diff --git "a/simplified_objects/033/textured.sdf" "b/simplified_objects/033/textured.sdf"
new file mode 100644--- /dev/null
+++ "b/simplified_objects/033/textured.sdf"
@@ -0,0 +1,1000003 @@
+100 100 100
+-0.109534 -0.109534 -0.109534
+0.00219069
+0.118288
+0.116929
+0.115596
+0.114289
+0.113009
+0.111758
+0.110536
+0.109344
+0.108184
+0.107055
+0.10596
+0.1049
+0.103874
+0.102886
+0.101934
+0.101022
+0.100148
+0.0993158
+0.098525
+0.0977768
+0.0970724
+0.0964125
+0.0957983
+0.095225
+0.0946966
+0.0942163
+0.0937847
+0.0934025
+0.092153
+0.0907569
+0.0893927
+0.0880619
+0.086766
+0.0855065
+0.0842829
+0.0830941
+0.0819467
+0.0808424
+0.0797829
+0.0787701
+0.0778059
+0.076892
+0.0760302
+0.0752128
+0.0744482
+0.0737407
+0.0730921
+0.072504
+0.0719777
+0.0715102
+0.0710928
+0.0707296
+0.0704233
+0.0701841
+0.0700127
+0.0699096
+0.0698744
+0.069407
+0.0689464
+0.0685458
+0.0682074
+0.0679381
+0.0677385
+0.0676094
+0.0675478
+0.0675468
+0.0676168
+0.0677527
+0.067866
+0.0675618
+0.0673248
+0.0671584
+0.0670519
+0.0670046
+0.0670248
+0.0671126
+0.0672341
+0.067413
+0.0676492
+0.0679136
+0.0682474
+0.0686495
+0.0691093
+0.069599
+0.0701297
+0.0707141
+0.0713609
+0.0720632
+0.0725829
+0.0730166
+0.073513
+0.0740709
+0.074689
+0.0753656
+0.0760994
+0.0768885
+0.0777314
+0.0786263
+0.0795715
+0.0805601
+0.116752
+0.115375
+0.114024
+0.112699
+0.111401
+0.110132
+0.108891
+0.107681
+0.106503
+0.105357
+0.104244
+0.103165
+0.102123
+0.101117
+0.100149
+0.0992194
+0.0983302
+0.0974822
+0.0966763
+0.0959138
+0.0951955
+0.0945226
+0.0938959
+0.0933133
+0.0927741
+0.0922838
+0.0918431
+0.0914528
+0.0906973
+0.0892784
+0.0878913
+0.0865374
+0.0852183
+0.0839356
+0.0826911
+0.0814823
+0.0803119
+0.0791847
+0.0781028
+0.0770679
+0.0760821
+0.0751472
+0.0742652
+0.0734342
+0.0726509
+0.0719258
+0.0712606
+0.0706572
+0.0701171
+0.0696403
+0.0692145
+0.0688438
+0.0685292
+0.0682834
+0.0681072
+0.0680012
+0.0679656
+0.0676544
+0.0671818
+0.0667735
+0.0664261
+0.0661495
+0.0659446
+0.0658119
+0.065749
+0.0657479
+0.0658199
+0.0659645
+0.0661709
+0.0659364
+0.0656935
+0.065523
+0.0654149
+0.0653707
+0.0653914
+0.0654831
+0.0656078
+0.0657939
+0.066033
+0.0663039
+0.0666457
+0.0670574
+0.067523
+0.0680287
+0.068572
+0.0691695
+0.0698306
+0.0705359
+0.0711131
+0.0715557
+0.0720621
+0.0726312
+0.0732614
+0.0739511
+0.0746987
+0.0755025
+0.0763607
+0.0772715
+0.0782331
+0.0792357
+0.115238
+0.113843
+0.112473
+0.11113
+0.109813
+0.108525
+0.107266
+0.106038
+0.104841
+0.103676
+0.102545
+0.101449
+0.100388
+0.0993646
+0.0983792
+0.0974332
+0.0965275
+0.0956635
+0.0948422
+0.0940648
+0.0933323
+0.0926458
+0.0920064
+0.0914142
+0.0908637
+0.090363
+0.0899129
+0.0895142
+0.0891675
+0.0878297
+0.0864193
+0.0850419
+0.0836993
+0.082393
+0.0811248
+0.0798966
+0.078704
+0.0775535
+0.0764485
+0.075391
+0.0743829
+0.0734264
+0.0725235
+0.0716762
+0.0708757
+0.0701322
+0.06945
+0.0688307
+0.0682761
+0.0677877
+0.0673543
+0.0669757
+0.0666532
+0.0664005
+0.0662193
+0.0661102
+0.0660737
+0.065928
+0.0654429
+0.0650267
+0.06467
+0.0643858
+0.0641752
+0.0640389
+0.0639746
+0.0639735
+0.0640475
+0.0641961
+0.0644169
+0.0643446
+0.0640956
+0.0639208
+0.0638111
+0.0637662
+0.0637874
+0.0638838
+0.064015
+0.0642081
+0.0644489
+0.0647264
+0.0650765
+0.0654981
+0.0659712
+0.0664897
+0.0670497
+0.0676606
+0.0683363
+0.0690444
+0.0696811
+0.0701327
+0.0706494
+0.0712297
+0.0718722
+0.0725751
+0.0733368
+0.0741553
+0.075029
+0.0759557
+0.0769281
+0.0779458
+0.113746
+0.112332
+0.110944
+0.109581
+0.108246
+0.106939
+0.105662
+0.104414
+0.103198
+0.102015
+0.100865
+0.0997505
+0.0986717
+0.0976302
+0.0966272
+0.0956637
+0.0947412
+0.0938607
+0.0930235
+0.0922308
+0.0914836
+0.0907832
+0.0901305
+0.0895268
+0.0889663
+0.0884548
+0.087995
+0.0875875
+0.0872332
+0.0864122
+0.0849783
+0.0835772
+0.0822106
+0.0808803
+0.079588
+0.0783357
+0.0771249
+0.0759505
+0.0748218
+0.073741
+0.07271
+0.0717312
+0.0708067
+0.0699386
+0.0691244
+0.0683619
+0.0676617
+0.0670259
+0.0664563
+0.0659545
+0.0655093
+0.065126
+0.064797
+0.064537
+0.0643506
+0.0642383
+0.0642007
+0.0642299
+0.0637319
+0.0633058
+0.062941
+0.0626491
+0.0624326
+0.0622925
+0.0622268
+0.0622257
+0.0623017
+0.0624545
+0.0626835
+0.0627888
+0.0625336
+0.0623545
+0.0622431
+0.0621974
+0.0622192
+0.062318
+0.0624584
+0.0626564
+0.0628971
+0.0631814
+0.06354
+0.0639717
+0.0644566
+0.0649872
+0.0655652
+0.0661898
+0.0668693
+0.0675909
+0.0682894
+0.0687501
+0.0692771
+0.0698689
+0.0705237
+0.07124
+0.0720157
+0.0728491
+0.0737382
+0.0746777
+0.0756623
+0.0766968
+0.112277
+0.110844
+0.109437
+0.108056
+0.106701
+0.105375
+0.104078
+0.102812
+0.101577
+0.100374
+0.0992056
+0.0980719
+0.0969745
+0.0959145
+0.0948933
+0.0939121
+0.0929722
+0.0920748
+0.0912212
+0.0904126
+0.0896503
+0.0889355
+0.0882692
+0.0876526
+0.0870805
+0.0865579
+0.0860879
+0.0856713
+0.085309
+0.0850017
+0.0835699
+0.0821447
+0.0807539
+0.0793992
+0.0780824
+0.0768055
+0.0755706
+0.0743775
+0.0732246
+0.0721197
+0.0710653
+0.0700635
+0.0691167
+0.0682271
+0.0673969
+0.0666165
+0.0658978
+0.0652448
+0.0646595
+0.0641437
+0.0636863
+0.0632981
+0.0629623
+0.0626947
+0.0625028
+0.0623872
+0.0623485
+0.0623859
+0.0620511
+0.0616133
+0.0612417
+0.0609416
+0.060719
+0.060575
+0.0605078
+0.0605066
+0.0605848
+0.0607419
+0.0609773
+0.0612718
+0.0610104
+0.0608267
+0.0607137
+0.0606672
+0.0606895
+0.0607908
+0.0609409
+0.0611437
+0.0613842
+0.0616755
+0.0620429
+0.0624849
+0.0629818
+0.0635247
+0.0641212
+0.0647491
+0.06544
+0.066178
+0.0669139
+0.0674104
+0.0679478
+0.068551
+0.0692183
+0.0699479
+0.0707379
+0.0715862
+0.0724899
+0.0734385
+0.0744395
+0.0754907
+0.110832
+0.10938
+0.107954
+0.106553
+0.105179
+0.103834
+0.102518
+0.101231
+0.0999768
+0.0987548
+0.0975668
+0.0964138
+0.0952973
+0.0942185
+0.0931787
+0.0921792
+0.0912215
+0.0903067
+0.0894362
+0.0886114
+0.0878334
+0.0871036
+0.0864232
+0.0857934
+0.0852088
+0.0846746
+0.0841941
+0.0837682
+0.0833976
+0.0830832
+0.0821922
+0.0807463
+0.079331
+0.0779515
+0.0766099
+0.075308
+0.0740482
+0.0728324
+0.0716586
+0.0705293
+0.0694507
+0.0684253
+0.0674555
+0.0665437
+0.0656923
+0.0648982
+0.0641602
+0.0634894
+0.0628877
+0.0623572
+0.0618871
+0.061489
+0.0611511
+0.0608755
+0.0606778
+0.0605588
+0.0605188
+0.0605568
+0.0604029
+0.0599532
+0.0595745
+0.0592659
+0.059037
+0.0588888
+0.0588201
+0.058819
+0.0588994
+0.0590609
+0.0593031
+0.0596173
+0.0595287
+0.0593405
+0.0592258
+0.0591785
+0.0592014
+0.0593053
+0.0594653
+0.0596732
+0.0599133
+0.0602117
+0.0605879
+0.0610405
+0.0615497
+0.062105
+0.0627103
+0.0633477
+0.0640537
+0.0648075
+0.0655477
+0.0661161
+0.0666639
+0.0672787
+0.0679585
+0.0687015
+0.0695056
+0.0703687
+0.07128
+0.0722445
+0.0732617
+0.0743297
+0.109411
+0.107941
+0.106495
+0.105075
+0.103681
+0.102316
+0.10098
+0.0996741
+0.0983996
+0.0971578
+0.09595
+0.0947774
+0.0936413
+0.0925432
+0.0914844
+0.0904662
+0.0894901
+0.0885575
+0.0876696
+0.086828
+0.0860339
+0.0852887
+0.0845938
+0.0839502
+0.0833526
+0.0828065
+0.0823151
+0.0818794
+0.0815002
+0.0811784
+0.0808498
+0.07938
+0.0779437
+0.0765392
+0.0751723
+0.0738452
+0.0725599
+0.0713188
+0.0701241
+0.0689718
+0.0678685
+0.0668188
+0.0658253
+0.0648905
+0.0640172
+0.0632077
+0.0624512
+0.0617617
+0.061143
+0.0605973
+0.0601139
+0.059704
+0.0593654
+0.0590815
+0.0588778
+0.0587551
+0.058714
+0.0587525
+0.0587902
+0.058328
+0.0579421
+0.0576247
+0.0573894
+0.0572369
+0.0571666
+0.0571654
+0.0572481
+0.0574144
+0.0576634
+0.0579938
+0.0580919
+0.057899
+0.0577827
+0.0577346
+0.0577581
+0.0578645
+0.0580349
+0.0582479
+0.0584875
+0.0587931
+0.0591783
+0.0596416
+0.0601632
+0.0607312
+0.0613405
+0.061992
+0.0627133
+0.0634762
+0.0642271
+0.06487
+0.0654283
+0.0660545
+0.0667468
+0.0675031
+0.0683213
+0.069193
+0.0701177
+0.0710979
+0.0721313
+0.0732157
+0.108016
+0.106526
+0.105061
+0.103621
+0.102209
+0.100823
+0.0994671
+0.098141
+0.0968464
+0.0955844
+0.0943564
+0.0931637
+0.0920078
+0.0908899
+0.0898116
+0.0887742
+0.0877793
+0.0868283
+0.0859226
+0.0850637
+0.084253
+0.0834919
+0.0827818
+0.082124
+0.0815131
+0.0809546
+0.0804519
+0.080006
+0.0796179
+0.0792885
+0.0790185
+0.0780506
+0.0765898
+0.0751642
+0.0737719
+0.072419
+0.071108
+0.0698411
+0.0686207
+0.0674492
+0.0663208
+0.0652462
+0.0642284
+0.0632701
+0.062374
+0.0615429
+0.060773
+0.0600643
+0.0594279
+0.0588663
+0.058369
+0.0579468
+0.0576048
+0.0573151
+0.0571051
+0.0569786
+0.0569361
+0.0569754
+0.057085
+0.0567409
+0.0563471
+0.0560212
+0.0557791
+0.0556222
+0.0555503
+0.0555491
+0.0556342
+0.0558052
+0.0560614
+0.0564016
+0.0566958
+0.0564982
+0.056385
+0.0563389
+0.0563629
+0.056472
+0.0566532
+0.0568714
+0.0571101
+0.0574231
+0.0578174
+0.0582915
+0.0588256
+0.0594048
+0.0600195
+0.0606852
+0.0614218
+0.0621936
+0.0629548
+0.0636749
+0.0642436
+0.0648812
+0.0655859
+0.0663555
+0.067184
+0.0680655
+0.0690053
+0.0700011
+0.0710505
+0.0721512
+0.106642
+0.105134
+0.103651
+0.102193
+0.100762
+0.0993563
+0.0979797
+0.0966332
+0.0953181
+0.0940356
+0.0927871
+0.091574
+0.0903977
+0.0892597
+0.0881615
+0.0871045
+0.0860903
+0.0851204
+0.0841963
+0.0833196
+0.0824917
+0.0817143
+0.0809886
+0.0803161
+0.0796914
+0.07912
+0.0786055
+0.0781491
+0.0777518
+0.0774144
+0.0771378
+0.0767608
+0.0752749
+0.0738242
+0.0724106
+0.0710318
+0.0696947
+0.0684016
+0.0671551
+0.0659578
+0.0648055
+0.0637053
+0.0626625
+0.0616798
+0.0607603
+0.0599068
+0.0591222
+0.0583997
+0.057745
+0.0571668
+0.0566551
+0.05622
+0.0558675
+0.0555789
+0.0553623
+0.0552318
+0.055188
+0.0552279
+0.055341
+0.0551952
+0.0547903
+0.0544586
+0.0542095
+0.0540481
+0.0539745
+0.0539733
+0.0540609
+0.0542369
+0.0545004
+0.0548503
+0.0552663
+0.0551481
+0.0550322
+0.054995
+0.0550197
+0.0551314
+0.0553237
+0.0555471
+0.0557847
+0.0561051
+0.0565086
+0.0569936
+0.0575404
+0.0581251
+0.0587505
+0.0594304
+0.0601824
+0.0609628
+0.061731
+0.062503
+0.0631068
+0.0637559
+0.0644729
+0.0652555
+0.0660949
+0.0669907
+0.0679454
+0.0689565
+0.0700216
+0.0711381
+0.10529
+0.103767
+0.102264
+0.100787
+0.0993352
+0.0979114
+0.0965162
+0.095151
+0.0938161
+0.0925128
+0.0912435
+0.0900096
+0.0888126
+0.087654
+0.0865353
+0.0854582
+0.0844242
+0.083435
+0.082492
+0.081597
+0.0807515
+0.0799571
+0.0792154
+0.0785277
+0.0778886
+0.0773039
+0.0767773
+0.0763099
+0.075903
+0.0755573
+0.0752739
+0.0750534
+0.0740016
+0.0725254
+0.071086
+0.0696858
+0.0683224
+0.0670029
+0.0657298
+0.064506
+0.0633274
+0.0622011
+0.0611326
+0.0601249
+0.0591813
+0.0583047
+0.0574982
+0.056763
+0.0560937
+0.0554982
+0.0549751
+0.0545266
+0.0541631
+0.0538758
+0.0536523
+0.0535177
+0.0534725
+0.053513
+0.0536298
+0.0536943
+0.053278
+0.0529406
+0.0526842
+0.0525181
+0.0524429
+0.0524416
+0.0525318
+0.0527129
+0.052984
+0.0533438
+0.0537695
+0.0538534
+0.0537347
+0.0537022
+0.0537321
+0.0538465
+0.0540496
+0.0542663
+0.0545148
+0.0548426
+0.0552554
+0.0557512
+0.0563064
+0.0569008
+0.0575369
+0.058231
+0.0589983
+0.0597868
+0.0605618
+0.0613435
+0.0620235
+0.0626838
+0.0634129
+0.0642085
+0.0650613
+0.0659712
+0.0669404
+0.0679665
+0.0690468
+0.0701789
+0.103838
+0.102429
+0.100906
+0.0994081
+0.0979363
+0.0964918
+0.0950759
+0.0936897
+0.0923348
+0.0910124
+0.089724
+0.088471
+0.0872536
+0.086074
+0.0849346
+0.0838369
+0.0827827
+0.0817736
+0.0808112
+0.0798974
+0.0790337
+0.0782219
+0.0774635
+0.0767602
+0.0761048
+0.0755063
+0.0749671
+0.0744884
+0.0740714
+0.0737172
+0.0734267
+0.0732006
+0.0727383
+0.0712702
+0.069805
+0.0683785
+0.0669934
+0.0656474
+0.0643476
+0.063097
+0.0618915
+0.0607386
+0.0596439
+0.0586106
+0.0576422
+0.0567418
+0.0559128
+0.0551565
+0.0544697
+0.0538568
+0.0533263
+0.0528698
+0.0524947
+0.052209
+0.0519785
+0.0518395
+0.0517928
+0.0518341
+0.0519545
+0.0521668
+0.0518143
+0.051471
+0.0512073
+0.0510364
+0.0509592
+0.0509581
+0.0510509
+0.0512372
+0.0515161
+0.051886
+0.0523197
+0.0526181
+0.0524965
+0.0524633
+0.0525004
+0.0526175
+0.0528252
+0.0530406
+0.0532949
+0.0536302
+0.0540522
+0.054559
+0.0551261
+0.0557359
+0.0563824
+0.0570905
+0.0578729
+0.058661
+0.0594504
+0.0602413
+0.0609996
+0.0616709
+0.0624118
+0.06322
+0.064086
+0.0650095
+0.0659929
+0.0670334
+0.0681286
+0.0692757
+0.102413
+0.101017
+0.0995773
+0.0980592
+0.0965668
+0.0951016
+0.0936646
+0.0922573
+0.090881
+0.0895371
+0.0882272
+0.0869527
+0.0857153
+0.0845166
+0.0833582
+0.0822415
+0.0811671
+0.0801376
+0.0791554
+0.0782222
+0.0773398
+0.07651
+0.0757345
+0.0750119
+0.0743401
+0.0737273
+0.0731749
+0.0726844
+0.072257
+0.0718939
+0.071596
+0.0713641
+0.0711988
+0.0700233
+0.0685701
+0.0671174
+0.0657056
+0.0643375
+0.0630112
+0.0617336
+0.0605009
+0.0593209
+0.0581996
+0.0571402
+0.0561464
+0.0552217
+0.0543695
+0.0535915
+0.0528843
+0.0522557
+0.0517088
+0.0512498
+0.050866
+0.0505711
+0.0503443
+0.0502008
+0.0501526
+0.0501945
+0.050319
+0.0505381
+0.0504032
+0.0500542
+0.049783
+0.0496072
+0.0495277
+0.0495271
+0.0496226
+0.0498143
+0.0501011
+0.0504777
+0.0509229
+0.0514464
+0.0513221
+0.0512881
+0.051326
+0.0514458
+0.0516583
+0.0518785
+0.0521384
+0.0524811
+0.0529123
+0.0534299
+0.0540088
+0.054634
+0.0552906
+0.0560125
+0.0568097
+0.0575958
+0.0584
+0.0591998
+0.0600383
+0.0607201
+0.0614725
+0.0622929
+0.0631716
+0.0641083
+0.0651053
+0.0661598
+0.0672692
+0.0684307
+0.101004
+0.0995942
+0.0982116
+0.096741
+0.0952281
+0.0937419
+0.0922837
+0.090855
+0.0894571
+0.0880916
+0.0867598
+0.0854635
+0.0842042
+0.0829837
+0.0818036
+0.0806657
+0.0795719
+0.078524
+0.0775239
+0.0765727
+0.0756714
+0.0748231
+0.0740299
+0.0732864
+0.0725986
+0.0719709
+0.071405
+0.0709022
+0.070464
+0.0700916
+0.069786
+0.069548
+0.0693785
+0.0687726
+0.0673415
+0.0659049
+0.0644666
+0.0630716
+0.0617228
+0.0604188
+0.0591587
+0.0579515
+0.0568031
+0.0557172
+0.0546975
+0.0537479
+0.0528719
+0.0520715
+0.0513434
+0.0506987
+0.0501348
+0.0496613
+0.0492807
+0.0489764
+0.0487539
+0.0486056
+0.0485559
+0.0485985
+0.048727
+0.0489533
+0.0490495
+0.048692
+0.048416
+0.0482352
+0.0481534
+0.0481533
+0.0482515
+0.0484486
+0.0487435
+0.0491262
+0.0495836
+0.0501226
+0.0502158
+0.050181
+0.0502198
+0.0503422
+0.0505593
+0.0507843
+0.0510498
+0.0513997
+0.0518399
+0.0523681
+0.0529587
+0.053599
+0.0542653
+0.0550006
+0.0558054
+0.0565953
+0.057414
+0.0582194
+0.0590706
+0.0598345
+0.0605979
+0.06143
+0.0623208
+0.0632702
+0.0642801
+0.065348
+0.0664709
+0.0676461
+0.099622
+0.0981925
+0.0967915
+0.0954202
+0.0939213
+0.0924141
+0.0909347
+0.0894844
+0.0880648
+0.0866773
+0.0853235
+0.084005
+0.0827235
+0.0814808
+0.0802786
+0.0791188
+0.0780033
+0.0769341
+0.075913
+0.074942
+0.0740232
+0.0731585
+0.0723497
+0.0715863
+0.070882
+0.070239
+0.069659
+0.0691435
+0.0686941
+0.068312
+0.0679984
+0.0677542
+0.0675802
+0.0674768
+0.0661126
+0.0646916
+0.0632792
+0.0618574
+0.0604816
+0.0591549
+0.0578684
+0.0566336
+0.055458
+0.0543452
+0.0532993
+0.0523243
+0.0514241
+0.0506008
+0.0498512
+0.0491878
+0.0486086
+0.0481201
+0.0477272
+0.0474294
+0.0472115
+0.0470584
+0.047007
+0.0470503
+0.047183
+0.0474167
+0.0477498
+0.0473907
+0.0471111
+0.0469253
+0.0468413
+0.0468417
+0.0469426
+0.0471452
+0.0474482
+0.047837
+0.0483065
+0.0488596
+0.0491822
+0.0491467
+0.0491864
+0.0493113
+0.0495329
+0.0497625
+0.0500335
+0.0503905
+0.0508394
+0.0513779
+0.0519797
+0.0526348
+0.0533103
+0.0540587
+0.05486
+0.0556631
+0.0564959
+0.0572979
+0.0581626
+0.059017
+0.0597908
+0.060634
+0.0615364
+0.0624976
+0.0635198
+0.0646002
+0.0657359
+0.066924
+0.0982695
+0.0968201
+0.0953989
+0.0940073
+0.0926462
+0.0911196
+0.0896189
+0.088147
+0.0867055
+0.0852959
+0.0839198
+0.0825789
+0.0812749
+0.0800097
+0.078785
+0.0776029
+0.0764654
+0.0753743
+0.0743318
+0.0733399
+0.0724007
+0.0715163
+0.0706888
+0.0699135
+0.0691922
+0.0685333
+0.0679387
+0.0674101
+0.0669491
+0.066557
+0.0662351
+0.0659843
+0.0658056
+0.0656995
+0.0649344
+0.0634871
+0.0620824
+0.060698
+0.0592953
+0.0579415
+0.0566334
+0.0553712
+0.0541681
+0.0530283
+0.0519559
+0.0509551
+0.0500303
+0.0491837
+0.0484122
+0.0477288
+0.0471349
+0.0466309
+0.0462253
+0.0459208
+0.045713
+0.045564
+0.0455109
+0.0455549
+0.0456919
+0.0459332
+0.046277
+0.0461567
+0.045872
+0.0456811
+0.0455948
+0.0455977
+0.0457013
+0.0459094
+0.0462188
+0.046615
+0.0470967
+0.0476639
+0.0482248
+0.0481899
+0.0482303
+0.0483577
+0.0485837
+0.0488178
+0.049094
+0.0494577
+0.049915
+0.0504617
+0.0510759
+0.0517438
+0.0524296
+0.0531903
+0.0539868
+0.0548026
+0.0556347
+0.0564465
+0.057324
+0.058265
+0.059054
+0.0599075
+0.0608207
+0.061793
+0.0628268
+0.0639189
+0.0650665
+0.0662666
+0.0969477
+0.0954781
+0.0940367
+0.0926246
+0.0912433
+0.0898579
+0.0883374
+0.0868442
+0.0853807
+0.0839489
+0.0825503
+0.0811868
+0.0798601
+0.0785721
+0.0773247
+0.0761199
+0.0749598
+0.0738465
+0.0727821
+0.0717688
+0.0708088
+0.0699043
+0.0690575
+0.06827
+0.0675311
+0.0668559
+0.0662463
+0.0657041
+0.065231
+0.0648285
+0.0644979
+0.0642404
+0.0640568
+0.0639478
+0.0638079
+0.0623362
+0.0609051
+0.0595202
+0.0581668
+0.056786
+0.0554575
+0.0541679
+0.0529375
+0.0517706
+0.0506715
+0.0496449
+0.0486953
+0.047825
+0.0470312
+0.0463274
+0.0457179
+0.0451989
+0.0447803
+0.0444659
+0.0442579
+0.0441177
+0.0440629
+0.0441169
+0.0442591
+0.0445081
+0.0448628
+0.0449956
+0.0447037
+0.0445079
+0.0444193
+0.0444269
+0.0445332
+0.0447467
+0.0450595
+0.0454658
+0.0459596
+0.0465406
+0.0472072
+0.0473033
+0.0473564
+0.0474861
+0.0477162
+0.0479545
+0.0482357
+0.0486058
+0.0490694
+0.0496087
+0.0502351
+0.0509167
+0.0516218
+0.0523863
+0.0531895
+0.0540174
+0.0548449
+0.0556682
+0.0565578
+0.0575114
+0.0583901
+0.0592532
+0.0601763
+0.0611589
+0.0622032
+0.063306
+0.0644645
+0.0656757
+0.0956577
+0.0941681
+0.0927062
+0.0912736
+0.0898715
+0.0885015
+0.0870905
+0.085577
+0.0840922
+0.082638
+0.0812169
+0.0798306
+0.078481
+0.0771699
+0.0758995
+0.0746717
+0.0734888
+0.0723528
+0.0712661
+0.070231
+0.0692497
+0.0683245
+0.0674578
+0.0666519
+0.0659011
+0.065209
+0.0645838
+0.0640275
+0.0635419
+0.0631287
+0.0627892
+0.0625246
+0.062336
+0.0622239
+0.0621889
+0.061241
+0.0597848
+0.0583733
+0.0570111
+0.055683
+0.0543275
+0.0530278
+0.0517703
+0.0505765
+0.049451
+0.0483984
+0.0474238
+0.0465298
+0.0457135
+0.0449891
+0.0443613
+0.0438296
+0.0433978
+0.0430733
+0.0428585
+0.042732
+0.0426754
+0.0427312
+0.0428904
+0.0431473
+0.0435131
+0.0439132
+0.0436143
+0.0434135
+0.0433227
+0.0433344
+0.0434435
+0.0436623
+0.0439789
+0.0443951
+0.0449006
+0.0454951
+0.0461768
+0.0464952
+0.0465642
+0.0467011
+0.0469222
+0.0471773
+0.0474624
+0.0478374
+0.0482912
+0.0488388
+0.0494748
+0.0501667
+0.0508824
+0.0516587
+0.0524594
+0.0532962
+0.0541323
+0.0549663
+0.0558671
+0.0568323
+0.0578017
+0.0586734
+0.0596055
+0.0605974
+0.0616512
+0.0627637
+0.063932
+0.0651531
+0.094401
+0.0928912
+0.091409
+0.0899557
+0.0885327
+0.0871416
+0.0857839
+0.0843462
+0.0828404
+0.081365
+0.0799212
+0.0785121
+0.0771394
+0.0758051
+0.0745115
+0.0732604
+0.0720543
+0.0708954
+0.069786
+0.0687285
+0.0677255
+0.0667792
+0.0658922
+0.0650669
+0.0643036
+0.0635941
+0.0629529
+0.0623821
+0.0618836
+0.0614592
+0.0611104
+0.0608386
+0.0606447
+0.0605295
+0.0604935
+0.0601914
+0.0587238
+0.0572873
+0.0558986
+0.0545626
+0.0532635
+0.0519373
+0.050665
+0.0494445
+0.0482925
+0.0472142
+0.0462146
+0.045299
+0.0444647
+0.0437197
+0.0430733
+0.0425291
+0.042084
+0.0417493
+0.0415276
+0.0414158
+0.0413574
+0.041415
+0.041588
+0.0418557
+0.0422327
+0.0427158
+0.0426097
+0.0424041
+0.0423112
+0.0423232
+0.0424348
+0.0426588
+0.0429828
+0.0434086
+0.0439255
+0.044533
+0.0452292
+0.0457777
+0.0458478
+0.0460071
+0.0462114
+0.0464786
+0.0467602
+0.0471407
+0.0476009
+0.0481563
+0.0488011
+0.0495024
+0.0502276
+0.0510149
+0.0518066
+0.0526538
+0.0535
+0.0543437
+0.0552547
+0.0562304
+0.0572433
+0.0581704
+0.0591104
+0.0601105
+0.0611726
+0.0622938
+0.0634707
+0.0647005
+0.0931788
+0.0916489
+0.0901462
+0.0886722
+0.0872284
+0.0858161
+0.0844371
+0.0830929
+0.0816271
+0.0801302
+0.0786638
+0.0772317
+0.0758359
+0.0744783
+0.0731611
+0.0718866
+0.0706571
+0.0694748
+0.0683424
+0.0672622
+0.0662369
+0.0652691
+0.0643613
+0.0635161
+0.062733
+0.0620055
+0.0613477
+0.0607618
+0.0602499
+0.0598139
+0.0594555
+0.059176
+0.0589767
+0.0588583
+0.0588212
+0.0588658
+0.0577115
+0.0562645
+0.0548512
+0.053489
+0.0521832
+0.0509177
+0.0496255
+0.0483835
+0.0472057
+0.046102
+0.0450777
+0.0441386
+0.0432899
+0.0425253
+0.0418605
+0.0413013
+0.0408455
+0.0405005
+0.040272
+0.0401618
+0.0401159
+0.0401752
+0.0403536
+0.0406294
+0.0410176
+0.0415176
+0.0416961
+0.041486
+0.041391
+0.0414033
+0.0415174
+0.0417463
+0.0420773
+0.0425121
+0.0430398
+0.0436597
+0.0443696
+0.0451553
+0.0452263
+0.0453915
+0.0455948
+0.0458657
+0.046151
+0.0465365
+0.0470026
+0.047565
+0.0482176
+0.0489272
+0.049661
+0.050458
+0.0512393
+0.0520958
+0.0529509
+0.0538032
+0.0547231
+0.0557081
+0.0567304
+0.0577462
+0.058693
+0.0597
+0.0607694
+0.0618978
+0.0630822
+0.0643193
+0.0919926
+0.0904426
+0.0889196
+0.0874249
+0.0859601
+0.0845266
+0.0831262
+0.0817605
+0.0804313
+0.078936
+0.0774471
+0.075992
+0.074573
+0.073192
+0.0718513
+0.0705531
+0.0692999
+0.0680941
+0.0669383
+0.0658351
+0.0647872
+0.0637974
+0.0628684
+0.0620028
+0.0612003
+0.0604544
+0.0597795
+0.0591781
+0.0586524
+0.0582044
+0.057836
+0.0575487
+0.0573437
+0.0572219
+0.0571838
+0.0572296
+0.0567657
+0.055294
+0.0538712
+0.0524849
+0.0511535
+0.0498828
+0.0486561
+0.0474002
+0.0461973
+0.0450689
+0.0440206
+0.0430584
+0.042188
+0.0414124
+0.0407294
+0.0401545
+0.0396883
+0.0393332
+0.0390978
+0.0389843
+0.038958
+0.0390191
+0.0392027
+0.0394866
+0.039886
+0.0404004
+0.0408796
+0.0406653
+0.0405683
+0.0405809
+0.0406973
+0.0409308
+0.0412683
+0.0417116
+0.0422493
+0.0428806
+0.0436031
+0.0444108
+0.0446963
+0.0448708
+0.0450732
+0.0453477
+0.0456389
+0.0460287
+0.0464999
+0.0470683
+0.0477276
+0.0484444
+0.0491855
+0.0499771
+0.0507603
+0.0516247
+0.0524875
+0.0533472
+0.0542706
+0.0552596
+0.0562981
+0.0573737
+0.0583549
+0.0593677
+0.0604429
+0.0615773
+0.0627677
+0.0640109
+0.0908437
+0.0892738
+0.0877305
+0.0862152
+0.0847294
+0.0832748
+0.081853
+0.0804657
+0.0791147
+0.0777852
+0.0762738
+0.074796
+0.0733538
+0.0719494
+0.0705851
+0.0692632
+0.0679862
+0.0667567
+0.0655773
+0.0644508
+0.0633801
+0.0623679
+0.0614173
+0.060531
+0.0597087
+0.0589439
+0.0582515
+0.0576342
+0.0570942
+0.0566339
+0.0562553
+0.0559598
+0.055749
+0.0556237
+0.0555845
+0.0556316
+0.0557649
+0.0543945
+0.0529475
+0.051553
+0.0501983
+0.0489028
+0.0476728
+0.046491
+0.0452725
+0.0441204
+0.0430491
+0.0420646
+0.0411733
+0.0403812
+0.0396871
+0.0390969
+0.0386179
+0.0382529
+0.0380109
+0.0378941
+0.0378727
+0.0379543
+0.0381431
+0.0384348
+0.038845
+0.039373
+0.0399956
+0.039948
+0.0398493
+0.039862
+0.0399805
+0.0402182
+0.0405617
+0.0410126
+0.0415593
+0.0422009
+0.0429349
+0.0437549
+0.0442555
+0.0443979
+0.0446356
+0.0449127
+0.0452245
+0.0456206
+0.046096
+0.0466693
+0.0473339
+0.0480566
+0.0488038
+0.0495827
+0.0503721
+0.051243
+0.0521121
+0.0529751
+0.0538989
+0.0548947
+0.0559483
+0.0570305
+0.0580973
+0.0591147
+0.0601944
+0.0613334
+0.0625284
+0.0637763
+0.0897336
+0.0881439
+0.0865805
+0.0850447
+0.0835381
+0.0820624
+0.0806192
+0.0792103
+0.0778375
+0.0765029
+0.0751462
+0.0736457
+0.0721805
+0.0707528
+0.069365
+0.0680194
+0.0667186
+0.0654652
+0.0642622
+0.0631122
+0.0620184
+0.0609836
+0.0600111
+0.0591037
+0.0582612
+0.0574772
+0.056767
+0.0561333
+0.0555788
+0.0551058
+0.0547166
+0.0544128
+0.0541959
+0.054067
+0.0540267
+0.0540752
+0.054191
+0.0535695
+0.0520996
+0.0506818
+0.0493205
+0.0480028
+0.0467491
+0.0455663
+0.0444365
+0.0432622
+0.0421691
+0.0411636
+0.0402523
+0.0394417
+0.0387383
+0.0381359
+0.0376448
+0.0372702
+0.0370217
+0.0369018
+0.0368799
+0.0369695
+0.0371705
+0.0374816
+0.0379021
+0.0384431
+0.0390805
+0.0393397
+0.0392395
+0.0392524
+0.0393728
+0.0396141
+0.0399627
+0.0404204
+0.040975
+0.0416256
+0.0423696
+0.0432003
+0.0434516
+0.0435967
+0.0438472
+0.044205
+0.0446674
+0.0452314
+0.0457934
+0.0463704
+0.0470323
+0.0477565
+0.0485181
+0.0492827
+0.0500768
+0.0509528
+0.051824
+0.0526855
+0.0536143
+0.0546152
+0.0556817
+0.0567698
+0.0578688
+0.0589389
+0.0600249
+0.061167
+0.0623653
+0.0636164
+0.0886638
+0.0870545
+0.0854711
+0.0839151
+0.0823878
+0.0808911
+0.0794267
+0.0779962
+0.0766017
+0.0752451
+0.0739286
+0.0725433
+0.0710554
+0.0696047
+0.0681934
+0.0668242
+0.0654997
+0.0642226
+0.0629958
+0.0618223
+0.0607052
+0.0596477
+0.058653
+0.0577243
+0.0568614
+0.0560578
+0.0553293
+0.054679
+0.0541096
+0.0536237
+0.0532236
+0.0529112
+0.0526882
+0.0525556
+0.0525141
+0.052564
+0.0526441
+0.0523996
+0.0513312
+0.0498916
+0.0485082
+0.047186
+0.0459115
+0.0447066
+0.0435785
+0.0424997
+0.0413864
+0.0403614
+0.0394316
+0.0386038
+0.0378848
+0.0372791
+0.0367765
+0.036393
+0.0361385
+0.0360156
+0.0359931
+0.036085
+0.0362923
+0.0366207
+0.037065
+0.0376107
+0.0382571
+0.0388456
+0.0387441
+0.0387573
+0.0388791
+0.0391235
+0.0394765
+0.0399397
+0.0405008
+0.041159
+0.0419112
+0.0426915
+0.042745
+0.0428924
+0.043147
+0.0435106
+0.0439803
+0.044553
+0.0452216
+0.0459678
+0.0468047
+0.0475461
+0.0483301
+0.0490787
+0.049876
+0.0507534
+0.0516121
+0.0524854
+0.053418
+0.0544225
+0.0554845
+0.0565909
+0.0576951
+0.0588316
+0.059929
+0.0610789
+0.0622788
+0.0635316
+0.0876356
+0.0860072
+0.0844041
+0.082828
+0.0812804
+0.0797629
+0.0782773
+0.0768254
+0.0754093
+0.0740309
+0.0726924
+0.071396
+0.0699749
+0.0685014
+0.067067
+0.0656744
+0.0643262
+0.0630254
+0.0617749
+0.0605779
+0.0594375
+0.0583571
+0.05734
+0.0563898
+0.0555098
+0.054688
+0.0539411
+0.0532738
+0.0526892
+0.05219
+0.0517789
+0.0514577
+0.0512284
+0.051092
+0.0510493
+0.0511006
+0.0511444
+0.0508926
+0.050646
+0.0491863
+0.0477825
+0.0464397
+0.0451632
+0.0439393
+0.042791
+0.0417262
+0.0407067
+0.0396642
+0.0387176
+0.0378742
+0.0371411
+0.0365248
+0.0360207
+0.035629
+0.035369
+0.0352435
+0.0352205
+0.0353144
+0.0355278
+0.0358631
+0.0363276
+0.036872
+0.0375311
+0.0383044
+0.0383676
+0.0383809
+0.038504
+0.0387507
+0.0391071
+0.0395746
+0.0401409
+0.0408048
+0.0415635
+0.0420863
+0.0421405
+0.0422901
+0.0425483
+0.0429169
+0.0433931
+0.0439704
+0.04463
+0.0453859
+0.0462333
+0.0471673
+0.0481828
+0.0489719
+0.049771
+0.0506318
+0.0514926
+0.0523689
+0.0533111
+0.0543176
+0.0553733
+0.0564819
+0.0576043
+0.0587577
+0.0599036
+0.0610604
+0.0622629
+0.0635154
+0.0866507
+0.0850033
+0.083381
+0.0817852
+0.0802174
+0.0786794
+0.077173
+0.0756999
+0.0742623
+0.0728622
+0.0715019
+0.0701835
+0.0689096
+0.0674449
+0.0659876
+0.0645717
+0.0632001
+0.0618756
+0.0606014
+0.0593806
+0.0582168
+0.0571133
+0.0560737
+0.0551016
+0.0542007
+0.0533706
+0.0526049
+0.0519205
+0.0513204
+0.0508079
+0.0503854
+0.0500554
+0.0498195
+0.0496793
+0.0496354
+0.0496882
+0.049696
+0.0494368
+0.0492738
+0.0485637
+0.0471432
+0.0457816
+0.0444863
+0.0432631
+0.042101
+0.0410183
+0.0400264
+0.0390646
+0.0381032
+0.0372459
+0.0365002
+0.0358729
+0.0353619
+0.0349629
+0.0346979
+0.03457
+0.0345697
+0.0346653
+0.0348842
+0.0352257
+0.0356985
+0.0362508
+0.036921
+0.0377068
+0.0381136
+0.0381269
+0.0382508
+0.0384992
+0.0388578
+0.0393283
+0.0398981
+0.040566
+0.041329
+0.0415878
+0.0416297
+0.0417772
+0.0420386
+0.0424116
+0.0428934
+0.0434722
+0.0441393
+0.0449034
+0.0457597
+0.0467032
+0.0477286
+0.0488308
+0.0497564
+0.050605
+0.0514661
+0.0523429
+0.0532876
+0.0542945
+0.0553487
+0.0564577
+0.0575968
+0.05875
+0.0599318
+0.0611141
+0.0623155
+0.063567
+0.0857104
+0.0840446
+0.0824034
+0.0807883
+0.0792008
+0.0776427
+0.0761157
+0.0746218
+0.073163
+0.0717415
+0.0703594
+0.0690193
+0.0677234
+0.0664439
+0.0649642
+0.0635255
+0.0621307
+0.0607829
+0.0594853
+0.0582412
+0.0570541
+0.0559277
+0.0548656
+0.0538718
+0.0529499
+0.0521039
+0.0513275
+0.0506258
+0.0500103
+0.0494841
+0.0490503
+0.0487112
+0.0484688
+0.0483246
+0.0482795
+0.0483338
+0.0483035
+0.0480369
+0.0478691
+0.0478012
+0.0465828
+0.0452043
+0.0438919
+0.0426517
+0.0414902
+0.0403959
+0.0393882
+0.038479
+0.0376055
+0.0367366
+0.0359803
+0.0353438
+0.0348251
+0.0344198
+0.0341506
+0.0340206
+0.0340314
+0.0341447
+0.0343685
+0.034715
+0.0351804
+0.0357366
+0.0364164
+0.0371624
+0.0377588
+0.0379977
+0.038122
+0.0383712
+0.0387311
+0.0392031
+0.0397746
+0.0404446
+0.0411993
+0.0411868
+0.0412197
+0.0413687
+0.0416326
+0.0420093
+0.0424956
+0.0430798
+0.0437528
+0.0445235
+0.045387
+0.0463381
+0.0473714
+0.0484818
+0.049664
+0.0506729
+0.0515329
+0.0524086
+0.0533509
+0.0543566
+0.0554107
+0.0565186
+0.0576613
+0.0588107
+0.0600046
+0.0612207
+0.062445
+0.063694
+0.0848163
+0.0831326
+0.081473
+0.0798391
+0.0782323
+0.0766545
+0.0751075
+0.0735931
+0.0721135
+0.0706709
+0.0692675
+0.0679058
+0.0665883
+0.0653177
+0.0639994
+0.0625385
+0.0611212
+0.0597507
+0.0584302
+0.0571631
+0.0559531
+0.0548041
+0.0537198
+0.0527043
+0.0517617
+0.050896
+0.0501111
+0.0493944
+0.0487633
+0.0482236
+0.0477783
+0.0474301
+0.0471811
+0.047033
+0.0469867
+0.0470424
+0.0469635
+0.0466892
+0.0465165
+0.0464467
+0.0461196
+0.0447269
+0.0434
+0.0421454
+0.0409695
+0.0398794
+0.0388632
+0.0379415
+0.0371262
+0.0363523
+0.0355879
+0.0349442
+0.0344195
+0.0340094
+0.0337369
+0.0336053
+0.0336162
+0.0337288
+0.033941
+0.0342922
+0.0347781
+0.0353092
+0.0359454
+0.0365548
+0.037161
+0.0378543
+0.038119
+0.0383682
+0.038728
+0.0392
+0.0397717
+0.0404417
+0.0409576
+0.0408899
+0.040923
+0.0410731
+0.0413389
+0.0417182
+0.0422079
+0.042796
+0.0434734
+0.044249
+0.0451178
+0.0460744
+0.0471135
+0.0482298
+0.049418
+0.0506731
+0.0516925
+0.0525655
+0.053504
+0.0545069
+0.0555591
+0.0566641
+0.057804
+0.0589507
+0.0601552
+0.0613702
+0.0626364
+0.0638958
+0.0839699
+0.0822689
+0.0805915
+0.0789393
+0.0773138
+0.0757169
+0.0741503
+0.072616
+0.0711161
+0.0696527
+0.0682284
+0.0668455
+0.0655067
+0.0642147
+0.0629725
+0.0616136
+0.0601746
+0.058782
+0.0574392
+0.0561498
+0.0549175
+0.0537463
+0.0526402
+0.0516035
+0.0506404
+0.0497552
+0.048952
+0.0482311
+0.0475846
+0.0470313
+0.0465746
+0.0462174
+0.0459619
+0.0458098
+0.0457622
+0.0458195
+0.0456819
+0.0453998
+0.0452223
+0.0451504
+0.0451848
+0.0443527
+0.0430143
+0.041748
+0.0405606
+0.0394592
+0.0384512
+0.0375243
+0.0366998
+0.03599
+0.0353267
+0.0346781
+0.0341499
+0.0337365
+0.0334618
+0.0333291
+0.0333401
+0.0334259
+0.0336401
+0.0339943
+0.0343983
+0.0349138
+0.0355571
+0.0360703
+0.0366844
+0.0373865
+0.0380741
+0.03849
+0.0388487
+0.0393193
+0.0398892
+0.0405345
+0.0407769
+0.0407089
+0.0407422
+0.0408929
+0.0411599
+0.0415408
+0.0420326
+0.0426231
+0.0433032
+0.0440818
+0.0449538
+0.0459138
+0.0469565
+0.0480764
+0.0492684
+0.0505271
+0.0518358
+0.0528129
+0.0537459
+0.0547444
+0.0557933
+0.0568936
+0.0580292
+0.0591715
+0.0603716
+0.0615972
+0.0628589
+0.0641705
+0.0831701
+0.0814549
+0.0797604
+0.0780906
+0.0764471
+0.0748317
+0.0732461
+0.0716925
+0.0701728
+0.0686894
+0.0672447
+0.0658411
+0.0644815
+0.0631685
+0.0619053
+0.0606949
+0.0592938
+0.05788
+0.0565158
+0.0552048
+0.0539509
+0.0527583
+0.0516311
+0.0505737
+0.0495906
+0.0486862
+0.0478652
+0.0471259
+0.046464
+0.0458972
+0.0454292
+0.0450628
+0.0448007
+0.0446447
+0.0445959
+0.0446546
+0.0444713
+0.0441815
+0.043999
+0.0439252
+0.0439605
+0.0439622
+0.0426648
+0.0414426
+0.040267
+0.0391573
+0.0381413
+0.0372266
+0.0364005
+0.0356847
+0.0350912
+0.0345229
+0.0340005
+0.0336046
+0.0333288
+0.0331955
+0.0331932
+0.0332649
+0.03348
+0.0337482
+0.0341332
+0.0346527
+0.0352155
+0.0357137
+0.0363339
+0.0370427
+0.0377572
+0.0385183
+0.039092
+0.0395597
+0.0401249
+0.0407449
+0.0407134
+0.0406453
+0.0406786
+0.0408296
+0.041097
+0.0414785
+0.041971
+0.0425624
+0.0432435
+0.0440231
+0.0448962
+0.0458575
+0.0469014
+0.0480226
+0.0492159
+0.0504634
+0.0517719
+0.0531385
+0.0540756
+0.0550681
+0.056112
+0.0572062
+0.0583277
+0.0594722
+0.0606664
+0.061901
+0.0631566
+0.0644622
+0.0824146
+0.0806849
+0.078978
+0.0772947
+0.0756339
+0.0740007
+0.072397
+0.0708247
+0.069286
+0.0677832
+0.0663187
+0.0648951
+0.0635152
+0.0621819
+0.0608982
+0.0596674
+0.0584778
+0.0570437
+0.0556589
+0.0543272
+0.0530525
+0.0518391
+0.0506914
+0.0496138
+0.0486112
+0.0476882
+0.0468496
+0.0460977
+0.0454211
+0.0448412
+0.044362
+0.0439867
+0.0437182
+0.0435583
+0.0435082
+0.0435684
+0.0433377
+0.0430403
+0.042853
+0.0427771
+0.0428134
+0.0429615
+0.042358
+0.041132
+0.0399813
+0.0389112
+0.0379375
+0.0370362
+0.0362263
+0.0355121
+0.0349157
+0.0344486
+0.0339837
+0.033596
+0.0333394
+0.0332062
+0.0331554
+0.0331918
+0.0333241
+0.0335989
+0.0340075
+0.0345288
+0.0349877
+0.0354891
+0.0361131
+0.0368261
+0.0375657
+0.038319
+0.0391681
+0.0398434
+0.0403476
+0.0409468
+0.0407677
+0.0406997
+0.040733
+0.0408838
+0.0411508
+0.0415318
+0.0420237
+0.0426143
+0.0432946
+0.0440734
+0.0449455
+0.0459057
+0.0469485
+0.0480662
+0.0492437
+0.0504888
+0.0517967
+0.0531627
+0.0544914
+0.0554765
+0.0565139
+0.0576005
+0.058706
+0.0598516
+0.0610385
+0.062279
+0.0635286
+0.0648267
+0.0817107
+0.0799658
+0.0782433
+0.0765448
+0.0748718
+0.0732259
+0.0716048
+0.0700147
+0.0684578
+0.0669364
+0.065453
+0.0640102
+0.0626108
+0.0612578
+0.0599543
+0.0587037
+0.0575093
+0.0562663
+0.0548619
+0.0535103
+0.0522157
+0.0509824
+0.049815
+0.0487181
+0.0476966
+0.0467556
+0.0458999
+0.0451344
+0.0444616
+0.0438692
+0.0433792
+0.0429954
+0.0427206
+0.042557
+0.0425058
+0.0425674
+0.0422873
+0.0419824
+0.0417904
+0.0417126
+0.0417498
+0.0419017
+0.0421504
+0.0409182
+0.0397646
+0.0386885
+0.0377091
+0.0368341
+0.0360605
+0.0353902
+0.0348451
+0.0344096
+0.0340766
+0.0337216
+0.0334745
+0.0332614
+0.0331606
+0.0331794
+0.0333116
+0.0335866
+0.0340007
+0.0344998
+0.0348961
+0.0353988
+0.0360244
+0.0367392
+0.0374934
+0.0382355
+0.0390863
+0.0399958
+0.0404981
+0.0410984
+0.0409394
+0.0408717
+0.0409048
+0.0410549
+0.0413209
+0.0417003
+0.0421903
+0.0427772
+0.0434549
+0.0442308
+0.0450999
+0.0460569
+0.0470908
+0.0481926
+0.0493671
+0.0506091
+0.051914
+0.053277
+0.0546938
+0.0559677
+0.0569972
+0.0580727
+0.0591631
+0.0603083
+0.0614863
+0.0627179
+0.0639734
+0.0652627
+0.08106
+0.0793008
+0.0775635
+0.0758497
+0.0741611
+0.0724993
+0.0708662
+0.069264
+0.0676905
+0.0661514
+0.06465
+0.0631888
+0.0617708
+0.060399
+0.0590766
+0.057807
+0.0565937
+0.0554311
+0.0541419
+0.0527719
+0.0514587
+0.0502068
+0.0490208
+0.0479058
+0.0468666
+0.0459086
+0.0450368
+0.0442564
+0.043572
+0.0429681
+0.0424678
+0.0420757
+0.0417948
+0.0416275
+0.0415752
+0.0416382
+0.0413264
+0.0410144
+0.0408178
+0.0407382
+0.0407763
+0.0409317
+0.0412033
+0.0407957
+0.03965
+0.0385857
+0.0376036
+0.0367261
+0.0359608
+0.0352929
+0.0347407
+0.034244
+0.033882
+0.0336556
+0.0335469
+0.033393
+0.0332926
+0.0333113
+0.033443
+0.0337168
+0.0341294
+0.0345192
+0.0349314
+0.035444
+0.0360688
+0.0367827
+0.0375361
+0.0382773
+0.0391273
+0.0400492
+0.0406902
+0.0412329
+0.0412269
+0.0411513
+0.0411842
+0.0413334
+0.0415975
+0.0419745
+0.0424595
+0.0430308
+0.0437046
+0.0444762
+0.0453406
+0.0462926
+0.0473214
+0.0484179
+0.049587
+0.0508237
+0.0521232
+0.0534808
+0.0548924
+0.0563537
+0.0575441
+0.05861
+0.0596971
+0.0608373
+0.0620084
+0.0632298
+0.0644774
+0.0657562
+0.0804633
+0.0786911
+0.0769401
+0.0752121
+0.0735088
+0.0718319
+0.0701834
+0.0685651
+0.0669795
+0.0654288
+0.063912
+0.0624336
+0.060998
+0.0596084
+0.058268
+0.0569757
+0.0557338
+0.0545516
+0.0534331
+0.0521151
+0.0507849
+0.049516
+0.0483131
+0.0471813
+0.0461259
+0.0451521
+0.0442654
+0.0434712
+0.0427741
+0.0421586
+0.0416485
+0.0412485
+0.040962
+0.0407914
+0.0407379
+0.0408022
+0.0404614
+0.0401427
+0.0399418
+0.0398604
+0.0398994
+0.0400582
+0.0403356
+0.0407088
+0.0395868
+0.0385273
+0.0375441
+0.0366651
+0.0358981
+0.0352259
+0.0346781
+0.0341869
+0.0338243
+0.0336003
+0.033492
+0.0334584
+0.0335104
+0.0335858
+0.0337165
+0.0339881
+0.0343857
+0.0346774
+0.0350876
+0.035622
+0.0362458
+0.0369563
+0.0377062
+0.0384441
+0.0392905
+0.0402086
+0.0408926
+0.0414326
+0.0414057
+0.0413673
+0.0414428
+0.0416133
+0.0418979
+0.0422941
+0.042799
+0.0433937
+0.0440619
+0.0448274
+0.0456851
+0.0466301
+0.0476516
+0.0487407
+0.0499022
+0.0511313
+0.0524232
+0.0537733
+0.0551773
+0.0566313
+0.0581315
+0.0592228
+0.060306
+0.0614349
+0.0626028
+0.063812
+0.0650492
+0.066317
+0.0799201
+0.0781356
+0.0763722
+0.0746314
+0.0729149
+0.0712245
+0.0695619
+0.0679293
+0.0663289
+0.0647627
+0.0632335
+0.0617442
+0.0602949
+0.0588884
+0.0575211
+0.0562059
+0.0549466
+0.0537471
+0.0526115
+0.0515431
+0.0501978
+0.0489137
+0.0476956
+0.0465488
+0.0454786
+0.0444907
+0.0435906
+0.0427838
+0.0420751
+0.0414491
+0.0409301
+0.0405231
+0.0402315
+0.0400576
+0.0400032
+0.0400687
+0.0396986
+0.0393737
+0.0391689
+0.0390859
+0.0391256
+0.0392876
+0.0395704
+0.0399507
+0.0396045
+0.038548
+0.0375897
+0.0367173
+0.0359514
+0.0352803
+0.0347334
+0.03427
+0.0339082
+0.0336848
+0.0335768
+0.033571
+0.0336372
+0.0338035
+0.0340607
+0.0343725
+0.0346562
+0.0349723
+0.0353791
+0.0359092
+0.0365435
+0.0372581
+0.0380021
+0.0387343
+0.0395745
+0.0404862
+0.0412105
+0.0417465
+0.0416084
+0.0415702
+0.0416453
+0.041815
+0.0420982
+0.0424926
+0.0429948
+0.0435894
+0.0442845
+0.0450755
+0.0459506
+0.0469101
+0.0479504
+0.0490666
+0.0502536
+0.0515064
+0.0528124
+0.0541528
+0.0555472
+0.0569918
+0.0584828
+0.0599094
+0.0609866
+0.0621041
+0.0632676
+0.0644586
+0.0656891
+0.0669448
+0.0794336
+0.0776379
+0.0758629
+0.0741102
+0.0723814
+0.0706782
+0.0690024
+0.0673563
+0.0657419
+0.0641618
+0.0626184
+0.0611145
+0.0596533
+0.0582264
+0.0568432
+0.0555119
+0.0542365
+0.0530209
+0.0518694
+0.0507864
+0.0497004
+0.048403
+0.0471718
+0.0460119
+0.044929
+0.0439287
+0.0430168
+0.0421991
+0.0414802
+0.0408449
+0.0403181
+0.0399049
+0.0396087
+0.0394321
+0.0393769
+0.0394434
+0.039044
+0.0387136
+0.0385052
+0.0384208
+0.0384612
+0.038626
+0.0389136
+0.0393002
+0.0397152
+0.0386618
+0.0377063
+0.0368564
+0.0361196
+0.0354701
+0.0349262
+0.0344922
+0.0341329
+0.033911
+0.0338036
+0.0338253
+0.033891
+0.0340977
+0.0343737
+0.0347391
+0.0350619
+0.0354005
+0.0358025
+0.0363264
+0.0369536
+0.037685
+0.0384207
+0.0391452
+0.0399767
+0.0408794
+0.0416415
+0.0420769
+0.0419248
+0.0418869
+0.0419614
+0.0421298
+0.0424109
+0.042793
+0.0432796
+0.0438704
+0.0445611
+0.0453472
+0.0462172
+0.0471712
+0.0482059
+0.0493163
+0.0504974
+0.0517443
+0.0530524
+0.0544173
+0.0558239
+0.0572746
+0.0587712
+0.0603102
+0.0617317
+0.0628425
+0.0639953
+0.0651724
+0.0663936
+0.0676377
+0.0790049
+0.0771992
+0.0754139
+0.0736505
+0.0719107
+0.070196
+0.0685085
+0.0668502
+0.0652233
+0.0636302
+0.0620736
+0.0605563
+0.0590812
+0.0576401
+0.0562424
+0.0548966
+0.0536066
+0.0523764
+0.0512104
+0.0501131
+0.0490891
+0.0479871
+0.0467449
+0.0455742
+0.0444806
+0.04347
+0.0425483
+0.0417213
+0.0409905
+0.0403507
+0.0398175
+0.039399
+0.0390989
+0.03892
+0.038864
+0.0389314
+0.0385021
+0.0381679
+0.0379566
+0.0378709
+0.0379119
+0.0380791
+0.0383708
+0.0387628
+0.0392709
+0.0388988
+0.0379493
+0.0371049
+0.0363731
+0.0357427
+0.035203
+0.0347931
+0.0344686
+0.0342759
+0.0341697
+0.034203
+0.0342833
+0.0344876
+0.0348138
+0.0351832
+0.035598
+0.0359574
+0.0363532
+0.0368693
+0.0374874
+0.0382213
+0.0389583
+0.0396729
+0.0404936
+0.0413282
+0.0419704
+0.0425028
+0.0423523
+0.0423123
+0.0423662
+0.042533
+0.0428115
+0.0431903
+0.0436726
+0.0442581
+0.0449428
+0.0457224
+0.0465854
+0.047532
+0.048559
+0.0496616
+0.0508346
+0.0520734
+0.0533735
+0.0547303
+0.0561291
+0.0575721
+0.0590612
+0.0605928
+0.062164
+0.0636423
+0.0647796
+0.0659494
+0.0671583
+0.0683939
+0.0786349
+0.0768205
+0.0750262
+0.0732535
+0.071504
+0.0697793
+0.0680815
+0.0664125
+0.0647746
+0.0631703
+0.061602
+0.0600728
+0.0585855
+0.0571319
+0.0557214
+0.0543627
+0.0530597
+0.0518165
+0.0506377
+0.0495277
+0.0484913
+0.0475334
+0.0464176
+0.0452384
+0.0441365
+0.0431142
+0.0421772
+0.0413352
+0.040594
+0.0399593
+0.0394323
+0.0390097
+0.0387066
+0.0385259
+0.0384693
+0.0384921
+0.0380554
+0.0377409
+0.037528
+0.0374414
+0.0374828
+0.0376519
+0.0379469
+0.0383433
+0.0388568
+0.0392568
+0.0383161
+0.0374801
+0.0367557
+0.0361449
+0.0356113
+0.0352061
+0.0349121
+0.0347224
+0.0346704
+0.0347034
+0.0348092
+0.0350104
+0.0352713
+0.0355086
+0.0358747
+0.0363693
+0.036927
+0.0375153
+0.0381397
+0.0388113
+0.0395758
+0.0402154
+0.0407159
+0.0412514
+0.0418948
+0.0426411
+0.0428751
+0.0428164
+0.0428696
+0.0430345
+0.0433097
+0.0436932
+0.0441708
+0.0447498
+0.0454271
+0.0461985
+0.0470528
+0.0479902
+0.0490076
+0.0501003
+0.0512633
+0.052492
+0.0537819
+0.0551275
+0.0565166
+0.057951
+0.0594305
+0.0609529
+0.062515
+0.0641139
+0.0656278
+0.0667827
+0.0679845
+0.0692111
+0.0783245
+0.0765027
+0.0747008
+0.0729202
+0.0711624
+0.0694293
+0.0677227
+0.0660447
+0.0643974
+0.0627834
+0.0612053
+0.0596658
+0.0581682
+0.0567037
+0.0552824
+0.0539126
+0.0525984
+0.0513441
+0.0501541
+0.0490332
+0.0479862
+0.047018
+0.0461336
+0.0449969
+0.0438817
+0.0428496
+0.0419066
+0.041059
+0.0403128
+0.0396736
+0.0391467
+0.0387265
+0.0384212
+0.0382391
+0.0381821
+0.0381711
+0.0377307
+0.0374135
+0.0372101
+0.0371228
+0.0371646
+0.0373351
+0.0376326
+0.0380399
+0.0385575
+0.0391908
+0.0388034
+0.0379781
+0.0372634
+0.0366659
+0.0361479
+0.0357489
+0.0354808
+0.0352989
+0.0352478
+0.0353084
+0.03545
+0.0355598
+0.0356832
+0.0359178
+0.0362797
+0.0367689
+0.0373802
+0.0379763
+0.0385445
+0.0391165
+0.0397389
+0.0403212
+0.0407558
+0.0412908
+0.0419336
+0.0426793
+0.0434831
+0.0434252
+0.0434778
+0.0436403
+0.0439118
+0.04429
+0.0447708
+0.0453421
+0.0460107
+0.0467725
+0.0476165
+0.048543
+0.0495491
+0.05063
+0.0517811
+0.0529979
+0.0542695
+0.0555932
+0.0569704
+0.0583974
+0.0598705
+0.0613864
+0.0629403
+0.0645287
+0.0661515
+0.0676766
+0.0688629
+0.0700845
+0.0779662
+0.0762084
+0.0744384
+0.0726514
+0.070887
+0.0691469
+0.0674332
+0.0657478
+0.0640929
+0.062471
+0.0608848
+0.059337
+0.0578309
+0.0563576
+0.0549273
+0.0535484
+0.0522251
+0.0509616
+0.0497625
+0.0486325
+0.0475767
+0.0465999
+0.0457074
+0.0448505
+0.0437315
+0.0426958
+0.0417494
+0.0408985
+0.0401493
+0.0395074
+0.0389783
+0.0385562
+0.0382496
+0.0380667
+0.0380095
+0.037974
+0.0375312
+0.0372124
+0.0370079
+0.0369201
+0.0369621
+0.0371336
+0.0374326
+0.0378421
+0.0383623
+0.0389989
+0.0394001
+0.0385876
+0.0378844
+0.0372969
+0.0368074
+0.0364155
+0.0361524
+0.0359998
+0.0359496
+0.0360328
+0.0361127
+0.0361016
+0.0362232
+0.0364542
+0.0368109
+0.0372931
+0.037896
+0.0383794
+0.0388304
+0.0393982
+0.0400162
+0.0404657
+0.0408952
+0.0414363
+0.0420787
+0.042821
+0.0436607
+0.0441345
+0.0441862
+0.0443462
+0.0446133
+0.0449857
+0.0454606
+0.0460312
+0.0466891
+0.0474323
+0.0482631
+0.0491774
+0.0501708
+0.0512386
+0.0523763
+0.0535767
+0.0548296
+0.0561401
+0.0575042
+0.0589182
+0.0603786
+0.0618821
+0.0634256
+0.0650063
+0.0666216
+0.0682689
+0.0697989
+0.0710044
+0.0775134
+0.0757452
+0.0739995
+0.0722781
+0.0705827
+0.0689152
+0.0672139
+0.0655228
+0.0638621
+0.0622342
+0.0606418
+0.0590877
+0.057575
+0.0560949
+0.0546577
+0.0532719
+0.0519415
+0.0506709
+0.0494648
+0.0483279
+0.0472652
+0.0462819
+0.0453831
+0.044574
+0.0436908
+0.0426541
+0.0417067
+0.040855
+0.0401049
+0.0394624
+0.0389327
+0.0385101
+0.0382031
+0.03802
+0.0379626
+0.0379027
+0.0374591
+0.0371396
+0.0369347
+0.0368467
+0.0368888
+0.0370606
+0.0373603
+0.0377705
+0.0382918
+0.0389294
+0.0396724
+0.0393046
+0.0386145
+0.0380382
+0.0375663
+0.0371994
+0.0369419
+0.0367966
+0.0367607
+0.0367551
+0.0367146
+0.0367661
+0.0368855
+0.0371125
+0.0374629
+0.0378498
+0.0382018
+0.0386748
+0.0392367
+0.0397987
+0.0404068
+0.0407192
+0.0411461
+0.0416839
+0.0423225
+0.0430606
+0.0438958
+0.0448225
+0.0449903
+0.0451475
+0.0454099
+0.0457757
+0.0462426
+0.046801
+0.0474408
+0.0481719
+0.04899
+0.0498911
+0.0508705
+0.0519239
+0.053047
+0.0542325
+0.0554706
+0.0567663
+0.0581157
+0.0595152
+0.0609613
+0.0624507
+0.0639805
+0.0655479
+0.0671501
+0.0687848
+0.0704497
+0.0719793
+0.0771203
+0.0753428
+0.0735876
+0.0718563
+0.0701507
+0.0684727
+0.0668244
+0.065208
+0.0636261
+0.0620739
+0.0604772
+0.0589188
+0.0574006
+0.0559144
+0.0544746
+0.0530844
+0.0517492
+0.0504738
+0.0492628
+0.0481211
+0.0470538
+0.046066
+0.0451629
+0.0443498
+0.0436315
+0.0427248
+0.0417791
+0.0409288
+0.0401802
+0.0395389
+0.0390102
+0.0385884
+0.038282
+0.0380993
+0.0380421
+0.0379579
+0.0375149
+0.037196
+0.0369914
+0.0369035
+0.0369456
+0.0371171
+0.0374163
+0.0378259
+0.0383464
+0.0389832
+0.0397251
+0.0401285
+0.0394528
+0.038889
+0.0384275
+0.0380767
+0.0378419
+0.0377001
+0.0375457
+0.0373779
+0.037338
+0.0374266
+0.0376404
+0.0377612
+0.0380081
+0.0382464
+0.0385944
+0.0390588
+0.039624
+0.040296
+0.0407785
+0.0410881
+0.0415112
+0.0420443
+0.0426776
+0.0434096
+0.0442382
+0.0451579
+0.0458797
+0.0460338
+0.0462911
+0.0466501
+0.0471083
+0.0476512
+0.0482798
+0.0489983
+0.0498029
+0.0506894
+0.0516537
+0.0526915
+0.0537986
+0.0549679
+0.0561898
+0.0574693
+0.0588025
+0.060186
+0.0616164
+0.0630904
+0.064605
+0.0661576
+0.0677454
+0.069366
+0.0710173
+0.0726971
+0.0767877
+0.0750023
+0.0732389
+0.0714992
+0.0697848
+0.0680978
+0.0664402
+0.0648143
+0.0632225
+0.0616674
+0.0601519
+0.058679
+0.0572521
+0.0558052
+0.0543624
+0.052971
+0.0516351
+0.050359
+0.0491476
+0.0480055
+0.046938
+0.0459487
+0.045043
+0.0442274
+0.043507
+0.0428864
+0.0419658
+0.0411195
+0.0403743
+0.0397361
+0.0392101
+0.0387906
+0.0384858
+0.038304
+0.0382471
+0.0381349
+0.037694
+0.0373766
+0.0371772
+0.0370898
+0.0371317
+0.0373023
+0.0376001
+0.0380077
+0.0385257
+0.0391596
+0.0398983
+0.0407241
+0.0403927
+0.0398422
+0.0393919
+0.0390498
+0.0388284
+0.0385696
+0.0382811
+0.0381165
+0.0380483
+0.0380621
+0.0381408
+0.03826
+0.0385037
+0.0387444
+0.0390835
+0.0395412
+0.0400996
+0.0407638
+0.0412633
+0.0415693
+0.0419875
+0.0425147
+0.043141
+0.0438654
+0.0446855
+0.0455962
+0.0465921
+0.0470001
+0.0472522
+0.0476039
+0.048053
+0.0485854
+0.049202
+0.0499072
+0.0506974
+0.0515686
+0.0525167
+0.0535378
+0.0546277
+0.0557796
+0.0569841
+0.0582462
+0.0595621
+0.0609283
+0.0623416
+0.0637989
+0.0652971
+0.0668336
+0.0684057
+0.0700111
+0.0716475
+0.0733128
+0.0765163
+0.0747245
+0.0729544
+0.0712077
+0.0694862
+0.0677917
+0.0661265
+0.0644926
+0.0628926
+0.0613292
+0.0598051
+0.0583235
+0.0568877
+0.0555012
+0.0541679
+0.0528917
+0.0516098
+0.0503331
+0.049121
+0.0479784
+0.0469102
+0.0459203
+0.0450141
+0.044198
+0.043477
+0.042856
+0.0422655
+0.0414252
+0.0406857
+0.0400524
+0.0395306
+0.0391145
+0.0388123
+0.0386321
+0.0385756
+0.0384161
+0.0379785
+0.0376634
+0.037474
+0.0374003
+0.0374418
+0.037611
+0.0379063
+0.0383012
+0.0388153
+0.0394445
+0.0401835
+0.0410102
+0.0414272
+0.0408906
+0.040452
+0.0401189
+0.0396835
+0.0393508
+0.0390145
+0.0387813
+0.038671
+0.0386846
+0.0387587
+0.038876
+0.0391158
+0.0393523
+0.0396867
+0.0401375
+0.0406878
+0.0413425
+0.0418573
+0.042159
+0.0425715
+0.0430914
+0.0437095
+0.0444246
+0.0452346
+0.0461344
+0.047119
+0.0480469
+0.0482935
+0.0486377
+0.0490774
+0.0495987
+0.0502029
+0.0508943
+0.0516694
+0.0525244
+0.0534556
+0.0544591
+0.0555309
+0.0566645
+0.0578506
+0.0590941
+0.0603915
+0.0617394
+0.0631346
+0.0645739
+0.0660546
+0.0675738
+0.0691291
+0.0707181
+0.0723385
+0.0739882
+0.0763069
+0.07451
+0.0727347
+0.0709827
+0.0692556
+0.0675553
+0.0658841
+0.0642441
+0.0626377
+0.0610677
+0.059537
+0.0580485
+0.0566057
+0.0552122
+0.0538717
+0.0525884
+0.0513664
+0.0502103
+0.0491248
+0.0480512
+0.0469847
+0.0459964
+0.0450917
+0.044277
+0.0435573
+0.0429375
+0.0424218
+0.0418436
+0.0411115
+0.040485
+0.0399688
+0.0395573
+0.0392585
+0.0390803
+0.0390245
+0.0388191
+0.0383861
+0.0380744
+0.037887
+0.0378141
+0.0378551
+0.0380225
+0.0383147
+0.0387054
+0.0392142
+0.0398371
+0.0405689
+0.0414038
+0.0423057
+0.0420272
+0.0413777
+0.0408254
+0.0403846
+0.0400589
+0.0397397
+0.0395108
+0.0394025
+0.0394159
+0.0394886
+0.0396038
+0.0398392
+0.0400704
+0.0403999
+0.0408428
+0.0413837
+0.0420276
+0.0425543
+0.0428527
+0.0432585
+0.0437704
+0.044379
+0.0450835
+0.0458818
+0.0467692
+0.0477407
+0.0487913
+0.0494061
+0.0497466
+0.0501765
+0.0506866
+0.0512779
+0.051955
+0.0527145
+0.0535529
+0.0544665
+0.0554517
+0.0565047
+0.0576191
+0.0587859
+0.0600101
+0.0612881
+0.0626167
+0.0639927
+0.0654132
+0.0668753
+0.0683763
+0.0699137
+0.0714853
+0.0730886
+0.0747219
+0.07616
+0.0743596
+0.0725806
+0.0708247
+0.0690936
+0.0673893
+0.0657139
+0.0640695
+0.0624587
+0.0608841
+0.0593486
+0.0578553
+0.0564075
+0.055009
+0.0536634
+0.052375
+0.0511479
+0.0499868
+0.0488963
+0.0478812
+0.0469465
+0.0460971
+0.0452753
+0.0444639
+0.0437474
+0.0431302
+0.0426169
+0.0422112
+0.0416484
+0.0410301
+0.0405132
+0.0401019
+0.0398072
+0.0396315
+0.0395765
+0.0393401
+0.0389129
+0.0386055
+0.0384207
+0.0383442
+0.0383847
+0.0385498
+0.038838
+0.0391482
+0.0394636
+0.0398969
+0.0404444
+0.0411016
+0.0418631
+0.0427236
+0.0421541
+0.0416122
+0.0411797
+0.0408604
+0.0405704
+0.0403462
+0.0402402
+0.0402533
+0.0403053
+0.0404182
+0.0406489
+0.0408759
+0.041202
+0.041641
+0.0421742
+0.0428061
+0.0433479
+0.0436455
+0.044044
+0.0445468
+0.045145
+0.0458376
+0.0466231
+0.0474966
+0.0484535
+0.049489
+0.0503634
+0.0508763
+0.0513457
+0.0518442
+0.0524225
+0.053085
+0.0538285
+0.0546498
+0.0555454
+0.0565118
+0.0575454
+0.05864
+0.0597869
+0.060991
+0.0622489
+0.0635574
+0.0649135
+0.0663143
+0.0677569
+0.0692388
+0.0707575
+0.0723107
+0.0738962
+0.0755119
+0.0760759
+0.0742735
+0.0724924
+0.0707343
+0.0690009
+0.0672943
+0.0656164
+0.0639695
+0.0623561
+0.0607788
+0.0592406
+0.0577445
+0.056294
+0.0548925
+0.053544
+0.0522526
+0.0510226
+0.0498586
+0.0487652
+0.0477474
+0.04681
+0.045958
+0.0451962
+0.0445168
+0.0439281
+0.0434328
+0.0429231
+0.0425203
+0.0422274
+0.0416778
+0.0411617
+0.040757
+0.0404671
+0.0402943
+0.0402402
+0.0399674
+0.0395469
+0.0392445
+0.0389755
+0.0387008
+0.0385488
+0.0385209
+0.0385971
+0.0387934
+0.0391117
+0.0395489
+0.0401011
+0.0407638
+0.0415316
+0.0423988
+0.0430282
+0.0424974
+0.042074
+0.0417615
+0.0415003
+0.0412811
+0.0411775
+0.0411903
+0.0412186
+0.0413289
+0.0415546
+0.0417767
+0.0420959
+0.0425256
+0.0430478
+0.0436671
+0.0442359
+0.044532
+0.0449226
+0.0454157
+0.0460026
+0.0466825
+0.047454
+0.0483125
+0.0492536
+0.0502726
+0.0513648
+0.0518898
+0.0524793
+0.0530671
+0.0536322
+0.0542799
+0.0550073
+0.0558113
+0.0566885
+0.0576357
+0.0586495
+0.0597239
+0.0608504
+0.0620338
+0.063271
+0.0645588
+0.0658943
+0.0672746
+0.0686971
+0.0701591
+0.0716583
+0.0731924
+0.0747592
+0.0763567
+0.0760549
+0.0742519
+0.0724703
+0.0707116
+0.0689777
+0.0672705
+0.065592
+0.0639445
+0.0623304
+0.0607525
+0.0592136
+0.0577168
+0.0562655
+0.0548633
+0.0535141
+0.052222
+0.0509912
+0.0498264
+0.0487324
+0.0477138
+0.0467758
+0.0459232
+0.0451608
+0.0444809
+0.0438917
+0.0434051
+0.0430248
+0.0427535
+0.0425932
+0.0424218
+0.0419149
+0.0415175
+0.0412329
+0.0410633
+0.040671
+0.0402822
+0.039655
+0.0391405
+0.0387433
+0.0384669
+0.0383139
+0.0382859
+0.0383625
+0.0385601
+0.0388802
+0.03932
+0.0398754
+0.0405418
+0.0413137
+0.0421854
+0.0431507
+0.043475
+0.0430613
+0.042756
+0.0425227
+0.0423088
+0.0422077
+0.0422076
+0.0422259
+0.0423336
+0.042554
+0.0427709
+0.0430826
+0.0435026
+0.0440133
+0.0446192
+0.0452127
+0.0455046
+0.0458891
+0.0463719
+0.0469468
+0.0476133
+0.0483699
+0.0492125
+0.0501366
+0.051138
+0.0522122
+0.0529746
+0.0535522
+0.0542122
+0.0548951
+0.0555281
+0.0562393
+0.0570259
+0.0578848
+0.0588127
+0.0598066
+0.060863
+0.0619731
+0.0631354
+0.0643514
+0.065618
+0.0669324
+0.0682918
+0.0696935
+0.071135
+0.0726141
+0.0741284
+0.0756758
+0.0772543
+0.0760969
+0.0742949
+0.0725144
+0.0707568
+0.0690241
+0.067318
+0.0656407
+0.0639945
+0.0623817
+0.0608051
+0.0592675
+0.0577722
+0.0563223
+0.0549216
+0.0535738
+0.0522831
+0.0510539
+0.0498906
+0.0487979
+0.0477808
+0.0468441
+0.0459927
+0.0452314
+0.0445527
+0.0439645
+0.0434788
+0.0430991
+0.0428283
+0.0426683
+0.0426205
+0.042323
+0.0415962
+0.0409736
+0.0404603
+0.0400604
+0.0397772
+0.0395354
+0.0390193
+0.0386208
+0.0383435
+0.0381901
+0.038162
+0.0382522
+0.0384503
+0.0387713
+0.0392123
+0.0397693
+0.0404374
+0.0412113
+0.042085
+0.0430527
+0.044108
+0.0441353
+0.0438375
+0.0436313
+0.0434229
+0.0433121
+0.0433028
+0.0433206
+0.0434256
+0.0436405
+0.043852
+0.0441561
+0.044566
+0.0450646
+0.0456565
+0.0462726
+0.0465579
+0.046938
+0.0474101
+0.0479726
+0.048625
+0.0493661
+0.0501919
+0.0510984
+0.0520813
+0.0531364
+0.0541264
+0.0546918
+0.0553382
+0.0560628
+0.0568301
+0.0575252
+0.0582945
+0.0591349
+0.0600435
+0.0610173
+0.0620532
+0.0631481
+0.0642929
+0.0654874
+0.0667324
+0.0680253
+0.0693632
+0.0707437
+0.0721643
+0.0736227
+0.0751166
+0.0766441
+0.0782031
+0.0762019
+0.0744025
+0.0726246
+0.0708698
+0.0691398
+0.0674367
+0.0657624
+0.0641193
+0.0625098
+0.0609365
+0.0594023
+0.0579104
+0.0564641
+0.055067
+0.0537229
+0.0524359
+0.0512103
+0.050049
+0.0489566
+0.0479395
+0.0470026
+0.0461507
+0.0453886
+0.044721
+0.0441392
+0.0436554
+0.0432773
+0.0430075
+0.0428482
+0.0426865
+0.0418514
+0.0411162
+0.0404863
+0.0399667
+0.0395618
+0.039275
+0.0391091
+0.0390102
+0.0386116
+0.0383342
+0.0381808
+0.0381527
+0.0382445
+0.0384426
+0.0387637
+0.0392048
+0.0397619
+0.0404301
+0.0412041
+0.042078
+0.0430458
+0.0441013
+0.0452383
+0.0449997
+0.0448148
+0.0446048
+0.044488
+0.044479
+0.0444963
+0.0445986
+0.0448078
+0.0450139
+0.0453102
+0.0457097
+0.046196
+0.0467736
+0.0474101
+0.0476886
+0.0480639
+0.0485251
+0.0490748
+0.0497127
+0.0504378
+0.0512464
+0.0521346
+0.0530983
+0.0541335
+0.0551721
+0.0558941
+0.0565267
+0.0572362
+0.0580199
+0.0588646
+0.0596165
+0.0604386
+0.0613279
+0.0622816
+0.0632968
+0.0643706
+0.0655
+0.0666759
+0.0678992
+0.0691702
+0.0704865
+0.0718454
+0.0732446
+0.0746819
+0.0761551
+0.0776621
+0.0792011
+0.0763697
+0.0745743
+0.0728005
+0.0710501
+0.0693246
+0.0676262
+0.0659567
+0.0643185
+0.0627141
+0.0611461
+0.0596173
+0.05813
+0.0566866
+0.0552922
+0.0539507
+0.0526663
+0.0514431
+0.0502856
+0.0491984
+0.0481864
+0.0472544
+0.0464071
+0.0456493
+0.0449856
+0.0444072
+0.0439264
+0.0435506
+0.0432826
+0.0431243
+0.0423325
+0.0414903
+0.0407485
+0.0401129
+0.0395884
+0.0391795
+0.0388899
+0.0387223
+0.0386751
+0.0387265
+0.03845
+0.0382969
+0.0382689
+0.0383605
+0.038558
+0.0388782
+0.039318
+0.0398735
+0.0405398
+0.0413118
+0.0421835
+0.0431489
+0.0442019
+0.0453364
+0.046226
+0.0460404
+0.0458523
+0.0457387
+0.0457299
+0.0457468
+0.0458462
+0.0460498
+0.0462503
+0.0465388
+0.0469278
+0.0474016
+0.0479647
+0.0486103
+0.048882
+0.0492497
+0.0497108
+0.0502483
+0.0508716
+0.0515804
+0.0523713
+0.0532407
+0.0541848
+0.0551997
+0.0562185
+0.0570625
+0.0577739
+0.0584683
+0.0592356
+0.0600731
+0.0609778
+0.0617924
+0.0626625
+0.0635962
+0.0645908
+0.0656434
+0.0667513
+0.0679118
+0.0691158
+0.0703648
+0.0716591
+0.0729962
+0.0743738
+0.0757896
+0.0772417
+0.0787279
+0.0802464
+0.0765952
+0.0748054
+0.0730374
+0.071293
+0.0695738
+0.0678817
+0.0662189
+0.0645863
+0.0629862
+0.0614225
+0.0598981
+0.0584162
+0.0569799
+0.0555928
+0.0542588
+0.0529818
+0.0517661
+0.0506159
+0.0495361
+0.0485311
+0.0476058
+0.0467649
+0.046013
+0.0453546
+0.044781
+0.0443043
+0.0439317
+0.043666
+0.0430318
+0.0420896
+0.0412425
+0.0404962
+0.0398565
+0.0393286
+0.038917
+0.0386254
+0.0384567
+0.0384092
+0.0384655
+0.0386461
+0.0385375
+0.0385097
+0.0386007
+0.038797
+0.0391152
+0.0395523
+0.0401046
+0.0407672
+0.0415349
+0.042402
+0.0433626
+0.0444105
+0.0455398
+0.0467445
+0.0473319
+0.0471686
+0.0470582
+0.0470497
+0.0470661
+0.0471627
+0.0473606
+0.0475543
+0.0478349
+0.0482135
+0.0486704
+0.049219
+0.0498579
+0.0501374
+0.0504959
+0.0509463
+0.051486
+0.0520968
+0.0527892
+0.0535623
+0.0542359
+0.0549322
+0.0556066
+0.056325
+0.0571185
+0.057984
+0.0589182
+0.0599179
+0.0609514
+0.0620381
+0.0631629
+0.0640443
+0.0649582
+0.0659322
+0.0669637
+0.0680501
+0.0691888
+0.0703774
+0.0716065
+0.0728787
+0.0741938
+0.0755496
+0.0769438
+0.0783745
+0.0797941
+0.0803241
+0.0768749
+0.0750918
+0.0733308
+0.0715935
+0.0698816
+0.0681972
+0.0665423
+0.0649179
+0.0633261
+0.061771
+0.0602555
+0.0587825
+0.0573554
+0.0559777
+0.054653
+0.0533855
+0.0521791
+0.0510383
+0.0499676
+0.0489715
+0.0480546
+0.0472217
+0.0464772
+0.0458255
+0.0452579
+0.0447862
+0.0444177
+0.0439389
+0.0429049
+0.0419599
+0.04111
+0.0403613
+0.0397195
+0.0391897
+0.0387766
+0.038484
+0.0383147
+0.038267
+0.0383235
+0.0385048
+0.0388091
+0.0388726
+0.0389627
+0.0391572
+0.0394725
+0.0399057
+0.0404531
+0.0411101
+0.0418716
+0.0427319
+0.0436852
+0.0447255
+0.045847
+0.0470439
+0.0483058
+0.0485481
+0.0484409
+0.0484326
+0.0484485
+0.0485424
+0.0487313
+0.0489072
+0.04918
+0.0495484
+0.0497059
+0.0498165
+0.0500162
+0.0502988
+0.0506745
+0.0511415
+0.0516971
+0.0523322
+0.0529434
+0.0534891
+0.0541181
+0.0548159
+0.0555861
+0.0564095
+0.0572018
+0.058066
+0.0589989
+0.0599973
+0.0610581
+0.0621779
+0.0633517
+0.0645755
+0.0658437
+0.0671278
+0.0683287
+0.0693938
+0.0705108
+0.0716774
+0.0728912
+0.074143
+0.0754361
+0.0767699
+0.0781424
+0.0792992
+0.0797723
+0.0803025
+0.0772159
+0.0754408
+0.0736881
+0.0719594
+0.0702565
+0.0685813
+0.0669359
+0.0653212
+0.0637395
+0.0621948
+0.0606898
+0.0592277
+0.0578115
+0.0564449
+0.0551315
+0.0538752
+0.0526801
+0.0515504
+0.0504905
+0.0495049
+0.0485982
+0.0477747
+0.047039
+0.0463951
+0.0458346
+0.0453689
+0.0450051
+0.043924
+0.0428897
+0.0419443
+0.0410942
+0.0403451
+0.039703
+0.039173
+0.0387598
+0.0384671
+0.0382976
+0.0382499
+0.0383065
+0.0384879
+0.0387923
+0.0392169
+0.0394433
+0.0396354
+0.0399469
+0.0403751
+0.0409162
+0.0415659
+0.0423191
+0.0431705
+0.0441143
+0.0451448
+0.0462562
+0.0474427
+0.0486943
+0.0499856
+0.0498815
+0.0498734
+0.0498886
+0.0499798
+0.0501481
+0.0499208
+0.0497423
+0.0496599
+0.049674
+0.0497847
+0.0499846
+0.0502673
+0.0506433
+0.0511105
+0.0516665
+0.0522843
+0.0529135
+0.0534596
+0.0540889
+0.0547871
+0.0555576
+0.0564027
+0.0573192
+0.0582303
+0.0591607
+0.0601564
+0.0612144
+0.0623314
+0.0635024
+0.0647233
+0.0659945
+0.0673129
+0.0686759
+0.0700809
+0.0715228
+0.0729702
+0.0742119
+0.0754486
+0.0767208
+0.0780327
+0.0789228
+0.0793377
+0.0798107
+0.0803406
+0.0776171
+0.0758515
+0.0741085
+0.0723898
+0.0706973
+0.0690328
+0.0673984
+0.0657951
+0.0642251
+0.0626923
+0.0611995
+0.0597499
+0.0583464
+0.0569926
+0.0556922
+0.0544488
+0.0532665
+0.0521495
+0.0511021
+0.0501285
+0.0492332
+0.0484206
+0.0476948
+0.0470599
+0.0465074
+0.0460485
+0.0451043
+0.0440052
+0.0429802
+0.0420369
+0.0411887
+0.0404414
+0.0398008
+0.0392721
+0.03886
+0.038568
+0.038399
+0.0383545
+0.0384146
+0.0385954
+0.038899
+0.0393225
+0.0398621
+0.0402274
+0.0405344
+0.0409564
+0.0414899
+0.0421308
+0.0428741
+0.0437146
+0.044647
+0.0456654
+0.0467644
+0.0479384
+0.0491774
+0.0504686
+0.0513751
+0.0513673
+0.0509012
+0.0504967
+0.0501847
+0.0499668
+0.0498019
+0.0497196
+0.0497338
+0.0498443
+0.0500439
+0.0503263
+0.0507019
+0.0511686
+0.0517239
+0.0523281
+0.0529581
+0.0535197
+0.0541483
+0.0548458
+0.0556155
+0.0564597
+0.0573753
+0.0583587
+0.0594028
+0.0603946
+0.0614485
+0.0625614
+0.0637281
+0.0649448
+0.0662117
+0.0675258
+0.0688846
+0.0702854
+0.0717258
+0.0732034
+0.074716
+0.0762616
+0.0778381
+0.0786195
+0.0789753
+0.0793899
+0.0798626
+0.0803921
+0.0780778
+0.0763228
+0.0745909
+0.0728836
+0.0712028
+0.0695504
+0.0679284
+0.0663379
+0.0647811
+0.0632618
+0.0617828
+0.0603471
+0.0589579
+0.0576185
+0.0563325
+0.0551035
+0.0539356
+0.0528328
+0.0517991
+0.0508389
+0.0499564
+0.0491557
+0.048441
+0.047816
+0.0472723
+0.046454
+0.0452817
+0.0441869
+0.0431663
+0.0422272
+0.0413828
+0.0406391
+0.0400017
+0.0394758
+0.0390657
+0.0387753
+0.0386072
+0.038563
+0.0386368
+0.0388166
+0.0391185
+0.0395396
+0.0400762
+0.0407238
+0.04123
+0.041645
+0.0421698
+0.0428005
+0.0435323
+0.0443604
+0.0452795
+0.046284
+0.0473686
+0.048528
+0.0497523
+0.0510289
+0.0519187
+0.0513416
+0.0508463
+0.0504414
+0.050129
+0.0499109
+0.0497883
+0.049762
+0.0498321
+0.0499863
+0.0501854
+0.050467
+0.0508415
+0.0513069
+0.0518608
+0.0524634
+0.0530918
+0.0536693
+0.0542962
+0.0549917
+0.0557594
+0.0566015
+0.0575148
+0.0584959
+0.0595415
+0.0606482
+0.0617594
+0.0628668
+0.064028
+0.0652391
+0.0665003
+0.0678089
+0.0691622
+0.0705575
+0.0719924
+0.0734646
+0.074972
+0.0765124
+0.0780839
+0.0787214
+0.0790767
+0.0794909
+0.0799629
+0.0804918
+0.0785969
+0.0768538
+0.075134
+0.0734394
+0.0717716
+0.0701326
+0.0685244
+0.0669481
+0.0654058
+0.0639013
+0.0624375
+0.0610172
+0.0596436
+0.05832
+0.0570498
+0.0558366
+0.0546844
+0.0535969
+0.0525783
+0.0516326
+0.0507639
+0.0499761
+0.0492733
+0.048659
+0.0479662
+0.0467291
+0.0455639
+0.044476
+0.0434622
+0.0425296
+0.0416914
+0.0409533
+0.0403208
+0.0397991
+0.0393924
+0.0391044
+0.0389377
+0.0388939
+0.0389671
+0.0391454
+0.0394447
+0.0398624
+0.0403948
+0.0410373
+0.0417849
+0.0424356
+0.0429507
+0.0435701
+0.0442893
+0.0451035
+0.0460076
+0.0469966
+0.0480652
+0.0492081
+0.0504159
+0.0516762
+0.0519004
+0.0513743
+0.0508793
+0.0504747
+0.0501625
+0.0499445
+0.049822
+0.0497957
+0.0498657
+0.0500316
+0.0502925
+0.0506469
+0.0510748
+0.0515381
+0.0520895
+0.0526895
+0.0532725
+0.0538667
+0.0544999
+0.0551888
+0.0559551
+0.0567955
+0.0577069
+0.0586854
+0.0597277
+0.060831
+0.0619921
+0.0631851
+0.0643952
+0.0656052
+0.0668596
+0.0681613
+0.0695077
+0.0708962
+0.0723244
+0.07379
+0.0752908
+0.0768248
+0.07839
+0.078884
+0.0792386
+0.0796519
+0.080123
+0.0806509
+0.0791733
+0.0774431
+0.0757367
+0.0740559
+0.0724023
+0.0707779
+0.0691847
+0.0676238
+0.0660972
+0.0646089
+0.0631614
+0.0617578
+0.0604011
+0.0590944
+0.0578412
+0.056645
+0.0555095
+0.0544386
+0.053436
+0.0525057
+0.0516517
+0.0508777
+0.0501874
+0.0495845
+0.048332
+0.0471046
+0.0459488
+0.0448703
+0.0438656
+0.0429418
+0.0421118
+0.0413812
+0.0407554
+0.0402392
+0.0398371
+0.0395523
+0.0393875
+0.0393442
+0.0394165
+0.0395928
+0.0398888
+0.0403019
+0.0408285
+0.0414643
+0.0422044
+0.0430433
+0.0438274
+0.0444345
+0.0451399
+0.045939
+0.0468271
+0.0477991
+0.0488501
+0.0499751
+0.0511648
+0.0523736
+0.0517747
+0.0512624
+0.0508394
+0.0505077
+0.0502519
+0.0500741
+0.0499519
+0.0499256
+0.0499955
+0.0501609
+0.0504212
+0.0507746
+0.0512195
+0.0517019
+0.0522693
+0.0528853
+0.053394
+0.0539868
+0.0546356
+0.0553228
+0.0560872
+0.0569257
+0.0578351
+0.0588115
+0.0598515
+0.0609526
+0.0621114
+0.0633249
+0.0645899
+0.0659034
+0.0672413
+0.0685819
+0.0699201
+0.0713006
+0.0727209
+0.0741787
+0.0756718
+0.0771982
+0.078756
+0.0790973
+0.0794422
+0.0798312
+0.0802694
+0.0807618
+0.0798056
+0.0780894
+0.0763975
+0.0747315
+0.0730932
+0.0714845
+0.0699074
+0.068363
+0.0668533
+0.0653822
+0.0639523
+0.0625664
+0.0612275
+0.0599389
+0.0587037
+0.0575255
+0.0564077
+0.0553541
+0.0543684
+0.0534544
+0.0526158
+0.0518562
+0.0511791
+0.0500755
+0.0487935
+0.047578
+0.0464341
+0.0453671
+0.0443737
+0.0434606
+0.0426407
+0.0419193
+0.0413017
+0.0407925
+0.0403958
+0.040115
+0.0399525
+0.0399098
+0.0399811
+0.0401549
+0.0404468
+0.0408543
+0.0413738
+0.0420014
+0.0427321
+0.0435609
+0.0444823
+0.0453883
+0.0460791
+0.0468622
+0.0477331
+0.048687
+0.0497193
+0.050825
+0.0519953
+0.0523408
+0.0517414
+0.0512288
+0.0508056
+0.0504737
+0.0502177
+0.0500557
+0.0499892
+0.0500187
+0.0501439
+0.0503413
+0.0506026
+0.0509548
+0.0513981
+0.0519195
+0.0524846
+0.0530981
+0.0536047
+0.0541952
+0.0548585
+0.055543
+0.0563044
+0.0571397
+0.0580457
+0.0590186
+0.0600551
+0.0611525
+0.0623076
+0.0635173
+0.0647785
+0.0660883
+0.0674438
+0.0688424
+0.0702757
+0.0717269
+0.0731808
+0.0746296
+0.0761139
+0.0776317
+0.0789318
+0.0792022
+0.079532
+0.0799205
+0.0803635
+0.0808554
+0.0804925
+0.0787913
+0.0771148
+0.0754647
+0.0738426
+0.0722506
+0.0706907
+0.0691637
+0.0676719
+0.066219
+0.0648075
+0.0634403
+0.0621203
+0.0608506
+0.0596343
+0.0584748
+0.0573755
+0.0563401
+0.0553719
+0.0544747
+0.053652
+0.0529073
+0.0519453
+0.050616
+0.0493481
+0.0481466
+0.0470165
+0.045963
+0.0449827
+0.0440823
+0.0432742
+0.0425635
+0.0419554
+0.0414542
+0.0410639
+0.0407877
+0.040628
+0.040586
+0.0406561
+0.040827
+0.0411141
+0.041515
+0.0420264
+0.0426444
+0.0433643
+0.0441812
+0.0450899
+0.0460848
+0.0471015
+0.0478667
+0.0487166
+0.0496483
+0.0506577
+0.0517402
+0.0528914
+0.0523996
+0.051801
+0.0512889
+0.0508662
+0.0505347
+0.050279
+0.0501172
+0.0500508
+0.0500802
+0.0502053
+0.0504025
+0.0506634
+0.0510152
+0.051458
+0.0519893
+0.0525887
+0.0532599
+0.0538562
+0.0544911
+0.0551591
+0.0558482
+0.0566056
+0.0574365
+0.0583379
+0.059306
+0.0603375
+0.0614299
+0.0625799
+0.0637844
+0.0650405
+0.0663451
+0.0676954
+0.0690889
+0.0705229
+0.0719894
+0.0734848
+0.0750144
+0.0765762
+0.0781241
+0.0790765
+0.0793464
+0.0796756
+0.0800634
+0.0805033
+0.0809943
+0.0812328
+0.0795474
+0.0778872
+0.0762538
+0.0746489
+0.0730744
+0.0715324
+0.0700239
+0.0685508
+0.0671169
+0.0657247
+0.064377
+0.0630766
+0.0618265
+0.0606298
+0.0594897
+0.0584095
+0.0573927
+0.0564426
+0.0555627
+0.0547564
+0.0539285
+0.052558
+0.0512445
+0.0499926
+0.0488069
+0.0476925
+0.0466543
+0.0456889
+0.0448026
+0.0440077
+0.0433091
+0.0427116
+0.0422194
+0.0418362
+0.0415652
+0.0414084
+0.0413672
+0.041436
+0.0416037
+0.0418855
+0.0422791
+0.0427814
+0.0433886
+0.0440963
+0.0448999
+0.0457943
+0.0467743
+0.0478346
+0.0489312
+0.0497626
+0.0506751
+0.0516644
+0.0527263
+0.0532303
+0.0525498
+0.0519528
+0.0514423
+0.0510208
+0.0506904
+0.0504355
+0.0502742
+0.050208
+0.0502373
+0.050362
+0.0505586
+0.0508187
+0.0511695
+0.0516109
+0.0521407
+0.0527383
+0.0534076
+0.0540538
+0.0546904
+0.0554063
+0.0561986
+0.0569894
+0.0578148
+0.0587104
+0.0596725
+0.0606978
+0.0617837
+0.0629273
+0.0641253
+0.0653748
+0.0666729
+0.0680167
+0.0694038
+0.0708314
+0.0722972
+0.0737935
+0.0753168
+0.0768724
+0.0784583
+0.0792815
+0.0795448
+0.0798617
+0.0802371
+0.0806702
+0.0811602
+0.0820249
+0.0803562
+0.078713
+0.0770971
+0.0755101
+0.073954
+0.0724307
+0.0709412
+0.0694876
+0.0680734
+0.0667012
+0.0653736
+0.0640935
+0.0628636
+0.061687
+0.0605668
+0.0595062
+0.0585085
+0.0575768
+0.0567145
+0.0559248
+0.0546068
+0.0532538
+0.0519579
+0.0507236
+0.0495554
+0.0484582
+0.0474333
+0.0464771
+0.0456061
+0.0448254
+0.0441397
+0.0435535
+0.0430709
+0.0426953
+0.0424297
+0.0422761
+0.0422357
+0.0423037
+0.0424681
+0.0427442
+0.0431299
+0.0436224
+0.044218
+0.0449127
+0.045702
+0.046581
+0.0475447
+0.0485882
+0.0497064
+0.0508815
+0.0517743
+0.052743
+0.0537836
+0.0534679
+0.0527905
+0.0521963
+0.0516882
+0.0512687
+0.0509399
+0.0506863
+0.0505257
+0.0504599
+0.050489
+0.0506131
+0.0508087
+0.0510676
+0.0514166
+0.051856
+0.0523833
+0.0529782
+0.0536445
+0.0543391
+0.0549724
+0.0556847
+0.056473
+0.0573343
+0.0582653
+0.0591618
+0.0601166
+0.0611344
+0.0622128
+0.0633486
+0.0645388
+0.0657804
+0.0670706
+0.0684067
+0.069786
+0.0712059
+0.0726642
+0.0741585
+0.0756813
+0.0772295
+0.0788082
+0.0795085
+0.0797653
+0.0800813
+0.0804556
+0.0808876
+0.0813763
+0.0828674
+0.0812159
+0.0795905
+0.0779928
+0.0764244
+0.0748873
+0.0733834
+0.0719137
+0.0704801
+0.0690862
+0.0677346
+0.0664276
+0.0651682
+0.063959
+0.0628029
+0.061703
+0.0606622
+0.0596838
+0.0587708
+0.0579263
+0.0567486
+0.0553636
+0.0540295
+0.0527527
+0.0515374
+0.0503881
+0.0493021
+0.0482836
+0.0473445
+0.0464898
+0.0457242
+0.0450522
+0.044478
+0.0440055
+0.043638
+0.0433782
+0.0432279
+0.0431884
+0.0432576
+0.0434183
+0.0436884
+0.0440659
+0.044548
+0.0451314
+0.0458123
+0.0465863
+0.0474489
+0.0483954
+0.0494209
+0.0505207
+0.0516899
+0.0529241
+0.053889
+0.0545468
+0.0537938
+0.0531206
+0.0525301
+0.0520252
+0.0516085
+0.0512818
+0.0510299
+0.0508705
+0.050805
+0.050834
+0.0509573
+0.0511516
+0.0514087
+0.0517555
+0.0521919
+0.0527159
+0.0533071
+0.0539693
+0.0547107
+0.0553397
+0.0560474
+0.0568307
+0.0576866
+0.058612
+0.0596035
+0.0606366
+0.0616459
+0.0627155
+0.0638423
+0.0650235
+0.0662561
+0.0675372
+0.0688642
+0.0702345
+0.0716455
+0.073095
+0.0745807
+0.0760971
+0.077637
+0.0792076
+0.0797862
+0.0800421
+0.080357
+0.0807301
+0.0811606
+0.0816476
+0.0837587
+0.0821252
+0.0805181
+0.0789391
+0.07739
+0.0758724
+0.0743884
+0.072939
+0.0715259
+0.0701529
+0.0688221
+0.0675363
+0.0662979
+0.0651096
+0.0639744
+0.0628949
+0.0618743
+0.0609153
+0.060021
+0.0589741
+0.0575606
+0.0561956
+0.0548817
+0.0536252
+0.0524302
+0.0512901
+0.0502164
+0.0492167
+0.0482958
+0.0474583
+0.0467085
+0.0460508
+0.0454893
+0.0450274
+0.0446683
+0.0444145
+0.0442678
+0.0442292
+0.044299
+0.0444563
+0.0447201
+0.0450889
+0.0455602
+0.0461309
+0.0467972
+0.0475552
+0.0484005
+0.0493288
+0.0503353
+0.0514155
+0.0525648
+0.0537789
+0.0550534
+0.0549537
+0.0542064
+0.0535383
+0.0529525
+0.0524517
+0.0520384
+0.0517144
+0.0514646
+0.0513065
+0.0512416
+0.0512704
+0.0513926
+0.0515852
+0.0518402
+0.0521841
+0.052617
+0.0531368
+0.0537234
+0.0543805
+0.0550677
+0.0556763
+0.0563632
+0.057126
+0.0579616
+0.0588669
+0.0598387
+0.0608739
+0.0619666
+0.0631078
+0.0643035
+0.0655506
+0.0668002
+0.0680711
+0.0693879
+0.070748
+0.072149
+0.0735886
+0.0750645
+0.0765731
+0.0781037
+0.0796651
+0.0801229
+0.0803777
+0.0806913
+0.0810628
+0.0814916
+0.0819767
+0.0846973
+0.0830822
+0.0814941
+0.0799344
+0.0784049
+0.0769073
+0.0754437
+0.0740149
+0.0726228
+0.0712709
+0.0699614
+0.0686969
+0.0674798
+0.0663127
+0.0651984
+0.0641396
+0.063139
+0.0621996
+0.0612645
+0.0598249
+0.0584319
+0.0570891
+0.0558
+0.0545684
+0.053384
+0.0522614
+0.051208
+0.0502281
+0.0493261
+0.0485064
+0.0477731
+0.0471303
+0.0465817
+0.0461308
+0.0457803
+0.0455327
+0.0453896
+0.045352
+0.0454201
+0.045576
+0.0458334
+0.0461933
+0.0466535
+0.0472109
+0.0478622
+0.0486035
+0.049431
+0.0503402
+0.0513269
+0.0523866
+0.0535151
+0.0547081
+0.0559614
+0.0554105
+0.0547036
+0.0540417
+0.0534614
+0.0529654
+0.0525561
+0.0522354
+0.0519881
+0.0518316
+0.0517673
+0.0517958
+0.0519168
+0.0521075
+0.0523599
+0.0527004
+0.0531291
+0.0536439
+0.054225
+0.0548666
+0.0554066
+0.0560115
+0.0566944
+0.0574528
+0.0582837
+0.059184
+0.0601507
+0.0611806
+0.0622679
+0.0634038
+0.064594
+0.0658356
+0.0671258
+0.0684617
+0.0698408
+0.0712606
+0.072715
+0.0741436
+0.0756087
+0.0771077
+0.0786286
+0.0801798
+0.0805177
+0.0807653
+0.0810659
+0.0814233
+0.0818323
+0.0822974
+0.0856817
+0.0840855
+0.0825166
+0.0809766
+0.0794672
+0.0779901
+0.0765472
+0.0751393
+0.0737684
+0.0724379
+0.0711499
+0.0699069
+0.0687112
+0.0675654
+0.0664721
+0.0654339
+0.0644535
+0.0635334
+0.062157
+0.0607386
+0.0593671
+0.0580459
+0.0567786
+0.0555687
+0.0544062
+0.0533051
+0.0522728
+0.0513132
+0.0504306
+0.0496291
+0.0489126
+0.048285
+0.0477497
+0.0473099
+0.0469683
+0.046727
+0.0465875
+0.0465509
+0.0466172
+0.0467697
+0.0470205
+0.0473715
+0.0478203
+0.0483643
+0.0490002
+0.0497246
+0.0505337
+0.0514234
+0.0523897
+0.0534284
+0.0545353
+0.0557065
+0.0565784
+0.0558167
+0.0551316
+0.054526
+0.0539925
+0.0535361
+0.0531592
+0.0528421
+0.0525976
+0.0524429
+0.0523795
+0.0524076
+0.0525271
+0.0527156
+0.0529652
+0.0533018
+0.0537257
+0.0542349
+0.0548097
+0.0552797
+0.0558164
+0.0564298
+0.0571077
+0.0578607
+0.0586858
+0.0595801
+0.0605405
+0.0615639
+0.0626445
+0.0637737
+0.0649571
+0.0661919
+0.0674752
+0.0688044
+0.0701768
+0.0715899
+0.0730414
+0.0745291
+0.0760507
+0.0776043
+0.0791853
+0.0807063
+0.0809001
+0.0811525
+0.0814525
+0.0818026
+0.0822096
+0.0826726
+0.0867102
+0.0851333
+0.0835841
+0.0820641
+0.0805751
+0.0791187
+0.0776967
+0.0763101
+0.0749606
+0.0736516
+0.0723852
+0.0711638
+0.0699896
+0.0688651
+0.0677927
+0.066775
+0.0658146
+0.0645537
+0.0631131
+0.0617166
+0.0603673
+0.0590685
+0.0578236
+0.056636
+0.055496
+0.0544171
+0.0534062
+0.0524674
+0.0516045
+0.0508215
+0.0501221
+0.0495098
+0.0489879
+0.0485593
+0.0482265
+0.0479915
+0.0478558
+0.0478201
+0.0478847
+0.048033
+0.0482772
+0.0486191
+0.0490565
+0.0495869
+0.0502074
+0.0509146
+0.0517051
+0.052575
+0.0535205
+0.0545377
+0.0556225
+0.0567712
+0.0570605
+0.0563053
+0.0556262
+0.0550163
+0.0544805
+0.0540282
+0.0536616
+0.0533825
+0.0531922
+0.0530887
+0.053061
+0.0531028
+0.0532208
+0.0534068
+0.0536532
+0.0539855
+0.0544041
+0.0549069
+0.0553227
+0.055773
+0.056305
+0.0569164
+0.0576015
+0.0583481
+0.0591664
+0.0600535
+0.0610065
+0.0620222
+0.063095
+0.0642162
+0.0653916
+0.0666183
+0.0678936
+0.0692148
+0.0705792
+0.0719844
+0.0734281
+0.0749081
+0.0764222
+0.0779684
+0.0795421
+0.0811353
+0.081328
+0.0815791
+0.081888
+0.0822384
+0.0826432
+0.0831039
+0.0877813
+0.0862241
+0.0846948
+0.0831951
+0.0817267
+0.0802912
+0.0788903
+0.0775251
+0.0761971
+0.0749097
+0.073665
+0.0724651
+0.0713123
+0.070209
+0.0691575
+0.0681602
+0.0670079
+0.065548
+0.0641297
+0.0627559
+0.0614294
+0.0601536
+0.0589315
+0.0577667
+0.0566497
+0.0555931
+0.054604
+0.0536861
+0.0528432
+0.0520788
+0.0513965
+0.0507996
+0.0502911
+0.0498737
+0.0495497
+0.049321
+0.0491889
+0.0491542
+0.0492171
+0.0493612
+0.0495989
+0.0499317
+0.0503577
+0.0508746
+0.0514795
+0.0521695
+0.0529412
+0.0537912
+0.0547157
+0.055711
+0.0567734
+0.0578993
+0.0576183
+0.0568726
+0.0561924
+0.0555816
+0.0550513
+0.0546038
+0.0542411
+0.053965
+0.0537768
+0.0536743
+0.0536469
+0.0537089
+0.0538601
+0.0540845
+0.054343
+0.054688
+0.0551181
+0.055537
+0.0559015
+0.0563471
+0.0568738
+0.0574791
+0.0581607
+0.0589129
+0.0597235
+0.0606025
+0.0615469
+0.0625539
+0.0636177
+0.0647299
+0.0658961
+0.0671136
+0.0683797
+0.0696916
+0.0710469
+0.072443
+0.0738778
+0.0753489
+0.0768543
+0.078392
+0.0799574
+0.0814718
+0.0818123
+0.0820619
+0.0823662
+0.0827078
+0.0831057
+0.0835592
+0.0888936
+0.0873561
+0.0858471
+0.0843679
+0.0829202
+0.0815057
+0.0801261
+0.0787823
+0.0774759
+0.0762101
+0.0749869
+0.0738085
+0.0726771
+0.0715948
+0.0705639
+0.0695135
+0.0680368
+0.0665995
+0.0652041
+0.0638534
+0.0625502
+0.0612977
+0.0600989
+0.0589572
+0.0578633
+0.0568293
+0.0558621
+0.0549652
+0.0541422
+0.0533964
+0.0527312
+0.0521495
+0.0516543
+0.051248
+0.0509328
+0.0507103
+0.0505819
+0.0505481
+0.0506092
+0.0507492
+0.0509805
+0.0513043
+0.051719
+0.0522224
+0.0528119
+0.0534847
+0.0542377
+0.0550677
+0.0559711
+0.0569445
+0.0579843
+0.0588514
+0.0580688
+0.0573593
+0.0567256
+0.0561702
+0.0556955
+0.0552602
+0.0549019
+0.0546291
+0.0544432
+0.054342
+0.054315
+0.0543762
+0.0545255
+0.0547302
+0.0549857
+0.0553267
+0.0557519
+0.0561794
+0.0565593
+0.0569998
+0.0575205
+0.0581191
+0.0587933
+0.0595405
+0.0603551
+0.061225
+0.06216
+0.0631571
+0.0642109
+0.065313
+0.066469
+0.0676763
+0.068932
+0.0702336
+0.0715786
+0.0729645
+0.0743892
+0.0758504
+0.0772407
+0.0783071
+0.0794197
+0.0805764
+0.0817755
+0.0825911
+0.0828403
+0.0831464
+0.0835089
+0.083927
+0.0900454
+0.088528
+0.0870392
+0.0855806
+0.0841538
+0.0827604
+0.0814021
+0.0800796
+0.0787948
+0.0775505
+0.0763488
+0.0751918
+0.0740814
+0.07302
+0.0720095
+0.0705739
+0.0691199
+0.0677056
+0.0663335
+0.0650062
+0.0637267
+0.0624977
+0.0613224
+0.0602039
+0.0591332
+0.0581218
+0.0571764
+0.0563005
+0.0554973
+0.05477
+0.0541216
+0.0535551
+0.053073
+0.0526776
+0.052371
+0.0521547
+0.0520298
+0.051997
+0.0520564
+0.0521923
+0.0524172
+0.0527322
+0.0531358
+0.0536259
+0.0542001
+0.0548559
+0.0555904
+0.0564004
+0.0572828
+0.0582342
+0.0592515
+0.0593598
+0.0585927
+0.0578896
+0.0572617
+0.0567116
+0.0562414
+0.0558533
+0.055549
+0.055326
+0.0551761
+0.0550786
+0.0550519
+0.0551123
+0.0552536
+0.055455
+0.0557072
+0.0560438
+0.0564636
+0.056896
+0.0572933
+0.0577283
+0.0582424
+0.0588337
+0.0594998
+0.0602382
+0.0610464
+0.0619112
+0.062836
+0.0638225
+0.0648681
+0.0659638
+0.0671086
+0.0683045
+0.0695489
+0.0708392
+0.0721729
+0.0734207
+0.0743483
+0.0753283
+0.0763586
+0.0774372
+0.078562
+0.0797312
+0.0809428
+0.082195
+0.0832317
+0.0835364
+0.0838972
+0.0843135
+0.0912353
+0.089738
+0.0882696
+0.0868317
+0.0854258
+0.0840535
+0.0827164
+0.0814153
+0.0801518
+0.078929
+0.0777486
+0.0766127
+0.0755232
+0.0744823
+0.0731543
+0.0716857
+0.0702547
+0.0688636
+0.0675151
+0.0662115
+0.0649557
+0.0637504
+0.0625986
+0.0615034
+0.0604558
+0.0594669
+0.0585433
+0.0576881
+0.0569045
+0.0561954
+0.0555636
+0.0550119
+0.0545427
+0.0541581
+0.0538599
+0.0536496
+0.0535282
+0.0534963
+0.0535541
+0.053686
+0.0539047
+0.0542111
+0.0546037
+0.0550807
+0.05564
+0.056279
+0.0569951
+0.0577854
+0.058647
+0.0595767
+0.0605714
+0.0599385
+0.0591789
+0.0584828
+0.0578614
+0.057317
+0.0568519
+0.056468
+0.056167
+0.0559465
+0.0557982
+0.0557358
+0.0557594
+0.055869
+0.0560574
+0.0562559
+0.0565044
+0.0568364
+0.0572503
+0.0576869
+0.0581008
+0.0585297
+0.0590369
+0.0596203
+0.0602777
+0.0610067
+0.0618048
+0.0626591
+0.063573
+0.0645484
+0.0655824
+0.0666724
+0.067813
+0.0689967
+0.0700559
+0.070829
+0.0716608
+0.0725492
+0.0734922
+0.0744874
+0.0755298
+0.07662
+0.0777567
+0.0789378
+0.0801614
+0.0814256
+0.0827284
+0.0839818
+0.0843407
+0.0847548
+0.0924618
+0.0909846
+0.0895367
+0.0881195
+0.0867345
+0.0853832
+0.0840672
+0.0827874
+0.0815452
+0.0803435
+0.0791842
+0.0780692
+0.0770004
+0.0757734
+0.074292
+0.0728463
+0.0714386
+0.0700711
+0.0687462
+0.0674664
+0.0662344
+0.0650528
+0.0639245
+0.0628523
+0.0618278
+0.0608612
+0.059959
+0.0591243
+0.05836
+0.0576688
+0.0570534
+0.0565162
+0.0560596
+0.0556855
+0.0553955
+0.055191
+0.055073
+0.055042
+0.0550982
+0.0552263
+0.0554389
+0.0557368
+0.0561188
+0.056583
+0.0571276
+0.0577501
+0.0584482
+0.0592192
+0.0600601
+0.0609683
+0.0614094
+0.0605909
+0.0598396
+0.0591513
+0.058537
+0.057999
+0.0575394
+0.0571601
+0.0568627
+0.0566449
+0.0564985
+0.0564368
+0.0564602
+0.0565684
+0.056761
+0.0570372
+0.0573743
+0.0577013
+0.058109
+0.0585492
+0.0589681
+0.0594012
+0.0599009
+0.060476
+0.0611242
+0.0618433
+0.0626307
+0.0634739
+0.0643762
+0.0653396
+0.0663613
+0.0672288
+0.067828
+0.0684862
+0.0692076
+0.06999
+0.0708317
+0.0717303
+0.0726839
+0.0736904
+0.0747474
+0.0758531
+0.0770048
+0.0781977
+0.0794327
+0.0807083
+0.0820226
+0.0833737
+0.0847599
+0.0852354
+0.0937234
+0.0922665
+0.090839
+0.0894424
+0.0880782
+0.0867478
+0.0854529
+0.0841941
+0.082973
+0.0817923
+0.0806538
+0.0795594
+0.0784275
+0.0769348
+0.0754761
+0.0740536
+0.0726692
+0.0713253
+0.0700242
+0.0687682
+0.0675599
+0.0664019
+0.0652969
+0.0642477
+0.0632459
+0.0623013
+0.0614203
+0.0606057
+0.0598603
+0.0591866
+0.0585872
+0.0580642
+0.0576198
+0.0572559
+0.0569739
+0.0567751
+0.0566604
+0.0566303
+0.0566849
+0.0568092
+0.0570159
+0.0573057
+0.0576773
+0.0581291
+0.0586593
+0.0592657
+0.0599462
+0.0606981
+0.0615189
+0.0624058
+0.0621237
+0.0613148
+0.0605724
+0.0598926
+0.0592859
+0.0587547
+0.0583011
+0.0579268
+0.0576333
+0.0574185
+0.0572741
+0.0572132
+0.0572362
+0.057343
+0.057533
+0.0578055
+0.0581593
+0.0585929
+0.0590366
+0.0594797
+0.0598961
+0.0603294
+0.0608317
+0.061398
+0.0620366
+0.0627452
+0.0635215
+0.064353
+0.0650045
+0.0654075
+0.065881
+0.0664226
+0.0670231
+0.0676891
+0.0684189
+0.0692102
+0.0700612
+0.0709697
+0.0719334
+0.0729501
+0.0740178
+0.0751341
+0.0762929
+0.0774964
+0.0787424
+0.0800289
+0.0813542
+0.0827162
+0.0841132
+0.0855436
+0.0950188
+0.093582
+0.092175
+0.0907989
+0.0894554
+0.0881458
+0.0868717
+0.0856338
+0.0844335
+0.0832735
+0.0821556
+0.0810814
+0.0796104
+0.0781403
+0.0767046
+0.0753053
+0.0739444
+0.072624
+0.0713466
+0.0701143
+0.0689296
+0.067795
+0.0667131
+0.0656865
+0.0647071
+0.0637841
+0.0629239
+0.0621291
+0.0614021
+0.0607456
+0.0601616
+0.0596525
+0.05922
+0.058866
+0.0585918
+0.0583985
+0.058287
+0.0582577
+0.0583107
+0.0584315
+0.0586325
+0.0589143
+0.0592758
+0.0597155
+0.0602317
+0.0608225
+0.0614857
+0.062219
+0.06302
+0.0637702
+0.0629062
+0.0621074
+0.0613747
+0.0607038
+0.0601054
+0.0595815
+0.0591342
+0.0587652
+0.058476
+0.0582642
+0.0581219
+0.0580619
+0.0580846
+0.0581898
+0.0583771
+0.0586456
+0.0589944
+0.0594219
+0.0599153
+0.060471
+0.0608848
+0.0613169
+0.0618162
+0.0623834
+0.0629939
+0.0634558
+0.0636428
+0.0639043
+0.0642396
+0.0646474
+0.0651263
+0.0656736
+0.0662808
+0.0669542
+0.0676919
+0.0684917
+0.0693515
+0.0702691
+0.0712423
+0.0722687
+0.0733435
+0.0744658
+0.0756348
+0.0768486
+0.0781049
+0.0794018
+0.0807373
+0.0821096
+0.0835168
+0.0849571
+0.0963466
+0.09493
+0.0935431
+0.0921875
+0.0908645
+0.0895755
+0.0883221
+0.0871048
+0.085925
+0.0847855
+0.0836877
+0.0823153
+0.080835
+0.0793876
+0.0779748
+0.0765987
+0.0752612
+0.0739644
+0.0727105
+0.0715017
+0.0703404
+0.0692289
+0.0681698
+0.0671654
+0.0662085
+0.0653068
+0.0644669
+0.0636913
+0.0629824
+0.0623425
+0.0617737
+0.0612779
+0.060857
+0.0605125
+0.0602458
+0.0600579
+0.0599494
+0.059921
+0.0599706
+0.0600867
+0.0602821
+0.0605562
+0.060908
+0.061336
+0.0618387
+0.0624143
+0.0630608
+0.063776
+0.0645576
+0.064607
+0.0637544
+0.0629664
+0.0622438
+0.0615824
+0.0609925
+0.0604763
+0.0600357
+0.0596723
+0.0593875
+0.059179
+0.0590389
+0.0589799
+0.0590022
+0.0591057
+0.0592901
+0.0595545
+0.059898
+0.0603191
+0.0607077
+0.0607781
+0.0609273
+0.0611546
+0.0614592
+0.06184
+0.0622955
+0.0627478
+0.0629369
+0.0632014
+0.0635403
+0.0639526
+0.0644367
+0.0649897
+0.0656033
+0.0662836
+0.0670286
+0.0678362
+0.0687043
+0.0696304
+0.0706111
+0.0716422
+0.0727247
+0.0738564
+0.0750349
+0.0762582
+0.0775241
+0.0788306
+0.0801756
+0.0815573
+0.0829739
+0.0844235
+0.0977055
+0.0963088
+0.0949421
+0.0936068
+0.0923041
+0.0910355
+0.0898025
+0.0886055
+0.087446
+0.0863265
+0.0850454
+0.0835561
+0.0820982
+0.0806734
+0.0792836
+0.0779306
+0.0766163
+0.0753428
+0.0741122
+0.0729267
+0.0717884
+0.0706998
+0.069663
+0.0686804
+0.0677412
+0.0668602
+0.0660401
+0.0652832
+0.0645918
+0.063968
+0.0634138
+0.062931
+0.0625213
+0.0621861
+0.0619266
+0.0617438
+0.0616384
+0.0616107
+0.0616536
+0.0617665
+0.0619567
+0.0622234
+0.0625658
+0.0629825
+0.0634722
+0.0640331
+0.0646634
+0.065361
+0.066124
+0.0655065
+0.0646657
+0.063889
+0.063171
+0.0625194
+0.0619385
+0.0614302
+0.0609965
+0.0606388
+0.0603586
+0.0601569
+0.0600218
+0.0599638
+0.0599857
+0.0600876
+0.060269
+0.0603045
+0.0601519
+0.0600713
+0.0600627
+0.0601339
+0.0602846
+0.0605143
+0.0608222
+0.0612069
+0.0616671
+0.0621091
+0.0623001
+0.0625672
+0.0629096
+0.0633259
+0.0638148
+0.0643732
+0.0649926
+0.0656792
+0.066431
+0.0672458
+0.0681214
+0.0690511
+0.0700367
+0.0710761
+0.0721672
+0.0733074
+0.0744947
+0.0757267
+0.0770013
+0.0783165
+0.0796702
+0.0810605
+0.0824856
+0.0839437
+0.0990942
+0.0977174
+0.0963707
+0.0950554
+0.0937728
+0.0925244
+0.0913114
+0.0901345
+0.0889949
+0.0878
+0.0863026
+0.0848353
+0.0833997
+0.0819976
+0.0806306
+0.0793006
+0.0780094
+0.076759
+0.0755515
+0.0743889
+0.0732734
+0.0722071
+0.0711923
+0.0702232
+0.0693045
+0.0684436
+0.0676427
+0.066904
+0.0662295
+0.0656213
+0.0650811
+0.0646108
+0.0642118
+0.0638855
+0.0636329
+0.063455
+0.0633525
+0.0633255
+0.0633677
+0.0634775
+0.0636626
+0.0639222
+0.0642555
+0.0646614
+0.0651384
+0.0656851
+0.0662997
+0.0669803
+0.0673556
+0.066466
+0.0656375
+0.0648671
+0.064158
+0.0635165
+0.0629448
+0.0624447
+0.0620181
+0.0616663
+0.0613908
+0.0611925
+0.0610676
+0.0610105
+0.0606717
+0.0602817
+0.0599692
+0.0597355
+0.0595814
+0.0595001
+0.0594914
+0.0595632
+0.0597154
+0.0599473
+0.0602581
+0.0606464
+0.0611108
+0.0615417
+0.0617345
+0.0620041
+0.0623495
+0.0627696
+0.0632628
+0.063826
+0.0644506
+0.065143
+0.0658994
+0.066716
+0.0675937
+0.0685303
+0.0695232
+0.0705703
+0.071669
+0.072817
+0.0740122
+0.0752521
+0.0765346
+0.0778577
+0.0792192
+0.0806173
+0.0820501
+0.0835158
+0.100511
+0.0991543
+0.0978274
+0.0965319
+0.0952693
+0.0940407
+0.0928476
+0.0916904
+0.0905703
+0.0890721
+0.0875965
+0.0861512
+0.084738
+0.0833584
+0.0820141
+0.0807068
+0.0794385
+0.078211
+0.0770262
+0.0758862
+0.074793
+0.0737487
+0.0727525
+0.0717993
+0.0709011
+0.0700598
+0.0692776
+0.0685565
+0.0678984
+0.0673053
+0.0667787
+0.0663204
+0.0659318
+0.065614
+0.0653681
+0.065195
+0.0650951
+0.0650689
+0.0651103
+0.0652172
+0.0653973
+0.0656501
+0.0659747
+0.06637
+0.0668349
+0.0673678
+0.0679672
+0.0686313
+0.0683594
+0.067483
+0.0666641
+0.0659015
+0.0652036
+0.0645726
+0.0640103
+0.0635186
+0.0630992
+0.0627535
+0.0624828
+0.0618181
+0.0612005
+0.0606558
+0.060186
+0.0597928
+0.0594777
+0.0592421
+0.0590867
+0.0590048
+0.0589959
+0.0590684
+0.0592219
+0.0594557
+0.059769
+0.0601605
+0.0606286
+0.0610477
+0.061242
+0.0615138
+0.061862
+0.0622853
+0.0627823
+0.0633486
+0.0639729
+0.0646655
+0.0654242
+0.0662466
+0.0671304
+0.0680734
+0.0690729
+0.0701267
+0.0712322
+0.0723872
+0.0735893
+0.0748362
+0.0761258
+0.0774558
+0.0788243
+0.0802293
+0.0816689
+0.0831413
+0.101956
+0.100618
+0.099311
+0.0980352
+0.0967922
+0.0955832
+0.0944095
+0.0932717
+0.0918627
+0.0903795
+0.0889255
+0.0875022
+0.0861112
+0.0847539
+0.0834321
+0.0821474
+0.0809017
+0.0796967
+0.0785344
+0.0774166
+0.0763453
+0.0753225
+0.0743396
+0.073407
+0.0725286
+0.0717064
+0.0709424
+0.0702384
+0.0695962
+0.0690177
+0.0685043
+0.0680576
+0.0676789
+0.0673694
+0.06713
+0.0669614
+0.0668642
+0.0668387
+0.0668793
+0.0669834
+0.0671588
+0.0674049
+0.0677211
+0.0681063
+0.0685594
+0.069079
+0.0696637
+0.0703117
+0.0694178
+0.0685541
+0.0677419
+0.0669916
+0.0663052
+0.0656847
+0.065132
+0.0645928
+0.0637014
+0.0628737
+0.0621123
+0.0614196
+0.060798
+0.0602497
+0.0597767
+0.0593808
+0.0590635
+0.0588262
+0.0586697
+0.0585872
+0.0585783
+0.0586513
+0.0588058
+0.0590413
+0.0593568
+0.0597509
+0.0602223
+0.0606255
+0.0608212
+0.0610948
+0.0614454
+0.0618716
+0.0623719
+0.0629303
+0.0635588
+0.0642558
+0.0650193
+0.0658467
+0.0667359
+0.0676843
+0.0686895
+0.0697491
+0.0708605
+0.0720215
+0.0732296
+0.0744825
+0.0757781
+0.0771141
+0.0784886
+0.0798995
+0.0813449
+0.082823
+0.103427
+0.102109
+0.10082
+0.099564
+0.0983403
+0.0971505
+0.0959961
+0.0946724
+0.0931824
+0.0917205
+0.0902882
+0.0888867
+0.0875176
+0.0861825
+0.084883
+0.0836206
+0.0823971
+0.0812143
+0.080074
+0.078978
+0.0779282
+0.0769207
+0.0759566
+0.0750442
+0.0741852
+0.0733815
+0.0726351
+0.0719477
+0.0713209
+0.0707565
+0.0702558
+0.0698203
+0.0694513
+0.0691497
+0.0689164
+0.0687522
+0.0686575
+0.0686327
+0.0686726
+0.068774
+0.0689448
+0.0691846
+0.0694927
+0.0698681
+0.0703099
+0.0708166
+0.0713871
+0.0714346
+0.0705284
+0.0696716
+0.0688726
+0.0681347
+0.0673229
+0.0662589
+0.0652433
+0.0642863
+0.0633905
+0.0625587
+0.0617934
+0.0610971
+0.0604722
+0.0599209
+0.0594453
+0.0590472
+0.0587281
+0.0584894
+0.058332
+0.058249
+0.0582401
+0.0583135
+0.0584689
+0.0587058
+0.059023
+0.0594194
+0.0598934
+0.0602681
+0.0604649
+0.0607401
+0.0610927
+0.0615214
+0.0620245
+0.062586
+0.0632179
+0.0639187
+0.0646861
+0.0655177
+0.0664113
+0.0673643
+0.0683742
+0.0694386
+0.0705549
+0.0717208
+0.0729339
+0.0741918
+0.0754924
+0.0768334
+0.0782128
+0.0796286
+0.0810788
+0.0825617
+0.104922
+0.103622
+0.102353
+0.101116
+0.0999112
+0.0987404
+0.0974996
+0.0960035
+0.0945345
+0.0930938
+0.0916829
+0.0903031
+0.0889558
+0.0876426
+0.086365
+0.0851246
+0.0839231
+0.0827621
+0.0816435
+0.0805688
+0.0795388
+0.0785457
+0.0776019
+0.076709
+0.0758688
+0.0750832
+0.0743539
+0.0736825
+0.0730706
+0.0725198
+0.0720314
+0.0716067
+0.0712469
+0.0709529
+0.0707256
+0.0705656
+0.0704734
+0.0704492
+0.0704884
+0.0705872
+0.0707536
+0.0709873
+0.0712876
+0.0716536
+0.0720844
+0.0725788
+0.0731355
+0.0723016
+0.0712418
+0.0702343
+0.0692814
+0.0682159
+0.0671005
+0.0660329
+0.0650137
+0.0640532
+0.0631542
+0.0623192
+0.061551
+0.0608519
+0.0602244
+0.0596708
+0.0591932
+0.0587933
+0.0584729
+0.0582331
+0.0580751
+0.0579917
+0.0579827
+0.0580565
+0.0582126
+0.0584505
+0.0587691
+0.0591672
+0.0596431
+0.0599885
+0.0601862
+0.0604627
+0.0608169
+0.0612475
+0.0617528
+0.0623168
+0.0629514
+0.0636551
+0.0644257
+0.0652607
+0.0661577
+0.0671143
+0.0681279
+0.0691961
+0.0703162
+0.071486
+0.072703
+0.0739649
+0.0752694
+0.0766143
+0.0779976
+0.0794172
+0.0808712
+0.0823579
+0.106438
+0.105157
+0.103907
+0.102688
+0.101502
+0.100343
+0.0988411
+0.0973656
+0.0959175
+0.0944979
+0.0931083
+0.0917499
+0.0904242
+0.0891327
+0.0878767
+0.086658
+0.085478
+0.0843384
+0.0832409
+0.0821872
+0.0811705
+0.0801977
+0.0792735
+0.0783996
+0.0775778
+0.0768097
+0.0760969
+0.075441
+0.0748435
+0.0743058
+0.0738292
+0.0734149
+0.073064
+0.0727774
+0.0725558
+0.0723998
+0.0723099
+0.0722864
+0.072325
+0.0724212
+0.0725834
+0.0728113
+0.0731041
+0.0734611
+0.0738813
+0.0743637
+0.0732861
+0.0721743
+0.0711125
+0.0701032
+0.0691485
+0.0680669
+0.0669489
+0.0658785
+0.0648568
+0.063894
+0.0629927
+0.0621556
+0.0613853
+0.0606843
+0.0600551
+0.0594999
+0.0590209
+0.0586199
+0.0582985
+0.058058
+0.0578969
+0.0578049
+0.0577959
+0.0578698
+0.0580265
+0.0582651
+0.0585848
+0.0589841
+0.0594615
+0.0597879
+0.0599863
+0.0602638
+0.0606191
+0.0610511
+0.061558
+0.0621238
+0.0627604
+0.0634662
+0.064239
+0.0650764
+0.0659759
+0.0669351
+0.0679514
+0.0690223
+0.0701452
+0.0713178
+0.0725376
+0.0738023
+0.0751096
+0.0764574
+0.0778434
+0.0792658
+0.0807226
+0.0822119
+0.107977
+0.106715
+0.105483
+0.104282
+0.103115
+0.101694
+0.100213
+0.0987576
+0.0973302
+0.0959315
+0.094563
+0.0932258
+0.0919214
+0.0906511
+0.0894165
+0.0882191
+0.0870603
+0.0859417
+0.0848649
+0.0838276
+0.082828
+0.0818749
+0.0809699
+0.0801145
+0.0793104
+0.0785593
+0.0778625
+0.0772216
+0.076638
+0.076113
+0.0756478
+0.0752435
+0.0749012
+0.0746216
+0.0744055
+0.0742534
+0.0741658
+0.0741428
+0.0741808
+0.0742746
+0.0744328
+0.074655
+0.0749406
+0.0752888
+0.0755799
+0.0743749
+0.0732156
+0.0721028
+0.0710398
+0.0700292
+0.0690733
+0.0679881
+0.0668623
+0.065783
+0.0647599
+0.0637956
+0.0628929
+0.0620544
+0.0612828
+0.0605807
+0.0599504
+0.0593942
+0.0589143
+0.0585126
+0.0581906
+0.0579497
+0.0577882
+0.0576961
+0.0576871
+0.0577612
+0.0579181
+0.0581572
+0.0584774
+0.0588775
+0.0593557
+0.0596672
+0.059866
+0.060144
+0.0605
+0.0609329
+0.0614408
+0.0620076
+0.0626453
+0.0633524
+0.0641266
+0.0649654
+0.0658665
+0.0668273
+0.0678452
+0.0689177
+0.0700423
+0.0712166
+0.0724381
+0.0737045
+0.0750135
+0.076363
+0.0777507
+0.0791748
+0.0806332
+0.0821241
+0.109538
+0.108294
+0.10708
+0.105898
+0.104561
+0.103074
+0.101613
+0.100178
+0.0987713
+0.0973933
+0.0960456
+0.0947293
+0.0934459
+0.0921967
+0.0909831
+0.0898065
+0.0886684
+0.0875704
+0.0865139
+0.0854897
+0.0845099
+0.0835759
+0.0826895
+0.0818521
+0.0810653
+0.0803305
+0.0796492
+0.0790228
+0.0784526
+0.0779398
+0.0774856
+0.077091
+0.0767569
+0.0764841
+0.0762733
+0.0761249
+0.0760394
+0.076017
+0.0760543
+0.0761459
+0.0763002
+0.076517
+0.0767956
+0.0768212
+0.0755725
+0.0743674
+0.073208
+0.0720951
+0.0710319
+0.0700212
+0.0690652
+0.0679732
+0.0668401
+0.0657605
+0.064737
+0.0637724
+0.0628693
+0.0620305
+0.0612586
+0.0605562
+0.0599256
+0.0593692
+0.0588892
+0.0584872
+0.0581651
+0.0579241
+0.0577626
+0.0576704
+0.0576613
+0.0577355
+0.0578925
+0.0581317
+0.058452
+0.0588523
+0.0593307
+0.0596267
+0.0598257
+0.0601038
+0.0604602
+0.0608933
+0.0614015
+0.0619687
+0.0626068
+0.0633143
+0.064089
+0.0649283
+0.0658299
+0.0667912
+0.0678096
+0.0688827
+0.0700079
+0.0711827
+0.0724048
+0.0736718
+0.0749814
+0.0763314
+0.0777197
+0.0791443
+0.0806032
+0.0820947
+0.111121
+0.109894
+0.108699
+0.10744
+0.105949
+0.104482
+0.103041
+0.101626
+0.100239
+0.098882
+0.0975548
+0.0962592
+0.0949965
+0.0937679
+0.0925749
+0.0914188
+0.0903011
+0.0892231
+0.08818
+0.0871753
+0.0862145
+0.0852993
+0.0844309
+0.083611
+0.0828409
+0.082122
+0.0814557
+0.0808433
+0.080286
+0.079785
+0.0793413
+0.078956
+0.0786298
+0.0783635
+0.0781578
+0.078013
+0.0779296
+0.0779077
+0.0779445
+0.0780338
+0.0781844
+0.0783959
+0.0781657
+0.0768764
+0.0756286
+0.0744244
+0.0732659
+0.0721539
+0.0710916
+0.0700818
+0.0691266
+0.0680219
+0.0668897
+0.0658109
+0.0647882
+0.0638243
+0.062922
+0.0620839
+0.0613127
+0.0606109
+0.0599809
+0.0594251
+0.0589454
+0.0585439
+0.0582221
+0.0579813
+0.0578199
+0.0577278
+0.0577188
+0.0577929
+0.0579497
+0.0581887
+0.0585087
+0.0589086
+0.0593866
+0.0596668
+0.0598655
+0.0601435
+0.0604996
+0.0609324
+0.0614404
+0.0620072
+0.0626449
+0.063352
+0.0641262
+0.064965
+0.0658661
+0.0668269
+0.0678448
+0.0689173
+0.070042
+0.0712163
+0.0724378
+0.0737042
+0.0750132
+0.0763626
+0.0777504
+0.0791744
+0.0806329
+0.0821238
+0.112723
+0.111515
+0.110332
+0.108836
+0.107364
+0.105916
+0.104495
+0.1031
+0.101734
+0.100396
+0.0990896
+0.0978143
+0.0965719
+0.0953636
+0.0941908
+0.0930548
+0.0919569
+0.0908961
+0.0898684
+0.0888828
+0.0879407
+0.0870436
+0.0861929
+0.0853898
+0.0846359
+0.0839324
+0.0832806
+0.0826817
+0.0821369
+0.0816473
+0.0812138
+0.0808374
+0.0805188
+0.0802588
+0.0800579
+0.0799166
+0.0798352
+0.0798138
+0.07985
+0.0799372
+0.0800842
+0.0796081
+0.0782813
+0.0769939
+0.0757481
+0.0745458
+0.0733892
+0.0722791
+0.0712187
+0.0702107
+0.0692573
+0.0681411
+0.0670109
+0.065934
+0.0649133
+0.0639514
+0.0630509
+0.0622145
+0.0614449
+0.0607446
+0.060116
+0.0595615
+0.0590829
+0.0586823
+0.0583613
+0.0581211
+0.0579601
+0.0578682
+0.0578592
+0.0579331
+0.0580896
+0.058328
+0.0586473
+0.0590462
+0.0595231
+0.0597784
+0.0599769
+0.0602543
+0.0606098
+0.0610418
+0.0615488
+0.062123
+0.0627595
+0.0634653
+0.0642382
+0.0650756
+0.0659751
+0.0669343
+0.0679506
+0.0690215
+0.0701445
+0.0713171
+0.0725369
+0.0738016
+0.0751089
+0.0764567
+0.0778427
+0.0792651
+0.0807219
+0.0822113
+0.114346
+0.113155
+0.111734
+0.110257
+0.108804
+0.107376
+0.105974
+0.104599
+0.103253
+0.101935
+0.100649
+0.0993933
+0.0981709
+0.0969825
+0.0958295
+0.0947132
+0.0936348
+0.0925869
+0.0915781
+0.0906112
+0.0896872
+0.0888078
+0.0879741
+0.0871874
+0.0864492
+0.0857606
+0.0851227
+0.0845369
+0.0840041
+0.0835254
+0.0831018
+0.0827339
+0.0824227
+0.0821687
+0.0819725
+0.0818345
+0.081755
+0.0817341
+0.0817698
+0.0818549
+0.0811432
+0.0797817
+0.0784579
+0.0771735
+0.0759306
+0.0747312
+0.0735776
+0.0724703
+0.0714128
+0.0704075
+0.0694568
+0.0683304
+0.0672033
+0.0661296
+0.0651119
+0.064153
+0.0632553
+0.0624217
+0.0616547
+0.0609568
+0.0603305
+0.0597779
+0.0593011
+0.058902
+0.0585821
+0.0583428
+0.0581825
+0.058091
+0.058082
+0.0581556
+0.0583115
+0.0585489
+0.058867
+0.0592645
+0.0597396
+0.0599631
+0.0601609
+0.0604375
+0.0607919
+0.0612226
+0.0617282
+0.0623067
+0.0629451
+0.0636489
+0.0644195
+0.0652546
+0.0661517
+0.0671084
+0.0681221
+0.0691903
+0.0703106
+0.0714805
+0.0726976
+0.0739595
+0.0752641
+0.0766091
+0.0779925
+0.0794122
+0.0808663
+0.082353
+0.115987
+0.114643
+0.113161
+0.111703
+0.110269
+0.108861
+0.107478
+0.106123
+0.104796
+0.103498
+0.102231
+0.100995
+0.0997923
+0.0986235
+0.0974899
+0.0963928
+0.0953286
+0.0942983
+0.093308
+0.0923591
+0.0914529
+0.0905905
+0.0897734
+0.0890027
+0.0882796
+0.0876054
+0.0869811
+0.0864078
+0.0858867
+0.0854185
+0.0850043
+0.0846447
+0.0843406
+0.0840924
+0.0839007
+0.0837658
+0.0836881
+0.0836678
+0.0837028
+0.0827658
+0.0813726
+0.080015
+0.0786951
+0.0774146
+0.0761757
+0.0749802
+0.0738305
+0.0727271
+0.0716733
+0.0706718
+0.0697247
+0.0685891
+0.0674663
+0.0663969
+0.0653834
+0.0644285
+0.0635347
+0.0627049
+0.0619414
+0.0612467
+0.0606234
+0.0600735
+0.059599
+0.0592019
+0.0588837
+0.0586456
+0.0584861
+0.0583951
+0.0583861
+0.0584594
+0.0586144
+0.0588507
+0.0591672
+0.0595626
+0.0600354
+0.0602269
+0.0604239
+0.0606993
+0.0610521
+0.0614811
+0.0619845
+0.0625602
+0.0631924
+0.0638934
+0.0646611
+0.0654931
+0.066387
+0.0673404
+0.0683506
+0.0694153
+0.070532
+0.0716983
+0.0729118
+0.0741701
+0.075471
+0.0768124
+0.0781922
+0.0796083
+0.0810589
+0.0825422
+0.117561
+0.116076
+0.114613
+0.113173
+0.111758
+0.110369
+0.109005
+0.107669
+0.106361
+0.105083
+0.103835
+0.102619
+0.101435
+0.100286
+0.099171
+0.0980915
+0.097041
+0.0960291
+0.0950569
+0.0941256
+0.0932365
+0.0923909
+0.0915898
+0.0908345
+0.0901261
+0.0894658
+0.0888546
+0.0882935
+0.0877835
+0.0873255
+0.0869204
+0.0865688
+0.0862714
+0.0860288
+0.0858414
+0.0857096
+0.0856337
+0.0856138
+0.084471
+0.0830485
+0.0816601
+0.0803074
+0.0789924
+0.0777168
+0.0764827
+0.0752922
+0.0741466
+0.0730476
+0.0719985
+0.0710016
+0.070059
+0.0689165
+0.0677992
+0.0667351
+0.0657268
+0.0647769
+0.0638881
+0.0630628
+0.0623037
+0.0616132
+0.0609936
+0.060447
+0.0599756
+0.059581
+0.0592648
+0.0590283
+0.0588698
+0.0587793
+0.0587704
+0.0588432
+0.0589972
+0.059232
+0.0595464
+0.0599394
+0.0604092
+0.0605689
+0.0607647
+0.0610386
+0.0613895
+0.0618161
+0.0623168
+0.0628854
+0.0635143
+0.0642118
+0.0649758
+0.0658038
+0.0666935
+0.0676425
+0.0686483
+0.0697085
+0.0708206
+0.0719822
+0.0731909
+0.0744445
+0.0757407
+0.0770774
+0.0784525
+0.0798641
+0.0813101
+0.0827889
+0.118999
+0.117532
+0.116087
+0.114666
+0.11327
+0.111899
+0.110555
+0.109237
+0.107949
+0.106689
+0.10546
+0.104263
+0.103098
+0.101968
+0.100872
+0.0998046
+0.0987724
+0.0977783
+0.0968237
+0.0959096
+0.0950372
+0.0942077
+0.0934222
+0.0926818
+0.0919877
+0.0913408
+0.0907422
+0.0901929
+0.0896937
+0.0892456
+0.0888492
+0.0885052
+0.0882144
+0.0879771
+0.0877939
+0.087665
+0.0875908
+0.0862537
+0.0848046
+0.0833879
+0.0820052
+0.0806583
+0.079349
+0.0780781
+0.0768482
+0.0756616
+0.0745206
+0.0734272
+0.0723837
+0.0713921
+0.0704547
+0.0693117
+0.0682008
+0.0671431
+0.066141
+0.0651972
+0.0643141
+0.0634944
+0.0627405
+0.0620549
+0.0614397
+0.0608972
+0.0604292
+0.0600376
+0.0597238
+0.0594891
+0.0593319
+0.0592421
+0.0592333
+0.0593055
+0.0594584
+0.0596913
+0.0600033
+0.0603933
+0.0608596
+0.0609877
+0.0611822
+0.0614542
+0.0618027
+0.0622265
+0.0627239
+0.0632847
+0.0639097
+0.064603
+0.0653623
+0.0661855
+0.0670702
+0.0680139
+0.0690143
+0.070069
+0.0711754
+0.0723313
+0.0735343
+0.0747822
+0.0760726
+0.0774036
+0.078773
+0.0801789
+0.0816194
+0.0830926
+0.12046
+0.119011
+0.117584
+0.116182
+0.114804
+0.113451
+0.112125
+0.110827
+0.109557
+0.108316
+0.107106
+0.105927
+0.104781
+0.103669
+0.102587
+0.101536
+0.100522
+0.0995451
+0.0986075
+0.0977101
+0.096854
+0.0960401
+0.0952697
+0.0945439
+0.0938635
+0.0932296
+0.0926433
+0.0921053
+0.0916165
+0.0911778
+0.0907898
+0.0904533
+0.0901687
+0.0899366
+0.0897574
+0.0896122
+0.0881094
+0.0866359
+0.0851933
+0.0837831
+0.0824055
+0.0810636
+0.0797593
+0.0784946
+0.0772712
+0.0760913
+0.0749568
+0.0738699
+0.0728327
+0.0718473
+0.0709159
+0.0697734
+0.06867
+0.0676196
+0.0666247
+0.0656879
+0.0648115
+0.0639982
+0.0632503
+0.0625702
+0.0619601
+0.0614222
+0.0609583
+0.0605701
+0.0602591
+0.0600265
+0.0598706
+0.0597817
+0.059773
+0.0598445
+0.059996
+0.0602268
+0.0605361
+0.0609226
+0.0613664
+0.0614817
+0.0616747
+0.0619445
+0.0622903
+0.0627108
+0.0632044
+0.0637569
+0.0643773
+0.0650655
+0.0658196
+0.0666371
+0.0675159
+0.0684535
+0.0694475
+0.0704957
+0.0715956
+0.0727448
+0.0739411
+0.0751821
+0.0764659
+0.0777901
+0.0791528
+0.0805521
+0.081986
+0.0834528
+0.121943
+0.120511
+0.119103
+0.117718
+0.116358
+0.115024
+0.113717
+0.112437
+0.111185
+0.109963
+0.108771
+0.10761
+0.106482
+0.105388
+0.104319
+0.103285
+0.102288
+0.101328
+0.100408
+0.0995263
+0.0986859
+0.0978873
+0.0971316
+0.0964197
+0.0957527
+0.0951314
+0.0945568
+0.0940298
+0.0935511
+0.0931215
+0.0927416
+0.0924122
+0.0921337
+0.0919065
+0.091557
+0.0900334
+0.0885373
+0.0870695
+0.0856327
+0.0842283
+0.0828581
+0.0815237
+0.0802269
+0.0789696
+0.0777537
+0.0765812
+0.0754541
+0.0743745
+0.0733444
+0.0723659
+0.0714412
+0.0703004
+0.0692054
+0.0681633
+0.0671764
+0.0662474
+0.0653785
+0.0645723
+0.0638312
+0.0631573
+0.062553
+0.0620202
+0.0615608
+0.0611764
+0.0608685
+0.0606382
+0.060484
+0.0603959
+0.0603873
+0.0604581
+0.060608
+0.0608366
+0.0611428
+0.0615255
+0.061935
+0.0620492
+0.0622404
+0.0625078
+0.0628505
+0.0632672
+0.0637544
+0.0643002
+0.0649154
+0.0655981
+0.066346
+0.0671572
+0.0680292
+0.0689598
+0.0699467
+0.0709875
+0.0720799
+0.0732215
+0.0744101
+0.0756435
+0.0769195
+0.0782361
+0.0795912
+0.0809828
+0.0824093
+0.0838686
+0.123446
+0.122032
+0.120642
+0.119275
+0.117933
+0.116617
+0.115328
+0.114066
+0.112832
+0.111628
+0.110454
+0.109311
+0.108201
+0.107118
+0.106067
+0.10505
+0.10407
+0.103127
+0.102223
+0.101357
+0.100532
+0.0997484
+0.0990069
+0.0983086
+0.0976544
+0.0970453
+0.0964822
+0.0959657
+0.0954967
+0.0950759
+0.0947039
+0.0943813
+0.0941086
+0.0935632
+0.0920192
+0.0905019
+0.0890126
+0.0875528
+0.0861241
+0.0847278
+0.0833658
+0.0820397
+0.0807512
+0.0795022
+0.0782946
+0.0771303
+0.0760113
+0.0749397
+0.0739175
+0.0729467
+0.0720227
+0.0708912
+0.0698055
+0.0687725
+0.0677945
+0.066874
+0.0660134
+0.065215
+0.0644813
+0.0638143
+0.0632162
+0.0626891
+0.0622346
+0.0618544
+0.0615499
+0.0613222
+0.0611696
+0.0610826
+0.0610741
+0.0611441
+0.0612923
+0.0615183
+0.0618211
+0.0621997
+0.0625751
+0.0626882
+0.0628774
+0.0631421
+0.0634814
+0.063894
+0.0643724
+0.064913
+0.0655225
+0.0661988
+0.0669401
+0.0677441
+0.0686087
+0.0695316
+0.0705104
+0.071543
+0.072627
+0.0737602
+0.0749402
+0.0761651
+0.0774325
+0.0787405
+0.080087
+0.0814702
+0.0828883
+0.0843394
+0.12497
+0.123574
+0.122201
+0.120852
+0.119528
+0.118229
+0.116957
+0.115713
+0.114497
+0.113311
+0.112154
+0.111029
+0.109934
+0.108866
+0.107831
+0.106832
+0.105868
+0.104941
+0.104052
+0.103202
+0.102392
+0.101623
+0.100895
+0.10021
+0.0995681
+0.0989708
+0.0984186
+0.0979124
+0.0974527
+0.0970404
+0.096676
+0.09636
+0.0956215
+0.0940642
+0.0925285
+0.0910197
+0.0895391
+0.088088
+0.0866681
+0.0852807
+0.0839277
+0.0826105
+0.0813311
+0.0800912
+0.0788926
+0.0777372
+0.0766271
+0.0755642
+0.0745506
+0.0735882
+0.0726655
+0.0715443
+0.0704686
+0.0694454
+0.068477
+0.0675658
+0.0667142
+0.0659243
+0.0651985
+0.064539
+0.0639477
+0.0634266
+0.0629775
+0.0626018
+0.0623009
+0.062076
+0.0619253
+0.0618393
+0.0618309
+0.0619
+0.0620465
+0.0622697
+0.0625689
+0.062943
+0.0632846
+0.0633964
+0.0635835
+0.0638454
+0.0641809
+0.064589
+0.0650583
+0.0655933
+0.0661965
+0.066866
+0.0676
+0.0683962
+0.0692527
+0.0701671
+0.0711372
+0.0721608
+0.0732357
+0.0743595
+0.0755303
+0.0767457
+0.0780036
+0.0793022
+0.0806394
+0.0820133
+0.0834221
+0.084864
+0.126514
+0.125135
+0.123779
+0.122447
+0.12114
+0.11986
+0.118605
+0.117379
+0.11618
+0.115011
+0.113872
+0.112764
+0.111681
+0.110629
+0.109611
+0.108628
+0.10768
+0.106769
+0.105896
+0.105061
+0.104265
+0.103509
+0.102795
+0.102122
+0.101493
+0.100907
+0.100366
+0.0998691
+0.0994186
+0.0990144
+0.0986573
+0.097731
+0.0961637
+0.0946132
+0.0930866
+0.091587
+0.0901157
+0.0886741
+0.0872637
+0.085886
+0.0845426
+0.0832352
+0.0819655
+0.0807353
+0.0795464
+0.0784007
+0.0773001
+0.0762466
+0.0752422
+0.0742888
+0.0733682
+0.0722578
+0.071193
+0.0701803
+0.0692222
+0.068321
+0.0674788
+0.066698
+0.0659808
+0.0653291
+0.064745
+0.0642304
+0.0637869
+0.0634161
+0.0631191
+0.0628971
+0.0627483
+0.0626635
+0.0626552
+0.0627234
+0.062868
+0.0630883
+0.0633836
+0.0637529
+0.0640541
+0.0641646
+0.0643495
+0.0646082
+0.0649398
+0.0653432
+0.06581
+0.0663389
+0.0669354
+0.0675976
+0.0683237
+0.0691117
+0.0699593
+0.0708646
+0.0718253
+0.0728393
+0.0739043
+0.0750181
+0.0761787
+0.0773839
+0.0786317
+0.0799201
+0.0812471
+0.0826109
+0.0840096
+0.0854417
+0.128076
+0.126714
+0.125375
+0.124061
+0.122771
+0.121508
+0.12027
+0.119061
+0.11788
+0.116727
+0.115605
+0.11451
+0.113442
+0.112407
+0.111406
+0.110438
+0.109506
+0.108611
+0.107752
+0.106931
+0.10615
+0.105408
+0.104706
+0.104046
+0.103428
+0.102853
+0.102322
+0.101835
+0.101394
+0.100997
+0.099892
+0.0983104
+0.0967519
+0.0952095
+0.0936927
+0.0922029
+0.0907416
+0.08931
+0.0879098
+0.0865424
+0.0852094
+0.0839124
+0.0826531
+0.0814333
+0.0802547
+0.0791193
+0.0780289
+0.0769853
+0.0759906
+0.0750467
+0.074129
+0.0730302
+0.0719767
+0.0709753
+0.0700281
+0.0691373
+0.0683052
+0.067534
+0.0668257
+0.0661823
+0.0656059
+0.0650981
+0.0646605
+0.0642947
+0.0640018
+0.0637828
+0.0636362
+0.0635525
+0.0635443
+0.0636116
+0.0637541
+0.0639714
+0.0642627
+0.0646269
+0.0648829
+0.064992
+0.0651745
+0.06543
+0.0657574
+0.0661559
+0.0666239
+0.0671478
+0.0677372
+0.0683916
+0.0691094
+0.0698885
+0.0707268
+0.0716224
+0.0725731
+0.0735767
+0.0746312
+0.0757344
+0.0768841
+0.0780785
+0.0793153
+0.0805927
+0.0819089
+0.0832618
+0.0846498
+0.0860712
+0.129657
+0.128311
+0.12699
+0.125692
+0.124419
+0.123173
+0.121952
+0.12076
+0.119595
+0.11846
+0.117353
+0.11627
+0.115219
+0.1142
+0.113214
+0.112262
+0.111346
+0.110465
+0.109621
+0.108814
+0.108046
+0.107317
+0.106628
+0.10598
+0.105374
+0.10481
+0.104288
+0.103811
+0.103377
+0.102101
+0.100507
+0.0989349
+0.0973847
+0.0958522
+0.0943457
+0.0928664
+0.0914157
+0.0899949
+0.0886055
+0.087249
+0.0859269
+0.0846409
+0.0833926
+0.0821838
+0.0810161
+0.0798915
+0.0788118
+0.0777787
+0.0767943
+0.0758604
+0.0749461
+0.0738594
+0.072818
+0.0718283
+0.0708924
+0.0700127
+0.0691911
+0.0684299
+0.0677309
+0.0670963
+0.0665277
+0.066027
+0.0655957
+0.0652351
+0.0649465
+0.0647307
+0.0645862
+0.0645038
+0.0644957
+0.064562
+0.0647024
+0.0649165
+0.0652036
+0.0655626
+0.0657743
+0.0658819
+0.066062
+0.066314
+0.0666371
+0.0670303
+0.0674923
+0.0680177
+0.0685995
+0.0692459
+0.0699548
+0.0707246
+0.0715532
+0.0724385
+0.0733786
+0.0743714
+0.0754148
+0.0765066
+0.077645
+0.0788278
+0.0800531
+0.0813189
+0.0826234
+0.0839649
+0.0853415
+0.0867515
+0.131255
+0.129926
+0.128621
+0.12734
+0.126084
+0.124854
+0.12365
+0.122474
+0.121326
+0.120207
+0.119111
+0.118045
+0.117009
+0.116006
+0.115036
+0.114099
+0.113198
+0.112331
+0.111501
+0.110708
+0.109954
+0.109237
+0.108561
+0.107924
+0.107329
+0.106775
+0.106263
+0.105794
+0.104356
+0.10275
+0.101165
+0.0996029
+0.0980619
+0.0965403
+0.0950447
+0.0935764
+0.0921369
+0.0907274
+0.0893494
+0.0880044
+0.0866938
+0.0854194
+0.0841826
+0.0829853
+0.0818291
+0.0807158
+0.0796473
+0.0786252
+0.0776515
+0.076728
+0.0758177
+0.0747437
+0.0737148
+0.0727372
+0.0718133
+0.0709449
+0.0701343
+0.0693834
+0.0686942
+0.0680685
+0.0675081
+0.0670148
+0.0665898
+0.0662346
+0.0659504
+0.0657379
+0.0655956
+0.0655144
+0.0655065
+0.0655718
+0.06571
+0.0659209
+0.0662036
+0.0665572
+0.0667257
+0.0668318
+0.0670093
+0.0672578
+0.0675764
+0.0679641
+0.0684199
+0.0689422
+0.0695203
+0.0701581
+0.070858
+0.071618
+0.0724364
+0.0733111
+0.0742401
+0.0752215
+0.0762533
+0.0773333
+0.0784596
+0.0796303
+0.0808434
+0.0820971
+0.0833895
+0.0847188
+0.0860833
+0.0874814
+0.132868
+0.131555
+0.130266
+0.129002
+0.127762
+0.126548
+0.125361
+0.124201
+0.123069
+0.121965
+0.120884
+0.119833
+0.118813
+0.117825
+0.11687
+0.115949
+0.115061
+0.114209
+0.113393
+0.112613
+0.111871
+0.111167
+0.110503
+0.109877
+0.109292
+0.108749
+0.108246
+0.106653
+0.105036
+0.103438
+0.101862
+0.100308
+0.0987788
+0.0972688
+0.0957845
+0.0943278
+0.0928999
+0.0915022
+0.090136
+0.0888029
+0.0875043
+0.0862418
+0.0850171
+0.0838317
+0.0826873
+0.0815857
+0.0805287
+0.079518
+0.0785554
+0.0776426
+0.0767419
+0.0756811
+0.0746651
+0.0737002
+0.0727884
+0.0719318
+0.0711325
+0.0703922
+0.0697129
+0.0690965
+0.0685446
+0.0680587
+0.0676403
+0.0672907
+0.0670109
+0.0668018
+0.0666617
+0.0665819
+0.0665741
+0.0666383
+0.0667744
+0.0669818
+0.0672601
+0.0676082
+0.0677346
+0.0678391
+0.068014
+0.0682588
+0.0685728
+0.0689549
+0.0694042
+0.0699192
+0.0704971
+0.0711261
+0.0718166
+0.0725666
+0.0733744
+0.074238
+0.0751556
+0.0761252
+0.0771449
+0.0782126
+0.0793264
+0.0804845
+0.0816849
+0.0829259
+0.0842055
+0.0855222
+0.0868741
+0.0882597
+0.134496
+0.1332
+0.131927
+0.130678
+0.129455
+0.128257
+0.127086
+0.125941
+0.124825
+0.123735
+0.12267
+0.121634
+0.12063
+0.119657
+0.118717
+0.117809
+0.116936
+0.116098
+0.115295
+0.114528
+0.113799
+0.113107
+0.112454
+0.111839
+0.111265
+0.110635
+0.108989
+0.107361
+0.105752
+0.104164
+0.102598
+0.101056
+0.0995382
+0.0980399
+0.0965675
+0.0951228
+0.093707
+0.0923215
+0.0909676
+0.0896469
+0.0883607
+0.0871106
+0.0858982
+0.0847251
+0.083593
+0.0825035
+0.0814584
+0.0804594
+0.0795082
+0.0786065
+0.077717
+0.0766696
+0.0756669
+0.0747149
+0.0738157
+0.0729712
+0.0721833
+0.0714539
+0.0707849
+0.0701778
+0.0696345
+0.0691562
+0.0687444
+0.0684003
+0.0681248
+0.0679188
+0.067782
+0.0677034
+0.0676957
+0.0677589
+0.0678927
+0.0680968
+0.0683705
+0.068713
+0.0687985
+0.0689014
+0.0690736
+0.0693147
+0.0696239
+0.0700003
+0.0704429
+0.0709504
+0.0715214
+0.0721477
+0.0728285
+0.0735682
+0.0743651
+0.0752174
+0.0761231
+0.0770806
+0.0780877
+0.0791427
+0.0802437
+0.0813887
+0.082576
+0.0838038
+0.0850702
+0.0863736
+0.0877125
+0.089085
+0.136141
+0.13486
+0.133603
+0.13237
+0.131162
+0.12998
+0.128825
+0.127696
+0.126595
+0.125519
+0.124469
+0.123449
+0.122459
+0.121501
+0.120575
+0.119682
+0.118822
+0.117997
+0.117207
+0.116453
+0.115736
+0.115056
+0.114413
+0.11381
+0.113016
+0.11136
+0.109722
+0.108104
+0.106506
+0.10493
+0.103376
+0.101846
+0.10034
+0.0988536
+0.0973935
+0.0959612
+0.0945579
+0.0931851
+0.0918439
+0.090536
+0.0892626
+0.0880253
+0.0868257
+0.0856654
+0.0845458
+0.0834688
+0.0824359
+0.0814488
+0.0805093
+0.079619
+0.0787397
+0.0777016
+0.0767118
+0.0757725
+0.0748855
+0.0740527
+0.0732759
+0.072557
+0.0718977
+0.0712996
+0.0707643
+0.0702933
+0.0698877
+0.0695489
+0.0692776
+0.0690749
+0.0689408
+0.0688635
+0.068856
+0.0689181
+0.0690497
+0.0692503
+0.0695195
+0.0698563
+0.0699149
+0.0700161
+0.0701856
+0.0704229
+0.0707272
+0.0710978
+0.0715336
+0.0720334
+0.0725959
+0.0732196
+0.0738915
+0.0746206
+0.0754064
+0.0762471
+0.0771408
+0.0780857
+0.0790801
+0.080122
+0.0812097
+0.0823413
+0.083515
+0.0847292
+0.085982
+0.0872718
+0.0885971
+0.0899561
+0.117578
+0.116211
+0.114869
+0.113554
+0.112266
+0.111007
+0.109776
+0.108576
+0.107407
+0.106271
+0.105168
+0.104099
+0.103066
+0.102069
+0.10111
+0.10019
+0.0993094
+0.0984697
+0.0976721
+0.0969173
+0.0962066
+0.0955408
+0.0949209
+0.0943422
+0.0938089
+0.093324
+0.0928883
+0.0925023
+0.0913727
+0.0899645
+0.0885881
+0.087245
+0.0859367
+0.084665
+0.083429
+0.0822279
+0.0810682
+0.0799517
+0.0788803
+0.0778558
+0.0768801
+0.075955
+0.0750825
+0.0742543
+0.0734798
+0.0727629
+0.0721055
+0.0715092
+0.0709756
+0.0705018
+0.0700784
+0.0697098
+0.0693991
+0.0691564
+0.0689824
+0.0688777
+0.0687669
+0.0682316
+0.067763
+0.0673554
+0.067011
+0.0667368
+0.0665337
+0.0664023
+0.0663395
+0.0663385
+0.0664047
+0.0665341
+0.0664682
+0.0661576
+0.0659155
+0.0657456
+0.0656347
+0.0655822
+0.0656028
+0.0656895
+0.0658089
+0.0659916
+0.0662269
+0.066497
+0.0668378
+0.0672483
+0.0677075
+0.0681992
+0.0687307
+0.0693268
+0.0699865
+0.0706651
+0.071043
+0.071486
+0.071993
+0.0725626
+0.0731933
+0.0738837
+0.074632
+0.0754365
+0.0762954
+0.077207
+0.0781641
+0.0791637
+0.116034
+0.114648
+0.113288
+0.111954
+0.110647
+0.109369
+0.10812
+0.106902
+0.105714
+0.104559
+0.103438
+0.102351
+0.1013
+0.100286
+0.0993096
+0.0983725
+0.0974756
+0.09662
+0.0958069
+0.0950374
+0.0943125
+0.0936332
+0.0930006
+0.0924123
+0.0918678
+0.0913726
+0.0909275
+0.0905332
+0.0899043
+0.0884728
+0.0870728
+0.0857059
+0.0843738
+0.0830781
+0.0818206
+0.0805987
+0.0794153
+0.0782752
+0.0771805
+0.0761332
+0.0751351
+0.0741883
+0.0732947
+0.0724522
+0.0716582
+0.0709229
+0.0702483
+0.0696361
+0.069088
+0.0686043
+0.0681721
+0.0677958
+0.0674762
+0.0672266
+0.0670476
+0.0669399
+0.0668989
+0.066448
+0.0659667
+0.0655509
+0.065197
+0.0649152
+0.0647063
+0.0645712
+0.064507
+0.064506
+0.0645793
+0.0647158
+0.0648082
+0.0644969
+0.0642485
+0.0640741
+0.0639636
+0.0639137
+0.0639349
+0.0640239
+0.0641493
+0.0643368
+0.0645751
+0.064852
+0.0652015
+0.0656222
+0.0660899
+0.0665963
+0.0671406
+0.0677507
+0.0684255
+0.0691384
+0.0695406
+0.0699931
+0.0705108
+0.0710923
+0.071736
+0.0724402
+0.0732033
+0.0740233
+0.0748985
+0.0758268
+0.0768049
+0.077822
+0.11451
+0.113106
+0.111727
+0.110374
+0.109049
+0.107751
+0.106483
+0.105246
+0.10404
+0.102866
+0.101726
+0.100621
+0.0995512
+0.098519
+0.097525
+0.0965706
+0.0956568
+0.0947848
+0.0939558
+0.093171
+0.0924315
+0.0917383
+0.0910925
+0.0904943
+0.0899382
+0.0894323
+0.0889775
+0.0885745
+0.0882242
+0.0870106
+0.0855867
+0.0841957
+0.0828393
+0.0815193
+0.0802373
+0.0789953
+0.0777889
+0.0766247
+0.0755061
+0.0744351
+0.073414
+0.0724447
+0.0715293
+0.0706701
+0.0698578
+0.0691034
+0.0684108
+0.0677821
+0.0672188
+0.0667228
+0.0662834
+0.0658979
+0.0655701
+0.0653132
+0.065129
+0.0650181
+0.0649809
+0.0646894
+0.064195
+0.0637707
+0.0634068
+0.063117
+0.0629022
+0.0627631
+0.0626975
+0.0626964
+0.0627718
+0.0629213
+0.063134
+0.0628685
+0.0626137
+0.0624348
+0.0623225
+0.0622765
+0.0622982
+0.0623907
+0.0625215
+0.0627149
+0.0629562
+0.0632402
+0.0635985
+0.0640298
+0.0645037
+0.0650277
+0.065585
+0.0662095
+0.0668998
+0.067616
+0.0680755
+0.0685377
+0.0690663
+0.0696599
+0.0703167
+0.071035
+0.071813
+0.0726487
+0.0735402
+0.0744855
+0.0754768
+0.0765126
+0.113008
+0.111585
+0.110187
+0.108815
+0.107471
+0.106154
+0.104867
+0.10361
+0.102384
+0.101191
+0.100032
+0.0989081
+0.0978201
+0.0967694
+0.0957573
+0.0947851
+0.0938539
+0.092965
+0.0921197
+0.0913191
+0.0905644
+0.0898568
+0.0891974
+0.0885873
+0.0880208
+0.0875038
+0.0870389
+0.0866269
+0.0862687
+0.0855796
+0.0841314
+0.082716
+0.0813349
+0.07999
+0.0786831
+0.0774162
+0.0761908
+0.0750018
+0.0738586
+0.0727635
+0.0717185
+0.0707259
+0.0697881
+0.0689071
+0.0680803
+0.067306
+0.0665947
+0.0659486
+0.0653696
+0.0648594
+0.0644107
+0.0640171
+0.0636824
+0.0634178
+0.0632281
+0.0631138
+0.0630755
+0.062958
+0.0624498
+0.0620149
+0.0616425
+0.0613444
+0.0611233
+0.0609802
+0.060913
+0.0609119
+0.0609895
+0.0611456
+0.0613714
+0.0612753
+0.0610138
+0.0608302
+0.060716
+0.0606692
+0.0606915
+0.0607926
+0.0609268
+0.0611278
+0.0613712
+0.0616625
+0.0620299
+0.062472
+0.0629538
+0.0634958
+0.0640666
+0.0647057
+0.0654019
+0.0661311
+0.0666503
+0.0671223
+0.067662
+0.0682677
+0.0689378
+0.0696703
+0.0704634
+0.0713149
+0.0722229
+0.0731818
+0.0741863
+0.0752398
+0.111529
+0.110087
+0.10867
+0.107279
+0.105914
+0.104578
+0.103271
+0.101995
+0.10075
+0.0995372
+0.0983585
+0.097215
+0.0961078
+0.0950382
+0.0940074
+0.0930169
+0.0920678
+0.0911615
+0.0902993
+0.0894824
+0.0887121
+0.0879896
+0.0873161
+0.0866928
+0.0861164
+0.0855879
+0.0851126
+0.0846912
+0.0843247
+0.0840138
+0.0827086
+0.0812684
+0.0798623
+0.0784922
+0.0771599
+0.0758675
+0.0746171
+0.0734084
+0.07224
+0.0711199
+0.0700505
+0.069034
+0.0680728
+0.0671693
+0.066326
+0.0655325
+0.0648018
+0.0641376
+0.0635421
+0.0630171
+0.062557
+0.0621566
+0.0618146
+0.061542
+0.0613465
+0.0612287
+0.0611892
+0.0612254
+0.0607335
+0.0602862
+0.0599064
+0.0595995
+0.0593719
+0.0592246
+0.0591559
+0.0591547
+0.0592346
+0.0593953
+0.0596361
+0.0597199
+0.0594516
+0.0592631
+0.0591471
+0.0590994
+0.0591223
+0.0592263
+0.0593701
+0.0595764
+0.0598198
+0.0601186
+0.0604954
+0.0609487
+0.061443
+0.0619993
+0.0625881
+0.0632385
+0.0639407
+0.0646788
+0.0652674
+0.0657494
+0.0663002
+0.0669183
+0.0676018
+0.0683486
+0.0691568
+0.0700243
+0.0709479
+0.0719168
+0.0729387
+0.07401
+0.110074
+0.108613
+0.107176
+0.105765
+0.104381
+0.103025
+0.101698
+0.100402
+0.0991364
+0.0979039
+0.0967054
+0.095542
+0.0944152
+0.0933262
+0.0922764
+0.091267
+0.0902996
+0.0893754
+0.0884957
+0.087662
+0.0868756
+0.0861377
+0.0854496
+0.0848125
+0.0842259
+0.0836855
+0.0831993
+0.0827682
+0.0823932
+0.0820749
+0.0813164
+0.0798546
+0.0784232
+0.0770275
+0.0756694
+0.0743511
+0.0730748
+0.0718425
+0.0706523
+0.0695067
+0.068412
+0.0673707
+0.0663855
+0.0654588
+0.0645931
+0.0637849
+0.063034
+0.062351
+0.0617382
+0.0611978
+0.0607243
+0.0603183
+0.0599687
+0.0596877
+0.059486
+0.0593646
+0.0593239
+0.0593626
+0.0590486
+0.0585884
+0.0582009
+0.057885
+0.0576506
+0.0574989
+0.0574285
+0.0574273
+0.0575097
+0.0576751
+0.0579231
+0.0582033
+0.0579301
+0.0577367
+0.0576188
+0.0575702
+0.0575937
+0.0577005
+0.0578545
+0.0580662
+0.0583094
+0.058616
+0.0590023
+0.059467
+0.059974
+0.0605439
+0.0611493
+0.0618028
+0.0625221
+0.063269
+0.0639298
+0.0644217
+0.0649839
+0.0656143
+0.0663112
+0.0670724
+0.0678958
+0.0687792
+0.0697113
+0.0706971
+0.0717363
+0.0728253
+0.108644
+0.107163
+0.105706
+0.104275
+0.102871
+0.101495
+0.100148
+0.0988311
+0.0975456
+0.0962928
+0.095074
+0.0938904
+0.0927435
+0.0916346
+0.0905652
+0.0895366
+0.0885502
+0.0876075
+0.08671
+0.0858589
+0.0850558
+0.084302
+0.0835988
+0.0829475
+0.082348
+0.0817952
+0.0812977
+0.0808564
+0.0804725
+0.0801466
+0.0798794
+0.0784727
+0.0770195
+0.0755979
+0.0742137
+0.0728691
+0.0715663
+0.0703076
+0.0690954
+0.0679257
+0.0668051
+0.0657384
+0.0647283
+0.0637775
+0.0628887
+0.0620645
+0.0612935
+0.0605909
+0.0599601
+0.0594035
+0.0589161
+0.0584978
+0.0581467
+0.0578568
+0.0576488
+0.0575235
+0.0574815
+0.0575209
+0.0573978
+0.0569243
+0.0565288
+0.0562035
+0.0559622
+0.0558058
+0.0557337
+0.0557325
+0.0558173
+0.0559878
+0.0562432
+0.0565655
+0.0564527
+0.0562541
+0.0561344
+0.0560849
+0.056109
+0.0562186
+0.0563833
+0.0566005
+0.0568433
+0.0571578
+0.0575539
+0.0580301
+0.0585503
+0.0591338
+0.0597438
+0.0604125
+0.0611491
+0.0619046
+0.0626299
+0.0631422
+0.0637156
+0.0643585
+0.0650688
+0.0658444
+0.066683
+0.0675758
+0.0685223
+0.069525
+0.0705815
+0.071688
+0.107239
+0.105738
+0.104262
+0.102811
+0.101387
+0.09999
+0.0986223
+0.0972847
+0.0959785
+0.094705
+0.0934654
+0.0922612
+0.0910938
+0.0899646
+0.0888751
+0.0878267
+0.0868209
+0.0858592
+0.0849432
+0.0840743
+0.0832539
+0.0824837
+0.0817648
+0.0810988
+0.0804855
+0.0799198
+0.0794105
+0.0789588
+0.0785655
+0.0782317
+0.077958
+0.0771278
+0.0756491
+0.0742054
+0.0727948
+0.0714234
+0.0700938
+0.0688082
+0.0675691
+0.0663791
+0.0652322
+0.0641394
+0.0631037
+0.0621281
+0.0612153
+0.0603682
+0.0595827
+0.0588597
+0.0582102
+0.0576367
+0.0571347
+0.0567033
+0.0563506
+0.0560518
+0.0558371
+0.0557077
+0.0556643
+0.0557044
+0.0557843
+0.055297
+0.0548928
+0.0545582
+0.0543096
+0.0541485
+0.0540746
+0.0540734
+0.0541608
+0.0543365
+0.0545995
+0.0549392
+0.0550221
+0.0548184
+0.0546975
+0.0546471
+0.0546718
+0.0547843
+0.05496
+0.0551828
+0.0554251
+0.0557475
+0.0561536
+0.0566416
+0.057175
+0.0577708
+0.0583867
+0.0590708
+0.0598249
+0.0605888
+0.0613248
+0.0619138
+0.0624984
+0.0631537
+0.0638775
+0.0646673
+0.0655172
+0.0664209
+0.0673836
+0.068403
+0.0694766
+0.0706004
+0.105861
+0.10434
+0.102844
+0.101373
+0.0999278
+0.0985105
+0.097122
+0.0957635
+0.0944362
+0.0931416
+0.0918809
+0.0906557
+0.0894674
+0.0883174
+0.0872072
+0.0861385
+0.0851128
+0.0841316
+0.0831966
+0.0823092
+0.0814711
+0.0806838
+0.0799488
+0.0792675
+0.0786399
+0.0780609
+0.0775394
+0.0770767
+0.0766738
+0.0763316
+0.0760511
+0.0758223
+0.0743176
+0.0728478
+0.0714149
+0.0700165
+0.0686596
+0.0673466
+0.0660802
+0.0648631
+0.0636959
+0.0625762
+0.0615142
+0.0605129
+0.0595754
+0.0587047
+0.0579038
+0.05716
+0.056491
+0.0558999
+0.0553827
+0.0549375
+0.0545766
+0.0542752
+0.0540534
+0.0539198
+0.0538749
+0.0539158
+0.0540316
+0.0537097
+0.0532935
+0.0529525
+0.0526962
+0.0525302
+0.0524545
+0.0524532
+0.0525433
+0.0527244
+0.0529955
+0.0533534
+0.053635
+0.053426
+0.0533063
+0.0532605
+0.053286
+0.0534013
+0.0535885
+0.0538151
+0.0540584
+0.054389
+0.0548052
+0.0553051
+0.0558518
+0.0564539
+0.0570814
+0.0577809
+0.0585527
+0.0593247
+0.0600701
+0.0607393
+0.0613352
+0.0620028
+0.0627398
+0.063543
+0.0643999
+0.065319
+0.0662978
+0.0673336
+0.068424
+0.0695648
+0.10443
+0.102967
+0.101452
+0.0999615
+0.0984961
+0.0970579
+0.0956483
+0.0942686
+0.09292
+0.0916039
+0.0903218
+0.0890751
+0.0878654
+0.0866942
+0.085563
+0.0844735
+0.0834273
+0.082426
+0.0814714
+0.0805651
+0.0797086
+0.0789037
+0.078152
+0.0774549
+0.0768125
+0.0762196
+0.0756854
+0.0752113
+0.0747983
+0.0744476
+0.0741599
+0.0739361
+0.0730276
+0.0715312
+0.0700714
+0.0686505
+0.0672662
+0.0659255
+0.0646312
+0.0633863
+0.0621936
+0.0610492
+0.0599602
+0.0589325
+0.0579694
+0.0570742
+0.0562501
+0.0554948
+0.0548054
+0.0541959
+0.0536628
+0.0532033
+0.0528306
+0.0525299
+0.0523007
+0.0521626
+0.0521162
+0.0521578
+0.0522775
+0.0521661
+0.0517375
+0.05139
+0.0511259
+0.0509547
+0.0508772
+0.0508758
+0.0509687
+0.0511554
+0.0514347
+0.0518053
+0.0522359
+0.0520885
+0.0519657
+0.0519294
+0.0519555
+0.0520738
+0.0522729
+0.0524979
+0.0527474
+0.0530861
+0.0535124
+0.0540243
+0.0545838
+0.0551927
+0.0558316
+0.0565465
+0.057333
+0.0581154
+0.0588679
+0.0596131
+0.0602202
+0.0609
+0.0616502
+0.0624673
+0.0633387
+0.064273
+0.0652674
+0.0663194
+0.0674261
+0.0685836
+0.102966
+0.101578
+0.100083
+0.0985722
+0.0970877
+0.0956304
+0.0942015
+0.0928013
+0.0914311
+0.0900933
+0.0887894
+0.0875209
+0.0862893
+0.0850964
+0.0839437
+0.0828329
+0.0817657
+0.0807439
+0.0797691
+0.0788432
+0.0779679
+0.0771448
+0.0763757
+0.0756623
+0.0750046
+0.0743972
+0.0738498
+0.0733639
+0.0729404
+0.0725807
+0.0722856
+0.072056
+0.0717341
+0.0702584
+0.0687715
+0.0673232
+0.0659159
+0.0645475
+0.063225
+0.0619518
+0.0607309
+0.0595584
+0.0584417
+0.0573868
+0.0563973
+0.0554767
+0.0546286
+0.0538562
+0.0531563
+0.0525281
+0.0519785
+0.0515038
+0.0511188
+0.0508191
+0.0505821
+0.0504393
+0.0503913
+0.0504337
+0.0505575
+0.0506702
+0.0502289
+0.0498747
+0.0496026
+0.0494261
+0.0493464
+0.0493453
+0.0494411
+0.0496335
+0.0499213
+0.0503029
+0.0507442
+0.0508103
+0.0506844
+0.05065
+0.0506849
+0.0508061
+0.0510175
+0.0512319
+0.0514927
+0.0518396
+0.0522761
+0.0527999
+0.0533685
+0.0539897
+0.054641
+0.0553714
+0.0561666
+0.0569564
+0.0577239
+0.0585196
+0.0591651
+0.0598569
+0.06062
+0.0614508
+0.0623364
+0.0632855
+0.0642953
+0.0653628
+0.0664855
+0.067659
+0.101528
+0.10012
+0.0987403
+0.0972117
+0.0957061
+0.0942275
+0.092777
+0.091356
+0.0899659
+0.0886082
+0.0872841
+0.0859943
+0.0847406
+0.0835255
+0.0823509
+0.0812183
+0.0801296
+0.0790866
+0.0780912
+0.0771451
+0.0762503
+0.0754085
+0.0746215
+0.0738911
+0.0732175
+0.0725952
+0.0720341
+0.0715358
+0.0711015
+0.0707325
+0.0704296
+0.0701939
+0.0700259
+0.0689797
+0.0675177
+0.0660419
+0.0646066
+0.0632147
+0.0618644
+0.0605626
+0.0593131
+0.058112
+0.0569669
+0.0558842
+0.0548676
+0.053921
+0.0530479
+0.0522522
+0.0515305
+0.0508852
+0.0503234
+0.0498428
+0.0494448
+0.0491413
+0.0489013
+0.0487536
+0.048704
+0.0487471
+0.0488752
+0.0491008
+0.048772
+0.0484112
+0.0481308
+0.0479489
+0.0478667
+0.0478661
+0.0479648
+0.0481631
+0.0484597
+0.048849
+0.0493028
+0.0495959
+0.0494669
+0.0494317
+0.0494706
+0.0495949
+0.0498152
+0.0500278
+0.0502948
+0.0506499
+0.0510966
+0.0516324
+0.0522141
+0.0528485
+0.0535137
+0.0542592
+0.0550585
+0.0558587
+0.0566415
+0.0574468
+0.0581734
+0.0588769
+0.0596525
+0.0604966
+0.061396
+0.0623594
+0.0633839
+0.0644666
+0.0656046
+0.0667936
+0.100116
+0.0986892
+0.0972892
+0.0958819
+0.0943551
+0.092855
+0.0913827
+0.0899397
+0.0885274
+0.0871472
+0.0858008
+0.0844898
+0.0832158
+0.0819805
+0.0807854
+0.0796312
+0.0785205
+0.0774558
+0.0764392
+0.0754724
+0.0745575
+0.0736964
+0.0728909
+0.072143
+0.0714497
+0.0708119
+0.0702366
+0.0697254
+0.0692798
+0.068901
+0.06859
+0.068348
+0.0681754
+0.0677097
+0.0662556
+0.0648093
+0.0633461
+0.0619259
+0.0605516
+0.0592218
+0.0579434
+0.0567134
+0.0555394
+0.0544283
+0.053384
+0.0524106
+0.0515119
+0.0506921
+0.0499479
+0.0492849
+0.0487047
+0.0482171
+0.0478126
+0.0474987
+0.0472623
+0.0471094
+0.0470581
+0.047102
+0.0472346
+0.047468
+0.0473717
+0.0470015
+0.0467154
+0.046528
+0.0464433
+0.0464432
+0.0465449
+0.0467492
+0.0470548
+0.0474511
+0.0479182
+0.0484502
+0.0483181
+0.0482821
+0.048322
+0.0484491
+0.0486747
+0.0488922
+0.0491654
+0.0495286
+0.0499853
+0.0505329
+0.0511271
+0.0517748
+0.0524537
+0.053214
+0.054011
+0.0548265
+0.0556244
+0.0564387
+0.0572484
+0.0579631
+0.0587508
+0.0596077
+0.0605203
+0.0614974
+0.062536
+0.0636331
+0.0647858
+0.0659895
+0.0987221
+0.0972794
+0.0958651
+0.0944751
+0.0930361
+0.0915143
+0.0900201
+0.0885549
+0.0871202
+0.0857174
+0.0843481
+0.0830142
+0.0817171
+0.0804589
+0.0792412
+0.078066
+0.0769353
+0.0758509
+0.0748145
+0.0738268
+0.0728913
+0.0720102
+0.0711857
+0.0704197
+0.0697049
+0.0690509
+0.0684608
+0.0679363
+0.0674788
+0.0670898
+0.0667705
+0.0665218
+0.0663445
+0.0662392
+0.0650062
+0.0635657
+0.0621373
+0.0606888
+0.0592858
+0.0579318
+0.0566254
+0.0553661
+0.0541629
+0.053023
+0.0519505
+0.0509496
+0.0500247
+0.0491801
+0.0484127
+0.0477293
+0.0471322
+0.0466282
+0.0462226
+0.0459019
+0.0456696
+0.0455113
+0.0454582
+0.045503
+0.0456402
+0.0458817
+0.046033
+0.045652
+0.0453617
+0.0451687
+0.0450814
+0.0450818
+0.0451867
+0.0453971
+0.0457116
+0.046115
+0.0465955
+0.0471686
+0.0472431
+0.0472062
+0.047247
+0.047377
+0.0476077
+0.0478301
+0.0481093
+0.0484804
+0.0489468
+0.0495059
+0.0501124
+0.0507731
+0.0514651
+0.0522399
+0.0530334
+0.0538637
+0.054665
+0.0554906
+0.0563774
+0.0571188
+0.057918
+0.058787
+0.0597122
+0.0607023
+0.0617543
+0.062865
+0.0640315
+0.0652492
+0.0973572
+0.0958939
+0.0944588
+0.0930531
+0.0916783
+0.090207
+0.0886908
+0.0872032
+0.0857458
+0.0843202
+0.0829279
+0.0815707
+0.0802504
+0.0789687
+0.0777277
+0.0765293
+0.0753755
+0.0742684
+0.0732101
+0.0722028
+0.0712487
+0.0703498
+0.0695074
+0.0687198
+0.0679858
+0.0673151
+0.0667097
+0.0661713
+0.0657015
+0.065302
+0.0649738
+0.0647182
+0.064536
+0.0644278
+0.0638075
+0.0623394
+0.0609109
+0.0595066
+0.0580751
+0.0566922
+0.0553614
+0.054074
+0.0528414
+0.0516724
+0.0505712
+0.0495425
+0.0485908
+0.0477208
+0.0469296
+0.0462243
+0.0456108
+0.0450898
+0.0446702
+0.0443551
+0.0441261
+0.0439643
+0.0439093
+0.043955
+0.044097
+0.0443469
+0.0447029
+0.0443696
+0.0440754
+0.0438767
+0.0437868
+0.0437878
+0.0438957
+0.0441123
+0.0444342
+0.0448462
+0.0453401
+0.0459289
+0.0462469
+0.0462092
+0.0462509
+0.0463837
+0.0466192
+0.0468463
+0.0471314
+0.0475101
+0.047986
+0.0485559
+0.0491743
+0.0498475
+0.0505522
+0.0513408
+0.0521296
+0.0529729
+0.0537718
+0.054611
+0.0555119
+0.056347
+0.057157
+0.0580375
+0.0589744
+0.0599767
+0.0610412
+0.0621646
+0.063344
+0.0645747
+0.0960228
+0.0945389
+0.0930829
+0.0916561
+0.09026
+0.0888959
+0.0873957
+0.0858861
+0.084406
+0.0829573
+0.0815418
+0.0801611
+0.0788172
+0.0775118
+0.0762471
+0.075025
+0.0738477
+0.0727174
+0.0716362
+0.0706065
+0.0696305
+0.0687104
+0.0678487
+0.067047
+0.0662945
+0.0656066
+0.0649852
+0.0644324
+0.0639499
+0.0635393
+0.063202
+0.0629392
+0.0627518
+0.0626405
+0.0626057
+0.061167
+0.0597104
+0.0582972
+0.056923
+0.0555114
+0.0541516
+0.0528412
+0.0515792
+0.0503808
+0.0492508
+0.0481939
+0.0472151
+0.0463192
+0.0455036
+0.0447759
+0.044145
+0.0436072
+0.0431732
+0.042847
+0.0426282
+0.0424741
+0.0424171
+0.0424636
+0.0426106
+0.0428691
+0.0432373
+0.0431605
+0.0428591
+0.0426548
+0.0425623
+0.0425673
+0.0426783
+0.042901
+0.0432271
+0.0436505
+0.0441577
+0.0447621
+0.0453212
+0.0452931
+0.0453388
+0.0454743
+0.0457145
+0.0459461
+0.0462367
+0.0466227
+0.0471072
+0.0476705
+0.0483101
+0.0490025
+0.0497191
+0.0505073
+0.0513034
+0.0521429
+0.0529543
+0.0538062
+0.0547203
+0.0556509
+0.0564709
+0.0573618
+0.0583096
+0.0593231
+0.0603991
+0.0615343
+0.0627256
+0.0639681
+0.0947202
+0.0932156
+0.0917386
+0.0902906
+0.088873
+0.0874873
+0.086135
+0.0846046
+0.0831024
+0.0816305
+0.0801916
+0.0787873
+0.0774194
+0.0760901
+0.0748014
+0.0735553
+0.0723541
+0.0712
+0.0700955
+0.0690427
+0.0680443
+0.0671025
+0.0662199
+0.0653987
+0.0646333
+0.0639275
+0.0632896
+0.0627219
+0.0622261
+0.061804
+0.0614572
+0.0611869
+0.0609941
+0.0608796
+0.0608438
+0.0600467
+0.0585673
+0.0571258
+0.0557331
+0.0543913
+0.0530027
+0.0516698
+0.0503806
+0.049153
+0.0479941
+0.0469089
+0.0459027
+0.0449807
+0.0441403
+0.0433897
+0.0427384
+0.0421862
+0.0417375
+0.0414
+0.0411764
+0.0410344
+0.0409755
+0.0410336
+0.0411871
+0.0414545
+0.0418351
+0.0420308
+0.0417215
+0.0415116
+0.0414166
+0.0414267
+0.0415407
+0.0417695
+0.0420994
+0.0425341
+0.0430545
+0.0436741
+0.044376
+0.0444485
+0.0445159
+0.0446539
+0.0448879
+0.0451343
+0.04543
+0.0458226
+0.0462978
+0.0468687
+0.047519
+0.0482249
+0.0489539
+0.0497522
+0.050552
+0.0513929
+0.0522159
+0.0530797
+0.0540061
+0.0549902
+0.0558622
+0.0567627
+0.0577203
+0.058744
+0.0598305
+0.0609763
+0.0621782
+0.0634314
+0.0934509
+0.0919255
+0.0904274
+0.0889581
+0.0875189
+0.0861114
+0.0847372
+0.0833594
+0.0818355
+0.0803416
+0.0788791
+0.077451
+0.0760591
+0.0747056
+0.0733926
+0.0721221
+0.0708966
+0.0697185
+0.06859
+0.0675139
+0.0664925
+0.0655284
+0.0646243
+0.0637826
+0.0630044
+0.0622801
+0.0616253
+0.061042
+0.0605325
+0.0600985
+0.0597418
+0.0594637
+0.0592653
+0.0591475
+0.0591106
+0.0589772
+0.0574786
+0.0560156
+0.0545946
+0.0532258
+0.0519117
+0.0505499
+0.0492481
+0.0479938
+0.0468061
+0.0456928
+0.0446591
+0.043711
+0.0428457
+0.0420721
+0.0414
+0.0408334
+0.0403697
+0.0400206
+0.0397893
+0.039662
+0.039601
+0.0396611
+0.0398332
+0.0401097
+0.040503
+0.0409871
+0.0406702
+0.0404548
+0.0403573
+0.0403697
+0.0404867
+0.0407214
+0.0410578
+0.0415033
+0.0420365
+0.0426709
+0.043389
+0.0436975
+0.0437709
+0.0439276
+0.0441444
+0.0444082
+0.0447028
+0.0450966
+0.0455773
+0.0461571
+0.0468171
+0.0475336
+0.0482731
+0.0490769
+0.0498743
+0.0507265
+0.0515601
+0.0524347
+0.0533723
+0.0543678
+0.0553337
+0.0562427
+0.057209
+0.0582416
+0.0593373
+0.0604924
+0.0617037
+0.0629665
+0.0922161
+0.09067
+0.0891508
+0.0876601
+0.0861992
+0.0847698
+0.0833735
+0.0820119
+0.080607
+0.0790908
+0.0776063
+0.0761543
+0.0747383
+0.0733604
+0.0720228
+0.0707278
+0.0694777
+0.0682751
+0.0671224
+0.0660223
+0.0649775
+0.0639906
+0.0630644
+0.0622016
+0.0614048
+0.0606672
+0.0599947
+0.0593955
+0.0588717
+0.0584254
+0.0580584
+0.0577722
+0.057568
+0.0574466
+0.0574087
+0.0574543
+0.056444
+0.0549637
+0.0535216
+0.0521246
+0.0507838
+0.0495018
+0.0481716
+0.0469
+0.045684
+0.0445426
+0.0434816
+0.0425072
+0.0416253
+0.0408295
+0.0401366
+0.0395531
+0.0390769
+0.0387162
+0.038477
+0.0383617
+0.0383025
+0.0383647
+0.0385512
+0.0388369
+0.0392429
+0.0397565
+0.039712
+0.0394914
+0.0393915
+0.0394042
+0.0395241
+0.0397645
+0.0401088
+0.0405648
+0.0411102
+0.0417587
+0.0424922
+0.043045
+0.0431195
+0.043289
+0.0434986
+0.0437663
+0.0440651
+0.0444646
+0.0449521
+0.0455398
+0.0462085
+0.0469345
+0.0476832
+0.0484777
+0.0492847
+0.0501471
+0.0509901
+0.0518743
+0.0528218
+0.0538276
+0.0548782
+0.0558038
+0.0567776
+0.0578179
+0.0589215
+0.0600846
+0.061304
+0.0625748
+0.0910174
+0.0894505
+0.0879102
+0.0863981
+0.0849156
+0.0834642
+0.0820456
+0.0806617
+0.079314
+0.0778807
+0.0763731
+0.0748982
+0.073458
+0.0720556
+0.0706933
+0.0693735
+0.0680986
+0.0668711
+0.0656938
+0.0645694
+0.0635006
+0.0624904
+0.0615417
+0.0606572
+0.0598399
+0.0590825
+0.0583918
+0.0577759
+0.0572373
+0.0567782
+0.0564004
+0.0561058
+0.0558955
+0.0557705
+0.0557314
+0.0557784
+0.0554766
+0.0539698
+0.0525111
+0.0510937
+0.0497251
+0.0484169
+0.0471723
+0.0458792
+0.0446412
+0.0434724
+0.0423847
+0.0413844
+0.0404781
+0.039669
+0.0389555
+0.038354
+0.0378667
+0.0374944
+0.0372474
+0.0371282
+0.0370881
+0.0371523
+0.0373449
+0.0376397
+0.0380585
+0.0385917
+0.0388538
+0.0386283
+0.0385262
+0.0385391
+0.0386617
+0.0389074
+0.0392593
+0.0397251
+0.0402818
+0.0409434
+0.0416912
+0.0424904
+0.0425659
+0.0427426
+0.0429534
+0.043226
+0.0435285
+0.0439329
+0.0444262
+0.0450208
+0.045697
+0.0464311
+0.0471878
+0.0479711
+0.0487865
+0.0496575
+0.0505087
+0.0514008
+0.0523529
+0.0533718
+0.0544312
+0.0554481
+0.056428
+0.0574747
+0.0585847
+0.0597544
+0.0609803
+0.0622577
+0.089856
+0.0882685
+0.0867073
+0.0851738
+0.0836696
+0.0821962
+0.0807554
+0.0793489
+0.0779786
+0.0766464
+0.0751832
+0.0736843
+0.07222
+0.0707931
+0.069406
+0.0680612
+0.0667612
+0.0655087
+0.0643065
+0.0631574
+0.0620643
+0.0610303
+0.0600585
+0.0591519
+0.0583135
+0.057536
+0.0568265
+0.0561934
+0.0556395
+0.0551671
+0.0547783
+0.0544748
+0.0542582
+0.0541295
+0.0540892
+0.0541376
+0.0542745
+0.0530478
+0.051563
+0.05013
+0.0487419
+0.0474066
+0.0461368
+0.0449358
+0.0436835
+0.0424883
+0.0413747
+0.0403495
+0.0394194
+0.0385913
+0.0378644
+0.0372453
+0.0367448
+0.036361
+0.0361062
+0.0359833
+0.0359616
+0.0360324
+0.036231
+0.0365347
+0.036966
+0.0375176
+0.0381024
+0.0378724
+0.0377683
+0.0377815
+0.0379065
+0.0381571
+0.0385158
+0.0389904
+0.0395575
+0.0402311
+0.0409919
+0.0418469
+0.0421139
+0.0423013
+0.0424946
+0.0427741
+0.0430968
+0.0435051
+0.0440032
+0.0446035
+0.0452857
+0.0460265
+0.0467898
+0.0475601
+0.0483825
+0.0492607
+0.0501185
+0.0510087
+0.0519675
+0.0529995
+0.0540694
+0.0551497
+0.0561617
+0.0572133
+0.0583283
+0.059503
+0.0607341
+0.0620165
+0.0887336
+0.0871256
+0.0855435
+0.0839888
+0.082463
+0.0809676
+0.0795045
+0.0780755
+0.0766825
+0.0753274
+0.0740123
+0.0725164
+0.0710279
+0.0695766
+0.0681648
+0.0667951
+0.0654699
+0.0641922
+0.0629648
+0.0617908
+0.0606731
+0.059615
+0.0586197
+0.0576905
+0.0568305
+0.0560325
+0.0553036
+0.054653
+0.0540833
+0.0535972
+0.0531969
+0.0528843
+0.0526612
+0.0525285
+0.052487
+0.0525369
+0.052678
+0.0522015
+0.050692
+0.0492336
+0.0478312
+0.0464777
+0.0451817
+0.0439568
+0.0428069
+0.0415965
+0.0404583
+0.0394092
+0.0384564
+0.0376071
+0.0368687
+0.0362353
+0.0357206
+0.0353257
+0.0350634
+0.0349368
+0.0349145
+0.0350092
+0.0352181
+0.0355307
+0.035974
+0.0365405
+0.0372055
+0.0372303
+0.0371243
+0.0371378
+0.0372649
+0.0375198
+0.0378846
+0.038367
+0.0389432
+0.0396272
+0.0403993
+0.0412666
+0.0414054
+0.0415564
+0.0418191
+0.0421941
+0.0426783
+0.0431844
+0.0436861
+0.0442907
+0.0449722
+0.0457235
+0.0464917
+0.0472472
+0.048075
+0.0489586
+0.0498207
+0.0507078
+0.0516722
+0.05271
+0.0537944
+0.0548801
+0.055972
+0.0570349
+0.0581533
+0.0593315
+0.060566
+0.061852
+0.0876515
+0.0860233
+0.0844206
+0.0828448
+0.0812975
+0.0797803
+0.078295
+0.0768435
+0.0754277
+0.0740497
+0.0727115
+0.0713966
+0.0698843
+0.0684087
+0.0669723
+0.0655776
+0.0642274
+0.0629245
+0.0616719
+0.0604727
+0.0593302
+0.0582477
+0.0572286
+0.0562764
+0.0553946
+0.0545755
+0.0538269
+0.0531582
+0.0525723
+0.0520721
+0.05166
+0.0513381
+0.0511082
+0.0509715
+0.0509287
+0.0509802
+0.0511208
+0.0508689
+0.0499019
+0.0484198
+0.0469931
+0.045627
+0.0443145
+0.0430649
+0.0418927
+0.0408022
+0.0396419
+0.0385706
+0.0375965
+0.0367274
+0.0359709
+0.0353324
+0.0348044
+0.0343989
+0.0341295
+0.0339994
+0.0339765
+0.0340738
+0.03429
+0.0346362
+0.0350908
+0.0356697
+0.0363507
+0.0367078
+0.0366004
+0.036614
+0.036743
+0.0370014
+0.0373713
+0.0378603
+0.038444
+0.0391367
+0.0399184
+0.040607
+0.0406632
+0.0408169
+0.0410844
+0.041466
+0.0419587
+0.0425586
+0.0432574
+0.0440368
+0.0447487
+0.0455093
+0.0462824
+0.0470344
+0.0478658
+0.0487356
+0.0496011
+0.0505003
+0.0514685
+0.0525103
+0.0535925
+0.054697
+0.0558367
+0.0569294
+0.0580605
+0.0592406
+0.060477
+0.0617648
+0.0866113
+0.0849632
+0.0833401
+0.0817435
+0.0801749
+0.0786361
+0.0771288
+0.0756549
+0.0742164
+0.0728154
+0.0714542
+0.0701349
+0.0687914
+0.0672919
+0.0658311
+0.0644117
+0.0630365
+0.0617084
+0.0604306
+0.0592063
+0.0580389
+0.0569319
+0.0558888
+0.0549134
+0.0540093
+0.0531688
+0.0524002
+0.051713
+0.0511106
+0.0505959
+0.0501717
+0.0498402
+0.0496033
+0.0494625
+0.0494184
+0.0494714
+0.049575
+0.0493152
+0.0491518
+0.0476928
+0.0462437
+0.0448548
+0.0435318
+0.0422678
+0.0410728
+0.0399623
+0.0389318
+0.0378404
+0.036847
+0.0359598
+0.0351868
+0.0345357
+0.0340048
+0.0335896
+0.0333137
+0.0331804
+0.0331569
+0.0332566
+0.0334798
+0.0338354
+0.03432
+0.0348899
+0.0355859
+0.0363102
+0.0362016
+0.0362154
+0.0363458
+0.0366071
+0.0369808
+0.0374749
+0.0380645
+0.0387641
+0.0395531
+0.0399702
+0.0400273
+0.0401835
+0.0404551
+0.0408426
+0.0413427
+0.0419476
+0.0426385
+0.043429
+0.0443138
+0.0452874
+0.0461691
+0.046923
+0.0477564
+0.048609
+0.0494768
+0.0503868
+0.0513576
+0.0523952
+0.0534773
+0.0546012
+0.0557429
+0.0569027
+0.0580366
+0.059224
+0.0604606
+0.0617478
+0.0856146
+0.0839469
+0.0823038
+0.0806866
+0.0790971
+0.0775369
+0.0760078
+0.0745118
+0.0730508
+0.071627
+0.0702427
+0.0689002
+0.0676021
+0.0662212
+0.0647363
+0.0632925
+0.0618925
+0.0605394
+0.0592364
+0.057987
+0.0567946
+0.0556629
+0.0545957
+0.0535968
+0.0526702
+0.0518149
+0.0510259
+0.05032
+0.0497006
+0.0491712
+0.0487345
+0.0483932
+0.0481492
+0.0480041
+0.0479587
+0.0480133
+0.0480793
+0.0478114
+0.0476429
+0.0470464
+0.0455873
+0.0441778
+0.0428339
+0.0415622
+0.0403554
+0.0392246
+0.038186
+0.0372165
+0.036206
+0.0353027
+0.034515
+0.033851
+0.0333157
+0.0328919
+0.0326101
+0.0324739
+0.0324647
+0.0325666
+0.0327961
+0.033159
+0.0336517
+0.0342328
+0.0349418
+0.0357711
+0.0359322
+0.0359461
+0.0360775
+0.0363407
+0.0367172
+0.0372147
+0.0378084
+0.0385126
+0.0393067
+0.039445
+0.0394938
+0.0396493
+0.0399246
+0.0403172
+0.0408237
+0.041425
+0.0421245
+0.0429245
+0.0438195
+0.0448038
+0.0458717
+0.0469076
+0.0477412
+0.048581
+0.0494493
+0.0503608
+0.0513333
+0.0523692
+0.0534519
+0.0545933
+0.0557304
+0.0569061
+0.0580931
+0.0592793
+0.0605148
+0.0618009
+0.0846628
+0.082976
+0.0813133
+0.079676
+0.0780659
+0.0764847
+0.0749341
+0.0734162
+0.071933
+0.0704866
+0.0690795
+0.067714
+0.0663927
+0.0651183
+0.0636928
+0.0622247
+0.0608001
+0.0594222
+0.0580942
+0.0568196
+0.0556022
+0.0544457
+0.0533542
+0.0523316
+0.0513822
+0.0505099
+0.0497079
+0.048983
+0.0483466
+0.0478021
+0.0473528
+0.0470015
+0.0467503
+0.0466008
+0.046554
+0.0466103
+0.0466386
+0.0463624
+0.0461885
+0.0461182
+0.0450099
+0.0435828
+0.0422201
+0.0409292
+0.0397174
+0.0385801
+0.0375238
+0.0365683
+0.0356819
+0.0347649
+0.0339648
+0.0332897
+0.0327453
+0.032314
+0.0320271
+0.0318884
+0.0319
+0.0320118
+0.032247
+0.032616
+0.0331045
+0.0336951
+0.0344151
+0.0351564
+0.0357719
+0.035809
+0.0359409
+0.0362051
+0.036583
+0.0370824
+0.0376781
+0.0383847
+0.0390971
+0.0390267
+0.0390614
+0.0392186
+0.0394969
+0.0398937
+0.0404055
+0.041013
+0.0417194
+0.042527
+0.0434302
+0.0444232
+0.0455
+0.0466549
+0.0478132
+0.0486517
+0.0495188
+0.0504287
+0.0513991
+0.0524348
+0.0535161
+0.0546623
+0.0557921
+0.0569793
+0.05818
+0.0594154
+0.0606481
+0.0619315
+0.0837576
+0.0820521
+0.0803702
+0.0787134
+0.0770832
+0.0754814
+0.0739098
+0.0723704
+0.0708652
+0.0693966
+0.0679669
+0.0665786
+0.0652343
+0.0639369
+0.0626891
+0.0612168
+0.0597682
+0.0583659
+0.0570133
+0.055714
+0.0544719
+0.0532909
+0.0521752
+0.051129
+0.0501568
+0.0492629
+0.0484516
+0.0477092
+0.0470555
+0.046496
+0.046034
+0.0456725
+0.0454139
+0.04526
+0.0452118
+0.0452698
+0.0452581
+0.0449734
+0.0447942
+0.0447217
+0.0445305
+0.0430875
+0.0417085
+0.0404014
+0.0391732
+0.0380316
+0.0369723
+0.0360022
+0.035142
+0.0343587
+0.0335488
+0.0328652
+0.0323136
+0.0318765
+0.0315856
+0.031445
+0.0314567
+0.0315772
+0.0318038
+0.0321783
+0.0326776
+0.0332541
+0.0339288
+0.0345135
+0.0351549
+0.0358057
+0.0359376
+0.0362018
+0.0365798
+0.0370792
+0.037675
+0.0383654
+0.0387842
+0.0387132
+0.0387482
+0.0389067
+0.0391872
+0.0395871
+0.0401029
+0.0407148
+0.0414263
+0.0422395
+0.0431487
+0.044148
+0.0452314
+0.046393
+0.0476271
+0.0488208
+0.0496848
+0.0505912
+0.0515579
+0.0525917
+0.0536698
+0.0548128
+0.0559396
+0.0571237
+0.0583372
+0.0595874
+0.0608601
+0.062139
+0.0829003
+0.0811769
+0.0794765
+0.0778006
+0.0761508
+0.074529
+0.0729369
+0.0713765
+0.0698499
+0.0683595
+0.0669077
+0.0654969
+0.0641299
+0.0628097
+0.0615391
+0.0602716
+0.0587998
+0.0573738
+0.0559972
+0.0546738
+0.0534075
+0.0522024
+0.0510629
+0.0499935
+0.0489988
+0.0480833
+0.0472518
+0.0465038
+0.0458329
+0.0452583
+0.0447835
+0.0444118
+0.0441459
+0.0439875
+0.043938
+0.0439976
+0.0439309
+0.0436376
+0.0434528
+0.043378
+0.0434105
+0.0426905
+0.041307
+0.0399867
+0.0387454
+0.0375908
+0.0365312
+0.0355623
+0.0346912
+0.0339393
+0.0332721
+0.0325828
+0.0320263
+0.0315852
+0.0312916
+0.0311497
+0.0311615
+0.0312535
+0.0314824
+0.0318607
+0.0322853
+0.032834
+0.0334798
+0.0339999
+0.0346508
+0.0353631
+0.0360416
+0.0363309
+0.0367075
+0.0372052
+0.0377991
+0.0384631
+0.0385933
+0.038522
+0.0385571
+0.0387164
+0.0389983
+0.0394001
+0.0399183
+0.040533
+0.0412476
+0.0420643
+0.0429772
+0.0439804
+0.0450679
+0.0462336
+0.0474718
+0.0487677
+0.0499465
+0.0508472
+0.0518089
+0.052839
+0.0539121
+0.0550415
+0.0561723
+0.0573516
+0.0585761
+0.0598212
+0.0611196
+0.0624228
+0.0820901
+0.0803518
+0.0786336
+0.0769393
+0.0752707
+0.0736295
+0.0720175
+0.0704367
+0.0688894
+0.0673777
+0.0659042
+0.0644715
+0.0630823
+0.0617396
+0.0604465
+0.0592063
+0.0578981
+0.0564493
+0.0550496
+0.0537029
+0.0524131
+0.0511846
+0.050022
+0.0489298
+0.047913
+0.0469764
+0.0461249
+0.0453633
+0.044679
+0.0440893
+0.0436018
+0.04322
+0.0429466
+0.0427839
+0.0427329
+0.0427942
+0.0426707
+0.0423686
+0.0421783
+0.0421013
+0.0421381
+0.0422801
+0.0409293
+0.0396537
+0.0384378
+0.0372737
+0.0362049
+0.03524
+0.0343743
+0.0336154
+0.0329848
+0.0324198
+0.0318629
+0.0314442
+0.0311493
+0.0310067
+0.0310044
+0.0310812
+0.0313114
+0.0315917
+0.0320027
+0.0325561
+0.0330954
+0.0336214
+0.0342795
+0.0350087
+0.0357067
+0.03651
+0.0369649
+0.0374591
+0.0380312
+0.0386848
+0.0385262
+0.0384548
+0.03849
+0.0386495
+0.0389319
+0.0393344
+0.0398534
+0.0404692
+0.0411849
+0.0420028
+0.042917
+0.0439216
+0.0450104
+0.0461776
+0.0474089
+0.0487009
+0.0500555
+0.0511956
+0.0521509
+0.0531755
+0.0542418
+0.0553556
+0.056489
+0.0576618
+0.0588928
+0.060134
+0.0614257
+0.0627651
+0.0813245
+0.0795711
+0.0778399
+0.0761314
+0.0744447
+0.0727848
+0.0711537
+0.0695533
+0.0679858
+0.0664536
+0.0649592
+0.0635051
+0.0620943
+0.0607298
+0.0594148
+0.0581525
+0.0569466
+0.0555958
+0.0541741
+0.052805
+0.0514928
+0.0502418
+0.0490568
+0.0479427
+0.0469045
+0.0459473
+0.0450763
+0.0442967
+0.0435935
+0.0429889
+0.0424888
+0.0420968
+0.0418161
+0.0416489
+0.0415966
+0.0416596
+0.041488
+0.0411772
+0.0409813
+0.040902
+0.04094
+0.0410948
+0.0406094
+0.039329
+0.0381303
+0.0370071
+0.035982
+0.0350388
+0.0341815
+0.0334322
+0.032798
+0.0323003
+0.031845
+0.0314309
+0.0311607
+0.0310181
+0.0309648
+0.0310038
+0.0311453
+0.0314392
+0.0318685
+0.0324243
+0.0328528
+0.0333827
+0.0340453
+0.0347795
+0.035504
+0.0362923
+0.0371876
+0.0377036
+0.038236
+0.0387728
+0.0385836
+0.0385123
+0.0385475
+0.0387068
+0.0389887
+0.0393906
+0.0399089
+0.0405238
+0.0412386
+0.0420554
+0.0429686
+0.0439719
+0.0450596
+0.0462125
+0.047436
+0.0487273
+0.0500812
+0.0514927
+0.0525819
+0.0535994
+0.0546575
+0.0557541
+0.0568883
+0.0580531
+0.0592759
+0.0605245
+0.0618081
+0.0631394
+0.0806112
+0.0788419
+0.0770943
+0.0753699
+0.0736702
+0.0719969
+0.0703475
+0.0687283
+0.0671416
+0.0655897
+0.0640751
+0.0626005
+0.0611689
+0.0597832
+0.0584469
+0.0571633
+0.055936
+0.0547689
+0.0533612
+0.0519706
+0.0506367
+0.0493639
+0.0481572
+0.0470217
+0.0459626
+0.0449853
+0.0440953
+0.0432979
+0.042593
+0.041974
+0.0414616
+0.0410599
+0.0407721
+0.0406006
+0.0405469
+0.0406115
+0.0403895
+0.0400702
+0.0398689
+0.0397874
+0.0398264
+0.0399856
+0.040262
+0.0391054
+0.0379009
+0.0367763
+0.0357446
+0.0348202
+0.0340086
+0.0332974
+0.0327174
+0.0322587
+0.0319032
+0.0315651
+0.031301
+0.0310789
+0.030971
+0.0309904
+0.031132
+0.031426
+0.0318649
+0.0323389
+0.0327553
+0.0332867
+0.0339513
+0.0346874
+0.0354195
+0.036204
+0.0371015
+0.0378646
+0.0383948
+0.0389532
+0.038765
+0.038694
+0.0387289
+0.0388875
+0.0391681
+0.0395682
+0.0400843
+0.0406928
+0.0414047
+0.0422183
+0.043128
+0.0441277
+0.0451971
+0.0463439
+0.047564
+0.048852
+0.0502025
+0.0516107
+0.053072
+0.0541064
+0.0551517
+0.0562351
+0.0573605
+0.0585238
+0.059737
+0.0609894
+0.0622628
+0.0635862
+0.0799515
+0.0781673
+0.0764043
+0.0746639
+0.0729478
+0.0712577
+0.0695956
+0.0679634
+0.066359
+0.0647884
+0.0632546
+0.0617604
+0.0603088
+0.058903
+0.0575462
+0.056242
+0.0549942
+0.0538067
+0.0526207
+0.05121
+0.0498557
+0.0485625
+0.0473353
+0.0461796
+0.0451007
+0.0441043
+0.0431961
+0.0423818
+0.0416669
+0.0410425
+0.0405184
+0.0401072
+0.0398125
+0.0396368
+0.0395818
+0.039648
+0.0393823
+0.0390548
+0.0388482
+0.0387646
+0.0388046
+0.0389679
+0.0392515
+0.0389771
+0.0377763
+0.0366671
+0.0356333
+0.034706
+0.0338951
+0.0331985
+0.0326164
+0.0321029
+0.0317165
+0.0314752
+0.0313591
+0.0312196
+0.0311123
+0.0311316
+0.0312725
+0.0315652
+0.0320022
+0.0323597
+0.032799
+0.0333348
+0.0339984
+0.0347335
+0.0354646
+0.0362482
+0.0371446
+0.0380805
+0.0385626
+0.0391348
+0.0390685
+0.038986
+0.0390208
+0.0391781
+0.0394567
+0.0398539
+0.0403588
+0.0409594
+0.0416667
+0.0424753
+0.0433796
+0.0443737
+0.0454372
+0.0465781
+0.0477923
+0.0490742
+0.0504188
+0.0518211
+0.0532767
+0.0546819
+0.0557164
+0.0567967
+0.0579111
+0.0590721
+0.0602742
+0.0615156
+0.0627783
+0.0640911
+0.0793469
+0.0775488
+0.0757714
+0.0740161
+0.0722846
+0.0705786
+0.0689001
+0.067251
+0.0656336
+0.0640503
+0.0625001
+0.0609875
+0.059517
+0.058092
+0.0567158
+0.0553921
+0.0541247
+0.0529082
+0.0517542
+0.0505329
+0.04916
+0.0478479
+0.046602
+0.0454276
+0.0443304
+0.0433163
+0.0423913
+0.0415612
+0.0408319
+0.0401942
+0.0396588
+0.0392386
+0.0389373
+0.0387577
+0.0387015
+0.0387691
+0.0384736
+0.0381383
+0.0379268
+0.0378411
+0.0378821
+0.0380494
+0.0383398
+0.0387296
+0.0377106
+0.0365998
+0.0355741
+0.0346451
+0.0338328
+0.033128
+0.032545
+0.0320419
+0.0316547
+0.0314159
+0.0313017
+0.0312681
+0.0313227
+0.0314252
+0.0315648
+0.0318548
+0.0322337
+0.0325283
+0.0329654
+0.0335262
+0.0341861
+0.0349173
+0.0356446
+0.0364243
+0.0373165
+0.0382482
+0.0387761
+0.0393237
+0.0392224
+0.0391818
+0.0392603
+0.0394402
+0.0397403
+0.0401579
+0.0406892
+0.04133
+0.0420413
+0.0428429
+0.0437396
+0.0447257
+0.0457811
+0.0469136
+0.0481193
+0.0493927
+0.0507289
+0.0521229
+0.0535702
+0.0550666
+0.0563607
+0.057434
+0.0585386
+0.0596958
+0.0608856
+0.0621145
+0.0633655
+0.0646663
+0.0787963
+0.0769857
+0.0751953
+0.0734267
+0.0716814
+0.0699611
+0.0682678
+0.0666031
+0.0649696
+0.0633698
+0.0618061
+0.0602816
+0.0587962
+0.0573533
+0.055959
+0.0546123
+0.0533153
+0.0520783
+0.0509055
+0.0498015
+0.0485532
+0.0472243
+0.0459615
+0.0447703
+0.0436566
+0.0426264
+0.0416861
+0.0408417
+0.0400993
+0.0394493
+0.0389037
+0.0384753
+0.038168
+0.0379847
+0.0379274
+0.0379964
+0.0376706
+0.0373281
+0.0371119
+0.0370243
+0.0370662
+0.0372372
+0.0375339
+0.037932
+0.0377286
+0.036618
+0.0356077
+0.0347004
+0.0338894
+0.0331858
+0.0326038
+0.0321306
+0.0317444
+0.0315063
+0.0313924
+0.0313885
+0.0314594
+0.0316361
+0.0319065
+0.032222
+0.0325222
+0.0328425
+0.0332754
+0.0338311
+0.0345037
+0.0352366
+0.0359574
+0.0367305
+0.0376154
+0.0385398
+0.0391113
+0.039598
+0.0394363
+0.039396
+0.039474
+0.039653
+0.0399515
+0.0403669
+0.0408892
+0.041514
+0.0422433
+0.0430698
+0.043983
+0.0449844
+0.0460683
+0.0472289
+0.0484609
+0.0497589
+0.0511178
+0.0525143
+0.0539512
+0.0554373
+0.056969
+0.0581418
+0.0592405
+0.0603894
+0.0615636
+0.0627786
+0.0640222
+0.06531
+0.0783028
+0.0764806
+0.0746781
+0.0728969
+0.0711386
+0.0694049
+0.0676976
+0.066019
+0.0643711
+0.0627564
+0.0611776
+0.0596374
+0.058139
+0.0566857
+0.0552679
+0.0538978
+0.0525832
+0.0513285
+0.0501382
+0.0490169
+0.0479695
+0.0466952
+0.0454177
+0.0442118
+0.0430837
+0.0420395
+0.0410857
+0.0402287
+0.0394748
+0.038814
+0.0382594
+0.0378236
+0.037511
+0.0373245
+0.0372661
+0.0373364
+0.0369801
+0.0366311
+0.0364108
+0.0363215
+0.0363642
+0.0365385
+0.0368408
+0.0372463
+0.0377748
+0.0367377
+0.0357308
+0.0348328
+0.0340522
+0.0333828
+0.0328043
+0.0323549
+0.0319843
+0.0317479
+0.0316349
+0.0316604
+0.0317307
+0.0319513
+0.0322409
+0.0326297
+0.0329541
+0.0332982
+0.0337253
+0.0342736
+0.0349377
+0.0356877
+0.0363996
+0.0371635
+0.0380384
+0.0389527
+0.0395651
+0.0399303
+0.03977
+0.03973
+0.0398073
+0.0399848
+0.0402781
+0.0406769
+0.0411886
+0.0418089
+0.0425331
+0.0433541
+0.0442614
+0.0452566
+0.0463342
+0.0474883
+0.0487138
+0.0500052
+0.0513576
+0.0527575
+0.0542017
+0.0556947
+0.0572326
+0.0588119
+0.0600105
+0.0611483
+0.0623091
+0.0635113
+0.0647465
+0.0660201
+0.0778679
+0.0760352
+0.0742219
+0.0724295
+0.0706596
+0.0689138
+0.0671941
+0.0655025
+0.0638413
+0.0622129
+0.0606199
+0.0590652
+0.0575519
+0.0560834
+0.0546499
+0.0532639
+0.0519333
+0.0506625
+0.0494561
+0.048319
+0.0472562
+0.0462639
+0.0449742
+0.0437561
+0.0426159
+0.04156
+0.0405949
+0.0397273
+0.0389637
+0.0382937
+0.0377314
+0.0372895
+0.0369723
+0.0367831
+0.0367238
+0.0367951
+0.0364084
+0.0360539
+0.0358301
+0.0357394
+0.0357828
+0.0359598
+0.036267
+0.0366789
+0.0372154
+0.0369871
+0.0359871
+0.0350957
+0.034321
+0.0336708
+0.0330974
+0.032661
+0.0323296
+0.0321247
+0.0320258
+0.0320613
+0.0321493
+0.032367
+0.0327098
+0.0330737
+0.0334665
+0.0338896
+0.0343093
+0.0348485
+0.0355018
+0.0362554
+0.0369666
+0.0377189
+0.0385812
+0.0392272
+0.0399032
+0.0403788
+0.0402203
+0.0401709
+0.0402277
+0.0404034
+0.0406964
+0.0410948
+0.0416013
+0.0422155
+0.0429329
+0.0437464
+0.0446457
+0.0456326
+0.0467014
+0.0478467
+0.0490632
+0.0503456
+0.0516891
+0.0530803
+0.054516
+0.0560006
+0.0575303
+0.0591017
+0.0607114
+0.0619686
+0.0631145
+0.0643103
+0.065536
+0.0667945
+0.0774925
+0.0756507
+0.073828
+0.0720258
+0.0702456
+0.0684893
+0.0667587
+0.0650558
+0.0633829
+0.0617423
+0.0601369
+0.0585694
+0.0570429
+0.055561
+0.0541136
+0.0527134
+0.0513686
+0.0500835
+0.0488628
+0.0477116
+0.0466349
+0.045638
+0.0446339
+0.0434062
+0.0422566
+0.0411915
+0.0402137
+0.0393297
+0.0385499
+0.037881
+0.0373247
+0.0368779
+0.0365572
+0.0363658
+0.0363058
+0.036378
+0.0359361
+0.0356024
+0.0353757
+0.0352838
+0.0353278
+0.0355072
+0.0358182
+0.0362352
+0.0367782
+0.0373634
+0.0363738
+0.035492
+0.0347263
+0.0340843
+0.0335313
+0.0331007
+0.0328021
+0.0326001
+0.0325448
+0.0325879
+0.0327095
+0.0329236
+0.033119
+0.0333691
+0.0337584
+0.0342836
+0.0348465
+0.0354692
+0.0361039
+0.0367941
+0.037475
+0.0381271
+0.0385815
+0.0391463
+0.0398237
+0.0406081
+0.0407633
+0.0407015
+0.0407576
+0.040931
+0.0412202
+0.0416229
+0.042124
+0.0427307
+0.0434396
+0.0442437
+0.0451332
+0.0461096
+0.0471676
+0.0483019
+0.0495072
+0.0507784
+0.0521075
+0.0534848
+0.0549149
+0.05639
+0.0579095
+0.0594708
+0.0610708
+0.0627065
+0.0639847
+0.0651666
+0.0663884
+0.0676311
+0.0771775
+0.075328
+0.0734972
+0.0716867
+0.069898
+0.0681327
+0.0663927
+0.0646802
+0.0629973
+0.0613465
+0.0597304
+0.0581519
+0.0566142
+0.0551207
+0.0536614
+0.0522491
+0.050892
+0.0495945
+0.0483615
+0.0471981
+0.0461094
+0.0451009
+0.0441781
+0.0431619
+0.041998
+0.0409183
+0.0399298
+0.0390393
+0.0382537
+0.0375795
+0.0370229
+0.0365816
+0.0362583
+0.0360653
+0.0360049
+0.0360587
+0.0355921
+0.0352557
+0.0350423
+0.0349496
+0.034994
+0.035175
+0.0354906
+0.0359174
+0.0364651
+0.0371341
+0.0368867
+0.0360175
+0.0352632
+0.0346312
+0.0341007
+0.0336774
+0.0333927
+0.0332135
+0.0331592
+0.0332294
+0.0333799
+0.0334262
+0.0335573
+0.0338042
+0.0341886
+0.0347072
+0.0353423
+0.0359501
+0.0364312
+0.0370359
+0.0376417
+0.0381696
+0.0386237
+0.0391878
+0.0398645
+0.0406481
+0.0414024
+0.0413415
+0.0413967
+0.0415675
+0.0418523
+0.042249
+0.0427527
+0.0433506
+0.0440495
+0.0448428
+0.0457205
+0.0466847
+0.04773
+0.0488512
+0.0500432
+0.0512921
+0.0525995
+0.0539641
+0.0553819
+0.0568487
+0.0583609
+0.059915
+0.0615062
+0.0631306
+0.0647884
+0.0660824
+0.0672876
+0.0685275
+0.0767888
+0.0750034
+0.0732306
+0.0714133
+0.0696175
+0.0678449
+0.0660974
+0.064377
+0.062686
+0.0610267
+0.0594019
+0.0578145
+0.0562676
+0.0547646
+0.0532955
+0.0518732
+0.050506
+0.0491984
+0.0479552
+0.0467816
+0.045683
+0.0446649
+0.0437329
+0.0428927
+0.041841
+0.0407573
+0.0397647
+0.0388705
+0.0380814
+0.0374041
+0.0368448
+0.0364014
+0.0360764
+0.0358825
+0.0358217
+0.0358499
+0.0353806
+0.0350422
+0.0348275
+0.0347342
+0.0347788
+0.034961
+0.0352785
+0.0357078
+0.0362587
+0.0369315
+0.0375102
+0.0366557
+0.0359148
+0.0352945
+0.0347918
+0.0343842
+0.0341055
+0.0339502
+0.0339033
+0.0339914
+0.0340138
+0.034002
+0.0341309
+0.0343737
+0.0347518
+0.0352621
+0.0357938
+0.0362564
+0.0367335
+0.0373333
+0.0379344
+0.0383181
+0.0387714
+0.0393416
+0.040015
+0.0407949
+0.0416755
+0.042086
+0.0421402
+0.0423079
+0.0425878
+0.0429777
+0.0434746
+0.0440686
+0.0447475
+0.0455218
+0.0463868
+0.0473373
+0.0483685
+0.0494753
+0.0506526
+0.0518843
+0.0531771
+0.0545274
+0.0559308
+0.0573836
+0.058882
+0.0604228
+0.0620026
+0.0636187
+0.0652683
+0.066949
+0.0682453
+0.0694681
+0.0763291
+0.0745327
+0.072758
+0.0710064
+0.0692799
+0.0675803
+0.0658737
+0.0641473
+0.06245
+0.0607843
+0.0591529
+0.0575586
+0.0560046
+0.0544944
+0.0530176
+0.0515877
+0.0502127
+0.0488972
+0.0476462
+0.0464648
+0.0453586
+0.044333
+0.0433939
+0.0425469
+0.0417978
+0.0407136
+0.03972
+0.0388247
+0.0380346
+0.0373565
+0.0367965
+0.0363525
+0.0360271
+0.0358329
+0.035772
+0.0357744
+0.0353041
+0.0349649
+0.0347497
+0.0346562
+0.034701
+0.0348835
+0.0352017
+0.035632
+0.036184
+0.0368582
+0.0376328
+0.0374098
+0.0366841
+0.036077
+0.0355854
+0.0352063
+0.0349412
+0.0347897
+0.0347583
+0.0346453
+0.0346023
+0.0346979
+0.0348331
+0.035071
+0.0354416
+0.0357072
+0.0360801
+0.0365805
+0.0371627
+0.0377557
+0.0382558
+0.0385857
+0.0390359
+0.0396023
+0.0402713
+0.0410464
+0.0419216
+0.0428911
+0.0429826
+0.043147
+0.0434215
+0.043804
+0.0442916
+0.0448636
+0.0455307
+0.0462919
+0.0471427
+0.0480783
+0.049094
+0.0501847
+0.0513457
+0.0525612
+0.0538378
+0.0551719
+0.0565593
+0.0579964
+0.0594794
+0.061005
+0.0625702
+0.064172
+0.0658077
+0.0674749
+0.0691714
+0.0704643
+0.0759298
+0.0741238
+0.072339
+0.0705771
+0.0688398
+0.067129
+0.0654469
+0.0637956
+0.0621777
+0.0605958
+0.0589841
+0.0573852
+0.0558263
+0.0543104
+0.0528285
+0.0513941
+0.0500138
+0.0486929
+0.0474365
+0.0462498
+0.0451382
+0.0441075
+0.0431635
+0.0423119
+0.0415585
+0.0407877
+0.039796
+0.0389024
+0.0381139
+0.0374372
+0.0368785
+0.0364355
+0.0361108
+0.0359171
+0.0358564
+0.0358329
+0.0353633
+0.0350248
+0.0348099
+0.0347166
+0.0347613
+0.0349435
+0.0352612
+0.0356907
+0.0362418
+0.0369149
+0.0376884
+0.0382745
+0.0375655
+0.0369729
+0.0364934
+0.0361238
+0.0358845
+0.0357439
+0.0354829
+0.0353053
+0.0352631
+0.0353569
+0.0354979
+0.0356259
+0.0358875
+0.0361263
+0.0364902
+0.0369798
+0.0375714
+0.0382516
+0.0386482
+0.0389748
+0.0394205
+0.0399815
+0.0406443
+0.0414123
+0.04228
+0.0432414
+0.0439075
+0.0440685
+0.0443373
+0.0447119
+0.0451898
+0.0457498
+0.0464041
+0.0471512
+0.0479868
+0.0489063
+0.0499051
+0.0509785
+0.0521218
+0.0533196
+0.0545785
+0.0558949
+0.0572648
+0.0586846
+0.0601506
+0.0616597
+0.0632086
+0.0647946
+0.066415
+0.0680674
+0.0697494
+0.071459
+0.0755919
+0.0737776
+0.0719843
+0.0702134
+0.0684669
+0.0667466
+0.0650546
+0.0633931
+0.0617647
+0.0601719
+0.0586178
+0.0571054
+0.0556381
+0.0541996
+0.0527129
+0.0512767
+0.0498954
+0.0485737
+0.0473165
+0.0461292
+0.0450172
+0.0439862
+0.0430392
+0.0421849
+0.0414289
+0.0407767
+0.039992
+0.0391029
+0.0383186
+0.0376455
+0.0370899
+0.0366495
+0.0363267
+0.0361341
+0.0360738
+0.0360178
+0.0355507
+0.0352139
+0.0350074
+0.0349145
+0.034959
+0.0351402
+0.0354561
+0.0358833
+0.0364315
+0.0371012
+0.0378709
+0.03874
+0.0385515
+0.0379742
+0.0375075
+0.0371481
+0.0369153
+0.0365646
+0.0362602
+0.0360557
+0.035937
+0.0359516
+0.036028
+0.0361542
+0.036412
+0.0366478
+0.0370061
+0.037489
+0.0380727
+0.0387715
+0.0391594
+0.0394817
+0.0399218
+0.0404759
+0.0411307
+0.0418898
+0.0427478
+0.0436989
+0.0447372
+0.045077
+0.0453398
+0.0457062
+0.0461738
+0.046722
+0.0473629
+0.0480951
+0.0489146
+0.0498169
+0.0507978
+0.0518527
+0.0529772
+0.0541561
+0.0553959
+0.0566933
+0.0580444
+0.0594456
+0.0608933
+0.0623844
+0.0639158
+0.0654847
+0.0670884
+0.0687246
+0.0703909
+0.0720852
+0.0753163
+0.0734952
+0.0716947
+0.0699166
+0.0681625
+0.0664343
+0.0647341
+0.0630642
+0.061427
+0.0598253
+0.0582619
+0.05674
+0.055263
+0.0538348
+0.0524591
+0.0511403
+0.0498693
+0.0485469
+0.047289
+0.0461009
+0.0449882
+0.0439565
+0.0430089
+0.042154
+0.0413975
+0.0407448
+0.040201
+0.0394243
+0.0386465
+0.0379793
+0.0374286
+0.0369922
+0.0366724
+0.0364817
+0.0364219
+0.0363154
+0.0358521
+0.0355182
+0.0353173
+0.0352399
+0.0352839
+0.0354635
+0.035773
+0.0361905
+0.0367341
+0.0373984
+0.0381764
+0.0390406
+0.0396341
+0.0390728
+0.0386192
+0.0381133
+0.0376394
+0.0372885
+0.036957
+0.0367108
+0.0365942
+0.0366086
+0.0366815
+0.0368055
+0.0370587
+0.0372902
+0.0376426
+0.0381175
+0.0386917
+0.0393795
+0.0397848
+0.0401021
+0.0405355
+0.0410813
+0.0417266
+0.0424751
+0.0433215
+0.0442603
+0.0452856
+0.0460962
+0.0464241
+0.046782
+0.0472389
+0.0477749
+0.0484019
+0.0491186
+0.0499213
+0.0508057
+0.0517679
+0.0528034
+0.0539081
+0.0550671
+0.0562868
+0.0575642
+0.0588953
+0.0602767
+0.0617049
+0.0631768
+0.0646895
+0.06624
+0.0678259
+0.0694447
+0.0710941
+0.0727721
+0.0751036
+0.0732772
+0.0714712
+0.0696874
+0.0679274
+0.066193
+0.0644865
+0.06281
+0.061166
+0.0595572
+0.0579866
+0.0564573
+0.0549728
+0.0535368
+0.0521532
+0.0508265
+0.0495611
+0.0483619
+0.0472339
+0.0461767
+0.0450659
+0.044036
+0.0430902
+0.0422369
+0.0414818
+0.0408305
+0.0402879
+0.0398585
+0.0390946
+0.0384351
+0.0378911
+0.0374569
+0.0371411
+0.0369528
+0.0368938
+0.0367414
+0.0362836
+0.0359537
+0.0357552
+0.0356788
+0.0357223
+0.0358997
+0.0362054
+0.036618
+0.0371554
+0.0378122
+0.0385825
+0.0394536
+0.0403402
+0.0401047
+0.0394131
+0.0388329
+0.0383691
+0.0380262
+0.0377218
+0.0374806
+0.0373664
+0.0373805
+0.0374466
+0.037568
+0.0378161
+0.0380429
+0.0383927
+0.0388594
+0.0394228
+0.0400982
+0.0405176
+0.0408308
+0.0412565
+0.0417929
+0.0424274
+0.0431637
+0.0439969
+0.0449215
+0.0459321
+0.0470231
+0.0474911
+0.0479338
+0.0483798
+0.0489034
+0.049516
+0.0502169
+0.0510022
+0.0518683
+0.0528111
+0.0538266
+0.0549106
+0.0560489
+0.0572477
+0.0585041
+0.0598143
+0.0611749
+0.0625827
+0.0640344
+0.0655273
+0.0670585
+0.0686254
+0.0702258
+0.0718573
+0.0735179
+0.0749543
+0.0731242
+0.0713144
+0.0695265
+0.0677623
+0.0660236
+0.0643126
+0.0626314
+0.0609826
+0.0593689
+0.0577931
+0.0562586
+0.0547687
+0.0533271
+0.051938
+0.0506057
+0.0493346
+0.0481298
+0.0469962
+0.0459392
+0.0449641
+0.0440765
+0.0432816
+0.0424328
+0.0416813
+0.0410331
+0.0404932
+0.040066
+0.0396588
+0.0390089
+0.0384648
+0.0380314
+0.0377205
+0.0375351
+0.037477
+0.0372915
+0.0368405
+0.0365156
+0.0363199
+0.0362334
+0.0362762
+0.0364509
+0.0367555
+0.0370155
+0.0373488
+0.0378064
+0.0383838
+0.0390756
+0.0398759
+0.0407783
+0.0402274
+0.0396591
+0.0392052
+0.0388696
+0.038596
+0.0383602
+0.0382487
+0.0382625
+0.0383027
+0.0384215
+0.0386641
+0.038886
+0.0392286
+0.0396892
+0.0402424
+0.0409041
+0.0413503
+0.041662
+0.0420793
+0.0426053
+0.0432279
+0.0439508
+0.0447694
+0.0456784
+0.0466726
+0.0477467
+0.0484764
+0.0490091
+0.0495914
+0.0501022
+0.0507004
+0.0513851
+0.0521529
+0.0530001
+0.0539231
+0.0549181
+0.055981
+0.0570979
+0.0582752
+0.0595098
+0.0607984
+0.0621375
+0.0635239
+0.0649546
+0.0664268
+0.0679377
+0.0694849
+0.0710658
+0.0726785
+0.0743207
+0.0748688
+0.0730366
+0.0712246
+0.0694344
+0.0676678
+0.0659266
+0.064213
+0.0625291
+0.0608776
+0.059261
+0.0576823
+0.0561447
+0.0546517
+0.053207
+0.0518146
+0.050479
+0.0492047
+0.0479966
+0.0468598
+0.0457997
+0.0448216
+0.043931
+0.0431335
+0.0424281
+0.04181
+0.041299
+0.0408153
+0.0403915
+0.0400831
+0.0396896
+0.0391473
+0.0387216
+0.0384163
+0.0382342
+0.0381772
+0.0379449
+0.0375018
+0.0371827
+0.0368333
+0.0365425
+0.0363814
+0.0363519
+0.0364321
+0.0366401
+0.0369768
+0.037439
+0.0380219
+0.0387202
+0.0395277
+0.0404379
+0.0411424
+0.040587
+0.0401435
+0.0398158
+0.0395722
+0.0393423
+0.0392336
+0.039244
+0.0392626
+0.0393784
+0.0396153
+0.0398318
+0.0401664
+0.0406164
+0.041157
+0.0418043
+0.0422802
+0.0425898
+0.0429981
+0.043513
+0.0441228
+0.0448313
+0.045634
+0.0465262
+0.0475026
+0.0485584
+0.0495391
+0.0500605
+0.0506712
+0.0513615
+0.0519452
+0.0526137
+0.0533638
+0.0541921
+0.0550952
+0.0560693
+0.0571109
+0.0582105
+0.0593657
+0.0605782
+0.0618445
+0.0631614
+0.0645258
+0.0659348
+0.0673855
+0.0688754
+0.070402
+0.0719628
+0.0735558
+0.0751789
+0.0748474
+0.0730146
+0.0712021
+0.0694113
+0.0676441
+0.0659023
+0.064188
+0.0625035
+0.0608513
+0.0592339
+0.0576545
+0.0561162
+0.0546224
+0.0531769
+0.0517837
+0.0504473
+0.0491721
+0.0479632
+0.0468256
+0.0457647
+0.0447858
+0.0438946
+0.0430963
+0.0423904
+0.0417717
+0.0412602
+0.0408599
+0.0405741
+0.0404052
+0.0403389
+0.0399385
+0.0395213
+0.0392222
+0.039033
+0.0386182
+0.0382133
+0.0375515
+0.0370078
+0.0365874
+0.0362946
+0.0361325
+0.0361028
+0.0361835
+0.0363929
+0.0367319
+0.0371971
+0.0377838
+0.0384864
+0.0392987
+0.040214
+0.0412256
+0.0416095
+0.0411771
+0.0408577
+0.0406432
+0.0404194
+0.0403107
+0.0403007
+0.0403188
+0.0404316
+0.0406623
+0.0408733
+0.0411994
+0.0416382
+0.0421658
+0.0427978
+0.0433011
+0.0436059
+0.0440069
+0.0445101
+0.0451064
+0.0457997
+0.0465857
+0.04746
+0.0484176
+0.0494538
+0.0505625
+0.051184
+0.0517816
+0.0524638
+0.0532275
+0.053897
+0.0546295
+0.0554389
+0.056322
+0.0572753
+0.0582953
+0.0593787
+0.0605159
+0.0617058
+0.0629494
+0.0642437
+0.0655856
+0.0669723
+0.068401
+0.0698693
+0.0713746
+0.0729146
+0.0744872
+0.0760904
+0.0748902
+0.0730584
+0.071247
+0.0694574
+0.0676913
+0.0659508
+0.0642378
+0.0625547
+0.0609038
+0.0592879
+0.0577099
+0.0561731
+0.0546809
+0.053237
+0.0518454
+0.0505106
+0.0492371
+0.0480298
+0.0468938
+0.0458345
+0.0448572
+0.0439673
+0.0431703
+0.0424658
+0.0418483
+0.0413377
+0.0409382
+0.0406529
+0.0404844
+0.040434
+0.0403544
+0.0395914
+0.0389369
+0.0383963
+0.0379746
+0.0376758
+0.0374266
+0.0368811
+0.0364592
+0.0361654
+0.0360027
+0.0359729
+0.0360665
+0.0362766
+0.0366167
+0.0370833
+0.0376717
+0.0383764
+0.039191
+0.0401088
+0.041123
+0.0422265
+0.042299
+0.0419881
+0.0417899
+0.0415813
+0.041456
+0.0414463
+0.0414639
+0.0415736
+0.041798
+0.0420033
+0.0423207
+0.042748
+0.043262
+0.0438783
+0.0444066
+0.0447039
+0.0450996
+0.0455907
+0.0461731
+0.0468506
+0.0476193
+0.0484749
+0.0494129
+0.0504286
+0.0515163
+0.0523752
+0.0529593
+0.0536266
+0.0543739
+0.0551982
+0.0559524
+0.056743
+0.057606
+0.0585384
+0.0595368
+0.060598
+0.0617187
+0.0628895
+0.0641102
+0.0653815
+0.0667005
+0.0680645
+0.0694708
+0.0709169
+0.0724004
+0.073919
+0.0754708
+0.0770535
+0.0749969
+0.0731678
+0.0713591
+0.0695724
+0.0678094
+0.0660719
+0.0643622
+0.0626824
+0.061035
+0.0594226
+0.0578483
+0.0563153
+0.0548269
+0.053387
+0.0519995
+0.0506687
+0.0493993
+0.0481944
+0.047059
+0.0459999
+0.0450227
+0.0441326
+0.043335
+0.0426352
+0.0420297
+0.0415214
+0.0411236
+0.0408397
+0.0406719
+0.0406217
+0.0398595
+0.0390869
+0.0384237
+0.0378758
+0.0374483
+0.0371452
+0.0369697
+0.0368714
+0.0364495
+0.0361555
+0.0359928
+0.035963
+0.036059
+0.0362691
+0.0366092
+0.037076
+0.0376645
+0.0383693
+0.039184
+0.040102
+0.0411163
+0.04222
+0.0434063
+0.0431965
+0.0429978
+0.0428048
+0.0426831
+0.0426737
+0.0426908
+0.0427973
+0.0430153
+0.0432148
+0.0435234
+0.043939
+0.0444393
+0.0450395
+0.0455862
+0.0458758
+0.0462675
+0.0467491
+0.0473172
+0.0479785
+0.0487295
+0.0495659
+0.0504836
+0.0514783
+0.0525442
+0.0535065
+0.0542
+0.0548522
+0.0555831
+0.0563897
+0.0572688
+0.0581004
+0.0589435
+0.0598551
+0.0608319
+0.0618709
+0.0629689
+0.0641231
+0.0653238
+0.0665719
+0.0678678
+0.0692088
+0.0705923
+0.0720159
+0.0734772
+0.0749741
+0.0765044
+0.0780662
+0.0751673
+0.0733425
+0.0715382
+0.0697561
+0.0679978
+0.0662653
+0.0645607
+0.0628862
+0.0612442
+0.0596376
+0.0580691
+0.0565411
+0.0550561
+0.0536193
+0.0522349
+0.0509071
+0.0496406
+0.04844
+0.0473105
+0.0462573
+0.0452855
+0.0444007
+0.0436081
+0.0429127
+0.0423112
+0.0418063
+0.0414113
+0.0411293
+0.0409627
+0.0403643
+0.0394801
+0.0386999
+0.03803
+0.0374764
+0.0370442
+0.0367378
+0.0365603
+0.0365105
+0.0365697
+0.0362782
+0.036116
+0.0360863
+0.036182
+0.0363913
+0.0367304
+0.0371956
+0.0377823
+0.0384849
+0.0392972
+0.0402126
+0.0412242
+0.0423251
+0.0435086
+0.0444627
+0.0442697
+0.0441033
+0.0439852
+0.043976
+0.0439926
+0.044096
+0.0443076
+0.0445013
+0.0448011
+0.0452028
+0.045688
+0.046272
+0.0468274
+0.0471094
+0.0474909
+0.0479694
+0.0485333
+0.0491783
+0.0499112
+0.0507281
+0.0516252
+0.0525982
+0.0535296
+0.0542468
+0.0550307
+0.0558894
+0.0568197
+0.0576398
+0.0585001
+0.0594288
+0.060331
+0.0612218
+0.0621772
+0.0631941
+0.0642695
+0.0654007
+0.0665848
+0.0678123
+0.0690849
+0.0704027
+0.0717632
+0.073164
+0.0746029
+0.0760776
+0.0775861
+0.0782919
+0.0753938
+0.0735748
+0.0717766
+0.0700007
+0.0682489
+0.0665232
+0.0648255
+0.0631582
+0.0615228
+0.059921
+0.0583574
+0.0568353
+0.055358
+0.0539292
+0.052553
+0.0512335
+0.0499752
+0.0487829
+0.0476615
+0.0466162
+0.0456521
+0.0447745
+0.0439886
+0.0432994
+0.0427033
+0.0422031
+0.0418118
+0.0415326
+0.0410971
+0.0401096
+0.0392196
+0.0384341
+0.0377595
+0.0372018
+0.0367664
+0.0364577
+0.0362789
+0.0362286
+0.0362883
+0.0364798
+0.036371
+0.0363415
+0.0364365
+0.0366444
+0.0369811
+0.0374432
+0.0380261
+0.0387243
+0.0395317
+0.0404418
+0.0414478
+0.0425429
+0.0437205
+0.0449734
+0.0456113
+0.0454702
+0.0453557
+0.0453468
+0.0453629
+0.0454632
+0.0456546
+0.0458422
+0.0461332
+0.0465256
+0.0469988
+0.0475667
+0.0479735
+0.048268
+0.0486595
+0.0491455
+0.0497235
+0.0503621
+0.0509406
+0.0515075
+0.0521602
+0.0528632
+0.0535289
+0.0542748
+0.0550978
+0.0559945
+0.0569614
+0.0579937
+0.0590536
+0.0601745
+0.061349
+0.0625691
+0.0635695
+0.0645645
+0.0656175
+0.0667258
+0.0678868
+0.0690977
+0.0703492
+0.0716438
+0.0729811
+0.074359
+0.0757751
+0.0771778
+0.0776639
+0.0782084
+0.075678
+0.073866
+0.072075
+0.0703067
+0.0685627
+0.0668451
+0.0651558
+0.0634972
+0.0618708
+0.0602782
+0.0587241
+0.0572117
+0.0557444
+0.0543258
+0.0529599
+0.0516508
+0.050403
+0.049221
+0.0481098
+0.0470745
+0.0461199
+0.0452514
+0.044474
+0.0437924
+0.0432031
+0.0427087
+0.0423221
+0.042046
+0.0409642
+0.0399734
+0.0390804
+0.038292
+0.0376148
+0.037055
+0.0366179
+0.0363079
+0.0361283
+0.0360778
+0.0361378
+0.03633
+0.0366524
+0.0367258
+0.0368198
+0.0370256
+0.0373589
+0.0378164
+0.0383936
+0.0390852
+0.0398853
+0.0407875
+0.0417852
+0.0428717
+0.0440404
+0.0452845
+0.0465813
+0.0468997
+0.0467887
+0.0467801
+0.0467957
+0.0468929
+0.0470619
+0.047244
+0.0475264
+0.0475028
+0.0475177
+0.0476333
+0.0478403
+0.0481356
+0.0485282
+0.0490155
+0.049595
+0.05023
+0.0508152
+0.0513835
+0.0520377
+0.0527575
+0.0535572
+0.0543624
+0.0551841
+0.0560794
+0.0570448
+0.0580769
+0.0591721
+0.0603267
+0.0615327
+0.062792
+0.0640842
+0.0654029
+0.0667672
+0.0680956
+0.0692336
+0.0704214
+0.0716565
+0.0729295
+0.0742437
+0.0755985
+0.0767286
+0.0771553
+0.0776415
+0.0781861
+0.0760243
+0.0742208
+0.0724385
+0.0706793
+0.0689448
+0.0672369
+0.0655577
+0.0639095
+0.0622939
+0.0607124
+0.0591697
+0.057669
+0.0562136
+0.0548072
+0.0534536
+0.0521569
+0.0509214
+0.0497518
+0.0486528
+0.0476292
+0.046686
+0.0458282
+0.0450607
+0.0443881
+0.0438069
+0.0433194
+0.0429383
+0.0420281
+0.0409483
+0.0399571
+0.0390637
+0.0382749
+0.0375975
+0.0370374
+0.0366
+0.0362899
+0.0361102
+0.0360597
+0.0361197
+0.036312
+0.0366346
+0.0370839
+0.037328
+0.037531
+0.0378598
+0.0383113
+0.0388812
+0.0395643
+0.0403549
+0.0412468
+0.0422337
+0.0433089
+0.0444662
+0.0456986
+0.046984
+0.0483339
+0.0482786
+0.0482703
+0.0482785
+0.0483727
+0.0480284
+0.0477424
+0.0475557
+0.0474695
+0.0474844
+0.0476001
+0.0478072
+0.0481028
+0.0484956
+0.0489833
+0.0495631
+0.05018
+0.050784
+0.0513527
+0.0520073
+0.0527275
+0.0535277
+0.0544043
+0.0553539
+0.0562496
+0.0572122
+0.0582412
+0.0593334
+0.0604849
+0.0616878
+0.062944
+0.0642503
+0.0656038
+0.0670016
+0.0684409
+0.0699064
+0.0713866
+0.0729025
+0.0742564
+0.0755487
+0.0764024
+0.0767684
+0.077195
+0.0776809
+0.0782253
+0.0764318
+0.0746381
+0.0728661
+0.0711175
+0.0693939
+0.0676974
+0.0660299
+0.0643938
+0.0627906
+0.0612219
+0.0596924
+0.0582052
+0.0567636
+0.0553711
+0.0540316
+0.0527491
+0.0515279
+0.0503723
+0.0492871
+0.048277
+0.0473467
+0.0465011
+0.0457449
+0.0450826
+0.0445104
+0.0440307
+0.0432523
+0.0421048
+0.0410416
+0.0400529
+0.0391617
+0.038375
+0.0376993
+0.0371408
+0.0367047
+0.0363954
+0.0362163
+0.0361691
+0.0362343
+0.036426
+0.0367476
+0.0371955
+0.0377655
+0.0381556
+0.0384791
+0.0389235
+0.0394845
+0.0401573
+0.0409365
+0.041816
+0.0427897
+0.0438513
+0.0449946
+0.046213
+0.0474845
+0.0488205
+0.0498203
+0.0492775
+0.0487613
+0.0483389
+0.0480128
+0.0477851
+0.0476174
+0.0475313
+0.0475461
+0.0476617
+0.0478686
+0.0481637
+0.048556
+0.0490431
+0.0496223
+0.0502256
+0.0508473
+0.0514153
+0.0520692
+0.0527885
+0.0535877
+0.0544634
+0.055412
+0.0564296
+0.0574626
+0.0584872
+0.0595749
+0.0607218
+0.0619201
+0.0631717
+0.0644734
+0.0658223
+0.0672155
+0.0686504
+0.0701244
+0.071635
+0.0731801
+0.0747574
+0.0761506
+0.0764551
+0.0768209
+0.0772472
+0.0777328
+0.0782768
+0.0768996
+0.0751171
+0.0733567
+0.07162
+0.0699088
+0.0682251
+0.0665708
+0.0649484
+0.0633592
+0.061805
+0.0602903
+0.0588182
+0.0573919
+0.0560151
+0.0546914
+0.0534247
+0.0522193
+0.0510794
+0.0500095
+0.0490143
+0.0480983
+0.0472661
+0.0465223
+0.0458712
+0.0453089
+0.0446581
+0.0434373
+0.0422948
+0.0412365
+0.0402526
+0.0393659
+0.0385833
+0.0379114
+0.037356
+0.0369224
+0.036615
+0.0364369
+0.0363901
+0.0364671
+0.0366576
+0.0369771
+0.0374224
+0.0379889
+0.0386714
+0.0392112
+0.0396473
+0.0401983
+0.0408594
+0.0416254
+0.0424906
+0.0434492
+0.0444951
+0.0456223
+0.0468244
+0.0480796
+0.0493996
+0.0498179
+0.0492214
+0.0487046
+0.0482817
+0.0479553
+0.0477272
+0.047599
+0.0475715
+0.0476448
+0.0478102
+0.0480165
+0.0483107
+0.0487018
+0.0491875
+0.0497649
+0.0503666
+0.0510048
+0.051571
+0.0522229
+0.0529401
+0.0537371
+0.0546104
+0.0555565
+0.0565715
+0.057652
+0.0587943
+0.0598955
+0.0610365
+0.0622287
+0.0634742
+0.0647698
+0.0661127
+0.0674999
+0.0689289
+0.070397
+0.0719019
+0.0734414
+0.0750132
+0.0762558
+0.0765599
+0.0769252
+0.0773509
+0.0778359
+0.0783791
+0.0774266
+0.0756565
+0.0739089
+0.0721855
+0.0704881
+0.0688185
+0.0671789
+0.0655715
+0.0639978
+0.0624594
+0.060961
+0.0595055
+0.0580961
+0.0567364
+0.0554299
+0.0541805
+0.0529923
+0.0518694
+0.0508161
+0.049837
+0.0489364
+0.0481187
+0.0473883
+0.0467493
+0.0461977
+0.0449441
+0.0437313
+0.0425967
+0.0415461
+0.0405697
+0.0396901
+0.0389141
+0.0382479
+0.0376975
+0.0372679
+0.0369634
+0.036787
+0.0367406
+0.0368169
+0.0370056
+0.0373221
+0.0377633
+0.0383248
+0.0390014
+0.0397873
+0.040477
+0.0410168
+0.0416649
+0.0424164
+0.0432658
+0.0442076
+0.045236
+0.0463451
+0.0475289
+0.048766
+0.0500679
+0.0497915
+0.0492555
+0.048739
+0.0483165
+0.0479902
+0.0477624
+0.0476343
+0.0476068
+0.04768
+0.0478535
+0.0481262
+0.0484964
+0.0489453
+0.0494286
+0.0500033
+0.0506021
+0.051157
+0.0517755
+0.0524138
+0.0531297
+0.0539252
+0.0547968
+0.0557409
+0.0567527
+0.0578298
+0.0589686
+0.0601657
+0.0613715
+0.0626125
+0.0638505
+0.0651386
+0.066474
+0.0678539
+0.0692755
+0.0707365
+0.0722343
+0.0737668
+0.0753319
+0.0764237
+0.0767271
+0.0770916
+0.0775164
+0.0780004
+0.0785425
+0.0780116
+0.0762551
+0.0745215
+0.0728126
+0.0711301
+0.069476
+0.0678523
+0.0662612
+0.0647043
+0.0631831
+0.0617023
+0.0602647
+0.0588735
+0.0575321
+0.0562441
+0.0550132
+0.0538433
+0.0527386
+0.051703
+0.050741
+0.0498568
+0.0490544
+0.0483382
+0.0477118
+0.0466084
+0.0453344
+0.0441323
+0.0430083
+0.041968
+0.0410016
+0.0401315
+0.0393641
+0.0387057
+0.0381619
+0.0377376
+0.0374369
+0.0372627
+0.037217
+0.0372923
+0.0374786
+0.0377911
+0.0382269
+0.0387817
+0.0394505
+0.0402276
+0.0411069
+0.0419339
+0.042568
+0.0433038
+0.0441362
+0.0450598
+0.0460691
+0.0471587
+0.0483225
+0.0495399
+0.0502846
+0.0496604
+0.0491261
+0.0486845
+0.0483383
+0.0480734
+0.0478978
+0.0477701
+0.0477426
+0.0478156
+0.0479886
+0.0482606
+0.0486298
+0.0490842
+0.0495848
+0.0501757
+0.0507537
+0.0512835
+0.0519004
+0.0525548
+0.0532689
+0.0540624
+0.0549318
+0.0558736
+0.056883
+0.0579577
+0.0590941
+0.0602887
+0.0615381
+0.062839
+0.0641884
+0.0655401
+0.0669052
+0.0682763
+0.0696894
+0.0711418
+0.0726313
+0.0741556
+0.0757126
+0.0766367
+0.0769393
+0.0772831
+0.0776828
+0.0781308
+0.0786366
+0.0786532
+0.0769114
+0.0751929
+0.0734997
+0.0718333
+0.0701957
+0.068589
+0.0670154
+0.0654764
+0.0639737
+0.0625115
+0.061093
+0.0597211
+0.0583992
+0.0571308
+0.0559194
+0.0547689
+0.0536831
+0.0526662
+0.0517221
+0.0508549
+0.0500686
+0.049367
+0.048414
+0.0470869
+0.0458261
+0.0446373
+0.0435263
+0.0424987
+0.0415447
+0.0406861
+0.0399295
+0.0392806
+0.0387448
+0.0383269
+0.0380309
+0.0378595
+0.0378144
+0.0378885
+0.0380719
+0.0383797
+0.0388088
+0.0393554
+0.0400146
+0.040781
+0.0416486
+0.0426113
+0.0435627
+0.0442819
+0.0450963
+0.0460006
+0.0469882
+0.0480537
+0.0491935
+0.0503971
+0.0502504
+0.0496258
+0.0490911
+0.0486492
+0.0483028
+0.0480376
+0.0478682
+0.0477986
+0.0478294
+0.0479604
+0.048163
+0.0484344
+0.0488023
+0.0492649
+0.0498117
+0.0504
+0.0509754
+0.0515029
+0.0521172
+0.0527865
+0.0534975
+0.0542876
+0.0551535
+0.0560916
+0.0570972
+0.0581679
+0.0593002
+0.0604907
+0.061736
+0.0630329
+0.0643782
+0.065769
+0.0671999
+0.0686599
+0.0701284
+0.0716119
+0.0730918
+0.0746067
+0.0761545
+0.0767578
+0.0770358
+0.0773749
+0.0777742
+0.0782275
+0.0787327
+0.0793502
+0.077624
+0.0759217
+0.074245
+0.0725957
+0.0709758
+0.0693871
+0.0678321
+0.066312
+0.0648286
+0.0633862
+0.0619877
+0.0606361
+0.0593346
+0.0580865
+0.0568955
+0.0557652
+0.0546992
+0.0537015
+0.0527759
+0.0519263
+0.0511565
+0.0503456
+0.0489729
+0.0476613
+0.0464161
+0.0452428
+0.0441471
+0.0431342
+0.0421946
+0.0413496
+0.0406053
+0.0399673
+0.0394409
+0.0390305
+0.0387398
+0.0385716
+0.0385273
+0.0386001
+0.0387801
+0.0390823
+0.0395038
+0.0400409
+0.040689
+0.0414429
+0.042297
+0.0432452
+0.0442816
+0.0453339
+0.0461261
+0.0470071
+0.0479721
+0.049016
+0.050134
+0.051022
+0.0503116
+0.0496878
+0.0491538
+0.0487125
+0.0483665
+0.0481017
+0.0479325
+0.047863
+0.0478938
+0.0480246
+0.0482269
+0.048498
+0.0488654
+0.0493274
+0.0498815
+0.0504971
+0.0511787
+0.051758
+0.0524224
+0.0531076
+0.0538144
+0.0545999
+0.0554609
+0.0563939
+0.0573942
+0.0584594
+0.0595862
+0.0607711
+0.0620108
+0.0633021
+0.0646418
+0.066027
+0.0674549
+0.0689205
+0.070413
+0.0719412
+0.0735029
+0.0750961
+0.0766565
+0.0769066
+0.0771841
+0.0775225
+0.077921
+0.078368
+0.0788723
+0.080101
+0.0783913
+0.0767061
+0.0750469
+0.0734157
+0.0718142
+0.0702445
+0.0687089
+0.0672087
+0.0657455
+0.0643237
+0.062946
+0.0616154
+0.060335
+0.0591081
+0.0579381
+0.0568285
+0.0557828
+0.0548048
+0.0538982
+0.0530666
+0.0523135
+0.0509775
+0.0496222
+0.0483283
+0.0471008
+0.0459449
+0.0448664
+0.0438699
+0.0429463
+0.0421164
+0.0413858
+0.0407601
+0.040244
+0.0398418
+0.0395571
+0.0393923
+0.039349
+0.0394203
+0.0395965
+0.0398925
+0.0403056
+0.0408321
+0.0414678
+0.0422078
+0.0430467
+0.0439788
+0.0449984
+0.0460995
+0.0472295
+0.0480903
+0.049034
+0.0500558
+0.051151
+0.0511762
+0.050468
+0.0498461
+0.0493138
+0.048874
+0.0485291
+0.0482652
+0.0480966
+0.0480274
+0.0480581
+0.0481884
+0.04839
+0.0486602
+0.0490263
+0.0494869
+0.0500392
+0.0506529
+0.0513494
+0.0519636
+0.0526255
+0.0533691
+0.0541912
+0.0549978
+0.0558526
+0.0567792
+0.0577728
+0.0588312
+0.059951
+0.0611288
+0.0623614
+0.0636455
+0.0649782
+0.0663564
+0.0677774
+0.0692385
+0.070735
+0.0722565
+0.0738115
+0.0753982
+0.0769021
+0.0771174
+0.077383
+0.0777087
+0.0780944
+0.0785394
+0.0790426
+0.0809042
+0.0792119
+0.0775444
+0.0759036
+0.0742912
+0.072709
+0.0711591
+0.0696436
+0.068164
+0.0667217
+0.0653212
+0.0639649
+0.062656
+0.0613973
+0.0601921
+0.0590435
+0.0579551
+0.0569301
+0.0559722
+0.0550848
+0.0542714
+0.0530853
+0.0516946
+0.0503586
+0.0490841
+0.0478759
+0.0467393
+0.0456756
+0.0446818
+0.0437752
+0.0429612
+0.0422452
+0.0416324
+0.0411272
+0.0407337
+0.0404552
+0.0402941
+0.0402517
+0.0403233
+0.0404957
+0.0407851
+0.0411892
+0.0417046
+0.0423273
+0.0430525
+0.0438752
+0.0447901
+0.0457916
+0.0468741
+0.0480322
+0.0492472
+0.0501691
+0.0511682
+0.0522105
+0.0514233
+0.0507186
+0.0500999
+0.0495703
+0.0491327
+0.0487897
+0.0485272
+0.0483595
+0.0482907
+0.0483212
+0.0484508
+0.0486513
+0.04892
+0.0492843
+0.0497424
+0.0502919
+0.0509026
+0.0515957
+0.0522603
+0.0529185
+0.0536581
+0.0544758
+0.0553681
+0.0563269
+0.0572457
+0.0582314
+0.0592816
+0.0603931
+0.0615625
+0.0627865
+0.0640621
+0.0653863
+0.066756
+0.0681687
+0.0696216
+0.0711124
+0.0726337
+0.0741809
+0.0757598
+0.0771419
+0.0773445
+0.0776085
+0.0779332
+0.0783178
+0.0787615
+0.0792633
+0.0817582
+0.0800839
+0.0784351
+0.0768133
+0.0752203
+0.0736581
+0.0721286
+0.0706339
+0.0691755
+0.0677548
+0.066376
+0.0650418
+0.0637549
+0.0625184
+0.0613352
+0.0602084
+0.0591414
+0.0581374
+0.0571997
+0.0563316
+0.0552847
+0.0538634
+0.0524933
+0.0511782
+0.0499246
+0.0487373
+0.0476135
+0.046558
+0.0455834
+0.0446951
+0.0438982
+0.0431977
+0.0425986
+0.042105
+0.0417208
+0.0414489
+0.0412916
+0.0412503
+0.0413229
+0.0414911
+0.0417737
+0.0421683
+0.0426719
+0.0432806
+0.0439901
+0.0447956
+0.0456921
+0.0466742
+0.0477367
+0.0488744
+0.0500821
+0.0513548
+0.0523488
+0.0525442
+0.0517621
+0.0510621
+0.0504475
+0.0499216
+0.0494872
+0.0491466
+0.048886
+0.0487195
+0.0486512
+0.0486815
+0.0488102
+0.0490092
+0.049276
+0.0496376
+0.0500926
+0.0506383
+0.0512448
+0.0519334
+0.0526466
+0.0533
+0.0540344
+0.0548464
+0.0557295
+0.0566705
+0.0576793
+0.0587526
+0.0598089
+0.0609108
+0.0620704
+0.0632846
+0.0645504
+0.0658647
+0.0672248
+0.0686278
+0.0700712
+0.0715526
+0.0730666
+0.0746048
+0.0761749
+0.0774281
+0.07763
+0.077893
+0.0782165
+0.0785997
+0.0790418
+0.0795419
+0.0826615
+0.0810059
+0.0793762
+0.077774
+0.0762011
+0.0746594
+0.0731509
+0.0716775
+0.0702407
+0.068842
+0.0674854
+0.0661736
+0.0649092
+0.0636951
+0.0625341
+0.0614294
+0.060384
+0.059401
+0.0584835
+0.0575617
+0.0561126
+0.0547129
+0.0533665
+0.0520771
+0.0508457
+0.0496691
+0.0485595
+0.0475251
+0.0465707
+0.0457016
+0.0449225
+0.0442383
+0.0436534
+0.0431719
+0.0427973
+0.0425323
+0.042379
+0.0423387
+0.0424117
+0.0425761
+0.0428515
+0.0432363
+0.0437276
+0.0443218
+0.0450149
+0.0458024
+0.0466795
+0.0476413
+0.0486827
+0.0497987
+0.0509845
+0.0522353
+0.0535466
+0.0529665
+0.0521907
+0.0514965
+0.0508872
+0.0503659
+0.0499353
+0.0495978
+0.0493396
+0.0491747
+0.049107
+0.049137
+0.0492645
+0.0494617
+0.049726
+0.0500844
+0.0505353
+0.0510763
+0.0516777
+0.0523606
+0.0529769
+0.053609
+0.0543221
+0.0551131
+0.0559788
+0.0569156
+0.0579202
+0.058989
+0.0601091
+0.061285
+0.0625155
+0.0637976
+0.0651088
+0.066412
+0.0677611
+0.0691532
+0.0705859
+0.0720567
+0.0735621
+0.0750903
+0.0766505
+0.0777749
+0.0779759
+0.0782378
+0.0785598
+0.0789414
+0.0793816
+0.0798669
+0.0836124
+0.081976
+0.080366
+0.0787839
+0.0772316
+0.0757109
+0.0742237
+0.0727721
+0.0713574
+0.069981
+0.0686469
+0.0673577
+0.0661159
+0.0649244
+0.0637858
+0.0627031
+0.0616793
+0.0607173
+0.05982
+0.0584287
+0.0570017
+0.0556244
+0.0543005
+0.0530341
+0.0518282
+0.0506715
+0.0495844
+0.0485717
+0.0476384
+0.046789
+0.0460284
+0.0453609
+0.0447907
+0.0443215
+0.0439566
+0.0436987
+0.0435495
+0.0435103
+0.0435813
+0.043743
+0.0440111
+0.0443858
+0.0448645
+0.0454439
+0.0461201
+0.0468891
+0.0477462
+0.0486869
+0.0497064
+0.0508
+0.0519629
+0.0531907
+0.0541751
+0.0533834
+0.0526666
+0.0520196
+0.0514165
+0.0509006
+0.0504746
+0.0501408
+0.0498854
+0.0497222
+0.0496553
+0.049685
+0.0498111
+0.0500061
+0.0502676
+0.0506221
+0.0510683
+0.0516037
+0.052199
+0.0527719
+0.0533291
+0.0539571
+0.0546656
+0.0554518
+0.0563122
+0.0572436
+0.0582425
+0.0593056
+0.0604197
+0.0615897
+0.0628143
+0.0640903
+0.0654149
+0.0667851
+0.0681981
+0.0696514
+0.0711425
+0.0726235
+0.0741183
+0.0756361
+0.0771853
+0.0781784
+0.078375
+0.0786237
+0.0789324
+0.0792964
+0.0797161
+0.0801936
+0.0846094
+0.0829926
+0.0814027
+0.0798412
+0.0783099
+0.0768105
+0.075345
+0.0739154
+0.072523
+0.0711692
+0.0698578
+0.0685913
+0.0673723
+0.0662034
+0.0650872
+0.0640265
+0.0630242
+0.062083
+0.0608145
+0.0593639
+0.0579599
+0.0566059
+0.0553056
+0.0540627
+0.0528804
+0.0517473
+0.0506832
+0.049693
+0.0487811
+0.047952
+0.0472101
+0.0465595
+0.0460042
+0.0455475
+0.0451925
+0.0449417
+0.0447967
+0.0447586
+0.0448276
+0.0449846
+0.0452453
+0.0456099
+0.0460759
+0.0466402
+0.0472993
+0.0480494
+0.0488862
+0.0498054
+0.0508025
+0.0518729
+0.0530124
+0.0542164
+0.0545905
+0.0538049
+0.0530938
+0.0524647
+0.0519108
+0.0514359
+0.0510508
+0.0507573
+0.0505203
+0.0503592
+0.0502931
+0.0503224
+0.0504469
+0.0506395
+0.0508978
+0.0512479
+0.0516887
+0.0522177
+0.0527262
+0.0531985
+0.053756
+0.0543912
+0.0550942
+0.0558743
+0.0567283
+0.057653
+0.0586449
+0.0597008
+0.0608077
+0.0619704
+0.0631876
+0.0644563
+0.0657735
+0.0671364
+0.0685422
+0.0699883
+0.0714723
+0.072992
+0.0745448
+0.0761263
+0.0777373
+0.07856
+0.078759
+0.0790183
+0.0793263
+0.0796857
+0.0801034
+0.0805786
+0.0856508
+0.0840541
+0.0824846
+0.080944
+0.0794339
+0.0779562
+0.0765126
+0.0751052
+0.0737353
+0.0724041
+0.0711155
+0.0698719
+0.0686756
+0.0675292
+0.0664353
+0.0653965
+0.0644155
+0.063262
+0.0617913
+0.0603642
+0.058984
+0.0576541
+0.0563779
+0.0551592
+0.054001
+0.052892
+0.0518514
+0.0508839
+0.0499937
+0.0491851
+0.0484621
+0.0478285
+0.0472881
+0.0468439
+0.0464989
+0.0462551
+0.0461142
+0.0460772
+0.0461442
+0.0462966
+0.04655
+0.0469044
+0.0473577
+0.0479069
+0.0485488
+0.0492799
+0.0500961
+0.0509935
+0.0519678
+0.0530147
+0.0541301
+0.0553098
+0.05509
+0.0543116
+0.0536072
+0.0529748
+0.0524181
+0.0519479
+0.0515665
+0.051276
+0.0510779
+0.0509707
+0.0509419
+0.0510072
+0.0511663
+0.0513586
+0.0516133
+0.0519586
+0.0523934
+0.0528621
+0.0532432
+0.0537109
+0.0542631
+0.0548973
+0.0556059
+0.0563789
+0.0572254
+0.0581421
+0.0591259
+0.0601733
+0.0612717
+0.0624257
+0.0636342
+0.0648941
+0.0662026
+0.0675569
+0.0689541
+0.0703918
+0.0718675
+0.0733789
+0.0749237
+0.0764974
+0.0781007
+0.0790006
+0.0791985
+0.0794563
+0.0797735
+0.080133
+0.080547
+0.0810148
+0.0867351
+0.0851586
+0.0836099
+0.0820904
+0.0806018
+0.0791459
+0.0777244
+0.0763394
+0.074992
+0.0736836
+0.0724177
+0.0711968
+0.0700232
+0.0688992
+0.0678274
+0.0668103
+0.0657644
+0.0642762
+0.0628293
+0.0614264
+0.0600706
+0.0587652
+0.0575137
+0.0563196
+0.0551858
+0.0541012
+0.0530843
+0.0521397
+0.0512713
+0.0504831
+0.049779
+0.0491624
+0.0486368
+0.0482051
+0.0478698
+0.0476331
+0.0474963
+0.0474603
+0.0475254
+0.0476732
+0.0479193
+0.0482637
+0.0487043
+0.0492385
+0.0498633
+0.0505753
+0.051371
+0.0522465
+0.0531978
+0.054221
+0.0553121
+0.0564283
+0.0556117
+0.0548704
+0.0541952
+0.0535617
+0.0530112
+0.0525463
+0.0521693
+0.0518821
+0.0516863
+0.0515804
+0.0515519
+0.0516164
+0.0517737
+0.051994
+0.0522628
+0.0526215
+0.0530683
+0.0534676
+0.0538444
+0.0543069
+0.0548531
+0.0554805
+0.0561864
+0.0569633
+0.0578012
+0.058709
+0.0596834
+0.0607212
+0.0618098
+0.062954
+0.0641525
+0.0654025
+0.066701
+0.0680453
+0.0694327
+0.0708607
+0.0723268
+0.0738289
+0.0753645
+0.0769291
+0.0785236
+0.0794991
+0.0796957
+0.079952
+0.0802557
+0.0806062
+0.0810144
+0.081475
+0.0878606
+0.0863047
+0.0847769
+0.0832787
+0.0818118
+0.0803777
+0.0789785
+0.0776158
+0.076291
+0.0750052
+0.073762
+0.0725637
+0.0714126
+0.0703108
+0.0692609
+0.0682651
+0.0668125
+0.0653482
+0.0639255
+0.0625472
+0.0612163
+0.0599359
+0.0587093
+0.05754
+0.0564309
+0.0553707
+0.0543776
+0.0534558
+0.0526092
+0.0518413
+0.0511559
+0.0505561
+0.0500451
+0.0496256
+0.0493001
+0.0490702
+0.0489374
+0.0489025
+0.0489657
+0.0491089
+0.0493479
+0.0496824
+0.0501105
+0.0506299
+0.0512377
+0.0519309
+0.0527062
+0.0535598
+0.0544882
+0.0554876
+0.0565543
+0.0568767
+0.0560746
+0.0553395
+0.0546824
+0.054106
+0.053613
+0.0532058
+0.052856
+0.0525726
+0.0523794
+0.0522749
+0.0522467
+0.0523104
+0.0524588
+0.0526654
+0.0529308
+0.053285
+0.0537263
+0.0541408
+0.054527
+0.0549838
+0.0555234
+0.0561433
+0.0568409
+0.0576135
+0.0584535
+0.0593513
+0.0603153
+0.0613425
+0.0624203
+0.0635534
+0.0647409
+0.0659797
+0.0672671
+0.0686003
+0.0699767
+0.0713938
+0.0728492
+0.0743407
+0.0755542
+0.0766441
+0.0777804
+0.0789612
+0.0801844
+0.0804434
+0.0806992
+0.0810134
+0.0813854
+0.0818144
+0.0890257
+0.0874906
+0.0859839
+0.0845071
+0.0830618
+0.0816498
+0.0802727
+0.0789324
+0.07763
+0.0763667
+0.0751461
+0.0739703
+0.0728413
+0.0717615
+0.0707331
+0.0693944
+0.0679151
+0.0664752
+0.0650771
+0.0637237
+0.0624178
+0.0611626
+0.0599611
+0.0588167
+0.0577322
+0.0566964
+0.0557269
+0.0548279
+0.0540027
+0.053255
+0.052588
+0.0520047
+0.0515081
+0.0511007
+0.0507845
+0.0505614
+0.0504326
+0.0503987
+0.05046
+0.0505988
+0.0508308
+0.0511556
+0.0515715
+0.0520763
+0.0526674
+0.0533421
+0.0540971
+0.0549291
+0.0558348
+0.0568105
+0.0578528
+0.0574019
+0.0566103
+0.0558844
+0.0552337
+0.0546632
+0.0541753
+0.0537722
+0.053456
+0.053226
+0.0530702
+0.0530045
+0.0530063
+0.053069
+0.0532145
+0.0534182
+0.0536799
+0.0540292
+0.0544645
+0.0548841
+0.055288
+0.0557386
+0.0562709
+0.0568827
+0.0575714
+0.0583343
+0.0591661
+0.0600533
+0.0610062
+0.0620219
+0.0630973
+0.064222
+0.0653973
+0.066624
+0.0678992
+0.0692202
+0.0705845
+0.0716443
+0.0725947
+0.073598
+0.0746522
+0.075755
+0.0769045
+0.0780985
+0.079335
+0.0806122
+0.081101
+0.0814136
+0.0817838
+0.0822107
+0.0902291
+0.0887148
+0.0872292
+0.0857738
+0.0843503
+0.0829602
+0.0816052
+0.0802871
+0.0790071
+0.0777662
+0.0765679
+0.0754142
+0.0743072
+0.073249
+0.072017
+0.0705247
+0.0690697
+0.0676543
+0.0662811
+0.0649528
+0.0636721
+0.0624421
+0.0612657
+0.0601462
+0.0590861
+0.0580746
+0.0571285
+0.0562518
+0.0554479
+0.0547199
+0.0540709
+0.0535038
+0.0530213
+0.0526255
+0.0523186
+0.0521021
+0.0519771
+0.0519442
+0.0520037
+0.0521382
+0.0523634
+0.0526787
+0.0530827
+0.0535732
+0.0541481
+0.0548045
+0.0555396
+0.0563504
+0.0572335
+0.0581858
+0.0588546
+0.0580001
+0.0572168
+0.0564987
+0.0558552
+0.0552911
+0.0548088
+0.0544104
+0.054098
+0.0538707
+0.0537167
+0.0536518
+0.0536764
+0.0537902
+0.0539927
+0.0542491
+0.0545068
+0.0548509
+0.0552797
+0.0557036
+0.0561241
+0.0565682
+0.0570928
+0.0576959
+0.058375
+0.0591275
+0.0599484
+0.0608241
+0.0617651
+0.0627685
+0.0638314
+0.0649508
+0.0661199
+0.0673334
+0.068201
+0.0689949
+0.0698485
+0.0707594
+0.0717223
+0.0727377
+0.0738042
+0.0749195
+0.0760816
+0.0772883
+0.0785376
+0.0798275
+0.081156
+0.0818706
+0.0822387
+0.0826633
+0.091469
+0.0899756
+0.0885112
+0.0870773
+0.0856754
+0.0843071
+0.0829741
+0.0816781
+0.0804203
+0.0792015
+0.0780253
+0.0768935
+0.0758081
+0.074676
+0.0731724
+0.0717042
+0.0702735
+0.0688829
+0.0675347
+0.0662315
+0.0649761
+0.0637712
+0.0626198
+0.0615249
+0.0604891
+0.0595015
+0.0585784
+0.0577238
+0.0569406
+0.056232
+0.0556007
+0.0550493
+0.0545804
+0.0541961
+0.0538981
+0.053688
+0.0535666
+0.0535348
+0.0535925
+0.0537229
+0.0539414
+0.0542476
+0.0546399
+0.0551166
+0.0556755
+0.0563141
+0.0570298
+0.0578197
+0.0586807
+0.0596099
+0.0595189
+0.0586741
+0.0578999
+0.0571904
+0.0565548
+0.0559977
+0.0555215
+0.0551283
+0.05482
+0.0545957
+0.0544438
+0.0543798
+0.054404
+0.0545162
+0.0547161
+0.0550025
+0.0553742
+0.0557466
+0.0561685
+0.0565961
+0.057018
+0.0574693
+0.0579859
+0.0585798
+0.0592487
+0.0599902
+0.0607995
+0.0616631
+0.0625915
+0.0635819
+0.0646314
+0.0652915
+0.0659104
+0.0665876
+0.0673292
+0.0681333
+0.0689976
+0.0699198
+0.0708978
+0.0719292
+0.0730114
+0.0741393
+0.0753135
+0.0765323
+0.0777937
+0.0790958
+0.0804364
+0.0818137
+0.0827119
+0.0831229
+0.0927442
+0.0912716
+0.0898283
+0.0884158
+0.0870355
+0.0856889
+0.0843777
+0.0831037
+0.0818677
+0.0806708
+0.0795163
+0.078406
+0.0773418
+0.0758542
+0.0743744
+0.0729303
+0.0715243
+0.0701584
+0.0688352
+0.0675571
+0.0663268
+0.0651469
+0.0640202
+0.0629497
+0.0619378
+0.0609737
+0.0600733
+0.0592402
+0.0584774
+0.0577876
+0.0571734
+0.0566374
+0.0561818
+0.0558085
+0.0555191
+0.0553151
+0.0551974
+0.0551664
+0.0552225
+0.0553489
+0.055561
+0.0558583
+0.0562394
+0.0567027
+0.0572461
+0.0578674
+0.0585641
+0.0593335
+0.0601729
+0.0610793
+0.0602556
+0.0594213
+0.058657
+0.0579567
+0.0573296
+0.0567801
+0.0563105
+0.0559229
+0.0556189
+0.0553979
+0.0552482
+0.0551851
+0.0552089
+0.0553196
+0.0555166
+0.0557989
+0.0561653
+0.056614
+0.0571276
+0.0575581
+0.057979
+0.0584247
+0.0589467
+0.0595311
+0.0601895
+0.0609196
+0.0617167
+0.0625676
+0.063001
+0.0634168
+0.0639049
+0.0644632
+0.0650818
+0.0657674
+0.0665183
+0.067332
+0.0682064
+0.0691392
+0.0701281
+0.0711707
+0.0722646
+0.0734076
+0.0745932
+0.0758237
+0.0770967
+0.0784103
+0.0797624
+0.0811512
+0.0825747
+0.0835409
+0.0940531
+0.0926013
+0.0911791
+0.0897878
+0.0884289
+0.0871039
+0.0858143
+0.0845619
+0.0833476
+0.0821722
+0.0810391
+0.07995
+0.0785659
+0.0770758
+0.0756199
+0.0742001
+0.0728186
+0.0714775
+0.0701791
+0.068926
+0.0677205
+0.0665653
+0.0654631
+0.0644165
+0.0634284
+0.0624881
+0.0616098
+0.0607978
+0.0600547
+0.0593832
+0.0587858
+0.0582646
+0.0578218
+0.0574591
+0.0571782
+0.0569801
+0.0568658
+0.0568358
+0.0568849
+0.0570072
+0.0572132
+0.0575019
+0.0578722
+0.0583225
+0.058851
+0.0594555
+0.0601338
+0.0608834
+0.0617017
+0.0619518
+0.0610621
+0.0602389
+0.0594851
+0.0587947
+0.0581766
+0.0576352
+0.0571726
+0.0567909
+0.0564916
+0.056274
+0.0561266
+0.0560645
+0.056088
+0.0561969
+0.0563908
+0.0566688
+0.0570296
+0.0574715
+0.0579778
+0.058561
+0.0590058
+0.0594438
+0.0599587
+0.0605286
+0.0609939
+0.0614046
+0.0615978
+0.061868
+0.0622143
+0.0626352
+0.0631294
+0.0636911
+0.0643171
+0.0650108
+0.0657703
+0.0665932
+0.0674772
+0.0684199
+0.069419
+0.0704721
+0.0715738
+0.0727234
+0.07392
+0.0751614
+0.0764455
+0.0777701
+0.0791332
+0.0805328
+0.081967
+0.0834341
+0.0953943
+0.0939633
+0.092562
+0.0911918
+0.0898541
+0.0885505
+0.0872823
+0.0860512
+0.0848582
+0.0837041
+0.082592
+0.0813038
+0.0798048
+0.0783383
+0.0769063
+0.0755107
+0.0741536
+0.0728371
+0.0715634
+0.0703349
+0.069154
+0.0680232
+0.066945
+0.0659219
+0.0649518
+0.0640324
+0.0631756
+0.062384
+0.0616601
+0.0610063
+0.060425
+0.0599181
+0.0594876
+0.0591352
+0.0588623
+0.0586699
+0.058559
+0.0585299
+0.0585746
+0.0586934
+0.0588935
+0.0591741
+0.059534
+0.0599718
+0.0604858
+0.0610742
+0.0617347
+0.0624651
+0.0632629
+0.0628129
+0.0619355
+0.0611241
+0.0603813
+0.0596992
+0.0590906
+0.0585576
+0.0581024
+0.0577268
+0.0574324
+0.0572199
+0.0570756
+0.0570146
+0.0570377
+0.0571448
+0.0573355
+0.0576089
+0.0579639
+0.0583987
+0.0586298
+0.0587027
+0.0588571
+0.0590924
+0.0594076
+0.0598014
+0.0602724
+0.0606727
+0.0608682
+0.0611417
+0.061492
+0.0619178
+0.0624177
+0.0629858
+0.0636186
+0.0643199
+0.0650875
+0.0659189
+0.0668118
+0.0677638
+0.0687711
+0.0698294
+0.0709396
+0.0720993
+0.0733061
+0.0745577
+0.075852
+0.0771868
+0.07856
+0.0799696
+0.0814138
+0.0828907
+0.0967666
+0.0953562
+0.0939756
+0.0926263
+0.0913097
+0.0900271
+0.08878
+0.08757
+0.0863979
+0.0852647
+0.0840668
+0.0825598
+0.081084
+0.0796411
+0.078233
+0.0768614
+0.0755286
+0.0742365
+0.0729872
+0.0717831
+0.0706264
+0.0695195
+0.0684649
+0.0674649
+0.0665085
+0.0656109
+0.064775
+0.0640032
+0.0632978
+0.0626611
+0.0620953
+0.0616021
+0.0611835
+0.0608409
+0.0605757
+0.0603888
+0.060281
+0.0602527
+0.0602966
+0.060412
+0.0606064
+0.0608791
+0.061229
+0.0616548
+0.0621549
+0.0627276
+0.0633708
+0.0640826
+0.0646648
+0.0637377
+0.0628732
+0.0620741
+0.0613349
+0.0606636
+0.0600647
+0.0595405
+0.0590928
+0.0587236
+0.0584342
+0.0582258
+0.0580918
+0.0580318
+0.0580545
+0.0581598
+0.0583471
+0.0582115
+0.0580534
+0.0579706
+0.0579616
+0.0580354
+0.0581916
+0.0584296
+0.0587483
+0.0591465
+0.0596226
+0.0600119
+0.0602095
+0.0604859
+0.06084
+0.0612704
+0.0617756
+0.0623494
+0.0629887
+0.063697
+0.0644719
+0.0653111
+0.0662123
+0.0671684
+0.0681812
+0.0692485
+0.0703679
+0.0715368
+0.072753
+0.074014
+0.0753176
+0.0766617
+0.0780441
+0.0794629
+0.0809161
+0.082402
+0.0981686
+0.0967786
+0.0954186
+0.09409
+0.0927941
+0.0915323
+0.0903061
+0.0891168
+0.0879653
+0.0868524
+0.0853384
+0.0838543
+0.0824016
+0.0809822
+0.0795978
+0.0782502
+0.0769414
+0.0756734
+0.0744483
+0.0732682
+0.0721353
+0.0710519
+0.0700204
+0.0690349
+0.0681001
+0.0672238
+0.0664082
+0.0656556
+0.0649682
+0.064348
+0.0637971
+0.0633172
+0.06291
+0.0625769
+0.062319
+0.0621374
+0.0620326
+0.0620051
+0.0620482
+0.0621603
+0.0623493
+0.0626143
+0.0629546
+0.0633688
+0.0638555
+0.064413
+0.0650396
+0.0657333
+0.0656366
+0.0647234
+0.0638723
+0.0630804
+0.0623509
+0.0616907
+0.0611019
+0.0605866
+0.0601468
+0.059784
+0.0594998
+0.0592952
+0.0591708
+0.0590744
+0.0585919
+0.058188
+0.0578642
+0.0576219
+0.0574622
+0.0573785
+0.0573694
+0.0574439
+0.0576017
+0.0578421
+0.0581641
+0.0585663
+0.0590471
+0.0594245
+0.0596241
+0.0599032
+0.0602607
+0.0606952
+0.0612051
+0.0617843
+0.0624293
+0.0631439
+0.0639255
+0.0647672
+0.065671
+0.0666346
+0.0676554
+0.0687309
+0.0698585
+0.0710358
+0.0722604
+0.0735299
+0.0748419
+0.0761944
+0.0775852
+0.0790122
+0.0804735
+0.0819674
+0.099599
+0.0982292
+0.0968896
+0.0955815
+0.0943061
+0.0930648
+0.091859
+0.0906901
+0.0895588
+0.0881383
+0.0866467
+0.0851854
+0.0837558
+0.0823597
+0.0809989
+0.079675
+0.07839
+0.0771458
+0.0759444
+0.0747879
+0.0736784
+0.0726181
+0.0716062
+0.0706375
+0.0697242
+0.0688686
+0.0680727
+0.0673387
+0.0666686
+0.0660644
+0.0655279
+0.0650608
+0.0646646
+0.0643406
+0.0640898
+0.0639132
+0.0638113
+0.0637846
+0.0638269
+0.0639359
+0.0641196
+0.0643774
+0.0647084
+0.0651114
+0.0655852
+0.0661281
+0.0667387
+0.0674148
+0.0666663
+0.0657674
+0.0649269
+0.0641436
+0.0634264
+0.0627775
+0.062199
+0.0616929
+0.061261
+0.0609048
+0.0604897
+0.0597782
+0.0591393
+0.0585755
+0.0580888
+0.0576813
+0.0573547
+0.0571102
+0.0569491
+0.0568646
+0.0568555
+0.0569307
+0.0570899
+0.0573324
+0.0576572
+0.058063
+0.0585479
+0.0589128
+0.0591141
+0.0593956
+0.0597561
+0.0601943
+0.0607084
+0.0612923
+0.0619379
+0.062653
+0.0634357
+0.0642836
+0.0651941
+0.0661646
+0.0671925
+0.0682753
+0.0694104
+0.0705951
+0.0718272
+0.0731042
+0.0744238
+0.0757837
+0.0771819
+0.0786162
+0.0800848
+0.0815858
+0.101057
+0.0997068
+0.0983873
+0.0970994
+0.0958442
+0.0946231
+0.0934374
+0.0922884
+0.0909575
+0.0894593
+0.0879901
+0.0865514
+0.0851448
+0.0837719
+0.0824343
+0.0811339
+0.0798723
+0.0786516
+0.0774736
+0.0763403
+0.0752537
+0.0742158
+0.073218
+0.072271
+0.0713786
+0.070543
+0.0697663
+0.0690503
+0.068397
+0.0678082
+0.0672856
+0.0668308
+0.0664451
+0.0661298
+0.0658858
+0.065714
+0.065615
+0.065589
+0.0656304
+0.0657365
+0.0659152
+0.066166
+0.066488
+0.0668803
+0.0673417
+0.0678706
+0.0684656
+0.068694
+0.0677512
+0.066866
+0.0660331
+0.0652631
+0.0645583
+0.0639208
+0.0633528
+0.0626433
+0.0617238
+0.0608692
+0.0600824
+0.059366
+0.0587227
+0.0581548
+0.0576646
+0.0572541
+0.056925
+0.0566787
+0.0565163
+0.0564312
+0.056422
+0.0564978
+0.0566582
+0.0569026
+0.0572298
+0.0576385
+0.058127
+0.058478
+0.0586808
+0.0589644
+0.0593276
+0.0597689
+0.0602835
+0.0608605
+0.0615101
+0.0622301
+0.063018
+0.0638714
+0.0647877
+0.0657642
+0.0667983
+0.0678874
+0.0690288
+0.0702201
+0.0714586
+0.0727421
+0.0740681
+0.0754344
+0.076839
+0.0782796
+0.0797544
+0.0812614
+0.102536
+0.101206
+0.0999066
+0.0986385
+0.0974032
+0.0962018
+0.0950358
+0.0937943
+0.0922901
+0.0908139
+0.089367
+0.0879509
+0.086567
+0.085217
+0.0839025
+0.0826251
+0.0813867
+0.080189
+0.0790339
+0.0779233
+0.0768591
+0.0758374
+0.0748593
+0.0739333
+0.0730613
+0.0722451
+0.0714869
+0.0707883
+0.0701512
+0.0695772
+0.069068
+0.068625
+0.0682495
+0.0679425
+0.0677051
+0.067538
+0.0674416
+0.0674163
+0.067457
+0.0675601
+0.067734
+0.0679781
+0.0682916
+0.0686736
+0.069123
+0.0696384
+0.0702184
+0.0698161
+0.0688886
+0.0680112
+0.0671925
+0.0664359
+0.0654471
+0.0643582
+0.0633138
+0.0623272
+0.0614029
+0.0605438
+0.0597527
+0.0590323
+0.0583853
+0.0578141
+0.057321
+0.056908
+0.0565769
+0.0563291
+0.0561657
+0.0560801
+0.0560708
+0.056147
+0.0563085
+0.0565544
+0.0568836
+0.0572948
+0.0577862
+0.0581075
+0.0583116
+0.058597
+0.0589624
+0.0594064
+0.059924
+0.0605044
+0.0611578
+0.0618818
+0.0626742
+0.0635322
+0.0644533
+0.0654348
+0.0664741
+0.0675684
+0.0687151
+0.0699117
+0.0711556
+0.0724444
+0.0737758
+0.0751474
+0.0765572
+0.078003
+0.079483
+0.0809951
+0.104041
+0.10273
+0.10145
+0.100202
+0.0989858
+0.0978039
+0.0966472
+0.0951377
+0.0936551
+0.0922007
+0.0907759
+0.0893821
+0.0880207
+0.0866934
+0.0854016
+0.084147
+0.0829313
+0.0817562
+0.0806236
+0.0795352
+0.0784916
+0.0774851
+0.0765282
+0.0756226
+0.0747702
+0.073973
+0.0732326
+0.0725508
+0.0719293
+0.0713696
+0.0708733
+0.0704417
+0.0700759
+0.069777
+0.0695458
+0.0693831
+0.0692893
+0.0692647
+0.0693046
+0.069405
+0.0695743
+0.069812
+0.0701173
+0.0704894
+0.0709272
+0.0714296
+0.0715532
+0.070414
+0.0693253
+0.0682895
+0.0673091
+0.0663653
+0.0652182
+0.0641254
+0.0630772
+0.0620868
+0.0611589
+0.0602963
+0.0595019
+0.0587785
+0.0581286
+0.0575549
+0.0570595
+0.0566446
+0.056312
+0.056063
+0.0558988
+0.0558128
+0.0558034
+0.0558801
+0.0560423
+0.0562893
+0.0566201
+0.0570332
+0.0575268
+0.0578175
+0.0580226
+0.0583094
+0.0586766
+0.0591228
+0.0596428
+0.0602259
+0.0608823
+0.0616096
+0.0624054
+0.0632671
+0.064192
+0.0651774
+0.0662207
+0.0673191
+0.06847
+0.0696708
+0.070919
+0.072212
+0.0735476
+0.0749234
+0.0763373
+0.0777872
+0.0792712
+0.0807873
+0.105569
+0.104278
+0.103017
+0.101788
+0.100591
+0.0994284
+0.0980004
+0.096512
+0.0950509
+0.0936182
+0.0922153
+0.0908436
+0.0895045
+0.0881994
+0.08693
+0.0856978
+0.0845044
+0.0833516
+0.0822409
+0.0811742
+0.0801446
+0.0791592
+0.0782227
+0.077337
+0.0765037
+0.0757247
+0.0750016
+0.0743361
+0.0737296
+0.0731837
+0.0726998
+0.0722791
+0.0719226
+0.0716314
+0.0714063
+0.0712478
+0.0711564
+0.0711325
+0.0711717
+0.0712695
+0.0714344
+0.0716658
+0.0719633
+0.0723259
+0.0727527
+0.0726139
+0.0714245
+0.0702832
+0.0691924
+0.0681547
+0.0671723
+0.0662121
+0.0650623
+0.0639669
+0.062916
+0.061923
+0.0609926
+0.0601276
+0.059331
+0.0586054
+0.0579537
+0.0573782
+0.0568813
+0.0564651
+0.0561313
+0.0558815
+0.0557157
+0.0556202
+0.0556108
+0.0556877
+0.0558504
+0.0560983
+0.0564302
+0.0568447
+0.0573399
+0.0576094
+0.0578152
+0.058103
+0.0584715
+0.0589193
+0.0594411
+0.0600261
+0.0606847
+0.0614143
+0.0622126
+0.063077
+0.0640046
+0.0649929
+0.0660391
+0.0671405
+0.0682944
+0.0694982
+0.0707494
+0.0720455
+0.0733841
+0.0747629
+0.0761798
+0.0776327
+0.0791195
+0.0806385
+0.107121
+0.105849
+0.104607
+0.103396
+0.102218
+0.100877
+0.0993835
+0.0979162
+0.0964763
+0.0950651
+0.0936839
+0.092334
+0.0910168
+0.0897337
+0.0884863
+0.0872761
+0.0861046
+0.0849734
+0.0838842
+0.0828346
+0.0818229
+0.080858
+0.0799414
+0.0790749
+0.0782602
+0.0774988
+0.0767924
+0.0761425
+0.0755506
+0.075018
+0.0745459
+0.0741357
+0.0737882
+0.0735044
+0.073285
+0.0731306
+0.0730416
+0.0730182
+0.0730568
+0.0731521
+0.0733127
+0.0735383
+0.0738282
+0.0741817
+0.0737758
+0.0725408
+0.0713518
+0.0702106
+0.0691184
+0.0680793
+0.0670956
+0.0661311
+0.0649799
+0.0638708
+0.0628166
+0.061822
+0.0608901
+0.0600236
+0.0592256
+0.0584987
+0.0578457
+0.0572691
+0.0567713
+0.0563543
+0.0560199
+0.0557696
+0.0556029
+0.0555071
+0.0554977
+0.0555747
+0.0557378
+0.0559862
+0.0563188
+0.0567341
+0.0572303
+0.057484
+0.0576904
+0.0579788
+0.0583481
+0.0587967
+0.0593196
+0.0599059
+0.0605657
+0.0612968
+0.0620966
+0.0629625
+0.0638918
+0.0648818
+0.0659298
+0.067033
+0.0681887
+0.0693944
+0.0706474
+0.0719453
+0.0732857
+0.0746664
+0.0760851
+0.0775397
+0.0790283
+0.080549
+0.108695
+0.107441
+0.106218
+0.105026
+0.103766
+0.102268
+0.100795
+0.0993487
+0.0979299
+0.09654
+0.0951802
+0.0938518
+0.0925562
+0.0912948
+0.090069
+0.0888803
+0.0877303
+0.0866203
+0.0855521
+0.0845163
+0.083525
+0.0825799
+0.0816827
+0.0808349
+0.080038
+0.0792938
+0.0786035
+0.0779687
+0.0773907
+0.0768708
+0.0764103
+0.0760101
+0.0756712
+0.0753945
+0.0751806
+0.0750301
+0.0749434
+0.0749206
+0.0749585
+0.0750513
+0.0752079
+0.0754278
+0.0757105
+0.075047
+0.0737682
+0.0725332
+0.071344
+0.0702026
+0.0691104
+0.0680711
+0.0670873
+0.0661227
+0.064959
+0.0638476
+0.062793
+0.061798
+0.0608657
+0.0599989
+0.0592005
+0.0584733
+0.0578201
+0.0572432
+0.0567452
+0.0563279
+0.0559934
+0.055743
+0.0555762
+0.0554804
+0.055471
+0.055548
+0.0557112
+0.0559597
+0.0562924
+0.0567079
+0.0572043
+0.0574421
+0.0576485
+0.0579371
+0.0583067
+0.0587557
+0.0592789
+0.0598656
+0.0605259
+0.0612574
+0.0620577
+0.0629242
+0.0638541
+0.0648446
+0.0658932
+0.066997
+0.0681533
+0.0693596
+0.0706132
+0.0719118
+0.0732528
+0.0746341
+0.0760534
+0.0775086
+0.0789978
+0.080519
+0.110289
+0.109054
+0.107849
+0.106667
+0.105165
+0.103687
+0.102234
+0.100809
+0.0994106
+0.0980416
+0.0967029
+0.0953958
+0.0941214
+0.0928813
+0.0916767
+0.0905092
+0.0893801
+0.0882909
+0.0872365
+0.0862209
+0.0852494
+0.0843236
+0.0834451
+0.0826154
+0.0818359
+0.0811081
+0.0804334
+0.0798132
+0.0792487
+0.0787411
+0.0782915
+0.077901
+0.0775703
+0.0773004
+0.0770918
+0.0769451
+0.0768605
+0.0768383
+0.0768756
+0.0769661
+0.0771188
+0.0773333
+0.0764227
+0.0751035
+0.0738257
+0.0725916
+0.0714034
+0.070263
+0.0691717
+0.0681334
+0.0671505
+0.0661739
+0.06501
+0.0638995
+0.0628457
+0.0618516
+0.0609201
+0.0600541
+0.0592565
+0.05853
+0.0578774
+0.0573011
+0.0568035
+0.0563868
+0.0560526
+0.0558024
+0.0556358
+0.0555401
+0.0555307
+0.0556077
+0.0557707
+0.0560189
+0.0563513
+0.0567664
+0.0572622
+0.0574836
+0.0576899
+0.0579783
+0.0583476
+0.0587963
+0.0593192
+0.0599054
+0.0605653
+0.0612964
+0.0620962
+0.0629621
+0.0638914
+0.0648814
+0.0659294
+0.0670326
+0.0681883
+0.069394
+0.070647
+0.071945
+0.0732854
+0.0746661
+0.0760848
+0.0775394
+0.079028
+0.0805487
+0.111904
+0.110687
+0.1095
+0.108073
+0.10659
+0.105132
+0.1037
+0.102294
+0.100917
+0.0995689
+0.098251
+0.0969647
+0.0957112
+0.094492
+0.0933082
+0.0921613
+0.0910527
+0.0899812
+0.0889429
+0.087947
+0.0869947
+0.0860878
+0.0852275
+0.0844152
+0.0836525
+0.0829407
+0.082281
+0.0816748
+0.0811232
+0.0806275
+0.0801885
+0.0798072
+0.0794845
+0.0792211
+0.0790176
+0.0788744
+0.0787919
+0.0787703
+0.0788069
+0.0788952
+0.0790442
+0.0778973
+0.0765409
+0.0752238
+0.0739481
+0.072716
+0.0715299
+0.0703916
+0.0693023
+0.068266
+0.067285
+0.0662964
+0.0651347
+0.0640264
+0.0629747
+0.0619827
+0.0610532
+0.0601891
+0.0593933
+0.0586685
+0.0580174
+0.0574425
+0.0569462
+0.0565305
+0.0561971
+0.0559476
+0.0557815
+0.055686
+0.0556766
+0.0557534
+0.055916
+0.0561636
+0.0564951
+0.0569091
+0.0574038
+0.0575987
+0.0578046
+0.0580924
+0.058461
+0.0589088
+0.059434
+0.0600252
+0.0606838
+0.0614135
+0.0622118
+0.0630761
+0.0640038
+0.0649921
+0.0660383
+0.0671397
+0.0682936
+0.0694974
+0.0707486
+0.0720448
+0.0733834
+0.0747622
+0.0761791
+0.077632
+0.0791189
+0.0806378
+0.113538
+0.112338
+0.110991
+0.109504
+0.108041
+0.106603
+0.105191
+0.103805
+0.102448
+0.10112
+0.0998231
+0.0985573
+0.0973243
+0.0961255
+0.0949621
+0.0938355
+0.0927469
+0.0916889
+0.0906701
+0.0896933
+0.0887598
+0.0878711
+0.0870284
+0.0862332
+0.0854867
+0.0847902
+0.0841451
+0.0835524
+0.0830133
+0.0825289
+0.0821
+0.0817277
+0.0814126
+0.0811555
+0.0809568
+0.0808171
+0.0807366
+0.0807154
+0.0807515
+0.0808377
+0.0794655
+0.0780748
+0.0767215
+0.0754075
+0.074135
+0.0729061
+0.0717231
+0.0705879
+0.0695017
+0.0684684
+0.0674904
+0.0664909
+0.0653327
+0.0642277
+0.0631795
+0.0621907
+0.0612643
+0.0604033
+0.0596103
+0.0588882
+0.0582396
+0.0576669
+0.0571725
+0.0567585
+0.0564265
+0.056178
+0.0560125
+0.0559174
+0.0559081
+0.0559845
+0.0561464
+0.056393
+0.0567232
+0.0571356
+0.0576283
+0.0577903
+0.0579955
+0.0582825
+0.0586498
+0.0590962
+0.0596198
+0.0602174
+0.0608739
+0.0616013
+0.0623972
+0.063259
+0.064184
+0.0651696
+0.066213
+0.0673115
+0.0684626
+0.0696635
+0.0709118
+0.0722049
+0.0735406
+0.0749166
+0.0763306
+0.0777807
+0.0792648
+0.080781
+0.115191
+0.113919
+0.112428
+0.11096
+0.109516
+0.108098
+0.106705
+0.10534
+0.104003
+0.102695
+0.101418
+0.100172
+0.0989597
+0.0977809
+0.0966375
+0.0955305
+0.0944566
+0.0934167
+0.092417
+0.0914588
+0.0905436
+0.0896725
+0.0888469
+0.0880681
+0.0873373
+0.0866557
+0.0860245
+0.0854449
+0.0849178
+0.0844443
+0.0840252
+0.0836615
+0.0833537
+0.0831026
+0.0829086
+0.0827721
+0.0826935
+0.0826729
+0.0825773
+0.0811217
+0.0796997
+0.0783132
+0.0769641
+0.0756543
+0.074386
+0.0731614
+0.0719825
+0.0708515
+0.0697694
+0.0687401
+0.067766
+0.0667568
+0.0656033
+0.0645029
+0.0634592
+0.0624749
+0.0615528
+0.0606958
+0.0599067
+0.0591882
+0.0585429
+0.0579733
+0.0574815
+0.0570697
+0.0567395
+0.0564924
+0.0563278
+0.0562333
+0.056224
+0.0563
+0.056461
+0.0567063
+0.0570347
+0.0574448
+0.0579349
+0.058064
+0.0582683
+0.0585539
+0.0589196
+0.0593639
+0.0598851
+0.0604758
+0.0611295
+0.0618539
+0.0626466
+0.063505
+0.0644265
+0.0654084
+0.0664481
+0.0675428
+0.06869
+0.069887
+0.0711313
+0.0724206
+0.0737524
+0.0751245
+0.0765347
+0.0779809
+0.0794612
+0.0809738
+0.116855
+0.115361
+0.113889
+0.11244
+0.111015
+0.109616
+0.108243
+0.106898
+0.10558
+0.104293
+0.103035
+0.101809
+0.100616
+0.099457
+0.0983331
+0.0972442
+0.0961846
+0.0951635
+0.0941824
+0.0932424
+0.0923448
+0.0914909
+0.0906818
+0.0899189
+0.0892033
+0.0885361
+0.0879184
+0.0873513
+0.0868358
+0.0863728
+0.0859632
+0.0856076
+0.0853069
+0.0850615
+0.084872
+0.0847387
+0.0846619
+0.0843432
+0.0828607
+0.0814101
+0.0799933
+0.0786119
+0.077268
+0.0759635
+0.0747005
+0.073481
+0.0723068
+0.0711794
+0.0701024
+0.069078
+0.0681088
+0.0670932
+0.0659455
+0.064851
+0.063813
+0.0628342
+0.0619174
+0.0610656
+0.0602813
+0.0595673
+0.0589262
+0.0583603
+0.0578718
+0.0574628
+0.0571349
+0.0568895
+0.0567261
+0.0566322
+0.056623
+0.0566985
+0.0568584
+0.0571019
+0.057428
+0.0578353
+0.0582973
+0.0584187
+0.0586217
+0.0589055
+0.0592691
+0.0597108
+0.060229
+0.0608121
+0.0614622
+0.0621828
+0.0629713
+0.0638254
+0.0647423
+0.0657195
+0.0667543
+0.0678441
+0.0689862
+0.0701782
+0.0714175
+0.0727016
+0.0740284
+0.0753954
+0.0768007
+0.078242
+0.0797175
+0.0812252
+0.118302
+0.116826
+0.115372
+0.113943
+0.112537
+0.111157
+0.109804
+0.108477
+0.107179
+0.105911
+0.104673
+0.103466
+0.102293
+0.101153
+0.100048
+0.098972
+0.097931
+0.0969284
+0.0959653
+0.0950429
+0.0941625
+0.0933252
+0.0925322
+0.0917847
+0.0910837
+0.0904304
+0.0898257
+0.0892708
+0.0887664
+0.0883135
+0.0879129
+0.0875653
+0.0872713
+0.0870315
+0.0868463
+0.086716
+0.0861843
+0.0846773
+0.0832008
+0.0817562
+0.0803455
+0.0789703
+0.0776326
+0.0763331
+0.0750746
+0.0738595
+0.0726902
+0.0715689
+0.0704978
+0.0694793
+0.0685158
+0.067499
+0.0663584
+0.0652708
+0.0642395
+0.0632673
+0.0623569
+0.0615112
+0.0607327
+0.0600241
+0.0593879
+0.0588264
+0.0583418
+0.0579361
+0.0576109
+0.0573676
+0.0572055
+0.0571124
+0.0571033
+0.0571781
+0.0573367
+0.0575782
+0.0579016
+0.0583056
+0.0587323
+0.0588527
+0.0590543
+0.0593361
+0.059697
+0.0601356
+0.0606502
+0.061225
+0.0618708
+0.0625866
+0.0633701
+0.0642189
+0.0651303
+0.0661017
+0.0671306
+0.0682144
+0.0693504
+0.0705362
+0.0717693
+0.0730473
+0.0743679
+0.0757288
+0.077128
+0.0785633
+0.0800329
+0.0815348
+0.119771
+0.118313
+0.116879
+0.115467
+0.114081
+0.11272
+0.111385
+0.110078
+0.108799
+0.10755
+0.106331
+0.105143
+0.103988
+0.102867
+0.101777
+0.100718
+0.0996951
+0.0987104
+0.0977648
+0.0968596
+0.0959958
+0.0951747
+0.0943972
+0.0936646
+0.0929778
+0.0923378
+0.0917458
+0.0912025
+0.0907089
+0.0902657
+0.0898738
+0.0895338
+0.0892463
+0.0890118
+0.0888307
+0.0880959
+0.0865668
+0.0850666
+0.0835969
+0.0821593
+0.080754
+0.0793842
+0.0780519
+0.076759
+0.0755076
+0.0742996
+0.0731374
+0.072023
+0.0709588
+0.069947
+0.0689899
+0.067973
+0.0668405
+0.0657609
+0.0647374
+0.0637728
+0.0628698
+0.062031
+0.0612591
+0.0605567
+0.0599261
+0.0593697
+0.0588896
+0.0584877
+0.0581656
+0.0579246
+0.0577641
+0.0576719
+0.0576629
+0.057737
+0.057894
+0.0581332
+0.0584535
+0.0588538
+0.0592451
+0.0593646
+0.0595644
+0.0598437
+0.0602016
+0.0606365
+0.061144
+0.0617129
+0.0623536
+0.063064
+0.0638417
+0.0646842
+0.0655891
+0.0665539
+0.0675759
+0.0686526
+0.0697816
+0.0709601
+0.072186
+0.0734568
+0.0747701
+0.0761238
+0.0775159
+0.0789441
+0.0804067
+0.0819018
+0.121262
+0.119823
+0.118406
+0.117013
+0.115645
+0.114303
+0.112987
+0.111698
+0.110438
+0.109208
+0.108007
+0.106839
+0.105702
+0.104599
+0.103522
+0.102481
+0.101476
+0.100508
+0.09958
+0.0986914
+0.0978439
+0.0970383
+0.0962759
+0.0955577
+0.0948846
+0.0942576
+0.0936777
+0.0931456
+0.0926624
+0.0922286
+0.0918451
+0.0915124
+0.0912312
+0.0910018
+0.0900735
+0.0885243
+0.0870023
+0.0855082
+0.0840447
+0.0826133
+0.0812158
+0.079854
+0.0785296
+0.0772447
+0.0760013
+0.0748013
+0.0736469
+0.0725404
+0.0714839
+0.0704796
+0.0695299
+0.0685139
+0.0673904
+0.0663198
+0.0653051
+0.064349
+0.0634541
+0.0626232
+0.0618587
+0.0611631
+0.0605389
+0.0599882
+0.0595131
+0.0591154
+0.0587967
+0.0585583
+0.0583995
+0.0583084
+0.0582994
+0.0583728
+0.0585281
+0.0587647
+0.0590816
+0.0594776
+0.0598338
+0.0599521
+0.0601499
+0.0604266
+0.0607811
+0.0612119
+0.0617103
+0.0622741
+0.0629091
+0.0636133
+0.0643843
+0.0652198
+0.0661174
+0.0670746
+0.0680888
+0.0691575
+0.0702784
+0.0714488
+0.0726664
+0.0739289
+0.075234
+0.0765795
+0.0779634
+0.0793836
+0.0808383
+0.0823255
+0.122774
+0.121353
+0.119954
+0.118579
+0.11723
+0.115905
+0.114608
+0.113338
+0.112096
+0.110884
+0.109702
+0.108552
+0.107433
+0.106343
+0.105284
+0.10426
+0.103272
+0.102322
+0.10141
+0.100538
+0.0997057
+0.0989154
+0.0981676
+0.0974632
+0.0968034
+0.0961889
+0.0956207
+0.0950996
+0.0946263
+0.0942016
+0.0938261
+0.0935005
+0.0932252
+0.0921059
+0.0905432
+0.0890008
+0.087486
+0.0860003
+0.0845453
+0.0831225
+0.0817337
+0.0803807
+0.0790652
+0.0777891
+0.0765545
+0.0753633
+0.0742177
+0.0731198
+0.0720718
+0.0710759
+0.0701342
+0.06912
+0.0680065
+0.0669457
+0.0659406
+0.0649939
+0.0641081
+0.0632857
+0.0625293
+0.0618413
+0.061224
+0.0606795
+0.0602098
+0.0598168
+0.0595019
+0.0592663
+0.0591094
+0.0590193
+0.0590105
+0.059083
+0.0592364
+0.0594702
+0.0597834
+0.0601748
+0.0604962
+0.0606132
+0.0608089
+0.0610825
+0.0614332
+0.0618595
+0.0623486
+0.0629066
+0.0635353
+0.0642326
+0.0649963
+0.0658241
+0.0667135
+0.0676623
+0.0686678
+0.0697277
+0.0708394
+0.0720007
+0.0732092
+0.0744625
+0.0757584
+0.0770948
+0.0784696
+0.0798808
+0.0813265
+0.082805
+0.124307
+0.122902
+0.121522
+0.120165
+0.118833
+0.117527
+0.116248
+0.114996
+0.113772
+0.112578
+0.111414
+0.110282
+0.109179
+0.108103
+0.107061
+0.106054
+0.105084
+0.10415
+0.103254
+0.102397
+0.101581
+0.100805
+0.100071
+0.0993806
+0.0987335
+0.0981312
+0.0975742
+0.0970636
+0.0965999
+0.0961839
+0.0958162
+0.0954974
+0.0941922
+0.0926169
+0.0910608
+0.0895273
+0.0880215
+0.0865451
+0.0850994
+0.083686
+0.0823068
+0.0809633
+0.0796574
+0.078391
+0.077166
+0.0759844
+0.0748483
+0.0737598
+0.072721
+0.071734
+0.0708012
+0.0697896
+0.068687
+0.0676369
+0.0666422
+0.0657056
+0.0648295
+0.0640164
+0.0632687
+0.0625888
+0.0619789
+0.0614411
+0.0609774
+0.0605893
+0.0602784
+0.0600459
+0.0598911
+0.0598022
+0.0597934
+0.0598649
+0.0600164
+0.0602471
+0.0605563
+0.0609427
+0.0612298
+0.0613453
+0.0615387
+0.0618092
+0.0621557
+0.0625765
+0.0630565
+0.0636083
+0.0642302
+0.06492
+0.0656757
+0.066495
+0.0673756
+0.0683151
+0.0693112
+0.0703614
+0.0714633
+0.0726146
+0.073813
+0.0750562
+0.076342
+0.0776684
+0.0790332
+0.0804346
+0.0818705
+0.0833393
+0.125858
+0.124472
+0.123109
+0.12177
+0.120455
+0.119167
+0.117906
+0.116671
+0.115466
+0.114289
+0.113143
+0.112028
+0.110937
+0.109879
+0.108854
+0.107864
+0.106909
+0.105991
+0.105111
+0.10427
+0.103468
+0.102707
+0.101987
+0.101309
+0.100674
+0.100084
+0.0995377
+0.0990371
+0.0985828
+0.0981752
+0.097815
+0.096333
+0.0947426
+0.0931766
+0.0916279
+0.090104
+0.088608
+0.0871415
+0.0857059
+0.0843027
+0.0829337
+0.0816005
+0.080305
+0.079049
+0.0778343
+0.076663
+0.0755371
+0.0744587
+0.0734298
+0.0724525
+0.071529
+0.0705209
+0.0694299
+0.0683912
+0.0674077
+0.0664819
+0.0656161
+0.0648129
+0.0640745
+0.0634032
+0.0628013
+0.0622706
+0.0618131
+0.0614303
+0.0611236
+0.0608943
+0.0607417
+0.060654
+0.0606454
+0.0607159
+0.0608652
+0.0610928
+0.0613977
+0.0617789
+0.0620199
+0.062134
+0.0623249
+0.062592
+0.0629342
+0.0633504
+0.0638318
+0.064377
+0.0649915
+0.0656733
+0.0664204
+0.0672307
+0.0681018
+0.0690314
+0.0700173
+0.071057
+0.0721483
+0.0732889
+0.0744764
+0.0757087
+0.0769837
+0.0782991
+0.0796532
+0.0810438
+0.0824691
+0.0839275
+0.127428
+0.126059
+0.124713
+0.123391
+0.122095
+0.120824
+0.11958
+0.118363
+0.117175
+0.116016
+0.114886
+0.113785
+0.112711
+0.111669
+0.11066
+0.109687
+0.108748
+0.107846
+0.106981
+0.106155
+0.105367
+0.10462
+0.103913
+0.103248
+0.102625
+0.102046
+0.10151
+0.10102
+0.100574
+0.100151
+0.0985247
+0.0969207
+0.0953402
+0.0937835
+0.0922435
+0.0907299
+0.0892445
+0.0877886
+0.0863637
+0.0849714
+0.0836133
+0.0822912
+0.0810067
+0.0797617
+0.0785581
+0.0773978
+0.0762827
+0.075215
+0.0741965
+0.0732295
+0.0723159
+0.071312
+0.0702334
+0.0692067
+0.068235
+0.0673205
+0.0664657
+0.0656728
+0.0649442
+0.0642821
+0.0636884
+0.0631652
+0.0627141
+0.0623369
+0.0620348
+0.0618088
+0.0616584
+0.0615721
+0.0615636
+0.0616331
+0.0617802
+0.0620044
+0.0623048
+0.0626805
+0.0628755
+0.0629881
+0.0631764
+0.0634399
+0.0637776
+0.0641883
+0.0646706
+0.0652102
+0.0658169
+0.0664903
+0.0672283
+0.0680289
+0.0688899
+0.0698091
+0.0707841
+0.0718128
+0.0728928
+0.0740218
+0.0751978
+0.0764185
+0.0776818
+0.0789856
+0.0803281
+0.0817072
+0.0831212
+0.0845683
+0.129014
+0.127661
+0.126333
+0.125028
+0.123749
+0.122495
+0.121268
+0.120068
+0.118897
+0.117755
+0.116643
+0.115556
+0.114498
+0.113473
+0.112481
+0.111523
+0.1106
+0.109713
+0.108863
+0.108051
+0.107278
+0.106543
+0.10585
+0.105197
+0.104586
+0.104017
+0.103492
+0.103011
+0.102401
+0.100764
+0.0991478
+0.0975542
+0.095984
+0.0944362
+0.0929067
+0.0914041
+0.0899298
+0.0884852
+0.0870717
+0.0856909
+0.0843444
+0.0830339
+0.0817611
+0.0805278
+0.0793358
+0.078187
+0.0770834
+0.0760268
+0.0750194
+0.0740632
+0.07316
+0.072161
+0.0710953
+0.0700812
+0.0691218
+0.0682192
+0.0673758
+0.0665938
+0.0658753
+0.0652226
+0.0646376
+0.0641221
+0.0636779
+0.0633064
+0.0630089
+0.0627865
+0.0626384
+0.0625534
+0.0625451
+0.0626135
+0.0627583
+0.062979
+0.0632748
+0.0636447
+0.063795
+0.0639059
+0.0640915
+0.0643513
+0.0646842
+0.0650892
+0.0655649
+0.0661055
+0.0667041
+0.0673686
+0.0680971
+0.0688877
+0.0697381
+0.0706462
+0.0716098
+0.0726268
+0.0736948
+0.0748118
+0.0759755
+0.0771839
+0.0784349
+0.0797264
+0.0810566
+0.0824235
+0.0838255
+0.0852606
+0.130617
+0.129281
+0.127969
+0.126682
+0.125419
+0.124182
+0.122972
+0.121789
+0.120635
+0.119509
+0.118414
+0.117342
+0.1163
+0.115291
+0.114314
+0.113372
+0.112464
+0.111592
+0.110757
+0.109958
+0.109198
+0.108477
+0.107796
+0.107155
+0.106555
+0.105997
+0.105482
+0.104695
+0.103048
+0.101421
+0.0998152
+0.0982316
+0.0966693
+0.0951318
+0.0936148
+0.0921238
+0.0906612
+0.0892284
+0.0878268
+0.0864581
+0.0851238
+0.0838254
+0.0825648
+0.0813437
+0.0801638
+0.0790271
+0.0779354
+0.0768906
+0.0758946
+0.0749495
+0.0740571
+0.0730659
+0.0720135
+0.0710126
+0.0700659
+0.0691756
+0.068344
+0.0675732
+0.0668653
+0.0662223
+0.0656462
+0.0651387
+0.0647015
+0.0643359
+0.0640432
+0.0638244
+0.0636787
+0.0635951
+0.0635869
+0.0636542
+0.0637966
+0.0640137
+0.0643048
+0.0646688
+0.0647755
+0.0648847
+0.0650676
+0.0653234
+0.0656514
+0.0660505
+0.0665193
+0.0670565
+0.0676506
+0.0683059
+0.0690246
+0.0698046
+0.0706439
+0.0715406
+0.0724923
+0.0734971
+0.0745527
+0.075657
+0.0768079
+0.0780034
+0.0792414
+0.08052
+0.0818373
+0.0831914
+0.0845806
+0.0860031
+0.132237
+0.130918
+0.129622
+0.128351
+0.127105
+0.125885
+0.124692
+0.123525
+0.122387
+0.121278
+0.120197
+0.11914
+0.118115
+0.117121
+0.11616
+0.115233
+0.11434
+0.113482
+0.112661
+0.111876
+0.111129
+0.110421
+0.109751
+0.109122
+0.108533
+0.107985
+0.10703
+0.105373
+0.103736
+0.102119
+0.100521
+0.0989467
+0.0973959
+0.0958701
+0.0943649
+0.0928859
+0.0914355
+0.090015
+0.088626
+0.0872698
+0.085948
+0.0846623
+0.0834144
+0.0822058
+0.0810385
+0.0799142
+0.0788348
+0.0778021
+0.076818
+0.0758843
+0.0750031
+0.0740245
+0.072986
+0.0719986
+0.071065
+0.0701874
+0.0693679
+0.0686086
+0.0679115
+0.0672786
+0.0667116
+0.0662123
+0.0657821
+0.0654226
+0.0651347
+0.0649196
+0.0647764
+0.0646942
+0.0646862
+0.0647523
+0.0648923
+0.0651058
+0.065392
+0.06575
+0.0658143
+0.0659218
+0.0661018
+0.0663536
+0.0666766
+0.0670695
+0.0675313
+0.0680605
+0.068654
+0.0692998
+0.0700083
+0.0707775
+0.0716054
+0.0724902
+0.0734296
+0.0744217
+0.0754644
+0.0765555
+0.0776931
+0.0788752
+0.0800998
+0.0813649
+0.0826687
+0.0840094
+0.0853853
+0.0867946
+0.133873
+0.13257
+0.131291
+0.130037
+0.128807
+0.127603
+0.126426
+0.125275
+0.124153
+0.12306
+0.121994
+0.120952
+0.119942
+0.118964
+0.118018
+0.117105
+0.116227
+0.115383
+0.114575
+0.113804
+0.113069
+0.112373
+0.111715
+0.111097
+0.110519
+0.109402
+0.107737
+0.10609
+0.104461
+0.102853
+0.101268
+0.0997048
+0.098166
+0.0966523
+0.0951595
+0.0936931
+0.0922554
+0.0908477
+0.0894716
+0.0881284
+0.0868197
+0.0855471
+0.0843123
+0.0831168
+0.0819625
+0.080851
+0.0797843
+0.078764
+0.0777921
+0.0768703
+0.0760005
+0.075034
+0.0740089
+0.0730348
+0.0721141
+0.0712489
+0.0704412
+0.0696931
+0.0690064
+0.0683831
+0.0678248
+0.0673331
+0.0669097
+0.0665556
+0.0662722
+0.0660602
+0.0659203
+0.0658401
+0.0658322
+0.0658971
+0.0660347
+0.0662445
+0.0665258
+0.0668746
+0.0669087
+0.0670145
+0.0671916
+0.0674394
+0.0677571
+0.0681438
+0.0685984
+0.0691194
+0.0697054
+0.070348
+0.071046
+0.071804
+0.0726203
+0.0734928
+0.0744196
+0.0753986
+0.076428
+0.0775056
+0.0786295
+0.0797977
+0.0810083
+0.0822594
+0.0835493
+0.0848761
+0.0862381
+0.0876338
+0.135525
+0.134238
+0.132975
+0.131737
+0.130523
+0.129335
+0.128173
+0.127039
+0.125933
+0.124855
+0.123802
+0.122776
+0.121781
+0.120818
+0.119886
+0.118988
+0.118124
+0.117294
+0.116499
+0.115741
+0.115019
+0.114334
+0.113688
+0.11308
+0.11181
+0.110135
+0.108479
+0.106842
+0.105225
+0.103629
+0.102056
+0.100505
+0.0989786
+0.0974776
+0.0959976
+0.0945442
+0.0931196
+0.0917252
+0.0903624
+0.0890327
+0.0877375
+0.0864784
+0.085257
+0.084075
+0.082934
+0.0818358
+0.080782
+0.0797745
+0.078815
+0.0779053
+0.0770472
+0.0760822
+0.0750711
+0.0741109
+0.0732038
+0.0723516
+0.0715564
+0.0708201
+0.0701444
+0.0695313
+0.0689823
+0.0684989
+0.0680827
+0.0677348
+0.0674563
+0.067248
+0.0671107
+0.0670315
+0.0670238
+0.0670876
+0.0672227
+0.0674288
+0.0677052
+0.0680226
+0.0680561
+0.0681601
+0.0683342
+0.0685779
+0.0688904
+0.0692708
+0.069718
+0.0702307
+0.0708075
+0.0714468
+0.0721352
+0.072882
+0.0736863
+0.0745463
+0.0754602
+0.0764259
+0.0774416
+0.0785053
+0.079615
+0.080769
+0.0819653
+0.083202
+0.0844775
+0.0857899
+0.0871377
+0.0885192
+0.116906
+0.11553
+0.114181
+0.112857
+0.111562
+0.110294
+0.109055
+0.107847
+0.106671
+0.105526
+0.104415
+0.103339
+0.102298
+0.101293
+0.100327
+0.0993995
+0.0985119
+0.0976655
+0.0968612
+0.0961001
+0.0953832
+0.0947116
+0.094083
+0.093497
+0.0929588
+0.0924695
+0.0920297
+0.0916401
+0.0906386
+0.0892188
+0.0878307
+0.0864759
+0.0851558
+0.0838722
+0.0826243
+0.0814114
+0.0802399
+0.0791117
+0.0780288
+0.0769929
+0.0760061
+0.0750703
+0.0741874
+0.0733488
+0.0725646
+0.0718386
+0.0711727
+0.0705685
+0.0700277
+0.0695478
+0.0691185
+0.0687448
+0.0684297
+0.0681835
+0.0680071
+0.067895
+0.0676513
+0.0671072
+0.0666306
+0.0662161
+0.0658658
+0.0655868
+0.0653801
+0.0652463
+0.0651825
+0.0651762
+0.0652345
+0.0653663
+0.0651141
+0.0647971
+0.0645499
+0.0643763
+0.0642566
+0.064203
+0.0642241
+0.0643048
+0.0644266
+0.0646133
+0.0648474
+0.0651232
+0.0654712
+0.0658902
+0.0663402
+0.0668322
+0.0673739
+0.0679819
+0.0686545
+0.0691518
+0.0695379
+0.0699904
+0.0705082
+0.0710897
+0.0717334
+0.0724377
+0.0732007
+0.0740208
+0.074896
+0.0758189
+0.0767866
+0.0778039
+0.115352
+0.113958
+0.112589
+0.111247
+0.109932
+0.108646
+0.107388
+0.106161
+0.104965
+0.103802
+0.102673
+0.101578
+0.100518
+0.0994963
+0.0985122
+0.0975674
+0.096663
+0.0958002
+0.0949801
+0.0942038
+0.0934724
+0.092787
+0.0921486
+0.0915537
+0.091004
+0.0905041
+0.0900547
+0.0896566
+0.0891531
+0.0877144
+0.0863021
+0.0849229
+0.0835783
+0.0822701
+0.081
+0.0797656
+0.0785695
+0.077417
+0.07631
+0.0752506
+0.0742406
+0.0732822
+0.0723775
+0.0715239
+0.0707194
+0.0699743
+0.0692905
+0.0686698
+0.0681139
+0.0676235
+0.067185
+0.0668031
+0.0664788
+0.0662254
+0.0660437
+0.0659338
+0.065852
+0.0652929
+0.064803
+0.0643797
+0.0640194
+0.0637323
+0.0635196
+0.0633819
+0.0633165
+0.0633154
+0.063379
+0.0635146
+0.0634187
+0.0631005
+0.0628466
+0.0626684
+0.0625528
+0.0624977
+0.0625194
+0.0626066
+0.0627305
+0.0629222
+0.0631595
+0.0634426
+0.0637998
+0.0642297
+0.0646913
+0.0651957
+0.0657509
+0.0663738
+0.0670625
+0.0676074
+0.0680023
+0.0684649
+0.0689941
+0.0695883
+0.0702458
+0.0709648
+0.0717435
+0.0725801
+0.0734724
+0.074417
+0.0754026
+0.0764384
+0.113819
+0.112406
+0.111019
+0.109657
+0.108323
+0.107017
+0.10574
+0.104494
+0.103279
+0.102096
+0.100947
+0.0998336
+0.0987557
+0.0977151
+0.0967129
+0.0957504
+0.0948287
+0.093949
+0.0931126
+0.0923206
+0.0915742
+0.0908744
+0.0902225
+0.0896185
+0.0890569
+0.088546
+0.0880866
+0.0876795
+0.0873256
+0.0862394
+0.0848026
+0.0833985
+0.0820289
+0.0806956
+0.0794003
+0.078145
+0.0769253
+0.0757478
+0.074616
+0.0735321
+0.0724983
+0.0715166
+0.0705892
+0.0697184
+0.0688945
+0.0681294
+0.0674269
+0.0667889
+0.0662172
+0.0657136
+0.0652678
+0.0648762
+0.0645432
+0.0642822
+0.064095
+0.0639823
+0.0639351
+0.0635023
+0.0629985
+0.0625661
+0.0621953
+0.0618998
+0.0616807
+0.0615389
+0.0614719
+0.0614708
+0.0615455
+0.0616851
+0.0617545
+0.0614352
+0.0611744
+0.0609913
+0.0608762
+0.0608235
+0.0608458
+0.0609361
+0.0610659
+0.0612628
+0.0615033
+0.0617941
+0.0621607
+0.0626019
+0.0630753
+0.0635926
+0.0641617
+0.0647999
+0.0655012
+0.0660995
+0.0665033
+0.0669764
+0.0675172
+0.0681242
+0.0687957
+0.0695297
+0.0703244
+0.0711776
+0.0720873
+0.0730514
+0.0740576
+0.0751119
+0.112308
+0.110876
+0.109469
+0.108088
+0.106734
+0.105408
+0.104112
+0.102846
+0.101611
+0.100409
+0.0992407
+0.0981075
+0.0970104
+0.0959509
+0.0949301
+0.0939493
+0.0930097
+0.0921127
+0.0912595
+0.0904512
+0.0896893
+0.0889747
+0.0883087
+0.0876924
+0.0871201
+0.0865977
+0.086128
+0.0857116
+0.0853495
+0.0847953
+0.0833336
+0.0819044
+0.0805094
+0.0791505
+0.0778295
+0.0765484
+0.0753089
+0.0741057
+0.0729485
+0.0718395
+0.0707808
+0.069775
+0.0688242
+0.0679307
+0.0670915
+0.0663056
+0.0655835
+0.0649274
+0.0643392
+0.0638208
+0.0633651
+0.0629649
+0.0626245
+0.0623555
+0.0621625
+0.0620463
+0.0620034
+0.0617376
+0.0612192
+0.0607755
+0.0603956
+0.0600912
+0.0598655
+0.0597194
+0.0596508
+0.0596497
+0.059729
+0.0598799
+0.0601033
+0.0598038
+0.0595358
+0.0593476
+0.0592306
+0.0591826
+0.0592055
+0.0592988
+0.0594355
+0.0596377
+0.0598815
+0.0601801
+0.0605565
+0.0610093
+0.0614923
+0.0620255
+0.0626088
+0.0632626
+0.0639673
+0.0646307
+0.0650436
+0.0655272
+0.0660799
+0.0667
+0.0673857
+0.0681349
+0.0689456
+0.0698157
+0.0707429
+0.0717217
+0.0727456
+0.0738186
+0.11082
+0.109368
+0.107942
+0.106541
+0.105167
+0.103821
+0.102505
+0.101219
+0.0999637
+0.0987416
+0.0975534
+0.0964003
+0.0952836
+0.0942046
+0.0931647
+0.0921651
+0.0912071
+0.0902922
+0.0894216
+0.0885966
+0.0878185
+0.0870886
+0.0864081
+0.0857781
+0.0851956
+0.0846614
+0.0841808
+0.0837548
+0.0833841
+0.0830697
+0.0818969
+0.0804421
+0.0790213
+0.0776364
+0.0762892
+0.0749818
+0.0737163
+0.0724927
+0.0713093
+0.0701743
+0.0690902
+0.0680594
+0.0670842
+0.0661673
+0.065311
+0.0645046
+0.0637622
+0.0630871
+0.0624815
+0.0619476
+0.0614815
+0.0610723
+0.0607242
+0.0604467
+0.0602476
+0.0601277
+0.0600875
+0.0600009
+0.0594674
+0.0590105
+0.0586225
+0.0583089
+0.0580763
+0.0579256
+0.0578553
+0.0578542
+0.0579359
+0.0581002
+0.0583309
+0.0582091
+0.0579338
+0.0577404
+0.0576213
+0.0575723
+0.0575958
+0.0576982
+0.0578396
+0.0580494
+0.0582956
+0.0586023
+0.0589887
+0.0594499
+0.0599446
+0.0604971
+0.061095
+0.0617648
+0.0624725
+0.0632037
+0.0636259
+0.0641202
+0.0646849
+0.0653183
+0.0660183
+0.0667829
+0.0676098
+0.0684968
+0.0694408
+0.0704305
+0.0714729
+0.0725647
+0.109355
+0.107884
+0.106437
+0.105017
+0.103623
+0.102257
+0.10092
+0.0996128
+0.0983376
+0.097095
+0.0958863
+0.0947129
+0.0935761
+0.0924772
+0.0914176
+0.0903987
+0.0894219
+0.0884885
+0.0875999
+0.0867576
+0.0859629
+0.0852171
+0.0845215
+0.0838774
+0.0832842
+0.0827377
+0.0822459
+0.0818098
+0.0814303
+0.0811082
+0.0804906
+0.0790136
+0.0775666
+0.0761552
+0.0747813
+0.0734471
+0.0721548
+0.0709065
+0.0697004
+0.0685388
+0.0674284
+0.0663717
+0.0653714
+0.0644301
+0.0635504
+0.0627285
+0.0619647
+0.0612698
+0.0606461
+0.0600959
+0.059619
+0.0592004
+0.0588441
+0.0585577
+0.0583522
+0.0582284
+0.0581868
+0.05822
+0.0577456
+0.057275
+0.0568785
+0.0565552
+0.0563154
+0.05616
+0.0560879
+0.0560867
+0.056171
+0.0563404
+0.0565862
+0.056652
+0.0563713
+0.0561725
+0.0560514
+0.0560014
+0.0560256
+0.0561353
+0.0562828
+0.0564984
+0.0567447
+0.0570597
+0.0574565
+0.0579304
+0.0584381
+0.0590104
+0.0596232
+0.060298
+0.0610198
+0.0617568
+0.062253
+0.0627581
+0.063335
+0.0639817
+0.0646962
+0.0654762
+0.0663194
+0.0672235
+0.0681768
+0.0691845
+0.0702454
+0.0713561
+0.107915
+0.106424
+0.104957
+0.103516
+0.102102
+0.100715
+0.0993574
+0.0980298
+0.0967337
+0.0954702
+0.0942407
+0.0930466
+0.0918891
+0.0907698
+0.0896901
+0.0886513
+0.087655
+0.0867026
+0.0857955
+0.0849354
+0.0841234
+0.0833612
+0.08265
+0.0819911
+0.081386
+0.0808276
+0.0803241
+0.0798775
+0.0794888
+0.0791588
+0.0788883
+0.0776167
+0.0761472
+0.0747089
+0.073308
+0.0719464
+0.0706266
+0.0693509
+0.0681217
+0.0669349
+0.0657975
+0.0647142
+0.0636879
+0.0627213
+0.0618173
+0.0609786
+0.0601933
+0.0594777
+0.058835
+0.0582677
+0.0577766
+0.0573501
+0.0569862
+0.0566904
+0.0564781
+0.0563501
+0.0563072
+0.0563475
+0.0560565
+0.0555716
+0.0551664
+0.054833
+0.0545856
+0.0544253
+0.0543514
+0.0543501
+0.0544371
+0.0546119
+0.0548732
+0.0551319
+0.0548519
+0.0546476
+0.0545243
+0.0544733
+0.0544982
+0.054611
+0.0547694
+0.0549909
+0.0552371
+0.0555606
+0.0559681
+0.0564552
+0.0569759
+0.0575688
+0.0581858
+0.0588722
+0.0596122
+0.0603534
+0.0609279
+0.0614439
+0.062033
+0.0626932
+0.0634222
+0.0642176
+0.0650772
+0.0659917
+0.0669606
+0.0679864
+0.0690657
+0.070195
+0.106501
+0.104989
+0.103502
+0.102041
+0.100606
+0.0991981
+0.0978193
+0.0964706
+0.0951532
+0.0938684
+0.0926177
+0.0914024
+0.0902238
+0.0890836
+0.0879831
+0.086924
+0.0859076
+0.0849356
+0.0840095
+0.0831309
+0.0823011
+0.0815218
+0.0807944
+0.0801204
+0.079501
+0.0789321
+0.0784164
+0.0779589
+0.0775605
+0.0772223
+0.076945
+0.0762567
+0.0747608
+0.0732996
+0.0718712
+0.0704819
+0.0691341
+0.0678303
+0.0665731
+0.0653649
+0.0641999
+0.0630892
+0.062036
+0.0610433
+0.060114
+0.0592512
+0.0584504
+0.0577132
+0.0570506
+0.0564653
+0.0559588
+0.0555184
+0.0551523
+0.054847
+0.0546275
+0.0544953
+0.0544509
+0.0544919
+0.0544032
+0.0539034
+0.0534887
+0.0531453
+0.05289
+0.0527246
+0.0526487
+0.0526474
+0.0527372
+0.0529176
+0.0531877
+0.053519
+0.0533791
+0.0531691
+0.0530438
+0.0529918
+0.0530173
+0.0531333
+0.0533031
+0.0535306
+0.0537765
+0.0541088
+0.0545271
+0.0550275
+0.0555617
+0.0561651
+0.0567914
+0.0574945
+0.0582511
+0.0589979
+0.0596539
+0.0601808
+0.0607822
+0.0614558
+0.0621992
+0.0630102
+0.0638821
+0.0648085
+0.0657949
+0.0668385
+0.0679361
+0.0690839
+0.105111
+0.103581
+0.102074
+0.100592
+0.0991353
+0.0977066
+0.0963065
+0.0949363
+0.0935973
+0.0922909
+0.0910185
+0.0897815
+0.0885814
+0.0874197
+0.0862981
+0.085218
+0.084181
+0.0831889
+0.0822431
+0.0813453
+0.0804972
+0.0797003
+0.0789561
+0.0782662
+0.077632
+0.0770495
+0.0765211
+0.0760522
+0.0756439
+0.0752971
+0.0750126
+0.0747913
+0.0734132
+0.0719249
+0.0704732
+0.0690558
+0.0676796
+0.0663472
+0.0650614
+0.0638248
+0.0626383
+0.0614994
+0.0604184
+0.0593987
+0.0584433
+0.0575555
+0.0567384
+0.0559787
+0.0552954
+0.0546913
+0.0541685
+0.0537137
+0.0533429
+0.0530301
+0.052803
+0.0526662
+0.0526203
+0.0526621
+0.0527807
+0.0522738
+0.0518461
+0.0514955
+0.051232
+0.0510612
+0.0509833
+0.050982
+0.0510747
+0.051261
+0.0515397
+0.0518898
+0.0519551
+0.0517393
+0.0516138
+0.0515608
+0.051587
+0.0517062
+0.0518878
+0.0521156
+0.0523669
+0.052708
+0.0531374
+0.0536514
+0.0541992
+0.0548069
+0.0554486
+0.0561685
+0.0569351
+0.0576937
+0.0584343
+0.0589721
+0.0595856
+0.0602726
+0.0610305
+0.0618558
+0.0627357
+0.0636788
+0.0646824
+0.0657437
+0.0668592
+0.0680252
+0.10361
+0.102201
+0.100673
+0.0991694
+0.0976921
+0.0962419
+0.0948201
+0.0934281
+0.0920672
+0.0907388
+0.0894443
+0.0881852
+0.0869631
+0.0857796
+0.0846362
+0.0835346
+0.0824765
+0.0814635
+0.0804975
+0.07958
+0.0787129
+0.0778977
+0.0771362
+0.0764298
+0.0757803
+0.0751834
+0.0746419
+0.0741611
+0.0737422
+0.0733864
+0.0730946
+0.0728675
+0.072107
+0.0705911
+0.0691115
+0.0676704
+0.0662656
+0.0649042
+0.0635892
+0.0623234
+0.06111
+0.0599474
+0.058838
+0.0577903
+0.0568079
+0.0558941
+0.0550523
+0.0542772
+0.0535722
+0.0529485
+0.0524086
+0.0519386
+0.0515568
+0.0512424
+0.0510074
+0.0508657
+0.0508182
+0.0508608
+0.0509836
+0.0506865
+0.0502453
+0.0498874
+0.0496153
+0.0494389
+0.049359
+0.0493576
+0.0494534
+0.0496457
+0.0499335
+0.0503032
+0.0505787
+0.050357
+0.05023
+0.0501846
+0.0502116
+0.050334
+0.0505279
+0.0507544
+0.0510124
+0.0513625
+0.051803
+0.0523309
+0.0528915
+0.0535039
+0.0541611
+0.0548978
+0.0556743
+0.0564419
+0.0572074
+0.0578176
+0.0584433
+0.0591435
+0.0599157
+0.0607502
+0.0616458
+0.0626054
+0.0636259
+0.0647045
+0.0658377
+0.0670214
+0.102134
+0.100734
+0.0993
+0.0977757
+0.096277
+0.0948052
+0.0933615
+0.0919475
+0.0905643
+0.0892135
+0.0878966
+0.086615
+0.0853704
+0.0841644
+0.0829988
+0.0818752
+0.0807953
+0.0797611
+0.0787742
+0.0778364
+0.0769496
+0.0761155
+0.075336
+0.0746126
+0.073947
+0.0733353
+0.07278
+0.0722868
+0.0718571
+0.0714919
+0.0711923
+0.0709591
+0.0707835
+0.069301
+0.0677932
+0.0663235
+0.0648944
+0.063504
+0.0621594
+0.0608639
+0.0596207
+0.0584333
+0.0572975
+0.0562212
+0.0552109
+0.0542702
+0.0534028
+0.052612
+0.0518843
+0.0512401
+0.0506822
+0.0501964
+0.0498012
+0.0494871
+0.0492437
+0.0490969
+0.0490477
+0.0490912
+0.0492184
+0.0491456
+0.0486904
+0.0483251
+0.0480441
+0.0478619
+0.0477796
+0.0477785
+0.0478774
+0.048076
+0.0483732
+0.0487634
+0.0492109
+0.0490337
+0.0489032
+0.0488677
+0.0488956
+0.0490213
+0.049228
+0.0494526
+0.0497175
+0.0500767
+0.0505285
+0.0510699
+0.0516364
+0.0522604
+0.052933
+0.0536866
+0.0544723
+0.0552476
+0.0560239
+0.0567179
+0.0573555
+0.0580689
+0.0588552
+0.0597045
+0.0606156
+0.0615912
+0.0626282
+0.0637238
+0.064874
+0.066075
+0.100684
+0.0992637
+0.0978719
+0.0964065
+0.0948882
+0.0933966
+0.091932
+0.0904956
+0.0890899
+0.0877164
+0.0863766
+0.0850722
+0.0838047
+0.0825759
+0.0813875
+0.0802413
+0.0791392
+0.0780829
+0.0770746
+0.0761159
+0.0752088
+0.0743552
+0.073557
+0.0728159
+0.0721338
+0.0715066
+0.0709369
+0.0704308
+0.0699897
+0.0696147
+0.069307
+0.0690674
+0.0688967
+0.0679906
+0.0665209
+0.0650224
+0.0635642
+0.0621489
+0.0607749
+0.0594492
+0.0581759
+0.0569583
+0.055793
+0.0546871
+0.0536478
+0.0526792
+0.0517852
+0.0509698
+0.0502353
+0.0495696
+0.0489929
+0.0484906
+0.0480814
+0.0477678
+0.0475156
+0.0473635
+0.0473124
+0.0473568
+0.0474887
+0.0476556
+0.0471861
+0.0468131
+0.0465231
+0.0463349
+0.0462498
+0.0462492
+0.0463514
+0.0465565
+0.0468633
+0.0472635
+0.0477282
+0.0477741
+0.0476402
+0.0476038
+0.0476436
+0.0477726
+0.0479929
+0.0482056
+0.04848
+0.0488483
+0.0493113
+0.0498618
+0.0504451
+0.0510806
+0.0517685
+0.0525388
+0.0533287
+0.0541157
+0.0549024
+0.0556826
+0.056332
+0.0570581
+0.0578582
+0.0587219
+0.059648
+0.0606392
+0.0616923
+0.0628041
+0.0639709
+0.0651885
+0.0992612
+0.0978203
+0.0964077
+0.0950246
+0.0935254
+0.0920117
+0.0905257
+0.0890688
+0.0876425
+0.086248
+0.084886
+0.0835583
+0.0822675
+0.0810154
+0.0798037
+0.0786345
+0.0775095
+0.0764308
+0.0754003
+0.07442
+0.073492
+0.0726182
+0.0718007
+0.0710413
+0.070342
+0.0696987
+0.0691141
+0.0685946
+0.0681415
+0.0677563
+0.0674401
+0.0671939
+0.0670184
+0.0667017
+0.0652252
+0.0637702
+0.0622826
+0.0608375
+0.0594381
+0.0580828
+0.0567788
+0.0555306
+0.0543347
+0.0531984
+0.0521295
+0.0511322
+0.0502107
+0.0493692
+0.0486111
+0.0479296
+0.0473328
+0.0468251
+0.0464012
+0.0460777
+0.045827
+0.0456693
+0.0456163
+0.0456617
+0.0457984
+0.0460391
+0.0457372
+0.0453537
+0.0450572
+0.0448629
+0.044775
+0.0447749
+0.0448805
+0.0450923
+0.045409
+0.0458173
+0.0462965
+0.0465837
+0.0464463
+0.0464089
+0.0464499
+0.0465821
+0.0468167
+0.047026
+0.0473073
+0.0476847
+0.0481588
+0.0487224
+0.0493222
+0.0499689
+0.0506719
+0.0514587
+0.0522466
+0.0530502
+0.0538467
+0.054685
+0.0553763
+0.0561148
+0.0569281
+0.0578057
+0.0587463
+0.0597524
+0.0608208
+0.0619483
+0.0631309
+0.0643644
+0.0978631
+0.0964051
+0.0949714
+0.0935671
+0.0921934
+0.0906586
+0.0891501
+0.0876703
+0.0862208
+0.0848031
+0.0834189
+0.0820698
+0.0807577
+0.0794839
+0.0782493
+0.0770564
+0.0759081
+0.0748063
+0.0737531
+0.0727506
+0.0718011
+0.0709065
+0.0700689
+0.0692906
+0.0685734
+0.0679127
+0.0673126
+0.0667791
+0.0663137
+0.0659178
+0.0655927
+0.0653395
+0.065159
+0.0650519
+0.0639557
+0.062491
+0.0610527
+0.0595778
+0.0581481
+0.0567669
+0.0554331
+0.0541539
+0.0529269
+0.0517597
+0.0506605
+0.0496336
+0.0486837
+0.0478154
+0.0470323
+0.0463286
+0.0457132
+0.0451933
+0.0447653
+0.0444299
+0.0441826
+0.044019
+0.043964
+0.0440103
+0.0441522
+0.0444018
+0.0443493
+0.0439536
+0.0436521
+0.0434515
+0.0433608
+0.0433612
+0.0434702
+0.0436889
+0.0440157
+0.0444321
+0.0449261
+0.0454624
+0.0453269
+0.0452886
+0.0453305
+0.0454661
+0.0457063
+0.0459207
+0.0462087
+0.046595
+0.0470801
+0.0476564
+0.0482722
+0.0489302
+0.0496479
+0.0504506
+0.0512353
+0.0520551
+0.0528588
+0.0537063
+0.0544919
+0.0552422
+0.0560682
+0.056959
+0.0579134
+0.0589337
+0.0600167
+0.061159
+0.0623566
+0.0636052
+0.0964859
+0.0950093
+0.0935606
+0.0921386
+0.0907433
+0.0893387
+0.0878075
+0.0863048
+0.0848319
+0.0833907
+0.0819826
+0.0806095
+0.0792731
+0.0779754
+0.0767183
+0.0755039
+0.0743342
+0.0732108
+0.0721348
+0.0711096
+0.0701378
+0.0692217
+0.0683635
+0.0675655
+0.0668295
+0.0661471
+0.0655308
+0.0649827
+0.0645043
+0.0640972
+0.0637629
+0.0635024
+0.0633167
+0.0632064
+0.062737
+0.0612432
+0.0597924
+0.0583732
+0.0569132
+0.0555013
+0.0541412
+0.0528322
+0.0515737
+0.0503752
+0.0492451
+0.0481881
+0.0472091
+0.0463132
+0.0455042
+0.0447765
+0.0441428
+0.0436043
+0.0431703
+0.0428307
+0.0425874
+0.0424176
+0.0423606
+0.0424079
+0.042555
+0.042814
+0.0430281
+0.0426202
+0.0423139
+0.0421069
+0.0420132
+0.0420143
+0.0421267
+0.0423523
+0.0426874
+0.0431138
+0.0436227
+0.0442301
+0.0442876
+0.0442484
+0.0442913
+0.04443
+0.0446759
+0.0448952
+0.0451897
+0.0455846
+0.0460804
+0.046669
+0.0472977
+0.0479691
+0.048701
+0.0495043
+0.0502992
+0.0511345
+0.0519346
+0.0527969
+0.0536824
+0.0544439
+0.0552818
+0.0561851
+0.0571524
+0.0581861
+0.0592827
+0.0604389
+0.0616505
+0.062913
+0.0951393
+0.0936414
+0.0921712
+0.0907301
+0.0893195
+0.0879381
+0.0864993
+0.0849737
+0.0834775
+0.0820124
+0.0805802
+0.0791828
+0.0778219
+0.0764996
+0.0752179
+0.0739788
+0.0727846
+0.0716375
+0.0705398
+0.0694938
+0.0685019
+0.0675656
+0.0666865
+0.0658681
+0.0651082
+0.0644075
+0.0637745
+0.0632111
+0.0627192
+0.0623005
+0.0619565
+0.0616883
+0.0614971
+0.0613836
+0.0613481
+0.0600494
+0.058569
+0.057132
+0.0557371
+0.0542946
+0.0529035
+0.051568
+0.0502796
+0.0490495
+0.0478881
+0.0468005
+0.0457919
+0.0448676
+0.0440321
+0.0432796
+0.0426266
+0.0420693
+0.0416194
+0.0412809
+0.041039
+0.0408709
+0.0408118
+0.04086
+0.0410128
+0.0412814
+0.0416636
+0.04136
+0.0410485
+0.0408351
+0.0407386
+0.0407406
+0.0408566
+0.0410892
+0.0414294
+0.0418686
+0.0423925
+0.0430172
+0.0433288
+0.0432941
+0.043338
+0.0434798
+0.0437309
+0.043955
+0.0442558
+0.044659
+0.0451649
+0.045755
+0.0464062
+0.0470904
+0.0478357
+0.0486341
+0.0494425
+0.0502767
+0.0510877
+0.051964
+0.0529097
+0.0537231
+0.054572
+0.0554869
+0.0564661
+0.0575122
+0.0586214
+0.0597904
+0.0610149
+0.0622903
+0.0938245
+0.0923053
+0.0908135
+0.0893505
+0.0879177
+0.0865168
+0.0851491
+0.0836782
+0.082159
+0.08067
+0.0792136
+0.0777916
+0.076406
+0.0750588
+0.073752
+0.0724878
+0.0712687
+0.0700967
+0.0689745
+0.0679044
+0.066889
+0.0659307
+0.0650321
+0.0641958
+0.0634158
+0.0626963
+0.0620458
+0.0614666
+0.0609606
+0.0605297
+0.0601756
+0.0598995
+0.0597025
+0.0595856
+0.059549
+0.0589079
+0.0574031
+0.0559362
+0.0545131
+0.0531423
+0.051729
+0.0503623
+0.0490493
+0.0477875
+0.0465947
+0.0454761
+0.0444374
+0.0434844
+0.0426218
+0.0418439
+0.0411681
+0.0405946
+0.0401281
+0.0397769
+0.0395442
+0.0393851
+0.0393237
+0.0393733
+0.0395318
+0.0398104
+0.0402065
+0.0401797
+0.0398593
+0.0396395
+0.03954
+0.0395474
+0.0396668
+0.0399064
+0.0402515
+0.0407033
+0.0412421
+0.0418839
+0.0424451
+0.0424162
+0.0424764
+0.042621
+0.0428679
+0.0431057
+0.0434124
+0.0438233
+0.0443231
+0.044919
+0.0455845
+0.0462895
+0.0470428
+0.0478484
+0.0486684
+0.0494985
+0.0503219
+0.0512114
+0.0521707
+0.0530829
+0.053942
+0.0548674
+0.0558574
+0.0569147
+0.0580353
+0.0592159
+0.060452
+0.0617391
+0.0925429
+0.0910023
+0.0894887
+0.0880037
+0.0865487
+0.0851252
+0.0837348
+0.0823792
+0.0808774
+0.0793655
+0.0778847
+0.076438
+0.0750273
+0.0736549
+0.0723227
+0.0710332
+0.0697886
+0.0685914
+0.0674441
+0.0663493
+0.0653097
+0.0643279
+0.0634066
+0.0625486
+0.0617549
+0.0610158
+0.0603472
+0.0597515
+0.0592308
+0.0587873
+0.0584225
+0.0581381
+0.0579352
+0.0578146
+0.057777
+0.0578194
+0.05629
+0.054802
+0.0533486
+0.051947
+0.0506015
+0.049221
+0.047883
+0.0465944
+0.0453702
+0.0442206
+0.0431518
+0.0421697
+0.0412796
+0.040476
+0.0397769
+0.0391869
+0.0387034
+0.0383392
+0.0380977
+0.0379536
+0.0378898
+0.0379526
+0.0381192
+0.038408
+0.0388185
+0.0390866
+0.0387575
+0.0385314
+0.0384291
+0.0384417
+0.0385646
+0.0388109
+0.0391607
+0.039625
+0.0401782
+0.0408368
+0.0415828
+0.0416285
+0.0417055
+0.0418594
+0.0420887
+0.0423499
+0.0426586
+0.0430668
+0.0435699
+0.044176
+0.0448524
+0.0455688
+0.0463348
+0.0471345
+0.0479641
+0.0488062
+0.0496411
+0.0505425
+0.0515143
+0.0525238
+0.0533944
+0.0543291
+0.0553288
+0.056396
+0.0575268
+0.0587175
+0.0599639
+0.0612612
+0.0912959
+0.0897338
+0.0881985
+0.0866914
+0.085214
+0.0837678
+0.0823545
+0.0809758
+0.0796335
+0.078099
+0.0765953
+0.0751238
+0.073688
+0.0722901
+0.0709323
+0.069617
+0.0683466
+0.0671237
+0.0659509
+0.064831
+0.0637666
+0.0627607
+0.061816
+0.0609356
+0.0601221
+0.0593685
+0.0586811
+0.0580683
+0.0575325
+0.0570757
+0.0567
+0.0564069
+0.0561977
+0.0560734
+0.0560345
+0.0560813
+0.0552343
+0.0537207
+0.0522501
+0.0508182
+0.0494419
+0.0481261
+0.0467752
+0.0454707
+0.0442185
+0.0430382
+0.0419392
+0.040928
+0.0400114
+0.0391828
+0.0384603
+0.0378509
+0.037353
+0.0369755
+0.036725
+0.0365967
+0.0365306
+0.0365957
+0.0367829
+0.0370822
+0.0375072
+0.038039
+0.0377508
+0.0375186
+0.0374135
+0.0374265
+0.0375527
+0.0378056
+0.0381646
+0.0386409
+0.039208
+0.0398826
+0.0406461
+0.040943
+0.0410213
+0.0411919
+0.0414108
+0.0416762
+0.04199
+0.0424046
+0.0429154
+0.0435307
+0.0442168
+0.0449435
+0.045721
+0.0465102
+0.0473508
+0.0482037
+0.0490488
+0.0499609
+0.0509438
+0.0519643
+0.0529319
+0.0538747
+0.0548827
+0.0559583
+0.0570978
+0.0582973
+0.0595525
+0.0608586
+0.0900848
+0.0885014
+0.0869444
+0.0854152
+0.0839153
+0.0824463
+0.0810099
+0.0796079
+0.0782421
+0.0768733
+0.0753456
+0.0738512
+0.0723902
+0.0709667
+0.0695832
+0.0682418
+0.0669454
+0.0656964
+0.0644976
+0.063352
+0.0622623
+0.0612317
+0.0602631
+0.0593596
+0.0585242
+0.0577573
+0.0570505
+0.05642
+0.0558684
+0.0553979
+0.0550107
+0.0547085
+0.0544929
+0.0543647
+0.0543246
+0.0543728
+0.0542454
+0.0527034
+0.0512086
+0.0497602
+0.0483538
+0.0470075
+0.0457266
+0.0444108
+0.0431403
+0.0419297
+0.0408008
+0.0397607
+0.0388165
+0.0379721
+0.037226
+0.0365961
+0.0360851
+0.0356942
+0.0354346
+0.0353094
+0.0352552
+0.0353227
+0.0355218
+0.0358315
+0.0362712
+0.03682
+0.0368469
+0.0366091
+0.0365013
+0.0365147
+0.036644
+0.0369032
+0.0372708
+0.0377584
+0.0383385
+0.0390282
+0.0398081
+0.0403625
+0.0404419
+0.0406174
+0.0408394
+0.0411085
+0.0414265
+0.0418467
+0.0423643
+0.0429874
+0.0436819
+0.0444175
+0.0452051
+0.0459819
+0.0468321
+0.0476942
+0.0485482
+0.0494693
+0.0504574
+0.0514921
+0.0525568
+0.0535061
+0.0545209
+0.0556036
+0.0567501
+0.0579569
+0.0592193
+0.0605325
+0.0889113
+0.0873066
+0.0857279
+0.0841766
+0.0826542
+0.0811624
+0.0797029
+0.0782775
+0.0768881
+0.0755367
+0.0741392
+0.07262
+0.0711355
+0.0696865
+0.0682769
+0.0669094
+0.0655866
+0.0643113
+0.0630862
+0.0619144
+0.060799
+0.0597431
+0.05875
+0.0578229
+0.0569649
+0.0561781
+0.0554513
+0.0548024
+0.0542343
+0.0537495
+0.0533504
+0.0530388
+0.0528162
+0.052684
+0.0526426
+0.0526924
+0.052833
+0.0517588
+0.050236
+0.048764
+0.0473422
+0.0459663
+0.0446554
+0.0434157
+0.0421416
+0.0409085
+0.0397507
+0.0386823
+0.0377112
+0.0368448
+0.0360827
+0.0354325
+0.0349078
+0.0345044
+0.0342359
+0.0341062
+0.034073
+0.0341428
+0.0343488
+0.034669
+0.0351233
+0.0356939
+0.0360537
+0.0358106
+0.0357004
+0.0357141
+0.0358463
+0.0361112
+0.0364868
+0.0369847
+0.0375768
+0.0382802
+0.039075
+0.0398855
+0.0399659
+0.0401539
+0.040359
+0.0406409
+0.0409726
+0.0413974
+0.0419205
+0.0425501
+0.0432515
+0.0439944
+0.0447837
+0.045553
+0.046411
+0.0472809
+0.0481421
+0.0490613
+0.0500574
+0.0511094
+0.0521892
+0.0532253
+0.0542453
+0.0553333
+0.0564854
+0.0576977
+0.0589656
+0.0602844
+0.0877768
+0.086151
+0.0845507
+0.0829773
+0.0814325
+0.0799179
+0.0784353
+0.0769864
+0.0755733
+0.0741979
+0.0728625
+0.0714347
+0.069925
+0.0684503
+0.0670148
+0.065621
+0.0642717
+0.0629697
+0.061718
+0.0605198
+0.0593782
+0.0582966
+0.0572784
+0.056327
+0.0554459
+0.0546372
+0.0538897
+0.0532217
+0.0526365
+0.0521369
+0.0517253
+0.0514039
+0.0511742
+0.0510377
+0.050995
+0.0510464
+0.0511915
+0.0508911
+0.0493415
+0.047842
+0.0463975
+0.0450076
+0.043668
+0.0423994
+0.0412082
+0.0399814
+0.0387959
+0.0377005
+0.0367034
+0.0358126
+0.0350364
+0.0343692
+0.0338281
+0.0334117
+0.0331342
+0.0330002
+0.0329775
+0.0330662
+0.0332788
+0.0336093
+0.0340776
+0.0346666
+0.0353669
+0.0351308
+0.0350185
+0.0350324
+0.0351672
+0.0354371
+0.0358199
+0.0363269
+0.0369295
+0.037645
+0.0384529
+0.0393167
+0.0393747
+0.0395321
+0.0398082
+0.0402019
+0.0406218
+0.0410602
+0.0415875
+0.0422221
+0.0429249
+0.0436773
+0.0444513
+0.0452263
+0.0460903
+0.046966
+0.0478255
+0.0487484
+0.0497508
+0.0508184
+0.0519043
+0.0530136
+0.0540571
+0.0551489
+0.0563047
+0.0575208
+0.0587926
+0.0601152
+0.0866828
+0.085036
+0.0834143
+0.0818192
+0.0802521
+0.0787148
+0.077209
+0.0757367
+0.0742998
+0.0729004
+0.0715408
+0.0702231
+0.0687631
+0.0672629
+0.0658015
+0.0643814
+0.0630056
+0.0616768
+0.0603983
+0.0591734
+0.0580053
+0.0568976
+0.0558539
+0.0548779
+0.0539731
+0.053142
+0.0523731
+0.0516856
+0.0510828
+0.0505678
+0.0501433
+0.0498117
+0.0495747
+0.0494337
+0.0493897
+0.0494427
+0.0495925
+0.0493881
+0.0485295
+0.0470041
+0.0455331
+0.0441218
+0.0427701
+0.041474
+0.0402555
+0.0391217
+0.0379437
+0.036823
+0.0358014
+0.0348877
+0.0340903
+0.0334159
+0.0328591
+0.0324302
+0.0321443
+0.0320062
+0.0319828
+0.0320861
+0.0323122
+0.0326622
+0.033144
+0.0337492
+0.0344682
+0.0345766
+0.0344625
+0.0344767
+0.0346136
+0.0348878
+0.0352765
+0.0357913
+0.0364027
+0.0371284
+0.0379473
+0.0385343
+0.0385935
+0.0387541
+0.0390357
+0.0394371
+0.0399548
+0.0405844
+0.0413158
+0.0419934
+0.0426907
+0.0434684
+0.044225
+0.0450039
+0.0458721
+0.0467334
+0.0476048
+0.0485325
+0.0495392
+0.050606
+0.0517106
+0.052824
+0.053941
+0.0550487
+0.0562089
+0.057427
+0.0587008
+0.0600254
+0.0856308
+0.0839635
+0.0823207
+0.0807039
+0.0791147
+0.0775548
+0.0760261
+0.0745304
+0.0730698
+0.0716464
+0.0702625
+0.0689204
+0.0676227
+0.0661267
+0.0646396
+0.0631934
+0.0617911
+0.0604357
+0.0591304
+0.0578786
+0.0566838
+0.0555498
+0.0544803
+0.0534792
+0.0525504
+0.0516964
+0.0509057
+0.050198
+0.0495772
+0.0490464
+0.0486086
+0.0482664
+0.0480218
+0.0478763
+0.0478308
+0.0478855
+0.0480402
+0.0477862
+0.0476176
+0.0462549
+0.0447592
+0.0433227
+0.0419515
+0.0406457
+0.0394016
+0.0382426
+0.0371766
+0.0360574
+0.0350135
+0.0340786
+0.0332619
+0.0325723
+0.0320109
+0.0315705
+0.0312768
+0.0311348
+0.0311107
+0.031217
+0.031451
+0.0318293
+0.03233
+0.0329344
+0.0336707
+0.0341542
+0.0340387
+0.034053
+0.0341917
+0.0344693
+0.0348626
+0.0353834
+0.0360018
+0.0367354
+0.0375629
+0.0378627
+0.037923
+0.0380864
+0.0383728
+0.0387812
+0.0393075
+0.0399424
+0.0406674
+0.0414955
+0.0424206
+0.043367
+0.0441065
+0.0448874
+0.0457535
+0.0466014
+0.0474762
+0.0484148
+0.0494239
+0.0504841
+0.0516047
+0.0527248
+0.0538852
+0.0550211
+0.0561916
+0.0574099
+0.0586831
+0.0600081
+0.0846226
+0.0829349
+0.0812713
+0.0796332
+0.0780222
+0.0764401
+0.0748886
+0.0733697
+0.0718856
+0.0704382
+0.0690301
+0.0676636
+0.0663413
+0.0650445
+0.063532
+0.0620601
+0.0606316
+0.0592496
+0.0579176
+0.056639
+0.0554175
+0.054257
+0.0531615
+0.0521351
+0.0511819
+0.0503047
+0.0494917
+0.0487636
+0.0481242
+0.0475772
+0.0471258
+0.0467727
+0.0465203
+0.04637
+0.046323
+0.0463796
+0.0465097
+0.0462327
+0.0460584
+0.0455838
+0.0440789
+0.0426214
+0.0412268
+0.0399039
+0.0386532
+0.037471
+0.0363824
+0.0353961
+0.0343438
+0.0333902
+0.0325562
+0.0318514
+0.0312843
+0.0308374
+0.0305366
+0.0303912
+0.0303719
+0.0304807
+0.0307222
+0.0311094
+0.0316197
+0.0322374
+0.0329893
+0.0338636
+0.0337521
+0.0337665
+0.0339063
+0.0341862
+0.0345828
+0.0351077
+0.0357309
+0.0364699
+0.0373014
+0.0373078
+0.0373642
+0.0375286
+0.0378193
+0.0382335
+0.0387671
+0.0393933
+0.0401282
+0.0409672
+0.041904
+0.0429323
+0.0440456
+0.0448713
+0.0457238
+0.0465722
+0.0474475
+0.0483893
+0.0493985
+0.0504571
+0.0515783
+0.0527166
+0.0538771
+0.0550656
+0.0562499
+0.057467
+0.0587389
+0.0600627
+0.0836595
+0.0819521
+0.0802681
+0.0786091
+0.0769766
+0.0753726
+0.0737986
+0.0722569
+0.0707493
+0.0692783
+0.0678461
+0.0664552
+0.0651084
+0.0638084
+0.0624724
+0.0609749
+0.0595205
+0.0581122
+0.0567535
+0.0554482
+0.0541999
+0.0530129
+0.0518912
+0.0508392
+0.0498613
+0.048962
+0.0481336
+0.0473846
+0.0467263
+0.0461628
+0.0456974
+0.0453332
+0.0450727
+0.0449176
+0.0448691
+0.0449275
+0.0450188
+0.0447326
+0.0445524
+0.044479
+0.043479
+0.0420129
+0.0405976
+0.0392535
+0.0379882
+0.0368053
+0.0356964
+0.0346906
+0.0337908
+0.0328211
+0.0319723
+0.0312543
+0.0306762
+0.0302203
+0.0299133
+0.0297648
+0.0297763
+0.0298873
+0.0301353
+0.03053
+0.0310444
+0.0316734
+0.0324384
+0.0331738
+0.0336011
+0.0336206
+0.033761
+0.0340421
+0.0344403
+0.0349674
+0.035593
+0.0363313
+0.0369429
+0.0368702
+0.0369069
+0.0370733
+0.0373675
+0.0377867
+0.0383265
+0.0389598
+0.0397027
+0.0405505
+0.0414967
+0.0425349
+0.0436583
+0.0448607
+0.0457989
+0.0466459
+0.0475199
+0.048459
+0.0494672
+0.0505252
+0.0516449
+0.0527828
+0.0539472
+0.0551456
+0.0563803
+0.0576074
+0.0588763
+0.0601971
+0.0827433
+0.0810165
+0.0793126
+0.0776332
+0.0759799
+0.0743543
+0.0727583
+0.071194
+0.0696635
+0.068169
+0.066713
+0.065298
+0.0639268
+0.0626022
+0.0613273
+0.059946
+0.0584659
+0.0570316
+0.0556466
+0.0543146
+0.0530397
+0.0518261
+0.0506781
+0.0496004
+0.0485976
+0.0476745
+0.0468357
+0.0460666
+0.0453893
+0.0448089
+0.0443293
+0.0439538
+0.0436851
+0.043525
+0.043475
+0.0435352
+0.043587
+0.0432913
+0.0431051
+0.0430297
+0.0429824
+0.0414988
+0.0400654
+0.0387028
+0.0374189
+0.036222
+0.0351163
+0.0340934
+0.0331837
+0.0323904
+0.03153
+0.0308017
+0.030215
+0.029752
+0.0294401
+0.0292892
+0.0293017
+0.0294314
+0.0296744
+0.0300754
+0.0305888
+0.0312174
+0.0319352
+0.0324917
+0.0331498
+0.0336171
+0.0337575
+0.0340386
+0.0344369
+0.034964
+0.0355897
+0.0363025
+0.0366129
+0.0365382
+0.0365753
+0.0367431
+0.03704
+0.0374629
+0.0380073
+0.0386458
+0.0393946
+0.0402489
+0.0412021
+0.0422474
+0.0433783
+0.0445882
+0.045865
+0.0468222
+0.0476929
+0.0486275
+0.0496322
+0.0506879
+0.0518041
+0.0529387
+0.0540998
+0.0553115
+0.0565437
+0.0578305
+0.0590946
+0.0604106
+0.0818754
+0.0801299
+0.0784068
+0.0767075
+0.0750338
+0.0733872
+0.0717698
+0.0701835
+0.0686304
+0.0671129
+0.0656335
+0.0641947
+0.0627994
+0.0614506
+0.0601513
+0.0589048
+0.0574756
+0.0560159
+0.0546051
+0.0532471
+0.051946
+0.0507062
+0.0495323
+0.0484291
+0.0474016
+0.0464546
+0.0455934
+0.044817
+0.0441205
+0.0435232
+0.0430293
+0.0426424
+0.0423653
+0.0422003
+0.0421486
+0.0422108
+0.0422204
+0.0419151
+0.0417227
+0.0416448
+0.0416653
+0.0410732
+0.0396472
+0.0382697
+0.0369707
+0.0357589
+0.0346434
+0.0336285
+0.0327059
+0.0319073
+0.0312355
+0.0305001
+0.0299075
+0.0294397
+0.0291245
+0.0289719
+0.0289846
+0.0290838
+0.0293297
+0.0297353
+0.0301833
+0.0307695
+0.0313916
+0.0319455
+0.032623
+0.0333093
+0.0338959
+0.0341759
+0.0345726
+0.0350976
+0.0357103
+0.0364057
+0.0364106
+0.0363355
+0.0363728
+0.0365416
+0.0368401
+0.0372652
+0.0378124
+0.0384542
+0.0392067
+0.040065
+0.0410224
+0.0420723
+0.0432077
+0.0444223
+0.0457036
+0.0470438
+0.0479655
+0.0488936
+0.049893
+0.0509444
+0.0520551
+0.0531845
+0.0543403
+0.0555584
+0.0567901
+0.0580736
+0.059393
+0.0607025
+0.081055
+0.079294
+0.0775523
+0.0758339
+0.0741404
+0.0724736
+0.0708353
+0.0692275
+0.0676525
+0.0661126
+0.0646102
+0.0631482
+0.0617292
+0.0603564
+0.0590331
+0.0577625
+0.0565482
+0.0550686
+0.0536329
+0.0522497
+0.0509231
+0.0496578
+0.0484585
+0.0473303
+0.0462783
+0.0453079
+0.0444244
+0.0436332
+0.0429261
+0.042312
+0.0418038
+0.0414054
+0.04112
+0.0409499
+0.0408967
+0.0409607
+0.0409082
+0.040593
+0.0403943
+0.0403139
+0.0403524
+0.0404869
+0.0392395
+0.037907
+0.0366483
+0.0354255
+0.0342991
+0.033279
+0.0323697
+0.0315626
+0.03089
+0.0303291
+0.0297331
+0.0292884
+0.0289715
+0.0288181
+0.028816
+0.0288985
+0.029146
+0.0294403
+0.0298808
+0.0304728
+0.0309813
+0.0315424
+0.0322284
+0.0329466
+0.0336738
+0.0344451
+0.0348457
+0.0353667
+0.035949
+0.0365402
+0.0363395
+0.0362643
+0.0363016
+0.0364707
+0.0367698
+0.0371957
+0.037744
+0.0383869
+0.0391407
+0.0400004
+0.0409593
+0.0420107
+0.0431478
+0.0443605
+0.0456337
+0.0469746
+0.0483359
+0.0492557
+0.0502479
+0.0512933
+0.0523966
+0.0535144
+0.0546676
+0.0558786
+0.0571195
+0.0583957
+0.0597248
+0.0610593
+0.0802795
+0.0785028
+0.0767474
+0.075014
+0.0733016
+0.0716153
+0.0699568
+0.0683284
+0.0667322
+0.0651705
+0.063646
+0.0621612
+0.0607192
+0.0593231
+0.0579761
+0.0566818
+0.0554439
+0.0541934
+0.0527339
+0.0513264
+0.0499753
+0.0486854
+0.0474615
+0.046309
+0.0452333
+0.04424
+0.0433348
+0.0425232
+0.0418007
+0.0411698
+0.0406473
+0.0402374
+0.0399437
+0.0397686
+0.0397138
+0.0397797
+0.0396729
+0.0393478
+0.0391428
+0.0390598
+0.0390995
+0.0392572
+0.0389056
+0.0375672
+0.0363104
+0.0351365
+0.0340551
+0.0330659
+0.0321561
+0.0313674
+0.0306906
+0.030158
+0.0297139
+0.0292696
+0.0289837
+0.0288304
+0.0287741
+0.0288161
+0.0289683
+0.0292841
+0.0297371
+0.0302884
+0.030722
+0.0312878
+0.0319792
+0.0327268
+0.0334559
+0.0342857
+0.0351339
+0.03557
+0.0361305
+0.0366008
+0.0364003
+0.0363253
+0.0363625
+0.0365314
+0.03683
+0.0372552
+0.0378026
+0.0384445
+0.0391972
+0.0400557
+0.0410133
+0.0420634
+0.0431907
+0.0443894
+0.0456618
+0.0470019
+0.0484041
+0.0497119
+0.0506952
+0.0517326
+0.0528188
+0.0539265
+0.0550801
+0.0562823
+0.0575304
+0.0587978
+0.060118
+0.0614715
+0.0795568
+0.0777635
+0.0759911
+0.0742411
+0.072515
+0.0708143
+0.0691367
+0.0674885
+0.065872
+0.0642894
+0.0627434
+0.0612368
+0.0597725
+0.0583537
+0.0569838
+0.0556665
+0.0544055
+0.0532048
+0.0519096
+0.0504791
+0.0491046
+0.0477911
+0.0465436
+0.0453677
+0.044269
+0.0432535
+0.0423271
+0.0414957
+0.0407563
+0.0401089
+0.0395724
+0.0391513
+0.0388493
+0.0386693
+0.038613
+0.0386808
+0.0385227
+0.0381878
+0.0379766
+0.037891
+0.0379319
+0.038099
+0.0383811
+0.037333
+0.0360694
+0.0348968
+0.0338078
+0.032829
+0.0319705
+0.0312179
+0.0305985
+0.0301135
+0.0297324
+0.0294137
+0.0291301
+0.0288976
+0.0287816
+0.0288018
+0.028954
+0.0292699
+0.0297336
+0.0301824
+0.0306178
+0.0311854
+0.0318791
+0.0326503
+0.0333604
+0.0341923
+0.0351125
+0.0357406
+0.0362985
+0.0367918
+0.0365925
+0.0365178
+0.0365549
+0.0367228
+0.0370199
+0.0374429
+0.0379827
+0.0386203
+0.0393696
+0.0402244
+0.0411781
+0.0422164
+0.0433314
+0.0445262
+0.0457948
+0.0471311
+0.0485296
+0.0499849
+0.0512301
+0.0522504
+0.0533264
+0.0544237
+0.0555761
+0.0567677
+0.0580089
+0.0592713
+0.0605808
+0.0619312
+0.0788883
+0.0770795
+0.075291
+0.0735243
+0.0717809
+0.0700627
+0.0683715
+0.0667093
+0.0650741
+0.0634716
+0.0619052
+0.0603777
+0.058892
+0.0574515
+0.0560596
+0.05472
+0.0534367
+0.0522138
+0.0510555
+0.0496956
+0.0482988
+0.0469628
+0.0456927
+0.0444943
+0.0433735
+0.0423365
+0.0413895
+0.040539
+0.0397909
+0.039142
+0.0385921
+0.0381601
+0.0378503
+0.0376655
+0.0376076
+0.0376772
+0.0374654
+0.037121
+0.0369036
+0.0368155
+0.0368577
+0.0370296
+0.0373238
+0.0371987
+0.0359385
+0.0347707
+0.0336902
+0.0327078
+0.0318461
+0.031115
+0.0304955
+0.0299689
+0.0295546
+0.0292962
+0.0291717
+0.0290489
+0.0289335
+0.0289536
+0.0291051
+0.0294193
+0.0298807
+0.0302046
+0.03067
+0.0312367
+0.0319292
+0.0326992
+0.0334084
+0.034239
+0.035158
+0.035961
+0.0364425
+0.0369542
+0.0369136
+0.0368237
+0.0368605
+0.0370271
+0.0373217
+0.0377414
+0.0382681
+0.038901
+0.039645
+0.040494
+0.0414416
+0.0424734
+0.0435818
+0.04477
+0.0460318
+0.0473615
+0.0487533
+0.0502022
+0.0517033
+0.0528461
+0.053914
+0.0550038
+0.0561531
+0.0573328
+0.0585619
+0.0598127
+0.0611106
+0.0624577
+0.0782754
+0.0764522
+0.0746486
+0.0728663
+0.0711068
+0.0693719
+0.0676634
+0.0659835
+0.0643342
+0.0627181
+0.0611341
+0.0595868
+0.0580809
+0.0566198
+0.0552069
+0.0538461
+0.0525414
+0.0512972
+0.0501148
+0.048993
+0.0475803
+0.0462235
+0.0449326
+0.0437133
+0.042572
+0.041515
+0.0405488
+0.0396802
+0.0389157
+0.0382543
+0.0376914
+0.0372491
+0.0369315
+0.0367421
+0.0366828
+0.0367542
+0.0365091
+0.0361555
+0.0359323
+0.0358419
+0.0358852
+0.0360617
+0.0363637
+0.0367745
+0.0358701
+0.0347004
+0.0336305
+0.0326472
+0.0317838
+0.0310429
+0.0304199
+0.0299036
+0.0294884
+0.0292318
+0.0291115
+0.0290779
+0.0291355
+0.0292691
+0.0294189
+0.0297299
+0.0300705
+0.0303852
+0.0308526
+0.0314409
+0.032129
+0.0328942
+0.0335994
+0.0344254
+0.0353396
+0.0361898
+0.0366683
+0.037152
+0.0370399
+0.0369969
+0.0370787
+0.0372692
+0.0375867
+0.0380278
+0.0385886
+0.0392608
+0.0400312
+0.0408795
+0.0418183
+0.042841
+0.0439401
+0.0451189
+0.0463713
+0.0476914
+0.0490739
+0.0505136
+0.0520057
+0.0535249
+0.0545796
+0.055664
+0.0568007
+0.0579752
+0.059186
+0.0604286
+0.0617136
+0.0630485
+0.077718
+0.0758817
+0.0740646
+0.0722683
+0.0704943
+0.068744
+0.0670195
+0.065323
+0.0636567
+0.0620229
+0.0604245
+0.0588641
+0.0573421
+0.0558616
+0.0544291
+0.0530483
+0.0517235
+0.0504494
+0.0492379
+0.0480956
+0.0469532
+0.0455777
+0.0442679
+0.0430298
+0.0418699
+0.0407946
+0.039811
+0.038926
+0.0381463
+0.037471
+0.0368961
+0.0364441
+0.0361195
+0.0359258
+0.0358651
+0.0359381
+0.0356618
+0.0352998
+0.0350711
+0.0349784
+0.0350228
+0.0352037
+0.035513
+0.0359335
+0.035888
+0.0347189
+0.0336517
+0.0326966
+0.0318441
+0.0311046
+0.0304829
+0.0299985
+0.0295846
+0.0293289
+0.029209
+0.0292074
+0.0292835
+0.0294721
+0.0297575
+0.0300773
+0.0303962
+0.0307213
+0.0311837
+0.0317682
+0.0324757
+0.0332327
+0.033931
+0.0347492
+0.0356551
+0.0365488
+0.0370226
+0.0374374
+0.0372663
+0.0372237
+0.0373049
+0.0374943
+0.0378099
+0.0382485
+0.038793
+0.039451
+0.0402177
+0.041081
+0.0420374
+0.043084
+0.0442145
+0.0454226
+0.0467022
+0.0480477
+0.0494472
+0.0508911
+0.0523868
+0.053927
+0.0553239
+0.0563989
+0.0575238
+0.0586883
+0.0598826
+0.061117
+0.0623877
+0.0637085
+0.0772176
+0.0753692
+0.0735395
+0.07173
+0.0699423
+0.0681782
+0.0664395
+0.0647282
+0.0630466
+0.061397
+0.0597823
+0.0582053
+0.0566686
+0.055176
+0.0537293
+0.0523256
+0.0509705
+0.0496751
+0.0484442
+0.0472827
+0.046196
+0.0450293
+0.043703
+0.0424485
+0.0412722
+0.040181
+0.039182
+0.0382824
+0.0374894
+0.0368015
+0.0362161
+0.0357554
+0.0354245
+0.035227
+0.0351651
+0.0352396
+0.0349316
+0.0345619
+0.0343284
+0.0342337
+0.034279
+0.0344638
+0.0347797
+0.035209
+0.0357675
+0.0348452
+0.0337819
+0.0328306
+0.0320012
+0.0313034
+0.0306904
+0.0302194
+0.0298418
+0.0295883
+0.0294695
+0.0294994
+0.0295747
+0.0298113
+0.0301159
+0.0305317
+0.0308579
+0.031208
+0.0316633
+0.0322391
+0.0329442
+0.0337106
+0.0343993
+0.0352066
+0.036101
+0.037034
+0.0375017
+0.0377887
+0.0376192
+0.037577
+0.0376554
+0.037843
+0.0381483
+0.0385692
+0.0391084
+0.0397612
+0.040522
+0.0413789
+0.0423286
+0.0433682
+0.0444915
+0.0456922
+0.0469645
+0.0483027
+0.049695
+0.0511319
+0.0526208
+0.0541573
+0.0557377
+0.0572034
+0.0583166
+0.0594621
+0.0606503
+0.0618752
+0.0631308
+0.0644363
+0.0767766
+0.0749172
+0.0730762
+0.071255
+0.0694551
+0.0676782
+0.0659263
+0.0642013
+0.0625056
+0.0608414
+0.0592115
+0.0576188
+0.0560665
+0.054558
+0.053097
+0.0516724
+0.0502997
+0.0489866
+0.0477379
+0.0465588
+0.0454548
+0.0444315
+0.0432419
+0.0419736
+0.0407836
+0.0396789
+0.038667
+0.0377551
+0.0369508
+0.0362523
+0.0356578
+0.0351899
+0.0348536
+0.0346528
+0.0345899
+0.0346656
+0.0343259
+0.0339496
+0.0337118
+0.0336154
+0.0336615
+0.0338497
+0.0341712
+0.0346081
+0.0351762
+0.035108
+0.0340529
+0.0331094
+0.0322871
+0.0315957
+0.0310035
+0.0305373
+0.0301981
+0.0299787
+0.0298887
+0.0299267
+0.0300234
+0.0302565
+0.0306173
+0.030921
+0.0313407
+0.0318383
+0.0322846
+0.0328496
+0.0335418
+0.0343092
+0.0349986
+0.0357924
+0.0365408
+0.0371365
+0.0378499
+0.0382405
+0.038095
+0.0380352
+0.0380951
+0.0382806
+0.0385897
+0.0390096
+0.0395428
+0.0401886
+0.0409414
+0.0417897
+0.0427303
+0.0437603
+0.0448738
+0.0460646
+0.0473269
+0.0486551
+0.0500376
+0.0514649
+0.0529444
+0.0544719
+0.0560434
+0.0576553
+0.0591762
+0.0603054
+0.0614821
+0.0627009
+0.0639402
+0.0652296
+0.0763958
+0.0745269
+0.072676
+0.0708445
+0.0690339
+0.067246
+0.0654825
+0.0637455
+0.0620372
+0.0603602
+0.0587169
+0.0571105
+0.0555439
+0.0540208
+0.0525449
+0.0511048
+0.0497165
+0.0483875
+0.0471229
+0.0459281
+0.0448086
+0.0437701
+0.0428187
+0.0416088
+0.040408
+0.0392928
+0.0382706
+0.037345
+0.0365229
+0.0358162
+0.0352272
+0.0347535
+0.0344129
+0.0342096
+0.0341458
+0.0342225
+0.033826
+0.0334698
+0.0332285
+0.0331307
+0.0331775
+0.0333684
+0.0336945
+0.0341375
+0.0347133
+0.0354155
+0.0344613
+0.0335292
+0.0327176
+0.0320354
+0.0314663
+0.0310071
+0.0306976
+0.0304875
+0.0304283
+0.0304808
+0.0306226
+0.0308301
+0.0309708
+0.0312368
+0.0316523
+0.0322118
+0.0327802
+0.0334415
+0.0340656
+0.0347891
+0.0353794
+0.0359776
+0.0364539
+0.037051
+0.037766
+0.0385923
+0.0386603
+0.0385951
+0.0386542
+0.038837
+0.0391418
+0.0395656
+0.0400924
+0.0407294
+0.0414725
+0.0423101
+0.0432394
+0.0442576
+0.0453588
+0.0465372
+0.047787
+0.0490967
+0.050461
+0.051882
+0.0533551
+0.0548721
+0.0564325
+0.0580336
+0.0596721
+0.0612155
+0.062375
+0.06358
+0.0648136
+0.0660859
+0.0760762
+0.0741993
+0.07234
+0.0704998
+0.0686801
+0.0668827
+0.0651093
+0.0633621
+0.0616433
+0.0599552
+0.0583005
+0.0566823
+0.0551036
+0.0535679
+0.0520792
+0.0506257
+0.0492239
+0.0478812
+0.046603
+0.0453944
+0.0442614
+0.0432098
+0.0422457
+0.0413569
+0.0401454
+0.0390145
+0.0379765
+0.0370391
+0.0362101
+0.0354971
+0.0349073
+0.0344425
+0.0340989
+0.0338937
+0.0338293
+0.0339067
+0.0334603
+0.0331022
+0.0328775
+0.0327786
+0.032826
+0.0330189
+0.0333547
+0.0338026
+0.034384
+0.0350928
+0.035
+0.0340827
+0.0332845
+0.0326142
+0.0320724
+0.031622
+0.0313186
+0.0311426
+0.0310846
+0.0311658
+0.0313133
+0.0313005
+0.0314391
+0.0317012
+0.0321107
+0.0326623
+0.0333068
+0.0338165
+0.0343276
+0.0349686
+0.0355559
+0.0360226
+0.0364985
+0.0370949
+0.0378091
+0.0386344
+0.0393335
+0.0392695
+0.0393276
+0.0395073
+0.0398069
+0.0402237
+0.0407525
+0.0413793
+0.0421096
+0.0429318
+0.0438479
+0.0448523
+0.0459393
+0.0471031
+0.0483298
+0.0496185
+0.0509688
+0.052376
+0.0538356
+0.0553434
+0.0568956
+0.0584887
+0.0601176
+0.0617786
+0.0633312
+0.0645183
+0.0657375
+0.067003
+0.0756467
+0.0738384
+0.0720513
+0.0702217
+0.0683946
+0.0665895
+0.0648082
+0.0630526
+0.0613251
+0.059628
+0.057964
+0.056336
+0.0547474
+0.0532015
+0.0517022
+0.0502377
+0.0488247
+0.0474708
+0.0461811
+0.0449613
+0.0438171
+0.0427545
+0.04178
+0.0408996
+0.0399812
+0.0388456
+0.0378029
+0.036861
+0.0360279
+0.0353113
+0.0347183
+0.034251
+0.0339055
+0.033699
+0.0336343
+0.0337122
+0.0332352
+0.0328747
+0.0326485
+0.0325489
+0.0325966
+0.0327908
+0.0331289
+0.0335808
+0.034166
+0.0348792
+0.0356546
+0.0347546
+0.0339722
+0.0333157
+0.0327896
+0.0323737
+0.0320775
+0.0319147
+0.0318719
+0.0319656
+0.0319273
+0.0319147
+0.0320506
+0.0323077
+0.0327097
+0.0332514
+0.0336628
+0.034142
+0.0346482
+0.0352835
+0.0358235
+0.0361756
+0.0366554
+0.0372553
+0.0379656
+0.0387867
+0.0397118
+0.0400525
+0.0401094
+0.0402856
+0.0405795
+0.0409885
+0.0415092
+0.0421195
+0.0428293
+0.0436376
+0.0445392
+0.0455283
+0.0465996
+0.0477474
+0.0489578
+0.0502305
+0.0515648
+0.0529561
+0.0544001
+0.0558927
+0.0574301
+0.0590087
+0.0606255
+0.0622773
+0.0639615
+0.0655164
+0.0667174
+0.0679678
+0.0751819
+0.0733655
+0.071562
+0.0697804
+0.0680228
+0.066291
+0.0645799
+0.062818
+0.0610838
+0.0593798
+0.0577087
+0.0560733
+0.054477
+0.0529232
+0.0514158
+0.0499429
+0.0485213
+0.0471586
+0.0458602
+0.0446316
+0.0434787
+0.0424077
+0.0414249
+0.0405369
+0.0397498
+0.0387998
+0.0377558
+0.0368128
+0.0359785
+0.0352609
+0.034667
+0.0341991
+0.033853
+0.0336462
+0.0335814
+0.0336541
+0.0331537
+0.0327924
+0.0325655
+0.0324657
+0.0325135
+0.0327082
+0.0330472
+0.0335001
+0.0340867
+0.0348015
+0.0356112
+0.035549
+0.0347845
+0.0341436
+0.0336305
+0.0332291
+0.0329647
+0.0328063
+0.0327388
+0.0325462
+0.0325004
+0.0326022
+0.0327973
+0.0330487
+0.0333142
+0.0335708
+0.0339671
+0.0344983
+0.035103
+0.0357284
+0.0361096
+0.0364589
+0.036935
+0.0375305
+0.0382356
+0.0390511
+0.0399701
+0.0409332
+0.0409889
+0.0411614
+0.041449
+0.0418495
+0.0423563
+0.0429506
+0.0436469
+0.0444404
+0.0453259
+0.0462983
+0.0473521
+0.0484821
+0.0496747
+0.0509294
+0.0522458
+0.0536195
+0.0550461
+0.0565216
+0.0580424
+0.0596048
+0.0612058
+0.0628424
+0.0645118
+0.0662117
+0.067754
+0.0689856
+0.0747766
+0.07295
+0.0711359
+0.0693435
+0.0675745
+0.0658308
+0.0641147
+0.0624282
+0.0607739
+0.0591544
+0.0575357
+0.0558953
+0.0542937
+0.0527346
+0.0512211
+0.0497428
+0.0483154
+0.0469467
+0.0456423
+0.0444076
+0.0432488
+0.0421719
+0.0411836
+0.0402902
+0.0394982
+0.0388139
+0.0378357
+0.0368947
+0.0360624
+0.0353464
+0.0347541
+0.0342873
+0.0339421
+0.0337359
+0.0336712
+0.0337163
+0.0332168
+0.0328561
+0.0326297
+0.0325301
+0.0325778
+0.0327722
+0.0331105
+0.0335626
+0.0341481
+0.0348616
+0.03567
+0.0364579
+0.0357129
+0.035089
+0.0345899
+0.0341998
+0.0339468
+0.0337664
+0.0334364
+0.0332479
+0.0332031
+0.0332815
+0.0333616
+0.0334978
+0.0337592
+0.0340099
+0.0343957
+0.0349092
+0.0355353
+0.0361739
+0.0365251
+0.0368704
+0.0373413
+0.0379304
+0.0386282
+0.0394356
+0.0403458
+0.0413522
+0.041957
+0.0421255
+0.0424066
+0.0427981
+0.0432938
+0.0438754
+0.0445573
+0.0453348
+0.0462033
+0.0471575
+0.0481926
+0.0493033
+0.0504765
+0.0517117
+0.0530088
+0.0543632
+0.0557707
+0.0572276
+0.05873
+0.0602747
+0.0618583
+0.0634781
+0.0651312
+0.0668153
+0.0685281
+0.0700571
+0.0744335
+0.0725983
+0.0707752
+0.0689733
+0.0671946
+0.0654409
+0.0637142
+0.0620168
+0.0603512
+0.0587201
+0.0571265
+0.0555735
+0.0540647
+0.0526039
+0.051104
+0.0496213
+0.0481926
+0.0468228
+0.0455173
+0.0442817
+0.0431221
+0.0420448
+0.0410545
+0.040158
+0.0393631
+0.0386761
+0.0380418
+0.0371061
+0.0362786
+0.035567
+0.0349783
+0.0345146
+0.0341717
+0.0339669
+0.0339027
+0.03391
+0.0334134
+0.0330549
+0.0328389
+0.0327413
+0.0327887
+0.0329818
+0.033318
+0.0337673
+0.0343493
+0.0350588
+0.0358627
+0.0367793
+0.0367486
+0.0361425
+0.0356582
+0.0352799
+0.0349386
+0.0345602
+0.0342279
+0.0339618
+0.0338358
+0.0338513
+0.0339251
+0.0340591
+0.034315
+0.0345629
+0.0349426
+0.0354481
+0.0360649
+0.0367449
+0.0370656
+0.0374059
+0.0378702
+0.0384512
+0.0391397
+0.0399367
+0.0408358
+0.0418304
+0.0428666
+0.0431794
+0.0434536
+0.0438358
+0.0443199
+0.0448882
+0.0455549
+0.0463157
+0.0471661
+0.0481013
+0.0491164
+0.0502067
+0.0513593
+0.0525738
+0.05385
+0.0551838
+0.056571
+0.0580077
+0.0594905
+0.0610158
+0.0625807
+0.0641823
+0.0658178
+0.0674847
+0.0691809
+0.0709042
+0.0741536
+0.0723113
+0.0704807
+0.0686711
+0.0668844
+0.0651223
+0.0633869
+0.0616805
+0.0600056
+0.0583649
+0.0567612
+0.055198
+0.0536787
+0.052207
+0.0507873
+0.0494239
+0.0481217
+0.046795
+0.0454887
+0.0442523
+0.0430919
+0.0420138
+0.0410228
+0.0401255
+0.03933
+0.0386424
+0.0380686
+0.0374446
+0.0366248
+0.03592
+0.0353372
+0.0348783
+0.034539
+0.0343364
+0.0342729
+0.0342259
+0.033734
+0.0333789
+0.033165
+0.0330836
+0.0331304
+0.0333216
+0.0336463
+0.0340899
+0.0346665
+0.0353696
+0.0361872
+0.0370958
+0.0378827
+0.0372951
+0.0367288
+0.0361055
+0.0356063
+0.0352364
+0.0349157
+0.034655
+0.0345315
+0.0345467
+0.0346184
+0.0347497
+0.0349993
+0.0352436
+0.035616
+0.0361121
+0.0367177
+0.0374145
+0.0377257
+0.0380602
+0.0385166
+0.0390879
+0.0397655
+0.0405501
+0.0414359
+0.0424164
+0.0434853
+0.0441514
+0.0445838
+0.0449564
+0.0454285
+0.0459831
+0.0466342
+0.0473777
+0.0482093
+0.0491246
+0.0501191
+0.051188
+0.0523189
+0.0535117
+0.0547661
+0.0560781
+0.0574436
+0.0588591
+0.0603209
+0.0618258
+0.0633707
+0.0649528
+0.0665693
+0.0682179
+0.0698963
+0.0716024
+0.0739375
+0.0720898
+0.0702533
+0.0684378
+0.0666447
+0.0648761
+0.063134
+0.0614206
+0.0597384
+0.0580901
+0.0564787
+0.0549074
+0.0533798
+0.0518997
+0.0504713
+0.0490991
+0.0477881
+0.0465432
+0.04537
+0.0442742
+0.043173
+0.0420969
+0.0411079
+0.0402126
+0.0394188
+0.0387327
+0.0381603
+0.0377067
+0.0370973
+0.0364017
+0.0358268
+0.0353672
+0.0350327
+0.0348329
+0.0347703
+0.0346776
+0.0341922
+0.0338419
+0.033631
+0.0335506
+0.0335969
+0.0337854
+0.0341057
+0.0345434
+0.0351125
+0.0358069
+0.0366193
+0.0375249
+0.0383992
+0.0382003
+0.0374735
+0.0368628
+0.036374
+0.036012
+0.0357243
+0.0354694
+0.0353488
+0.0353637
+0.0354178
+0.0355462
+0.0357906
+0.0360297
+0.0363992
+0.03689
+0.037483
+0.0381926
+0.0384977
+0.0388272
+0.0392747
+0.0398352
+0.0405002
+0.0412709
+0.0421415
+0.043106
+0.0441582
+0.0451142
+0.0455905
+0.0461538
+0.0466138
+0.0471545
+0.0477896
+0.0485153
+0.0493278
+0.0502228
+0.0511959
+0.0522428
+0.0533513
+0.0545215
+0.0557532
+0.0570425
+0.0583855
+0.0597787
+0.0612185
+0.0627019
+0.0642257
+0.0657872
+0.0673837
+0.0690129
+0.0706724
+0.0723602
+0.0737859
+0.0719343
+0.0700937
+0.0682739
+0.0664765
+0.0647033
+0.0629563
+0.061238
+0.0595506
+0.057897
+0.05628
+0.054703
+0.0531695
+0.0516834
+0.0502489
+0.0488705
+0.0475531
+0.0463019
+0.0451225
+0.0440205
+0.0430019
+0.0420729
+0.0412394
+0.0404183
+0.0396286
+0.0389463
+0.0383771
+0.037926
+0.0375974
+0.037007
+0.036433
+0.0359752
+0.0356463
+0.03545
+0.0353885
+0.0352599
+0.0347826
+0.0344384
+0.0342274
+0.0341326
+0.0341781
+0.0343634
+0.0346715
+0.0348899
+0.0352434
+0.035728
+0.0363384
+0.0370684
+0.0379111
+0.0388591
+0.0383291
+0.0377322
+0.0372548
+0.0369015
+0.0366461
+0.0363977
+0.0362802
+0.0362947
+0.0363219
+0.036447
+0.0366855
+0.0369187
+0.0372794
+0.0377588
+0.0383384
+0.0390324
+0.0393731
+0.0397004
+0.0401381
+0.0406867
+0.0413381
+0.0420934
+0.0429474
+0.0438942
+0.0449279
+0.0460427
+0.046616
+0.0471697
+0.0478174
+0.0483945
+0.0490136
+0.0497215
+0.0505146
+0.0513888
+0.0523403
+0.0533647
+0.0544524
+0.0555994
+0.0568077
+0.0580736
+0.0593933
+0.0607633
+0.0621804
+0.0636413
+0.0651432
+0.0666832
+0.0682588
+0.0698675
+0.0715072
+0.0731757
+0.0736992
+0.0718452
+0.0700024
+0.0681801
+0.0663801
+0.0646043
+0.0628546
+0.0611334
+0.059443
+0.0577863
+0.0561662
+0.0545859
+0.053049
+0.0515594
+0.0501214
+0.0487394
+0.0474183
+0.0461635
+0.0449804
+0.0438748
+0.0428528
+0.0419205
+0.0410839
+0.0403489
+0.0396998
+0.0391613
+0.0387168
+0.0382697
+0.0379441
+0.0377238
+0.0371529
+0.036704
+0.0363818
+0.0361895
+0.0361292
+0.0359421
+0.035474
+0.0351365
+0.0346971
+0.0343882
+0.034217
+0.0341857
+0.0342704
+0.0344914
+0.0348489
+0.0353389
+0.0359559
+0.0366935
+0.0375446
+0.0385017
+0.0392883
+0.0387063
+0.038241
+0.0378969
+0.0376729
+0.0374314
+0.037317
+0.0373143
+0.0373327
+0.0374545
+0.0376866
+0.0379137
+0.038265
+0.0387321
+0.0392974
+0.0399748
+0.0403486
+0.040673
+0.0411003
+0.0416363
+0.042273
+0.0430119
+0.043848
+0.0447757
+0.0457895
+0.0468839
+0.0477202
+0.0482612
+0.0488944
+0.0496164
+0.0502934
+0.0509835
+0.0517572
+0.0526109
+0.0535406
+0.0545425
+0.0556127
+0.0567413
+0.0579259
+0.0591678
+0.0604637
+0.06181
+0.0632036
+0.0646414
+0.0661206
+0.0676383
+0.0691922
+0.0707797
+0.0723987
+0.0740471
+0.0736775
+0.0718229
+0.0699795
+0.0681566
+0.066356
+0.0645795
+0.0628291
+0.0611072
+0.0594161
+0.0577586
+0.0561377
+0.0545565
+0.0530188
+0.0515284
+0.0500894
+0.0487065
+0.0473845
+0.0461288
+0.0449448
+0.0438383
+0.0428154
+0.0418823
+0.0410449
+0.0403092
+0.0396595
+0.0391204
+0.038698
+0.0383961
+0.0382176
+0.0381642
+0.0379856
+0.0375467
+0.0372317
+0.0370124
+0.0365747
+0.0361587
+0.0354586
+0.0348823
+0.034436
+0.0341247
+0.0339522
+0.0339206
+0.034006
+0.0342287
+0.034589
+0.0350826
+0.035704
+0.0364467
+0.0373035
+0.0382666
+0.0393283
+0.0397772
+0.0393246
+0.03899
+0.0387765
+0.0385618
+0.0384345
+0.0384241
+0.038442
+0.0385603
+0.0387857
+0.0390064
+0.039348
+0.0398024
+0.0403526
+0.0410127
+0.0414172
+0.0417357
+0.0421545
+0.0426772
+0.0432986
+0.0440204
+0.0448376
+0.0457453
+0.0467381
+0.0478107
+0.048838
+0.0494257
+0.0500442
+0.0507498
+0.0515389
+0.0523069
+0.0530613
+0.0538943
+0.0548022
+0.0557815
+0.0568283
+0.0579392
+0.0591041
+0.0603218
+0.0615934
+0.0629155
+0.0642852
+0.0656993
+0.0671552
+0.0686501
+0.0701815
+0.0717472
+0.0733448
+0.0749725
+0.0737209
+0.0718674
+0.0700252
+0.0682035
+0.0664041
+0.064629
+0.06288
+0.0611595
+0.0594699
+0.0578139
+0.0561946
+0.0546151
+0.0530791
+0.0515904
+0.0501532
+0.0487721
+0.047452
+0.046198
+0.0450158
+0.0439112
+0.0428901
+0.0419586
+0.0411226
+0.0403859
+0.0397401
+0.0392021
+0.0387806
+0.0384793
+0.0383012
+0.0382479
+0.03832
+0.0376074
+0.0369177
+0.0363471
+0.0359014
+0.0355852
+0.0353279
+0.0347494
+0.0343014
+0.0339889
+0.0338157
+0.0337839
+0.0338815
+0.034105
+0.0344666
+0.0349619
+0.0355854
+0.0363306
+0.03719
+0.038156
+0.0392206
+0.0403762
+0.0404978
+0.040173
+0.0399636
+0.0397651
+0.0396341
+0.039624
+0.0396413
+0.039756
+0.0399747
+0.0401889
+0.0405205
+0.0409619
+0.0414968
+0.0421389
+0.0425716
+0.0428816
+0.043294
+0.0438031
+0.0444088
+0.0451127
+0.0459106
+0.0467974
+0.0477684
+0.0488183
+0.0498249
+0.0506582
+0.0512618
+0.0519509
+0.0527221
+0.0535718
+0.0544223
+0.0552348
+0.0561211
+0.0570777
+0.0581012
+0.0591881
+0.0603351
+0.0615322
+0.0627792
+0.0640769
+0.0654223
+0.0668124
+0.0682445
+0.069716
+0.0712245
+0.0727677
+0.0743435
+0.0759497
+0.0738293
+0.0719786
+0.0701393
+0.0683207
+0.0665245
+0.0647526
+0.063007
+0.0612901
+0.0596042
+0.0579521
+0.0563367
+0.0547614
+0.0532295
+0.0517452
+0.0503124
+0.0489358
+0.0476202
+0.0463691
+0.0451879
+0.0440839
+0.0430632
+0.0421317
+0.0412955
+0.0405606
+0.0399291
+0.0393936
+0.0389742
+0.0386744
+0.0384972
+0.0384442
+0.0378896
+0.0370759
+0.0363761
+0.0357969
+0.0353442
+0.0350229
+0.0348367
+0.0347392
+0.034291
+0.0339784
+0.0338051
+0.0337734
+0.0338741
+0.0340977
+0.0344593
+0.0349547
+0.0355784
+0.0363237
+0.0371832
+0.0381494
+0.0392143
+0.04037
+0.0416091
+0.04142
+0.0412127
+0.0410428
+0.0409159
+0.0409061
+0.0409229
+0.041034
+0.041246
+0.0414535
+0.0417751
+0.0422028
+0.0427221
+0.0433461
+0.0437898
+0.0440912
+0.0444985
+0.0450075
+0.0455972
+0.0462831
+0.0470611
+0.0479266
+0.0488751
+0.0499019
+0.050887
+0.05188
+0.0525427
+0.0532151
+0.0539682
+0.0547986
+0.0557028
+0.0566283
+0.0574931
+0.0584273
+0.0594276
+0.0604907
+0.0616134
+0.0627924
+0.0640181
+0.0652912
+0.066612
+0.0679778
+0.0693858
+0.0708337
+0.0723189
+0.0738392
+0.0753926
+0.0762555
+0.0740024
+0.0721562
+0.0703215
+0.0685077
+0.0667165
+0.0649499
+0.0632098
+0.0614985
+0.0598185
+0.0581724
+0.0565634
+0.0549936
+0.0534656
+0.0519849
+0.0505557
+0.0491827
+0.0478705
+0.0466244
+0.0454498
+0.0443524
+0.0433379
+0.0424125
+0.041582
+0.0408522
+0.0402252
+0.0396938
+0.0392775
+0.0389801
+0.0388043
+0.0384203
+0.0374903
+0.0366677
+0.03596
+0.0353739
+0.0349158
+0.0345905
+0.034402
+0.0343491
+0.0344121
+0.0341089
+0.0339363
+0.0339047
+0.034005
+0.0342277
+0.034588
+0.0350816
+0.035703
+0.0364458
+0.0373025
+0.0382657
+0.0393274
+0.0404799
+0.0417157
+0.0427389
+0.042538
+0.0423953
+0.0422724
+0.0422629
+0.0422792
+0.0423868
+0.0425809
+0.042782
+0.0430937
+0.0435083
+0.0440122
+0.0446181
+0.0450805
+0.0453733
+0.0457693
+0.0462656
+0.0468534
+0.0475212
+0.0482792
+0.0491234
+0.0500492
+0.0507685
+0.0514613
+0.0521973
+0.0530115
+0.0539024
+0.0548664
+0.0558997
+0.056968
+0.0579213
+0.0589147
+0.0598267
+0.0608039
+0.0618434
+0.062942
+0.0640966
+0.0653043
+0.0665554
+0.0678516
+0.0691929
+0.0705768
+0.0720006
+0.0734623
+0.0749594
+0.0756126
+0.0761827
+0.0742377
+0.0723896
+0.0705612
+0.0687539
+0.0669695
+0.0652099
+0.0634772
+0.0617735
+0.0601014
+0.058463
+0.0568593
+0.055296
+0.0537764
+0.0523045
+0.0508843
+0.0495204
+0.0482174
+0.0469806
+0.0458151
+0.0447266
+0.0437208
+0.0428037
+0.0419809
+0.0412582
+0.0406375
+0.0401115
+0.0396996
+0.0394054
+0.0391894
+0.0381525
+0.0372158
+0.0363871
+0.0356738
+0.035083
+0.0346209
+0.0342929
+0.0341027
+0.0340494
+0.0341129
+0.0343165
+0.0342075
+0.0341762
+0.0342757
+0.0344966
+0.0348541
+0.035344
+0.0359609
+0.0366985
+0.0375495
+0.0385064
+0.0395617
+0.0407076
+0.0419367
+0.0432277
+0.0439326
+0.0438156
+0.0436967
+0.0436875
+0.0437033
+0.0438073
+0.0439775
+0.0441722
+0.0444742
+0.0448811
+0.0453715
+0.0455911
+0.0458053
+0.0461137
+0.0465233
+0.0470314
+0.047635
+0.0482719
+0.0488233
+0.0494146
+0.0500884
+0.0507677
+0.0514605
+0.052236
+0.0530906
+0.0540206
+0.0550222
+0.0560813
+0.0571766
+0.0583336
+0.0595374
+0.0607938
+0.0621022
+0.0632431
+0.0643177
+0.0654481
+0.0666313
+0.0678647
+0.0691385
+0.0704553
+0.0718148
+0.0732146
+0.0745985
+0.0750373
+0.0755372
+0.0760968
+0.0745263
+0.0726856
+0.0708647
+0.0690654
+0.0672893
+0.0655383
+0.0638145
+0.06212
+0.0604575
+0.058829
+0.0572356
+0.0556828
+0.0541741
+0.0527133
+0.0513045
+0.049952
+0.0486606
+0.0474353
+0.0462813
+0.045204
+0.0442091
+0.0433023
+0.0424892
+0.0417752
+0.0411623
+0.0406432
+0.0402367
+0.0399465
+0.0390501
+0.0380094
+0.037069
+0.0362369
+0.0355206
+0.0349272
+0.0344631
+0.0341335
+0.0339425
+0.0338889
+0.0339527
+0.0341572
+0.0344999
+0.0345846
+0.0346829
+0.0349013
+0.0352547
+0.0357391
+0.0363493
+0.0370791
+0.0379215
+0.0388694
+0.039915
+0.041051
+0.0422702
+0.0435513
+0.0448974
+0.0452973
+0.0451824
+0.0451735
+0.0451821
+0.0452828
+0.0454369
+0.0455999
+0.0454044
+0.0453141
+0.0453297
+0.0454509
+0.0456658
+0.0459751
+0.0463859
+0.0468956
+0.0475009
+0.0481345
+0.0486925
+0.0492853
+0.0499609
+0.0507101
+0.0515416
+0.052327
+0.0531802
+0.0541087
+0.0551086
+0.0561762
+0.0573077
+0.0584957
+0.0597386
+0.0610349
+0.062352
+0.0637065
+0.0651064
+0.0665465
+0.0680031
+0.0692119
+0.0704682
+0.0717623
+0.0730975
+0.0741983
+0.0745751
+0.0750141
+0.0755142
+0.076074
+0.0748779
+0.073046
+0.0712344
+0.0694447
+0.0676785
+0.0659379
+0.0642247
+0.0625414
+0.0608904
+0.0592739
+0.0576927
+0.0561526
+0.0546569
+0.0532093
+0.0518139
+0.0504751
+0.0491975
+0.0479858
+0.0468454
+0.0457814
+0.0447993
+0.0439047
+0.0431029
+0.0423993
+0.0417956
+0.0412844
+0.0408843
+0.040154
+0.0390333
+0.0379922
+0.0370514
+0.0362189
+0.0355022
+0.0349085
+0.0344442
+0.0341144
+0.0339232
+0.0338696
+0.0339335
+0.0341381
+0.034481
+0.034958
+0.035222
+0.035437
+0.0357851
+0.0362624
+0.036864
+0.0375838
+0.0384151
+0.0393511
+0.0403843
+0.0415074
+0.0427135
+0.0439817
+0.0453151
+0.0467132
+0.0467235
+0.0467149
+0.0467155
+0.0462662
+0.0458647
+0.0455652
+0.0453696
+0.0452792
+0.0452948
+0.0454161
+0.0456312
+0.0459407
+0.0463518
+0.0468618
+0.0474676
+0.0480824
+0.04866
+0.0492532
+0.0499292
+0.0506789
+0.0515109
+0.0524213
+0.0533596
+0.054285
+0.0552818
+0.0563461
+0.0574743
+0.0586588
+0.0598984
+0.0611913
+0.0625343
+0.0639241
+0.0653578
+0.0668326
+0.068322
+0.0698358
+0.0713847
+0.0729665
+0.0739259
+0.0742395
+0.0746162
+0.0750549
+0.0755547
+0.0761142
+0.0752916
+0.0734701
+0.0716692
+0.0698906
+0.068136
+0.0664073
+0.0647066
+0.0630362
+0.0613985
+0.0597957
+0.0582287
+0.0567031
+0.0552223
+0.05379
+0.0524101
+0.0510869
+0.0498249
+0.0486289
+0.0475039
+0.046455
+0.0454875
+0.0446067
+0.0438178
+0.0431258
+0.0425324
+0.0420301
+0.0414334
+0.0402341
+0.0391207
+0.0380916
+0.0371534
+0.0363232
+0.0356086
+0.0350167
+0.0345538
+0.0342251
+0.0340345
+0.0339844
+0.0340555
+0.0342594
+0.034601
+0.0350764
+0.0356802
+0.0360979
+0.0364397
+0.0369086
+0.0374997
+0.0382075
+0.0390257
+0.0399473
+0.0409654
+0.0420731
+0.0432634
+0.044516
+0.0458338
+0.0472165
+0.0477808
+0.0471657
+0.0466261
+0.0461842
+0.0458428
+0.0456042
+0.0454335
+0.0453433
+0.0453588
+0.0454799
+0.0456947
+0.0460038
+0.0464144
+0.0469237
+0.0475287
+0.04813
+0.048726
+0.0493185
+0.0499936
+0.0507423
+0.0515733
+0.0524827
+0.0534663
+0.0545203
+0.0555409
+0.0566003
+0.0577235
+0.0589031
+0.0601376
+0.0614255
+0.0627634
+0.0641483
+0.0655771
+0.0670471
+0.0685555
+0.0701
+0.0716781
+0.0732878
+0.0739789
+0.0742923
+0.0746687
+0.0751071
+0.0756065
+0.0761657
+0.0757665
+0.0739566
+0.0721679
+0.0704019
+0.0686604
+0.0669452
+0.0652586
+0.0636026
+0.0619799
+0.0603925
+0.0588414
+0.0573321
+0.055868
+0.0544526
+0.05309
+0.0517842
+0.0505396
+0.0493609
+0.048253
+0.0472207
+0.0462692
+0.0454036
+0.0446287
+0.0439496
+0.0433674
+0.042875
+0.0416264
+0.0404328
+0.0393251
+0.0383015
+0.0373685
+0.0365432
+0.035833
+0.0352449
+0.034785
+0.0344585
+0.0342693
+0.0342195
+0.0343002
+0.0345026
+0.0348419
+0.0353141
+0.0359139
+0.0366351
+0.0372119
+0.0376712
+0.0382506
+0.0389447
+0.0397477
+0.0406529
+0.0416538
+0.0427437
+0.0439158
+0.0451503
+0.0464501
+0.047815
+0.0477251
+0.0471077
+0.0465674
+0.0461249
+0.0457831
+0.0455442
+0.0454099
+0.045381
+0.0454578
+0.0456356
+0.0458496
+0.0461577
+0.0465669
+0.0470746
+0.0476776
+0.0482771
+0.0488903
+0.0494808
+0.0501537
+0.0509001
+0.0517285
+0.0526352
+0.0536161
+0.0546672
+0.0557845
+0.0569378
+0.0580545
+0.0592274
+0.0604553
+0.0617366
+0.0630679
+0.0644462
+0.0658686
+0.0673322
+0.0688344
+0.0703727
+0.0719449
+0.0735487
+0.0740871
+0.0744001
+0.074776
+0.0752138
+0.0757125
+0.0762709
+0.0763013
+0.0745044
+0.0727292
+0.0709771
+0.0692501
+0.0675499
+0.0658787
+0.0642388
+0.0626325
+0.0610621
+0.0595285
+0.0580371
+0.0565912
+0.0551944
+0.0538505
+0.0525635
+0.0513379
+0.050178
+0.0490885
+0.0480741
+0.0471399
+0.0462905
+0.0455308
+0.0448653
+0.0442951
+0.0431965
+0.0419332
+0.0407485
+0.0396497
+0.0386346
+0.0377099
+0.0368923
+0.0361889
+0.0356067
+0.0351515
+0.0348285
+0.0346412
+0.034592
+0.0346718
+0.0348721
+0.0352078
+0.0356751
+0.036269
+0.0369832
+0.0378111
+0.0385434
+0.0391099
+0.039789
+0.0405753
+0.0414625
+0.0424443
+0.0435143
+0.0446663
+0.0458805
+0.0471602
+0.0483395
+0.0476899
+0.0471333
+0.0466034
+0.0461613
+0.0458198
+0.045581
+0.0454468
+0.0454179
+0.0454947
+0.0456765
+0.0459621
+0.0463496
+0.0468131
+0.0473265
+0.0479263
+0.048494
+0.0490482
+0.0496769
+0.0503365
+0.0510816
+0.0519085
+0.0528134
+0.0537916
+0.0548394
+0.0559533
+0.0571296
+0.0583556
+0.0595832
+0.0608503
+0.0621234
+0.0634466
+0.0648169
+0.0662313
+0.067687
+0.0691815
+0.0707123
+0.0722771
+0.0738737
+0.0742599
+0.0745722
+0.0749472
+0.075384
+0.0758816
+0.0764387
+0.0768948
+0.0751122
+0.0733516
+0.0716148
+0.0699035
+0.0682196
+0.0665653
+0.0649426
+0.0633542
+0.0618021
+0.0602874
+0.0588152
+0.0573889
+0.056012
+0.0546882
+0.0534215
+0.0522159
+0.051076
+0.050006
+0.0490107
+0.0480946
+0.0472624
+0.0465186
+0.0458674
+0.0449256
+0.0436024
+0.0423512
+0.0411786
+0.0400915
+0.0390879
+0.0381742
+0.0373667
+0.0366724
+0.036098
+0.0356491
+0.0353306
+0.035146
+0.0350975
+0.0351762
+0.0353736
+0.0357046
+0.0361655
+0.0367514
+0.0374565
+0.0382741
+0.0391973
+0.0400706
+0.0407338
+0.0415021
+0.0423699
+0.0433312
+0.0443798
+0.0455098
+0.0467022
+0.04796
+0.0482045
+0.0475531
+0.0469948
+0.046533
+0.0461707
+0.0458959
+0.0457185
+0.0455891
+0.0455603
+0.0456368
+0.0458181
+0.0461028
+0.0464891
+0.0469513
+0.0474744
+0.048086
+0.0486274
+0.0491801
+0.049823
+0.0504834
+0.0512263
+0.0520509
+0.0529534
+0.0539291
+0.0549742
+0.0560855
+0.057259
+0.0584911
+0.0597781
+0.0611165
+0.0624949
+0.0638664
+0.065259
+0.066664
+0.0681105
+0.0695959
+0.0711178
+0.0726738
+0.0742239
+0.0744719
+0.0747766
+0.0751258
+0.0755352
+0.0759951
+0.0765151
+0.0775457
+0.0757784
+0.0740337
+0.0723132
+0.0706189
+0.0689525
+0.0673161
+0.065712
+0.0641427
+0.0626101
+0.0611154
+0.0596636
+0.0582581
+0.0569023
+0.0555997
+0.0543542
+0.0531698
+0.0520507
+0.0510012
+0.0500257
+0.0491286
+0.0483142
+0.0475868
+0.0467961
+0.0454218
+0.0441134
+0.0428771
+0.0417193
+0.0406467
+0.0396572
+0.0387569
+0.0379618
+0.0372786
+0.0367136
+0.0362724
+0.0359594
+0.0357781
+0.0357304
+0.0358077
+0.0360017
+0.036327
+0.0367801
+0.0373563
+0.0380502
+0.0388553
+0.039765
+0.0407722
+0.041771
+0.0425172
+0.0433609
+0.0442969
+0.0453196
+0.0464233
+0.0476022
+0.048845
+0.0481689
+0.0475169
+0.0469582
+0.0464961
+0.0461335
+0.0458585
+0.0456809
+0.0456081
+0.0456404
+0.0457776
+0.0459846
+0.0462683
+0.0466533
+0.047137
+0.047711
+0.04832
+0.0488587
+0.0494088
+0.0500488
+0.0507245
+0.051464
+0.0522848
+0.0531833
+0.0541549
+0.0551958
+0.0563027
+0.0574718
+0.0586994
+0.0599819
+0.0613159
+0.062698
+0.0641249
+0.0655816
+0.0670768
+0.0685626
+0.0700764
+0.071588
+0.0731341
+0.0743622
+0.0745848
+0.0748709
+0.0752197
+0.0756304
+0.0760946
+0.0766138
+0.0782525
+0.0765015
+0.0747737
+0.0730707
+0.0713943
+0.0697464
+0.0681291
+0.0665447
+0.0649954
+0.0634835
+0.0620098
+0.0605795
+0.0591957
+0.0578618
+0.0565813
+0.0553579
+0.0541955
+0.053098
+0.0520696
+0.0511145
+0.0502368
+0.0494407
+0.0487301
+0.0473741
+0.046017
+0.044726
+0.0435072
+0.0423666
+0.0413108
+0.0403376
+0.0394528
+0.038672
+0.0380016
+0.0374475
+0.037015
+0.0367084
+0.0365308
+0.0364841
+0.0365598
+0.0367498
+0.0370685
+0.0375127
+0.0380778
+0.0387588
+0.0395495
+0.0404436
+0.0414343
+0.0425149
+0.0436019
+0.044425
+0.0453391
+0.0463388
+0.0474187
+0.0485734
+0.0489733
+0.0482328
+0.0475817
+0.0470237
+0.0465623
+0.0462002
+0.0459256
+0.0457483
+0.0456756
+0.0457078
+0.0458448
+0.0460516
+0.0463349
+0.0467193
+0.0472023
+0.0477756
+0.0484143
+0.0490639
+0.0496678
+0.0503598
+0.0510586
+0.0517933
+0.052609
+0.0535021
+0.054468
+0.055503
+0.0566038
+0.0577669
+0.0589883
+0.0602647
+0.0615925
+0.0629686
+0.0643899
+0.0658529
+0.0673436
+0.0688702
+0.0704319
+0.0720263
+0.0736514
+0.0745158
+0.0747379
+0.0750234
+0.0753715
+0.0757772
+0.0762357
+0.076754
+0.0790138
+0.07728
+0.07557
+0.0738854
+0.0722279
+0.0705995
+0.0690022
+0.0674382
+0.06591
+0.0644195
+0.0629677
+0.0615597
+0.0601984
+0.0588873
+0.0576295
+0.0564289
+0.055289
+0.0542137
+0.0532069
+0.0522725
+0.0514146
+0.050637
+0.0494418
+0.0480451
+0.0467075
+0.0454361
+0.0442368
+0.0431156
+0.0420778
+0.0411147
+0.040247
+0.0394818
+0.0388254
+0.0382832
+0.0378602
+0.0375604
+0.0373868
+0.0373411
+0.0374155
+0.0376012
+0.0379127
+0.0383471
+0.0389002
+0.039567
+0.0403418
+0.0412187
+0.0421912
+0.0432529
+0.0443974
+0.0455696
+0.0464612
+0.0474372
+0.0484927
+0.0496225
+0.0491339
+0.0483959
+0.047747
+0.047191
+0.0467312
+0.0463704
+0.0460968
+0.0459202
+0.0458478
+0.0458799
+0.0460164
+0.0462223
+0.0465046
+0.0468876
+0.047369
+0.0479402
+0.0485768
+0.0492807
+0.049882
+0.0505711
+0.0513445
+0.0521985
+0.0530218
+0.053908
+0.0548668
+0.0558944
+0.0569877
+0.058143
+0.0593568
+0.0606254
+0.0619455
+0.0633139
+0.0647276
+0.0661835
+0.0676787
+0.0691995
+0.0707539
+0.0723412
+0.0739594
+0.0747333
+0.0749505
+0.0752228
+0.0755578
+0.0759544
+0.0764119
+0.076929
+0.0798279
+0.0781122
+0.0764208
+0.0747554
+0.0731176
+0.0715095
+0.069933
+0.0683903
+0.0668838
+0.0654155
+0.0639863
+0.0626012
+0.0612631
+0.0599752
+0.0587408
+0.0575633
+0.0564463
+0.0553935
+0.0544085
+0.0534952
+0.0526572
+0.0516104
+0.0501808
+0.0488052
+0.047489
+0.0462392
+0.0450613
+0.0439569
+0.0429233
+0.0419787
+0.0411291
+0.0403807
+0.0397391
+0.0392096
+0.0387967
+0.0385041
+0.0383348
+0.0382902
+0.0383658
+0.0385469
+0.0388508
+0.0392748
+0.039815
+0.0404668
+0.0412247
+0.0420832
+0.0430362
+0.0440775
+0.0452011
+0.046401
+0.0476576
+0.0486097
+0.0496402
+0.0502103
+0.0493913
+0.0486571
+0.0480118
+0.0474589
+0.0470017
+0.046643
+0.0463711
+0.0461955
+0.0461235
+0.0461554
+0.0462911
+0.0464958
+0.0467764
+0.0471572
+0.0476359
+0.0482039
+0.0488371
+0.0495591
+0.0501911
+0.050876
+0.0516448
+0.0524939
+0.0534193
+0.0543992
+0.0553495
+0.0563683
+0.0574526
+0.0585987
+0.0598032
+0.0610626
+0.0623734
+0.0637327
+0.0651372
+0.0665842
+0.068071
+0.0695904
+0.0711362
+0.0727152
+0.0743253
+0.0749736
+0.0751821
+0.0754536
+0.0757875
+0.076183
+0.076639
+0.0771546
+0.0806933
+0.0789964
+0.0773244
+0.0756788
+0.0740615
+0.0724743
+0.0709192
+0.0693985
+0.0679144
+0.0664688
+0.0650628
+0.0637011
+0.0623866
+0.0611224
+0.0599116
+0.0587576
+0.0576637
+0.0566335
+0.0556705
+0.0547782
+0.05387
+0.0524104
+0.0510032
+0.0496505
+0.0483573
+0.0471305
+0.0459673
+0.0448731
+0.0438611
+0.0429371
+0.0421069
+0.0413762
+0.0407502
+0.040234
+0.0398317
+0.0395469
+0.039382
+0.0393386
+0.039415
+0.0395913
+0.0398874
+0.0403005
+0.0408271
+0.0414629
+0.042203
+0.043042
+0.0439742
+0.0449938
+0.0460951
+0.0472722
+0.0485198
+0.0498325
+0.0508562
+0.0505572
+0.0497439
+0.049015
+0.0483745
+0.0478258
+0.0473721
+0.0470163
+0.0467465
+0.0465723
+0.0465009
+0.0465325
+0.0466671
+0.0468702
+0.0471486
+0.0475264
+0.0480014
+0.0485652
+0.0491937
+0.0499105
+0.0505932
+0.0512727
+0.0520262
+0.0528516
+0.0537537
+0.0547286
+0.0557726
+0.0568767
+0.0579965
+0.0591322
+0.060326
+0.0615746
+0.0628748
+0.0642234
+0.0656175
+0.0670542
+0.0685307
+0.0700421
+0.0715782
+0.0731477
+0.0747484
+0.075268
+0.0754757
+0.0757462
+0.0760788
+0.0764727
+0.0769271
+0.0774408
+0.0816084
+0.0799309
+0.0782788
+0.0766538
+0.0750574
+0.0734917
+0.0719587
+0.0704604
+0.0689991
+0.0675768
+0.0661943
+0.0648563
+0.0635657
+0.0623254
+0.0611385
+0.0600081
+0.0589374
+0.0579299
+0.0569888
+0.0561174
+0.0547095
+0.0532729
+0.0518891
+0.0505623
+0.0492973
+0.0480933
+0.0469465
+0.0458757
+0.0448863
+0.0439838
+0.0431738
+0.0424614
+0.0418517
+0.0413492
+0.0409579
+0.0406809
+0.0405207
+0.0404785
+0.0405548
+0.040727
+0.0410148
+0.0414166
+0.0419292
+0.0425486
+0.0432701
+0.0440888
+0.0449993
+0.0459962
+0.047074
+0.0482273
+0.0494508
+0.0507395
+0.0518438
+0.0509959
+0.0501897
+0.0494674
+0.0488328
+0.0482893
+0.0478401
+0.0474877
+0.0472206
+0.0470482
+0.0469775
+0.0470088
+0.0471421
+0.0473431
+0.0476187
+0.0479929
+0.0484632
+0.0490217
+0.0496445
+0.0503158
+0.0508943
+0.0515519
+0.0522931
+0.0531144
+0.054012
+0.0549824
+0.0560216
+0.0571209
+0.0582747
+0.0594869
+0.0607539
+0.0620723
+0.0634391
+0.0647846
+0.0661669
+0.0675919
+0.0690569
+0.0705586
+0.0720841
+0.0736428
+0.075233
+0.0756248
+0.0758315
+0.0761007
+0.0764318
+0.0768239
+0.0772665
+0.077759
+0.0825714
+0.080914
+0.0792823
+0.0776783
+0.0761034
+0.0745597
+0.073049
+0.0715736
+0.0701355
+0.0687367
+0.067378
+0.066064
+0.0647975
+0.0635812
+0.0624182
+0.0613114
+0.0602639
+0.0592789
+0.0583595
+0.0570825
+0.055621
+0.0542086
+0.0528492
+0.0515472
+0.0503069
+0.0491279
+0.0480058
+0.0469591
+0.045993
+0.0451127
+0.0443233
+0.0436297
+0.0430366
+0.0425481
+0.0421679
+0.0418989
+0.0417433
+0.0417024
+0.0417765
+0.0419434
+0.042223
+0.0426134
+0.0431118
+0.0437144
+0.044417
+0.0452149
+0.0461032
+0.0470767
+0.0481304
+0.0492589
+0.0504574
+0.051721
+0.0521858
+0.0513696
+0.0506244
+0.0499641
+0.0493842
+0.0488468
+0.0484027
+0.0480545
+0.0477905
+0.0476202
+0.0475504
+0.0475813
+0.047713
+0.0479116
+0.048184
+0.0485538
+0.0490187
+0.049571
+0.0501868
+0.0506827
+0.0512608
+0.0519138
+0.0526499
+0.0534656
+0.0543575
+0.0553218
+0.0563548
+0.0574477
+0.0585951
+0.0598008
+0.0610612
+0.0623732
+0.0637335
+0.065139
+0.066587
+0.0680747
+0.0695996
+0.0711382
+0.0726525
+0.0741992
+0.0757778
+0.0760238
+0.0762291
+0.0764848
+0.0768015
+0.0771729
+0.0776042
+0.0780945
+0.0835808
+0.0819438
+0.0803331
+0.0787504
+0.0771974
+0.075676
+0.0741881
+0.0727357
+0.0713211
+0.069946
+0.0686113
+0.0673214
+0.066079
+0.0648867
+0.0637475
+0.0626641
+0.0616397
+0.060677
+0.0595222
+0.0580394
+0.0566026
+0.0552153
+0.0538814
+0.0526049
+0.0513901
+0.0502367
+0.0491399
+0.048118
+0.0471756
+0.0463178
+0.0455493
+0.0448746
+0.0442982
+0.0438237
+0.0434547
+0.0431937
+0.0430428
+0.0430032
+0.043075
+0.0432367
+0.043508
+0.043887
+0.0443711
+0.0449568
+0.0456402
+0.0464171
+0.0472828
+0.0482326
+0.0492615
+0.0503647
+0.0515375
+0.0527752
+0.0526169
+0.0518075
+0.0510687
+0.0504143
+0.0498384
+0.0493436
+0.048942
+0.0486358
+0.0484269
+0.048285
+0.048216
+0.0482466
+0.0483764
+0.0485724
+0.048841
+0.0492059
+0.0496648
+0.0502099
+0.0506349
+0.0511265
+0.0517063
+0.0523649
+0.0530947
+0.0539038
+0.0547885
+0.0557453
+0.0567706
+0.0578557
+0.0589951
+0.0601928
+0.0614452
+0.0627491
+0.0641015
+0.0654991
+0.0669393
+0.0684193
+0.0699367
+0.0714886
+0.0730705
+0.0746832
+0.076274
+0.0764162
+0.0766208
+0.0768872
+0.0772036
+0.0775729
+0.0780019
+0.0784898
+0.0846349
+0.0830186
+0.0814292
+0.0798682
+0.0783374
+0.0768386
+0.0753736
+0.0739446
+0.0725535
+0.0712022
+0.0698915
+0.0686257
+0.0674073
+0.0662389
+0.0651234
+0.0640633
+0.0630615
+0.0620208
+0.0605199
+0.0590621
+0.0576508
+0.0562893
+0.0549815
+0.0537312
+0.0525424
+0.0514151
+0.0503439
+0.0493469
+0.0484285
+0.0475932
+0.0468457
+0.0461899
+0.0456301
+0.0451697
+0.0448117
+0.0445587
+0.0444124
+0.044374
+0.0444436
+0.0446002
+0.0448632
+0.0452308
+0.0457007
+0.0462696
+0.0469339
+0.0476897
+0.0485327
+0.0494585
+0.0504624
+0.0515399
+0.0526866
+0.0538979
+0.0531349
+0.0523336
+0.0516022
+0.0509457
+0.0503666
+0.049877
+0.0494797
+0.0491769
+0.0489703
+0.0488592
+0.0488291
+0.0488972
+0.0490632
+0.0493006
+0.049584
+0.0499456
+0.0503978
+0.0507764
+0.051173
+0.0516595
+0.0522334
+0.0528919
+0.0536254
+0.0544266
+0.055303
+0.0562511
+0.0572673
+0.0583431
+0.0594732
+0.0606614
+0.0619044
+0.0631988
+0.0645417
+0.0659301
+0.067361
+0.068832
+0.0703404
+0.0718836
+0.0734571
+0.0750614
+0.0766948
+0.076869
+0.0770724
+0.0773373
+0.0776632
+0.078027
+0.0784487
+0.0789289
+0.085732
+0.0841368
+0.0825689
+0.0810299
+0.0795214
+0.0780454
+0.0766035
+0.0751978
+0.0738303
+0.0725029
+0.0712161
+0.0699742
+0.0687797
+0.0676351
+0.0665429
+0.0655058
+0.0645265
+0.063055
+0.0615793
+0.0601473
+0.058762
+0.0574269
+0.0561456
+0.0549217
+0.0537593
+0.0526582
+0.0516129
+0.0506408
+0.0497463
+0.0489336
+0.0482067
+0.0475698
+0.0470264
+0.0465798
+0.0462327
+0.0459875
+0.0458458
+0.0458086
+0.045876
+0.0460275
+0.0462824
+0.0466389
+0.0470947
+0.0476469
+0.0482924
+0.0490272
+0.0498476
+0.0507494
+0.0517283
+0.05278
+0.0539002
+0.0544532
+0.0536156
+0.0528463
+0.0521578
+0.0515532
+0.0509835
+0.0504999
+0.0501076
+0.0498085
+0.0496046
+0.0494949
+0.0494652
+0.0495324
+0.0496963
+0.0499121
+0.0501921
+0.0505655
+0.0510303
+0.0514065
+0.0517982
+0.0522789
+0.052846
+0.053497
+0.0542287
+0.0550317
+0.0558986
+0.0568368
+0.0578427
+0.058908
+0.0600275
+0.0612049
+0.0624371
+0.0637207
+0.0650528
+0.0664305
+0.0678509
+0.0693115
+0.0708097
+0.0723429
+0.0739065
+0.0755014
+0.0771154
+0.0773813
+0.0775833
+0.0778465
+0.0781495
+0.0785094
+0.0789152
+0.0793576
+0.0868705
+0.0852966
+0.0837504
+0.0822335
+0.0807476
+0.0792943
+0.0778755
+0.0764932
+0.0751494
+0.0738456
+0.0725826
+0.0713645
+0.0701937
+0.0690725
+0.0680034
+0.0669889
+0.0656385
+0.0641474
+0.0626975
+0.0612915
+0.0599327
+0.0586243
+0.0573697
+0.0561725
+0.0550366
+0.0539616
+0.0529421
+0.0519949
+0.051124
+0.0503336
+0.0496273
+0.0490088
+0.0484815
+0.0480484
+0.047712
+0.0474745
+0.0473373
+0.0473012
+0.0473663
+0.0475131
+0.04776
+0.0481055
+0.0485476
+0.0490835
+0.0497102
+0.0504245
+0.0512225
+0.0521005
+0.0530544
+0.0540803
+0.0551742
+0.0549177
+0.054095
+0.0533332
+0.0526511
+0.0520522
+0.0515396
+0.0511158
+0.0507831
+0.0505274
+0.0503263
+0.0502124
+0.0501831
+0.0502494
+0.0504018
+0.0506111
+0.0508872
+0.0512556
+0.0517142
+0.0521146
+0.0525074
+0.0529817
+0.0535414
+0.054184
+0.0549065
+0.0557059
+0.056569
+0.0574962
+0.0584908
+0.0595482
+0.0606559
+0.0618213
+0.0630414
+0.064313
+0.0656331
+0.0669988
+0.0684075
+0.0698564
+0.0713432
+0.072829
+0.0738941
+0.0750081
+0.0761689
+0.0773742
+0.0780958
+0.078298
+0.0785608
+0.0788835
+0.0792655
+0.0797059
+0.0880488
+0.0864963
+0.0849719
+0.0834773
+0.0820139
+0.0805834
+0.0791878
+0.0778288
+0.0765084
+0.0752282
+0.0739888
+0.0727942
+0.0716468
+0.0705487
+0.0695023
+0.0682648
+0.0667605
+0.0652951
+0.0638712
+0.0624917
+0.0611595
+0.0598779
+0.0586501
+0.0574796
+0.05637
+0.0553212
+0.0543271
+0.0534045
+0.052557
+0.0517884
+0.0511022
+0.0505018
+0.0499903
+0.0495704
+0.0492444
+0.0490143
+0.0488814
+0.0488464
+0.0489093
+0.0490515
+0.0492907
+0.0496256
+0.0500542
+0.0505741
+0.0511827
+0.0518766
+0.0526526
+0.0535071
+0.0544364
+0.0554368
+0.0563524
+0.0554614
+0.0546417
+0.0538936
+0.0532186
+0.0526262
+0.0521193
+0.0517002
+0.0513713
+0.0511334
+0.0509714
+0.050903
+0.0509289
+0.0510379
+0.0511879
+0.0513941
+0.051666
+0.0520288
+0.0524807
+0.0528863
+0.0532973
+0.0537646
+0.0543163
+0.0549498
+0.0556624
+0.0564511
+0.057303
+0.0582185
+0.059201
+0.0602471
+0.0613536
+0.0625085
+0.0637154
+0.0649738
+0.0662808
+0.0676334
+0.0689733
+0.0698914
+0.0708653
+0.0718928
+0.0729716
+0.0740995
+0.0752742
+0.0764937
+0.0777557
+0.0787121
+0.0789735
+0.0792945
+0.0796746
+0.0801127
+0.0892653
+0.0877343
+0.0862319
+0.0847594
+0.0833185
+0.0819109
+0.0805382
+0.0792024
+0.0779053
+0.0766484
+0.0754324
+0.074261
+0.0731366
+0.0720612
+0.0709292
+0.0694135
+0.0679347
+0.0664951
+0.0650975
+0.0637445
+0.0624391
+0.0611843
+0.0599832
+0.0588393
+0.0577558
+0.0567327
+0.0557638
+0.0548654
+0.0540408
+0.0532936
+0.0526271
+0.0520443
+0.051548
+0.0511409
+0.050825
+0.0506021
+0.0504734
+0.0504395
+0.0505002
+0.0506379
+0.0508697
+0.0511943
+0.0516098
+0.0521143
+0.052705
+0.0533792
+0.0541336
+0.0549651
+0.0558702
+0.0568453
+0.0569636
+0.0560803
+0.0552698
+0.0545304
+0.0538634
+0.0532782
+0.0527774
+0.0523637
+0.0520389
+0.0518041
+0.0516442
+0.0515767
+0.0516022
+0.0517206
+0.0519312
+0.0522329
+0.0525246
+0.0528816
+0.0533262
+0.0537363
+0.054162
+0.0546242
+0.0551673
+0.0557912
+0.0564931
+0.0572704
+0.0581103
+0.0590133
+0.0599827
+0.0610155
+0.0621083
+0.0632582
+0.0644569
+0.0656071
+0.0663665
+0.0671819
+0.0680546
+0.0689849
+0.0699714
+0.0710119
+0.0721038
+0.0732451
+0.0744333
+0.0756663
+0.076942
+0.0782582
+0.0794444
+0.0797636
+0.0801414
+0.080577
+0.0905184
+0.0890091
+0.0875285
+0.0860782
+0.0846598
+0.0832748
+0.081925
+0.0806122
+0.0793381
+0.0781043
+0.0769113
+0.0757628
+0.074661
+0.0736079
+0.072102
+0.0706115
+0.0691583
+0.0677448
+0.0663734
+0.065047
+0.0637683
+0.0625401
+0.0613656
+0.0602479
+0.0591902
+0.0581925
+0.0572484
+0.0563736
+0.0555714
+0.0548451
+0.0541976
+0.0536318
+0.0531504
+0.0527557
+0.0524495
+0.0522335
+0.0521088
+0.052076
+0.0521347
+0.0522681
+0.0524927
+0.0528072
+0.0532102
+0.0536996
+0.0542731
+0.054928
+0.0556615
+0.0564705
+0.0573518
+0.0583022
+0.0576498
+0.0567771
+0.0559767
+0.0552467
+0.0545885
+0.0540111
+0.0535173
+0.0531093
+0.0527891
+0.0525576
+0.0524
+0.0523335
+0.0523587
+0.0524753
+0.0526829
+0.0529803
+0.0533661
+0.0538101
+0.0542471
+0.0546609
+0.0550859
+0.0555547
+0.056091
+0.0567047
+0.0573955
+0.0581607
+0.0589879
+0.0598777
+0.0608334
+0.0618519
+0.0628008
+0.0633695
+0.0640082
+0.0647074
+0.0654703
+0.0662969
+0.0671848
+0.0681316
+0.0691346
+0.0701882
+0.0712928
+0.0724469
+0.073648
+0.0748939
+0.0761825
+0.0775116
+0.0788791
+0.0802287
+0.0805928
+0.0810145
+0.0918068
+0.0903189
+0.0888602
+0.087432
+0.0860359
+0.0846734
+0.0833463
+0.0820562
+0.0808049
+0.0795938
+0.0784235
+0.0772975
+0.0762178
+0.074821
+0.0733203
+0.0718551
+0.0704275
+0.06904
+0.0676949
+0.0663949
+0.0651426
+0.0639409
+0.0627926
+0.0617007
+0.0606684
+0.0596965
+0.0587765
+0.0579248
+0.0571445
+0.0564384
+0.0558094
+0.0552602
+0.0547931
+0.0544103
+0.0541135
+0.0539042
+0.0537834
+0.0537516
+0.0538006
+0.0539299
+0.0541476
+0.0544526
+0.0548435
+0.0553184
+0.0558753
+0.0565116
+0.0572248
+0.058012
+0.0588703
+0.0593395
+0.05841
+0.0575489
+0.0567594
+0.0560396
+0.0553908
+0.0548219
+0.0543354
+0.0539336
+0.0536183
+0.0533904
+0.0532353
+0.0531699
+0.0531946
+0.0533094
+0.0535138
+0.0538066
+0.0541865
+0.054648
+0.0551794
+0.0556565
+0.05608
+0.0565407
+0.0570817
+0.057687
+0.0583662
+0.0591188
+0.0599328
+0.0606573
+0.0610104
+0.0614396
+0.0619434
+0.0625191
+0.0631567
+0.0638631
+0.064636
+0.0654732
+0.0663721
+0.0673303
+0.0683453
+0.0694147
+0.0705359
+0.0717061
+0.0729197
+0.0741779
+0.0754787
+0.07682
+0.0781996
+0.0796131
+0.0810239
+0.0814434
+0.0931289
+0.0916625
+0.0902255
+0.0888192
+0.0874453
+0.0861051
+0.0848004
+0.0835327
+0.0823039
+0.0811152
+0.0799671
+0.0788632
+0.0775674
+0.0760578
+0.074582
+0.0731421
+0.0717402
+0.0703785
+0.0690595
+0.0677857
+0.0665595
+0.0653839
+0.0642614
+0.0631949
+0.0621873
+0.0612308
+0.0603342
+0.0595048
+0.0587455
+0.0580589
+0.0574477
+0.0569143
+0.0564609
+0.0560895
+0.0558017
+0.0555988
+0.0554816
+0.0554509
+0.0554978
+0.0556231
+0.0558342
+0.05613
+0.0565093
+0.0569704
+0.0575113
+0.0581297
+0.0588233
+0.0595894
+0.0604252
+0.0601583
+0.0592416
+0.0583928
+0.0576148
+0.0569058
+0.056267
+0.055707
+0.0552283
+0.0548331
+0.054523
+0.0542989
+0.0541464
+0.0540821
+0.0541064
+0.0542193
+0.0544202
+0.0547082
+0.0550819
+0.0555359
+0.056059
+0.0566619
+0.0571409
+0.0575931
+0.0581239
+0.0585264
+0.0590075
+0.0593635
+0.0595633
+0.0598426
+0.0602005
+0.0606355
+0.0611458
+0.0617227
+0.0623684
+0.0630836
+0.063866
+0.0647131
+0.0656224
+0.0665915
+0.0676176
+0.0686982
+0.069828
+0.0710058
+0.0722309
+0.0735009
+0.0748135
+0.0761664
+0.0775577
+0.0789852
+0.0804471
+0.0819286
+0.0944832
+0.0930382
+0.0916227
+0.0902383
+0.0888863
+0.0875682
+0.0862856
+0.0850401
+0.0838333
+0.0826666
+0.0815404
+0.0803394
+0.078822
+0.077337
+0.0758861
+0.0744713
+0.0730949
+0.071759
+0.0704658
+0.0692178
+0.0680175
+0.0668675
+0.0657703
+0.0647287
+0.0637404
+0.0628033
+0.0619295
+0.0611218
+0.0603828
+0.059715
+0.0591209
+0.0586028
+0.0581626
+0.0578021
+0.0575228
+0.057326
+0.0572124
+0.0571826
+0.0572285
+0.05735
+0.0575548
+0.0578418
+0.05821
+0.0586577
+0.0591831
+0.0597843
+0.0604589
+0.0612045
+0.0620121
+0.0610446
+0.0601415
+0.0593056
+0.0585396
+0.0578359
+0.0572074
+0.0566567
+0.0561861
+0.0557977
+0.055493
+0.0552735
+0.0551296
+0.0550663
+0.0550902
+0.0552011
+0.0553985
+0.0556814
+0.0560486
+0.0564945
+0.0565604
+0.056636
+0.056796
+0.0570398
+0.0573663
+0.057774
+0.0582613
+0.058606
+0.0588084
+0.0590914
+0.0594538
+0.0598941
+0.0604108
+0.0609946
+0.061648
+0.0623714
+0.0631626
+0.064019
+0.0649381
+0.0659171
+0.0669522
+0.0680388
+0.0691778
+0.0703665
+0.0716025
+0.0728834
+0.0742069
+0.0755708
+0.0769728
+0.0784109
+0.0798833
+0.081388
+0.0958685
+0.0944447
+0.0930506
+0.0916877
+0.0903574
+0.0890611
+0.0878003
+0.0865766
+0.0853916
+0.0842465
+0.0831345
+0.0816103
+0.080117
+0.0786563
+0.0772302
+0.0758406
+0.0744894
+0.073179
+0.0719113
+0.0706889
+0.069514
+0.0683891
+0.0673168
+0.0662995
+0.065326
+0.064412
+0.0635603
+0.0627735
+0.0620542
+0.0614046
+0.0608271
+0.0603236
+0.059896
+0.059546
+0.059275
+0.059084
+0.0589738
+0.0589449
+0.0589897
+0.0591077
+0.0593064
+0.059585
+0.0599424
+0.0603773
+0.0608879
+0.0614724
+0.0621287
+0.0628545
+0.0629486
+0.0619958
+0.0611067
+0.0602842
+0.0595227
+0.0588308
+0.0582131
+0.057672
+0.0572097
+0.0568283
+0.0565291
+0.0563137
+0.0561809
+0.0561189
+0.0561424
+0.0562512
+0.0563748
+0.0561261
+0.0559621
+0.0558768
+0.0558675
+0.055944
+0.056106
+0.0563528
+0.0566832
+0.0570959
+0.0575889
+0.0579216
+0.0581264
+0.0584127
+0.0587792
+0.0592246
+0.0597471
+0.0603373
+0.0609977
+0.0617288
+0.0625281
+0.0633931
+0.0643211
+0.0653049
+0.0663462
+0.0674425
+0.0685914
+0.0697901
+0.0710361
+0.0723271
+0.0736606
+0.0750343
+0.0764462
+0.0778941
+0.079376
+0.0808902
+0.0972834
+0.0958806
+0.0945077
+0.0931662
+0.0918573
+0.0905824
+0.0893431
+0.0881408
+0.0869771
+0.0858531
+0.0844201
+0.0829195
+0.0814502
+0.0800139
+0.0786124
+0.0772477
+0.0759216
+0.0746363
+0.0733938
+0.0721965
+0.0710465
+0.0699463
+0.0688982
+0.0678964
+0.0669458
+0.0660541
+0.0652239
+0.0644575
+0.0637571
+0.0631251
+0.0625634
+0.062074
+0.0616585
+0.0613186
+0.0610554
+0.06087
+0.0607631
+0.060735
+0.060779
+0.0608934
+0.0610863
+0.0613569
+0.061704
+0.0621266
+0.0626229
+0.0631914
+0.06383
+0.0645366
+0.0639465
+0.0630088
+0.0621342
+0.0613199
+0.0605692
+0.0598893
+0.0592826
+0.0587514
+0.0582977
+0.0579234
+0.05763
+0.0574187
+0.0572904
+0.0570206
+0.0565205
+0.0561016
+0.0557657
+0.0555143
+0.0553485
+0.0552623
+0.0552528
+0.0553302
+0.055494
+0.0557435
+0.0560775
+0.0564946
+0.0569928
+0.0573128
+0.0575197
+0.057809
+0.0581794
+0.0586293
+0.059157
+0.0597531
+0.0604199
+0.0611579
+0.0619646
+0.0628343
+0.0637655
+0.0647574
+0.0658074
+0.0669126
+0.0680704
+0.0692781
+0.0705332
+0.0718332
+0.0731756
+0.0745583
+0.0759791
+0.0774357
+0.0789262
+0.0804481
+0.0987239
+0.0973419
+0.0959899
+0.0946693
+0.0933815
+0.0921277
+0.0909095
+0.0897282
+0.0885853
+0.0872494
+0.0857424
+0.0842654
+0.08282
+0.0814078
+0.0800308
+0.0786906
+0.0773892
+0.0761287
+0.074911
+0.0737383
+0.0726128
+0.0715367
+0.0705092
+0.0695253
+0.0685972
+0.0677273
+0.0669179
+0.066171
+0.065489
+0.0648739
+0.0643274
+0.0638515
+0.0634478
+0.0631175
+0.0628618
+0.0626818
+0.0625779
+0.0625507
+0.0625937
+0.0627049
+0.0628922
+0.063155
+0.0634924
+0.0639031
+0.0643857
+0.0649387
+0.0655603
+0.0659851
+0.065003
+0.0640807
+0.0632178
+0.0624131
+0.0616757
+0.0610082
+0.0604127
+0.0598916
+0.0594466
+0.0590795
+0.0584855
+0.0577493
+0.0570878
+0.0565035
+0.0559988
+0.055576
+0.0552369
+0.054983
+0.0548156
+0.0547285
+0.054719
+0.0547971
+0.0549625
+0.0552144
+0.0555516
+0.0559726
+0.0564755
+0.0567821
+0.0569909
+0.0572829
+0.0576566
+0.0581106
+0.058643
+0.0592442
+0.0599139
+0.0606528
+0.061461
+0.0623357
+0.0632742
+0.0642738
+0.0653315
+0.0664446
+0.0676104
+0.0688262
+0.0700894
+0.0713974
+0.072748
+0.0741386
+0.0755672
+0.0770316
+0.0785299
+0.0800592
+0.10019
+0.0988284
+0.097497
+0.0961972
+0.09493
+0.093697
+0.0924994
+0.0913387
+0.0900965
+0.0885837
+0.0870997
+0.0856461
+0.0842244
+0.0828362
+0.0814833
+0.0801674
+0.0788904
+0.0776543
+0.0764609
+0.0753123
+0.0742107
+0.073158
+0.0721456
+0.0711843
+0.0702782
+0.0694293
+0.0686399
+0.067912
+0.0672477
+0.0666488
+0.066117
+0.0656541
+0.0652615
+0.0649404
+0.064692
+0.064517
+0.0644161
+0.0643896
+0.0644318
+0.0645398
+0.0647219
+0.0649773
+0.0653052
+0.0657046
+0.0661741
+0.0667123
+0.0673175
+0.067081
+0.0661151
+0.0652077
+0.0643534
+0.063563
+0.0628392
+0.0621841
+0.0616
+0.0607103
+0.059761
+0.058878
+0.0580642
+0.0573226
+0.056656
+0.0560672
+0.0555586
+0.0551324
+0.0547906
+0.0545346
+0.0543659
+0.0542781
+0.0542685
+0.0543472
+0.054514
+0.0547679
+0.0551079
+0.0555322
+0.056039
+0.0563315
+0.0565421
+0.0568363
+0.057213
+0.0576705
+0.0582019
+0.0587993
+0.0594715
+0.0602158
+0.0610298
+0.0619106
+0.0628555
+0.0638616
+0.064926
+0.0660459
+0.0672186
+0.0684414
+0.0697116
+0.0710266
+0.072384
+0.0737816
+0.075217
+0.0766881
+0.0781929
+0.0797287
+0.101682
+0.100341
+0.0990297
+0.0977502
+0.0965035
+0.0952908
+0.0941135
+0.0929596
+0.0914417
+0.0899515
+0.0884905
+0.0870601
+0.0856619
+0.0842974
+0.0829683
+0.0816763
+0.0804233
+0.079211
+0.0780415
+0.0769165
+0.0758382
+0.0748025
+0.0738108
+0.0728714
+0.0719865
+0.0711581
+0.0703881
+0.0696784
+0.0690311
+0.0684478
+0.0679301
+0.0674796
+0.0670977
+0.0667854
+0.0665439
+0.0663738
+0.0662758
+0.06625
+0.0662914
+0.0663964
+0.0665733
+0.0668216
+0.0671406
+0.0675291
+0.067986
+0.06851
+0.0690994
+0.0682296
+0.0672803
+0.0663816
+0.0655425
+0.0646171
+0.0635913
+0.0624701
+0.0614019
+0.0603841
+0.0594296
+0.0585415
+0.057723
+0.0569769
+0.0563063
+0.0557138
+0.0552019
+0.054773
+0.0544288
+0.0541712
+0.0540013
+0.0539129
+0.0539032
+0.0539825
+0.0541504
+0.0544061
+0.0547482
+0.0551753
+0.0556854
+0.0559492
+0.0561612
+0.0564574
+0.0568366
+0.0572971
+0.0578295
+0.0584307
+0.059107
+0.0598559
+0.0606747
+0.0615606
+0.0625108
+0.0635223
+0.0645923
+0.0657179
+0.0668964
+0.0681249
+0.0694009
+0.0707217
+0.0720849
+0.0734881
+0.0749291
+0.0764058
+0.077916
+0.0794572
+0.103199
+0.101878
+0.100587
+0.0993273
+0.0981006
+0.0969079
+0.0957502
+0.0943148
+0.0928191
+0.0913514
+0.0899132
+0.0885058
+0.0871307
+0.0857896
+0.084484
+0.0832155
+0.081986
+0.0807972
+0.0796509
+0.078549
+0.0774921
+0.0764726
+0.0755028
+0.0745847
+0.0737204
+0.0729116
+0.0721604
+0.0714683
+0.0708373
+0.070269
+0.0697649
+0.0693263
+0.0689546
+0.0686508
+0.0684158
+0.0682504
+0.0681551
+0.06813
+0.0681706
+0.0682727
+0.0684448
+0.0686864
+0.0689967
+0.0693748
+0.0698196
+0.0703299
+0.0697141
+0.0685443
+0.0674254
+0.06636
+0.0653507
+0.0644002
+0.0633557
+0.0622303
+0.0611579
+0.0601359
+0.0591774
+0.0582855
+0.0574633
+0.0567139
+0.0560401
+0.0554447
+0.0549304
+0.0544993
+0.0541534
+0.0538944
+0.0537236
+0.0536348
+0.0536251
+0.0537048
+0.0538735
+0.0541305
+0.0544744
+0.0549036
+0.0554162
+0.055648
+0.0558611
+0.0561589
+0.0565401
+0.057003
+0.057538
+0.0581423
+0.0588219
+0.0595744
+0.060397
+0.0612869
+0.0622413
+0.0632571
+0.0643315
+0.0654617
+0.0666446
+0.0678777
+0.0691582
+0.0704836
+0.0718513
+0.073259
+0.0747044
+0.0761854
+0.0777
+0.0792453
+0.10474
+0.103438
+0.102167
+0.100927
+0.0997203
+0.0985472
+0.0972018
+0.095701
+0.0942273
+0.0927819
+0.0913661
+0.0899815
+0.0886293
+0.0873112
+0.0860287
+0.0847834
+0.083577
+0.0824111
+0.0812876
+0.0802082
+0.0791661
+0.0781683
+0.0772198
+0.0763225
+0.075478
+0.0746883
+0.0739551
+0.07328
+0.0726647
+0.0721108
+0.0716196
+0.0711925
+0.0708306
+0.0705349
+0.0703062
+0.0701452
+0.0700525
+0.0700281
+0.070068
+0.0701673
+0.0703347
+0.0705698
+0.0708719
+0.0712401
+0.0716733
+0.0708023
+0.069582
+0.06841
+0.0672889
+0.0662213
+0.0652098
+0.0642572
+0.0631952
+0.0620669
+0.0609916
+0.0599668
+0.0590055
+0.058111
+0.0572863
+0.0565345
+0.0558586
+0.0552613
+0.0547452
+0.0543126
+0.0539655
+0.0537057
+0.0535343
+0.0534359
+0.0534262
+0.0535062
+0.0536756
+0.0539335
+0.0542786
+0.0547094
+0.0552238
+0.0554317
+0.0556457
+0.0559446
+0.0563273
+0.0567919
+0.0573289
+0.0579353
+0.0586174
+0.0593724
+0.0601978
+0.0610906
+0.062048
+0.063067
+0.0641446
+0.0652779
+0.0664642
+0.0677005
+0.0689844
+0.070313
+0.071684
+0.0730949
+0.0745435
+0.0760276
+0.0775452
+0.0790936
+0.106304
+0.105021
+0.103769
+0.102549
+0.101361
+0.100101
+0.0985961
+0.0971169
+0.0956649
+0.0942416
+0.0928481
+0.0914859
+0.0901563
+0.0888608
+0.087601
+0.0863784
+0.0851945
+0.0840511
+0.0829498
+0.0818882
+0.0808647
+0.0798882
+0.0789604
+0.078083
+0.0772578
+0.0764864
+0.0757706
+0.0751119
+0.0745117
+0.0739716
+0.0734929
+0.0730767
+0.0727242
+0.0724362
+0.0722136
+0.0720569
+0.0719665
+0.0719428
+0.071982
+0.0720787
+0.0722417
+0.0724706
+0.0727647
+0.0731234
+0.0719932
+0.0707271
+0.069507
+0.0683354
+0.0672136
+0.0661445
+0.0651316
+0.0641776
+0.0631104
+0.0619771
+0.0608901
+0.0598635
+0.0589006
+0.0580044
+0.0571782
+0.0564249
+0.0557477
+0.0551492
+0.054632
+0.0541985
+0.0538507
+0.0535903
+0.0534179
+0.0533182
+0.0533084
+0.0533886
+0.0535584
+0.0538168
+0.0541627
+0.0545944
+0.0551099
+0.0553015
+0.0555159
+0.0558156
+0.0561991
+0.0566647
+0.057203
+0.0578107
+0.0584942
+0.0592509
+0.0600779
+0.0609725
+0.0619317
+0.0629525
+0.064032
+0.0651673
+0.0663556
+0.0675939
+0.0688797
+0.0702104
+0.0715833
+0.0729962
+0.0744467
+0.0759327
+0.0774522
+0.0790024
+0.107889
+0.106626
+0.105393
+0.104192
+0.103013
+0.101503
+0.100019
+0.0985611
+0.0971307
+0.0957292
+0.0943577
+0.0930176
+0.0917102
+0.090437
+0.0891994
+0.087999
+0.0868373
+0.0857158
+0.0846361
+0.083589
+0.0825865
+0.0816306
+0.0807228
+0.0798648
+0.0790582
+0.0783046
+0.0776055
+0.0769625
+0.0763769
+0.0758501
+0.0753833
+0.0749776
+0.074634
+0.0743534
+0.0741366
+0.0739839
+0.073896
+0.0738729
+0.0739113
+0.0740055
+0.0741643
+0.0743873
+0.0746464
+0.0732953
+0.0719854
+0.0707192
+0.069499
+0.0683272
+0.0672053
+0.0661361
+0.0651231
+0.0641689
+0.063098
+0.0619532
+0.0608657
+0.0598387
+0.0588754
+0.0579788
+0.0571522
+0.0563986
+0.0557211
+0.0551223
+0.0546048
+0.0541711
+0.0538232
+0.0535626
+0.0533901
+0.0532904
+0.0532806
+0.0533608
+0.0535307
+0.0537893
+0.0541353
+0.0545672
+0.0550829
+0.0552578
+0.0554724
+0.0557723
+0.0561561
+0.0566222
+0.0571608
+0.057769
+0.0584529
+0.0592101
+0.0600377
+0.0609329
+0.0618927
+0.0629142
+0.0639943
+0.0651303
+0.0663192
+0.0675582
+0.0688447
+0.070176
+0.0715496
+0.0729631
+0.0744143
+0.0759009
+0.077421
+0.0789718
+0.109495
+0.108251
+0.107037
+0.105854
+0.104421
+0.102932
+0.101469
+0.100032
+0.0986234
+0.0972434
+0.0958935
+0.0945752
+0.0932896
+0.0920383
+0.0908225
+0.0896438
+0.0885037
+0.0874036
+0.0863384
+0.085312
+0.0843301
+0.0833941
+0.0825058
+0.0816665
+0.0808779
+0.0801414
+0.0794585
+0.0788305
+0.0782589
+0.0777449
+0.0772895
+0.0768939
+0.0765589
+0.0762854
+0.076074
+0.0759253
+0.0758396
+0.0758171
+0.0758549
+0.0759466
+0.0761014
+0.0760925
+0.0747032
+0.0733531
+0.0720443
+0.0707792
+0.06956
+0.0683893
+0.0672684
+0.0662002
+0.0651882
+0.064235
+0.0631505
+0.0620066
+0.0609201
+0.0598941
+0.0589316
+0.058036
+0.0572102
+0.0564574
+0.0557805
+0.0551824
+0.0546655
+0.0542323
+0.0538847
+0.0536245
+0.0534522
+0.0533526
+0.0533428
+0.0534229
+0.0535926
+0.0538509
+0.0541965
+0.054628
+0.0551431
+0.055301
+0.0555154
+0.0558151
+0.0561986
+0.0566643
+0.0572025
+0.0578102
+0.0584938
+0.0592504
+0.0600775
+0.0609721
+0.0619312
+0.0629521
+0.0640316
+0.0651669
+0.0663552
+0.0675936
+0.0688794
+0.07021
+0.0715829
+0.0729958
+0.0744463
+0.0759324
+0.0774519
+0.0790021
+0.111122
+0.109896
+0.1087
+0.107349
+0.105856
+0.104388
+0.102945
+0.10153
+0.100142
+0.0987829
+0.0974544
+0.0961575
+0.0948934
+0.0936634
+0.0924691
+0.0913116
+0.0901926
+0.0891108
+0.0880622
+0.0870562
+0.0860941
+0.0851775
+0.0843079
+0.0834868
+0.0827155
+0.0819955
+0.0813282
+0.0807148
+0.0801567
+0.0796548
+0.0792105
+0.0788245
+0.0784977
+0.078231
+0.0780249
+0.0778799
+0.0777964
+0.0777744
+0.0778116
+0.077901
+0.0776353
+0.0762112
+0.0748241
+0.0734763
+0.0721697
+0.0709068
+0.0696898
+0.0685213
+0.0674026
+0.0663366
+0.0653267
+0.0643756
+0.0632788
+0.0621374
+0.0610532
+0.0600294
+0.0590692
+0.0581756
+0.0573519
+0.0566009
+0.0559258
+0.0553292
+0.0548138
+0.0543817
+0.0540351
+0.0537756
+0.0536038
+0.0535044
+0.0534947
+0.0535746
+0.0537438
+0.0540013
+0.0543461
+0.0547763
+0.0552901
+0.0554198
+0.0556338
+0.0559328
+0.0563155
+0.0567802
+0.057325
+0.0579344
+0.0586165
+0.0593716
+0.060197
+0.0610898
+0.0620472
+0.0630661
+0.0641437
+0.0652771
+0.0664634
+0.0676998
+0.0689836
+0.0703123
+0.0716832
+0.0730942
+0.0745428
+0.0760269
+0.0775446
+0.079093
+0.112767
+0.111559
+0.110287
+0.10879
+0.107317
+0.105869
+0.104447
+0.103052
+0.101685
+0.100347
+0.0990392
+0.0977632
+0.0965201
+0.0953112
+0.0941378
+0.0930011
+0.0919026
+0.0908348
+0.0898063
+0.08882
+0.0878773
+0.0869795
+0.0861281
+0.0853245
+0.08457
+0.0838659
+0.0832136
+0.0826142
+0.082069
+0.0815789
+0.0811451
+0.0807683
+0.0804495
+0.0801893
+0.0799882
+0.0798468
+0.0797653
+0.0797439
+0.0797804
+0.0792692
+0.0778133
+0.0763926
+0.0750089
+0.0736644
+0.0723612
+0.0711017
+0.0698882
+0.068723
+0.0676077
+0.0665449
+0.0655382
+0.0645902
+0.0634826
+0.0623448
+0.0612644
+0.0602442
+0.0592874
+0.0583972
+0.0575766
+0.0568286
+0.0561562
+0.0555621
+0.0550488
+0.0546187
+0.0542736
+0.0540152
+0.0538442
+0.0537452
+0.0537355
+0.0538151
+0.0539835
+0.0542399
+0.0545832
+0.0550115
+0.0554915
+0.0556189
+0.0558322
+0.0561301
+0.0565115
+0.0569746
+0.0575175
+0.0581315
+0.0588113
+0.0595639
+0.0603867
+0.0612767
+0.0622312
+0.0632472
+0.0643218
+0.0654521
+0.0666353
+0.0678685
+0.0691492
+0.0704747
+0.0718426
+0.0732505
+0.0746961
+0.0761772
+0.0776919
+0.0792383
+0.114431
+0.113233
+0.111732
+0.110255
+0.108802
+0.107374
+0.105972
+0.104598
+0.103251
+0.101934
+0.100647
+0.0993913
+0.0981689
+0.0969805
+0.0958275
+0.0947111
+0.0936277
+0.0925785
+0.0915697
+0.0906026
+0.0896786
+0.088799
+0.0879652
+0.0871785
+0.0864402
+0.0857515
+0.0851136
+0.0845277
+0.0839949
+0.0835161
+0.0830924
+0.0827245
+0.0824133
+0.0821593
+0.081963
+0.081825
+0.0817455
+0.0817246
+0.0809887
+0.079504
+0.0780525
+0.0766362
+0.075257
+0.073917
+0.0726184
+0.0713634
+0.0701543
+0.0689937
+0.0678828
+0.0668245
+0.065822
+0.0648781
+0.063761
+0.0626283
+0.0615528
+0.0605375
+0.0595854
+0.0586997
+0.0578834
+0.0571395
+0.0564708
+0.05588
+0.0553697
+0.054942
+0.054599
+0.0543421
+0.0541721
+0.0540738
+0.0540642
+0.0541432
+0.0543106
+0.0545655
+0.0549067
+0.0553326
+0.0557765
+0.0559033
+0.0561154
+0.0564119
+0.0567914
+0.0572522
+0.0577925
+0.0583992
+0.0590759
+0.0598251
+0.0606444
+0.0615307
+0.0624813
+0.0634933
+0.0645638
+0.0656899
+0.0668689
+0.0680979
+0.0693744
+0.0706957
+0.0720594
+0.0734631
+0.0749046
+0.0763817
+0.0778924
+0.0794348
+0.116112
+0.114683
+0.113202
+0.111744
+0.110311
+0.108903
+0.107521
+0.106166
+0.10484
+0.103542
+0.102276
+0.101041
+0.0998385
+0.0986702
+0.0975372
+0.0964394
+0.0953707
+0.0943409
+0.0933511
+0.0924027
+0.0914968
+0.0906349
+0.0898182
+0.0890478
+0.0883252
+0.0876513
+0.0870273
+0.0864544
+0.0859335
+0.0854656
+0.0850516
+0.0846922
+0.0843882
+0.0841402
+0.0839486
+0.0838138
+0.0837362
+0.0827884
+0.0812776
+0.0797982
+0.0783522
+0.0769414
+0.0755678
+0.0742334
+0.0729404
+0.0716911
+0.070487
+0.06933
+0.0682238
+0.0671708
+0.0661737
+0.0652348
+0.0641131
+0.0629867
+0.0619174
+0.0609082
+0.059962
+0.059082
+0.058271
+0.0575321
+0.056868
+0.0562814
+0.0557748
+0.0553502
+0.0550097
+0.0547548
+0.0545861
+0.0544885
+0.054479
+0.0545574
+0.0547236
+0.0549765
+0.0553152
+0.055738
+0.0561455
+0.0562715
+0.0564823
+0.0567768
+0.0571539
+0.0576119
+0.0581488
+0.0587473
+0.0594201
+0.0601651
+0.0609797
+0.0618613
+0.0628069
+0.0638137
+0.0648789
+0.0659996
+0.0671732
+0.0683967
+0.0696677
+0.0709836
+0.0723418
+0.0737401
+0.0751763
+0.0766482
+0.0781538
+0.0796911
+0.117641
+0.116157
+0.114695
+0.113256
+0.111842
+0.110454
+0.109091
+0.107756
+0.10645
+0.105172
+0.103926
+0.10271
+0.101528
+0.100379
+0.0992657
+0.0981813
+0.0971319
+0.0961209
+0.0951496
+0.0942193
+0.0933311
+0.0924863
+0.091686
+0.0909315
+0.0902239
+0.0895643
+0.0889538
+0.0883933
+0.0878839
+0.0874265
+0.0870218
+0.0866706
+0.0863736
+0.0861312
+0.0859441
+0.0858125
+0.0846633
+0.0831288
+0.0816242
+0.0801513
+0.0787118
+0.0773075
+0.0759405
+0.0746116
+0.0733235
+0.072079
+0.0708803
+0.0697299
+0.0686301
+0.0675835
+0.0665925
+0.0656596
+0.0645377
+0.0634189
+0.062357
+0.0613549
+0.0604158
+0.0595424
+0.0587378
+0.0580049
+0.0573463
+0.0567646
+0.0562623
+0.0558415
+0.055504
+0.0552514
+0.0550841
+0.0549875
+0.054978
+0.0550558
+0.0552204
+0.0554711
+0.0558067
+0.0562258
+0.0565971
+0.0567221
+0.0569311
+0.0572234
+0.0575975
+0.058052
+0.058581
+0.0591746
+0.0598425
+0.0605823
+0.0613915
+0.0622672
+0.0632067
+0.0642073
+0.065266
+0.0663803
+0.0675472
+0.0687641
+0.0700284
+0.0713376
+0.0726892
+0.074081
+0.0755107
+0.0769762
+0.0784755
+0.0800066
+0.119119
+0.117653
+0.11621
+0.11479
+0.113395
+0.112026
+0.110683
+0.109367
+0.10808
+0.106822
+0.105595
+0.104399
+0.103236
+0.102107
+0.101009
+0.0999409
+0.0989102
+0.0979175
+0.0969643
+0.0960515
+0.0951804
+0.0943521
+0.0935679
+0.0928287
+0.0921356
+0.0914898
+0.0908922
+0.0903438
+0.0898455
+0.089398
+0.0890023
+0.088659
+0.0883686
+0.0881318
+0.0879489
+0.0866085
+0.0850527
+0.0835253
+0.082028
+0.0805624
+0.0791287
+0.0777303
+0.0763692
+0.0750473
+0.0737668
+0.0725298
+0.0713388
+0.0701958
+0.0691035
+0.0680641
+0.0670802
+0.0661543
+0.0650333
+0.0639232
+0.0628698
+0.0618761
+0.0609449
+0.0600793
+0.059282
+0.0585558
+0.0579035
+0.0573275
+0.0568302
+0.0564136
+0.0560795
+0.0558295
+0.055664
+0.0555684
+0.055559
+0.0556359
+0.0557988
+0.056047
+0.0563792
+0.056794
+0.0571291
+0.0572529
+0.0574601
+0.0577496
+0.0581204
+0.0585708
+0.0590908
+0.0596793
+0.0603416
+0.0610754
+0.0618781
+0.062747
+0.0636794
+0.0646727
+0.065724
+0.0668305
+0.0679897
+0.0691988
+0.0704554
+0.0717568
+0.0731007
+0.0744848
+0.0759068
+0.0773648
+0.0788567
+0.0803806
+0.120618
+0.11917
+0.117746
+0.116345
+0.114969
+0.113619
+0.112295
+0.110998
+0.10973
+0.108491
+0.107283
+0.106106
+0.104962
+0.103852
+0.102767
+0.101717
+0.100705
+0.0997299
+0.0987942
+0.0978985
+0.097044
+0.0962317
+0.0954629
+0.0947385
+0.0940595
+0.093427
+0.0928419
+0.092305
+0.0918173
+0.0913796
+0.0909925
+0.0906567
+0.0903727
+0.0901412
+0.0886114
+0.0870443
+0.0854959
+0.083975
+0.0824843
+0.0810253
+0.0796
+0.07821
+0.0768573
+0.075544
+0.0742721
+0.0730437
+0.0718611
+0.0707266
+0.0696426
+0.0686114
+0.0676355
+0.0667172
+0.0655984
+0.064498
+0.0634542
+0.0624697
+0.0615476
+0.0606905
+0.0599014
+0.0591828
+0.0585374
+0.0579677
+0.057476
+0.0570641
+0.0567339
+0.0564867
+0.0563232
+0.0562287
+0.0562194
+0.0562954
+0.0564564
+0.0567017
+0.0570301
+0.0574402
+0.0577394
+0.0578619
+0.0580669
+0.0583534
+0.0587204
+0.0591662
+0.0596766
+0.0602594
+0.0609155
+0.0616424
+0.0624378
+0.063299
+0.0642235
+0.0652084
+0.0662512
+0.0673491
+0.0684995
+0.0696998
+0.0709474
+0.07224
+0.073575
+0.0749504
+0.0763638
+0.0778132
+0.0792967
+0.0808123
+0.122138
+0.120709
+0.119302
+0.11792
+0.116563
+0.115231
+0.113926
+0.112648
+0.111399
+0.110179
+0.108989
+0.107831
+0.106705
+0.105608
+0.104541
+0.10351
+0.102515
+0.101557
+0.100638
+0.0997593
+0.0989209
+0.0981242
+0.0973703
+0.0966602
+0.0959948
+0.0953751
+0.094802
+0.0942764
+0.0937989
+0.0933705
+0.0929917
+0.0926631
+0.0922826
+0.0906741
+0.0890904
+0.0875288
+0.085988
+0.084476
+0.0829943
+0.0815445
+0.0801283
+0.0787477
+0.0774044
+0.0761005
+0.0748381
+0.0736191
+0.072446
+0.0713208
+0.0702459
+0.0692237
+0.0682565
+0.0673468
+0.0662311
+0.0651414
+0.0641081
+0.0631339
+0.0622215
+0.0613739
+0.0605936
+0.0598834
+0.0592457
+0.0586828
+0.0581971
+0.0577904
+0.0574643
+0.0572204
+0.0570589
+0.0569656
+0.0569564
+0.0570315
+0.0571904
+0.0574325
+0.0577568
+0.0581618
+0.0584255
+0.0585466
+0.0587492
+0.0590324
+0.0593952
+0.0598346
+0.0603364
+0.0609129
+0.0615619
+0.0622813
+0.0630687
+0.0639214
+0.064837
+0.0658127
+0.0668461
+0.0679344
+0.0690751
+0.0702655
+0.0715033
+0.072786
+0.0741112
+0.0754767
+0.0768805
+0.0783203
+0.0797944
+0.0813007
+0.123676
+0.122264
+0.120876
+0.119512
+0.118173
+0.11686
+0.115573
+0.114314
+0.113083
+0.111881
+0.11071
+0.10957
+0.108462
+0.10738
+0.106331
+0.105317
+0.104339
+0.103399
+0.102496
+0.101633
+0.100811
+0.100029
+0.0992894
+0.0985931
+0.0979409
+0.0973336
+0.0967721
+0.0962572
+0.0957896
+0.0953701
+0.0949993
+0.0944158
+0.0927926
+0.0911931
+0.0896186
+0.0880641
+0.0865329
+0.0850305
+0.0835586
+0.0821188
+0.0807128
+0.0793423
+0.0780093
+0.0767156
+0.0754635
+0.0742548
+0.0730918
+0.0719767
+0.0709118
+0.0698994
+0.0689417
+0.068041
+0.0669297
+0.0658515
+0.0648295
+0.0638663
+0.0629646
+0.0621271
+0.0613564
+0.060655
+0.0600255
+0.0594701
+0.0589908
+0.0585896
+0.058268
+0.0580274
+0.0578682
+0.0577762
+0.0577672
+0.0578412
+0.0579979
+0.0582367
+0.0585565
+0.058956
+0.0591805
+0.0593001
+0.0595001
+0.0597798
+0.060138
+0.0605719
+0.0610677
+0.0616373
+0.0622788
+0.06299
+0.0637686
+0.0646121
+0.065518
+0.0664838
+0.0675069
+0.0685847
+0.0697147
+0.0708944
+0.0721214
+0.0733933
+0.0747077
+0.0760626
+0.0774557
+0.0788851
+0.0803488
+0.0818449
+0.125232
+0.123839
+0.122468
+0.121122
+0.119801
+0.118506
+0.117237
+0.115996
+0.114783
+0.113599
+0.112446
+0.111324
+0.110232
+0.109167
+0.108135
+0.107138
+0.106178
+0.105254
+0.104367
+0.10352
+0.102712
+0.101945
+0.10122
+0.100537
+0.0998971
+0.0993018
+0.0987515
+0.0982469
+0.0977889
+0.097378
+0.0966013
+0.0949649
+0.0933512
+0.0917615
+0.0901969
+0.0886503
+0.0871294
+0.0856375
+0.0841763
+0.0827472
+0.081352
+0.0799925
+0.0786704
+0.0773879
+0.0761467
+0.0749491
+0.0737971
+0.0726928
+0.0716385
+0.0706365
+0.0696889
+0.0687981
+0.0676919
+0.0666261
+0.0656161
+0.0646646
+0.0637742
+0.0629475
+0.062187
+0.0614951
+0.0608743
+0.0603267
+0.0598542
+0.0594588
+0.059142
+0.058905
+0.0587482
+0.0586575
+0.0586486
+0.0587215
+0.0588759
+0.0591111
+0.0594262
+0.0598199
+0.0599967
+0.0601146
+0.0603119
+0.0605879
+0.0609414
+0.0613711
+0.0618679
+0.0624302
+0.0630637
+0.0637661
+0.0645353
+0.065369
+0.0662645
+0.0672196
+0.0682316
+0.0692982
+0.0704167
+0.0715849
+0.0728002
+0.0740604
+0.0753633
+0.0767065
+0.0780882
+0.0795062
+0.0809586
+0.0824437
+0.126807
+0.125431
+0.124079
+0.12275
+0.121447
+0.120169
+0.118918
+0.117695
+0.1165
+0.115334
+0.114198
+0.113093
+0.112017
+0.110968
+0.109954
+0.108974
+0.108029
+0.107121
+0.10625
+0.105418
+0.104625
+0.103872
+0.10316
+0.10249
+0.101863
+0.101279
+0.10074
+0.100245
+0.0997962
+0.0988356
+0.0971875
+0.0955611
+0.0939576
+0.0923783
+0.0908237
+0.0892864
+0.0877766
+0.0862959
+0.0848459
+0.0834283
+0.0820447
+0.0806969
+0.0793866
+0.0781158
+0.0768864
+0.0757005
+0.07456
+0.0734673
+0.0724243
+0.0714332
+0.0704964
+0.0696133
+0.0685157
+0.0674629
+0.0664657
+0.0655265
+0.064648
+0.0638326
+0.0630827
+0.0624008
+0.0617891
+0.0612496
+0.0607844
+0.0603951
+0.0600832
+0.0598499
+0.0596955
+0.0596064
+0.0595976
+0.0596693
+0.0598213
+0.0600528
+0.060363
+0.0607506
+0.0608808
+0.060997
+0.0611915
+0.0614635
+0.0618119
+0.0622356
+0.062733
+0.0632891
+0.063914
+0.0646072
+0.0653665
+0.0661897
+0.0670743
+0.068018
+0.0690183
+0.0700729
+0.0711793
+0.0723351
+0.0735381
+0.0747859
+0.0760763
+0.0774072
+0.0787765
+0.0801823
+0.0816227
+0.0830959
+0.128401
+0.127042
+0.125707
+0.124396
+0.12311
+0.121849
+0.120616
+0.11941
+0.118232
+0.117083
+0.115965
+0.114877
+0.113816
+0.112784
+0.111786
+0.110822
+0.109893
+0.109001
+0.108145
+0.107327
+0.106549
+0.105809
+0.105111
+0.104453
+0.103838
+0.103265
+0.102736
+0.102251
+0.101116
+0.0994569
+0.0978192
+0.0962035
+0.0946109
+0.0930426
+0.0914966
+0.0899714
+0.0884733
+0.0870044
+0.0855665
+0.084161
+0.0827897
+0.0814541
+0.0801562
+0.0788978
+0.0776808
+0.0765072
+0.075379
+0.0742982
+0.0732671
+0.0722876
+0.071362
+0.0704828
+0.0693989
+0.0683597
+0.0673758
+0.0664495
+0.0655833
+0.0647797
+0.0640409
+0.0633693
+0.062767
+0.062236
+0.0617782
+0.0613952
+0.0610884
+0.060859
+0.0607072
+0.0606195
+0.0606109
+0.0606815
+0.0608309
+0.0610585
+0.0613636
+0.061745
+0.0618299
+0.0619443
+0.0621358
+0.0624037
+0.062747
+0.0631644
+0.0636545
+0.0642112
+0.0648273
+0.0655108
+0.0662598
+0.067072
+0.0679451
+0.0688768
+0.0698649
+0.0709069
+0.0720005
+0.0731433
+0.0743332
+0.0755678
+0.0768451
+0.0781629
+0.0795192
+0.0809122
+0.0823398
+0.0838004
+0.130011
+0.12867
+0.127351
+0.126058
+0.124789
+0.123546
+0.122329
+0.12114
+0.119979
+0.118847
+0.117746
+0.116674
+0.115628
+0.114612
+0.11363
+0.112682
+0.111769
+0.110892
+0.110051
+0.109247
+0.108482
+0.107756
+0.10707
+0.106425
+0.105821
+0.105259
+0.10474
+0.103438
+0.10177
+0.100122
+0.0984956
+0.0968903
+0.0953061
+0.0937462
+0.0922121
+0.0906997
+0.0892138
+0.0877574
+0.086332
+0.0849391
+0.0835806
+0.0822579
+0.0809729
+0.0797273
+0.0785232
+0.0773623
+0.0762468
+0.0751785
+0.0741596
+0.0731921
+0.072278
+0.0714089
+0.0703393
+0.0693142
+0.068344
+0.067431
+0.0665776
+0.0657861
+0.0650588
+0.0643978
+0.0638052
+0.063283
+0.0628328
+0.0624563
+0.0621547
+0.0619292
+0.0617801
+0.0616939
+0.0616854
+0.0617547
+0.0619016
+0.0621253
+0.0624252
+0.0628001
+0.062841
+0.0629536
+0.0631421
+0.0634057
+0.0637436
+0.0641545
+0.0646371
+0.0651898
+0.0658008
+0.0664743
+0.0672126
+0.0680134
+0.0688746
+0.0697939
+0.0707692
+0.071798
+0.0728782
+0.0740075
+0.0751837
+0.0764046
+0.0776681
+0.0789722
+0.0803149
+0.0816942
+0.0831085
+0.0845558
+0.131639
+0.130314
+0.129012
+0.127735
+0.126483
+0.125257
+0.124057
+0.122885
+0.121741
+0.120626
+0.11954
+0.118484
+0.117453
+0.116454
+0.115487
+0.114554
+0.113656
+0.112793
+0.111967
+0.111177
+0.110426
+0.109712
+0.109039
+0.108405
+0.107812
+0.107261
+0.1058
+0.104124
+0.102467
+0.100829
+0.099211
+0.0976153
+0.096043
+0.0944953
+0.0929735
+0.0914737
+0.0900006
+0.0885571
+0.0871448
+0.0857652
+0.0844199
+0.0831105
+0.0818389
+0.0806068
+0.079416
+0.0782684
+0.0771659
+0.0761105
+0.0751043
+0.0741491
+0.073247
+0.0723895
+0.0713346
+0.070324
+0.0693679
+0.0684686
+0.0676283
+0.0668491
+0.0661333
+0.0654828
+0.0648998
+0.064386
+0.063943
+0.0635725
+0.0632756
+0.0630535
+0.062907
+0.0628239
+0.0628156
+0.0628836
+0.0630278
+0.0632476
+0.0635422
+0.0638756
+0.0639113
+0.064022
+0.0642074
+0.0644666
+0.064799
+0.0652032
+0.0656781
+0.0662221
+0.066832
+0.0674952
+0.0682224
+0.0690115
+0.0698604
+0.0707669
+0.071729
+0.0727443
+0.0738106
+0.0749259
+0.0760878
+0.0772945
+0.0785437
+0.0798335
+0.0811619
+0.0825271
+0.0839273
+0.0853607
+0.133206
+0.131974
+0.130689
+0.129429
+0.128193
+0.126983
+0.1258
+0.124644
+0.123516
+0.122417
+0.121348
+0.120306
+0.11929
+0.118307
+0.117355
+0.116438
+0.115554
+0.114705
+0.113893
+0.113117
+0.112378
+0.111677
+0.111016
+0.110393
+0.109811
+0.108199
+0.106516
+0.104849
+0.103201
+0.101573
+0.0999671
+0.0983837
+0.0968238
+0.0952889
+0.0937799
+0.0922933
+0.0908334
+0.0894034
+0.0880046
+0.0866387
+0.0853072
+0.0840117
+0.0827539
+0.0815356
+0.0803586
+0.0792246
+0.0781357
+0.0770936
+0.0761003
+0.0751578
+0.0742679
+0.0734212
+0.0723731
+0.0713767
+0.0704344
+0.0695483
+0.0687207
+0.0679536
+0.0672491
+0.0666093
+0.066036
+0.065531
+0.0650958
+0.0647319
+0.0644404
+0.0642223
+0.0640785
+0.0639965
+0.0639884
+0.0640552
+0.0641967
+0.0644125
+0.0647018
+0.0650027
+0.0650378
+0.0651466
+0.0653287
+0.0655836
+0.0659103
+0.0663078
+0.0667748
+0.06731
+0.0679116
+0.0685709
+0.0692868
+0.0700639
+0.0709002
+0.0717936
+0.0727421
+0.0737434
+0.0747955
+0.0758963
+0.0770437
+0.0782356
+0.07947
+0.080745
+0.0820586
+0.0834091
+0.0847948
+0.0862138
+0.134525
+0.133649
+0.132381
+0.131136
+0.129917
+0.128724
+0.127557
+0.126417
+0.125305
+0.124221
+0.123168
+0.12214
+0.12114
+0.120171
+0.119234
+0.118331
+0.117462
+0.116627
+0.115828
+0.115065
+0.114339
+0.11365
+0.113
+0.112341
+0.110633
+0.10894
+0.107266
+0.10561
+0.103974
+0.102359
+0.100765
+0.0991945
+0.0976476
+0.0961258
+0.0946302
+0.0931571
+0.091711
+0.0902949
+0.0889102
+0.0875584
+0.0862411
+0.0849598
+0.0837163
+0.0825122
+0.0813493
+0.0802293
+0.0791542
+0.0781257
+0.0771457
+0.0762161
+0.0753387
+0.074492
+0.073459
+0.0724775
+0.0715497
+0.0706776
+0.0698633
+0.0691089
+0.0684164
+0.0677876
+0.0672243
+0.0667283
+0.0663009
+0.0659437
+0.0656575
+0.0654436
+0.0653024
+0.0652217
+0.0652137
+0.0652793
+0.0654181
+0.0656299
+0.0659139
+0.0661831
+0.0662176
+0.0663245
+0.0665034
+0.0667537
+0.0670747
+0.0674654
+0.0679245
+0.0684506
+0.0690423
+0.0696978
+0.0704033
+0.0711682
+0.0719917
+0.0728718
+0.0738063
+0.0747934
+0.075831
+0.0769169
+0.0780493
+0.0792261
+0.0804453
+0.081705
+0.0830035
+0.0843389
+0.0857095
+0.0871136
+0.11627
+0.114887
+0.11353
+0.112199
+0.110896
+0.10962
+0.108374
+0.107158
+0.105974
+0.104822
+0.103703
+0.102619
+0.101571
+0.10056
+0.099586
+0.0986515
+0.0977571
+0.0969041
+0.0960934
+0.0953262
+0.0946034
+0.093921
+0.0932824
+0.0926913
+0.0921485
+0.0916548
+0.091211
+0.090818
+0.0897816
+0.0884625
+0.0871219
+0.0857558
+0.0844245
+0.0831296
+0.0818704
+0.0806461
+0.0794634
+0.078324
+0.07723
+0.0761833
+0.0751859
+0.0742397
+0.0733468
+0.0724982
+0.0717047
+0.0709699
+0.0702958
+0.069684
+0.0691363
+0.0686504
+0.0682155
+0.0678368
+0.0675175
+0.067268
+0.0670874
+0.0669659
+0.0665892
+0.0660363
+0.065552
+0.0651306
+0.0647744
+0.0644907
+0.0642805
+0.0641444
+0.064074
+0.0640585
+0.0641179
+0.0641693
+0.0638066
+0.063483
+0.0632306
+0.0630493
+0.0629246
+0.0628699
+0.0628914
+0.0629657
+0.0630902
+0.0632807
+0.0635135
+0.0637951
+0.0641503
+0.0645764
+0.0650179
+0.0655093
+0.0660619
+0.0666819
+0.0673502
+0.0676756
+0.0680701
+0.0685323
+0.069061
+0.0696546
+0.0703114
+0.0710298
+0.0718078
+0.0726436
+0.0735296
+0.0744625
+0.0754476
+0.0764827
+0.114708
+0.113306
+0.11193
+0.110579
+0.109256
+0.107962
+0.106696
+0.105461
+0.104257
+0.103086
+0.101949
+0.100846
+0.0997788
+0.098749
+0.0977574
+0.0968052
+0.0958937
+0.0950239
+0.094197
+0.0934142
+0.0926766
+0.0919852
+0.0913346
+0.0907308
+0.0901761
+0.0896716
+0.089218
+0.0888161
+0.0882763
+0.0869343
+0.0855806
+0.0841895
+0.0828331
+0.0815129
+0.0802308
+0.0789844
+0.0777763
+0.0766119
+0.0754931
+0.074422
+0.0734006
+0.0724312
+0.0715157
+0.0706513
+0.0698368
+0.0690822
+0.0683894
+0.0677604
+0.067197
+0.0667002
+0.0662557
+0.0658684
+0.0655394
+0.0652824
+0.065098
+0.0649766
+0.0647604
+0.0641917
+0.0636934
+0.0632627
+0.062896
+0.0626037
+0.0623872
+0.0622469
+0.0621804
+0.0621679
+0.0622291
+0.0623672
+0.0620755
+0.0617503
+0.0614909
+0.0613087
+0.0611838
+0.0611274
+0.0611496
+0.0612303
+0.0613571
+0.0615531
+0.0617892
+0.0620786
+0.0624435
+0.0628812
+0.0633346
+0.063839
+0.0644059
+0.0650416
+0.0657391
+0.0660967
+0.0665005
+0.0669736
+0.0675145
+0.0681215
+0.068793
+0.0695271
+0.0703218
+0.071175
+0.0720831
+0.0730345
+0.0740386
+0.0750931
+0.113166
+0.111745
+0.110349
+0.10898
+0.107637
+0.106322
+0.105037
+0.103782
+0.102559
+0.101368
+0.100211
+0.0990888
+0.0980028
+0.0969541
+0.095944
+0.0949736
+0.0940443
+0.0931572
+0.0923137
+0.0915147
+0.0907617
+0.0900556
+0.0893977
+0.088781
+0.0882141
+0.0876982
+0.0872344
+0.0868234
+0.0864659
+0.085435
+0.0840682
+0.0826517
+0.0812695
+0.0799235
+0.0786155
+0.0773474
+0.076115
+0.0749247
+0.0737804
+0.072684
+0.0716379
+0.0706442
+0.0697052
+0.0688232
+0.0679882
+0.0672128
+0.0665006
+0.0658536
+0.0652737
+0.0647628
+0.0643107
+0.0639132
+0.0635753
+0.0633103
+0.0631202
+0.0630007
+0.0629476
+0.0623696
+0.0618565
+0.0614162
+0.0610383
+0.0607372
+0.0605139
+0.0603693
+0.0603011
+0.0602976
+0.0603606
+0.060503
+0.0603742
+0.0600476
+0.0597807
+0.0595933
+0.0594726
+0.0594147
+0.0594374
+0.059525
+0.0596542
+0.0598558
+0.0600953
+0.0603928
+0.0607679
+0.0612165
+0.0616831
+0.0622009
+0.0627826
+0.0634346
+0.0641436
+0.0645536
+0.064967
+0.0654511
+0.0660045
+0.0666253
+0.0673117
+0.0680617
+0.0688733
+0.0697443
+0.0706725
+0.0716451
+0.0726683
+0.0737425
+0.111647
+0.110206
+0.10879
+0.1074
+0.106038
+0.104703
+0.103398
+0.102123
+0.100879
+0.0996686
+0.0984915
+0.0973495
+0.0962439
+0.0951758
+0.0941466
+0.0931575
+0.0922099
+0.091305
+0.0904441
+0.0896286
+0.0888595
+0.0881382
+0.0874659
+0.0868427
+0.086263
+0.0857355
+0.085261
+0.0848403
+0.0844745
+0.083966
+0.0825862
+0.0811438
+0.0797355
+0.0783631
+0.0770286
+0.075734
+0.0744809
+0.0732642
+0.0720935
+0.0709711
+0.0698993
+0.0688806
+0.0679172
+0.0670117
+0.0661605
+0.0653634
+0.0646308
+0.0639649
+0.0633677
+0.0628413
+0.0623788
+0.0619723
+0.0616264
+0.061353
+0.0611569
+0.0610388
+0.0609846
+0.0605718
+0.0600434
+0.059591
+0.0592034
+0.0588929
+0.0586626
+0.0585135
+0.0584435
+0.0584424
+0.0585146
+0.0586615
+0.0587055
+0.0583774
+0.0581029
+0.05791
+0.0577901
+0.0577342
+0.0577577
+0.0578495
+0.0579841
+0.0581914
+0.0584344
+0.0587403
+0.0591259
+0.0595815
+0.0600661
+0.0605978
+0.0611947
+0.0618635
+0.0625764
+0.0630488
+0.063472
+0.0639674
+0.0645335
+0.0651683
+0.0658699
+0.0666362
+0.0674649
+0.0683538
+0.0693006
+0.0702964
+0.071339
+0.0724329
+0.110149
+0.108689
+0.107253
+0.105843
+0.10446
+0.103105
+0.10178
+0.100484
+0.09922
+0.0979886
+0.0967911
+0.0956288
+0.094503
+0.093415
+0.0923662
+0.0913578
+0.0903913
+0.0894681
+0.0885894
+0.0877566
+0.086971
+0.0862339
+0.0855466
+0.0849102
+0.0843217
+0.0837819
+0.0832962
+0.0828656
+0.082491
+0.0821731
+0.0811362
+0.0796676
+0.0782327
+0.0768335
+0.075472
+0.0741502
+0.0728703
+0.0716322
+0.0704344
+0.0692851
+0.0681868
+0.0671421
+0.0661535
+0.0652234
+0.0643546
+0.0635358
+0.0627818
+0.0620961
+0.0614808
+0.060938
+0.0604646
+0.0600485
+0.0596944
+0.0594121
+0.0592095
+0.0590875
+0.0590377
+0.0588007
+0.0582563
+0.0577898
+0.0573935
+0.0570732
+0.0568355
+0.0566816
+0.0566097
+0.0566085
+0.0566921
+0.0568447
+0.057072
+0.0567426
+0.0564602
+0.0562617
+0.0561395
+0.056089
+0.0561131
+0.0562076
+0.0563496
+0.0565629
+0.0568095
+0.0571241
+0.0575205
+0.0579828
+0.0584866
+0.0590324
+0.059645
+0.060331
+0.0610477
+0.0615851
+0.0620183
+0.0625253
+0.0631043
+0.0637534
+0.0644704
+0.0652531
+0.0660992
+0.0670062
+0.0679709
+0.0689816
+0.0700438
+0.0711576
+0.108676
+0.107195
+0.105739
+0.104309
+0.102905
+0.10153
+0.100183
+0.0988664
+0.0975814
+0.096329
+0.0951107
+0.0939276
+0.0927811
+0.0916727
+0.0906037
+0.0895756
+0.0885896
+0.0876474
+0.0867502
+0.0858996
+0.0850969
+0.0843434
+0.0836406
+0.0829896
+0.08239
+0.0818375
+0.0813402
+0.0808993
+0.0805155
+0.0801898
+0.0797165
+0.0782249
+0.0767631
+0.0753366
+0.0739475
+0.072598
+0.0712902
+0.0700266
+0.068805
+0.067628
+0.0665024
+0.0654308
+0.0644159
+0.0634604
+0.0625671
+0.0617317
+0.0609555
+0.0602489
+0.0596146
+0.0590547
+0.0585697
+0.0581435
+0.0577808
+0.0574891
+0.0572797
+0.0571536
+0.0571084
+0.0570588
+0.0564976
+0.0560164
+0.055611
+0.0552803
+0.0550349
+0.0548759
+0.0548022
+0.054801
+0.0548872
+0.0550551
+0.0552952
+0.0551442
+0.0548558
+0.0546515
+0.0545269
+0.0544756
+0.0545004
+0.0546043
+0.0547533
+0.0549732
+0.0552226
+0.0555462
+0.0559538
+0.0564239
+0.056945
+0.0575079
+0.0581366
+0.058831
+0.0595592
+0.0601657
+0.060609
+0.0611277
+0.0617198
+0.0623833
+0.0631158
+0.0639151
+0.0647787
+0.065704
+0.066679
+0.067709
+0.0687909
+0.0699246
+0.107227
+0.105726
+0.104249
+0.102798
+0.101374
+0.0999769
+0.098609
+0.0972713
+0.0959649
+0.0946911
+0.0934514
+0.092247
+0.0910795
+0.0899501
+0.0888603
+0.0878118
+0.0868058
+0.085844
+0.0849278
+0.0840587
+0.0832382
+0.0824678
+0.0817488
+0.0810827
+0.0804707
+0.0799059
+0.0793965
+0.0789447
+0.0785514
+0.0782175
+0.0779437
+0.0768137
+0.0753285
+0.0738743
+0.0724572
+0.0710794
+0.0697431
+0.0684509
+0.0672053
+0.0660021
+0.0648482
+0.0637488
+0.0627067
+0.0617248
+0.0608059
+0.0599531
+0.0591539
+0.0584255
+0.0577711
+0.0571932
+0.0566941
+0.0562594
+0.0558875
+0.0555859
+0.0553693
+0.0552388
+0.055195
+0.055225
+0.05477
+0.0542735
+0.0538587
+0.0535171
+0.0532636
+0.0530993
+0.0530235
+0.0530223
+0.0531114
+0.0532905
+0.0535409
+0.0535813
+0.0532931
+0.0530828
+0.0529559
+0.0529034
+0.052929
+0.053043
+0.0531964
+0.0534227
+0.0536723
+0.0540052
+0.0544243
+0.0549082
+0.0554435
+0.0560276
+0.0566696
+0.0573698
+0.0581079
+0.0587936
+0.0592472
+0.0597777
+0.060383
+0.061061
+0.0618093
+0.0626252
+0.0635063
+0.0644431
+0.065435
+0.0664843
+0.0675857
+0.0687393
+0.105803
+0.104282
+0.102784
+0.101312
+0.0998666
+0.0984485
+0.0970591
+0.0956997
+0.0943715
+0.093076
+0.0918144
+0.0905883
+0.0893991
+0.0882482
+0.0871372
+0.0860676
+0.085041
+0.084059
+0.0831231
+0.082235
+0.0813961
+0.0806081
+0.0798724
+0.0791904
+0.0785637
+0.077988
+0.077466
+0.0770028
+0.0765996
+0.0762571
+0.0759763
+0.0754392
+0.0739267
+0.0724487
+0.0710032
+0.0695966
+0.0682313
+0.0669099
+0.0656351
+0.0644093
+0.0632267
+0.0620986
+0.0610283
+0.0600189
+0.0590735
+0.0581953
+0.0573793
+0.0566282
+0.0559528
+0.0553559
+0.0548401
+0.054396
+0.0540163
+0.0537046
+0.0534804
+0.0533453
+0.0533
+0.0533377
+0.0530766
+0.0525642
+0.0521389
+0.0517866
+0.0515245
+0.0513547
+0.0512768
+0.0512755
+0.0513677
+0.0515529
+0.0518198
+0.0520637
+0.0517761
+0.0515595
+0.0514302
+0.0513766
+0.051403
+0.0515226
+0.0516855
+0.0519157
+0.0521679
+0.0525103
+0.0529413
+0.0534392
+0.0539891
+0.0545928
+0.055237
+0.0559562
+0.056704
+0.0574224
+0.0579362
+0.0584786
+0.0590973
+0.0597898
+0.0605538
+0.0613865
+0.0622811
+0.063231
+0.0642416
+0.0653101
+0.066431
+0.0676043
+0.104336
+0.102864
+0.101346
+0.0998524
+0.0983853
+0.0969455
+0.0955342
+0.0941528
+0.0928025
+0.0914848
+0.090201
+0.0889526
+0.0877412
+0.0865683
+0.0854354
+0.0843443
+0.0832965
+0.0822936
+0.0813374
+0.0804296
+0.0795717
+0.0787654
+0.0780123
+0.077314
+0.0766719
+0.0760848
+0.0755497
+0.0750747
+0.074661
+0.0743096
+0.0740214
+0.0737971
+0.0725636
+0.0710575
+0.0695878
+0.0681519
+0.0667571
+0.065406
+0.0641012
+0.0628458
+0.0616404
+0.0604827
+0.0593833
+0.0583454
+0.0573725
+0.0564678
+0.0556345
+0.0548594
+0.054162
+0.0535451
+0.0530117
+0.0525527
+0.0521675
+0.0518476
+0.0516154
+0.0514754
+0.0514284
+0.0514712
+0.0514208
+0.0508917
+0.0504523
+0.050092
+0.0498211
+0.0496454
+0.0495653
+0.049564
+0.0496593
+0.0498509
+0.0501354
+0.0504788
+0.0503086
+0.0500858
+0.0499541
+0.0498993
+0.0499264
+0.0500495
+0.0502247
+0.0504541
+0.0507135
+0.0510657
+0.0515088
+0.0520211
+0.0525858
+0.0531945
+0.0538554
+0.0545939
+0.0553512
+0.0560817
+0.0566796
+0.0572339
+0.0578659
+0.058573
+0.0593526
+0.0602009
+0.0611047
+0.0620726
+0.0631017
+0.0641892
+0.0653293
+0.0665221
+0.102828
+0.101438
+0.0999343
+0.0984196
+0.0969309
+0.0954691
+0.0940357
+0.0926319
+0.0912591
+0.0899188
+0.0886123
+0.0873412
+0.0861071
+0.0849116
+0.0837564
+0.0826431
+0.0815734
+0.0805491
+0.079572
+0.0786437
+0.0777662
+0.0769409
+0.0761698
+0.0754544
+0.0747964
+0.0741971
+0.0736486
+0.0731613
+0.0727367
+0.072376
+0.07208
+0.0718497
+0.0712418
+0.0697072
+0.0682084
+0.0667478
+0.0653232
+0.0639417
+0.0626065
+0.0613204
+0.0600867
+0.058904
+0.0577745
+0.0567072
+0.0557057
+0.0547735
+0.0539142
+0.0531221
+0.0524016
+0.0517637
+0.0512117
+0.0507371
+0.0503457
+0.0500177
+0.0497769
+0.0496317
+0.049583
+0.0496267
+0.0497525
+0.0492599
+0.0488058
+0.0484373
+0.0481571
+0.0479753
+0.0478929
+0.0478915
+0.0479902
+0.0481884
+0.0484848
+0.0488464
+0.0488919
+0.0486626
+0.0485311
+0.048476
+0.0485039
+0.0486306
+0.0488185
+0.0490468
+0.0493137
+0.0496758
+0.0501311
+0.0506581
+0.051237
+0.0518511
+0.0525289
+0.0532868
+0.0540534
+0.0547958
+0.0554811
+0.0560472
+0.0566924
+0.057414
+0.0582092
+0.0590644
+0.0599852
+0.0609709
+0.0620183
+0.0631244
+0.0642834
+0.0654953
+0.101342
+0.099931
+0.0985486
+0.0970152
+0.0955045
+0.0940206
+0.0925647
+0.0911383
+0.0897427
+0.0883793
+0.0870497
+0.0857555
+0.0844983
+0.0832797
+0.0821015
+0.0809654
+0.0798733
+0.0788269
+0.0778282
+0.0768789
+0.0759809
+0.0751361
+0.0743462
+0.0736131
+0.0729385
+0.0723238
+0.0717611
+0.0712608
+0.0708249
+0.0704543
+0.0701503
+0.0699136
+0.069745
+0.0684004
+0.0668723
+0.0653819
+0.0639318
+0.06252
+0.0611537
+0.0598364
+0.0585715
+0.0573623
+0.0562051
+0.0551074
+0.0540763
+0.0531155
+0.052229
+0.0514195
+0.0506747
+0.0500149
+0.0494434
+0.0489521
+0.0485468
+0.0482178
+0.047968
+0.0478173
+0.0477668
+0.0478114
+0.047942
+0.0476729
+0.0472036
+0.0468266
+0.0465367
+0.0463485
+0.0462635
+0.0462623
+0.0463645
+0.0465696
+0.0468763
+0.0472592
+0.0475278
+0.0472918
+0.0471565
+0.0471116
+0.0471403
+0.0472707
+0.0474718
+0.0476986
+0.047973
+0.0483452
+0.0488129
+0.0493546
+0.0499404
+0.0505669
+0.0512617
+0.0520392
+0.0528146
+0.0535656
+0.0543371
+0.054915
+0.0555734
+0.0563093
+0.0571192
+0.0579883
+0.0589259
+0.059929
+0.0609944
+0.0621187
+0.0632961
+0.0645265
+0.0998805
+0.0984487
+0.0970452
+0.0956403
+0.0941075
+0.0926013
+0.0911227
+0.0896734
+0.0882546
+0.0868678
+0.0855148
+0.084197
+0.0829161
+0.0816739
+0.0804722
+0.0793128
+0.0781976
+0.0771285
+0.0761074
+0.0751364
+0.0742173
+0.0733522
+0.072543
+0.0717914
+0.0710995
+0.0704688
+0.0698911
+0.0693774
+0.0689295
+0.0685488
+0.0682362
+0.0679929
+0.0678195
+0.0670585
+0.0655821
+0.0640617
+0.0625811
+0.0611431
+0.0597459
+0.0583969
+0.0571001
+0.0558591
+0.0546777
+0.0535494
+0.0524877
+0.0514973
+0.0505824
+0.0497473
+0.048985
+0.0483021
+0.04771
+0.0472013
+0.0467809
+0.0464515
+0.0461922
+0.0460357
+0.0459832
+0.0460289
+0.0461645
+0.0461354
+0.0456502
+0.0452647
+0.0449647
+0.0447699
+0.0446819
+0.0446812
+0.044787
+0.0449993
+0.0453166
+0.0457219
+0.0461925
+0.0459846
+0.0458455
+0.0458077
+0.0458409
+0.045975
+0.0461897
+0.0464142
+0.0466966
+0.0470789
+0.0475591
+0.0481119
+0.0487075
+0.0493465
+0.0500583
+0.0508511
+0.051634
+0.0523973
+0.0531883
+0.0538452
+0.0545164
+0.0552664
+0.0560913
+0.0569761
+0.0579302
+0.0589502
+0.0600329
+0.0611749
+0.0623702
+0.0636185
+0.0984462
+0.0969932
+0.0955683
+0.0941729
+0.09274
+0.0912123
+0.089711
+0.0882385
+0.0867962
+0.0853858
+0.0840089
+0.0826671
+0.0813621
+0.0800958
+0.0788701
+0.0776868
+0.0765479
+0.0754554
+0.0744114
+0.0734179
+0.0724771
+0.0715909
+0.0707615
+0.0699909
+0.069281
+0.0686335
+0.0680403
+0.0675125
+0.0670522
+0.0666607
+0.0663393
+0.0660889
+0.0659105
+0.0657514
+0.064253
+0.0627903
+0.0612789
+0.0598096
+0.0583855
+0.0570052
+0.055676
+0.0544025
+0.0531889
+0.0520318
+0.0509384
+0.0499172
+0.0489729
+0.0481098
+0.0473324
+0.0466292
+0.0460157
+0.0454887
+0.0450523
+0.044719
+0.0444534
+0.0442907
+0.0442361
+0.0442829
+0.0444239
+0.0446525
+0.044151
+0.0437536
+0.0434463
+0.0432447
+0.0431535
+0.0431534
+0.0432629
+0.0434826
+0.0438109
+0.0442272
+0.0447194
+0.0447465
+0.0446035
+0.0445647
+0.0446068
+0.0447445
+0.0449779
+0.0451887
+0.0454789
+0.0458713
+0.046364
+0.04693
+0.0475437
+0.048195
+0.0489235
+0.0497253
+0.0505155
+0.0512961
+0.0520979
+0.0528445
+0.0535283
+0.054292
+0.0551314
+0.0560314
+0.0570012
+0.0580376
+0.059137
+0.060296
+0.0615084
+0.0627737
+0.0970401
+0.0955657
+0.0941192
+0.092702
+0.0913153
+0.0898482
+0.0883258
+0.086832
+0.0853681
+0.0839348
+0.0825337
+0.0811675
+0.079838
+0.0785472
+0.0772969
+0.0760891
+0.0749259
+0.0738094
+0.0727418
+0.0717252
+0.0707619
+0.069854
+0.0690037
+0.0682132
+0.0674846
+0.0668198
+0.0662103
+0.0656678
+0.0651944
+0.0647917
+0.064461
+0.0642033
+0.0640196
+0.0639105
+0.0629639
+0.0614756
+0.0600285
+0.0585278
+0.0570717
+0.0556639
+0.054303
+0.0529965
+0.0517499
+0.0505599
+0.0494339
+0.0483811
+0.0474061
+0.0465139
+0.0457094
+0.0449909
+0.0443569
+0.0438187
+0.0433654
+0.0430191
+0.0427561
+0.042587
+0.0425302
+0.0425781
+0.0427247
+0.0429826
+0.0427115
+0.0423006
+0.0419873
+0.0417787
+0.0416843
+0.0416848
+0.0417981
+0.0420255
+0.0423651
+0.0427905
+0.0433033
+0.0435835
+0.0434367
+0.0433968
+0.04344
+0.0435814
+0.043827
+0.0440373
+0.044335
+0.0447375
+0.0452425
+0.0458224
+0.0464541
+0.0471171
+0.047862
+0.0486623
+0.0494689
+0.0502663
+0.0510782
+0.051917
+0.0526129
+0.0533896
+0.0542431
+0.0551575
+0.0561424
+0.0571944
+0.0583097
+0.0594848
+0.0607134
+0.061995
+0.0956545
+0.0941673
+0.0926993
+0.09126
+0.0898511
+0.0884739
+0.0869705
+0.085453
+0.0839653
+0.0825088
+0.0810855
+0.0796969
+0.0783447
+0.0770297
+0.0757543
+0.0745216
+0.0733335
+0.0721924
+0.0711005
+0.0700601
+0.0690736
+0.0681432
+0.0672713
+0.0664602
+0.0657121
+0.0650292
+0.0644028
+0.0638449
+0.0633579
+0.0629434
+0.0626029
+0.0623376
+0.0621484
+0.062036
+0.0617256
+0.0602067
+0.0587303
+0.0572996
+0.055813
+0.0543726
+0.0529835
+0.0516452
+0.0503651
+0.0491416
+0.0479824
+0.0468969
+0.0458904
+0.0449682
+0.0441356
+0.043391
+0.0427368
+0.0421803
+0.0417254
+0.0413654
+0.0411056
+0.0409297
+0.0408706
+0.0409196
+0.0410721
+0.0413403
+0.0413381
+0.0409134
+0.0405942
+0.0403783
+0.0402807
+0.0402818
+0.040399
+0.0406343
+0.0409833
+0.04142
+0.0419495
+0.0424831
+0.042351
+0.0423101
+0.0423544
+0.0424995
+0.0427513
+0.0429668
+0.0432719
+0.0436841
+0.0442012
+0.0447946
+0.045444
+0.0461183
+0.046879
+0.0476757
+0.0484987
+0.0493073
+0.0501257
+0.0510121
+0.051774
+0.0525631
+0.0534298
+0.0543579
+0.0553571
+0.0564237
+0.0575539
+0.0587442
+0.0599879
+0.0612847
+0.094296
+0.092787
+0.0913031
+0.0898481
+0.0884168
+0.087017
+0.0856495
+0.0841085
+0.0825966
+0.0811156
+0.0796673
+0.0782536
+0.0768763
+0.0755374
+0.074239
+0.0729834
+0.0717721
+0.0706064
+0.0694895
+0.0684247
+0.0674142
+0.0664605
+0.0655663
+0.0647338
+0.0639656
+0.0632617
+0.0626171
+0.0620432
+0.0615419
+0.0611151
+0.0607644
+0.060491
+0.060296
+0.0601801
+0.0601439
+0.0589919
+0.0574843
+0.0560218
+0.0546076
+0.0531403
+0.0517181
+0.0503512
+0.0490392
+0.0477817
+0.0465887
+0.0454699
+0.0444311
+0.043478
+0.0426162
+0.0418446
+0.0411688
+0.0405915
+0.040125
+0.0397636
+0.0395073
+0.0393245
+0.039263
+0.0393132
+0.0394719
+0.0397509
+0.0400375
+0.0395988
+0.0392739
+0.0390508
+0.0389498
+0.0389515
+0.0390728
+0.0393159
+0.0396714
+0.0401223
+0.0406687
+0.0413111
+0.041353
+0.0413111
+0.0413565
+0.041505
+0.0417628
+0.0419835
+0.0422956
+0.0427173
+0.043246
+0.0438523
+0.0445189
+0.0452035
+0.0459795
+0.0467709
+0.0476096
+0.0484144
+0.0492477
+0.0501496
+0.0510155
+0.0518162
+0.0526951
+0.0536359
+0.0546483
+0.0557285
+0.0568725
+0.0580767
+0.0593344
+0.0606452
+0.0929693
+0.0914384
+0.0899322
+0.0884546
+0.0870072
+0.0855913
+0.0842016
+0.0827994
+0.0812639
+0.0797581
+0.0782848
+0.0768456
+0.0754426
+0.0740778
+0.0727534
+0.0714716
+0.0702348
+0.0690453
+0.0679057
+0.0668185
+0.0657855
+0.0648083
+0.0638909
+0.0630363
+0.0622471
+0.0615186
+0.0608555
+0.0602648
+0.0597487
+0.059309
+0.0589475
+0.0586656
+0.0584645
+0.0583451
+0.0583077
+0.0578296
+0.056296
+0.0548018
+0.0533553
+0.0519539
+0.0505161
+0.0491157
+0.0477747
+0.0464853
+0.0452581
+0.0441056
+0.0430339
+0.0420491
+0.0411574
+0.0403579
+0.0396568
+0.0390611
+0.038576
+0.0382106
+0.0379536
+0.0377783
+0.0377143
+0.0377656
+0.0379308
+0.0382211
+0.0386336
+0.0383644
+0.0380321
+0.0378017
+0.0376973
+0.0377017
+0.037827
+0.0380781
+0.0384396
+0.0389048
+0.039468
+0.0401296
+0.0404296
+0.0404004
+0.0404527
+0.0406045
+0.040864
+0.0410934
+0.0414123
+0.0418429
+0.0423695
+0.0429895
+0.0436742
+0.0443774
+0.045154
+0.0459528
+0.0467939
+0.0476057
+0.0484529
+0.0493693
+0.0503409
+0.0511522
+0.0520423
+0.0529947
+0.0540191
+0.0551116
+0.0562683
+0.0574851
+0.0587555
+0.0600789
+0.0916757
+0.0901228
+0.0885943
+0.0870941
+0.0856236
+0.0841844
+0.0827782
+0.0814067
+0.0799679
+0.0784384
+0.0769398
+0.0754749
+0.074046
+0.072655
+0.0713042
+0.0699958
+0.0687325
+0.0675165
+0.0663507
+0.0652376
+0.0641799
+0.0631806
+0.0622423
+0.061368
+0.0605588
+0.0598049
+0.0591226
+0.0585145
+0.0579827
+0.0575296
+0.0571568
+0.0568661
+0.0566586
+0.0565353
+0.0564968
+0.0565431
+0.0551606
+0.0536436
+0.0521649
+0.0507307
+0.049352
+0.0479485
+0.0465739
+0.0452578
+0.0439964
+0.04281
+0.041705
+0.040688
+0.0397658
+0.0389378
+0.0382106
+0.037596
+0.0370918
+0.0367116
+0.0364593
+0.036297
+0.0362303
+0.0362843
+0.0364563
+0.0367582
+0.0371869
+0.037218
+0.0368757
+0.036638
+0.0365304
+0.0365406
+0.0366698
+0.0369287
+0.0372958
+0.0377751
+0.038355
+0.0390354
+0.0396025
+0.0395726
+0.0396495
+0.0398044
+0.0400459
+0.040303
+0.040628
+0.0410535
+0.041581
+0.0422124
+0.0429095
+0.0436255
+0.0444159
+0.0452147
+0.046061
+0.0468855
+0.0477454
+0.0486751
+0.0496651
+0.0505744
+0.0514746
+0.0524373
+0.0534724
+0.0545758
+0.0557436
+0.0569716
+0.0582532
+0.0595878
+0.0904167
+0.0888419
+0.0872909
+0.0857678
+0.0842742
+0.0828116
+0.0813817
+0.0799862
+0.078627
+0.0771568
+0.0756343
+0.0741437
+0.0726886
+0.0712711
+0.0698935
+0.0685583
+0.0672679
+0.066025
+0.0648323
+0.0636927
+0.062609
+0.0615842
+0.0606212
+0.0597231
+0.0588929
+0.0581233
+0.0574211
+0.0567947
+0.0562467
+0.0557794
+0.0553949
+0.0550948
+0.0548807
+0.0547534
+0.0547136
+0.0547615
+0.0540855
+0.0525388
+0.0510392
+0.0495741
+0.0481623
+0.0468105
+0.0454415
+0.0440976
+0.0428097
+0.0415895
+0.0404511
+0.0394018
+0.0384488
+0.0375917
+0.036838
+0.0362013
+0.0356804
+0.035285
+0.0350224
+0.0348757
+0.0348064
+0.0348747
+0.0350567
+0.0353705
+0.0358158
+0.0361682
+0.0358162
+0.0355714
+0.0354605
+0.0354739
+0.0356071
+0.0358716
+0.0362485
+0.0367415
+0.0373374
+0.0380361
+0.0388338
+0.0388509
+0.0389334
+0.0391051
+0.0393328
+0.0395971
+0.0399272
+0.0403583
+0.0408947
+0.0415364
+0.0422447
+0.0429719
+0.0437752
+0.0445636
+0.045422
+0.0462578
+0.0471292
+0.0480709
+0.049073
+0.0500859
+0.0509947
+0.0519663
+0.0530106
+0.0541234
+0.0553007
+0.0565384
+0.0578296
+0.0591737
+0.0891937
+0.0875969
+0.0860235
+0.0844776
+0.0829608
+0.0814746
+0.0800208
+0.0786011
+0.0772175
+0.075872
+0.0743685
+0.072854
+0.0713726
+0.0699284
+0.0685239
+0.0671614
+0.0658437
+0.0645734
+0.0633534
+0.0621866
+0.0610762
+0.0600252
+0.0590369
+0.0581143
+0.0572607
+0.0564767
+0.0557537
+0.0551083
+0.0545434
+0.0540614
+0.0536645
+0.0533548
+0.0531336
+0.0530021
+0.052961
+0.0530105
+0.0530761
+0.051499
+0.0499683
+0.0484882
+0.0470446
+0.0456598
+0.0443399
+0.0430038
+0.0416965
+0.0404468
+0.0392753
+0.0381937
+0.0372098
+0.036328
+0.0355475
+0.0348872
+0.0343508
+0.0339399
+0.0336669
+0.033535
+0.0334653
+0.0335364
+0.0337413
+0.0340673
+0.0345284
+0.0350955
+0.0348619
+0.0346107
+0.0344967
+0.0345105
+0.0346474
+0.0349191
+0.0353063
+0.0358122
+0.0364233
+0.0371392
+0.0379558
+0.0382412
+0.038325
+0.0384994
+0.0387307
+0.0389991
+0.0393342
+0.0397717
+0.040316
+0.0409665
+0.0416845
+0.0424215
+0.0432175
+0.044012
+0.044881
+0.0457267
+0.046608
+0.0475597
+0.0485726
+0.0496378
+0.0506052
+0.0515841
+0.052636
+0.0537566
+0.0549417
+0.0561873
+0.0574864
+0.0588383
+0.0880083
+0.0863896
+0.0847938
+0.083225
+0.0816849
+0.0801751
+0.0786973
+0.0772533
+0.0758452
+0.0744749
+0.0731445
+0.0716057
+0.0701001
+0.0686295
+0.0671978
+0.0658079
+0.0644625
+0.0631644
+0.0619166
+0.0607223
+0.0595846
+0.0585068
+0.0574923
+0.0565446
+0.0556669
+0.0548628
+0.0541236
+0.0534585
+0.052876
+0.0523786
+0.051969
+0.051649
+0.0514205
+0.0512846
+0.0512421
+0.0512933
+0.0514377
+0.050532
+0.048971
+0.0474598
+0.0460033
+0.044587
+0.0432344
+0.0419527
+0.0406562
+0.0393872
+0.0381832
+0.0370698
+0.0360552
+0.035148
+0.0343483
+0.0336646
+0.0331119
+0.0326865
+0.0324029
+0.0322658
+0.0322175
+0.0322914
+0.0325053
+0.0328435
+0.0333226
+0.0339123
+0.0340222
+0.033765
+0.0336481
+0.0336623
+0.0338026
+0.0340811
+0.0344776
+0.0349956
+0.0356207
+0.0363524
+0.0371862
+0.0377378
+0.0378228
+0.0380105
+0.0382296
+0.0385143
+0.0388558
+0.0392987
+0.0398494
+0.0405073
+0.0412333
+0.0419783
+0.0427608
+0.0435636
+0.0444415
+0.0452953
+0.0461801
+0.0471353
+0.0481668
+0.0492408
+0.0503074
+0.0512927
+0.0523504
+0.053477
+0.0546682
+0.0559199
+0.0572251
+0.058583
+0.086862
+0.0852215
+0.0836034
+0.0820119
+0.0804486
+0.0789151
+0.0774132
+0.0759449
+0.074512
+0.0731167
+0.0717611
+0.0704033
+0.0688714
+0.067376
+0.0659176
+0.0645001
+0.0631268
+0.0618007
+0.0605248
+0.0593025
+0.058137
+0.0570319
+0.0559907
+0.055017
+0.0541146
+0.0532871
+0.052529
+0.0518435
+0.0512426
+0.0507293
+0.0503062
+0.0499756
+0.0497394
+0.0495989
+0.049555
+0.0496078
+0.0497572
+0.0496428
+0.048053
+0.046512
+0.0450249
+0.0435971
+0.0422138
+0.0409
+0.0396639
+0.0384151
+0.0371883
+0.0360441
+0.0349997
+0.0340645
+0.0332474
+0.0325436
+0.0319716
+0.0315336
+0.0312396
+0.0310974
+0.0310742
+0.0311508
+0.0313725
+0.0317228
+0.0322186
+0.0328319
+0.0333055
+0.0330431
+0.0329237
+0.0329382
+0.0330815
+0.0333661
+0.033771
+0.0342996
+0.0349372
+0.0356829
+0.036532
+0.037301
+0.0373622
+0.0375266
+0.0378173
+0.0381272
+0.0384941
+0.0389433
+0.0394989
+0.0401624
+0.0408926
+0.0416458
+0.0424125
+0.0432218
+0.0441065
+0.0449667
+0.0458475
+0.0468095
+0.0478525
+0.0489386
+0.0500226
+0.0510895
+0.0521554
+0.0532862
+0.0544815
+0.0557374
+0.0570467
+0.0584089
+0.0857563
+0.0840943
+0.082454
+0.0808399
+0.0792535
+0.0776964
+0.0761705
+0.0746777
+0.07322
+0.0717996
+0.0704187
+0.0690797
+0.0676914
+0.0661692
+0.0646836
+0.0632385
+0.0618372
+0.0604828
+0.0591785
+0.0579278
+0.0567341
+0.0556011
+0.0545326
+0.0535324
+0.0526046
+0.0517528
+0.050972
+0.0502653
+0.0496453
+0.0491152
+0.0486781
+0.0483364
+0.0480921
+0.0479468
+0.0479014
+0.047956
+0.0481105
+0.0479615
+0.0472188
+0.0456497
+0.0441335
+0.042676
+0.0412833
+0.0399399
+0.0386731
+0.0374915
+0.0362984
+0.0351252
+0.0340527
+0.0330907
+0.032249
+0.0315352
+0.0309445
+0.0304918
+0.0301876
+0.0300404
+0.0300165
+0.0301258
+0.0303557
+0.0307176
+0.0312294
+0.0318617
+0.0326223
+0.0324533
+0.0323317
+0.0323465
+0.0324924
+0.0327821
+0.0331942
+0.0337318
+0.0343799
+0.0351374
+0.0359994
+0.0364754
+0.036538
+0.0367061
+0.0370033
+0.0374265
+0.0379717
+0.0386335
+0.0392678
+0.0399137
+0.0406467
+0.0414267
+0.0421753
+0.0429891
+0.0438652
+0.0447275
+0.0456179
+0.0465846
+0.0476325
+0.0487216
+0.0498217
+0.0509657
+0.0520445
+0.0531849
+0.0543825
+0.0556406
+0.0569521
+0.0583165
+0.0846929
+0.0830095
+0.0813475
+0.0797109
+0.0781015
+0.076521
+0.0749712
+0.0734541
+0.0719716
+0.070526
+0.0691197
+0.067755
+0.0664345
+0.0650139
+0.0635013
+0.0620286
+0.0605994
+0.0592167
+0.0578839
+0.0566045
+0.0553823
+0.054221
+0.0531248
+0.0520976
+0.0511438
+0.0502673
+0.049463
+0.0487344
+0.0480947
+0.0475473
+0.0470956
+0.0467424
+0.0464897
+0.0463394
+0.0462924
+0.0463489
+0.0465088
+0.0463104
+0.0461363
+0.0448778
+0.0433346
+0.0418493
+0.0404281
+0.0390782
+0.0377835
+0.0365732
+0.0354571
+0.0343218
+0.0332233
+0.0322366
+0.031372
+0.0306399
+0.0300423
+0.0295758
+0.0292621
+0.0291102
+0.0290856
+0.029199
+0.0294455
+0.0298397
+0.0303663
+0.0310103
+0.0317912
+0.0320029
+0.0318796
+0.0318946
+0.0320426
+0.0323363
+0.0327539
+0.0332987
+0.0339551
+0.0347219
+0.0355939
+0.0357652
+0.0358289
+0.0360004
+0.0363033
+0.0367347
+0.0372899
+0.0379578
+0.0387199
+0.0395888
+0.0405179
+0.0413184
+0.0420511
+0.0428672
+0.0437245
+0.0445896
+0.0454921
+0.0464619
+0.0475039
+0.0485949
+0.0497165
+0.0508649
+0.0520153
+0.0531632
+0.0543646
+0.0556221
+0.056934
+0.0582988
+0.0836733
+0.081969
+0.0802854
+0.0786268
+0.0769947
+0.075391
+0.0738175
+0.0722761
+0.070769
+0.0692983
+0.0678666
+0.0664761
+0.0651297
+0.0638302
+0.0623735
+0.0608736
+0.0594166
+0.0580057
+0.0566444
+0.0553364
+0.0540855
+0.0528958
+0.0517715
+0.0507169
+0.0497366
+0.0488348
+0.0480066
+0.0472555
+0.0465955
+0.0460303
+0.0455636
+0.0451983
+0.044937
+0.0447815
+0.0447328
+0.0447914
+0.0449567
+0.0447056
+0.0445253
+0.0441816
+0.0426272
+0.0411228
+0.0396757
+0.0382992
+0.0370013
+0.0357656
+0.0346235
+0.0335856
+0.0325206
+0.0315119
+0.0306268
+0.0298765
+0.0292712
+0.0287977
+0.0284754
+0.0283193
+0.028294
+0.0284107
+0.0286657
+0.0290803
+0.0296103
+0.030269
+0.0310686
+0.0316937
+0.0315734
+0.0315885
+0.0317379
+0.0320344
+0.0324559
+0.0330056
+0.0336677
+0.0344409
+0.0352486
+0.0351772
+0.0352408
+0.0354157
+0.0357236
+0.0361618
+0.0367204
+0.0373795
+0.0381532
+0.0390347
+0.0400168
+0.0410923
+0.0420312
+0.0428503
+0.0436934
+0.0445591
+0.0454632
+0.0464356
+0.0474753
+0.0485669
+0.0497078
+0.0508547
+0.052035
+0.0532248
+0.0544249
+0.055681
+0.0569916
+0.058355
+0.0826992
+0.0809744
+0.0792697
+0.0775893
+0.075935
+0.0743084
+0.0727115
+0.0711461
+0.0696145
+0.068119
+0.0666619
+0.0652458
+0.0638735
+0.0625478
+0.0612717
+0.0597765
+0.0582921
+0.0568533
+0.0554637
+0.0541272
+0.0528477
+0.0516295
+0.050477
+0.0493948
+0.0483877
+0.0474603
+0.0466076
+0.0458337
+0.0451528
+0.0445694
+0.0440872
+0.0437096
+0.0434394
+0.0432784
+0.0432281
+0.0432887
+0.0434491
+0.0431524
+0.0429656
+0.0428864
+0.0420065
+0.0404871
+0.0390305
+0.0376304
+0.0363086
+0.0350739
+0.0339112
+0.0328507
+0.0319057
+0.0309103
+0.0300075
+0.0292412
+0.0286225
+0.0281413
+0.0278114
+0.0276516
+0.0276536
+0.0277731
+0.0280359
+0.0284596
+0.028999
+0.0296714
+0.0304866
+0.0312118
+0.031413
+0.0314324
+0.0315826
+0.0318805
+0.0323041
+0.0328563
+0.0335213
+0.0342859
+0.0347901
+0.0347165
+0.0347569
+0.0349335
+0.0352457
+0.0356898
+0.0362549
+0.0369223
+0.0377054
+0.0385971
+0.0395901
+0.0406769
+0.0418502
+0.0429304
+0.043772
+0.0446362
+0.0455386
+0.0465082
+0.0475476
+0.0486376
+0.0497843
+0.0509231
+0.0521188
+0.0533348
+0.0545731
+0.0558259
+0.0571332
+0.0584933
+0.0817722
+0.0800274
+0.078302
+0.0766005
+0.0749243
+0.0732753
+0.0716553
+0.0700664
+0.0685107
+0.0669905
+0.0655083
+0.0640667
+0.0626686
+0.0613168
+0.0600147
+0.0587294
+0.0572179
+0.0557515
+0.0543338
+0.0529689
+0.0516608
+0.050414
+0.0492331
+0.0481231
+0.0470888
+0.0461355
+0.0452682
+0.0444713
+0.0437692
+0.0431671
+0.0426691
+0.0422788
+0.0419993
+0.0418329
+0.0417808
+0.0418435
+0.0419638
+0.0416566
+0.041463
+0.0413844
+0.0414007
+0.0399534
+0.0384768
+0.0370559
+0.0357128
+0.0344568
+0.0332976
+0.0322204
+0.0312563
+0.0304197
+0.0295358
+0.028757
+0.0281277
+0.0276378
+0.0273018
+0.027139
+0.0271525
+0.0272927
+0.0275546
+0.027986
+0.0285152
+0.0291987
+0.0299124
+0.0304932
+0.0311638
+0.0314287
+0.0315789
+0.0318768
+0.0323004
+0.0328527
+0.0335154
+0.0342553
+0.034444
+0.0343652
+0.0344046
+0.034583
+0.0348983
+0.0353467
+0.0359172
+0.0365909
+0.0373809
+0.0382801
+0.0392811
+0.0403762
+0.0415581
+0.0428173
+0.0439598
+0.0448203
+0.0457186
+0.0466837
+0.0477205
+0.0488066
+0.0499495
+0.0510847
+0.0522869
+0.0535063
+0.0547791
+0.0560561
+0.0573581
+0.058713
+0.0808939
+0.0791298
+0.0773844
+0.0756622
+0.0739648
+0.0722939
+0.0706514
+0.0690394
+0.06746
+0.0659155
+0.0644086
+0.0629418
+0.0615181
+0.0601406
+0.0588123
+0.0575369
+0.0562056
+0.054712
+0.0532667
+0.0518737
+0.0505372
+0.049262
+0.0480529
+0.0469149
+0.0458534
+0.0448738
+0.0439816
+0.0431755
+0.0424521
+0.041831
+0.0413169
+0.0409137
+0.0406249
+0.0404527
+0.0403989
+0.0404637
+0.0405425
+0.0402244
+0.0400239
+0.0399427
+0.0399641
+0.0394884
+0.0380412
+0.0366033
+0.035243
+0.0339696
+0.0327933
+0.0317247
+0.0307486
+0.0298978
+0.0291869
+0.0284338
+0.0277971
+0.0273013
+0.0269611
+0.0267963
+0.02681
+0.0269175
+0.027183
+0.0276202
+0.0280949
+0.0287237
+0.0293182
+0.0299106
+0.030609
+0.031274
+0.0317267
+0.0320233
+0.032445
+0.0329949
+0.0336272
+0.0343647
+0.0342289
+0.0341496
+0.0341893
+0.0343688
+0.034686
+0.0351372
+0.035711
+0.0363885
+0.0371828
+0.0380867
+0.0390927
+0.0401929
+0.04138
+0.0426445
+0.0439688
+0.0451103
+0.046002
+0.0469608
+0.0479929
+0.0490729
+0.0501999
+0.0513393
+0.0525357
+0.0537666
+0.0550334
+0.0563569
+0.0576653
+0.0590132
+0.0800659
+0.0782831
+0.0765184
+0.0747763
+0.0730583
+0.0713662
+0.0697019
+0.0680673
+0.0664649
+0.0648968
+0.0633656
+0.0618741
+0.0604253
+0.0590222
+0.0576682
+0.0563668
+0.0551219
+0.0537418
+0.0522697
+0.0508493
+0.0494852
+0.0481822
+0.0469452
+0.0457797
+0.0446913
+0.0436856
+0.0427687
+0.0419462
+0.0412094
+0.0405693
+0.0400389
+0.0396228
+0.0393244
+0.0391466
+0.0390909
+0.0391579
+0.0391889
+0.0388598
+0.0386522
+0.0385681
+0.0385936
+0.0387339
+0.0376013
+0.0362086
+0.0348979
+0.0336184
+0.0324293
+0.0313484
+0.0303872
+0.0295295
+0.0288096
+0.0282416
+0.0276128
+0.0271342
+0.0267958
+0.0266299
+0.0266279
+0.0267172
+0.0269847
+0.0272951
+0.0277697
+0.0284057
+0.0288784
+0.0294796
+0.030188
+0.0308874
+0.031662
+0.0323093
+0.0327359
+0.0332768
+0.0338805
+0.0343668
+0.0341533
+0.0340738
+0.0341135
+0.0342934
+0.0346114
+0.0350635
+0.0356385
+0.0363173
+0.0371132
+0.0380188
+0.0390265
+0.0401285
+0.0413175
+0.0425709
+0.043896
+0.0452884
+0.0463868
+0.0473378
+0.0483631
+0.049435
+0.0505441
+0.0516856
+0.0528742
+0.0541144
+0.0553732
+0.0566888
+0.0580377
+0.0593772
+0.0792812
+0.0774816
+0.0757026
+0.0739447
+0.0722069
+0.0704944
+0.068809
+0.0671528
+0.0655279
+0.0639368
+0.0623821
+0.0608665
+0.0593931
+0.057965
+0.0565858
+0.0552589
+0.0539884
+0.0527783
+0.0513468
+0.0499002
+0.0485094
+0.0471794
+0.0459154
+0.0447231
+0.0436083
+0.0425771
+0.0416357
+0.0407904
+0.0400471
+0.0393886
+0.0388421
+0.038413
+0.0381052
+0.0379216
+0.0378641
+0.0379333
+0.0378977
+0.0375572
+0.0373424
+0.0372553
+0.037297
+0.0374467
+0.0372528
+0.0358528
+0.0345336
+0.0333014
+0.032162
+0.0311221
+0.0301537
+0.0293173
+0.0285956
+0.0280233
+0.0275921
+0.0271131
+0.0268052
+0.0266432
+0.0265834
+0.026629
+0.0267936
+0.0271347
+0.0276149
+0.0281388
+0.0286002
+0.0292071
+0.0299219
+0.0306529
+0.0314212
+0.032303
+0.0329796
+0.0334437
+0.0340089
+0.0344311
+0.034218
+0.0341387
+0.0341784
+0.0343579
+0.0346752
+0.0351266
+0.0357006
+0.0363782
+0.0371728
+0.0380769
+0.0390831
+0.0401806
+0.0413505
+0.042601
+0.0439252
+0.0453167
+0.0467694
+0.0478123
+0.0488288
+0.0498907
+0.0509802
+0.0521218
+0.0533007
+0.0545387
+0.055797
+0.0571028
+0.0584478
+0.0598171
+0.0785493
+0.0767326
+0.0749358
+0.0731605
+0.0714082
+0.0696806
+0.067975
+0.0662979
+0.0646516
+0.0630384
+0.061461
+0.0599221
+0.0584249
+0.0569725
+0.0555686
+0.0542169
+0.0529214
+0.0516863
+0.0505021
+0.0490306
+0.0476144
+0.0462587
+0.0449688
+0.0437507
+0.0426105
+0.0415545
+0.0405894
+0.0397218
+0.0389561
+0.0382784
+0.0377158
+0.0372737
+0.0369564
+0.0367672
+0.0367079
+0.0367792
+0.0366918
+0.0363401
+0.036118
+0.036028
+0.0360711
+0.0362462
+0.0365272
+0.0356073
+0.0342801
+0.0330449
+0.031904
+0.0308648
+0.0299501
+0.0291548
+0.0284906
+0.0279753
+0.0275647
+0.0272686
+0.0269624
+0.0267178
+0.0265923
+0.0266134
+0.0267782
+0.0271194
+0.0276116
+0.0280249
+0.0284881
+0.0290973
+0.0298148
+0.0305663
+0.0313192
+0.0322039
+0.0331402
+0.0336251
+0.0342099
+0.0346342
+0.0344223
+0.0343435
+0.0343829
+0.0345614
+0.0348769
+0.0353256
+0.0358873
+0.0365615
+0.0373521
+0.038252
+0.0392533
+0.0403318
+0.0414974
+0.0427436
+0.0440635
+0.0454508
+0.0468993
+0.0483737
+0.0493729
+0.0504212
+0.0515059
+0.0526412
+0.053813
+0.0550394
+0.0562914
+0.0575854
+0.0589299
+0.0603093
+0.0778722
+0.0760392
+0.0742257
+0.072433
+0.0706627
+0.0689166
+0.0671965
+0.0655046
+0.0638385
+0.0622042
+0.0606051
+0.0590439
+0.0575238
+0.0560481
+0.0546205
+0.0532447
+0.0519249
+0.0506655
+0.0494711
+0.0482332
+0.0467928
+0.0454124
+0.0440977
+0.0428548
+0.0416899
+0.0406099
+0.0396217
+0.0387323
+0.0379487
+0.037264
+0.0366859
+0.0362313
+0.0359047
+0.0357099
+0.0356488
+0.0357223
+0.0355802
+0.0352173
+0.0349881
+0.0348952
+0.0349397
+0.035121
+0.0354266
+0.0354664
+0.0341423
+0.0329109
+0.0317793
+0.0307359
+0.0298173
+0.0290351
+0.0283836
+0.0278438
+0.0273973
+0.027119
+0.0269849
+0.0268815
+0.0267567
+0.0267777
+0.0269414
+0.0272806
+0.027714
+0.0280551
+0.0285442
+0.0291523
+0.0298684
+0.0306187
+0.0313703
+0.0322535
+0.0331884
+0.0338197
+0.0343312
+0.0347725
+0.0347545
+0.034665
+0.0347041
+0.0348809
+0.0351935
+0.0356383
+0.0361893
+0.0368579
+0.0376423
+0.0385355
+0.0395296
+0.0406007
+0.0417588
+0.0429974
+0.0443098
+0.0456896
+0.0471308
+0.048628
+0.0500029
+0.0510383
+0.0521184
+0.0532407
+0.0544087
+0.0556202
+0.0568612
+0.0581424
+0.0594768
+0.0608502
+0.0772513
+0.0754032
+0.073574
+0.071765
+0.0699778
+0.0682142
+0.066476
+0.0647652
+0.0630841
+0.0614352
+0.0598172
+0.0582349
+0.0566931
+0.0551953
+0.0537449
+0.0523462
+0.0510031
+0.0497204
+0.0485027
+0.0473517
+0.0460508
+0.0446475
+0.0433096
+0.0420434
+0.0408554
+0.0397527
+0.0387427
+0.0378326
+0.03703
+0.0363416
+0.0357501
+0.0352834
+0.034948
+0.0347478
+0.034685
+0.0347605
+0.0345717
+0.0341981
+0.0339621
+0.0338663
+0.0339122
+0.0340989
+0.0344136
+0.0348475
+0.0340701
+0.0328373
+0.0317072
+0.0306756
+0.0297551
+0.0289712
+0.028305
+0.0277734
+0.0273258
+0.0270488
+0.0269213
+0.0268878
+0.0269488
+0.0271056
+0.0272802
+0.0276035
+0.0279107
+0.0282494
+0.0287501
+0.029371
+0.0300819
+0.030827
+0.0315736
+0.0324513
+0.0333807
+0.0340629
+0.0345708
+0.0349827
+0.0348584
+0.0348128
+0.0348983
+0.0351006
+0.0354375
+0.0359051
+0.0364985
+0.0372019
+0.0380133
+0.0389218
+0.0399243
+0.0409851
+0.0421327
+0.0433606
+0.0446623
+0.0460315
+0.0474624
+0.0489495
+0.0504878
+0.0517408
+0.05281
+0.0539225
+0.0550852
+0.0562757
+0.0575087
+0.0587759
+0.0600962
+0.0614623
+0.0766871
+0.0748255
+0.0729822
+0.0711582
+0.0693554
+0.0675756
+0.0658205
+0.0640922
+0.062393
+0.0607253
+0.0590917
+0.0574952
+0.055936
+0.0544173
+0.0529456
+0.0515251
+0.0501601
+0.0488553
+0.0476126
+0.0464304
+0.0453233
+0.0439785
+0.0426196
+0.0413322
+0.0401232
+0.0389999
+0.0379698
+0.0370408
+0.0362206
+0.0355164
+0.0349106
+0.0344325
+0.0340887
+0.0338834
+0.0338191
+0.0338965
+0.0336757
+0.0332921
+0.0330496
+0.0329512
+0.0329983
+0.0331902
+0.0335135
+0.0339588
+0.0340718
+0.0328562
+0.0317263
+0.0307114
+0.0298195
+0.0290372
+0.0283726
+0.0278624
+0.0274297
+0.0271537
+0.0270267
+0.0270277
+0.0271099
+0.0273124
+0.0276151
+0.0279398
+0.0282762
+0.0286107
+0.0291051
+0.0297236
+0.0304519
+0.0311881
+0.0319264
+0.0327946
+0.0337145
+0.034444
+0.0349464
+0.0352805
+0.035099
+0.0350537
+0.0351386
+0.0353395
+0.0356742
+0.0361329
+0.0367079
+0.0374026
+0.0382097
+0.0391137
+0.040117
+0.0412125
+0.0423929
+0.0436514
+0.0449815
+0.0463731
+0.0478094
+0.0493013
+0.0508438
+0.0524325
+0.0535789
+0.0546821
+0.0558287
+0.0570078
+0.0582316
+0.0594833
+0.0607883
+0.0621392
+0.07618
+0.0743057
+0.0724492
+0.0706118
+0.0687951
+0.0670007
+0.0652306
+0.0634867
+0.0617713
+0.0600868
+0.0584355
+0.0568206
+0.0552453
+0.0537132
+0.052226
+0.0507854
+0.0494
+0.0480646
+0.0467914
+0.0455878
+0.0444597
+0.0434099
+0.0420326
+0.0407267
+0.0394991
+0.0383575
+0.0373097
+0.0363638
+0.035528
+0.0348096
+0.034191
+0.0337027
+0.0333515
+0.0331416
+0.0330758
+0.0331549
+0.0329015
+0.0325087
+0.0322603
+0.0321595
+0.0322077
+0.0324044
+0.0327354
+0.0331911
+0.0337831
+0.0329896
+0.0318645
+0.0308541
+0.02997
+0.0292238
+0.0285882
+0.0280819
+0.0276961
+0.0274337
+0.027308
+0.027343
+0.0274243
+0.0276792
+0.0280009
+0.0284414
+0.0287757
+0.0291326
+0.0296183
+0.0302263
+0.0309699
+0.0316969
+0.0324236
+0.0332788
+0.0341857
+0.0349585
+0.0354536
+0.0356531
+0.0354734
+0.0354286
+0.0355035
+0.0357024
+0.0360259
+0.0364713
+0.037041
+0.0377296
+0.0385299
+0.0394265
+0.0404221
+0.0415095
+0.0426817
+0.043932
+0.0452538
+0.0466372
+0.0480657
+0.0495498
+0.0510848
+0.0526663
+0.05429
+0.0555116
+0.0566414
+0.0578098
+0.0590245
+0.0602621
+0.0615506
+0.0628851
+0.0757329
+0.0738473
+0.0719789
+0.0701292
+0.0682996
+0.0664919
+0.0647079
+0.0629495
+0.0612191
+0.0595189
+0.0578518
+0.0562206
+0.0546286
+0.0530792
+0.0515764
+0.0501241
+0.0487099
+0.0473527
+0.0460597
+0.0448366
+0.0436891
+0.0426234
+0.041553
+0.0402315
+0.0389883
+0.0378313
+0.0367685
+0.0358083
+0.0349592
+0.0342287
+0.0335991
+0.0331021
+0.0327444
+0.0325306
+0.0324636
+0.0325442
+0.0322577
+0.031857
+0.0316034
+0.0315005
+0.0315498
+0.0317505
+0.0320882
+0.032553
+0.0331564
+0.033267
+0.0321516
+0.0311505
+0.0302751
+0.0295366
+0.028924
+0.0284237
+0.0280757
+0.0278395
+0.0277599
+0.0278008
+0.0279076
+0.0281581
+0.0284853
+0.0287741
+0.0292246
+0.0297492
+0.0302817
+0.0308766
+0.0315973
+0.0323464
+0.0330588
+0.033898
+0.0344264
+0.0350581
+0.0358129
+0.0361059
+0.035976
+0.035906
+0.0359696
+0.0361659
+0.036493
+0.0369367
+0.0374994
+0.0381797
+0.0389708
+0.0398575
+0.0408425
+0.041919
+0.0430801
+0.0443191
+0.0456297
+0.0470021
+0.0484198
+0.0498934
+0.0514182
+0.0529896
+0.0546038
+0.0562569
+0.0575261
+0.0586769
+0.0598791
+0.0611096
+0.0623806
+0.0636977
+0.0753468
+0.0734513
+0.0715726
+0.0697121
+0.0678713
+0.0660519
+0.0642556
+0.0624845
+0.0607408
+0.0590269
+0.0573455
+0.0556995
+0.0540921
+0.052527
+0.0510079
+0.0495389
+0.0481074
+0.0467327
+0.0454221
+0.0441813
+0.0430163
+0.0419335
+0.0409394
+0.0398507
+0.0385953
+0.0374261
+0.0363514
+0.0353799
+0.0345159
+0.0337671
+0.0331418
+0.0326378
+0.032275
+0.032058
+0.03199
+0.0320718
+0.0317268
+0.0313451
+0.0310874
+0.0309828
+0.0310328
+0.0312368
+0.0315801
+0.0320523
+0.0326649
+0.0334101
+0.0325838
+0.0315964
+0.0307337
+0.0300065
+0.0294196
+0.0289278
+0.0285959
+0.0283868
+0.0283232
+0.0283864
+0.0285512
+0.0286793
+0.0288278
+0.0291131
+0.0295586
+0.0301569
+0.0307312
+0.0314045
+0.0320407
+0.032674
+0.0332959
+0.033831
+0.0343341
+0.0349675
+0.0357242
+0.0365636
+0.0365676
+0.0364987
+0.0365612
+0.0367544
+0.0370762
+0.0375234
+0.0380785
+0.0387486
+0.0395283
+0.0404028
+0.0413748
+0.0424378
+0.0435851
+0.0448102
+0.0460975
+0.0474469
+0.0488572
+0.0503235
+0.0518409
+0.053401
+0.0550031
+0.0566446
+0.0583222
+0.0596119
+0.0607956
+0.0620145
+0.0632755
+0.0645744
+0.0750228
+0.0731188
+0.0712314
+0.0693617
+0.0675114
+0.065682
+0.0638753
+0.0620934
+0.0603384
+0.0586127
+0.0569191
+0.0552604
+0.0536398
+0.0520611
+0.050528
+0.0490446
+0.0475982
+0.0462083
+0.0448824
+0.0436263
+0.0424461
+0.0413483
+0.0403398
+0.0394273
+0.0383236
+0.0371424
+0.0360505
+0.0350616
+0.0341847
+0.0334285
+0.0328015
+0.0323103
+0.0319438
+0.0317246
+0.0316559
+0.0317386
+0.0313366
+0.030954
+0.0307164
+0.0306105
+0.0306612
+0.0308677
+0.0312177
+0.0316953
+0.0323147
+0.0330624
+0.0331488
+0.0321787
+0.0313321
+0.0306191
+0.0300492
+0.029586
+0.0292615
+0.0290856
+0.0290271
+0.0291207
+0.0291982
+0.0291844
+0.0293303
+0.0296108
+0.0300489
+0.0306377
+0.0312902
+0.0316908
+0.0322355
+0.0328651
+0.0334834
+0.0338775
+0.0343815
+0.035014
+0.0357698
+0.0366411
+0.0372786
+0.0372111
+0.0372724
+0.0374619
+0.0377777
+0.0382167
+0.0387729
+0.0394278
+0.0401852
+0.0410456
+0.0420029
+0.0430503
+0.0441817
+0.0453856
+0.0466528
+0.0479866
+0.0493815
+0.0508327
+0.0523353
+0.0538851
+0.0554781
+0.0571108
+0.0587779
+0.0604757
+0.0617762
+0.0629762
+0.0642247
+0.0655127
+0.0745491
+0.0727135
+0.070898
+0.0690791
+0.067221
+0.0653834
+0.0635683
+0.0617775
+0.0600133
+0.058278
+0.0565743
+0.0549052
+0.0532739
+0.0516839
+0.0501393
+0.048644
+0.0471853
+0.0457829
+0.0444443
+0.0431754
+0.0419825
+0.0408723
+0.0398517
+0.0389278
+0.0381075
+0.0369649
+0.0358676
+0.0348735
+0.0339917
+0.0332312
+0.0326004
+0.0321061
+0.0317372
+0.0315166
+0.0314474
+0.0315307
+0.0310962
+0.0307106
+0.0304711
+0.0303644
+0.0304155
+0.0306236
+0.0309813
+0.0314625
+0.0320864
+0.0328346
+0.0336912
+0.0328896
+0.0320617
+0.0313652
+0.0308092
+0.0303746
+0.0300724
+0.0299011
+0.0298631
+0.0298533
+0.0298034
+0.0298422
+0.0299849
+0.0302593
+0.0306881
+0.0311129
+0.0315401
+0.0320378
+0.0325768
+0.0331999
+0.0336648
+0.0340392
+0.0345487
+0.0351815
+0.0359328
+0.0367993
+0.0377731
+0.0380364
+0.0380964
+0.0382819
+0.038591
+0.0390208
+0.0395595
+0.0401952
+0.0409384
+0.0417834
+0.042724
+0.0437543
+0.0448679
+0.0460538
+0.0473031
+0.0486191
+0.0499964
+0.0514302
+0.0529159
+0.0544491
+0.0560261
+0.0576433
+0.0592972
+0.0609851
+0.062704
+0.0639984
+0.0652273
+0.0665057
+0.0740774
+0.0722332
+0.0704089
+0.0686025
+0.0668139
+0.0650499
+0.0633125
+0.0615381
+0.0597668
+0.0580241
+0.0563127
+0.0546356
+0.052996
+0.0513974
+0.0498439
+0.0483395
+0.0468712
+0.0454591
+0.0441107
+0.0428319
+0.0416292
+0.0405094
+0.0394794
+0.0385465
+0.037718
+0.0369167
+0.0358179
+0.0348224
+0.0339393
+0.0331776
+0.0325457
+0.0320507
+0.0316812
+0.0314601
+0.0313908
+0.0314742
+0.031009
+0.0306224
+0.0303822
+0.0302752
+0.0303264
+0.0305351
+0.0308939
+0.0313764
+0.0320019
+0.0327521
+0.0336108
+0.0337279
+0.0329211
+0.0322433
+0.0317026
+0.0312805
+0.0310037
+0.030851
+0.0306657
+0.03046
+0.0304111
+0.0305198
+0.0307762
+0.0309238
+0.0311677
+0.0314419
+0.0318647
+0.0324203
+0.03306
+0.0336375
+0.0339691
+0.0343402
+0.0348453
+0.0354728
+0.036218
+0.0370778
+0.0380445
+0.038957
+0.0390156
+0.0391967
+0.0394986
+0.0399187
+0.0404433
+0.0410653
+0.041793
+0.042621
+0.0435436
+0.0445549
+0.045649
+0.0468152
+0.0480447
+0.0493408
+0.0506986
+0.052113
+0.0535798
+0.0550946
+0.0566536
+0.0582533
+0.0598904
+0.061562
+0.0632653
+0.0649977
+0.0662872
+0.0675455
+0.073666
+0.0718112
+0.0699759
+0.068158
+0.0663574
+0.0645809
+0.0628306
+0.0611087
+0.0594176
+0.0577602
+0.0561355
+0.0544529
+0.0528076
+0.0512032
+0.0496436
+0.0481329
+0.046658
+0.0452393
+0.0438841
+0.0425985
+0.041389
+0.0402625
+0.039226
+0.038287
+0.0374527
+0.0367303
+0.0359022
+0.0349091
+0.0340282
+0.0332685
+0.0326384
+0.0321448
+0.0317763
+0.031556
+0.0314869
+0.03157
+0.0310765
+0.0306907
+0.030451
+0.0303442
+0.0303954
+0.0306036
+0.0309616
+0.0314431
+0.0320673
+0.032816
+0.033673
+0.0346476
+0.0339006
+0.0332427
+0.0327185
+0.0323097
+0.0320418
+0.0317604
+0.0314094
+0.0312086
+0.0311383
+0.0311552
+0.0312329
+0.0313784
+0.031636
+0.031903
+0.032314
+0.0328541
+0.0335186
+0.0340955
+0.0344104
+0.0347768
+0.0352756
+0.0358957
+0.0366323
+0.0374826
+0.0384391
+0.0394941
+0.0400314
+0.040208
+0.0405024
+0.0409122
+0.0414241
+0.0420316
+0.0427429
+0.0435529
+0.0444561
+0.0454471
+0.0465202
+0.0476651
+0.0488732
+0.050148
+0.0514844
+0.0528779
+0.054324
+0.0558186
+0.0573579
+0.0589385
+0.0605571
+0.0622108
+0.0638967
+0.0656125
+0.0673559
+0.0686395
+0.0733177
+0.0714539
+0.0696091
+0.0677814
+0.0659705
+0.0641833
+0.0624218
+0.0606883
+0.0589853
+0.0573153
+0.0556815
+0.054087
+0.0525356
+0.051031
+0.0495384
+0.0480088
+0.0465306
+0.0451104
+0.0437538
+0.042467
+0.0412564
+0.0401289
+0.0390918
+0.0381492
+0.0373115
+0.036586
+0.0359795
+0.0351324
+0.0342572
+0.0335027
+0.0328771
+0.0323871
+0.0320215
+0.0318028
+0.0317343
+0.0318134
+0.0312836
+0.0309004
+0.0306692
+0.0305706
+0.0306213
+0.030828
+0.0311834
+0.0316615
+0.0322815
+0.0330254
+0.0338771
+0.034846
+0.0349899
+0.0343529
+0.0338459
+0.0334327
+0.0328915
+0.0324892
+0.0321633
+0.03188
+0.0317457
+0.0317623
+0.0318341
+0.0319769
+0.0322284
+0.0324919
+0.0328955
+0.0334262
+0.0340796
+0.0346741
+0.0349836
+0.035344
+0.035835
+0.0364455
+0.0371712
+0.0380095
+0.0389531
+0.0399945
+0.0408856
+0.0413064
+0.0415974
+0.0419965
+0.0424954
+0.0430878
+0.0437819
+0.044573
+0.045456
+0.0464256
+0.0474766
+0.048599
+0.0497844
+0.0510364
+0.0523502
+0.0537212
+0.0551452
+0.0566181
+0.0581363
+0.0596963
+0.0612949
+0.0629292
+0.0645964
+0.0662941
+0.0680199
+0.0697719
+0.0730335
+0.0711623
+0.0693097
+0.0674738
+0.0656545
+0.0638585
+0.0620878
+0.0603447
+0.0586316
+0.0569513
+0.0553067
+0.0537011
+0.0521382
+0.0506218
+0.0491563
+0.0477464
+0.0463971
+0.0450815
+0.043724
+0.0424363
+0.0412248
+0.0400965
+0.0390585
+0.038115
+0.0372766
+0.0365504
+0.0359432
+0.0354612
+0.0346236
+0.0338773
+0.0332587
+0.0327744
+0.0324132
+0.0321972
+0.0321294
+0.03215
+0.0316258
+0.0312468
+0.0310182
+0.030932
+0.0309822
+0.0311865
+0.0315284
+0.0320013
+0.0326149
+0.0333613
+0.0342205
+0.0351799
+0.0361793
+0.0355594
+0.0347775
+0.0341186
+0.0335899
+0.0331976
+0.0328937
+0.0326168
+0.0324855
+0.0325017
+0.0325719
+0.0327114
+0.0329561
+0.0332149
+0.0336099
+0.0341296
+0.0347697
+0.0353791
+0.0356823
+0.0360358
+0.0365174
+0.0371167
+0.0378295
+0.0386535
+0.0395818
+0.0406071
+0.0417223
+0.0422297
+0.0427343
+0.0431648
+0.0436504
+0.0442273
+0.0449038
+0.0456755
+0.0465376
+0.0474851
+0.0485132
+0.0496121
+0.0507739
+0.0520021
+0.053292
+0.0546394
+0.0560401
+0.0574901
+0.0589858
+0.0605239
+0.0621012
+0.0637148
+0.065362
+0.0670403
+0.0687474
+0.0704813
+0.0728142
+0.0709371
+0.0690785
+0.0672363
+0.0654103
+0.0636074
+0.0618295
+0.060079
+0.0583581
+0.0566697
+0.0550167
+0.0534024
+0.0518304
+0.0503048
+0.0488297
+0.0474101
+0.046051
+0.0447578
+0.0435365
+0.0423933
+0.0413095
+0.0401836
+0.0391479
+0.0382066
+0.0373702
+0.0366459
+0.0360404
+0.0355597
+0.0351231
+0.0343876
+0.0337784
+0.0332906
+0.0329349
+0.0327224
+0.0326558
+0.0326304
+0.0321141
+0.0317409
+0.0315159
+0.0314306
+0.03148
+0.0316811
+0.0320182
+0.032484
+0.0330886
+0.0338245
+0.0346793
+0.03561
+0.0364864
+0.0363281
+0.0355631
+0.034919
+0.0344026
+0.0340196
+0.0337507
+0.0334809
+0.033353
+0.0333688
+0.0334096
+0.0335456
+0.0337852
+0.0340383
+0.0344293
+0.0349407
+0.0355662
+0.0362031
+0.0364975
+0.0368449
+0.0373161
+0.0379028
+0.0386011
+0.039409
+0.0403198
+0.0413268
+0.0424232
+0.043227
+0.0437171
+0.044307
+0.0448826
+0.0454439
+0.0461026
+0.0468545
+0.0476953
+0.0486203
+0.0496248
+0.0506996
+0.0518371
+0.0530407
+0.054306
+0.0556288
+0.0570051
+0.0584312
+0.0599035
+0.0614186
+0.0629735
+0.0645653
+0.0661913
+0.0678491
+0.0695364
+0.071251
+0.0726602
+0.0707791
+0.0689163
+0.0670695
+0.0652389
+0.0634311
+0.0616481
+0.0598922
+0.0581659
+0.0564717
+0.0548127
+0.0531922
+0.0516139
+0.0500816
+0.0485998
+0.0471733
+0.0458071
+0.0445069
+0.0432785
+0.0421283
+0.0410629
+0.0400889
+0.0392133
+0.0384231
+0.0375916
+0.0368716
+0.0362698
+0.0357922
+0.0354438
+0.0350277
+0.0344207
+0.0339358
+0.033587
+0.0333786
+0.0333132
+0.0332414
+0.0327347
+0.0323686
+0.0321451
+0.032044
+0.0320924
+0.0322897
+0.0325403
+0.032773
+0.0331491
+0.0336638
+0.0343109
+0.0350831
+0.0359724
+0.0369702
+0.0364635
+0.0358356
+0.0353326
+0.0349598
+0.0347216
+0.0344627
+0.0343386
+0.0343477
+0.0343665
+0.0344988
+0.0347318
+0.034978
+0.0353586
+0.0358567
+0.0364666
+0.0371383
+0.0374198
+0.037764
+0.0382239
+0.0387968
+0.0394793
+0.0402696
+0.0411614
+0.0421483
+0.0432238
+0.0443102
+0.0447855
+0.0453615
+0.0460347
+0.0467199
+0.0473608
+0.0480931
+0.0489125
+0.0498149
+0.0507959
+0.0518508
+0.0529696
+0.054148
+0.055388
+0.0566856
+0.0580369
+0.0594382
+0.0608861
+0.0623774
+0.0639089
+0.065478
+0.0670819
+0.0687182
+0.0703846
+0.0720791
+0.0725721
+0.0706886
+0.0688234
+0.066974
+0.0651407
+0.0633301
+0.0615442
+0.0597853
+0.0580557
+0.0563582
+0.0546958
+0.0530718
+0.0514897
+0.0499537
+0.048468
+0.0470374
+0.0456672
+0.0443628
+0.0431303
+0.0419761
+0.0409067
+0.039929
+0.0390497
+0.0382759
+0.0375988
+0.0370297
+0.0365832
+0.0361562
+0.0358113
+0.035584
+0.0351818
+0.0347075
+0.0343665
+0.0341628
+0.034099
+0.0339625
+0.0334668
+0.0330398
+0.0325682
+0.0322389
+0.0320562
+0.0320227
+0.0321127
+0.0323484
+0.0327293
+0.0332506
+0.0339056
+0.0346868
+0.035586
+0.0365943
+0.0374706
+0.0368598
+0.0363709
+0.0360089
+0.0357777
+0.0355527
+0.0354263
+0.0354149
+0.0354332
+0.0355615
+0.0357876
+0.0360266
+0.0363962
+0.0368803
+0.0374735
+0.0381764
+0.0384449
+0.0387852
+0.0392331
+0.0397915
+0.0404572
+0.0412287
+0.0421002
+0.0430656
+0.0441188
+0.0452009
+0.0459337
+0.0464955
+0.0471524
+0.0479007
+0.0486841
+0.0493967
+0.0501949
+0.0510747
+0.0520318
+0.0530622
+0.0541617
+0.05532
+0.0565343
+0.0578061
+0.0591318
+0.0605078
+0.0619307
+0.0633974
+0.0649049
+0.0664504
+0.0680314
+0.0696454
+0.0712902
+0.0729637
+0.0725501
+0.070666
+0.0688001
+0.0669501
+0.0651161
+0.0633048
+0.0615182
+0.0597585
+0.0580281
+0.0563298
+0.0546665
+0.0530416
+0.0514586
+0.0499216
+0.0484349
+0.0470033
+0.0456321
+0.0443267
+0.0430932
+0.0419379
+0.0408675
+0.0398888
+0.0390087
+0.038234
+0.0375563
+0.0369865
+0.0365394
+0.0362195
+0.0360302
+0.0359736
+0.0359792
+0.0355974
+0.0352651
+0.0350068
+0.0345438
+0.0341211
+0.0333783
+0.0327654
+0.0322898
+0.0319577
+0.0317734
+0.0317396
+0.0318304
+0.0320681
+0.0324524
+0.032978
+0.0336383
+0.0344256
+0.0353314
+0.0363468
+0.037463
+0.0379829
+0.0375086
+0.0371577
+0.0369336
+0.0367352
+0.0365934
+0.0365824
+0.0366
+0.0367243
+0.0369432
+0.0371748
+0.0375331
+0.0380028
+0.0385787
+0.0392685
+0.0395648
+0.0398982
+0.0403361
+0.0408794
+0.0415277
+0.0422797
+0.04313
+0.0440728
+0.0451025
+0.0461615
+0.0471523
+0.0477031
+0.0483437
+0.0490737
+0.0498894
+0.0507614
+0.0515385
+0.0523957
+0.0533292
+0.054335
+0.0554092
+0.0565479
+0.0577409
+0.0589868
+0.0602865
+0.0616367
+0.0630341
+0.0644757
+0.0659586
+0.06748
+0.0690374
+0.0706284
+0.0722508
+0.0739025
+0.0725942
+0.0707113
+0.0688466
+0.0669978
+0.0651652
+0.0633553
+0.0615701
+0.059812
+0.0580832
+0.0563865
+0.054725
+0.0531018
+0.0515207
+0.0499856
+0.0485009
+0.0470713
+0.0457021
+0.0443988
+0.0431673
+0.0420141
+0.0409457
+0.0399689
+0.0390905
+0.0383147
+0.0376414
+0.0370729
+0.0366269
+0.0363078
+0.0361189
+0.0360624
+0.0361389
+0.0356477
+0.0349193
+0.0343155
+0.033843
+0.0335073
+0.033241
+0.0326256
+0.0321479
+0.0318143
+0.0316292
+0.0315952
+0.0316973
+0.0319361
+0.0323219
+0.0328496
+0.0335124
+0.0343026
+0.0352116
+0.0362304
+0.03735
+0.0385616
+0.0387328
+0.0383863
+0.0381625
+0.0379885
+0.0378513
+0.0378407
+0.0378578
+0.0379779
+0.0381897
+0.0384138
+0.0387606
+0.0392156
+0.0397739
+0.0404434
+0.0407613
+0.0410849
+0.0415217
+0.0420535
+0.0426839
+0.0434159
+0.0442443
+0.0451639
+0.0461692
+0.0472044
+0.0481737
+0.048979
+0.0496031
+0.0503149
+0.0511107
+0.0519868
+0.0529387
+0.0537736
+0.0546835
+0.0556649
+0.0567139
+0.0578269
+0.0590003
+0.060224
+0.0614976
+0.0628217
+0.0641934
+0.0656095
+0.0670673
+0.0685641
+0.0700974
+0.0716649
+0.0732644
+0.0742192
+0.0727043
+0.0708243
+0.0689627
+0.0671171
+0.0652878
+0.0634814
+0.0616999
+0.0599455
+0.0582207
+0.0565282
+0.0548709
+0.0532522
+0.0516757
+0.0501453
+0.0486655
+0.0472409
+0.0458767
+0.0445768
+0.0433468
+0.0421947
+0.041127
+0.0401507
+0.0392724
+0.0384988
+0.0378364
+0.0372732
+0.0368296
+0.0365122
+0.0363244
+0.0362683
+0.0359452
+0.0350864
+0.0343461
+0.0337321
+0.0332513
+0.0329096
+0.0327114
+0.0326147
+0.0321368
+0.0318031
+0.0316179
+0.031584
+0.0316901
+0.0319289
+0.0323148
+0.0328426
+0.0335056
+0.034296
+0.0352051
+0.036224
+0.0373438
+0.0385557
+0.0398416
+0.039685
+0.0394686
+0.039324
+0.0391915
+0.0391812
+0.0391977
+0.0393137
+0.039511
+0.0397277
+0.0400631
+0.0405013
+0.0410422
+0.0416913
+0.0420308
+0.0423447
+0.0427687
+0.0432995
+0.0439184
+0.0446301
+0.0454364
+0.0463323
+0.0473128
+0.0483241
+0.0492714
+0.0500522
+0.0509007
+0.0516192
+0.0523952
+0.0532502
+0.0541802
+0.0551816
+0.0560908
+0.0570479
+0.058072
+0.0591594
+0.0603069
+0.061511
+0.0627617
+0.0640598
+0.0654055
+0.0667959
+0.0682284
+0.0697002
+0.0712091
+0.0727526
+0.0735656
+0.0741527
+0.0728801
+0.0710048
+0.069148
+0.0673073
+0.0654834
+0.0636826
+0.0619069
+0.0601586
+0.0584401
+0.0567541
+0.0551036
+0.053491
+0.0519188
+0.0503927
+0.048917
+0.0474966
+0.0461366
+0.0448423
+0.0436197
+0.042475
+0.0414146
+0.0404452
+0.0395734
+0.0388059
+0.0381488
+0.0375903
+0.0371504
+0.0368358
+0.0366497
+0.0365042
+0.035524
+0.0346548
+0.0339051
+0.0332829
+0.0327956
+0.0324491
+0.032248
+0.0321917
+0.0322589
+0.0319424
+0.0317581
+0.0317243
+0.03183
+0.0320677
+0.032452
+0.0329776
+0.0336379
+0.0344253
+0.0353311
+0.0363465
+0.0374626
+0.0386708
+0.039953
+0.0410596
+0.0408505
+0.0407335
+0.0406056
+0.0405957
+0.0406117
+0.0407237
+0.0408951
+0.0411045
+0.0414288
+0.0418599
+0.0423835
+0.0430123
+0.0433739
+0.0436781
+0.0440893
+0.0446044
+0.0452063
+0.0458981
+0.0466825
+0.0475084
+0.0480486
+0.0486815
+0.0493958
+0.0501597
+0.0510064
+0.0519318
+0.0529317
+0.054002
+0.0551316
+0.056316
+0.0574903
+0.0584803
+0.0594797
+0.0605419
+0.0616636
+0.0628418
+0.0640732
+0.0653479
+0.0666675
+0.0680322
+0.0694391
+0.0708859
+0.07237
+0.0729658
+0.0734924
+0.0740782
+0.0731211
+0.0712515
+0.0693937
+0.0675552
+0.0657383
+0.0639448
+0.0621768
+0.0604365
+0.0587263
+0.057049
+0.0554074
+0.0538019
+0.0522389
+0.0507224
+0.0492566
+0.0478463
+0.0464964
+0.0452125
+0.0440002
+0.0428657
+0.0418152
+0.0408553
+0.0399924
+0.0392331
+0.0385833
+0.0380311
+0.0375964
+0.0372856
+0.0371017
+0.0362223
+0.0352343
+0.0343578
+0.0336014
+0.0329735
+0.0324815
+0.0321316
+0.0319285
+0.0318717
+0.0319396
+0.0321569
+0.0320478
+0.0320143
+0.032119
+0.0323547
+0.0327355
+0.0332567
+0.0339116
+0.0346927
+0.0355917
+0.0365999
+0.0377085
+0.038909
+0.0401836
+0.0415234
+0.0423008
+0.0422098
+0.0420864
+0.0420768
+0.042086
+0.0421941
+0.0423474
+0.0425496
+0.042863
+0.0432733
+0.0432896
+0.0434165
+0.0436394
+0.043963
+0.0443924
+0.0449247
+0.0455562
+0.0461909
+0.0467129
+0.0473305
+0.0480272
+0.0486807
+0.0494027
+0.05021
+0.0510985
+0.0520641
+0.0531026
+0.05419
+0.0553227
+0.0565128
+0.0577519
+0.0590464
+0.0603926
+0.0617872
+0.0630673
+0.0642197
+0.0654252
+0.0666808
+0.0679768
+0.0693157
+0.0706971
+0.07206
+0.072448
+0.0728998
+0.0734142
+0.0739899
+0.0734219
+0.0715527
+0.0697023
+0.0678722
+0.066064
+0.0642796
+0.0625211
+0.0607906
+0.0590907
+0.0574241
+0.0557935
+0.0541994
+0.0526482
+0.0511438
+0.0496905
+0.0482929
+0.0469559
+0.0456848
+0.0444854
+0.0433636
+0.0423254
+0.0413774
+0.0405256
+0.0397765
+0.0391357
+0.0385914
+0.0381631
+0.037857
+0.0371664
+0.0360714
+0.0350792
+0.0341987
+0.0334388
+0.0328077
+0.0323132
+0.0319615
+0.0317573
+0.0317002
+0.0317684
+0.0319869
+0.0323526
+0.0324499
+0.0325532
+0.0327857
+0.0331617
+0.0336762
+0.0343231
+0.0350951
+0.035984
+0.0369815
+0.038079
+0.0392682
+0.0405316
+0.0418602
+0.043259
+0.0437266
+0.0436269
+0.0436177
+0.0436182
+0.0437225
+0.04374
+0.0434258
+0.0432205
+0.0431256
+0.043142
+0.0432693
+0.0434929
+0.0438176
+0.0442484
+0.0447824
+0.0454159
+0.0460427
+0.0465761
+0.0471955
+0.0478942
+0.0486752
+0.0494989
+0.0503047
+0.0511916
+0.0521554
+0.0531921
+0.0542974
+0.0554654
+0.0566901
+0.0579718
+0.0593061
+0.0606495
+0.0620412
+0.0634778
+0.064954
+0.0664696
+0.068022
+0.0693288
+0.0706438
+0.0717126
+0.0720358
+0.072424
+0.0728759
+0.0733905
+0.0739664
+0.0737787
+0.0719189
+0.0700781
+0.0682581
+0.0664604
+0.064687
+0.0629398
+0.0612212
+0.0595336
+0.0578797
+0.0562623
+0.0546819
+0.0531448
+0.0516549
+0.0502163
+0.0488337
+0.047512
+0.0462562
+0.045072
+0.0439651
+0.0429415
+0.0420074
+0.0411687
+0.0404314
+0.0398012
+0.0392662
+0.0388453
+0.0383132
+0.0371424
+0.0360533
+0.0350606
+0.0341796
+0.0334192
+0.0327878
+0.032293
+0.031941
+0.0317368
+0.0316796
+0.0317479
+0.0319665
+0.0323324
+0.0328407
+0.0331269
+0.0333554
+0.033725
+0.0342311
+0.0348677
+0.0356278
+0.0365038
+0.0374875
+0.0385706
+0.0397451
+0.0409937
+0.0423079
+0.0436923
+0.0451407
+0.0452166
+0.0452077
+0.0446497
+0.0441249
+0.0437038
+0.0433894
+0.0431839
+0.0430889
+0.0431053
+0.0432328
+0.0434566
+0.0437815
+0.0442127
+0.0447471
+0.0453651
+0.0459882
+0.0465421
+0.047162
+0.0478611
+0.0486427
+0.0495089
+0.0504555
+0.0513779
+0.0523384
+0.0533715
+0.0544732
+0.0556375
+0.0568585
+0.0581365
+0.0594677
+0.0608487
+0.0622762
+0.0637469
+0.0652581
+0.0667719
+0.06832
+0.0699025
+0.0714978
+0.0717552
+0.0720783
+0.0724662
+0.0729179
+0.0734322
+0.0740078
+0.0741986
+0.0723495
+0.0705201
+0.0687117
+0.0669262
+0.0651655
+0.0634315
+0.0617265
+0.0600531
+0.0584139
+0.0568118
+0.0552471
+0.0537261
+0.0522528
+0.0508312
+0.0494658
+0.0481614
+0.046923
+0.045756
+0.0446661
+0.043659
+0.0427405
+0.0419165
+0.0411926
+0.0405742
+0.0400495
+0.039637
+0.0383971
+0.0372289
+0.0361556
+0.0351668
+0.0342886
+0.0335306
+0.0329014
+0.0324083
+0.0320576
+0.0318541
+0.0318005
+0.0318782
+0.0320959
+0.0324604
+0.0329667
+0.0336084
+0.0340568
+0.0344188
+0.0349148
+0.0355392
+0.0362853
+0.0371457
+0.0381129
+0.0391787
+0.0403355
+0.0415664
+0.042863
+0.0442301
+0.0456614
+0.0456995
+0.0450565
+0.0444963
+0.044033
+0.0436748
+0.0434243
+0.0432503
+0.0431555
+0.0431718
+0.0432991
+0.0435225
+0.043847
+0.0442775
+0.0448112
+0.0454156
+0.046038
+0.0466112
+0.0472302
+0.0479283
+0.0487088
+0.0495739
+0.0505192
+0.0515404
+0.052612
+0.0536398
+0.0547361
+0.0558949
+0.0571104
+0.0583829
+0.0597086
+0.0610842
+0.0625063
+0.0639718
+0.0654778
+0.0670216
+0.0686006
+0.0702124
+0.0715511
+0.0718083
+0.0721311
+0.0725188
+0.0729701
+0.073484
+0.0740592
+0.0746804
+0.0728436
+0.0710268
+0.0692317
+0.06746
+0.0657135
+0.0639944
+0.0623049
+0.0606474
+0.0590247
+0.0574396
+0.0558925
+0.0543896
+0.0529347
+0.0515319
+0.0501856
+0.0489004
+0.0476812
+0.0465333
+0.045462
+0.0444729
+0.0435715
+0.0427635
+0.0420543
+0.0414487
+0.0409352
+0.0398537
+0.0386053
+0.0374436
+0.0363767
+0.035394
+0.0345216
+0.0337689
+0.0331441
+0.0326547
+0.0323067
+0.0321047
+0.0320516
+0.0321364
+0.0323524
+0.032714
+0.0332164
+0.0338534
+0.0346176
+0.0352354
+0.0357201
+0.0363306
+0.0370607
+0.0379036
+0.0388519
+0.039898
+0.0410345
+0.042245
+0.0435214
+0.0448684
+0.04628
+0.0456415
+0.0449979
+0.0444355
+0.0439715
+0.0436128
+0.043362
+0.0432208
+0.0431905
+0.0432712
+0.0434623
+0.0436851
+0.0440084
+0.0444374
+0.0449691
+0.0455714
+0.0461917
+0.0467829
+0.0473996
+0.0480953
+0.0488731
+0.0497353
+0.0506776
+0.0516957
+0.0527851
+0.0539414
+0.055085
+0.0562366
+0.0574449
+0.0587101
+0.0600286
+0.061397
+0.062812
+0.0642705
+0.0657697
+0.0673068
+0.0688792
+0.0704847
+0.071663
+0.0719198
+0.0722422
+0.0726292
+0.0730799
+0.0735931
+0.0741674
+0.0752229
+0.0733997
+0.071597
+0.0698166
+0.0680601
+0.0663294
+0.0646267
+0.0629541
+0.0613142
+0.0597097
+0.0581432
+0.0566153
+0.0551322
+0.0536974
+0.0523151
+0.0509894
+0.049725
+0.0485265
+0.0473991
+0.0463478
+0.045378
+0.044495
+0.0437041
+0.0430103
+0.0424185
+0.0414909
+0.040174
+0.0389359
+0.0377843
+0.0367273
+0.0357543
+0.0348908
+0.0341463
+0.0335286
+0.0330448
+0.032701
+0.0325015
+0.032449
+0.0325328
+0.0327462
+0.0331034
+0.0336001
+0.0342299
+0.0349858
+0.0358598
+0.0366387
+0.0372342
+0.037947
+0.0387706
+0.0396981
+0.0407225
+0.0418366
+0.0430246
+0.0442785
+0.0456032
+0.0462758
+0.0455968
+0.0450142
+0.0444732
+0.0440097
+0.0436513
+0.0434007
+0.0432596
+0.0432293
+0.0433099
+0.0435009
+0.0438007
+0.0442071
+0.0446793
+0.0452287
+0.0458316
+0.0463675
+0.0469468
+0.047581
+0.0482692
+0.0490457
+0.0499064
+0.0508469
+0.0518616
+0.0529476
+0.0541005
+0.0553162
+0.0565568
+0.0578227
+0.0591167
+0.0604264
+0.0617859
+0.0631922
+0.0646422
+0.0661329
+0.0676618
+0.0692262
+0.0708238
+0.0718416
+0.0720978
+0.0724193
+0.0728054
+0.073255
+0.073767
+0.07434
+0.0758249
+0.0740165
+0.0722292
+0.0704648
+0.0687248
+0.0670113
+0.0653264
+0.0636722
+0.0620513
+0.0604663
+0.05892
+0.0574127
+0.0559507
+0.0545375
+0.053177
+0.0518734
+0.050631
+0.0494545
+0.0483487
+0.0473186
+0.0463691
+0.0455053
+0.0447323
+0.0440547
+0.0432882
+0.0419133
+0.0406101
+0.0393857
+0.0382477
+0.0372038
+0.0362436
+0.0353921
+0.0346583
+0.0340499
+0.0335737
+0.0332353
+0.033039
+0.0329874
+0.0330698
+0.0332797
+0.0336314
+0.0341203
+0.0347407
+0.0354857
+0.0363477
+0.0373186
+0.0382421
+0.0389364
+0.0397395
+0.0406434
+0.0416409
+0.0427272
+0.0438961
+0.0451293
+0.0464298
+0.0461347
+0.0454536
+0.0448692
+0.0443853
+0.0440053
+0.0437198
+0.0435336
+0.0434091
+0.0433789
+0.0434592
+0.0436495
+0.0439483
+0.0443534
+0.044824
+0.0453717
+0.0460052
+0.046507
+0.0470846
+0.0477364
+0.0484224
+0.0491965
+0.0500545
+0.0509923
+0.0520042
+0.0530872
+0.0542372
+0.0554498
+0.0567212
+0.0580475
+0.0594249
+0.0608179
+0.0622203
+0.0636456
+0.0650855
+0.0665663
+0.0680854
+0.0696403
+0.0712286
+0.0720532
+0.0723086
+0.0726109
+0.0729705
+0.0733894
+0.0738627
+0.0743975
+0.0764849
+0.0746925
+0.0729218
+0.0711745
+0.0694523
+0.0677572
+0.0660913
+0.0644568
+0.0628561
+0.0612919
+0.0597669
+0.0582816
+0.0568419
+0.0554514
+0.0541139
+0.0528334
+0.0516142
+0.0504606
+0.0493774
+0.0483691
+0.0474406
+0.0465968
+0.0458421
+0.0451812
+0.0438029
+0.0424447
+0.0411583
+0.0399507
+0.0388293
+0.0378015
+0.0368568
+0.0360198
+0.0352991
+0.0347019
+0.0342348
+0.033903
+0.0337106
+0.03366
+0.0337408
+0.0339466
+0.0342913
+0.034771
+0.03538
+0.0361119
+0.0369592
+0.0379144
+0.0389695
+0.0400052
+0.0407832
+0.041662
+0.0426354
+0.043697
+0.0448406
+0.0460592
+0.0468717
+0.0460974
+0.0454158
+0.0448309
+0.0443466
+0.0439663
+0.0436805
+0.0434941
+0.0434175
+0.0434515
+0.0435956
+0.043807
+0.0441047
+0.0445084
+0.0450151
+0.0456062
+0.0462496
+0.0467488
+0.0473235
+0.0479913
+0.0486737
+0.0494439
+0.0502977
+0.0512311
+0.0522383
+0.0533166
+0.0544617
+0.0556695
+0.056936
+0.0582573
+0.0596299
+0.0610502
+0.0625053
+0.0639973
+0.0655128
+0.0670319
+0.0685765
+0.0701204
+0.0716981
+0.0721835
+0.0724128
+0.0727075
+0.0730666
+0.0734893
+0.073965
+0.0744991
+0.0772014
+0.075426
+0.073673
+0.0719439
+0.0702406
+0.068565
+0.0669192
+0.0653054
+0.063726
+0.0621837
+0.0606812
+0.0592188
+0.0578025
+0.0564357
+0.0551221
+0.0538655
+0.0526702
+0.0515402
+0.0504801
+0.0494944
+0.0485874
+0.0477638
+0.0470279
+0.0458227
+0.0444198
+0.0430811
+0.0418143
+0.0406262
+0.0395239
+0.0385147
+0.0375879
+0.0367676
+0.0360618
+0.0354775
+0.0350206
+0.0346964
+0.0345084
+0.034459
+0.0345379
+0.034739
+0.0350759
+0.035545
+0.036141
+0.0368577
+0.0376884
+0.0386255
+0.0396617
+0.0407872
+0.0419128
+0.0427684
+0.0437172
+0.0447531
+0.0458704
+0.0470623
+0.0469374
+0.0461642
+0.0454835
+0.0448995
+0.044416
+0.0440363
+0.0437509
+0.0435648
+0.0434884
+0.0435223
+0.0436662
+0.0438772
+0.0441745
+0.0445775
+0.0450835
+0.0456737
+0.0463415
+0.046956
+0.0475866
+0.0483085
+0.0490218
+0.0497866
+0.0506346
+0.0515619
+0.0525628
+0.0536346
+0.054773
+0.0559741
+0.0572338
+0.0585484
+0.0599143
+0.0613281
+0.0627865
+0.0642769
+0.0658017
+0.0673633
+0.0689591
+0.0705869
+0.0721787
+0.0723418
+0.0725706
+0.0728646
+0.0732229
+0.0736351
+0.0741069
+0.07464
+0.077973
+0.0762155
+0.0744811
+0.0727712
+0.0710878
+0.0694326
+0.0678078
+0.0662157
+0.0646586
+0.063139
+0.0616598
+0.0602212
+0.058829
+0.0574866
+0.0561975
+0.0549656
+0.0537947
+0.0526889
+0.0516524
+0.0506894
+0.0498042
+0.049001
+0.0479549
+0.046516
+0.0451348
+0.0438179
+0.042573
+0.0414067
+0.0403248
+0.0393188
+0.0384105
+0.037608
+0.0369182
+0.0363476
+0.0359018
+0.0355855
+0.0354022
+0.0353539
+0.0354327
+0.0356287
+0.0359574
+0.0364151
+0.0369971
+0.0376975
+0.0385101
+0.0394277
+0.0404433
+0.0415497
+0.0427398
+0.0439562
+0.0448799
+0.0458896
+0.0469798
+0.0479631
+0.047105
+0.0463346
+0.0456565
+0.0450747
+0.0445931
+0.0442148
+0.0439307
+0.0437453
+0.0436692
+0.043703
+0.0438463
+0.0440564
+0.0443525
+0.0447539
+0.045258
+0.0458459
+0.0465112
+0.0471825
+0.0478102
+0.0485287
+0.0493342
+0.0502223
+0.0510634
+0.051983
+0.0529759
+0.0540395
+0.0551696
+0.0563622
+0.0576135
+0.0589196
+0.0602771
+0.0616826
+0.0631328
+0.0646247
+0.0661463
+0.0676999
+0.069288
+0.0709082
+0.0724033
+0.0725658
+0.0727836
+0.073064
+0.0734088
+0.073817
+0.0742876
+0.0748194
+0.0787978
+0.0770592
+0.0753442
+0.0736544
+0.0719916
+0.0703577
+0.0687548
+0.0671851
+0.0656509
+0.0641549
+0.0626997
+0.0612855
+0.059918
+0.0586005
+0.0573365
+0.0561296
+0.0549835
+0.0539021
+0.0528894
+0.0519493
+0.051086
+0.0501878
+0.0487165
+0.0473008
+0.0459431
+0.04465
+0.043429
+0.0422818
+0.0412062
+0.0402213
+0.0393338
+0.0385506
+0.037878
+0.037322
+0.036888
+0.0365802
+0.0364019
+0.036355
+0.0364348
+0.0366254
+0.0369452
+0.0373908
+0.0379578
+0.0386409
+0.039434
+0.0403306
+0.041324
+0.0424074
+0.0435741
+0.0448175
+0.0461173
+0.0471005
+0.0481634
+0.0482267
+0.0473733
+0.0466074
+0.0459333
+0.0453551
+0.0448765
+0.0445007
+0.0442183
+0.0440342
+0.0439586
+0.0439921
+0.0441345
+0.0443433
+0.0446374
+0.0450363
+0.0455372
+0.0461216
+0.046783
+0.0475091
+0.0481325
+0.0488463
+0.0496466
+0.0505293
+0.0514901
+0.0524922
+0.0534757
+0.0545295
+0.0556497
+0.0568322
+0.0580733
+0.0593694
+0.0607168
+0.0621123
+0.0635527
+0.065035
+0.0665521
+0.0680964
+0.0696755
+0.0712868
+0.0726574
+0.0728066
+0.0730213
+0.0733008
+0.0736445
+0.0740514
+0.0745205
+0.0750507
+0.0796744
+0.0779554
+0.0762605
+0.0745915
+0.07295
+0.0713381
+0.0697577
+0.0682111
+0.0667005
+0.0652286
+0.0637978
+0.0624085
+0.0610662
+0.0597741
+0.0585354
+0.0573537
+0.0562326
+0.0551757
+0.0541867
+0.0532696
+0.052428
+0.0510013
+0.0495541
+0.0481631
+0.0468332
+0.04557
+0.0443681
+0.0432335
+0.0421822
+0.0412206
+0.0403551
+0.0395921
+0.0389375
+0.0383968
+0.0379751
+0.0376762
+0.0375031
+0.0374576
+0.0375381
+0.0377231
+0.0380337
+0.0384667
+0.0390181
+0.0396829
+0.0404556
+0.04133
+0.0423
+0.043359
+0.0445007
+0.045719
+0.0470078
+0.0483614
+0.0494157
+0.0485877
+0.0477409
+0.0469809
+0.0463123
+0.0457388
+0.0452643
+0.0448917
+0.0446119
+0.0444294
+0.0443544
+0.0443876
+0.0445287
+0.0447357
+0.0450273
+0.0454228
+0.0459195
+0.046499
+0.0471551
+0.0479023
+0.0485351
+0.0492243
+0.05
+0.0508583
+0.0517951
+0.0528062
+0.0538874
+0.0550218
+0.0562111
+0.0573821
+0.0586115
+0.0598959
+0.0612318
+0.0626158
+0.0640449
+0.065516
+0.0670242
+0.068558
+0.0701266
+0.0717279
+0.0729612
+0.0731098
+0.0733236
+0.073602
+0.0739442
+0.0743495
+0.0748167
+0.0753448
+0.0806011
+0.0789022
+0.0772281
+0.0755804
+0.0739609
+0.0723715
+0.0708142
+0.0692912
+0.0678047
+0.0663573
+0.0649514
+0.0635873
+0.0622704
+0.0610037
+0.0597906
+0.0586342
+0.057538
+0.0565055
+0.0555402
+0.0546458
+0.0533594
+0.0518855
+0.0504636
+0.0490983
+0.0477945
+0.0465573
+0.0453819
+0.0442732
+0.0432472
+0.0423098
+0.0414671
+0.0407249
+0.0400888
+0.0395639
+0.0391547
+0.0388649
+0.0386971
+0.038653
+0.0387319
+0.0389113
+0.0392125
+0.0396326
+0.040168
+0.0408141
+0.0415657
+0.0424173
+0.0433629
+0.0443966
+0.0455123
+0.0467042
+0.0479666
+0.0492937
+0.0498577
+0.0490079
+0.0482052
+0.0474527
+0.0467908
+0.0462233
+0.0457538
+0.0453852
+0.0451084
+0.044928
+0.0448539
+0.0448867
+0.0450262
+0.0452309
+0.0455193
+0.0459106
+0.0464021
+0.0469757
+0.0476252
+0.048223
+0.0488211
+0.0495063
+0.0502777
+0.0511313
+0.0520632
+0.0530692
+0.0541451
+0.0552742
+0.0564658
+0.057716
+0.059021
+0.0603773
+0.0617815
+0.0631913
+0.0646076
+0.0660662
+0.0675637
+0.069086
+0.0706429
+0.0722327
+0.0733292
+0.073477
+0.0736897
+0.0739668
+0.0743074
+0.0747027
+0.0751495
+0.0756558
+0.081576
+0.0798979
+0.0782451
+0.0766193
+0.0750222
+0.0734558
+0.0719219
+0.0704229
+0.0689608
+0.0675381
+0.0661573
+0.0648186
+0.0635273
+0.0622862
+0.0610985
+0.0599673
+0.0588959
+0.0578877
+0.0569458
+0.0557899
+0.0542935
+0.0528457
+0.0514504
+0.050112
+0.0488352
+0.0476251
+0.0464768
+0.0453949
+0.0443948
+0.0434822
+0.0426626
+0.0419416
+0.0413242
+0.0408152
+0.0404187
+0.040138
+0.0399756
+0.0399329
+0.0400091
+0.0401828
+0.0404745
+0.0408816
+0.0414009
+0.042028
+0.0427583
+0.0435866
+0.0445074
+0.0455151
+0.046604
+0.0477687
+0.0490036
+0.0503034
+0.0502133
+0.0493696
+0.0485951
+0.0479069
+0.0473102
+0.0467995
+0.0463418
+0.0459779
+0.0457047
+0.0455266
+0.0454535
+0.0454859
+0.0456236
+0.0458256
+0.0461103
+0.0464966
+0.0469819
+0.0475486
+0.0480848
+0.0486022
+0.0492031
+0.049883
+0.0506486
+0.0514961
+0.0524215
+0.0534208
+0.0544897
+0.0556119
+0.0567964
+0.0580394
+0.0593373
+0.0606866
+0.0620838
+0.0635259
+0.0650098
+0.0665328
+0.0680916
+0.0696789
+0.0712228
+0.0727999
+0.0737242
+0.0738713
+0.0740829
+0.074349
+0.0746716
+0.0750533
+0.0754966
+0.0760006
+0.0825976
+0.0809406
+0.0793095
+0.077706
+0.0761318
+0.0745886
+0.0730786
+0.0716037
+0.0701663
+0.0687686
+0.067413
+0.0660997
+0.0648338
+0.0636183
+0.0624559
+0.0613497
+0.0603029
+0.0593186
+0.0582837
+0.0567686
+0.0552987
+0.0538779
+0.05251
+0.0511994
+0.0499504
+0.048768
+0.0476474
+0.0465927
+0.0456189
+0.0447312
+0.0439349
+0.0432351
+0.0426365
+0.0421434
+0.0417595
+0.0414879
+0.0413307
+0.0412894
+0.0413629
+0.0415309
+0.0418132
+0.0422075
+0.0427106
+0.0433188
+0.0440277
+0.0448325
+0.0457282
+0.0467096
+0.0477713
+0.0489082
+0.050115
+0.0513868
+0.0506612
+0.0498251
+0.0490578
+0.0483762
+0.0477766
+0.0472602
+0.0468407
+0.0465207
+0.0463022
+0.0461854
+0.0461495
+0.0461814
+0.046317
+0.046516
+0.0467965
+0.0471771
+0.0476556
+0.0481342
+0.0485524
+0.0490648
+0.0496687
+0.0503523
+0.0511109
+0.0519508
+0.0528683
+0.0538592
+0.0549197
+0.0560332
+0.057209
+0.0584432
+0.0597324
+0.0610729
+0.0624615
+0.063895
+0.0653706
+0.0668853
+0.0684362
+0.0700185
+0.0716329
+0.0732772
+0.0741288
+0.0742751
+0.0744856
+0.0747597
+0.0750849
+0.0754645
+0.0759054
+0.0764067
+0.083664
+0.0820286
+0.0804196
+0.0788387
+0.0772875
+0.0757679
+0.0742818
+0.0728313
+0.0714186
+0.0700459
+0.0687155
+0.0674276
+0.0661871
+0.0649969
+0.0638596
+0.0627782
+0.0617556
+0.0607948
+0.0593022
+0.0578138
+0.0563712
+0.0549781
+0.0536382
+0.0523558
+0.0511352
+0.0499807
+0.0488882
+0.0478608
+0.0469133
+0.0460506
+0.0452776
+0.0445988
+0.0440187
+0.0435413
+0.0431698
+0.0429071
+0.0427552
+0.0427153
+0.0427861
+0.0429486
+0.0432216
+0.0436031
+0.0440903
+0.0446797
+0.0453673
+0.0461488
+0.0470195
+0.0479744
+0.0490088
+0.0501175
+0.051296
+0.0521013
+0.051199
+0.0503706
+0.0496125
+0.0489306
+0.0483273
+0.0478169
+0.0474023
+0.0470861
+0.0468703
+0.0467549
+0.0467235
+0.0467947
+0.0469681
+0.0472016
+0.0474976
+0.047892
+0.0483411
+0.0486999
+0.0491133
+0.0496199
+0.0502172
+0.0509017
+0.051662
+0.0524931
+0.0534013
+0.0543825
+0.0554329
+0.0565363
+0.0577019
+0.0589258
+0.0602046
+0.0615348
+0.0629132
+0.0643367
+0.0658024
+0.0673074
+0.0688487
+0.0704218
+0.0720272
+0.0736627
+0.0745955
+0.0747409
+0.0749501
+0.0752225
+0.07555
+0.0759222
+0.0763555
+0.0768488
+0.0847737
+0.0831601
+0.0815734
+0.0800153
+0.0784873
+0.0769914
+0.0755294
+0.0741034
+0.0727153
+0.0713676
+0.0700623
+0.0687996
+0.0675843
+0.0664191
+0.0653066
+0.0642496
+0.0632508
+0.0618872
+0.0603831
+0.0589219
+0.0575071
+0.0561422
+0.0548308
+0.053577
+0.0523848
+0.0512585
+0.0501939
+0.0491938
+0.0482725
+0.0474345
+0.0466844
+0.0460264
+0.0454645
+0.0450024
+0.0446431
+0.0443892
+0.0442423
+0.0442037
+0.044272
+0.044429
+0.044693
+0.0450621
+0.0455336
+0.0461046
+0.0467713
+0.0475297
+0.0483755
+0.0493042
+0.0503112
+0.0513919
+0.0525418
+0.0524952
+0.0516343
+0.050836
+0.0501199
+0.0494904
+0.048951
+0.0484663
+0.0480573
+0.0477454
+0.0475326
+0.0474188
+0.0473879
+0.0474581
+0.0476244
+0.0478399
+0.048132
+0.0485212
+0.0489765
+0.0493565
+0.0497643
+0.0502645
+0.0508541
+0.0515302
+0.0522895
+0.0531203
+0.0540179
+0.0549881
+0.0560272
+0.0571191
+0.058273
+0.0594852
+0.0607522
+0.0620707
+0.0634375
+0.0648494
+0.0663038
+0.0677977
+0.0693281
+0.0708905
+0.0724855
+0.0741109
+0.0751233
+0.0752676
+0.0754753
+0.0757399
+0.0760481
+0.0763953
+0.0767897
+0.0772442
+0.0859249
+0.0843333
+0.0827691
+0.0812339
+0.0797293
+0.0782572
+0.0768193
+0.0754176
+0.0740542
+0.0727313
+0.0714509
+0.0702132
+0.0690228
+0.0678823
+0.0667942
+0.0657611
+0.0645175
+0.0629999
+0.0615229
+0.0600895
+0.0587029
+0.0573664
+0.0560837
+0.0548584
+0.0536947
+0.0525965
+0.0515597
+0.0505866
+0.0496912
+0.0488775
+0.0481499
+0.0475122
+0.0469681
+0.0465209
+0.0461734
+0.0459279
+0.045786
+0.0457487
+0.0458145
+0.0459662
+0.0462214
+0.0465784
+0.0470348
+0.0475877
+0.0482339
+0.0489697
+0.049791
+0.0506938
+0.0516737
+0.0527265
+0.0538479
+0.0529768
+0.0521235
+0.051342
+0.050633
+0.05001
+0.0494763
+0.0490346
+0.0486877
+0.0484374
+0.0482688
+0.0481605
+0.04813
+0.0481991
+0.0483565
+0.0485688
+0.0488564
+0.04924
+0.0497004
+0.0501003
+0.0505021
+0.050995
+0.0515763
+0.0522431
+0.0529921
+0.053819
+0.0547051
+0.0556634
+0.0566902
+0.0577791
+0.0589201
+0.0601192
+0.0613732
+0.0626786
+0.0640324
+0.0654315
+0.0668732
+0.0683546
+0.0698729
+0.0711728
+0.0722624
+0.0734011
+0.0745869
+0.0758022
+0.0759473
+0.0761552
+0.0764254
+0.0767571
+0.0771496
+0.077602
+0.0871159
+0.0855465
+0.084005
+0.0824928
+0.0810116
+0.0795631
+0.0781493
+0.0767719
+0.075433
+0.0741346
+0.0728789
+0.0716659
+0.0705
+0.0693838
+0.0683196
+0.0671876
+0.0656587
+0.0641681
+0.0627186
+0.0613132
+0.0599548
+0.0586469
+0.0573928
+0.0561961
+0.0550607
+0.0539902
+0.0529809
+0.0520344
+0.0511643
+0.0503744
+0.0496687
+0.0490508
+0.0485239
+0.0480912
+0.0477552
+0.0475178
+0.0473807
+0.0473447
+0.047408
+0.0475547
+0.0478014
+0.0481467
+0.0485883
+0.0491238
+0.04975
+0.0504637
+0.0512611
+0.0521384
+0.0530917
+0.0541169
+0.0544626
+0.0535402
+0.0526906
+0.051919
+0.051218
+0.0506022
+0.0500747
+0.0496384
+0.0492957
+0.0490485
+0.0488807
+0.0488094
+0.0488363
+0.0489614
+0.0491754
+0.0493841
+0.0496671
+0.0500444
+0.050509
+0.0509045
+0.0513229
+0.051808
+0.0523803
+0.053037
+0.0537749
+0.0545899
+0.0554637
+0.0564091
+0.0574225
+0.0585005
+0.0596395
+0.0608256
+0.0620653
+0.0633564
+0.0646961
+0.0660811
+0.0672222
+0.0681639
+0.0691621
+0.0702145
+0.0713187
+0.0724723
+0.073673
+0.0749186
+0.0762067
+0.0765809
+0.0768495
+0.0771794
+0.0775698
+0.0780198
+0.0883453
+0.0867981
+0.0852792
+0.08379
+0.0823321
+0.0809073
+0.0795173
+0.0781641
+0.0768494
+0.0755754
+0.074344
+0.0731553
+0.0720136
+0.0709212
+0.0698804
+0.0683544
+0.0668522
+0.0653888
+0.063967
+0.0625896
+0.0612596
+0.0599801
+0.0587545
+0.0575861
+0.0564786
+0.0554355
+0.0544532
+0.0535327
+0.0526873
+0.0519206
+0.0512362
+0.0506374
+0.0501273
+0.0497085
+0.0493835
+0.049154
+0.0490214
+0.0489866
+0.0490477
+0.0491895
+0.049428
+0.049762
+0.0501894
+0.050708
+0.0513149
+0.0520071
+0.0527812
+0.0536337
+0.0545608
+0.0555589
+0.0550949
+0.0541811
+0.0533418
+0.0525797
+0.0518876
+0.0512798
+0.0507594
+0.050329
+0.0499911
+0.0497473
+0.0495819
+0.0495116
+0.0495381
+0.0496614
+0.0498807
+0.0501948
+0.0505597
+0.0509304
+0.0513919
+0.051787
+0.0522163
+0.0526995
+0.0532622
+0.0539082
+0.0546344
+0.0554367
+0.0562974
+0.057229
+0.0582282
+0.0592915
+0.0604156
+0.061597
+0.0628262
+0.06377
+0.0645505
+0.0653839
+0.0662792
+0.0672341
+0.0682459
+0.0693123
+0.0704306
+0.0715985
+0.0728136
+0.0740736
+0.0753762
+0.0767193
+0.0773334
+0.0776613
+0.0780492
+0.0784965
+0.0896113
+0.0880864
+0.0865901
+0.0851238
+0.0836892
+0.0822879
+0.0809216
+0.0795922
+0.0783016
+0.0770516
+0.0758442
+0.0746793
+0.0735613
+0.0724922
+0.0710813
+0.069569
+0.0680935
+0.0666574
+0.0652632
+0.0639138
+0.0626119
+0.0613606
+0.0601631
+0.0590226
+0.0579426
+0.0569264
+0.0559698
+0.0550748
+0.0542534
+0.0535093
+0.0528455
+0.0522651
+0.0517711
+0.0513657
+0.0510513
+0.0508294
+0.0507013
+0.0506676
+0.0507179
+0.0508551
+0.0510859
+0.0514091
+0.0518229
+0.0523253
+0.0529137
+0.0535852
+0.0543368
+0.0551653
+0.0560671
+0.0567762
+0.055804
+0.054902
+0.0540739
+0.0533222
+0.0526399
+0.0520409
+0.0515282
+0.0511043
+0.0507715
+0.0505315
+0.0503686
+0.0502994
+0.0503256
+0.050447
+0.0506629
+0.0509721
+0.051373
+0.0518551
+0.0523468
+0.0527458
+0.0531738
+0.0536595
+0.0542184
+0.0548531
+0.0555669
+0.056356
+0.0572029
+0.05812
+0.0591041
+0.0601519
+0.0608791
+0.0614656
+0.0621238
+0.0628473
+0.0636325
+0.0644827
+0.065395
+0.0663636
+0.0673885
+0.0684682
+0.0696001
+0.0707817
+0.0720106
+0.0732844
+0.0746008
+0.0759576
+0.0773501
+0.0781036
+0.0784776
+0.0789106
+0.0909125
+0.0894098
+0.087936
+0.0864925
+0.085081
+0.083703
+0.0823602
+0.0810544
+0.0797874
+0.0785611
+0.0773772
+0.0762358
+0.0751409
+0.0738369
+0.0723158
+0.0708298
+0.0693811
+0.0679722
+0.0666056
+0.0652839
+0.0640099
+0.0627865
+0.0616167
+0.0605036
+0.0594505
+0.0584591
+0.0575193
+0.0566488
+0.0558506
+0.055128
+0.0544839
+0.0539212
+0.0534424
+0.0530499
+0.0527455
+0.0525307
+0.0524068
+0.0523742
+0.0524234
+0.052556
+0.0527794
+0.0530923
+0.0534931
+0.0539799
+0.0545505
+0.0552021
+0.055932
+0.0567372
+0.0576144
+0.057548
+0.056589
+0.0556998
+0.0548837
+0.0541433
+0.0534715
+0.0528819
+0.0523774
+0.0519604
+0.0516331
+0.0513972
+0.0512371
+0.051169
+0.0511948
+0.0513141
+0.0515263
+0.0518304
+0.0522247
+0.052699
+0.0532499
+0.0537768
+0.0542031
+0.0546796
+0.0552387
+0.0558629
+0.056565
+0.0573423
+0.0581768
+0.0586677
+0.0590327
+0.0594762
+0.0599964
+0.0605915
+0.0612496
+0.0619777
+0.0627738
+0.0636355
+0.06456
+0.0655447
+0.066587
+0.0676838
+0.0688294
+0.070024
+0.071266
+0.0725528
+0.0738822
+0.075252
+0.0766573
+0.0780969
+0.0789202
+0.0793508
+0.0922474
+0.0907668
+0.0893154
+0.0878946
+0.0865059
+0.085151
+0.0838314
+0.0825489
+0.0813052
+0.0801021
+0.0789413
+0.0778228
+0.0766186
+0.0750899
+0.0735947
+0.0721351
+0.0707132
+0.0693314
+0.0679921
+0.0666978
+0.0654514
+0.0642554
+0.0631128
+0.0620266
+0.0609998
+0.0600243
+0.0591094
+0.0582626
+0.0574868
+0.056785
+0.05616
+0.0556142
+0.0551502
+0.0547699
+0.0544751
+0.0542672
+0.0541472
+0.0541157
+0.0541637
+0.0542921
+0.0545084
+0.0548114
+0.0551997
+0.0556717
+0.056225
+0.0568575
+0.0575664
+0.058349
+0.0592023
+0.0583918
+0.057447
+0.0565712
+0.0557679
+0.0550373
+0.0543765
+0.0537969
+0.053301
+0.0528913
+0.0525698
+0.0523381
+0.0521831
+0.0521163
+0.0521415
+0.0522587
+0.0524671
+0.0527658
+0.0531531
+0.0536192
+0.0541608
+0.0547846
+0.0553
+0.0557671
+0.0561214
+0.0565381
+0.057036
+0.0573312
+0.057538
+0.0578272
+0.0581975
+0.0586473
+0.0591748
+0.0597698
+0.0604364
+0.0611742
+0.0619807
+0.0628532
+0.063789
+0.0647855
+0.0658398
+0.0669491
+0.0681079
+0.069315
+0.0705694
+0.0718688
+0.0732106
+0.0745926
+0.0760127
+0.0774687
+0.0789583
+0.0798488
+0.0936145
+0.0921559
+0.0907267
+0.0893283
+0.0879623
+0.0866302
+0.0853335
+0.0840739
+0.0828531
+0.0816728
+0.0805347
+0.0794237
+0.0778885
+0.0763853
+0.074916
+0.0734826
+0.0720873
+0.0707323
+0.06942
+0.0681529
+0.0669335
+0.0657645
+0.0646486
+0.0635886
+0.0625824
+0.0616276
+0.0607369
+0.0599131
+0.059159
+0.0584773
+0.0578705
+0.057341
+0.0568911
+0.0565225
+0.0562369
+0.0560355
+0.0559193
+0.0558888
+0.0559357
+0.0560601
+0.0562695
+0.0565631
+0.0569395
+0.0573971
+0.057934
+0.058548
+0.0592367
+0.0599975
+0.0603
+0.0593046
+0.0583746
+0.057513
+0.0567228
+0.0559962
+0.0553469
+0.0547775
+0.0542906
+0.0538885
+0.0535729
+0.0533456
+0.0532025
+0.053137
+0.0531618
+0.0532767
+0.0534811
+0.0537742
+0.0541543
+0.05451
+0.0545005
+0.0545789
+0.0547449
+0.0549978
+0.0553363
+0.0557589
+0.0562637
+0.0565487
+0.0567584
+0.0570515
+0.0574268
+0.0578826
+0.058417
+0.0590176
+0.0596926
+0.0604395
+0.0612556
+0.0621383
+0.0630848
+0.0640922
+0.0651563
+0.0662723
+0.0674411
+0.0686599
+0.0699261
+0.0712372
+0.0725907
+0.0739843
+0.0754158
+0.0768831
+0.0783842
+0.0799171
+0.0950112
+0.0935743
+0.0921671
+0.0907909
+0.0894473
+0.0881376
+0.0868634
+0.0856263
+0.0844279
+0.0832699
+0.0821493
+0.080709
+0.0791987
+0.0777208
+0.0762772
+0.0748699
+0.0735009
+0.0721725
+0.0708869
+0.0696464
+0.0684537
+0.0673111
+0.0662213
+0.0651869
+0.0641965
+0.0632662
+0.0623989
+0.0615973
+0.060864
+0.0602016
+0.0596124
+0.0590985
+0.0586621
+0.0583047
+0.0580278
+0.0578327
+0.0577201
+0.0576906
+0.0577365
+0.0578569
+0.0580599
+0.0583445
+0.0587095
+0.0591534
+0.0596745
+0.0602707
+0.06094
+0.0616798
+0.0612627
+0.0602832
+0.0593685
+0.0585215
+0.0577369
+0.0570232
+0.0563857
+0.0558269
+0.0553493
+0.0549549
+0.0546455
+0.0544226
+0.0542873
+0.054227
+0.0542513
+0.0543639
+0.0543072
+0.054049
+0.0538787
+0.0537907
+0.053781
+0.0538605
+0.0540288
+0.054285
+0.0546279
+0.055056
+0.0555671
+0.0558391
+0.0560514
+0.0563482
+0.0567282
+0.0571895
+0.0577304
+0.058338
+0.0590208
+0.0597761
+0.0606011
+0.0614932
+0.0624495
+0.0634623
+0.0645333
+0.06566
+0.0668395
+0.068069
+0.069346
+0.0706678
+0.0720321
+0.0734363
+0.0748783
+0.0763559
+0.0778672
+0.0794101
+0.0964341
+0.0950188
+0.0936333
+0.092279
+0.0909573
+0.0896696
+0.0884175
+0.0872025
+0.0860261
+0.0848878
+0.0835491
+0.0820326
+0.0805472
+0.0790945
+0.0776764
+0.0762949
+0.0749519
+0.0736497
+0.0723903
+0.0711761
+0.0700094
+0.0688926
+0.0678282
+0.0668104
+0.0658441
+0.0649373
+0.0640926
+0.0633125
+0.0625993
+0.0619555
+0.0613831
+0.0608842
+0.0604606
+0.0601139
+0.0598454
+0.0596562
+0.0595471
+0.0595185
+0.0595633
+0.0596801
+0.0598769
+0.0601529
+0.060507
+0.0609378
+0.0614438
+0.062023
+0.0626735
+0.0633119
+0.0622876
+0.0613245
+0.0604256
+0.0595879
+0.0588151
+0.0581147
+0.0574893
+0.0569414
+0.0564731
+0.0560866
+0.0557835
+0.0555652
+0.0554327
+0.0549772
+0.0544585
+0.0540236
+0.0536747
+0.0534134
+0.053241
+0.053152
+0.0531422
+0.0532227
+0.053393
+0.0536522
+0.0539992
+0.0544321
+0.0549491
+0.0552073
+0.0554221
+0.0557223
+0.0561064
+0.0565728
+0.0571195
+0.0577336
+0.0584234
+0.0591863
+0.0600195
+0.0609172
+0.0618772
+0.062899
+0.0639794
+0.0651156
+0.0663048
+0.0675441
+0.0688308
+0.0701623
+0.0715362
+0.07295
+0.0744014
+0.0758883
+0.0774087
+0.0789597
+0.0978854
+0.0964913
+0.0951273
+0.0937946
+0.0924946
+0.0912286
+0.0899982
+0.0888048
+0.0876498
+0.086407
+0.084885
+0.0833928
+0.081932
+0.0805043
+0.0791115
+0.0777555
+0.0764382
+0.0751617
+0.0739281
+0.0727396
+0.0715984
+0.0705067
+0.0694641
+0.0684651
+0.0675225
+0.0666386
+0.0658157
+0.0650562
+0.0643624
+0.0637364
+0.0631801
+0.0626955
+0.0622842
+0.0619477
+0.0616873
+0.0615038
+0.0613979
+0.0613701
+0.061414
+0.0615273
+0.0617182
+0.061986
+0.0623297
+0.062748
+0.0632394
+0.0638024
+0.064435
+0.0643787
+0.0633717
+0.0624254
+0.0615392
+0.0607123
+0.059954
+0.0592671
+0.058654
+0.058117
+0.0576583
+0.0572798
+0.0564952
+0.0557327
+0.0550469
+0.0544407
+0.0539168
+0.0534775
+0.053125
+0.052861
+0.0526869
+0.0525969
+0.052587
+0.0526683
+0.0528404
+0.0531023
+0.0534528
+0.0538902
+0.0544123
+0.0546561
+0.0548731
+0.0551762
+0.0555641
+0.0560351
+0.056587
+0.0572068
+0.0579019
+0.0586662
+0.0595014
+0.0604045
+0.0613726
+0.0624026
+0.0634914
+0.0646363
+0.0658341
+0.0670821
+0.0683775
+0.0697177
+0.0711001
+0.0725224
+0.0739822
+0.0754774
+0.0770051
+0.0785634
+0.0993638
+0.0979908
+0.0966479
+0.0953364
+0.0940577
+0.0928131
+0.091604
+0.0904317
+0.0892809
+0.0877541
+0.0862559
+0.0847878
+0.0833514
+0.0819485
+0.0805806
+0.0792497
+0.0779577
+0.0767065
+0.0754982
+0.0743347
+0.0732184
+0.0721513
+0.0711245
+0.0701492
+0.0692295
+0.0683677
+0.0675659
+0.0668263
+0.066151
+0.0655421
+0.0650013
+0.0645304
+0.0641308
+0.0638041
+0.0635512
+0.0633731
+0.0632704
+0.0632434
+0.0632864
+0.0633964
+0.0635816
+0.0638416
+0.0641753
+0.0645817
+0.0650593
+0.0656067
+0.066222
+0.0655015
+0.064512
+0.0635817
+0.0627052
+0.0618939
+0.0611502
+0.0604769
+0.0598366
+0.0587954
+0.0578146
+0.0569014
+0.0560589
+0.0552904
+0.0545991
+0.0539879
+0.0534595
+0.0530164
+0.0526608
+0.0523945
+0.0522188
+0.052128
+0.052118
+0.0522
+0.0523736
+0.0526379
+0.0529915
+0.0534327
+0.0539592
+0.0541879
+0.0544067
+0.0547125
+0.0551037
+0.0555785
+0.0561287
+0.0567479
+0.0574441
+0.0582144
+0.0590559
+0.0599657
+0.0609408
+0.0619779
+0.0630741
+0.0642264
+0.0654317
+0.0666872
+0.0679902
+0.0693379
+0.0707277
+0.0721574
+0.0736244
+0.0751267
+0.0766613
+0.0782266
+0.100868
+0.0995158
+0.0981938
+0.0969033
+0.0956455
+0.0944218
+0.0932336
+0.0920795
+0.0906382
+0.0891346
+0.08766
+0.0862158
+0.0848037
+0.0834251
+0.0820819
+0.0807758
+0.0795086
+0.0782822
+0.0770985
+0.0759596
+0.0748674
+0.0738182
+0.072813
+0.0718606
+0.0709631
+0.0701226
+0.0693411
+0.0686207
+0.0679632
+0.0673706
+0.0668446
+0.0663868
+0.0659985
+0.0656811
+0.0654354
+0.0652625
+0.0651627
+0.0651366
+0.0651787
+0.0652854
+0.0654654
+0.0657179
+0.0660421
+0.0664371
+0.0669015
+0.0674338
+0.0677036
+0.0666774
+0.0657056
+0.0646641
+0.0636279
+0.0626512
+0.0617368
+0.0606024
+0.0595056
+0.0584584
+0.057472
+0.0565532
+0.0557054
+0.054932
+0.0542361
+0.0536207
+0.0530887
+0.0526425
+0.0522843
+0.0520161
+0.0518391
+0.0517477
+0.0517376
+0.0518202
+0.0519951
+0.0522613
+0.0526174
+0.0530617
+0.0535919
+0.0537936
+0.0540141
+0.054322
+0.054716
+0.0551942
+0.0557424
+0.0563658
+0.0570666
+0.057842
+0.0586889
+0.0596043
+0.0605852
+0.0616283
+0.0627306
+0.0638891
+0.0651006
+0.0663624
+0.0676716
+0.0690255
+0.0704216
+0.0718573
+0.0733303
+0.0748385
+0.0763789
+0.0779499
+0.102397
+0.101065
+0.0997639
+0.0984939
+0.0972567
+0.0960536
+0.0948854
+0.093536
+0.0920277
+0.0905471
+0.0890959
+0.0876754
+0.0862871
+0.0849327
+0.0836137
+0.0823318
+0.0810889
+0.0798868
+0.0787273
+0.0776122
+0.0765424
+0.07551
+0.0745277
+0.0735975
+0.0727214
+0.0719014
+0.0711395
+0.0704374
+0.0697971
+0.0692202
+0.0687084
+0.0682631
+0.0678855
+0.0675769
+0.0673382
+0.0671702
+0.0670732
+0.0670478
+0.0670891
+0.0671928
+0.0673677
+0.0676131
+0.0679283
+0.0683123
+0.068764
+0.0691461
+0.0678959
+0.0666943
+0.0655438
+0.0644473
+0.0634075
+0.0624274
+0.0615097
+0.0603552
+0.0592537
+0.0582021
+0.0572112
+0.0562881
+0.0554363
+0.0546591
+0.0539597
+0.0533411
+0.0528062
+0.0523576
+0.0519975
+0.0517278
+0.0515498
+0.0514579
+0.0514478
+0.0515308
+0.0517067
+0.0519744
+0.0523324
+0.0527791
+0.0533121
+0.0534802
+0.0537019
+0.0540117
+0.0544079
+0.0548888
+0.05544
+0.0560668
+0.0567713
+0.0575506
+0.0584017
+0.0593216
+0.0603071
+0.0613549
+0.0624621
+0.0636254
+0.0648419
+0.0661086
+0.0674228
+0.0687816
+0.0701824
+0.071623
+0.0731007
+0.0746136
+0.0761585
+0.0777339
+0.10395
+0.102638
+0.101357
+0.100107
+0.0988902
+0.0977072
+0.0964463
+0.0949336
+0.0934478
+0.0919901
+0.090562
+0.0891649
+0.0878002
+0.0864694
+0.0851742
+0.0839162
+0.0826971
+0.0815187
+0.0803827
+0.079291
+0.0782367
+0.0772269
+0.0762667
+0.075358
+0.0745026
+0.0737024
+0.0729593
+0.0722749
+0.071651
+0.0710892
+0.0705909
+0.0701575
+0.0697902
+0.0694901
+0.069258
+0.0690946
+0.0690004
+0.0689757
+0.0690161
+0.069117
+0.069287
+0.0695256
+0.0698322
+0.0702058
+0.0703098
+0.0690126
+0.0677603
+0.0665562
+0.0654033
+0.0643044
+0.0632623
+0.0622799
+0.0613496
+0.0601867
+0.0590821
+0.0580273
+0.0570334
+0.0561074
+0.0552528
+0.054473
+0.0537711
+0.0531504
+0.0526136
+0.0521633
+0.0518019
+0.0515311
+0.0513524
+0.0512522
+0.0512421
+0.0513255
+0.051502
+0.0517708
+0.0521302
+0.0525786
+0.0531136
+0.0532552
+0.0534778
+0.0537888
+0.0541867
+0.0546695
+0.0552229
+0.0558522
+0.0565593
+0.0573415
+0.0581957
+0.0591188
+0.0601076
+0.0611589
+0.0622695
+0.0634364
+0.0646564
+0.0659267
+0.0672444
+0.0686067
+0.0700111
+0.0714551
+0.0729362
+0.0744524
+0.0760007
+0.0775792
+0.105525
+0.104234
+0.102972
+0.101742
+0.100545
+0.0993679
+0.0978514
+0.0963607
+0.0948973
+0.0934622
+0.0920569
+0.0906828
+0.0893413
+0.0880338
+0.086762
+0.0855274
+0.0843316
+0.0831763
+0.0820633
+0.0809901
+0.079955
+0.0789673
+0.0780285
+0.0771405
+0.0763051
+0.0755241
+0.074799
+0.0741316
+0.0735235
+0.0729761
+0.0724908
+0.0720688
+0.0717113
+0.0714192
+0.0711934
+0.0710345
+0.0709429
+0.0709188
+0.0709585
+0.0710566
+0.0712219
+0.0714541
+0.0717525
+0.0715755
+0.0702336
+0.0689352
+0.0676828
+0.0664791
+0.0653266
+0.0642262
+0.0631825
+0.0621986
+0.0612622
+0.0600976
+0.058982
+0.0579216
+0.0569258
+0.0559981
+0.0551418
+0.0543604
+0.0536571
+0.053035
+0.052497
+0.0520457
+0.0516834
+0.0514121
+0.051233
+0.0511295
+0.0511193
+0.0512029
+0.0513799
+0.0516493
+0.0520096
+0.052459
+0.0529861
+0.0531196
+0.0533428
+0.0536546
+0.0540534
+0.0545374
+0.0550922
+0.0557229
+0.0564317
+0.0572156
+0.0580717
+0.0589967
+0.0599875
+0.0610408
+0.0621536
+0.0633226
+0.0645448
+0.0658172
+0.067137
+0.0685015
+0.069908
+0.0713541
+0.0728373
+0.0743555
+0.0759057
+0.0774862
+0.107122
+0.10585
+0.104608
+0.103398
+0.102219
+0.10078
+0.0992849
+0.0978161
+0.0963747
+0.094962
+0.0935793
+0.0922278
+0.0909091
+0.0896245
+0.0883756
+0.0871638
+0.0859908
+0.0848581
+0.0837674
+0.0827093
+0.081696
+0.0807296
+0.0798115
+0.0789436
+0.0781275
+0.0773648
+0.0766572
+0.0760061
+0.0754131
+0.0748795
+0.0744066
+0.0739956
+0.0736474
+0.0733631
+0.0731433
+0.0729886
+0.0728994
+0.072876
+0.072915
+0.0730104
+0.0731713
+0.0733974
+0.0729509
+0.0715677
+0.0702257
+0.0689271
+0.0676746
+0.0664707
+0.0653181
+0.0642175
+0.0631737
+0.0621896
+0.0612531
+0.0600789
+0.0589568
+0.057896
+0.0568998
+0.0559716
+0.0551149
+0.0543331
+0.0536294
+0.053007
+0.0524687
+0.0520172
+0.0516547
+0.0513832
+0.051204
+0.0511005
+0.0510903
+0.0511739
+0.051351
+0.0516205
+0.051981
+0.0524307
+0.0529405
+0.0530742
+0.0532975
+0.0536096
+0.0540088
+0.0544932
+0.0550483
+0.0556796
+0.0563889
+0.0571734
+0.0580301
+0.0589558
+0.0599472
+0.0610013
+0.0621147
+0.0632844
+0.0645074
+0.0657805
+0.0671011
+0.0684663
+0.0698735
+0.0713202
+0.0728042
+0.074323
+0.0758739
+0.0774551
+0.10874
+0.107487
+0.106264
+0.105073
+0.103718
+0.102219
+0.100746
+0.0992985
+0.0978789
+0.0964882
+0.0951277
+0.0937985
+0.0925022
+0.0912401
+0.0900135
+0.0888241
+0.0876733
+0.0865626
+0.085487
+0.0844503
+0.0834582
+0.0825124
+0.0816144
+0.0807658
+0.0799683
+0.0792234
+0.0785325
+0.0778971
+0.0773186
+0.0767983
+0.0763372
+0.0759367
+0.0755974
+0.0753205
+0.0751064
+0.0749557
+0.0748689
+0.0748461
+0.0748844
+0.0749773
+0.075134
+0.0744299
+0.073009
+0.071627
+0.0702861
+0.0689887
+0.0677373
+0.0665345
+0.065383
+0.0642835
+0.0632408
+0.0622578
+0.0613085
+0.060134
+0.0590131
+0.0579532
+0.056958
+0.0560308
+0.055175
+0.0543941
+0.0536912
+0.0530695
+0.0525319
+0.0520809
+0.0517189
+0.0514477
+0.0512687
+0.0511653
+0.0511551
+0.0512387
+0.0514155
+0.0516847
+0.0520448
+0.0524939
+0.0529856
+0.0531191
+0.0533423
+0.0536541
+0.054053
+0.054537
+0.0550917
+0.0557224
+0.0564312
+0.0572152
+0.0580712
+0.0589962
+0.059987
+0.0610404
+0.0621531
+0.0633221
+0.0645444
+0.0658168
+0.0671367
+0.0685011
+0.0699076
+0.0713537
+0.0728369
+0.0743551
+0.0759054
+0.0774859
+0.110378
+0.109143
+0.107939
+0.106666
+0.105163
+0.103685
+0.102232
+0.100807
+0.0994086
+0.0980397
+0.0967009
+0.0953937
+0.0941194
+0.0928792
+0.0916746
+0.090507
+0.0893779
+0.0882861
+0.0872276
+0.0862118
+0.0852403
+0.0843144
+0.0834358
+0.082606
+0.0818264
+0.0810985
+0.0804238
+0.0798035
+0.0792389
+0.0787312
+0.0782816
+0.077891
+0.0775603
+0.0772904
+0.0770817
+0.076935
+0.0768504
+0.0768282
+0.0768658
+0.0769563
+0.0760064
+0.0745513
+0.0731328
+0.0717531
+0.0704146
+0.0691196
+0.0678706
+0.0666702
+0.0655211
+0.064424
+0.0633836
+0.0624029
+0.0614407
+0.0602688
+0.0591504
+0.0580931
+0.0571003
+0.0561754
+0.0553219
+0.054543
+0.0538421
+0.0532222
+0.0526861
+0.0522365
+0.0518755
+0.0516052
+0.0514267
+0.0513237
+0.0513135
+0.0513968
+0.0515731
+0.0518415
+0.0522005
+0.0526482
+0.0531087
+0.0532419
+0.0534646
+0.0537757
+0.0541737
+0.0546566
+0.055222
+0.0558512
+0.0565584
+0.0573406
+0.0581948
+0.0591179
+0.0601067
+0.061158
+0.0622686
+0.0634355
+0.0646556
+0.0659259
+0.0672436
+0.068606
+0.0700103
+0.0714543
+0.0729355
+0.0744517
+0.076
+0.0775786
+0.112034
+0.110818
+0.109621
+0.108115
+0.106633
+0.105176
+0.103744
+0.102339
+0.100963
+0.0996151
+0.0982978
+0.0970121
+0.0957593
+0.0945407
+0.0933575
+0.0922112
+0.0911032
+0.0900259
+0.0889881
+0.0879927
+0.0870409
+0.0861345
+0.0852746
+0.0844629
+0.0837006
+0.0829892
+0.0823299
+0.081724
+0.0811728
+0.0806773
+0.0802386
+0.0798576
+0.0795351
+0.0792718
+0.0790685
+0.0789254
+0.0788429
+0.0788213
+0.0788582
+0.0776746
+0.0761883
+0.0747367
+0.0733218
+0.0719457
+0.0706109
+0.0693195
+0.0680742
+0.0668775
+0.065732
+0.0646385
+0.0636016
+0.0626243
+0.0616505
+0.0604827
+0.0593683
+0.058315
+0.057326
+0.0564048
+0.0555548
+0.0547793
+0.0540814
+0.0534643
+0.0529306
+0.0524831
+0.0521239
+0.0518548
+0.0516772
+0.0515747
+0.0515646
+0.0516475
+0.0518229
+0.05209
+0.0524473
+0.052893
+0.0533165
+0.0534492
+0.053671
+0.0539809
+0.0543773
+0.0548585
+0.0554221
+0.0560536
+0.0567583
+0.0575378
+0.0583891
+0.0593092
+0.0602948
+0.0613429
+0.0624502
+0.0636138
+0.0648305
+0.0660975
+0.0674118
+0.0687708
+0.0701719
+0.0716126
+0.0730906
+0.0746037
+0.0761497
+0.0777267
+0.113708
+0.112511
+0.111076
+0.10959
+0.108128
+0.106691
+0.10528
+0.103896
+0.10254
+0.101213
+0.0999172
+0.0986526
+0.0974209
+0.0962233
+0.0950611
+0.0939356
+0.0928432
+0.091785
+0.0907673
+0.0897916
+0.0888592
+0.0879714
+0.0871297
+0.0863354
+0.0855898
+0.0848942
+0.0842498
+0.0836579
+0.0831195
+0.0826357
+0.0822074
+0.0818355
+0.0815209
+0.0812641
+0.0810657
+0.0809261
+0.0808457
+0.0808246
+0.0794287
+0.0779142
+0.0764326
+0.0749857
+0.0735755
+0.0722043
+0.0708743
+0.0695879
+0.0683475
+0.0671556
+0.066015
+0.0649262
+0.063894
+0.0629212
+0.0619371
+0.0607748
+0.0596659
+0.0586179
+0.0576342
+0.056718
+0.0558727
+0.0551017
+0.0544079
+0.0537945
+0.0532642
+0.0528195
+0.0524626
+0.0521953
+0.0520189
+0.051917
+0.0519069
+0.0519893
+0.0521636
+0.0524289
+0.0527839
+0.0532268
+0.053613
+0.053745
+0.0539656
+0.0542738
+0.0546681
+0.0551467
+0.0557073
+0.0563311
+0.0570324
+0.0578082
+0.0586556
+0.0595715
+0.0605529
+0.0615966
+0.0626995
+0.0638585
+0.0650706
+0.066333
+0.0676427
+0.0689972
+0.0703938
+0.0718301
+0.0733037
+0.0748124
+0.0763542
+0.0779271
+0.1154
+0.114043
+0.112554
+0.111088
+0.109646
+0.108229
+0.106838
+0.105475
+0.10414
+0.102834
+0.101558
+0.100314
+0.0991031
+0.0979261
+0.0967843
+0.0956779
+0.0946007
+0.0935623
+0.0925642
+0.0916076
+0.0906939
+0.0898242
+0.0890001
+0.0882226
+0.0874931
+0.0868127
+0.0861827
+0.0856041
+0.085078
+0.0846054
+0.0841872
+0.0838241
+0.0835169
+0.0832663
+0.0830727
+0.0829365
+0.082832
+0.081263
+0.0797232
+0.0782145
+0.0767386
+0.0752976
+0.0738934
+0.0725282
+0.0712043
+0.0699239
+0.0686889
+0.0675011
+0.0663644
+0.0652815
+0.064255
+0.0632877
+0.0622995
+0.0611441
+0.060042
+0.0590007
+0.0580234
+0.0571135
+0.0562742
+0.0555087
+0.0548201
+0.0542114
+0.0536852
+0.053244
+0.05289
+0.0526248
+0.0524498
+0.0523488
+0.0523388
+0.0524205
+0.0525934
+0.0528565
+0.0532087
+0.0536481
+0.0539969
+0.0541279
+0.054347
+0.054653
+0.0550447
+0.05552
+0.0560722
+0.056692
+0.0573888
+0.0581599
+0.0590022
+0.0599129
+0.0608887
+0.0619268
+0.0630239
+0.064177
+0.0653833
+0.0666397
+0.0679436
+0.0692922
+0.0706829
+0.0721134
+0.0735814
+0.0750845
+0.0766208
+0.0781883
+0.117018
+0.115525
+0.114055
+0.112609
+0.111186
+0.109789
+0.108419
+0.107075
+0.10576
+0.104475
+0.103219
+0.101996
+0.100805
+0.0996479
+0.0985261
+0.0974335
+0.0963759
+0.0953569
+0.0943777
+0.0934397
+0.092544
+0.091692
+0.0908847
+0.0901235
+0.0894095
+0.0887439
+0.0881276
+0.0875619
+0.0870476
+0.0865858
+0.0861771
+0.0858225
+0.0855225
+0.0852778
+0.0850887
+0.0847539
+0.0831722
+0.0816097
+0.0800766
+0.0785747
+0.0771057
+0.0756717
+0.0742746
+0.0729153
+0.0715967
+0.0703216
+0.0690924
+0.0679117
+0.066782
+0.0657059
+0.0646862
+0.0637255
+0.0627364
+0.0615892
+0.0604952
+0.0594618
+0.0584922
+0.0575897
+0.0567575
+0.0559986
+0.0553161
+0.0547129
+0.0541915
+0.0537545
+0.0534038
+0.0531412
+0.052968
+0.0528679
+0.0528581
+0.0529389
+0.0531101
+0.0533707
+0.0537195
+0.0541547
+0.0544663
+0.0545961
+0.0548133
+0.0551168
+0.0555051
+0.0559766
+0.0565197
+0.0571347
+0.0578262
+0.0585914
+0.0594277
+0.0603319
+0.0613011
+0.0623323
+0.0634223
+0.0645684
+0.0657674
+0.0670167
+0.0683133
+0.0696548
+0.0710384
+0.0724619
+0.0739229
+0.0754193
+0.0769489
+0.0785099
+0.118502
+0.117029
+0.115578
+0.114151
+0.112748
+0.11137
+0.110019
+0.108696
+0.1074
+0.106135
+0.104899
+0.103695
+0.102524
+0.101387
+0.100282
+0.0992064
+0.0981679
+0.0971676
+0.0962069
+0.0952869
+0.0944088
+0.0935737
+0.0927828
+0.0920373
+0.0913383
+0.0906868
+0.0900838
+0.0895305
+0.0890276
+0.0885761
+0.0881766
+0.0878301
+0.087537
+0.0872979
+0.0867428
+0.0851427
+0.0835684
+0.0820135
+0.0804881
+0.078994
+0.0775313
+0.0761035
+0.0747128
+0.073361
+0.0720506
+0.0707836
+0.0695627
+0.0683901
+0.0672684
+0.0662002
+0.0651882
+0.064235
+0.0632462
+0.0621084
+0.0610237
+0.0599994
+0.0590387
+0.0581446
+0.0573204
+0.0565691
+0.0558936
+0.0552966
+0.0547809
+0.0543486
+0.0540018
+0.0537421
+0.0535708
+0.0534718
+0.0534621
+0.053542
+0.0537113
+0.053969
+0.054314
+0.0547445
+0.0550189
+0.0551475
+0.0553625
+0.055663
+0.0560475
+0.0565144
+0.0570479
+0.0576572
+0.0583425
+0.0591011
+0.0599302
+0.060827
+0.0617884
+0.0628116
+0.0638935
+0.0650312
+0.0662219
+0.0674627
+0.068751
+0.070084
+0.0714594
+0.0728747
+0.0743276
+0.0758159
+0.0773377
+0.0788909
+0.120006
+0.118551
+0.117119
+0.115711
+0.114327
+0.112969
+0.111637
+0.110333
+0.109057
+0.107811
+0.106595
+0.105411
+0.104259
+0.103141
+0.102052
+0.100996
+0.0999757
+0.0989938
+0.098051
+0.0971484
+0.0962873
+0.0954686
+0.0946936
+0.0939632
+0.0932786
+0.0926408
+0.0920506
+0.0915092
+0.0910172
+0.0905756
+0.090185
+0.0898462
+0.0895597
+0.0887953
+0.0871779
+0.0855859
+0.0840196
+0.0824715
+0.0809531
+0.079466
+0.0780122
+0.0765934
+0.0752117
+0.0738691
+0.0725678
+0.0713101
+0.0700983
+0.0689348
+0.0678221
+0.0667628
+0.0657595
+0.0648146
+0.0638271
+0.0626998
+0.0616255
+0.0606114
+0.0596605
+0.058776
+0.0579607
+0.0572178
+0.0565501
+0.0559601
+0.0554505
+0.0550235
+0.054681
+0.0544245
+0.0542554
+0.0541577
+0.0541481
+0.054227
+0.0543941
+0.0546486
+0.0549893
+0.0554146
+0.0556523
+0.0557794
+0.055992
+0.0562892
+0.0566695
+0.0571292
+0.0576545
+0.0582575
+0.0589358
+0.0596869
+0.060508
+0.0613963
+0.0623489
+0.063363
+0.0644357
+0.065564
+0.0667452
+0.0679765
+0.0692552
+0.0705787
+0.0719446
+0.0733505
+0.0747942
+0.0762734
+0.0777862
+0.0793307
+0.121531
+0.120094
+0.118681
+0.117291
+0.115926
+0.114587
+0.113275
+0.111989
+0.110733
+0.109505
+0.108308
+0.107143
+0.10601
+0.10491
+0.103839
+0.1028
+0.101799
+0.100834
+0.099909
+0.0990234
+0.0981787
+0.0973759
+0.0966162
+0.0959005
+0.0952298
+0.0946051
+0.0940273
+0.0934973
+0.0930158
+0.0925838
+0.0922017
+0.0918703
+0.0909064
+0.0892731
+0.0876641
+0.0860808
+0.0845203
+0.0829816
+0.0814727
+0.0799953
+0.0785512
+0.0771424
+0.0757707
+0.0744382
+0.073147
+0.0718994
+0.0706977
+0.0695442
+0.0684415
+0.0673919
+0.0663981
+0.0654625
+0.0644772
+0.0633615
+0.0622987
+0.0612957
+0.0603556
+0.0594814
+0.0586759
+0.0579422
+0.0572829
+0.0567006
+0.0561977
+0.0557764
+0.0554385
+0.0551855
+0.0550188
+0.0549224
+0.0549129
+0.0549908
+0.0551556
+0.0554066
+0.0557426
+0.0561622
+0.0563638
+0.0564893
+0.0566993
+0.0569927
+0.0573684
+0.057818
+0.0583371
+0.0589331
+0.0596038
+0.0603465
+0.0611588
+0.0620377
+0.0629807
+0.0639848
+0.0650472
+0.0661651
+0.0673357
+0.0685564
+0.0698245
+0.0711374
+0.0724928
+0.0738883
+0.0753216
+0.0767907
+0.0782935
+0.0798282
+0.123075
+0.121657
+0.120262
+0.118891
+0.117545
+0.116224
+0.11493
+0.113664
+0.112426
+0.111217
+0.110039
+0.108892
+0.107777
+0.106696
+0.105641
+0.10462
+0.103636
+0.102689
+0.10178
+0.100911
+0.100082
+0.0992949
+0.09855
+0.0978484
+0.0971912
+0.0965792
+0.0960133
+0.0954943
+0.095023
+0.0946
+0.0942262
+0.0930711
+0.091424
+0.0898002
+0.0882008
+0.0866274
+0.0850746
+0.083546
+0.0820475
+0.0805807
+0.0791473
+0.0777492
+0.0763884
+0.0750669
+0.0737867
+0.0725501
+0.0713594
+0.0702168
+0.0691248
+0.0680857
+0.0671021
+0.0661765
+0.0651945
+0.0640913
+0.0630408
+0.0620498
+0.0611213
+0.0602582
+0.0594633
+0.0587393
+0.0580891
+0.0575149
+0.0570192
+0.056604
+0.0562711
+0.056022
+0.0558577
+0.0557628
+0.0557534
+0.0558301
+0.0559924
+0.0562397
+0.0565708
+0.0569843
+0.0571408
+0.0572646
+0.0574717
+0.0577612
+0.0581319
+0.0585807
+0.0590931
+0.0596816
+0.0603439
+0.0610777
+0.0618803
+0.0627492
+0.0636816
+0.0646748
+0.0657261
+0.0668326
+0.0679918
+0.0692009
+0.0704573
+0.0717587
+0.0731025
+0.0744866
+0.0759087
+0.0773666
+0.0788585
+0.0803823
+0.124639
+0.123239
+0.121862
+0.120509
+0.119181
+0.117879
+0.116604
+0.115356
+0.114136
+0.112946
+0.111785
+0.110657
+0.10956
+0.108495
+0.107457
+0.106454
+0.105486
+0.104556
+0.103664
+0.102811
+0.101997
+0.101225
+0.100494
+0.0998065
+0.0991622
+0.0985624
+0.098008
+0.0974996
+0.097038
+0.0966239
+0.0952875
+0.0936281
+0.091991
+0.0903773
+0.0887884
+0.0872255
+0.0856813
+0.0841637
+0.0826764
+0.0812209
+0.0797991
+0.0784126
+0.0770635
+0.0757537
+0.0744854
+0.0732606
+0.0720816
+0.0709506
+0.0698701
+0.0688423
+0.0678697
+0.0669546
+0.0659768
+0.0648869
+0.0638494
+0.0628712
+0.061955
+0.0611037
+0.0603199
+0.0596064
+0.0589657
+0.0584002
+0.0579121
+0.0575033
+0.0571756
+0.0569304
+0.0567688
+0.0566754
+0.0566662
+0.0567416
+0.0569014
+0.0571447
+0.0574706
+0.0578776
+0.0579857
+0.0581077
+0.0583118
+0.0585972
+0.0589626
+0.0594066
+0.0599197
+0.0605002
+0.0611536
+0.0618778
+0.0626701
+0.0635282
+0.0644494
+0.065431
+0.0664702
+0.0675646
+0.0687114
+0.069908
+0.071152
+0.0724409
+0.0737723
+0.0751441
+0.0765539
+0.0779998
+0.0794798
+0.080992
+0.126222
+0.124839
+0.12348
+0.122145
+0.120835
+0.119551
+0.118294
+0.117064
+0.115862
+0.11469
+0.113547
+0.112436
+0.111357
+0.110307
+0.109287
+0.1083
+0.10735
+0.106436
+0.10556
+0.104722
+0.103923
+0.103165
+0.102449
+0.101774
+0.101142
+0.100554
+0.100011
+0.0995127
+0.0990605
+0.0975519
+0.0958817
+0.0942328
+0.0926063
+0.0910036
+0.0894257
+0.0878735
+0.0863393
+0.0848335
+0.0833581
+0.0819148
+0.0805052
+0.0791311
+0.0777945
+0.0764972
+0.0752414
+0.0740291
+0.0728625
+0.0717439
+0.0706754
+0.0696596
+0.0686985
+0.0677947
+0.0668218
+0.0657459
+0.0647222
+0.0637574
+0.0628541
+0.0620151
+0.061243
+0.0605404
+0.0599096
+0.0593531
+0.0588729
+0.0584709
+0.0581486
+0.0579075
+0.0577486
+0.0576568
+0.0576478
+0.057722
+0.057879
+0.0581182
+0.0584387
+0.058839
+0.0589
+0.0590201
+0.0592211
+0.0595021
+0.059862
+0.0602993
+0.0608125
+0.061386
+0.0620301
+0.0627442
+0.0635258
+0.0643724
+0.0652817
+0.0662509
+0.0672775
+0.068359
+0.0694927
+0.0706761
+0.0719068
+0.0731824
+0.0745006
+0.0758591
+0.0772559
+0.0786889
+0.0801561
+0.0816558
+0.127598
+0.126458
+0.125116
+0.123799
+0.122507
+0.12124
+0.12
+0.118788
+0.117604
+0.116449
+0.115324
+0.11423
+0.113168
+0.112133
+0.111129
+0.11016
+0.109225
+0.108327
+0.107467
+0.106644
+0.10586
+0.105116
+0.104412
+0.10375
+0.103131
+0.102554
+0.102021
+0.101533
+0.0998611
+0.0981813
+0.0965219
+0.0948841
+0.0932691
+0.0916777
+0.0901086
+0.0885656
+0.0870456
+0.0855523
+0.0840895
+0.0826589
+0.0812622
+0.0799012
+0.0785776
+0.0772935
+0.0760509
+0.0748517
+0.0736981
+0.0725924
+0.0715366
+0.0705331
+0.0695842
+0.068692
+0.0677271
+0.0666658
+0.0656565
+0.0647056
+0.0638157
+0.0629895
+0.0622295
+0.0615382
+0.0609178
+0.0603705
+0.0598985
+0.0595034
+0.0591868
+0.0589499
+0.0587938
+0.0587037
+0.0586948
+0.0587676
+0.0589219
+0.0591569
+0.0594718
+0.0598423
+0.0598805
+0.0599986
+0.0601963
+0.0604728
+0.0608269
+0.0612575
+0.0617627
+0.0623363
+0.0629707
+0.0636742
+0.0644445
+0.0652793
+0.0661761
+0.0671324
+0.0681457
+0.0692136
+0.0703335
+0.071503
+0.0727197
+0.0739813
+0.0752855
+0.0766301
+0.0780131
+0.0794325
+0.0808862
+0.0823726
+0.128863
+0.128093
+0.126768
+0.125469
+0.124194
+0.122945
+0.121722
+0.120527
+0.11936
+0.118223
+0.117115
+0.116038
+0.114992
+0.113972
+0.112985
+0.112031
+0.111113
+0.11023
+0.109384
+0.108576
+0.107806
+0.107075
+0.106385
+0.105735
+0.105127
+0.104562
+0.103919
+0.102212
+0.100524
+0.0988552
+0.0972073
+0.0955805
+0.0939741
+0.0923918
+0.0908348
+0.0893044
+0.0877972
+0.0863169
+0.0848673
+0.08345
+0.0820668
+0.0807193
+0.0794094
+0.078139
+0.07691
+0.0757244
+0.0745843
+0.0734919
+0.0724493
+0.0714586
+0.0705221
+0.0696419
+0.0686904
+0.0676442
+0.0666497
+0.0657132
+0.0648371
+0.0640241
+0.0632766
+0.0625967
+0.061987
+0.0614492
+0.0609855
+0.0605975
+0.0602867
+0.0600542
+0.0599009
+0.0598124
+0.0598037
+0.0598752
+0.0600266
+0.0602574
+0.0605665
+0.0608865
+0.060924
+0.0610401
+0.0612345
+0.0615063
+0.0618545
+0.0622779
+0.0627749
+0.0633439
+0.0639725
+0.0646651
+0.0654237
+0.0662462
+0.06713
+0.068073
+0.0690725
+0.0701263
+0.0712318
+0.0723868
+0.0735889
+0.0748359
+0.0761254
+0.0774555
+0.078824
+0.080229
+0.0816686
+0.0831409
+0.130153
+0.129744
+0.128437
+0.127154
+0.125896
+0.124664
+0.123459
+0.122281
+0.121131
+0.12001
+0.118919
+0.117858
+0.116829
+0.115824
+0.114852
+0.113914
+0.113011
+0.112143
+0.111312
+0.110517
+0.109761
+0.109044
+0.108366
+0.107728
+0.107132
+0.106316
+0.104602
+0.102906
+0.101229
+0.0995711
+0.0979322
+0.0963153
+0.0947214
+0.0931518
+0.0916077
+0.0900904
+0.0885966
+0.0871298
+0.085694
+0.0842907
+0.0829214
+0.0815881
+0.0802923
+0.0790361
+0.0778213
+0.0766498
+0.0755237
+0.0744451
+0.0734159
+0.0724385
+0.0715148
+0.070647
+0.0697082
+0.0686734
+0.0676935
+0.066771
+0.0659085
+0.0651083
+0.0643727
+0.0637041
+0.0631044
+0.0625757
+0.0621198
+0.0617383
+0.0614326
+0.0612038
+0.0610529
+0.0609678
+0.0609593
+0.0610294
+0.061178
+0.0614044
+0.0617077
+0.0619905
+0.0620274
+0.0621414
+0.0623323
+0.0625994
+0.0629416
+0.0633577
+0.0638463
+0.0644058
+0.0650327
+0.0657141
+0.0664608
+0.0672705
+0.0681411
+0.0690702
+0.0700555
+0.0710947
+0.0721855
+0.0733254
+0.0745124
+0.0757441
+0.0770185
+0.0783334
+0.0796868
+0.0810768
+0.0825016
+0.0839594
+0.131466
+0.131283
+0.130121
+0.128855
+0.127614
+0.126399
+0.12521
+0.124048
+0.122915
+0.121811
+0.120736
+0.119691
+0.118676
+0.117687
+0.11673
+0.115808
+0.114919
+0.114066
+0.113249
+0.112468
+0.111725
+0.11102
+0.110355
+0.109729
+0.108748
+0.107028
+0.105326
+0.10364
+0.101972
+0.100325
+0.0986981
+0.097094
+0.0955131
+0.0939567
+0.092426
+0.0909224
+0.0894425
+0.0879899
+0.0865683
+0.0851793
+0.0838246
+0.0825059
+0.0812248
+0.0799832
+0.0787829
+0.077626
+0.0765143
+0.0754498
+0.0744346
+0.0734707
+0.0725601
+0.071705
+0.0707674
+0.0697481
+0.0687834
+0.0678758
+0.0670275
+0.0662408
+0.065518
+0.0648611
+0.0642722
+0.0637532
+0.0633058
+0.0629315
+0.0626316
+0.0624072
+0.0622592
+0.0621755
+0.0621671
+0.0622359
+0.0623816
+0.0626036
+0.0629012
+0.0631513
+0.0631874
+0.0632994
+0.0634869
+0.063749
+0.0640851
+0.0644939
+0.0649739
+0.0655238
+0.0661417
+0.0668185
+0.067553
+0.0683498
+0.0692068
+0.0701218
+0.0710925
+0.0721168
+0.0731923
+0.0743168
+0.0754882
+0.0767042
+0.0779629
+0.0792621
+0.0806
+0.0819745
+0.083384
+0.0848266
+0.132803
+0.132621
+0.13182
+0.13057
+0.129346
+0.128147
+0.126975
+0.125829
+0.124712
+0.123624
+0.122565
+0.121536
+0.120534
+0.119561
+0.118619
+0.117712
+0.116838
+0.115998
+0.115195
+0.114428
+0.113697
+0.113005
+0.112351
+0.111213
+0.109488
+0.107777
+0.106084
+0.10441
+0.102755
+0.10112
+0.0995064
+0.0979155
+0.0963481
+0.0948054
+0.0932886
+0.0917991
+0.0903336
+0.0888955
+0.0874887
+0.0861146
+0.0847748
+0.0834711
+0.082205
+0.0809785
+0.0797932
+0.0786511
+0.0775541
+0.0765041
+0.075503
+0.074553
+0.0736558
+0.0728135
+0.0718775
+0.0708742
+0.0699251
+0.0690324
+0.0681985
+0.0674255
+0.0667155
+0.0660705
+0.0654925
+0.0649832
+0.0645444
+0.0641773
+0.0638833
+0.0636633
+0.0635182
+0.0634358
+0.0634276
+0.063495
+0.0636378
+0.0638555
+0.0641473
+0.0643657
+0.0644012
+0.064511
+0.0646949
+0.0649523
+0.0652821
+0.0656834
+0.0661549
+0.066695
+0.0673021
+0.0679744
+0.0686977
+0.0694813
+0.0703246
+0.0712252
+0.0721811
+0.0731901
+0.0742501
+0.0753588
+0.0765143
+0.0777143
+0.0789568
+0.08024
+0.0815618
+0.0829204
+0.084314
+0.085741
+0.115673
+0.114283
+0.112918
+0.11158
+0.110269
+0.108986
+0.107733
+0.10651
+0.105318
+0.104159
+0.103033
+0.101942
+0.100887
+0.0998683
+0.0988879
+0.0979468
+0.0970459
+0.0961865
+0.0953698
+0.0945967
+0.0938609
+0.0931705
+0.0925268
+0.0919308
+0.0913834
+0.0908856
+0.0904381
+0.0900417
+0.088965
+0.0876222
+0.0863019
+0.0850176
+0.0837442
+0.0824386
+0.0811687
+0.0799336
+0.0787401
+0.0775902
+0.0764857
+0.0754287
+0.0744211
+0.0734651
+0.0725627
+0.0717045
+0.0709021
+0.0701589
+0.0694769
+0.0688578
+0.0683035
+0.067812
+0.0673717
+0.0669882
+0.0666648
+0.0664121
+0.0662195
+0.0660964
+0.0655831
+0.0650216
+0.0645279
+0.0640936
+0.0637316
+0.0634433
+0.0632295
+0.0630912
+0.063013
+0.0629972
+0.0630576
+0.0629184
+0.0625484
+0.0622183
+0.0619608
+0.0617676
+0.0616418
+0.0615859
+0.0616079
+0.0616754
+0.0618025
+0.061997
+0.0622282
+0.0625155
+0.0628779
+0.0632931
+0.0637409
+0.064234
+0.0647974
+0.0654293
+0.0659064
+0.066239
+0.0666419
+0.067114
+0.0676538
+0.0682596
+0.0689297
+0.0696623
+0.0704555
+0.0713014
+0.0721966
+0.0731466
+0.0741491
+0.0752021
+0.114102
+0.112693
+0.111309
+0.109951
+0.108621
+0.107318
+0.106045
+0.104802
+0.103591
+0.102412
+0.101267
+0.100156
+0.0990821
+0.098045
+0.0970462
+0.096087
+0.0951685
+0.094292
+0.0934587
+0.0926697
+0.0919254
+0.0912203
+0.0905627
+0.0899537
+0.0893942
+0.0888852
+0.0884276
+0.0880221
+0.0874456
+0.0860907
+0.0847676
+0.0834597
+0.0821395
+0.080808
+0.0795146
+0.0782567
+0.0770373
+0.0758615
+0.0747315
+0.0736493
+0.0726171
+0.071637
+0.0707112
+0.0698366
+0.0690125
+0.0682487
+0.0675474
+0.0669105
+0.0663399
+0.0658368
+0.0653865
+0.064994
+0.0646606
+0.0644001
+0.0642071
+0.0640801
+0.0637254
+0.0631474
+0.0626407
+0.0622023
+0.0618293
+0.061532
+0.0613116
+0.061169
+0.0610901
+0.0610738
+0.061136
+0.0611621
+0.0607815
+0.0604494
+0.0601843
+0.0599931
+0.0598636
+0.059806
+0.0598287
+0.0599027
+0.0600323
+0.0602326
+0.0604672
+0.0607629
+0.0611357
+0.0615626
+0.0620229
+0.0625295
+0.0631082
+0.0637568
+0.0642841
+0.064625
+0.065038
+0.0655216
+0.0660743
+0.0666945
+0.0673802
+0.0681295
+0.0689403
+0.0698087
+0.0707229
+0.0716924
+0.072715
+0.0737884
+0.112553
+0.111124
+0.10972
+0.108342
+0.106991
+0.105669
+0.104376
+0.103113
+0.101881
+0.100682
+0.0995173
+0.0983872
+0.0972934
+0.0962369
+0.0952192
+0.0942414
+0.0933048
+0.0924106
+0.0915602
+0.0907546
+0.0899952
+0.0892812
+0.0886092
+0.0879867
+0.0874146
+0.086894
+0.0864259
+0.086011
+0.0856501
+0.0845764
+0.0832324
+0.081925
+0.0805625
+0.0792045
+0.0778844
+0.0766043
+0.0753596
+0.0741573
+0.0730009
+0.0718926
+0.0708348
+0.0698297
+0.0688796
+0.0679869
+0.0671412
+0.0663559
+0.0656344
+0.0649787
+0.064391
+0.063873
+0.0634149
+0.0630118
+0.062669
+0.0624001
+0.0622068
+0.0620757
+0.0618895
+0.0612942
+0.0607721
+0.0603238
+0.0599391
+0.0596324
+0.059405
+0.0592577
+0.0591857
+0.0591689
+0.0592332
+0.0593782
+0.059043
+0.0587089
+0.058436
+0.0582442
+0.0581136
+0.0580543
+0.0580776
+0.0581584
+0.0582907
+0.0584969
+0.0587352
+0.0590396
+0.0594232
+0.0598623
+0.0603356
+0.0608562
+0.0614507
+0.0621166
+0.0626963
+0.0630458
+0.063469
+0.0639645
+0.0645306
+0.0651655
+0.0658671
+0.0666334
+0.0674622
+0.0683511
+0.0692871
+0.0702764
+0.0713193
+0.0724134
+0.111024
+0.109575
+0.108152
+0.106754
+0.105383
+0.10404
+0.102726
+0.101442
+0.10019
+0.0989711
+0.0977856
+0.0966353
+0.0955214
+0.0944451
+0.0934079
+0.0924109
+0.0914555
+0.0905431
+0.0896749
+0.0888523
+0.0880765
+0.0873487
+0.0866671
+0.0860305
+0.0854453
+0.0849127
+0.0844335
+0.0840088
+0.0836393
+0.0830922
+0.0817239
+0.0803919
+0.0790147
+0.0776297
+0.0762823
+0.0749748
+0.0737088
+0.0724792
+0.0712956
+0.0701604
+0.069076
+0.068045
+0.0670696
+0.0661525
+0.0652898
+0.0644819
+0.0637392
+0.0630639
+0.0624581
+0.0619239
+0.0614549
+0.0610422
+0.0606911
+0.0604134
+0.0602142
+0.0600842
+0.0600285
+0.0594639
+0.0589256
+0.0584645
+0.0580695
+0.0577529
+0.057518
+0.0573659
+0.0572945
+0.0572845
+0.0573508
+0.0575007
+0.0573355
+0.0569995
+0.0567183
+0.0565208
+0.0563944
+0.0563333
+0.0563573
+0.0564453
+0.0565803
+0.0567928
+0.0570347
+0.0573481
+0.057743
+0.0581948
+0.0586815
+0.0592167
+0.0598274
+0.0605112
+0.0611458
+0.0615041
+0.0619379
+0.0624455
+0.0630253
+0.0636752
+0.064393
+0.0651767
+0.0660237
+0.0669318
+0.0678916
+0.068901
+0.0699643
+0.0710794
+0.109519
+0.10805
+0.106605
+0.105187
+0.103795
+0.102431
+0.101097
+0.0997923
+0.0985193
+0.097279
+0.0960727
+0.0949016
+0.0937671
+0.0926704
+0.0916131
+0.0905964
+0.0896217
+0.0886904
+0.0878039
+0.0869636
+0.0861708
+0.0854268
+0.0847329
+0.0840859
+0.0834871
+0.0829419
+0.0824513
+0.0820163
+0.0816377
+0.0813165
+0.0802468
+0.0788899
+0.077498
+0.0760853
+0.0747102
+0.0733747
+0.072081
+0.0708291
+0.0696174
+0.0684544
+0.0673426
+0.0662846
+0.065283
+0.0643403
+0.0634594
+0.0626285
+0.0618635
+0.0611675
+0.0605428
+0.0599915
+0.0595109
+0.0590881
+0.0587282
+0.0584412
+0.0582353
+0.0581071
+0.0580495
+0.0576588
+0.0571035
+0.0566275
+0.0562231
+0.055896
+0.0556533
+0.0554961
+0.0554228
+0.0554215
+0.0554911
+0.055646
+0.0556618
+0.0553241
+0.0550343
+0.0548307
+0.0547053
+0.0546459
+0.0546707
+0.0547641
+0.0549041
+0.055123
+0.0553687
+0.0556915
+0.056098
+0.0565621
+0.0570636
+0.0576138
+0.0582414
+0.0589414
+0.0596355
+0.0600028
+0.0604474
+0.0609674
+0.0615611
+0.0622262
+0.0629606
+0.0637619
+0.0646275
+0.0655549
+0.066539
+0.0675686
+0.0686526
+0.0697886
+0.108036
+0.106547
+0.105082
+0.103643
+0.10223
+0.100845
+0.099489
+0.0981633
+0.0968689
+0.0956072
+0.0943795
+0.0931871
+0.0920315
+0.0909139
+0.0898359
+0.0887988
+0.0878042
+0.0868534
+0.085948
+0.0850893
+0.0842789
+0.083518
+0.0828082
+0.0821506
+0.0815407
+0.0809823
+0.0804798
+0.0800341
+0.0796461
+0.0793168
+0.0788024
+0.0774207
+0.0760142
+0.0745734
+0.0731698
+0.0718056
+0.0704832
+0.0692048
+0.0679685
+0.0667767
+0.0656365
+0.0645505
+0.0635216
+0.0625524
+0.0616459
+0.0607976
+0.0600093
+0.0592914
+0.0586467
+0.0580775
+0.0575847
+0.0571512
+0.0567821
+0.0564852
+0.0562721
+0.0561437
+0.0560863
+0.0558813
+0.0553081
+0.0548166
+0.0544023
+0.0540642
+0.0538132
+0.0536506
+0.0535752
+0.0535739
+0.0536565
+0.0538166
+0.0540252
+0.0536834
+0.0533871
+0.0531771
+0.0530491
+0.0529953
+0.0530209
+0.0531173
+0.0532652
+0.0534908
+0.0537404
+0.0540729
+0.0544915
+0.0549634
+0.055485
+0.0560508
+0.0566956
+0.0573994
+0.0581296
+0.058545
+0.0590005
+0.0595332
+0.0601411
+0.0608218
+0.0615729
+0.062392
+0.0632763
+0.0642232
+0.0652205
+0.0662712
+0.0673761
+0.0685333
+0.106579
+0.105068
+0.103583
+0.102122
+0.100688
+0.0992816
+0.097904
+0.0965565
+0.0952403
+0.0939567
+0.0927072
+0.091493
+0.0903157
+0.0891766
+0.0880773
+0.0870193
+0.0860041
+0.0850332
+0.0841082
+0.0832305
+0.0824018
+0.0816235
+0.080897
+0.0802238
+0.0796052
+0.0790341
+0.0785191
+0.0780622
+0.0776644
+0.0773267
+0.0770497
+0.0759859
+0.0745652
+0.0730958
+0.0716633
+0.0702699
+0.068918
+0.06761
+0.0663486
+0.0651295
+0.06396
+0.062845
+0.0617877
+0.0607909
+0.0598577
+0.0589911
+0.0581783
+0.0574377
+0.0567719
+0.0561837
+0.0556755
+0.0552332
+0.0548544
+0.054547
+0.0543263
+0.0541933
+0.0541405
+0.0541341
+0.0535422
+0.0530343
+0.0526096
+0.05226
+0.0520003
+0.051832
+0.0517544
+0.0517531
+0.0518444
+0.0520151
+0.0522665
+0.0520767
+0.0517802
+0.0515637
+0.051433
+0.051379
+0.0514053
+0.0515109
+0.0516671
+0.0518996
+0.0521525
+0.0524951
+0.0529261
+0.0534062
+0.0539492
+0.0545309
+0.0551935
+0.0559007
+0.0566385
+0.057134
+0.0576007
+0.0581462
+0.0587684
+0.0594648
+0.0602329
+0.0610699
+0.0619731
+0.0629328
+0.0639481
+0.0650194
+0.0661452
+0.0673235
+0.10514
+0.103615
+0.102108
+0.100626
+0.0991705
+0.0977423
+0.0963427
+0.094973
+0.0936346
+0.0923287
+0.0910568
+0.0898203
+0.0886208
+0.0874597
+0.0863385
+0.0852589
+0.0842225
+0.0832308
+0.0822855
+0.0813882
+0.0805406
+0.0797441
+0.0790003
+0.0783108
+0.0776769
+0.0770946
+0.0765665
+0.0760979
+0.0756898
+0.0753432
+0.075059
+0.0745828
+0.0731488
+0.0716548
+0.0701929
+0.0687697
+0.0673876
+0.0660494
+0.0647576
+0.0635149
+0.0623153
+0.0611704
+0.0600836
+0.0590581
+0.0580971
+0.0572038
+0.0563731
+0.0556084
+0.0549204
+0.0543122
+0.0537864
+0.0533345
+0.0529466
+0.0526286
+0.0523998
+0.0522619
+0.0522141
+0.0522419
+0.0518087
+0.0512836
+0.0508476
+0.0504863
+0.0502175
+0.0500432
+0.0499633
+0.0499619
+0.0500565
+0.0502445
+0.050502
+0.050514
+0.0502174
+0.0499941
+0.0498608
+0.0498055
+0.0498326
+0.049949
+0.0501101
+0.050343
+0.050603
+0.0509559
+0.0513999
+0.0518948
+0.05246
+0.053058
+0.0537269
+0.054449
+0.0551919
+0.0557734
+0.0562514
+0.0568099
+0.0574465
+0.0581587
+0.0589438
+0.0597989
+0.060717
+0.061691
+0.0627264
+0.0638182
+0.0649649
+0.0661642
+0.103598
+0.102188
+0.10066
+0.0991562
+0.0976787
+0.0962283
+0.0948063
+0.0934141
+0.092053
+0.0907244
+0.0894297
+0.0881704
+0.0869481
+0.0857643
+0.0846207
+0.0835189
+0.0824606
+0.0814475
+0.0804812
+0.0795636
+0.0786963
+0.0778809
+0.0771192
+0.0764127
+0.075763
+0.0751688
+0.0746271
+0.0741462
+0.0737273
+0.0733714
+0.0730795
+0.0728524
+0.0717709
+0.0702478
+0.0687608
+0.0673073
+0.0658946
+0.0645254
+0.0632025
+0.0619288
+0.0607052
+0.0595293
+0.058412
+0.0573566
+0.0563666
+0.0554455
+0.0545961
+0.0538061
+0.0530948
+0.0524654
+0.0519209
+0.0514568
+0.0510591
+0.0507323
+0.0504949
+0.0503518
+0.0503037
+0.0503382
+0.050111
+0.049568
+0.0491167
+0.0487466
+0.0484681
+0.0482875
+0.0482052
+0.0482038
+0.0483019
+0.0484988
+0.0487721
+0.0489993
+0.048703
+0.0484728
+0.0483367
+0.0482801
+0.0483081
+0.0484353
+0.048602
+0.0488343
+0.0491023
+0.049466
+0.0499232
+0.0504333
+0.0510156
+0.0516247
+0.0523055
+0.053048
+0.0537957
+0.0544669
+0.0549563
+0.0555278
+0.0561789
+0.0569071
+0.0577092
+0.0585813
+0.0595096
+0.0605031
+0.0615585
+0.0626707
+0.0638379
+0.065058
+0.10208
+0.100679
+0.0992387
+0.0977132
+0.0962135
+0.0947407
+0.0932961
+0.091881
+0.0904969
+0.089145
+0.087827
+0.0865444
+0.0852988
+0.0840918
+0.0829252
+0.0818005
+0.0807197
+0.0796845
+0.0786966
+0.0777579
+0.0768702
+0.0760353
+0.0752549
+0.0745307
+0.0738644
+0.0732576
+0.0727019
+0.0722082
+0.071778
+0.0714124
+0.0711125
+0.070879
+0.0704189
+0.0688816
+0.0673644
+0.0658852
+0.0644415
+0.0630407
+0.0616859
+0.0603803
+0.059127
+0.0579246
+0.0567757
+0.0556893
+0.0546691
+0.0537189
+0.0528425
+0.0520337
+0.0512978
+0.0506461
+0.0500818
+0.0496032
+0.0491963
+0.0488605
+0.048614
+0.0484654
+0.0484155
+0.0484587
+0.048453
+0.0478911
+0.0474239
+0.0470446
+0.046756
+0.0465687
+0.0464839
+0.0464824
+0.0465841
+0.0467882
+0.0470806
+0.0474461
+0.0472418
+0.0470043
+0.0468655
+0.0468076
+0.0468365
+0.0469677
+0.0471474
+0.0473789
+0.0476551
+0.0480297
+0.0485005
+0.0490261
+0.0496241
+0.0502393
+0.0509386
+0.0516987
+0.0524536
+0.0531861
+0.0537193
+0.0543038
+0.0549695
+0.0557134
+0.0565325
+0.0574126
+0.0583596
+0.0593722
+0.0604474
+0.0615796
+0.0627672
+0.0640077
+0.100586
+0.0991646
+0.0977714
+0.0962985
+0.0947764
+0.0932809
+0.0918133
+0.090375
+0.0889674
+0.087592
+0.0862503
+0.0849439
+0.0836744
+0.0824437
+0.0812533
+0.0801052
+0.0790012
+0.0779431
+0.0769329
+0.0759724
+0.0750636
+0.0742084
+0.0734085
+0.072666
+0.0719825
+0.0713596
+0.0707922
+0.0702851
+0.069843
+0.0694673
+0.0691589
+0.0689188
+0.0687477
+0.0675548
+0.0660112
+0.064501
+0.0630306
+0.0615982
+0.0602109
+0.0588726
+0.0575865
+0.0563562
+0.0551779
+0.0540593
+0.0530078
+0.0520273
+0.0511219
+0.0502942
+0.0495325
+0.0488572
+0.048272
+0.0477759
+0.0473605
+0.0470164
+0.0467602
+0.0466056
+0.0465537
+0.0465996
+0.0467335
+0.0462572
+0.0457733
+0.0453845
+0.0450853
+0.0448911
+0.0448033
+0.0448021
+0.0449075
+0.0451193
+0.0454318
+0.0458104
+0.0458335
+0.0455887
+0.0454484
+0.0453931
+0.0454229
+0.0455581
+0.0457515
+0.0459819
+0.0462664
+0.0466522
+0.0471367
+0.0476781
+0.0482837
+0.0489128
+0.0496308
+0.0504021
+0.0511678
+0.0519205
+0.0525439
+0.0531414
+0.0538214
+0.054581
+0.0554096
+0.056305
+0.0572702
+0.0583018
+0.0593963
+0.0605483
+0.0617557
+0.0630161
+0.0991184
+0.0976754
+0.0962607
+0.0948754
+0.0933685
+0.0918501
+0.0903593
+0.0888975
+0.0874661
+0.0860667
+0.0847008
+0.0833701
+0.0820764
+0.0808213
+0.0796067
+0.0784345
+0.0773066
+0.076225
+0.0751917
+0.0742087
+0.073278
+0.0724017
+0.0715816
+0.0708199
+0.0701184
+0.0694789
+0.0688992
+0.068378
+0.0679235
+0.0675371
+0.0672198
+0.0669728
+0.0667967
+0.0661859
+0.0646971
+0.0631624
+0.0616602
+0.0602002
+0.0587806
+0.0574089
+0.0560892
+0.0548254
+0.0536212
+0.0524703
+0.0513862
+0.0503741
+0.0494385
+0.0485837
+0.0478024
+0.0471023
+0.046495
+0.0459804
+0.0455486
+0.0452032
+0.0449366
+0.0447758
+0.0447218
+0.0447688
+0.0449082
+0.044671
+0.0441697
+0.0437712
+0.0434608
+0.0432593
+0.0431682
+0.0431675
+0.0432769
+0.0434966
+0.0438248
+0.0442228
+0.0444834
+0.0442312
+0.0440865
+0.0440421
+0.0440729
+0.0442123
+0.0444199
+0.0446486
+0.0449416
+0.0453387
+0.0458371
+0.0463942
+0.0470041
+0.0476502
+0.0483869
+0.0491689
+0.0499435
+0.0507142
+0.0514247
+0.052035
+0.0527294
+0.0535044
+0.0543494
+0.055262
+0.0562451
+0.0572952
+0.0584086
+0.0595796
+0.0608063
+0.062086
+0.0976718
+0.0962088
+0.0947721
+0.0933648
+0.0919881
+0.0904498
+0.0889355
+0.0874499
+0.0859944
+0.0845706
+0.0831802
+0.0818248
+0.0805062
+0.0792262
+0.0779868
+0.0767899
+0.0756375
+0.0745317
+0.0734745
+0.0724682
+0.0715149
+0.0706167
+0.0697757
+0.068994
+0.0682738
+0.0676168
+0.067021
+0.0664851
+0.0660176
+0.0656199
+0.0652934
+0.065039
+0.0648577
+0.06475
+0.0633417
+0.0618624
+0.0603381
+0.0588453
+0.0573974
+0.0559927
+0.0546388
+0.0533406
+0.0521022
+0.0509258
+0.0498082
+0.0487634
+0.0477962
+0.0469115
+0.0461115
+0.0453853
+0.0447547
+0.0442205
+0.0437714
+0.0434248
+0.0431473
+0.0429797
+0.0429234
+0.0429716
+0.0431169
+0.0431377
+0.0426184
+0.0422065
+0.0418879
+0.0416788
+0.0415842
+0.0415841
+0.0416977
+0.0419256
+0.042266
+0.0426885
+0.0431855
+0.0429426
+0.0427936
+0.0427532
+0.0427924
+0.042936
+0.0431584
+0.0433823
+0.0436838
+0.0440922
+0.0446045
+0.045172
+0.0457937
+0.0464566
+0.0472119
+0.0480035
+0.0487869
+0.0495693
+0.050376
+0.0509988
+0.0517071
+0.0524973
+0.0533582
+0.0542874
+0.0552879
+0.0563558
+0.0574874
+0.0586768
+0.0599219
+0.0612201
+0.0962517
+0.0947695
+0.0933107
+0.091881
+0.0904817
+0.0890813
+0.0875433
+0.0860337
+0.0845538
+0.0831054
+0.08169
+0.0803095
+0.0789656
+0.0776602
+0.0763954
+0.0751731
+0.0739956
+0.0728648
+0.0717832
+0.0707528
+0.069776
+0.0688551
+0.0679924
+0.06719
+0.0664501
+0.065775
+0.0651623
+0.064611
+0.0641298
+0.0637204
+0.0633841
+0.063122
+0.0629352
+0.0628242
+0.0620336
+0.0605225
+0.059054
+0.057542
+0.0560604
+0.0546265
+0.0532391
+0.0519059
+0.0506324
+0.0494232
+0.0482757
+0.047197
+0.046197
+0.0452811
+0.0444543
+0.0437107
+0.0430556
+0.0425006
+0.0420332
+0.0416758
+0.0413965
+0.0412218
+0.0411632
+0.0412126
+0.0413641
+0.0416304
+0.0411253
+0.0406984
+0.0403727
+0.0401557
+0.0400575
+0.0400579
+0.0401759
+0.0404124
+0.0407654
+0.0412001
+0.0417212
+0.0417293
+0.0415759
+0.0415344
+0.0415789
+0.0417267
+0.0419643
+0.0421816
+0.0424916
+0.0429114
+0.0434376
+0.044021
+0.0446579
+0.0453374
+0.0461111
+0.0469013
+0.047703
+0.0484965
+0.0493285
+0.0500372
+0.0507588
+0.0515635
+0.0524398
+0.053385
+0.0544021
+0.0554871
+0.056636
+0.0578429
+0.0591056
+0.0604213
+0.094861
+0.0933593
+0.0918783
+0.0904259
+0.0890037
+0.0876133
+0.0861811
+0.0846493
+0.083146
+0.0816726
+0.080232
+0.0788259
+0.0774563
+0.076125
+0.0748343
+0.0735861
+0.0723827
+0.0712264
+0.0701194
+0.0690643
+0.0680633
+0.0671189
+0.0662335
+0.0654095
+0.0646493
+0.0639552
+0.0633249
+0.0627574
+0.0622619
+0.0618401
+0.0614935
+0.0612234
+0.0610307
+0.0609163
+0.0607764
+0.0592332
+0.0577319
+0.0562758
+0.0547785
+0.0533101
+0.0518926
+0.0505254
+0.0492162
+0.0479713
+0.0467882
+0.0456744
+0.0446404
+0.0436918
+0.0428343
+0.0420735
+0.041399
+0.0408243
+0.0403391
+0.0399665
+0.0396895
+0.0395073
+0.039446
+0.0394968
+0.0396548
+0.0399325
+0.0396971
+0.0392545
+0.0389218
+0.0386967
+0.0385948
+0.0385959
+0.0387183
+0.0389636
+0.0393275
+0.0397748
+0.0403229
+0.0405879
+0.0404404
+0.0403976
+0.0404435
+0.0405953
+0.0408396
+0.0410628
+0.0413812
+0.0418121
+0.042352
+0.0429501
+0.0436027
+0.0442984
+0.0450899
+0.0458768
+0.0466967
+0.0474995
+0.0483422
+0.0491544
+0.0498888
+0.0507073
+0.0515981
+0.0525585
+0.0535912
+0.0546923
+0.0558576
+0.057081
+0.0583601
+0.0596923
+0.0934925
+0.0919714
+0.0904762
+0.089001
+0.0875557
+0.0861418
+0.0847611
+0.083292
+0.0817649
+0.0802686
+0.0788047
+0.077375
+0.0759802
+0.0746226
+0.0733054
+0.0720307
+0.0708009
+0.0696183
+0.0684854
+0.0674047
+0.0663786
+0.0654099
+0.0645011
+0.0636547
+0.0628733
+0.0621593
+0.0615106
+0.0609262
+0.0604157
+0.0599809
+0.0596235
+0.0593449
+0.0591461
+0.059028
+0.0589911
+0.057998
+0.0564639
+0.0549743
+0.0535328
+0.0520526
+0.0505999
+0.0492019
+0.0478584
+0.0465772
+0.0453578
+0.044208
+0.0431388
+0.0421564
+0.0412671
+0.0404768
+0.0397783
+0.0391806
+0.0386949
+0.0383063
+0.038032
+0.0378418
+0.0377779
+0.0378301
+0.037995
+0.0382847
+0.0383408
+0.0378825
+0.0375427
+0.0373093
+0.0372036
+0.0372054
+0.0373323
+0.0375867
+0.0379583
+0.0384215
+0.0389918
+0.0395219
+0.039394
+0.0393501
+0.0393972
+0.039553
+0.0398037
+0.0400327
+0.0403592
+0.0408009
+0.041354
+0.0419664
+0.0426341
+0.0433453
+0.0441501
+0.0449358
+0.0457732
+0.046572
+0.0474312
+0.0483548
+0.0491011
+0.0499326
+0.050837
+0.0518115
+0.0528588
+0.0539748
+0.0551552
+0.0563939
+0.0576883
+0.0590356
+0.0921542
+0.0906106
+0.0890942
+0.0876044
+0.086139
+0.0847015
+0.0832968
+0.0819267
+0.0804184
+0.0788966
+0.0774068
+0.075951
+0.0745311
+0.0731494
+0.0718078
+0.0705085
+0.0692523
+0.0680428
+0.0668832
+0.0657761
+0.0647243
+0.0637304
+0.0627973
+0.0619276
+0.0611241
+0.0603894
+0.0597215
+0.0591195
+0.0585933
+0.0581448
+0.0577761
+0.0574885
+0.0572832
+0.0571613
+0.0571232
+0.0568153
+0.0552537
+0.0537305
+0.0522548
+0.0508306
+0.0493706
+0.0479368
+0.0465619
+0.0452463
+0.04399
+0.0428034
+0.0416983
+0.0406811
+0.0397588
+0.038938
+0.0382113
+0.0375927
+0.0370884
+0.0367018
+0.036424
+0.0362324
+0.0361656
+0.0362192
+0.0363914
+0.0366938
+0.0370645
+0.0365902
+0.0362423
+0.0360018
+0.0358923
+0.0358948
+0.0360264
+0.03629
+0.036669
+0.0371483
+0.0377378
+0.0384201
+0.0384334
+0.0383991
+0.0384473
+0.038607
+0.0388638
+0.0390983
+0.0394325
+0.0398845
+0.0404403
+0.041075
+0.041758
+0.0424839
+0.0432832
+0.0440837
+0.0449191
+0.0457307
+0.0466054
+0.0475551
+0.0483999
+0.0492432
+0.05016
+0.0511474
+0.0522081
+0.0533377
+0.0545319
+0.0557844
+0.0570926
+0.0584537
+0.090849
+0.0892829
+0.0877435
+0.0862304
+0.084745
+0.0832906
+0.081865
+0.0804705
+0.0791086
+0.0775622
+0.0760463
+0.0745639
+0.0731171
+0.0717081
+0.0703391
+0.0690125
+0.0677308
+0.0664965
+0.0653124
+0.0641806
+0.0631026
+0.0620828
+0.0611245
+0.0602307
+0.0594043
+0.058648
+0.0579551
+0.0573345
+0.0567917
+0.056329
+0.0559482
+0.0556512
+0.0554392
+0.0553132
+0.0552738
+0.0553212
+0.0540964
+0.0525486
+0.0510387
+0.0495797
+0.0481697
+0.0467401
+0.045329
+0.0439817
+0.0426909
+0.0414671
+0.0403254
+0.0392727
+0.0383164
+0.0374641
+0.0367082
+0.036068
+0.0355421
+0.0351452
+0.0348705
+0.0346866
+0.0346169
+0.0346719
+0.0348517
+0.0351674
+0.0356153
+0.0353864
+0.0350266
+0.0347796
+0.0346662
+0.0346733
+0.0348094
+0.035082
+0.0354682
+0.0359635
+0.0365721
+0.0372758
+0.0375623
+0.037532
+0.0376013
+0.0377646
+0.0380194
+0.0382666
+0.0386081
+0.0390594
+0.0396134
+0.0402614
+0.040966
+0.0417049
+0.0425112
+0.0433207
+0.0441551
+0.0449804
+0.0458695
+0.0468341
+0.0477889
+0.0486428
+0.0495707
+0.0505696
+0.0516421
+0.0527838
+0.0539903
+0.0552551
+0.0565756
+0.0579488
+0.0895784
+0.0879897
+0.0864272
+0.0848907
+0.0833814
+0.0819028
+0.0804568
+0.079045
+0.0776649
+0.0762658
+0.0747252
+0.0732161
+0.0717421
+0.0703056
+0.0689087
+0.067554
+0.0662441
+0.0649816
+0.0637694
+0.0626104
+0.0615076
+0.0604642
+0.0594831
+0.0585663
+0.0577163
+0.0569353
+0.0562182
+0.0555783
+0.0550181
+0.0545403
+0.054147
+0.05384
+0.0536208
+0.0534905
+0.0534498
+0.0534988
+0.0529997
+0.0514203
+0.0498871
+0.0483957
+0.0469501
+0.0455623
+0.0441704
+0.0427866
+0.0414669
+0.0402059
+0.0390272
+0.0379385
+0.0369478
+0.036063
+0.0352772
+0.0346118
+0.0340666
+0.0336522
+0.0333768
+0.0332101
+0.0331373
+0.0331971
+0.0333849
+0.0337144
+0.0341813
+0.0342805
+0.033909
+0.0336541
+0.0335369
+0.0335504
+0.0336911
+0.0339674
+0.0343653
+0.0348763
+0.0355035
+0.0362279
+0.0368012
+0.0367703
+0.0368575
+0.0370303
+0.0372676
+0.0375306
+0.0378787
+0.038328
+0.0388924
+0.039552
+0.0402692
+0.0410216
+0.0418201
+0.0426406
+0.0434882
+0.0443258
+0.0452278
+0.0462058
+0.0472254
+0.0481347
+0.0490722
+0.050081
+0.0511638
+0.052316
+0.053533
+0.0548083
+0.0561393
+0.0575229
+0.0883439
+0.0867325
+0.085147
+0.083587
+0.0820536
+0.0805507
+0.0790799
+0.0776431
+0.0762421
+0.0748791
+0.0734437
+0.0719098
+0.0704085
+0.0689441
+0.0675191
+0.0661359
+0.0647973
+0.0635061
+0.0622652
+0.0610777
+0.0599467
+0.0588756
+0.0578676
+0.0569261
+0.0560544
+0.0552532
+0.054514
+0.0538538
+0.0532756
+0.052782
+0.0523755
+0.052058
+0.0518313
+0.0516965
+0.0516544
+0.0517051
+0.0518484
+0.0503607
+0.0487942
+0.0472774
+0.0458029
+0.0443792
+0.0430201
+0.0416646
+0.0403139
+0.0390269
+0.0378115
+0.0366867
+0.0356612
+0.0347438
+0.0339273
+0.033235
+0.0326714
+0.0322391
+0.0319515
+0.0318018
+0.0317257
+0.0318008
+0.032001
+0.0323445
+0.0328298
+0.0332823
+0.0328994
+0.032637
+0.0325161
+0.0325304
+0.0326756
+0.03296
+0.0333699
+0.0338959
+0.0345409
+0.0352851
+0.0361359
+0.0361255
+0.0362142
+0.0363901
+0.0366316
+0.0368991
+0.0372531
+0.0377098
+0.0382834
+0.0389531
+0.0396813
+0.0404452
+0.0412318
+0.0420638
+0.0429228
+0.0437712
+0.0446844
+0.045674
+0.0467053
+0.0477218
+0.0486673
+0.0496843
+0.0507756
+0.0519364
+0.0531621
+0.0544461
+0.0557857
+0.0571779
+0.0871469
+0.085513
+0.0839044
+0.0823209
+0.0807635
+0.0792361
+0.0777405
+0.0762784
+0.0748519
+0.073463
+0.072114
+0.0706447
+0.0691182
+0.0676262
+0.0661728
+0.0647609
+0.0633933
+0.0620729
+0.0608027
+0.0595861
+0.0584262
+0.0573267
+0.056291
+0.0553226
+0.0544253
+0.0536025
+0.0528457
+0.0521644
+0.0515672
+0.0510571
+0.0506367
+0.0503083
+0.0500737
+0.0499341
+0.0498905
+0.049943
+0.0500913
+0.0493719
+0.047773
+0.0462227
+0.044726
+0.0432748
+0.0418798
+0.0405553
+0.0392369
+0.0379263
+0.0366797
+0.0355192
+0.0344589
+0.0335085
+0.0326688
+0.0319491
+0.0313663
+0.0309168
+0.0306168
+0.0304717
+0.0304067
+0.0304849
+0.0307074
+0.0310652
+0.0315623
+0.0321811
+0.0320082
+0.0317388
+0.0316144
+0.0316292
+0.0317784
+0.0320708
+0.0324919
+0.0330319
+0.0336935
+0.034456
+0.0353267
+0.0355954
+0.0356854
+0.0358725
+0.0361076
+0.0363888
+0.0367477
+0.0372106
+0.0377917
+0.0384699
+0.0392072
+0.0399805
+0.0407529
+0.0415945
+0.042463
+0.0433204
+0.0442371
+0.0452333
+0.046283
+0.0473598
+0.0483583
+0.0493817
+0.0504795
+0.051647
+0.0528794
+0.0541701
+0.0555164
+0.0569151
+0.0859891
+0.0843327
+0.0827013
+0.0810942
+0.0795128
+0.0779609
+0.0764403
+0.0749529
+0.0735007
+0.0720858
+0.0707105
+0.0693771
+0.0678718
+0.0663538
+0.0648727
+0.0634318
+0.0620349
+0.0606849
+0.0593851
+0.0581388
+0.0569495
+0.0558208
+0.0547566
+0.0537607
+0.0528368
+0.0519889
+0.0512167
+0.0505135
+0.0498965
+0.0493692
+0.0489343
+0.0485944
+0.0483514
+0.0482069
+0.0481617
+0.0482161
+0.0483697
+0.0483352
+0.0468315
+0.045249
+0.0437189
+0.0422471
+0.0408253
+0.0394654
+0.0381828
+0.0369098
+0.0356428
+0.0344473
+0.033353
+0.0323702
+0.0315093
+0.0307657
+0.03016
+0.0296974
+0.0293849
+0.0292337
+0.0291926
+0.029274
+0.0295056
+0.0298779
+0.0303994
+0.0310414
+0.0312454
+0.0309697
+0.0308423
+0.0308574
+0.0310103
+0.0313099
+0.0317411
+0.0322936
+0.03297
+0.0337489
+0.0346374
+0.0351902
+0.0352813
+0.0354649
+0.0356944
+0.0359854
+0.0363674
+0.0368351
+0.037422
+0.0381066
+0.038851
+0.0396313
+0.0403873
+0.0412364
+0.0421123
+0.0429742
+0.0438898
+0.0448937
+0.0459615
+0.0470456
+0.0481373
+0.049175
+0.0502773
+0.0514493
+0.0526864
+0.0539817
+0.0553325
+0.0567358
+0.0848721
+0.0831935
+0.0815392
+0.0799087
+0.0783034
+0.0767271
+0.0751815
+0.0736687
+0.0721906
+0.0707496
+0.0693477
+0.0679876
+0.0666718
+0.0651281
+0.0636201
+0.0621515
+0.0607251
+0.0593454
+0.0580155
+0.0567391
+0.0555199
+0.0543616
+0.0532682
+0.0522439
+0.0512927
+0.0504188
+0.0496263
+0.0489019
+0.0482644
+0.047719
+0.047269
+0.046917
+0.0466653
+0.0465155
+0.0464687
+0.046525
+0.0466843
+0.0465944
+0.0459752
+0.0443621
+0.0428003
+0.0412958
+0.0398549
+0.0384695
+0.0371526
+0.035921
+0.0347034
+0.0334847
+0.0323578
+0.0313438
+0.0304539
+0.029697
+0.029069
+0.0285899
+0.0282652
+0.028108
+0.0280835
+0.0281817
+0.0284222
+0.0288084
+0.029351
+0.0300155
+0.0306206
+0.0303396
+0.0302095
+0.030225
+0.0303811
+0.0306868
+0.0311266
+0.0316899
+0.0323789
+0.0331716
+0.0340752
+0.0344328
+0.0344976
+0.0346755
+0.03499
+0.0354373
+0.0360125
+0.0365871
+0.037178
+0.0378464
+0.0386159
+0.0393786
+0.0401381
+0.0409924
+0.0418593
+0.0427284
+0.0436498
+0.0446592
+0.0457319
+0.0468319
+0.0479584
+0.049052
+0.0501699
+0.0513444
+0.0525839
+0.0538817
+0.055235
+0.0566407
+0.0837974
+0.0820968
+0.08042
+0.0787664
+0.0771373
+0.0755366
+0.0739662
+0.072428
+0.0709241
+0.0694567
+0.0680283
+0.0666412
+0.0652983
+0.063954
+0.0624177
+0.0609204
+0.0594645
+0.0580548
+0.0566947
+0.0553878
+0.0541381
+0.0529496
+0.0518265
+0.0507731
+0.0497938
+0.0488931
+0.0480754
+0.047327
+0.0466679
+0.0461037
+0.0456377
+0.045273
+0.0450122
+0.0448569
+0.0448083
+0.0448667
+0.0450318
+0.044893
+0.0447134
+0.0435645
+0.0419761
+0.0404409
+0.0389684
+0.037566
+0.0362256
+0.0349615
+0.0337921
+0.0326409
+0.0314839
+0.0304407
+0.0295236
+0.0287444
+0.0281067
+0.0276109
+0.0272745
+0.0271116
+0.0270862
+0.0272059
+0.0274683
+0.0278704
+0.0284309
+0.0291164
+0.0299468
+0.0298574
+0.0297252
+0.0297408
+0.0298995
+0.0302101
+0.0306568
+0.0312285
+0.0319275
+0.0327311
+0.0336449
+0.0336795
+0.0337457
+0.0339276
+0.0342489
+0.0347058
+0.0352929
+0.035997
+0.0367998
+0.0377081
+0.0384831
+0.0392454
+0.0400075
+0.0408645
+0.0417119
+0.0425848
+0.043519
+0.0445313
+0.045597
+0.04672
+0.0478492
+0.0490167
+0.0501417
+0.0513256
+0.0525654
+0.0538627
+0.0552165
+0.0566227
+0.0827668
+0.0810446
+0.0793455
+0.077669
+0.0760164
+0.0743917
+0.0727965
+0.0712331
+0.0697034
+0.0682098
+0.0667547
+0.0653406
+0.0639703
+0.0626466
+0.06127
+0.0597439
+0.0582586
+0.056819
+0.0554286
+0.0540912
+0.0528108
+0.0515917
+0.0504383
+0.0493553
+0.0483473
+0.0474192
+0.0465756
+0.0458027
+0.0451214
+0.0445375
+0.044055
+0.0436771
+0.0434066
+0.0432456
+0.0431952
+0.0432558
+0.043427
+0.0432356
+0.0430491
+0.0428455
+0.0412407
+0.0396887
+0.0381872
+0.036755
+0.0354005
+0.0341158
+0.0329164
+0.0318229
+0.0307414
+0.0296722
+0.0287305
+0.0279293
+0.0272809
+0.0267757
+0.0264287
+0.0262605
+0.0262343
+0.0263593
+0.0266307
+0.0270764
+0.0276284
+0.0283333
+0.029186
+0.0295268
+0.0293965
+0.0294123
+0.0295727
+0.0298868
+0.0303382
+0.0309158
+0.0316217
+0.0324329
+0.0331305
+0.0330544
+0.033122
+0.0333072
+0.0336344
+0.0340995
+0.0346897
+0.0353867
+0.036203
+0.0371308
+0.038162
+0.0392185
+0.0399894
+0.0408467
+0.0416793
+0.0425528
+0.0434911
+0.044502
+0.0455671
+0.0467029
+0.0478365
+0.0490089
+0.0502029
+0.0513895
+0.0526277
+0.0539236
+0.0552758
+0.0566805
+0.0817819
+0.0800385
+0.0783176
+0.0766186
+0.0749429
+0.0732943
+0.0716748
+0.0700863
+0.068531
+0.0670113
+0.0655295
+0.0640884
+0.0626908
+0.0613395
+0.0600378
+0.0586257
+0.0571114
+0.055642
+0.0542215
+0.0528535
+0.0515424
+0.0502926
+0.0491087
+0.0479957
+0.0469585
+0.0460024
+0.0451323
+0.0443342
+0.04363
+0.0430259
+0.0425262
+0.0421347
+0.0418542
+0.0416872
+0.0416349
+0.0416978
+0.0418754
+0.0416276
+0.0414339
+0.041348
+0.0405989
+0.0390248
+0.0375126
+0.036059
+0.0346774
+0.0333824
+0.0321663
+0.0310463
+0.0300446
+0.029039
+0.0280761
+0.0272556
+0.0265908
+0.0260806
+0.0257243
+0.0255514
+0.0255424
+0.0256715
+0.0259515
+0.0264087
+0.0269723
+0.0276939
+0.0285656
+0.0292582
+0.0292254
+0.0292447
+0.029406
+0.0297218
+0.0301757
+0.0307563
+0.0314658
+0.0322596
+0.0326422
+0.032565
+0.0326124
+0.0328005
+0.0331328
+0.0336048
+0.0341967
+0.0349035
+0.0357308
+0.0366706
+0.0377143
+0.0388536
+0.0400753
+0.0409308
+0.0417617
+0.0426335
+0.0435686
+0.0445792
+0.0456424
+0.0467764
+0.0479084
+0.0490907
+0.0502944
+0.0515464
+0.052781
+0.0540731
+0.0554218
+0.0568229
+0.0808444
+0.0790803
+0.0773381
+0.0756171
+0.0739187
+0.0722467
+0.0706031
+0.06899
+0.0674094
+0.0658638
+0.0643557
+0.0628877
+0.0614627
+0.0600839
+0.0587543
+0.0574776
+0.0560262
+0.0545277
+0.0530773
+0.0516791
+0.0503374
+0.0490569
+0.0478425
+0.0466993
+0.0456327
+0.0446482
+0.0437512
+0.0429274
+0.0421997
+0.0415749
+0.0410575
+0.0406518
+0.0403611
+0.0401878
+0.0401336
+0.0401988
+0.040383
+0.0400749
+0.0398736
+0.0397892
+0.0398049
+0.0384707
+0.0369359
+0.0354678
+0.0340622
+0.0327429
+0.0315208
+0.03039
+0.0293659
+0.0284737
+0.0275714
+0.0267355
+0.0260573
+0.0255365
+0.0251725
+0.0249958
+0.0250105
+0.0251557
+0.0254433
+0.0258904
+0.0264606
+0.0271957
+0.0279011
+0.0285071
+0.0291718
+0.0292406
+0.029402
+0.0297178
+0.0301717
+0.0307525
+0.0314395
+0.0322271
+0.0322781
+0.0321946
+0.0322366
+0.032427
+0.032763
+0.0332403
+0.0338385
+0.0345526
+0.0353882
+0.0363368
+0.0373898
+0.0385387
+0.0397752
+0.0410774
+0.0419585
+0.0428263
+0.0437559
+0.0447628
+0.0458225
+0.0469521
+0.0480801
+0.0492583
+0.0504762
+0.0517308
+0.0530244
+0.0543108
+0.0556537
+0.0570491
+0.0799559
+0.0781718
+0.0764088
+0.0746665
+0.0729459
+0.0712511
+0.069584
+0.0679467
+0.0663413
+0.0647702
+0.0632359
+0.0617413
+0.0602893
+0.0588829
+0.0575257
+0.056221
+0.0549728
+0.0534661
+0.0519862
+0.0505579
+0.0491857
+0.0478745
+0.0466294
+0.0454558
+0.0443594
+0.0433461
+0.0424218
+0.0415847
+0.0408331
+0.040187
+0.0396515
+0.0392312
+0.0389299
+0.0387503
+0.038694
+0.0387617
+0.0389156
+0.0385841
+0.038375
+0.0382903
+0.0383086
+0.0379632
+0.0364573
+0.0349948
+0.0335693
+0.0322299
+0.0309876
+0.0298545
+0.0288249
+0.0279155
+0.0271527
+0.0263875
+0.0257002
+0.025172
+0.0248026
+0.0246233
+0.0246382
+0.0247555
+0.0250439
+0.0255162
+0.0260233
+0.0266955
+0.0272632
+0.0278992
+0.0285896
+0.0292612
+0.0295608
+0.0298749
+0.0303265
+0.0309043
+0.0315586
+0.0322759
+0.0320484
+0.0319644
+0.0320067
+0.0321984
+0.0325368
+0.0330173
+0.0336195
+0.0343382
+0.0351789
+0.036133
+0.0371918
+0.0383466
+0.0395891
+0.0408972
+0.042268
+0.0431296
+0.0440514
+0.0450517
+0.0461061
+0.0472243
+0.0483506
+0.0495223
+0.0507521
+0.052
+0.0533088
+0.0546318
+0.0559669
+0.0573547
+0.0791181
+0.0773147
+0.0755317
+0.0737686
+0.0720266
+0.0703097
+0.0686197
+0.0669588
+0.0653291
+0.0637331
+0.0621733
+0.0606525
+0.0591737
+0.0577402
+0.0563554
+0.055023
+0.0537469
+0.0524729
+0.0509641
+0.0495063
+0.0481042
+0.0467626
+0.0454871
+0.0442832
+0.0431571
+0.0421148
+0.0411629
+0.0403076
+0.0395395
+0.0388719
+0.0383181
+0.037883
+0.0375709
+0.0373847
+0.0373264
+0.0373965
+0.0375068
+0.0371627
+0.0369456
+0.0368576
+0.0368808
+0.0370276
+0.036022
+0.0345657
+0.0331902
+0.0318595
+0.0306022
+0.0294543
+0.0284291
+0.0275207
+0.0267468
+0.026134
+0.0255044
+0.0249854
+0.0246228
+0.0244421
+0.0244403
+0.0245376
+0.0248269
+0.0251577
+0.0256718
+0.0263019
+0.0267897
+0.0274367
+0.0281663
+0.0288477
+0.0296754
+0.0301813
+0.0306375
+0.031185
+0.0317757
+0.0321957
+0.0319676
+0.0318834
+0.0319258
+0.032118
+0.0324572
+0.0329389
+0.0335425
+0.0342628
+0.0351053
+0.0360613
+0.0371222
+0.0382791
+0.0395136
+0.0408204
+0.0422005
+0.0435412
+0.0444531
+0.0454445
+0.0464912
+0.0475901
+0.0487182
+0.0498813
+0.0511117
+0.0523595
+0.0536596
+0.0550055
+0.0563506
+0.0577292
+0.0783315
+0.0765096
+0.0747074
+0.0729256
+0.0711629
+0.0694246
+0.0677126
+0.0660288
+0.0643756
+0.0627553
+0.0611706
+0.0596242
+0.0581193
+0.0566591
+0.0552473
+0.0538875
+0.0525839
+0.0513406
+0.0500171
+0.0485309
+0.0470997
+0.0457287
+0.0444235
+0.04319
+0.0420346
+0.0409638
+0.0399844
+0.0391034
+0.0383275
+0.0376385
+0.0370662
+0.0366163
+0.0362933
+0.0361005
+0.0360401
+0.0361127
+0.0361679
+0.035811
+0.0355857
+0.0354943
+0.0355265
+0.0356789
+0.0356523
+0.0341927
+0.0328069
+0.0315073
+0.0303091
+0.0292132
+0.0281794
+0.0272825
+0.0265161
+0.0258979
+0.0254538
+0.0249625
+0.0246277
+0.0244567
+0.0243927
+0.0244425
+0.0246217
+0.0249868
+0.0255044
+0.0259961
+0.0264895
+0.0271436
+0.0278849
+0.0285964
+0.0294086
+0.0303221
+0.0308304
+0.0313264
+0.031894
+0.0322643
+0.0320368
+0.0319527
+0.0319951
+0.0321868
+0.0325253
+0.033006
+0.0336084
+0.0343274
+0.0351683
+0.0361227
+0.0371818
+0.0383211
+0.0395461
+0.0408518
+0.0422309
+0.0436764
+0.044958
+0.0459386
+0.0469731
+0.048053
+0.0491704
+0.0503331
+0.0515527
+0.0528073
+0.0540962
+0.0554323
+0.0568073
+0.0581838
+0.0775907
+0.0757509
+0.0739303
+0.0721302
+0.0703523
+0.0685981
+0.0668649
+0.0651593
+0.0634834
+0.0618398
+0.0602309
+0.0586598
+0.0571295
+0.0556434
+0.0542051
+0.0528184
+0.0514877
+0.0502174
+0.049012
+0.0476364
+0.0461774
+0.0447782
+0.0434445
+0.0421823
+0.0409985
+0.0398999
+0.0388938
+0.0379875
+0.0371883
+0.0364875
+0.0358969
+0.0354321
+0.0350982
+0.0348988
+0.0348364
+0.0349115
+0.0349024
+0.0345324
+0.0342987
+0.0342039
+0.0342492
+0.0344168
+0.0347126
+0.0339339
+0.0325399
+0.031236
+0.0300355
+0.0289332
+0.0279554
+0.0271117
+0.0263961
+0.025846
+0.025401
+0.0251306
+0.024798
+0.0245401
+0.0244033
+0.0244255
+0.0246049
+0.0249759
+0.0255012
+0.0258727
+0.0263684
+0.0270255
+0.0277699
+0.0284934
+0.0292997
+0.0302164
+0.0310271
+0.03152
+0.0321129
+0.0324809
+0.0322549
+0.0321714
+0.0322135
+0.0324039
+0.0327402
+0.0332178
+0.033804
+0.0345189
+0.0353553
+0.0363047
+0.0373482
+0.0384796
+0.0396996
+0.0410005
+0.0423747
+0.0438155
+0.0453164
+0.046517
+0.047534
+0.0486102
+0.0497153
+0.0508753
+0.0520822
+0.053325
+0.0546013
+0.0559344
+0.0573066
+0.0587038
+0.0769051
+0.0750485
+0.0732104
+0.0713922
+0.0695955
+0.0678219
+0.0660734
+0.0643519
+0.0626552
+0.0609892
+0.0593573
+0.0577624
+0.0562077
+0.0546965
+0.0532326
+0.05182
+0.050463
+0.0491661
+0.0479344
+0.0467728
+0.0453423
+0.0439165
+0.0425557
+0.0412664
+0.0400554
+0.0389301
+0.0378981
+0.0369673
+0.0361454
+0.0354219
+0.0348132
+0.0343338
+0.033989
+0.0337831
+0.0337186
+0.0337962
+0.0337318
+0.0333489
+0.0331067
+0.0330085
+0.0330555
+0.0332471
+0.0335574
+0.0337808
+0.0323947
+0.0310942
+0.0298978
+0.0287957
+0.027813
+0.0269728
+0.0262806
+0.025729
+0.0252458
+0.024944
+0.0247988
+0.0247181
+0.0245824
+0.0246044
+0.0247825
+0.0251508
+0.0255427
+0.0259125
+0.026429
+0.0270847
+0.0278275
+0.0285496
+0.0293542
+0.0302693
+0.0312482
+0.0316852
+0.0322306
+0.0325921
+0.0325674
+0.0325106
+0.0325522
+0.0327407
+0.0330735
+0.0335445
+0.0341244
+0.0348327
+0.0356617
+0.0366033
+0.0376385
+0.0387613
+0.0399728
+0.0412651
+0.0426308
+0.0440632
+0.0455559
+0.0471032
+0.0481881
+0.0492519
+0.0503496
+0.051505
+0.0526951
+0.0539261
+0.0551885
+0.0565077
+0.0578738
+0.0592796
+0.0762763
+0.074404
+0.0725496
+0.0707144
+0.0689
+0.0671081
+0.0653404
+0.0635991
+0.0618864
+0.0602046
+0.0585527
+0.0569352
+0.0553573
+0.0538222
+0.0523339
+0.0508963
+0.049514
+0.0481916
+0.0469343
+0.0457474
+0.0445765
+0.0431252
+0.0417386
+0.0404231
+0.0391861
+0.038035
+0.0369781
+0.0360235
+0.0351796
+0.0344545
+0.0338367
+0.0333433
+0.0329882
+0.032776
+0.0327095
+0.0327895
+0.0326664
+0.0322708
+0.0320205
+0.0319189
+0.0319675
+0.0321656
+0.0324942
+0.0329533
+0.0323002
+0.031017
+0.0298179
+0.0287343
+0.027751
+0.0269089
+0.0262024
+0.0256491
+0.0251682
+0.0248671
+0.0247312
+0.0246978
+0.0247628
+0.0249334
+0.0251503
+0.0254467
+0.025756
+0.0261227
+0.0266545
+0.0273199
+0.0280565
+0.0287728
+0.0295715
+0.03048
+0.0314524
+0.0319446
+0.0324857
+0.0328162
+0.0326782
+0.0326295
+0.0327192
+0.032935
+0.0332938
+0.0337911
+0.034419
+0.0351589
+0.0360118
+0.0369695
+0.0380295
+0.0391638
+0.0403632
+0.0416433
+0.0429971
+0.0444176
+0.0458988
+0.047435
+0.0489315
+0.0499795
+0.05107
+0.0522148
+0.0533865
+0.0546076
+0.0558555
+0.0571593
+0.0585141
+0.0599048
+0.0757056
+0.073819
+0.0719495
+0.0700986
+0.0682678
+0.0664588
+0.0646734
+0.0629136
+0.0611817
+0.05948
+0.0578113
+0.0561784
+0.0545816
+0.0530241
+0.0515127
+0.0500515
+0.0486452
+0.0472985
+0.0460168
+0.0448056
+0.0436623
+0.0424323
+0.0410222
+0.039683
+0.0384221
+0.0372475
+0.0361675
+0.035191
+0.0343266
+0.0335831
+0.032951
+0.032444
+0.032079
+0.0318608
+0.0317923
+0.0318746
+0.0317166
+0.031309
+0.031051
+0.0309463
+0.0309964
+0.0312006
+0.0315393
+0.0320121
+0.0323021
+0.0310276
+0.0298376
+0.0287561
+0.0278054
+0.02698
+0.0262755
+0.0257237
+0.0252809
+0.0249812
+0.0248459
+0.02485
+0.0249394
+0.0251581
+0.025481
+0.0258112
+0.0261517
+0.0265129
+0.027037
+0.0277013
+0.0284529
+0.0291595
+0.0299478
+0.0308452
+0.0317906
+0.0323507
+0.0328851
+0.0331281
+0.0329347
+0.0328864
+0.0329754
+0.0331895
+0.0335456
+0.0340257
+0.0346358
+0.0353712
+0.0362191
+0.0371714
+0.0382258
+0.0393739
+0.0406078
+0.04192
+0.0433019
+0.04473
+0.0462175
+0.0477591
+0.0493498
+0.0507913
+0.0518657
+0.0529957
+0.0541541
+0.0553618
+0.0565995
+0.0578865
+0.0592246
+0.0605991
+0.0751919
+0.0732923
+0.0714094
+0.0695446
+0.0676993
+0.0658751
+0.0640739
+0.0622976
+0.0605482
+0.0588282
+0.0571404
+0.0554878
+0.0538736
+0.0523013
+0.0507728
+0.0492897
+0.047861
+0.0464916
+0.0451844
+0.0439368
+0.0427652
+0.0416759
+0.040412
+0.0390519
+0.0377699
+0.0365744
+0.0354739
+0.0344777
+0.033595
+0.032835
+0.0321877
+0.0316685
+0.0312944
+0.0310707
+0.0310005
+0.0310849
+0.0308933
+0.0304747
+0.0302095
+0.0301019
+0.0301534
+0.0303633
+0.0307113
+0.0311966
+0.0318257
+0.0311775
+0.0299844
+0.0289084
+0.0279629
+0.0271616
+0.0265003
+0.0259533
+0.0255537
+0.0252853
+0.0251517
+0.0251926
+0.0252808
+0.0255571
+0.0258986
+0.0263533
+0.0267109
+0.0270753
+0.0275887
+0.0282401
+0.0290001
+0.029703
+0.0304773
+0.0313596
+0.0321747
+0.0328979
+0.0333622
+0.0335246
+0.0333335
+0.0332857
+0.0333566
+0.0335683
+0.0339121
+0.0343849
+0.0349887
+0.0357168
+0.0365567
+0.0375005
+0.0385458
+0.0396847
+0.0409092
+0.042212
+0.0435847
+0.0450038
+0.0464825
+0.0480156
+0.0495981
+0.0512255
+0.0527395
+0.0538512
+0.0549916
+0.0561897
+0.0574174
+0.0586865
+0.0600068
+0.0613638
+0.0747389
+0.0728275
+0.0709323
+0.0690545
+0.0671957
+0.0653575
+0.0635416
+0.0617501
+0.059985
+0.0582489
+0.0565443
+0.0548743
+0.053242
+0.0516511
+0.0501054
+0.0486089
+0.0471656
+0.0457654
+0.0444263
+0.0431569
+0.0419635
+0.0408528
+0.0398317
+0.0385351
+0.0372354
+0.0360221
+0.0349043
+0.0338913
+0.0329929
+0.0322187
+0.0315582
+0.0310286
+0.0306467
+0.0304181
+0.0303464
+0.0304327
+0.0302067
+0.0297784
+0.029507
+0.0293968
+0.0294496
+0.0296645
+0.0300205
+0.0305168
+0.0311596
+0.031464
+0.0302894
+0.0292246
+0.0282897
+0.0274979
+0.0268618
+0.0263228
+0.0259575
+0.0257091
+0.0256388
+0.0256801
+0.0258042
+0.026075
+0.026322
+0.0266342
+0.0271204
+0.0276492
+0.0282608
+0.0288784
+0.0295753
+0.0303696
+0.0311522
+0.0317872
+0.0323222
+0.0329942
+0.0337331
+0.0339784
+0.0338592
+0.0337848
+0.0338523
+0.0340608
+0.0344079
+0.0348782
+0.0354736
+0.036192
+0.037021
+0.0379533
+0.0389865
+0.0401128
+0.0413247
+0.0426148
+0.0439703
+0.0453819
+0.0468486
+0.0483701
+0.0499414
+0.0515579
+0.0532155
+0.0547809
+0.0559024
+0.0570814
+0.0583008
+0.0595564
+0.0608578
+0.0621962
+0.0743477
+0.072426
+0.0705199
+0.0686309
+0.0667603
+0.0649098
+0.063081
+0.061276
+0.0594969
+0.0577461
+0.0560262
+0.0543403
+0.0526914
+0.0510834
+0.04952
+0.0480057
+0.0465446
+0.0451236
+0.0437648
+0.0424756
+0.0412625
+0.0401325
+0.0390926
+0.0381374
+0.0368236
+0.0355963
+0.0344647
+0.0334384
+0.0325275
+0.0317371
+0.0310709
+0.0305327
+0.0301445
+0.0299122
+0.0298393
+0.029927
+0.0296408
+0.0292302
+0.0289536
+0.0288413
+0.0288951
+0.0291141
+0.0294767
+0.0299821
+0.0306361
+0.0314295
+0.0307478
+0.0296994
+0.02878
+0.028002
+0.0273777
+0.0268663
+0.0265086
+0.0263007
+0.026232
+0.0263077
+0.0264975
+0.0265351
+0.0266922
+0.0270002
+0.0274799
+0.0281012
+0.0287032
+0.0293599
+0.0299492
+0.0305632
+0.0312271
+0.0316872
+0.0322239
+0.0328979
+0.0337011
+0.0344559
+0.034487
+0.034414
+0.0344803
+0.034685
+0.0350259
+0.035499
+0.0360852
+0.0367916
+0.0376075
+0.0385256
+0.0395438
+0.0406547
+0.0418504
+0.0431122
+0.0444442
+0.0458423
+0.0473006
+0.0488136
+0.0503765
+0.0519806
+0.0536251
+0.0553075
+0.056883
+0.0580421
+0.0592418
+0.060488
+0.0617749
+0.0630938
+0.0740192
+0.0720888
+0.0701736
+0.068275
+0.0663944
+0.0645333
+0.0626936
+0.0608771
+0.059086
+0.0573226
+0.0555897
+0.05389
+0.052227
+0.0506042
+0.0490256
+0.0474955
+0.0460182
+0.0445803
+0.0432045
+0.041898
+0.0406677
+0.0395206
+0.0384642
+0.0375061
+0.0365388
+0.0353016
+0.0341564
+0.033111
+0.0321809
+0.0313765
+0.0307076
+0.0301833
+0.0297938
+0.0295586
+0.0294848
+0.0295736
+0.0292228
+0.0288121
+0.0285578
+0.0284439
+0.0284985
+0.0287205
+0.0290882
+0.0296002
+0.0302625
+0.0310524
+0.0313413
+0.0303135
+0.0294132
+0.0286525
+0.0280426
+0.0275727
+0.0272253
+0.0270388
+0.0269867
+0.027093
+0.027095
+0.0270802
+0.0272342
+0.0275361
+0.0280066
+0.0286374
+0.0291449
+0.0295745
+0.0301575
+0.0307673
+0.0313267
+0.0317377
+0.0322743
+0.0329473
+0.0337494
+0.0346715
+0.0352401
+0.0351686
+0.0352335
+0.0354339
+0.0357676
+0.036231
+0.0368111
+0.0374934
+0.0382891
+0.0391912
+0.0401926
+0.041286
+0.0424633
+0.0437055
+0.04502
+0.0464007
+0.0478419
+0.0493384
+0.0508852
+0.0524778
+0.0541123
+0.0557849
+0.0574905
+0.0590685
+0.0602477
+0.0614735
+0.0627519
+0.0640537
+0.0734989
+0.0716379
+0.0697945
+0.0679717
+0.0660991
+0.0642295
+0.0623807
+0.0605549
+0.0587539
+0.0569803
+0.0552366
+0.0535258
+0.0518511
+0.0502161
+0.0486249
+0.0470818
+0.045591
+0.0441392
+0.0427491
+0.0414283
+0.0401836
+0.0390223
+0.037952
+0.0369806
+0.0361162
+0.0351198
+0.0339632
+0.0329117
+0.0319759
+0.0311662
+0.0304927
+0.0299646
+0.0295723
+0.0293354
+0.0292611
+0.0293505
+0.0289648
+0.0285505
+0.0282958
+0.0281809
+0.0282359
+0.02846
+0.0288385
+0.0293549
+0.0300225
+0.0308097
+0.031721
+0.031067
+0.0301892
+0.0294485
+0.0288555
+0.0283991
+0.0280939
+0.0279143
+0.0278817
+0.027738
+0.0276843
+0.0277878
+0.0279379
+0.0282323
+0.0286712
+0.0289691
+0.0294274
+0.0299461
+0.030522
+0.0311247
+0.0315105
+0.0319102
+0.0324532
+0.0331228
+0.0339197
+0.0348363
+0.0358635
+0.036037
+0.0361003
+0.036296
+0.0366219
+0.0370745
+0.0376319
+0.0382996
+0.0390789
+0.0399632
+0.0409457
+0.0420195
+0.0431768
+0.044399
+0.0456936
+0.0470545
+0.0484763
+0.0499538
+0.0514821
+0.0530568
+0.054674
+0.0563299
+0.0580214
+0.0597452
+0.0613154
+0.0625203
+0.0637777
+0.0650733
+0.073022
+0.0711504
+0.0692976
+0.0674649
+0.0656513
+0.0638598
+0.0620892
+0.0603105
+0.0585021
+0.0567206
+0.0549686
+0.0532492
+0.0515655
+0.0499212
+0.0483202
+0.0467671
+0.045266
+0.0438033
+0.0424022
+0.0410703
+0.0398144
+0.038642
+0.0375608
+0.0365791
+0.0357049
+0.0349464
+0.0339108
+0.0328576
+0.0319202
+0.0311091
+0.0304343
+0.0299051
+0.0295121
+0.0292747
+0.0292002
+0.0292899
+0.0288713
+0.0284556
+0.0282
+0.0280847
+0.0281399
+0.0283647
+0.0287446
+0.0292626
+0.0299323
+0.0307218
+0.0316356
+0.0319533
+0.0311005
+0.030382
+0.0298076
+0.0293659
+0.0290709
+0.0289295
+0.0286101
+0.0283895
+0.028337
+0.0284537
+0.0286228
+0.0287815
+0.0290279
+0.0293221
+0.0297746
+0.0303548
+0.0310373
+0.0315238
+0.0318354
+0.0322311
+0.0327687
+0.033432
+0.0342217
+0.0351304
+0.0361492
+0.0369417
+0.0370666
+0.0372572
+0.0375748
+0.0380161
+0.0385599
+0.0392118
+0.0399732
+0.0408382
+0.0418001
+0.0428526
+0.043988
+0.0451882
+0.0464608
+0.0477999
+0.0492002
+0.0506565
+0.0521642
+0.053719
+0.0553168
+0.0569541
+0.0586275
+0.060334
+0.062071
+0.0636253
+0.0648613
+0.0661359
+0.0726045
+0.0707219
+0.0688576
+0.0670129
+0.0651897
+0.063382
+0.0615977
+0.0598403
+0.0581124
+0.0564166
+0.0547559
+0.0530617
+0.0513719
+0.0497212
+0.0481136
+0.0465536
+0.0450452
+0.0435751
+0.0421664
+0.0408268
+0.0395632
+0.0383831
+0.0372945
+0.0363055
+0.0354246
+0.0346599
+0.0339998
+0.0329494
+0.0320147
+0.031206
+0.0305334
+0.030006
+0.0296143
+0.0293777
+0.0293035
+0.0293928
+0.0289437
+0.028529
+0.0282742
+0.0281591
+0.0282142
+0.0284385
+0.0288173
+0.029334
+0.0300022
+0.0307899
+0.0317017
+0.0327299
+0.0321355
+0.0314406
+0.0308859
+0.0304599
+0.0301756
+0.0297805
+0.0294058
+0.0291672
+0.0290204
+0.0290385
+0.0291134
+0.0292694
+0.0295227
+0.0298082
+0.0302477
+0.0308178
+0.0315252
+0.0319991
+0.0323059
+0.0326959
+0.033226
+0.0338804
+0.0346598
+0.0355573
+0.0365643
+0.0376718
+0.0380486
+0.0383197
+0.0386285
+0.039058
+0.0395874
+0.0402227
+0.0409654
+0.0418098
+0.0427499
+0.0437795
+0.0448914
+0.0460682
+0.0473171
+0.0486326
+0.0500096
+0.051443
+0.0529283
+0.0544612
+0.0560379
+0.0576547
+0.0593084
+0.0609959
+0.0627145
+0.0644618
+0.0659998
+0.0672529
+0.0722512
+0.0703591
+0.0684848
+0.0666299
+0.0647959
+0.0629769
+0.0611807
+0.059411
+0.0576702
+0.055961
+0.0542864
+0.0526498
+0.0510546
+0.0495051
+0.0480055
+0.0464417
+0.044914
+0.0434409
+0.0420305
+0.0406892
+0.0394241
+0.0382426
+0.037153
+0.0361615
+0.0352767
+0.0345084
+0.0338647
+0.0331859
+0.032258
+0.0314556
+0.0307884
+0.0302655
+0.0298772
+0.0296427
+0.0295691
+0.0296576
+0.0291628
+0.0287513
+0.0285027
+0.0284029
+0.0284575
+0.0286798
+0.029053
+0.0295656
+0.0302286
+0.0310129
+0.0319184
+0.0329399
+0.0332826
+0.0326123
+0.0320778
+0.0314402
+0.030864
+0.030435
+0.0301158
+0.0298131
+0.0296694
+0.0296872
+0.0297575
+0.0299101
+0.0301567
+0.0304376
+0.0308681
+0.031427
+0.032121
+0.0326149
+0.0329158
+0.0332986
+0.0338193
+0.0344624
+0.0352289
+0.0361123
+0.0371042
+0.0381961
+0.038927
+0.0393688
+0.0397752
+0.0401923
+0.040707
+0.0413251
+0.0420483
+0.0428714
+0.0437887
+0.0447945
+0.0458818
+0.0470338
+0.0482577
+0.0495483
+0.0509005
+0.0523095
+0.0537709
+0.0552804
+0.0568344
+0.0584291
+0.0600615
+0.0617284
+0.0634272
+0.0651553
+0.0669106
+0.0684218
+0.0719628
+0.0700629
+0.0681805
+0.066317
+0.0644742
+0.0626458
+0.0608398
+0.0590599
+0.0573084
+0.0555881
+0.053902
+0.0522533
+0.0506456
+0.0490832
+0.0475703
+0.0461119
+0.0447133
+0.0433803
+0.0419995
+0.0406572
+0.039391
+0.0382086
+0.0371179
+0.0361255
+0.0352397
+0.0344707
+0.0338262
+0.0333136
+0.0326468
+0.0318542
+0.0311956
+0.0306796
+0.0302966
+0.0300654
+0.0299929
+0.0300801
+0.0295296
+0.0291233
+0.0288779
+0.0287864
+0.0288403
+0.0290597
+0.0294211
+0.0299274
+0.0305826
+0.0313773
+0.0322823
+0.0332929
+0.0343911
+0.033683
+0.0328565
+0.0321582
+0.0315967
+0.0311793
+0.0308947
+0.0305996
+0.0304597
+0.030477
+0.0305339
+0.0306827
+0.0309234
+0.0311997
+0.0316257
+0.0321741
+0.0328523
+0.0333635
+0.0336574
+0.0340319
+0.0345415
+0.0351714
+0.0359229
+0.0367896
+0.0377637
+0.038837
+0.0398956
+0.040326
+0.0408474
+0.0414116
+0.0419113
+0.0425119
+0.0432152
+0.0440165
+0.0449104
+0.0458916
+0.0469536
+0.0480798
+0.0492778
+0.0505424
+0.0518686
+0.053252
+0.0546882
+0.0561732
+0.0577031
+0.0592745
+0.0608841
+0.0625291
+0.0642067
+0.0659144
+0.06765
+0.0694113
+0.0717401
+0.0698342
+0.0679455
+0.0660754
+0.0642256
+0.0623899
+0.0605763
+0.0587884
+0.0570286
+0.0552996
+0.0536043
+0.0519462
+0.0503287
+0.0487561
+0.0472328
+0.0457636
+0.044354
+0.0430099
+0.0417375
+0.0405436
+0.0394354
+0.0382999
+0.0372119
+0.0362221
+0.0353388
+0.0345719
+0.0339294
+0.0334184
+0.0330449
+0.0323964
+0.031749
+0.0312295
+0.0308501
+0.0306231
+0.0305519
+0.0306031
+0.030052
+0.0296528
+0.0294118
+0.0293143
+0.0293672
+0.0295827
+0.0299454
+0.030443
+0.0310873
+0.0318695
+0.0327625
+0.0336813
+0.0346066
+0.0344935
+0.0336869
+0.0330062
+0.0324593
+0.0320532
+0.0317931
+0.0315191
+0.0313832
+0.0314
+0.0314257
+0.0315703
+0.0318043
+0.032073
+0.0324876
+0.0330217
+0.0336829
+0.034236
+0.0345204
+0.0348876
+0.0353849
+0.036
+0.0367345
+0.0375825
+0.0385366
+0.039589
+0.0407321
+0.041366
+0.0418745
+0.04249
+0.0431841
+0.0437672
+0.0444507
+0.0452301
+0.0461005
+0.0470569
+0.0480941
+0.0492013
+0.0503726
+0.0516103
+0.0529098
+0.0542667
+0.0556767
+0.057136
+0.0586408
+0.0601877
+0.0617736
+0.0633955
+0.0650508
+0.0667369
+0.0684516
+0.0701928
+0.0715839
+0.0696737
+0.0677805
+0.0659057
+0.064051
+0.0622101
+0.0603911
+0.0585975
+0.0568318
+0.0550967
+0.053395
+0.0517301
+0.0501057
+0.0485259
+0.0469951
+0.0455182
+0.0441008
+0.0427487
+0.0414683
+0.0402664
+0.0391503
+0.0381276
+0.0372058
+0.0363928
+0.0355728
+0.034811
+0.034173
+0.0336657
+0.033295
+0.0330535
+0.0324316
+0.0319164
+0.0315453
+0.0313233
+0.0312537
+0.0312443
+0.0307047
+0.0303141
+0.030078
+0.0299698
+0.0300216
+0.0302324
+0.0304176
+0.0306664
+0.031068
+0.0316166
+0.0323048
+0.0331238
+0.0340642
+0.0351163
+0.0346361
+0.0339744
+0.0334434
+0.0330494
+0.0327972
+0.0325602
+0.0324287
+0.0324226
+0.0324412
+0.0325813
+0.032808
+0.0330686
+0.0334709
+0.0339895
+0.0346322
+0.0352234
+0.0354941
+0.0358568
+0.0363409
+0.0369401
+0.0376563
+0.038484
+0.0394162
+0.0404457
+0.0415653
+0.0424936
+0.0429888
+0.0435885
+0.0442886
+0.0450844
+0.0457533
+0.0465108
+0.0473577
+0.0482892
+0.0493005
+0.0503867
+0.0515373
+0.0527477
+0.0540199
+0.0553495
+0.0567326
+0.0581654
+0.0596442
+0.0611658
+0.0627269
+0.0643248
+0.0659568
+0.0676203
+0.0693131
+0.0710332
+0.0714944
+0.0695818
+0.067686
+0.0658085
+0.063951
+0.0621071
+0.060285
+0.0584882
+0.0567191
+0.0549804
+0.053275
+0.0516062
+0.0499778
+0.0483938
+0.0468587
+0.0453774
+0.0439554
+0.0425987
+0.0413136
+0.0401072
+0.0389865
+0.0379593
+0.0370334
+0.0362165
+0.0355087
+0.0349055
+0.0344314
+0.0340524
+0.033686
+0.0334473
+0.0332382
+0.0327358
+0.032374
+0.0321578
+0.0320899
+0.0320105
+0.031484
+0.0309519
+0.030448
+0.0300955
+0.0298998
+0.0298639
+0.0299597
+0.0302122
+0.0306197
+0.0311763
+0.0318739
+0.0327037
+0.0336559
+0.0347204
+0.0356947
+0.035053
+0.0345386
+0.0341572
+0.0339133
+0.0337117
+0.0335631
+0.0335511
+0.0335691
+0.0337045
+0.0339237
+0.0341758
+0.0345652
+0.0350676
+0.0356909
+0.0363163
+0.0365733
+0.0369308
+0.0374009
+0.0379834
+0.0386803
+0.0394865
+0.0403956
+0.0414008
+0.0424952
+0.0434845
+0.0441836
+0.0447674
+0.0454493
+0.0462251
+0.0470901
+0.0478576
+0.048681
+0.0495877
+0.050573
+0.0516325
+0.0527618
+0.0539501
+0.0551945
+0.0564966
+0.0578523
+0.059258
+0.0607102
+0.0622057
+0.0637413
+0.0653144
+0.0669222
+0.0685623
+0.0702325
+0.0719306
+0.071472
+0.0695588
+0.0676624
+0.0657842
+0.063926
+0.0620813
+0.0602584
+0.0584608
+0.0566909
+0.0549512
+0.0532449
+0.0515752
+0.0499458
+0.0483607
+0.0468245
+0.0453421
+0.043919
+0.0425611
+0.0412749
+0.0400672
+0.0389454
+0.0379171
+0.0369901
+0.0361722
+0.0354636
+0.0348597
+0.0343849
+0.0340448
+0.0338434
+0.0337831
+0.0338625
+0.0336779
+0.0333264
+0.0330248
+0.0325335
+0.0321036
+0.031313
+0.0306589
+0.0301501
+0.0297941
+0.0295963
+0.0295601
+0.0296569
+0.029912
+0.0303235
+0.0308854
+0.0315895
+0.0324266
+0.0333866
+0.0344594
+0.0356347
+0.0362321
+0.0357347
+0.0353635
+0.0351206
+0.0349419
+0.0347927
+0.0347812
+0.0347985
+0.0349292
+0.0351407
+0.0353842
+0.0357604
+0.0362463
+0.0368496
+0.0375054
+0.0377441
+0.0380933
+0.0385564
+0.0391217
+0.0397987
+0.0405827
+0.0414678
+0.0424475
+0.0435156
+0.0444822
+0.0454527
+0.0460204
+0.046684
+0.0474396
+0.0482829
+0.0492093
+0.0500653
+0.0509473
+0.0519068
+0.0529396
+0.0540416
+0.0552085
+0.0564298
+0.057704
+0.059032
+0.0604102
+0.0618354
+0.0633043
+0.064814
+0.0663616
+0.0679447
+0.0695607
+0.0712074
+0.0722216
+0.0715168
+0.0696048
+0.0677096
+0.0658329
+0.063976
+0.0621328
+0.0603115
+0.0585155
+0.0567472
+0.0550094
+0.0533049
+0.0516371
+0.0500097
+0.0484268
+0.0468927
+0.0454125
+0.0439917
+0.0426361
+0.0413523
+0.0401469
+0.0390274
+0.0380014
+0.0370764
+0.0362576
+0.0355525
+0.0349514
+0.0344779
+0.0341387
+0.0339378
+0.0338776
+0.033959
+0.033707
+0.0329453
+0.0323046
+0.0318022
+0.0314448
+0.0311684
+0.0305112
+0.0299999
+0.0296421
+0.0294433
+0.0294069
+0.029514
+0.0297703
+0.0301838
+0.0307482
+0.0314554
+0.032296
+0.0332598
+0.0343365
+0.0355159
+0.036788
+0.0370015
+0.0366385
+0.036404
+0.0362572
+0.0361135
+0.0361023
+0.0361191
+0.036245
+0.0364459
+0.0366807
+0.0370437
+0.0375092
+0.0380925
+0.0387715
+0.0389887
+0.0393269
+0.0397831
+0.0403469
+0.0410036
+0.0417651
+0.0426256
+0.0435794
+0.0446204
+0.0455635
+0.0465644
+0.0473416
+0.047987
+0.0487224
+0.0495439
+0.0504471
+0.0514279
+0.0523633
+0.0532973
+0.0543037
+0.0553785
+0.0565178
+0.0577178
+0.0589681
+0.0602683
+0.0616189
+0.0630167
+0.0644587
+0.0659419
+0.0674637
+0.0690215
+0.0706128
+0.0715077
+0.0721244
+0.0716286
+0.0697196
+0.0678277
+0.0659542
+0.0641009
+0.0622614
+0.0604439
+0.058652
+0.056888
+0.0551546
+0.0534547
+0.0517918
+0.0501694
+0.0485916
+0.0470629
+0.0455883
+0.0441731
+0.0428216
+0.0415396
+0.0403359
+0.0392177
+0.0381926
+0.0372681
+0.0364521
+0.0357518
+0.0351613
+0.0346907
+0.0343536
+0.034154
+0.0340942
+0.0340308
+0.0331224
+0.0323371
+0.0316842
+0.0311718
+0.0308071
+0.0305952
+0.0304995
+0.029988
+0.02963
+0.0294312
+0.0293947
+0.029507
+0.0297634
+0.030177
+0.0307415
+0.0314488
+0.0322896
+0.0332536
+0.0343305
+0.0355101
+0.0367783
+0.0381119
+0.0379971
+0.037771
+0.0376541
+0.0375157
+0.037505
+0.0375212
+0.0376423
+0.0378153
+0.0380416
+0.0383918
+0.0388489
+0.0394124
+0.0400879
+0.0403141
+0.0406413
+0.0410828
+0.0416348
+0.0422715
+0.0430105
+0.0438466
+0.0447743
+0.0457882
+0.0465163
+0.0472252
+0.0480238
+0.0489074
+0.0498718
+0.050868
+0.0517481
+0.0527047
+0.0537244
+0.0547402
+0.0557205
+0.0567685
+0.0578805
+0.0590528
+0.060282
+0.0615577
+0.0628806
+0.064251
+0.0656659
+0.0671225
+0.0686181
+0.0701502
+0.0709091
+0.0714508
+0.0720551
+0.071807
+0.0699029
+0.0680161
+0.066148
+0.0642989
+0.0624644
+0.0606533
+0.0588679
+0.0571108
+0.0553846
+0.0536923
+0.0520371
+0.0504198
+0.0488469
+0.0473231
+0.0458533
+0.044443
+0.0430979
+0.0418243
+0.0406291
+0.0395192
+0.0385021
+0.0375853
+0.0367762
+0.0360823
+0.0354973
+0.0350312
+0.0346974
+0.0344997
+0.0344406
+0.0335856
+0.0326648
+0.0318683
+0.0312056
+0.0306852
+0.0303146
+0.0300993
+0.0300392
+0.0301112
+0.0297796
+0.0295818
+0.0295455
+0.0296572
+0.0299123
+0.0303238
+0.0308857
+0.0315898
+0.0324269
+0.0333869
+0.0344597
+0.035635
+0.0368989
+0.0382283
+0.0394306
+0.0392128
+0.0391166
+0.0389907
+0.0389804
+0.0389902
+0.0391068
+0.0392593
+0.0394773
+0.0398149
+0.0402633
+0.0408073
+0.0414601
+0.0417125
+0.0420288
+0.0424559
+0.0429902
+0.0435885
+0.0441437
+0.0447747
+0.0453771
+0.0459424
+0.0466039
+0.047339
+0.0481356
+0.0490173
+0.0499795
+0.0510176
+0.0521272
+0.0532887
+0.0545131
+0.0557967
+0.0571355
+0.0582078
+0.0592928
+0.0604377
+0.0616393
+0.0628942
+0.0641923
+0.0655353
+0.066923
+0.0683528
+0.0698221
+0.0703559
+0.0708342
+0.0713765
+0.0719789
+0.0720517
+0.0701542
+0.0682743
+0.0664071
+0.0645579
+0.0627307
+0.0609274
+0.0591504
+0.0574019
+0.0556847
+0.0540018
+0.0523565
+0.0507493
+0.0491869
+0.047674
+0.0462154
+0.0448164
+0.0434829
+0.042221
+0.0410373
+0.0399387
+0.0389326
+0.0380262
+0.0372267
+0.0365413
+0.0359638
+0.0355038
+0.0351745
+0.0349795
+0.0343233
+0.033279
+0.0323495
+0.031545
+0.0308753
+0.0303493
+0.0299746
+0.0297568
+0.029696
+0.0297688
+0.0300018
+0.0298925
+0.0298566
+0.0299672
+0.0302196
+0.0306271
+0.0311835
+0.031881
+0.0327106
+0.0336626
+0.0347268
+0.0358934
+0.0371486
+0.0384693
+0.0398667
+0.0407214
+0.0406288
+0.0405305
+0.0405206
+0.0405211
+0.0406333
+0.0407698
+0.0409798
+0.0411925
+0.0410929
+0.0411101
+0.0412437
+0.0414761
+0.0418164
+0.0422676
+0.0428263
+0.0434649
+0.0440633
+0.0446101
+0.0452564
+0.0459416
+0.0466031
+0.0473568
+0.0481984
+0.0491233
+0.050127
+0.0512047
+0.052322
+0.0534938
+0.0547163
+0.0559953
+0.0573294
+0.058715
+0.0601485
+0.0616265
+0.0630435
+0.064271
+0.0655488
+0.0668667
+0.0682274
+0.0695669
+0.0699001
+0.0703
+0.0707655
+0.0712953
+0.071888
+0.0723618
+0.0704698
+0.0685902
+0.0667296
+0.0648896
+0.063072
+0.0612788
+0.0595122
+0.0577747
+0.0560689
+0.0543979
+0.052765
+0.0511706
+0.0496214
+0.0481222
+0.0466776
+0.0452929
+0.0439738
+0.0427264
+0.0415571
+0.0404727
+0.0394801
+0.0385866
+0.037799
+0.0371241
+0.0365558
+0.0361034
+0.0357796
+0.0353177
+0.0341641
+0.0331147
+0.0321805
+0.0313717
+0.0306982
+0.0301691
+0.0297921
+0.029573
+0.0295118
+0.0295851
+0.0298195
+0.0302115
+0.0303233
+0.0304321
+0.0306807
+0.0310822
+0.0316305
+0.0323184
+0.0331371
+0.0340771
+0.0351288
+0.0362824
+0.0375246
+0.0388325
+0.0402173
+0.0416713
+0.0422006
+0.0421227
+0.0421131
+0.0421103
+0.0420264
+0.0415841
+0.0412535
+0.0410373
+0.0409374
+0.0409546
+0.0410887
+0.041322
+0.0416635
+0.0421164
+0.0426771
+0.043315
+0.0439183
+0.0444669
+0.0451152
+0.045839
+0.0466544
+0.0474572
+0.048297
+0.0492201
+0.0502218
+0.0512976
+0.0524428
+0.0536474
+0.0549127
+0.0562349
+0.0575969
+0.0589793
+0.0604094
+0.061884
+0.0633972
+0.0649492
+0.066537
+0.0681079
+0.0692762
+0.0695419
+0.0698752
+0.0702753
+0.0707409
+0.0712709
+0.0718638
+0.072729
+0.0708416
+0.0689721
+0.067122
+0.0652931
+0.0634871
+0.0617059
+0.0599519
+0.0582276
+0.0565355
+0.0548787
+0.0532604
+0.0516814
+0.050148
+0.0486649
+0.047237
+0.0458692
+0.0445672
+0.0433368
+0.0421844
+0.0411166
+0.0401399
+0.0392614
+0.0384876
+0.037825
+0.0372674
+0.0368237
+0.0365063
+0.0352805
+0.0341443
+0.033095
+0.0321602
+0.0313509
+0.030677
+0.0301475
+0.0297702
+0.0295509
+0.0294897
+0.029563
+0.0297976
+0.0301898
+0.0307336
+0.031045
+0.0312888
+0.0316825
+0.0322207
+0.0328962
+0.0337008
+0.0346256
+0.0356611
+0.036798
+0.0380234
+0.0393147
+0.0406831
+0.042121
+0.0436216
+0.0437637
+0.0431219
+0.0425374
+0.0419888
+0.041546
+0.0412151
+0.0409987
+0.0408987
+0.0409159
+0.0410502
+0.0412837
+0.0416255
+0.0420788
+0.04264
+0.0432571
+0.0438823
+0.0444313
+0.0450802
+0.0458044
+0.0466205
+0.0475236
+0.0484945
+0.0494139
+0.0504118
+0.0514836
+0.0526248
+0.0538252
+0.0550865
+0.0564046
+0.0577757
+0.0591962
+0.0606626
+0.0621716
+0.0637113
+0.0652585
+0.0668417
+0.0684584
+0.0693204
+0.0695859
+0.069919
+0.0703188
+0.0707842
+0.0713139
+0.0719064
+0.0731549
+0.0712787
+0.069421
+0.0675833
+0.0657672
+0.0639745
+0.0622073
+0.0604679
+0.0587586
+0.0570823
+0.0554418
+0.0538406
+0.052279
+0.0507637
+0.0492992
+0.0478901
+0.0465415
+0.0452588
+0.0440478
+0.0429145
+0.0418653
+0.0409065
+0.0400448
+0.0392865
+0.0386376
+0.0380919
+0.0376579
+0.0365992
+0.0353716
+0.0342403
+0.0332059
+0.0322744
+0.031468
+0.0307966
+0.0302692
+0.0298935
+0.0296751
+0.0296176
+0.0297029
+0.0299365
+0.0303269
+0.0308682
+0.0315526
+0.0320354
+0.03242
+0.0329462
+0.0336071
+0.0343951
+0.0353017
+0.0363179
+0.0374349
+0.0386401
+0.0399115
+0.04126
+0.0426785
+0.0441602
+0.0436289
+0.0429549
+0.0423727
+0.041886
+0.0415092
+0.0412456
+0.0410678
+0.040968
+0.0409852
+0.0411192
+0.0413523
+0.0416936
+0.0421462
+0.0427065
+0.04331
+0.0439553
+0.0445037
+0.0451515
+0.0458746
+0.0466895
+0.0475913
+0.0485752
+0.0496364
+0.0506958
+0.0517617
+0.0528969
+0.0540913
+0.0553465
+0.0566586
+0.0580237
+0.0594383
+0.0608988
+0.0624021
+0.063945
+0.065525
+0.0671392
+0.0687853
+0.0693737
+0.0696389
+0.0699718
+0.0703713
+0.0708364
+0.0713657
+0.0719578
+0.0736435
+0.0717801
+0.0699357
+0.0681119
+0.0663102
+0.0645327
+0.0627812
+0.0610581
+0.0593659
+0.0577072
+0.056085
+0.0545026
+0.0529606
+0.0514653
+0.0500214
+0.0486332
+0.0473058
+0.0460445
+0.0448547
+0.0437423
+0.0427134
+0.0417741
+0.0409306
+0.040189
+0.0395549
+0.0390221
+0.0381245
+0.0368175
+0.0355975
+0.0344737
+0.0334465
+0.0325218
+0.0317217
+0.0310558
+0.0305329
+0.0301605
+0.029944
+0.029887
+0.0299766
+0.0302081
+0.030595
+0.0311316
+0.0318104
+0.0326224
+0.0332857
+0.0337983
+0.0344429
+0.0352122
+0.0360983
+0.0370927
+0.038187
+0.0393692
+0.0406177
+0.0419436
+0.0433397
+0.0443413
+0.0435685
+0.0428937
+0.0423095
+0.041822
+0.0414447
+0.0411806
+0.041032
+0.041
+0.041085
+0.0412862
+0.0415234
+0.0418633
+0.0423141
+0.0428722
+0.0434734
+0.0441163
+0.0446834
+0.0453287
+0.046049
+0.0468609
+0.0477594
+0.04874
+0.0497976
+0.0509276
+0.0520893
+0.0532578
+0.0544443
+0.0556915
+0.0569957
+0.0583529
+0.0597597
+0.0612125
+0.0627083
+0.0642439
+0.0658166
+0.0674239
+0.0690632
+0.0694892
+0.069754
+0.0700863
+0.0704852
+0.0709495
+0.0714779
+0.0720691
+0.0741936
+0.0723444
+0.0705148
+0.0687063
+0.0669207
+0.0651598
+0.0634256
+0.0617205
+0.0600469
+0.0584076
+0.0568054
+0.0552437
+0.0537229
+0.0522495
+0.0508278
+0.0494623
+0.0481578
+0.0469193
+0.0457522
+0.0446622
+0.043655
+0.0427364
+0.0419123
+0.0411884
+0.0405699
+0.0398328
+0.0384592
+0.037164
+0.0359557
+0.0348434
+0.0338275
+0.0329135
+0.0321232
+0.0314658
+0.0309498
+0.0305824
+0.030369
+0.0303128
+0.0304011
+0.0306294
+0.031011
+0.0315406
+0.0322108
+0.033013
+0.0339378
+0.0347678
+0.0353948
+0.0361438
+0.0370076
+0.0379782
+0.0390476
+0.0402045
+0.041428
+0.0427287
+0.0441
+0.0442242
+0.0435132
+0.0429024
+0.0423491
+0.0418621
+0.0414852
+0.0412214
+0.0410729
+0.0410409
+0.0411258
+0.0413269
+0.0416423
+0.0420696
+0.0425512
+0.0431277
+0.043742
+0.0442473
+0.044854
+0.045494
+0.0462134
+0.0470238
+0.0479208
+0.0488988
+0.0499531
+0.0510797
+0.0522738
+0.053531
+0.0547866
+0.0560924
+0.0574144
+0.058762
+0.0601592
+0.0616027
+0.0630891
+0.0646157
+0.0661796
+0.0677782
+0.0694092
+0.0696728
+0.069937
+0.0702684
+0.0706663
+0.0711294
+0.0716565
+0.0722461
+0.0748038
+0.0729701
+0.0711566
+0.0693649
+0.0675966
+0.0658538
+0.0641384
+0.0624528
+0.0607994
+0.0591808
+0.0576002
+0.0560606
+0.0545626
+0.0531125
+0.0517145
+0.050373
+0.0490927
+0.0478784
+0.0467354
+0.0456688
+0.0446843
+0.0437873
+0.0429834
+0.0422778
+0.0416718
+0.0402726
+0.0389145
+0.037635
+0.0364423
+0.0353454
+0.0343443
+0.0334444
+0.0326669
+0.0320207
+0.0315138
+0.0311531
+0.0309436
+0.0308884
+0.0309751
+0.0311992
+0.031574
+0.0320942
+0.0327531
+0.0335423
+0.0344529
+0.0354757
+0.0364486
+0.037172
+0.0380081
+0.0389496
+0.0399891
+0.041119
+0.0423323
+0.043607
+0.0448857
+0.0440766
+0.0433632
+0.0427502
+0.0422421
+0.0418426
+0.0415452
+0.0413492
+0.0412303
+0.0411985
+0.041283
+0.0414833
+0.0417976
+0.0422233
+0.0427031
+0.0432777
+0.0438898
+0.0443934
+0.0449981
+0.0456565
+0.0463733
+0.047181
+0.0480751
+0.04905
+0.0501011
+0.0512244
+0.0524152
+0.0536691
+0.0549817
+0.0563489
+0.0577603
+0.059168
+0.0606086
+0.0620677
+0.0635433
+0.0650592
+0.0666127
+0.0682012
+0.0696883
+0.0698837
+0.0701427
+0.0704468
+0.0708174
+0.0712463
+0.0717338
+0.0722844
+0.0754728
+0.0736557
+0.0718595
+0.0700857
+0.0683361
+0.0666126
+0.0649173
+0.0632525
+0.0616205
+0.0600241
+0.0584663
+0.0569501
+0.0554761
+0.0540505
+0.0526774
+0.0513611
+0.0501061
+0.048917
+0.0477987
+0.0467564
+0.0457953
+0.0449205
+0.0441372
+0.0434503
+0.0422344
+0.0408254
+0.0394863
+0.0382259
+0.0370523
+0.0359739
+0.0349908
+0.034108
+0.033346
+0.0327132
+0.0322172
+0.0318644
+0.0316597
+0.0316058
+0.0316905
+0.0319095
+0.032276
+0.0327852
+0.0334304
+0.034204
+0.0350975
+0.036102
+0.0372084
+0.0382828
+0.0390951
+0.0400111
+0.0410236
+0.0421259
+0.043311
+0.0445576
+0.0448474
+0.0440376
+0.0433235
+0.04271
+0.0422014
+0.0418015
+0.0415038
+0.0413076
+0.041227
+0.0412627
+0.0414145
+0.0416307
+0.0419438
+0.0423681
+0.0429002
+0.0435099
+0.044146
+0.0446467
+0.045248
+0.045923
+0.0466357
+0.047439
+0.0483282
+0.0492982
+0.0503441
+0.0514621
+0.0526475
+0.053896
+0.0552032
+0.056565
+0.0579777
+0.0594312
+0.0609198
+0.0624497
+0.0639842
+0.0655386
+0.0671144
+0.0686912
+0.0698372
+0.0700056
+0.0702421
+0.0705458
+0.0709159
+0.0713511
+0.0718392
+0.072389
+0.0761988
+0.0743995
+0.0726217
+0.070867
+0.0691372
+0.0674342
+0.06576
+0.064117
+0.0625077
+0.0609345
+0.0594006
+0.0579088
+0.0564599
+0.0550598
+0.0537125
+0.0524222
+0.0511932
+0.0500299
+0.0489371
+0.0479196
+0.0469822
+0.04613
+0.0453676
+0.0443227
+0.0428739
+0.0414866
+0.0401696
+0.0389313
+0.0377796
+0.0367226
+0.0357535
+0.03489
+0.0341454
+0.0335276
+0.0330437
+0.0326998
+0.0325002
+0.0324477
+0.0325303
+0.0327437
+0.033101
+0.0335976
+0.0342276
+0.0349835
+0.0358576
+0.0368414
+0.0379263
+0.0390993
+0.0402721
+0.0411618
+0.0421468
+0.0432204
+0.0443762
+0.0455938
+0.0449161
+0.0441075
+0.0433946
+0.042782
+0.0422743
+0.0418752
+0.041578
+0.0413821
+0.0413017
+0.0413373
+0.0414888
+0.0417046
+0.0420172
+0.0424408
+0.0429719
+0.0435806
+0.0442799
+0.044856
+0.0455158
+0.04627
+0.0469989
+0.047796
+0.0486788
+0.0496419
+0.0506807
+0.0517914
+0.0529695
+0.0542105
+0.0555103
+0.0568648
+0.0582702
+0.0597229
+0.0612134
+0.0627362
+0.0642976
+0.0658948
+0.0675254
+0.0691868
+0.0700007
+0.0701688
+0.0704046
+0.0707076
+0.0710744
+0.071496
+0.0719818
+0.0725305
+0.0769804
+0.0751998
+0.0734413
+0.0717067
+0.0699976
+0.0683161
+0.0666641
+0.065044
+0.0634581
+0.0619091
+0.0603999
+0.0589335
+0.0575104
+0.0561364
+0.0548157
+0.0535519
+0.0523494
+0.0512124
+0.0501454
+0.0491529
+0.0482395
+0.0474099
+0.0465237
+0.0450391
+0.0436142
+0.0422512
+0.0409587
+0.0397451
+0.0386166
+0.0375647
+0.0366129
+0.0357701
+0.0350442
+0.0344425
+0.0339717
+0.0336373
+0.0334433
+0.0333922
+0.0334759
+0.0336833
+0.0340308
+0.034514
+0.0351275
+0.0358645
+0.0367176
+0.0376789
+0.0387404
+0.039894
+0.0411321
+0.0423947
+0.0433516
+0.0443961
+0.0455221
+0.0459868
+0.0450911
+0.0442858
+0.0435758
+0.0429658
+0.0424603
+0.0420629
+0.0417671
+0.0415721
+0.041492
+0.0415275
+0.0416783
+0.0418931
+0.0422043
+0.042626
+0.0431549
+0.0437611
+0.0444575
+0.0450931
+0.0457495
+0.0464999
+0.0473398
+0.04825
+0.0491246
+0.0500791
+0.0511091
+0.0522107
+0.0533795
+0.0546112
+0.0559017
+0.0572469
+0.0586431
+0.0600868
+0.0615746
+0.063097
+0.0646497
+0.0662384
+0.0678607
+0.0695142
+0.0702322
+0.0703955
+0.0706175
+0.0709065
+0.0712618
+0.0716822
+0.0721667
+0.0727141
+0.0778158
+0.0760548
+0.0743165
+0.0726028
+0.0709154
+0.0692561
+0.0676271
+0.0660306
+0.064469
+0.0629449
+0.0614611
+0.0600206
+0.0586239
+0.0572767
+0.0559828
+0.054746
+0.0535703
+0.0524598
+0.0514187
+0.0504512
+0.0495618
+0.0487546
+0.0473067
+0.0458476
+0.0444485
+0.0431136
+0.0418478
+0.0406558
+0.039536
+0.0385083
+0.0375805
+0.0367598
+0.0360539
+0.0354693
+0.0350123
+0.0346879
+0.0344999
+0.0344504
+0.0345348
+0.0347359
+0.0350729
+0.035542
+0.036138
+0.0368548
+0.0376855
+0.0386227
+0.039659
+0.0407866
+0.0419983
+0.0432871
+0.0446315
+0.0456467
+0.0467426
+0.0462617
+0.0453715
+0.0445711
+0.0438658
+0.0432599
+0.0427578
+0.0423632
+0.0420695
+0.041876
+0.0417965
+0.0418317
+0.0419814
+0.0421947
+0.0425037
+0.0429224
+0.0434477
+0.0440498
+0.0447418
+0.0454347
+0.0460862
+0.0468312
+0.0476653
+0.048584
+0.0495825
+0.0506075
+0.0516269
+0.0527177
+0.0538755
+0.0550962
+0.0563755
+0.0577097
+0.059095
+0.0605279
+0.0620051
+0.0635195
+0.0650621
+0.066641
+0.0682537
+0.0698979
+0.0704873
+0.0706411
+0.0708624
+0.0711504
+0.0715044
+0.0719234
+0.0724063
+0.0729518
+0.0787034
+0.0769626
+0.0752454
+0.0735533
+0.0718881
+0.0702519
+0.0686465
+0.0670742
+0.0655375
+0.0640389
+0.062581
+0.0611669
+0.059797
+0.0584768
+0.0572101
+0.0560004
+0.0548516
+0.0537675
+0.0527522
+0.0518097
+0.050944
+0.0496471
+0.0481592
+0.0467266
+0.0453547
+0.044049
+0.0428157
+0.0416446
+0.0405522
+0.039551
+0.0386481
+0.0378507
+0.0371654
+0.0365986
+0.0361559
+0.0358419
+0.0356599
+0.035612
+0.0356959
+0.0358905
+0.0362168
+0.0366712
+0.0372492
+0.037945
+0.0387523
+0.0396644
+0.040674
+0.0417743
+0.0429582
+0.044219
+0.0455501
+0.0469285
+0.0476055
+0.046638
+0.045755
+0.0449616
+0.0442624
+0.0436621
+0.0431647
+0.0427738
+0.042483
+0.0422913
+0.0422126
+0.0422475
+0.0423957
+0.0426069
+0.0429129
+0.0433277
+0.0438481
+0.0444448
+0.0451308
+0.0458341
+0.04646
+0.0471795
+0.0479883
+0.0488819
+0.0498558
+0.0509055
+0.0520181
+0.0531924
+0.0544296
+0.0556631
+0.0569298
+0.0582513
+0.059624
+0.0610444
+0.0625094
+0.064014
+0.0655451
+0.0671126
+0.0687142
+0.0703476
+0.0708004
+0.0709535
+0.0711738
+0.0714606
+0.071813
+0.0722303
+0.0727111
+0.0732544
+0.0796413
+0.0779215
+0.0762258
+0.074556
+0.0729138
+0.071301
+0.0697198
+0.0681723
+0.0666609
+0.0651881
+0.0637566
+0.0623691
+0.0610262
+0.0597332
+0.0584937
+0.0573111
+0.0561891
+0.0551313
+0.0541416
+0.0532237
+0.0520665
+0.0505549
+0.0490945
+0.0476901
+0.0463467
+0.0450697
+0.0438651
+0.0427231
+0.0416589
+0.0406849
+0.0398078
+0.039034
+0.0383699
+0.0378212
+0.037393
+0.0370894
+0.0369135
+0.0368673
+0.0369481
+0.0371361
+0.0374516
+0.0378912
+0.0384509
+0.0391253
+0.0399088
+0.0407949
+0.0417773
+0.0428493
+0.0440042
+0.0452359
+0.046538
+0.0478881
+0.0478895
+0.0470041
+0.0461969
+0.0454543
+0.0447629
+0.0441693
+0.0436777
+0.0432915
+0.0430041
+0.0428148
+0.042737
+0.0427715
+0.0429179
+0.0431266
+0.0434289
+0.0438388
+0.0443533
+0.0449433
+0.045594
+0.0461368
+0.0467587
+0.0474737
+0.0482775
+0.0491659
+0.0501343
+0.0511782
+0.0522851
+0.0534535
+0.0546848
+0.0559747
+0.0573194
+0.058715
+0.0601581
+0.0616346
+0.0630859
+0.0645784
+0.0660971
+0.0676519
+0.069241
+0.0708623
+0.0711796
+0.0713319
+0.071551
+0.0718362
+0.0721783
+0.0725785
+0.0730369
+0.0735577
+0.0806278
+0.0789295
+0.077256
+0.075609
+0.0739901
+0.0724013
+0.0708447
+0.0693223
+0.0678365
+0.0663898
+0.0649847
+0.063624
+0.0623082
+0.0610423
+0.0598299
+0.0586743
+0.0575789
+0.0565471
+0.0555826
+0.0545546
+0.0530234
+0.0515399
+0.0501082
+0.048733
+0.0474192
+0.0461719
+0.0449968
+0.0438844
+0.0428491
+0.0419028
+0.0410517
+0.0403018
+0.0396589
+0.0391283
+0.0387145
+0.0384214
+0.0382517
+0.038207
+0.0382848
+0.0384663
+0.0387709
+0.0391958
+0.039737
+0.04039
+0.0411494
+0.0420094
+0.042964
+0.0440071
+0.0451324
+0.0463341
+0.0476062
+0.048927
+0.0482596
+0.0473811
+0.0465804
+0.045862
+0.0452384
+0.0447049
+0.0442612
+0.0439125
+0.0436292
+0.0434426
+0.043366
+0.0433999
+0.0435442
+0.0437499
+0.044048
+0.0444522
+0.0449596
+0.0455417
+0.0459911
+0.0465318
+0.0471574
+0.0478664
+0.0486637
+0.0495452
+0.0505063
+0.0515427
+0.0526419
+0.0538026
+0.0550261
+0.0563082
+0.0576451
+0.059033
+0.0604685
+0.0619482
+0.063469
+0.0650273
+0.0666186
+0.0682431
+0.0698326
+0.0714404
+0.0715697
+0.0717212
+0.0719391
+0.072216
+0.072545
+0.0729379
+0.073394
+0.0739123
+0.0816612
+0.0799849
+0.0783339
+0.07671
+0.0751149
+0.0735504
+0.0720186
+0.0705216
+0.0690616
+0.0676411
+0.0662625
+0.0649287
+0.0636398
+0.0624009
+0.0612155
+0.0600865
+0.0590173
+0.0580111
+0.0570713
+0.0555551
+0.0540523
+0.0525977
+0.0511957
+0.0498505
+0.0485669
+0.0473498
+0.0462047
+0.0451223
+0.044116
+0.0431975
+0.0423724
+0.0416463
+0.0410245
+0.0405118
+0.0401123
+0.0398294
+0.0396657
+0.0396227
+0.0396975
+0.0398725
+0.0401665
+0.0405767
+0.0410998
+0.0417315
+0.0424669
+0.0433007
+0.0442275
+0.0452414
+0.0463368
+0.047508
+0.0487495
+0.0496768
+0.0487255
+0.0478555
+0.0470629
+0.046352
+0.0457267
+0.0451869
+0.044748
+0.0444129
+0.044184
+0.0440622
+0.0440291
+0.0441046
+0.0442702
+0.0444725
+0.0447658
+0.0451636
+0.0456631
+0.0460428
+0.0464797
+0.0470148
+0.0476447
+0.0483552
+0.0491447
+0.0500176
+0.0509699
+0.051997
+0.0530868
+0.054238
+0.0554519
+0.0567244
+0.0580517
+0.0594301
+0.0608562
+0.0623267
+0.0638385
+0.065388
+0.0669707
+0.0685869
+0.0702342
+0.0719022
+0.0719863
+0.072137
+0.0723537
+0.0726358
+0.0729704
+0.0733609
+0.0738145
+0.0743298
+0.0827398
+0.0810857
+0.0794576
+0.0778572
+0.076286
+0.0747461
+0.0732393
+0.0717677
+0.0703336
+0.0689393
+0.0675872
+0.06628
+0.0650179
+0.0638059
+0.062647
+0.0615443
+0.0605008
+0.0595197
+0.0581416
+0.0566227
+0.055149
+0.0537241
+0.0523522
+0.0510375
+0.0497845
+0.048598
+0.047483
+0.0464306
+0.0454533
+0.0445623
+0.043763
+0.0430604
+0.0424593
+0.0419641
+0.0415785
+0.0413057
+0.0411479
+0.0411064
+0.0411783
+0.0413471
+0.0416306
+0.0420266
+0.0425318
+0.0431425
+0.0438543
+0.0446622
+0.0455613
+0.0465462
+0.0476115
+0.0487521
+0.0499628
+0.0501471
+0.0492452
+0.0484083
+0.0476348
+0.0469311
+0.0463018
+0.0457688
+0.0453355
+0.0450048
+0.0447789
+0.0446587
+0.0446261
+0.0447006
+0.0448821
+0.0451113
+0.0454209
+0.0458332
+0.0462684
+0.0466339
+0.0470653
+0.0475938
+0.0482162
+0.0489288
+0.0497175
+0.0505806
+0.0515225
+0.0525388
+0.0536176
+0.0547576
+0.0559602
+0.0572214
+0.0585375
+0.0599047
+0.0613198
+0.0627794
+0.0642806
+0.0658197
+0.0673923
+0.0689986
+0.0706363
+0.0723033
+0.0724669
+0.0726165
+0.0728318
+0.0731121
+0.0734395
+0.0738224
+0.074268
+0.0747736
+0.0838616
+0.0822302
+0.0806252
+0.0790484
+0.0775014
+0.0759861
+0.0745043
+0.0730583
+0.07165
+0.0702818
+0.0689561
+0.0676753
+0.0664397
+0.0652541
+0.0641214
+0.0630445
+0.0620263
+0.060776
+0.0592436
+0.0577537
+0.0563095
+0.0549149
+0.0535735
+0.0522895
+0.0510672
+0.0499112
+0.0488262
+0.0478035
+0.0468548
+0.045991
+0.045217
+0.0445373
+0.0439564
+0.0434782
+0.0431063
+0.0428432
+0.042691
+0.042651
+0.0427201
+0.0428828
+0.0431563
+0.0435384
+0.0440263
+0.0446165
+0.0453051
+0.0460877
+0.0469594
+0.0479156
+0.0489512
+0.0500612
+0.051241
+0.0505562
+0.0496618
+0.0488413
+0.0480954
+0.0474391
+0.0468761
+0.0464097
+0.0460199
+0.0456942
+0.0454717
+0.0453532
+0.0453208
+0.0453942
+0.0455599
+0.0457788
+0.0460839
+0.0464903
+0.0469318
+0.0473191
+0.0477444
+0.0482654
+0.0488792
+0.0495823
+0.0503708
+0.051231
+0.0521611
+0.0531652
+0.0542318
+0.0553592
+0.0565489
+0.0577973
+0.0591005
+0.060455
+0.0618575
+0.0633047
+0.0647937
+0.0663209
+0.0678819
+0.0694769
+0.0711036
+0.0727599
+0.07301
+0.0731585
+0.0733722
+0.0736349
+0.0739193
+0.0742622
+0.0746679
+0.0751352
+0.0850252
+0.0834165
+0.0818348
+0.0802817
+0.0787589
+0.0772683
+0.0758116
+0.074391
+0.0730084
+0.0716662
+0.0703665
+0.0691119
+0.0679025
+0.0667428
+0.0656358
+0.0645841
+0.0634518
+0.0619087
+0.060405
+0.0589444
+0.0575302
+0.0561658
+0.054855
+0.0536017
+0.0524101
+0.0512844
+0.050229
+0.0492357
+0.0483151
+0.0474779
+0.0467285
+0.0460711
+0.0455098
+0.0450481
+0.0446892
+0.0444355
+0.0442888
+0.0442503
+0.0443167
+0.0444735
+0.0447373
+0.045106
+0.0455771
+0.0461475
+0.0468136
+0.0475713
+0.0484164
+0.0493443
+0.0503505
+0.0514304
+0.0520189
+0.0510561
+0.0501702
+0.0493598
+0.0486261
+0.047977
+0.0474204
+0.0469594
+0.046597
+0.0463354
+0.0461596
+0.0460841
+0.0460895
+0.0461616
+0.0463246
+0.0465399
+0.0468401
+0.04724
+0.0476868
+0.0480944
+0.0485129
+0.0490258
+0.0496302
+0.0503227
+0.0510999
+0.0519488
+0.0528663
+0.0538573
+0.0549178
+0.0560399
+0.0572155
+0.0584497
+0.0597387
+0.061079
+0.0624675
+0.0639009
+0.0653763
+0.0668902
+0.0684382
+0.0695462
+0.0706608
+0.071825
+0.0730364
+0.073652
+0.0738014
+0.0740153
+0.0742932
+0.0746344
+0.075038
+0.0755031
+0.0862287
+0.0846428
+0.0830845
+0.0815552
+0.0800567
+0.0785907
+0.077159
+0.0757636
+0.0744065
+0.07309
+0.0718161
+0.0705872
+0.0694035
+0.0682694
+0.0671875
+0.0661605
+0.0646118
+0.0630971
+0.0616224
+0.0601914
+0.0588071
+0.0574731
+0.0561928
+0.05497
+0.0538087
+0.0527128
+0.0516866
+0.050722
+0.049829
+0.0490176
+0.0482921
+0.0476563
+0.0471138
+0.046668
+0.0463217
+0.046077
+0.0459355
+0.0458984
+0.0459619
+0.0461132
+0.0463676
+0.0467234
+0.0471784
+0.0477297
+0.048374
+0.0491076
+0.0499267
+0.0508271
+0.0518045
+0.0528546
+0.0525962
+0.0516405
+0.0507591
+0.0499583
+0.0492335
+0.0485925
+0.048043
+0.0475881
+0.0472305
+0.0469725
+0.0467991
+0.0467246
+0.0467528
+0.0468834
+0.0471156
+0.0473902
+0.047685
+0.0480779
+0.0485289
+0.0489405
+0.0493668
+0.0498709
+0.0504651
+0.0511464
+0.0519112
+0.0527471
+0.0536509
+0.0546277
+0.0556735
+0.0567847
+0.0579573
+0.059176
+0.0604495
+0.0617744
+0.0631476
+0.0645659
+0.0654976
+0.0664637
+0.067487
+0.0685652
+0.0696955
+0.0708755
+0.0721028
+0.073375
+0.0742405
+0.0744531
+0.0747294
+0.0750686
+0.07547
+0.0759324
+0.0874705
+0.0859076
+0.0843726
+0.0828671
+0.0813927
+0.0799512
+0.0785443
+0.077174
+0.0758422
+0.074551
+0.0733025
+0.072099
+0.0709405
+0.0698313
+0.068774
+0.0673475
+0.0658226
+0.0643358
+0.0628902
+0.0614887
+0.0601343
+0.0588304
+0.0575802
+0.0563876
+0.055256
+0.0541894
+0.0531918
+0.0522521
+0.0513857
+0.0505993
+0.0498968
+0.0492818
+0.0487575
+0.0483269
+0.0479926
+0.0477565
+0.0476201
+0.0475843
+0.0476373
+0.0477833
+0.0480288
+0.0483725
+0.0488121
+0.0493451
+0.0499686
+0.0506792
+0.0514732
+0.052347
+0.0532965
+0.0542686
+0.0532507
+0.0523047
+0.0514347
+0.0506446
+0.0499297
+0.0492978
+0.0487563
+0.0483081
+0.0479558
+0.0477017
+0.047531
+0.0474577
+0.0474854
+0.047614
+0.0478427
+0.04817
+0.048594
+0.0489994
+0.049452
+0.0498578
+0.0502905
+0.0507964
+0.05138
+0.0520493
+0.052801
+0.053623
+0.0545123
+0.0554739
+0.0565041
+0.0575993
+0.0587557
+0.059969
+0.0612175
+0.0619559
+0.0627524
+0.0636094
+0.0645294
+0.0655097
+0.0665478
+0.0676409
+0.0687864
+0.0699818
+0.0712245
+0.0725121
+0.0738422
+0.0749525
+0.075227
+0.075564
+0.0759627
+0.0764195
+0.088749
+0.087209
+0.0856974
+0.0842156
+0.0827652
+0.081348
+0.0799657
+0.0786201
+0.0773132
+0.076047
+0.0748235
+0.0736448
+0.0725111
+0.0714263
+0.0701132
+0.0685795
+0.0670823
+0.065624
+0.0642074
+0.0628353
+0.0615106
+0.0602364
+0.0590161
+0.0578531
+0.0567507
+0.0557128
+0.0547351
+0.0538195
+0.0529787
+0.0522163
+0.0515359
+0.0509406
+0.0504336
+0.0500174
+0.0496945
+0.0494665
+0.0493348
+0.0493003
+0.049352
+0.0494929
+0.04973
+0.0500619
+0.0504868
+0.0510024
+0.0516058
+0.0522942
+0.0530641
+0.0539121
+0.0548345
+0.0549884
+0.053984
+0.0530511
+0.0521936
+0.0514151
+0.0507111
+0.0500891
+0.0495562
+0.0491152
+0.0487688
+0.048519
+0.0483512
+0.0482791
+0.0483063
+0.0484328
+0.0486576
+0.0489795
+0.0493965
+0.0498932
+0.0504479
+0.050853
+0.0512841
+0.0517875
+0.0523705
+0.0530273
+0.0537654
+0.0545729
+0.0554469
+0.0563926
+0.0574063
+0.0584468
+0.0589761
+0.0595814
+0.0602602
+0.0610091
+0.0618176
+0.0626886
+0.0636219
+0.064616
+0.0656682
+0.0667757
+0.0679359
+0.0691459
+0.0704034
+0.0717057
+0.0730505
+0.0744334
+0.0756594
+0.0759823
+0.0763666
+0.0768116
+0.0900627
+0.0885455
+0.0870571
+0.0855988
+0.0841723
+0.0827792
+0.0814212
+0.0801001
+0.0788177
+0.0775761
+0.0763771
+0.0752227
+0.0741131
+0.0729053
+0.0713644
+0.0698582
+0.068389
+0.0669592
+0.0655714
+0.0642284
+0.0629331
+0.0616883
+0.0604973
+0.0593632
+0.0582895
+0.057278
+0.0563186
+0.0554291
+0.0546131
+0.0538739
+0.0532147
+0.0526384
+0.0521479
+0.0517455
+0.0514334
+0.0512131
+0.051086
+0.0510526
+0.051103
+0.0512391
+0.0514681
+0.051789
+0.0521998
+0.0526986
+0.0532828
+0.0539498
+0.0546964
+0.0555195
+0.0564156
+0.0557849
+0.0547951
+0.0538763
+0.0530321
+0.0522662
+0.0515738
+0.0509623
+0.0504386
+0.0500054
+0.0496652
+0.0494199
+0.0492552
+0.0491844
+0.0492112
+0.0493353
+0.049556
+0.0498721
+0.0502817
+0.0507698
+0.0513413
+0.0519216
+0.0523505
+0.0528437
+0.0534168
+0.054062
+0.0547872
+0.0555894
+0.0563955
+0.0566905
+0.0570682
+0.0575268
+0.0580645
+0.0586792
+0.059362
+0.0601129
+0.0609335
+0.0618208
+0.062772
+0.0637841
+0.0648508
+0.065972
+0.067146
+0.0683701
+0.0696415
+0.0709578
+0.0723166
+0.0737132
+0.0751454
+0.0764394
+0.0768214
+0.0772638
+0.0914099
+0.0899155
+0.0884501
+0.0870151
+0.0856122
+0.0842429
+0.0829089
+0.0816119
+0.0803537
+0.0791361
+0.0779611
+0.0768295
+0.0757213
+0.0741742
+0.0726601
+0.0711813
+0.06974
+0.0683385
+0.0669793
+0.0656651
+0.0643986
+0.0631828
+0.0620204
+0.0609148
+0.0598688
+0.0588746
+0.0579416
+0.0570775
+0.0562854
+0.0555684
+0.0549295
+0.0543714
+0.0538966
+0.0535074
+0.0532056
+0.0529928
+0.0528699
+0.0528376
+0.0528868
+0.0530183
+0.0532397
+0.0535499
+0.0539474
+0.0544301
+0.054996
+0.0556424
+0.0563666
+0.0571656
+0.0576961
+0.056655
+0.0556807
+0.0547768
+0.0539467
+0.0531911
+0.052507
+0.0519065
+0.0513925
+0.0509674
+0.0506337
+0.0503931
+0.0502385
+0.0501691
+0.0501954
+0.050317
+0.0505335
+0.0508435
+0.0512454
+0.0517237
+0.0522849
+0.0529308
+0.0534854
+0.0537874
+0.0541335
+0.0545654
+0.0550787
+0.05531
+0.0555244
+0.055824
+0.0562075
+0.0566731
+0.0572188
+0.057834
+0.0585226
+0.0592842
+0.060116
+0.0610152
+0.0619788
+0.0630039
+0.0640875
+0.0652267
+0.0664155
+0.0676528
+0.0689375
+0.070267
+0.0716389
+0.0730506
+0.0744965
+0.0759771
+0.0773357
+0.0777751
+0.092785
+0.091313
+0.0898704
+0.0884586
+0.0870789
+0.085733
+0.0844226
+0.0831492
+0.0819146
+0.0807205
+0.0795689
+0.0784539
+0.077006
+0.0754852
+0.073998
+0.0725465
+0.0711328
+0.0697593
+0.0684284
+0.0671425
+0.0659045
+0.0647169
+0.0635826
+0.0625046
+0.0614805
+0.0605084
+0.059601
+0.0587613
+0.0579922
+0.0572966
+0.0566771
+0.0561364
+0.0556767
+0.0553
+0.0550081
+0.0548022
+0.0546834
+0.0546522
+0.0547002
+0.0548274
+0.0550415
+0.0553416
+0.0557262
+0.0561937
+0.056742
+0.0573688
+0.0580714
+0.0588473
+0.0586197
+0.0575954
+0.0566372
+0.0557488
+0.0549332
+0.0541827
+0.0535113
+0.0529222
+0.0524181
+0.0520015
+0.0516744
+0.0514387
+0.0512953
+0.0512287
+0.0512544
+0.0513735
+0.0515856
+0.0518893
+0.052283
+0.0524611
+0.0524511
+0.0525326
+0.0527051
+0.0529678
+0.0533192
+0.0537576
+0.054281
+0.0545017
+0.0547193
+0.0550233
+0.0554123
+0.0558845
+0.0564348
+0.0570563
+0.0577541
+0.0585258
+0.0593682
+0.0602786
+0.0612538
+0.0622908
+0.0633851
+0.0645318
+0.0657315
+0.0669814
+0.0682788
+0.0696209
+0.0710052
+0.0724294
+0.073891
+0.075388
+0.0769182
+0.0783443
+0.0941906
+0.092741
+0.0913209
+0.0899318
+0.0885751
+0.0872523
+0.085965
+0.0847148
+0.0835034
+0.0823324
+0.0811988
+0.0798577
+0.078331
+0.0768364
+0.0753758
+0.0739514
+0.0725651
+0.0712192
+0.069916
+0.0686581
+0.0674478
+0.0662879
+0.065181
+0.0641298
+0.0631229
+0.0621765
+0.0612937
+0.0604775
+0.0597305
+0.0590554
+0.0584546
+0.0579305
+0.0574852
+0.0571204
+0.0568378
+0.0566386
+0.0565236
+0.0564935
+0.0565403
+0.0566633
+0.0568705
+0.057161
+0.0575335
+0.0579865
+0.0585179
+0.0591259
+0.0598079
+0.0605615
+0.0596096
+0.0586025
+0.0576611
+0.0567887
+0.0559798
+0.0552434
+0.0545851
+0.0540077
+0.0535138
+0.0531058
+0.0527856
+0.0525548
+0.0524147
+0.0523551
+0.0523802
+0.0524968
+0.0522496
+0.0519812
+0.0518041
+0.0517133
+0.0517032
+0.0517859
+0.0519609
+0.0522272
+0.0525836
+0.0530281
+0.0535586
+0.0537651
+0.0539856
+0.0542937
+0.0546879
+0.0551664
+0.0557237
+0.056353
+0.0570595
+0.0578404
+0.0586927
+0.0596134
+0.0605993
+0.0616425
+0.0627446
+0.0639028
+0.0651141
+0.0663757
+0.0676846
+0.0690382
+0.070434
+0.0718695
+0.0733423
+0.0748503
+0.0763913
+0.0779634
+0.0956257
+0.0941982
+0.0928005
+0.0914339
+0.0900998
+0.0887997
+0.0875351
+0.0863077
+0.0851189
+0.0839683
+0.082727
+0.0811952
+0.0796941
+0.0782256
+0.0767915
+0.0753937
+0.0740345
+0.0727158
+0.0714399
+0.0702093
+0.0690262
+0.0678933
+0.066813
+0.0657794
+0.0647977
+0.0638761
+0.0630172
+0.0622236
+0.0614978
+0.0608423
+0.0602593
+0.0597511
+0.0593194
+0.058966
+0.0586922
+0.0584993
+0.0583881
+0.0583588
+0.0584046
+0.0585237
+0.0587244
+0.0590057
+0.0593667
+0.0598057
+0.0603212
+0.0609111
+0.0615733
+0.0617126
+0.0606625
+0.0596732
+0.0587489
+0.057887
+0.0570912
+0.0563694
+0.0557244
+0.0551589
+0.0546754
+0.0542761
+0.0539629
+0.0537372
+0.0535688
+0.0529457
+0.0524068
+0.0519548
+0.0515919
+0.05132
+0.0511406
+0.0510486
+0.0510384
+0.0511222
+0.0512994
+0.0515692
+0.0519301
+0.0523801
+0.0529172
+0.0531087
+0.0533319
+0.0536438
+0.0540427
+0.0545268
+0.0550907
+0.0557271
+0.0564414
+0.0572307
+0.058092
+0.059019
+0.0600094
+0.0610624
+0.0621747
+0.0633433
+0.0645652
+0.0658372
+0.0671566
+0.0685207
+0.0699268
+0.0713725
+0.0728554
+0.0743732
+0.0759239
+0.0775046
+0.0970891
+0.0956834
+0.0943077
+0.0929632
+0.0916514
+0.0903737
+0.0891315
+0.0879263
+0.0867596
+0.0856124
+0.084076
+0.0825692
+0.0810935
+0.0796508
+0.0782428
+0.0768715
+0.0755388
+0.0742468
+0.0729978
+0.0717938
+0.0706373
+0.0695306
+0.0684731
+0.0674595
+0.0665026
+0.0656049
+0.0647689
+0.063997
+0.0632916
+0.0626548
+0.0620889
+0.0615957
+0.061177
+0.0608344
+0.0605692
+0.0603823
+0.0602744
+0.0602462
+0.0602909
+0.0604063
+0.0606007
+0.0608734
+0.0612233
+0.0616491
+0.0621493
+0.062722
+0.0633654
+0.0628067
+0.0617751
+0.0608039
+0.0598938
+0.0590438
+0.0582638
+0.0575567
+0.0569252
+0.0563718
+0.0558988
+0.0553861
+0.0545202
+0.0537298
+0.0530181
+0.0523884
+0.0518437
+0.0513867
+0.0510198
+0.0507448
+0.0505634
+0.0504704
+0.05046
+0.0505447
+0.050724
+0.0509968
+0.0513617
+0.0518168
+0.0523596
+0.0525355
+0.0527611
+0.0530763
+0.0534795
+0.0539686
+0.0545383
+0.0551811
+0.0559024
+0.0566947
+0.0575585
+0.0584916
+0.0594908
+0.0605528
+0.0616744
+0.0628523
+0.0640835
+0.0653649
+0.0666937
+0.068067
+0.0694823
+0.070937
+0.0724288
+0.0739545
+0.0755123
+0.0771009
+0.0985795
+0.0971953
+0.0958413
+0.0945187
+0.0932287
+0.0919729
+0.0907526
+0.0895692
+0.0884192
+0.0869717
+0.0854598
+0.0839778
+0.0825273
+0.0811101
+0.0797279
+0.0783826
+0.077076
+0.0758103
+0.0745874
+0.0734095
+0.0722789
+0.0711977
+0.070157
+0.069168
+0.0682351
+0.0673605
+0.0665466
+0.0657956
+0.0651096
+0.0644908
+0.0639412
+0.0634624
+0.0630561
+0.0627237
+0.0624665
+0.0622853
+0.0621808
+0.0621533
+0.0621971
+0.0623089
+0.0624975
+0.0627619
+0.0631013
+0.0635146
+0.0640002
+0.0645565
+0.0650241
+0.063957
+0.0629443
+0.0619905
+0.0610912
+0.0602581
+0.059494
+0.0588017
+0.0579668
+0.0569003
+0.0558864
+0.0549411
+0.054068
+0.0532708
+0.0525529
+0.0519176
+0.0513679
+0.0509067
+0.0505362
+0.0502587
+0.0500755
+0.0499815
+0.0499711
+0.0500566
+0.0502376
+0.0505131
+0.0508815
+0.0513407
+0.0518885
+0.0520482
+0.052276
+0.0525941
+0.0530009
+0.0534945
+0.0540647
+0.0547073
+0.0554291
+0.056227
+0.0570979
+0.0580384
+0.0590453
+0.0601151
+0.0612447
+0.0624307
+0.06367
+0.0649596
+0.0662965
+0.0676779
+0.0691012
+0.0705638
+0.0720633
+0.0735966
+0.0751618
+0.0767576
+0.100096
+0.0987327
+0.0974
+0.0960988
+0.0948304
+0.0935961
+0.0923972
+0.0912325
+0.089881
+0.0883645
+0.0868768
+0.0854194
+0.0839939
+0.0826018
+0.081245
+0.0799252
+0.0786443
+0.0774041
+0.0762068
+0.0750544
+0.0739489
+0.0728864
+0.0718682
+0.0709032
+0.0699934
+0.069141
+0.0683483
+0.0676173
+0.06695
+0.0663484
+0.0658142
+0.0653492
+0.0649547
+0.0646321
+0.0643825
+0.0642067
+0.0641053
+0.0640787
+0.0641215
+0.06423
+0.0644129
+0.0646695
+0.064999
+0.0654002
+0.0658719
+0.0664126
+0.0662084
+0.0650808
+0.0639013
+0.0627761
+0.0617082
+0.0607007
+0.0597564
+0.058757
+0.0576251
+0.0565521
+0.0555318
+0.0545803
+0.0537014
+0.0528987
+0.0521757
+0.0515357
+0.0509819
+0.0505171
+0.0501438
+0.0498641
+0.0496794
+0.0495847
+0.0495742
+0.0496604
+0.0498429
+0.0501205
+0.0504917
+0.0509545
+0.0515037
+0.051641
+0.0518706
+0.0521911
+0.0526011
+0.0530983
+0.0536635
+0.0543109
+0.0550378
+0.0558413
+0.0567181
+0.0576649
+0.0586781
+0.0597546
+0.0608908
+0.0620836
+0.0633297
+0.0646261
+0.0659698
+0.0673579
+0.0687878
+0.0702569
+0.0717628
+0.0733024
+0.0748738
+0.0764756
+0.101636
+0.100294
+0.0989827
+0.0977026
+0.0964553
+0.095242
+0.0940637
+0.0928025
+0.091282
+0.0897891
+0.0883255
+0.0868924
+0.0854914
+0.0841241
+0.0827922
+0.0814975
+0.0802417
+0.0790266
+0.0778543
+0.0767266
+0.0756442
+0.0745994
+0.0736049
+0.0726629
+0.0717754
+0.0709445
+0.0701721
+0.0694603
+0.0688109
+0.0682257
+0.0677063
+0.0672544
+0.0668711
+0.0665578
+0.0663155
+0.0661448
+0.0660464
+0.0660206
+0.0660625
+0.0661678
+0.0663453
+0.0665945
+0.0669145
+0.0673044
+0.0677628
+0.0673838
+0.0661003
+0.0648654
+0.0636819
+0.0625528
+0.061481
+0.0604696
+0.0595217
+0.058502
+0.057365
+0.0562871
+0.0552618
+0.0543056
+0.0534222
+0.0526153
+0.0518883
+0.0512447
+0.0506878
+0.0502203
+0.0498447
+0.0495633
+0.0493775
+0.0492822
+0.0492716
+0.0493584
+0.0495419
+0.0498212
+0.0501947
+0.0506602
+0.0511762
+0.0513144
+0.0515455
+0.0518681
+0.0522805
+0.0527808
+0.0533493
+0.0540005
+0.0547316
+0.0555395
+0.056421
+0.0573726
+0.058391
+0.0594726
+0.0606141
+0.0618123
+0.0630637
+0.0643655
+0.0657145
+0.0671079
+0.068543
+0.0700172
+0.0715282
+0.0730727
+0.0746489
+0.0762555
+0.1032
+0.101879
+0.100588
+0.0993288
+0.0981021
+0.0969094
+0.095735
+0.0942109
+0.0927135
+0.0912441
+0.0898042
+0.088395
+0.0870182
+0.0856753
+0.0843679
+0.0830978
+0.0818665
+0.0806759
+0.0795279
+0.0784243
+0.0773581
+0.0763367
+0.0753652
+0.0744455
+0.0735795
+0.0727692
+0.0720164
+0.071323
+0.0706907
+0.0701212
+0.069616
+0.0691765
+0.0688039
+0.0684995
+0.068264
+0.0680982
+0.0680026
+0.0679776
+0.0680186
+0.0681209
+0.0682934
+0.0685355
+0.0688465
+0.0692254
+0.0685771
+0.0672466
+0.065961
+0.0647234
+0.0635373
+0.0624056
+0.0613312
+0.0603173
+0.059367
+0.0583281
+0.0571877
+0.0561063
+0.0550777
+0.0541183
+0.0532318
+0.0524219
+0.0516922
+0.0510462
+0.050487
+0.0500176
+0.0496406
+0.0493579
+0.0491714
+0.0490692
+0.0490586
+0.0491457
+0.04933
+0.0496105
+0.0499855
+0.050453
+0.050941
+0.0510798
+0.0513119
+0.051636
+0.0520503
+0.0525527
+0.0531237
+0.0537776
+0.0545117
+0.0553228
+0.0562077
+0.0571629
+0.0581849
+0.0592703
+0.0604157
+0.0616176
+0.062873
+0.0641786
+0.0655314
+0.0669287
+0.0683675
+0.0698455
+0.0713601
+0.0729081
+0.0744878
+0.0760978
+0.104787
+0.103486
+0.102215
+0.100976
+0.0997699
+0.0985944
+0.0971504
+0.0956488
+0.0941743
+0.092728
+0.0913115
+0.089926
+0.088573
+0.087254
+0.0859706
+0.0847245
+0.0835172
+0.0823505
+0.0812261
+0.0801417
+0.0790956
+0.0780969
+0.0771476
+0.0762494
+0.0754041
+0.0746136
+0.0738796
+0.0732039
+0.072588
+0.0720334
+0.0715417
+0.0711141
+0.0707518
+0.0704558
+0.0702268
+0.0700657
+0.0699728
+0.0699484
+0.0699887
+0.0700881
+0.0702558
+0.0704911
+0.0707935
+0.0698742
+0.0684989
+0.067167
+0.065881
+0.0646437
+0.0634579
+0.0623258
+0.0612498
+0.0602343
+0.0592823
+0.0582362
+0.0570939
+0.0559981
+0.0549675
+0.0540061
+0.0531177
+0.0523061
+0.0515747
+0.0509272
+0.0503667
+0.0498962
+0.0495182
+0.0492349
+0.0490479
+0.048941
+0.0489303
+0.0490177
+0.0492025
+0.0494837
+0.0498597
+0.0503283
+0.0507992
+0.0509385
+0.0511712
+0.0514961
+0.0519116
+0.0524153
+0.0529878
+0.0536433
+0.0543792
+0.0551923
+0.0560792
+0.0570366
+0.0580608
+0.0591485
+0.0602962
+0.0615005
+0.0627582
+0.0640661
+0.0654213
+0.0668208
+0.0682619
+0.0697421
+0.0712589
+0.0728092
+0.074391
+0.076003
+0.106395
+0.105114
+0.103863
+0.102644
+0.101457
+0.100099
+0.0985941
+0.0971149
+0.0956629
+0.0942395
+0.092846
+0.0914838
+0.0901541
+0.0888587
+0.0875988
+0.0863761
+0.0851923
+0.0840488
+0.0829475
+0.0818787
+0.0808551
+0.0798784
+0.0789505
+0.078073
+0.0772477
+0.0764763
+0.0757603
+0.0751015
+0.0745013
+0.0739611
+0.0734823
+0.0730661
+0.0727135
+0.0724255
+0.0722028
+0.0720461
+0.0719557
+0.071932
+0.0719715
+0.0720682
+0.0722312
+0.0724602
+0.0712824
+0.0698662
+0.0684908
+0.0671587
+0.0658726
+0.0646351
+0.0634492
+0.0623168
+0.0612407
+0.060225
+0.0592729
+0.0582265
+0.0570682
+0.0559716
+0.0549405
+0.0539786
+0.0530898
+0.0522777
+0.051546
+0.0508981
+0.0503373
+0.0498665
+0.0494882
+0.0492047
+0.0490176
+0.0489107
+0.0489
+0.0489874
+0.0491723
+0.0494537
+0.0498299
+0.0502988
+0.0507517
+0.0508911
+0.051124
+0.0514493
+0.0518651
+0.0523693
+0.0529423
+0.0535983
+0.0543348
+0.0551486
+0.0560362
+0.0569943
+0.0580193
+0.0591077
+0.0602561
+0.0614612
+0.0627197
+0.0640285
+0.0653844
+0.0667847
+0.0682266
+0.0697075
+0.0712251
+0.072776
+0.0743585
+0.0759712
+0.108024
+0.106762
+0.105531
+0.104331
+0.103057
+0.101548
+0.100065
+0.0986077
+0.0971781
+0.0957773
+0.0944065
+0.093067
+0.0917604
+0.0904879
+0.089251
+0.0880513
+0.0868903
+0.0857694
+0.0846837
+0.0836371
+0.0826352
+0.0816798
+0.0807726
+0.0799151
+0.079109
+0.0783559
+0.0776573
+0.0770147
+0.0764295
+0.0759031
+0.0754366
+0.0750312
+0.0746879
+0.0744075
+0.0741908
+0.0740383
+0.0739504
+0.0739273
+0.073966
+0.0740601
+0.0742188
+0.0727953
+0.0713419
+0.0699269
+0.0685527
+0.0672219
+0.0659369
+0.0647007
+0.063516
+0.0623849
+0.0613099
+0.0602954
+0.0593445
+0.0582834
+0.0571263
+0.0560308
+0.0550008
+0.05404
+0.0531522
+0.0523411
+0.0516102
+0.0509632
+0.0504031
+0.0499329
+0.0495552
+0.0492721
+0.0490852
+0.0489784
+0.0489677
+0.049055
+0.0492397
+0.0495207
+0.0498964
+0.0503647
+0.0507987
+0.050938
+0.0511707
+0.0514956
+0.0519111
+0.0524148
+0.0529873
+0.0536428
+0.0543787
+0.0551918
+0.0560788
+0.0570361
+0.0580604
+0.0591481
+0.0602957
+0.0615001
+0.0627578
+0.0640657
+0.0654209
+0.0668204
+0.0682616
+0.0697418
+0.0712586
+0.0728088
+0.0743906
+0.0760026
+0.109672
+0.10843
+0.107218
+0.106023
+0.104511
+0.103024
+0.101562
+0.100126
+0.0987187
+0.09734
+0.0959915
+0.0946745
+0.0933904
+0.0921404
+0.090926
+0.0897487
+0.0886099
+0.0875085
+0.0864405
+0.0854154
+0.0844346
+0.0834998
+0.0826126
+0.0817744
+0.0809868
+0.0802514
+0.0795694
+0.0789424
+0.0783716
+0.0778582
+0.0774036
+0.0770085
+0.076674
+0.076401
+0.0761899
+0.0760414
+0.0759558
+0.0759334
+0.0759714
+0.0759277
+0.0744065
+0.0729194
+0.0714685
+0.0700561
+0.0686845
+0.0673562
+0.0660739
+0.0648403
+0.0636582
+0.0625296
+0.0614572
+0.0604452
+0.0594966
+0.0584225
+0.0572682
+0.0561755
+0.0551481
+0.05419
+0.0533046
+0.0524959
+0.0517672
+0.0511221
+0.0505638
+0.0500951
+0.0497187
+0.0494365
+0.0492502
+0.0491438
+0.0491332
+0.0492202
+0.0494042
+0.0496843
+0.0500588
+0.0505255
+0.0509262
+0.0510651
+0.0512973
+0.0516214
+0.0520358
+0.0525384
+0.0531228
+0.0537766
+0.0545107
+0.0553219
+0.0562068
+0.057162
+0.058184
+0.0592694
+0.0604148
+0.0616168
+0.0628722
+0.0641778
+0.0655306
+0.0669279
+0.0683668
+0.0698447
+0.0713593
+0.0729074
+0.0744871
+0.0760971
+0.111339
+0.110115
+0.108921
+0.107481
+0.10599
+0.104524
+0.103083
+0.101669
+0.100283
+0.0989266
+0.0976
+0.096305
+0.0950429
+0.0938149
+0.0926225
+0.091467
+0.0903499
+0.0892635
+0.0882167
+0.0872125
+0.0862521
+0.0853373
+0.0844693
+0.0836498
+0.08288
+0.0821615
+0.0814955
+0.0808834
+0.0803264
+0.0798256
+0.0793822
+0.0789971
+0.078671
+0.0784049
+0.0781993
+0.0780546
+0.0779712
+0.0779494
+0.0776594
+0.0761097
+0.0745922
+0.0731089
+0.0716619
+0.0702533
+0.0688857
+0.0675614
+0.0662831
+0.0650534
+0.0638752
+0.0627506
+0.061682
+0.0606737
+0.0597288
+0.0586431
+0.0574932
+0.0564049
+0.0553818
+0.0544277
+0.0535464
+0.0527413
+0.0520161
+0.0513741
+0.0508186
+0.0503523
+0.0499777
+0.049697
+0.0495117
+0.0494059
+0.0493953
+0.0494818
+0.0496649
+0.0499435
+0.0503161
+0.0507805
+0.0511429
+0.0512812
+0.0515123
+0.0518351
+0.0522479
+0.0527484
+0.0533334
+0.0539847
+0.054716
+0.0555241
+0.0564059
+0.0573577
+0.0583764
+0.0594583
+0.0606001
+0.0617985
+0.0630502
+0.0643522
+0.0657015
+0.0670952
+0.0685305
+0.070005
+0.0715163
+0.0730619
+0.0746399
+0.0762481
+0.113024
+0.111818
+0.110459
+0.108964
+0.107494
+0.106048
+0.104629
+0.103236
+0.101871
+0.100536
+0.0992308
+0.0979574
+0.0967168
+0.0955104
+0.0943394
+0.0932052
+0.0921041
+0.0910373
+0.0900112
+0.0890272
+0.0880866
+0.087191
+0.0863417
+0.0855401
+0.0847875
+0.0840853
+0.0834346
+0.0828369
+0.0822931
+0.0818044
+0.0813717
+0.0809961
+0.0806781
+0.0804186
+0.0802182
+0.0800771
+0.0799959
+0.0794739
+0.077899
+0.0763542
+0.0748417
+0.0733634
+0.0719215
+0.0705182
+0.0691557
+0.0678367
+0.0665637
+0.0653393
+0.0641664
+0.0630469
+0.0619834
+0.0609801
+0.06004
+0.0589444
+0.0578005
+0.056718
+0.0557007
+0.0547522
+0.0538761
+0.0530761
+0.0523555
+0.0517178
+0.0511659
+0.0507028
+0.0503309
+0.0500522
+0.0498682
+0.0497631
+0.0497526
+0.0498385
+0.0500203
+0.050297
+0.0506669
+0.0511281
+0.0514519
+0.0515894
+0.0518192
+0.0521401
+0.0525505
+0.0530482
+0.053625
+0.0542728
+0.0550003
+0.0558043
+0.0566817
+0.057629
+0.0586429
+0.05972
+0.0608568
+0.0620503
+0.0632971
+0.0645941
+0.0659384
+0.0673272
+0.0687577
+0.0702274
+0.071734
+0.073275
+0.0748485
+0.0764523
+0.114725
+0.11344
+0.111943
+0.110469
+0.109019
+0.107593
+0.106194
+0.104822
+0.103479
+0.102164
+0.10088
+0.099628
+0.0984085
+0.097223
+0.0960729
+0.0949594
+0.0938754
+0.092829
+0.0918229
+0.0908585
+0.0899371
+0.0890601
+0.0882288
+0.0874444
+0.0867084
+0.0860218
+0.085386
+0.084802
+0.0842709
+0.0837937
+0.0833714
+0.0830047
+0.0826945
+0.0824414
+0.0822458
+0.0821083
+0.0813567
+0.0797682
+0.0781993
+0.0766606
+0.0751542
+0.0736822
+0.0722467
+0.0708498
+0.0694938
+0.0681814
+0.0669141
+0.0656943
+0.0645258
+0.0634114
+0.0623542
+0.0613569
+0.0604227
+0.059325
+0.0581887
+0.0571136
+0.0561034
+0.0551618
+0.0542924
+0.0534985
+0.0527837
+0.0521512
+0.051604
+0.0511449
+0.0507762
+0.0504999
+0.0503176
+0.0502134
+0.050203
+0.0502882
+0.0504684
+0.0507426
+0.0511093
+0.0515665
+0.0518518
+0.0519882
+0.0522163
+0.0525347
+0.052942
+0.0534361
+0.0540039
+0.0546472
+0.0553698
+0.0561686
+0.0570403
+0.0579818
+0.0589896
+0.0600605
+0.061191
+0.0623781
+0.0636184
+0.064909
+0.066247
+0.0676294
+0.0690537
+0.0705172
+0.0720177
+0.0735528
+0.0751205
+0.0767186
+0.116427
+0.114927
+0.113449
+0.111995
+0.110564
+0.109159
+0.107781
+0.106429
+0.105106
+0.103812
+0.102549
+0.101317
+0.100118
+0.0989533
+0.0978235
+0.0967294
+0.0956641
+0.0946374
+0.0936507
+0.0927053
+0.0918025
+0.0909435
+0.0901296
+0.0893619
+0.0886418
+0.0879703
+0.0873486
+0.0867778
+0.0862589
+0.0857928
+0.0853804
+0.0850224
+0.0847196
+0.0844725
+0.0842817
+0.0833115
+0.081703
+0.0801214
+0.0785596
+0.0770281
+0.075529
+0.0740645
+0.0726365
+0.0712459
+0.0698958
+0.0685891
+0.0673283
+0.0661161
+0.0649552
+0.0638484
+0.0627985
+0.0618084
+0.0608811
+0.0597836
+0.0586561
+0.0575898
+0.0565881
+0.0556547
+0.0547931
+0.0540066
+0.0532986
+0.0526723
+0.0521306
+0.0516761
+0.0513112
+0.0510379
+0.0508575
+0.0507544
+0.0507441
+0.0508284
+0.0510066
+0.051278
+0.0516409
+0.0520935
+0.0523404
+0.0524755
+0.0527015
+0.053017
+0.0534206
+0.0539103
+0.0544684
+0.0551063
+0.0558229
+0.0566153
+0.0574803
+0.0584146
+0.0594151
+0.0604785
+0.0616014
+0.0627806
+0.0640132
+0.065296
+0.0666262
+0.0680009
+0.0694175
+0.0708736
+0.0723667
+0.0738945
+0.0754551
+0.0770463
+0.117916
+0.116435
+0.114977
+0.113542
+0.112132
+0.110747
+0.109388
+0.108057
+0.106754
+0.10548
+0.104237
+0.103025
+0.101846
+0.100701
+0.0995916
+0.098515
+0.0974691
+0.0964617
+0.0954939
+0.0945669
+0.093682
+0.0928404
+0.0920432
+0.0912917
+0.0905869
+0.0899299
+0.0893219
+0.0887638
+0.0882566
+0.087801
+0.0873981
+0.0870484
+0.0867527
+0.0865114
+0.0853341
+0.0837071
+0.0821063
+0.0805326
+0.078979
+0.0774558
+0.0759634
+0.0745057
+0.0730845
+0.0717021
+0.0703607
+0.0690628
+0.0678108
+0.0666074
+0.0654552
+0.0643569
+0.0633155
+0.0623336
+0.0614142
+0.0603183
+0.059201
+0.0581446
+0.0571527
+0.0562287
+0.055376
+0.0545979
+0.0538977
+0.0532784
+0.0527429
+0.0522938
+0.0519333
+0.0516632
+0.051485
+0.0513832
+0.051373
+0.0514562
+0.0516323
+0.0519004
+0.052259
+0.0527062
+0.0529152
+0.0530489
+0.0532724
+0.0535846
+0.053984
+0.0544655
+0.0550163
+0.0556479
+0.0563576
+0.0571426
+0.0579997
+0.0589258
+0.0599178
+0.0609724
+0.0620863
+0.0632566
+0.06448
+0.0657537
+0.0670748
+0.0684405
+0.0698482
+0.0712955
+0.0727799
+0.0742993
+0.0758515
+0.0774346
+0.119427
+0.117965
+0.116526
+0.115111
+0.11372
+0.112354
+0.111015
+0.109704
+0.10842
+0.107166
+0.105943
+0.104751
+0.103592
+0.102467
+0.101376
+0.100317
+0.0992897
+0.0983009
+0.0973514
+0.0964423
+0.0955748
+0.09475
+0.093969
+0.093233
+0.092543
+0.0919
+0.0913051
+0.0907592
+0.0902632
+0.0898178
+0.089424
+0.0890822
+0.0887933
+0.0874196
+0.0857762
+0.0841578
+0.0825657
+0.0809993
+0.0794528
+0.0779371
+0.0764542
+0.075006
+0.0735944
+0.0722218
+0.0708903
+0.0696022
+0.0683601
+0.0671666
+0.0660241
+0.0649355
+0.0639034
+0.0629308
+0.0620202
+0.0609272
+0.0598212
+0.058776
+0.0577949
+0.0568814
+0.0560386
+0.0552698
+0.0545782
+0.0539668
+0.0534381
+0.0529949
+0.0526392
+0.0523727
+0.0521969
+0.0520965
+0.0520865
+0.0521686
+0.0523423
+0.0526067
+0.0529605
+0.0534019
+0.0535736
+0.0537056
+0.0539264
+0.0542348
+0.0546294
+0.0551006
+0.0556451
+0.0562696
+0.0569716
+0.0577482
+0.0585965
+0.0595133
+0.0604957
+0.0615403
+0.0626442
+0.0638042
+0.0650174
+0.0662807
+0.0675915
+0.068947
+0.0703446
+0.0717818
+0.0732564
+0.0747661
+0.0763088
+0.0778826
+0.120948
+0.119516
+0.118096
+0.116699
+0.115327
+0.113981
+0.112661
+0.111369
+0.110105
+0.108871
+0.107667
+0.106494
+0.105354
+0.104248
+0.103176
+0.102133
+0.101125
+0.100154
+0.0992225
+0.0983308
+0.09748
+0.0966715
+0.0959062
+0.0951851
+0.0945094
+0.0938799
+0.0932976
+0.0927634
+0.0922781
+0.0918426
+0.0914574
+0.0911233
+0.0895626
+0.0879043
+0.0862698
+0.0846605
+0.0830777
+0.0815186
+0.0799821
+0.0784767
+0.0770042
+0.0755665
+0.0741656
+0.0728037
+0.071483
+0.0702059
+0.0689747
+0.0677919
+0.0666602
+0.0655821
+0.0645604
+0.0635978
+0.0626969
+0.0616079
+0.0605144
+0.0594814
+0.0585121
+0.0576099
+0.056778
+0.0560194
+0.0553371
+0.0547341
+0.054213
+0.0537762
+0.0534256
+0.0531631
+0.05299
+0.0528911
+0.0528812
+0.052962
+0.0531331
+0.0533937
+0.0537423
+0.0541773
+0.0543114
+0.0544417
+0.0546595
+0.0549638
+0.0553532
+0.0558145
+0.056352
+0.0569688
+0.0576623
+0.0584298
+0.0592683
+0.0601749
+0.0611466
+0.0621803
+0.063273
+0.0644217
+0.0656234
+0.0668754
+0.0681747
+0.0695188
+0.0709051
+0.0723313
+0.0737949
+0.0752937
+0.0768259
+0.0783893
+0.122125
+0.121086
+0.119685
+0.118307
+0.116954
+0.115627
+0.114326
+0.113053
+0.111808
+0.110593
+0.109408
+0.108254
+0.107133
+0.106045
+0.104991
+0.103965
+0.102974
+0.102021
+0.101107
+0.100231
+0.099397
+0.0986042
+0.097854
+0.0971474
+0.0964854
+0.0958689
+0.0952988
+0.0947758
+0.0943009
+0.0938748
+0.0934516
+0.0917591
+0.090088
+0.0884396
+0.0868152
+0.0852161
+0.0836439
+0.0820931
+0.0805676
+0.0790733
+0.0776121
+0.0761859
+0.0747966
+0.0734464
+0.0721375
+0.0708722
+0.0696527
+0.0684817
+0.0673615
+0.0662949
+0.0652843
+0.0643325
+0.0634421
+0.0623583
+0.0612781
+0.0602582
+0.0593017
+0.0584117
+0.0575913
+0.0568435
+0.0561713
+0.0555773
+0.0550642
+0.0546342
+0.0542892
+0.0540309
+0.0538605
+0.0537632
+0.0537535
+0.053833
+0.0540014
+0.0542577
+0.0546008
+0.0550291
+0.0551127
+0.055241
+0.0554557
+0.0557557
+0.0561396
+0.0566041
+0.0571343
+0.0577428
+0.0584271
+0.0591846
+0.0600125
+0.0609081
+0.0618683
+0.0628901
+0.0639707
+0.0651071
+0.0662964
+0.0675359
+0.0688227
+0.0701544
+0.0715284
+0.0729424
+0.0743939
+0.075881
+0.0774015
+0.0789535
+0.12333
+0.122676
+0.121292
+0.119933
+0.118599
+0.11729
+0.116008
+0.114753
+0.113527
+0.112331
+0.111164
+0.110029
+0.108926
+0.107856
+0.106819
+0.10581
+0.104837
+0.103901
+0.103003
+0.102144
+0.101325
+0.100548
+0.0998119
+0.0991193
+0.0984705
+0.0978665
+0.0973081
+0.0967961
+0.0963311
+0.0957093
+0.0940064
+0.092324
+0.0906633
+0.0890256
+0.087412
+0.0858241
+0.0842632
+0.0827217
+0.081208
+0.0797257
+0.0782767
+0.0768627
+0.075486
+0.0741483
+0.072852
+0.0715993
+0.0703925
+0.0692339
+0.0681261
+0.0670716
+0.066073
+0.0651327
+0.0642534
+0.0631757
+0.0621098
+0.0611037
+0.0601606
+0.0592835
+0.0584754
+0.0577391
+0.0570774
+0.056493
+0.0559882
+0.0555653
+0.0552261
+0.0549722
+0.0548048
+0.0547092
+0.0546996
+0.0547778
+0.0549432
+0.0551952
+0.0555325
+0.0559474
+0.0559882
+0.0561145
+0.0563259
+0.0566212
+0.0569993
+0.0574585
+0.0579889
+0.0585884
+0.059263
+0.0600099
+0.0608267
+0.0617104
+0.0626583
+0.0636675
+0.0647351
+0.0658583
+0.0670343
+0.0682603
+0.0695338
+0.0708521
+0.0722128
+0.0736136
+0.0750522
+0.0765265
+0.0780344
+0.0795741
+0.124561
+0.124283
+0.122918
+0.121577
+0.120261
+0.11897
+0.117707
+0.11647
+0.115263
+0.114084
+0.112936
+0.111818
+0.110733
+0.109681
+0.108659
+0.107667
+0.106711
+0.105792
+0.10491
+0.104067
+0.103264
+0.102501
+0.101779
+0.1011
+0.100464
+0.0998723
+0.0993251
+0.0988235
+0.098013
+0.0963009
+0.0946086
+0.0929371
+0.0912876
+0.0896612
+0.0880594
+0.0864833
+0.084932
+0.0834031
+0.0819019
+0.0804324
+0.0789964
+0.0775956
+0.076232
+0.0749077
+0.0736248
+0.0723854
+0.0711919
+0.0700466
+0.0689519
+0.0679102
+0.0669241
+0.0659959
+0.0651283
+0.0640576
+0.0630066
+0.0620151
+0.0610861
+0.0602225
+0.0594271
+0.0587027
+0.058052
+0.0574775
+0.0569815
+0.056566
+0.0562329
+0.0559836
+0.0558191
+0.0557253
+0.0557159
+0.0557926
+0.0559551
+0.0562025
+0.0565338
+0.0568944
+0.0569345
+0.0570588
+0.0572666
+0.0575572
+0.0579292
+0.058381
+0.0589109
+0.0595028
+0.060167
+0.0609029
+0.0617078
+0.0625791
+0.063514
+0.0645098
+0.0655637
+0.066673
+0.0678348
+0.0690467
+0.0703059
+0.07161
+0.0729566
+0.0743434
+0.0757681
+0.0772287
+0.0787232
+0.0802497
+0.125819
+0.125627
+0.124561
+0.123238
+0.12194
+0.120667
+0.119422
+0.118203
+0.117013
+0.115852
+0.114722
+0.113622
+0.112554
+0.111519
+0.110513
+0.109538
+0.108598
+0.107695
+0.106829
+0.106001
+0.105212
+0.104463
+0.103756
+0.10309
+0.102466
+0.101886
+0.101349
+0.100359
+0.0986394
+0.0969384
+0.0952574
+0.0935975
+0.0919598
+0.0903454
+0.0887527
+0.0871857
+0.0856461
+0.0841311
+0.0826432
+0.0811871
+0.0797647
+0.0783776
+0.0770279
+0.0757175
+0.0744485
+0.0732231
+0.0720435
+0.0709119
+0.0698308
+0.0688024
+0.0678292
+0.0669136
+0.066058
+0.0650014
+0.063966
+0.0629896
+0.0620751
+0.0612254
+0.0604433
+0.0597312
+0.0590919
+0.0585276
+0.0580405
+0.0576327
+0.0573057
+0.0570611
+0.0568998
+0.0568077
+0.0567985
+0.0568738
+0.0570332
+0.0572759
+0.0576011
+0.0579089
+0.0579483
+0.0580704
+0.0582746
+0.0585602
+0.0589258
+0.0593701
+0.0598913
+0.0604827
+0.0611363
+0.0618606
+0.0626533
+0.0635116
+0.064433
+0.0654148
+0.0664543
+0.0675489
+0.068696
+0.0698929
+0.0711371
+0.0724263
+0.073758
+0.07513
+0.0765401
+0.0779862
+0.0794664
+0.0809789
+0.127102
+0.126912
+0.126221
+0.124915
+0.123635
+0.12238
+0.121152
+0.119951
+0.118778
+0.117635
+0.116522
+0.115439
+0.114388
+0.11337
+0.112378
+0.111419
+0.110496
+0.109608
+0.108757
+0.107944
+0.10717
+0.106435
+0.10574
+0.105087
+0.104475
+0.103906
+0.102746
+0.101019
+0.0993102
+0.0976209
+0.0959518
+0.0943033
+0.0926749
+0.09107
+0.0894899
+0.0879361
+0.0864099
+0.0849085
+0.0834344
+0.0819924
+0.0805842
+0.0792115
+0.0778762
+0.0765803
+0.0753259
+0.074115
+0.0729498
+0.0718325
+0.0707654
+0.0697508
+0.0687911
+0.0678885
+0.0670453
+0.0660042
+0.0649844
+0.0640231
+0.0631231
+0.0622872
+0.0615179
+0.0608178
+0.0601894
+0.0596348
+0.0591563
+0.0587556
+0.0584343
+0.0581937
+0.0580349
+0.0579465
+0.0579375
+0.0580113
+0.0581675
+0.0584056
+0.0587245
+0.0589873
+0.059026
+0.0591459
+0.0593464
+0.0596268
+0.059986
+0.0604225
+0.0609346
+0.0615206
+0.0621677
+0.0628801
+0.06366
+0.064505
+0.0654124
+0.0663797
+0.0674044
+0.0684838
+0.0696154
+0.0707968
+0.0720254
+0.073299
+0.0746151
+0.0759716
+0.0773664
+0.0787973
+0.0802626
+0.0817603
+0.128409
+0.128221
+0.127897
+0.126608
+0.125345
+0.124107
+0.122896
+0.121713
+0.120558
+0.119431
+0.118335
+0.117269
+0.116235
+0.115232
+0.114255
+0.113312
+0.112404
+0.111532
+0.110696
+0.109897
+0.109137
+0.108415
+0.107733
+0.107092
+0.106492
+0.105169
+0.103436
+0.101721
+0.100024
+0.0983458
+0.0966861
+0.095048
+0.0934325
+0.0918409
+0.0902743
+0.0887342
+0.087222
+0.0857348
+0.0842752
+0.0828478
+0.0814544
+0.0800966
+0.0787763
+0.0774955
+0.0762561
+0.0750602
+0.0739099
+0.0728074
+0.0717548
+0.0707544
+0.0698084
+0.0689191
+0.0680887
+0.0670507
+0.0660467
+0.0651009
+0.064216
+0.0633944
+0.0626387
+0.0619513
+0.0613345
+0.0607904
+0.060321
+0.0599281
+0.0596131
+0.0593773
+0.0592217
+0.0591347
+0.0591259
+0.0591982
+0.0593513
+0.0595846
+0.0598973
+0.0601262
+0.0601642
+0.0602818
+0.0604786
+0.0607537
+0.0611063
+0.0615348
+0.0620378
+0.0626134
+0.0632581
+0.0639584
+0.0647253
+0.0655565
+0.0664496
+0.067402
+0.0684114
+0.0694752
+0.0705909
+0.0717562
+0.0729687
+0.0742261
+0.075526
+0.0768665
+0.0782453
+0.0796605
+0.0811101
+0.0825925
+0.129741
+0.129555
+0.129406
+0.128316
+0.12707
+0.125849
+0.124655
+0.123489
+0.12235
+0.121241
+0.120161
+0.119111
+0.118093
+0.117104
+0.116143
+0.115216
+0.114323
+0.113465
+0.112644
+0.111859
+0.111112
+0.110403
+0.109734
+0.109104
+0.107627
+0.105889
+0.104168
+0.102463
+0.100776
+0.0991085
+0.0974619
+0.095837
+0.094235
+0.0926572
+0.0911047
+0.0895788
+0.0880811
+0.0866087
+0.0851641
+0.0837518
+0.0823737
+0.0810313
+0.0797265
+0.0784612
+0.0772373
+0.0760568
+0.0749218
+0.0738344
+0.0727967
+0.0718108
+0.0708789
+0.0700032
+0.0691859
+0.068151
+0.0671634
+0.0662335
+0.0653639
+0.064557
+0.0638151
+0.0631405
+0.0625354
+0.0620018
+0.0615417
+0.0611566
+0.060848
+0.060617
+0.0604646
+0.060379
+0.0603704
+0.0604412
+0.0605912
+0.0608198
+0.0611261
+0.0613223
+0.0613595
+0.0614748
+0.0616678
+0.0619377
+0.0622835
+0.062704
+0.0631977
+0.0637629
+0.0643976
+0.0650926
+0.0658463
+0.0666635
+0.0675419
+0.0684792
+0.0694729
+0.0705207
+0.0716201
+0.072769
+0.0739649
+0.0752056
+0.0764889
+0.0778127
+0.0791751
+0.0805739
+0.0820075
+0.0834739
+0.131095
+0.130911
+0.130764
+0.130039
+0.128809
+0.127605
+0.126428
+0.125278
+0.124155
+0.123062
+0.121998
+0.120965
+0.119962
+0.118988
+0.118042
+0.117129
+0.116251
+0.115408
+0.1146
+0.113829
+0.113095
+0.112399
+0.111741
+0.110117
+0.108375
+0.106646
+0.104935
+0.103242
+0.101568
+0.0999135
+0.0982803
+0.0966692
+0.0950812
+0.0935177
+0.0919797
+0.0904686
+0.0889858
+0.0875286
+0.0860995
+0.0847028
+0.0833404
+0.0820138
+0.0807249
+0.0794755
+0.0782675
+0.0771028
+0.0759834
+0.0749114
+0.0738888
+0.0729177
+0.0720002
+0.0711383
+0.0703288
+0.069303
+0.0683321
+0.0674184
+0.0665642
+0.065772
+0.0650439
+0.0643822
+0.0637889
+0.0632659
+0.0628151
+0.0624378
+0.0621356
+0.0619094
+0.0617602
+0.0616761
+0.0616676
+0.061737
+0.0618838
+0.0621076
+0.0624076
+0.0625722
+0.0626087
+0.0627217
+0.0629108
+0.0631754
+0.0635145
+0.0639269
+0.0644112
+0.0649658
+0.065589
+0.0662786
+0.0670202
+0.0678232
+0.0686868
+0.0696087
+0.0705865
+0.0716179
+0.0727008
+0.0738328
+0.0750118
+0.0762354
+0.0775017
+0.0788085
+0.0801539
+0.081536
+0.0829529
+0.0844029
+0.115114
+0.113717
+0.112346
+0.111001
+0.109683
+0.108393
+0.107133
+0.105903
+0.104704
+0.103538
+0.102405
+0.101308
+0.100246
+0.0992206
+0.0982338
+0.0972863
+0.0963793
+0.0955139
+0.0946855
+0.0938994
+0.0931581
+0.0924628
+0.0918145
+0.0912142
+0.0906629
+0.0901615
+0.0897108
+0.0893115
+0.0881862
+0.0868192
+0.0854865
+0.0841897
+0.0829305
+0.0817106
+0.0805204
+0.0792752
+0.0780717
+0.0769118
+0.0757974
+0.0747306
+0.0737135
+0.0727482
+0.0718368
+0.0709695
+0.0701587
+0.0694076
+0.0687181
+0.0680921
+0.0675315
+0.0670347
+0.0665892
+0.0661974
+0.06587
+0.0656111
+0.0654135
+0.0652739
+0.0646355
+0.0640631
+0.0635501
+0.063109
+0.0627413
+0.0624484
+0.0622313
+0.0620907
+0.0620113
+0.0619952
+0.0620566
+0.061716
+0.0613427
+0.0610061
+0.0607377
+0.0605379
+0.0604111
+0.0603541
+0.0603765
+0.0604369
+0.0605667
+0.0607576
+0.0609885
+0.0612869
+0.0616565
+0.0620606
+0.0625062
+0.063009
+0.0635833
+0.0642209
+0.0645048
+0.0648446
+0.0652561
+0.0657381
+0.0662891
+0.0669073
+0.0675908
+0.0683378
+0.0691402
+0.0699946
+0.0709063
+0.0718734
+0.0728934
+0.0739643
+0.113536
+0.112119
+0.110728
+0.109363
+0.108025
+0.106716
+0.105435
+0.104185
+0.102967
+0.10178
+0.100628
+0.0995106
+0.0984292
+0.0973851
+0.0963795
+0.0954136
+0.0944886
+0.0936058
+0.0927663
+0.0919679
+0.0912109
+0.0905004
+0.0898376
+0.0892236
+0.0886596
+0.0881463
+0.0876849
+0.0872759
+0.0866623
+0.0852942
+0.0839373
+0.0826162
+0.0813326
+0.0800884
+0.0788527
+0.0775841
+0.076354
+0.0751675
+0.0740269
+0.0729342
+0.0718917
+0.0709016
+0.0699661
+0.0690818
+0.0682485
+0.0674761
+0.0667667
+0.0661223
+0.0655448
+0.0650357
+0.0645801
+0.0641826
+0.063845
+0.0635794
+0.0633755
+0.0632468
+0.0627498
+0.0621628
+0.0616426
+0.0611878
+0.0608085
+0.0605062
+0.0602821
+0.060137
+0.0600562
+0.0600397
+0.060103
+0.0599285
+0.05954
+0.0592009
+0.0589303
+0.0587263
+0.0585956
+0.0585368
+0.0585599
+0.0586268
+0.0587593
+0.0589614
+0.0591968
+0.0594988
+0.0598795
+0.0602948
+0.0607533
+0.0612705
+0.0618609
+0.0625161
+0.0628463
+0.063195
+0.0636172
+0.0641115
+0.0646764
+0.0653098
+0.0660099
+0.0667746
+0.0675998
+0.0684734
+0.0694052
+0.0703929
+0.071434
+0.0725265
+0.111978
+0.110542
+0.109131
+0.107745
+0.106387
+0.105057
+0.103756
+0.102486
+0.101246
+0.10004
+0.0988673
+0.0977297
+0.0966284
+0.0955646
+0.0945396
+0.0935547
+0.0926112
+0.0917103
+0.0908533
+0.0900414
+0.0892718
+0.0885456
+0.087868
+0.0872402
+0.0866632
+0.0861381
+0.0856658
+0.0852472
+0.0848831
+0.0837663
+0.0824091
+0.0810713
+0.0797629
+0.0784938
+0.0772086
+0.075917
+0.0746609
+0.0734472
+0.0722794
+0.0711599
+0.070091
+0.0690751
+0.0681145
+0.0672116
+0.0663557
+0.065561
+0.0648306
+0.0641668
+0.0635715
+0.0630468
+0.062583
+0.0621745
+0.0618271
+0.0615545
+0.061348
+0.0612151
+0.0608845
+0.0602793
+0.0597483
+0.0592853
+0.0588938
+0.0585816
+0.0583501
+0.0582001
+0.058118
+0.0581009
+0.0581663
+0.0581646
+0.0577642
+0.0574226
+0.0571436
+0.0569414
+0.0568066
+0.0567459
+0.0567697
+0.0568434
+0.0569788
+0.0571897
+0.0574265
+0.0577377
+0.05813
+0.0585576
+0.0590297
+0.0595618
+0.060169
+0.0608424
+0.0612213
+0.0615791
+0.0620124
+0.0625194
+0.0630985
+0.0637476
+0.0644647
+0.0652474
+0.0660936
+0.0669894
+0.0679416
+0.0689502
+0.0700128
+0.0711271
+0.110442
+0.108985
+0.107554
+0.106148
+0.104769
+0.103418
+0.102096
+0.100805
+0.0995448
+0.0983175
+0.097124
+0.0959658
+0.094844
+0.09376
+0.092715
+0.0917105
+0.0907478
+0.0898282
+0.088953
+0.0881237
+0.0873414
+0.086602
+0.0859091
+0.0852669
+0.0846764
+0.0841389
+0.0836553
+0.0832266
+0.0828536
+0.0822675
+0.0808852
+0.0795392
+0.078223
+0.0769286
+0.0755922
+0.0742725
+0.0729944
+0.0717525
+0.0705566
+0.0694094
+0.0683131
+0.0672704
+0.0662836
+0.0653554
+0.0644817
+0.0636636
+0.0629112
+0.0622269
+0.0616129
+0.0610714
+0.0605961
+0.0601775
+0.0598213
+0.0595396
+0.0593322
+0.0591947
+0.0590415
+0.0584173
+0.0578692
+0.0573996
+0.0569972
+0.0566746
+0.0564353
+0.0562802
+0.0561984
+0.0561807
+0.0562483
+0.0564011
+0.0560177
+0.0556738
+0.0553859
+0.0551835
+0.0550465
+0.0549839
+0.0550086
+0.0550894
+0.0552278
+0.0554454
+0.0556861
+0.056007
+0.0564113
+0.0568519
+0.057338
+0.0578856
+0.0585102
+0.0592025
+0.0596324
+0.0599998
+0.0604443
+0.0609644
+0.0615581
+0.0622233
+0.0629577
+0.063759
+0.0646246
+0.065545
+0.0665179
+0.0675477
+0.0686321
+0.0697684
+0.108928
+0.107451
+0.105999
+0.104572
+0.103172
+0.1018
+0.100457
+0.0991441
+0.0978627
+0.096614
+0.0953992
+0.0942198
+0.0930769
+0.0919721
+0.0909066
+0.0898819
+0.0888994
+0.0879604
+0.0870665
+0.086219
+0.0854193
+0.0846687
+0.0839617
+0.0833044
+0.0827
+0.0821495
+0.0816542
+0.0812149
+0.0808326
+0.0805082
+0.0793925
+0.0780208
+0.0766871
+0.0753934
+0.0740054
+0.0726569
+0.0713502
+0.0700852
+0.0688605
+0.0676845
+0.0665598
+0.0654892
+0.0644752
+0.0635206
+0.0626281
+0.0617857
+0.0610101
+0.0603042
+0.0596705
+0.0591111
+0.0586237
+0.0581944
+0.057829
+0.0575375
+0.0573283
+0.0571869
+0.0571283
+0.0565788
+0.0560127
+0.0555274
+0.055115
+0.0547813
+0.0545336
+0.0543731
+0.0542983
+0.0542809
+0.0543509
+0.054509
+0.0543035
+0.0539572
+0.0536601
+0.0534512
+0.0533185
+0.0532538
+0.0532792
+0.0533677
+0.0535092
+0.0537338
+0.0539785
+0.0543095
+0.0547263
+0.0551803
+0.0556811
+0.0562448
+0.0568875
+0.0575959
+0.0580828
+0.0584598
+0.058916
+0.0594495
+0.0600581
+0.0607398
+0.0614919
+0.062312
+0.0631975
+0.064143
+0.0651367
+0.0661881
+0.0672944
+0.0684529
+0.107438
+0.10594
+0.104467
+0.103019
+0.101597
+0.100204
+0.0988388
+0.0975042
+0.096201
+0.0949304
+0.0936939
+0.0924927
+0.0913282
+0.0902019
+0.0891153
+0.0880698
+0.0870668
+0.0861079
+0.0851945
+0.0843282
+0.0835103
+0.0827424
+0.0820259
+0.0813536
+0.0807346
+0.0801707
+0.079663
+0.0792127
+0.0788207
+0.0784879
+0.0779323
+0.0765349
+0.0751749
+0.0738548
+0.07245
+0.071072
+0.0697357
+0.0684433
+0.067193
+0.0659872
+0.0648331
+0.0637335
+0.0626911
+0.0617089
+0.0607898
+0.059929
+0.0591291
+0.0584005
+0.0577458
+0.0571676
+0.0566672
+0.0562267
+0.0558515
+0.0555496
+0.0553329
+0.0551929
+0.0551323
+0.0547662
+0.0541812
+0.0536793
+0.0532562
+0.0529108
+0.0526544
+0.0524882
+0.0524111
+0.0524038
+0.0524764
+0.0526401
+0.0526246
+0.0522736
+0.0519693
+0.0517536
+0.0516221
+0.0515587
+0.051585
+0.0516803
+0.0518262
+0.0520553
+0.0523069
+0.0526484
+0.0530782
+0.0535463
+0.0540621
+0.0546426
+0.0553039
+0.0560169
+0.0565755
+0.0569625
+0.0574306
+0.0579777
+0.0586017
+0.0593001
+0.0600702
+0.0609095
+0.0618151
+0.062784
+0.0638009
+0.0648739
+0.0660022
+0.067183
+0.105972
+0.104453
+0.102958
+0.101489
+0.100046
+0.09863
+0.0972432
+0.0958864
+0.0945609
+0.093268
+0.0920091
+0.0907856
+0.0895989
+0.0884506
+0.0873422
+0.0862752
+0.0852511
+0.0842715
+0.0833381
+0.0824522
+0.0816156
+0.0808297
+0.080096
+0.0794154
+0.0787811
+0.0782031
+0.0776825
+0.0772207
+0.0768185
+0.076477
+0.076197
+0.0750832
+0.0736968
+0.0723497
+0.0709282
+0.0695201
+0.0681533
+0.0668304
+0.065554
+0.0643198
+0.0631353
+0.0620055
+0.0609336
+0.0599226
+0.0589757
+0.0580955
+0.0572701
+0.0565175
+0.0558407
+0.0552426
+0.0547257
+0.054276
+0.0538905
+0.0535776
+0.0533528
+0.0532145
+0.0531516
+0.0529822
+0.0523773
+0.051858
+0.0514237
+0.0510659
+0.0508001
+0.0506278
+0.0505483
+0.050547
+0.0506272
+0.0507969
+0.0509846
+0.0506222
+0.0503171
+0.0500943
+0.0499598
+0.0499022
+0.0499294
+0.0500279
+0.0501824
+0.0504152
+0.0506748
+0.0510273
+0.0514707
+0.0519525
+0.0524847
+0.0530825
+0.0537629
+0.0544802
+0.0551141
+0.0555113
+0.0559915
+0.0565526
+0.0571921
+0.0579075
+0.0586959
+0.0595546
+0.0604804
+0.0614633
+0.0625013
+0.0635962
+0.0647468
+0.0659501
+0.104454
+0.102991
+0.101475
+0.0999834
+0.0985183
+0.0970804
+0.0956712
+0.0942917
+0.0929435
+0.0916277
+0.090346
+0.0890996
+0.0878902
+0.0867193
+0.0855885
+0.0844993
+0.0834534
+0.0824525
+0.0814982
+0.0805922
+0.079736
+0.0789314
+0.0781799
+0.0774831
+0.0768404
+0.0762476
+0.0757137
+0.0752397
+0.0748269
+0.0744763
+0.0741888
+0.0736628
+0.0722546
+0.0708804
+0.0694422
+0.0680033
+0.0666054
+0.0652511
+0.0639432
+0.0626844
+0.0614686
+0.0603076
+0.0592049
+0.0581639
+0.0571879
+0.0562802
+0.0554352
+0.0546574
+0.0539573
+0.0533381
+0.0528026
+0.0523426
+0.0519473
+0.0516232
+0.0513899
+0.0512493
+0.051188
+0.0512163
+0.0506039
+0.0500662
+0.0496195
+0.0492493
+0.0489736
+0.0487949
+0.0487129
+0.0487115
+0.0488064
+0.0489823
+0.0492464
+0.0490131
+0.0487074
+0.0484772
+0.0483396
+0.0482826
+0.0483106
+0.0484182
+0.0485819
+0.0488179
+0.049086
+0.0494498
+0.0499051
+0.0503983
+0.0509527
+0.0515682
+0.0522605
+0.0529875
+0.0536836
+0.0541099
+0.0546025
+0.0551776
+0.0558329
+0.0565655
+0.0573724
+0.0582505
+0.0591926
+0.0601913
+0.0612508
+0.0623677
+0.0635405
+0.0647662
+0.102902
+0.101513
+0.100017
+0.0985038
+0.0970163
+0.0955559
+0.0941238
+0.0927214
+0.0913499
+0.0900109
+0.0887058
+0.0874361
+0.0862034
+0.0850092
+0.0838553
+0.0827433
+0.081675
+0.080652
+0.0796761
+0.0787491
+0.0778727
+0.0770486
+0.0762786
+0.0755642
+0.0749071
+0.0743053
+0.0737572
+0.0732706
+0.0728467
+0.0724865
+0.072191
+0.071961
+0.0708453
+0.069449
+0.0679943
+0.0665241
+0.0650944
+0.063708
+0.0623677
+0.0610767
+0.0598357
+0.0586423
+0.0575078
+0.0564354
+0.055429
+0.0544921
+0.0536272
+0.0528227
+0.052098
+0.0514564
+0.0509011
+0.0504281
+0.0500222
+0.0496885
+0.0494461
+0.0492999
+0.0492435
+0.049273
+0.0488644
+0.0483073
+0.0478442
+0.0474642
+0.0471782
+0.0469926
+0.046908
+0.0469066
+0.0470073
+0.0471997
+0.0474708
+0.0474506
+0.0471446
+0.0469067
+0.046766
+0.0467075
+0.0467365
+0.0468556
+0.0470248
+0.0472605
+0.0475374
+0.047913
+0.0483835
+0.0488921
+0.0494702
+0.0501016
+0.0507992
+0.0515372
+0.052247
+0.0527623
+0.0532673
+0.0538567
+0.0545278
+0.0552777
+0.0561031
+0.0569998
+0.0579535
+0.0589732
+0.0600541
+0.0611929
+0.0623878
+0.0636357
+0.101373
+0.0999626
+0.0985807
+0.0970512
+0.0955411
+0.0940577
+0.0926025
+0.0911766
+0.0897816
+0.0884188
+0.0870898
+0.0857962
+0.0845396
+0.0833216
+0.082144
+0.0810085
+0.079917
+0.0788712
+0.077873
+0.0769242
+0.0760268
+0.0751825
+0.0743932
+0.0736605
+0.0729863
+0.0723722
+0.0718096
+0.0713097
+0.0708741
+0.0705038
+0.0702
+0.0699634
+0.0694765
+0.0680521
+0.0665819
+0.0650848
+0.063623
+0.0622038
+0.0608304
+0.059506
+0.0582339
+0.0570127
+0.055845
+0.0547401
+0.0537019
+0.0527343
+0.0518412
+0.0510161
+0.0502653
+0.0496
+0.0490237
+0.0485369
+0.0481192
+0.0477759
+0.0475237
+0.0473717
+0.0473206
+0.0473513
+0.0471625
+0.0465851
+0.0461046
+0.0457145
+0.0454174
+0.0452246
+0.0451372
+0.0451357
+0.0452404
+0.0454506
+0.0457312
+0.0459394
+0.0456334
+0.0453876
+0.0452438
+0.0451838
+0.0452137
+0.045345
+0.0455199
+0.0457551
+0.0460411
+0.0464287
+0.0469148
+0.0474392
+0.0480405
+0.0486728
+0.0493918
+0.0501408
+0.0508643
+0.0514726
+0.0519901
+0.0525939
+0.0532809
+0.0540481
+0.054892
+0.0557981
+0.0567719
+0.0578124
+0.0589147
+0.060075
+0.0612918
+0.0625615
+0.0998688
+0.0984368
+0.0970332
+0.0956266
+0.0940936
+0.0925871
+0.0911084
+0.0896588
+0.0882397
+0.0868528
+0.0854995
+0.0841814
+0.0829003
+0.0816579
+0.0804559
+0.0792963
+0.0781808
+0.0771115
+0.0760902
+0.075119
+0.0741997
+0.0733344
+0.0725249
+0.0717732
+0.0710811
+0.0704503
+0.0698755
+0.0693617
+0.0689137
+0.0685329
+0.0682203
+0.0679768
+0.0678034
+0.0666804
+0.0652125
+0.0636832
+0.0621936
+0.0607414
+0.0593341
+0.0579755
+0.0566691
+0.0554185
+0.0542197
+0.053081
+0.0520097
+0.05101
+0.0500862
+0.0492407
+0.0484624
+0.047772
+0.0471734
+0.0466699
+0.0462418
+0.0458882
+0.0456256
+0.0454672
+0.045414
+0.0454539
+0.0455025
+0.0449037
+0.044405
+0.0440043
+0.0436956
+0.0434951
+0.0434045
+0.0434033
+0.0435121
+0.0437306
+0.0440319
+0.0444224
+0.0441779
+0.0439253
+0.0437782
+0.0437167
+0.0437477
+0.0438881
+0.0440725
+0.0443069
+0.0446021
+0.0450022
+0.0455043
+0.0460447
+0.0466516
+0.0473024
+0.0480432
+0.0488028
+0.0495398
+0.0502454
+0.0507754
+0.0513935
+0.0520963
+0.0528807
+0.0537349
+0.0546577
+0.0556515
+0.0567126
+0.0578358
+0.0590174
+0.0602555
+0.0615466
+0.0983904
+0.0969366
+0.0955109
+0.0941146
+0.0926754
+0.0911455
+0.0896429
+0.0881692
+0.0867258
+0.0853143
+0.0839362
+0.0825932
+0.081287
+0.0800195
+0.0787926
+0.0776081
+0.0764681
+0.0753744
+0.0743293
+0.0733347
+0.0723928
+0.0715056
+0.0706752
+0.0699036
+0.0691928
+0.0685446
+0.067957
+0.0674286
+0.0669676
+0.0665757
+0.0662538
+0.0660032
+0.0658245
+0.0653065
+0.0638673
+0.0623271
+0.0608043
+0.0593232
+0.0578821
+0.0564886
+0.055147
+0.053861
+0.0526348
+0.0514617
+0.050356
+0.0493228
+0.0483668
+0.0474927
+0.0466927
+0.0459757
+0.0453534
+0.0448295
+0.0443904
+0.0440286
+0.0437548
+0.0435896
+0.0435341
+0.0435824
+0.0437256
+0.0432679
+0.0427502
+0.0423383
+0.0420174
+0.0418089
+0.0417146
+0.0417139
+0.0418272
+0.0420544
+0.0423777
+0.0427833
+0.0427756
+0.0425184
+0.0423679
+0.0423123
+0.0423443
+0.0424894
+0.0426885
+0.0429217
+0.0432264
+0.0436391
+0.0441567
+0.044714
+0.045326
+0.0459956
+0.0467583
+0.0475282
+0.0482773
+0.0490494
+0.049623
+0.0502552
+0.0509738
+0.0517747
+0.052641
+0.0535827
+0.054596
+0.0556772
+0.0568209
+0.0580232
+0.059282
+0.0605939
+0.0969328
+0.095463
+0.094015
+0.0925961
+0.0912078
+0.0897341
+0.0882075
+0.0867095
+0.0852413
+0.0838048
+0.0824014
+0.081033
+0.0797013
+0.0784082
+0.0771556
+0.0759456
+0.0747802
+0.0736615
+0.0725917
+0.071573
+0.0706076
+0.0696977
+0.0688455
+0.0680531
+0.0673228
+0.0666565
+0.0660554
+0.0655116
+0.0650371
+0.0646334
+0.0643019
+0.0640436
+0.0638594
+0.0637501
+0.0624939
+0.0609941
+0.0594632
+0.0579479
+0.0564769
+0.0550487
+0.0536711
+0.0523489
+0.0510864
+0.0498861
+0.0487446
+0.0476765
+0.0466868
+0.0457807
+0.04496
+0.044215
+0.0435675
+0.0430219
+0.0425648
+0.0422006
+0.041915
+0.0417425
+0.0416846
+0.0417342
+0.0418838
+0.041683
+0.0411454
+0.0407186
+0.0403883
+0.0401714
+0.0400733
+0.0400731
+0.040191
+0.0404274
+0.0407741
+0.0411955
+0.0414418
+0.0411762
+0.0410208
+0.0409769
+0.04101
+0.0411597
+0.0413743
+0.0416058
+0.04192
+0.0423454
+0.0428787
+0.0434445
+0.0440694
+0.0447579
+0.0455414
+0.0463213
+0.0470798
+0.0478648
+0.0485354
+0.0491816
+0.0499156
+0.0507332
+0.051617
+0.052577
+0.0536094
+0.05471
+0.0558736
+0.0570958
+0.0583746
+0.0597065
+0.0955018
+0.0940111
+0.0925466
+0.0911048
+0.0896934
+0.0883139
+0.0868037
+0.085281
+0.0837878
+0.0823259
+0.0808969
+0.0795026
+0.0781448
+0.0768255
+0.0755467
+0.0743105
+0.073119
+0.0719745
+0.0708793
+0.0698356
+0.0688458
+0.0679123
+0.0670374
+0.0662234
+0.0654727
+0.0647873
+0.0641695
+0.0636121
+0.0631234
+0.0627073
+0.0623655
+0.0620992
+0.0619093
+0.0617964
+0.0611678
+0.0596347
+0.0581437
+0.0566239
+0.0551176
+0.0536585
+0.0522454
+0.0508862
+0.0495865
+0.0483512
+0.04718
+0.0460756
+0.0450508
+0.044111
+0.0432619
+0.0424943
+0.0418201
+0.0412514
+0.0407752
+0.0404061
+0.0401105
+0.0399302
+0.0398697
+0.0399207
+0.040077
+0.0401552
+0.0395968
+0.0391532
+0.0388146
+0.0385888
+0.0384866
+0.0384871
+0.0386099
+0.0388559
+0.039223
+0.0396627
+0.0401646
+0.0399092
+0.0397488
+0.0397055
+0.0397513
+0.0399058
+0.0401348
+0.0403588
+0.0406827
+0.0411209
+0.0416669
+0.0422493
+0.0428881
+0.0435952
+0.0443957
+0.0451779
+0.0459556
+0.0467528
+0.0475239
+0.0481836
+0.0489326
+0.0497664
+0.050667
+0.0516447
+0.0526953
+0.0538147
+0.0549972
+0.0562384
+0.0575363
+0.0588871
+0.0941
+0.0925867
+0.091101
+0.0896376
+0.0882027
+0.0867995
+0.0854293
+0.0838854
+0.082367
+0.0808794
+0.0794243
+0.0780037
+0.0766193
+0.0752733
+0.0739677
+0.0727046
+0.0714864
+0.0703153
+0.0691938
+0.0681243
+0.0671093
+0.0661513
+0.0652528
+0.0644163
+0.0636442
+0.062939
+0.0623028
+0.0617286
+0.0612248
+0.0607958
+0.0604431
+0.0601683
+0.0599722
+0.0598558
+0.0598194
+0.0583258
+0.0568005
+0.0553199
+0.0538132
+0.0523177
+0.0508726
+0.0494772
+0.0481395
+0.0468661
+0.0456623
+0.044525
+0.0434636
+0.0424887
+0.0416065
+0.0408186
+0.0401163
+0.0395231
+0.0390265
+0.0386413
+0.0383463
+0.0381576
+0.0380943
+0.0381468
+0.0383104
+0.0385978
+0.0381113
+0.0376502
+0.0373031
+0.0370682
+0.0369618
+0.036963
+0.0370907
+0.0373468
+0.0377262
+0.0381844
+0.0387388
+0.0387239
+0.0385595
+0.0385148
+0.0385622
+0.0387215
+0.0389572
+0.0391879
+0.0395214
+0.0399724
+0.0405339
+0.0411361
+0.0417882
+0.0425136
+0.0433179
+0.0441134
+0.0449101
+0.0457189
+0.0465928
+0.0472662
+0.0480295
+0.0488787
+0.0497954
+0.0507898
+0.0518578
+0.0529949
+0.0541952
+0.0554544
+0.0567703
+0.0581389
+0.0927287
+0.0911927
+0.0896839
+0.0881999
+0.0867413
+0.085314
+0.0839196
+0.0825243
+0.0809804
+0.0794669
+0.0779855
+0.0765381
+0.0751268
+0.0737535
+0.0724205
+0.07113
+0.0698843
+0.0686859
+0.0675374
+0.0664412
+0.0654001
+0.0644167
+0.0634936
+0.0626336
+0.0618393
+0.0611132
+0.0604578
+0.0598659
+0.0593463
+0.0589036
+0.0585396
+0.0582558
+0.0580533
+0.0579329
+0.0578953
+0.0570709
+0.0555112
+0.0539953
+0.052527
+0.0510358
+0.0495533
+0.0481249
+0.0467505
+0.0454381
+0.0441954
+0.0430206
+0.0419211
+0.0409095
+0.0399925
+0.0391765
+0.0384618
+0.0378427
+0.0373245
+0.0369216
+0.0366281
+0.0364306
+0.0363642
+0.0364183
+0.0365896
+0.0368904
+0.0366965
+0.0362173
+0.0358619
+0.0356174
+0.0355067
+0.0355086
+0.0356416
+0.035908
+0.0362967
+0.0367727
+0.0373572
+0.0376052
+0.0374606
+0.0374146
+0.0374634
+0.0376273
+0.0378699
+0.0381072
+0.0384501
+0.0389134
+0.03949
+0.0401115
+0.0407765
+0.0415196
+0.04232
+0.043134
+0.0439491
+0.0447609
+0.0456469
+0.0464341
+0.0472109
+0.0480745
+0.0490062
+0.0500164
+0.0511005
+0.0522541
+0.0534711
+0.0547469
+0.0560794
+0.0574644
+0.0913844
+0.0898276
+0.0882977
+0.0867936
+0.0853111
+0.0838594
+0.0824404
+0.0810558
+0.0796243
+0.0780869
+0.0765813
+0.0751079
+0.0736692
+0.0722682
+0.0709073
+0.0695887
+0.0683149
+0.0670885
+0.0659121
+0.0647885
+0.0637203
+0.0627106
+0.061762
+0.0608776
+0.06006
+0.0593122
+0.0586367
+0.0580262
+0.0574899
+0.0570328
+0.0566568
+0.0563635
+0.0561542
+0.0560298
+0.0559909
+0.0558686
+0.0542797
+0.0527284
+0.0512238
+0.0497702
+0.0482974
+0.0468307
+0.0454224
+0.0440728
+0.0427905
+0.041576
+0.0404373
+0.0393876
+0.0384342
+0.0375845
+0.0368394
+0.0361974
+0.0356734
+0.0352541
+0.0349628
+0.0347558
+0.0346862
+0.034742
+0.0349216
+0.0352366
+0.0353609
+0.0348634
+0.0344981
+0.0342455
+0.0341303
+0.0341329
+0.0342713
+0.0345482
+0.0349461
+0.0354402
+0.0360491
+0.0365835
+0.0364594
+0.0364131
+0.0364633
+0.0366316
+0.0368807
+0.0371244
+0.0374762
+0.0379515
+0.0385391
+0.039179
+0.0398596
+0.0406194
+0.0414142
+0.0422455
+0.0430592
+0.0438849
+0.0447882
+0.045692
+0.0464811
+0.0473581
+0.0483036
+0.0493282
+0.0504271
+0.0515957
+0.0528279
+0.0541189
+0.0554664
+0.0568664
+0.0900681
+0.0884881
+0.0869347
+0.0854091
+0.0839131
+0.0824374
+0.0809935
+0.0795837
+0.0782098
+0.0767385
+0.075206
+0.0737067
+0.0722428
+0.0708163
+0.0694294
+0.068083
+0.0667805
+0.0655254
+0.0643204
+0.0631685
+0.0620725
+0.0610354
+0.0600604
+0.0591505
+0.0583088
+0.0575382
+0.0568416
+0.0562116
+0.0556579
+0.0551856
+0.0547969
+0.0544936
+0.0542771
+0.0541483
+0.0541081
+0.0541565
+0.0531012
+0.0515236
+0.0499827
+0.0484919
+0.0470559
+0.0456051
+0.0441577
+0.0427735
+0.0414538
+0.0401989
+0.03902
+0.0379311
+0.0369402
+0.0360553
+0.0352779
+0.0346113
+0.0340629
+0.0336467
+0.0333434
+0.0331413
+0.0330683
+0.0331258
+0.0333141
+0.0336442
+0.034112
+0.0335978
+0.0332186
+0.032962
+0.0328423
+0.0328459
+0.0329896
+0.0332771
+0.033684
+0.0341964
+0.034827
+0.0355631
+0.03554
+0.0355093
+0.0355701
+0.0357426
+0.0359979
+0.0362475
+0.0366077
+0.0370874
+0.0376704
+0.0383362
+0.0390394
+0.0398041
+0.0406064
+0.0414492
+0.0422615
+0.0431025
+0.0440219
+0.045004
+0.0458446
+0.0467334
+0.0476914
+0.0487288
+0.049841
+0.051023
+0.0522687
+0.0535732
+0.0549341
+0.0563473
+0.0887863
+0.0871831
+0.085606
+0.0840563
+0.0825358
+0.0810431
+0.0795806
+0.0781453
+0.0767457
+0.0753838
+0.0738699
+0.0723429
+0.0708508
+0.0693958
+0.0679802
+0.0666067
+0.0652777
+0.0639962
+0.0627643
+0.0615838
+0.060459
+0.0593939
+0.0583915
+0.0574551
+0.0565882
+0.0557938
+0.0550752
+0.0544228
+0.0538507
+0.0533625
+0.0529604
+0.0526465
+0.0524223
+0.052289
+0.0522473
+0.0522975
+0.0519835
+0.0503723
+0.0488062
+0.0472807
+0.0458067
+0.0443873
+0.0429675
+0.0415437
+0.0401889
+0.0388965
+0.0376769
+0.036548
+0.0355185
+0.0345973
+0.0337864
+0.033091
+0.0325204
+0.032086
+0.0317903
+0.0315962
+0.0315196
+0.031579
+0.0317764
+0.0321223
+0.032612
+0.032431
+0.032038
+0.0317722
+0.031648
+0.0316583
+0.0318074
+0.0320999
+0.0325206
+0.033051
+0.0337031
+0.0344632
+0.0347346
+0.0347032
+0.034792
+0.0349685
+0.0352175
+0.0354791
+0.0358452
+0.0363163
+0.0369115
+0.0375906
+0.0383077
+0.0390878
+0.0398852
+0.040738
+0.0415641
+0.0424189
+0.0433528
+0.0443498
+0.0453051
+0.0462043
+0.047173
+0.0482216
+0.0493452
+0.0505388
+0.0517961
+0.0531122
+0.0544847
+0.0559092
+0.0875406
+0.0859142
+0.0843133
+0.0827394
+0.0811942
+0.0796764
+0.0781892
+0.0767357
+0.0753168
+0.0739286
+0.0725733
+0.0710205
+0.0695001
+0.0680161
+0.0665713
+0.065168
+0.0638091
+0.0624974
+0.0612361
+0.0600282
+0.0588771
+0.0577861
+0.0567576
+0.0557942
+0.0549011
+0.0540819
+0.0533355
+0.0526606
+0.0520691
+0.051564
+0.0511478
+0.0508226
+0.0505904
+0.0504523
+0.0504091
+0.0504611
+0.0506079
+0.0492901
+0.0476885
+0.0461353
+0.0446301
+0.043172
+0.0417736
+0.0403953
+0.0390007
+0.0376766
+0.0364161
+0.0352469
+0.0341782
+0.0332198
+0.0323744
+0.0316481
+0.0310558
+0.0306007
+0.0302975
+0.0301256
+0.0300453
+0.0301121
+0.0303191
+0.0306814
+0.0311926
+0.0313739
+0.0309675
+0.0306928
+0.0305642
+0.0305791
+0.0307334
+0.0310319
+0.0314669
+0.0320148
+0.0326875
+0.0334707
+0.0340455
+0.0340193
+0.0341134
+0.034291
+0.0345437
+0.0348104
+0.0351835
+0.0356633
+0.0362692
+0.0369599
+0.0376892
+0.0384831
+0.0392679
+0.0401339
+0.0409722
+0.0418391
+0.0427856
+0.0437955
+0.0448602
+0.045774
+0.0467517
+0.0478095
+0.0489425
+0.0501458
+0.0514127
+0.0527383
+0.0541203
+0.0555542
+0.0863325
+0.0846829
+0.0830582
+0.0814601
+0.0798902
+0.0783471
+0.0768342
+0.0753545
+0.0739102
+0.0725033
+0.0711348
+0.0697394
+0.0681926
+0.0666799
+0.0652054
+0.0637721
+0.0623828
+0.0610405
+0.0597484
+0.0585099
+0.0573283
+0.0562072
+0.0551505
+0.0541618
+0.0532449
+0.0524035
+0.0516292
+0.0509316
+0.0503198
+0.0497969
+0.0493658
+0.0490289
+0.0487881
+0.0486449
+0.0486001
+0.0486539
+0.0488062
+0.0482814
+0.046647
+0.0450579
+0.0435212
+0.0420358
+0.0405983
+0.0392305
+0.0378912
+0.0365324
+0.0352466
+0.0340372
+0.0329292
+0.0319334
+0.031053
+0.030295
+0.0296797
+0.0292043
+0.0288865
+0.0287326
+0.0286489
+0.0287319
+0.0289543
+0.0293335
+0.0298557
+0.0304381
+0.030019
+0.0297359
+0.0296031
+0.0296185
+0.0297778
+0.0300857
+0.0305342
+0.0310985
+0.0317907
+0.0325954
+0.033477
+0.0334592
+0.033555
+0.0337412
+0.0339942
+0.0342689
+0.0346479
+0.035135
+0.0357499
+0.0364502
+0.0371897
+0.0379861
+0.0387648
+0.0396418
+0.0404902
+0.0413668
+0.0423183
+0.0433449
+0.0444204
+0.0454454
+0.04643
+0.0474949
+0.0486353
+0.049846
+0.0511203
+0.0524534
+0.0538426
+0.0552837
+0.0851636
+0.0834909
+0.0818426
+0.0802203
+0.0786256
+0.0770572
+0.0755184
+0.0740125
+0.0725415
+0.0711075
+0.0697129
+0.06836
+0.0669289
+0.0653891
+0.0638856
+0.0624219
+0.0610019
+0.0596285
+0.0583052
+0.0570353
+0.0558224
+0.0546706
+0.0535835
+0.0525653
+0.0516201
+0.0507518
+0.0499606
+0.0492393
+0.0486062
+0.0480647
+0.0476179
+0.0472686
+0.0470188
+0.0468701
+0.0468236
+0.0468796
+0.0470376
+0.047081
+0.0456825
+0.0440587
+0.0424858
+0.0409697
+0.0395096
+0.0381027
+0.0367727
+0.0354759
+0.0341615
+0.032919
+0.0317721
+0.0307387
+0.0298308
+0.0290443
+0.0284018
+0.0279101
+0.0275774
+0.0274162
+0.0273569
+0.0274438
+0.0276863
+0.0280827
+0.0286235
+0.0293045
+0.0292043
+0.0289136
+0.028777
+0.0287928
+0.0289567
+0.0292733
+0.029734
+0.0303132
+0.0310229
+0.031847
+0.0327755
+0.0330279
+0.0331249
+0.0333108
+0.0335551
+0.0338498
+0.0342442
+0.034737
+0.0353589
+0.0360666
+0.0368139
+0.0375936
+0.0383803
+0.0392659
+0.0401222
+0.0409963
+0.0419551
+0.0430014
+0.0440852
+0.0451741
+0.04621
+0.0472799
+0.0484254
+0.0496411
+0.0509206
+0.0522587
+0.053653
+0.0550991
+0.0840356
+0.08234
+0.0806682
+0.0790218
+0.0774023
+0.0758087
+0.074244
+0.0727117
+0.0712138
+0.0697525
+0.0683303
+0.0669495
+0.0656128
+0.064145
+0.0626133
+0.0611205
+0.0596695
+0.0582647
+0.0569096
+0.0556079
+0.0543632
+0.0531797
+0.0520616
+0.051013
+0.0500384
+0.0491423
+0.0483288
+0.0475878
+0.0469324
+0.0463714
+0.0459081
+0.0455456
+0.0452863
+0.045132
+0.0450837
+0.0451418
+0.0453059
+0.045292
+0.0448043
+0.0431474
+0.04154
+0.039988
+0.0384982
+0.0370703
+0.0357017
+0.0344183
+0.0331743
+0.0319102
+0.0307257
+0.029656
+0.0287137
+0.0279097
+0.0272405
+0.0267322
+0.0263847
+0.0262162
+0.0261847
+0.0262755
+0.0265287
+0.0269421
+0.0275108
+0.0282186
+0.0285349
+0.0282377
+0.0280979
+0.028114
+0.0282818
+0.0286059
+0.0290772
+0.0296692
+0.0303939
+0.0312347
+0.0321808
+0.0324095
+0.0324767
+0.0326657
+0.0329993
+0.0334732
+0.0339684
+0.034474
+0.0350963
+0.0357939
+0.0365658
+0.0373258
+0.038118
+0.0390018
+0.0398601
+0.0407393
+0.041704
+0.0427577
+0.0438569
+0.0449514
+0.0460734
+0.0471624
+0.0483139
+0.0495324
+0.0508146
+0.0521555
+0.0535524
+0.0550012
+0.0829501
+0.0812318
+0.0795367
+0.0778664
+0.0762224
+0.0746036
+0.0730131
+0.0714544
+0.0699295
+0.0684409
+0.0669908
+0.0655818
+0.0642166
+0.0628982
+0.0613911
+0.0598691
+0.0583889
+0.0569525
+0.0555654
+0.0542314
+0.0529544
+0.0517387
+0.0505887
+0.049509
+0.0485042
+0.0475791
+0.0467385
+0.0459805
+0.0453019
+0.0447204
+0.0442399
+0.0438636
+0.0435943
+0.0434339
+0.0433838
+0.0434441
+0.0436146
+0.0435397
+0.0433545
+0.0423224
+0.0406903
+0.0391046
+0.0375798
+0.0361235
+0.0347361
+0.0334156
+0.0321902
+0.0310116
+0.0298039
+0.0286998
+0.0277251
+0.0268939
+0.0262111
+0.0256825
+0.0253205
+0.0251449
+0.0251188
+0.0252435
+0.025507
+0.0259367
+0.0265269
+0.0272603
+0.0280212
+0.0277189
+0.0275764
+0.0275929
+0.0277638
+0.0280939
+0.0285736
+0.0291759
+0.0299125
+0.0307664
+0.0316875
+0.031608
+0.0316769
+0.0318706
+0.0322124
+0.0326978
+0.0333203
+0.0340643
+0.0349116
+0.0356476
+0.0364479
+0.0371853
+0.0379804
+0.0388436
+0.0397052
+0.0405983
+0.041567
+0.0426133
+0.0437161
+0.0448348
+0.0459909
+0.0471302
+0.048294
+0.0495129
+0.0507947
+0.052136
+0.0535335
+0.0549827
+0.0819088
+0.0801682
+0.0784502
+0.0767562
+0.0750879
+0.0734441
+0.0718279
+0.0702429
+0.0686912
+0.0671751
+0.065697
+0.0642597
+0.0628658
+0.0615184
+0.0602206
+0.0586716
+0.0571612
+0.0556932
+0.054274
+0.0529074
+0.0515976
+0.0503492
+0.0491667
+0.048055
+0.0470192
+0.0460643
+0.0451955
+0.0444104
+0.0437074
+0.0431044
+0.0426056
+0.0422148
+0.0419349
+0.0417682
+0.041716
+0.0417788
+0.041956
+0.0418288
+0.041636
+0.041542
+0.0399264
+0.0383247
+0.0367691
+0.0352794
+0.0338659
+0.0325298
+0.0312697
+0.0301164
+0.0290185
+0.0278833
+0.0268791
+0.0260209
+0.0253236
+0.0247824
+0.0244071
+0.0242248
+0.0241977
+0.0243294
+0.0246223
+0.0250828
+0.0256805
+0.0264374
+0.0273492
+0.0273638
+0.0272218
+0.0272385
+0.0274116
+0.0277459
+0.0282315
+0.0288409
+0.0295859
+0.0304444
+0.0310223
+0.0309411
+0.0310116
+0.0312094
+0.0315583
+0.0320536
+0.0326798
+0.0334187
+0.034282
+0.0352603
+0.0363446
+0.037158
+0.0379614
+0.0388085
+0.0396709
+0.0405657
+0.041538
+0.0425813
+0.0436849
+0.0448252
+0.0459814
+0.0471689
+0.0483618
+0.0495791
+0.0508592
+0.0521989
+0.0535947
+0.0550423
+0.0809135
+0.079151
+0.0774104
+0.0756931
+0.0740009
+0.0723323
+0.0706908
+0.0690797
+0.0675012
+0.0659577
+0.0644518
+0.062986
+0.0615634
+0.0601868
+0.0588596
+0.0575326
+0.0559914
+0.054492
+0.0530406
+0.0516414
+0.0502987
+0.0490171
+0.0478017
+0.0466575
+0.0455899
+0.0446045
+0.0437067
+0.0428943
+0.0421661
+0.0415407
+0.0410229
+0.0406168
+0.0403259
+0.0401525
+0.0400982
+0.0401635
+0.0403478
+0.0401645
+0.0399637
+0.0398705
+0.0392631
+0.0376331
+0.0360626
+0.0345537
+0.0331092
+0.0317504
+0.0304791
+0.0292947
+0.0282308
+0.0272155
+0.0261856
+0.0253039
+0.0245863
+0.024043
+0.0236559
+0.0234678
+0.0234458
+0.0235839
+0.0238861
+0.0243683
+0.0249733
+0.0257509
+0.0266863
+0.0271493
+0.0270382
+0.0270574
+0.0272317
+0.0275681
+0.0280568
+0.0286699
+0.0294159
+0.0302518
+0.0305004
+0.0304178
+0.0304744
+0.0306757
+0.0310307
+0.0315342
+0.0321559
+0.0329066
+0.0337829
+0.0347753
+0.0358742
+0.0370701
+0.0380518
+0.038897
+0.0397575
+0.0406503
+0.0416192
+0.042662
+0.0437635
+0.0449051
+0.0460603
+0.0472615
+0.0484999
+0.0497418
+0.0510178
+0.0523534
+0.0537452
+0.0551889
+0.0799658
+0.0781819
+0.0764192
+0.0746792
+0.0729634
+0.0712706
+0.069604
+0.0679671
+0.0663622
+0.0647916
+0.0632579
+0.0617638
+0.0603123
+0.0589066
+0.0575499
+0.0562458
+0.0548842
+0.0533537
+0.0518704
+0.0504388
+0.0490632
+0.0477485
+0.0464999
+0.0453229
+0.0442231
+0.0432065
+0.042279
+0.0414387
+0.0406843
+0.0400358
+0.0394983
+0.0390764
+0.0387739
+0.0385935
+0.038537
+0.038605
+0.0387967
+0.0385529
+0.0383436
+0.0382516
+0.0382679
+0.0370348
+0.0354624
+0.0339329
+0.0324756
+0.031089
+0.0297992
+0.0286102
+0.02752
+0.0265659
+0.0256437
+0.0247427
+0.0240084
+0.0234516
+0.0230547
+0.0228617
+0.0228777
+0.0230227
+0.023333
+0.0238108
+0.0244296
+0.025224
+0.025919
+0.0265353
+0.0269995
+0.027053
+0.0272273
+0.0275638
+0.0280526
+0.0286658
+0.0293803
+0.0302171
+0.0301157
+0.0300269
+0.030072
+0.0302759
+0.0306355
+0.0311454
+0.0317747
+0.0325342
+0.0334203
+0.0344232
+0.035533
+0.03674
+0.0380246
+0.0391082
+0.0399641
+0.0408521
+0.0418152
+0.0428546
+0.0439513
+0.0450883
+0.0462389
+0.047455
+0.0486889
+0.0499877
+0.0512695
+0.0525988
+0.0539843
+0.0554218
+0.0790674
+0.0772628
+0.0754787
+0.0737164
+0.0719777
+0.0702612
+0.06857
+0.0669079
+0.0652769
+0.0636796
+0.0621184
+0.0605962
+0.0591161
+0.0576811
+0.0562949
+0.0549611
+0.0536835
+0.0522818
+0.0507673
+0.0493037
+0.0478955
+0.0465479
+0.0452663
+0.0440563
+0.0429241
+0.041876
+0.0409184
+0.04005
+0.039269
+0.0385967
+0.0380389
+0.0376006
+0.0372861
+0.0370985
+0.0370397
+0.0371104
+0.0373098
+0.0370008
+0.0367827
+0.036692
+0.0367091
+0.0365057
+0.0349371
+0.0334381
+0.0319582
+0.0305482
+0.0292345
+0.0280307
+0.0269419
+0.0259667
+0.0251449
+0.0243663
+0.0236202
+0.0230541
+0.0226502
+0.0224537
+0.0224701
+0.0225991
+0.0229146
+0.0234194
+0.0239729
+0.0246876
+0.025231
+0.0258908
+0.0265541
+0.027204
+0.0273987
+0.0277331
+0.028219
+0.0288124
+0.0295077
+0.0301134
+0.0298695
+0.0297799
+0.0298254
+0.030031
+0.0303935
+0.0309074
+0.0315415
+0.0323064
+0.0331986
+0.034208
+0.0353245
+0.0365384
+0.0378299
+0.0391944
+0.040289
+0.0411692
+0.0421244
+0.0431576
+0.0442469
+0.0453706
+0.0465201
+0.0477367
+0.0489748
+0.0502668
+0.0516059
+0.0529267
+0.0543038
+0.055733
+0.0782201
+0.0763955
+0.0745906
+0.0728069
+0.0710459
+0.0693063
+0.0675912
+0.0659044
+0.064248
+0.0626244
+0.0610363
+0.0594864
+0.0579779
+0.0565141
+0.0550985
+0.053735
+0.0524275
+0.0511805
+0.0497209
+0.0482255
+0.046785
+0.0454045
+0.0440897
+0.0428466
+0.0416816
+0.0406015
+0.0396132
+0.0387237
+0.0379227
+0.0372261
+0.0366474
+0.0361923
+0.0358654
+0.0356703
+0.0356092
+0.0356827
+0.0358759
+0.0355161
+0.0352888
+0.0351967
+0.0352176
+0.0353713
+0.0345032
+0.0329865
+0.0315422
+0.0301572
+0.0288257
+0.027604
+0.0265074
+0.0255418
+0.0247059
+0.0240412
+0.0234111
+0.0228446
+0.0224532
+0.0222549
+0.0222534
+0.0223602
+0.0226686
+0.0230304
+0.0235909
+0.0241949
+0.0247186
+0.0253971
+0.0260977
+0.0268317
+0.0277135
+0.028063
+0.028553
+0.0291077
+0.0296654
+0.0300274
+0.0297828
+0.029693
+0.0297385
+0.0299447
+0.0303083
+0.0308236
+0.0314594
+0.0322263
+0.0331206
+0.0341323
+0.0352512
+0.0364632
+0.0377485
+0.0391143
+0.0405525
+0.041599
+0.0425442
+0.0435689
+0.0446481
+0.0457511
+0.046902
+0.048109
+0.0493563
+0.0506387
+0.051975
+0.0533319
+0.0546992
+0.0561183
+0.0774255
+0.0755818
+0.0737569
+0.0719525
+0.0701702
+0.0684083
+0.0666701
+0.0649594
+0.0632782
+0.0616291
+0.0600146
+0.0584377
+0.0569014
+0.0554091
+0.0539646
+0.0525716
+0.0512345
+0.0499577
+0.0487459
+0.0472237
+0.0457516
+0.0443389
+0.0429915
+0.0417157
+0.0405182
+0.0394063
+0.0383872
+0.0374687
+0.0366573
+0.0359362
+0.0353364
+0.0348642
+0.0345247
+0.034322
+0.0342585
+0.0343349
+0.0344821
+0.0341076
+0.0338708
+0.0337749
+0.0338003
+0.0339604
+0.0341156
+0.0325901
+0.0311386
+0.0297662
+0.0284961
+0.0273359
+0.0262394
+0.0252738
+0.0244561
+0.0237844
+0.0233
+0.0228196
+0.0224529
+0.0222709
+0.022202
+0.0222568
+0.0224535
+0.0228436
+0.0234086
+0.023862
+0.0243929
+0.0250802
+0.0258197
+0.0265593
+0.0274234
+0.0283149
+0.0286874
+0.0292193
+0.02979
+0.030101
+0.029857
+0.0297674
+0.0298129
+0.0300185
+0.0303812
+0.0308953
+0.0315296
+0.0322949
+0.0331874
+0.0341971
+0.0353037
+0.0364984
+0.0377825
+0.0391471
+0.0405842
+0.0420863
+0.0430707
+0.0440778
+0.0451427
+0.0462324
+0.0473822
+0.0485773
+0.0498261
+0.0510966
+0.0524265
+0.0537928
+0.055175
+0.0565858
+0.0766826
+0.0748205
+0.0729767
+0.0711525
+0.0693496
+0.0675693
+0.065809
+0.0640753
+0.0623703
+0.0606965
+0.0590566
+0.0574533
+0.05589
+0.05437
+0.0528971
+0.0514752
+0.0501089
+0.0488026
+0.0475615
+0.0463038
+0.0448016
+0.043358
+0.0419791
+0.0406715
+0.0394424
+0.0382992
+0.0372498
+0.0363025
+0.0354654
+0.0347367
+0.0341158
+0.0336265
+0.0332744
+0.033064
+0.0329981
+0.0330774
+0.0331612
+0.0327716
+0.0325251
+0.0324252
+0.0324652
+0.0326319
+0.0329438
+0.032319
+0.0308572
+0.029479
+0.0282037
+0.0270412
+0.0259922
+0.0250903
+0.0243186
+0.0237213
+0.0232423
+0.0229563
+0.022636
+0.0223648
+0.0222147
+0.0222382
+0.022435
+0.0228398
+0.0233463
+0.0237276
+0.0242614
+0.0249523
+0.0257239
+0.0264396
+0.0273065
+0.028242
+0.0288987
+0.0294268
+0.0299856
+0.0303298
+0.0300909
+0.0300008
+0.0300459
+0.03025
+0.0306099
+0.0311108
+0.0317352
+0.0324956
+0.0333827
+0.034385
+0.0354756
+0.0366647
+0.0379432
+0.0393022
+0.0407338
+0.0422306
+0.0436819
+0.044675
+0.0457261
+0.0468115
+0.0479578
+0.0491389
+0.0503737
+0.0516308
+0.052948
+0.0543127
+0.05572
+0.0571257
+0.0759889
+0.0741093
+0.0722473
+0.0704043
+0.0685817
+0.0667812
+0.0650046
+0.0632541
+0.0615271
+0.0598297
+0.0581653
+0.0565368
+0.0549474
+0.0534006
+0.0519001
+0.0504502
+0.0490553
+0.0477202
+0.0464502
+0.0452505
+0.0439403
+0.0424674
+0.0410586
+0.0397208
+0.0384613
+0.037288
+0.0362094
+0.0352341
+0.0343709
+0.0336216
+0.0329797
+0.0324733
+0.0321085
+0.0318905
+0.0318221
+0.0319044
+0.0319268
+0.0315219
+0.0312657
+0.0311617
+0.0312114
+0.0314003
+0.0317242
+0.0321343
+0.0307017
+0.0293262
+0.0280545
+0.0268939
+0.025839
+0.0249324
+0.0241898
+0.0235928
+0.0231016
+0.022772
+0.0226135
+0.022552
+0.0224112
+0.0224345
+0.0226296
+0.023031
+0.0233751
+0.0237786
+0.0243273
+0.0250164
+0.0257859
+0.0265
+0.027365
+0.0282986
+0.0291284
+0.0295588
+0.0301315
+0.0304131
+0.0303807
+0.0303283
+0.0304059
+0.0306076
+0.0309634
+0.0314586
+0.0320763
+0.0328288
+0.0337071
+0.0347
+0.035781
+0.0369603
+0.0382289
+0.0395781
+0.0410001
+0.0424875
+0.0440336
+0.0453703
+0.0464056
+0.0474844
+0.0486151
+0.0497906
+0.051004
+0.0522513
+0.0535533
+0.0549105
+0.0563054
+0.057731
+0.0753524
+0.0734566
+0.0715777
+0.0697169
+0.0678758
+0.0660561
+0.0642595
+0.0624881
+0.060744
+0.0590297
+0.0573439
+0.0556914
+0.0540772
+0.0525047
+0.0509779
+0.049501
+0.0480785
+0.0467156
+0.0454174
+0.0441897
+0.0430386
+0.0416626
+0.0402255
+0.0388589
+0.0375703
+0.0363682
+0.0352614
+0.034259
+0.0333705
+0.0326051
+0.0319474
+0.0314242
+0.0310472
+0.0308217
+0.0307509
+0.030836
+0.030799
+0.0303791
+0.0301131
+0.0300051
+0.0300568
+0.0302674
+0.0306112
+0.0310981
+0.0305849
+0.0292357
+0.0279727
+0.0268164
+0.0257773
+0.0248684
+0.0241156
+0.0235132
+0.0230168
+0.0226872
+0.0225413
+0.0225079
+0.0225778
+0.0227615
+0.0230319
+0.0232963
+0.023608
+0.0240075
+0.024575
+0.0252709
+0.0260328
+0.0267404
+0.0275979
+0.0285238
+0.0294104
+0.0298368
+0.0304154
+0.0306531
+0.0304995
+0.0304473
+0.0305419
+0.0307729
+0.0311566
+0.0316874
+0.0323486
+0.0331348
+0.0340335
+0.0350454
+0.0361618
+0.0373733
+0.0386369
+0.0399724
+0.0413808
+0.042855
+0.0443883
+0.0459722
+0.0471772
+0.0482401
+0.0493609
+0.050519
+0.051718
+0.0529553
+0.0542404
+0.0555821
+0.0569602
+0.058388
+0.0747748
+0.0728639
+0.0709693
+0.0690921
+0.067234
+0.0653964
+0.0635812
+0.0617903
+0.0600259
+0.0582905
+0.0565867
+0.0549175
+0.0532828
+0.0516862
+0.0501345
+0.048632
+0.0471833
+0.0457937
+0.0444686
+0.043214
+0.0420362
+0.0409293
+0.0394817
+0.0380884
+0.0367728
+0.0355438
+0.0344104
+0.0333824
+0.03247
+0.0316829
+0.0310224
+0.0304834
+0.0300946
+0.0298618
+0.0297888
+0.0298766
+0.0297898
+0.0293554
+0.0290801
+0.0289682
+0.0290218
+0.0292398
+0.0295957
+0.030099
+0.0305869
+0.0292377
+0.0279929
+0.0268372
+0.0258159
+0.0249454
+0.0241949
+0.0235946
+0.02314
+0.0228122
+0.0226671
+0.0226748
+0.0227728
+0.0230106
+0.0233573
+0.0236939
+0.0240391
+0.0244316
+0.0249894
+0.0257067
+0.0264593
+0.027156
+0.0280007
+0.0289138
+0.0297709
+0.0302712
+0.0308416
+0.030981
+0.0307741
+0.0307224
+0.0308161
+0.0310451
+0.0314202
+0.0319299
+0.0325792
+0.03336
+0.0342528
+0.0352583
+0.0363682
+0.0375731
+0.0388642
+0.0402332
+0.0416534
+0.0431357
+0.0446763
+0.0462693
+0.0479095
+0.0490807
+0.0501836
+0.0513222
+0.0525137
+0.0537394
+0.0550062
+0.0563296
+0.0576899
+0.0591001
+0.0742553
+0.0723311
+0.0704226
+0.0685309
+0.0666575
+0.064804
+0.0629717
+0.061163
+0.0593801
+0.0576252
+0.0559011
+0.0542107
+0.0525573
+0.0509445
+0.0493739
+0.0478475
+0.0463744
+0.0449598
+0.0436094
+0.0423293
+0.0411176
+0.0399834
+0.0388473
+0.0374304
+0.0360909
+0.0348377
+0.0336806
+0.0326297
+0.0316956
+0.0308888
+0.0302103
+0.0296566
+0.0292568
+0.0290173
+0.0289422
+0.0290326
+0.0289116
+0.0284639
+0.0281798
+0.0280644
+0.0281196
+0.0283446
+0.0287116
+0.0292302
+0.0299006
+0.0294011
+0.0281494
+0.0270003
+0.0259855
+0.0251212
+0.0244233
+0.0238359
+0.0234202
+0.0231366
+0.0230018
+0.0230498
+0.0231461
+0.0234476
+0.0238121
+0.0242795
+0.0246579
+0.0250407
+0.0255853
+0.0262863
+0.027057
+0.0277388
+0.0285664
+0.029451
+0.0301807
+0.0308553
+0.0312015
+0.0314046
+0.0312005
+0.0311426
+0.0312159
+0.0314419
+0.0318088
+0.0323123
+0.0329541
+0.0337262
+0.0346096
+0.035605
+0.0367044
+0.0378986
+0.039179
+0.0405374
+0.0419473
+0.0434196
+0.0449504
+0.046534
+0.0481652
+0.0498394
+0.0510862
+0.0522051
+0.0533785
+0.0545982
+0.0558475
+0.0571515
+0.0584926
+0.0598839
+0.0737965
+0.0718601
+0.0699386
+0.0680335
+0.066146
+0.0642778
+0.0624305
+0.0606061
+0.0588067
+0.0570347
+0.0552927
+0.0535837
+0.0519109
+0.0502774
+0.0486876
+0.047146
+0.0456564
+0.0442188
+0.0428426
+0.0415248
+0.040283
+0.0391247
+0.0380572
+0.0368909
+0.0355311
+0.0342575
+0.0330801
+0.0320094
+0.0310567
+0.0302329
+0.0295388
+0.0289722
+0.0285629
+0.0283175
+0.0282405
+0.0283331
+0.0281768
+0.0277172
+0.0274254
+0.0273068
+0.0273636
+0.0275947
+0.0279715
+0.0285036
+0.0291907
+0.0296965
+0.0284726
+0.0273386
+0.0263368
+0.0254844
+0.0247968
+0.0242377
+0.0238406
+0.0235897
+0.0235131
+0.0235664
+0.0237167
+0.0239934
+0.0241636
+0.0245034
+0.025031
+0.0255644
+0.0262247
+0.0268303
+0.0275788
+0.0283387
+0.0291261
+0.0296575
+0.0302302
+0.0309477
+0.0315978
+0.0318595
+0.0317523
+0.031673
+0.031745
+0.0319673
+0.0323368
+0.0328368
+0.0334685
+0.034229
+0.0350997
+0.0360817
+0.0371669
+0.0383467
+0.0396127
+0.0409471
+0.0423473
+0.0438113
+0.0453288
+0.0468997
+0.0485186
+0.050181
+0.0518826
+0.0531637
+0.0543163
+0.0555154
+0.0567589
+0.0580444
+0.0593653
+0.0607366
+0.0734003
+0.0714531
+0.0695204
+0.0676035
+0.0657036
+0.0638224
+0.0619616
+0.060123
+0.0583087
+0.0565211
+0.0547628
+0.0530367
+0.051346
+0.0496944
+0.0480859
+0.046525
+0.0450166
+0.0435647
+0.0421563
+0.0408163
+0.0395524
+0.0383719
+0.037283
+0.0362937
+0.0350993
+0.0338095
+0.0326159
+0.0315295
+0.0305618
+0.0297243
+0.0290175
+0.0284406
+0.0280234
+0.0277733
+0.0276948
+0.0277892
+0.0275711
+0.0271273
+0.0268291
+0.0267078
+0.0267659
+0.0270021
+0.0273871
+0.0279303
+0.0286312
+0.0294623
+0.0289452
+0.0278441
+0.0268611
+0.0260259
+0.025353
+0.024827
+0.0244394
+0.0242331
+0.0241585
+0.0242488
+0.0244155
+0.0243991
+0.0245664
+0.0249007
+0.02542
+0.0260527
+0.0267008
+0.027241
+0.0278729
+0.0284644
+0.0291141
+0.0295504
+0.0301251
+0.0308451
+0.0317003
+0.0323593
+0.032421
+0.0323433
+0.0324138
+0.0326316
+0.0329937
+0.0334954
+0.0341161
+0.0348576
+0.035712
+0.0366776
+0.0377457
+0.038908
+0.040144
+0.0414557
+0.0428393
+0.0442881
+0.0457958
+0.047357
+0.0489664
+0.0506152
+0.0523027
+0.0540263
+0.055325
+0.0565028
+0.057725
+0.0590032
+0.0603051
+0.0616554
+0.0730254
+0.0711113
+0.0691691
+0.0672421
+0.0653318
+0.0634396
+0.0615671
+0.0597164
+0.0578894
+0.0560884
+0.0543161
+0.0525753
+0.0508693
+0.0492017
+0.0475766
+0.0459984
+0.0444721
+0.0430017
+0.0415742
+0.0402149
+0.0389314
+0.0377316
+0.0366236
+0.035616
+0.0347175
+0.033499
+0.032294
+0.0311922
+0.0302032
+0.0293446
+0.0286283
+0.0280651
+0.0276475
+0.027394
+0.0273143
+0.0274101
+0.0271212
+0.0266782
+0.0264016
+0.0262784
+0.0263374
+0.0265775
+0.0269685
+0.0275199
+0.028231
+0.0290684
+0.0295716
+0.0284947
+0.027535
+0.0267208
+0.0260658
+0.0255684
+0.025215
+0.0250165
+0.0249693
+0.0250192
+0.0250069
+0.0249908
+0.0251543
+0.0254808
+0.0259885
+0.0266274
+0.0270068
+0.0274699
+0.0280966
+0.0286835
+0.0291697
+0.0296053
+0.0301791
+0.0308978
+0.0317516
+0.0327301
+0.0332209
+0.0331451
+0.0332139
+0.0334265
+0.03378
+0.0342703
+0.0348691
+0.0355887
+0.036426
+0.0373731
+0.0384219
+0.0395644
+0.0407805
+0.0420723
+0.0434363
+0.0448658
+0.0463548
+0.0478977
+0.0494895
+0.0511257
+0.052802
+0.0545149
+0.0562589
+0.0575566
+0.0587569
+0.0600132
+0.0613087
+0.0626374
+0.0724884
+0.0706065
+0.0687426
+0.0668916
+0.0650316
+0.0631304
+0.0612485
+0.0593879
+0.0575504
+0.0557385
+0.0539547
+0.0522019
+0.0504833
+0.0488025
+0.0471636
+0.0455711
+0.04403
+0.0425443
+0.0411009
+0.0397253
+0.0384255
+0.0372093
+0.0360853
+0.0350622
+0.0341492
+0.0333108
+0.0320955
+0.0309806
+0.0299846
+0.0291196
+0.0283976
+0.0278297
+0.0274115
+0.0271558
+0.0270755
+0.0271721
+0.026843
+0.0263954
+0.0261231
+0.0259985
+0.0260582
+0.0263008
+0.0267035
+0.0272603
+0.0279746
+0.0288091
+0.0297817
+0.029295
+0.0283624
+0.0275727
+0.0269384
+0.0264574
+0.0261296
+0.0259603
+0.025879
+0.0256349
+0.0255768
+0.0257059
+0.0259145
+0.0262316
+0.0265109
+0.0268328
+0.027327
+0.0278696
+0.0284875
+0.0290551
+0.0293616
+0.0297902
+0.030369
+0.0310821
+0.03193
+0.0329021
+0.0339608
+0.0340586
+0.0341255
+0.0343325
+0.0346768
+0.0351545
+0.0357346
+0.0364371
+0.0372553
+0.0381819
+0.0392091
+0.0403292
+0.0415229
+0.0427923
+0.0441341
+0.0455417
+0.0470092
+0.0485314
+0.0501031
+0.0517198
+0.0533775
+0.0550725
+0.0568013
+0.0585611
+0.0598512
+0.061085
+0.0623613
+0.0636797
+0.0720141
+0.0701188
+0.0682385
+0.0663766
+0.0645324
+0.0627097
+0.0609112
+0.0591387
+0.0572933
+0.055473
+0.0536803
+0.0519182
+0.0501899
+0.048499
+0.0468495
+0.0452459
+0.0436934
+0.0421957
+0.0407399
+0.0393518
+0.0380392
+0.0368103
+0.0356736
+0.0346384
+0.033714
+0.0329096
+0.03204
+0.0309232
+0.0299252
+0.0290584
+0.0283349
+0.0277657
+0.0273466
+0.0270902
+0.0270097
+0.0271065
+0.0267421
+0.0262927
+0.0260193
+0.0258943
+0.0259542
+0.0261977
+0.026602
+0.0271609
+0.0278777
+0.028715
+0.0296907
+0.0302332
+0.0293305
+0.0285675
+0.0279558
+0.0274926
+0.0271773
+0.0269866
+0.0265761
+0.0263385
+0.0262819
+0.0263964
+0.0264756
+0.0266471
+0.0268963
+0.0272122
+0.0276921
+0.0283082
+0.0289617
+0.0294073
+0.02971
+0.0301336
+0.0307059
+0.0314114
+0.0322506
+0.0332133
+0.0342891
+0.0348994
+0.0351462
+0.0353471
+0.0356817
+0.0361461
+0.0367106
+0.0373947
+0.0381924
+0.0390968
+0.0401005
+0.0411964
+0.0423657
+0.0436106
+0.0449279
+0.0463114
+0.0477553
+0.0492544
+0.0508037
+0.0523989
+0.0540357
+0.0557107
+0.0574203
+0.0591617
+0.0609321
+0.0622155
+0.0634691
+0.0647679
+0.0715944
+0.0696845
+0.0677916
+0.0659172
+0.0640628
+0.0622303
+0.060419
+0.0586263
+0.0568615
+0.0551273
+0.0534266
+0.0517259
+0.049991
+0.0482931
+0.0466363
+0.0450251
+0.0434647
+0.0419588
+0.0404945
+0.0390976
+0.0377762
+0.0365384
+0.0353931
+0.0343494
+0.0334169
+0.0326052
+0.0319235
+0.0310207
+0.030026
+0.0291622
+0.0284413
+0.0278743
+0.0274568
+0.0272015
+0.0271213
+0.0272177
+0.0268202
+0.0263722
+0.0260997
+0.025975
+0.0260347
+0.0262775
+0.0266806
+0.0272379
+0.0279527
+0.0287879
+0.0297611
+0.0308375
+0.0304257
+0.0296909
+0.0291028
+0.0286555
+0.0281951
+0.0277248
+0.0274055
+0.0270724
+0.0269141
+0.0269337
+0.0270052
+0.0271733
+0.0274216
+0.0277283
+0.0281988
+0.0288041
+0.0295095
+0.0299162
+0.0302136
+0.0306302
+0.0311934
+0.0318882
+0.0327151
+0.0336646
+0.0347264
+0.035721
+0.0360691
+0.0364653
+0.0367897
+0.0372404
+0.0377884
+0.0384534
+0.0392296
+0.0401106
+0.0410896
+0.0421598
+0.0433031
+0.0445218
+0.0458129
+0.0471704
+0.0485888
+0.0500629
+0.051588
+0.0531596
+0.0547737
+0.0564268
+0.0581153
+0.0598365
+0.0615875
+0.0633658
+0.0646322
+0.0659081
+0.071236
+0.0693163
+0.067413
+0.0655277
+0.063662
+0.0618176
+0.0599939
+0.0581881
+0.0564096
+0.054661
+0.0529453
+0.0512658
+0.0496263
+0.0480306
+0.0464835
+0.0449102
+0.0433451
+0.0418196
+0.0403526
+0.0389535
+0.0376301
+0.0363905
+0.0352436
+0.0341985
+0.0332617
+0.0324457
+0.0317602
+0.0312137
+0.0302853
+0.0294291
+0.0287149
+0.0281534
+0.0277401
+0.0274874
+0.0274081
+0.0275035
+0.0270532
+0.0266091
+0.0263403
+0.026239
+0.0262981
+0.0265386
+0.0269303
+0.0274825
+0.0281942
+0.0290263
+0.0299918
+0.0310603
+0.0316349
+0.0309289
+0.0302251
+0.0294645
+0.0288506
+0.0283929
+0.02809
+0.0277651
+0.0276108
+0.0276299
+0.0276984
+0.0278623
+0.028103
+0.0284038
+0.0288633
+0.029455
+0.030152
+0.030574
+0.0308649
+0.0312728
+0.0318246
+0.0325059
+0.0333175
+0.0342502
+0.0352945
+0.0364406
+0.0369934
+0.0374527
+0.0379919
+0.0384284
+0.0389598
+0.0396051
+0.0403592
+0.041216
+0.0421693
+0.0432128
+0.044329
+0.0455202
+0.0467837
+0.0481139
+0.0495053
+0.0509529
+0.0524521
+0.0539985
+0.0555883
+0.0572178
+0.0588837
+0.0605831
+0.0623131
+0.0640713
+0.0658476
+0.0671004
+0.0709435
+0.0690156
+0.0671038
+0.0652096
+0.0633345
+0.0614803
+0.0596462
+0.0578296
+0.0560397
+0.0542792
+0.052551
+0.0508585
+0.0492054
+0.0475957
+0.0460339
+0.0445252
+0.0430751
+0.0416898
+0.0403203
+0.0389201
+0.0375954
+0.0363546
+0.0352066
+0.0341605
+0.0332225
+0.0324055
+0.0317191
+0.0311719
+0.0306991
+0.0298548
+0.029151
+0.0285981
+0.0281882
+0.0279396
+0.0278615
+0.0279554
+0.0274481
+0.0270105
+0.0267458
+0.0266481
+0.0267063
+0.0269431
+0.027327
+0.0278713
+0.0285737
+0.0294202
+0.0303735
+0.0314344
+0.0325952
+0.0318467
+0.0309712
+0.0302294
+0.0296314
+0.0291859
+0.0289
+0.028608
+0.0284583
+0.0284768
+0.0285183
+0.0286776
+0.0289123
+0.0292077
+0.0296615
+0.0302382
+0.0309299
+0.0313713
+0.0316546
+0.0320525
+0.0325911
+0.0332567
+0.0340504
+0.0349636
+0.0359871
+0.0371119
+0.0380019
+0.0384457
+0.0389922
+0.0396525
+0.0402105
+0.0408361
+0.0415678
+0.0424003
+0.0433275
+0.0443438
+0.0454374
+0.0466003
+0.0478353
+0.049137
+0.0505002
+0.0519201
+0.0533921
+0.0549121
+0.0564762
+0.0580808
+0.0597226
+0.0613987
+0.0631064
+0.0648431
+0.0666066
+0.0683422
+0.0707176
+0.0687834
+0.066865
+0.0649638
+0.0630814
+0.0612195
+0.0593774
+0.0575522
+0.0557534
+0.0539836
+0.0522457
+0.050543
+0.0488792
+0.0472583
+0.0456851
+0.0441644
+0.0427021
+0.0413042
+0.0399776
+0.0387295
+0.0375678
+0.0364507
+0.0353057
+0.0342627
+0.0333275
+0.0325132
+0.0318292
+0.0312839
+0.0308846
+0.0304326
+0.0297425
+0.0291874
+0.0287811
+0.0285376
+0.0284612
+0.0285531
+0.0280094
+0.0275807
+0.0273214
+0.0272085
+0.0272655
+0.0274974
+0.0278907
+0.0284242
+0.0291132
+0.0299449
+0.0308821
+0.0317866
+0.0327655
+0.0327028
+0.0318508
+0.03113
+0.0305496
+0.0301177
+0.0298407
+0.0295894
+0.0294447
+0.0294521
+0.0294712
+0.0296253
+0.0298526
+0.0301388
+0.0305787
+0.0311385
+0.0318389
+0.0322977
+0.0325707
+0.0329596
+0.0334836
+0.0341318
+0.0349056
+0.035797
+0.0367974
+0.0378981
+0.0389704
+0.0395352
+0.0400669
+0.0407097
+0.0414585
+0.0421365
+0.042846
+0.0436541
+0.0445553
+0.0455441
+0.046615
+0.0477565
+0.0489623
+0.0502348
+0.051569
+0.0529603
+0.0544042
+0.0558966
+0.0574339
+0.0590125
+0.0606291
+0.0622808
+0.0639649
+0.0656789
+0.0674206
+0.0691877
+0.0705591
+0.0686204
+0.0666973
+0.0647912
+0.0629037
+0.0610363
+0.0591884
+0.0573573
+0.0555522
+0.0537757
+0.0520309
+0.0503209
+0.0486495
+0.0470207
+0.0454392
+0.0439101
+0.042439
+0.0410322
+0.0396964
+0.0384392
+0.0372685
+0.0361926
+0.0352202
+0.0343602
+0.0335755
+0.0327674
+0.0320887
+0.0315479
+0.0311521
+0.030897
+0.0304701
+0.0299212
+0.029525
+0.0292877
+0.0292132
+0.029275
+0.0286984
+0.0282801
+0.0280273
+0.0279135
+0.0279691
+0.0281953
+0.0283053
+0.0285724
+0.029003
+0.02959
+0.0303242
+0.0311952
+0.032192
+0.0333033
+0.0328531
+0.0321548
+0.0315932
+0.0311758
+0.0309083
+0.0306961
+0.0305464
+0.0305333
+0.0305517
+0.0307004
+0.0309198
+0.0311962
+0.0316214
+0.0321631
+0.0328416
+0.0333426
+0.033601
+0.0339839
+0.0344924
+0.0351219
+0.0358744
+0.0367423
+0.0377176
+0.0387922
+0.0398404
+0.0407135
+0.0412301
+0.041855
+0.0425836
+0.0434107
+0.0441958
+0.0449797
+0.0458548
+0.0468162
+0.0478586
+0.0489769
+0.0501598
+0.0514026
+0.0527073
+0.0540692
+0.0554843
+0.0569485
+0.0584581
+0.0600097
+0.0616002
+0.0632265
+0.0648861
+0.0665764
+0.0682951
+0.0700402
+0.0704684
+0.0685271
+0.0666013
+0.0646924
+0.0628018
+0.0609314
+0.0590802
+0.0572456
+0.0554369
+0.0536566
+0.0519077
+0.0501935
+0.0485177
+0.0468844
+0.0452982
+0.0437641
+0.0422879
+0.0408759
+0.0395349
+0.0382724
+0.0370963
+0.0360153
+0.035038
+0.0341734
+0.03343
+0.0327901
+0.0322849
+0.0319224
+0.0315696
+0.0313179
+0.0311984
+0.0307936
+0.0304088
+0.0301785
+0.0301062
+0.0300913
+0.0295306
+0.0288793
+0.0283385
+0.0279595
+0.0277487
+0.02771
+0.0278126
+0.0280844
+0.0285224
+0.029119
+0.0298648
+0.0307489
+0.0317597
+0.0328856
+0.0339674
+0.0332924
+0.0327503
+0.0323478
+0.0320888
+0.0319052
+0.0317417
+0.0317291
+0.0317468
+0.0318899
+0.0321012
+0.0323675
+0.0327776
+0.0333004
+0.0339562
+0.034495
+0.034739
+0.0351152
+0.0356075
+0.0362177
+0.0369479
+0.0377911
+0.03874
+0.039787
+0.0408097
+0.0418125
+0.0424745
+0.0430814
+0.0437896
+0.0445943
+0.0454903
+0.0463709
+0.0472203
+0.0481544
+0.0491685
+0.0502576
+0.0514171
+0.0526358
+0.0539106
+0.0552429
+0.0566286
+0.0580639
+0.0595453
+0.0610693
+0.0626328
+0.0642331
+0.0658673
+0.067533
+0.069228
+0.0703038
+0.0704457
+0.0685038
+0.0665773
+0.0646677
+0.0627764
+0.0609052
+0.0590531
+0.0572176
+0.055408
+0.0536267
+0.0518769
+0.0501616
+0.0484847
+0.0468502
+0.0452628
+0.0437275
+0.04225
+0.0408367
+0.0394943
+0.0382305
+0.0370531
+0.0359708
+0.0349923
+0.0341265
+0.033382
+0.0327413
+0.0322354
+0.0318723
+0.031657
+0.0315925
+0.0316798
+0.0317893
+0.0314208
+0.0310708
+0.0305481
+0.0301104
+0.029266
+0.028565
+0.0280182
+0.0276348
+0.0274215
+0.0273823
+0.0274862
+0.0277612
+0.0282042
+0.0288074
+0.029561
+0.0304539
+0.0314742
+0.03261
+0.0338495
+0.0345263
+0.0339969
+0.0336015
+0.0333457
+0.0331963
+0.0330392
+0.033027
+0.0330441
+0.0331816
+0.0333847
+0.0336408
+0.0340325
+0.0345357
+0.0351684
+0.0357206
+0.0359562
+0.0363227
+0.0368161
+0.0374097
+0.0381171
+0.038935
+0.0398567
+0.0408751
+0.0418712
+0.0428491
+0.0437931
+0.044382
+0.0450698
+0.045852
+0.0467239
+0.0476806
+0.0486461
+0.0495534
+0.0505394
+0.0515996
+0.0527295
+0.0539249
+0.0551746
+0.0564771
+0.0578333
+0.0592394
+0.0606921
+0.062188
+0.0637241
+0.0652976
+0.0669058
+0.0685463
+0.0695013
+0.0701356
+0.0704911
+0.0685505
+0.0666253
+0.0647171
+0.0628273
+0.0609577
+0.0591072
+0.0572735
+0.0554656
+0.0536863
+0.0519385
+0.0502253
+0.0485506
+0.0469184
+0.0453334
+0.0438006
+0.0423256
+0.0409149
+0.0395752
+0.038314
+0.0371393
+0.0360596
+0.0350834
+0.034217
+0.03347
+0.0328389
+0.0323345
+0.0319725
+0.0317579
+0.0316937
+0.0317806
+0.031795
+0.0309873
+0.0303093
+0.0297733
+0.0293912
+0.0291131
+0.0284084
+0.0278585
+0.0274728
+0.0272582
+0.0272188
+0.0273319
+0.0276085
+0.0280539
+0.0286603
+0.0294177
+0.0303148
+0.0313396
+0.0324801
+0.0337244
+0.0350445
+0.0353212
+0.0349408
+0.0346948
+0.0345781
+0.0344273
+0.0344156
+0.034432
+0.034564
+0.0347388
+0.034985
+0.0353654
+0.0358527
+0.0364626
+0.0370334
+0.0372607
+0.0376144
+0.0380911
+0.0386771
+0.0393616
+0.0401542
+0.0410485
+0.0420381
+0.0430178
+0.0439703
+0.0449937
+0.0457506
+0.0464181
+0.047178
+0.0480258
+0.0489571
+0.0499627
+0.0510081
+0.0519665
+0.0529982
+0.0540989
+0.0552646
+0.0564913
+0.0577681
+0.0590946
+0.0604715
+0.0618952
+0.0633627
+0.064871
+0.0664174
+0.0679991
+0.068829
+0.0694003
+0.0700355
+0.0706045
+0.068667
+0.0667453
+0.0648406
+0.0629545
+0.0610888
+0.0592423
+0.0574129
+0.0556096
+0.0538351
+0.0520922
+0.0503843
+0.048715
+0.0470886
+0.0455094
+0.0439827
+0.0425142
+0.0411081
+0.039771
+0.038512
+0.0373393
+0.0362611
+0.0352861
+0.034423
+0.0336806
+0.0330597
+0.0325587
+0.0321993
+0.0319863
+0.0319224
+0.0320088
+0.0311885
+0.0303533
+0.0296567
+0.0291087
+0.0287178
+0.0284904
+0.0283958
+0.0278457
+0.0274598
+0.0272451
+0.0272057
+0.0273252
+0.0276018
+0.0280473
+0.0286538
+0.0294114
+0.0303087
+0.0313337
+0.0324744
+0.0337189
+0.0350343
+0.0364317
+0.0363628
+0.0361265
+0.0360221
+0.0358955
+0.0358843
+0.0358948
+0.0360215
+0.0361729
+0.0364094
+0.0367751
+0.037252
+0.0378393
+0.0384263
+0.0386454
+0.0389866
+0.0394466
+0.0400128
+0.0406749
+0.0414423
+0.0423094
+0.0432468
+0.0437898
+0.0444343
+0.045176
+0.0460101
+0.0469317
+0.0479358
+0.0490069
+0.0501445
+0.0512762
+0.0523155
+0.0534245
+0.054449
+0.055521
+0.0566574
+0.0578545
+0.0591086
+0.0604091
+0.0617567
+0.0631514
+0.0645904
+0.0660707
+0.0675896
+0.0682821
+0.0687824
+0.0693407
+0.0699633
+0.0707855
+0.0688532
+0.0669368
+0.0650377
+0.0631575
+0.0612977
+0.0594526
+0.0576301
+0.0558341
+0.0540671
+0.0523322
+0.0506327
+0.0489722
+0.047352
+0.0457784
+0.0442574
+0.0427945
+0.0413959
+0.0400683
+0.038819
+0.0376558
+0.0365869
+0.0356208
+0.0347661
+0.0340312
+0.0334168
+0.0329213
+0.0325659
+0.0323552
+0.0322921
+0.03168
+0.0307022
+0.0298534
+0.0291448
+0.028587
+0.0281888
+0.0279571
+0.0278925
+0.0279701
+0.0276211
+0.0274077
+0.0273686
+0.0274873
+0.0277623
+0.0282053
+0.0288085
+0.0295621
+0.0304549
+0.0314752
+0.0326109
+0.0338504
+0.0351609
+0.0365535
+0.0378583
+0.0376314
+0.0375312
+0.0374344
+0.0374237
+0.0374241
+0.0375456
+0.0376798
+0.0379069
+0.0382583
+0.0387248
+0.0392179
+0.039358
+0.0395991
+0.0399554
+0.0404275
+0.0409865
+0.0414611
+0.0420385
+0.0426984
+0.0432519
+0.0438446
+0.0445372
+0.0452947
+0.0461267
+0.047046
+0.0480477
+0.0491267
+0.05027
+0.051473
+0.0527396
+0.0540653
+0.0554459
+0.0568774
+0.0580995
+0.0592675
+0.0604923
+0.0617705
+0.0630918
+0.0644576
+0.0658681
+0.0673203
+0.0677871
+0.0682131
+0.0687062
+0.0692652
+0.0698852
+0.0710337
+0.0691083
+0.0671991
+0.0653077
+0.0634312
+0.0615706
+0.0597323
+0.0579186
+0.0561318
+0.0543745
+0.0526498
+0.0509608
+0.0493114
+0.0477027
+0.0461411
+0.0446324
+0.0431823
+0.0417966
+0.0404822
+0.039246
+0.0380959
+0.0370397
+0.0360857
+0.0352423
+0.0345175
+0.0339119
+0.0334237
+0.0330737
+0.0328663
+0.0324611
+0.0313548
+0.0303665
+0.029508
+0.028791
+0.0282261
+0.0278228
+0.027588
+0.0275226
+0.0276011
+0.0278523
+0.0277429
+0.0277042
+0.0278215
+0.0280932
+0.028531
+0.0291275
+0.029873
+0.0307569
+0.0317675
+0.0328931
+0.0341223
+0.0354228
+0.0368054
+0.0382637
+0.0392009
+0.0391047
+0.0390295
+0.0390192
+0.0390165
+0.039133
+0.0392512
+0.0392461
+0.0390188
+0.0389137
+0.0389318
+0.0390729
+0.0393158
+0.0396746
+0.04015
+0.0407377
+0.0413742
+0.0419422
+0.0425163
+0.0431868
+0.0438436
+0.0445363
+0.0453244
+0.046203
+0.0471671
+0.0482115
+0.0493311
+0.0504799
+0.0516855
+0.0529496
+0.0542702
+0.0556457
+0.0570722
+0.0585459
+0.0600634
+0.0616214
+0.0630676
+0.0644714
+0.0658109
+0.0671241
+0.0673982
+0.0677421
+0.0681547
+0.0686348
+0.0691809
+0.0697916
+0.0713482
+0.0694316
+0.0675305
+0.0656402
+0.0637688
+0.0619183
+0.0600907
+0.0582881
+0.056513
+0.0547679
+0.0530559
+0.0513803
+0.0497448
+0.0481506
+0.046604
+0.0451109
+0.0436766
+0.0423071
+0.041009
+0.0397893
+0.0386553
+0.0376148
+0.0366758
+0.0358463
+0.0351339
+0.0345392
+0.03406
+0.0337166
+0.0334929
+0.0322927
+0.0311804
+0.0301864
+0.0293227
+0.028601
+0.0280323
+0.0276262
+0.0273897
+0.0273238
+0.0274029
+0.0276559
+0.028078
+0.0282064
+0.0283216
+0.0285886
+0.029019
+0.0296056
+0.0303394
+0.0312101
+0.0322064
+0.0333172
+0.0345313
+0.0358169
+0.037185
+0.0386289
+0.0401405
+0.0407353
+0.0406773
+0.0406675
+0.0404778
+0.0398982
+0.039432
+0.0390832
+0.0388549
+0.0387494
+0.0387675
+0.0389092
+0.0391532
+0.0395135
+0.0399907
+0.0405808
+0.0412183
+0.0417898
+0.042366
+0.0430388
+0.0437969
+0.0446431
+0.0454293
+0.0463059
+0.0472679
+0.0483101
+0.0494275
+0.0506113
+0.0518581
+0.053166
+0.0545306
+0.0559213
+0.057344
+0.058814
+0.0603275
+0.0618789
+0.0634679
+0.0650919
+0.0666272
+0.0670982
+0.0673724
+0.0677164
+0.0681292
+0.0686094
+0.0691558
+0.0697667
+0.0717284
+0.0698164
+0.0679187
+0.0660391
+0.0641793
+0.062341
+0.0605262
+0.058737
+0.0569758
+0.0552454
+0.0535487
+0.051889
+0.05027
+0.048693
+0.0471643
+0.0456894
+0.0442739
+0.0429235
+0.0416446
+0.040444
+0.0393289
+0.0383068
+0.0373851
+0.0365717
+0.0358737
+0.0352915
+0.0348226
+0.0344868
+0.0334585
+0.0322602
+0.0311595
+0.0301648
+0.0293004
+0.0285781
+0.028009
+0.0276025
+0.0273659
+0.0272999
+0.0273791
+0.0276323
+0.0280547
+0.028639
+0.0289792
+0.0292402
+0.0296611
+0.0302353
+0.0309542
+0.031808
+0.0327862
+0.033878
+0.0350727
+0.0363391
+0.0376882
+0.0391136
+0.0406071
+0.0421616
+0.0417431
+0.0410382
+0.0404297
+0.0398585
+0.0393918
+0.0390427
+0.0388142
+0.0387085
+0.0387267
+0.0388686
+0.0391128
+0.0394734
+0.0399512
+0.0405418
+0.0411575
+0.0417519
+0.0423286
+0.0430021
+0.0437608
+0.0446142
+0.0455571
+0.0465119
+0.0474697
+0.0485076
+0.0496205
+0.0507998
+0.0520421
+0.0533455
+0.0547056
+0.0561183
+0.0575797
+0.0590862
+0.0606344
+0.0622006
+0.0637844
+0.0654033
+0.0669404
+0.0671438
+0.0674179
+0.0677616
+0.0681741
+0.068654
+0.0692
+0.0698105
+0.0721625
+0.0702599
+0.0683745
+0.0665079
+0.0646616
+0.0628374
+0.0610373
+0.0592635
+0.0575185
+0.0558049
+0.0541257
+0.0524843
+0.0508843
+0.0493269
+0.0478184
+0.0463644
+0.0449701
+0.0436412
+0.042384
+0.041205
+0.040111
+0.0391093
+0.0382071
+0.0374115
+0.0367295
+0.036161
+0.0357036
+0.0348462
+0.0335545
+0.0323598
+0.0312731
+0.0302847
+0.0294238
+0.0287047
+0.0281381
+0.0277335
+0.027498
+0.0274359
+0.0275299
+0.0277818
+0.028202
+0.0287833
+0.0295161
+0.0300378
+0.0304477
+0.0310073
+0.0317087
+0.0325427
+0.0334994
+0.0345687
+0.0357403
+0.0369839
+0.0383103
+0.0397133
+0.0411851
+0.04238
+0.0415706
+0.0408626
+0.0402563
+0.0397437
+0.0393464
+0.0390682
+0.0388863
+0.0387809
+0.038799
+0.0389406
+0.0391844
+0.0395444
+0.0400213
+0.0406109
+0.0412131
+0.0418289
+0.0424046
+0.0430768
+0.0438342
+0.0446863
+0.0456277
+0.0466531
+0.047757
+0.0488027
+0.049909
+0.0510816
+0.0523173
+0.053614
+0.0549674
+0.0563736
+0.0578285
+0.0593287
+0.0608707
+0.0624515
+0.0640683
+0.0657183
+0.0669939
+0.0671972
+0.067471
+0.0678145
+0.0682267
+0.0687062
+0.0692518
+0.0698618
+0.0726578
+0.0707685
+0.0688971
+0.067045
+0.0652139
+0.0634056
+0.0616221
+0.0598656
+0.0581387
+0.0564439
+0.0547844
+0.0531633
+0.0515843
+0.0500487
+0.0485626
+0.0471315
+0.0457606
+0.0444554
+0.0432219
+0.0420664
+0.0409954
+0.0400158
+0.0391345
+0.0383582
+0.0376933
+0.0371396
+0.036445
+0.0350755
+0.0337926
+0.0326066
+0.0315284
+0.0305483
+0.029695
+0.0289826
+0.0284216
+0.0280211
+0.027788
+0.0277266
+0.0278216
+0.0280708
+0.0284868
+0.0290624
+0.0297884
+0.030654
+0.0313678
+0.0319112
+0.0325932
+0.0334051
+0.0343378
+0.0353818
+0.0365273
+0.037745
+0.0390456
+0.0404231
+0.0418699
+0.042318
+0.0415075
+0.0407987
+0.0401905
+0.0396769
+0.039279
+0.0390003
+0.0388433
+0.0388096
+0.0388994
+0.0391118
+0.0393649
+0.0397233
+0.040198
+0.0407851
+0.0413848
+0.0420201
+0.0425932
+0.0432625
+0.0440167
+0.0448653
+0.0458031
+0.0468246
+0.0479245
+0.0490897
+0.0502573
+0.0514553
+0.0526822
+0.0539701
+0.0553148
+0.0567123
+0.0581588
+0.0596507
+0.0611846
+0.0627575
+0.0643666
+0.0660091
+0.0671135
+0.0673164
+0.0675897
+0.0679326
+0.0683441
+0.0688228
+0.0693675
+0.0699765
+0.0732154
+0.0713408
+0.0694848
+0.0676488
+0.0658345
+0.0640437
+0.0622785
+0.0605411
+0.058834
+0.0571598
+0.0555216
+0.0539227
+0.0523666
+0.0508547
+0.0493929
+0.0479866
+0.0466408
+0.0453609
+0.0441527
+0.0430222
+0.0419756
+0.0410194
+0.0401601
+0.039404
+0.0387571
+0.0382112
+0.0367949
+0.035439
+0.0341697
+0.0329973
+0.0319323
+0.0309649
+0.0301235
+0.0294215
+0.028869
+0.0284748
+0.0282454
+0.028185
+0.0282785
+0.0285237
+0.0289332
+0.0295001
+0.0302155
+0.0310693
+0.0320503
+0.0329363
+0.0335975
+0.0343841
+0.0352868
+0.0362989
+0.0374121
+0.0386156
+0.0398877
+0.0412371
+0.0426564
+0.0421867
+0.0414407
+0.0407989
+0.0402322
+0.0397192
+0.0393218
+0.0390433
+0.0388865
+0.0388528
+0.0389425
+0.0391547
+0.0394875
+0.0399345
+0.0404298
+0.0410317
+0.0416033
+0.0421343
+0.0427632
+0.0434173
+0.0441705
+0.0450177
+0.0459539
+0.0469721
+0.0480687
+0.0492384
+0.0504761
+0.0517579
+0.0530478
+0.0543954
+0.0557462
+0.0571332
+0.0585693
+0.0600509
+0.0615749
+0.0631381
+0.0647377
+0.0663711
+0.0673025
+0.0675048
+0.0677774
+0.0681194
+0.0685297
+0.0690072
+0.0695504
+0.0701366
+0.0738337
+0.0719753
+0.070136
+0.0683175
+0.0665214
+0.0647497
+0.0630042
+0.0612874
+0.0596017
+0.0579497
+0.0563345
+0.0547593
+0.0532277
+0.051741
+0.0503049
+0.0489248
+0.0476055
+0.0463523
+0.0451706
+0.0440662
+0.0430451
+0.0421132
+0.0412767
+0.0405414
+0.039909
+0.0386855
+0.0372706
+0.0359326
+0.0346814
+0.0335269
+0.0324792
+0.0315287
+0.0307027
+0.0300142
+0.0294728
+0.0290868
+0.0288623
+0.0288032
+0.0288947
+0.0291347
+0.0295357
+0.0300913
+0.030793
+0.0316312
+0.0325952
+0.0336744
+0.034688
+0.0354474
+0.0363232
+0.0373072
+0.0383912
+0.0395668
+0.0408137
+0.0421317
+0.0428796
+0.0420319
+0.0412831
+0.0406388
+0.0401039
+0.039683
+0.0393724
+0.0391655
+0.0390527
+0.0390192
+0.0391085
+0.0393198
+0.0396512
+0.0400964
+0.0405897
+0.0411892
+0.0417587
+0.0422877
+0.0429221
+0.0435875
+0.0443378
+0.0451819
+0.0461147
+0.0471295
+0.0482225
+0.0493885
+0.0506225
+0.0519197
+0.0532754
+0.0546826
+0.0561209
+0.0575543
+0.0590342
+0.0605279
+0.0620401
+0.0635919
+0.0651804
+0.0668029
+0.0675139
+0.0677156
+0.0679706
+0.0682844
+0.0686667
+0.0691063
+0.0696087
+0.070176
+0.0745113
+0.0726702
+0.070849
+0.0690493
+0.0672728
+0.0655213
+0.063797
+0.0621021
+0.0604391
+0.0588107
+0.0572198
+0.0556697
+0.0541638
+0.0527034
+0.0512943
+0.0499416
+0.0486499
+0.0474243
+0.04627
+0.0451924
+0.0441973
+0.0432902
+0.0424769
+0.0417627
+0.0407201
+0.0392606
+0.0378672
+0.036551
+0.0353218
+0.0341889
+0.0331621
+0.0322317
+0.0314243
+0.0307519
+0.0302238
+0.0298474
+0.0296287
+0.0295711
+0.0296603
+0.0298942
+0.0302851
+0.0308271
+0.0315125
+0.032332
+0.0332758
+0.0343336
+0.035488
+0.0366105
+0.0374591
+0.0384141
+0.0394676
+0.0406121
+0.0418279
+0.0431149
+0.0428395
+0.041991
+0.0412415
+0.0405965
+0.0400611
+0.0396396
+0.0393288
+0.0391216
+0.0390365
+0.0390743
+0.0392318
+0.039456
+0.0397863
+0.0402333
+0.0407927
+0.0414233
+0.0420279
+0.0425535
+0.043184
+0.0438666
+0.0446121
+0.0454512
+0.0463786
+0.0473877
+0.0484749
+0.049635
+0.050863
+0.0521542
+0.053504
+0.054908
+0.0563596
+0.0578444
+0.0593728
+0.0609415
+0.0624949
+0.0640855
+0.0656885
+0.0672987
+0.0676547
+0.0678286
+0.0680726
+0.0683859
+0.0687676
+0.0692154
+0.0697173
+0.0702837
+0.0752467
+0.073424
+0.071622
+0.0698422
+0.0680863
+0.0663563
+0.0646543
+0.0629825
+0.0613433
+0.0597396
+0.0581741
+0.0566501
+0.055171
+0.053738
+0.0523567
+0.0510322
+0.0497688
+0.0485714
+0.0474451
+0.0463948
+0.045426
+0.044544
+0.043754
+0.0428822
+0.041383
+0.0399477
+0.0385791
+0.0372881
+0.036084
+0.0349758
+0.0339567
+0.0330462
+0.032259
+0.0316044
+0.0310907
+0.0307249
+0.0305124
+0.0304564
+0.0305447
+0.0307718
+0.0311518
+0.031679
+0.0323463
+0.0331452
+0.0340665
+0.0351005
+0.0362375
+0.0374635
+0.0386859
+0.0396113
+0.0406338
+0.0417463
+0.04293
+0.0438516
+0.0429114
+0.0420643
+0.0413161
+0.0406723
+0.0401379
+0.0397173
+0.039407
+0.0392003
+0.0391154
+0.039153
+0.0393102
+0.039534
+0.0398636
+0.0403098
+0.0408682
+0.0414976
+0.0421762
+0.0427651
+0.0434567
+0.044246
+0.0449916
+0.0458237
+0.0467437
+0.0477451
+0.0488244
+0.0499764
+0.0511962
+0.0524792
+0.0538208
+0.0552168
+0.056663
+0.0581534
+0.059674
+0.0612351
+0.0628338
+0.0644673
+0.0661331
+0.0677205
+0.0678235
+0.0679969
+0.0682403
+0.0685529
+0.0689255
+0.0693601
+0.0698607
+0.0704259
+0.076038
+0.0742348
+0.0724529
+0.070694
+0.0689599
+0.0672524
+0.0655736
+0.0639259
+0.0623115
+0.0607333
+0.0591941
+0.0576971
+0.0562455
+0.0548406
+0.0534878
+0.052192
+0.0509574
+0.0497886
+0.0486904
+0.0476676
+0.0467252
+0.0458682
+0.0451013
+0.0436223
+0.0421494
+0.0407412
+0.0394002
+0.038137
+0.0369593
+0.0358587
+0.0348603
+0.0339741
+0.0332089
+0.0325734
+0.0320752
+0.0317208
+0.031515
+0.0314608
+0.0315499
+0.0317698
+0.032138
+0.0326493
+0.0332971
+0.0340738
+0.0349706
+0.0359786
+0.0370887
+0.0382922
+0.0395803
+0.0408909
+0.0418822
+0.0429624
+0.0441134
+0.0440309
+0.0430946
+0.0422512
+0.0415064
+0.0408656
+0.0403337
+0.0399152
+0.0396065
+0.0394008
+0.0393163
+0.0393537
+0.0395101
+0.0397328
+0.0400608
+0.0405048
+0.0410605
+0.0416871
+0.0424176
+0.0430138
+0.0437014
+0.0444863
+0.0453636
+0.046297
+0.0472078
+0.0481996
+0.0492689
+0.0504107
+0.0516203
+0.052893
+0.0542244
+0.0556102
+0.0570465
+0.0585296
+0.06005
+0.0616016
+0.063191
+0.0648155
+0.0664725
+0.0679598
+0.0680624
+0.0682239
+0.0684529
+0.068751
+0.0691173
+0.0695507
+0.07005
+0.0706137
+0.0768837
+0.0751008
+0.0733399
+0.0716028
+0.0698912
+0.0682071
+0.0665524
+0.0649294
+0.0633407
+0.0617888
+0.0602766
+0.0588071
+0.0573836
+0.0560073
+0.0546833
+0.0534165
+0.0522109
+0.0510708
+0.0500007
+0.0490053
+0.0480891
+0.0472568
+0.0459481
+0.0444444
+0.0429997
+0.0416202
+0.0403126
+0.0390836
+0.0379188
+0.0368461
+0.0358752
+0.0350147
+0.0342727
+0.0336573
+0.0331754
+0.0328328
+0.032634
+0.0325817
+0.0326712
+0.0328837
+0.0332395
+0.0337341
+0.0343615
+0.0351146
+0.0359855
+0.0369658
+0.0380472
+0.0392212
+0.0404798
+0.0418154
+0.043203
+0.0442535
+0.045335
+0.0443179
+0.0433878
+0.0425502
+0.0418107
+0.0411747
+0.0406468
+0.0402315
+0.0399253
+0.0397213
+0.0396375
+0.0396746
+0.0398297
+0.0400506
+0.040376
+0.0408166
+0.0413682
+0.0419901
+0.0427155
+0.0433718
+0.0440538
+0.0448326
+0.0457032
+0.0466605
+0.0476993
+0.0487484
+0.0498058
+0.0509356
+0.0521331
+0.0533935
+0.0547127
+0.0560865
+0.0575109
+0.0589823
+0.0604936
+0.0620341
+0.0636127
+0.0652267
+0.0668736
+0.0682299
+0.0683186
+0.0684772
+0.0687054
+0.0690025
+0.0693674
+0.0697993
+0.0702968
+0.0708586
+0.0777819
+0.07602
+0.074281
+0.0725664
+0.0708781
+0.0692179
+0.067588
+0.0659905
+0.064428
+0.0629029
+0.0614181
+0.0599766
+0.0585815
+0.057234
+0.0559391
+0.0547014
+0.0535247
+0.0524132
+0.0513711
+0.0504027
+0.0495124
+0.0483541
+0.0468252
+0.0453505
+0.0439356
+0.0425865
+0.0413095
+0.0401111
+0.0389771
+0.0379344
+0.0369921
+0.0361581
+0.0354402
+0.0348453
+0.0343801
+0.0340496
+0.033858
+0.0338076
+0.0338939
+0.0340988
+0.034442
+0.0349196
+0.0355261
+0.036255
+0.0370991
+0.0380508
+0.0391021
+0.0402454
+0.0414729
+0.0427775
+0.0441348
+0.0455536
+0.0456499
+0.0447106
+0.0437888
+0.042959
+0.0422267
+0.041597
+0.0410746
+0.0406637
+0.0403607
+0.0401589
+0.040076
+0.0401127
+0.0402662
+0.0404847
+0.0408066
+0.0412426
+0.0417885
+0.0424043
+0.0431227
+0.0437405
+0.044396
+0.0451484
+0.0459929
+0.0469245
+0.0479383
+0.0490263
+0.050175
+0.0513914
+0.0526707
+0.0539784
+0.0552837
+0.0566436
+0.0580543
+0.0595123
+0.0610125
+0.0625404
+0.0641066
+0.0657085
+0.0673435
+0.0685533
+0.0686415
+0.0687995
+0.0690266
+0.0693223
+0.0696856
+0.0701154
+0.0706107
+0.0711658
+0.0787308
+0.0769906
+0.075274
+0.0735826
+0.0719181
+0.0702825
+0.0686779
+0.0671064
+0.0655704
+0.0640725
+0.0626155
+0.0612022
+0.0598357
+0.058517
+0.0572512
+0.0560424
+0.0548945
+0.0538113
+0.0527968
+0.0518551
+0.0508352
+0.0492858
+0.0477866
+0.0463426
+0.0449589
+0.0436414
+0.0423963
+0.0412295
+0.0401273
+0.0391152
+0.0382021
+0.0373951
+0.0367014
+0.0361273
+0.0356787
+0.0353605
+0.035176
+0.0351274
+0.0352103
+0.0354075
+0.0357382
+0.0361987
+0.0367841
+0.0374885
+0.0383055
+0.0392279
+0.0402485
+0.0413601
+0.0425555
+0.0438279
+0.0451538
+0.0465416
+0.0459414
+0.0450178
+0.0441815
+0.0434234
+0.042751
+0.0421291
+0.0416134
+0.0412079
+0.0409089
+0.0407098
+0.040628
+0.0406643
+0.0408157
+0.0410312
+0.0413489
+0.0417792
+0.0423183
+0.0429264
+0.0434948
+0.0440576
+0.0447085
+0.0454557
+0.0462946
+0.0472203
+0.0482278
+0.0493094
+0.0504517
+0.0516616
+0.0529345
+0.0542661
+0.0556521
+0.0570885
+0.0585716
+0.0600955
+0.0616042
+0.0631188
+0.0646709
+0.0662592
+0.0678809
+0.0689448
+0.0690326
+0.0691896
+0.0694155
+0.0697001
+0.0700481
+0.0704569
+0.070929
+0.0714652
+0.0797286
+0.0780107
+0.076317
+0.0746493
+0.0730091
+0.0713985
+0.0698195
+0.0682743
+0.0667652
+0.0652947
+0.0638656
+0.0624805
+0.0611426
+0.0598528
+0.0586158
+0.0574358
+0.0563162
+0.0552609
+0.0542735
+0.0533579
+0.0518148
+0.0502957
+0.0488275
+0.0474152
+0.0460638
+0.0447788
+0.0435661
+0.0424316
+0.0413616
+0.0403805
+0.0394966
+0.0387166
+0.038047
+0.0374935
+0.0370615
+0.0367552
+0.0365777
+0.036531
+0.0366105
+0.0368002
+0.0371185
+0.037562
+0.0381265
+0.0388066
+0.0395964
+0.0404894
+0.041479
+0.0425585
+0.0437211
+0.0449605
+0.0462542
+0.0473267
+0.0463271
+0.0454113
+0.0445824
+0.0438312
+0.0431783
+0.0426199
+0.0421543
+0.0417984
+0.0415551
+0.0413696
+0.0412891
+0.0413248
+0.0414737
+0.0416859
+0.0419986
+0.0424224
+0.0429533
+0.0434441
+0.0439069
+0.044473
+0.0451253
+0.0458657
+0.0466972
+0.0476151
+0.0486144
+0.0496876
+0.0508214
+0.0520227
+0.053287
+0.05461
+0.0559875
+0.0574155
+0.0588904
+0.0604087
+0.0619664
+0.0635588
+0.065186
+0.0668453
+0.0684842
+0.0693301
+0.0694174
+0.0695736
+0.0697982
+0.070084
+0.0704224
+0.070827
+0.0712967
+0.0718301
+0.0807735
+0.0790783
+0.077408
+0.0757643
+0.0741488
+0.0725635
+0.0710104
+0.0694917
+0.0680096
+0.0665666
+0.0651653
+0.0638085
+0.0624991
+0.0612378
+0.0600294
+0.0588777
+0.0577861
+0.0567581
+0.0557972
+0.0544028
+0.0528672
+0.0513791
+0.0499429
+0.048563
+0.0472444
+0.0459924
+0.0448126
+0.0437105
+0.0426727
+0.0417224
+0.0408676
+0.0401143
+0.0394683
+0.0389351
+0.0385193
+0.0382246
+0.038054
+0.0380092
+0.0380853
+0.0382677
+0.0385739
+0.0390009
+0.0395448
+0.0402009
+0.0409638
+0.0418277
+0.0427863
+0.0438336
+0.0449633
+0.0461693
+0.0474302
+0.0478017
+0.0468122
+0.045906
+0.0450863
+0.0443436
+0.0436905
+0.0431253
+0.0426651
+0.0423135
+0.0420732
+0.0419457
+0.0419113
+0.0419907
+0.0421838
+0.0424335
+0.0427509
+0.0431672
+0.0436029
+0.043961
+0.0444185
+0.0449781
+0.0456361
+0.0463756
+0.0471982
+0.0481065
+0.0490958
+0.0501587
+0.0512821
+0.0524729
+0.0537266
+0.055039
+0.056406
+0.0578237
+0.0592884
+0.0607968
+0.0623448
+0.0639278
+0.0655458
+0.0671962
+0.0688768
+0.0697601
+0.0698469
+0.0700021
+0.0702254
+0.0705161
+0.0708605
+0.0712626
+0.0717285
+0.0722534
+0.0818637
+0.0801916
+0.078545
+0.0769255
+0.0753349
+0.0737751
+0.0722481
+0.0707559
+0.0693009
+0.0678854
+0.0665119
+0.0651831
+0.0639018
+0.0626688
+0.0614885
+0.0603646
+0.0593004
+0.0582992
+0.0570416
+0.0554926
+0.053988
+0.0525317
+0.0511278
+0.0497808
+0.0484953
+0.0472764
+0.0461295
+0.0450597
+0.0440538
+0.043134
+0.0423077
+0.0415805
+0.0409576
+0.0404441
+0.0400439
+0.0397606
+0.0395966
+0.0395534
+0.0396264
+0.0398017
+0.0400962
+0.0405072
+0.0410311
+0.0416638
+0.0424004
+0.0432356
+0.0441637
+0.045179
+0.0462759
+0.0474486
+0.0486766
+0.0482132
+0.0472745
+0.0464127
+0.0456271
+0.0449348
+0.0442921
+0.0437346
+0.0432809
+0.0429344
+0.0426976
+0.0425719
+0.0425381
+0.0426163
+0.0428047
+0.043031
+0.0433555
+0.0437872
+0.0442071
+0.0445797
+0.0450309
+0.045583
+0.0462324
+0.0469751
+0.0477944
+0.0486916
+0.0496693
+0.0507202
+0.0518314
+0.0530098
+0.0542511
+0.0555512
+0.0569058
+0.0583114
+0.0597642
+0.0612609
+0.0627974
+0.0643693
+0.0659764
+0.0676164
+0.0692868
+0.0702559
+0.070342
+0.0704962
+0.0707179
+0.0710053
+0.071334
+0.0717281
+0.0721866
+0.0726978
+0.0829974
+0.0813486
+0.0797259
+0.0781309
+0.0765654
+0.0750312
+0.0735302
+0.0720646
+0.0706365
+0.0692483
+0.0679024
+0.0666014
+0.0653479
+0.0641427
+0.06299
+0.0618934
+0.060856
+0.0597228
+0.0581644
+0.0566461
+0.055173
+0.0537488
+0.0523776
+0.0510635
+0.0498112
+0.0486253
+0.0475109
+0.046473
+0.0454985
+0.0446085
+0.04381
+0.0431081
+0.0425077
+0.0420131
+0.041628
+0.0413555
+0.0411979
+0.0411564
+0.0412263
+0.0413949
+0.0416781
+0.0420736
+0.0425783
+0.0431884
+0.0438994
+0.0447065
+0.0456047
+0.0465887
+0.0476531
+0.0487927
+0.0496483
+0.0486386
+0.0477082
+0.0468619
+0.0460862
+0.0454009
+0.0448122
+0.0443241
+0.04394
+0.0436565
+0.0434236
+0.0432927
+0.0432587
+0.0433356
+0.0435076
+0.0437303
+0.0440496
+0.0444746
+0.044901
+0.045296
+0.0457401
+0.0462837
+0.0469235
+0.0476554
+0.0484753
+0.0493608
+0.0503255
+0.0513656
+0.0524664
+0.0536309
+0.0548582
+0.0561442
+0.0574849
+0.0588766
+0.0603158
+0.0617991
+0.0633226
+0.0648817
+0.0664765
+0.0681044
+0.0697631
+0.070816
+0.0709014
+0.0710544
+0.0712704
+0.0714918
+0.0717795
+0.0721326
+0.0725502
+0.0730311
+0.0841729
+0.0825476
+0.0809489
+0.0793785
+0.0778381
+0.0763295
+0.0748545
+0.0734154
+0.0720141
+0.0706529
+0.0693343
+0.0680607
+0.0668346
+0.0656566
+0.064531
+0.063461
+0.0624422
+0.0608751
+0.0593468
+0.0578595
+0.056418
+0.0550261
+0.0536875
+0.0524063
+0.0511868
+0.0500336
+0.0489512
+0.0479447
+0.047001
+0.0461399
+0.0453684
+0.044691
+0.0441121
+0.0436357
+0.043265
+0.0430029
+0.0428514
+0.0428115
+0.0428766
+0.0430387
+0.0433111
+0.0436919
+0.0441781
+0.0447663
+0.0454527
+0.0462327
+0.0471018
+0.0480551
+0.0490878
+0.0501948
+0.0501573
+0.0491581
+0.0482372
+0.0473939
+0.0466342
+0.045957
+0.0453756
+0.0448936
+0.0445144
+0.0442405
+0.0440584
+0.0439793
+0.0440093
+0.0441389
+0.0443078
+0.0445264
+0.0448401
+0.0452576
+0.0456895
+0.0461054
+0.0465418
+0.0470761
+0.0477052
+0.0484253
+0.0492324
+0.0501046
+0.0510552
+0.0520807
+0.0531767
+0.0543333
+0.0555451
+0.0568155
+0.0581407
+0.0595171
+0.0609412
+0.0624096
+0.0639186
+0.0654635
+0.0668632
+0.0679512
+0.0690916
+0.0702818
+0.0714173
+0.0715042
+0.071658
+0.0718783
+0.0721645
+0.0725157
+0.0729311
+0.0734095
+0.0853884
+0.0837867
+0.0822121
+0.0806663
+0.079151
+0.0776678
+0.0762188
+0.0748059
+0.0734311
+0.0720968
+0.070805
+0.0695583
+0.0683591
+0.0672079
+0.0661087
+0.0650647
+0.0636206
+0.062082
+0.0605827
+0.0591265
+0.0577167
+0.0563568
+0.0550506
+0.0538019
+0.0526147
+0.0514935
+0.0504425
+0.0494624
+0.0485462
+0.0477131
+0.0469675
+0.0463135
+0.0457553
+0.0452961
+0.0449392
+0.044687
+0.0445412
+0.0445029
+0.0445591
+0.0447151
+0.0449774
+0.0453442
+0.0458129
+0.0463804
+0.0470432
+0.0477973
+0.0486384
+0.0495622
+0.0505641
+0.0516395
+0.0507558
+0.0497647
+0.0488495
+0.0480169
+0.0472672
+0.0465993
+0.0460259
+0.0455509
+0.0451772
+0.0449073
+0.0447279
+0.04465
+0.0446795
+0.0448162
+0.045059
+0.0454064
+0.0457219
+0.0461315
+0.0465678
+0.0469865
+0.0474311
+0.0479556
+0.0485733
+0.0492807
+0.050074
+0.0509318
+0.0518672
+0.052877
+0.0539568
+0.0551026
+0.0563089
+0.0575624
+0.0588709
+0.0602305
+0.0616381
+0.0628709
+0.0638015
+0.0647929
+0.0658423
+0.0669469
+0.0681041
+0.0693112
+0.0705657
+0.0718651
+0.0721102
+0.0723291
+0.0726135
+0.0729626
+0.0733754
+0.073851
+0.0866423
+0.0850642
+0.0835137
+0.0819924
+0.080502
+0.0790443
+0.0776209
+0.076234
+0.0748855
+0.0735775
+0.0723122
+0.0710919
+0.069919
+0.0687939
+0.0677204
+0.0663972
+0.06485
+0.0633403
+0.0618715
+0.0604463
+0.0590681
+0.0577401
+0.0564658
+0.0552491
+0.0540937
+0.0530038
+0.0519833
+0.0510214
+0.0501337
+0.0493274
+0.0486066
+0.047975
+0.0474362
+0.0469936
+0.0466497
+0.0464067
+0.0462664
+0.0462295
+0.0462841
+0.0464343
+0.046687
+0.0470404
+0.0474923
+0.04804
+0.0486802
+0.0494093
+0.0502235
+0.0511186
+0.0520906
+0.0524868
+0.0514336
+0.0504536
+0.0495511
+0.0487305
+0.047992
+0.0473342
+0.0467699
+0.0463025
+0.0459349
+0.0456695
+0.0454932
+0.0454166
+0.0454455
+0.0455799
+0.0458187
+0.0461604
+0.0466026
+0.0470912
+0.0475289
+0.0479484
+0.0483874
+0.0489174
+0.0495231
+0.0502171
+0.0509959
+0.0518384
+0.0527578
+0.0537508
+0.0548134
+0.0559416
+0.0571312
+0.0583774
+0.0594062
+0.0601654
+0.0609801
+0.0618616
+0.0628072
+0.063814
+0.0648792
+0.066
+0.0671735
+0.068397
+0.069668
+0.0709838
+0.0723403
+0.0728431
+0.0731232
+0.0734572
+0.0738547
+0.0743147
+0.0879329
+0.0863783
+0.0848519
+0.083355
+0.0818894
+0.0804568
+0.0790589
+0.0776976
+0.076375
+0.0750929
+0.0738536
+0.0726592
+0.071512
+0.0704089
+0.0692009
+0.0676465
+0.0661282
+0.0646484
+0.06321
+0.0618157
+0.0604686
+0.0591721
+0.0579293
+0.056744
+0.0556197
+0.0545602
+0.0535615
+0.0526255
+0.0517653
+0.0509848
+0.0502877
+0.0496775
+0.0491574
+0.0487304
+0.0483988
+0.0481647
+0.0480295
+0.0479939
+0.0480471
+0.0481918
+0.0484353
+0.048776
+0.049212
+0.0497408
+0.0503594
+0.0510645
+0.0518527
+0.0527202
+0.0536631
+0.0532307
+0.0521925
+0.051227
+0.0503384
+0.0495308
+0.0488044
+0.0481578
+0.0476032
+0.0471441
+0.0467831
+0.0465225
+0.0463494
+0.0462742
+0.0463027
+0.0464345
+0.046669
+0.0470045
+0.0474388
+0.0479511
+0.0485559
+0.048985
+0.0494192
+0.0499414
+0.0505419
+0.0512233
+0.0519881
+0.0528204
+0.053723
+0.0546984
+0.055743
+0.0565468
+0.0570938
+0.0577188
+0.0584192
+0.0591911
+0.0600189
+0.0609144
+0.0618745
+0.0628962
+0.0639767
+0.065113
+0.0663022
+0.0675415
+0.0688283
+0.0701599
+0.071532
+0.0729412
+0.0735328
+0.073865
+0.0742603
+0.0747178
+0.0892555
+0.0877244
+0.0862218
+0.0847491
+0.0833081
+0.0819002
+0.0805274
+0.0791914
+0.0778941
+0.0766375
+0.0754235
+0.0742544
+0.0731277
+0.0720284
+0.0704683
+0.0689425
+0.0674533
+0.0660033
+0.064595
+0.0632313
+0.061915
+0.0606494
+0.0594376
+0.0582829
+0.0571889
+0.0561576
+0.0551786
+0.0542705
+0.0534368
+0.0526811
+0.0520068
+0.051417
+0.0509147
+0.0505025
+0.0501826
+0.0499569
+0.0498265
+0.0497923
+0.0498439
+0.0499835
+0.0502183
+0.050547
+0.0509679
+0.0514786
+0.0520765
+0.0527587
+0.0535219
+0.0543628
+0.0551433
+0.0540531
+0.0530311
+0.0520811
+0.0512073
+0.0504137
+0.0496981
+0.0490632
+0.048519
+0.0480686
+0.0477146
+0.0474592
+0.0472917
+0.047218
+0.0472459
+0.0473751
+0.047605
+0.0479339
+0.0483598
+0.0488625
+0.0494561
+0.0500934
+0.050525
+0.0510358
+0.0516236
+0.0522909
+0.0530403
+0.0538685
+0.054424
+0.0547296
+0.0551207
+0.0555954
+0.0561516
+0.056787
+0.0574959
+0.0582709
+0.059117
+0.060031
+0.0610062
+0.0620423
+0.0631373
+0.0642885
+0.0654927
+0.066747
+0.0680488
+0.0693954
+0.0707823
+0.0722061
+0.0736676
+0.0743351
+0.0747279
+0.0751826
+0.09061
+0.0891021
+0.0876231
+0.0861745
+0.0847576
+0.0833743
+0.0820261
+0.0807149
+0.0794425
+0.0782108
+0.0770216
+0.0758756
+0.0747683
+0.0733124
+0.0717802
+0.0702829
+0.0688227
+0.0674022
+0.0660237
+0.0646901
+0.0634042
+0.0621688
+0.0609872
+0.0598624
+0.0587978
+0.0577851
+0.0568343
+0.055953
+0.0551448
+0.0544128
+0.0537601
+0.0531898
+0.0527044
+0.0523063
+0.0519975
+0.0517797
+0.0516539
+0.0516209
+0.0516712
+0.0518058
+0.0520324
+0.0523498
+0.0527562
+0.0532498
+0.0538281
+0.0544884
+0.0552277
+0.0560429
+0.0560234
+0.0549507
+0.0539456
+0.0530121
+0.0521539
+0.0513719
+0.0506634
+0.0500407
+0.0495073
+0.0490659
+0.0487192
+0.0484691
+0.048315
+0.0482429
+0.0482702
+0.0483967
+0.0486217
+0.0489438
+0.0493595
+0.0498511
+0.0504331
+0.0511024
+0.051534
+0.0518025
+0.0521618
+0.0526067
+0.0531322
+0.0533021
+0.0535245
+0.0538353
+0.0542328
+0.0547152
+0.0552803
+0.0559169
+0.0566288
+0.0574156
+0.0582741
+0.0592013
+0.0601939
+0.0612489
+0.0623627
+0.0635288
+0.0647471
+0.0660157
+0.0673316
+0.0686922
+0.070093
+0.0715306
+0.0730056
+0.0745158
+0.0752565
+0.0757079
+0.0919967
+0.0905119
+0.0890564
+0.0876314
+0.0862385
+0.0848793
+0.0835554
+0.0822686
+0.0810206
+0.0798132
+0.0786483
+0.07752
+0.0761763
+0.0746386
+0.0731342
+0.0716652
+0.0702338
+0.0688423
+0.0674933
+0.0661893
+0.0649331
+0.0637274
+0.0625752
+0.0614795
+0.0604381
+0.0594489
+0.0585251
+0.0576697
+0.0568858
+0.0561765
+0.0555446
+0.0549927
+0.0545234
+0.0541387
+0.0538404
+0.0536301
+0.0535087
+0.0534768
+0.0535258
+0.0536558
+0.0538746
+0.0541811
+0.054574
+0.0550512
+0.0556108
+0.0562501
+0.0569666
+0.0577573
+0.0569742
+0.0559197
+0.0549323
+0.0540159
+0.0531737
+0.052398
+0.0517035
+0.0510935
+0.0505712
+0.0501392
+0.0497999
+0.0495553
+0.0494066
+0.0493438
+0.0493705
+0.0494942
+0.0497142
+0.0500293
+0.0504324
+0.050424
+0.0504137
+0.0504985
+0.0506779
+0.050951
+0.0513162
+0.0517716
+0.0523149
+0.0524659
+0.0526919
+0.0530075
+0.0534112
+0.053901
+0.0544685
+0.0551121
+0.0558343
+0.0566321
+0.0575023
+0.0584418
+0.0594471
+0.0605151
+0.0616409
+0.0628195
+0.0640513
+0.0653334
+0.0666628
+0.0680368
+0.0694527
+0.070908
+0.0724004
+0.0739263
+0.0754817
+0.0762755
+0.0934142
+0.0919523
+0.0905199
+0.0891183
+0.087749
+0.0864136
+0.0851136
+0.0838507
+0.0826266
+0.081443
+0.0802969
+0.0790579
+0.0775154
+0.0760048
+0.074528
+0.073087
+0.071684
+0.0703212
+0.0690011
+0.0677262
+0.066499
+0.0653222
+0.0641986
+0.0631311
+0.062108
+0.0611459
+0.060248
+0.0594175
+0.058657
+0.0579693
+0.0573572
+0.0568229
+0.0563688
+0.0559968
+0.0557085
+0.0555052
+0.0553879
+0.0553571
+0.0554049
+0.0555305
+0.0557419
+0.0560383
+0.0564182
+0.05688
+0.0574217
+0.0580411
+0.0587357
+0.0590863
+0.0579921
+0.0569565
+0.0559874
+0.0550885
+0.0542542
+0.0534941
+0.052814
+0.0522171
+0.0517061
+0.0512836
+0.050952
+0.0507129
+0.0505676
+0.050501
+0.0505271
+0.0505762
+0.0502033
+0.0499239
+0.0497394
+0.0496456
+0.0496351
+0.0497212
+0.0499034
+0.0501807
+0.0505515
+0.0510137
+0.0515636
+0.0517008
+0.0519301
+0.0522503
+0.0526598
+0.0531565
+0.0537314
+0.0543838
+0.0551155
+0.0559236
+0.0568046
+0.0577554
+0.0587725
+0.0598476
+0.0609821
+0.0621732
+0.0634175
+0.0647121
+0.066054
+0.0674404
+0.0688686
+0.070336
+0.0718403
+0.0733791
+0.0749504
+0.0765521
+0.0948611
+0.0934219
+0.0920123
+0.0906338
+0.0892878
+0.0879757
+0.0866991
+0.0854597
+0.0842589
+0.0830965
+0.0819553
+0.0804087
+0.0788927
+0.0774089
+0.0759594
+0.0745461
+0.0731711
+0.0718365
+0.0705448
+0.0692982
+0.0680994
+0.0669507
+0.0658549
+0.0648062
+0.0638095
+0.0628734
+0.0620006
+0.0611938
+0.0604556
+0.0597887
+0.0591954
+0.0586779
+0.0582382
+0.0578782
+0.0575993
+0.0574028
+0.0572893
+0.0572596
+0.0573062
+0.0574276
+0.0576321
+0.0579187
+0.0582864
+0.0587335
+0.0592583
+0.0598587
+0.0605325
+0.0601483
+0.0590738
+0.0580575
+0.0571071
+0.05622
+0.0554003
+0.0546561
+0.0539907
+0.0534068
+0.0529074
+0.0524946
+0.0521706
+0.0519372
+0.0515749
+0.0509274
+0.0503669
+0.0498964
+0.0495184
+0.0492351
+0.049048
+0.0489528
+0.0489422
+0.0490295
+0.0492143
+0.0494955
+0.0498713
+0.0503398
+0.0508788
+0.0510178
+0.0512501
+0.0515746
+0.0519894
+0.0524924
+0.0530746
+0.0537349
+0.0544754
+0.0552928
+0.0561837
+0.0571417
+0.0581641
+0.0592499
+0.0603956
+0.061598
+0.0628537
+0.0641597
+0.065513
+0.0669106
+0.0683498
+0.0698281
+0.0713431
+0.0728924
+0.074474
+0.0760848
+0.0963361
+0.0949192
+0.0935323
+0.0921765
+0.0908533
+0.0895642
+0.0883106
+0.087094
+0.0859161
+0.0847706
+0.0833167
+0.0817959
+0.080306
+0.0788489
+0.0774264
+0.0760403
+0.0746928
+0.0733859
+0.0721219
+0.0709031
+0.0697319
+0.0686106
+0.0675386
+0.0665108
+0.06554
+0.064629
+0.0637802
+0.0629962
+0.0622794
+0.0616322
+0.0610568
+0.0605552
+0.0601293
+0.0597807
+0.0595107
+0.0593205
+0.0592107
+0.0591819
+0.0592275
+0.0593449
+0.0595428
+0.0598203
+0.0601764
+0.0606095
+0.0611182
+0.0617005
+0.0623544
+0.0612703
+0.0602158
+0.0592191
+0.0582842
+0.0574104
+0.0566079
+0.0558799
+0.0552292
+0.0546586
+0.0541706
+0.05346
+0.0525624
+0.051742
+0.0510026
+0.0503477
+0.0497807
+0.0493046
+0.048922
+0.0486352
+0.0484459
+0.0483495
+0.0483388
+0.0484272
+0.0486142
+0.0488988
+0.0492793
+0.0497534
+0.0502802
+0.0504208
+0.0506559
+0.0509841
+0.0514037
+0.0519124
+0.052501
+0.0531684
+0.0539167
+0.0547399
+0.055634
+0.0565989
+0.0576309
+0.0587265
+0.0598823
+0.0610948
+0.0623607
+0.0636768
+0.06504
+0.0664476
+0.0678966
+0.0693846
+0.0709082
+0.0724652
+0.0740543
+0.0756735
+0.0978379
+0.0964431
+0.0950784
+0.0937449
+0.0924442
+0.0911776
+0.0899465
+0.0887524
+0.0875916
+0.086238
+0.0847129
+0.0832176
+0.0817537
+0.0803228
+0.0789268
+0.0775676
+0.0762471
+0.0749673
+0.0737305
+0.0725387
+0.0713942
+0.0702995
+0.0692453
+0.0682431
+0.0672974
+0.0664104
+0.0655847
+0.0648225
+0.0641262
+0.0634978
+0.0629395
+0.062453
+0.0620401
+0.0617023
+0.0614408
+0.0612565
+0.0611502
+0.0611224
+0.0611668
+0.0612806
+0.0614722
+0.0617411
+0.0620861
+0.062506
+0.0629994
+0.0635645
+0.0635414
+0.062449
+0.0614148
+0.0604368
+0.059514
+0.0586585
+0.0578734
+0.0571614
+0.0561203
+0.0550213
+0.0539781
+0.0529988
+0.0520932
+0.0512653
+0.0505189
+0.0498577
+0.049285
+0.0488041
+0.0484176
+0.0481278
+0.0479364
+0.047839
+0.0478281
+0.0479175
+0.0481065
+0.0483941
+0.0487785
+0.0492574
+0.0497708
+0.0499129
+0.0501504
+0.0504819
+0.0509056
+0.0514193
+0.0520111
+0.0526787
+0.0534279
+0.0542553
+0.0551573
+0.0561303
+0.0571708
+0.0582751
+0.0594396
+0.060661
+0.0619357
+0.0632607
+0.0646327
+0.066049
+0.0675066
+0.069003
+0.0705348
+0.0720999
+0.0736969
+0.0753237
+0.0993653
+0.0979923
+0.0966494
+0.095338
+0.0940593
+0.0928147
+0.0916056
+0.0904307
+0.0891712
+0.0876424
+0.0861422
+0.0846722
+0.0832338
+0.0818289
+0.080459
+0.0791261
+0.077832
+0.0765787
+0.0753683
+0.0742029
+0.0730845
+0.0720092
+0.0709785
+0.0700011
+0.0690795
+0.0682157
+0.0674121
+0.0666708
+0.065994
+0.0653836
+0.0648415
+0.0643694
+0.0639689
+0.0636413
+0.0633877
+0.0632092
+0.0631062
+0.0630792
+0.0631226
+0.0632329
+0.0634186
+0.0636793
+0.0640138
+0.0644212
+0.0649
+0.0654487
+0.0645464
+0.0632812
+0.0620675
+0.0609085
+0.0598072
+0.058767
+0.0577912
+0.0568831
+0.0557672
+0.0546611
+0.0536109
+0.0526247
+0.0517126
+0.0508785
+0.0501264
+0.0494599
+0.0488826
+0.0483976
+0.0480079
+0.0477156
+0.0475226
+0.0474243
+0.0474133
+0.0475035
+0.0476942
+0.0479842
+0.0483718
+0.0488547
+0.0493484
+0.0494917
+0.0497312
+0.0500655
+0.0504927
+0.0510062
+0.0515939
+0.0522669
+0.0530219
+0.0538555
+0.0547641
+0.055744
+0.0567916
+0.0579031
+0.059075
+0.0603037
+0.0615858
+0.0629182
+0.0642975
+0.065721
+0.0671857
+0.0686891
+0.0702277
+0.0717995
+0.0734031
+0.0750363
+0.100917
+0.0995655
+0.0982442
+0.0969543
+0.0956972
+0.0944742
+0.0932862
+0.0921151
+0.0905831
+0.0890786
+0.087603
+0.0861579
+0.0847448
+0.0833653
+0.0820211
+0.0807139
+0.0794457
+0.0782183
+0.0770337
+0.0758938
+0.0747994
+0.0737426
+0.0727364
+0.071783
+0.0708845
+0.070043
+0.0692606
+0.0685393
+0.0678811
+0.0672878
+0.0667612
+0.0663027
+0.065914
+0.0655961
+0.0653502
+0.065177
+0.0650771
+0.0650509
+0.0650934
+0.0652003
+0.0653805
+0.0656333
+0.065958
+0.0663534
+0.0668184
+0.0656474
+0.0643292
+0.0630596
+0.0618416
+0.0606782
+0.0595727
+0.0585284
+0.0575485
+0.0566364
+0.0554984
+0.0543868
+0.0533312
+0.0523398
+0.0514226
+0.0505838
+0.0498272
+0.0491566
+0.0485757
+0.0480877
+0.0476953
+0.0474011
+0.0472068
+0.0471079
+0.0470969
+0.0471876
+0.0473796
+0.0476715
+0.0480617
+0.0485477
+0.0490065
+0.0491509
+0.049392
+0.0497286
+0.0501586
+0.0506756
+0.0512671
+0.0519443
+0.0527039
+0.0535425
+0.0544563
+0.0554417
+0.0564948
+0.0576121
+0.0587897
+0.0600243
+0.0613123
+0.0626504
+0.0640355
+0.0654647
+0.066935
+0.0684439
+0.069988
+0.071565
+0.0731737
+0.0748119
+0.102492
+0.101162
+0.0998615
+0.0985928
+0.0973569
+0.096155
+0.094983
+0.0935339
+0.0920255
+0.090545
+0.0890937
+0.0876732
+0.0862848
+0.0849304
+0.0836113
+0.0823295
+0.0810865
+0.0798843
+0.0787248
+0.0776097
+0.0765322
+0.0754997
+0.0745172
+0.0735869
+0.0727107
+0.0718906
+0.0711285
+0.0704264
+0.069786
+0.069209
+0.0686971
+0.0682517
+0.067874
+0.0675654
+0.0673267
+0.0671586
+0.0670616
+0.0670362
+0.0670778
+0.0671816
+0.0673565
+0.0676019
+0.0679172
+0.0682792
+0.0668712
+0.0655062
+0.064186
+0.0629136
+0.0616927
+0.0605264
+0.0594181
+0.058371
+0.0573884
+0.0564738
+0.0553151
+0.0541998
+0.0531405
+0.0521454
+0.0512247
+0.0503826
+0.0496229
+0.0489496
+0.0483662
+0.047876
+0.0474819
+0.0471864
+0.0469912
+0.0468868
+0.0468757
+0.0469669
+0.0471598
+0.0474531
+0.047845
+0.0483332
+0.0487608
+0.0489059
+0.0491482
+0.0494864
+0.0499186
+0.050438
+0.0510323
+0.0517126
+0.0524755
+0.0533177
+0.0542353
+0.0552246
+0.0562818
+0.0574032
+0.0585851
+0.0598239
+0.0611161
+0.0624584
+0.0638477
+0.065281
+0.0667554
+0.0682682
+0.0698161
+0.071397
+0.0730094
+0.0746512
+0.10409
+0.10278
+0.1015
+0.100252
+0.0990372
+0.0978529
+0.096494
+0.0949821
+0.0934971
+0.0920402
+0.0906129
+0.0892165
+0.0878526
+0.0865226
+0.0852282
+0.0839711
+0.0827528
+0.0815752
+0.08044
+0.0793448
+0.078288
+0.077279
+0.0763194
+0.0754113
+0.0745566
+0.073757
+0.0730144
+0.0723306
+0.0717071
+0.0711458
+0.0706479
+0.0702148
+0.0698478
+0.069548
+0.069316
+0.0691528
+0.0690587
+0.069034
+0.0690747
+0.0691755
+0.0693453
+0.0695838
+0.0696508
+0.0682007
+0.0667911
+0.0654244
+0.0641035
+0.0628312
+0.0616105
+0.0604446
+0.0593349
+0.0582861
+0.0573018
+0.0563855
+0.0552182
+0.0540949
+0.0530273
+0.0520301
+0.0511074
+0.0502633
+0.0495018
+0.0488268
+0.0482419
+0.0477504
+0.0473553
+0.047059
+0.0468633
+0.0467526
+0.0467415
+0.0468329
+0.0470263
+0.0473205
+0.0477135
+0.048203
+0.0486127
+0.0487582
+0.0490013
+0.0493405
+0.0497739
+0.0502948
+0.0508908
+0.0515729
+0.0523379
+0.0531823
+0.0541022
+0.0550938
+0.0561535
+0.0572774
+0.0584619
+0.0597032
+0.060998
+0.0623428
+0.0637347
+0.0651704
+0.0666472
+0.0681625
+0.0697128
+0.0712959
+0.0729105
+0.0745546
+0.105708
+0.104419
+0.10316
+0.101932
+0.100736
+0.0994625
+0.0979474
+0.0964583
+0.0949963
+0.0935628
+0.092159
+0.0907865
+0.0894465
+0.0881406
+0.0868703
+0.0856373
+0.084443
+0.0832893
+0.0821778
+0.0810989
+0.0800653
+0.0790789
+0.0781415
+0.0772548
+0.0764206
+0.0756408
+0.0749168
+0.0742505
+0.0736434
+0.0730969
+0.0726124
+0.0721911
+0.0718342
+0.0715427
+0.0713172
+0.0711586
+0.0710671
+0.0710431
+0.071083
+0.071181
+0.071346
+0.0711309
+0.0696428
+0.0681926
+0.0667827
+0.0654159
+0.0640948
+0.0628223
+0.0616015
+0.0604354
+0.0593256
+0.0582765
+0.0572921
+0.0563756
+0.055202
+0.0540675
+0.0529993
+0.0520016
+0.0510784
+0.0502337
+0.0494718
+0.0487964
+0.0482111
+0.0477193
+0.047324
+0.0470274
+0.0468316
+0.0467209
+0.0467097
+0.0468012
+0.0469948
+0.0472891
+0.0476824
+0.0481722
+0.0485631
+0.0487087
+0.048952
+0.0492916
+0.0497254
+0.0502468
+0.0508433
+0.0515261
+0.0522918
+0.0531369
+0.0540575
+0.05505
+0.0561106
+0.0572353
+0.0584206
+0.0596628
+0.0609584
+0.0623041
+0.0636968
+0.0651334
+0.066611
+0.0681271
+0.0696781
+0.0712621
+0.0728774
+0.0745222
+0.107348
+0.106078
+0.104839
+0.103631
+0.102439
+0.100921
+0.0994278
+0.0979612
+0.096522
+0.0951115
+0.0937309
+0.0923817
+0.0910652
+0.0897828
+0.0885361
+0.0873266
+0.0861558
+0.0850253
+0.08393
+0.0828738
+0.0818626
+0.0808981
+0.079982
+0.0791159
+0.0783016
+0.0775407
+0.0768346
+0.0761851
+0.0755935
+0.0750612
+0.0745894
+0.0741794
+0.0738321
+0.0735485
+0.0733292
+0.0731749
+0.073086
+0.0730627
+0.0731018
+0.073197
+0.072713
+0.0711905
+0.0697037
+0.0682548
+0.0668462
+0.0654807
+0.0641609
+0.0628898
+0.0616703
+0.0605055
+0.059397
+0.0583493
+0.0573661
+0.0564484
+0.055262
+0.0541288
+0.0530619
+0.0520653
+0.0511432
+0.0502997
+0.0495388
+0.0488643
+0.0482798
+0.0477888
+0.047394
+0.0470979
+0.0469023
+0.0467918
+0.0467807
+0.046872
+0.0470653
+0.0473592
+0.0477519
+0.048241
+0.0486122
+0.0487577
+0.0490007
+0.04934
+0.0497734
+0.0502943
+0.0508902
+0.0515724
+0.0523374
+0.0531818
+0.0541017
+0.0550934
+0.0561531
+0.057277
+0.0584614
+0.0597028
+0.0609975
+0.0623424
+0.0637342
+0.06517
+0.0666468
+0.0681621
+0.0697124
+0.0712956
+0.0729102
+0.0745542
+0.109006
+0.107756
+0.106536
+0.105344
+0.103901
+0.102404
+0.100933
+0.099489
+0.0980722
+0.0966843
+0.0953266
+0.0940003
+0.0927068
+0.0914474
+0.0902237
+0.0890371
+0.0878891
+0.0867793
+0.0857022
+0.0846681
+0.0836786
+0.0827353
+0.0818397
+0.0809936
+0.0801983
+0.0794555
+0.0787667
+0.0781332
+0.0775565
+0.0770377
+0.0765781
+0.0761788
+0.0758407
+0.0755646
+0.0753512
+0.075201
+0.0751145
+0.0750918
+0.0751302
+0.0743905
+0.0728373
+0.0713174
+0.0698333
+0.0683871
+0.0669813
+0.0656186
+0.0643017
+0.0630334
+0.0618167
+0.0606548
+0.059549
+0.058504
+0.0575234
+0.056592
+0.0554086
+0.0542785
+0.0532146
+0.0522209
+0.0513016
+0.0504608
+0.0497023
+0.0490301
+0.0484476
+0.0479583
+0.0475649
+0.0472698
+0.047075
+0.0469649
+0.0469538
+0.0470448
+0.0472374
+0.0475302
+0.0479215
+0.0484089
+0.0487445
+0.0488895
+0.049132
+0.0494703
+0.0499026
+0.0504265
+0.0510312
+0.0517115
+0.0524746
+0.0533167
+0.0542343
+0.0552236
+0.0562809
+0.0574023
+0.0585842
+0.059823
+0.0611152
+0.0624576
+0.0638469
+0.0652802
+0.0667546
+0.0682675
+0.0698154
+0.0713963
+0.0730087
+0.0746505
+0.110683
+0.109452
+0.10825
+0.106885
+0.105385
+0.10391
+0.102461
+0.101038
+0.0996435
+0.0982777
+0.0969423
+0.0956384
+0.0943673
+0.0931305
+0.0919292
+0.0907649
+0.089639
+0.0885487
+0.0874934
+0.0864807
+0.0855122
+0.0845893
+0.0837136
+0.0828866
+0.0821097
+0.0813843
+0.0807119
+0.0800939
+0.0795313
+0.0790255
+0.0785776
+0.0781885
+0.0778591
+0.0775902
+0.0773824
+0.0772362
+0.0771519
+0.0771298
+0.0761566
+0.0745764
+0.073027
+0.0715112
+0.0700312
+0.0685892
+0.0671877
+0.0658292
+0.0645166
+0.0632526
+0.0620402
+0.0608825
+0.059781
+0.0587401
+0.0577636
+0.0568197
+0.0556412
+0.0545159
+0.0534567
+0.0524676
+0.0515527
+0.050716
+0.0499614
+0.0492927
+0.0487134
+0.0482268
+0.0478356
+0.0475422
+0.0473485
+0.0472391
+0.047228
+0.0473185
+0.04751
+0.0478011
+0.0481902
+0.0486749
+0.0489708
+0.0491152
+0.0493565
+0.0496933
+0.0501237
+0.0506452
+0.0512482
+0.0519257
+0.0526856
+0.0535244
+0.0544385
+0.0554242
+0.0564777
+0.0575953
+0.0587733
+0.0600082
+0.0612965
+0.062635
+0.0640205
+0.0654499
+0.0669206
+0.0684298
+0.0699751
+0.071554
+0.0731645
+0.0748045
+0.112377
+0.111165
+0.109875
+0.108372
+0.106894
+0.10544
+0.104012
+0.102611
+0.101238
+0.0998937
+0.0985802
+0.0972982
+0.0960491
+0.0948342
+0.0936548
+0.0925122
+0.0914078
+0.0903366
+0.0893024
+0.0883105
+0.0873622
+0.0864591
+0.0856025
+0.0847939
+0.0840347
+0.0833261
+0.0826695
+0.0820661
+0.0815172
+0.0810238
+0.080587
+0.0802076
+0.0798866
+0.0796245
+0.079422
+0.0792796
+0.0791975
+0.0779961
+0.0764009
+0.0748259
+0.0732818
+0.0717714
+0.0702968
+0.0688604
+0.0674645
+0.0661117
+0.0648048
+0.0635466
+0.0623399
+0.0611878
+0.0600914
+0.059056
+0.0580848
+0.0571306
+0.0559586
+0.0548398
+0.053787
+0.0528041
+0.0518952
+0.0510641
+0.0503147
+0.0496508
+0.0490757
+0.0485927
+0.0482045
+0.0479134
+0.0477212
+0.0476125
+0.0476016
+0.0476914
+0.0478813
+0.0481703
+0.0485564
+0.0490375
+0.0492935
+0.0494369
+0.0496767
+0.0500113
+0.050439
+0.0509573
+0.0515516
+0.0522252
+0.0529808
+0.053815
+0.0547243
+0.0557049
+0.0567532
+0.0578654
+0.059038
+0.0602675
+0.0615504
+0.0628835
+0.0642636
+0.0656878
+0.0671532
+0.0686573
+0.0701976
+0.0717716
+0.0733773
+0.0750126
+0.114089
+0.112871
+0.111366
+0.109884
+0.108426
+0.106993
+0.105586
+0.104206
+0.102854
+0.101531
+0.100239
+0.0989787
+0.0977511
+0.0965576
+0.0953995
+0.094278
+0.0931946
+0.0921418
+0.0911282
+0.0901563
+0.0892277
+0.0883437
+0.0875055
+0.0867147
+0.0859724
+0.0852799
+0.0846385
+0.0840492
+0.0835134
+0.0830318
+0.0826056
+0.0822356
+0.0819224
+0.0816669
+0.0814695
+0.0813306
+0.079913
+0.078296
+0.076707
+0.0751385
+0.073601
+0.0720972
+0.0706295
+0.0691999
+0.067811
+0.0664653
+0.0651648
+0.0639115
+0.0627098
+0.0615626
+0.060473
+0.0594442
+0.0584795
+0.0575233
+0.0563595
+0.0552488
+0.0542039
+0.0532288
+0.0523272
+0.0515031
+0.0507602
+0.0501021
+0.0495323
+0.0490538
+0.0486692
+0.0483809
+0.0481906
+0.048083
+0.0480722
+0.0481611
+0.0483492
+0.0486354
+0.0490178
+0.0494944
+0.0497107
+0.049853
+0.0500907
+0.0504226
+0.0508468
+0.0513611
+0.0519457
+0.0526142
+0.0533643
+0.0541926
+0.0550957
+0.0560698
+0.0571114
+0.0582168
+0.0593825
+0.0606049
+0.0618808
+0.0632069
+0.0645801
+0.0659975
+0.0674562
+0.0689537
+0.0704875
+0.0720552
+0.0736547
+0.075284
+0.115529
+0.114364
+0.112879
+0.111417
+0.10998
+0.108567
+0.107181
+0.105822
+0.104491
+0.103189
+0.101918
+0.100679
+0.0994722
+0.0982996
+0.0971622
+0.0960613
+0.0949975
+0.0939635
+0.0929697
+0.0920173
+0.0911077
+0.090242
+0.0894217
+0.0886479
+0.0879219
+0.0872449
+0.0866181
+0.0860424
+0.085519
+0.0850488
+0.0846328
+0.0842716
+0.0839661
+0.0837168
+0.0835242
+0.0819023
+0.0802656
+0.0786557
+0.0770743
+0.0755133
+0.0739836
+0.0724878
+0.0710281
+0.0696055
+0.0682229
+0.0668835
+0.06559
+0.0643451
+0.0631516
+0.0620126
+0.060931
+0.0599101
+0.0589529
+0.0579961
+0.056842
+0.0557409
+0.0547055
+0.0537394
+0.0528465
+0.0520306
+0.0512954
+0.0506443
+0.0500806
+0.0496074
+0.0492272
+0.0489422
+0.048754
+0.0486477
+0.048637
+0.0487249
+0.0489108
+0.0491937
+0.0495719
+0.0500432
+0.0502201
+0.0503609
+0.0505963
+0.0509249
+0.051345
+0.0518502
+0.0524284
+0.0530908
+0.0538343
+0.0546555
+0.055551
+0.0565173
+0.0575508
+0.0586479
+0.0598052
+0.0610192
+0.0622866
+0.0636043
+0.0649691
+0.0663781
+0.0678287
+0.0693181
+0.070844
+0.072404
+0.073996
+0.0756179
+0.116807
+0.11588
+0.114415
+0.112973
+0.111555
+0.110163
+0.108797
+0.107458
+0.106148
+0.104867
+0.103616
+0.102398
+0.101211
+0.100059
+0.098942
+0.0978612
+0.096815
+0.0958006
+0.0948261
+0.0938925
+0.0930012
+0.0921534
+0.0913502
+0.0905929
+0.0898826
+0.0892205
+0.0886076
+0.088045
+0.0875335
+0.0870743
+0.0866679
+0.0863153
+0.086017
+0.0856371
+0.0839588
+0.0823047
+0.080676
+0.0790746
+0.0775017
+0.0759496
+0.0744271
+0.0729386
+0.0714862
+0.0700723
+0.0686991
+0.0673692
+0.0660852
+0.0648497
+0.0636657
+0.0625361
+0.0614637
+0.0604518
+0.0595034
+0.0585472
+0.0574041
+0.0563141
+0.0552893
+0.0543336
+0.0534507
+0.0526442
+0.0519176
+0.0512744
+0.0507177
+0.0502505
+0.0498752
+0.0495939
+0.0494082
+0.0493034
+0.0492928
+0.0493795
+0.049563
+0.0498421
+0.0502154
+0.0506808
+0.0508189
+0.0509581
+0.0511907
+0.0515156
+0.0519308
+0.0524254
+0.0529974
+0.0536528
+0.0543886
+0.0552015
+0.0560883
+0.0570455
+0.0580696
+0.0591571
+0.0603046
+0.0615088
+0.0627663
+0.0640741
+0.0654291
+0.0668284
+0.0682694
+0.0697494
+0.0712661
+0.072817
+0.0744002
+0.0760135
+0.117944
+0.117418
+0.115971
+0.114549
+0.113151
+0.111779
+0.110433
+0.109114
+0.107824
+0.106563
+0.105333
+0.104134
+0.102968
+0.101836
+0.100738
+0.0996767
+0.0986476
+0.0976523
+0.0966965
+0.0957811
+0.0949076
+0.0940769
+0.0932903
+0.0925489
+0.0918537
+0.0912059
+0.0906064
+0.0900563
+0.0895564
+0.0891075
+0.0887105
+0.088366
+0.0877702
+0.0860778
+0.0844082
+0.0827629
+0.0811431
+0.0795507
+0.0779852
+0.0764404
+0.0749279
+0.0734495
+0.0720075
+0.070604
+0.0692414
+0.0679221
+0.0666487
+0.0654239
+0.0642505
+0.0631313
+0.0620692
+0.0610674
+0.0601286
+0.0591743
+0.0580435
+0.0569657
+0.0559529
+0.0550087
+0.0541368
+0.0533407
+0.0526237
+0.0519893
+0.0514403
+0.0509797
+0.0506098
+0.0503326
+0.0501497
+0.0500464
+0.050036
+0.0501214
+0.0503022
+0.0505773
+0.0509452
+0.0514039
+0.0515041
+0.0516414
+0.0518709
+0.0521915
+0.0526015
+0.0530849
+0.0536499
+0.0542974
+0.0550245
+0.0558282
+0.0567052
+0.0576521
+0.0586656
+0.0597423
+0.0608788
+0.0620718
+0.0633182
+0.0646148
+0.0659587
+0.067347
+0.0687771
+0.0702465
+0.0717526
+0.0732933
+0.0748663
+0.0764698
+0.11911
+0.118908
+0.117548
+0.116145
+0.114767
+0.113414
+0.112088
+0.110789
+0.109518
+0.108277
+0.107066
+0.105887
+0.104741
+0.103628
+0.102549
+0.101507
+0.100495
+0.0995178
+0.09858
+0.0976823
+0.0968259
+0.0960119
+0.0952412
+0.0945151
+0.0938345
+0.0932005
+0.0926139
+0.0920758
+0.0915869
+0.091148
+0.0907599
+0.0899579
+0.0882527
+0.0865694
+0.0849092
+0.0832736
+0.0816639
+0.0800819
+0.0785244
+0.0769905
+0.075489
+0.0740218
+0.0725912
+0.0711992
+0.0698482
+0.0685406
+0.0672789
+0.0660658
+0.0649039
+0.0637962
+0.0627454
+0.0617545
+0.0608264
+0.0598749
+0.0587577
+0.0576932
+0.0566934
+0.0557618
+0.0549018
+0.0541169
+0.0534104
+0.0527854
+0.0522449
+0.0517914
+0.0514273
+0.0511546
+0.0509746
+0.0508729
+0.0508627
+0.0509467
+0.0511246
+0.0513953
+0.0517574
+0.0522089
+0.0522654
+0.0524007
+0.052627
+0.052943
+0.0533471
+0.0538255
+0.0543828
+0.0550217
+0.0557394
+0.0565329
+0.0573991
+0.0583348
+0.0593366
+0.0604013
+0.0615257
+0.0627064
+0.0639404
+0.0652246
+0.0665562
+0.0679323
+0.0693504
+0.0708078
+0.0723022
+0.0738314
+0.0753933
+0.0769858
+0.120305
+0.120105
+0.119145
+0.117761
+0.116401
+0.115068
+0.113761
+0.112481
+0.11123
+0.110008
+0.108817
+0.107657
+0.106529
+0.105435
+0.104375
+0.103351
+0.102355
+0.101396
+0.100476
+0.0995955
+0.0987556
+0.0979576
+0.0972024
+0.0964911
+0.0958245
+0.0952037
+0.0946296
+0.0941029
+0.0936246
+0.0931954
+0.0921971
+0.090481
+0.0887859
+0.0871129
+0.0854632
+0.0838384
+0.0822398
+0.0806691
+0.0791207
+0.0775985
+0.076109
+0.0746541
+0.0732358
+0.0718563
+0.0705178
+0.0692229
+0.0679739
+0.0667734
+0.0656241
+0.0645287
+0.06349
+0.0625109
+0.0615942
+0.0606467
+0.059544
+0.0584938
+0.0575079
+0.0565897
+0.0557425
+0.0549696
+0.0542742
+0.0536592
+0.0531276
+0.0526817
+0.0523239
+0.0520558
+0.0518789
+0.0517791
+0.051769
+0.0518516
+0.0520263
+0.0522923
+0.0526483
+0.0530544
+0.0530975
+0.0532307
+0.0534534
+0.0537646
+0.0541626
+0.054644
+0.055193
+0.0558226
+0.0565301
+0.0573127
+0.0581673
+0.0590908
+0.0600801
+0.0611318
+0.0622429
+0.0634103
+0.0646309
+0.0659016
+0.0672198
+0.0685826
+0.0699875
+0.0714319
+0.0729136
+0.0744302
+0.0759798
+0.0775602
+0.121528
+0.121329
+0.12076
+0.119394
+0.118054
+0.116739
+0.115451
+0.11419
+0.112958
+0.111755
+0.110583
+0.109441
+0.108332
+0.107257
+0.106215
+0.105207
+0.104229
+0.103287
+0.102384
+0.10152
+0.100696
+0.0999135
+0.0991732
+0.0984761
+0.0978231
+0.097215
+0.0966528
+0.0961373
+0.0956691
+0.0944847
+0.0927593
+0.0910539
+0.0893696
+0.0877077
+0.0860695
+0.0844563
+0.0828696
+0.081311
+0.0797726
+0.0782632
+0.0767866
+0.0753447
+0.0739396
+0.0725735
+0.0712486
+0.0699671
+0.0687317
+0.0675446
+0.0664087
+0.0653265
+0.0643007
+0.0633341
+0.0624295
+0.0614869
+0.0603995
+0.0593644
+0.0583933
+0.0574892
+0.0566554
+0.0558952
+0.0552114
+0.054607
+0.0540847
+0.0536468
+0.0532954
+0.0530323
+0.0528587
+0.0527606
+0.0527507
+0.0528318
+0.0530033
+0.0532645
+0.0536139
+0.0539633
+0.0540056
+0.0541366
+0.0543556
+0.0546617
+0.0550532
+0.0555285
+0.0560771
+0.0566969
+0.0573937
+0.0581646
+0.0590069
+0.0599175
+0.0608933
+0.0619312
+0.0630283
+0.0641813
+0.0653875
+0.0666438
+0.0679476
+0.0692961
+0.0706868
+0.0721173
+0.0735851
+0.0750882
+0.0766244
+0.0781919
+0.122778
+0.122581
+0.122392
+0.121046
+0.119724
+0.118427
+0.117158
+0.115916
+0.114702
+0.113518
+0.112363
+0.11124
+0.110149
+0.109092
+0.108068
+0.107076
+0.106114
+0.10519
+0.104303
+0.103455
+0.102646
+0.101879
+0.101153
+0.10047
+0.0998297
+0.0992339
+0.0986832
+0.0981783
+0.0968175
+0.0950839
+0.0933696
+0.0916755
+0.0900028
+0.0883529
+0.0867268
+0.0851261
+0.0835496
+0.0820002
+0.0804769
+0.0789809
+0.077518
+0.07609
+0.0746989
+0.073347
+0.0720362
+0.0707691
+0.0695478
+0.068375
+0.0672531
+0.0661847
+0.0651724
+0.0642189
+0.0633269
+0.0623927
+0.0613214
+0.0603021
+0.0593463
+0.058457
+0.0576372
+0.0568901
+0.0562184
+0.055625
+0.0551123
+0.0546826
+0.0543379
+0.0540799
+0.0539096
+0.0538135
+0.0538038
+0.0538833
+0.0540515
+0.0543076
+0.0546504
+0.0549446
+0.0549861
+0.0551148
+0.0553299
+0.0556306
+0.0560154
+0.0564826
+0.0570301
+0.0576412
+0.0583267
+0.0590855
+0.0599148
+0.0608118
+0.0617735
+0.0627969
+0.0638791
+0.0650171
+0.066208
+0.0674491
+0.0687376
+0.0700709
+0.0714465
+0.072862
+0.0743152
+0.0758038
+0.0773258
+0.0788793
+0.124053
+0.123859
+0.123703
+0.122714
+0.12141
+0.120132
+0.11888
+0.117657
+0.116461
+0.115295
+0.114158
+0.113053
+0.11198
+0.11094
+0.109933
+0.108956
+0.108011
+0.107103
+0.106232
+0.1054
+0.104606
+0.103853
+0.103141
+0.102471
+0.101844
+0.10126
+0.10072
+0.0991922
+0.0974516
+0.0957295
+0.0940269
+0.0923449
+0.0906846
+0.0890471
+0.0874307
+0.0858396
+0.0842754
+0.0827397
+0.0812302
+0.0797483
+0.0782997
+0.0768863
+0.0755099
+0.0741727
+0.0728768
+0.0716245
+0.0704181
+0.06926
+0.0681527
+0.0670986
+0.0661003
+0.0651604
+0.0642815
+0.0633613
+0.0623066
+0.0613038
+0.0603638
+0.0594897
+0.0586844
+0.0579508
+0.0572915
+0.0567093
+0.0562063
+0.0557848
+0.0554466
+0.0551932
+0.0550259
+0.0549336
+0.0549241
+0.055002
+0.0551668
+0.0554177
+0.0557537
+0.0559944
+0.0560352
+0.0561614
+0.0563726
+0.0566677
+0.0570455
+0.0575043
+0.0580422
+0.0586522
+0.059326
+0.0600722
+0.0608881
+0.061771
+0.0627179
+0.0637262
+0.0647928
+0.065915
+0.06709
+0.0683151
+0.0695875
+0.0709049
+0.0722646
+0.0736644
+0.075102
+0.0765753
+0.0780823
+0.0796211
+0.125354
+0.125162
+0.125008
+0.124398
+0.123112
+0.121852
+0.120618
+0.119412
+0.118234
+0.117086
+0.115967
+0.114879
+0.113823
+0.1128
+0.11181
+0.110848
+0.109919
+0.109027
+0.108172
+0.107354
+0.106575
+0.105836
+0.105138
+0.10448
+0.103865
+0.103293
+0.101606
+0.0998593
+0.0981305
+0.0964206
+0.0947304
+0.0930602
+0.0914096
+0.0897821
+0.088179
+0.0866017
+0.0850515
+0.08353
+0.0820351
+0.080568
+0.0791344
+0.0777361
+0.0763751
+0.0750533
+0.0737729
+0.0725361
+0.0713451
+0.0702023
+0.06911
+0.0680707
+0.067087
+0.0661611
+0.0652956
+0.064389
+0.0633432
+0.0623564
+0.061432
+0.0605727
+0.0597813
+0.0590607
+0.0584133
+0.0578418
+0.0573482
+0.0569348
+0.0566032
+0.0563548
+0.0561908
+0.0561002
+0.0560909
+0.0561671
+0.0563285
+0.0565743
+0.0569034
+0.057109
+0.0571489
+0.0572727
+0.0574798
+0.0577693
+0.0581399
+0.0585902
+0.0591182
+0.059722
+0.0603883
+0.0611215
+0.0619236
+0.0627919
+0.0637237
+0.0647163
+0.0657669
+0.0668727
+0.0680312
+0.0692396
+0.0704954
+0.0717961
+0.0731392
+0.0745226
+0.075944
+0.0774013
+0.0788925
+0.0804157
+0.12668
+0.126489
+0.126337
+0.126098
+0.124829
+0.123587
+0.122371
+0.121182
+0.120022
+0.11889
+0.117789
+0.116718
+0.115679
+0.114672
+0.113697
+0.112749
+0.111836
+0.110959
+0.110119
+0.109316
+0.108552
+0.107826
+0.10714
+0.106496
+0.105824
+0.104056
+0.102304
+0.10057
+0.0988533
+0.0971544
+0.0954741
+0.0938148
+0.0921777
+0.090564
+0.088975
+0.087412
+0.0858764
+0.0843698
+0.08289
+0.0814384
+0.0800204
+0.0786378
+0.0772927
+0.0759868
+0.0747224
+0.0735016
+0.0723265
+0.0711995
+0.0701227
+0.0690987
+0.0681298
+0.0672183
+0.0663666
+0.0654611
+0.0644323
+0.0634624
+0.0625543
+0.0617106
+0.0609341
+0.0602272
+0.0595926
+0.0590324
+0.0585489
+0.058144
+0.0578193
+0.0575762
+0.0574157
+0.0573267
+0.0573176
+0.0573921
+0.0575501
+0.0577907
+0.0581129
+0.0582846
+0.0583238
+0.0584451
+0.058648
+0.0589317
+0.0592951
+0.0597366
+0.0602546
+0.0608472
+0.0615103
+0.0622303
+0.0630183
+0.0638717
+0.064788
+0.0657645
+0.0667986
+0.0678876
+0.0690291
+0.0702203
+0.0714588
+0.0727423
+0.0740683
+0.0754346
+0.0768392
+0.0782798
+0.0797546
+0.0812616
+0.128029
+0.127841
+0.12769
+0.127576
+0.126561
+0.125336
+0.124137
+0.122966
+0.121822
+0.120708
+0.119623
+0.118569
+0.117546
+0.116555
+0.115592
+0.11466
+0.113763
+0.112901
+0.112075
+0.111286
+0.110535
+0.109823
+0.10915
+0.108311
+0.106539
+0.104784
+0.103044
+0.10132
+0.0996136
+0.0979264
+0.0962596
+0.094614
+0.092991
+0.0913917
+0.0898173
+0.0882692
+0.0867489
+0.0852577
+0.0837936
+0.0823578
+0.080956
+0.0795897
+0.0782608
+0.0769715
+0.0757235
+0.0745191
+0.0733603
+0.0722493
+0.0711885
+0.07018
+0.0692262
+0.0683294
+0.0674917
+0.0665876
+0.0655765
+0.0646238
+0.0637323
+0.0629044
+0.0621427
+0.0614498
+0.0608279
+0.0602792
+0.0598058
+0.0594095
+0.0590917
+0.0588539
+0.0586969
+0.0586094
+0.0586005
+0.0586735
+0.058828
+0.0590634
+0.0593787
+0.0595177
+0.059556
+0.0596748
+0.0598736
+0.0601516
+0.0605076
+0.0609403
+0.0614482
+0.0620293
+0.0626816
+0.0633954
+0.0641691
+0.0650074
+0.0659079
+0.066868
+0.0678853
+0.0689572
+0.0700812
+0.0712549
+0.0724757
+0.0737415
+0.0750499
+0.0763986
+0.0777858
+0.0792092
+0.080667
+0.0821573
+0.129401
+0.129215
+0.129066
+0.128953
+0.128308
+0.127099
+0.125917
+0.124762
+0.123635
+0.122537
+0.121469
+0.120431
+0.119424
+0.118448
+0.117498
+0.116581
+0.115699
+0.114852
+0.11404
+0.113265
+0.112527
+0.111827
+0.110829
+0.109055
+0.107295
+0.105549
+0.103819
+0.102108
+0.100414
+0.098741
+0.0970881
+0.0954569
+0.0938485
+0.092264
+0.0907047
+0.0891721
+0.0876674
+0.086192
+0.0847441
+0.0833248
+0.0819394
+0.0805898
+0.0792778
+0.0780052
+0.076774
+0.0755863
+0.0744441
+0.0733496
+0.0723049
+0.0713123
+0.0703738
+0.0694917
+0.0686683
+0.0677662
+0.066773
+0.0658376
+0.0649627
+0.0641507
+0.063404
+0.062725
+0.0621159
+0.0615787
+0.0611154
+0.0607276
+0.0604168
+0.0601841
+0.0600306
+0.0599448
+0.0599361
+0.0600074
+0.0601585
+0.0603887
+0.0606972
+0.0608047
+0.0608422
+0.0609585
+0.0611531
+0.0614253
+0.061774
+0.0621979
+0.0626956
+0.0632652
+0.063905
+0.0646126
+0.065373
+0.0661961
+0.0670806
+0.0680242
+0.0690245
+0.070079
+0.0711853
+0.072341
+0.0735439
+0.0747915
+0.0760818
+0.0774126
+0.0787819
+0.0801876
+0.081628
+0.0831011
+0.113826
+0.112648
+0.111499
+0.11037
+0.10913
+0.107835
+0.10657
+0.105335
+0.104132
+0.10296
+0.101821
+0.100717
+0.0996485
+0.0986173
+0.0976244
+0.0966683
+0.0957482
+0.0948697
+0.094034
+0.0932423
+0.0924958
+0.0917955
+0.0911424
+0.0905377
+0.0899823
+0.0893124
+0.088582
+0.0878916
+0.0869153
+0.0859574
+0.0847198
+0.0834111
+0.08214
+0.0809082
+0.0797176
+0.0785701
+0.0774595
+0.0762902
+0.0751666
+0.0740908
+0.0730648
+0.0720908
+0.071171
+0.0702952
+0.0694765
+0.0687179
+0.0680214
+0.067389
+0.0668224
+0.0663173
+0.0658591
+0.06546
+0.0651289
+0.0648701
+0.0646716
+0.0643876
+0.0637456
+0.063154
+0.0626336
+0.062186
+0.0618129
+0.0615155
+0.0612951
+0.0611524
+0.0610717
+0.0610554
+0.0610117
+0.0605577
+0.06018
+0.0598495
+0.0595674
+0.0593637
+0.059236
+0.0591778
+0.0591967
+0.0592521
+0.0593745
+0.0595651
+0.0598006
+0.0601049
+0.0604808
+0.060882
+0.061325
+0.0618373
+0.0624219
+0.0628755
+0.0631481
+0.0634951
+0.0639153
+0.0644074
+0.0649696
+0.0656002
+0.0662973
+0.0670525
+0.0678625
+0.0687327
+0.0696611
+0.0706451
+0.0716826
+0.0727713
+0.112643
+0.111452
+0.110181
+0.108811
+0.107468
+0.106153
+0.104868
+0.103611
+0.102385
+0.101192
+0.100033
+0.0989091
+0.0978211
+0.0967704
+0.0957583
+0.0947861
+0.0938547
+0.0929583
+0.0921053
+0.0912969
+0.0905343
+0.0898187
+0.0891512
+0.0885329
+0.0879648
+0.0874479
+0.0869831
+0.0865713
+0.0858366
+0.0845258
+0.0831563
+0.0818226
+0.0805264
+0.0792696
+0.078054
+0.0768816
+0.0757279
+0.0745314
+0.0733809
+0.0722785
+0.0712264
+0.0702269
+0.0692823
+0.0683888
+0.067547
+0.0667665
+0.0660494
+0.065398
+0.064814
+0.0642993
+0.0638323
+0.0634235
+0.0630817
+0.0628145
+0.0626095
+0.0624793
+0.0618365
+0.0612343
+0.0606974
+0.0602354
+0.0598501
+0.0595429
+0.0593152
+0.0591677
+0.0590856
+0.0590688
+0.0591331
+0.0587398
+0.0583504
+0.0580084
+0.0577254
+0.0575152
+0.0573833
+0.0573232
+0.0573468
+0.0574062
+0.0575402
+0.0577318
+0.0579747
+0.058286
+0.0586683
+0.0590809
+0.0595373
+0.0600649
+0.0606666
+0.0611729
+0.061453
+0.0618095
+0.0622411
+0.0627463
+0.0633233
+0.0639701
+0.0646847
+0.0654631
+0.0662924
+0.0671831
+0.0681325
+0.0691383
+0.0701981
+0.0713095
+0.111438
+0.109996
+0.108579
+0.107189
+0.105825
+0.104487
+0.103179
+0.101902
+0.100655
+0.0994417
+0.0982619
+0.0971172
+0.0960088
+0.0949381
+0.0939063
+0.0929147
+0.0919646
+0.0910572
+0.0901886
+0.0893629
+0.0885836
+0.0878521
+0.0871696
+0.0865371
+0.0859558
+0.0854267
+0.0849509
+0.0845291
+0.0841623
+0.0830061
+0.0816217
+0.0802625
+0.0789407
+0.0776582
+0.076417
+0.0752191
+0.0740205
+0.0727961
+0.0716177
+0.0704877
+0.0694085
+0.0683824
+0.0674119
+0.0664995
+0.0656339
+0.0648304
+0.0640917
+0.0634201
+0.0628178
+0.0622867
+0.0618167
+0.0613976
+0.0610445
+0.0607683
+0.0605564
+0.0604217
+0.0599428
+0.0593279
+0.058779
+0.0583018
+0.0579036
+0.0575861
+0.0573506
+0.057198
+0.0571144
+0.057097
+0.0571636
+0.0569482
+0.0565413
+0.0561924
+0.0559071
+0.0556914
+0.0555552
+0.0554931
+0.0555175
+0.0555836
+0.0557221
+0.0559241
+0.0561727
+0.0564909
+0.0568815
+0.057307
+0.0577774
+0.058321
+0.0589404
+0.0595021
+0.0597901
+0.0601564
+0.0605998
+0.0611186
+0.0617108
+0.0623744
+0.0631071
+0.0639065
+0.0647585
+0.0656699
+0.0666409
+0.0676689
+0.0687513
+0.0698857
+0.109898
+0.108436
+0.106997
+0.105584
+0.104198
+0.102839
+0.10151
+0.100211
+0.0989435
+0.0977086
+0.0965077
+0.0953419
+0.0942127
+0.0931213
+0.0920691
+0.0910575
+0.0900878
+0.0891614
+0.0882796
+0.0874409
+0.0866444
+0.0858964
+0.0851981
+0.0845509
+0.0839558
+0.0834141
+0.0829267
+0.0824946
+0.0821188
+0.0814933
+0.0800977
+0.0787324
+0.0773845
+0.0760757
+0.0748083
+0.0735842
+0.0723392
+0.0710858
+0.0698786
+0.06872
+0.0676126
+0.0665589
+0.0655614
+0.0646229
+0.0637387
+0.062911
+0.0621495
+0.0614567
+0.0608349
+0.0602864
+0.0598052
+0.0593811
+0.0590183
+0.0587326
+0.0585133
+0.0583739
+0.0580699
+0.0574351
+0.0568776
+0.056387
+0.0559752
+0.0556467
+0.0554029
+0.055245
+0.0551599
+0.0551418
+0.0552108
+0.0551781
+0.0547559
+0.054404
+0.0541093
+0.053895
+0.0537542
+0.0536901
+0.0537153
+0.0537886
+0.0539303
+0.0541448
+0.0543922
+0.0547207
+0.0551239
+0.0555629
+0.0560479
+0.0566081
+0.057246
+0.0578661
+0.0581621
+0.0585387
+0.0589943
+0.059527
+0.0601349
+0.0608157
+0.0615669
+0.062386
+0.0632632
+0.0641958
+0.0651888
+0.0662393
+0.0673448
+0.0685024
+0.108379
+0.106894
+0.105434
+0.104
+0.102592
+0.101212
+0.0998611
+0.0985403
+0.097251
+0.0959943
+0.0947716
+0.0935843
+0.0924335
+0.0913209
+0.0902478
+0.0892155
+0.0882255
+0.0872793
+0.0863784
+0.085524
+0.0847173
+0.0839517
+0.0832367
+0.0825737
+0.0819639
+0.0814085
+0.0809086
+0.0804652
+0.0800794
+0.0797518
+0.07859
+0.077204
+0.075856
+0.0745241
+0.0732298
+0.0719789
+0.0706798
+0.0694026
+0.0681656
+0.0669774
+0.0658407
+0.0647581
+0.0637325
+0.0627666
+0.0618631
+0.0610099
+0.0602244
+0.0595092
+0.0588668
+0.0582998
+0.0578058
+0.0573704
+0.0569997
+0.056704
+0.0564812
+0.0563368
+0.0562201
+0.0555641
+0.0549876
+0.0544931
+0.0540669
+0.0537267
+0.0534741
+0.0533105
+0.0532237
+0.053205
+0.0532764
+0.0534369
+0.0530008
+0.052646
+0.0523414
+0.0521272
+0.0519832
+0.0519169
+0.051943
+0.0520239
+0.052169
+0.0523928
+0.0526427
+0.052982
+0.0533983
+0.0538514
+0.0543517
+0.0549291
+0.0555863
+0.0562678
+0.0565722
+0.0569593
+0.0574274
+0.0579745
+0.0585985
+0.0592969
+0.0600672
+0.0609065
+0.0618094
+0.0627636
+0.0637789
+0.0648523
+0.0659809
+0.0671621
+0.106881
+0.105375
+0.103894
+0.102438
+0.101008
+0.0996062
+0.0982332
+0.0968903
+0.0955787
+0.0942997
+0.0930548
+0.0918452
+0.0906724
+0.0895379
+0.0884431
+0.0873895
+0.0863787
+0.085412
+0.0844911
+0.0836175
+0.0827927
+0.0820163
+0.0812843
+0.0806052
+0.0799804
+0.0794111
+0.0788986
+0.0784438
+0.078048
+0.0777119
+0.0771146
+0.0757021
+0.0743269
+0.0729914
+0.0716835
+0.070399
+0.0690496
+0.0677442
+0.0664806
+0.0652618
+0.0640946
+0.062982
+0.061927
+0.0609325
+0.0600015
+0.0591288
+0.058318
+0.0575791
+0.056915
+0.0563283
+0.0558206
+0.0553734
+0.0549924
+0.0546858
+0.0544614
+0.0543117
+0.05425
+0.0537173
+0.0531208
+0.0526088
+0.052177
+0.0518244
+0.0515626
+0.0513929
+0.051308
+0.0512886
+0.0513627
+0.0515299
+0.0512793
+0.0509191
+0.0506066
+0.0503851
+0.0502453
+0.0501766
+0.0502036
+0.0502927
+0.0504413
+0.0506689
+0.0509272
+0.051278
+0.0517079
+0.0521757
+0.0526919
+0.0532873
+0.0539646
+0.0546862
+0.0550236
+0.0554215
+0.0559025
+0.0564644
+0.0571049
+0.0578213
+0.058611
+0.0594708
+0.060398
+0.0613762
+0.062414
+0.0635105
+0.0646626
+0.0658674
+0.105394
+0.10388
+0.102377
+0.100899
+0.0994473
+0.0980231
+0.0966276
+0.095262
+0.0939277
+0.0926259
+0.0913582
+0.0901258
+0.0889304
+0.0877734
+0.0866563
+0.0855807
+0.0845482
+0.0835604
+0.0826189
+0.0817253
+0.0808811
+0.080088
+0.0793443
+0.0786485
+0.078008
+0.0774242
+0.0768984
+0.0764318
+0.0760255
+0.0756804
+0.0753975
+0.0742341
+0.0728315
+0.0714682
+0.0701467
+0.0688318
+0.0674511
+0.0661141
+0.0648236
+0.0635753
+0.0623766
+0.0612328
+0.0601471
+0.0591227
+0.0581628
+0.0572698
+0.0564322
+0.0556683
+0.0549811
+0.0543736
+0.0538483
+0.0533917
+0.0529997
+0.0526815
+0.0524529
+0.0522999
+0.0522359
+0.0518973
+0.0512796
+0.050749
+0.0503052
+0.0499394
+0.0496676
+0.0494913
+0.04941
+0.049395
+0.0494719
+0.0496455
+0.0495948
+0.0492222
+0.0489084
+0.0486791
+0.0485407
+0.048473
+0.0485009
+0.0485983
+0.0487509
+0.0489823
+0.0492495
+0.0496121
+0.0500564
+0.0505394
+0.0510722
+0.0516863
+0.0523842
+0.0531018
+0.0535198
+0.0539288
+0.054423
+0.055
+0.0556574
+0.0563922
+0.0572016
+0.0580823
+0.0590313
+0.0600364
+0.061097
+0.0622167
+0.0633923
+0.0646208
+0.10381
+0.10241
+0.100885
+0.0993848
+0.0979107
+0.0964638
+0.0950453
+0.0936567
+0.0922992
+0.0909741
+0.089683
+0.0884273
+0.0872086
+0.0860284
+0.0848884
+0.0837901
+0.0827353
+0.0817256
+0.0807627
+0.0798483
+0.078984
+0.0781717
+0.0774128
+0.0767044
+0.0760476
+0.0754486
+0.0749089
+0.0744299
+0.0740126
+0.0736581
+0.0733673
+0.0727972
+0.0713719
+0.0699804
+0.0686303
+0.0672996
+0.0658867
+0.0645173
+0.0631942
+0.0619202
+0.0606891
+0.0595129
+0.0583952
+0.0573395
+0.0563492
+0.0554278
+0.0545693
+0.0537789
+0.0530672
+0.0524375
+0.0518927
+0.051425
+0.0510226
+0.0506925
+0.0504549
+0.050303
+0.0502365
+0.0501069
+0.0494669
+0.0489166
+0.0484593
+0.0480802
+0.0477978
+0.0476147
+0.0475307
+0.0475269
+0.0476069
+0.0477873
+0.0479513
+0.0475658
+0.0472507
+0.0470134
+0.0468716
+0.0468098
+0.0468387
+0.0469396
+0.0471017
+0.047337
+0.0476135
+0.0479884
+0.0484462
+0.0489465
+0.0494965
+0.0501299
+0.0508326
+0.0515618
+0.0520649
+0.0524852
+0.0529928
+0.0535853
+0.0542598
+0.0550133
+0.0558426
+0.0567445
+0.0577111
+0.0587345
+0.0598181
+0.0609613
+0.0621607
+0.0634131
+0.102248
+0.100849
+0.0994187
+0.0978961
+0.0963993
+0.0949294
+0.0934877
+0.0920755
+0.0906943
+0.0893455
+0.0880305
+0.0867509
+0.0855083
+0.0843043
+0.0831406
+0.0820189
+0.080941
+0.0799086
+0.0789236
+0.0779876
+0.0771025
+0.0762702
+0.0754922
+0.0747703
+0.0741
+0.0734852
+0.072931
+0.0724389
+0.07201
+0.0716456
+0.0713466
+0.0711139
+0.0699448
+0.0685302
+0.0671511
+0.0658045
+0.0643589
+0.0629563
+0.0615996
+0.0602921
+0.0590346
+0.0578248
+0.0566738
+0.0555854
+0.0545633
+0.0536112
+0.0527315
+0.0519131
+0.0511755
+0.0505222
+0.0499565
+0.049475
+0.0490612
+0.0487209
+0.0484737
+0.048323
+0.0482537
+0.0482838
+0.0476859
+0.0471149
+0.0466399
+0.0462501
+0.0459565
+0.0457659
+0.0456791
+0.0456776
+0.0457707
+0.0459583
+0.0462367
+0.0459541
+0.0456381
+0.0453923
+0.0452469
+0.0451864
+0.0452164
+0.0453261
+0.0454982
+0.0457376
+0.0460236
+0.0464114
+0.0468772
+0.0474009
+0.047969
+0.0486223
+0.049329
+0.0500703
+0.0506628
+0.0510947
+0.051616
+0.0522241
+0.0529159
+0.0536883
+0.0545378
+0.0554598
+0.0564395
+0.0574855
+0.0585923
+0.0597589
+0.0609819
+0.062258
+0.100709
+0.099289
+0.0978976
+0.0964343
+0.0949144
+0.0934211
+0.0919558
+0.0905197
+0.0891144
+0.0877413
+0.0864019
+0.0850978
+0.0838307
+0.0826023
+0.0814143
+0.0802685
+0.0791667
+0.0781109
+0.0771029
+0.0761445
+0.0752378
+0.0743845
+0.0735866
+0.0728459
+0.0721641
+0.071535
+0.0709656
+0.0704597
+0.0700187
+0.0696439
+0.0693363
+0.0690968
+0.068558
+0.0671142
+0.0657116
+0.0643465
+0.0628702
+0.0614337
+0.0600426
+0.0587004
+0.0574105
+0.0561714
+0.0549858
+0.0538633
+0.0528079
+0.0518236
+0.0509146
+0.0500737
+0.0493086
+0.0486302
+0.0480423
+0.0475459
+0.0471194
+0.0467688
+0.0465111
+0.0463557
+0.0462897
+0.0463211
+0.0459404
+0.0453474
+0.0448536
+0.0444526
+0.044147
+0.0439486
+0.0438587
+0.0438572
+0.0439649
+0.0441623
+0.0444488
+0.044392
+0.0440753
+0.0438207
+0.0436717
+0.0436096
+0.0436406
+0.0437628
+0.0439413
+0.0441803
+0.0444764
+0.0448776
+0.0453599
+0.045902
+0.0464947
+0.0471561
+0.0478785
+0.048629
+0.0493183
+0.0497618
+0.050297
+0.0509208
+0.0516301
+0.0524214
+0.0532911
+0.0542239
+0.0552255
+0.0562941
+0.0574238
+0.0586137
+0.0598601
+0.0611596
+0.0991946
+0.0977528
+0.0963392
+0.094955
+0.0934573
+0.0919403
+0.090451
+0.0889907
+0.0875608
+0.086163
+0.0847986
+0.0834695
+0.0821773
+0.0809238
+0.0797108
+0.0785401
+0.0774138
+0.0763337
+0.0753019
+0.0743203
+0.073391
+0.0725161
+0.0716974
+0.0709369
+0.0702365
+0.0695981
+0.0690137
+0.0684934
+0.0680397
+0.0676539
+0.0673372
+0.0670906
+0.0669148
+0.0657407
+0.0643082
+0.0629191
+0.0614233
+0.0599525
+0.0585262
+0.0571484
+0.0558226
+0.0545526
+0.0533344
+0.0521764
+0.0510861
+0.050068
+0.0491265
+0.0482637
+0.0474694
+0.0467643
+0.0461526
+0.0456379
+0.0452005
+0.0448387
+0.0445699
+0.0444077
+0.0443469
+0.0443797
+0.0442344
+0.0436183
+0.0431048
+0.0426918
+0.0423736
+0.0421669
+0.0420734
+0.0420721
+0.0421844
+0.0424034
+0.0426985
+0.042885
+0.0425665
+0.0423043
+0.0421516
+0.0420877
+0.0421199
+0.0422553
+0.0424402
+0.0426787
+0.0429851
+0.0434001
+0.0438994
+0.0444594
+0.0450669
+0.0457403
+0.0464859
+0.0472418
+0.0479538
+0.0484914
+0.0490403
+0.04968
+0.0504067
+0.051217
+0.0520984
+0.0530497
+0.0540731
+0.055164
+0.0563164
+0.0575292
+0.0587986
+0.0601211
+0.097706
+0.0962419
+0.0948057
+0.0933989
+0.0920227
+0.0904884
+0.0889747
+0.0874898
+0.086035
+0.0846119
+0.0832222
+0.0818674
+0.0805495
+0.0792703
+0.0780316
+0.0768353
+0.0756836
+0.0745785
+0.073522
+0.0725164
+0.0715637
+0.0706661
+0.0698257
+0.0690446
+0.0683249
+0.0676684
+0.0670731
+0.0665377
+0.0660705
+0.0656732
+0.0653469
+0.0650927
+0.0649116
+0.0643863
+0.0629486
+0.0615302
+0.0600162
+0.0585152
+0.0570537
+0.0556394
+0.0542768
+0.0529697
+0.0517223
+0.0505281
+0.0494015
+0.0483479
+0.0473722
+0.0464794
+0.0456612
+0.0449278
+0.0442907
+0.0437541
+0.0433074
+0.0429336
+0.0426528
+0.0424833
+0.0424264
+0.0424625
+0.0425729
+0.0419324
+0.0413979
+0.0409726
+0.0406408
+0.0404253
+0.0403277
+0.040327
+0.0404442
+0.0406791
+0.0409905
+0.0414097
+0.0411093
+0.0408491
+0.0406924
+0.040627
+0.0406603
+0.0408097
+0.0410011
+0.0412388
+0.0415559
+0.041985
+0.0425018
+0.0430796
+0.0436932
+0.0443875
+0.045152
+0.0459147
+0.0466496
+0.0472883
+0.0478511
+0.0485064
+0.0492505
+0.0500745
+0.0509694
+0.0519414
+0.0529862
+0.054099
+0.0552736
+0.0565088
+0.0578006
+0.0591454
+0.0962381
+0.0947575
+0.0932985
+0.0918686
+0.0904691
+0.0890666
+0.0875284
+0.0860185
+0.0845384
+0.0830896
+0.081674
+0.0802932
+0.078949
+0.0776434
+0.0763783
+0.0751557
+0.0739779
+0.0728469
+0.0717649
+0.0707343
+0.0697573
+0.0688361
+0.0679731
+0.0671705
+0.0664305
+0.0657551
+0.0651457
+0.0645943
+0.064113
+0.0637034
+0.063367
+0.0631049
+0.062918
+0.062807
+0.0615694
+0.0601442
+0.0586571
+0.0571204
+0.0556275
+0.054177
+0.0527766
+0.0514314
+0.0501458
+0.0489224
+0.0477579
+0.0466672
+0.0456557
+0.0447286
+0.0438878
+0.0431243
+0.0424601
+0.0419001
+0.0414389
+0.041057
+0.0407633
+0.0405859
+0.0405264
+0.0405731
+0.0407269
+0.040295
+0.0397386
+0.0392965
+0.0389542
+0.0387293
+0.0386275
+0.0386273
+0.0387496
+0.0389948
+0.0393304
+0.0397671
+0.0397196
+0.0394524
+0.0392901
+0.0392343
+0.0392688
+0.0394252
+0.0396309
+0.0398674
+0.0401952
+0.0406387
+0.0411732
+0.0417605
+0.0423883
+0.0431036
+0.0438807
+0.0446538
+0.0454113
+0.0461485
+0.046725
+0.0473959
+0.0481571
+0.0489968
+0.0499111
+0.0509033
+0.051969
+0.0531031
+0.0542993
+0.0555561
+0.0568696
+0.0582359
+0.0947965
+0.0932946
+0.0918188
+0.0903655
+0.0889424
+0.0875509
+0.0861135
+0.0845783
+0.0830726
+0.0815978
+0.0801558
+0.0787484
+0.0773774
+0.0760448
+0.0747526
+0.0735031
+0.0722983
+0.0711406
+0.0700323
+0.0689758
+0.0679735
+0.0670278
+0.0661412
+0.0653161
+0.0645548
+0.0638596
+0.0632327
+0.0626673
+0.062171
+0.0617486
+0.0614015
+0.0611309
+0.060938
+0.0608234
+0.0602382
+0.0587808
+0.0572975
+0.0557768
+0.054247
+0.0527638
+0.051326
+0.0499418
+0.0486169
+0.0473563
+0.0461599
+0.0450305
+0.0439813
+0.0430182
+0.042147
+0.0413582
+0.0406652
+0.0400801
+0.0395985
+0.0392102
+0.0389055
+0.0387196
+0.0386571
+0.0387097
+0.0388709
+0.0387124
+0.0381329
+0.0376721
+0.0373201
+0.0370852
+0.0369789
+0.0369794
+0.0371071
+0.0373631
+0.0377245
+0.038177
+0.0384028
+0.0381282
+0.0379603
+0.037915
+0.0379528
+0.0381146
+0.0383371
+0.0385717
+0.0389105
+0.0393684
+0.0399184
+0.0405157
+0.0411587
+0.041895
+0.042684
+0.0434669
+0.0442443
+0.0450482
+0.0456734
+0.0463595
+0.0471375
+0.0479951
+0.0489281
+0.0499398
+0.0510256
+0.0521802
+0.0533971
+0.0546746
+0.0560088
+0.0573956
+0.0933841
+0.0918591
+0.0903614
+0.088891
+0.0874439
+0.0860282
+0.0846456
+0.0831709
+0.0816392
+0.0801381
+0.0786694
+0.0772349
+0.0758365
+0.0744763
+0.0731565
+0.0718792
+0.0706467
+0.0694615
+0.068326
+0.0672426
+0.0662141
+0.065243
+0.0643318
+0.0634831
+0.0626996
+0.0619836
+0.0613375
+0.0607581
+0.0602462
+0.0598101
+0.0594517
+0.0591722
+0.0589729
+0.0588544
+0.0588174
+0.0574686
+0.0559339
+0.0544354
+0.0529211
+0.0513997
+0.049928
+0.0485054
+0.0471402
+0.045839
+0.0446075
+0.0434425
+0.042354
+0.041353
+0.040446
+0.0396345
+0.0389109
+0.038299
+0.0377954
+0.0373975
+0.0370839
+0.0368888
+0.0368233
+0.0368777
+0.0370468
+0.0371916
+0.036588
+0.0361074
+0.0357455
+0.0355002
+0.0353891
+0.0353904
+0.0355238
+0.0357911
+0.03618
+0.0366437
+0.037126
+0.0368866
+0.036713
+0.0366662
+0.0367154
+0.0368826
+0.0371087
+0.0373475
+0.0376973
+0.0381698
+0.0387343
+0.0393534
+0.0400113
+0.0407684
+0.0415613
+0.0423601
+0.0431502
+0.0439742
+0.0447045
+0.0454052
+0.0461993
+0.047074
+0.0480249
+0.0490552
+0.0501602
+0.0513343
+0.0525707
+0.0538679
+0.0552215
+0.0566276
+0.0920022
+0.0904539
+0.0889325
+0.0874396
+0.0859747
+0.0845344
+0.083127
+0.081754
+0.0802401
+0.0787123
+0.0772165
+0.0757544
+0.0743282
+0.0729399
+0.0715918
+0.070286
+0.0690251
+0.0678116
+0.0666479
+0.0655369
+0.0644812
+0.0634835
+0.0625467
+0.0616735
+0.0608666
+0.0601288
+0.0594626
+0.0588681
+0.0583396
+0.0578892
+0.0575187
+0.0572298
+0.0570237
+0.0569012
+0.0568629
+0.0561989
+0.054624
+0.0530887
+0.0515946
+0.0500943
+0.0485831
+0.0471253
+0.0457208
+0.044378
+0.0431047
+0.0419074
+0.0407796
+0.0397389
+0.0387942
+0.0379525
+0.0372028
+0.0365624
+0.0360353
+0.0356178
+0.0353044
+0.0350994
+0.0350305
+0.0350867
+0.0352645
+0.0355765
+0.0351119
+0.0346108
+0.0342388
+0.0339826
+0.0338665
+0.0338685
+0.0340079
+0.034287
+0.0346886
+0.03518
+0.0357759
+0.0357199
+0.0355571
+0.0355088
+0.0355595
+0.0357322
+0.0359656
+0.0362118
+0.0365725
+0.0370593
+0.0376405
+0.0382814
+0.0389535
+0.0397307
+0.0405203
+0.0413399
+0.0421415
+0.0429787
+0.0438238
+0.0445384
+0.0453476
+0.0462384
+0.0472061
+0.048254
+0.0493769
+0.0505691
+0.0518238
+0.0531393
+0.054511
+0.0559349
+0.0906521
+0.0890803
+0.0875352
+0.086018
+0.0845304
+0.0830666
+0.0816338
+0.0802352
+0.0788727
+0.0773223
+0.075799
+0.0743091
+0.0728546
+0.0714377
+0.0700606
+0.0687258
+0.0674357
+0.066193
+0.0650004
+0.0638607
+0.0627768
+0.0617516
+0.0607881
+0.0598893
+0.0590581
+0.0582974
+0.05761
+0.0569961
+0.0564501
+0.0559845
+0.0556014
+0.0553025
+0.0550891
+0.0549623
+0.0549227
+0.0549704
+0.053372
+0.0517997
+0.0502673
+0.0487852
+0.0473014
+0.0458028
+0.0443619
+0.042979
+0.0416631
+0.040423
+0.0392581
+0.038176
+0.0371916
+0.0363128
+0.0355475
+0.0348769
+0.0343248
+0.0338862
+0.0335735
+0.0333579
+0.0332853
+0.0333435
+0.0335305
+0.0338585
+0.0337136
+0.0331914
+0.0328075
+0.0325418
+0.0324205
+0.0324234
+0.032569
+0.0328603
+0.0332728
+0.0337879
+0.0344149
+0.0346427
+0.0345017
+0.0344519
+0.0345042
+0.0346821
+0.0349225
+0.0351761
+0.0355473
+0.0360479
+0.0366452
+0.0373074
+0.0379926
+0.0387891
+0.0395732
+0.0404127
+0.0412102
+0.0420656
+0.0430011
+0.0437641
+0.0445874
+0.0454931
+0.0464763
+0.0475403
+0.0486796
+0.0498886
+0.05116
+0.052492
+0.0538802
+0.0553204
+0.0893341
+0.08774
+0.0861708
+0.0846292
+0.0831168
+0.0816307
+0.0801723
+0.0787478
+0.0773591
+0.0759689
+0.0744191
+0.072901
+0.0714178
+0.0699718
+0.0685653
+0.0672008
+0.0658808
+0.0646082
+0.0633858
+0.0622166
+0.0611035
+0.0600497
+0.0590585
+0.0581329
+0.0572762
+0.0564915
+0.0557819
+0.0551477
+0.0545832
+0.0541015
+0.053705
+0.0533954
+0.0531744
+0.053043
+0.053002
+0.0530514
+0.0521769
+0.0505727
+0.049002
+0.0474804
+0.0460128
+0.0445489
+0.043066
+0.0416456
+0.0402889
+0.0390053
+0.0377967
+0.0366715
+0.0356455
+0.0347276
+0.0339266
+0.0332352
+0.0326638
+0.0322106
+0.0318936
+0.0316721
+0.0315957
+0.031656
+0.0318529
+0.032198
+0.0324031
+0.0318595
+0.0314593
+0.0311884
+0.0310619
+0.0310656
+0.0312175
+0.0315211
+0.0319446
+0.0324808
+0.0331336
+0.0336737
+0.0335389
+0.0335051
+0.0335589
+0.0337418
+0.0339889
+0.0342493
+0.0346304
+0.035141
+0.035752
+0.0364355
+0.0371363
+0.0379344
+0.038727
+0.0395638
+0.040376
+0.0412488
+0.0422023
+0.0430874
+0.0439234
+0.0448425
+0.0458397
+0.0469181
+0.0480721
+0.049296
+0.0505823
+0.0519292
+0.053332
+0.0547866
+0.0880416
+0.0864246
+0.0848334
+0.0832693
+0.0817341
+0.080229
+0.0787446
+0.0772938
+0.0758785
+0.0745008
+0.0730702
+0.0715262
+0.0700167
+0.0685437
+0.0671081
+0.0657134
+0.064363
+0.0630597
+0.0618067
+0.060607
+0.0594638
+0.0583805
+0.0573604
+0.0564069
+0.0555236
+0.0547138
+0.0539808
+0.0533252
+0.0527411
+0.0522425
+0.0518317
+0.051511
+0.0512818
+0.0511456
+0.051103
+0.0511542
+0.0510349
+0.0493992
+0.0478013
+0.0462426
+0.0447344
+0.0432846
+0.0418448
+0.0403814
+0.0389863
+0.0376616
+0.0364084
+0.035239
+0.03417
+0.0332114
+0.0323728
+0.0316489
+0.0310518
+0.0305966
+0.0302663
+0.0300516
+0.0299711
+0.0300335
+0.030241
+0.0306043
+0.0311179
+0.0306265
+0.03021
+0.0299323
+0.0298004
+0.0298071
+0.0299654
+0.0302756
+0.0307154
+0.0312727
+0.0319501
+0.0327424
+0.0326842
+0.0326522
+0.0327331
+0.0329206
+0.0331738
+0.0334406
+0.0338276
+0.0343265
+0.0349513
+0.0356552
+0.0363722
+0.0371821
+0.0379781
+0.038818
+0.0396455
+0.040534
+0.0415039
+0.0425129
+0.04336
+0.0442908
+0.0453002
+0.0463911
+0.0475579
+0.0487947
+0.0500939
+0.0514535
+0.052869
+0.054336
+0.0867852
+0.0851443
+0.0835287
+0.0819398
+0.0803792
+0.0788485
+0.0773496
+0.0758753
+0.074433
+0.073028
+0.0716624
+0.0701885
+0.0686495
+0.0671468
+0.0656828
+0.0642602
+0.0628816
+0.0615496
+0.0602659
+0.0590348
+0.0578606
+0.0567467
+0.0556966
+0.0547142
+0.0538031
+0.052967
+0.0522094
+0.0515313
+0.0509267
+0.0504102
+0.0499843
+0.0496516
+0.0494139
+0.0492725
+0.0492282
+0.0492814
+0.0494318
+0.0482953
+0.0466595
+0.0450709
+0.0435289
+0.0420375
+0.0406071
+0.039199
+0.0377602
+0.0363965
+0.0351021
+0.0338876
+0.0327746
+0.0317739
+0.0308964
+0.030137
+0.0295144
+0.0290352
+0.028714
+0.0285075
+0.0284225
+0.0284872
+0.0287059
+0.0290883
+0.029627
+0.0295049
+0.0290723
+0.028784
+0.0286469
+0.0286611
+0.0288257
+0.0291409
+0.0295975
+0.0301754
+0.030877
+0.0316961
+0.0319559
+0.0319244
+0.0320237
+0.0322041
+0.0324695
+0.032735
+0.0331258
+0.0336349
+0.0342721
+0.0349899
+0.0357203
+0.0365208
+0.0373293
+0.0381836
+0.0390244
+0.0399267
+0.0409111
+0.0419443
+0.0429012
+0.0438417
+0.0448612
+0.0459626
+0.04714
+0.0483875
+0.0496973
+0.0510675
+0.0524934
+0.0539706
+0.0855664
+0.0839017
+0.0822617
+0.0806478
+0.0790617
+0.0775051
+0.0759797
+0.0744837
+0.0730221
+0.0715919
+0.0701984
+0.0688464
+0.0673256
+0.065793
+0.0642981
+0.0628441
+0.0614339
+0.0600704
+0.0587569
+0.057497
+0.0562941
+0.0551511
+0.0540705
+0.053058
+0.0521179
+0.0512543
+0.0504711
+0.0497647
+0.0491384
+0.0486028
+0.048161
+0.0478156
+0.0475687
+0.0474218
+0.0473758
+0.0474311
+0.0475873
+0.0472653
+0.0455945
+0.0439674
+0.0423911
+0.0408698
+0.039397
+0.037986
+0.0366242
+0.0352165
+0.0338872
+0.0326275
+0.03147
+0.0304264
+0.0295088
+0.0287128
+0.0280628
+0.0275595
+0.0272225
+0.0270442
+0.0269546
+0.0270301
+0.0272605
+0.0276629
+0.028216
+0.0285077
+0.0280598
+0.0277614
+0.0276191
+0.0276352
+0.0278059
+0.0281312
+0.028604
+0.0292016
+0.029926
+0.0307704
+0.0313495
+0.0313305
+0.0314326
+0.031618
+0.0318883
+0.0321586
+0.0325563
+0.0330742
+0.0337218
+0.0344512
+0.0351928
+0.0359793
+0.0367997
+0.037666
+0.0385181
+0.0394312
+0.0404272
+0.0414736
+0.0425462
+0.0434985
+0.0445258
+0.0456353
+0.046821
+0.0480767
+0.0493947
+0.0507731
+0.0522071
+0.0536921
+0.084387
+0.0826985
+0.0810341
+0.0793953
+0.0777836
+0.0762009
+0.0746489
+0.0731256
+0.0716364
+0.0701839
+0.0687706
+0.0673925
+0.0660453
+0.0644844
+0.0629592
+0.0614736
+0.0600311
+0.058635
+0.0572887
+0.0559957
+0.0547599
+0.0535852
+0.0524756
+0.0514355
+0.0504691
+0.0495791
+0.0487691
+0.0480314
+0.0473821
+0.0468265
+0.0463678
+0.0460089
+0.0457522
+0.0455995
+0.0455517
+0.0456092
+0.0457716
+0.0458804
+0.0446079
+0.0429465
+0.0413321
+0.039772
+0.0382738
+0.0368201
+0.0354419
+0.0341225
+0.0327538
+0.031469
+0.0302672
+0.0291806
+0.0282225
+0.0273899
+0.0267077
+0.0261842
+0.0258293
+0.0256571
+0.0255772
+0.0256702
+0.0259198
+0.0263428
+0.0269088
+0.0276321
+0.0271864
+0.0268787
+0.0267318
+0.0267484
+0.0269247
+0.0272605
+0.0277481
+0.0283638
+0.029109
+0.0299765
+0.0308511
+0.0308695
+0.0309733
+0.0311618
+0.0314228
+0.0317217
+0.0321265
+0.0326512
+0.0333068
+0.0340453
+0.0347955
+0.0355647
+0.0363944
+0.0372702
+0.0381311
+0.0390412
+0.0400468
+0.0411144
+0.0421961
+0.043258
+0.0442964
+0.0454114
+0.0466028
+0.0478643
+0.049188
+0.050572
+0.0520115
+0.053502
+0.0832484
+0.0815364
+0.0798478
+0.0781841
+0.076547
+0.0749381
+0.0733593
+0.0718088
+0.0702916
+0.0688108
+0.0673686
+0.0659677
+0.0646107
+0.0632225
+0.0616679
+0.0601516
+0.0586766
+0.0572475
+0.0558678
+0.0545411
+0.0532716
+0.0520633
+0.0509206
+0.049848
+0.0488502
+0.0479319
+0.0470975
+0.0463368
+0.0456635
+0.0450867
+0.04461
+0.0442369
+0.0439699
+0.0438109
+0.0437612
+0.043821
+0.04399
+0.0440595
+0.0437077
+0.042011
+0.0403593
+0.0387601
+0.0372211
+0.0357503
+0.0343295
+0.0329928
+0.0317228
+0.030404
+0.0291669
+0.0280377
+0.0270392
+0.0261837
+0.0254693
+0.0249258
+0.0245527
+0.0243715
+0.0243194
+0.0244171
+0.0246844
+0.0251281
+0.0257221
+0.0264778
+0.026466
+0.0261503
+0.0259992
+0.0260163
+0.0261975
+0.0265426
+0.0270431
+0.0276745
+0.0284378
+0.0293251
+0.0303255
+0.0304094
+0.0304793
+0.0306806
+0.0310355
+0.0314039
+0.0318418
+0.0323712
+0.0330181
+0.0337587
+0.0345329
+0.0352815
+0.0361177
+0.0369917
+0.0378576
+0.0387712
+0.0397837
+0.0408636
+0.0419577
+0.0430959
+0.0441651
+0.0452926
+0.046487
+0.0477515
+0.0490783
+0.0504653
+0.0519078
+0.0534012
+0.0821525
+0.0804172
+0.0787046
+0.0770162
+0.0753537
+0.0737187
+0.0721133
+0.0705354
+0.0689902
+0.0674808
+0.0660096
+0.0645792
+0.0631924
+0.0618522
+0.0604266
+0.0588797
+0.0573739
+0.0559115
+0.0544979
+0.0531371
+0.0518331
+0.0505905
+0.0494138
+0.0483078
+0.0472775
+0.0463279
+0.0454642
+0.0446854
+0.0439868
+0.0433877
+0.0428922
+0.042504
+0.042226
+0.0420604
+0.0420086
+0.042071
+0.042247
+0.0422567
+0.042061
+0.0411595
+0.0394841
+0.037848
+0.0362704
+0.0347593
+0.0333238
+0.0319454
+0.0306612
+0.0294538
+0.0281942
+0.0270244
+0.0259869
+0.0250983
+0.0243652
+0.0237983
+0.0234085
+0.0232184
+0.0231914
+0.0233031
+0.0235829
+0.024047
+0.0246705
+0.0254574
+0.0259114
+0.0255892
+0.0254348
+0.0254523
+0.0256375
+0.02599
+0.0265009
+0.0271449
+0.0279227
+0.0288258
+0.0296387
+0.0295537
+0.0296257
+0.0298326
+0.0301975
+0.0307147
+0.0313767
+0.0321647
+0.0328595
+0.0336035
+0.034395
+0.0351328
+0.0359725
+0.0368248
+0.0376952
+0.0386238
+0.0396401
+0.0407125
+0.0418328
+0.0429743
+0.0441307
+0.0452664
+0.0464665
+0.0477305
+0.0490578
+0.0504454
+0.0518884
+0.0533824
+0.081101
+0.0793427
+0.0776063
+0.0758935
+0.0742059
+0.0725451
+0.0709131
+0.0693078
+0.0677347
+0.0661967
+0.0646963
+0.0632362
+0.0618193
+0.0604485
+0.0591272
+0.0576616
+0.056124
+0.0546306
+0.053183
+0.0517876
+0.0504488
+0.0491712
+0.0479597
+0.0468193
+0.0457555
+0.0447737
+0.0438794
+0.043078
+0.042357
+0.0417345
+0.0412192
+0.0408151
+0.0405255
+0.040353
+0.040299
+0.0403639
+0.0405473
+0.0404916
+0.0402924
+0.0401913
+0.0386916
+0.0370365
+0.0354297
+0.0338812
+0.0324068
+0.0310172
+0.0296933
+0.0284763
+0.0273479
+0.0261557
+0.0250823
+0.0241604
+0.0234078
+0.022824
+0.0224173
+0.0222187
+0.0221905
+0.022329
+0.0226404
+0.0231234
+0.0237712
+0.0245869
+0.0255128
+0.0252055
+0.0250499
+0.0250676
+0.0252556
+0.0256134
+0.0261317
+0.0267846
+0.0275725
+0.0284668
+0.0289265
+0.0288394
+0.0289131
+0.0291252
+0.0294988
+0.030028
+0.0306946
+0.0314802
+0.0323951
+0.0334287
+0.0343654
+0.0351119
+0.0359524
+0.0367878
+0.0376591
+0.0385929
+0.0396059
+0.040679
+0.0418224
+0.0429594
+0.0441389
+0.0453388
+0.046537
+0.0477991
+0.0491246
+0.0505104
+0.0519516
+0.0534437
+0.0800956
+0.0783147
+0.0765551
+0.0748182
+0.0731057
+0.0714194
+0.069761
+0.0681286
+0.0665276
+0.064961
+0.0634314
+0.0619415
+0.0604943
+0.0590928
+0.0577405
+0.0564408
+0.0549322
+0.0534058
+0.0519253
+0.0504952
+0.0491212
+0.0478081
+0.0465611
+0.0453857
+0.0442874
+0.0432723
+0.0423463
+0.0415153
+0.0407673
+0.0401201
+0.0395838
+0.0391628
+0.0388609
+0.0386809
+0.0386246
+0.0386924
+0.0388837
+0.0387699
+0.0385619
+0.0384612
+0.0379844
+0.0363204
+0.0346905
+0.0331248
+0.0316152
+0.0301892
+0.0288592
+0.0276058
+0.0264741
+0.0254458
+0.0243418
+0.0233907
+0.0226125
+0.0220252
+0.0216034
+0.0213973
+0.0213681
+0.0215144
+0.0218451
+0.0223512
+0.0230092
+0.023851
+0.0248552
+0.0249725
+0.0248517
+0.0248707
+0.0250602
+0.0254207
+0.0259429
+0.0266003
+0.0273797
+0.0282607
+0.028366
+0.0282771
+0.0283445
+0.0285608
+0.0289417
+0.0294779
+0.0301362
+0.030936
+0.0318665
+0.0329168
+0.0340757
+0.0352097
+0.0360479
+0.0368812
+0.0377503
+0.0386803
+0.0396927
+0.0407634
+0.0419146
+0.0430395
+0.0442377
+0.0454533
+0.0467102
+0.0479678
+0.0492888
+0.05067
+0.0521068
+0.0535947
+0.0791381
+0.0773352
+0.0755527
+0.0737922
+0.0720554
+0.0703439
+0.0686596
+0.0670003
+0.0653717
+0.0637767
+0.062218
+0.0606983
+0.0592207
+0.0577884
+0.0564048
+0.0550736
+0.0537987
+0.0522439
+0.0507295
+0.0492646
+0.0478553
+0.0465065
+0.0452236
+0.0440125
+0.0428791
+0.0418298
+0.0408711
+0.0400095
+0.0392328
+0.0385599
+0.0380015
+0.0375628
+0.0372479
+0.0370601
+0.0370013
+0.0370721
+0.0372717
+0.0370978
+0.0368803
+0.0367802
+0.0367973
+0.0356741
+0.0340661
+0.0324709
+0.0309487
+0.029501
+0.0281384
+0.0268856
+0.0257227
+0.0246994
+0.0237616
+0.0227863
+0.0219867
+0.0213826
+0.0209519
+0.0207393
+0.0207453
+0.0208986
+0.0212389
+0.021753
+0.0224286
+0.0232911
+0.0239665
+0.0245991
+0.0248096
+0.0248659
+0.0250555
+0.025416
+0.0259383
+0.0265896
+0.0273414
+0.0281653
+0.0279578
+0.0278628
+0.0279113
+0.0281309
+0.0285176
+0.0290617
+0.0297292
+0.0305396
+0.0314819
+0.0325445
+0.0337162
+0.0349799
+0.0362757
+0.0371039
+0.0379679
+0.0388911
+0.0398996
+0.0409649
+0.0420988
+0.0432306
+0.0444293
+0.0456544
+0.0469357
+0.0482355
+0.0495494
+0.0509236
+0.0523534
+0.0538344
+0.0782302
+0.0764059
+0.0746012
+0.0728178
+0.0710571
+0.0693209
+0.0676111
+0.0659255
+0.0642696
+0.0626466
+0.061059
+0.0595098
+0.0580019
+0.0565387
+0.0551238
+0.0537608
+0.0524541
+0.0511494
+0.0496016
+0.0481024
+0.046658
+0.0452735
+0.0439547
+0.0427075
+0.0415386
+0.0404545
+0.0394625
+0.0385694
+0.0377631
+0.0370635
+0.0364822
+0.036025
+0.0356966
+0.0355006
+0.0354392
+0.035513
+0.0357214
+0.0354821
+0.0352547
+0.0351555
+0.0351733
+0.0351246
+0.0334913
+0.0319248
+0.0304054
+0.0289348
+0.0275442
+0.026263
+0.0251079
+0.0240595
+0.0231702
+0.022377
+0.0215623
+0.0209459
+0.020506
+0.0202887
+0.0203068
+0.0204499
+0.0207981
+0.0213239
+0.0219496
+0.0226723
+0.0232276
+0.023904
+0.0245453
+0.0250319
+0.0252416
+0.0255995
+0.0261182
+0.0267303
+0.0274783
+0.0279541
+0.0276923
+0.0275964
+0.0276455
+0.0278672
+0.0282575
+0.0288064
+0.0294797
+0.0302968
+0.0312464
+0.0323168
+0.0334964
+0.0347681
+0.0361154
+0.0374536
+0.0383097
+0.0392233
+0.0402243
+0.0412819
+0.0423956
+0.0435312
+0.0447219
+0.0459592
+0.0472322
+0.0485678
+0.0498936
+0.0512586
+0.0526793
+0.0541514
+0.0773738
+0.0755287
+0.0737026
+0.0718968
+0.070113
+0.0683529
+0.0666183
+0.0649069
+0.0632243
+0.0615738
+0.0599578
+0.0583793
+0.0568414
+0.0553476
+0.0539014
+0.0525067
+0.0511679
+0.0498894
+0.0485446
+0.0470118
+0.0455329
+0.0441132
+0.0427587
+0.0414757
+0.040271
+0.039152
+0.0381261
+0.0372011
+0.036366
+0.035639
+0.0350341
+0.0345577
+0.0342152
+0.0340107
+0.0339466
+0.0340237
+0.0342411
+0.0339311
+0.0336931
+0.0335949
+0.0336137
+0.0337747
+0.0330384
+0.0314606
+0.0299501
+0.0285217
+0.0271099
+0.0258072
+0.0246307
+0.0235993
+0.0226931
+0.0219675
+0.0213374
+0.0207143
+0.0202881
+0.0200685
+0.0200672
+0.0201856
+0.020517
+0.0209161
+0.0215317
+0.0221007
+0.0226699
+0.0233764
+0.0240508
+0.0248453
+0.0255868
+0.0259566
+0.0264701
+0.0269967
+0.0275676
+0.0278615
+0.0275988
+0.0275026
+0.0275518
+0.0277742
+0.0281658
+0.0287165
+0.0293919
+0.0302113
+0.0311635
+0.0322367
+0.0334192
+0.0346812
+0.0360301
+0.0374587
+0.0387725
+0.0396739
+0.0406638
+0.0417117
+0.0428027
+0.0439391
+0.045119
+0.0463646
+0.0476277
+0.0489527
+0.0503169
+0.0516772
+0.0530868
+0.0545479
+0.0765704
+0.0747055
+0.0728588
+0.0710316
+0.0692255
+0.0674422
+0.0656835
+0.0639471
+0.0622386
+0.0605612
+0.0589174
+0.0573103
+0.055743
+0.0542188
+0.0527417
+0.0513156
+0.0499448
+0.0486342
+0.0473886
+0.0459836
+0.0444705
+0.0430158
+0.0416256
+0.0403066
+0.039066
+0.0379114
+0.036851
+0.0358932
+0.0350445
+0.0342894
+0.0336603
+0.0331642
+0.0328072
+0.0325938
+0.0325269
+0.0326074
+0.0328342
+0.0324538
+0.0322049
+0.032104
+0.0321278
+0.0322963
+0.0326113
+0.0310564
+0.0295353
+0.0280882
+0.0267385
+0.0255057
+0.024342
+0.0232979
+0.0224198
+0.0216861
+0.0211538
+0.0206867
+0.0202814
+0.0200862
+0.0200113
+0.0200722
+0.0202901
+0.0207102
+0.0213318
+0.0217358
+0.0223144
+0.0230317
+0.0237489
+0.0245402
+0.0254472
+0.0261494
+0.0265523
+0.0271176
+0.0276995
+0.0279408
+0.0276789
+0.0275829
+0.027632
+0.0278538
+0.0282443
+0.0287935
+0.0294671
+0.0302845
+0.0312344
+0.0323015
+0.03346
+0.0347182
+0.0360657
+0.0374929
+0.038991
+0.0402315
+0.0412081
+0.0422355
+0.0433168
+0.0444453
+0.045618
+0.0468502
+0.0481092
+0.0494231
+0.0507845
+0.0521733
+0.0535807
+0.0550287
+0.0758219
+0.0739381
+0.0720717
+0.070224
+0.0683966
+0.0665911
+0.0648093
+0.0630488
+0.0613153
+0.0596119
+0.0579413
+0.0563063
+0.0547102
+0.0531565
+0.0516489
+0.0501918
+0.0487895
+0.0474469
+0.0461693
+0.0449622
+0.0434925
+0.042004
+0.0405791
+0.0392249
+0.0379489
+0.0367593
+0.0356647
+0.0346741
+0.0337966
+0.0330302
+0.0323766
+0.0318605
+0.0314887
+0.0312664
+0.0311966
+0.0312805
+0.0314717
+0.0310609
+0.0308008
+0.0306952
+0.0307232
+0.0308993
+0.0312284
+0.0307727
+0.0292369
+0.0277836
+0.0264267
+0.0251875
+0.0240681
+0.0230921
+0.0222628
+0.0216088
+0.0210902
+0.0207747
+0.0204787
+0.0201929
+0.0200265
+0.0200516
+0.0202697
+0.0207073
+0.0211805
+0.0215881
+0.0221706
+0.0228924
+0.0236395
+0.0244095
+0.0253212
+0.0263019
+0.0267804
+0.0273164
+0.0278682
+0.0281462
+0.0279311
+0.0278301
+0.0278788
+0.0280986
+0.0284857
+0.0290154
+0.0296839
+0.0304955
+0.0314391
+0.0324892
+0.0336413
+0.034893
+0.036234
+0.0376548
+0.0391467
+0.0407019
+0.0418464
+0.0428585
+0.0439331
+0.0450473
+0.0462156
+0.0474303
+0.0486761
+0.0499751
+0.0513312
+0.0527294
+0.0541436
+0.0555892
+0.0751253
+0.0732237
+0.0713386
+0.0694714
+0.0676236
+0.0657969
+0.0639931
+0.0622141
+0.0604574
+0.0587291
+0.0570326
+0.0553708
+0.0537469
+0.0521645
+0.0506274
+0.04914
+0.0477068
+0.0463328
+0.0450236
+0.0437849
+0.0426048
+0.0410841
+0.0396262
+0.0382382
+0.0369282
+0.0357045
+0.0345766
+0.0335538
+0.0326463
+0.0318638
+0.0311924
+0.0306564
+0.0302698
+0.0300384
+0.0299658
+0.0300531
+0.030173
+0.0297442
+0.0294725
+0.0293621
+0.0294117
+0.0295956
+0.0299391
+0.0304367
+0.0290495
+0.0276164
+0.0262621
+0.0250265
+0.0239028
+0.0229197
+0.0221106
+0.0214676
+0.0209671
+0.0206038
+0.0204294
+0.0203632
+0.0202443
+0.0202691
+0.0204848
+0.020918
+0.0212122
+0.021656
+0.0222426
+0.0229622
+0.0237071
+0.0244749
+0.0253843
+0.0263626
+0.0269784
+0.0274426
+0.0280198
+0.0282359
+0.0281946
+0.0281382
+0.0282388
+0.0284833
+0.0288652
+0.029388
+0.0300483
+0.0308503
+0.0317834
+0.0328225
+0.0339632
+0.0352035
+0.0365331
+0.0379427
+0.0394237
+0.0409684
+0.0425663
+0.0435828
+0.0446404
+0.0457464
+0.0469079
+0.0480975
+0.0493338
+0.050616
+0.0519589
+0.0533429
+0.0547774
+0.0562111
+0.0744815
+0.072563
+0.0706602
+0.0687747
+0.0669077
+0.0650609
+0.063236
+0.0614351
+0.0596603
+0.0579139
+0.0561946
+0.0545073
+0.0528569
+0.051247
+0.0496816
+0.0481649
+0.0467018
+0.0452974
+0.0439574
+0.0426877
+0.041495
+0.0402625
+0.0387737
+0.0373541
+0.0360119
+0.034756
+0.0335962
+0.0325427
+0.0316062
+0.0307972
+0.0300988
+0.0295429
+0.0291416
+0.0289011
+0.0288257
+0.0289164
+0.0289769
+0.0285302
+0.0282468
+0.0281316
+0.0281868
+0.0284012
+0.028759
+0.0292767
+0.0289235
+0.0275038
+0.026179
+0.0249414
+0.0238388
+0.0228558
+0.0220444
+0.0213884
+0.0208736
+0.0205096
+0.0203515
+0.0203181
+0.0203939
+0.0205905
+0.0209141
+0.0211532
+0.0214686
+0.0219072
+0.0225166
+0.0232392
+0.0239755
+0.024735
+0.0256352
+0.0266043
+0.0272827
+0.0277418
+0.0283302
+0.0284943
+0.0283226
+0.0282664
+0.0283665
+0.0286151
+0.0290274
+0.0295958
+0.0302951
+0.031129
+0.0320829
+0.0331543
+0.0343323
+0.0356061
+0.0369599
+0.0383538
+0.0398195
+0.0413494
+0.0429332
+0.0444034
+0.0454419
+0.0465328
+0.0476724
+0.048854
+0.0500788
+0.0513424
+0.0526668
+0.0540327
+0.0554493
+0.0569048
+0.0738971
+0.0719629
+0.0700439
+0.0681413
+0.0662564
+0.064391
+0.0625466
+0.0607252
+0.058929
+0.0571603
+0.0554217
+0.0537163
+0.0520439
+0.0504081
+0.0488158
+0.0472713
+0.0457797
+0.0443461
+0.0429764
+0.0416769
+0.0404544
+0.0393136
+0.0380051
+0.0365555
+0.0351827
+0.033896
+0.0327056
+0.0316223
+0.0306575
+0.0298227
+0.0291275
+0.0285541
+0.0281386
+0.0278895
+0.0278113
+0.0279054
+0.0279019
+0.0274377
+0.0271429
+0.027023
+0.0270804
+0.0273139
+0.027689
+0.0282263
+0.0289201
+0.0275059
+0.0261813
+0.024963
+0.0238617
+0.0229174
+0.0221311
+0.0214778
+0.0210094
+0.0206477
+0.0204907
+0.0205029
+0.0206112
+0.0208721
+0.0212472
+0.0215903
+0.0219417
+0.022371
+0.0229682
+0.0237159
+0.0244381
+0.0251837
+0.0260684
+0.0269825
+0.0277571
+0.0282084
+0.028781
+0.0288382
+0.0286181
+0.0285625
+0.0286616
+0.0289077
+0.0293018
+0.0298476
+0.0305412
+0.0313686
+0.0323154
+0.0333793
+0.0345496
+0.0358157
+0.037168
+0.0385803
+0.0400564
+0.0415957
+0.0431912
+0.044837
+0.0463333
+0.0474036
+0.0485228
+0.0496889
+0.0509073
+0.0521508
+0.0534552
+0.0548014
+0.0561987
+0.0576453
+0.0733722
+0.0714242
+0.0694907
+0.0675729
+0.0656719
+0.0637893
+0.061927
+0.0600868
+0.0582709
+0.0564816
+0.0547215
+0.0529935
+0.0513009
+0.0496472
+0.0480343
+0.0464639
+0.0449455
+0.0434844
+0.0420867
+0.0407588
+0.0395079
+0.038339
+0.0372488
+0.0358694
+0.0344693
+0.0331549
+0.0319369
+0.0308266
+0.029836
+0.0289776
+0.0282628
+0.0276718
+0.0272429
+0.0269856
+0.0269048
+0.027002
+0.0269623
+0.0264816
+0.0261761
+0.0260517
+0.0261113
+0.0263534
+0.0267419
+0.0272979
+0.0280147
+0.0276754
+0.0263593
+0.0251383
+0.024045
+0.0231082
+0.0223476
+0.0217331
+0.0212893
+0.0209861
+0.0208604
+0.0209148
+0.0210229
+0.0213545
+0.0217462
+0.0221589
+0.0226181
+0.0230348
+0.0236152
+0.0243546
+0.0250842
+0.0258111
+0.026675
+0.027434
+0.0281738
+0.0288344
+0.0290453
+0.0292924
+0.0290762
+0.0290039
+0.0290825
+0.029325
+0.0297181
+0.0302564
+0.0309408
+0.0317578
+0.0326933
+0.0337454
+0.0349034
+0.0361571
+0.037497
+0.0388974
+0.040362
+0.04189
+0.0434747
+0.0451101
+0.046791
+0.0483581
+0.0494557
+0.0506003
+0.051799
+0.0530374
+0.0543205
+0.0556458
+0.0570224
+0.0584486
+0.0729078
+0.0709471
+0.0690003
+0.0670685
+0.065153
+0.0632555
+0.0613774
+0.0595208
+0.0576876
+0.0558801
+0.0541009
+0.0523526
+0.0506385
+0.0489625
+0.0473285
+0.0457411
+0.0442042
+0.0427178
+0.0412941
+0.03994
+0.0386538
+0.037445
+0.0363283
+0.0353061
+0.0338827
+0.0325447
+0.0313029
+0.0301693
+0.0291564
+0.0282773
+0.0275442
+0.0269371
+0.0264963
+0.0262316
+0.0261485
+0.0262485
+0.0261728
+0.0256774
+0.0253621
+0.0252338
+0.0252952
+0.0255451
+0.0259457
+0.0265184
+0.0272557
+0.027989
+0.0266884
+0.0255013
+0.0244243
+0.0235026
+0.0227552
+0.022173
+0.0217382
+0.0214846
+0.0214004
+0.0214681
+0.0216496
+0.0218286
+0.0220117
+0.0223841
+0.0229604
+0.0234989
+0.0241708
+0.0248043
+0.0255851
+0.0263252
+0.0270757
+0.0275374
+0.0281533
+0.0289224
+0.0294656
+0.0297461
+0.0296576
+0.0295726
+0.0296497
+0.0298876
+0.0302826
+0.0308159
+0.0314881
+0.0322912
+0.0332118
+0.0342479
+0.0353894
+0.0366263
+0.0379361
+0.0393215
+0.0407775
+0.0422958
+0.0438659
+0.0454873
+0.0471547
+0.0488635
+0.0504665
+0.0515887
+0.0527649
+0.0539829
+0.0552592
+0.0565625
+0.0579173
+0.059322
+0.0725067
+0.0705349
+0.0685763
+0.0666322
+0.0647039
+0.0627927
+0.0609004
+0.0590288
+0.0571798
+0.0553558
+0.0535592
+0.051793
+0.0500603
+0.0483649
+0.0467106
+0.0451021
+0.0435445
+0.0420433
+0.0406019
+0.0392092
+0.0378917
+0.0366578
+0.0355163
+0.0344764
+0.0334297
+0.0320728
+0.030812
+0.0296596
+0.0286287
+0.0277329
+0.0269848
+0.0263644
+0.0259139
+0.0256432
+0.0255581
+0.0256605
+0.0255216
+0.0250395
+0.0247161
+0.0245844
+0.0246474
+0.0249038
+0.0253146
+0.0259012
+0.0266556
+0.0275171
+0.0271905
+0.0260344
+0.0249831
+0.0240828
+0.0233539
+0.0228073
+0.0223933
+0.022173
+0.0221072
+0.022215
+0.0222917
+0.0222737
+0.0224531
+0.0228183
+0.0233839
+0.0240292
+0.024625
+0.025132
+0.0257781
+0.0263806
+0.026958
+0.027422
+0.0280404
+0.0288125
+0.0297263
+0.030276
+0.0303724
+0.0302895
+0.0303648
+0.0305971
+0.030983
+0.0315168
+0.0321676
+0.0329462
+0.0338489
+0.0348661
+0.0359881
+0.037197
+0.0384845
+0.0398508
+0.0412882
+0.0427895
+0.0443483
+0.0459586
+0.0476153
+0.0493093
+0.05104
+0.0526497
+0.0538028
+0.0549977
+0.0562526
+0.057548
+0.0588801
+0.0602624
+0.0720749
+0.0701819
+0.0682201
+0.0662656
+0.0643262
+0.0624036
+0.0604991
+0.0586146
+0.0567521
+0.0549139
+0.0531024
+0.0513204
+0.0495713
+0.0478585
+0.0461861
+0.0445587
+0.0429813
+0.0414597
+0.0399974
+0.0385827
+0.0372431
+0.035987
+0.0348235
+0.0337622
+0.0328131
+0.0317453
+0.030471
+0.0293052
+0.0282568
+0.0273372
+0.0265668
+0.0259589
+0.0255069
+0.0252319
+0.0251454
+0.0252494
+0.0250348
+0.0245542
+0.0242514
+0.0241172
+0.0241815
+0.0244427
+0.0248611
+0.0254582
+0.0262253
+0.0271005
+0.0278564
+0.0267291
+0.0257062
+0.0248321
+0.0241259
+0.0235972
+0.0232291
+0.023025
+0.0229836
+0.0229473
+0.022899
+0.0229204
+0.0230948
+0.02345
+0.0240007
+0.0244827
+0.0248779
+0.0253799
+0.0260198
+0.0266169
+0.0270169
+0.0274813
+0.0280984
+0.0288689
+0.029781
+0.0308221
+0.0312193
+0.0311416
+0.0312148
+0.0314409
+0.0318165
+0.0323289
+0.0329584
+0.0337188
+0.0346014
+0.0355971
+0.0366967
+0.0378831
+0.0391479
+0.0404919
+0.0419073
+0.0433872
+0.0449252
+0.0465156
+0.0481531
+0.0498332
+0.0515516
+0.0533046
+0.0549084
+0.0560798
+0.0573111
+0.0585893
+0.0599076
+0.0612668
+0.0715308
+0.069623
+0.0677324
+0.0658603
+0.064007
+0.0620892
+0.0601748
+0.0582799
+0.0564063
+0.0545564
+0.0527327
+0.0509378
+0.049175
+0.0474479
+0.0457605
+0.0441174
+0.0425237
+0.0409851
+0.0395052
+0.0380722
+0.0367139
+0.035439
+0.0342569
+0.0331776
+0.0322112
+0.0313683
+0.0302675
+0.0290864
+0.0280231
+0.0270955
+0.0263181
+0.0257043
+0.0252559
+0.0249781
+0.0248907
+0.0249958
+0.0247333
+0.0242467
+0.0239514
+0.0238177
+0.0238828
+0.0241473
+0.0245783
+0.0251821
+0.0259403
+0.0268381
+0.0278641
+0.0275758
+0.0265906
+0.0257466
+0.0250661
+0.0245577
+0.0242042
+0.0240459
+0.0238133
+0.0235478
+0.0234845
+0.0236251
+0.0239206
+0.0241379
+0.0243561
+0.024706
+0.0252391
+0.0258119
+0.0264414
+0.0269227
+0.0272194
+0.0276811
+0.0282993
+0.0290633
+0.0299683
+0.0310019
+0.0318814
+0.0321077
+0.0321787
+0.0323981
+0.0327627
+0.0332605
+0.0338727
+0.034613
+0.0354734
+0.0364452
+0.03752
+0.0386811
+0.0399207
+0.0412395
+0.0426301
+0.0440858
+0.0456002
+0.0471678
+0.0487835
+0.0504425
+0.0521408
+0.0538747
+0.0556408
+0.0572254
+0.0584325
+0.0596867
+0.0609873
+0.0623319
+0.0710501
+0.0691291
+0.0672246
+0.065338
+0.0634694
+0.0616153
+0.0597839
+0.0579775
+0.056144
+0.0542851
+0.0524519
+0.0506471
+0.0488738
+0.0471357
+0.0454367
+0.0437815
+0.042175
+0.0406233
+0.0391296
+0.0376822
+0.0363094
+0.0350198
+0.0338231
+0.0327294
+0.0317494
+0.0308939
+0.0301735
+0.0290251
+0.0279595
+0.0270298
+0.0262504
+0.025635
+0.0251853
+0.0249067
+0.0248191
+0.0249245
+0.0246236
+0.0241349
+0.0238382
+0.0237039
+0.0237693
+0.024035
+0.024468
+0.0250745
+0.0258358
+0.0267372
+0.027773
+0.0285555
+0.0276208
+0.0268093
+0.0261565
+0.0256685
+0.0253305
+0.0250125
+0.0245691
+0.0243119
+0.0242384
+0.0242601
+0.0243362
+0.0245226
+0.024772
+0.025109
+0.0256201
+0.0262849
+0.02688
+0.0273025
+0.0275949
+0.0280504
+0.0286606
+0.0294152
+0.0303097
+0.0313321
+0.0324703
+0.0328763
+0.0332542
+0.0334714
+0.0338245
+0.0343069
+0.0349008
+0.0356197
+0.0364563
+0.0374027
+0.0384507
+0.0395845
+0.0407966
+0.042088
+0.0434514
+0.0448805
+0.046369
+0.0479114
+0.0495028
+0.0511385
+0.0528145
+0.0545269
+0.0562726
+0.0580484
+0.0596133
+0.0608432
+0.0621196
+0.063446
+0.0706342
+0.0687007
+0.0667805
+0.0648769
+0.0629919
+0.0611273
+0.059285
+0.0574666
+0.0556689
+0.0538962
+0.0521554
+0.0504497
+0.0486695
+0.0469238
+0.0452169
+0.0435532
+0.0419381
+0.0403772
+0.0388739
+0.0374167
+0.0360337
+0.0347339
+0.033527
+0.0324233
+0.0314338
+0.0305694
+0.0298412
+0.029129
+0.0280673
+0.0271413
+0.0263652
+0.0257526
+0.025305
+0.0250277
+0.0249405
+0.0250454
+0.0247085
+0.0242215
+0.0239258
+0.023792
+0.0238572
+0.024122
+0.0245534
+0.0251578
+0.0259167
+0.0268154
+0.0278483
+0.0289871
+0.0287765
+0.0280033
+0.027379
+0.0268476
+0.0261706
+0.0256632
+0.0253357
+0.0249933
+0.0248218
+0.024843
+0.0249113
+0.0250934
+0.0253356
+0.0256667
+0.0261669
+0.0268182
+0.0274695
+0.0278499
+0.0281364
+0.0285833
+0.0291823
+0.0299238
+0.0308035
+0.03181
+0.0329317
+0.0337472
+0.0341154
+0.0346182
+0.0349914
+0.0354579
+0.0360328
+0.0367296
+0.0375415
+0.0384611
+0.0394811
+0.0405861
+0.0417692
+0.0430314
+0.0443658
+0.0457663
+0.0472269
+0.0487423
+0.0503074
+0.0519177
+0.0535693
+0.0552584
+0.0569816
+0.058736
+0.0605188
+0.0620555
+0.0633075
+0.0646095
+0.0702745
+0.0683277
+0.0663962
+0.0644812
+0.0625842
+0.0607071
+0.0588516
+0.05702
+0.0552071
+0.0534192
+0.0516623
+0.0499397
+0.0482551
+0.0466125
+0.0450167
+0.0434344
+0.0418147
+0.0402487
+0.0387259
+0.0372658
+0.0358802
+0.0345779
+0.0333687
+0.0322632
+0.0312688
+0.0303998
+0.0296674
+0.029082
+0.0283446
+0.0274279
+0.0266601
+0.0260544
+0.0256121
+0.0253382
+0.0252521
+0.0253557
+0.0249575
+0.0244754
+0.0241829
+0.0240761
+0.0241405
+0.0244022
+0.0248193
+0.0254174
+0.0261811
+0.0270712
+0.0280947
+0.0292239
+0.0300379
+0.0292718
+0.0283341
+0.0275214
+0.0268631
+0.0263709
+0.0260542
+0.0257407
+0.0255742
+0.0255948
+0.0256555
+0.0258325
+0.0260678
+0.026394
+0.0268817
+0.027516
+0.0281917
+0.0285518
+0.0288345
+0.0292708
+0.029856
+0.0305812
+0.0314425
+0.0324292
+0.0335302
+0.0346997
+0.03508
+0.0355554
+0.0361457
+0.0367015
+0.0372572
+0.0379315
+0.0387182
+0.0396105
+0.0406016
+0.0416789
+0.0428318
+0.0440636
+0.0453677
+0.0467382
+0.0481693
+0.0496559
+0.0511931
+0.0527764
+0.0544019
+0.0560659
+0.0577651
+0.0594964
+0.0612571
+0.0630447
+0.0645479
+0.0658254
+0.069978
+0.0680227
+0.0660822
+0.0641578
+0.0622511
+0.0603636
+0.0584972
+0.0566541
+0.0548291
+0.0530284
+0.0512581
+0.0495215
+0.0478221
+0.0461642
+0.0445523
+0.0429916
+0.041488
+0.0400478
+0.0386781
+0.0372308
+0.0358438
+0.0345402
+0.0333297
+0.0322228
+0.0312286
+0.030358
+0.0296242
+0.0290375
+0.028607
+0.0278842
+0.0271293
+0.0265343
+0.026092
+0.0258232
+0.0257387
+0.0258403
+0.0253851
+0.0249112
+0.0246239
+0.024519
+0.0245823
+0.0248393
+0.0252493
+0.0258374
+0.0265936
+0.027486
+0.028504
+0.0296213
+0.0308503
+0.0300579
+0.0291287
+0.0283387
+0.0276999
+0.0272228
+0.0269161
+0.0266477
+0.0264869
+0.0265068
+0.0265305
+0.0267016
+0.0269293
+0.0272462
+0.027724
+0.0283395
+0.0290222
+0.0293969
+0.0296784
+0.0301024
+0.0306718
+0.0313781
+0.0322181
+0.0331818
+0.0342586
+0.035404
+0.0361418
+0.0365999
+0.0371736
+0.0378656
+0.0385538
+0.0392058
+0.0399674
+0.0408325
+0.0417946
+0.0428472
+0.043978
+0.0451785
+0.0464513
+0.0477907
+0.0491913
+0.0506478
+0.0521558
+0.0537108
+0.0553088
+0.0569463
+0.05862
+0.0603267
+0.0620639
+0.063829
+0.0656197
+0.0670907
+0.069749
+0.0677871
+0.0658397
+0.063908
+0.0619936
+0.060098
+0.0582231
+0.056371
+0.0545365
+0.0527259
+0.0509451
+0.0491973
+0.0474864
+0.0458163
+0.0441917
+0.0426179
+0.0411006
+0.0396463
+0.0382622
+0.0369562
+0.0357369
+0.0346134
+0.0334344
+0.0323311
+0.0313403
+0.030473
+0.029742
+0.0291577
+0.0287289
+0.0284557
+0.0277639
+0.0271684
+0.0267314
+0.0264691
+0.0263866
+0.0264858
+0.0259835
+0.0255208
+0.0252404
+0.0251172
+0.0251789
+0.0254299
+0.0258583
+0.0264329
+0.0271724
+0.028047
+0.0290234
+0.0299323
+0.0309698
+0.0309635
+0.0300623
+0.0292975
+0.02868
+0.0282195
+0.0279238
+0.0276986
+0.027544
+0.0275333
+0.0275522
+0.027717
+0.0279365
+0.028242
+0.0287033
+0.0292982
+0.0299901
+0.0303769
+0.0306536
+0.0310665
+0.0316185
+0.0323041
+0.0331207
+0.0340588
+0.0351087
+0.0362273
+0.0372246
+0.0377428
+0.0382994
+0.0389714
+0.0397529
+0.0405585
+0.0412952
+0.042133
+0.043066
+0.0440883
+0.0451936
+0.0463701
+0.0476111
+0.0489188
+0.0502879
+0.0517136
+0.0531914
+0.0547169
+0.0562864
+0.0578963
+0.0595432
+0.0612243
+0.0629367
+0.0646779
+0.0664458
+0.0682382
+0.0695883
+0.0676217
+0.0656694
+0.0637326
+0.0618127
+0.0599114
+0.0580305
+0.056172
+0.0543308
+0.052513
+0.0507247
+0.0489692
+0.04725
+0.0455712
+0.0439376
+0.0423543
+0.0408271
+0.0393627
+0.0379683
+0.0366519
+0.0354221
+0.0342883
+0.0332603
+0.0323482
+0.0315621
+0.030744
+0.0300196
+0.0294408
+0.0290162
+0.0287457
+0.028542
+0.0279552
+0.0275307
+0.0272761
+0.0271961
+0.0272923
+0.026721
+0.0262712
+0.0259989
+0.0258793
+0.0259392
+0.0260976
+0.0262058
+0.0264941
+0.026958
+0.0275884
+0.0283745
+0.0293035
+0.0303625
+0.0315383
+0.0311223
+0.0303842
+0.0297892
+0.0293461
+0.0290619
+0.0288778
+0.0287009
+0.0286868
+0.028705
+0.0288632
+0.0290741
+0.0293678
+0.0298116
+0.0303849
+0.03108
+0.031479
+0.0317461
+0.0321511
+0.0326849
+0.0333485
+0.0341402
+0.035051
+0.036072
+0.0371616
+0.0381345
+0.0389753
+0.0395146
+0.0401663
+0.0409249
+0.0417848
+0.0426941
+0.0435049
+0.0444092
+0.0454012
+0.0464753
+0.0476261
+0.0488417
+0.0501173
+0.0514545
+0.0528488
+0.0542956
+0.055791
+0.0573311
+0.0589124
+0.0605317
+0.062186
+0.0638727
+0.0655891
+0.067333
+0.0684206
+0.0694963
+0.067527
+0.0655719
+0.0636321
+0.0617091
+0.0598045
+0.0579201
+0.056058
+0.0542128
+0.052391
+0.0505984
+0.0488383
+0.0471143
+0.0454305
+0.0437917
+0.0422029
+0.0406701
+0.0391998
+0.0377994
+0.0364768
+0.0352409
+0.0341011
+0.0330673
+0.0321498
+0.0313586
+0.0306852
+0.0301448
+0.0297562
+0.0294626
+0.0291977
+0.0290694
+0.0288871
+0.0284765
+0.0282304
+0.0281532
+0.028205
+0.0275706
+0.0268254
+0.0262424
+0.0258326
+0.0256043
+0.0255623
+0.0256729
+0.0259671
+0.0264402
+0.0270827
+0.027883
+0.0288279
+0.0299037
+0.0310969
+0.0322958
+0.0315851
+0.0310106
+0.0305768
+0.0302954
+0.0301429
+0.0299699
+0.0299565
+0.0299739
+0.0301254
+0.0303275
+0.0306092
+0.0310352
+0.0315862
+0.0322558
+0.0326786
+0.032936
+0.0333356
+0.0338596
+0.0345007
+0.0352664
+0.0361489
+0.0371398
+0.0381989
+0.039146
+0.0401807
+0.0408113
+0.0414426
+0.0421783
+0.0430132
+0.0439415
+0.0449419
+0.0458178
+0.0467799
+0.0478231
+0.0489422
+0.0501321
+0.0513813
+0.0526864
+0.0540489
+0.0554645
+0.0569292
+0.0584393
+0.0599914
+0.0615823
+0.0632092
+0.0648692
+0.0665599
+0.0675773
+0.0682295
+0.0694732
+0.0675034
+0.0655475
+0.0636069
+0.0616831
+0.0597777
+0.0578925
+0.0560295
+0.0541833
+0.0523604
+0.0505667
+0.0488055
+0.0470803
+0.0453953
+0.0437551
+0.0421649
+0.0406307
+0.0391589
+0.037757
+0.0364329
+0.0351955
+0.0340541
+0.0330189
+0.0320999
+0.0313075
+0.030633
+0.0300917
+0.0297024
+0.0294713
+0.029402
+0.0294958
+0.0296972
+0.0295547
+0.0291504
+0.0285927
+0.0281465
+0.0272413
+0.0264868
+0.0258962
+0.0254808
+0.0252493
+0.0252068
+0.0253188
+0.0256171
+0.0260965
+0.0267473
+0.0275574
+0.0285131
+0.0296004
+0.0308053
+0.0321146
+0.0328655
+0.0323089
+0.0318926
+0.0316229
+0.0315036
+0.0313408
+0.031328
+0.0313446
+0.0314896
+0.0316664
+0.0319363
+0.0323463
+0.0328754
+0.0335334
+0.0339676
+0.0342153
+0.0346002
+0.0351178
+0.0357431
+0.0364828
+0.0373366
+0.0382967
+0.0393309
+0.0402514
+0.0412584
+0.042182
+0.0427931
+0.043506
+0.0443158
+0.0452174
+0.046205
+0.0472556
+0.0482188
+0.0492315
+0.0503193
+0.0514773
+0.0527011
+0.0539792
+0.0553098
+0.0566939
+0.0581276
+0.0596074
+0.0611298
+0.0626919
+0.0642906
+0.0659234
+0.0668138
+0.0674023
+0.0680562
+0.0695193
+0.0675507
+0.0655963
+0.0636572
+0.061735
+0.0598312
+0.0579477
+0.0560865
+0.0542423
+0.0524214
+0.0506299
+0.048871
+0.0471482
+0.0454657
+0.0438281
+0.0422407
+0.0407093
+0.0392405
+0.0378416
+0.0365206
+0.0352862
+0.0341479
+0.0331155
+0.0321962
+0.0314012
+0.0307373
+0.0301978
+0.02981
+0.0295797
+0.0295107
+0.029604
+0.0298583
+0.0290614
+0.0283374
+0.0277634
+0.0273532
+0.027079
+0.0263198
+0.0257254
+0.0253072
+0.0250741
+0.0250313
+0.0251514
+0.0254516
+0.0259341
+0.0265888
+0.0274036
+0.0283645
+0.0294572
+0.0306677
+0.0319719
+0.0333537
+0.0336996
+0.0333007
+0.0330425
+0.0329283
+0.0328008
+0.0327886
+0.0328
+0.0329385
+0.0330886
+0.033347
+0.033746
+0.0342562
+0.034894
+0.0353455
+0.0355836
+0.0359539
+0.0364523
+0.0370551
+0.0377691
+0.0385944
+0.039524
+0.0405358
+0.0414295
+0.0422743
+0.0430235
+0.0438694
+0.0448065
+0.0456864
+0.0465614
+0.0475212
+0.0485435
+0.04964
+0.0506954
+0.0517525
+0.0528791
+0.0540712
+0.0553243
+0.0566274
+0.0579801
+0.0593827
+0.060832
+0.0623245
+0.0638573
+0.0654276
+0.0661813
+0.0667088
+0.0672982
+0.0679531
+0.0696342
+0.0676691
+0.0657181
+0.0637828
+0.0618644
+0.0599648
+0.0580856
+0.056229
+0.0543895
+0.0525738
+0.0507876
+0.0490343
+0.0473175
+0.0456412
+0.0440102
+0.0424296
+0.0409052
+0.039442
+0.0380463
+0.0367283
+0.0354967
+0.0343607
+0.0333301
+0.0324151
+0.0316255
+0.0309702
+0.0304351
+0.0300503
+0.0298219
+0.0297534
+0.0298461
+0.029282
+0.0283999
+0.0276542
+0.0270656
+0.0266447
+0.026397
+0.0262971
+0.0257115
+0.0252931
+0.0250599
+0.025017
+0.0251449
+0.0254452
+0.0259278
+0.0265827
+0.0273976
+0.0283587
+0.0294517
+0.0306624
+0.0319607
+0.033343
+0.0348084
+0.0347898
+0.0345427
+0.0344335
+0.0343387
+0.034327
+0.0343273
+0.0344597
+0.0345912
+0.0348384
+0.0352205
+0.0357182
+0.0363303
+0.0368023
+0.0370311
+0.037387
+0.0378665
+0.0384472
+0.0391358
+0.0399328
+0.0406553
+0.0411159
+0.0416867
+0.0423632
+0.0431405
+0.0440132
+0.0449757
+0.0460202
+0.0471281
+0.04831
+0.0495606
+0.0508748
+0.0520996
+0.0532372
+0.0543331
+0.0554939
+0.0567156
+0.0579943
+0.0593193
+0.060691
+0.0621097
+0.0635723
+0.0650757
+0.0656803
+0.0661479
+0.0666598
+0.0672358
+0.0678777
+0.0698178
+0.0678579
+0.0659126
+0.0639831
+0.062071
+0.0601778
+0.0583055
+0.0564502
+0.0546154
+0.0528077
+0.05103
+0.0492855
+0.047578
+0.0459116
+0.0442883
+0.0427143
+0.0411966
+0.0397418
+0.038357
+0.0370501
+0.0358295
+0.0347044
+0.0336844
+0.0327792
+0.0319986
+0.0313511
+0.0308226
+0.0304427
+0.0302173
+0.0301497
+0.0298137
+0.0287725
+0.0278649
+0.0271045
+0.0265037
+0.0260738
+0.0258231
+0.0257533
+0.0258373
+0.0254681
+0.0252365
+0.025194
+0.0253209
+0.0256192
+0.0260986
+0.0267493
+0.0275593
+0.0285149
+0.0296021
+0.030807
+0.0320994
+0.033476
+0.0349358
+0.03635
+0.0361136
+0.0360092
+0.0359371
+0.0359259
+0.0359233
+0.0360499
+0.0361641
+0.0364007
+0.0367665
+0.0370389
+0.0370579
+0.0372061
+0.0374587
+0.0378352
+0.0383333
+0.0388401
+0.0393406
+0.0399401
+0.0406194
+0.0411334
+0.0417562
+0.042483
+0.0432649
+0.0441351
+0.045095
+0.0461391
+0.0472616
+0.0484402
+0.0496876
+0.0509985
+0.0523683
+0.0537925
+0.0552668
+0.0567245
+0.0580857
+0.0594039
+0.0607051
+0.062049
+0.0634374
+0.06487
+0.0652643
+0.0656335
+0.0660734
+0.0665824
+0.067159
+0.0677976
+0.0700694
+0.0681167
+0.066179
+0.0642575
+0.0623538
+0.0604675
+0.0585948
+0.0567447
+0.0549197
+0.0531224
+0.0513556
+0.0496226
+0.0479271
+0.0462732
+0.0446631
+0.0431027
+0.0415993
+0.040159
+0.0387891
+0.0374972
+0.0362917
+0.0351814
+0.0341756
+0.0332838
+0.0325154
+0.0318784
+0.0313587
+0.0309854
+0.0307639
+0.0306328
+0.0294678
+0.028414
+0.0274946
+0.0267236
+0.0261141
+0.0256776
+0.025423
+0.0253522
+0.0254374
+0.0257097
+0.0256001
+0.0255582
+0.0256833
+0.0259774
+0.0264503
+0.0270926
+0.0278926
+0.0288372
+0.0299127
+0.0311055
+0.032386
+0.0337509
+0.0351994
+0.0367214
+0.0377463
+0.0376464
+0.0375929
+0.0375822
+0.0375794
+0.0376983
+0.0374551
+0.0370877
+0.0368471
+0.0367358
+0.036755
+0.0369044
+0.0371591
+0.0375385
+0.0380406
+0.0386604
+0.0392945
+0.0398286
+0.0404327
+0.0411298
+0.0417553
+0.042482
+0.0433075
+0.0442262
+0.0452324
+0.0463205
+0.0474764
+0.0486623
+0.0499077
+0.0512157
+0.0525799
+0.0539984
+0.0554673
+0.0569825
+0.0585405
+0.0601011
+0.0615437
+0.0630293
+0.0645551
+0.0649479
+0.0652311
+0.0655863
+0.0660124
+0.0665079
+0.0670714
+0.0677011
+0.0703883
+0.0684447
+0.0665166
+0.064605
+0.0627045
+0.0608216
+0.05896
+0.0571218
+0.0553092
+0.0535249
+0.0517719
+0.0500533
+0.0483729
+0.0467348
+0.0451412
+0.0435979
+0.0421121
+0.0406901
+0.0393387
+0.0380654
+0.0368785
+0.0357864
+0.0347981
+0.0339226
+0.033169
+0.0325448
+0.032036
+0.0316707
+0.031454
+0.0304543
+0.0292823
+0.0282215
+0.0272956
+0.0265188
+0.0259045
+0.0254644
+0.0252077
+0.0251362
+0.0252222
+0.0254968
+0.0259541
+0.0261018
+0.0262243
+0.0265124
+0.0269759
+0.027606
+0.0283915
+0.0293201
+0.0303785
+0.0315537
+0.0328167
+0.0341644
+0.035596
+0.0371018
+0.0386731
+0.0393376
+0.039301
+0.0391047
+0.0383887
+0.0377771
+0.0372844
+0.0369153
+0.0366735
+0.0365617
+0.036581
+0.0367311
+0.036987
+0.0373682
+0.0378724
+0.038495
+0.039126
+0.0396681
+0.0402746
+0.0409743
+0.0417699
+0.0425939
+0.0434173
+0.0443337
+0.0453375
+0.0464231
+0.0475832
+0.0488091
+0.0501008
+0.0514534
+0.0528622
+0.0542823
+0.0557469
+0.0572579
+0.0588115
+0.0604018
+0.0620287
+0.0636759
+0.0647107
+0.0649211
+0.0652044
+0.0655598
+0.0659861
+0.0664818
+0.0670455
+0.0676754
+0.0707736
+0.0688409
+0.0669204
+0.065012
+0.063122
+0.061252
+0.0594038
+0.0575798
+0.0557821
+0.0540135
+0.0522768
+0.0505754
+0.0489129
+0.0472935
+0.0457194
+0.0441963
+0.0427313
+0.0413306
+0.0400008
+0.0387493
+0.037584
+0.036513
+0.0355449
+0.0346883
+0.0339517
+0.0333421
+0.0328457
+0.0324894
+0.0316832
+0.0304151
+0.029256
+0.0281983
+0.0272717
+0.0264942
+0.0258793
+0.0254387
+0.0251818
+0.0251102
+0.0251963
+0.0254712
+0.0259289
+0.02656
+0.0269332
+0.0272138
+0.0276655
+0.0282802
+0.0290475
+0.0299557
+0.0309924
+0.0321452
+0.0333859
+0.0347115
+0.0361214
+0.0376062
+0.0391573
+0.0405546
+0.0397079
+0.0389662
+0.0383312
+0.0377352
+0.0372419
+0.0368724
+0.0366304
+0.0365184
+0.0365377
+0.036688
+0.0369442
+0.0373258
+0.0378307
+0.0384489
+0.0390619
+0.0396282
+0.0402353
+0.0409357
+0.041732
+0.0426261
+0.043612
+0.0445488
+0.0455479
+0.0466285
+0.0477836
+0.0490045
+0.0502912
+0.0516388
+0.0530427
+0.0544985
+0.0560022
+0.05755
+0.0591384
+0.0607313
+0.0623525
+0.0640076
+0.064758
+0.0649682
+0.0652514
+0.0656065
+0.0660324
+0.0665278
+0.0670911
+0.0677206
+0.0712234
+0.0692954
+0.067383
+0.0654881
+0.0636122
+0.061757
+0.0599245
+0.0581168
+0.0563363
+0.0545856
+0.0528677
+0.0511859
+0.049544
+0.0479459
+0.0463939
+0.0448937
+0.0434522
+0.0420755
+0.04077
+0.0395429
+0.0384016
+0.0373541
+0.0364084
+0.0355726
+0.0348547
+0.0342612
+0.0337782
+0.0331453
+0.0317846
+0.0305207
+0.029366
+0.0283247
+0.0274023
+0.0266286
+0.0260169
+0.0255788
+0.0253232
+0.0252558
+0.0253583
+0.0256314
+0.0260863
+0.0267137
+0.0275017
+0.028069
+0.0285072
+0.0291041
+0.0298503
+0.0307347
+0.031746
+0.0328724
+0.0340866
+0.035386
+0.03677
+0.0382296
+0.0397564
+0.040377
+0.0395265
+0.0387813
+0.0381474
+0.0376069
+0.0371869
+0.0368924
+0.0367059
+0.0365942
+0.0366134
+0.0367634
+0.0370191
+0.0374
+0.0379038
+0.0385085
+0.0391205
+0.0397093
+0.0403152
+0.0410142
+0.041809
+0.0427015
+0.0436857
+0.0447556
+0.045862
+0.0469354
+0.0480832
+0.0492966
+0.0505759
+0.0519161
+0.0533127
+0.0547613
+0.056258
+0.0577989
+0.0593807
+0.0610002
+0.0626544
+0.0643406
+0.0648115
+0.0650216
+0.0653046
+0.0656594
+0.066085
+0.06658
+0.0671428
+0.0677719
+0.0717256
+0.069811
+0.0679132
+0.0660335
+0.0641735
+0.0623351
+0.0605201
+0.0587307
+0.0569693
+0.0552387
+0.0535418
+0.0518819
+0.0502626
+0.0486882
+0.0471606
+0.0456856
+0.0442699
+0.0429194
+0.0416404
+0.0404397
+0.0393245
+0.0383022
+0.0373805
+0.0365669
+0.0358689
+0.0352892
+0.0348203
+0.0333863
+0.0320358
+0.0307822
+0.0296377
+0.0286063
+0.0276933
+0.026928
+0.0263232
+0.0258903
+0.0256378
+0.0255712
+0.0256727
+0.0259425
+0.0263921
+0.0270123
+0.0277919
+0.0287178
+0.0294879
+0.0300654
+0.0307882
+0.0316465
+0.0326295
+0.0337243
+0.0349109
+0.0361807
+0.0375355
+0.0389664
+0.0404654
+0.0403121
+0.0394605
+0.0387142
+0.0380789
+0.0375372
+0.0371163
+0.0368213
+0.0366549
+0.0366192
+0.0367143
+0.0369393
+0.0372101
+0.0375891
+0.0380904
+0.0386921
+0.0393013
+0.0399107
+0.0405136
+0.0412092
+0.0420003
+0.0428888
+0.0438689
+0.0449344
+0.0460795
+0.047243
+0.048455
+0.0496837
+0.0509533
+0.0522838
+0.0536708
+0.05511
+0.0565975
+0.0581294
+0.0597024
+0.0613134
+0.0629594
+0.0646377
+0.0649351
+0.0651448
+0.0654272
+0.0657814
+0.0662062
+0.0667003
+0.0672621
+0.0678901
+0.0722903
+0.0703911
+0.0685093
+0.0666465
+0.0648041
+0.062984
+0.0611883
+0.059419
+0.0576787
+0.05597
+0.0542959
+0.0526598
+0.0510653
+0.0495163
+0.0480151
+0.0465672
+0.0451791
+0.0438566
+0.0426058
+0.0414331
+0.0403453
+0.0393495
+0.0384529
+0.0376625
+0.0369852
+0.0364127
+0.0351878
+0.033768
+0.0324334
+0.0311958
+0.030067
+0.0290509
+0.0281523
+0.0273998
+0.0268057
+0.0263806
+0.0261329
+0.0260676
+0.0261671
+0.0264319
+0.0268733
+0.0274827
+0.0282493
+0.0291606
+0.0302037
+0.0311406
+0.0318339
+0.0326597
+0.0336082
+0.0346694
+0.0358332
+0.03708
+0.0384012
+0.0397991
+0.0410515
+0.0401652
+0.039381
+0.038705
+0.0381223
+0.0375819
+0.0371615
+0.0368668
+0.0367007
+0.036665
+0.03676
+0.0369847
+0.0373369
+0.0377932
+0.0383162
+0.0389436
+0.0394704
+0.0400296
+0.040665
+0.0413523
+0.0421424
+0.0430296
+0.0440073
+0.0450695
+0.0462113
+0.0474268
+0.0487105
+0.0500097
+0.0513436
+0.052729
+0.0541153
+0.055543
+0.0570191
+0.0585401
+0.0601023
+0.0617029
+0.0633387
+0.0649932
+0.0651291
+0.0653382
+0.0656197
+0.0659729
+0.0663965
+0.0668892
+0.0674469
+0.0680322
+0.0729165
+0.071034
+0.0691698
+0.0673252
+0.0655019
+0.0637018
+0.0619268
+0.0601793
+0.0584616
+0.0567765
+0.0551269
+0.0535162
+0.0519479
+0.0504261
+0.0489528
+0.0475334
+0.0461744
+0.0448813
+0.0436598
+0.0425162
+0.0414568
+0.0404884
+0.0396176
+0.0388509
+0.0381906
+0.0371557
+0.0356849
+0.0342856
+0.0329721
+0.0317554
+0.0306473
+0.029651
+0.0287712
+0.0280353
+0.027455
+0.0270401
+0.0267985
+0.0267348
+0.0268318
+0.0270901
+0.0275209
+0.0281163
+0.0288661
+0.0297586
+0.0307814
+0.0319192
+0.032979
+0.0337768
+0.0346948
+0.0357237
+0.0368543
+0.0380676
+0.0393556
+0.0407208
+0.0408924
+0.0400026
+0.0392151
+0.0385363
+0.0379718
+0.0375269
+0.0372017
+0.0369827
+0.0368768
+0.0368412
+0.0369358
+0.0371595
+0.03751
+0.0379642
+0.0384848
+0.0391096
+0.0396341
+0.0401911
+0.0408467
+0.041531
+0.0423177
+0.0432013
+0.0441752
+0.0452335
+0.0463712
+0.0475826
+0.0488623
+0.050205
+0.0516054
+0.0530444
+0.0545049
+0.0559798
+0.0575003
+0.0590292
+0.0605789
+0.0621671
+0.0637911
+0.0652052
+0.0653406
+0.0655473
+0.0657997
+0.0661238
+0.0665184
+0.0669695
+0.0674879
+0.0680728
+0.0736025
+0.0717381
+0.0698926
+0.0680676
+0.0662648
+0.064486
+0.0627332
+0.0610088
+0.0593151
+0.0576549
+0.0560312
+0.0544473
+0.0529066
+0.0514132
+0.049969
+0.0485793
+0.0472504
+0.0459875
+0.0447962
+0.0436824
+0.042652
+0.0417113
+0.0408666
+0.0401238
+0.0392696
+0.0377541
+0.0363076
+0.0349333
+0.033645
+0.0324536
+0.0313701
+0.030394
+0.0295363
+0.0288199
+0.0282555
+0.0278526
+0.027618
+0.0275561
+0.0276499
+0.0279006
+0.0283191
+0.028898
+0.029628
+0.0304982
+0.031497
+0.0326126
+0.0338194
+0.0349955
+0.0358823
+0.0368781
+0.0379743
+0.039153
+0.0404064
+0.0417373
+0.0408504
+0.0399596
+0.0391713
+0.0384916
+0.0379265
+0.0374811
+0.0371555
+0.0369362
+0.036846
+0.036886
+0.0370484
+0.0372831
+0.0376325
+0.0381048
+0.0386837
+0.0393481
+0.0399176
+0.0404707
+0.0411331
+0.0418238
+0.0426051
+0.0434829
+0.0444506
+0.0455025
+0.0466336
+0.0478384
+0.0491114
+0.0504474
+0.0518417
+0.0532891
+0.0547716
+0.0562981
+0.0578674
+0.0594568
+0.0610479
+0.0626753
+0.0643049
+0.0653661
+0.0654728
+0.0656524
+0.0659045
+0.0662281
+0.0666222
+0.0670823
+0.0675998
+0.0681838
+0.0743469
+0.0725016
+0.070676
+0.0688718
+0.0670906
+0.0653342
+0.0636048
+0.0619047
+0.0602362
+0.0586022
+0.0570055
+0.0554493
+0.0539373
+0.0524732
+0.051059
+0.0496998
+0.0484017
+0.0471696
+0.046009
+0.0449252
+0.043924
+0.0430111
+0.0421924
+0.0414693
+0.0399566
+0.0384681
+0.0370495
+0.0357038
+0.0344443
+0.0332815
+0.0322086
+0.0312472
+0.0304135
+0.0297183
+0.0291713
+0.0287812
+0.0285542
+0.0284944
+0.028589
+0.0288316
+0.0292368
+0.0297979
+0.0305063
+0.0313522
+0.0323246
+0.0334125
+0.0346051
+0.0358869
+0.0371612
+0.0381236
+0.039185
+0.0403283
+0.0415463
+0.0419106
+0.0409257
+0.0400367
+0.0392499
+0.0385716
+0.0380076
+0.0375632
+0.0372383
+0.0370195
+0.0369296
+0.0369694
+0.0371315
+0.0373657
+0.0377143
+0.0381856
+0.0387632
+0.0394263
+0.0400652
+0.0406848
+0.041411
+0.0422283
+0.0430023
+0.0438721
+0.0448315
+0.0458746
+0.0469968
+0.0481925
+0.0494564
+0.0507833
+0.0521686
+0.0536076
+0.0550958
+0.0566158
+0.0581764
+0.0597766
+0.0614133
+0.0630836
+0.064772
+0.0655407
+0.0656472
+0.0658264
+0.0660777
+0.0664
+0.0667792
+0.0672277
+0.067744
+0.0683268
+0.0751477
+0.0733226
+0.071518
+0.0697355
+0.0679769
+0.0662441
+0.0645391
+0.0628642
+0.0612219
+0.0596149
+0.058046
+0.0565186
+0.0550359
+0.0536018
+0.0522182
+0.05089
+0.049623
+0.0484221
+0.0472921
+0.0462384
+0.0452663
+0.0443811
+0.0435881
+0.0422661
+0.0407443
+0.0392857
+0.0378976
+0.0365882
+0.0353601
+0.0342079
+0.0331599
+0.032227
+0.0314193
+0.0307468
+0.0302184
+0.029842
+0.0296232
+0.0295655
+0.0296606
+0.0298944
+0.0302854
+0.0308274
+0.0315128
+0.0323323
+0.033276
+0.0343339
+0.0354955
+0.0367511
+0.0380914
+0.0394515
+0.040478
+0.0415858
+0.042768
+0.0420981
+0.0411178
+0.040233
+0.0394501
+0.0387753
+0.0382144
+0.0377724
+0.0374493
+0.0372317
+0.0371423
+0.037182
+0.0373431
+0.037576
+0.0379226
+0.0383914
+0.038966
+0.0396256
+0.0403305
+0.040946
+0.0416678
+0.0424903
+0.0434079
+0.0443663
+0.0453151
+0.0463474
+0.0474584
+0.0486428
+0.0498953
+0.0512109
+0.0525848
+0.0540127
+0.0554904
+0.0570083
+0.0585585
+0.0601486
+0.0617754
+0.0634362
+0.0651283
+0.0657879
+0.0658889
+0.0660534
+0.06629
+0.0665978
+0.0669758
+0.067423
+0.0679379
+0.068519
+0.0760033
+0.0741992
+0.0724165
+0.0706567
+0.0689216
+0.0672131
+0.0655333
+0.0638845
+0.0622691
+0.0606898
+0.0591495
+0.0576513
+0.0561985
+0.0547949
+0.0534421
+0.0521451
+0.0509094
+0.0497395
+0.0486401
+0.0476163
+0.0466728
+0.0458148
+0.0446556
+0.0431068
+0.0416157
+0.0401887
+0.038833
+0.0375562
+0.0363616
+0.0352416
+0.0342252
+0.0333221
+0.0325416
+0.0318928
+0.0313838
+0.0310214
+0.030811
+0.0307555
+0.0308484
+0.0310734
+0.0314497
+0.031972
+0.0326333
+0.0334253
+0.0343391
+0.0353651
+0.0364939
+0.0377163
+0.0390235
+0.0403892
+0.0418204
+0.0429162
+0.0434548
+0.0423982
+0.041425
+0.0405469
+0.0397702
+0.0391009
+0.0385447
+0.0381065
+0.0377864
+0.0375707
+0.0374821
+0.0375214
+0.0376811
+0.0379119
+0.0382555
+0.0387202
+0.03929
+0.0399443
+0.0407046
+0.0413219
+0.0420372
+0.0428527
+0.0437627
+0.0447615
+0.0458433
+0.0469178
+0.0480157
+0.0491866
+0.0504256
+0.0517277
+0.0530883
+0.054503
+0.0559677
+0.0574754
+0.0590134
+0.0605915
+0.0622067
+0.0638563
+0.0655375
+0.0660596
+0.0661512
+0.0663151
+0.0665507
+0.0668573
+0.0672339
+0.0676794
+0.0681924
+0.0687713
+0.0769117
+0.0751295
+0.0733693
+0.071633
+0.0699221
+0.0682387
+0.0665848
+0.0649627
+0.0633748
+0.0618237
+0.0603123
+0.0588437
+0.0574212
+0.0560481
+0.0547264
+0.0534605
+0.0522559
+0.0511168
+0.0500478
+0.0490533
+0.048138
+0.0471276
+0.0455575
+0.0440405
+0.0425821
+0.0411886
+0.0398669
+0.0386243
+0.037464
+0.0363779
+0.0353942
+0.0345217
+0.033769
+0.0331442
+0.0326547
+0.0323066
+0.0321046
+0.0320513
+0.0321402
+0.0323562
+0.0327177
+0.0332201
+0.033857
+0.0346211
+0.0355041
+0.0364974
+0.0375922
+0.03878
+0.0400525
+0.0413845
+0.0427823
+0.0442445
+0.0437118
+0.0427431
+0.0418448
+0.0409757
+0.0402073
+0.0395454
+0.0389955
+0.0385625
+0.0382461
+0.0380331
+0.0379455
+0.0379844
+0.0381421
+0.0383701
+0.0387097
+0.039169
+0.0397323
+0.0403795
+0.0410674
+0.041657
+0.0423447
+0.0431329
+0.044016
+0.0449887
+0.046045
+0.0471679
+0.0483608
+0.0496217
+0.050945
+0.0523233
+0.0536765
+0.0550761
+0.056526
+0.0580211
+0.0595454
+0.0611098
+0.0627117
+0.0643483
+0.066017
+0.0663936
+0.0664847
+0.0666478
+0.0668822
+0.0671873
+0.0675621
+0.0680054
+0.0685154
+0.0690703
+0.0778712
+0.0761115
+0.0743746
+0.0726622
+0.0709762
+0.0693183
+0.0676908
+0.0660959
+0.0645358
+0.0630134
+0.0615312
+0.0600924
+0.0587001
+0.0573577
+0.0560668
+0.054832
+0.0536582
+0.0525495
+0.0515101
+0.0505445
+0.0496567
+0.0480831
+0.0465452
+0.0450614
+0.0436371
+0.0422784
+0.0409919
+0.0397844
+0.0386593
+0.0376077
+0.036657
+0.0358153
+0.0350903
+0.0344894
+0.0340193
+0.0336853
+0.0334916
+0.0334406
+0.0335255
+0.0337326
+0.0340795
+0.0345621
+0.0351748
+0.0359108
+0.0367628
+0.037723
+0.0387832
+0.0399356
+0.0411724
+0.0424695
+0.0438328
+0.0450648
+0.0440162
+0.0430512
+0.042178
+0.0413889
+0.0406968
+0.0401048
+0.0395627
+0.0391359
+0.0388242
+0.0386144
+0.0385281
+0.0385664
+0.0387217
+0.0389464
+0.0392809
+0.0397337
+0.0402891
+0.0409137
+0.0414048
+0.0419898
+0.0426722
+0.0434544
+0.0443312
+0.0452971
+0.0463464
+0.0474621
+0.0486478
+0.0499015
+0.0512182
+0.0525932
+0.0540221
+0.0555007
+0.057025
+0.0585885
+0.0601525
+0.0617015
+0.0632884
+0.0649105
+0.0665652
+0.0667978
+0.0668884
+0.0670504
+0.0672733
+0.0675628
+0.0679202
+0.0683396
+0.0688263
+0.0693787
+0.0788799
+0.0771431
+0.07543
+0.0737422
+0.0720814
+0.0704496
+0.0688488
+0.0672813
+0.0657494
+0.0642557
+0.0628029
+0.0613939
+0.0600318
+0.0587199
+0.0574596
+0.0562553
+0.0551118
+0.0540329
+0.0530227
+0.0520851
+0.0506722
+0.0491177
+0.0476132
+0.0461637
+0.0447746
+0.0434515
+0.0422007
+0.0410288
+0.0399389
+0.038922
+0.0380042
+0.0371929
+0.0364953
+0.035918
+0.0354668
+0.0351466
+0.0349609
+0.0349121
+0.0349932
+0.0351917
+0.0355243
+0.0359876
+0.0365763
+0.0372847
+0.038106
+0.0390332
+0.0400588
+0.0411755
+0.0423761
+0.0436376
+0.0449655
+0.0454602
+0.0444186
+0.0434625
+0.0425978
+0.0418166
+0.0411316
+0.0405461
+0.0400564
+0.0396817
+0.0394253
+0.0392895
+0.0392246
+0.0392622
+0.0394148
+0.0396355
+0.0399643
+0.0404094
+0.0409556
+0.0413475
+0.0418336
+0.0424273
+0.0431087
+0.0438831
+0.0447515
+0.0457085
+0.0467486
+0.047855
+0.0490311
+0.0502752
+0.0515824
+0.052948
+0.0543676
+0.055837
+0.0573525
+0.0589094
+0.0605029
+0.0621329
+0.0637964
+0.0654909
+0.0671587
+0.0671774
+0.0672675
+0.0674287
+0.0676605
+0.0679551
+0.0683041
+0.0687212
+0.0692051
+0.0697545
+0.0799359
+0.0782226
+0.0765337
+0.0748707
+0.0732355
+0.07163
+0.0700562
+0.0685163
+0.0670127
+0.0655478
+0.0641242
+0.0627449
+0.0614128
+0.060131
+0.0589009
+0.0577267
+0.0566129
+0.0555632
+0.0545813
+0.053315
+0.0517478
+0.0502266
+0.0487563
+0.0473419
+0.0459883
+0.0447012
+0.0434863
+0.04235
+0.0412953
+0.0403125
+0.0394271
+0.0386457
+0.0379748
+0.0374203
+0.0369874
+0.0366805
+0.0365027
+0.0364559
+0.0365334
+0.0367235
+0.0370424
+0.0374869
+0.0380525
+0.0387339
+0.0395251
+0.0404197
+0.0414109
+0.0424921
+0.0436566
+0.0448823
+0.0461744
+0.0459544
+0.0449243
+0.0439792
+0.0431249
+0.0423534
+0.04167
+0.041077
+0.0405936
+0.0402239
+0.0399711
+0.0398371
+0.0398015
+0.039885
+0.0400883
+0.0403341
+0.04068
+0.0411399
+0.041518
+0.0418904
+0.0423702
+0.0429565
+0.043645
+0.0444159
+0.045274
+0.0462202
+0.047249
+0.0483439
+0.0495085
+0.0507409
+0.0520364
+0.0533903
+0.0547985
+0.0562567
+0.0577612
+0.0593073
+0.0608904
+0.0625103
+0.064164
+0.0658491
+0.0675632
+0.0676212
+0.0677107
+0.0678708
+0.0681011
+0.0684008
+0.0687557
+0.0691648
+0.0696401
+0.0701807
+0.0810374
+0.0793479
+0.0776834
+0.0760456
+0.0744362
+0.0728572
+0.0713105
+0.0697983
+0.0683228
+0.0668866
+0.0654922
+0.0641423
+0.0628398
+0.0615877
+0.0603873
+0.0592426
+0.0581578
+0.0571365
+0.0560027
+0.0544265
+0.0528923
+0.0514049
+0.0499694
+0.0485903
+0.0472725
+0.0460212
+0.0448422
+0.0437411
+0.0427209
+0.0417717
+0.0409179
+0.0401656
+0.0395205
+0.0389879
+0.0385727
+0.0382784
+0.0381081
+0.0380633
+0.0381372
+0.0383194
+0.0386252
+0.0390516
+0.0395948
+0.0402501
+0.0410121
+0.0418749
+0.0428326
+0.0438787
+0.0450073
+0.0461974
+0.0473617
+0.0463022
+0.0453239
+0.0444322
+0.0436142
+0.0428894
+0.0422658
+0.0417162
+0.0412404
+0.0408765
+0.0406277
+0.0404959
+0.0404609
+0.0405431
+0.0407315
+0.0409623
+0.0413029
+0.0417559
+0.0421588
+0.0425392
+0.0430118
+0.0435894
+0.0442681
+0.0450432
+0.0458953
+0.0468289
+0.0478446
+0.0489262
+0.0500772
+0.051296
+0.0525778
+0.0539181
+0.0553128
+0.0567578
+0.0582494
+0.0597829
+0.0613537
+0.0629617
+0.0646038
+0.0662777
+0.067981
+0.0681325
+0.0682213
+0.0683803
+0.0686088
+0.068895
+0.0692337
+0.0696397
+0.0701051
+0.0706085
+0.0821825
+0.080517
+0.0788772
+0.0772647
+0.0756813
+0.0741288
+0.0726092
+0.0711246
+0.0696772
+0.0682695
+0.0669039
+0.0655831
+0.0643098
+0.0630869
+0.0619155
+0.0607996
+0.0597431
+0.0587309
+0.057146
+0.0556021
+0.0541006
+0.0526474
+0.0512467
+0.0499029
+0.0486206
+0.047405
+0.0462612
+0.0451948
+0.0442092
+0.0432926
+0.0424694
+0.041745
+0.0411247
+0.0406132
+0.0402147
+0.0399326
+0.0397694
+0.0397264
+0.039792
+0.0399666
+0.0402599
+0.0406692
+0.0411911
+0.0418214
+0.0425553
+0.0433874
+0.0443124
+0.0453244
+0.0464178
+0.047577
+0.0477947
+0.046745
+0.0457762
+0.0448934
+0.0440943
+0.0433774
+0.0427609
+0.0422492
+0.041846
+0.0415545
+0.0413683
+0.0412456
+0.0412099
+0.0412906
+0.0414695
+0.0416962
+0.0420309
+0.0424762
+0.0428859
+0.0432893
+0.0437537
+0.0443217
+0.0449894
+0.0457522
+0.0465974
+0.0475172
+0.0485185
+0.0495965
+0.0507342
+0.0519376
+0.0532039
+0.0545289
+0.0559084
+0.0573384
+0.0588152
+0.0603343
+0.0618912
+0.0634855
+0.0651144
+0.0667756
+0.0684665
+0.0687099
+0.068798
+0.0689556
+0.069118
+0.0693464
+0.0696429
+0.0700068
+0.0704369
+0.0709322
+0.0833695
+0.0817282
+0.0801132
+0.0785261
+0.0769686
+0.0754426
+0.07395
+0.0724928
+0.0710734
+0.0696939
+0.0683567
+0.0670645
+0.0658199
+0.0646255
+0.0634826
+0.0623947
+0.0613657
+0.0599022
+0.0583484
+0.056835
+0.0553669
+0.0539479
+0.0525818
+0.051273
+0.0500259
+0.0488453
+0.047736
+0.0467032
+0.0457404
+0.0448552
+0.0440612
+0.0433634
+0.0427667
+0.0422751
+0.0418925
+0.0416218
+0.0414652
+0.0414241
+0.0414839
+0.0416514
+0.0419329
+0.042326
+0.0428277
+0.0434343
+0.0441413
+0.0449441
+0.0458377
+0.0468167
+0.0478761
+0.0490105
+0.0483232
+0.0472853
+0.0463272
+0.0454485
+0.0446599
+0.0439534
+0.0433451
+0.0428403
+0.0424427
+0.0421554
+0.0419664
+0.0418833
+0.0419147
+0.0420604
+0.0423083
+0.0425305
+0.0428587
+0.0432954
+0.0437107
+0.0441335
+0.0445911
+0.0451486
+0.0458041
+0.0465537
+0.0473845
+0.0482893
+0.049275
+0.0503367
+0.0514699
+0.0526626
+0.0539119
+0.0552199
+0.0565825
+0.0579959
+0.0594564
+0.0609595
+0.0625008
+0.06408
+0.0652718
+0.066386
+0.0675528
+0.0687696
+0.0692695
+0.0693591
+0.0695177
+0.0697448
+0.0700396
+0.0704014
+0.0708292
+0.0713217
+0.0845966
+0.0829796
+0.0813894
+0.0798276
+0.078296
+0.0767964
+0.0753306
+0.0739007
+0.0725088
+0.0711571
+0.069848
+0.0685839
+0.0673674
+0.0662009
+0.0650857
+0.0640191
+0.0626904
+0.0611284
+0.0596051
+0.0581244
+0.0566897
+0.0553046
+0.0539729
+0.0526986
+0.051486
+0.0503397
+0.0492641
+0.0482601
+0.0473206
+0.0464655
+0.0456995
+0.0450272
+0.0444527
+0.04398
+0.0436123
+0.0433524
+0.0432021
+0.0431626
+0.0432205
+0.0433814
+0.0436517
+0.0440295
+0.044512
+0.0450959
+0.0457773
+0.0465519
+0.0474152
+0.0483623
+0.0493885
+0.0500437
+0.0489442
+0.0479157
+0.0469644
+0.0460978
+0.0453205
+0.0446245
+0.0440254
+0.0435285
+0.0431373
+0.0428546
+0.0426687
+0.042587
+0.0426179
+0.0427612
+0.0430157
+0.0433794
+0.0437805
+0.0442081
+0.044628
+0.0450503
+0.0455168
+0.0460648
+0.0467075
+0.0474428
+0.0482584
+0.0491471
+0.0501159
+0.0511602
+0.0522755
+0.0534573
+0.0546985
+0.0559881
+0.0573325
+0.0587278
+0.0601706
+0.0611804
+0.0621364
+0.0631539
+0.0642301
+0.0653619
+0.0665467
+0.0677816
+0.0690639
+0.0698262
+0.0699837
+0.0702093
+0.0705022
+0.0708617
+0.0712867
+0.071776
+0.0858606
+0.0842678
+0.0827024
+0.0811659
+0.07966
+0.0781866
+0.0767474
+0.0753443
+0.0739796
+0.0726553
+0.0713737
+0.0701371
+0.0689479
+0.0678079
+0.0667106
+0.0655064
+0.0639376
+0.0624059
+0.0609145
+0.0594665
+0.058065
+0.0567134
+0.0554156
+0.0541753
+0.0529965
+0.0518835
+0.0508406
+0.0498567
+0.0489479
+0.0481217
+0.0473825
+0.0467344
+0.0461812
+0.0457263
+0.0453728
+0.045123
+0.0449786
+0.0449407
+0.0449969
+0.0451514
+0.0454112
+0.0457744
+0.0462388
+0.0468011
+0.047458
+0.0482056
+0.0490398
+0.0499561
+0.0509502
+0.0507371
+0.0496468
+0.0486308
+0.0476938
+0.0468406
+0.0460759
+0.0453914
+0.0448027
+0.0443145
+0.0439303
+0.0436527
+0.0434702
+0.04339
+0.0434204
+0.043561
+0.0438108
+0.0441681
+0.044626
+0.0451691
+0.04563
+0.0460527
+0.0465095
+0.0470636
+0.0476945
+0.0484148
+0.0492142
+0.050086
+0.051037
+0.0520628
+0.0531592
+0.0543218
+0.0555446
+0.0568257
+0.0576213
+0.0583967
+0.0592357
+0.0601428
+0.061115
+0.0621492
+0.0632425
+0.0643917
+0.065594
+0.0668465
+0.0681464
+0.0694896
+0.0704997
+0.0707105
+0.0709882
+0.0713322
+0.0717415
+0.0722149
+0.0871577
+0.0855891
+0.0840482
+0.0825368
+0.0810565
+0.0796088
+0.0781958
+0.0768192
+0.0754812
+0.0741837
+0.0729289
+0.0717191
+0.0705566
+0.069436
+0.0683467
+0.0667724
+0.0652337
+0.0637332
+0.0622736
+0.0608579
+0.0594891
+0.0581707
+0.0569061
+0.055699
+0.0545532
+0.0534726
+0.0524532
+0.051497
+0.0506177
+0.0498192
+0.0491055
+0.0484804
+0.0479474
+0.0475095
+0.0471693
+0.0469291
+0.0467903
+0.0467538
+0.0468083
+0.0469569
+0.0472067
+0.0475563
+0.0480034
+0.0485453
+0.0491789
+0.0499008
+0.050707
+0.0515938
+0.0525569
+0.0515062
+0.0504325
+0.0494327
+0.0485112
+0.0476727
+0.0469215
+0.0462496
+0.0456719
+0.0451931
+0.0448164
+0.0445443
+0.0443655
+0.044287
+0.0443167
+0.0444545
+0.0446993
+0.0450495
+0.0454986
+0.0460314
+0.046661
+0.0471356
+0.0475821
+0.0481242
+0.0487413
+0.0494475
+0.0502394
+0.0511017
+0.0520341
+0.0530406
+0.0541172
+0.0546686
+0.0552342
+0.05588
+0.0566032
+0.0573923
+0.0582458
+0.0591681
+0.060156
+0.0612065
+0.0623163
+0.0634823
+0.0647015
+0.0659709
+0.0672877
+0.0686477
+0.0700464
+0.071134
+0.0714101
+0.0717521
+0.072159
+0.0726297
+0.08849
+0.0869454
+0.0854291
+0.0839425
+0.0824874
+0.0810653
+0.0796781
+0.0783276
+0.0770158
+0.0757446
+0.0745161
+0.0733325
+0.0721914
+0.0710943
+0.0696296
+0.068085
+0.0665767
+0.0651071
+0.063679
+0.0622952
+0.0609588
+0.0596729
+0.0584408
+0.057266
+0.0561522
+0.0551015
+0.0541035
+0.053177
+0.0523259
+0.0515539
+0.0508646
+0.0502614
+0.0497474
+0.0493255
+0.0489979
+0.0487667
+0.0486331
+0.0485981
+0.048651
+0.0487939
+0.0490344
+0.049371
+0.0498018
+0.0503244
+0.0509359
+0.0516332
+0.0524128
+0.0532711
+0.0534774
+0.0523558
+0.0512999
+0.0503173
+0.0494123
+0.0485893
+0.0478465
+0.0471867
+0.0466206
+0.0461516
+0.0457828
+0.0455166
+0.0453491
+0.0452722
+0.0453013
+0.0454361
+0.0456757
+0.0460184
+0.0464573
+0.0469792
+0.0475964
+0.0482937
+0.0487296
+0.0492591
+0.0498621
+0.0505527
+0.0513275
+0.0521825
+0.0524699
+0.0527868
+0.0531922
+0.0536839
+0.0542598
+0.054917
+0.0556527
+0.0564537
+0.0573226
+0.0582595
+0.0592626
+0.0603286
+0.0614542
+0.0626363
+0.0638716
+0.0651572
+0.0664902
+0.0678662
+0.0692806
+0.0707347
+0.0718963
+0.072236
+0.0726402
+0.0731078
+0.089856
+0.0883353
+0.0868433
+0.0853813
+0.0839511
+0.0825543
+0.0811925
+0.0798676
+0.0785815
+0.077336
+0.0761332
+0.0749736
+0.0738528
+0.0725066
+0.070957
+0.069442
+0.0679637
+0.0665248
+0.0651278
+0.0637755
+0.0624707
+0.0612166
+0.0600162
+0.0588729
+0.05779
+0.0567594
+0.055791
+0.054893
+0.0540689
+0.0533222
+0.052656
+0.0520736
+0.0515776
+0.0511708
+0.0508551
+0.0506324
+0.0505038
+0.05047
+0.0505215
+0.0506591
+0.0508908
+0.0512152
+0.0516306
+0.0521349
+0.0527254
+0.0533993
+0.0541535
+0.0549847
+0.0543844
+0.0532819
+0.0522447
+0.0512802
+0.0503926
+0.0495828
+0.0488483
+0.0482023
+0.0476482
+0.0471895
+0.0468289
+0.0465686
+0.0464104
+0.0463401
+0.0463685
+0.0465002
+0.0467344
+0.0470694
+0.0474947
+0.0480053
+0.0486094
+0.0493035
+0.0495557
+0.0498349
+0.0502041
+0.0506599
+0.051167
+0.0513052
+0.0515363
+0.051859
+0.0522715
+0.0527719
+0.0533575
+0.0540207
+0.0547573
+0.0555705
+0.0564571
+0.0574136
+0.0584364
+0.0595184
+0.0606591
+0.0618564
+0.063107
+0.0644078
+0.0657559
+0.067147
+0.0685763
+0.070045
+0.0715506
+0.0727826
+0.0731838
+0.0736479
+0.0912542
+0.0897572
+0.0882891
+0.0868516
+0.085446
+0.084074
+0.0827372
+0.0814375
+0.0801765
+0.0789562
+0.0777785
+0.0766374
+0.0754011
+0.0738473
+0.0723264
+0.0708407
+0.0693922
+0.0679836
+0.0666172
+0.0652957
+0.0640219
+0.0627987
+0.0616292
+0.0605163
+0.0594581
+0.0584523
+0.0575125
+0.0566418
+0.0558435
+0.0551208
+0.0544766
+0.0539139
+0.053435
+0.0530424
+0.052738
+0.0525232
+0.0523992
+0.0523667
+0.0524167
+0.0525494
+0.0527728
+0.0530857
+0.0534866
+0.0539735
+0.0545441
+0.0551958
+0.0559258
+0.0565078
+0.0553633
+0.0542807
+0.053263
+0.0523173
+0.0514474
+0.0506452
+0.0499263
+0.0492943
+0.0487527
+0.0483045
+0.0479522
+0.0476981
+0.0475436
+0.0474771
+0.0475048
+0.0476334
+0.047862
+0.0481892
+0.048496
+0.0484004
+0.0483896
+0.048478
+0.0486648
+0.0489492
+0.0493292
+0.0498028
+0.0502995
+0.0504401
+0.0506751
+0.0510032
+0.0514226
+0.0519312
+0.05252
+0.0531872
+0.0539352
+0.0547606
+0.0556601
+0.0566301
+0.057667
+0.0587674
+0.0599261
+0.0611377
+0.0624027
+0.063718
+0.0650804
+0.0664871
+0.0679353
+0.0694176
+0.0709366
+0.0724899
+0.0737884
+0.0741767
+0.092683
+0.0912095
+0.0897652
+0.0883516
+0.0869703
+0.0856227
+0.0843105
+0.0830354
+0.0817991
+0.0806033
+0.0794451
+0.0783113
+0.0767538
+0.0752279
+0.0737355
+0.0722787
+0.0708597
+0.0694808
+0.0681444
+0.0668531
+0.0656096
+0.0644165
+0.0632769
+0.0621935
+0.0611548
+0.0601774
+0.0592649
+0.0584203
+0.0576467
+0.0569469
+0.0563236
+0.0557795
+0.0553168
+0.0549376
+0.0546438
+0.0544365
+0.0543169
+0.0542855
+0.0543342
+0.0544623
+0.0546778
+0.0549799
+0.0553671
+0.0558376
+0.0563893
+0.0570199
+0.0577268
+0.057534
+0.0564104
+0.0553482
+0.0543505
+0.053424
+0.0525633
+0.0517784
+0.0510755
+0.0504579
+0.049929
+0.0494914
+0.0491476
+0.0488997
+0.0487464
+0.0486749
+0.048702
+0.0485582
+0.0481697
+0.0478784
+0.047686
+0.0475889
+0.0475779
+0.0476677
+0.0478578
+0.0481469
+0.0485332
+0.0490145
+0.0495044
+0.0496473
+0.049886
+0.0502193
+0.0506452
+0.0511614
+0.0517552
+0.0524321
+0.0531907
+0.0540275
+0.054939
+0.0559215
+0.0569714
+0.0580798
+0.0592482
+0.0604734
+0.061752
+0.0630808
+0.0644567
+0.0658767
+0.0673381
+0.0688381
+0.0703744
+0.0719446
+0.0735465
+0.074631
+0.0941412
+0.0926908
+0.09127
+0.0898801
+0.0885226
+0.087199
+0.0859109
+0.0846599
+0.0834476
+0.0822737
+0.0811354
+0.0796747
+0.0781444
+0.0766462
+0.075182
+0.0737538
+0.0723637
+0.071014
+0.069707
+0.0684452
+0.0672311
+0.0660674
+0.0649567
+0.0638932
+0.0628821
+0.0619319
+0.0610457
+0.0602261
+0.0594759
+0.0587979
+0.0581944
+0.057668
+0.0572206
+0.0568541
+0.0565702
+0.05637
+0.0562545
+0.0562242
+0.0562717
+0.0563953
+0.0566035
+0.0568954
+0.0572696
+0.0577246
+0.0582585
+0.0588691
+0.059554
+0.0586242
+0.0575218
+0.0564806
+0.0555032
+0.05459
+0.0537454
+0.0529781
+0.0522913
+0.0516882
+0.051172
+0.0507451
+0.0504099
+0.0501682
+0.0495976
+0.0489239
+0.0483402
+0.0478497
+0.0474554
+0.0471597
+0.0469644
+0.0468658
+0.0468546
+0.0469458
+0.0471388
+0.0474322
+0.0478243
+0.0483127
+0.0487907
+0.0489356
+0.0491778
+0.0495159
+0.0499478
+0.0504711
+0.0510729
+0.0517588
+0.0525271
+0.0533743
+0.0542968
+0.0552875
+0.0563435
+0.0574637
+0.0586444
+0.0598819
+0.0611729
+0.062514
+0.0639021
+0.0653342
+0.0668074
+0.0683191
+0.0698668
+0.0714481
+0.073061
+0.0747023
+0.0956273
+0.0941998
+0.0928021
+0.0914355
+0.0901014
+0.0888013
+0.0875368
+0.0863094
+0.0851206
+0.0839642
+0.0826086
+0.0810745
+0.0795711
+0.0781003
+0.0766638
+0.0752637
+0.0739021
+0.072581
+0.0713027
+0.0700697
+0.0688842
+0.0677489
+0.0666631
+0.0656215
+0.0646374
+0.0637135
+0.0628523
+0.0620566
+0.0613289
+0.0606715
+0.0600869
+0.0595772
+0.0591442
+0.0587897
+0.0585152
+0.0583217
+0.0582101
+0.0581808
+0.0582271
+0.0583466
+0.0585478
+0.05883
+0.059192
+0.0596324
+0.0601493
+0.0607409
+0.0609151
+0.0597747
+0.058694
+0.0576739
+0.0567136
+0.0558152
+0.0549895
+0.0542397
+0.0535691
+0.0529806
+0.052477
+0.051555
+0.0506237
+0.0497713
+0.0490022
+0.0483202
+0.0477291
+0.0472323
+0.0468328
+0.0465332
+0.0463352
+0.0462352
+0.0462239
+0.0463164
+0.046512
+0.0468093
+0.0472066
+0.0477013
+0.0481661
+0.0483129
+0.0485582
+0.0489005
+0.0493378
+0.0498676
+0.0504766
+0.0511704
+0.0519475
+0.0528028
+0.0537292
+0.0547276
+0.0557943
+0.0569253
+0.0581169
+0.0593654
+0.0606674
+0.0620194
+0.0634184
+0.0648611
+0.0663448
+0.0678665
+0.0694226
+0.0710122
+0.0726332
+0.0742833
+0.09714
+0.0957351
+0.0943601
+0.0930164
+0.0917054
+0.0904284
+0.0891869
+0.0879825
+0.0868114
+0.085554
+0.0840166
+0.0825086
+0.0810319
+0.0795881
+0.0781789
+0.0768065
+0.0754726
+0.0741795
+0.0729293
+0.0717242
+0.0705666
+0.0694587
+0.0683916
+0.0673767
+0.0664186
+0.0655198
+0.0646827
+0.0639098
+0.0632034
+0.0625658
+0.061999
+0.0615051
+0.0610858
+0.0607427
+0.060477
+0.0602898
+0.0601818
+0.0601535
+0.0601987
+0.0603143
+0.060509
+0.0607821
+0.0611325
+0.061559
+0.0620599
+0.0626334
+0.0621005
+0.0609823
+0.0599234
+0.0589205
+0.0579735
+0.057095
+0.0561784
+0.0552437
+0.0542993
+0.0531627
+0.052092
+0.0510766
+0.0501363
+0.0492756
+0.0484986
+0.0478094
+0.0472119
+0.0467096
+0.0463056
+0.0460025
+0.0458023
+0.0457011
+0.0456897
+0.0457832
+0.045981
+0.0462818
+0.0466836
+0.0471838
+0.0476342
+0.0477826
+0.0480307
+0.0483767
+0.0488187
+0.049354
+0.0499691
+0.0506637
+0.0514422
+0.052301
+0.0532361
+0.0542437
+0.0553196
+0.0564601
+0.0576613
+0.0589195
+0.0602312
+0.0615928
+0.0630012
+0.0644533
+0.0659462
+0.0674762
+0.0690412
+0.0706394
+0.0722687
+0.073927
+0.0986782
+0.0972955
+0.0959429
+0.0946217
+0.0933332
+0.0920788
+0.0908599
+0.0896753
+0.0885099
+0.0869695
+0.0854575
+0.0839755
+0.082525
+0.0811077
+0.0797255
+0.0783801
+0.0770735
+0.0758077
+0.0745848
+0.0734069
+0.0722762
+0.0711887
+0.0701459
+0.0691568
+0.0682237
+0.067349
+0.0665349
+0.0657838
+0.0650977
+0.0644788
+0.063929
+0.0634501
+0.0630438
+0.0627113
+0.062454
+0.0622728
+0.0621683
+0.0621408
+0.062185
+0.0622968
+0.0624854
+0.0627499
+0.0630894
+0.0635027
+0.0639884
+0.0641573
+0.0628079
+0.0615069
+0.0602575
+0.059063
+0.0579266
+0.0568521
+0.0558428
+0.0549024
+0.0539343
+0.0527898
+0.0517114
+0.0506884
+0.0497407
+0.048873
+0.0480895
+0.0473944
+0.0467916
+0.0462848
+0.045877
+0.0455711
+0.0453689
+0.0452668
+0.0452553
+0.0453497
+0.0455494
+0.045853
+0.0462585
+0.0467632
+0.0471963
+0.0473461
+0.0475964
+0.0479456
+0.0483915
+0.0489223
+0.0495348
+0.0502353
+0.0510204
+0.0518862
+0.0528287
+0.0538438
+0.0549276
+0.0560761
+0.0572854
+0.0585516
+0.0598713
+0.0612409
+0.0626572
+0.0641171
+0.0656177
+0.0671552
+0.0687275
+0.0703328
+0.071969
+0.0736341
+0.100241
+0.0988799
+0.0975492
+0.0962501
+0.0949837
+0.0937513
+0.0925541
+0.0913864
+0.0899322
+0.0884166
+0.0869298
+0.0854733
+0.0840487
+0.0826575
+0.0813016
+0.0799828
+0.0787028
+0.0774636
+0.0762672
+0.0751157
+0.0740098
+0.0729415
+0.0719242
+0.0709599
+0.0700508
+0.0691992
+0.0684071
+0.0676767
+0.0670101
+0.066409
+0.0658753
+0.0654107
+0.0650166
+0.0646943
+0.0644449
+0.0642693
+0.064168
+0.0641414
+0.0641845
+0.064293
+0.0644757
+0.064732
+0.0650612
+0.0654621
+0.0653383
+0.0639388
+0.0625846
+0.0612789
+0.0600248
+0.0588255
+0.0576845
+0.0566053
+0.0555916
+0.0546469
+0.0536563
+0.0525058
+0.0514214
+0.0503925
+0.0494392
+0.0485661
+0.0477775
+0.0470778
+0.0464709
+0.0459605
+0.0455499
+0.0452417
+0.0450381
+0.0449352
+0.0449236
+0.0450187
+0.0452199
+0.0455257
+0.0459341
+0.0464424
+0.0468388
+0.0469898
+0.0472419
+0.0475937
+0.0480429
+0.0485775
+0.0491942
+0.0498996
+0.0506899
+0.0515612
+0.0525095
+0.0535307
+0.0546207
+0.0557755
+0.0569912
+0.0582638
+0.0595899
+0.0609658
+0.0623884
+0.0638544
+0.065361
+0.0669044
+0.0684824
+0.0700934
+0.0717351
+0.0734054
+0.101826
+0.100487
+0.0991779
+0.0979004
+0.0966556
+0.0954448
+0.094264
+0.0929037
+0.0913849
+0.0898938
+0.0884319
+0.0870005
+0.0856013
+0.0842358
+0.0829057
+0.0816128
+0.0803587
+0.0791455
+0.0779749
+0.076849
+0.0757607
+0.0747175
+0.0737246
+0.0727842
+0.0718982
+0.0710687
+0.0702977
+0.0695872
+0.068939
+0.0683549
+0.0678365
+0.0673854
+0.0670029
+0.0666902
+0.0664483
+0.066278
+0.0661798
+0.066154
+0.0661962
+0.0663013
+0.0664785
+0.0667272
+0.0670466
+0.0666378
+0.0651943
+0.0637934
+0.0624373
+0.0611286
+0.0598713
+0.0586689
+0.0575248
+0.0564426
+0.0554259
+0.0544783
+0.0534667
+0.052312
+0.0512235
+0.0501905
+0.0492333
+0.0483565
+0.0475645
+0.0468616
+0.0462519
+0.045739
+0.0453264
+0.0450167
+0.0448121
+0.0447053
+0.0446936
+0.0447893
+0.0449915
+0.0452988
+0.0457092
+0.0462199
+0.0465817
+0.0467335
+0.046987
+0.0473407
+0.0477922
+0.0483296
+0.0489495
+0.0496583
+0.0504524
+0.0513277
+0.0522803
+0.0533058
+0.0544004
+0.0555598
+0.05678
+0.0580573
+0.059388
+0.0607685
+0.0621956
+0.063666
+0.065177
+0.0667247
+0.0683068
+0.0699218
+0.0715675
+0.0732416
+0.103434
+0.102116
+0.100828
+0.0995715
+0.0983479
+0.0971552
+0.0958833
+0.0943615
+0.0928666
+0.0913997
+0.0899622
+0.0885556
+0.0871813
+0.0858409
+0.0845361
+0.0832685
+0.0820398
+0.0808518
+0.0797063
+0.0786009
+0.077534
+0.076515
+0.0755457
+0.0746282
+0.0737644
+0.0729561
+0.0722053
+0.0715137
+0.0708831
+0.0703152
+0.0698113
+0.0693731
+0.0690016
+0.068698
+0.0684632
+0.0682979
+0.0682026
+0.0681776
+0.0682189
+0.0683209
+0.0684929
+0.0687343
+0.0680424
+0.0665574
+0.0651121
+0.0637094
+0.0623522
+0.0610434
+0.0597862
+0.058584
+0.0574398
+0.0563557
+0.0553371
+0.0543877
+0.0533665
+0.0522095
+0.0511074
+0.050072
+0.0491125
+0.0482335
+0.0474394
+0.0467346
+0.0461232
+0.0456089
+0.0451951
+0.0448845
+0.0446792
+0.0445645
+0.0445528
+0.0446488
+0.0448516
+0.0451599
+0.0455716
+0.0460838
+0.0464266
+0.0465789
+0.0468333
+0.0471881
+0.0476411
+0.0481802
+0.0488019
+0.0495129
+0.0503092
+0.051187
+0.0521421
+0.0531704
+0.0542677
+0.0554298
+0.0566529
+0.057933
+0.0592664
+0.0606497
+0.0620795
+0.0635527
+0.0650662
+0.0666165
+0.0682012
+0.0698186
+0.0714666
+0.0731431
+0.105063
+0.103765
+0.102498
+0.101262
+0.100059
+0.0988677
+0.0973434
+0.0958448
+0.0943734
+0.0929302
+0.0915168
+0.0901344
+0.0887846
+0.0874689
+0.0861887
+0.0849457
+0.0837416
+0.0825781
+0.0814569
+0.0803712
+0.0793281
+0.0783324
+0.077386
+0.0764905
+0.075648
+0.07486
+0.0741285
+0.073455
+0.0728413
+0.0722887
+0.0717987
+0.0713727
+0.0710117
+0.0707167
+0.0704886
+0.0703281
+0.0702356
+0.0702113
+0.0702517
+0.0703508
+0.0705178
+0.0695568
+0.0680343
+0.066549
+0.0651036
+0.0637007
+0.0623432
+0.0610343
+0.0597769
+0.0585745
+0.0574301
+0.0563458
+0.055327
+0.0543774
+0.053356
+0.0521859
+0.0510784
+0.0500423
+0.0490823
+0.0482027
+0.0474081
+0.0467028
+0.046091
+0.0455764
+0.0451622
+0.0448514
+0.044646
+0.0445312
+0.0445195
+0.0446155
+0.0448185
+0.045127
+0.045539
+0.0460516
+0.0463746
+0.0465271
+0.0467817
+0.0471369
+0.0475904
+0.0481301
+0.0487525
+0.0494641
+0.0502612
+0.0511399
+0.0520958
+0.053125
+0.0542232
+0.0553863
+0.0566103
+0.0578913
+0.0592257
+0.0606099
+0.0620406
+0.0635147
+0.0650291
+0.0665803
+0.0681658
+0.069784
+0.0714329
+0.0731101
+0.106712
+0.105435
+0.104188
+0.102972
+0.101784
+0.100331
+0.098829
+0.0973534
+0.0959051
+0.0944853
+0.0930955
+0.0917369
+0.090411
+0.0891193
+0.0878632
+0.0866442
+0.0854641
+0.0843243
+0.0832266
+0.0821618
+0.0811417
+0.0801686
+0.079244
+0.0783698
+0.0775477
+0.0767793
+0.0760662
+0.07541
+0.0748123
+0.0742744
+0.0737976
+0.0733831
+0.0730321
+0.0727453
+0.0725236
+0.0723676
+0.0722777
+0.0722541
+0.0722937
+0.07239
+0.0711739
+0.0696178
+0.0680966
+0.0666127
+0.0651687
+0.0637672
+0.0624112
+0.0611037
+0.0598478
+0.0586469
+0.0575039
+0.056421
+0.0554036
+0.0544554
+0.0534187
+0.0522494
+0.0511432
+0.0501085
+0.0491498
+0.0482714
+0.047478
+0.0467738
+0.0461629
+0.0456491
+0.0452356
+0.0449253
+0.0447202
+0.0446056
+0.0445939
+0.0446898
+0.0448924
+0.0452005
+0.0456117
+0.0461235
+0.046426
+0.0465783
+0.0468327
+0.0471875
+0.0476406
+0.0481796
+0.0488014
+0.0495123
+0.0503087
+0.0511865
+0.0521416
+0.0531699
+0.0542672
+0.0554293
+0.0566524
+0.0579325
+0.059266
+0.0606493
+0.0620791
+0.0635522
+0.0650658
+0.0666161
+0.0682008
+0.0698182
+0.0714663
+0.0731427
+0.10838
+0.107123
+0.105896
+0.104697
+0.103325
+0.10182
+0.100341
+0.0988874
+0.0974619
+0.0960652
+0.0946986
+0.0933633
+0.0920608
+0.0907926
+0.0895599
+0.0883644
+0.0872075
+0.0860908
+0.0850139
+0.0839714
+0.0829736
+0.0820221
+0.0811187
+0.0802649
+0.0794624
+0.0787127
+0.0780173
+0.0773777
+0.0767952
+0.0762713
+0.0758071
+0.0754037
+0.0750621
+0.0747831
+0.0745675
+0.0744157
+0.0743283
+0.0743053
+0.0743442
+0.0728858
+0.0713008
+0.0697475
+0.0682292
+0.0667483
+0.0653073
+0.0639089
+0.0625559
+0.0612515
+0.0599987
+0.0588009
+0.057661
+0.0565811
+0.0555666
+0.0546212
+0.0535704
+0.0524044
+0.0513017
+0.0502702
+0.0493146
+0.0484392
+0.0476486
+0.0469469
+0.0463383
+0.0458265
+0.0454146
+0.0451055
+0.0449013
+0.0447872
+0.0447755
+0.044871
+0.0450728
+0.0453796
+0.0457893
+0.0462991
+0.0465635
+0.0467154
+0.046969
+0.0473228
+0.0477746
+0.0483215
+0.0489484
+0.0496573
+0.0504513
+0.0513267
+0.0522793
+0.0533049
+0.0543994
+0.0555588
+0.0567791
+0.0580564
+0.0593871
+0.0607676
+0.0621947
+0.0636652
+0.0651762
+0.0667239
+0.0683061
+0.0699211
+0.0715667
+0.0732409
+0.109968
+0.108829
+0.10762
+0.106325
+0.104817
+0.103334
+0.101877
+0.100446
+0.0990427
+0.0976686
+0.0963247
+0.0950124
+0.0937328
+0.0924875
+0.0912777
+0.090105
+0.0889707
+0.0878765
+0.0868193
+0.0857987
+0.0848224
+0.0838919
+0.0830089
+0.0821747
+0.081391
+0.0806592
+0.0799807
+0.079357
+0.0787892
+0.0782786
+0.0778263
+0.0774335
+0.0771008
+0.0768293
+0.0766194
+0.0764717
+0.0763866
+0.076308
+0.0746771
+0.0730754
+0.0714947
+0.0699457
+0.0684318
+0.0669553
+0.0655188
+0.0641251
+0.0627768
+0.061477
+0.0602289
+0.0590358
+0.0579005
+0.0568251
+0.0558151
+0.054874
+0.0538109
+0.0526503
+0.0515528
+0.0505265
+0.0495758
+0.0487051
+0.0479188
+0.0472212
+0.0466162
+0.0461074
+0.0456981
+0.0453909
+0.045188
+0.0450746
+0.045063
+0.0451578
+0.0453584
+0.0456633
+0.0460705
+0.0465772
+0.0468004
+0.0469515
+0.0472038
+0.0475559
+0.0480054
+0.0485498
+0.0491723
+0.0498779
+0.0506686
+0.0515402
+0.0524889
+0.0535105
+0.0546009
+0.0557561
+0.0569722
+0.0582453
+0.0595718
+0.0609481
+0.0623711
+0.0638375
+0.0653444
+0.0668892
+0.0684693
+0.0700821
+0.0717257
+0.0733978
+0.111219
+0.110552
+0.10933
+0.10782
+0.106334
+0.104872
+0.103436
+0.102027
+0.100646
+0.0992945
+0.097973
+0.096683
+0.0954258
+0.0942028
+0.0930154
+0.0918648
+0.0907526
+0.0896801
+0.0886421
+0.0876427
+0.0866872
+0.0857769
+0.0849135
+0.0840982
+0.0833326
+0.082618
+0.0819558
+0.0813471
+0.0807933
+0.0802955
+0.0798547
+0.0794718
+0.0791477
+0.0788832
+0.0786788
+0.078535
+0.0782049
+0.0765518
+0.0749262
+0.0733299
+0.0717549
+0.0702116
+0.0687036
+0.0672331
+0.0658027
+0.0644151
+0.063073
+0.0617795
+0.0605376
+0.0593506
+0.0582196
+0.0571503
+0.0561461
+0.0552106
+0.054139
+0.0529856
+0.0518952
+0.0508758
+0.0499318
+0.0490674
+0.0482871
+0.0475948
+0.0469946
+0.04649
+0.0460841
+0.0457795
+0.0455783
+0.0454658
+0.0454544
+0.0455484
+0.0457472
+0.0460496
+0.0464533
+0.046956
+0.0471379
+0.0472879
+0.0475385
+0.0478881
+0.0483346
+0.0488752
+0.0494884
+0.0501896
+0.0509754
+0.0518419
+0.0527852
+0.0538011
+0.0548858
+0.0560351
+0.0572453
+0.0585124
+0.059833
+0.0612034
+0.0626206
+0.0640813
+0.0655827
+0.067122
+0.0686966
+0.0703043
+0.0719428
+0.07361
+0.112499
+0.112177
+0.110828
+0.109339
+0.107874
+0.106433
+0.105019
+0.103631
+0.102272
+0.100942
+0.0996421
+0.0983739
+0.0971387
+0.0959376
+0.0947719
+0.0936429
+0.092552
+0.0915006
+0.0904812
+0.0895023
+0.0885668
+0.0876761
+0.0868316
+0.0860345
+0.0852863
+0.0845882
+0.0839415
+0.0833473
+0.0828069
+0.0823212
+0.0818913
+0.081518
+0.0812021
+0.0809443
+0.0807452
+0.0801767
+0.078504
+0.0768573
+0.0752383
+0.0736488
+0.0720808
+0.0705447
+0.0690439
+0.0675808
+0.066158
+0.0647779
+0.0634428
+0.0621548
+0.0609185
+0.0597369
+0.0586134
+0.0575513
+0.0565543
+0.0556257
+0.0545533
+0.0534088
+0.0523272
+0.0513164
+0.0503806
+0.0495241
+0.048751
+0.0480655
+0.0474712
+0.0469717
+0.04657
+0.0462686
+0.0460695
+0.0459583
+0.045947
+0.04604
+0.0462367
+0.0465359
+0.0469355
+0.047433
+0.0475741
+0.0477227
+0.047971
+0.0483175
+0.04876
+0.0492909
+0.0498988
+0.0505943
+0.0513739
+0.0522338
+0.0531701
+0.0541789
+0.0552561
+0.0563979
+0.0576004
+0.0588599
+0.0601728
+0.0615357
+0.0629454
+0.0643988
+0.0658929
+0.0674251
+0.0689929
+0.0705938
+0.0722257
+0.0738865
+0.113807
+0.113487
+0.112349
+0.11088
+0.109436
+0.108016
+0.106623
+0.105256
+0.103918
+0.102609
+0.101331
+0.100084
+0.0988704
+0.0976906
+0.096546
+0.0954381
+0.094368
+0.0933362
+0.0923356
+0.0913766
+0.0904605
+0.0895886
+0.0887623
+0.0879827
+0.0872512
+0.0865689
+0.0859371
+0.0853569
+0.0848293
+0.0843552
+0.0839357
+0.0835716
+0.0832635
+0.0830121
+0.082218
+0.0805281
+0.0788628
+0.0772238
+0.0756126
+0.0740312
+0.0724715
+0.0709438
+0.0694517
+0.0679961
+0.0665801
+0.065207
+0.0638795
+0.0626005
+0.0613731
+0.0602005
+0.0590858
+0.0580324
+0.0570437
+0.0561232
+0.0550516
+0.0539177
+0.0528466
+0.0518459
+0.0509198
+0.0500725
+0.0493081
+0.0486304
+0.0480431
+0.0475496
+0.0471528
+0.0468552
+0.0466586
+0.0465488
+0.0465376
+0.0466294
+0.0468237
+0.0471191
+0.0475138
+0.0480053
+0.0481061
+0.0482531
+0.0484987
+0.0488415
+0.0492793
+0.0497993
+0.0504011
+0.0510898
+0.051862
+0.0527139
+0.0536418
+0.0546419
+0.0557102
+0.0568428
+0.0580361
+0.0592864
+0.0605901
+0.0619438
+0.0633444
+0.0647888
+0.0662741
+0.0677977
+0.069357
+0.0709497
+0.0725736
+0.0742267
+0.114945
+0.114735
+0.113892
+0.112443
+0.111019
+0.10962
+0.108247
+0.106901
+0.105584
+0.104296
+0.103039
+0.101813
+0.10062
+0.099461
+0.0983371
+0.0972495
+0.0961995
+0.0951854
+0.0942045
+0.0932647
+0.0923674
+0.0915136
+0.0907048
+0.0899421
+0.0892266
+0.0885596
+0.0879421
+0.0873752
+0.0868598
+0.0863969
+0.0859874
+0.085632
+0.0853313
+0.0843238
+0.0826188
+0.0809373
+0.0792806
+0.0776503
+0.0760483
+0.0744761
+0.0729241
+0.0714043
+0.0699201
+0.0684738
+0.067068
+0.065705
+0.0643878
+0.0631192
+0.0619021
+0.0607396
+0.059635
+0.0585915
+0.0576124
+0.0567011
+0.0556318
+0.05451
+0.0534507
+0.0524615
+0.0515465
+0.0507097
+0.049955
+0.0492862
+0.0487069
+0.0482202
+0.0478289
+0.0475355
+0.0473418
+0.0472336
+0.0472225
+0.047313
+0.0475045
+0.0477957
+0.0481848
+0.0486696
+0.0487309
+0.0488761
+0.0491185
+0.049457
+0.0498894
+0.050398
+0.0509927
+0.0516735
+0.0524371
+0.0532798
+0.0541981
+0.055188
+0.0562459
+0.057368
+0.0585506
+0.0597901
+0.061083
+0.0624261
+0.0638161
+0.0652501
+0.0667251
+0.0682386
+0.0697881
+0.0713712
+0.0729857
+0.0746296
+0.1161
+0.115892
+0.115456
+0.114027
+0.112623
+0.111244
+0.109891
+0.108566
+0.107269
+0.106002
+0.104765
+0.103559
+0.102387
+0.101248
+0.100144
+0.0990762
+0.0980458
+0.0970489
+0.096087
+0.0951658
+0.0942865
+0.0934503
+0.0926584
+0.0919119
+0.0912119
+0.0905595
+0.0899557
+0.0894016
+0.0888979
+0.0884457
+0.0880457
+0.0876986
+0.0864892
+0.0847712
+0.0830751
+0.0814026
+0.0797552
+0.0781345
+0.0765422
+0.0749778
+0.0734352
+0.0719262
+0.070453
+0.0690179
+0.0676233
+0.0662718
+0.0649661
+0.0637089
+0.0625033
+0.0613522
+0.0602589
+0.0592264
+0.058258
+0.0573569
+0.0562914
+0.055183
+0.0541368
+0.0531604
+0.0522577
+0.0514324
+0.0506885
+0.0500295
+0.0494589
+0.0489796
+0.0485945
+0.0483057
+0.0481151
+0.0480086
+0.0479978
+0.0480868
+0.0482752
+0.0485618
+0.0489448
+0.0493988
+0.049445
+0.049588
+0.049827
+0.0501607
+0.050585
+0.0510837
+0.0516705
+0.0523425
+0.0530964
+0.0539288
+0.0548362
+0.0558149
+0.0568611
+0.0579713
+0.0591418
+0.0603692
+0.06165
+0.0629809
+0.064359
+0.0657811
+0.0672445
+0.0687466
+0.0702849
+0.071857
+0.0734609
+0.0750944
+0.117285
+0.117079
+0.116914
+0.11563
+0.114246
+0.112887
+0.111554
+0.110249
+0.108972
+0.107725
+0.106508
+0.105322
+0.104169
+0.10305
+0.101966
+0.100917
+0.099906
+0.0989257
+0.0979822
+0.097079
+0.0962173
+0.095398
+0.0946224
+0.0938915
+0.0932063
+0.092568
+0.0919774
+0.0914355
+0.0909432
+0.0905012
+0.0901103
+0.088708
+0.0869783
+0.0852699
+0.0835839
+0.0819218
+0.080285
+0.0786752
+0.0770941
+0.0755386
+0.0740076
+0.0725105
+0.0710494
+0.0696266
+0.0682445
+0.0669055
+0.0656124
+0.0643679
+0.0631749
+0.0620362
+0.0609551
+0.0599346
+0.0589779
+0.058088
+0.0570275
+0.0559337
+0.0549019
+0.0539393
+0.0530498
+0.0522371
+0.0515048
+0.0508564
+0.0502951
+0.0498239
+0.0494453
+0.0491616
+0.0489743
+0.0488697
+0.048859
+0.0489465
+0.0491316
+0.0494132
+0.0497897
+0.050186
+0.0502315
+0.0503723
+0.0506076
+0.0509361
+0.0513561
+0.0518529
+0.0524311
+0.0530934
+0.0538369
+0.054658
+0.0555535
+0.0565197
+0.0575532
+0.0586503
+0.0598075
+0.0610215
+0.0622888
+0.0636064
+0.0649712
+0.0663802
+0.0678307
+0.0693201
+0.0708459
+0.0724059
+0.0739978
+0.0756197
+0.118498
+0.118295
+0.118131
+0.117253
+0.115888
+0.114548
+0.113235
+0.111949
+0.110692
+0.109464
+0.108267
+0.107101
+0.105967
+0.104867
+0.103802
+0.102772
+0.101779
+0.100815
+0.0998896
+0.0990038
+0.0981589
+0.097356
+0.0965961
+0.0958803
+0.0952094
+0.0945846
+0.0940067
+0.0934766
+0.092995
+0.0925628
+0.0909779
+0.0892385
+0.0875193
+0.0858216
+0.0841466
+0.0824959
+0.0808707
+0.0792729
+0.0777039
+0.0761582
+0.0746399
+0.0731558
+0.0717079
+0.0702984
+0.0689297
+0.0676043
+0.0663248
+0.065094
+0.0639145
+0.0627893
+0.0617214
+0.0607137
+0.0597694
+0.0588915
+0.0578373
+0.0567591
+0.0557425
+0.0547947
+0.0539193
+0.0531199
+0.0524
+0.0517628
+0.0512114
+0.0507487
+0.0503771
+0.0500987
+0.0499149
+0.0498122
+0.0498018
+0.0498876
+0.0500692
+0.0503456
+0.0507152
+0.051052
+0.0510967
+0.0512351
+0.0514665
+0.0517896
+0.0522027
+0.0527019
+0.053271
+0.053923
+0.0546552
+0.0554642
+0.0563469
+0.0572997
+0.0583193
+0.0594023
+0.0605452
+0.0617446
+0.0629974
+0.0643005
+0.0656508
+0.0670456
+0.068482
+0.0699575
+0.0714697
+0.0730164
+0.0745953
+0.0762045
+0.119739
+0.119538
+0.119376
+0.118893
+0.117547
+0.116227
+0.114933
+0.113666
+0.112428
+0.11122
+0.110042
+0.108895
+0.10778
+0.106699
+0.105652
+0.10464
+0.103663
+0.102716
+0.101808
+0.100939
+0.100111
+0.0993234
+0.0985787
+0.0978773
+0.0972203
+0.0966084
+0.0960427
+0.0955239
+0.0950527
+0.0932955
+0.0915477
+0.0898192
+0.0881114
+0.0864253
+0.0847623
+0.0831237
+0.0815111
+0.0799261
+0.0783685
+0.0768353
+0.0753307
+0.0738604
+0.0724266
+0.0710314
+0.0696771
+0.0683662
+0.0671013
+0.0658849
+0.0647198
+0.0636089
+0.0625549
+0.061561
+0.0606299
+0.0597646
+0.0587177
+0.0576559
+0.0566555
+0.0557232
+0.0548626
+0.0540772
+0.0533701
+0.0527446
+0.0522037
+0.0517499
+0.0513855
+0.0511125
+0.0509324
+0.0508318
+0.0508215
+0.0509057
+0.0510837
+0.0513546
+0.0517169
+0.0519959
+0.0520398
+0.0521757
+0.0524029
+0.0527203
+0.0531261
+0.0536185
+0.0541865
+0.0548276
+0.0555478
+0.0563441
+0.0572132
+0.0581518
+0.0591568
+0.0602246
+0.0613522
+0.0625362
+0.0637735
+0.065061
+0.0663959
+0.0677753
+0.0691965
+0.0706571
+0.0721547
+0.0736869
+0.0752518
+0.0768472
+0.121007
+0.120808
+0.120648
+0.120528
+0.119224
+0.117922
+0.116647
+0.1154
+0.11418
+0.112991
+0.111831
+0.110703
+0.109606
+0.108543
+0.107514
+0.10652
+0.105557
+0.104627
+0.103736
+0.102883
+0.10207
+0.101298
+0.100568
+0.099881
+0.0992372
+0.0986379
+0.0980839
+0.0974299
+0.0956573
+0.0939023
+0.092166
+0.0904493
+0.0887536
+0.0870799
+0.0854297
+0.0838042
+0.0822023
+0.0806271
+0.0790811
+0.0775631
+0.0760729
+0.0746172
+0.0731982
+0.071818
+0.0704788
+0.0691831
+0.0679334
+0.0667322
+0.0655822
+0.0644861
+0.0634467
+0.0624669
+0.0615495
+0.0606974
+0.0596655
+0.058621
+0.0576373
+0.0567211
+0.0558759
+0.0551049
+0.0544112
+0.0537978
+0.0532676
+0.0528229
+0.052466
+0.0521987
+0.0520223
+0.0519238
+0.0519138
+0.0519961
+0.0521704
+0.0524357
+0.0527906
+0.0530136
+0.0530566
+0.0531899
+0.0534128
+0.0537242
+0.0541226
+0.0546059
+0.0551721
+0.0558036
+0.0565114
+0.0572942
+0.0581491
+0.0590729
+0.0600624
+0.0611145
+0.0622259
+0.0633936
+0.0646145
+0.0658856
+0.067204
+0.0685672
+0.0699724
+0.0714171
+0.0728991
+0.074416
+0.0759658
+0.0775466
+0.122301
+0.122104
+0.121946
+0.121827
+0.120917
+0.119634
+0.118377
+0.117148
+0.115947
+0.114776
+0.113634
+0.112524
+0.111446
+0.1104
+0.109389
+0.108412
+0.107462
+0.106549
+0.105674
+0.104837
+0.104039
+0.103282
+0.102566
+0.101892
+0.101261
+0.100674
+0.0998381
+0.0980601
+0.096299
+0.0945559
+0.0928318
+0.0911277
+0.0894449
+0.0877843
+0.0861442
+0.0845288
+0.0829399
+0.081379
+0.0798476
+0.0783444
+0.0768693
+0.075429
+0.0740256
+0.0726611
+0.0713378
+0.0700579
+0.0688241
+0.0676387
+0.0665044
+0.0654237
+0.0643995
+0.0634344
+0.0625312
+0.0616926
+0.0606769
+0.0596466
+0.0586795
+0.0577792
+0.0569491
+0.0561921
+0.0555114
+0.0549096
+0.0543895
+0.0539534
+0.0536033
+0.053341
+0.0531677
+0.053073
+0.0530631
+0.0531437
+0.0533142
+0.0535739
+0.0539213
+0.0541009
+0.054143
+0.0542737
+0.0544922
+0.0547974
+0.055188
+0.0556621
+0.0562177
+0.0568473
+0.0575422
+0.0583113
+0.0591514
+0.0600598
+0.0610333
+0.062069
+0.0631636
+0.0643142
+0.0655179
+0.0667718
+0.0680732
+0.0694192
+0.0708075
+0.0722356
+0.0737011
+0.0752018
+0.0767358
+0.078301
+0.123621
+0.123426
+0.123269
+0.123152
+0.122626
+0.121361
+0.120123
+0.118911
+0.117729
+0.116575
+0.115451
+0.114359
+0.113298
+0.11227
+0.111275
+0.110311
+0.109378
+0.108481
+0.107622
+0.1068
+0.106017
+0.105274
+0.104572
+0.103911
+0.103292
+0.102283
+0.100501
+0.0987348
+0.096986
+0.0952555
+0.0935443
+0.0918526
+0.0901799
+0.0885298
+0.0869035
+0.0853026
+0.0837284
+0.0821824
+0.0806663
+0.0791786
+0.0777194
+0.0762951
+0.0749079
+0.0735598
+0.0722529
+0.0709896
+0.0697722
+0.0686032
+0.0674851
+0.0664204
+0.0654118
+0.0644619
+0.0635733
+0.0627486
+0.0617358
+0.060723
+0.0597732
+0.0588897
+0.0580755
+0.0573334
+0.0566663
+0.0560769
+0.0555677
+0.0551409
+0.0547985
+0.0545419
+0.0543724
+0.0542795
+0.0542699
+0.0543486
+0.0545154
+0.0547693
+0.0551093
+0.0552537
+0.055295
+0.0554229
+0.0556369
+0.0559359
+0.0563186
+0.0567832
+0.0573279
+0.0579504
+0.0586369
+0.0593917
+0.0602168
+0.0611094
+0.0620664
+0.0630851
+0.0641624
+0.0652954
+0.0664814
+0.0677174
+0.0690009
+0.0703292
+0.0716999
+0.0731105
+0.0745588
+0.0760427
+0.07756
+0.0791089
+0.124965
+0.124772
+0.124617
+0.124501
+0.12435
+0.123103
+0.121882
+0.120689
+0.119523
+0.118387
+0.117281
+0.116206
+0.115162
+0.11415
+0.113172
+0.112221
+0.111304
+0.110423
+0.109579
+0.108772
+0.108003
+0.107274
+0.106585
+0.105937
+0.104763
+0.102977
+0.101207
+0.0994532
+0.0977173
+0.0959983
+0.0942973
+0.0926169
+0.0909583
+0.0893226
+0.0877111
+0.0861251
+0.0845662
+0.0830358
+0.0815356
+0.0800641
+0.0786213
+0.0772137
+0.0758433
+0.074512
+0.0732222
+0.0719759
+0.0707755
+0.0696233
+0.0685218
+0.0674735
+0.0664809
+0.0655465
+0.0646728
+0.0638623
+0.0628528
+0.0618582
+0.0609262
+0.0600596
+0.0592614
+0.0585344
+0.0578811
+0.0573043
+0.0568061
+0.0563887
+0.0560538
+0.055803
+0.0556374
+0.0555462
+0.0555368
+0.0556138
+0.0557767
+0.056025
+0.0563573
+0.0564679
+0.0565083
+0.0566335
+0.0568429
+0.0571356
+0.0575103
+0.0579655
+0.0584992
+0.0591093
+0.0597917
+0.0605322
+0.0613419
+0.0622183
+0.0631586
+0.0641599
+0.0652195
+0.0663345
+0.0675022
+0.0687199
+0.069985
+0.071295
+0.0726474
+0.07404
+0.0754704
+0.0769367
+0.0784367
+0.0799686
+0.126332
+0.126142
+0.125988
+0.125873
+0.125794
+0.124859
+0.123655
+0.122479
+0.121331
+0.120212
+0.119123
+0.118064
+0.117037
+0.116042
+0.115077
+0.114141
+0.11324
+0.112374
+0.111544
+0.110752
+0.109997
+0.109281
+0.108605
+0.107275
+0.105486
+0.103712
+0.101955
+0.100212
+0.0984863
+0.0967795
+0.0950925
+0.0934265
+0.0917824
+0.0901617
+0.0885654
+0.0869951
+0.085452
+0.0839378
+0.082454
+0.0809991
+0.0795733
+0.0781829
+0.0768297
+0.0755159
+0.0742435
+0.0730146
+0.0718316
+0.0706966
+0.0696121
+0.0685805
+0.0676041
+0.0666854
+0.0658268
+0.0650308
+0.0640252
+0.0630491
+0.0621349
+0.0612855
+0.0605035
+0.0597915
+0.0591522
+0.0585878
+0.0581007
+0.0576926
+0.0573654
+0.0571203
+0.0569585
+0.0568691
+0.0568599
+0.0569351
+0.0570943
+0.0573368
+0.0576616
+0.0577398
+0.0577793
+0.0579018
+0.0581066
+0.058393
+0.0587597
+0.0592052
+0.0597278
+0.0603255
+0.0609961
+0.0617293
+0.0625236
+0.0633837
+0.0643069
+0.0652906
+0.0663321
+0.0674287
+0.0685778
+0.0697767
+0.071023
+0.0723142
+0.0736479
+0.0750219
+0.076434
+0.0778821
+0.0793643
+0.0808786
+0.127723
+0.127534
+0.127383
+0.127269
+0.127191
+0.126629
+0.125442
+0.124283
+0.123151
+0.122049
+0.120976
+0.119934
+0.118923
+0.117944
+0.116992
+0.116071
+0.115185
+0.114333
+0.113518
+0.112739
+0.111998
+0.111295
+0.109817
+0.108026
+0.106249
+0.104485
+0.102738
+0.101008
+0.0992963
+0.0976037
+0.0959312
+0.0942799
+0.0926511
+0.0910458
+0.0894653
+0.087911
+0.0863843
+0.0848867
+0.0834198
+0.0819821
+0.0805736
+0.0792008
+0.0778653
+0.0765693
+0.0753146
+0.0741035
+0.0729382
+0.0718207
+0.0707534
+0.0697387
+0.0687787
+0.067876
+0.0670326
+0.0662511
+0.0652501
+0.0642926
+0.0633964
+0.0625641
+0.0617982
+0.0611014
+0.0604759
+0.059924
+0.0594478
+0.059049
+0.0587293
+0.05849
+0.058332
+0.0582444
+0.0582354
+0.0583088
+0.0584643
+0.0587012
+0.0590184
+0.0590656
+0.0591042
+0.0592239
+0.0594242
+0.0597042
+0.0600629
+0.0604989
+0.0610104
+0.0615956
+0.0622525
+0.0629787
+0.0637587
+0.0646023
+0.0655083
+0.0664743
+0.0674975
+0.0685755
+0.0697056
+0.0708855
+0.0721126
+0.0733846
+0.0746992
+0.0760543
+0.0774475
+0.078877
+0.0803409
+0.0818371
+0.112447
+0.111254
+0.110091
+0.108959
+0.107743
+0.106545
+0.105379
+0.104246
+0.10314
+0.102038
+0.100955
+0.099908
+0.0988964
+0.0979161
+0.0969538
+0.0959672
+0.0950103
+0.0940525
+0.0931345
+0.0922543
+0.0914181
+0.0906272
+0.0898827
+0.0891232
+0.0883591
+0.0876431
+0.0869093
+0.0862055
+0.0853066
+0.0843304
+0.0833931
+0.0824769
+0.0814008
+0.0801576
+0.0789557
+0.0777969
+0.0766833
+0.0756136
+0.0745918
+0.0735107
+0.0724765
+0.0714945
+0.0705647
+0.0696832
+0.0688572
+0.0680917
+0.0673888
+0.0667504
+0.0661756
+0.0656544
+0.0651915
+0.0647883
+0.0644538
+0.0641923
+0.0639962
+0.0635478
+0.0629083
+0.0623088
+0.0617812
+0.0613274
+0.060949
+0.0606474
+0.0604238
+0.0602791
+0.0601972
+0.0601807
+0.0599199
+0.0594575
+0.0590728
+0.0587445
+0.0584559
+0.0582483
+0.0581196
+0.0580603
+0.0580693
+0.0581117
+0.0582362
+0.0584305
+0.0586705
+0.0589806
+0.059348
+0.0597543
+0.0602003
+0.0607221
+0.0613102
+0.0615609
+0.0618392
+0.0621935
+0.0626225
+0.0631246
+0.0636982
+0.0643413
+0.0650455
+0.0658072
+0.0666323
+0.0675184
+0.0684632
+0.0694643
+0.0705192
+0.0716255
+0.111249
+0.110043
+0.108867
+0.107723
+0.106591
+0.10538
+0.104201
+0.103054
+0.101833
+0.100636
+0.0994713
+0.0983399
+0.0972446
+0.0961868
+0.0951677
+0.0941885
+0.0932487
+0.0923463
+0.0914874
+0.0906732
+0.089905
+0.0891839
+0.0885112
+0.087888
+0.087134
+0.0864078
+0.0857002
+0.0849864
+0.0842073
+0.0832182
+0.0822682
+0.0810805
+0.0797723
+0.0785033
+0.0772757
+0.0760913
+0.0749523
+0.0738607
+0.0727952
+0.0716838
+0.0706228
+0.0696147
+0.0686616
+0.0677596
+0.0669099
+0.0661219
+0.0653977
+0.0647397
+0.0641498
+0.0636205
+0.0631434
+0.0627301
+0.0623844
+0.0621142
+0.0619116
+0.0616168
+0.0609799
+0.0603621
+0.0598174
+0.0593486
+0.0589575
+0.0586457
+0.0584144
+0.0582646
+0.0581813
+0.0581642
+0.058076
+0.057605
+0.0572078
+0.0568752
+0.0565776
+0.0563631
+0.0562302
+0.0561689
+0.0561845
+0.0562363
+0.0563649
+0.0565603
+0.0568083
+0.0571259
+0.057505
+0.0579182
+0.0583782
+0.0589162
+0.0595221
+0.0598208
+0.0601072
+0.0604717
+0.0609128
+0.0614289
+0.0620181
+0.0626784
+0.0634057
+0.0641869
+0.0650326
+0.0659402
+0.0669073
+0.0679313
+0.0690096
+0.0701398
+0.110081
+0.108862
+0.107673
+0.106517
+0.105288
+0.103945
+0.102632
+0.10135
+0.100098
+0.09888
+0.0976954
+0.096546
+0.0954312
+0.094353
+0.0933139
+0.092315
+0.0913561
+0.0904349
+0.0895579
+0.0887263
+0.0879415
+0.0872046
+0.0865169
+0.0858796
+0.0852938
+0.0847605
+0.0842807
+0.0838067
+0.0831344
+0.0821493
+0.0808778
+0.0795058
+0.0781712
+0.0768759
+0.0756218
+0.0744112
+0.073246
+0.0721286
+0.0710174
+0.0698777
+0.0687889
+0.0677535
+0.0667739
+0.0658526
+0.0649781
+0.0641663
+0.0634199
+0.0627411
+0.0621322
+0.0615944
+0.0611051
+0.060681
+0.0603237
+0.0600442
+0.0598345
+0.0596983
+0.0590655
+0.0584328
+0.0578699
+0.0573851
+0.0569806
+0.0566579
+0.0564184
+0.0562634
+0.0561784
+0.0561607
+0.0562209
+0.0557769
+0.0553667
+0.0550218
+0.0547227
+0.0545008
+0.0543633
+0.0542999
+0.054321
+0.0543826
+0.0545175
+0.054714
+0.05497
+0.0552958
+0.0556853
+0.0561075
+0.0565823
+0.0571372
+0.0577617
+0.0581112
+0.058406
+0.058781
+0.0592347
+0.0597653
+0.0603708
+0.0610489
+0.0617973
+0.0626014
+0.0634682
+0.0643979
+0.0653877
+0.0664351
+0.0675374
+0.0686918
+0.108945
+0.107713
+0.106467
+0.105049
+0.103657
+0.102293
+0.100959
+0.0996545
+0.0983817
+0.0971417
+0.0959356
+0.0947646
+0.0936284
+0.0925301
+0.0914712
+0.0904528
+0.0894766
+0.0885363
+0.0876402
+0.0867903
+0.0859877
+0.0852339
+0.0845302
+0.0838779
+0.083278
+0.0827318
+0.0822404
+0.0818047
+0.0814256
+0.0807703
+0.0793595
+0.0779609
+0.0765994
+0.075277
+0.0739959
+0.0727581
+0.0715661
+0.070422
+0.0692633
+0.0680942
+0.0669764
+0.0659125
+0.0649052
+0.063957
+0.0630632
+0.0622264
+0.0614565
+0.0607557
+0.0601267
+0.0595717
+0.0590777
+0.0586422
+0.0582724
+0.057983
+0.0577659
+0.0576247
+0.0571648
+0.0565208
+0.0559403
+0.0554387
+0.0550198
+0.0546856
+0.0544375
+0.0542767
+0.0541901
+0.0541717
+0.0542419
+0.0539759
+0.0535518
+0.0531941
+0.0528927
+0.0526638
+0.0525215
+0.0524559
+0.0524817
+0.0525469
+0.052692
+0.052894
+0.0531566
+0.0534927
+0.0538887
+0.0543248
+0.0548151
+0.0553877
+0.0560317
+0.0564349
+0.0567384
+0.0571243
+0.0575911
+0.0581367
+0.058759
+0.0594555
+0.0602237
+0.0610533
+0.0619418
+0.062894
+0.0639072
+0.0649784
+0.066105
+0.067284
+0.107841
+0.106366
+0.1049
+0.10346
+0.102047
+0.100662
+0.0993052
+0.0979789
+0.0966841
+0.0954209
+0.0941908
+0.092996
+0.091838
+0.090718
+0.0896376
+0.0885982
+0.0876013
+0.0866483
+0.0857356
+0.0848666
+0.0840457
+0.0832743
+0.0825539
+0.0818858
+0.0812712
+0.0807115
+0.0802077
+0.0797609
+0.079372
+0.0790379
+0.0778409
+0.0764414
+0.0750586
+0.0737086
+0.0723997
+0.0711342
+0.0699144
+0.0687429
+0.0675346
+0.0663351
+0.0651872
+0.0640936
+0.0630572
+0.0620808
+0.0611668
+0.0603038
+0.0595089
+0.058785
+0.0581346
+0.0575604
+0.0570604
+0.056614
+0.0562316
+0.0559317
+0.0557066
+0.0555602
+0.0552681
+0.0546185
+0.0540307
+0.0535112
+0.0530771
+0.0527305
+0.0524732
+0.0523064
+0.0522179
+0.0521989
+0.0522717
+0.0522046
+0.0517582
+0.0513947
+0.0510827
+0.0508548
+0.0507074
+0.0506395
+0.0506662
+0.050739
+0.0508879
+0.051103
+0.0513656
+0.0517133
+0.0521222
+0.052573
+0.0530795
+0.0536706
+0.054335
+0.0547949
+0.0551074
+0.0555047
+0.0559849
+0.0565461
+0.0571856
+0.0579011
+0.0586896
+0.0595456
+0.0604562
+0.0614315
+0.0624684
+0.0635639
+0.064715
+0.0659189
+0.106355
+0.104844
+0.103356
+0.101895
+0.100459
+0.0990516
+0.0976728
+0.0963222
+0.0950028
+0.093716
+0.0924632
+0.0912458
+0.0900652
+0.0889229
+0.0878205
+0.0867593
+0.085741
+0.0847671
+0.0838391
+0.0829562
+0.0821162
+0.0813265
+0.0805887
+0.0799041
+0.0792742
+0.0787003
+0.0781835
+0.0777251
+0.077326
+0.0769872
+0.0763511
+0.0749242
+0.0735344
+0.0721725
+0.0708352
+0.0695413
+0.0682931
+0.0670932
+0.0658335
+0.0646024
+0.0634232
+0.0622986
+0.0612318
+0.0602258
+0.0592838
+0.0584
+0.0575788
+0.0568303
+0.0561574
+0.0555627
+0.0550482
+0.0545947
+0.0542026
+0.0538913
+0.0536576
+0.0535056
+0.0533939
+0.0527386
+0.0521309
+0.0516047
+0.0511544
+0.0507947
+0.0505275
+0.0503543
+0.0502639
+0.0502441
+0.0503198
+0.0504431
+0.0499939
+0.0496243
+0.0493036
+0.0490762
+0.0489242
+0.0488537
+0.0488815
+0.0489624
+0.0491152
+0.0493407
+0.049606
+0.049966
+0.0503891
+0.0508553
+0.0513786
+0.0519891
+0.0526747
+0.0531945
+0.0535164
+0.0539254
+0.0544196
+0.0549967
+0.0556541
+0.056389
+0.0571984
+0.0580792
+0.0590145
+0.0600133
+0.0610742
+0.0621943
+0.0633704
+0.0645993
+0.104801
+0.103345
+0.101836
+0.100352
+0.098894
+0.0974617
+0.096058
+0.0946842
+0.0933416
+0.0920316
+0.0907555
+0.0895149
+0.0883112
+0.0871459
+0.0860207
+0.0849371
+0.0838966
+0.0829011
+0.081952
+0.081051
+0.0801997
+0.0793914
+0.0786354
+0.0779337
+0.0772877
+0.0766989
+0.0761685
+0.0756979
+0.0752879
+0.0749394
+0.0746505
+0.0734406
+0.0720226
+0.0706436
+0.0693048
+0.0679817
+0.0667043
+0.0654634
+0.0641598
+0.0628983
+0.0616865
+0.0605297
+0.0594311
+0.0583941
+0.057422
+0.0565169
+0.055668
+0.0548935
+0.0541965
+0.05358
+0.0530469
+0.0525837
+0.0521857
+0.0518625
+0.0516204
+0.0514623
+0.0513973
+0.0508836
+0.0502534
+0.0497119
+0.0492541
+0.0488804
+0.0486027
+0.0484226
+0.0483302
+0.0483096
+0.0483883
+0.0485658
+0.0482646
+0.0478816
+0.0475589
+0.0473231
+0.0471753
+0.0471022
+0.047131
+0.0472206
+0.0473774
+0.0476071
+0.047882
+0.0482549
+0.0486928
+0.0491751
+0.0497161
+0.0503468
+0.0510544
+0.0516375
+0.051969
+0.0523901
+0.0528987
+0.0534922
+0.0541678
+0.0549226
+0.0557533
+0.0566566
+0.0576201
+0.0586426
+0.0597279
+0.0608728
+0.0620739
+0.063328
+0.103208
+0.101823
+0.100339
+0.0988311
+0.0973486
+0.0958932
+0.0944662
+0.0930689
+0.0917027
+0.0903689
+0.089069
+0.0878046
+0.0865771
+0.0853882
+0.0842395
+0.0831326
+0.0820693
+0.0810513
+0.0800803
+0.079158
+0.0782862
+0.0774665
+0.0766935
+0.0759734
+0.0753102
+0.0747053
+0.0741602
+0.0736763
+0.0732547
+0.0728965
+0.0726027
+0.0719879
+0.0705462
+0.0691381
+0.0677712
+0.0664485
+0.0651505
+0.0638503
+0.0625131
+0.0612249
+0.0599795
+0.0587891
+0.0576575
+0.056588
+0.0555843
+0.05465
+0.0537786
+0.0529764
+0.0522539
+0.0516142
+0.0510606
+0.0505857
+0.0501766
+0.0498409
+0.0495962
+0.0494317
+0.049364
+0.0490562
+0.0484023
+0.0478398
+0.0473721
+0.0469843
+0.0466953
+0.0465078
+0.0464193
+0.0463979
+0.0464798
+0.0466645
+0.0465741
+0.0461771
+0.0458525
+0.0456079
+0.0454617
+0.0453889
+0.0454187
+0.0455176
+0.0456787
+0.0459126
+0.0461976
+0.046584
+0.0470374
+0.0475365
+0.048096
+0.0487476
+0.0494606
+0.0501279
+0.0504694
+0.0509029
+0.0514261
+0.0520364
+0.0527307
+0.0535058
+0.0543581
+0.0552842
+0.0562757
+0.0573222
+0.0584321
+0.0596018
+0.060828
+0.0621073
+0.101637
+0.10023
+0.0988516
+0.097334
+0.0958283
+0.0943495
+0.0928988
+0.0914776
+0.0900872
+0.0887291
+0.0874049
+0.086116
+0.0848641
+0.0836508
+0.0824779
+0.0813471
+0.0802602
+0.0792189
+0.0782252
+0.0772807
+0.0763875
+0.0755472
+0.0747617
+0.0740239
+0.073343
+0.0727218
+0.0721618
+0.0716643
+0.0712308
+0.0708624
+0.0705601
+0.0703248
+0.0691021
+0.0676698
+0.0662728
+0.0649195
+0.063613
+0.0622726
+0.0609007
+0.0595778
+0.0583049
+0.0570796
+0.0559134
+0.0548098
+0.053773
+0.0528067
+0.0519129
+0.0510814
+0.0503316
+0.0496672
+0.0490917
+0.048602
+0.0481807
+0.0478341
+0.0475823
+0.0474153
+0.0473447
+0.0472598
+0.0465806
+0.0459959
+0.0455092
+0.0451097
+0.0448086
+0.0446132
+0.0445241
+0.0445118
+0.0445972
+0.0447897
+0.0449268
+0.0445152
+0.0441888
+0.0439349
+0.0437847
+0.0437182
+0.0437491
+0.0438527
+0.0440234
+0.0442617
+0.0445572
+0.0449577
+0.0454267
+0.045944
+0.0465226
+0.0471959
+0.047914
+0.0486038
+0.0490217
+0.0494679
+0.0500062
+0.0506336
+0.0513469
+0.0521425
+0.0530168
+0.0539647
+0.0549711
+0.0560423
+0.057177
+0.0583719
+0.0596234
+0.0609279
+0.100088
+0.0986595
+0.0972591
+0.0958636
+0.0943344
+0.0928318
+0.091357
+0.0899114
+0.0884965
+0.0871136
+0.0857644
+0.0844505
+0.0831735
+0.0819352
+0.0807374
+0.0795819
+0.0784705
+0.0774052
+0.0763878
+0.0754204
+0.0745048
+0.0736431
+0.0728371
+0.0720883
+0.0713889
+0.0707506
+0.0701748
+0.0696632
+0.0692171
+0.0688379
+0.0685267
+0.0682844
+0.067698
+0.0662354
+0.0648138
+0.0634294
+0.0620915
+0.0607328
+0.0593254
+0.0579666
+0.0566599
+0.055404
+0.0542017
+0.0530626
+0.0519909
+0.0509908
+0.0500667
+0.0492109
+0.0484322
+0.0477414
+0.0471423
+0.0466368
+0.046202
+0.0458443
+0.0455814
+0.045415
+0.0453413
+0.0453733
+0.044792
+0.0441836
+0.0436768
+0.0432648
+0.0429508
+0.0427469
+0.0426545
+0.0426529
+0.042744
+0.0429449
+0.0432394
+0.0429008
+0.0425729
+0.0423093
+0.042155
+0.0420906
+0.0421227
+0.0422349
+0.0424167
+0.0426594
+0.042966
+0.0433811
+0.0438592
+0.0444024
+0.0450009
+0.0456904
+0.0464158
+0.0471143
+0.0476309
+0.04809
+0.0486435
+0.0492883
+0.0500208
+0.0508371
+0.0517335
+0.0526938
+0.053724
+0.0548195
+0.055979
+0.0571989
+0.0584755
+0.0598051
+0.0985645
+0.0971133
+0.0956902
+0.0942966
+0.0928682
+0.0913415
+0.0898423
+0.0883719
+0.0869318
+0.0855237
+0.084149
+0.0828095
+0.0815068
+0.0802428
+0.0790193
+0.0778383
+0.0767016
+0.0756114
+0.0745696
+0.0735782
+0.0726395
+0.0717553
+0.0709278
+0.070159
+0.069449
+0.0687926
+0.0682003
+0.0676737
+0.0672145
+0.0668239
+0.0665033
+0.0662536
+0.0660756
+0.0648433
+0.0633905
+0.0619809
+0.0606111
+0.0592341
+0.0577901
+0.0563944
+0.0550504
+0.0537621
+0.0525256
+0.0513493
+0.0502411
+0.0492055
+0.0482472
+0.0473679
+0.0465583
+0.0458393
+0.045215
+0.0446895
+0.0442433
+0.0438735
+0.0435988
+0.043433
+0.043356
+0.0433895
+0.0430406
+0.0424071
+0.0418788
+0.0414537
+0.0411258
+0.0409128
+0.0408165
+0.0408151
+0.0409242
+0.0411339
+0.0414381
+0.0413394
+0.0410089
+0.0407366
+0.040578
+0.0405117
+0.0405451
+0.0406708
+0.0408601
+0.0411028
+0.0414209
+0.0418513
+0.0423471
+0.0429174
+0.0435347
+0.044229
+0.0449671
+0.0456812
+0.046302
+0.0467741
+0.047343
+0.0480053
+0.048757
+0.0495942
+0.050504
+0.0514848
+0.0525386
+0.0536583
+0.0548424
+0.0560871
+0.0573884
+0.0587426
+0.0970662
+0.0955923
+0.0941462
+0.0927294
+0.0913431
+0.0898799
+0.0883558
+0.0868603
+0.0853948
+0.0839608
+0.0825601
+0.0811944
+0.0798654
+0.078575
+0.0773251
+0.0761178
+0.074955
+0.073839
+0.0727718
+0.0717557
+0.0707927
+0.0698852
+0.0690353
+0.0682452
+0.0675169
+0.0668491
+0.0662394
+0.0656971
+0.0652239
+0.0648214
+0.0644908
+0.0642333
+0.0640497
+0.0634963
+0.062012
+0.0605705
+0.0591747
+0.0577789
+0.0562983
+0.0548646
+0.0534822
+0.0521552
+0.0508879
+0.0496736
+0.0485272
+0.0474542
+0.0464597
+0.0455491
+0.0447133
+0.0439641
+0.0433128
+0.042764
+0.0423073
+0.0419246
+0.0416371
+0.0414634
+0.0413915
+0.0414266
+0.0413312
+0.040671
+0.0401198
+0.0396808
+0.0393382
+0.0391154
+0.0390146
+0.0390139
+0.039135
+0.0393601
+0.0396759
+0.0398374
+0.0394943
+0.0392233
+0.0390601
+0.038992
+0.0390267
+0.0391668
+0.0393633
+0.0396057
+0.0399357
+0.040382
+0.0408964
+0.0414945
+0.0421111
+0.0428299
+0.0435804
+0.0443102
+0.0450405
+0.0455257
+0.04611
+0.0467897
+0.0475607
+0.0484135
+0.0493385
+0.050342
+0.0514193
+0.0525629
+0.0537711
+0.05504
+0.0563655
+0.0577437
+0.0955885
+0.0940977
+0.0926283
+0.0911878
+0.0897778
+0.0883995
+0.0868992
+0.0853781
+0.0838867
+0.0824265
+0.0809993
+0.0796068
+0.0782508
+0.0769333
+0.0756564
+0.074422
+0.0732323
+0.0720896
+0.0709962
+0.0699542
+0.0689661
+0.0680343
+0.067161
+0.0663485
+0.0655992
+0.0649152
+0.0642933
+0.0637345
+0.0632466
+0.0628314
+0.0624903
+0.0622245
+0.0620349
+0.0619224
+0.0606715
+0.0592074
+0.057779
+0.0563659
+0.0548525
+0.0533809
+0.0519591
+0.0505921
+0.0492847
+0.0480394
+0.046853
+0.0457407
+0.0447082
+0.0437611
+0.0429008
+0.0421193
+0.0414391
+0.0408651
+0.0403928
+0.0400007
+0.0396992
+0.0395171
+0.0394508
+0.0394876
+0.0396456
+0.0389808
+0.0384053
+0.0379477
+0.0375932
+0.0373601
+0.0372545
+0.0372544
+0.0373811
+0.0376282
+0.0379583
+0.0383438
+0.0380456
+0.0377764
+0.0376069
+0.0375387
+0.0375747
+0.0377301
+0.037934
+0.0381756
+0.0385178
+0.0389804
+0.0395139
+0.0401181
+0.0407556
+0.0414991
+0.0422618
+0.0430071
+0.0437707
+0.0443489
+0.0449485
+0.0456455
+0.0464351
+0.047298
+0.0482445
+0.0492702
+0.0503705
+0.0515373
+0.052769
+0.0540614
+0.0554103
+0.0568117
+0.094137
+0.0926243
+0.0911377
+0.0896734
+0.0882391
+0.0868364
+0.0854668
+0.083927
+0.0824093
+0.0809225
+0.0794683
+0.0780484
+0.0766649
+0.0753197
+0.0740149
+0.0727526
+0.0715352
+0.070365
+0.0692443
+0.0681756
+0.0671613
+0.066204
+0.0653063
+0.0644704
+0.063699
+0.0629944
+0.0623588
+0.0617854
+0.061282
+0.0608534
+0.0605011
+0.0602265
+0.0600307
+0.0599143
+0.0593203
+0.0578397
+0.0564053
+0.0550039
+0.053452
+0.0519461
+0.0504851
+0.0490771
+0.0477282
+0.0464435
+0.0452229
+0.0440695
+0.0429969
+0.0420112
+0.0411187
+0.0403093
+0.0395979
+0.0389968
+0.0385072
+0.0381027
+0.0377891
+0.0375976
+0.0375333
+0.0375763
+0.0377423
+0.0373425
+0.0367414
+0.0362629
+0.0358971
+0.0356529
+0.0355423
+0.0355428
+0.0356757
+0.0359418
+0.0362917
+0.0367619
+0.0366706
+0.0363919
+0.0362159
+0.0361597
+0.0361972
+0.0363668
+0.0365802
+0.0368204
+0.0371751
+0.0376542
+0.0382072
+0.0388167
+0.0394752
+0.0402423
+0.0410179
+0.0417746
+0.042552
+0.0432395
+0.0438543
+0.0445684
+0.0453768
+0.0462594
+0.0472267
+0.0482741
+0.0493965
+0.0505858
+0.0518401
+0.0531552
+0.0545265
+0.05595
+0.0927145
+0.0911783
+0.0896692
+0.0881873
+0.0867284
+0.0853009
+0.0839063
+0.0825085
+0.0809643
+0.0794504
+0.0779687
+0.076521
+0.0751094
+0.0737358
+0.0724024
+0.0711116
+0.0698656
+0.0686669
+0.067518
+0.0664215
+0.0653801
+0.0643964
+0.063473
+0.0626127
+0.0618181
+0.0610918
+0.0604362
+0.0598481
+0.0593283
+0.0588855
+0.0585214
+0.0582374
+0.0580349
+0.0579145
+0.0578769
+0.0565056
+0.0550365
+0.0536125
+0.0521059
+0.0505599
+0.0490631
+0.0476147
+0.0462231
+0.0448953
+0.0436372
+0.0424457
+0.0413309
+0.0403045
+0.0393733
+0.0385387
+0.0377941
+0.0371638
+0.0366532
+0.0362361
+0.035911
+0.0357095
+0.0356417
+0.0356971
+0.0358719
+0.0357635
+0.0351354
+0.0346346
+0.0342572
+0.0340012
+0.0338852
+0.0338865
+0.0340258
+0.0343047
+0.0346835
+0.0351669
+0.0353677
+0.0350889
+0.0349064
+0.0348573
+0.0349028
+0.0350787
+0.0352995
+0.0355468
+0.0359141
+0.0364097
+0.0369755
+0.0375979
+0.0382774
+0.039068
+0.0398478
+0.0406217
+0.0414133
+0.0422148
+0.0428443
+0.0435749
+0.0444015
+0.0453031
+0.0462904
+0.0473585
+0.0485021
+0.0497128
+0.0509886
+0.052325
+0.0537175
+0.0551619
+0.0913225
+0.0897624
+0.0882292
+0.0867241
+0.0852473
+0.0837945
+0.0823744
+0.0809887
+0.0795533
+0.078012
+0.0765025
+0.0750265
+0.0735862
+0.0721837
+0.0708211
+0.0695009
+0.0682255
+0.0669974
+0.0658194
+0.0646941
+0.0636244
+0.0626131
+0.0616631
+0.0607772
+0.0599583
+0.0592091
+0.0585324
+0.0579288
+0.0573917
+0.0569338
+0.0565571
+0.0562633
+0.0560536
+0.055929
+0.05589
+0.0552263
+0.0537222
+0.0522446
+0.0507362
+0.0492323
+0.0476937
+0.0462079
+0.0447746
+0.0434026
+0.0420999
+0.0408731
+0.0397159
+0.0386466
+0.0376745
+0.0368073
+0.0360331
+0.0353715
+0.034835
+0.0344042
+0.0340702
+0.0338578
+0.0337863
+0.0338446
+0.0340288
+0.0342519
+0.0335955
+0.0330714
+0.0326819
+0.0324135
+0.0322918
+0.0322938
+0.03244
+0.0327325
+0.033142
+0.033639
+0.0340694
+0.0338715
+0.0336885
+0.0336376
+0.0336905
+0.0338727
+0.0340957
+0.0343517
+0.0347316
+0.0352439
+0.0358296
+0.0364702
+0.0371702
+0.0379779
+0.0387608
+0.0395566
+0.0403614
+0.0412345
+0.0419245
+0.0426709
+0.0435146
+0.0444342
+0.0454404
+0.046528
+0.0476915
+0.0489223
+0.0502182
+0.0515746
+0.0529868
+0.0544506
+0.0899622
+0.0883782
+0.0868205
+0.0852906
+0.0837901
+0.0823189
+0.0808729
+0.0794609
+0.078085
+0.0766093
+0.0750716
+0.0735669
+0.0720974
+0.0706653
+0.0692729
+0.0679226
+0.066617
+0.0653587
+0.0641506
+0.0629956
+0.0618965
+0.0608565
+0.0598786
+0.0589659
+0.0581214
+0.0573483
+0.0566494
+0.0560275
+0.055474
+0.0550001
+0.0546101
+0.0543057
+0.0540884
+0.0539593
+0.0539189
+0.0539675
+0.0524664
+0.0509341
+0.0493857
+0.0478802
+0.0463875
+0.0448584
+0.0433861
+0.0419711
+0.0406225
+0.0393497
+0.0381584
+0.0370442
+0.0360288
+0.035121
+0.0343217
+0.0336264
+0.0330618
+0.0326083
+0.0322732
+0.0320488
+0.0319733
+0.0320339
+0.0322285
+0.0325696
+0.0321312
+0.0315829
+0.0311792
+0.0308996
+0.0307719
+0.0307748
+0.0309282
+0.0312348
+0.0316589
+0.0321878
+0.0328381
+0.0327335
+0.0325727
+0.03252
+0.0325747
+0.0327631
+0.0329936
+0.033258
+0.0336503
+0.0341788
+0.0347825
+0.035442
+0.036162
+0.0369664
+0.0377696
+0.0385867
+0.0393962
+0.0402819
+0.041101
+0.0418621
+0.0427218
+0.0436581
+0.0446817
+0.0457874
+0.0469693
+0.0482185
+0.0495328
+0.0509074
+0.0523377
+0.0538191
+0.0886352
+0.087027
+0.0854447
+0.0838898
+0.0823637
+0.0808683
+0.0794029
+0.0779643
+0.0765614
+0.0751962
+0.073678
+0.0721443
+0.0706452
+0.0691831
+0.0677602
+0.0663791
+0.0650425
+0.0637532
+0.0625141
+0.0613282
+0.0601987
+0.0591288
+0.0581219
+0.0571811
+0.0563099
+0.0555116
+0.0547893
+0.054146
+0.0535765
+0.0530857
+0.0526815
+0.0523659
+0.0521406
+0.0520066
+0.0519647
+0.0520151
+0.0512736
+0.0496857
+0.0480971
+0.04655
+0.0450521
+0.0435773
+0.0420602
+0.0406046
+0.039212
+0.0378918
+0.0366552
+0.0355024
+0.0344416
+0.0334908
+0.0326594
+0.0319363
+0.0313413
+0.0308634
+0.0305276
+0.0302903
+0.0302104
+0.0302734
+0.0304793
+0.0308398
+0.0307534
+0.0301801
+0.0297573
+0.0294709
+0.0293369
+0.0293409
+0.0295017
+0.0298227
+0.03026
+0.0308231
+0.0315013
+0.0317062
+0.031563
+0.0315153
+0.0315717
+0.031766
+0.0320037
+0.0322763
+0.0326803
+0.0332235
+0.0338449
+0.0345225
+0.0352612
+0.0360596
+0.0368821
+0.037707
+0.0385228
+0.0394281
+0.0403797
+0.0411542
+0.0420283
+0.0429797
+0.0440192
+0.045141
+0.0463394
+0.0476051
+0.0489359
+0.0503269
+0.0517732
+0.0532703
+0.0873431
+0.0857106
+0.0841035
+0.0825233
+0.0809715
+0.0794499
+0.07796
+0.0764957
+0.0750653
+0.0736724
+0.072319
+0.0707609
+0.0692319
+0.0677392
+0.0662854
+0.0648729
+0.0635046
+0.0621834
+0.0609124
+0.0596947
+0.0585337
+0.0574328
+0.0563955
+0.0554255
+0.0545263
+0.0537014
+0.0529544
+0.0522885
+0.0516986
+0.0511898
+0.0507705
+0.050443
+0.050209
+0.0500698
+0.0500263
+0.0500787
+0.0501448
+0.0484937
+0.0468754
+0.0452868
+0.0437457
+0.042262
+0.0408089
+0.039307
+0.0378723
+0.0365072
+0.035222
+0.0340207
+0.0329122
+0.0319158
+0.0310423
+0.0302967
+0.0296724
+0.0291786
+0.0288283
+0.0285916
+0.028507
+0.0285726
+0.0287906
+0.0291719
+0.0294742
+0.0288755
+0.0284333
+0.0281403
+0.028
+0.028005
+0.0281734
+0.0285031
+0.0289594
+0.0295472
+0.0302541
+0.0307535
+0.0306532
+0.0306206
+0.0306925
+0.0308923
+0.0311367
+0.0314168
+0.031831
+0.0323627
+0.0330072
+0.0337099
+0.0344592
+0.0352653
+0.0361032
+0.0369237
+0.0377564
+0.0386797
+0.0396691
+0.0405523
+0.0414392
+0.0424038
+0.043457
+0.0445931
+0.0458057
+0.0470858
+0.0484309
+0.0498359
+0.0512961
+0.0528068
+0.0860789
+0.0844244
+0.0827947
+0.0811914
+0.0796153
+0.0780672
+0.0765504
+0.075062
+0.0736038
+0.0721827
+0.0708008
+0.0694156
+0.0678589
+0.0663363
+0.064851
+0.0634066
+0.062006
+0.0606521
+0.0593483
+0.0580978
+0.0569043
+0.0557712
+0.0547025
+0.0537019
+0.0527733
+0.0519206
+0.0511476
+0.0504579
+0.0498463
+0.0493184
+0.0488831
+0.0485428
+0.0482996
+0.0481549
+0.0481096
+0.0481641
+0.0483179
+0.0473643
+0.0457098
+0.0440897
+0.0425121
+0.0409838
+0.0395178
+0.0380912
+0.0366089
+0.0352006
+0.03387
+0.0326189
+0.0314611
+0.0304172
+0.0294993
+0.0287137
+0.0280595
+0.027555
+0.0271941
+0.0269639
+0.0268742
+0.0269425
+0.0271736
+0.0275773
+0.028145
+0.027683
+0.0272215
+0.0269182
+0.0267715
+0.0267819
+0.026958
+0.0272947
+0.0277709
+0.0283834
+0.0291185
+0.0298808
+0.0298767
+0.0298433
+0.0299476
+0.0301319
+0.030403
+0.0306756
+0.0310863
+0.0316282
+0.0322872
+0.0330054
+0.0337717
+0.034567
+0.0354201
+0.036256
+0.0371037
+0.0380429
+0.0390484
+0.0400614
+0.0409589
+0.0419345
+0.0429993
+0.0441471
+0.0453717
+0.0466637
+0.0480205
+0.0494373
+0.0509089
+0.0524307
+0.08485
+0.083171
+0.0815163
+0.0798873
+0.0782858
+0.0767134
+0.075172
+0.0736634
+0.0721792
+0.0707295
+0.0693186
+0.0679491
+0.0665194
+0.0649678
+0.0634535
+0.0619797
+0.0605488
+0.0591624
+0.0578249
+0.0565408
+0.0553136
+0.0541473
+0.0530459
+0.0520134
+0.0510541
+0.0501722
+0.0493718
+0.048657
+0.0480224
+0.0474743
+0.0470219
+0.046668
+0.046415
+0.0462644
+0.0462173
+0.046274
+0.046434
+0.046311
+0.0446175
+0.0429611
+0.0413464
+0.0397851
+0.0382733
+0.0368295
+0.035436
+0.0339791
+0.0326044
+0.0313078
+0.0300996
+0.0290067
+0.0280427
+0.0272151
+0.0265284
+0.0259955
+0.0256379
+0.025421
+0.0253257
+0.025397
+0.025642
+0.0260694
+0.0266556
+0.0266177
+0.0261374
+0.0258217
+0.0256688
+0.0256856
+0.0258692
+0.026214
+0.0267095
+0.0273458
+0.0281081
+0.0289913
+0.0292314
+0.0292099
+0.0293165
+0.0295047
+0.0297815
+0.0300597
+0.0304787
+0.0310313
+0.0317025
+0.0324338
+0.0332147
+0.0339944
+0.0348615
+0.0357104
+0.0365708
+0.0375225
+0.0385424
+0.039613
+0.0405913
+0.0415756
+0.0426493
+0.0438062
+0.0450401
+0.0463414
+0.0477074
+0.0491331
+0.0506136
+0.052144
+0.0836604
+0.081957
+0.0802773
+0.0786227
+0.0769949
+0.0753955
+0.0738266
+0.07229
+0.0707876
+0.069315
+0.0678748
+0.0664756
+0.06512
+0.0636422
+0.0620964
+0.0605896
+0.0591256
+0.0577076
+0.0563391
+0.0550238
+0.0537647
+0.0525646
+0.0514292
+0.0503636
+0.0493723
+0.0484598
+0.0476306
+0.0468892
+0.0462295
+0.0456598
+0.0451893
+0.044821
+0.0445574
+0.0444006
+0.0443515
+0.0444105
+0.0445773
+0.0447514
+0.0436079
+0.0419156
+0.0402601
+0.0386568
+0.0371135
+0.0356258
+0.0341998
+0.0328578
+0.0314347
+0.0300992
+0.0288404
+0.0276979
+0.0266866
+0.0258156
+0.0250906
+0.0245326
+0.0241534
+0.023967
+0.023866
+0.0239523
+0.0242119
+0.0246642
+0.0252679
+0.0256954
+0.0251975
+0.0248704
+0.0247115
+0.024729
+0.0249196
+0.0252774
+0.0257909
+0.0264493
+0.0272367
+0.0281473
+0.0287284
+0.028716
+0.0288275
+0.029019
+0.0292885
+0.0295936
+0.0300191
+0.03058
+0.0312606
+0.0320023
+0.0327923
+0.0335552
+0.0344334
+0.0352927
+0.0361579
+0.0371124
+0.0381557
+0.0392368
+0.0403276
+0.0413298
+0.0424097
+0.043573
+0.0448133
+0.046121
+0.0474933
+0.0489253
+0.0504119
+0.0519483
+0.0825119
+0.0807843
+0.0790796
+0.0773994
+0.0757453
+0.074119
+0.0725225
+0.0709576
+0.0694264
+0.0679267
+0.0664653
+0.0650424
+0.0636563
+0.0623164
+0.0607867
+0.0592479
+0.0577499
+0.0562972
+0.0548936
+0.0535428
+0.052249
+0.0510165
+0.0498498
+0.0487537
+0.0477315
+0.0467873
+0.0459279
+0.0451575
+0.0444663
+0.0438738
+0.0433838
+0.0430001
+0.0427253
+0.0425617
+0.0425105
+0.0425721
+0.042746
+0.0428826
+0.0426728
+0.0409566
+0.0392629
+0.0376197
+0.0360321
+0.0345106
+0.0330456
+0.0316547
+0.0303583
+0.0289794
+0.0276938
+0.0265019
+0.0254432
+0.0245321
+0.0237681
+0.0231847
+0.0227831
+0.0225878
+0.0225127
+0.0226183
+0.0229012
+0.02337
+0.0240001
+0.0248068
+0.0244185
+0.0240813
+0.0239172
+0.0239352
+0.0241321
+0.0245014
+0.0250308
+0.0257086
+0.0265181
+0.0274525
+0.0282645
+0.0283818
+0.0284947
+0.0286712
+0.0289439
+0.0292619
+0.0297143
+0.0302808
+0.0309555
+0.0317165
+0.0324849
+0.0332549
+0.0341408
+0.0350012
+0.0358662
+0.0368283
+0.0378872
+0.0389803
+0.0400881
+0.0411827
+0.0422824
+0.0434491
+0.0446929
+0.0460039
+0.0473797
+0.048815
+0.0503048
+0.0518444
+0.0814061
+0.0796545
+0.0779251
+0.0762194
+0.0745392
+0.072886
+0.0712618
+0.0696687
+0.0681084
+0.0665791
+0.0650875
+0.0636364
+0.0622286
+0.0608642
+0.0595271
+0.0579562
+0.0564257
+0.0549381
+0.0534988
+0.0521119
+0.0507816
+0.0495126
+0.0483096
+0.0471777
+0.0461222
+0.0451484
+0.0442616
+0.0434613
+0.0427427
+0.0421259
+0.0416154
+0.0412152
+0.0409284
+0.0407576
+0.0407041
+0.0407684
+0.04095
+0.0410456
+0.0408264
+0.0400826
+0.0383625
+0.0366793
+0.0350491
+0.0334829
+0.0319902
+0.0305615
+0.0292166
+0.0279788
+0.026657
+0.0254274
+0.024322
+0.0233701
+0.022581
+0.021968
+0.0215488
+0.0213422
+0.0212993
+0.0214108
+0.0217095
+0.02221
+0.0228723
+0.023711
+0.0238162
+0.0234707
+0.0233023
+0.0233209
+0.0235229
+0.0239016
+0.024444
+0.0251377
+0.0259649
+0.0269178
+0.0276118
+0.0275205
+0.0275958
+0.0278179
+0.0282089
+0.0287619
+0.0294677
+0.030132
+0.0307862
+0.0315792
+0.0323234
+0.0330972
+0.0339677
+0.0348248
+0.0357058
+0.0366731
+0.0377242
+0.0388423
+0.0399573
+0.0411228
+0.0422482
+0.0434273
+0.044671
+0.0459823
+0.0473587
+0.0487946
+0.050285
+0.0518235
+0.0803448
+0.0785695
+0.0768157
+0.0750849
+0.0733786
+0.0716987
+0.070047
+0.0684256
+0.0668363
+0.0652772
+0.0637551
+0.062273
+0.0608336
+0.0594402
+0.0580959
+0.0567182
+0.0551543
+0.053634
+0.0521587
+0.0507352
+0.0493678
+0.0480615
+0.0468213
+0.0456525
+0.0445608
+0.0435521
+0.0426322
+0.0418069
+0.0410636
+0.0404212
+0.0398889
+0.0394711
+0.0391716
+0.0389931
+0.0389372
+0.0390045
+0.0391942
+0.0392311
+0.0390157
+0.0389086
+0.037544
+0.035836
+0.0341784
+0.0325704
+0.0310338
+0.0295798
+0.0281992
+0.0269146
+0.0257526
+0.0245022
+0.0233529
+0.0223598
+0.0215444
+0.0209086
+0.0204685
+0.0202508
+0.0202214
+0.0203678
+0.0206818
+0.0212074
+0.0219003
+0.0227738
+0.0233832
+0.0230531
+0.0228816
+0.0229005
+0.0231062
+0.0234916
+0.0240432
+0.0247481
+0.025588
+0.0265227
+0.0268458
+0.0267519
+0.0268294
+0.0270578
+0.0274596
+0.0280274
+0.0287393
+0.0295769
+0.0305488
+0.0315656
+0.0322925
+0.0330753
+0.0339276
+0.0347857
+0.0356684
+0.0366407
+0.0376881
+0.0388072
+0.0399445
+0.0411122
+0.0423073
+0.0435028
+0.0447443
+0.0460535
+0.0474278
+0.0488617
+0.0503502
+0.0518867
+0.0793298
+0.0775313
+0.0757535
+0.0739978
+0.0722659
+0.0705595
+0.0688804
+0.0672309
+0.0656127
+0.0640238
+0.0624712
+0.0609579
+0.0594867
+0.0580609
+0.056684
+0.0553595
+0.0539411
+0.0523859
+0.0508775
+0.0494173
+0.0480124
+0.0466681
+0.0453898
+0.0441832
+0.0430543
+0.0420095
+0.0410549
+0.0401973
+0.0394348
+0.0387654
+0.03821
+0.0377737
+0.0374606
+0.0372739
+0.0372154
+0.0372858
+0.0374842
+0.0374517
+0.0372363
+0.0371277
+0.0367897
+0.0350937
+0.0334058
+0.0317775
+0.0302063
+0.0287104
+0.0273084
+0.0259918
+0.0247867
+0.023723
+0.0225557
+0.0215258
+0.0206775
+0.0200336
+0.0195738
+0.0193461
+0.0193153
+0.0194713
+0.0198361
+0.0203698
+0.0210898
+0.0220051
+0.022988
+0.0227984
+0.0226657
+0.0226848
+0.0228924
+0.0232814
+0.0238378
+0.0245487
+0.025368
+0.0263013
+0.0262409
+0.0261448
+0.0262234
+0.0264571
+0.0268678
+0.0274361
+0.0281422
+0.028997
+0.0299877
+0.0311015
+0.0323244
+0.033179
+0.0340288
+0.0348844
+0.0357647
+0.0367328
+0.0377791
+0.0388956
+0.0400306
+0.041206
+0.0424137
+0.0436762
+0.0449245
+0.0462286
+0.0475979
+0.0490268
+0.0505103
+0.0520421
+0.078363
+0.0765418
+0.0747404
+0.0729603
+0.0712032
+0.0694706
+0.0677647
+0.0660873
+0.0644404
+0.0628218
+0.0612388
+0.0596942
+0.0581911
+0.0567327
+0.0553227
+0.0539649
+0.0526631
+0.0512008
+0.0496565
+0.0481616
+0.046719
+0.0453364
+0.0440194
+0.0427742
+0.0416071
+0.0405249
+0.0395346
+0.0386432
+0.0378524
+0.0371545
+0.0365747
+0.0361186
+0.0357911
+0.0355956
+0.0355344
+0.035608
+0.0358158
+0.0357179
+0.0354919
+0.0353835
+0.0354011
+0.0343992
+0.0327297
+0.0310947
+0.0295015
+0.0279858
+0.0265456
+0.0252137
+0.0239824
+0.0228814
+0.0219369
+0.0208766
+0.0200008
+0.0193347
+0.0188691
+0.0186327
+0.018624
+0.0187887
+0.0191665
+0.0197156
+0.0204585
+0.0213898
+0.022024
+0.022667
+0.0226198
+0.0226796
+0.0228872
+0.0232763
+0.0238329
+0.0245145
+0.0253267
+0.0259933
+0.0258053
+0.0257032
+0.0257558
+0.0259936
+0.0264116
+0.0269883
+0.0277058
+0.0285737
+0.0295786
+0.0307072
+0.0319453
+0.0332628
+0.03427
+0.0351197
+0.0359941
+0.0369547
+0.0379965
+0.0391068
+0.040236
+0.0414055
+0.0426292
+0.0438894
+0.0452102
+0.0465063
+0.0478676
+0.0492887
+0.0507646
+0.052289
+0.077446
+0.0756027
+0.0737784
+0.0719746
+0.0701927
+0.0684347
+0.0667022
+0.0649974
+0.0633222
+0.0616742
+0.0600609
+0.0584852
+0.0569502
+0.0554593
+0.0540161
+0.0526245
+0.0512888
+0.0500133
+0.0485036
+0.0469721
+0.0454918
+0.0440707
+0.0427147
+0.0414303
+0.0402242
+0.0391038
+0.0380765
+0.0371501
+0.0363269
+0.0355991
+0.0349935
+0.0345166
+0.0341737
+0.0339689
+0.0339047
+0.0339819
+0.0341996
+0.0340368
+0.0337996
+0.0336914
+0.03371
+0.033829
+0.0321299
+0.0304935
+0.0289297
+0.0273872
+0.025929
+0.0245636
+0.0233245
+0.0222047
+0.0212379
+0.020429
+0.0195332
+0.0188505
+0.0183727
+0.0181299
+0.0181501
+0.0183105
+0.0186986
+0.0192496
+0.0199514
+0.0206531
+0.0212431
+0.0219127
+0.0225703
+0.0228635
+0.0230905
+0.0234765
+0.0240285
+0.0246671
+0.0254744
+0.0257828
+0.0255176
+0.0254142
+0.0254675
+0.0257079
+0.0261305
+0.0267133
+0.027438
+0.028314
+0.0293279
+0.0304658
+0.0317132
+0.03304
+0.034455
+0.035489
+0.0363539
+0.0373041
+0.038338
+0.0394387
+0.0405578
+0.0417193
+0.0429554
+0.0442063
+0.045528
+0.046869
+0.0482201
+0.0496311
+0.0510971
+0.0526135
+0.0765808
+0.0747161
+0.0728696
+0.0710427
+0.0692369
+0.0674539
+0.0656956
+0.0639639
+0.0622609
+0.0605841
+0.058941
+0.0573346
+0.0557679
+0.0542445
+0.052768
+0.0513426
+0.0499727
+0.0486628
+0.0474179
+0.0458564
+0.0443389
+0.0428796
+0.0414847
+0.040161
+0.0389156
+0.0377563
+0.0366913
+0.0357291
+0.0348723
+0.0341135
+0.033481
+0.0329822
+0.0326232
+0.0324086
+0.0323414
+0.0324223
+0.0326503
+0.0324166
+0.0321675
+0.0320598
+0.0320793
+0.032248
+0.0316575
+0.0300073
+0.0284196
+0.0269146
+0.0254671
+0.0240756
+0.02281
+0.0216923
+0.0207163
+0.0199189
+0.0192895
+0.0185979
+0.0181292
+0.0178831
+0.0178821
+0.0180149
+0.0183748
+0.0188193
+0.0194908
+0.0200239
+0.0206505
+0.0213574
+0.0220315
+0.0228959
+0.0234628
+0.0238655
+0.0243743
+0.0248669
+0.0254855
+0.0256823
+0.025416
+0.0253123
+0.0253657
+0.0256071
+0.0260313
+0.0266163
+0.0273436
+0.0282226
+0.0292396
+0.0303808
+0.03162
+0.0329485
+0.0343655
+0.0358604
+0.0368402
+0.0377776
+0.0388004
+0.0398769
+0.0409831
+0.0421447
+0.0433717
+0.0446287
+0.0459383
+0.0472918
+0.0486637
+0.0500633
+0.0515171
+0.0530215
+0.075769
+0.0738839
+0.0720161
+0.0701669
+0.068338
+0.0665309
+0.0647475
+0.0629898
+0.0612597
+0.0595547
+0.0578824
+0.0562457
+0.0546478
+0.0530923
+0.0515829
+0.0501238
+0.0487195
+0.047375
+0.0460954
+0.0448164
+0.0432625
+0.0417658
+0.0403325
+0.0389697
+0.0376851
+0.0364869
+0.0353839
+0.0343852
+0.0334973
+0.0327066
+0.0320464
+0.0315249
+0.0311491
+0.0309243
+0.0308537
+0.0309386
+0.0311775
+0.030867
+0.0306052
+0.0304978
+0.0305189
+0.0306961
+0.0310274
+0.0296055
+0.0280058
+0.0264852
+0.0250492
+0.0237289
+0.022498
+0.0213639
+0.0204028
+0.0196081
+0.0190177
+0.0185672
+0.0181146
+0.0179029
+0.0178206
+0.0178891
+0.0181332
+0.0185903
+0.0191892
+0.0196204
+0.0202595
+0.0210119
+0.0217015
+0.0225519
+0.0234806
+0.0239884
+0.024427
+0.0250105
+0.0256257
+0.0257683
+0.0255029
+0.0253995
+0.0254528
+0.0256934
+0.0261162
+0.0266993
+0.0274244
+0.0283009
+0.0293152
+0.0304336
+0.0316606
+0.0329875
+0.0344029
+0.0358962
+0.0374296
+0.0383561
+0.0393575
+0.0404252
+0.0415197
+0.0426785
+0.0438905
+0.0451366
+0.0464313
+0.0477847
+0.0491837
+0.0505813
+0.0520259
+0.053516
+0.0750124
+0.0731078
+0.0712197
+0.0693493
+0.0674982
+0.065668
+0.0638605
+0.0620777
+0.0603215
+0.0585892
+0.0568885
+0.0552223
+0.053594
+0.0520069
+0.050465
+0.0489727
+0.0475344
+0.0461554
+0.044841
+0.0435971
+0.0422566
+0.0407229
+0.0392515
+0.0378499
+0.0365259
+0.0352883
+0.0341466
+0.0331106
+0.0321905
+0.0313839
+0.0306953
+0.0301504
+0.0297573
+0.0295218
+0.029448
+0.0295368
+0.029787
+0.029399
+0.0291241
+0.0290124
+0.0290399
+0.0292261
+0.0295739
+0.0293078
+0.0276909
+0.0261576
+0.0247161
+0.0233865
+0.0221906
+0.0211279
+0.0202353
+0.0195135
+0.018947
+0.0185952
+0.0183293
+0.0180255
+0.0178389
+0.0178659
+0.0181104
+0.0185876
+0.0190204
+0.0194567
+0.020101
+0.0208591
+0.0215684
+0.0224096
+0.0233439
+0.0242407
+0.0246747
+0.0252023
+0.025762
+0.0259638
+0.0257764
+0.0256629
+0.0257156
+0.0259538
+0.0263725
+0.0269351
+0.027654
+0.0285234
+0.029526
+0.0306328
+0.0318521
+0.0331714
+0.0345793
+0.0360653
+0.0376203
+0.039041
+0.0400253
+0.0410756
+0.0421635
+0.0433166
+0.044506
+0.0457404
+0.0470185
+0.048362
+0.0497494
+0.0511719
+0.0526112
+0.0540949
+0.0743128
+0.0723898
+0.0704824
+0.0685919
+0.0667198
+0.0648676
+0.0630372
+0.0612304
+0.0594492
+0.0576907
+0.0559627
+0.0542681
+0.0526102
+0.0509926
+0.0494191
+0.0478941
+0.0464225
+0.0450093
+0.0436605
+0.042382
+0.0411804
+0.0397734
+0.0382655
+0.0368264
+0.0354642
+0.0341882
+0.0330085
+0.0319356
+0.0309806
+0.0301549
+0.0294453
+0.0288769
+0.0284661
+0.02822
+0.0281427
+0.0282356
+0.0284796
+0.028025
+0.0277364
+0.0276191
+0.0276509
+0.0278464
+0.0282112
+0.0287387
+0.0274689
+0.0259679
+0.0245343
+0.023207
+0.0220136
+0.0209428
+0.0200541
+0.019357
+0.0188454
+0.0184409
+0.0182469
+0.0181748
+0.018083
+0.0181097
+0.0183509
+0.0187777
+0.0190557
+0.0195388
+0.0201805
+0.0209357
+0.0216425
+0.0224809
+0.0234124
+0.0244497
+0.0248356
+0.0253391
+0.025916
+0.026061
+0.0260094
+0.0259482
+0.0260554
+0.0263258
+0.0267733
+0.0273362
+0.0280448
+0.0289024
+0.0298923
+0.0309861
+0.032192
+0.0334979
+0.0348925
+0.0363658
+0.0379084
+0.0395083
+0.0407999
+0.0418308
+0.0429069
+0.0440471
+0.0452165
+0.0464397
+0.0476991
+0.049024
+0.0503958
+0.0518192
+0.0532632
+0.0547366
+0.0736655
+0.0717251
+0.0697996
+0.0678901
+0.0659981
+0.0641251
+0.0622728
+0.0604432
+0.0586383
+0.0568606
+0.0551085
+0.0533868
+0.0517007
+0.0500536
+0.0484496
+0.0468931
+0.0453891
+0.0439427
+0.0425601
+0.0412475
+0.0400118
+0.0388605
+0.0373821
+0.0359075
+0.0345091
+0.0331964
+0.0319801
+0.0308715
+0.0298826
+0.0290256
+0.028299
+0.0277071
+0.0272788
+0.0270218
+0.026941
+0.0270381
+0.0272093
+0.0267331
+0.0264304
+0.0263073
+0.0263662
+0.0265735
+0.0269555
+0.0275072
+0.0273356
+0.0258326
+0.0244269
+0.023122
+0.0219288
+0.020879
+0.0199875
+0.0192783
+0.0187414
+0.0183351
+0.0181619
+0.0181286
+0.0182117
+0.0184241
+0.0187558
+0.019018
+0.0193406
+0.0198217
+0.0204857
+0.0212392
+0.0219362
+0.0227638
+0.0236842
+0.0246565
+0.0251658
+0.0256628
+0.0262366
+0.0263407
+0.026148
+0.0260871
+0.0261938
+0.0264628
+0.026908
+0.0275113
+0.0282623
+0.0291487
+0.0301653
+0.0313024
+0.0325474
+0.0338884
+0.0353
+0.0367774
+0.0383199
+0.0399033
+0.0415409
+0.0426851
+0.0437402
+0.0448592
+0.046014
+0.0472286
+0.0484692
+0.0497737
+0.0511254
+0.052529
+0.0539851
+0.0554488
+0.0730745
+0.071118
+0.0691756
+0.0672484
+0.0653378
+0.0634453
+0.0615726
+0.0597215
+0.0578942
+0.0560928
+0.0543201
+0.052579
+0.0508692
+0.0491944
+0.0475614
+0.0459749
+0.0444397
+0.0429614
+0.0415461
+0.0402004
+0.0389315
+0.0377473
+0.0366001
+0.0350925
+0.0336601
+0.0323129
+0.0310618
+0.029919
+0.0288974
+0.0280102
+0.0272653
+0.0266506
+0.0262049
+0.0259373
+0.0258532
+0.0259544
+0.0260614
+0.0255638
+0.0252471
+0.0251182
+0.02518
+0.025426
+0.025825
+0.0264003
+0.0271235
+0.0258348
+0.0244293
+0.023136
+0.0219522
+0.0209219
+0.0200786
+0.0193775
+0.0188784
+0.0184895
+0.0183178
+0.0183355
+0.0184565
+0.0187428
+0.0191552
+0.019503
+0.0198645
+0.0203332
+0.020981
+0.0217518
+0.0224409
+0.0232506
+0.0241524
+0.0249583
+0.0256793
+0.0261665
+0.0266089
+0.0266949
+0.0264678
+0.0264077
+0.026513
+0.0267744
+0.0271948
+0.0277821
+0.0285259
+0.0294044
+0.0304124
+0.0315406
+0.0327766
+0.0341086
+0.0355114
+0.0369803
+0.0385179
+0.0401162
+0.0417683
+0.043468
+0.0446655
+0.0457619
+0.0468944
+0.0480922
+0.0493247
+0.0506071
+0.0519371
+0.0533194
+0.0547545
+0.0562374
+0.0725445
+0.0705737
+0.0686159
+0.0666725
+0.0647449
+0.0628346
+0.0609431
+0.0590723
+0.0572242
+0.0554011
+0.0536056
+0.0518404
+0.0501088
+0.0484144
+0.046759
+0.0451443
+0.0435799
+0.0420714
+0.0406251
+0.0392478
+0.0379471
+0.0367311
+0.0356009
+0.0343772
+0.0329137
+0.0315346
+0.0302514
+0.0290768
+0.0280245
+0.0271087
+0.0263437
+0.0257205
+0.0252585
+0.0249808
+0.0248934
+0.0249985
+0.0250529
+0.0245349
+0.0242047
+0.0240702
+0.0241347
+0.0243937
+0.0248093
+0.0254077
+0.0261673
+0.0260139
+0.0246152
+0.0233311
+0.0221513
+0.0211307
+0.0202961
+0.0196495
+0.0191575
+0.0188448
+0.0187304
+0.018787
+0.0189152
+0.019283
+0.0196141
+0.0200312
+0.0205002
+0.0210613
+0.0216798
+0.0223864
+0.0231428
+0.0239288
+0.0247704
+0.0254457
+0.0261847
+0.0267639
+0.0268946
+0.027185
+0.0269624
+0.0268736
+0.0269584
+0.0272199
+0.0276428
+0.0282208
+0.0289534
+0.0298192
+0.0308137
+0.0319277
+0.0331493
+0.0344669
+0.0358557
+0.0373111
+0.0388355
+0.0404213
+0.0420613
+0.0437497
+0.0454809
+0.04675
+0.0478591
+0.0490333
+0.0502486
+0.0515203
+0.0528273
+0.0541869
+0.0555996
+0.0570614
+0.0720748
+0.0700908
+0.0681195
+0.0661619
+0.0642195
+0.0622935
+0.0603855
+0.0584974
+0.0566311
+0.0547883
+0.052972
+0.051185
+0.0494304
+0.047712
+0.0460337
+0.0444
+0.042815
+0.0412786
+0.0398035
+0.0383967
+0.0370662
+0.0358203
+0.0346516
+0.0335849
+0.0322989
+0.0308924
+0.0295813
+0.028379
+0.0272998
+0.0263588
+0.0255714
+0.0249284
+0.0244514
+0.0241643
+0.024074
+0.0241826
+0.0242012
+0.0236645
+0.0233221
+0.0231825
+0.0232493
+0.0235181
+0.0239489
+0.0245682
+0.0253531
+0.0262356
+0.0249673
+0.0237034
+0.0225624
+0.0215613
+0.020744
+0.020133
+0.0196551
+0.0193984
+0.0193052
+0.0193902
+0.0196093
+0.0196695
+0.0198681
+0.02028
+0.0208774
+0.0214583
+0.0221139
+0.0227996
+0.0235492
+0.0242554
+0.0249359
+0.0254293
+0.026095
+0.0269229
+0.0273373
+0.0276394
+0.0275778
+0.0274864
+0.0275694
+0.0278251
+0.0282488
+0.0288198
+0.0295375
+0.0303867
+0.0313632
+0.0324584
+0.0336588
+0.0349403
+0.0363078
+0.037753
+0.0392672
+0.0408417
+0.0424656
+0.0441384
+0.045855
+0.0476104
+0.0489029
+0.0500526
+0.0512438
+0.052497
+0.053792
+0.0551278
+0.056517
+0.0579557
+0.071669
+0.0696735
+0.06769
+0.0657197
+0.0637638
+0.0618236
+0.0599006
+0.0579967
+0.0561137
+0.0542539
+0.0524196
+0.0506136
+0.0488391
+0.0470997
+0.0453994
+0.0437427
+0.0421343
+0.0405802
+0.0390872
+0.037654
+0.0362873
+0.0349969
+0.0337994
+0.0327049
+0.0317242
+0.0303948
+0.0290613
+0.0278365
+0.0267354
+0.0257739
+0.024968
+0.0243084
+0.023819
+0.0235242
+0.0234315
+0.023543
+0.0234975
+0.0229708
+0.0226179
+0.0224739
+0.0225428
+0.02282
+0.0232637
+0.0239008
+0.0247068
+0.0256116
+0.0255034
+0.0242674
+0.02316
+0.0221859
+0.0213925
+0.0208005
+0.0203773
+0.0201386
+0.0200777
+0.0201883
+0.0201822
+0.0201623
+0.0203561
+0.0207583
+0.0213785
+0.0220377
+0.022484
+0.0230382
+0.0236605
+0.0243156
+0.0248081
+0.0253043
+0.0259732
+0.0268049
+0.0277848
+0.0282089
+0.0283447
+0.0282562
+0.0283369
+0.0285858
+0.0289984
+0.0295575
+0.0302448
+0.0310717
+0.0320273
+0.0331005
+0.0342767
+0.0355349
+0.0368804
+0.038304
+0.0397973
+0.0413528
+0.0429637
+0.044624
+0.0463285
+0.0480678
+0.0498416
+0.0511455
+0.0523118
+0.05354
+0.0548203
+0.0561385
+0.0575033
+0.0589179
+0.0711791
+0.0692617
+0.0673291
+0.0653479
+0.0633805
+0.0614282
+0.0594925
+0.0575751
+0.0556779
+0.0538029
+0.0519527
+0.0501299
+0.0483377
+0.0465796
+0.0448595
+0.0431822
+0.0415526
+0.0399766
+0.038461
+0.0370083
+0.0356095
+0.0342936
+0.0330706
+0.0319512
+0.0309465
+0.0300491
+0.0286995
+0.0274586
+0.0263417
+0.0253602
+0.0245278
+0.023868
+0.0233756
+0.0230752
+0.0229806
+0.0230943
+0.022968
+0.0224432
+0.0221091
+0.0219618
+0.0220324
+0.0223159
+0.0227694
+0.0234199
+0.024242
+0.0251635
+0.0262121
+0.0250112
+0.0239383
+0.0229971
+0.0222327
+0.0216637
+0.0212667
+0.0210731
+0.0210315
+0.0208439
+0.0207724
+0.0208745
+0.0210618
+0.0214507
+0.0219596
+0.022347
+0.0227608
+0.0233083
+0.0239237
+0.0245315
+0.0248657
+0.0253685
+0.0260357
+0.0268655
+0.0278433
+0.0289335
+0.0291597
+0.0291602
+0.0292384
+0.0294796
+0.0298799
+0.0304164
+0.0310847
+0.0318897
+0.0328215
+0.0338696
+0.03502
+0.0362524
+0.0375722
+0.0389705
+0.0404392
+0.0419709
+0.043559
+0.0451974
+0.046881
+0.0486051
+0.0503654
+0.0521583
+0.0534483
+0.054651
+0.0559058
+0.0572085
+0.058555
+0.0599448
+0.0706282
+0.0686953
+0.0667784
+0.0648789
+0.0629982
+0.0611089
+0.0591628
+0.0572343
+0.0553254
+0.0534381
+0.0515748
+0.0497381
+0.0479313
+0.0461577
+0.0444213
+0.0427267
+0.041079
+0.0394842
+0.0379489
+0.0364757
+0.0350556
+0.0337181
+0.0324735
+0.0313327
+0.0303076
+0.0294102
+0.0284872
+0.0272366
+0.026098
+0.0250995
+0.0242581
+0.0235908
+0.0231068
+0.0228028
+0.0227071
+0.0228222
+0.0226389
+0.0221062
+0.0217819
+0.0216389
+0.0217106
+0.0220012
+0.0224656
+0.0231247
+0.0239337
+0.0249005
+0.0259841
+0.0259054
+0.0248824
+0.0239816
+0.0232496
+0.0227061
+0.0223277
+0.022156
+0.021772
+0.0214813
+0.0214119
+0.021566
+0.0217811
+0.0219892
+0.0222082
+0.0225914
+0.0231632
+0.0237781
+0.024361
+0.0247697
+0.0250856
+0.0255858
+0.0262493
+0.0270712
+0.0280406
+0.0291427
+0.029818
+0.0300817
+0.0302653
+0.0304984
+0.0308855
+0.0314048
+0.0320525
+0.0328338
+0.0337396
+0.03476
+0.0358818
+0.0370856
+0.0383767
+0.0397468
+0.0411878
+0.0426927
+0.0442548
+0.0458684
+0.0475283
+0.0492296
+0.0509684
+0.0527408
+0.0545437
+0.0558259
+0.0570549
+0.0583319
+0.0596621
+0.061033
+0.0701413
+0.0681947
+0.0662633
+0.0643485
+0.0624519
+0.0605751
+0.0587167
+0.0568764
+0.0550579
+0.0531611
+0.0512877
+0.0494404
+0.0476222
+0.0458367
+0.0440876
+0.0423797
+0.040718
+0.0391085
+0.0375578
+0.0360686
+0.0346317
+0.0332772
+0.0320154
+0.0308577
+0.0298163
+0.0289036
+0.0281323
+0.0271712
+0.0260298
+0.0250285
+0.0241847
+0.0235153
+0.0230297
+0.0227247
+0.0226286
+0.0227441
+0.022519
+0.0219835
+0.0216574
+0.0215135
+0.0215856
+0.0218779
+0.0223449
+0.0230074
+0.0238204
+0.0247949
+0.0258889
+0.0269459
+0.0259647
+0.0251191
+0.0244212
+0.0239037
+0.0235404
+0.0230167
+0.0225962
+0.0223031
+0.0221107
+0.0221345
+0.0222067
+0.0224109
+0.0226537
+0.0230214
+0.0235696
+0.0242905
+0.0248172
+0.0251817
+0.0254925
+0.0259849
+0.0266384
+0.0274487
+0.0284052
+0.0294936
+0.0306192
+0.0308761
+0.0312781
+0.0316363
+0.0320096
+0.032511
+0.033137
+0.0338934
+0.0347716
+0.0357625
+0.0368539
+0.0380269
+0.0392871
+0.0406264
+0.0420373
+0.0435128
+0.0450465
+0.0466328
+0.0482663
+0.0499426
+0.0516573
+0.0534069
+0.055188
+0.0569976
+0.0582637
+0.0595148
+0.0608191
+0.0621732
+0.0697199
+0.0677612
+0.0658171
+0.063889
+0.0619781
+0.0600839
+0.0582086
+0.0563556
+0.0545239
+0.0527193
+0.050945
+0.0491991
+0.0474125
+0.0456187
+0.043861
+0.0421439
+0.0404725
+0.0388528
+0.0372915
+0.0357911
+0.0343426
+0.0329763
+0.0317025
+0.0305329
+0.02948
+0.0285566
+0.0277756
+0.0271494
+0.0261456
+0.0251489
+0.0243092
+0.0236434
+0.0231605
+0.0228572
+0.0227617
+0.0228766
+0.0226118
+0.0220786
+0.0217538
+0.0216106
+0.0216824
+0.0219734
+0.0224384
+0.0230982
+0.0239081
+0.0248792
+0.0259696
+0.0271872
+0.02718
+0.0263897
+0.0257263
+0.0249044
+0.024175
+0.0236249
+0.0232688
+0.0229335
+0.0227464
+0.0227696
+0.0228355
+0.0230341
+0.0232689
+0.0236284
+0.0241629
+0.0248667
+0.0254445
+0.0257724
+0.0260776
+0.0265592
+0.0271989
+0.027993
+0.0289315
+0.0300009
+0.0311877
+0.0318004
+0.0321909
+0.0327033
+0.0332403
+0.0337233
+0.0343273
+0.035058
+0.0359077
+0.0368681
+0.0379277
+0.0390684
+0.0402961
+0.041603
+0.0429818
+0.044426
+0.0459292
+0.047486
+0.0490911
+0.0507401
+0.0524288
+0.0541535
+0.0559108
+0.0576977
+0.0595117
+0.0607536
+0.0620319
+0.0633601
+0.0693652
+0.0673954
+0.0654369
+0.063493
+0.0615656
+0.0596564
+0.0577672
+0.0559
+0.0540571
+0.0522398
+0.0504418
+0.0486761
+0.0469461
+0.0452561
+0.0436107
+0.042015
+0.0403447
+0.0387196
+0.0371525
+0.0356329
+0.0341811
+0.0328115
+0.0315347
+0.0303624
+0.0293041
+0.0283749
+0.0275888
+0.0269583
+0.026443
+0.0254579
+0.0246288
+0.0239718
+0.0234957
+0.0231968
+0.0231027
+0.0232159
+0.0228796
+0.0223527
+0.022032
+0.0219162
+0.0219869
+0.022269
+0.0227235
+0.0233753
+0.0241947
+0.0251548
+0.0262337
+0.0274396
+0.0285121
+0.0274862
+0.0264894
+0.0256182
+0.0249096
+0.024378
+0.0240351
+0.0237458
+0.0235652
+0.0235875
+0.02363
+0.023822
+0.0240498
+0.0244041
+0.0249266
+0.0256094
+0.0262147
+0.0265253
+0.0268295
+0.0272978
+0.0279205
+0.0286946
+0.0296109
+0.0306566
+0.031819
+0.0328223
+0.0332007
+0.0336938
+0.0343161
+0.0350158
+0.0355979
+0.036303
+0.0371242
+0.038054
+0.0390845
+0.0402025
+0.0413966
+0.0426697
+0.0440152
+0.0454265
+0.0468977
+0.0484233
+0.0499984
+0.0516184
+0.0532793
+0.0549772
+0.056709
+0.0584716
+0.0602623
+0.0620451
+0.0632973
+0.0645995
+0.0690685
+0.0670867
+0.0651183
+0.0631646
+0.0612269
+0.0593068
+0.0574061
+0.0555268
+0.0536711
+0.0518401
+0.0500278
+0.0482469
+0.046501
+0.0447942
+0.0431311
+0.0415171
+0.039958
+0.0384605
+0.0370321
+0.0355963
+0.034143
+0.0327717
+0.0314933
+0.0303194
+0.0292627
+0.028332
+0.0275442
+0.0269122
+0.0264471
+0.0259488
+0.0251359
+0.0244926
+0.0240126
+0.0237203
+0.0236283
+0.0237389
+0.0233453
+0.0228291
+0.0225153
+0.0223999
+0.0224691
+0.0227465
+0.0231923
+0.0238313
+0.0246482
+0.025593
+0.0266757
+0.0278624
+0.0291528
+0.0283257
+0.0273377
+0.0264943
+0.0258099
+0.0252972
+0.0249669
+0.0247261
+0.0245527
+0.0245576
+0.0245772
+0.0247618
+0.0249811
+0.0253223
+0.0258262
+0.0264859
+0.0271403
+0.027433
+0.0277343
+0.0281876
+0.0287912
+0.0295425
+0.0304332
+0.0314516
+0.0325856
+0.0336158
+0.0343206
+0.0347942
+0.0353972
+0.0361232
+0.0369528
+0.0376325
+0.0384253
+0.0393243
+0.0403224
+0.0414124
+0.0425814
+0.0438201
+0.0451313
+0.0465087
+0.0479467
+0.04944
+0.0509837
+0.0525733
+0.054205
+0.0558748
+0.0575796
+0.0593163
+0.0610822
+0.0628748
+0.0646122
+0.0658884
+0.0688365
+0.0668478
+0.0648722
+0.0629108
+0.0609651
+0.0590365
+0.0571268
+0.0552379
+0.0533722
+0.0515306
+0.049707
+0.0479141
+0.0461556
+0.0444356
+0.0427586
+0.0411299
+0.0395555
+0.0380422
+0.0365975
+0.0352299
+0.0339486
+0.0327639
+0.0316041
+0.0304345
+0.029382
+0.0284551
+0.0276709
+0.0270418
+0.026579
+0.0262872
+0.0258196
+0.0251781
+0.0247059
+0.0244219
+0.0243325
+0.02444
+0.0239824
+0.0234803
+0.0231753
+0.0230444
+0.0231116
+0.0233849
+0.0238494
+0.0244713
+0.0252683
+0.0261946
+0.0271572
+0.0281265
+0.0292281
+0.0292848
+0.0283303
+0.0275174
+0.026859
+0.0263667
+0.02605
+0.0258553
+0.0256737
+0.025658
+0.0256767
+0.0258535
+0.0260636
+0.0263909
+0.0268747
+0.0275092
+0.0281892
+0.0284806
+0.0287755
+0.029215
+0.0297977
+0.0305242
+0.0313872
+0.0323755
+0.0334783
+0.0344818
+0.0355265
+0.0359944
+0.0365777
+0.0372807
+0.0380969
+0.0390192
+0.0398045
+0.040673
+0.0416388
+0.0426952
+0.0438358
+0.0450477
+0.0463242
+0.0476672
+0.0490712
+0.0505313
+0.0520426
+0.0536009
+0.0552021
+0.0568427
+0.0585193
+0.0602289
+0.0619688
+0.0637365
+0.0655298
+0.0665333
+0.0686736
+0.0666801
+0.0646994
+0.0627326
+0.0607811
+0.0588465
+0.0569304
+0.0550348
+0.053162
+0.0513128
+0.0494811
+0.0476798
+0.0459123
+0.0441828
+0.0424958
+0.0408567
+0.0392714
+0.0377467
+0.0362902
+0.0349105
+0.0336171
+0.0324203
+0.031331
+0.0303611
+0.0295221
+0.0287451
+0.027969
+0.0273469
+0.0268893
+0.0266009
+0.02646
+0.0260252
+0.0255686
+0.0252943
+0.025208
+0.0253118
+0.0247795
+0.0242938
+0.0239991
+0.0238727
+0.0239377
+0.0240057
+0.0241226
+0.0244355
+0.0249376
+0.0256179
+0.0264625
+0.0274564
+0.0285838
+0.0298298
+0.0294527
+0.0286716
+0.0280404
+0.0275675
+0.0272559
+0.0270986
+0.0269071
+0.0268922
+0.02691
+0.0270787
+0.0272794
+0.0275923
+0.0280554
+0.0286638
+0.0293263
+0.0296481
+0.0299316
+0.0303659
+0.0309269
+0.0316275
+0.0324611
+0.0334178
+0.0344872
+0.0354621
+0.0364788
+0.0372848
+0.0378482
+0.0385281
+0.0393184
+0.0402126
+0.0412041
+0.0420926
+0.0430265
+0.0440497
+0.045156
+0.0463396
+0.0475881
+0.0488963
+0.0502661
+0.0516924
+0.0531707
+0.0546969
+0.0562669
+0.0578773
+0.0595248
+0.0612063
+0.0629192
+0.0646609
+0.0656757
+0.0663527
+0.0685804
+0.0665841
+0.0646004
+0.0626305
+0.0606757
+0.0587376
+0.0568179
+0.0549184
+0.0530415
+0.0511879
+0.0493516
+0.0475454
+0.0457727
+0.0440377
+0.0423449
+0.0406997
+0.0391081
+0.0375767
+0.0361134
+0.0347267
+0.0334262
+0.0322222
+0.0311261
+0.0301495
+0.0293044
+0.0285932
+0.0280125
+0.0275939
+0.027345
+0.0270871
+0.0269488
+0.0269881
+0.0265843
+0.0263206
+0.0262377
+0.0263374
+0.0255994
+0.024795
+0.024163
+0.0237173
+0.0234684
+0.0234227
+0.0235425
+0.023863
+0.0243769
+0.0250724
+0.0259348
+0.0269481
+0.028096
+0.0293627
+0.030672
+0.0299228
+0.0293145
+0.028855
+0.0285567
+0.0284245
+0.0282568
+0.0282426
+0.0282596
+0.0284203
+0.0285996
+0.0288982
+0.0293403
+0.0299226
+0.0305694
+0.0309083
+0.0311803
+0.0316022
+0.0321644
+0.0328386
+0.0336422
+0.0345662
+0.0356012
+0.0365477
+0.037535
+0.0385989
+0.0392001
+0.0398569
+0.0406213
+0.0414875
+0.0424492
+0.0434861
+0.0444789
+0.0454694
+0.046542
+0.0476912
+0.0489115
+0.0501911
+0.0515264
+0.0529188
+0.0543638
+0.0558573
+0.0573956
+0.0589752
+0.0605928
+0.0622455
+0.0639306
+0.0648842
+0.0654899
+0.0661627
+0.068557
+0.06656
+0.0645756
+0.0626049
+0.0606494
+0.0587104
+0.0567897
+0.0548893
+0.0530113
+0.0511566
+0.0493192
+0.0475117
+0.0457377
+0.0440013
+0.0423071
+0.0406604
+0.0390671
+0.0375341
+0.036069
+0.0346806
+0.0333782
+0.0321725
+0.0310746
+0.0300963
+0.0292497
+0.0285372
+0.0279553
+0.0275359
+0.0272864
+0.0272116
+0.0273128
+0.0275882
+0.0277362
+0.0272709
+0.0266739
+0.0262186
+0.0252444
+0.0244283
+0.0237866
+0.0233336
+0.0230806
+0.0230341
+0.0231559
+0.0234817
+0.0240038
+0.0247098
+0.0255844
+0.0266111
+0.0277729
+0.0290537
+0.0304249
+0.03127
+0.0306845
+0.0302458
+0.0299613
+0.0298354
+0.0297069
+0.0296933
+0.0297058
+0.0298587
+0.0300072
+0.030292
+0.0307239
+0.0312804
+0.0319145
+0.0322681
+0.0325288
+0.0329334
+0.033474
+0.0341224
+0.0348964
+0.035788
+0.0367886
+0.0377199
+0.0386787
+0.0397196
+0.0405908
+0.0412593
+0.0419982
+0.0428366
+0.0437686
+0.0447752
+0.0458573
+0.0469485
+0.047988
+0.0491033
+0.0502894
+0.0515414
+0.0528475
+0.054206
+0.0556175
+0.0570783
+0.0585845
+0.0601329
+0.0617202
+0.0633435
+0.0641614
+0.0647019
+0.0653094
+0.065984
+0.0686037
+0.0666081
+0.0646251
+0.062656
+0.0607021
+0.0587649
+0.0568461
+0.0549476
+0.0530716
+0.0512191
+0.0493839
+0.0475789
+0.0458076
+0.0440739
+0.0423826
+0.0407389
+0.0391488
+0.0376192
+0.0361576
+0.0347726
+0.0334739
+0.0322717
+0.0311772
+0.0301991
+0.02935
+0.0286437
+0.0280693
+0.0276516
+0.0274032
+0.0273286
+0.0274295
+0.0277037
+0.0271757
+0.0264001
+0.0257829
+0.0253407
+0.0250713
+0.0242494
+0.0236028
+0.0231463
+0.0228912
+0.0228443
+0.0229727
+0.023301
+0.0238271
+0.0245381
+0.0254187
+0.0264518
+0.0276203
+0.0289047
+0.030268
+0.0317242
+0.0321455
+0.0317271
+0.031456
+0.031336
+0.0312434
+0.0312305
+0.0312307
+0.0313762
+0.0315044
+0.0317757
+0.0321941
+0.0327286
+0.0333495
+0.0337156
+0.0339651
+0.0343528
+0.0348714
+0.0354943
+0.036239
+0.0370984
+0.0380646
+0.0389567
+0.0395587
+0.0402699
+0.0410557
+0.0419413
+0.0429205
+0.043987
+0.045122
+0.0461324
+0.0471833
+0.0483108
+0.0494888
+0.050571
+0.0517234
+0.0529415
+0.0542207
+0.0555497
+0.056928
+0.0583559
+0.0598301
+0.061347
+0.0629037
+0.0635691
+0.064052
+0.0645934
+0.0652019
+0.0658776
+0.0687202
+0.0667281
+0.0647488
+0.0627836
+0.0608337
+0.0589008
+0.0569866
+0.055093
+0.0532221
+0.0513749
+0.0495456
+0.0477467
+0.0459818
+0.044255
+0.0425709
+0.0409347
+0.0393526
+0.0378293
+0.0363718
+0.0349908
+0.0336957
+0.0324969
+0.0314052
+0.0304323
+0.0295899
+0.0288894
+0.0283217
+0.0279078
+0.0276617
+0.0275879
+0.0276877
+0.0274114
+0.0264703
+0.025682
+0.0250475
+0.0245921
+0.0243151
+0.0242066
+0.0235877
+0.0231309
+0.0228757
+0.0228287
+0.0229665
+0.023295
+0.0238212
+0.0245324
+0.0254131
+0.0264464
+0.0276152
+0.0288923
+0.0302562
+0.0317129
+0.0332503
+0.0332867
+0.0330284
+0.0329142
+0.0328458
+0.0328336
+0.0328312
+0.0329644
+0.033079
+0.0333375
+0.0337366
+0.0342558
+0.0348631
+0.0352398
+0.0354787
+0.03585
+0.0363473
+0.0368558
+0.0373829
+0.0380043
+0.0385057
+0.0389917
+0.0395931
+0.0403048
+0.041121
+0.0420356
+0.0430424
+0.044123
+0.0452774
+0.0465063
+0.0478041
+0.0491653
+0.0505848
+0.0518737
+0.0531786
+0.0543938
+0.0556396
+0.0569425
+0.0582914
+0.0596867
+0.0611288
+0.0626142
+0.0631234
+0.0635343
+0.0640166
+0.0645418
+0.0651366
+0.0657989
+0.0689062
+0.0669196
+0.0649462
+0.0629871
+0.0610438
+0.0591177
+0.0572107
+0.0553248
+0.0534587
+0.0516105
+0.0497901
+0.0480006
+0.0462457
+0.0445294
+0.0428564
+0.0412298
+0.0396554
+0.0381419
+0.0366967
+0.0353284
+0.0340462
+0.0328601
+0.0317809
+0.0308199
+0.0299884
+0.0292974
+0.0287377
+0.0283299
+0.0280875
+0.0280148
+0.0279902
+0.0268828
+0.0259092
+0.0250895
+0.0244393
+0.0239723
+0.0236994
+0.023616
+0.0237075
+0.0233222
+0.023069
+0.0230225
+0.0231592
+0.0234849
+0.0240069
+0.0247128
+0.0255873
+0.0266139
+0.0277756
+0.0290457
+0.0304027
+0.0318527
+0.0333836
+0.0349141
+0.0346679
+0.0345592
+0.0345108
+0.0344992
+0.0344965
+0.0346113
+0.0347205
+0.0349669
+0.0349987
+0.0348815
+0.0349017
+0.0350581
+0.0353245
+0.0357234
+0.0362506
+0.036699
+0.0372283
+0.0378522
+0.0384808
+0.039023
+0.0396789
+0.0404379
+0.0412514
+0.0421632
+0.043167
+0.0442566
+0.0454163
+0.0466416
+0.0479357
+0.0492933
+0.0507092
+0.0521787
+0.0536974
+0.0551123
+0.0565124
+0.0579614
+0.0594559
+0.0609924
+0.0624773
+0.062793
+0.0631007
+0.0634825
+0.0639371
+0.064463
+0.0650584
+0.0657167
+0.0691611
+0.067182
+0.0652165
+0.0632658
+0.0613313
+0.0594146
+0.057517
+0.0556324
+0.0537696
+0.0519325
+0.0501237
+0.0483466
+0.0466047
+0.0449022
+0.0432436
+0.0416321
+0.0400735
+0.0385764
+0.0371482
+0.0357971
+0.0345323
+0.0333635
+0.0323011
+0.031356
+0.0305391
+0.0298609
+0.029312
+0.0289123
+0.0286748
+0.0286036
+0.0276258
+0.0264988
+0.0255104
+0.0246775
+0.0240161
+0.0235408
+0.0232629
+0.0231856
+0.0232788
+0.023576
+0.0234662
+0.0234205
+0.0235548
+0.0238752
+0.0243889
+0.025084
+0.025946
+0.0269589
+0.0281064
+0.0293622
+0.0307052
+0.0321416
+0.0336593
+0.0352479
+0.0363656
+0.0362619
+0.0362318
+0.0362207
+0.0362178
+0.0358429
+0.0353232
+0.0349334
+0.0346778
+0.0345595
+0.0345799
+0.0347378
+0.0350066
+0.0354091
+0.0359409
+0.0365791
+0.0372023
+0.0377238
+0.0383611
+0.039022
+0.0396779
+0.040442
+0.0413083
+0.0422705
+0.0433221
+0.044457
+0.0456488
+0.0468722
+0.0481639
+0.049518
+0.0509276
+0.052391
+0.0539037
+0.0554616
+0.0570612
+0.0585819
+0.060061
+0.0615824
+0.0625451
+0.0627726
+0.0630656
+0.063433
+0.0638734
+0.0643854
+0.0649673
+0.0656172
+0.0694841
+0.0675146
+0.0655591
+0.0636189
+0.0616954
+0.0597851
+0.0578902
+0.0560169
+0.0541674
+0.0523442
+0.0505502
+0.0487886
+0.0470631
+0.0453777
+0.0437372
+0.0421446
+0.0406057
+0.0391289
+0.0377216
+0.0363919
+0.0351484
+0.0340008
+0.032959
+0.0320334
+0.0312342
+0.0305714
+0.0300355
+0.0296455
+0.0294139
+0.0286547
+0.0274277
+0.0262922
+0.0252958
+0.0244556
+0.0237881
+0.023308
+0.0230273
+0.0229492
+0.0230434
+0.0233436
+0.0238422
+0.0240125
+0.0241436
+0.0244562
+0.0249579
+0.0256376
+0.0264816
+0.0274748
+0.0286016
+0.0298365
+0.0311591
+0.0325755
+0.0340739
+0.0356441
+0.0372769
+0.0380147
+0.0379117
+0.037059
+0.0363116
+0.0356644
+0.0351421
+0.0347503
+0.0344934
+0.0343744
+0.0343949
+0.0345536
+0.0348238
+0.0352284
+0.0357629
+0.0364039
+0.0370329
+0.0375543
+0.0381944
+0.0389237
+0.0397602
+0.0405595
+0.0414234
+0.0423829
+0.0434319
+0.0445639
+0.0457666
+0.0470399
+0.0483789
+0.0497783
+0.051225
+0.0526835
+0.0541914
+0.0557445
+0.0573391
+0.0589691
+0.0606341
+0.062244
+0.0625271
+0.0627449
+0.063038
+0.0634056
+0.0638462
+0.0643584
+0.0649405
+0.0655906
+0.0698744
+0.0679162
+0.0659726
+0.0640433
+0.0621239
+0.0602229
+0.0583422
+0.0564839
+0.0546501
+0.0528436
+0.0510672
+0.0493241
+0.0476179
+0.0459529
+0.0443337
+0.0427633
+0.0412475
+0.0397945
+0.0384116
+0.0371066
+0.0358879
+0.0347647
+0.0337465
+0.0328431
+0.0320641
+0.0314188
+0.0308976
+0.0305186
+0.029963
+0.0286187
+0.0273839
+0.0262674
+0.02527
+0.0244289
+0.0237606
+0.02328
+0.0229989
+0.0229207
+0.023015
+0.0233157
+0.0238148
+0.0245005
+0.0249117
+0.0252148
+0.0257017
+0.0263623
+0.0271838
+0.0281522
+0.0292529
+0.0304614
+0.031758
+0.0331488
+0.0346224
+0.0361688
+0.0377789
+0.0385812
+0.0376902
+0.0369079
+0.0362413
+0.0356201
+0.0350971
+0.0347047
+0.0344475
+0.0343284
+0.0343489
+0.0345078
+0.0347784
+0.0351835
+0.0357187
+0.0363359
+0.0369756
+0.0375121
+0.038153
+0.038883
+0.0397204
+0.0406588
+0.0416535
+0.0426078
+0.0436514
+0.0447779
+0.045975
+0.0472426
+0.048576
+0.0499699
+0.0514194
+0.0529199
+0.0544671
+0.0560573
+0.057683
+0.0593066
+0.0609657
+0.0624347
+0.0625761
+0.0627936
+0.0630866
+0.0634538
+0.0638941
+0.0644059
+0.0649876
+0.0656373
+0.0703308
+0.0683856
+0.066449
+0.0645267
+0.062622
+0.0607365
+0.0588723
+0.0570312
+0.0552157
+0.0534283
+0.0516719
+0.0499499
+0.0482659
+0.0466241
+0.0450289
+0.0434837
+0.0419939
+0.0405677
+0.039212
+0.0379346
+0.0367434
+0.0356471
+0.0346549
+0.0337757
+0.0330187
+0.0323925
+0.0318872
+0.0315049
+0.0300702
+0.0287309
+0.0275012
+0.0263962
+0.0254089
+0.0245725
+0.0239083
+0.0234307
+0.0231515
+0.0230777
+0.0231882
+0.0234866
+0.0239823
+0.0246632
+0.0255147
+0.0261355
+0.0266056
+0.0272442
+0.0280399
+0.0289797
+0.0300501
+0.0312278
+0.0324938
+0.0338544
+0.0352986
+0.0368165
+0.0383995
+0.0383944
+0.037499
+0.0367126
+0.0360424
+0.0354768
+0.0350312
+0.0347184
+0.0345268
+0.034408
+0.0344285
+0.034587
+0.034857
+0.0352612
+0.0357952
+0.0363989
+0.0370375
+0.0375978
+0.0382372
+0.0389657
+0.0398014
+0.0407379
+0.0417684
+0.0428861
+0.0439791
+0.0450973
+0.0462862
+0.0475456
+0.0488707
+0.0502564
+0.0516979
+0.0531905
+0.0547301
+0.0563129
+0.0579352
+0.059594
+0.0612862
+0.0624885
+0.0626298
+0.0628471
+0.0631398
+0.0635067
+0.0639467
+0.0644581
+0.0650393
+0.0656885
+0.0708488
+0.0689099
+0.0669866
+0.0650801
+0.0631921
+0.0613242
+0.0594783
+0.0576566
+0.0558614
+0.0540954
+0.0523614
+0.0506629
+0.0490034
+0.0473871
+0.0458185
+0.0443008
+0.0428394
+0.0414423
+0.0401163
+0.0388685
+0.0377068
+0.0366394
+0.0356748
+0.0348214
+0.0340876
+0.0334771
+0.0329825
+0.0317583
+0.0303356
+0.0290086
+0.0277911
+0.0266982
+0.0257225
+0.0248966
+0.0242412
+0.0237704
+0.0234952
+0.0234225
+0.0235314
+0.0238255
+0.0243142
+0.0249861
+0.0258269
+0.0268207
+0.0276533
+0.0282671
+0.0290299
+0.0299331
+0.0309653
+0.0321139
+0.0333575
+0.0346842
+0.0360935
+0.0375773
+0.0391277
+0.0383266
+0.0374297
+0.0366421
+0.0359709
+0.0354036
+0.0349571
+0.0346437
+0.0344668
+0.0344288
+0.03453
+0.0347691
+0.0350598
+0.0354617
+0.0359927
+0.0365932
+0.0372285
+0.0378104
+0.0384463
+0.0391709
+0.0400023
+0.0409342
+0.0419599
+0.0430726
+0.0442402
+0.0454268
+0.046686
+0.0479468
+0.0492611
+0.0506361
+0.0520671
+0.0535494
+0.055079
+0.056652
+0.0582649
+0.0599146
+0.0615979
+0.0626166
+0.0627576
+0.0629746
+0.0632666
+0.0636329
+0.0640719
+0.0645823
+0.0651625
+0.0658104
+0.0714204
+0.0694975
+0.0675909
+0.065702
+0.0638323
+0.0619837
+0.0601581
+0.0583576
+0.0565847
+0.0548419
+0.0531323
+0.0514592
+0.0498263
+0.0482375
+0.0466976
+0.0452094
+0.0437783
+0.0424122
+0.0411174
+0.039901
+0.0387703
+0.0377329
+0.036797
+0.0359702
+0.0352604
+0.0346595
+0.0336416
+0.0321593
+0.0307552
+0.0294471
+0.0282485
+0.027174
+0.026216
+0.0254062
+0.0247643
+0.0243036
+0.0240344
+0.0239634
+0.0240699
+0.0243575
+0.0248357
+0.0254939
+0.0263185
+0.0272944
+0.0284061
+0.0293886
+0.0301223
+0.0309937
+0.0319917
+0.0331047
+0.0343149
+0.0356039
+0.0369778
+0.0384275
+0.0390942
+0.0381625
+0.0373362
+0.0366225
+0.0360164
+0.035451
+0.0350051
+0.0346921
+0.0345155
+0.0344775
+0.0345785
+0.0348174
+0.0351912
+0.0356579
+0.0362117
+0.0368674
+0.0373441
+0.0379347
+0.0385771
+0.039301
+0.0401314
+0.0410621
+0.0420847
+0.0431942
+0.0443842
+0.0456484
+0.0469795
+0.0482977
+0.0496733
+0.0510998
+0.0525251
+0.0539949
+0.0555122
+0.0570733
+0.0586747
+0.0603131
+0.0619856
+0.0628163
+0.0629569
+0.0631731
+0.0634643
+0.0638294
+0.0642671
+0.064776
+0.0653293
+0.0659334
+0.0720542
+0.0701486
+0.0682602
+0.0663903
+0.0645406
+0.0627129
+0.0609092
+0.0591315
+0.0573825
+0.0556647
+0.0539812
+0.0523352
+0.0507305
+0.049171
+0.0476612
+0.0462041
+0.0448048
+0.0434709
+0.0422086
+0.0410246
+0.0399257
+0.0389192
+0.0380124
+0.0372127
+0.0365227
+0.0356948
+0.0341612
+0.0327025
+0.0313227
+0.0300393
+0.0288653
+0.0278146
+0.0268795
+0.0260903
+0.0254656
+0.0250178
+0.0247565
+0.0246875
+0.0247909
+0.0250702
+0.0255351
+0.0261757
+0.0269795
+0.0279323
+0.0290195
+0.0302124
+0.03133
+0.0321687
+0.0331313
+0.0342073
+0.0353798
+0.0366313
+0.037968
+0.0393813
+0.0389271
+0.0379913
+0.0371612
+0.0364441
+0.0358467
+0.0353751
+0.0350332
+0.0348008
+0.0347027
+0.0346649
+0.0347653
+0.0350029
+0.0353748
+0.0358391
+0.0363901
+0.0370427
+0.0375171
+0.038105
+0.0387686
+0.0394889
+0.0403155
+0.041242
+0.0422603
+0.0433653
+0.0445508
+0.0458103
+0.0471381
+0.0485285
+0.0499646
+0.0514472
+0.0529304
+0.0544479
+0.0560099
+0.0575738
+0.0591616
+0.0607869
+0.0624468
+0.0630285
+0.0631685
+0.0633691
+0.0636302
+0.0639653
+0.0643712
+0.0648363
+0.0653716
+0.0659753
+0.0727484
+0.0708615
+0.0689926
+0.0671431
+0.0653147
+0.0635093
+0.0617288
+0.0599755
+0.0582518
+0.0565605
+0.0549044
+0.053287
+0.0517118
+0.0501828
+0.0487043
+0.0472794
+0.0459129
+0.0446121
+0.0433831
+0.042232
+0.0411653
+0.0401899
+0.0393124
+0.0385397
+0.0378638
+0.0363173
+0.0348111
+0.0333808
+0.0320303
+0.0307764
+0.0296317
+0.028596
+0.0276826
+0.0269169
+0.0263118
+0.0258786
+0.0256259
+0.0255592
+0.0256606
+0.0259306
+0.0263804
+0.0270009
+0.0277808
+0.028707
+0.029766
+0.030944
+0.0322134
+0.0334461
+0.0343729
+0.0354112
+0.0365451
+0.037758
+0.0390562
+0.0399182
+0.038883
+0.0379461
+0.037115
+0.0363969
+0.0357987
+0.0353265
+0.0349841
+0.0347514
+0.0346556
+0.0346981
+0.034866
+0.0351125
+0.0354833
+0.0359838
+0.0365842
+0.03727
+0.0378085
+0.0383998
+0.0390821
+0.0397967
+0.0406171
+0.0415369
+0.042548
+0.0436458
+0.0448238
+0.046076
+0.0473963
+0.0487793
+0.0502199
+0.0517018
+0.0532262
+0.0547959
+0.0564069
+0.0580168
+0.0596463
+0.0613109
+0.0629671
+0.063181
+0.0632914
+0.0634773
+0.0637379
+0.0640725
+0.0644797
+0.0649529
+0.0654872
+0.0660899
+0.0735014
+0.0716343
+0.0697861
+0.0679582
+0.0661524
+0.0643705
+0.0626145
+0.0608867
+0.0591895
+0.0575257
+0.0558983
+0.0543104
+0.0527658
+0.0512682
+0.049822
+0.04843
+0.0470969
+0.0458297
+0.0446342
+0.0435162
+0.0424818
+0.0415373
+0.0406889
+0.0399386
+0.0386019
+0.0370591
+0.0355843
+0.0341863
+0.0328689
+0.0316483
+0.0305177
+0.0295013
+0.0286167
+0.0278767
+0.0272929
+0.0268755
+0.0266323
+0.0265681
+0.0266699
+0.0269298
+0.0273631
+0.0279619
+0.0287157
+0.0296127
+0.0306404
+0.031786
+0.0330373
+0.0343776
+0.0357058
+0.0367064
+0.0378015
+0.0389753
+0.0402343
+0.0399953
+0.0389621
+0.0380271
+0.0371979
+0.0364814
+0.0358847
+0.0354136
+0.0350721
+0.03484
+0.0347444
+0.0347867
+0.0349543
+0.0352002
+0.03557
+0.0360693
+0.0366683
+0.0373685
+0.0379633
+0.0386166
+0.039381
+0.0402217
+0.0410335
+0.0419442
+0.0429458
+0.0440336
+0.0452016
+0.0464435
+0.0477537
+0.0491267
+0.0505573
+0.0520409
+0.0535621
+0.0551221
+0.0567239
+0.058364
+0.0600391
+0.0617466
+0.0633273
+0.0633617
+0.0634718
+0.0636571
+0.063917
+0.064244
+0.0646359
+0.0650991
+0.0656323
+0.0662336
+0.0743113
+0.0724651
+0.0706386
+0.0688334
+0.0670512
+0.0652938
+0.0635633
+0.061862
+0.0601924
+0.0585571
+0.0569591
+0.0554017
+0.0538883
+0.0524228
+0.0510094
+0.0496506
+0.0483512
+0.0471178
+0.0459558
+0.0448707
+0.0438683
+0.0429543
+0.0421344
+0.0409746
+0.0394029
+0.0378927
+0.0364516
+0.0350883
+0.033812
+0.0326208
+0.0315201
+0.0305371
+0.0296834
+0.0289707
+0.0284093
+0.0280086
+0.0277753
+0.0277138
+0.0278146
+0.0280639
+0.02848
+0.0290557
+0.0297818
+0.0306477
+0.0316417
+0.0327524
+0.0339681
+0.0352781
+0.0366537
+0.0380837
+0.0391378
+0.0402727
+0.0412917
+0.0401918
+0.0391638
+0.0382338
+0.0374091
+0.0366968
+0.0361036
+0.0356354
+0.035296
+0.0350654
+0.0349704
+0.0350125
+0.035179
+0.0354233
+0.0357908
+0.0362871
+0.0368826
+0.0375788
+0.0382432
+0.0388918
+0.0396509
+0.0405144
+0.0414758
+0.0424608
+0.0434505
+0.044526
+0.0456813
+0.0469106
+0.0482081
+0.0495685
+0.0509867
+0.0524581
+0.0539731
+0.0555216
+0.0571122
+0.0587414
+0.0604061
+0.0621035
+0.0635831
+0.0636174
+0.0637143
+0.0638844
+0.0641289
+0.064447
+0.0648377
+0.0652995
+0.065831
+0.0664305
+0.0751764
+0.073352
+0.0715481
+0.0697665
+0.0680087
+0.0662767
+0.0645725
+0.0628985
+0.0612571
+0.059651
+0.0580832
+0.0565567
+0.0550751
+0.0536421
+0.0522616
+0.0509363
+0.0496705
+0.0484706
+0.0473419
+0.0462893
+0.0453182
+0.0444341
+0.0434351
+0.0418412
+0.0403033
+0.0388281
+0.0374231
+0.0360965
+0.0348571
+0.0337032
+0.032639
+0.0316907
+0.030869
+0.0301842
+0.0296459
+0.029262
+0.0290388
+0.02898
+0.0290761
+0.0293147
+0.0297133
+0.0302655
+0.0309633
+0.031797
+0.0327562
+0.0338303
+0.0350086
+0.0362811
+0.0376202
+0.0390299
+0.0405091
+0.0416401
+0.0415929
+0.0405061
+0.0394862
+0.038564
+0.0377465
+0.0370407
+0.0364531
+0.0359894
+0.0356534
+0.0354251
+0.0353311
+0.0353728
+0.0355376
+0.0357794
+0.0361433
+0.0366349
+0.0372247
+0.0379147
+0.0386454
+0.0392873
+0.040039
+0.0408943
+0.041843
+0.0428649
+0.0439643
+0.0451154
+0.04626
+0.0474742
+0.0487567
+0.0501022
+0.0515058
+0.0529628
+0.0544662
+0.0560011
+0.0575784
+0.0591948
+0.0608471
+0.0625326
+0.0638712
+0.0638908
+0.0639855
+0.0641549
+0.0643984
+0.0647152
+0.0651042
+0.0655642
+0.0660935
+0.0666907
+0.0760947
+0.0742929
+0.0725124
+0.070755
+0.0690224
+0.0673165
+0.0656394
+0.0639933
+0.0623807
+0.0608043
+0.059267
+0.0577718
+0.0563222
+0.0549217
+0.0535742
+0.0522821
+0.0510497
+0.0498831
+0.048787
+0.0477663
+0.0468259
+0.0459707
+0.0443619
+0.0428025
+0.0413004
+0.0398621
+0.0384949
+0.0372065
+0.0360054
+0.0348897
+0.0338628
+0.0329497
+0.0321602
+0.0315035
+0.0309881
+0.0306211
+0.0304079
+0.0303517
+0.0304432
+0.0306711
+0.0310523
+0.0315812
+0.0322505
+0.0330517
+0.0339755
+0.0350122
+0.036152
+0.0373856
+0.0386868
+0.040059
+0.0415015
+0.0429008
+0.0417987
+0.0407846
+0.0398651
+0.0390146
+0.0382067
+0.0375096
+0.0369294
+0.0364718
+0.0361403
+0.0359151
+0.0358224
+0.0358635
+0.036026
+0.0362646
+0.0366237
+0.0371089
+0.0376913
+0.0383729
+0.0389704
+0.039585
+0.0403081
+0.0411353
+0.0420604
+0.0430772
+0.0441735
+0.0453392
+0.0465789
+0.0478868
+0.0492561
+0.0506801
+0.0521119
+0.0535524
+0.0550415
+0.0565615
+0.0581236
+0.0597252
+0.0613633
+0.0630349
+0.0642165
+0.0642361
+0.0643302
+0.0644987
+0.064741
+0.0650561
+0.0654431
+0.0659006
+0.0664085
+0.0669809
+0.0770644
+0.0752858
+0.0735294
+0.0717969
+0.07009
+0.0684107
+0.0667611
+0.0651434
+0.06356
+0.0620135
+0.0605069
+0.0590432
+0.0576255
+0.0562575
+0.0549427
+0.0536837
+0.0524842
+0.0513501
+0.050286
+0.0492964
+0.0483857
+0.0469518
+0.0453756
+0.0438522
+0.0423874
+0.0409873
+0.0396588
+0.0384095
+0.0372472
+0.0361701
+0.0351806
+0.0343026
+0.0335449
+0.0329159
+0.0324229
+0.0320723
+0.0318688
+0.0318152
+0.0319023
+0.0321198
+0.032484
+0.0329899
+0.0336312
+0.0344003
+0.0352888
+0.036288
+0.037389
+0.038583
+0.0398453
+0.0411789
+0.0425835
+0.0432117
+0.0421169
+0.0411074
+0.040192
+0.0393712
+0.0386429
+0.0380271
+0.0375221
+0.0370776
+0.0367516
+0.0365301
+0.036439
+0.0364794
+0.0366392
+0.0368738
+0.037227
+0.0377044
+0.0382778
+0.0388055
+0.0393229
+0.0399351
+0.040652
+0.0414723
+0.0423901
+0.0433992
+0.0444875
+0.0456453
+0.0468769
+0.0481767
+0.0495393
+0.0509596
+0.0524331
+0.0539552
+0.0555206
+0.0571247
+0.0587454
+0.0603306
+0.0619526
+0.0636087
+0.0646206
+0.0646401
+0.0647337
+0.0649012
+0.0651301
+0.0654291
+0.0657943
+0.0662272
+0.0667292
+0.0672988
+0.0780835
+0.0763286
+0.0745968
+0.0728897
+0.071209
+0.0695568
+0.0679349
+0.0663458
+0.0647918
+0.0632755
+0.0617997
+0.0603673
+0.0589815
+0.0576456
+0.0563633
+0.0551366
+0.0539694
+0.0528673
+0.0518343
+0.0508748
+0.049598
+0.0480108
+0.0464705
+0.0449842
+0.0435575
+0.0421962
+0.0409071
+0.039697
+0.0385735
+0.0375347
+0.0365821
+0.0357386
+0.035012
+0.0344098
+0.0339386
+0.0336038
+0.0334096
+0.0333585
+0.0334413
+0.0336489
+0.0339967
+0.0344804
+0.0350945
+0.0358322
+0.036686
+0.0376482
+0.0387105
+0.0398649
+0.0410881
+0.0423826
+0.0437486
+0.0436238
+0.0425373
+0.0415379
+0.0406322
+0.0398205
+0.0391006
+0.0384853
+0.0379689
+0.0375734
+0.0373026
+0.0371591
+0.0371218
+0.0372113
+0.0373709
+0.0376009
+0.0379474
+0.0384158
+0.0388665
+0.0392613
+0.0397728
+0.0403969
+0.0411099
+0.0419213
+0.0428295
+0.0438284
+0.0449063
+0.0460536
+0.0472745
+0.0485637
+0.0499157
+0.0513257
+0.0527889
+0.0543011
+0.0558569
+0.0574515
+0.0590844
+0.0607524
+0.0624527
+0.0641828
+0.065008
+0.0650274
+0.0651204
+0.0652869
+0.0655263
+0.0658303
+0.0661905
+0.0666208
+0.0671199
+0.0676863
+0.0791502
+0.0774195
+0.0757126
+0.0740312
+0.072377
+0.0707521
+0.0691583
+0.0675979
+0.0660734
+0.0645872
+0.063142
+0.0617408
+0.0603865
+0.0590824
+0.0578319
+0.0566371
+0.0555015
+0.0544303
+0.0534276
+0.0522933
+0.0506964
+0.0491447
+0.0476411
+0.0461925
+0.0448042
+0.043482
+0.0422321
+0.0410611
+0.039976
+0.0389748
+0.0380583
+0.0372482
+0.0365517
+0.0359752
+0.0355247
+0.0352051
+0.0350198
+0.034971
+0.0350497
+0.0352478
+0.03558
+0.0360425
+0.0366304
+0.0373378
+0.0381579
+0.0390838
+0.0401081
+0.0412235
+0.0424077
+0.0436631
+0.0449902
+0.0440599
+0.0430307
+0.0420783
+0.0411845
+0.0403782
+0.0396676
+0.0390441
+0.0385353
+0.0381457
+0.0378789
+0.0377377
+0.0377009
+0.0377891
+0.0380032
+0.0382449
+0.0386096
+0.0390808
+0.0394434
+0.0398325
+0.0403368
+0.0409523
+0.0416739
+0.0424787
+0.0433752
+0.0443618
+0.0454271
+0.0465615
+0.0477695
+0.0490456
+0.0503847
+0.0517819
+0.0532326
+0.0547325
+0.0562764
+0.0578595
+0.0594812
+0.0611384
+0.0628282
+0.0645482
+0.0654665
+0.0654857
+0.0655781
+0.0657434
+0.0659811
+0.0662904
+0.0666464
+0.0670681
+0.0675582
+0.0681125
+0.0802624
+0.0785562
+0.0768746
+0.0752192
+0.0735918
+0.0719942
+0.0704285
+0.068897
+0.0674018
+0.0659456
+0.0645308
+0.0631604
+0.0618372
+0.0605643
+0.0593451
+0.0581814
+0.0570765
+0.0560354
+0.0550309
+0.0534261
+0.0518641
+0.050347
+0.0488804
+0.0474697
+0.0461199
+0.0448365
+0.0436254
+0.0424928
+0.0414452
+0.040481
+0.0395994
+0.0388216
+0.0381538
+0.0376019
+0.0371712
+0.0368658
+0.036689
+0.0366424
+0.0367096
+0.0368988
+0.0372163
+0.0376587
+0.0382217
+0.0389002
+0.0396881
+0.0405791
+0.0415665
+0.0426438
+0.0437971
+0.0450138
+0.0455205
+0.0444171
+0.0433963
+0.0424641
+0.0416193
+0.0408591
+0.040204
+0.0396592
+0.039216
+0.0388332
+0.0385712
+0.0384325
+0.0383944
+0.038481
+0.0386693
+0.0389068
+0.0392653
+0.0397416
+0.0401256
+0.0405143
+0.0410103
+0.0416157
+0.042326
+0.043136
+0.0440218
+0.0449943
+0.0460463
+0.0471658
+0.0483587
+0.0496197
+0.0509437
+0.0523259
+0.0537619
+0.0552475
+0.0567774
+0.0583469
+0.0599554
+0.0615998
+0.0632773
+0.0649854
+0.0659945
+0.0660135
+0.0661052
+0.0662692
+0.066505
+0.0667898
+0.0671392
+0.0675468
+0.0679925
+0.0685054
+0.0814185
+0.079737
+0.0780808
+0.0764515
+0.0748509
+0.0732808
+0.0717432
+0.0702403
+0.0687744
+0.0673478
+0.0659631
+0.0646231
+0.0633304
+0.0620882
+0.0608995
+0.059766
+0.058691
+0.0576702
+0.056194
+0.0546232
+0.053094
+0.0516125
+0.0501829
+0.0488098
+0.0474981
+0.0462529
+0.0450799
+0.0439849
+0.0429736
+0.0420313
+0.0411829
+0.0404355
+0.0397948
+0.0392661
+0.0388538
+0.0385618
+0.0383928
+0.0383484
+0.0384123
+0.0385932
+0.0388968
+0.0393203
+0.0398599
+0.0405109
+0.041268
+0.0421256
+0.0430777
+0.044118
+0.0452406
+0.0464286
+0.0459708
+0.0448785
+0.0438685
+0.0429465
+0.0421147
+0.0413704
+0.0407235
+0.0401858
+0.0397617
+0.0394548
+0.0392551
+0.0391663
+0.0391765
+0.0392614
+0.0394459
+0.0396788
+0.0400304
+0.0404976
+0.0408888
+0.0413012
+0.0417878
+0.0423821
+0.0430798
+0.0438759
+0.0447471
+0.0457042
+0.0467444
+0.0478623
+0.0490387
+0.0502827
+0.0515897
+0.0529551
+0.0543745
+0.0558437
+0.0573577
+0.0589117
+0.0605052
+0.0621351
+0.0637986
+0.0654931
+0.0665904
+0.0666093
+0.0667002
+0.0668035
+0.0669681
+0.0672038
+0.0675098
+0.0678851
+0.0683286
+0.068839
+0.0826163
+0.0809597
+0.0793291
+0.0777259
+0.0761521
+0.0746094
+0.0730998
+0.0716253
+0.0701883
+0.0687911
+0.067436
+0.0661258
+0.0648632
+0.0636509
+0.0624919
+0.0613819
+0.0603268
+0.0589947
+0.0574164
+0.0558777
+0.0543838
+0.0529384
+0.0515456
+0.0502098
+0.0489356
+0.047728
+0.0465921
+0.0455334
+0.0445453
+0.0436358
+0.0428193
+0.0421009
+0.041486
+0.0409791
+0.0405842
+0.0403048
+0.0401431
+0.0401006
+0.0401623
+0.0403353
+0.0406259
+0.0410316
+0.041549
+0.0421739
+0.0429017
+0.0437273
+0.0446452
+0.0456498
+0.0467356
+0.0476755
+0.0465201
+0.0454409
+0.0444432
+0.0435264
+0.0427023
+0.0419684
+0.0413309
+0.0408013
+0.0403836
+0.0400815
+0.0398849
+0.0397975
+0.0398306
+0.0399838
+0.0402559
+0.0405546
+0.0408987
+0.0413561
+0.0417531
+0.0421806
+0.0426638
+0.0432461
+0.04393
+0.044711
+0.0455662
+0.0465064
+0.0475291
+0.048629
+0.049801
+0.0510312
+0.0523195
+0.0536663
+0.0550674
+0.0565187
+0.058015
+0.0595519
+0.0611287
+0.0626308
+0.0637157
+0.0648566
+0.0660504
+0.0671035
+0.0671245
+0.067217
+0.0673806
+0.0676148
+0.0679189
+0.068292
+0.0687329
+0.0692403
+0.0838495
+0.0822178
+0.0806126
+0.0790355
+0.0774883
+0.0759727
+0.0744907
+0.0730444
+0.0716358
+0.0702674
+0.0689414
+0.0676603
+0.0664268
+0.0652436
+0.0641092
+0.0630236
+0.0618238
+0.0602394
+0.058693
+0.0571887
+0.0557299
+0.0543203
+0.0529639
+0.0516647
+0.0504273
+0.0492563
+0.0481565
+0.0471289
+0.0461664
+0.0452895
+0.0445033
+0.0438126
+0.043222
+0.0427357
+0.0423573
+0.0420896
+0.0419347
+0.0418941
+0.0419537
+0.0421194
+0.0423978
+0.0427866
+0.043283
+0.0438833
+0.0445832
+0.0453782
+0.0462633
+0.0472336
+0.0482838
+0.0483048
+0.0471648
+0.0460966
+0.045107
+0.0442039
+0.0433928
+0.0426708
+0.0420439
+0.0415233
+0.041113
+0.0408163
+0.0406233
+0.0405375
+0.0405699
+0.0407204
+0.0409876
+0.0413692
+0.0418523
+0.0423106
+0.0427125
+0.0431385
+0.0436258
+0.0442018
+0.0448712
+0.045636
+0.0464743
+0.0473965
+0.0484003
+0.0494808
+0.0506331
+0.0518509
+0.0531297
+0.0544565
+0.0558377
+0.0572695
+0.0586038
+0.0595205
+0.0605027
+0.0615473
+0.062651
+0.0638109
+0.065024
+0.0662872
+0.0675979
+0.0676989
+0.0678613
+0.0680939
+0.0683959
+0.0687663
+0.0692042
+0.0697082
+0.0851209
+0.083514
+0.0819342
+0.0803831
+0.0788623
+0.0773736
+0.075919
+0.0745004
+0.0731199
+0.0717797
+0.0704822
+0.0692296
+0.0680246
+0.0668688
+0.0657559
+0.0646776
+0.0630882
+0.0615354
+0.0600224
+0.0585522
+0.0571283
+0.0557541
+0.0544333
+0.0531701
+0.0519686
+0.0508331
+0.0497681
+0.0487626
+0.047833
+0.0469872
+0.0462299
+0.0455653
+0.0449978
+0.0445308
+0.0441678
+0.0439111
+0.0437627
+0.0437238
+0.0437815
+0.0439403
+0.0442072
+0.0445803
+0.0450569
+0.0456338
+0.0463073
+0.0470732
+0.047927
+0.0488642
+0.0498801
+0.0490213
+0.0478935
+0.0468394
+0.0458659
+0.0449781
+0.0441811
+0.0434722
+0.0428571
+0.0423465
+0.0419442
+0.0416534
+0.0414643
+0.0413803
+0.0414121
+0.0415595
+0.0418213
+0.0421953
+0.0426691
+0.0432368
+0.0437584
+0.0441842
+0.0446602
+0.0452315
+0.0458872
+0.0466366
+0.0474661
+0.0483694
+0.0493534
+0.0504135
+0.051545
+0.0527417
+0.0540004
+0.0551323
+0.0558653
+0.0566575
+0.0575219
+0.0584556
+0.0594554
+0.060518
+0.0616402
+0.0628187
+0.0640505
+0.0653326
+0.066661
+0.06803
+0.068353
+0.0685704
+0.0688568
+0.0692114
+0.0696331
+0.0701208
+0.0864291
+0.084847
+0.0832925
+0.0817671
+0.0802726
+0.0788105
+0.0773829
+0.0759917
+0.0746388
+0.0733264
+0.0720567
+0.070832
+0.0696547
+0.0685193
+0.0674335
+0.0659595
+0.0644014
+0.062881
+0.0614012
+0.0599648
+0.0585752
+0.0572358
+0.0559501
+0.0547219
+0.0535551
+0.052454
+0.0514143
+0.0504385
+0.0495404
+0.0487242
+0.0479943
+0.0473546
+0.0468087
+0.04636
+0.0460114
+0.045765
+0.0456227
+0.0455853
+0.0456412
+0.0457936
+0.0460497
+0.046408
+0.046866
+0.047421
+0.0480694
+0.0488076
+0.0496317
+0.0505373
+0.0509918
+0.049817
+0.0487075
+0.0476715
+0.0467153
+0.0458439
+0.0450623
+0.0443654
+0.0437628
+0.0432629
+0.0428692
+0.0425848
+0.042402
+0.0423198
+0.0423509
+0.0424951
+0.0427511
+0.0431171
+0.0435809
+0.0441368
+0.0447931
+0.0453119
+0.0457761
+0.0463337
+0.0469739
+0.0477063
+0.0485266
+0.0494203
+0.0503839
+0.0514227
+0.0523146
+0.0528145
+0.0533997
+0.0540674
+0.0548145
+0.0556218
+0.056502
+0.0574522
+0.0584692
+0.0595494
+0.0606895
+0.0618862
+0.0631362
+0.0644365
+0.0657829
+0.0671699
+0.0685987
+0.069007
+0.0692916
+0.069644
+0.0700632
+0.0705478
+0.0877725
+0.0862151
+0.0846857
+0.0831859
+0.0817172
+0.0802815
+0.0788805
+0.0775162
+0.0761903
+0.0749051
+0.0736626
+0.0724651
+0.0713101
+0.0701992
+0.0688504
+0.067288
+0.0657613
+0.0642731
+0.0628261
+0.0614231
+0.0600673
+0.0587618
+0.0575102
+0.0563161
+0.055183
+0.0541135
+0.0530969
+0.0521526
+0.0512845
+0.0504966
+0.0497926
+0.0491763
+0.0486508
+0.0482193
+0.0478842
+0.0476476
+0.0475109
+0.047475
+0.0475291
+0.0476754
+0.0479216
+0.0482659
+0.0487065
+0.0492407
+0.0498655
+0.0505775
+0.0513731
+0.0522486
+0.0518498
+0.0506948
+0.049605
+0.0485882
+0.0476504
+0.0467964
+0.0460246
+0.0453383
+0.0447489
+0.0442601
+0.0438754
+0.0435975
+0.0434283
+0.0433498
+0.0433801
+0.0435209
+0.0437709
+0.0441285
+0.0445787
+0.0451224
+0.0457646
+0.0465012
+0.0469677
+0.0475113
+0.0481359
+0.0488509
+0.0496523
+0.0502995
+0.0505351
+0.0508642
+0.0512847
+0.0517946
+0.0523912
+0.0530715
+0.0538325
+0.0546542
+0.0555498
+0.0565161
+0.0575496
+0.0586467
+0.059804
+0.0610181
+0.0622855
+0.0636032
+0.0649669
+0.0663709
+0.0678166
+0.0693014
+0.0697926
+0.0701424
+0.0705586
+0.0710399
+0.0891495
+0.0876166
+0.0861121
+0.0846375
+0.0831945
+0.0817848
+0.08041
+0.079072
+0.0777727
+0.076514
+0.0752981
+0.0741255
+0.0729916
+0.0717587
+0.0701926
+0.0686606
+0.0671652
+0.0657088
+0.0642941
+0.0629239
+0.0616011
+0.0603288
+0.0591104
+0.0579492
+0.0568488
+0.0558008
+0.0548155
+0.0539012
+0.0530617
+0.0523006
+0.0516213
+0.051027
+0.0505208
+0.0501054
+0.049783
+0.0495554
+0.049424
+0.0493895
+0.0494421
+0.0495827
+0.0498194
+0.0501508
+0.0505749
+0.0510896
+0.051692
+0.0523792
+0.0531479
+0.0539839
+0.0527848
+0.0516508
+0.0505816
+0.0495847
+0.0486661
+0.0478272
+0.0470653
+0.0463944
+0.0458185
+0.0453413
+0.0449658
+0.0446947
+0.0445298
+0.0444634
+0.044493
+0.0446302
+0.0448741
+0.045223
+0.0456588
+0.0461898
+0.0468173
+0.0473948
+0.047586
+0.0478767
+0.0482599
+0.0487338
+0.0491811
+0.0493249
+0.0495652
+0.0499006
+0.0503292
+0.0508486
+0.0514562
+0.0521475
+0.0529102
+0.0537514
+0.0546673
+0.0556504
+0.0566997
+0.057813
+0.0589867
+0.0602172
+0.0615011
+0.0628352
+0.0642153
+0.0656354
+0.0670969
+0.0685973
+0.070134
+0.0707053
+0.0711181
+0.0715957
+0.0905586
+0.0890499
+0.08757
+0.0861204
+0.0847027
+0.0833185
+0.0819694
+0.0806573
+0.0793839
+0.0781512
+0.0769612
+0.0758078
+0.0746822
+0.0731131
+0.0715766
+0.0700749
+0.0686104
+0.0671853
+0.0658023
+0.0644642
+0.0631736
+0.0619337
+0.0607475
+0.0596182
+0.0585437
+0.0575219
+0.0565666
+0.0556812
+0.0548689
+0.0541332
+0.0534771
+0.0529037
+0.0524157
+0.0520154
+0.0517049
+0.0514858
+0.0513593
+0.0513261
+0.0513772
+0.0515126
+0.0517404
+0.0520595
+0.0524683
+0.0529645
+0.0535459
+0.0542096
+0.0549527
+0.05497
+0.0537928
+0.0526805
+0.0516326
+0.0506565
+0.0497575
+0.0489276
+0.0481831
+0.047528
+0.0469661
+0.0465006
+0.0461346
+0.0458704
+0.0457097
+0.0456352
+0.045664
+0.0457978
+0.0460355
+0.0463756
+0.0464909
+0.046392
+0.0463808
+0.0464729
+0.0466678
+0.0469642
+0.0473602
+0.0478471
+0.0482822
+0.0484286
+0.0486734
+0.0490149
+0.0494512
+0.0499797
+0.0505913
+0.0512836
+0.052059
+0.0529137
+0.053844
+0.0548461
+0.0559162
+0.0570501
+0.0582403
+0.0594862
+0.0607856
+0.0621351
+0.0635303
+0.0649654
+0.0664417
+0.0679565
+0.0695074
+0.0710919
+0.0716868
+0.0720833
+0.0919982
+0.0905135
+0.089058
+0.087633
+0.0862402
+0.084881
+0.0835572
+0.0822704
+0.0810224
+0.079815
+0.0786452
+0.0775155
+0.0760476
+0.0745073
+0.0730002
+0.0715284
+0.0700942
+0.0686999
+0.067348
+0.0660412
+0.0647821
+0.0635735
+0.0624185
+0.06132
+0.0602661
+0.0592741
+0.0583475
+0.0574894
+0.0567031
+0.0559915
+0.0553575
+0.0548037
+0.0543327
+0.0539467
+0.0536474
+0.0534363
+0.0533144
+0.0532824
+0.0533321
+0.0534625
+0.0536821
+0.0539897
+0.0543839
+0.0548629
+0.0554243
+0.0560658
+0.0567846
+0.0560244
+0.0548698
+0.0537798
+0.0527538
+0.0517987
+0.0509106
+0.0500998
+0.0493729
+0.0487338
+0.0481859
+0.0477323
+0.0473758
+0.0471186
+0.0469543
+0.0468801
+0.0469082
+0.0465558
+0.0461505
+0.0458463
+0.0456454
+0.0455447
+0.0455332
+0.0456271
+0.0458256
+0.0461274
+0.0465305
+0.0470323
+0.047457
+0.047606
+0.0478549
+0.0482022
+0.0486458
+0.0491813
+0.0497969
+0.0505001
+0.0512872
+0.0521546
+0.0530983
+0.0541142
+0.0551984
+0.0563418
+0.0575455
+0.0588061
+0.0601202
+0.0614843
+0.0628951
+0.0643496
+0.0658449
+0.0673782
+0.0689447
+0.0705419
+0.072137
+0.0725312
+0.0934671
+0.0920061
+0.0905745
+0.0891738
+0.0878054
+0.0864708
+0.0851717
+0.0839097
+0.0826864
+0.0815015
+0.0803523
+0.0789947
+0.077451
+0.0759391
+0.074461
+0.0730186
+0.0716143
+0.0702502
+0.0689287
+0.0676524
+0.0664238
+0.0652457
+0.0641208
+0.0630432
+0.0620182
+0.0610546
+0.0601554
+0.0593235
+0.0585618
+0.0578731
+0.0572599
+0.0567247
+0.0562698
+0.0558971
+0.0556083
+0.0554047
+0.0552872
+0.0552563
+0.0553046
+0.0554304
+0.0556422
+0.0559391
+0.0563197
+0.0567823
+0.0573249
+0.0579454
+0.0583352
+0.0571433
+0.0560119
+0.0549445
+0.0539406
+0.0530005
+0.0521302
+0.0513387
+0.0506296
+0.0500066
+0.0494727
+0.0490311
+0.0486841
+0.0484297
+0.0476389
+0.0469371
+0.0463284
+0.0458164
+0.0454044
+0.0450953
+0.044891
+0.0447886
+0.0447769
+0.0448724
+0.0450742
+0.045381
+0.0457907
+0.0463005
+0.046712
+0.0468634
+0.0471162
+0.0474689
+0.0479193
+0.0484628
+0.0490874
+0.0498006
+0.0505987
+0.0514777
+0.0524335
+0.0534587
+0.0545502
+0.0557064
+0.0569235
+0.0581977
+0.0595252
+0.0609026
+0.0623266
+0.0637941
+0.065302
+0.0668478
+0.0684288
+0.0700426
+0.071687
+0.0730312
+0.0949637
+0.0935261
+0.0921182
+0.0907413
+0.0893968
+0.0880864
+0.0868115
+0.0855736
+0.0843744
+0.0832078
+0.0819529
+0.0804063
+0.0788902
+0.0774064
+0.0759568
+0.0745435
+0.0731684
+0.0718338
+0.070542
+0.0692954
+0.0680965
+0.0669478
+0.0658488
+0.0647942
+0.0637973
+0.062861
+0.061988
+0.0611811
+0.0604428
+0.0597757
+0.0591822
+0.0586646
+0.0582249
+0.0578648
+0.0575858
+0.0573892
+0.0572758
+0.057246
+0.057293
+0.0574145
+0.057619
+0.0579057
+0.0582735
+0.0587207
+0.0592456
+0.0598461
+0.0594913
+0.0583232
+0.057215
+0.0561705
+0.0551833
+0.0542596
+0.0534098
+0.0526376
+0.0519463
+0.0513392
+0.0507086
+0.0496736
+0.0487063
+0.0478198
+0.0470187
+0.0463075
+0.0456904
+0.0451712
+0.0447533
+0.0444396
+0.0442323
+0.0441284
+0.0441165
+0.0442134
+0.0444182
+0.0447295
+0.0451451
+0.0456621
+0.0460593
+0.0462128
+0.0464692
+0.0468267
+0.0472832
+0.047834
+0.0484667
+0.0491889
+0.0499967
+0.0508848
+0.0518455
+0.0528795
+0.0539827
+0.0551508
+0.05638
+0.0576661
+0.0590056
+0.0603949
+0.0618306
+0.0633095
+0.0648287
+0.0663851
+0.0679752
+0.0695979
+0.071251
+0.0729324
+0.0964869
+0.0950723
+0.0936876
+0.0923341
+0.0910132
+0.0897264
+0.0884751
+0.0872608
+0.08608
+0.0849211
+0.083372
+0.0818522
+0.0803634
+0.0789073
+0.0774858
+0.0761008
+0.0747544
+0.0734486
+0.0721857
+0.070968
+0.0697979
+0.0686776
+0.0675981
+0.0665712
+0.0656013
+0.0646912
+0.0638432
+0.06306
+0.062344
+0.0616974
+0.0611226
+0.0606216
+0.0601961
+0.0598479
+0.0595783
+0.0593882
+0.0592786
+0.0592498
+0.0592957
+0.059413
+0.0596107
+0.0598879
+0.0602435
+0.0606762
+0.0611844
+0.0617661
+0.0607046
+0.0595602
+0.0584755
+0.0574444
+0.0564028
+0.0552987
+0.0542605
+0.0532922
+0.0523977
+0.0513304
+0.0502221
+0.0491768
+0.0481995
+0.0473036
+0.0464936
+0.0457743
+0.0451498
+0.0446244
+0.0442013
+0.0438837
+0.0436737
+0.0435684
+0.0435564
+0.0436545
+0.043862
+0.0441772
+0.0445979
+0.0451212
+0.0455027
+0.0456581
+0.0459176
+0.0462794
+0.0467412
+0.0472983
+0.0479381
+0.0486638
+0.0494738
+0.0503662
+0.0513366
+0.0523806
+0.0534941
+0.0546727
+0.0559123
+0.057209
+0.058559
+0.0599586
+0.0614044
+0.0628934
+0.0644215
+0.0659861
+0.0675856
+0.0692174
+0.0708794
+0.0725695
+0.0980354
+0.0966435
+0.0952816
+0.0939511
+0.0926532
+0.0913895
+0.0901613
+0.0889674
+0.0878066
+0.0863469
+0.0848239
+0.0833306
+0.0818686
+0.0804398
+0.0790459
+0.0776887
+0.0763703
+0.0750927
+0.0738579
+0.0726682
+0.0715258
+0.0704268
+0.0693725
+0.0683722
+0.0674283
+0.0665431
+0.0657191
+0.0649585
+0.0642636
+0.0636366
+0.0630794
+0.0625941
+0.0621821
+0.0618451
+0.0615842
+0.0614003
+0.0612943
+0.0612665
+0.0613112
+0.0614247
+0.0616159
+0.0618842
+0.0622284
+0.0626474
+0.0631396
+0.0624848
+0.0610985
+0.0597603
+0.0584736
+0.0572418
+0.0560686
+0.0549577
+0.053913
+0.0529383
+0.0520377
+0.0509441
+0.0498272
+0.0487735
+0.0477879
+0.0468841
+0.0460668
+0.0453407
+0.0447102
+0.0441795
+0.0437521
+0.0434312
+0.0432191
+0.0431126
+0.0431005
+0.0431997
+0.0434093
+0.0437278
+0.0441528
+0.0446813
+0.0450459
+0.0452029
+0.045465
+0.0458304
+0.0462967
+0.0468482
+0.0474874
+0.0482177
+0.0490351
+0.0499353
+0.0509139
+0.0519665
+0.0530886
+0.054276
+0.0555245
+0.05683
+0.0581888
+0.0595971
+0.0610515
+0.0625489
+0.0640852
+0.0656578
+0.0672651
+0.0689045
+0.0705739
+0.0722711
+0.0996079
+0.0982383
+0.0968989
+0.0955908
+0.0943156
+0.0930744
+0.0918684
+0.0906919
+0.0893298
+0.0878038
+0.0863064
+0.0848392
+0.0834037
+0.0820017
+0.0806348
+0.0793048
+0.0780137
+0.0767634
+0.0755559
+0.0743934
+0.0732772
+0.0721981
+0.0711701
+0.0701955
+0.0692764
+0.0684151
+0.0676139
+0.0668748
+0.0662001
+0.0655916
+0.0650512
+0.0645806
+0.0641814
+0.0638549
+0.0636022
+0.0634243
+0.0633217
+0.0632947
+0.0633384
+0.0634483
+0.0636334
+0.0638932
+0.0642266
+0.0646327
+0.0636968
+0.0622604
+0.060869
+0.0595256
+0.0582337
+0.0569967
+0.0558184
+0.0547024
+0.0536527
+0.0526733
+0.051768
+0.0506497
+0.0495262
+0.0484659
+0.047474
+0.046564
+0.045741
+0.0450096
+0.0443745
+0.0438397
+0.043409
+0.0430855
+0.0428716
+0.0427644
+0.0427522
+0.0428521
+0.0430634
+0.0433844
+0.0438128
+0.0443453
+0.0446733
+0.0448316
+0.0450958
+0.0454642
+0.0459342
+0.046488
+0.047132
+0.0478678
+0.0486911
+0.0495975
+0.0505826
+0.051642
+0.052771
+0.0539654
+0.0552209
+0.0565335
+0.0578992
+0.0593143
+0.0607756
+0.0622796
+0.0638223
+0.0654013
+0.0670147
+0.0686601
+0.0703353
+0.0720381
+0.101204
+0.0998558
+0.0985383
+0.0972523
+0.0959991
+0.09478
+0.0935908
+0.0923167
+0.0907881
+0.0892871
+0.087815
+0.0863734
+0.0849639
+0.083588
+0.0822474
+0.0809439
+0.0796794
+0.0784557
+0.0772747
+0.0761384
+0.0750452
+0.0739919
+0.0729892
+0.0720391
+0.0711439
+0.0703055
+0.069526
+0.0688075
+0.0681519
+0.067561
+0.0670365
+0.0665799
+0.0661928
+0.0658763
+0.0656314
+0.0654589
+0.0653595
+0.0653334
+0.0653761
+0.0654826
+0.065662
+0.0659137
+0.066237
+0.0650206
+0.0635487
+0.0621107
+0.0607173
+0.0593709
+0.0580755
+0.0568351
+0.0556534
+0.054534
+0.053481
+0.0524983
+0.05159
+0.0504488
+0.0493207
+0.0482559
+0.0472596
+0.0463454
+0.0455184
+0.0447834
+0.044145
+0.0436074
+0.0431744
+0.0428491
+0.0426341
+0.0425247
+0.0425125
+0.042613
+0.0428254
+0.0431482
+0.0435789
+0.0441143
+0.0444036
+0.0445628
+0.0448287
+0.0451992
+0.045672
+0.0462289
+0.0468765
+0.0476162
+0.0484438
+0.0493548
+0.0503446
+0.0514089
+0.0525429
+0.0537424
+0.055003
+0.0563206
+0.0576913
+0.0591115
+0.0605776
+0.0620864
+0.0636338
+0.0652174
+0.0668353
+0.068485
+0.0701643
+0.0718712
+0.102821
+0.101495
+0.100199
+0.0989344
+0.0977028
+0.0965021
+0.0953107
+0.0937797
+0.0922753
+0.0907988
+0.0893517
+0.0879353
+0.0865512
+0.0852009
+0.0838862
+0.0826086
+0.0813699
+0.080172
+0.0790166
+0.0779057
+0.076835
+0.0758066
+0.0748282
+0.0739018
+0.0730293
+0.0722128
+0.0714542
+0.0707553
+0.0701179
+0.0695437
+0.0690342
+0.068591
+0.0682153
+0.0679082
+0.0676706
+0.0675034
+0.067407
+0.0673817
+0.0674234
+0.0675267
+0.0677006
+0.0679448
+0.0664615
+0.0649463
+0.0634644
+0.0620244
+0.0606295
+0.0592827
+0.0579873
+0.0567471
+0.0555655
+0.054445
+0.05339
+0.0524053
+0.0514951
+0.0503425
+0.0492101
+0.0481339
+0.047135
+0.0462183
+0.045389
+0.0446519
+0.0440116
+0.0434723
+0.0430379
+0.0427116
+0.0424959
+0.0423767
+0.0423644
+0.0424653
+0.0426785
+0.0430024
+0.0434345
+0.0439716
+0.0442409
+0.0444007
+0.0446675
+0.0450394
+0.0455138
+0.0460726
+0.0467224
+0.0474645
+0.0482947
+0.0492084
+0.0502012
+0.0512684
+0.0524055
+0.053608
+0.0548717
+0.0561924
+0.0575662
+0.0589894
+0.0604584
+0.0619701
+0.0635204
+0.0651067
+0.0667273
+0.0683796
+0.0700615
+0.0717708
+0.104459
+0.103154
+0.101879
+0.100636
+0.0994247
+0.0982409
+0.096778
+0.0952706
+0.0937901
+0.0923378
+0.0909152
+0.0895235
+0.0881644
+0.0868392
+0.0855496
+0.0842972
+0.0830837
+0.0819109
+0.0807804
+0.0796941
+0.0786451
+0.0776407
+0.0766856
+0.0757819
+0.0749314
+0.0741359
+0.0733971
+0.0727169
+0.0720968
+0.0715385
+0.0710433
+0.0706127
+0.0702478
+0.0699496
+0.0697191
+0.0695568
+0.0694632
+0.0694386
+0.0694795
+0.0695797
+0.0695936
+0.068013
+0.066459
+0.0649377
+0.0634556
+0.0620154
+0.0606203
+0.0592733
+0.0579777
+0.0567372
+0.0555555
+0.0544348
+0.0533795
+0.0523947
+0.0514842
+0.0503292
+0.04918
+0.0481031
+0.0471035
+0.0461862
+0.0453563
+0.0446187
+0.0439778
+0.0434382
+0.0430035
+0.0426769
+0.042461
+0.0423417
+0.0423294
+0.0424303
+0.0426437
+0.0429679
+0.0434003
+0.0439379
+0.0441864
+0.0443463
+0.0446135
+0.0449858
+0.0454608
+0.0460202
+0.0466708
+0.0474137
+0.0482447
+0.0491594
+0.0501531
+0.0512213
+0.0523594
+0.053563
+0.0548277
+0.0561495
+0.0575243
+0.0589485
+0.0604185
+0.0619312
+0.0634824
+0.0650697
+0.0666911
+0.0683443
+0.070027
+0.0717371
+0.105749
+0.104833
+0.103579
+0.102356
+0.101161
+0.0997824
+0.0982722
+0.096788
+0.0953311
+0.0939027
+0.0925042
+0.0911368
+0.089802
+0.0885014
+0.0872364
+0.0860085
+0.0848195
+0.083671
+0.0825646
+0.0815021
+0.0804741
+0.0794928
+0.0785603
+0.0776784
+0.0768488
+0.0760734
+0.0753536
+0.0746912
+0.0740876
+0.0735444
+0.0730629
+0.0726442
+0.0722896
+0.0719999
+0.0717759
+0.0716182
+0.0715274
+0.0715035
+0.0715435
+0.0712788
+0.0696679
+0.0680792
+0.0665228
+0.065003
+0.0635224
+0.0620838
+0.0606902
+0.0593448
+0.0580509
+0.056812
+0.0556318
+0.0545127
+0.0534589
+0.0524756
+0.0515666
+0.0503951
+0.0492473
+0.0481719
+0.0471738
+0.046258
+0.0454294
+0.0446929
+0.0440532
+0.0435144
+0.0430805
+0.0427545
+0.042539
+0.0424199
+0.0424076
+0.0425084
+0.0427214
+0.043045
+0.0434766
+0.0440133
+0.0442403
+0.0444001
+0.0446669
+0.0450388
+0.0455132
+0.0460721
+0.0467219
+0.047464
+0.0482941
+0.0492079
+0.0502007
+0.0512679
+0.052405
+0.0536075
+0.0548712
+0.0561919
+0.0575657
+0.0589889
+0.060458
+0.0619697
+0.06352
+0.0651063
+0.0667269
+0.0683792
+0.0700611
+0.0717704
+0.10696
+0.106531
+0.105297
+0.104091
+0.102792
+0.10128
+0.0997921
+0.0983309
+0.0968972
+0.0954922
+0.0941173
+0.0927737
+0.0914628
+0.0901861
+0.0889451
+0.0877412
+0.086576
+0.085451
+0.084368
+0.0833264
+0.0823208
+0.0813617
+0.0804509
+0.07959
+0.0787805
+0.0780243
+0.0773227
+0.0766773
+0.0760895
+0.0755607
+0.075092
+0.0746848
+0.0743399
+0.0740582
+0.0738404
+0.0736872
+0.0735989
+0.0735757
+0.0730437
+0.0714055
+0.0697976
+0.0682118
+0.0666586
+0.0651419
+0.0636646
+0.0622293
+0.060839
+0.0594969
+0.0582064
+0.0569709
+0.0557941
+0.0546783
+0.0536278
+0.0526476
+0.0517416
+0.0505558
+0.0494118
+0.0483401
+0.0473455
+0.046433
+0.0456076
+0.0448741
+0.044237
+0.0437005
+0.0432684
+0.0429439
+0.0427293
+0.0426108
+0.0425985
+0.0426988
+0.0429109
+0.0432331
+0.0436629
+0.0441972
+0.0443836
+0.0445429
+0.0448088
+0.0451795
+0.0456525
+0.0462245
+0.0468754
+0.0476151
+0.0484427
+0.0493537
+0.0503436
+0.0514079
+0.0525419
+0.0537414
+0.055002
+0.0563197
+0.0576904
+0.0591106
+0.0605767
+0.0620856
+0.063633
+0.0652166
+0.0668345
+0.0684842
+0.0701636
+0.0718705
+0.108202
+0.107867
+0.10703
+0.105807
+0.104292
+0.102802
+0.101337
+0.099898
+0.0984871
+0.0971051
+0.0957534
+0.094433
+0.0931455
+0.0918922
+0.0906745
+0.0894939
+0.0883518
+0.0872498
+0.0861894
+0.0851676
+0.0841839
+0.0832464
+0.0823564
+0.0815156
+0.0807255
+0.0799876
+0.0793033
+0.0786742
+0.0781014
+0.0775863
+0.07713
+0.0767336
+0.0763979
+0.0761238
+0.075912
+0.0757629
+0.0756771
+0.0748952
+0.0732328
+0.071599
+0.0699955
+0.0684144
+0.0668659
+0.0653541
+0.0638816
+0.0624513
+0.0610661
+0.0597291
+0.0584437
+0.0572133
+0.0560416
+0.0549308
+0.0538853
+0.0529098
+0.0520016
+0.0508106
+0.0496725
+0.0486065
+0.0476175
+0.0467103
+0.0458899
+0.045161
+0.0445279
+0.043995
+0.0435659
+0.0432435
+0.0430305
+0.0429128
+0.0429006
+0.0430002
+0.0432108
+0.0435307
+0.0439576
+0.0444885
+0.044632
+0.0447904
+0.0450549
+0.0454236
+0.045894
+0.0464623
+0.0471067
+0.0478428
+0.0486665
+0.0495734
+0.050559
+0.0516188
+0.0527484
+0.0539433
+0.0551993
+0.0565123
+0.0578785
+0.0592942
+0.0607559
+0.0622604
+0.0638046
+0.0653858
+0.0670013
+0.0686486
+0.0703257
+0.0720303
+0.109473
+0.109142
+0.108777
+0.10731
+0.105817
+0.104348
+0.102905
+0.101488
+0.1001
+0.0987403
+0.0974112
+0.0961137
+0.094849
+0.0936185
+0.0924235
+0.0912655
+0.0901459
+0.0890661
+0.0880275
+0.087025
+0.0860626
+0.0851456
+0.0842757
+0.0834543
+0.0826827
+0.0819624
+0.0812948
+0.0806812
+0.0801228
+0.0796207
+0.0791762
+0.07879
+0.0784631
+0.0781963
+0.0779901
+0.077845
+0.076827
+0.0751436
+0.0734869
+0.0718588
+0.0702612
+0.0686863
+0.0671441
+0.0656386
+0.0641727
+0.062749
+0.0613705
+0.0600404
+0.0587617
+0.0575381
+0.0563707
+0.0552656
+0.0542266
+0.0532574
+0.0523411
+0.051158
+0.0500278
+0.0489695
+0.047988
+0.047088
+0.0462743
+0.0455515
+0.044924
+0.0443958
+0.0439706
+0.0436512
+0.0434402
+0.0433236
+0.0433115
+0.0434102
+0.0436188
+0.0439357
+0.0443588
+0.0448848
+0.0449858
+0.045143
+0.0454054
+0.0457713
+0.0462382
+0.0467967
+0.0474366
+0.0481677
+0.0489859
+0.049887
+0.0508665
+0.0519201
+0.0530432
+0.0542316
+0.0554811
+0.0567876
+0.0581473
+0.0595566
+0.061012
+0.0625103
+0.0640485
+0.0656238
+0.0672336
+0.0688754
+0.0705471
+0.0722465
+0.110773
+0.110446
+0.110154
+0.108836
+0.107364
+0.105916
+0.104495
+0.1031
+0.101734
+0.100397
+0.0990898
+0.0978145
+0.0965721
+0.0953638
+0.094191
+0.093055
+0.0919572
+0.0908989
+0.0898815
+0.0888975
+0.0879556
+0.0870586
+0.086208
+0.0854051
+0.0846513
+0.083948
+0.0832963
+0.0826975
+0.0821528
+0.0816633
+0.0812299
+0.0808535
+0.080535
+0.0802751
+0.0800742
+0.0788333
+0.0771314
+0.0754548
+0.0738051
+0.0721841
+0.070594
+0.0690267
+0.0674922
+0.0659948
+0.0645369
+0.0631215
+0.0617505
+0.0604265
+0.059154
+0.0579365
+0.0567773
+0.0556803
+0.0546491
+0.0536875
+0.0527695
+0.0515962
+0.0504758
+0.0494271
+0.0484549
+0.0475637
+0.0467582
+0.046043
+0.0454223
+0.0449
+0.0444796
+0.0441639
+0.0439553
+0.0438401
+0.0438282
+0.0439257
+0.0441319
+0.0444452
+0.0448634
+0.0453836
+0.0454426
+0.0455982
+0.045858
+0.0462203
+0.0466827
+0.0472305
+0.0478646
+0.0485892
+0.0494005
+0.0502941
+0.0512659
+0.0523114
+0.0534263
+0.0546063
+0.0558474
+0.0571456
+0.058497
+0.0598981
+0.0613454
+0.0628357
+0.0643662
+0.0659339
+0.0675362
+0.0691709
+0.0708356
+0.0725282
+0.111949
+0.111733
+0.111482
+0.110384
+0.108933
+0.107507
+0.106107
+0.104734
+0.103389
+0.102073
+0.100788
+0.0995345
+0.0983138
+0.0971272
+0.095976
+0.0948613
+0.0937846
+0.0927472
+0.0917495
+0.0907843
+0.0898622
+0.0889844
+0.0881524
+0.0873674
+0.0866306
+0.0859435
+0.085307
+0.0847225
+0.0841909
+0.0837132
+0.0832905
+0.0829235
+0.082613
+0.0823596
+0.0809085
+0.0791906
+0.0774966
+0.075828
+0.0741866
+0.0725742
+0.0709928
+0.0694346
+0.0679093
+0.0664199
+0.0649696
+0.0635617
+0.0621991
+0.0608849
+0.0596222
+0.0584143
+0.0572649
+0.0561774
+0.0551555
+0.0542029
+0.0532845
+0.0521228
+0.051014
+0.0499766
+0.0490153
+0.0481345
+0.0473387
+0.0466324
+0.0460197
+0.0455042
+0.0450894
+0.0447781
+0.0445723
+0.0444587
+0.044447
+0.0445431
+0.0447464
+0.0450555
+0.0454681
+0.0459497
+0.0459993
+0.046153
+0.0464098
+0.0467678
+0.0472248
+0.0477609
+0.048388
+0.049105
+0.0499078
+0.0507926
+0.051755
+0.0527908
+0.0538958
+0.0550658
+0.0562967
+0.0575848
+0.0589261
+0.0603172
+0.0617547
+0.0632354
+0.0647564
+0.0663149
+0.0679082
+0.0695341
+0.0711903
+0.0728747
+0.113094
+0.112881
+0.11271
+0.111954
+0.110524
+0.109118
+0.107739
+0.106387
+0.105063
+0.103769
+0.102505
+0.101273
+0.100073
+0.0989077
+0.0977774
+0.0966836
+0.0956274
+0.0946101
+0.09363
+0.0926845
+0.0917814
+0.0909222
+0.0901081
+0.0893402
+0.0886199
+0.0879483
+0.0873265
+0.0867555
+0.0862364
+0.0857702
+0.0853577
+0.0849996
+0.0846967
+0.0830475
+0.0813158
+0.0796067
+0.0779217
+0.0762624
+0.0746306
+0.0730279
+0.0714559
+0.069905
+0.0683883
+0.0669089
+0.0654695
+0.0640725
+0.0627211
+0.061418
+0.0601665
+0.0589698
+0.0578314
+0.0567547
+0.0557434
+0.0548011
+0.0538838
+0.0527353
+0.0516396
+0.050615
+0.049666
+0.048797
+0.0480122
+0.047316
+0.0467122
+0.0462045
+0.045796
+0.0454895
+0.045287
+0.0451752
+0.0451636
+0.0452583
+0.0454584
+0.0457626
+0.0461689
+0.0466034
+0.0466524
+0.0468039
+0.0470571
+0.0474102
+0.047858
+0.0483848
+0.0490039
+0.049712
+0.0505052
+0.0513797
+0.0523313
+0.0533559
+0.0544494
+0.0556078
+0.056827
+0.0581032
+0.0594329
+0.0608124
+0.0622384
+0.0637079
+0.0652179
+0.0667656
+0.0683485
+0.0699641
+0.0716104
+0.0732851
+0.114268
+0.114057
+0.113888
+0.113545
+0.112134
+0.110749
+0.109391
+0.108059
+0.106756
+0.105483
+0.10424
+0.103028
+0.101849
+0.100704
+0.0995945
+0.0985208
+0.0974845
+0.0964869
+0.0955226
+0.094596
+0.0937113
+0.09287
+0.0920731
+0.0913218
+0.0906172
+0.0899605
+0.0893527
+0.0887947
+0.0882877
+0.0878323
+0.0874295
+0.0870092
+0.0852451
+0.0835012
+0.0817787
+0.0800791
+0.0784039
+0.0767547
+0.0751332
+0.0735411
+0.0719782
+0.070438
+0.068933
+0.0674656
+0.0660382
+0.0646536
+0.0633145
+0.0620239
+0.0607849
+0.0596007
+0.0584745
+0.0574099
+0.0564104
+0.0554793
+0.0545645
+0.0534306
+0.0523495
+0.0513391
+0.0504037
+0.0495476
+0.0487749
+0.0480897
+0.0474958
+0.0469965
+0.046595
+0.0462938
+0.0460948
+0.0459849
+0.0459736
+0.0460666
+0.0462632
+0.0465622
+0.0469615
+0.0473465
+0.0473947
+0.0475439
+0.0477932
+0.0481409
+0.0485795
+0.0490986
+0.0497088
+0.050407
+0.0511894
+0.0520524
+0.0529919
+0.054004
+0.0550846
+0.0562299
+0.0574359
+0.058699
+0.0600154
+0.0613818
+0.0627949
+0.0642517
+0.0657492
+0.0672847
+0.0688556
+0.0704596
+0.0720946
+0.0737583
+0.115472
+0.115263
+0.115095
+0.114969
+0.113764
+0.112399
+0.111061
+0.10975
+0.108467
+0.107214
+0.105991
+0.1048
+0.103641
+0.102516
+0.101426
+0.100372
+0.0993552
+0.0983758
+0.097427
+0.0965187
+0.0956518
+0.0948277
+0.0940474
+0.093312
+0.0926225
+0.0919801
+0.0913857
+0.0908403
+0.0903447
+0.0898998
+0.0892686
+0.0874951
+0.085741
+0.0840073
+0.0822955
+0.0806068
+0.0789428
+0.0773051
+0.0756954
+0.0741154
+0.0725621
+0.0710346
+0.0695425
+0.0680882
+0.0666742
+0.065303
+0.0639776
+0.0627006
+0.0614752
+0.0603045
+0.0591918
+0.0581403
+0.0571535
+0.0562348
+0.0553236
+0.0542056
+0.0531402
+0.0521452
+0.0512245
+0.0503823
+0.0496227
+0.0489493
+0.0483659
+0.0478758
+0.0474817
+0.0471861
+0.0469909
+0.0468832
+0.046872
+0.0469632
+0.0471561
+0.0474494
+0.0478414
+0.0481639
+0.0482113
+0.048358
+0.0486031
+0.0489451
+0.049382
+0.0498984
+0.050499
+0.0511864
+0.0519571
+0.0528075
+0.0537338
+0.0547322
+0.0557987
+0.0569296
+0.0581211
+0.0593696
+0.0606715
+0.0620234
+0.0634223
+0.0648649
+0.0663486
+0.0678705
+0.0694282
+0.0710193
+0.0726416
+0.0742931
+0.116704
+0.116497
+0.116332
+0.116207
+0.115413
+0.114068
+0.112749
+0.111458
+0.110195
+0.108962
+0.107759
+0.106587
+0.105448
+0.104343
+0.103272
+0.102237
+0.101239
+0.100274
+0.0993433
+0.0984526
+0.0976029
+0.0967954
+0.096031
+0.0953109
+0.0946361
+0.0940075
+0.093426
+0.0928925
+0.0924079
+0.091577
+0.0897957
+0.0880329
+0.0862897
+0.0845673
+0.082867
+0.0811902
+0.0795384
+0.0779132
+0.0763163
+0.0747495
+0.073207
+0.0716932
+0.0702151
+0.068775
+0.0673754
+0.0660188
+0.064708
+0.0634457
+0.062235
+0.0610789
+0.0599805
+0.0589432
+0.05797
+0.0570644
+0.0561579
+0.0550569
+0.0540083
+0.0530295
+0.0521245
+0.0512971
+0.0505512
+0.0498904
+0.0493181
+0.0488375
+0.0484513
+0.0481617
+0.0479705
+0.0478649
+0.047854
+0.0479433
+0.0481322
+0.0484197
+0.0488038
+0.0490656
+0.0491121
+0.0492561
+0.0494967
+0.0498326
+0.0502618
+0.0507801
+0.0513705
+0.0520463
+0.0528045
+0.0536415
+0.0545536
+0.0555373
+0.0565886
+0.0577041
+0.0588799
+0.0601126
+0.0613988
+0.062735
+0.0641183
+0.0655457
+0.0670143
+0.0685214
+0.0700646
+0.0716416
+0.0732502
+0.0748882
+0.117964
+0.11776
+0.117596
+0.117472
+0.117079
+0.115754
+0.114454
+0.113183
+0.111939
+0.110725
+0.109542
+0.108389
+0.10727
+0.106183
+0.105131
+0.104115
+0.103134
+0.102184
+0.101271
+0.100397
+0.099564
+0.0987725
+0.0980236
+0.0973182
+0.0966574
+0.0960419
+0.0954728
+0.0949509
+0.0939309
+0.092143
+0.0903729
+0.0886216
+0.0868901
+0.0851799
+0.0834921
+0.0818281
+0.0801895
+0.0785777
+0.0769929
+0.0754361
+0.0739088
+0.0724097
+0.0709465
+0.0695216
+0.0681373
+0.0667963
+0.065501
+0.0642543
+0.0630591
+0.0619184
+0.0608352
+0.0598126
+0.0588539
+0.0579621
+0.0570642
+0.055981
+0.0549501
+0.0539884
+0.0530997
+0.0522878
+0.0515562
+0.0509084
+0.0503477
+0.049877
+0.0494989
+0.0492154
+0.0490283
+0.048925
+0.0489144
+0.0490018
+0.0491867
+0.049468
+0.049844
+0.050047
+0.0500926
+0.0502338
+0.0504698
+0.0507992
+0.0512203
+0.0517308
+0.0523192
+0.052983
+0.0537279
+0.0545508
+0.055448
+0.056416
+0.0574513
+0.0585503
+0.0597095
+0.0609254
+0.0621947
+0.0635143
+0.064881
+0.0662919
+0.0677443
+0.0692355
+0.0707632
+0.0723249
+0.0739186
+0.0755422
+0.119251
+0.119049
+0.118887
+0.118764
+0.11868
+0.117456
+0.116176
+0.114923
+0.113699
+0.112504
+0.111339
+0.110206
+0.109105
+0.108037
+0.107003
+0.106004
+0.105039
+0.104105
+0.103208
+0.102351
+0.101534
+0.100758
+0.100024
+0.0993332
+0.0986858
+0.0980832
+0.097526
+0.0963269
+0.0945336
+0.0927574
+0.0909992
+0.0892601
+0.0875413
+0.085844
+0.0841696
+0.0825192
+0.080892
+0.0792907
+0.0777182
+0.0761762
+0.0746641
+0.0731804
+0.071733
+0.070324
+0.0689559
+0.067631
+0.066352
+0.0651216
+0.0639427
+0.062818
+0.0617505
+0.0607434
+0.0597996
+0.0589221
+0.0580391
+0.0569744
+0.0559617
+0.0550175
+0.0541454
+0.053349
+0.0526317
+0.0519967
+0.0514471
+0.0509858
+0.0506152
+0.0503374
+0.0501537
+0.0500545
+0.050044
+0.0501295
+0.0503102
+0.0505853
+0.0509531
+0.0511035
+0.0511482
+0.0512864
+0.0515176
+0.0518404
+0.0522531
+0.0527536
+0.0533394
+0.0539923
+0.0547235
+0.0555316
+0.0564132
+0.057365
+0.0583834
+0.0594652
+0.0606069
+0.0618052
+0.0630568
+0.0643587
+0.0657078
+0.0671013
+0.0685366
+0.070011
+0.071522
+0.0730676
+0.0746454
+0.0762535
+0.120564
+0.120364
+0.120204
+0.120083
+0.12
+0.119174
+0.117913
+0.116679
+0.115473
+0.114297
+0.113151
+0.112035
+0.110952
+0.109902
+0.108886
+0.107905
+0.106953
+0.106036
+0.105156
+0.104315
+0.103514
+0.102753
+0.102033
+0.101355
+0.100721
+0.100131
+0.098762
+0.0969642
+0.0951829
+0.093419
+0.0916735
+0.0899475
+0.0882421
+0.0865584
+0.0848947
+0.0832551
+0.0816414
+0.0800551
+0.0784979
+0.0769716
+0.0754754
+0.074008
+0.0725771
+0.0711848
+0.0698335
+0.0685256
+0.0672637
+0.0660503
+0.0648882
+0.0637801
+0.0627291
+0.0617379
+0.0608095
+0.0599469
+0.0590782
+0.0580196
+0.0570248
+0.0560981
+0.0552427
+0.054462
+0.0537593
+0.0531377
+0.0526001
+0.052149
+0.0517867
+0.0515151
+0.0513357
+0.0512384
+0.0512282
+0.0513116
+0.0514882
+0.051757
+0.0521166
+0.0522306
+0.0522743
+0.0524096
+0.0526358
+0.0529517
+0.0533558
+0.0538461
+0.0544202
+0.0550704
+0.0557874
+0.0565803
+0.0574458
+0.0583807
+0.0593818
+0.0604457
+0.0615692
+0.0627491
+0.0639823
+0.0652657
+0.0665964
+0.0679718
+0.069389
+0.0708456
+0.0723393
+0.0738677
+0.0754288
+0.0770206
+0.121902
+0.121704
+0.121546
+0.121426
+0.121345
+0.120908
+0.119665
+0.118449
+0.117262
+0.116103
+0.114975
+0.113878
+0.112812
+0.11178
+0.110781
+0.109815
+0.108878
+0.107977
+0.107113
+0.106288
+0.105501
+0.104755
+0.104049
+0.103385
+0.102763
+0.101233
+0.099432
+0.0976465
+0.0958779
+0.094127
+0.0923949
+0.0906817
+0.088987
+0.0873144
+0.0856651
+0.0840406
+0.0824423
+0.0808717
+0.0793305
+0.0778205
+0.076341
+0.0748905
+0.0734768
+0.0721019
+0.0707681
+0.0694778
+0.0682335
+0.0670376
+0.0658929
+0.0648021
+0.0637679
+0.0627931
+0.0618806
+0.0610331
+0.0601653
+0.0591255
+0.0581497
+0.0572412
+0.0564031
+0.0556387
+0.0549511
+0.0543431
+0.0538175
+0.0533767
+0.0530229
+0.0527576
+0.0525824
+0.052487
+0.0524771
+0.0525586
+0.052731
+0.0529935
+0.0533447
+0.0534237
+0.0534665
+0.0535988
+0.05382
+0.054129
+0.0545244
+0.0550042
+0.0555664
+0.0562083
+0.0569158
+0.0576932
+0.0585422
+0.0594599
+0.0604431
+0.0614887
+0.0625934
+0.0637544
+0.0649685
+0.0662328
+0.0675445
+0.0689009
+0.0702994
+0.0717376
+0.073213
+0.0747236
+0.0762672
+0.0778418
+0.123265
+0.123069
+0.122912
+0.122794
+0.122714
+0.122656
+0.121431
+0.120233
+0.119063
+0.117923
+0.116812
+0.115732
+0.114684
+0.113669
+0.112686
+0.111734
+0.110813
+0.109928
+0.109079
+0.108269
+0.107497
+0.106764
+0.106072
+0.10542
+0.103738
+0.101934
+0.100145
+0.0983729
+0.0966176
+0.0948786
+0.0931572
+0.0914559
+0.0897758
+0.0881182
+0.0864842
+0.0848753
+0.083293
+0.0817388
+0.0802143
+0.0787213
+0.077259
+0.0758261
+0.0744301
+0.0730732
+0.0717575
+0.0704853
+0.069259
+0.0680812
+0.0669544
+0.0658811
+0.0648641
+0.0639061
+0.0630096
+0.0621775
+0.0613109
+0.0602909
+0.0593342
+0.0584441
+0.0576235
+0.0568755
+0.056203
+0.0556087
+0.0550952
+0.0546647
+0.0543192
+0.0540604
+0.0538894
+0.053796
+0.0537863
+0.0538658
+0.054034
+0.0542902
+0.0546331
+0.0546787
+0.0547204
+0.0548497
+0.0550659
+0.055368
+0.0557545
+0.0562239
+0.056774
+0.0574024
+0.0581049
+0.0588666
+0.0596989
+0.0605991
+0.0615641
+0.0625909
+0.0636766
+0.0648181
+0.0660127
+0.0672573
+0.0685494
+0.0698863
+0.0712655
+0.0726846
+0.0741412
+0.0756332
+0.0771586
+0.0787154
+0.124651
+0.124458
+0.124303
+0.124186
+0.124106
+0.124059
+0.123211
+0.12203
+0.120878
+0.119755
+0.118661
+0.117598
+0.116567
+0.115568
+0.114602
+0.113662
+0.112757
+0.111887
+0.111054
+0.110258
+0.1095
+0.108781
+0.108095
+0.106275
+0.104468
+0.102677
+0.100901
+0.0991399
+0.0973953
+0.095669
+0.0939621
+0.0922756
+0.0906107
+0.0889686
+0.0873506
+0.085758
+0.0841923
+0.0826549
+0.0811476
+0.0796721
+0.0782276
+0.0768128
+0.0754351
+0.0740965
+0.0727993
+0.0715456
+0.0703379
+0.0691784
+0.0680697
+0.0670144
+0.0660148
+0.0650737
+0.0641936
+0.063377
+0.0625122
+0.0615121
+0.0605748
+0.0597031
+0.0589001
+0.0581685
+0.0575112
+0.0569305
+0.0564291
+0.0560088
+0.0556717
+0.0554191
+0.0552524
+0.0551609
+0.0551514
+0.0552289
+0.0553931
+0.055643
+0.0559776
+0.0559912
+0.056032
+0.0561582
+0.0563694
+0.0566645
+0.0570423
+0.0575012
+0.0580391
+0.058654
+0.0593435
+0.0600969
+0.0609125
+0.061795
+0.0627416
+0.0637495
+0.0648157
+0.0659375
+0.0671121
+0.0683368
+0.0696089
+0.0709258
+0.0722851
+0.0736846
+0.0751218
+0.0765947
+0.0781013
+0.0796397
+0.12606
+0.125869
+0.125716
+0.1256
+0.125521
+0.125475
+0.125004
+0.12384
+0.122705
+0.121599
+0.120522
+0.119476
+0.118461
+0.117478
+0.116524
+0.1156
+0.11471
+0.113855
+0.113036
+0.112254
+0.11151
+0.110662
+0.10884
+0.107032
+0.105238
+0.103458
+0.101693
+0.0999446
+0.0982143
+0.0965026
+0.0948107
+0.0931396
+0.0914905
+0.0898644
+0.0882628
+0.086687
+0.0851383
+0.0836184
+0.0821288
+0.0806712
+0.0792449
+0.0778486
+0.0764895
+0.0751698
+0.0738914
+0.0726566
+0.0714676
+0.0703268
+0.0692365
+0.0681992
+0.0672173
+0.0662932
+0.0654295
+0.0646285
+0.0637662
+0.0627861
+0.0618681
+0.0610149
+0.0602294
+0.0595141
+0.0588718
+0.0583047
+0.0578151
+0.0574051
+0.0570762
+0.0568299
+0.0566673
+0.0565777
+0.0565685
+0.0566441
+0.0568041
+0.0570478
+0.0573743
+0.0573559
+0.0573957
+0.057519
+0.0577252
+0.0580134
+0.0583825
+0.0588309
+0.0593568
+0.0599582
+0.0606328
+0.0613782
+0.0621795
+0.0630443
+0.0639724
+0.0649612
+0.0660079
+0.0671098
+0.0682642
+0.0694686
+0.0707203
+0.0720169
+0.073356
+0.0747354
+0.0761528
+0.0776062
+0.0790935
+0.0806129
+0.111094
+0.109886
+0.108708
+0.107561
+0.106356
+0.105142
+0.103961
+0.102812
+0.101691
+0.100586
+0.0994872
+0.0984248
+0.097393
+0.0963975
+0.0954394
+0.094437
+0.0934743
+0.0925006
+0.0915671
+0.0906716
+0.0898207
+0.0890156
+0.0882575
+0.0875051
+0.0867267
+0.0859971
+0.0852601
+0.0845426
+0.0837243
+0.0827295
+0.0817812
+0.0808591
+0.0799739
+0.0791395
+0.0782449
+0.0770713
+0.0759429
+0.0748616
+0.0738295
+0.0728486
+0.0719211
+0.070951
+0.0700107
+0.0691269
+0.0683019
+0.0675308
+0.066822
+0.0661758
+0.0655845
+0.0650586
+0.0645914
+0.0641845
+0.0638467
+0.0635827
+0.0633793
+0.0626609
+0.0620116
+0.0614336
+0.0609289
+0.0604994
+0.0601451
+0.059847
+0.0596204
+0.0594306
+0.059145
+0.0589395
+0.0588149
+0.0584189
+0.0580273
+0.0577003
+0.0574064
+0.057195
+0.0570605
+0.0570001
+0.0569895
+0.0570323
+0.0571591
+0.0573571
+0.0576016
+0.0579174
+0.0582756
+0.0586813
+0.0591354
+0.0596652
+0.0600916
+0.0602972
+0.0605813
+0.0609429
+0.0613807
+0.0618929
+0.0624777
+0.0631267
+0.0638362
+0.0646122
+0.0654524
+0.0663543
+0.0673154
+0.0683332
+0.0694053
+0.0705292
+0.109881
+0.108659
+0.107469
+0.106309
+0.105182
+0.103961
+0.102766
+0.101604
+0.100475
+0.0993757
+0.0982727
+0.097197
+0.0961592
+0.0951575
+0.0941893
+0.0932166
+0.0922421
+0.0912846
+0.0903404
+0.0894362
+0.0885734
+0.0877568
+0.0869877
+0.0862537
+0.0854782
+0.0847379
+0.0840272
+0.0832991
+0.0826039
+0.0815954
+0.0806338
+0.0796984
+0.0788002
+0.0777913
+0.0765522
+0.0753565
+0.0742028
+0.0730958
+0.0720383
+0.0710327
+0.0700812
+0.0690632
+0.0680968
+0.0671879
+0.0663385
+0.0655441
+0.0648136
+0.0641495
+0.0635454
+0.0630054
+0.0625236
+0.0621062
+0.0617571
+0.0614841
+0.0612825
+0.0608139
+0.0601839
+0.0595579
+0.0590057
+0.0585304
+0.0581338
+0.0578175
+0.0575829
+0.057431
+0.0573464
+0.0571584
+0.0570181
+0.0565323
+0.0561275
+0.0557966
+0.0554927
+0.0552739
+0.0551398
+0.0550773
+0.0550759
+0.0551202
+0.0552514
+0.0554507
+0.0557036
+0.0560275
+0.0563975
+0.0568105
+0.0572795
+0.0578263
+0.0583077
+0.0585195
+0.0588123
+0.0591847
+0.0596353
+0.0601624
+0.0607639
+0.0614358
+0.0621646
+0.0629612
+0.0638231
+0.0647477
+0.0657323
+0.0667743
+0.067871
+0.0690199
+0.108698
+0.107464
+0.106259
+0.105087
+0.103948
+0.102813
+0.101604
+0.100428
+0.0992872
+0.0981803
+0.0970923
+0.0959979
+0.0948756
+0.0937911
+0.0927457
+0.0917406
+0.0907773
+0.0898521
+0.0889689
+0.0881314
+0.0873408
+0.0865302
+0.0857502
+0.0850194
+0.0842682
+0.0835171
+0.0828172
+0.0820952
+0.0814088
+0.080505
+0.0795303
+0.0785817
+0.0774561
+0.0761486
+0.0748824
+0.0736595
+0.0724823
+0.0713529
+0.0702698
+0.0692385
+0.0682341
+0.0671901
+0.0662
+0.0652647
+0.0643898
+0.0635708
+0.0628173
+0.062132
+0.0615167
+0.0609589
+0.0604644
+0.0600358
+0.0596746
+0.0593921
+0.0591848
+0.0588748
+0.0582434
+0.0576015
+0.0570305
+0.0565385
+0.0561278
+0.0558002
+0.0555571
+0.0553996
+0.0553133
+0.0552953
+0.0551274
+0.0546684
+0.0542497
+0.0539148
+0.0536002
+0.0533737
+0.053235
+0.0531702
+0.0531818
+0.0532296
+0.0533654
+0.0535662
+0.0538276
+0.0541602
+0.0545428
+0.0549634
+0.055448
+0.0560126
+0.0565524
+0.0567708
+0.0570725
+0.0574562
+0.0579203
+0.0584628
+0.0590816
+0.0597744
+0.0605261
+0.061344
+0.0622283
+0.0631762
+0.0641849
+0.0652516
+0.0663735
+0.0675479
+0.107548
+0.106299
+0.105082
+0.103896
+0.102744
+0.101625
+0.100443
+0.0991319
+0.0978524
+0.0966056
+0.0953918
+0.0942114
+0.0930676
+0.0919617
+0.0908953
+0.0898695
+0.0888859
+0.0879445
+0.087042
+0.0861857
+0.085377
+0.0846174
+0.0839081
+0.0832504
+0.0826456
+0.0820948
+0.0815991
+0.0809328
+0.0802364
+0.0794601
+0.0784723
+0.0772438
+0.0758694
+0.0745341
+0.07324
+0.0719893
+0.0707842
+0.0696273
+0.0685209
+0.0674675
+0.0664065
+0.0653333
+0.0643168
+0.0633589
+0.062457
+0.0616122
+0.0608345
+0.0601265
+0.0594908
+0.0589226
+0.0584148
+0.0579744
+0.0576002
+0.0573075
+0.0570928
+0.05695
+0.0563047
+0.0556627
+0.0550715
+0.0545619
+0.0541362
+0.0537965
+0.0535443
+0.0533808
+0.0532927
+0.0532741
+0.0532598
+0.0528295
+0.0523962
+0.0520483
+0.0517312
+0.0514965
+0.0513527
+0.0512856
+0.0513031
+0.0513628
+0.0515036
+0.0517058
+0.0519744
+0.0523181
+0.0527125
+0.0531424
+0.0536434
+0.0542269
+0.0548284
+0.0550536
+0.0553647
+0.0557602
+0.0562382
+0.0567968
+0.0574336
+0.058146
+0.0589235
+0.0597633
+0.0606707
+0.0616426
+0.062676
+0.0637679
+0.0649155
+0.0661157
+0.10643
+0.105168
+0.103937
+0.102739
+0.101537
+0.100144
+0.0987808
+0.0974474
+0.0961454
+0.0948762
+0.093641
+0.0924412
+0.0912763
+0.0901485
+0.0890603
+0.0880132
+0.0870086
+0.0860481
+0.0851276
+0.084252
+0.0834246
+0.0826471
+0.0819207
+0.0812469
+0.0806271
+0.0800624
+0.079554
+0.0791031
+0.0787105
+0.0783663
+0.0771403
+0.0757161
+0.0743135
+0.0729497
+0.0716269
+0.0703475
+0.0691139
+0.0679286
+0.066794
+0.065713
+0.0646015
+0.0634978
+0.0624515
+0.0614654
+0.0605418
+0.0596697
+0.0588663
+0.0581344
+0.0574767
+0.0568958
+0.0563758
+0.055922
+0.0555348
+0.0552311
+0.0550083
+0.0548601
+0.0543791
+0.0537422
+0.0531307
+0.0526023
+0.0521606
+0.0518079
+0.051546
+0.0513762
+0.0512861
+0.0512667
+0.0513409
+0.0510185
+0.0505697
+0.0502079
+0.0498884
+0.0496449
+0.0494958
+0.0494262
+0.0494497
+0.0495178
+0.0496685
+0.0498722
+0.0501477
+0.0505038
+0.0509053
+0.0513502
+0.0518686
+0.0524718
+0.0531373
+0.0533712
+0.053692
+0.0540997
+0.0545923
+0.0551676
+0.055823
+0.0565557
+0.0573598
+0.0582222
+0.0591532
+0.0601496
+0.0612082
+0.0623259
+0.0634995
+0.064726
+0.105345
+0.104071
+0.102827
+0.101384
+0.099941
+0.0985259
+0.0971396
+0.0957834
+0.0944584
+0.0931662
+0.091908
+0.0906853
+0.0894995
+0.0883522
+0.0872417
+0.0861725
+0.0851463
+0.0841645
+0.083224
+0.0823284
+0.0814819
+0.0806861
+0.0799423
+0.0792522
+0.078617
+0.078038
+0.0775166
+0.0770539
+0.076651
+0.0762996
+0.0756372
+0.0742017
+0.0727902
+0.0713973
+0.0700453
+0.0687364
+0.0674734
+0.0662587
+0.065095
+0.0639853
+0.062821
+0.0616854
+0.0606079
+0.0595913
+0.0586391
+0.057745
+0.0569145
+0.0561571
+0.055476
+0.0548739
+0.0543479
+0.0538777
+0.0534793
+0.0531638
+0.0529324
+0.0527783
+0.0524731
+0.0518341
+0.05121
+0.0506616
+0.0502028
+0.0498363
+0.0495639
+0.0493873
+0.0492952
+0.049275
+0.0493521
+0.049233
+0.048773
+0.0483941
+0.0480653
+0.0478221
+0.0476673
+0.047595
+0.0476234
+0.0476957
+0.0478526
+0.0480685
+0.048348
+0.0487173
+0.0491292
+0.0495901
+0.0501267
+0.0507506
+0.0514358
+0.0517268
+0.0520578
+0.0524782
+0.0529859
+0.0535784
+0.054253
+0.0550066
+0.055836
+0.0567238
+0.057679
+0.0587004
+0.0597847
+0.0609285
+0.0621285
+0.0633815
+0.104246
+0.102842
+0.101325
+0.0998333
+0.0983679
+0.0969299
+0.0955204
+0.0941409
+0.0927925
+0.0914767
+0.090195
+0.0889487
+0.0877395
+0.0865688
+0.0854365
+0.0843454
+0.0832976
+0.0822948
+0.081334
+0.0804174
+0.0795505
+0.0787352
+0.0779728
+0.0772651
+0.0766135
+0.0760194
+0.0754843
+0.0750094
+0.0745958
+0.07424
+0.073939
+0.0727037
+0.0712718
+0.069878
+0.0684972
+0.0671582
+0.0658648
+0.0646199
+0.0634262
+0.0622867
+0.0610672
+0.0598984
+0.0587881
+0.0577395
+0.0567562
+0.0558399
+0.0549806
+0.0541962
+0.0534901
+0.0528654
+0.0523251
+0.0518454
+0.0514349
+0.0511069
+0.0508661
+0.0507057
+0.0505902
+0.0499454
+0.0493033
+0.048742
+0.0482651
+0.0478837
+0.0476001
+0.0474162
+0.0473219
+0.0473008
+0.0473812
+0.0474292
+0.0469988
+0.0466055
+0.0462739
+0.0460314
+0.0458705
+0.0457953
+0.0458249
+0.0459059
+0.0460673
+0.0462948
+0.0465775
+0.0469607
+0.0473879
+0.0478655
+0.0484212
+0.0490668
+0.0497655
+0.0501242
+0.0504657
+0.0508993
+0.0514225
+0.0520329
+0.0527272
+0.0535023
+0.0543547
+0.0552716
+0.0562515
+0.0572984
+0.0584087
+0.0595789
+0.0608056
+0.0620853
+0.102645
+0.101253
+0.0998218
+0.0983074
+0.0968189
+0.0953575
+0.0939245
+0.0925211
+0.0911488
+0.0898089
+0.088503
+0.0872324
+0.0859967
+0.0847997
+0.0836429
+0.082528
+0.0814568
+0.0804311
+0.0794525
+0.0785209
+0.0776329
+0.0767972
+0.0760154
+0.0752893
+0.0746204
+0.0740104
+0.0734606
+0.0729725
+0.0725473
+0.0721861
+0.0718785
+0.0712368
+0.0697796
+0.0683556
+0.0669728
+0.0656151
+0.0642907
+0.0630147
+0.06179
+0.0606009
+0.0593424
+0.058139
+0.0569944
+0.0559122
+0.0548962
+0.05395
+0.0530667
+0.0522536
+0.0515209
+0.050872
+0.0503102
+0.0498265
+0.0494031
+0.0490615
+0.0488106
+0.0486434
+0.0485746
+0.0480727
+0.0474151
+0.0468408
+0.0463498
+0.0459525
+0.045657
+0.0454652
+0.0453685
+0.0453466
+0.0454304
+0.0456194
+0.0452611
+0.0448525
+0.0445182
+0.0442662
+0.0441093
+0.0440311
+0.0440619
+0.0441522
+0.0443183
+0.0445505
+0.0448441
+0.045242
+0.0456853
+0.0461805
+0.0467562
+0.0474245
+0.0481278
+0.0485676
+0.04892
+0.0493671
+0.0499064
+0.0505351
+0.0512497
+0.0520469
+0.0529227
+0.0538695
+0.0548743
+0.055947
+0.0570836
+0.0582804
+0.0595338
+0.0608403
+0.101067
+0.0996522
+0.0982659
+0.096807
+0.0952951
+0.0938099
+0.0923529
+0.0909252
+0.0895285
+0.0881629
+0.08683
+0.0855325
+0.0842719
+0.08305
+0.0818685
+0.0807292
+0.0796338
+0.0785842
+0.0775824
+0.07663
+0.0757291
+0.0748732
+0.0740711
+0.0733257
+0.0726388
+0.0720119
+0.0714468
+0.0709449
+0.0705074
+0.0701357
+0.069826
+0.0695749
+0.0683192
+0.0668702
+0.0654561
+0.0640856
+0.0627536
+0.0614456
+0.060189
+0.0589364
+0.0576493
+0.0564098
+0.0552293
+0.0541119
+0.0530614
+0.0520819
+0.051175
+0.0503313
+0.0495702
+0.0488955
+0.0483107
+0.0478135
+0.0473852
+0.0470292
+0.0467674
+0.0465929
+0.0465211
+0.0462182
+0.045554
+0.0449559
+0.0444578
+0.0440457
+0.0437373
+0.0435371
+0.0434378
+0.0434149
+0.0435025
+0.0436998
+0.0435642
+0.0431396
+0.0428027
+0.0425405
+0.0423854
+0.0423069
+0.0423389
+0.0424389
+0.0426102
+0.0428471
+0.0431523
+0.0435657
+0.0440258
+0.0445395
+0.0451362
+0.0458281
+0.0465355
+0.0470616
+0.0474251
+0.0478862
+0.048442
+0.0490894
+0.0498248
+0.0506443
+0.051544
+0.0525186
+0.0535499
+0.0546486
+0.0558117
+0.0570352
+0.0583154
+0.0596485
+0.0995118
+0.0980746
+0.0966657
+0.0952863
+0.0937976
+0.0922884
+0.0908069
+0.0893527
+0.0879288
+0.0865368
+0.0851785
+0.0838554
+0.0825692
+0.0813218
+0.0801148
+0.0789501
+0.0778297
+0.0767555
+0.0757294
+0.0747535
+0.0738296
+0.0729599
+0.0721409
+0.0713753
+0.0706694
+0.070025
+0.0694437
+0.0689271
+0.0684762
+0.0680929
+0.0677783
+0.0675234
+0.0668987
+0.0654183
+0.0639785
+0.0625756
+0.0612191
+0.0599119
+0.0586262
+0.0573071
+0.055985
+0.0547136
+0.0534958
+0.0523413
+0.0512546
+0.0502398
+0.0493016
+0.0484319
+0.0476404
+0.0469379
+0.0463285
+0.0458144
+0.0453718
+0.0450075
+0.0447382
+0.0445558
+0.0444806
+0.0443944
+0.0437234
+0.0430999
+0.0425802
+0.0421576
+0.0418352
+0.0416259
+0.0415309
+0.041509
+0.0416005
+0.0418068
+0.0418913
+0.0414716
+0.0411323
+0.0408594
+0.0406996
+0.0406275
+0.0406608
+0.0407676
+0.0409481
+0.0411898
+0.0415072
+0.0419368
+0.0424146
+0.0429476
+0.043566
+0.0442674
+0.0449937
+0.045611
+0.045986
+0.0464613
+0.047034
+0.0477006
+0.048457
+0.0492993
+0.0502231
+0.0512118
+0.0522691
+0.0533941
+0.0545839
+0.0558343
+0.0571414
+0.0585013
+0.0979793
+0.0965193
+0.0950874
+0.0936848
+0.0923128
+0.0907916
+0.0892831
+0.0878034
+0.0863539
+0.0849361
+0.0835518
+0.0822025
+0.0808901
+0.0796163
+0.078383
+0.0771922
+0.0760459
+0.0749461
+0.0738949
+0.0728945
+0.0719468
+0.071054
+0.0702183
+0.0694369
+0.0687106
+0.0680471
+0.0674482
+0.0669158
+0.0664513
+0.0660562
+0.0657319
+0.0654792
+0.0652867
+0.0640084
+0.0625362
+0.0611069
+0.059717
+0.0583762
+0.057088
+0.0557163
+0.0543555
+0.0530504
+0.0517969
+0.0506037
+0.0494788
+0.0484268
+0.0474528
+0.046558
+0.0457341
+0.0450019
+0.0443659
+0.0438302
+0.0433756
+0.0429984
+0.0427181
+0.0425339
+0.0424551
+0.0424893
+0.0419274
+0.0412768
+0.0407338
+0.0402967
+0.0399593
+0.0397401
+0.0396408
+0.0396325
+0.0397284
+0.0399443
+0.0402182
+0.0398543
+0.0395113
+0.0392287
+0.039064
+0.0389951
+0.0390298
+0.0391448
+0.0393378
+0.0395844
+0.0399145
+0.0403611
+0.0408532
+0.0414104
+0.0420515
+0.0427574
+0.0434992
+0.044174
+0.0446081
+0.045098
+0.0456878
+0.0463736
+0.0471514
+0.0480166
+0.0489557
+0.0499669
+0.0510499
+0.0522012
+0.0534176
+0.0546947
+0.0560284
+0.0574147
+0.096472
+0.0949888
+0.0935334
+0.0921071
+0.0907113
+0.089321
+0.0877872
+0.0862818
+0.0848063
+0.0833623
+0.0819513
+0.0805752
+0.0792358
+0.077935
+0.0766747
+0.075457
+0.0742839
+0.0731577
+0.0720804
+0.0710543
+0.0700818
+0.0691649
+0.0683061
+0.0675074
+0.0667647
+0.0660816
+0.0654648
+0.0649161
+0.0644372
+0.0640297
+0.063695
+0.0634342
+0.0632479
+0.0626434
+0.0611384
+0.0596759
+0.0582586
+0.0568834
+0.0555606
+0.0541674
+0.0527667
+0.0514212
+0.0501354
+0.0489024
+0.0477374
+0.0466463
+0.0456343
+0.0447068
+0.0438545
+0.0430903
+0.0424256
+0.0418651
+0.0413991
+0.0410079
+0.0407139
+0.0405295
+0.0404469
+0.0404828
+0.0401706
+0.039491
+0.0389231
+0.0384705
+0.038117
+0.0378871
+0.037783
+0.0377822
+0.0378904
+0.0381152
+0.0384412
+0.0382941
+0.037937
+0.0376548
+0.0374848
+0.0374138
+0.03745
+0.0375798
+0.0377816
+0.0380286
+0.0383722
+0.0388364
+0.0393475
+0.0399342
+0.0405857
+0.0413085
+0.0420641
+0.0427547
+0.0432972
+0.0438018
+0.0444088
+0.0451141
+0.0459132
+0.046796
+0.0477525
+0.0487886
+0.0498972
+0.0510745
+0.0523171
+0.0536204
+0.0549802
+0.0563923
+0.094985
+0.0934845
+0.0920053
+0.090555
+0.0891349
+0.0877466
+0.086321
+0.0847896
+0.0832876
+0.0818167
+0.0803787
+0.0789752
+0.0776082
+0.0762796
+0.0749915
+0.073746
+0.0725453
+0.0713916
+0.0702873
+0.0692346
+0.0682361
+0.0672942
+0.0664111
+0.0655894
+0.0648313
+0.0641308
+0.063495
+0.0629291
+0.062435
+0.0620143
+0.0616687
+0.0613993
+0.0612072
+0.0610903
+0.0597882
+0.0582918
+0.0568404
+0.055437
+0.0540788
+0.052664
+0.0512223
+0.0498351
+0.0485073
+0.0472415
+0.0460345
+0.044902
+0.0438497
+0.0428837
+0.0420049
+0.0412065
+0.0405109
+0.0399235
+0.0394405
+0.0390388
+0.0387299
+0.0385432
+0.0384585
+0.0384963
+0.0384348
+0.037748
+0.0371534
+0.0366802
+0.0363134
+0.036072
+0.0359626
+0.0359625
+0.0360918
+0.036324
+0.0366658
+0.0367857
+0.0364264
+0.0361452
+0.035968
+0.0358967
+0.0359344
+0.03608
+0.0362901
+0.0365369
+0.0368943
+0.037377
+0.0379086
+0.0385138
+0.0391774
+0.0399272
+0.040691
+0.0414027
+0.0420597
+0.0425789
+0.0432031
+0.0439278
+0.0447467
+0.045641
+0.0466212
+0.0476819
+0.0488157
+0.0500184
+0.0512866
+0.0526155
+0.0540005
+0.0554376
+0.0935241
+0.0920014
+0.0905045
+0.0890298
+0.0875849
+0.0861716
+0.0847913
+0.0833282
+0.0817994
+0.0803013
+0.0788356
+0.0774041
+0.0760089
+0.0746519
+0.0733352
+0.072061
+0.0708317
+0.0696497
+0.0685173
+0.067437
+0.0664115
+0.0654433
+0.0645349
+0.063689
+0.062908
+0.0621944
+0.0615401
+0.0609561
+0.0604458
+0.0600112
+0.059654
+0.0593755
+0.0591768
+0.0590588
+0.05847
+0.0569583
+0.0554721
+0.0540338
+0.0526465
+0.0512091
+0.0497264
+0.0482964
+0.046925
+0.0456177
+0.0443744
+0.0431984
+0.0421036
+0.0410965
+0.0401837
+0.0393544
+0.0386255
+0.038009
+0.0375071
+0.0370917
+0.0367694
+0.0365727
+0.0364934
+0.0365332
+0.0367039
+0.0360538
+0.0354308
+0.0349343
+0.0345546
+0.0343008
+0.0341858
+0.0341863
+0.0343244
+0.0345788
+0.0349377
+0.0352566
+0.0349878
+0.034707
+0.0345224
+0.0344521
+0.0344914
+0.0346538
+0.0348724
+0.0351185
+0.0354902
+0.0359917
+0.0365445
+0.0371562
+0.0378436
+0.038614
+0.0393849
+0.0401247
+0.0408956
+0.0414294
+0.0420706
+0.0428145
+0.0436476
+0.0445639
+0.0455672
+0.0466519
+0.0478101
+0.0490375
+0.0503304
+0.0516839
+0.0530932
+0.0545542
+0.0920922
+0.0905454
+0.0890256
+0.0875328
+0.0860628
+0.084624
+0.0832181
+0.0818466
+0.0803434
+0.0788176
+0.0773238
+0.0758638
+0.0744397
+0.0730535
+0.0717075
+0.0704039
+0.0691451
+0.0679337
+0.0667722
+0.0656633
+0.0646096
+0.063614
+0.0626791
+0.0618077
+0.0610027
+0.0602665
+0.0596017
+0.0589984
+0.0584711
+0.0580217
+0.0576521
+0.0573639
+0.0571582
+0.057036
+0.0569978
+0.0556123
+0.054119
+0.0526744
+0.0512608
+0.0498024
+0.0482821
+0.0468095
+0.0453933
+0.0440405
+0.0427572
+0.0415405
+0.0404008
+0.0393501
+0.0383958
+0.0375389
+0.036774
+0.0361259
+0.0356011
+0.0351714
+0.0348364
+0.0346287
+0.0345553
+0.0345974
+0.0347776
+0.0344157
+0.0337625
+0.033241
+0.0328477
+0.0325806
+0.0324595
+0.0324608
+0.0326063
+0.0328869
+0.0332641
+0.0337678
+0.0336305
+0.0333383
+0.0331461
+0.0330895
+0.0331304
+0.0333107
+0.0335344
+0.0337827
+0.034169
+0.0346896
+0.0352548
+0.0358811
+0.0365925
+0.0373771
+0.0381599
+0.0389231
+0.0397212
+0.0403587
+0.0410167
+0.0417793
+0.0426326
+0.0435703
+0.044596
+0.0457037
+0.0468854
+0.0481364
+0.0494529
+0.0508297
+0.0522621
+0.0537456
+0.0906906
+0.0891195
+0.087575
+0.0860585
+0.08457
+0.0831054
+0.0816733
+0.0802755
+0.0789137
+0.0773674
+0.0758451
+0.0743561
+0.0729025
+0.0714865
+0.0701104
+0.0687766
+0.0674875
+0.0662457
+0.0650541
+0.0639154
+0.0628324
+0.0618081
+0.0608455
+0.0599476
+0.0591171
+0.0583572
+0.0576705
+0.0570573
+0.0565118
+0.0560468
+0.0556641
+0.0553655
+0.0551524
+0.0550257
+0.0549861
+0.0543119
+0.0527818
+0.0512996
+0.0498696
+0.048454
+0.04689
+0.0453778
+0.0439175
+0.0425178
+0.0411871
+0.0399323
+0.038747
+0.0376502
+0.0366517
+0.0357596
+0.0349617
+0.0342794
+0.0337258
+0.0332846
+0.0329356
+0.0327158
+0.0326419
+0.0326938
+0.0328845
+0.032842
+0.0321569
+0.031609
+0.0312013
+0.03092
+0.0307924
+0.0307946
+0.0309478
+0.0312543
+0.0316536
+0.0321735
+0.0323059
+0.0320609
+0.031861
+0.0318074
+0.0318619
+0.0320545
+0.0322662
+0.0325326
+0.0329336
+0.0334729
+0.034054
+0.0346976
+0.0354327
+0.036229
+0.037024
+0.0378096
+0.0386233
+0.0393809
+0.040055
+0.0408356
+0.0417082
+0.0426662
+0.0437131
+0.0448426
+0.0460464
+0.0473196
+0.0486582
+0.0500568
+0.0515107
+0.0530153
+0.0893207
+0.0877251
+0.0861556
+0.0846137
+0.0831009
+0.0816174
+0.0801587
+0.0787339
+0.077345
+0.0759528
+0.0744015
+0.072883
+0.0713995
+0.0699531
+0.0685462
+0.0671813
+0.065861
+0.064588
+0.0633652
+0.0621955
+0.0610821
+0.060028
+0.0590363
+0.0581104
+0.0572534
+0.0564683
+0.0557584
+0.0551264
+0.0545638
+0.054082
+0.0536853
+0.0533756
+0.0531545
+0.0530231
+0.052982
+0.0530314
+0.0515031
+0.049983
+0.0485142
+0.0470473
+0.0455607
+0.0440029
+0.042501
+0.0410555
+0.0396758
+0.0383716
+0.0371489
+0.0360034
+0.0349579
+0.0340214
+0.033195
+0.0324757
+0.0318908
+0.0314312
+0.0310731
+0.03084
+0.0307615
+0.0308245
+0.0310266
+0.0313197
+0.0306239
+0.0300481
+0.0296235
+0.0293291
+0.0291945
+0.0291977
+0.0293593
+0.0296821
+0.0301151
+0.030653
+0.031021
+0.0308616
+0.0306788
+0.030623
+0.0306803
+0.0308802
+0.0310993
+0.0313757
+0.0317912
+0.0323496
+0.0329553
+0.0336153
+0.0343736
+0.0351667
+0.0359859
+0.0367852
+0.037616
+0.0385031
+0.0391923
+0.0399897
+0.0408804
+0.0418573
+0.0429239
+0.0440737
+0.0452979
+0.0465916
+0.0479505
+0.0493692
+0.0508428
+0.0523665
+0.0879841
+0.0863637
+0.084769
+0.0832014
+0.0816626
+0.080154
+0.0786759
+0.0772238
+0.0758072
+0.0744281
+0.0729951
+0.0714468
+0.0699328
+0.0684554
+0.0670171
+0.0656204
+0.064268
+0.0629628
+0.0617078
+0.0605061
+0.059361
+0.0582758
+0.0572538
+0.0562985
+0.0554135
+0.054602
+0.0538675
+0.0532131
+0.0526342
+0.0521346
+0.0517229
+0.0514015
+0.0511719
+0.0510353
+0.0509926
+0.051044
+0.0502874
+0.0487294
+0.0472216
+0.0456928
+0.044178
+0.0426962
+0.0411465
+0.0396574
+0.0382303
+0.036875
+0.0356031
+0.0344173
+0.033322
+0.0323383
+0.0314765
+0.0307223
+0.0301034
+0.029617
+0.029256
+0.0290083
+0.0289249
+0.0289907
+0.0292056
+0.0295815
+0.029175
+0.02857
+0.0281231
+0.0278199
+0.0276779
+0.0276821
+0.0278525
+0.0281923
+0.028644
+0.0292177
+0.0298383
+0.0297698
+0.0296116
+0.0295538
+0.0296132
+0.0298202
+0.0300471
+0.030333
+0.0307627
+0.0313393
+0.031969
+0.0326443
+0.0334246
+0.0342117
+0.035054
+0.0358497
+0.0367002
+0.0376381
+0.0384351
+0.039248
+0.0401551
+0.0411493
+0.0422338
+0.0434019
+0.0446445
+0.0459565
+0.0473337
+0.0487703
+0.0502615
+0.0518023
+0.0866822
+0.085037
+0.083417
+0.0818235
+0.0802582
+0.0787227
+0.0772189
+0.0757469
+0.0743021
+0.0728946
+0.0715264
+0.0700496
+0.0685047
+0.0669959
+0.0655255
+0.0640963
+0.0627111
+0.0613728
+0.0600846
+0.0588498
+0.0576718
+0.0565541
+0.0555005
+0.0545145
+0.0536
+0.0527607
+0.0520001
+0.0513219
+0.0507259
+0.0502072
+0.0497797
+0.0494456
+0.0492068
+0.0490648
+0.0490204
+0.0490738
+0.0491393
+0.0475437
+0.0459971
+0.0444052
+0.0428448
+0.0413303
+0.0398665
+0.0383277
+0.0368549
+0.0354508
+0.0341258
+0.0328934
+0.0317531
+0.0307192
+0.0298106
+0.0290284
+0.0283726
+0.027857
+0.0274899
+0.0272297
+0.0271408
+0.0272097
+0.0274386
+0.0278384
+0.0278233
+0.0271883
+0.0267182
+0.0264063
+0.0262567
+0.026262
+0.0264416
+0.0267924
+0.0272664
+0.0278774
+0.0286164
+0.0287895
+0.0286458
+0.0286125
+0.028674
+0.0288878
+0.0291219
+0.0294168
+0.0298597
+0.03043
+0.031096
+0.0317946
+0.0325774
+0.0333734
+0.0342119
+0.0350248
+0.035895
+0.0368534
+0.03779
+0.0386164
+0.039538
+0.0405474
+0.0416476
+0.0428316
+0.0440903
+0.0454184
+0.0468113
+0.0482636
+0.0497699
+0.0513255
+0.0854166
+0.0837466
+0.0821011
+0.0804816
+0.0788897
+0.077327
+0.0757955
+0.074297
+0.072831
+0.0713945
+0.069997
+0.0686411
+0.0671178
+0.0655771
+0.0640742
+0.0626119
+0.061193
+0.0598208
+0.0584984
+0.0572294
+0.0560173
+0.054866
+0.0537792
+0.0527611
+0.0518157
+0.050947
+0.0501589
+0.0494554
+0.0488398
+0.0483013
+0.0478568
+0.0475091
+0.0472606
+0.0471127
+0.0470665
+0.0471221
+0.0472793
+0.0464264
+0.0448291
+0.0431885
+0.0415844
+0.0400223
+0.0385198
+0.0370799
+0.0355554
+0.0341036
+0.0327285
+0.0314414
+0.0302493
+0.0291621
+0.0282034
+0.0273867
+0.0267053
+0.0261621
+0.0257709
+0.0255153
+0.0254204
+0.0254927
+0.0257368
+0.0261627
+0.0265837
+0.0259183
+0.0254248
+0.0251045
+0.0249471
+0.0249537
+0.0251426
+0.0255031
+0.0260006
+0.0266407
+0.0274131
+0.0278567
+0.0278133
+0.027779
+0.0278756
+0.0280777
+0.0283362
+0.0286357
+0.0290687
+0.0296476
+0.0303306
+0.0310486
+0.0318493
+0.0326433
+0.0334902
+0.0343203
+0.0352078
+0.0361844
+0.037219
+0.0381006
+0.0390344
+0.0400564
+0.0411697
+0.0423671
+0.0436392
+0.0449806
+0.0463867
+0.0478518
+0.0493707
+0.0509385
+0.0841846
+0.082492
+0.0808232
+0.0791776
+0.0775589
+0.0759689
+0.0744094
+0.0728824
+0.0713899
+0.069925
+0.0684976
+0.0671113
+0.0657689
+0.0642017
+0.0626658
+0.0611698
+0.0597167
+0.0583098
+0.0569523
+0.0556481
+0.0544008
+0.0532144
+0.0520933
+0.0510415
+0.0500636
+0.049164
+0.0483469
+0.0476166
+0.0469769
+0.0464168
+0.045954
+0.0455919
+0.0453328
+0.0451787
+0.0451304
+0.0451885
+0.0453524
+0.0453718
+0.0437148
+0.0420309
+0.0403934
+0.038794
+0.0372419
+0.0357568
+0.0343426
+0.0328414
+0.031417
+0.030079
+0.0288306
+0.0276877
+0.0266761
+0.0258112
+0.0250917
+0.0245275
+0.0241284
+0.0238789
+0.0237775
+0.0238534
+0.0241141
+0.0245681
+0.0251893
+0.0247772
+0.0242605
+0.0239255
+0.0237603
+0.0237756
+0.0239737
+0.0243431
+0.0248637
+0.0255324
+0.0263372
+0.027068
+0.0271248
+0.0270974
+0.0272098
+0.0274035
+0.0276758
+0.027975
+0.0284181
+0.0290099
+0.0297074
+0.0304403
+0.0312444
+0.0320363
+0.0328989
+0.0337434
+0.0346457
+0.0356377
+0.0366878
+0.0377051
+0.0386485
+0.0396804
+0.040804
+0.0420118
+0.0432944
+0.0446461
+0.0460624
+0.0475375
+0.0490661
+0.0506434
+0.0829854
+0.0812679
+0.0795736
+0.077904
+0.0762609
+0.0746458
+0.0730608
+0.071507
+0.0699852
+0.068494
+0.0670361
+0.065619
+0.0642453
+0.0628652
+0.0612998
+0.0597725
+0.0582854
+0.056843
+0.0554497
+0.0541092
+0.0528256
+0.0516031
+0.0504461
+0.0493593
+0.0483474
+0.0474151
+0.0465674
+0.0458088
+0.0451434
+0.0445603
+0.044078
+0.0437004
+0.04343
+0.0432691
+0.0432187
+0.0432793
+0.0434504
+0.043703
+0.0426838
+0.0409576
+0.0392776
+0.0376359
+0.036049
+0.0345157
+0.0330533
+0.0316659
+0.0302014
+0.0288131
+0.0275134
+0.0263134
+0.0252467
+0.024331
+0.0235664
+0.0229714
+0.022566
+0.0223377
+0.0222293
+0.022309
+0.0225875
+0.0230716
+0.0237159
+0.0237836
+0.0232448
+0.0228955
+0.0227228
+0.0227414
+0.0229485
+0.0233315
+0.0238742
+0.0245698
+0.0254052
+0.0263722
+0.0265889
+0.0265685
+0.0266891
+0.026884
+0.0271565
+0.0274735
+0.0279246
+0.0285267
+0.0292354
+0.0299801
+0.030766
+0.0315699
+0.032445
+0.033301
+0.0342068
+0.0352142
+0.0362813
+0.0373595
+0.0383837
+0.0394228
+0.0405535
+0.0417686
+0.0430584
+0.0444173
+0.0458407
+0.0473227
+0.048858
+0.0504418
+0.0818274
+0.080085
+0.0783651
+0.0766693
+0.0749991
+0.0733563
+0.0717427
+0.0701605
+0.0686117
+0.0670987
+0.0656152
+0.0641667
+0.0627612
+0.0614018
+0.0599727
+0.0584124
+0.0568924
+0.0554173
+0.0539908
+0.052616
+0.0512956
+0.0500358
+0.0488417
+0.0477183
+0.0466709
+0.0457044
+0.0448243
+0.0440357
+0.0433432
+0.0427355
+0.0422324
+0.041838
+0.0415556
+0.0413873
+0.0413347
+0.041398
+0.0415769
+0.0417874
+0.0415721
+0.0399756
+0.0382526
+0.0365705
+0.0349353
+0.0333638
+0.0318576
+0.0304157
+0.0290641
+0.0276551
+0.0263129
+0.0250554
+0.0239328
+0.0229647
+0.022153
+0.021526
+0.0210928
+0.0208817
+0.0207801
+0.0208804
+0.0211778
+0.0216826
+0.0223603
+0.0229567
+0.022398
+0.0220358
+0.0218563
+0.0218756
+0.0220908
+0.0224884
+0.023051
+0.0237707
+0.0246332
+0.0256294
+0.0261229
+0.026207
+0.0263292
+0.0265082
+0.0267845
+0.0271278
+0.0275966
+0.0282057
+0.0289117
+0.0296749
+0.0304382
+0.0312505
+0.0321331
+0.032995
+0.0338984
+0.0349147
+0.0360035
+0.03709
+0.0382187
+0.0392811
+0.0404204
+0.0416393
+0.042933
+0.0442958
+0.0457229
+0.0472087
+0.0487476
+0.0503276
+0.0807122
+0.0789452
+0.0771999
+0.0754779
+0.0737807
+0.0721102
+0.0704681
+0.0688566
+0.0672778
+0.0657342
+0.0642269
+0.0627558
+0.0613195
+0.0599274
+0.0585841
+0.0571018
+0.0555478
+0.054036
+0.052572
+0.05116
+0.0498043
+0.0485097
+0.0472813
+0.0461227
+0.0450385
+0.0440363
+0.0431221
+0.0423018
+0.0415769
+0.0409425
+0.0404171
+0.0400048
+0.0397094
+0.0395333
+0.0394781
+0.0395445
+0.0397316
+0.0399
+0.0396745
+0.0390813
+0.0373239
+0.0356025
+0.0339244
+0.0323049
+0.030755
+0.0292763
+0.0278695
+0.026569
+0.025211
+0.0239247
+0.0227463
+0.0217254
+0.0208743
+0.0202096
+0.0197532
+0.0195275
+0.0194589
+0.019581
+0.0199009
+0.0204273
+0.0211453
+0.0220323
+0.0217398
+0.0213669
+0.0211818
+0.0212017
+0.0214237
+0.0218334
+0.0224125
+0.023152
+0.0240367
+0.0250486
+0.0256118
+0.0255133
+0.0255925
+0.0258319
+0.0262524
+0.0268457
+0.0274402
+0.0280282
+0.0287304
+0.0295295
+0.0302658
+0.0310826
+0.0319413
+0.0328084
+0.0337297
+0.0347498
+0.035832
+0.0369486
+0.0380986
+0.0392424
+0.0403964
+0.0416166
+0.04291
+0.0442735
+0.0457013
+0.0471877
+0.0487255
+0.0502974
+0.0796417
+0.0778504
+0.07608
+0.074332
+0.0726081
+0.0709099
+0.0692394
+0.0675986
+0.0659897
+0.0644152
+0.0628763
+0.0613729
+0.0599119
+0.0584965
+0.057121
+0.0557962
+0.0542559
+0.0527096
+0.0512077
+0.049757
+0.048362
+0.0470277
+0.0457595
+0.0445629
+0.0434438
+0.0424085
+0.0414631
+0.0406119
+0.0398487
+0.0391864
+0.038637
+0.0382056
+0.0378961
+0.0377116
+0.0376537
+0.0377233
+0.0379195
+0.0380452
+0.0378087
+0.0376981
+0.0364717
+0.0347323
+0.0330241
+0.0313581
+0.0297589
+0.0282393
+0.0268009
+0.0254459
+0.0242135
+0.0229255
+0.021707
+0.0206348
+0.0197483
+0.0190527
+0.0185737
+0.0183336
+0.0183027
+0.018435
+0.0187745
+0.0193372
+0.0200942
+0.0210204
+0.0212647
+0.0209072
+0.020718
+0.0207383
+0.0209652
+0.0213838
+0.0219747
+0.0227285
+0.0236214
+0.02462
+0.0247841
+0.0246824
+0.0247642
+0.0250115
+0.0254456
+0.0260573
+0.0268204
+0.027716
+0.0287155
+0.0295273
+0.0302362
+0.0310593
+0.0318986
+0.0327669
+0.0336948
+0.0347106
+0.0357939
+0.0369368
+0.038086
+0.0392723
+0.0404775
+0.0416953
+0.0429863
+0.0443475
+0.045773
+0.0472572
+0.0487927
+0.0503626
+0.0786176
+0.0768025
+0.0750074
+0.0732338
+0.0714834
+0.0697578
+0.068059
+0.066389
+0.0647501
+0.0631447
+0.061574
+0.0600381
+0.0585438
+0.0570945
+0.0556936
+0.054345
+0.0530221
+0.0514391
+0.0499021
+0.0484124
+0.0469775
+0.0456028
+0.0442938
+0.0430564
+0.0418972
+0.0408227
+0.0398398
+0.0389554
+0.038168
+0.037476
+0.0369012
+0.0364493
+0.0361247
+0.0359311
+0.0358704
+0.0359434
+0.0361492
+0.0362154
+0.0359794
+0.0358633
+0.0356895
+0.033939
+0.032219
+0.0305275
+0.0288949
+0.0273273
+0.0258504
+0.0244678
+0.0231835
+0.0220426
+0.0208469
+0.0197281
+0.0187988
+0.0180882
+0.0175829
+0.017329
+0.0172964
+0.0174641
+0.0178469
+0.018436
+0.0192284
+0.0201963
+0.020988
+0.0206278
+0.0204793
+0.0204999
+0.0207294
+0.0211526
+0.0217498
+0.0225079
+0.0233726
+0.0242161
+0.0241275
+0.024023
+0.0241071
+0.024361
+0.0248065
+0.025419
+0.0261795
+0.0270963
+0.0281541
+0.0293375
+0.0303497
+0.0311698
+0.0320062
+0.0328716
+0.0337949
+0.0348095
+0.0358898
+0.0370364
+0.0381782
+0.0393832
+0.040626
+0.0418886
+0.0431738
+0.0445292
+0.0459492
+0.0474278
+0.048958
+0.0505227
+0.0776419
+0.0758034
+0.073984
+0.0721853
+0.0704088
+0.0686563
+0.0669295
+0.0652306
+0.0635619
+0.0619256
+0.0603232
+0.0587546
+0.0572268
+0.0557433
+0.0543076
+0.0529237
+0.0515957
+0.0502317
+0.0486566
+0.0471307
+0.0456563
+0.0442405
+0.0428899
+0.0416109
+0.0404102
+0.039295
+0.0382729
+0.0373514
+0.0365382
+0.035818
+0.0352162
+0.0347423
+0.0344017
+0.0341983
+0.0341345
+0.0342112
+0.0344274
+0.0344222
+0.0341877
+0.0340704
+0.0340887
+0.03322
+0.0314881
+0.0298129
+0.0281505
+0.0265614
+0.0250433
+0.0236269
+0.0223216
+0.0211342
+0.020116
+0.0190274
+0.0180622
+0.0173217
+0.0168137
+0.016548
+0.0165209
+0.0166996
+0.0171236
+0.0177104
+0.0185339
+0.0195461
+0.0201322
+0.0205769
+0.0204302
+0.0204941
+0.0207237
+0.021147
+0.0217443
+0.0224613
+0.0233278
+0.0238247
+0.0236563
+0.0235476
+0.0236067
+0.023866
+0.0243206
+0.024935
+0.0257099
+0.0266429
+0.0277179
+0.0289192
+0.0302147
+0.0314329
+0.0322626
+0.0331213
+0.034036
+0.0350454
+0.0361185
+0.0372499
+0.0383935
+0.0396152
+0.0408509
+0.0421642
+0.0434711
+0.0448175
+0.0462286
+0.0476985
+0.0492203
+0.0507769
+0.0767163
+0.0748551
+0.0730121
+0.0711888
+0.0693868
+0.0676078
+0.0658536
+0.0641262
+0.0624279
+0.0607611
+0.0591272
+0.0575259
+0.0559646
+0.0544467
+0.0529759
+0.0515562
+0.0501921
+0.0488881
+0.0474795
+0.0459145
+0.0444024
+0.042946
+0.0415533
+0.0402318
+0.0389887
+0.0378317
+0.0367689
+0.0358087
+0.0349596
+0.0342124
+0.0335818
+0.0330845
+0.0327266
+0.0325127
+0.0324457
+0.0325263
+0.0327537
+0.0326745
+0.0324274
+0.0323096
+0.032329
+0.0324852
+0.0308641
+0.0291568
+0.0275181
+0.0259263
+0.0243891
+0.0229476
+0.021616
+0.0204167
+0.0193607
+0.018505
+0.017543
+0.0167796
+0.0162547
+0.0159797
+0.0160014
+0.0161849
+0.0166053
+0.0172042
+0.0179912
+0.0186726
+0.0192751
+0.0199177
+0.020613
+0.0206997
+0.020944
+0.0213672
+0.0219333
+0.0226278
+0.0234544
+0.023615
+0.0233457
+0.0232336
+0.0232918
+0.0235545
+0.024015
+0.0246371
+0.025421
+0.0263642
+0.0274502
+0.0286627
+0.0299693
+0.0313698
+0.0326641
+0.0335126
+0.0344151
+0.0354154
+0.0364776
+0.037585
+0.0387317
+0.0399453
+0.0411912
+0.0424941
+0.0438493
+0.0451897
+0.0465895
+0.0480484
+0.0495612
+0.0511228
+0.0758428
+0.0739595
+0.0720937
+0.0702466
+0.0684198
+0.0666149
+0.0648338
+0.0630785
+0.0613512
+0.0596544
+0.0579893
+0.0563557
+0.054761
+0.0532088
+0.0517027
+0.0502471
+0.0488464
+0.0475055
+0.0462295
+0.0447725
+0.0432205
+0.0417228
+0.0402879
+0.0389235
+0.0376371
+0.0364372
+0.0353325
+0.0343322
+0.0334456
+0.0326638
+0.0320027
+0.0314805
+0.0311041
+0.030879
+0.0308084
+0.0308933
+0.0311326
+0.0309832
+0.0307224
+0.0306044
+0.0306249
+0.0308015
+0.030372
+0.0286478
+0.0269803
+0.0253901
+0.0238944
+0.0224245
+0.0210599
+0.0198438
+0.0187871
+0.017904
+0.0172552
+0.016501
+0.0159789
+0.0156992
+0.0156986
+0.0158496
+0.0162455
+0.0167466
+0.017479
+0.0179742
+0.018637
+0.019305
+0.0200483
+0.0209686
+0.0213522
+0.0217744
+0.0222567
+0.0227485
+0.0234232
+0.0235053
+0.0232347
+0.023122
+0.0231805
+0.0234445
+0.0239071
+0.0245319
+0.0253191
+0.0262659
+0.0273558
+0.0285667
+0.0298704
+0.0312734
+0.0327629
+0.0340406
+0.0349276
+0.0359141
+0.0369566
+0.0380435
+0.0391896
+0.0403894
+0.0416421
+0.0429304
+0.0442753
+0.0456549
+0.0470497
+0.0484948
+0.0499941
+0.0515425
+0.075023
+0.0731187
+0.0712308
+0.0693607
+0.0675099
+0.0656801
+0.0638729
+0.0620905
+0.0603349
+0.0586086
+0.0569129
+0.0552475
+0.0536199
+0.0520336
+0.0504926
+0.049001
+0.0475637
+0.0461855
+0.044872
+0.043629
+0.0421194
+0.0405811
+0.0391043
+0.0376971
+0.0363674
+0.0351241
+0.0339768
+0.0329353
+0.0320101
+0.0311922
+0.0304993
+0.0299509
+0.0295551
+0.029318
+0.0292436
+0.0293331
+0.029585
+0.029358
+0.0290827
+0.0289646
+0.0289862
+0.0291728
+0.0295117
+0.0282482
+0.0265689
+0.0249668
+0.0234431
+0.0220267
+0.0207215
+0.0194844
+0.0184254
+0.0175576
+0.0168957
+0.0164664
+0.0159542
+0.0157218
+0.0156299
+0.0157081
+0.0159795
+0.0164888
+0.0170476
+0.0175236
+0.0182029
+0.0189276
+0.0196837
+0.0205836
+0.0215464
+0.0218333
+0.0223143
+0.0229028
+0.0235657
+0.0235992
+0.0233297
+0.0232175
+0.0232758
+0.0235387
+0.0239995
+0.0246219
+0.0254064
+0.0263501
+0.0274232
+0.0286116
+0.0299134
+0.0313144
+0.0328021
+0.0343651
+0.0355452
+0.0365135
+0.0375394
+0.038621
+0.0397622
+0.0409461
+0.0421821
+0.0434544
+0.0447966
+0.0461854
+0.0475924
+0.0490344
+0.0505183
+0.0520512
+0.0742589
+0.0723344
+0.0704255
+0.0685335
+0.0666597
+0.0648058
+0.0629736
+0.0611649
+0.059382
+0.0576272
+0.0559018
+0.0542053
+0.0525454
+0.0509257
+0.0493501
+0.0478229
+0.046349
+0.0449336
+0.0435823
+0.0423015
+0.0410975
+0.0395218
+0.0380039
+0.0365545
+0.0351818
+0.0338952
+0.0327048
+0.0316216
+0.0306569
+0.0298077
+0.0290818
+0.0285061
+0.02809
+0.0278405
+0.0277621
+0.0278563
+0.0281214
+0.0278105
+0.0275197
+0.0274008
+0.0274248
+0.0276219
+0.0279896
+0.0279285
+0.0262368
+0.0246131
+0.0230832
+0.0216574
+0.0203626
+0.0192101
+0.0182372
+0.0174416
+0.016816
+0.0164186
+0.016191
+0.0158645
+0.0156522
+0.0156817
+0.0159596
+0.0164865
+0.016859
+0.0173401
+0.0180263
+0.018798
+0.0195234
+0.0204277
+0.0214083
+0.0221102
+0.0225492
+0.0230866
+0.0236617
+0.0237828
+0.0236267
+0.0235001
+0.0235576
+0.0238174
+0.0242706
+0.0248738
+0.0256506
+0.0265856
+0.0276442
+0.0288234
+0.030116
+0.0315081
+0.032987
+0.0345416
+0.0361573
+0.0372323
+0.0382389
+0.0393085
+0.040434
+0.041607
+0.0428275
+0.0440812
+0.0454061
+0.0467839
+0.0482145
+0.0496444
+0.0511255
+0.0526411
+0.073552
+0.0716086
+0.0696798
+0.0677669
+0.0658714
+0.0639947
+0.0621385
+0.0603049
+0.0584957
+0.0567135
+0.0549594
+0.0532329
+0.0515417
+0.0498894
+0.0482799
+0.0467178
+0.0452079
+0.0437556
+0.0423668
+0.041048
+0.0398061
+0.0385427
+0.0369847
+0.0354936
+0.0340782
+0.0327483
+0.0315147
+0.0303891
+0.029384
+0.028512
+0.0277593
+0.0271556
+0.0267184
+0.0264559
+0.0263735
+0.0264727
+0.0267493
+0.0263543
+0.0260473
+0.0259223
+0.0259544
+0.0261626
+0.0265505
+0.0270967
+0.0259769
+0.0243843
+0.022886
+0.0214569
+0.020165
+0.0190128
+0.0180293
+0.0172648
+0.0167043
+0.0162852
+0.0160666
+0.015987
+0.0159298
+0.0159589
+0.0162321
+0.0166144
+0.0169079
+0.0174322
+0.0181148
+0.0188831
+0.0196052
+0.0205058
+0.0214829
+0.0223511
+0.0227019
+0.0232516
+0.0237741
+0.023889
+0.0238251
+0.0237583
+0.0238733
+0.0241681
+0.0246548
+0.0253076
+0.0260714
+0.0269918
+0.0280351
+0.0291985
+0.0304752
+0.0318516
+0.0333153
+0.0348553
+0.0364571
+0.0380638
+0.039049
+0.040097
+0.0412086
+0.04236
+0.0435656
+0.0448065
+0.0461105
+0.0474679
+0.0488784
+0.0503334
+0.0517974
+0.0533022
+0.0729042
+0.070943
+0.0689956
+0.0670633
+0.0651472
+0.0632491
+0.0613704
+0.059513
+0.057679
+0.0558708
+0.0540893
+0.0523341
+0.0506129
+0.0489293
+0.0472871
+0.0456911
+0.0441461
+0.0426576
+0.0412319
+0.0398756
+0.038596
+0.0374011
+0.0360699
+0.0345393
+0.0330831
+0.0317115
+0.0304359
+0.0292688
+0.0282238
+0.0273149
+0.0265519
+0.0259201
+0.0254617
+0.0251862
+0.0250995
+0.0252037
+0.0254849
+0.0249987
+0.0246748
+0.0245429
+0.024585
+0.0248047
+0.0252135
+0.0257943
+0.0258359
+0.0242401
+0.0227436
+0.0213561
+0.0200753
+0.0189435
+0.0179623
+0.0171884
+0.0166237
+0.0161649
+0.0159726
+0.0159395
+0.0160319
+0.0162642
+0.016606
+0.016897
+0.0172285
+0.0177528
+0.0184647
+0.0192188
+0.019929
+0.0208156
+0.0217683
+0.0226363
+0.0230627
+0.023604
+0.024071
+0.0241845
+0.0239764
+0.02391
+0.0240243
+0.0243173
+0.024801
+0.0254447
+0.0262521
+0.0272006
+0.0282873
+0.0294969
+0.030815
+0.0322167
+0.0336868
+0.0352318
+0.0368424
+0.0385103
+0.0399628
+0.0409875
+0.0420755
+0.0432039
+0.0443962
+0.0456255
+0.0469067
+0.0482417
+0.0496303
+0.051075
+0.0525495
+0.0540423
+0.072309
+0.0703312
+0.0683664
+0.0664157
+0.0644805
+0.0625621
+0.0606621
+0.0587824
+0.0569249
+0.0550919
+0.0532859
+0.0515098
+0.0497633
+0.0480499
+0.0463767
+0.0447481
+0.0431694
+0.041646
+0.0401844
+0.0387915
+0.037475
+0.0362431
+0.0351049
+0.0337006
+0.0322065
+0.0307959
+0.0294806
+0.0282742
+0.027191
+0.0262463
+0.0254539
+0.0247942
+0.0243145
+0.0240259
+0.023935
+0.0240443
+0.024276
+0.0237443
+0.023403
+0.0232638
+0.0233305
+0.0235712
+0.0240011
+0.0246174
+0.0253741
+0.0242426
+0.0227462
+0.0213589
+0.0201001
+0.0189695
+0.0180351
+0.0172996
+0.0167386
+0.0163399
+0.0161497
+0.0161744
+0.0163114
+0.0166247
+0.017088
+0.0174371
+0.0178146
+0.0183222
+0.0190386
+0.0197927
+0.0204832
+0.0213468
+0.022214
+0.0229646
+0.0236219
+0.0241507
+0.0244402
+0.02456
+0.0243248
+0.0242593
+0.024364
+0.0246461
+0.0251021
+0.0257372
+0.0265357
+0.0274744
+0.0285507
+0.0297496
+0.0310569
+0.0324482
+0.0339083
+0.0354437
+0.0370451
+0.0387042
+0.040414
+0.0419735
+0.0430367
+0.0441404
+0.0453081
+0.0465241
+0.0477902
+0.0491012
+0.0504661
+0.0518876
+0.0533612
+0.0548511
+0.0717738
+0.0697808
+0.0678
+0.0658326
+0.0638797
+0.0619426
+0.0600231
+0.0581227
+0.0562434
+0.0543874
+0.0525572
+0.0507556
+0.0489857
+0.0472511
+0.0455534
+0.0438944
+0.0422837
+0.0407273
+0.0392314
+0.0378034
+0.0364512
+0.0351835
+0.0340099
+0.0329266
+0.0314339
+0.0299868
+0.0286343
+0.0273905
+0.0262707
+0.0252915
+0.0244697
+0.0238092
+0.0233094
+0.0230081
+0.0229132
+0.0230273
+0.02319
+0.0226328
+0.0222744
+0.0221282
+0.0221983
+0.0224727
+0.0229232
+0.0235695
+0.0243535
+0.0244333
+0.0229433
+0.0215659
+0.0203174
+0.0191996
+0.018277
+0.0175805
+0.0170406
+0.0167164
+0.0166081
+0.0166629
+0.0168287
+0.017227
+0.0174511
+0.0179186
+0.018388
+0.019045
+0.0196141
+0.0203924
+0.0211701
+0.0220686
+0.0227602
+0.0234342
+0.0241079
+0.0246089
+0.024751
+0.0250843
+0.0248552
+0.0247538
+0.0248459
+0.0251293
+0.0255868
+0.0262102
+0.0269947
+0.027918
+0.0289778
+0.0301597
+0.0314499
+0.032821
+0.0342686
+0.0357886
+0.0373752
+0.0390203
+0.0407169
+0.0424587
+0.0440858
+0.0451639
+0.0463058
+0.0474962
+0.0487474
+0.0500419
+0.0513818
+0.0527786
+0.054228
+0.0557259
+0.0712993
+0.0692932
+0.0672985
+0.0653163
+0.0633479
+0.0613946
+0.0594578
+0.0575389
+0.0556399
+0.0537631
+0.0519109
+0.050086
+0.0482916
+0.0465311
+0.0448085
+0.0431285
+0.041495
+0.0399077
+0.03838
+0.0369191
+0.0355332
+0.0342316
+0.033024
+0.0319073
+0.0307896
+0.0293107
+0.0279255
+0.0266485
+0.0254962
+0.024486
+0.0236363
+0.0229529
+0.022434
+0.0221208
+0.0220221
+0.0221408
+0.0222671
+0.0216862
+0.021312
+0.0211591
+0.0212324
+0.0215191
+0.0219891
+0.0226621
+0.0234764
+0.0244268
+0.0233206
+0.0219669
+0.0207516
+0.0196719
+0.0187726
+0.0180951
+0.0175982
+0.0173246
+0.0172337
+0.0173402
+0.0175412
+0.0175182
+0.0177362
+0.0181963
+0.0188075
+0.0194503
+0.0200794
+0.0208321
+0.0214897
+0.0222089
+0.0228011
+0.0233365
+0.0240601
+0.0249028
+0.0252198
+0.0255469
+0.0255166
+0.0254178
+0.0255075
+0.0257836
+0.0262404
+0.026854
+0.0276123
+0.0285156
+0.029554
+0.0307137
+0.0319639
+0.0333096
+0.0347414
+0.036249
+0.0378236
+0.0394557
+0.0411343
+0.0428592
+0.0446249
+0.0462686
+0.0473839
+0.0485478
+0.0497725
+0.0510551
+0.0523731
+0.0537442
+0.0551683
+0.0566412
+0.0708891
+0.068871
+0.0668637
+0.0648683
+0.0628859
+0.0609178
+0.0589653
+0.0570302
+0.0551142
+0.0532194
+0.0513481
+0.0495031
+0.0476873
+0.0459043
+0.0441574
+0.0424516
+0.0407922
+0.039185
+0.0376367
+0.036146
+0.0347293
+0.0333963
+0.0321401
+0.0309871
+0.0299501
+0.0287858
+0.027374
+0.0260701
+0.024891
+0.0238552
+0.0229822
+0.022278
+0.021743
+0.0214197
+0.0213178
+0.0214403
+0.0215062
+0.020927
+0.020539
+0.0203803
+0.0204563
+0.0207538
+0.0212408
+0.0219367
+0.022777
+0.0237554
+0.0238936
+0.0225743
+0.0213935
+0.0203481
+0.01948
+0.018828
+0.0183821
+0.0181398
+0.0180857
+0.0180937
+0.018092
+0.0180698
+0.0182811
+0.0187279
+0.0194131
+0.019966
+0.0203536
+0.0209642
+0.0215576
+0.0222746
+0.0226616
+0.0232001
+0.0239279
+0.0248282
+0.0258426
+0.026162
+0.026335
+0.0262473
+0.0263342
+0.0266018
+0.0270447
+0.0276269
+0.028361
+0.0292412
+0.0302547
+0.0313885
+0.0326129
+0.0339328
+0.0353394
+0.0368226
+0.0383736
+0.0399845
+0.0416484
+0.0433591
+0.0451113
+0.0468959
+0.0485369
+0.0496739
+0.0508715
+0.052127
+0.053432
+0.0547805
+0.0561782
+0.0576254
+0.0703402
+0.0683993
+0.0664738
+0.0644916
+0.0624973
+0.0605165
+0.0585507
+0.0566014
+0.0546704
+0.0527596
+0.0508715
+0.0490085
+0.0471737
+0.0453705
+0.0436028
+0.0418751
+0.0401925
+0.038561
+0.0369874
+0.0354793
+0.0340385
+0.0326594
+0.0313728
+0.0301905
+0.0291252
+0.0281901
+0.0269896
+0.0256662
+0.0244676
+0.0234131
+0.0225172
+0.0217967
+0.0212563
+0.0209255
+0.0208211
+0.0209466
+0.0209263
+0.0203489
+0.0199774
+0.0198142
+0.0198924
+0.0201982
+0.0206982
+0.0214118
+0.0222719
+0.0232715
+0.0244151
+0.0233658
+0.0222271
+0.0212297
+0.0203991
+0.0197774
+0.0193535
+0.0191551
+0.0190573
+0.0187357
+0.0186561
+0.0188327
+0.0190603
+0.0194892
+0.0197941
+0.0202231
+0.0206589
+0.0212607
+0.0218461
+0.0223628
+0.0227221
+0.0232702
+0.0239958
+0.0248926
+0.0259416
+0.0268763
+0.027066
+0.0272108
+0.0272946
+0.0275529
+0.0279808
+0.0285439
+0.029255
+0.030109
+0.0310942
+0.0321986
+0.0333932
+0.0346835
+0.0360607
+0.0375154
+0.0390389
+0.0406235
+0.0422622
+0.043949
+0.0456787
+0.0474464
+0.0492481
+0.0508693
+0.0520394
+0.0532674
+0.0545452
+0.0558796
+0.0572543
+0.0586749
+0.0697826
+0.0678257
+0.0658835
+0.0639574
+0.0620488
+0.0601594
+0.0582156
+0.0562547
+0.0543113
+0.0523875
+0.0504854
+0.0486077
+0.0467571
+0.0449372
+0.0431517
+0.0414052
+0.0397028
+0.0380503
+0.0364546
+0.0349235
+0.0334587
+0.0320546
+0.0307427
+0.0295352
+0.0284453
+0.0274872
+0.026675
+0.0254329
+0.0242182
+0.0231386
+0.0222232
+0.0214928
+0.0209661
+0.0206309
+0.020525
+0.0206523
+0.0205645
+0.0199767
+0.0196172
+0.0194628
+0.0195424
+0.0198612
+0.0203695
+0.0210844
+0.0219623
+0.0229871
+0.0241442
+0.0243178
+0.0232257
+0.0222918
+0.0215029
+0.0209141
+0.0205105
+0.0202937
+0.0197628
+0.0194421
+0.0193654
+0.0195356
+0.019619
+0.0198498
+0.0200696
+0.0204928
+0.0211076
+0.0217747
+0.0222803
+0.0226169
+0.0229624
+0.0235068
+0.0242239
+0.0251122
+0.0261543
+0.0273308
+0.027774
+0.0280533
+0.0283919
+0.0286403
+0.0290521
+0.0295949
+0.0302813
+0.0311072
+0.0320617
+0.0331338
+0.034296
+0.0355534
+0.0368982
+0.0383212
+0.0398138
+0.0413687
+0.042979
+0.0446388
+0.0463427
+0.048086
+0.0498647
+0.051675
+0.0532719
+0.0544722
+0.0557223
+0.0570292
+0.058389
+0.0597862
+0.0692899
+0.0673186
+0.0653614
+0.0634193
+0.0614941
+0.0595871
+0.0577003
+0.0558357
+0.0539901
+0.0521049
+0.0501921
+0.0483029
+0.0464403
+0.0446074
+0.0428082
+0.0410471
+0.0393291
+0.0376602
+0.0360473
+0.0344981
+0.0330143
+0.0315905
+0.0302585
+0.0290308
+0.0279213
+0.0269445
+0.0261154
+0.0253629
+0.0241447
+0.0230616
+0.022143
+0.0214099
+0.0208811
+0.0205445
+0.0204382
+0.020566
+0.0204326
+0.0198408
+0.0194788
+0.0193233
+0.0194035
+0.0197245
+0.0202362
+0.0209557
+0.0218387
+0.0228824
+0.0240568
+0.0253444
+0.0243809
+0.0234969
+0.0227645
+0.0222092
+0.0215559
+0.0209499
+0.0205475
+0.0202092
+0.0199967
+0.020023
+0.0200905
+0.0203159
+0.0205502
+0.0209548
+0.0215467
+0.0222626
+0.022739
+0.0230674
+0.0234063
+0.0239405
+0.024645
+0.0255186
+0.0265448
+0.0277064
+0.0286325
+0.0289035
+0.0293325
+0.0298491
+0.0302445
+0.0307662
+0.0314271
+0.0322236
+0.033146
+0.0341841
+0.0353117
+0.0365342
+0.0378442
+0.0392328
+0.0406921
+0.0422146
+0.0437938
+0.0454238
+0.0470993
+0.0488156
+0.0505686
+0.0523546
+0.0541703
+0.055737
+0.0569593
+0.0582385
+0.0595707
+0.0609526
+0.0688633
+0.0668795
+0.0649089
+0.062953
+0.061013
+0.0590905
+0.0571873
+0.0553054
+0.0534415
+0.051599
+0.0497848
+0.048002
+0.0462252
+0.0443834
+0.0425748
+0.0408035
+0.0390749
+0.0373947
+0.0357698
+0.034208
+0.0327109
+0.0312733
+0.0299272
+0.0286853
+0.0275619
+0.0265719
+0.0257308
+0.0250535
+0.0242694
+0.0231922
+0.022279
+0.0215505
+0.0210252
+0.020691
+0.0205854
+0.0207123
+0.0205348
+0.0199461
+0.019586
+0.0194314
+0.0195111
+0.0198303
+0.0203395
+0.0210554
+0.0219344
+0.0229737
+0.0241436
+0.0254411
+0.0256713
+0.0248333
+0.0239309
+0.0229933
+0.0222012
+0.021603
+0.0212153
+0.0209003
+0.0206948
+0.0207203
+0.0207833
+0.0210013
+0.0212271
+0.02162
+0.0221941
+0.0228898
+0.0233934
+0.0237108
+0.0240423
+0.0245627
+0.0252498
+0.0261032
+0.0271072
+0.0282458
+0.0293835
+0.0298757
+0.0302895
+0.0308251
+0.0315042
+0.0320331
+0.0326683
+0.0334353
+0.0343252
+0.0353286
+0.036431
+0.0376172
+0.0388907
+0.0402432
+0.0416671
+0.0431552
+0.0447012
+0.0462993
+0.0479442
+0.0496313
+0.0513565
+0.053116
+0.0549065
+0.0567251
+0.0582525
+0.0595039
+0.0608084
+0.0621628
+0.0685041
+0.0665096
+0.0645278
+0.0625599
+0.0606072
+0.0586688
+0.0567467
+0.0548448
+0.0529652
+0.0511103
+0.0492831
+0.0474799
+0.0457047
+0.043967
+0.0422714
+0.0406232
+0.0389424
+0.0372563
+0.035625
+0.0340566
+0.0325409
+0.0310991
+0.0297489
+0.0285033
+0.0273736
+0.0263766
+0.025529
+0.0248463
+0.0243421
+0.023527
+0.0226272
+0.0219103
+0.0213939
+0.0210655
+0.0209618
+0.0210865
+0.0208248
+0.0202445
+0.0198899
+0.0197631
+0.0198415
+0.0201461
+0.0206474
+0.0213626
+0.0222464
+0.0232718
+0.0244275
+0.0257109
+0.0268302
+0.0257633
+0.0247013
+0.0237645
+0.022999
+0.0224221
+0.0220488
+0.0217885
+0.0215916
+0.0216159
+0.0216367
+0.0218462
+0.0220649
+0.0224505
+0.0230067
+0.0237036
+0.024229
+0.0245272
+0.0248557
+0.0253595
+0.0260256
+0.0268543
+0.0278313
+0.0289413
+0.0300527
+0.030961
+0.0313564
+0.031874
+0.0325312
+0.0333197
+0.0339988
+0.0347364
+0.0355938
+0.0365624
+0.0376339
+0.0387937
+0.0400298
+0.0413451
+0.0427322
+0.0441845
+0.0456957
+0.0472602
+0.0488728
+0.0505289
+0.0522244
+0.0539556
+0.0557191
+0.057512
+0.0593317
+0.0608219
+0.0620988
+0.0634256
+0.0682134
+0.0662094
+0.0642147
+0.0622326
+0.060265
+0.0583132
+0.056379
+0.0544643
+0.0525711
+0.0507018
+0.0488593
+0.0470398
+0.0452474
+0.0434914
+0.0417765
+0.040108
+0.0384918
+0.036935
+0.0354452
+0.0340244
+0.0325008
+0.0310572
+0.029705
+0.0284575
+0.0273289
+0.0263323
+0.0254828
+0.0247983
+0.0242928
+0.0239774
+0.0231782
+0.0224789
+0.021955
+0.0216348
+0.0215339
+0.0216553
+0.0213354
+0.0207694
+0.0204239
+0.0202866
+0.020363
+0.0206708
+0.0211623
+0.0218607
+0.0227315
+0.0237512
+0.0249015
+0.0261621
+0.0275161
+0.026661
+0.0256088
+0.0247065
+0.0239711
+0.0234182
+0.0230609
+0.0228529
+0.0226652
+0.0226479
+0.0226673
+0.0228673
+0.0230763
+0.0234453
+0.0239785
+0.0246856
+0.0252276
+0.025506
+0.0258299
+0.0263149
+0.0269574
+0.0277584
+0.0287046
+0.0297821
+0.0308633
+0.0318778
+0.0325359
+0.0330351
+0.0336696
+0.0344321
+0.0353142
+0.0361236
+0.0369488
+0.0378828
+0.0389179
+0.0400462
+0.0412539
+0.0425313
+0.043881
+0.0452965
+0.0467717
+0.0483014
+0.0498803
+0.051504
+0.0531685
+0.0548699
+0.0566049
+0.0583706
+0.0601643
+0.0619835
+0.0634385
+0.0646727
+0.0679823
+0.0659679
+0.0639651
+0.061975
+0.0599989
+0.0580382
+0.0560946
+0.0541698
+0.0522659
+0.0503853
+0.0485308
+0.0466985
+0.0448924
+0.043122
+0.0413918
+0.0397071
+0.0380739
+0.0364992
+0.0349909
+0.0335578
+0.0322101
+0.0309589
+0.0298164
+0.0285801
+0.0274565
+0.0264647
+0.0256196
+0.0249389
+0.0244362
+0.0241228
+0.0239179
+0.0232239
+0.0227111
+0.0224018
+0.0223044
+0.0224215
+0.0220174
+0.0214694
+0.0211354
+0.0209955
+0.0210693
+0.0213687
+0.0218653
+0.0225419
+0.0234048
+0.0243983
+0.0253429
+0.026379
+0.0275506
+0.0276779
+0.0266659
+0.0258006
+0.0250972
+0.0245696
+0.0242288
+0.0240643
+0.0238535
+0.0238366
+0.023855
+0.0240452
+0.024244
+0.0245956
+0.0251043
+0.0257824
+0.0263707
+0.0266295
+0.0269447
+0.0274126
+0.0280299
+0.0288011
+0.0297141
+0.0307563
+0.0318043
+0.0327898
+0.0338164
+0.0342969
+0.0349085
+0.0356445
+0.0364973
+0.037459
+0.0383811
+0.0392811
+0.0402802
+0.0413714
+0.0425474
+0.0437951
+0.045107
+0.0464851
+0.0479238
+0.0494178
+0.0509621
+0.0525525
+0.0541847
+0.0558552
+0.0575605
+0.0592978
+0.0610642
+0.0628574
+0.0637483
+0.0644825
+0.0678174
+0.0657979
+0.0637898
+0.0617941
+0.059812
+0.057845
+0.0558946
+0.0539627
+0.0520512
+0.0501626
+0.0482995
+0.046458
+0.0446422
+0.0428614
+0.0411203
+0.039424
+0.0377786
+0.0361911
+0.0346693
+0.0332224
+0.0318605
+0.030595
+0.0294384
+0.0284038
+0.0275052
+0.0267557
+0.0259414
+0.0252693
+0.0247734
+0.0244642
+0.024311
+0.0241396
+0.0236468
+0.0233498
+0.0232563
+0.0233688
+0.022883
+0.0223562
+0.0220356
+0.0218892
+0.02196
+0.021933
+0.0220602
+0.0224019
+0.0229486
+0.023686
+0.0245971
+0.0256633
+0.0268661
+0.0281786
+0.0278424
+0.0270149
+0.0263439
+0.0258318
+0.0254981
+0.02535
+0.0251763
+0.0251603
+0.0251777
+0.025358
+0.0255404
+0.0258743
+0.0263557
+0.0270024
+0.0276348
+0.0278575
+0.028159
+0.0286255
+0.0292275
+0.0299679
+0.0308463
+0.0318515
+0.0328646
+0.0338192
+0.0348668
+0.0356488
+0.0362376
+0.0369471
+0.0377706
+0.0387006
+0.0397214
+0.0407492
+0.0417132
+0.0427678
+0.0439064
+0.0451228
+0.046404
+0.0477447
+0.0491466
+0.0506045
+0.0521137
+0.0536699
+0.0552691
+0.0569077
+0.0585825
+0.0602903
+0.0620285
+0.062941
+0.063594
+0.0642929
+0.067723
+0.0657006
+0.0636894
+0.0616905
+0.0597049
+0.0577343
+0.05578
+0.0538439
+0.0519281
+0.0500349
+0.0481668
+0.04632
+0.0444986
+0.0427119
+0.0409643
+0.0392613
+0.0376088
+0.0360138
+0.0344842
+0.0330292
+0.031659
+0.0303851
+0.0292201
+0.0281776
+0.0272715
+0.0265155
+0.0258899
+0.0254364
+0.0251661
+0.0249855
+0.0248354
+0.0248781
+0.0247415
+0.0244578
+0.0243686
+0.0244759
+0.0236668
+0.0227943
+0.0221052
+0.0216171
+0.0213437
+0.0212933
+0.0214243
+0.021776
+0.022338
+0.023095
+0.0240285
+0.0251188
+0.0263465
+0.0276836
+0.029108
+0.028331
+0.0276877
+0.0272008
+0.0268841
+0.0267437
+0.0266139
+0.0265988
+0.0266125
+0.026783
+0.0269297
+0.0272466
+0.0277151
+0.0283308
+0.0289505
+0.0291951
+0.0294829
+0.0299288
+0.0305117
+0.0312216
+0.0320657
+0.0330338
+0.034029
+0.0349518
+0.0359704
+0.0370792
+0.0376474
+0.0383308
+0.0391251
+0.0400237
+0.0410118
+0.0420766
+0.0432098
+0.0442287
+0.0453306
+0.0465097
+0.0477603
+0.0490699
+0.0504349
+0.0518566
+0.0533303
+0.054852
+0.0564178
+0.058024
+0.0596674
+0.061345
+0.0622251
+0.0627837
+0.0634096
+0.0641042
+0.0676993
+0.0656763
+0.0636643
+0.0616645
+0.0596781
+0.0577066
+0.0557513
+0.0538142
+0.0518973
+0.0500029
+0.0481336
+0.0462855
+0.0444626
+0.0426743
+0.0409252
+0.0392205
+0.0375662
+0.0359693
+0.0344377
+0.0329807
+0.0316084
+0.0303324
+0.0291653
+0.0281207
+0.0272127
+0.026455
+0.025828
+0.0253735
+0.0251025
+0.0250211
+0.0251312
+0.0254302
+0.0257908
+0.0254412
+0.0248001
+0.0243352
+0.0232823
+0.0223948
+0.021693
+0.0211954
+0.0209166
+0.0208651
+0.0209988
+0.0213575
+0.0219302
+0.0227008
+0.0236498
+0.0247569
+0.0260017
+0.0273557
+0.0287963
+0.0297504
+0.0291343
+0.028672
+0.0283717
+0.0282387
+0.0281487
+0.0281344
+0.0281345
+0.0282867
+0.0284202
+0.0287206
+0.0291758
+0.0297613
+0.0303675
+0.0306311
+0.0309055
+0.0313311
+0.0318884
+0.0325684
+0.0333785
+0.0343095
+0.0352722
+0.0361632
+0.0370614
+0.037787
+0.0386233
+0.0395634
+0.0405528
+0.0414204
+0.0423763
+0.0434076
+0.0445229
+0.045716
+0.0468141
+0.0479567
+0.0491704
+0.0504502
+0.0517839
+0.0531695
+0.0546078
+0.0560949
+0.0576269
+0.0592003
+0.0608119
+0.0615414
+0.0620387
+0.0625953
+0.063223
+0.0639197
+0.0677466
+0.065725
+0.0637145
+0.0617164
+0.0597317
+0.057762
+0.0558087
+0.0538737
+0.0519589
+0.0500668
+0.0482001
+0.0463545
+0.0445344
+0.0427492
+0.0410033
+0.0393019
+0.0376512
+0.0360581
+0.0345305
+0.0330775
+0.0317094
+0.0304376
+0.0292746
+0.0282307
+0.0273205
+0.0265603
+0.0259497
+0.0254973
+0.0252277
+0.0251467
+0.0252563
+0.0255538
+0.0253391
+0.0245054
+0.0238392
+0.0233603
+0.0230802
+0.022202
+0.0214939
+0.0209916
+0.02071
+0.0206581
+0.0207965
+0.0211587
+0.0217367
+0.0225138
+0.0234704
+0.0245855
+0.0258386
+0.0271851
+0.0286305
+0.0301658
+0.0306693
+0.0302304
+0.0299458
+0.0298198
+0.0297559
+0.0297424
+0.0297402
+0.0298703
+0.0299967
+0.0302815
+0.0307203
+0.0312799
+0.0318722
+0.0321523
+0.0324139
+0.0328199
+0.0333524
+0.034003
+0.0347797
+0.0356742
+0.0363243
+0.0368391
+0.037475
+0.0382262
+0.0390858
+0.0400402
+0.0410649
+0.042176
+0.0433584
+0.0446172
+0.0458875
+0.047046
+0.0482762
+0.0494584
+0.0506362
+0.0518797
+0.0531845
+0.0545388
+0.055942
+0.0573945
+0.0588927
+0.0604331
+0.0610023
+0.0614274
+0.0619255
+0.0624832
+0.063112
+0.0638099
+0.0678646
+0.0658466
+0.06384
+0.0618459
+0.0598655
+0.0579003
+0.0559518
+0.0540219
+0.0521127
+0.0502264
+0.0483657
+0.0465267
+0.0447136
+0.0429359
+0.0411978
+0.0395049
+0.037863
+0.0362773
+0.0347548
+0.0333068
+0.0319435
+0.0306763
+0.0295174
+0.0284801
+0.0275781
+0.0268251
+0.026221
+0.0257734
+0.0255067
+0.0254266
+0.0255349
+0.0255918
+0.0245811
+0.0237301
+0.0230471
+0.0225513
+0.0222541
+0.0221355
+0.0214774
+0.0209746
+0.0206928
+0.0206409
+0.0207908
+0.0211531
+0.0217312
+0.0225085
+0.0234654
+0.0245807
+0.0258309
+0.027172
+0.028618
+0.030154
+0.0317668
+0.0318634
+0.0315934
+0.031474
+0.0314319
+0.0314192
+0.0314166
+0.0315266
+0.0316464
+0.0319165
+0.0323331
+0.0328745
+0.0332344
+0.0333295
+0.0335542
+0.0339192
+0.0343027
+0.0347305
+0.0352868
+0.0359374
+0.036361
+0.0368752
+0.0375106
+0.038261
+0.0391199
+0.0400802
+0.0411317
+0.0422542
+0.0434582
+0.0447372
+0.0460849
+0.0474954
+0.0489152
+0.0502014
+0.0515486
+0.0529522
+0.0544079
+0.0559115
+0.0573288
+0.058747
+0.0602116
+0.0606063
+0.060966
+0.0613914
+0.0618857
+0.0624288
+0.0630435
+0.0637276
+0.0680529
+0.0660407
+0.0640401
+0.0620525
+0.0600789
+0.0581209
+0.0561801
+0.0542583
+0.0523577
+0.0504794
+0.0486173
+0.046783
+0.0449806
+0.0432141
+0.0414881
+0.0398078
+0.0381777
+0.0366031
+0.0350947
+0.0336613
+0.032313
+0.0310608
+0.0299168
+0.0288938
+0.0280052
+0.027264
+0.0266698
+0.0262298
+0.0259678
+0.0258892
+0.0259956
+0.0250339
+0.023994
+0.0231065
+0.0223988
+0.0218883
+0.0215891
+0.021488
+0.0215886
+0.0211854
+0.0209064
+0.020855
+0.0210034
+0.021362
+0.0219347
+0.0227051
+0.0236539
+0.0247608
+0.0260024
+0.027335
+0.0287729
+0.030301
+0.0319064
+0.0335599
+0.0333037
+0.0331905
+0.033168
+0.0331559
+0.0331531
+0.0332448
+0.0333584
+0.0331231
+0.0328535
+0.0327286
+0.0327501
+0.032914
+0.0331976
+0.0336218
+0.0341341
+0.0345641
+0.035123
+0.0357765
+0.0363484
+0.0369219
+0.0376145
+0.0384012
+0.039257
+0.040214
+0.0412653
+0.0424031
+0.043603
+0.0448778
+0.0462214
+0.0476278
+0.0490918
+0.0506083
+0.0521535
+0.0535412
+0.0549813
+0.0564696
+0.0580025
+0.0595726
+0.0603509
+0.0606203
+0.060939
+0.0613342
+0.0618047
+0.0623485
+0.062964
+0.0636432
+0.068311
+0.0663066
+0.0643143
+0.0623354
+0.0603711
+0.0584229
+0.0564924
+0.0545817
+0.0526855
+0.0508092
+0.048959
+0.047138
+0.0453497
+0.0435981
+0.0418879
+0.0402244
+0.0386118
+0.0370557
+0.0355665
+0.0341529
+0.0328248
+0.0315928
+0.0304688
+0.029465
+0.0285942
+0.0278687
+0.0272876
+0.0268578
+0.026602
+0.0265252
+0.0258164
+0.0246295
+0.0235629
+0.0226585
+0.0219363
+0.0214149
+0.021109
+0.021024
+0.0211267
+0.0214538
+0.0213439
+0.0212936
+0.0214389
+0.0217904
+0.022352
+0.0231085
+0.0240415
+0.0251312
+0.0263554
+0.0276711
+0.0290923
+0.0306044
+0.0321947
+0.033852
+0.0350675
+0.03496
+0.0349552
+0.0349437
+0.0344324
+0.0337514
+0.0331989
+0.0327839
+0.0325114
+0.0323852
+0.032407
+0.0325726
+0.0328591
+0.0332876
+0.0338527
+0.0344885
+0.0350794
+0.0356294
+0.0362951
+0.0369208
+0.0376134
+0.0384186
+0.0393295
+0.0403389
+0.0414396
+0.0426207
+0.0438454
+0.0451174
+0.0464579
+0.0478603
+0.0493174
+0.0508271
+0.052385
+0.0539868
+0.0556288
+0.0571064
+0.0586227
+0.0601728
+0.0603635
+0.0605984
+0.0609019
+0.0612822
+0.061738
+0.0622676
+0.062869
+0.0635404
+0.068638
+0.0666435
+0.0646616
+0.0626936
+0.0607409
+0.058805
+0.0568847
+0.0549771
+0.0530914
+0.05123
+0.0493955
+0.0475912
+0.0458206
+0.0440878
+0.0423973
+0.0407546
+0.0391639
+0.0376306
+0.036165
+0.0347758
+0.0334724
+0.0322652
+0.0311654
+0.0301848
+0.0293353
+0.0286286
+0.0280633
+0.0276455
+0.0273971
+0.0269132
+0.0256043
+0.0244071
+0.0233304
+0.0224166
+0.0216864
+0.0211588
+0.0208491
+0.020763
+0.020867
+0.0211982
+0.021746
+0.0219431
+0.0220841
+0.0224255
+0.0229716
+0.0237083
+0.0246186
+0.0256838
+0.0268828
+0.0281739
+0.029571
+0.0310598
+0.0326279
+0.0342642
+0.0359577
+0.0367748
+0.0359317
+0.0350308
+0.0342465
+0.0335618
+0.0330062
+0.0325887
+0.0323146
+0.0321876
+0.0322095
+0.0323761
+0.0326643
+0.0330954
+0.0336637
+0.034303
+0.034897
+0.0354498
+0.0361189
+0.0368891
+0.0377397
+0.0385423
+0.0394503
+0.0404567
+0.0415543
+0.0427322
+0.0439842
+0.0453075
+0.0466962
+0.0481446
+0.0496244
+0.0511286
+0.052681
+0.0542773
+0.0559138
+0.0575834
+0.059286
+0.0601975
+0.0603441
+0.0605697
+0.0608733
+0.0612539
+0.0617099
+0.0622396
+0.0628414
+0.063513
+0.0690331
+0.0670503
+0.0650808
+0.0631259
+0.0611867
+0.059257
+0.0573446
+0.0554529
+0.0535839
+0.0517401
+0.0499244
+0.04814
+0.0463903
+0.0446796
+0.0430124
+0.0413941
+0.0398289
+0.0383222
+0.0368842
+0.0355231
+0.0342481
+0.0330693
+0.0319971
+0.0310428
+0.0302174
+0.0295318
+0.0289842
+0.0285799
+0.0283078
+0.0268809
+0.0255623
+0.0243696
+0.0233024
+0.0223875
+0.0216563
+0.0211279
+0.0208178
+0.0207316
+0.0208357
+0.0211673
+0.021716
+0.0224657
+0.0229214
+0.0232504
+0.0237776
+0.0244901
+0.0253723
+0.0264072
+0.0275748
+0.0288349
+0.0302014
+0.0316606
+0.0332003
+0.0348097
+0.0364779
+0.0366324
+0.0356928
+0.0348658
+0.0341594
+0.0335146
+0.0329582
+0.0325401
+0.0322656
+0.0321384
+0.0321603
+0.0323272
+0.0326159
+0.0330475
+0.0336167
+0.0342326
+0.0348516
+0.0354052
+0.0360751
+0.0368462
+0.0377289
+0.0387155
+0.0396919
+0.0406923
+0.0417837
+0.0429553
+0.0442009
+0.045518
+0.0469005
+0.0483427
+0.0498395
+0.0513861
+0.0529782
+0.0546118
+0.0562664
+0.0579298
+0.0596272
+0.0602483
+0.0603948
+0.0606202
+0.0609236
+0.0613038
+0.0617594
+0.0622888
+0.0628901
+0.0635612
+0.069495
+0.0675258
+0.0655706
+0.0636261
+0.0616936
+0.0597789
+0.0578838
+0.0560103
+0.0541605
+0.0523371
+0.0505429
+0.048781
+0.0470552
+0.0453696
+0.0437287
+0.0421379
+0.0406014
+0.0391245
+0.037717
+0.0363871
+0.0351435
+0.0339957
+0.0329537
+0.0320279
+0.0312286
+0.0305657
+0.0300311
+0.0296411
+0.0284212
+0.0270003
+0.0256878
+0.0245013
+0.0234507
+0.0225418
+0.0218158
+0.0212913
+0.0209836
+0.0209022
+0.0210222
+0.0213509
+0.0218949
+0.0226388
+0.0235635
+0.0242458
+0.0247518
+0.025437
+0.0262875
+0.0272855
+0.0284145
+0.0296433
+0.0309742
+0.0323986
+0.0339049
+0.0354823
+0.0371202
+0.0364357
+0.0354909
+0.034659
+0.0339483
+0.0333545
+0.0328802
+0.0325467
+0.0323493
+0.0322225
+0.0322443
+0.0324108
+0.0326987
+0.0331293
+0.0336971
+0.0342995
+0.0349438
+0.0354959
+0.0361642
+0.0369334
+0.037814
+0.0387985
+0.0398792
+0.0410341
+0.0421259
+0.0432882
+0.0445246
+0.0458323
+0.0472056
+0.0486388
+0.0501267
+0.0516648
+0.0532485
+0.054874
+0.0565377
+0.0582363
+0.0599602
+0.0603022
+0.0604486
+0.0606738
+0.0609769
+0.0613568
+0.061812
+0.0623409
+0.0629417
+0.0636123
+0.0700225
+0.0680672
+0.0661195
+0.0641873
+0.0622722
+0.0603759
+0.0585001
+0.056647
+0.0548187
+0.0530179
+0.0512475
+0.0495108
+0.0478113
+0.0461533
+0.0445413
+0.0429806
+0.0414753
+0.0400306
+0.0386562
+0.0373597
+0.0361496
+0.0350348
+0.0340247
+0.0331288
+0.0323567
+0.0317128
+0.0311903
+0.0301955
+0.0287019
+0.0272956
+0.025998
+0.0248263
+0.0237901
+0.0228947
+0.0221802
+0.0216646
+0.0213623
+0.0212823
+0.0214001
+0.0217231
+0.0222581
+0.0229901
+0.0239013
+0.0249718
+0.0258544
+0.0265071
+0.0273182
+0.0282762
+0.0293667
+0.0305724
+0.0318622
+0.0332464
+0.0347137
+0.0362541
+0.0374155
+0.0363645
+0.0354181
+0.0345847
+0.0338727
+0.0332775
+0.0328021
+0.0324678
+0.0322791
+0.0322384
+0.0323465
+0.0326017
+0.0329148
+0.0333426
+0.0339068
+0.0345056
+0.0351699
+0.0357211
+0.0363852
+0.0371498
+0.0380254
+0.0390046
+0.0400797
+0.0412432
+0.0424086
+0.043645
+0.0449527
+0.0462484
+0.0476097
+0.049031
+0.0505074
+0.0520342
+0.0536071
+0.055222
+0.0568755
+0.0585643
+0.0602788
+0.060435
+0.0605811
+0.0608058
+0.0611082
+0.0614873
+0.0619416
+0.0624694
+0.0630689
+0.0637382
+0.0706078
+0.0686622
+0.0667317
+0.0648177
+0.0629219
+0.0610457
+0.0591912
+0.0573603
+0.0555556
+0.0537795
+0.052035
+0.0503254
+0.0486544
+0.0470261
+0.0454451
+0.0439165
+0.0424444
+0.0410339
+0.0396942
+0.0384327
+0.0372575
+0.0361768
+0.0351995
+0.0343343
+0.0335899
+0.0329585
+0.0321704
+0.0306169
+0.029145
+0.0277612
+0.0264864
+0.0253372
+0.0243228
+0.0234478
+0.0227507
+0.0222483
+0.021954
+0.0218762
+0.0219908
+0.0223053
+0.0228266
+0.023541
+0.0244316
+0.0254799
+0.0266574
+0.0276992
+0.0284764
+0.0293966
+0.030447
+0.0316116
+0.0328606
+0.0342044
+0.0356323
+0.0371346
+0.0371516
+0.0361815
+0.0353089
+0.0345534
+0.033921
+0.0333279
+0.0328532
+0.0325195
+0.032331
+0.0322905
+0.0323983
+0.0326531
+0.0330514
+0.0335298
+0.0341155
+0.0347274
+0.0352257
+0.0358512
+0.0365013
+0.0372655
+0.0381403
+0.0391175
+0.0401895
+0.04135
+0.0425916
+0.0439074
+0.0452589
+0.0466231
+0.0480403
+0.0495138
+0.0509795
+0.0524926
+0.0540521
+0.0556541
+0.0572952
+0.0589719
+0.0605738
+0.0606404
+0.060786
+0.0610099
+0.0613114
+0.0616892
+0.062142
+0.0626625
+0.0632167
+0.0638408
+0.0712488
+0.0693212
+0.0674095
+0.0655154
+0.0636403
+0.061786
+0.0599543
+0.0581475
+0.0563679
+0.0546183
+0.0529015
+0.0512208
+0.04958
+0.0479831
+0.0464347
+0.0449397
+0.0435024
+0.0421273
+0.0408235
+0.039598
+0.0384584
+0.0374124
+0.0364682
+0.0356338
+0.0349127
+0.034299
+0.0327133
+0.031187
+0.0297433
+0.0283886
+0.0271433
+0.0260232
+0.0250359
+0.0241866
+0.0235114
+0.0230256
+0.0227413
+0.0226661
+0.0227772
+0.0230809
+0.0235851
+0.0242772
+0.0251417
+0.0261615
+0.0273102
+0.0285716
+0.0297509
+0.0306329
+0.0316423
+0.0327644
+0.033971
+0.0352726
+0.0366589
+0.0380628
+0.0369871
+0.0360009
+0.0351238
+0.0343642
+0.03373
+0.0332284
+0.0328654
+0.0326202
+0.0325181
+0.0324904
+0.0325976
+0.0328509
+0.0332468
+0.0337224
+0.0343048
+0.0349134
+0.0354091
+0.0360314
+0.0367036
+0.0374636
+0.0383339
+0.0393063
+0.0403734
+0.0415286
+0.042765
+0.0440757
+0.0454542
+0.0468871
+0.0483649
+0.0498869
+0.0514009
+0.0529623
+0.0545669
+0.0561613
+0.0577879
+0.0594508
+0.0607761
+0.0608527
+0.0609978
+0.0611919
+0.0614622
+0.0618091
+0.0622261
+0.0627071
+0.0632604
+0.0638841
+0.0719508
+0.0700425
+0.0681511
+0.0662781
+0.0644252
+0.0625942
+0.0607869
+0.0590056
+0.0572527
+0.0555309
+0.0538432
+0.0521929
+0.0505836
+0.0490194
+0.0475048
+0.0460446
+0.0446428
+0.0433039
+0.0420366
+0.0408476
+0.0397438
+0.0387326
+0.0378213
+0.0370175
+0.0363133
+0.0349589
+0.0333915
+0.0318976
+0.0304875
+0.0291674
+0.0279569
+0.0268564
+0.0258817
+0.025061
+0.0244099
+0.0239423
+0.023669
+0.0235968
+0.023707
+0.0239989
+0.0244842
+0.0251516
+0.025987
+0.0269749
+0.0280992
+0.0293442
+0.0306799
+0.0319717
+0.0329401
+0.0340194
+0.035183
+0.0364413
+0.0377847
+0.0380194
+0.0369407
+0.0359532
+0.0350749
+0.0343142
+0.033679
+0.0331766
+0.0328131
+0.0325674
+0.0324652
+0.0325105
+0.0326848
+0.0329446
+0.0333395
+0.0338717
+0.0344961
+0.0351375
+0.0357082
+0.036343
+0.0370346
+0.0377879
+0.0386509
+0.0396155
+0.0406745
+0.0418215
+0.0430495
+0.0443517
+0.0457219
+0.047154
+0.0486356
+0.0501576
+0.0517275
+0.0533413
+0.054993
+0.0566249
+0.0582934
+0.0599955
+0.0609607
+0.0609964
+0.0611108
+0.0613032
+0.0615731
+0.0619193
+0.0623406
+0.0628276
+0.0633799
+0.0640023
+0.072712
+0.0708242
+0.0689543
+0.0671038
+0.0652743
+0.0634677
+0.061686
+0.0599315
+0.0582065
+0.0565137
+0.0548563
+0.0532374
+0.0516606
+0.0501301
+0.04865
+0.0472253
+0.0458596
+0.0445573
+0.0433267
+0.042174
+0.0411059
+0.040129
+0.0392502
+0.0384718
+0.0373162
+0.0357179
+0.0341853
+0.0327277
+0.0313555
+0.0300804
+0.028894
+0.0278183
+0.0268785
+0.0260892
+0.0254644
+0.0250165
+0.024755
+0.024686
+0.0247959
+0.0250752
+0.02554
+0.0261805
+0.0269841
+0.0279368
+0.0290238
+0.0302308
+0.0315439
+0.0329316
+0.0343287
+0.0353628
+0.0364835
+0.0376984
+0.0389986
+0.0381002
+0.0370239
+0.0360387
+0.0351626
+0.0344038
+0.0337704
+0.0332693
+0.0329068
+0.0326619
+0.0325599
+0.0326051
+0.0327789
+0.033038
+0.0334317
+0.0339625
+0.0345852
+0.035304
+0.0358721
+0.0365627
+0.0373692
+0.0382352
+0.0390884
+0.0400424
+0.0410904
+0.0422261
+0.0434426
+0.0447334
+0.0460922
+0.0475132
+0.048991
+0.0505129
+0.0520721
+0.0536755
+0.0553192
+0.0569997
+0.0587138
+0.0604587
+0.0611479
+0.0611836
+0.0612976
+0.0614895
+0.0617585
+0.0620905
+0.0624959
+0.0629749
+0.0635258
+0.0641469
+0.0735307
+0.0716644
+0.069817
+0.06799
+0.066185
+0.064404
+0.0626489
+0.0609221
+0.0592259
+0.0575632
+0.0559369
+0.0543501
+0.0528067
+0.0513103
+0.0498653
+0.0484763
+0.0471468
+0.0458811
+0.0446869
+0.0435703
+0.0425372
+0.0415939
+0.0407467
+0.0397618
+0.0381402
+0.0365779
+0.0350829
+0.0336641
+0.0323317
+0.0310966
+0.0299508
+0.0289145
+0.0280114
+0.027255
+0.0266575
+0.02623
+0.0259808
+0.025915
+0.0260201
+0.0262864
+0.0267302
+0.0273428
+0.0281132
+0.0290288
+0.0300764
+0.0312428
+0.032515
+0.0338627
+0.0352865
+0.0367823
+0.0378611
+0.0390331
+0.0394542
+0.0383063
+0.0372362
+0.0362567
+0.035386
+0.0346321
+0.0340029
+0.0335053
+0.0331454
+0.0329023
+0.032801
+0.0328459
+0.0330184
+0.0332756
+0.0336666
+0.0341937
+0.0348123
+0.0355491
+0.0361681
+0.0368532
+0.0376535
+0.0385618
+0.0395662
+0.0405832
+0.0416176
+0.0427392
+0.0439416
+0.0452181
+0.0465628
+0.0479699
+0.049434
+0.0509454
+0.0524918
+0.0540827
+0.0557144
+0.0573833
+0.0590863
+0.0608206
+0.0614128
+0.0614423
+0.0615408
+0.0617169
+0.06197
+0.0622991
+0.0627031
+0.0631805
+0.0637297
+0.0643488
+0.0744048
+0.0725611
+0.0707371
+0.0689344
+0.0671548
+0.0654002
+0.0636726
+0.0619743
+0.0603078
+0.0586757
+0.0570811
+0.0555271
+0.0540172
+0.0525553
+0.0511455
+0.0497922
+0.0484989
+0.0472693
+0.0461112
+0.0450298
+0.044031
+0.0431205
+0.0422923
+0.0406543
+0.0390697
+0.0375461
+0.0360913
+0.0347137
+0.0334232
+0.0322299
+0.0311261
+0.0301303
+0.0292648
+0.0285416
+0.0279716
+0.0275645
+0.0273274
+0.0272649
+0.0273645
+0.0276178
+0.0280405
+0.0286251
+0.0293619
+0.0302397
+0.0312468
+0.032371
+0.0336005
+0.0349065
+0.0362894
+0.0377489
+0.0392763
+0.0404425
+0.0396985
+0.0386293
+0.0375751
+0.0366048
+0.0357425
+0.0349963
+0.0343737
+0.0338816
+0.0335257
+0.0332854
+0.0331853
+0.0332297
+0.0334002
+0.0336545
+0.0340411
+0.0345625
+0.0351746
+0.035904
+0.0365932
+0.0372704
+0.0380495
+0.0389247
+0.0399011
+0.0409716
+0.0421093
+0.0433209
+0.0445428
+0.0458026
+0.0471306
+0.0485213
+0.0499692
+0.0514675
+0.0529987
+0.0545749
+0.0561923
+0.0578474
+0.0595371
+0.0612586
+0.0617032
+0.0617235
+0.0618215
+0.0619969
+0.0622488
+0.0625765
+0.0629787
+0.0634541
+0.0640009
+0.0646174
+0.0753326
+0.0735121
+0.0717123
+0.0699347
+0.0681813
+0.0664538
+0.0647543
+0.0630851
+0.0614487
+0.0598478
+0.0582852
+0.0567642
+0.0552881
+0.0538608
+0.052486
+0.0511682
+0.0499105
+0.0487166
+0.0475937
+0.0465468
+0.0455812
+0.0447023
+0.0432436
+0.041643
+0.0400975
+0.0386145
+0.0372014
+0.0358666
+0.034619
+0.0334685
+0.0324071
+0.0314518
+0.0306237
+0.0299334
+0.0293904
+0.0290032
+0.028778
+0.0287186
+0.0288129
+0.0290536
+0.0294557
+0.0300127
+0.0307162
+0.0315564
+0.0325228
+0.0336043
+0.0347903
+0.0360535
+0.037394
+0.0388119
+0.040299
+0.0410669
+0.0399141
+0.0388508
+0.0378845
+0.0370215
+0.0362282
+0.0354922
+0.0348785
+0.0343936
+0.0340431
+0.0338064
+0.0337079
+0.0337516
+0.0339194
+0.0341699
+0.0345507
+0.0350646
+0.0356681
+0.0363325
+0.036879
+0.0375265
+0.0382885
+0.0391584
+0.0401291
+0.0411936
+0.0423288
+0.043544
+0.0448334
+0.0461907
+0.0476079
+0.0490796
+0.0505937
+0.0520756
+0.0535905
+0.0551498
+0.0567507
+0.0583901
+0.0600645
+0.0617713
+0.0620606
+0.0620808
+0.0621783
+0.0623526
+0.0626031
+0.0629289
+0.0633289
+0.0637861
+0.0643073
+0.0648981
+0.0763119
+0.0745154
+0.0727404
+0.0709886
+0.0692619
+0.067562
+0.0658911
+0.0642515
+0.0626455
+0.061076
+0.0595456
+0.0580576
+0.0566153
+0.0552223
+0.0538823
+0.0525994
+0.0513768
+0.0502178
+0.0491291
+0.0481157
+0.0471822
+0.0458938
+0.0442829
+0.0427213
+0.0412162
+0.0397749
+0.0384046
+0.037113
+0.0359088
+0.0348009
+0.0337817
+0.0328664
+0.0320749
+0.0314164
+0.0308995
+0.0305314
+0.0303176
+0.0302612
+0.0303504
+0.030579
+0.0309613
+0.0314918
+0.0321629
+0.0329663
+0.0338924
+0.0349316
+0.036074
+0.0372939
+0.0385913
+0.0399668
+0.0414125
+0.0413915
+0.0402473
+0.0391896
+0.0382283
+0.0373708
+0.0366049
+0.0359542
+0.0354208
+0.0349965
+0.0346913
+0.034459
+0.0343624
+0.0344053
+0.03457
+0.0348157
+0.0351896
+0.0356942
+0.0362831
+0.0367055
+0.0372519
+0.0378956
+0.0386504
+0.0395123
+0.0404746
+0.0415302
+0.0426564
+0.0438626
+0.0451428
+0.0464911
+0.0479017
+0.0493692
+0.0508887
+0.052454
+0.0540603
+0.0557064
+0.0573875
+0.0590091
+0.0606665
+0.0623568
+0.0624594
+0.0624795
+0.0625764
+0.0627496
+0.0629902
+0.0632981
+0.0636727
+0.06412
+0.0646384
+0.0652263
+0.077341
+0.0755689
+0.0738192
+0.0720937
+0.070394
+0.0687222
+0.0670802
+0.0654703
+0.063895
+0.0623569
+0.0608588
+0.0594037
+0.0579949
+0.0566358
+0.05533
+0.0540815
+0.0528932
+0.0517681
+0.0507128
+0.0497316
+0.0485969
+0.0469766
+0.0454042
+0.0438825
+0.0424186
+0.0410196
+0.0396923
+0.038444
+0.0372828
+0.0362169
+0.035239
+0.0343625
+0.0336062
+0.0329783
+0.0324863
+0.0321364
+0.0319333
+0.0318798
+0.0319642
+0.0321814
+0.0325449
+0.0330499
+0.03369
+0.0344578
+0.0353449
+0.0363425
+0.0374419
+0.0386189
+0.0398732
+0.0412059
+0.0426096
+0.0418215
+0.0406869
+0.039641
+0.0386909
+0.0378439
+0.0370878
+0.0364395
+0.0358938
+0.0354752
+0.0351882
+0.0350361
+0.0349974
+0.0350924
+0.0353233
+0.0355849
+0.0359508
+0.0364276
+0.0367702
+0.0371871
+0.0377267
+0.0383838
+0.0391317
+0.0399833
+0.0409345
+0.0419785
+0.0430931
+0.0442873
+0.0455556
+0.0468921
+0.0482909
+0.0497469
+0.0512553
+0.0528097
+0.0544055
+0.0560415
+0.0577142
+0.0594207
+0.0611581
+0.0629164
+0.0628601
+0.0628801
+0.0629763
+0.0631485
+0.0633959
+0.06371
+0.0640821
+0.0645265
+0.0650416
+0.0656259
+0.0784177
+0.0766705
+0.0749466
+0.0732476
+0.0715753
+0.0699317
+0.0683188
+0.0667389
+0.0651942
+0.0636875
+0.0622214
+0.060799
+0.0594232
+0.0580975
+0.0568254
+0.0556105
+0.0544555
+0.0533634
+0.0523381
+0.0513448
+0.0497174
+0.0481348
+0.0466001
+0.0451181
+0.0436957
+0.0423389
+0.0410542
+0.0398486
+0.0387295
+0.0377046
+0.0367642
+0.035925
+0.0352023
+0.0346035
+0.034135
+0.0338022
+0.0336093
+0.0335585
+0.0336301
+0.0338366
+0.0341824
+0.0346636
+0.0352745
+0.0360085
+0.0368582
+0.037816
+0.0388737
+0.04002
+0.0412317
+0.0425218
+0.0433436
+0.0421884
+0.0411123
+0.040127
+0.0392329
+0.0384241
+0.0376807
+0.0370293
+0.0364924
+0.0360807
+0.0357986
+0.0356491
+0.0356111
+0.0357045
+0.0359121
+0.0361677
+0.0365531
+0.0370082
+0.0373795
+0.0377897
+0.0383209
+0.0389681
+0.0397256
+0.0405673
+0.0415051
+0.0425351
+0.0436355
+0.0448152
+0.046069
+0.047391
+0.0487755
+0.0502175
+0.0517121
+0.0532532
+0.0548361
+0.0564596
+0.0581203
+0.0598152
+0.0615414
+0.0632964
+0.0633341
+0.0633539
+0.0634495
+0.0636203
+0.0638659
+0.0641788
+0.0645423
+0.0649776
+0.0654834
+0.0660453
+0.0795402
+0.0778182
+0.0761203
+0.0744481
+0.0728034
+0.0711882
+0.0696044
+0.0680543
+0.0665402
+0.0650647
+0.0636303
+0.0622401
+0.0608969
+0.059604
+0.0583647
+0.0571825
+0.0560599
+0.0549904
+0.0539882
+0.052498
+0.0509076
+0.0493611
+0.0478644
+0.0464227
+0.0450415
+0.0437265
+0.0424838
+0.04132
+0.0402418
+0.0392488
+0.0383389
+0.0375349
+0.0368438
+0.0362721
+0.0358254
+0.0355085
+0.0353248
+0.0352765
+0.0353454
+0.0355418
+0.0358713
+0.0363301
+0.0369134
+0.0376154
+0.0384297
+0.0393492
+0.0403668
+0.0414752
+0.0426595
+0.0439077
+0.0437115
+0.0425613
+0.0414948
+0.0405189
+0.0396401
+0.0388462
+0.0381565
+0.0375821
+0.0371283
+0.0367995
+0.0365303
+0.0363759
+0.0363355
+0.0364268
+0.0366162
+0.036867
+0.0372451
+0.0377073
+0.0381052
+0.0385077
+0.0390291
+0.0396648
+0.0404094
+0.0412498
+0.0421724
+0.0431866
+0.0442797
+0.0454428
+0.0466797
+0.0479848
+0.0493527
+0.0507783
+0.0522569
+0.0537823
+0.0553501
+0.056959
+0.0586056
+0.0602868
+0.0619999
+0.0637422
+0.0638797
+0.0638994
+0.0639941
+0.0641635
+0.0644023
+0.0646904
+0.0650291
+0.0654187
+0.0658788
+0.066408
+0.0807033
+0.0790066
+0.0773348
+0.0756894
+0.0740723
+0.0724854
+0.0709305
+0.0694101
+0.0679262
+0.0664814
+0.0650783
+0.0637197
+0.0624083
+0.0611474
+0.05994
+0.0587892
+0.0576871
+0.0566479
+0.0553124
+0.0537159
+0.0521601
+0.0506512
+0.0491937
+0.0477922
+0.0464517
+0.0451778
+0.0439761
+0.0428528
+0.0418142
+0.0408451
+0.0399716
+0.0392011
+0.0385399
+0.0379937
+0.0375675
+0.0372654
+0.0370905
+0.0370445
+0.0371107
+0.0372979
+0.0376119
+0.0380497
+0.0386071
+0.0392789
+0.0400593
+0.0409422
+0.0419211
+0.0429895
+0.0441408
+0.045357
+0.0441803
+0.0430425
+0.0419884
+0.0410242
+0.0401525
+0.0393771
+0.0386969
+0.0381307
+0.0376834
+0.0373595
+0.037151
+0.0370571
+0.0370926
+0.0372502
+0.0374354
+0.0376808
+0.0380508
+0.0385184
+0.0389126
+0.0393347
+0.0398453
+0.0404682
+0.0411983
+0.0420229
+0.0429289
+0.0439256
+0.0450069
+0.0461658
+0.0473839
+0.0486701
+0.0500193
+0.0514264
+0.0528868
+0.0543946
+0.0559452
+0.0575375
+0.059168
+0.0608337
+0.0625318
+0.0642067
+0.0644952
+0.0645147
+0.0645548
+0.0646509
+0.064821
+0.0650645
+0.0653804
+0.0657679
+0.0662256
+0.0667521
+0.0819064
+0.0802351
+0.0785894
+0.0769709
+0.0753813
+0.0738225
+0.0722964
+0.0708053
+0.0693513
+0.0679368
+0.0665644
+0.0652367
+0.0639565
+0.0627266
+0.0615503
+0.0604224
+0.0593503
+0.0581556
+0.0565539
+0.0549911
+0.0534724
+0.0520016
+0.0505831
+0.0492211
+0.0479206
+0.0466868
+0.045525
+0.0444409
+0.0434279
+0.0424945
+0.0416556
+0.0409168
+0.0402838
+0.0397616
+0.0393545
+0.0390662
+0.0388994
+0.0388555
+0.0389193
+0.0390978
+0.0393975
+0.0398157
+0.0403487
+0.0409919
+0.0417403
+0.0425884
+0.0435303
+0.0445601
+0.0456718
+0.0459514
+0.0447515
+0.0436287
+0.0425884
+0.0416308
+0.0407685
+0.040005
+0.0393357
+0.0387787
+0.0383391
+0.0380207
+0.0378158
+0.0377236
+0.0377585
+0.0379201
+0.0382069
+0.0386019
+0.0389632
+0.0394273
+0.0398199
+0.0402517
+0.040763
+0.0413721
+0.0420865
+0.0428941
+0.0437821
+0.0447598
+0.0458214
+0.0469613
+0.0481728
+0.049443
+0.0507717
+0.0521585
+0.053599
+0.0550873
+0.0566189
+0.0581927
+0.0598054
+0.0610812
+0.0621932
+0.0633615
+0.064583
+0.0649608
+0.0649826
+0.0650781
+0.065247
+0.0654889
+0.0658028
+0.0661878
+0.0666426
+0.0671659
+0.0831497
+0.081504
+0.0798845
+0.0782927
+0.0767305
+0.0751996
+0.0737021
+0.07224
+0.0708154
+0.0694308
+0.0680885
+0.0667911
+0.0655413
+0.0643418
+0.0631912
+0.0620896
+0.0610236
+0.0594178
+0.0578495
+0.0563226
+0.0548408
+0.0534078
+0.0520276
+0.0507044
+0.049443
+0.0482481
+0.0471248
+0.0460742
+0.0450892
+0.044191
+0.0433848
+0.042676
+0.0420695
+0.0415697
+0.0411805
+0.0409051
+0.0407458
+0.0407039
+0.0407654
+0.0409358
+0.0412222
+0.0416221
+0.0421322
+0.0427486
+0.0434668
+0.0442818
+0.0451884
+0.0461813
+0.0472549
+0.046604
+0.0454213
+0.0443111
+0.0432807
+0.0423387
+0.0414911
+0.0407412
+0.0400841
+0.0395378
+0.0391066
+0.0387946
+0.0385938
+0.0385034
+0.0385376
+0.038696
+0.038977
+0.0393781
+0.0398797
+0.0404328
+0.0408246
+0.0412543
+0.0417637
+0.0423675
+0.0430668
+0.0438574
+0.0447263
+0.0456838
+0.0467245
+0.0478429
+0.0490326
+0.0502887
+0.0516061
+0.0529711
+0.0543901
+0.0558573
+0.0569498
+0.0578928
+0.0589021
+0.0599746
+0.0611067
+0.0622954
+0.0635373
+0.0648296
+0.0654809
+0.0655757
+0.0657433
+0.0659834
+0.066295
+0.0666771
+0.0671286
+0.0676478
+0.0844317
+0.0828114
+0.0812179
+0.0796528
+0.0781178
+0.0766147
+0.0751454
+0.0737119
+0.0723163
+0.070961
+0.0696482
+0.0683804
+0.0671601
+0.0659892
+0.0648612
+0.0637884
+0.0623042
+0.0607314
+0.0591978
+0.0577067
+0.0562613
+0.0548654
+0.0535228
+0.0522375
+0.051014
+0.0498568
+0.0487706
+0.047744
+0.0467941
+0.0459292
+0.0451542
+0.0444736
+0.0438919
+0.0434131
+0.0430406
+0.0427771
+0.0426248
+0.0425848
+0.0426441
+0.0428071
+0.043081
+0.0434638
+0.0439525
+0.0445437
+0.0452334
+0.0460172
+0.0468903
+0.0478478
+0.0485767
+0.0473419
+0.0461775
+0.0450834
+0.0440711
+0.0431463
+0.0423149
+0.0415798
+0.0409363
+0.0404014
+0.0399796
+0.0396744
+0.0394781
+0.0393898
+0.0394232
+0.039578
+0.0398528
+0.0402452
+0.0407361
+0.0413303
+0.0419176
+0.0423467
+0.042843
+0.0434318
+0.0441142
+0.0448933
+0.0457561
+0.0466924
+0.0477111
+0.0488069
+0.0499737
+0.0512067
+0.0525021
+0.0533791
+0.0541299
+0.0549506
+0.0558414
+0.0568027
+0.0578311
+0.058923
+0.060075
+0.0612837
+0.0625457
+0.0638574
+0.0652117
+0.0660568
+0.0662092
+0.0664336
+0.0667292
+0.067095
+0.06753
+0.0680327
+0.0857504
+0.0841556
+0.082588
+0.0810494
+0.0795413
+0.0780656
+0.0766241
+0.0752188
+0.0738517
+0.0725251
+0.0712411
+0.0700022
+0.0688107
+0.0676611
+0.0665614
+0.0652101
+0.0636336
+0.0620944
+0.0605954
+0.0591395
+0.05773
+0.0563705
+0.0550646
+0.0538162
+0.0526294
+0.0515084
+0.0504493
+0.0494544
+0.0485381
+0.0477048
+0.046959
+0.046305
+0.0457466
+0.0452874
+0.0449304
+0.0446781
+0.0445323
+0.044494
+0.0445513
+0.0447074
+0.0449697
+0.0453365
+0.0458053
+0.0463729
+0.0470358
+0.04779
+0.0486313
+0.0495552
+0.0493795
+0.0481653
+0.0470213
+0.0459473
+0.0449544
+0.0440482
+0.0432341
+0.0425073
+0.041878
+0.0413553
+0.0409433
+0.0406453
+0.0404618
+0.0403757
+0.0404083
+0.0405593
+0.0408275
+0.0412106
+0.0416891
+0.0422699
+0.0429548
+0.0435219
+0.0440051
+0.0445785
+0.0452436
+0.0460036
+0.0468532
+0.0477803
+0.0487762
+0.0498486
+0.0504691
+0.0509871
+0.051593
+0.0522838
+0.0530489
+0.0538821
+0.0547902
+0.0557697
+0.0568168
+0.0579278
+0.0590992
+0.0603274
+0.0616091
+0.0629402
+0.0643139
+0.0657318
+0.0666614
+0.0668842
+0.0671778
+0.0675412
+0.0679733
+0.0684728
+0.0871043
+0.0855347
+0.0839929
+0.0824804
+0.080999
+0.0795504
+0.0781363
+0.0767586
+0.0754195
+0.0741209
+0.0728651
+0.0716542
+0.070486
+0.0693618
+0.0681328
+0.0665535
+0.0650096
+0.0635038
+0.0620388
+0.0606176
+0.0592433
+0.0579193
+0.0566491
+0.0554364
+0.054285
+0.0531975
+0.052163
+0.0512015
+0.050317
+0.0495136
+0.0487955
+0.0481664
+0.0476298
+0.047189
+0.0468465
+0.0466046
+0.0464648
+0.0464281
+0.0464835
+0.0466331
+0.0468847
+0.0472366
+0.0476867
+0.0482322
+0.0488699
+0.0495962
+0.0504073
+0.0512993
+0.050265
+0.0490727
+0.0479504
+0.0468976
+0.0459253
+0.0450387
+0.0442362
+0.0435218
+0.0429073
+0.0423974
+0.0419956
+0.0417052
+0.0415284
+0.041454
+0.0414857
+0.0416329
+0.0418942
+0.0422675
+0.0427299
+0.0432968
+0.0439656
+0.0447318
+0.0452432
+0.0458013
+0.0464489
+0.0471894
+0.0480181
+0.0483772
+0.0486221
+0.048964
+0.0494007
+0.0499299
+0.0505484
+0.0512533
+0.0520335
+0.0528827
+0.0538077
+0.0548048
+0.0558699
+0.0569994
+0.0581895
+0.0594365
+0.060737
+0.0620869
+0.063479
+0.0649151
+0.0663925
+0.067403
+0.0676944
+0.068055
+0.0684839
+0.0689797
+0.0884917
+0.0869471
+0.0854308
+0.0839443
+0.0824892
+0.0810671
+0.07968
+0.0783295
+0.0770177
+0.0757465
+0.0745181
+0.0733329
+0.0721866
+0.0710704
+0.0694888
+0.067941
+0.0664294
+0.0649565
+0.063525
+0.0621378
+0.0607979
+0.0595085
+0.058273
+0.0570948
+0.0559775
+0.0549129
+0.0539113
+0.0529815
+0.0521272
+0.0513522
+0.0506602
+0.0500545
+0.0495384
+0.0491147
+0.0487857
+0.0485535
+0.0484193
+0.0483841
+0.0484378
+0.0485813
+0.0488229
+0.0491609
+0.0495936
+0.0501183
+0.0507323
+0.0514323
+0.0522149
+0.0524637
+0.0512289
+0.0500597
+0.0489599
+0.0479294
+0.0469784
+0.0461088
+0.045318
+0.0446208
+0.0440218
+0.0435248
+0.0431336
+0.0428509
+0.0426789
+0.0426039
+0.0426347
+0.0427779
+0.0430323
+0.043396
+0.0438555
+0.044408
+0.0450604
+0.045436
+0.0456353
+0.0459384
+0.0463376
+0.046831
+0.0472132
+0.047363
+0.0476132
+0.0479622
+0.048408
+0.0489479
+0.0495787
+0.0502971
+0.0510902
+0.0519566
+0.0528978
+0.0539116
+0.0549941
+0.0561412
+0.0573491
+0.058614
+0.0599323
+0.0612999
+0.0627095
+0.0641629
+0.0656572
+0.0671898
+0.0682774
+0.068635
+0.0690602
+0.0695186
+0.089911
+0.0883913
+0.0869002
+0.0854392
+0.08401
+0.0826142
+0.0812534
+0.0799295
+0.0786444
+0.0774
+0.0761982
+0.075033
+0.0739131
+0.0724377
+0.0708866
+0.06937
+0.0678902
+0.0664497
+0.0650511
+0.0636971
+0.0623907
+0.0611349
+0.0599329
+0.058788
+0.057698
+0.056661
+0.0556909
+0.0547913
+0.0539657
+0.0532175
+0.05255
+0.0519664
+0.0514694
+0.0510617
+0.0507454
+0.0505221
+0.0503932
+0.0503594
+0.0504114
+0.0505494
+0.0507816
+0.0511067
+0.051523
+0.0520282
+0.0526199
+0.0532952
+0.0540508
+0.0534777
+0.052267
+0.0511215
+0.0500451
+0.0490373
+0.0481081
+0.0472493
+0.0464779
+0.0457984
+0.0452149
+0.0447313
+0.0443506
+0.0440757
+0.0439048
+0.0438254
+0.0438554
+0.0439946
+0.044242
+0.0445958
+0.0445034
+0.0444008
+0.0443891
+0.0444853
+0.0446889
+0.0449983
+0.0454041
+0.0459075
+0.0462773
+0.0464301
+0.0466853
+0.0470412
+0.0474957
+0.0480458
+0.0486848
+0.0494038
+0.0502082
+0.0510939
+0.0520568
+0.0530925
+0.0541928
+0.0553565
+0.0565811
+0.0578628
+0.0591979
+0.060582
+0.0620079
+0.0634774
+0.0649875
+0.0665354
+0.0681187
+0.0692368
+0.0695784
+0.0699869
+0.0913609
+0.0898657
+0.0883994
+0.0869637
+0.0855599
+0.0841898
+0.0828549
+0.081557
+0.0802979
+0.0790795
+0.0778986
+0.076758
+0.0753986
+0.0738446
+0.0723237
+0.0708379
+0.0693894
+0.0679807
+0.0666142
+0.0652927
+0.0640188
+0.0627956
+0.061626
+0.0605131
+0.059445
+0.058439
+0.0574989
+0.056628
+0.0558296
+0.0551067
+0.0544623
+0.0538994
+0.0534205
+0.0530278
+0.0527232
+0.0525084
+0.0523844
+0.0523518
+0.0524024
+0.0525351
+0.0527585
+0.0530715
+0.0534725
+0.0539595
+0.0545303
+0.0551822
+0.055808
+0.054561
+0.0533748
+0.0522536
+0.051201
+0.0502164
+0.0492997
+0.048462
+0.0477102
+0.0470485
+0.0464808
+0.0460104
+0.0456404
+0.0453734
+0.0451974
+0.0451203
+0.0450973
+0.0445712
+0.0441476
+0.0438296
+0.0436194
+0.0435147
+0.0435028
+0.043601
+0.0438087
+0.0441243
+0.0445455
+0.0450693
+0.0454207
+0.0455763
+0.0458363
+0.0461988
+0.0466614
+0.0472179
+0.0478587
+0.04859
+0.0494076
+0.0503074
+0.051285
+0.0523362
+0.0534565
+0.0546363
+0.0558767
+0.0571742
+0.058525
+0.0599254
+0.061372
+0.0628608
+0.0643853
+0.0659474
+0.0675445
+0.069174
+0.070031
+0.0704369
+0.0928398
+0.0913688
+0.0899271
+0.0885161
+0.0871373
+0.0857924
+0.0844828
+0.0832104
+0.0819767
+0.0807814
+0.0796218
+0.07837
+0.0768137
+0.0752891
+0.0737979
+0.0723424
+0.0709246
+0.069547
+0.0682119
+0.0669219
+0.0656797
+0.064488
+0.0633496
+0.0622586
+0.0612205
+0.0602442
+0.0593327
+0.0584891
+0.0577164
+0.0570174
+0.056395
+0.0558515
+0.0553894
+0.0550108
+0.0547173
+0.0545103
+0.0543909
+0.0543595
+0.0544086
+0.0545365
+0.0547518
+0.0550534
+0.0554401
+0.05591
+0.056461
+0.0570908
+0.0569312
+0.0557093
+0.0545481
+0.0534515
+0.052423
+0.0514546
+0.0505577
+0.0497411
+0.049009
+0.0483651
+0.0478129
+0.0473558
+0.0469964
+0.046525
+0.0457013
+0.0449693
+0.0443335
+0.0437982
+0.0433671
+0.0430433
+0.0428293
+0.0427227
+0.0427105
+0.0428105
+0.0430221
+0.0433434
+0.0437721
+0.0443052
+0.044644
+0.0448024
+0.0450668
+0.0454354
+0.0459057
+0.0464691
+0.0471201
+0.0478626
+0.0486924
+0.0496052
+0.0505964
+0.0516581
+0.0527868
+0.0539809
+0.055236
+0.0565482
+0.0579136
+0.0593284
+0.0607893
+0.0622929
+0.0638364
+0.0654168
+0.0670315
+0.0686782
+0.0703501
+0.0709386
+0.0943464
+0.0928992
+0.0914816
+0.090095
+0.0887408
+0.0874205
+0.0861357
+0.084888
+0.083679
+0.0825025
+0.0813509
+0.0797927
+0.0782647
+0.0767688
+0.075307
+0.0738812
+0.0724935
+0.0711463
+0.0698418
+0.0685825
+0.0673709
+0.0662096
+0.0650981
+0.0640311
+0.0630222
+0.0620742
+0.06119
+0.0603724
+0.0596241
+0.0589477
+0.0583458
+0.0578207
+0.0573745
+0.057009
+0.0567259
+0.0565263
+0.0564111
+0.0563809
+0.0564286
+0.0565519
+0.0567596
+0.0570506
+0.0574238
+0.0578776
+0.0584101
+0.0590191
+0.0581153
+0.0569189
+0.0557829
+0.054711
+0.053694
+0.0527442
+0.0518696
+0.051074
+0.0503612
+0.0497348
+0.0488824
+0.0478175
+0.0468129
+0.0458898
+0.0450545
+0.0443118
+0.0436664
+0.0431229
+0.0426849
+0.0423559
+0.0421384
+0.0420301
+0.0420177
+0.0421193
+0.0423343
+0.0426608
+0.0430964
+0.0436377
+0.0439606
+0.0441214
+0.0443899
+0.0447641
+0.0452414
+0.0458128
+0.0464731
+0.0472258
+0.0480666
+0.0489897
+0.0499868
+0.0510585
+0.0522002
+0.0534073
+0.0546756
+0.056001
+0.0573794
+0.058807
+0.0602806
+0.0617966
+0.0633521
+0.0649439
+0.0665684
+0.0682246
+0.0699102
+0.0714001
+0.0958794
+0.0944557
+0.0930618
+0.0916991
+0.0903689
+0.0890728
+0.0878122
+0.0865886
+0.0853985
+0.0842455
+0.0827778
+0.0812468
+0.0797467
+0.0782792
+0.0768461
+0.0754494
+0.0740911
+0.0727734
+0.0714986
+0.070269
+0.069087
+0.0679551
+0.0668671
+0.0658287
+0.0648478
+0.0639269
+0.0630687
+0.0622757
+0.0615505
+0.0608956
+0.0603131
+0.0598053
+0.059374
+0.0590209
+0.0587475
+0.0585548
+0.0584436
+0.0584144
+0.0584609
+0.0585799
+0.0587804
+0.0590615
+0.0594221
+0.0598607
+0.0603757
+0.0604753
+0.0592596
+0.058101
+0.0570032
+0.0557854
+0.0545808
+0.053439
+0.052364
+0.05136
+0.0504312
+0.0495271
+0.0483776
+0.0473013
+0.0462854
+0.0453516
+0.0445062
+0.0437542
+0.0431005
+0.0425497
+0.0421058
+0.0417722
+0.0415516
+0.0414418
+0.0414292
+0.0415323
+0.0417503
+0.0420813
+0.0425228
+0.0430713
+0.0433771
+0.0435401
+0.0438121
+0.0441912
+0.0446746
+0.0452533
+0.0459215
+0.046681
+0.0475249
+0.0484531
+0.0494611
+0.0505439
+0.0516969
+0.0529156
+0.0541954
+0.0555322
+0.0569219
+0.0583608
+0.0598453
+0.0613711
+0.0629353
+0.064536
+0.0661705
+0.0678364
+0.0695314
+0.0712534
+0.0974375
+0.0960369
+0.0946663
+0.093327
+0.0920204
+0.0907478
+0.0895108
+0.0883081
+0.0871385
+0.085769
+0.0842355
+0.0827315
+0.0812588
+0.0798191
+0.0784141
+0.0770459
+0.0757162
+0.0744274
+0.0731814
+0.0719805
+0.070827
+0.0697233
+0.0686604
+0.0676495
+0.0666954
+0.0658003
+0.0649669
+0.0641974
+0.0634942
+0.0628595
+0.0622954
+0.0618038
+0.0613866
+0.0610452
+0.0607808
+0.0605946
+0.0604871
+0.0604589
+0.0605043
+0.0606193
+0.060813
+0.0610848
+0.0614335
+0.0618578
+0.0623029
+0.0608452
+0.0594206
+0.0580438
+0.0567181
+0.0554474
+0.0542354
+0.0530861
+0.0520038
+0.0509927
+0.0500571
+0.0491266
+0.0479675
+0.0468818
+0.0458567
+0.044914
+0.0440601
+0.0433003
+0.0426397
+0.0420829
+0.041634
+0.0412966
+0.0410735
+0.0409623
+0.0409496
+0.041054
+0.0412745
+0.0416093
+0.0420557
+0.0426102
+0.0428977
+0.0430625
+0.0433375
+0.0437207
+0.0442093
+0.0447851
+0.0454533
+0.0462158
+0.047068
+0.0480051
+0.0490222
+0.0501145
+0.0512772
+0.0525056
+0.0537952
+0.0551417
+0.056541
+0.0579894
+0.0594831
+0.061018
+0.062591
+0.0642003
+0.0658432
+0.0675171
+0.0692199
+0.0709495
+0.0990196
+0.0976417
+0.0962939
+0.0949776
+0.093694
+0.0924445
+0.0912301
+0.0900453
+0.0887675
+0.0872317
+0.0857244
+0.084247
+0.0828013
+0.0813888
+0.0800114
+0.0786709
+0.0773693
+0.0761084
+0.0748904
+0.0737173
+0.0725915
+0.0715141
+0.0704761
+0.0694917
+0.0685632
+0.0676929
+0.066883
+0.0661358
+0.0654534
+0.0648379
+0.0642912
+0.063815
+0.063411
+0.0630805
+0.0628247
+0.0626445
+0.0625406
+0.0625134
+0.0625576
+0.0626688
+0.0628563
+0.0631192
+0.0634567
+0.0635791
+0.0620774
+0.0606148
+0.0591846
+0.0578021
+0.0564708
+0.0551944
+0.0539767
+0.0528218
+0.051734
+0.0507175
+0.0497767
+0.0488213
+0.0476547
+0.0465617
+0.0455294
+0.0445798
+0.0437194
+0.0429536
+0.0422876
+0.041726
+0.0412733
+0.0409329
+0.0407078
+0.0405956
+0.0405828
+0.0406881
+0.0409105
+0.0412483
+0.0416986
+0.0422578
+0.0425104
+0.0426767
+0.0429542
+0.0433408
+0.0438336
+0.0444082
+0.045082
+0.0458506
+0.0467095
+0.0476536
+0.0486781
+0.049778
+0.0509484
+0.0521845
+0.0534818
+0.054836
+0.0562429
+0.0576988
+0.0591999
+0.0607418
+0.0623219
+0.0639379
+0.0655874
+0.0672677
+0.0689767
+0.0707122
+0.100441
+0.0992689
+0.0979435
+0.0966496
+0.0953885
+0.0941615
+0.0929644
+0.0917727
+0.0902348
+0.0887244
+0.0872429
+0.0857917
+0.0843724
+0.0829867
+0.0816363
+0.0803229
+0.0790484
+0.0778148
+0.0766239
+0.0754778
+0.0743786
+0.0733246
+0.0723126
+0.0713536
+0.0704496
+0.0696029
+0.0688155
+0.0680895
+0.0674269
+0.0668295
+0.0662992
+0.0658376
+0.0654461
+0.0651259
+0.0648782
+0.0647037
+0.0646031
+0.0645767
+0.0646199
+0.0647276
+0.0649091
+0.0651638
+0.0649781
+0.0634338
+0.0619286
+0.0604606
+0.0590284
+0.0576428
+0.0563077
+0.0550275
+0.053806
+0.0526474
+0.0515559
+0.0505358
+0.0495915
+0.0486128
+0.0474411
+0.0463431
+0.0453058
+0.0443514
+0.0434865
+0.0427165
+0.0420467
+0.0414819
+0.0410265
+0.0406841
+0.0404575
+0.0403447
+0.0403318
+0.0404377
+0.0406615
+0.0410014
+0.0414544
+0.0420168
+0.0422269
+0.0423943
+0.0426736
+0.0430627
+0.0435587
+0.0441369
+0.0448148
+0.0455879
+0.0464516
+0.0474009
+0.0484308
+0.0495361
+0.0507121
+0.0519538
+0.0532568
+0.0546165
+0.056029
+0.0574902
+0.0589966
+0.0605438
+0.0621288
+0.0637498
+0.065404
+0.0670889
+0.0688023
+0.0705421
+0.101591
+0.100917
+0.0996139
+0.098342
+0.0971029
+0.0958947
+0.0947175
+0.0932442
+0.091731
+0.0902456
+0.0887895
+0.087364
+0.0859706
+0.0846111
+0.083287
+0.0820001
+0.0807521
+0.0795449
+0.0783803
+0.0772603
+0.0761868
+0.0751554
+0.0741684
+0.0732336
+0.0723532
+0.071529
+0.070763
+0.0700572
+0.0694134
+0.0688333
+0.0683185
+0.0678706
+0.0674909
+0.0671805
+0.0669404
+0.0667713
+0.0666738
+0.0666482
+0.0666905
+0.0667948
+0.0669707
+0.0664921
+0.0649099
+0.063364
+0.0618503
+0.0603719
+0.0589378
+0.0575515
+0.0562163
+0.054936
+0.0537146
+0.0525562
+0.0514625
+0.0504402
+0.0494938
+0.0485025
+0.0473281
+0.0462184
+0.0451771
+0.0442199
+0.0433524
+0.04258
+0.0419081
+0.0413414
+0.0408844
+0.0405407
+0.0403134
+0.0401892
+0.0401762
+0.0402826
+0.0405073
+0.0408484
+0.041303
+0.0418675
+0.0420558
+0.0422238
+0.0425043
+0.0428949
+0.0433928
+0.0439732
+0.0446536
+0.0454295
+0.0462961
+0.0472485
+0.0482816
+0.0493903
+0.0505697
+0.0518148
+0.0531212
+0.0544843
+0.0559001
+0.0573646
+0.0588743
+0.0604245
+0.0620127
+0.0636366
+0.0652936
+0.0669813
+0.0686974
+0.0704398
+0.102758
+0.102405
+0.101304
+0.100054
+0.0988353
+0.0976443
+0.0962592
+0.0947435
+0.0932546
+0.0917939
+0.0903627
+0.0889624
+0.0875945
+0.0862606
+0.0849622
+0.0837011
+0.0824788
+0.0812972
+0.0801581
+0.0790632
+0.0780146
+0.077005
+0.076042
+0.0751306
+0.0742726
+0.0734699
+0.0727244
+0.0720378
+0.0714118
+0.0708481
+0.0703481
+0.0699132
+0.0695446
+0.0692434
+0.0690105
+0.0688465
+0.068752
+0.0687272
+0.0687684
+0.0688696
+0.0681134
+0.0664977
+0.0649156
+0.0633612
+0.0618413
+0.0603627
+0.0589284
+0.0575418
+0.0562064
+0.0549259
+0.0537043
+0.0525456
+0.0514516
+0.0504291
+0.0494826
+0.048491
+0.0473068
+0.0461863
+0.0451443
+0.0441864
+0.0433182
+0.0425452
+0.0418726
+0.0413055
+0.0408481
+0.0405041
+0.0402766
+0.0401523
+0.0401393
+0.0402457
+0.0404706
+0.040812
+0.0412671
+0.0418321
+0.0419984
+0.0421667
+0.0424475
+0.0428387
+0.0433372
+0.0439183
+0.0445995
+0.0453763
+0.046244
+0.0471974
+0.0482316
+0.0493414
+0.0505219
+0.0517683
+0.0530757
+0.05444
+0.0558569
+0.0573226
+0.0588333
+0.0603846
+0.0619737
+0.0635987
+0.0652567
+0.0669453
+0.0686623
+0.0704056
+0.103957
+0.103609
+0.103013
+0.101784
+0.100581
+0.0992792
+0.0977613
+0.0962693
+0.0948044
+0.0933679
+0.0919612
+0.0905856
+0.0892426
+0.0879337
+0.0866604
+0.0854243
+0.0842271
+0.0830703
+0.0819559
+0.0808854
+0.0798606
+0.078872
+0.0779321
+0.077043
+0.0762066
+0.0754245
+0.0746985
+0.0740302
+0.0734212
+0.072873
+0.072387
+0.0719645
+0.0716064
+0.071314
+0.0710878
+0.0709286
+0.0708369
+0.0708128
+0.0708532
+0.069833
+0.068188
+0.0665745
+0.0649848
+0.0634281
+0.0619099
+0.0604329
+0.0590003
+0.0576155
+0.0562818
+0.0550031
+0.0537832
+0.0526263
+0.051534
+0.0505132
+0.0495682
+0.0485596
+0.0473769
+0.046258
+0.0452176
+0.0442613
+0.0433946
+0.042623
+0.0419517
+0.0413857
+0.0409291
+0.0405859
+0.0403588
+0.0402347
+0.0402218
+0.040328
+0.0405525
+0.0408932
+0.0413474
+0.0419112
+0.0420552
+0.0422232
+0.0425037
+0.0428943
+0.0433922
+0.0439726
+0.044653
+0.0454289
+0.0462956
+0.047248
+0.0482811
+0.0493898
+0.0505691
+0.0518143
+0.0531207
+0.0544839
+0.0558996
+0.0573642
+0.0588738
+0.0604241
+0.0620122
+0.0636362
+0.0652932
+0.0669809
+0.068697
+0.0704395
+0.105189
+0.104844
+0.104538
+0.103528
+0.102304
+0.100784
+0.0992891
+0.0978203
+0.096379
+0.0949664
+0.0935837
+0.0922323
+0.0909137
+0.0896291
+0.0883803
+0.0871686
+0.0859956
+0.084863
+0.0837724
+0.0827254
+0.0817215
+0.0807554
+0.0798376
+0.07897
+0.0781542
+0.0773918
+0.0766844
+0.0760335
+0.0754407
+0.0749073
+0.0744346
+0.0740237
+0.0736757
+0.0733915
+0.0731717
+0.0730171
+0.072928
+0.0729046
+0.0716335
+0.0699623
+0.0683204
+0.0667101
+0.0651237
+0.0635705
+0.0620557
+0.0605823
+0.0591534
+0.0577722
+0.0564422
+0.0551672
+0.053951
+0.0527978
+0.0517092
+0.0506919
+0.0497503
+0.0487264
+0.0475478
+0.0464331
+0.0453967
+0.0444443
+0.0435812
+0.042813
+0.0421447
+0.0415813
+0.0411269
+0.0407853
+0.0405594
+0.0404359
+0.040423
+0.0405287
+0.0407521
+0.0410911
+0.0415431
+0.0421044
+0.0422047
+0.0423722
+0.0426517
+0.043041
+0.0435372
+0.0441348
+0.0448127
+0.0455859
+0.0464497
+0.047399
+0.0484288
+0.0495342
+0.0507102
+0.051952
+0.053255
+0.0546148
+0.0560273
+0.0574886
+0.0589951
+0.0605429
+0.062128
+0.063749
+0.0654032
+0.0670881
+0.0688016
+0.0705414
+0.106451
+0.106111
+0.105808
+0.105287
+0.103811
+0.102314
+0.100841
+0.0993955
+0.0979773
+0.0965881
+0.0952289
+0.0939012
+0.0926063
+0.0913456
+0.0901205
+0.0889326
+0.0877832
+0.0866739
+0.0856064
+0.0845821
+0.0835981
+0.0826538
+0.0817574
+0.0809103
+0.0801143
+0.0793707
+0.0786811
+0.0780469
+0.0774696
+0.0769502
+0.0764901
+0.0760903
+0.0757518
+0.0754754
+0.0752617
+0.0751114
+0.0750248
+0.0735205
+0.0718264
+0.0701598
+0.0685226
+0.0669172
+0.0653359
+0.0637878
+0.0622784
+0.0608104
+0.0593869
+0.0580112
+0.0566869
+0.0554175
+0.054207
+0.0530593
+0.0519761
+0.0509641
+0.0500277
+0.0489907
+0.0478187
+0.0467104
+0.0456803
+0.0447339
+0.0438765
+0.0431136
+0.04245
+0.0418907
+0.0414397
+0.0411007
+0.0408765
+0.040754
+0.0407412
+0.0408461
+0.0410677
+0.0414042
+0.0418528
+0.04241
+0.0424659
+0.0426323
+0.0429101
+0.0432971
+0.0437904
+0.0443787
+0.045053
+0.0458221
+0.0466815
+0.0476262
+0.0486512
+0.0497517
+0.0509227
+0.0521594
+0.0534574
+0.0548121
+0.0562197
+0.0576761
+0.0591778
+0.0607213
+0.0623037
+0.063922
+0.0655736
+0.067256
+0.0689669
+0.0707043
+0.107743
+0.107407
+0.107108
+0.106842
+0.105342
+0.103867
+0.102417
+0.100994
+0.0995982
+0.0982319
+0.0968958
+0.0955912
+0.0943195
+0.093082
+0.0918801
+0.0907152
+0.0895886
+0.088502
+0.0874568
+0.0864544
+0.0854894
+0.0845663
+0.0836903
+0.082863
+0.0820859
+0.0813603
+0.0806878
+0.0800695
+0.0795068
+0.0790008
+0.0785528
+0.0781635
+0.077834
+0.077565
+0.0773571
+0.0772109
+0.0754875
+0.0737735
+0.0720854
+0.0704249
+0.0687941
+0.0671951
+0.0656206
+0.0640794
+0.0625769
+0.0611161
+0.0596999
+0.0583317
+0.0570147
+0.0557527
+0.0545472
+0.0534044
+0.0523284
+0.0513233
+0.0503935
+0.049351
+0.0481876
+0.047088
+0.0460664
+0.0451281
+0.0442784
+0.0435225
+0.0428653
+0.0423114
+0.041865
+0.0415295
+0.0413076
+0.0411864
+0.0411737
+0.0412775
+0.0414968
+0.0418298
+0.0422739
+0.0427843
+0.0428376
+0.0430026
+0.043278
+0.0436617
+0.044151
+0.0447287
+0.0453978
+0.0461612
+0.0470143
+0.0479525
+0.0489707
+0.0500642
+0.051228
+0.0524575
+0.0537483
+0.0550959
+0.0564964
+0.0579458
+0.0594407
+0.0609776
+0.0625535
+0.0641655
+0.065811
+0.0674874
+0.0691926
+0.0709245
+0.108958
+0.108728
+0.108431
+0.108177
+0.106896
+0.105443
+0.104015
+0.102614
+0.101241
+0.0998966
+0.0985831
+0.0973012
+0.0960522
+0.0948373
+0.0936579
+0.0925153
+0.091411
+0.0903463
+0.0893226
+0.0883406
+0.0873928
+0.08649
+0.0856337
+0.0848254
+0.0840664
+0.0833581
+0.0827018
+0.0820986
+0.0815499
+0.0810568
+0.0806201
+0.0802409
+0.07992
+0.079658
+0.0792824
+0.0775285
+0.0757973
+0.0740905
+0.0724097
+0.0707568
+0.0691339
+0.0675429
+0.0659768
+0.0644441
+0.0629504
+0.0614984
+0.0600904
+0.058729
+0.0574189
+0.0561638
+0.0549673
+0.0538334
+0.0527661
+0.0517696
+0.050848
+0.049805
+0.0486526
+0.0475637
+0.0465526
+0.0456242
+0.0447839
+0.0440367
+0.0433873
+0.0428401
+0.0423993
+0.042068
+0.041849
+0.0417294
+0.0417169
+0.0418193
+0.0420358
+0.0423646
+0.0428031
+0.0432643
+0.0433171
+0.0434803
+0.0437527
+0.0441323
+0.0446163
+0.0451824
+0.0458448
+0.0466009
+0.0474461
+0.0483759
+0.0493854
+0.0504699
+0.0516246
+0.0528449
+0.0541264
+0.0554648
+0.0568562
+0.0582967
+0.0597828
+0.0613112
+0.0628787
+0.0644826
+0.0661201
+0.0677889
+0.0694867
+0.0712114
+0.110094
+0.109875
+0.109699
+0.109528
+0.108472
+0.10704
+0.105634
+0.104254
+0.102903
+0.101581
+0.10029
+0.0990301
+0.0978031
+0.0966103
+0.0954528
+0.094332
+0.0932491
+0.0922057
+0.0912029
+0.0902371
+0.0893093
+0.0884261
+0.0875888
+0.0867987
+0.0860571
+0.0853653
+0.0847245
+0.0841359
+0.0836006
+0.0831195
+0.0826938
+0.0823241
+0.0820113
+0.0814051
+0.0796377
+0.0778918
+0.0761689
+0.0744706
+0.0727986
+0.0711547
+0.069541
+0.0679597
+0.0664034
+0.0648794
+0.0633939
+0.0619502
+0.0605513
+0.0592005
+0.0579011
+0.0566566
+0.0554708
+0.0543474
+0.0532904
+0.0523038
+0.0513918
+0.0503504
+0.0492107
+0.0481345
+0.0471356
+0.046219
+0.0453897
+0.0446525
+0.0440122
+0.043473
+0.0430386
+0.0427123
+0.0424966
+0.0423788
+0.0423665
+0.0424673
+0.0426805
+0.0430044
+0.0434365
+0.0438487
+0.0439007
+0.0440618
+0.0443306
+0.0447053
+0.0451789
+0.0457366
+0.0463911
+0.0471384
+0.0479742
+0.0488939
+0.0498929
+0.0509666
+0.0521103
+0.0533195
+0.0545898
+0.0559172
+0.0572976
+0.0587273
+0.0602027
+0.0617207
+0.0632781
+0.0648721
+0.0665001
+0.0681596
+0.0698483
+0.0715643
+0.111256
+0.11104
+0.110866
+0.110734
+0.11007
+0.108658
+0.107273
+0.105915
+0.104585
+0.103285
+0.102015
+0.100777
+0.0995715
+0.0984001
+0.0972639
+0.0961642
+0.0951023
+0.0940793
+0.0930967
+0.0921466
+0.0912383
+0.0903739
+0.0895547
+0.0887821
+0.0880573
+0.0873813
+0.0867554
+0.0861807
+0.0856581
+0.0851887
+0.0847734
+0.0844128
+0.0835888
+0.0818099
+0.0800514
+0.0783148
+0.0766014
+0.0749129
+0.0732508
+0.071617
+0.0700135
+0.0684422
+0.0668932
+0.06538
+0.0639061
+0.0624742
+0.0610874
+0.0597487
+0.0584614
+0.0572291
+0.0560554
+0.054944
+0.0538987
+0.0529235
+0.0520223
+0.0509842
+0.0498589
+0.048797
+0.0478119
+0.0469086
+0.0460917
+0.045366
+0.0447358
+0.0442054
+0.0437783
+0.0434576
+0.0432456
+0.0431298
+0.0431177
+0.0432168
+0.0434264
+0.0437447
+0.0441696
+0.0445333
+0.0445845
+0.0447431
+0.0450079
+0.0453769
+0.0458379
+0.0463877
+0.0470331
+0.0477704
+0.0485953
+0.0495035
+0.0504905
+0.0515517
+0.0526827
+0.053879
+0.0551365
+0.056451
+0.0578186
+0.0592357
+0.0606989
+0.0622047
+0.0637503
+0.0653328
+0.0669495
+0.0685982
+0.0702764
+0.0719822
+0.112449
+0.112235
+0.112063
+0.111933
+0.111687
+0.110296
+0.108932
+0.107595
+0.106286
+0.105007
+0.103758
+0.102541
+0.101356
+0.100206
+0.0990904
+0.0980112
+0.0969695
+0.0959664
+0.0950002
+0.0940684
+0.0931787
+0.0923325
+0.0915309
+0.0907751
+0.0900663
+0.0894056
+0.0887939
+0.0882325
+0.0877221
+0.0872639
+0.0868584
+0.0858283
+0.0840393
+0.0822698
+0.080521
+0.0787944
+0.0770913
+0.0754133
+0.0737623
+0.07214
+0.0705485
+0.0689873
+0.06745
+0.0659496
+0.0644887
+0.06307
+0.0616966
+0.0603714
+0.0590977
+0.057879
+0.0567187
+0.0556205
+0.0545882
+0.0536255
+0.0527363
+0.051703
+0.0505938
+0.0495476
+0.0485778
+0.0476889
+0.0468856
+0.0461724
+0.0455534
+0.0450326
+0.0446135
+0.0442988
+0.0440908
+0.0439773
+0.0439654
+0.0440626
+0.0442681
+0.0445805
+0.0449974
+0.0453037
+0.045354
+0.0455099
+0.0457702
+0.0461332
+0.0465907
+0.0471317
+0.0477671
+0.0484932
+0.049306
+0.0502014
+0.0511749
+0.0522222
+0.053339
+0.0545209
+0.0557639
+0.057064
+0.0584173
+0.0598202
+0.0612693
+0.0627615
+0.0642937
+0.0658631
+0.0674672
+0.0691035
+0.0707697
+0.0724639
+0.113672
+0.11346
+0.11329
+0.113162
+0.11307
+0.111953
+0.110609
+0.109293
+0.108005
+0.106746
+0.105518
+0.104321
+0.103157
+0.102027
+0.100931
+0.099872
+0.0988499
+0.0978662
+0.0969149
+0.0960016
+0.0951301
+0.0943014
+0.0935167
+0.0927771
+0.0920836
+0.0914375
+0.0908395
+0.0902908
+0.0897921
+0.0893445
+0.0881179
+0.0863208
+0.0845423
+0.0827836
+0.0810459
+0.0793306
+0.0776393
+0.0759734
+0.0743348
+0.0727253
+0.0711469
+0.0695963
+0.0680727
+0.0665863
+0.0651397
+0.0637356
+0.0623768
+0.0610664
+0.0598075
+0.0586035
+0.0574579
+0.0563741
+0.0553558
+0.0544067
+0.0535305
+0.0525035
+0.0514116
+0.0503824
+0.0494289
+0.0485556
+0.0477669
+0.047067
+0.04646
+0.0459495
+0.0455387
+0.0452305
+0.0450268
+0.0449157
+0.0449041
+0.0449992
+0.0452005
+0.0455064
+0.045915
+0.0461573
+0.0462067
+0.0463597
+0.0466153
+0.0469718
+0.0474268
+0.0479643
+0.0485888
+0.0493028
+0.0501026
+0.0509839
+0.0519427
+0.0529749
+0.0540761
+0.0552423
+0.0564694
+0.0577536
+0.0590911
+0.0604784
+0.0619121
+0.0633892
+0.0649065
+0.0664615
+0.0680515
+0.069674
+0.071327
+0.0730082
+0.114924
+0.114714
+0.114545
+0.114419
+0.114329
+0.113628
+0.112304
+0.111008
+0.10974
+0.108501
+0.107293
+0.106116
+0.104972
+0.103862
+0.102786
+0.101746
+0.100743
+0.0997764
+0.098841
+0.0979457
+0.0970917
+0.0962798
+0.0955114
+0.0947873
+0.0941087
+0.0934765
+0.0928917
+0.0923552
+0.0918678
+0.0904557
+0.0886519
+0.0868658
+0.0850987
+0.0833517
+0.0816261
+0.0799233
+0.0782448
+0.0765921
+0.0749671
+0.0733714
+0.0718065
+0.0702684
+0.0687597
+0.0672885
+0.0658573
+0.0644688
+0.0631258
+0.0618312
+0.0605882
+0.0594001
+0.0582701
+0.0572017
+0.0561984
+0.0552638
+0.0544014
+0.053382
+0.0523084
+0.0512972
+0.050361
+0.0495042
+0.0487308
+0.048045
+0.0474505
+0.0469507
+0.0465488
+0.0462473
+0.0460481
+0.0459394
+0.0459281
+0.0460211
+0.0462179
+0.0465172
+0.046917
+0.0470974
+0.0471458
+0.0472958
+0.0475464
+0.0478959
+0.0483423
+0.048881
+0.049494
+0.0501951
+0.0509808
+0.0518472
+0.0527904
+0.0538063
+0.0548908
+0.0560401
+0.0572501
+0.0585171
+0.0598376
+0.061208
+0.062625
+0.0640856
+0.0655869
+0.0671261
+0.0687007
+0.0703082
+0.0719466
+0.0736137
+0.116203
+0.115995
+0.115829
+0.115704
+0.115617
+0.11532
+0.114016
+0.112739
+0.111491
+0.110272
+0.109084
+0.107926
+0.106802
+0.10571
+0.104654
+0.103632
+0.102648
+0.101696
+0.100778
+0.0999001
+0.0990628
+0.0982673
+0.0975145
+0.0968054
+0.0961411
+0.0955223
+0.0949501
+0.0944253
+0.092838
+0.0910287
+0.0892365
+0.0874624
+0.0857075
+0.0839732
+0.0822606
+0.0805712
+0.0789065
+0.077268
+0.0756557
+0.0740708
+0.0725175
+0.0709958
+0.0695029
+0.0680478
+0.0666329
+0.0652609
+0.0639345
+0.0626567
+0.0614304
+0.0602588
+0.0591453
+0.058093
+0.0571053
+0.0561858
+0.0553378
+0.0543346
+0.0532802
+0.0522878
+0.0513697
+0.05053
+0.0497725
+0.0491013
+0.0485197
+0.0480311
+0.0476383
+0.0473437
+0.0471491
+0.047043
+0.0470319
+0.0471228
+0.047315
+0.0476074
+0.0479981
+0.0481189
+0.0481663
+0.0483132
+0.0485585
+0.0489008
+0.0493381
+0.0498678
+0.050478
+0.0511657
+0.0519367
+0.0527874
+0.0537141
+0.0547128
+0.0557797
+0.056911
+0.0581029
+0.0593518
+0.060654
+0.0620064
+0.0634056
+0.0648486
+0.0663326
+0.0678549
+0.0694129
+0.0710044
+0.0726271
+0.0742789
+0.117509
+0.117304
+0.117139
+0.117016
+0.116931
+0.116881
+0.115744
+0.114487
+0.113258
+0.112058
+0.110888
+0.10975
+0.108645
+0.107572
+0.106534
+0.105531
+0.104564
+0.103625
+0.102725
+0.101864
+0.101043
+0.100263
+0.0995255
+0.0988309
+0.0981802
+0.0975744
+0.0970143
+0.0952615
+0.0934478
+0.0916505
+0.0898706
+0.0881093
+0.0863676
+0.0846468
+0.0829482
+0.0812731
+0.0796203
+0.0779929
+0.0763937
+0.0748245
+0.0732871
+0.0717817
+0.0703055
+0.0688673
+0.0674696
+0.066115
+0.0648061
+0.0635458
+0.062337
+0.0611828
+0.0600864
+0.0590509
+0.0580795
+0.0571757
+0.0563426
+0.0553568
+0.0543141
+0.0533402
+0.0524399
+0.0516168
+0.0508749
+0.0502176
+0.0496483
+0.0491702
+0.0487858
+0.0484974
+0.0483068
+0.0482045
+0.0481937
+0.0482824
+0.04847
+0.0487555
+0.049137
+0.0492168
+0.0492632
+0.0494067
+0.0496466
+0.0499815
+0.0504094
+0.0509281
+0.0515346
+0.0522101
+0.052966
+0.0538004
+0.0547099
+0.0556908
+0.0567393
+0.0578519
+0.0590248
+0.0602545
+0.0615377
+0.062871
+0.0642514
+0.0656758
+0.0671416
+0.0686459
+0.0701864
+0.0717607
+0.0733666
+0.0750022
+0.118842
+0.118639
+0.118476
+0.118353
+0.11827
+0.118221
+0.117487
+0.116249
+0.115039
+0.113858
+0.112707
+0.111588
+0.1105
+0.109446
+0.108425
+0.10744
+0.106487
+0.105566
+0.104682
+0.103837
+0.103032
+0.102267
+0.101544
+0.100863
+0.100226
+0.0995555
+0.0977232
+0.0959059
+0.0941046
+0.0923201
+0.0905534
+0.0888056
+0.0870779
+0.0853712
+0.0836839
+0.0820201
+0.0803816
+0.07877
+0.0771868
+0.075634
+0.0741135
+0.0726252
+0.0711665
+0.0697461
+0.0683664
+0.0670299
+0.0657392
+0.0644971
+0.0633065
+0.0621703
+0.0610916
+0.0600734
+0.0591189
+0.0582312
+0.0574134
+0.0564307
+0.0554074
+0.0544531
+0.0535715
+0.0527661
+0.0520405
+0.0513981
+0.0508421
+0.0503753
+0.0500001
+0.0497188
+0.0495329
+0.0494328
+0.0494222
+0.0495087
+0.0496917
+0.0499702
+0.0503425
+0.0503861
+0.0504314
+0.0505716
+0.050806
+0.0511333
+0.0515517
+0.0520589
+0.0526525
+0.0533242
+0.0540645
+0.0548822
+0.0557741
+0.0567366
+0.0577661
+0.0588593
+0.0600125
+0.0612224
+0.0624857
+0.0637992
+0.0651599
+0.0665649
+0.0680115
+0.069497
+0.071019
+0.0725753
+0.0741636
+0.0757819
+0.120199
+0.119998
+0.119837
+0.119716
+0.119634
+0.119585
+0.119246
+0.118025
+0.116834
+0.115671
+0.114539
+0.113437
+0.112368
+0.111331
+0.110328
+0.10936
+0.10842
+0.107515
+0.106648
+0.105819
+0.105029
+0.104279
+0.103569
+0.102902
+0.102055
+0.10022
+0.0984002
+0.0965957
+0.0948075
+0.0930364
+0.0912836
+0.0895492
+0.0878327
+0.0861376
+0.0844654
+0.0828173
+0.0811949
+0.0795997
+0.0780334
+0.0764978
+0.0749948
+0.0735244
+0.0720838
+0.0706819
+0.0693208
+0.068003
+0.0667312
+0.0655079
+0.064336
+0.0632183
+0.0621578
+0.0611573
+0.06022
+0.0593488
+0.0585466
+0.0575672
+0.0565645
+0.05563
+0.0547673
+0.0539798
+0.0532707
+0.0526434
+0.0521006
+0.0516452
+0.0512794
+0.0510051
+0.0508238
+0.0507259
+0.0507156
+0.0507999
+0.0509783
+0.0512498
+0.0516129
+0.0516219
+0.0516661
+0.051803
+0.0520319
+0.0523515
+0.0527602
+0.0532559
+0.0538363
+0.0544987
+0.0552281
+0.0560288
+0.0569027
+0.0578464
+0.0588566
+0.0599298
+0.0610628
+0.0622523
+0.0634951
+0.0647882
+0.0661286
+0.0675134
+0.0689401
+0.070406
+0.0719088
+0.0734462
+0.0750161
+0.0766164
+0.121581
+0.121382
+0.121223
+0.121104
+0.121022
+0.120974
+0.120965
+0.119816
+0.118642
+0.117497
+0.116383
+0.115299
+0.114247
+0.113227
+0.112241
+0.111287
+0.110363
+0.109474
+0.108622
+0.107808
+0.107033
+0.106297
+0.105601
+0.104586
+0.10275
+0.100928
+0.0991211
+0.0973299
+0.0955554
+0.0937968
+0.0920552
+0.0903331
+0.0886317
+0.0869522
+0.085296
+0.0836643
+0.0820586
+0.0804806
+0.0789317
+0.077414
+0.0759291
+0.0744771
+0.0730554
+0.0716724
+0.0703305
+0.069032
+0.0677795
+0.0665755
+0.0654227
+0.0643239
+0.0632819
+0.0622995
+0.0613796
+0.0605251
+0.0597387
+0.0587634
+0.0577815
+0.056867
+0.0560234
+0.0552537
+0.0545612
+0.0539489
+0.0534194
+0.0529753
+0.0526187
+0.0523515
+0.0521749
+0.0520791
+0.0520691
+0.0521512
+0.052325
+0.0525895
+0.0529434
+0.0529196
+0.0529627
+0.0530963
+0.0533196
+0.0536315
+0.0540305
+0.0545147
+0.0550818
+0.0557294
+0.0564527
+0.0572363
+0.0580921
+0.0590168
+0.0600072
+0.0610602
+0.0621726
+0.0633413
+0.0645631
+0.0658352
+0.0671547
+0.0685188
+0.069925
+0.0713707
+0.0728536
+0.0743714
+0.0759222
+0.0775038
+0.122986
+0.12279
+0.122633
+0.122514
+0.122434
+0.122386
+0.122378
+0.121619
+0.120463
+0.119336
+0.118239
+0.117172
+0.116137
+0.115134
+0.114164
+0.113223
+0.112315
+0.111442
+0.110605
+0.109806
+0.109044
+0.108322
+0.107147
+0.10531
+0.103487
+0.101678
+0.0998848
+0.0981051
+0.0963417
+0.0945962
+0.0928696
+0.0911629
+0.0894773
+0.087814
+0.0861743
+0.0845595
+0.0829712
+0.0814108
+0.0798801
+0.0783807
+0.0769144
+0.0754814
+0.0740789
+0.0727154
+0.0713931
+0.0701143
+0.0688815
+0.0676971
+0.0665638
+0.0654841
+0.0644608
+0.0634967
+0.0625944
+0.0617567
+0.0609862
+0.0600158
+0.0590547
+0.0581602
+0.0573356
+0.0565838
+0.0559078
+0.0553104
+0.054794
+0.0543612
+0.0540137
+0.0537534
+0.0535815
+0.0534879
+0.0534781
+0.0535581
+0.0537273
+0.0539849
+0.0543199
+0.0542736
+0.0543156
+0.0544459
+0.0546637
+0.054968
+0.0553573
+0.05583
+0.0563839
+0.0570167
+0.0577257
+0.058501
+0.0593385
+0.0602441
+0.0612147
+0.0622473
+0.0633388
+0.0644863
+0.0656869
+0.0669376
+0.0682358
+0.0695787
+0.0709639
+0.0723888
+0.0738513
+0.075349
+0.0768801
+0.0784424
+0.124414
+0.12422
+0.124065
+0.123948
+0.123868
+0.123821
+0.123813
+0.123435
+0.122296
+0.121186
+0.120106
+0.119056
+0.118037
+0.117051
+0.116095
+0.115168
+0.114275
+0.113417
+0.112595
+0.11181
+0.111063
+0.109736
+0.107898
+0.106074
+0.104264
+0.102466
+0.100684
+0.0989182
+0.0971696
+0.0954392
+0.0937281
+0.0920373
+0.0903681
+0.0887215
+0.0870988
+0.0855016
+0.0839311
+0.0823889
+0.0808766
+0.079396
+0.0779489
+0.0765353
+0.0751525
+0.0738088
+0.0725064
+0.0712476
+0.0700347
+0.0688702
+0.0677564
+0.0666961
+0.0656917
+0.0647459
+0.0638613
+0.0630404
+0.0622857
+0.0613208
+0.0603805
+0.059506
+0.0587003
+0.0579662
+0.0573065
+0.0567238
+0.0562205
+0.0557987
+0.0554602
+0.0552067
+0.0550393
+0.0549478
+0.0549384
+0.0550162
+0.0551809
+0.0554318
+0.0557251
+0.0556799
+0.0557209
+0.0558479
+0.0560602
+0.056357
+0.0567368
+0.0571981
+0.0577389
+0.058357
+0.0590499
+0.059815
+0.0606385
+0.0615249
+0.0624756
+0.0634877
+0.0645583
+0.0656845
+0.0668635
+0.0680927
+0.0693692
+0.0706906
+0.0720544
+0.0734582
+0.0748998
+0.076377
+0.0778878
+0.0794303
+0.109768
+0.108545
+0.107353
+0.106191
+0.104997
+0.103767
+0.102569
+0.101405
+0.100268
+0.0991615
+0.0980467
+0.0969662
+0.0959162
+0.0949052
+0.0939344
+0.0929333
+0.0919557
+0.090975
+0.0900256
+0.0891147
+0.0882488
+0.0874292
+0.0866572
+0.0859023
+0.0851194
+0.084376
+0.0836357
+0.0829041
+0.0821699
+0.0811561
+0.0801892
+0.0792688
+0.0783657
+0.0775139
+0.0767153
+0.0759715
+0.0752581
+0.0741668
+0.0731248
+0.0721344
+0.0711976
+0.0703166
+0.0694935
+0.0686312
+0.0678003
+0.0670275
+0.0663131
+0.0656578
+0.0650618
+0.0645316
+0.0640607
+0.0636503
+0.0633097
+0.0630435
+0.062349
+0.0616185
+0.0609581
+0.06037
+0.0598564
+0.0594191
+0.0590584
+0.0587629
+0.058548
+0.0582239
+0.0579323
+0.0577225
+0.0575953
+0.057445
+0.0570467
+0.0567215
+0.0564225
+0.0562074
+0.0560631
+0.0560016
+0.0559742
+0.0560178
+0.0561469
+0.0563484
+0.0565956
+0.056913
+0.0572669
+0.0576652
+0.0581273
+0.0586647
+0.0588779
+0.0590877
+0.0593776
+0.0597465
+0.0601929
+0.0607152
+0.0613046
+0.0619575
+0.0626802
+0.0634704
+0.0643254
+0.0652429
+0.0662201
+0.0672546
+0.0683436
+0.0694846
+0.10854
+0.107303
+0.106097
+0.104923
+0.10378
+0.10257
+0.101358
+0.10018
+0.0990346
+0.0979193
+0.096814
+0.095722
+0.094668
+0.0936454
+0.0926614
+0.0916929
+0.090702
+0.0897383
+0.0887777
+0.0878573
+0.0869789
+0.0861472
+0.0853636
+0.0846245
+0.083847
+0.0830922
+0.0823786
+0.0816357
+0.0809453
+0.0799997
+0.0790187
+0.0780845
+0.0771675
+0.0763024
+0.075491
+0.0746671
+0.0735017
+0.072384
+0.071316
+0.0703001
+0.0693385
+0.0684335
+0.0675875
+0.0666777
+0.0658222
+0.065029
+0.0642925
+0.063621
+0.0630058
+0.0624612
+0.0619751
+0.0615539
+0.0612017
+0.0609262
+0.0605694
+0.0598172
+0.0591367
+0.0585303
+0.0580004
+0.057549
+0.057178
+0.0568741
+0.056652
+0.0564203
+0.0561193
+0.0559027
+0.0557713
+0.0555253
+0.0551132
+0.0547838
+0.0544742
+0.0542514
+0.0541071
+0.0540434
+0.0540247
+0.0540698
+0.0542036
+0.0544068
+0.0546644
+0.0549932
+0.0553546
+0.055765
+0.0562426
+0.0567934
+0.057056
+0.0572725
+0.0575716
+0.057952
+0.0584121
+0.0589501
+0.0595619
+0.0602337
+0.0609769
+0.0617888
+0.0626669
+0.0636083
+0.0646102
+0.06567
+0.0667849
+0.0679521
+0.107343
+0.106092
+0.104872
+0.103684
+0.102529
+0.101406
+0.10018
+0.0989875
+0.0978295
+0.0967059
+0.0956136
+0.0945098
+0.0934421
+0.0924141
+0.0914232
+0.090468
+0.0894843
+0.0885229
+0.0875648
+0.0866354
+0.0857455
+0.0849017
+0.0841065
+0.0833614
+0.0826131
+0.0818468
+0.0811325
+0.080407
+0.0797059
+0.0788872
+0.0778922
+0.0769444
+0.0760136
+0.0751352
+0.0742002
+0.0729623
+0.0717693
+0.0706241
+0.0695291
+0.0684867
+0.0674993
+0.0665693
+0.0656822
+0.0647394
+0.0638579
+0.0630402
+0.0622833
+0.0615919
+0.0609591
+0.0603962
+0.0598971
+0.0594644
+0.0590997
+0.0588144
+0.058605
+0.0580427
+0.0573411
+0.0567155
+0.0561684
+0.0557022
+0.0553189
+0.0550077
+0.0547699
+0.0546101
+0.0543342
+0.0541104
+0.0539746
+0.0536264
+0.0531996
+0.0528602
+0.052545
+0.052314
+0.0521698
+0.0521037
+0.0520943
+0.0521411
+0.0522798
+0.0524847
+0.0527515
+0.0530895
+0.0534637
+0.0538841
+0.0543783
+0.0549457
+0.055261
+0.0554844
+0.0557931
+0.0561856
+0.05666
+0.0572145
+0.0578467
+0.0585412
+0.0593056
+0.0601401
+0.0610418
+0.0620079
+0.0630353
+0.0641212
+0.0652625
+0.0664564
+0.106177
+0.104913
+0.103679
+0.102477
+0.101308
+0.100174
+0.0990366
+0.0978301
+0.0966582
+0.0955221
+0.0944214
+0.0933333
+0.092252
+0.0912106
+0.0902103
+0.0892526
+0.0883042
+0.0873298
+0.0863904
+0.0854483
+0.0845459
+0.08369
+0.0828832
+0.082127
+0.0814122
+0.0806418
+0.0799167
+0.0792197
+0.0785081
+0.0778206
+0.0768118
+0.0758504
+0.074906
+0.0738488
+0.0725424
+0.0712794
+0.0700622
+0.068889
+0.0677659
+0.066696
+0.0656816
+0.0647256
+0.0637889
+0.0628177
+0.0619089
+0.0610651
+0.0602857
+0.0595712
+0.0589228
+0.0583403
+0.0578274
+0.0573824
+0.0570044
+0.0567085
+0.0564929
+0.0561697
+0.0555114
+0.054877
+0.0542772
+0.0537601
+0.0533281
+0.0529831
+0.052727
+0.0525611
+0.0524716
+0.0523484
+0.0521963
+0.0517506
+0.0513082
+0.0509562
+0.0506371
+0.0503973
+0.0502516
+0.0501837
+0.0501853
+0.0502339
+0.0503778
+0.0505845
+0.0508591
+0.0512086
+0.0515965
+0.0520253
+0.052537
+0.053124
+0.0534954
+0.0537262
+0.0540449
+0.05445
+0.0549395
+0.0555111
+0.0561625
+0.0568827
+0.0576691
+0.0585269
+0.0594531
+0.0604446
+0.0614982
+0.0626107
+0.063779
+0.0650002
+0.105045
+0.103766
+0.102519
+0.101303
+0.100121
+0.0989728
+0.0978598
+0.0967084
+0.0955227
+0.094373
+0.0931304
+0.0919209
+0.0907482
+0.0896138
+0.088519
+0.0874654
+0.0864545
+0.0854877
+0.0845613
+0.0836796
+0.0828465
+0.0820635
+0.0813319
+0.0806532
+0.0800287
+0.0794598
+0.0787431
+0.0780619
+0.0773538
+0.0766875
+0.0757792
+0.0748045
+0.0736255
+0.0722493
+0.0709135
+0.069621
+0.0683743
+0.0671758
+0.0660284
+0.0649298
+0.0638874
+0.0629041
+0.0619152
+0.0609142
+0.0599765
+0.0591051
+0.058299
+0.0575599
+0.0568955
+0.0562945
+0.0557669
+0.055308
+0.0549165
+0.0546094
+0.054387
+0.054237
+0.0535595
+0.052928
+0.0523069
+0.0517702
+0.0513213
+0.0509628
+0.0506965
+0.0505239
+0.0504323
+0.0504126
+0.0503152
+0.0499004
+0.0494415
+0.0490761
+0.048753
+0.0485039
+0.0483525
+0.0482818
+0.0482954
+0.0483508
+0.0485003
+0.0487088
+0.0489908
+0.0493534
+0.0497518
+0.0501933
+0.0507235
+0.0513313
+0.0517623
+0.0520008
+0.0523301
+0.0527483
+0.0532534
+0.053843
+0.0545143
+0.0552613
+0.0560704
+0.0569523
+0.0579038
+0.0589213
+0.0600016
+0.0611413
+0.0623372
+0.0635861
+0.103946
+0.102654
+0.101392
+0.100163
+0.0989672
+0.0978057
+0.0966531
+0.09529
+0.0939581
+0.0926589
+0.0913928
+0.0901601
+0.0889642
+0.0878067
+0.0866891
+0.085613
+0.0845799
+0.0835915
+0.0826476
+0.0817453
+0.0808923
+0.0800902
+0.0793404
+0.0786445
+0.078004
+0.0774202
+0.0768943
+0.0764277
+0.0760214
+0.0755689
+0.0747966
+0.0735267
+0.0720877
+0.0706816
+0.0693155
+0.0679927
+0.0667155
+0.0654868
+0.0643092
+0.0631856
+0.0621186
+0.0611069
+0.0600574
+0.0590306
+0.0580624
+0.0571619
+0.0563275
+0.0555621
+0.0548736
+0.05426
+0.053716
+0.0532402
+0.052837
+0.0525177
+0.0522877
+0.052132
+0.0516267
+0.0509937
+0.0503548
+0.049797
+0.0493303
+0.0489572
+0.0486799
+0.0485001
+0.0484062
+0.0483857
+0.0484601
+0.0480789
+0.0476024
+0.0472227
+0.0468955
+0.0466365
+0.046479
+0.0464055
+0.0464253
+0.0464945
+0.04665
+0.0468603
+0.0471502
+0.0475255
+0.047933
+0.0483911
+0.0489408
+0.0495705
+0.0500651
+0.0503117
+0.0506519
+0.0510839
+0.0516053
+0.0522135
+0.0529055
+0.053678
+0.0545129
+0.0554196
+0.0563969
+0.0574412
+0.0585488
+0.0597162
+0.0609401
+0.0622171
+0.102869
+0.101576
+0.100301
+0.0990586
+0.0978492
+0.0964424
+0.0950257
+0.0936388
+0.0922831
+0.09096
+0.0896709
+0.0884172
+0.0871987
+0.0860174
+0.0848763
+0.0837769
+0.0827209
+0.08171
+0.0807459
+0.0798243
+0.0789506
+0.0781285
+0.0773597
+0.0766459
+0.0759885
+0.075389
+0.0748489
+0.0743695
+0.0739518
+0.0735898
+0.0732861
+0.072015
+0.0705739
+0.0691477
+0.0677508
+0.0663967
+0.0650882
+0.0638282
+0.0626194
+0.0614649
+0.0603679
+0.0593316
+0.0582204
+0.0571614
+0.056168
+0.0552372
+0.0543728
+0.0535795
+0.0528651
+0.052233
+0.0516732
+0.0511826
+0.0507668
+0.0504344
+0.0501954
+0.0500336
+0.0497141
+0.049067
+0.0484232
+0.0478428
+0.0473568
+0.046968
+0.0466789
+0.0464914
+0.0463951
+0.0463737
+0.0464556
+0.0462397
+0.0457942
+0.0453992
+0.0450587
+0.0447983
+0.0446344
+0.0445578
+0.0445845
+0.04466
+0.0448259
+0.0450426
+0.0453408
+0.0457231
+0.0461466
+0.0466222
+0.0471925
+0.0478452
+0.0484076
+0.0486626
+0.0490142
+0.0494605
+0.0499988
+0.0506263
+0.0513397
+0.0521354
+0.0530002
+0.0539324
+0.0549361
+0.0560076
+0.057143
+0.0583386
+0.0595908
+0.0608961
+0.101796
+0.100525
+0.0992467
+0.0978268
+0.0963308
+0.0948619
+0.0934213
+0.0920102
+0.0906302
+0.0892825
+0.0879688
+0.0866906
+0.0854494
+0.0842469
+0.0830817
+0.0819582
+0.0808785
+0.0798443
+0.0788574
+0.0779176
+0.0770222
+0.0761793
+0.0753906
+0.074658
+0.0739829
+0.0733671
+0.072812
+0.072319
+0.0718895
+0.0715193
+0.0712067
+0.0705387
+0.0690668
+0.0676338
+0.0662215
+0.0648355
+0.0634949
+0.0622025
+0.0609615
+0.0597751
+0.0586465
+0.0575649
+0.0564086
+0.055315
+0.0542878
+0.0533308
+0.0524367
+0.0516137
+0.0508717
+0.0502145
+0.0496427
+0.0491365
+0.0487071
+0.0483605
+0.0481113
+0.0479424
+0.047823
+0.0471499
+0.0465102
+0.04591
+0.0454033
+0.0449976
+0.0446958
+0.0444999
+0.044401
+0.0443786
+0.0444643
+0.0444268
+0.044018
+0.0435977
+0.0432538
+0.0429933
+0.0428224
+0.0427426
+0.0427743
+0.0428553
+0.0430265
+0.0432564
+0.0435587
+0.043956
+0.0443964
+0.0448905
+0.0454826
+0.0461594
+0.0467939
+0.0470576
+0.0474212
+0.0478823
+0.0484382
+0.0490856
+0.0498211
+0.0506407
+0.0515363
+0.0524944
+0.0535251
+0.0546243
+0.0557879
+0.0570119
+0.0582926
+0.0596263
+0.100539
+0.0991165
+0.0977226
+0.0963189
+0.0947991
+0.0933061
+0.091841
+0.0904054
+0.0890004
+0.0876277
+0.0862888
+0.0849853
+0.0837188
+0.0824911
+0.0813039
+0.0801582
+0.0790538
+0.0779954
+0.0769848
+0.0760232
+0.0751059
+0.0742417
+0.0734327
+0.0726807
+0.0719875
+0.0713547
+0.0707841
+0.070277
+0.0698349
+0.0694561
+0.0691343
+0.0688806
+0.0675971
+0.0661323
+0.0647033
+0.0633116
+0.061938
+0.0606125
+0.0593382
+0.0581186
+0.0569572
+0.0558179
+0.0546247
+0.0534946
+0.0524317
+0.0514402
+0.0505214
+0.0496666
+0.0488952
+0.048211
+0.0476178
+0.0471034
+0.0466594
+0.0462975
+0.0460371
+0.0458606
+0.0457876
+0.0452576
+0.0446113
+0.0440004
+0.0434724
+0.0430485
+0.0427329
+0.042528
+0.0424263
+0.0424029
+0.0424925
+0.0426434
+0.0422712
+0.0418334
+0.041486
+0.0412155
+0.0410474
+0.0409641
+0.0409972
+0.041088
+0.041265
+0.0414999
+0.041815
+0.0422287
+0.0426869
+0.0432006
+0.0438154
+0.0445177
+0.0451838
+0.0455016
+0.0458775
+0.0463539
+0.0469279
+0.047596
+0.0483541
+0.0491981
+0.0501238
+0.0511099
+0.052168
+0.0532952
+0.0544871
+0.0557397
+0.057049
+0.058411
+0.0989754
+0.0975303
+0.0961134
+0.0947259
+0.0932937
+0.0917762
+0.0902863
+0.0888255
+0.0873952
+0.0859969
+0.0846322
+0.0833028
+0.0820103
+0.0807566
+0.0795435
+0.0783728
+0.0772457
+0.0761633
+0.0751291
+0.0741438
+0.0732029
+0.072316
+0.0714853
+0.0707126
+0.07
+0.0693494
+0.0687624
+0.0682407
+0.0677858
+0.0673991
+0.0670693
+0.0668078
+0.0661624
+0.064665
+0.0632081
+0.0617878
+0.0604135
+0.0590609
+0.0577524
+0.0564986
+0.0553031
+0.0541032
+0.0528713
+0.0517029
+0.0506024
+0.0495744
+0.0486233
+0.0477408
+0.0469376
+0.0462245
+0.0456055
+0.0450835
+0.0446239
+0.0442467
+0.0439742
+0.0437894
+0.0437129
+0.0433934
+0.0427404
+0.0421024
+0.0415672
+0.0411237
+0.0407932
+0.0405785
+0.0404739
+0.0404493
+0.0405432
+0.0407549
+0.0405676
+0.0401112
+0.0397604
+0.039478
+0.0393126
+0.0392273
+0.0392619
+0.0393626
+0.0395464
+0.0397865
+0.040115
+0.0405461
+0.0410231
+0.0415574
+0.0421962
+0.0429091
+0.0435927
+0.0439996
+0.0443882
+0.0448805
+0.0454731
+0.0461622
+0.0469435
+0.0478124
+0.0487644
+0.0497808
+0.0508665
+0.0520219
+0.0532424
+0.0545236
+0.0558613
+0.0572402
+0.0974361
+0.0959679
+0.0945275
+0.0931165
+0.0917361
+0.0902736
+0.0887585
+0.0872721
+0.0858159
+0.0843914
+0.0830003
+0.0816443
+0.0803252
+0.0790448
+0.0778032
+0.0766034
+0.0754482
+0.0743395
+0.0732796
+0.0722706
+0.0713147
+0.0704059
+0.0695523
+0.0687579
+0.0680249
+0.0673551
+0.0667506
+0.066213
+0.0657441
+0.0653453
+0.0650126
+0.0647428
+0.0645463
+0.0632384
+0.0617478
+0.0602999
+0.0588909
+0.0575308
+0.0562072
+0.0549181
+0.0536875
+0.0524206
+0.0511517
+0.0499431
+0.0488029
+0.0477361
+0.0467477
+0.0458387
+0.0450016
+0.0442573
+0.0436104
+0.0430653
+0.0426008
+0.04221
+0.0419242
+0.0417303
+0.0416501
+0.041561
+0.0409013
+0.0402341
+0.0396768
+0.0392266
+0.0388799
+0.0386546
+0.038547
+0.0385212
+0.0386199
+0.038842
+0.0388379
+0.0384367
+0.038081
+0.0377877
+0.0376167
+0.0375381
+0.0375742
+0.0376845
+0.0378765
+0.0381221
+0.0384648
+0.0389142
+0.0394109
+0.0399667
+0.0406306
+0.0413496
+0.0420398
+0.0425575
+0.0429591
+0.0434676
+0.0440792
+0.0447897
+0.0455945
+0.0464887
+0.047458
+0.0484992
+0.049613
+0.0507969
+0.0520461
+0.053356
+0.0547222
+0.0561291
+0.0959222
+0.0944304
+0.0929663
+0.0915312
+0.0901265
+0.0887536
+0.0872589
+0.0857465
+0.0842639
+0.0828128
+0.0813947
+0.0800113
+0.0786623
+0.0773519
+0.0760819
+0.0748545
+0.0736719
+0.0725361
+0.0714495
+0.0704142
+0.0694327
+0.0685072
+0.067635
+0.0668179
+0.0660633
+0.0653735
+0.0647504
+0.0641961
+0.0637124
+0.0633008
+0.0629628
+0.0626863
+0.0624833
+0.0618564
+0.0603318
+0.0588492
+0.0574115
+0.0560155
+0.0546717
+0.0533808
+0.0521139
+0.0507712
+0.0494685
+0.0482185
+0.0470366
+0.0459288
+0.0449006
+0.0439576
+0.04309
+0.042312
+0.0416349
+0.0410636
+0.0405889
+0.0401895
+0.0398893
+0.0396854
+0.039601
+0.0396377
+0.039075
+0.0383999
+0.0378156
+0.0373496
+0.0369854
+0.0367484
+0.0366411
+0.0366227
+0.0367264
+0.0369583
+0.0371564
+0.0368165
+0.0364449
+0.0361511
+0.0359739
+0.0359
+0.0359377
+0.0360561
+0.0362621
+0.0365132
+0.0368709
+0.0373317
+0.0378569
+0.0384352
+0.0391209
+0.0398442
+0.0405459
+0.0411814
+0.0415963
+0.0421213
+0.0427521
+0.0434843
+0.0443128
+0.0452269
+0.0462158
+0.0472843
+0.0484261
+0.0496383
+0.0509159
+0.0522542
+0.0536485
+0.0550828
+0.0944284
+0.092919
+0.0914307
+0.0899711
+0.0885416
+0.0871438
+0.0857792
+0.0842502
+0.0827409
+0.0812614
+0.0798134
+0.0783998
+0.0770226
+0.0756837
+0.0743853
+0.0731295
+0.0719184
+0.0707545
+0.0696401
+0.0685775
+0.0675693
+0.0666179
+0.0657258
+0.0648938
+0.0641166
+0.0634056
+0.062763
+0.0621905
+0.0616904
+0.0612647
+0.0609148
+0.0606393
+0.0604294
+0.0602984
+0.058963
+0.0574452
+0.0559719
+0.0545461
+0.0531652
+0.0518401
+0.0505697
+0.0491642
+0.0478177
+0.0465332
+0.0453073
+0.0441561
+0.0430857
+0.0421021
+0.0412061
+0.0403919
+0.039682
+0.0390822
+0.0385892
+0.0381786
+0.0378627
+0.0376569
+0.0375679
+0.0376066
+0.0372879
+0.0366049
+0.0359914
+0.0355028
+0.0351237
+0.0348741
+0.0347609
+0.0347585
+0.0348678
+0.0351082
+0.0354617
+0.0352579
+0.0348698
+0.0345759
+0.0343907
+0.034316
+0.0343554
+0.0344901
+0.0347065
+0.0349586
+0.0353321
+0.035812
+0.0363644
+0.0369698
+0.0376595
+0.0383975
+0.0391176
+0.0398541
+0.0403066
+0.0408481
+0.0414983
+0.0422523
+0.043103
+0.0440308
+0.045046
+0.0461416
+0.0473109
+0.048551
+0.0498565
+0.0512224
+0.0526441
+0.054105
+0.0929588
+0.0914267
+0.0899203
+0.0884358
+0.0869811
+0.0855578
+0.0841674
+0.082783
+0.081244
+0.0797354
+0.0782591
+0.076817
+0.0754108
+0.0740428
+0.0727151
+0.0714299
+0.0701896
+0.0689965
+0.0678532
+0.0667622
+0.0657262
+0.0647477
+0.0638294
+0.062974
+0.0621824
+0.0614485
+0.0607846
+0.0601933
+0.0596765
+0.0592363
+0.0588743
+0.0585921
+0.0583854
+0.0582498
+0.0576451
+0.0560916
+0.0545818
+0.0531194
+0.0517076
+0.0503441
+0.0490407
+0.0476037
+0.0462118
+0.0448837
+0.0436195
+0.0424226
+0.0413072
+0.0402802
+0.0393485
+0.0385007
+0.0377553
+0.0371244
+0.0366109
+0.0361852
+0.0358548
+0.0356476
+0.0355536
+0.0355944
+0.035546
+0.0348551
+0.0342103
+0.0336959
+0.0333021
+0.0330387
+0.0329193
+0.0329198
+0.0330499
+0.0332993
+0.0336718
+0.0336983
+0.0333641
+0.0330709
+0.0328772
+0.0328019
+0.0328431
+0.0329952
+0.0332214
+0.0334734
+0.0338633
+0.0343647
+0.0349401
+0.0355533
+0.0362711
+0.037024
+0.0377624
+0.0385162
+0.0390971
+0.0396552
+0.0403246
+0.0411001
+0.0419609
+0.0429132
+0.0439542
+0.0450764
+0.0462726
+0.0475398
+0.0488723
+0.050265
+0.051713
+0.0531995
+0.0915181
+0.0899614
+0.0884316
+0.0869285
+0.0854482
+0.0839989
+0.0825823
+0.0812001
+0.0797778
+0.078241
+0.076736
+0.0752646
+0.0738289
+0.072431
+0.0710732
+0.0697578
+0.0684872
+0.0672639
+0.0660906
+0.0649701
+0.063905
+0.0628982
+0.0619525
+0.0610708
+0.0602559
+0.059507
+0.0588213
+0.05821
+0.0576754
+0.0572198
+0.056845
+0.0565527
+0.056344
+0.0562119
+0.0561566
+0.0547921
+0.0532455
+0.0517454
+0.050296
+0.0489006
+0.0475576
+0.0460946
+0.0446556
+0.0432798
+0.0419733
+0.0407331
+0.0395702
+0.0384968
+0.0375208
+0.0366428
+0.0358588
+0.0351939
+0.034655
+0.0342141
+0.0338696
+0.0336559
+0.0335613
+0.0336046
+0.0337902
+0.0331579
+0.0324794
+0.031937
+0.0315275
+0.0312491
+0.0311228
+0.0311242
+0.0312759
+0.0315389
+0.0319319
+0.0321716
+0.0319379
+0.0316425
+0.0314399
+0.0313677
+0.0314109
+0.0315817
+0.0318086
+0.0320692
+0.0324759
+0.0329995
+0.0335889
+0.0342185
+0.0349637
+0.0357321
+0.0364872
+0.0372544
+0.0379634
+0.0385378
+0.0392264
+0.040023
+0.0409041
+0.0418805
+0.0429466
+0.0440944
+0.0453165
+0.0466097
+0.0479681
+0.0493863
+0.0508593
+0.0523701
+0.0901075
+0.0885261
+0.086971
+0.0854438
+0.0839445
+0.0824688
+0.0810254
+0.0796162
+0.0782429
+0.07678
+0.0752457
+0.0737446
+0.0722788
+0.0708503
+0.0694616
+0.068115
+0.0668132
+0.0655587
+0.0643543
+0.063203
+0.0621076
+0.0610712
+0.0600968
+0.0591874
+0.0583462
+0.0575761
+0.0568745
+0.056242
+0.0556886
+0.0552166
+0.0548281
+0.054525
+0.0543086
+0.0541799
+0.0541285
+0.0534717
+0.0519169
+0.0504092
+0.0489408
+0.0475069
+0.0461309
+0.0446399
+0.0431546
+0.0417293
+0.0403727
+0.0390917
+0.0378802
+0.0367575
+0.035734
+0.0348185
+0.0339978
+0.0332958
+0.0327256
+0.0322714
+0.0319113
+0.0316844
+0.0315954
+0.0316413
+0.0318383
+0.0314985
+0.030807
+0.0302347
+0.0298083
+0.0295137
+0.02938
+0.0293823
+0.0295428
+0.0298354
+0.0302506
+0.0307254
+0.0305976
+0.0302937
+0.0300821
+0.030025
+0.0300702
+0.0302609
+0.0304835
+0.0307571
+0.0311809
+0.0317267
+0.0323263
+0.0329753
+0.033748
+0.0345289
+0.0352976
+0.0360815
+0.0369222
+0.0375126
+0.0382196
+0.0390368
+0.0399397
+0.0409391
+0.042029
+0.0432012
+0.044448
+0.0457657
+0.0471484
+0.0485905
+0.0500869
+0.0516203
+0.0887287
+0.0871222
+0.0855416
+0.0839885
+0.0824642
+0.080969
+0.0794984
+0.0780616
+0.0766605
+0.0752971
+0.0737904
+0.0722591
+0.0707625
+0.0693028
+0.0678824
+0.0665039
+0.0651699
+0.0638831
+0.0626466
+0.0614632
+0.0603363
+0.0592689
+0.0582643
+0.0573259
+0.056457
+0.0556607
+0.0549404
+0.0542912
+0.0537177
+0.0532282
+0.0528251
+0.0525104
+0.0522856
+0.052152
+0.0521102
+0.0521461
+0.0506163
+0.0490688
+0.0475718
+0.0461302
+0.0447398
+0.0432415
+0.0417122
+0.0402384
+0.0388297
+0.0374961
+0.0362438
+0.0350688
+0.0339945
+0.0330308
+0.0321783
+0.0314356
+0.0308311
+0.0303599
+0.0299852
+0.0297436
+0.0296609
+0.0297099
+0.0299196
+0.0299012
+0.0292033
+0.0285989
+0.0281524
+0.0278426
+0.0277008
+0.0277041
+0.0278743
+0.0281994
+0.0286368
+0.029202
+0.0292378
+0.0290345
+0.0288269
+0.0287677
+0.0288279
+0.0290405
+0.0292465
+0.0295359
+0.0299769
+0.0305392
+0.0311666
+0.0318345
+0.0326342
+0.0334125
+0.0342071
+0.0350066
+0.0358786
+0.03659
+0.0373145
+0.038151
+0.0390744
+0.0400954
+0.0412076
+0.0424025
+0.0436721
+0.0450125
+0.0464176
+0.0478818
+0.0493997
+0.0509537
+0.0873829
+0.0857513
+0.0841449
+0.0825655
+0.0810146
+0.0794937
+0.078003
+0.0765382
+0.0751087
+0.0737165
+0.0723639
+0.0708102
+0.0692823
+0.0677907
+0.066338
+0.0649267
+0.0635596
+0.0622395
+0.0609697
+0.0597531
+0.0585933
+0.0574935
+0.0564574
+0.0554885
+0.0545903
+0.0537664
+0.0530203
+0.0523553
+0.0517644
+0.0512563
+0.0508375
+0.0505104
+0.0502768
+0.0501378
+0.0500943
+0.0501466
+0.0493788
+0.0477912
+0.0462528
+0.0447689
+0.043329
+0.0418926
+0.0403313
+0.0388109
+0.0373515
+0.0359631
+0.0346577
+0.0334384
+0.03231
+0.0312944
+0.030403
+0.0296208
+0.0289784
+0.0284842
+0.0280978
+0.0278399
+0.0277529
+0.0278169
+0.0280407
+0.0283832
+0.0276801
+0.0270417
+0.0265691
+0.026248
+0.0260975
+0.0261019
+0.0262826
+0.0266424
+0.0270949
+0.0276916
+0.0279832
+0.0278712
+0.0276885
+0.0276268
+0.0276894
+0.0279108
+0.028125
+0.0284258
+0.0288838
+0.0294669
+0.0301188
+0.0308075
+0.0316142
+0.0324059
+0.0332254
+0.034032
+0.0349173
+0.0357778
+0.0365184
+0.0373728
+0.0383149
+0.0393556
+0.0404882
+0.0417038
+0.0429939
+0.0443548
+0.0457802
+0.0472641
+0.0488012
+0.0503737
+0.086072
+0.0844149
+0.0827827
+0.0811768
+0.0795988
+0.0780503
+0.0765333
+0.0750478
+0.0735893
+0.0721679
+0.0707857
+0.0694002
+0.0678406
+0.0663166
+0.0648308
+0.063386
+0.0619849
+0.0606306
+0.0593263
+0.0580753
+0.0568813
+0.0557478
+0.0546786
+0.0536775
+0.0527485
+0.0518954
+0.051122
+0.0504319
+0.0498253
+0.0492972
+0.0488616
+0.0485212
+0.0482779
+0.0481331
+0.0480879
+0.0481423
+0.0482091
+0.0465816
+0.0450019
+0.0434753
+0.0419799
+0.0404843
+0.039006
+0.0374512
+0.0359425
+0.0345012
+0.0331382
+0.0318677
+0.0306894
+0.0296183
+0.0286748
+0.02786
+0.027176
+0.0266502
+0.0262555
+0.0259814
+0.0258882
+0.0259605
+0.0262002
+0.0266088
+0.0262516
+0.0255775
+0.0250773
+0.0247448
+0.0245851
+0.0245908
+0.0247824
+0.0251563
+0.0256476
+0.0262771
+0.0268441
+0.0268366
+0.0266672
+0.0266176
+0.0266826
+0.0269122
+0.0271343
+0.027446
+0.0279201
+0.0285229
+0.029196
+0.0299059
+0.030706
+0.0315196
+0.0323495
+0.033162
+0.0340699
+0.0350481
+0.0358388
+0.036709
+0.0376678
+0.0387259
+0.0398763
+0.04111
+0.0424182
+0.043797
+0.0452399
+0.046741
+0.0482947
+0.0498832
+0.0847973
+0.0831149
+0.0814566
+0.079824
+0.0782187
+0.0766424
+0.0750969
+0.0735842
+0.0721045
+0.0706532
+0.0692408
+0.0678698
+0.0664398
+0.0648829
+0.0633636
+0.0618845
+0.0604486
+0.059059
+0.0577192
+0.0564327
+0.0552031
+0.0540344
+0.0529306
+0.0518959
+0.0509344
+0.0500503
+0.049248
+0.0485313
+0.0479041
+0.0473557
+0.0469021
+0.0465474
+0.0462937
+0.0461427
+0.0460955
+0.0461523
+0.0463118
+0.0454455
+0.0438249
+0.0422558
+0.0407039
+0.0391479
+0.0376229
+0.0361483
+0.0346087
+0.0331155
+0.0316975
+0.0303667
+0.0291401
+0.0280133
+0.0270139
+0.0261601
+0.0254346
+0.0248732
+0.0244614
+0.0241787
+0.0240785
+0.0241548
+0.0244123
+0.0248606
+0.0249124
+0.0242232
+0.0236944
+0.0233505
+0.0231813
+0.0231883
+0.0233915
+0.0237785
+0.0242989
+0.0249688
+0.0257749
+0.0258598
+0.0257709
+0.0257357
+0.0258228
+0.0260457
+0.0262893
+0.0266109
+0.0270781
+0.0276926
+0.0283941
+0.0291221
+0.0299286
+0.0307552
+0.0315853
+0.032417
+0.0333451
+0.034344
+0.0352824
+0.036166
+0.0371387
+0.0382115
+0.039377
+0.0406258
+0.0419491
+0.0433429
+0.0448004
+0.0463157
+0.0478833
+0.049485
+0.0835607
+0.0818528
+0.0801685
+0.0785091
+0.0768763
+0.0752719
+0.0736977
+0.0721556
+0.0706478
+0.0691748
+0.0677316
+0.0663293
+0.0649707
+0.0634925
+0.061939
+0.0604251
+0.0589536
+0.057528
+0.0561517
+0.0548284
+0.053562
+0.0523567
+0.0512167
+0.0501466
+0.0491509
+0.0482342
+0.0474011
+0.046656
+0.0460034
+0.0454369
+0.044964
+0.0445938
+0.0443289
+0.0441713
+0.0441219
+0.0441813
+0.0443489
+0.0443767
+0.0427213
+0.041116
+0.0395084
+0.0378911
+0.0363136
+0.0347888
+0.0333336
+0.0318141
+0.0303414
+0.0289538
+0.0276646
+0.0264845
+0.0254251
+0.024516
+0.0237677
+0.0231671
+0.0227244
+0.022445
+0.0223371
+0.0224178
+0.022695
+0.0231769
+0.0236843
+0.0229982
+0.0224406
+0.0220838
+0.0219048
+0.0219155
+0.0221303
+0.0225298
+0.0230784
+0.0237826
+0.0246276
+0.0250082
+0.0250327
+0.0249984
+0.0251174
+0.0253175
+0.0255843
+0.0259077
+0.0263784
+0.0270086
+0.0277276
+0.0284739
+0.0292663
+0.0301102
+0.0309576
+0.0318057
+0.0327511
+0.0337675
+0.0348311
+0.0357491
+0.0367329
+0.0378172
+0.0389945
+0.0402551
+0.0415903
+0.0429956
+0.0444646
+0.045991
+0.0475692
+0.0491811
+0.0823632
+0.0806306
+0.0789201
+0.0772339
+0.0755736
+0.0739409
+0.0723377
+0.070766
+0.069228
+0.0677259
+0.0662592
+0.0648251
+0.0634342
+0.0620895
+0.0605603
+0.0590109
+0.0575033
+0.0560408
+0.054627
+0.0532659
+0.0519614
+0.0507181
+0.0495404
+0.0484333
+0.0474016
+0.0464504
+0.0455847
+0.0448095
+0.0441295
+0.0435424
+0.0430487
+0.0426619
+0.0423849
+0.04222
+0.0421684
+0.0422305
+0.0424058
+0.0426879
+0.0416881
+0.0400413
+0.0383744
+0.036707
+0.0350891
+0.0335119
+0.0320037
+0.0305738
+0.029081
+0.0276364
+0.026289
+0.0250442
+0.0239211
+0.0229525
+0.0221542
+0.0215202
+0.0210723
+0.0207978
+0.0206813
+0.0207669
+0.0210658
+0.0215841
+0.0222618
+0.0219241
+0.0213385
+0.0209635
+0.0207748
+0.0207946
+0.0210185
+0.0214328
+0.0220088
+0.0227461
+0.0236282
+0.0243156
+0.024451
+0.0244288
+0.0245573
+0.0247582
+0.0250345
+0.0253654
+0.025846
+0.0264886
+0.0272216
+0.0279823
+0.0287551
+0.0296135
+0.0304748
+0.0313357
+0.0322865
+0.0333254
+0.0344026
+0.0354564
+0.0364545
+0.0375468
+0.0387323
+0.0400012
+0.0413446
+0.042758
+0.0442348
+0.0457689
+0.0473545
+0.0489735
+0.0811962
+0.07944
+0.0777059
+0.0759953
+0.07431
+0.0726516
+0.0710193
+0.0694178
+0.0678492
+0.0663159
+0.0648201
+0.0633547
+0.0619308
+0.0605527
+0.0592236
+0.0576454
+0.0561011
+0.054601
+0.053149
+0.0517489
+0.0504052
+0.0491225
+0.0479057
+0.0467598
+0.0456904
+0.0447028
+0.0438025
+0.0429952
+0.042286
+0.041673
+0.0411569
+0.0407521
+0.0404621
+0.0402893
+0.0402352
+0.0403003
+0.040484
+0.0407806
+0.04056
+0.0390601
+0.0373245
+0.035608
+0.0339437
+0.0323242
+0.0307672
+0.0292814
+0.0278822
+0.0264285
+0.0250226
+0.0237191
+0.0225299
+0.0214988
+0.0206444
+0.01997
+0.0195023
+0.0192499
+0.0191334
+0.0192242
+0.0195467
+0.0200925
+0.0208221
+0.0210242
+0.0204127
+0.020021
+0.0198233
+0.019844
+0.0200785
+0.0205119
+0.021113
+0.0218805
+0.0227962
+0.0237827
+0.02399
+0.0240351
+0.0241683
+0.0243501
+0.0246305
+0.0250034
+0.0254913
+0.0261396
+0.0268851
+0.0276557
+0.028404
+0.0292728
+0.0301426
+0.0310012
+0.0319595
+0.033023
+0.0341097
+0.0352344
+0.036294
+0.0374029
+0.0385929
+0.0398662
+0.041214
+0.0426317
+0.0441128
+0.0456509
+0.0472331
+0.048853
+0.0800723
+0.0782908
+0.0765307
+0.0747932
+0.0730801
+0.0713932
+0.0697342
+0.0681054
+0.0665088
+0.0649468
+0.0634214
+0.0619268
+0.0604693
+0.0590571
+0.0576936
+0.0563197
+0.0547435
+0.0532089
+0.0517208
+0.0502817
+0.0488977
+0.0475743
+0.0463168
+0.0451307
+0.0440217
+0.0429958
+0.042059
+0.0412175
+0.0404772
+0.0398363
+0.0392961
+0.038872
+0.0385679
+0.0383865
+0.0383297
+0.038398
+0.0385908
+0.0388443
+0.0386127
+0.0381734
+0.0363722
+0.0346129
+0.0329008
+0.0312314
+0.0296254
+0.028096
+0.0266346
+0.0252707
+0.0238788
+0.0225269
+0.0212738
+0.0201787
+0.0192657
+0.0185435
+0.018045
+0.0177977
+0.0176985
+0.0178177
+0.0181652
+0.018731
+0.0195101
+0.0202861
+0.0196882
+0.0192824
+0.019077
+0.0190986
+0.0193421
+0.0197915
+0.0204139
+0.0212067
+0.0221503
+0.023232
+0.0236142
+0.0235389
+0.0236225
+0.0238816
+0.0243359
+0.0247932
+0.0253219
+0.0259388
+0.026696
+0.0274736
+0.0282192
+0.0290934
+0.029938
+0.0308151
+0.0317805
+0.032838
+0.033956
+0.0350856
+0.0362461
+0.0373705
+0.0385686
+0.0398417
+0.0411902
+0.0426088
+0.0440906
+0.0456275
+0.0472009
+0.0488219
+0.0789931
+0.0771867
+0.0754008
+0.0736367
+0.0718961
+0.0701806
+0.0684923
+0.0668332
+0.0652055
+0.0636115
+0.062054
+0.0605357
+0.0590529
+0.057606
+0.0562073
+0.0548604
+0.0534322
+0.0518613
+0.0503341
+0.0488575
+0.047436
+0.046075
+0.0447784
+0.0435508
+0.0424005
+0.0413344
+0.0403591
+0.0394814
+0.0387079
+0.0380372
+0.0374711
+0.037026
+0.0367066
+0.036516
+0.0364563
+0.0365281
+0.0367307
+0.0369366
+0.0366928
+0.0365789
+0.0354968
+0.0337195
+0.0319676
+0.0302527
+0.0285953
+0.0270103
+0.0255144
+0.0240871
+0.0227813
+0.0214518
+0.020165
+0.019006
+0.0180397
+0.0172754
+0.0167481
+0.0164814
+0.0164217
+0.0165625
+0.0169358
+0.0175381
+0.0183597
+0.0193563
+0.0191624
+0.0187717
+0.0185607
+0.0185829
+0.018833
+0.0192944
+0.0199322
+0.0207435
+0.0216855
+0.022724
+0.0227465
+0.0226356
+0.0227225
+0.0229917
+0.0234633
+0.0241252
+0.0249464
+0.0259068
+0.02668
+0.0274387
+0.0281935
+0.0290526
+0.0298925
+0.0307716
+0.0317438
+0.0327964
+0.0339354
+0.0350647
+0.036244
+0.0374523
+0.0386535
+0.0399239
+0.0412697
+0.0426857
+0.0441649
+0.0456993
+0.0472703
+0.048889
+0.0779605
+0.0761297
+0.0743183
+0.0725279
+0.07076
+0.0690164
+0.0672989
+0.0656096
+0.0639507
+0.0623246
+0.0607341
+0.0591819
+0.0576687
+0.0561968
+0.0547683
+0.0533852
+0.0520574
+0.0505695
+0.0490053
+0.0474875
+0.0460238
+0.0446196
+0.0432809
+0.0420137
+0.0408249
+0.0397213
+0.0387083
+0.0377925
+0.0369837
+0.0362732
+0.0356791
+0.0352114
+0.0348754
+0.0346747
+0.0346119
+0.0346875
+0.0349008
+0.0350619
+0.034805
+0.0346849
+0.034693
+0.0328892
+0.0311213
+0.0293877
+0.027695
+0.0260553
+0.0245018
+0.0230514
+0.0216834
+0.020459
+0.0192187
+0.0180175
+0.016995
+0.0162054
+0.0156454
+0.0153596
+0.0153248
+0.0155032
+0.0159014
+0.0165443
+0.0174101
+0.0184581
+0.0188549
+0.0184619
+0.0182939
+0.0183163
+0.0185701
+0.0190378
+0.019684
+0.0204879
+0.0214142
+0.0220904
+0.0220293
+0.0219148
+0.0220045
+0.0222824
+0.0227686
+0.0234331
+0.024256
+0.0252427
+0.0263749
+0.0275637
+0.0283152
+0.0291707
+0.0300073
+0.0308831
+0.03185
+0.032901
+0.0340365
+0.0351627
+0.0363635
+0.0375791
+0.0388619
+0.0401257
+0.041465
+0.0428745
+0.0443474
+0.0458757
+0.0474409
+0.049054
+0.0769764
+0.0751216
+0.0732854
+0.0714691
+0.0696743
+0.0679028
+0.0661564
+0.0644371
+0.0627473
+0.0610892
+0.0594657
+0.0578795
+0.0563313
+0.0548235
+0.0533631
+0.051954
+0.0505953
+0.0492898
+0.0477363
+0.04618
+0.0446743
+0.0432263
+0.041843
+0.040531
+0.0392973
+0.0381496
+0.037096
+0.0361445
+0.0353035
+0.0345576
+0.0339334
+0.0334414
+0.0330873
+0.0328758
+0.0328094
+0.0328892
+0.0331141
+0.0332149
+0.0329547
+0.0328278
+0.0328468
+0.032147
+0.0303539
+0.0286154
+0.0269103
+0.0252433
+0.0236487
+0.0221432
+0.0207593
+0.0194769
+0.018367
+0.0172519
+0.0161811
+0.0153501
+0.0147835
+0.0144807
+0.0144438
+0.0146402
+0.0150984
+0.0157547
+0.0166751
+0.0177196
+0.0182872
+0.0184051
+0.0182408
+0.0183099
+0.0185638
+0.0190316
+0.019665
+0.0204368
+0.0213653
+0.0216606
+0.0215122
+0.0213949
+0.0214661
+0.0217509
+0.0222484
+0.0229072
+0.0237484
+0.0247553
+0.0259088
+0.027178
+0.0285473
+0.0294517
+0.0302806
+0.0311487
+0.0321057
+0.0331504
+0.0342702
+0.0353964
+0.0365894
+0.0378221
+0.0391145
+0.0404408
+0.04177
+0.0431696
+0.0446328
+0.0461536
+0.0477116
+0.0493158
+0.0760428
+0.0741646
+0.0723041
+0.0704625
+0.0686414
+0.0668425
+0.0650677
+0.0633188
+0.0615983
+0.0599085
+0.058252
+0.0566318
+0.0550485
+0.0535046
+0.0520072
+0.0505604
+0.0491686
+0.0478367
+0.046536
+0.0449381
+0.0433921
+0.0419013
+0.0404728
+0.0391148
+0.0378349
+0.0366415
+0.0355431
+0.0345489
+0.0336681
+0.0328984
+0.0322421
+0.0317238
+0.0313504
+0.0311271
+0.031057
+0.0311413
+0.0313786
+0.0314061
+0.0311486
+0.0310143
+0.0310339
+0.0311794
+0.0297061
+0.0279281
+0.0262127
+0.0245692
+0.0229465
+0.0214195
+0.0199875
+0.018701
+0.0175421
+0.0165928
+0.0156066
+0.0147433
+0.0141588
+0.0138423
+0.0138558
+0.0140648
+0.0145179
+0.0151993
+0.0160906
+0.016739
+0.0173519
+0.0179683
+0.0184454
+0.0185422
+0.0188059
+0.019276
+0.0198549
+0.0206195
+0.0213119
+0.0214472
+0.0211778
+0.021055
+0.0211193
+0.0214086
+0.0219139
+0.0225825
+0.0234353
+0.0244552
+0.0256222
+0.0269049
+0.0282874
+0.0297671
+0.0307081
+0.0315641
+0.0325073
+0.0335413
+0.0346342
+0.0357629
+0.0369441
+0.0381894
+0.0394698
+0.0408135
+0.0421691
+0.0435558
+0.0450064
+0.046515
+0.0480748
+0.0496718
+0.0751614
+0.0732606
+0.0713765
+0.0695104
+0.0676637
+0.0658381
+0.0640354
+0.0622576
+0.0605069
+0.0587857
+0.0570966
+0.0554427
+0.0538245
+0.0522444
+0.0507098
+0.0492248
+0.0477941
+0.0464228
+0.0451162
+0.0437706
+0.0421818
+0.040649
+0.0391771
+0.0377726
+0.0364456
+0.0352051
+0.0340605
+0.0330217
+0.0320989
+0.0313002
+0.0306098
+0.0300634
+0.0296691
+0.029433
+0.0293589
+0.0294481
+0.0296983
+0.0296425
+0.0293698
+0.0292409
+0.0292623
+0.029426
+0.0291945
+0.0273963
+0.0256475
+0.0239691
+0.0223795
+0.0208581
+0.0193995
+0.0180721
+0.0169217
+0.0159355
+0.0152031
+0.014432
+0.0138414
+0.0135174
+0.0135174
+0.0136925
+0.0141349
+0.0147082
+0.015447
+0.015962
+0.0166491
+0.0172867
+0.0181118
+0.0189977
+0.0192595
+0.0196208
+0.0201166
+0.0206453
+0.0212716
+0.0213311
+0.0210553
+0.0209318
+0.0209964
+0.0212875
+0.0217956
+0.0224677
+0.0233247
+0.0243492
+0.0255211
+0.0267968
+0.0281826
+0.0296655
+0.0312318
+0.0321122
+0.0330432
+0.0340553
+0.0351312
+0.0362499
+0.0374239
+0.0386642
+0.0399329
+0.0412706
+0.042657
+0.0440451
+0.0454826
+0.046976
+0.048521
+0.0501037
+0.0743341
+0.0724117
+0.0705048
+0.068615
+0.0667435
+0.0648921
+0.0630623
+0.0612563
+0.0594761
+0.0577242
+0.0560031
+0.054316
+0.0526631
+0.0510471
+0.0494753
+0.0479521
+0.0464823
+0.0450711
+0.0437241
+0.0424475
+0.0410529
+0.0394762
+0.0379589
+0.0365075
+0.0351329
+0.0338443
+0.0326519
+0.0315668
+0.0306002
+0.0297613
+0.0290344
+0.0284578
+0.0280409
+0.0277909
+0.0277124
+0.0278069
+0.0280717
+0.0279394
+0.0276499
+0.0275199
+0.0275427
+0.0277348
+0.0280679
+0.0269783
+0.02522
+0.0235262
+0.0219207
+0.0204178
+0.0190285
+0.0176766
+0.0165021
+0.0155453
+0.0147936
+0.0143308
+0.0138035
+0.0135437
+0.0134392
+0.0135302
+0.0138284
+0.0144139
+0.0149203
+0.0154529
+0.0161735
+0.0168641
+0.0176954
+0.0186188
+0.0193846
+0.0196861
+0.020213
+0.0208122
+0.0214178
+0.0214346
+0.0211602
+0.0210373
+0.0211016
+0.0213912
+0.0218969
+0.022566
+0.0234194
+0.0244348
+0.0255744
+0.0268447
+0.0282281
+0.0297088
+0.0312729
+0.0327812
+0.0336937
+0.0346868
+0.0357491
+0.0368555
+0.038024
+0.0392431
+0.0404957
+0.0418194
+0.0431984
+0.0446165
+0.0460505
+0.0475335
+0.0490609
+0.0506268
+0.0735628
+0.0716197
+0.0696912
+0.0677786
+0.0658834
+0.0640071
+0.0621513
+0.060318
+0.0585093
+0.0567275
+0.0549753
+0.0532555
+0.0515687
+0.0499172
+0.0483087
+0.0467476
+0.0452386
+0.0437873
+0.0423996
+0.0410819
+0.0398411
+0.0383928
+0.0368308
+0.0353331
+0.0339109
+0.032574
+0.0313334
+0.0302009
+0.0291892
+0.0283084
+0.0275432
+0.0269347
+0.0264938
+0.0262291
+0.026146
+0.026246
+0.0265265
+0.0263086
+0.026001
+0.0258701
+0.0258943
+0.026103
+0.0264714
+0.0266182
+0.0248828
+0.023173
+0.0215411
+0.0200162
+0.0186105
+0.0173549
+0.0162736
+0.0154024
+0.0147025
+0.0142463
+0.0140689
+0.0137129
+0.0134667
+0.0134996
+0.0138214
+0.0143962
+0.0147044
+0.0152445
+0.0159745
+0.016713
+0.0175137
+0.0184462
+0.0195266
+0.0199928
+0.0204116
+0.0209591
+0.0214769
+0.0216039
+0.0214796
+0.0213429
+0.0214062
+0.0216918
+0.0221781
+0.0228367
+0.0236803
+0.0246825
+0.0258112
+0.0270704
+0.0284428
+0.0299128
+0.0314668
+0.0330871
+0.0344714
+0.0354427
+0.0364829
+0.0375792
+0.038733
+0.039927
+0.0411676
+0.0424703
+0.0438337
+0.0452515
+0.0466931
+0.0481682
+0.0496794
+0.0512377
+0.0728492
+0.0708865
+0.0689375
+0.0670035
+0.0650857
+0.0631857
+0.061305
+0.0594456
+0.0576095
+0.055799
+0.0540167
+0.0522654
+0.0505455
+0.0488595
+0.047215
+0.0456164
+0.0440688
+0.0425776
+0.0411491
+0.03979
+0.0385076
+0.0373099
+0.0357922
+0.0342493
+0.0327802
+0.0313953
+0.0301063
+0.028926
+0.0278681
+0.0269472
+0.0261482
+0.0255064
+0.0250404
+0.0247602
+0.0246721
+0.024778
+0.0250734
+0.0247643
+0.0244372
+0.0243038
+0.0243317
+0.0245536
+0.0249652
+0.0255235
+0.0245782
+0.022901
+0.0213037
+0.0197947
+0.0183864
+0.0171373
+0.0160481
+0.015189
+0.0145625
+0.0141401
+0.0138896
+0.0138001
+0.0137808
+0.0138206
+0.014135
+0.0144427
+0.0147728
+0.0153491
+0.0160743
+0.0168087
+0.0176049
+0.0185327
+0.0195626
+0.0201958
+0.0205802
+0.0211638
+0.0215943
+0.0217207
+0.0216421
+0.0215686
+0.0216929
+0.022017
+0.0225502
+0.0232622
+0.0241355
+0.0251196
+0.0262294
+0.0274694
+0.0288229
+0.0302744
+0.0318108
+0.0334144
+0.0350813
+0.0363152
+0.0373311
+0.0384037
+0.0395329
+0.0407174
+0.0419433
+0.0432226
+0.044563
+0.0459583
+0.0474137
+0.0488779
+0.0503793
+0.0519167
+0.0721951
+0.0702141
+0.0682459
+0.0662917
+0.0643527
+0.0624304
+0.0605263
+0.0586422
+0.0567801
+0.0549423
+0.0531312
+0.0513497
+0.0495981
+0.0478788
+0.0461993
+0.0445643
+0.0429788
+0.0414485
+0.0399796
+0.0385793
+0.0372553
+0.0360159
+0.0348461
+0.0332593
+0.0317444
+0.0303123
+0.0289751
+0.0277467
+0.0266421
+0.0256772
+0.0248627
+0.0241868
+0.0236949
+0.0233985
+0.0233053
+0.0234174
+0.0237198
+0.0233237
+0.0229762
+0.0228345
+0.0228722
+0.0231082
+0.0235465
+0.0241474
+0.024422
+0.0227474
+0.0211455
+0.0196574
+0.0182946
+0.0170469
+0.0159809
+0.015118
+0.0144823
+0.0140011
+0.0137838
+0.0137508
+0.0138554
+0.0141138
+0.0144684
+0.0147964
+0.0151386
+0.0157171
+0.0164677
+0.0171852
+0.0179647
+0.0188749
+0.0198094
+0.0206005
+0.0209775
+0.0215712
+0.0219074
+0.0220319
+0.0218085
+0.0217355
+0.021859
+0.0221806
+0.0227003
+0.0234007
+0.0242693
+0.0252923
+0.0264574
+0.0277469
+0.0291364
+0.0305977
+0.0321419
+0.0337578
+0.0354354
+0.0371665
+0.038286
+0.0393326
+0.0404359
+0.0415955
+0.0428118
+0.0440711
+0.0453864
+0.0467571
+0.0481884
+0.0496742
+0.0511571
+0.052678
+0.0716021
+0.0696042
+0.0676182
+0.0656453
+0.0636867
+0.0617436
+0.0598176
+0.0579105
+0.0560241
+0.0541606
+0.0523225
+0.0505125
+0.0487308
+0.0469798
+0.045267
+0.043597
+0.041975
+0.0404066
+0.0388985
+0.0374578
+0.0360926
+0.0348119
+0.0336252
+0.0323875
+0.0308298
+0.029353
+0.0279701
+0.0266954
+0.0255454
+0.0245374
+0.0236897
+0.0229967
+0.0224787
+0.0221661
+0.0220677
+0.0221861
+0.0224984
+0.0219925
+0.0216236
+0.0214729
+0.0215284
+0.0217789
+0.0222434
+0.0228869
+0.023698
+0.02275
+0.0211483
+0.0196605
+0.0182978
+0.017075
+0.0160306
+0.0152316
+0.014614
+0.0142028
+0.0139885
+0.0140224
+0.0141802
+0.0145278
+0.0150557
+0.015392
+0.0158024
+0.0163574
+0.0171017
+0.017825
+0.0185776
+0.0194592
+0.020187
+0.0209613
+0.0215908
+0.0221179
+0.0222759
+0.0224358
+0.022191
+0.0221178
+0.0222207
+0.0225297
+0.0230277
+0.0237184
+0.0245758
+0.0255865
+0.0267389
+0.0280154
+0.0293922
+0.0308414
+0.032374
+0.0339788
+0.0356461
+0.0373674
+0.0391357
+0.0403591
+0.0414351
+0.0425675
+0.0437568
+0.0450052
+0.0462989
+0.0476433
+0.0490488
+0.0505102
+0.0520108
+0.0535183
+0.0710618
+0.0690483
+0.0670459
+0.0650556
+0.0630786
+0.0611162
+0.0591699
+0.0572412
+0.0553319
+0.0534443
+0.0515807
+0.0497437
+0.0479365
+0.0461624
+0.0444232
+0.0427203
+0.0410636
+0.039459
+0.0379132
+0.0364336
+0.0350285
+0.0337074
+0.0324804
+0.0313576
+0.0300411
+0.0285234
+0.027098
+0.0257801
+0.0245871
+0.0235379
+0.0226527
+0.021932
+0.0213883
+0.0210596
+0.0209559
+0.0210806
+0.0213782
+0.0207875
+0.0203968
+0.020237
+0.0203136
+0.0205973
+0.0210879
+0.0217743
+0.0226065
+0.0229472
+0.0213601
+0.0198811
+0.0185328
+0.0173302
+0.0163022
+0.0155173
+0.014945
+0.0146064
+0.0144823
+0.0145585
+0.0147723
+0.0150484
+0.015296
+0.0158273
+0.0162964
+0.0169549
+0.0175786
+0.0183944
+0.019173
+0.0201607
+0.0207819
+0.021453
+0.0219941
+0.0224608
+0.0226163
+0.0229806
+0.0227583
+0.0226475
+0.0227481
+0.0230573
+0.0235552
+0.0242308
+0.0250707
+0.0260622
+0.0271944
+0.028449
+0.0297941
+0.0312334
+0.0327513
+0.0343384
+0.035989
+0.0376947
+0.0394483
+0.0412437
+0.0425237
+0.0436279
+0.044789
+0.0460095
+0.0472946
+0.0486122
+0.0499905
+0.0514251
+0.0529116
+0.0544184
+0.0705834
+0.0685563
+0.0665395
+0.064534
+0.062541
+0.0605613
+0.0585965
+0.0566483
+0.0547184
+0.0528088
+0.0509219
+0.0490603
+0.0472269
+0.0454252
+0.043659
+0.041933
+0.0402509
+0.0386126
+0.0370315
+0.0355151
+0.0340722
+0.0327125
+0.0314467
+0.0302856
+0.0292235
+0.0278117
+0.0263478
+0.0249904
+0.0237578
+0.0226703
+0.0217497
+0.0210176
+0.0204523
+0.0201082
+0.0199996
+0.0201302
+0.0203734
+0.0197528
+0.0193411
+0.0191726
+0.0192534
+0.0195612
+0.0200771
+0.0208119
+0.0216588
+0.0226855
+0.0217649
+0.0203154
+0.0189979
+0.0178442
+0.0168477
+0.0160893
+0.0155778
+0.0152698
+0.0151907
+0.0153291
+0.0154042
+0.0153781
+0.0156204
+0.016141
+0.0167683
+0.0174579
+0.0180813
+0.0188158
+0.0193989
+0.0201927
+0.0206743
+0.0212633
+0.0220551
+0.0228082
+0.0231158
+0.0234724
+0.0234771
+0.0233714
+0.0234689
+0.0237688
+0.0242635
+0.0249105
+0.0257222
+0.0266896
+0.0277963
+0.0290131
+0.0303315
+0.0317464
+0.0332456
+0.0348181
+0.0364545
+0.0381452
+0.039879
+0.0416559
+0.0434706
+0.0447705
+0.0459027
+0.0470943
+0.0483506
+0.0496582
+0.0510089
+0.0524157
+0.0538748
+0.0553803
+0.070169
+0.0681296
+0.0660997
+0.0640806
+0.062073
+0.0600782
+0.0580976
+0.0561325
+0.0541848
+0.0522563
+0.0503493
+0.0484663
+0.0466096
+0.044783
+0.0429905
+0.0412365
+0.039526
+0.0378651
+0.0362605
+0.0347108
+0.033233
+0.0318374
+0.0305354
+0.0293323
+0.0282346
+0.027258
+0.0257626
+0.0243727
+0.0231071
+0.0219874
+0.021037
+0.020279
+0.0196919
+0.0193343
+0.0192213
+0.0193572
+0.0195575
+0.0189161
+0.0184859
+0.0183094
+0.018394
+0.018716
+0.0192546
+0.0200196
+0.0208986
+0.0219608
+0.0223778
+0.0209707
+0.0196971
+0.0185868
+0.0176323
+0.0169092
+0.0164251
+0.0161889
+0.0161386
+0.0160248
+0.0160146
+0.0160036
+0.0162366
+0.016738
+0.0173856
+0.0178039
+0.0182375
+0.0189053
+0.019474
+0.0201185
+0.0205203
+0.0211136
+0.0219108
+0.0228905
+0.0237938
+0.0241403
+0.0243542
+0.0242618
+0.0243557
+0.0246448
+0.0251185
+0.0257379
+0.0265244
+0.0274635
+0.0285401
+0.0297266
+0.0310146
+0.0323997
+0.03387
+0.0354148
+0.0370248
+0.0386919
+0.040409
+0.0421701
+0.0439698
+0.0457988
+0.047092
+0.0482542
+0.0494811
+0.0507596
+0.0520989
+0.0534777
+0.0549086
+0.0563865
+0.0695603
+0.0675969
+0.0656479
+0.0636992
+0.0616792
+0.0596713
+0.0576767
+0.0556968
+0.0537333
+0.051788
+0.0498631
+0.0479609
+0.0460844
+0.0442368
+0.0424219
+0.0406441
+0.0389083
+0.0372206
+0.0355877
+0.0340169
+0.0325178
+0.0310923
+0.0297395
+0.0284895
+0.027358
+0.0263604
+0.0253538
+0.0239401
+0.0226504
+0.021507
+0.0205344
+0.0197511
+0.0191532
+0.0187853
+0.018669
+0.0188089
+0.018918
+0.0182772
+0.0178599
+0.0176771
+0.0177648
+0.018098
+0.0186543
+0.019443
+0.0203469
+0.0214365
+0.0226479
+0.0218133
+0.0205889
+0.0195341
+0.0186427
+0.0179604
+0.0175044
+0.0172849
+0.0170096
+0.0166484
+0.0165588
+0.0167576
+0.0170859
+0.017419
+0.0176349
+0.0181151
+0.0185776
+0.0192336
+0.0197929
+0.0201989
+0.0205883
+0.0211886
+0.0219815
+0.0229567
+0.0240727
+0.0248175
+0.0249881
+0.025295
+0.0253911
+0.0256685
+0.0261236
+0.0267198
+0.0274781
+0.0283857
+0.0294287
+0.0305806
+0.0318342
+0.0331851
+0.034622
+0.0361346
+0.037714
+0.0393519
+0.0410414
+0.0427764
+0.0445516
+0.0463623
+0.0482046
+0.049484
+0.0506811
+0.0519301
+0.0532399
+0.0546062
+0.056009
+0.0574586
+0.0689964
+0.0670165
+0.0650501
+0.0630985
+0.0611632
+0.0592456
+0.0573365
+0.0553444
+0.053368
+0.0514088
+0.0494691
+0.0475513
+0.0456579
+0.0437924
+0.0419582
+0.0401598
+0.0384022
+0.0366912
+0.0350337
+0.0334376
+0.0319121
+0.0304579
+0.029074
+0.0277941
+0.0266331
+0.0256072
+0.0247333
+0.0236945
+0.0223906
+0.0212228
+0.0202208
+0.0194152
+0.0188314
+0.0184633
+0.0183449
+0.0184872
+0.018517
+0.0178619
+0.017459
+0.0172903
+0.0173799
+0.0177279
+0.0182955
+0.0190701
+0.020021
+0.0211274
+0.0223555
+0.0228301
+0.0216632
+0.0206634
+0.0198445
+0.0192049
+0.0187721
+0.0182938
+0.0177964
+0.0174396
+0.0173541
+0.0173908
+0.017464
+0.0177228
+0.0179436
+0.0184109
+0.0190754
+0.0196758
+0.0201469
+0.0204721
+0.0208533
+0.0214462
+0.0222298
+0.0231947
+0.024319
+0.0255328
+0.0257533
+0.0260512
+0.0265264
+0.0268324
+0.0272681
+0.0278397
+0.0285684
+0.0294424
+0.0304491
+0.0315639
+0.0327798
+0.0340933
+0.0354935
+0.0369705
+0.0385155
+0.0401208
+0.0417792
+0.0434848
+0.0452322
+0.0470167
+0.0488343
+0.0506814
+0.0519458
+0.0531651
+0.0544452
+0.0557821
+0.0571716
+0.058593
+0.0684979
+0.0665032
+0.0645212
+0.0625531
+0.0606003
+0.0586643
+0.0567469
+0.0548499
+0.0529755
+0.0511208
+0.0491698
+0.0472397
+0.0453334
+0.0434539
+0.0416048
+0.0397905
+0.0380158
+0.0362865
+0.0346096
+0.032993
+0.031446
+0.0299691
+0.0285615
+0.0272575
+0.0260727
+0.0250238
+0.0241288
+0.0234052
+0.022311
+0.0211388
+0.0201326
+0.0193234
+0.0187367
+0.0183667
+0.0182477
+0.0183908
+0.0183703
+0.0177098
+0.0173033
+0.0171332
+0.0172236
+0.0175746
+0.018147
+0.0189277
+0.0198992
+0.0210165
+0.0222758
+0.0236467
+0.0228973
+0.0219537
+0.0211901
+0.0204106
+0.0195924
+0.0189112
+0.0184643
+0.0181377
+0.0179006
+0.0179298
+0.017992
+0.0182434
+0.018467
+0.0189125
+0.01956
+0.0202379
+0.0206517
+0.0209688
+0.021341
+0.0219207
+0.022688
+0.0236341
+0.0247385
+0.0259685
+0.026676
+0.0269629
+0.0274147
+0.0280053
+0.0285275
+0.0290744
+0.0297729
+0.0306125
+0.031582
+0.0326647
+0.0338411
+0.0351149
+0.0364759
+0.0379146
+0.0394227
+0.0409924
+0.0426169
+0.0442903
+0.0460071
+0.0477627
+0.0495529
+0.0513742
+0.0532234
+0.0544603
+0.0557107
+0.0570178
+0.0583779
+0.0597862
+0.0680664
+0.0660586
+0.0640629
+0.0620803
+0.0601121
+0.0581599
+0.0562252
+0.05431
+0.0524163
+0.0505467
+0.0486956
+0.0468714
+0.0450798
+0.0432239
+0.0413646
+0.0395392
+0.0377527
+0.0360109
+0.0343205
+0.0326896
+0.0311275
+0.0296345
+0.0282103
+0.0268893
+0.0256874
+0.0246222
+0.023712
+0.0229753
+0.0224292
+0.0212812
+0.0202821
+0.0194791
+0.0188972
+0.0185304
+0.0184125
+0.0185543
+0.0184808
+0.0178244
+0.0174206
+0.0172549
+0.0173447
+0.0176933
+0.0182621
+0.019038
+0.0200041
+0.0211159
+0.0223832
+0.0237507
+0.0242668
+0.0232111
+0.0221481
+0.0211366
+0.020272
+0.0196151
+0.0191872
+0.0189023
+0.0186749
+0.0187031
+0.0187471
+0.0189884
+0.0192057
+0.0196443
+0.0202686
+0.0209372
+0.0213701
+0.0216746
+0.0220367
+0.0225986
+0.0233436
+0.0242642
+0.0253411
+0.0265538
+0.0275529
+0.0279899
+0.0284207
+0.0289907
+0.0297118
+0.0304043
+0.0310729
+0.0318783
+0.0328104
+0.0338588
+0.0350074
+0.0362403
+0.0375605
+0.0389592
+0.0404283
+0.0419604
+0.0435489
+0.0451877
+0.0468717
+0.048596
+0.0503567
+0.0521499
+0.0539725
+0.0558114
+0.0570322
+0.0583097
+0.0596404
+0.0610207
+0.067703
+0.0656841
+0.0636766
+0.0616816
+0.0597003
+0.0577341
+0.0557847
+0.0538538
+0.0519422
+0.05005
+0.0481825
+0.046342
+0.0445292
+0.0427514
+0.0410055
+0.0393043
+0.0376156
+0.0358671
+0.0341696
+0.0325311
+0.030961
+0.0294502
+0.0280206
+0.0266945
+0.0254853
+0.0244113
+0.0234929
+0.0227491
+0.0221974
+0.0216456
+0.0206641
+0.0198765
+0.0193065
+0.0189447
+0.0188293
+0.018968
+0.0188008
+0.0181559
+0.0177596
+0.0176192
+0.0177071
+0.0180395
+0.0185976
+0.0193885
+0.0203441
+0.0214399
+0.0226891
+0.0240395
+0.0251597
+0.0241163
+0.0229829
+0.021973
+0.0211427
+0.0205137
+0.020105
+0.01988
+0.0196639
+0.0196652
+0.0196854
+0.0199154
+0.0201226
+0.0205417
+0.0211395
+0.021824
+0.0222817
+0.0225647
+0.0229214
+0.0234621
+0.0241806
+0.0250704
+0.0261142
+0.0272925
+0.0282655
+0.0291455
+0.0295551
+0.0301037
+0.0307987
+0.0316304
+0.0324688
+0.0332404
+0.0341353
+0.0351442
+0.0362576
+0.03746
+0.0387387
+0.0400964
+0.0415253
+0.0430184
+0.0445691
+0.0461717
+0.047821
+0.0495124
+0.0512415
+0.0530048
+0.054799
+0.056621
+0.058406
+0.0596541
+0.0609555
+0.0623066
+0.0674089
+0.0653809
+0.0633638
+0.0613586
+0.0593664
+0.0573861
+0.0554196
+0.0534704
+0.0515408
+0.0496327
+0.047749
+0.0458925
+0.0440667
+0.0422621
+0.0404952
+0.0387715
+0.0370972
+0.0354792
+0.0339255
+0.0324455
+0.0309267
+0.0294059
+0.0279741
+0.0266456
+0.0254367
+0.0243652
+0.0234448
+0.0226989
+0.0221455
+0.0217992
+0.021266
+0.0205015
+0.0199257
+0.0195724
+0.0194607
+0.0195949
+0.0193435
+0.0187318
+0.0183479
+0.018191
+0.0182761
+0.0186201
+0.0191676
+0.019936
+0.0208672
+0.0219736
+0.0231986
+0.0245214
+0.0259612
+0.0250695
+0.0239556
+0.0229886
+0.0221963
+0.021598
+0.0212101
+0.0210412
+0.020813
+0.0207937
+0.0208128
+0.0210305
+0.0212268
+0.0216246
+0.0221932
+0.0228858
+0.0233636
+0.023625
+0.0239743
+0.0244918
+0.0251808
+0.0260365
+0.027043
+0.0281826
+0.0291258
+0.0301882
+0.0308037
+0.0313304
+0.0319988
+0.0328001
+0.0337249
+0.0346875
+0.035546
+0.0365159
+0.0375887
+0.0387557
+0.0400023
+0.0413185
+0.0427065
+0.0441597
+0.0456717
+0.0472369
+0.0488503
+0.0505071
+0.0522033
+0.0539352
+0.0556994
+0.0574929
+0.0593132
+0.0610475
+0.0618816
+0.0626376
+0.0671849
+0.0651492
+0.0631211
+0.0611035
+0.0590983
+0.0571067
+0.0551302
+0.0531704
+0.0512294
+0.0493094
+0.0474128
+0.0455426
+0.0437021
+0.0418818
+0.0400981
+0.0383567
+0.0366634
+0.0350254
+0.0334506
+0.0319486
+0.0305299
+0.0292068
+0.0279928
+0.0267765
+0.0255738
+0.0245083
+0.0235934
+0.0228524
+0.0223028
+0.021959
+0.0217927
+0.0213157
+0.0207559
+0.020417
+0.02031
+0.0204386
+0.0200897
+0.0194973
+0.0191288
+0.0189784
+0.01906
+0.0193904
+0.0199245
+0.0206647
+0.0216008
+0.0226413
+0.0235927
+0.0247023
+0.0259449
+0.0261477
+0.0250764
+0.0241543
+0.0234015
+0.0228287
+0.0224504
+0.0222821
+0.0221007
+0.0220825
+0.0221004
+0.0223056
+0.0224901
+0.0228622
+0.0234006
+0.0240646
+0.0245936
+0.0248185
+0.0251565
+0.0256675
+0.0263258
+0.0271454
+0.0281122
+0.0292101
+0.0301212
+0.0311497
+0.0321532
+0.0326582
+0.0332999
+0.0340706
+0.0349619
+0.0359626
+0.0370326
+0.0379646
+0.0389975
+0.0401235
+0.0413351
+0.0426182
+0.0439652
+0.0453781
+0.0468508
+0.0483779
+0.0499544
+0.0515758
+0.053238
+0.0549373
+0.0566703
+0.058434
+0.0602258
+0.0609935
+0.0616827
+0.0624412
+0.0670219
+0.0649777
+0.0629434
+0.06092
+0.0589085
+0.0569102
+0.0549267
+0.0529594
+0.0510104
+0.0490818
+0.047176
+0.045296
+0.0434452
+0.0416135
+0.0398178
+0.0380636
+0.0363566
+0.0347041
+0.0331141
+0.031596
+0.0301608
+0.0288208
+0.0275898
+0.0264832
+0.025517
+0.0247077
+0.0239424
+0.0232126
+0.0226717
+0.0223335
+0.02217
+0.0222179
+0.0217757
+0.0214529
+0.0213511
+0.0214735
+0.021033
+0.020459
+0.0201071
+0.0199463
+0.0199396
+0.0198848
+0.020025
+0.0204009
+0.0209997
+0.0218032
+0.0227896
+0.0239364
+0.0252169
+0.0265929
+0.0263072
+0.0254298
+0.0247158
+0.0241692
+0.0238122
+0.0236536
+0.0235222
+0.0235051
+0.0235204
+0.0236984
+0.0238575
+0.0242146
+0.0247284
+0.0253764
+0.0259249
+0.026128
+0.0264492
+0.0269453
+0.0275792
+0.0283626
+0.0292892
+0.030346
+0.0312386
+0.0322317
+0.0333208
+0.0340752
+0.0346907
+0.0354312
+0.036289
+0.0372544
+0.0382986
+0.0394367
+0.0404759
+0.0415619
+0.0427327
+0.0439815
+0.045295
+0.0466676
+0.0481008
+0.0495895
+0.0511287
+0.0527139
+0.0543413
+0.0560071
+0.057708
+0.0594409
+0.0602341
+0.0608531
+0.0615199
+0.062242
+0.0669263
+0.0648792
+0.0628417
+0.0608148
+0.0587998
+0.0567977
+0.05481
+0.0528385
+0.0508848
+0.0489512
+0.0470402
+0.0451545
+0.0432976
+0.0414594
+0.0396568
+0.037895
+0.0361802
+0.0345192
+0.0329202
+0.0313928
+0.0299478
+0.0285978
+0.0273569
+0.0262404
+0.0252649
+0.0244473
+0.0237796
+0.0232851
+0.0229896
+0.0229005
+0.0227367
+0.0227833
+0.022959
+0.022653
+0.0225566
+0.0226725
+0.0217831
+0.0208318
+0.0200755
+0.0195367
+0.0192338
+0.019177
+0.0193223
+0.0197116
+0.0203307
+0.0211596
+0.0221747
+0.0233517
+0.0246625
+0.0260679
+0.0275758
+0.0268238
+0.0261435
+0.0256272
+0.0252908
+0.0251414
+0.0250549
+0.0250389
+0.0250388
+0.0251895
+0.0253393
+0.0256758
+0.0261724
+0.0268032
+0.0273571
+0.0275497
+0.0278545
+0.028326
+0.0289296
+0.0296774
+0.0305642
+0.0315784
+0.0324432
+0.0334098
+0.0344739
+0.0354005
+0.0361608
+0.0368718
+0.0376969
+0.0386272
+0.0396354
+0.0407362
+0.0419226
+0.0430637
+0.0441947
+0.0454033
+0.0466835
+0.0480225
+0.0494164
+0.0508666
+0.0523682
+0.0539171
+0.0555092
+0.057141
+0.058809
+0.0595663
+0.0601123
+0.0606897
+0.0613369
+0.0620547
+0.0669024
+0.0648545
+0.0628162
+0.0607885
+0.0587726
+0.0567695
+0.0547809
+0.0528082
+0.0508534
+0.0489185
+0.0470062
+0.0451191
+0.0432607
+0.0414208
+0.0396164
+0.0378527
+0.0361359
+0.0344728
+0.0328716
+0.0313418
+0.0298943
+0.0285418
+0.0272982
+0.0261793
+0.0252014
+0.0243817
+0.0237123
+0.0232163
+0.0229199
+0.0228308
+0.0229513
+0.0232784
+0.0237766
+0.0236728
+0.0229825
+0.0224853
+0.0213647
+0.0203939
+0.0196207
+0.0190691
+0.0187587
+0.0187004
+0.0188494
+0.0192482
+0.0198818
+0.0207286
+0.0217638
+0.022962
+0.0242938
+0.0257193
+0.0272465
+0.0283188
+0.0276709
+0.0271837
+0.0268667
+0.0267262
+0.026668
+0.0266529
+0.0266509
+0.026777
+0.0269179
+0.027235
+0.0277146
+0.0283278
+0.0288846
+0.0290671
+0.0293561
+0.0298039
+0.0303781
+0.0310911
+0.0319387
+0.0329105
+0.0337448
+0.0343862
+0.0350328
+0.0357995
+0.0366811
+0.0376697
+0.0387429
+0.0399068
+0.0410456
+0.0421095
+0.0432583
+0.0444853
+0.045715
+0.0468844
+0.0481252
+0.049432
+0.0507925
+0.0522044
+0.0536686
+0.055181
+0.0567377
+0.0583351
+0.0589678
+0.0594074
+0.0599186
+0.0604947
+0.061144
+0.0618641
+0.0669502
+0.0649038
+0.0628671
+0.0608412
+0.058827
+0.0568259
+0.0548392
+0.0528687
+0.0509162
+0.0489839
+0.0470742
+0.04519
+0.0433346
+0.0414979
+0.039697
+0.0379371
+0.0362242
+0.0345654
+0.0329687
+0.0314436
+0.0300011
+0.0286536
+0.0274151
+0.0262975
+0.0253179
+0.0244956
+0.0238416
+0.0233484
+0.0230536
+0.022965
+0.0230849
+0.02341
+0.0235631
+0.0226642
+0.0219422
+0.0214208
+0.021115
+0.020184
+0.0194024
+0.0188445
+0.0185303
+0.0184723
+0.0186238
+0.0190274
+0.0196681
+0.0205237
+0.0215688
+0.0227771
+0.0241062
+0.0255378
+0.0270713
+0.0286902
+0.0292827
+0.0288227
+0.028524
+0.0283917
+0.0283572
+0.0283431
+0.0283407
+0.0284447
+0.0285774
+0.0288762
+0.029336
+0.0299216
+0.0304808
+0.030666
+0.0309401
+0.0313652
+0.0319114
+0.0325909
+0.0334004
+0.0337709
+0.0341839
+0.0347305
+0.0354043
+0.0361985
+0.0371051
+0.0381162
+0.0392045
+0.0403806
+0.0416354
+0.0429447
+0.0441847
+0.0453936
+0.046674
+0.0480203
+0.049427
+0.0508892
+0.0522197
+0.0535984
+0.0550255
+0.0565016
+0.0580228
+0.0584787
+0.0588488
+0.0592893
+0.0598014
+0.0603787
+0.0610292
+0.0617507
+0.0670696
+0.0650269
+0.0629942
+0.0609725
+0.0589628
+0.0569664
+0.0549849
+0.0530198
+0.0510731
+0.0491469
+0.0472438
+0.0453666
+0.0435165
+0.0416883
+0.0398963
+0.0381459
+0.0364431
+0.0347941
+0.0332037
+0.0316849
+0.0302486
+0.0289071
+0.0276742
+0.026565
+0.0255957
+0.0247825
+0.0241363
+0.0236492
+0.0233583
+0.0232708
+0.0233891
+0.0237101
+0.022746
+0.0218236
+0.0210789
+0.0205356
+0.0202164
+0.0200897
+0.0193848
+0.0188263
+0.0185118
+0.0184538
+0.0186186
+0.0190222
+0.0196631
+0.020519
+0.0215642
+0.0227729
+0.0240914
+0.0255239
+0.0270581
+0.0286777
+0.0303683
+0.030531
+0.0302492
+0.0301245
+0.0301112
+0.0300979
+0.0300952
+0.0301794
+0.0303045
+0.0305865
+0.0310209
+0.0310992
+0.0310688
+0.0311561
+0.0313964
+0.0317862
+0.032158
+0.0326139
+0.0331956
+0.0338095
+0.034222
+0.034768
+0.0354411
+0.0362344
+0.0371402
+0.0381504
+0.0392428
+0.0404178
+0.0416749
+0.0430069
+0.0444071
+0.0458692
+0.0472397
+0.0485703
+0.0499615
+0.0514085
+0.0529066
+0.0544517
+0.0560351
+0.0576574
+0.0581375
+0.0584409
+0.0588112
+0.0592519
+0.0597591
+0.0603214
+0.0609573
+0.0616646
+0.0672601
+0.0652235
+0.0631971
+0.061182
+0.0591794
+0.0571907
+0.0552172
+0.0532607
+0.0513231
+0.0494066
+0.0475139
+0.0456382
+0.0437887
+0.041972
+0.0401927
+0.0384559
+0.0367676
+0.0351337
+0.0335592
+0.0320573
+0.0306384
+0.0293148
+0.0280998
+0.0270081
+0.0260552
+0.0252569
+0.0246231
+0.0241459
+0.023861
+0.0237754
+0.0238912
+0.0232346
+0.0221164
+0.0211645
+0.0203895
+0.0198274
+0.0194966
+0.0193741
+0.0194855
+0.0190608
+0.0187503
+0.018693
+0.0188557
+0.0192544
+0.0198878
+0.0207344
+0.0217693
+0.0229671
+0.0242751
+0.0256974
+0.0272218
+0.0288322
+0.0305142
+0.0322558
+0.0320313
+0.0319136
+0.0319192
+0.0319066
+0.0319037
+0.0319687
+0.0314415
+0.0310029
+0.0307147
+0.0305811
+0.0306041
+0.0307765
+0.0310796
+0.0315323
+0.0319781
+0.0324366
+0.0330214
+0.0337154
+0.0342233
+0.0348319
+0.0355652
+0.0363824
+0.0372845
+0.0382909
+0.0393935
+0.0405734
+0.0418258
+0.0431532
+0.0445488
+0.0460064
+0.0475203
+0.0490854
+0.0505853
+0.052015
+0.0534961
+0.0550247
+0.056592
+0.0579446
+0.0581767
+0.058449
+0.0587794
+0.0591891
+0.0596764
+0.0602395
+0.0608763
+0.0615778
+0.0675213
+0.0654927
+0.0634749
+0.061469
+0.059476
+0.0574975
+0.0555349
+0.05359
+0.0516648
+0.0497571
+0.0478662
+0.046002
+0.0441677
+0.0423673
+0.0406053
+0.0388869
+0.0372181
+0.0356049
+0.0340523
+0.0325731
+0.0311777
+0.029878
+0.0286868
+0.0276184
+0.0266873
+0.0259085
+0.025291
+0.0248266
+0.0245496
+0.0244664
+0.0240689
+0.0228072
+0.0216619
+0.0206745
+0.0198804
+0.0193034
+0.0189635
+0.0188691
+0.0189835
+0.0193468
+0.0192368
+0.019181
+0.0193396
+0.0197285
+0.0203471
+0.0211754
+0.0221898
+0.023366
+0.0246528
+0.0260545
+0.0275592
+0.029151
+0.0308156
+0.0325411
+0.0338615
+0.0337501
+0.0337656
+0.033216
+0.0323879
+0.0316732
+0.0310839
+0.0306402
+0.0303485
+0.0302133
+0.0302366
+0.0304111
+0.0307177
+0.0311757
+0.0317784
+0.0324067
+0.0329625
+0.0335472
+0.0342222
+0.0348307
+0.0355641
+0.0364146
+0.0373743
+0.0384351
+0.0395875
+0.0408184
+0.0420785
+0.0434023
+0.0447941
+0.046247
+0.0477533
+0.049311
+0.0509152
+0.0525619
+0.0541679
+0.055678
+0.0572274
+0.0579919
+0.0581826
+0.0584255
+0.0587402
+0.0591344
+0.0596066
+0.060155
+0.0607773
+0.0614715
+0.0678521
+0.0658338
+0.0638268
+0.0618322
+0.0598514
+0.0578857
+0.0559368
+0.0540055
+0.0520854
+0.0501867
+0.0483126
+0.0464663
+0.0446511
+0.042871
+0.0411306
+0.0394351
+0.0377905
+0.0362028
+0.034677
+0.0332256
+0.0318588
+0.030588
+0.0294257
+0.028385
+0.0274799
+0.0267242
+0.026126
+0.0256767
+0.025409
+0.0252418
+0.0238413
+0.0225669
+0.0214087
+0.0204091
+0.0196042
+0.0190189
+0.0186738
+0.0185779
+0.0186941
+0.019063
+0.0196704
+0.0198996
+0.0200525
+0.0204278
+0.0210259
+0.0218284
+0.0228138
+0.0239594
+0.025216
+0.0265879
+0.0280641
+0.0296287
+0.0312679
+0.0329697
+0.0347263
+0.0350428
+0.0339775
+0.0330234
+0.0321903
+0.0314711
+0.0308779
+0.0304312
+0.0301375
+0.0300013
+0.0300248
+0.0302005
+0.0305093
+0.0309703
+0.031577
+0.0322124
+0.0327683
+0.0333565
+0.0340577
+0.0348734
+0.0356976
+0.036545
+0.0375015
+0.0385587
+0.0397075
+0.0409348
+0.0422401
+0.0436164
+0.0450573
+0.0465566
+0.0480704
+0.0496217
+0.0512197
+0.0528603
+0.0545381
+0.0562475
+0.0579388
+0.0580095
+0.0581617
+0.0583957
+0.0587106
+0.059105
+0.0595775
+0.0601261
+0.0607487
+0.0614433
+0.0682518
+0.0662456
+0.0642514
+0.0622705
+0.0603041
+0.0583537
+0.0564145
+0.0544905
+0.0525873
+0.0507073
+0.0488533
+0.0470282
+0.0452355
+0.0434794
+0.0417643
+0.0400956
+0.0384793
+0.0369212
+0.0354264
+0.034007
+0.0326729
+0.031435
+0.0303052
+0.0292958
+0.0284197
+0.0276896
+0.0271125
+0.0266798
+0.0264222
+0.0252137
+0.0238029
+0.0225172
+0.0213767
+0.0203771
+0.0195709
+0.0189846
+0.0186388
+0.0185427
+0.0186591
+0.0190287
+0.0196372
+0.0204632
+0.020971
+0.0213302
+0.0219036
+0.0226751
+0.0236251
+0.0247333
+0.0259524
+0.0272873
+0.0287275
+0.0302579
+0.0318648
+0.0335363
+0.0352647
+0.0347126
+0.0337195
+0.0328428
+0.0320919
+0.0314208
+0.0308267
+0.0303792
+0.030085
+0.0299486
+0.0299721
+0.0301481
+0.0304574
+0.0309192
+0.0315268
+0.032136
+0.03272
+0.033309
+0.0340112
+0.034828
+0.0357605
+0.0368
+0.0377555
+0.0388058
+0.0399475
+0.0411676
+0.0424658
+0.043835
+0.0452689
+0.0467615
+0.0483073
+0.0499014
+0.0515394
+0.0532172
+0.0549007
+0.0566042
+0.0579913
+0.0580609
+0.0582129
+0.0584467
+0.0587613
+0.0591554
+0.0596275
+0.0601756
+0.0607978
+0.0614917
+0.0687189
+0.0667268
+0.0647475
+0.0627822
+0.06083
+0.0588873
+0.0569625
+0.0550576
+0.0531747
+0.0513163
+0.0494851
+0.0476842
+0.0459171
+0.0441881
+0.0425016
+0.0408631
+0.0392783
+0.0377533
+0.0362927
+0.0349085
+0.0336103
+0.0324082
+0.0313135
+0.0303376
+0.0294926
+0.0287897
+0.0282215
+0.0278061
+0.0268434
+0.025341
+0.0239377
+0.0226597
+0.0215292
+0.0205439
+0.0197446
+0.0191636
+0.0188211
+0.0187303
+0.0188619
+0.0192276
+0.0198299
+0.0206483
+0.0216581
+0.0224038
+0.0229498
+0.0236803
+0.0245849
+0.0256452
+0.0268425
+0.0281346
+0.029531
+0.0310194
+0.0325872
+0.0342234
+0.0356109
+0.0345049
+0.0335057
+0.0326232
+0.0318671
+0.0312416
+0.0307347
+0.0303777
+0.0301737
+0.0300376
+0.0300611
+0.0302366
+0.030545
+0.0310055
+0.0316103
+0.0322073
+0.0328182
+0.0334055
+0.0341057
+0.0349203
+0.0358504
+0.0368874
+0.0380224
+0.0391741
+0.0403053
+0.0415149
+0.0428025
+0.0441613
+0.0455849
+0.0470675
+0.0486036
+0.0501883
+0.0518172
+0.0534863
+0.0551917
+0.0569207
+0.0580467
+0.0581163
+0.0582682
+0.0585017
+0.058816
+0.0592098
+0.0596814
+0.060229
+0.0608507
+0.061544
+0.0692523
+0.0672759
+0.0653127
+0.0633578
+0.0614168
+0.0594932
+0.0575887
+0.0557052
+0.053845
+0.0520105
+0.0502046
+0.0484305
+0.0466917
+0.0449924
+0.0433373
+0.0417315
+0.0401811
+0.0386916
+0.0372678
+0.0359212
+0.0346609
+0.0334966
+0.0324386
+0.0314977
+0.0306845
+0.0300048
+0.029452
+0.0287148
+0.0271404
+0.0256554
+0.0242703
+0.0230107
+0.0218984
+0.0209305
+0.0201465
+0.0195774
+0.0192423
+0.0191535
+0.0192822
+0.0196401
+0.0202302
+0.0210329
+0.0220252
+0.0231784
+0.024118
+0.0248148
+0.0256795
+0.0266963
+0.0278485
+0.029096
+0.0304483
+0.0318939
+0.0334207
+0.035018
+0.0355274
+0.0344301
+0.0334289
+0.0325446
+0.031787
+0.0311604
+0.0306521
+0.0302941
+0.0300917
+0.0300482
+0.030164
+0.0304375
+0.0307763
+0.0312334
+0.0318338
+0.0324266
+0.0330616
+0.0336446
+0.0343399
+0.0351491
+0.0360733
+0.037104
+0.0382326
+0.0394028
+0.0406125
+0.041902
+0.0432478
+0.044593
+0.0460032
+0.0474727
+0.0489961
+0.0505686
+0.0521856
+0.0538432
+0.0555377
+0.0572562
+0.0581847
+0.0582541
+0.0584056
+0.0586386
+0.0589522
+0.059345
+0.0598156
+0.060362
+0.0609823
+0.0616742
+0.0698447
+0.0678814
+0.0659325
+0.0639963
+0.0620754
+0.0601728
+0.0582905
+0.0564305
+0.054595
+0.0527866
+0.0510081
+0.0492629
+0.0475546
+0.0458873
+0.0442656
+0.0426948
+0.0411806
+0.0397287
+0.0383434
+0.0370359
+0.0358149
+0.0346893
+0.0336688
+0.0327632
+0.0319823
+0.0313185
+0.0307848
+0.0291577
+0.0276086
+0.0261502
+0.0247927
+0.0235611
+0.022476
+0.0215341
+0.0207729
+0.0202214
+0.0198972
+0.0198113
+0.0199358
+0.0202821
+0.020854
+0.0216337
+0.0225995
+0.0237249
+0.0249753
+0.0260843
+0.0269082
+0.0278803
+0.0289854
+0.030186
+0.0314915
+0.0328913
+0.0343738
+0.0359288
+0.0352338
+0.0342242
+0.0333023
+0.0325002
+0.0318288
+0.0312142
+0.0307068
+0.0303495
+0.0301475
+0.030104
+0.0302196
+0.0304926
+0.0309188
+0.0314102
+0.032026
+0.0325862
+0.0331167
+0.0337538
+0.0344397
+0.0352486
+0.0361722
+0.0372002
+0.0383259
+0.0395411
+0.0408377
+0.0422052
+0.0435797
+0.0449861
+0.0464532
+0.0479747
+0.0494826
+0.0510401
+0.0526426
+0.0542863
+0.0559674
+0.0576731
+0.0583933
+0.0584656
+0.0586166
+0.0588488
+0.0591612
+0.0595527
+0.0600215
+0.0605366
+0.0611096
+0.061755
+0.0704926
+0.0685479
+0.0666185
+0.0647028
+0.0628035
+0.0609237
+0.0590653
+0.0572305
+0.0554214
+0.0536409
+0.0518918
+0.0501773
+0.0485012
+0.0468676
+0.045281
+0.0437467
+0.0422702
+0.040857
+0.0395113
+0.0382438
+0.0370625
+0.035976
+0.0349931
+0.0341227
+0.0333689
+0.0327263
+0.0313518
+0.0297557
+0.0282394
+0.0268153
+0.0254933
+0.0242972
+0.0232379
+0.0223203
+0.0215867
+0.0210565
+0.0207452
+0.0206627
+0.0207834
+0.0211158
+0.0216658
+0.0224172
+0.0233507
+0.0244453
+0.0256709
+0.027009
+0.0282536
+0.0291809
+0.0302386
+0.0313912
+0.0326486
+0.0340008
+0.0354369
+0.0361934
+0.0350748
+0.0340352
+0.033106
+0.032299
+0.0316234
+0.0310878
+0.0306995
+0.0304409
+0.0303315
+0.0303184
+0.0304332
+0.0307043
+0.0311249
+0.0316158
+0.0322277
+0.0327843
+0.0333118
+0.0339725
+0.034654
+0.035458
+0.0363763
+0.0373987
+0.0385186
+0.0397279
+0.0410186
+0.0423833
+0.0438122
+0.0452847
+0.046813
+0.0483605
+0.0499208
+0.051527
+0.0531721
+0.0547999
+0.0564657
+0.0581664
+0.0585992
+0.0586781
+0.0588157
+0.0590156
+0.0592959
+0.0596553
+0.0600842
+0.0605823
+0.0611548
+0.0617997
+0.071202
+0.0692773
+0.0673688
+0.065475
+0.0635988
+0.0617432
+0.0599102
+0.0581021
+0.0563211
+0.0545699
+0.0528515
+0.0511692
+0.0495267
+0.047928
+0.0463778
+0.0448809
+0.043443
+0.0420692
+0.0407635
+0.0395362
+0.0383947
+0.037347
+0.0364011
+0.0355651
+0.0348316
+0.0336872
+0.0320577
+0.0304986
+0.0290211
+0.0276385
+0.0263579
+0.0251873
+0.0241453
+0.0232634
+0.0225605
+0.0220537
+0.0217567
+0.0216781
+0.0217984
+0.0221156
+0.0226412
+0.0233613
+0.0242585
+0.0253139
+0.0265088
+0.027825
+0.0292281
+0.0305833
+0.0315924
+0.0326956
+0.0339047
+0.0352087
+0.0365974
+0.0361483
+0.0350277
+0.0339846
+0.0330541
+0.0322457
+0.031569
+0.0310325
+0.0306435
+0.0303844
+0.0302748
+0.0303234
+0.0305048
+0.0307799
+0.0312021
+0.0317633
+0.0324215
+0.0330126
+0.0336194
+0.0343028
+0.0350044
+0.0358005
+0.0367102
+0.0377236
+0.0388341
+0.0400339
+0.041315
+0.0426702
+0.0440927
+0.0455734
+0.0470927
+0.0486629
+0.0502796
+0.0519383
+0.0536122
+0.0552848
+0.0569925
+0.0587246
+0.0587752
+0.0588123
+0.0589309
+0.0591304
+0.0594101
+0.0597689
+0.0602053
+0.060707
+0.0612783
+0.061922
+0.0719712
+0.0700676
+0.0681812
+0.0663107
+0.0644587
+0.0626286
+0.0608223
+0.0590421
+0.0572903
+0.0555697
+0.0538832
+0.0522342
+0.0506262
+0.0490634
+0.0475502
+0.0460914
+0.0446925
+0.0433583
+0.0420926
+0.0409052
+0.039803
+0.0387933
+0.0378835
+0.0370765
+0.0361135
+0.0344595
+0.0328683
+0.0313495
+0.0299141
+0.0285747
+0.0273454
+0.0262105
+0.0252108
+0.0243675
+0.0236974
+0.0232154
+0.0229335
+0.0228589
+0.0229754
+0.0232765
+0.0237765
+0.0244632
+0.0253214
+0.0263343
+0.0274848
+0.0287564
+0.0301144
+0.0315552
+0.0330287
+0.0340855
+0.0352469
+0.036503
+0.0374448
+0.0362333
+0.0351155
+0.0340752
+0.0331472
+0.0323411
+0.0316664
+0.0311316
+0.0307439
+0.0304856
+0.0303764
+0.0304248
+0.0306057
+0.0308798
+0.0313007
+0.0318601
+0.0325163
+0.0331898
+0.0337934
+0.0345256
+0.0353786
+0.0362723
+0.0371705
+0.0381716
+0.0392695
+0.0404564
+0.0417245
+0.0430669
+0.0444766
+0.0459476
+0.0474667
+0.049025
+0.0506301
+0.0522777
+0.053964
+0.0556854
+0.0574387
+0.0590138
+0.0589694
+0.0590064
+0.0591246
+0.0593235
+0.0595975
+0.0599397
+0.0603595
+0.0608553
+0.0614253
+0.0620674
+0.0727982
+0.0709167
+0.0690535
+0.0672073
+0.0653808
+0.0635772
+0.0617987
+0.0600474
+0.0583258
+0.0566367
+0.0549829
+0.0533679
+0.0517951
+0.0502687
+0.0487928
+0.0473723
+0.0460124
+0.0447175
+0.0434915
+0.0423433
+0.0412795
+0.0403068
+0.039432
+0.0386329
+0.0369643
+0.0353501
+0.0338008
+0.0323259
+0.0309358
+0.0296426
+0.0284595
+0.0273711
+0.0264154
+0.0256118
+0.0249751
+0.0245183
+0.0242515
+0.024181
+0.0242907
+0.0245757
+0.0250498
+0.0257025
+0.0265206
+0.0274894
+0.0285934
+0.0298178
+0.0311298
+0.0325257
+0.0340055
+0.0355561
+0.036671
+0.0378798
+0.0376546
+0.03645
+0.0353392
+0.0343056
+0.033384
+0.0325839
+0.0319143
+0.0313836
+0.0309991
+0.030743
+0.0306347
+0.0306827
+0.030862
+0.0311339
+0.0315514
+0.0321065
+0.0327578
+0.0335096
+0.0341075
+0.0348331
+0.0356787
+0.036636
+0.0376786
+0.0387385
+0.0398208
+0.0409917
+0.0422438
+0.0435701
+0.0449641
+0.0464197
+0.0479267
+0.0494705
+0.0510616
+0.0526957
+0.054369
+0.056078
+0.0578194
+0.0592882
+0.059244
+0.0592665
+0.0593685
+0.059551
+0.0598133
+0.0601543
+0.0605726
+0.0610667
+0.0616347
+0.0622746
+0.073681
+0.0718227
+0.0699836
+0.0681626
+0.0663624
+0.0645862
+0.0628363
+0.0611147
+0.0594241
+0.057767
+0.0561466
+0.054566
+0.0530288
+0.0515389
+0.0501005
+0.0487181
+0.0473968
+0.0461408
+0.0449536
+0.0438437
+0.0428172
+0.0418803
+0.0410345
+0.0395509
+0.0379227
+0.036351
+0.0348463
+0.0334175
+0.0320748
+0.0308295
+0.0296937
+0.0286525
+0.0277409
+0.0269769
+0.0263732
+0.0259409
+0.0256889
+0.0256224
+0.0257256
+0.0259949
+0.0264436
+0.0270627
+0.0278408
+0.0287651
+0.029822
+0.0309979
+0.0322622
+0.0336111
+0.0350451
+0.0365543
+0.0381296
+0.0390503
+0.0378362
+0.0367127
+0.0356885
+0.0346732
+0.0337617
+0.0329707
+0.0323091
+0.0317851
+0.0314054
+0.0311527
+0.0310458
+0.0310932
+0.0312702
+0.0315385
+0.0319508
+0.032499
+0.0331426
+0.0339123
+0.0345352
+0.0352258
+0.0360365
+0.0369594
+0.0379864
+0.0390991
+0.0402881
+0.0415576
+0.0428432
+0.0441764
+0.0455519
+0.0469892
+0.0484811
+0.050008
+0.0515826
+0.0532007
+0.0548586
+0.0565528
+0.0582801
+0.0595964
+0.0595369
+0.059558
+0.0596595
+0.0598412
+0.0601022
+0.0604415
+0.0608578
+0.0613496
+0.061915
+0.0625521
+0.0746177
+0.0727834
+0.0709692
+0.0691741
+0.0674009
+0.0656529
+0.0639321
+0.0622409
+0.0605817
+0.0589572
+0.0573704
+0.0558244
+0.0543228
+0.0528694
+0.0514682
+0.0501236
+0.0488403
+0.0476224
+0.046473
+0.0454003
+0.0444098
+0.0435004
+0.0422055
+0.0405665
+0.0389807
+0.0374535
+0.0359949
+0.0346136
+0.0333191
+0.032122
+0.0310336
+0.0300392
+0.029171
+0.0284453
+0.0278734
+0.0274648
+0.0272269
+0.0271641
+0.0272612
+0.0275155
+0.0279398
+0.0285264
+0.0292657
+0.0301463
+0.0311564
+0.0322837
+0.0334998
+0.0348007
+0.0361877
+0.037651
+0.0391823
+0.0392695
+0.0380624
+0.0369458
+0.0359283
+0.0350171
+0.0342079
+0.0334966
+0.0328456
+0.0323303
+0.0319571
+0.0317088
+0.0316037
+0.0316503
+0.0318242
+0.0320879
+0.0324932
+0.0330324
+0.0336658
+0.034226
+0.0347984
+0.0354838
+0.0362887
+0.0372054
+0.0382258
+0.039332
+0.0405186
+0.0417865
+0.0431284
+0.0445377
+0.0460048
+0.0475262
+0.0490983
+0.0506348
+0.0521904
+0.0537902
+0.0554305
+0.0571077
+0.0588187
+0.0599663
+0.0599072
+0.0599282
+0.0600291
+0.0602096
+0.060469
+0.0608063
+0.0612071
+0.0616733
+0.0622121
+0.0628227
+0.0756064
+0.0737966
+0.0720079
+0.0702394
+0.0684938
+0.0667743
+0.0650832
+0.0634227
+0.0617953
+0.0602035
+0.0586504
+0.0571391
+0.055673
+0.0542558
+0.0528913
+0.0515838
+0.0503377
+0.049157
+0.0480443
+0.0470075
+0.0460414
+0.044917
+0.0432697
+0.0416726
+0.0401306
+0.0386488
+0.0372371
+0.0359035
+0.0346573
+0.0335081
+0.0324661
+0.0315172
+0.0306909
+0.030002
+0.0294603
+0.0290741
+0.0288494
+0.0287902
+0.0288815
+0.0291216
+0.0295228
+0.0300786
+0.0307806
+0.0316191
+0.0325835
+0.0336631
+0.0348313
+0.0360843
+0.0374237
+0.0388405
+0.0403266
+0.0396088
+0.0384115
+0.0373018
+0.0362906
+0.0353862
+0.0345856
+0.0338962
+0.033331
+0.0328798
+0.0325699
+0.0324037
+0.0323009
+0.0323465
+0.0325167
+0.0327748
+0.0331717
+0.0337
+0.0341685
+0.0346168
+0.0351947
+0.035874
+0.0366704
+0.0375777
+0.0385883
+0.0396844
+0.0408608
+0.0421184
+0.04345
+0.0448493
+0.0463098
+0.0478262
+0.0493912
+0.0509998
+0.0526505
+0.0543394
+0.056063
+0.0577405
+0.0594333
+0.060359
+0.0603002
+0.0603211
+0.0604214
+0.0606008
+0.0608539
+0.0611686
+0.061556
+0.0620185
+0.0625543
+0.0631616
+0.0766449
+0.0748602
+0.0730976
+0.0713561
+0.0696384
+0.067948
+0.0662868
+0.0646572
+0.0630616
+0.0615027
+0.0599832
+0.0585064
+0.0570754
+0.0556938
+0.0543655
+0.0530943
+0.0518845
+0.0507398
+0.0496603
+0.0486469
+0.0476755
+0.0460228
+0.0444166
+0.0428615
+0.0413615
+0.0399255
+0.0385605
+0.0372744
+0.0360755
+0.0349729
+0.0339741
+0.0330641
+0.0322775
+0.0316233
+0.03111
+0.0307445
+0.0305322
+0.0304763
+0.0305543
+0.0307814
+0.0311612
+0.0316883
+0.0323554
+0.0331541
+0.0340751
+0.0351089
+0.0362457
+0.0374521
+0.0387442
+0.0401144
+0.0412564
+0.0400455
+0.038872
+0.0377758
+0.0367776
+0.0358855
+0.0350963
+0.0344117
+0.0338332
+0.0333888
+0.0330837
+0.0329219
+0.0328818
+0.0329829
+0.033215
+0.0334912
+0.0339071
+0.0343346
+0.0346853
+0.035127
+0.0356978
+0.0363907
+0.0371774
+0.0380726
+0.0390704
+0.0401533
+0.0413164
+0.0425605
+0.0438788
+0.0452647
+0.0467124
+0.0482161
+0.0497688
+0.0513656
+0.0530049
+0.0546828
+0.0563959
+0.0581411
+0.0599155
+0.0607735
+0.0607152
+0.0607359
+0.0608356
+0.0610137
+0.0612698
+0.0615945
+0.0619794
+0.0624387
+0.0629707
+0.063568
+0.0777312
+0.0759721
+0.0742357
+0.07252
+0.0708306
+0.0691693
+0.0675382
+0.0659395
+0.0643757
+0.0628494
+0.0613633
+0.0599205
+0.0585241
+0.0571775
+0.0558844
+0.0546486
+0.053474
+0.0523567
+0.0513031
+0.0503228
+0.0488172
+0.0472044
+0.0456384
+0.0441241
+0.0426686
+0.041278
+0.0399593
+0.0387196
+0.0375669
+0.0365094
+0.0355373
+0.0346685
+0.033919
+0.0332971
+0.03281
+0.0324636
+0.0322626
+0.0322098
+0.0322844
+0.0324994
+0.0328593
+0.0333596
+0.0339939
+0.0347549
+0.0356346
+0.0366244
+0.0377155
+0.0388952
+0.0401409
+0.041465
+0.0415554
+0.0403489
+0.0392224
+0.0381884
+0.0372547
+0.0364099
+0.0356732
+0.0350356
+0.0344676
+0.0340314
+0.0337322
+0.0335735
+0.0335342
+0.0336333
+0.0338335
+0.0341048
+0.0345132
+0.0349499
+0.0353307
+0.0357643
+0.0363251
+0.0370073
+0.0378033
+0.0386855
+0.0396678
+0.0407349
+0.0418818
+0.0431096
+0.0444116
+0.0457814
+0.0472132
+0.0487014
+0.0502391
+0.0518215
+0.0534468
+0.0551112
+0.0568114
+0.0585442
+0.0603068
+0.0612637
+0.0612058
+0.0612264
+0.0613252
+0.061502
+0.061756
+0.0620684
+0.0624441
+0.062894
+0.0634076
+0.0639864
+0.0788635
+0.0771281
+0.0754147
+0.0737265
+0.0720653
+0.0704331
+0.068832
+0.0672641
+0.0657318
+0.0642377
+0.0627845
+0.061375
+0.0600125
+0.0587001
+0.0574413
+0.0562397
+0.0550953
+0.0540062
+0.0529854
+0.0516463
+0.0500288
+0.0484543
+0.0469286
+0.0454573
+0.0440458
+0.0427002
+0.0414267
+0.0402323
+0.0391242
+0.038102
+0.037164
+0.0363341
+0.0356197
+0.035028
+0.0345652
+0.0342367
+0.0340462
+0.033996
+0.0340674
+0.0342713
+0.0346128
+0.0350881
+0.0356917
+0.0364173
+0.0372577
+0.0382054
+0.0392527
+0.0403917
+0.0416031
+0.0428821
+0.0419389
+0.0407387
+0.0396232
+0.0386
+0.0376765
+0.0368535
+0.0361259
+0.0355187
+0.0350381
+0.0346895
+0.0344768
+0.0343358
+0.0342929
+0.0343888
+0.03458
+0.0348454
+0.0352453
+0.0356894
+0.0360976
+0.0365221
+0.0370715
+0.0377402
+0.038522
+0.039392
+0.0403571
+0.0414158
+0.0425526
+0.0437616
+0.0450447
+0.0463958
+0.0478092
+0.0492795
+0.0507997
+0.0523651
+0.053974
+0.0556227
+0.0573077
+0.059026
+0.0607424
+0.0618276
+0.0617703
+0.0617906
+0.0618886
+0.0620637
+0.0622985
+0.0625636
+0.0628921
+0.0632948
+0.0637702
+0.0643168
+0.080036
+0.0783248
+0.0766381
+0.0749775
+0.0733447
+0.0717416
+0.0701703
+0.068633
+0.067132
+0.0656697
+0.0642489
+0.0628723
+0.0615429
+0.0602639
+0.0590384
+0.0578697
+0.0567498
+0.0556931
+0.0545046
+0.0528837
+0.0513027
+0.0497679
+0.0482837
+0.046855
+0.0454869
+0.0441852
+0.0429557
+0.041805
+0.0407397
+0.0397445
+0.0388462
+0.0380529
+0.0373714
+0.0368079
+0.0363678
+0.0360556
+0.0358748
+0.0358272
+0.0358957
+0.0360892
+0.0364137
+0.0368657
+0.0374407
+0.038133
+0.0389364
+0.0398442
+0.0408495
+0.0419451
+0.0431154
+0.0436911
+0.0424273
+0.0412412
+0.0401398
+0.03913
+0.0382152
+0.0374025
+0.0366892
+0.0360915
+0.0356186
+0.0352757
+0.0350574
+0.0349579
+0.0349955
+0.0351698
+0.0354463
+0.0357053
+0.0360957
+0.0365453
+0.0369591
+0.0373931
+0.0379298
+0.0385837
+0.0393488
+0.0402008
+0.041147
+0.0421858
+0.0433106
+0.0445119
+0.045774
+0.0471043
+0.048497
+0.049947
+0.0514475
+0.0529937
+0.0545842
+0.056215
+0.0578827
+0.0595844
+0.0611943
+0.0624633
+0.0624065
+0.0623789
+0.0624015
+0.062501
+0.0626769
+0.0629286
+0.0632553
+0.0636557
+0.0641285
+0.064672
+0.0812489
+0.0795639
+0.077904
+0.0762709
+0.0746664
+0.0730923
+0.0715507
+0.0700437
+0.0685735
+0.0671427
+0.0657537
+0.0644093
+0.0631123
+0.0618657
+0.0606726
+0.0595281
+0.0584396
+0.0573879
+0.0557641
+0.0541785
+0.0526364
+0.0511416
+0.0496985
+0.0483116
+0.046986
+0.0457269
+0.0445401
+0.0434314
+0.0423943
+0.0414377
+0.0405769
+0.0398181
+0.0391674
+0.03863
+0.0382109
+0.037914
+0.037742
+0.0376968
+0.0377625
+0.0379465
+0.0382552
+0.0386857
+0.039234
+0.0398953
+0.0406639
+0.041534
+0.0424992
+0.0435534
+0.044684
+0.0442686
+0.0430218
+0.0418526
+0.0407671
+0.0397656
+0.0388619
+0.038063
+0.0373623
+0.0367755
+0.0363116
+0.0359753
+0.0357612
+0.0356637
+0.0357006
+0.0358715
+0.0361745
+0.0366062
+0.0370562
+0.0375021
+0.0379146
+0.0383509
+0.0388928
+0.0395307
+0.0402778
+0.0411106
+0.0420363
+0.0430537
+0.0441564
+0.0453376
+0.0465903
+0.0479025
+0.0492726
+0.0507005
+0.0521793
+0.0537045
+0.0552745
+0.0568855
+0.0584915
+0.0595713
+0.060711
+0.0619072
+0.0628754
+0.0628215
+0.062844
+0.0629427
+0.0631174
+0.0633674
+0.0636918
+0.0640895
+0.0645591
+0.065099
+0.0825022
+0.0808433
+0.0792102
+0.0776046
+0.0760283
+0.074483
+0.0729708
+0.0714937
+0.070054
+0.068654
+0.0672962
+0.0659832
+0.0647178
+0.0635027
+0.0623366
+0.0612197
+0.0601617
+0.0586667
+0.0570776
+0.0555296
+0.054026
+0.0525708
+0.051168
+0.0498221
+0.0485377
+0.0473199
+0.0461741
+0.0451013
+0.0440946
+0.0431757
+0.0423502
+0.0416238
+0.0410017
+0.0404887
+0.040089
+0.0398061
+0.0396424
+0.0395993
+0.0396625
+0.0398377
+0.0401319
+0.0405425
+0.041066
+0.0416982
+0.0424341
+0.0432686
+0.0441961
+0.0452107
+0.046243
+0.0449442
+0.0437167
+0.0425635
+0.0414897
+0.0405061
+0.0396193
+0.038836
+0.0381495
+0.037575
+0.0371211
+0.0367922
+0.0365829
+0.0364875
+0.0365236
+0.0366907
+0.036987
+0.0374093
+0.037931
+0.0385579
+0.0389685
+0.0394019
+0.0399348
+0.040559
+0.041289
+0.0421149
+0.0430189
+0.0440136
+0.0450928
+0.0462501
+0.0474787
+0.0487748
+0.0501321
+0.0515361
+0.0529916
+0.0544312
+0.0553303
+0.0563004
+0.0573378
+0.0584389
+0.0596003
+0.0608184
+0.0620899
+0.0633368
+0.0633591
+0.0634571
+0.0636303
+0.0638783
+0.0642001
+0.064594
+0.0650457
+0.0655537
+0.083794
+0.0821612
+0.0805549
+0.0789766
+0.0774282
+0.0759114
+0.0744282
+0.0729806
+0.0715708
+0.0702011
+0.0688738
+0.0675915
+0.0663567
+0.0651714
+0.0640289
+0.062942
+0.0615883
+0.0599966
+0.0584438
+0.0569329
+0.0554674
+0.054051
+0.0526876
+0.0513815
+0.0501371
+0.0489591
+0.0478525
+0.0468058
+0.0458365
+0.0449532
+0.044161
+0.0434649
+0.0428695
+0.0423791
+0.0419975
+0.0417274
+0.0415713
+0.0415302
+0.041591
+0.0417581
+0.0420389
+0.0424311
+0.0429315
+0.0435366
+0.0442421
+0.0450431
+0.0459347
+0.0469117
+0.0469836
+0.0457059
+0.0444993
+0.0433669
+0.0423136
+0.0413495
+0.0404812
+0.0397149
+0.0390418
+0.0384806
+0.0380375
+0.0377166
+0.0375146
+0.0374217
+0.0374568
+0.0376197
+0.0379088
+0.038321
+0.0388304
+0.0394533
+0.0401121
+0.0405442
+0.0410623
+0.0416696
+0.0423804
+0.0431907
+0.0440886
+0.0450596
+0.0461144
+0.0472466
+0.04845
+0.0497208
+0.0509576
+0.0516508
+0.0524263
+0.0532741
+0.0541924
+0.0551825
+0.0562405
+0.0573627
+0.0585454
+0.059785
+0.061078
+0.0624199
+0.0638047
+0.063911
+0.0640686
+0.0643004
+0.0646058
+0.0649835
+0.0654325
+0.0659513
+0.0851226
+0.0835158
+0.081936
+0.0803849
+0.0788641
+0.0773755
+0.0759209
+0.0745023
+0.0731219
+0.0717818
+0.0704843
+0.0692318
+0.0680268
+0.0668637
+0.0657506
+0.0645263
+0.0629328
+0.061376
+0.059859
+0.0583847
+0.0569566
+0.0555781
+0.0542531
+0.0529856
+0.0517798
+0.0506401
+0.0495624
+0.0485493
+0.0476156
+0.0467659
+0.0460049
+0.0453371
+0.0447666
+0.0442972
+0.0439322
+0.0436742
+0.043525
+0.0434858
+0.0435444
+0.043704
+0.0439724
+0.0443475
+0.0448266
+0.0454064
+0.0460832
+0.0468527
+0.0477105
+0.0486519
+0.0478131
+0.0465582
+0.0453743
+0.0442643
+0.0432328
+0.0422898
+0.0414412
+0.0406822
+0.0400243
+0.039477
+0.0390452
+0.0387327
+0.0385423
+0.038458
+0.0384923
+0.0386508
+0.0389322
+0.0393317
+0.0398266
+0.0404342
+0.0411496
+0.0417702
+0.0422732
+0.0428634
+0.0435548
+0.0443436
+0.0452238
+0.0461859
+0.0472155
+0.0482087
+0.0486522
+0.0491894
+0.0498172
+0.0505308
+0.0513155
+0.0521763
+0.0531137
+0.0541235
+0.0552018
+0.0563447
+0.0575483
+0.0588089
+0.0601228
+0.0614813
+0.0628868
+0.0643362
+0.0645357
+0.0647659
+0.065069
+0.0654441
+0.06589
+0.0664052
+0.0864863
+0.0849053
+0.0833519
+0.0818276
+0.0803341
+0.0788733
+0.0774468
+0.0760567
+0.074705
+0.0733937
+0.0721252
+0.0709018
+0.0697209
+0.0685842
+0.0674787
+0.0658837
+0.0643238
+0.0628015
+0.0613198
+0.0598815
+0.0584899
+0.0571484
+0.0558607
+0.0546305
+0.0534618
+0.0523571
+0.0513057
+0.0503278
+0.0494276
+0.0486096
+0.047878
+0.0472366
+0.0466894
+0.0462395
+0.04589
+0.045643
+0.0455003
+0.0454628
+0.0455194
+0.0456721
+0.045929
+0.0462882
+0.0467474
+0.0473037
+0.0479537
+0.0486937
+0.0495196
+0.0500236
+0.0487271
+0.0474963
+0.0463364
+0.04525
+0.0442415
+0.0433204
+0.0424856
+0.0417411
+0.0411001
+0.0405674
+0.0401473
+0.0398434
+0.0396584
+0.0395829
+0.0396161
+0.0397702
+0.0400437
+0.0404333
+0.0409148
+0.0415065
+0.0422037
+0.0429724
+0.0435545
+0.0441338
+0.0448055
+0.0455727
+0.046326
+0.0464786
+0.0467335
+0.0470891
+0.0475431
+0.0480926
+0.0487345
+0.0494652
+0.0502651
+0.0511437
+0.0520996
+0.0531287
+0.0542268
+0.0553898
+0.0566137
+0.0578947
+0.0592288
+0.0606074
+0.0620327
+0.0635016
+0.0650111
+0.0653016
+0.0656022
+0.0659743
+0.0664166
+0.0669277
+0.0878835
+0.0863281
+0.0848007
+0.0833029
+0.0818364
+0.0804028
+0.079004
+0.0776418
+0.0763181
+0.0750351
+0.0737948
+0.0725979
+0.0714398
+0.0703309
+0.0688476
+0.0672851
+0.0657584
+0.0642701
+0.062823
+0.0614199
+0.060064
+0.0587585
+0.0575068
+0.0563126
+0.0551795
+0.0540992
+0.0530823
+0.0521377
+0.0512693
+0.0504812
+0.049777
+0.0491604
+0.0486348
+0.0482032
+0.0478679
+0.0476312
+0.0474945
+0.0474586
+0.0475133
+0.0476596
+0.0479058
+0.0482503
+0.048691
+0.0492254
+0.0498504
+0.0505626
+0.0513585
+0.0509922
+0.0497209
+0.0485153
+0.0473804
+0.0463185
+0.0453338
+0.044432
+0.0436108
+0.0428859
+0.0422622
+0.0417443
+0.0413362
+0.0410411
+0.0408615
+0.0407772
+0.0408095
+0.0409591
+0.0412247
+0.0416041
+0.042089
+0.0426644
+0.043343
+0.0434993
+0.0437074
+0.0440238
+0.0444402
+0.0449544
+0.0452659
+0.0454221
+0.0456829
+0.0460466
+0.0465107
+0.0470723
+0.047728
+0.0484738
+0.0492898
+0.0501855
+0.0511593
+0.0522069
+0.053324
+0.0545063
+0.0557496
+0.05705
+0.0584034
+0.059801
+0.0612451
+0.0627324
+0.06426
+0.0658251
+0.0662036
+0.0665724
+0.0669988
+0.067423
+0.0893125
+0.0877824
+0.0862808
+0.0848092
+0.0833692
+0.0819624
+0.0805906
+0.0792557
+0.0779594
+0.0767039
+0.075491
+0.0743148
+0.0731839
+0.0718228
+0.0702581
+0.0687277
+0.0672338
+0.0657789
+0.0643657
+0.062997
+0.0616758
+0.0604051
+0.0591883
+0.0580286
+0.0569241
+0.0558728
+0.0548888
+0.0539758
+0.0531375
+0.0523774
+0.0516991
+0.0511058
+0.0506004
+0.0501856
+0.0498637
+0.0496365
+0.0495053
+0.0494708
+0.0495238
+0.0496643
+0.0499006
+0.0502314
+0.0506548
+0.0511687
+0.0517702
+0.0524564
+0.053224
+0.0520349
+0.0507898
+0.0496102
+0.0485009
+0.0474641
+0.0465035
+0.0456144
+0.0448149
+0.0441098
+0.0435037
+0.0430007
+0.0426047
+0.0423184
+0.0421346
+0.0420518
+0.0420831
+0.0422282
+0.0424859
+0.0427477
+0.0425322
+0.0424197
+0.0424074
+0.0425082
+0.0427212
+0.0430447
+0.043466
+0.0439916
+0.0442888
+0.0444484
+0.044715
+0.0450864
+0.0455604
+0.0461336
+0.0468023
+0.0475506
+0.0483858
+0.0493042
+0.0502968
+0.0513621
+0.0524971
+0.0536976
+0.0549592
+0.0562779
+0.0576494
+0.0590649
+0.0605265
+0.0620311
+0.0635755
+0.0651571
+0.066773
+0.0671112
+0.0674636
+0.0678848
+0.0907719
+0.0892668
+0.0877906
+0.0863447
+0.0849307
+0.0835503
+0.082205
+0.0808967
+0.0796272
+0.0783984
+0.077207
+0.0760561
+0.0748076
+0.0732411
+0.0717074
+0.0702085
+0.0687468
+0.0673246
+0.0659446
+0.0646093
+0.0633217
+0.0620848
+0.0609015
+0.0597751
+0.0586941
+0.0576751
+0.0567223
+0.0558393
+0.0550294
+0.0542959
+0.0536418
+0.0530702
+0.0525837
+0.0521847
+0.0518752
+0.0516568
+0.0515308
+0.0514977
+0.051549
+0.051684
+0.0519111
+0.0522291
+0.0526366
+0.0531312
+0.0537108
+0.0543725
+0.054427
+0.0531476
+0.0519291
+0.050776
+0.0496927
+0.0486813
+0.0477351
+0.0468694
+0.0460917
+0.0454064
+0.0448179
+0.0443298
+0.0439457
+0.0436683
+0.0434798
+0.0433997
+0.0431568
+0.0426067
+0.0421634
+0.0418303
+0.04161
+0.0415011
+0.0414886
+0.0415916
+0.0418092
+0.0421398
+0.0425804
+0.0431186
+0.0433977
+0.0435606
+0.0438325
+0.0442114
+0.0446946
+0.0452753
+0.0459433
+0.0467045
+0.0475545
+0.0484887
+0.0495023
+0.0505905
+0.0517484
+0.0529665
+0.0542451
+0.0555807
+0.0569693
+0.0584017
+0.0598795
+0.0614
+0.0629599
+0.0645565
+0.0661871
+0.0675804
+0.0679303
+0.0683487
+0.0922603
+0.0907799
+0.0893287
+0.0879081
+0.0865196
+0.0851649
+0.0838456
+0.0825633
+0.0813198
+0.0801147
+0.0789453
+0.077797
+0.0762291
+0.0746924
+0.0731891
+0.0717212
+0.070291
+0.0689007
+0.0675528
+0.06625
+0.0649949
+0.0637904
+0.0626394
+0.0615421
+0.0604917
+0.0595034
+0.0585804
+0.0577259
+0.0569428
+0.0562342
+0.0556029
+0.0550517
+0.0545828
+0.0541986
+0.0539006
+0.0536905
+0.0535692
+0.0535374
+0.0535873
+0.0537171
+0.0539356
+0.0542418
+0.0546342
+0.055111
+0.0556699
+0.0563086
+0.0555781
+0.0543258
+0.0531344
+0.052008
+0.0509509
+0.0499501
+0.0490257
+0.0481832
+0.047427
+0.0467613
+0.04619
+0.0457166
+0.0453443
+0.0446466
+0.0437876
+0.043023
+0.042358
+0.0417975
+0.0413455
+0.0410057
+0.040781
+0.0406699
+0.0406571
+0.0407622
+0.0409843
+0.0413214
+0.0417709
+0.0423292
+0.0425883
+0.0427543
+0.0430313
+0.0434172
+0.0439092
+0.0444938
+0.0451733
+0.0459473
+0.0468111
+0.0477598
+0.0487886
+0.0498887
+0.0510566
+0.0522902
+0.0535849
+0.0549366
+0.056341
+0.0577943
+0.059293
+0.0608337
+0.0624132
+0.0640253
+0.0656691
+0.067344
+0.0684332
+0.068835
+0.0937762
+0.0923201
+0.0908935
+0.0894977
+0.0881344
+0.0868049
+0.0855108
+0.0842538
+0.0830356
+0.0818499
+0.0807056
+0.0792252
+0.0776861
+0.0761789
+0.0747055
+0.073268
+0.0718685
+0.0705093
+0.0691928
+0.0679214
+0.0666978
+0.0655246
+0.0644046
+0.0633346
+0.0623145
+0.0613555
+0.0604608
+0.0596332
+0.0588755
+0.0581905
+0.0575806
+0.0570485
+0.0565962
+0.0562257
+0.0559386
+0.0557361
+0.0556193
+0.0555887
+0.0556371
+0.0557621
+0.0559727
+0.0562678
+0.0566462
+0.0571062
+0.0576458
+0.0580262
+0.056758
+0.0555474
+0.0543916
+0.0532918
+0.052254
+0.0512775
+0.0503775
+0.049558
+0.0488231
+0.048093
+0.0470873
+0.0459812
+0.0449465
+0.0439843
+0.043112
+0.0423353
+0.0416593
+0.0410892
+0.0406294
+0.0402836
+0.0400548
+0.0399417
+0.0399286
+0.0400356
+0.0402617
+0.0406049
+0.0410622
+0.04163
+0.0418713
+0.0420401
+0.0423218
+0.0427141
+0.0432141
+0.043808
+0.044498
+0.0452835
+0.0461598
+0.0471202
+0.0481561
+0.0492676
+0.0504498
+0.0516979
+0.0530071
+0.0543731
+0.0557917
+0.057259
+0.0587713
+0.0603253
+0.0619178
+0.0635456
+0.0652049
+0.0668949
+0.0686131
+0.0693105
+0.0952969
+0.0938862
+0.0924837
+0.0911123
+0.0897735
+0.0884686
+0.0871992
+0.085967
+0.0847681
+0.0836064
+0.0822289
+0.0806876
+0.0791769
+0.0776986
+0.0762546
+0.0748468
+0.0734774
+0.0721486
+0.0708625
+0.0696217
+0.0684285
+0.0672854
+0.0661952
+0.0651515
+0.0641602
+0.0632293
+0.0623615
+0.0615594
+0.0608257
+0.0601628
+0.0595732
+0.059059
+0.0586223
+0.0582646
+0.0579876
+0.0577924
+0.0576797
+0.0576501
+0.0576973
+0.0578179
+0.058021
+0.0583057
+0.0586709
+0.0591152
+0.0596366
+0.0589554
+0.0577076
+0.0565173
+0.0553347
+0.0540314
+0.0527869
+0.0516054
+0.0504914
+0.0494493
+0.0484839
+0.0475998
+0.046563
+0.0454441
+0.0443969
+0.0434225
+0.0425387
+0.0417513
+0.0410657
+0.0404873
+0.0400205
+0.0396694
+0.039437
+0.0393222
+0.0393089
+0.0394176
+0.0396472
+0.0399957
+0.0404599
+0.041036
+0.0412583
+0.0414296
+0.0417154
+0.0421134
+0.0426204
+0.0432225
+0.0439216
+0.0447173
+0.0455979
+0.0465646
+0.0476125
+0.0487364
+0.0499312
+0.0511919
+0.0525138
+0.0538923
+0.0553232
+0.0568026
+0.0583257
+0.0598894
+0.0614913
+0.0631286
+0.0647987
+0.0664989
+0.0682271
+0.0698411
+0.0963739
+0.0954768
+0.0940981
+0.0927506
+0.0914357
+0.0901549
+0.0889096
+0.0876987
+0.0865209
+0.0852394
+0.0836962
+0.0821824
+0.0806997
+0.0792498
+0.0778346
+0.0764559
+0.0751159
+0.0738165
+0.07256
+0.0713487
+0.0701848
+0.0690709
+0.0680093
+0.0669907
+0.066027
+0.0651228
+0.0642806
+0.0635027
+0.0627918
+0.0621499
+0.0615793
+0.061082
+0.0606598
+0.0603142
+0.0600467
+0.0598581
+0.0597494
+0.0597208
+0.0597667
+0.0598832
+0.0600793
+0.0603543
+0.0607072
+0.0611366
+0.0607241
+0.059231
+0.0577772
+0.0563602
+0.054994
+0.0536824
+0.0524296
+0.0512399
+0.0501177
+0.0490677
+0.0480947
+0.0472033
+0.0461368
+0.0450073
+0.0439497
+0.0429652
+0.0420718
+0.0412754
+0.0405819
+0.0399964
+0.0395238
+0.0391683
+0.0389329
+0.0388166
+0.0388031
+0.0389132
+0.0391458
+0.0394987
+0.0399687
+0.0405517
+0.040754
+0.0409274
+0.0412167
+0.0416194
+0.0421324
+0.0427348
+0.0434345
+0.0442318
+0.0451215
+0.0460982
+0.0471565
+0.048291
+0.0494966
+0.0507681
+0.0521007
+0.0534898
+0.0549312
+0.0564209
+0.057954
+0.0595274
+0.0611389
+0.0627854
+0.0644643
+0.0661732
+0.0679097
+0.0696718
+0.0974742
+0.0970909
+0.0957353
+0.0944112
+0.0931198
+0.0918625
+0.0906403
+0.0894477
+0.088256
+0.0867111
+0.0851945
+0.0837078
+0.0822526
+0.0808306
+0.0794435
+0.0780933
+0.0767818
+0.0755111
+0.0742833
+0.0731005
+0.071965
+0.0708791
+0.069844
+0.0688505
+0.0679132
+0.0670345
+0.0662165
+0.0654617
+0.0647722
+0.0641502
+0.0635976
+0.0631162
+0.0627076
+0.0623734
+0.0621147
+0.0619325
+0.0618274
+0.0617998
+0.0618446
+0.0619571
+0.0621466
+0.0624126
+0.0627539
+0.0620328
+0.0604927
+0.0589937
+0.0575344
+0.0561113
+0.0547388
+0.053421
+0.052162
+0.050966
+0.0498376
+0.0487816
+0.0478028
+0.0469058
+0.0458115
+0.0446738
+0.0436081
+0.0426157
+0.0417148
+0.0409115
+0.0402117
+0.0396207
+0.0391437
+0.0387846
+0.0385469
+0.0384294
+0.0384158
+0.038527
+0.0387619
+0.0391182
+0.0395928
+0.0401813
+0.0403505
+0.0405256
+0.0408177
+0.0412244
+0.0417366
+0.0423396
+0.0430458
+0.0438501
+0.0447474
+0.0457321
+0.0467986
+0.0479416
+0.0491558
+0.0504359
+0.051777
+0.0531746
+0.0546244
+0.0561222
+0.0576632
+0.0592444
+0.0608633
+0.0625171
+0.064203
+0.0659186
+0.0676617
+0.0694301
+0.0986109
+0.098252
+0.0973944
+0.0960931
+0.0948246
+0.0935902
+0.0923856
+0.0912157
+0.0897316
+0.0882126
+0.0867223
+0.0852623
+0.083834
+0.0824393
+0.0810797
+0.0797572
+0.0784735
+0.0772307
+0.0760306
+0.0748755
+0.0737673
+0.0727083
+0.0716967
+0.0707293
+0.0698172
+0.0689627
+0.0681679
+0.0674349
+0.0667658
+0.0661625
+0.0656269
+0.0651604
+0.0647648
+0.0644413
+0.0641909
+0.0640146
+0.0639129
+0.0638862
+0.0639299
+0.0640387
+0.0642222
+0.0644796
+0.0634659
+0.0618839
+0.06034
+0.0588371
+0.0573734
+0.0559471
+0.0545706
+0.0532486
+0.0519853
+0.0507852
+0.0496527
+0.0485927
+0.04761
+0.0467093
+0.0455893
+0.0444459
+0.0433746
+0.0423767
+0.0414707
+0.0406625
+0.0399583
+0.0393636
+0.0388834
+0.0385219
+0.0382826
+0.0381642
+0.0381505
+0.0382625
+0.038499
+0.0388578
+0.0393354
+0.0399277
+0.0400517
+0.0402281
+0.0405224
+0.040932
+0.0414478
+0.042055
+0.0427658
+0.0435754
+0.0444782
+0.0454687
+0.0465413
+0.0476905
+0.0489108
+0.0501971
+0.0515445
+0.0529483
+0.054404
+0.0559078
+0.0574546
+0.0590413
+0.0606656
+0.0623247
+0.0640157
+0.0657362
+0.067484
+0.0692569
+0.0997726
+0.0994094
+0.0990741
+0.0977951
+0.096549
+0.0953338
+0.0941495
+0.0927573
+0.0912361
+0.0897425
+0.088278
+0.0868441
+0.0854423
+0.0840743
+0.0827416
+0.0814461
+0.0801894
+0.0789736
+0.0778005
+0.076672
+0.0755901
+0.074557
+0.073568
+0.0726255
+0.0717376
+0.0709062
+0.0701334
+0.0694212
+0.0687714
+0.0681859
+0.0676662
+0.067214
+0.0668305
+0.066517
+0.0662745
+0.0661037
+0.0660053
+0.0659794
+0.0660221
+0.0661275
+0.0663051
+0.0650151
+0.0633961
+0.0618123
+0.0602666
+0.0587546
+0.0572801
+0.0558525
+0.0544757
+0.0531536
+0.0518902
+0.0506901
+0.0495568
+0.0484944
+0.0475093
+0.0466064
+0.0454717
+0.0443252
+0.0432416
+0.0422406
+0.0413316
+0.0405207
+0.0398139
+0.039217
+0.038735
+0.0383721
+0.0381318
+0.038002
+0.0379883
+0.0381007
+0.0383382
+0.0386985
+0.0391781
+0.0397728
+0.0398712
+0.0400485
+0.040344
+0.0407554
+0.0412734
+0.0418831
+0.0425969
+0.0434096
+0.0443157
+0.0453098
+0.0463861
+0.047539
+0.0487631
+0.0500533
+0.0514044
+0.0528119
+0.0542713
+0.0557786
+0.0573289
+0.058919
+0.0605466
+0.0622088
+0.0639029
+0.0656264
+0.067377
+0.0691527
+0.10096
+0.100601
+0.100284
+0.0995163
+0.0982911
+0.0970935
+0.0957876
+0.0942644
+0.0927678
+0.0912993
+0.0898602
+0.088452
+0.0870761
+0.0857341
+0.0844276
+0.0831583
+0.081928
+0.0807383
+0.0795912
+0.0784885
+0.077432
+0.0764238
+0.0754565
+0.0745379
+0.073673
+0.0728637
+0.0721119
+0.0714195
+0.070788
+0.0702193
+0.0697148
+0.0692759
+0.0689039
+0.0685999
+0.0683648
+0.0681992
+0.0681038
+0.0680788
+0.0681204
+0.0682226
+0.0666724
+0.0650208
+0.0634019
+0.0618183
+0.0602635
+0.0587451
+0.0572703
+0.0558426
+0.0544655
+0.0531431
+0.0518795
+0.0506791
+0.0495456
+0.0484829
+0.0474975
+0.0465944
+0.0454591
+0.0442949
+0.0432073
+0.0422054
+0.0412956
+0.040484
+0.0397767
+0.0391792
+0.0386966
+0.0383334
+0.0380929
+0.037963
+0.0379492
+0.0380618
+0.0382995
+0.0386601
+0.0391402
+0.0397354
+0.0398107
+0.0399882
+0.0402842
+0.0406962
+0.0412149
+0.0418255
+0.0425402
+0.0433539
+0.0442613
+0.0452565
+0.046334
+0.0474882
+0.0487136
+0.050005
+0.0513575
+0.0527662
+0.0542268
+0.0557353
+0.0572868
+0.0588781
+0.0605068
+0.06217
+0.0638651
+0.0655896
+0.0673412
+0.0691178
+0.102181
+0.101826
+0.101513
+0.101242
+0.100047
+0.0988221
+0.097297
+0.0957978
+0.0943256
+0.0928817
+0.0914675
+0.0900844
+0.0887338
+0.0874173
+0.0861363
+0.0848926
+0.0836878
+0.0825235
+0.0814015
+0.0803236
+0.0792916
+0.0783064
+0.0773597
+0.076464
+0.0756211
+0.0748329
+0.0741011
+0.0734274
+0.0728134
+0.0722606
+0.0717704
+0.0713442
+0.070983
+0.070688
+0.0704598
+0.0702992
+0.0702066
+0.0701823
+0.0701346
+0.0684268
+0.0667472
+0.0650979
+0.0634815
+0.0618907
+0.0603338
+0.0588173
+0.0573443
+0.0559185
+0.0545433
+0.0532228
+0.0519612
+0.0507628
+0.0496311
+0.0485703
+0.0475868
+0.0466854
+0.0455319
+0.0443697
+0.0432839
+0.0422839
+0.0413758
+0.0405658
+0.0398599
+0.0392637
+0.0387822
+0.0384198
+0.0381798
+0.0380502
+0.0380365
+0.0381488
+0.038386
+0.0387458
+0.0392248
+0.0398132
+0.0398705
+0.0400478
+0.0403434
+0.0407547
+0.0412728
+0.0418825
+0.0425963
+0.043409
+0.0443151
+0.0453092
+0.0463855
+0.0475385
+0.0487626
+0.0500528
+0.0514039
+0.0528114
+0.0542708
+0.0557781
+0.0573285
+0.0589186
+0.0605462
+0.0622084
+0.0639025
+0.065626
+0.0673766
+0.0691523
+0.103433
+0.103083
+0.102774
+0.102506
+0.101819
+0.100334
+0.098832
+0.0973563
+0.0959081
+0.0944884
+0.0930986
+0.0917401
+0.0904142
+0.0891225
+0.0878665
+0.0866476
+0.0854675
+0.0843277
+0.0832301
+0.0821762
+0.0811678
+0.0802009
+0.0792767
+0.0784029
+0.0775811
+0.076813
+0.0761002
+0.0754444
+0.0748469
+0.0743092
+0.0738327
+0.0734184
+0.0730675
+0.0727809
+0.0725593
+0.0724034
+0.0723135
+0.0719943
+0.0702633
+0.0685587
+0.0668824
+0.0652366
+0.0636237
+0.0620366
+0.0604835
+0.0589708
+0.0575018
+0.0560799
+0.0547088
+0.0533924
+0.0521349
+0.0509406
+0.0498129
+0.0487561
+0.0477764
+0.0468786
+0.0457098
+0.0445522
+0.043471
+0.0424754
+0.0415715
+0.0407654
+0.040063
+0.0394698
+0.0389909
+0.0386304
+0.0383918
+0.0382629
+0.0382492
+0.0383609
+0.0385968
+0.0389547
+0.0394312
+0.0399701
+0.0400272
+0.0402037
+0.0404981
+0.040908
+0.0414297
+0.04205
+0.042761
+0.0435706
+0.0444735
+0.0454641
+0.0465369
+0.0476861
+0.0489066
+0.050193
+0.0515405
+0.0529444
+0.0544002
+0.0559041
+0.0574521
+0.0590404
+0.0606648
+0.0623238
+0.0640149
+0.0657354
+0.0674832
+0.0692561
+0.104717
+0.104371
+0.104065
+0.103801
+0.103374
+0.10187
+0.100391
+0.0989389
+0.0975141
+0.0961181
+0.0947523
+0.0934178
+0.0921161
+0.0908486
+0.0896167
+0.088422
+0.0872658
+0.0861499
+0.0850758
+0.0840451
+0.0830593
+0.08211
+0.0812075
+0.0803547
+0.0795531
+0.0788042
+0.0781096
+0.0774707
+0.076889
+0.0763657
+0.0759021
+0.0754992
+0.075158
+0.0748794
+0.0746641
+0.0745125
+0.073937
+0.0721862
+0.07046
+0.0687602
+0.067089
+0.0654484
+0.0638408
+0.0622593
+0.0607119
+0.059205
+0.057742
+0.0563262
+0.0549612
+0.053651
+0.0523997
+0.0512115
+0.05009
+0.0490391
+0.0480652
+0.0471729
+0.0459914
+0.0448411
+0.0437671
+0.0427783
+0.041881
+0.0410809
+0.040384
+0.0397956
+0.0393207
+0.0389633
+0.0387267
+0.0385989
+0.0385854
+0.0386961
+0.0389299
+0.0392848
+0.0397573
+0.0402457
+0.0403024
+0.0404778
+0.0407702
+0.0411773
+0.0416957
+0.042306
+0.0430127
+0.0438177
+0.0447156
+0.045701
+0.0467682
+0.047912
+0.0491268
+0.0504076
+0.0517495
+0.0531479
+0.0545983
+0.0560968
+0.0576397
+0.0592234
+0.0608447
+0.0625008
+0.064189
+0.0659067
+0.0676517
+0.069422
+0.105973
+0.105689
+0.105383
+0.105121
+0.104905
+0.10343
+0.101974
+0.100544
+0.0991425
+0.0977698
+0.0964274
+0.0951164
+0.0938383
+0.0925943
+0.091386
+0.0902147
+0.0890818
+0.0879889
+0.0869375
+0.0859291
+0.0849617
+0.0840328
+0.0831512
+0.0823185
+0.0815362
+0.0808057
+0.0801285
+0.0795059
+0.0789391
+0.0784295
+0.0779782
+0.0775861
+0.0772541
+0.0769831
+0.0767736
+0.0759564
+0.0741886
+0.0724439
+0.070724
+0.0690307
+0.0673662
+0.0657325
+0.064132
+0.062558
+0.0610181
+0.059519
+0.0580639
+0.0566561
+0.0552993
+0.0539972
+0.0527516
+0.051569
+0.0504539
+0.0494107
+0.0484442
+0.0475591
+0.046375
+0.0452344
+0.0441699
+0.0431904
+0.0423018
+0.0415099
+0.0408203
+0.0402383
+0.0397686
+0.0394152
+0.0391814
+0.0390551
+0.0390417
+0.0391511
+0.0393823
+0.0397331
+0.0402004
+0.0406378
+0.0406939
+0.0408676
+0.0411573
+0.0415606
+0.0420742
+0.042673
+0.0433738
+0.0441722
+0.045063
+0.0460409
+0.0471005
+0.0482364
+0.0494432
+0.0507161
+0.05205
+0.0534405
+0.0548832
+0.0563741
+0.0579096
+0.0594861
+0.0611005
+0.0627498
+0.0644314
+0.0661429
+0.0678818
+0.0696463
+0.107099
+0.106873
+0.106693
+0.106466
+0.106253
+0.105012
+0.103578
+0.102171
+0.100792
+0.0994423
+0.0981228
+0.0968347
+0.0955796
+0.0943586
+0.0931732
+0.0920246
+0.0909143
+0.0898437
+0.0888143
+0.0878274
+0.0868767
+0.0859685
+0.0851069
+0.0842936
+0.0835298
+0.0828169
+0.0821562
+0.0815491
+0.0809966
+0.0805001
+0.0800604
+0.0796785
+0.0793553
+0.0790914
+0.0780466
+0.0762643
+0.0745038
+0.0727666
+0.0710545
+0.0693694
+0.0677131
+0.066088
+0.0644964
+0.0629316
+0.061401
+0.0599115
+0.0584653
+0.0570652
+0.055716
+0.0544215
+0.0531859
+0.0520132
+0.0509077
+0.0498741
+0.0489168
+0.0480403
+0.0468579
+0.0457293
+0.0446767
+0.0437085
+0.0428307
+0.0420487
+0.0413681
+0.0407939
+0.0403307
+0.0399823
+0.0397518
+0.0396273
+0.0396141
+0.039722
+0.0399498
+0.0402957
+0.0407565
+0.0411429
+0.0411983
+0.0413699
+0.0416561
+0.0420546
+0.0425567
+0.0431483
+0.0438414
+0.0446315
+0.0455133
+0.0464818
+0.0475315
+0.0486573
+0.049854
+0.0511166
+0.0524403
+0.0538207
+0.0552535
+0.0567347
+0.0582607
+0.0598279
+0.0614333
+0.063074
+0.0647472
+0.0664505
+0.0681816
+0.0699385
+0.108249
+0.108026
+0.107848
+0.107712
+0.107614
+0.106616
+0.105204
+0.103819
+0.102462
+0.101135
+0.0998374
+0.0985718
+0.0973391
+0.0961405
+0.0949772
+0.0938507
+0.0927623
+0.0917133
+0.0907051
+0.0897374
+0.0888044
+0.0879161
+0.0870738
+0.086279
+0.0855329
+0.0848369
+0.0841921
+0.0835997
+0.0830609
+0.0825767
+0.0821482
+0.081776
+0.0814612
+0.0802021
+0.0784076
+0.0766336
+0.0748818
+0.0731536
+0.0714508
+0.0697752
+0.0681288
+0.0665139
+0.0649327
+0.0633773
+0.0618556
+0.0603752
+0.058939
+0.0575503
+0.0562127
+0.05493
+0.0537061
+0.0525449
+0.0514509
+0.0504284
+0.0494818
+0.0486099
+0.0474371
+0.0463227
+0.0452839
+0.044329
+0.0434636
+0.0426933
+0.0420231
+0.041458
+0.0410023
+0.0406597
+0.040433
+0.0403106
+0.0402977
+0.0404037
+0.0406277
+0.0409678
+0.0414212
+0.041757
+0.0418116
+0.0419806
+0.0422627
+0.0426556
+0.0431446
+0.0437282
+0.0444123
+0.0451924
+0.0460635
+0.0470206
+0.0480586
+0.0491723
+0.0503568
+0.0516071
+0.0529186
+0.0542868
+0.0557076
+0.0571771
+0.0586915
+0.0602476
+0.0618421
+0.0634721
+0.0651351
+0.0668285
+0.0685501
+0.0702978
+0.109431
+0.109211
+0.109034
+0.108901
+0.108804
+0.108241
+0.10685
+0.105487
+0.104152
+0.102846
+0.10157
+0.100327
+0.0991158
+0.0979389
+0.0967973
+0.0956922
+0.094625
+0.0935968
+0.0926091
+0.0916573
+0.090744
+0.0898749
+0.0890512
+0.0882742
+0.0875451
+0.0868651
+0.0862355
+0.0856573
+0.0851315
+0.0846592
+0.0842412
+0.0838784
+0.0824176
+0.0806129
+0.0788277
+0.0770635
+0.0753216
+0.0736034
+0.0719108
+0.0702458
+0.0686103
+0.0670065
+0.0654363
+0.0638896
+0.0623805
+0.0609127
+0.0594895
+0.058114
+0.0567897
+0.0555203
+0.0543097
+0.0531618
+0.0520807
+0.0510708
+0.0501364
+0.049266
+0.0481093
+0.0470108
+0.0459875
+0.0450475
+0.0441962
+0.0434389
+0.0427804
+0.0422254
+0.0417781
+0.0414419
+0.0412195
+0.0410994
+0.0410868
+0.0411907
+0.0414105
+0.0417443
+0.0421893
+0.0424752
+0.042529
+0.0426952
+0.0429725
+0.043359
+0.0438342
+0.0444088
+0.0450826
+0.0458512
+0.0467101
+0.0476542
+0.0486787
+0.0497785
+0.0509489
+0.052185
+0.0534823
+0.0548365
+0.0562434
+0.0576992
+0.0592003
+0.0607433
+0.0623251
+0.0639429
+0.065594
+0.0672758
+0.0689862
+0.0707231
+0.110644
+0.110426
+0.110251
+0.11012
+0.110025
+0.109885
+0.108515
+0.107173
+0.105859
+0.104575
+0.103321
+0.102098
+0.100909
+0.099753
+0.0986324
+0.0975481
+0.0965014
+0.0954935
+0.0945253
+0.0935891
+0.0926949
+0.0918442
+0.0910383
+0.0902784
+0.0895656
+0.0889011
+0.088286
+0.0877213
+0.087208
+0.086747
+0.0863391
+0.0846875
+0.0828739
+0.081079
+0.079304
+0.0775502
+0.0758191
+0.0741124
+0.0724318
+0.070779
+0.0691561
+0.0675653
+0.0660063
+0.0644723
+0.0629772
+0.0615237
+0.0601149
+0.0587541
+0.0574445
+0.0561899
+0.054994
+0.0538607
+0.0527939
+0.051798
+0.0508769
+0.0500096
+0.0488705
+0.0477895
+0.0467832
+0.0458595
+0.0450236
+0.0442804
+0.0436346
+0.0430906
+0.0426524
+0.0423231
+0.0421054
+0.0419879
+0.0419755
+0.0420773
+0.0422924
+0.0426193
+0.0430552
+0.0432752
+0.043328
+0.0434911
+0.0437635
+0.044143
+0.0446209
+0.0451854
+0.0458478
+0.0466038
+0.047449
+0.0483788
+0.0493882
+0.0504726
+0.0516272
+0.0528475
+0.0541289
+0.0554673
+0.0568586
+0.0582991
+0.0597851
+0.0613134
+0.0628809
+0.0644847
+0.0661222
+0.067791
+0.0694887
+0.0712134
+0.111887
+0.111671
+0.111498
+0.111368
+0.111276
+0.111224
+0.110199
+0.108878
+0.107584
+0.106321
+0.105088
+0.103886
+0.102717
+0.101582
+0.100482
+0.0994176
+0.0983908
+0.0974024
+0.0964497
+0.0955321
+0.0946562
+0.0938233
+0.0930346
+0.0922911
+0.091594
+0.0909443
+0.0903431
+0.0897913
+0.0892899
+0.0888397
+0.0870072
+0.0851866
+0.0833839
+0.0816002
+0.0798368
+0.078095
+0.0763763
+0.0746823
+0.0730147
+0.0713755
+0.0697665
+0.0681899
+0.0666426
+0.0651235
+0.0636437
+0.0622058
+0.0608128
+0.0594679
+0.0581745
+0.056936
+0.0557561
+0.0546385
+0.0535873
+0.0526063
+0.0516996
+0.0508368
+0.0497166
+0.0486544
+0.0476664
+0.0467602
+0.0459406
+0.0452125
+0.0445802
+0.0440479
+0.0436193
+0.0432974
+0.0430846
+0.0429697
+0.0429576
+0.0430571
+0.0432674
+0.0435869
+0.0440133
+0.0441681
+0.0442197
+0.0443796
+0.0446465
+0.0450186
+0.0454932
+0.0460533
+0.0467033
+0.0474457
+0.0482762
+0.0491903
+0.0501834
+0.051251
+0.0523885
+0.0535914
+0.0548554
+0.0561765
+0.0575507
+0.0589742
+0.0604437
+0.0619557
+0.0635074
+0.0650958
+0.0667183
+0.0683725
+0.0700561
+0.0717672
+0.113158
+0.112945
+0.112774
+0.112645
+0.112556
+0.112504
+0.1119
+0.110599
+0.109326
+0.108083
+0.10687
+0.105689
+0.10454
+0.103425
+0.102345
+0.1013
+0.100292
+0.099323
+0.098385
+0.0974855
+0.0966274
+0.0958116
+0.0950394
+0.0943117
+0.0936297
+0.0929942
+0.0924064
+0.091867
+0.0912162
+0.089374
+0.0875479
+0.0857389
+0.083948
+0.0821766
+0.0804258
+0.078697
+0.0769917
+0.0753116
+0.0736583
+0.0720337
+0.070439
+0.0688734
+0.0673415
+0.0658386
+0.0643752
+0.062954
+0.061578
+0.0602502
+0.0589739
+0.0577525
+0.0565896
+0.0554889
+0.0544541
+0.053489
+0.0525975
+0.0517435
+0.0506434
+0.049601
+0.0486323
+0.0477444
+0.0469421
+0.0462297
+0.0456115
+0.0450914
+0.0446728
+0.0443585
+0.0441508
+0.0440388
+0.0440269
+0.044124
+0.0443292
+0.0446412
+0.0450576
+0.0451496
+0.0452002
+0.0453566
+0.0456178
+0.045982
+0.0464468
+0.0470072
+0.0476443
+0.0483722
+0.0491871
+0.0500845
+0.0510603
+0.0521099
+0.053229
+0.0544134
+0.0556588
+0.0569612
+0.0583169
+0.0597222
+0.0611737
+0.0626681
+0.0642025
+0.0657741
+0.0673803
+0.0690186
+0.0706869
+0.072383
+0.114457
+0.114246
+0.114077
+0.11395
+0.113863
+0.113812
+0.113618
+0.112337
+0.111084
+0.109861
+0.108668
+0.107506
+0.106377
+0.105281
+0.10422
+0.103195
+0.102206
+0.101252
+0.100331
+0.0994489
+0.0986078
+0.0978086
+0.0970523
+0.0963398
+0.0956722
+0.0950504
+0.0944753
+0.0936304
+0.0917844
+0.0899539
+0.0881398
+0.0863432
+0.0845651
+0.0828069
+0.0810697
+0.0793549
+0.0776641
+0.0759988
+0.074359
+0.0727459
+0.0711637
+0.0696144
+0.0680991
+0.0666133
+0.0651673
+0.0637638
+0.0624056
+0.0610958
+0.0598376
+0.0586342
+0.0574891
+0.056406
+0.0553883
+0.0544398
+0.0535641
+0.0527257
+0.0516459
+0.0506218
+0.0496722
+0.0488025
+0.0480171
+0.0473201
+0.0467155
+0.046207
+0.0457978
+0.0454905
+0.0452872
+0.0451794
+0.0451679
+0.0452625
+0.0454626
+0.0457668
+0.0461731
+0.0462142
+0.0462636
+0.0464164
+0.0466717
+0.0470278
+0.0474823
+0.0480326
+0.0486657
+0.0493786
+0.0501771
+0.0510572
+0.0520147
+0.0530454
+0.0541452
+0.05531
+0.0565356
+0.0578183
+0.0591544
+0.0605402
+0.0619725
+0.0634482
+0.0649641
+0.0665178
+0.0681064
+0.0697277
+0.0713794
+0.0730594
+0.115783
+0.115574
+0.115407
+0.115282
+0.115196
+0.115146
+0.115137
+0.11409
+0.112857
+0.111653
+0.110479
+0.109337
+0.108227
+0.10715
+0.106108
+0.105101
+0.10413
+0.10319
+0.102286
+0.101422
+0.100597
+0.0998137
+0.0990727
+0.0983748
+0.0977211
+0.0971125
+0.0960839
+0.094235
+0.0924011
+0.0905831
+0.0887818
+0.0869985
+0.0852341
+0.0834899
+0.0817672
+0.0800674
+0.0783892
+0.0767358
+0.0751098
+0.0735131
+0.0719477
+0.0704157
+0.0689181
+0.0674503
+0.0660226
+0.0646377
+0.0632983
+0.0620073
+0.060768
+0.0595834
+0.0584569
+0.057392
+0.0563921
+0.0554608
+0.0546015
+0.0537785
+0.0527045
+0.0517004
+0.0507709
+0.0499204
+0.0491528
+0.0484722
+0.0478822
+0.0473862
+0.0469872
+0.0466878
+0.0464897
+0.0463843
+0.0463731
+0.0464652
+0.0466602
+0.0469566
+0.0473527
+0.0473563
+0.0474045
+0.0475537
+0.0478029
+0.0481506
+0.0485946
+0.0491324
+0.0497609
+0.0504601
+0.0512418
+0.0521039
+0.0530425
+0.0540536
+0.0551333
+0.0562776
+0.0574826
+0.0587446
+0.0600601
+0.0614255
+0.0628376
+0.0642934
+0.0657899
+0.0673245
+0.0688945
+0.0704977
+0.0721318
+0.0737947
+0.117135
+0.116929
+0.116764
+0.116639
+0.116555
+0.116505
+0.116496
+0.115859
+0.114644
+0.113459
+0.112305
+0.111181
+0.11009
+0.109031
+0.108007
+0.107018
+0.106062
+0.105138
+0.104251
+0.103403
+0.102594
+0.101826
+0.1011
+0.100416
+0.0997761
+0.0985737
+0.0967228
+0.0948864
+0.0930653
+0.0912605
+0.0894729
+0.0877036
+0.0859537
+0.0842243
+0.0825134
+0.0808256
+0.0791624
+0.0775254
+0.0759163
+0.074337
+0.0727893
+0.0712754
+0.0697962
+0.0683473
+0.0669388
+0.0655732
+0.0642533
+0.0629819
+0.0617621
+0.0605969
+0.0594897
+0.0584436
+0.057462
+0.0565483
+0.0557058
+0.0548832
+0.0538306
+0.0528478
+0.0519389
+0.0511078
+0.0503583
+0.0496942
+0.0491189
+0.0486355
+0.0482469
+0.0479553
+0.0477624
+0.0476595
+0.0476485
+0.0477382
+0.047928
+0.0482166
+0.0486024
+0.0485704
+0.0486174
+0.0487629
+0.0490059
+0.0493451
+0.0497785
+0.0503036
+0.0509177
+0.051612
+0.0523764
+0.0532202
+0.0541394
+0.0551304
+0.0561894
+0.0573126
+0.0584963
+0.059737
+0.061031
+0.0623752
+0.0637663
+0.0652013
+0.0666775
+0.0681921
+0.0697426
+0.0713267
+0.0729422
+0.074587
+0.118512
+0.118308
+0.118145
+0.118022
+0.117939
+0.117889
+0.117881
+0.117641
+0.116446
+0.115279
+0.114143
+0.113037
+0.111964
+0.110924
+0.109917
+0.108945
+0.108002
+0.107095
+0.106225
+0.105393
+0.104599
+0.103846
+0.103134
+0.102464
+0.101097
+0.0992449
+0.0974068
+0.0955835
+0.093776
+0.0919851
+0.0902119
+0.0884565
+0.0867183
+0.085001
+0.0833059
+0.0816345
+0.0799881
+0.0783683
+0.0767769
+0.0752157
+0.0736865
+0.0721914
+0.0707313
+0.069302
+0.0679132
+0.0665676
+0.0652678
+0.0640166
+0.0628169
+0.0616717
+0.0605841
+0.0595572
+0.0585943
+0.0576985
+0.056873
+0.0560511
+0.0550208
+0.0540597
+0.0531715
+0.0523599
+0.0516287
+0.0509811
+0.0504205
+0.0499497
+0.0495714
+0.0492876
+0.0491
+0.0489994
+0.0489888
+0.049076
+0.0492607
+0.0495415
+0.0499017
+0.0498513
+0.049897
+0.0500388
+0.0502757
+0.0506064
+0.051029
+0.0515414
+0.0521409
+0.0528245
+0.0535767
+0.0544018
+0.0553014
+0.056272
+0.0573099
+0.0584116
+0.0595734
+0.0607921
+0.0620641
+0.0633864
+0.0647558
+0.0661694
+0.0676244
+0.0691182
+0.0706484
+0.0722127
+0.0738088
+0.0754347
+0.119913
+0.119712
+0.11955
+0.119429
+0.119347
+0.119298
+0.119289
+0.119321
+0.11826
+0.117111
+0.115993
+0.114905
+0.11385
+0.112827
+0.111837
+0.110879
+0.109953
+0.109062
+0.108207
+0.10739
+0.106612
+0.105873
+0.105175
+0.103652
+0.101799
+0.0999597
+0.0981349
+0.0963255
+0.0945321
+0.0927541
+0.0909925
+0.0892499
+0.0875275
+0.0858264
+0.084148
+0.0824936
+0.0808647
+0.0792629
+0.0776898
+0.0761472
+0.0746371
+0.0731615
+0.0717212
+0.070312
+0.0689436
+0.0676185
+0.0663392
+0.0651086
+0.0639294
+0.0628045
+0.0617368
+0.0607294
+0.0597854
+0.0589077
+0.0580995
+0.057279
+0.0562712
+0.0553318
+0.0544643
+0.0536723
+0.0529592
+0.0523281
+0.051782
+0.0513238
+0.0509556
+0.0506796
+0.0504972
+0.050399
+0.0503887
+0.0504735
+0.050653
+0.0509262
+0.0512422
+0.0511931
+0.0512377
+0.0513757
+0.0516065
+0.0519287
+0.0523407
+0.0528404
+0.0534253
+0.0540927
+0.0548382
+0.0556446
+0.0565245
+0.0574744
+0.058491
+0.0595708
+0.0607105
+0.0619067
+0.0631563
+0.0644562
+0.0658033
+0.0671949
+0.0686282
+0.0701006
+0.0716098
+0.0731535
+0.0747295
+0.0763359
+0.121337
+0.121139
+0.120979
+0.120859
+0.120778
+0.12073
+0.120721
+0.120752
+0.120087
+0.118956
+0.117855
+0.116785
+0.115746
+0.11474
+0.113767
+0.112822
+0.111912
+0.111037
+0.110198
+0.109395
+0.108631
+0.107906
+0.106235
+0.104382
+0.102543
+0.100717
+0.0989063
+0.0971086
+0.0953268
+0.0935624
+0.0918163
+0.0900897
+0.0883836
+0.0866994
+0.0850381
+0.0834014
+0.0817906
+0.0802073
+0.0786531
+0.0771298
+0.0756393
+0.0741836
+0.0727635
+0.0713749
+0.0700273
+0.0687231
+0.0674648
+0.0662551
+0.0650966
+0.0639922
+0.0629447
+0.061957
+0.061032
+0.0601725
+0.0593814
+0.0585631
+0.0575778
+0.05666
+0.0558133
+0.0550407
+0.0543455
+0.0537307
+0.053199
+0.0527531
+0.052395
+0.0521266
+0.0519492
+0.0518534
+0.0518434
+0.0519258
+0.0521003
+0.052366
+0.0526384
+0.0525906
+0.052634
+0.0527684
+0.0529931
+0.0533069
+0.0537083
+0.0541954
+0.0547659
+0.0554171
+0.0561463
+0.0569446
+0.0578047
+0.0587339
+0.0597291
+0.0607869
+0.0619042
+0.0630778
+0.0643047
+0.0655818
+0.0669063
+0.0682753
+0.0696864
+0.071137
+0.0726246
+0.0741472
+0.0757025
+0.0772886
+0.122785
+0.122588
+0.122431
+0.122312
+0.122232
+0.122184
+0.122176
+0.122206
+0.121925
+0.120812
+0.119728
+0.118675
+0.117653
+0.116663
+0.115704
+0.114774
+0.113879
+0.113019
+0.112195
+0.111407
+0.110657
+0.108846
+0.106993
+0.105153
+0.103327
+0.101513
+0.0997134
+0.09793
+0.0961634
+0.0944146
+0.0926846
+0.0909745
+0.0892853
+0.0876184
+0.0859749
+0.0843564
+0.0827641
+0.0811998
+0.079665
+0.0781614
+0.076691
+0.0752556
+0.0738562
+0.0724885
+0.0711619
+0.0698789
+0.0686418
+0.0674532
+0.0663157
+0.065232
+0.0642047
+0.0632366
+0.0623306
+0.0614893
+0.0607153
+0.0598999
+0.0589369
+0.0580406
+0.0572143
+0.0564609
+0.0557834
+0.0551846
+0.0546671
+0.0542332
+0.0538849
+0.053624
+0.0534516
+0.0533581
+0.0533484
+0.0534285
+0.0535981
+0.0538564
+0.0540873
+0.0540408
+0.054083
+0.0542138
+0.0544325
+0.0547381
+0.0551291
+0.0556037
+0.0561599
+0.0567951
+0.0575068
+0.0582923
+0.0591384
+0.060047
+0.0610207
+0.0620565
+0.0631514
+0.0643022
+0.0655062
+0.0667603
+0.0680618
+0.0694081
+0.0707966
+0.0722249
+0.0736906
+0.0751915
+0.0767257
+0.0782911
+0.108469
+0.107232
+0.106025
+0.104849
+0.103666
+0.10242
+0.101206
+0.100026
+0.098873
+0.0977559
+0.0966307
+0.095533
+0.094467
+0.0934403
+0.0924542
+0.0914573
+0.0904638
+0.089477
+0.0885115
+0.0875849
+0.0867037
+0.0858693
+0.0850832
+0.0843232
+0.0835377
+0.0827801
+0.0820377
+0.0812917
+0.0805984
+0.0796118
+0.078626
+0.0776895
+0.0767862
+0.0759168
+0.0751012
+0.0743412
+0.0736386
+0.0729869
+0.072391
+0.0714802
+0.0705347
+0.0696453
+0.0688142
+0.0680435
+0.0673349
+0.0665882
+0.0658691
+0.0652094
+0.0646092
+0.0640753
+0.0636009
+0.0631876
+0.0628445
+0.06219
+0.0613796
+0.0606375
+0.0599662
+0.0593683
+0.0588459
+0.0584011
+0.058034
+0.0577333
+0.0574553
+0.0570758
+0.0567783
+0.0565642
+0.0564344
+0.0563894
+0.0561272
+0.0558072
+0.0555077
+0.055284
+0.0551347
+0.0550548
+0.055025
+0.0550693
+0.0552006
+0.0553975
+0.0556419
+0.0559648
+0.0563254
+0.0567139
+0.0571837
+0.0575904
+0.0577218
+0.0579358
+0.0582315
+0.0586076
+0.0590626
+0.0595878
+0.0601797
+0.0608447
+0.0615805
+0.0623845
+0.0632543
+0.0641871
+0.0651802
+0.0662308
+0.0673364
+0.0684942
+0.107227
+0.105975
+0.104753
+0.103564
+0.102406
+0.101207
+0.0999786
+0.0987836
+0.0976223
+0.0964907
+0.0953834
+0.0942748
+0.0932013
+0.0921605
+0.0911605
+0.0901967
+0.0891891
+0.0882193
+0.0872419
+0.0863052
+0.0854108
+0.0845637
+0.0837654
+0.0830171
+0.0822418
+0.0814721
+0.0807545
+0.0799977
+0.0792931
+0.0784327
+0.0774319
+0.0764807
+0.0755631
+0.0746794
+0.0738501
+0.0730771
+0.0723622
+0.0716997
+0.0706542
+0.0696286
+0.0686576
+0.0677436
+0.0668889
+0.0660957
+0.0653664
+0.0645761
+0.0638344
+0.0631581
+0.0625383
+0.0619896
+0.0614998
+0.0610754
+0.0607203
+0.0604057
+0.059571
+0.0588061
+0.0581137
+0.0574965
+0.056957
+0.0564973
+0.0561193
+0.0558097
+0.0555833
+0.0552346
+0.0549272
+0.0547059
+0.0545716
+0.0545251
+0.054168
+0.0538352
+0.0535261
+0.0532988
+0.0531445
+0.0530738
+0.0530429
+0.0530888
+0.053225
+0.0534293
+0.0536817
+0.0540121
+0.0543784
+0.0547806
+0.0552668
+0.0557265
+0.0558623
+0.0560834
+0.0563887
+0.0567771
+0.0572467
+0.0577935
+0.0584035
+0.0590885
+0.0598459
+0.0606729
+0.0615669
+0.0625248
+0.0635439
+0.0646212
+0.0657538
+0.066939
+0.106015
+0.104748
+0.103512
+0.102309
+0.101138
+0.0999999
+0.0987841
+0.0975745
+0.0963995
+0.095259
+0.09415
+0.0930437
+0.0919591
+0.0909143
+0.0899016
+0.0889302
+0.0879505
+0.0869721
+0.0860074
+0.0850611
+0.0841551
+0.0832953
+0.0824846
+0.0817247
+0.0809806
+0.0802016
+0.0794725
+0.0787434
+0.0780275
+0.0772977
+0.076282
+0.0753163
+0.0743843
+0.0734864
+0.0726435
+0.0718575
+0.0711117
+0.0699558
+0.0688501
+0.0677973
+0.0667997
+0.0658599
+0.0649804
+0.0641636
+0.0633967
+0.062573
+0.0618104
+0.0611136
+0.0604758
+0.0599084
+0.0594051
+0.0589689
+0.0586011
+0.0583133
+0.0577889
+0.0570001
+0.0562855
+0.055648
+0.0550904
+0.0546149
+0.0542239
+0.0539064
+0.053672
+0.0534199
+0.053102
+0.052873
+0.0527341
+0.0526551
+0.0522203
+0.0518745
+0.0515615
+0.051326
+0.0511708
+0.0511034
+0.0510757
+0.0511235
+0.0512649
+0.0514738
+0.0517399
+0.0520725
+0.0524505
+0.0528674
+0.0533711
+0.0538872
+0.0540276
+0.0542561
+0.0545717
+0.0549729
+0.0554578
+0.0560242
+0.0566563
+0.0573622
+0.0581421
+0.058993
+0.059912
+0.060896
+0.0619419
+0.0630466
+0.064207
+0.0654202
+0.104835
+0.103554
+0.102303
+0.101085
+0.0999004
+0.0987494
+0.0976243
+0.0964001
+0.0952106
+0.0940571
+0.092939
+0.0918485
+0.0907495
+0.0896906
+0.0886732
+0.087694
+0.0867495
+0.0857574
+0.0848103
+0.0838516
+0.0829362
+0.0820636
+0.0812407
+0.080469
+0.0797442
+0.0789715
+0.0782309
+0.0775308
+0.0768035
+0.0761324
+0.0751783
+0.0741983
+0.073252
+0.0723401
+0.0714837
+0.070622
+0.0693888
+0.0682036
+0.0670691
+0.0659878
+0.0649625
+0.0639957
+0.0630902
+0.0622487
+0.061433
+0.0605826
+0.0597981
+0.0590776
+0.0584227
+0.0578351
+0.0573177
+0.0568687
+0.0564873
+0.0561887
+0.0559711
+0.0552219
+0.054484
+0.0538252
+0.0532485
+0.0527565
+0.0523516
+0.0520258
+0.0517829
+0.0516319
+0.0513054
+0.0510683
+0.0509245
+0.0507433
+0.050292
+0.0499329
+0.0496157
+0.049371
+0.0492154
+0.0491454
+0.0491272
+0.0491768
+0.0493238
+0.0495349
+0.0498152
+0.0501535
+0.0505441
+0.0509766
+0.0514972
+0.052075
+0.0522203
+0.0524567
+0.0527831
+0.0531978
+0.0536987
+0.0542834
+0.054941
+0.0556686
+0.0564718
+0.0573476
+0.0582926
+0.0593034
+0.0603769
+0.0615097
+0.0626986
+0.0639404
+0.103687
+0.102392
+0.101127
+0.0998949
+0.0986957
+0.097531
+0.0964013
+0.0952616
+0.0940577
+0.0928898
+0.0917595
+0.0906655
+0.0895772
+0.0885043
+0.0874731
+0.0864851
+0.0855412
+0.0845821
+0.0836217
+0.0826826
+0.0817541
+0.0808687
+0.0800335
+0.07925
+0.0785199
+0.0777836
+0.0770316
+0.0763352
+0.0756232
+0.0749415
+0.074123
+0.0731288
+0.0721686
+0.0712428
+0.07026
+0.0689564
+0.0676929
+0.0664775
+0.065313
+0.0642022
+0.0631478
+0.0621528
+0.0612201
+0.0603525
+0.0594852
+0.0586065
+0.0577976
+0.0570531
+0.0563799
+0.0557708
+0.0552382
+0.0547749
+0.0543796
+0.0540693
+0.0538447
+0.0534744
+0.052712
+0.0520308
+0.0514339
+0.0509244
+0.0505048
+0.0501703
+0.0499184
+0.0497535
+0.0495405
+0.049295
+0.049146
+0.0488551
+0.0483861
+0.0480127
+0.0476913
+0.0474366
+0.0472806
+0.0472077
+0.0471998
+0.0472515
+0.0474045
+0.0476178
+0.0479062
+0.0482577
+0.0486577
+0.0491068
+0.0496457
+0.0502604
+0.0504435
+0.0506882
+0.0510259
+0.0514547
+0.0519724
+0.0525763
+0.0532605
+0.0540107
+0.0548383
+0.0557397
+0.0567115
+0.05775
+0.0588518
+0.0600134
+0.0612313
+0.0625023
+0.102574
+0.101264
+0.0999855
+0.0987388
+0.0975254
+0.0963465
+0.0952034
+0.0940967
+0.0929421
+0.09176
+0.0906156
+0.0895101
+0.088442
+0.0873126
+0.0861886
+0.0851061
+0.0840668
+0.0830723
+0.0821225
+0.0812144
+0.0803557
+0.0795482
+0.0787932
+0.0780736
+0.0773323
+0.0766386
+0.0758767
+0.0751695
+0.0744883
+0.0737964
+0.0731182
+0.0721101
+0.0711361
+0.0700196
+0.0686468
+0.067312
+0.0660217
+0.0647795
+0.0635839
+0.0624423
+0.0613577
+0.0603332
+0.0593719
+0.0584768
+0.0575548
+0.0566462
+0.0558089
+0.0550412
+0.054346
+0.0537165
+0.0531669
+0.0526862
+0.0522787
+0.0519559
+0.0517234
+0.051566
+0.0508549
+0.0502224
+0.0495818
+0.0490152
+0.0485409
+0.0481617
+0.0478798
+0.047697
+0.0476016
+0.0475564
+0.0473902
+0.046993
+0.0465053
+0.0461167
+0.0457907
+0.0455254
+0.0453644
+0.0452908
+0.0452964
+0.0453503
+0.0455097
+0.0457252
+0.0460223
+0.0463879
+0.0467965
+0.0472633
+0.0478229
+0.0484607
+0.0487003
+0.0489538
+0.0493033
+0.049747
+0.0502823
+0.0509063
+0.0516158
+0.052392
+0.0532448
+0.0541727
+0.0551721
+0.0562391
+0.0573699
+0.0585609
+0.0598084
+0.061109
+0.101474
+0.100172
+0.0988789
+0.0976181
+0.0963906
+0.0951977
+0.0940406
+0.0929209
+0.0918232
+0.0904904
+0.0891914
+0.0879278
+0.0867011
+0.085513
+0.084365
+0.0832589
+0.0821962
+0.0811788
+0.0802083
+0.0792805
+0.0784007
+0.0775728
+0.0767984
+0.0760793
+0.075417
+0.074813
+0.0742687
+0.0737855
+0.0733645
+0.0726993
+0.0720566
+0.0711443
+0.0699157
+0.0684709
+0.0670665
+0.0656995
+0.0643769
+0.0631026
+0.0618797
+0.0607105
+0.0595944
+0.058539
+0.0575477
+0.0566239
+0.0556437
+0.0547034
+0.0538358
+0.0530436
+0.0523218
+0.0516734
+0.0511021
+0.050606
+0.0501854
+0.0498491
+0.0496074
+0.0494444
+0.0489134
+0.0482555
+0.0476188
+0.0470285
+0.046534
+0.0461383
+0.045844
+0.045653
+0.045555
+0.0455331
+0.0455213
+0.0451172
+0.0446528
+0.0442479
+0.0439172
+0.0436405
+0.0434726
+0.0433957
+0.0434113
+0.0434764
+0.0436426
+0.0438605
+0.0441667
+0.0445474
+0.0449649
+0.0454505
+0.0460321
+0.0466944
+0.0469947
+0.0472573
+0.0476193
+0.0480785
+0.0486321
+0.049277
+0.0500097
+0.0508162
+0.051695
+0.0526502
+0.0536779
+0.054774
+0.0559345
+0.0571554
+0.0584329
+0.0597635
+0.100385
+0.099096
+0.097809
+0.0965342
+0.0952927
+0.0940858
+0.092915
+0.0915489
+0.0901618
+0.0888071
+0.0874854
+0.0861968
+0.0849451
+0.083732
+0.0825593
+0.0814286
+0.0803418
+0.0793006
+0.0783068
+0.0773603
+0.0764584
+0.0756092
+0.0748146
+0.0740762
+0.0733958
+0.072775
+0.0722154
+0.0717183
+0.0712851
+0.0709118
+0.0705965
+0.0698964
+0.0684109
+0.066958
+0.0655212
+0.0641213
+0.0627655
+0.0614578
+0.0602014
+0.0589997
+0.0578559
+0.0567726
+0.05575
+0.0547958
+0.053754
+0.05278
+0.0518802
+0.0510586
+0.0503097
+0.0496429
+0.049048
+0.0485356
+0.0481009
+0.0477499
+0.0474975
+0.047329
+0.0469938
+0.0463086
+0.0456752
+0.0450608
+0.0445444
+0.0441309
+0.0438231
+0.0436232
+0.0435224
+0.0434995
+0.0435869
+0.0432611
+0.0428322
+0.0424099
+0.0420655
+0.0417855
+0.04161
+0.0415297
+0.0415524
+0.0416321
+0.0418064
+0.0420272
+0.0423432
+0.0427349
+0.0431668
+0.0436724
+0.0442774
+0.0449655
+0.0453307
+0.0456029
+0.0459779
+0.0464534
+0.0470262
+0.0476928
+0.0484494
+0.0492874
+0.0501929
+0.0511763
+0.052233
+0.0533588
+0.0545494
+0.0558006
+0.0571084
+0.0584691
+0.0993332
+0.0980301
+0.0967589
+0.0954882
+0.0942329
+0.0928513
+0.0913789
+0.0899358
+0.0885234
+0.0871432
+0.0857968
+0.0844857
+0.0832097
+0.0819709
+0.0807726
+0.0796166
+0.0785047
+0.0774388
+0.0764208
+0.0754527
+0.0745299
+0.0736585
+0.0728426
+0.072084
+0.0713846
+0.0707462
+0.0701704
+0.0696587
+0.0692127
+0.0688304
+0.0685056
+0.0682496
+0.066927
+0.0654475
+0.0640086
+0.06258
+0.06119
+0.0598479
+0.058557
+0.0573208
+0.0561429
+0.055027
+0.053977
+0.0529608
+0.051887
+0.0508782
+0.0499442
+0.0490899
+0.0483101
+0.0476175
+0.0470062
+0.0464763
+0.0460262
+0.0456593
+0.0453952
+0.0452208
+0.0450987
+0.0443843
+0.0437493
+0.0431145
+0.0425746
+0.0421417
+0.0418193
+0.0416098
+0.0415059
+0.041482
+0.0415736
+0.0414368
+0.0410478
+0.0406036
+0.0402456
+0.0399644
+0.0397809
+0.0396969
+0.0397274
+0.0398119
+0.0399946
+0.0402269
+0.0405519
+0.0409561
+0.0414065
+0.0419334
+0.0425631
+0.0432577
+0.0437133
+0.0439954
+0.0443841
+0.0448764
+0.0454691
+0.0461582
+0.0469395
+0.0478085
+0.0487431
+0.0497551
+0.0508414
+0.0519973
+0.0532184
+0.0545001
+0.0558385
+0.0572292
+0.0983187
+0.0970019
+0.095608
+0.0942132
+0.0928388
+0.0913137
+0.0898162
+0.0883476
+0.0869094
+0.0855032
+0.0841305
+0.082793
+0.0814924
+0.0802306
+0.0790063
+0.077824
+0.0766861
+0.0755946
+0.0745514
+0.0735588
+0.0726163
+0.0717217
+0.0708834
+0.0701037
+0.0693843
+0.0687273
+0.0681344
+0.0676074
+0.0671477
+0.066756
+0.0664211
+0.0661571
+0.0654828
+0.0639699
+0.0624968
+0.0610668
+0.0596534
+0.058276
+0.0569495
+0.0556776
+0.0544641
+0.0533131
+0.0522287
+0.0511504
+0.0500378
+0.0489979
+0.04803
+0.0471408
+0.0463279
+0.0456052
+0.0449777
+0.0444287
+0.0439614
+0.0435785
+0.0433018
+0.0431207
+0.0430431
+0.0424818
+0.0418375
+0.0411928
+0.0406273
+0.0401735
+0.0398351
+0.0396152
+0.039508
+0.0394828
+0.0395791
+0.0396373
+0.0392981
+0.0388269
+0.0384643
+0.0381723
+0.0379901
+0.0379021
+0.0379378
+0.0380286
+0.0382189
+0.038457
+0.0387967
+0.039219
+0.0396891
+0.0402384
+0.0408943
+0.0415945
+0.0421476
+0.0424402
+0.0428429
+0.0433528
+0.043966
+0.0446783
+0.0454851
+0.0463813
+0.0473503
+0.0483914
+0.0495076
+0.050694
+0.0519457
+0.0532581
+0.0546257
+0.0560338
+0.0969377
+0.0954618
+0.0940137
+0.0925948
+0.0912065
+0.0898034
+0.0882802
+0.0867856
+0.0853211
+0.0838882
+0.0824887
+0.0811241
+0.0797964
+0.0785073
+0.0772589
+0.0760523
+0.0748875
+0.0737694
+0.0727
+0.0716817
+0.0707167
+0.0697998
+0.0689382
+0.0681362
+0.0673959
+0.0667193
+0.0661084
+0.065565
+0.0650909
+0.0646876
+0.0643437
+0.0640711
+0.0638725
+0.0625339
+0.0610262
+0.0595609
+0.0581356
+0.0567451
+0.0553819
+0.0540731
+0.0528229
+0.0516353
+0.0505148
+0.0493709
+0.0482172
+0.0471371
+0.0461359
+0.0452137
+0.0443652
+0.04361
+0.0429534
+0.0423912
+0.0419063
+0.041509
+0.0412184
+0.0410282
+0.0409466
+0.0406084
+0.0399338
+0.039286
+0.0387062
+0.0382295
+0.0378738
+0.0376424
+0.0375316
+0.0375051
+0.0376064
+0.0378345
+0.0375301
+0.0370944
+0.0367257
+0.0364215
+0.0362433
+0.036151
+0.0361885
+0.0362892
+0.0364883
+0.0367323
+0.0370879
+0.0375294
+0.0380204
+0.0385935
+0.0392768
+0.0399821
+0.0406339
+0.0409431
+0.0413605
+0.0418884
+0.0425227
+0.0432588
+0.0440915
+0.0450156
+0.0460157
+0.0470863
+0.0482327
+0.0494497
+0.0507321
+0.0520746
+0.0534606
+0.0548983
+0.0954159
+0.093916
+0.0924438
+0.0910004
+0.0895874
+0.0882061
+0.0867723
+0.0852513
+0.08376
+0.0822999
+0.0808729
+0.0794806
+0.0781249
+0.0768078
+0.0755313
+0.0742975
+0.0731085
+0.0719645
+0.070868
+0.069823
+0.0688318
+0.0678926
+0.0670069
+0.0661819
+0.0654198
+0.0647228
+0.0640931
+0.0635326
+0.0630432
+0.0626266
+0.0622741
+0.0619923
+0.061787
+0.0611378
+0.0595948
+0.0580934
+0.0566365
+0.0552209
+0.0538573
+0.0525111
+0.0512227
+0.0499971
+0.0488391
+0.0476256
+0.0464286
+0.0453059
+0.0442632
+0.0433064
+0.0424249
+0.0416346
+0.0409462
+0.0403652
+0.0398656
+0.0394526
+0.0391467
+0.0389464
+0.0388604
+0.0387682
+0.0380611
+0.0374053
+0.0368052
+0.0363136
+0.0359389
+0.035695
+0.0355803
+0.0355523
+0.0356592
+0.035898
+0.0357921
+0.0354128
+0.0350264
+0.0347206
+0.0345361
+0.0344503
+0.0344895
+0.0346009
+0.0348096
+0.0350597
+0.0354321
+0.035894
+0.0364071
+0.0370051
+0.0377046
+0.0384271
+0.0390863
+0.0395109
+0.0399432
+0.0404895
+0.0411454
+0.0419057
+0.0427648
+0.0437113
+0.0447334
+0.045834
+0.047011
+0.0482588
+0.049572
+0.0509451
+0.052361
+0.0538281
+0.0939197
+0.0923964
+0.0908995
+0.0894312
+0.087993
+0.0865863
+0.0852128
+0.0837462
+0.0822276
+0.0807398
+0.0792847
+0.077864
+0.0764797
+0.0751338
+0.0738283
+0.0725655
+0.0713477
+0.070177
+0.0690561
+0.067984
+0.0669656
+0.0659998
+0.0650885
+0.0642389
+0.0634537
+0.0627352
+0.0620856
+0.0615073
+0.0610023
+0.0605723
+0.060213
+0.0599215
+0.0597091
+0.0595766
+0.0582087
+0.0566706
+0.0551767
+0.0537298
+0.0523273
+0.0509805
+0.0496676
+0.0484027
+0.0472056
+0.0459185
+0.0446758
+0.0435079
+0.0424211
+0.0414217
+0.0405102
+0.0396817
+0.0389589
+0.0383478
+0.0378417
+0.0374115
+0.0370887
+0.0368772
+0.0367864
+0.0368259
+0.036224
+0.0355601
+0.0349283
+0.0344246
+0.0340333
+0.0337756
+0.0336585
+0.0336289
+0.0337419
+0.0339902
+0.0341011
+0.0337896
+0.0333844
+0.0330773
+0.0328836
+0.0328055
+0.0328468
+0.0329692
+0.0331907
+0.0334471
+0.0338372
+0.0343133
+0.0348568
+0.035481
+0.036186
+0.0369284
+0.0376026
+0.0381507
+0.0385982
+0.0391634
+0.0398411
+0.0406258
+0.0415099
+0.0424725
+0.0435238
+0.0446542
+0.0458614
+0.0471396
+0.0484832
+0.0498863
+0.0513314
+0.0528271
+0.092442
+0.0909012
+0.0893823
+0.0878887
+0.0864248
+0.0849922
+0.0835924
+0.0822272
+0.0807256
+0.0792096
+0.0777258
+0.0762761
+0.0748624
+0.0734869
+0.0721516
+0.070859
+0.0696105
+0.0684073
+0.067254
+0.0661531
+0.0651074
+0.0641195
+0.0631877
+0.0623122
+0.0615024
+0.0607608
+0.0600899
+0.0594922
+0.0589699
+0.058525
+0.0581592
+0.0578596
+0.0576396
+0.0575023
+0.0568733
+0.0552981
+0.053766
+0.0522808
+0.0508457
+0.0494585
+0.0481311
+0.0468565
+0.0455928
+0.0442462
+0.0429632
+0.0417475
+0.0406136
+0.0395685
+0.0386196
+0.0377549
+0.0369945
+0.0363504
+0.0358264
+0.0353882
+0.0350469
+0.034823
+0.0347268
+0.0347686
+0.0344283
+0.0337563
+0.0330901
+0.0325579
+0.0321503
+0.0318773
+0.0317536
+0.0317402
+0.0318598
+0.0321184
+0.03247
+0.0322004
+0.0318085
+0.0315008
+0.0312973
+0.0312182
+0.0312616
+0.031402
+0.031632
+0.0318941
+0.032303
+0.0328
+0.0333784
+0.0340159
+0.0347392
+0.0354981
+0.0361907
+0.0368706
+0.0373335
+0.0379175
+0.0386171
+0.0394262
+0.0403227
+0.0413128
+0.0423928
+0.0435526
+0.0447896
+0.0460975
+0.0474705
+0.0489027
+0.050376
+0.0518993
+0.0909931
+0.0894273
+0.0878882
+0.0863741
+0.0848841
+0.083425
+0.0819985
+0.0806063
+0.0792502
+0.077711
+0.076198
+0.0747187
+0.073275
+0.0718691
+0.0705014
+0.0691751
+0.0678935
+0.0666594
+0.0654753
+0.064344
+0.0632684
+0.0622513
+0.0612956
+0.0604035
+0.0595677
+0.0588017
+0.0581083
+0.05749
+0.0569493
+0.0564884
+0.0561094
+0.0558075
+0.0555793
+0.0554369
+0.0553808
+0.0539796
+0.052409
+0.0508842
+0.0494095
+0.0479884
+0.0466191
+0.0453144
+0.0440148
+0.0426183
+0.0412908
+0.0400295
+0.0388455
+0.0377516
+0.0367558
+0.0358584
+0.0350569
+0.0343765
+0.0338245
+0.0333733
+0.0330201
+0.0327864
+0.0326842
+0.0327286
+0.0326808
+0.031978
+0.0312972
+0.030734
+0.0303083
+0.0300186
+0.0298872
+0.0298886
+0.0300196
+0.0302894
+0.0306985
+0.030613
+0.0303092
+0.0300015
+0.0297878
+0.0297077
+0.0297533
+0.0299133
+0.0301421
+0.0304171
+0.0308455
+0.0313668
+0.0319686
+0.0326183
+0.0333737
+0.0341461
+0.0348595
+0.0356342
+0.0361546
+0.0367573
+0.0374786
+0.038303
+0.0392218
+0.0402391
+0.0413471
+0.0425354
+0.0438011
+0.0451377
+0.0465391
+0.047999
+0.0494993
+0.0510487
+0.0895743
+0.0879832
+0.0864184
+0.0848813
+0.0833718
+0.0818858
+0.080432
+0.0790121
+0.0776282
+0.0762459
+0.0747033
+0.0731937
+0.0717165
+0.0702767
+0.0688764
+0.0675181
+0.0662046
+0.0649383
+0.0637222
+0.0625593
+0.0614524
+0.0604047
+0.0594194
+0.0584995
+0.0576483
+0.0568596
+0.0561417
+0.0555009
+0.05494
+0.0544615
+0.0540676
+0.0537602
+0.0535294
+0.0533815
+0.0533233
+0.0527093
+0.0511099
+0.0495451
+0.0480294
+0.0465673
+0.0451627
+0.0438147
+0.0424911
+0.0410428
+0.0396626
+0.038358
+0.0371225
+0.0359762
+0.0349299
+0.0339927
+0.0331509
+0.0324305
+0.0318448
+0.0313786
+0.0310082
+0.0307709
+0.030662
+0.0307094
+0.0309123
+0.0302476
+0.029558
+0.028961
+0.0285157
+0.0282076
+0.0280677
+0.02807
+0.0282296
+0.0285114
+0.0289456
+0.0290894
+0.0288983
+0.0285852
+0.0283608
+0.0282864
+0.0283343
+0.0285153
+0.0287421
+0.0290303
+0.029479
+0.0300251
+0.0306343
+0.0313116
+0.0320899
+0.0328719
+0.0336155
+0.0344062
+0.0350597
+0.0356809
+0.0364235
+0.0372713
+0.0382149
+0.0392583
+0.0403933
+0.0416088
+0.0429019
+0.0442656
+0.0456937
+0.0471799
+0.0487053
+0.0502792
+0.0881871
+0.0865705
+0.0849797
+0.0834161
+0.0818812
+0.0803751
+0.0788935
+0.0774455
+0.076033
+0.0746581
+0.0732398
+0.0716967
+0.0701881
+0.0687162
+0.0672835
+0.0658924
+0.0645457
+0.0632463
+0.061997
+0.0608011
+0.0596616
+0.0585819
+0.0575654
+0.0566154
+0.0557354
+0.0549287
+0.0541873
+0.0535231
+0.0529412
+0.0524445
+0.0520353
+0.0517158
+0.0514876
+0.0513373
+0.0512768
+0.0513098
+0.0498102
+0.0482368
+0.0467112
+0.0452065
+0.0437599
+0.0423752
+0.0410254
+0.039526
+0.0380909
+0.0367305
+0.0354512
+0.034249
+0.0331482
+0.0321591
+0.0312822
+0.0305177
+0.0298946
+0.0294092
+0.0290222
+0.0287725
+0.0286646
+0.0287153
+0.0289322
+0.0285804
+0.0278826
+0.0272489
+0.0267799
+0.0264541
+0.0263048
+0.0263083
+0.0264875
+0.0267947
+0.0272546
+0.0276555
+0.0275134
+0.0272609
+0.0270258
+0.0269629
+0.0270185
+0.027222
+0.027443
+0.0277468
+0.0282159
+0.0287793
+0.0294028
+0.0301079
+0.0309024
+0.031698
+0.0324685
+0.0332772
+0.0340707
+0.0347096
+0.0354726
+0.0363425
+0.0373097
+0.0383776
+0.0395379
+0.040779
+0.0420975
+0.0434865
+0.0449394
+0.0464496
+0.0479983
+0.0495947
+0.086833
+0.0851907
+0.0835737
+0.0819832
+0.080421
+0.0788887
+0.0773864
+0.0759097
+0.0744681
+0.0730637
+0.0716988
+0.0702362
+0.0686955
+0.067191
+0.065725
+0.0643002
+0.0629195
+0.0615857
+0.0603021
+0.0590718
+0.0578983
+0.0567851
+0.0557358
+0.0547541
+0.0538437
+0.0530082
+0.0522512
+0.0515624
+0.0509582
+0.0504419
+0.0500164
+0.0496839
+0.0494463
+0.049305
+0.0492427
+0.049277
+0.0485521
+0.0469365
+0.0453692
+0.0438554
+0.0424007
+0.0409943
+0.0396205
+0.0380718
+0.0365829
+0.0351642
+0.0338279
+0.0325776
+0.0314183
+0.0303729
+0.0294536
+0.0286447
+0.0279799
+0.0274686
+0.0270678
+0.0267998
+0.0266976
+0.026752
+0.0269847
+0.0269882
+0.026283
+0.0256098
+0.0251102
+0.0247703
+0.0246108
+0.0246155
+0.0248069
+0.0251516
+0.0256297
+0.0262597
+0.0261767
+0.0260184
+0.025808
+0.0257421
+0.0258083
+0.0260457
+0.0262449
+0.0265624
+0.027052
+0.0276414
+0.0282876
+0.0290198
+0.0298175
+0.0306361
+0.0314319
+0.0322543
+0.0331694
+0.0338524
+0.0346342
+0.0355247
+0.0365135
+0.0376041
+0.0387876
+0.0400519
+0.0413936
+0.0428054
+0.0442806
+0.0458126
+0.0473821
+0.0489985
+0.0855136
+0.0838455
+0.082202
+0.0805845
+0.0789946
+0.0774341
+0.0759047
+0.0744067
+0.0729354
+0.071501
+0.0701056
+0.0687518
+0.0672412
+0.0657034
+0.0642034
+0.0627441
+0.0613284
+0.0599592
+0.05864
+0.0573741
+0.0561651
+0.0550169
+0.0539332
+0.052918
+0.0519754
+0.0511094
+0.0503239
+0.049621
+0.0489929
+0.0484557
+0.0480125
+0.0476661
+0.0474183
+0.047271
+0.0472226
+0.0472584
+0.047362
+0.0457043
+0.0440933
+0.042534
+0.0410325
+0.0395953
+0.0381752
+0.0366847
+0.0351431
+0.0336676
+0.0322694
+0.0309633
+0.0297491
+0.0286429
+0.0276662
+0.0268199
+0.0261087
+0.0255658
+0.0251501
+0.0248638
+0.0247664
+0.0248267
+0.0250773
+0.0254819
+0.0247521
+0.0240586
+0.0235261
+0.0231714
+0.0230008
+0.0230069
+0.0232116
+0.0235974
+0.0240946
+0.0247636
+0.0249587
+0.024907
+0.0247244
+0.0246559
+0.024725
+0.0249727
+0.0251804
+0.0255111
+0.0260205
+0.0266328
+0.027303
+0.0280608
+0.0288518
+0.0296979
+0.0304911
+0.031335
+0.0322762
+0.0331182
+0.0339169
+0.0348257
+0.0358339
+0.0369445
+0.0381484
+0.0394332
+0.0407953
+0.0422271
+0.0437219
+0.0452728
+0.0468604
+0.0484942
+0.0842305
+0.0825365
+0.0808663
+0.0792216
+0.0776038
+0.0760147
+0.0744562
+0.0729302
+0.071437
+0.0699719
+0.0685454
+0.0671602
+0.0658187
+0.064256
+0.0627215
+0.0612269
+0.0597752
+0.0583696
+0.0570136
+0.0557108
+0.0544649
+0.05328
+0.0521602
+0.0511099
+0.0501333
+0.0492349
+0.048419
+0.0476899
+0.0470475
+0.0464878
+0.0460257
+0.0456641
+0.0454055
+0.0452516
+0.0452034
+0.0452558
+0.045399
+0.0445459
+0.0428913
+0.0412867
+0.0397381
+0.0382523
+0.0367803
+0.0353229
+0.0337778
+0.0322461
+0.030788
+0.0294162
+0.0281482
+0.02698
+0.0259407
+0.0250504
+0.024291
+0.0237066
+0.0232758
+0.0229735
+0.0228681
+0.0229484
+0.0232188
+0.0236564
+0.0233106
+0.0226135
+0.0220461
+0.0216762
+0.0214937
+0.0215014
+0.0217203
+0.0221246
+0.0226674
+0.0233731
+0.0238763
+0.0238953
+0.0237549
+0.0237187
+0.0237946
+0.0240395
+0.0242674
+0.0246104
+0.0251208
+0.0257597
+0.0264591
+0.027224
+0.0280244
+0.0288652
+0.0296791
+0.0305454
+0.0315102
+0.0325152
+0.0333284
+0.0342528
+0.0352773
+0.036405
+0.0376261
+0.0389282
+0.0403073
+0.0417559
+0.0432669
+0.0448336
+0.0464362
+0.0480844
+0.0829854
+0.0812654
+0.0795686
+0.0778965
+0.0762506
+0.0746327
+0.0730447
+0.0714886
+0.0699664
+0.0684787
+0.0670205
+0.0656031
+0.064229
+0.0628517
+0.061282
+0.0597514
+0.058263
+0.05682
+0.0554261
+0.054085
+0.0528008
+0.0515777
+0.0504202
+0.0493328
+0.0483203
+0.0473875
+0.0465393
+0.0457802
+0.0451148
+0.0445371
+0.0440545
+0.0436767
+0.0434062
+0.0432451
+0.0431947
+0.0432554
+0.0434122
+0.043467
+0.0417697
+0.0401203
+0.0385248
+0.0369901
+0.0354529
+0.0339247
+0.0324414
+0.0309081
+0.0293901
+0.0279553
+0.0266177
+0.0253972
+0.0242904
+0.0233372
+0.0225396
+0.0219087
+0.0214527
+0.0211413
+0.0210266
+0.0211124
+0.0214065
+0.021898
+0.0219932
+0.0212961
+0.0206926
+0.0203076
+0.0201128
+0.0201221
+0.0203559
+0.0207767
+0.0213596
+0.0221015
+0.0229526
+0.0229726
+0.0229541
+0.0229166
+0.0230355
+0.0232485
+0.023511
+0.0238591
+0.024365
+0.0250229
+0.0257426
+0.0265299
+0.0273206
+0.028177
+0.0290101
+0.0298958
+0.0308809
+0.0319361
+0.0328756
+0.0338124
+0.0348498
+0.0359909
+0.0372256
+0.0385412
+0.0399337
+0.0413953
+0.0429191
+0.044498
+0.0461123
+0.0477717
+0.08178
+0.0800342
+0.0783107
+0.0766111
+0.074937
+0.0732901
+0.0716724
+0.0700858
+0.0685325
+0.0670148
+0.0655334
+0.064083
+0.0626757
+0.0613144
+0.0598881
+0.0583209
+0.056795
+0.0553138
+0.0538809
+0.0525004
+0.0511764
+0.0499135
+0.0487165
+0.0475902
+0.0465398
+0.0455706
+0.0446879
+0.0438968
+0.0432024
+0.042604
+0.0420993
+0.0417037
+0.0414203
+0.0412515
+0.0411987
+0.0412623
+0.041435
+0.0417066
+0.0407209
+0.0390334
+0.0373981
+0.0358046
+0.0342141
+0.0326139
+0.0310732
+0.0295985
+0.0280869
+0.0265884
+0.025185
+0.0238933
+0.0227295
+0.0217079
+0.020867
+0.0201884
+0.0196941
+0.0193836
+0.0192585
+0.0193504
+0.0196709
+0.0202215
+0.0208164
+0.0201314
+0.0194919
+0.0190839
+0.0188801
+0.0188968
+0.0191411
+0.0195817
+0.0201992
+0.0209821
+0.0219253
+0.0222265
+0.0223232
+0.022299
+0.0224318
+0.0226425
+0.022912
+0.0232691
+0.0237875
+0.0244607
+0.0251967
+0.0259983
+0.0267723
+0.0276456
+0.0284943
+0.0293937
+0.0303968
+0.0314683
+0.0325413
+0.0335097
+0.0345562
+0.0357066
+0.0369509
+0.0382759
+0.0396777
+0.0411485
+0.042681
+0.0442684
+0.0458908
+0.0475579
+0.0806162
+0.0788446
+0.0770945
+0.0753675
+0.0736651
+0.0719892
+0.0703415
+0.0687242
+0.0671394
+0.0655895
+0.064077
+0.0626027
+0.0611614
+0.0597656
+0.0584186
+0.0569388
+0.0553748
+0.0538546
+0.0523818
+0.0509607
+0.0495956
+0.0482914
+0.0470531
+0.045886
+0.0447957
+0.0437879
+0.0428685
+0.0420432
+0.0413177
+0.040697
+0.0401683
+0.0397535
+0.0394562
+0.039279
+0.0392235
+0.0392902
+0.0394786
+0.0397654
+0.0396431
+0.0380262
+0.0363456
+0.0347169
+0.0330423
+0.0313974
+0.0297982
+0.0282615
+0.0268122
+0.0253306
+0.0238601
+0.0225005
+0.0212607
+0.0201648
+0.0192566
+0.0185427
+0.0180304
+0.0177227
+0.0175858
+0.0176845
+0.0180346
+0.0186248
+0.0193729
+0.0191288
+0.0184739
+0.0180429
+0.0178277
+0.0178502
+0.018104
+0.0185692
+0.0192192
+0.0200404
+0.0210259
+0.0216455
+0.0218687
+0.021867
+0.0220133
+0.0221984
+0.0224837
+0.0228746
+0.0234017
+0.0240854
+0.0248328
+0.0256095
+0.0263949
+0.0272804
+0.02814
+0.0290341
+0.0300553
+0.0311478
+0.0322316
+0.0333272
+0.0343999
+0.0355553
+0.0368047
+0.0381348
+0.0395416
+0.0410172
+0.0425545
+0.0441391
+0.0457637
+0.0474338
+0.0794876
+0.0776928
+0.0759187
+0.0741669
+0.0724372
+0.0707321
+0.0690545
+0.0674063
+0.0657898
+0.0642073
+0.0626615
+0.061155
+0.0596873
+0.0582562
+0.0568735
+0.0555428
+0.0540062
+0.0524463
+0.0509328
+0.0494701
+0.0480627
+0.0467157
+0.0454345
+0.0442247
+0.0430923
+0.0420437
+0.0410853
+0.0402234
+0.0394645
+0.0388145
+0.0382635
+0.0378278
+0.0375152
+0.0373288
+0.0372704
+0.0373406
+0.0375388
+0.0378514
+0.0376485
+0.0371211
+0.0353975
+0.0337271
+0.0319675
+0.0302643
+0.0286178
+0.0270314
+0.0255162
+0.0241015
+0.0226627
+0.0212335
+0.0199247
+0.0187509
+0.0177707
+0.0169969
+0.0164515
+0.0161621
+0.0160383
+0.0161445
+0.0165272
+0.0171471
+0.0179736
+0.0182832
+0.0176701
+0.017219
+0.016994
+0.0170176
+0.0172836
+0.0177703
+0.0184485
+0.0193025
+0.0203238
+0.0212719
+0.0214557
+0.0216063
+0.0216949
+0.0219478
+0.0222441
+0.0226618
+0.023217
+0.0238676
+0.0246588
+0.0254043
+0.0261958
+0.0270631
+0.0279256
+0.028837
+0.029862
+0.0309571
+0.0320688
+0.0332295
+0.034357
+0.0355292
+0.0367783
+0.0381094
+0.0395171
+0.0409936
+0.0425295
+0.0441047
+0.0457304
+0.0474017
+0.0784003
+0.07658
+0.0747796
+0.0730005
+0.0712443
+0.0695128
+0.0678079
+0.0661316
+0.0644861
+0.0628711
+0.0612915
+0.0597506
+0.0582509
+0.0567847
+0.0553652
+0.0539973
+0.052685
+0.0510923
+0.0495383
+0.0480332
+0.0465824
+0.0451913
+0.0438655
+0.0426112
+0.0414348
+0.0403432
+0.0393433
+0.0384424
+0.0376476
+0.0369657
+0.0363867
+0.0359283
+0.035599
+0.0354025
+0.0353409
+0.0354149
+0.0356238
+0.0359274
+0.0356768
+0.0355592
+0.0345553
+0.0328095
+0.0310063
+0.0292515
+0.027551
+0.0259033
+0.0243402
+0.0228578
+0.0214775
+0.0201092
+0.0187414
+0.0174978
+0.016443
+0.0156036
+0.0150177
+0.0147197
+0.0146239
+0.0147697
+0.0151824
+0.0158354
+0.0167178
+0.0176612
+0.0170824
+0.0166445
+0.0164123
+0.0164367
+0.016712
+0.0172149
+0.0179141
+0.0187924
+0.0198028
+0.0206772
+0.0207401
+0.0206184
+0.0207113
+0.0210063
+0.0215214
+0.0222412
+0.023128
+0.0238497
+0.0246672
+0.0253673
+0.0261682
+0.0270128
+0.0278768
+0.0287969
+0.0298163
+0.030913
+0.0320552
+0.0332165
+0.0344125
+0.0356214
+0.0368674
+0.0381953
+0.0396
+0.0410735
+0.0426065
+0.0441789
+0.0458021
+0.0474708
+0.0773599
+0.0755145
+0.073688
+0.0718819
+0.0700977
+0.0683372
+0.0666021
+0.0648947
+0.0632171
+0.0615717
+0.0599612
+0.0583884
+0.0568566
+0.0553607
+0.0539038
+0.0524978
+0.0511471
+0.0497813
+0.0481914
+0.0466471
+0.0451562
+0.043723
+0.0423519
+0.0410513
+0.0398289
+0.0386919
+0.0376483
+0.0367058
+0.0358725
+0.0351562
+0.0345469
+0.0340637
+0.0337162
+0.0335086
+0.0334435
+0.0335218
+0.0337424
+0.0339971
+0.0337321
+0.0336082
+0.03361
+0.0319554
+0.0301326
+0.0283594
+0.0266145
+0.0249098
+0.0232816
+0.0217508
+0.0203092
+0.0189964
+0.0177076
+0.0164214
+0.0152925
+0.01441
+0.0137818
+0.0134587
+0.0134123
+0.0135754
+0.0140269
+0.014733
+0.015669
+0.0168067
+0.0167367
+0.0163026
+0.0161099
+0.0161348
+0.0164151
+0.0169268
+0.0176375
+0.0184901
+0.0195054
+0.0199787
+0.0199509
+0.0198244
+0.0199209
+0.0202275
+0.0207619
+0.021487
+0.0223816
+0.0234474
+0.024656
+0.0255025
+0.0262992
+0.0271397
+0.0279999
+0.028914
+0.0299314
+0.0310239
+0.032163
+0.0333278
+0.0345412
+0.0358153
+0.0370858
+0.0384062
+0.0398034
+0.0412697
+0.0427957
+0.0443614
+0.0459781
+0.0476407
+0.0763681
+0.0744981
+0.0726461
+0.0708134
+0.0690016
+0.0672123
+0.0654475
+0.0637091
+0.0619994
+0.0603208
+0.058676
+0.0570679
+0.0554996
+0.0539748
+0.0524931
+0.0510483
+0.0496581
+0.0483273
+0.0469005
+0.0453155
+0.04378
+0.0423014
+0.0408868
+0.0395431
+0.0382776
+0.0370963
+0.0360067
+0.0350201
+0.0341457
+0.0333923
+0.0327471
+0.0322369
+0.0318695
+0.0316498
+0.0315809
+0.0316638
+0.0318973
+0.0321002
+0.0318195
+0.0316881
+0.0317019
+0.0311911
+0.0293397
+0.0275371
+0.0257774
+0.0240527
+0.022382
+0.020785
+0.0193048
+0.0179344
+0.0167225
+0.0155542
+0.0143826
+0.0134409
+0.012795
+0.0124463
+0.0124058
+0.0126251
+0.0131192
+0.0138695
+0.0148711
+0.0159188
+0.0164993
+0.0162382
+0.0160518
+0.0161274
+0.0164079
+0.0169198
+0.0175915
+0.0184334
+0.0194125
+0.0195025
+0.0193784
+0.0192481
+0.0193367
+0.0196523
+0.0201911
+0.0209123
+0.0218304
+0.0229218
+0.0241568
+0.0255001
+0.0266106
+0.0274416
+0.0282926
+0.0291954
+0.0302054
+0.0312883
+0.0324159
+0.0335742
+0.0348054
+0.0360729
+0.0374164
+0.0387306
+0.0401165
+0.0415717
+0.0430892
+0.0446507
+0.0462573
+0.0479102
+0.0754269
+0.073533
+0.071656
+0.0697973
+0.0679584
+0.066141
+0.0643468
+0.0625778
+0.0608363
+0.0591247
+0.0574457
+0.0558021
+0.0541972
+0.0526346
+0.0511141
+0.0496413
+0.0482228
+0.0468512
+0.0455438
+0.0440492
+0.0424708
+0.0409465
+0.0394834
+0.0380901
+0.0367747
+0.0355457
+0.0344124
+0.0333845
+0.0324719
+0.0316733
+0.0309911
+0.0304515
+0.0300623
+0.0298293
+0.0297562
+0.0298441
+0.0300917
+0.0302342
+0.029945
+0.0298053
+0.0298257
+0.029977
+0.028669
+0.0268223
+0.0250312
+0.0233085
+0.02163
+0.0200027
+0.0184715
+0.017072
+0.015812
+0.0147518
+0.0137468
+0.0127583
+0.01209
+0.0117245
+0.0117165
+0.0119531
+0.0124654
+0.0132527
+0.0142734
+0.0148207
+0.0154561
+0.0160811
+0.0162839
+0.0163935
+0.0166815
+0.0171934
+0.0178035
+0.0186017
+0.0191275
+0.0192651
+0.0190151
+0.0188791
+0.0189509
+0.0192729
+0.0198219
+0.0205561
+0.0214895
+0.0225973
+0.0238491
+0.0252089
+0.0266794
+0.0279112
+0.0287496
+0.0296364
+0.0306339
+0.0317021
+0.0328004
+0.0339604
+0.0351958
+0.0364579
+0.0377879
+0.0391543
+0.0405318
+0.0419727
+0.0434762
+0.0450337
+0.0466319
+0.0482766
+0.0745382
+0.0726211
+0.07072
+0.068836
+0.0669707
+0.0651257
+0.0633027
+0.0615038
+0.059731
+0.0579867
+0.0562737
+0.0545949
+0.0529535
+0.0513531
+0.0497934
+0.0482803
+0.0468208
+0.04542
+0.0440833
+0.0428035
+0.0412335
+0.039664
+0.0381542
+0.0367105
+0.0353438
+0.0340631
+0.0328788
+0.0318014
+0.0308421
+0.0300125
+0.0292937
+0.0287223
+0.0283093
+0.0280618
+0.027984
+0.0280775
+0.0283406
+0.0284047
+0.0281162
+0.0279674
+0.0279883
+0.0281488
+0.0281365
+0.0262682
+0.0244388
+0.0226711
+0.0209833
+0.0193924
+0.0178388
+0.0164018
+0.0151287
+0.014033
+0.0131955
+0.0124048
+0.0117165
+0.0113391
+0.0113399
+0.0115481
+0.0120529
+0.0126998
+0.0134233
+0.0139807
+0.0146601
+0.0153157
+0.0162139
+0.0169071
+0.0171403
+0.0174764
+0.0179725
+0.0185624
+0.0190821
+0.0191606
+0.0188786
+0.0187416
+0.0188139
+0.0191382
+0.019691
+0.0204299
+0.0213688
+0.0224826
+0.0237297
+0.0250935
+0.0265683
+0.0281362
+0.0293476
+0.0302146
+0.0311908
+0.0322358
+0.0333248
+0.0344817
+0.0356989
+0.036952
+0.0382728
+0.0396507
+0.041048
+0.0424829
+0.043969
+0.0455097
+0.0470917
+0.0487209
+0.0737039
+0.0717646
+0.0698401
+0.0679318
+0.066041
+0.0641692
+0.0623183
+0.06049
+0.0586866
+0.0569104
+0.0551639
+0.0534503
+0.0517726
+0.0501345
+0.0485357
+0.046982
+0.0454809
+0.0440376
+0.042658
+0.0413485
+0.0400778
+0.0384613
+0.036904
+0.0354128
+0.0339939
+0.0326604
+0.0314232
+0.030294
+0.0292855
+0.0284104
+0.0276648
+0.027059
+0.0266202
+0.0263568
+0.026274
+0.0263736
+0.0266457
+0.0266257
+0.0263218
+0.0261791
+0.026203
+0.0263758
+0.0267259
+0.0258319
+0.0239898
+0.0222023
+0.0204933
+0.0188815
+0.017379
+0.015965
+0.014654
+0.0135718
+0.0127215
+0.0121867
+0.0116676
+0.0113634
+0.0112486
+0.0113573
+0.0116921
+0.0123579
+0.0128136
+0.0134202
+0.0141593
+0.0148371
+0.0157331
+0.0167102
+0.017215
+0.0175497
+0.0181242
+0.0187445
+0.0192449
+0.0192758
+0.0189954
+0.0188594
+0.0189312
+0.0192535
+0.0198016
+0.0205365
+0.0214708
+0.0225538
+0.0237837
+0.0251447
+0.0266166
+0.0281818
+0.0298194
+0.0309247
+0.0318791
+0.0329022
+0.0339826
+0.0351321
+0.0363204
+0.0375595
+0.0388597
+0.0402282
+0.0416535
+0.0430795
+0.044561
+0.0460842
+0.0476479
+0.0492587
+0.072926
+0.0709654
+0.0690186
+0.0670869
+0.0651716
+0.0632741
+0.0613962
+0.0595396
+0.0577065
+0.0558992
+0.0541201
+0.0523723
+0.0506589
+0.0489836
+0.0473459
+0.0457519
+0.044209
+0.0427228
+0.0412993
+0.0399453
+0.038668
+0.0373484
+0.0357426
+0.0342017
+0.0327304
+0.0313432
+0.0300518
+0.0288691
+0.0278089
+0.0268858
+0.0260963
+0.0254532
+0.0249862
+0.0247054
+0.0246171
+0.0247233
+0.0250125
+0.024909
+0.0245839
+0.0244389
+0.0244645
+0.0246701
+0.025044
+0.0254203
+0.0236172
+0.021842
+0.0201196
+0.0184778
+0.0169605
+0.0155726
+0.0143758
+0.0134035
+0.0125979
+0.0120807
+0.0118997
+0.0115719
+0.0112833
+0.0113208
+0.0116907
+0.0122231
+0.0125615
+0.0131797
+0.0139649
+0.0146457
+0.0155284
+0.0165176
+0.0174908
+0.0178532
+0.0182866
+0.018846
+0.0192863
+0.0194276
+0.0193424
+0.0191933
+0.0192637
+0.0195805
+0.0201065
+0.0208307
+0.0217522
+0.022822
+0.0240381
+0.0253854
+0.0268441
+0.0283969
+0.0300227
+0.0317166
+0.0327
+0.0336982
+0.0347579
+0.0358877
+0.0370583
+0.0382829
+0.0395594
+0.0409054
+0.0423079
+0.0437621
+0.0452266
+0.0467353
+0.0482893
+0.0498869
+0.0722061
+0.0702254
+0.0682575
+0.0663037
+0.064365
+0.0624431
+0.0605394
+0.0586557
+0.0567941
+0.0549567
+0.0531461
+0.0513652
+0.049617
+0.0479053
+0.0462294
+0.0445955
+0.0430112
+0.041482
+0.0400144
+0.0386154
+0.0372926
+0.0360545
+0.0346809
+0.0330906
+0.0315675
+0.0301268
+0.0287809
+0.0275437
+0.0264304
+0.0254573
+0.0246221
+0.0239394
+0.0234423
+0.0231427
+0.0230484
+0.0231619
+0.0234703
+0.023272
+0.0229237
+0.0227766
+0.0228041
+0.0230408
+0.0234463
+0.02404
+0.0232857
+0.021526
+0.019832
+0.0182291
+0.016706
+0.015327
+0.0141288
+0.0131449
+0.0124377
+0.0119962
+0.0117177
+0.0116147
+0.0116037
+0.0117017
+0.011976
+0.0122779
+0.0126567
+0.0133006
+0.0140791
+0.0147546
+0.0156312
+0.0166143
+0.0176221
+0.0180457
+0.0184746
+0.0190589
+0.019417
+0.0195574
+0.0194609
+0.019379
+0.0195149
+0.0198745
+0.0204636
+0.0212341
+0.0221904
+0.0232939
+0.0244867
+0.0258106
+0.0272465
+0.0287776
+0.030383
+0.0320578
+0.0336437
+0.0346147
+0.0356472
+0.0367496
+0.0378981
+0.0391153
+0.0403659
+0.041686
+0.043063
+0.0445053
+0.0459818
+0.0474787
+0.0490091
+0.0505881
+0.0715461
+0.0695466
+0.067559
+0.0655843
+0.0636237
+0.0616787
+0.0597506
+0.0578413
+0.0559526
+0.0540866
+0.0522459
+0.0504332
+0.0486515
+0.0469045
+0.0451916
+0.0435188
+0.0418937
+0.0403222
+0.0388108
+0.0373667
+0.0359981
+0.0347139
+0.0335237
+0.032078
+0.0305045
+0.0290112
+0.0276111
+0.0263191
+0.0251518
+0.0241274
+0.0232572
+0.0225333
+0.0220044
+0.021685
+0.0215843
+0.0217054
+0.0220313
+0.0217328
+0.0213594
+0.0212068
+0.02124
+0.0214939
+0.0219512
+0.0225842
+0.0231093
+0.0213471
+0.0196593
+0.0180519
+0.0165743
+0.0152294
+0.0140488
+0.0130727
+0.012358
+0.0118473
+0.0115957
+0.0115628
+0.0116843
+0.011978
+0.0123494
+0.0127156
+0.0130818
+0.013729
+0.0145209
+0.0151821
+0.0160353
+0.0169577
+0.017782
+0.0184975
+0.0189162
+0.0195124
+0.0197497
+0.0198877
+0.0196458
+0.0195647
+0.0196993
+0.0200556
+0.020617
+0.0213851
+0.0223254
+0.0234334
+0.0246864
+0.0260602
+0.0275106
+0.0290538
+0.0306759
+0.032365
+0.0341112
+0.0356424
+0.036646
+0.0377192
+0.0388391
+0.0400276
+0.0412726
+0.042565
+0.0439145
+0.0453297
+0.0468047
+0.0482983
+0.0498149
+0.0513692
+0.0709476
+0.0689308
+0.0669248
+0.0649309
+0.06295
+0.0609834
+0.0590327
+0.0570993
+0.0551852
+0.0532924
+0.0514233
+0.0495805
+0.047767
+0.0459865
+0.044238
+0.0425277
+0.0408632
+0.0392505
+0.0376961
+0.0362076
+0.0347934
+0.033463
+0.0322267
+0.0310958
+0.0295515
+0.0280074
+0.0265544
+0.0252083
+0.0239871
+0.0229107
+0.0220004
+0.0212549
+0.0206934
+0.0203535
+0.0202462
+0.0203752
+0.0207105
+0.0203135
+0.0199135
+0.0197498
+0.0197936
+0.0200658
+0.0205659
+0.0212406
+0.0221122
+0.0213498
+0.0196649
+0.0180553
+0.0165794
+0.0152517
+0.0140816
+0.0131649
+0.0124982
+0.0120532
+0.0118383
+0.0118846
+0.0120704
+0.0124631
+0.0130484
+0.0133929
+0.0138446
+0.0144577
+0.0152292
+0.0159027
+0.0167191
+0.0175092
+0.0181981
+0.0189748
+0.0195854
+0.0199421
+0.0201172
+0.0203257
+0.0200695
+0.0199738
+0.0200878
+0.020429
+0.020977
+0.0217323
+0.0226582
+0.0237507
+0.0249878
+0.0263459
+0.0277814
+0.0293103
+0.0309189
+0.0325954
+0.03433
+0.0361141
+0.0377456
+0.0387885
+0.0398783
+0.0410368
+0.042252
+0.0435367
+0.044857
+0.0462433
+0.0476901
+0.0491919
+0.0506951
+0.0522305
+0.0704108
+0.0683781
+0.0663555
+0.0643439
+0.0623444
+0.0603581
+0.0583864
+0.056431
+0.0544934
+0.0525757
+0.0506801
+0.0488092
+0.046966
+0.0451539
+0.0433742
+0.0416284
+0.0399265
+0.0382743
+0.0366785
+0.035147
+0.0336883
+0.0323124
+0.0310303
+0.0298541
+0.0287342
+0.0271437
+0.0256418
+0.0242451
+0.0229727
+0.0218463
+0.0208897
+0.0201173
+0.0195232
+0.0191624
+0.0190484
+0.0191855
+0.0195453
+0.0190158
+0.0185878
+0.0184124
+0.0184856
+0.0187767
+0.0193136
+0.0200368
+0.020943
+0.0215517
+0.019882
+0.0182953
+0.0168321
+0.0155254
+0.0143901
+0.0134944
+0.0128811
+0.012507
+0.0123792
+0.0124839
+0.0127607
+0.0128705
+0.0131527
+0.0136979
+0.0142347
+0.0148783
+0.0155823
+0.016346
+0.0172175
+0.0180897
+0.0187764
+0.0194038
+0.0198968
+0.0203217
+0.0204936
+0.0208949
+0.0206809
+0.0205589
+0.0206696
+0.0210095
+0.0215546
+0.0222903
+0.023194
+0.0242623
+0.0254697
+0.0267835
+0.0282063
+0.0297225
+0.0313137
+0.0329702
+0.0346859
+0.0364526
+0.0382632
+0.0399493
+0.0410083
+0.0421357
+0.0433202
+0.0445772
+0.0458847
+0.047241
+0.0486581
+0.0501309
+0.0516427
+0.053161
+0.0699288
+0.0678821
+0.0658447
+0.063817
+0.0618004
+0.0597961
+0.0578053
+0.0558295
+0.0538703
+0.0519295
+0.0500095
+0.0481126
+0.0462416
+0.0443999
+0.0425913
+0.0408201
+0.0390902
+0.037401
+0.0357664
+0.034194
+0.0326928
+0.0312731
+0.0299466
+0.028726
+0.0276181
+0.0264096
+0.0248633
+0.02342
+0.0220999
+0.0209265
+0.0199255
+0.0191241
+0.0185163
+0.0181356
+0.0180151
+0.01816
+0.0185414
+0.0178787
+0.0174229
+0.0172356
+0.0173254
+0.0176581
+0.0182279
+0.0189929
+0.0199163
+0.0210025
+0.020316
+0.0187663
+0.0173429
+0.0160777
+0.0149957
+0.0141384
+0.0135723
+0.0132567
+0.0131883
+0.0132732
+0.0132848
+0.0132545
+0.0135286
+0.0141265
+0.0147575
+0.0154624
+0.0160503
+0.0166911
+0.0173327
+0.0181267
+0.0185624
+0.0192162
+0.0200888
+0.0207201
+0.0210296
+0.0214209
+0.0214572
+0.0213537
+0.0214603
+0.0217879
+0.0223119
+0.0230071
+0.0238836
+0.0249224
+0.0260965
+0.02738
+0.0287733
+0.0302612
+0.0318304
+0.0334694
+0.0351686
+0.0369183
+0.0387071
+0.0405354
+0.0422116
+0.0433177
+0.0444706
+0.045696
+0.0469754
+0.0483174
+0.0497038
+0.0511465
+0.0526362
+0.054154
+0.0694754
+0.0674511
+0.0654003
+0.0633588
+0.0613276
+0.0593078
+0.0573005
+0.0553071
+0.0533293
+0.0513687
+0.0494269
+0.0475068
+0.0456109
+0.0437427
+0.0419057
+0.0401043
+0.0383433
+0.0366288
+0.0349675
+0.0333578
+0.0318172
+0.0303566
+0.0289881
+0.0277254
+0.0265758
+0.0255472
+0.0242423
+0.0227596
+0.0213989
+0.0201847
+0.019145
+0.0183095
+0.0176743
+0.017275
+0.0171484
+0.0173006
+0.0176515
+0.0169498
+0.0164683
+0.01627
+0.0163652
+0.016717
+0.0173178
+0.0181212
+0.0190869
+0.0202176
+0.0209711
+0.0194738
+0.0180988
+0.0168892
+0.0158722
+0.0150648
+0.0145348
+0.0142697
+0.0142412
+0.0139776
+0.0138707
+0.0139658
+0.0142356
+0.0148049
+0.0152459
+0.0156498
+0.0161414
+0.0167784
+0.0174168
+0.0179515
+0.0183907
+0.0190504
+0.0199303
+0.0209929
+0.0217727
+0.0220486
+0.0222822
+0.0223147
+0.0224168
+0.0227305
+0.0232321
+0.0239005
+0.0247454
+0.0257495
+0.0268875
+0.0281349
+0.0294926
+0.0309459
+0.032482
+0.0340897
+0.0357595
+0.0374829
+0.039253
+0.0410636
+0.0429097
+0.044573
+0.0456972
+0.0468906
+0.0481382
+0.0494514
+0.0508225
+0.0522343
+0.0536938
+0.055195
+0.0688412
+0.0668567
+0.0648855
+0.0629288
+0.060929
+0.0588955
+0.0568737
+0.0548649
+0.0528705
+0.0508922
+0.048932
+0.0469922
+0.0450754
+0.0431847
+0.0413236
+0.0394963
+0.0377078
+0.0359631
+0.0342695
+0.0326352
+0.0310694
+0.0295743
+0.0281678
+0.0268595
+0.0256562
+0.0245897
+0.0236782
+0.0222959
+0.0209049
+0.0196603
+0.0185913
+0.0177297
+0.017072
+0.0166583
+0.016527
+0.0166848
+0.0169549
+0.0162369
+0.0157624
+0.015555
+0.0156545
+0.0160219
+0.0166479
+0.0174822
+0.0184812
+0.0196468
+0.0209608
+0.0203784
+0.019062
+0.0179176
+0.0169798
+0.0162358
+0.015739
+0.0154945
+0.0150023
+0.0145915
+0.0144892
+0.014716
+0.0150183
+0.0152382
+0.0154846
+0.0160179
+0.0165247
+0.0171475
+0.0176784
+0.0180364
+0.0184678
+0.0191292
+0.0200038
+0.0210679
+0.0222601
+0.022766
+0.0229286
+0.0232618
+0.0235376
+0.0238366
+0.0243154
+0.0249548
+0.0257651
+0.0267309
+0.0278288
+0.0290358
+0.0303532
+0.0317672
+0.0332654
+0.034837
+0.0364726
+0.0381638
+0.0399036
+0.041686
+0.0435057
+0.0453582
+0.046994
+0.0481552
+0.0493709
+0.0506522
+0.0519942
+0.0533898
+0.0548186
+0.0562898
+0.0682713
+0.0662698
+0.0642806
+0.0623049
+0.0603441
+0.0583996
+0.0564731
+0.0545071
+0.0524991
+0.0505063
+0.0485305
+0.046574
+0.0446393
+0.0427292
+0.0408474
+0.0389978
+0.0371853
+0.0354156
+0.0336953
+0.0320326
+0.0304368
+0.028919
+0.0274788
+0.0261208
+0.0248818
+0.0237806
+0.0228369
+0.0220368
+0.0206285
+0.0193654
+0.0182617
+0.0173655
+0.0167102
+0.0163019
+0.0161678
+0.0163291
+0.0165063
+0.0157679
+0.0153099
+0.0151228
+0.0152251
+0.015606
+0.0162479
+0.0170993
+0.0181218
+0.0193091
+0.0206446
+0.0214633
+0.0202177
+0.0191425
+0.0182678
+0.0175912
+0.0169509
+0.0162882
+0.0158269
+0.015488
+0.0152173
+0.0152518
+0.0153191
+0.0155934
+0.015831
+0.0163369
+0.0170822
+0.0175866
+0.0180257
+0.0183383
+0.0187628
+0.0194141
+0.0202765
+0.0213298
+0.0225448
+0.0236033
+0.0237602
+0.0240819
+0.0245942
+0.0250856
+0.0255386
+0.0261481
+0.0269226
+0.0278483
+0.0289058
+0.0300697
+0.0313436
+0.0327148
+0.0341715
+0.0357032
+0.0373008
+0.0389561
+0.0406621
+0.0424126
+0.0442024
+0.0460269
+0.0478821
+0.0494845
+0.0506683
+0.0519176
+0.0532277
+0.0545944
+0.0560066
+0.0574474
+0.0677676
+0.0657507
+0.0637453
+0.0617525
+0.0597735
+0.0578099
+0.0558631
+0.053935
+0.0520277
+0.0501436
+0.0482254
+0.0462559
+0.0443073
+0.0423823
+0.0404843
+0.0386173
+0.0367861
+0.0349962
+0.0332543
+0.0315683
+0.0299478
+0.0284038
+0.0269359
+0.0255491
+0.024281
+0.0231512
+0.0221807
+0.0213913
+0.020542
+0.0192733
+0.0181641
+0.0172628
+0.0166034
+0.0161925
+0.0160574
+0.0162198
+0.0163416
+0.0155954
+0.0151322
+0.0149432
+0.0150468
+0.0154361
+0.0160849
+0.0169403
+0.017996
+0.0192168
+0.0205582
+0.0220362
+0.0215347
+0.0205286
+0.0196582
+0.0186002
+0.0176662
+0.01691
+0.0164092
+0.016095
+0.0158274
+0.0158587
+0.0159184
+0.0161824
+0.0164118
+0.0169002
+0.0176217
+0.0182134
+0.0185882
+0.0188911
+0.0193034
+0.0199371
+0.0207778
+0.0218069
+0.0229992
+0.024089
+0.0247406
+0.0250497
+0.0255234
+0.0261567
+0.0268649
+0.027445
+0.0281838
+0.0290694
+0.0300886
+0.0312232
+0.0324519
+0.0337781
+0.0351908
+0.03668
+0.0382368
+0.0398533
+0.0415224
+0.0432381
+0.0449951
+0.0467886
+0.0486148
+0.0504699
+0.0520257
+0.0532431
+0.0545214
+0.0558564
+0.0572442
+0.0586639
+0.0673313
+0.065301
+0.0632813
+0.0612734
+0.0592785
+0.0572979
+0.0553331
+0.0533859
+0.0514582
+0.0495524
+0.0476712
+0.0458169
+0.0439831
+0.0421465
+0.0402374
+0.0383584
+0.0365142
+0.0347102
+0.0329532
+0.031251
+0.0296131
+0.0280508
+0.0265632
+0.0251558
+0.0238668
+0.0227164
+0.0217265
+0.02092
+0.0203187
+0.0194294
+0.0183296
+0.0174369
+0.0167844
+0.0163779
+0.0162444
+0.0164049
+0.0164523
+0.0157196
+0.0152601
+0.0150827
+0.0151853
+0.0155712
+0.0162145
+0.0170635
+0.018112
+0.019328
+0.020675
+0.0221482
+0.0226334
+0.0214826
+0.0204448
+0.0193498
+0.0184014
+0.0176752
+0.0171991
+0.016952
+0.0166981
+0.0167245
+0.0167457
+0.0169985
+0.0172197
+0.017694
+0.0183844
+0.0190365
+0.0193833
+0.0196716
+0.0200699
+0.0206801
+0.0214917
+0.0224882
+0.0236462
+0.0247078
+0.0257786
+0.0261517
+0.026601
+0.0272092
+0.0279762
+0.0288501
+0.0295538
+0.0303995
+0.0313756
+0.0324703
+0.0336664
+0.0349465
+0.0363138
+0.0377588
+0.0392728
+0.0408483
+0.0424783
+0.0441569
+0.0458787
+0.047639
+0.0494338
+0.0512593
+0.0531124
+0.0546244
+0.0558711
+0.0571746
+0.0585311
+0.0599358
+0.0669639
+0.0649221
+0.0628903
+0.0608695
+0.0588609
+0.0568657
+0.0548854
+0.0529218
+0.0509766
+0.0490521
+0.0471509
+0.0452752
+0.0434187
+0.0415938
+0.0398058
+0.0380599
+0.036359
+0.034561
+0.032796
+0.0310852
+0.0294381
+0.027866
+0.0263612
+0.024947
+0.0236492
+0.0224876
+0.0214872
+0.0206714
+0.0200626
+0.0196802
+0.0187514
+0.0178797
+0.0172439
+0.0168378
+0.0167079
+0.016864
+0.0168065
+0.0160945
+0.0156461
+0.0154884
+0.0155884
+0.0159554
+0.0165838
+0.0174471
+0.0184886
+0.0196814
+0.0210062
+0.0224576
+0.0235745
+0.0224578
+0.0213505
+0.0202602
+0.0193565
+0.0186674
+0.0182173
+0.018024
+0.0177925
+0.0177699
+0.0177898
+0.018028
+0.0182367
+0.0186853
+0.0193403
+0.0200077
+0.0203838
+0.0206482
+0.0210375
+0.0216204
+0.022398
+0.0233558
+0.0244728
+0.0255001
+0.0265389
+0.027385
+0.0278097
+0.028392
+0.0291279
+0.030006
+0.0310142
+0.031825
+0.0327586
+0.0338086
+0.0349645
+0.0362099
+0.0375312
+0.038931
+0.0404012
+0.0419343
+0.0435237
+0.0451634
+0.0468482
+0.0485734
+0.0503348
+0.0521288
+0.0539521
+0.0558018
+0.0572728
+0.0585451
+0.0598705
+0.0608946
+0.0666666
+0.0646153
+0.0625736
+0.0605422
+0.0585224
+0.0565152
+0.0545222
+0.052545
+0.0505839
+0.0486389
+0.046715
+0.0448157
+0.0429442
+0.0411042
+0.0392942
+0.0375155
+0.0357824
+0.0341021
+0.0324826
+0.0309336
+0.0294255
+0.0278292
+0.0263117
+0.0248947
+0.0235963
+0.022437
+0.021437
+0.0206186
+0.0200077
+0.0196237
+0.0194126
+0.0185721
+0.0179344
+0.017541
+0.0174164
+0.0175662
+0.0173921
+0.0167238
+0.0162927
+0.0161207
+0.0162167
+0.0166033
+0.0172108
+0.0180543
+0.0190724
+0.0202668
+0.021556
+0.0229727
+0.0245037
+0.0235573
+0.0223942
+0.021357
+0.0205018
+0.0198519
+0.0194187
+0.0192238
+0.0190324
+0.0190112
+0.0190299
+0.0192528
+0.0194483
+0.0198695
+0.0204867
+0.0211351
+0.0215613
+0.0217962
+0.0221784
+0.0227336
+0.0234743
+0.0243899
+0.0254616
+0.0264505
+0.0274533
+0.0285572
+0.0291332
+0.0296896
+0.0303941
+0.0312366
+0.0322063
+0.0332707
+0.034226
+0.0352323
+0.036343
+0.0375487
+0.0388341
+0.0401886
+0.0416143
+0.0431043
+0.044652
+0.0462518
+0.0478984
+0.049587
+0.0513137
+0.0530746
+0.0548664
+0.0566863
+0.0584837
+0.059121
+0.0598317
+0.0606134
+0.0664401
+0.0643817
+0.0623323
+0.0602928
+0.0582641
+0.056245
+0.0542371
+0.0522439
+0.0502671
+0.0483088
+0.0463713
+0.0444573
+0.04257
+0.0407131
+0.038885
+0.0370866
+0.0353325
+0.0336297
+0.0319863
+0.030412
+0.0289181
+0.0275176
+0.0262255
+0.0250347
+0.023744
+0.0225923
+0.0215994
+0.0207875
+0.0201817
+0.019801
+0.0196216
+0.0194672
+0.0188525
+0.0184787
+0.0183604
+0.0185026
+0.0182185
+0.017577
+0.0171673
+0.0169918
+0.0170829
+0.0174508
+0.018041
+0.0188553
+0.0198724
+0.0208944
+0.0219218
+0.023111
+0.0244108
+0.0247017
+0.0235647
+0.0225809
+0.0217738
+0.021157
+0.0207482
+0.0205659
+0.0204325
+0.0204128
+0.0204299
+0.0206102
+0.020793
+0.0211931
+0.0217728
+0.0224042
+0.0228691
+0.0230692
+0.0234324
+0.0239839
+0.0246872
+0.0255594
+0.0265839
+0.0275427
+0.0285071
+0.0295718
+0.0305566
+0.0310875
+0.031761
+0.0325682
+0.0334994
+0.0345243
+0.0356482
+0.0367316
+0.0377983
+0.038959
+0.0402056
+0.0415237
+0.0429051
+0.0443517
+0.0458574
+0.0474165
+0.049024
+0.0506751
+0.0523659
+0.0540926
+0.0558518
+0.0576406
+0.0582732
+0.0589128
+0.059626
+0.0604103
+0.0662854
+0.0642211
+0.0621627
+0.060113
+0.0580736
+0.0560456
+0.0540303
+0.0520291
+0.0500439
+0.0480765
+0.0461292
+0.0442048
+0.0423062
+0.0404372
+0.0385959
+0.0367833
+0.0350141
+0.033295
+0.0316342
+0.0300415
+0.0285281
+0.0271075
+0.0257949
+0.0246077
+0.0235647
+0.0226859
+0.0219785
+0.0211814
+0.0205872
+0.0202142
+0.0200399
+0.0200928
+0.0199698
+0.0196172
+0.0195059
+0.0196398
+0.0192537
+0.018625
+0.0182377
+0.0180602
+0.0179325
+0.0178705
+0.0180264
+0.018443
+0.0191033
+0.0199832
+0.0210551
+0.0222906
+0.0236355
+0.0250984
+0.0248704
+0.0239404
+0.0231806
+0.0225969
+0.0222147
+0.0220445
+0.0219623
+0.021944
+0.0219437
+0.0220925
+0.0222632
+0.0226454
+0.023194
+0.0238076
+0.0242839
+0.0244725
+0.0248151
+0.0253366
+0.0260032
+0.0268327
+0.0278104
+0.0287426
+0.029668
+0.0307093
+0.0318506
+0.0325729
+0.0332163
+0.0339889
+0.0348822
+0.0358679
+0.036951
+0.0381293
+0.0393218
+0.0404388
+0.0416411
+0.0429217
+0.0442667
+0.0456702
+0.0471338
+0.048652
+0.0502199
+0.051833
+0.0534872
+0.0551788
+0.0569044
+0.0575667
+0.0581315
+0.0587727
+0.0594541
+0.0602011
+0.0661926
+0.064122
+0.0620597
+0.0600065
+0.0579633
+0.0559313
+0.0539117
+0.051906
+0.0499159
+0.0479432
+0.0459903
+0.0440598
+0.0421547
+0.0402786
+0.0384297
+0.0366089
+0.0348308
+0.0331022
+0.0314312
+0.0298277
+0.0283029
+0.0268704
+0.0255456
+0.0243462
+0.0232915
+0.022402
+0.0216854
+0.0211419
+0.020816
+0.0207178
+0.0206571
+0.0207084
+0.0209895
+0.0209095
+0.0208051
+0.0209307
+0.0199621
+0.0189195
+0.0180834
+0.0174833
+0.0171442
+0.0170794
+0.0172424
+0.0176775
+0.0183654
+0.0192789
+0.0203879
+0.0216615
+0.0230432
+0.0245414
+0.0261376
+0.0254162
+0.0246971
+0.02415
+0.0237927
+0.0236339
+0.0235827
+0.0235656
+0.0235639
+0.023685
+0.0238442
+0.0242015
+0.0247278
+0.0253231
+0.0258073
+0.0259849
+0.0263078
+0.0268002
+0.0274314
+0.0282189
+0.0291501
+0.0300448
+0.0309313
+0.0318994
+0.0325926
+0.0334147
+0.0343462
+0.0353837
+0.0363412
+0.0372919
+0.0383348
+0.0394719
+0.0406952
+0.0419808
+0.0431402
+0.0443775
+0.0456865
+0.0470538
+0.0484756
+0.0499531
+0.0514814
+0.0530562
+0.0546734
+0.0563293
+0.0569519
+0.0574393
+0.0580053
+0.0586027
+0.0592727
+0.0600152
+0.0661685
+0.0640971
+0.0620339
+0.0599798
+0.0579357
+0.0559027
+0.053882
+0.0518752
+0.0498838
+0.0479098
+0.0459555
+0.0440235
+0.0421167
+0.0402389
+0.038388
+0.0365651
+0.0347848
+0.0330538
+0.0313802
+0.0297739
+0.0282462
+0.0268107
+0.0254828
+0.0242803
+0.0232226
+0.0223304
+0.0216115
+0.0210661
+0.020739
+0.0206404
+0.0207737
+0.0211345
+0.0217113
+0.0219807
+0.0212355
+0.0206963
+0.0195047
+0.0184363
+0.0175771
+0.0169592
+0.0166094
+0.0165425
+0.0167107
+0.0171593
+0.0178671
+0.0188049
+0.0199402
+0.0212408
+0.0226481
+0.0241709
+0.02579
+0.0269893
+0.0263087
+0.0257957
+0.0254615
+0.0253132
+0.0252883
+0.0252724
+0.0252703
+0.0253668
+0.0255156
+0.0258498
+0.0263546
+0.0269316
+0.0274213
+0.0275885
+0.0278929
+0.0283578
+0.028955
+0.0297021
+0.0305882
+0.031368
+0.031783
+0.0323409
+0.0330248
+0.0338371
+0.0347685
+0.0358081
+0.0369346
+0.0381537
+0.0394569
+0.0407255
+0.0419196
+0.0431919
+0.0445357
+0.0458918
+0.0471587
+0.0484915
+0.0498776
+0.0513147
+0.0528037
+0.0543401
+0.0559202
+0.0564411
+0.0568216
+0.0572777
+0.0578037
+0.0584008
+0.0590731
+0.0598181
+0.0662168
+0.064147
+0.0620855
+0.0600331
+0.0579909
+0.0559599
+0.0539414
+0.0519368
+0.0499479
+0.0479766
+0.0460251
+0.0440961
+0.0421926
+0.0403183
+0.0384712
+0.0366525
+0.0348766
+0.0331503
+0.031482
+0.0298811
+0.0283592
+0.0269297
+0.0256079
+0.0244079
+0.0233491
+0.0224548
+0.0217452
+0.0212076
+0.0208827
+0.0207848
+0.0209172
+0.0212755
+0.021843
+0.0208905
+0.0201049
+0.0195346
+0.0191988
+0.0182051
+0.0173346
+0.0167076
+0.0163524
+0.0162849
+0.0164559
+0.0169112
+0.017629
+0.0185788
+0.0197271
+0.0210328
+0.0224467
+0.0239777
+0.0256047
+0.0273092
+0.027999
+0.0275176
+0.0272045
+0.0270658
+0.0270638
+0.027049
+0.0270465
+0.0271214
+0.0272606
+0.0275736
+0.0280548
+0.0286175
+0.0291108
+0.0292682
+0.0295554
+0.029927
+0.0303698
+0.0308517
+0.031316
+0.0316095
+0.0320504
+0.0326327
+0.033349
+0.0341909
+0.0351493
+0.0362045
+0.0373466
+0.0385794
+0.0398945
+0.0412564
+0.0424356
+0.0436929
+0.0450217
+0.0464159
+0.0478698
+0.0493781
+0.0509353
+0.0525328
+0.0541716
+0.0556806
+0.0560031
+0.0563168
+0.0566981
+0.0571551
+0.0576823
+0.0582806
+0.0589543
+0.0597008
+0.0663375
+0.0642716
+0.0622142
+0.0601662
+0.0581287
+0.0561026
+0.0540895
+0.0520906
+0.0501078
+0.048143
+0.0461986
+0.0442771
+0.0423818
+0.0405158
+0.0386718
+0.0368633
+0.0350985
+0.0333841
+0.031728
+0.030135
+0.028621
+0.0271993
+0.0258852
+0.0246958
+0.02365
+0.0227675
+0.0220679
+0.0215384
+0.0212186
+0.0211222
+0.0212525
+0.0216053
+0.0209792
+0.0199754
+0.019159
+0.0185597
+0.0182058
+0.018073
+0.0173166
+0.016689
+0.0163334
+0.0162676
+0.0164513
+0.0169067
+0.0176247
+0.0185747
+0.0197233
+0.0210158
+0.0224308
+0.0239628
+0.0255908
+0.0272961
+0.0290654
+0.0293021
+0.0290083
+0.0288782
+0.0288963
+0.0288825
+0.0288798
+0.0289317
+0.0290623
+0.0293561
+0.0291374
+0.0289635
+0.0288915
+0.0289854
+0.0292435
+0.0296616
+0.0300198
+0.0305078
+0.0311178
+0.0316498
+0.0320901
+0.0326717
+0.0333871
+0.0342281
+0.0351855
+0.0362459
+0.0373868
+0.0386183
+0.0399321
+0.0413204
+0.0427758
+0.0442918
+0.0456079
+0.0469847
+0.0484215
+0.0499132
+0.0514549
+0.0530367
+0.0546602
+0.0557303
+0.0559636
+0.0562775
+0.056659
+0.0571164
+0.0576373
+0.0582201
+0.0588788
+0.0596106
+0.0665301
+0.0644704
+0.0624196
+0.0603786
+0.0583484
+0.0563303
+0.0543256
+0.0523357
+0.0503626
+0.0484081
+0.0464748
+0.0445652
+0.042676
+0.0408098
+0.0389775
+0.0371839
+0.0354351
+0.0337378
+0.0321
+0.0305263
+0.0290327
+0.0276322
+0.0263398
+0.0251719
+0.0241466
+0.023283
+0.0225993
+0.0220826
+0.0217707
+0.0216769
+0.0218038
+0.021508
+0.0202949
+0.0192555
+0.018419
+0.0177974
+0.0174282
+0.0172792
+0.0174041
+0.0169531
+0.0166032
+0.0165385
+0.0167191
+0.0171675
+0.017875
+0.0188124
+0.0199473
+0.0212262
+0.022628
+0.0241475
+0.0257638
+0.0274584
+0.0292179
+0.0310323
+0.0308622
+0.0307399
+0.030757
+0.0307628
+0.0307298
+0.0299865
+0.0293633
+0.0288932
+0.0285837
+0.0284401
+0.0284648
+0.028647
+0.0289723
+0.0294574
+0.0298271
+0.0303181
+0.0309319
+0.0315981
+0.0321071
+0.032755
+0.0335338
+0.0343847
+0.0353379
+0.0363981
+0.0375549
+0.0387811
+0.0400896
+0.0414726
+0.0429229
+0.0444338
+0.0459996
+0.0476146
+0.0490649
+0.0505376
+0.0520608
+0.0536247
+0.0552309
+0.0557626
+0.0560029
+0.0562792
+0.0566222
+0.0570474
+0.0575529
+0.0581366
+0.0587961
+0.0595214
+0.0667941
+0.0647428
+0.0627008
+0.0606693
+0.0586492
+0.0566418
+0.0546485
+0.0526709
+0.0507108
+0.0487703
+0.0468501
+0.0449441
+0.0430648
+0.0412163
+0.0394028
+0.0376295
+0.0359024
+0.0342283
+0.0326151
+0.0310675
+0.0296013
+0.028229
+0.0269651
+0.0258255
+0.0248273
+0.0239882
+0.0233252
+0.022825
+0.0225234
+0.0224326
+0.0223994
+0.0210379
+0.0198207
+0.0187365
+0.0178565
+0.0172118
+0.0168297
+0.0167235
+0.0168524
+0.0172607
+0.0171508
+0.0170881
+0.017263
+0.0176976
+0.0183847
+0.0192974
+0.0204053
+0.0216572
+0.0230328
+0.0245272
+0.0261201
+0.0277929
+0.0295325
+0.0313287
+0.0327577
+0.0326425
+0.0322524
+0.0312456
+0.0303638
+0.0296113
+0.0289801
+0.0285037
+0.0281899
+0.0280442
+0.0280693
+0.028254
+0.0285839
+0.0290754
+0.0297127
+0.0302861
+0.0308559
+0.0314798
+0.0321059
+0.0327538
+0.0335326
+0.0344333
+0.0354467
+0.0365635
+0.0377676
+0.0390489
+0.0403532
+0.0417317
+0.0431774
+0.0446829
+0.0462402
+0.0478471
+0.0494989
+0.0511894
+0.0527508
+0.0542949
+0.055656
+0.0558118
+0.0560025
+0.0562539
+0.0565807
+0.0569899
+0.0574797
+0.0580481
+0.0586929
+0.0594114
+0.0671286
+0.0650878
+0.063057
+0.0610373
+0.0590299
+0.0570359
+0.0550568
+0.0530944
+0.0511505
+0.0492188
+0.0473064
+0.0454192
+0.0435604
+0.0417338
+0.0399439
+0.0381958
+0.0364954
+0.0348498
+0.0332668
+0.031751
+0.0303178
+0.0289795
+0.0277498
+0.0266438
+0.0256774
+0.024867
+0.0242281
+0.0237469
+0.0234571
+0.02337
+0.0221547
+0.0207771
+0.0195437
+0.0184433
+0.0175485
+0.0168921
+0.0165026
+0.0163942
+0.0165258
+0.016942
+0.0176226
+0.0178909
+0.0180581
+0.018474
+0.0191332
+0.0200118
+0.0210822
+0.0222961
+0.0236346
+0.0250932
+0.0266522
+0.0282936
+0.0300041
+0.0317737
+0.0335929
+0.033181
+0.0320539
+0.0310408
+0.0301529
+0.029395
+0.0287591
+0.0282789
+0.0279626
+0.0278158
+0.0278411
+0.0280273
+0.0283597
+0.0288552
+0.0294972
+0.0301315
+0.0306484
+0.0312764
+0.0320137
+0.0328801
+0.0336742
+0.0345712
+0.0355807
+0.0366934
+0.0378934
+0.0391775
+0.0405394
+0.0419715
+0.0434669
+0.0450176
+0.0465676
+0.0481673
+0.049812
+0.0514974
+0.0532159
+0.0549664
+0.0557494
+0.0558218
+0.0559799
+0.056223
+0.05655
+0.0569594
+0.0574495
+0.0580182
+0.0586632
+0.0593822
+0.0675325
+0.0655043
+0.0634868
+0.0614813
+0.0594888
+0.0575107
+0.0555486
+0.0536004
+0.0516644
+0.0497496
+0.0478585
+0.0459939
+0.0441593
+0.0423586
+0.0405962
+0.0388774
+0.0372082
+0.0355955
+0.0340472
+0.0325677
+0.0311721
+0.0298721
+0.0286808
+0.0276121
+0.0266808
+0.0259017
+0.0252839
+0.0248193
+0.0245423
+0.0236256
+0.0221208
+0.020731
+0.0194889
+0.0184078
+0.0175113
+0.0168534
+0.016463
+0.0163544
+0.0164862
+0.0169034
+0.0175855
+0.0185034
+0.0190729
+0.0194671
+0.0200938
+0.0209296
+0.0219487
+0.0231257
+0.0244187
+0.0258331
+0.02735
+0.0289518
+0.0306256
+0.032358
+0.0339874
+0.0328266
+0.0317747
+0.0308427
+0.0300419
+0.0293412
+0.028704
+0.0282229
+0.027906
+0.0277589
+0.0277842
+0.0279708
+0.0283039
+0.0288003
+0.0294177
+0.0300481
+0.0305968
+0.0312258
+0.0319642
+0.032832
+0.0338196
+0.0348466
+0.0358484
+0.036953
+0.0381448
+0.0394207
+0.0407745
+0.0421986
+0.0436863
+0.0452311
+0.0468275
+0.0484703
+0.050155
+0.0518743
+0.0535898
+0.0553336
+0.0558008
+0.0558732
+0.0560311
+0.056274
+0.0566007
+0.0570097
+0.0574994
+0.0580676
+0.0587121
+0.0594304
+0.0680046
+0.0659909
+0.0639888
+0.0619995
+0.0600242
+0.0580637
+0.0561117
+0.0541769
+0.0522623
+0.0503702
+0.0485032
+0.0466644
+0.0448573
+0.0430857
+0.0413543
+0.0396684
+0.0380339
+0.0364578
+0.0349477
+0.033508
+0.0321533
+0.0308946
+0.0297442
+0.0287151
+0.0278208
+0.0270745
+0.0264696
+0.0260262
+0.0253563
+0.0237614
+0.0222657
+0.0208856
+0.0196533
+0.0185896
+0.0177022
+0.0170517
+0.0166659
+0.0165633
+0.0167095
+0.0171212
+0.017795
+0.0187026
+0.0198119
+0.0206096
+0.0212001
+0.0219888
+0.0229601
+0.024092
+0.0253403
+0.0267031
+0.0281706
+0.0297271
+0.0313596
+0.0330524
+0.0337752
+0.0326069
+0.0315476
+0.0306088
+0.0298016
+0.0291372
+0.0285961
+0.028212
+0.0279946
+0.0278538
+0.027879
+0.028065
+0.028397
+0.0288918
+0.0294955
+0.0301242
+0.0307018
+0.0313287
+0.0320647
+0.0329298
+0.0339146
+0.0350089
+0.036166
+0.0373395
+0.0385193
+0.0397833
+0.0411251
+0.0425375
+0.0440137
+0.0455474
+0.0471331
+0.0487656
+0.0504405
+0.0521503
+0.0538878
+0.0556573
+0.0558585
+0.0559307
+0.0560885
+0.0563311
+0.0566575
+0.0570661
+0.0575553
+0.058123
+0.0587669
+0.0594846
+0.0685435
+0.0665461
+0.0645606
+0.0625852
+0.0606244
+0.058679
+0.0567472
+0.0548349
+0.0529441
+0.0510772
+0.0492371
+0.0474268
+0.0456498
+0.0439102
+0.0422127
+0.0405624
+0.0389655
+0.0374286
+0.0359593
+0.0345618
+0.03325
+0.0320344
+0.0309265
+0.029938
+0.0290813
+0.0283633
+0.0277777
+0.0273297
+0.0256705
+0.0240964
+0.0226229
+0.021266
+0.0200571
+0.0190159
+0.0181494
+0.0175155
+0.0171402
+0.0170404
+0.0171825
+0.0175832
+0.0182399
+0.0191264
+0.0202125
+0.0214473
+0.0224602
+0.0232061
+0.0241285
+0.025208
+0.0264036
+0.0277142
+0.0291307
+0.0306386
+0.0322249
+0.0338745
+0.0336596
+0.0325282
+0.0314666
+0.0305255
+0.0297164
+0.0290503
+0.0285083
+0.0281231
+0.0279049
+0.0278579
+0.0279829
+0.0282775
+0.0286456
+0.0291361
+0.0297349
+0.0303587
+0.0309618
+0.0315825
+0.0323138
+0.0331724
+0.0341502
+0.0352372
+0.0364125
+0.0375908
+0.038857
+0.0402028
+0.0415883
+0.0429855
+0.0444468
+0.0459661
+0.0475378
+0.0491569
+0.0508188
+0.0525164
+0.0542421
+0.0560004
+0.0560018
+0.0560739
+0.0562313
+0.0564733
+0.0567988
+0.0572064
+0.0576944
+0.0582608
+0.0589032
+0.0596192
+0.0691419
+0.0671582
+0.0651877
+0.0632316
+0.0612915
+0.059368
+0.0574593
+0.0555715
+0.0537066
+0.0518672
+0.0500562
+0.0482766
+0.046532
+0.0448267
+0.0431652
+0.0415528
+0.0399954
+0.0384997
+0.0370729
+0.035719
+0.0344513
+0.0332796
+0.0322145
+0.0312668
+0.0304475
+0.0297495
+0.0291918
+0.0277946
+0.026165
+0.0246225
+0.0231825
+0.0218603
+0.0206862
+0.0196783
+0.0188423
+0.0182325
+0.0178722
+0.0177766
+0.0179129
+0.0182975
+0.0189295
+0.0197851
+0.0208369
+0.0220367
+0.0233776
+0.0245589
+0.0254323
+0.0264586
+0.0276001
+0.0288564
+0.0302195
+0.0316755
+0.0332123
+0.0345241
+0.0333496
+0.0322811
+0.0313204
+0.0304661
+0.0297489
+0.0291066
+0.0285671
+0.0281827
+0.027965
+0.0279181
+0.0280428
+0.0283368
+0.0287811
+0.0293011
+0.0299511
+0.030452
+0.0310191
+0.0316649
+0.032395
+0.0332537
+0.0342302
+0.0353147
+0.0364987
+0.0377726
+0.0391276
+0.0405365
+0.0419383
+0.0433979
+0.0449169
+0.0464809
+0.0480358
+0.0496386
+0.051285
+0.05297
+0.054682
+0.0562066
+0.0562096
+0.0562911
+0.0564479
+0.056689
+0.0570133
+0.0574194
+0.0578963
+0.058415
+0.0590086
+0.0596767
+0.0697964
+0.0678318
+0.0658814
+0.0639466
+0.0620288
+0.0601289
+0.0582452
+0.0563836
+0.0545466
+0.0527365
+0.0509563
+0.0492093
+0.047499
+0.0458297
+0.0442059
+0.0426329
+0.0411164
+0.039663
+0.0382796
+0.0369699
+0.0357465
+0.0346188
+0.0335961
+0.0326885
+0.0319009
+0.0312281
+0.0300883
+0.0284213
+0.0268297
+0.0253278
+0.0239303
+0.0226518
+0.0215112
+0.0205165
+0.0197159
+0.0191339
+0.0187908
+0.0186997
+0.0188334
+0.0191996
+0.0198028
+0.0206223
+0.0216333
+0.0228106
+0.0241193
+0.0255389
+0.0268518
+0.0278258
+0.0289095
+0.0301112
+0.0314198
+0.0328227
+0.0343081
+0.0343619
+0.0331816
+0.0320986
+0.0311116
+0.0302514
+0.029529
+0.0289547
+0.0285374
+0.0282635
+0.0281456
+0.0281492
+0.0282728
+0.0285644
+0.0290053
+0.0295214
+0.0301665
+0.030664
+0.0312272
+0.0318979
+0.0326228
+0.0334756
+0.0344458
+0.0355237
+0.036701
+0.0379682
+0.0393167
+0.0407382
+0.0422071
+0.0437333
+0.045314
+0.0468868
+0.0484945
+0.0501464
+0.0518247
+0.0534935
+0.0551988
+0.0564205
+0.0564235
+0.0565047
+0.0566329
+0.0568405
+0.0571314
+0.0575044
+0.057946
+0.0584623
+0.0590554
+0.059723
+0.0705128
+0.0685687
+0.0666399
+0.0647278
+0.0628339
+0.0609591
+0.0591018
+0.0572681
+0.0554604
+0.0536811
+0.0519333
+0.0502203
+0.0485457
+0.0469136
+0.0453286
+0.043796
+0.0423212
+0.0409106
+0.0395708
+0.0383053
+0.037126
+0.0360414
+0.0350603
+0.0341916
+0.0334279
+0.032498
+0.0308064
+0.0291805
+0.0276327
+0.0261768
+0.0248292
+0.0236035
+0.0224883
+0.0215387
+0.0207776
+0.0202262
+0.0199019
+0.0198159
+0.019947
+0.0202932
+0.0208648
+0.0216441
+0.0226095
+0.0237384
+0.0250086
+0.0263792
+0.027841
+0.0292856
+0.0303146
+0.0314627
+0.0327173
+0.0340668
+0.0355002
+0.0343152
+0.0331341
+0.032045
+0.0310564
+0.0301946
+0.0294708
+0.0288953
+0.0284771
+0.0282026
+0.0280845
+0.0281369
+0.0283263
+0.0286191
+0.0290728
+0.0296594
+0.0303632
+0.0308969
+0.0315444
+0.0322782
+0.0329947
+0.0338382
+0.0347982
+0.0358656
+0.037032
+0.0382882
+0.0396258
+0.0410369
+0.0425138
+0.0440325
+0.0456029
+0.0472227
+0.048887
+0.0505914
+0.0522867
+0.0540004
+0.0557475
+0.0566363
+0.0565901
+0.0566286
+0.0567518
+0.056959
+0.0572493
+0.0576215
+0.058074
+0.0585915
+0.0591833
+0.0598495
+0.0712894
+0.0693671
+0.0674611
+0.0655729
+0.0637041
+0.0618557
+0.0600262
+0.0582216
+0.0564444
+0.0546972
+0.0529829
+0.051305
+0.0496669
+0.0480729
+0.0465275
+0.0450356
+0.0436028
+0.0422351
+0.0409386
+0.0397167
+0.0385806
+0.037538
+0.0365971
+0.035761
+0.0350023
+0.033297
+0.0316482
+0.0300678
+0.0285681
+0.0271625
+0.0258662
+0.0246924
+0.0236287
+0.0227268
+0.0220068
+0.0214869
+0.021182
+0.0211012
+0.021224
+0.0215496
+0.0220888
+0.0228263
+0.0237437
+0.024821
+0.0260385
+0.0273579
+0.02877
+0.0302749
+0.0318087
+0.0329046
+0.0341063
+0.0354028
+0.0356784
+0.0344047
+0.0332268
+0.032141
+0.0311554
+0.0302964
+0.0295751
+0.0290017
+0.0285851
+0.0283116
+0.0281939
+0.0282461
+0.0284349
+0.0287265
+0.0291785
+0.029763
+0.0304645
+0.0310862
+0.0317298
+0.0325086
+0.0334131
+0.0343369
+0.0352835
+0.0363366
+0.0374883
+0.0387297
+0.0400526
+0.0414491
+0.0429121
+0.0444277
+0.0459846
+0.0475914
+0.0492432
+0.0509357
+0.052665
+0.0544275
+0.0562201
+0.0568378
+0.0567918
+0.0568302
+0.0569529
+0.0571593
+0.0574369
+0.0577919
+0.0582272
+0.058741
+0.0593313
+0.0599958
+0.0721242
+0.0702247
+0.0683427
+0.0664796
+0.064637
+0.062816
+0.0610153
+0.0592409
+0.0574952
+0.0557809
+0.0541009
+0.0524587
+0.0508579
+0.0493024
+0.0477967
+0.0463458
+0.0449547
+0.0436294
+0.0423756
+0.0411963
+0.0401022
+0.0391002
+0.0381977
+0.0373842
+0.0358794
+0.0342179
+0.0326156
+0.0310845
+0.0296363
+0.0282838
+0.0270413
+0.025921
+0.0249099
+0.0240561
+0.0233771
+0.0228883
+0.0226023
+0.0225266
+0.0226413
+0.0229468
+0.0234539
+0.0241497
+0.0250187
+0.0260433
+0.0272062
+0.0284718
+0.0298312
+0.0312851
+0.0328209
+0.0344257
+0.035576
+0.0368209
+0.0358984
+0.0346328
+0.0334629
+0.0323852
+0.0314073
+0.0305554
+0.0298403
+0.0292721
+0.0288594
+0.0285886
+0.028472
+0.0285237
+0.0287107
+0.0289995
+0.0294473
+0.0300266
+0.030722
+0.0314274
+0.0320641
+0.032835
+0.0337307
+0.0347346
+0.0358254
+0.0369317
+0.0380654
+0.0392886
+0.0405933
+0.0419718
+0.0434171
+0.0449188
+0.0464593
+0.0480502
+0.0496868
+0.0513647
+0.0530799
+0.0548291
+0.056609
+0.0571227
+0.0570698
+0.0570917
+0.0571977
+0.0573871
+0.0576592
+0.0580128
+0.0584465
+0.0589584
+0.0595465
+0.0602087
+0.0730152
+0.0711395
+0.0692823
+0.0674452
+0.0656297
+0.063837
+0.062066
+0.0603225
+0.058609
+0.0569282
+0.0552832
+0.0536772
+0.0521137
+0.0505969
+0.0491309
+0.0477205
+0.0463707
+0.045087
+0.0438749
+0.0427371
+0.0416833
+0.0407182
+0.0398334
+0.0385379
+0.036866
+0.035251
+0.0336979
+0.0322182
+0.0308233
+0.0295252
+0.0283373
+0.0272705
+0.0263114
+0.0255046
+0.0248651
+0.0244062
+0.0241382
+0.0240673
+0.0241743
+0.0244607
+0.024937
+0.0255926
+0.0264141
+0.0273866
+0.0284946
+0.0297057
+0.0310111
+0.0324121
+0.0338969
+0.0354549
+0.037077
+0.0372752
+0.0360108
+0.0348286
+0.0337472
+0.0327743
+0.0318084
+0.0309676
+0.0302622
+0.0297021
+0.0292955
+0.0290287
+0.0289139
+0.0289648
+0.0291489
+0.0294335
+0.0298748
+0.0304459
+0.031132
+0.0318457
+0.0324522
+0.0331861
+0.0340454
+0.0350208
+0.0361003
+0.0372602
+0.0385054
+0.0398318
+0.041183
+0.0425861
+0.0440255
+0.0455097
+0.0470313
+0.0486035
+0.050222
+0.0518826
+0.0535813
+0.0553146
+0.0570794
+0.0574342
+0.0573724
+0.0573943
+0.0574997
+0.0576881
+0.0579588
+0.0583106
+0.058742
+0.0592514
+0.0598367
+0.0604824
+0.0739604
+0.0721093
+0.0702777
+0.0684673
+0.0666796
+0.064916
+0.0631752
+0.0614631
+0.0597823
+0.0581355
+0.0565256
+0.0549559
+0.05343
+0.0519515
+0.0505249
+0.0491545
+0.0478452
+0.0466021
+0.0454305
+0.0443325
+0.0433116
+0.0423678
+0.0412577
+0.0395795
+0.0379535
+0.0363868
+0.0348843
+0.0334572
+0.0321161
+0.0308724
+0.0297383
+0.0287239
+0.027815
+0.0270531
+0.0264511
+0.0260202
+0.0257689
+0.0257026
+0.0258017
+0.0260703
+0.0265177
+0.0271351
+0.0279112
+0.0288332
+0.0298877
+0.0310454
+0.0322966
+0.0336442
+0.0350768
+0.0365847
+0.0381587
+0.0375139
+0.0362484
+0.0350741
+0.0340006
+0.0330364
+0.0321873
+0.0314453
+0.0308344
+0.0302848
+0.0298861
+0.0296247
+0.0295122
+0.0295621
+0.0297425
+0.0300214
+0.0304542
+0.0310147
+0.0316475
+0.0321309
+0.0327321
+0.0334599
+0.0343123
+0.0352804
+0.0363522
+0.0375051
+0.0387478
+0.0400717
+0.0414692
+0.0429326
+0.044452
+0.0460247
+0.0476463
+0.0492481
+0.0508461
+0.052487
+0.0541667
+0.0558819
+0.0576293
+0.057818
+0.0577566
+0.0577784
+0.0578831
+0.0580703
+0.0583392
+0.0586746
+0.0590845
+0.0595662
+0.0601238
+0.0607554
+0.0749577
+0.0731318
+0.0713265
+0.0695434
+0.0677841
+0.0660499
+0.0643397
+0.0626595
+0.0610117
+0.059399
+0.0578243
+0.0562908
+0.054802
+0.0533616
+0.0519737
+0.0506425
+0.0493727
+0.0481691
+0.0470343
+0.0459631
+0.0449728
+0.0440276
+0.0423458
+0.0407124
+0.0391335
+0.0376126
+0.0361604
+0.0347857
+0.0334979
+0.0323074
+0.0312255
+0.0302501
+0.0293882
+0.0286682
+0.0281009
+0.0276957
+0.0274599
+0.0273977
+0.0274836
+0.0277359
+0.0281568
+0.028739
+0.0294729
+0.0303476
+0.0313512
+0.0324717
+0.0336757
+0.0349702
+0.0363506
+0.0378077
+0.0391998
+0.037869
+0.0366149
+0.035449
+0.0343833
+0.0334274
+0.0325885
+0.0318558
+0.0312551
+0.0307734
+0.0304421
+0.0302662
+0.0302238
+0.0303063
+0.0304823
+0.0307545
+0.0311771
+0.0317176
+0.0320642
+0.0325414
+0.0331542
+0.0338734
+0.0347157
+0.0356728
+0.0367331
+0.0378745
+0.0391054
+0.0404176
+0.0418035
+0.043256
+0.0447687
+0.0463331
+0.0479442
+0.0495998
+0.0512956
+0.0530276
+0.0547925
+0.0565284
+0.0581569
+0.0582044
+0.0581435
+0.0581651
+0.0582691
+0.0584551
+0.0587208
+0.0590434
+0.0594447
+0.0599235
+0.0604779
+0.0611058
+0.076005
+0.074205
+0.0724264
+0.070671
+0.0689382
+0.0672301
+0.0655508
+0.0639024
+0.0622875
+0.0607086
+0.0591688
+0.0576711
+0.0562189
+0.0548157
+0.0534656
+0.0521725
+0.0509408
+0.0497751
+0.048667
+0.0476326
+0.0466777
+0.0451552
+0.043517
+0.0419285
+0.040394
+0.0389223
+0.0375208
+0.0361977
+0.0349619
+0.0338231
+0.0327892
+0.0318455
+0.0310279
+0.0303468
+0.0298115
+0.0294299
+0.029208
+0.0291496
+0.0292312
+0.0294685
+0.029865
+0.0304145
+0.0311089
+0.0319388
+0.0328939
+0.0339636
+0.0351374
+0.0363799
+0.0377087
+0.0391153
+0.0394951
+0.0382285
+0.0370482
+0.0359474
+0.0348969
+0.0339554
+0.0331257
+0.032405
+0.0317901
+0.0313166
+0.0309912
+0.0308184
+0.0307767
+0.0308847
+0.0311105
+0.0314053
+0.0318484
+0.0322545
+0.0326144
+0.0330837
+0.0336891
+0.0344211
+0.0352508
+0.0361938
+0.0372393
+0.0383656
+0.0395812
+0.0408782
+0.042249
+0.0436867
+0.0451849
+0.0467354
+0.0483331
+0.0499758
+0.0516592
+0.0533795
+0.0551331
+0.056917
+0.0583826
+0.0586342
+0.0585737
+0.0585952
+0.0586985
+0.0588831
+0.0591484
+0.0594846
+0.0598829
+0.060353
+0.0608972
+0.0615103
+0.0771004
+0.0753266
+0.0735749
+0.0718435
+0.0701378
+0.0684597
+0.0668112
+0.0651947
+0.0636126
+0.0620675
+0.0605622
+0.0590998
+0.0576836
+0.056317
+0.0550037
+0.0537476
+0.0525528
+0.0514155
+0.0503422
+0.0493428
+0.0480002
+0.046359
+0.0447634
+0.0432184
+0.0417313
+0.0403084
+0.0389569
+0.0376843
+0.0364989
+0.0354094
+0.0344063
+0.0335082
+0.0327322
+0.0320873
+0.0315815
+0.0312215
+0.0310125
+0.0309574
+0.0310351
+0.0312587
+0.0316327
+0.0321521
+0.0328097
+0.0335976
+0.0345068
+0.035528
+0.0366518
+0.0378533
+0.0391323
+0.0404894
+0.0398073
+0.0385462
+0.0373654
+0.0362785
+0.0352944
+0.0344156
+0.0336353
+0.0329822
+0.0324641
+0.032001
+0.0316825
+0.0315135
+0.0314685
+0.0315712
+0.03177
+0.0320588
+0.0324929
+0.0329088
+0.0332998
+0.0337596
+0.0343532
+0.0350737
+0.0359077
+0.0368339
+0.0378642
+0.0389738
+0.0401711
+0.0414496
+0.0428021
+0.0442218
+0.0457024
+0.0472359
+0.0488173
+0.0504443
+0.0521125
+0.0538183
+0.0555581
+0.0573199
+0.0586893
+0.059142
+0.0590821
+0.0591034
+0.0592058
+0.0593888
+0.0596519
+0.0599637
+0.0603525
+0.0608134
+0.0613384
+0.0619364
+0.0782419
+0.0764923
+0.0747643
+0.0730611
+0.0713845
+0.0697363
+0.0681188
+0.0665341
+0.0649846
+0.0634729
+0.0620018
+0.0605741
+0.0591932
+0.0578622
+0.0565848
+0.0553646
+0.0542016
+0.0530943
+0.0520556
+0.0508747
+0.0492319
+0.047631
+0.0460781
+0.0445787
+0.0431385
+0.0417636
+0.0404607
+0.0392369
+0.0380998
+0.0370494
+0.0360841
+0.0352287
+0.0344914
+0.03388
+0.0334014
+0.0330612
+0.0328639
+0.032812
+0.0328859
+0.033097
+0.0334506
+0.0339421
+0.0345657
+0.0353145
+0.0361805
+0.0371557
+0.0382317
+0.0393878
+0.0406185
+0.041539
+0.0402076
+0.038954
+0.0377859
+0.0367115
+0.0357393
+0.0348776
+0.0341151
+0.0334714
+0.032961
+0.0325901
+0.0323605
+0.0322527
+0.0322698
+0.0323699
+0.0325639
+0.0328456
+0.0332695
+0.0336931
+0.034111
+0.0345614
+0.0351414
+0.0358462
+0.0366626
+0.0375701
+0.0385808
+0.0396869
+0.04087
+0.0421272
+0.0434587
+0.0448576
+0.0463179
+0.0478317
+0.049394
+0.0510026
+0.0526532
+0.0543419
+0.0560655
+0.0577155
+0.0590756
+0.059726
+0.0596667
+0.0596877
+0.0597891
+0.0599682
+0.0601565
+0.0604188
+0.0607589
+0.0611756
+0.0616674
+0.0622325
+0.0794234
+0.0776988
+0.0759982
+0.0743233
+0.0726758
+0.0710576
+0.0694709
+0.0679177
+0.0664005
+0.0649218
+0.0634843
+0.0620907
+0.0607442
+0.059448
+0.0582054
+0.0570196
+0.0558826
+0.0548092
+0.0537741
+0.0521305
+0.0505259
+0.0489667
+0.0474575
+0.0460031
+0.0446089
+0.0432808
+0.0420249
+0.040848
+0.039757
+0.0387365
+0.0378143
+0.0369989
+0.0362976
+0.0357172
+0.0352634
+0.0349414
+0.0347548
+0.0347057
+0.0347763
+0.034976
+0.0353107
+0.0357767
+0.0363689
+0.0370813
+0.037907
+0.0388389
+0.0398695
+0.040982
+0.0421661
+0.042032
+0.0407167
+0.0394793
+0.0383272
+0.0372684
+0.0363067
+0.0354503
+0.0347037
+0.0340711
+0.0335698
+0.0332058
+0.0329764
+0.0328706
+0.0329107
+0.033096
+0.0334241
+0.0337565
+0.0341691
+0.0345984
+0.0350167
+0.0354792
+0.0360458
+0.0367332
+0.0375303
+0.0384173
+0.0394063
+0.0404898
+0.0416604
+0.0429062
+0.0442142
+0.0455899
+0.0470275
+0.0485191
+0.05006
+0.0516478
+0.0532784
+0.054948
+0.0566531
+0.0581909
+0.0595401
+0.0603804
+0.0602837
+0.0602275
+0.060251
+0.060354
+0.0605361
+0.0607967
+0.0611348
+0.061549
+0.0620378
+0.0625995
+0.0806456
+0.0789477
+0.0772746
+0.0756279
+0.0740095
+0.0724211
+0.0708649
+0.069343
+0.0678577
+0.0664114
+0.0650068
+0.0636466
+0.0623337
+0.0610712
+0.0598623
+0.058702
+0.0575979
+0.0565571
+0.0550502
+0.0534435
+0.0518795
+0.0503623
+0.0488962
+0.0474859
+0.0461365
+0.0448536
+0.043643
+0.0425109
+0.0414508
+0.0404719
+0.0395901
+0.0388121
+0.0381442
+0.0375922
+0.0371614
+0.036856
+0.0366791
+0.0366326
+0.0367001
+0.0368894
+0.0372069
+0.0376494
+0.0382126
+0.0388912
+0.0396793
+0.0405705
+0.0415582
+0.0426291
+0.0437687
+0.042632
+0.0413358
+0.0401175
+0.0389837
+0.0379352
+0.0369868
+0.0361465
+0.0354145
+0.0347949
+0.0343042
+0.033948
+0.0337237
+0.0336203
+0.0336594
+0.0338406
+0.0341616
+0.0346138
+0.0351751
+0.0356076
+0.0360318
+0.0364826
+0.0370513
+0.0377219
+0.0385032
+0.0393684
+0.0403341
+0.0413933
+0.042539
+0.0437622
+0.0450587
+0.0464142
+0.047827
+0.0492944
+0.0508118
+0.0523768
+0.0539854
+0.0556338
+0.0569972
+0.0581048
+0.0592727
+0.0604974
+0.0607416
+0.0606858
+0.0607091
+0.0608113
+0.0609921
+0.0612507
+0.0615863
+0.0619975
+0.0624828
+0.0630406
+0.0819081
+0.0802369
+0.0785913
+0.0769728
+0.0753832
+0.0738245
+0.0722984
+0.0708073
+0.0693534
+0.0679389
+0.0665666
+0.0652389
+0.0639587
+0.062729
+0.0615483
+0.0604167
+0.0593445
+0.0579885
+0.0563804
+0.0548127
+0.0532889
+0.051813
+0.0503891
+0.0490217
+0.0477158
+0.0464766
+0.0453094
+0.0442156
+0.0431883
+0.0422496
+0.0414057
+0.0406625
+0.0400254
+0.0394998
+0.03909
+0.0387997
+0.0386317
+0.0385876
+0.0386524
+0.0388321
+0.0391339
+0.0395549
+0.0400913
+0.0407386
+0.0414916
+0.0423447
+0.0432919
+0.0443234
+0.0446742
+0.0433284
+0.0420537
+0.0408568
+0.0397388
+0.0387107
+0.0377818
+0.0369596
+0.036244
+0.0356388
+0.0351599
+0.0348125
+0.0345938
+0.034493
+0.0345311
+0.0347078
+0.0350208
+0.0354621
+0.0360101
+0.036681
+0.0371486
+0.0375859
+0.0381382
+0.03879
+0.0395526
+0.0404159
+0.0413571
+0.0423908
+0.0435103
+0.0447068
+0.0459767
+0.047314
+0.048712
+0.0501535
+0.0516456
+0.0528222
+0.0537482
+0.0547463
+0.0558126
+0.0569433
+0.0581345
+0.0593827
+0.0606843
+0.0612191
+0.0612422
+0.0613435
+0.0615226
+0.061764
+0.0620818
+0.0624748
+0.0629417
+0.0634647
+0.0832092
+0.0815647
+0.0799463
+0.0783558
+0.0767949
+0.0752654
+0.0737692
+0.0723084
+0.0708852
+0.069502
+0.0681611
+0.0668651
+0.0656167
+0.0644177
+0.0632616
+0.0621613
+0.0609427
+0.0593337
+0.0577631
+0.0562339
+0.0547497
+0.0533142
+0.0519315
+0.0506058
+0.0493419
+0.0481445
+0.0470187
+0.045953
+0.0449653
+0.0440646
+0.0432561
+0.0425451
+0.0419367
+0.0414353
+0.0410449
+0.0407685
+0.0406087
+0.0405667
+0.0406289
+0.0408
+0.0410873
+0.0414884
+0.0420001
+0.0426185
+0.0433388
+0.0441562
+0.0450654
+0.0460591
+0.0454403
+0.0441179
+0.0428667
+0.0416931
+0.0405982
+0.0395924
+0.0386847
+0.037882
+0.0371758
+0.036586
+0.0361196
+0.0357815
+0.0355753
+0.0354797
+0.0355168
+0.0356885
+0.0359931
+0.0364211
+0.0369549
+0.037609
+0.0383468
+0.0387817
+0.0393172
+0.0399498
+0.0406906
+0.0415334
+0.0424686
+0.0434759
+0.0445681
+0.045737
+0.046979
+0.0482886
+0.0492418
+0.0499587
+0.0507602
+0.0516348
+0.0525818
+0.0536016
+0.0546902
+0.0558436
+0.0570577
+0.058329
+0.0596536
+0.0610272
+0.0616829
+0.0617684
+0.0619314
+0.0621713
+0.062487
+0.0628775
+0.0633414
+0.0638772
+0.084547
+0.082929
+0.0813378
+0.0797751
+0.0782425
+0.0767418
+0.0752749
+0.073844
+0.072451
+0.0710982
+0.069788
+0.0685228
+0.0673051
+0.0661293
+0.0650037
+0.0639104
+0.0623011
+0.0607282
+0.0591945
+0.0577033
+0.0562579
+0.0548619
+0.0535191
+0.0522338
+0.0510102
+0.0498529
+0.0487578
+0.0477277
+0.0467775
+0.0459123
+0.0451369
+0.0444561
+0.0438742
+0.0433952
+0.0430225
+0.042759
+0.0426066
+0.0425665
+0.0426264
+0.0427895
+0.0430635
+0.0434464
+0.0439353
+0.0445268
+0.0452168
+0.0460008
+0.0468742
+0.0476602
+0.0462975
+0.0450003
+0.0437744
+0.0426258
+0.0415554
+0.0405734
+0.0396881
+0.038895
+0.0382063
+0.0376326
+0.0371794
+0.036851
+0.0366509
+0.0365711
+0.0366071
+0.0367738
+0.0370694
+0.0374802
+0.0379991
+0.0386355
+0.0393836
+0.0400572
+0.0405801
+0.0411935
+0.0419124
+0.042731
+0.0436436
+0.0446422
+0.0457065
+0.0464066
+0.0468672
+0.0474214
+0.0480658
+0.0488
+0.0496161
+0.050506
+0.0514737
+0.0525151
+0.0536258
+0.0548015
+0.0560383
+0.0573321
+0.0586756
+0.0600668
+0.0615047
+0.0622528
+0.0624146
+0.0626525
+0.0629659
+0.0633534
+0.0638139
+0.0643457
+0.0859198
+0.0843282
+0.0827639
+0.0812286
+0.0797239
+0.0782517
+0.0768137
+0.0754119
+0.0740484
+0.0727253
+0.071445
+0.0702096
+0.0690169
+0.0678684
+0.0667721
+0.0652806
+0.0637059
+0.0621685
+0.0606713
+0.0592173
+0.0578097
+0.0564521
+0.0551481
+0.0539016
+0.0527168
+0.0515962
+0.0505289
+0.0495357
+0.0486208
+0.047789
+0.0470446
+0.0463917
+0.0458344
+0.0453761
+0.0450198
+0.0447681
+0.0446225
+0.0445843
+0.044642
+0.0447977
+0.0450596
+0.0454256
+0.0458935
+0.04646
+0.0471217
+0.0478746
+0.0487144
+0.0485771
+0.0472409
+0.0459703
+0.0447709
+0.0436485
+0.0426039
+0.0416466
+0.0407774
+0.0400012
+0.0393319
+0.0387749
+0.0383351
+0.0380168
+0.0378228
+0.0377372
+0.037772
+0.0379336
+0.0382202
+0.0386292
+0.0391382
+0.0397563
+0.0404837
+0.0411791
+0.041845
+0.0425137
+0.0432107
+0.0440052
+0.0444478
+0.0446068
+0.0448724
+0.0452426
+0.0457149
+0.0462862
+0.0469528
+0.0477052
+0.0485312
+0.0494406
+0.0504288
+0.0514913
+0.0526235
+0.0538212
+0.05508
+0.0563958
+0.0577593
+0.0591721
+0.0606311
+0.0621331
+0.0629703
+0.0632061
+0.0635167
+0.0639009
+0.0643575
+0.0648848
+0.087326
+0.0857605
+0.0842228
+0.0827146
+0.0812375
+0.0797931
+0.0783834
+0.0770102
+0.0756755
+0.0743814
+0.07313
+0.071922
+0.0707529
+0.0696331
+0.0682679
+0.0666917
+0.0651512
+0.0636487
+0.0621871
+0.0607694
+0.0593986
+0.0580781
+0.0568115
+0.0556023
+0.0544545
+0.053363
+0.0523319
+0.0513734
+0.050492
+0.0496915
+0.0489759
+0.0483492
+0.0478147
+0.0473755
+0.0470344
+0.0467935
+0.0466543
+0.0466177
+0.0466734
+0.0468224
+0.047073
+0.0474235
+0.0478718
+0.0484152
+0.0490505
+0.0497742
+0.0505825
+0.0495738
+0.0482652
+0.0470223
+0.0458505
+0.0447552
+0.043737
+0.0428016
+0.0419485
+0.0411943
+0.0405447
+0.0400046
+0.0395785
+0.0392702
+0.0390773
+0.0389881
+0.0390218
+0.0391782
+0.0394559
+0.0398521
+0.0403636
+0.0409637
+0.0414848
+0.0415877
+0.0418054
+0.042136
+0.042571
+0.0431075
+0.0433417
+0.0435048
+0.0437771
+0.0441565
+0.0446403
+0.0452251
+0.0459072
+0.0466764
+0.0475203
+0.0484487
+0.0494567
+0.0505396
+0.0516928
+0.0529115
+0.0541914
+0.0555283
+0.0569125
+0.0583458
+0.059825
+0.0613468
+0.0629081
+0.0638301
+0.0641377
+0.0645084
+0.0648958
+0.0653336
+0.0887641
+0.0872243
+0.0857129
+0.0842314
+0.0827813
+0.0813644
+0.0799824
+0.0786371
+0.0773305
+0.0760645
+0.0748413
+0.0736547
+0.0725135
+0.071262
+0.0696848
+0.0681414
+0.0666344
+0.0651661
+0.0637393
+0.0623569
+0.0610218
+0.0597372
+0.0585065
+0.0573331
+0.0562206
+0.0551603
+0.0541634
+0.053238
+0.0523878
+0.0516168
+0.0509283
+0.0503259
+0.0498126
+0.0493912
+0.0490641
+0.0488332
+0.0486998
+0.0486648
+0.0487186
+0.0488614
+0.0491015
+0.0494377
+0.0498679
+0.0503898
+0.0510005
+0.0516969
+0.0519847
+0.0506458
+0.0493657
+0.0481512
+0.0470074
+0.0459398
+0.0449483
+0.0440278
+0.043199
+0.042467
+0.0418371
+0.0413139
+0.0409015
+0.0406033
+0.0404056
+0.0403193
+0.0403519
+0.0405032
+0.0407718
+0.0408016
+0.0405758
+0.0404572
+0.0404443
+0.0405499
+0.0407732
+0.0411121
+0.0415529
+0.0421024
+0.0423203
+0.0424873
+0.042766
+0.0431543
+0.0436492
+0.0442472
+0.0449441
+0.0457272
+0.0465906
+0.0475371
+0.048564
+0.0496664
+0.0508394
+0.0520781
+0.053378
+0.0547348
+0.0561386
+0.0575911
+0.0590892
+0.0606295
+0.0622087
+0.0638241
+0.0646879
+0.06499
+0.0653538
+0.0657886
+0.0902323
+0.0887181
+0.0872326
+0.0857773
+0.0843538
+0.0829637
+0.0816088
+0.0802908
+0.0790115
+0.077773
+0.0765719
+0.0754112
+0.0742647
+0.0726866
+0.0711409
+0.0696298
+0.0681557
+0.0667209
+0.0653281
+0.06398
+0.0626795
+0.0614296
+0.0602335
+0.0590944
+0.0580156
+0.0569852
+0.0560207
+0.0551264
+0.0543059
+0.0535624
+0.0528993
+0.0523196
+0.051826
+0.0514211
+0.051107
+0.0508854
+0.0507574
+0.0507238
+0.050776
+0.0509129
+0.0511435
+0.0514663
+0.0518797
+0.0523815
+0.0529693
+0.0536401
+0.0530984
+0.0517883
+0.0505371
+0.0493515
+0.0482362
+0.047194
+0.0462145
+0.0453198
+0.044515
+0.043805
+0.0431947
+0.0426881
+0.0422891
+0.0420007
+0.0418065
+0.0417231
+0.0412413
+0.0406654
+0.0402007
+0.0398511
+0.0396199
+0.0395064
+0.0394932
+0.0396014
+0.0398299
+0.0401762
+0.0406276
+0.0411894
+0.0413897
+0.0415605
+0.0418454
+0.0422421
+0.0427476
+0.0433564
+0.0440535
+0.0448468
+0.0457314
+0.0467021
+0.0477535
+0.0488759
+0.0500674
+0.0513247
+0.0526432
+0.0540185
+0.0554404
+0.0569108
+0.0584263
+0.0599836
+0.0615794
+0.0632109
+0.0648753
+0.0654744
+0.0658355
+0.0662671
+0.0913279
+0.0902403
+0.0887803
+0.0873508
+0.0859534
+0.0845896
+0.0832611
+0.0819697
+0.080717
+0.0795028
+0.0783243
+0.07719
+0.0756962
+0.0741485
+0.0726339
+0.0711546
+0.0697127
+0.0683106
+0.0669509
+0.0656362
+0.0643691
+0.0631527
+0.0619898
+0.0608835
+0.0598343
+0.058835
+0.0579013
+0.0570366
+0.0562439
+0.0555264
+0.054887
+0.0543285
+0.0538533
+0.0534638
+0.0531618
+0.0529487
+0.0528257
+0.0527935
+0.052844
+0.0529756
+0.0531972
+0.0535077
+0.0539054
+0.0543886
+0.0549549
+0.0556017
+0.0542715
+0.0529884
+0.0517662
+0.0506093
+0.0495224
+0.0484979
+0.0475453
+0.0466761
+0.0458951
+0.0452068
+0.0446156
+0.0441253
+0.0437394
+0.0427979
+0.041901
+0.0411013
+0.0404048
+0.0398167
+0.039342
+0.0389848
+0.0387483
+0.0386323
+0.0386188
+0.0387294
+0.0389631
+0.0393176
+0.0397897
+0.0403742
+0.0405466
+0.0407209
+0.0410116
+0.0414164
+0.0419315
+0.0425397
+0.0432499
+0.0440577
+0.0449578
+0.0459448
+0.0470133
+0.048154
+0.0493629
+0.0506378
+0.0519737
+0.0533662
+0.0548109
+0.0563037
+0.0578389
+0.0594115
+0.0610223
+0.0626683
+0.0643468
+0.0659735
+0.0663224
+0.066737
+0.0923626
+0.0917896
+0.0903546
+0.0889504
+0.0875785
+0.0862404
+0.0849378
+0.0836722
+0.0824454
+0.081251
+0.0800982
+0.0787126
+0.0771633
+0.0756456
+0.0741616
+0.0727134
+0.071303
+0.0699328
+0.0686053
+0.0673228
+0.0660881
+0.0649039
+0.063773
+0.0626982
+0.0616765
+0.0607075
+0.0598031
+0.0589662
+0.0581998
+0.0575067
+0.0568896
+0.0563509
+0.055893
+0.0555178
+0.055227
+0.0550219
+0.0549036
+0.0548725
+0.0549216
+0.0550483
+0.0552615
+0.0555604
+0.0559436
+0.0564093
+0.0569555
+0.0565253
+0.0552227
+0.0539776
+0.0527941
+0.0516764
+0.0506288
+0.0496559
+0.0487564
+0.0479285
+0.0470624
+0.0461511
+0.0453271
+0.0441769
+0.0431074
+0.0421065
+0.0411945
+0.0403809
+0.0396717
+0.0390726
+0.0385887
+0.0382244
+0.0379832
+0.0378649
+0.0378511
+0.037964
+0.0382023
+0.0385638
+0.0390451
+0.0396417
+0.039793
+0.0399706
+0.0402667
+0.0406789
+0.0412035
+0.0418218
+0.042544
+0.043365
+0.0442792
+0.0452796
+0.0463566
+0.0475102
+0.0487351
+0.0500259
+0.0513778
+0.052786
+0.0542461
+0.0557541
+0.0573061
+0.0588988
+0.0605289
+0.062193
+0.0638874
+0.0656094
+0.0668113
+0.0672267
+0.0934326
+0.0930465
+0.0919541
+0.0905748
+0.0892278
+0.0879149
+0.0866374
+0.085397
+0.08419
+0.0830202
+0.0817352
+0.0801844
+0.078664
+0.0771759
+0.0757219
+0.074304
+0.0729245
+0.0715853
+0.070289
+0.0690378
+0.0678343
+0.0666811
+0.0655808
+0.0645362
+0.0635407
+0.0626006
+0.0617239
+0.0609135
+0.0601719
+0.0595018
+0.0589056
+0.0583855
+0.0579436
+0.0575818
+0.0573015
+0.0571039
+0.0569898
+0.0569599
+0.0570076
+0.0571297
+0.0573352
+0.0576234
+0.0579929
+0.0584422
+0.058813
+0.0574788
+0.0561983
+0.0549753
+0.0536555
+0.0523104
+0.0510239
+0.0498006
+0.0486453
+0.0475628
+0.0465583
+0.045637
+0.0447821
+0.0436175
+0.042534
+0.0415193
+0.0405941
+0.0397682
+0.0390479
+0.038439
+0.0379471
+0.0375766
+0.0373312
+0.0372108
+0.0371968
+0.0373116
+0.0375541
+0.0379218
+0.0384111
+0.0390175
+0.0391475
+0.039328
+0.0396289
+0.0400476
+0.0405804
+0.0412081
+0.0419409
+0.0427734
+0.0436939
+0.0447018
+0.0457923
+0.0469598
+0.0481987
+0.0495035
+0.0508693
+0.0522912
+0.0537647
+0.0552858
+0.056849
+0.0584522
+0.0600925
+0.0617669
+0.0634727
+0.0652076
+0.0669353
+0.0677708
+0.0945163
+0.0941428
+0.0935777
+0.0922225
+0.0909
+0.0896116
+0.0883586
+0.08714
+0.0859546
+0.0847632
+0.0832112
+0.0816884
+0.0801965
+0.0787374
+0.0773127
+0.0759246
+0.074575
+0.0732661
+0.072
+0.0707791
+0.0696057
+0.0684823
+0.0674115
+0.0663956
+0.0654253
+0.0645126
+0.0636623
+0.0628768
+0.0621587
+0.0615102
+0.0609336
+0.060431
+0.0600042
+0.0596549
+0.0593843
+0.0591937
+0.0590837
+0.0590548
+0.0591013
+0.059219
+0.0594173
+0.0596954
+0.0600522
+0.0604862
+0.0591843
+0.0576513
+0.056162
+0.0547125
+0.0533041
+0.0519498
+0.0506542
+0.0494218
+0.0482573
+0.047166
+0.0461528
+0.0452232
+0.0443388
+0.0431623
+0.042067
+0.0410408
+0.0401046
+0.0392683
+0.0385387
+0.0379217
+0.0374229
+0.0370472
+0.0367983
+0.0366761
+0.0366619
+0.0367784
+0.0370244
+0.0373973
+0.0378934
+0.0385079
+0.0386156
+0.0387986
+0.0391036
+0.0395279
+0.0400676
+0.0406991
+0.0414332
+0.0422683
+0.0431984
+0.0442176
+0.0453198
+0.0464992
+0.04775
+0.0490668
+0.0504443
+0.0518779
+0.0533628
+0.0548939
+0.0564676
+0.0580813
+0.0597318
+0.061416
+0.0631314
+0.0648753
+0.0666256
+0.0681976
+0.095638
+0.0952689
+0.0949437
+0.0938925
+0.0925939
+0.0913293
+0.0900999
+0.0889
+0.0877384
+0.086243
+0.0847181
+0.0832229
+0.081759
+0.0803282
+0.0789323
+0.0775732
+0.0762528
+0.0749731
+0.0737364
+0.0725447
+0.0714003
+0.0703056
+0.069263
+0.0682736
+0.0673283
+0.0664418
+0.0656165
+0.0648547
+0.0641587
+0.0635306
+0.0629726
+0.0624864
+0.0620737
+0.0617361
+0.0614747
+0.0612905
+0.0611843
+0.0611564
+0.0612017
+0.0613154
+0.0615069
+0.0617756
+0.0621204
+0.0605263
+0.0589468
+0.0574075
+0.0559117
+0.054456
+0.0530408
+0.0516797
+0.0503771
+0.0491377
+0.0479664
+0.0468683
+0.0458486
+0.0449126
+0.0440002
+0.0428144
+0.04171
+0.0406748
+0.0397299
+0.0388857
+0.0381487
+0.0375252
+0.0370212
+0.0366413
+0.0363896
+0.0362661
+0.0362517
+0.0363695
+0.0366182
+0.0369952
+0.0374966
+0.0381175
+0.038194
+0.038379
+0.0386874
+0.0391161
+0.0396496
+0.0402839
+0.0410255
+0.0418687
+0.0428075
+0.0438358
+0.0449474
+0.0461363
+0.0473966
+0.048723
+0.05011
+0.0515528
+0.0530469
+0.0545868
+0.0561691
+0.0577912
+0.0594497
+0.0611417
+0.0628645
+0.0646157
+0.0663868
+0.0679643
+0.0967948
+0.0964204
+0.096091
+0.0955836
+0.0943082
+0.0930669
+0.0918555
+0.0906788
+0.0892794
+0.0877525
+0.0862543
+0.0847862
+0.0833498
+0.0819468
+0.0805789
+0.079248
+0.077956
+0.0767048
+0.0754964
+0.0743329
+0.0732165
+0.0721494
+0.0711337
+0.0701654
+0.0692459
+0.0683842
+0.0675826
+0.0668433
+0.0661682
+0.0655594
+0.0650187
+0.0645479
+0.0641485
+0.0638219
+0.0635691
+0.063391
+0.0632883
+0.0632614
+0.0633082
+0.0634181
+0.0636033
+0.0636489
+0.0619942
+0.0603737
+0.0587901
+0.0572466
+0.0557464
+0.0542867
+0.0528671
+0.0515014
+0.0501942
+0.0489502
+0.0477743
+0.0466716
+0.0456475
+0.0447074
+0.0437688
+0.0425766
+0.0414658
+0.0404243
+0.0394735
+0.0386236
+0.0378815
+0.0372536
+0.0367458
+0.0363631
+0.0361095
+0.035985
+0.0359705
+0.0360892
+0.0363398
+0.0367197
+0.0372248
+0.0378179
+0.0378783
+0.0380648
+0.0383756
+0.0388079
+0.0393455
+0.0399846
+0.0407317
+0.0415808
+0.042526
+0.0435609
+0.0446793
+0.0458752
+0.0471425
+0.0484758
+0.0498697
+0.0513193
+0.05282
+0.0543664
+0.0559549
+0.057583
+0.0592473
+0.060945
+0.0626732
+0.0644296
+0.0662118
+0.0678011
+0.0979694
+0.0975995
+0.0972742
+0.0969911
+0.0960419
+0.0948201
+0.0936294
+0.0923199
+0.0907913
+0.0892903
+0.0878183
+0.0863768
+0.0849673
+0.0835914
+0.0822509
+0.0809475
+0.0796831
+0.0784594
+0.0772784
+0.0761422
+0.0750527
+0.0740121
+0.0730223
+0.072074
+0.0711791
+0.0703412
+0.0695621
+0.068844
+0.0681887
+0.0675981
+0.0670739
+0.0666176
+0.0662307
+0.0659144
+0.0656696
+0.0654973
+0.0653979
+0.0653718
+0.0654191
+0.0655266
+0.0652673
+0.0635793
+0.0619228
+0.0603003
+0.0587148
+0.0571692
+0.0556591
+0.0541889
+0.0527687
+0.0514027
+0.0500952
+0.048851
+0.0476751
+0.0465703
+0.0455436
+0.0446009
+0.0436463
+0.0424506
+0.0413316
+0.0402831
+0.0393289
+0.0384758
+0.0377308
+0.0371004
+0.0365904
+0.0362061
+0.0359513
+0.0358153
+0.0358007
+0.03592
+0.0361719
+0.0365535
+0.0370608
+0.0376268
+0.0376874
+0.0378748
+0.0381873
+0.0386216
+0.0391618
+0.0398039
+0.0405542
+0.041407
+0.0423561
+0.043395
+0.0445176
+0.0457177
+0.0469893
+0.0483268
+0.0497249
+0.0511786
+0.0526833
+0.0542336
+0.0558259
+0.0574576
+0.0591255
+0.0608265
+0.062558
+0.0643175
+0.0661028
+0.0677084
+0.0991785
+0.0988132
+0.0984918
+0.0982122
+0.097793
+0.0965892
+0.0953641
+0.093834
+0.0923304
+0.0908549
+0.0894086
+0.0879932
+0.08661
+0.0852606
+0.0839468
+0.0826701
+0.0814324
+0.0802354
+0.079081
+0.077971
+0.0769075
+0.0758922
+0.0749234
+0.0739982
+0.0731269
+0.0723115
+0.0715539
+0.070856
+0.0702195
+0.0696461
+0.0691374
+0.0686949
+0.0683197
+0.0680131
+0.0677759
+0.0676089
+0.0675127
+0.0674874
+0.0675332
+0.06699
+0.065273
+0.0635851
+0.0619288
+0.0603065
+0.0587211
+0.0571657
+0.0556491
+0.0541786
+0.0527582
+0.0513918
+0.0500841
+0.0488396
+0.0476634
+0.0465584
+0.0455314
+0.0445885
+0.0436335
+0.0424323
+0.0412957
+0.0402463
+0.0392911
+0.0384372
+0.0376915
+0.0370604
+0.0365499
+0.0361651
+0.0359101
+0.0357739
+0.0357593
+0.0358787
+0.0361308
+0.0365128
+0.0370208
+0.0375626
+0.0376233
+0.0378111
+0.038124
+0.0385591
+0.0391002
+0.0397432
+0.0404947
+0.0413487
+0.0422991
+0.0433394
+0.0444634
+0.0456649
+0.0469379
+0.0482769
+0.0496764
+0.0511314
+0.0526375
+0.054189
+0.0557826
+0.0574156
+0.0590846
+0.0607868
+0.0625194
+0.06428
+0.0660663
+0.0676808
+0.100421
+0.10006
+0.0997427
+0.0994667
+0.0992382
+0.0983753
+0.0968801
+0.0953743
+0.0938955
+0.0924449
+0.0910239
+0.0896339
+0.0882764
+0.086953
+0.0856651
+0.0844144
+0.0832027
+0.0820315
+0.0809027
+0.0798181
+0.0787795
+0.0777887
+0.0768387
+0.0759368
+0.075088
+0.0742942
+0.073557
+0.0728783
+0.0722596
+0.0717025
+0.0712085
+0.0707789
+0.0704149
+0.0701174
+0.0698874
+0.0697254
+0.0696321
+0.0696076
+0.0688043
+0.0670627
+0.065348
+0.0636625
+0.0620087
+0.060389
+0.0587971
+0.0572399
+0.0557253
+0.0542569
+0.0528385
+0.0514743
+0.0501687
+0.0489264
+0.0477523
+0.0466494
+0.0456244
+0.0446835
+0.0437094
+0.0425104
+0.0413759
+0.0403286
+0.0393754
+0.0385234
+0.0377793
+0.0371497
+0.0366405
+0.0362566
+0.0360023
+0.0358664
+0.0358519
+0.035971
+0.0362225
+0.0366035
+0.0371102
+0.0376248
+0.0376854
+0.0378729
+0.0381853
+0.0386197
+0.0391612
+0.0398032
+0.0405536
+0.0414064
+0.0423555
+0.0433944
+0.0445171
+0.0457171
+0.0469888
+0.0483263
+0.0497244
+0.0511781
+0.0526828
+0.0542331
+0.0558254
+0.0574571
+0.059125
+0.0608261
+0.0625576
+0.0643171
+0.0661024
+0.067716
+0.101695
+0.101339
+0.101026
+0.100753
+0.100528
+0.0999295
+0.0984215
+0.0969397
+0.0954851
+0.094059
+0.0926628
+0.0912978
+0.0899654
+0.0886672
+0.0874045
+0.0861791
+0.0849925
+0.0838463
+0.0827423
+0.0816821
+0.0806675
+0.0796984
+0.0787684
+0.0778888
+0.0770615
+0.0762882
+0.0755705
+0.07491
+0.0743082
+0.0737667
+0.0732866
+0.0728692
+0.0725157
+0.0722269
+0.0720036
+0.0718464
+0.0717558
+0.070699
+0.0689356
+0.0671973
+0.0654861
+0.0638043
+0.0621542
+0.0605385
+0.0589507
+0.0573976
+0.0558873
+0.0544233
+0.0530093
+0.0516497
+0.0503486
+0.0491109
+0.0479413
+0.0468428
+0.0458222
+0.0448854
+0.0438946
+0.0427008
+0.0415715
+0.0405293
+0.039581
+0.0387335
+0.0379935
+0.0373675
+0.0368613
+0.0364798
+0.0362269
+0.0360919
+0.0360775
+0.0361959
+0.0364458
+0.0368245
+0.0373282
+0.0377907
+0.0378511
+0.0380378
+0.0383488
+0.0387814
+0.0393313
+0.0399766
+0.0407238
+0.0415731
+0.0425185
+0.0435535
+0.0446722
+0.0458682
+0.0471358
+0.0484692
+0.0498633
+0.0513131
+0.0528139
+0.0543616
+0.0559524
+0.0575821
+0.0592464
+0.0609441
+0.0626724
+0.0644288
+0.0662111
+0.067822
+0.102994
+0.102649
+0.102337
+0.102068
+0.101846
+0.101472
+0.0999872
+0.0985289
+0.0970981
+0.0956961
+0.0943241
+0.0929835
+0.0916756
+0.0904019
+0.0891639
+0.087963
+0.0868007
+0.0856788
+0.0845987
+0.083562
+0.0825705
+0.0816193
+0.0807113
+0.0798532
+0.0790465
+0.0782928
+0.0775936
+0.0769505
+0.0763648
+0.0758379
+0.075371
+0.0749653
+0.0746216
+0.074341
+0.0741241
+0.0739714
+0.0726764
+0.0708944
+0.069136
+0.0674029
+0.0656971
+0.0640208
+0.0623765
+0.0607666
+0.059185
+0.0576383
+0.0561344
+0.054677
+0.0532698
+0.0519169
+0.0506227
+0.0493919
+0.0482291
+0.0471373
+0.0461232
+0.0451927
+0.0441879
+0.0430022
+0.041881
+0.0408467
+0.0399059
+0.0390654
+0.0383319
+0.0377115
+0.0372099
+0.036832
+0.0365817
+0.036448
+0.0364337
+0.0365509
+0.0367984
+0.0371736
+0.0376726
+0.0380822
+0.0381421
+0.0383273
+0.0386361
+0.0390654
+0.0396109
+0.0402458
+0.040988
+0.041832
+0.0427716
+0.0438007
+0.0449132
+0.0461029
+0.0473642
+0.0486914
+0.0500793
+0.051523
+0.0530179
+0.0545599
+0.056145
+0.0577696
+0.0594307
+0.0611251
+0.0628502
+0.0646035
+0.0663828
+0.0679985
+0.104106
+0.103875
+0.103672
+0.103406
+0.103187
+0.103013
+0.101576
+0.100141
+0.0987334
+0.0973549
+0.0960066
+0.0946899
+0.0934059
+0.0921561
+0.090942
+0.0897648
+0.0886262
+0.0875277
+0.0864707
+0.0854567
+0.0844872
+0.0835534
+0.0826667
+0.0818291
+0.0810421
+0.0803071
+0.0796256
+0.078999
+0.0784286
+0.0779157
+0.0774613
+0.0770666
+0.0767324
+0.0764595
+0.0762486
+0.0747299
+0.0729323
+0.0711568
+0.069405
+0.0676788
+0.0659801
+0.0643112
+0.0626745
+0.0610725
+0.0594991
+0.0579607
+0.0564655
+0.0550168
+0.0536185
+0.0522746
+0.0509869
+0.0497624
+0.0486058
+0.0475221
+0.0465164
+0.0455939
+0.0445869
+0.0434121
+0.0423018
+0.041278
+0.0403473
+0.0395162
+0.0387912
+0.0381783
+0.037683
+0.0373099
+0.0370627
+0.0369308
+0.0369166
+0.0370323
+0.0372766
+0.037647
+0.0381399
+0.0384963
+0.0385555
+0.0387388
+0.0390443
+0.0394692
+0.0400026
+0.0406314
+0.0413667
+0.0422031
+0.0431347
+0.0441553
+0.0452591
+0.04644
+0.0476923
+0.0490106
+0.0503898
+0.0518248
+0.0533113
+0.0548449
+0.056422
+0.058039
+0.0596925
+0.0613797
+0.0630978
+0.0648444
+0.0666173
+0.0682449
+0.105248
+0.105018
+0.104834
+0.104695
+0.104556
+0.104385
+0.103187
+0.101774
+0.10039
+0.0990344
+0.0977093
+0.0964158
+0.0951551
+0.0939287
+0.0927377
+0.0915837
+0.090468
+0.089392
+0.0883573
+0.0873653
+0.0864131
+0.0854999
+0.0846336
+0.0838157
+0.0830474
+0.0823304
+0.0816658
+0.081055
+0.0804991
+0.0799995
+0.079557
+0.0791727
+0.0788474
+0.0785819
+0.0768535
+0.0750428
+0.0732529
+0.0714854
+0.0697418
+0.0680241
+0.0663343
+0.0646746
+0.0630473
+0.061455
+0.0598917
+0.0583637
+0.0568782
+0.055438
+0.0540482
+0.0527128
+0.0514361
+0.0502225
+0.0490768
+0.0480037
+0.0470083
+0.0460956
+0.045089
+0.0439276
+0.0428307
+0.0418198
+0.0409015
+0.0400819
+0.0393673
+0.0387635
+0.0382757
+0.0379084
+0.0376652
+0.0375354
+0.0375215
+0.0376353
+0.0378757
+0.0382403
+0.0387256
+0.0390291
+0.0390875
+0.0392683
+0.0395697
+0.0399891
+0.0405092
+0.0411302
+0.0418568
+0.0426836
+0.0436049
+0.0446148
+0.0457074
+0.046877
+0.048118
+0.049425
+0.0507929
+0.0522168
+0.0536924
+0.0552155
+0.0567823
+0.0583893
+0.0600332
+0.061711
+0.0634202
+0.0651582
+0.0669228
+0.0685604
+0.106418
+0.106191
+0.106009
+0.105872
+0.105773
+0.105718
+0.104819
+0.103429
+0.102066
+0.100734
+0.0994311
+0.0981603
+0.0969223
+0.0957185
+0.0945501
+0.0934184
+0.0923249
+0.0912709
+0.0902577
+0.0892868
+0.0883509
+0.087458
+0.0866113
+0.0858122
+0.085062
+0.084362
+0.0837136
+0.0831178
+0.0825759
+0.0820888
+0.0816577
+0.0812833
+0.0808813
+0.0790415
+0.07722
+0.0754181
+0.0736374
+0.0718792
+0.0701455
+0.0684379
+0.0667586
+0.0651097
+0.0634935
+0.0619125
+0.0603577
+0.0588396
+0.0573649
+0.0559372
+0.0545601
+0.0532376
+0.0519738
+0.0507731
+0.04964
+0.0485794
+0.0475961
+0.0466949
+0.0456907
+0.044545
+0.0434637
+0.0424679
+0.0415638
+0.0407576
+0.040055
+0.0394617
+0.0389827
+0.0386222
+0.0383835
+0.0382561
+0.0382424
+0.0383541
+0.0385901
+0.038948
+0.0394246
+0.0396759
+0.0397334
+0.0399112
+0.0402078
+0.0406206
+0.0411264
+0.0417383
+0.0424544
+0.0432698
+0.0441788
+0.0451759
+0.0462553
+0.0474114
+0.0486388
+0.0499321
+0.0512864
+0.0526971
+0.0541596
+0.0556699
+0.0572243
+0.0588191
+0.0604513
+0.0621179
+0.0638162
+0.0655437
+0.0672982
+0.0689442
+0.10762
+0.107396
+0.107216
+0.107081
+0.106984
+0.106929
+0.106471
+0.105102
+0.103762
+0.102451
+0.101171
+0.0999224
+0.0987065
+0.0975247
+0.0963782
+0.0952683
+0.0941962
+0.0931633
+0.092171
+0.0912169
+0.0903003
+0.0894268
+0.0885989
+0.0878179
+0.087085
+0.0864015
+0.0857684
+0.085187
+0.0846583
+0.0841834
+0.083763
+0.0831364
+0.0812886
+0.0794583
+0.0776465
+0.0758546
+0.0740839
+0.0723363
+0.0706133
+0.068917
+0.0672492
+0.0656122
+0.0640082
+0.0624395
+0.0608954
+0.059391
+0.0579304
+0.056517
+0.0551544
+0.0538465
+0.0525973
+0.0514111
+0.0502925
+0.0492459
+0.0482762
+0.0473879
+0.0463881
+0.0452601
+0.0441963
+0.0432174
+0.0423293
+0.0415379
+0.0408488
+0.0402672
+0.0397979
+0.0394448
+0.0392111
+0.0390864
+0.0390731
+0.0391824
+0.0394134
+0.0397639
+0.0402308
+0.0404252
+0.0404817
+0.0406562
+0.0409474
+0.0413528
+0.0418493
+0.0424507
+0.0431551
+0.0439575
+0.0448526
+0.045835
+0.0468992
+0.0480398
+0.0492515
+0.0505292
+0.0518679
+0.0532632
+0.0547106
+0.0562061
+0.057746
+0.0593269
+0.0609455
+0.0625989
+0.0642845
+0.0659997
+0.0677423
+0.0693949
+0.108853
+0.108631
+0.108453
+0.10832
+0.108225
+0.108171
+0.108142
+0.106795
+0.105476
+0.104187
+0.102928
+0.101701
+0.100507
+0.0993464
+0.0982211
+0.0971323
+0.096081
+0.0950686
+0.0940964
+0.0931578
+0.0922605
+0.0914058
+0.090596
+0.0898323
+0.089116
+0.0884481
+0.0878298
+0.0872622
+0.0867462
+0.0862827
+0.0854432
+0.0835886
+0.0817507
+0.0799305
+0.0781294
+0.0763486
+0.0745897
+0.0728542
+0.0711438
+0.0694604
+0.067806
+0.0661827
+0.064593
+0.0630366
+0.0615065
+0.0600175
+0.0585725
+0.0571749
+0.0558284
+0.0545366
+0.0533036
+0.0521335
+0.0510307
+0.0499996
+0.0490447
+0.0481706
+0.0471771
+0.0460684
+0.0450237
+0.0440631
+0.0431925
+0.0424172
+0.0417426
+0.0411736
+0.0407147
+0.0403697
+0.0401414
+0.0400196
+0.0400065
+0.0401133
+0.040339
+0.0406815
+0.041138
+0.0412634
+0.0413187
+0.0414898
+0.0417752
+0.0421726
+0.0426726
+0.0432625
+0.0439539
+0.0447419
+0.0456217
+0.0465879
+0.0476353
+0.0487587
+0.0499529
+0.0512131
+0.0525344
+0.0539124
+0.0553428
+0.0568217
+0.0583454
+0.0599104
+0.0615137
+0.0631522
+0.0648234
+0.0665247
+0.068254
+0.0699115
+0.110115
+0.109896
+0.109721
+0.109588
+0.109497
+0.109443
+0.109434
+0.108505
+0.107208
+0.105939
+0.104702
+0.103496
+0.102322
+0.101183
+0.100078
+0.0990096
+0.0979785
+0.0969859
+0.0960298
+0.0951096
+0.0942308
+0.0933942
+0.0926018
+0.0918548
+0.0911544
+0.0905015
+0.0898974
+0.0893428
+0.0888389
+0.0877975
+0.0859379
+0.0840943
+0.0822676
+0.0804592
+0.0786702
+0.0769019
+0.0751559
+0.0734338
+0.0717372
+0.0700681
+0.0684284
+0.0668202
+0.065246
+0.0637024
+0.0621888
+0.0607165
+0.0592886
+0.0579083
+0.0565792
+0.055305
+0.0540895
+0.0529368
+0.0518511
+0.0508366
+0.0498977
+0.0490389
+0.048053
+0.046965
+0.0459407
+0.0449997
+0.0441476
+0.0433893
+0.0427301
+0.0421744
+0.0417266
+0.0413899
+0.0411673
+0.0410485
+0.0410358
+0.0411399
+0.04136
+0.0416941
+0.0421397
+0.0421988
+0.0422529
+0.0424202
+0.0426994
+0.0430882
+0.0435839
+0.0441682
+0.0448456
+0.0456182
+0.0464813
+0.04743
+0.0484592
+0.049564
+0.0507393
+0.0519804
+0.0532827
+0.0546418
+0.0560536
+0.0575142
+0.05902
+0.0605676
+0.0621539
+0.063776
+0.0654313
+0.0671172
+0.0688316
+0.0704924
+0.111407
+0.11119
+0.111017
+0.110886
+0.110797
+0.110744
+0.110735
+0.110232
+0.108955
+0.107708
+0.106491
+0.105305
+0.104152
+0.103033
+0.101948
+0.1009
+0.099888
+0.0989146
+0.0979734
+0.0970716
+0.0962108
+0.0953914
+0.0946158
+0.0938848
+0.0931996
+0.0925612
+0.0919706
+0.0914287
+0.0901969
+0.0883334
+0.0864854
+0.0846536
+0.0828393
+0.0810436
+0.0792678
+0.0775132
+0.0757813
+0.0740737
+0.0723921
+0.0707384
+0.0691139
+0.0675176
+0.0659555
+0.0644294
+0.0629333
+0.0614788
+0.060069
+0.0587071
+0.0573965
+0.0561408
+0.0549438
+0.0538094
+0.0527417
+0.0517447
+0.0508226
+0.0499796
+0.0490113
+0.047945
+0.0469421
+0.0460216
+0.0451887
+0.0444481
+0.0438045
+0.0432623
+0.0428252
+0.0424966
+0.042279
+0.0421649
+0.0421526
+0.0422539
+0.0424682
+0.0427937
+0.0432277
+0.0432251
+0.0432779
+0.0434413
+0.0437139
+0.0440938
+0.0445783
+0.0451619
+0.0458247
+0.0465811
+0.0474267
+0.0483569
+0.0493668
+0.0504516
+0.0516067
+0.0528274
+0.0541094
+0.0554482
+0.05684
+0.0582809
+0.0597674
+0.0612961
+0.062864
+0.0644683
+0.0661062
+0.0677753
+0.0694735
+0.071136
+0.112726
+0.112512
+0.112341
+0.112211
+0.112124
+0.112072
+0.112063
+0.111976
+0.110719
+0.109492
+0.108295
+0.107129
+0.105996
+0.104896
+0.103831
+0.102802
+0.101809
+0.100851
+0.0999272
+0.0990432
+0.0981996
+0.097397
+0.0966375
+0.0959219
+0.0952514
+0.0946268
+0.0940492
+0.0926377
+0.0907715
+0.0889201
+0.0870845
+0.0852656
+0.0834646
+0.0816827
+0.079921
+0.0781811
+0.0764643
+0.0747724
+0.073105
+0.0714636
+0.0698523
+0.0682733
+0.0667289
+0.0652208
+0.0637434
+0.0623078
+0.0609171
+0.0595746
+0.0582835
+0.0570474
+0.0558698
+0.0547546
+0.0537057
+0.0527269
+0.0518223
+0.0509958
+0.0500465
+0.0489889
+0.048007
+0.0471066
+0.0462924
+0.045569
+0.0449409
+0.0444121
+0.0439862
+0.0436661
+0.0434543
+0.0433429
+0.0433309
+0.0434295
+0.043638
+0.0439548
+0.0443777
+0.044336
+0.0443875
+0.0445467
+0.0448126
+0.0451833
+0.0456563
+0.0462282
+0.0468858
+0.0476254
+0.0484528
+0.0493636
+0.0503533
+0.0514173
+0.0525512
+0.0537505
+0.0550109
+0.0563283
+0.0576989
+0.0591189
+0.0605848
+0.0620934
+0.0636417
+0.0652268
+0.0668461
+0.0684973
+0.0701779
+0.0718407
+0.114072
+0.113861
+0.113691
+0.113564
+0.113477
+0.113426
+0.113417
+0.11345
+0.112498
+0.11129
+0.110112
+0.108966
+0.107852
+0.106772
+0.105726
+0.104715
+0.10374
+0.102797
+0.101891
+0.101024
+0.100197
+0.0994104
+0.0986663
+0.0979656
+0.0973092
+0.0966979
+0.0951168
+0.0932487
+0.091395
+0.0895565
+0.0877342
+0.0859291
+0.0841423
+0.082375
+0.0806285
+0.0789042
+0.0772007
+0.0755212
+0.0738685
+0.0722444
+0.070651
+0.0690902
+0.0675644
+0.0660755
+0.0646176
+0.0632018
+0.0618313
+0.0605091
+0.0592384
+0.0580226
+0.0568652
+0.0557699
+0.0547404
+0.0537805
+0.0528939
+0.0520844
+0.0511382
+0.0501026
+0.049143
+0.0482638
+0.0474694
+0.0467643
+0.0461525
+0.0456377
+0.0452233
+0.0449121
+0.0447061
+0.0445974
+0.0445857
+0.0446816
+0.0448843
+0.0451923
+0.0455805
+0.0455252
+0.0455753
+0.0457305
+0.0459896
+0.0463508
+0.046812
+0.04737
+0.0480215
+0.0487458
+0.0495545
+0.0504454
+0.0514143
+0.0524568
+0.0535687
+0.0547457
+0.0559837
+0.0572787
+0.0586271
+0.0600251
+0.0614694
+0.0629569
+0.0644844
+0.0660493
+0.0676489
+0.0692809
+0.070943
+0.0726047
+0.115444
+0.115235
+0.115068
+0.114942
+0.114856
+0.114806
+0.114797
+0.114829
+0.114291
+0.113102
+0.111944
+0.110816
+0.109721
+0.108659
+0.107631
+0.106639
+0.105679
+0.104752
+0.103863
+0.103013
+0.102202
+0.101431
+0.100702
+0.100016
+0.0993727
+0.0976312
+0.0957621
+0.0939069
+0.0920665
+0.0902417
+0.0884335
+0.0866429
+0.0848712
+0.0831192
+0.0813852
+0.0796734
+0.0779857
+0.0763234
+0.0746885
+0.0730826
+0.0715078
+0.0699662
+0.0684599
+0.0669909
+0.0655533
+0.0641582
+0.0628086
+0.0615074
+0.0602577
+0.0590629
+0.0579263
+0.0568515
+0.0558419
+0.0549012
+0.0540331
+0.0532409
+0.052298
+0.0512858
+0.0503487
+0.0494909
+0.0487166
+0.0480298
+0.0474343
+0.0469336
+0.0465307
+0.0462283
+0.0460282
+0.0459222
+0.0459109
+0.046004
+0.0462008
+0.0465002
+0.0468406
+0.0467869
+0.0468356
+0.0469866
+0.0472388
+0.0475906
+0.0480398
+0.0485838
+0.0492193
+0.0499372
+0.0507269
+0.0515976
+0.0525452
+0.0535657
+0.0546551
+0.0558092
+0.0570241
+0.058296
+0.0596214
+0.0609966
+0.0624185
+0.0638838
+0.0653897
+0.0669334
+0.0685124
+0.0701243
+0.0717669
+0.0734261
+0.116841
+0.116635
+0.116469
+0.116345
+0.11626
+0.11621
+0.116201
+0.116234
+0.116097
+0.114927
+0.113787
+0.112679
+0.111602
+0.110558
+0.109548
+0.108573
+0.107627
+0.106717
+0.105844
+0.10501
+0.104215
+0.103459
+0.102744
+0.102061
+0.100178
+0.0983089
+0.0964529
+0.0946113
+0.0927848
+0.0909744
+0.0891811
+0.0874049
+0.0856454
+0.0839062
+0.0821885
+0.0804939
+0.0788237
+0.0771795
+0.0755631
+0.0739762
+0.0724208
+0.070899
+0.069413
+0.0679646
+0.0665481
+0.0651743
+0.0638461
+0.0625665
+0.0613384
+0.0601651
+0.0590497
+0.0579957
+0.0570064
+0.0560852
+0.0552357
+0.054461
+0.0535223
+0.0525338
+0.0516193
+0.050783
+0.0500286
+0.0493601
+0.0487808
+0.0482941
+0.0479027
+0.047609
+0.0474147
+0.0473114
+0.0473004
+0.0473908
+0.0475819
+0.0478726
+0.0481672
+0.048115
+0.0481624
+0.0483092
+0.0485545
+0.0488969
+0.0493342
+0.049864
+0.0504834
+0.0511891
+0.0519653
+0.0528155
+0.0537417
+0.0547399
+0.0558063
+0.0569371
+0.0581285
+0.0593768
+0.0606785
+0.0620303
+0.063429
+0.0648715
+0.066355
+0.0678768
+0.0694343
+0.0710253
+0.0726475
+0.0742989
+0.118262
+0.118058
+0.117895
+0.117772
+0.117688
+0.117639
+0.11763
+0.117662
+0.117735
+0.116765
+0.115643
+0.114553
+0.113494
+0.112467
+0.111475
+0.110514
+0.109584
+0.10869
+0.107833
+0.107015
+0.106234
+0.105493
+0.104638
+0.102756
+0.100887
+0.0990304
+0.0971882
+0.0953608
+0.0935489
+0.0917518
+0.0899706
+0.0882079
+0.0864647
+0.0847423
+0.0830419
+0.081365
+0.0797131
+0.0780877
+0.0764904
+0.0749232
+0.0733879
+0.0718866
+0.0704214
+0.0689941
+0.0675992
+0.0662472
+0.064941
+0.0636834
+0.0624772
+0.0613257
+0.0602318
+0.0591989
+0.05823
+0.0573285
+0.0564977
+0.0557406
+0.0548069
+0.0538419
+0.0529501
+0.0521351
+0.0514006
+0.0507501
+0.0501869
+0.0497139
+0.0493338
+0.0490486
+0.0488601
+0.0487595
+0.0487488
+0.0488365
+0.049022
+0.0493042
+0.0495532
+0.0495024
+0.0495485
+0.0496912
+0.0499297
+0.0502627
+0.0506883
+0.0512041
+0.0518074
+0.0524954
+0.0532646
+0.0540948
+0.0549995
+0.0559753
+0.0570186
+0.0581257
+0.0592932
+0.0605175
+0.0617952
+0.0631231
+0.0644981
+0.0659172
+0.0673777
+0.0688769
+0.0704123
+0.0719817
+0.0735828
+0.0752136
+0.119706
+0.119505
+0.119343
+0.119222
+0.11914
+0.119091
+0.119082
+0.119114
+0.119185
+0.118615
+0.117511
+0.116438
+0.115396
+0.114387
+0.113411
+0.112463
+0.111549
+0.110671
+0.10983
+0.109027
+0.108261
+0.107242
+0.105361
+0.103493
+0.101637
+0.0997948
+0.097967
+0.0961518
+0.0943519
+0.0925689
+0.0908037
+0.0890575
+0.0873313
+0.0856263
+0.0839438
+0.0822853
+0.0806522
+0.0790461
+0.0774686
+0.0759216
+0.0744069
+0.0729266
+0.0714827
+0.0700771
+0.0687041
+0.0673743
+0.0660904
+0.064855
+0.0636711
+0.0625416
+0.0614693
+0.0604575
+0.0595091
+0.0586273
+0.0578151
+0.0570755
+0.0561475
+0.055206
+0.0543366
+0.0535427
+0.0528278
+0.0521951
+0.0516477
+0.0511882
+0.0508191
+0.0505423
+0.0503594
+0.0502614
+0.050251
+0.050336
+0.050516
+0.05079
+0.0509956
+0.0509463
+0.0509911
+0.0511298
+0.0513616
+0.0516853
+0.0520993
+0.0526013
+0.0531888
+0.0538591
+0.0546091
+0.0554312
+0.0563144
+0.0572678
+0.0582879
+0.0593715
+0.0605149
+0.061715
+0.0629684
+0.064272
+0.0656229
+0.0670183
+0.0684552
+0.0699313
+0.0714441
+0.0729913
+0.0745707
+0.0761804
+0.121173
+0.120974
+0.120814
+0.120694
+0.120613
+0.120565
+0.120556
+0.120587
+0.120658
+0.120476
+0.119389
+0.118333
+0.117308
+0.116316
+0.115354
+0.114421
+0.113523
+0.112661
+0.111834
+0.111045
+0.109872
+0.107993
+0.106125
+0.10427
+0.102428
+0.100598
+0.0987818
+0.0969813
+0.0951971
+0.0934302
+0.0916816
+0.0899524
+0.0882437
+0.0865567
+0.0848927
+0.0832531
+0.0816393
+0.080053
+0.0784958
+0.0769694
+0.0754758
+0.0740168
+0.0725946
+0.0712109
+0.0698603
+0.0685529
+0.0672915
+0.0660786
+0.064917
+0.0638095
+0.0627589
+0.0617682
+0.0608403
+0.059978
+0.0591844
+0.0584621
+0.0575404
+0.0566221
+0.0557747
+0.0550016
+0.0543059
+0.0536906
+0.0531586
+0.0527123
+0.0523539
+0.0520853
+0.0519078
+0.0518123
+0.0518023
+0.0518848
+0.0520594
+0.0523253
+0.0524899
+0.0524419
+0.0524854
+0.0526202
+0.0528455
+0.0531602
+0.0535627
+0.0540511
+0.0546231
+0.055276
+0.056007
+0.0568132
+0.0576825
+0.0586137
+0.0596108
+0.0606707
+0.0617901
+0.0629659
+0.0641949
+0.0654741
+0.0668007
+0.0681719
+0.0695851
+0.0710377
+0.0725274
+0.074052
+0.0756093
+0.0771973
+0.1072
+0.105948
+0.104726
+0.103535
+0.102364
+0.101102
+0.0998728
+0.0986762
+0.0975076
+0.0963746
+0.0952428
+0.0941289
+0.0930469
+0.0920044
+0.0910026
+0.0900105
+0.0890008
+0.088008
+0.0870263
+0.0860836
+0.0851869
+0.0843375
+0.083537
+0.082772
+0.081981
+0.0812088
+0.0804648
+0.0797054
+0.0789995
+0.0780985
+0.0770934
+0.076138
+0.0752342
+0.0743499
+0.0735169
+0.0727404
+0.0720217
+0.0713506
+0.0707409
+0.0701943
+0.0697059
+0.069037
+0.0681985
+0.0674207
+0.0667055
+0.0660419
+0.0654447
+0.0648319
+0.0642282
+0.0636911
+0.0632138
+0.0627979
+0.0621852
+0.0612964
+0.060474
+0.0597206
+0.059039
+0.0584316
+0.0579007
+0.0574486
+0.0570754
+0.0567696
+0.0563766
+0.0559898
+0.0556866
+0.0554682
+0.0553358
+0.05529
+0.0552703
+0.0549453
+0.0546428
+0.0544207
+0.0542788
+0.0541757
+0.0541456
+0.0541906
+0.0543241
+0.0545123
+0.0547593
+0.0550873
+0.0554378
+0.0558324
+0.0563095
+0.056493
+0.0566269
+0.056845
+0.0571463
+0.0575296
+0.0579859
+0.058512
+0.0591146
+0.0597915
+0.0605401
+0.0613578
+0.0622419
+0.0631896
+0.0641981
+0.0652646
+0.0663863
+0.0675604
+0.105943
+0.104675
+0.103439
+0.102234
+0.101061
+0.0998734
+0.0986285
+0.0974169
+0.0962391
+0.095091
+0.093979
+0.0928536
+0.0917616
+0.0907043
+0.0896881
+0.0887143
+0.0877049
+0.0867237
+0.0857347
+0.0847813
+0.0838707
+0.0830079
+0.0821944
+0.0814317
+0.080664
+0.0798791
+0.079147
+0.0783868
+0.0776676
+0.0768962
+0.0758751
+0.0749042
+0.0739854
+0.0730859
+0.0722384
+0.071448
+0.0707166
+0.0700438
+0.0694227
+0.0688657
+0.0680405
+0.0671181
+0.0662553
+0.0654545
+0.0647179
+0.0640384
+0.0634223
+0.0627683
+0.0621446
+0.0615924
+0.0610994
+0.0606722
+0.0603148
+0.0594853
+0.0586375
+0.0578603
+0.0571564
+0.0565288
+0.0559799
+0.0555121
+0.0551274
+0.0548122
+0.0545119
+0.0541118
+0.053798
+0.0535719
+0.0534348
+0.0533873
+0.05328
+0.0529428
+0.0526401
+0.0524095
+0.0522561
+0.0521614
+0.0521301
+0.0521769
+0.0523154
+0.0525109
+0.0527663
+0.0531033
+0.0534584
+0.0538675
+0.0543618
+0.0545916
+0.0547302
+0.0549558
+0.0552675
+0.0556636
+0.0561404
+0.0566836
+0.0573054
+0.0580034
+0.0587748
+0.0596167
+0.0605262
+0.0615004
+0.0625362
+0.0636305
+0.0647805
+0.0659832
+0.104716
+0.103433
+0.102182
+0.100962
+0.0997754
+0.0986218
+0.0974175
+0.0961907
+0.0949985
+0.093841
+0.092715
+0.0916066
+0.0905048
+0.089439
+0.0884082
+0.0874202
+0.086445
+0.0854494
+0.0844781
+0.0835145
+0.0825916
+0.0817153
+0.0808888
+0.0801137
+0.079364
+0.078583
+0.0778388
+0.0771063
+0.076375
+0.0757001
+0.0747012
+0.0737149
+0.072781
+0.0718665
+0.0710044
+0.0702001
+0.0694556
+0.0687705
+0.0681378
+0.0671723
+0.0661653
+0.0652163
+0.064328
+0.0635029
+0.0627434
+0.0620474
+0.0614114
+0.0607107
+0.0600686
+0.0594973
+0.0589905
+0.0585511
+0.0581807
+0.0577006
+0.0568262
+0.0560238
+0.0552966
+0.0546476
+0.0540796
+0.0535952
+0.0531967
+0.052873
+0.052634
+0.0522581
+0.0519331
+0.0516989
+0.0515568
+0.0515076
+0.0513061
+0.0509558
+0.0506529
+0.0504113
+0.0502475
+0.0501618
+0.0501292
+0.0501779
+0.050322
+0.0505252
+0.0507895
+0.0511292
+0.0514961
+0.0519206
+0.0524334
+0.0527127
+0.0528562
+0.0530898
+0.0534123
+0.0538221
+0.0543173
+0.0548817
+0.0555237
+0.0562438
+0.057039
+0.0579061
+0.0588421
+0.0598437
+0.0609077
+0.0620307
+0.0632098
+0.0644418
+0.103521
+0.102223
+0.100957
+0.0997222
+0.0985209
+0.0973536
+0.0962208
+0.0949991
+0.0937918
+0.0926207
+0.091485
+0.0903828
+0.0892755
+0.0881989
+0.0871641
+0.0861623
+0.0852046
+0.0842127
+0.0832481
+0.0822823
+0.0813513
+0.0804616
+0.0796221
+0.0788345
+0.0781005
+0.0773271
+0.0765707
+0.0758674
+0.0751241
+0.0744378
+0.0735739
+0.0725722
+0.0716235
+0.070694
+0.0698174
+0.0689993
+0.0682417
+0.0675443
+0.0664373
+0.0653455
+0.0643099
+0.0633332
+0.0624181
+0.0615674
+0.0607837
+0.0600696
+0.0593862
+0.0586607
+0.058001
+0.0574091
+0.0568878
+0.0564355
+0.0560511
+0.0557502
+0.0550424
+0.0542136
+0.0534618
+0.0527902
+0.0522021
+0.0517001
+0.0512868
+0.0509542
+0.0507062
+0.0504314
+0.0500945
+0.0498517
+0.0497044
+0.0496533
+0.0493504
+0.0489857
+0.0486716
+0.048422
+0.0482547
+0.0481788
+0.0481449
+0.0481956
+0.0483456
+0.0485571
+0.0488311
+0.0491734
+0.0495529
+0.049994
+0.0505249
+0.0508587
+0.0510075
+0.0512495
+0.0515835
+0.0520077
+0.05252
+0.053109
+0.0537722
+0.0545154
+0.0553355
+0.0562289
+0.0571924
+0.0582223
+0.0593154
+0.060468
+0.061677
+0.062939
+0.102359
+0.101046
+0.0997648
+0.0985153
+0.0972991
+0.0961175
+0.094971
+0.0938436
+0.0926213
+0.0914351
+0.0902865
+0.0891744
+0.0880836
+0.0869922
+0.0859429
+0.0849371
+0.0839707
+0.0830155
+0.0820367
+0.0810907
+0.0801461
+0.079245
+0.0783924
+0.0775924
+0.0768466
+0.0761136
+0.075345
+0.0746327
+0.073917
+0.0732194
+0.0724953
+0.0714784
+0.070515
+0.0695707
+0.0686798
+0.0678479
+0.0670669
+0.06584
+0.064664
+0.0635418
+0.0624763
+0.0614705
+0.0605272
+0.0596495
+0.0588403
+0.0581025
+0.0573713
+0.0566212
+0.0559428
+0.0553289
+0.0547921
+0.054325
+0.0539263
+0.0536135
+0.0532815
+0.0524325
+0.0516547
+0.0509594
+0.0503498
+0.0498292
+0.0494003
+0.0490583
+0.0488006
+0.0486349
+0.0482854
+0.0480335
+0.0478805
+0.0478275
+0.0474086
+0.0470275
+0.0467082
+0.0464481
+0.0462798
+0.0462053
+0.0461772
+0.04623
+0.0463863
+0.0466043
+0.0468932
+0.0472383
+0.0476313
+0.0480899
+0.0486364
+0.0490326
+0.0491868
+0.0494378
+0.0497839
+0.0502234
+0.0507536
+0.0513687
+0.052054
+0.0528214
+0.0536673
+0.0545881
+0.05558
+0.0566393
+0.0577623
+0.0589453
+0.0601849
+0.0614775
+0.101231
+0.0999036
+0.0986072
+0.0973428
+0.0961118
+0.0949154
+0.0937549
+0.0926308
+0.0914881
+0.0902871
+0.0891237
+0.0879995
+0.0869128
+0.0858245
+0.0847607
+0.0837407
+0.0827662
+0.081834
+0.0808666
+0.0799216
+0.078983
+0.0780684
+0.0772029
+0.0763904
+0.0756327
+0.0749304
+0.0741637
+0.0734401
+0.0727555
+0.0720469
+0.0713983
+0.0704358
+0.0694579
+0.0684991
+0.067594
+0.0666879
+0.0653842
+0.0641251
+0.0629171
+0.0617632
+0.0606664
+0.05963
+0.0586572
+0.0577511
+0.0569149
+0.0561518
+0.0553673
+0.0545935
+0.0538924
+0.0532576
+0.0527033
+0.0522182
+0.051807
+0.0514813
+0.0512467
+0.0506834
+0.0498785
+0.049158
+0.0485258
+0.0479854
+0.0475399
+0.0471878
+0.0469199
+0.0467532
+0.0465092
+0.0462475
+0.0460886
+0.0459859
+0.0454874
+0.04509
+0.044766
+0.0444945
+0.0443252
+0.0442474
+0.0442298
+0.044285
+0.0444481
+0.0446688
+0.0449729
+0.0453265
+0.0457338
+0.0462113
+0.0467743
+0.0472374
+0.0473975
+0.0476579
+0.0480169
+0.0484723
+0.0490215
+0.0496614
+0.0503725
+0.0511651
+0.0520379
+0.052987
+0.0540083
+0.0550979
+0.0562516
+0.0574658
+0.0587366
+0.0600604
+0.100107
+0.0987961
+0.097485
+0.0962059
+0.0949601
+0.093749
+0.0925739
+0.0914361
+0.0903363
+0.0891781
+0.0880001
+0.0868613
+0.0857634
+0.0846974
+0.0836193
+0.0825852
+0.0815968
+0.0806513
+0.0797273
+0.0787811
+0.07786
+0.0769362
+0.0760579
+0.075233
+0.0744635
+0.0737511
+0.0730291
+0.0722941
+0.0716185
+0.0709228
+0.0702638
+0.0694467
+0.0684547
+0.0674816
+0.0664346
+0.06506
+0.0637311
+0.0624399
+0.0611987
+0.0600117
+0.0588824
+0.057814
+0.0568101
+0.055874
+0.0550093
+0.0542194
+0.0533779
+0.0525788
+0.0518505
+0.0511962
+0.0506195
+0.0501187
+0.0496939
+0.0493543
+0.0491101
+0.0489046
+0.0481363
+0.0473894
+0.0467333
+0.0461719
+0.0457087
+0.0453458
+0.0450672
+0.0448936
+0.0447696
+0.0444977
+0.0443326
+0.044075
+0.0435917
+0.0431768
+0.0428477
+0.042564
+0.0423917
+0.0423124
+0.0423063
+0.0423639
+0.0425345
+0.042758
+0.0430721
+0.043441
+0.0438584
+0.0443561
+0.0449418
+0.0454769
+0.0456432
+0.0459135
+0.046286
+0.0467583
+0.0473274
+0.0479899
+0.0487314
+0.0495503
+0.0504511
+0.0514295
+0.0524811
+0.0536017
+0.054787
+0.0560329
+0.0573354
+0.0586909
+0.0990033
+0.0976957
+0.0963996
+0.0951059
+0.0938455
+0.0926198
+0.0914301
+0.090278
+0.0891648
+0.0880909
+0.0869156
+0.0857494
+0.0844911
+0.0832714
+0.0820921
+0.0809549
+0.0798616
+0.078814
+0.0778141
+0.0768615
+0.0759537
+0.0750988
+0.0742987
+0.0735551
+0.0728699
+0.0722445
+0.0716808
+0.07118
+0.070511
+0.0698458
+0.0691801
+0.0685059
+0.0675076
+0.0663251
+0.0648743
+0.0634659
+0.0621029
+0.0607829
+0.0595113
+0.05829
+0.0571266
+0.0560248
+0.0549882
+0.0540206
+0.0531257
+0.0523074
+0.051405
+0.0505757
+0.0498213
+0.049146
+0.048545
+0.0480273
+0.0475879
+0.0472331
+0.0469779
+0.0468075
+0.0462483
+0.045552
+0.0449285
+0.0443037
+0.0437784
+0.0433576
+0.0430442
+0.0428408
+0.0427381
+0.0427148
+0.0426051
+0.042173
+0.0417248
+0.0412911
+0.0409567
+0.0406599
+0.0404796
+0.0403993
+0.0404086
+0.0404703
+0.0406483
+0.0408753
+0.0412001
+0.0415854
+0.042013
+0.0425323
+0.0431427
+0.0437553
+0.0439281
+0.0442089
+0.0445957
+0.0450857
+0.0456756
+0.0463617
+0.0471351
+0.0479812
+0.0489109
+0.0499195
+0.0510022
+0.0521546
+0.0533721
+0.0546502
+0.055985
+0.0573723
+0.0979363
+0.0966143
+0.0953243
+0.094044
+0.0927692
+0.0915291
+0.0903251
+0.0891586
+0.0880313
+0.0867074
+0.0853519
+0.0840305
+0.0827461
+0.0815004
+0.080295
+0.079132
+0.0780132
+0.0769405
+0.0759158
+0.0749412
+0.074012
+0.0731345
+0.0723126
+0.0715484
+0.0708437
+0.0702004
+0.0696201
+0.0691043
+0.0686547
+0.0682693
+0.0679418
+0.0675346
+0.066322
+0.0648287
+0.0633513
+0.0619083
+0.0605102
+0.0591547
+0.0578483
+0.0565966
+0.0554019
+0.054265
+0.0531942
+0.0521933
+0.0512666
+0.0503934
+0.0494503
+0.0485877
+0.0478063
+0.0471061
+0.0464811
+0.0459451
+0.0454898
+0.0451185
+0.0448513
+0.0446748
+0.0443216
+0.0435945
+0.0429669
+0.0423227
+0.0417725
+0.0413312
+0.0410024
+0.0407887
+0.0406828
+0.0406583
+0.0407442
+0.0403004
+0.0398908
+0.039437
+0.0390886
+0.038786
+0.0385969
+0.0385127
+0.0385308
+0.0386081
+0.0387869
+0.0390247
+0.0393611
+0.0397585
+0.0402022
+0.0407446
+0.0413814
+0.042029
+0.042257
+0.0425488
+0.0429505
+0.0434591
+0.0440708
+0.0447815
+0.0455864
+0.0464624
+0.0474219
+0.0484615
+0.0495761
+0.0507609
+0.0520109
+0.0533217
+0.0546889
+0.0561082
+0.0969071
+0.0955709
+0.0942666
+0.0929956
+0.0917326
+0.0904783
+0.0892601
+0.0879205
+0.0864752
+0.0850618
+0.0836818
+0.0823341
+0.0810228
+0.0797501
+0.078518
+0.0773282
+0.0761829
+0.075084
+0.0740337
+0.073034
+0.0720847
+0.0711833
+0.0703387
+0.0695528
+0.0688277
+0.0681653
+0.0675675
+0.067036
+0.0665724
+0.0661773
+0.0658395
+0.0655731
+0.0648643
+0.0633366
+0.0618488
+0.06039
+0.0589559
+0.0575638
+0.0562205
+0.0549317
+0.0537014
+0.0525337
+0.0514309
+0.050395
+0.0494346
+0.048497
+0.0475162
+0.0466179
+0.0458067
+0.0450762
+0.0444293
+0.0438728
+0.0433995
+0.0430116
+0.0427312
+0.0425478
+0.0424205
+0.0416602
+0.041003
+0.0403633
+0.039786
+0.0393225
+0.0389767
+0.0387519
+0.0386423
+0.0386166
+0.038715
+0.0384607
+0.0380946
+0.0376192
+0.0372521
+0.036947
+0.0367485
+0.03666
+0.0366863
+0.0367769
+0.0369616
+0.0372085
+0.0375596
+0.0379666
+0.038431
+0.0389981
+0.0396629
+0.0403151
+0.0406352
+0.0409386
+0.041356
+0.0418839
+0.0425183
+0.0432545
+0.0440873
+0.0449991
+0.0459891
+0.0470603
+0.0482074
+0.0494249
+0.050708
+0.0520516
+0.0534501
+0.0548883
+0.0959169
+0.0945667
+0.0932483
+0.0919633
+0.0907126
+0.0893617
+0.087854
+0.086352
+0.08488
+0.0834396
+0.0820323
+0.0806601
+0.0793226
+0.0780222
+0.0767623
+0.0755449
+0.0743721
+0.0732461
+0.072169
+0.0711431
+0.0701706
+0.0692466
+0.068378
+0.0675693
+0.0668227
+0.0661402
+0.065524
+0.0649757
+0.0644973
+0.0640902
+0.0637431
+0.0634679
+0.0632674
+0.0618861
+0.0603625
+0.0588811
+0.0574431
+0.0560134
+0.054632
+0.0533049
+0.0520361
+0.0508302
+0.0496916
+0.048625
+0.0476329
+0.0466264
+0.0456054
+0.0446686
+0.0438214
+0.043062
+0.0423915
+0.0418082
+0.0413165
+0.0409134
+0.0406185
+0.0404278
+0.0403449
+0.0397526
+0.0390633
+0.0384273
+0.0378221
+0.0373342
+0.0369698
+0.0367327
+0.0366192
+0.0365921
+0.0366959
+0.0366462
+0.0362867
+0.0358359
+0.0354541
+0.0351388
+0.0349396
+0.0348466
+0.0348819
+0.0349753
+0.0351781
+0.0354236
+0.0357921
+0.0362186
+0.0367051
+0.0372984
+0.0379912
+0.0386494
+0.0390691
+0.0393845
+0.0398182
+0.0403663
+0.0410241
+0.0417866
+0.0426481
+0.0435967
+0.0446179
+0.0457212
+0.046901
+0.0481517
+0.0494677
+0.0508408
+0.0522588
+0.0537287
+0.0948242
+0.0934485
+0.09197
+0.0905195
+0.0890988
+0.0877098
+0.0863387
+0.0848099
+0.0833106
+0.0818426
+0.0804074
+0.0790069
+0.077643
+0.0763175
+0.0750295
+0.0737835
+0.0725823
+0.0714281
+0.0703231
+0.0692699
+0.0682707
+0.0673253
+0.0664317
+0.065599
+0.0648297
+0.064126
+0.0634902
+0.0629243
+0.0624301
+0.0620094
+0.0616533
+0.0613687
+0.0611613
+0.0604802
+0.0589203
+0.0574016
+0.0559273
+0.0545011
+0.0530864
+0.0517196
+0.050411
+0.0491652
+0.0479871
+0.0468818
+0.0458546
+0.0447817
+0.0437208
+0.0427428
+0.0418566
+0.0410629
+0.0403649
+0.0397567
+0.0392451
+0.0388255
+0.0385146
+0.0383156
+0.0382282
+0.0378721
+0.0371479
+0.0365134
+0.0358845
+0.0353698
+0.034985
+0.0347344
+0.0346165
+0.0345878
+0.0346976
+0.0348735
+0.0345009
+0.0340922
+0.0336907
+0.0333726
+0.0331768
+0.0330788
+0.0331197
+0.0332203
+0.0334376
+0.0336861
+0.0340735
+0.0345211
+0.0350313
+0.0356524
+0.0363651
+0.0370385
+0.0375654
+0.0378934
+0.038344
+0.0389128
+0.0395948
+0.0403843
+0.0412751
+0.0422549
+0.0433085
+0.0444444
+0.0456572
+0.046941
+0.0482888
+0.0496832
+0.0511333
+0.0526347
+0.0934517
+0.0919211
+0.0904177
+0.0889419
+0.0874957
+0.0860808
+0.0846991
+0.0832968
+0.0817698
+0.0802736
+0.0788098
+0.0773804
+0.0759873
+0.0746325
+0.0733181
+0.0720457
+0.070815
+0.0696315
+0.0684976
+0.0674158
+0.0663888
+0.065419
+0.064501
+0.0636431
+0.0628498
+0.0621238
+0.0614672
+0.0608825
+0.0603716
+0.0599365
+0.0595707
+0.0592762
+0.0590614
+0.0589274
+0.0575253
+0.0559688
+0.0544555
+0.0529897
+0.051569
+0.05018
+0.0488301
+0.0475429
+0.0463235
+0.0451776
+0.0441107
+0.0429617
+0.0418607
+0.0408436
+0.0399153
+0.0390815
+0.0383474
+0.0377208
+0.0371875
+0.0367495
+0.0364209
+0.0362128
+0.0361203
+0.0360253
+0.0352633
+0.0346226
+0.0339734
+0.0334336
+0.0330263
+0.0327606
+0.032638
+0.0326075
+0.032724
+0.03298
+0.0327561
+0.0324029
+0.0319801
+0.0316595
+0.0314571
+0.0313644
+0.0314076
+0.0315198
+0.0317431
+0.0320043
+0.0324118
+0.0328821
+0.0334172
+0.0340678
+0.0347881
+0.0354789
+0.0361321
+0.036473
+0.0369408
+0.0375309
+0.0382376
+0.0390546
+0.0399734
+0.0409721
+0.0420579
+0.0432266
+0.0444727
+0.0457896
+0.0471704
+0.0485969
+0.0500785
+0.0516105
+0.0919745
+0.090421
+0.0888923
+0.0873907
+0.0859183
+0.0844771
+0.0830687
+0.0816947
+0.0802592
+0.0787343
+0.0772414
+0.0757824
+0.0743593
+0.0729743
+0.0716295
+0.0703272
+0.0690699
+0.067858
+0.066694
+0.0655825
+0.0645263
+0.063528
+0.0625875
+0.061703
+0.0608844
+0.0601346
+0.0594561
+0.0588514
+0.0583227
+0.0578722
+0.0574962
+0.0571909
+0.0569684
+0.0568294
+0.0561764
+0.0545811
+0.0530283
+0.0515218
+0.050065
+0.0486555
+0.0472978
+0.0459677
+0.0447055
+0.0435169
+0.0424083
+0.0411779
+0.0400279
+0.0389672
+0.0380011
+0.0371236
+0.03635
+0.0356942
+0.035145
+0.0346877
+0.0343394
+0.0341193
+0.0340211
+0.0340638
+0.033416
+0.0327398
+0.0320805
+0.0315307
+0.0310985
+0.0308162
+0.0306882
+0.0306559
+0.0307798
+0.0310473
+0.0310544
+0.0307724
+0.0303314
+0.0300086
+0.0297949
+0.0297118
+0.0297573
+0.0298832
+0.0301122
+0.0303874
+0.0308163
+0.0313093
+0.0318721
+0.0325525
+0.0332729
+0.0339789
+0.0346862
+0.0351318
+0.0356173
+0.036229
+0.0369605
+0.0378051
+0.0387391
+0.0397687
+0.0408864
+0.0420877
+0.0433665
+0.0447161
+0.046129
+0.0475867
+0.0490988
+0.0506604
+0.0905181
+0.0889439
+0.0873951
+0.0858674
+0.0843684
+0.0829003
+0.0814646
+0.0800631
+0.0786976
+0.0772264
+0.0757038
+0.0742146
+0.0727609
+0.0713448
+0.0699687
+0.0686349
+0.067346
+0.0661046
+0.0649134
+0.0637718
+0.062685
+0.061657
+0.0606905
+0.0597795
+0.0589346
+0.0581598
+0.0574581
+0.0568322
+0.0562846
+0.0558176
+0.0554306
+0.0551139
+0.0548829
+0.0547387
+0.0546819
+0.0532448
+0.0516519
+0.0501041
+0.0486057
+0.0471603
+0.0457663
+0.0444365
+0.043138
+0.041905
+0.0407149
+0.0394352
+0.0382328
+0.0371208
+0.0361076
+0.0351931
+0.0343761
+0.0336819
+0.0331161
+0.0326403
+0.0322723
+0.032038
+0.0319334
+0.0319789
+0.0316126
+0.030897
+0.0302278
+0.0296443
+0.0292028
+0.028902
+0.0287654
+0.0287388
+0.0288708
+0.0291512
+0.0294175
+0.0291196
+0.0287552
+0.0284307
+0.0282051
+0.0281205
+0.0281686
+0.0283157
+0.0285466
+0.0288367
+0.0292883
+0.0298058
+0.0304064
+0.0310901
+0.0318291
+0.0325573
+0.0332949
+0.0338793
+0.0343825
+0.0350157
+0.0357721
+0.0366322
+0.0375919
+0.0386521
+0.0398012
+0.0410343
+0.0423448
+0.043726
+0.0451698
+0.0466576
+0.0481988
+0.0497887
+0.0890917
+0.0874919
+0.0859181
+0.0843719
+0.0828474
+0.0813518
+0.0798883
+0.0784587
+0.0770648
+0.0757086
+0.0741991
+0.0726791
+0.071194
+0.0697461
+0.0683378
+0.0669716
+0.06565
+0.0643759
+0.0631521
+0.0619816
+0.0608669
+0.0598076
+0.0588107
+0.0578704
+0.0569975
+0.0561965
+0.0554705
+0.0548224
+0.0542552
+0.0537712
+0.0533729
+0.053046
+0.052806
+0.052656
+0.052597
+0.0519666
+0.0503332
+0.0487435
+0.047202
+0.0457136
+0.0442819
+0.0429062
+0.0416004
+0.0403476
+0.0390627
+0.0377374
+0.0364809
+0.0353138
+0.0342472
+0.0332907
+0.0324301
+0.0316933
+0.0310938
+0.030609
+0.0302226
+0.0299723
+0.0298604
+0.0299091
+0.029861
+0.0291024
+0.0284233
+0.0278019
+0.0273378
+0.0270163
+0.0268701
+0.0268635
+0.0270047
+0.0272992
+0.0277524
+0.0275306
+0.0272639
+0.0269386
+0.0267004
+0.0266145
+0.0266654
+0.0268346
+0.0270642
+0.0273701
+0.0278454
+0.0283904
+0.0290018
+0.0297164
+0.0304745
+0.0312243
+0.0319797
+0.0327165
+0.0332373
+0.0338919
+0.0346728
+0.0355521
+0.0365402
+0.03763
+0.0388093
+0.040073
+0.041414
+0.0428251
+0.0442984
+0.0458144
+0.0473831
+0.0489994
+0.0876969
+0.0860711
+0.0844709
+0.0828977
+0.081353
+0.0798335
+0.0783416
+0.0768832
+0.0754602
+0.0740747
+0.0727288
+0.0711778
+0.0696607
+0.0681803
+0.066739
+0.0653393
+0.0639841
+0.0626761
+0.0614184
+0.0602114
+0.0590605
+0.0579696
+0.0569422
+0.0559816
+0.0550789
+0.0542496
+0.0534971
+0.0528249
+0.0522359
+0.0517331
+0.0513189
+0.0509884
+0.0507386
+0.0505825
+0.0505211
+0.0505546
+0.0490769
+0.0474452
+0.0458601
+0.0443266
+0.0428502
+0.0414352
+0.0400815
+0.0388043
+0.0374658
+0.0360819
+0.0347787
+0.0335525
+0.032428
+0.0314163
+0.0305172
+0.0297331
+0.0290932
+0.028595
+0.0281941
+0.0279256
+0.0278056
+0.0278578
+0.028074
+0.0273655
+0.0266766
+0.0260136
+0.0255219
+0.0251799
+0.025023
+0.0250267
+0.0251909
+0.025501
+0.0259839
+0.0260109
+0.0258598
+0.0255296
+0.0252863
+0.025209
+0.0252629
+0.025456
+0.0256833
+0.0260054
+0.0265053
+0.0270695
+0.0276979
+0.0284452
+0.0292215
+0.0299872
+0.0307618
+0.0316051
+0.0321923
+0.0328678
+0.0336724
+0.0345771
+0.0355923
+0.0367103
+0.0379183
+0.0392106
+0.0405801
+0.0420193
+0.0435198
+0.0450621
+0.046656
+0.0482967
+0.0863351
+0.0846832
+0.0830562
+0.0814557
+0.0798832
+0.0783404
+0.0768262
+0.0753385
+0.0738858
+0.0724702
+0.0710939
+0.0697131
+0.0681634
+0.0666497
+0.0651746
+0.0637406
+0.0623498
+0.0610036
+0.0597075
+0.0584647
+0.0572787
+0.0561533
+0.0550919
+0.0540985
+0.0531769
+0.0523219
+0.0515413
+0.0508432
+0.050231
+0.0497079
+0.0492768
+0.0489399
+0.048682
+0.0485193
+0.0484553
+0.0484902
+0.0478116
+0.0461701
+0.0445758
+0.0430065
+0.0414832
+0.0400218
+0.0386271
+0.0373002
+0.0359316
+0.0344861
+0.0331225
+0.0318445
+0.0306575
+0.0295852
+0.0286407
+0.0278073
+0.027122
+0.026595
+0.0261808
+0.0259025
+0.025773
+0.0258294
+0.0260624
+0.0256982
+0.024978
+0.0242912
+0.023764
+0.0234046
+0.0232357
+0.0232407
+0.0234414
+0.0237687
+0.024274
+0.0245927
+0.0244328
+0.0242222
+0.0239804
+0.0239095
+0.0239787
+0.0241976
+0.0244139
+0.0247526
+0.0252773
+0.0258598
+0.026511
+0.0272909
+0.028071
+0.0288623
+0.0296559
+0.0305262
+0.0312662
+0.0319612
+0.0327881
+0.0337166
+0.0347569
+0.0359009
+0.0371352
+0.0384539
+0.0398494
+0.041314
+0.0428393
+0.0444052
+0.0460219
+0.0476844
+0.085008
+0.0833298
+0.0816758
+0.0800477
+0.078447
+0.0768754
+0.0753346
+0.0738251
+0.0723419
+0.0708955
+0.069488
+0.0681219
+0.0667044
+0.0651569
+0.0636453
+0.0621729
+0.0607438
+0.0593612
+0.0580283
+0.0567488
+0.0555262
+0.0543645
+0.0532675
+0.0522394
+0.0512844
+0.0504065
+0.0496042
+0.0488777
+0.0482398
+0.0476942
+0.0472439
+0.0468917
+0.0466377
+0.0464678
+0.0464009
+0.0464374
+0.0465769
+0.0449169
+0.0432765
+0.0416867
+0.0401535
+0.0386789
+0.0372364
+0.0358669
+0.0344646
+0.0329587
+0.0315292
+0.030191
+0.0289445
+0.0278063
+0.0267991
+0.0259237
+0.0251871
+0.0246241
+0.024193
+0.0238952
+0.0237686
+0.0238297
+0.0240821
+0.0241146
+0.0233457
+0.0226499
+0.0220835
+0.0217053
+0.0215231
+0.0215296
+0.0217482
+0.0221178
+0.0226472
+0.0232944
+0.0231256
+0.0230242
+0.0228104
+0.0227359
+0.0228099
+0.0230767
+0.0232658
+0.023621
+0.0241702
+0.024785
+0.0254577
+0.0262674
+0.027043
+0.0278646
+0.0286685
+0.0295532
+0.0304697
+0.0311825
+0.0320295
+0.0329793
+0.0340421
+0.0352093
+0.0364671
+0.0378091
+0.0392275
+0.0407146
+0.0422614
+0.043848
+0.0454845
+0.047166
+0.0837171
+0.0820125
+0.0803315
+0.0786755
+0.0770463
+0.0754455
+0.073875
+0.0723367
+0.070831
+0.0693531
+0.0679136
+0.0665152
+0.0651604
+0.0636983
+0.06215
+0.0606413
+0.0591753
+0.0577551
+0.0563843
+0.0550666
+0.0538058
+0.0526061
+0.0514717
+0.050407
+0.0494165
+0.0485048
+0.0476764
+0.0469275
+0.0462628
+0.0456935
+0.0452233
+0.0448553
+0.044592
+0.0444296
+0.0443596
+0.0443977
+0.0445437
+0.0437376
+0.0420512
+0.0404133
+0.0388298
+0.0373079
+0.0358553
+0.0344682
+0.0330525
+0.0315052
+0.0300113
+0.0286022
+0.0272964
+0.0260901
+0.0250139
+0.0240893
+0.0232976
+0.0226877
+0.0222382
+0.0219215
+0.0218001
+0.0218667
+0.0221414
+0.0225949
+0.0218115
+0.0211086
+0.0204997
+0.0201014
+0.0199045
+0.0199127
+0.0201489
+0.0205676
+0.0211225
+0.0218715
+0.0219547
+0.0219714
+0.0217727
+0.0217205
+0.0217978
+0.0220657
+0.0222745
+0.0226452
+0.0232053
+0.0238634
+0.0245552
+0.025357
+0.0261585
+0.0269898
+0.0278033
+0.0287146
+0.0297023
+0.0305413
+0.0314056
+0.0323737
+0.0334558
+0.0346428
+0.0359204
+0.037282
+0.0387198
+0.0402256
+0.0417906
+0.0433943
+0.0450473
+0.0467445
+0.0824643
+0.0807332
+0.079025
+0.0773411
+0.0756831
+0.0740528
+0.0724521
+0.070883
+0.0693476
+0.0678463
+0.0663742
+0.0649426
+0.0635543
+0.0622122
+0.060697
+0.0591513
+0.0576473
+0.0561886
+0.0547786
+0.0534213
+0.0521207
+0.0508812
+0.0497075
+0.0486041
+0.0475762
+0.0466285
+0.0457662
+0.0449941
+0.0443058
+0.0437111
+0.0432193
+0.0428341
+0.0425582
+0.042394
+0.0423332
+0.0423732
+0.0425261
+0.0426383
+0.0409066
+0.0392209
+0.0375873
+0.0360129
+0.0345058
+0.0330615
+0.0316237
+0.0301283
+0.0285753
+0.0270974
+0.0257153
+0.0244497
+0.0232979
+0.0223024
+0.0214654
+0.0208019
+0.0203313
+0.0199931
+0.0198719
+0.0199511
+0.0202519
+0.0207466
+0.0203975
+0.0196908
+0.0190365
+0.0186174
+0.0184047
+0.0184149
+0.01867
+0.0191122
+0.0197236
+0.020507
+0.0209464
+0.0209683
+0.0208961
+0.0208571
+0.0209666
+0.0212012
+0.0214602
+0.0218332
+0.0223848
+0.0230743
+0.0237936
+0.0246045
+0.0254149
+0.0262524
+0.0270881
+0.0280227
+0.0290339
+0.0300465
+0.0309247
+0.0319074
+0.0330047
+0.0342074
+0.0355006
+0.0368778
+0.0383308
+0.0398512
+0.0414304
+0.0430476
+0.0447134
+0.0464228
+0.0812512
+0.0794937
+0.0777583
+0.0760463
+0.0743595
+0.0726995
+0.0710684
+0.069468
+0.0679005
+0.0663684
+0.0648722
+0.0634068
+0.0619841
+0.0606072
+0.0592793
+0.0577059
+0.0561633
+0.0546649
+0.0532146
+0.0518163
+0.0504744
+0.0491935
+0.0479785
+0.0468344
+0.0457667
+0.0447808
+0.0438822
+0.0430763
+0.0423685
+0.0417494
+0.0412343
+0.0408303
+0.0405409
+0.0403684
+0.0403144
+0.040366
+0.0405265
+0.0408041
+0.0398497
+0.0381172
+0.0364342
+0.0348076
+0.0332459
+0.0317295
+0.0302423
+0.0287543
+0.0272332
+0.0256849
+0.0242293
+0.0228837
+0.0216678
+0.0205935
+0.0197052
+0.0189816
+0.0184736
+0.0181245
+0.0179906
+0.018089
+0.0184275
+0.0189689
+0.0191225
+0.0184053
+0.017724
+0.0172743
+0.017055
+0.0170674
+0.0173374
+0.0178058
+0.0184638
+0.0192954
+0.0201132
+0.0201482
+0.020209
+0.0201795
+0.0203198
+0.020535
+0.020803
+0.0211869
+0.0217549
+0.0224634
+0.0232019
+0.0239947
+0.0248245
+0.0256813
+0.0265349
+0.0274863
+0.0285184
+0.0295896
+0.0305929
+0.0315864
+0.0326946
+0.0339082
+0.0352124
+0.0366005
+0.038064
+0.0395947
+0.0411837
+0.0428102
+0.0444849
+0.0462028
+0.0800797
+0.0782959
+0.0765333
+0.0747933
+0.0730776
+0.0713878
+0.069726
+0.068094
+0.0664942
+0.0649289
+0.0634007
+0.0619103
+0.0604524
+0.0590398
+0.0576759
+0.0563087
+0.0547267
+0.0531879
+0.0516962
+0.0502557
+0.0488709
+0.0475468
+0.0462886
+0.0451017
+0.043992
+0.0429653
+0.0420279
+0.0411858
+0.0404449
+0.0398104
+0.0392698
+0.0388454
+0.038541
+0.0383596
+0.0383027
+0.0383711
+0.038542
+0.0388338
+0.038811
+0.0370929
+0.035368
+0.0336972
+0.0320864
+0.0304968
+0.0289367
+0.0273712
+0.0258805
+0.0243806
+0.022849
+0.0214253
+0.0201308
+0.018984
+0.0180164
+0.0172477
+0.0166887
+0.016336
+0.0161874
+0.0162946
+0.0166739
+0.0172693
+0.0180032
+0.0172705
+0.0165979
+0.0161167
+0.0158837
+0.0159081
+0.0161851
+0.0166859
+0.0173863
+0.018267
+0.0193419
+0.0195202
+0.0197244
+0.0197038
+0.0198649
+0.0200552
+0.0203461
+0.0207527
+0.0213323
+0.0220541
+0.0228062
+0.0235729
+0.024417
+0.0252877
+0.0261486
+0.0271015
+0.0281644
+0.0292485
+0.0303822
+0.0314085
+0.0325293
+0.0337488
+0.035059
+0.0364529
+0.0379221
+0.0394584
+0.0410457
+0.0426756
+0.0443538
+0.046075
+0.0789516
+0.0771417
+0.0753521
+0.0735842
+0.0718396
+0.07012
+0.0684274
+0.0667637
+0.0651312
+0.0635323
+0.0619697
+0.060446
+0.0589624
+0.0575132
+0.0561122
+0.054763
+0.0533415
+0.0517615
+0.0502274
+0.0487435
+0.0473145
+0.0459456
+0.0446423
+0.0434104
+0.0422562
+0.0411864
+0.0402075
+0.0393264
+0.0385498
+0.0378841
+0.0373213
+0.0368745
+0.0365537
+0.0363623
+0.0363024
+0.0363745
+0.036564
+0.0368715
+0.0367841
+0.0361644
+0.034393
+0.0326724
+0.0310112
+0.029376
+0.0277234
+0.026099
+0.0245355
+0.0230613
+0.0215956
+0.0200907
+0.0187144
+0.0174818
+0.016426
+0.0156053
+0.0150094
+0.0146502
+0.0144913
+0.0146087
+0.0150307
+0.0156919
+0.0165597
+0.0163286
+0.0156983
+0.0151887
+0.0149419
+0.0149679
+0.0152619
+0.015792
+0.0165304
+0.0174543
+0.0185714
+0.0191051
+0.0193044
+0.0194617
+0.0196111
+0.0197822
+0.0200868
+0.0205428
+0.0211151
+0.0218198
+0.0226166
+0.0233498
+0.0242017
+0.0250529
+0.0259273
+0.0268901
+0.027956
+0.0290691
+0.0302094
+0.03136
+0.032499
+0.0337213
+0.0350316
+0.0364265
+0.0378968
+0.0394316
+0.0410087
+0.0426399
+0.0443195
+0.046042
+0.0778628
+0.0760309
+0.0742168
+0.0724212
+0.0706479
+0.0688986
+0.0671751
+0.0654797
+0.0638143
+0.0621816
+0.0605841
+0.0590247
+0.0575064
+0.0560307
+0.0545916
+0.0532038
+0.0518715
+0.0503899
+0.0488128
+0.0472845
+0.04581
+0.0443948
+0.0430445
+0.0417655
+0.0405646
+0.0394489
+0.0384257
+0.0375028
+0.0366876
+0.0359875
+0.0354009
+0.0349295
+0.0345907
+0.0343884
+0.034325
+0.0344013
+0.0346116
+0.0349363
+0.0347692
+0.0346284
+0.033533
+0.0317658
+0.0300546
+0.0283674
+0.0266141
+0.0249301
+0.02331
+0.0217612
+0.0203234
+0.0189081
+0.0174468
+0.0161304
+0.0149797
+0.0140749
+0.0134224
+0.0130791
+0.0129445
+0.0130734
+0.013538
+0.0142654
+0.0152103
+0.0156289
+0.0150339
+0.0145342
+0.0142768
+0.014304
+0.0146114
+0.0151643
+0.0159318
+0.0168829
+0.01799
+0.018663
+0.0187513
+0.0186405
+0.0187403
+0.0190659
+0.0196319
+0.0204185
+0.0210948
+0.0218002
+0.0226042
+0.0233171
+0.0241717
+0.0249985
+0.0258754
+0.0268475
+0.0279072
+0.0290541
+0.0301906
+0.0313764
+0.0325998
+0.0338184
+0.035125
+0.0365164
+0.0379832
+0.0395146
+0.0410886
+0.0427168
+0.0443934
+0.0461132
+0.0768151
+0.0749575
+0.0731179
+0.0712973
+0.0694981
+0.067722
+0.0659708
+0.0642447
+0.0625465
+0.0608798
+0.0592472
+0.0576516
+0.0560962
+0.0545844
+0.0531155
+0.0516882
+0.0503157
+0.0490027
+0.0474571
+0.0458837
+0.0443627
+0.0428997
+0.0415008
+0.0401728
+0.0389227
+0.0377585
+0.0366883
+0.0357205
+0.0348637
+0.0341262
+0.0335112
+0.0330128
+0.0326542
+0.0324398
+0.0323726
+0.0324534
+0.0326812
+0.0330331
+0.0327708
+0.0326329
+0.0326236
+0.0309776
+0.0292201
+0.0274465
+0.0256405
+0.0238921
+0.0222058
+0.0205951
+0.0190868
+0.0176849
+0.016351
+0.0149604
+0.0137292
+0.0127388
+0.0120237
+0.0116523
+0.0115618
+0.0117401
+0.0122318
+0.0130205
+0.0140488
+0.0152018
+0.0146399
+0.014153
+0.0139281
+0.013956
+0.0142709
+0.0148365
+0.0156173
+0.0165339
+0.017662
+0.017886
+0.0178993
+0.0177582
+0.017863
+0.0182042
+0.0187962
+0.0195927
+0.0205698
+0.0217244
+0.0227558
+0.0234641
+0.0243136
+0.0251357
+0.0260079
+0.026973
+0.02803
+0.0291719
+0.0303048
+0.0315151
+0.0327634
+0.0340564
+0.0353543
+0.0367369
+0.0381953
+0.0397185
+0.0412847
+0.0429055
+0.044575
+0.046288
+0.0758161
+0.0739335
+0.0720677
+0.07022
+0.0683924
+0.0665868
+0.064805
+0.0630489
+0.0613208
+0.059623
+0.0579584
+0.0563298
+0.0547373
+0.0531869
+0.0516824
+0.0502153
+0.0488014
+0.0474466
+0.0461527
+0.0445419
+0.0429777
+0.0414666
+0.0400176
+0.0386386
+0.0373373
+0.036122
+0.0350018
+0.033986
+0.0330843
+0.0323062
+0.0316558
+0.0311278
+0.0307471
+0.0305194
+0.0304479
+0.0305338
+0.0307759
+0.0310884
+0.0307985
+0.0306627
+0.0306542
+0.0302546
+0.0284583
+0.026596
+0.0247692
+0.0230021
+0.0212614
+0.0195782
+0.0179991
+0.0165389
+0.0152162
+0.0139904
+0.0127078
+0.0116313
+0.0108785
+0.0104751
+0.0104299
+0.0106518
+0.0111978
+0.0120485
+0.0131522
+0.0142082
+0.0145162
+0.0140788
+0.0138634
+0.0139476
+0.0142627
+0.0148285
+0.0155501
+0.0164705
+0.0172633
+0.0173525
+0.0172589
+0.0171125
+0.0172205
+0.0175742
+0.0181621
+0.0189606
+0.0199687
+0.0211561
+0.0224669
+0.0238125
+0.02465
+0.0254613
+0.0263228
+0.0272744
+0.0283223
+0.029436
+0.0305755
+0.0317982
+0.0330418
+0.0343705
+0.0357012
+0.037071
+0.0385166
+0.0400301
+0.0415954
+0.0432045
+0.044863
+0.0465654
+0.074868
+0.0729609
+0.0710696
+0.0691952
+0.0673399
+0.0655052
+0.0636931
+0.0619055
+0.0601445
+0.0584127
+0.0567125
+0.0550471
+0.0534195
+0.0518335
+0.0502929
+0.0487963
+0.0473401
+0.0459422
+0.0446081
+0.043253
+0.0416444
+0.0400888
+0.0385932
+0.0371665
+0.0358152
+0.0345469
+0.0333738
+0.0323069
+0.031357
+0.0305349
+0.029846
+0.0292853
+0.0288804
+0.0286378
+0.0285616
+0.0286532
+0.028911
+0.029167
+0.0288577
+0.0287127
+0.0287169
+0.0288731
+0.0277514
+0.0258552
+0.0239921
+0.0221888
+0.0204451
+0.0187355
+0.0171022
+0.0155802
+0.0142095
+0.0130195
+0.0119709
+0.0108527
+0.0100587
+0.00963937
+0.00959975
+0.00987582
+0.0104515
+0.0113643
+0.0125058
+0.0129821
+0.0135733
+0.0142689
+0.0141315
+0.0142484
+0.0145767
+0.0150984
+0.0157896
+0.0165515
+0.0169447
+0.0170853
+0.0168596
+0.016707
+0.0167883
+0.0171509
+0.0177508
+0.018567
+0.0195954
+0.0208041
+0.0221358
+0.0235945
+0.0251596
+0.0259593
+0.0268133
+0.0277461
+0.0287767
+0.0298589
+0.0309991
+0.0322056
+0.0334615
+0.0347745
+0.0361447
+0.0375196
+0.038949
+0.0404463
+0.042001
+0.0436002
+0.0452491
+0.0469423
+0.0739726
+0.0720418
+0.0701257
+0.0682254
+0.0663429
+0.06448
+0.0626382
+0.0608196
+0.0590262
+0.0572605
+0.0555251
+0.0538229
+0.0521572
+0.0505316
+0.04895
+0.047417
+0.0459313
+0.0444948
+0.043116
+0.0418065
+0.0403818
+0.0387779
+0.0372322
+0.0357513
+0.0343464
+0.0330271
+0.0318042
+0.030689
+0.0296907
+0.0288213
+0.0280823
+0.0274857
+0.0270539
+0.0267947
+0.0267133
+0.0268112
+0.0270865
+0.0272796
+0.0269553
+0.0268
+0.0268186
+0.0269858
+0.0271826
+0.0252589
+0.0233733
+0.0215182
+0.0197321
+0.0180355
+0.0164053
+0.0148521
+0.0134431
+0.0122262
+0.0112551
+0.0104352
+0.00960674
+0.00916678
+0.00916872
+0.00942497
+0.0100175
+0.0107567
+0.0114508
+0.0120216
+0.0126594
+0.01341
+0.0143516
+0.0147579
+0.0149611
+0.015345
+0.0158411
+0.0165041
+0.016893
+0.0169953
+0.0167055
+0.0165515
+0.0166336
+0.0169995
+0.0176045
+0.0184272
+0.019463
+0.0206717
+0.0220071
+0.0234712
+0.0250409
+0.0266026
+0.0274375
+0.0283536
+0.0293583
+0.0304339
+0.0315671
+0.0327548
+0.033992
+0.0352876
+0.0366549
+0.038067
+0.0394935
+0.0409755
+0.0425109
+0.0440917
+0.0457228
+0.047399
+0.0731319
+0.0711783
+0.0692383
+0.0673129
+0.0654042
+0.0635137
+0.0616431
+0.0597942
+0.0579692
+0.0561702
+0.0544001
+0.0526615
+0.0509579
+0.0492927
+0.0476701
+0.0460944
+0.0445647
+0.0430907
+0.0416798
+0.0403297
+0.0390497
+0.0375468
+0.0359499
+0.0344174
+0.0329557
+0.0315784
+0.030297
+0.0291242
+0.0280737
+0.0271596
+0.0263797
+0.0257437
+0.0252821
+0.0250046
+0.0249173
+0.0250223
+0.0253131
+0.0254262
+0.0250999
+0.0249331
+0.0249551
+0.0251347
+0.0255018
+0.0247994
+0.0228938
+0.0210238
+0.0192102
+0.0174805
+0.0158457
+0.0143552
+0.0129135
+0.011671
+0.0106967
+0.0100594
+0.00955657
+0.00918274
+0.00905788
+0.00919283
+0.00958026
+0.0103507
+0.0107296
+0.0113865
+0.012076
+0.0128633
+0.013783
+0.014782
+0.0150467
+0.0154285
+0.0160503
+0.016696
+0.0170766
+0.0171251
+0.0168374
+0.0166847
+0.0167661
+0.0171292
+0.017723
+0.0185405
+0.0195575
+0.0207338
+0.0220653
+0.0235259
+0.0250921
+0.0267394
+0.0282175
+0.0291091
+0.0300886
+0.0311414
+0.0322608
+0.0334293
+0.0346515
+0.0359233
+0.0372752
+0.0386852
+0.0401237
+0.0416008
+0.0431173
+0.0446852
+0.0462954
+0.0479516
+0.0723478
+0.0703724
+0.0684096
+0.0664602
+0.0645263
+0.0626093
+0.0607108
+0.0588326
+0.0569767
+0.0551455
+0.0533413
+0.0515671
+0.049826
+0.0481217
+0.0464582
+0.04484
+0.0432659
+0.0417461
+0.0402881
+0.0388989
+0.0375861
+0.036348
+0.0347567
+0.0331701
+0.0316556
+0.0302191
+0.0288775
+0.0276445
+0.0265355
+0.0255664
+0.0247536
+0.0240751
+0.0235808
+0.0232831
+0.0231893
+0.0233021
+0.023605
+0.0236299
+0.0232869
+0.023123
+0.0231449
+0.0233384
+0.0237333
+0.0243199
+0.0224729
+0.0206429
+0.01882
+0.0170819
+0.0154285
+0.0139074
+0.0125621
+0.0114569
+0.0105226
+0.00992607
+0.00971469
+0.00943932
+0.00910338
+0.00914765
+0.0095797
+0.0100486
+0.0104273
+0.0111021
+0.0118733
+0.0126198
+0.013549
+0.0146374
+0.0153759
+0.0156876
+0.0161791
+0.0167414
+0.0170957
+0.017255
+0.0172186
+0.0170541
+0.0171334
+0.0174888
+0.018063
+0.0188658
+0.0198661
+0.0210251
+0.0223393
+0.0237831
+0.0253334
+0.0269659
+0.028673
+0.0300058
+0.0309569
+0.0319812
+0.033074
+0.034219
+0.0354336
+0.0366791
+0.038004
+0.0393879
+0.0408425
+0.0423074
+0.0438125
+0.0453608
+0.0469603
+0.0485968
+0.0716221
+0.0696262
+0.0676417
+0.0656695
+0.0637116
+0.0617693
+0.0598441
+0.0579379
+0.0560524
+0.0541899
+0.0523528
+0.0505439
+0.0487663
+0.0470236
+0.0453198
+0.0436594
+0.0420412
+0.0404754
+0.0389699
+0.037532
+0.0361696
+0.0348917
+0.0336639
+0.0320232
+0.0304519
+0.0289578
+0.0275548
+0.0262599
+0.0250897
+0.0240624
+0.0231969
+0.022474
+0.0219438
+0.0216235
+0.0215225
+0.0216439
+0.0219642
+0.0218975
+0.021527
+0.0213628
+0.0213921
+0.0216149
+0.0220408
+0.0226712
+0.0221287
+0.0202707
+0.0184846
+0.0167737
+0.0151565
+0.0136216
+0.0122777
+0.0111566
+0.0103403
+0.00985783
+0.00955439
+0.00943166
+0.00941563
+0.00959718
+0.00980798
+0.0101153
+0.0105564
+0.0112453
+0.012009
+0.012746
+0.0136666
+0.0146832
+0.0156231
+0.0159064
+0.0163913
+0.0169755
+0.017243
+0.0174009
+0.017282
+0.0171898
+0.0173401
+0.0177438
+0.0183933
+0.0192417
+0.0202921
+0.021512
+0.0228213
+0.0242363
+0.0257594
+0.0273665
+0.0290501
+0.0307975
+0.0319521
+0.0329455
+0.0340073
+0.035122
+0.036312
+0.0375476
+0.0388429
+0.040198
+0.0416242
+0.0431138
+0.0445996
+0.0461263
+0.0477002
+0.0493211
+0.0709567
+0.0689415
+0.0669367
+0.0649431
+0.0629626
+0.0609964
+0.0590461
+0.0571132
+0.0551996
+0.0533073
+0.0514387
+0.0495965
+0.0477836
+0.0460037
+0.0442607
+0.042559
+0.0408973
+0.0392859
+0.037733
+0.036246
+0.0348334
+0.0335045
+0.0322698
+0.030989
+0.0293623
+0.0278097
+0.0263457
+0.0249882
+0.0237554
+0.0226678
+0.0217468
+0.020974
+0.0204048
+0.02006
+0.0199511
+0.020082
+0.0204268
+0.0202541
+0.0198529
+0.0196846
+0.0197164
+0.0199833
+0.0204431
+0.0211213
+0.0219373
+0.0200724
+0.01828
+0.01657
+0.0149588
+0.013494
+0.0121779
+0.0110831
+0.0102618
+0.00970995
+0.00940871
+0.00937617
+0.00952208
+0.00986634
+0.0102605
+0.0106424
+0.0110625
+0.0117779
+0.0125302
+0.0132386
+0.0141271
+0.01499
+0.0157941
+0.0164171
+0.0168875
+0.0174831
+0.0176001
+0.0177549
+0.01749
+0.0173988
+0.0175473
+0.0179368
+0.0185585
+0.0193996
+0.0204315
+0.0216367
+0.0229873
+0.0244264
+0.025968
+0.0275976
+0.0293004
+0.0310644
+0.0328797
+0.0340237
+0.0350529
+0.0361353
+0.037293
+0.0385018
+0.0397849
+0.0411089
+0.0425046
+0.0439652
+0.0454697
+0.0469816
+0.0485277
+0.0501219
+0.0703532
+0.0683202
+0.0662966
+0.0642832
+0.0622817
+0.0602933
+0.0583195
+0.0563617
+0.0544217
+0.0525013
+0.050603
+0.0487291
+0.0468828
+0.0450673
+0.0432866
+0.041545
+0.039841
+0.0381851
+0.0365855
+0.0350499
+0.033587
+0.0322068
+0.0309203
+0.0297397
+0.0283849
+0.0267736
+0.0252497
+0.0238301
+0.0225342
+0.0213848
+0.0204066
+0.0195989
+0.0189885
+0.0186175
+0.0185001
+0.0186412
+0.0190071
+0.0187231
+0.0182883
+0.0181099
+0.0181506
+0.0184471
+0.0189643
+0.0196935
+0.0205946
+0.0200753
+0.0182832
+0.0165846
+0.0149644
+0.0135033
+0.0122148
+0.0111456
+0.0104102
+0.00991889
+0.00970622
+0.00977021
+0.00999538
+0.01045
+0.0109664
+0.0112914
+0.0119282
+0.0124555
+0.0132899
+0.0140591
+0.0148736
+0.0154955
+0.0161853
+0.0169858
+0.0174581
+0.01777
+0.0179662
+0.0182347
+0.0179646
+0.0178412
+0.0179687
+0.0183494
+0.0189576
+0.0197817
+0.0207946
+0.0219799
+0.0233101
+0.0247309
+0.0262547
+0.0278675
+0.0295547
+0.0313044
+0.0331066
+0.0349532
+0.0362009
+0.03725
+0.0383741
+0.0395499
+0.0408074
+0.0421142
+0.0434776
+0.0449066
+0.0463951
+0.047904
+0.0494386
+0.0510043
+0.0698132
+0.0677641
+0.0657234
+0.0636918
+0.0616711
+0.0596624
+0.057667
+0.0556863
+0.0537218
+0.0517755
+0.0498496
+0.0479463
+0.0460686
+0.0442197
+0.0424034
+0.040624
+0.0388796
+0.0371809
+0.0355361
+0.0339531
+0.0324408
+0.0310096
+0.0296712
+0.0284389
+0.027326
+0.0258687
+0.0242881
+0.0228087
+0.0214513
+0.0202404
+0.019204
+0.0183714
+0.0177253
+0.0173272
+0.017201
+0.0173527
+0.0177318
+0.0173343
+0.0168638
+0.0166701
+0.0167222
+0.0170435
+0.0176135
+0.0183963
+0.0193507
+0.0202916
+0.0185147
+0.0168288
+0.0152439
+0.0138032
+0.0125614
+0.0115329
+0.0108457
+0.0104208
+0.0103126
+0.0104567
+0.0107354
+0.0106979
+0.0110279
+0.011588
+0.0122179
+0.0128289
+0.01363
+0.014337
+0.0153232
+0.0160247
+0.0167328
+0.0172699
+0.017791
+0.0181805
+0.0183723
+0.0188189
+0.0186248
+0.0184939
+0.0186169
+0.0189935
+0.0195924
+0.0203816
+0.0213661
+0.0225202
+0.0237954
+0.0251964
+0.0267039
+0.0283007
+0.0299675
+0.0316944
+0.0334756
+0.0353029
+0.0371696
+0.0384487
+0.0395472
+0.040689
+0.0419124
+0.043193
+0.0445372
+0.0459333
+0.0473895
+0.0488928
+0.0504112
+0.0519641
+0.0693372
+0.0672722
+0.0652153
+0.0631674
+0.0611293
+0.0591023
+0.0570873
+0.0550857
+0.053099
+0.051129
+0.0491777
+0.0472474
+0.0453408
+0.0434609
+0.0416115
+0.0397967
+0.0380203
+0.0362814
+0.0345939
+0.0329656
+0.0314057
+0.0299251
+0.0285359
+0.0272523
+0.0260897
+0.0250497
+0.0234895
+0.0219561
+0.0205422
+0.0192741
+0.0181824
+0.0173004
+0.0166196
+0.0161944
+0.0160593
+0.0162217
+0.0166347
+0.0160794
+0.0155767
+0.0153669
+0.0154647
+0.0158116
+0.016436
+0.0172594
+0.0182585
+0.0194199
+0.0189801
+0.0173395
+0.0158061
+0.0144217
+0.0132387
+0.0122686
+0.011625
+0.011298
+0.0112506
+0.0111709
+0.0111928
+0.0111568
+0.0114737
+0.0121729
+0.0127721
+0.0133979
+0.013969
+0.0145704
+0.0153012
+0.0159819
+0.0164711
+0.0172046
+0.0181071
+0.018654
+0.018967
+0.0193795
+0.019473
+0.0193635
+0.0194811
+0.0198413
+0.0204013
+0.0211593
+0.0221093
+0.0232265
+0.0244649
+0.0258296
+0.0273021
+0.0288659
+0.0305069
+0.0322134
+0.0339755
+0.0357836
+0.0376264
+0.0395047
+0.0407927
+0.0419118
+0.0431004
+0.0443467
+0.0456639
+0.0470396
+0.0484626
+0.0499336
+0.0514512
+0.052981
+0.0688252
+0.0668376
+0.0647674
+0.0627053
+0.0606522
+0.0586091
+0.056577
+0.0545573
+0.0525507
+0.0505594
+0.0485852
+0.0466304
+0.0446974
+0.0427893
+0.0409096
+0.0390622
+0.037252
+0.0354848
+0.0337673
+0.0320974
+0.0304932
+0.0289659
+0.0275284
+0.0261954
+0.0249837
+0.0238957
+0.0228311
+0.0212503
+0.019786
+0.0184661
+0.0173235
+0.0163954
+0.0157031
+0.0152523
+0.0151088
+0.0152813
+0.0157341
+0.0150397
+0.0145011
+0.0142755
+0.0143838
+0.0147723
+0.0154452
+0.0162953
+0.01735
+0.0185682
+0.0196734
+0.0180938
+0.016632
+0.015307
+0.014198
+0.0133257
+0.0127356
+0.0124338
+0.0123054
+0.0118693
+0.0117433
+0.0119629
+0.0122726
+0.0127811
+0.0131231
+0.0135074
+0.014074
+0.0146704
+0.0153964
+0.0157909
+0.0162774
+0.0170192
+0.0179986
+0.0191394
+0.0197709
+0.0199727
+0.0201834
+0.020417
+0.0205285
+0.0208707
+0.0214038
+0.0221275
+0.0230375
+0.0241118
+0.0253069
+0.0266285
+0.0280591
+0.0295829
+0.0311862
+0.0328575
+0.0345867
+0.0363658
+0.0381877
+0.0400465
+0.0419374
+0.0432111
+0.0443649
+0.0455767
+0.0468593
+0.0482074
+0.0496093
+0.0510472
+0.0525327
+0.0540661
+0.0681849
+0.0661808
+0.0641888
+0.0622102
+0.0602463
+0.0581919
+0.0561448
+0.0541089
+0.0520855
+0.0500762
+0.0480828
+0.0461073
+0.0441521
+0.04222
+0.0403144
+0.0384386
+0.0365976
+0.0347972
+0.0330439
+0.0313458
+0.0297121
+0.028145
+0.0266632
+0.0252847
+0.0240271
+0.0228913
+0.0219091
+0.0207528
+0.0192507
+0.0178913
+0.0167095
+0.0157453
+0.015022
+0.0145501
+0.0143997
+0.0145805
+0.0150547
+0.0142412
+0.0136941
+0.0134549
+0.0135698
+0.013981
+0.0146919
+0.0155815
+0.0166813
+0.0179451
+0.0193747
+0.0190618
+0.0176753
+0.0164347
+0.015407
+0.0146301
+0.0140935
+0.0135455
+0.0130541
+0.0125799
+0.0124611
+0.012724
+0.0128387
+0.0130607
+0.0133473
+0.0139459
+0.014512
+0.0150911
+0.0155404
+0.0158774
+0.0163659
+0.0171024
+0.0180754
+0.0192239
+0.0203604
+0.0207212
+0.0208949
+0.02126
+0.0217469
+0.0220701
+0.022575
+0.0232622
+0.0241295
+0.0251572
+0.0263048
+0.0275787
+0.0289624
+0.030441
+0.0320014
+0.0336321
+0.0353235
+0.0370672
+0.0388562
+0.0406845
+0.0425471
+0.0444395
+0.0456995
+0.0468768
+0.0481247
+0.0494383
+0.0508125
+0.0522291
+0.0536818
+0.0551833
+0.0676095
+0.0655878
+0.0635773
+0.061579
+0.0595943
+0.0576246
+0.0556713
+0.0537363
+0.0517085
+0.049684
+0.0476742
+0.045681
+0.0437068
+0.0417541
+0.0398262
+0.0379268
+0.0360605
+0.0342327
+0.0324498
+0.0307198
+0.0290519
+0.0274577
+0.0259496
+0.0245291
+0.0232053
+0.0220204
+0.0209977
+0.0201621
+0.018955
+0.0175728
+0.0163615
+0.0153548
+0.0146096
+0.0141496
+0.0139948
+0.0141808
+0.0145477
+0.0137042
+0.0131746
+0.0129568
+0.0130761
+0.0135023
+0.0142306
+0.0151534
+0.0162822
+0.0175747
+0.0190322
+0.0202147
+0.0189096
+0.017761
+0.0168147
+0.0160781
+0.0150611
+0.014295
+0.0137266
+0.0134038
+0.0130898
+0.0131264
+0.0131892
+0.01346
+0.013731
+0.0142977
+0.01502
+0.0155254
+0.0159234
+0.0162196
+0.016698
+0.0174205
+0.0183767
+0.0195327
+0.02071
+0.0216378
+0.0218021
+0.0221522
+0.0226793
+0.0233897
+0.0238689
+0.0245199
+0.0253442
+0.0263254
+0.0274417
+0.0286651
+0.0299987
+0.0314286
+0.0329423
+0.0345286
+0.0361781
+0.0378825
+0.0396347
+0.0414286
+0.0432592
+0.0451218
+0.0470127
+0.0482413
+0.0494549
+0.0507341
+0.052074
+0.0534701
+0.0548944
+0.0563636
+0.0671008
+0.0650633
+0.063036
+0.06102
+0.0590165
+0.0570268
+0.0550523
+0.0530948
+0.0511562
+0.0492388
+0.047345
+0.0453567
+0.0433676
+0.041399
+0.0394537
+0.0375355
+0.0356487
+0.0337986
+0.0319916
+0.0302353
+0.0285392
+0.0269146
+0.0253752
+0.0239194
+0.0225599
+0.0213391
+0.0202821
+0.0194157
+0.0187663
+0.0174722
+0.0162524
+0.0152385
+0.0144873
+0.0140233
+0.0138671
+0.0140549
+0.0143605
+0.0135053
+0.0129676
+0.0127535
+0.0128747
+0.0133147
+0.0140392
+0.0150052
+0.01616
+0.0174732
+0.0189385
+0.0205334
+0.0202567
+0.0189726
+0.0178548
+0.0168278
+0.0157871
+0.0149401
+0.0143737
+0.0140969
+0.0137905
+0.0138217
+0.0138751
+0.0141331
+0.0143956
+0.014938
+0.0156308
+0.016232
+0.0165574
+0.016842
+0.0173033
+0.0180015
+0.0189283
+0.0200526
+0.0212323
+0.0222547
+0.0228511
+0.0231854
+0.0236837
+0.0243649
+0.0252185
+0.0258984
+0.0266802
+0.027614
+0.028685
+0.0298729
+0.0311549
+0.032534
+0.0339985
+0.0355377
+0.0371424
+0.0388044
+0.0405168
+0.0422733
+0.0440688
+0.0458986
+0.0477588
+0.0496459
+0.0508447
+0.0520897
+0.0533956
+0.0547581
+0.0561662
+0.057603
+0.0666602
+0.0646088
+0.0625668
+0.0605352
+0.0585151
+0.0565077
+0.0545144
+0.0525369
+0.0505769
+0.0486366
+0.0467185
+0.0448253
+0.0429605
+0.0411255
+0.0392003
+0.0372691
+0.0353681
+0.0335025
+0.0316785
+0.0299039
+0.0281878
+0.0265417
+0.0249794
+0.0234989
+0.0221135
+0.0208666
+0.0197844
+0.0188952
+0.0182273
+0.0176442
+0.0164372
+0.0154355
+0.0146943
+0.0142371
+0.0140833
+0.0142681
+0.0144545
+0.0136417
+0.0131097
+0.0129166
+0.0130363
+0.0134685
+0.0141876
+0.0151441
+0.016289
+0.0176072
+0.0190657
+0.020654
+0.0210766
+0.0198457
+0.0187742
+0.0176492
+0.0166094
+0.0158009
+0.0152665
+0.0150353
+0.0147817
+0.0147768
+0.014798
+0.0150402
+0.0152897
+0.0158065
+0.0165119
+0.0171244
+0.0174453
+0.0177131
+0.0181544
+0.0188211
+0.0197094
+0.0207915
+0.0219315
+0.0229226
+0.0240486
+0.0243713
+0.0248413
+0.0254915
+0.0263086
+0.0272776
+0.0281235
+0.0290109
+0.0300321
+0.0311741
+0.032418
+0.0337455
+0.0351596
+0.0366501
+0.0382081
+0.0398257
+0.0414959
+0.0432127
+0.0449707
+0.0467652
+0.0485922
+0.0504482
+0.0522893
+0.0535007
+0.0547731
+0.0561021
+0.0574839
+0.0588978
+0.0662891
+0.0642258
+0.0621713
+0.0601263
+0.058092
+0.0560695
+0.05406
+0.0520652
+0.0500868
+0.0481267
+0.0461874
+0.0442716
+0.0423824
+0.0405212
+0.0386837
+0.0368848
+0.0351303
+0.0333479
+0.031515
+0.0297306
+0.0280039
+0.0263463
+0.0247716
+0.0232746
+0.0218784
+0.0206173
+0.0195213
+0.0186195
+0.0179413
+0.0175126
+0.0169063
+0.015934
+0.0152171
+0.0147553
+0.0146069
+0.0147852
+0.014845
+0.0140721
+0.013557
+0.0133705
+0.0134862
+0.0139042
+0.0146211
+0.0155665
+0.0167068
+0.0179949
+0.0194243
+0.0209855
+0.0220753
+0.0208832
+0.0197988
+0.0186476
+0.0176616
+0.0169036
+0.016405
+0.0161807
+0.0159756
+0.0159504
+0.01597
+0.0161947
+0.0164267
+0.0169088
+0.0176072
+0.0182068
+0.0185507
+0.0187918
+0.0192187
+0.0198497
+0.0206939
+0.021727
+0.0228203
+0.0237744
+0.0248619
+0.0256851
+0.0261315
+0.0267504
+0.0275302
+0.0284576
+0.0295038
+0.0305013
+0.0314742
+0.0325657
+0.0337642
+0.0350523
+0.0364156
+0.0378567
+0.0393669
+0.0409388
+0.0425654
+0.0442407
+0.0459593
+0.0477167
+0.0495086
+0.0513314
+0.0531821
+0.0549629
+0.0562021
+0.0573531
+0.0580871
+0.0588919
+0.0659887
+0.0639157
+0.0618509
+0.0597949
+0.057749
+0.055714
+0.0536912
+0.0516822
+0.0496885
+0.0477121
+0.0457552
+0.0438201
+0.0419062
+0.0400185
+0.0381632
+0.0363421
+0.0345566
+0.0328136
+0.0311271
+0.029507
+0.0279648
+0.0263323
+0.0247318
+0.0232186
+0.0218206
+0.0205615
+0.0194682
+0.0185636
+0.0178827
+0.0174519
+0.0172539
+0.0167072
+0.0159953
+0.015553
+0.0154123
+0.0155814
+0.0155049
+0.0147679
+0.0142779
+0.0140869
+0.0141967
+0.0146237
+0.0153069
+0.0162441
+0.0173687
+0.0186338
+0.0200176
+0.0215358
+0.0231191
+0.0220457
+0.0209192
+0.019807
+0.0188817
+0.0181736
+0.0176961
+0.017482
+0.0173458
+0.0173226
+0.0173407
+0.0175255
+0.0177402
+0.0181909
+0.0188592
+0.019468
+0.0198264
+0.0200225
+0.0204399
+0.0210534
+0.0218511
+0.0228319
+0.0238776
+0.0247911
+0.0258359
+0.0270054
+0.0275358
+0.0281238
+0.0288665
+0.0297523
+0.0307548
+0.0318611
+0.0329988
+0.0340414
+0.0351897
+0.0364336
+0.037757
+0.0391487
+0.040611
+0.0421365
+0.0437185
+0.0453512
+0.0470293
+0.0487481
+0.0505034
+0.0522916
+0.0541094
+0.055813
+0.0563954
+0.0570561
+0.0577922
+0.0586011
+0.0657599
+0.0636795
+0.0616067
+0.0595424
+0.0574874
+0.0554428
+0.0534098
+0.0513898
+0.0493828
+0.0473885
+0.0454118
+0.0434556
+0.0415227
+0.0396168
+0.0377417
+0.0359025
+0.0340905
+0.0323223
+0.0306088
+0.0289598
+0.0273867
+0.0259036
+0.0245267
+0.0232748
+0.0219803
+0.0207309
+0.019647
+0.018751
+0.0180771
+0.0176511
+0.0174554
+0.0175161
+0.0170184
+0.0166033
+0.0164716
+0.01663
+0.0164265
+0.0157131
+0.0152535
+0.0150545
+0.0151572
+0.0155707
+0.0162317
+0.0171319
+0.0182436
+0.0192385
+0.0203497
+0.0215995
+0.0229833
+0.0233475
+0.0221667
+0.0211179
+0.0202525
+0.0195879
+0.0191456
+0.0189479
+0.0188715
+0.0188502
+0.0188497
+0.0189959
+0.0191941
+0.0196269
+0.0202515
+0.0208421
+0.021218
+0.0214013
+0.0217923
+0.0223693
+0.0231217
+0.0240507
+0.02507
+0.0259415
+0.0269531
+0.0280762
+0.0290376
+0.0295958
+0.0303024
+0.0311474
+0.0321068
+0.033168
+0.0343364
+0.0355909
+0.0366907
+0.0378854
+0.0391662
+0.0405181
+0.0419327
+0.0434117
+0.0449489
+0.0465385
+0.0481752
+0.0498545
+0.0515722
+0.0533246
+0.0550797
+0.0555925
+0.0561772
+0.0568403
+0.0575792
+0.058391
+0.0656035
+0.063518
+0.0614398
+0.0593696
+0.0573083
+0.0552543
+0.053209
+0.0511758
+0.0491561
+0.0471516
+0.0451645
+0.0431971
+0.0412522
+0.0393331
+0.0374439
+0.0355892
+0.0337604
+0.031974
+0.0302407
+0.0285704
+0.0269747
+0.0254675
+0.0240657
+0.0227885
+0.0216581
+0.0206985
+0.0199338
+0.0191835
+0.0185254
+0.0181099
+0.0179205
+0.0179796
+0.0182382
+0.0178515
+0.0177291
+0.0178763
+0.0175676
+0.0168761
+0.0164477
+0.0162507
+0.0159736
+0.0159029
+0.0160778
+0.0165436
+0.0172767
+0.0182448
+0.0194129
+0.0207193
+0.0221582
+0.0237124
+0.0235501
+0.0225656
+0.0217579
+0.021135
+0.0207258
+0.0205433
+0.0205012
+0.0204816
+0.0204803
+0.0205948
+0.0207777
+0.0211868
+0.0217722
+0.0223438
+0.0227358
+0.0229069
+0.0232727
+0.0238138
+0.0245219
+0.0253998
+0.0263716
+0.0272014
+0.0281775
+0.0292719
+0.0302554
+0.0311276
+0.0318187
+0.0326244
+0.0335474
+0.0345644
+0.0356871
+0.0369058
+0.0382113
+0.0394055
+0.0406385
+0.0419497
+0.0433249
+0.0447579
+0.0462504
+0.0477967
+0.0493918
+0.051031
+0.0527104
+0.0544261
+0.0549436
+0.0554496
+0.0560357
+0.0566983
+0.0573976
+0.058171
+0.0655201
+0.063431
+0.061346
+0.0592681
+0.0571985
+0.0551384
+0.0530886
+0.0510506
+0.0490257
+0.0470158
+0.0450226
+0.0430487
+0.0410968
+0.0391701
+0.0372726
+0.035409
+0.0335703
+0.0317731
+0.0300283
+0.0283455
+0.0267363
+0.025215
+0.0237982
+0.0225059
+0.0213605
+0.020387
+0.0196102
+0.0190096
+0.0186464
+0.0185367
+0.0186029
+0.0186599
+0.0189714
+0.0192576
+0.0191442
+0.0192806
+0.0182227
+0.0170742
+0.0161428
+0.0154676
+0.0150833
+0.0150084
+0.0151936
+0.0156857
+0.016457
+0.0174706
+0.0186872
+0.0200409
+0.0215252
+0.023122
+0.0248097
+0.0241257
+0.023367
+0.0227879
+0.0224089
+0.0222402
+0.0222274
+0.0222093
+0.0222075
+0.0222945
+0.0224636
+0.0228425
+0.0233994
+0.023952
+0.0243562
+0.0245161
+0.0248582
+0.0253655
+0.0260315
+0.02686
+0.0277851
+0.0285739
+0.0292396
+0.0298415
+0.0305814
+0.031456
+0.0324409
+0.0335374
+0.0347376
+0.0360312
+0.0371181
+0.0382913
+0.0395511
+0.0408895
+0.0421732
+0.0434381
+0.0447745
+0.0461689
+0.0476171
+0.0491204
+0.0506738
+0.0522729
+0.0539136
+0.0543884
+0.054811
+0.0553173
+0.0558956
+0.0565198
+0.0572179
+0.0579867
+0.0654996
+0.0634064
+0.06132
+0.0592411
+0.0571706
+0.0551093
+0.0530585
+0.0510193
+0.0489931
+0.0469817
+0.0449871
+0.0430116
+0.0410578
+0.0391292
+0.0372297
+0.0353638
+0.0335225
+0.0317227
+0.0299749
+0.0282889
+0.0266764
+0.0251514
+0.0237308
+0.0224346
+0.0212854
+0.0203083
+0.0195283
+0.0189252
+0.0185604
+0.0184502
+0.0185992
+0.0190013
+0.0196324
+0.0203828
+0.0195768
+0.0189907
+0.0177205
+0.0165372
+0.0155736
+0.0148727
+0.0144725
+0.0143944
+0.0145875
+0.0150993
+0.0158991
+0.0169461
+0.0181978
+0.0195854
+0.0211017
+0.0227283
+0.0244432
+0.0257777
+0.0250642
+0.0245252
+0.0241735
+0.0240172
+0.0240294
+0.0240127
+0.0240105
+0.0240726
+0.0242293
+0.024581
+0.0251124
+0.0256467
+0.0260602
+0.0262097
+0.0265299
+0.0270059
+0.0276323
+0.0284143
+0.0289849
+0.0292748
+0.0297191
+0.030313
+0.0310416
+0.0319044
+0.0328907
+0.0339849
+0.0351698
+0.036448
+0.0377831
+0.0389443
+0.0401914
+0.0415166
+0.0429129
+0.0443718
+0.0458841
+0.0474493
+0.0490341
+0.0505045
+0.0520166
+0.0535756
+0.0539622
+0.0542864
+0.0546789
+0.0551527
+0.0556948
+0.0563142
+0.0570111
+0.0577827
+0.0655484
+0.0634568
+0.0613721
+0.0592951
+0.0572265
+0.0551674
+0.0531188
+0.0510819
+0.0490584
+0.0470498
+0.0450582
+0.0430859
+0.0411357
+0.0392109
+0.0373155
+0.0354541
+0.0336178
+0.0318233
+0.0300814
+0.0284017
+0.026796
+0.0252782
+0.0238651
+0.0225727
+0.0214234
+0.0204451
+0.019663
+0.0190783
+0.0187164
+0.0186071
+0.0187549
+0.0191537
+0.0197712
+0.0192031
+0.0183454
+0.0177185
+0.0173384
+0.0162796
+0.0152998
+0.0145857
+0.0141774
+0.0140977
+0.0142948
+0.0148167
+0.015631
+0.0166949
+0.017964
+0.0193578
+0.0208854
+0.0225228
+0.0242452
+0.0260375
+0.026833
+0.0263302
+0.0260029
+0.0258577
+0.0258779
+0.0258759
+0.0258733
+0.0259092
+0.0260549
+0.0263823
+0.0268847
+0.0271516
+0.0270748
+0.0271749
+0.0274308
+0.027776
+0.0282659
+0.0287758
+0.0291373
+0.0294525
+0.0299252
+0.030548
+0.031312
+0.0322072
+0.033222
+0.034324
+0.0355267
+0.0368205
+0.0381962
+0.0394991
+0.0407293
+0.0420376
+0.0434171
+0.0448612
+0.0463639
+0.0479194
+0.0495168
+0.0511582
+0.0528394
+0.0535895
+0.0538321
+0.0541571
+0.0545505
+0.0550255
+0.0555688
+0.0561895
+0.056888
+0.0576612
+0.0656703
+0.0635827
+0.0615023
+0.0594298
+0.0573661
+0.0553122
+0.0532691
+0.0512383
+0.0492212
+0.0472195
+0.0452353
+0.0432711
+0.0413297
+0.0394144
+0.0375292
+0.0356692
+0.0338422
+0.0320607
+0.0303329
+0.0286684
+0.0270729
+0.0255653
+0.0241625
+0.0228838
+0.021751
+0.020788
+0.0200194
+0.0194453
+0.0190904
+0.0189833
+0.0191281
+0.0195193
+0.0192996
+0.0182034
+0.0173036
+0.0166375
+0.0162419
+0.0160928
+0.0152825
+0.0145676
+0.0141588
+0.0140828
+0.0142911
+0.0148131
+0.0156276
+0.0166916
+0.0179481
+0.0193394
+0.0208684
+0.022507
+0.0242305
+0.0260238
+0.027874
+0.02819
+0.0278845
+0.0277492
+0.027768
+0.0277869
+0.0277841
+0.0277972
+0.0278819
+0.0273863
+0.0270499
+0.0267942
+0.0267164
+0.0268179
+0.0270967
+0.0275302
+0.0278899
+0.0284142
+0.0290566
+0.0294946
+0.0299666
+0.0305886
+0.0313516
+0.0322457
+0.0332603
+0.0343678
+0.0355689
+0.0368612
+0.0382354
+0.0396831
+0.0411964
+0.0426648
+0.0440247
+0.0454495
+0.0469333
+0.0484705
+0.0500504
+0.0516748
+0.0533398
+0.0535482
+0.053791
+0.0541162
+0.05451
+0.0549852
+0.0555209
+0.0561257
+0.0568086
+0.0575668
+0.0658649
+0.0637837
+0.06171
+0.0596448
+0.0575888
+0.0555431
+0.0535088
+0.0514874
+0.0494805
+0.0474897
+0.0455174
+0.0435659
+0.0416382
+0.0397344
+0.0378501
+0.0360005
+0.0341911
+0.0324288
+0.0307217
+0.0290794
+0.0275078
+0.0260254
+0.0246488
+0.0233967
+0.02229
+0.0213513
+0.0206037
+0.0200464
+0.0197023
+0.0195986
+0.0197389
+0.0198731
+0.0185534
+0.0174103
+0.0164805
+0.0157882
+0.0153707
+0.0152114
+0.0153531
+0.0148694
+0.0144692
+0.0143949
+0.0145986
+0.0151101
+0.0159093
+0.0169557
+0.0181939
+0.0195678
+0.0210802
+0.0227035
+0.0244132
+0.026194
+0.0280329
+0.0299193
+0.0298084
+0.0296818
+0.0296994
+0.0296856
+0.0287559
+0.0279674
+0.0273028
+0.0267965
+0.0264625
+0.0263073
+0.026334
+0.0265275
+0.0268785
+0.0273198
+0.0276823
+0.0282104
+0.0288574
+0.0294562
+0.0300016
+0.030694
+0.0315225
+0.0324119
+0.0334214
+0.0345405
+0.0357456
+0.0370317
+0.0383999
+0.0398415
+0.0413491
+0.0429155
+0.0445346
+0.0461343
+0.0475969
+0.0491133
+0.0506731
+0.0522782
+0.0534191
+0.0535813
+0.0538304
+0.054111
+0.0544677
+0.0549096
+0.0554346
+0.0560403
+0.0567243
+0.0574749
+0.0661315
+0.064059
+0.0619945
+0.0599391
+0.0578935
+0.055859
+0.0538367
+0.0518281
+0.0498348
+0.0478588
+0.0459024
+0.0439677
+0.0420472
+0.0401518
+0.038288
+0.0364605
+0.0346752
+0.0329388
+0.0312595
+0.0296471
+0.0281072
+0.0266582
+0.025316
+0.0240986
+0.0230256
+0.0221182
+0.0213974
+0.0208613
+0.0205309
+0.0204313
+0.020566
+0.019355
+0.0180297
+0.0168606
+0.0158769
+0.0151482
+0.0147126
+0.0145857
+0.0147334
+0.0151987
+0.0150944
+0.0150232
+0.0152185
+0.0157098
+0.01648
+0.0174923
+0.018695
+0.0200345
+0.0215141
+0.023107
+0.0247888
+0.0265445
+0.0283607
+0.0302266
+0.0317668
+0.0315646
+0.0303776
+0.0293065
+0.0283645
+0.0275647
+0.0268902
+0.026376
+0.0260366
+0.0258788
+0.025906
+0.0261026
+0.0264593
+0.0269896
+0.0276237
+0.0281761
+0.0287619
+0.0294203
+0.0300002
+0.0306926
+0.0315224
+0.0324789
+0.0335515
+0.0347251
+0.035989
+0.0373121
+0.038675
+0.0401112
+0.0416133
+0.0431734
+0.0447832
+0.0464404
+0.0481383
+0.0498441
+0.0513818
+0.0529654
+0.0534704
+0.0536319
+0.0538232
+0.0540839
+0.0544237
+0.054849
+0.0553578
+0.0559478
+0.0566164
+0.057361
+0.0664693
+0.0644077
+0.0623548
+0.0603116
+0.0582791
+0.0562585
+0.0542511
+0.0522584
+0.0502822
+0.0483245
+0.046382
+0.0444555
+0.0425547
+0.0406829
+0.0388446
+0.0370446
+0.0352888
+0.0335842
+0.0319389
+0.0303626
+0.0288609
+0.0274517
+0.0261503
+0.0249735
+0.0239398
+0.0230684
+0.0223782
+0.0218636
+0.0215485
+0.0214537
+0.0205634
+0.0190712
+0.0177248
+0.0165341
+0.0155297
+0.014784
+0.0143373
+0.0142127
+0.0143643
+0.0148412
+0.0156137
+0.0159304
+0.0161147
+0.0165795
+0.017311
+0.0182774
+0.0194315
+0.0207235
+0.0221571
+0.0237068
+0.0253489
+0.0270682
+0.0288515
+0.0306874
+0.0325609
+0.0313618
+0.0301668
+0.029088
+0.0281386
+0.0273323
+0.0266518
+0.026133
+0.0257904
+0.0256311
+0.0256585
+0.025857
+0.026217
+0.0267521
+0.0273917
+0.0280213
+0.0285392
+0.0292026
+0.0299903
+0.0308473
+0.031673
+0.0326251
+0.033693
+0.0348619
+0.036121
+0.0374659
+0.0388878
+0.0403785
+0.0419308
+0.0435197
+0.0451211
+0.0467703
+0.0484625
+0.0501924
+0.0519427
+0.0535247
+0.0535589
+0.0536343
+0.0537989
+0.0540518
+0.0543918
+0.0548173
+0.0553264
+0.0559167
+0.0565857
+0.0573307
+0.0668772
+0.0648285
+0.0627894
+0.0607608
+0.0587439
+0.0567398
+0.0547501
+0.0527763
+0.0508188
+0.0488714
+0.0469449
+0.0450425
+0.0431675
+0.0413235
+0.039515
+0.037747
+0.0360255
+0.0343574
+0.032751
+0.0312157
+0.0297571
+0.0283924
+0.0271361
+0.026004
+0.0250129
+0.0241802
+0.0235172
+0.023017
+0.022718
+0.022139
+0.0205279
+0.0190295
+0.0176682
+0.0164865
+0.0154876
+0.0147397
+0.0142917
+0.0141667
+0.0143188
+0.0147971
+0.0155718
+0.0166014
+0.0172228
+0.0176584
+0.0183404
+0.0192466
+0.0203492
+0.0215982
+0.0229741
+0.024469
+0.0260626
+0.0277368
+0.0294726
+0.0312656
+0.0322081
+0.0309808
+0.0298639
+0.0288703
+0.0280132
+0.0272743
+0.0265924
+0.0260724
+0.025729
+0.0255693
+0.0255968
+0.0257958
+0.0261566
+0.0266929
+0.0273088
+0.0279648
+0.0284837
+0.0291484
+0.0299376
+0.0308624
+0.031911
+0.0329168
+0.0339755
+0.035135
+0.0363846
+0.0377201
+0.0391328
+0.0406146
+0.0421581
+0.0437569
+0.0454052
+0.0470976
+0.0488229
+0.0505798
+0.0523378
+0.0536168
+0.0536104
+0.0536857
+0.0538501
+0.0541027
+0.0544424
+0.0548676
+0.0553762
+0.055966
+0.0566344
+0.0573787
+0.0673539
+0.0653202
+0.0632969
+0.0612851
+0.059286
+0.0573009
+0.0553274
+0.0533697
+0.051427
+0.049503
+0.047602
+0.045727
+0.0438812
+0.0420686
+0.0402935
+0.0385612
+0.0368777
+0.03525
+0.0336861
+0.0321955
+0.0307834
+0.0294662
+0.0282577
+0.0271724
+0.0262255
+0.0254325
+0.0247875
+0.0243135
+0.0239773
+0.0222839
+0.0206841
+0.0191978
+0.0178494
+0.0166806
+0.0156998
+0.0149626
+0.0145214
+0.0144035
+0.0145685
+0.0150389
+0.0158018
+0.0168173
+0.0180278
+0.0188991
+0.0195394
+0.0203924
+0.0214362
+0.0226252
+0.0239422
+0.0253802
+0.0269198
+0.0285438
+0.0302333
+0.0319837
+0.0319842
+0.0307479
+0.0296222
+0.0286203
+0.0277554
+0.0270407
+0.026466
+0.0260506
+0.025815
+0.025671
+0.0256984
+0.0258966
+0.0262561
+0.0267904
+0.0273926
+0.0280576
+0.0285965
+0.0292585
+0.0300448
+0.0309665
+0.0320117
+0.0331689
+0.034323
+0.0355413
+0.0367771
+0.0380989
+0.039498
+0.0409665
+0.0424973
+0.0440838
+0.0457203
+0.0474015
+0.0491161
+0.0508629
+0.0526429
+0.0536768
+0.0536704
+0.0537456
+0.0539098
+0.0541622
+0.0545015
+0.0549262
+0.0554342
+0.0560234
+0.0566912
+0.0574348
+0.067898
+0.0658811
+0.0638749
+0.0618776
+0.0598936
+0.0579245
+0.0559719
+0.0540375
+0.0521197
+0.0502222
+0.0483496
+0.0465047
+0.0446911
+0.0429126
+0.041174
+0.0394803
+0.0378377
+0.0362532
+0.0347345
+0.0332908
+0.0319272
+0.0306592
+0.0294996
+0.0284617
+0.0275591
+0.0268003
+0.0261798
+0.0257315
+0.0243093
+0.0226408
+0.0210681
+0.0196109
+0.018293
+0.0171545
+0.0162024
+0.0154891
+0.0150633
+0.0149497
+0.0151087
+0.0155628
+0.0163012
+0.0172874
+0.0184672
+0.0198074
+0.0209
+0.0216996
+0.0226833
+0.0238101
+0.0250649
+0.0264419
+0.0279231
+0.0294918
+0.0311299
+0.0328325
+0.0318331
+0.0306649
+0.0295363
+0.0285316
+0.0276643
+0.0269475
+0.0263722
+0.0259553
+0.0257188
+0.0256678
+0.0258033
+0.0261225
+0.0265247
+0.0270537
+0.0276502
+0.0282672
+0.0288657
+0.0295026
+0.0302848
+0.0312016
+0.0322392
+0.0333885
+0.0345826
+0.0358212
+0.0371477
+0.0385436
+0.03998
+0.0414315
+0.0429457
+0.0445162
+0.0461374
+0.0478039
+0.0495046
+0.0512381
+0.0530055
+0.053826
+0.0538195
+0.0538945
+0.0540583
+0.05431
+0.0546484
+0.0550719
+0.0555787
+0.0561663
+0.0568324
+0.0575742
+0.0685021
+0.0664992
+0.0645086
+0.0625313
+0.0605688
+0.0586223
+0.0566938
+0.0547849
+0.0528941
+0.0510255
+0.0491834
+0.047371
+0.0455919
+0.04385
+0.04215
+0.0404972
+0.0388976
+0.037358
+0.0358861
+0.0344907
+0.0331764
+0.031958
+0.0308473
+0.0298563
+0.0289971
+0.0282634
+0.0276757
+0.0265424
+0.0248309
+0.0231999
+0.0216679
+0.0202539
+0.0189806
+0.0178832
+0.0169603
+0.01628
+0.0158754
+0.0157675
+0.0159192
+0.0163509
+0.0170551
+0.0180001
+0.019148
+0.0204442
+0.0218828
+0.0231406
+0.0240655
+0.0251257
+0.0263179
+0.0276325
+0.0290531
+0.0305647
+0.032151
+0.0327458
+0.031505
+0.0303718
+0.0293585
+0.0284554
+0.0276861
+0.0270083
+0.0264358
+0.0260199
+0.025784
+0.0257331
+0.0258683
+0.0261867
+0.0266441
+0.0272041
+0.027877
+0.0283265
+0.0289353
+0.0295907
+0.0303707
+0.031285
+0.0323199
+0.0334664
+0.0347135
+0.0360506
+0.0374532
+0.0388986
+0.0403491
+0.0418641
+0.0434368
+0.0450401
+0.046643
+0.0482921
+0.0499828
+0.0517035
+0.0534556
+0.0540233
+0.0540264
+0.0541105
+0.0542736
+0.0545243
+0.0548614
+0.0552833
+0.0557623
+0.0562987
+0.0569143
+0.0576067
+0.0691626
+0.0671794
+0.0652095
+0.0632542
+0.0613148
+0.0593928
+0.0574901
+0.0556085
+0.0537468
+0.0519088
+0.0500992
+0.0483212
+0.0465784
+0.0448748
+0.0432152
+0.0416047
+0.0400493
+0.0385557
+0.0371314
+0.0357845
+0.0345195
+0.0333503
+0.0322875
+0.031342
+0.0305196
+0.0298157
+0.0289194
+0.0271921
+0.025524
+0.0239402
+0.0224588
+0.021101
+0.0198761
+0.0187951
+0.0179177
+0.0172752
+0.0168944
+0.0167931
+0.0169424
+0.0173486
+0.0180139
+0.018911
+0.0200087
+0.021276
+0.0226638
+0.0241517
+0.0255577
+0.0265504
+0.0276812
+0.028934
+0.0302936
+0.0317462
+0.0332798
+0.0325747
+0.0313271
+0.0301872
+0.0291454
+0.0282254
+0.0274497
+0.0268309
+0.0263801
+0.0260883
+0.0259605
+0.0259836
+0.0261175
+0.0264329
+0.0268861
+0.0274412
+0.0281084
+0.0285542
+0.0291582
+0.0298399
+0.0306135
+0.0315208
+0.0325482
+0.0336869
+0.0349261
+0.0362554
+0.0376653
+0.0391328
+0.0406563
+0.0422386
+0.0438617
+0.0454708
+0.0471269
+0.0488251
+0.0505365
+0.0522464
+0.0539903
+0.0542458
+0.0542489
+0.0543223
+0.0544507
+0.0546666
+0.054969
+0.0553565
+0.0558119
+0.0563477
+0.0569628
+0.0576547
+0.0698855
+0.0679235
+0.0659758
+0.0640439
+0.0621291
+0.0602331
+0.0583578
+0.0565052
+0.0546739
+0.0528682
+0.0510926
+0.0493504
+0.0476452
+0.0459812
+0.044363
+0.0427957
+0.0412853
+0.039838
+0.0384612
+0.0371626
+0.0359461
+0.0348248
+0.0338084
+0.0329066
+0.0321124
+0.0314104
+0.0296604
+0.0279711
+0.0263524
+0.0248216
+0.0233959
+0.0220959
+0.0209297
+0.0199059
+0.0190798
+0.0184777
+0.0181222
+0.0180277
+0.0181679
+0.0185473
+0.019171
+0.0200163
+0.0210565
+0.0222643
+0.0235932
+0.025026
+0.0265623
+0.0280738
+0.0291456
+0.030338
+0.0316373
+0.0330309
+0.0338706
+0.0325263
+0.0312777
+0.0301368
+0.0290864
+0.0281644
+0.027387
+0.0267668
+0.0263148
+0.0260223
+0.0258942
+0.025951
+0.0261481
+0.0264633
+0.0269532
+0.027569
+0.028252
+0.0287925
+0.0294862
+0.0302461
+0.0310096
+0.0319056
+0.032921
+0.0340473
+0.0352738
+0.0365904
+0.0379879
+0.0394576
+0.040978
+0.0425483
+0.0441715
+0.0458419
+0.0475545
+0.0493009
+0.0510208
+0.0527756
+0.0545616
+0.0544536
+0.0544055
+0.0544456
+0.0545736
+0.0547891
+0.0550908
+0.0554775
+0.055945
+0.0564795
+0.0570932
+0.0577835
+0.070669
+0.0687293
+0.0668052
+0.0648979
+0.0630091
+0.0611404
+0.0592938
+0.0574713
+0.0556719
+0.0538996
+0.0521592
+0.0504538
+0.0487872
+0.0471635
+0.0455872
+0.0440635
+0.0425981
+0.041197
+0.0398671
+0.0386158
+0.0374466
+0.0363715
+0.0353996
+0.0345261
+0.0337636
+0.0322364
+0.0305338
+0.0288956
+0.0273317
+0.0258589
+0.0244937
+0.0232551
+0.0221505
+0.0211858
+0.0204115
+0.0198498
+0.0195193
+0.0194317
+0.0195613
+0.0199142
+0.0204964
+0.0212891
+0.0222699
+0.0234152
+0.0246826
+0.0260555
+0.0275345
+0.0291033
+0.0306966
+0.0318309
+0.0330716
+0.0344072
+0.0339613
+0.0326207
+0.0313759
+0.0302387
+0.0291921
+0.0282736
+0.0274993
+0.0268816
+0.0264316
+0.0261404
+0.0260129
+0.0260695
+0.0262656
+0.0265794
+0.0270673
+0.0276805
+0.0284316
+0.0289954
+0.0296844
+0.0305154
+0.0314773
+0.0324341
+0.0334335
+0.034543
+0.0357525
+0.0370522
+0.0384329
+0.0398861
+0.0413975
+0.0429525
+0.0445609
+0.0462172
+0.0479164
+0.0496542
+0.0514266
+0.0532301
+0.0547986
+0.0546631
+0.0546152
+0.0546552
+0.0547827
+0.0549948
+0.0552787
+0.0556474
+0.0560993
+0.0566325
+0.0572445
+0.057933
+0.0715111
+0.0695948
+0.0676953
+0.0658138
+0.0639521
+0.0621118
+0.0602949
+0.0585036
+0.0567369
+0.054999
+0.0532945
+0.0516266
+0.0499991
+0.0484161
+0.046882
+0.0454017
+0.0439809
+0.0426252
+0.0413413
+0.040136
+0.0390124
+0.0379817
+0.0370349
+0.0361928
+0.0348973
+0.0331867
+0.0315355
+0.0299521
+0.0284463
+0.0270343
+0.0257316
+0.0245555
+0.0235124
+0.0226059
+0.0218819
+0.021359
+0.0210521
+0.0209709
+0.0210907
+0.0214184
+0.0219607
+0.0227024
+0.0236246
+0.0247072
+0.0259117
+0.0272228
+0.0286415
+0.0301528
+0.0317435
+0.0334009
+0.0345854
+0.0354101
+0.034101
+0.0328612
+0.0316259
+0.030498
+0.0294608
+0.0285509
+0.0277843
+0.0271732
+0.0267281
+0.0264401
+0.026314
+0.02637
+0.0265639
+0.0268742
+0.0273568
+0.0279637
+0.0287074
+0.0293609
+0.0300415
+0.0308629
+0.0318142
+0.0328615
+0.0339926
+0.0351374
+0.0363572
+0.037636
+0.038996
+0.040429
+0.0419241
+0.0434602
+0.0450506
+0.0466895
+0.0483722
+0.0500941
+0.0518514
+0.0536407
+0.0550941
+0.0549593
+0.0548954
+0.0549183
+0.0550284
+0.0552253
+0.055508
+0.0558752
+0.0563253
+0.0568563
+0.057466
+0.0581518
+0.0724096
+0.0705178
+0.0686438
+0.0667891
+0.0649553
+0.0631442
+0.0613579
+0.0595986
+0.0578654
+0.0561624
+0.0544942
+0.0528642
+0.051276
+0.0497336
+0.0482414
+0.0468042
+0.0454272
+0.0441161
+0.0428768
+0.0417159
+0.04063
+0.0396271
+0.0387175
+0.0376252
+0.0359109
+0.0342509
+0.0326536
+0.0311267
+0.0296805
+0.0283301
+0.0270897
+0.0259752
+0.0249922
+0.0241414
+0.0234648
+0.022978
+0.0226931
+0.0226177
+0.0227245
+0.0230289
+0.0235342
+0.0242277
+0.025094
+0.0261157
+0.0272618
+0.0285108
+0.0298684
+0.0313206
+0.0328548
+0.03446
+0.0361177
+0.035539
+0.0342275
+0.0329823
+0.0318383
+0.0308078
+0.0298881
+0.0289916
+0.028237
+0.0276358
+0.0271983
+0.0269154
+0.0267915
+0.0268465
+0.027037
+0.0273419
+0.0278164
+0.0284135
+0.0291457
+0.0297425
+0.0303843
+0.0311669
+0.0320804
+0.0331137
+0.0342412
+0.035461
+0.0367668
+0.0381537
+0.0395745
+0.0410326
+0.0425536
+0.0440712
+0.0456402
+0.0472587
+0.0489218
+0.050625
+0.0523646
+0.0541369
+0.0554249
+0.0552742
+0.05521
+0.0552327
+0.0553422
+0.055538
+0.0558191
+0.0561843
+0.056632
+0.0571601
+0.0577573
+0.0584145
+0.0733626
+0.071496
+0.0696483
+0.0678211
+0.0660159
+0.0642348
+0.0624797
+0.0607501
+0.059049
+0.0573811
+0.0557495
+0.0541573
+0.0526081
+0.0511059
+0.049655
+0.0482599
+0.0469257
+0.0456576
+0.0444613
+0.0433345
+0.0422831
+0.0413203
+0.0404066
+0.0386914
+0.0370265
+0.0354188
+0.0338738
+0.0324022
+0.0310156
+0.0297259
+0.0285463
+0.0274908
+0.026546
+0.0257466
+0.0251134
+0.0246592
+0.024394
+0.024324
+0.0244198
+0.0247033
+0.025175
+0.0258245
+0.0266389
+0.0276035
+0.0287032
+0.029904
+0.0312011
+0.0325939
+0.0340708
+0.0356213
+0.0371801
+0.0357947
+0.0344782
+0.0332415
+0.0321068
+0.0310838
+0.0301824
+0.0293981
+0.0287512
+0.0282558
+0.0278335
+0.0275571
+0.0274361
+0.0274898
+0.0276759
+0.0279739
+0.0284378
+0.0290221
+0.0295319
+0.0300476
+0.030683
+0.0314583
+0.0323635
+0.0333881
+0.0345066
+0.0357192
+0.0370219
+0.0384053
+0.0398613
+0.041381
+0.0429547
+0.0445804
+0.0462526
+0.0479214
+0.0495623
+0.0512442
+0.0529634
+0.0547163
+0.0558225
+0.0556729
+0.0556092
+0.0556318
+0.0557405
+0.0559348
+0.0561987
+0.056545
+0.0569658
+0.0574652
+0.0580431
+0.0586971
+0.0743679
+0.0725272
+0.0707065
+0.0689073
+0.0671313
+0.0653803
+0.0636522
+0.0619533
+0.0602862
+0.0586535
+0.0570582
+0.0555036
+0.0539931
+0.0525305
+0.05112
+0.049766
+0.0484733
+0.0472467
+0.0460886
+0.0449948
+0.0439831
+0.0430584
+0.041517
+0.0398496
+0.0382351
+0.036677
+0.0351862
+0.0337718
+0.0324438
+0.0312132
+0.0300919
+0.0290785
+0.0281808
+0.0274291
+0.0268356
+0.0264111
+0.0261637
+0.0260984
+0.0261886
+0.0264532
+0.0268942
+0.0275031
+0.0282692
+0.0291799
+0.0302223
+0.031383
+0.0326251
+0.0339597
+0.0353796
+0.0368751
+0.0375527
+0.0361782
+0.0348633
+0.0336368
+0.0325117
+0.031499
+0.0306099
+0.0298368
+0.0291959
+0.0286796
+0.0283239
+0.0281347
+0.0280903
+0.0282086
+0.0284644
+0.0287592
+0.0292107
+0.0296063
+0.0299723
+0.0304822
+0.0311334
+0.0318977
+0.0327908
+0.0338025
+0.0349078
+0.0361069
+0.037396
+0.0387661
+0.040209
+0.0417171
+0.0432806
+0.0448944
+0.0465554
+0.0482587
+0.05
+0.0517753
+0.0535353
+0.0550837
+0.0562012
+0.0560526
+0.0559893
+0.0560118
+0.0561198
+0.0563129
+0.0565888
+0.0569232
+0.0573393
+0.0578355
+0.0584097
+0.0590597
+0.0754234
+0.0736092
+0.0718158
+0.0700452
+0.0682964
+0.0665719
+0.0648755
+0.0632095
+0.0615764
+0.0599789
+0.0584198
+0.0569024
+0.05543
+0.0540064
+0.0526355
+0.0513215
+0.0500689
+0.0488824
+0.0477536
+0.0466989
+0.045725
+0.0443789
+0.0427109
+0.0410913
+0.0395242
+0.0380189
+0.0365828
+0.0352245
+0.0339534
+0.0327794
+0.0317116
+0.0307348
+0.0298869
+0.0291791
+0.028622
+0.0282243
+0.0279929
+0.0279319
+0.0280171
+0.0282645
+0.0286777
+0.0292496
+0.029971
+0.0308315
+0.0318198
+0.0329245
+0.0341134
+0.0353919
+0.0367566
+0.0381982
+0.0377785
+0.0364526
+0.0352128
+0.0340689
+0.0330212
+0.0320589
+0.0311788
+0.0304161
+0.0297679
+0.0292618
+0.0289132
+0.0287279
+0.0286844
+0.0288002
+0.0290188
+0.0293346
+0.0298085
+0.0301901
+0.0305601
+0.0310604
+0.0317046
+0.0324793
+0.0333568
+0.0343519
+0.03544
+0.0366217
+0.0378933
+0.0392461
+0.0406719
+0.0421634
+0.043711
+0.0453095
+0.0469558
+0.0486451
+0.050373
+0.0521357
+0.0539183
+0.055322
+0.0566462
+0.0564987
+0.056436
+0.0564583
+0.0565655
+0.056757
+0.0570322
+0.0573766
+0.0577829
+0.0582688
+0.0588322
+0.0594557
+0.0765272
+0.0747397
+0.0729739
+0.0712279
+0.0695071
+0.0678134
+0.0661488
+0.0645158
+0.0629166
+0.0613539
+0.0598307
+0.05835
+0.0569151
+0.0555295
+0.0541971
+0.0529219
+0.0517081
+0.0505518
+0.0494597
+0.0484422
+0.0472706
+0.0456031
+0.0439801
+0.0424067
+0.04089
+0.0394368
+0.0380543
+0.0367505
+0.0355339
+0.034414
+0.033381
+0.0324544
+0.0316526
+0.0309852
+0.0304611
+0.0300878
+0.0298708
+0.0298137
+0.0298943
+0.0301263
+0.0305143
+0.0310524
+0.0317328
+0.0325468
+0.0334845
+0.0345359
+0.0356743
+0.0368987
+0.0382096
+0.0394836
+0.0381048
+0.0367857
+0.0355464
+0.0344022
+0.0333626
+0.032438
+0.0316179
+0.0309222
+0.030369
+0.0299661
+0.029653
+0.0294643
+0.0294143
+0.0295219
+0.0297248
+0.0300332
+0.0304962
+0.0308882
+0.0312906
+0.0317794
+0.0324093
+0.0331721
+0.0340403
+0.0350159
+0.0360975
+0.0372584
+0.038509
+0.0398409
+0.0412462
+0.0427176
+0.0442458
+0.0458257
+0.0474541
+0.0491262
+0.0508378
+0.0525849
+0.054279
+0.0556455
+0.0570461
+0.0570256
+0.0569635
+0.0569856
+0.0570917
+0.0572816
+0.0575432
+0.0578654
+0.0582634
+0.0587295
+0.0592662
+0.0598539
+0.077677
+0.0759145
+0.074173
+0.0724559
+0.0707649
+0.069102
+0.0674693
+0.0658689
+0.0643034
+0.0627753
+0.0612874
+0.0598428
+0.0584445
+0.0570961
+0.0558011
+0.0545634
+0.053383
+0.0522583
+0.0512027
+0.0501869
+0.0485208
+0.0468957
+0.0453175
+0.0437922
+0.0423252
+0.040923
+0.0395924
+0.0383409
+0.0371764
+0.0360992
+0.0351077
+0.0342279
+0.0334687
+0.0328382
+0.0323441
+0.0319928
+0.0317888
+0.0317351
+0.0318116
+0.0320298
+0.032395
+0.0329023
+0.0335452
+0.0343162
+0.0352069
+0.0362083
+0.0372985
+0.0384713
+0.0397303
+0.0399107
+0.0385231
+0.0372128
+0.0359882
+0.0348584
+0.033833
+0.0329214
+0.0321239
+0.0314394
+0.0308955
+0.0304995
+0.0302526
+0.0301373
+0.030181
+0.0303745
+0.0305718
+0.0308717
+0.0313223
+0.0317225
+0.0321471
+0.0326299
+0.0332437
+0.0339878
+0.0348357
+0.0357896
+0.0368492
+0.0380057
+0.0392375
+0.0405454
+0.0419271
+0.0433755
+0.0448813
+0.0464395
+0.0480471
+0.0496993
+0.0513918
+0.0531207
+0.0546965
+0.0560529
+0.0574435
+0.0576311
+0.0575696
+0.0575914
+0.0576965
+0.0578153
+0.0580055
+0.0582774
+0.0586299
+0.0590617
+0.059571
+0.0601557
+0.0788671
+0.07713
+0.0754166
+0.0737284
+0.0720673
+0.0704352
+0.0688341
+0.0672662
+0.065734
+0.0642399
+0.0627868
+0.0613774
+0.0600149
+0.0587026
+0.0574438
+0.056242
+0.055089
+0.0539998
+0.0529789
+0.0514595
+0.0498333
+0.0482517
+0.0467194
+0.0452413
+0.0438229
+0.0424702
+0.0411896
+0.0399881
+0.038873
+0.0378287
+0.0368838
+0.0360474
+0.0353272
+0.0347305
+0.0342637
+0.0339322
+0.03374
+0.0336894
+0.0337622
+0.0339678
+0.0343124
+0.0347918
+0.0354004
+0.0361319
+0.0369788
+0.0379335
+0.0389782
+0.0401019
+0.0413113
+0.0404235
+0.0390542
+0.0377623
+0.0365561
+0.0354445
+0.0344319
+0.0335276
+0.0327443
+0.0320731
+0.0315401
+0.0311523
+0.0309106
+0.0307978
+0.0308405
+0.0310381
+0.0313878
+0.0318391
+0.0322762
+0.0326824
+0.0331053
+0.0335953
+0.0341983
+0.034922
+0.0357478
+0.036678
+0.0377126
+0.0388434
+0.0400602
+0.0413542
+0.0427097
+0.0441324
+0.0456132
+0.0471473
+0.0487315
+0.0503613
+0.0520322
+0.0537405
+0.0551979
+0.0565422
+0.0579211
+0.058278
+0.0581374
+0.0580791
+0.0581034
+0.0582102
+0.0583991
+0.0586691
+0.0590194
+0.0594483
+0.0599543
+0.0605353
+0.0800977
+0.0783879
+0.0767026
+0.0750434
+0.0734121
+0.0718105
+0.0702408
+0.068705
+0.0672056
+0.065745
+0.0643258
+0.0629509
+0.0616232
+0.0603459
+0.0591221
+0.057947
+0.0568282
+0.055773
+0.0544153
+0.0527892
+0.0512053
+0.0496674
+0.0481802
+0.0467483
+0.045377
+0.044072
+0.0428393
+0.0416854
+0.0406037
+0.0396039
+0.0387023
+0.0379061
+0.0372219
+0.0366561
+0.0362141
+0.0359006
+0.035719
+0.0356712
+0.0357406
+0.035935
+0.0362608
+0.0367148
+0.0372921
+0.0379871
+0.0387935
+0.0397046
+0.0407065
+0.0417838
+0.0424651
+0.0410469
+0.0396991
+0.0384289
+0.0372439
+0.0361449
+0.0351482
+0.0342628
+0.0334967
+0.0328409
+0.0323206
+0.0319423
+0.0317067
+0.0315966
+0.0316383
+0.031831
+0.032172
+0.0326448
+0.0332393
+0.0337489
+0.0341772
+0.0346521
+0.0352424
+0.0359468
+0.0367679
+0.0376729
+0.038681
+0.0397842
+0.0409731
+0.0422416
+0.0435834
+0.0449834
+0.0464371
+0.0479448
+0.0495035
+0.0511086
+0.0527559
+0.0544415
+0.0555491
+0.056685
+0.0578816
+0.0587515
+0.058612
+0.0585542
+0.0585783
+0.0586843
+0.0588716
+0.0591395
+0.059487
+0.0599125
+0.0604146
+0.0609913
+0.0813687
+0.0796862
+0.078029
+0.0763986
+0.0747968
+0.0732255
+0.0716868
+0.0701827
+0.0687155
+0.0672877
+0.0659017
+0.0645604
+0.0632665
+0.062023
+0.0608286
+0.0596834
+0.0585977
+0.057386
+0.0557606
+0.0541749
+0.0526327
+0.0511378
+0.0496946
+0.0483076
+0.0469819
+0.0457227
+0.0445357
+0.0434225
+0.042376
+0.0414189
+0.0405577
+0.0397986
+0.0391475
+0.0386099
+0.0381906
+0.0378934
+0.0377214
+0.0376762
+0.0377425
+0.0379266
+0.0382355
+0.0386663
+0.0392148
+0.0398764
+0.0406453
+0.0415158
+0.0424775
+0.043511
+0.0431595
+0.041765
+0.040441
+0.0391949
+0.0380335
+0.036958
+0.0359839
+0.0351196
+0.0343705
+0.0337317
+0.0332253
+0.0328575
+0.0326304
+0.0325237
+0.0325641
+0.0327514
+0.033083
+0.0335429
+0.0341218
+0.034829
+0.0353526
+0.0358119
+0.0363833
+0.0370661
+0.0378634
+0.0387663
+0.0397466
+0.0408211
+0.0419806
+0.0432196
+0.0445318
+0.0459112
+0.047348
+0.0488276
+0.050359
+0.0512563
+0.0522101
+0.0532371
+0.054333
+0.0554938
+0.0567155
+0.0579942
+0.0591465
+0.0590892
+0.0591131
+0.0592046
+0.0593746
+0.0596247
+0.0599539
+0.0603608
+0.0608439
+0.0613827
+0.0826783
+0.081023
+0.0793936
+0.0777918
+0.0762193
+0.074678
+0.0731698
+0.0716968
+0.0702613
+0.0688655
+0.067512
+0.0662033
+0.0649421
+0.0637304
+0.0625617
+0.0614488
+0.0603658
+0.0587447
+0.0571578
+0.055612
+0.0541108
+0.0526579
+0.0512574
+0.0499139
+0.048632
+0.0474166
+0.0462731
+0.0451904
+0.0441857
+0.0432687
+0.042445
+0.0417203
+0.0410997
+0.0405879
+0.0401892
+0.039907
+0.0397437
+0.0397007
+0.0397643
+0.0399391
+0.0402325
+0.0406421
+0.0411644
+0.0417951
+0.0425294
+0.043362
+0.0442857
+0.0452783
+0.0439521
+0.0425835
+0.0412858
+0.040066
+0.0389306
+0.0378806
+0.0369308
+0.0360891
+0.035347
+0.0347262
+0.0342345
+0.0338776
+0.0336598
+0.0335683
+0.0336075
+0.033789
+0.0341105
+0.0345525
+0.0351147
+0.0358024
+0.0366084
+0.0370626
+0.0376174
+0.0382781
+0.0390507
+0.0399273
+0.0409019
+0.0419468
+0.043076
+0.0442843
+0.045566
+0.0469138
+0.047565
+0.0483068
+0.0491333
+0.0500317
+0.0510085
+0.0520591
+0.0531793
+0.0543648
+0.0556113
+0.0569148
+0.0582716
+0.0595304
+0.0595407
+0.0596294
+0.0597982
+0.0600465
+0.0603734
+0.0607775
+0.0612573
+0.0618111
+0.0840245
+0.0823963
+0.0807946
+0.0792212
+0.0776776
+0.0761658
+0.0746876
+0.0732452
+0.0718406
+0.0704761
+0.0691541
+0.0678771
+0.0666476
+0.06546
+0.0643227
+0.0632408
+0.0617348
+0.060147
+0.0585982
+0.0570914
+0.05563
+0.0542179
+0.0528588
+0.051557
+0.0503169
+0.0491433
+0.0480397
+0.0469939
+0.0460286
+0.045149
+0.0443603
+0.0436673
+0.0430748
+0.0425868
+0.042207
+0.0419383
+0.0417829
+0.0417421
+0.0418031
+0.0419694
+0.0422488
+0.042639
+0.0431371
+0.0437393
+0.0444415
+0.045239
+0.0461263
+0.0462409
+0.0448378
+0.043497
+0.0422274
+0.0410356
+0.0399278
+0.0389047
+0.0379805
+0.037151
+0.0364293
+0.0358272
+0.0353508
+0.0350053
+0.0347946
+0.0347074
+0.0347453
+0.0349209
+0.035232
+0.0356671
+0.036212
+0.0368792
+0.0376622
+0.0382907
+0.0389355
+0.0395744
+0.0403221
+0.0411717
+0.0421181
+0.0431544
+0.0442521
+0.0446274
+0.0451059
+0.0456779
+0.0463464
+0.0471075
+0.0479524
+0.0488726
+0.049872
+0.0509461
+0.0520903
+0.0532999
+0.0545707
+0.0558985
+0.0572757
+0.0587001
+0.0600431
+0.060131
+0.0602984
+0.0605447
+0.0608689
+0.0612697
+0.0617457
+0.0622952
+0.0854058
+0.0838044
+0.0822301
+0.0806847
+0.0791697
+0.0776869
+0.0762382
+0.0748257
+0.0734513
+0.0721173
+0.0708259
+0.0695796
+0.0683759
+0.0672165
+0.0661094
+0.0647345
+0.0631462
+0.0615949
+0.0600834
+0.0586148
+0.0571924
+0.0558197
+0.0545006
+0.053239
+0.052039
+0.0509051
+0.0498364
+0.048829
+0.0479007
+0.0470562
+0.0463
+0.0456365
+0.0450698
+0.0446036
+0.0442411
+0.0439849
+0.0438368
+0.0437979
+0.0438566
+0.0440151
+0.0442816
+0.044654
+0.0451299
+0.0457059
+0.0463783
+0.047143
+0.0479956
+0.0471854
+0.0458112
+0.0444998
+0.0432596
+0.042097
+0.0410179
+0.0400227
+0.0391174
+0.0383076
+0.0376081
+0.0370252
+0.0365644
+0.0362305
+0.0360269
+0.0359302
+0.0359669
+0.0361365
+0.0364373
+0.036866
+0.0374055
+0.0380518
+0.0388111
+0.039426
+0.0400883
+0.0407918
+0.0415833
+0.0424317
+0.0425994
+0.0427653
+0.0430423
+0.0434281
+0.0439199
+0.0445142
+0.0452013
+0.0459791
+0.0468356
+0.0477772
+0.0487991
+0.0498963
+0.051064
+0.0522974
+0.053592
+0.0549382
+0.0563366
+0.0577841
+0.0592773
+0.0607076
+0.0608734
+0.0611174
+0.0614385
+0.0618357
+0.0623074
+0.062799
+0.0865262
+0.0852455
+0.0836984
+0.0821805
+0.0806936
+0.0792393
+0.0778196
+0.0764363
+0.0750914
+0.073787
+0.0725254
+0.0713071
+0.0701278
+0.0689978
+0.0677432
+0.0661546
+0.0646012
+0.0630856
+0.0616107
+0.0601794
+0.0587948
+0.0574605
+0.0561799
+0.0549569
+0.0537952
+0.0526991
+0.0516635
+0.0506925
+0.0497989
+0.0489871
+0.0482611
+0.047625
+0.0470822
+0.0466362
+0.0462896
+0.0460448
+0.0459033
+0.0458661
+0.0459228
+0.0460742
+0.0463288
+0.0466849
+0.0471403
+0.047692
+0.0483368
+0.049071
+0.0496034
+0.0482109
+0.0468668
+0.0455858
+0.044376
+0.0432434
+0.0421936
+0.0412232
+0.0403367
+0.0395519
+0.0388747
+0.0383111
+0.037866
+0.0375437
+0.0373353
+0.0372419
+0.0372772
+0.0374409
+0.0377313
+0.0381455
+0.0386795
+0.0393116
+0.0395972
+0.0397051
+0.039933
+0.040279
+0.0407338
+0.0412942
+0.0414441
+0.0416146
+0.0418992
+0.0422954
+0.0428002
+0.0434099
+0.04412
+0.0449108
+0.0457872
+0.04675
+0.0477939
+0.0489136
+0.0501042
+0.0513607
+0.0526783
+0.0540473
+0.0554681
+0.0569378
+0.0584526
+0.0600092
+0.0615211
+0.0617625
+0.0620579
+0.0624065
+0.0627988
+0.0632511
+0.0874532
+0.086718
+0.0851976
+0.083707
+0.0822476
+0.0808214
+0.0794299
+0.0780751
+0.0767589
+0.0754834
+0.0742506
+0.0730544
+0.0719037
+0.0707596
+0.0691708
+0.0676158
+0.0660967
+0.0646163
+0.0631771
+0.061782
+0.0604342
+0.0591369
+0.0578934
+0.0567073
+0.0555823
+0.0545221
+0.0535179
+0.0525811
+0.0517202
+0.050939
+0.0502413
+0.0496305
+0.0491099
+0.0486825
+0.0483506
+0.0481162
+0.0479809
+0.0479453
+0.048
+0.0481448
+0.0483886
+0.0487296
+0.0491661
+0.0496953
+0.0503144
+0.0510202
+0.0506747
+0.0493126
+0.0479993
+0.0467493
+0.0455704
+0.0444683
+0.0434424
+0.0424893
+0.0416298
+0.0408698
+0.0402149
+0.0396703
+0.0392406
+0.0389297
+0.0387234
+0.0386334
+0.0386674
+0.0388252
+0.0391054
+0.0388815
+0.0386445
+0.0385193
+0.0385058
+0.0386167
+0.0388511
+0.0392066
+0.0396686
+0.0402438
+0.0403747
+0.0405497
+0.0408417
+0.0412481
+0.0417656
+0.0423901
+0.043117
+0.0439258
+0.0448216
+0.0458046
+0.0468696
+0.0480109
+0.0492233
+0.0505017
+0.0518411
+0.0532317
+0.0546737
+0.0561641
+0.0576993
+0.0592757
+0.06089
+0.0623216
+0.0625721
+0.0628736
+0.0632495
+0.0636987
+0.0884247
+0.088014
+0.0867263
+0.0852624
+0.0838301
+0.0824312
+0.0810674
+0.0797404
+0.0784522
+0.0772047
+0.0759947
+0.074825
+0.0737019
+0.072194
+0.0706376
+0.0691155
+0.0676302
+0.066184
+0.0647797
+0.0634199
+0.0621076
+0.060846
+0.0596382
+0.0584875
+0.0573973
+0.0563713
+0.0553968
+0.0544924
+0.0536621
+0.0529096
+0.0522382
+0.051651
+0.051151
+0.0507408
+0.0504224
+0.0501978
+0.050068
+0.050034
+0.0500868
+0.0502257
+0.0504594
+0.0507865
+0.0512054
+0.0517138
+0.052309
+0.0529878
+0.0518166
+0.0504802
+0.0491958
+0.047977
+0.046829
+0.0457572
+0.0447484
+0.0438237
+0.0429909
+0.0422554
+0.0416223
+0.0410963
+0.0406817
+0.0403818
+0.040183
+0.0400611
+0.0393498
+0.0387475
+0.0382596
+0.0378922
+0.037649
+0.0375246
+0.0375107
+0.0376246
+0.0378651
+0.0382255
+0.0386983
+0.0392877
+0.0393981
+0.0395775
+0.0398766
+0.0402927
+0.0408223
+0.0414611
+0.0421928
+0.0430204
+0.0439417
+0.0449463
+0.046031
+0.0471926
+0.0484255
+0.0497244
+0.0510843
+0.0524949
+0.0539566
+0.0554663
+0.0570202
+0.0586149
+0.060247
+0.0619136
+0.063075
+0.0633741
+0.0637471
+0.0641928
+0.0894394
+0.0890333
+0.0882829
+0.0868452
+0.0854395
+0.0840674
+0.0827305
+0.0814307
+0.0801696
+0.078947
+0.07776
+0.0766174
+0.0752233
+0.0736657
+0.072141
+0.0706514
+0.069199
+0.0677863
+0.0664158
+0.0650903
+0.0638124
+0.0625851
+0.0614115
+0.0602946
+0.0592378
+0.0582413
+0.057298
+0.056424
+0.0556226
+0.0548969
+0.0542501
+0.053685
+0.0532041
+0.0528098
+0.052504
+0.0522882
+0.0521637
+0.052131
+0.0521822
+0.0523155
+0.0525399
+0.0528542
+0.0532568
+0.0537458
+0.0543186
+0.0541635
+0.0528027
+0.0514991
+0.0502572
+0.0490818
+0.0479776
+0.0469498
+0.0460033
+0.0451345
+0.0443473
+0.0436559
+0.043065
+0.0425787
+0.0419985
+0.0409829
+0.0400454
+0.0392079
+0.0384771
+0.0378591
+0.0373595
+0.0369831
+0.0367338
+0.0366123
+0.0365981
+0.0367148
+0.0369612
+0.0373347
+0.0378297
+0.0384328
+0.0385169
+0.0387003
+0.0390061
+0.0394314
+0.0399722
+0.0406097
+0.041353
+0.0421972
+0.0431361
+0.0441639
+0.0452744
+0.0464579
+0.0477098
+0.0490276
+0.0504063
+0.0518402
+0.0533199
+0.0548471
+0.0564181
+0.0580293
+0.0596774
+0.0613595
+0.0630728
+0.0638558
+0.064217
+0.0646451
+0.0904957
+0.0900944
+0.0897352
+0.088454
+0.0870742
+0.0857283
+0.0844178
+0.0831443
+0.0819095
+0.0807072
+0.0795466
+0.078258
+0.0766995
+0.0751725
+0.073679
+0.072221
+0.0708008
+0.0694208
+0.0680832
+0.0667907
+0.065546
+0.0643518
+0.063211
+0.0621265
+0.0611013
+0.0601311
+0.0592179
+0.0583726
+0.0575983
+0.0568979
+0.0562741
+0.0557295
+0.0552664
+0.0548869
+0.0545927
+0.0543853
+0.0542656
+0.0542342
+0.0542851
+0.0544133
+0.054629
+0.0549314
+0.0553189
+0.0557898
+0.056339
+0.0550707
+0.0537329
+0.0524524
+0.0512337
+0.0500812
+0.0489995
+0.0479936
+0.0470623
+0.0462041
+0.0451824
+0.0442324
+0.0433723
+0.0424089
+0.0412937
+0.0402604
+0.0393056
+0.038452
+0.0377065
+0.0370757
+0.0365654
+0.0361808
+0.0359258
+0.0358017
+0.0357871
+0.0359064
+0.0361583
+0.0365401
+0.0370476
+0.0376668
+0.0377274
+0.0379147
+0.0382267
+0.0386606
+0.0392079
+0.0398571
+0.0406142
+0.0414734
+0.0424284
+0.0434714
+0.0445921
+0.0457902
+0.0470599
+0.0483954
+0.0497916
+0.0512434
+0.0527462
+0.0542959
+0.0558884
+0.0575204
+0.0591835
+0.0608793
+0.0626057
+0.0642755
+0.064721
+0.0651472
+0.0915677
+0.0911821
+0.0908409
+0.0900873
+0.0887329
+0.0874125
+0.0861276
+0.0848798
+0.0836653
+0.0824881
+0.0812975
+0.0797382
+0.0782091
+0.0767122
+0.0752492
+0.0738223
+0.0724335
+0.0710852
+0.0697795
+0.068519
+0.0673063
+0.0661439
+0.0650345
+0.0639809
+0.0629859
+0.0620389
+0.0611542
+0.0603361
+0.0595873
+0.0589106
+0.0583083
+0.0577828
+0.0573363
+0.0569706
+0.0566873
+0.0564875
+0.0563723
+0.056342
+0.0563947
+0.0565181
+0.0567258
+0.0570171
+0.0573905
+0.0578422
+0.0574164
+0.0560489
+0.054735
+0.053438
+0.0520125
+0.0506257
+0.0492953
+0.048028
+0.0468289
+0.0457035
+0.0446572
+0.0436957
+0.0428249
+0.041826
+0.0406948
+0.0396458
+0.0386759
+0.0378081
+0.0370496
+0.0364074
+0.0358876
+0.0354957
+0.0352358
+0.0351092
+0.0350943
+0.035216
+0.0354728
+0.0358619
+0.0363789
+0.0369842
+0.0370459
+0.0372366
+0.0375543
+0.0379959
+0.0385525
+0.0392126
+0.039982
+0.0408544
+0.0418172
+0.0428692
+0.0440052
+0.0452189
+0.0465042
+0.0478552
+0.0492667
+0.0507335
+0.052251
+0.0538149
+0.0554196
+0.057063
+0.058742
+0.0604539
+0.0621958
+0.0638779
+0.0652858
+0.0657083
+0.0926733
+0.0922923
+0.0919619
+0.0916685
+0.0904143
+0.0891188
+0.0878589
+0.0866332
+0.0854407
+0.0842883
+0.0827813
+0.0812504
+0.0797504
+0.0782829
+0.0768499
+0.0754532
+0.074095
+0.0727774
+0.0715027
+0.0702732
+0.0690912
+0.0679593
+0.0668801
+0.065856
+0.0648853
+0.0639649
+0.0631072
+0.0623147
+0.06159
+0.0609355
+0.0603534
+0.059846
+0.059415
+0.0590621
+0.0587889
+0.0585963
+0.0584852
+0.058456
+0.0585089
+0.0586292
+0.0588295
+0.0591103
+0.059469
+0.0592996
+0.0576866
+0.0561127
+0.0545814
+0.0530964
+0.0516518
+0.0502531
+0.0489125
+0.047635
+0.0464258
+0.0452903
+0.0442343
+0.0432634
+0.0423837
+0.041351
+0.0402064
+0.0391444
+0.0381617
+0.0372819
+0.0365126
+0.0358607
+0.0353329
+0.0349347
+0.0346706
+0.0345419
+0.0345269
+0.0346505
+0.0349115
+0.0353067
+0.0358318
+0.0364208
+0.0364834
+0.036677
+0.0369995
+0.0374476
+0.0380123
+0.0386803
+0.039452
+0.0403281
+0.041302
+0.0423668
+0.0435159
+0.0447429
+0.0460414
+0.0474057
+0.0488301
+0.0503097
+0.0518384
+0.0534122
+0.0550283
+0.056683
+0.058373
+0.0600954
+0.0618473
+0.0635533
+0.0651258
+0.0663371
+0.0938171
+0.0934385
+0.0931003
+0.0928045
+0.0921171
+0.0908459
+0.0896098
+0.0884033
+0.087235
+0.0858283
+0.0842959
+0.082793
+0.0813214
+0.0798828
+0.078479
+0.0771119
+0.0757834
+0.0744957
+0.0732509
+0.0720512
+0.0708989
+0.0697963
+0.0687459
+0.0677501
+0.066801
+0.0659074
+0.0650753
+0.0643071
+0.0636051
+0.0629715
+0.0624085
+0.0619178
+0.0615013
+0.0611605
+0.0608967
+0.0607108
+0.0606036
+0.0605754
+0.0606265
+0.060742
+0.0609353
+0.0612065
+0.0607182
+0.0590626
+0.057443
+0.0558622
+0.0543238
+0.0528315
+0.0513801
+0.0499738
+0.0486255
+0.0473403
+0.0461233
+0.0449802
+0.0439167
+0.0429387
+0.0420521
+0.0409878
+0.0398327
+0.0387605
+0.0377678
+0.0368786
+0.0361007
+0.0354413
+0.0349071
+0.034504
+0.0342366
+0.0341063
+0.034091
+0.0342162
+0.0344805
+0.0348806
+0.035412
+0.0359784
+0.0360418
+0.0362377
+0.0365641
+0.0370175
+0.0375745
+0.0382432
+0.0390236
+0.0399091
+0.0408929
+0.0419681
+0.0431279
+0.0443656
+0.0456748
+0.0470497
+0.0484846
+0.0499744
+0.0515131
+0.0530966
+0.054722
+0.0563857
+0.0580843
+0.059815
+0.0615749
+0.0633029
+0.0648815
+0.0664947
+0.0949856
+0.094604
+0.0942701
+0.093978
+0.0937361
+0.0925926
+0.0913749
+0.0901918
+0.0888788
+0.087345
+0.0858396
+0.0843643
+0.0829206
+0.0815102
+0.0801349
+0.0787965
+0.0774969
+0.0762382
+0.0750223
+0.0738513
+0.0727276
+0.0716532
+0.0706304
+0.0696594
+0.0687332
+0.067865
+0.0670572
+0.066312
+0.0656314
+0.0650176
+0.0644724
+0.0639976
+0.0635947
+0.0632652
+0.0630102
+0.0628305
+0.0627269
+0.0626997
+0.0627491
+0.06286
+0.0630469
+0.0622587
+0.060566
+0.0589062
+0.0572821
+0.0556968
+0.0541537
+0.0526566
+0.0512007
+0.0497894
+0.048436
+0.0471456
+0.0459235
+0.0447752
+0.0437067
+0.0427239
+0.0418328
+0.0407392
+0.039577
+0.0384976
+0.0374979
+0.0366022
+0.0358183
+0.0351536
+0.034615
+0.0342084
+0.0339387
+0.0338072
+0.0337918
+0.0339181
+0.0341847
+0.0345882
+0.035124
+0.035643
+0.035707
+0.0359048
+0.0362342
+0.0366916
+0.0372535
+0.0379279
+0.0387146
+0.039607
+0.0405982
+0.041681
+0.0428485
+0.044094
+0.0454111
+0.0467938
+0.0482363
+0.0497335
+0.0512794
+0.0528699
+0.0545021
+0.0561722
+0.0578772
+0.0596138
+0.0613796
+0.0631276
+0.0647104
+0.0663278
+0.0961823
+0.0958055
+0.0954758
+0.0951874
+0.0949486
+0.0943546
+0.0931579
+0.0919326
+0.0903975
+0.0888898
+0.0874111
+0.0859627
+0.0845463
+0.0831635
+0.081816
+0.0805055
+0.079234
+0.0780033
+0.0768153
+0.0756721
+0.0745758
+0.0735284
+0.0725321
+0.0715815
+0.0706804
+0.0698365
+0.0690518
+0.0683283
+0.067668
+0.0670728
+0.0665445
+0.0660845
+0.0656945
+0.0653756
+0.0651288
+0.064955
+0.0648548
+0.0648285
+0.0648756
+0.0649829
+0.0639124
+0.0621875
+0.0604929
+0.058831
+0.0572048
+0.0556173
+0.0540719
+0.052564
+0.0510986
+0.0496867
+0.0483328
+0.0470421
+0.0458197
+0.0446708
+0.0435994
+0.0426138
+0.04172
+0.0406076
+0.0394414
+0.0383509
+0.0373473
+0.0364479
+0.0356606
+0.0349929
+0.0344517
+0.0340432
+0.0337722
+0.0336291
+0.0336136
+0.0337406
+0.0340086
+0.0344142
+0.0349526
+0.03544
+0.0355044
+0.0357033
+0.0360346
+0.0364945
+0.0370594
+0.0377372
+0.0385279
+0.0394245
+0.0404201
+0.0415076
+0.0426799
+0.0439302
+0.045252
+0.0466394
+0.0480865
+0.0495883
+0.0511385
+0.0527333
+0.0543696
+0.0560437
+0.0577524
+0.0594927
+0.061262
+0.063028
+0.0646133
+0.066233
+0.0974136
+0.0970416
+0.096716
+0.0964313
+0.0961957
+0.0960095
+0.094958
+0.0934529
+0.0919432
+0.0904613
+0.0890087
+0.0875867
+0.086197
+0.0848411
+0.0835207
+0.0822374
+0.0809931
+0.0797895
+0.0786285
+0.0775121
+0.0764421
+0.0754206
+0.0744493
+0.0735186
+0.0726416
+0.0718207
+0.0710579
+0.070355
+0.0697139
+0.0691364
+0.0686239
+0.068178
+0.0678
+0.067491
+0.067252
+0.0670837
+0.0669867
+0.0669612
+0.0670062
+0.0656706
+0.0639182
+0.0621935
+0.060499
+0.0588373
+0.0572113
+0.0556239
+0.0540681
+0.0525534
+0.0510877
+0.0496755
+0.0483213
+0.0470302
+0.0458076
+0.0446584
+0.0435866
+0.0426007
+0.0417066
+0.040593
+0.0394131
+0.0383122
+0.0373076
+0.0364072
+0.0356189
+0.0349504
+0.0344086
+0.0339996
+0.0337282
+0.0335849
+0.0335694
+0.0336966
+0.0339649
+0.034371
+0.0349101
+0.0353719
+0.0354364
+0.0356357
+0.0359676
+0.0364284
+0.0369942
+0.0376732
+0.0384652
+0.0393633
+0.0403604
+0.0414494
+0.0426233
+0.0438752
+0.0451987
+0.0465876
+0.0480363
+0.0495396
+0.0510913
+0.0526875
+0.0543252
+0.0560006
+0.0577106
+0.0594522
+0.0612226
+0.0629988
+0.0645846
+0.0662048
+0.0986781
+0.0983109
+0.0979896
+0.0977086
+0.0974761
+0.0972923
+0.0965111
+0.0949995
+0.0935147
+0.0920581
+0.090631
+0.089235
+0.0878713
+0.0865417
+0.0852476
+0.0839907
+0.0827727
+0.0815954
+0.0804605
+0.0793698
+0.0783252
+0.0773286
+0.076377
+0.0754696
+0.0746155
+0.0738165
+0.0730745
+0.0723913
+0.0717684
+0.0712075
+0.07071
+0.0702774
+0.0699107
+0.0696111
+0.0693794
+0.0692163
+0.0691223
+0.0690976
+0.067519
+0.0657433
+0.0639933
+0.0622711
+0.0605793
+0.0589203
+0.0572971
+0.055704
+0.0541465
+0.052634
+0.0511707
+0.0497608
+0.048409
+0.0471203
+0.0459001
+0.0447533
+0.0436839
+0.0427002
+0.0418082
+0.0406746
+0.0394972
+0.0383986
+0.0373963
+0.0364981
+0.0357119
+0.0350452
+0.0345049
+0.034097
+0.0338264
+0.0336835
+0.033668
+0.0337949
+0.0340624
+0.0344674
+0.035005
+0.0354367
+0.035501
+0.0357
+0.0360313
+0.0364913
+0.0370587
+0.0377365
+0.0385272
+0.0394239
+0.0404195
+0.041507
+0.0426793
+0.0439296
+0.0452515
+0.0466388
+0.048086
+0.0495878
+0.051138
+0.0527328
+0.0543691
+0.0560432
+0.057752
+0.0594923
+0.0612615
+0.0630367
+0.0646215
+0.0662409
+0.0999747
+0.0996123
+0.0992952
+0.0990179
+0.0987884
+0.0986071
+0.0980584
+0.0965709
+0.0951107
+0.0936789
+0.0922769
+0.0909061
+0.0895679
+0.0882638
+0.0869954
+0.0857641
+0.0845717
+0.0834197
+0.08231
+0.0812441
+0.080224
+0.0792512
+0.078318
+0.0774334
+0.0766012
+0.0758232
+0.075101
+0.0744363
+0.0738307
+0.0732856
+0.0728023
+0.0723822
+0.0720262
+0.0717355
+0.0715106
+0.0713524
+0.0712612
+0.0694487
+0.0676527
+0.0658806
+0.0641343
+0.0624161
+0.0607283
+0.0590735
+0.0574546
+0.0558661
+0.0543132
+0.0528055
+0.0513471
+0.0499422
+0.0485954
+0.0473118
+0.0460966
+0.0449548
+0.0438903
+0.0429114
+0.0420239
+0.0408736
+0.0397021
+0.0386094
+0.0376127
+0.0367198
+0.0359384
+0.0352759
+0.0347392
+0.0343342
+0.0340654
+0.0339236
+0.0339082
+0.0340341
+0.0342998
+0.034702
+0.035236
+0.0356128
+0.0356769
+0.0358748
+0.0362045
+0.0366623
+0.0372418
+0.0379164
+0.0387034
+0.0395961
+0.0405875
+0.0416705
+0.0428384
+0.0440842
+0.0454016
+0.0467845
+0.0482273
+0.0497248
+0.0512722
+0.052865
+0.0544994
+0.0561713
+0.0578763
+0.059613
+0.0613787
+0.0631505
+0.0647326
+0.0663493
+0.101121
+0.100882
+0.100622
+0.100349
+0.100122
+0.0999435
+0.0996297
+0.0981661
+0.0967299
+0.0953225
+0.0939451
+0.092599
+0.0912856
+0.0900064
+0.0887628
+0.0875564
+0.0863887
+0.0852613
+0.0841758
+0.0831339
+0.0821373
+0.0811832
+0.0802719
+0.079409
+0.0785977
+0.0778397
+0.0771364
+0.0764894
+0.0759002
+0.07537
+0.0749002
+0.0744919
+0.0741461
+0.0738637
+0.0736454
+0.0732943
+0.0714607
+0.0696476
+0.0678569
+0.0660902
+0.0643497
+0.0626374
+0.0609557
+0.0593073
+0.0576949
+0.0561133
+0.0545674
+0.053067
+0.0516159
+0.0502185
+0.0488794
+0.0476034
+0.0463959
+0.0452601
+0.044203
+0.0432311
+0.0423503
+0.0411884
+0.040026
+0.0389424
+0.0379545
+0.0370698
+0.0362959
+0.0356401
+0.035109
+0.0347082
+0.0344424
+0.0343021
+0.0342869
+0.0344115
+0.0346742
+0.0350721
+0.0356006
+0.0359219
+0.0359854
+0.0361817
+0.0365086
+0.0369627
+0.0375306
+0.0382
+0.0389813
+0.0398678
+0.0408526
+0.0419288
+0.0430896
+0.0443284
+0.0456387
+0.0470147
+0.0484506
+0.0499414
+0.0514823
+0.0530688
+0.0546972
+0.0563636
+0.0580649
+0.059798
+0.0615603
+0.06334
+0.0649175
+0.0665296
+0.102252
+0.102016
+0.101826
+0.101683
+0.101486
+0.10131
+0.10118
+0.0997839
+0.0983714
+0.0969877
+0.0956343
+0.0943123
+0.0930231
+0.0917681
+0.0905488
+0.0893665
+0.0882227
+0.0871191
+0.086057
+0.0850382
+0.0840641
+0.0831275
+0.0822377
+0.0813957
+0.0806044
+0.0798654
+0.0791801
+0.07855
+0.0779763
+0.0774604
+0.0770033
+0.0766062
+0.07627
+0.0759955
+0.0753947
+0.0735482
+0.071721
+0.0699147
+0.068131
+0.0663716
+0.0646386
+0.0629342
+0.0612606
+0.0596206
+0.058017
+0.0564445
+0.0549079
+0.0534171
+0.0519758
+0.0505882
+0.0492564
+0.0479878
+0.0467874
+0.0456605
+0.0446129
+0.0436501
+0.042778
+0.0416162
+0.0404661
+0.0393946
+0.0384183
+0.0375446
+0.0367807
+0.0361337
+0.0356099
+0.0352149
+0.0349529
+0.0348147
+0.0347997
+0.0349224
+0.0351814
+0.0355736
+0.0360947
+0.0363606
+0.0364233
+0.0366173
+0.0369403
+0.0373891
+0.0379438
+0.0386061
+0.0393793
+0.040257
+0.0412325
+0.0422991
+0.04345
+0.0446788
+0.0459791
+0.0473452
+0.0487714
+0.0502527
+0.0517843
+0.0533619
+0.0549815
+0.0566396
+0.0583328
+0.0600582
+0.0618131
+0.063595
+0.0651755
+0.0667814
+0.103409
+0.103176
+0.102989
+0.102848
+0.102745
+0.102689
+0.102577
+0.101423
+0.100034
+0.0986735
+0.0973435
+0.096045
+0.0947794
+0.093548
+0.0923522
+0.0911932
+0.0900727
+0.088992
+0.0879526
+0.0869559
+0.0859997
+0.0850838
+0.0842147
+0.0833926
+0.0826204
+0.0818996
+0.0812315
+0.0806174
+0.0800585
+0.0795561
+0.0791112
+0.0787247
+0.0783975
+0.077562
+0.0757049
+0.0738661
+0.072047
+0.0702491
+0.0684741
+0.0667237
+0.0650001
+0.0633054
+0.061642
+0.0600124
+0.0584195
+0.0568582
+0.0553323
+0.0538507
+0.0524188
+0.0510409
+0.0497212
+0.0484648
+0.0472764
+0.0461616
+0.0451255
+0.044174
+0.0433124
+0.0421537
+0.0410187
+0.039962
+0.0389999
+0.0381395
+0.0373878
+0.0367514
+0.0362366
+0.0358484
+0.0355911
+0.0354554
+0.0354407
+0.0355612
+0.0358155
+0.0362009
+0.0367131
+0.0369243
+0.036986
+0.037177
+0.0374953
+0.0379375
+0.0384775
+0.0391308
+0.0398938
+0.0407604
+0.0417242
+0.0427785
+0.0439169
+0.0451329
+0.0464206
+0.047774
+0.0491878
+0.0506569
+0.0521766
+0.0537427
+0.0553512
+0.0569985
+0.0586814
+0.0603968
+0.0621421
+0.0639149
+0.0655058
+0.0671039
+0.1046
+0.104369
+0.104184
+0.104045
+0.103945
+0.103889
+0.103879
+0.103083
+0.101716
+0.100379
+0.0990717
+0.0977961
+0.0965535
+0.095345
+0.0941719
+0.0930357
+0.0919376
+0.0908791
+0.0898615
+0.0888863
+0.0879466
+0.0870512
+0.0862019
+0.085399
+0.0846451
+0.0839417
+0.08329
+0.0826911
+0.0821464
+0.0816568
+0.0812234
+0.080847
+0.0797907
+0.0779251
+0.0760769
+0.0742473
+0.0724378
+0.0706498
+0.0688851
+0.0671455
+0.0654331
+0.0637498
+0.0620978
+0.06048
+0.0588993
+0.0573465
+0.0558325
+0.0543645
+0.0529466
+0.0515827
+0.0502773
+0.049035
+0.0478609
+0.0467599
+0.0457375
+0.0447989
+0.0439495
+0.0427966
+0.0416792
+0.0406397
+0.039694
+0.0388489
+0.0381112
+0.0374872
+0.0369826
+0.0366024
+0.0363504
+0.0362175
+0.0362031
+0.0363211
+0.0365701
+0.0369476
+0.0374496
+0.0376073
+0.0376679
+0.0378555
+0.0381681
+0.038598
+0.0391268
+0.0397694
+0.0405204
+0.0413739
+0.0423237
+0.0433634
+0.0444868
+0.0456877
+0.0469601
+0.0482984
+0.0496973
+0.0511518
+0.0526572
+0.0542094
+0.0558045
+0.0574388
+0.0591091
+0.0608125
+0.0625462
+0.0643078
+0.0659073
+0.0674959
+0.105823
+0.105595
+0.105412
+0.105274
+0.105177
+0.105122
+0.105112
+0.104762
+0.103418
+0.102103
+0.100818
+0.0995647
+0.0983444
+0.0971581
+0.0960073
+0.094893
+0.0938167
+0.0927796
+0.0917831
+0.0908249
+0.0899048
+0.089029
+0.0881988
+0.0874142
+0.0866779
+0.0859911
+0.085355
+0.0847708
+0.0842395
+0.0837621
+0.0833397
+0.0820758
+0.0802036
+0.0783478
+0.0765094
+0.07469
+0.0728911
+0.0711141
+0.0693608
+0.067633
+0.0659328
+0.0642622
+0.0626237
+0.0610199
+0.059453
+0.0579122
+0.0564134
+0.0549609
+0.0535588
+0.0522109
+0.0509216
+0.0496955
+0.0485373
+0.047452
+0.0464448
+0.0455208
+0.0446852
+0.0435405
+0.0424426
+0.0414223
+0.0404949
+0.0396669
+0.0389447
+0.0383342
+0.0378409
+0.0374694
+0.0372233
+0.0370935
+0.0370794
+0.0371946
+0.0374379
+0.0378067
+0.0382975
+0.0383891
+0.0384485
+0.0386323
+0.0389386
+0.0393646
+0.0398859
+0.0405165
+0.0412539
+0.0420925
+0.0430265
+0.0440496
+0.0451559
+0.0463395
+0.0475945
+0.0489155
+0.0502972
+0.0517348
+0.0532238
+0.0547599
+0.0563394
+0.0579586
+0.0596143
+0.0613037
+0.0630239
+0.0647725
+0.0663788
+0.0679563
+0.107076
+0.106851
+0.10667
+0.106534
+0.10644
+0.106385
+0.106375
+0.106411
+0.105137
+0.103844
+0.102581
+0.10135
+0.100151
+0.0989866
+0.0978572
+0.0967642
+0.0957089
+0.0946926
+0.0937164
+0.092774
+0.0918734
+0.0910166
+0.0902047
+0.0894377
+0.0887182
+0.0880473
+0.0874262
+0.0868559
+0.0863374
+0.0858717
+0.084411
+0.0825332
+0.0806712
+0.0788262
+0.0769992
+0.0751917
+0.0734051
+0.0716408
+0.0699008
+0.0681867
+0.0665006
+0.0648446
+0.0632213
+0.061633
+0.0600798
+0.0585545
+0.0570725
+0.0556373
+0.0542526
+0.0529223
+0.0516508
+0.0504424
+0.0493018
+0.0482337
+0.0472432
+0.0463351
+0.0455144
+0.0443801
+0.0433035
+0.0423039
+0.0413963
+0.0405867
+0.0398811
+0.0392852
+0.038804
+0.0384418
+0.038202
+0.0380755
+0.0380618
+0.0381741
+0.0384111
+0.0387707
+0.0392494
+0.0392708
+0.0393289
+0.0395085
+0.0398081
+0.040225
+0.0407489
+0.0413663
+0.0420888
+0.0429111
+0.0438276
+0.0448325
+0.0459199
+0.0470843
+0.04832
+0.0496216
+0.0509842
+0.052403
+0.0538735
+0.0553916
+0.0569535
+0.0585558
+0.0601951
+0.0618686
+0.0635735
+0.0653074
+0.0669186
+0.0684837
+0.10836
+0.108137
+0.107959
+0.107824
+0.107732
+0.107678
+0.107669
+0.107704
+0.106874
+0.105602
+0.10436
+0.10315
+0.101973
+0.100829
+0.0997209
+0.0986486
+0.0976137
+0.0966173
+0.0956576
+0.0947337
+0.0938519
+0.0930133
+0.092219
+0.0914689
+0.0907655
+0.0901098
+0.089503
+0.0889461
+0.0884399
+0.0867933
+0.0849117
+0.0830453
+0.0811951
+0.0793622
+0.0775479
+0.0757534
+0.0739804
+0.0722302
+0.0705047
+0.0688056
+0.0671351
+0.0654952
+0.0638883
+0.0623128
+0.0607746
+0.0592678
+0.057804
+0.0563875
+0.0550216
+0.0537105
+0.0524581
+0.0512687
+0.0501469
+0.0490972
+0.0481244
+0.0472333
+0.0464285
+0.0453101
+0.0442562
+0.0432786
+0.0423918
+0.0416016
+0.0409136
+0.0403329
+0.0398644
+0.0395119
+0.0392786
+0.0391556
+0.0391423
+0.0392514
+0.039482
+0.0398319
+0.040298
+0.0402525
+0.0403092
+0.0404845
+0.0407769
+0.041184
+0.0417023
+0.0423125
+0.0430191
+0.043824
+0.0447218
+0.045707
+0.0467741
+0.0479177
+0.0491324
+0.0504131
+0.0517549
+0.0531531
+0.0546034
+0.0561018
+0.0576445
+0.059228
+0.0608493
+0.0625052
+0.0641933
+0.0659109
+0.0675252
+0.0690766
+0.109672
+0.109452
+0.109276
+0.109143
+0.109053
+0.109
+0.10899
+0.109025
+0.108628
+0.107376
+0.106155
+0.104966
+0.103809
+0.102686
+0.101598
+0.100545
+0.0995302
+0.0985533
+0.0976085
+0.0967033
+0.0958396
+0.0950186
+0.0942412
+0.0935073
+0.0928193
+0.0921783
+0.0915852
+0.091041
+0.0892197
+0.0873354
+0.0854658
+0.0836117
+0.0817743
+0.0799547
+0.0781541
+0.0763739
+0.0746156
+0.0728807
+0.0711709
+0.0694882
+0.0678337
+0.0662066
+0.0646127
+0.0630547
+0.0615351
+0.0600473
+0.0586031
+0.0572063
+0.0558605
+0.0545695
+0.0533372
+0.0521679
+0.0510659
+0.0500355
+0.0490813
+0.0482079
+0.0474196
+0.0463246
+0.0452863
+0.0443307
+0.0434645
+0.0426933
+0.0420222
+0.0414562
+0.0409996
+0.040656
+0.0404284
+0.0403101
+0.0402972
+0.0404032
+0.0406272
+0.0409674
+0.041388
+0.0413272
+0.0413824
+0.0415532
+0.0418381
+0.0422349
+0.0427405
+0.0433489
+0.0440389
+0.0448255
+0.0457036
+0.0466681
+0.0477137
+0.0488353
+0.0500277
+0.0512861
+0.0526056
+0.0539817
+0.0554104
+0.0568875
+0.0584094
+0.0599728
+0.0615744
+0.0632114
+0.0648811
+0.0665809
+0.0681969
+0.0697333
+0.111012
+0.110795
+0.11062
+0.110489
+0.110401
+0.110348
+0.110339
+0.110373
+0.110396
+0.109165
+0.107965
+0.106795
+0.105659
+0.104555
+0.103487
+0.102454
+0.101458
+0.100497
+0.0995695
+0.0986822
+0.097836
+0.0970319
+0.0962707
+0.0955525
+0.0948793
+0.0942523
+0.0935857
+0.0916865
+0.0898006
+0.0879287
+0.086072
+0.0842312
+0.0824077
+0.0806023
+0.0788166
+0.0770517
+0.0753092
+0.0735906
+0.0718959
+0.0702263
+0.0685859
+0.066977
+0.065402
+0.0638632
+0.0623633
+0.0608958
+0.0594721
+0.0580962
+0.0567715
+0.0555017
+0.0542907
+0.0531423
+0.0520609
+0.0510506
+0.0501157
+0.0492606
+0.0484895
+0.047401
+0.0463855
+0.045453
+0.0446086
+0.0438575
+0.0432045
+0.0426542
+0.0422105
+0.0418769
+0.041656
+0.0415407
+0.0415282
+0.041631
+0.0418485
+0.0421788
+0.0425469
+0.0424877
+0.0425414
+0.0427075
+0.0429848
+0.0433712
+0.0438636
+0.0444587
+0.045142
+0.0459097
+0.0467674
+0.0477104
+0.0487337
+0.0498324
+0.0510015
+0.0522364
+0.0535324
+0.0548854
+0.0562911
+0.0577457
+0.0592456
+0.0607875
+0.0623682
+0.0639848
+0.0656348
+0.0673156
+0.0689316
+0.070452
+0.112378
+0.112164
+0.111992
+0.111862
+0.111775
+0.111723
+0.111713
+0.111747
+0.111824
+0.110969
+0.109788
+0.108638
+0.107521
+0.106437
+0.105388
+0.104374
+0.103396
+0.102449
+0.10154
+0.10067
+0.0998406
+0.0990527
+0.0983072
+0.0976039
+0.096945
+0.0960903
+0.0941906
+0.0923039
+0.0904308
+0.0885723
+0.0867293
+0.0849028
+0.083094
+0.0813039
+0.0795339
+0.0777853
+0.0760568
+0.0743514
+0.0726721
+0.0710207
+0.0693991
+0.0678095
+0.0662543
+0.0647358
+0.0632566
+0.0618102
+0.0604082
+0.0590541
+0.0577514
+0.0565036
+0.0553144
+0.0541878
+0.0531276
+0.052138
+0.051223
+0.0503867
+0.0496191
+0.0485512
+0.0475603
+0.0466512
+0.0458289
+0.0450981
+0.0444634
+0.0439288
+0.0434982
+0.0431745
+0.0429602
+0.042848
+0.0428359
+0.0429356
+0.0431465
+0.0434669
+0.0437847
+0.0437272
+0.0437794
+0.0439409
+0.0442104
+0.0445861
+0.0450653
+0.0456447
+0.0463205
+0.0470709
+0.0479079
+0.0488289
+0.0498292
+0.0509042
+0.0520493
+0.0532599
+0.0545316
+0.0558603
+0.0572421
+0.0586731
+0.0601499
+0.0616692
+0.0632278
+0.0648231
+0.0664523
+0.0681129
+0.0697275
+0.0712309
+0.113771
+0.113559
+0.113389
+0.113261
+0.113175
+0.113123
+0.113114
+0.113147
+0.113223
+0.112786
+0.111624
+0.110494
+0.109396
+0.10833
+0.107299
+0.106304
+0.105341
+0.104411
+0.103519
+0.102666
+0.101853
+0.101081
+0.10035
+0.0996613
+0.0986286
+0.0967292
+0.0948423
+0.0929687
+0.0911093
+0.089265
+0.0874366
+0.0856252
+0.0838319
+0.0820578
+0.0803009
+0.0785655
+0.0768534
+0.0751661
+0.0735054
+0.0718731
+0.0702712
+0.0687018
+0.0671672
+0.0656699
+0.0642122
+0.0627879
+0.0614081
+0.0600766
+0.0587965
+0.0575714
+0.0564048
+0.0553003
+0.0542619
+0.0532934
+0.0523986
+0.0515813
+0.0508136
+0.0497713
+0.0488051
+0.0479197
+0.0471195
+0.0464091
+0.0457925
+0.0452737
+0.0448559
+0.0445421
+0.0443344
+0.0442253
+0.0442135
+0.0443101
+0.0445145
+0.0448251
+0.0450951
+0.0450392
+0.0450899
+0.0452467
+0.0455085
+0.0458736
+0.0463395
+0.0469031
+0.0475611
+0.0483037
+0.0491196
+0.0500183
+0.0509953
+0.0520462
+0.0531667
+0.0543524
+0.0555992
+0.056903
+0.05826
+0.0596666
+0.0611194
+0.0626152
+0.0641509
+0.0657237
+0.0673311
+0.0689706
+0.0705824
+0.072068
+0.115188
+0.114979
+0.114811
+0.114684
+0.114599
+0.114548
+0.114539
+0.114572
+0.114647
+0.114616
+0.113473
+0.112362
+0.111282
+0.110235
+0.109222
+0.108244
+0.107295
+0.106382
+0.105507
+0.10467
+0.103872
+0.103115
+0.102399
+0.101198
+0.0992995
+0.0974131
+0.0955398
+0.0936802
+0.0918352
+0.0900057
+0.0881926
+0.0863962
+0.0846157
+0.0828549
+0.081115
+0.0793974
+0.0777036
+0.0760352
+0.0743939
+0.0727816
+0.0712001
+0.0696516
+0.0681384
+0.0666629
+0.0652274
+0.0638257
+0.0624689
+0.0611605
+0.0599036
+0.0587015
+0.0575578
+0.056476
+0.0554596
+0.0545123
+0.0536378
+0.0528398
+0.0520728
+0.0510562
+0.0501149
+0.049253
+0.0484748
+0.0477845
+0.0471859
+0.0466826
+0.0462775
+0.0459734
+0.0457723
+0.0456661
+0.0456547
+0.0457483
+0.0459463
+0.0462473
+0.0464696
+0.0464155
+0.0464646
+0.0466168
+0.046871
+0.0472255
+0.0476782
+0.0482262
+0.0488664
+0.0495951
+0.0503975
+0.0512738
+0.0522273
+0.0532539
+0.0543495
+0.05551
+0.0567313
+0.0580097
+0.0593414
+0.060723
+0.0621511
+0.0636226
+0.0651345
+0.0666842
+0.0682689
+0.0698864
+0.0714942
+0.0729612
+0.116629
+0.116422
+0.116256
+0.116132
+0.116048
+0.115997
+0.115989
+0.116021
+0.116095
+0.11621
+0.115335
+0.114241
+0.113179
+0.11215
+0.111154
+0.11019
+0.109258
+0.108361
+0.107502
+0.106681
+0.105898
+0.105156
+0.103796
+0.101899
+0.100014
+0.0981412
+0.096282
+0.094437
+0.0926071
+0.0907914
+0.088991
+0.0872084
+0.0854448
+0.0837014
+0.0819795
+0.0802804
+0.0786057
+0.0769569
+0.0753357
+0.0737439
+0.0721835
+0.0706566
+0.0691654
+0.0677122
+0.0662994
+0.064921
+0.0635875
+0.0623025
+0.0610692
+0.0598905
+0.05877
+0.0577108
+0.0567166
+0.0557907
+0.0549365
+0.0541576
+0.0533923
+0.0524013
+0.0514845
+0.0506459
+0.0498895
+0.0492191
+0.0486382
+0.04815
+0.0477574
+0.0474628
+0.0472679
+0.0471647
+0.0471537
+0.0472443
+0.047436
+0.0477277
+0.0479047
+0.0478522
+0.0478999
+0.0480475
+0.0482942
+0.0486383
+0.049078
+0.0496105
+0.050233
+0.0509422
+0.0517346
+0.0525906
+0.0535207
+0.0545229
+0.0555935
+0.0567285
+0.0579242
+0.0591768
+0.0604828
+0.0618389
+0.0632418
+0.0646885
+0.0661761
+0.0677019
+0.0692634
+0.0708582
+0.0724609
+0.0739087
+0.118093
+0.117889
+0.117725
+0.117602
+0.117519
+0.117469
+0.117461
+0.117493
+0.117566
+0.117679
+0.117207
+0.116131
+0.115086
+0.114074
+0.113096
+0.112145
+0.111229
+0.110349
+0.109505
+0.108699
+0.107931
+0.106422
+0.104526
+0.102642
+0.100771
+0.0989125
+0.0970681
+0.0952357
+0.0934182
+0.091617
+0.0898332
+0.0880677
+0.0863216
+0.0845963
+0.082893
+0.081213
+0.0795579
+0.0779292
+0.0763287
+0.0747581
+0.0732193
+0.0717144
+0.0702457
+0.0688153
+0.0674257
+0.0660707
+0.0647609
+0.0634997
+0.06229
+0.0611349
+0.0600376
+0.0590012
+0.0580291
+0.0571244
+0.0562906
+0.0555306
+0.0547676
+0.053802
+0.0529095
+0.0520938
+0.0513588
+0.0507077
+0.0501441
+0.0496707
+0.0492902
+0.0490048
+0.0488161
+0.0487158
+0.0487051
+0.0487928
+0.0489785
+0.049261
+0.0493953
+0.0493444
+0.0493906
+0.0495338
+0.0497731
+0.0501071
+0.050534
+0.0510513
+0.0516565
+0.0523464
+0.0531178
+0.0539642
+0.054871
+0.0558491
+0.0568947
+0.0580042
+0.0591741
+0.0604008
+0.0616809
+0.0630112
+0.0643886
+0.0658101
+0.0672729
+0.0687744
+0.070312
+0.0718836
+0.0734801
+0.0749082
+0.11958
+0.119378
+0.119216
+0.119095
+0.119013
+0.118964
+0.118955
+0.118987
+0.119059
+0.119171
+0.11909
+0.118031
+0.117004
+0.116008
+0.115044
+0.114109
+0.113208
+0.112343
+0.111515
+0.110723
+0.109071
+0.107178
+0.105296
+0.103426
+0.101569
+0.0997226
+0.0978904
+0.0960731
+0.0942718
+0.0924872
+0.0907205
+0.0889725
+0.0872446
+0.0855379
+0.0838537
+0.0821934
+0.0805584
+0.0789504
+0.077371
+0.075822
+0.0743052
+0.0728228
+0.0713769
+0.0699697
+0.0686034
+0.0672721
+0.0659862
+0.0647489
+0.063563
+0.0624314
+0.0613573
+0.0603436
+0.0593934
+0.0585099
+0.057696
+0.0569548
+0.0561947
+0.055254
+0.0543853
+0.0535922
+0.0528779
+0.0522458
+0.0516989
+0.0512399
+0.0508712
+0.0505947
+0.050412
+0.0503144
+0.0503041
+0.050389
+0.0505688
+0.0508425
+0.0509366
+0.0508871
+0.050932
+0.0510709
+0.051303
+0.0516271
+0.0520415
+0.052544
+0.0531322
+0.0538032
+0.054554
+0.0553813
+0.0562734
+0.0572274
+0.0582483
+0.0593326
+0.0604768
+0.0616775
+0.0629317
+0.0642361
+0.0655878
+0.0669838
+0.0684215
+0.0698983
+0.0714118
+0.0729597
+0.0745398
+0.0759578
+0.105961
+0.104694
+0.103457
+0.102252
+0.101079
+0.0998156
+0.09857
+0.0973573
+0.0961727
+0.0950238
+0.0938856
+0.0927554
+0.0916572
+0.0905986
+0.0895812
+0.0885896
+0.0875682
+0.0865695
+0.0855713
+0.0846125
+0.0837
+0.0828354
+0.0820202
+0.0812502
+0.0804538
+0.0796668
+0.0789131
+0.0781386
+0.0774184
+0.0766177
+0.0755931
+0.0746185
+0.0736962
+0.0728152
+0.0719645
+0.0711689
+0.0704282
+0.0697448
+0.0691209
+0.0685614
+0.0680653
+0.0676254
+0.0672539
+0.066864
+0.0661426
+0.0654732
+0.0648708
+0.0643373
+0.0638745
+0.0633803
+0.0629007
+0.0623345
+0.0613698
+0.060469
+0.0596352
+0.0588711
+0.0581795
+0.057563
+0.0570241
+0.0565649
+0.0561859
+0.0558409
+0.0553637
+0.0549698
+0.0546609
+0.0544384
+0.0543035
+0.0542568
+0.0542985
+0.0541584
+0.0538511
+0.0536257
+0.053477
+0.0533721
+0.0533417
+0.0533875
+0.0535229
+0.0537019
+0.0539483
+0.0542795
+0.0546236
+0.055024
+0.0554103
+0.0554604
+0.0555968
+0.055819
+0.0561258
+0.0565086
+0.0569641
+0.0574995
+0.0581126
+0.058801
+0.0595621
+0.060393
+0.061291
+0.0622532
+0.0632767
+0.0643584
+0.0654956
+0.0666854
+0.104689
+0.103406
+0.102154
+0.100934
+0.0997455
+0.0985705
+0.0973089
+0.0960807
+0.0948863
+0.0937217
+0.0925942
+0.0914609
+0.0903521
+0.0892781
+0.0882454
+0.0872555
+0.0862507
+0.0852528
+0.0842574
+0.0832872
+0.08236
+0.0814812
+0.0806523
+0.0798749
+0.0791034
+0.0783109
+0.077564
+0.0768043
+0.0760703
+0.0753918
+0.0743503
+0.0733592
+0.0724208
+0.0715241
+0.0706578
+0.0698495
+0.0691012
+0.0684094
+0.0677732
+0.0672024
+0.0666957
+0.0662467
+0.0656887
+0.0648809
+0.0641377
+0.0634517
+0.0628299
+0.0622789
+0.0618008
+0.0612709
+0.0607754
+0.0603458
+0.0595609
+0.0586324
+0.0577721
+0.056983
+0.0562682
+0.0556305
+0.0550727
+0.0545971
+0.054206
+0.0538853
+0.0534637
+0.0530557
+0.0527355
+0.0525049
+0.0523651
+0.0523166
+0.0523598
+0.0521256
+0.0518178
+0.0515835
+0.0514368
+0.0513262
+0.0512946
+0.0513422
+0.051483
+0.0516691
+0.0519272
+0.0522705
+0.0526135
+0.0530292
+0.0534705
+0.0535224
+0.0536637
+0.0538938
+0.0542115
+0.0546132
+0.0550843
+0.0556378
+0.0562712
+0.0569819
+0.0577669
+0.0586233
+0.059548
+0.0605379
+0.0615899
+0.0627007
+0.0638675
+0.065087
+0.103447
+0.102149
+0.100881
+0.0996456
+0.0984429
+0.0972736
+0.0960813
+0.0948372
+0.0936279
+0.0924532
+0.0913101
+0.0901973
+0.089078
+0.0879923
+0.0869443
+0.0859395
+0.0849693
+0.0839561
+0.0829785
+0.0819972
+0.0810571
+0.080164
+0.0793213
+0.0785308
+0.0777755
+0.0769927
+0.0762329
+0.0754972
+0.0747502
+0.0740604
+0.073152
+0.0721444
+0.07119
+0.0702776
+0.0693958
+0.0685726
+0.0678102
+0.0671107
+0.0664653
+0.0658833
+0.0653631
+0.0646406
+0.0637443
+0.0629115
+0.0621448
+0.0614418
+0.0607994
+0.0602299
+0.0597353
+0.0591645
+0.0586548
+0.0582129
+0.0577785
+0.0568209
+0.0559327
+0.0551173
+0.054378
+0.0537179
+0.05314
+0.0526469
+0.0522412
+0.0519115
+0.0515867
+0.0511637
+0.0508317
+0.0505924
+0.0504472
+0.0503969
+0.0504418
+0.0501062
+0.0497978
+0.049554
+0.0494041
+0.0492928
+0.0492599
+0.0493094
+0.049456
+0.0496498
+0.0499173
+0.0502637
+0.0506185
+0.0510503
+0.0515507
+0.0516045
+0.0517511
+0.0519897
+0.052319
+0.0527373
+0.0532283
+0.0538009
+0.0544557
+0.0551897
+0.0559999
+0.0568829
+0.0578354
+0.0588542
+0.0599357
+0.0610766
+0.0622738
+0.0635239
+0.102237
+0.100923
+0.0996401
+0.098389
+0.0971712
+0.0959875
+0.0948384
+0.0936284
+0.0924033
+0.0912143
+0.0900609
+0.088941
+0.0878314
+0.0867369
+0.0856795
+0.0846596
+0.0836847
+0.0826972
+0.0817146
+0.0807419
+0.0797929
+0.0788856
+0.0780292
+0.0772254
+0.076476
+0.0757105
+0.0749377
+0.0742216
+0.0734716
+0.0727697
+0.0720004
+0.0709765
+0.0700061
+0.0690781
+0.0681808
+0.0673427
+0.0665663
+0.0658536
+0.0651958
+0.0646024
+0.0637261
+0.0627402
+0.0618163
+0.0609572
+0.0601656
+0.059444
+0.0587805
+0.0581912
+0.0576596
+0.0570641
+0.0565397
+0.0560845
+0.0556977
+0.0550369
+0.0541195
+0.0532763
+0.0525111
+0.0518272
+0.051228
+0.0507164
+0.0502951
+0.0499559
+0.0497028
+0.0492965
+0.0489518
+0.0487033
+0.0485525
+0.0485002
+0.0484727
+0.0481018
+0.0477929
+0.0475388
+0.0473759
+0.0472734
+0.0472391
+0.0472907
+0.0474436
+0.0476456
+0.0479232
+0.0482729
+0.0486403
+0.0490895
+0.0496283
+0.0497093
+0.0498614
+0.050109
+0.0504505
+0.0508842
+0.0513987
+0.0519915
+0.0526687
+0.0534273
+0.0542638
+0.0551746
+0.0561561
+0.0572047
+0.0583168
+0.0594889
+0.0607173
+0.0619989
+0.10106
+0.0997309
+0.0984322
+0.0971656
+0.0959323
+0.0947336
+0.0935702
+0.092443
+0.0912149
+0.0900102
+0.0888431
+0.0877128
+0.0866179
+0.0855096
+0.0844418
+0.0834177
+0.0824281
+0.0814777
+0.0804803
+0.0795272
+0.0785639
+0.0776481
+0.0767778
+0.0759608
+0.0751987
+0.0744612
+0.0736848
+0.0729564
+0.0722369
+0.0715229
+0.0708694
+0.0698577
+0.0688716
+0.0679281
+0.0670154
+0.0661626
+0.0653721
+0.0646462
+0.0639761
+0.0629508
+0.0618752
+0.0608593
+0.0599065
+0.0590195
+0.0582016
+0.0574556
+0.0567743
+0.0561639
+0.0555888
+0.0549709
+0.0544305
+0.0539603
+0.0535589
+0.053241
+0.0523351
+0.0514628
+0.0506702
+0.0499611
+0.0493392
+0.0488078
+0.0483698
+0.0480205
+0.0477572
+0.047457
+0.0470988
+0.0468405
+0.0466836
+0.0466293
+0.0465011
+0.0461143
+0.045805
+0.0455398
+0.0453628
+0.0452699
+0.0452341
+0.045288
+0.0454476
+0.0456582
+0.045947
+0.0463002
+0.0466811
+0.047149
+0.0477016
+0.0478392
+0.0479973
+0.0482544
+0.048609
+0.049059
+0.0495983
+0.0502123
+0.0509133
+0.0516976
+0.0525616
+0.0535014
+0.0545131
+0.0555927
+0.0567364
+0.0579404
+0.059201
+0.0605147
+0.0999177
+0.0985728
+0.0972587
+0.0959766
+0.0947278
+0.0935137
+0.0923355
+0.091194
+0.0900641
+0.0888437
+0.0876612
+0.086518
+0.0854125
+0.0843213
+0.0832383
+0.0821994
+0.0812064
+0.0802541
+0.0792872
+0.0783231
+0.0773769
+0.076448
+0.0755639
+0.0747336
+0.0739589
+0.0732416
+0.0724766
+0.0717358
+0.0710479
+0.0703222
+0.0696575
+0.0687905
+0.0677889
+0.0668301
+0.0659022
+0.0650348
+0.0642304
+0.0634915
+0.0623201
+0.061155
+0.0600471
+0.0589998
+0.0580164
+0.0571002
+0.0562543
+0.0554821
+0.0547822
+0.0541494
+0.0535248
+0.0528855
+0.0523273
+0.0518387
+0.0514245
+0.0510963
+0.0505563
+0.0496796
+0.0488581
+0.0481223
+0.0474764
+0.0469239
+0.0464682
+0.0461079
+0.0458337
+0.0456485
+0.045276
+0.0450072
+0.044844
+0.0447874
+0.0445499
+0.0441461
+0.0438268
+0.0435496
+0.0433668
+0.0432846
+0.0432472
+0.0433035
+0.0434704
+0.0436897
+0.0439912
+0.0443479
+0.0447433
+0.0452313
+0.0457987
+0.0459975
+0.0461619
+0.0464292
+0.0467976
+0.0472648
+0.0478279
+0.048467
+0.0491928
+0.0500041
+0.0508969
+0.0518668
+0.0529098
+0.0540214
+0.0551977
+0.0564346
+0.0577281
+0.0590745
+0.0987695
+0.0974502
+0.0961208
+0.0948233
+0.0935591
+0.0923296
+0.0911362
+0.0899803
+0.0888624
+0.0877165
+0.0865186
+0.0853601
+0.0842426
+0.083164
+0.0820757
+0.0810219
+0.0800142
+0.0790544
+0.0781351
+0.0771589
+0.0762309
+0.0752914
+0.0743936
+0.0735501
+0.0727628
+0.0720336
+0.0713151
+0.0705622
+0.0698699
+0.06917
+0.0684941
+0.0677774
+0.0667606
+0.0657868
+0.0648439
+0.0639622
+0.0631418
+0.0618384
+0.0605848
+0.0593856
+0.0582441
+0.0571638
+0.0561482
+0.055201
+0.0543256
+0.0535256
+0.0528044
+0.0521491
+0.0514683
+0.050809
+0.0502279
+0.0497231
+0.049295
+0.0489526
+0.0487064
+0.0479216
+0.0470782
+0.0463142
+0.0456426
+0.0450677
+0.044593
+0.044221
+0.0439352
+0.0437571
+0.0434872
+0.0432073
+0.0430372
+0.0429782
+0.0426168
+0.0421923
+0.0418655
+0.0415752
+0.0413906
+0.0413073
+0.0412787
+0.0413377
+0.0415125
+0.0417415
+0.0420585
+0.0424189
+0.0428299
+0.0433392
+0.0439226
+0.0441876
+0.0443588
+0.0446368
+0.04502
+0.0455054
+0.04609
+0.0467591
+0.047511
+0.0483505
+0.0492733
+0.0502746
+0.0513498
+0.0524946
+0.0537043
+0.0549748
+0.0563018
+0.0576815
+0.0976508
+0.0963249
+0.0950198
+0.093707
+0.0924276
+0.0911828
+0.0899742
+0.0888031
+0.0876712
+0.0865788
+0.0854169
+0.0842432
+0.0831107
+0.0820211
+0.0809556
+0.0798871
+0.0788649
+0.0778909
+0.0769579
+0.07604
+0.0750982
+0.0741763
+0.0732702
+0.0724136
+0.0716138
+0.0708727
+0.0701922
+0.0694378
+0.0687342
+0.0680652
+0.067382
+0.0667599
+0.0657892
+0.0648008
+0.0638433
+0.0628742
+0.061498
+0.060169
+0.0588799
+0.0576452
+0.0564685
+0.0553536
+0.0543042
+0.0533242
+0.0524174
+0.0515878
+0.0508392
+0.0501647
+0.0494233
+0.0487425
+0.0481365
+0.0476143
+0.0471711
+0.0468132
+0.0465557
+0.0461289
+0.0453343
+0.0445404
+0.0438417
+0.0432428
+0.0427479
+0.0423606
+0.0420651
+0.0418791
+0.0417367
+0.0414449
+0.0412675
+0.0411729
+0.0407052
+0.0402606
+0.0399281
+0.0396235
+0.0394369
+0.0393496
+0.0393328
+0.0393948
+0.0395776
+0.0398108
+0.0401412
+0.0405166
+0.0409439
+0.0414715
+0.0420769
+0.0424137
+0.042592
+0.0428815
+0.0432802
+0.0437849
+0.0443921
+0.0450929
+0.0458722
+0.0467412
+0.047695
+0.0487288
+0.0498374
+0.0510161
+0.0522601
+0.0535648
+0.0549259
+0.0563393
+0.0965689
+0.0952279
+0.0939188
+0.0926291
+0.0913346
+0.0900747
+0.088851
+0.0876649
+0.0865181
+0.0854121
+0.0843472
+0.0831664
+0.0820191
+0.0809147
+0.0798348
+0.0787054
+0.0775804
+0.0765016
+0.0754711
+0.0744906
+0.0735558
+0.0726727
+0.0718455
+0.0710763
+0.0703669
+0.0697192
+0.0690699
+0.0683629
+0.0676504
+0.0669997
+0.0663235
+0.0656914
+0.0648686
+0.0638747
+0.0627585
+0.0613015
+0.0598893
+0.0585249
+0.057208
+0.0559364
+0.0547231
+0.0535718
+0.0524868
+0.0514722
+0.0505322
+0.0496711
+0.0488931
+0.0481796
+0.0473914
+0.0466851
+0.0460543
+0.0455133
+0.0450536
+0.0446787
+0.0444089
+0.0442306
+0.0435567
+0.0428035
+0.0420778
+0.0414534
+0.0409368
+0.0405322
+0.0402274
+0.0400328
+0.0399576
+0.0397252
+0.0395401
+0.0392526
+0.0388232
+0.0383567
+0.038011
+0.0376982
+0.0375036
+0.0374178
+0.037414
+0.0374792
+0.0376634
+0.0379082
+0.038251
+0.0386422
+0.0390836
+0.039636
+0.0402658
+0.0406804
+0.0408662
+0.0411679
+0.041583
+0.0421081
+0.0427392
+0.0434716
+0.0442811
+0.0451807
+0.0461669
+0.0472341
+0.048377
+0.0495904
+0.0508692
+0.0522087
+0.0536043
+0.0550515
+0.0955249
+0.0941691
+0.0928451
+0.0915544
+0.0902815
+0.0890067
+0.0877681
+0.0865673
+0.0854057
+0.0842851
+0.083207
+0.0819242
+0.0806063
+0.0793269
+0.078088
+0.0768916
+0.0757397
+0.0746343
+0.0735776
+0.0725716
+0.0716161
+0.0707088
+0.0698584
+0.0690671
+0.0683368
+0.0676697
+0.0670674
+0.0665319
+0.0660647
+0.0656666
+0.0653132
+0.0646795
+0.064004
+0.0627734
+0.0612613
+0.0597678
+0.0583184
+0.0569165
+0.0555655
+0.0542623
+0.0530106
+0.0518214
+0.0506989
+0.0496477
+0.0486726
+0.047778
+0.0469686
+0.0461924
+0.0453736
+0.044636
+0.0439826
+0.0434204
+0.0429421
+0.04255
+0.0422665
+0.0420812
+0.0417084
+0.0409349
+0.0402658
+0.0396376
+0.0390496
+0.0385772
+0.0382247
+0.0379954
+0.0378837
+0.0378574
+0.0378295
+0.0373621
+0.0369751
+0.0364851
+0.0361214
+0.0358034
+0.0355984
+0.0355097
+0.0355223
+0.0355954
+0.0357808
+0.036036
+0.0363945
+0.0367961
+0.0372593
+0.0378383
+0.0384942
+0.0389932
+0.039187
+0.0395015
+0.0399339
+0.0404804
+0.0411365
+0.0418969
+0.0427432
+0.0436745
+0.0446938
+0.0457954
+0.0469733
+0.048222
+0.0495362
+0.0509108
+0.0523398
+0.0538077
+0.0945034
+0.0931498
+0.0918111
+0.0905057
+0.0892349
+0.0879804
+0.0867271
+0.0855116
+0.0843355
+0.0830367
+0.0816225
+0.0802431
+0.0788971
+0.0775895
+0.0763225
+0.0750979
+0.0739181
+0.072785
+0.071701
+0.0706683
+0.0696892
+0.0687587
+0.0678839
+0.0670692
+0.066317
+0.0656293
+0.0650081
+0.0644555
+0.0639732
+0.0635627
+0.0632128
+0.0629352
+0.062733
+0.0613096
+0.0597714
+0.0582749
+0.0567887
+0.055348
+0.0539577
+0.0526166
+0.0513309
+0.0501055
+0.0489437
+0.0478541
+0.0468416
+0.0459113
+0.0450685
+0.0442244
+0.0433685
+0.042601
+0.0419231
+0.0413332
+0.0408357
+0.0404279
+0.0401295
+0.0399363
+0.0398031
+0.0389918
+0.0382888
+0.0376643
+0.0370467
+0.0365484
+0.0361761
+0.0359338
+0.0358178
+0.03579
+0.0358961
+0.0355054
+0.0351233
+0.0346508
+0.0342677
+0.0339441
+0.033728
+0.0336343
+0.0336557
+0.0337486
+0.0339353
+0.0341999
+0.0345724
+0.0349896
+0.0354765
+0.0360841
+0.0367677
+0.0373583
+0.0375605
+0.0378885
+0.0383391
+0.038908
+0.0395901
+0.0403797
+0.0412642
+0.0422281
+0.0432816
+0.0444182
+0.0456317
+0.0469161
+0.0482659
+0.0496722
+0.0511226
+0.0526242
+0.0933802
+0.0921582
+0.0908182
+0.0894982
+0.088213
+0.0869627
+0.0857294
+0.0844164
+0.0829101
+0.0814348
+0.0799923
+0.0785844
+0.0772122
+0.0758756
+0.0745794
+0.0733258
+0.072117
+0.0709552
+0.0698428
+0.0687822
+0.0677758
+0.0668234
+0.0659229
+0.0650838
+0.0643083
+0.0635989
+0.0629577
+0.0623869
+0.0618885
+0.0614641
+0.0611048
+0.0608177
+0.0606084
+0.0598902
+0.0583145
+0.0567796
+0.0552889
+0.0538229
+0.0523923
+0.05101
+0.0496827
+0.0484181
+0.0472214
+0.0460947
+0.0450427
+0.0440745
+0.0431958
+0.0422783
+0.0413822
+0.0405823
+0.0398756
+0.0392568
+0.0387387
+0.0383135
+0.0379985
+0.0377967
+0.0377081
+0.0370763
+0.0363363
+0.0357096
+0.0350662
+0.0345394
+0.0341452
+0.0338884
+0.0337676
+0.0337381
+0.0338507
+0.0336745
+0.0332867
+0.0328602
+0.032448
+0.0321176
+0.0318982
+0.0317992
+0.0318302
+0.0319304
+0.0321331
+0.0324024
+0.0327899
+0.0332295
+0.0337417
+0.03438
+0.0350756
+0.0357141
+0.0359939
+0.0363361
+0.0368057
+0.0373979
+0.0381071
+0.0389267
+0.0398501
+0.0408482
+0.0419363
+0.0431083
+0.0443577
+0.045678
+0.0470571
+0.0484868
+0.0499716
+0.0515068
+0.0922585
+0.0910587
+0.0898574
+0.0885006
+0.0870472
+0.085625
+0.0842358
+0.0828812
+0.0813646
+0.0798608
+0.0783893
+0.0769521
+0.0755511
+0.0741868
+0.0728606
+0.0715769
+0.070338
+0.0691463
+0.0680043
+0.0669146
+0.0658797
+0.0649023
+0.0639769
+0.0631119
+0.0623119
+0.0615795
+0.0609171
+0.060327
+0.0598114
+0.0593721
+0.0590029
+0.0587055
+0.0584886
+0.0583533
+0.0569047
+0.0553307
+0.0537999
+0.0523161
+0.050873
+0.0494482
+0.0480778
+0.0467699
+0.0455299
+0.0443634
+0.0432765
+0.0422714
+0.0413544
+0.0403573
+0.0394175
+0.0385794
+0.0378383
+0.0371937
+0.0366526
+0.0362082
+0.0358747
+0.0356633
+0.0355694
+0.0351929
+0.0344124
+0.0337562
+0.0331123
+0.0325538
+0.0321353
+0.0318623
+0.0317362
+0.0317048
+0.0318246
+0.0318871
+0.0314852
+0.0311088
+0.0306682
+0.0303337
+0.0301168
+0.0300118
+0.0300536
+0.0301573
+0.0303774
+0.0306503
+0.0310596
+0.0315233
+0.0320628
+0.0327339
+0.033436
+0.0340839
+0.0344953
+0.0348522
+0.0353415
+0.0359579
+0.0366949
+0.0375454
+0.0385003
+0.0395339
+0.0406572
+0.0418651
+0.0431505
+0.0445041
+0.0459087
+0.047373
+0.0488917
+0.0504597
+0.0911517
+0.0899551
+0.0884498
+0.0869415
+0.0854629
+0.084014
+0.0825976
+0.0812157
+0.0798493
+0.0783164
+0.0768154
+0.0753482
+0.0739168
+0.0725233
+0.0711677
+0.0698529
+0.0685828
+0.0673601
+0.0661873
+0.0650672
+0.0640024
+0.0629959
+0.0620472
+0.0611549
+0.060329
+0.0595722
+0.0588872
+0.0582766
+0.0577426
+0.0572875
+0.0569077
+0.0565992
+0.0563743
+0.0562339
+0.0555455
+0.0539319
+0.0523602
+0.0508344
+0.0493585
+0.0479357
+0.0465208
+0.0451678
+0.0438826
+0.0426711
+0.0415399
+0.0404957
+0.0395449
+0.0384651
+0.0374779
+0.0365954
+0.0358191
+0.0351459
+0.0345786
+0.0341137
+0.0337595
+0.0335373
+0.0334374
+0.0333448
+0.0325199
+0.0318248
+0.0311877
+0.0305963
+0.0301506
+0.0298594
+0.0297272
+0.0296939
+0.0298218
+0.0300979
+0.0297322
+0.0294113
+0.0289449
+0.0286064
+0.0283822
+0.0282813
+0.0283291
+0.0284424
+0.0286689
+0.0289579
+0.0293908
+0.0298804
+0.0304491
+0.0311457
+0.0318628
+0.0325197
+0.0330741
+0.0334461
+0.0339557
+0.0345968
+0.0353621
+0.0362439
+0.0372172
+0.0382853
+0.0394442
+0.0406881
+0.0420095
+0.0433987
+0.044838
+0.0463361
+0.0478877
+0.0494876
+0.0900847
+0.0885074
+0.086945
+0.0854102
+0.0839045
+0.0824296
+0.0809856
+0.0795756
+0.0782017
+0.0768013
+0.0752701
+0.0737721
+0.0723095
+0.0708845
+0.0694992
+0.0681557
+0.0668534
+0.0655984
+0.0643936
+0.0632416
+0.0621456
+0.0611085
+0.0601334
+0.0592143
+0.0583609
+0.0575782
+0.0568692
+0.0562367
+0.0556832
+0.0552112
+0.0548199
+0.0544997
+0.054266
+0.0541201
+0.0540627
+0.0525871
+0.050974
+0.0494054
+0.0478852
+0.0464187
+0.045004
+0.043617
+0.0422846
+0.0410259
+0.0398481
+0.0387584
+0.0377374
+0.0366062
+0.0355675
+0.0346364
+0.0338212
+0.0331153
+0.0325144
+0.0320296
+0.0316545
+0.0314202
+0.0313135
+0.0313599
+0.0306639
+0.0299256
+0.0292835
+0.0286725
+0.0281964
+0.0278848
+0.0277432
+0.0277103
+0.0278473
+0.0281378
+0.0280189
+0.0277061
+0.0272887
+0.0269465
+0.0267084
+0.0266186
+0.0266694
+0.026797
+0.0270301
+0.0273364
+0.0277887
+0.0283118
+0.0289113
+0.0296149
+0.0303582
+0.0310313
+0.0317405
+0.032128
+0.0326581
+0.0333242
+0.0341181
+0.0350188
+0.0360215
+0.0371241
+0.0383181
+0.0395974
+0.040954
+0.0423778
+0.0438506
+0.0453814
+0.0469645
+0.0485948
+0.0886607
+0.0870529
+0.0854699
+0.0839081
+0.082375
+0.0808722
+0.0794006
+0.077962
+0.0765591
+0.0751938
+0.0737565
+0.0722272
+0.0707326
+0.0692751
+0.0678571
+0.0664809
+0.0651494
+0.0638633
+0.0626251
+0.06144
+0.0603113
+0.0592421
+0.0582357
+0.0572917
+0.0564093
+0.0555991
+0.0548646
+0.0542086
+0.0536342
+0.053144
+0.0527399
+0.0524075
+0.0521645
+0.0520128
+0.051953
+0.0512966
+0.0496411
+0.0480286
+0.0464634
+0.0449504
+0.0434937
+0.0420922
+0.0407417
+0.0394339
+0.038207
+0.0370691
+0.0359614
+0.0347769
+0.0336912
+0.0327067
+0.0318423
+0.0310933
+0.0304671
+0.029957
+0.029562
+0.0293139
+0.0291995
+0.0292493
+0.0288548
+0.028069
+0.0274169
+0.0267721
+0.0262795
+0.0259449
+0.0257927
+0.0257603
+0.0259075
+0.0262143
+0.0263746
+0.026043
+0.0257125
+0.0253673
+0.0251142
+0.0250229
+0.025077
+0.0252296
+0.0254643
+0.0257891
+0.0262649
+0.0268304
+0.0274472
+0.0281714
+0.0289348
+0.0296303
+0.0303942
+0.030909
+0.0314597
+0.0321506
+0.0329653
+0.0338873
+0.0349225
+0.0360587
+0.0372868
+0.0386003
+0.0399908
+0.0414477
+0.0429524
+0.0445141
+0.0461269
+0.0477858
+0.0872589
+0.0856249
+0.0840161
+0.0824343
+0.0808759
+0.0793447
+0.0778442
+0.0763763
+0.0749437
+0.0735485
+0.0721927
+0.0707163
+0.0691892
+0.0676984
+0.0662466
+0.0648363
+0.0634703
+0.0621515
+0.060883
+0.0596644
+0.0585014
+0.0573985
+0.0563592
+0.0553871
+0.0544758
+0.0536365
+0.0528746
+0.0521937
+0.0515969
+0.0510871
+0.050667
+0.0503238
+0.0500707
+0.0499125
+0.0498503
+0.0498842
+0.0483669
+0.0467104
+0.0450994
+0.0435391
+0.0420351
+0.0405917
+0.0392089
+0.0379017
+0.0366235
+0.0354347
+0.0342335
+0.032987
+0.0318425
+0.0308115
+0.0298924
+0.0290927
+0.0284384
+0.0279023
+0.0274848
+0.02722
+0.0270968
+0.0271504
+0.0271021
+0.0262639
+0.0255799
+0.02491
+0.0243961
+0.0240382
+0.0238738
+0.023852
+0.024011
+0.0243361
+0.0247851
+0.0244521
+0.0242321
+0.0238658
+0.0236159
+0.0235224
+0.0235802
+0.0237581
+0.0239914
+0.024336
+0.024841
+0.0254335
+0.0260656
+0.0268293
+0.0276121
+0.0283296
+0.02911
+0.0297847
+0.0303558
+0.0310713
+0.0319115
+0.032863
+0.0339295
+0.0350979
+0.0363585
+0.0377043
+0.0391266
+0.0406146
+0.042149
+0.0437394
+0.0453798
+0.047065
+0.0858902
+0.0842296
+0.0825937
+0.080984
+0.0794022
+0.0778488
+0.076319
+0.0748212
+0.0733582
+0.0719322
+0.0705454
+0.0692002
+0.0676814
+0.0661567
+0.0646703
+0.0632248
+0.0618232
+0.0604685
+0.059164
+0.0579129
+0.0567184
+0.0555802
+0.0545062
+0.0535004
+0.0525622
+0.051692
+0.0509012
+0.0501935
+0.0495726
+0.0490418
+0.048604
+0.0482496
+0.0479855
+0.0478205
+0.0477554
+0.0477909
+0.04716
+0.0454595
+0.0438026
+0.0421944
+0.0406407
+0.0391479
+0.0377209
+0.0363609
+0.0350851
+0.0338632
+0.0325495
+0.0312481
+0.0300375
+0.0289423
+0.0279761
+0.0271215
+0.0264184
+0.025869
+0.0254266
+0.0251401
+0.0250067
+0.0250648
+0.0252932
+0.0245217
+0.0237877
+0.0231055
+0.0225506
+0.0221716
+0.0219933
+0.0219965
+0.0221685
+0.0225143
+0.0230472
+0.0229377
+0.0227662
+0.0224774
+0.0222184
+0.0221372
+0.0221989
+0.0224045
+0.0226351
+0.023
+0.0235351
+0.0241396
+0.0248008
+0.0255902
+0.0263883
+0.0271365
+0.0279388
+0.0287812
+0.0293718
+0.0301106
+0.0309769
+0.0319563
+0.0330521
+0.0342504
+0.0355411
+0.0369167
+0.0383682
+0.0398845
+0.0414459
+0.0430623
+0.0447275
+0.0464364
+0.0845561
+0.0828688
+0.0812054
+0.0795677
+0.0779571
+0.0763754
+0.0748244
+0.0732985
+0.0718045
+0.070347
+0.0689283
+0.0675509
+0.0662118
+0.0646525
+0.0631306
+0.0616491
+0.0602108
+0.058819
+0.057477
+0.0561884
+0.0549569
+0.0537864
+0.0526791
+0.0516377
+0.050666
+0.0497632
+0.0489418
+0.0482061
+0.04756
+0.0470072
+0.0465509
+0.0461861
+0.0459101
+0.0457376
+0.0456696
+0.0457066
+0.0458484
+0.044224
+0.0425569
+0.0409228
+0.0393189
+0.0377739
+0.0362955
+0.0348891
+0.0335573
+0.0323194
+0.0309267
+0.0295613
+0.028287
+0.0271212
+0.0260876
+0.0251866
+0.0244278
+0.0238469
+0.0233926
+0.0230809
+0.0229354
+0.0229987
+0.0232475
+0.0228568
+0.0220675
+0.0213734
+0.0207722
+0.0203698
+0.0201755
+0.0201824
+0.020391
+0.020764
+0.0213269
+0.0215399
+0.0213573
+0.0211979
+0.0209503
+0.0208694
+0.0209488
+0.0211913
+0.0214016
+0.0217871
+0.0223453
+0.0229779
+0.0236715
+0.0244754
+0.0252931
+0.0260728
+0.0268944
+0.0278086
+0.0285225
+0.0292827
+0.0301728
+0.0311774
+0.0322996
+0.0335248
+0.0348424
+0.0362446
+0.037722
+0.0392632
+0.0408484
+0.0424875
+0.0441744
+0.0459039
+0.0832582
+0.0815441
+0.0798532
+0.0781871
+0.0765475
+0.074936
+0.0733546
+0.0718051
+0.0702848
+0.0687951
+0.0673437
+0.0659332
+0.0645662
+0.0631884
+0.0616304
+0.0601119
+0.0586359
+0.0572058
+0.055825
+0.0544974
+0.0532268
+0.0520157
+0.0508681
+0.0497906
+0.0487876
+0.0478554
+0.0470007
+0.0462341
+0.04556
+0.0449826
+0.0445057
+0.0441325
+0.043846
+0.0436653
+0.0435941
+0.0436329
+0.0437814
+0.0430257
+0.0413103
+0.0396418
+0.0380262
+0.0364708
+0.0349467
+0.0334867
+0.0321064
+0.0308102
+0.0293776
+0.0279366
+0.0265982
+0.0253587
+0.0242501
+0.0232952
+0.0224746
+0.0218417
+0.0213754
+0.0210458
+0.0208886
+0.020958
+0.0212307
+0.0212874
+0.0204376
+0.0197326
+0.0190798
+0.0186513
+0.018439
+0.0184478
+0.0186987
+0.0191047
+0.0197003
+0.0202776
+0.0200882
+0.0200587
+0.0198344
+0.0197582
+0.019842
+0.0201091
+0.0203196
+0.0207252
+0.0213112
+0.0219737
+0.022698
+0.0234947
+0.0243463
+0.0251358
+0.0259702
+0.0269158
+0.0278201
+0.028599
+0.0295097
+0.0305361
+0.0316811
+0.0329293
+0.0342698
+0.0356945
+0.0371937
+0.0387559
+0.0403611
+0.0420192
+0.0437242
+0.0454708
+0.0819984
+0.0802573
+0.0785387
+0.0768441
+0.0751752
+0.0735337
+0.0719214
+0.0703404
+0.0687929
+0.0672787
+0.0657939
+0.0643494
+0.062948
+0.0615927
+0.0601725
+0.0586163
+0.0571017
+0.0556321
+0.0542113
+0.05284
+0.0515248
+0.0502707
+0.0490823
+0.0479646
+0.0469226
+0.0459615
+0.0450824
+0.0442826
+0.0435784
+0.0429744
+0.0424749
+0.0420837
+0.0417947
+0.0416051
+0.0415304
+0.0415711
+0.041727
+0.0419078
+0.0401446
+0.0384254
+0.0367565
+0.0351449
+0.0335989
+0.0321279
+0.0307336
+0.029387
+0.0279091
+0.0263939
+0.0249729
+0.0236677
+0.0224759
+0.0214422
+0.0205692
+0.0198757
+0.0193838
+0.0190288
+0.018874
+0.0189508
+0.019252
+0.0197718
+0.0189212
+0.0181878
+0.0174983
+0.0170416
+0.0168089
+0.01682
+0.017099
+0.0175464
+0.0181925
+0.0190304
+0.018981
+0.0190033
+0.018868
+0.0188272
+0.0189251
+0.0191854
+0.0194252
+0.0198421
+0.020439
+0.0211362
+0.0218767
+0.0226823
+0.0235273
+0.0243422
+0.0252029
+0.0261763
+0.0272214
+0.02807
+0.0289973
+0.0300413
+0.0312044
+0.0324709
+0.0338296
+0.035272
+0.0367885
+0.0383672
+0.039988
+0.0416609
+0.04338
+0.04514
+0.0807783
+0.0790103
+0.077264
+0.0755409
+0.0738425
+0.0721707
+0.0705272
+0.0689143
+0.067334
+0.0657886
+0.064279
+0.0627997
+0.0613629
+0.0599718
+0.0586295
+0.0571655
+0.0556107
+0.0540971
+0.0526311
+0.0512169
+0.0498589
+0.0485617
+0.0473305
+0.0461704
+0.0450869
+0.0440858
+0.0431727
+0.042352
+0.0416142
+0.0409804
+0.0404555
+0.0400437
+0.0397485
+0.039559
+0.0394804
+0.0395232
+0.0396871
+0.0399706
+0.039067
+0.0372983
+0.0355765
+0.0339088
+0.0323037
+0.0307709
+0.0293218
+0.0279063
+0.0264898
+0.0249416
+0.0234399
+0.0220462
+0.0207813
+0.0196587
+0.018726
+0.0179618
+0.0174306
+0.0170548
+0.0169033
+0.016989
+0.0173243
+0.0178977
+0.0175389
+0.0167544
+0.0160606
+0.0155628
+0.0153192
+0.0153331
+0.0156329
+0.0161322
+0.0168245
+0.0177181
+0.0180726
+0.0180963
+0.0181129
+0.0180737
+0.0182263
+0.0184465
+0.0187129
+0.0191288
+0.0197467
+0.0204678
+0.0212339
+0.0220191
+0.0228883
+0.0237251
+0.0246074
+0.0256034
+0.026671
+0.0277046
+0.0286437
+0.0297002
+0.0308761
+0.0321556
+0.033527
+0.034982
+0.0365105
+0.0381007
+0.0397324
+0.0414156
+0.0431445
+0.0449137
+0.0795998
+0.0778051
+0.0760311
+0.0742793
+0.0725514
+0.0708492
+0.0691743
+0.0675291
+0.0659156
+0.0643362
+0.0627935
+0.0612884
+0.0598153
+0.0583874
+0.0570078
+0.0556803
+0.0541595
+0.0526041
+0.0510953
+0.0496374
+0.0482349
+0.0468928
+0.0456166
+0.0444117
+0.0432843
+0.0422405
+0.0412866
+0.040429
+0.0396699
+0.0390045
+0.0384526
+0.0380191
+0.0377081
+0.0375226
+0.0374463
+0.0374915
+0.0376642
+0.0379628
+0.0380718
+0.0362671
+0.0344953
+0.0327727
+0.0311091
+0.0295143
+0.0280002
+0.0265111
+0.0250829
+0.0235683
+0.0220102
+0.0205284
+0.0191734
+0.0179656
+0.0169399
+0.0161186
+0.0155353
+0.0151405
+0.0149801
+0.0150904
+0.0154668
+0.0160853
+0.0163113
+0.0154991
+0.0148085
+0.0142671
+0.0140125
+0.0140318
+0.0143443
+0.0148869
+0.0156344
+0.0165922
+0.0173498
+0.0174112
+0.017575
+0.0175475
+0.0177198
+0.0179234
+0.0182199
+0.0186468
+0.0192798
+0.0200181
+0.0208029
+0.0215587
+0.0224458
+0.0232984
+0.0241838
+0.0252085
+0.0262922
+0.0273874
+0.0284383
+0.0295181
+0.030701
+0.0319875
+0.0333658
+0.0348275
+0.0363625
+0.0379531
+0.0395891
+0.0412765
+0.0430093
+0.0447822
+0.0784648
+0.0766435
+0.074842
+0.0730617
+0.0713043
+0.0695715
+0.0678652
+0.0661874
+0.0645403
+0.0629265
+0.0613484
+0.0598089
+0.058309
+0.0568432
+0.0554253
+0.0540589
+0.0527481
+0.0511614
+0.0496088
+0.0481058
+0.0466573
+0.0452685
+0.0439451
+0.0426931
+0.041519
+0.0404296
+0.039432
+0.0385331
+0.0377402
+0.0370528
+0.0364713
+0.036014
+0.0356855
+0.0354894
+0.035428
+0.0354786
+0.0356611
+0.0359763
+0.0360122
+0.0353179
+0.0335018
+0.0317329
+0.0300198
+0.0283714
+0.0267928
+0.0252138
+0.0236906
+0.0221876
+0.0206907
+0.0191313
+0.0176804
+0.0163829
+0.0152596
+0.0143732
+0.0137164
+0.0133104
+0.0131289
+0.0132584
+0.0137081
+0.0143786
+0.0153003
+0.0144418
+0.0137927
+0.0132098
+0.0129352
+0.0129644
+0.0132939
+0.0138776
+0.0146767
+0.015693
+0.0168741
+0.0169444
+0.0171631
+0.0172752
+0.0174305
+0.0176228
+0.0179317
+0.0184145
+0.0190232
+0.0198019
+0.0205564
+0.0213145
+0.0221939
+0.0230495
+0.0239467
+0.0249775
+0.026091
+0.0271957
+0.0283573
+0.029476
+0.030671
+0.0319577
+0.0333373
+0.0348002
+0.0363336
+0.037913
+0.0395506
+0.0412396
+0.0429739
+0.0447483
+0.0773752
+0.0755276
+0.0736988
+0.0718903
+0.0701035
+0.0683403
+0.0666024
+0.064892
+0.0632112
+0.0615624
+0.0599484
+0.058372
+0.0568364
+0.0553427
+0.0538853
+0.0524788
+0.0511276
+0.0497733
+0.048176
+0.0466268
+0.0451309
+0.0436936
+0.042321
+0.0410194
+0.039796
+0.0386581
+0.0376135
+0.0366701
+0.035836
+0.0351189
+0.0345153
+0.0340317
+0.0336838
+0.033476
+0.0334109
+0.0334868
+0.03368
+0.0340136
+0.0339596
+0.0338091
+0.0326183
+0.0307987
+0.0290305
+0.0273235
+0.02569
+0.0240463
+0.0224232
+0.0208294
+0.0193274
+0.0178853
+0.0163328
+0.0149324
+0.0137115
+0.0127202
+0.0120162
+0.0115792
+0.0113989
+0.0115449
+0.0120684
+0.0128198
+0.0138497
+0.0136458
+0.0130317
+0.0124517
+0.0121609
+0.012192
+0.0125418
+0.0131589
+0.013999
+0.0150382
+0.0162703
+0.0166933
+0.0168054
+0.0167157
+0.0168238
+0.0171857
+0.0178116
+0.0183679
+0.0190008
+0.019778
+0.0205125
+0.0212805
+0.0221325
+0.0229904
+0.0238993
+0.0249229
+0.0260387
+0.0271722
+0.028351
+0.0295607
+0.0307777
+0.0320601
+0.0334355
+0.0348943
+0.0364238
+0.0379994
+0.0396334
+0.041319
+0.0430502
+0.0448215
+0.0763269
+0.0744572
+0.0726038
+0.0707672
+0.0689514
+0.0671579
+0.0653886
+0.0636456
+0.061931
+0.0602472
+0.058597
+0.0569832
+0.0554091
+0.053878
+0.0523917
+0.050944
+0.049551
+0.0482172
+0.0468019
+0.0452057
+0.0436611
+0.0421738
+0.0407499
+0.0393965
+0.0381211
+0.0369316
+0.0358367
+0.0348453
+0.0339664
+0.0332089
+0.0325791
+0.0320663
+0.0316969
+0.031476
+0.0314068
+0.0314901
+0.0317015
+0.0320556
+0.0319254
+0.0317652
+0.0317557
+0.029995
+0.0281764
+0.0264143
+0.0247208
+0.0230106
+0.0212671
+0.0196114
+0.0180227
+0.0165516
+0.0151644
+0.0136642
+0.0123361
+0.011224
+0.0104306
+0.0100002
+0.00985111
+0.0100191
+0.0105825
+0.0114515
+0.0125628
+0.0131608
+0.0125375
+0.0120128
+0.0117496
+0.0117818
+0.0121434
+0.0127798
+0.0136191
+0.0146443
+0.0157006
+0.0158199
+0.0158616
+0.0157258
+0.0158407
+0.0162245
+0.0168861
+0.0177667
+0.0188387
+0.0199532
+0.0206795
+0.0214415
+0.0222873
+0.0231395
+0.0240402
+0.0250604
+0.0261703
+0.0272986
+0.0284939
+0.0297177
+0.031028
+0.0323111
+0.0336762
+0.035125
+0.0366449
+0.0382114
+0.0398367
+0.0415141
+0.0432374
+0.0450013
+0.0753215
+0.0734262
+0.0715478
+0.0696876
+0.0678472
+0.0660271
+0.0642266
+0.0624512
+0.0607028
+0.058984
+0.0572975
+0.055646
+0.0540329
+0.0524617
+0.0509363
+0.0494586
+0.0480225
+0.0466451
+0.0453317
+0.043848
+0.0422538
+0.0407151
+0.0392384
+0.0378309
+0.0365008
+0.0352567
+0.0341081
+0.0330648
+0.0321373
+0.0313357
+0.0306699
+0.0301295
+0.0297361
+0.0295005
+0.0294266
+0.0295155
+0.0297526
+0.0301297
+0.0299034
+0.0297414
+0.0297313
+0.0293113
+0.0274581
+0.0256467
+0.0238989
+0.022085
+0.0202748
+0.0185367
+0.0168719
+0.0153222
+0.0138932
+0.0126144
+0.0111886
+0.00997575
+0.00908685
+0.00860702
+0.00852579
+0.00875208
+0.00937668
+0.0103329
+0.0115514
+0.0124899
+0.0123791
+0.0119254
+0.0116758
+0.0117717
+0.0121337
+0.0127436
+0.013542
+0.0145727
+0.0151163
+0.0152141
+0.015152
+0.0149928
+0.0151133
+0.0155151
+0.0161753
+0.0170671
+0.0181805
+0.0194542
+0.0208704
+0.0218223
+0.0226539
+0.0234928
+0.0243779
+0.0253869
+0.0264831
+0.0275989
+0.0287817
+0.0300244
+0.0313317
+0.0326821
+0.0340349
+0.035469
+0.0369774
+0.0385464
+0.0401587
+0.0418231
+0.0435342
+0.0452866
+0.0743671
+0.0724468
+0.0705423
+0.0686549
+0.066786
+0.0649372
+0.0631088
+0.0613041
+0.0595254
+0.0577749
+0.0560534
+0.0543642
+0.0527119
+0.0511001
+0.0495328
+0.0480142
+0.0465438
+0.0451212
+0.0437621
+0.0424726
+0.0409154
+0.0393244
+0.0377934
+0.03633
+0.0349428
+0.0336411
+0.0324353
+0.0313365
+0.0303562
+0.0295062
+0.0287982
+0.0282266
+0.0278062
+0.0275541
+0.027475
+0.0275702
+0.027838
+0.0282201
+0.0279004
+0.0277405
+0.0277295
+0.0278912
+0.026775
+0.0249258
+0.0231144
+0.0212367
+0.0194072
+0.0176475
+0.0159156
+0.01427
+0.0127828
+0.0114453
+0.0103295
+0.00906156
+0.00809372
+0.00758397
+0.00752548
+0.00786041
+0.00851944
+0.00956385
+0.0107505
+0.0112397
+0.0117936
+0.012236
+0.0119929
+0.0121171
+0.0125015
+0.0130348
+0.0137815
+0.0145301
+0.0147642
+0.0149086
+0.0147144
+0.0145403
+0.0146341
+0.0150487
+0.0157121
+0.0166287
+0.0177696
+0.0190708
+0.0205135
+0.0220797
+0.0232007
+0.0240373
+0.0248993
+0.0258853
+0.026951
+0.0280552
+0.0292313
+0.0304793
+0.0317672
+0.0331272
+0.034514
+0.0359381
+0.0374275
+0.0389784
+0.0405786
+0.0422318
+0.043932
+0.045674
+0.0734656
+0.0715211
+0.0695913
+0.0676774
+0.0657807
+0.0639028
+0.0620439
+0.0602073
+0.0583952
+0.0566098
+0.0548538
+0.0531301
+0.051442
+0.049793
+0.0481872
+0.0466257
+0.0451149
+0.0436466
+0.0422401
+0.0409026
+0.0396297
+0.0379976
+0.0364188
+0.0349016
+0.0334558
+0.0320938
+0.0308276
+0.0296692
+0.0286319
+0.0277291
+0.0269745
+0.0263634
+0.0259128
+0.0256421
+0.025557
+0.0256594
+0.0259469
+0.0262716
+0.0259278
+0.0257664
+0.0257586
+0.0259326
+0.026232
+0.0243532
+0.0224375
+0.0205345
+0.0186551
+0.0168503
+0.0151361
+0.0134571
+0.0118999
+0.0105343
+0.00938967
+0.00856377
+0.00754284
+0.00700583
+0.00700742
+0.00734162
+0.00803585
+0.0089288
+0.00956945
+0.0101289
+0.0107331
+0.0115688
+0.0124712
+0.0125791
+0.0127859
+0.0132322
+0.0137284
+0.0144652
+0.0147042
+0.0148375
+0.0145376
+0.0143613
+0.0144563
+0.0148759
+0.0155466
+0.0164725
+0.0176235
+0.0189244
+0.0203745
+0.0219463
+0.0236098
+0.0247307
+0.0255693
+0.0265304
+0.027572
+0.0286665
+0.0298353
+0.031059
+0.0323237
+0.0336776
+0.0350954
+0.036517
+0.0379983
+0.0395274
+0.0411061
+0.0427389
+0.0444198
+0.0461434
+0.072619
+0.0706512
+0.068697
+0.0667574
+0.0648338
+0.0629277
+0.0610391
+0.0591714
+0.0573265
+0.0555068
+0.0537147
+0.0519533
+0.0502256
+0.0485353
+0.0468864
+0.0452836
+0.0437317
+0.0422342
+0.0407791
+0.039392
+0.0380805
+0.0367403
+0.0351068
+0.0335358
+0.0320338
+0.0306151
+0.0292915
+0.0280737
+0.0269754
+0.0260152
+0.0252093
+0.0245526
+0.0240681
+0.0237765
+0.0236847
+0.0237951
+0.0241007
+0.0243606
+0.0239931
+0.0238185
+0.0238261
+0.024014
+0.024398
+0.0238725
+0.02193
+0.019991
+0.018102
+0.0162549
+0.0144824
+0.0128397
+0.0113138
+0.00989086
+0.00875224
+0.0079621
+0.00747297
+0.00700821
+0.00686719
+0.00703704
+0.00751374
+0.00827861
+0.00869674
+0.00940447
+0.0100383
+0.0109321
+0.0119054
+0.0126073
+0.012886
+0.0133289
+0.0139649
+0.0146614
+0.0149149
+0.0149859
+0.0146891
+0.0145146
+0.0146086
+0.0150219
+0.015675
+0.0165937
+0.0177005
+0.0189921
+0.0204375
+0.0220047
+0.0236642
+0.0254042
+0.0264046
+0.0273363
+0.0283483
+0.0294237
+0.0305681
+0.0317701
+0.0330166
+0.0343466
+0.0357378
+0.0371911
+0.0386563
+0.0401702
+0.0417386
+0.043351
+0.045009
+0.0467108
+0.0718293
+0.0698393
+0.0678616
+0.0658975
+0.0639481
+0.0620147
+0.0600974
+0.0581995
+0.0563228
+0.0544695
+0.0526422
+0.0508435
+0.0490768
+0.0473455
+0.0456537
+0.044006
+0.0424074
+0.0408636
+0.039373
+0.0379477
+0.0365845
+0.0353047
+0.0338839
+0.0322545
+0.0306947
+0.029211
+0.0278208
+0.0265389
+0.0253816
+0.0243666
+0.0235122
+0.0227969
+0.0222744
+0.0219589
+0.0218595
+0.021979
+0.0223012
+0.0224801
+0.0221062
+0.0219166
+0.0219397
+0.0221437
+0.0225596
+0.0231535
+0.0214449
+0.0195722
+0.0176875
+0.0158274
+0.0140629
+0.0123946
+0.0108773
+0.00958101
+0.00850542
+0.00779158
+0.00753297
+0.00733007
+0.00693026
+0.00698548
+0.00751449
+0.0078796
+0.00832081
+0.00907126
+0.00978712
+0.0106354
+0.0116336
+0.0127504
+0.0132651
+0.0135301
+0.0140683
+0.0146424
+0.0149051
+0.0150876
+0.015114
+0.01493
+0.0150204
+0.0154216
+0.0160584
+0.0169564
+0.0180409
+0.0193098
+0.020733
+0.0222795
+0.0239198
+0.0256425
+0.02739
+0.0282893
+0.0292683
+0.0303111
+0.0314232
+0.0326054
+0.0338373
+0.0351362
+0.0364974
+0.0379363
+0.0394156
+0.0409155
+0.0424564
+0.0440525
+0.0456957
+0.0473729
+0.0710983
+0.0690872
+0.0670874
+0.0650999
+0.0631259
+0.0611665
+0.0592218
+0.0572949
+0.0553875
+0.0535019
+0.0516403
+0.0498055
+0.0480006
+0.046229
+0.0444948
+0.0428025
+0.0411571
+0.0395646
+0.0380231
+0.0365479
+0.0351474
+0.0338278
+0.032587
+0.0310738
+0.0294518
+0.0279076
+0.0264499
+0.025098
+0.0238709
+0.0227888
+0.0218733
+0.0211227
+0.0205576
+0.0202154
+0.0201073
+0.0202373
+0.0205776
+0.0206609
+0.0202677
+0.0200737
+0.0200967
+0.0203192
+0.0207716
+0.021435
+0.0210397
+0.0191713
+0.0172783
+0.0154569
+0.0137332
+0.0120736
+0.010545
+0.0092562
+0.00827652
+0.0076978
+0.00737816
+0.00725329
+0.00722911
+0.00741958
+0.00765274
+0.00796693
+0.00849083
+0.00924601
+0.00995086
+0.0107849
+0.0117608
+0.012729
+0.0135231
+0.0137832
+0.0143401
+0.0149227
+0.0150738
+0.0152543
+0.0151066
+0.015001
+0.0151698
+0.0156297
+0.0163483
+0.0172973
+0.0184569
+0.0197837
+0.0212199
+0.0227627
+0.0243705
+0.0260635
+0.027826
+0.029375
+0.030319
+0.0313268
+0.0324041
+0.0335517
+0.0347612
+0.0360419
+0.0373701
+0.0387767
+0.0402534
+0.0417516
+0.0432734
+0.0448403
+0.0464578
+0.0481206
+0.0704279
+0.0683971
+0.0663766
+0.0643671
+0.0623699
+0.060386
+0.0584153
+0.0564608
+0.0545243
+0.0526077
+0.0507133
+0.0488438
+0.0470019
+0.0451912
+0.0434156
+0.0416794
+0.0399879
+0.0383469
+0.0367543
+0.035226
+0.0337708
+0.0323984
+0.0311198
+0.0299337
+0.0283238
+0.0267145
+0.0251917
+0.0237683
+0.0224687
+0.0213156
+0.0203338
+0.0195319
+0.0189194
+0.0185469
+0.0184291
+0.0185707
+0.0189321
+0.0189141
+0.0184838
+0.0182941
+0.0183283
+0.018574
+0.0190679
+0.0197933
+0.0206531
+0.0189409
+0.0170575
+0.0152254
+0.0134847
+0.0118657
+0.0104217
+0.00915743
+0.00819375
+0.00760301
+0.00722396
+0.00719196
+0.00737673
+0.00777321
+0.00819377
+0.00862632
+0.00911239
+0.00986777
+0.0105744
+0.0113628
+0.0122171
+0.0129611
+0.0138048
+0.0143601
+0.0148961
+0.0154198
+0.0154621
+0.0156344
+0.015344
+0.0152401
+0.0154063
+0.0158329
+0.0165339
+0.0174632
+0.0186029
+0.019919
+0.0213461
+0.0228855
+0.0245242
+0.0262436
+0.0280288
+0.029868
+0.0314873
+0.0324588
+0.0334998
+0.0346111
+0.0357847
+0.0370419
+0.0383483
+0.0397202
+0.0411631
+0.0426696
+0.0441749
+0.0457197
+0.047307
+0.048941
+0.0698199
+0.0677709
+0.065731
+0.0637012
+0.0616824
+0.0596757
+0.0576807
+0.0557005
+0.0537366
+0.0517909
+0.0498655
+0.0479628
+0.0460858
+0.0442376
+0.0424221
+0.0406435
+0.038907
+0.0372183
+0.0355753
+0.033994
+0.0324836
+0.0310544
+0.0297181
+0.0284877
+0.0273251
+0.0256533
+0.0240634
+0.022569
+0.021196
+0.0199695
+0.018918
+0.0180533
+0.0173887
+0.0169827
+0.016854
+0.0170088
+0.0174026
+0.0172646
+0.0167921
+0.0165944
+0.0166325
+0.0169327
+0.0174731
+0.0182619
+0.0191853
+0.0189432
+0.0170587
+0.0152293
+0.0135044
+0.0118773
+0.0104373
+0.00920506
+0.00832794
+0.00778738
+0.00758151
+0.00768139
+0.00798244
+0.00841305
+0.00886208
+0.00916414
+0.00981278
+0.0104034
+0.0112613
+0.0121025
+0.0129483
+0.0135263
+0.0141935
+0.0149428
+0.0153488
+0.0156031
+0.0158262
+0.01617
+0.0158829
+0.0157245
+0.0158691
+0.0162989
+0.0169806
+0.0178867
+0.019001
+0.0202864
+0.0216926
+0.0232103
+0.0248276
+0.0265273
+0.0282946
+0.0301175
+0.0319867
+0.0336879
+0.0346927
+0.0357732
+0.03691
+0.0381301
+0.0394129
+0.0407597
+0.042167
+0.043639
+0.045153
+0.0466768
+0.0482409
+0.0498443
+0.0692758
+0.0672102
+0.0651528
+0.0631044
+0.0610659
+0.0590382
+0.0570209
+0.0550169
+0.0530277
+0.051055
+0.0491007
+0.0471673
+0.0452573
+0.0433738
+0.0415205
+0.0397015
+0.0379219
+0.0361873
+0.0344952
+0.032862
+0.031297
+0.029811
+0.0284162
+0.0271269
+0.0259578
+0.0247225
+0.0230635
+0.0214999
+0.0200541
+0.0187533
+0.0176296
+0.0167188
+0.0160041
+0.015562
+0.0154214
+0.0155904
+0.0160112
+0.0157477
+0.0152282
+0.0150135
+0.0150648
+0.0154207
+0.0160197
+0.0168719
+0.0178532
+0.0190371
+0.0172913
+0.0155019
+0.0137958
+0.0122161
+0.0108118
+0.00965847
+0.00882653
+0.00838806
+0.00829216
+0.0085109
+0.00858142
+0.00853332
+0.00893513
+0.00951484
+0.0102407
+0.0108225
+0.0115694
+0.0123897
+0.0133233
+0.0139978
+0.0146868
+0.0151522
+0.0156676
+0.0160509
+0.0162678
+0.0167706
+0.0165915
+0.0164614
+0.0165995
+0.0170208
+0.0176605
+0.018531
+0.0196086
+0.0208394
+0.0222108
+0.0237057
+0.0253021
+0.026982
+0.0287254
+0.0305227
+0.0323685
+0.0342549
+0.0359721
+0.0370152
+0.0381281
+0.0393104
+0.0405559
+0.0418777
+0.0432588
+0.0446947
+0.0461789
+0.0477042
+0.0492465
+0.050826
+0.0687971
+0.0667168
+0.0646437
+0.0625786
+0.0605224
+0.0584758
+0.0564385
+0.0544131
+0.0524009
+0.0504037
+0.0484231
+0.0464615
+0.0445212
+0.0426052
+0.0407169
+0.0388604
+0.0370404
+0.0352624
+0.0335236
+0.0318407
+0.0302228
+0.0286812
+0.0272286
+0.0258802
+0.024653
+0.023561
+0.0222236
+0.0205963
+0.0190822
+0.0177101
+0.0165156
+0.0155396
+0.0148021
+0.014323
+0.0141701
+0.0143538
+0.0148021
+0.0143734
+0.0138314
+0.0135947
+0.0136627
+0.0140542
+0.0147204
+0.0156387
+0.0166926
+0.0179532
+0.0177889
+0.0160548
+0.0144138
+0.0129109
+0.0115776
+0.0105224
+0.00976547
+0.00939757
+0.00940699
+0.00911025
+0.00914719
+0.00910208
+0.00947982
+0.0102387
+0.0108658
+0.0112526
+0.0119268
+0.012474
+0.0133203
+0.0138439
+0.0144015
+0.0152326
+0.0160164
+0.0166198
+0.0169366
+0.0172607
+0.0175382
+0.0174199
+0.0175505
+0.0179495
+0.0185527
+0.0193832
+0.0204159
+0.0216007
+0.0229266
+0.0243776
+0.0259327
+0.0275743
+0.0292878
+0.0310613
+0.0328852
+0.03475
+0.0366448
+0.0383423
+0.0394304
+0.0405748
+0.0417825
+0.0430667
+0.0444218
+0.045831
+0.0472795
+0.0487813
+0.0503169
+0.051874
+0.0682306
+0.0662321
+0.064201
+0.0621222
+0.0600492
+0.0579848
+0.0559297
+0.0538851
+0.0518525
+0.0498333
+0.0478291
+0.0458421
+0.0438744
+0.0419288
+0.0400086
+0.0381176
+0.0362604
+0.0344423
+0.03267
+0.030941
+0.0292735
+0.027679
+0.0261709
+0.0247649
+0.0234795
+0.0223353
+0.0213291
+0.0198682
+0.0182936
+0.0168572
+0.0155973
+0.0145596
+0.0137936
+0.013282
+0.013117
+0.0133153
+0.0138059
+0.0132001
+0.0126078
+0.0123476
+0.0124727
+0.0129062
+0.0136363
+0.0145702
+0.015705
+0.0170412
+0.0185338
+0.0168579
+0.0153012
+0.0138909
+0.0126585
+0.0117095
+0.011062
+0.0107288
+0.0103566
+0.00978878
+0.00963573
+0.00997345
+0.0103945
+0.0106146
+0.0110268
+0.0113834
+0.0120503
+0.0125906
+0.013298
+0.0136399
+0.0141875
+0.0150328
+0.0161109
+0.0171345
+0.0177611
+0.0179114
+0.0181064
+0.0185265
+0.0187063
+0.0190812
+0.0196497
+0.0204356
+0.0214177
+0.0225499
+0.023823
+0.0252225
+0.0267285
+0.028324
+0.0299947
+0.0317287
+0.0335163
+0.0353493
+0.0372209
+0.0391257
+0.0408087
+0.0419155
+0.0430857
+0.0443321
+0.0456497
+0.0470325
+0.0484542
+0.0499207
+0.0514387
+0.0529819
+0.0675847
+0.0655665
+0.0635597
+0.0615612
+0.0595759
+0.0575631
+0.0554928
+0.053432
+0.051382
+0.0493441
+0.0473199
+0.0453111
+0.04332
+0.0413485
+0.0394
+0.0374783
+0.0355877
+0.0337334
+0.0319218
+0.0301605
+0.0284589
+0.0268186
+0.0252592
+0.0237995
+0.0224588
+0.0212598
+0.0202001
+0.0193295
+0.0177133
+0.0162256
+0.0149124
+0.0138233
+0.0130143
+0.0124705
+0.0122946
+0.0125059
+0.013039
+0.0123075
+0.0116706
+0.011389
+0.0115245
+0.011993
+0.0127752
+0.0137673
+0.014963
+0.01636
+0.0179166
+0.0178928
+0.0164309
+0.0151167
+0.0139978
+0.0131417
+0.0124639
+0.0116067
+0.011115
+0.0106393
+0.0104985
+0.0105743
+0.0106636
+0.0108885
+0.0112307
+0.0119154
+0.0125426
+0.0130211
+0.0134193
+0.0137285
+0.0142839
+0.0151215
+0.0162092
+0.0174577
+0.0184151
+0.0187095
+0.0188962
+0.0192991
+0.0199111
+0.0203719
+0.0209026
+0.0216431
+0.0225727
+0.0236644
+0.0248806
+0.0262237
+0.0276753
+0.0292191
+0.0308413
+0.0325303
+0.0342761
+0.0360705
+0.0379065
+0.0397785
+0.0416816
+0.0433256
+0.0444587
+0.0456677
+0.0469478
+0.0482934
+0.0496977
+0.0511285
+0.0526117
+0.0541429
+0.0670042
+0.0649679
+0.062942
+0.0609233
+0.0589165
+0.0569233
+0.0549451
+0.0529836
+0.0509999
+0.0489461
+0.0469046
+0.0448773
+0.042866
+0.0408732
+0.0389017
+0.0369548
+0.0350368
+0.0331526
+0.0313082
+0.0295113
+0.0277702
+0.0260966
+0.0245048
+0.0230027
+0.0216128
+0.020344
+0.0192324
+0.0183164
+0.0173915
+0.0158737
+0.0145286
+0.0134006
+0.0125398
+0.0120072
+0.0118244
+0.012044
+0.0125868
+0.0116867
+0.011061
+0.010796
+0.0109389
+0.0114313
+0.0122495
+0.0132809
+0.0145168
+0.0159529
+0.0175456
+0.0191163
+0.0177306
+0.0165201
+0.0153768
+0.0143135
+0.013246
+0.0123391
+0.0116596
+0.011351
+0.0109872
+0.0110207
+0.0110831
+0.0113451
+0.0116642
+0.0123106
+0.0129931
+0.0135051
+0.0138484
+0.0141228
+0.0146632
+0.0154803
+0.016549
+0.0178199
+0.0188154
+0.0197198
+0.0198751
+0.0202557
+0.0208188
+0.0215905
+0.0222896
+0.0229854
+0.0238627
+0.0249024
+0.0260796
+0.027364
+0.028758
+0.0302466
+0.0318165
+0.0334563
+0.0351561
+0.0369078
+0.0387041
+0.0405393
+0.0424082
+0.0443066
+0.0458952
+0.0470673
+0.0483104
+0.0496191
+0.0509883
+0.0524002
+0.0538484
+0.0553453
+0.0664908
+0.0644383
+0.0623953
+0.0603583
+0.058332
+0.0563181
+0.0543179
+0.0523329
+0.050365
+0.0484162
+0.046489
+0.0445471
+0.0425202
+0.0405103
+0.0385202
+0.0365531
+0.0346128
+0.0327042
+0.030833
+0.0290067
+0.0272341
+0.0255266
+0.023898
+0.0223656
+0.0209267
+0.0196045
+0.0184484
+0.0174914
+0.0167676
+0.0157692
+0.0144144
+0.0132672
+0.0123971
+0.0118621
+0.0116771
+0.0118955
+0.0124279
+0.0114529
+0.0108136
+0.0105642
+0.0107101
+0.0112198
+0.0120421
+0.0131187
+0.0143937
+0.015841
+0.017444
+0.0191273
+0.0187469
+0.0173697
+0.0161473
+0.0151382
+0.0139957
+0.0130408
+0.0123879
+0.0121018
+0.0118088
+0.0118379
+0.0118609
+0.0121078
+0.0124165
+0.0130288
+0.0136946
+0.0142668
+0.014573
+0.0148335
+0.015349
+0.0161313
+0.0171595
+0.0183922
+0.0193747
+0.0204775
+0.0210201
+0.0213744
+0.0219087
+0.0226434
+0.0235595
+0.0244505
+0.0252771
+0.0262608
+0.0273848
+0.0286267
+0.0299621
+0.0313937
+0.0329089
+0.0344968
+0.0361477
+0.0378535
+0.039607
+0.0414021
+0.0432338
+0.0450974
+0.0469893
+0.0485255
+0.0497321
+0.0510044
+0.0523374
+0.0537267
+0.0551443
+0.0566071
+0.0660461
+0.0639794
+0.0619212
+0.0598681
+0.0578247
+0.0557924
+0.0537726
+0.0517668
+0.0497765
+0.0478037
+0.0458507
+0.0439202
+0.0420152
+0.0401393
+0.0382606
+0.0362794
+0.0343237
+0.032398
+0.0305081
+0.0286611
+0.0268657
+0.0251332
+0.0234773
+0.0219155
+0.0204448
+0.0190892
+0.0178998
+0.0169118
+0.0161621
+0.0156849
+0.0146225
+0.013493
+0.0126384
+0.0121141
+0.0119329
+0.0121467
+0.0125213
+0.0116055
+0.0109752
+0.0107549
+0.0108984
+0.0113907
+0.0122147
+0.0132774
+0.0145522
+0.0159892
+0.0175797
+0.0192363
+0.01963
+0.0183189
+0.0171413
+0.0160571
+0.014924
+0.0140187
+0.0134135
+0.0131498
+0.0129384
+0.0129073
+0.0129284
+0.0131553
+0.0134399
+0.0140075
+0.0146922
+0.0152705
+0.0155744
+0.0158156
+0.0163024
+0.0170411
+0.0180174
+0.0191951
+0.0201384
+0.0212016
+0.022322
+0.0226502
+0.0231552
+0.0238514
+0.0247228
+0.0257449
+0.0267961
+0.027726
+0.0287929
+0.0299821
+0.0312734
+0.0326475
+0.0341071
+0.0356416
+0.0372419
+0.0388997
+0.040608
+0.0423608
+0.0441527
+0.0459791
+0.0478362
+0.0497204
+0.0512082
+0.0524446
+0.0537419
+0.0550958
+0.0563996
+0.0572444
+0.0656716
+0.0635927
+0.0615215
+0.0594546
+0.0573965
+0.0553485
+0.0533119
+0.051288
+0.0492784
+0.0472849
+0.0453095
+0.0433549
+0.0414239
+0.03952
+0.0376473
+0.0358052
+0.0339951
+0.0322323
+0.0303383
+0.0284802
+0.0266727
+0.0249267
+0.0232562
+0.0216784
+0.0201902
+0.0188163
+0.0176086
+0.0166032
+0.0158389
+0.0153516
+0.0151478
+0.0140606
+0.0132426
+0.0127092
+0.0125367
+0.012744
+0.0129571
+0.0120794
+0.0114976
+0.0112664
+0.0114034
+0.0119028
+0.0127132
+0.0137778
+0.015019
+0.0164152
+0.0179674
+0.0195913
+0.0206739
+0.0194054
+0.0182912
+0.0171419
+0.0160666
+0.0152294
+0.0146632
+0.0144041
+0.0142641
+0.0142359
+0.0142549
+0.0144466
+0.0147062
+0.0152271
+0.0158792
+0.0164653
+0.0167785
+0.0169944
+0.0174798
+0.0181707
+0.0190893
+0.0202046
+0.0211029
+0.0221199
+0.02327
+0.0240582
+0.0245342
+0.0251924
+0.0260189
+0.0269924
+0.028076
+0.0292819
+0.030294
+0.0314265
+0.0326668
+0.0339965
+0.0354005
+0.0368812
+0.0384299
+0.0400385
+0.0417002
+0.0434089
+0.0451593
+0.0469466
+0.0487668
+0.0506164
+0.0524922
+0.0539354
+0.0546057
+0.055305
+0.0560697
+0.056903
+0.0653683
+0.0632794
+0.0611977
+0.0591195
+0.0570492
+0.0549884
+0.0529379
+0.0508991
+0.0488735
+0.0468628
+0.0448689
+0.0428942
+0.0409414
+0.039014
+0.0371158
+0.0352459
+0.0334055
+0.0316098
+0.0298669
+0.0281787
+0.0265595
+0.024912
+0.0232403
+0.0216346
+0.0201269
+0.0187545
+0.0175489
+0.0165436
+0.0157757
+0.0152857
+0.0150659
+0.0149311
+0.01413
+0.0136273
+0.0134665
+0.0136597
+0.0137082
+0.0128731
+0.0123229
+0.0120954
+0.0122231
+0.0127099
+0.0134903
+0.0145391
+0.0157718
+0.0171132
+0.0186066
+0.0201791
+0.0218401
+0.0206415
+0.0195774
+0.0183843
+0.0173834
+0.0166116
+0.0160877
+0.0158519
+0.0157827
+0.0157572
+0.0157572
+0.0158999
+0.0161362
+0.0166305
+0.0172571
+0.01785
+0.0181393
+0.0183392
+0.018794
+0.0194428
+0.020304
+0.021356
+0.022238
+0.0232092
+0.0243079
+0.0255475
+0.0260248
+0.0266462
+0.027429
+0.0283544
+0.0293879
+0.0305438
+0.0318087
+0.0329533
+0.0341382
+0.035419
+0.036779
+0.0382063
+0.0397033
+0.0412624
+0.0428767
+0.0445402
+0.0462478
+0.0479945
+0.0497765
+0.0515899
+0.0531836
+0.0537103
+0.0543153
+0.0550009
+0.0557642
+0.056602
+0.0651374
+0.0630408
+0.0609509
+0.058864
+0.0567845
+0.0547136
+0.0526525
+0.0506022
+0.0485642
+0.0465401
+0.0445317
+0.042541
+0.0405668
+0.0386137
+0.0366874
+0.0347924
+0.0329342
+0.0311145
+0.0293305
+0.0276051
+0.0259501
+0.0243797
+0.0229114
+0.021566
+0.0202999
+0.01894
+0.017747
+0.0167536
+0.0159957
+0.0155127
+0.0152962
+0.0153654
+0.0152741
+0.0148102
+0.0146624
+0.0148401
+0.0147398
+0.0139433
+0.0134232
+0.0131966
+0.0133137
+0.0137825
+0.0145251
+0.0155247
+0.0166996
+0.0176993
+0.0188781
+0.0202109
+0.0216836
+0.0220237
+0.0209052
+0.0197896
+0.0188634
+0.018148
+0.0176697
+0.0174553
+0.0174257
+0.0174026
+0.0174018
+0.0175074
+0.0177223
+0.0181901
+0.01879
+0.019384
+0.0196507
+0.0198353
+0.0202566
+0.02086
+0.0216649
+0.0226537
+0.0234922
+0.0244202
+0.0254921
+0.0266768
+0.0276
+0.0281867
+0.0289278
+0.0298117
+0.0307999
+0.0319046
+0.0331176
+0.0344274
+0.0356835
+0.0369107
+0.0382243
+0.0396083
+0.0410542
+0.0425638
+0.0441305
+0.0457485
+0.0474126
+0.0491179
+0.0508605
+0.0524968
+0.0529521
+0.0534811
+0.0540886
+0.0547771
+0.0555434
+0.0563845
+0.0649795
+0.0628777
+0.0607822
+0.0586892
+0.0566033
+0.0545256
+0.052457
+0.0503988
+0.0483508
+0.046312
+0.0442873
+0.042279
+0.0402898
+0.0383226
+0.0363809
+0.0344691
+0.0325924
+0.0307524
+0.0289461
+0.0271964
+0.0255149
+0.0239159
+0.0224172
+0.0210403
+0.0198103
+0.0187565
+0.0179098
+0.0172326
+0.0164968
+0.0160288
+0.0158144
+0.0158814
+0.0162462
+0.016184
+0.0160489
+0.0162113
+0.016004
+0.015242
+0.0147577
+0.0144941
+0.0140831
+0.0140016
+0.0142001
+0.0147253
+0.0155444
+0.0166138
+0.0178644
+0.0192674
+0.0208069
+0.0224549
+0.0223667
+0.0213277
+0.0204712
+0.0198078
+0.0193706
+0.0191752
+0.0191784
+0.0191575
+0.0191561
+0.0192304
+0.0194262
+0.0198632
+0.0204354
+0.0210068
+0.0212806
+0.0214512
+0.0218413
+0.022402
+0.0231534
+0.0240812
+0.0248765
+0.0257546
+0.0267835
+0.027459
+0.0282477
+0.0291787
+0.0302348
+0.0313395
+0.0322989
+0.033354
+0.0345161
+0.0357747
+0.03712
+0.0384694
+0.0397314
+0.0410716
+0.0424752
+0.043936
+0.0454554
+0.0470279
+0.0486482
+0.0503117
+0.0519859
+0.052354
+0.0528105
+0.0533384
+0.0539475
+0.0546259
+0.0553514
+0.0561529
+0.0648952
+0.0627906
+0.0606921
+0.0585959
+0.0565064
+0.0544221
+0.0523443
+0.0502761
+0.0482188
+0.0461737
+0.0441426
+0.0421274
+0.0401307
+0.0381553
+0.0362046
+0.034283
+0.0323955
+0.0305435
+0.0287241
+0.02696
+0.0252628
+0.0236468
+0.0221299
+0.0207338
+0.0194846
+0.0184121
+0.0175487
+0.0168921
+0.0164824
+0.0163582
+0.016526
+0.0166477
+0.0169961
+0.0176121
+0.0175996
+0.0173323
+0.0165906
+0.0153202
+0.0142748
+0.0135066
+0.0130646
+0.0129768
+0.0131906
+0.0137545
+0.014628
+0.0157597
+0.017073
+0.018536
+0.0201315
+0.0218305
+0.0236106
+0.0229696
+0.0221738
+0.0215627
+0.0211618
+0.0209831
+0.021008
+0.0209944
+0.0209925
+0.0210363
+0.0212155
+0.0216163
+0.022168
+0.0227099
+0.0230038
+0.0231617
+0.0235235
+0.024045
+0.0247465
+0.0256167
+0.0263578
+0.0266739
+0.0271607
+0.0278039
+0.0285966
+0.0295298
+0.0305738
+0.0317349
+0.0330008
+0.0343598
+0.0355151
+0.036748
+0.0380638
+0.0394531
+0.0409126
+0.042399
+0.0439365
+0.0453725
+0.0468454
+0.0483727
+0.0499494
+0.0515709
+0.0518832
+0.0522343
+0.0526742
+0.0532008
+0.0537922
+0.0544406
+0.0551684
+0.0559705
+0.0648849
+0.0627799
+0.0606767
+0.058575
+0.0564801
+0.0543927
+0.0523138
+0.0502443
+0.0481856
+0.046139
+0.0441063
+0.0420894
+0.0400908
+0.0381133
+0.0361604
+0.0342363
+0.0323461
+0.0304911
+0.0286683
+0.0269006
+0.0251993
+0.023579
+0.0220574
+0.0206564
+0.0194022
+0.0183249
+0.0174572
+0.0167972
+0.016385
+0.0162601
+0.016429
+0.0168828
+0.0175729
+0.0184742
+0.0180081
+0.0173691
+0.0160373
+0.0147193
+0.0136278
+0.0128209
+0.0123545
+0.0122615
+0.0124876
+0.0130818
+0.0139974
+0.0151762
+0.0165359
+0.0180425
+0.0196781
+0.0214131
+0.0232252
+0.0246942
+0.0239557
+0.0233912
+0.0230222
+0.022858
+0.0228809
+0.0228937
+0.0228914
+0.0229069
+0.0230715
+0.0234406
+0.0239757
+0.0244907
+0.0248009
+0.0249474
+0.0252837
+0.02576
+0.0263104
+0.0266683
+0.0268876
+0.0271948
+0.0276725
+0.0283093
+0.0290882
+0.0300072
+0.0310538
+0.0322047
+0.0334527
+0.0347941
+0.0359896
+0.0372068
+0.0385102
+0.0398914
+0.0413425
+0.0428547
+0.0444186
+0.0460337
+0.0476615
+0.049327
+0.0510322
+0.0515462
+0.0517983
+0.0521346
+0.0525402
+0.0530317
+0.0535924
+0.0542358
+0.0549591
+0.0557591
+0.06494
+0.0628354
+0.0607294
+0.0586296
+0.0565367
+0.0544515
+0.0523749
+0.050308
+0.048252
+0.0462083
+0.0441788
+0.0421654
+0.0401705
+0.0381972
+0.0362488
+0.0343296
+0.0324448
+0.0305957
+0.0287796
+0.0270192
+0.0253259
+0.0237142
+0.0222018
+0.0208064
+0.0195536
+0.0184765
+0.0176072
+0.0169645
+0.0165565
+0.0164329
+0.0166
+0.0170493
+0.0177279
+0.0176268
+0.0166883
+0.0159966
+0.0155604
+0.0144293
+0.0133141
+0.0124869
+0.0120075
+0.0119118
+0.0121444
+0.0127546
+0.0136921
+0.0148951
+0.0162724
+0.0177952
+0.0194459
+0.0211912
+0.0230128
+0.024894
+0.0258007
+0.0252774
+0.0249363
+0.0247848
+0.0248059
+0.024841
+0.0248383
+0.0248299
+0.0249818
+0.0253231
+0.0252903
+0.025017
+0.0249337
+0.0250424
+0.0252572
+0.0256317
+0.0261688
+0.0267167
+0.0269604
+0.0273008
+0.0278101
+0.0284792
+0.0292972
+0.0302521
+0.0313163
+0.0324825
+0.0337508
+0.0351101
+0.0365502
+0.0377872
+0.0390712
+0.0404333
+0.0418657
+0.0433615
+0.0449134
+0.0465109
+0.0481551
+0.0498413
+0.0512496
+0.05141
+0.0516628
+0.052
+0.0524066
+0.0528993
+0.0534614
+0.0541064
+0.0548313
+0.0556332
+0.0650631
+0.0629626
+0.060861
+0.0587659
+0.056678
+0.0545982
+0.0525274
+0.0504667
+0.0484174
+0.0463811
+0.0443595
+0.0423547
+0.0403692
+0.038406
+0.0364688
+0.0345618
+0.0326845
+0.0308363
+0.0290357
+0.0272922
+0.0256174
+0.0240201
+0.0225213
+0.0211435
+0.0199119
+0.0188553
+0.0180043
+0.0173763
+0.0169782
+0.0168576
+0.0170206
+0.017459
+0.0177318
+0.016532
+0.0155357
+0.0147903
+0.0143438
+0.0141729
+0.0132983
+0.0124701
+0.01199
+0.0119003
+0.0121418
+0.0127521
+0.0136897
+0.014891
+0.0162505
+0.0177752
+0.0194275
+0.0211744
+0.0229973
+0.0248797
+0.0268079
+0.0272092
+0.0268926
+0.0267522
+0.0267718
+0.0268259
+0.0268229
+0.0265765
+0.0258888
+0.0253544
+0.0249066
+0.0246288
+0.0245441
+0.0246545
+0.0249575
+0.0253804
+0.0257701
+0.0263274
+0.0269748
+0.0273451
+0.0278536
+0.0285217
+0.0293385
+0.0302921
+0.0313642
+0.0325287
+0.0337953
+0.0351528
+0.0365913
+0.0381015
+0.0396752
+0.041085
+0.0424954
+0.0439698
+0.045501
+0.0470786
+0.0487036
+0.0503715
+0.0512065
+0.0513669
+0.05162
+0.0519574
+0.0523644
+0.0528575
+0.0534104
+0.0540389
+0.0547478
+0.0555342
+0.0652595
+0.0631655
+0.0610709
+0.0589833
+0.0569034
+0.0548321
+0.0527705
+0.0507197
+0.048681
+0.0466562
+0.044647
+0.0426558
+0.040685
+0.0387378
+0.0368171
+0.0349144
+0.0330457
+0.0312188
+0.0294416
+0.0277236
+0.0260766
+0.0245093
+0.0230423
+0.0216976
+0.0204993
+0.0194746
+0.0186519
+0.0180464
+0.0176634
+0.0175476
+0.0177042
+0.0181261
+0.0169167
+0.0156545
+0.0146134
+0.0138279
+0.0133492
+0.0131821
+0.0133453
+0.0128214
+0.012355
+0.0122679
+0.0125023
+0.0130959
+0.0140105
+0.0151864
+0.0165216
+0.0180234
+0.0196549
+0.0213831
+0.0231897
+0.0250576
+0.0269732
+0.0289143
+0.0288826
+0.0287519
+0.0287701
+0.0278103
+0.0268157
+0.0259683
+0.0252641
+0.0247161
+0.0243536
+0.0241849
+0.0242139
+0.0244205
+0.0247628
+0.0251521
+0.0255453
+0.0261074
+0.026778
+0.0273221
+0.0279092
+0.0286521
+0.029521
+0.0304689
+0.0315406
+0.0327185
+0.0339812
+0.0353316
+0.0367631
+0.0382665
+0.0398336
+0.0414574
+0.0431306
+0.0446774
+0.0461851
+0.0477401
+0.0493433
+0.0509903
+0.0512317
+0.0514008
+0.0516595
+0.0519448
+0.0523163
+0.0527761
+0.0533221
+0.0539516
+0.0546617
+0.0554394
+0.0655286
+0.0634435
+0.0613584
+0.0592809
+0.0572118
+0.0551521
+0.0531029
+0.0510654
+0.0490412
+0.0470319
+0.0450395
+0.0430663
+0.0411152
+0.039181
+0.0372687
+0.0353886
+0.0335463
+0.0317482
+0.0300024
+0.0283185
+0.0267082
+0.0251802
+0.0237546
+0.0224526
+0.0212969
+0.0203124
+0.0195251
+0.0189475
+0.0185831
+0.0184731
+0.0186219
+0.017783
+0.0163307
+0.0150473
+0.0139605
+0.0131259
+0.0126207
+0.0124561
+0.0126288
+0.0131687
+0.0130817
+0.0129994
+0.0132209
+0.0137835
+0.0146553
+0.0157832
+0.0170718
+0.018529
+0.0201196
+0.0218111
+0.0235849
+0.0254238
+0.0273136
+0.0292322
+0.0308998
+0.0298056
+0.0285478
+0.0274053
+0.0263955
+0.0255342
+0.0248176
+0.0242596
+0.0238901
+0.0237181
+0.0237477
+0.0239583
+0.0243464
+0.0249217
+0.0255073
+0.0260703
+0.0266834
+0.0273206
+0.0279077
+0.0286507
+0.0295379
+0.0305566
+0.0316935
+0.0329279
+0.0342581
+0.0356254
+0.0370503
+0.0385472
+0.0401078
+0.0417242
+0.0433872
+0.0450936
+0.0468403
+0.0484123
+0.049994
+0.0511953
+0.0512852
+0.0514522
+0.0516448
+0.0519156
+0.0522696
+0.0527122
+0.0532414
+0.0538546
+0.0545489
+0.0553213
+0.0658695
+0.0637956
+0.0617223
+0.0596575
+0.0576019
+0.0555567
+0.053523
+0.0515021
+0.0494958
+0.0475057
+0.045534
+0.0435806
+0.0416399
+0.0397252
+0.0378403
+0.0359901
+0.0341802
+0.0324173
+0.0307096
+0.0290667
+0.0275002
+0.0260187
+0.0246418
+0.0233892
+0.0222821
+0.0213431
+0.0205952
+0.0200349
+0.0196906
+0.0195868
+0.0190912
+0.0174737
+0.0159933
+0.0146916
+0.0135644
+0.0127038
+0.0121811
+0.0120346
+0.0122132
+0.0127707
+0.0136608
+0.014038
+0.0142413
+0.0147641
+0.0155721
+0.0166299
+0.0178754
+0.0192705
+0.020801
+0.0224412
+0.0241639
+0.0259538
+0.0278011
+0.0296952
+0.0308652
+0.0295906
+0.0283235
+0.0271715
+0.0261527
+0.0252831
+0.0245592
+0.0239951
+0.0236215
+0.0234475
+0.0234775
+0.0236905
+0.0240829
+0.0246643
+0.0253007
+0.0258835
+0.0264432
+0.0271466
+0.0279923
+0.0288164
+0.0296986
+0.030712
+0.0318433
+0.0330721
+0.0343968
+0.0358065
+0.0372917
+0.0388438
+0.040455
+0.0420825
+0.0437366
+0.0454361
+0.0471761
+0.0489113
+0.0505325
+0.0513427
+0.0513685
+0.0514471
+0.0516186
+0.0518821
+0.0522363
+0.0526792
+0.0532087
+0.0538223
+0.054517
+0.0552899
+0.066281
+0.0642204
+0.0621614
+0.0601116
+0.0580721
+0.0560441
+0.0540287
+0.0520275
+0.0500422
+0.048072
+0.0461173
+0.0441793
+0.042266
+0.0403809
+0.0385282
+0.0367127
+0.0349402
+0.0332177
+0.0315533
+0.0299567
+0.0284393
+0.0270094
+0.0256856
+0.0244865
+0.0234313
+0.0225402
+0.0218275
+0.0212876
+0.0209639
+0.0207775
+0.0190516
+0.0174305
+0.0159408
+0.0146203
+0.0135156
+0.0126517
+0.0121267
+0.0119796
+0.0121596
+0.0127195
+0.0136129
+0.0147751
+0.0154481
+0.0159323
+0.0166827
+0.0176742
+0.0188533
+0.0201786
+0.0216449
+0.0232256
+0.0248941
+0.0266349
+0.0284381
+0.0302924
+0.0304825
+0.0291827
+0.0279942
+0.0269317
+0.0260107
+0.0252204
+0.0244947
+0.0239291
+0.0235545
+0.02338
+0.0234101
+0.0236236
+0.0240171
+0.0246001
+0.025211
+0.0258223
+0.0263834
+0.0270882
+0.0279357
+0.0289246
+0.0300187
+0.0310216
+0.032142
+0.0333599
+0.0346735
+0.0360725
+0.0375472
+0.0390891
+0.0406905
+0.0423448
+0.0440459
+0.0457778
+0.0475463
+0.0493487
+0.0510132
+0.0514266
+0.05142
+0.0514985
+0.0516698
+0.0519331
+0.0522869
+0.0527294
+0.0532584
+0.0538714
+0.0545655
+0.0553377
+0.066762
+0.0647167
+0.0626739
+0.0606415
+0.0586205
+0.056612
+0.0546137
+0.0526294
+0.0506621
+0.048714
+0.0467861
+0.044877
+0.0429948
+0.0411431
+0.0393262
+0.0375494
+0.0358183
+0.0341401
+0.032523
+0.0309764
+0.0295115
+0.0281361
+0.0268678
+0.0257239
+0.0247216
+0.0238787
+0.0231906
+0.0226832
+0.0223797
+0.0209318
+0.0192198
+0.0176141
+0.0161414
+0.0148387
+0.013755
+0.0129071
+0.012393
+0.0122546
+0.0124448
+0.0129924
+0.0138682
+0.0150083
+0.0163385
+0.0172972
+0.0179926
+0.0189155
+0.0200217
+0.0212743
+0.0226699
+0.0241837
+0.0257902
+0.0274744
+0.0292258
+0.031033
+0.0302458
+0.0289354
+0.0277362
+0.0266635
+0.0257329
+0.0249604
+0.0243467
+0.0238945
+0.0236374
+0.0234898
+0.0235197
+0.0237323
+0.024124
+0.0247045
+0.0253017
+0.0259466
+0.026505
+0.0272068
+0.0280506
+0.0290356
+0.0301479
+0.0313073
+0.0325231
+0.0337875
+0.0350852
+0.0364683
+0.0379276
+0.0394547
+0.0410419
+0.0426825
+0.0443707
+0.0460903
+0.0478473
+0.0496388
+0.0514611
+0.0514891
+0.0514825
+0.0515609
+0.051732
+0.051995
+0.0523484
+0.0527904
+0.0533188
+0.0539311
+0.0546244
+0.0553958
+0.0673109
+0.0652828
+0.0632577
+0.0612402
+0.0592349
+0.0572432
+0.0552665
+0.0533065
+0.0513652
+0.0494447
+0.0475465
+0.0456692
+0.043821
+0.0420057
+0.0402279
+0.0384926
+0.036806
+0.035175
+0.0336076
+0.0321133
+0.0307027
+0.0293831
+0.0281711
+0.0270823
+0.0261321
+0.0253306
+0.0246732
+0.0241969
+0.0230678
+0.0213113
+0.0196324
+0.0180635
+0.0166306
+0.0153695
+0.014326
+0.013514
+0.0130238
+0.0128922
+0.0130731
+0.0135954
+0.0144347
+0.0155333
+0.016822
+0.0182832
+0.0194616
+0.0203178
+0.0213458
+0.0225249
+0.0238474
+0.0252908
+0.0268356
+0.028458
+0.0301523
+0.0313534
+0.0300552
+0.0288476
+0.0276449
+0.0265688
+0.0256351
+0.0248599
+0.0242459
+0.0237917
+0.0235335
+0.0234777
+0.0236258
+0.0239741
+0.0244162
+0.0249899
+0.0255804
+0.0261475
+0.0267539
+0.0274398
+0.0282792
+0.0292577
+0.0303618
+0.0315795
+0.032797
+0.0341005
+0.0354835
+0.0369383
+0.0384294
+0.0399372
+0.041506
+0.043129
+0.0448003
+0.0465041
+0.048246
+0.0500232
+0.0517342
+0.0516446
+0.051638
+0.0517162
+0.0518868
+0.052149
+0.0525013
+0.052942
+0.053469
+0.0540795
+0.054771
+0.0555289
+0.067926
+0.0659066
+0.0638975
+0.0619007
+0.0599175
+0.0579492
+0.0559974
+0.0540639
+0.0521508
+0.0502604
+0.0483941
+0.0465511
+0.0447393
+0.0429629
+0.0412263
+0.0395349
+0.0378947
+0.0363126
+0.0347965
+0.0333555
+0.0319997
+0.0307359
+0.0295793
+0.0285443
+0.0276444
+0.0268737
+0.026255
+0.0253905
+0.0236168
+0.0219044
+0.0202747
+0.0187596
+0.0173842
+0.0161785
+0.0151518
+0.0143863
+0.0139267
+0.0138036
+0.0139773
+0.014467
+0.0152585
+0.0163079
+0.0175667
+0.0189711
+0.0205009
+0.0218502
+0.0227962
+0.0239039
+0.025154
+0.0265263
+0.0280031
+0.0295684
+0.0312055
+0.0310203
+0.0297076
+0.0285029
+0.0274206
+0.0264732
+0.0256445
+0.0249258
+0.024315
+0.0238622
+0.0236047
+0.0235491
+0.0236968
+0.024044
+0.0245165
+0.025114
+0.0257253
+0.0262116
+0.0268511
+0.0275346
+0.0283712
+0.0293466
+0.0304475
+0.0316619
+0.0329772
+0.0343726
+0.0358307
+0.0373085
+0.0388185
+0.040391
+0.0420189
+0.0436616
+0.0453133
+0.0470091
+0.04874
+0.0504998
+0.0519298
+0.0518406
+0.0518438
+0.0519308
+0.0521007
+0.0523618
+0.0527127
+0.0531516
+0.0536308
+0.0541882
+0.0548276
+0.055546
+0.0685929
+0.0665928
+0.064605
+0.0626308
+0.0606715
+0.0587285
+0.0568035
+0.0548984
+0.0530154
+0.0511569
+0.0493246
+0.0475176
+0.0457442
+0.0440084
+0.0423147
+0.0406686
+0.039076
+0.0375437
+0.0360794
+0.0346918
+0.0333903
+0.0321811
+0.0310783
+0.0300949
+0.0292374
+0.0285019
+0.0278644
+0.0260689
+0.0243292
+0.0226631
+0.0210921
+0.0196401
+0.0183355
+0.0171808
+0.0162164
+0.0155036
+0.0150781
+0.0149644
+0.015129
+0.0155825
+0.01632
+0.0173051
+0.0184984
+0.0198398
+0.0212998
+0.0228766
+0.0243574
+0.0253971
+0.0265771
+0.0278795
+0.0292881
+0.0307882
+0.0322553
+0.0308397
+0.0295188
+0.0283062
+0.0272135
+0.0262258
+0.0253891
+0.0247188
+0.0242286
+0.0239158
+0.0237764
+0.0238226
+0.0239686
+0.0243111
+0.0247793
+0.0253706
+0.0259758
+0.0264576
+0.0271084
+0.0278022
+0.0286309
+0.0295978
+0.0306897
+0.0318949
+0.033201
+0.0345966
+0.0360625
+0.0375828
+0.0391667
+0.0408068
+0.0424579
+0.0441183
+0.0458233
+0.047568
+0.0493119
+0.0510629
+0.0521613
+0.0520724
+0.0520742
+0.0521353
+0.052269
+0.0524939
+0.0528088
+0.0532099
+0.0536823
+0.0542392
+0.054878
+0.0555957
+0.0693218
+0.0673434
+0.0653784
+0.0634283
+0.0614943
+0.0595782
+0.0576815
+0.0558064
+0.0539552
+0.0521302
+0.0503333
+0.0485639
+0.0468301
+0.045136
+0.0434863
+0.0418863
+0.0403418
+0.0388594
+0.0374466
+0.0361115
+0.0348631
+0.0337068
+0.0326556
+0.0317132
+0.0308814
+0.0301859
+0.0286327
+0.0268805
+0.025197
+0.0235922
+0.0220874
+0.0207053
+0.0194722
+0.0183895
+0.0174918
+0.0168331
+0.016442
+0.0163379
+0.0164882
+0.0169053
+0.0175874
+0.0185052
+0.0196256
+0.0208952
+0.0222861
+0.0237978
+0.0254085
+0.0269858
+0.0280991
+0.029334
+0.0306759
+0.0321112
+0.0322063
+0.0307893
+0.0294672
+0.0282533
+0.0271503
+0.0261602
+0.0253213
+0.0246491
+0.0241576
+0.0238439
+0.023704
+0.0237661
+0.0239703
+0.0243136
+0.024846
+0.0254954
+0.0261182
+0.0267019
+0.0274485
+0.0282377
+0.029054
+0.0300073
+0.0310848
+0.0322752
+0.0335665
+0.0349476
+0.0364081
+0.0379289
+0.0394989
+0.0411257
+0.0428028
+0.0445246
+0.046286
+0.0480563
+0.0498192
+0.0516101
+0.0524131
+0.0522714
+0.0522213
+0.0522631
+0.0523965
+0.0526209
+0.052935
+0.0533373
+0.0538161
+0.0543716
+0.0550088
+0.0557249
+0.0701116
+0.0681561
+0.0662152
+0.0642905
+0.0623833
+0.0604953
+0.0586283
+0.0567845
+0.0549662
+0.0531759
+0.0514156
+0.0496847
+0.0479914
+0.0463398
+0.0447346
+0.0431808
+0.0416843
+0.0402514
+0.0388892
+0.0376054
+0.0364082
+0.0353025
+0.0342879
+0.0333765
+0.0325872
+0.0312934
+0.0295365
+0.0278412
+0.0262195
+0.0246812
+0.023247
+0.0219381
+0.0207783
+0.0197677
+0.0189355
+0.0183288
+0.0179703
+0.017875
+0.018012
+0.0183946
+0.0190234
+0.019875
+0.0209222
+0.0221179
+0.0234364
+0.0248782
+0.0264231
+0.0280542
+0.0297048
+0.0308756
+0.0321531
+0.0335253
+0.0323017
+0.0308891
+0.0295714
+0.028362
+0.0272635
+0.0262777
+0.0254427
+0.0247738
+0.0242848
+0.0239727
+0.0238336
+0.0238953
+0.0240985
+0.02444
+0.0249697
+0.0256159
+0.0263418
+0.0269206
+0.0276613
+0.0285513
+0.0295663
+0.0305686
+0.031627
+0.0327977
+0.0340693
+0.0354307
+0.0368722
+0.0383781
+0.0399304
+0.0415404
+0.0432014
+0.0449079
+0.0466548
+0.0484379
+0.0502532
+0.0520973
+0.0526308
+0.0524897
+0.0524398
+0.0524814
+0.0526143
+0.0528276
+0.0531231
+0.0535067
+0.0539765
+0.0545304
+0.0551658
+0.0558799
+0.0709603
+0.0690288
+0.0671132
+0.0652149
+0.0633356
+0.0614768
+0.0596406
+0.0578291
+0.0560446
+0.05429
+0.0525647
+0.0508729
+0.0492205
+0.0476116
+0.0460507
+0.0445428
+0.0430936
+0.0417092
+0.0403962
+0.0391618
+0.0380114
+0.0369384
+0.0359656
+0.0350978
+0.0340281
+0.0322714
+0.0305708
+0.0289362
+0.0273786
+0.0259085
+0.0245461
+0.0233102
+0.0222221
+0.0212794
+0.0205087
+0.0199499
+0.0196211
+0.019534
+0.0196515
+0.0200027
+0.0205824
+0.021372
+0.0223492
+0.0234817
+0.0247275
+0.0260981
+0.0275748
+0.0291415
+0.0307777
+0.0324702
+0.0336953
+0.0337108
+0.0323399
+0.0310508
+0.0298366
+0.0286383
+0.027551
+0.0265758
+0.0257505
+0.0250898
+0.0246071
+0.0242992
+0.0241619
+0.0242228
+0.0244233
+0.0247603
+0.0252833
+0.0259217
+0.026718
+0.0273139
+0.0280442
+0.0289224
+0.0299248
+0.0310301
+0.0321744
+0.0333817
+0.0346854
+0.0360408
+0.0374588
+0.0389454
+0.0404762
+0.0420652
+0.0437063
+0.0453938
+0.0471228
+0.0488887
+0.0506879
+0.0525168
+0.0529384
+0.0527897
+0.0527225
+0.0527463
+0.0528609
+0.0530658
+0.05336
+0.0537419
+0.0542097
+0.0547612
+0.055394
+0.0561051
+0.0718657
+0.0699592
+0.0680698
+0.066199
+0.0643484
+0.0625197
+0.0607151
+0.0589366
+0.0571863
+0.0554624
+0.0537726
+0.05212
+0.0505084
+0.0489418
+0.0474247
+0.045962
+0.044559
+0.0432215
+0.0419559
+0.0407687
+0.0396526
+0.0386252
+0.0376959
+0.0368205
+0.0350668
+0.0333649
+0.0317229
+0.030149
+0.0286535
+0.0272522
+0.0259604
+0.0247952
+0.0237679
+0.0228716
+0.0221564
+0.0216402
+0.0213375
+0.0212575
+0.0213658
+0.0216894
+0.0222251
+0.0229582
+0.0238706
+0.0249424
+0.0261388
+0.027439
+0.0288471
+0.0303482
+0.0319223
+0.0335571
+0.0352523
+0.0338555
+0.0324761
+0.0311806
+0.0299679
+0.0288708
+0.0279028
+0.0270487
+0.0262383
+0.0255902
+0.0251171
+0.0248155
+0.0246811
+0.0247407
+0.024937
+0.0252672
+0.0257799
+0.0264063
+0.0270934
+0.0276457
+0.0283348
+0.0291725
+0.0301464
+0.0312367
+0.0324236
+0.0337078
+0.0350788
+0.0365299
+0.0380242
+0.0395395
+0.0411157
+0.0426961
+0.0443139
+0.0459791
+0.0476868
+0.0494326
+0.0512127
+0.0529419
+0.0532735
+0.0531167
+0.0530499
+0.0530736
+0.0531875
+0.0533912
+0.0536836
+0.0540632
+0.0545283
+0.0550716
+0.0556743
+0.0563558
+0.0728258
+0.0709451
+0.0690827
+0.06724
+0.0654189
+0.063621
+0.0618485
+0.0601007
+0.0583807
+0.0566932
+0.0550412
+0.0534279
+0.0518569
+0.0503323
+0.0488584
+0.0474399
+0.0460819
+0.04479
+0.0435699
+0.0424194
+0.0413447
+0.0403604
+0.0394721
+0.0379093
+0.0362084
+0.0345627
+0.0329777
+0.0314642
+0.0300343
+0.0287005
+0.0274769
+0.0263787
+0.0253926
+0.0245556
+0.0238909
+0.023413
+0.0231335
+0.0230597
+0.0231607
+0.0234594
+0.0239556
+0.0246373
+0.0254896
+0.0264961
+0.0276384
+0.0288728
+0.0302143
+0.0316507
+0.0331696
+0.0347484
+0.0355744
+0.0341239
+0.0327558
+0.0314547
+0.030253
+0.0291651
+0.0282025
+0.0273731
+0.0266771
+0.026144
+0.0257532
+0.0255101
+0.0253794
+0.0254373
+0.0256283
+0.0259497
+0.0264492
+0.0270309
+0.0274257
+0.0279738
+0.028655
+0.0294836
+0.0304475
+0.0315274
+0.0327037
+0.0339807
+0.0353475
+0.036794
+0.0383112
+0.0398876
+0.0415177
+0.0431974
+0.0449212
+0.0466599
+0.0483436
+0.0500665
+0.0517567
+0.0532629
+0.0536814
+0.0535258
+0.0534596
+0.0534831
+0.0535962
+0.0537873
+0.0540604
+0.0544176
+0.0548528
+0.0553713
+0.0559707
+0.0566487
+0.0738384
+0.0719842
+0.0701493
+0.0683355
+0.0665443
+0.0647774
+0.0630327
+0.0613167
+0.0596318
+0.0579807
+0.0563664
+0.0547921
+0.0532614
+0.0517782
+0.0503467
+0.0489713
+0.0476569
+0.0464088
+0.0452292
+0.0441142
+0.0430818
+0.0421381
+0.0407891
+0.0390907
+0.0374435
+0.035851
+0.0343244
+0.0328729
+0.031507
+0.0302383
+0.0290794
+0.0280295
+0.0270971
+0.0263144
+0.0256952
+0.0252515
+0.0249926
+0.0249242
+0.0250186
+0.0252955
+0.0257563
+0.0263915
+0.0271889
+0.0281347
+0.0292142
+0.030387
+0.0316644
+0.0330378
+0.0344957
+0.036028
+0.0358911
+0.0345051
+0.033164
+0.0318721
+0.0306824
+0.0296072
+0.0286595
+0.0278437
+0.0271573
+0.0266015
+0.0262176
+0.0260131
+0.0259664
+0.0260943
+0.0263447
+0.0266922
+0.0271694
+0.0275074
+0.0278955
+0.0284427
+0.0291368
+0.029952
+0.0309014
+0.0319659
+0.0331267
+0.034388
+0.0357392
+0.0371704
+0.0386729
+0.0402352
+0.0418518
+0.0435186
+0.0452301
+0.0469815
+0.0487684
+0.0504786
+0.0520135
+0.0534195
+0.0540584
+0.0539039
+0.0538382
+0.0538615
+0.0539738
+0.0541746
+0.0544611
+0.0548085
+0.0552406
+0.0557555
+0.0563509
+0.0570243
+0.0749014
+0.0730742
+0.0712674
+0.0694827
+0.0677195
+0.0659799
+0.0642679
+0.0625857
+0.0609359
+0.0593211
+0.0577443
+0.0562086
+0.0547176
+0.053275
+0.0518847
+0.0505512
+0.049279
+0.048073
+0.0469248
+0.045851
+0.0448587
+0.0436987
+0.0420037
+0.0403557
+0.038759
+0.0372226
+0.0357546
+0.0343636
+0.0330594
+0.0318525
+0.0307525
+0.0297442
+0.0288672
+0.0281338
+0.0275555
+0.0271422
+0.0269015
+0.0268381
+0.0269267
+0.0271841
+0.0276134
+0.0282069
+0.0289543
+0.0298441
+0.0308641
+0.0319797
+0.0331958
+0.0345083
+0.0359066
+0.037381
+0.0361017
+0.0347241
+0.0334203
+0.0322128
+0.0311098
+0.0301161
+0.0292359
+0.0284524
+0.0277713
+0.0272281
+0.0268531
+0.0266535
+0.026608
+0.0267296
+0.0269429
+0.0272827
+0.0277707
+0.0281448
+0.0285261
+0.0290615
+0.029749
+0.0305707
+0.0315014
+0.0325463
+0.0336871
+0.0349281
+0.0362592
+0.0376707
+0.039154
+0.0406978
+0.0422967
+0.0439467
+0.0456422
+0.0473783
+0.0491507
+0.0508847
+0.0522657
+0.0536651
+0.0545209
+0.0543677
+0.0543025
+0.0543257
+0.054437
+0.0546361
+0.0549219
+0.0552669
+0.0556886
+0.0561926
+0.0567654
+0.0574112
+0.0760127
+0.0742128
+0.0724342
+0.0706749
+0.0689403
+0.0672323
+0.065553
+0.0639047
+0.0622898
+0.0607111
+0.0591713
+0.0576736
+0.0562215
+0.0548184
+0.0534683
+0.0521753
+0.0509437
+0.0497695
+0.04866
+0.0476253
+0.0466326
+0.0449415
+0.0432937
+0.0416943
+0.0401508
+0.0386698
+0.0372589
+0.0359261
+0.0346807
+0.0335323
+0.0324712
+0.0315179
+0.0306917
+0.0300029
+0.0294614
+0.0290752
+0.0288506
+0.0287914
+0.0288749
+0.0291151
+0.0295163
+0.0300722
+0.0307744
+0.031613
+0.0325777
+0.0336397
+0.0347978
+0.0360521
+0.0373927
+0.0378823
+0.036443
+0.0350736
+0.0337716
+0.032565
+0.0314649
+0.0304827
+0.029625
+0.0288814
+0.0282884
+0.0278554
+0.0275901
+0.0274349
+0.0273813
+0.0274944
+0.0277018
+0.0280324
+0.0285234
+0.0288924
+0.0293074
+0.0298287
+0.0304989
+0.0313042
+0.0322137
+0.033243
+0.0343782
+0.0355952
+0.0369022
+0.03829
+0.0397501
+0.0412717
+0.0428492
+0.0444786
+0.0461546
+0.0478721
+0.049627
+0.0512448
+0.0526081
+0.0539986
+0.0550667
+0.0549151
+0.0548505
+0.0548734
+0.0549837
+0.0551808
+0.0554398
+0.0557597
+0.0561612
+0.0566347
+0.0571656
+0.0577747
+0.0771702
+0.0753959
+0.0736421
+0.0719123
+0.0702082
+0.0685318
+0.0668852
+0.0652705
+0.0636903
+0.0621471
+0.0606438
+0.0591835
+0.0577693
+0.0564047
+0.0550935
+0.0538395
+0.0526429
+0.051502
+0.0504306
+0.049433
+0.0478995
+0.0462525
+0.0446517
+0.0431027
+0.0416115
+0.0401844
+0.0388285
+0.0375515
+0.0363618
+0.0352596
+0.0342439
+0.0333413
+0.0325614
+0.031913
+0.0314044
+0.0310424
+0.0308321
+0.0307768
+0.0308556
+0.0310805
+0.0314567
+0.0319789
+0.0326401
+0.033432
+0.0343455
+0.0353575
+0.0364611
+0.03766
+0.0389453
+0.0383243
+0.0368917
+0.0355213
+0.0342363
+0.0330467
+0.0319631
+0.0309966
+0.0301491
+0.0294258
+0.0288439
+0.0284194
+0.0281574
+0.0280335
+0.0280804
+0.0282974
+0.0286087
+0.028929
+0.0294094
+0.0297826
+0.0302129
+0.0307333
+0.0313841
+0.0321672
+0.033053
+0.0340569
+0.0351688
+0.0363773
+0.0376617
+0.0390225
+0.0404563
+0.0419522
+0.043505
+0.0451108
+0.0467641
+0.0484601
+0.0501943
+0.0516869
+0.0530388
+0.0544182
+0.0556935
+0.0555435
+0.0554797
+0.0555023
+0.0555483
+0.05566
+0.0558575
+0.0561398
+0.0565057
+0.0569536
+0.0574815
+0.0580873
+0.078368
+0.0766196
+0.0748945
+0.0731943
+0.0715208
+0.0698759
+0.0682617
+0.0666804
+0.0651344
+0.0636262
+0.0621587
+0.0607348
+0.0593575
+0.0580303
+0.0567567
+0.05554
+0.0543721
+0.0532683
+0.0522331
+0.0508683
+0.0492285
+0.0476269
+0.0460738
+0.0445743
+0.043134
+0.0417589
+0.0404558
+0.0392319
+0.0380947
+0.0370284
+0.0360625
+0.0352066
+0.0344689
+0.033857
+0.033378
+0.0330377
+0.0328402
+0.0327883
+0.032863
+0.0330742
+0.033428
+0.0339199
+0.0345439
+0.0352931
+0.0361597
+0.0371251
+0.0381777
+0.0393243
+0.0403414
+0.0388697
+0.037446
+0.0360966
+0.0348328
+0.0336643
+0.0325964
+0.0316397
+0.0308093
+0.0301019
+0.0295333
+0.0291189
+0.0288632
+0.0287424
+0.0287881
+0.0289998
+0.0293738
+0.0298832
+0.0304233
+0.0308031
+0.0312305
+0.0317495
+0.0323841
+0.0331493
+0.034013
+0.0349893
+0.0360724
+0.0372517
+0.0385181
+0.0398622
+0.0412668
+0.0427344
+0.0442597
+0.0458391
+0.047467
+0.0491387
+0.0508499
+0.0522172
+0.0535557
+0.0549222
+0.0563407
+0.0561405
+0.0559945
+0.0559339
+0.0559592
+0.0560701
+0.0562661
+0.0565464
+0.0569097
+0.0573544
+0.0578787
+0.0584803
+0.0796064
+0.0778858
+0.0761894
+0.0745187
+0.0728756
+0.071262
+0.0696799
+0.0681315
+0.0666192
+0.0651454
+0.0637129
+0.0623245
+0.0609832
+0.0596921
+0.0584547
+0.0572659
+0.0561335
+0.055065
+0.0538512
+0.0522154
+0.0506135
+0.0490571
+0.0475508
+0.0460993
+0.0447081
+0.043383
+0.0421302
+0.0409563
+0.0398592
+0.0388402
+0.0379205
+0.0371074
+0.0364083
+0.0358296
+0.0353773
+0.0350563
+0.0348703
+0.0348214
+0.0348925
+0.0350915
+0.0354251
+0.0358896
+0.03648
+0.0371902
+0.0380136
+0.0389358
+0.0399407
+0.041038
+0.040974
+0.0395149
+0.0381129
+0.036788
+0.0355489
+0.034401
+0.0333522
+0.0324178
+0.0316078
+0.0309187
+0.0303655
+0.0299625
+0.0297141
+0.0295968
+0.0296412
+0.0298468
+0.0302103
+0.0307059
+0.0313372
+0.0319324
+0.0323646
+0.0328657
+0.0334791
+0.0342198
+0.0350812
+0.036031
+0.0370837
+0.0382317
+0.0394667
+0.0407821
+0.0421703
+0.0436126
+0.0451083
+0.046659
+0.0482593
+0.0499044
+0.0515466
+0.052833
+0.0541446
+0.0553093
+0.056535
+0.0566318
+0.0564871
+0.0564271
+0.0564521
+0.0565621
+0.0567564
+0.0570342
+0.0573944
+0.0578354
+0.0583554
+0.0589309
+0.0808851
+0.0791923
+0.0775245
+0.0758833
+0.0742704
+0.0726877
+0.0711373
+0.0696214
+0.0681421
+0.066702
+0.0653036
+0.0639498
+0.0626433
+0.0613871
+0.0601801
+0.0590223
+0.0579243
+0.0568464
+0.0552109
+0.053609
+0.05205
+0.0505378
+0.049077
+0.047672
+0.0463281
+0.0450506
+0.0438455
+0.0427188
+0.0416631
+0.0406893
+0.0398123
+0.0390387
+0.0383747
+0.0378261
+0.037398
+0.0370945
+0.0369188
+0.0368726
+0.0369404
+0.0371284
+0.0374439
+0.0378836
+0.0384434
+0.039118
+0.0399016
+0.0407838
+0.0417442
+0.0427953
+0.041702
+0.0402601
+0.0388849
+0.0375873
+0.0363753
+0.0352544
+0.0342318
+0.033322
+0.0325316
+0.0318559
+0.0313192
+0.0309287
+0.03069
+0.0305845
+0.0306275
+0.0308265
+0.0311786
+0.0316572
+0.0322699
+0.0330169
+0.0336034
+0.0340863
+0.0346781
+0.0353938
+0.0362272
+0.0371704
+0.0381939
+0.0393095
+0.0405117
+0.0417942
+0.0431499
+0.044572
+0.0460455
+0.0475657
+0.0488338
+0.0497376
+0.05072
+0.0517765
+0.0529027
+0.0540942
+0.0553468
+0.0566564
+0.0569967
+0.0569372
+0.0569608
+0.0570535
+0.0572299
+0.0574893
+0.0578307
+0.0582524
+0.0587529
+0.0593087
+0.0820291
+0.0805373
+0.0788979
+0.0772858
+0.0757028
+0.0741507
+0.0726316
+0.0711475
+0.0697006
+0.0682934
+0.0669283
+0.0656079
+0.0643351
+0.0631118
+0.0619313
+0.0608069
+0.0597417
+0.0582171
+0.0566155
+0.0550544
+0.0535375
+0.0520687
+0.0506519
+0.0492919
+0.0479934
+0.0467614
+0.0456015
+0.0445192
+0.0435025
+0.0425708
+0.0417334
+0.040996
+0.0403642
+0.0398431
+0.0394368
+0.0391492
+0.0389827
+0.0389389
+0.0390037
+0.0391819
+0.039481
+0.0398983
+0.0404301
+0.0410721
+0.0418191
+0.0426637
+0.0435832
+0.0439852
+0.0425217
+0.0411086
+0.0397628
+0.0384947
+0.0373122
+0.0362203
+0.0352258
+0.0343424
+0.0335617
+0.0329072
+0.0323879
+0.0320104
+0.0317798
+0.0316908
+0.0317323
+0.0319245
+0.0322645
+0.0327238
+0.0333169
+0.0340409
+0.0347871
+0.0353902
+0.0359707
+0.0366611
+0.0374664
+0.0383791
+0.0393926
+0.0404773
+0.0416458
+0.0428944
+0.0442163
+0.0452567
+0.0459314
+0.0466993
+0.0475469
+0.0484747
+0.0494822
+0.0505646
+0.0517172
+0.0529354
+0.0542147
+0.055551
+0.0569403
+0.0573938
+0.0574022
+0.0574942
+0.0576692
+0.0579267
+0.0582654
+0.0586841
+0.0591809
+0.0597539
+0.0828327
+0.0819187
+0.0803075
+0.0787243
+0.0771708
+0.0756489
+0.0741604
+0.0727075
+0.0712923
+0.0699171
+0.0685844
+0.0672965
+0.0660563
+0.0648579
+0.0637098
+0.0626173
+0.0612325
+0.0596314
+0.0580688
+0.0565479
+0.0550721
+0.0536453
+0.0522713
+0.0509545
+0.0496994
+0.0485108
+0.0473938
+0.0463521
+0.0453731
+0.0444806
+0.0436798
+0.0429759
+0.0423736
+0.0418775
+0.0414912
+0.0412179
+0.0410598
+0.0410182
+0.0410803
+0.0412495
+0.0415337
+0.0419306
+0.042437
+0.043049
+0.0437623
+0.0445695
+0.0454534
+0.0448702
+0.0434366
+0.0420542
+0.0407396
+0.0395029
+0.0383516
+0.0372901
+0.0363248
+0.0354566
+0.0346996
+0.034067
+0.0335657
+0.0332016
+0.0329793
+0.0328799
+0.0329199
+0.0331052
+0.0334333
+0.0338986
+0.0344715
+0.0351717
+0.0358996
+0.0365303
+0.0372058
+0.0379526
+0.0387898
+0.0396721
+0.0406534
+0.0417267
+0.0424936
+0.0428844
+0.0433798
+0.0439743
+0.0446684
+0.0454575
+0.0463279
+0.0472796
+0.048312
+0.0494201
+0.0505987
+0.0518432
+0.0531488
+0.0545113
+0.0559264
+0.0573844
+0.0579231
+0.0580142
+0.0581878
+0.0584429
+0.0587787
+0.0591937
+0.0596863
+0.0602545
+0.0836859
+0.0832526
+0.0817516
+0.0801969
+0.0786725
+0.0771802
+0.0757218
+0.0742994
+0.0729152
+0.0715711
+0.0702698
+0.0690134
+0.0677996
+0.0666302
+0.0655132
+0.0642557
+0.0626553
+0.0610915
+0.0595672
+0.0580855
+0.0566498
+0.0552637
+0.053931
+0.0526557
+0.0514422
+0.0502948
+0.0492182
+0.0482117
+0.0472712
+0.0464152
+0.0456484
+0.0449753
+0.0444002
+0.0439269
+0.0435588
+0.0432985
+0.0431481
+0.0431085
+0.0431682
+0.0433292
+0.0435999
+0.0439781
+0.0444612
+0.0450457
+0.0457262
+0.0464966
+0.0473051
+0.0458429
+0.0444406
+0.0430905
+0.0418085
+0.0406044
+0.0394852
+0.038455
+0.037512
+0.0366667
+0.0359353
+0.0353247
+0.0348415
+0.0344909
+0.03427
+0.0341682
+0.0342067
+0.0343851
+0.034701
+0.0351509
+0.0357232
+0.0363994
+0.0371082
+0.0377187
+0.0383732
+0.0390977
+0.0399228
+0.0407062
+0.0407792
+0.0409525
+0.0412416
+0.0416441
+0.0421542
+0.0427657
+0.043479
+0.0442884
+0.045177
+0.0461525
+0.0472096
+0.0483429
+0.0495471
+0.0508174
+0.0521485
+0.0535301
+0.0549643
+0.0564471
+0.0579748
+0.0586117
+0.0587834
+0.059036
+0.0593684
+0.0597793
+0.0602371
+0.0607085
+0.0845873
+0.0841586
+0.0832283
+0.0817017
+0.0802059
+0.0787426
+0.0773137
+0.0759212
+0.074567
+0.0732533
+0.0719824
+0.0707548
+0.069566
+0.0684268
+0.0672858
+0.0656861
+0.0641214
+0.0625942
+0.0611074
+0.059664
+0.0582672
+0.0569205
+0.0556275
+0.054392
+0.0532181
+0.0521098
+0.0510715
+0.0500981
+0.0491937
+0.0483717
+0.0476364
+0.0469918
+0.0464417
+0.0459894
+0.0456379
+0.0453896
+0.045246
+0.0452083
+0.0452658
+0.0454194
+0.0456776
+0.0460388
+0.0465005
+0.0470587
+0.0477072
+0.0484461
+0.0483282
+0.0468979
+0.0455281
+0.0442111
+0.0429627
+0.0417918
+0.0407052
+0.0396989
+0.0387776
+0.0379605
+0.0372545
+0.0366659
+0.0362006
+0.0358633
+0.0356428
+0.035545
+0.035582
+0.0357535
+0.0360574
+0.0364906
+0.0370485
+0.0377144
+0.0377424
+0.0378556
+0.0380946
+0.0384571
+0.0389332
+0.039519
+0.0395767
+0.0397553
+0.040053
+0.0404673
+0.0409947
+0.0416308
+0.0423671
+0.0431841
+0.0440949
+0.0450938
+0.0461752
+0.0473332
+0.0485625
+0.0498579
+0.0512091
+0.0526154
+0.0540739
+0.0555804
+0.0571312
+0.0587229
+0.0594538
+0.0596677
+0.0599502
+0.060311
+0.0607083
+0.0611761
+0.0855353
+0.0851114
+0.0847325
+0.0832369
+0.0817692
+0.0803344
+0.0789344
+0.0775709
+0.0762461
+0.0749618
+0.0737203
+0.0725153
+0.0713559
+0.0702457
+0.0687229
+0.0671575
+0.0656279
+0.0641366
+0.0626864
+0.0612802
+0.0599211
+0.0586124
+0.0573575
+0.0561601
+0.0550239
+0.0539527
+0.0529506
+0.0520054
+0.0511348
+0.0503445
+0.0496385
+0.0490202
+0.048493
+0.0480601
+0.0477239
+0.0474864
+0.0473493
+0.0473132
+0.0473718
+0.0475186
+0.0477655
+0.048111
+0.0485524
+0.0490839
+0.0497058
+0.0504154
+0.0494272
+0.0480296
+0.0466895
+0.0454034
+0.0441887
+0.0430511
+0.0419937
+0.041007
+0.0401158
+0.0393265
+0.0386455
+0.0380784
+0.0376306
+0.0373062
+0.0370943
+0.0370003
+0.0370359
+0.0372006
+0.0373677
+0.0369915
+0.0367423
+0.03661
+0.0365957
+0.0367124
+0.0369589
+0.0373324
+0.0378173
+0.038396
+0.0384554
+0.0386391
+0.0389454
+0.0393714
+0.0399132
+0.0405663
+0.0413216
+0.0421588
+0.0430913
+0.044113
+0.0452178
+0.0463997
+0.0476531
+0.0489725
+0.0503476
+0.0517772
+0.0532586
+0.0547876
+0.0563603
+0.0579731
+0.0596227
+0.0602165
+0.0604504
+0.0607624
+0.0611513
+0.0616158
+0.0865283
+0.0861093
+0.0857349
+0.0848009
+0.0833608
+0.0819539
+0.080582
+0.0792469
+0.0779505
+0.0766948
+0.0754766
+0.0742988
+0.0731676
+0.071765
+0.070199
+0.0686673
+0.067172
+0.0657157
+0.0643012
+0.0629311
+0.0616084
+0.0603363
+0.0591181
+0.0579571
+0.0568568
+0.0558208
+0.0548474
+0.0539338
+0.0530948
+0.0523341
+0.0516552
+0.0510614
+0.0505555
+0.0501404
+0.0498182
+0.0495908
+0.0494595
+0.049425
+0.0494852
+0.0496257
+0.0498622
+0.050193
+0.0506129
+0.0511225
+0.05172
+0.0518703
+0.0504568
+0.049091
+0.0477866
+0.0465488
+0.0453831
+0.044295
+0.0432906
+0.0423757
+0.0415265
+0.0407645
+0.0401079
+0.0395619
+0.039131
+0.0388191
+0.0386156
+0.0382288
+0.0374828
+0.0368506
+0.0363373
+0.0359503
+0.0356938
+0.0355619
+0.0355472
+0.0356673
+0.0359209
+0.0363007
+0.0367982
+0.0373678
+0.0374288
+0.0376176
+0.0379321
+0.0383693
+0.0389251
+0.0395945
+0.0403652
+0.0412246
+0.0421778
+0.043221
+0.044348
+0.0455526
+0.0468287
+0.0481706
+0.0495679
+0.0510194
+0.0525222
+0.054072
+0.0556649
+0.0572973
+0.0589658
+0.0606676
+0.0609708
+0.0612802
+0.0616645
+0.0621101
+0.0875649
+0.0871509
+0.086781
+0.0863922
+0.084979
+0.0835994
+0.0822549
+0.0809474
+0.0796787
+0.0784484
+0.0772538
+0.0761035
+0.0748117
+0.0732453
+0.0717117
+0.0702129
+0.0687513
+0.0673292
+0.0659492
+0.0646141
+0.0633266
+0.0620897
+0.0609066
+0.0597803
+0.0587142
+0.0577115
+0.0567638
+0.0558814
+0.0550721
+0.0543392
+0.0536856
+0.0531145
+0.0526284
+0.0522297
+0.0519205
+0.0517023
+0.0515764
+0.0515433
+0.0516014
+0.0517362
+0.0519631
+0.0522809
+0.0526835
+0.0531733
+0.0537479
+0.0527348
+0.0513361
+0.0499943
+0.0487141
+0.0475005
+0.0463586
+0.0452941
+0.0443123
+0.0434096
+0.0425905
+0.0418702
+0.0412537
+0.0407458
+0.0402541
+0.0391996
+0.0382237
+0.0373469
+0.036579
+0.0359283
+0.0354015
+0.0350041
+0.0347406
+0.0346131
+0.0345981
+0.0347215
+0.0349819
+0.0353735
+0.035884
+0.0364424
+0.036505
+0.0366985
+0.0370209
+0.0374687
+0.0380377
+0.0387074
+0.0394866
+0.0403698
+0.0413503
+0.0424212
+0.0435711
+0.0447966
+0.0460936
+0.0474564
+0.0488741
+0.0503456
+0.0518679
+0.0534367
+0.055048
+0.0566981
+0.0583838
+0.0601021
+0.0614362
+0.0617432
+0.0621176
+0.06256
+0.0886294
+0.0882309
+0.0878693
+0.0875558
+0.0866225
+0.0852694
+0.0839517
+0.082671
+0.0814291
+0.0802196
+0.0790518
+0.0778624
+0.0762958
+0.0747605
+0.0732586
+0.0717921
+0.0703633
+0.0689745
+0.0676281
+0.0663268
+0.0650732
+0.0638701
+0.0627206
+0.0616274
+0.0605938
+0.0596205
+0.0586993
+0.0578465
+0.0570651
+0.056358
+0.0557282
+0.0551782
+0.0547104
+0.054327
+0.0540298
+0.0538202
+0.0536992
+0.0536675
+0.0537225
+0.053852
+0.05407
+0.0543754
+0.0547635
+0.0552348
+0.0550928
+0.0536662
+0.0522924
+0.0509758
+0.0497208
+0.0485324
+0.0474155
+0.0463751
+0.0454107
+0.0444092
+0.0433317
+0.0423402
+0.0414408
+0.0406398
+0.0395182
+0.038444
+0.0374495
+0.0365526
+0.0357675
+0.0351019
+0.0345625
+0.0341553
+0.0338851
+0.0337545
+0.033739
+0.0338656
+0.0341326
+0.0345367
+0.0350733
+0.0356127
+0.0356767
+0.0358747
+0.0362043
+0.0366622
+0.0372341
+0.0379171
+0.0387122
+0.0396127
+0.0406114
+0.0416999
+0.0428669
+0.0441119
+0.0454285
+0.0468106
+0.0482527
+0.0497494
+0.051296
+0.0528846
+0.0545121
+0.056178
+0.0578789
+0.0596117
+0.061242
+0.062258
+0.0626363
+0.0630751
+0.0897177
+0.089324
+0.0889826
+0.0886887
+0.0882896
+0.0869625
+0.0856709
+0.0844163
+0.083195
+0.0820111
+0.0808691
+0.0793499
+0.0778133
+0.0763085
+0.0748377
+0.0734028
+0.0720059
+0.0706494
+0.0693355
+0.0680669
+0.0668459
+0.0656753
+0.0645579
+0.0634964
+0.0624937
+0.0615442
+0.0606522
+0.0598272
+0.059072
+0.0583893
+0.0577816
+0.0572513
+0.0568006
+0.0564314
+0.0561454
+0.0559437
+0.0558273
+0.0557968
+0.0558489
+0.0559735
+0.0561833
+0.0564773
+0.0568517
+0.0573059
+0.0560706
+0.0546695
+0.0533216
+0.0518637
+0.0503936
+0.0489775
+0.0476047
+0.0462911
+0.0450459
+0.0438747
+0.0427837
+0.0417792
+0.0408675
+0.040055
+0.038892
+0.0377999
+0.036788
+0.0358746
+0.0350744
+0.0343953
+0.0338446
+0.0334287
+0.0331526
+0.0330191
+0.0330033
+0.0331327
+0.0334055
+0.0338183
+0.0343661
+0.0348899
+0.0349552
+0.0351573
+0.0354936
+0.0359605
+0.0365434
+0.0372391
+0.0380484
+0.0389642
+0.0399725
+0.0410718
+0.0422561
+0.0435186
+0.0448526
+0.046252
+0.0477109
+0.0492241
+0.0507867
+0.0523943
+0.0540412
+0.0557252
+0.0574434
+0.0591928
+0.0608246
+0.0623889
+0.0632197
+0.0636544
+0.0908458
+0.0904571
+0.0901169
+0.0898112
+0.0895582
+0.0886775
+0.0874111
+0.0861791
+0.0849803
+0.0838215
+0.0824074
+0.0808695
+0.0793622
+0.0778874
+0.076447
+0.0750428
+0.0736771
+0.0723519
+0.0710695
+0.0698323
+0.0686428
+0.0675034
+0.0664167
+0.0653854
+0.0644118
+0.0634851
+0.0626209
+0.0618222
+0.0610916
+0.0604317
+0.0598447
+0.0593329
+0.0588981
+0.0585422
+0.0582665
+0.0580722
+0.0579601
+0.0579306
+0.0579802
+0.0581002
+0.0583023
+0.0585857
+0.0589474
+0.0578879
+0.0562344
+0.0546187
+0.0530442
+0.0515149
+0.0500347
+0.0485958
+0.0472082
+0.0458833
+0.0446266
+0.0434442
+0.0423421
+0.0413268
+0.0404049
+0.0395781
+0.0383807
+0.0372737
+0.0362471
+0.0353197
+0.0345066
+0.0338161
+0.0332558
+0.0328325
+0.0325514
+0.0324153
+0.0323992
+0.032531
+0.0328088
+0.0332291
+0.0337864
+0.034292
+0.0343585
+0.034564
+0.0349061
+0.0353807
+0.035973
+0.0366795
+0.0374941
+0.0384149
+0.039436
+0.0405499
+0.0417491
+0.0430264
+0.0443752
+0.0457891
+0.0472623
+0.0487881
+0.0503621
+0.0519806
+0.0536399
+0.0553361
+0.057066
+0.0588266
+0.0604836
+0.0620565
+0.063666
+0.0643033
+0.0920092
+0.0916154
+0.0912723
+0.0909705
+0.0907207
+0.090413
+0.0891709
+0.0879584
+0.0867841
+0.0854677
+0.0839287
+0.0824192
+0.0809408
+0.0794953
+0.0780845
+0.0767104
+0.0753748
+0.07408
+0.0728281
+0.0716213
+0.0704619
+0.0693524
+0.0682952
+0.0672927
+0.0663417
+0.0654419
+0.0646038
+0.0638299
+0.0631226
+0.0624841
+0.0619166
+0.0614221
+0.0610022
+0.0606586
+0.0603926
+0.0602051
+0.060097
+0.0600686
+0.0601157
+0.0602314
+0.0604264
+0.0606999
+0.0593402
+0.0576451
+0.0559844
+0.0543613
+0.0527792
+0.0512419
+0.0497536
+0.0483069
+0.0469108
+0.0455772
+0.0443119
+0.0431208
+0.0420102
+0.0409867
+0.040057
+0.0391984
+0.0379891
+0.0368703
+0.0358322
+0.0348937
+0.0340705
+0.0333709
+0.0328031
+0.0323738
+0.0320887
+0.0319507
+0.0319343
+0.032068
+0.0323498
+0.032776
+0.0333409
+0.0338255
+0.033893
+0.0341013
+0.0344479
+0.0349288
+0.0355133
+0.03622
+0.0370431
+0.0379748
+0.0390074
+0.0401332
+0.0413445
+0.0426339
+0.0439948
+0.0454205
+0.0469053
+0.0484424
+0.0500272
+0.0516562
+0.0533256
+0.0550315
+0.0567707
+0.0585402
+0.0602205
+0.0618001
+0.0634161
+0.0650195
+0.0931927
+0.0928038
+0.0924651
+0.0921673
+0.0919207
+0.0917258
+0.0909445
+0.0897558
+0.0885307
+0.0869907
+0.0854791
+0.0839975
+0.0825473
+0.0811305
+0.0797486
+0.0784036
+0.0770974
+0.075832
+0.0746095
+0.073432
+0.0723017
+0.0712209
+0.0701918
+0.0692166
+0.0682868
+0.067413
+0.0665997
+0.0658493
+0.0651639
+0.0645457
+0.0639965
+0.0635181
+0.0631122
+0.0627801
+0.0625231
+0.0623421
+0.0622376
+0.0622102
+0.062255
+0.0623668
+0.0625551
+0.0609156
+0.0591845
+0.0574848
+0.0558194
+0.0541913
+0.0526041
+0.0510615
+0.0495678
+0.0481161
+0.0467143
+0.045375
+0.0441038
+0.0429069
+0.0417907
+0.0407617
+0.0398267
+0.0389385
+0.0377208
+0.0365938
+0.0355476
+0.0346014
+0.0337711
+0.0330652
+0.032492
+0.0320586
+0.0317706
+0.0316312
+0.0316147
+0.0317498
+0.0320344
+0.0324646
+0.0330349
+0.03347
+0.0335382
+0.0337487
+0.0340989
+0.0345842
+0.0351734
+0.0358869
+0.0367174
+0.0376572
+0.0386983
+0.0398328
+0.0410529
+0.0423513
+0.0437209
+0.0451553
+0.0466486
+0.0481938
+0.0497865
+0.0514232
+0.0530998
+0.0548128
+0.0565587
+0.0583346
+0.0600362
+0.0616205
+0.0632411
+0.0648951
+0.0944122
+0.0940283
+0.0936941
+0.0934001
+0.0931568
+0.0929645
+0.0927357
+0.0915703
+0.0900552
+0.0885417
+0.087057
+0.0856027
+0.0841803
+0.0827913
+0.0814377
+0.080121
+0.0788433
+0.0776064
+0.0764122
+0.0752629
+0.0741605
+0.0731072
+0.072105
+0.0711511
+0.0702465
+0.0693974
+0.0686076
+0.0678794
+0.0672147
+0.0666155
+0.0660834
+0.0656203
+0.0652275
+0.0649062
+0.0646577
+0.0644826
+0.0643817
+0.0643552
+0.0643978
+0.0643929
+0.0626047
+0.0608428
+0.0591097
+0.0574078
+0.05574
+0.0541095
+0.0525198
+0.0509747
+0.0494692
+0.0480093
+0.0466068
+0.0452668
+0.0439952
+0.042798
+0.0416797
+0.0406475
+0.0397095
+0.0388007
+0.0375785
+0.0364471
+0.0353904
+0.0344399
+0.0336056
+0.0328962
+0.03232
+0.0318842
+0.0315946
+0.0314435
+0.0314269
+0.0315627
+0.031849
+0.0322818
+0.0328552
+0.0332538
+0.0333224
+0.0335343
+0.0338867
+0.0343751
+0.0349678
+0.0356854
+0.0365205
+0.0374652
+0.0385115
+0.0396513
+0.0408769
+0.0421806
+0.0435557
+0.0449953
+0.0464937
+0.0480439
+0.0496414
+0.0512828
+0.0529639
+0.0546811
+0.056431
+0.0582109
+0.0599314
+0.0615185
+0.0631416
+0.0647982
+0.0956662
+0.0952874
+0.0949576
+0.0946676
+0.0944276
+0.0942379
+0.0940988
+0.0931219
+0.0916067
+0.0901193
+0.088661
+0.0872334
+0.085838
+0.0844764
+0.0831501
+0.081861
+0.0806109
+0.0794015
+0.0782348
+0.0771126
+0.0760371
+0.0750101
+0.0740336
+0.0730996
+0.0722194
+0.0713937
+0.0706263
+0.0699191
+0.069274
+0.0686927
+0.0681769
+0.0677281
+0.0673476
+0.0670365
+0.0667959
+0.0666264
+0.0665287
+0.0665031
+0.0662103
+0.0643987
+0.0626106
+0.060849
+0.0591159
+0.0574142
+0.0557467
+0.0541164
+0.0525269
+0.0509704
+0.0494579
+0.0479977
+0.0465948
+0.0452545
+0.0439825
+0.042785
+0.0416663
+0.0406338
+0.0396954
+0.0387859
+0.0375619
+0.0364072
+0.0353485
+0.0343968
+0.0335614
+0.0328511
+0.032274
+0.0318376
+0.0315476
+0.0313963
+0.0313797
+0.0315157
+0.0318024
+0.0322358
+0.03281
+0.0331812
+0.03325
+0.0334623
+0.0338155
+0.0343048
+0.0348987
+0.0356177
+0.0364543
+0.0374007
+0.0384488
+0.0395904
+0.0408178
+0.0421234
+0.0435002
+0.0449417
+0.0464418
+0.0479937
+0.0495928
+0.0512357
+0.0529183
+0.0546369
+0.0563883
+0.0581694
+0.0599009
+0.0614885
+0.0631123
+0.0647694
+0.0969536
+0.0965798
+0.0962544
+0.0959684
+0.0957316
+0.0955445
+0.0954073
+0.0946738
+0.0931839
+0.091722
+0.0902897
+0.0888882
+0.0875192
+0.0861841
+0.0848846
+0.0836222
+0.0823988
+0.081216
+0.0800757
+0.0789798
+0.07793
+0.0769283
+0.0759718
+0.0750614
+0.0742045
+0.0734012
+0.072655
+0.0719677
+0.0713411
+0.0707768
+0.0702763
+0.069841
+0.069472
+0.0691705
+0.0689373
+0.0687732
+0.0686785
+0.0681133
+0.0662811
+0.0644713
+0.0626858
+0.0609267
+0.0591965
+0.0574976
+0.0558331
+0.0542059
+0.0526115
+0.0510536
+0.0495436
+0.048086
+0.0466858
+0.0453481
+0.0440789
+0.042884
+0.041768
+0.0407381
+0.0398022
+0.0388713
+0.0376501
+0.0364982
+0.0354421
+0.0344931
+0.03366
+0.0329518
+0.0323766
+0.0319416
+0.0316526
+0.0315017
+0.0314851
+0.0316207
+0.0319065
+0.0323385
+0.0329109
+0.0332489
+0.0333175
+0.0335294
+0.0338819
+0.0343706
+0.034967
+0.0356847
+0.0365198
+0.0374645
+0.0385108
+0.0396507
+0.0408762
+0.04218
+0.0435551
+0.0449948
+0.0464931
+0.0480434
+0.0496409
+0.0512822
+0.0529634
+0.0546806
+0.0564306
+0.0582104
+0.0599407
+0.0615273
+0.0631501
+0.0648062
+0.0981416
+0.0978958
+0.0975762
+0.097294
+0.0970604
+0.0968758
+0.0967405
+0.0962506
+0.0947854
+0.0933487
+0.0919417
+0.0905658
+0.0892225
+0.0879133
+0.0866397
+0.0854033
+0.0842057
+0.0830487
+0.0819339
+0.0808631
+0.0798381
+0.0788606
+0.077923
+0.0770356
+0.0762009
+0.0754189
+0.0746928
+0.0740245
+0.0734155
+0.0728672
+0.0723812
+0.0719586
+0.0716005
+0.071308
+0.0710818
+0.0709226
+0.0700952
+0.0682459
+0.0664173
+0.0646113
+0.0628298
+0.0610749
+0.0593489
+0.0576546
+0.0559947
+0.0543724
+0.0527831
+0.0512304
+0.0497258
+0.0482737
+0.046879
+0.0455471
+0.0442835
+0.0430943
+0.0419839
+0.0409594
+0.0400287
+0.0390795
+0.037865
+0.0367198
+0.0356704
+0.0347275
+0.0339003
+0.0331972
+0.0326263
+0.0321946
+0.0319079
+0.0317582
+0.0317418
+0.0318763
+0.0321598
+0.0325884
+0.0331565
+0.0334365
+0.0335047
+0.0337154
+0.034066
+0.0345522
+0.0351578
+0.0358716
+0.0367025
+0.0376426
+0.0386841
+0.039819
+0.0410396
+0.0423383
+0.0437084
+0.0451432
+0.0466368
+0.0481837
+0.0497791
+0.0514182
+0.0530972
+0.0548118
+0.0565578
+0.0583337
+0.0600605
+0.061644
+0.0632637
+0.064917
+0.0992599
+0.0990168
+0.0988217
+0.0986481
+0.0984178
+0.0982357
+0.0981023
+0.097851
+0.0964102
+0.094998
+0.0936158
+0.0922649
+0.0909467
+0.0896626
+0.0884142
+0.087203
+0.0860305
+0.0848983
+0.0838082
+0.0827616
+0.0817604
+0.0808019
+0.0798865
+0.0790212
+0.0782077
+0.0774459
+0.076739
+0.0760887
+0.0754963
+0.0749633
+0.0744909
+0.0740804
+0.0737326
+0.0734486
+0.073229
+0.0721556
+0.0702923
+0.0684483
+0.0666253
+0.0648251
+0.0630496
+0.061301
+0.0595816
+0.0578941
+0.0562412
+0.0546263
+0.0530446
+0.0514998
+0.0500033
+0.0485595
+0.0471733
+0.0458499
+0.0445949
+0.0434121
+0.0423088
+0.0412923
+0.0403693
+0.0394085
+0.0382045
+0.0370698
+0.0360306
+0.0350974
+0.0342791
+0.0335839
+0.0330197
+0.0325933
+0.0323101
+0.0321623
+0.0321461
+0.0322789
+0.0325589
+0.0329823
+0.0335437
+0.0337656
+0.0338331
+0.0340418
+0.034389
+0.0348707
+0.0354636
+0.0361713
+0.0369954
+0.0379283
+0.0389622
+0.0400892
+0.0413018
+0.0425925
+0.0439547
+0.0453817
+0.0468677
+0.0484073
+0.0499954
+0.0516277
+0.0533001
+0.0550089
+0.0567507
+0.0585228
+0.0602597
+0.0618381
+0.0634529
+0.0651013
+0.100406
+0.100166
+0.0999731
+0.0998279
+0.0997223
+0.0996253
+0.0994937
+0.0994102
+0.0980569
+0.0966688
+0.0953108
+0.0939843
+0.0926905
+0.091431
+0.0902071
+0.0890202
+0.087872
+0.0867639
+0.0856974
+0.0846743
+0.0836959
+0.0827552
+0.0818616
+0.0810174
+0.0802242
+0.0794817
+0.0787931
+0.0781598
+0.0775833
+0.0770647
+0.0766053
+0.0762061
+0.0758681
+0.0755921
+0.0742882
+0.0724134
+0.0705569
+0.06872
+0.0669044
+0.0651119
+0.0633445
+0.0616042
+0.0598936
+0.0582151
+0.0565716
+0.0549663
+0.0533949
+0.0518605
+0.0503747
+0.0489417
+0.0475639
+0.0462489
+0.0450021
+0.0438294
+0.0427369
+0.0417308
+0.0408177
+0.0398555
+0.0386654
+0.0375446
+0.0365189
+0.0355985
+0.034792
+0.0341072
+0.0335518
+0.0331323
+0.0328537
+0.0327084
+0.0326924
+0.032823
+0.0330984
+0.033515
+0.0340677
+0.0342319
+0.0342985
+0.0345044
+0.034847
+0.0353225
+0.0359006
+0.0365999
+0.0374146
+0.0383373
+0.0393604
+0.0404763
+0.0416776
+0.0429571
+0.044308
+0.045724
+0.0471993
+0.0487284
+0.0503064
+0.0519289
+0.0535919
+0.0552916
+0.0570249
+0.0587887
+0.0605376
+0.0621089
+0.0637169
+0.0653587
+0.101585
+0.101347
+0.101157
+0.101013
+0.100911
+0.100853
+0.100843
+0.100831
+0.0997246
+0.09836
+0.0970257
+0.095723
+0.0944531
+0.0932173
+0.0920172
+0.090854
+0.0897292
+0.0886443
+0.0876008
+0.0866001
+0.0856398
+0.08472
+0.0838474
+0.0830234
+0.0822495
+0.0815255
+0.0808543
+0.0802373
+0.0796758
+0.0791709
+0.0787238
+0.0783354
+0.0780066
+0.0764868
+0.074603
+0.0727363
+0.0708882
+0.0690602
+0.0672538
+0.0654708
+0.0637134
+0.0619835
+0.0602836
+0.0586162
+0.0569843
+0.055391
+0.0538311
+0.0523071
+0.0508317
+0.0494095
+0.0480451
+0.0467436
+0.0455103
+0.0443511
+0.0432717
+0.0422785
+0.0413774
+0.0404164
+0.0392433
+0.0381395
+0.0371302
+0.0362254
+0.0354331
+0.034761
+0.0342162
+0.0338049
+0.0335319
+0.0333896
+0.0333739
+0.0335019
+0.0337717
+0.0341801
+0.0347222
+0.03483
+0.0348955
+0.0350979
+0.0354348
+0.0358962
+0.0364642
+0.0371529
+0.0379557
+0.0388656
+0.0398752
+0.0409771
+0.0421641
+0.0434293
+0.0447659
+0.0461679
+0.0476294
+0.0491451
+0.0507102
+0.0523201
+0.0539711
+0.0556592
+0.0573814
+0.0591346
+0.0608931
+0.0624555
+0.0640547
+0.065688
+0.102797
+0.102562
+0.102374
+0.102232
+0.102132
+0.102075
+0.102065
+0.102102
+0.101412
+0.100071
+0.0987595
+0.0974799
+0.0962331
+0.0950205
+0.0938434
+0.0927032
+0.0916011
+0.0905387
+0.0895172
+0.0885382
+0.0875948
+0.0866957
+0.0858431
+0.0850385
+0.0842831
+0.0835767
+0.0829221
+0.0823206
+0.0817734
+0.0812816
+0.0808461
+0.080468
+0.078746
+0.0768551
+0.0749805
+0.0731234
+0.0712854
+0.0694678
+0.0676723
+0.0659007
+0.0641546
+0.0624365
+0.0607488
+0.0590941
+0.0574753
+0.0558955
+0.0543451
+0.0528359
+0.0513758
+0.049969
+0.0486203
+0.0473346
+0.0461172
+0.0449736
+0.0439095
+0.042931
+0.0420439
+0.0410865
+0.0399332
+0.038849
+0.0378586
+0.0369716
+0.0361957
+0.035538
+0.0350053
+0.0346034
+0.0343367
+0.0341977
+0.0341825
+0.0343074
+0.034571
+0.03497
+0.0355001
+0.0355521
+0.0356163
+0.0358146
+0.0361448
+0.0365913
+0.0371487
+0.0378249
+0.0386138
+0.0395085
+0.040502
+0.0415873
+0.0427574
+0.0440055
+0.0453252
+0.0467104
+0.0481554
+0.0496551
+0.0512045
+0.0527995
+0.0544358
+0.05611
+0.0578187
+0.059559
+0.0613248
+0.0628765
+0.0644652
+0.0660885
+0.104041
+0.103809
+0.103623
+0.103483
+0.103386
+0.103329
+0.103319
+0.103356
+0.103119
+0.1018
+0.100511
+0.099254
+0.0980298
+0.0968398
+0.0956851
+0.094567
+0.0934869
+0.0924461
+0.091446
+0.0904842
+0.0895606
+0.0886815
+0.0878482
+0.0870621
+0.0863244
+0.0856348
+0.0849961
+0.0844094
+0.0838758
+0.0833964
+0.0829713
+0.0810605
+0.079164
+0.0772829
+0.0754186
+0.0735722
+0.0717453
+0.0699392
+0.0681557
+0.0663966
+0.0646638
+0.0629596
+0.0612863
+0.0596465
+0.0580431
+0.0564786
+0.0549418
+0.0534494
+0.0520064
+0.0506172
+0.0492863
+0.0480184
+0.0468188
+0.0456927
+0.0446458
+0.0436838
+0.0428123
+0.0418608
+0.0407293
+0.0396669
+0.0386975
+0.0378301
+0.0370722
+0.0364303
+0.0359109
+0.0355192
+0.0352595
+0.0351241
+0.0351093
+0.0352309
+0.0354876
+0.0358765
+0.0363933
+0.0363709
+0.0364336
+0.0366275
+0.0369504
+0.0373991
+0.0379474
+0.0386097
+0.0393828
+0.0402604
+0.0412359
+0.0423024
+0.0434532
+0.0446819
+0.0459821
+0.0473481
+0.0487742
+0.0502554
+0.051787
+0.0533645
+0.054984
+0.056642
+0.0583352
+0.0600605
+0.0618153
+0.0633704
+0.0649471
+0.0665586
+0.105316
+0.105087
+0.104903
+0.104764
+0.10467
+0.104614
+0.104604
+0.10464
+0.104722
+0.103546
+0.10228
+0.101045
+0.0998423
+0.0986741
+0.0975411
+0.0964446
+0.0953857
+0.0943659
+0.0933863
+0.0924406
+0.0915367
+0.0906767
+0.0898619
+0.0890936
+0.0883729
+0.0876994
+0.0870758
+0.0865032
+0.0859826
+0.085338
+0.0834236
+0.0815231
+0.0796375
+0.0777679
+0.0759154
+0.0740815
+0.0722674
+0.0704747
+0.0687051
+0.0669604
+0.0652426
+0.0635539
+0.0618967
+0.0602736
+0.0586873
+0.0571372
+0.0556183
+0.0541446
+0.0527207
+0.0513508
+0.0500394
+0.0487911
+0.0476109
+0.046504
+0.0454758
+0.0445317
+0.0436772
+0.0427334
+0.0416257
+0.0405867
+0.0396398
+0.0387935
+0.0380548
+0.0374298
+0.0369244
+0.0365435
+0.0362912
+0.0361597
+0.0361453
+0.0362634
+0.0365129
+0.036891
+0.0373677
+0.0373003
+0.0373615
+0.0375506
+0.0378656
+0.0383036
+0.0388534
+0.0395005
+0.0402565
+0.0411155
+0.0420711
+0.0431169
+0.0442466
+0.0454538
+0.0467326
+0.0480773
+0.0494824
+0.050943
+0.0524545
+0.0540125
+0.0556132
+0.057253
+0.0589285
+0.060637
+0.0623756
+0.0639357
+0.0654988
+0.067097
+0.10662
+0.106394
+0.106212
+0.106076
+0.105984
+0.105929
+0.105919
+0.105955
+0.106036
+0.105309
+0.104064
+0.102851
+0.10167
+0.100523
+0.0994107
+0.0983351
+0.0972968
+0.0962972
+0.0953342
+0.0944072
+0.0935223
+0.0926807
+0.0918837
+0.0911324
+0.090428
+0.0897699
+0.0891608
+0.0886017
+0.0877499
+0.0858333
+0.0839302
+0.0820414
+0.0801681
+0.0783111
+0.0764719
+0.0746516
+0.0728517
+0.0710738
+0.0693194
+0.0675906
+0.0658893
+0.0642176
+0.0625779
+0.0609685
+0.0593957
+0.0578631
+0.0563644
+0.0549106
+0.0535071
+0.0521579
+0.0508673
+0.0496398
+0.0484803
+0.0473938
+0.0463853
+0.0454601
+0.0446233
+0.0436985
+0.0426155
+0.0416001
+0.040676
+0.0398509
+0.0391311
+0.0385226
+0.0380308
+0.0376602
+0.0374143
+0.0372881
+0.0372741
+0.0373887
+0.0376307
+0.0379976
+0.0383981
+0.0383326
+0.0383921
+0.0385761
+0.0388829
+0.0393095
+0.0398522
+0.0404904
+0.0412282
+0.0420674
+0.0430018
+0.0440256
+0.0451325
+0.0463166
+0.0475722
+0.0488938
+0.0502761
+0.0517143
+0.0532039
+0.0547405
+0.0563206
+0.0579403
+0.0595966
+0.0612864
+0.0630071
+0.0645704
+0.0661185
+0.067702
+0.107954
+0.10773
+0.107551
+0.107416
+0.107325
+0.107271
+0.107261
+0.107297
+0.107376
+0.107088
+0.105864
+0.104671
+0.103511
+0.102385
+0.101293
+0.100238
+0.0992194
+0.0982394
+0.0972916
+0.0963834
+0.0955169
+0.0946931
+0.0939131
+0.0931782
+0.0924893
+0.091846
+0.0912508
+0.0902037
+0.088286
+0.0863814
+0.0844907
+0.0826147
+0.0807546
+0.0789115
+0.0770866
+0.0752811
+0.0734967
+0.0717347
+0.069997
+0.0682853
+0.066601
+0.0649429
+0.0633173
+0.0617266
+0.0601736
+0.0586614
+0.0571835
+0.0557512
+0.0543694
+0.0530421
+0.0517735
+0.0505681
+0.0494303
+0.0483651
+0.0473773
+0.0464718
+0.0456536
+0.0447495
+0.0436737
+0.042682
+0.0417816
+0.0409788
+0.0402792
+0.0396883
+0.0392111
+0.0388517
+0.0386134
+0.0384906
+0.0384771
+0.0385881
+0.0388226
+0.0391784
+0.0395232
+0.0394595
+0.0395174
+0.0396962
+0.0399944
+0.0404093
+0.0409374
+0.0415721
+0.0422912
+0.0431096
+0.044022
+0.0450225
+0.0461055
+0.0472653
+0.0484963
+0.0497934
+0.0511514
+0.0525656
+0.0540317
+0.0555455
+0.0571033
+0.0587014
+0.0603368
+0.0620065
+0.0637077
+0.0652724
+0.0668043
+0.0683719
+0.109314
+0.109094
+0.108917
+0.108784
+0.108694
+0.108641
+0.108631
+0.108666
+0.108745
+0.108867
+0.107678
+0.106506
+0.105366
+0.10426
+0.103188
+0.102152
+0.101153
+0.100189
+0.0992588
+0.0983688
+0.0975199
+0.0967131
+0.0959496
+0.0952304
+0.0945565
+0.0939274
+0.0926961
+0.0907783
+0.088873
+0.0869813
+0.0851038
+0.0832417
+0.0813959
+0.0795677
+0.0777581
+0.0759687
+0.0742007
+0.0724559
+0.070734
+0.0690362
+0.0673669
+0.0657282
+0.0641225
+0.0625523
+0.0610203
+0.0595296
+0.0580738
+0.056664
+0.055305
+0.0540007
+0.0527552
+0.0515727
+0.0504576
+0.0494145
+0.0484481
+0.0475631
+0.046764
+0.0458628
+0.0448125
+0.0438465
+0.0429706
+0.0421903
+0.0415111
+0.040938
+0.0404756
+0.0401275
+0.0398969
+0.0397775
+0.0397644
+0.0398719
+0.0400989
+0.0404434
+0.0407352
+0.0406734
+0.0407295
+0.040903
+0.0411924
+0.0415954
+0.0421086
+0.0427281
+0.0434387
+0.0442359
+0.0451255
+0.0461021
+0.0471603
+0.0482948
+0.0495002
+0.0507716
+0.0521041
+0.0534932
+0.0549345
+0.0564241
+0.0579583
+0.0595335
+0.0611466
+0.0627947
+0.0644752
+0.0660397
+0.0675542
+0.0691048
+0.110702
+0.110484
+0.110309
+0.110178
+0.110089
+0.110037
+0.110027
+0.110061
+0.110139
+0.110261
+0.109506
+0.108354
+0.107233
+0.106147
+0.105094
+0.104077
+0.103097
+0.102147
+0.101235
+0.100363
+0.0995308
+0.0987405
+0.0979928
+0.0972887
+0.0966291
+0.0952241
+0.0933068
+0.0914017
+0.0895098
+0.0876318
+0.0857686
+0.0839212
+0.0820907
+0.0802783
+0.0784851
+0.0767126
+0.0749594
+0.0732285
+0.0715228
+0.0698442
+0.0681947
+0.0665763
+0.0649916
+0.0634429
+0.061933
+0.0604647
+0.059032
+0.0576456
+0.0563103
+0.0550299
+0.0538082
+0.0526493
+0.0515575
+0.0505372
+0.0495927
+0.0487284
+0.0479487
+0.0470506
+0.0460274
+0.0450874
+0.0442361
+0.0434786
+0.0428198
+0.0422645
+0.0418167
+0.0414799
+0.0412568
+0.0411409
+0.0411282
+0.0412321
+0.0414517
+0.0417851
+0.0420264
+0.0419665
+0.0420209
+0.0421891
+0.0424698
+0.0428607
+0.043359
+0.0439609
+0.0446622
+0.04544
+0.0463064
+0.0472586
+0.0482915
+0.0494
+0.0505791
+0.0518241
+0.0531302
+0.0544931
+0.0559087
+0.057373
+0.0588824
+0.0604335
+0.0620232
+0.0636487
+0.0653071
+0.06687
+0.0683661
+0.0698987
+0.112115
+0.1119
+0.111727
+0.111598
+0.11151
+0.111458
+0.111449
+0.111483
+0.11156
+0.111679
+0.111347
+0.110214
+0.109113
+0.108045
+0.107011
+0.106013
+0.105048
+0.104115
+0.10322
+0.102365
+0.101549
+0.100775
+0.100042
+0.0993526
+0.0977849
+0.0958687
+0.0939646
+0.0920731
+0.0901953
+0.0883318
+0.0864837
+0.0846519
+0.0828376
+0.0810417
+0.0792622
+0.0775036
+0.0757675
+0.0740555
+0.0723694
+0.0707108
+0.069082
+0.067485
+0.065922
+0.0643957
+0.0629087
+0.0614637
+0.0600549
+0.0586927
+0.0573817
+0.0561257
+0.0549284
+0.0537937
+0.0527256
+0.0517283
+0.0508059
+0.0499627
+0.0492025
+0.0483086
+0.0473126
+0.0463987
+0.0455718
+0.0448369
+0.0441984
+0.0436606
+0.0432272
+0.0429015
+0.0426859
+0.0425734
+0.0425612
+0.0426616
+0.0428738
+0.0431962
+0.0433882
+0.0433301
+0.0433828
+0.0435457
+0.0438177
+0.0441968
+0.0446801
+0.0452645
+0.0459459
+0.0467158
+0.047559
+0.0484866
+0.0494939
+0.050576
+0.0517283
+0.0529462
+0.0542253
+0.0555614
+0.0569504
+0.0583886
+0.0598724
+0.0613986
+0.0629639
+0.0645657
+0.0662012
+0.067761
+0.0692378
+0.0707516
+0.113553
+0.113341
+0.11317
+0.113042
+0.112956
+0.112904
+0.112895
+0.112929
+0.113005
+0.113123
+0.113201
+0.112086
+0.111004
+0.109954
+0.108939
+0.107958
+0.107007
+0.106091
+0.105213
+0.104374
+0.103574
+0.102815
+0.102097
+0.100376
+0.0984615
+0.0965588
+0.0946685
+0.0927914
+0.0909284
+0.0890803
+0.087248
+0.0854317
+0.0836307
+0.0818487
+0.0800869
+0.0783468
+0.0766298
+0.0749375
+0.0732716
+0.071634
+0.0700267
+0.0684516
+0.0669113
+0.0654081
+0.0639446
+0.0625236
+0.0611392
+0.0598016
+0.0585156
+0.0572844
+0.0561118
+0.0550015
+0.0539574
+0.0529833
+0.0520831
+0.0512609
+0.0505203
+0.0496315
+0.0486625
+0.0477744
+0.0469718
+0.0462591
+0.0456405
+0.0451199
+0.0447007
+0.0443858
+0.0441774
+0.0440683
+0.0440565
+0.0441535
+0.0443586
+0.0446703
+0.0448149
+0.0447587
+0.0448097
+0.0449675
+0.0452309
+0.0455982
+0.0460668
+0.0466338
+0.0472955
+0.0480481
+0.0488777
+0.0497808
+0.0507623
+0.051818
+0.0529433
+0.0541339
+0.0553856
+0.0566943
+0.0580562
+0.0594676
+0.0609252
+0.0624256
+0.0639658
+0.0655431
+0.0671548
+0.0687103
+0.0701671
+0.0716612
+0.115015
+0.114805
+0.114637
+0.11451
+0.114425
+0.114374
+0.114365
+0.114398
+0.114473
+0.11459
+0.114748
+0.11397
+0.112906
+0.111874
+0.110876
+0.10991
+0.108975
+0.108076
+0.107214
+0.106391
+0.105606
+0.104862
+0.102995
+0.101083
+0.0991819
+0.0972932
+0.0954175
+0.0935555
+0.091708
+0.0898741
+0.0880549
+0.086253
+0.0844695
+0.0827055
+0.0809624
+0.0792416
+0.0775444
+0.0758725
+0.0742276
+0.0726116
+0.0710263
+0.069474
+0.0679568
+0.0664772
+0.0650378
+0.0636412
+0.0622816
+0.0609692
+0.0597083
+0.0585022
+0.0573546
+0.0562688
+0.0552486
+0.0542976
+0.0534196
+0.0526183
+0.051897
+0.0510141
+0.0500719
+0.0492093
+0.0484305
+0.0477395
+0.0471404
+0.0466365
+0.0462311
+0.0459266
+0.0457253
+0.0456194
+0.045608
+0.0457017
+0.0458999
+0.0462012
+0.0463013
+0.0462469
+0.0462963
+0.046449
+0.0467041
+0.0470599
+0.0475141
+0.048064
+0.0487063
+0.0494374
+0.0502535
+0.051136
+0.0520921
+0.0531213
+0.0542195
+0.0553827
+0.0566068
+0.0578879
+0.0592224
+0.0606067
+0.0620375
+0.0635116
+0.0650261
+0.0665783
+0.0681655
+0.0697155
+0.0711517
+0.0726256
+0.116499
+0.116292
+0.116126
+0.116001
+0.115917
+0.115867
+0.115858
+0.115891
+0.115965
+0.11608
+0.116236
+0.115865
+0.114818
+0.113803
+0.112822
+0.11187
+0.110951
+0.110068
+0.109223
+0.108414
+0.107561
+0.10564
+0.10373
+0.101832
+0.0999451
+0.0980712
+0.0962106
+0.0943616
+0.092527
+0.0907081
+0.088906
+0.0871217
+0.0853563
+0.0836111
+0.0818873
+0.0801862
+0.0785095
+0.0768586
+0.0752352
+0.0736413
+0.0720787
+0.0705495
+0.069056
+0.0676005
+0.0661855
+0.0648136
+0.0634792
+0.062192
+0.0609564
+0.0597755
+0.0586528
+0.0575915
+0.0565951
+0.0556672
+0.0548111
+0.0540304
+0.0533283
+0.0524518
+0.0515359
+0.0506982
+0.0499426
+0.0492729
+0.0486926
+0.048205
+0.0478128
+0.0475185
+0.0473239
+0.0472213
+0.0472102
+0.0473008
+0.0474923
+0.0477835
+0.0478419
+0.0477893
+0.047837
+0.0479848
+0.0482318
+0.0485764
+0.0490166
+0.0495498
+0.0501731
+0.0508831
+0.0516764
+0.0525465
+0.0534773
+0.0544804
+0.0555518
+0.0566876
+0.0578841
+0.0591376
+0.0604445
+0.0618014
+0.0632051
+0.0646527
+0.066141
+0.0676676
+0.0692299
+0.0707743
+0.0721894
+0.0736426
+0.118006
+0.117801
+0.117637
+0.117514
+0.117431
+0.117382
+0.117373
+0.117405
+0.117478
+0.117592
+0.117746
+0.117769
+0.11674
+0.115742
+0.114775
+0.113838
+0.112935
+0.112068
+0.111238
+0.110227
+0.108309
+0.106402
+0.104506
+0.102622
+0.10075
+0.0988882
+0.0970402
+0.0952067
+0.0933887
+0.0915869
+0.0898024
+0.0880363
+0.0862896
+0.0845637
+0.0828597
+0.081179
+0.0795232
+0.0778938
+0.0762925
+0.0747211
+0.0731816
+0.0716759
+0.0702064
+0.0687752
+0.0673849
+0.0660379
+0.0647287
+0.0634669
+0.0622566
+0.0611009
+0.0600029
+0.0589659
+0.0579932
+0.057088
+0.0562536
+0.0554931
+0.0548097
+0.0539402
+0.05305
+0.0522366
+0.0515036
+0.0508544
+0.0502924
+0.0498204
+0.0494411
+0.0491565
+0.0489684
+0.0488688
+0.0488582
+0.0489456
+0.0491307
+0.0494124
+0.0494316
+0.0493806
+0.0494268
+0.0495699
+0.049809
+0.0501428
+0.0505694
+0.0510864
+0.0516911
+0.0523806
+0.0531515
+0.0539979
+0.0549042
+0.0558816
+0.0569266
+0.0580356
+0.0592048
+0.0604309
+0.0617104
+0.0630401
+0.0644168
+0.0658377
+0.0672999
+0.0688008
+0.0703379
+0.0718806
+0.073278
+0.0747099
+0.104753
+0.103471
+0.10222
+0.100999
+0.0998117
+0.0985607
+0.097299
+0.0960702
+0.0948695
+0.0937047
+0.0925603
+0.0914137
+0.0902992
+0.0892245
+0.0881912
+0.0871841
+0.0861675
+0.0851632
+0.0841483
+0.083173
+0.0822445
+0.0813645
+0.0805344
+0.0797559
+0.0789578
+0.0781558
+0.0773923
+0.0766025
+0.0758677
+0.0751638
+0.0741273
+0.0731331
+0.0721918
+0.0712985
+0.0704422
+0.0696249
+0.0688676
+0.0681715
+0.0675331
+0.0669603
+0.0664548
+0.0660058
+0.0656251
+0.0653158
+0.0650788
+0.0649149
+0.0643656
+0.0638278
+0.0633601
+0.0629368
+0.0625874
+0.0615991
+0.0606226
+0.0597106
+0.058866
+0.0580918
+0.0573908
+0.0567658
+0.0562192
+0.0557534
+0.0553688
+0.0549056
+0.0544202
+0.0540194
+0.053705
+0.0534786
+0.0533413
+0.0532937
+0.0533361
+0.0534497
+0.0531345
+0.0528988
+0.0527419
+0.0526475
+0.0526115
+0.0526579
+0.0527952
+0.0529543
+0.0532015
+0.0535374
+0.0538845
+0.054292
+0.0544454
+0.0544964
+0.0546352
+0.0548612
+0.0551659
+0.0555461
+0.0560094
+0.0565538
+0.0571771
+0.0578766
+0.0586496
+0.0594933
+0.0604047
+0.0613808
+0.0624186
+0.0635149
+0.064667
+0.0658717
+0.103466
+0.102168
+0.1009
+0.099665
+0.0984614
+0.0972922
+0.0960212
+0.0947764
+0.0935653
+0.092384
+0.09124
+0.0901
+0.0889742
+0.0878834
+0.0868341
+0.0858279
+0.0848282
+0.0838134
+0.0828118
+0.0818244
+0.0808804
+0.0799854
+0.0791408
+0.0783485
+0.0775715
+0.0767732
+0.0760112
+0.0752409
+0.0744927
+0.073802
+0.0728595
+0.0718478
+0.0708894
+0.0699865
+0.0691106
+0.068284
+0.0675148
+0.0668047
+0.0661531
+0.0655682
+0.0650519
+0.0645931
+0.0642041
+0.0638879
+0.0636277
+0.0629359
+0.0623089
+0.0617533
+0.0612711
+0.0608412
+0.0604796
+0.0597972
+0.0587908
+0.0578499
+0.0569777
+0.0561775
+0.0554523
+0.0548052
+0.0542389
+0.0537559
+0.0533586
+0.0529891
+0.0524861
+0.0520703
+0.0517441
+0.0515091
+0.0513665
+0.0513171
+0.0513612
+0.0513889
+0.0510763
+0.0508354
+0.0506722
+0.0505723
+0.0505395
+0.0505878
+0.0507286
+0.0508972
+0.0511544
+0.0515036
+0.0518476
+0.0522693
+0.0524699
+0.0525228
+0.0526668
+0.0529012
+0.0532226
+0.0536166
+0.0540964
+0.0546599
+0.0553045
+0.0560274
+0.0568256
+0.057696
+0.0586354
+0.0596404
+0.0607079
+0.0618346
+0.0630174
+0.0642531
+0.102209
+0.100895
+0.0996116
+0.0983602
+0.0971416
+0.0959564
+0.0947769
+0.0935155
+0.0922888
+0.0910969
+0.0899365
+0.088815
+0.0876801
+0.0865768
+0.0855115
+0.0844896
+0.0835127
+0.0824941
+0.0815091
+0.080511
+0.0795533
+0.0786431
+0.077784
+0.0769777
+0.076217
+0.0754289
+0.0746532
+0.073918
+0.0731549
+0.0724499
+0.0716362
+0.070607
+0.0696315
+0.0687121
+0.0678197
+0.0669772
+0.0661965
+0.0654797
+0.0648177
+0.0642206
+0.063693
+0.0632226
+0.0628251
+0.0623915
+0.0616183
+0.060909
+0.0602609
+0.0596863
+0.0591871
+0.0587524
+0.058378
+0.0579556
+0.0569843
+0.0560131
+0.0551118
+0.0542841
+0.0535333
+0.0528627
+0.0522753
+0.051774
+0.0513614
+0.0510261
+0.0505728
+0.0501412
+0.0498024
+0.0495581
+0.0494099
+0.0493585
+0.0494044
+0.0493393
+0.0490258
+0.0487781
+0.048613
+0.0485072
+0.048474
+0.0485243
+0.0486702
+0.0488517
+0.0491196
+0.0494763
+0.0498218
+0.0502605
+0.0505121
+0.050567
+0.0507166
+0.05096
+0.0512959
+0.0517079
+0.0522053
+0.052789
+0.0534562
+0.0542037
+0.0550284
+0.0559268
+0.0568953
+0.0579306
+0.059029
+0.0601872
+0.0614017
+0.0626692
+0.100985
+0.0996542
+0.0983546
+0.097087
+0.0958526
+0.0946524
+0.0934869
+0.0922894
+0.0910462
+0.0898393
+0.088668
+0.0875303
+0.0864168
+0.0853041
+0.0842252
+0.0831875
+0.0821951
+0.0812125
+0.0802117
+0.0792322
+0.0782649
+0.0773396
+0.0764659
+0.0756455
+0.0748802
+0.0741187
+0.0733338
+0.0726019
+0.0718479
+0.07113
+0.0704598
+0.0694132
+0.0684207
+0.0674848
+0.066576
+0.0657175
+0.0649216
+0.0641906
+0.0635214
+0.0629122
+0.062373
+0.0618927
+0.061287
+0.0604204
+0.0596217
+0.0588933
+0.0582233
+0.0576283
+0.0571112
+0.0566714
+0.0562747
+0.0558174
+0.0551986
+0.0542025
+0.0532707
+0.0524139
+0.0516359
+0.0509403
+0.0503305
+0.0498096
+0.0493806
+0.0490351
+0.0486829
+0.0482345
+0.0478821
+0.047628
+0.0474738
+0.0474203
+0.047468
+0.0473025
+0.0469879
+0.0467294
+0.0465659
+0.0464537
+0.046419
+0.0464716
+0.0466239
+0.0468181
+0.0470987
+0.0474505
+0.0478107
+0.0482677
+0.0485742
+0.0486313
+0.0487869
+0.0490399
+0.0493888
+0.0498225
+0.0503385
+0.0509436
+0.0516346
+0.0524082
+0.0532606
+0.0541883
+0.0551874
+0.0562541
+0.0573846
+0.0585753
+0.0598225
+0.0611228
+0.0997931
+0.0984466
+0.0971307
+0.0958469
+0.0945964
+0.0933806
+0.0922001
+0.0910559
+0.0898399
+0.0886165
+0.0874309
+0.086282
+0.0851687
+0.0840578
+0.0829714
+0.0819233
+0.0809153
+0.0799547
+0.0789539
+0.0779857
+0.0770114
+0.0760769
+0.0751885
+0.074354
+0.0735753
+0.0728317
+0.0720531
+0.071308
+0.0705848
+0.0698539
+0.0691847
+0.0682688
+0.0672595
+0.0663071
+0.065382
+0.0645076
+0.0636966
+0.0629514
+0.0622689
+0.0616473
+0.061098
+0.0603216
+0.0593601
+0.0584649
+0.0576391
+0.0568857
+0.0561972
+0.0555805
+0.0550442
+0.0545906
+0.0541552
+0.0536826
+0.0532791
+0.052421
+0.0514569
+0.0505694
+0.0497626
+0.0490404
+0.0484067
+0.0478649
+0.0474183
+0.0470618
+0.0467932
+0.0463528
+0.0459861
+0.0457214
+0.0455607
+0.045505
+0.0455547
+0.0452799
+0.0449645
+0.0446942
+0.04453
+0.0444133
+0.044377
+0.044432
+0.0445914
+0.0447934
+0.0450875
+0.04544
+0.045816
+0.0462927
+0.0466587
+0.0467182
+0.0468801
+0.0471433
+0.0475062
+0.047963
+0.0484988
+0.0491266
+0.0498428
+0.0506437
+0.0515254
+0.0524837
+0.0535146
+0.054614
+0.0557778
+0.057002
+0.0582829
+0.0596168
+0.0986325
+0.0972732
+0.0959413
+0.0946413
+0.0933747
+0.0921427
+0.0909468
+0.0897877
+0.0886666
+0.0874315
+0.0862296
+0.0850671
+0.0839425
+0.0828488
+0.0817463
+0.0806882
+0.0796753
+0.0786996
+0.0777374
+0.0767539
+0.0758002
+0.074853
+0.0739535
+0.0731049
+0.0723127
+0.0715789
+0.0708169
+0.0700587
+0.0693614
+0.068624
+0.0679427
+0.0671764
+0.0661504
+0.0651818
+0.0642405
+0.0633504
+0.0625244
+0.061765
+0.0610694
+0.0604354
+0.0595021
+0.058445
+0.0574521
+0.0565267
+0.0556722
+0.0548918
+0.0541839
+0.0535441
+0.0529871
+0.0525157
+0.0520408
+0.0515496
+0.051133
+0.0506086
+0.0496736
+0.0487536
+0.0479162
+0.0471658
+0.0465065
+0.0459423
+0.0454768
+0.0451087
+0.0448283
+0.0444995
+0.0441173
+0.0438414
+0.0436738
+0.0436156
+0.0436675
+0.0432738
+0.0429574
+0.0426745
+0.0424999
+0.0423879
+0.0423499
+0.0424075
+0.0425745
+0.0427848
+0.0430927
+0.043447
+0.04384
+0.0443379
+0.0447685
+0.0448304
+0.0449991
+0.0452733
+0.045651
+0.0461298
+0.0466894
+0.0473412
+0.048084
+0.0489137
+0.049826
+0.0508164
+0.0518805
+0.0530137
+0.0542119
+0.0554707
+0.0567862
+0.0581544
+0.097463
+0.0961345
+0.0947876
+0.0934716
+0.0921889
+0.0909408
+0.0897289
+0.0885546
+0.0874185
+0.0862858
+0.0850677
+0.0838892
+0.0827518
+0.0816536
+0.0805621
+0.0794882
+0.0784609
+0.0774818
+0.0765451
+0.0755655
+0.0746176
+0.0736715
+0.0727573
+0.0718946
+0.071089
+0.0703424
+0.0696267
+0.0688565
+0.0681468
+0.0674428
+0.0667495
+0.0661215
+0.0650962
+0.0641117
+0.0631544
+0.0622487
+0.0614079
+0.0606346
+0.0599259
+0.0588344
+0.057682
+0.056591
+0.055565
+0.0546076
+0.0537225
+0.0529134
+0.0521837
+0.0515203
+0.0509412
+0.0504507
+0.0499295
+0.0494216
+0.0489908
+0.0486463
+0.0478765
+0.0469698
+0.0461
+0.0453195
+0.044633
+0.0440448
+0.043559
+0.0431781
+0.0428853
+0.0426781
+0.0422794
+0.0419915
+0.0418164
+0.0417557
+0.0417179
+0.0412863
+0.0409676
+0.0406724
+0.0404814
+0.0403797
+0.0403398
+0.0404003
+0.0405756
+0.040795
+0.0411178
+0.0414738
+0.0418854
+0.0424061
+0.0429068
+0.0429715
+0.0431474
+0.0434332
+0.0438269
+0.0443254
+0.044914
+0.0455911
+0.046362
+0.047222
+0.0481663
+0.0491902
+0.0502886
+0.051457
+0.0526906
+0.0539849
+0.0553356
+0.0567389
+0.0963292
+0.0949848
+0.0936709
+0.092339
+0.0910403
+0.0897763
+0.0885485
+0.0873583
+0.0862074
+0.0850962
+0.083947
+0.0827525
+0.0815993
+0.0804892
+0.0794195
+0.0783312
+0.0772885
+0.0762944
+0.0753478
+0.0744226
+0.07346
+0.0725366
+0.0716082
+0.0707315
+0.0699125
+0.0691531
+0.0684555
+0.0677038
+0.0669819
+0.0663093
+0.0656077
+0.0649687
+0.0640995
+0.0630995
+0.0621266
+0.0612057
+0.0603504
+0.0595633
+0.0583239
+0.0570772
+0.0558886
+0.0547619
+0.0537009
+0.0527097
+0.0517922
+0.0509524
+0.0501943
+0.0495106
+0.0489078
+0.0483967
+0.047825
+0.0472994
+0.0468532
+0.0464928
+0.0460821
+0.0451917
+0.0443176
+0.0435052
+0.0427896
+0.0421757
+0.0416681
+0.0412707
+0.0409674
+0.0407763
+0.0404767
+0.0401758
+0.0399928
+0.0399294
+0.0397716
+0.0393205
+0.0389857
+0.0386836
+0.0384817
+0.0383915
+0.0383496
+0.0384131
+0.0385976
+0.0388269
+0.0391556
+0.0395236
+0.0399553
+0.0404955
+0.0410776
+0.0411451
+0.0413288
+0.0416272
+0.0420377
+0.0425572
+0.0431767
+0.0438807
+0.0446811
+0.0455728
+0.0465506
+0.0476092
+0.0487433
+0.0499478
+0.0512177
+0.0525483
+0.0539351
+0.0553738
+0.0952322
+0.0938721
+0.0925439
+0.0912449
+0.0899304
+0.0886506
+0.087407
+0.086201
+0.0850345
+0.0839089
+0.0828247
+0.0816587
+0.0804898
+0.0793642
+0.0782795
+0.077219
+0.076161
+0.075152
+0.0741911
+0.0732748
+0.0723502
+0.071427
+0.0705044
+0.0696179
+0.0687856
+0.0680137
+0.0673043
+0.0666008
+0.0658693
+0.0652008
+0.0645202
+0.0638703
+0.0631537
+0.0621481
+0.06116
+0.0602244
+0.0593428
+0.0579656
+0.0566357
+0.0553509
+0.0541244
+0.0529602
+0.0518623
+0.0508353
+0.0498833
+0.0490109
+0.0482222
+0.047517
+0.0468886
+0.0463552
+0.0457286
+0.0451837
+0.0447207
+0.0443429
+0.044071
+0.0433968
+0.0425629
+0.041727
+0.0409803
+0.040339
+0.039808
+0.0393918
+0.0390781
+0.0388778
+0.0387141
+0.0383993
+0.0382078
+0.0381414
+0.0378485
+0.0373737
+0.0370189
+0.036709
+0.036504
+0.0364095
+0.0363801
+0.0364471
+0.0366365
+0.0368838
+0.0372154
+0.0375999
+0.0380534
+0.0386136
+0.0392337
+0.039356
+0.039548
+0.0398597
+0.0402883
+0.04083
+0.0414805
+0.0422146
+0.043046
+0.0439709
+0.0449835
+0.0460782
+0.047249
+0.0484907
+0.0497978
+0.0511653
+0.0525886
+0.054063
+0.0941734
+0.0927978
+0.091454
+0.0901434
+0.0888607
+0.0875653
+0.086306
+0.0850845
+0.0839024
+0.0827614
+0.0816633
+0.0806059
+0.0794215
+0.0782806
+0.0771806
+0.0761078
+0.0750806
+0.0740569
+0.0730818
+0.0721514
+0.0712119
+0.0702994
+0.0694429
+0.0685521
+0.0677109
+0.0669266
+0.0662055
+0.0655469
+0.0648117
+0.0641322
+0.0634812
+0.062829
+0.0622386
+0.0612505
+0.0602576
+0.0592202
+0.0577571
+0.0563411
+0.0549761
+0.0536586
+0.0523924
+0.0511888
+0.0500521
+0.0489871
+0.0479985
+0.0470912
+0.0462698
+0.0455391
+0.0448854
+0.0442999
+0.0436415
+0.0430747
+0.0425926
+0.0421973
+0.0419114
+0.0416399
+0.0407702
+0.0399859
+0.0392101
+0.0385392
+0.0379831
+0.0375467
+0.0372218
+0.0370115
+0.0369301
+0.0366677
+0.0364671
+0.0363592
+0.0359538
+0.0354502
+0.0350759
+0.0347603
+0.0345492
+0.0344521
+0.0344362
+0.034507
+0.0346983
+0.0349613
+0.0353045
+0.0357052
+0.0361824
+0.036766
+0.0373919
+0.0376094
+0.0378103
+0.0381362
+0.0385839
+0.0391492
+0.0398272
+0.0405985
+0.0414622
+0.0424217
+0.0434704
+0.0446022
+0.0458108
+0.0470904
+0.0484353
+0.0498402
+0.0512991
+0.0527959
+0.0930971
+0.0917633
+0.0904041
+0.089078
+0.0877866
+0.0865218
+0.0852471
+0.0840102
+0.0828128
+0.0816566
+0.0805434
+0.079475
+0.0783999
+0.0772166
+0.0759433
+0.0747126
+0.0735265
+0.0723873
+0.0712973
+0.0702587
+0.0692737
+0.0683376
+0.0674573
+0.0666374
+0.0658803
+0.065188
+0.0645626
+0.0640061
+0.0635204
+0.063107
+0.0624999
+0.0618451
+0.061248
+0.0604135
+0.0592553
+0.0577144
+0.056212
+0.0547562
+0.0533505
+0.0519992
+0.050696
+0.0494511
+0.0482735
+0.0471683
+0.0461408
+0.0451961
+0.0443397
+0.0435766
+0.0429006
+0.0422487
+0.041565
+0.0409699
+0.0404681
+0.0400565
+0.0397553
+0.0395603
+0.039018
+0.0382127
+0.0374735
+0.036771
+0.0361877
+0.0357294
+0.0354009
+0.0351826
+0.035097
+0.0349876
+0.0347773
+0.0344517
+0.0340571
+0.0335594
+0.0331638
+0.0328421
+0.0326186
+0.0325242
+0.0325237
+0.0325986
+0.0327919
+0.0330656
+0.033428
+0.0338406
+0.0343438
+0.034958
+0.0355897
+0.0359115
+0.0361219
+0.0364628
+0.0369308
+0.0375211
+0.038228
+0.0390383
+0.0399359
+0.0409311
+0.0420171
+0.043187
+0.0444341
+0.0457522
+0.0471353
+0.0485744
+0.0500566
+0.0515892
+0.0919644
+0.0907251
+0.0893955
+0.0880543
+0.0867476
+0.0854772
+0.0842319
+0.0829798
+0.0817673
+0.0805961
+0.0794681
+0.0782162
+0.0768374
+0.0754942
+0.0741914
+0.0729311
+0.0717156
+0.0705472
+0.0694282
+0.0683612
+0.0673486
+0.06639
+0.0654836
+0.0646387
+0.0638579
+0.0631434
+0.0624975
+0.0619225
+0.0614203
+0.0609927
+0.0606306
+0.0603412
+0.0601302
+0.0593752
+0.0577855
+0.0562361
+0.0547111
+0.0532142
+0.0517667
+0.0503729
+0.0490374
+0.0477506
+0.04653
+0.0453824
+0.0443135
+0.043329
+0.0424349
+0.0416369
+0.0409368
+0.0402123
+0.039499
+0.0388742
+0.0383509
+0.0379214
+0.0376031
+0.0373992
+0.0372595
+0.0363915
+0.0356372
+0.035004
+0.0343684
+0.0338306
+0.0334281
+0.0331657
+0.0330423
+0.0330122
+0.033085
+0.0325767
+0.0321596
+0.0317073
+0.0312882
+0.0309601
+0.0307229
+0.0306231
+0.0306385
+0.0307279
+0.0309232
+0.0312085
+0.0315919
+0.0320173
+0.0325487
+0.0331923
+0.0338334
+0.0342696
+0.03449
+0.0348469
+0.0353363
+0.0359528
+0.0366899
+0.0375405
+0.0384738
+0.0395059
+0.0406299
+0.0418386
+0.0431248
+0.0444817
+0.0458968
+0.0473614
+0.0488805
+0.0504489
+0.0908274
+0.089608
+0.0883878
+0.0870736
+0.0857521
+0.0844666
+0.083217
+0.0819951
+0.0807678
+0.0794985
+0.0780202
+0.0765761
+0.0751681
+0.0737967
+0.0724633
+0.0711724
+0.0699264
+0.0687276
+0.0675785
+0.0664818
+0.0654401
+0.064456
+0.0635241
+0.0626528
+0.0618469
+0.0611089
+0.0604413
+0.0598466
+0.0593268
+0.0588839
+0.0585116
+0.0582117
+0.057993
+0.0578565
+0.0563624
+0.0547729
+0.053226
+0.051719
+0.0502285
+0.0487908
+0.0474108
+0.0460882
+0.0448258
+0.0436334
+0.0425205
+0.0414935
+0.040559
+0.0397234
+0.038993
+0.03819
+0.0374412
+0.0367896
+0.0362425
+0.0357931
+0.0354556
+0.0352417
+0.0351467
+0.0344707
+0.0336735
+0.0330026
+0.0323723
+0.0318009
+0.0313723
+0.0310926
+0.0309633
+0.0309312
+0.0310539
+0.0307278
+0.0303017
+0.0299009
+0.0294562
+0.0291126
+0.028869
+0.0287627
+0.0287884
+0.0288967
+0.0290994
+0.029397
+0.0297932
+0.0302429
+0.0308048
+0.03148
+0.0321305
+0.0326921
+0.032923
+0.0332968
+0.0338086
+0.0344524
+0.0352209
+0.0361062
+0.0370835
+0.0381532
+0.039316
+0.0405638
+0.0418891
+0.0432753
+0.0447186
+0.0462206
+0.0477759
+0.0493794
+0.0897034
+0.0884872
+0.0872958
+0.0860977
+0.0848014
+0.0835013
+0.0821796
+0.0807905
+0.0794376
+0.077947
+0.0764387
+0.0749641
+0.0735252
+0.0721242
+0.0707609
+0.0694384
+0.0681606
+0.0669302
+0.0657497
+0.064622
+0.0635498
+0.062536
+0.0615803
+0.0606811
+0.0598486
+0.0590856
+0.0583949
+0.0577791
+0.0572405
+0.0567814
+0.0563981
+0.0560869
+0.0558599
+0.0557182
+0.0549898
+0.0533594
+0.0517703
+0.0502266
+0.0487324
+0.0472573
+0.0458311
+0.0444616
+0.0431553
+0.0419228
+0.0407664
+0.0396941
+0.0387161
+0.0378398
+0.0370724
+0.0361847
+0.0353994
+0.034718
+0.0341436
+0.0336727
+0.0333138
+0.0330886
+0.0329874
+0.032584
+0.0317394
+0.0310268
+0.0304009
+0.0297939
+0.029336
+0.0290367
+0.0289007
+0.0288664
+0.0289979
+0.0289242
+0.0284854
+0.0281492
+0.0276626
+0.0273082
+0.0270654
+0.026952
+0.0269894
+0.0271022
+0.0273252
+0.0276283
+0.0280491
+0.0285263
+0.0291214
+0.0298302
+0.0304899
+0.0311463
+0.0314307
+0.031822
+0.0323572
+0.0330293
+0.0338301
+0.0347508
+0.0357635
+0.0368715
+0.0380735
+0.0393607
+0.0407209
+0.0421377
+0.0436186
+0.0451573
+0.0467479
+0.0483855
+0.0886189
+0.0873876
+0.0861945
+0.085006
+0.0834931
+0.0820108
+0.0805592
+0.0791417
+0.07776
+0.0764162
+0.0748879
+0.0733821
+0.0719116
+0.0704785
+0.0690851
+0.0677308
+0.0664202
+0.0651569
+0.0639437
+0.0627835
+0.0616794
+0.0606343
+0.0596514
+0.0587248
+0.0578642
+0.0570747
+0.0563594
+0.055721
+0.0551624
+0.0546858
+0.0542908
+0.0539674
+0.0537315
+0.0535841
+0.0535261
+0.0519999
+0.0503679
+0.0487798
+0.0472399
+0.0457531
+0.0443034
+0.0428852
+0.0415293
+0.0402471
+0.0390457
+0.037933
+0.0369113
+0.0359911
+0.0351448
+0.0342021
+0.0333763
+0.0326608
+0.0320514
+0.0315595
+0.0311787
+0.0309408
+0.0308325
+0.0307377
+0.0298409
+0.0290817
+0.0284531
+0.0278146
+0.0273236
+0.027002
+0.0268557
+0.0268217
+0.0269632
+0.0271775
+0.0267103
+0.0263907
+0.0259245
+0.0255641
+0.025313
+0.0252018
+0.0252523
+0.02537
+0.0256006
+0.0259237
+0.0263718
+0.0268788
+0.0275096
+0.0282316
+0.0289223
+0.0295889
+0.0300242
+0.0304336
+0.0309928
+0.0316938
+0.0325276
+0.0334711
+0.0345175
+0.0356643
+0.0369056
+0.0382322
+0.0396311
+0.0410855
+0.042603
+0.044177
+0.0458018
+0.047472
+0.0875758
+0.0863297
+0.085066
+0.0834967
+0.0819559
+0.0804452
+0.0789663
+0.0775197
+0.0761086
+0.0747351
+0.0733697
+0.0718321
+0.0703292
+0.0688632
+0.0674364
+0.0660515
+0.0647071
+0.0634097
+0.0621624
+0.0609684
+0.0598307
+0.0587528
+0.0577378
+0.0567857
+0.0558952
+0.0550775
+0.0543359
+0.0536735
+0.0530933
+0.052598
+0.0521897
+0.0518538
+0.0516082
+0.0514548
+0.0513944
+0.0506985
+0.0490233
+0.0473901
+0.0458035
+0.0442685
+0.0427906
+0.0413647
+0.0399573
+0.0386229
+0.0373694
+0.0362052
+0.0351391
+0.0341799
+0.0332446
+0.0322465
+0.0313698
+0.0306137
+0.0299725
+0.0294538
+0.029052
+0.0287995
+0.0286831
+0.0287337
+0.0279842
+0.0271733
+0.0265189
+0.0258695
+0.0253408
+0.0249936
+0.0248356
+0.0248019
+0.0249548
+0.0252732
+0.0249978
+0.0246477
+0.0242599
+0.0238938
+0.0236249
+0.0235254
+0.0235829
+0.0237138
+0.0239522
+0.0242972
+0.0247699
+0.0253137
+0.0259825
+0.0267018
+0.0274144
+0.0281161
+0.0287161
+0.0291439
+0.0297273
+0.0304575
+0.0313163
+0.0322854
+0.033369
+0.0345539
+0.0358337
+0.0371985
+0.0386349
+0.0401255
+0.0416779
+0.0432856
+0.0449426
+0.0466436
+0.0865542
+0.0852326
+0.0836151
+0.0820181
+0.0804489
+0.0789094
+0.0774013
+0.0759263
+0.074485
+0.073081
+0.0717164
+0.0703162
+0.0687802
+0.0672804
+0.0658193
+0.0643997
+0.0630236
+0.0616908
+0.0604081
+0.0591786
+0.0580059
+0.0568934
+0.0558447
+0.0548634
+0.0539433
+0.0530956
+0.0523259
+0.0516377
+0.0510344
+0.0505189
+0.050094
+0.0497469
+0.0494908
+0.0493308
+0.0492678
+0.0493021
+0.0477414
+0.0460628
+0.0444288
+0.0428446
+0.0413155
+0.0398481
+0.0384415
+0.0370572
+0.0357488
+0.0345299
+0.0334104
+0.0324005
+0.0313824
+0.030323
+0.029389
+0.0285878
+0.0279108
+0.0273614
+0.0269355
+0.0266652
+0.0265404
+0.0265951
+0.0261733
+0.0253043
+0.0246004
+0.0239564
+0.0233951
+0.0230186
+0.0228469
+0.0228136
+0.0229798
+0.0233192
+0.0233383
+0.0229721
+0.0226849
+0.0222931
+0.0220254
+0.0219252
+0.0219872
+0.0221454
+0.0223863
+0.0227551
+0.0232546
+0.0238474
+0.0245205
+0.0252624
+0.0260025
+0.0267414
+0.0275156
+0.0279617
+0.0285693
+0.0293284
+0.030205
+0.0312086
+0.0323283
+0.03355
+0.0348666
+0.0362679
+0.0377397
+0.0392643
+0.0408495
+0.0424885
+0.0441754
+0.0459048
+0.0854992
+0.0838308
+0.082187
+0.0805692
+0.078974
+0.0774052
+0.0758672
+0.0743619
+0.0728911
+0.0714557
+0.0700595
+0.0687048
+0.0672667
+0.0657324
+0.0642361
+0.0627807
+0.0613689
+0.0600027
+0.0586831
+0.0574167
+0.0562072
+0.0550583
+0.053974
+0.0529581
+0.0520104
+0.0511306
+0.0503309
+0.0496151
+0.0489868
+0.0484496
+0.0480064
+0.0476475
+0.0473801
+0.047213
+0.0471471
+0.047183
+0.046524
+0.0447993
+0.043117
+0.0414823
+0.0399008
+0.0383793
+0.0369226
+0.0355321
+0.0341918
+0.0329153
+0.0317389
+0.030674
+0.0295652
+0.0284382
+0.0274401
+0.0265854
+0.0258702
+0.0252846
+0.0248318
+0.0245393
+0.0244062
+0.0244657
+0.0244246
+0.0234911
+0.022731
+0.0220741
+0.0214925
+0.0210863
+0.0208987
+0.020866
+0.0210472
+0.0214111
+0.0217502
+0.0213793
+0.0211952
+0.0208001
+0.0205354
+0.020432
+0.0204988
+0.0206865
+0.0209262
+0.0213203
+0.0218542
+0.0224624
+0.0231715
+0.0239372
+0.024699
+0.0254614
+0.0262922
+0.0268903
+0.0275215
+0.0283087
+0.0292159
+0.0302523
+0.0314062
+0.0326624
+0.0340134
+0.0354484
+0.0369528
+0.0385086
+0.0401236
+0.0417911
+0.0435051
+0.0452602
+0.0841588
+0.0824634
+0.0807917
+0.0791454
+0.0775261
+0.0759343
+0.0743659
+0.0728296
+0.0713275
+0.0698613
+0.0684326
+0.067045
+0.0657011
+0.0642189
+0.0626865
+0.0611942
+0.059745
+0.0583421
+0.0569888
+0.0556852
+0.0544372
+0.0532502
+0.0521283
+0.0510757
+0.0500968
+0.0491848
+0.0483529
+0.0476074
+0.0469523
+0.0463914
+0.0459284
+0.0455568
+0.045277
+0.0451021
+0.0450331
+0.0450707
+0.0452145
+0.0436038
+0.0418735
+0.0401882
+0.0385537
+0.0369767
+0.0354651
+0.0340244
+0.0326574
+0.0313706
+0.0301339
+0.0290102
+0.0277871
+0.0265994
+0.0255305
+0.0246096
+0.0238437
+0.023221
+0.0227447
+0.0224249
+0.022283
+0.0223482
+0.0225952
+0.0217475
+0.0209242
+0.0202539
+0.0196185
+0.019192
+0.0189857
+0.0189714
+0.019166
+0.0195624
+0.020128
+0.0198722
+0.0196741
+0.0194389
+0.0191602
+0.019072
+0.019146
+0.019366
+0.0196026
+0.0200228
+0.0205836
+0.021209
+0.0219586
+0.0227411
+0.0235253
+0.0243119
+0.0251796
+0.0259598
+0.0266132
+0.0274264
+0.0283618
+0.0294284
+0.0306133
+0.0319007
+0.0332827
+0.0347479
+0.0362814
+0.0378647
+0.0395061
+0.0411986
+0.0429362
+0.0447136
+0.0828548
+0.0811321
+0.0794324
+0.0777573
+0.0761084
+0.0744875
+0.0728963
+0.0713317
+0.0697974
+0.0682984
+0.0668363
+0.0654148
+0.0640368
+0.062705
+0.0611754
+0.0596453
+0.0581575
+0.0567153
+0.0553223
+0.0539822
+0.0526989
+0.0514718
+0.0503102
+0.0492188
+0.0482022
+0.0472604
+0.046394
+0.0456165
+0.0449323
+0.044346
+0.0438614
+0.0434759
+0.0431826
+0.0429991
+0.0429268
+0.0429662
+0.043117
+0.0424152
+0.040674
+0.0389743
+0.0372866
+0.0356537
+0.0340834
+0.0325848
+0.0311646
+0.0298275
+0.0285959
+0.0274203
+0.0260659
+0.0247998
+0.023665
+0.0226732
+0.021841
+0.0211818
+0.0206743
+0.0203266
+0.0201743
+0.0202462
+0.0205144
+0.0200916
+0.0191974
+0.018494
+0.0178168
+0.0173573
+0.0171289
+0.0171385
+0.0173546
+0.0177914
+0.0184274
+0.0185015
+0.0182893
+0.0181936
+0.0179435
+0.0178492
+0.0179406
+0.0181922
+0.0184177
+0.0188643
+0.0194604
+0.0201167
+0.0209055
+0.0216818
+0.0225042
+0.0233062
+0.02419
+0.0251582
+0.0258589
+0.0266952
+0.0276554
+0.0287481
+0.02996
+0.0312743
+0.0326827
+0.0341737
+0.0357318
+0.0373385
+0.039002
+0.0407155
+0.0424729
+0.0442689
+0.0815887
+0.0798387
+0.0781109
+0.0764068
+0.0747281
+0.0730766
+0.071454
+0.0698624
+0.0683033
+0.0667708
+0.0652744
+0.0638182
+0.0624049
+0.0610375
+0.0597064
+0.0581377
+0.0566103
+0.0551276
+0.0536934
+0.0523117
+0.0509866
+0.0497228
+0.048523
+0.0473904
+0.0463337
+0.0453583
+0.0444568
+0.0436447
+0.0429292
+0.0423151
+0.0418069
+0.0414063
+0.0410983
+0.0409054
+0.0408294
+0.0408708
+0.0410293
+0.0412807
+0.0394895
+0.0377406
+0.0360399
+0.0343948
+0.03279
+0.0312294
+0.0297484
+0.028355
+0.0270564
+0.0258575
+0.0244052
+0.0230679
+0.0218434
+0.0207782
+0.019875
+0.0191564
+0.0186264
+0.0182501
+0.0180807
+0.0181609
+0.018459
+0.0185469
+0.0175743
+0.0168032
+0.0161118
+0.0156147
+0.0153604
+0.0153727
+0.0156406
+0.0161065
+0.016808
+0.0172811
+0.0170705
+0.0170904
+0.0168806
+0.0168241
+0.016921
+0.0171875
+0.017426
+0.0178952
+0.0185238
+0.0192131
+0.0200108
+0.0208
+0.0216328
+0.0224482
+0.0233643
+0.0243654
+0.0252727
+0.0261276
+0.027108
+0.0282219
+0.0294554
+0.0307913
+0.0322209
+0.0337322
+0.0353099
+0.0369349
+0.0386158
+0.0403457
+0.0421185
+0.043929
+0.0803624
+0.0785851
+0.0768291
+0.0750959
+0.0733873
+0.0717048
+0.0700505
+0.0684263
+0.0668344
+0.0652773
+0.0637496
+0.0622577
+0.0608081
+0.059404
+0.0580486
+0.0566746
+0.0551067
+0.0535824
+0.0521057
+0.0506807
+0.0493119
+0.048004
+0.0467622
+0.045592
+0.0444946
+0.043478
+0.0425396
+0.041691
+0.0409422
+0.0402987
+0.0397655
+0.039347
+0.0390256
+0.0388224
+0.0387423
+0.038786
+0.038953
+0.0392417
+0.0383936
+0.0365923
+0.0348356
+0.0331307
+0.031486
+0.0299113
+0.0284184
+0.0269696
+0.025612
+0.0243365
+0.0228341
+0.021401
+0.0200956
+0.0189323
+0.017961
+0.0171625
+0.0166071
+0.0162037
+0.0160127
+0.0161032
+0.0164386
+0.0170421
+0.0160864
+0.0152401
+0.0145376
+0.0139858
+0.0137144
+0.0137298
+0.0140586
+0.0145561
+0.0153075
+0.0162584
+0.0160544
+0.0160811
+0.0160358
+0.0159907
+0.016136
+0.0163847
+0.0166485
+0.0171037
+0.0177597
+0.018482
+0.0192994
+0.0200882
+0.0209361
+0.0217774
+0.0227207
+0.0237489
+0.02481
+0.0257347
+0.0267294
+0.0278585
+0.0291075
+0.0304586
+0.031903
+0.0334288
+0.0350201
+0.0366579
+0.038351
+0.0400923
+0.0418758
+0.0436964
+0.0791777
+0.0773732
+0.0755891
+0.0738268
+0.0720881
+0.0703746
+0.0686882
+0.067031
+0.0654052
+0.0638132
+0.0622576
+0.0607361
+0.0592493
+0.0578074
+0.0564136
+0.0550718
+0.0536504
+0.0520836
+0.0505631
+0.0490934
+0.047679
+0.046325
+0.045037
+0.0438205
+0.0426775
+0.0416184
+0.0406469
+0.039758
+0.038972
+0.0382955
+0.0377341
+0.0372932
+0.0369665
+0.036752
+0.0366673
+0.0367134
+0.0368898
+0.0371946
+0.0373861
+0.0355406
+0.0337308
+0.031967
+0.030259
+0.0286169
+0.0270527
+0.0255805
+0.0242097
+0.0228476
+0.0213534
+0.0198339
+0.0184279
+0.0171677
+0.0160913
+0.0152228
+0.0146041
+0.0141847
+0.013982
+0.0140856
+0.0144679
+0.0151276
+0.0147513
+0.0138483
+0.0131412
+0.012528
+0.0122402
+0.0122595
+0.0126123
+0.0131834
+0.0139889
+0.015031
+0.0152551
+0.0153127
+0.0154324
+0.0154009
+0.0155708
+0.0158078
+0.0160924
+0.0165629
+0.0172391
+0.0179827
+0.0187724
+0.0195824
+0.0204514
+0.0213117
+0.0222612
+0.0233226
+0.0244023
+0.0254985
+0.026527
+0.0276644
+0.0289217
+0.0302811
+0.0317336
+0.0332671
+0.0348614
+0.0365045
+0.0382025
+0.0399485
+0.0417365
+0.0435613
+0.0780366
+0.076205
+0.0743929
+0.0726016
+0.0708328
+0.0690882
+0.0673696
+0.0656792
+0.064019
+0.0623917
+0.0607997
+0.0592459
+0.0577315
+0.0562506
+0.0548173
+0.0534354
+0.052109
+0.0506352
+0.0490699
+0.047554
+0.0460924
+0.0446886
+0.0433475
+0.0420777
+0.040886
+0.0397793
+0.0387649
+0.0378502
+0.0370267
+0.0363139
+0.0357214
+0.0352553
+0.0349203
+0.0346963
+0.0346066
+0.0346554
+0.0348422
+0.0351648
+0.0353187
+0.0345848
+0.0327279
+0.0309148
+0.0291453
+0.0274367
+0.0258009
+0.0242529
+0.0228005
+0.0213507
+0.0199332
+0.0183841
+0.0168691
+0.0155038
+0.0143117
+0.0133609
+0.0126517
+0.0122121
+0.0120078
+0.0121282
+0.0125702
+0.0132985
+0.0136101
+0.0126534
+0.011968
+0.0113092
+0.0109991
+0.0110309
+0.0114035
+0.0120321
+0.0129096
+0.0140322
+0.0147198
+0.0147927
+0.0150361
+0.0150899
+0.0152528
+0.0154721
+0.0157859
+0.0163009
+0.0169564
+0.0177417
+0.0184915
+0.0193133
+0.0201743
+0.0210446
+0.0220034
+0.023081
+0.0241869
+0.0253397
+0.0264703
+0.0276314
+0.028889
+0.0302499
+0.0317039
+0.0332357
+0.0348178
+0.0364628
+0.0381627
+0.0399105
+0.0417001
+0.0435264
+0.0769409
+0.0750826
+0.0732427
+0.0714226
+0.0696239
+0.0678481
+0.0660973
+0.0643735
+0.0626788
+0.0610157
+0.0593868
+0.0577951
+0.0562437
+0.0547339
+0.0532598
+0.0518364
+0.0504679
+0.049159
+0.0476306
+0.0460641
+0.0445492
+0.0430925
+0.0417001
+0.0403786
+0.0391351
+0.0379774
+0.0369136
+0.0359518
+0.0351007
+0.0343517
+0.0337237
+0.0332286
+0.0328722
+0.0326581
+0.0325628
+0.0326147
+0.0328132
+0.0331554
+0.0332457
+0.0330638
+0.0318283
+0.0299608
+0.02814
+0.0263754
+0.0246793
+0.0230574
+0.0215028
+0.019975
+0.0185133
+0.0170174
+0.0154509
+0.0139623
+0.012661
+0.0115808
+0.0107909
+0.0103158
+0.0100947
+0.0102593
+0.0107732
+0.0115954
+0.0126133
+0.0117367
+0.011037
+0.0104137
+0.010077
+0.0101134
+0.010517
+0.0111955
+0.0121337
+0.0132978
+0.0143785
+0.0145379
+0.0147577
+0.0148647
+0.0149827
+0.0153839
+0.0157302
+0.0162721
+0.0169312
+0.0177046
+0.0184439
+0.0192758
+0.0201067
+0.0209803
+0.0219522
+0.0230218
+0.0241689
+0.0253219
+0.0265191
+0.0277498
+0.0290023
+0.0303581
+0.0318071
+0.0333342
+0.0349118
+0.0365526
+0.0382485
+0.0399925
+0.0417787
+0.0436017
+0.0758926
+0.0740081
+0.0721407
+0.0702921
+0.0684637
+0.0666571
+0.0648741
+0.0631169
+0.0613875
+0.0596884
+0.0580223
+0.0563921
+0.0548009
+0.0532524
+0.0517481
+0.0502819
+0.04887
+0.0475171
+0.0462285
+0.044625
+0.0430596
+0.0415507
+0.0401048
+0.0387289
+0.0374306
+0.0362185
+0.0351014
+0.0340885
+0.0331896
+0.032414
+0.0317496
+0.0312232
+0.0308437
+0.0306167
+0.0305394
+0.0305948
+0.0308062
+0.0311706
+0.0311871
+0.0309947
+0.030955
+0.0291347
+0.0272587
+0.0254331
+0.0236696
+0.021983
+0.0203583
+0.0187375
+0.0171439
+0.0156225
+0.0141644
+0.0125968
+0.0111589
+0.00995828
+0.0090785
+0.00852785
+0.00831062
+0.008506
+0.00912494
+0.0100756
+0.0111622
+0.0111745
+0.0104394
+0.00988516
+0.00957667
+0.00961493
+0.0100386
+0.0107473
+0.0116689
+0.0128507
+0.0136718
+0.0137923
+0.0138563
+0.0137421
+0.0138696
+0.0143064
+0.0150525
+0.0160151
+0.0171397
+0.0178974
+0.0186294
+0.0194534
+0.020277
+0.0211436
+0.0221055
+0.0231706
+0.0243109
+0.0254624
+0.0266842
+0.027975
+0.0292795
+0.030623
+0.0320601
+0.0335757
+0.0351425
+0.036773
+0.0384592
+0.040194
+0.0419716
+0.0437865
+0.0748877
+0.0729812
+0.0710892
+0.0692125
+0.0673548
+0.0655176
+0.0637028
+0.0619123
+0.0601483
+0.0584131
+0.0567096
+0.0550405
+0.0534091
+0.051819
+0.0502741
+0.0487764
+0.0473195
+0.045921
+0.0445863
+0.0432491
+0.0416319
+0.0400694
+0.0385679
+0.0371351
+0.0357791
+0.034509
+0.0333346
+0.0322664
+0.0313152
+0.030492
+0.0298059
+0.0292444
+0.0288389
+0.028596
+0.0285197
+0.0286
+0.028826
+0.0292151
+0.0291239
+0.0289436
+0.028901
+0.0284504
+0.0265261
+0.0246463
+0.022822
+0.0210677
+0.0193946
+0.0176596
+0.0159329
+0.0143135
+0.0127924
+0.0114395
+0.00989079
+0.00854196
+0.00750743
+0.0069215
+0.00675795
+0.0070034
+0.0077187
+0.00878274
+0.00991809
+0.0107894
+0.0102486
+0.00977869
+0.00948969
+0.00960265
+0.0100268
+0.0106744
+0.0115788
+0.0126467
+0.0129838
+0.013093
+0.0130556
+0.0128969
+0.0130327
+0.0134966
+0.0142484
+0.0152533
+0.0164732
+0.0178571
+0.0190665
+0.0198723
+0.0206792
+0.0215296
+0.0224723
+0.0235233
+0.0246272
+0.025784
+0.0270253
+0.0283021
+0.0296588
+0.0310111
+0.0324309
+0.0339329
+0.0355001
+0.0371209
+0.0387925
+0.0405131
+0.0422773
+0.0440797
+0.0739277
+0.0719957
+0.070079
+0.0681787
+0.0662964
+0.0644325
+0.0625862
+0.0607628
+0.0589644
+0.0571934
+0.0554524
+0.0537443
+0.0520723
+0.0504401
+0.0488515
+0.0473112
+0.0458214
+0.0443757
+0.042993
+0.0416797
+0.0402729
+0.0386554
+0.0370968
+0.0356049
+0.0341882
+0.0328567
+0.031621
+0.0304928
+0.0294844
+0.0286086
+0.0278778
+0.0272903
+0.0268553
+0.0265942
+0.0265122
+0.0266092
+0.026852
+0.0272692
+0.0270786
+0.026892
+0.0268687
+0.0270012
+0.0258902
+0.0239729
+0.0221065
+0.020305
+0.0185708
+0.0167233
+0.0149094
+0.013187
+0.011568
+0.0101037
+0.00887536
+0.00743962
+0.00627175
+0.00561529
+0.00554157
+0.00587796
+0.00669387
+0.00788644
+0.00899415
+0.0096248
+0.0101651
+0.0101424
+0.00987718
+0.0100115
+0.0104734
+0.0110203
+0.0117071
+0.0123849
+0.0125873
+0.0127368
+0.0125511
+0.012381
+0.0124926
+0.0129692
+0.0137203
+0.0147612
+0.0160186
+0.0174386
+0.0190056
+0.0205178
+0.0212681
+0.0221046
+0.0230255
+0.0240465
+0.0251312
+0.0262849
+0.0275091
+0.0287742
+0.0301238
+0.0315242
+0.0329418
+0.0344229
+0.0359688
+0.0375694
+0.0392271
+0.0409349
+0.0426868
+0.0444776
+0.0730208
+0.0710641
+0.0691216
+0.0671942
+0.0652835
+0.063391
+0.0615182
+0.059667
+0.0578393
+0.0560328
+0.0542545
+0.0525075
+0.0507948
+0.0491201
+0.0474875
+0.0459013
+0.0443667
+0.0428866
+0.0414543
+0.0400906
+0.0388027
+0.0373121
+0.0356996
+0.0341467
+0.0326669
+0.0312706
+0.0299696
+0.0287767
+0.027706
+0.026772
+0.0259896
+0.0253672
+0.0248987
+0.0246168
+0.0245282
+0.0246348
+0.0249091
+0.0253583
+0.0250502
+0.0248586
+0.0248464
+0.0250064
+0.0253281
+0.023377
+0.021472
+0.0196173
+0.0177734
+0.0158804
+0.0140482
+0.0122963
+0.0105875
+0.00903048
+0.00769766
+0.00672615
+0.00557652
+0.00487153
+0.00484858
+0.00522982
+0.00610759
+0.00716899
+0.007732
+0.00832818
+0.00892155
+0.0098208
+0.0102989
+0.0104052
+0.0106171
+0.0111194
+0.0116444
+0.0124743
+0.0125162
+0.012691
+0.0123779
+0.0121712
+0.0122839
+0.0127682
+0.0135305
+0.0145849
+0.0158477
+0.0172784
+0.0188529
+0.0205333
+0.0220487
+0.0228567
+0.0237485
+0.0247396
+0.0258096
+0.0269551
+0.0281413
+0.0293875
+0.030721
+0.0321212
+0.0335553
+0.0350324
+0.0365588
+0.0381386
+0.0397725
+0.0414579
+0.0431886
+0.0449594
+0.072169
+0.0701886
+0.0682211
+0.0662676
+0.0643294
+0.0624079
+0.0605046
+0.0586215
+0.0567604
+0.0549227
+0.053111
+0.0513288
+0.0495793
+0.0478641
+0.0461871
+0.0445547
+0.042972
+0.0414446
+0.0399721
+0.0385561
+0.0372151
+0.0359577
+0.0343754
+0.0327701
+0.0312252
+0.0297613
+0.0283912
+0.0271291
+0.0259905
+0.0249925
+0.0241525
+0.0234862
+0.0229798
+0.0226741
+0.0225778
+0.0226936
+0.0230103
+0.0234281
+0.023042
+0.0228506
+0.0228374
+0.0230334
+0.0233887
+0.0229515
+0.021008
+0.0191179
+0.0171549
+0.0152234
+0.0133414
+0.0115374
+0.00987508
+0.0082919
+0.00693519
+0.00593088
+0.00541739
+0.00484016
+0.00467651
+0.00487782
+0.00548575
+0.00624541
+0.00672563
+0.00743311
+0.00808089
+0.00901529
+0.0101541
+0.0104393
+0.0107373
+0.0112456
+0.0119173
+0.0125247
+0.012763
+0.0128642
+0.0125554
+0.0123449
+0.0124541
+0.0129173
+0.0136713
+0.0146944
+0.0159285
+0.0173525
+0.0189209
+0.0205957
+0.02236
+0.0237874
+0.0246455
+0.025602
+0.0266377
+0.0277504
+0.0289213
+0.0301479
+0.0314493
+0.0328183
+0.0342717
+0.0357375
+0.0372476
+0.0388105
+0.0404295
+0.0420886
+0.0437944
+0.0455417
+0.0713743
+0.0693712
+0.0673798
+0.0654012
+0.0634365
+0.0614871
+0.0595545
+0.0576403
+0.0557465
+0.0538742
+0.052026
+0.0502053
+0.0484152
+0.0466594
+0.0449418
+0.0432669
+0.04164
+0.0400668
+0.0385488
+0.0370792
+0.0356829
+0.0343695
+0.0331256
+0.0314649
+0.029864
+0.0283367
+0.0268984
+0.0255631
+0.0243514
+0.0232833
+0.0223792
+0.0216584
+0.0211082
+0.020775
+0.0206698
+0.0207963
+0.0211431
+0.0214917
+0.0210701
+0.0208711
+0.0208643
+0.0210787
+0.0214965
+0.0220597
+0.0204861
+0.0185666
+0.0167086
+0.0147796
+0.0128805
+0.0110399
+0.00934365
+0.00782705
+0.00659868
+0.00567524
+0.00535782
+0.00521677
+0.00477324
+0.004849
+0.00550029
+0.00571032
+0.00627051
+0.00704679
+0.00773185
+0.00865322
+0.00975418
+0.0108694
+0.01108
+0.0113853
+0.0119417
+0.0125167
+0.0127146
+0.012928
+0.012972
+0.0128282
+0.0129333
+0.01338
+0.0141093
+0.0151027
+0.016306
+0.0176996
+0.0192397
+0.020889
+0.0226304
+0.0244441
+0.0256985
+0.0266171
+0.0276148
+0.0286896
+0.0298239
+0.0310336
+0.0323099
+0.0336439
+0.035063
+0.0365575
+0.0380471
+0.0395814
+0.0411724
+0.0428163
+0.0444998
+0.0462205
+0.0706386
+0.0686141
+0.0666
+0.0645975
+0.0626077
+0.0606316
+0.0586708
+0.0567268
+0.0548014
+0.0528957
+0.051012
+0.0491538
+0.047324
+0.0455261
+0.043764
+0.0420423
+0.040366
+0.0387411
+0.0371743
+0.0356714
+0.0342223
+0.0328506
+0.0315714
+0.0302534
+0.0285849
+0.0269912
+0.0254811
+0.0240749
+0.0227928
+0.0216566
+0.0206859
+0.0198962
+0.0192952
+0.0189302
+0.0188147
+0.0189535
+0.0193165
+0.0195811
+0.0191458
+0.0189266
+0.0189392
+0.0191751
+0.0196539
+0.0202812
+0.0200615
+0.0181134
+0.0162047
+0.0143308
+0.0124638
+0.0107157
+0.00899442
+0.00746919
+0.00627622
+0.0055391
+0.00519412
+0.00508452
+0.00504598
+0.00525183
+0.00551474
+0.00585002
+0.00650767
+0.00727036
+0.00793615
+0.00883624
+0.00982279
+0.0107269
+0.0113876
+0.0116849
+0.0122812
+0.0128602
+0.012912
+0.0131222
+0.0129363
+0.0128129
+0.0130063
+0.0135399
+0.0143464
+0.0154183
+0.0167007
+0.0181243
+0.0196719
+0.0213325
+0.0230817
+0.0248854
+0.0267257
+0.0277683
+0.028726
+0.0297607
+0.0308556
+0.0320264
+0.0332822
+0.0345887
+0.0359706
+0.0374297
+0.0389372
+0.0404565
+0.0420143
+0.0436265
+0.0452873
+0.0469915
+0.0699638
+0.0679191
+0.0658839
+0.063859
+0.0618453
+0.0598441
+0.0578566
+0.0558843
+0.0539289
+0.0519911
+0.0500734
+0.048179
+0.0463107
+0.0444719
+0.0426663
+0.0408984
+0.0391732
+0.0374966
+0.0358755
+0.0343158
+0.0328202
+0.0314063
+0.0300707
+0.0288347
+0.0274213
+0.0257557
+0.024174
+0.0226891
+0.0213239
+0.0201051
+0.0190611
+0.0182189
+0.0175606
+0.0171587
+0.0170312
+0.0171844
+0.0175734
+0.017735
+0.0172754
+0.017042
+0.0170665
+0.0173279
+0.0178563
+0.0185554
+0.0194465
+0.017877
+0.0159424
+0.0140757
+0.0121928
+0.0104069
+0.00877256
+0.00734717
+0.00618658
+0.00545598
+0.00504073
+0.00501343
+0.00526794
+0.00571755
+0.00619581
+0.00671461
+0.00730008
+0.00809454
+0.00870526
+0.00948532
+0.0102461
+0.0109745
+0.0118328
+0.0123362
+0.0128885
+0.0132307
+0.0133412
+0.0135272
+0.0132128
+0.013092
+0.0132719
+0.0137562
+0.0145492
+0.0155943
+0.0168608
+0.0182719
+0.019808
+0.021458
+0.0231978
+0.0250085
+0.0268758
+0.0287888
+0.0299565
+0.0309461
+0.0320031
+0.0331346
+0.0343499
+0.0356358
+0.0369857
+0.0384064
+0.0398956
+0.0414079
+0.0429515
+0.0445298
+0.0461581
+0.0478313
+0.0693517
+0.0672884
+0.0652335
+0.0631877
+0.061152
+0.0591273
+0.0571148
+0.055116
+0.0531323
+0.0511644
+0.0492145
+0.0472857
+0.0453806
+0.0435025
+0.0416549
+0.0398421
+0.0380691
+0.0363416
+0.0346666
+0.0330498
+0.0314942
+0.0300179
+0.0286332
+0.0273541
+0.0261768
+0.0246532
+0.0229958
+0.0214344
+0.0199848
+0.018679
+0.0175503
+0.0166349
+0.0159233
+0.0154789
+0.0153375
+0.0155075
+0.0159254
+0.0159743
+0.0154625
+0.0152374
+0.0152639
+0.0155557
+0.0161422
+0.0169374
+0.0179091
+0.0178803
+0.0159461
+0.0140553
+0.012197
+0.0104287
+0.008796
+0.00738876
+0.00628182
+0.00565751
+0.0054572
+0.00562986
+0.0060934
+0.00624026
+0.00668347
+0.00707573
+0.00767982
+0.00841906
+0.00920138
+0.0102136
+0.0109818
+0.0115128
+0.012191
+0.0128267
+0.0132658
+0.0134439
+0.0137022
+0.0141434
+0.0138041
+0.0136313
+0.0137978
+0.01429
+0.0150547
+0.0160669
+0.0172865
+0.0186619
+0.0201809
+0.0218041
+0.0235182
+0.025306
+0.0271529
+0.0290476
+0.0309814
+0.0322193
+0.0332416
+0.0343468
+0.0355207
+0.0367657
+0.038093
+0.0394805
+0.0409307
+0.0424313
+0.0439581
+0.0455207
+0.0471148
+0.0487552
+0.0688039
+0.0667237
+0.0646508
+0.062586
+0.06053
+0.0584838
+0.0564484
+0.0544251
+0.0524153
+0.0504194
+0.0484395
+0.0464785
+0.044539
+0.0426238
+0.0407364
+0.0388808
+0.0370618
+0.035285
+0.0335573
+0.0318843
+0.0302688
+0.0287296
+0.0272797
+0.0259339
+0.0247084
+0.023599
+0.0219734
+0.0203336
+0.0187994
+0.0174048
+0.0161875
+0.0151902
+0.0144075
+0.0139148
+0.0137574
+0.0139465
+0.0144098
+0.0143214
+0.0137481
+0.0135075
+0.0135551
+0.0139033
+0.0145565
+0.0154347
+0.0165017
+0.0177428
+0.016212
+0.0143322
+0.0125242
+0.0107997
+0.00923511
+0.00790307
+0.00690865
+0.00641376
+0.00637887
+0.00638535
+0.00645222
+0.00638061
+0.00690334
+0.00750147
+0.00817306
+0.0089035
+0.00956064
+0.0105384
+0.0112365
+0.0120033
+0.0126575
+0.0130587
+0.0135654
+0.0139402
+0.0141895
+0.0147022
+0.0146036
+0.0144654
+0.0146224
+0.0150857
+0.015795
+0.0167626
+0.0179314
+0.0192608
+0.0207369
+0.0223306
+0.0240186
+0.0257823
+0.0276016
+0.0294675
+0.0313754
+0.0333181
+0.0345747
+0.0356526
+0.0367848
+0.0379884
+0.0392744
+0.040638
+0.0420545
+0.0435164
+0.0450371
+0.0465749
+0.0481522
+0.0497584
+0.068322
+0.0662266
+0.0641377
+0.0620558
+0.0599816
+0.0579161
+0.05586
+0.0538146
+0.0517811
+0.0497597
+0.0477525
+0.0457621
+0.0437909
+0.0418414
+0.039917
+0.0380215
+0.0361593
+0.0343359
+0.0325578
+0.0308306
+0.0291568
+0.0275556
+0.0260403
+0.0246269
+0.0233339
+0.022177
+0.0211
+0.019386
+0.017769
+0.0162867
+0.0149791
+0.0138956
+0.0130726
+0.0125275
+0.0123524
+0.0125563
+0.0130631
+0.0128156
+0.0121874
+0.0119181
+0.0119853
+0.0124181
+0.0131453
+0.0140874
+0.015249
+0.0165984
+0.0167527
+0.0149288
+0.013197
+0.0115628
+0.010114
+0.00889778
+0.00807378
+0.00764336
+0.00760319
+0.00712763
+0.00701969
+0.00708891
+0.00756948
+0.008312
+0.00878845
+0.00912856
+0.00981172
+0.0104164
+0.0113272
+0.0117212
+0.0123457
+0.0133059
+0.0139418
+0.0146184
+0.0149515
+0.0151625
+0.0154364
+0.0155421
+0.0156883
+0.016121
+0.0167867
+0.0177001
+0.0188108
+0.020082
+0.0215018
+0.0230427
+0.0246821
+0.0264015
+0.0281864
+0.0300251
+0.0319082
+0.033827
+0.0357707
+0.0370344
+0.0381329
+0.0392953
+0.0405399
+0.0418622
+0.0432551
+0.0446826
+0.0461649
+0.0477019
+0.0492475
+0.0508362
+0.0676966
+0.0656818
+0.0636787
+0.0615976
+0.0595089
+0.0574263
+0.0553521
+0.0532872
+0.0512327
+0.0491889
+0.0471574
+0.0451408
+0.0431411
+0.0411609
+0.0392031
+0.0372713
+0.0353696
+0.0335032
+0.0316784
+0.0299006
+0.0281715
+0.0265108
+0.0249322
+0.0234521
+0.0220904
+0.0208703
+0.0198067
+0.0186142
+0.0169488
+0.015388
+0.0139966
+0.0128303
+0.0119544
+0.0113578
+0.0111644
+0.0113907
+0.0119469
+0.0114842
+0.0108272
+0.0105231
+0.0106257
+0.0111219
+0.0119263
+0.0129502
+0.0142077
+0.0156639
+0.0171995
+0.015809
+0.0141608
+0.0126517
+0.0113249
+0.0102575
+0.00952488
+0.00892809
+0.00832203
+0.00776905
+0.0075753
+0.00800047
+0.00838304
+0.0084479
+0.00895628
+0.0092904
+0.00995953
+0.0105557
+0.0111808
+0.0114941
+0.0121332
+0.0131116
+0.0142959
+0.0150916
+0.0157994
+0.0158459
+0.0160596
+0.0165318
+0.0169714
+0.0173611
+0.0179809
+0.0188366
+0.0198936
+0.0210997
+0.0224552
+0.0239348
+0.0255169
+0.0271836
+0.0289202
+0.030715
+0.0325583
+0.0344423
+0.0363606
+0.0383082
+0.0395555
+0.0406782
+0.0418818
+0.043163
+0.0445152
+0.0459237
+0.0473673
+0.0488664
+0.0504131
+0.0519674
+0.0670455
+0.0650106
+0.0629861
+0.060973
+0.0589727
+0.0569864
+0.054919
+0.0528374
+0.0507634
+0.0486997
+0.0466475
+0.0446079
+0.0425832
+0.0405758
+0.0385884
+0.0366241
+0.034687
+0.0327818
+0.0309144
+0.0290922
+0.0273242
+0.0256113
+0.0239735
+0.0224302
+0.0210023
+0.019715
+0.0185899
+0.01764
+0.0163238
+0.0146983
+0.0132344
+0.0119939
+0.0110526
+0.0104364
+0.0102255
+0.0104787
+0.011089
+0.0104467
+0.00971982
+0.00937987
+0.00953635
+0.0100892
+0.0109343
+0.0120397
+0.0133834
+0.0149282
+0.0165695
+0.0169184
+0.0153682
+0.0139612
+0.0127692
+0.0118328
+0.010774
+0.00972998
+0.00904323
+0.00874971
+0.00838018
+0.00841365
+0.00849652
+0.00872558
+0.00914191
+0.00993696
+0.010405
+0.010928
+0.0113248
+0.0115953
+0.012239
+0.0132069
+0.0144088
+0.0155252
+0.0165222
+0.0167428
+0.0169425
+0.017378
+0.0180312
+0.018754
+0.0193292
+0.0201276
+0.021124
+0.0222868
+0.0235742
+0.0249876
+0.0265069
+0.028115
+0.0297974
+0.0315423
+0.0333399
+0.035182
+0.0370621
+0.0389747
+0.0409152
+0.0421297
+0.0432929
+0.0445336
+0.0458454
+0.0472224
+0.0486386
+0.0500997
+0.0516124
+0.0531636
+0.0664603
+0.0644068
+0.0623627
+0.0603289
+0.0583065
+0.0562966
+0.0542977
+0.0523119
+0.0503432
+0.0482963
+0.0462262
+0.0441677
+0.0421225
+0.0400928
+0.0380809
+0.0360898
+0.0341231
+0.0321855
+0.0302815
+0.0284188
+0.026606
+0.0248542
+0.0231772
+0.021583
+0.020095
+0.0187455
+0.0175582
+0.0165492
+0.0157817
+0.0143088
+0.0128004
+0.0115133
+0.0105191
+0.00987874
+0.00965572
+0.00992291
+0.0105673
+0.00974435
+0.00898437
+0.00865023
+0.00881966
+0.00941471
+0.0103152
+0.0114804
+0.0128825
+0.0144808
+0.0161676
+0.0178346
+0.0166693
+0.0151038
+0.0137099
+0.0125067
+0.0115199
+0.0104426
+0.0096462
+0.00927193
+0.00892155
+0.00895506
+0.00901746
+0.00926551
+0.00964195
+0.0103859
+0.0110047
+0.0114356
+0.011784
+0.0120596
+0.0126797
+0.0136163
+0.01482
+0.0159334
+0.0169921
+0.0178465
+0.0180081
+0.018411
+0.0190288
+0.0198702
+0.0208212
+0.0215645
+0.0224973
+0.0235972
+0.0248364
+0.0261818
+0.0276355
+0.0291815
+0.0308057
+0.0324965
+0.034244
+0.03604
+0.0378775
+0.0397509
+0.0416552
+0.0435864
+0.0447669
+0.0459678
+0.0472398
+0.0485773
+0.0499737
+0.0513968
+0.0528725
+0.0543963
+0.0659427
+0.0638726
+0.0618108
+0.0597582
+0.0577158
+0.0556846
+0.0536629
+0.0516527
+0.0496579
+0.0476802
+0.045722
+0.0437857
+0.0417705
+0.0397228
+0.0376911
+0.0356783
+0.0336877
+0.0317234
+0.0297907
+0.0278962
+0.0260482
+0.0242574
+0.0225372
+0.0209053
+0.0193839
+0.0179699
+0.016701
+0.0156374
+0.0148234
+0.0142006
+0.0126793
+0.0113765
+0.0103486
+0.009713
+0.00948726
+0.00974201
+0.0104055
+0.00946264
+0.00867803
+0.00837557
+0.00855565
+0.00916138
+0.0101121
+0.0113244
+0.0127437
+0.0143575
+0.0160525
+0.017756
+0.0173827
+0.0158876
+0.0145689
+0.013429
+0.0123338
+0.011248
+0.010484
+0.0101444
+0.00991544
+0.00989847
+0.00992169
+0.0101516
+0.0105073
+0.0112121
+0.0118473
+0.012303
+0.0126112
+0.0128846
+0.0134668
+0.0143521
+0.0154987
+0.0165736
+0.0175939
+0.0187698
+0.0192644
+0.0196351
+0.0202155
+0.0210094
+0.0219936
+0.0231084
+0.0239923
+0.0250266
+0.0262036
+0.0274989
+0.0288864
+0.0303687
+0.0319326
+0.0335667
+0.0352612
+0.0370079
+0.0387996
+0.0406305
+0.0424954
+0.0443901
+0.0462911
+0.0474598
+0.0486928
+0.0499915
+0.0513508
+0.052753
+0.0541918
+0.0556734
+0.0654943
+0.0634096
+0.0613322
+0.0592631
+0.057203
+0.0551529
+0.0531109
+0.0510791
+0.0490609
+0.0470581
+0.0450729
+0.0431075
+0.0411649
+0.0392484
+0.0373621
+0.0353979
+0.0333905
+0.0314077
+0.0294543
+0.0275367
+0.0256628
+0.023843
+0.0220906
+0.020423
+0.0188628
+0.0174062
+0.0160929
+0.0149862
+0.0141348
+0.0135865
+0.0129153
+0.0116389
+0.0106365
+0.0100169
+0.00979767
+0.0100473
+0.0106879
+0.00960507
+0.00886815
+0.00859703
+0.00876625
+0.00936469
+0.0103171
+0.0115189
+0.0129231
+0.0145101
+0.0161824
+0.0179214
+0.0183157
+0.0168933
+0.0156307
+0.0145573
+0.0133742
+0.0123591
+0.0116647
+0.0113373
+0.0111913
+0.0111554
+0.011176
+0.011377
+0.0116922
+0.0123295
+0.0129509
+0.0134743
+0.013734
+0.0139969
+0.0145441
+0.0153675
+0.0164435
+0.0174603
+0.0184316
+0.0195573
+0.0206724
+0.0210167
+0.02156
+0.0223061
+0.0232355
+0.0242938
+0.0254924
+0.0265599
+0.0276718
+0.0289072
+0.0302444
+0.0316632
+0.0331662
+0.0347423
+0.0363821
+0.0380773
+0.039821
+0.0416069
+0.0434299
+0.0452855
+0.0471699
+0.0490026
+0.0501994
+0.0514601
+0.0527816
+0.0536007
+0.0544008
+0.0552755
+0.0651165
+0.0630193
+0.0609287
+0.0588454
+0.0567701
+0.0547038
+0.0526444
+0.0505938
+0.0485555
+0.046531
+0.0445222
+0.0425314
+0.0405612
+0.0386148
+0.0366959
+0.0348091
+0.03296
+0.0311456
+0.0292784
+0.0273484
+0.0254607
+0.0236253
+0.0218555
+0.0201684
+0.0185868
+0.0171065
+0.0157683
+0.0146371
+0.013764
+0.0132004
+0.012972
+0.0122924
+0.0113478
+0.0107205
+0.0105154
+0.0107617
+0.0111802
+0.0101501
+0.00947609
+0.00920286
+0.00937006
+0.00995784
+0.0108967
+0.012103
+0.0134466
+0.0149775
+0.0166028
+0.0183019
+0.019419
+0.0180619
+0.0168592
+0.0157831
+0.0146082
+0.013682
+0.0130488
+0.012757
+0.0126981
+0.0126664
+0.0126675
+0.012805
+0.0130972
+0.0136794
+0.0142754
+0.0148307
+0.0150513
+0.0152916
+0.0158187
+0.0165789
+0.0175809
+0.0185645
+0.0194807
+0.0205492
+0.0217824
+0.0225271
+0.0230348
+0.0237345
+0.0246101
+0.025612
+0.0267516
+0.0280165
+0.0292306
+0.0304027
+0.0316831
+0.0330524
+0.0344948
+0.0360128
+0.0375973
+0.0392401
+0.0409342
+0.0426736
+0.0444529
+0.0462675
+0.0481134
+0.0499872
+0.0513391
+0.0518977
+0.0525417
+0.0532681
+0.0540652
+0.0549289
+0.0648107
+0.0627033
+0.0606017
+0.0585067
+0.056419
+0.0543394
+0.0522656
+0.0501996
+0.0481445
+0.046102
+0.0440737
+0.0420616
+0.0400683
+0.0380968
+0.0361504
+0.0342336
+0.0323516
+0.030501
+0.0286908
+0.0269371
+0.0252519
+0.0236097
+0.0218386
+0.0201502
+0.0185377
+0.0170377
+0.0157009
+0.0145722
+0.0136949
+0.0131275
+0.0128787
+0.0129609
+0.0123718
+0.0117944
+0.0116082
+0.0118318
+0.0120377
+0.0110827
+0.0104399
+0.010169
+0.0103206
+0.010895
+0.0117955
+0.0129793
+0.0142832
+0.015738
+0.0172927
+0.01893
+0.0204951
+0.0193806
+0.0182649
+0.0171244
+0.0160451
+0.0152055
+0.0146314
+0.0143717
+0.0143598
+0.0143318
+0.0143318
+0.0144247
+0.0146847
+0.0152261
+0.0157938
+0.0163544
+0.0165547
+0.0167734
+0.0172554
+0.0179549
+0.018884
+0.0198154
+0.0206763
+0.0217175
+0.0228878
+0.0241292
+0.0246038
+0.0252602
+0.0260845
+0.0270437
+0.0281254
+0.029331
+0.030646
+0.0319784
+0.0331981
+0.0345139
+0.0359081
+0.0373687
+0.038898
+0.040488
+0.042132
+0.0438239
+0.0455583
+0.0473305
+0.0491365
+0.0505988
+0.0510709
+0.0516149
+0.0522442
+0.0529566
+0.0537489
+0.0546177
+0.0645778
+0.0624625
+0.0603525
+0.0582486
+0.0561513
+0.0540613
+0.0519765
+0.0498985
+0.0478305
+0.0457739
+0.0437304
+0.0417018
+0.0396905
+0.0376991
+0.0357311
+0.0337877
+0.0318714
+0.0299922
+0.0281579
+0.0263632
+0.0246248
+0.022964
+0.0213988
+0.0199516
+0.01865
+0.0172416
+0.015922
+0.0148102
+0.0139478
+0.0133911
+0.0131474
+0.0132279
+0.0136434
+0.013122
+0.0129549
+0.0131557
+0.0131974
+0.0123096
+0.0117173
+0.0114487
+0.0115835
+0.0121195
+0.0129455
+0.0140582
+0.015217
+0.016292
+0.0175479
+0.0189743
+0.0205358
+0.0208394
+0.0197591
+0.018625
+0.0176377
+0.0168704
+0.0163549
+0.016123
+0.0161482
+0.0161233
+0.0161225
+0.0161789
+0.0164112
+0.0169157
+0.0174557
+0.0180045
+0.0181982
+0.0183974
+0.0188378
+0.0194805
+0.0203401
+0.0212133
+0.0220196
+0.023007
+0.0241418
+0.0252015
+0.0260587
+0.0268682
+0.0276446
+0.0285683
+0.0295977
+0.0307456
+0.0320026
+0.0333562
+0.0347852
+0.036043
+0.0373871
+0.038801
+0.0402759
+0.0418136
+0.0434074
+0.0450514
+0.0467402
+0.0484693
+0.0499725
+0.0503554
+0.0508298
+0.0513764
+0.0520085
+0.0527241
+0.0535198
+0.0543923
+0.0644185
+0.0622978
+0.0601821
+0.058072
+0.055968
+0.053871
+0.0517785
+0.0496922
+0.0476153
+0.045549
+0.0434949
+0.0414544
+0.0394258
+0.0374132
+0.0354217
+0.0334551
+0.0315181
+0.0296164
+0.0277575
+0.0259349
+0.0241657
+0.022471
+0.0208688
+0.0193821
+0.0180395
+0.0168754
+0.015929
+0.0152224
+0.0145154
+0.0139813
+0.0137349
+0.013812
+0.01423
+0.0146549
+0.0145055
+0.0146851
+0.0145916
+0.0137508
+0.0132128
+0.0127615
+0.0122928
+0.0121979
+0.0124252
+0.0130222
+0.0139417
+0.0151056
+0.0164523
+0.017966
+0.019608
+0.0213435
+0.0212964
+0.0202463
+0.019342
+0.0186444
+0.0181792
+0.0179709
+0.018
+0.0180033
+0.0180019
+0.0180211
+0.0182299
+0.0186948
+0.0192132
+0.0197409
+0.0199471
+0.020129
+0.0205323
+0.0211236
+0.0219188
+0.0227367
+0.0234908
+0.0241885
+0.0247244
+0.0254192
+0.0262692
+0.0272643
+0.0283918
+0.0296385
+0.03099
+0.0321521
+0.0333281
+0.034603
+0.0359662
+0.0374081
+0.0389112
+0.0402936
+0.0417234
+0.0432096
+0.0447537
+0.04635
+0.0479932
+0.0495325
+0.0498225
+0.0502065
+0.0506823
+0.0512304
+0.0518643
+0.0525631
+0.0533167
+0.0541483
+0.0643335
+0.0622099
+0.0600911
+0.0579777
+0.0558702
+0.0537694
+0.0516727
+0.049582
+0.0474987
+0.0454217
+0.0433554
+0.0413019
+0.0392632
+0.0372418
+0.0352406
+0.0332633
+0.0313144
+0.0293996
+0.027526
+0.0256869
+0.0238994
+0.0221843
+0.0205598
+0.019049
+0.0176811
+0.0164918
+0.015522
+0.0147961
+0.0143265
+0.0141834
+0.0143767
+0.0146867
+0.0150804
+0.0157567
+0.0159963
+0.0152325
+0.0146928
+0.0136926
+0.0125119
+0.0116278
+0.0111114
+0.0110063
+0.0112577
+0.0119134
+0.012912
+0.0141609
+0.0155894
+0.0171792
+0.0188897
+0.0206856
+0.0225481
+0.0219662
+0.0211356
+0.0204991
+0.020077
+0.0198885
+0.0199148
+0.0199469
+0.0199449
+0.0199339
+0.0201228
+0.020545
+0.0210467
+0.0215601
+0.0217761
+0.0219428
+0.0223134
+0.0228586
+0.0235954
+0.0240508
+0.0242326
+0.0245733
+0.0251009
+0.0257914
+0.026644
+0.0276398
+0.0287525
+0.0299842
+0.0313209
+0.0325441
+0.0337433
+0.0350386
+0.0364159
+0.0378658
+0.0393841
+0.0409212
+0.0425122
+0.0441546
+0.0458428
+0.047572
+0.0492431
+0.0494378
+0.0497171
+0.0500834
+0.050542
+0.0510906
+0.0516962
+0.0523705
+0.0531267
+0.0539613
+0.064323
+0.0621991
+0.0600799
+0.0579661
+0.0558581
+0.0537558
+0.0516513
+0.0495542
+0.0474655
+0.0453865
+0.0433185
+0.0412631
+0.0392224
+0.0371988
+0.0351952
+0.0332152
+0.0312633
+0.0293452
+0.0274678
+0.0256245
+0.0238323
+0.022112
+0.0204818
+0.0189648
+0.0175903
+0.0163944
+0.0154185
+0.0146876
+0.0142144
+0.0140702
+0.014265
+0.0147854
+0.0155493
+0.0165611
+0.0162891
+0.0155237
+0.0144483
+0.0130167
+0.0117684
+0.0108238
+0.010267
+0.0101532
+0.0104251
+0.01113
+0.012193
+0.0135085
+0.0149992
+0.0166456
+0.0184057
+0.0202445
+0.0221442
+0.0237636
+0.022998
+0.0224145
+0.0220291
+0.0218575
+0.0218815
+0.021937
+0.0219346
+0.0218988
+0.022071
+0.0224565
+0.0229429
+0.023238
+0.0230276
+0.0230246
+0.0232292
+0.0236359
+0.0242343
+0.0244962
+0.0247892
+0.0251336
+0.0256497
+0.0263355
+0.027171
+0.0281527
+0.0292609
+0.030472
+0.0317882
+0.0330613
+0.0342424
+0.0355195
+0.0368825
+0.0383224
+0.0398308
+0.0413975
+0.0430143
+0.04468
+0.0463518
+0.0480627
+0.0491863
+0.0493736
+0.0496368
+0.0499832
+0.050406
+0.0509136
+0.0514973
+0.0521666
+0.0529181
+0.0537485
+0.0643787
+0.0622563
+0.0601387
+0.0580267
+0.0559206
+0.0538153
+0.0517132
+0.0496187
+0.0475329
+0.0454569
+0.0433923
+0.0413406
+0.0393039
+0.0372847
+0.035286
+0.0333114
+0.0313655
+0.029454
+0.027584
+0.025749
+0.0239661
+0.0222562
+0.0206372
+0.0191281
+0.0177573
+0.0165638
+0.0155883
+0.0148722
+0.0144059
+0.0142637
+0.0144559
+0.0149664
+0.0157245
+0.0161719
+0.0151435
+0.0143777
+0.0139008
+0.0126769
+0.0114036
+0.010426
+0.00984673
+0.00972801
+0.0100115
+0.0107435
+0.0118413
+0.0131906
+0.0147083
+0.016376
+0.0181521
+0.0200106
+0.0219301
+0.0238801
+0.024914
+0.0243764
+0.0240225
+0.0238652
+0.0238871
+0.0239622
+0.0239454
+0.023903
+0.0240608
+0.0236458
+0.0231825
+0.0228931
+0.022802
+0.0228809
+0.0230868
+0.023496
+0.0240862
+0.0246065
+0.024786
+0.0251558
+0.0257076
+0.02643
+0.0273095
+0.0283279
+0.0294496
+0.0306869
+0.0320264
+0.0334558
+0.0348722
+0.036127
+0.037468
+0.0388862
+0.0403735
+0.0419209
+0.0435179
+0.0451648
+0.0468562
+0.0485876
+0.049064
+0.0492314
+0.0494954
+0.0498427
+0.0502667
+0.0507757
+0.051361
+0.052032
+0.0527855
+0.0536179
+0.0645028
+0.0623846
+0.0602716
+0.0581644
+0.0560635
+0.0539638
+0.0518676
+0.0497797
+0.0477009
+0.0456326
+0.0435762
+0.0415336
+0.0395069
+0.0374986
+0.0355119
+0.0335506
+0.0316195
+0.0297221
+0.0278506
+0.0260278
+0.024266
+0.0225793
+0.0209806
+0.0194942
+0.0181511
+0.0169853
+0.0160354
+0.0153403
+0.0148886
+0.014751
+0.0149369
+0.0154316
+0.0161678
+0.014995
+0.0138889
+0.0130497
+0.0125397
+0.0123279
+0.01139
+0.0104111
+0.00983101
+0.00972097
+0.0100105
+0.0107426
+0.0118405
+0.0131659
+0.014684
+0.0163542
+0.0181325
+0.0199928
+0.0219138
+0.0238652
+0.0258533
+0.0263743
+0.0260475
+0.0259026
+0.0259228
+0.0260142
+0.0255504
+0.0246595
+0.023914
+0.0232546
+0.0227724
+0.0224682
+0.0223753
+0.0224964
+0.022828
+0.0232382
+0.0236632
+0.0242548
+0.0248336
+0.0252027
+0.0257535
+0.0264746
+0.0273527
+0.0283731
+0.0295005
+0.0307358
+0.0320732
+0.0335006
+0.035007
+0.0365827
+0.0381703
+0.0395634
+0.0410262
+0.0425498
+0.0441241
+0.0457492
+0.0474198
+0.0489488
+0.0490189
+0.0491865
+0.0494507
+0.0497983
+0.0502226
+0.0507321
+0.0513067
+0.0519606
+0.0526975
+0.053514
+0.0647009
+0.0625894
+0.0604836
+0.058384
+0.0562913
+0.0542004
+0.0521138
+0.0500361
+0.0479684
+0.0459122
+0.0438689
+0.0418406
+0.0398295
+0.0378384
+0.0358705
+0.0339299
+0.0320094
+0.0301197
+0.0282735
+0.0264799
+0.0247503
+0.023099
+0.0215389
+0.0200939
+0.0187937
+0.0176702
+0.0167592
+0.0160954
+0.0156655
+0.0155348
+0.0157115
+0.0161824
+0.0154164
+0.0140217
+0.0128489
+0.0119479
+0.0113906
+0.0111946
+0.0113864
+0.0108295
+0.010273
+0.0101677
+0.0104449
+0.0111485
+0.0122099
+0.0134991
+0.0149835
+0.0166236
+0.0183759
+0.0202138
+0.0221156
+0.0240506
+0.0260246
+0.0280308
+0.0280975
+0.0279631
+0.0271867
+0.0259845
+0.0249171
+0.0240028
+0.0232531
+0.0226565
+0.0222605
+0.0220758
+0.0221076
+0.0222802
+0.022615
+0.0229886
+0.0234182
+0.0240158
+0.0246629
+0.0251976
+0.025833
+0.026634
+0.0275484
+0.0285618
+0.0297023
+0.0309366
+0.032269
+0.0336882
+0.0351866
+0.0367545
+0.0383835
+0.0400647
+0.0417836
+0.0432806
+0.0448292
+0.0464296
+0.0480766
+0.0489513
+0.0490446
+0.0492212
+0.0494872
+0.0497807
+0.0501682
+0.0506476
+0.0512162
+0.0518713
+0.0526094
+0.0534161
+0.0649723
+0.06287
+0.0607738
+0.0586846
+0.056603
+0.0545241
+0.0524504
+0.0503865
+0.0483339
+0.0462939
+0.0442683
+0.0422591
+0.0402689
+0.0383006
+0.036353
+0.034423
+0.032526
+0.0306681
+0.028857
+0.027102
+0.0254148
+0.0238097
+0.0222993
+0.0209069
+0.0196606
+0.0185896
+0.0177259
+0.0170941
+0.0166893
+0.0165666
+0.0167324
+0.016354
+0.0147618
+0.0133403
+0.0121017
+0.0111596
+0.0105689
+0.0103522
+0.0105592
+0.0111994
+0.0111363
+0.0110393
+0.0112951
+0.0119488
+0.0129447
+0.0141672
+0.0155881
+0.0171706
+0.0188721
+0.0206659
+0.0225246
+0.0244318
+0.0263773
+0.0283586
+0.0295369
+0.0281033
+0.0267723
+0.0255506
+0.0244643
+0.0235324
+0.0227672
+0.0221576
+0.0217525
+0.0215634
+0.021596
+0.0218232
+0.0222486
+0.0228724
+0.0233768
+0.0239754
+0.024623
+0.025196
+0.0258315
+0.0266325
+0.0275846
+0.0286728
+0.0298745
+0.0311811
+0.0325827
+0.0339961
+0.0354866
+0.0370467
+0.038668
+0.0403408
+0.0420567
+0.043815
+0.0454295
+0.0470095
+0.0486369
+0.0490076
+0.0491005
+0.0492697
+0.0494676
+0.0497493
+0.0501185
+0.05058
+0.0511313
+0.0517695
+0.0524914
+0.0532936
+0.0653161
+0.0632252
+0.0611412
+0.059065
+0.0569973
+0.0549333
+0.0528756
+0.0508291
+0.048795
+0.0467751
+0.0447713
+0.0427858
+0.0408201
+0.0388674
+0.0369388
+0.035041
+0.0331794
+0.0313603
+0.0295916
+0.0278829
+0.0262459
+0.0246949
+0.0232421
+0.0219097
+0.0207237
+0.0197106
+0.0188982
+0.0182859
+0.0179081
+0.0177938
+0.0177677
+0.0160172
+0.0143877
+0.0129252
+0.0116795
+0.010668
+0.0100398
+0.00986199
+0.0100792
+0.0107479
+0.0117917
+0.0122016
+0.01243
+0.0130219
+0.0139296
+0.0150926
+0.0164292
+0.0179345
+0.0195695
+0.0212949
+0.0230994
+0.0249657
+0.0268811
+0.0288332
+0.029176
+0.0278662
+0.0265329
+0.0252996
+0.0242021
+0.0232597
+0.0224852
+0.0218677
+0.0214571
+0.0212654
+0.0212985
+0.0215288
+0.0219599
+0.0225916
+0.0232264
+0.0237552
+0.0243639
+0.0251133
+0.0260151
+0.0268106
+0.0277566
+0.0288383
+0.0300334
+0.0313334
+0.0327284
+0.034207
+0.0357587
+0.0373745
+0.0390464
+0.0407125
+0.04242
+0.0441702
+0.0458888
+0.0475121
+0.049161
+0.0491616
+0.0491781
+0.0492602
+0.0494393
+0.0497144
+0.0500838
+0.0505457
+0.0510973
+0.0517359
+0.0524582
+0.053261
+0.0657312
+0.0636539
+0.0615844
+0.0595236
+0.0574725
+0.0554262
+0.0533875
+0.0513613
+0.0493492
+0.0473502
+0.0453656
+0.0434009
+0.0414587
+0.0395374
+0.0376432
+0.0357828
+0.0339618
+0.032187
+0.0304663
+0.0288095
+0.0272283
+0.0257365
+0.024346
+0.0230774
+0.0219546
+0.021001
+0.020234
+0.0196505
+0.0192994
+0.0191934
+0.0177237
+0.0159683
+0.0143333
+0.0128567
+0.011599
+0.0106038
+0.00997155
+0.0097932
+0.0100142
+0.010687
+0.0117363
+0.0130325
+0.0137935
+0.0143315
+0.015161
+0.0162361
+0.0174855
+0.0189069
+0.0204643
+0.02212
+0.0238622
+0.0256731
+0.0275393
+0.0294478
+0.0288085
+0.0274418
+0.0261743
+0.0250347
+0.0240412
+0.0231916
+0.0224148
+0.0217953
+0.0213833
+0.0211909
+0.0212241
+0.0214552
+0.0218878
+0.0225054
+0.0231206
+0.0236885
+0.0242989
+0.0250503
+0.0259643
+0.0270255
+0.0280988
+0.0291679
+0.03035
+0.0316369
+0.0330192
+0.0344853
+0.036025
+0.0376294
+0.0392904
+0.0409986
+0.0427403
+0.0445216
+0.0463381
+0.0480231
+0.0493177
+0.0492364
+0.0492296
+0.0493116
+0.0494905
+0.0497653
+0.0501344
+0.0505957
+0.0511468
+0.0517848
+0.0525065
+0.0533085
+0.0662161
+0.0641545
+0.0621018
+0.0600588
+0.0580265
+0.0560004
+0.0539794
+0.0519709
+0.0499778
+0.0480018
+0.0460453
+0.0441108
+0.0422014
+0.0403155
+0.0384596
+0.0366407
+0.0348645
+0.0331381
+0.0314695
+0.0298684
+0.0283463
+0.0269165
+0.0255902
+0.0243864
+0.0233267
+0.0224315
+0.0216975
+0.0211543
+0.0208286
+0.0197094
+0.0179043
+0.0161686
+0.0145561
+0.0131046
+0.0118731
+0.0109045
+0.0102907
+0.0101237
+0.0103491
+0.0110014
+0.0120233
+0.0132963
+0.0147814
+0.015837
+0.0165915
+0.0175721
+0.0187326
+0.0200659
+0.0215399
+0.0231239
+0.0247957
+0.026543
+0.028352
+0.0300201
+0.0285688
+0.0271786
+0.0258982
+0.0247459
+0.0237403
+0.0229007
+0.0222413
+0.0217452
+0.0214624
+0.0213105
+0.0213435
+0.0215733
+0.0220035
+0.0226069
+0.0232195
+0.023824
+0.024431
+0.0251784
+0.026088
+0.0271442
+0.0283095
+0.0294862
+0.0307739
+0.0320875
+0.0334512
+0.0348991
+0.0364214
+0.038009
+0.0396541
+0.0413473
+0.0430749
+0.0448429
+0.0466469
+0.0484827
+0.0493956
+0.0493017
+0.0492949
+0.0493768
+0.0495555
+0.0498299
+0.0501985
+0.0506593
+0.0512097
+0.0518469
+0.0525678
+0.0533688
+0.0667695
+0.0647255
+0.0626914
+0.0606683
+0.0586507
+0.0566384
+0.0546398
+0.0526565
+0.0506903
+0.0487432
+0.0468177
+0.0449165
+0.0430428
+0.0411955
+0.0393811
+0.0376067
+0.0358785
+0.0342032
+0.0325892
+0.0310459
+0.0295845
+0.0282175
+0.0269553
+0.0258153
+0.0248166
+0.0239712
+0.0232754
+0.0227699
+0.0219502
+0.020112
+0.0183466
+0.016657
+0.0150968
+0.0137027
+0.0125301
+0.0116059
+0.011031
+0.0108752
+0.0110854
+0.0116968
+0.0126626
+0.0138862
+0.0153142
+0.0169057
+0.018174
+0.0190579
+0.0201329
+0.021379
+0.0227682
+0.0242758
+0.0258813
+0.0275599
+0.0293062
+0.0296814
+0.0283353
+0.0270696
+0.0258009
+0.0246444
+0.0236349
+0.0227917
+0.0221318
+0.0216336
+0.0213493
+0.0212878
+0.0214511
+0.021834
+0.0223234
+0.0229184
+0.0235094
+0.0240407
+0.0246558
+0.0253985
+0.0263031
+0.0273511
+0.0285291
+0.029788
+0.0310632
+0.0324306
+0.0338748
+0.0353958
+0.0369367
+0.0385031
+0.040128
+0.0418045
+0.0435173
+0.0452681
+0.0470558
+0.0488763
+0.0495576
+0.0494641
+0.0494573
+0.0495389
+0.049717
+0.0499905
+0.050358
+0.0508173
+0.051366
+0.0520013
+0.0527129
+0.0534829
+0.0673895
+0.0653649
+0.0633514
+0.0613418
+0.0593399
+0.0573518
+0.055379
+0.0534232
+0.0514863
+0.0495705
+0.0476784
+0.0458129
+0.0439774
+0.042171
+0.0404004
+0.0386729
+0.0369945
+0.0353721
+0.033814
+0.0323292
+0.0309284
+0.0296236
+0.0284239
+0.0273451
+0.0264044
+0.0255928
+0.0249423
+0.0243796
+0.0225265
+0.0207385
+0.0190152
+0.0173907
+0.0159026
+0.0145928
+0.0134574
+0.0125894
+0.0120615
+0.0119191
+0.01212
+0.0126816
+0.0135775
+0.014747
+0.0161057
+0.0176027
+0.0192333
+0.0206694
+0.0216646
+0.0228273
+0.0241332
+0.0255604
+0.0270899
+0.0287051
+0.0303887
+0.029357
+0.0279662
+0.0266831
+0.0255238
+0.0245058
+0.0236296
+0.0228635
+0.0222068
+0.0217111
+0.0214278
+0.0213665
+0.0215292
+0.0219107
+0.0224011
+0.0230414
+0.0235807
+0.0241104
+0.0247613
+0.0255008
+0.0264019
+0.0274462
+0.0286202
+0.0299089
+0.0312946
+0.032744
+0.0342715
+0.035782
+0.0373538
+0.0389854
+0.0406695
+0.0423517
+0.0440526
+0.0457938
+0.0475621
+0.049364
+0.0497517
+0.0496586
+0.049662
+0.049752
+0.0499293
+0.0502017
+0.0505676
+0.0510116
+0.0515043
+0.0520844
+0.0527493
+0.0534956
+0.0680744
+0.0660709
+0.0640698
+0.0620786
+0.0601012
+0.0581391
+0.0561939
+0.0542675
+0.0523618
+0.0504793
+0.0486226
+0.0467947
+0.0449993
+0.0432356
+0.0415105
+0.0398312
+0.0382037
+0.0366349
+0.0351327
+0.0337061
+0.032365
+0.0311205
+0.0299807
+0.0289586
+0.0280451
+0.0272774
+0.0266681
+0.0250854
+0.0232723
+0.0215297
+0.0198735
+0.0183252
+0.0169195
+0.0156948
+0.0146457
+0.0138523
+0.0133744
+0.0132461
+0.0134265
+0.0139355
+0.0147555
+0.0158383
+0.017111
+0.018527
+0.0200827
+0.021748
+0.0233018
+0.0243865
+0.0256131
+0.0269621
+0.0284162
+0.02996
+0.030659
+0.029166
+0.0277657
+0.0264728
+0.0253038
+0.0242592
+0.0233522
+0.0226216
+0.022085
+0.0217471
+0.0215936
+0.0216617
+0.021828
+0.0221933
+0.0226884
+0.0233208
+0.0238538
+0.0243776
+0.0250585
+0.0257895
+0.0266809
+0.0277146
+0.0288778
+0.0301555
+0.0315337
+0.0329967
+0.0345138
+0.0360994
+0.0377455
+0.0394447
+0.041123
+0.0428351
+0.0445892
+0.0463792
+0.048156
+0.0499431
+0.0499933
+0.0499006
+0.0498922
+0.0499484
+0.050088
+0.0503226
+0.050651
+0.0510658
+0.0515579
+0.0521375
+0.0528016
+0.0535473
+0.0688223
+0.06683
+0.0648495
+0.062883
+0.0609317
+0.0589973
+0.0570814
+0.0551859
+0.0533131
+0.0514653
+0.0496455
+0.0478568
+0.0461027
+0.0443827
+0.042704
+0.0410735
+0.0394972
+0.0379819
+0.0365352
+0.0351655
+0.0338822
+0.0326954
+0.0316009
+0.0306148
+0.0297522
+0.0290297
+0.0277403
+0.0259278
+0.024178
+0.0225056
+0.0209268
+0.0194625
+0.0181451
+0.0170088
+0.0160465
+0.0153257
+0.0148952
+0.0147801
+0.0149414
+0.0154004
+0.0161462
+0.0171414
+0.0183243
+0.0196531
+0.0211259
+0.0227149
+0.0243938
+0.026025
+0.0271777
+0.0284527
+0.0298342
+0.0313082
+0.0306083
+0.0291137
+0.0277117
+0.0264173
+0.0252469
+0.0241883
+0.0232785
+0.0225455
+0.022007
+0.0216679
+0.0215139
+0.0215823
+0.0217951
+0.022172
+0.0227362
+0.0234432
+0.0239946
+0.0246287
+0.0254362
+0.0262585
+0.0271344
+0.0281515
+0.0292973
+0.0305574
+0.0319184
+0.0333677
+0.0348844
+0.0364539
+0.0380847
+0.0397694
+0.0415014
+0.043275
+0.0450853
+0.0468798
+0.0486769
+0.0504805
+0.0502379
+0.0500901
+0.0500378
+0.0500814
+0.0502206
+0.0504546
+0.0507821
+0.0512014
+0.0516923
+0.0522704
+0.0529329
+0.0536767
+0.0696187
+0.0676489
+0.0656931
+0.0637526
+0.0618288
+0.0599233
+0.058038
+0.0561748
+0.0543361
+0.0525243
+0.0507425
+0.0489932
+0.0472751
+0.0455976
+0.0439653
+0.0423833
+0.0408576
+0.0393947
+0.0380017
+0.0366869
+0.0354587
+0.0343177
+0.0332699
+0.0323346
+0.0315192
+0.0304789
+0.0286722
+0.0269225
+0.0252418
+0.0236447
+0.0221441
+0.0207658
+0.0195365
+0.0184859
+0.0175969
+0.0169424
+0.0165541
+0.0164507
+0.0165876
+0.0170023
+0.0176806
+0.0185938
+0.0197071
+0.0209483
+0.022336
+0.0238444
+0.0254486
+0.0271198
+0.0288166
+0.030022
+0.0313344
+0.032057
+0.0306122
+0.0292191
+0.0278225
+0.0265335
+0.0253685
+0.0243153
+0.0234104
+0.0226817
+0.0221466
+0.0218096
+0.0216566
+0.0217245
+0.0219359
+0.0223105
+0.0228713
+0.0235742
+0.0242378
+0.0248656
+0.0256657
+0.0266225
+0.0276902
+0.0287491
+0.029872
+0.0311089
+0.0324467
+0.0338734
+0.0353723
+0.0369211
+0.0385322
+0.0401981
+0.0419124
+0.0436693
+0.0454638
+0.0472918
+0.0491494
+0.0507065
+0.050465
+0.0503178
+0.0502658
+0.0503092
+0.0504474
+0.0506621
+0.0509701
+0.0513698
+0.051859
+0.0524352
+0.0530957
+0.0538372
+0.0704733
+0.0685281
+0.0665981
+0.0646847
+0.0627895
+0.0609141
+0.0590604
+0.0572305
+0.0554268
+0.0536519
+0.0519054
+0.0501914
+0.0485158
+0.0468827
+0.0452967
+0.0437629
+0.042287
+0.0408752
+0.0395345
+0.0382723
+0.0370944
+0.035994
+0.0349964
+0.0341085
+0.0332807
+0.0314823
+0.0297366
+0.0280534
+0.0264438
+0.0249186
+0.0234989
+0.0222049
+0.0210597
+0.0200631
+0.0192438
+0.0186472
+0.0182951
+0.0182016
+0.0183268
+0.0187029
+0.0193216
+0.0201606
+0.0211937
+0.0223835
+0.0236872
+0.0251146
+0.0266422
+0.0282428
+0.0299183
+0.0316495
+0.0329121
+0.0320711
+0.030627
+0.0292734
+0.028009
+0.0268287
+0.025677
+0.0246372
+0.0237446
+0.0230265
+0.0224995
+0.022168
+0.0220174
+0.0220843
+0.0222923
+0.022661
+0.0232132
+0.0239061
+0.0246712
+0.0252909
+0.0260779
+0.0270201
+0.0280727
+0.0292271
+0.0304055
+0.0316801
+0.033051
+0.0345066
+0.0359868
+0.0375106
+0.0390974
+0.0407402
+0.0424326
+0.0441688
+0.0459439
+0.0477535
+0.0495938
+0.0510256
+0.0507856
+0.0506211
+0.050551
+0.0505759
+0.0506954
+0.0509091
+0.0512156
+0.0516134
+0.0521003
+0.0526739
+0.0533314
+0.0540697
+0.0713849
+0.0694652
+0.067562
+0.0656767
+0.063811
+0.0619665
+0.0601452
+0.0583493
+0.0565809
+0.054838
+0.0531283
+0.051455
+0.0498219
+0.0482331
+0.0466929
+0.0452065
+0.0437793
+0.0424173
+0.0411269
+0.0399151
+0.0387744
+0.0377231
+0.0367724
+0.0359284
+0.034342
+0.0326022
+0.0309198
+0.0293027
+0.0277617
+0.026313
+0.0249727
+0.023759
+0.0226849
+0.021744
+0.0209904
+0.0204448
+0.0201241
+0.0200392
+0.0201541
+0.0204968
+0.0210629
+0.0218351
+0.0227924
+0.0239081
+0.0251333
+0.0264829
+0.0279394
+0.029486
+0.0310946
+0.0327707
+0.0337521
+0.0322331
+0.0307811
+0.0294207
+0.0281438
+0.0269726
+0.0259338
+0.025044
+0.0242727
+0.0235707
+0.0230562
+0.0227327
+0.0225859
+0.0226511
+0.0228539
+0.0232137
+0.0237532
+0.0244307
+0.0249763
+0.0255645
+0.0263082
+0.0272083
+0.02825
+0.0293965
+0.0306547
+0.0320085
+0.0334493
+0.034968
+0.0365395
+0.0381139
+0.0397467
+0.0413914
+0.0430581
+0.0447701
+0.0465222
+0.0483101
+0.0498718
+0.0513819
+0.0511255
+0.0509621
+0.0508925
+0.0509171
+0.0510359
+0.0512481
+0.0515526
+0.0519478
+0.0524309
+0.0529736
+0.0535999
+0.0543074
+0.0723514
+0.070458
+0.0685824
+0.0667259
+0.0648903
+0.0630774
+0.0612892
+0.059525
+0.0577879
+0.0560825
+0.0544119
+0.0527794
+0.0511885
+0.0496434
+0.0481484
+0.0467084
+0.0453285
+0.0440144
+0.0427722
+0.0415997
+0.0405032
+0.039498
+0.038591
+0.0372399
+0.0355069
+0.0338271
+0.0322059
+0.0306543
+0.0291847
+0.0278102
+0.0265456
+0.0254072
+0.0243818
+0.0235089
+0.0228137
+0.0223127
+0.0220193
+0.0219417
+0.0220478
+0.0223615
+0.0228815
+0.0235942
+0.0244829
+0.0255274
+0.0266798
+0.0279549
+0.0293384
+0.0308156
+0.0323738
+0.0339895
+0.0340298
+0.0325149
+0.031076
+0.0297219
+0.0284472
+0.0272874
+0.026256
+0.0253723
+0.0246233
+0.0240463
+0.0236208
+0.0233937
+0.0233433
+0.02341
+0.0236063
+0.0239548
+0.0244779
+0.0249064
+0.0253296
+0.0259189
+0.0266527
+0.0275416
+0.0285711
+0.0297052
+0.0309509
+0.0322973
+0.0337323
+0.0352452
+0.0368223
+0.0384575
+0.0401458
+0.0418806
+0.0436564
+0.0454684
+0.0470935
+0.04869
+0.0501769
+0.0516329
+0.051527
+0.0513649
+0.0512959
+0.0513204
+0.0514383
+0.0516421
+0.0519264
+0.0522933
+0.0527461
+0.0532851
+0.0539078
+0.0546113
+0.0733705
+0.0715042
+0.0696567
+0.0678297
+0.0660248
+0.0642435
+0.062484
+0.0607525
+0.0590515
+0.0573837
+0.0557521
+0.05416
+0.0526109
+0.0511088
+0.0496579
+0.0482629
+0.0469288
+0.0456608
+0.0444613
+0.0433265
+0.0422749
+0.0413128
+0.0401614
+0.0384418
+0.0367656
+0.0351423
+0.0335835
+0.0320985
+0.0306982
+0.0293946
+0.0282011
+0.0271172
+0.0261522
+0.0253404
+0.0246968
+0.0242348
+0.0239649
+0.0238937
+0.0239921
+0.0242807
+0.0247604
+0.0254205
+0.0262474
+0.0272257
+0.0283115
+0.0295162
+0.0308297
+0.0322387
+0.0337312
+0.0352966
+0.034262
+0.0328102
+0.0314376
+0.0301508
+0.0289034
+0.0277594
+0.0267463
+0.0258785
+0.0251442
+0.0245429
+0.0241263
+0.0239039
+0.0238546
+0.0239937
+0.0242377
+0.024615
+0.0250692
+0.0254227
+0.0258375
+0.0264274
+0.02717
+0.0280425
+0.0290543
+0.0301703
+0.0313975
+0.0327255
+0.0341425
+0.035638
+0.0371984
+0.0388179
+0.0404911
+0.0422117
+0.0439741
+0.0457735
+0.0474274
+0.0489468
+0.0503431
+0.0517944
+0.0519197
+0.0517588
+0.0516903
+0.0517146
+0.0518316
+0.0520406
+0.0523387
+0.0527
+0.0531492
+0.0536842
+0.0543023
+0.0549881
+0.0744402
+0.0726014
+0.0707825
+0.0689853
+0.067209
+0.0654559
+0.0637298
+0.0620331
+0.0603681
+0.0587377
+0.0571448
+0.0555926
+0.0540846
+0.0526246
+0.0512167
+0.0498653
+0.0485752
+0.0473513
+0.0461851
+0.0450937
+0.0440843
+0.0431059
+0.0413945
+0.0397275
+0.0381044
+0.0365406
+0.035044
+0.0336236
+0.0322895
+0.0310527
+0.0299233
+0.0288861
+0.0279822
+0.027225
+0.026627
+0.0261991
+0.0259496
+0.0258838
+0.0259757
+0.0262424
+0.0266869
+0.0273005
+0.028072
+0.028989
+0.0300145
+0.0311534
+0.0324006
+0.033744
+0.0351727
+0.0360004
+0.0344826
+0.0330404
+0.0316778
+0.0304012
+0.0292332
+0.0281738
+0.027245
+0.0264345
+0.0257852
+0.0252207
+0.0248155
+0.0245993
+0.0245437
+0.0246671
+0.0248866
+0.0252541
+0.0257197
+0.0261132
+0.0265172
+0.0270923
+0.0278284
+0.028694
+0.0296837
+0.0307845
+0.0319882
+0.0332926
+0.0346865
+0.0361595
+0.0376983
+0.0392972
+0.0409508
+0.0426528
+0.0443978
+0.0461807
+0.0478451
+0.0492147
+0.0506036
+0.0520477
+0.052401
+0.0522416
+0.0521738
+0.0521979
+0.0523138
+0.0525209
+0.0528129
+0.0531638
+0.053602
+0.0541188
+0.0547081
+0.0553778
+0.0755583
+0.0737474
+0.0719572
+0.070186
+0.0684389
+0.0667181
+0.0650255
+0.0633635
+0.0617345
+0.0601411
+0.0585864
+0.0570734
+0.0556056
+0.0541865
+0.0528203
+0.051511
+0.0502631
+0.0490727
+0.047947
+0.0468967
+0.0459269
+0.0443653
+0.0427044
+0.0410862
+0.0395189
+0.0380133
+0.0365771
+0.0352185
+0.0339472
+0.032773
+0.0316871
+0.0307094
+0.0298608
+0.0291525
+0.0285948
+0.0281967
+0.0279651
+0.0279041
+0.0279901
+0.0282379
+0.0286514
+0.0292238
+0.0299458
+0.030807
+0.0317773
+0.0328552
+0.0340401
+0.0353212
+0.0366885
+0.0363426
+0.0348398
+0.033413
+0.0320483
+0.0307742
+0.0296076
+0.0285616
+0.02765
+0.0268643
+0.0262256
+0.025758
+0.0254709
+0.0253466
+0.0253744
+0.0254939
+0.0257063
+0.0260622
+0.0265306
+0.0269269
+0.0273558
+0.0279137
+0.0286287
+0.0294708
+0.0304352
+0.0315226
+0.0327152
+0.0339918
+0.0353581
+0.0368042
+0.0383172
+0.0398912
+0.0415212
+0.0432008
+0.0449244
+0.0466872
+0.0482188
+0.0495782
+0.0509571
+0.0523915
+0.0529687
+0.052811
+0.0527439
+0.0527677
+0.0528824
+0.0530766
+0.0533185
+0.0536488
+0.0540528
+0.0545208
+0.0550721
+0.0557041
+0.0767227
+0.0749377
+0.073173
+0.0714318
+0.069716
+0.0680275
+0.0663683
+0.0647408
+0.0631473
+0.0615905
+0.0600733
+0.0585987
+0.05717
+0.0557908
+0.0544648
+0.053196
+0.0519846
+0.050829
+0.049743
+0.0487314
+0.0473524
+0.0456951
+0.0440767
+0.0425068
+0.0409939
+0.0395445
+0.0381659
+0.036866
+0.0356534
+0.0345374
+0.0335012
+0.0325781
+0.0317794
+0.0311148
+0.0305929
+0.0302211
+0.0300051
+0.0299483
+0.0300293
+0.0302603
+0.0306466
+0.0311824
+0.0318601
+0.0326709
+0.0335905
+0.034612
+0.0357387
+0.036961
+0.0382697
+0.0367957
+0.0353122
+0.0338871
+0.0325376
+0.0312835
+0.0301366
+0.0291095
+0.0282053
+0.0274394
+0.0268144
+0.0263572
+0.0260764
+0.0259441
+0.0259948
+0.026229
+0.0266419
+0.0270242
+0.0274841
+0.0278799
+0.0283162
+0.0288783
+0.02957
+0.030386
+0.0313222
+0.0323798
+0.0335466
+0.03481
+0.0361501
+0.0375657
+0.0390492
+0.0405949
+0.0421977
+0.0438514
+0.0455504
+0.0472899
+0.0486884
+0.0500349
+0.0514017
+0.0528239
+0.0536167
+0.0534608
+0.0533945
+0.0533649
+0.0533914
+0.0535076
+0.053713
+0.0540065
+0.0543867
+0.0548519
+0.0553999
+0.0560282
+0.0778641
+0.0761688
+0.0744333
+0.0727223
+0.0710377
+0.0693813
+0.0677553
+0.0661619
+0.0646035
+0.0630827
+0.0616022
+0.0601651
+0.0587745
+0.0574338
+0.0561467
+0.0549164
+0.053735
+0.0526178
+0.0515696
+0.050353
+0.0486992
+0.0470804
+0.0455086
+0.0439899
+0.0425297
+0.0411345
+0.039811
+0.0385666
+0.0374091
+0.0363427
+0.0353581
+0.0344847
+0.0337312
+0.0331057
+0.0326157
+0.0322673
+0.0320651
+0.0320119
+0.0320884
+0.0323047
+0.0326668
+0.03317
+0.0338079
+0.034573
+0.0354464
+0.0364158
+0.0374883
+0.0386553
+0.0388922
+0.0373635
+0.0358995
+0.0344896
+0.0331647
+0.0319352
+0.0308074
+0.0297933
+0.0289099
+0.0281632
+0.0275546
+0.0271099
+0.026837
+0.0267085
+0.0267577
+0.0269853
+0.0273868
+0.0279244
+0.0285742
+0.0289675
+0.0293995
+0.0299434
+0.030613
+0.0314213
+0.0323336
+0.0333591
+0.0344928
+0.0357227
+0.0370415
+0.0384372
+0.0398883
+0.0414027
+0.0429754
+0.0446002
+0.0462718
+0.0479685
+0.0492509
+0.0505825
+0.0519349
+0.0533429
+0.0542471
+0.0540072
+0.0538554
+0.0537925
+0.0538187
+0.053934
+0.0541378
+0.054429
+0.0548063
+0.055268
+0.0558118
+0.0564356
+0.0785521
+0.0774424
+0.075736
+0.0740551
+0.0724015
+0.0707771
+0.0691839
+0.0676242
+0.0661002
+0.0646147
+0.0631701
+0.0617695
+0.0604158
+0.0591124
+0.0578626
+0.0566614
+0.0555167
+0.0544361
+0.0533647
+0.0517135
+0.0500955
+0.0485225
+0.046999
+0.04553
+0.0441209
+0.0427776
+0.0415065
+0.0403145
+0.0392087
+0.038187
+0.0372512
+0.0364232
+0.0357106
+0.0351205
+0.0346589
+0.0343313
+0.0341413
+0.0340913
+0.0341639
+0.0343672
+0.0347078
+0.0351817
+0.0357838
+0.0365074
+0.0373386
+0.0382601
+0.0392823
+0.0403975
+0.0395422
+0.0380396
+0.036589
+0.0352068
+0.0339099
+0.0327084
+0.0316061
+0.0306184
+0.0297595
+0.0290325
+0.0284426
+0.028012
+0.0277481
+0.0276259
+0.0276735
+0.0278936
+0.0282822
+0.028803
+0.0294751
+0.0301656
+0.0306015
+0.0311244
+0.0317691
+0.0325488
+0.0334523
+0.0344501
+0.035549
+0.0367436
+0.0380269
+0.0393904
+0.040826
+0.0423086
+0.0438488
+0.0454424
+0.0470841
+0.0486382
+0.0499034
+0.0511934
+0.0525416
+0.0539434
+0.0547555
+0.0545178
+0.0543674
+0.0543051
+0.0543311
+0.0544453
+0.0546471
+0.0549357
+0.0553095
+0.055767
+0.0562818
+0.0568518
+0.0792699
+0.0787563
+0.077079
+0.0754281
+0.0738052
+0.0722124
+0.0706516
+0.069125
+0.0676348
+0.0661837
+0.0647742
+0.063409
+0.0620911
+0.0608236
+0.0596051
+0.0584359
+0.0573267
+0.0562808
+0.0547364
+0.0531202
+0.0515464
+0.0500191
+0.0485426
+0.0471217
+0.0457616
+0.0444679
+0.0432465
+0.0421038
+0.0410462
+0.0400663
+0.0391754
+0.0383889
+0.0377135
+0.0371551
+0.0367192
+0.0364101
+0.036231
+0.0361839
+0.036253
+0.0364446
+0.0367659
+0.0372137
+0.0377834
+0.0384656
+0.0392561
+0.0401392
+0.0411147
+0.0418333
+0.040296
+0.0388171
+0.0373925
+0.0360411
+0.0347753
+0.0336048
+0.0325328
+0.0315742
+0.0307388
+0.0300228
+0.0294528
+0.0290372
+0.0287827
+0.0286815
+0.0287274
+0.0289395
+0.0293117
+0.0298119
+0.0304618
+0.031252
+0.0319004
+0.0324086
+0.0330303
+0.0337808
+0.0346522
+0.035637
+0.0367056
+0.0378638
+0.0391104
+0.0404374
+0.041837
+0.0433023
+0.0448124
+0.0463729
+0.047333
+0.0482649
+0.0492767
+0.0503635
+0.0515206
+0.0527433
+0.0540272
+0.0549992
+0.0548501
+0.0547883
+0.0548092
+0.0549055
+0.0550888
+0.0553583
+0.0557127
+0.0561503
+0.0566693
+0.0572433
+0.0800412
+0.0795881
+0.0784602
+0.0768389
+0.0752465
+0.0736848
+0.0721559
+0.0706618
+0.0692047
+0.0677872
+0.0664117
+0.0650809
+0.0637976
+0.0625637
+0.0613727
+0.0602379
+0.0591624
+0.0577673
+0.0561529
+0.0545786
+0.0530481
+0.0515653
+0.0501344
+0.0487599
+0.0474468
+0.0462003
+0.0450259
+0.0439295
+0.0429169
+0.0419745
+0.041125
+0.0403765
+0.0397349
+0.0392054
+0.0387925
+0.0385
+0.0383307
+0.0382862
+0.0383534
+0.0385345
+0.0388386
+0.0392627
+0.0398002
+0.0404462
+0.0411988
+0.0420484
+0.0429806
+0.0426546
+0.0411438
+0.0396964
+0.0383045
+0.0369865
+0.0357542
+0.0346168
+0.0335772
+0.0326492
+0.031827
+0.031136
+0.0305867
+0.0301867
+0.0299421
+0.0298394
+0.0298835
+0.0300875
+0.0304481
+0.0309422
+0.0315688
+0.0323319
+0.0329853
+0.0336572
+0.0343572
+0.0351065
+0.0359457
+0.036896
+0.0379492
+0.0390748
+0.040284
+0.0415735
+0.0429361
+0.0436468
+0.044346
+0.0451379
+0.0460101
+0.0469683
+0.0480074
+0.0491223
+0.0503079
+0.0515594
+0.0528721
+0.0542415
+0.0553251
+0.055259
+0.0552678
+0.0553633
+0.0555451
+0.0558123
+0.0561638
+0.056598
+0.057113
+0.0577065
+0.0808645
+0.0804161
+0.0798775
+0.0782857
+0.0767233
+0.0751923
+0.0736946
+0.0722323
+0.0708077
+0.0694229
+0.0680804
+0.0667829
+0.0655328
+0.0643247
+0.0631669
+0.0620649
+0.060805
+0.0591924
+0.0576179
+0.0560847
+0.0545965
+0.0531568
+0.0517699
+0.05044
+0.0491718
+0.0479702
+0.0468402
+0.0457872
+0.0448102
+0.0439062
+0.0430948
+0.0423811
+0.0417703
+0.0412669
+0.0408748
+0.0405973
+0.0404368
+0.0403946
+0.0404634
+0.0406351
+0.0409236
+0.0413243
+0.0418324
+0.0424475
+0.0431652
+0.0439804
+0.0448759
+0.0435666
+0.0420886
+0.0406748
+0.0393176
+0.0380347
+0.0368375
+0.0357346
+0.0347284
+0.0338192
+0.0330248
+0.0323594
+0.0318312
+0.031447
+0.0312112
+0.0310994
+0.0311417
+0.0313375
+0.0316839
+0.032176
+0.032785
+0.0335204
+0.0341565
+0.0348059
+0.0354832
+0.0362582
+0.0371464
+0.0381399
+0.0392307
+0.0403668
+0.040777
+0.0411841
+0.0416975
+0.0423156
+0.0430364
+0.043852
+0.0447492
+0.0457338
+0.0468004
+0.0479433
+0.0491574
+0.0504375
+0.0517786
+0.0531761
+0.0546231
+0.0557995
+0.0558086
+0.0559032
+0.0560833
+0.056348
+0.0566961
+0.0571263
+0.0576365
+0.0582186
+0.0817383
+0.0812946
+0.0809003
+0.0797663
+0.0782335
+0.0767327
+0.0752657
+0.0738345
+0.0724413
+0.0710884
+0.069778
+0.0685126
+0.0672898
+0.0661113
+0.0649854
+0.0638485
+0.0622376
+0.060663
+0.0591277
+0.0576347
+0.0561876
+0.0547898
+0.0534452
+0.0521581
+0.0509326
+0.0497735
+0.0486854
+0.0476732
+0.0467273
+0.0458612
+0.0450849
+0.0444033
+0.0438206
+0.043341
+0.0429679
+0.042704
+0.0425515
+0.0425114
+0.0425784
+0.0427417
+0.043016
+0.0433958
+0.0438798
+0.0444666
+0.0451522
+0.0459322
+0.0460705
+0.0445678
+0.0431241
+0.0417454
+0.0404242
+0.0391775
+0.0380163
+0.0369486
+0.035966
+0.0350835
+0.0343183
+0.0336785
+0.0331713
+0.0328029
+0.0325656
+0.0324585
+0.032499
+0.0326866
+0.0330189
+0.0334914
+0.0340984
+0.0348064
+0.0354246
+0.0360512
+0.0367055
+0.0374552
+0.0383157
+0.0389286
+0.0389872
+0.0391684
+0.0394706
+0.039891
+0.0404208
+0.0410581
+0.0418007
+0.0426399
+0.0435621
+0.0445729
+0.0456666
+0.0468372
+0.0480793
+0.0493873
+0.0507561
+0.0521761
+0.0536465
+0.0551647
+0.0564289
+0.0565229
+0.056701
+0.0569628
+0.0573073
+0.0577278
+0.0581371
+0.0586254
+0.0826609
+0.0822222
+0.0818323
+0.0812791
+0.0797754
+0.0783041
+0.076867
+0.0754663
+0.0741038
+0.0727817
+0.0715024
+0.0702664
+0.0690692
+0.0679216
+0.0668262
+0.0652878
+0.0637133
+0.0621761
+0.0606791
+0.0592253
+0.0578179
+0.0564605
+0.0551567
+0.0539104
+0.0527257
+0.0516069
+0.0505583
+0.0495815
+0.0486676
+0.0478366
+0.0470929
+0.0464407
+0.045884
+0.0454262
+0.0450703
+0.0448188
+0.0446735
+0.0446353
+0.0446982
+0.0448538
+0.0451153
+0.0454784
+0.0459405
+0.0465013
+0.0471573
+0.0479047
+0.0471203
+0.0456522
+0.0442439
+0.0428993
+0.0416115
+0.0404015
+0.0392765
+0.0382339
+0.0372764
+0.0364257
+0.0356893
+0.0350745
+0.0345878
+0.0342346
+0.0340073
+0.0339047
+0.0339435
+0.0341232
+0.0344416
+0.0348949
+0.0354778
+0.03594
+0.0359255
+0.0360443
+0.0362953
+0.0366756
+0.0371745
+0.0376834
+0.037744
+0.0379311
+0.0382431
+0.0386768
+0.0392251
+0.0398815
+0.0406455
+0.0414992
+0.0424462
+0.043483
+0.0446034
+0.0458012
+0.0470706
+0.0484029
+0.049792
+0.0512372
+0.0527338
+0.0542775
+0.0558646
+0.057205
+0.0573453
+0.0575558
+0.0578486
+0.0581984
+0.0586044
+0.0590888
+0.0836307
+0.0831971
+0.0828118
+0.0824791
+0.081347
+0.0799046
+0.0784969
+0.0771257
+0.0757931
+0.074501
+0.0732517
+0.0720389
+0.0708717
+0.0697538
+0.0683424
+0.066768
+0.0652292
+0.0637286
+0.0622689
+0.0608531
+0.0594842
+0.0581657
+0.056901
+0.0556938
+0.0545478
+0.0534671
+0.0524557
+0.0515075
+0.0506283
+0.04983
+0.0491165
+0.0484915
+0.0479586
+0.0475208
+0.0471807
+0.0469405
+0.0468018
+0.0467653
+0.0468245
+0.046973
+0.0472228
+0.0475707
+0.0480127
+0.0485496
+0.0491783
+0.0493799
+0.0481441
+0.0467642
+0.045393
+0.0440881
+0.0428554
+0.0416907
+0.0406014
+0.0395905
+0.0386666
+0.0378471
+0.037139
+0.0365486
+0.0360817
+0.0357433
+0.0355257
+0.0354275
+0.0354646
+0.0356367
+0.0355323
+0.0351364
+0.034874
+0.0347338
+0.0347188
+0.0348418
+0.0351014
+0.0354945
+0.0360042
+0.0365042
+0.0365667
+0.0367598
+0.0370816
+0.0375288
+0.0380968
+0.0387805
+0.0395596
+0.0404334
+0.0414047
+0.042467
+0.0436135
+0.0448377
+0.0461336
+0.0474905
+0.0489055
+0.0503761
+0.0518975
+0.0534654
+0.0550759
+0.0567252
+0.057923
+0.0580913
+0.0583338
+0.058657
+0.0590598
+0.0595406
+0.0846461
+0.0842178
+0.0838372
+0.0835086
+0.0829466
+0.0815326
+0.0801535
+0.0788111
+0.0775074
+0.0762444
+0.0750189
+0.0738338
+0.0726955
+0.0714006
+0.0698265
+0.0682864
+0.0667826
+0.0653177
+0.0638943
+0.0625153
+0.0611836
+0.0599025
+0.0586752
+0.0575053
+0.0563962
+0.0553516
+0.0543747
+0.0534538
+0.0526071
+0.0518393
+0.0511538
+0.0505541
+0.0500431
+0.0496237
+0.0492981
+0.0490683
+0.0489356
+0.0489007
+0.0489565
+0.0490986
+0.0493376
+0.0496715
+0.050095
+0.0506098
+0.0512132
+0.0503486
+0.049018
+0.0476109
+0.0462648
+0.0449851
+0.0437778
+0.0426488
+0.0416046
+0.0406518
+0.0397835
+0.0390113
+0.0383489
+0.037802
+0.0373757
+0.0370741
+0.0369004
+0.0364361
+0.0356526
+0.0349881
+0.034447
+0.0340385
+0.0337675
+0.0336273
+0.0336118
+0.0337388
+0.0340068
+0.0344077
+0.0349322
+0.0354211
+0.0354855
+0.0356845
+0.0360159
+0.0364761
+0.0370603
+0.0377628
+0.0385624
+0.0394583
+0.0404531
+0.0415397
+0.0427111
+0.0439605
+0.0452815
+0.0466631
+0.0481025
+0.0495969
+0.0511415
+0.0527319
+0.054364
+0.0560343
+0.0577394
+0.0586189
+0.0588592
+0.0591718
+0.0595556
+0.0600169
+0.0857022
+0.0852825
+0.0849066
+0.0845822
+0.0843134
+0.0831864
+0.0818352
+0.0805209
+0.0792453
+0.0780082
+0.0768067
+0.0756497
+0.0744622
+0.0728884
+0.0713471
+0.0698405
+0.0683709
+0.0669407
+0.0655526
+0.0642092
+0.0629134
+0.0616682
+0.0604768
+0.0593424
+0.0582682
+0.0572578
+0.0563074
+0.0554183
+0.0546022
+0.0538628
+0.0532034
+0.052627
+0.0521364
+0.0517339
+0.0514217
+0.0512014
+0.0510742
+0.0510409
+0.0510935
+0.0512296
+0.0514587
+0.0517796
+0.0521861
+0.0526805
+0.0526346
+0.0513598
+0.0499226
+0.0485417
+0.0472222
+0.0459692
+0.0447883
+0.0436855
+0.0426667
+0.0417285
+0.0408757
+0.0401246
+0.0394808
+0.0389498
+0.0385362
+0.0374532
+0.0364311
+0.0355126
+0.0347083
+0.0340262
+0.0334699
+0.0330493
+0.0327701
+0.0326305
+0.0326145
+0.0327454
+0.0330215
+0.0334282
+0.0339678
+0.0344435
+0.0345097
+0.0347143
+0.0350549
+0.0355276
+0.0361271
+0.0368373
+0.0376552
+0.0385803
+0.0395999
+0.0407092
+0.0419038
+0.0431766
+0.0445209
+0.0459254
+0.0473872
+0.0489035
+0.0504693
+0.0520802
+0.0537322
+0.0554215
+0.0571449
+0.0587332
+0.0593184
+0.0596363
+0.0600246
+0.0604823
+0.0867719
+0.0863649
+0.0860117
+0.0856984
+0.0854332
+0.0848646
+0.0835405
+0.0822534
+0.0810051
+0.0797892
+0.0786149
+0.0774849
+0.0759532
+0.0744108
+0.0729017
+0.0714279
+0.0699917
+0.0685953
+0.0672413
+0.0659324
+0.0646711
+0.0634605
+0.0623033
+0.0612028
+0.0601618
+0.0591834
+0.0582581
+0.0573992
+0.0566116
+0.0558989
+0.0552638
+0.0547091
+0.0542373
+0.0538506
+0.0535507
+0.0533392
+0.0532171
+0.0531851
+0.0532348
+0.0533655
+0.0535854
+0.0538936
+0.0542851
+0.0547606
+0.0537235
+0.0523156
+0.0509054
+0.049552
+0.0482601
+0.0470347
+0.0458813
+0.0448054
+0.0438064
+0.0426375
+0.041514
+0.040478
+0.0395363
+0.0386959
+0.0377864
+0.0366614
+0.0356314
+0.0346876
+0.0338593
+0.0331553
+0.0325837
+0.0321515
+0.0318644
+0.0317263
+0.0317101
+0.0318447
+0.0321285
+0.0325575
+0.0331205
+0.0335732
+0.0336411
+0.033851
+0.0342002
+0.0346845
+0.0352859
+0.0360059
+0.0368423
+0.0377873
+0.0388331
+0.03997
+0.0411861
+0.0424804
+0.043846
+0.0452764
+0.0467637
+0.0482995
+0.0498843
+0.0515136
+0.0531831
+0.0548893
+0.0566289
+0.0582154
+0.0597677
+0.0601691
+0.0605575
+0.0610112
+0.0878832
+0.0874814
+0.0871327
+0.0868253
+0.0865635
+0.0863565
+0.0852679
+0.0840073
+0.0827801
+0.0815901
+0.0804421
+0.0790206
+0.0774774
+0.075966
+0.0744884
+0.0730466
+0.0716428
+0.0702792
+0.0689583
+0.0676826
+0.0664546
+0.065277
+0.0641526
+0.0630843
+0.062075
+0.0611211
+0.0602253
+0.0593949
+0.0586341
+0.0579462
+0.0573338
+0.0567994
+0.0563451
+0.0559729
+0.0556844
+0.0554811
+0.0553637
+0.0553329
+0.05538
+0.0555056
+0.0557171
+0.0560136
+0.0563911
+0.0561287
+0.0547778
+0.0533444
+0.0518997
+0.0503355
+0.0488194
+0.0473563
+0.045951
+0.0445943
+0.0433002
+0.0420805
+0.0409417
+0.0398908
+0.038935
+0.0380813
+0.0371309
+0.0359855
+0.0349356
+0.0339724
+0.0331262
+0.0324064
+0.0318213
+0.0313786
+0.0310843
+0.0309427
+0.0309261
+0.0310641
+0.031355
+0.0317944
+0.0323765
+0.0328081
+0.0328776
+0.0330923
+0.0334495
+0.0339445
+0.0345563
+0.0352912
+0.0361441
+0.0371069
+0.0381643
+0.0393142
+0.04055
+0.0418639
+0.043249
+0.0446986
+0.0462066
+0.0477674
+0.0493762
+0.0510283
+0.0527179
+0.0544402
+0.0561937
+0.0577761
+0.0593399
+0.0607761
+0.0611607
+0.06161
+0.0890346
+0.0886342
+0.0882796
+0.0879694
+0.087711
+0.0875067
+0.0870163
+0.0857786
+0.0845741
+0.0834097
+0.0820903
+0.0805463
+0.0790329
+0.0775518
+0.076105
+0.0746944
+0.0733222
+0.0719905
+0.0707016
+0.0694578
+0.0682618
+0.0671159
+0.0660229
+0.0649853
+0.0640057
+0.0630751
+0.0622075
+0.0614039
+0.0606683
+0.0600037
+0.0594125
+0.0588969
+0.0584589
+0.0581003
+0.0578225
+0.0576267
+0.0575137
+0.057484
+0.0575286
+0.0576495
+0.0578532
+0.0581388
+0.058252
+0.0565242
+0.0548295
+0.0531711
+0.0515524
+0.0499773
+0.0484501
+0.0469754
+0.0455455
+0.0441708
+0.0428639
+0.0416314
+0.04048
+0.0394168
+0.0384492
+0.0375844
+0.036595
+0.0354323
+0.0343655
+0.0333859
+0.0325245
+0.031791
+0.0311943
+0.0307426
+0.0304422
+0.0302976
+0.0302806
+0.0304216
+0.0307185
+0.0311669
+0.0317605
+0.0321716
+0.0322425
+0.0324614
+0.0328254
+0.0333297
+0.0339526
+0.0347003
+0.035563
+0.0365325
+0.0376048
+0.0387713
+0.0400238
+0.0413545
+0.0427561
+0.0442218
+0.0457444
+0.0473181
+0.0489393
+0.0506034
+0.0523064
+0.0540444
+0.0558144
+0.057417
+0.0589903
+0.060602
+0.0618357
+0.0622801
+0.0902105
+0.0898087
+0.0894587
+0.0891526
+0.0888977
+0.0886962
+0.0885484
+0.087566
+0.0863863
+0.085162
+0.0836174
+0.0821021
+0.0806179
+0.0791665
+0.0777498
+0.0763696
+0.075028
+0.0737271
+0.0724691
+0.0712562
+0.0700908
+0.0689753
+0.0679122
+0.066904
+0.0659474
+0.0650442
+0.0642032
+0.0634249
+0.062713
+0.0620703
+0.061499
+0.061001
+0.0605783
+0.0602322
+0.0599643
+0.0597755
+0.0596666
+0.059638
+0.0596803
+0.0597968
+0.0599932
+0.0597772
+0.0580122
+0.0562771
+0.0545748
+0.0529085
+0.0512816
+0.049698
+0.048162
+0.0466784
+0.0452372
+0.0438528
+0.0425361
+0.0412938
+0.0401327
+0.0390601
+0.0380834
+0.0372101
+0.0361841
+0.0350077
+0.0339275
+0.0329349
+0.0320614
+0.031317
+0.0307112
+0.0302522
+0.0299469
+0.0297999
+0.0297827
+0.029926
+0.0302278
+0.0306834
+0.0312861
+0.0316741
+0.0317461
+0.0319684
+0.032338
+0.0328487
+0.0334685
+0.0342175
+0.0350875
+0.0360698
+0.0371554
+0.0383356
+0.0396019
+0.0409463
+0.0423614
+0.0438403
+0.0453754
+0.0469615
+0.0485946
+0.0502701
+0.051984
+0.0537325
+0.0555124
+0.0571397
+0.0587205
+0.0603394
+0.0619934
+0.0630193
+0.0914172
+0.0910207
+0.0906755
+0.0903735
+0.090122
+0.0899232
+0.0897774
+0.0893713
+0.0882158
+0.0866904
+0.0851734
+0.0836864
+0.0822308
+0.0808084
+0.0794209
+0.0780703
+0.0767584
+0.0754873
+0.0742591
+0.073076
+0.0719401
+0.0708537
+0.0698192
+0.0688387
+0.0679038
+0.0670271
+0.0662112
+0.0654568
+0.0647672
+0.0641451
+0.0635925
+0.063111
+0.0627025
+0.0623682
+0.0621095
+0.0619273
+0.0618221
+0.0617946
+0.0618347
+0.0619472
+0.0614196
+0.0596227
+0.057853
+0.056113
+0.0544055
+0.0527338
+0.0511013
+0.049512
+0.0479701
+0.0464803
+0.0450334
+0.0436425
+0.0423193
+0.0410705
+0.0399029
+0.0388239
+0.0378411
+0.0369621
+0.0359023
+0.0347164
+0.0336269
+0.0326251
+0.031743
+0.0309911
+0.0303787
+0.0299147
+0.0296059
+0.0294571
+0.0294397
+0.0295847
+0.0298899
+0.0303506
+0.0309598
+0.0312995
+0.0313724
+0.0315973
+0.0319712
+0.032481
+0.0331077
+0.0338647
+0.0347436
+0.0357353
+0.0368308
+0.038021
+0.0392974
+0.0406519
+0.0420769
+0.0435655
+0.0451099
+0.046705
+0.0483468
+0.0500306
+0.0517524
+0.0535085
+0.0552956
+0.0569455
+0.0585315
+0.0601555
+0.0618144
+0.0635056
+0.09266
+0.0922689
+0.0919283
+0.0916305
+0.0913824
+0.0911864
+0.0910426
+0.0909514
+0.0897651
+0.0882466
+0.0867569
+0.0852975
+0.0838698
+0.0824757
+0.0811168
+0.0797948
+0.0785118
+0.0772696
+0.0760701
+0.0749156
+0.073808
+0.0727496
+0.0717424
+0.0707835
+0.0698742
+0.0690225
+0.0682305
+0.0674986
+0.0668302
+0.0662274
+0.0656923
+0.0652263
+0.0648311
+0.0645079
+0.0642578
+0.0640817
+0.0639801
+0.0639534
+0.0639915
+0.0631699
+0.0613475
+0.0595484
+0.0577764
+0.056034
+0.0543241
+0.0526498
+0.0510146
+0.0494225
+0.0478777
+0.0463748
+0.0449213
+0.0435294
+0.0422055
+0.040956
+0.039788
+0.0387054
+0.0377191
+0.0368368
+0.0357528
+0.0345617
+0.0334625
+0.0324556
+0.0315689
+0.0308126
+0.0301967
+0.0297298
+0.029419
+0.0292587
+0.0292409
+0.0293868
+0.0296941
+0.0301577
+0.0307708
+0.0310683
+0.0311417
+0.0313683
+0.0317448
+0.0322582
+0.0328891
+0.0336511
+0.0345354
+0.0355329
+0.0366344
+0.0378309
+0.0391135
+0.0404741
+0.0419051
+0.0433996
+0.0449498
+0.0465504
+0.0481974
+0.0498863
+0.0516129
+0.0533736
+0.055165
+0.056835
+0.058424
+0.0600509
+0.0617127
+0.0634066
+0.0939375
+0.0935517
+0.0932158
+0.0929221
+0.0926775
+0.0924842
+0.0923425
+0.0922526
+0.0913215
+0.0898294
+0.0883664
+0.0869339
+0.0855336
+0.084167
+0.0828359
+0.0815418
+0.0802867
+0.0790723
+0.0779007
+0.0767737
+0.0756933
+0.0746616
+0.0736804
+0.0727419
+0.0718574
+0.0710294
+0.07026
+0.0695495
+0.068901
+0.0683165
+0.0677979
+0.0673465
+0.0669638
+0.0666509
+0.0664089
+0.0662385
+0.0661402
+0.0661144
+0.0650206
+0.0631758
+0.0613535
+0.0595546
+0.0577828
+0.0560406
+0.0543309
+0.0526568
+0.0510219
+0.04943
+0.0478729
+0.0463628
+0.0449089
+0.0435166
+0.0421923
+0.0409424
+0.039774
+0.038691
+0.0377043
+0.0368217
+0.0357359
+0.0345361
+0.0334182
+0.0324099
+0.0315218
+0.0307644
+0.0301475
+0.0296798
+0.0293685
+0.0292079
+0.0291901
+0.0293363
+0.0296441
+0.0301085
+0.0307225
+0.0309905
+0.0310641
+0.0312913
+0.0316687
+0.0321833
+0.0328157
+0.0335793
+0.0344654
+0.0354649
+0.0365685
+0.037767
+0.0390518
+0.0404145
+0.0418475
+0.043344
+0.0448961
+0.0464985
+0.0481473
+0.0498379
+0.0515661
+0.0533283
+0.0551213
+0.0568031
+0.0583927
+0.0600202
+0.0616826
+0.0633771
+0.0951703
+0.0948678
+0.0945332
+0.0942419
+0.0940007
+0.0938101
+0.0936704
+0.0935817
+0.0929035
+0.0914372
+0.0900003
+0.0885943
+0.0872207
+0.0858809
+0.0845767
+0.0833097
+0.0820816
+0.0808942
+0.0797494
+0.0786488
+0.0775946
+0.0765885
+0.0756277
+0.0747131
+0.0738522
+0.0730469
+0.072299
+0.0716087
+0.070979
+0.0704118
+0.0699086
+0.069471
+0.0691001
+0.0687969
+0.0685625
+0.0683974
+0.0683022
+0.0669581
+0.0650935
+0.0632497
+0.0614287
+0.0596325
+0.0578636
+0.0561244
+0.0544179
+0.0527471
+0.0511156
+0.0495197
+0.0479614
+0.0464542
+0.0450032
+0.043614
+0.0422927
+0.0410459
+0.0398805
+0.0388005
+0.0378166
+0.0369367
+0.0358286
+0.034632
+0.0335172
+0.032512
+0.0316268
+0.030872
+0.0302573
+0.0297913
+0.0294812
+0.0293212
+0.0293034
+0.0294491
+0.0297557
+0.0302184
+0.0308302
+0.0310615
+0.0311349
+0.0313615
+0.0317381
+0.0322574
+0.0328883
+0.0336503
+0.0345346
+0.0355322
+0.0366337
+0.0378302
+0.0391128
+0.0404735
+0.0419045
+0.043399
+0.0449492
+0.0465498
+0.0481969
+0.0498857
+0.0516124
+0.0533731
+0.0551646
+0.0568451
+0.0584336
+0.06006
+0.0617213
+0.0634148
+0.0962733
+0.0960226
+0.0958214
+0.0955891
+0.0953513
+0.0951634
+0.0950257
+0.0949383
+0.0945099
+0.0930688
+0.0916575
+0.0902773
+0.0889297
+0.0876161
+0.0863381
+0.0850973
+0.0838954
+0.082734
+0.081615
+0.08054
+0.0795108
+0.0785292
+0.0775875
+0.0766963
+0.0758579
+0.0750741
+0.0743466
+0.0736755
+0.0730636
+0.0725127
+0.0720242
+0.0715995
+0.0712397
+0.0709457
+0.0707183
+0.0705583
+0.0689732
+0.067093
+0.0652321
+0.0633924
+0.0615756
+0.0597839
+0.0580196
+0.0562852
+0.0545837
+0.0529181
+0.0512921
+0.0497019
+0.0481495
+0.0466484
+0.0452037
+0.0438208
+0.042506
+0.0412656
+0.0401065
+0.0390328
+0.038055
+0.0371807
+0.0360543
+0.0348655
+0.0337584
+0.0327606
+0.0318824
+0.0311337
+0.0305243
+0.0300625
+0.0297552
+0.0295967
+0.029579
+0.0297233
+0.0300272
+0.0304858
+0.0310923
+0.0312623
+0.0313352
+0.0315604
+0.0319347
+0.0324528
+0.0330877
+0.0338451
+0.0347245
+0.0357168
+0.0368128
+0.0380036
+0.0392806
+0.0406356
+0.0420612
+0.0435503
+0.0450967
+0.0466947
+0.0483391
+0.0500255
+0.0517497
+0.0535075
+0.0552947
+0.0569713
+0.0585564
+0.0601795
+0.0618376
+0.063528
+0.0974091
+0.0971614
+0.0969625
+0.0968129
+0.096704
+0.0965475
+0.0964117
+0.0963256
+0.0961393
+0.094723
+0.0933367
+0.0919817
+0.0906594
+0.0893713
+0.0881187
+0.0869034
+0.0857268
+0.0845906
+0.0834964
+0.0824459
+0.0814408
+0.0804785
+0.0795593
+0.0786905
+0.0778735
+0.0771102
+0.0764021
+0.0757492
+0.0751542
+0.0746187
+0.0741442
+0.0737316
+0.0733823
+0.0730969
+0.0728762
+0.0710662
+0.0691735
+0.0672989
+0.0654439
+0.0636102
+0.0617999
+0.0600149
+0.0582575
+0.0565305
+0.0548366
+0.0531789
+0.0515611
+0.0499796
+0.0484361
+0.0469442
+0.0455088
+0.0441355
+0.0428303
+0.0415973
+0.0404445
+0.03938
+0.038411
+0.037545
+0.0364107
+0.0352339
+0.0341388
+0.0331525
+0.0322849
+0.0315458
+0.0309444
+0.030489
+0.0301861
+0.0300298
+0.0300125
+0.0301546
+0.0304542
+0.0309065
+0.0315049
+0.0316139
+0.0316861
+0.0319088
+0.032279
+0.0327915
+0.0334123
+0.0341626
+0.035034
+0.0360177
+0.0371049
+0.0382866
+0.0395545
+0.0409004
+0.042317
+0.0437975
+0.0453354
+0.0469253
+0.048562
+0.0502408
+0.0519578
+0.0537093
+0.055492
+0.0571813
+0.0587607
+0.0603783
+0.0620311
+0.0637164
+0.098575
+0.0983302
+0.0981338
+0.0979859
+0.0978799
+0.0978203
+0.0978098
+0.0977422
+0.0977064
+0.0963986
+0.0950368
+0.0937064
+0.0924087
+0.0911453
+0.0899175
+0.0887268
+0.0875747
+0.0864628
+0.0853926
+0.0843657
+0.0833837
+0.0824394
+0.0815424
+0.0806948
+0.0798984
+0.0791546
+0.0784649
+0.0778294
+0.0772503
+0.0767295
+0.0762681
+0.0758671
+0.0755276
+0.0751488
+0.0732305
+0.0713279
+0.0694424
+0.0675752
+0.065728
+0.0639025
+0.0621007
+0.0603246
+0.0585765
+0.0568592
+0.0551753
+0.0535282
+0.0519213
+0.0503512
+0.0488194
+0.0473394
+0.0459136
+0.0445498
+0.0432541
+0.0420326
+0.0408921
+0.0398396
+0.038882
+0.0380267
+0.036894
+0.0357331
+0.0346538
+0.0336825
+0.0328289
+0.0321024
+0.0315117
+0.0310645
+0.0307673
+0.030614
+0.0305969
+0.0307364
+0.0310303
+0.0314743
+0.0320622
+0.0321115
+0.0321826
+0.0324019
+0.0327665
+0.0332636
+0.0338758
+0.0346161
+0.0354763
+0.0364481
+0.0375228
+0.0386918
+0.0399468
+0.0412799
+0.042684
+0.0441521
+0.0456781
+0.0472564
+0.048882
+0.0505503
+0.0522571
+0.0539989
+0.0557723
+0.0574741
+0.0590457
+0.0606557
+0.0623011
+0.0639793
+0.0997754
+0.0995336
+0.0993395
+0.0991934
+0.0990904
+0.0990315
+0.0990211
+0.0990591
+0.0991456
+0.0980945
+0.0967565
+0.0954501
+0.0941765
+0.0929371
+0.0917333
+0.0905664
+0.0894381
+0.0883496
+0.0873025
+0.0862984
+0.0853347
+0.0844116
+0.0835357
+0.0827086
+0.0819318
+0.0812066
+0.0805345
+0.0799154
+0.0793516
+0.0788447
+0.0783957
+0.0780057
+0.0773849
+0.0754599
+0.0735498
+0.0716557
+0.069779
+0.0679211
+0.0660836
+0.0642682
+0.0624769
+0.0607118
+0.0589752
+0.0572698
+0.0555984
+0.0539642
+0.0523705
+0.050811
+0.0492909
+0.0478229
+0.0464118
+0.0450632
+0.0437826
+0.0425764
+0.0414508
+0.0404128
+0.0394692
+0.0386269
+0.0374992
+0.0363577
+0.0352974
+0.0343444
+0.0335076
+0.0327961
+0.0322181
+0.0317809
+0.0314904
+0.0313407
+0.0313241
+0.0314603
+0.0317475
+0.0321816
+0.0327568
+0.0327484
+0.0328181
+0.0330332
+0.0333909
+0.0338712
+0.0344726
+0.0352003
+0.0360466
+0.0370034
+0.0380624
+0.0392153
+0.0404541
+0.041771
+0.0431591
+0.0446116
+0.0461224
+0.047686
+0.0492975
+0.0509521
+0.0526459
+0.0543753
+0.0561368
+0.0578484
+0.0594101
+0.0610105
+0.0626466
+0.0643157
+0.101009
+0.10077
+0.100578
+0.100434
+0.100334
+0.100276
+0.100266
+0.100303
+0.100389
+0.0998097
+0.098495
+0.0972119
+0.0959617
+0.0947457
+0.0935651
+0.0924214
+0.0913159
+0.0902501
+0.0892254
+0.0882431
+0.0872965
+0.0863943
+0.0855388
+0.0847312
+0.0839731
+0.0832657
+0.0826103
+0.0820069
+0.0814576
+0.0809639
+0.0805267
+0.0796789
+0.0777489
+0.0758332
+0.0739327
+0.0720487
+0.0701825
+0.0683355
+0.0665092
+0.0647054
+0.062926
+0.0611734
+0.0594499
+0.057758
+0.0561007
+0.054481
+0.0529025
+0.0513552
+0.0498517
+0.0484007
+0.0470071
+0.045676
+0.0444131
+0.0432244
+0.0421162
+0.041095
+0.0401674
+0.0393401
+0.0382206
+0.0371012
+0.0360629
+0.0351306
+0.034313
+0.0336186
+0.033055
+0.032629
+0.0323461
+0.0322003
+0.0321841
+0.0323168
+0.0325964
+0.0330194
+0.0335802
+0.0335065
+0.0335746
+0.0337848
+0.0341347
+0.034607
+0.0351958
+0.0359088
+0.0367388
+0.0376781
+0.0387186
+0.0398525
+0.0410721
+0.0423698
+0.0437389
+0.0451728
+0.0466654
+0.0482114
+0.0498059
+0.0514442
+0.0531223
+0.0548366
+0.0565838
+0.0583027
+0.0598525
+0.0614414
+0.0630663
+0.0647246
+0.102275
+0.102039
+0.10185
+0.101707
+0.10161
+0.101552
+0.101542
+0.101579
+0.101664
+0.101543
+0.100251
+0.0989909
+0.0977634
+0.0965701
+0.0954121
+0.0942908
+0.0932075
+0.0921636
+0.0911603
+0.0901955
+0.0892689
+0.0883869
+0.0875508
+0.086762
+0.0860217
+0.0853313
+0.084692
+0.0841035
+0.0835679
+0.0830867
+0.0820254
+0.0800918
+0.0781716
+0.0762661
+0.0743763
+0.0725034
+0.0706488
+0.068814
+0.0670006
+0.0652103
+0.0634451
+0.0617072
+0.059999
+0.0583231
+0.0566823
+0.0550797
+0.0535182
+0.0519862
+0.0505015
+0.0490697
+0.0476955
+0.0463842
+0.0451412
+0.0439722
+0.0428833
+0.0418808
+0.040971
+0.0401602
+0.0390517
+0.0379568
+0.0369425
+0.036033
+0.0352364
+0.0345605
+0.0340125
+0.0335987
+0.033324
+0.0331825
+0.0331668
+0.0332956
+0.0335671
+0.0339779
+0.0344469
+0.0343738
+0.0344402
+0.0346452
+0.0349865
+0.03546
+0.0360379
+0.0367345
+0.0375463
+0.0384658
+0.0394856
+0.0405981
+0.0417959
+0.0430719
+0.0444193
+0.0458319
+0.0473037
+0.0488296
+0.0504044
+0.0520239
+0.0536839
+0.0553808
+0.0571114
+0.0588351
+0.0603712
+0.0619468
+0.0635588
+0.0652046
+0.103571
+0.103338
+0.103151
+0.103011
+0.102916
+0.10286
+0.102849
+0.102886
+0.102969
+0.103099
+0.102024
+0.100786
+0.0995807
+0.0984094
+0.0972733
+0.0961737
+0.0951119
+0.0940891
+0.0931066
+0.092158
+0.0912513
+0.0903886
+0.0895712
+0.0888004
+0.0880772
+0.0874031
+0.086779
+0.0862047
+0.0856823
+0.0844183
+0.0824825
+0.0805598
+0.0786511
+0.0767575
+0.0748801
+0.0730202
+0.071179
+0.0693582
+0.0675594
+0.0657843
+0.064035
+0.0623135
+0.0606224
+0.0589642
+0.0573417
+0.0557548
+0.0542078
+0.0526972
+0.0512331
+0.0498223
+0.0484696
+0.0471798
+0.0459582
+0.0448106
+0.0437426
+0.0427602
+0.0418695
+0.0410765
+0.0399856
+0.0389171
+0.0379285
+0.0370432
+0.0362688
+0.0356125
+0.0350809
+0.0346797
+0.0344135
+0.0342768
+0.0342616
+0.0343862
+0.0346492
+0.0350474
+0.0354269
+0.0353558
+0.0354203
+0.0356197
+0.0359517
+0.0364127
+0.0369907
+0.0376697
+0.0384618
+0.0393599
+0.0403571
+0.0414462
+0.0426202
+0.0438722
+0.0451958
+0.0465848
+0.0480336
+0.0495369
+0.05109
+0.0526884
+0.0543281
+0.0560055
+0.0577173
+0.0594435
+0.0609643
+0.0625249
+0.0641224
+0.0657541
+0.104898
+0.104668
+0.104483
+0.104344
+0.104251
+0.104195
+0.104186
+0.104222
+0.104304
+0.104432
+0.103813
+0.102597
+0.101413
+0.100263
+0.099148
+0.0980695
+0.0970284
+0.096026
+0.0950602
+0.0941305
+0.093243
+0.0923989
+0.0915994
+0.0908458
+0.0901391
+0.0894805
+0.088871
+0.0883103
+0.0868557
+0.084919
+0.0829949
+0.0810844
+0.0791883
+0.0773079
+0.0754442
+0.0735985
+0.0717722
+0.0699668
+0.068184
+0.0664256
+0.0646937
+0.0629902
+0.0613177
+0.0596744
+0.0580666
+0.0564979
+0.0549719
+0.0534828
+0.0520408
+0.0506526
+0.0493226
+0.0480557
+0.046857
+0.0457318
+0.0446859
+0.0437247
+0.0428541
+0.0420796
+0.0410149
+0.0399591
+0.0389959
+0.0381344
+0.0373816
+0.0367442
+0.0362282
+0.0358389
+0.0355805
+0.0354488
+0.0354341
+0.0355546
+0.035809
+0.0361945
+0.0365121
+0.0364432
+0.0365058
+0.0366992
+0.0370216
+0.0374694
+0.0380384
+0.0387064
+0.0394777
+0.0403532
+0.0413265
+0.0423907
+0.0435392
+0.0447655
+0.0460634
+0.047427
+0.0488508
+0.0503298
+0.0518591
+0.0534345
+0.055052
+0.056708
+0.0583992
+0.0601227
+0.0616296
+0.0631738
+0.0647552
+0.0663714
+0.106252
+0.106025
+0.105843
+0.105706
+0.105614
+0.105559
+0.10555
+0.105585
+0.105666
+0.105793
+0.105617
+0.104422
+0.103259
+0.10213
+0.101035
+0.0999773
+0.0989562
+0.0979736
+0.0970232
+0.0961125
+0.0952434
+0.0944172
+0.093635
+0.0928979
+0.0922069
+0.0915631
+0.0909676
+0.0893341
+0.0873974
+0.0854729
+0.0835616
+0.0816643
+0.0797821
+0.077916
+0.0760672
+0.074237
+0.0724268
+0.0706381
+0.0688727
+0.0671324
+0.0654184
+0.0637296
+0.0620722
+0.0604487
+0.0588621
+0.0573152
+0.0558115
+0.0543454
+0.052927
+0.0515626
+0.0502566
+0.0490139
+0.0478392
+0.0467377
+0.0457148
+0.0447757
+0.0439259
+0.0431707
+0.0421134
+0.041084
+0.0401478
+0.0393116
+0.0385817
+0.0379645
+0.0374653
+0.037089
+0.0368394
+0.0367117
+0.0366975
+0.0368138
+0.0370596
+0.0374321
+0.0376936
+0.0376268
+0.0376874
+0.0378749
+0.0381873
+0.0386216
+0.0391738
+0.0398367
+0.0405865
+0.0414386
+0.042387
+0.0434252
+0.044547
+0.0457463
+0.0470172
+0.0483539
+0.0497512
+0.0512042
+0.0527081
+0.0542589
+0.0558525
+0.0574855
+0.0591545
+0.0608566
+0.0623648
+0.0638912
+0.0654553
+0.0670546
+0.107635
+0.107411
+0.107231
+0.107096
+0.107005
+0.106951
+0.106941
+0.106976
+0.107056
+0.107181
+0.107351
+0.106261
+0.105118
+0.104009
+0.102935
+0.101896
+0.100895
+0.0999282
+0.0989957
+0.0981033
+0.0972521
+0.0964431
+0.0956774
+0.0949561
+0.0942803
+0.0936507
+0.0918501
+0.0899142
+0.0879903
+0.0860791
+0.0841816
+0.0822986
+0.0804312
+0.0785805
+0.0767476
+0.0749341
+0.0731411
+0.0713704
+0.0696217
+0.0678961
+0.066198
+0.0645296
+0.0628933
+0.0612916
+0.0597273
+0.0582035
+0.0567233
+0.0552815
+0.0538876
+0.0525482
+0.0512674
+0.0500497
+0.0488999
+0.0478229
+0.0468237
+0.0459073
+0.0450788
+0.0443432
+0.0432932
+0.0422925
+0.0413837
+0.0405729
+0.0398662
+0.0392691
+0.0387868
+0.0384234
+0.0381825
+0.0380588
+0.0380451
+0.0381574
+0.0383945
+0.0387542
+0.0389625
+0.0388978
+0.0389565
+0.0391379
+0.0394403
+0.039861
+0.0403962
+0.0410416
+0.0417809
+0.0426091
+0.043532
+0.0445435
+0.0456379
+0.0468092
+0.048052
+0.0493607
+0.0507303
+0.0521559
+0.0536332
+0.055158
+0.0567263
+0.0583348
+0.0599802
+0.0616595
+0.0631674
+0.0646749
+0.0662205
+0.0678017
+0.109044
+0.108823
+0.108645
+0.108512
+0.108422
+0.108369
+0.108359
+0.108394
+0.108473
+0.108596
+0.108763
+0.108113
+0.10699
+0.105901
+0.104846
+0.103826
+0.102844
+0.101892
+0.100977
+0.100102
+0.0992684
+0.098476
+0.0977262
+0.0970202
+0.0963461
+0.0944007
+0.0924664
+0.0905437
+0.0886334
+0.0867364
+0.0848535
+0.0829858
+0.0811342
+0.0792999
+0.0774841
+0.0756882
+0.0739106
+0.0721546
+0.0704229
+0.0687175
+0.0670402
+0.0653933
+0.0637792
+0.0622003
+0.0606594
+0.0591596
+0.0577039
+0.0562872
+0.0549189
+0.0536052
+0.0523503
+0.0511584
+0.0500341
+0.048982
+0.0480069
+0.0471136
+0.0463067
+0.0455909
+0.0445495
+0.0435777
+0.0426963
+0.0419109
+0.0412271
+0.0406501
+0.0401843
+0.0398337
+0.0396013
+0.0394816
+0.0394684
+0.0395766
+0.0398053
+0.0401524
+0.0403093
+0.0402468
+0.0403035
+0.0404788
+0.0407713
+0.0411784
+0.0416967
+0.0423223
+0.0430503
+0.0438579
+0.044755
+0.0457395
+0.0468059
+0.0479487
+0.0491626
+0.0504426
+0.0517835
+0.053181
+0.0546306
+0.0561282
+0.0576702
+0.0592531
+0.0608736
+0.062529
+0.0640349
+0.0655224
+0.0670485
+0.0686107
+0.110478
+0.11026
+0.110085
+0.109953
+0.109865
+0.109812
+0.109802
+0.109837
+0.109915
+0.110036
+0.110201
+0.109977
+0.108874
+0.107803
+0.106767
+0.105766
+0.104799
+0.103864
+0.102967
+0.10211
+0.101292
+0.100516
+0.0997811
+0.0989264
+0.0969833
+0.095051
+0.0931301
+0.0912214
+0.0893256
+0.0874436
+0.0855763
+0.0837247
+0.0818898
+0.0800727
+0.0782712
+0.0764898
+0.0747301
+0.0729938
+0.0712825
+0.0695981
+0.0679426
+0.0663181
+0.064727
+0.0631719
+0.0616553
+0.0601803
+0.0587499
+0.0573591
+0.0560169
+0.0547296
+0.0535011
+0.0523354
+0.0512369
+0.0502101
+0.0492593
+0.048389
+0.0476038
+0.0469027
+0.0458762
+0.044933
+0.0440787
+0.0433184
+0.0426572
+0.0420997
+0.0416502
+0.041312
+0.041088
+0.0409721
+0.0409594
+0.0410637
+0.0412842
+0.0416189
+0.0417262
+0.0416659
+0.0417206
+0.04189
+0.0421727
+0.0425664
+0.0430681
+0.043674
+0.0443799
+0.0451784
+0.0460497
+0.0470071
+0.0480454
+0.0491594
+0.0503442
+0.0515948
+0.0529066
+0.0542751
+0.0556962
+0.057166
+0.0586807
+0.060237
+0.0618318
+0.0634622
+0.0649648
+0.0664315
+0.0679372
+0.0694793
+0.111937
+0.111722
+0.111549
+0.111419
+0.111332
+0.111279
+0.11127
+0.111304
+0.111381
+0.111501
+0.111664
+0.111853
+0.110769
+0.109717
+0.108699
+0.107716
+0.106763
+0.105845
+0.104965
+0.104124
+0.103322
+0.102561
+0.101536
+0.0995952
+0.0976654
+0.0957469
+0.0938403
+0.0919463
+0.0900658
+0.0881996
+0.0863487
+0.084513
+0.082692
+0.0808893
+0.0791062
+0.077344
+0.0756042
+0.0738885
+0.0721984
+0.0705359
+0.0689029
+0.0673016
+0.0657343
+0.0642035
+0.0627119
+0.0612623
+0.0598578
+0.0584933
+0.0571778
+0.0559173
+0.0547154
+0.0535761
+0.0525036
+0.051502
+0.0505755
+0.0497283
+0.0489646
+0.0482641
+0.0472671
+0.0463523
+0.0455246
+0.0447889
+0.0441497
+0.0436113
+0.0431775
+0.0428514
+0.0426355
+0.0425233
+0.0425111
+0.0426116
+0.0428241
+0.0431469
+0.0432078
+0.0431496
+0.0432024
+0.0433661
+0.0436392
+0.0440198
+0.044505
+0.0450916
+0.0457757
+0.0465528
+0.0474104
+0.0483409
+0.0493511
+0.0504363
+0.0515918
+0.0528128
+0.0540951
+0.0554343
+0.0568264
+0.0582677
+0.0597545
+0.0612835
+0.0628518
+0.0644563
+0.0659543
+0.0673995
+0.068884
+0.0704054
+0.11342
+0.113207
+0.113036
+0.112908
+0.112822
+0.112771
+0.112761
+0.112795
+0.112871
+0.112989
+0.11315
+0.113353
+0.112674
+0.111641
+0.11064
+0.109672
+0.108735
+0.107834
+0.106971
+0.106145
+0.105359
+0.104172
+0.102234
+0.100307
+0.0983917
+0.0964876
+0.0945959
+0.0927173
+0.0908528
+0.0890013
+0.0871639
+0.0853432
+0.0835402
+0.0817562
+0.0799924
+0.0782502
+0.0765311
+0.0748366
+0.0731684
+0.0715284
+0.0699186
+0.0683411
+0.0667982
+0.0652924
+0.0638262
+0.0624026
+0.0610243
+0.0596865
+0.0583979
+0.0571642
+0.0559891
+0.0548763
+0.0538297
+0.0528532
+0.0519508
+0.0511264
+0.0503839
+0.0496848
+0.0487169
+0.0478299
+0.0470282
+0.0463163
+0.0456985
+0.0451786
+0.0447599
+0.0444454
+0.0442373
+0.0441288
+0.044117
+0.0442139
+0.0444187
+0.04473
+0.0447477
+0.0446914
+0.0447425
+0.0449005
+0.0451643
+0.0455321
+0.0460015
+0.0465692
+0.0472318
+0.0479854
+0.0488258
+0.0497339
+0.0507164
+0.051773
+0.0528993
+0.0540908
+0.0553435
+0.0566532
+0.0580161
+0.0594285
+0.0608869
+0.0623883
+0.0639294
+0.0655075
+0.0670009
+0.068424
+0.0698868
+0.0713868
+0.114925
+0.114715
+0.114546
+0.11442
+0.114335
+0.114284
+0.114275
+0.114308
+0.114383
+0.1145
+0.114658
+0.114859
+0.11459
+0.113574
+0.112591
+0.111636
+0.110716
+0.109831
+0.108983
+0.108173
+0.106832
+0.104899
+0.102975
+0.101062
+0.099161
+0.0972719
+0.0953958
+0.0935307
+0.0916794
+0.0898434
+0.0880236
+0.086221
+0.0844368
+0.0826722
+0.0809283
+0.0792067
+0.0775088
+0.0758361
+0.0741904
+0.0725735
+0.0709874
+0.0694342
+0.0679162
+0.0664357
+0.0649953
+0.0635978
+0.0622461
+0.060935
+0.0596734
+0.0584667
+0.0573183
+0.0562318
+0.0552109
+0.0542593
+0.0533807
+0.0525787
+0.0518569
+0.0511599
+0.0502205
+0.0493604
+0.048584
+0.0478953
+0.0472981
+0.0467959
+0.0463919
+0.0460885
+0.0458879
+0.0457828
+0.0457714
+0.0458648
+0.0460623
+0.0463626
+0.0463399
+0.0462856
+0.0463349
+0.0464875
+0.0467424
+0.0470979
+0.0475518
+0.0481012
+0.048743
+0.0494736
+0.0502891
+0.0511713
+0.0521267
+0.0531553
+0.0542528
+0.0554153
+0.0566387
+0.0579191
+0.0592529
+0.0606365
+0.0620666
+0.06354
+0.0650539
+0.0666054
+0.0681
+0.0695024
+0.070943
+0.0724211
+0.116452
+0.116244
+0.116078
+0.115953
+0.11587
+0.11582
+0.115811
+0.115843
+0.115917
+0.116032
+0.116189
+0.116386
+0.116516
+0.115516
+0.114548
+0.113609
+0.112704
+0.111835
+0.111003
+0.109516
+0.107586
+0.105666
+0.103757
+0.101858
+0.0999721
+0.0980956
+0.0962324
+0.0943832
+0.092549
+0.0907306
+0.0889289
+0.0871451
+0.0853802
+0.0836355
+0.0819121
+0.0802116
+0.0785354
+0.0768851
+0.0752623
+0.073669
+0.072107
+0.0705784
+0.0690855
+0.0676306
+0.0662163
+0.0648451
+0.0635199
+0.0622357
+0.061001
+0.059821
+0.0586991
+0.0576387
+0.0566431
+0.055716
+0.0548607
+0.0540807
+0.0533792
+0.0526848
+0.051773
+0.0509392
+0.0501872
+0.0495208
+0.0489435
+0.0484584
+0.0480683
+0.0477756
+0.047582
+0.0474803
+0.0474694
+0.0475594
+0.0477499
+0.0480396
+0.0479794
+0.0479269
+0.0479745
+0.0481219
+0.0483682
+0.0487119
+0.0491508
+0.0496826
+0.0503042
+0.0510125
+0.0518037
+0.0526606
+0.0535894
+0.0545904
+0.0556597
+0.0567934
+0.0579877
+0.059239
+0.0605437
+0.0618984
+0.0633
+0.0647454
+0.0662317
+0.0677563
+0.0692435
+0.0706287
+0.0720503
+0.0735062
+0.103578
+0.102281
+0.101015
+0.0997794
+0.0985772
+0.0973389
+0.0960611
+0.0948163
+0.0935996
+0.0924187
+0.0912683
+0.0901053
+0.0889744
+0.0878836
+0.0868343
+0.0858115
+0.0847961
+0.083785
+0.0827587
+0.0817669
+0.0808223
+0.0799266
+0.0790814
+0.0782884
+0.0774909
+0.0766776
+0.0759035
+0.0750988
+0.0743492
+0.0736571
+0.0726929
+0.0716839
+0.0707233
+0.0698074
+0.0689465
+0.0681163
+0.0673421
+0.0666308
+0.0659799
+0.0653935
+0.0648758
+0.0644199
+0.0640299
+0.0637128
+0.0634698
+0.0633018
+0.0632092
+0.0631919
+0.0629053
+0.0624789
+0.0619825
+0.0609335
+0.0599462
+0.0590238
+0.0581692
+0.0573856
+0.0566759
+0.0560429
+0.0554892
+0.0550172
+0.0546183
+0.0540417
+0.0535485
+0.0531411
+0.0528215
+0.0525912
+0.0524516
+0.0524032
+0.0524464
+0.0525809
+0.0524851
+0.0522475
+0.0520886
+0.0520013
+0.0519559
+0.0520028
+0.0521257
+0.0522851
+0.0525356
+0.0528591
+0.0532001
+0.0535905
+0.0535527
+0.0536046
+0.0537457
+0.0539678
+0.054268
+0.0546544
+0.0551252
+0.0556783
+0.0563113
+0.0570214
+0.0578059
+0.0586617
+0.0595858
+0.0605751
+0.0616264
+0.0627367
+0.0639027
+0.0651216
+0.102275
+0.100962
+0.0996794
+0.0984286
+0.0972096
+0.0960253
+0.0947667
+0.0935051
+0.0922774
+0.0910794
+0.0899188
+0.0887722
+0.0876294
+0.0865216
+0.0854556
+0.084433
+0.0834238
+0.0824071
+0.0813994
+0.0803947
+0.0794338
+0.0785222
+0.0776618
+0.0768541
+0.0760718
+0.0752678
+0.0744905
+0.0737095
+0.0729456
+0.0722401
+0.0713997
+0.0703721
+0.0693934
+0.0684707
+0.0675953
+0.0667483
+0.065958
+0.0652317
+0.0645666
+0.0639673
+0.0634379
+0.0629717
+0.0625726
+0.0622481
+0.0619994
+0.0618273
+0.0617326
+0.0612893
+0.0608032
+0.0603674
+0.060003
+0.0591113
+0.0580931
+0.0571407
+0.0562575
+0.0554469
+0.0547121
+0.0540561
+0.0534818
+0.0529919
+0.0525888
+0.0520948
+0.0515829
+0.0511599
+0.0508278
+0.0505885
+0.0504433
+0.050393
+0.0504379
+0.0505777
+0.050403
+0.0501573
+0.0499919
+0.0499028
+0.0498567
+0.0499056
+0.0500345
+0.0502006
+0.0504614
+0.0507925
+0.0511473
+0.0515823
+0.051543
+0.0515969
+0.0517435
+0.0519798
+0.0522914
+0.0526923
+0.0531805
+0.0537536
+0.0544089
+0.0551436
+0.0559544
+0.0568381
+0.0577914
+0.0588109
+0.0598932
+0.0610349
+0.0622329
+0.0634838
+0.101004
+0.0996739
+0.0983745
+0.0971071
+0.0958727
+0.0946715
+0.0935057
+0.0922269
+0.0909828
+0.0897736
+0.0885959
+0.0874572
+0.0863151
+0.0851942
+0.0841114
+0.0830722
+0.0820784
+0.0810649
+0.0800623
+0.0790576
+0.078082
+0.0771545
+0.0762786
+0.0754562
+0.074689
+0.0738962
+0.0731042
+0.0723598
+0.0715815
+0.0708624
+0.0701509
+0.0691048
+0.0681079
+0.0671676
+0.0662787
+0.0654163
+0.0646167
+0.063877
+0.0631977
+0.0625852
+0.0620441
+0.0615673
+0.0611591
+0.0608271
+0.0605725
+0.0603964
+0.0597889
+0.0592096
+0.0587064
+0.0582617
+0.0578841
+0.0573143
+0.0562642
+0.0552803
+0.0543669
+0.0535277
+0.0527661
+0.0520856
+0.0514894
+0.0509804
+0.0505613
+0.0501666
+0.0496349
+0.0491951
+0.0488497
+0.0486006
+0.0484495
+0.0483971
+0.0484438
+0.0485894
+0.0483306
+0.0480762
+0.0479035
+0.0478092
+0.0477656
+0.0478167
+0.0479523
+0.0481256
+0.0483975
+0.0487368
+0.0491064
+0.0495551
+0.0495486
+0.0496046
+0.0497571
+0.0500052
+0.0503325
+0.0507489
+0.0512556
+0.05185
+0.0525291
+0.0532896
+0.0541282
+0.0550413
+0.0560251
+0.0570762
+0.0581907
+0.0593652
+0.0605962
+0.0618803
+0.0997647
+0.0984177
+0.0971015
+0.0958173
+0.0945664
+0.0933496
+0.0921677
+0.0909834
+0.0897221
+0.0884971
+0.0873079
+0.0861522
+0.0850315
+0.0839005
+0.0828033
+0.0817476
+0.0807374
+0.0797603
+0.0787411
+0.0777548
+0.0767689
+0.0758254
+0.074934
+0.0740967
+0.0733152
+0.0725477
+0.0717581
+0.0710099
+0.070255
+0.0695207
+0.0688483
+0.0678846
+0.0668695
+0.0659115
+0.0650054
+0.0641259
+0.06331
+0.0625602
+0.0618761
+0.0612504
+0.0606974
+0.060206
+0.0597885
+0.0594488
+0.0591539
+0.0584145
+0.0577384
+0.0571383
+0.0566166
+0.0561625
+0.0557707
+0.0554627
+0.054462
+0.053445
+0.0524997
+0.0516301
+0.0508401
+0.0501334
+0.0495137
+0.0489842
+0.0485478
+0.0481963
+0.0477079
+0.0472502
+0.0468904
+0.0466309
+0.0464734
+0.0464188
+0.0464675
+0.0465925
+0.046269
+0.0460051
+0.0458247
+0.0457244
+0.045684
+0.0457373
+0.0458801
+0.0460612
+0.0463453
+0.0466934
+0.0470685
+0.0475326
+0.0475715
+0.0476299
+0.0477886
+0.0480469
+0.0483935
+0.0488264
+0.0493529
+0.0499699
+0.0506742
+0.0514622
+0.05233
+0.0532739
+0.0542898
+0.0553738
+0.056522
+0.0577304
+0.0589955
+0.0603137
+0.0985583
+0.0971947
+0.0958616
+0.0945606
+0.0932929
+0.0920598
+0.0908621
+0.0897009
+0.0884977
+0.0872555
+0.0860512
+0.0848836
+0.0837518
+0.0826375
+0.0815321
+0.0804607
+0.0794342
+0.0784555
+0.0774594
+0.0764723
+0.0754906
+0.0745371
+0.07363
+0.0727777
+0.071982
+0.0712323
+0.0704516
+0.0696894
+0.0689627
+0.0682145
+0.067529
+0.066714
+0.0656808
+0.0647052
+0.063782
+0.0628854
+0.0620532
+0.061288
+0.0605924
+0.0599539
+0.0593889
+0.0588895
+0.0584626
+0.0579878
+0.0571551
+0.0563953
+0.0556985
+0.0550762
+0.0545348
+0.0540706
+0.0536635
+0.0533433
+0.0526641
+0.0516373
+0.0506583
+0.0497566
+0.0489363
+0.0482018
+0.0475569
+0.0470053
+0.0465504
+0.0461873
+0.0458046
+0.0453277
+0.0449526
+0.0446818
+0.0445173
+0.0444603
+0.0445112
+0.0445377
+0.0442166
+0.0439417
+0.0437568
+0.0436499
+0.0436128
+0.0436687
+0.0438165
+0.0440091
+0.0443063
+0.0446585
+0.045041
+0.0455257
+0.0456139
+0.0456748
+0.0458403
+0.0461095
+0.0464769
+0.0469275
+0.047475
+0.0481161
+0.0488471
+0.0496641
+0.0505628
+0.0515391
+0.0525885
+0.0537069
+0.0548899
+0.0561335
+0.0574338
+0.058787
+0.0973734
+0.096006
+0.0946563
+0.0933384
+0.0920538
+0.090804
+0.0895902
+0.0884133
+0.0872745
+0.0860518
+0.0848303
+0.0836484
+0.0825045
+0.0813986
+0.0802862
+0.0792087
+0.0781707
+0.0771759
+0.076219
+0.0752157
+0.0742546
+0.0732874
+0.0723689
+0.0715015
+0.0706914
+0.0699406
+0.0691869
+0.0684106
+0.0676963
+0.0669544
+0.066256
+0.0655958
+0.0645446
+0.0635516
+0.0626114
+0.0616978
+0.0608493
+0.0600688
+0.0593589
+0.058707
+0.0581299
+0.0576262
+0.0569665
+0.0560331
+0.0551709
+0.0543833
+0.0536685
+0.0530224
+0.0524599
+0.0519838
+0.0515632
+0.0512299
+0.0508498
+0.0498522
+0.0488458
+0.04791
+0.0470575
+0.0462932
+0.0456213
+0.0450461
+0.0445712
+0.0441955
+0.0439093
+0.0434306
+0.0430389
+0.0427561
+0.0425842
+0.0425246
+0.0425778
+0.0424965
+0.0421739
+0.0418857
+0.0417015
+0.0415873
+0.0415488
+0.0416075
+0.0417623
+0.0419709
+0.0422825
+0.0426289
+0.0430294
+0.0435329
+0.0436785
+0.043742
+0.0439149
+0.0441958
+0.0445827
+0.045055
+0.045625
+0.0462917
+0.0470511
+0.0478987
+0.04883
+0.0498402
+0.0509247
+0.0520787
+0.0532979
+0.0545778
+0.0559143
+0.0573033
+0.0961887
+0.0948423
+0.0934867
+0.0921521
+0.0908508
+0.0895841
+0.0883536
+0.0871608
+0.0860063
+0.0848875
+0.0836491
+0.0824502
+0.0812928
+0.0801745
+0.0790802
+0.077986
+0.0769385
+0.075938
+0.0749777
+0.0740026
+0.0730345
+0.0720802
+0.0711507
+0.0702684
+0.0694439
+0.0686794
+0.067952
+0.0671789
+0.0664513
+0.0657433
+0.0650318
+0.0643871
+0.0634637
+0.0624535
+0.0614965
+0.0605661
+0.0597016
+0.0589059
+0.0581818
+0.0575166
+0.0569275
+0.056098
+0.0550627
+0.0540965
+0.0532029
+0.0523857
+0.0516485
+0.0509779
+0.0503926
+0.0498967
+0.0494708
+0.0491233
+0.0487833
+0.0480317
+0.0470655
+0.0460935
+0.0452068
+0.0444106
+0.0437098
+0.0431091
+0.0426126
+0.0422232
+0.0419238
+0.0415624
+0.041153
+0.040857
+0.0406771
+0.0406147
+0.0406704
+0.040471
+0.0401457
+0.039844
+0.039659
+0.0395385
+0.039498
+0.0395598
+0.0397225
+0.0399448
+0.0402743
+0.040616
+0.0410362
+0.0415578
+0.0417683
+0.0418347
+0.0420154
+0.0423089
+0.0427129
+0.0432125
+0.0438064
+0.0445004
+0.0452899
+0.0461698
+0.0471353
+0.048181
+0.049302
+0.0504932
+0.0517497
+0.053067
+0.0544405
+0.0558662
+0.0950396
+0.0936767
+0.0923457
+0.0910031
+0.0896851
+0.0884017
+0.0871545
+0.085945
+0.084775
+0.0836448
+0.0825091
+0.0812934
+0.0801193
+0.0789884
+0.0778981
+0.0768063
+0.0757426
+0.0747279
+0.0737644
+0.0728352
+0.0718513
+0.0709201
+0.0699752
+0.0690779
+0.068239
+0.0674609
+0.0667456
+0.0659969
+0.0652562
+0.0645799
+0.0638594
+0.0632026
+0.062441
+0.061414
+0.0604405
+0.0594936
+0.0586132
+0.0578026
+0.0570645
+0.0563862
+0.0553893
+0.0542522
+0.0531811
+0.0521799
+0.051253
+0.0504042
+0.0496377
+0.048946
+0.0483361
+0.0478189
+0.0473873
+0.0470244
+0.0466361
+0.0462433
+0.0452501
+0.0443109
+0.0433878
+0.0425576
+0.0418258
+0.0411975
+0.0406778
+0.0402706
+0.0399597
+0.0397272
+0.0392986
+0.0389886
+0.0388
+0.0387346
+0.038793
+0.0384635
+0.0381211
+0.037819
+0.037625
+0.0375057
+0.0374631
+0.0375282
+0.0376998
+0.0379325
+0.0382701
+0.0386225
+0.0390641
+0.0396029
+0.0398869
+0.0399565
+0.0401456
+0.0404527
+0.040875
+0.0414039
+0.0420234
+0.0427464
+0.0435676
+0.0444816
+0.0454829
+0.0465658
+0.0477247
+0.0489543
+0.0502493
+0.0516049
+0.0530164
+0.0544794
+0.0939276
+0.0925483
+0.0912008
+0.0898865
+0.0885582
+0.0872583
+0.0859945
+0.0847685
+0.0835819
+0.0824365
+0.0813327
+0.0801798
+0.0789891
+0.0778418
+0.0767399
+0.0756717
+0.0745918
+0.0735613
+0.0725823
+0.071649
+0.0707163
+0.0697714
+0.0688469
+0.0679372
+0.067084
+0.0662924
+0.0655643
+0.0648649
+0.0641136
+0.0634266
+0.0627415
+0.062073
+0.061469
+0.060436
+0.0594466
+0.0584835
+0.0575877
+0.0567624
+0.0560106
+0.0548467
+0.0536087
+0.052433
+0.0513239
+0.0502858
+0.0493233
+0.0484407
+0.0476426
+0.0469284
+0.046292
+0.0457516
+0.0453109
+0.0449342
+0.0444932
+0.0441135
+0.0434577
+0.0425124
+0.0416046
+0.0407381
+0.039973
+0.0393151
+0.0387701
+0.0383427
+0.0380203
+0.0378144
+0.0374806
+0.0371554
+0.0369575
+0.0368888
+0.0369501
+0.0364772
+0.036116
+0.0358134
+0.0356047
+0.0354918
+0.0354467
+0.0355155
+0.0356968
+0.0359412
+0.0362826
+0.0366516
+0.0371166
+0.037673
+0.0380387
+0.0381116
+0.0383098
+0.0386315
+0.0390735
+0.0396319
+0.0402806
+0.0410343
+0.0418891
+0.042839
+0.0438778
+0.0449993
+0.0461975
+0.0474667
+0.0488012
+0.0501959
+0.0516459
+0.0531465
+0.092854
+0.0914585
+0.0900947
+0.088764
+0.087468
+0.0861554
+0.0848752
+0.0836328
+0.0824299
+0.0812682
+0.0801497
+0.0790745
+0.0779029
+0.0767394
+0.0756215
+0.0745391
+0.0734883
+0.0724421
+0.0714477
+0.0704997
+0.0696037
+0.0686719
+0.0677594
+0.0668461
+0.0659816
+0.0651765
+0.0644359
+0.063762
+0.0630265
+0.0623275
+0.0616726
+0.0610011
+0.0603928
+0.0595119
+0.0585177
+0.0575391
+0.0566284
+0.0557889
+0.0544684
+0.0531383
+0.0518595
+0.0506432
+0.049494
+0.0484167
+0.0474162
+0.0464975
+0.0456655
+0.0449249
+0.0442618
+0.0436964
+0.0432347
+0.0428385
+0.0423537
+0.0419561
+0.0416686
+0.0407173
+0.0398275
+0.0389568
+0.038156
+0.0374663
+0.0368939
+0.0364445
+0.0361098
+0.0358929
+0.0357044
+0.0353629
+0.0351549
+0.0350826
+0.0350164
+0.0345156
+0.0341336
+0.0338271
+0.0336004
+0.0334978
+0.0334522
+0.0335251
+0.0337172
+0.0339743
+0.0343198
+0.0347069
+0.0351977
+0.0357732
+0.0362286
+0.0363052
+0.0365132
+0.0368506
+0.0373137
+0.037898
+0.0385835
+0.0393697
+0.0402599
+0.0412473
+0.0423251
+0.0434867
+0.0447255
+0.0460352
+0.0474101
+0.0488445
+0.0503322
+0.051857
+0.0917116
+0.0904087
+0.0890288
+0.0876819
+0.0863696
+0.0850935
+0.0837982
+0.0825396
+0.0813205
+0.0801428
+0.0790083
+0.0779189
+0.0768611
+0.0756816
+0.0745478
+0.0734496
+0.0723878
+0.0713726
+0.0703631
+0.0694005
+0.0684902
+0.0676178
+0.0667015
+0.0657986
+0.0649316
+0.0641162
+0.0633631
+0.0626777
+0.0619905
+0.0612871
+0.0606472
+0.0599872
+0.0593714
+0.0586502
+0.057655
+0.0566638
+0.0557156
+0.0542464
+0.0528273
+0.0514622
+0.050145
+0.0488861
+0.0476945
+0.0465757
+0.0455347
+0.0445772
+0.0437087
+0.0429344
+0.0422477
+0.041655
+0.0411704
+0.0407215
+0.0402165
+0.0398024
+0.0394992
+0.0389626
+0.0380318
+0.0372049
+0.0363802
+0.0356561
+0.0350543
+0.0345809
+0.0342328
+0.0340039
+0.0339153
+0.0336176
+0.0333987
+0.0333227
+0.0330933
+0.032579
+0.0321713
+0.0318528
+0.0316206
+0.0315118
+0.0314816
+0.031559
+0.0317586
+0.0320366
+0.0323863
+0.0327934
+0.0333084
+0.0339086
+0.0344628
+0.0345432
+0.0347618
+0.035116
+0.0356017
+0.0362137
+0.0369384
+0.0377588
+0.0386861
+0.0397126
+0.040831
+0.0420339
+0.0433143
+0.0446654
+0.0460812
+0.0475521
+0.0490653
+0.0506279
+0.0905742
+0.0893171
+0.0880045
+0.0866417
+0.0853134
+0.0840212
+0.0827652
+0.0814907
+0.0802557
+0.0790621
+0.0779118
+0.0768068
+0.0757491
+0.0746731
+0.0735237
+0.07241
+0.0713327
+0.0702052
+0.0690807
+0.0680082
+0.0669903
+0.0660265
+0.065115
+0.0642653
+0.0634799
+0.0627611
+0.0621113
+0.0615326
+0.0610143
+0.0603047
+0.0596579
+0.0590291
+0.0584144
+0.0578586
+0.0568495
+0.0557575
+0.054201
+0.0526895
+0.0512272
+0.0498184
+0.0484676
+0.0471652
+0.0459291
+0.0447661
+0.0436821
+0.042683
+0.0417751
+0.0409643
+0.0402521
+0.0396295
+0.0391199
+0.0386123
+0.0380854
+0.0376529
+0.0373322
+0.0371269
+0.0362796
+0.0354138
+0.0346431
+0.0338879
+0.0332541
+0.0327548
+0.0323952
+0.0321532
+0.0320595
+0.0319273
+0.0316967
+0.03157
+0.0311436
+0.0306677
+0.0302342
+0.0299086
+0.029663
+0.0295548
+0.0295403
+0.0296228
+0.0298252
+0.030121
+0.0304876
+0.0309131
+0.0314543
+0.0320851
+0.0326786
+0.032833
+0.0330629
+0.0334351
+0.0339448
+0.0345861
+0.0353517
+0.0362089
+0.0371749
+0.038242
+0.0394022
+0.0406474
+0.04197
+0.0433631
+0.0448135
+0.0463125
+0.0478648
+0.0494654
+0.0894213
+0.0881862
+0.0869481
+0.0856449
+0.0843009
+0.0829929
+0.0817228
+0.0804877
+0.0792371
+0.0780279
+0.0768622
+0.0757419
+0.0746691
+0.0734698
+0.0721304
+0.0708335
+0.0695814
+0.0683765
+0.0672214
+0.0661188
+0.0650713
+0.0640815
+0.0631441
+0.0622675
+0.0614565
+0.0607138
+0.0600418
+0.0594431
+0.0589197
+0.0584738
+0.0580988
+0.0577968
+0.0575168
+0.0569592
+0.0559008
+0.0542977
+0.0527338
+0.0511791
+0.0496723
+0.048218
+0.0468211
+0.0454848
+0.0442017
+0.042992
+0.0418621
+0.0408185
+0.0398681
+0.0390177
+0.038274
+0.0376226
+0.0370853
+0.0365127
+0.0359615
+0.0355084
+0.0351682
+0.0349526
+0.0345774
+0.0336679
+0.0328742
+0.032159
+0.0314904
+0.0309626
+0.030583
+0.0303479
+0.0302486
+0.0302965
+0.030058
+0.0296689
+0.0292238
+0.0287962
+0.0283341
+0.0280008
+0.0277383
+0.027631
+0.0276355
+0.0277244
+0.0279299
+0.0282402
+0.0286293
+0.0290713
+0.0296461
+0.0303103
+0.0309121
+0.0311829
+0.0314249
+0.0318162
+0.0323515
+0.0330237
+0.0338247
+0.0347281
+0.0357341
+0.036843
+0.0380458
+0.039334
+0.0406993
+0.0421247
+0.0436061
+0.0451451
+0.0467362
+0.0483742
+0.0882856
+0.0870496
+0.0858378
+0.0846195
+0.0833336
+0.0820103
+0.0807247
+0.0794758
+0.0782663
+0.0770421
+0.0758613
+0.0746424
+0.0731972
+0.0717897
+0.07042
+0.0690909
+0.0678066
+0.0665696
+0.0653827
+0.0642485
+0.0631699
+0.0621499
+0.0611882
+0.0602831
+0.0594451
+0.0586769
+0.0579813
+0.057361
+0.0568185
+0.056356
+0.0559698
+0.0556561
+0.0554274
+0.0552846
+0.0545166
+0.0528716
+0.0512674
+0.049708
+0.0481669
+0.0466657
+0.0452209
+0.0438379
+0.0425171
+0.041258
+0.0400792
+0.0389879
+0.0379918
+0.0370984
+0.0363154
+0.0356372
+0.0350696
+0.0344245
+0.0338451
+0.03337
+0.0330078
+0.0327805
+0.0326783
+0.0319532
+0.0310915
+0.0303636
+0.0297411
+0.0291344
+0.0286661
+0.0283596
+0.0282204
+0.0281853
+0.02832
+0.0278071
+0.027342
+0.0269729
+0.0264789
+0.0261294
+0.025856
+0.0257409
+0.0257601
+0.0258722
+0.0260808
+0.0264072
+0.0268103
+0.0272812
+0.0278929
+0.0285812
+0.0292032
+0.029603
+0.0298578
+0.0302694
+0.0308315
+0.0315362
+0.032374
+0.0333256
+0.0343726
+0.035524
+0.03677
+0.0381014
+0.0394959
+0.0409552
+0.0424773
+0.0440558
+0.0456849
+0.0473593
+0.0871835
+0.0859317
+0.084718
+0.0835357
+0.0823411
+0.0810749
+0.0797743
+0.0785103
+0.0772856
+0.0760274
+0.0745658
+0.0730534
+0.0715761
+0.0701362
+0.0687359
+0.0673745
+0.0660569
+0.0647865
+0.0635662
+0.062399
+0.0612879
+0.0602361
+0.0592466
+0.0583135
+0.0574467
+0.0566515
+0.0559307
+0.0552874
+0.0547244
+0.054244
+0.0538457
+0.0535196
+0.0532817
+0.0531331
+0.0530745
+0.0514991
+0.0498508
+0.0482457
+0.0466882
+0.0451663
+0.0436719
+0.0422382
+0.0408718
+0.0395693
+0.0383386
+0.0371963
+0.0361508
+0.0352108
+0.0343848
+0.0336774
+0.0330709
+0.0323486
+0.0317332
+0.0312363
+0.0308516
+0.0306111
+0.0305016
+0.0300682
+0.0291507
+0.0283731
+0.0277372
+0.0271071
+0.026603
+0.0262725
+0.0261222
+0.0260872
+0.0262327
+0.0259928
+0.0255039
+0.0251654
+0.0246789
+0.0243009
+0.024026
+0.0239021
+0.023934
+0.0240582
+0.0242846
+0.0246252
+0.0250502
+0.0255535
+0.0262055
+0.0269026
+0.0275444
+0.0281052
+0.0283734
+0.0288063
+0.0293964
+0.0301346
+0.0310103
+0.0319986
+0.0330878
+0.0342824
+0.0355719
+0.03694
+0.0383714
+0.0398718
+0.0414338
+0.0430505
+0.0447162
+0.0464256
+0.086123
+0.0848556
+0.0836263
+0.0824369
+0.081286
+0.0800759
+0.0785901
+0.0771364
+0.0757182
+0.0743375
+0.0729964
+0.0714963
+0.0699861
+0.0685128
+0.0670786
+0.0656862
+0.0643341
+0.063029
+0.061774
+0.0605723
+0.0594271
+0.0583417
+0.0573195
+0.0563602
+0.0554629
+0.0546388
+0.0538911
+0.0532232
+0.052638
+0.0521384
+0.0517265
+0.0513876
+0.0511397
+0.0509849
+0.0509239
+0.0501848
+0.0484919
+0.0468402
+0.0452343
+0.0436793
+0.0421798
+0.0406937
+0.0392735
+0.0379213
+0.0366438
+0.0354496
+0.034351
+0.0333602
+0.0324872
+0.0317416
+0.0310446
+0.0302804
+0.029632
+0.0291072
+0.0287006
+0.0284449
+0.0283271
+0.0282273
+0.0272479
+0.0264144
+0.0257408
+0.0251072
+0.0245621
+0.0242038
+0.0240405
+0.0240057
+0.0241637
+0.024228
+0.0237077
+0.0233551
+0.0229249
+0.0225371
+0.0222518
+0.0221275
+0.022174
+0.0223048
+0.0225404
+0.0229067
+0.023363
+0.0239018
+0.0245938
+0.0253025
+0.0259559
+0.0266799
+0.0269854
+0.0274402
+0.028059
+0.0288315
+0.0297373
+0.0307562
+0.0318878
+0.0331257
+0.0344586
+0.0358691
+0.0373416
+0.0388818
+0.0404819
+0.0421353
+0.0438358
+0.0455781
+0.0850622
+0.0838225
+0.0825782
+0.0813735
+0.0800797
+0.0785329
+0.0770174
+0.0755349
+0.074086
+0.0726743
+0.0713019
+0.0699713
+0.0684294
+0.0669217
+0.0654527
+0.0640249
+0.0626406
+0.0612995
+0.0600083
+0.0587705
+0.0575895
+0.0564688
+0.055412
+0.054423
+0.0534953
+0.0526403
+0.0518639
+0.0511695
+0.0505606
+0.0500402
+0.0496112
+0.0492607
+0.0490021
+0.0488405
+0.0487769
+0.0488115
+0.0471955
+0.0454968
+0.0438417
+0.0422355
+0.0406838
+0.0391932
+0.0377348
+0.0363253
+0.0349896
+0.0337433
+0.0325968
+0.0315532
+0.0306287
+0.0298367
+0.0290416
+0.0282306
+0.0275449
+0.026988
+0.0265561
+0.0262819
+0.0261553
+0.0262108
+0.0253916
+0.024495
+0.023767
+0.0231389
+0.0225493
+0.0221585
+0.02198
+0.0219454
+0.0221181
+0.0224306
+0.0219832
+0.0216006
+0.0212512
+0.0208325
+0.0205458
+0.0204338
+0.0204912
+0.0206351
+0.0208802
+0.0212752
+0.0217656
+0.022343
+0.0230442
+0.0237891
+0.0244606
+0.0252072
+0.0257094
+0.0261863
+0.0268341
+0.0276386
+0.0285646
+0.0296238
+0.0307971
+0.0320772
+0.0334518
+0.0349031
+0.0364146
+0.0379924
+0.0396285
+0.041316
+0.0430488
+0.0448218
+0.0840229
+0.0828061
+0.0815734
+0.0802032
+0.0785978
+0.0770213
+0.0754755
+0.0739623
+0.0724833
+0.0710397
+0.0696352
+0.068272
+0.0669081
+0.0653654
+0.0638605
+0.0623963
+0.0609757
+0.0596002
+0.0582715
+0.056996
+0.0557774
+0.0546195
+0.0535262
+0.0525017
+0.0515456
+0.0506578
+0.0498504
+0.0491276
+0.048493
+0.0479503
+0.0475024
+0.0471397
+0.0468694
+0.0467004
+0.0466338
+0.0466701
+0.0459671
+0.0442212
+0.0425165
+0.0408581
+0.039252
+0.0377049
+0.0362241
+0.0347941
+0.0333972
+0.0320892
+0.0308813
+0.0297857
+0.0288152
+0.0279724
+0.0270678
+0.0262009
+0.0254749
+0.0248801
+0.0244198
+0.0241222
+0.0239868
+0.0240474
+0.0235927
+0.0226249
+0.0218347
+0.0212029
+0.0205729
+0.0201438
+0.0199473
+0.019913
+0.0201029
+0.0204547
+0.0203196
+0.0199096
+0.0196793
+0.0192263
+0.0189397
+0.0188275
+0.0189
+0.0190656
+0.0193148
+0.0197411
+0.0202709
+0.0208806
+0.021606
+0.0223768
+0.0230766
+0.0238451
+0.0245492
+0.0250482
+0.0257247
+0.0265542
+0.0275166
+0.0286147
+0.0298277
+0.0311476
+0.0325615
+0.0340507
+0.0355985
+0.0372109
+0.0388799
+0.0405985
+0.0423607
+0.0441613
+0.0830284
+0.0817969
+0.0804356
+0.0787818
+0.0771497
+0.075543
+0.0739663
+0.0724215
+0.0709108
+0.0694358
+0.0679981
+0.0666015
+0.0652485
+0.0638462
+0.0623047
+0.0608031
+0.0593443
+0.0579317
+0.0565662
+0.0552513
+0.0539933
+0.0527963
+0.0516645
+0.0506023
+0.0496141
+0.048693
+0.0478526
+0.0470991
+0.0464368
+0.0458697
+0.0454013
+0.0450254
+0.0447423
+0.0445652
+0.0444955
+0.0445335
+0.044679
+0.0430193
+0.041265
+0.0395543
+0.0378929
+0.0362879
+0.0347467
+0.033278
+0.0318759
+0.0305027
+0.0292293
+0.0280694
+0.0270375
+0.0261413
+0.0251298
+0.0241937
+0.0234144
+0.0227798
+0.022294
+0.0219677
+0.0218229
+0.0218894
+0.0218585
+0.0208103
+0.0199483
+0.0192977
+0.0186445
+0.0181698
+0.0179518
+0.017918
+0.0181239
+0.0185264
+0.0187361
+0.0183151
+0.0180999
+0.0177457
+0.0174609
+0.0173442
+0.0174235
+0.0176241
+0.0178722
+0.0183321
+0.0188941
+0.019526
+0.0203027
+0.0210915
+0.0218212
+0.0226135
+0.0235124
+0.0240466
+0.0247505
+0.0256116
+0.0266081
+0.0277421
+0.0289917
+0.030348
+0.0317975
+0.0333208
+0.034901
+0.0365442
+0.0382423
+0.0399883
+0.0417763
+0.043601
+0.0820714
+0.0807774
+0.0790701
+0.0773872
+0.0757302
+0.0741
+0.0724919
+0.070915
+0.0693715
+0.0678636
+0.0663931
+0.0649619
+0.063574
+0.0622324
+0.0607881
+0.059248
+0.05775
+0.0562973
+0.0548937
+0.0535394
+0.0522402
+0.0510021
+0.0498295
+0.0487273
+0.0477003
+0.0467484
+0.0458723
+0.0450858
+0.0443935
+0.0437999
+0.0433092
+0.0429187
+0.0426216
+0.0424357
+0.0423625
+0.0424024
+0.0425552
+0.0418952
+0.0400912
+0.0383276
+0.0366101
+0.0349456
+0.033342
+0.0318085
+0.030352
+0.0289773
+0.0276523
+0.0264232
+0.0253243
+0.0243695
+0.0232369
+0.0222211
+0.0213798
+0.0206972
+0.0201775
+0.0198211
+0.0196648
+0.0197386
+0.0200134
+0.0190732
+0.0181288
+0.0174104
+0.0167463
+0.0162514
+0.0160072
+0.0159743
+0.0161964
+0.0166632
+0.0172163
+0.0168188
+0.0165842
+0.016409
+0.0161173
+0.0160125
+0.0161103
+0.0163443
+0.0165873
+0.0170818
+0.0176678
+0.0183337
+0.0191402
+0.0199448
+0.0207162
+0.0215348
+0.0224494
+0.0232092
+0.0239377
+0.024827
+0.0258537
+0.0270194
+0.0283009
+0.0296888
+0.0311689
+0.0327216
+0.0343293
+0.0359986
+0.0377213
+0.0394904
+0.0412999
+0.0431448
+0.0811255
+0.0794782
+0.0777424
+0.0760301
+0.0743429
+0.0726826
+0.071051
+0.0694449
+0.067868
+0.0663259
+0.0648211
+0.0633556
+0.0619318
+0.0605537
+0.0592247
+0.0577342
+0.0561958
+0.0547019
+0.0532562
+0.0518628
+0.0505213
+0.04924
+0.0480244
+0.0468798
+0.0458113
+0.0448246
+0.0439121
+0.0430898
+0.0423649
+0.0417425
+0.0412272
+0.0408209
+0.0405084
+0.0403128
+0.0402356
+0.0402777
+0.0404385
+0.0407167
+0.0389469
+0.0371724
+0.0354092
+0.0336853
+0.0320187
+0.0304185
+0.0288959
+0.0274593
+0.0261162
+0.0248612
+0.02369
+0.0226648
+0.0214008
+0.0202934
+0.0193712
+0.0186394
+0.0180734
+0.0176853
+0.0175149
+0.0175972
+0.0179006
+0.0174386
+0.0164004
+0.0156025
+0.0149194
+0.0143813
+0.0141048
+0.0141031
+0.0143447
+0.0148512
+0.0155059
+0.0154713
+0.0152336
+0.0152267
+0.0149501
+0.0148612
+0.0149692
+0.0152181
+0.0154788
+0.0160076
+0.0166408
+0.0173373
+0.0181389
+0.0189824
+0.0197862
+0.020606
+0.0215572
+0.0225541
+0.0233031
+0.0242157
+0.0252673
+0.0264589
+0.0277663
+0.0291795
+0.0306843
+0.0322603
+0.0338899
+0.0355798
+0.0373218
+0.039109
+0.0409354
+0.042796
+0.0800043
+0.0782189
+0.0764545
+0.0747126
+0.072995
+0.0713033
+0.0696394
+0.0680054
+0.0664027
+0.0648258
+0.0632854
+0.0617843
+0.0603244
+0.0589087
+0.0575417
+0.0562268
+0.0546848
+0.0531484
+0.0516593
+0.0502216
+0.0488399
+0.0475135
+0.0462526
+0.045063
+0.0439504
+0.0429209
+0.0419746
+0.0411136
+0.0403532
+0.0396993
+0.0391571
+0.0387315
+0.0384039
+0.0381975
+0.038116
+0.0381604
+0.0383301
+0.0386236
+0.0378352
+0.036006
+0.0342192
+0.032482
+0.0307945
+0.0291272
+0.0275333
+0.0260263
+0.0246167
+0.0233158
+0.0221455
+0.0209659
+0.0196316
+0.0184245
+0.0174036
+0.0165997
+0.015991
+0.0155649
+0.0153765
+0.0154671
+0.015809
+0.015938
+0.0147948
+0.0139051
+0.0132038
+0.0125937
+0.0122918
+0.012309
+0.0126021
+0.0131537
+0.0139307
+0.014328
+0.0140879
+0.0141159
+0.0139892
+0.0139408
+0.0140758
+0.0143402
+0.0146164
+0.0151248
+0.0158244
+0.0165417
+0.017347
+0.018206
+0.0190219
+0.0198732
+0.0208578
+0.0219119
+0.0228617
+0.0237912
+0.0248608
+0.0260709
+0.0273968
+0.0288282
+0.0303504
+0.0319429
+0.0335879
+0.0352922
+0.0370478
+0.0388476
+0.0406857
+0.0425572
+0.0788143
+0.0770012
+0.0752083
+0.0734369
+0.0716887
+0.0699654
+0.0682689
+0.0666013
+0.0649647
+0.0633617
+0.0617891
+0.0602507
+0.0587536
+0.0572992
+0.0558928
+0.0545382
+0.0532174
+0.0516374
+0.0501034
+0.0486197
+0.0471911
+0.0458228
+0.0445181
+0.0432808
+0.0421212
+0.0410458
+0.0400615
+0.0391602
+0.0383611
+0.0376726
+0.0371009
+0.0366514
+0.0363096
+0.0360912
+0.036005
+0.0360519
+0.0362315
+0.0365418
+0.0368125
+0.0349367
+0.0330938
+0.0312941
+0.0295473
+0.0278633
+0.0262542
+0.0246996
+0.0232154
+0.0218437
+0.0205949
+0.0193596
+0.0179208
+0.0166222
+0.0154959
+0.014599
+0.0139288
+0.0134669
+0.0132552
+0.013354
+0.0137483
+0.0143881
+0.0133566
+0.0123639
+0.0116321
+0.0109522
+0.010622
+0.0106441
+0.0110191
+0.0116223
+0.0125089
+0.0133804
+0.0131917
+0.0132364
+0.0133053
+0.0132686
+0.0134338
+0.0137111
+0.0139845
+0.0145105
+0.015238
+0.0159843
+0.0167587
+0.0176465
+0.0184869
+0.0193577
+0.0203712
+0.0214492
+0.0225603
+0.0235533
+0.024643
+0.0258633
+0.0271994
+0.0286406
+0.0301723
+0.031771
+0.0334224
+0.0351328
+0.0368941
+0.0386992
+0.0405423
+0.0424185
+0.0776678
+0.0758273
+0.0740059
+0.0722051
+0.0704263
+0.0686713
+0.0669421
+0.0652405
+0.063569
+0.0619298
+0.0603256
+0.0587589
+0.0572228
+0.0557284
+0.0542813
+0.0528854
+0.0515449
+0.0501761
+0.048596
+0.0470648
+0.0455875
+0.0441695
+0.0428167
+0.0415354
+0.040328
+0.0392035
+0.0381717
+0.0372333
+0.0363919
+0.0356654
+0.035061
+0.034585
+0.0342273
+0.0339955
+0.033904
+0.0339539
+0.0341445
+0.0344736
+0.0347376
+0.0339638
+0.032071
+0.0302186
+0.0284057
+0.0266497
+0.0249624
+0.0233589
+0.0218576
+0.0204723
+0.0191156
+0.0177966
+0.0163136
+0.0148975
+0.0136525
+0.0126471
+0.0118991
+0.0114038
+0.0111566
+0.0112703
+0.0117349
+0.0124526
+0.0120712
+0.0110114
+0.0102185
+0.00953402
+0.00917407
+0.00920236
+0.00961448
+0.0103059
+0.0112892
+0.0124462
+0.0125692
+0.0126542
+0.0129196
+0.0129064
+0.0130735
+0.0133104
+0.0136542
+0.0142107
+0.0149249
+0.0157146
+0.0164435
+0.0173413
+0.0181855
+0.0190607
+0.0200977
+0.0212038
+0.0223271
+0.0234791
+0.024602
+0.0258273
+0.0271649
+0.0286079
+0.0301379
+0.0317232
+0.0333769
+0.0350895
+0.0368528
+0.0386599
+0.0405048
+0.0423826
+0.0765668
+0.0746992
+0.0728496
+0.0710195
+0.0692102
+0.0674236
+0.0656615
+0.0639259
+0.062219
+0.0605433
+0.0589014
+0.0572962
+0.0557309
+0.0542006
+0.0527116
+0.051273
+0.0498891
+0.0485646
+0.0471422
+0.0455623
+0.0440346
+0.0425649
+0.0411593
+0.0398248
+0.0385685
+0.0373985
+0.0363157
+0.035333
+0.0344464
+0.0336789
+0.033039
+0.032534
+0.0321594
+0.0319127
+0.0318151
+0.0318683
+0.0320713
+0.0324214
+0.0326276
+0.0324423
+0.0311628
+0.0292528
+0.027385
+0.0255665
+0.0238026
+0.0221151
+0.020523
+0.0190501
+0.017645
+0.016318
+0.0147924
+0.0132858
+0.0119108
+0.0107556
+0.00989778
+0.0093795
+0.00909715
+0.00923623
+0.00978603
+0.0106158
+0.0110712
+0.0099444
+0.009108
+0.00845241
+0.00805009
+0.00809422
+0.00854434
+0.00931553
+0.0103919
+0.0116701
+0.0122528
+0.0123537
+0.0126055
+0.0128242
+0.0129399
+0.0132078
+0.0135879
+0.0141853
+0.0148944
+0.0156381
+0.0163994
+0.0172626
+0.0181105
+0.0190021
+0.0200298
+0.0211756
+0.0222952
+0.0234823
+0.0247259
+0.025954
+0.0272854
+0.0287223
+0.0302465
+0.0318264
+0.033475
+0.0351828
+0.0369417
+0.0387446
+0.0405856
+0.0424599
+0.0755134
+0.0736191
+0.0717416
+0.0698825
+0.068043
+0.0662249
+0.06443
+0.0626603
+0.060918
+0.0592054
+0.0575253
+0.0558806
+0.0542745
+0.0527105
+0.0511876
+0.0497048
+0.048276
+0.046906
+0.0456002
+0.0441173
+0.0425378
+0.0410145
+0.0395539
+0.0381632
+0.0368503
+0.0356239
+0.0344897
+0.0334584
+0.0325255
+0.0317117
+0.0310315
+0.0304938
+0.0301063
+0.0298452
+0.0297409
+0.0297978
+0.0300148
+0.0303886
+0.0305291
+0.0303309
+0.0302894
+0.0284168
+0.0264901
+0.0246075
+0.0227802
+0.0210223
+0.0193451
+0.0177748
+0.016249
+0.0148096
+0.0133772
+0.0118337
+0.0103
+0.00898739
+0.00799639
+0.00739533
+0.00711571
+0.00729345
+0.00793533
+0.00890122
+0.00977223
+0.0092385
+0.00837822
+0.00779227
+0.00741416
+0.00746205
+0.00794804
+0.00877055
+0.00982067
+0.0110346
+0.0117015
+0.011823
+0.0119166
+0.0118316
+0.0119751
+0.0124784
+0.0133021
+0.0143733
+0.0151273
+0.0158564
+0.0166077
+0.0174606
+0.0182994
+0.019179
+0.0202006
+0.0213236
+0.0224491
+0.0236673
+0.0249236
+0.0262565
+0.0275735
+0.0289962
+0.03051
+0.0320792
+0.0337154
+0.0354117
+0.0371597
+0.0389525
+0.0407842
+0.0426497
+0.0745091
+0.072589
+0.0706842
+0.0687964
+0.0669271
+0.0650779
+0.0632504
+0.0614468
+0.059669
+0.0579195
+0.056201
+0.0545164
+0.0528688
+0.051262
+0.0496997
+0.0481842
+0.0467088
+0.0452915
+0.0439376
+0.0426534
+0.0411033
+0.0395247
+0.0380069
+0.0365574
+0.0351792
+0.0338867
+0.0326899
+0.0315999
+0.030628
+0.0297755
+0.02905
+0.0284748
+0.0280582
+0.0277967
+0.0276847
+0.0277457
+0.0279787
+0.0283793
+0.0284444
+0.0282316
+0.0281879
+0.0277181
+0.0257391
+0.0237973
+0.0219024
+0.0200678
+0.0183117
+0.0166588
+0.015024
+0.0134739
+0.0119416
+0.0104683
+0.00891037
+0.00740684
+0.0062337
+0.00552746
+0.00523403
+0.00552699
+0.00630639
+0.00740696
+0.00832287
+0.00900156
+0.00814498
+0.00765675
+0.00730626
+0.0074461
+0.00793318
+0.00865767
+0.00971348
+0.0105603
+0.0108744
+0.0109993
+0.0109896
+0.0108384
+0.0109949
+0.011541
+0.0124094
+0.0135448
+0.0148786
+0.0163677
+0.0170965
+0.0179121
+0.018741
+0.0196007
+0.0206042
+0.0216836
+0.0228133
+0.0240275
+0.0252885
+0.0266272
+0.027998
+0.0294054
+0.0308991
+0.0324637
+0.0340881
+0.0357729
+0.0375047
+0.0392817
+0.0410987
+0.0429506
+0.0735509
+0.0716081
+0.0696793
+0.0677638
+0.0658652
+0.0639853
+0.0621257
+0.0602884
+0.0584755
+0.0566892
+0.0549322
+0.0532074
+0.051518
+0.0498676
+0.0482602
+0.0467004
+0.0451905
+0.0437239
+0.0423199
+0.0409851
+0.0397262
+0.0381009
+0.0365186
+0.035002
+0.0335599
+0.0322024
+0.0309406
+0.0297867
+0.0287536
+0.0278547
+0.0270908
+0.0264719
+0.0260232
+0.0257537
+0.0256507
+0.0257165
+0.0259677
+0.0263976
+0.0263769
+0.0261472
+0.0261001
+0.0262364
+0.0251436
+0.0231596
+0.0212078
+0.0193073
+0.0174749
+0.0157344
+0.0140099
+0.0123216
+0.0106265
+0.00906122
+0.0076903
+0.00613576
+0.00474811
+0.00387375
+0.00367131
+0.00404201
+0.0050242
+0.00633187
+0.00714419
+0.00794449
+0.00841151
+0.00803796
+0.00780294
+0.00795189
+0.00841643
+0.00904585
+0.00968401
+0.0102515
+0.0104161
+0.0105727
+0.010392
+0.0102251
+0.0103717
+0.0109168
+0.0117993
+0.0129881
+0.0143737
+0.0159409
+0.0176415
+0.0185872
+0.0193762
+0.0202196
+0.0211894
+0.0222481
+0.0233733
+0.0245626
+0.0258061
+0.0271366
+0.0285437
+0.0299562
+0.0314365
+0.0329756
+0.0345759
+0.0362381
+0.0379539
+0.0397165
+0.0415199
+0.0433589
+0.0726393
+0.0706721
+0.0687185
+0.0667795
+0.0648566
+0.06295
+0.0610589
+0.0591885
+0.0573408
+0.055518
+0.0537227
+0.0519578
+0.0502264
+0.0485321
+0.046879
+0.0452715
+0.0437148
+0.0422118
+0.0407558
+0.0393679
+0.0380556
+0.0367373
+0.0350984
+0.0335176
+0.0320087
+0.0305824
+0.0292508
+0.0280274
+0.0269268
+0.0259649
+0.0251574
+0.0245012
+0.0240157
+0.0237234
+0.0236314
+0.0237161
+0.0239883
+0.0244439
+0.024307
+0.0240818
+0.0240306
+0.0241786
+0.0244526
+0.0225718
+0.0205924
+0.0186506
+0.0167641
+0.0149608
+0.013215
+0.0113657
+0.00954454
+0.00784293
+0.00631983
+0.00510361
+0.0037815
+0.00280684
+0.00270853
+0.00321476
+0.00434348
+0.00543785
+0.00610078
+0.00659505
+0.00726461
+0.00816127
+0.00813532
+0.00824028
+0.00845949
+0.00896287
+0.00958522
+0.0103369
+0.010329
+0.0105483
+0.0102159
+0.00998104
+0.0101193
+0.0106773
+0.0115781
+0.0127814
+0.014183
+0.0157613
+0.0174644
+0.0192663
+0.02023
+0.0210392
+0.0219728
+0.0229955
+0.0240996
+0.0252639
+0.0264883
+0.0277883
+0.0291688
+0.0306205
+0.0320866
+0.0336077
+0.0351936
+0.0368279
+0.0385174
+0.0402554
+0.0420356
+0.043853
+0.071783
+0.0697917
+0.0678127
+0.065847
+0.0638961
+0.0619611
+0.0600437
+0.0581457
+0.0562686
+0.0544099
+0.0525768
+0.050772
+0.0489987
+0.0472604
+0.0455612
+0.0439055
+0.0422985
+0.040746
+0.0392517
+0.0378086
+0.0364402
+0.0351551
+0.0337506
+0.0321141
+0.030536
+0.0290374
+0.0276314
+0.0263329
+0.0251583
+0.024126
+0.0232547
+0.0225632
+0.0220388
+0.0217199
+0.0216194
+0.0217276
+0.0220243
+0.0225311
+0.0222488
+0.02203
+0.0219846
+0.0221463
+0.0225015
+0.0221309
+0.0201081
+0.0181245
+0.0161943
+0.0143391
+0.0124407
+0.0105339
+0.00869277
+0.00696135
+0.00532952
+0.00403816
+0.00329383
+0.00268751
+0.00248585
+0.00276633
+0.00362674
+0.004331
+0.00479922
+0.00542099
+0.00621584
+0.00722321
+0.00806626
+0.00828011
+0.00860995
+0.00920746
+0.00987109
+0.0103898
+0.010627
+0.0107701
+0.0104303
+0.010181
+0.0103131
+0.0108468
+0.0117338
+0.0128815
+0.0142733
+0.0158426
+0.0175378
+0.0193328
+0.0212024
+0.0220467
+0.0229394
+0.0239208
+0.024984
+0.0261131
+0.0273244
+0.0285913
+0.0299347
+0.0313687
+0.0328517
+0.0343557
+0.0359109
+0.0375295
+0.0391955
+0.0409046
+0.0426578
+0.0444498
+0.070984
+0.0689696
+0.0669663
+0.0649751
+0.0629971
+0.0610337
+0.0590862
+0.0571563
+0.0552459
+0.0533571
+0.0514922
+0.0496539
+0.0478399
+0.0460579
+0.0443126
+0.0426084
+0.0409506
+0.0393449
+0.037798
+0.0363146
+0.0348876
+0.0335431
+0.0322913
+0.030786
+0.0291536
+0.02758
+0.0260956
+0.0247165
+0.0234612
+0.0223505
+0.0214071
+0.0206538
+0.0200909
+0.0197405
+0.0196299
+0.0197629
+0.0200922
+0.0206465
+0.0202184
+0.0199822
+0.019967
+0.0201472
+0.020529
+0.0210724
+0.0197043
+0.0177172
+0.0157619
+0.0138742
+0.011914
+0.00995234
+0.00807189
+0.00631491
+0.00480322
+0.00360855
+0.00319457
+0.00320291
+0.00263935
+0.0027755
+0.00340764
+0.00354867
+0.00418308
+0.00495495
+0.0057519
+0.00677069
+0.00789308
+0.00877875
+0.00889753
+0.00926196
+0.00983121
+0.0104059
+0.0105241
+0.0107586
+0.0108003
+0.0107366
+0.010887
+0.0113939
+0.0122394
+0.0133454
+0.0146933
+0.016222
+0.0178813
+0.019645
+0.0214874
+0.0232064
+0.0240671
+0.0250043
+0.0260233
+0.0271091
+0.0282778
+0.0295306
+0.0308375
+0.0322314
+0.03371
+0.0352125
+0.0367427
+0.0383263
+0.0399672
+0.0416587
+0.0433817
+0.045145
+0.0702442
+0.068208
+0.0661816
+0.0641661
+0.0621623
+0.0601717
+0.0581954
+0.056235
+0.0542922
+0.0523689
+0.0504675
+0.0485904
+0.0467404
+0.0449191
+0.0431323
+0.0413842
+0.0396779
+0.0380184
+0.0364152
+0.034876
+0.0334007
+0.0319937
+0.0306788
+0.0294683
+0.0278505
+0.0262243
+0.024659
+0.0231946
+0.021852
+0.020655
+0.0196303
+0.018806
+0.0181919
+0.0178042
+0.0176814
+0.017829
+0.0182104
+0.0186914
+0.018205
+0.0179655
+0.0179487
+0.0181881
+0.0186053
+0.0192518
+0.0192623
+0.0172256
+0.0152317
+0.0132973
+0.0114239
+0.00953808
+0.00768944
+0.00592474
+0.00441727
+0.0034213
+0.00301158
+0.00293886
+0.00286763
+0.00308838
+0.00342927
+0.00381443
+0.00451748
+0.00527634
+0.00602373
+0.00692827
+0.0078425
+0.0087815
+0.00927777
+0.00962786
+0.0102248
+0.0108051
+0.0107497
+0.0109951
+0.0107726
+0.0106257
+0.0108538
+0.0114734
+0.0124084
+0.0136245
+0.0150297
+0.0165767
+0.018256
+0.0200343
+0.0218875
+0.0237981
+0.0253118
+0.0262264
+0.0271991
+0.0282395
+0.029364
+0.0305723
+0.0318629
+0.0332164
+0.034653
+0.0361607
+0.0376727
+0.0392293
+0.0408339
+0.0424909
+0.0441944
+0.0459343
+0.0695656
+0.0675089
+0.0654609
+0.0634224
+0.0613945
+0.0593781
+0.0573744
+0.0553849
+0.0534112
+0.0514551
+0.0495186
+0.0476041
+0.0457141
+0.0438503
+0.042018
+0.0402216
+0.038466
+0.0367572
+0.035102
+0.0335083
+0.0319853
+0.0305139
+0.0291322
+0.0278546
+0.0266548
+0.0249523
+0.0233167
+0.0217734
+0.0203466
+0.0190605
+0.0179452
+0.0170395
+0.0163592
+0.015927
+0.0157897
+0.0159548
+0.0163741
+0.0167534
+0.0162368
+0.0159778
+0.0159726
+0.0162517
+0.0167473
+0.0174628
+0.018266
+0.0170029
+0.0149794
+0.0129908
+0.0110693
+0.00920127
+0.00734634
+0.00567961
+0.00428065
+0.00333694
+0.00285936
+0.00285358
+0.00321226
+0.00377589
+0.00438594
+0.00497904
+0.00539432
+0.00637418
+0.00694044
+0.00767739
+0.00823227
+0.00896369
+0.00988231
+0.0103803
+0.0107865
+0.0110422
+0.0112456
+0.0114345
+0.0111048
+0.0109475
+0.0111487
+0.0117211
+0.0126292
+0.0138203
+0.0152074
+0.016738
+0.0184025
+0.0201679
+0.0220098
+0.0239107
+0.0258574
+0.0275487
+0.0284659
+0.0294734
+0.0305688
+0.0317312
+0.0329765
+0.0343105
+0.0357057
+0.0371707
+0.0386912
+0.0402211
+0.0417976
+0.0434179
+0.0450864
+0.0467979
+0.0689499
+0.0668743
+0.0648062
+0.0627465
+0.060696
+0.0586555
+0.0566264
+0.0546096
+0.0526069
+0.0506196
+0.0486499
+0.0466998
+0.0447717
+0.0428669
+0.0409907
+0.0391471
+0.0373411
+0.0355783
+0.0338655
+0.0322107
+0.0306232
+0.0291096
+0.0276728
+0.0263244
+0.0250951
+0.0238127
+0.0220929
+0.0204626
+0.0189417
+0.0175584
+0.0163526
+0.015366
+0.0146058
+0.01412
+0.0139648
+0.0141513
+0.0146084
+0.014879
+0.0143281
+0.0140392
+0.0140604
+0.0143766
+0.0149607
+0.0157542
+0.0167234
+0.0170334
+0.0149903
+0.0129949
+0.0110707
+0.00917881
+0.00736823
+0.00571648
+0.00437634
+0.0035811
+0.00340298
+0.00373003
+0.00410563
+0.00408536
+0.00450943
+0.00503588
+0.00559168
+0.00648508
+0.00721881
+0.00839291
+0.00890341
+0.00950541
+0.0101342
+0.0107227
+0.0112239
+0.0112968
+0.011603
+0.0121513
+0.0117532
+0.0115743
+0.0117699
+0.0123309
+0.0131893
+0.0143275
+0.0156564
+0.0171629
+0.0188033
+0.0205357
+0.0223474
+0.0242217
+0.0261453
+0.028108
+0.0298375
+0.0308137
+0.0318751
+0.0329951
+0.0341943
+0.0354826
+0.0368562
+0.0382795
+0.0397592
+0.041293
+0.042842
+0.0444336
+0.0460653
+0.0477418
+0.0683989
+0.066306
+0.0642197
+0.0621405
+0.0600693
+0.0580068
+0.0559541
+0.0539123
+0.0518826
+0.0498665
+0.0478657
+0.0458824
+0.0439184
+0.0419749
+0.0400569
+0.0381683
+0.0363136
+0.0344983
+0.0327291
+0.0310137
+0.0293615
+0.0277793
+0.0262769
+0.024877
+0.0235893
+0.0224242
+0.0210266
+0.0193066
+0.0176909
+0.0162065
+0.0148915
+0.0138009
+0.0129753
+0.0124259
+0.0122493
+0.0124509
+0.0129618
+0.0131032
+0.0124741
+0.0121864
+0.0122135
+0.0125763
+0.0132663
+0.0141549
+0.0152599
+0.0163928
+0.0152728
+0.013316
+0.0114443
+0.00959735
+0.00787802
+0.00635798
+0.00518577
+0.00457514
+0.00464545
+0.00426349
+0.00438405
+0.00425881
+0.00500738
+0.00551436
+0.00616615
+0.00694372
+0.00765232
+0.00870484
+0.00919805
+0.00995101
+0.0105493
+0.0109413
+0.011479
+0.0118586
+0.0121506
+0.0125586
+0.0126827
+0.012528
+0.012709
+0.0132198
+0.0140239
+0.0150993
+0.0163656
+0.0178122
+0.0193989
+0.0210939
+0.0228734
+0.0247189
+0.026611
+0.0285417
+0.0305076
+0.0322354
+0.033263
+0.0343523
+0.0355057
+0.0367481
+0.038076
+0.0394789
+0.0409152
+0.0424161
+0.0439592
+0.045523
+0.0471258
+0.0487658
+0.0679141
+0.0658058
+0.0637031
+0.0616065
+0.0595167
+0.0574344
+0.0553605
+0.0532959
+0.0512417
+0.0491994
+0.0471704
+0.0451565
+0.0431595
+0.0411802
+0.0392233
+0.0372925
+0.035392
+0.0335269
+0.0317035
+0.0299293
+0.0282138
+0.0265633
+0.0249879
+0.0235113
+0.0221532
+0.0209312
+0.0198519
+0.0183332
+0.016631
+0.0150422
+0.0136153
+0.0124131
+0.0114883
+0.010864
+0.0106616
+0.0108926
+0.0114731
+0.0114456
+0.0107351
+0.0104268
+0.0104899
+0.0109125
+0.0117124
+0.0127145
+0.013951
+0.0152429
+0.0158456
+0.013963
+0.0121838
+0.0104674
+0.00887875
+0.00753513
+0.00657947
+0.00612666
+0.00572096
+0.00510624
+0.00485758
+0.00519448
+0.00573019
+0.00614768
+0.00660221
+0.00704518
+0.0076661
+0.00842616
+0.0091489
+0.00959157
+0.0103455
+0.0114697
+0.0119087
+0.0125484
+0.0129557
+0.0130897
+0.0133398
+0.0137572
+0.0139222
+0.0143873
+0.0151294
+0.0161336
+0.0173246
+0.0186972
+0.0202145
+0.0218464
+0.0235691
+0.0253641
+0.0272171
+0.029117
+0.0310553
+0.0330236
+0.0347274
+0.0357839
+0.0369006
+0.0380975
+0.03938
+0.04074
+0.0421534
+0.0436117
+0.0451293
+0.0466788
+0.0482539
+0.0498652
+0.0672297
+0.0652005
+0.0631821
+0.061145
+0.0590403
+0.0569405
+0.0548479
+0.0527633
+0.0506876
+0.048622
+0.0465678
+0.0445267
+0.0425001
+0.0404885
+0.0384966
+0.0365274
+0.0345848
+0.0326736
+0.0307997
+0.0289703
+0.0271944
+0.0254779
+0.0238309
+0.0222777
+0.0208394
+0.0195414
+0.0184011
+0.0174409
+0.0157621
+0.0140721
+0.0125355
+0.0112185
+0.0102063
+0.00953399
+0.00930271
+0.00954693
+0.0102042
+0.00995648
+0.00918492
+0.00882439
+0.00891867
+0.00946038
+0.0103425
+0.011465
+0.0128394
+0.0142982
+0.015736
+0.0149003
+0.0132473
+0.0116373
+0.0102103
+0.00905427
+0.00827594
+0.00710476
+0.00629966
+0.00587318
+0.00561438
+0.00596642
+0.00622079
+0.00629784
+0.00682604
+0.00725535
+0.00785439
+0.00859782
+0.00899683
+0.00936176
+0.0101363
+0.0112432
+0.0124964
+0.0130966
+0.0138273
+0.0138191
+0.0140562
+0.0145747
+0.0153128
+0.0157386
+0.0164198
+0.0173526
+0.0184946
+0.0197862
+0.0212258
+0.0227853
+0.024442
+0.0261772
+0.0279764
+0.029828
+0.0317228
+0.0336536
+0.0356145
+0.0372724
+0.0383682
+0.0395224
+0.0407601
+0.0420755
+0.0434615
+0.0448825
+0.0463585
+0.0478892
+0.0494429
+0.0510267
+0.0665741
+0.0645243
+0.062484
+0.0604543
+0.0584362
+0.056431
+0.0544108
+0.0523125
+0.0502219
+0.0481374
+0.0460616
+0.043997
+0.0419448
+0.0399053
+0.0378827
+0.0358798
+0.0339002
+0.0319481
+0.030029
+0.0281495
+0.0263182
+0.0245405
+0.0228259
+0.0211993
+0.0196824
+0.0183024
+0.0170927
+0.0160708
+0.0150871
+0.0133455
+0.0117267
+0.0103064
+0.00919385
+0.00847998
+0.00821909
+0.00850978
+0.00924113
+0.00873944
+0.00788317
+0.00747347
+0.00763798
+0.00828123
+0.00923122
+0.0104774
+0.0119901
+0.0136138
+0.0151189
+0.0160816
+0.0145098
+0.013047
+0.011553
+0.0101352
+0.00899411
+0.0079062
+0.00704384
+0.00659567
+0.00622897
+0.00627355
+0.00634567
+0.00658102
+0.0070824
+0.00782043
+0.00829516
+0.00878596
+0.00915675
+0.00948831
+0.0102545
+0.0113844
+0.0126524
+0.0136142
+0.014682
+0.0148371
+0.015031
+0.0155004
+0.0162294
+0.0172082
+0.0178862
+0.0187462
+0.0198121
+0.0210475
+0.0224062
+0.0238889
+0.0254738
+0.0271431
+0.0288822
+0.0306792
+0.0325245
+0.0344104
+0.0363304
+0.0382796
+0.0398866
+0.0410149
+0.0422088
+0.0434804
+0.044823
+0.0462222
+0.0476567
+0.049147
+0.0506882
+0.0522446
+0.0659847
+0.063916
+0.0618556
+0.0598046
+0.0577638
+0.0557344
+0.0537176
+0.051715
+0.0497283
+0.0477321
+0.0456421
+0.0435568
+0.0414815
+0.0394188
+0.0373706
+0.0353395
+0.033328
+0.0313402
+0.0293814
+0.0274577
+0.0255769
+0.0237493
+0.0219882
+0.0203008
+0.0187111
+0.0172537
+0.0159647
+0.0148667
+0.0140071
+0.0129153
+0.0112347
+0.00974291
+0.00855739
+0.00778413
+0.00749906
+0.00782512
+0.00861479
+0.00793245
+0.00697785
+0.00653431
+0.00673395
+0.00745495
+0.0084888
+0.0098296
+0.0114283
+0.0131217
+0.0147509
+0.0164109
+0.0154329
+0.0137271
+0.0121774
+0.0108425
+0.00977515
+0.0086544
+0.00768776
+0.00721778
+0.00693258
+0.00696623
+0.00699527
+0.00722789
+0.00768764
+0.00838349
+0.00901938
+0.00939111
+0.00971797
+0.0100503
+0.0107767
+0.0118645
+0.013138
+0.0140666
+0.0152215
+0.0160427
+0.0162222
+0.0166504
+0.0173311
+0.0182509
+0.0193473
+0.0202811
+0.0212703
+0.0224304
+0.0237306
+0.0251353
+0.0266462
+0.0282463
+0.0299214
+0.0316594
+0.0334507
+0.0352871
+0.0371619
+0.0390695
+0.0410055
+0.0425553
+0.0437193
+0.0449482
+0.0462482
+0.0476136
+0.0490185
+0.0504686
+0.0519706
+0.0535202
+0.0654633
+0.0633776
+0.0612992
+0.0592288
+0.0571675
+0.0551161
+0.0530759
+0.0510481
+0.0490344
+0.0470348
+0.0450485
+0.043082
+0.0411241
+0.0390424
+0.0369734
+0.0349192
+0.0328827
+0.0308672
+0.0288773
+0.0269186
+0.0249984
+0.0231264
+0.0213152
+0.0195805
+0.0179455
+0.0164317
+0.0150698
+0.0138818
+0.0129579
+0.0123576
+0.0111064
+0.00959467
+0.00837236
+0.00757389
+0.00729801
+0.00760985
+0.0084365
+0.00754815
+0.00657873
+0.00618846
+0.00640601
+0.00714418
+0.0082667
+0.00964695
+0.0112716
+0.0129807
+0.0146609
+0.0163339
+0.0162008
+0.0145821
+0.0131208
+0.0118666
+0.0108317
+0.00962127
+0.00871582
+0.00829319
+0.00813103
+0.00808833
+0.0081116
+0.00831304
+0.00871576
+0.00941115
+0.0100333
+0.01043
+0.0107061
+0.0110267
+0.0116926
+0.0127022
+0.0138992
+0.01478
+0.0158833
+0.0171722
+0.0176022
+0.0179946
+0.0186262
+0.019485
+0.020516
+0.0217022
+0.0228457
+0.0239296
+0.025158
+0.0265044
+0.0279414
+0.0294713
+0.0310804
+0.032757
+0.0344913
+0.0362751
+0.0381013
+0.0399641
+0.0418587
+0.043781
+0.0452788
+0.0464729
+0.0477315
+0.0490556
+0.0504388
+0.0518491
+0.0528059
+0.0537286
+0.0650116
+0.0629109
+0.0608165
+0.0587292
+0.0566497
+0.0545789
+0.0525178
+0.0504676
+0.0484297
+0.0464041
+0.0443896
+0.0423925
+0.0404156
+0.0384618
+0.0365349
+0.0346326
+0.0325782
+0.0305426
+0.0285301
+0.0265458
+0.0245965
+0.0226914
+0.0208424
+0.019066
+0.0173843
+0.0158277
+0.014393
+0.013144
+0.0121642
+0.0115226
+0.011266
+0.00990447
+0.00872567
+0.00795868
+0.00768097
+0.00799692
+0.00878723
+0.00769892
+0.00681407
+0.00646041
+0.00666286
+0.00740839
+0.00851621
+0.00987696
+0.011456
+0.013141
+0.0148508
+0.0165085
+0.0171683
+0.015642
+0.0142685
+0.0130838
+0.0119888
+0.0108448
+0.0100462
+0.00966406
+0.00962165
+0.00958039
+0.00958312
+0.00971197
+0.0100781
+0.0107253
+0.0113562
+0.0117487
+0.0119685
+0.0122693
+0.0128943
+0.0138164
+0.0149454
+0.0157679
+0.0168066
+0.0180296
+0.0191313
+0.0194929
+0.0200774
+0.0208766
+0.0218426
+0.0229603
+0.024225
+0.0255289
+0.0266838
+0.0279628
+0.0293432
+0.0308035
+0.0323464
+0.0339606
+0.0356364
+0.0373655
+0.0391409
+0.0409565
+0.0428072
+0.0446886
+0.0465972
+0.0480475
+0.0492675
+0.0501363
+0.0508365
+0.0515864
+0.0524172
+0.0533231
+0.0646311
+0.0625176
+0.0604096
+0.0583077
+0.0562126
+0.054125
+0.0520459
+0.0499764
+0.0479176
+0.0458694
+0.0438303
+0.0418066
+0.0398005
+0.037815
+0.0358533
+0.0339197
+0.0320192
+0.0301582
+0.0283442
+0.0263504
+0.0243856
+0.0224625
+0.020593
+0.018793
+0.0170845
+0.0154978
+0.0140291
+0.0127445
+0.0117314
+0.0110647
+0.0107968
+0.0106648
+0.00957994
+0.00882796
+0.00857766
+0.00887794
+0.00957641
+0.00835067
+0.00754858
+0.00720178
+0.00741425
+0.00812671
+0.00924376
+0.0105526
+0.0120425
+0.0136555
+0.0153079
+0.0169209
+0.0183408
+0.0168928
+0.0156002
+0.0145141
+0.0133514
+0.0123312
+0.0116247
+0.0112961
+0.0113116
+0.011276
+0.0112771
+0.0113502
+0.0116789
+0.0122804
+0.0128462
+0.0132646
+0.0134597
+0.0137278
+0.0142892
+0.0151265
+0.0161928
+0.0169549
+0.0179511
+0.019101
+0.0203765
+0.021095
+0.0216363
+0.0223799
+0.0232999
+0.0243508
+0.0255468
+0.0268684
+0.028297
+0.0295063
+0.0308239
+0.0322298
+0.0337074
+0.0352594
+0.0368762
+0.0385497
+0.0402729
+0.0420396
+0.0438447
+0.0456834
+0.047552
+0.0486996
+0.0492357
+0.0498179
+0.0504885
+0.051244
+0.0520674
+0.0529638
+0.0643229
+0.0621989
+0.0600797
+0.0579659
+0.055858
+0.0537567
+0.0516628
+0.0495772
+0.0475012
+0.0454342
+0.0433746
+0.0413286
+0.0392981
+0.0372858
+0.0352948
+0.0333288
+0.0313926
+0.029492
+0.0276344
+0.0258134
+0.0240496
+0.0223613
+0.0205751
+0.0187734
+0.0170627
+0.0154413
+0.0139523
+0.0126689
+0.0116545
+0.0109821
+0.010693
+0.0107918
+0.0107518
+0.010082
+0.00986355
+0.0101145
+0.0105552
+0.00945724
+0.00870062
+0.00836927
+0.00855278
+0.0092333
+0.0102806
+0.0115466
+0.0129384
+0.0144629
+0.0160535
+0.0175983
+0.0192621
+0.0182959
+0.0170768
+0.0160138
+0.0149067
+0.0140003
+0.0133768
+0.0130923
+0.0131322
+0.0131191
+0.0131191
+0.0131448
+0.0134296
+0.0139939
+0.0145149
+0.0149488
+0.0151222
+0.0153613
+0.015865
+0.0166231
+0.0176058
+0.0183092
+0.0192376
+0.0203525
+0.021597
+0.0227098
+0.0232885
+0.0239809
+0.0248478
+0.0258524
+0.0269819
+0.0282364
+0.0296001
+0.0310586
+0.0323792
+0.0337269
+0.0351524
+0.0366431
+0.0382014
+0.0398193
+0.0414898
+0.0432068
+0.044965
+0.0467597
+0.0480714
+0.0484699
+0.0489617
+0.0495278
+0.0501832
+0.0509245
+0.0517479
+0.0526497
+0.0640882
+0.0619562
+0.0598284
+0.0577053
+0.0555875
+0.0534756
+0.0513702
+0.0492723
+0.0471829
+0.0451012
+0.0430258
+0.0409623
+0.0389128
+0.0368794
+0.0348652
+0.0328735
+0.0309088
+0.0289765
+0.0270824
+0.0252229
+0.0234146
+0.0216769
+0.020012
+0.0184564
+0.017041
+0.015666
+0.0142007
+0.0129419
+0.0119497
+0.0112949
+0.0110151
+0.011111
+0.0116178
+0.011603
+0.0114137
+0.0116312
+0.0118609
+0.0108578
+0.0101813
+0.00987209
+0.0100281
+0.0106146
+0.0115377
+0.0127736
+0.0138823
+0.0150522
+0.0164033
+0.017919
+0.0195556
+0.0197918
+0.0186027
+0.0176024
+0.0166017
+0.0157928
+0.0152428
+0.0149937
+0.0150286
+0.0150556
+0.0150547
+0.0150396
+0.0152891
+0.0158255
+0.0163077
+0.0167506
+0.0169055
+0.0171197
+0.0175731
+0.0182604
+0.0191656
+0.0198137
+0.0206747
+0.0217233
+0.0224169
+0.0231701
+0.0240982
+0.0251768
+0.0263936
+0.0274436
+0.0285133
+0.0297032
+0.0310024
+0.0323978
+0.0338775
+0.0352902
+0.0366618
+0.0381027
+0.0396036
+0.0411664
+0.0427843
+0.0444514
+0.0461622
+0.0475162
+0.0478185
+0.0482185
+0.0487102
+0.0492791
+0.0499378
+0.0506826
+0.0515099
+0.0524158
+0.0639277
+0.0617902
+0.0596565
+0.0575271
+0.0554024
+0.0532832
+0.0511699
+0.0490634
+0.0469647
+0.0448729
+0.0427864
+0.0407108
+0.0386479
+0.0365999
+0.0345693
+0.0325567
+0.0305633
+0.0285982
+0.0266683
+0.0247819
+0.0229468
+0.0211546
+0.0194443
+0.0178393
+0.0163706
+0.0150782
+0.014011
+0.0132223
+0.0126034
+0.0119844
+0.0116961
+0.0117865
+0.0122737
+0.0130785
+0.0131473
+0.0131548
+0.0125518
+0.0120963
+0.0118605
+0.0111907
+0.0106532
+0.0105404
+0.0108025
+0.0114843
+0.0125068
+0.0137594
+0.0152256
+0.0168477
+0.0185788
+0.0203985
+0.0202266
+0.0193093
+0.0184016
+0.0176753
+0.0171856
+0.0169651
+0.0169959
+0.0170537
+0.0170522
+0.0170056
+0.0172267
+0.017718
+0.0181739
+0.0186316
+0.018768
+0.0189612
+0.0193785
+0.0200039
+0.0208342
+0.0214319
+0.0216892
+0.0220688
+0.0226509
+0.0234067
+0.0243257
+0.0253947
+0.0266015
+0.0279282
+0.0291853
+0.0303529
+0.0316259
+0.0329752
+0.0343957
+0.0358749
+0.0374239
+0.0390345
+0.0406754
+0.0423452
+0.0440606
+0.045767
+0.0471551
+0.0473584
+0.0476617
+0.0480629
+0.0485562
+0.0491269
+0.0497876
+0.0505111
+0.0512948
+0.0521587
+0.0638421
+0.0617015
+0.0595647
+0.0574319
+0.0553036
+0.0531804
+0.0510629
+0.0489518
+0.046848
+0.0447508
+0.0426583
+0.0405757
+0.0385009
+0.0364372
+0.0343893
+0.03236
+0.0303532
+0.0283736
+0.0264273
+0.0245223
+0.0226662
+0.0208499
+0.0191123
+0.0174768
+0.0159748
+0.0146476
+0.0135464
+0.0127291
+0.012183
+0.0120144
+0.012242
+0.0127946
+0.0132448
+0.0139777
+0.0140216
+0.0131624
+0.0125629
+0.0122002
+0.0109052
+0.0098784
+0.00926497
+0.00913679
+0.00943804
+0.0102113
+0.0113477
+0.012715
+0.0142888
+0.0160061
+0.0178191
+0.0197091
+0.0216557
+0.0211056
+0.0202785
+0.0196218
+0.0191819
+0.0189846
+0.0190121
+0.0190942
+0.0190741
+0.0190208
+0.0192188
+0.0196603
+0.0201023
+0.0205493
+0.020688
+0.0208634
+0.0212565
+0.0218281
+0.0219243
+0.0219229
+0.0221175
+0.0224899
+0.0230613
+0.0238104
+0.0247314
+0.0257974
+0.0269862
+0.0282949
+0.0295991
+0.0307572
+0.0320234
+0.0333854
+0.0348279
+0.0363411
+0.0379193
+0.0395097
+0.0411553
+0.0428497
+0.0445874
+0.0463634
+0.0470599
+0.0472636
+0.0475533
+0.0479361
+0.0484151
+0.0489875
+0.0496083
+0.0503106
+0.0510973
+0.0519645
+0.0638315
+0.0616906
+0.0595534
+0.0574202
+0.0552914
+0.0531677
+0.0510497
+0.048938
+0.0468336
+0.0447287
+0.0426288
+0.0405385
+0.0384594
+0.0363933
+0.0343427
+0.0323106
+0.0303005
+0.0283172
+0.0263667
+0.024457
+0.0225954
+0.0207729
+0.0190283
+0.0173849
+0.0158743
+0.0145378
+0.0134277
+0.0126027
+0.012051
+0.0118806
+0.0121106
+0.0127069
+0.0135777
+0.0146918
+0.0141621
+0.0134954
+0.012846
+0.0114373
+0.0100435
+0.00891802
+0.00823335
+0.00808883
+0.00842762
+0.0092854
+0.0105223
+0.0119841
+0.0136425
+0.0154319
+0.0173052
+0.0192457
+0.0212275
+0.0229706
+0.022213
+0.0216151
+0.0212166
+0.0210384
+0.0210632
+0.0211646
+0.0211192
+0.0210711
+0.0212499
+0.0216501
+0.0215409
+0.0210874
+0.0208553
+0.020852
+0.0210777
+0.0215251
+0.0221691
+0.0223277
+0.0226487
+0.0230549
+0.0236165
+0.0243628
+0.0252775
+0.0263418
+0.0275081
+0.0287931
+0.0301668
+0.0313039
+0.0325488
+0.0338898
+0.0353158
+0.036817
+0.0383819
+0.0400003
+0.0416711
+0.0433881
+0.0451105
+0.0468618
+0.0470038
+0.0472028
+0.0474777
+0.0478352
+0.0482768
+0.0488019
+0.0494106
+0.0501077
+0.0508897
+0.0517526
+0.0638876
+0.0617483
+0.0596127
+0.0574813
+0.0553545
+0.053233
+0.0511172
+0.049008
+0.0469052
+0.0448002
+0.0427038
+0.0406174
+0.0385425
+0.0364811
+0.0344358
+0.0324094
+0.0304059
+0.0284299
+0.0264878
+0.0245875
+0.0227346
+0.0209246
+0.0191942
+0.0175631
+0.0160593
+0.0147288
+0.0136224
+0.0127986
+0.0122695
+0.0121022
+0.0123281
+0.0129062
+0.0137771
+0.0146173
+0.0137674
+0.0129203
+0.0123679
+0.0110383
+0.00961348
+0.00843076
+0.00770289
+0.00754823
+0.00791021
+0.00881846
+0.0101126
+0.0116247
+0.0133192
+0.015137
+0.0170427
+0.0189906
+0.0209832
+0.0230119
+0.0241912
+0.0236434
+0.0232796
+0.0231173
+0.0231399
+0.0232572
+0.0231909
+0.0231471
+0.0223054
+0.0215969
+0.0210886
+0.0207775
+0.0206773
+0.0206933
+0.0209206
+0.0213713
+0.0220199
+0.0224178
+0.0226148
+0.0230195
+0.0236212
+0.0244055
+0.0253553
+0.0264318
+0.0276306
+0.0289457
+0.0303621
+0.0318663
+0.0332107
+0.034526
+0.0359268
+0.0374035
+0.0389448
+0.0405407
+0.0421901
+0.0438868
+0.0456257
+0.0468055
+0.0468788
+0.047054
+0.0473298
+0.0476884
+0.0481313
+0.048658
+0.0492685
+0.0499676
+0.0507517
+0.051617
+0.0640127
+0.0618777
+0.0597468
+0.0576203
+0.0554989
+0.053383
+0.0512734
+0.0491709
+0.0470755
+0.0449784
+0.0428907
+0.0408138
+0.0387494
+0.0366997
+0.0346673
+0.0326553
+0.0306678
+0.0287099
+0.0267879
+0.0248924
+0.0230439
+0.0212605
+0.0195601
+0.0179611
+0.0164937
+0.0152012
+0.0141319
+0.0133395
+0.0128328
+0.0126729
+0.0128889
+0.0134428
+0.0142811
+0.013628
+0.0123917
+0.0114432
+0.01086
+0.0106151
+0.00959335
+0.0084189
+0.00768991
+0.0075465
+0.00791174
+0.00881984
+0.0100896
+0.0115966
+0.0132924
+0.0151135
+0.0170218
+0.0189718
+0.0209662
+0.0229964
+0.0250536
+0.0256984
+0.0253641
+0.0252152
+0.0252359
+0.0248702
+0.0237529
+0.0227919
+0.0218902
+0.0211679
+0.0206498
+0.0203141
+0.0202113
+0.0203452
+0.0207113
+0.021106
+0.0215731
+0.0222049
+0.0226656
+0.0230694
+0.0236699
+0.0244525
+0.0254006
+0.0264886
+0.0276849
+0.0289975
+0.0304115
+0.0319134
+0.0334912
+0.0351349
+0.0366587
+0.038107
+0.039621
+0.0411907
+0.0428151
+0.044488
+0.0462042
+0.0467582
+0.0468316
+0.047007
+0.047283
+0.047642
+0.0480853
+0.0486125
+0.0492106
+0.049892
+0.050659
+0.0515078
+0.0642123
+0.0620842
+0.0599606
+0.057842
+0.055729
+0.0536222
+0.0515224
+0.0494305
+0.0473465
+0.045262
+0.0431881
+0.0411262
+0.0390783
+0.0370468
+0.0350345
+0.0330449
+0.0310823
+0.0291441
+0.0272319
+0.0253647
+0.0235533
+0.0218116
+0.0201578
+0.0186102
+0.0171982
+0.0159629
+0.0149482
+0.0142015
+0.0137266
+0.0135772
+0.013779
+0.0142985
+0.0140585
+0.0125571
+0.0112355
+0.0101928
+0.0095334
+0.00928925
+0.00951949
+0.00893102
+0.00824743
+0.00811387
+0.00845464
+0.00930993
+0.0105207
+0.0119736
+0.0136225
+0.0154046
+0.0172808
+0.0192046
+0.0211771
+0.0231888
+0.0252303
+0.0272949
+0.027465
+0.0268919
+0.0254978
+0.0242192
+0.0230703
+0.0220796
+0.0212692
+0.020624
+0.0201881
+0.0199842
+0.0199704
+0.020106
+0.0204763
+0.0208309
+0.021304
+0.0219436
+0.0225621
+0.0230855
+0.0237775
+0.0246453
+0.0256112
+0.0266982
+0.0279012
+0.0292103
+0.030618
+0.0321102
+0.0336788
+0.0353138
+0.0370042
+0.0387441
+0.0403263
+0.0418696
+0.0434686
+0.0451174
+0.0467606
+0.0467612
+0.0468578
+0.0470427
+0.0473121
+0.047619
+0.0480239
+0.0485245
+0.0491178
+0.0498004
+0.0505688
+0.0514059
+0.0644857
+0.062367
+0.0602533
+0.0581454
+0.0560439
+0.0539494
+0.0518628
+0.0497853
+0.0477167
+0.0456492
+0.0435936
+0.0415519
+0.0395261
+0.0375188
+0.0355332
+0.0335716
+0.0316247
+0.0297105
+0.0278372
+0.0260135
+0.0242507
+0.0225629
+0.0209683
+0.0194853
+0.0181415
+0.016975
+0.0160245
+0.0153227
+0.0148697
+0.0147319
+0.0149181
+0.0151066
+0.0133688
+0.0117805
+0.0103726
+0.00925618
+0.00854063
+0.00829318
+0.00855028
+0.009314
+0.00928381
+0.00916253
+0.00946373
+0.0102219
+0.0113528
+0.0127065
+0.0142684
+0.0159724
+0.0177772
+0.0196606
+0.021602
+0.0235775
+0.0255819
+0.0276146
+0.0279901
+0.0264729
+0.0250555
+0.0237531
+0.0225805
+0.0215674
+0.0207369
+0.0200746
+0.0196265
+0.0194167
+0.019453
+0.0197003
+0.0201705
+0.0207843
+0.0212585
+0.0218994
+0.0225191
+0.0230838
+0.0237758
+0.0246437
+0.0256697
+0.0268314
+0.0281087
+0.0294936
+0.0309507
+0.0324331
+0.0339921
+0.0356178
+0.0373012
+0.0390295
+0.0408006
+0.0424173
+0.0440407
+0.0456687
+0.0468195
+0.0468202
+0.0469164
+0.0470846
+0.0472916
+0.0475852
+0.0479711
+0.0484531
+0.0490283
+0.0496934
+0.0504451
+0.0512793
+0.0648321
+0.062725
+0.0606239
+0.0585293
+0.0564421
+0.0543629
+0.0522929
+0.0502331
+0.0481838
+0.0461372
+0.0441044
+0.0420874
+0.0400874
+0.0381026
+0.0361413
+0.0342061
+0.0322964
+0.0304245
+0.028598
+0.0268261
+0.0251203
+0.0234951
+0.0219683
+0.0205575
+0.0192886
+0.0181958
+0.0173124
+0.0166419
+0.0162258
+0.0160996
+0.0162702
+0.0147413
+0.0129546
+0.0113083
+0.00987573
+0.00870761
+0.00792555
+0.00769967
+0.00797593
+0.00880592
+0.0100105
+0.0104939
+0.0107574
+0.0114329
+0.0124543
+0.0136996
+0.0151595
+0.0167732
+0.0185001
+0.0203165
+0.0222007
+0.0241273
+0.0260895
+0.0280854
+0.0275377
+0.0261627
+0.0247996
+0.0234829
+0.0222962
+0.0212695
+0.0204269
+0.0197542
+0.0192987
+0.0190853
+0.0191221
+0.0193737
+0.0198516
+0.0204914
+0.0211692
+0.0216394
+0.0222933
+0.0231089
+0.0239751
+0.0248361
+0.0258544
+0.0270082
+0.0282775
+0.0296545
+0.0311249
+0.0326762
+0.0342972
+0.0359787
+0.0377004
+0.0394167
+0.041178
+0.0428771
+0.0445024
+0.0461745
+0.0469806
+0.0469813
+0.0469877
+0.0470736
+0.047261
+0.0475487
+0.0479349
+0.0484172
+0.0489928
+0.0496584
+0.0504106
+0.0512454
+0.0652502
+0.0631571
+0.0610708
+0.0589921
+0.0569218
+0.0548609
+0.0528104
+0.0507716
+0.048745
+0.0467201
+0.0447075
+0.0427125
+0.0407376
+0.0387858
+0.0368609
+0.0349656
+0.0330997
+0.0312759
+0.0295022
+0.027788
+0.026145
+0.0245876
+0.0231331
+0.0217978
+0.0206054
+0.0195862
+0.0187615
+0.0181306
+0.0177494
+0.0176342
+0.0165405
+0.0146786
+0.0128922
+0.0112367
+0.00978147
+0.00862446
+0.00783411
+0.00760808
+0.00789367
+0.00873148
+0.00995742
+0.011445
+0.0123076
+0.0129048
+0.0138098
+0.0149413
+0.0162903
+0.0178074
+0.0194441
+0.0211798
+0.0229933
+0.0248586
+0.0267672
+0.028658
+0.0271745
+0.0257565
+0.0244154
+0.0231896
+0.0221132
+0.021195
+0.0203493
+0.019674
+0.0192165
+0.0190022
+0.0190392
+0.0192919
+0.0197718
+0.0203876
+0.0210504
+0.0215662
+0.0222222
+0.0230404
+0.024031
+0.0251717
+0.0262215
+0.0273598
+0.0286135
+0.0299751
+0.0314305
+0.0329674
+0.0345748
+0.0362433
+0.0379579
+0.0397121
+0.0415078
+0.0433399
+0.0450476
+0.0467001
+0.047131
+0.0470463
+0.0470392
+0.047125
+0.0473122
+0.0475996
+0.0479854
+0.0484672
+0.0490422
+0.0497072
+0.0504586
+0.0512913
+0.0657387
+0.0636617
+0.0615925
+0.059532
+0.0574812
+0.055441
+0.0534128
+0.0513975
+0.0493812
+0.0473804
+0.0453971
+0.0434337
+0.0414931
+0.0395787
+0.0376943
+0.035843
+0.0340253
+0.0322539
+0.030537
+0.0288843
+0.0273074
+0.0258202
+0.0244391
+0.0231792
+0.0220616
+0.0211128
+0.0203312
+0.0197505
+0.0194012
+0.018648
+0.0167339
+0.0148962
+0.0131394
+0.0115195
+0.0101051
+0.00898997
+0.00823477
+0.00802505
+0.00830253
+0.00910279
+0.0102875
+0.0117445
+0.0134027
+0.0145509
+0.0153471
+0.0163728
+0.0176124
+0.0190244
+0.0205732
+0.0222262
+0.0239606
+0.025756
+0.0276026
+0.028467
+0.0269321
+0.0254891
+0.0241192
+0.0228775
+0.0217858
+0.0208676
+0.0201468
+0.0196052
+0.019291
+0.0191337
+0.0191705
+0.0194215
+0.0198982
+0.0204997
+0.0211589
+0.0217149
+0.0223665
+0.0231796
+0.0241645
+0.0253012
+0.0264634
+0.0277185
+0.0290812
+0.0304503
+0.031884
+0.0334
+0.0349875
+0.0366373
+0.0383343
+0.040072
+0.0418523
+0.0436699
+0.0455204
+0.0472777
+0.0472128
+0.0471146
+0.0471076
+0.0471933
+0.0473802
+0.0476671
+0.0480524
+0.0485335
+0.0491078
+0.0497719
+0.0505223
+0.051354
+0.0662961
+0.064237
+0.062187
+0.0601469
+0.0581177
+0.0561007
+0.0540946
+0.0520906
+0.0501022
+0.0481314
+0.0461803
+0.0442518
+0.0423487
+0.0404747
+0.038634
+0.03683
+0.0350635
+0.0333473
+0.0316897
+0.0301004
+0.0285906
+0.0271737
+0.025865
+0.024678
+0.0236314
+0.0227301
+0.0219951
+0.0214594
+0.0210024
+0.019073
+0.0172063
+0.015425
+0.0137354
+0.0121949
+0.0108695
+0.00978876
+0.00909984
+0.00891026
+0.00916658
+0.00989722
+0.0110219
+0.0124042
+0.0139581
+0.01566
+0.0170277
+0.017958
+0.0190951
+0.0204047
+0.0218558
+0.0234223
+0.0250824
+0.0268028
+0.0285818
+0.0280759
+0.0266527
+0.0253364
+0.0240153
+0.0227682
+0.0216714
+0.0207487
+0.020024
+0.0194828
+0.0191666
+0.0190981
+0.0192799
+0.0197026
+0.0202188
+0.0208427
+0.0213671
+0.0219503
+0.0225754
+0.0233842
+0.0243623
+0.0254902
+0.02675
+0.0280394
+0.0293872
+0.0308183
+0.0323346
+0.0339247
+0.0355141
+0.0371405
+0.0388224
+0.0405472
+0.0423075
+0.0441064
+0.0459393
+0.0475809
+0.0473823
+0.0472845
+0.0472771
+0.0473624
+0.0475487
+0.0478346
+0.0482185
+0.048698
+0.0492703
+0.0499303
+0.0506601
+0.0514444
+0.0669205
+0.0648813
+0.0628523
+0.0608345
+0.0588291
+0.0568327
+0.0548412
+0.0528655
+0.0509074
+0.0489689
+0.0470526
+0.0451613
+0.0432982
+0.0414672
+0.0396726
+0.037918
+0.0362046
+0.0345452
+0.0329479
+0.0314223
+0.0299792
+0.0286311
+0.0273921
+0.0262742
+0.0252705
+0.0244157
+0.0237329
+0.0232374
+0.021604
+0.0197325
+0.0179154
+0.0161889
+0.0145798
+0.0131387
+0.0119238
+0.0109369
+0.0103249
+0.0101582
+0.0103864
+0.0110366
+0.0120554
+0.0133326
+0.0147859
+0.0164039
+0.0181405
+0.0196458
+0.0206948
+0.021909
+0.0232665
+0.0247438
+0.0263207
+0.0279804
+0.0292716
+0.0277369
+0.0262922
+0.024923
+0.0236777
+0.0225766
+0.021641
+0.0208275
+0.0201057
+0.0195687
+0.019254
+0.0191858
+0.0193667
+0.0197876
+0.0203016
+0.0209928
+0.0214455
+0.0220266
+0.0226905
+0.0234953
+0.024469
+0.0255922
+0.0268475
+0.028217
+0.0296596
+0.0311843
+0.0327569
+0.0343274
+0.0359628
+0.0376548
+0.0393959
+0.0411169
+0.0428667
+0.0446462
+0.0464578
+0.0477726
+0.0475748
+0.0474774
+0.047481
+0.0475743
+0.0477597
+0.0480444
+0.0484266
+0.0488693
+0.0493833
+0.0499881
+0.0506804
+0.0514568
+0.0676102
+0.0655924
+0.0635861
+0.0615924
+0.059606
+0.0576271
+0.055664
+0.0537186
+0.0517927
+0.0498887
+0.0480091
+0.046157
+0.0443358
+0.0425494
+0.0408016
+0.0390919
+0.0374322
+0.0358297
+0.0342923
+0.0328292
+0.0314507
+0.0301685
+0.0289941
+0.0279187
+0.0269753
+0.0261762
+0.0255406
+0.0242603
+0.0223806
+0.0205624
+0.0188238
+0.0171889
+0.0156827
+0.0143528
+0.0132501
+0.0123697
+0.011832
+0.0116868
+0.011885
+0.0124572
+0.0133682
+0.0145311
+0.0158751
+0.017392
+0.0190399
+0.020767
+0.022378
+0.0235068
+0.024777
+0.0261691
+0.0276649
+0.0292484
+0.0291118
+0.0275649
+0.0260788
+0.0246978
+0.0234404
+0.0223277
+0.0213458
+0.0205439
+0.0199515
+0.0195832
+0.0194127
+0.0194884
+0.0196984
+0.0200888
+0.0206182
+0.0212991
+0.0217454
+0.0223187
+0.0230145
+0.0238084
+0.0247697
+0.0258799
+0.0271218
+0.0284784
+0.0299338
+0.0314504
+0.0330377
+0.0346909
+0.0364008
+0.038144
+0.0398638
+0.0416278
+0.0434242
+0.0452525
+0.0470722
+0.0480241
+0.0478274
+0.047727
+0.047711
+0.0477617
+0.0479076
+0.0481529
+0.048496
+0.0489258
+0.0494392
+0.0500434
+0.050735
+0.0515105
+0.0683631
+0.0663683
+0.0643861
+0.0624099
+0.0604434
+0.0584928
+0.0565598
+0.0546462
+0.0527542
+0.0508862
+0.0490449
+0.0472334
+0.0454553
+0.0437106
+0.042005
+0.0403463
+0.0387404
+0.0371943
+0.0357157
+0.0343133
+0.0329969
+0.0317771
+0.0306487
+0.029633
+0.028746
+0.0279975
+0.0269965
+0.0251304
+0.0233209
+0.0215821
+0.0199327
+0.018392
+0.0169918
+0.0157727
+0.0147602
+0.0139735
+0.0135
+0.013373
+0.0135394
+0.0140443
+0.0148583
+0.0159341
+0.0171758
+0.0185869
+0.0201372
+0.0217772
+0.0235052
+0.0251812
+0.026383
+0.0276946
+0.0291121
+0.0306208
+0.0290876
+0.0275105
+0.0260224
+0.0246393
+0.0233801
+0.0222574
+0.0212651
+0.0204601
+0.0198652
+0.0194953
+0.0193239
+0.0194
+0.0196232
+0.0200411
+0.0206422
+0.0213936
+0.0218842
+0.0225777
+0.0234559
+0.0243155
+0.0252576
+0.0263472
+0.0275681
+0.0289037
+0.0303389
+0.0318503
+0.0334186
+0.0350538
+0.0367469
+0.0384902
+0.0402772
+0.0421024
+0.0439584
+0.0457654
+0.0476046
+0.0483176
+0.0480641
+0.0479096
+0.0478549
+0.0479005
+0.048046
+0.0482906
+0.0486327
+0.0490624
+0.0495744
+0.0501769
+0.0508667
+0.0516403
+0.0691773
+0.0672066
+0.0652404
+0.063286
+0.0613476
+0.0594267
+0.057525
+0.0556447
+0.0537878
+0.051957
+0.050155
+0.0483845
+0.046644
+0.0449429
+0.0432859
+0.0416781
+0.0401256
+0.038635
+0.0372137
+0.0358699
+0.0346127
+0.0334429
+0.0323668
+0.0314067
+0.0305712
+0.0297967
+0.0279532
+0.0261555
+0.0244221
+0.0227676
+0.0212049
+0.0197612
+0.0184652
+0.0173498
+0.0163994
+0.015695
+0.015275
+0.0151629
+0.0153113
+0.0157596
+0.0164892
+0.0174648
+0.0186309
+0.0199394
+0.0213926
+0.0229525
+0.0245981
+0.0263233
+0.027938
+0.0293045
+0.0306476
+0.0304859
+0.0289628
+0.0275299
+0.0261403
+0.0247639
+0.0235113
+0.0223954
+0.0214095
+0.0206101
+0.0200197
+0.0196526
+0.0194827
+0.0195582
+0.0197796
+0.0201942
+0.0207909
+0.021557
+0.0221506
+0.0228359
+0.0237046
+0.0247216
+0.0258264
+0.026962
+0.0281781
+0.0294861
+0.0308942
+0.0323839
+0.0339277
+0.0355394
+0.0372104
+0.0389329
+0.0407005
+0.0425075
+0.0443491
+0.0462212
+0.0479487
+0.0485537
+0.0483014
+0.0481476
+0.0480932
+0.0481386
+0.0482735
+0.0484978
+0.0488195
+0.0492367
+0.0497469
+0.0503473
+0.0510348
+0.0518058
+0.0700505
+0.0680942
+0.0661516
+0.0642249
+0.0623157
+0.0604256
+0.0585564
+0.0567102
+0.0548894
+0.0530966
+0.0513312
+0.0495974
+0.047901
+0.0462462
+0.0446376
+0.0430803
+0.0415802
+0.0401436
+0.0387776
+0.0374899
+0.0362866
+0.035161
+0.034139
+0.0332302
+0.0324416
+0.0308223
+0.029044
+0.0273182
+0.0256625
+0.0240879
+0.0226161
+0.0212684
+0.0200699
+0.0190215
+0.0181552
+0.0175216
+0.0171464
+0.0170466
+0.0171802
+0.0175809
+0.0182377
+0.0191243
+0.0202002
+0.021413
+0.0227724
+0.0242538
+0.025831
+0.0274789
+0.0291209
+0.030732
+0.0321005
+0.0305008
+0.0289784
+0.0275464
+0.0262108
+0.0249709
+0.0238439
+0.0227445
+0.0217744
+0.020989
+0.0204095
+0.0200496
+0.019883
+0.019957
+0.020174
+0.0205807
+0.0211665
+0.0219194
+0.0226245
+0.0232982
+0.0241315
+0.0251098
+0.0262037
+0.0274253
+0.0286947
+0.0300421
+0.0314844
+0.0330091
+0.0345683
+0.0361515
+0.0377954
+0.0394924
+0.0412361
+0.0430206
+0.0448411
+0.0465338
+0.0481128
+0.0488869
+0.0486264
+0.0484545
+0.0483814
+0.0484073
+0.0485322
+0.0487553
+0.0490753
+0.0494903
+0.0499979
+0.0505953
+0.0512795
+0.0520453
+0.0709685
+0.0690372
+0.0671219
+0.0652239
+0.0633448
+0.0614863
+0.0596504
+0.0578392
+0.0560546
+0.0542948
+0.0525675
+0.0508758
+0.0492235
+0.0476146
+0.0460538
+0.0445461
+0.043097
+0.0417127
+0.0403998
+0.0391655
+0.0380023
+0.036929
+0.0359573
+0.0350957
+0.0337284
+0.0319653
+0.0302543
+0.0285996
+0.0270185
+0.0255277
+0.0241438
+0.0228862
+0.021769
+0.0207867
+0.0199971
+0.0194236
+0.0190858
+0.0189963
+0.0191174
+0.0194783
+0.0200732
+0.020882
+0.0218761
+0.023001
+0.0242717
+0.0256667
+0.0271669
+0.0287551
+0.0303892
+0.0319582
+0.0322637
+0.0306725
+0.0291522
+0.0277119
+0.0263752
+0.025122
+0.0240033
+0.0230391
+0.0222296
+0.0215846
+0.0210215
+0.0206723
+0.0205108
+0.0205825
+0.020793
+0.0211878
+0.0217572
+0.0224042
+0.0228732
+0.0235032
+0.02431
+0.0252814
+0.026386
+0.0276076
+0.0289431
+0.0303722
+0.031887
+0.0334766
+0.0351288
+0.0367636
+0.0384538
+0.0401638
+0.0418795
+0.0436377
+0.0452869
+0.0468054
+0.0483756
+0.0492489
+0.0489813
+0.0488107
+0.048738
+0.0487637
+0.0488877
+0.0491092
+0.0494269
+0.0498384
+0.0503187
+0.0508834
+0.0515351
+0.0522706
+0.0719405
+0.0700361
+0.0681488
+0.0662803
+0.064432
+0.0626058
+0.0608037
+0.059025
+0.0572727
+0.0555515
+0.0538644
+0.0522148
+0.0506062
+0.0490428
+0.0475289
+0.0460695
+0.0446698
+0.0433358
+0.0420736
+0.040881
+0.0397647
+0.0387403
+0.0378152
+0.0366659
+0.0349138
+0.0332137
+0.0315675
+0.0299828
+0.0284787
+0.0270684
+0.0257674
+0.024593
+0.0235321
+0.0226265
+0.0219032
+0.021381
+0.0210746
+0.0209935
+0.0211044
+0.0214318
+0.0219738
+0.0227151
+0.023635
+0.0246816
+0.0258698
+0.0271829
+0.0286038
+0.030117
+0.0317096
+0.033266
+0.032554
+0.0309728
+0.0294634
+0.0280392
+0.026699
+0.0254597
+0.024351
+0.0233955
+0.0225952
+0.0219664
+0.0215002
+0.0212504
+0.0211965
+0.021353
+0.0216172
+0.0219972
+0.0224702
+0.0227898
+0.023251
+0.0238882
+0.0246824
+0.0256397
+0.0267295
+0.0279361
+0.0292572
+0.030678
+0.0321853
+0.0337628
+0.0354039
+0.0371017
+0.0388489
+0.0406391
+0.0424588
+0.0440256
+0.0456249
+0.0470925
+0.0485421
+0.0496412
+0.0493758
+0.0492066
+0.0491346
+0.0491601
+0.0492832
+0.0495008
+0.0497952
+0.0501748
+0.0506465
+0.0512076
+0.0518552
+0.0525862
+0.0729655
+0.0710885
+0.0692299
+0.0673913
+0.0655743
+0.0637805
+0.0620078
+0.0602627
+0.0585474
+0.0568648
+0.0552179
+0.0536099
+0.0520445
+0.0505256
+0.0490575
+0.0476449
+0.0462929
+0.045007
+0.0437896
+0.042637
+0.0415679
+0.0405891
+0.0396279
+0.0378861
+0.0361931
+0.0345538
+0.0329671
+0.0314531
+0.0300227
+0.0286884
+0.0274642
+0.0263558
+0.0253619
+0.024524
+0.0238583
+0.0233798
+0.0230999
+0.023026
+0.0231281
+0.0234273
+0.0239242
+0.0246067
+0.0254598
+0.0264369
+0.0275495
+0.0287861
+0.0301315
+0.0315716
+0.0330942
+0.0342944
+0.0326987
+0.0311741
+0.0297329
+0.0283768
+0.0271217
+0.025965
+0.0248789
+0.0239436
+0.0231522
+0.0225093
+0.0220543
+0.0218108
+0.0217583
+0.0219108
+0.022147
+0.0225592
+0.0229858
+0.023353
+0.0238032
+0.0244423
+0.0252401
+0.026177
+0.0272453
+0.02843
+0.0297292
+0.0311285
+0.032615
+0.0341727
+0.0357949
+0.0374751
+0.0392056
+0.0409802
+0.0427934
+0.0443826
+0.0458843
+0.0472695
+0.0487139
+0.0500487
+0.0497854
+0.0496176
+0.0495462
+0.0495715
+0.0496936
+0.0499115
+0.0502221
+0.0505985
+0.0510663
+0.0516177
+0.0522516
+0.0529524
+0.0737235
+0.072192
+0.0703626
+0.0685544
+0.0667666
+0.0650015
+0.063263
+0.0615534
+0.0598752
+0.058231
+0.0566238
+0.0550569
+0.0535338
+0.0520583
+0.0506347
+0.0492673
+0.0479611
+0.0467211
+0.0455388
+0.0444316
+0.0434068
+0.0424703
+0.0408771
+0.0391908
+0.0375523
+0.0359645
+0.0344429
+0.0329967
+0.0316361
+0.0303728
+0.0292193
+0.0281726
+0.027245
+0.0264668
+0.0258512
+0.0254102
+0.0251529
+0.0250851
+0.0251798
+0.0254549
+0.0259129
+0.0265444
+0.0273373
+0.0282531
+0.0292969
+0.0304626
+0.0317369
+0.0331073
+0.0345623
+0.0345147
+0.0329297
+0.0314163
+0.0299868
+0.0286427
+0.0273998
+0.0262665
+0.0252722
+0.0244118
+0.0237071
+0.0231888
+0.0228062
+0.0225623
+0.0224971
+0.0226288
+0.0228553
+0.0232549
+0.0236936
+0.0241018
+0.0245393
+0.0251597
+0.025949
+0.0268612
+0.0279159
+0.0290811
+0.0303524
+0.0317242
+0.033184
+0.0347162
+0.0363142
+0.0379713
+0.0396802
+0.0414345
+0.0432287
+0.0448037
+0.04617
+0.0475469
+0.0489831
+0.0504736
+0.0502872
+0.0501211
+0.0500504
+0.0500755
+0.0501963
+0.0504121
+0.0507026
+0.051068
+0.0515226
+0.0520491
+0.0526615
+0.0533569
+0.0744045
+0.0733444
+0.0715442
+0.0697624
+0.0680045
+0.0662724
+0.0645681
+0.062894
+0.0612525
+0.0596463
+0.0580783
+0.0565517
+0.05507
+0.0536368
+0.0522562
+0.0509324
+0.04967
+0.048465
+0.0473248
+0.0462604
+0.045277
+0.0438829
+0.0422031
+0.0405658
+0.0389777
+0.0374503
+0.0359916
+0.0346101
+0.0333155
+0.0321183
+0.0310297
+0.0300393
+0.0291712
+0.0284456
+0.0278738
+0.0274653
+0.0272275
+0.0271648
+0.0272532
+0.0275075
+0.0279319
+0.0285187
+0.0292568
+0.0301192
+0.0311004
+0.0322009
+0.033409
+0.0347134
+0.0361038
+0.0348716
+0.0333035
+0.031808
+0.0303852
+0.0290383
+0.0277989
+0.0266821
+0.0257039
+0.0248756
+0.0241854
+0.0236776
+0.0233649
+0.0232222
+0.0232788
+0.0235273
+0.0237452
+0.0241301
+0.0245714
+0.0249874
+0.0254423
+0.0260421
+0.0268054
+0.0276894
+0.0287137
+0.0298638
+0.0311176
+0.0324571
+0.0338853
+0.0353872
+0.0369562
+0.0385858
+0.0402686
+0.0419983
+0.0437694
+0.0452026
+0.0465572
+0.047923
+0.0493483
+0.050828
+0.0508785
+0.0507143
+0.0506444
+0.0506692
+0.0507886
+0.0509488
+0.0512007
+0.0515277
+0.0519261
+0.0524132
+0.0529863
+0.0536429
+0.0751433
+0.0745412
+0.0727668
+0.0710157
+0.0692896
+0.0675904
+0.0659202
+0.0642814
+0.0626762
+0.0611074
+0.0595779
+0.0580907
+0.0566492
+0.055257
+0.0539179
+0.0526359
+0.0514113
+0.0502425
+0.0491436
+0.0481194
+0.0469008
+0.0452269
+0.0435912
+0.0420032
+0.0404714
+0.0390026
+0.0376042
+0.0362841
+0.0350514
+0.0339155
+0.0328865
+0.0319471
+0.0311323
+0.0304535
+0.0299201
+0.0295399
+0.0293189
+0.0292607
+0.0293436
+0.02958
+0.029975
+0.0305219
+0.0312073
+0.0320262
+0.0329508
+0.0339915
+0.0351381
+0.0363806
+0.0369497
+0.035337
+0.0337894
+0.0323164
+0.0309009
+0.0295774
+0.0283616
+0.0272678
+0.0263003
+0.0254842
+0.0248123
+0.0243175
+0.0240132
+0.0238729
+0.023928
+0.0241822
+0.0246235
+0.0251661
+0.0255981
+0.0260226
+0.0264649
+0.0270574
+0.0277966
+0.0286616
+0.0296523
+0.0307673
+0.0319906
+0.033313
+0.034711
+0.0361786
+0.0377147
+0.0393128
+0.0409658
+0.0426673
+0.0444116
+0.0457031
+0.0470433
+0.0483954
+0.0498071
+0.0512737
+0.0515476
+0.0513855
+0.0512758
+0.0512097
+0.0512373
+0.0513584
+0.0515723
+0.051878
+0.0522737
+0.0527575
+0.053327
+0.0539794
+0.0758562
+0.0753406
+0.074034
+0.0723136
+0.0706192
+0.0689528
+0.0673165
+0.0657124
+0.0641431
+0.0626111
+0.0611192
+0.0596704
+0.0582681
+0.0569155
+0.0556163
+0.0543741
+0.0531806
+0.0520515
+0.0509916
+0.0499285
+0.0482601
+0.0466261
+0.0450385
+0.0435034
+0.0420263
+0.0406138
+0.0392727
+0.0380107
+0.0368358
+0.0357567
+0.0347739
+0.0338854
+0.0331183
+0.0324811
+0.0319815
+0.0316261
+0.0314197
+0.0313654
+0.0314476
+0.0316683
+0.0320374
+0.0325446
+0.0331873
+0.0339594
+0.0348408
+0.0358266
+0.0369162
+0.0381008
+0.0375131
+0.0359257
+0.0344047
+0.0329459
+0.0315562
+0.0302614
+0.0290735
+0.0279966
+0.0270546
+0.026262
+0.0256105
+0.0251314
+0.024837
+0.0247015
+0.0247547
+0.0250005
+0.0254276
+0.0260025
+0.0267451
+0.0271846
+0.0276209
+0.0281892
+0.0288994
+0.0297534
+0.0307187
+0.0317963
+0.0329814
+0.0342657
+0.0356384
+0.0370827
+0.0385828
+0.0401464
+0.0417664
+0.0434365
+0.0450421
+0.046302
+0.0476253
+0.0489613
+0.0503572
+0.0518082
+0.0521284
+0.0518787
+0.0517206
+0.0516551
+0.0516824
+0.0518025
+0.0520146
+0.0523177
+0.0527101
+0.0531899
+0.0537548
+0.0544022
+0.0765366
+0.0760626
+0.0753437
+0.0736538
+0.071991
+0.0703571
+0.0687542
+0.0671845
+0.0656503
+0.0641543
+0.0626992
+0.0612878
+0.0599233
+0.0586089
+0.0573481
+0.0561359
+0.0549802
+0.0538888
+0.0528658
+0.0513003
+0.0496689
+0.0480819
+0.046544
+0.0450602
+0.0436359
+0.0422771
+0.0409905
+0.039783
+0.038662
+0.0376353
+0.0366923
+0.0358514
+0.0351272
+0.0345271
+0.0340575
+0.033724
+0.0335306
+0.0334797
+0.0335606
+0.0337674
+0.0341116
+0.0345868
+0.0351922
+0.0359213
+0.0367641
+0.0376997
+0.0387367
+0.0398004
+0.0381824
+0.0366241
+0.0351316
+0.0336939
+0.0323363
+0.0310741
+0.0299184
+0.0288731
+0.0279606
+0.0271856
+0.0265547
+0.026093
+0.0258095
+0.0256906
+0.0257418
+0.0259783
+0.0263871
+0.0269416
+0.027659
+0.0284578
+0.028891
+0.0294407
+0.0301214
+0.0309417
+0.0318907
+0.0329391
+0.0340845
+0.0353286
+0.0366616
+0.038074
+0.0395534
+0.04108
+0.0426646
+0.0443009
+0.0457413
+0.0469751
+0.0482423
+0.049574
+0.050965
+0.0523908
+0.0526572
+0.05241
+0.0522536
+0.0521887
+0.0522158
+0.0523346
+0.0525446
+0.0528446
+0.0532178
+0.0536727
+0.05419
+0.0547814
+0.0772731
+0.0768037
+0.0763886
+0.0750341
+0.0734026
+0.0718008
+0.0702308
+0.0686949
+0.0671952
+0.0657344
+0.064315
+0.0629398
+0.0616119
+0.0603343
+0.0591058
+0.0579265
+0.0568073
+0.0557517
+0.0543462
+0.052718
+0.0511319
+0.0495918
+0.0481022
+0.0466679
+0.0452942
+0.0439867
+0.0427516
+0.0415952
+0.0405244
+0.0395426
+0.0386396
+0.0378421
+0.0371567
+0.0365898
+0.0361471
+0.035833
+0.0356511
+0.0356032
+0.0356781
+0.0358728
+0.036198
+0.0366462
+0.0372182
+0.0379083
+0.0387102
+0.0396054
+0.0405937
+0.0405504
+0.0389626
+0.0374309
+0.0359676
+0.0345647
+0.0332428
+0.0320163
+0.0308959
+0.0298847
+0.0290008
+0.0282408
+0.0276339
+0.0271905
+0.0269187
+0.0268122
+0.0268612
+0.027088
+0.0274836
+0.0280164
+0.0287069
+0.0295023
+0.0301077
+0.0307952
+0.0314487
+0.0322352
+0.0331472
+0.0341754
+0.0352892
+0.0364923
+0.0377842
+0.0391561
+0.0406
+0.042107
+0.0436543
+0.0450059
+0.0458805
+0.0468414
+0.0478832
+0.049001
+0.0501895
+0.0514438
+0.0527594
+0.0528623
+0.0527072
+0.0526429
+0.0526609
+0.0527611
+0.0529518
+0.0532321
+0.0536005
+0.0540553
+0.0545942
+0.0551875
+0.0780642
+0.0775995
+0.0771887
+0.0764522
+0.0748516
+0.0732815
+0.071744
+0.0702411
+0.0687752
+0.0673486
+0.0659639
+0.0646239
+0.0633313
+0.0620882
+0.0608879
+0.0597438
+0.0586593
+0.0573977
+0.0557726
+0.0541873
+0.0526454
+0.0511509
+0.049708
+0.0483214
+0.0469961
+0.0457373
+0.0445507
+0.0434423
+0.0424181
+0.0414718
+0.0406118
+0.0398537
+0.0392035
+0.0386667
+0.038248
+0.0379513
+0.0377795
+0.0377344
+0.0378039
+0.0379877
+0.0382961
+0.03872
+0.0392618
+0.0399165
+0.0406789
+0.0415392
+0.0424826
+0.0413972
+0.0398387
+0.0383421
+0.0369149
+0.0355494
+0.0342654
+0.0330769
+0.0319937
+0.0310184
+0.0301517
+0.0294215
+0.0288395
+0.0284149
+0.0281549
+0.028037
+0.028084
+0.0283009
+0.028684
+0.0292162
+0.029879
+0.0306501
+0.0312332
+0.0318974
+0.0326232
+0.0334645
+0.0344249
+0.0354863
+0.0365801
+0.0377473
+0.0389977
+0.0403284
+0.0414679
+0.0420891
+0.0428093
+0.0436217
+0.0445236
+0.0455131
+0.0465847
+0.0477328
+0.0489521
+0.0502374
+0.0515837
+0.0529858
+0.0532013
+0.0531289
+0.053138
+0.0532373
+0.0534263
+0.0537041
+0.0540693
+0.0545202
+0.0550546
+0.0556701
+0.0789081
+0.0784484
+0.0780421
+0.077689
+0.076336
+0.0747971
+0.0732913
+0.0718209
+0.0703878
+0.0689946
+0.0676437
+0.0663376
+0.065079
+0.0638623
+0.062696
+0.0615855
+0.060454
+0.0588317
+0.0572473
+0.055704
+0.0542052
+0.0527549
+0.0513572
+0.0500163
+0.0487371
+0.0475244
+0.0463836
+0.04532
+0.0443383
+0.0434259
+0.0426053
+0.0418833
+0.0412651
+0.0407554
+0.0403584
+0.0400774
+0.0399147
+0.039872
+0.0399368
+0.0401108
+0.040403
+0.0408061
+0.0413205
+0.0419431
+0.0426693
+0.0434938
+0.0439154
+0.0423363
+0.0408137
+0.0393542
+0.0379651
+0.0366388
+0.0353943
+0.034245
+0.0331999
+0.0322475
+0.0314134
+0.0307131
+0.030156
+0.0297503
+0.0294928
+0.0293744
+0.0294192
+0.0296264
+0.0299925
+0.0305119
+0.0311612
+0.0319072
+0.0324677
+0.0331071
+0.033807
+0.0346196
+0.0355487
+0.0365857
+0.0377189
+0.0388028
+0.0391078
+0.0395321
+0.0400643
+0.0407072
+0.041456
+0.0422944
+0.043224
+0.0442426
+0.0453442
+0.0465229
+0.0477731
+0.0490893
+0.0504662
+0.051895
+0.0533695
+0.0536872
+0.0537003
+0.0537985
+0.0539856
+0.0542605
+0.054622
+0.0550684
+0.0555975
+0.0561298
+0.0798033
+0.0793488
+0.0789471
+0.0785981
+0.0778538
+0.0763455
+0.0748708
+0.073432
+0.072031
+0.0706702
+0.0693519
+0.0680786
+0.0668479
+0.0656615
+0.0645277
+0.0634493
+0.0618947
+0.0603112
+0.0587666
+0.0572643
+0.0558075
+0.0543999
+0.0530455
+0.0517484
+0.0505131
+0.0493441
+0.0482463
+0.0472247
+0.0462751
+0.0454015
+0.0446173
+0.0439284
+0.0433394
+0.0428544
+0.042477
+0.04221
+0.0420557
+0.0420151
+0.0420756
+0.0422408
+0.0425184
+0.0429025
+0.0433921
+0.0439854
+0.0446784
+0.0454665
+0.0447825
+0.0433659
+0.0418807
+0.0404598
+0.0391092
+0.03782
+0.0366158
+0.035506
+0.0344816
+0.0335601
+0.0327594
+0.0320885
+0.0315558
+0.0311682
+0.0309225
+0.0308097
+0.0308524
+0.03105
+0.0313995
+0.031896
+0.0325328
+0.0332612
+0.0337993
+0.0344139
+0.0350878
+0.0358713
+0.0367689
+0.0371765
+0.0372379
+0.0374276
+0.0377437
+0.0381831
+0.0387339
+0.0393985
+0.0401717
+0.0410363
+0.0419938
+0.0430415
+0.0441731
+0.0453822
+0.046663
+0.0480096
+0.0494166
+0.0508748
+0.0523781
+0.0539284
+0.0543411
+0.0544422
+0.0546271
+0.0548988
+0.0552405
+0.0556194
+0.056044
+0.0565504
+0.080748
+0.0802989
+0.0799019
+0.0795571
+0.0792713
+0.0779246
+0.0764805
+0.0750725
+0.0737027
+0.0723733
+0.0710866
+0.0698433
+0.0686388
+0.0674839
+0.0663812
+0.064961
+0.0633784
+0.0618329
+0.0603273
+0.0588648
+0.0574486
+0.0560822
+0.0547694
+0.0535142
+0.0523205
+0.0511928
+0.0501355
+0.0491525
+0.0482336
+0.0473961
+0.0466454
+0.0459869
+0.0454246
+0.0449621
+0.0446025
+0.0443484
+0.0442015
+0.0441629
+0.0442195
+0.0443767
+0.044641
+0.045008
+0.0454749
+0.0460414
+0.0467039
+0.0469556
+0.045659
+0.044428
+0.0430329
+0.0416492
+0.0403216
+0.0390716
+0.0379072
+0.0368363
+0.0358463
+0.0349608
+0.0341929
+0.0335507
+0.0330415
+0.0326716
+0.0324373
+0.0323298
+0.0323705
+0.0325588
+0.0328924
+0.0333667
+0.0339391
+0.0341677
+0.0341524
+0.0342774
+0.0345412
+0.0349406
+0.0354639
+0.0358727
+0.0359363
+0.0361329
+0.0364602
+0.0369149
+0.0374843
+0.0381707
+0.0389683
+0.0398579
+0.040843
+0.0419194
+0.0430805
+0.0443195
+0.0456301
+0.0470033
+0.0484326
+0.0499171
+0.0514521
+0.0530332
+0.0546563
+0.0550872
+0.0552315
+0.0554501
+0.0557441
+0.0560823
+0.0565035
+0.0570058
+0.0817405
+0.0812969
+0.0809048
+0.0805643
+0.0802821
+0.0795328
+0.0781184
+0.0767405
+0.075401
+0.0741021
+0.0728459
+0.0716263
+0.0704522
+0.0693276
+0.0680302
+0.0664485
+0.0649021
+0.0633938
+0.0619262
+0.0605023
+0.0591253
+0.0577986
+0.0565257
+0.0553103
+0.0541563
+0.0530676
+0.0520484
+0.0510948
+0.0502112
+0.0494073
+0.0486876
+0.0480571
+0.0475193
+0.0470774
+0.0467341
+0.0464916
+0.0463515
+0.0463147
+0.0463678
+0.0465177
+0.0467699
+0.0471212
+0.0475673
+0.0481092
+0.0487436
+0.0478732
+0.0466072
+0.045314
+0.0438975
+0.0425468
+0.0412681
+0.0400685
+0.0389552
+0.0379359
+0.0370184
+0.0361896
+0.0354745
+0.0348826
+0.0344201
+0.0340924
+0.0339034
+0.0338554
+0.0339253
+0.0341052
+0.0337393
+0.0333222
+0.0330453
+0.0328966
+0.0328808
+0.0330106
+0.0332845
+0.0336988
+0.0342352
+0.0346476
+0.0347134
+0.0349168
+0.0352555
+0.0357255
+0.0363217
+0.0370319
+0.0378424
+0.0387549
+0.0397673
+0.0408721
+0.0420621
+0.0433302
+0.0446655
+0.0460631
+0.0475207
+0.0490328
+0.0505947
+0.0522017
+0.05385
+0.0555357
+0.0558047
+0.0559713
+0.0562228
+0.0565582
+0.0569758
+0.057474
+0.0827791
+0.0823411
+0.081954
+0.0816179
+0.0813393
+0.081119
+0.0797828
+0.0784341
+0.0771241
+0.0758547
+0.0746228
+0.0734313
+0.0722866
+0.0711019
+0.069521
+0.067974
+0.0664631
+0.064991
+0.0635603
+0.0621739
+0.0608348
+0.0595462
+0.0583114
+0.057134
+0.0560175
+0.0549657
+0.0539819
+0.0530562
+0.0522059
+0.0514331
+0.0507422
+0.0501375
+0.0496222
+0.0491992
+0.0488708
+0.048639
+0.0485051
+0.0484699
+0.0485198
+0.0486632
+0.0489043
+0.0492412
+0.0496683
+0.0501875
+0.0501764
+0.0488718
+0.0476323
+0.0461873
+0.0447984
+0.0434756
+0.0422251
+0.0410535
+0.0399677
+0.0389749
+0.0380683
+0.0372606
+0.0365665
+0.0359925
+0.0355445
+0.0352273
+0.0350444
+0.0346892
+0.0338653
+0.0331657
+0.0325943
+0.0321623
+0.0318754
+0.0317261
+0.0317096
+0.0318443
+0.032128
+0.0325521
+0.033106
+0.0335046
+0.0335726
+0.0337829
+0.0341328
+0.0346181
+0.0352331
+0.0359701
+0.0367987
+0.0377365
+0.0387755
+0.0399078
+0.0411257
+0.0424218
+0.0437848
+0.0452096
+0.0466939
+0.0482319
+0.0498189
+0.0514502
+0.0531217
+0.0548299
+0.0563157
+0.0564808
+0.0567301
+0.0570549
+0.0574528
+0.0579308
+0.0838372
+0.0834158
+0.0830478
+0.082716
+0.0824412
+0.0822238
+0.0814722
+0.0801519
+0.0788704
+0.0776273
+0.0764199
+0.0752569
+0.0741403
+0.0725958
+0.0710481
+0.0695351
+0.0680589
+0.066622
+0.0652271
+0.0638769
+0.0625742
+0.0613221
+0.0601239
+0.0589826
+0.0579018
+0.0568849
+0.0559281
+0.055035
+0.0542157
+0.053472
+0.0528077
+0.0522269
+0.0517325
+0.0513269
+0.0510122
+0.0507901
+0.0506619
+0.0506283
+0.0506752
+0.0508125
+0.0510434
+0.0513669
+0.0517767
+0.0522749
+0.0512238
+0.0499466
+0.0485668
+0.0471462
+0.0457865
+0.0444931
+0.043272
+0.0421294
+0.0410721
+0.0400966
+0.0392083
+0.0384246
+0.0377519
+0.0371962
+0.0367628
+0.0357448
+0.0346839
+0.0337178
+0.0328696
+0.0321486
+0.0315601
+0.0311137
+0.030817
+0.0306675
+0.0306505
+0.0307898
+0.0310832
+0.031515
+0.0320868
+0.0324693
+0.0325395
+0.0327564
+0.0331172
+0.0336171
+0.0342501
+0.0350043
+0.0358587
+0.0368204
+0.0378845
+0.0390426
+0.0402867
+0.041609
+0.0429977
+0.0444478
+0.0459567
+0.0475186
+0.0491286
+0.0507821
+0.0524749
+0.0542034
+0.0557425
+0.0569588
+0.057206
+0.0575356
+0.0579383
+0.0584124
+0.0849304
+0.0845145
+0.0841536
+0.0838475
+0.0835764
+0.083362
+0.0831849
+0.0818923
+0.0806384
+0.0794168
+0.078237
+0.0771014
+0.0756724
+0.0741243
+0.0726092
+0.0711293
+0.0696869
+0.0682843
+0.0669241
+0.0656088
+0.0643412
+0.0631242
+0.0619608
+0.060854
+0.059807
+0.0588227
+0.0578916
+0.0570292
+0.056239
+0.0555224
+0.0548829
+0.0543244
+0.0538492
+0.0534596
+0.0531576
+0.0529445
+0.0528215
+0.0527892
+0.0528335
+0.0529651
+0.0531868
+0.0534973
+0.0538916
+0.0536516
+0.052342
+0.0510216
+0.0495765
+0.0481858
+0.0468562
+0.0455931
+0.0444023
+0.0432896
+0.0421543
+0.0409065
+0.039734
+0.0386503
+0.037663
+0.0367798
+0.0360083
+0.0349253
+0.0338471
+0.0328624
+0.0319873
+0.0312412
+0.0306339
+0.0301737
+0.0298676
+0.0297202
+0.0297041
+0.0298478
+0.0301503
+0.0305998
+0.0311884
+0.0315512
+0.0316234
+0.0318466
+0.0322175
+0.0327312
+0.0333679
+0.0341284
+0.0350096
+0.0360028
+0.0370988
+0.0382835
+0.0395514
+0.0408975
+0.0423096
+0.0437825
+0.0453135
+0.0468968
+0.0485275
+0.0502007
+0.0519125
+0.0536592
+0.0551967
+0.056747
+0.0577612
+0.0580876
+0.0584868
+0.0589565
+0.0860655
+0.0856551
+0.0852944
+0.0849752
+0.0847077
+0.0844962
+0.084341
+0.0836538
+0.0824213
+0.081226
+0.0800729
+0.0787508
+0.0772022
+0.0756853
+0.0742021
+0.0727547
+0.0713451
+0.0699758
+0.068649
+0.0673674
+0.0661335
+0.0649501
+0.06382
+0.0627461
+0.0617312
+0.0607719
+0.0598709
+0.0590374
+0.0582744
+0.0575831
+0.0569668
+0.0564289
+0.0559716
+0.0555969
+0.0553065
+0.0551018
+0.0549836
+0.0549526
+0.0549943
+0.0551208
+0.0553338
+0.0556323
+0.0560124
+0.0548079
+0.0535265
+0.0520759
+0.0504677
+0.0488577
+0.0472943
+0.0457825
+0.0443273
+0.0429347
+0.0415967
+0.0403255
+0.0391357
+0.038035
+0.0370312
+0.0361325
+0.035347
+0.0342151
+0.0331137
+0.0321069
+0.0312103
+0.0304451
+0.0298216
+0.0293487
+0.0290339
+0.0288822
+0.0288657
+0.0290135
+0.0293247
+0.0297941
+0.0304145
+0.0307415
+0.0308157
+0.0310447
+0.0314251
+0.0319488
+0.0325953
+0.0333734
+0.0342741
+0.035288
+0.0363983
+0.0376022
+0.0388924
+0.0402605
+0.0416988
+0.0432005
+0.0447589
+0.0463686
+0.0480189
+0.0497092
+0.0514374
+0.0531997
+0.0547331
+0.0562962
+0.0579
+0.0587162
+0.0591112
+0.0595759
+0.0872358
+0.0868208
+0.0864587
+0.0861439
+0.08588
+0.0856714
+0.0855184
+0.0854213
+0.0842229
+0.0830536
+0.0818306
+0.0802816
+0.0787631
+0.0772769
+0.0758249
+0.074409
+0.0730314
+0.0716942
+0.0703999
+0.0691507
+0.0679493
+0.066798
+0.0656997
+0.064657
+0.0636723
+0.0627368
+0.0618644
+0.0610581
+0.0603207
+0.0596531
+0.0590584
+0.0585397
+0.058099
+0.0577382
+0.0574586
+0.0572615
+0.0571478
+0.057118
+0.0571574
+0.0572791
+0.0574842
+0.0577716
+0.05698
+0.0552124
+0.0534761
+0.0517743
+0.0501105
+0.0484886
+0.046913
+0.0453884
+0.0439202
+0.0425022
+0.0411424
+0.0398567
+0.0386524
+0.0375375
+0.0365201
+0.0356085
+0.0348112
+0.0336328
+0.0325117
+0.0314857
+0.0305708
+0.0297892
+0.0291517
+0.0286678
+0.0283454
+0.02819
+0.028173
+0.0283245
+0.0286431
+0.0291236
+0.0297579
+0.0300613
+0.0301371
+0.0303712
+0.0307599
+0.0312948
+0.0319546
+0.0327479
+0.0336608
+0.0346835
+0.0358112
+0.0370342
+0.0383435
+0.0397305
+0.0411874
+0.042707
+0.0442817
+0.0459055
+0.0475749
+0.0492851
+0.0510321
+0.0528121
+0.054354
+0.0559276
+0.0575417
+0.0591929
+0.0598093
+0.0602687
+0.0884294
+0.0880195
+0.0876624
+0.0873518
+0.0870916
+0.0868859
+0.086735
+0.0866393
+0.0860426
+0.0848983
+0.0833625
+0.0818425
+0.0803535
+0.0788972
+0.0774756
+0.0760904
+0.0747438
+0.0734378
+0.0721748
+0.0709569
+0.0697865
+0.0686661
+0.0675981
+0.0665851
+0.0656239
+0.0647162
+0.0638708
+0.0630902
+0.0623768
+0.0617315
+0.061157
+0.0606562
+0.060231
+0.059883
+0.0596135
+0.0594236
+0.059314
+0.0592853
+0.0593226
+0.0594399
+0.0596374
+0.0585406
+0.0567378
+0.0549625
+0.0532181
+0.0515079
+0.0498353
+0.0482043
+0.0466191
+0.0450847
+0.0436063
+0.0421716
+0.0408008
+0.0395039
+0.0382886
+0.0371628
+0.0361348
+0.0352133
+0.0344067
+0.0331851
+0.0320484
+0.0310071
+0.0300777
+0.0292829
+0.0286341
+0.0281413
+0.0278128
+0.0276544
+0.0276371
+0.0277915
+0.0281162
+0.0286055
+0.029251
+0.0295282
+0.0296055
+0.0298437
+0.0302392
+0.0307828
+0.0314433
+0.0322395
+0.0331614
+0.0341991
+0.0353422
+0.0365809
+0.0379059
+0.0393083
+0.0407803
+0.042313
+0.0439004
+0.0455379
+0.0472203
+0.0489428
+0.0507016
+0.0524928
+0.054061
+0.055643
+0.0572651
+0.058924
+0.0605787
+0.0610322
+0.0896601
+0.0892558
+0.0889037
+0.0885975
+0.088341
+0.0881382
+0.0879894
+0.0878951
+0.0878553
+0.0864445
+0.0849232
+0.0834317
+0.0819715
+0.0805446
+0.0791525
+0.0777972
+0.0764806
+0.0752048
+0.0739719
+0.0727841
+0.0716436
+0.0705527
+0.0695137
+0.0685289
+0.0675897
+0.0667088
+0.065889
+0.0651326
+0.0644418
+0.0638173
+0.0632618
+0.0627778
+0.0623671
+0.062031
+0.0617709
+0.0615876
+0.0614819
+0.0614542
+0.0614895
+0.0616027
+0.0602151
+0.0583828
+0.0565749
+0.0547944
+0.0530445
+0.0513285
+0.0496498
+0.0480125
+0.0464207
+0.0448795
+0.0433942
+0.0419529
+0.0405747
+0.0392704
+0.0380476
+0.0369144
+0.0358793
+0.0349511
+0.0341276
+0.0328777
+0.03173
+0.0306778
+0.0297381
+0.028934
+0.0282772
+0.0277781
+0.0274452
+0.0272847
+0.0272672
+0.0274236
+0.0277527
+0.0282482
+0.0289018
+0.0291321
+0.0292104
+0.0294518
+0.0298525
+0.0303901
+0.031059
+0.0318647
+0.0327973
+0.0338461
+0.0350007
+0.0362511
+0.0375877
+0.0390016
+0.0404847
+0.0420282
+0.0436259
+0.0452734
+0.0469652
+0.0486968
+0.0504641
+0.0522635
+0.0538556
+0.0554434
+0.0570712
+0.0587356
+0.0604335
+0.0617974
+0.0909269
+0.0905283
+0.0901811
+0.0898793
+0.0896265
+0.0894266
+0.08928
+0.089187
+0.0891477
+0.0880051
+0.0865113
+0.0850476
+0.0836157
+0.0822172
+0.080854
+0.0795277
+0.0782402
+0.0769936
+0.0757898
+0.074631
+0.0735191
+0.0724564
+0.0714451
+0.0704822
+0.069569
+0.0687134
+0.0679178
+0.0671843
+0.0665148
+0.06591
+0.0653722
+0.064904
+0.0645068
+0.064182
+0.0639306
+0.0637535
+0.0636514
+0.0636241
+0.0636581
+0.0619993
+0.0601415
+0.0583069
+0.0564966
+0.0547135
+0.052961
+0.0512422
+0.0495606
+0.0479202
+0.0463253
+0.0447808
+0.043281
+0.0418347
+0.0404553
+0.03915
+0.0379264
+0.0367912
+0.0357521
+0.03482
+0.0339703
+0.0327144
+0.0315607
+0.0304996
+0.0295542
+0.028745
+0.0280837
+0.0275811
+0.0272458
+0.0270748
+0.0270555
+0.0272132
+0.0275447
+0.028044
+0.0287022
+0.0288835
+0.0289624
+0.0292059
+0.02961
+0.0301519
+0.0308259
+0.0316376
+0.0325766
+0.0336323
+0.0347941
+0.0360516
+0.0373953
+0.0388162
+0.0403062
+0.0418562
+0.0434603
+0.0451138
+0.0468114
+0.0485485
+0.050321
+0.0521254
+0.0537388
+0.05533
+0.056961
+0.0586285
+0.0603295
+0.0620612
+0.0922073
+0.0918354
+0.0914932
+0.0911929
+0.0909437
+0.0907467
+0.0906022
+0.0905105
+0.0904718
+0.0895922
+0.0881252
+0.0866888
+0.0852844
+0.0839138
+0.0825785
+0.0812804
+0.0800212
+0.0788027
+0.077627
+0.0764959
+0.0754116
+0.0743759
+0.073391
+0.0724487
+0.0715606
+0.0707291
+0.0699565
+0.0692445
+0.0685951
+0.0680088
+0.0674878
+0.0670343
+0.0666498
+0.0663355
+0.0660923
+0.0659211
+0.0658223
+0.0657819
+0.0638839
+0.0620053
+0.0601477
+0.0583133
+0.0565032
+0.0547203
+0.052968
+0.0512494
+0.0495681
+0.0479279
+0.0463333
+0.0447754
+0.0432681
+0.0418213
+0.0404415
+0.0391357
+0.0379117
+0.036776
+0.0357365
+0.034804
+0.0339529
+0.032695
+0.0315219
+0.0304509
+0.0295039
+0.0286933
+0.0280309
+0.0275272
+0.0271913
+0.02702
+0.0270007
+0.0271586
+0.0274908
+0.027991
+0.0286504
+0.0287998
+0.028879
+0.0291232
+0.0295284
+0.0300718
+0.0307476
+0.0315613
+0.0325025
+0.0335605
+0.0347247
+0.0359846
+0.0373308
+0.038754
+0.0402463
+0.0417986
+0.0434048
+0.0450603
+0.0467598
+0.0484988
+0.0502731
+0.0520791
+0.0537053
+0.0552972
+0.0569289
+0.0585971
+0.0602987
+0.0620311
+0.0932939
+0.0930352
+0.0928275
+0.0925326
+0.092287
+0.0920929
+0.0919505
+0.0918602
+0.0918221
+0.0912042
+0.0897636
+0.0883538
+0.0869763
+0.0856328
+0.0843247
+0.0830539
+0.0818219
+0.0806307
+0.079482
+0.0783778
+0.0773198
+0.0763101
+0.0753458
+0.0744277
+0.0735635
+0.0727549
+0.072004
+0.0713125
+0.0706821
+0.0701133
+0.069608
+0.0691684
+0.0687959
+0.0684914
+0.0682559
+0.0680901
+0.0677702
+0.0658556
+0.0639588
+0.0620813
+0.060225
+0.0583918
+0.0565841
+0.0548044
+0.0530554
+0.0513403
+0.0496626
+0.0480263
+0.0464287
+0.04487
+0.0433661
+0.0419227
+0.0405463
+0.039244
+0.0380234
+0.0368912
+0.035855
+0.0349257
+0.0340505
+0.0327962
+0.0316269
+0.0305596
+0.0296161
+0.0288086
+0.0281489
+0.0276474
+0.027313
+0.0271424
+0.0271232
+0.0272804
+0.0276111
+0.0281092
+0.0287659
+0.0288746
+0.0289535
+0.0291971
+0.0296013
+0.030151
+0.0308251
+0.0316368
+0.0325758
+0.0336315
+0.0347933
+0.0360509
+0.0373946
+0.0388156
+0.0403055
+0.0418556
+0.0434597
+0.0451132
+0.0468108
+0.048548
+0.0503205
+0.0521249
+0.0537497
+0.0553403
+0.0569708
+0.0586378
+0.0603383
+0.0620695
+0.0944185
+0.0941629
+0.0939577
+0.0938033
+0.0936623
+0.093471
+0.0933308
+0.0932418
+0.0932042
+0.0928399
+0.0914251
+0.0900413
+0.08869
+0.0873728
+0.0860913
+0.0848469
+0.0836414
+0.0824764
+0.0813538
+0.0802753
+0.0792426
+0.0782577
+0.0773127
+0.0764183
+0.0755768
+0.07479
+0.0740597
+0.0733876
+0.0727752
+0.0722228
+0.0717324
+0.071306
+0.0709446
+0.0706494
+0.0704211
+0.0698305
+0.0679034
+0.0659927
+0.0640999
+0.0622267
+0.0603748
+0.0585464
+0.0567436
+0.054969
+0.0532254
+0.051516
+0.0498442
+0.0482141
+0.046623
+0.0450711
+0.0435741
+0.0421378
+0.0407687
+0.0394737
+0.0382604
+0.0371355
+0.0361063
+0.0351836
+0.0342879
+0.0330427
+0.0318824
+0.030824
+0.0298888
+0.0290889
+0.0284357
+0.0279394
+0.0276085
+0.0274397
+0.0274207
+0.0275763
+0.0279035
+0.0283964
+0.0290466
+0.0290905
+0.0291688
+0.0294106
+0.0298119
+0.0303646
+0.031034
+0.0318404
+0.0327736
+0.0338231
+0.0349785
+0.0362297
+0.037567
+0.0389817
+0.0404655
+0.0420112
+0.0436122
+0.0452627
+0.0469573
+0.0486916
+0.0504613
+0.0522625
+0.0538832
+0.05547
+0.0570968
+0.0587602
+0.0604573
+0.0621852
+0.0955707
+0.0953182
+0.0951155
+0.0949629
+0.0948536
+0.0947921
+0.0947416
+0.0946539
+0.0946169
+0.0944981
+0.0931084
+0.0917501
+0.0904244
+0.0891328
+0.0878769
+0.0866581
+0.0854782
+0.0843386
+0.0832411
+0.0821873
+0.081179
+0.0802136
+0.0792914
+0.0784195
+0.0775997
+0.0768337
+0.076123
+0.0754692
+0.0748739
+0.0743371
+0.0738607
+0.0734466
+0.0730959
+0.0728094
+0.0719653
+0.0700284
+0.0681068
+0.066202
+0.0643154
+0.0624486
+0.0606036
+0.0587822
+0.0569869
+0.0552201
+0.0534847
+0.0517839
+0.050121
+0.0485002
+0.0469189
+0.0453771
+0.0438905
+0.0424649
+0.0411067
+0.0398204
+0.0386146
+0.0374981
+0.0364792
+0.0355662
+0.0346625
+0.0334312
+0.0322849
+0.0312401
+0.0303178
+0.0295295
+0.0288863
+0.0283978
+0.0280723
+0.0279064
+0.0278877
+0.0280406
+0.0283625
+0.0288476
+0.0294879
+0.0294681
+0.0295454
+0.0297842
+0.0301805
+0.0307181
+0.0313799
+0.0321776
+0.0331013
+0.0341408
+0.0352858
+0.0365264
+0.0378533
+0.0392576
+0.0407314
+0.0422674
+0.0438591
+0.0455005
+0.0471867
+0.0489128
+0.0506748
+0.0524691
+0.0541052
+0.0556857
+0.0573063
+0.0589638
+0.0606552
+0.0623776
+0.0967587
+0.0965094
+0.0963092
+0.0961585
+0.0960522
+0.0959915
+0.0959807
+0.09602
+0.0960588
+0.0960723
+0.0948126
+0.093479
+0.0921781
+0.0909115
+0.0896805
+0.0884866
+0.0873313
+0.0862162
+0.085143
+0.084113
+0.0831281
+0.0821808
+0.0812809
+0.0804307
+0.0796316
+0.0788853
+0.0781932
+0.0775569
+0.0769777
+0.0764557
+0.0759926
+0.0755902
+0.0752494
+0.0741681
+0.0722238
+0.070294
+0.0683799
+0.0664829
+0.0646045
+0.0627463
+0.0609103
+0.0590984
+0.057313
+0.0555566
+0.053832
+0.0521425
+0.0504915
+0.0488829
+0.0473145
+0.0457859
+0.0443101
+0.0428954
+0.0415481
+0.0402749
+0.0390832
+0.0379805
+0.0369748
+0.0360743
+0.0351698
+0.0339569
+0.032829
+0.031802
+0.0308965
+0.0301234
+0.0294931
+0.0290148
+0.0286963
+0.028534
+0.0285157
+0.0286654
+0.0289803
+0.0294552
+0.0300825
+0.0300013
+0.0300773
+0.0303118
+0.0307013
+0.0312216
+0.031873
+0.0326587
+0.0335691
+0.0345945
+0.035725
+0.0369509
+0.038263
+0.0396529
+0.0411125
+0.0426348
+0.0442132
+0.045842
+0.047516
+0.0492305
+0.0509816
+0.0527655
+0.0544145
+0.0559863
+0.0575985
+0.0592478
+0.0609313
+0.0626461
+0.0979814
+0.0977351
+0.0975375
+0.0973887
+0.0972854
+0.0972254
+0.0972148
+0.0972536
+0.0973416
+0.0974788
+0.0965363
+0.0952269
+0.0939502
+0.0927078
+0.091501
+0.0903311
+0.0891998
+0.0881084
+0.0870584
+0.0860514
+0.085085
+0.0841591
+0.0832806
+0.0824509
+0.0816716
+0.0809441
+0.0802698
+0.0796501
+0.0790862
+0.0785782
+0.0781277
+0.0777363
+0.076433
+0.0744834
+0.0725475
+0.0706266
+0.0687218
+0.0668345
+0.0649662
+0.0631187
+0.0612938
+0.0594936
+0.0577204
+0.0559768
+0.0542656
+0.0525895
+0.0509524
+0.0493583
+0.0478008
+0.0462856
+0.0448262
+0.0434283
+0.042098
+0.040842
+0.0396673
+0.0385814
+0.0375918
+0.0367065
+0.0358042
+0.0346135
+0.0335077
+0.0325022
+0.0316167
+0.0308617
+0.0302467
+0.0297806
+0.0294704
+0.0293123
+0.0292946
+0.0294402
+0.0297469
+0.0302098
+0.0307639
+0.030682
+0.0307563
+0.0309857
+0.0313668
+0.0318681
+0.0325066
+0.0332773
+0.0341712
+0.0351791
+0.0362914
+0.0374988
+0.0387924
+0.0401639
+0.0416056
+0.0431104
+0.0446721
+0.0462847
+0.0479433
+0.0496431
+0.0513801
+0.0531506
+0.0548097
+0.0563704
+0.057972
+0.059611
+0.0612845
+0.0629897
+0.0992373
+0.0989942
+0.098799
+0.0986522
+0.0985518
+0.0984926
+0.0984822
+0.0985204
+0.0986073
+0.0987428
+0.0982787
+0.0969928
+0.0957397
+0.0945208
+0.0933374
+0.0921908
+0.0910826
+0.090014
+0.0889865
+0.0880016
+0.0870524
+0.0861476
+0.0852896
+0.0844797
+0.0837193
+0.0830097
+0.0823523
+0.0817484
+0.0811991
+0.0807044
+0.0802658
+0.0787546
+0.0768015
+0.0748615
+0.0729357
+0.0710252
+0.0691313
+0.0672551
+0.0653984
+0.063563
+0.0617508
+0.0599638
+0.0582045
+0.0564753
+0.0547792
+0.0531192
+0.051499
+0.0499223
+0.0483789
+0.0468824
+0.0454422
+0.0440638
+0.0427533
+0.0415172
+0.0403621
+0.0392954
+0.0383242
+0.0374562
+0.036559
+0.0353938
+0.0343131
+0.0333319
+0.0324691
+0.0317343
+0.0311366
+0.030684
+0.030383
+0.0302297
+0.0302125
+0.0303537
+0.0306513
+0.0311007
+0.03156
+0.0314802
+0.0315526
+0.0317763
+0.032148
+0.032649
+0.0332725
+0.0340259
+0.0349007
+0.0358881
+0.036979
+0.0381647
+0.0394364
+0.0407863
+0.0422067
+0.0436909
+0.0452325
+0.0468258
+0.0484659
+0.050148
+0.0518681
+0.0536225
+0.0552889
+0.0568365
+0.0584253
+0.0600519
+0.0617134
+0.0634071
+0.100525
+0.100285
+0.100093
+0.0999477
+0.0998502
+0.0997918
+0.0997815
+0.0998193
+0.0999051
+0.100039
+0.100039
+0.0987757
+0.0975455
+0.0963494
+0.0951888
+0.0940648
+0.0929789
+0.0919323
+0.0909265
+0.0899593
+0.0890302
+0.0881458
+0.0873074
+0.0865163
+0.085774
+0.0850816
+0.0844403
+0.0838514
+0.083316
+0.0828339
+0.0811273
+0.0791717
+0.0772287
+0.0752994
+0.0733847
+0.0714858
+0.0696041
+0.067741
+0.065898
+0.0640769
+0.0622797
+0.0605083
+0.0587653
+0.0570531
+0.0553747
+0.0537331
+0.0521319
+0.050573
+0.0490482
+0.0475727
+0.046154
+0.0447976
+0.0435092
+0.0422951
+0.0411619
+0.0401164
+0.0391657
+0.0383167
+0.037427
+0.0362896
+0.0352364
+0.0342817
+0.0334434
+0.0327305
+0.0321513
+0.0317132
+0.0314221
+0.0312739
+0.0312572
+0.0313938
+0.0316816
+0.0321166
+0.0324794
+0.0324018
+0.0324722
+0.0326896
+0.033051
+0.0335519
+0.034162
+0.0348962
+0.0357497
+0.0367143
+0.0377814
+0.0389426
+0.0401898
+0.0415151
+0.0429114
+0.044372
+0.0458908
+0.047462
+0.0490808
+0.0507425
+0.0524431
+0.0541789
+0.0558501
+0.0573825
+0.0589566
+0.0605689
+0.0622167
+0.063897
+0.101844
+0.101607
+0.101417
+0.101274
+0.101178
+0.101121
+0.101111
+0.101148
+0.101233
+0.101365
+0.101544
+0.100575
+0.0993668
+0.0981929
+0.0970543
+0.0959522
+0.0948879
+0.0938626
+0.0928777
+0.0919268
+0.0910178
+0.0901528
+0.0893333
+0.0885604
+0.0878353
+0.0871592
+0.0865334
+0.0859588
+0.0854366
+0.0835459
+0.0815894
+0.0796452
+0.077714
+0.075797
+0.0738952
+0.0720098
+0.0701422
+0.0682937
+0.0664661
+0.064661
+0.0628804
+0.0611265
+0.0594016
+0.0577083
+0.0560495
+0.0544249
+0.052839
+0.0512976
+0.0497962
+0.0483435
+0.0469482
+0.0456154
+0.0443508
+0.0431604
+0.0420505
+0.0410276
+0.0400985
+0.0392697
+0.0384005
+0.0372924
+0.0362609
+0.0353328
+0.0345189
+0.0338276
+0.0332664
+0.032842
+0.0325599
+0.0324177
+0.0324017
+0.0325334
+0.0328112
+0.0332314
+0.0335169
+0.0334417
+0.0335099
+0.0337206
+0.0340712
+0.0345573
+0.0351657
+0.0358793
+0.03671
+0.03765
+0.0386913
+0.039826
+0.0410463
+0.0423449
+0.0437147
+0.0451493
+0.0466427
+0.0481895
+0.0497846
+0.0514236
+0.0531024
+0.0548173
+0.0564906
+0.0580062
+0.0595637
+0.0611601
+0.0627923
+0.0644576
+0.103193
+0.102959
+0.102771
+0.10263
+0.102535
+0.102479
+0.102469
+0.102506
+0.10259
+0.10272
+0.102896
+0.102389
+0.101203
+0.10005
+0.0989331
+0.0978522
+0.0968088
+0.0958041
+0.094836
+0.0939041
+0.0930144
+0.0921683
+0.0913668
+0.0906112
+0.0899027
+0.0892423
+0.0886311
+0.0879753
+0.086008
+0.0840518
+0.0821074
+0.0801757
+0.0782577
+0.0763543
+0.0744667
+0.0725962
+0.070744
+0.0689117
+0.0671009
+0.0653134
+0.0635511
+0.0618162
+0.0601111
+0.0584338
+0.0567908
+0.055186
+0.0536225
+0.0521044
+0.0506269
+0.0491987
+0.0478283
+0.0465207
+0.0452814
+0.0441161
+0.0430309
+0.0420319
+0.0411255
+0.0403178
+0.0394711
+0.0383727
+0.0373687
+0.0364688
+0.0356809
+0.0350125
+0.0344706
+0.0340612
+0.0337892
+0.0336517
+0.0336362
+0.0337632
+0.0340309
+0.0344363
+0.034662
+0.0345893
+0.0346553
+0.034859
+0.0351982
+0.035669
+0.0362662
+0.0369663
+0.037773
+0.0386872
+0.0397013
+0.0408079
+0.0419997
+0.0432697
+0.0446111
+0.0460178
+0.0474839
+0.0490041
+0.0505736
+0.0521878
+0.0538427
+0.0555348
+0.0572079
+0.058705
+0.0602445
+0.0618232
+0.0634384
+0.0650872
+0.10457
+0.104339
+0.104154
+0.104015
+0.103921
+0.103866
+0.103856
+0.103892
+0.103974
+0.104103
+0.104277
+0.104218
+0.103053
+0.101921
+0.100825
+0.0997641
+0.0987409
+0.0977561
+0.0968036
+0.0958908
+0.0950197
+0.0941915
+0.0934074
+0.0926685
+0.0919758
+0.0913304
+0.0904761
+0.0885102
+0.086555
+0.0846115
+0.0826802
+0.0807622
+0.0788585
+0.0769699
+0.0750978
+0.0732434
+0.071408
+0.0695932
+0.0678006
+0.066032
+0.0642887
+0.0625694
+0.0608804
+0.0592243
+0.0576039
+0.0560224
+0.054483
+0.0529894
+0.0515373
+0.0501351
+0.048791
+0.0475099
+0.0462971
+0.045158
+0.0440985
+0.0431242
+0.0422412
+0.0414553
+0.0406113
+0.0395428
+0.0385692
+0.037698
+0.0369363
+0.036291
+0.0357685
+0.0353742
+0.0351124
+0.0349795
+0.0349646
+0.0350867
+0.0353445
+0.0357349
+0.0359044
+0.0358342
+0.0358979
+0.0360946
+0.0364223
+0.0368774
+0.0374554
+0.0381481
+0.0389305
+0.0398181
+0.0408041
+0.0418816
+0.0430436
+0.0442837
+0.0455953
+0.0469725
+0.0484097
+0.0499017
+0.0514438
+0.0530315
+0.0546609
+0.0563285
+0.0579992
+0.0594763
+0.0609963
+0.0625561
+0.0641529
+0.0657838
+0.105974
+0.105746
+0.105564
+0.105426
+0.105334
+0.10528
+0.10527
+0.105306
+0.105387
+0.105514
+0.105686
+0.105903
+0.104915
+0.103804
+0.102728
+0.101687
+0.100684
+0.099715
+0.0987805
+0.0978861
+0.097033
+0.0962221
+0.0954547
+0.0947317
+0.0940542
+0.0930128
+0.091049
+0.0890957
+0.0871537
+0.0852237
+0.0833067
+0.0814035
+0.0795151
+0.0776425
+0.075787
+0.0739499
+0.0721325
+0.0703364
+0.0685613
+0.0668083
+0.0650819
+0.0633841
+0.0617174
+0.0600844
+0.0584878
+0.0569308
+0.0554167
+0.053949
+0.0525234
+0.0511482
+0.0498315
+0.0485778
+0.0473923
+0.0462802
+0.045247
+0.044298
+0.0434388
+0.042675
+0.0418335
+0.040797
+0.0398541
+0.0390116
+0.038276
+0.0376537
+0.0371504
+0.0367709
+0.0365191
+0.0363908
+0.0363765
+0.0364939
+0.0367418
+0.0371175
+0.0372335
+0.0371659
+0.0372273
+0.037417
+0.0377332
+0.0381727
+0.0387313
+0.039404
+0.0401741
+0.0410348
+0.0419922
+0.04304
+0.0441716
+0.0453808
+0.0466616
+0.0480083
+0.0494154
+0.0508779
+0.0523912
+0.0539511
+0.0555535
+0.057195
+0.0588614
+0.0603174
+0.0618167
+0.0633563
+0.0649334
+0.0665452
+0.107405
+0.10718
+0.107
+0.106864
+0.106774
+0.10672
+0.10671
+0.106745
+0.106825
+0.10695
+0.10712
+0.107334
+0.106791
+0.105699
+0.104643
+0.103621
+0.102636
+0.101682
+0.100766
+0.0998897
+0.0990538
+0.0982596
+0.0975082
+0.0968006
+0.0955826
+0.0936214
+0.0916706
+0.0897309
+0.0878029
+0.0858876
+0.0839857
+0.0820982
+0.0802261
+0.0783706
+0.0765327
+0.0747139
+0.0729127
+0.071132
+0.0693748
+0.0676429
+0.0659383
+0.0642632
+0.0626199
+0.061011
+0.0594394
+0.0579079
+0.05642
+0.0549791
+0.053581
+0.0522336
+0.0509449
+0.0497194
+0.0485618
+0.0474771
+0.0464704
+0.0455469
+0.0447118
+0.04397
+0.0431324
+0.0421279
+0.0412154
+0.0404013
+0.0396915
+0.0390918
+0.0386072
+0.0382421
+0.0380001
+0.0378763
+0.0378625
+0.0379753
+0.0382136
+0.038575
+0.0386391
+0.0385739
+0.038633
+0.0388159
+0.0391208
+0.0395449
+0.0400844
+0.0407347
+0.0414906
+0.04233
+0.0432588
+0.0442766
+0.0453774
+0.0465553
+0.0478046
+0.0491199
+0.0504961
+0.0519282
+0.0534117
+0.0549426
+0.056517
+0.0581313
+0.0597822
+0.0612253
+0.062703
+0.0642213
+0.0657776
+0.0673692
+0.108861
+0.108639
+0.108461
+0.108328
+0.108238
+0.108185
+0.108175
+0.10821
+0.108289
+0.108413
+0.10858
+0.108791
+0.108678
+0.107606
+0.106568
+0.105565
+0.104596
+0.103659
+0.10276
+0.101901
+0.101082
+0.100304
+0.0995676
+0.098183
+0.0962249
+0.094277
+0.0923401
+0.0904147
+0.0885016
+0.0866017
+0.0847159
+0.082845
+0.0809902
+0.0791524
+0.0773295
+0.0755259
+0.0737432
+0.0719831
+0.0702472
+0.0685374
+0.0668556
+0.065204
+0.0635851
+0.0620013
+0.0604553
+0.0589503
+0.0574894
+0.056076
+0.0547058
+0.0533869
+0.0521267
+0.0509296
+0.0498001
+0.048743
+0.047763
+0.046865
+0.0460538
+0.045334
+0.0445013
+0.0435284
+0.0426459
+0.0418596
+0.041175
+0.0405971
+0.0401307
+0.0397797
+0.039547
+0.0394276
+0.0394143
+0.0395227
+0.0397517
+0.0400993
+0.0401151
+0.0400523
+0.0401093
+0.0402855
+0.0405793
+0.0409883
+0.041509
+0.0421374
+0.0428686
+0.0436967
+0.044597
+0.045585
+0.0466549
+0.0478013
+0.0490189
+0.0503025
+0.0516471
+0.0530482
+0.0545013
+0.0560024
+0.0575477
+0.0591339
+0.0607576
+0.0621972
+0.0636523
+0.0651485
+0.0666832
+0.0682537
+0.110341
+0.110122
+0.109947
+0.109815
+0.109727
+0.109674
+0.109665
+0.109699
+0.109777
+0.109899
+0.110064
+0.110273
+0.110524
+0.109523
+0.108503
+0.107518
+0.106563
+0.105644
+0.104762
+0.103919
+0.103116
+0.102354
+0.100811
+0.0988569
+0.0969124
+0.0949786
+0.0930563
+0.091146
+0.0892486
+0.087365
+0.085496
+0.0836417
+0.0818012
+0.0799784
+0.0781745
+0.0763909
+0.0746289
+0.0728902
+0.0711764
+0.0694894
+0.0678313
+0.066204
+0.0646101
+0.0630521
+0.0615326
+0.0600545
+0.0586211
+0.0572357
+0.055894
+0.0546038
+0.0533723
+0.0522038
+0.0511025
+0.0500728
+0.0491194
+0.0482467
+0.047459
+0.0467609
+0.0459339
+0.044992
+0.0441388
+0.0433796
+0.0427193
+0.0421626
+0.0417137
+0.0413761
+0.0411525
+0.0410372
+0.0410245
+0.0411287
+0.0413488
+0.041683
+0.041654
+0.0415936
+0.0416484
+0.0418181
+0.0421013
+0.0424957
+0.0429981
+0.043605
+0.044312
+0.0451144
+0.0459989
+0.0469573
+0.0479967
+0.0491118
+0.0502977
+0.0515494
+0.0528623
+0.054232
+0.0556542
+0.057125
+0.0586408
+0.0601982
+0.0617939
+0.0632301
+0.0646619
+0.0661353
+0.0676476
+0.0691962
+0.111845
+0.111629
+0.111456
+0.111326
+0.111239
+0.111187
+0.111178
+0.111211
+0.111288
+0.111408
+0.111571
+0.111777
+0.112025
+0.11145
+0.110448
+0.109478
+0.108539
+0.107637
+0.106772
+0.105945
+0.105157
+0.103466
+0.101515
+0.0995744
+0.0976442
+0.0957252
+0.0938182
+0.0919238
+0.0900428
+0.0881743
+0.0863193
+0.0844804
+0.0826586
+0.0808552
+0.0790713
+0.0773083
+0.0755677
+0.0738511
+0.0721601
+0.0704967
+0.0688628
+0.0672605
+0.0656923
+0.0641605
+0.0626679
+0.0612172
+0.0598117
+0.0584545
+0.0571414
+0.05588
+0.0546773
+0.0535373
+0.052464
+0.0514616
+0.0505344
+0.0496865
+0.048922
+0.0482451
+0.0474244
+0.0465127
+0.045688
+0.0449549
+0.0443181
+0.0437818
+0.0433496
+0.0430248
+0.0428098
+0.0426986
+0.0426864
+0.0427865
+0.0429981
+0.0433196
+0.0432492
+0.043191
+0.0432438
+0.0434073
+0.0436802
+0.0440604
+0.0445452
+0.0451313
+0.0458147
+0.0465912
+0.0474482
+0.048378
+0.0493874
+0.0504718
+0.0516265
+0.0528468
+0.0541282
+0.0554666
+0.0568579
+0.0582984
+0.0597845
+0.0613128
+0.0628803
+0.064321
+0.0657291
+0.0671791
+0.0686684
+0.0701945
+0.113371
+0.113158
+0.112987
+0.112859
+0.112773
+0.112722
+0.112713
+0.112746
+0.112822
+0.11294
+0.113101
+0.113304
+0.113549
+0.113386
+0.112402
+0.111445
+0.110523
+0.109637
+0.108788
+0.107977
+0.106144
+0.104198
+0.102261
+0.100335
+0.0984194
+0.0965158
+0.0946247
+0.0927441
+0.0908768
+0.0890242
+0.0871873
+0.0853671
+0.0835646
+0.0817812
+0.0800179
+0.0782763
+0.0765577
+0.0748638
+0.0731962
+0.0715569
+0.0699478
+0.0683709
+0.0668287
+0.0653236
+0.0638582
+0.0624352
+0.0610577
+0.0597288
+0.0584444
+0.0572117
+0.0560376
+0.0549258
+0.0538802
+0.0529046
+0.0520031
+0.0511796
+0.0504378
+0.0497814
+0.0489677
+0.0480852
+0.0472879
+0.04658
+0.0459657
+0.0454489
+0.0450327
+0.0447202
+0.0445133
+0.0444059
+0.0443942
+0.0444904
+0.044694
+0.0450034
+0.0448947
+0.0448386
+0.0448895
+0.045047
+0.04531
+0.0456766
+0.0461445
+0.0467105
+0.0473711
+0.0481225
+0.0489527
+0.0498544
+0.0508346
+0.0518887
+0.0530125
+0.0542016
+0.0554518
+0.056759
+0.0581194
+0.0595293
+0.0609854
+0.0624843
+0.0640232
+0.0654571
+0.0668491
+0.0682772
+0.0697431
+0.0712461
+0.114918
+0.114708
+0.11454
+0.114413
+0.114328
+0.114278
+0.114269
+0.114302
+0.114377
+0.114494
+0.114652
+0.114852
+0.115094
+0.115332
+0.114362
+0.113421
+0.112515
+0.111645
+0.110797
+0.108845
+0.106903
+0.10497
+0.103048
+0.101137
+0.0992365
+0.0973459
+0.095468
+0.0936038
+0.091754
+0.0899195
+0.0881012
+0.0863003
+0.0845178
+0.0827548
+0.0810128
+0.079293
+0.0775969
+0.0759262
+0.0742825
+0.0726677
+0.0710837
+0.0695326
+0.0680168
+0.0665385
+0.0651004
+0.0637052
+0.0623558
+0.0610552
+0.0597992
+0.0585951
+0.0574492
+0.0563653
+0.0553469
+0.0543976
+0.0535213
+0.0527214
+0.0520017
+0.0513653
+0.0505587
+0.0497046
+0.0489336
+0.0482499
+0.0476571
+0.0471588
+0.0467579
+0.0464569
+0.0462579
+0.0461541
+0.0461428
+0.0462354
+0.0464313
+0.0467292
+0.046585
+0.046531
+0.04658
+0.0467318
+0.0469854
+0.0473391
+0.0477906
+0.0483374
+0.0489761
+0.0497032
+0.0505075
+0.0513819
+0.0523334
+0.053358
+0.0544515
+0.0556098
+0.056829
+0.0581052
+0.0594348
+0.0608142
+0.0622403
+0.0637097
+0.0652196
+0.0666459
+0.0680136
+0.0694234
+0.0708692
+0.0723488
+0.102435
+0.101124
+0.0998432
+0.0985931
+0.0973763
+0.0961515
+0.0948577
+0.0935969
+0.0923641
+0.0911672
+0.0900078
+0.0888317
+0.0876843
+0.0865772
+0.085512
+0.0844735
+0.0834417
+0.0824365
+0.0814044
+0.0803959
+0.079435
+0.0785234
+0.077663
+0.0768554
+0.0760507
+0.0752333
+0.0744368
+0.0736296
+0.0728649
+0.0721586
+0.0712928
+0.0702718
+0.0692916
+0.068354
+0.0674745
+0.0666456
+0.0658541
+0.0651266
+0.0644636
+0.0638633
+0.0633331
+0.0628705
+0.0624707
+0.0621457
+0.0618966
+0.0617242
+0.0616293
+0.0616115
+0.0616573
+0.0617807
+0.0613994
+0.0603402
+0.059343
+0.0584111
+0.0575474
+0.0567552
+0.0560375
+0.0553972
+0.054837
+0.0543593
+0.053835
+0.0532499
+0.0527493
+0.0523357
+0.0520111
+0.0517773
+0.0516354
+0.0515863
+0.0516301
+0.0517667
+0.0519201
+0.0516809
+0.0515203
+0.0514313
+0.0513854
+0.0514328
+0.051539
+0.0517003
+0.0519428
+0.0522531
+0.052598
+0.0527744
+0.052736
+0.0527887
+0.0529242
+0.05314
+0.0534448
+0.0538372
+0.0543151
+0.0548763
+0.0555184
+0.0562385
+0.0570338
+0.057901
+0.0588371
+0.0598388
+0.0609028
+0.062026
+0.0632052
+0.0644372
+0.101118
+0.0997898
+0.0984919
+0.0972258
+0.0959916
+0.094792
+0.0935466
+0.0922684
+0.091024
+0.0898093
+0.088632
+0.0874792
+0.0863192
+0.0851944
+0.0841116
+0.0830725
+0.0820468
+0.0810356
+0.0800221
+0.0789999
+0.0780218
+0.0770935
+0.0762169
+0.0753938
+0.0746064
+0.0737968
+0.0730038
+0.072212
+0.0714321
+0.0707115
+0.0699737
+0.0689331
+0.067935
+0.0669909
+0.0660932
+0.0652468
+0.0644381
+0.0636944
+0.0630164
+0.0624021
+0.0618594
+0.0613857
+0.0609762
+0.0606432
+0.0603878
+0.0602112
+0.0601139
+0.0600956
+0.0601426
+0.05997
+0.0595853
+0.0584995
+0.0574704
+0.0565076
+0.0556144
+0.0547942
+0.0540505
+0.0533864
+0.0528048
+0.0523086
+0.0518814
+0.051274
+0.0507539
+0.0503239
+0.0499862
+0.0497429
+0.0495952
+0.0495441
+0.0495897
+0.0497319
+0.0498144
+0.0495669
+0.0493994
+0.0493097
+0.0492618
+0.0493113
+0.049423
+0.0495912
+0.0498468
+0.0501616
+0.0505208
+0.0507338
+0.050694
+0.0507487
+0.0508954
+0.0511198
+0.0514366
+0.0518441
+0.0523402
+0.0529224
+0.0535879
+0.0543337
+0.0551564
+0.0560527
+0.0570191
+0.0580522
+0.0591484
+0.0603042
+0.0615164
+0.0627816
+0.0998324
+0.0984864
+0.0971711
+0.0958878
+0.0946374
+0.0934204
+0.0922394
+0.0909728
+0.0897113
+0.0884847
+0.0872896
+0.0861337
+0.0849847
+0.083846
+0.0827456
+0.081689
+0.0806782
+0.0796667
+0.0786499
+0.0776387
+0.0766451
+0.0757
+0.0748071
+0.0739683
+0.0731855
+0.0723952
+0.0715888
+0.0708339
+0.0700386
+0.0693035
+0.0686305
+0.0676389
+0.0666214
+0.0656598
+0.0647566
+0.0638923
+0.0630664
+0.0623064
+0.061613
+0.0609847
+0.0604292
+0.0599441
+0.0595248
+0.0591836
+0.0589219
+0.0587409
+0.0586411
+0.0586223
+0.0582976
+0.0578498
+0.0574695
+0.0566832
+0.0556211
+0.0546256
+0.0537011
+0.0528513
+0.0520798
+0.0513902
+0.0507858
+0.0502697
+0.0498446
+0.0493162
+0.0487752
+0.0483276
+0.047976
+0.0477224
+0.0475684
+0.0475151
+0.0475627
+0.0477109
+0.0477164
+0.0474598
+0.0472849
+0.0471945
+0.0471444
+0.0471962
+0.0473139
+0.0474895
+0.0477592
+0.0480789
+0.0484535
+0.0487063
+0.0486648
+0.0487218
+0.048877
+0.0491142
+0.0494439
+0.0498677
+0.0503832
+0.0509878
+0.0516782
+0.0524511
+0.0533029
+0.0542299
+0.0552282
+0.0562941
+0.0574239
+0.0586137
+0.0598602
+0.0611597
+0.0985782
+0.0972148
+0.0958821
+0.0945813
+0.0933139
+0.0920805
+0.0908821
+0.0897119
+0.0884325
+0.0871894
+0.085982
+0.0848083
+0.0836754
+0.0825312
+0.0814155
+0.0803415
+0.0793135
+0.0783271
+0.0773046
+0.0763118
+0.075307
+0.0743449
+0.0734356
+0.0725809
+0.071783
+0.0710095
+0.0702136
+0.0694487
+0.0686867
+0.067937
+0.0672503
+0.0663917
+0.0653548
+0.0643743
+0.0634543
+0.0625705
+0.0617341
+0.0609649
+0.0602567
+0.059614
+0.0590457
+0.0585491
+0.0581197
+0.0577702
+0.0575021
+0.0573166
+0.0572143
+0.0567182
+0.0561927
+0.0557351
+0.0553402
+0.0548855
+0.0537974
+0.0527675
+0.0518099
+0.0509285
+0.0501275
+0.0494106
+0.0487817
+0.0482441
+0.047801
+0.0473785
+0.0468151
+0.0463486
+0.0459818
+0.0457171
+0.0455564
+0.0455007
+0.0455504
+0.0457052
+0.0456271
+0.0453602
+0.0451776
+0.0450864
+0.0450341
+0.0450882
+0.0452124
+0.0453962
+0.0456813
+0.0460063
+0.0463976
+0.0466936
+0.0466502
+0.0467097
+0.0468716
+0.0471251
+0.0474686
+0.0479099
+0.0484463
+0.0490747
+0.0497917
+0.0505934
+0.0514759
+0.0524352
+0.053467
+0.0545674
+0.0557321
+0.0569573
+0.0582392
+0.0595741
+0.0973572
+0.0959764
+0.0946263
+0.093308
+0.092023
+0.0907727
+0.0895578
+0.0883795
+0.08719
+0.0859289
+0.0847057
+0.0835193
+0.0823688
+0.0812469
+0.0801223
+0.0790318
+0.0779865
+0.0769894
+0.0759986
+0.0749923
+0.0740034
+0.0730304
+0.0721045
+0.0712339
+0.0704207
+0.0696651
+0.0688806
+0.0681008
+0.0673728
+0.0666067
+0.0659046
+0.0651943
+0.0641381
+0.0631387
+0.0622004
+0.0612986
+0.0604445
+0.0596587
+0.0589439
+0.0582935
+0.0577121
+0.0571982
+0.0567586
+0.0564006
+0.056126
+0.0559359
+0.0552675
+0.0546403
+0.0540945
+0.0536265
+0.053216
+0.0528931
+0.0519983
+0.0509358
+0.0499431
+0.0490282
+0.0481956
+0.0474495
+0.0467943
+0.0462336
+0.045771
+0.0454017
+0.044874
+0.0443871
+0.0440039
+0.0437273
+0.0435592
+0.043501
+0.043553
+0.0437148
+0.0435478
+0.0432687
+0.0430787
+0.0429845
+0.0429317
+0.0429885
+0.0431199
+0.0433126
+0.0436144
+0.0439451
+0.0443546
+0.0446976
+0.0446523
+0.0447144
+0.0448835
+0.0451547
+0.045513
+0.0459731
+0.0465318
+0.0471857
+0.047931
+0.0487633
+0.0496783
+0.0506716
+0.0517387
+0.052875
+0.0540762
+0.0553381
+0.0566567
+0.0580279
+0.0961479
+0.0947725
+0.0934049
+0.0920692
+0.0907666
+0.0894988
+0.0882671
+0.0870723
+0.0859157
+0.0847063
+0.0834652
+0.0822637
+0.0811002
+0.0799748
+0.0788596
+0.0777617
+0.0766991
+0.075685
+0.0747214
+0.0737105
+0.0727385
+0.0717546
+0.0708162
+0.0699296
+0.069101
+0.0683327
+0.0675765
+0.0667937
+0.0660619
+0.0653157
+0.0645995
+0.0639504
+0.0629741
+0.0619559
+0.0609994
+0.0600796
+0.0592079
+0.0584055
+0.0576752
+0.0570104
+0.056416
+0.0558967
+0.0554467
+0.0550803
+0.0547528
+0.0539559
+0.0532231
+0.0525715
+0.052004
+0.0515236
+0.0510974
+0.050761
+0.0501929
+0.0491336
+0.0481036
+0.0471531
+0.0462867
+0.0455094
+0.0448258
+0.0442402
+0.0437566
+0.0433738
+0.0429569
+0.042448
+0.0420472
+0.0417576
+0.0415815
+0.0415205
+0.041575
+0.0417445
+0.0414799
+0.0411869
+0.0409894
+0.0408885
+0.0408387
+0.0408984
+0.0410377
+0.04124
+0.041557
+0.041897
+0.0423168
+0.0427206
+0.0426732
+0.0427383
+0.0429151
+0.0432025
+0.0435798
+0.0440601
+0.0446428
+0.045324
+0.0460993
+0.0469641
+0.0479135
+0.0489426
+0.0500466
+0.0512204
+0.0524595
+0.0537594
+0.0551157
+0.0565244
+0.0949478
+0.0935835
+0.0922195
+0.0908663
+0.0895463
+0.0882609
+0.0870117
+0.0858002
+0.0846271
+0.0834942
+0.0822643
+0.081045
+0.0798672
+0.0787287
+0.0776307
+0.0765169
+0.0754491
+0.0744223
+0.0734422
+0.0724722
+0.0714834
+0.0705212
+0.0695711
+0.0686704
+0.0678264
+0.0670435
+0.0663073
+0.0655315
+0.0647855
+0.0640736
+0.0633434
+0.0626812
+0.0618658
+0.060829
+0.0598546
+0.0589168
+0.0580277
+0.0572088
+0.0564629
+0.0557838
+0.0551762
+0.0546496
+0.0541917
+0.05367
+0.0527692
+0.0519452
+0.0511908
+0.0505129
+0.0499221
+0.0494214
+0.048985
+0.0486341
+0.0483799
+0.0473356
+0.0462948
+0.0453063
+0.0444039
+0.043593
+0.0428789
+0.0422663
+0.0417598
+0.0413623
+0.0410566
+0.0405345
+0.0401146
+0.0398109
+0.0396263
+0.0395622
+0.0396194
+0.0397597
+0.0394253
+0.0391169
+0.0389112
+0.0388029
+0.0387564
+0.0388193
+0.0389673
+0.0391803
+0.0395139
+0.0398603
+0.0402883
+0.0407655
+0.0407159
+0.040784
+0.0409693
+0.0412703
+0.0416721
+0.0421741
+0.0427825
+0.0434928
+0.0443002
+0.0451994
+0.0461852
+0.0472519
+0.0483944
+0.0496074
+0.0508858
+0.0522249
+0.05362
+0.055067
+0.0937835
+0.0924021
+0.0910524
+0.0897008
+0.0883634
+0.0870605
+0.0857938
+0.0845649
+0.0833755
+0.082226
+0.0811049
+0.0798678
+0.0786724
+0.0775204
+0.0764092
+0.0753143
+0.0742292
+0.0731935
+0.0722067
+0.0712634
+0.0702741
+0.0693232
+0.0683685
+0.0674549
+0.0665956
+0.065798
+0.0650645
+0.0643193
+0.0635591
+0.062866
+0.0621391
+0.061464
+0.0608162
+0.0597613
+0.0587691
+0.0578137
+0.0569074
+0.0560721
+0.0553109
+0.0546176
+0.0539968
+0.0534586
+0.0527472
+0.0517376
+0.0508026
+0.0499462
+0.0491721
+0.048466
+0.0478499
+0.0473273
+0.0468799
+0.0465131
+0.0462472
+0.0455198
+0.0445106
+0.0434914
+0.0425506
+0.0417037
+0.0409566
+0.0403148
+0.0397835
+0.0393671
+0.039049
+0.0386505
+0.0382099
+0.037891
+0.0376969
+0.0376295
+0.0376896
+0.0377144
+0.0373652
+0.0370564
+0.036846
+0.0367294
+0.036686
+0.0367525
+0.0369094
+0.0371356
+0.0374874
+0.037827
+0.0382778
+0.0387972
+0.0387835
+0.038855
+0.0390495
+0.0393651
+0.0397936
+0.040319
+0.0409549
+0.0416964
+0.0425379
+0.0434736
+0.0444975
+0.0456038
+0.0467866
+0.0480402
+0.0493592
+0.0507386
+0.0521735
+0.0536595
+0.0926564
+0.091258
+0.0898911
+0.0885574
+0.0872195
+0.0858992
+0.0846152
+0.0833689
+0.0821621
+0.0809966
+0.0798729
+0.078734
+0.0775211
+0.0763518
+0.0752281
+0.0741466
+0.0730545
+0.072002
+0.0710015
+0.0700539
+0.0691132
+0.0681461
+0.0672157
+0.0662863
+0.0654116
+0.0645994
+0.0638521
+0.0631512
+0.0623854
+0.0616792
+0.0609897
+0.0603017
+0.0596863
+0.0587558
+0.0577463
+0.0567738
+0.0558506
+0.0549992
+0.054223
+0.0535156
+0.0528819
+0.0519928
+0.0508742
+0.0498267
+0.0488551
+0.0479639
+0.0471578
+0.0464322
+0.0457887
+0.0452423
+0.044783
+0.0443989
+0.0441203
+0.0437323
+0.0426871
+0.0417126
+0.0407307
+0.0398452
+0.0390626
+0.0383892
+0.0378308
+0.0373926
+0.037062
+0.0368004
+0.0363374
+0.0360019
+0.0357976
+0.0357267
+0.03579
+0.0356864
+0.0353171
+0.0350072
+0.0347954
+0.0346704
+0.0346246
+0.034695
+0.034862
+0.0351084
+0.0354608
+0.0358122
+0.0362881
+0.0368318
+0.03688
+0.0369552
+0.0371596
+0.0374912
+0.0379465
+0.0384991
+0.0391646
+0.0399393
+0.0408171
+0.0417913
+0.0428555
+0.0440031
+0.0452277
+0.0465233
+0.0478842
+0.0493048
+0.0507802
+0.0523057
+0.0915504
+0.0901526
+0.0887687
+0.0874178
+0.0861015
+0.0847787
+0.0834774
+0.0822138
+0.0809899
+0.0798073
+0.0786679
+0.0775722
+0.0764153
+0.0752288
+0.074088
+0.0729952
+0.0719274
+0.0708582
+0.0698413
+0.068878
+0.0679607
+0.0670199
+0.0660947
+0.065169
+0.0642805
+0.0634538
+0.0626929
+0.062
+0.0612677
+0.0605484
+0.0598895
+0.0591978
+0.0585707
+0.0578041
+0.0567897
+0.0558005
+0.0548609
+0.0539939
+0.0532031
+0.052482
+0.0514144
+0.0501873
+0.0490275
+0.0479397
+0.0469291
+0.0460006
+0.0451594
+0.0444104
+0.0437392
+0.0431669
+0.0426956
+0.0422924
+0.0419999
+0.0418201
+0.0408996
+0.0398938
+0.0389491
+0.0380221
+0.0372011
+0.0364934
+0.0359056
+0.0354436
+0.0350993
+0.0348761
+0.0345024
+0.0341489
+0.0339334
+0.0338586
+0.0339254
+0.0336788
+0.0332872
+0.0329762
+0.0327536
+0.0326285
+0.0325798
+0.0326546
+0.0328322
+0.0330939
+0.0334499
+0.0338194
+0.0343229
+0.0348862
+0.0350101
+0.0350893
+0.0353045
+0.0356533
+0.0361318
+0.0367197
+0.0374169
+0.0382271
+0.0391432
+0.0401581
+0.0412644
+0.042455
+0.0437231
+0.045062
+0.0464656
+0.0479283
+0.0494436
+0.0509949
+0.0903579
+0.0890873
+0.0876866
+0.0863188
+0.0849855
+0.0836883
+0.0823821
+0.0811016
+0.0798605
+0.078661
+0.0775047
+0.0763939
+0.0753286
+0.0741511
+0.0729936
+0.0718841
+0.0708044
+0.0697644
+0.0687314
+0.0677525
+0.0668197
+0.0659398
+0.0650069
+0.0640942
+0.0632037
+0.0623642
+0.0615898
+0.0608843
+0.0602014
+0.0594768
+0.0588172
+0.0581524
+0.057517
+0.0569165
+0.0558905
+0.0548974
+0.0539421
+0.0530601
+0.0522551
+0.0510137
+0.0496846
+0.0484137
+0.0472102
+0.0460796
+0.0450272
+0.0440587
+0.0431797
+0.0423958
+0.0416999
+0.0410992
+0.040608
+0.040195
+0.039887
+0.0396678
+0.0391423
+0.0381012
+0.0371488
+0.0362397
+0.0353775
+0.0346325
+0.0340125
+0.0335245
+0.0331652
+0.0329289
+0.0327112
+0.0323382
+0.0321105
+0.0320315
+0.032102
+0.0316954
+0.031279
+0.030967
+0.0307299
+0.0306072
+0.0305553
+0.0306351
+0.0308243
+0.0311013
+0.0314623
+0.0318525
+0.0323828
+0.0329715
+0.0331795
+0.033263
+0.03349
+0.0338575
+0.034361
+0.0349871
+0.0357181
+0.0365659
+0.0375227
+0.0385802
+0.0397305
+0.0409657
+0.0422784
+0.0436616
+0.0451089
+0.0466105
+0.0481533
+0.0497446
+0.0892033
+0.0879266
+0.0866465
+0.085262
+0.0839119
+0.0825978
+0.0813215
+0.0800338
+0.0787759
+0.0775596
+0.0763867
+0.0752593
+0.0741795
+0.0731215
+0.0719474
+0.0708215
+0.0697254
+0.0686759
+0.0676741
+0.06668
+0.065732
+0.0648443
+0.0639629
+0.0630682
+0.0621722
+0.061332
+0.0605458
+0.0598281
+0.0591828
+0.058464
+0.0577966
+0.0571636
+0.0565286
+0.0559574
+0.0550592
+0.054068
+0.0530978
+0.0522016
+0.0507766
+0.0493549
+0.047991
+0.0466754
+0.045426
+0.0442498
+0.0431528
+0.0421412
+0.0412213
+0.0403994
+0.0396767
+0.0390449
+0.0385275
+0.0381081
+0.0377831
+0.0375106
+0.0371887
+0.0363501
+0.0353529
+0.0344638
+0.0335976
+0.0328123
+0.0321572
+0.0316406
+0.0312649
+0.0310142
+0.030917
+0.0305772
+0.0303363
+0.0302526
+0.0302273
+0.0297382
+0.029297
+0.0289841
+0.0287251
+0.0286049
+0.0285553
+0.0286407
+0.0288431
+0.0291372
+0.029501
+0.0299168
+0.0304704
+0.0310731
+0.031395
+0.0314833
+0.031723
+0.0321107
+0.0326412
+0.0333075
+0.0340755
+0.0349632
+0.0359626
+0.0370646
+0.0382605
+0.0395417
+0.0409001
+0.0423284
+0.0438131
+0.0453451
+0.0469295
+0.0485609
+0.0880472
+0.0867949
+0.0855382
+0.0842488
+0.0828822
+0.0815515
+0.0802586
+0.0790053
+0.0777379
+0.0765051
+0.0753158
+0.0741721
+0.0730763
+0.0720304
+0.0709534
+0.0698116
+0.0686993
+0.0676339
+0.0666236
+0.065663
+0.0647002
+0.0637801
+0.0628382
+0.0619573
+0.0611422
+0.060348
+0.0595627
+0.0588345
+0.0581782
+0.0575114
+0.0568419
+0.0562371
+0.0556006
+0.0550282
+0.0543036
+0.0533159
+0.0522962
+0.050728
+0.0492075
+0.0477391
+0.0463277
+0.0449767
+0.0436787
+0.0424541
+0.0413095
+0.0402516
+0.0392875
+0.0384242
+0.0376687
+0.0370063
+0.03646
+0.0360335
+0.0356896
+0.0353575
+0.0350158
+0.0346369
+0.0336037
+0.0326671
+0.0318482
+0.03104
+0.0303467
+0.0297987
+0.0294037
+0.0291383
+0.0290349
+0.0288751
+0.0286199
+0.0285312
+0.028264
+0.0278117
+0.0273418
+0.0270118
+0.0267396
+0.0266145
+0.0265831
+0.0266747
+0.0268882
+0.0272043
+0.0275742
+0.0280187
+0.0285956
+0.0292097
+0.029665
+0.0297584
+0.0300119
+0.0304215
+0.0309808
+0.0316822
+0.0324976
+0.0334272
+0.0344712
+0.0356194
+0.0368622
+0.0381903
+0.0395951
+0.0410588
+0.0425773
+0.0441522
+0.0457778
+0.0474489
+0.0868975
+0.085639
+0.0844093
+0.0831728
+0.0818982
+0.0805513
+0.079242
+0.0779724
+0.0767403
+0.0754995
+0.0742941
+0.0731344
+0.0720228
+0.0709614
+0.0699524
+0.0688115
+0.0675219
+0.0662796
+0.0650873
+0.0639479
+0.0628642
+0.0618391
+0.0608725
+0.0599627
+0.0591201
+0.0583476
+0.0576481
+0.0570242
+0.0564784
+0.056013
+0.0556244
+0.0553089
+0.0547412
+0.0541578
+0.053627
+0.0524707
+0.0508539
+0.0492549
+0.0476874
+0.0461706
+0.0447098
+0.0433105
+0.0419731
+0.0406972
+0.0395016
+0.038394
+0.037382
+0.0364737
+0.0356769
+0.034986
+0.0344076
+0.033961
+0.0336085
+0.0332093
+0.0328453
+0.032617
+0.0319017
+0.0309213
+0.0300609
+0.0293087
+0.0285784
+0.0279958
+0.0275754
+0.0273094
+0.027199
+0.0272428
+0.0269723
+0.0267953
+0.0263227
+0.025926
+0.0254143
+0.025075
+0.0247816
+0.0246581
+0.0246453
+0.0247441
+0.0249622
+0.025296
+0.0256839
+0.0261605
+0.0267688
+0.0273948
+0.0279996
+0.0280986
+0.0283669
+0.0287998
+0.0293901
+0.0301285
+0.0309943
+0.0319676
+0.0330577
+0.0342534
+0.035544
+0.0369195
+0.0383571
+0.039858
+0.0414205
+0.0430378
+0.044704
+0.0464137
+0.085779
+0.0845074
+0.083273
+0.0820699
+0.0808536
+0.0795988
+0.0782736
+0.076988
+0.0757399
+0.0745342
+0.0733236
+0.0721483
+0.0710213
+0.0698609
+0.068455
+0.0670879
+0.0657645
+0.0644884
+0.0632624
+0.0620895
+0.0609728
+0.0599153
+0.0589204
+0.0579822
+0.0571104
+0.0563103
+0.0555851
+0.0549378
+0.0543711
+0.0538876
+0.0534866
+0.0531583
+0.0529188
+0.0527692
+0.0527103
+0.0510875
+0.0494255
+0.0478061
+0.0462211
+0.0446546
+0.0431424
+0.0416906
+0.0403056
+0.0389842
+0.0377344
+0.0365733
+0.0355094
+0.0345519
+0.0337098
+0.0329875
+0.0323734
+0.0318983
+0.0315422
+0.0310646
+0.0306777
+0.0304359
+0.0302539
+0.0292355
+0.0283239
+0.0275463
+0.0268651
+0.0262445
+0.0257955
+0.0255274
+0.0254194
+0.0254897
+0.0253996
+0.0249114
+0.0244166
+0.0240569
+0.0235329
+0.0231732
+0.0228658
+0.0227396
+0.0227495
+0.0228605
+0.0230833
+0.0234372
+0.0238407
+0.0243534
+0.0250005
+0.0256386
+0.0262765
+0.0265159
+0.0268001
+0.0272579
+0.0278809
+0.0286581
+0.0295769
+0.0305954
+0.0317327
+0.0329764
+0.034315
+0.0357197
+0.0371981
+0.038744
+0.0403496
+0.0420082
+0.0437136
+0.0454606
+0.084701
+0.0834129
+0.0821621
+0.0809511
+0.0797788
+0.0785882
+0.0773551
+0.0760539
+0.0747903
+0.073569
+0.0723934
+0.071216
+0.0697103
+0.068231
+0.0667907
+0.0653922
+0.0640339
+0.0627226
+0.0614613
+0.0602534
+0.059102
+0.0580105
+0.0569823
+0.0560173
+0.0551144
+0.054285
+0.0535324
+0.0528599
+0.0522707
+0.0517676
+0.0513527
+0.0510112
+0.0507616
+0.0506056
+0.0505441
+0.0497624
+0.0480545
+0.0463873
+0.0447651
+0.0431932
+0.0416314
+0.0401249
+0.0386839
+0.0373159
+0.0360138
+0.0347952
+0.0336753
+0.0326641
+0.0317719
+0.0310091
+0.030361
+0.0298539
+0.0294407
+0.0289229
+0.0285136
+0.0282563
+0.0281376
+0.0276042
+0.0266538
+0.0258187
+0.0251158
+0.0245175
+0.0239591
+0.0235916
+0.023424
+0.0233883
+0.0234984
+0.0230816
+0.0225535
+0.0221694
+0.0217097
+0.0213192
+0.0210038
+0.0208664
+0.0208911
+0.02103
+0.0212605
+0.0216282
+0.0220612
+0.0226143
+0.0233042
+0.0239542
+0.0246062
+0.0250251
+0.025326
+0.02581
+0.026467
+0.0272846
+0.0282401
+0.0293068
+0.0304922
+0.0317845
+0.0331622
+0.0346111
+0.0361349
+0.0377244
+0.0393716
+0.0410697
+0.0428125
+0.0445948
+0.0836009
+0.0823618
+0.0810951
+0.079868
+0.0786828
+0.0775414
+0.0763813
+0.0751722
+0.07375
+0.0723317
+0.0709527
+0.0696154
+0.0681472
+0.0666332
+0.0651576
+0.0637232
+0.0623322
+0.0609843
+0.0596864
+0.0584418
+0.0572539
+0.0561265
+0.0550632
+0.0540678
+0.0531339
+0.052273
+0.051491
+0.0507915
+0.050178
+0.0496537
+0.0492213
+0.048868
+0.0486073
+0.0484444
+0.0483802
+0.0484152
+0.046746
+0.0450304
+0.0433575
+0.0417326
+0.0401615
+0.0386201
+0.0371207
+0.0356929
+0.0343453
+0.0330668
+0.0318862
+0.0308163
+0.029869
+0.0290563
+0.0283751
+0.0278318
+0.0273407
+0.0267889
+0.0263539
+0.0260776
+0.02595
+0.025842
+0.0247714
+0.0238514
+0.0231032
+0.0224851
+0.0218909
+0.0214881
+0.021304
+0.0212683
+0.0214154
+0.021311
+0.0207333
+0.0203384
+0.0199555
+0.019509
+0.0192025
+0.0190609
+0.0191021
+0.0192501
+0.0194921
+0.019892
+0.020362
+0.0209599
+0.0216845
+0.0223576
+0.0230234
+0.0236435
+0.0239618
+0.0244728
+0.0251647
+0.0260209
+0.0270024
+0.0281162
+0.0293497
+0.0306901
+0.0321148
+0.0336089
+0.0351761
+0.036807
+0.0384936
+0.0402287
+0.0420064
+0.0438216
+0.0825432
+0.0813043
+0.0800717
+0.0788309
+0.0776298
+0.0764727
+0.0751457
+0.0736257
+0.0721398
+0.0706892
+0.0692776
+0.0679072
+0.0665808
+0.0650699
+0.0635581
+0.0620867
+0.0606589
+0.0592761
+0.0579399
+0.0566569
+0.0554308
+0.0542656
+0.053165
+0.0521334
+0.0511704
+0.050276
+0.0494624
+0.0487338
+0.0480941
+0.0475467
+0.047095
+0.0467292
+0.0464565
+0.046286
+0.0462188
+0.0462554
+0.0455054
+0.0437411
+0.042017
+0.0403381
+0.0387104
+0.0371407
+0.0356237
+0.0341333
+0.0327218
+0.0313944
+0.0301501
+0.0290163
+0.0280082
+0.0271398
+0.0264215
+0.0258371
+0.0252473
+0.0246588
+0.0241998
+0.0238994
+0.0237628
+0.0238239
+0.0229238
+0.0219265
+0.0211102
+0.0204743
+0.0198491
+0.0194039
+0.0191998
+0.0191642
+0.0193563
+0.0196034
+0.0189914
+0.0185697
+0.0182724
+0.0177836
+0.0174734
+0.0173445
+0.0174009
+0.0175633
+0.0178173
+0.0182518
+0.0187649
+0.0194121
+0.0201315
+0.0208539
+0.0215473
+0.0223268
+0.0227271
+0.0232653
+0.0239921
+0.0248661
+0.0258913
+0.0270509
+0.0283308
+0.0297172
+0.0311863
+0.0327229
+0.0343306
+0.0359998
+0.0377224
+0.0394915
+0.0413009
+0.0431458
+0.0815307
+0.0802762
+0.0790625
+0.0778371
+0.076625
+0.0752135
+0.0736297
+0.0720777
+0.0705596
+0.0690772
+0.0676319
+0.0662275
+0.0648667
+0.0635437
+0.0619947
+0.0604853
+0.0590187
+0.0575981
+0.0562245
+0.0549015
+0.0536353
+0.0524301
+0.0512902
+0.05022
+0.0492242
+0.0482957
+0.0474482
+0.0466882
+0.04602
+0.0454477
+0.0449749
+0.0445954
+0.0443096
+0.0441308
+0.0440603
+0.0440987
+0.044245
+0.0425257
+0.0407502
+0.0390169
+0.0373316
+0.0357013
+0.0341338
+0.0326381
+0.0311675
+0.0297709
+0.0284648
+0.0272724
+0.0261984
+0.0252679
+0.0244985
+0.0238769
+0.0231708
+0.0225402
+0.0220528
+0.0217229
+0.0215764
+0.0216437
+0.0211356
+0.0200562
+0.0191603
+0.018482
+0.0178425
+0.0173459
+0.0171174
+0.0170819
+0.0172979
+0.0176093
+0.017329
+0.0168601
+0.0166261
+0.0161714
+0.0158588
+0.0157299
+0.0158083
+0.0159929
+0.0162533
+0.0167199
+0.0172983
+0.0179527
+0.0186996
+0.0194525
+0.0201959
+0.0210064
+0.0216198
+0.0221848
+0.0229459
+0.0238568
+0.0249236
+0.0261261
+0.0274492
+0.028878
+0.0303877
+0.0319627
+0.0336068
+0.0353102
+0.0370649
+0.0388639
+0.0407013
+0.0425721
+0.080553
+0.0792952
+0.0780663
+0.0768801
+0.0754086
+0.073764
+0.0721484
+0.0705639
+0.0690125
+0.0674965
+0.0660179
+0.0645784
+0.0631821
+0.0618319
+0.0604703
+0.0589219
+0.0574153
+0.055954
+0.0545416
+0.0531783
+0.0518701
+0.0506229
+0.0494414
+0.0483303
+0.0472946
+0.0463344
+0.0454504
+0.0446564
+0.0439573
+0.0433578
+0.042862
+0.0424674
+0.0421671
+0.0419792
+0.0419051
+0.0419455
+0.0420998
+0.0413907
+0.0395642
+0.0377765
+0.0360333
+0.0343414
+0.0327088
+0.0311448
+0.0296601
+0.0282242
+0.0268429
+0.025575
+0.024438
+0.023451
+0.0226202
+0.0219602
+0.0211174
+0.0204359
+0.0199107
+0.0195494
+0.019391
+0.0194658
+0.0194276
+0.0182563
+0.0172684
+0.0165125
+0.0158802
+0.0153249
+0.0150657
+0.0150305
+0.0152664
+0.0156429
+0.0157545
+0.015252
+0.0150056
+0.0147096
+0.0143931
+0.0142607
+0.0143578
+0.0145768
+0.0148366
+0.0153486
+0.01595
+0.0166482
+0.0174262
+0.0182044
+0.0189803
+0.0198406
+0.0206843
+0.0212742
+0.0220667
+0.0230124
+0.0241166
+0.0253574
+0.0267186
+0.0281844
+0.0297294
+0.0313375
+0.0330127
+0.0347453
+0.0365271
+0.0383513
+0.0402122
+0.0421047
+0.0795891
+0.0783436
+0.0771194
+0.0757149
+0.0740206
+0.0723519
+0.070704
+0.0690863
+0.067501
+0.0659503
+0.0644368
+0.0629623
+0.0615294
+0.0601421
+0.0588038
+0.0573995
+0.0558519
+0.0543485
+0.0528932
+0.05149
+0.0501385
+0.0488471
+0.0476215
+0.0464669
+0.0453888
+0.0443926
+0.0434711
+0.0426403
+0.0419076
+0.0412783
+0.0407572
+0.0403461
+0.0400299
+0.0398319
+0.0397539
+0.0397964
+0.0399592
+0.0402227
+0.0384666
+0.0366253
+0.0348245
+0.0330709
+0.0313722
+0.0297379
+0.0281793
+0.0267089
+0.0253069
+0.0239578
+0.0227401
+0.0216759
+0.0207799
+0.0200281
+0.0190931
+0.0183444
+0.017775
+0.0173803
+0.0172068
+0.0172905
+0.0175773
+0.0165411
+0.0154495
+0.0145997
+0.0139689
+0.0133574
+0.0130592
+0.0130245
+0.0132857
+0.013738
+0.0142398
+0.0137714
+0.013498
+0.0134052
+0.0131002
+0.0129715
+0.0130809
+0.013318
+0.0136058
+0.0141547
+0.0147939
+0.0155441
+0.0163237
+0.0171463
+0.0179462
+0.0188283
+0.0198084
+0.0205576
+0.0213767
+0.0223516
+0.0234868
+0.0247593
+0.0261516
+0.0276475
+0.0292209
+0.0308555
+0.0325555
+0.0343112
+0.0361145
+0.0379585
+0.0398377
+0.0417472
+0.0786385
+0.0774142
+0.0761411
+0.0743919
+0.0726667
+0.0709671
+0.0692952
+0.0676474
+0.0660276
+0.0644414
+0.0628916
+0.0613809
+0.0599112
+0.0584856
+0.0571084
+0.0557833
+0.0543317
+0.0527851
+0.0512854
+0.049837
+0.048444
+0.0471062
+0.0458341
+0.0446333
+0.0435098
+0.0424696
+0.0415131
+0.0406422
+0.0398728
+0.0392109
+0.0386619
+0.0382308
+0.0378989
+0.0376897
+0.0376071
+0.0376521
+0.0378241
+0.0381046
+0.037397
+0.0355452
+0.0337123
+0.0318969
+0.0301315
+0.0284253
+0.0267897
+0.0252383
+0.0237821
+0.0224328
+0.021133
+0.0199834
+0.0190133
+0.0181318
+0.0170935
+0.0162724
+0.015653
+0.0152174
+0.0150246
+0.0151171
+0.0154387
+0.0149316
+0.0137332
+0.0127698
+0.0121032
+0.0114542
+0.0111193
+0.0110886
+0.0113821
+0.0119316
+0.0126209
+0.0124745
+0.012198
+0.0122234
+0.0119937
+0.0119294
+0.0120484
+0.0123053
+0.0126162
+0.0131985
+0.0138857
+0.0146515
+0.0154467
+0.0162819
+0.0170998
+0.0180234
+0.019045
+0.0200558
+0.0208946
+0.021891
+0.0230489
+0.0243443
+0.025759
+0.0272765
+0.0288701
+0.0305235
+0.032241
+0.0340129
+0.0358312
+0.0376891
+0.0395811
+0.0415024
+0.0776956
+0.0764921
+0.0748896
+0.0731105
+0.0713544
+0.0696228
+0.0679177
+0.0662413
+0.0645949
+0.0629727
+0.0613858
+0.059837
+0.0583295
+0.0568651
+0.0554477
+0.0540819
+0.0527718
+0.0512677
+0.0497223
+0.0482269
+0.0467863
+0.0454043
+0.0440831
+0.0428333
+0.0416612
+0.0405737
+0.0395776
+0.038665
+0.0378555
+0.0371577
+0.0365779
+0.0361219
+0.035775
+0.0355533
+0.0354658
+0.0355135
+0.0356958
+0.0359953
+0.0362641
+0.0344616
+0.0325919
+0.0307629
+0.0289841
+0.0272158
+0.0255027
+0.0238679
+0.0223285
+0.0208987
+0.0195958
+0.0183962
+0.0173284
+0.0163096
+0.0151468
+0.0142284
+0.0135394
+0.0130637
+0.0128453
+0.012947
+0.0133171
+0.0134614
+0.0121702
+0.0110716
+0.0102983
+0.00962015
+0.00924271
+0.00926683
+0.00960175
+0.0102758
+0.0110687
+0.0114279
+0.0111682
+0.0112038
+0.0112026
+0.0111526
+0.0113172
+0.0116066
+0.0118989
+0.0124892
+0.0132145
+0.0140197
+0.0147901
+0.0156538
+0.0165027
+0.0174534
+0.0185107
+0.019582
+0.0206153
+0.0216434
+0.0228138
+0.0241218
+0.0255489
+0.0270781
+0.0286817
+0.0303436
+0.0320686
+0.0338475
+0.0356722
+0.0375361
+0.0394334
+0.041357
+0.0768037
+0.0755113
+0.0736821
+0.0718731
+0.0700859
+0.0683222
+0.0665839
+0.064873
+0.0631917
+0.0615424
+0.0599222
+0.0583346
+0.0567872
+0.0552832
+0.053825
+0.052417
+0.0510641
+0.0497709
+0.0482079
+0.0466641
+0.0451737
+0.0437422
+0.0423731
+0.0410712
+0.0398474
+0.0387089
+0.0376635
+0.0367121
+0.0358585
+0.035121
+0.0345071
+0.0340233
+0.0336597
+0.0334239
+0.0333308
+0.0333816
+0.0335755
+0.0338962
+0.0341649
+0.033475
+0.0315529
+0.0296681
+0.0278194
+0.0260238
+0.0242931
+0.0226269
+0.0209968
+0.0194769
+0.0180863
+0.0168505
+0.0157529
+0.0145484
+0.0132764
+0.0122183
+0.0114527
+0.0109247
+0.0106707
+0.0107849
+0.0112212
+0.0117698
+0.0107607
+0.00957558
+0.00866983
+0.00796834
+0.00753425
+0.00756866
+0.00799893
+0.00875547
+0.00976432
+0.0105285
+0.0104348
+0.0105357
+0.0107497
+0.0107259
+0.0108972
+0.0111495
+0.0115314
+0.0121214
+0.0128847
+0.0136497
+0.0144319
+0.0153084
+0.0161713
+0.0171234
+0.0182186
+0.0193129
+0.0204759
+0.0215846
+0.0227742
+0.0240834
+0.0255126
+0.0270401
+0.0286293
+0.0302935
+0.0320211
+0.0338025
+0.0356296
+0.0374956
+0.0393948
+0.0413202
+0.0759586
+0.0743784
+0.0725207
+0.070682
+0.0688639
+0.067068
+0.0652963
+0.0635508
+0.0618335
+0.060147
+0.058494
+0.0568769
+0.0552886
+0.0537428
+0.0522431
+0.0507919
+0.0493945
+0.0480564
+0.0467473
+0.0451535
+0.0436115
+0.042127
+0.0407064
+0.0393522
+0.0380732
+0.03688
+0.0357812
+0.0347858
+0.0338855
+0.0331041
+0.032452
+0.0319371
+0.0315546
+0.0313031
+0.0312036
+0.0312578
+0.0314648
+0.0318095
+0.0320779
+0.0318019
+0.0306293
+0.0286838
+0.0267763
+0.0249134
+0.0230997
+0.0213568
+0.0197035
+0.0181642
+0.0167132
+0.0153486
+0.0141778
+0.0128963
+0.011512
+0.0102821
+0.00938876
+0.0087985
+0.00850423
+0.00863726
+0.00914391
+0.0097718
+0.00961118
+0.00830498
+0.00732767
+0.00663627
+0.00613673
+0.00618485
+0.00669698
+0.00756477
+0.00877564
+0.0098216
+0.0100684
+0.0101723
+0.0104693
+0.0106347
+0.0107552
+0.0110328
+0.0114556
+0.0120832
+0.0128691
+0.0135879
+0.0143816
+0.0152193
+0.0160873
+0.0170587
+0.0181437
+0.0192847
+0.0204624
+0.0216742
+0.0229177
+0.0242191
+0.0256408
+0.0271611
+0.0287436
+0.0304015
+0.0321234
+0.0338994
+0.0357215
+0.037583
+0.0394779
+0.0413995
+0.0750946
+0.0732936
+0.0714076
+0.0695394
+0.0676907
+0.0658629
+0.0640578
+0.0622775
+0.0605242
+0.0588001
+0.0571081
+0.055451
+0.0538321
+0.0522488
+0.0507049
+0.0492101
+0.0477669
+0.0463819
+0.0450609
+0.0436994
+0.0421042
+0.0405646
+0.0390872
+0.0376793
+0.0363444
+0.0350925
+0.0339359
+0.0328848
+0.0319409
+0.0311106
+0.0304158
+0.0298659
+0.0294621
+0.0291925
+0.0290858
+0.029144
+0.0293658
+0.0297378
+0.0300028
+0.0297105
+0.029575
+0.0278375
+0.0258677
+0.0239362
+0.0220533
+0.0202274
+0.0184733
+0.0168219
+0.0153065
+0.0139521
+0.0126488
+0.011294
+0.00983791
+0.00847076
+0.00737392
+0.00669919
+0.00635447
+0.00651834
+0.00712873
+0.00787458
+0.00864099
+0.00744496
+0.00639795
+0.00577242
+0.00527495
+0.00533457
+0.00591737
+0.00685177
+0.0081208
+0.00904427
+0.00979191
+0.00994681
+0.0100711
+0.0100175
+0.0102
+0.0107864
+0.0116899
+0.0123686
+0.013133
+0.0138386
+0.0146188
+0.0154435
+0.0162997
+0.0172555
+0.0183321
+0.0194624
+0.0206465
+0.0218833
+0.0232213
+0.0245358
+0.0259401
+0.0274476
+0.0290232
+0.0306661
+0.0323739
+0.0341369
+0.0359469
+0.0377973
+0.039682
+0.0415941
+0.0741875
+0.0722588
+0.0703451
+0.068448
+0.0665689
+0.0647094
+0.0628713
+0.0610564
+0.0592669
+0.0575052
+0.0557739
+0.054076
+0.0524146
+0.0507933
+0.0492162
+0.0476748
+0.0461837
+0.0447497
+0.0433789
+0.0420777
+0.0406546
+0.0390579
+0.0375212
+0.0360522
+0.0346595
+0.0333526
+0.032134
+0.0310219
+0.0300286
+0.0291455
+0.0284026
+0.0278129
+0.0273846
+0.0270946
+0.0269797
+0.0270423
+0.0272813
+0.0276844
+0.0278823
+0.0276345
+0.0274888
+0.0271357
+0.0251155
+0.0231213
+0.021166
+0.0192614
+0.0174242
+0.015672
+0.014033
+0.0125586
+0.0110819
+0.00978964
+0.00824875
+0.00678428
+0.00547777
+0.00464526
+0.00424362
+0.00446916
+0.00525404
+0.00613592
+0.00702124
+0.00704327
+0.00609449
+0.00550428
+0.00512903
+0.00530376
+0.00583704
+0.00669724
+0.00798609
+0.00851929
+0.0088049
+0.00895205
+0.00896529
+0.00884381
+0.00902909
+0.00968665
+0.0106835
+0.0119611
+0.0134529
+0.0144216
+0.0151685
+0.0159512
+0.016793
+0.0177202
+0.0187657
+0.0198623
+0.0210419
+0.0222952
+0.0236129
+0.0249967
+0.0263967
+0.0278795
+0.0294401
+0.0310681
+0.0327618
+0.0345114
+0.0363034
+0.0381364
+0.0400052
+0.0419026
+0.0732258
+0.0712734
+0.0693353
+0.06741
+0.0655012
+0.0636105
+0.0617396
+0.0598905
+0.0580651
+0.0562658
+0.0544951
+0.052756
+0.0510517
+0.0493857
+0.0477622
+0.0461855
+0.0446518
+0.0431669
+0.0417442
+0.0403903
+0.0391123
+0.0376183
+0.0360202
+0.0344874
+0.0330287
+0.0316546
+0.0303764
+0.0292045
+0.0281472
+0.0272128
+0.0264165
+0.025782
+0.0253216
+0.0250127
+0.0248882
+0.0249561
+0.0252148
+0.0256536
+0.0257734
+0.0255453
+0.0254201
+0.0254241
+0.0245187
+0.0224716
+0.0204542
+0.0184764
+0.0165523
+0.014703
+0.0129605
+0.0113584
+0.00972461
+0.00831754
+0.00682664
+0.00526348
+0.00374101
+0.00263829
+0.0022154
+0.00258435
+0.00365235
+0.00460856
+0.00552798
+0.00642758
+0.00637199
+0.0059842
+0.00581476
+0.00598614
+0.0064479
+0.00693903
+0.0077372
+0.00807678
+0.00825528
+0.00842244
+0.00824963
+0.00808058
+0.0082818
+0.00893032
+0.00998989
+0.0113269
+0.0128922
+0.0146192
+0.0159499
+0.0166964
+0.0174991
+0.018391
+0.0194002
+0.0204838
+0.0216528
+0.0228725
+0.0241686
+0.0255605
+0.0269886
+0.0284656
+0.0300036
+0.0316026
+0.0332691
+0.0349933
+0.0367673
+0.0385842
+0.0404381
+0.0423223
+0.0723176
+0.0703401
+0.0683755
+0.0664251
+0.0644901
+0.062569
+0.0606661
+0.0587831
+0.0569222
+0.0550856
+0.0532758
+0.0514955
+0.049748
+0.0480368
+0.0463661
+0.0447402
+0.0431643
+0.0416392
+0.0401625
+0.0387533
+0.0374195
+0.0361692
+0.0345929
+0.0329938
+0.031466
+0.0300204
+0.0286695
+0.0274273
+0.0263076
+0.0253121
+0.0244545
+0.0237685
+0.0232692
+0.022951
+0.0228152
+0.0228893
+0.0231711
+0.0236425
+0.0236795
+0.0234269
+0.0233736
+0.0233746
+0.0235728
+0.0219228
+0.0198828
+0.0178786
+0.0159215
+0.013989
+0.0121445
+0.0104077
+0.0086607
+0.00702657
+0.00537066
+0.00397943
+0.00239948
+0.000958501
+0.000650779
+0.00135433
+0.00280821
+0.00364894
+0.0043669
+0.00520346
+0.00584874
+0.00597918
+0.00595369
+0.00607439
+0.00632471
+0.00682515
+0.00757871
+0.00815216
+0.00814259
+0.00837649
+0.00802934
+0.00779095
+0.00796898
+0.00863588
+0.00972758
+0.0110892
+0.0126729
+0.014408
+0.0162535
+0.0176801
+0.0184359
+0.0192884
+0.0202529
+0.0212989
+0.0224266
+0.0236395
+0.0248956
+0.0262499
+0.0277014
+0.0291686
+0.0306857
+0.032269
+0.0339105
+0.0356038
+0.0373488
+0.0391386
+0.0409674
+0.0428302
+0.0714621
+0.0694616
+0.0674729
+0.0654959
+0.0635327
+0.0615847
+0.0596536
+0.0577377
+0.055842
+0.0539686
+0.05212
+0.0502988
+0.0485082
+0.0467517
+0.0450333
+0.0433575
+0.0417294
+0.0401548
+0.0386377
+0.0371708
+0.035778
+0.0344682
+0.0332488
+0.0315817
+0.029982
+0.0284612
+0.0270283
+0.0256993
+0.0244944
+0.0234328
+0.0225337
+0.0217859
+0.0212385
+0.0209074
+0.0207665
+0.0208478
+0.0211569
+0.0216613
+0.0216041
+0.0213231
+0.0212652
+0.0213532
+0.02157
+0.021503
+0.0194149
+0.0173522
+0.015325
+0.0133496
+0.0114439
+0.00964107
+0.00781802
+0.00601605
+0.00417997
+0.0025487
+0.00139365
+0.000642548
+0.000295354
+0.000848729
+0.00177421
+0.00268228
+0.00308971
+0.00361096
+0.00446942
+0.00559235
+0.00589919
+0.00612503
+0.00652459
+0.00725883
+0.00779093
+0.00827153
+0.008511
+0.00872355
+0.00830039
+0.0080316
+0.0081985
+0.0088345
+0.00986628
+0.0112044
+0.0127738
+0.0144969
+0.0163324
+0.0182464
+0.0195618
+0.0203827
+0.0212977
+0.0222947
+0.0233744
+0.0245433
+0.0257887
+0.0270985
+0.0285068
+0.030008
+0.0315028
+0.0330473
+0.0346612
+0.0363356
+0.0380476
+0.039806
+0.0416055
+0.043441
+0.0706595
+0.0686356
+0.0666222
+0.0646204
+0.0626312
+0.0606559
+0.0586959
+0.0567528
+0.054828
+0.0529187
+0.0510321
+0.0491707
+0.0473374
+0.0455358
+0.0437697
+0.0420435
+0.0403624
+0.0387323
+0.0371599
+0.03565
+0.0341953
+0.0328224
+0.0315421
+0.0302458
+0.0285826
+0.0269757
+0.0254561
+0.0240403
+0.0227477
+0.0216004
+0.0206227
+0.0198336
+0.0192306
+0.0188643
+0.0187485
+0.0188399
+0.0191814
+0.0197245
+0.019529
+0.0192387
+0.0191745
+0.0193499
+0.0196074
+0.0200837
+0.0191135
+0.0170583
+0.0149914
+0.0129653
+0.0110024
+0.00914355
+0.00715756
+0.00520151
+0.00335162
+0.00176873
+0.00108412
+0.00119252
+0.000594768
+0.000875449
+0.00137399
+0.00143556
+0.00216999
+0.00286532
+0.00376476
+0.0048996
+0.00607252
+0.00659336
+0.00672046
+0.00717923
+0.00774402
+0.00831523
+0.00833374
+0.00859587
+0.00863226
+0.00857368
+0.0088551
+0.00946806
+0.0104604
+0.0117348
+0.0132415
+0.0149106
+0.0167007
+0.0185768
+0.0205154
+0.0216243
+0.0225077
+0.0234534
+0.0244821
+0.0256004
+0.0267993
+0.0280926
+0.0294534
+0.0309097
+0.0324208
+0.0339494
+0.0355224
+0.0371579
+0.0388482
+0.0405809
+0.0423475
+0.0441521
+0.0699163
+0.0678702
+0.0658334
+0.0638069
+0.0617915
+0.0597885
+0.0577991
+0.0558248
+0.0538672
+0.0519282
+0.05001
+0.0481151
+0.0462408
+0.0443947
+0.0425813
+0.0408049
+0.0390705
+0.0373842
+0.0357525
+0.0341835
+0.0326829
+0.0312437
+0.0298958
+0.0286522
+0.0272522
+0.0255885
+0.0239812
+0.0224727
+0.0210842
+0.0198409
+0.0187718
+0.017908
+0.0172663
+0.0168574
+0.0167276
+0.0168558
+0.0172366
+0.0178464
+0.0174573
+0.0171807
+0.0171088
+0.0173161
+0.0176807
+0.0181864
+0.0186871
+0.0165798
+0.0144974
+0.0124521
+0.0104649
+0.0085379
+0.00673185
+0.00474504
+0.0028862
+0.00141827
+0.000841034
+0.00081597
+0.000705956
+0.000953071
+0.00150289
+0.00200043
+0.00277097
+0.00338838
+0.00412333
+0.0050348
+0.0058347
+0.00687965
+0.00718956
+0.00763161
+0.00823791
+0.00876063
+0.00858277
+0.0088625
+0.00859337
+0.0084405
+0.00872038
+0.00945452
+0.0105613
+0.011937
+0.0134829
+0.0151882
+0.0170052
+0.0189015
+0.0208556
+0.0228526
+0.0238253
+0.0247249
+0.0257128
+0.0267953
+0.027943
+0.0291886
+0.0305282
+0.0319355
+0.0334181
+0.0349402
+0.0364948
+0.0380887
+0.0397394
+0.0414402
+0.0431852
+0.0449588
+0.0692344
+0.0671676
+0.0651089
+0.063059
+0.061019
+0.0589897
+0.0569725
+0.0549684
+0.0529792
+0.0510065
+0.0490523
+0.0471189
+0.045209
+0.0433256
+0.0414725
+0.0396487
+0.0378614
+0.0361186
+0.0344271
+0.0327946
+0.0312306
+0.0297425
+0.0283233
+0.0270074
+0.0258107
+0.0242847
+0.0226182
+0.0210167
+0.019525
+0.0181754
+0.0170018
+0.016043
+0.0153393
+0.0148788
+0.0147317
+0.0148977
+0.0153273
+0.0159983
+0.0154184
+0.0151201
+0.0150785
+0.0153114
+0.015791
+0.0163532
+0.0171246
+0.0163484
+0.014232
+0.0121421
+0.0100951
+0.00811883
+0.00622869
+0.00433211
+0.00258841
+0.00129284
+0.000690266
+0.000781785
+0.00146598
+0.00226391
+0.00235478
+0.00284393
+0.00335596
+0.0043559
+0.00530463
+0.0057668
+0.00627824
+0.00698747
+0.00796457
+0.00823517
+0.00871009
+0.00885485
+0.00917715
+0.0093459
+0.00900405
+0.00880883
+0.00905769
+0.00974721
+0.0108126
+0.0121599
+0.0136807
+0.0153641
+0.0171624
+0.0190431
+0.020984
+0.0229699
+0.02499
+0.0261093
+0.0270577
+0.0280944
+0.0292065
+0.0304004
+0.0316915
+0.0330748
+0.0345085
+0.0360098
+0.0375463
+0.0391201
+0.040729
+0.0423901
+0.0440975
+0.045846
+0.0686158
+0.0665298
+0.0644507
+0.0623792
+0.0603161
+0.0582624
+0.056219
+0.0541872
+0.0521682
+0.0501636
+0.0481752
+0.0462051
+0.0442557
+0.04233
+0.0404312
+0.0385635
+0.0367295
+0.0349359
+0.0331899
+0.0314971
+0.0298652
+0.0283089
+0.0268295
+0.0254364
+0.0241619
+0.0230258
+0.0213544
+0.0196836
+0.0180967
+0.016632
+0.0153409
+0.0142709
+0.0134749
+0.0129559
+0.0127866
+0.01299
+0.0134763
+0.0140403
+0.0134129
+0.0130905
+0.0130673
+0.013356
+0.0139022
+0.0146187
+0.0154686
+0.0163792
+0.0142835
+0.0122023
+0.0101286
+0.00811426
+0.00621798
+0.00434466
+0.00266909
+0.00157771
+0.00158046
+0.00190683
+0.00200546
+0.00195865
+0.0023383
+0.00311819
+0.00359183
+0.00437019
+0.00537814
+0.00622166
+0.00689484
+0.00753094
+0.00808755
+0.00863668
+0.00911002
+0.00916038
+0.00953544
+0.0102066
+0.00976329
+0.00956772
+0.00980344
+0.0104325
+0.0114342
+0.0126954
+0.014178
+0.0158259
+0.0175915
+0.0194322
+0.0213377
+0.0232935
+0.0252878
+0.0273122
+0.0284967
+0.0294975
+0.0305749
+0.0317173
+0.0329568
+0.0342917
+0.0357001
+0.0371533
+0.0386761
+0.0402223
+0.0418101
+0.0434299
+0.0450979
+0.0468091
+0.0680621
+0.0659585
+0.0638608
+0.0617696
+0.0596855
+0.0576093
+0.0555419
+0.0534843
+0.0514377
+0.0494035
+0.0473832
+0.0453787
+0.0433923
+0.0414264
+0.0394842
+0.0375694
+0.0356844
+0.0338354
+0.0320295
+0.0302745
+0.0285797
+0.0269565
+0.0254185
+0.0239521
+0.0225941
+0.0213747
+0.0202493
+0.0184788
+0.0167885
+0.0152177
+0.0138089
+0.0126242
+0.0117238
+0.0111141
+0.0109164
+0.0111446
+0.0117126
+0.0121424
+0.0114592
+0.0110891
+0.011087
+0.0114714
+0.0121154
+0.0130225
+0.0139489
+0.0151315
+0.0146043
+0.0125437
+0.0105356
+0.00860773
+0.0068207
+0.00513751
+0.00375193
+0.00305373
+0.00329262
+0.00226445
+0.00245164
+0.00224093
+0.00311454
+0.00375944
+0.00430779
+0.00495945
+0.0059074
+0.00661197
+0.007249
+0.00797123
+0.00845125
+0.0088298
+0.00942498
+0.00982448
+0.0101751
+0.0104158
+0.0108252
+0.0106889
+0.0109004
+0.0114695
+0.0123876
+0.0135604
+0.0149575
+0.0165279
+0.0182266
+0.0200212
+0.021888
+0.0238101
+0.025769
+0.0277583
+0.029776
+0.0309796
+0.0320176
+0.0331269
+0.0343155
+0.0355995
+0.0369687
+0.0383879
+0.0398635
+0.0414026
+0.042955
+0.0445531
+0.0461806
+0.0478531
+0.0675557
+0.0654557
+0.0633413
+0.0612323
+0.0591293
+0.0570329
+0.0549438
+0.0528629
+0.0507913
+0.0487301
+0.0466807
+0.0446447
+0.042624
+0.040621
+0.0386383
+0.0366794
+0.0347461
+0.0328443
+0.0309808
+0.0291627
+0.0273992
+0.0257015
+0.0240836
+0.0225539
+0.0211344
+0.0198286
+0.0186857
+0.017464
+0.0156676
+0.0139748
+0.0124369
+0.0111078
+0.010084
+0.0093993
+0.00916461
+0.00941343
+0.0100778
+0.0103564
+0.0095527
+0.00916378
+0.009195
+0.00967164
+0.0104298
+0.0114841
+0.0126038
+0.0138907
+0.0152023
+0.0132285
+0.0113345
+0.00956817
+0.00796493
+0.00649707
+0.00543043
+0.00469752
+0.00362965
+0.00313178
+0.00273552
+0.00334833
+0.00378948
+0.00399655
+0.00441616
+0.00505294
+0.00555576
+0.00655064
+0.00697837
+0.00749728
+0.00844039
+0.00942155
+0.00989124
+0.0105273
+0.0109093
+0.0109914
+0.011279
+0.0119098
+0.0122563
+0.0127629
+0.013594
+0.0147034
+0.0160012
+0.017478
+0.0190924
+0.0208125
+0.0226141
+0.0244792
+0.0263944
+0.0283495
+0.0303369
+0.032349
+0.0335301
+0.0346095
+0.0357569
+0.0369908
+0.0383104
+0.039705
+0.0411334
+0.0426266
+0.044178
+0.0457344
+0.0473383
+0.0489713
+0.0668315
+0.0647898
+0.0627582
+0.0607376
+0.0586497
+0.0565355
+0.0544273
+0.0523259
+0.0502322
+0.048147
+0.0460717
+0.0440075
+0.0419562
+0.0399197
+0.0379004
+0.0359011
+0.0339236
+0.0319729
+0.0300553
+0.0281776
+0.0263483
+0.0245781
+0.0228809
+0.0212648
+0.0197529
+0.0183782
+0.0171609
+0.016127
+0.0147499
+0.0129754
+0.0113079
+0.00982742
+0.00865371
+0.00785029
+0.00756772
+0.00786334
+0.00864759
+0.0086886
+0.00778913
+0.00735982
+0.00742064
+0.00800365
+0.00893328
+0.0101609
+0.0114903
+0.0128752
+0.0144188
+0.0142056
+0.0124681
+0.0108466
+0.00941459
+0.00813485
+0.00672522
+0.00548192
+0.0044217
+0.00394495
+0.00357564
+0.0038787
+0.00408856
+0.00418882
+0.00473715
+0.00534479
+0.00581283
+0.00642823
+0.0068142
+0.00726424
+0.00822454
+0.00950889
+0.0104966
+0.0111742
+0.0119047
+0.0118507
+0.0121142
+0.0126791
+0.0135606
+0.0142689
+0.0150168
+0.0160315
+0.0172611
+0.0186383
+0.0201601
+0.021796
+0.0235224
+0.0253207
+0.0271767
+0.0290793
+0.0310199
+0.0329919
+0.0349898
+0.0361527
+0.0372695
+0.0384567
+0.0397276
+0.0410761
+0.0424784
+0.0439259
+0.045433
+0.0469872
+0.0485523
+0.0501582
+0.0661719
+0.0641092
+0.0620553
+0.0600111
+0.0579775
+0.0559559
+0.0539474
+0.0518713
+0.0497622
+0.0476576
+0.04556
+0.0434715
+0.0413937
+0.039328
+0.0372767
+0.0352421
+0.0332253
+0.0312311
+0.0292649
+0.027333
+0.025443
+0.023605
+0.0218323
+0.0201322
+0.0185281
+0.017055
+0.0157498
+0.0146348
+0.0137608
+0.0122
+0.0104362
+0.00882149
+0.00749213
+0.00661324
+0.00627521
+0.00661469
+0.00750308
+0.0072866
+0.00624394
+0.00573551
+0.00588512
+0.00662923
+0.00769122
+0.00910702
+0.0106402
+0.0121133
+0.0137428
+0.0154179
+0.0138191
+0.0119853
+0.0101737
+0.00854158
+0.00718563
+0.00624972
+0.00510914
+0.00445429
+0.00411956
+0.0041639
+0.00423585
+0.00445723
+0.00510782
+0.00575962
+0.00624123
+0.00664965
+0.00700149
+0.00742186
+0.00837347
+0.00967781
+0.0106768
+0.0118007
+0.0129513
+0.0129849
+0.013206
+0.0137161
+0.0145349
+0.0156022
+0.0166076
+0.0175304
+0.0186659
+0.0199723
+0.0213994
+0.0229472
+0.0245929
+0.0263182
+0.0281083
+0.0299518
+0.0318393
+0.0337634
+0.0357183
+0.0376991
+0.0388309
+0.039989
+0.0412127
+0.0425141
+0.0438863
+0.045294
+0.0467569
+0.048275
+0.0498306
+0.0514025
+0.0655788
+0.0634969
+0.0614225
+0.0593565
+0.0572998
+0.0552533
+0.0532183
+0.0511962
+0.0491885
+0.0471971
+0.0451358
+0.0430312
+0.0409357
+0.0388503
+0.0367731
+0.034709
+0.0326593
+0.0306283
+0.0286208
+0.0266421
+0.0246993
+0.0228015
+0.0209609
+0.0191838
+0.0174929
+0.0159244
+0.0145178
+0.0133246
+0.0123667
+0.0117279
+0.00988048
+0.00817865
+0.00672272
+0.00575187
+0.00537003
+0.00577738
+0.00678633
+0.00628518
+0.00508244
+0.00449068
+0.00474384
+0.00558327
+0.00681757
+0.00840202
+0.0101075
+0.0116747
+0.0133578
+0.015171
+0.0144251
+0.0125833
+0.0108718
+0.00936222
+0.00811125
+0.007095
+0.00589512
+0.00526755
+0.00509871
+0.00505929
+0.00508824
+0.0052814
+0.00585322
+0.00650361
+0.00709105
+0.00743051
+0.00772099
+0.00812807
+0.00900536
+0.0102605
+0.0112237
+0.0122826
+0.0135599
+0.0143435
+0.014544
+0.0150035
+0.0157554
+0.0167458
+0.0179137
+0.0191629
+0.0202069
+0.0214247
+0.0227824
+0.0242421
+0.0258053
+0.0274545
+0.029175
+0.030955
+0.0327848
+0.0346565
+0.0365636
+0.038501
+0.0404504
+0.0415675
+0.0427584
+0.0440141
+0.0453409
+0.0467247
+0.0481442
+0.0496198
+0.0511468
+0.0521889
+0.0650542
+0.0629549
+0.0608621
+0.0587764
+0.0566986
+0.0546296
+0.0525705
+0.0505225
+0.0484869
+0.0464654
+0.04446
+0.0424729
+0.0405068
+0.0384685
+0.0363731
+0.0342835
+0.0322068
+0.0301462
+0.0281053
+0.0260887
+0.0241025
+0.0221538
+0.0202544
+0.0184198
+0.0166714
+0.0150298
+0.0135306
+0.0122416
+0.0111913
+0.0104893
+0.00977083
+0.00801516
+0.00652283
+0.00547404
+0.00510998
+0.00552368
+0.0066024
+0.00578694
+0.00456613
+0.00400524
+0.0042937
+0.00522366
+0.00655148
+0.00818171
+0.00992441
+0.0115675
+0.0132664
+0.0150779
+0.0152185
+0.013473
+0.0118761
+0.0104757
+0.00932174
+0.00819443
+0.00711438
+0.00657601
+0.00654876
+0.00650585
+0.00651187
+0.00662377
+0.00710739
+0.00771789
+0.00831142
+0.00867821
+0.00889628
+0.00929701
+0.0100739
+0.0112186
+0.0121058
+0.0130938
+0.0142987
+0.0155931
+0.0160654
+0.0164825
+0.0171699
+0.0180836
+0.0191701
+0.0204345
+0.0218459
+0.0229896
+0.0242656
+0.0256589
+0.0271407
+0.0287133
+0.0303626
+0.0320767
+0.0338459
+0.035662
+0.037518
+0.0394085
+0.0413286
+0.0431955
+0.0443517
+0.0455701
+0.0468529
+0.0482012
+0.0491618
+0.0499599
+0.0508399
+0.0517977
+0.0645997
+0.0624851
+0.060376
+0.0582729
+0.0561765
+0.0540875
+0.0520069
+0.0499358
+0.0478753
+0.0458269
+0.0437922
+0.0417733
+0.0397727
+0.0377859
+0.0358227
+0.0338873
+0.0318959
+0.0298138
+0.0277484
+0.0257039
+0.0236854
+0.0217004
+0.0197589
+0.0178751
+0.0160693
+0.014371
+0.0128228
+0.0114254
+0.0102831
+0.00951547
+0.00920851
+0.00838353
+0.00697053
+0.00599515
+0.00562127
+0.00604546
+0.00701289
+0.00596757
+0.00482039
+0.00435045
+0.00463853
+0.005585
+0.00687741
+0.00843398
+0.0101332
+0.0117946
+0.0134678
+0.0152643
+0.0162369
+0.0146136
+0.0131272
+0.0118287
+0.0107723
+0.00959522
+0.00868241
+0.0082373
+0.00830036
+0.00825178
+0.00825494
+0.00829346
+0.00871933
+0.00927515
+0.00986618
+0.01018
+0.0103665
+0.0107124
+0.0113935
+0.0124275
+0.0132749
+0.0141945
+0.0153178
+0.0166362
+0.0177044
+0.0180826
+0.0187112
+0.0195662
+0.0205836
+0.021766
+0.0230962
+0.0245501
+0.0258441
+0.0271628
+0.0285818
+0.0300791
+0.0316573
+0.0333049
+0.0350121
+0.0367706
+0.0385733
+0.0404144
+0.0422889
+0.0441924
+0.0459855
+0.0468504
+0.0474188
+0.0480805
+0.0488065
+0.0495871
+0.0504508
+0.0513899
+0.0642167
+0.0620891
+0.059966
+0.057848
+0.0557356
+0.0536295
+0.0515304
+0.0494393
+0.0473572
+0.0452854
+0.0432252
+0.0411786
+0.0391475
+0.0371274
+0.0351273
+0.0331514
+0.0312042
+0.0292914
+0.0274202
+0.0255021
+0.0234663
+0.021461
+0.0194957
+0.0175837
+0.0157445
+0.0140068
+0.0124133
+0.0109634
+0.00976729
+0.00895554
+0.00862933
+0.00875169
+0.00800648
+0.00709245
+0.00677835
+0.00710724
+0.00796837
+0.00677327
+0.00577061
+0.00530788
+0.00559276
+0.00650786
+0.00776542
+0.00919622
+0.010792
+0.0123652
+0.0139702
+0.0157094
+0.017472
+0.0159405
+0.0145553
+0.013331
+0.012294
+0.0112387
+0.0104686
+0.0101025
+0.0101542
+0.0101713
+0.0101726
+0.0101493
+0.0105156
+0.0110249
+0.0115808
+0.0118975
+0.0120575
+0.0123561
+0.0129511
+0.0138694
+0.0146418
+0.0154804
+0.0165655
+0.0178051
+0.0189236
+0.0197891
+0.0203651
+0.0211534
+0.022124
+0.0232282
+0.024479
+0.0258552
+0.027338
+0.0287492
+0.0301
+0.0315381
+0.0330467
+0.0346283
+0.0362732
+0.0379734
+0.0397215
+0.0415118
+0.0433388
+0.0451981
+0.0461059
+0.0465805
+0.0471403
+0.047748
+0.0484473
+0.0492341
+0.0500858
+0.051017
+0.0639065
+0.0617682
+0.0596337
+0.0575035
+0.055378
+0.0532577
+0.0511434
+0.0490358
+0.0469358
+0.0448445
+0.0427631
+0.0406932
+0.0386366
+0.0365883
+0.0345571
+0.0325465
+0.0305608
+0.028605
+0.0266857
+0.0248114
+0.0229921
+0.0212215
+0.0194765
+0.017562
+0.0157198
+0.0139783
+0.0123457
+0.0108742
+0.00967885
+0.00885906
+0.00850983
+0.00863367
+0.00925902
+0.0085841
+0.00832647
+0.00859633
+0.00932089
+0.00809603
+0.00718775
+0.00678442
+0.00700955
+0.0077708
+0.00898696
+0.0102991
+0.0117559
+0.0132503
+0.0147668
+0.0164312
+0.0181898
+0.0173848
+0.0160542
+0.0148868
+0.0139623
+0.0130428
+0.0123854
+0.0120775
+0.0121208
+0.0121827
+0.0121827
+0.0121167
+0.0124251
+0.0129061
+0.0134335
+0.0137502
+0.0138866
+0.0141467
+0.0146713
+0.015488
+0.0161902
+0.0169524
+0.0179512
+0.0191191
+0.0202442
+0.0211069
+0.0221125
+0.0228406
+0.0237491
+0.0247979
+0.0259732
+0.0272742
+0.0286836
+0.0301864
+0.0316908
+0.0330666
+0.0345193
+0.0360363
+0.0376197
+0.0392616
+0.0409548
+0.0426934
+0.0444719
+0.045544
+0.0459229
+0.0463399
+0.0468556
+0.04745
+0.0481337
+0.048906
+0.0497629
+0.0507
+0.0636702
+0.0615238
+0.0593805
+0.0572408
+0.0551052
+0.052974
+0.0508479
+0.0487275
+0.0466136
+0.0445071
+0.0424092
+0.0403212
+0.0382446
+0.036174
+0.0341182
+0.0320802
+0.0300636
+0.0280732
+0.0261149
+0.0241964
+0.022327
+0.020499
+0.0187471
+0.0170967
+0.0155631
+0.0141984
+0.0126257
+0.0111911
+0.0100271
+0.00923704
+0.00890048
+0.00901896
+0.00962919
+0.0103281
+0.010115
+0.0103382
+0.0107393
+0.00965975
+0.00889254
+0.00854579
+0.00872559
+0.0093701
+0.010401
+0.0117084
+0.0127851
+0.0140467
+0.0154763
+0.0170659
+0.0187769
+0.0188932
+0.0176419
+0.0165837
+0.0157591
+0.0149505
+0.0143806
+0.0141163
+0.0141533
+0.0142471
+0.0142214
+0.0141499
+0.0144148
+0.0148723
+0.0153753
+0.0156837
+0.0157923
+0.0160215
+0.0165034
+0.0172335
+0.0178672
+0.0185607
+0.0193082
+0.0197259
+0.0203434
+0.0211705
+0.022178
+0.0233456
+0.0246529
+0.0257845
+0.0268821
+0.0281079
+0.0294459
+0.0308788
+0.03237
+0.0339069
+0.0354895
+0.037134
+0.0388324
+0.0405781
+0.0422658
+0.0439525
+0.045139
+0.0453513
+0.0456679
+0.0460866
+0.0465959
+0.0471903
+0.0478778
+0.0486542
+0.0495154
+0.0504571
+0.0635087
+0.0613566
+0.0592073
+0.0570611
+0.0549185
+0.0527798
+0.0506455
+0.0485163
+0.0463927
+0.0442758
+0.0421663
+0.0400656
+0.0379751
+0.035889
+0.0338158
+0.0317584
+0.02972
+0.0277049
+0.0257174
+0.0237584
+0.0218404
+0.0199785
+0.0181728
+0.0164442
+0.0148381
+0.0133987
+0.0121852
+0.0112708
+0.0106769
+0.0100685
+0.00972352
+0.00983209
+0.010406
+0.0113025
+0.0119465
+0.0111164
+0.0104404
+0.00993581
+0.00977899
+0.00980638
+0.00918815
+0.0090491
+0.00935318
+0.0101329
+0.0112765
+0.0126515
+0.0142221
+0.0159373
+0.0177574
+0.0196532
+0.0193466
+0.0183854
+0.0176452
+0.0169269
+0.0164257
+0.0161948
+0.0162271
+0.0163443
+0.0162865
+0.0162241
+0.0164557
+0.0168938
+0.0173502
+0.0176764
+0.0177638
+0.0179679
+0.018414
+0.0190711
+0.0193481
+0.0193293
+0.0195441
+0.0199645
+0.020601
+0.0214292
+0.022425
+0.0235803
+0.0248753
+0.0262291
+0.0273544
+0.0285965
+0.0299443
+0.0313812
+0.0328501
+0.0343958
+0.0360086
+0.0376797
+0.0394004
+0.0411219
+0.0428835
+0.0446754
+0.0449728
+0.0451859
+0.0455037
+0.0459238
+0.0464349
+0.0470314
+0.0477211
+0.0484712
+0.0492874
+0.0501858
+0.0634225
+0.0612673
+0.0591148
+0.0569651
+0.0548187
+0.052676
+0.0505373
+0.0484033
+0.0462746
+0.044152
+0.0420364
+0.0399288
+0.0378307
+0.0357362
+0.0336536
+0.0315826
+0.0295235
+0.0274842
+0.0254701
+0.0234876
+0.0215454
+0.0196556
+0.0178171
+0.0160502
+0.0144002
+0.0129121
+0.011648
+0.0106878
+0.0100598
+0.00985505
+0.0101312
+0.010809
+0.0115159
+0.012332
+0.0121213
+0.0111253
+0.0104413
+0.0100244
+0.00949299
+0.00834012
+0.00760358
+0.00744374
+0.00781057
+0.00872702
+0.00997545
+0.011507
+0.0132143
+0.0150448
+0.0169609
+0.0189367
+0.0209552
+0.0202638
+0.0195908
+0.0189505
+0.0185042
+0.0182995
+0.0183281
+0.0184573
+0.0183807
+0.0183254
+0.0185308
+0.018953
+0.0193609
+0.0193686
+0.0191157
+0.0191121
+0.0193581
+0.0198443
+0.0197993
+0.0198087
+0.0200153
+0.020426
+0.0210514
+0.0218694
+0.0228687
+0.0240135
+0.0252863
+0.0266785
+0.0277956
+0.0290256
+0.0303641
+0.0317974
+0.0333083
+0.0348875
+0.0365232
+0.0381718
+0.0398726
+0.0416193
+0.0434062
+0.0447505
+0.0448775
+0.0450911
+0.045392
+0.0457929
+0.0462941
+0.0468881
+0.0475297
+0.0482623
+0.0490818
+0.0499839
+0.0634119
+0.0612564
+0.0591034
+0.0569533
+0.0548065
+0.0526632
+0.050524
+0.0483894
+0.0462601
+0.0441368
+0.0420204
+0.039912
+0.037808
+0.0357043
+0.0336117
+0.0315324
+0.0294693
+0.027426
+0.0254072
+0.0234194
+0.021471
+0.019574
+0.017727
+0.0159501
+0.0142886
+0.0127875
+0.0115097
+0.0105369
+0.00989956
+0.00969139
+0.00997212
+0.01066
+0.0116844
+0.01261
+0.0120117
+0.0115086
+0.0107944
+0.0100772
+0.00848912
+0.00717676
+0.00630577
+0.00611301
+0.00655473
+0.00762295
+0.0090254
+0.0106939
+0.0125126
+0.0144324
+0.0164197
+0.0184348
+0.0204815
+0.0221996
+0.0215749
+0.0210076
+0.0206059
+0.0204223
+0.0204479
+0.0205799
+0.0204951
+0.0204455
+0.0206298
+0.0201536
+0.0194494
+0.0189459
+0.0186873
+0.0186836
+0.0189352
+0.019432
+0.0200435
+0.0201639
+0.0205188
+0.0209389
+0.0215556
+0.0223708
+0.0233636
+0.0244891
+0.0257384
+0.0271074
+0.0283993
+0.0296043
+0.0309178
+0.0323265
+0.0338185
+0.0353795
+0.0369995
+0.0386758
+0.0404013
+0.0421701
+0.0439328
+0.0446732
+0.0448211
+0.0450338
+0.0453204
+0.0456912
+0.0461533
+0.0466974
+0.0473332
+0.0480605
+0.0488752
+0.0497731
+0.0634683
+0.0613144
+0.0591632
+0.057015
+0.0548701
+0.0527291
+0.0505922
+0.0484602
+0.0463336
+0.0442134
+0.0421003
+0.0399956
+0.0378925
+0.0357938
+0.0337068
+0.0316337
+0.0295777
+0.0275424
+0.0255328
+0.0235556
+0.0216196
+0.0197357
+0.0178952
+0.0161376
+0.014494
+0.0130043
+0.0117365
+0.0107693
+0.0101563
+0.0099535
+0.010227
+0.010897
+0.0119069
+0.0125861
+0.0118455
+0.0114326
+0.0108812
+0.00962203
+0.00796783
+0.00656143
+0.00559547
+0.0053773
+0.00587461
+0.00704669
+0.00854426
+0.010287
+0.0121636
+0.0141075
+0.0161083
+0.018153
+0.0202282
+0.0223256
+0.0235956
+0.0230893
+0.0227244
+0.0225581
+0.0225813
+0.0227154
+0.0224818
+0.0213338
+0.0203576
+0.0195788
+0.0190166
+0.0186712
+0.01851
+0.0185063
+0.0187602
+0.0192615
+0.0199634
+0.0202296
+0.0204477
+0.0208944
+0.0215555
+0.0224122
+0.023435
+0.0245847
+0.0258692
+0.0272694
+0.0287685
+0.0303306
+0.0316139
+0.0329928
+0.034456
+0.0359894
+0.0375831
+0.0392345
+0.0409365
+0.0426831
+0.044469
+0.0446173
+0.0446941
+0.0448779
+0.0451654
+0.0455375
+0.0460012
+0.0465471
+0.0471849
+0.0479144
+0.0487316
+0.0496321
+0.0635942
+0.0614447
+0.0592982
+0.0571551
+0.0550157
+0.0528805
+0.0507501
+0.048625
+0.046506
+0.0443939
+0.0422898
+0.040195
+0.038103
+0.0360166
+0.0339432
+0.0318856
+0.0298469
+0.0278313
+0.0258442
+0.0238928
+0.0219727
+0.0200945
+0.018286
+0.01657
+0.0149738
+0.0135371
+0.0123242
+0.011407
+0.0108301
+0.0106401
+0.0108964
+0.0115276
+0.0124865
+0.0124347
+0.0111049
+0.010038
+0.00934557
+0.00905935
+0.00792337
+0.00655455
+0.0055874
+0.00538259
+0.0058804
+0.00703252
+0.00851702
+0.0102524
+0.0121344
+0.0140822
+0.0160861
+0.0181333
+0.0202106
+0.0223096
+0.0244247
+0.0251895
+0.0248555
+0.0247035
+0.0245502
+0.0232223
+0.0220267
+0.0208994
+0.0199018
+0.0191045
+0.0185331
+0.0181687
+0.0180537
+0.0182035
+0.0186118
+0.0189871
+0.0194994
+0.020144
+0.0205023
+0.0209479
+0.0216074
+0.0224621
+0.0234906
+0.0246457
+0.0259272
+0.0273244
+0.0288206
+0.0304012
+0.0320536
+0.0337645
+0.0352185
+0.03672
+0.0382834
+0.0399058
+0.0415803
+0.0433009
+0.0445704
+0.0445677
+0.0446446
+0.0448286
+0.0451164
+0.0454889
+0.0459531
+0.0464995
+0.0471231
+0.0478342
+0.0486337
+0.0495172
+0.0637952
+0.0616527
+0.0595137
+0.0573786
+0.0552479
+0.053122
+0.0510016
+0.0488875
+0.0467803
+0.0446813
+0.0425914
+0.0405122
+0.0384375
+0.0363702
+0.0343182
+0.0322845
+0.0302726
+0.0282874
+0.0263311
+0.0243957
+0.0225064
+0.0206768
+0.018924
+0.0172714
+0.0157466
+0.0143871
+0.0132523
+0.0124039
+0.0118623
+0.0116891
+0.0119229
+0.0125149
+0.0129299
+0.0112804
+0.0098434
+0.00862395
+0.00783354
+0.00752272
+0.00779421
+0.00719335
+0.0063328
+0.00615285
+0.00659275
+0.00763817
+0.00902358
+0.0106769
+0.0124926
+0.0143942
+0.01636
+0.0183767
+0.0204273
+0.0225013
+0.0245936
+0.0267016
+0.0269522
+0.025373
+0.0238905
+0.0225238
+0.0212889
+0.020211
+0.0193224
+0.0186273
+0.0181435
+0.0179003
+0.0177836
+0.0179357
+0.0183499
+0.0186808
+0.0192025
+0.0198926
+0.0204386
+0.0209896
+0.0217483
+0.0226939
+0.0237181
+0.0248813
+0.0261581
+0.0275501
+0.0290384
+0.0306077
+0.0322495
+0.0339505
+0.0357048
+0.0373402
+0.0388786
+0.0404772
+0.0421291
+0.0438282
+0.0445705
+0.0445712
+0.0446715
+0.0448653
+0.0451385
+0.0454601
+0.0458841
+0.0464077
+0.0470277
+0.0477402
+0.0485413
+0.0494089
+0.0640704
+0.0619374
+0.0598086
+0.0576845
+0.0555655
+0.0534522
+0.0513455
+0.0492461
+0.047155
+0.0450734
+0.0430026
+0.0409443
+0.0388926
+0.0368508
+0.0348272
+0.0328248
+0.0308408
+0.0288849
+0.0269572
+0.0250696
+0.0232352
+0.0214678
+0.0197852
+0.0182109
+0.0167717
+0.0155025
+0.0144555
+0.0136733
+0.0131637
+0.0130079
+0.0132184
+0.0137681
+0.0121862
+0.0104213
+0.00884581
+0.00751107
+0.00660921
+0.00629687
+0.00663183
+0.00752065
+0.00755757
+0.00740137
+0.00776928
+0.00867335
+0.00992039
+0.0114432
+0.0131412
+0.0149667
+0.016878
+0.0188325
+0.0208327
+0.0228678
+0.0249293
+0.0270111
+0.0265322
+0.0249285
+0.0234178
+0.0220218
+0.0207571
+0.0196501
+0.0187349
+0.0180171
+0.0175165
+0.0172812
+0.0173218
+0.0175941
+0.018119
+0.0186289
+0.019152
+0.0198439
+0.0204329
+0.0209877
+0.0217465
+0.0226921
+0.0238023
+0.0250426
+0.0264066
+0.0278762
+0.029389
+0.0309463
+0.0325766
+0.0342694
+0.0360143
+0.0377924
+0.0393838
+0.0410306
+0.042719
+0.0443956
+0.0446324
+0.044633
+0.0447328
+0.0449
+0.045117
+0.0454237
+0.0458278
+0.0463321
+0.0469332
+0.0476277
+0.0484114
+0.0492801
+0.064419
+0.062298
+0.0601819
+0.0580714
+0.0559671
+0.0538696
+0.0517798
+0.0496988
+0.0476276
+0.0455675
+0.0435203
+0.0414876
+0.0394629
+0.037445
+0.0354474
+0.0334739
+0.0315292
+0.0296188
+0.0277421
+0.0259118
+0.0241415
+0.0224455
+0.020842
+0.0193539
+0.0180062
+0.0168304
+0.0158712
+0.015137
+0.0146783
+0.0145387
+0.0147273
+0.0136464
+0.0117338
+0.00991424
+0.00824288
+0.00686995
+0.00586769
+0.0055596
+0.0059363
+0.00696016
+0.00837286
+0.00899659
+0.00930238
+0.0100715
+0.0111521
+0.0125261
+0.0141037
+0.0158186
+0.0176378
+0.0195164
+0.0214529
+0.0234342
+0.0254498
+0.0274922
+0.025971
+0.0245187
+0.0231438
+0.0217301
+0.0204474
+0.0193227
+0.0183911
+0.0176594
+0.0171484
+0.0169079
+0.0169495
+0.0172276
+0.0177633
+0.0183987
+0.0190296
+0.0195402
+0.0202467
+0.0211415
+0.0219642
+0.0229009
+0.0240014
+0.025232
+0.0265862
+0.0280464
+0.0295968
+0.031224
+0.0329167
+0.0346526
+0.0364292
+0.0382026
+0.0398786
+0.0415058
+0.0431827
+0.044904
+0.0448013
+0.044802
+0.0447974
+0.0448875
+0.0450839
+0.0453854
+0.0457898
+0.0462945
+0.0468962
+0.0475912
+0.0483755
+0.0492448
+0.0648398
+0.062733
+0.0606321
+0.0585378
+0.0564509
+0.0543721
+0.0523024
+0.050243
+0.0481952
+0.0461605
+0.0441407
+0.0421269
+0.0401232
+0.03814
+0.0361808
+0.0342496
+0.0323516
+0.0304927
+0.0286733
+0.0269064
+0.025206
+0.0235867
+0.0220663
+0.0206665
+0.0194103
+0.0183247
+0.0174404
+0.0167599
+0.0163468
+0.0162216
+0.0155716
+0.0135775
+0.0116542
+0.00982986
+0.00814119
+0.00672724
+0.0057347
+0.00542577
+0.00582096
+0.00689905
+0.00835999
+0.00998319
+0.0110222
+0.0116883
+0.0126331
+0.013861
+0.0153055
+0.0169112
+0.0186256
+0.0204135
+0.0222721
+0.0241864
+0.0261441
+0.0271354
+0.0255856
+0.0241101
+0.022717
+0.0214096
+0.0202389
+0.0192406
+0.0183049
+0.0175697
+0.0170559
+0.0168141
+0.0168559
+0.0171355
+0.0176741
+0.0182861
+0.0189463
+0.0194591
+0.0201685
+0.0210665
+0.0221456
+0.0232829
+0.0243964
+0.025608
+0.0269433
+0.0283851
+0.029918
+0.0315287
+0.0332058
+0.0349273
+0.0366957
+0.0385074
+0.0403568
+0.0420897
+0.0437443
+0.0451334
+0.0449446
+0.0448562
+0.0448489
+0.0449389
+0.0451351
+0.0454363
+0.0458403
+0.0463444
+0.0469454
+0.0476397
+0.0484232
+0.0492837
+0.0653314
+0.0632409
+0.0611575
+0.0590819
+0.0570148
+0.0549574
+0.0529106
+0.0508758
+0.0488545
+0.0468485
+0.0448466
+0.042858
+0.0408901
+0.038946
+0.0370295
+0.035145
+0.033298
+0.031495
+0.029737
+0.0280372
+0.0264097
+0.0248689
+0.0234318
+0.0221187
+0.0209497
+0.0199378
+0.0190957
+0.0184762
+0.0181023
+0.0177942
+0.0157768
+0.0138124
+0.0119271
+0.0101519
+0.00852725
+0.00718963
+0.00626693
+0.00598801
+0.00634895
+0.00735327
+0.00875056
+0.0104177
+0.0120838
+0.0134394
+0.01429
+0.0153894
+0.0167022
+0.018185
+0.0197995
+0.0214972
+0.0232695
+0.0251078
+0.0269988
+0.0269454
+0.0253762
+0.0238468
+0.0224132
+0.0210712
+0.0198805
+0.0188699
+0.0180696
+0.0174777
+0.0171246
+0.0169606
+0.0170021
+0.0172794
+0.0178136
+0.018411
+0.0191154
+0.0196237
+0.0203274
+0.0212187
+0.0222904
+0.0234603
+0.0246737
+0.0260146
+0.0274469
+0.0288855
+0.0303931
+0.0319799
+0.0336345
+0.035336
+0.0370848
+0.0388785
+0.040711
+0.0425773
+0.0443095
+0.0452252
+0.0450308
+0.0449279
+0.0449206
+0.0450104
+0.0452064
+0.045507
+0.0459104
+0.0464138
+0.0470139
+0.0477072
+0.0484896
+0.0493487
+0.0658922
+0.0638201
+0.0617562
+0.0597014
+0.0576566
+0.0556228
+0.0536015
+0.051594
+0.0496019
+0.0476125
+0.0456393
+0.0436868
+0.041758
+0.0398563
+0.0379857
+0.036151
+0.0343582
+0.0326127
+0.0309158
+0.0292844
+0.0277303
+0.026267
+0.0249107
+0.0236797
+0.0225745
+0.0216192
+0.0208451
+0.0202791
+0.019939
+0.0182391
+0.016277
+0.0143811
+0.0125662
+0.0108685
+0.00936894
+0.0081573
+0.00731634
+0.00707915
+0.00739462
+0.00828307
+0.00956679
+0.0110811
+0.0127928
+0.0145039
+0.0160427
+0.0170354
+0.0182301
+0.0195976
+0.0211043
+0.0227226
+0.0244231
+0.0261805
+0.0279992
+0.0265543
+0.0250447
+0.023642
+0.0223019
+0.0209532
+0.0197558
+0.018739
+0.0179333
+0.017342
+0.016986
+0.0169086
+0.0171137
+0.0175539
+0.0181214
+0.0187921
+0.0192356
+0.0198346
+0.0205179
+0.0214046
+0.0224675
+0.0236858
+0.0250155
+0.0263562
+0.027771
+0.0292812
+0.0308731
+0.0325346
+0.0341727
+0.03586
+0.0375975
+0.0393681
+0.0411788
+0.0430249
+0.0449019
+0.0454166
+0.0452085
+0.045106
+0.0450969
+0.0451864
+0.0453815
+0.0456811
+0.0460829
+0.0465844
+0.0471824
+0.0478584
+0.04861
+0.0494189
+0.0665204
+0.0644685
+0.0624261
+0.060394
+0.0583735
+0.0563656
+0.0543719
+0.0523935
+0.0504171
+0.048459
+0.0465218
+0.0446079
+0.0427207
+0.0408638
+0.0390415
+0.0372589
+0.0355168
+0.0338237
+0.0321906
+0.0306272
+0.0291448
+0.0277562
+0.0264763
+0.0253121
+0.0242709
+0.023385
+0.0226713
+0.022152
+0.0208715
+0.0189277
+0.0170249
+0.0151976
+0.0134791
+0.0119123
+0.010562
+0.00950458
+0.00879344
+0.0085971
+0.00885769
+0.00961183
+0.0107387
+0.0121073
+0.0136913
+0.0154019
+0.0171215
+0.0187823
+0.0198823
+0.0211432
+0.0225469
+0.0240684
+0.0256868
+0.0273849
+0.0278154
+0.0261955
+0.0246641
+0.0232363
+0.0218952
+0.0206996
+0.0196759
+0.0188253
+0.0180245
+0.0174385
+0.0170845
+0.0170076
+0.0172115
+0.0176493
+0.0182138
+0.018913
+0.0193227
+0.0199655
+0.0206445
+0.021526
+0.0225831
+0.0237955
+0.0251407
+0.0265784
+0.0280995
+0.0297044
+0.0313151
+0.0329544
+0.0346547
+0.0364074
+0.0382029
+0.039964
+0.0417565
+0.0435781
+0.0454323
+0.0456065
+0.0453992
+0.0452971
+0.0453009
+0.0453979
+0.0455922
+0.0458903
+0.0462864
+0.0467314
+0.0472687
+0.0479002
+0.0486223
+0.049431
+0.0672142
+0.0651842
+0.0631649
+0.0611574
+0.0591629
+0.0571828
+0.055216
+0.0532542
+0.0513109
+0.0493883
+0.0474889
+0.0456157
+0.043772
+0.0419616
+0.0401883
+0.0384512
+0.0367627
+0.0351296
+0.0335602
+0.0320637
+0.0306508
+0.0293336
+0.0281244
+0.0270143
+0.0260412
+0.0252176
+0.0245572
+0.0235899
+0.021667
+0.0197914
+0.0179784
+0.0162587
+0.0146617
+0.0132296
+0.0120281
+0.0110756
+0.0104719
+0.0103073
+0.0105202
+0.0111626
+0.0121709
+0.0134157
+0.0148609
+0.0164498
+0.0181563
+0.0198673
+0.0214887
+0.0227948
+0.0241025
+0.0255315
+0.0270625
+0.0286793
+0.0276472
+0.0260169
+0.0244718
+0.0229945
+0.0216384
+0.0204278
+0.0193793
+0.0184924
+0.017832
+0.0174233
+0.0172342
+0.0173194
+0.0175542
+0.0180049
+0.018566
+0.019192
+0.019655
+0.0202875
+0.0210001
+0.0218672
+0.0229086
+0.0241047
+0.0254335
+0.0268754
+0.0283945
+0.0299836
+0.0316446
+0.0333669
+0.0351413
+0.0369133
+0.0386853
+0.0404905
+0.0423322
+0.0442057
+0.0460604
+0.0458698
+0.0456638
+0.0455474
+0.0455273
+0.0455752
+0.0457281
+0.045985
+0.0463441
+0.0467906
+0.0473271
+0.0479579
+0.0486791
+0.0494869
+0.0679715
+0.0659648
+0.0639702
+0.0619888
+0.0600219
+0.0580666
+0.0561189
+0.0541898
+0.0522813
+0.0503957
+0.0485358
+0.0467046
+0.0449056
+0.0431386
+0.0414095
+0.0397259
+0.0380939
+0.0365204
+0.0350133
+0.0335816
+0.0322353
+0.0309856
+0.0298272
+0.0287826
+0.0278714
+0.0271034
+0.0263834
+0.0244838
+0.022637
+0.0208488
+0.0191363
+0.0175257
+0.0160502
+0.0147534
+0.0136657
+0.0128119
+0.0122937
+0.0121542
+0.0123369
+0.0128891
+0.0137716
+0.0148975
+0.0162113
+0.0176996
+0.0193035
+0.0210066
+0.0226379
+0.0242462
+0.0257507
+0.0270928
+0.0285402
+0.0289623
+0.0275476
+0.0259932
+0.0244128
+0.0229329
+0.0215742
+0.0203612
+0.0192904
+0.0183992
+0.0177353
+0.0173244
+0.0171341
+0.0172199
+0.0174561
+0.0179245
+0.0185705
+0.0192475
+0.0197914
+0.0205555
+0.0215164
+0.0224183
+0.0234353
+0.0246057
+0.0259088
+0.0273257
+0.0288297
+0.0303961
+0.0320357
+0.033738
+0.0354939
+0.0372958
+0.0391374
+0.0410133
+0.04288
+0.0447306
+0.0464275
+0.0461574
+0.0458919
+0.04573
+0.0456728
+0.0457205
+0.0458729
+0.046129
+0.046487
+0.0469281
+0.0474631
+0.0480921
+0.0488113
+0.0496169
+0.0687418
+0.0668082
+0.0648395
+0.0628855
+0.0609413
+0.0590072
+0.0570916
+0.0551965
+0.053324
+0.0514767
+0.0496573
+0.0478684
+0.0461084
+0.0443868
+0.0427082
+0.0410779
+0.0395017
+0.0379866
+0.0365401
+0.0351706
+0.0338875
+0.0326918
+0.03159
+0.0306056
+0.0297502
+0.029032
+0.0273615
+0.0255349
+0.0237698
+0.0220737
+0.0204581
+0.0189576
+0.0176025
+0.0164287
+0.0154216
+0.0146703
+0.0142201
+0.0140997
+0.0142591
+0.0147394
+0.015517
+0.016531
+0.0177241
+0.0190948
+0.0206077
+0.0222227
+0.0238487
+0.0254428
+0.0270686
+0.0287365
+0.030105
+0.0289724
+0.0273894
+0.0258696
+0.0244517
+0.0230666
+0.0217164
+0.0205117
+0.0194494
+0.0185659
+0.0179082
+0.0175013
+0.017313
+0.0173979
+0.0176316
+0.0180956
+0.0187356
+0.0195475
+0.0200855
+0.0208389
+0.0217873
+0.0228678
+0.0239895
+0.025208
+0.0265515
+0.027941
+0.0294182
+0.0309548
+0.0325664
+0.0342423
+0.0359735
+0.0377526
+0.0395729
+0.0414291
+0.043271
+0.0448578
+0.0464938
+0.0464044
+0.0461404
+0.0459794
+0.0459224
+0.0459692
+0.0461008
+0.0463356
+0.0466722
+0.0471083
+0.0476413
+0.0482679
+0.0489846
+0.0497848
+0.0692595
+0.067712
+0.0657704
+0.063837
+0.0619158
+0.0600131
+0.0581307
+0.0562705
+0.054435
+0.0526267
+0.050845
+0.049094
+0.0473796
+0.0457059
+0.0440776
+0.0424998
+0.0409784
+0.03952
+0.0381317
+0.0368214
+0.0355955
+0.0344473
+0.0334035
+0.0324741
+0.0316692
+0.0302828
+0.028475
+0.0267246
+0.0250435
+0.0234328
+0.021917
+0.0205235
+0.0192787
+0.0181852
+0.0172771
+0.01661
+0.0162137
+0.0161082
+0.0162494
+0.0166725
+0.0173637
+0.0182814
+0.0193669
+0.0206288
+0.0220366
+0.0235643
+0.0251848
+0.0267107
+0.0282987
+0.0299438
+0.0306217
+0.0290109
+0.027406
+0.0258871
+0.0244702
+0.0231576
+0.0219496
+0.0208908
+0.0198504
+0.0189856
+0.0183429
+0.0179459
+0.0177623
+0.0178451
+0.018073
+0.0185259
+0.0191516
+0.0199748
+0.0205725
+0.0212651
+0.0221536
+0.0232001
+0.0243754
+0.0256841
+0.0270533
+0.0284784
+0.029996
+0.0315926
+0.0332332
+0.0348771
+0.0365783
+0.0383293
+0.0401235
+0.0419272
+0.0434527
+0.0450332
+0.046663
+0.0467521
+0.0464702
+0.0462903
+0.0462136
+0.0462408
+0.0463715
+0.046605
+0.0469396
+0.0473733
+0.0479034
+0.0485266
+0.0492395
+0.0500123
+0.0698421
+0.0686738
+0.0667508
+0.0648419
+0.0629514
+0.061081
+0.0592325
+0.0574081
+0.0556097
+0.0538354
+0.0520928
+0.0503852
+0.0487162
+0.0470901
+0.0455113
+0.043985
+0.0425168
+0.0411129
+0.0397802
+0.0385261
+0.037343
+0.0362502
+0.0352598
+0.0343806
+0.0332361
+0.0314454
+0.0297085
+0.0280352
+0.0264239
+0.0248975
+0.0234765
+0.0221812
+0.0210348
+0.0200243
+0.0192033
+0.0186054
+0.0182525
+0.0181589
+0.0182856
+0.0186626
+0.0192826
+0.0201178
+0.0211095
+0.0222729
+0.0235828
+0.0250162
+0.0265533
+0.0280895
+0.0296072
+0.031201
+0.030859
+0.0291914
+0.0275957
+0.0260753
+0.02465
+0.0233304
+0.0221213
+0.0210712
+0.0201987
+0.0194928
+0.0190144
+0.018639
+0.0184623
+0.0185419
+0.0187614
+0.0191981
+0.0198025
+0.0202709
+0.0207816
+0.0214675
+0.0223479
+0.0233983
+0.0245732
+0.0258805
+0.0272996
+0.0288097
+0.0304024
+0.0320657
+0.0337893
+0.0354973
+0.0372388
+0.0390161
+0.0406934
+0.0422285
+0.0437435
+0.0453138
+0.046877
+0.0471211
+0.0468413
+0.0466629
+0.0465869
+0.0466138
+0.0467435
+0.0469751
+0.0473058
+0.0477163
+0.0482129
+0.048802
+0.0494812
+0.0502467
+0.0704869
+0.0696805
+0.0677834
+0.0659044
+0.0640453
+0.0622078
+0.0603938
+0.0586026
+0.0568373
+0.0551026
+0.0534013
+0.0517369
+0.050113
+0.0485337
+0.0470034
+0.0455271
+0.0441103
+0.0427588
+0.041479
+0.0402688
+0.0391351
+0.0380938
+0.0371526
+0.0362136
+0.0344384
+0.0327137
+0.0310475
+0.0294355
+0.0279018
+0.0264608
+0.0251283
+0.0239226
+0.0228614
+0.0219281
+0.0211811
+0.0206405
+0.020323
+0.0202389
+0.0203539
+0.0206932
+0.0212541
+0.022015
+0.0229291
+0.0240044
+0.0252246
+0.0265696
+0.0280216
+0.0295647
+0.0310129
+0.0325402
+0.0311181
+0.0295068
+0.0279249
+0.0264229
+0.0250174
+0.0236937
+0.0224982
+0.0214602
+0.0206004
+0.0199087
+0.0193951
+0.0191178
+0.0190598
+0.0192337
+0.019515
+0.0199493
+0.0203566
+0.020688
+0.0211949
+0.0218883
+0.0227524
+0.023785
+0.0249416
+0.0262306
+0.0276334
+0.0291335
+0.0307112
+0.0323587
+0.0340674
+0.0358286
+0.0376349
+0.0393955
+0.0409623
+0.0425645
+0.04401
+0.0454524
+0.0469527
+0.0475056
+0.0472282
+0.0470513
+0.0469759
+0.0470027
+0.0471314
+0.0473611
+0.0476663
+0.0480628
+0.048555
+0.04914
+0.0498145
+0.050575
+0.0710858
+0.0704962
+0.0688702
+0.0670217
+0.0651945
+0.0633899
+0.061606
+0.0598491
+0.0581216
+0.0564263
+0.0547662
+0.0531446
+0.051565
+0.0500315
+0.0485485
+0.0471207
+0.0457532
+0.0444517
+0.0432187
+0.0420504
+0.040966
+0.0399724
+0.0390765
+0.0374485
+0.0357347
+0.0340734
+0.0324633
+0.0309246
+0.0294685
+0.0281079
+0.0268573
+0.0257327
+0.0247398
+0.02388
+0.0231959
+0.0227034
+0.0224151
+0.0223389
+0.0224454
+0.0227536
+0.0232618
+0.0239534
+0.0248088
+0.0258059
+0.0269446
+0.0282077
+0.0295793
+0.0310451
+0.0325035
+0.0328636
+0.0312082
+0.0296098
+0.0280884
+0.0266604
+0.025325
+0.0241102
+0.0230311
+0.0220565
+0.0211948
+0.0205081
+0.0200076
+0.0197389
+0.0196827
+0.0198339
+0.0200776
+0.0205314
+0.0209244
+0.0213067
+0.0217993
+0.0224953
+0.0233555
+0.0243632
+0.0254937
+0.0267561
+0.0281327
+0.0296075
+0.0311612
+0.0327861
+0.0344736
+0.0362151
+0.038003
+0.039794
+0.0413457
+0.0428202
+0.0441994
+0.0456358
+0.0471303
+0.0479313
+0.0476563
+0.047481
+0.0474063
+0.0474328
+0.0475603
+0.047788
+0.0481121
+0.0485012
+0.0489811
+0.0495534
+0.0502004
+0.0509295
+0.0717249
+0.0711407
+0.0700087
+0.0681911
+0.0663935
+0.0646182
+0.0628692
+0.0611486
+0.0594589
+0.0578028
+0.0561834
+0.0546039
+0.0530678
+0.051579
+0.0501417
+0.0487606
+0.0474404
+0.0461864
+0.0449901
+0.043869
+0.0428307
+0.0418814
+0.0404718
+0.0387679
+0.0371108
+0.0355032
+0.033961
+0.0324933
+0.0311107
+0.0298251
+0.0286496
+0.0275981
+0.0266602
+0.0258643
+0.025234
+0.0247821
+0.0245182
+0.0244486
+0.0245534
+0.0248345
+0.0252948
+0.0259321
+0.0267342
+0.0276635
+0.0287287
+0.0299166
+0.0312132
+0.0326056
+0.0340699
+0.0330935
+0.0314501
+0.0298647
+0.028357
+0.0269432
+0.0256226
+0.0244069
+0.0233335
+0.0224206
+0.0216513
+0.0210824
+0.0207306
+0.020552
+0.0204803
+0.0206218
+0.0208563
+0.0212935
+0.0216995
+0.0221184
+0.0226007
+0.0232728
+0.0241065
+0.0250858
+0.026212
+0.0274469
+0.0287904
+0.0302332
+0.0317563
+0.0333522
+0.0350124
+0.0367284
+0.0384925
+0.0402892
+0.0417707
+0.0431262
+0.044496
+0.0459231
+0.0474085
+0.0484523
+0.0481803
+0.0480069
+0.047933
+0.0479593
+0.0480854
+0.0483106
+0.0485994
+0.0489805
+0.0494412
+0.0499897
+0.050627
+0.0513332
+0.0724247
+0.0718462
+0.0711961
+0.0694054
+0.0676383
+0.0658965
+0.0641823
+0.0624979
+0.0608457
+0.0592284
+0.057649
+0.0561108
+0.0546171
+0.0531717
+0.0517787
+0.0504423
+0.0491673
+0.0479497
+0.046797
+0.0457203
+0.044725
+0.0435057
+0.0418107
+0.0401574
+0.0385524
+0.0370076
+0.0355306
+0.0341305
+0.032817
+0.0316009
+0.0304939
+0.0295037
+0.0286194
+0.0278795
+0.0272958
+0.0268785
+0.0266354
+0.0265714
+0.0266663
+0.0269262
+0.027352
+0.0279424
+0.0286884
+0.0295668
+0.0305657
+0.0316849
+0.0329119
+0.0342353
+0.0351511
+0.0334655
+0.031837
+0.0302691
+0.0287826
+0.0273677
+0.0260489
+0.0248536
+0.0238004
+0.0229034
+0.0221639
+0.0216086
+0.0212655
+0.0211112
+0.0211735
+0.0214604
+0.0218278
+0.022246
+0.0226548
+0.0230771
+0.0235721
+0.0242239
+0.0250261
+0.0259708
+0.0270602
+0.028275
+0.0295961
+0.0310013
+0.0324885
+0.0340501
+0.0356779
+0.0373633
+0.0390988
+0.040878
+0.0421982
+0.0435405
+0.0448976
+0.0463123
+0.0477857
+0.0490657
+0.0487971
+0.0486259
+0.048553
+0.0485789
+0.048661
+0.0488265
+0.0490684
+0.0493895
+0.0498051
+0.0503126
+0.0509095
+0.0515919
+0.0731389
+0.072611
+0.0721005
+0.070665
+0.0689302
+0.0672219
+0.0655424
+0.0638938
+0.0622786
+0.0606996
+0.0591595
+0.0576615
+0.0562091
+0.0548057
+0.0534552
+0.0521619
+0.0509259
+0.0497457
+0.0486355
+0.0476004
+0.046548
+0.044861
+0.0432114
+0.0416089
+0.0400621
+0.0385777
+0.0371632
+0.035827
+0.0345779
+0.033426
+0.0323814
+0.0314384
+0.03061
+0.0299194
+0.0293763
+0.0289889
+0.0287637
+0.0287044
+0.0287908
+0.0290317
+0.0294284
+0.029978
+0.0306745
+0.0315073
+0.0324467
+0.0335031
+0.0346658
+0.0359246
+0.0356265
+0.0339566
+0.0323435
+0.0308013
+0.0293365
+0.0279391
+0.0266486
+0.0254814
+0.0244433
+0.023563
+0.0228448
+0.0223065
+0.0219743
+0.021825
+0.0218853
+0.0221629
+0.0226335
+0.0232776
+0.0237644
+0.0241967
+0.0246692
+0.0252928
+0.026082
+0.0270048
+0.0280541
+0.0292276
+0.0305126
+0.0318964
+0.0333488
+0.0348718
+0.036463
+0.0381137
+0.0398165
+0.0414814
+0.042734
+0.0440599
+0.0454015
+0.046801
+0.0482594
+0.0497539
+0.0494749
+0.0492872
+0.0491267
+0.0490577
+0.0490865
+0.0492128
+0.0494361
+0.0497548
+0.0501673
+0.0506712
+0.0512639
+0.0519417
+0.0738321
+0.0733406
+0.0728615
+0.0719693
+0.0702666
+0.0685917
+0.0669465
+0.0653334
+0.0637547
+0.0622131
+0.0607114
+0.0592527
+0.0578402
+0.0564774
+0.0551679
+0.0539153
+0.0527114
+0.0515721
+0.0505021
+0.049506
+0.0479174
+0.0462712
+0.044671
+0.0431228
+0.0416323
+0.0402059
+0.0388508
+0.0375745
+0.0363856
+0.0352927
+0.0343033
+0.0334047
+0.0326263
+0.0319792
+0.0314717
+0.0311104
+0.0309007
+0.0308454
+0.0309246
+0.0311489
+0.0315204
+0.0320341
+0.0326868
+0.0334704
+0.0343644
+0.0353635
+0.036467
+0.0376657
+0.0362097
+0.0345625
+0.0329787
+0.0314677
+0.0300192
+0.028655
+0.0273983
+0.0262598
+0.0252531
+0.024402
+0.0237073
+0.0231889
+0.0228695
+0.0227284
+0.0227862
+0.023053
+0.0235058
+0.0241266
+0.0249251
+0.0254529
+0.0259025
+0.0265
+0.0272543
+0.0281572
+0.0291789
+0.030309
+0.0315499
+0.0328901
+0.0343179
+0.035809
+0.0373602
+0.0389729
+0.0406397
+0.0421403
+0.0433738
+0.0446746
+0.0460043
+0.047386
+0.0488269
+0.0503024
+0.0500159
+0.0497556
+0.0495908
+0.0495224
+0.0495509
+0.0496761
+0.0498973
+0.0502131
+0.0506219
+0.0511213
+0.0517088
+0.0523567
+0.074531
+0.0740441
+0.0736161
+0.0732329
+0.0716452
+0.0700032
+0.068392
+0.0668138
+0.0652709
+0.063766
+0.0623018
+0.0608812
+0.0595073
+0.0581835
+0.0569133
+0.0556916
+0.0545266
+0.0534259
+0.0523938
+0.0509779
+0.0493359
+0.0477379
+0.0461885
+0.0446928
+0.0432565
+0.0418854
+0.0405864
+0.0393665
+0.0382333
+0.0371947
+0.0362466
+0.0353974
+0.0346637
+0.0340554
+0.0335792
+0.0332409
+0.0330447
+0.032993
+0.0330658
+0.0332757
+0.0336249
+0.0341069
+0.0347207
+0.0354594
+0.036313
+0.0372599
+0.0383088
+0.0385744
+0.0369027
+0.0352879
+0.0337363
+0.0322541
+0.0308382
+0.0295119
+0.0282933
+0.0271923
+0.0262214
+0.0253934
+0.0247168
+0.02422
+0.0239144
+0.0237996
+0.0238549
+0.0241099
+0.0245367
+0.025132
+0.0258995
+0.0266088
+0.0272454
+0.0278276
+0.0285468
+0.02941
+0.0304068
+0.0315057
+0.0327013
+0.0339961
+0.0353793
+0.0368409
+0.0383617
+0.039934
+0.0415623
+0.0428475
+0.0440683
+0.0453109
+0.0466233
+0.0479999
+0.0494163
+0.0508852
+0.0505645
+0.050307
+0.050144
+0.0500764
+0.0501046
+0.0502152
+0.0504156
+0.0507099
+0.0510965
+0.0515733
+0.0521059
+0.0527207
+0.0752871
+0.0748052
+0.0743815
+0.074011
+0.0730634
+0.071454
+0.0698763
+0.0683323
+0.0668245
+0.0653554
+0.0639276
+0.0625439
+0.0612074
+0.0599212
+0.058684
+0.0574961
+0.0563684
+0.0553044
+0.0540421
+0.0524044
+0.0508085
+0.0492583
+0.0477583
+0.0463133
+0.0449288
+0.0436104
+0.0423643
+0.041197
+0.0401156
+0.0391257
+0.0382167
+0.0374122
+0.0367188
+0.0361451
+0.0356968
+0.0353788
+0.0351944
+0.035146
+0.0352131
+0.0354103
+0.0357398
+0.0361936
+0.0367726
+0.0374709
+0.038282
+0.039187
+0.0401856
+0.0393477
+0.0377093
+0.0361246
+0.0346061
+0.0331628
+0.0317874
+0.0305024
+0.029325
+0.0282642
+0.0273279
+0.02652
+0.0258728
+0.0253987
+0.0251074
+0.0249835
+0.0250361
+0.0252792
+0.0257074
+0.026281
+0.0270159
+0.0277033
+0.0283471
+0.0290282
+0.0298109
+0.0307293
+0.0317222
+0.0327951
+0.0339551
+0.0352038
+0.0365413
+0.0379582
+0.0394459
+0.0409897
+0.0424964
+0.043586
+0.0444885
+0.0454788
+0.0465512
+0.0477001
+0.0489202
+0.0502063
+0.0509853
+0.05073
+0.0505684
+0.0505013
+0.0505161
+0.0506206
+0.0508194
+0.0511113
+0.0514949
+0.0519681
+0.0525285
+0.0531426
+0.0760988
+0.075622
+0.075203
+0.0748365
+0.074519
+0.0729418
+0.0713969
+0.0698866
+0.068413
+0.0669788
+0.0655863
+0.0642384
+0.0629379
+0.0616868
+0.0604786
+0.0593266
+0.0582343
+0.0571098
+0.0554763
+0.0538822
+0.0523314
+0.0508276
+0.0493753
+0.0479791
+0.046644
+0.0453755
+0.0441792
+0.0430612
+0.0420277
+0.0410746
+0.0402096
+0.0394457
+0.0387887
+0.0382461
+0.0378227
+0.0375227
+0.0373489
+0.0373033
+0.0373654
+0.0375513
+0.0378633
+0.038292
+0.0388397
+0.0395014
+0.0402716
+0.0411405
+0.0417211
+0.0402198
+0.0386139
+0.0370679
+0.0355896
+0.0341879
+0.0328554
+0.0316139
+0.0304794
+0.0294602
+0.0285464
+0.0277739
+0.0271566
+0.0267053
+0.0264258
+0.0262937
+0.0263437
+0.0265748
+0.0269824
+0.0275564
+0.0282582
+0.0289225
+0.0295398
+0.030194
+0.0309472
+0.0318329
+0.032841
+0.0339605
+0.0351673
+0.0364537
+0.0377947
+0.0391663
+0.0399268
+0.0405672
+0.041314
+0.0421552
+0.0430878
+0.0441095
+0.0452144
+0.0463964
+0.0476499
+0.0489694
+0.0503496
+0.0512389
+0.0510789
+0.0510038
+0.0510133
+0.0511167
+0.0513136
+0.0516028
+0.0519827
+0.0524515
+0.0530068
+0.0536458
+0.0769643
+0.0764929
+0.0760787
+0.0757164
+0.0754161
+0.0744643
+0.0729516
+0.0714742
+0.0700341
+0.0686337
+0.0672755
+0.0659621
+0.0646962
+0.0634721
+0.0622985
+0.0611808
+0.0601222
+0.0585509
+0.0569586
+0.0554073
+0.0539003
+0.0524416
+0.0510352
+0.0496856
+0.0483977
+0.0471763
+0.0460268
+0.0449548
+0.0439649
+0.0430467
+0.0422221
+0.0414953
+0.0408713
+0.0403566
+0.0399556
+0.0396717
+0.0395074
+0.0394643
+0.0395219
+0.0396977
+0.039993
+0.0404001
+0.0409196
+0.0415483
+0.0422812
+0.0431131
+0.042435
+0.0411075
+0.0396191
+0.0381138
+0.0366778
+0.0353192
+0.034029
+0.0328319
+0.031741
+0.0307397
+0.0298635
+0.029126
+0.0285379
+0.0281088
+0.0278407
+0.0277153
+0.0277628
+0.0279822
+0.0283696
+0.0289182
+0.0296107
+0.0302515
+0.0308421
+0.0314693
+0.0321927
+0.033045
+0.0340172
+0.0350992
+0.0362696
+0.0371652
+0.0374924
+0.0379327
+0.0384866
+0.0391551
+0.039926
+0.040792
+0.041755
+0.0428085
+0.0439461
+0.0451614
+0.0464482
+0.0478009
+0.0492106
+0.0506685
+0.0516456
+0.05158
+0.0515987
+0.051701
+0.0518956
+0.0521816
+0.0525574
+0.0530211
+0.0535178
+0.0540478
+0.0778818
+0.0774161
+0.0770068
+0.0766489
+0.0763522
+0.0760194
+0.0745383
+0.0730929
+0.0716854
+0.0703179
+0.0689928
+0.0677128
+0.0664753
+0.0652821
+0.0641416
+0.0630566
+0.0616278
+0.0600372
+0.0584855
+0.0569757
+0.0555113
+0.0540961
+0.0527338
+0.0514289
+0.0501857
+0.0490089
+0.0479034
+0.0468743
+0.0459175
+0.045039
+0.0442515
+0.0435586
+0.0429645
+0.0424753
+0.0420945
+0.0418251
+0.0416693
+0.0416283
+0.041682
+0.0418488
+0.0421289
+0.0425166
+0.0430105
+0.0436091
+0.0443079
+0.0446111
+0.0432481
+0.0419464
+0.0407174
+0.0392543
+0.0378608
+0.0365276
+0.0352793
+0.0341261
+0.0330756
+0.032114
+0.0312763
+0.0305729
+0.0300132
+0.0296055
+0.029351
+0.0292321
+0.0292771
+0.0294853
+0.0298532
+0.030375
+0.0309911
+0.0316217
+0.0322353
+0.0328413
+0.0335352
+0.0343542
+0.0351522
+0.035464
+0.0355375
+0.0357362
+0.0360672
+0.0365247
+0.0370996
+0.0377929
+0.0385941
+0.0394892
+0.0404832
+0.041569
+0.0427396
+0.0439882
+0.0453084
+0.0466941
+0.0481336
+0.0496232
+0.0511632
+0.0522333
+0.0522603
+0.0523705
+0.0525626
+0.0528143
+0.0531333
+0.0535175
+0.0539587
+0.0544845
+0.0788496
+0.0783895
+0.0779854
+0.077632
+0.0773391
+0.0771073
+0.076155
+0.0747409
+0.0733649
+0.0720293
+0.0707364
+0.0694867
+0.0682759
+0.0671148
+0.0660059
+0.0647068
+0.0631178
+0.0615657
+0.0600535
+0.0585841
+0.057161
+0.0557875
+0.0544676
+0.0532052
+0.0520045
+0.0508698
+0.0498057
+0.048816
+0.0478906
+0.0470489
+0.0462957
+0.0456338
+0.0450671
+0.0446009
+0.0442384
+0.0439821
+0.043834
+0.0437951
+0.0438452
+0.0440037
+0.0442702
+0.0446402
+0.0451109
+0.0456819
+0.0463496
+0.0454742
+0.0441394
+0.0428748
+0.0416264
+0.0401993
+0.0388435
+0.0375665
+0.0363768
+0.0352831
+0.0342946
+0.0334107
+0.0326348
+0.0319903
+0.0314854
+0.0311269
+0.0309197
+0.0308301
+0.0308728
+0.0310361
+0.0312968
+0.0317072
+0.0322473
+0.0324378
+0.0324218
+0.0325536
+0.0328313
+0.0332513
+0.0337979
+0.0341044
+0.0341713
+0.0343779
+0.0347218
+0.0351968
+0.035793
+0.0365112
+0.0373398
+0.0382643
+0.0392894
+0.0404073
+0.0416105
+0.042892
+0.0442449
+0.0456629
+0.0471339
+0.0486541
+0.0502238
+0.0518386
+0.0529105
+0.0529752
+0.053124
+0.0533512
+0.0536208
+0.0539723
+0.0544098
+0.0549312
+0.0798657
+0.0794115
+0.0790126
+0.0786638
+0.0783748
+0.0781461
+0.0777998
+0.0764161
+0.0750709
+0.0737661
+0.0725042
+0.0712787
+0.0700988
+0.0689683
+0.0677875
+0.0662
+0.0646476
+0.0631332
+0.0616594
+0.0602292
+0.0588459
+0.0575127
+0.0562333
+0.0550115
+0.053851
+0.0527561
+0.0517307
+0.0507712
+0.0498819
+0.0490743
+0.0483526
+0.0477193
+0.0471777
+0.0467325
+0.0463867
+0.0461424
+0.0460012
+0.0459638
+0.0460109
+0.046162
+0.0464162
+0.0467701
+0.0472195
+0.0477654
+0.0477926
+0.0464211
+0.0451143
+0.0438778
+0.0424625
+0.0410645
+0.0397382
+0.0384909
+0.0373306
+0.0362657
+0.0353047
+0.0344372
+0.0336849
+0.033061
+0.0325727
+0.0322262
+0.0320262
+0.0319751
+0.0320467
+0.0322657
+0.0319959
+0.0315557
+0.0312631
+0.0311052
+0.0310884
+0.0312257
+0.0315151
+0.0319524
+0.0325176
+0.0328248
+0.0328943
+0.0331089
+0.0334658
+0.0339584
+0.034576
+0.0353189
+0.03617
+0.0371237
+0.0381793
+0.0393288
+0.0405641
+0.0418776
+0.0432559
+0.0446976
+0.0461983
+0.0477523
+0.0493547
+0.0510008
+0.0526812
+0.0535934
+0.0536837
+0.0538568
+0.0541182
+0.0544665
+0.0549001
+0.0554169
+0.0809146
+0.080478
+0.0800866
+0.0797425
+0.0794574
+0.0792318
+0.0790664
+0.0781168
+0.0768014
+0.0755266
+0.0742892
+0.0730923
+0.0719422
+0.0708411
+0.0692835
+0.0677311
+0.0662147
+0.0647369
+0.0633004
+0.0619082
+0.0605632
+0.0592687
+0.058028
+0.0568447
+0.0557225
+0.054665
+0.0536757
+0.0527446
+0.0518892
+0.0511134
+0.0504209
+0.0498138
+0.0492952
+0.0488694
+0.0485387
+0.0483053
+0.0481705
+0.0481339
+0.0481789
+0.0483232
+0.0485661
+0.0489053
+0.0493353
+0.049858
+0.0487928
+0.0474502
+0.0461726
+0.0448253
+0.0433931
+0.0420261
+0.0407311
+0.0395152
+0.0383859
+0.0373511
+0.0364042
+0.0355587
+0.0348306
+0.0342276
+0.0337561
+0.0334219
+0.0332291
+0.0329952
+0.0321279
+0.0313898
+0.0307861
+0.0303284
+0.0300239
+0.0298645
+0.0298471
+0.0299901
+0.0302912
+0.0307406
+0.0313265
+0.0316236
+0.0316958
+0.0319184
+0.0322885
+0.0328011
+0.0334495
+0.034213
+0.0350832
+0.0360656
+0.0371513
+0.0383316
+0.039598
+0.0409385
+0.0423459
+0.0438176
+0.0453474
+0.0469296
+0.0485591
+0.0502313
+0.0519366
+0.053409
+0.0541748
+0.0543464
+0.0546055
+0.0549438
+0.0553569
+0.0558528
+0.0819883
+0.0815574
+0.0811833
+0.0808662
+0.080585
+0.0803626
+0.0801995
+0.0798414
+0.0785549
+0.0773067
+0.0760942
+0.0749261
+0.0738045
+0.0723684
+0.0708157
+0.0692976
+0.0678162
+0.0663741
+0.0649739
+0.0636183
+0.0623102
+0.0610527
+0.0598491
+0.0587025
+0.0576164
+0.0565944
+0.0556326
+0.0547347
+0.0539108
+0.0531645
+0.052499
+0.0519163
+0.0514189
+0.0510108
+0.0506941
+0.0504707
+0.0503416
+0.0503059
+0.0503489
+0.050487
+0.0507195
+0.051045
+0.0514573
+0.0512422
+0.0498693
+0.0485565
+0.0472714
+0.0458128
+0.0444125
+0.0430778
+0.0418154
+0.040632
+0.0395346
+0.0385201
+0.0375947
+0.0367766
+0.0360731
+0.0354911
+0.0348904
+0.0340892
+0.0329842
+0.0319725
+0.0310767
+0.030313
+0.0296889
+0.029214
+0.0288978
+0.0287375
+0.0287194
+0.0288679
+0.0291807
+0.0296401
+0.0302474
+0.0305246
+0.0305993
+0.0308299
+0.0312129
+0.0317428
+0.0324124
+0.0331999
+0.0340959
+0.0351059
+0.0362204
+0.0374301
+0.038726
+0.0400957
+0.0415316
+0.0430311
+0.0445879
+0.0461962
+0.0478507
+0.0495468
+0.0512745
+0.0527642
+0.0542956
+0.0548431
+0.0550998
+0.0554419
+0.0558568
+0.0563483
+0.0831058
+0.0826807
+0.0823118
+0.0819888
+0.0817115
+0.0814922
+0.0813313
+0.0812292
+0.0803298
+0.0791035
+0.0779189
+0.0767786
+0.0754543
+0.0739016
+0.0723818
+0.0708972
+0.06945
+0.0680425
+0.0666773
+0.0653571
+0.0640845
+0.0628625
+0.0616942
+0.0605825
+0.0595308
+0.0585418
+0.0576062
+0.0567395
+0.0559451
+0.0552263
+0.054586
+0.0540258
+0.053548
+0.0531562
+0.0528524
+0.0526381
+0.0525144
+0.0524793
+0.0525206
+0.052653
+0.0528759
+0.0531883
+0.0535849
+0.05236
+0.0510172
+0.0497347
+0.0483082
+0.0468819
+0.0455145
+0.0442131
+0.0429841
+0.0418337
+0.0404969
+0.0392131
+0.037997
+0.0368623
+0.0358257
+0.034896
+0.0340819
+0.0332429
+0.0321082
+0.0310708
+0.0301482
+0.0293604
+0.0287168
+0.0282255
+0.027898
+0.027738
+0.0277192
+0.0278731
+0.0281944
+0.0286652
+0.0292927
+0.0295474
+0.0296246
+0.0298627
+0.0302579
+0.0308043
+0.0314854
+0.0322902
+0.0332203
+0.0342596
+0.0354008
+0.0366375
+0.0379605
+0.0393568
+0.0408187
+0.0423435
+0.0439247
+0.0455563
+0.0472333
+0.0489508
+0.0506814
+0.0521872
+0.0537351
+0.0553264
+0.0556759
+0.0560146
+0.0564252
+0.0569119
+0.0842647
+0.0838409
+0.0834659
+0.0831417
+0.0828683
+0.082652
+0.0824934
+0.0823927
+0.0821193
+0.0809196
+0.079762
+0.0785412
+0.0769884
+0.0754672
+0.0739796
+0.0725277
+0.0711137
+0.0697398
+0.0684085
+0.0671223
+0.0658838
+0.0646959
+0.0635612
+0.0624828
+0.0614636
+0.0605001
+0.0595949
+0.0587575
+0.0579908
+0.0572977
+0.0566808
+0.0561415
+0.0556818
+0.0553052
+0.0550133
+0.0548074
+0.0546886
+0.0546542
+0.0546938
+0.0548209
+0.0550351
+0.0553352
+0.0549125
+0.0535441
+0.0522318
+0.050789
+0.0490918
+0.0474351
+0.0458232
+0.0442611
+0.0427542
+0.0413086
+0.0399309
+0.0386151
+0.0373709
+0.0362165
+0.0351609
+0.0342131
+0.0333824
+0.0324959
+0.0313342
+0.0302848
+0.0293328
+0.0285173
+0.0278507
+0.0273437
+0.0270055
+0.0268424
+0.0268259
+0.0269849
+0.0273192
+0.0278225
+0.0284748
+0.0286933
+0.0287728
+0.0290179
+0.0294245
+0.0299773
+0.0306655
+0.0314913
+0.0324443
+0.0335135
+0.0346807
+0.0359422
+0.0372899
+0.0387146
+0.0402083
+0.0417596
+0.0433621
+0.0450142
+0.0467106
+0.0484466
+0.0501762
+0.0516967
+0.0532588
+0.0548639
+0.0563315
+0.0566662
+0.0570721
+0.0575533
+0.0854494
+0.0850251
+0.0846554
+0.0843357
+0.0840662
+0.0838531
+0.0836967
+0.0835975
+0.0835556
+0.0827539
+0.0816224
+0.080076
+0.0785536
+0.0770633
+0.0756072
+0.0741871
+0.0728053
+0.0714639
+0.0701654
+0.0689119
+0.0677062
+0.0665508
+0.0654483
+0.0644015
+0.0634129
+0.0624735
+0.0615974
+0.0607876
+0.0600468
+0.0593777
+0.0587826
+0.0582628
+0.05782
+0.0574573
+0.0571764
+0.0569784
+0.0568641
+0.0568302
+0.0568683
+0.0569906
+0.0571967
+0.0574855
+0.055765
+0.0539576
+0.0521796
+0.0504341
+0.0487245
+0.0470549
+0.0454295
+0.0438534
+0.042332
+0.0408714
+0.0394674
+0.0381252
+0.0368645
+0.0356937
+0.0346222
+0.0336593
+0.0328146
+0.0318823
+0.0306973
+0.0296253
+0.0286515
+0.027816
+0.0271321
+0.0266115
+0.0262639
+0.0260961
+0.0260792
+0.0262427
+0.0265863
+0.0271032
+0.0277837
+0.0279633
+0.0280448
+0.0282962
+0.028713
+0.0292793
+0.0299835
+0.0308276
+0.0317957
+0.0328764
+0.034064
+0.0353475
+0.036717
+0.0381632
+0.0396776
+0.0412529
+0.042881
+0.044556
+0.0462741
+0.0480306
+0.0497623
+0.0512951
+0.0528691
+0.0544857
+0.0561412
+0.057394
+0.0577949
+0.0582701
+0.0866671
+0.0862488
+0.0858843
+0.0855692
+0.0853036
+0.0850936
+0.0849395
+0.0848417
+0.0848005
+0.0846052
+0.0831645
+0.0816408
+0.0801481
+0.078688
+0.0772625
+0.0758735
+0.0745229
+0.073213
+0.071946
+0.0707242
+0.0695499
+0.0684256
+0.0673538
+0.0663371
+0.0653722
+0.064461
+0.0636122
+0.0628284
+0.062112
+0.0614653
+0.0608907
+0.060389
+0.0599619
+0.0596123
+0.0593415
+0.0591508
+0.0590407
+0.0590074
+0.0590441
+0.0591619
+0.0592232
+0.0573592
+0.0555191
+0.053705
+0.0519185
+0.050164
+0.048445
+0.0467654
+0.0451298
+0.0435429
+0.0420103
+0.0405383
+0.0391111
+0.0377563
+0.0364828
+0.0352994
+0.0342155
+0.0332408
+0.0323852
+0.0314097
+0.0302062
+0.0291162
+0.0281247
+0.0272731
+0.0265752
+0.0260435
+0.0256882
+0.0255167
+0.0254993
+0.0256665
+0.0260177
+0.0265457
+0.0272401
+0.0273895
+0.0274727
+0.0277293
+0.0281545
+0.0287318
+0.0294419
+0.0302907
+0.0312702
+0.0323685
+0.033574
+0.0348756
+0.0362629
+0.0377265
+0.0392562
+0.0408449
+0.0424872
+0.0441771
+0.0459093
+0.0476793
+0.0494422
+0.0509846
+0.0525678
+0.0541934
+0.0558576
+0.0575571
+0.0585907
+0.0590595
+0.0879224
+0.0875101
+0.087151
+0.0868405
+0.0865787
+0.0863718
+0.08622
+0.0861237
+0.0860831
+0.0860982
+0.0847289
+0.0832339
+0.0817702
+0.0803396
+0.0789439
+0.077585
+0.0762648
+0.0749853
+0.0737488
+0.0725573
+0.0714132
+0.0703187
+0.0692762
+0.0682879
+0.0673454
+0.0664612
+0.0656383
+0.064879
+0.0641854
+0.0635599
+0.0630044
+0.0625196
+0.0621072
+0.0617697
+0.0615085
+0.0613244
+0.0612183
+0.0611855
+0.0612208
+0.0609577
+0.0590672
+0.0571981
+0.0553527
+0.053533
+0.0517405
+0.0499797
+0.0482541
+0.0465677
+0.0449249
+0.0433305
+0.0417901
+0.04031
+0.0388752
+0.0375119
+0.0362298
+0.0350379
+0.0339456
+0.0329629
+0.0320999
+0.0310847
+0.0298682
+0.0287653
+0.0277612
+0.0268982
+0.0261903
+0.0256506
+0.0252898
+0.0251155
+0.0250979
+0.0252677
+0.0256245
+0.0261604
+0.0268648
+0.0269684
+0.027053
+0.0273135
+0.0277451
+0.0283144
+0.0290311
+0.0298916
+0.0308837
+0.0319953
+0.0332144
+0.0345295
+0.0359302
+0.0374068
+0.038949
+0.0405498
+0.0422035
+0.0439044
+0.045647
+0.0474267
+0.0492175
+0.0507668
+0.0523566
+0.0539885
+0.0556589
+0.0573642
+0.0591016
+0.0597676
+0.089214
+0.0888076
+0.0884537
+0.0881474
+0.0878895
+0.0876856
+0.0875361
+0.0874412
+0.0874012
+0.087416
+0.0863205
+0.0848536
+0.0834183
+0.0820165
+0.0806498
+0.0793201
+0.0780293
+0.0767792
+0.075572
+0.0744098
+0.0732945
+0.0722286
+0.071214
+0.070248
+0.0693316
+0.0684731
+0.0676747
+0.0669385
+0.0662665
+0.0656608
+0.0651231
+0.0646543
+0.0642556
+0.0639294
+0.0636771
+0.0634993
+0.0633968
+0.0633645
+0.0627972
+0.060885
+0.0589922
+0.0571207
+0.0552726
+0.0534502
+0.0516548
+0.049891
+0.0481623
+0.0464726
+0.0448262
+0.0432282
+0.0416841
+0.0401879
+0.0387499
+0.0373851
+0.0361017
+0.0349087
+0.0338126
+0.0328255
+0.0319583
+0.0309119
+0.0296883
+0.0285776
+0.0275664
+0.026697
+0.0259837
+0.0254396
+0.0250757
+0.0248921
+0.0248712
+0.0250426
+0.0254025
+0.025943
+0.0266531
+0.0266997
+0.0267851
+0.0270482
+0.0274839
+0.0280585
+0.0287816
+0.0296493
+0.0306493
+0.0317691
+0.0329965
+0.03432
+0.0357289
+0.0372135
+0.0387634
+0.0403715
+0.0420323
+0.0437398
+0.0454887
+0.0472744
+0.0490897
+0.0506428
+0.0522365
+0.053872
+0.0555459
+0.0572546
+0.0589952
+0.0604967
+0.0903224
+0.0900553
+0.0897858
+0.0894791
+0.089225
+0.0890242
+0.088877
+0.0887835
+0.0887441
+0.0887587
+0.0879379
+0.0864984
+0.0850909
+0.0837171
+0.0823787
+0.0810773
+0.0798149
+0.0785933
+0.0774143
+0.0762801
+0.0751927
+0.074154
+0.0731661
+0.0722208
+0.0713299
+0.0704957
+0.0697204
+0.069006
+0.0683544
+0.0677673
+0.0672465
+0.0667926
+0.0664067
+0.0660912
+0.0658471
+0.0656752
+0.0655761
+0.0647327
+0.0628031
+0.0608911
+0.0589985
+0.0571272
+0.0552794
+0.0534572
+0.051662
+0.0498985
+0.04817
+0.0464806
+0.0448345
+0.0432368
+0.041678
+0.040174
+0.0387355
+0.0373702
+0.0360863
+0.0348928
+0.0337962
+0.0328085
+0.0319409
+0.0308918
+0.0296651
+0.0285256
+0.0275125
+0.0266413
+0.0259265
+0.0253812
+0.0250164
+0.0248325
+0.0248115
+0.0249833
+0.025344
+0.0258857
+0.0265974
+0.0266092
+0.0266948
+0.0269588
+0.027396
+0.0279724
+0.0286977
+0.0295678
+0.0305705
+0.0316931
+0.0329233
+0.0342496
+0.0356613
+0.0371486
+0.0387011
+0.0403117
+0.0419749
+0.0436846
+0.0454356
+0.0472234
+0.0490438
+0.0506075
+0.0522019
+0.0538383
+0.055513
+0.0572224
+0.0589638
+0.0607342
+0.0914314
+0.0911675
+0.0909555
+0.090796
+0.0905939
+0.0903961
+0.090251
+0.090159
+0.0901202
+0.0901346
+0.0895797
+0.088167
+0.0867866
+0.08544
+0.084129
+0.0828552
+0.0816202
+0.080426
+0.0792744
+0.0781672
+0.0771063
+0.0760938
+0.0751267
+0.0742059
+0.0733391
+0.072528
+0.0717747
+0.0710809
+0.0704485
+0.069879
+0.0693741
+0.0689342
+0.0685603
+0.0682548
+0.0680185
+0.0678521
+0.066753
+0.0648084
+0.06288
+0.0609693
+0.0590781
+0.0572082
+0.0553618
+0.0535415
+0.0517498
+0.0499899
+0.0482653
+0.0465799
+0.0449381
+0.0433387
+0.0417797
+0.0402794
+0.0388449
+0.0374835
+0.0362036
+0.0350141
+0.0339214
+0.0329376
+0.0320734
+0.030999
+0.0297766
+0.0286416
+0.0276327
+0.0267655
+0.0260541
+0.0255115
+0.0251486
+0.0249656
+0.0249447
+0.0251156
+0.0254745
+0.0260135
+0.0267217
+0.0266883
+0.0267737
+0.0270369
+0.0274729
+0.0280576
+0.0287807
+0.0296484
+0.0306484
+0.0317683
+0.0329957
+0.0343192
+0.0357282
+0.0372128
+0.0387627
+0.0403709
+0.0420317
+0.0437392
+0.0454881
+0.0472739
+0.0490925
+0.0506546
+0.0522476
+0.0538827
+0.0555559
+0.0572641
+0.0590042
+0.0607735
+0.0925725
+0.0923118
+0.0921025
+0.091945
+0.0918321
+0.0917686
+0.0916569
+0.0915663
+0.0915281
+0.0915422
+0.0912446
+0.089858
+0.088504
+0.087184
+0.0858996
+0.0846524
+0.083444
+0.0822763
+0.0811509
+0.0800697
+0.0790344
+0.0780468
+0.0770992
+0.0762023
+0.0753584
+0.0745693
+0.0738368
+0.0731626
+0.0725483
+0.0719955
+0.0715055
+0.0710788
+0.0707163
+0.0704201
+0.070191
+0.0688438
+0.0668883
+0.0649477
+0.0630235
+0.0611173
+0.0592308
+0.0573659
+0.0555248
+0.05371
+0.0519241
+0.0501704
+0.0484522
+0.0467735
+0.0451388
+0.0435468
+0.0419955
+0.0405033
+0.0390769
+0.037724
+0.0364525
+0.0352714
+0.0341869
+0.0332109
+0.0323541
+0.0312597
+0.0300479
+0.0289235
+0.0279248
+0.027067
+0.0263637
+0.0258276
+0.0254692
+0.0252885
+0.0252679
+0.0254367
+0.025791
+0.0263236
+0.027015
+0.0269217
+0.0270064
+0.0272674
+0.0276997
+0.0282829
+0.0290004
+0.0298618
+0.0308549
+0.0319675
+0.0331876
+0.0345037
+0.0359054
+0.037383
+0.0389278
+0.0405322
+0.0421894
+0.0438933
+0.0456389
+0.0474213
+0.0492368
+0.0507963
+0.052385
+0.0540158
+0.0556851
+0.0573895
+0.0591259
+0.0608916
+0.0937474
+0.09349
+0.0932833
+0.0931278
+0.093018
+0.0929553
+0.0929442
+0.0929848
+0.0929662
+0.0929802
+0.0929312
+0.0915702
+0.0902419
+0.0889477
+0.0876891
+0.0864677
+0.0852851
+0.0841429
+0.0830428
+0.0819865
+0.0809757
+0.0800078
+0.0790832
+0.0782091
+0.077387
+0.0766189
+0.0759062
+0.0752505
+0.0746534
+0.0741162
+0.0736404
+0.0732261
+0.0728743
+0.0725869
+0.0710083
+0.0690445
+0.0670948
+0.0651604
+0.0632427
+0.0613433
+0.059464
+0.0576066
+0.0557734
+0.053967
+0.0521899
+0.0504454
+0.0487369
+0.0470684
+0.0454443
+0.0438635
+0.0423238
+0.0408436
+0.0394295
+0.0380866
+0.0368241
+0.0356516
+0.0345783
+0.0336136
+0.0327673
+0.0316701
+0.0304747
+0.0293666
+0.0283835
+0.0275399
+0.026849
+0.0263228
+0.0259713
+0.0257941
+0.0257739
+0.0259394
+0.026287
+0.0268096
+0.0274212
+0.0273293
+0.0274127
+0.0276699
+0.028096
+0.0286621
+0.0293703
+0.0302211
+0.0312028
+0.0323034
+0.0335113
+0.0348152
+0.0362048
+0.0376706
+0.0392041
+0.0407977
+0.0424445
+0.0441386
+0.0458748
+0.0476484
+0.0494555
+0.0510317
+0.0526133
+0.0542373
+0.0558999
+0.0575979
+0.0593282
+0.0610881
+0.0949583
+0.0947041
+0.0945001
+0.0943466
+0.09424
+0.0941781
+0.0941671
+0.0942071
+0.094298
+0.0944397
+0.0945116
+0.0933025
+0.0919991
+0.09073
+0.0894965
+0.0883001
+0.0871424
+0.0860248
+0.0849491
+0.0839168
+0.0829295
+0.08198
+0.0810779
+0.0802254
+0.0794243
+0.078676
+0.0779821
+0.0773441
+0.0767632
+0.0762409
+0.0757784
+0.0753759
+0.0750341
+0.0732398
+0.0712702
+0.0693139
+0.067372
+0.0654458
+0.0635367
+0.0616463
+0.0597765
+0.0579292
+0.0561066
+0.0543112
+0.0525458
+0.0508135
+0.0491178
+0.0474627
+0.0458525
+0.0442863
+0.0427587
+0.0412909
+0.0398894
+0.0385615
+0.0373151
+0.0361586
+0.0351008
+0.0341509
+0.0333182
+0.0322245
+0.0310504
+0.0299637
+0.0290009
+0.0281758
+0.0275008
+0.0269873
+0.0266446
+0.0264719
+0.0264522
+0.0266135
+0.0269524
+0.0274624
+0.0279934
+0.0279034
+0.0279851
+0.0282371
+0.0286547
+0.0292011
+0.0298966
+0.0307328
+0.0316986
+0.0327826
+0.0339734
+0.0352602
+0.036633
+0.0380823
+0.0395999
+0.0411781
+0.0428103
+0.0444905
+0.0462135
+0.0479746
+0.0497699
+0.0513595
+0.0529313
+0.0545458
+0.0561994
+0.0578886
+0.0596105
+0.0613622
+0.0962038
+0.095953
+0.0957516
+0.0956001
+0.0954965
+0.0954355
+0.0954247
+0.0954641
+0.0955538
+0.0956936
+0.0958833
+0.0950536
+0.0937746
+0.0925298
+0.0913206
+0.0901485
+0.0890148
+0.0879211
+0.0868688
+0.0858596
+0.084891
+0.083963
+0.0830824
+0.0822508
+0.0814695
+0.0807402
+0.0800642
+0.0794429
+0.0788775
+0.0783693
+0.0779194
+0.0775177
+0.0755326
+0.0735591
+0.0715983
+0.0696511
+0.0677189
+0.0658028
+0.0639044
+0.0620253
+0.0601673
+0.0583323
+0.0565227
+0.0547406
+0.052989
+0.0512711
+0.0495905
+0.0479511
+0.0463573
+0.0448027
+0.0432933
+0.0418443
+0.040462
+0.0391535
+0.0379265
+0.0367892
+0.0357501
+0.0348179
+0.0340016
+0.0329157
+0.0317672
+0.0307058
+0.029767
+0.0289637
+0.0283076
+0.027809
+0.0274765
+0.0273091
+0.02729
+0.0274463
+0.0277751
+0.0282702
+0.0287171
+0.0286294
+0.028709
+0.0289546
+0.0293595
+0.0298913
+0.0305711
+0.0313893
+0.0323356
+0.0333989
+0.0345685
+0.035834
+0.0371855
+0.0386141
+0.0401116
+0.0416704
+0.043284
+0.0449465
+0.0466527
+0.0483978
+0.050178
+0.0517781
+0.0533375
+0.0549401
+0.0565821
+0.0582602
+0.0599714
+0.0617129
+0.0974826
+0.0972351
+0.0970364
+0.0968869
+0.0967863
+0.0967261
+0.0967155
+0.0967544
+0.0968429
+0.0969808
+0.097168
+0.0968227
+0.0955673
+0.0943462
+0.0931606
+0.0920119
+0.0909014
+0.0898307
+0.0888011
+0.0878141
+0.0868628
+0.0859561
+0.0850961
+0.0842843
+0.0835221
+0.0828109
+0.0821519
+0.0815465
+0.0809958
+0.080501
+0.0798679
+0.0778811
+0.0759054
+0.0739419
+0.0719915
+0.070055
+0.0681337
+0.0662293
+0.064343
+0.0624766
+0.0606319
+0.058811
+0.0570161
+0.0552497
+0.0535147
+0.0518143
+0.0501519
+0.0485315
+0.0469574
+0.045419
+0.0439308
+0.0425035
+0.0411433
+0.0398573
+0.0386526
+0.0375373
+0.0365195
+0.0356075
+0.0348096
+0.0337352
+0.0326156
+0.0315827
+0.0306707
+0.0298918
+0.0292565
+0.0287743
+0.0284531
+0.0282915
+0.0282731
+0.028424
+0.0287415
+0.0292203
+0.0295626
+0.0294774
+0.0295548
+0.0297934
+0.0301896
+0.0307225
+0.0313843
+0.0321819
+0.0331055
+0.0341448
+0.0352897
+0.0365302
+0.0378569
+0.0392611
+0.0407348
+0.0422707
+0.0438622
+0.0455036
+0.0471896
+0.0489156
+0.0506775
+0.0522851
+0.0538299
+0.0554182
+0.0570465
+0.0587113
+0.0604097
+0.062139
+0.0987935
+0.0985493
+0.0983533
+0.0982057
+0.0981069
+0.0980485
+0.098038
+0.0980764
+0.0981638
+0.0982998
+0.0984844
+0.0986086
+0.0973764
+0.0961782
+0.0950154
+0.0938894
+0.0928014
+0.0917529
+0.0907451
+0.0897758
+0.0888448
+0.0879586
+0.0871184
+0.0863256
+0.0855816
+0.0848876
+0.0842449
+0.0836546
+0.0831179
+0.0822666
+0.080279
+0.0783022
+0.0763371
+0.0743846
+0.0724457
+0.0705216
+0.0686134
+0.0667226
+0.0648507
+0.0629994
+0.0611705
+0.0593661
+0.0575884
+0.0558402
+0.0541242
+0.0524435
+0.0508017
+0.0492006
+0.0476423
+0.0461271
+0.0446625
+0.0432594
+0.0419237
+0.0406624
+0.0394823
+0.0383911
+0.0373965
+0.0365064
+0.0357287
+0.034674
+0.0335856
+0.0325832
+0.0316995
+0.0309458
+0.0303317
+0.0298658
+0.0295552
+0.0294006
+0.0293829
+0.0295281
+0.0298339
+0.0302937
+0.0305422
+0.0304597
+0.0305345
+0.0307656
+0.0311494
+0.0316804
+0.0323258
+0.0331008
+0.0339994
+0.0350122
+0.0361296
+0.0373422
+0.0386411
+0.0400177
+0.0414645
+0.0429743
+0.0445407
+0.046158
+0.0478209
+0.0495249
+0.0512659
+0.0528781
+0.054406
+0.055978
+0.0575905
+0.05924
+0.0609237
+0.0626388
+0.100135
+0.0998942
+0.0997008
+0.0995553
+0.0994578
+0.0994002
+0.0993899
+0.0994278
+0.0995139
+0.0996481
+0.0998303
+0.10006
+0.0992008
+0.0980249
+0.0968843
+0.0957802
+0.094714
+0.0936868
+0.0927001
+0.0917473
+0.0908365
+0.0899698
+0.0891486
+0.088374
+0.0876474
+0.0869699
+0.0863427
+0.0857668
+0.0847093
+0.0827224
+0.080746
+0.0787809
+0.076828
+0.0748883
+0.0729628
+0.0710527
+0.0691592
+0.0672838
+0.0654279
+0.0635934
+0.0617821
+0.059996
+0.0582376
+0.0565095
+0.0548144
+0.0531521
+0.051527
+0.0499452
+0.0484108
+0.0469204
+0.0454814
+0.0441043
+0.0427951
+0.0415602
+0.0404063
+0.0393408
+0.0383708
+0.0375038
+0.0367472
+0.0357221
+0.0346438
+0.0336711
+0.0328161
+0.0320881
+0.0314959
+0.0310473
+0.0307487
+0.0305994
+0.0305824
+0.030722
+0.031016
+0.031459
+0.0316433
+0.0315637
+0.0316359
+0.031859
+0.0322298
+0.0327432
+0.0333847
+0.0341356
+0.0350077
+0.0359922
+0.03708
+0.0382625
+0.0395312
+0.0408779
+0.0422953
+0.0437764
+0.0453151
+0.0469057
+0.048543
+0.0502225
+0.0519401
+0.0535542
+0.0550634
+0.0566172
+0.0582119
+0.0598443
+0.0615115
+0.0632106
+0.101506
+0.101269
+0.101078
+0.100934
+0.100838
+0.100781
+0.100771
+0.100809
+0.100894
+0.101026
+0.101206
+0.101432
+0.10104
+0.0998855
+0.0987664
+0.0976836
+0.0966384
+0.0956319
+0.0946621
+0.0937284
+0.0928371
+0.0919893
+0.0911862
+0.0904291
+0.0897191
+0.0890574
+0.088445
+0.0871936
+0.0852083
+0.0832333
+0.0812693
+0.0793172
+0.0773779
+0.0754523
+0.0735416
+0.0716469
+0.0697695
+0.067911
+0.0660727
+0.0642566
+0.0624645
+0.0606986
+0.0589611
+0.0572501
+0.0555722
+0.0539311
+0.0523302
+0.0507734
+0.0492648
+0.0478011
+0.0463894
+0.0450401
+0.0437588
+0.0425519
+0.0414257
+0.040387
+0.0394428
+0.0385999
+0.0378652
+0.0368484
+0.0358016
+0.0348613
+0.0340362
+0.0333348
+0.0327652
+0.0323343
+0.0320476
+0.0319038
+0.0318875
+0.0320214
+0.0323036
+0.0327296
+0.0328537
+0.0327771
+0.0328467
+0.0330616
+0.033419
+0.0339145
+0.034542
+0.0352763
+0.0361209
+0.0370758
+0.0381328
+0.0392836
+0.0405203
+0.0418352
+0.0432212
+0.0446716
+0.0461805
+0.0477422
+0.0493518
+0.0510047
+0.0526968
+0.0543103
+0.0557991
+0.0573329
+0.0589083
+0.0605219
+0.0621709
+0.0638524
+0.102906
+0.102671
+0.102483
+0.102342
+0.102247
+0.102191
+0.102181
+0.102218
+0.102301
+0.102432
+0.102609
+0.102833
+0.102892
+0.101759
+0.100661
+0.0995988
+0.0985738
+0.0975873
+0.0966332
+0.0957187
+0.0948461
+0.0940164
+0.0932308
+0.0924904
+0.0917964
+0.0911497
+0.0897162
+0.0877332
+0.0857604
+0.0837984
+0.081848
+0.07991
+0.0779854
+0.0760752
+0.0741806
+0.0723026
+0.0704427
+0.0686024
+0.0667832
+0.0649869
+0.0632148
+0.0614655
+0.0597453
+0.0580568
+0.0564029
+0.0547866
+0.0532115
+0.0516812
+0.0501999
+0.0487643
+0.0473813
+0.0460611
+0.044809
+0.0436312
+0.0425336
+0.0415226
+0.0406048
+0.0397865
+0.0390741
+0.0380653
+0.037053
+0.0361452
+0.0353501
+0.0346753
+0.0341281
+0.0337146
+0.0334397
+0.0333014
+0.0332857
+0.033414
+0.0336845
+0.0340938
+0.0341618
+0.0340881
+0.034155
+0.0343618
+0.0347058
+0.0351831
+0.0357884
+0.0365129
+0.0373296
+0.0382543
+0.0392796
+0.0403978
+0.0416013
+0.0428831
+0.0442363
+0.0456545
+0.0471319
+0.0486631
+0.0502432
+0.0518677
+0.0535326
+0.0551432
+0.05661
+0.0581224
+0.059677
+0.0612704
+0.0628997
+0.0645623
+0.104333
+0.104102
+0.103916
+0.103776
+0.103683
+0.103628
+0.103618
+0.103654
+0.103737
+0.103865
+0.10404
+0.104261
+0.104527
+0.103645
+0.102567
+0.101525
+0.10052
+0.0995495
+0.0986135
+0.0977176
+0.0968629
+0.0960507
+0.0952819
+0.0945576
+0.0938788
+0.0922738
+0.0902939
+0.0883239
+0.0863646
+0.0844166
+0.0824808
+0.080558
+0.0786493
+0.0767557
+0.0748782
+0.0730182
+0.071177
+0.0693562
+0.0675553
+0.0657756
+0.0640213
+0.0622946
+0.060598
+0.0589339
+0.0573053
+0.0557152
+0.0541671
+0.0526646
+0.0512118
+0.0498053
+0.0484521
+0.0471618
+0.0459398
+0.0447916
+0.0437232
+0.0427404
+0.0418493
+0.0410558
+0.0403658
+0.0393666
+0.0383886
+0.0375132
+0.0367477
+0.0360991
+0.0355737
+0.0351772
+0.0349139
+0.0347808
+0.0347658
+0.0348887
+0.0351479
+0.0355405
+0.0355538
+0.035483
+0.0355473
+0.035746
+0.0360768
+0.0365363
+0.0371195
+0.0378208
+0.0386248
+0.0395192
+0.0405125
+0.0415976
+0.0427674
+0.0440152
+0.0453346
+0.0467195
+0.0481642
+0.0496636
+0.0512129
+0.0528075
+0.0544436
+0.0560493
+0.057493
+0.0589828
+0.0605153
+0.0620871
+0.0636956
+0.0653379
+0.105786
+0.105558
+0.105375
+0.105237
+0.105145
+0.10509
+0.10508
+0.105116
+0.105198
+0.105325
+0.105497
+0.105715
+0.105977
+0.105543
+0.104485
+0.103462
+0.102476
+0.10152
+0.100603
+0.0997245
+0.0988872
+0.0980917
+0.097339
+0.0966301
+0.0948637
+0.0928873
+0.0909207
+0.0889646
+0.0870197
+0.0850867
+0.0831665
+0.08126
+0.0793682
+0.0774921
+0.0756329
+0.0737919
+0.0719675
+0.0701629
+0.0683808
+0.0666231
+0.0648917
+0.0631888
+0.0615169
+0.0598784
+0.0582762
+0.0567133
+0.0551932
+0.0537194
+0.0522959
+0.0509194
+0.0495965
+0.0483368
+0.0471452
+0.0460272
+0.0449881
+0.0440335
+0.0431691
+0.0424004
+0.0417326
+0.0407443
+0.0398001
+0.0389564
+0.0382198
+0.0375966
+0.0370925
+0.0367124
+0.0364601
+0.0363322
+0.0363178
+0.0364354
+0.0366837
+0.0370601
+0.0370232
+0.0369552
+0.0370169
+0.0372078
+0.0375257
+0.0379676
+0.0385292
+0.0392053
+0.0399902
+0.0408625
+0.0418239
+0.0428758
+0.0440116
+0.0452251
+0.0465102
+0.0478611
+0.0492724
+0.050739
+0.0522564
+0.0538201
+0.0554264
+0.0570253
+0.0584449
+0.059911
+0.0614203
+0.0629696
+0.0645561
+0.066177
+0.107264
+0.107039
+0.106858
+0.106723
+0.106632
+0.106578
+0.106568
+0.106604
+0.106684
+0.106809
+0.106979
+0.107193
+0.107452
+0.107452
+0.106413
+0.105409
+0.104438
+0.1035
+0.1026
+0.101739
+0.100918
+0.100139
+0.0994019
+0.0974832
+0.0955107
+0.093548
+0.0915956
+0.0896542
+0.0877246
+0.0858075
+0.0839038
+0.0820145
+0.0801404
+0.0782827
+0.076439
+0.0746139
+0.0728089
+0.0710256
+0.0692657
+0.0675311
+0.0658236
+0.0641455
+0.0624991
+0.060887
+0.0593121
+0.0577772
+0.0562859
+0.0548414
+0.0534478
+0.0521017
+0.0508097
+0.0495808
+0.0484199
+0.0473319
+0.0463221
+0.0453956
+0.0445576
+0.0438133
+0.0431674
+0.0421907
+0.0412797
+0.0404668
+0.0397582
+0.0391595
+0.0386757
+0.0383113
+0.0380697
+0.0379467
+0.0379329
+0.0380455
+0.0382834
+0.0386441
+0.0385611
+0.0384958
+0.0385551
+0.0387383
+0.0390438
+0.0394687
+0.0400093
+0.0406608
+0.041418
+0.042274
+0.0432043
+0.0442234
+0.0453255
+0.0465047
+0.0477554
+0.049072
+0.0504494
+0.0518828
+0.0533677
+0.0548998
+0.0564753
+0.0580675
+0.0594622
+0.0609039
+0.0623891
+0.0639149
+0.0654785
+0.0670772
+0.108766
+0.108544
+0.108366
+0.108232
+0.108142
+0.108089
+0.10808
+0.108115
+0.108194
+0.108317
+0.108485
+0.108696
+0.108952
+0.10925
+0.108351
+0.107365
+0.106408
+0.105488
+0.104605
+0.103761
+0.102956
+0.102107
+0.10013
+0.0981619
+0.0962033
+0.094255
+0.0923176
+0.0903917
+0.0884782
+0.0865778
+0.0846914
+0.0828191
+0.0809599
+0.0791178
+0.0772938
+0.0754893
+0.0737058
+0.0719448
+0.0702079
+0.0684971
+0.0668143
+0.0651617
+0.0635417
+0.0619567
+0.0604097
+0.0589035
+0.0574413
+0.0560267
+0.0546633
+0.0533479
+0.0520868
+0.0508887
+0.0497583
+0.0487003
+0.0477194
+0.0468206
+0.0460086
+0.0452881
+0.0446635
+0.0436991
+0.0428202
+0.0420372
+0.0413555
+0.0407802
+0.0403159
+0.0399665
+0.0397349
+0.0396165
+0.0396034
+0.0397112
+0.0399392
+0.0402851
+0.0401597
+0.040097
+0.0401539
+0.0403299
+0.0406234
+0.0410319
+0.0415521
+0.0421798
+0.0429103
+0.0437371
+0.0446369
+0.045624
+0.046693
+0.0478385
+0.0490552
+0.0503379
+0.0516816
+0.0530817
+0.0545339
+0.0560341
+0.0575787
+0.059164
+0.0605418
+0.0619583
+0.0634189
+0.0649205
+0.0664604
+0.068036
+0.110291
+0.110072
+0.109897
+0.109765
+0.109676
+0.109624
+0.109615
+0.109649
+0.109727
+0.109849
+0.110014
+0.110223
+0.110474
+0.110768
+0.110298
+0.109327
+0.108387
+0.107484
+0.106617
+0.105789
+0.104775
+0.102802
+0.100838
+0.0988844
+0.0969405
+0.0950073
+0.0930856
+0.0911759
+0.0892792
+0.0873943
+0.0855224
+0.083666
+0.0818261
+0.0800039
+0.0782006
+0.0764176
+0.0746562
+0.0729181
+0.071205
+0.0695188
+0.0678613
+0.0662348
+0.0646417
+0.0630844
+0.0615657
+0.0600885
+0.0586559
+0.0572713
+0.0559382
+0.0546535
+0.0534232
+0.0522558
+0.0511556
+0.0501271
+0.0491747
+0.0483029
+0.0475163
+0.046819
+0.0461997
+0.0452634
+0.0444154
+0.043661
+0.043005
+0.0424521
+0.0420063
+0.041671
+0.041449
+0.0413351
+0.0413224
+0.0414258
+0.0416444
+0.0419763
+0.0418119
+0.0417517
+0.0418063
+0.0419754
+0.0422575
+0.0426504
+0.0431511
+0.0437558
+0.0444604
+0.0452589
+0.0461291
+0.0470849
+0.0481215
+0.0492338
+0.0504168
+0.0516656
+0.0529757
+0.0543425
+0.0557618
+0.0572299
+0.058743
+0.0602977
+0.0616718
+0.0630712
+0.0645066
+0.0659835
+0.0674992
+0.0690511
+0.111838
+0.111622
+0.111449
+0.111319
+0.111232
+0.11118
+0.111171
+0.111205
+0.111282
+0.111402
+0.111565
+0.111771
+0.112019
+0.112309
+0.112255
+0.111297
+0.110374
+0.109487
+0.10843
+0.107241
+0.105497
+0.103539
+0.101589
+0.09965
+0.0977213
+0.0958038
+0.0938984
+0.0920029
+0.0901202
+0.0882518
+0.0863985
+0.0845613
+0.0827413
+0.0809397
+0.0791577
+0.0773967
+0.0756581
+0.0739436
+0.0722548
+0.0705936
+0.068962
+0.0673621
+0.0657963
+0.064267
+0.0627769
+0.0613289
+0.0599259
+0.0585713
+0.0572686
+0.0560144
+0.0548146
+0.0536775
+0.0526071
+0.0516075
+0.0506829
+0.0498375
+0.0490755
+0.0484006
+0.0477825
+0.0468778
+0.0460595
+0.0453325
+0.0447011
+0.0441694
+0.0437411
+0.0434192
+0.0432062
+0.0430964
+0.0430843
+0.0431835
+0.0433932
+0.0436755
+0.0435117
+0.0434539
+0.0435064
+0.0436689
+0.0439401
+0.0443181
+0.0448001
+0.0453829
+0.0460626
+0.0468338
+0.0476752
+0.0486006
+0.0496056
+0.0506853
+0.0518352
+0.0530507
+0.0543273
+0.0556609
+0.0570475
+0.0584833
+0.0599648
+0.0614886
+0.0628559
+0.0642295
+0.0656475
+0.0671012
+0.0685921
+0.0701199
+0.113406
+0.113194
+0.113023
+0.112895
+0.112809
+0.112758
+0.112749
+0.112782
+0.112858
+0.112977
+0.113137
+0.11334
+0.113585
+0.113871
+0.114199
+0.112986
+0.111718
+0.110478
+0.109268
+0.108089
+0.10626
+0.104316
+0.102381
+0.100457
+0.0985442
+0.09664
+0.0947482
+0.0928695
+0.0910047
+0.0891548
+0.0873206
+0.0855033
+0.0837038
+0.0819233
+0.0801632
+0.0784248
+0.0767096
+0.0750191
+0.073355
+0.0717193
+0.0701139
+0.0685409
+0.0670026
+0.0655015
+0.0640401
+0.0626213
+0.061248
+0.0599233
+0.0586506
+0.0574266
+0.056257
+0.0551496
+0.0541083
+0.0531369
+0.0522394
+0.0514197
+0.0506814
+0.0500282
+0.0494118
+0.0485374
+0.0477476
+0.0470467
+0.0464386
+0.045927
+0.0455152
+0.045206
+0.0450014
+0.0448956
+0.044884
+0.0449792
+0.0451806
+0.0454113
+0.0452538
+0.0451981
+0.0452486
+0.0454049
+0.0456658
+0.0460296
+0.0464939
+0.0470557
+0.0477116
+0.0484566
+0.0492703
+0.0501662
+0.0511404
+0.0521884
+0.0533059
+0.0544886
+0.0557323
+0.0570331
+0.0583871
+0.0597907
+0.0612406
+0.0627334
+0.0640929
+0.0654406
+0.0668329
+0.0682671
+0.0697368
+0.07124
+0.101328
+0.100002
+0.0987063
+0.0974417
+0.0962102
+0.0949997
+0.0936901
+0.0924134
+0.0911645
+0.0899517
+0.0887764
+0.0875943
+0.0864306
+0.0853072
+0.0842258
+0.0831716
+0.0821235
+0.0811145
+0.0800872
+0.0790618
+0.0780845
+0.077157
+0.0762811
+0.0754587
+0.074639
+0.0738185
+0.0730065
+0.0721941
+0.0714169
+0.0706961
+0.0699334
+0.0688922
+0.0678949
+0.0669408
+0.0660425
+0.0652054
+0.0644062
+0.0636622
+0.0629857
+0.0623726
+0.0618296
+0.0613601
+0.0609505
+0.0606173
+0.0603618
+0.0601851
+0.0600878
+0.0600694
+0.0601163
+0.0602429
+0.0604487
+0.0598213
+0.0588153
+0.0578748
+0.0570031
+0.0562032
+0.0554784
+0.0548315
+0.0542655
+0.0537827
+0.0531306
+0.0525376
+0.0520301
+0.0516107
+0.0512816
+0.0510444
+0.0509005
+0.0508507
+0.0508951
+0.0510337
+0.0512656
+0.051198
+0.0510367
+0.050938
+0.0508916
+0.0509396
+0.0510268
+0.0511896
+0.0514294
+0.0517329
+0.0520811
+0.0520378
+0.0519989
+0.0520443
+0.0521719
+0.0523908
+0.0527
+0.0530978
+0.0535823
+0.0541511
+0.0548017
+0.0555312
+0.0563364
+0.0572142
+0.0581613
+0.0591745
+0.0602502
+0.0613853
+0.0625766
+0.0638208
+0.0999961
+0.0986523
+0.0973393
+0.0960579
+0.0948086
+0.0935938
+0.0923624
+0.0910676
+0.0898065
+0.0885751
+0.0873813
+0.0862224
+0.0850453
+0.0839034
+0.0828037
+0.081748
+0.0807058
+0.0796854
+0.0786781
+0.0776418
+0.0766464
+0.0757013
+0.0748084
+0.0739696
+0.0731749
+0.0723613
+0.0715524
+0.0707474
+0.0699545
+0.0692185
+0.0685447
+0.0675262
+0.0665169
+0.0655482
+0.0646306
+0.063775
+0.0629577
+0.0621963
+0.0615037
+0.0608757
+0.0603192
+0.0598378
+0.0594177
+0.0590759
+0.0588137
+0.0586323
+0.0585324
+0.0585135
+0.0585618
+0.0586917
+0.0589028
+0.0579641
+0.0569254
+0.0559531
+0.0550509
+0.0542223
+0.0534706
+0.0527991
+0.0522111
+0.0517092
+0.05115
+0.0505338
+0.050006
+0.0495695
+0.0492267
+0.0489796
+0.0488296
+0.0487777
+0.048824
+0.0489685
+0.0492101
+0.0490672
+0.048898
+0.0487994
+0.0487511
+0.0488011
+0.0488933
+0.049063
+0.0493115
+0.0496194
+0.0499825
+0.0499671
+0.0499266
+0.0499798
+0.0501127
+0.0503405
+0.0506622
+0.0510759
+0.0515794
+0.0521701
+0.0528451
+0.0536011
+0.0544349
+0.0553429
+0.0563215
+0.0573672
+0.0584762
+0.0596451
+0.0608704
+0.0621488
+0.0986954
+0.0973336
+0.0960025
+0.0947034
+0.0934372
+0.0922044
+0.0910076
+0.0897546
+0.0884758
+0.0872318
+0.0860193
+0.0848461
+0.0836905
+0.0825339
+0.0814158
+0.0803418
+0.0793137
+0.0782849
+0.0772739
+0.0762564
+0.0752446
+0.0742816
+0.0733715
+0.0725161
+0.0717174
+0.0709214
+0.070109
+0.0693398
+0.068531
+0.0677795
+0.0670912
+0.0662044
+0.0651747
+0.0641914
+0.063263
+0.0623887
+0.061553
+0.0607741
+0.060065
+0.0594218
+0.0588516
+0.0583581
+0.0579272
+0.0575766
+0.0573076
+0.0571214
+0.0570188
+0.0569994
+0.0570489
+0.0571823
+0.0571359
+0.0561304
+0.0550577
+0.0540519
+0.0531174
+0.0522581
+0.0514777
+0.0507799
+0.0501682
+0.0496457
+0.0491873
+0.0485462
+0.0479966
+0.0475416
+0.0471841
+0.0469262
+0.0467696
+0.0467154
+0.0467638
+0.0469146
+0.0471667
+0.0469376
+0.0467608
+0.0466658
+0.0466152
+0.0466675
+0.0467652
+0.0469412
+0.0472003
+0.047513
+0.047892
+0.0479072
+0.047865
+0.0479229
+0.0480651
+0.0483026
+0.0486378
+0.0490685
+0.0495924
+0.0502065
+0.0509075
+0.0516919
+0.052556
+0.0534959
+0.0545077
+0.0555874
+0.0567312
+0.0579353
+0.0591961
+0.0605098
+0.0974266
+0.0960468
+0.0946977
+0.0933804
+0.0920964
+0.0908466
+0.0896316
+0.0884543
+0.0871789
+0.0859176
+0.0846921
+0.0835003
+0.0823494
+0.0811979
+0.0800637
+0.0789713
+0.0779252
+0.0769213
+0.0759041
+0.0748966
+0.073881
+0.0729002
+0.0719726
+0.0711004
+0.0702856
+0.0695064
+0.0687042
+0.0679224
+0.0671487
+0.0663816
+0.0656787
+0.0649297
+0.0638794
+0.0628759
+0.0619337
+0.0610496
+0.0601953
+0.0593986
+0.0586729
+0.0580142
+0.05743
+0.0569242
+0.0564824
+0.0561227
+0.0558467
+0.0556557
+0.0555504
+0.0555305
+0.0555813
+0.0553911
+0.0549938
+0.0543145
+0.0532147
+0.0521733
+0.0512046
+0.0503126
+0.0495016
+0.0487755
+0.0481383
+0.0475935
+0.0471443
+0.0465768
+0.0460037
+0.0455288
+0.0451553
+0.0448858
+0.0447221
+0.0446654
+0.044716
+0.0448737
+0.0450826
+0.044813
+0.0446288
+0.0445357
+0.0444827
+0.0445375
+0.0446424
+0.0448254
+0.0450966
+0.0454145
+0.0458109
+0.0458594
+0.0458153
+0.0458758
+0.0460306
+0.0462786
+0.0466283
+0.0470775
+0.0476233
+0.0482624
+0.0489913
+0.0498059
+0.0507021
+0.0516757
+0.0527225
+0.053838
+0.0550182
+0.056259
+0.0575564
+0.0589068
+0.0961909
+0.0947932
+0.0934259
+0.0920905
+0.0907882
+0.0895207
+0.0882886
+0.0870931
+0.0859182
+0.0846382
+0.083396
+0.0821908
+0.0810213
+0.0798921
+0.0787482
+0.0776384
+0.0765741
+0.0755583
+0.0745706
+0.0735478
+0.0725519
+0.0715592
+0.070614
+0.0697247
+0.0688937
+0.0681231
+0.0673414
+0.0665435
+0.065809
+0.0650275
+0.0643097
+0.0636593
+0.062634
+0.0616102
+0.0606483
+0.0597499
+0.0588734
+0.0580664
+0.0573306
+0.0566564
+0.0560581
+0.0555398
+0.0550869
+0.054718
+0.0544349
+0.0542388
+0.0541308
+0.0541104
+0.0537401
+0.0532689
+0.0528556
+0.0525267
+0.0513952
+0.05032
+0.0493149
+0.0483881
+0.0475443
+0.0467879
+0.0461232
+0.0455543
+0.0450847
+0.0446281
+0.0440296
+0.0435332
+0.0431424
+0.0428603
+0.0426888
+0.0426293
+0.0426824
+0.0428475
+0.0429769
+0.0426942
+0.0425028
+0.0424086
+0.042353
+0.0424105
+0.0425218
+0.0427171
+0.0430017
+0.0433252
+0.0437405
+0.0438254
+0.0437792
+0.0438426
+0.0440112
+0.0442705
+0.044636
+0.045105
+0.0456743
+0.0463404
+0.047099
+0.0479457
+0.0488761
+0.0498854
+0.0509689
+0.052122
+0.0533402
+0.0546191
+0.0559545
+0.0573426
+0.094957
+0.093574
+0.0921887
+0.090835
+0.0895146
+0.0882287
+0.086979
+0.0857663
+0.0845918
+0.0833967
+0.0821357
+0.0809145
+0.0797314
+0.0785864
+0.0774632
+0.0763452
+0.0752626
+0.0742289
+0.0732461
+0.0722404
+0.0712483
+0.0702566
+0.069298
+0.0683916
+0.0675442
+0.066758
+0.0659952
+0.0652092
+0.0644594
+0.0637101
+0.0629757
+0.0623097
+0.0614415
+0.0603975
+0.059416
+0.0584987
+0.0576031
+0.056778
+0.0560265
+0.0553485
+0.054736
+0.0542005
+0.0537364
+0.0533582
+0.0530678
+0.0528667
+0.0527559
+0.0522066
+0.0516352
+0.0511513
+0.0507219
+0.0503831
+0.049599
+0.0484949
+0.0474511
+0.0464872
+0.0456082
+0.0448191
+0.0441248
+0.0435298
+0.0430381
+0.042649
+0.0420769
+0.0415572
+0.0411477
+0.0408517
+0.0406718
+0.0406094
+0.0406651
+0.0408384
+0.0408802
+0.0405828
+0.0403837
+0.0402884
+0.0402298
+0.0402904
+0.0404088
+0.0406143
+0.0409168
+0.0412464
+0.0416824
+0.0418072
+0.0417588
+0.0418252
+0.042006
+0.0422806
+0.0426631
+0.0431535
+0.0437483
+0.0444432
+0.0452336
+0.0461146
+0.0470812
+0.0481281
+0.0492503
+0.0504427
+0.0517005
+0.053019
+0.0543937
+0.0558206
+0.0937417
+0.0923596
+0.0909874
+0.0896156
+0.0882769
+0.0869727
+0.0857047
+0.0844745
+0.0832828
+0.0821313
+0.0809152
+0.0796752
+0.0784768
+0.0773178
+0.0761996
+0.075083
+0.0739927
+0.072941
+0.0719406
+0.0709764
+0.0699665
+0.0689964
+0.0680251
+0.0671036
+0.0662397
+0.0654378
+0.064695
+0.0639169
+0.0631518
+0.0624361
+0.0616865
+0.0610064
+0.0603051
+0.059241
+0.05824
+0.0573038
+0.0563893
+0.0555462
+0.0547778
+0.0540843
+0.0534573
+0.0529136
+0.0524405
+0.0520529
+0.0517552
+0.0515489
+0.050816
+0.0501331
+0.0495378
+0.0490331
+0.0485933
+0.0482395
+0.0477924
+0.0466933
+0.0456163
+0.0446128
+0.0436961
+0.0428719
+0.0421455
+0.0415221
+0.0410064
+0.0406016
+0.0401462
+0.0396012
+0.0391713
+0.0388603
+0.0386711
+0.0386054
+0.038664
+0.0388462
+0.0387939
+0.0384804
+0.0382726
+0.0381761
+0.0381143
+0.0381783
+0.0383044
+0.0385211
+0.0388392
+0.0391798
+0.0396225
+0.0398073
+0.0397565
+0.0398262
+0.040016
+0.0403114
+0.0407124
+0.0412261
+0.0418482
+0.0425742
+0.0433987
+0.0443162
+0.0453211
+0.0464078
+0.0475705
+0.048804
+0.0501029
+0.0514624
+0.0528776
+0.0543444
+0.0925622
+0.0911623
+0.089794
+0.0884336
+0.0870767
+0.0857543
+0.0844681
+0.0832196
+0.0820106
+0.0808418
+0.0797152
+0.0784775
+0.0772605
+0.0760872
+0.0749547
+0.0738571
+0.0727502
+0.0716932
+0.0706789
+0.0697149
+0.0687306
+0.067758
+0.0667946
+0.0658631
+0.0649828
+0.0641652
+0.0634128
+0.0626704
+0.0618929
+0.061181
+0.0604492
+0.059755
+0.0591338
+0.0581441
+0.0571238
+0.0561691
+0.0552358
+0.0543748
+0.0535895
+0.0528805
+0.0522391
+0.0516827
+0.0512055
+0.0508085
+0.0504434
+0.0495782
+0.0487818
+0.04807
+0.0474488
+0.0469217
+0.0464704
+0.0461003
+0.0458321
+0.0448917
+0.0438135
+0.0427685
+0.0418114
+0.0409493
+0.0401881
+0.0395339
+0.038992
+0.038567
+0.0382422
+0.0376706
+0.0372183
+0.0368909
+0.0366915
+0.0366223
+0.036684
+0.0368761
+0.0367136
+0.0363883
+0.036171
+0.0360696
+0.0360078
+0.0360755
+0.0362103
+0.0364395
+0.0367679
+0.0371274
+0.037576
+0.0378285
+0.037775
+0.0378484
+0.0380481
+0.0383663
+0.0387874
+0.0393262
+0.039978
+0.0407372
+0.0415982
+0.0425545
+0.0436001
+0.0447286
+0.0459339
+0.0472101
+0.0485517
+0.0499533
+0.0514102
+0.0529176
+0.0914201
+0.0900024
+0.0886162
+0.087263
+0.0859157
+0.0845751
+0.0832706
+0.0820039
+0.0807768
+0.079591
+0.0784472
+0.0773233
+0.0760879
+0.0748962
+0.0737503
+0.0726468
+0.0715513
+0.0704764
+0.0694539
+0.0684823
+0.0675431
+0.0665532
+0.0656142
+0.0646663
+0.0637706
+0.0629372
+0.0621699
+0.0614562
+0.0606871
+0.0599608
+0.059267
+0.0585589
+0.0579249
+0.0571102
+0.0560711
+0.0550981
+0.0541463
+0.0532677
+0.0524659
+0.0517416
+0.0510859
+0.0505167
+0.0500359
+0.0494605
+0.0484815
+0.0475834
+0.0467617
+0.0460187
+0.0453694
+0.0448179
+0.0443542
+0.0439663
+0.0436849
+0.0430782
+0.0420167
+0.0409584
+0.0399579
+0.0390549
+0.0382561
+0.0375682
+0.0369975
+0.0365493
+0.036211
+0.0357699
+0.0352933
+0.0349478
+0.0347373
+0.0346642
+0.0347294
+0.0349322
+0.0346386
+0.0343086
+0.0340807
+0.0339706
+0.033912
+0.0339838
+0.0341283
+0.0343714
+0.0347111
+0.0350898
+0.0355467
+0.0358744
+0.035818
+0.0358954
+0.0361058
+0.0364469
+0.0368921
+0.0374582
+0.0381418
+0.0389369
+0.0398368
+0.0408344
+0.0419229
+0.0430953
+0.044345
+0.0456657
+0.0470513
+0.0484964
+0.0499957
+0.0515443
+0.0902475
+0.0888814
+0.0874774
+0.0861063
+0.0847696
+0.0834368
+0.0821142
+0.0808294
+0.0795841
+0.0783803
+0.0772199
+0.0761034
+0.0749609
+0.073751
+0.0725871
+0.0714713
+0.0703996
+0.0693074
+0.0682674
+0.0672827
+0.0663493
+0.0653996
+0.0644512
+0.0635219
+0.0626098
+0.0617608
+0.0609787
+0.0602661
+0.0595375
+0.058797
+0.0581297
+0.0574214
+0.0567747
+0.0561299
+0.0550854
+0.0540947
+0.0531249
+0.0522291
+0.0514111
+0.0506718
+0.0500021
+0.0494205
+0.0486552
+0.0475589
+0.04654
+0.0456036
+0.044755
+0.0439809
+0.043301
+0.0427227
+0.0422455
+0.0418381
+0.0415423
+0.0412955
+0.0401994
+0.0391756
+0.0381402
+0.0371931
+0.0363534
+0.0356288
+0.0350265
+0.0345528
+0.0341995
+0.0339042
+0.033401
+0.0330357
+0.0328129
+0.0327355
+0.0328046
+0.0329665
+0.0325664
+0.0322435
+0.0320037
+0.031884
+0.0318289
+0.0319055
+0.0320608
+0.0323194
+0.0326718
+0.0330534
+0.0335376
+0.0339491
+0.0338895
+0.0339713
+0.0341936
+0.0345536
+0.0350312
+0.0356269
+0.036345
+0.0371785
+0.0381199
+0.0391613
+0.040295
+0.0415134
+0.0428093
+0.044176
+0.0456069
+0.0470963
+0.0486375
+0.0502137
+0.0890376
+0.0877585
+0.0863792
+0.0849904
+0.0836358
+0.0823174
+0.0810006
+0.0796978
+0.0784345
+0.0772128
+0.0760346
+0.0749019
+0.0738152
+0.0726539
+0.0714721
+0.0703387
+0.0692542
+0.0681887
+0.0671314
+0.0661298
+0.0651801
+0.0642847
+0.0633351
+0.0624203
+0.0615047
+0.0606408
+0.059844
+0.0591178
+0.0584396
+0.0576929
+0.0570127
+0.0563431
+0.0556871
+0.0551072
+0.0541571
+0.0531626
+0.0521756
+0.0512632
+0.0504295
+0.0496757
+0.0489923
+0.0480366
+0.0468235
+0.0456833
+0.0446216
+0.0436441
+0.0427565
+0.0419584
+0.0412452
+0.0406377
+0.0401408
+0.0397167
+0.0394049
+0.0392133
+0.03841
+0.0373486
+0.0363637
+0.035369
+0.0344849
+0.0337202
+0.0330831
+0.0325812
+0.0322114
+0.0319681
+0.0315474
+0.0311603
+0.0309241
+0.0308419
+0.0309152
+0.0309375
+0.0305108
+0.0301903
+0.0299427
+0.0298123
+0.0297593
+0.0298412
+0.0300105
+0.0302869
+0.0306374
+0.0310381
+0.0315528
+0.032058
+0.0319948
+0.0320815
+0.0323168
+0.0326974
+0.0332106
+0.0338383
+0.0345936
+0.0354683
+0.0364539
+0.0375415
+0.0387227
+0.039989
+0.0413328
+0.0427466
+0.0442238
+0.0457545
+0.0473252
+0.0489434
+0.0878656
+0.0865692
+0.0853093
+0.0839168
+0.0825446
+0.0812084
+0.07991
+0.0786109
+0.0773299
+0.0760905
+0.0748946
+0.0737444
+0.0726421
+0.0715879
+0.0704039
+0.069253
+0.0681506
+0.0670765
+0.0660486
+0.0650303
+0.0640646
+0.0631534
+0.0622699
+0.0613537
+0.060445
+0.0595797
+0.0587691
+0.0580294
+0.0573638
+0.0566483
+0.0559592
+0.0553219
+0.0546656
+0.0540747
+0.0532988
+0.0522935
+0.0513022
+0.050374
+0.0495254
+0.0487577
+0.0476107
+0.0462842
+0.0450239
+0.0438369
+0.0427294
+0.0417075
+0.0407778
+0.0399468
+0.039204
+0.0385644
+0.0380404
+0.0376032
+0.0372738
+0.0370712
+0.0366622
+0.0355604
+0.0345404
+0.0335887
+0.0326565
+0.0318479
+0.0311726
+0.0306394
+0.0302513
+0.0299921
+0.0297396
+0.0293287
+0.0290776
+0.0289902
+0.0290682
+0.0289285
+0.0284753
+0.0281527
+0.0278917
+0.0277588
+0.0277019
+0.0277899
+0.0279753
+0.0282758
+0.0286197
+0.0290481
+0.0295866
+0.0301316
+0.0301403
+0.0302323
+0.0304818
+0.0308851
+0.0314363
+0.0320996
+0.0328949
+0.0338136
+0.034846
+0.0359822
+0.0372129
+0.0385289
+0.0399219
+0.0413839
+0.0429013
+0.0444648
+0.0460794
+0.0477399
+0.0866974
+0.0854195
+0.0841425
+0.0828872
+0.0814977
+0.0801441
+0.078828
+0.0775516
+0.0762723
+0.0750153
+0.073802
+0.0726346
+0.0715151
+0.0704461
+0.0693878
+0.0682198
+0.0671004
+0.0660092
+0.0649736
+0.0639869
+0.0630055
+0.0620787
+0.0612164
+0.0603237
+0.0594461
+0.0585671
+0.0577568
+0.0570045
+0.0563268
+0.0556646
+0.0549726
+0.0543469
+0.0537054
+0.0531126
+0.0525179
+0.0514974
+0.0505089
+0.0495658
+0.0487031
+0.0473567
+0.0459336
+0.0445706
+0.0432604
+0.0420236
+0.0408669
+0.0397973
+0.0388219
+0.0379481
+0.0371799
+0.0365048
+0.0359508
+0.0354991
+0.03515
+0.034935
+0.0348567
+0.0338072
+0.0327479
+0.0317861
+0.0308753
+0.0300188
+0.0293013
+0.0287334
+0.0283236
+0.0280479
+0.0279404
+0.0275496
+0.027282
+0.0271889
+0.027272
+0.0269442
+0.0264647
+0.02614
+0.0258586
+0.025728
+0.0256666
+0.0257615
+0.0259607
+0.0262814
+0.0266292
+0.0270892
+0.027652
+0.028206
+0.0283338
+0.0284316
+0.0286968
+0.0291249
+0.0297087
+0.0304194
+0.0312574
+0.0322228
+0.0333046
+0.0344917
+0.0357737
+0.0371407
+0.0385838
+0.0400845
+0.0416384
+0.0432476
+0.044906
+0.0466083
+0.085539
+0.0842601
+0.0830141
+0.0817564
+0.0804968
+0.079126
+0.0777928
+0.0764991
+0.0752469
+0.0739895
+0.0727591
+0.0715746
+0.0704383
+0.0693526
+0.06832
+0.0672421
+0.0661062
+0.0649983
+0.0639463
+0.062953
+0.0620057
+0.0610638
+0.0601869
+0.0593567
+0.0584737
+0.057619
+0.0567962
+0.0560459
+0.0553571
+0.0547467
+0.0540479
+0.0534207
+0.0528151
+0.0522176
+0.0516933
+0.0507834
+0.0497993
+0.0488425
+0.0473045
+0.0457751
+0.0443012
+0.0428887
+0.0415376
+0.0402479
+0.0390386
+0.0379175
+0.0368924
+0.0359717
+0.0351636
+0.0344614
+0.0338739
+0.0334061
+0.0330349
+0.0328061
+0.0327227
+0.0321078
+0.0309989
+0.029989
+0.0291011
+0.0282411
+0.0274773
+0.0268708
+0.0264325
+0.0261429
+0.0260275
+0.0258338
+0.0255483
+0.0254488
+0.0254175
+0.0249943
+0.0244849
+0.0241431
+0.0238535
+0.0237144
+0.0236591
+0.023762
+0.023976
+0.0243008
+0.0246727
+0.0251669
+0.0257584
+0.026322
+0.0265851
+0.0266894
+0.0269717
+0.0274267
+0.0280459
+0.0288079
+0.0296914
+0.0307061
+0.0318394
+0.0330791
+0.0344138
+0.0358327
+0.0373122
+0.0388535
+0.0404548
+0.0421092
+0.0438107
+0.045554
+0.0844013
+0.0831158
+0.0818577
+0.0806342
+0.0793988
+0.0781562
+0.0768061
+0.0754955
+0.0742264
+0.072996
+0.0717678
+0.0705667
+0.0694139
+0.068312
+0.0672633
+0.0662591
+0.0651705
+0.0640464
+0.0629785
+0.061856
+0.060735
+0.0596734
+0.0586662
+0.0577216
+0.0568458
+0.056042
+0.0553133
+0.0546628
+0.0540932
+0.0536044
+0.0531866
+0.0525642
+0.052002
+0.0513904
+0.0508575
+0.0501549
+0.0490943
+0.0474551
+0.045826
+0.0442455
+0.0427189
+0.0412522
+0.0398519
+0.0385149
+0.0372494
+0.0360727
+0.0349937
+0.0340216
+0.033166
+0.0324312
+0.0318064
+0.0313226
+0.0309304
+0.0306859
+0.0305967
+0.0304178
+0.0293004
+0.0282476
+0.027303
+0.0264951
+0.0257093
+0.0250601
+0.0245896
+0.024286
+0.0241618
+0.0241947
+0.0238896
+0.0237833
+0.0234532
+0.0230876
+0.0225418
+0.0221664
+0.0218641
+0.0217177
+0.0216846
+0.0217968
+0.0220302
+0.0223594
+0.0227589
+0.0232832
+0.0239155
+0.024489
+0.0249065
+0.0250177
+0.0253187
+0.0258028
+0.0264601
+0.0272772
+0.0282087
+0.0292748
+0.0304614
+0.031755
+0.0331429
+0.0345953
+0.0361197
+0.0377098
+0.0393577
+0.0410563
+0.0427997
+0.0445825
+0.0832921
+0.0820031
+0.0807308
+0.079498
+0.078304
+0.0770906
+0.0758698
+0.0745428
+0.0732571
+0.0720102
+0.0708087
+0.0696132
+0.0684443
+0.0673265
+0.0662623
+0.0651705
+0.0638075
+0.0624915
+0.0612255
+0.0600128
+0.0588567
+0.0577605
+0.0567279
+0.0557519
+0.0548446
+0.054011
+0.0532546
+0.0525786
+0.0519861
+0.0514802
+0.0510462
+0.0507021
+0.0504509
+0.0502939
+0.0501036
+0.0494335
+0.0477138
+0.0460342
+0.0443965
+0.0427735
+0.0411924
+0.0396692
+0.038211
+0.0368255
+0.0355053
+0.0342687
+0.033131
+0.0321026
+0.0311944
+0.0304171
+0.0297556
+0.029238
+0.0288386
+0.0285763
+0.0284804
+0.0282368
+0.0276711
+0.0265578
+0.0255663
+0.0247137
+0.0239885
+0.0232948
+0.0227879
+0.0224838
+0.0223551
+0.022435
+0.0223154
+0.0220707
+0.0215317
+0.0211281
+0.0206316
+0.0202203
+0.0199086
+0.0197622
+0.0197522
+0.0198754
+0.0201133
+0.0204684
+0.0208902
+0.0214575
+0.0221327
+0.0227195
+0.023313
+0.0234318
+0.0237529
+0.0242683
+0.0249659
+0.025831
+0.0268231
+0.0279422
+0.029183
+0.0305291
+0.0319478
+0.0334495
+0.0350238
+0.0366615
+0.0383544
+0.0400955
+0.0418789
+0.0436994
+0.082172
+0.0809275
+0.0796446
+0.0783948
+0.077187
+0.0760231
+0.0748395
+0.0736429
+0.0723413
+0.0710783
+0.0698607
+0.0686915
+0.0675319
+0.0663987
+0.0649352
+0.0634958
+0.0620997
+0.0607466
+0.0594435
+0.0581937
+0.0570007
+0.0558681
+0.0547998
+0.0537992
+0.0528584
+0.051993
+0.0512067
+0.0505033
+0.0498863
+0.0493588
+0.0489101
+0.0485509
+0.0482885
+0.0481245
+0.0480599
+0.0480951
+0.0463957
+0.0446666
+0.0429796
+0.0413398
+0.039728
+0.0381464
+0.0366276
+0.0351798
+0.0338117
+0.0325123
+0.0313108
+0.0302205
+0.0292539
+0.0284236
+0.0277263
+0.0271701
+0.0267627
+0.0264798
+0.0263331
+0.0260566
+0.0259288
+0.0249396
+0.0239019
+0.0229901
+0.0222368
+0.0216067
+0.0210592
+0.0207298
+0.020623
+0.0207096
+0.0206826
+0.0202212
+0.0196361
+0.0192058
+0.0187822
+0.0183294
+0.0180074
+0.0178521
+0.0178673
+0.0180154
+0.0182532
+0.0186387
+0.0190871
+0.0197063
+0.0203941
+0.0210253
+0.0217011
+0.0219501
+0.0222926
+0.0228409
+0.0235808
+0.0244924
+0.0255299
+0.0267032
+0.027999
+0.0293886
+0.0308593
+0.0324114
+0.0340337
+0.0357168
+0.0374525
+0.0392337
+0.0410545
+0.04291
+0.0810957
+0.0798344
+0.0786023
+0.0773379
+0.0761133
+0.0749328
+0.0737984
+0.0726508
+0.0714809
+0.0702024
+0.0689694
+0.067605
+0.0662632
+0.0648472
+0.06333
+0.0618533
+0.0604199
+0.0590315
+0.0576896
+0.056401
+0.0551692
+0.0539983
+0.0528922
+0.0518551
+0.0508869
+0.0499873
+0.049169
+0.048436
+0.0477923
+0.0472414
+0.0467791
+0.0464034
+0.0461288
+0.045957
+0.0458894
+0.0459262
+0.0451455
+0.0433666
+0.0416269
+0.0399316
+0.0382867
+0.0366913
+0.0351096
+0.0335964
+0.0321613
+0.0308115
+0.0295409
+0.0283827
+0.0273513
+0.0264614
+0.0257235
+0.0251229
+0.0247027
+0.0243999
+0.0241771
+0.0238765
+0.0237397
+0.0233319
+0.0222867
+0.0213519
+0.0205574
+0.0198954
+0.0193474
+0.0188904
+0.0186808
+0.0186406
+0.018627
+0.0184467
+0.0178011
+0.0173438
+0.017014
+0.0165065
+0.0161717
+0.0160065
+0.0160402
+0.0162119
+0.0164625
+0.0168793
+0.0173732
+0.0180513
+0.0187504
+0.0193977
+0.0201144
+0.0205953
+0.0209599
+0.0215422
+0.0223252
+0.0232619
+0.0243516
+0.025579
+0.026929
+0.0283711
+0.0298918
+0.0314916
+0.0331591
+0.0348844
+0.0366595
+0.0384774
+0.0403324
+0.0422196
+0.0800649
+0.078787
+0.07755
+0.0763248
+0.0750883
+0.0738913
+0.0727407
+0.0716386
+0.0702751
+0.0687865
+0.0673349
+0.0659242
+0.0645533
+0.0632227
+0.0617609
+0.0602457
+0.0587731
+0.0573463
+0.0559666
+0.0546373
+0.0533648
+0.0521534
+0.0510073
+0.0499311
+0.0489294
+0.0479952
+0.0471423
+0.0463773
+0.0457045
+0.0451282
+0.0446521
+0.0442601
+0.0439721
+0.0437919
+0.0437209
+0.0437596
+0.043897
+0.0421404
+0.0403479
+0.0385965
+0.036892
+0.0352414
+0.0336524
+0.0320845
+0.0305786
+0.0291595
+0.027831
+0.0265985
+0.0254949
+0.0245378
+0.0237448
+0.0231022
+0.0226444
+0.0223412
+0.0220179
+0.0216976
+0.0215509
+0.0216154
+0.0206203
+0.0195124
+0.0185904
+0.0178617
+0.0172828
+0.0167696
+0.0165331
+0.0164964
+0.0165855
+0.0167313
+0.0160328
+0.0155465
+0.0152964
+0.0147554
+0.014412
+0.014259
+0.0143141
+0.0145026
+0.014769
+0.0152316
+0.0157778
+0.0164748
+0.0172221
+0.0178907
+0.0186379
+0.0193853
+0.0197722
+0.0203885
+0.0212015
+0.0221797
+0.0233201
+0.0245991
+0.0259999
+0.0274908
+0.0290577
+0.030701
+0.0324091
+0.0341723
+0.0359825
+0.037833
+0.0397181
+0.0416331
+0.0790637
+0.0777873
+0.0765342
+0.0753239
+0.0741068
+0.0729008
+0.0717343
+0.0702793
+0.0687215
+0.067199
+0.0657136
+0.0642673
+0.0628641
+0.0615062
+0.060188
+0.0586758
+0.0571628
+0.0556948
+0.0542756
+0.0529055
+0.0515904
+0.0503363
+0.0491478
+0.04803
+0.0469877
+0.0460211
+0.0451309
+0.0443312
+0.0436269
+0.0430228
+0.042523
+0.0421217
+0.041819
+0.0416295
+0.0415548
+0.0415955
+0.0417355
+0.0409947
+0.0391497
+0.0373422
+0.0355777
+0.0338631
+0.0322062
+0.0306165
+0.0290748
+0.0275785
+0.0261802
+0.0248792
+0.0236958
+0.0226628
+0.0218016
+0.0211153
+0.0206135
+0.0203084
+0.0198594
+0.0195213
+0.0193626
+0.0194273
+0.0188657
+0.0176572
+0.0166337
+0.0158476
+0.0152383
+0.0146693
+0.0143983
+0.0143615
+0.0145024
+0.0147962
+0.014366
+0.0138303
+0.0135461
+0.0131368
+0.0127861
+0.0126322
+0.0127123
+0.0129323
+0.013209
+0.0137142
+0.0143191
+0.0150465
+0.0158303
+0.0165373
+0.0173133
+0.0182063
+0.0187448
+0.0193937
+0.0202466
+0.0212689
+0.0224556
+0.023781
+0.0252274
+0.0267614
+0.0283685
+0.0300495
+0.0317927
+0.0335883
+0.0354283
+0.0373063
+0.0392167
+0.0411551
+0.0780809
+0.076814
+0.0755681
+0.0743421
+0.0731612
+0.0719538
+0.07042
+0.0687956
+0.0672034
+0.0656457
+0.064125
+0.0626433
+0.0612028
+0.059808
+0.058462
+0.0571468
+0.0555922
+0.0540816
+0.0526189
+0.0512082
+0.049849
+0.04855
+0.0473167
+0.0461545
+0.0450689
+0.0440655
+0.043137
+0.0422996
+0.0415609
+0.0409263
+0.0404006
+0.0399859
+0.0396668
+0.039467
+0.0393882
+0.0394311
+0.0395771
+0.039838
+0.0380401
+0.0361771
+0.0343529
+0.0325738
+0.0308478
+0.0291842
+0.0275943
+0.0260858
+0.0246028
+0.0232265
+0.0219678
+0.0208494
+0.01991
+0.0191727
+0.0186188
+0.0182644
+0.0177087
+0.0173487
+0.0171749
+0.01724
+0.0171775
+0.0158775
+0.014743
+0.01385
+0.0132143
+0.0125999
+0.0122833
+0.0122464
+0.0124563
+0.0127995
+0.0127839
+0.0122059
+0.0119129
+0.0117048
+0.0113406
+0.011185
+0.0113001
+0.0115214
+0.0118335
+0.0123892
+0.013019
+0.0138193
+0.0146067
+0.0153663
+0.0161781
+0.0170941
+0.0179273
+0.0186048
+0.0194923
+0.0205521
+0.0217779
+0.0231422
+0.0246261
+0.0261953
+0.0278351
+0.0295465
+0.0313177
+0.033139
+0.0350027
+0.0369023
+0.0388327
+0.0407893
+0.0771057
+0.0758659
+0.0746225
+0.0734127
+0.0722165
+0.0706963
+0.0690089
+0.0673506
+0.0657234
+0.0641297
+0.0625722
+0.0610536
+0.0595758
+0.0581419
+0.0567564
+0.0554228
+0.0540648
+0.0525103
+0.0510025
+0.0495458
+0.0481444
+0.0467981
+0.0455173
+0.044308
+0.043176
+0.0421275
+0.041163
+0.0402846
+0.0395083
+0.0388402
+0.0382859
+0.0378504
+0.0375151
+0.0373038
+0.0372204
+0.0372658
+0.0374225
+0.0376984
+0.037027
+0.0351103
+0.0332275
+0.0313847
+0.0295894
+0.0278507
+0.02618
+0.024591
+0.0231007
+0.0216555
+0.0203002
+0.0191006
+0.0180859
+0.0172745
+0.0166734
+0.0161815
+0.0155692
+0.0151812
+0.014988
+0.0150535
+0.0151247
+0.0141928
+0.012941
+0.0119205
+0.0112322
+0.0105793
+0.0102003
+0.0101634
+0.0104524
+0.0108768
+0.0111573
+0.0107486
+0.0104189
+0.010448
+0.0100794
+0.0099656
+0.0100869
+0.0103343
+0.0106907
+0.0113024
+0.0119813
+0.0127873
+0.0136195
+0.0144257
+0.0152431
+0.0162032
+0.0172311
+0.0180488
+0.0189623
+0.0200501
+0.0213048
+0.0226976
+0.0242088
+0.0258034
+0.0274666
+0.0291996
+0.0309906
+0.0328301
+0.0347104
+0.0366252
+0.0385694
+0.0405387
+0.0761439
+0.0749154
+0.0737113
+0.0724971
+0.071086
+0.0693477
+0.0676358
+0.0659466
+0.0642839
+0.0626536
+0.0610585
+0.0595012
+0.0579849
+0.0565116
+0.0550851
+0.0537101
+0.0523906
+0.0509847
+0.0494304
+0.0479259
+0.046476
+0.0450845
+0.0437537
+0.0424942
+0.0413125
+0.0402155
+0.0392103
+0.038289
+0.0374713
+0.0367662
+0.0361802
+0.0357191
+0.0353682
+0.035144
+0.0350554
+0.0351037
+0.0352724
+0.0355649
+0.0358038
+0.0341207
+0.032212
+0.0303075
+0.0284443
+0.026631
+0.0248784
+0.0232005
+0.0216145
+0.0201418
+0.0187401
+0.0174334
+0.0163173
+0.0154217
+0.0147907
+0.0141312
+0.0134461
+0.0130216
+0.0128025
+0.0128686
+0.0131061
+0.012637
+0.0112572
+0.0100942
+0.0092713
+0.00863326
+0.00817377
+0.00813705
+0.00851357
+0.00902955
+0.00972382
+0.00954255
+0.00920051
+0.00924032
+0.00913167
+0.00906748
+0.0092354
+0.00951041
+0.00984906
+0.0104999
+0.011228
+0.0120368
+0.0128933
+0.0137126
+0.0145701
+0.0155718
+0.0166387
+0.0177319
+0.0186753
+0.0197795
+0.0210503
+0.0224589
+0.0239851
+0.0255935
+0.0272686
+0.0290116
+0.0308112
+0.0326586
+0.0345462
+0.0364648
+0.0384122
+0.0403845
+0.0752336
+0.0739899
+0.072791
+0.0716067
+0.0698127
+0.0680419
+0.0662962
+0.0645777
+0.0628878
+0.0612203
+0.0595868
+0.05799
+0.0564332
+0.0549195
+0.0534514
+0.0520332
+0.0506701
+0.0493666
+0.0479069
+0.046353
+0.0448522
+0.0434102
+0.0420302
+0.0407174
+0.0394826
+0.0383333
+0.0372774
+0.0363159
+0.0354527
+0.0347066
+0.0340852
+0.0335953
+0.033227
+0.0329882
+0.0328939
+0.0329453
+0.0331276
+0.0334389
+0.0336759
+0.0331241
+0.0311804
+0.0292716
+0.0273961
+0.0255383
+0.0237043
+0.0219359
+0.0202501
+0.0186695
+0.0172139
+0.0158938
+0.014661
+0.0136642
+0.0129475
+0.0121214
+0.0113434
+0.0108662
+0.0106191
+0.0106859
+0.0109397
+0.0108196
+0.00972862
+0.00842639
+0.00742082
+0.00675941
+0.00624208
+0.00622313
+0.00665736
+0.0073729
+0.00829002
+0.00848585
+0.00832966
+0.00842143
+0.00858994
+0.00855053
+0.00872817
+0.0089896
+0.00940185
+0.0100677
+0.010838
+0.0115939
+0.0124808
+0.0133233
+0.0141833
+0.0152283
+0.0163211
+0.0174577
+0.0185938
+0.0197342
+0.0210067
+0.0224179
+0.0239424
+0.0255364
+0.0272134
+0.0289591
+0.0307618
+0.0326121
+0.0345022
+0.0364231
+0.0383726
+0.0403468
+0.0743565
+0.0731184
+0.071905
+0.070411
+0.0685858
+0.0667825
+0.065003
+0.0632493
+0.0615236
+0.0598284
+0.0581605
+0.0565234
+0.054925
+0.0533686
+0.0518581
+0.0503958
+0.0489871
+0.0476376
+0.0463523
+0.0448319
+0.0432784
+0.0417821
+0.0403493
+0.0389828
+0.0376912
+0.0364855
+0.0353745
+0.0343674
+0.0334558
+0.0326641
+0.032003
+0.0314808
+0.0310927
+0.0308374
+0.0307364
+0.0307914
+0.0309892
+0.0313217
+0.0315567
+0.0312761
+0.0302454
+0.0282735
+0.0263363
+0.0244399
+0.0225882
+0.0208025
+0.0190255
+0.0173336
+0.015765
+0.0143485
+0.0131269
+0.0120119
+0.0111889
+0.0101667
+0.00925899
+0.00869889
+0.0084389
+0.0085045
+0.00878009
+0.00889818
+0.00841778
+0.00697485
+0.00581191
+0.0051036
+0.00446092
+0.00452219
+0.00505482
+0.00602013
+0.00708821
+0.00786519
+0.00788754
+0.00799589
+0.0083613
+0.00844568
+0.00857347
+0.00886554
+0.00935019
+0.0100177
+0.0107812
+0.0115256
+0.0124152
+0.0132232
+0.0141059
+0.0151385
+0.0162945
+0.0174281
+0.018629
+0.0198996
+0.0211622
+0.0225637
+0.0240789
+0.0256645
+0.0273336
+0.0290721
+0.0308682
+0.0327124
+0.0345971
+0.036513
+0.0384579
+0.040428
+0.0734737
+0.0722769
+0.0710754
+0.069264
+0.0674077
+0.065572
+0.0637587
+0.0619699
+0.0602075
+0.0584742
+0.0567725
+0.0551049
+0.053464
+0.0518638
+0.0503081
+0.0488012
+0.0473457
+0.045948
+0.0446141
+0.0433499
+0.0417603
+0.0402076
+0.0387165
+0.0372946
+0.0359441
+0.0346777
+0.0335068
+0.0324418
+0.0314846
+0.030642
+0.0299363
+0.0293774
+0.0289668
+0.0286926
+0.0285841
+0.0286432
+0.0288586
+0.0292154
+0.0294478
+0.0291469
+0.0290088
+0.0274146
+0.0254119
+0.023443
+0.0215169
+0.0196413
+0.0178296
+0.0161123
+0.0144925
+0.0129504
+0.0115994
+0.0104678
+0.00958129
+0.00833041
+0.00723287
+0.00654713
+0.00626085
+0.00632414
+0.00664079
+0.00713099
+0.00707266
+0.005865
+0.00458536
+0.00379645
+0.00319952
+0.00326538
+0.00396776
+0.00512803
+0.00633368
+0.00717019
+0.00793455
+0.00790408
+0.00829329
+0.00833914
+0.0085954
+0.00918298
+0.00971139
+0.0103591
+0.0110951
+0.0118201
+0.0126875
+0.0134807
+0.0143433
+0.0153638
+0.0164774
+0.0176267
+0.0188619
+0.0201733
+0.0215139
+0.0228953
+0.0243942
+0.0259773
+0.0276276
+0.0293487
+0.0311288
+0.0329585
+0.0348298
+0.0367336
+0.0386674
+0.0406273
+0.0726202
+0.0714356
+0.0700728
+0.0681682
+0.0662811
+0.0644134
+0.0625665
+0.0607425
+0.0589435
+0.0571719
+0.0554302
+0.0537213
+0.0520486
+0.0504094
+0.0488073
+0.0472526
+0.0457499
+0.0443023
+0.0429173
+0.0416016
+0.0403041
+0.038693
+0.0371412
+0.0356565
+0.0342477
+0.0329165
+0.0316805
+0.0305519
+0.0295428
+0.0286448
+0.0278886
+0.0272877
+0.026851
+0.0265552
+0.026438
+0.0265019
+0.0267378
+0.0271225
+0.0273518
+0.0270276
+0.0268786
+0.0267016
+0.0246479
+0.0226128
+0.0206092
+0.0186479
+0.0167435
+0.0149078
+0.013174
+0.0115959
+0.0102148
+0.00892348
+0.00779579
+0.00656882
+0.00528738
+0.00443233
+0.00408733
+0.00414632
+0.00453591
+0.00524916
+0.00558752
+0.00526159
+0.0040652
+0.00335181
+0.00297164
+0.00321328
+0.00379451
+0.00491083
+0.00592821
+0.00648031
+0.00681158
+0.0069923
+0.00703784
+0.00696793
+0.00719433
+0.00796211
+0.00913308
+0.0105959
+0.0118137
+0.012476
+0.0132611
+0.0140306
+0.0148817
+0.0158651
+0.0169406
+0.0180882
+0.0193255
+0.0206116
+0.0220018
+0.0234014
+0.0248792
+0.0264338
+0.0280652
+0.0297685
+0.031532
+0.0333463
+0.0351976
+0.0370825
+0.038999
+0.040943
+0.0717852
+0.0706255
+0.0690591
+0.0671259
+0.0652087
+0.0633093
+0.0614293
+0.0595705
+0.057735
+0.055925
+0.0541433
+0.0523925
+0.0506759
+0.0489972
+0.0473603
+0.0457565
+0.044203
+0.0427054
+0.041267
+0.0398969
+0.0386026
+0.0372457
+0.035631
+0.0340806
+0.0326037
+0.0312097
+0.0299033
+0.0287048
+0.0276284
+0.0266779
+0.0258643
+0.0252153
+0.0247438
+0.0244274
+0.0242999
+0.0243694
+0.024629
+0.0250463
+0.025272
+0.0249207
+0.024759
+0.0247736
+0.0240394
+0.0219553
+0.019894
+0.0178635
+0.0158653
+0.013925
+0.0120708
+0.0103295
+0.00878668
+0.00740162
+0.00606887
+0.00487115
+0.00349629
+0.0023536
+0.00193661
+0.00198675
+0.00251689
+0.00332624
+0.00424213
+0.00478363
+0.00436879
+0.00399819
+0.00372097
+0.00408645
+0.00457093
+0.00490623
+0.00556076
+0.00591382
+0.00609884
+0.00630004
+0.00614058
+0.0059695
+0.00623228
+0.00706564
+0.00831798
+0.00987432
+0.0116368
+0.0134148
+0.0141303
+0.0148686
+0.0156742
+0.0166107
+0.0176507
+0.0187831
+0.0199767
+0.0212347
+0.0226014
+0.0240508
+0.0255182
+0.0270499
+0.0286557
+0.0303259
+0.0320588
+0.0338448
+0.0356759
+0.0375456
+0.0394483
+0.0413725
+0.0710079
+0.0698353
+0.0680954
+0.0661367
+0.0641931
+0.0622628
+0.0603502
+0.0584571
+0.0565855
+0.0547375
+0.0529158
+0.051123
+0.0493623
+0.0476373
+0.045952
+0.0443109
+0.0427124
+0.0411606
+0.0396691
+0.0382418
+0.0368895
+0.0356206
+0.0341944
+0.0325758
+0.0310274
+0.0295604
+0.0281842
+0.0269093
+0.025758
+0.0247472
+0.0238694
+0.0231645
+0.0226504
+0.0223117
+0.022172
+0.0222482
+0.022535
+0.0229914
+0.0231832
+0.0228295
+0.0226529
+0.0226654
+0.0228697
+0.0214581
+0.0193674
+0.017294
+0.0152262
+0.0131923
+0.0112176
+0.00933971
+0.00763046
+0.00603189
+0.00454496
+0.00326631
+0.00177889
+0.000430781
+-0.000146779
+-9.30367e-05
+0.000986474
+0.00179335
+0.00266972
+0.00379916
+0.00395137
+0.003807
+0.00377668
+0.00389469
+0.00422413
+0.0047308
+0.00561975
+0.00597169
+0.0059587
+0.00621138
+0.00584587
+0.00560094
+0.00584762
+0.00668962
+0.00799693
+0.00959073
+0.0113742
+0.0132801
+0.0152626
+0.0159652
+0.0167147
+0.0175991
+0.0185839
+0.0196626
+0.0208218
+0.0220587
+0.0233773
+0.0248034
+0.0262919
+0.0278018
+0.0293772
+0.0310273
+0.032724
+0.0344755
+0.0362749
+0.0381152
+0.0399908
+0.041897
+0.0702903
+0.0691055
+0.0671893
+0.0652034
+0.0632311
+0.0612736
+0.0593324
+0.0574057
+0.0554987
+0.0536133
+0.051752
+0.0499174
+0.0481126
+0.0463411
+0.0446069
+0.0429144
+0.0412688
+0.039676
+0.0381272
+0.0366412
+0.0352274
+0.0338964
+0.0326582
+0.0311499
+0.0295268
+0.0279813
+0.0265267
+0.0251765
+0.0239419
+0.0228511
+0.0219119
+0.0211419
+0.0205773
+0.020212
+0.0200577
+0.0201418
+0.0204603
+0.0209639
+0.0210597
+0.0207589
+0.0205645
+0.0205744
+0.0207993
+0.0210498
+0.0189159
+0.0167967
+0.0146984
+0.0126316
+0.0106145
+0.00866889
+0.0068363
+0.00504906
+0.00330827
+0.00182807
+0.00028528
+-0.00128629
+-0.00186387
+-0.000581235
+0.000371653
+0.00136885
+0.0018378
+0.00227075
+0.00306118
+0.00387727
+0.00375959
+0.00400001
+0.00451432
+0.00515956
+0.00568375
+0.00620368
+0.00635439
+0.00662213
+0.00620509
+0.00591095
+0.00613126
+0.00692431
+0.00815768
+0.0097237
+0.0114866
+0.0133765
+0.0153465
+0.0172325
+0.0179374
+0.0187877
+0.0197173
+0.0207371
+0.0218394
+0.0230335
+0.0243262
+0.0256997
+0.0271806
+0.0286864
+0.0302301
+0.031836
+0.0335083
+0.0352314
+0.036994
+0.0388002
+0.0406443
+0.0425212
+0.0696059
+0.0683662
+0.0663432
+0.0643313
+0.0623313
+0.0603446
+0.0583725
+0.0564166
+0.0544783
+0.0525563
+0.0506562
+0.0487804
+0.0469319
+0.0451141
+0.0433308
+0.0415864
+0.0398861
+0.0382357
+0.036642
+0.0351029
+0.0336246
+0.0322274
+0.0309224
+0.0297218
+0.0281113
+0.0264833
+0.0249415
+0.023503
+0.0221879
+0.0210123
+0.0200008
+0.0191557
+0.0185312
+0.0181338
+0.0179617
+0.0180556
+0.0184114
+0.0189727
+0.0189514
+0.0186608
+0.0184998
+0.0185065
+0.0187562
+0.0192536
+0.0186822
+0.0165283
+0.0143855
+0.0122596
+0.0101613
+0.00811197
+0.00616073
+0.0043394
+0.00252117
+0.000615418
+-0.00054633
+-0.000589961
+-0.00126706
+-0.000540839
+-0.000250707
+-0.000367351
+0.000156023
+0.000899007
+0.00193405
+0.00312893
+0.00434743
+0.00441324
+0.00455457
+0.0051003
+0.00566427
+0.0062213
+0.00614363
+0.00645115
+0.00647012
+0.00641595
+0.00680072
+0.00767128
+0.00886706
+0.0103304
+0.0120045
+0.0138238
+0.0157379
+0.0177163
+0.0193107
+0.020104
+0.0210018
+0.0219638
+0.0230164
+0.0241568
+0.0254027
+0.0267459
+0.0281719
+0.0296762
+0.0311998
+0.0327715
+0.0343983
+0.0360849
+0.0378232
+0.0395948
+0.0414034
+0.0432474
+0.0689589
+0.0676018
+0.0655567
+0.0635213
+0.0614964
+0.0594819
+0.0574802
+0.0554928
+0.0535212
+0.0515674
+0.049633
+0.047717
+0.0458256
+0.0439621
+0.04213
+0.0403337
+0.0385782
+0.0368694
+0.0352139
+0.0336197
+0.0320913
+0.0306243
+0.0292479
+0.0279755
+0.0268002
+0.0250873
+0.0234539
+0.021918
+0.0205015
+0.0192307
+0.0181364
+0.0172045
+0.0165079
+0.0160819
+0.0158912
+0.0159973
+0.0163955
+0.0170164
+0.0168641
+0.0165427
+0.0164337
+0.0164704
+0.0167505
+0.0173018
+0.0180492
+0.0161503
+0.0140199
+0.0119098
+0.00982034
+0.00778315
+0.00575152
+0.00384773
+0.00195207
+-8.1117e-05
+-0.00126261
+-0.00132642
+-0.00132194
+-0.000560251
+0.000148078
+0.000624151
+0.00152966
+0.00182189
+0.0023641
+0.0029957
+0.00390258
+0.00497693
+0.00517054
+0.00574507
+0.00629495
+0.0066445
+0.00643195
+0.00670617
+0.00641836
+0.00625888
+0.00662437
+0.00752554
+0.00884795
+0.0103916
+0.0121359
+0.0140063
+0.0159583
+0.0179655
+0.0200112
+0.021562
+0.0224018
+0.0233094
+0.0243179
+0.0254196
+0.0266065
+0.0279012
+0.0292937
+0.0307432
+0.032271
+0.0338103
+0.0354017
+0.0370426
+0.0387379
+0.0404808
+0.0422627
+0.0440707
+0.06834
+0.0668964
+0.064829
+0.06277
+0.0607203
+0.0586807
+0.0566524
+0.0546367
+0.0526349
+0.0506488
+0.0486794
+0.0467285
+0.0447992
+0.0428911
+0.0410112
+0.0391636
+0.0373532
+0.0355855
+0.0338673
+0.0322066
+0.0306125
+0.0290928
+0.0276403
+0.0262902
+0.0250592
+0.0237987
+0.0220837
+0.0204452
+0.0189171
+0.0175207
+0.0163001
+0.0152974
+0.0145213
+0.0140326
+0.0138578
+0.0139793
+0.0144178
+0.0151194
+0.0148067
+0.0144329
+0.0143466
+0.0144795
+0.0147973
+0.0153828
+0.0162005
+0.0159275
+0.0137615
+0.0116048
+0.00946375
+0.00733181
+0.00523743
+0.00325891
+0.00142329
+-0.000466552
+-0.00104513
+-0.000505195
+-0.000123946
+0.000371776
+0.000251933
+0.00065775
+0.00163242
+0.0023378
+0.00339515
+0.00386492
+0.00425603
+0.00501309
+0.00581767
+0.00608371
+0.0065412
+0.00666966
+0.00714047
+0.00729883
+0.00693536
+0.00670389
+0.00702768
+0.00787432
+0.00912726
+0.0106469
+0.0123553
+0.0141968
+0.0161258
+0.0181144
+0.020145
+0.0222061
+0.0239207
+0.024773
+0.0257358
+0.0268023
+0.0279305
+0.0291664
+0.0305098
+0.031925
+0.0333988
+0.0349416
+0.0364972
+0.0381023
+0.0397525
+0.0414527
+0.0431972
+0.0449802
+0.0677399
+0.0662559
+0.0641679
+0.062087
+0.0600139
+0.0579495
+0.0558947
+0.0538506
+0.0518185
+0.0497998
+0.0477963
+0.0458099
+0.043843
+0.0418983
+0.039979
+0.0380837
+0.0362193
+0.0343934
+0.0326125
+0.0308843
+0.0292182
+0.0276255
+0.0261158
+0.0246825
+0.023367
+0.0221901
+0.0208
+0.0190808
+0.0174395
+0.015914
+0.0145593
+0.0134272
+0.0125779
+0.0120188
+0.0118362
+0.0120058
+0.0125088
+0.0133114
+0.0127473
+0.0123513
+0.0122512
+0.0125085
+0.0128966
+0.0135245
+0.0144389
+0.0155843
+0.0137813
+0.0116304
+0.00949761
+0.00739876
+0.00532153
+0.00328153
+0.0014484
+0.000116422
+0.000809302
+-0.000113179
+9.0243e-05
+7.53011e-05
+0.000227722
+0.000997383
+0.0018689
+0.00236536
+0.0033667
+0.00407129
+0.00497494
+0.00546645
+0.00592898
+0.00651605
+0.00701433
+0.00702893
+0.00751119
+0.00803979
+0.00788056
+0.00764467
+0.00793176
+0.00867292
+0.00981937
+0.0112546
+0.0129039
+0.0146953
+0.0165817
+0.018523
+0.0205132
+0.0225406
+0.0245961
+0.0263377
+0.0272448
+0.0282588
+0.0293584
+0.0305366
+0.0318222
+0.0332027
+0.0346287
+0.036125
+0.0376752
+0.0392448
+0.0408594
+0.0425154
+0.044218
+0.0459614
+0.0671928
+0.0656823
+0.0635755
+0.0614745
+0.0593801
+0.0572928
+0.0552135
+0.0531433
+0.051083
+0.049034
+0.0469979
+0.0449763
+0.0429712
+0.0409852
+0.039021
+0.0370823
+0.0351731
+0.0332987
+0.0314603
+0.0296651
+0.0279263
+0.0262553
+0.0246658
+0.0231705
+0.0217638
+0.0204951
+0.0193916
+0.0178354
+0.0160977
+0.0144614
+0.0129557
+0.0116691
+0.0106809
+0.0100529
+0.00983386
+0.0100579
+0.0106677
+0.0114989
+0.010708
+0.0102925
+0.0101949
+0.0105065
+0.0110707
+0.0117809
+0.0127975
+0.0140772
+0.0141295
+0.0120409
+0.00999254
+0.00796523
+0.00602465
+0.00430244
+0.00290499
+0.00218766
+0.00145306
+0.000722377
+0.000614763
+0.00060368
+0.00145813
+0.00202821
+0.00236299
+0.00323737
+0.00401188
+0.00461089
+0.00537099
+0.00608609
+0.00639234
+0.0067283
+0.00744791
+0.00787212
+0.00812582
+0.00829373
+0.00872062
+0.0089772
+0.00921789
+0.0098629
+0.0109139
+0.012222
+0.0137558
+0.0154487
+0.0172541
+0.0191401
+0.0210851
+0.0230741
+0.0250905
+0.0271297
+0.0288413
+0.0298011
+0.0308592
+0.0319983
+0.0332273
+0.0345517
+0.03595
+0.0373935
+0.0389069
+0.0404614
+0.0420411
+0.0436591
+0.0453187
+0.0470219
+0.0666971
+0.0651773
+0.0630536
+0.0609347
+0.058821
+0.0567132
+0.0546118
+0.0525178
+0.050432
+0.0483555
+0.0462895
+0.0442355
+0.0421953
+0.0401709
+0.0381649
+0.0361803
+0.0342208
+0.0322911
+0.0303968
+0.028544
+0.0267397
+0.0249973
+0.0233276
+0.0217448
+0.0202588
+0.0188893
+0.0176859
+0.0166846
+0.0149251
+0.0131677
+0.0115389
+0.0100816
+0.00891951
+0.00816768
+0.00789647
+0.00819072
+0.00889645
+0.00959856
+0.00873946
+0.00823413
+0.008203
+0.00857304
+0.0093579
+0.010192
+0.0113433
+0.0127341
+0.0143144
+0.0127677
+0.0108124
+0.00895328
+0.00728098
+0.00583991
+0.00474746
+0.00334045
+0.00174607
+0.00131221
+0.000696871
+0.00129244
+0.00179661
+0.00191983
+0.00223474
+0.00305278
+0.00354431
+0.00443663
+0.00482608
+0.0054789
+0.00663669
+0.00744358
+0.00784043
+0.00858986
+0.00893142
+0.00893763
+0.00927791
+0.00999554
+0.0107525
+0.0113308
+0.0122593
+0.013479
+0.0148839
+0.0164613
+0.0181663
+0.0199663
+0.0218378
+0.0237639
+0.0257324
+0.0277343
+0.0297627
+0.0314205
+0.0324322
+0.0335308
+0.0347139
+0.0359836
+0.0373388
+0.0387445
+0.040207
+0.0417334
+0.04329
+0.0448771
+0.0464957
+0.0481572
+0.0661882
+0.0644509
+0.0624083
+0.060376
+0.0583389
+0.056213
+0.0540922
+0.0519773
+0.0498689
+0.0477679
+0.0456753
+0.0435924
+0.0415206
+0.0394616
+0.0374175
+0.0353911
+0.0333854
+0.0314043
+0.0294531
+0.0275368
+0.0256618
+0.0238407
+0.0220869
+0.0204176
+0.0188554
+0.0173982
+0.0160836
+0.0149755
+0.0139992
+0.0121083
+0.010316
+0.00868549
+0.00733214
+0.00642898
+0.00608071
+0.00642378
+0.00729348
+0.0078354
+0.00678975
+0.0062159
+0.00622175
+0.00677767
+0.00772645
+0.00881936
+0.010111
+0.0116319
+0.0133204
+0.0137684
+0.0119676
+0.0103187
+0.00877696
+0.0068255
+0.00506361
+0.00375907
+0.00265857
+0.00181959
+0.00145207
+0.00188037
+0.00201659
+0.00211337
+0.00272358
+0.00333996
+0.00383126
+0.00427671
+0.00463916
+0.00524347
+0.00642266
+0.00760957
+0.00859054
+0.00931633
+0.0100729
+0.009952
+0.0102317
+0.0108731
+0.0118861
+0.0130036
+0.0138202
+0.0149165
+0.0162308
+0.0176884
+0.0192853
+0.0209895
+0.0227771
+0.0246299
+0.0265342
+0.0284798
+0.0304586
+0.0324647
+0.0340686
+0.0351215
+0.03627
+0.0374889
+0.0387916
+0.0401695
+0.041582
+0.0430596
+0.044596
+0.0461532
+0.0477443
+0.0493638
+0.0657484
+0.0637667
+0.0617014
+0.059645
+0.0575986
+0.0555632
+0.05354
+0.0515196
+0.0493954
+0.0472746
+0.0451591
+0.0430513
+0.0409521
+0.038863
+0.0367857
+0.0347224
+0.0326756
+0.0306488
+0.0286461
+0.0266719
+0.0247314
+0.0228363
+0.0209987
+0.0192352
+0.0175681
+0.0160115
+0.0146133
+0.0134042
+0.012444
+0.0113052
+0.00939188
+0.00762521
+0.0060432
+0.00493449
+0.00447585
+0.00491511
+0.00599447
+0.00624505
+0.00499445
+0.00432572
+0.00438623
+0.00517108
+0.00637455
+0.00776029
+0.00916874
+0.0107981
+0.0125903
+0.0144857
+0.0131489
+0.0110974
+0.00911093
+0.00724317
+0.00561394
+0.004413
+0.00339234
+0.0023855
+0.00215984
+0.00220287
+0.002268
+0.0023999
+0.00320989
+0.00383981
+0.00431454
+0.00456459
+0.0048779
+0.00544448
+0.00666674
+0.00786377
+0.00880355
+0.0100822
+0.0113135
+0.0112526
+0.011492
+0.0120664
+0.0129871
+0.0141284
+0.0154948
+0.0165169
+0.0177175
+0.0190889
+0.0205774
+0.0221826
+0.023881
+0.0256542
+0.0274877
+0.0293701
+0.0312927
+0.0332485
+0.0352319
+0.0367739
+0.0378727
+0.0390592
+0.0403111
+0.0416406
+0.0430246
+0.0444543
+0.045944
+0.0474881
+0.049045
+0.0506364
+0.0652436
+0.0631511
+0.061065
+0.0589864
+0.0569163
+0.0548556
+0.0528053
+0.0507667
+0.0487413
+0.0467309
+0.0447311
+0.0426066
+0.0404891
+0.0383794
+0.0362753
+0.0341812
+0.0321
+0.0300343
+0.0279876
+0.0259635
+0.0239657
+0.0220047
+0.0200912
+0.0182402
+0.0164727
+0.0148013
+0.0132763
+0.0119599
+0.0108881
+0.0101652
+0.00882957
+0.00690219
+0.00517292
+0.00382908
+0.00332183
+0.0038871
+0.00514617
+0.00503732
+0.00349392
+0.0026669
+0.0029323
+0.00393876
+0.00544614
+0.00712633
+0.00861428
+0.0103314
+0.0122012
+0.0141459
+0.0136756
+0.0117167
+0.00985336
+0.00813671
+0.00668473
+0.00560276
+0.00440011
+0.00350574
+0.00351903
+0.0034734
+0.00348845
+0.00355284
+0.00425792
+0.00480993
+0.00532622
+0.00563342
+0.00585147
+0.00637366
+0.00744838
+0.00855967
+0.00943036
+0.010613
+0.0119452
+0.0127903
+0.0130015
+0.0135119
+0.0143404
+0.015382
+0.0166458
+0.0180876
+0.0193342
+0.0206037
+0.0220121
+0.0235196
+0.0251278
+0.0268187
+0.0285776
+0.0303926
+0.0322543
+0.034155
+0.0360887
+0.0380502
+0.0395315
+0.0406738
+0.0418901
+0.0431711
+0.0445191
+0.0459112
+0.0473551
+0.0483541
+0.0493011
+0.0502943
+0.0647163
+0.0626061
+0.0605012
+0.0584026
+0.056311
+0.0542273
+0.0521523
+0.0500872
+0.0480332
+0.0459918
+0.0439647
+0.0419542
+0.0399625
+0.0379928
+0.0358707
+0.0337572
+0.0316542
+0.0295639
+0.0274865
+0.0254201
+0.0233759
+0.0213608
+0.0193839
+0.0174581
+0.0156023
+0.0138343
+0.0121889
+0.0107401
+0.00956978
+0.00873846
+0.00839947
+0.00674602
+0.00493261
+0.00348778
+0.00292594
+0.00355319
+0.00490516
+0.00440396
+0.00272956
+0.00182715
+0.00224904
+0.00345785
+0.00510113
+0.00690553
+0.00847684
+0.010217
+0.012071
+0.0140196
+0.0144944
+0.0126494
+0.0109328
+0.00938466
+0.00807654
+0.00705248
+0.00588131
+0.00522505
+0.00532427
+0.00531339
+0.00532077
+0.00527447
+0.00587981
+0.00632453
+0.00684514
+0.007107
+0.00727749
+0.0077207
+0.00863945
+0.00968244
+0.0104601
+0.0115421
+0.0128929
+0.014021
+0.01465
+0.0151048
+0.015852
+0.0168285
+0.017991
+0.0193327
+0.0208189
+0.0222264
+0.0235438
+0.0249775
+0.0264974
+0.028106
+0.0297889
+0.0315343
+0.0333323
+0.0351748
+0.0370553
+0.0389682
+0.040909
+0.0423362
+0.0435151
+0.0447564
+0.0456733
+0.0463749
+0.0471458
+0.0479774
+0.0488931
+0.0498882
+0.0642593
+0.0621337
+0.0600122
+0.0578959
+0.0557853
+0.0536811
+0.0515842
+0.0494953
+0.0474157
+0.0453465
+0.0432893
+0.0412458
+0.0392182
+0.0372092
+0.0352217
+0.0332599
+0.0313226
+0.0292245
+0.0271215
+0.0250259
+0.0229479
+0.0208929
+0.0188685
+0.0168857
+0.014961
+0.0131199
+0.0114011
+0.00986193
+0.00855075
+0.00761033
+0.00722118
+0.00717981
+0.00551103
+0.00425558
+0.00371298
+0.00423306
+0.00543036
+0.00461837
+0.00302249
+0.00232248
+0.0027675
+0.0040081
+0.005497
+0.00720235
+0.00876727
+0.0104608
+0.0122923
+0.0142198
+0.0155603
+0.0138579
+0.0122659
+0.0108303
+0.00957415
+0.0086392
+0.00769409
+0.00720488
+0.00727715
+0.00734833
+0.00735188
+0.0072408
+0.00773642
+0.00815243
+0.00860243
+0.0088786
+0.00901565
+0.00937706
+0.0101469
+0.0110604
+0.0117471
+0.0127772
+0.0140146
+0.0151414
+0.0163851
+0.0168281
+0.0175018
+0.0184131
+0.0194901
+0.020735
+0.0221273
+0.0236408
+0.0251677
+0.02652
+0.0279716
+0.0294999
+0.0311076
+0.0327828
+0.0345158
+0.0362983
+0.0381234
+0.0399853
+0.0418789
+0.0438003
+0.0442567
+0.0447509
+0.0453457
+0.0460371
+0.0467909
+0.0476046
+0.0485036
+0.0494782
+0.0638743
+0.0617354
+0.0595997
+0.0574682
+0.0553413
+0.0532196
+0.0511037
+0.0489944
+0.0468926
+0.0447992
+0.0427156
+0.0406433
+0.0385841
+0.0365402
+0.0345143
+0.0325097
+0.0305249
+0.0285666
+0.0266445
+0.0247671
+0.0227216
+0.0206442
+0.0185927
+0.0165769
+0.0146115
+0.01272
+0.0109407
+0.0093379
+0.00792293
+0.00689744
+0.00647483
+0.00663985
+0.00666803
+0.00565168
+0.00525212
+0.00563069
+0.00659698
+0.00560316
+0.00434341
+0.00371416
+0.00405552
+0.00520674
+0.00651103
+0.00805768
+0.00951409
+0.0111001
+0.0128408
+0.0146966
+0.016634
+0.0152086
+0.0137291
+0.0123486
+0.0112212
+0.0104328
+0.0096647
+0.00927997
+0.00933619
+0.00944768
+0.00941626
+0.00930789
+0.00969844
+0.0100939
+0.0105236
+0.0107978
+0.0108992
+0.0112182
+0.0118692
+0.012666
+0.0132699
+0.0141899
+0.0153348
+0.0164739
+0.0176238
+0.0186497
+0.0192598
+0.0200915
+0.0211105
+0.022265
+0.023567
+0.0249935
+0.0265245
+0.0281426
+0.0295212
+0.0309862
+0.0325204
+0.0341264
+0.0357944
+0.0375163
+0.0392848
+0.041094
+0.0429388
+0.043578
+0.0439708
+0.0444682
+0.0450539
+0.0456894
+0.0464196
+0.0472357
+0.0481223
+0.0490907
+0.0635624
+0.0614127
+0.0592654
+0.0571214
+0.0549811
+0.052845
+0.0507134
+0.0485872
+0.0464669
+0.0443535
+0.0422479
+0.0401515
+0.0380657
+0.0359923
+0.0339337
+0.0318927
+0.0298669
+0.0278624
+0.0258881
+0.0239515
+0.0220624
+0.0202343
+0.0184801
+0.0165525
+0.0145829
+0.0126859
+0.0108994
+0.00925178
+0.00781197
+0.00677913
+0.00633186
+0.00649735
+0.00728518
+0.0074217
+0.00712215
+0.00742217
+0.0081795
+0.00706314
+0.00605644
+0.00554625
+0.00581947
+0.00670441
+0.0079489
+0.00922342
+0.010538
+0.0120367
+0.0136777
+0.0154529
+0.0173053
+0.016679
+0.0152483
+0.0140139
+0.0130277
+0.0123431
+0.0117138
+0.0113984
+0.0114442
+0.0115646
+0.0115096
+0.0114211
+0.0117416
+0.0121204
+0.0125335
+0.0128013
+0.0128745
+0.0131546
+0.0137257
+0.0144203
+0.0149535
+0.0157756
+0.0168169
+0.0175471
+0.0182317
+0.0191402
+0.020246
+0.021493
+0.0223736
+0.0234262
+0.0246292
+0.0259615
+0.0273942
+0.0288353
+0.0303662
+0.031974
+0.0336477
+0.0353779
+0.0371567
+0.0388197
+0.0405314
+0.0422873
+0.0430786
+0.0433867
+0.0437786
+0.0442158
+0.044756
+0.0453828
+0.0460972
+0.046903
+0.0477958
+0.0487707
+0.0633249
+0.0611668
+0.0590106
+0.056857
+0.0547063
+0.052559
+0.0504154
+0.048276
+0.0461414
+0.0440124
+0.0418897
+0.0397744
+0.0376677
+0.0355711
+0.0334866
+0.0314166
+0.0293579
+0.0273161
+0.0252993
+0.0233138
+0.0213684
+0.0194753
+0.0176458
+0.0158814
+0.0142358
+0.0127394
+0.0112142
+0.00962223
+0.00823951
+0.00725737
+0.00682387
+0.0069777
+0.00773628
+0.00890587
+0.00910813
+0.00914191
+0.00860407
+0.00802224
+0.00782218
+0.00755565
+0.00775843
+0.00843872
+0.00945783
+0.0104218
+0.0116187
+0.0130217
+0.0145826
+0.016283
+0.0180891
+0.0182134
+0.0169118
+0.0158048
+0.0149373
+0.0143261
+0.0138064
+0.0135398
+0.0135784
+0.0137042
+0.0136336
+0.013559
+0.01383
+0.0141959
+0.0145955
+0.0148577
+0.0149101
+0.0151526
+0.0156688
+0.0162806
+0.0167548
+0.0169064
+0.017145
+0.0176081
+0.0182972
+0.0192108
+0.0203127
+0.0215814
+0.0229309
+0.023959
+0.0251365
+0.0264433
+0.0278613
+0.0293514
+0.0309164
+0.0325142
+0.0341614
+0.0358668
+0.0376225
+0.0394125
+0.0412388
+0.0427885
+0.042966
+0.043189
+0.0435213
+0.0439604
+0.044489
+0.0451113
+0.0458299
+0.0466404
+0.0475381
+0.0485182
+0.0631625
+0.0609987
+0.0588363
+0.056676
+0.0545183
+0.0523632
+0.0502113
+0.0480628
+0.0459183
+0.0437784
+0.0416438
+0.0395153
+0.037394
+0.0352812
+0.0331785
+0.0310879
+0.029006
+0.0269375
+0.02489
+0.022869
+0.0208823
+0.0189405
+0.0170518
+0.0152209
+0.0134884
+0.0118867
+0.0104999
+0.00942335
+0.00871043
+0.00827113
+0.00785241
+0.00798645
+0.00863627
+0.00969778
+0.0100016
+0.0090652
+0.00833165
+0.00777717
+0.00759099
+0.00774655
+0.00804733
+0.0078882
+0.00823525
+0.00911116
+0.0103546
+0.0118216
+0.0134864
+0.0152843
+0.0171738
+0.0191276
+0.0186832
+0.017686
+0.0169153
+0.016362
+0.0159254
+0.0156949
+0.0157282
+0.0158577
+0.0157759
+0.0157114
+0.0159459
+0.0163015
+0.0166904
+0.0169478
+0.0169844
+0.0171977
+0.0176698
+0.0173743
+0.0171941
+0.0171753
+0.0174102
+0.0178809
+0.0185832
+0.0194955
+0.0205821
+0.0218352
+0.0232276
+0.0243731
+0.0255801
+0.0269039
+0.0283323
+0.0298404
+0.0313814
+0.0329961
+0.034674
+0.0364064
+0.0381859
+0.0399722
+0.0417741
+0.0426788
+0.0427914
+0.0430153
+0.043349
+0.0437898
+0.0443204
+0.044945
+0.0456662
+0.046445
+0.0472962
+0.0482318
+0.0630758
+0.0609089
+0.0587432
+0.0565794
+0.0544178
+0.0522586
+0.0501022
+0.0479488
+0.045799
+0.0436532
+0.0415122
+0.0393766
+0.0372474
+0.0351258
+0.0330132
+0.0309114
+0.0288167
+0.0267336
+0.024668
+0.0226183
+0.0205943
+0.0186081
+0.0166733
+0.0148098
+0.0130052
+0.0113354
+0.00987146
+0.00871769
+0.00797333
+0.00771335
+0.00806323
+0.00886586
+0.00993834
+0.0106878
+0.0101517
+0.00914838
+0.00834353
+0.00785358
+0.00760837
+0.0070776
+0.00619269
+0.00598591
+0.00643636
+0.00751836
+0.00892769
+0.0105942
+0.0124245
+0.0143561
+0.0163531
+0.0183904
+0.0204325
+0.0196315
+0.018936
+0.0184335
+0.0180615
+0.0178586
+0.0178879
+0.0180203
+0.0179298
+0.0178731
+0.0180796
+0.018427
+0.0178422
+0.017292
+0.0170082
+0.0170042
+0.0172802
+0.0177895
+0.0176903
+0.017713
+0.0179317
+0.018389
+0.0190813
+0.0199801
+0.0210652
+0.0222911
+0.0236567
+0.0248672
+0.0260514
+0.02736
+0.0287761
+0.0302845
+0.0318663
+0.0335132
+0.0352081
+0.0369155
+0.0386716
+0.0404604
+0.0422776
+0.0425661
+0.0426959
+0.04292
+0.0432337
+0.0436544
+0.0441799
+0.0447904
+0.0454616
+0.046227
+0.0470819
+0.0480217
+0.0630651
+0.0608978
+0.0587317
+0.0565675
+0.0544054
+0.0522457
+0.0500887
+0.0479348
+0.0457843
+0.0436378
+0.041496
+0.0393595
+0.0372293
+0.0351066
+0.0329928
+0.0308895
+0.0287812
+0.0266853
+0.0246058
+0.0225474
+0.0205165
+0.018522
+0.016577
+0.0147014
+0.0128815
+0.0111932
+0.00970786
+0.00853199
+0.00777014
+0.00750312
+0.00786237
+0.00868359
+0.00991434
+0.0105723
+0.00987893
+0.00957587
+0.00879771
+0.00806606
+0.00723896
+0.00570227
+0.00461906
+0.00434805
+0.00494987
+0.00620426
+0.00785188
+0.00970488
+0.0116754
+0.0137044
+0.0157566
+0.0178417
+0.0199393
+0.0216239
+0.0209821
+0.0205298
+0.0202093
+0.0200282
+0.0200543
+0.0201889
+0.0200917
+0.0200411
+0.0191332
+0.0181497
+0.0173825
+0.0168172
+0.0165253
+0.0165212
+0.0168051
+0.0173627
+0.0178718
+0.0180067
+0.0183938
+0.0188399
+0.0195231
+0.0204195
+0.0214926
+0.0226954
+0.0240381
+0.0254986
+0.0266946
+0.0279732
+0.0293597
+0.0308396
+0.0323951
+0.0340162
+0.0356981
+0.0374327
+0.039213
+0.0410135
+0.0424409
+0.0424848
+0.0426366
+0.0428611
+0.0431664
+0.0435519
+0.0440351
+0.0446013
+0.0452665
+0.0460265
+0.0468766
+0.047812
+0.0631224
+0.0609562
+0.0587919
+0.0566296
+0.0544696
+0.0523121
+0.0501575
+0.0480062
+0.0458586
+0.0437153
+0.0415769
+0.0394443
+0.0373183
+0.0352004
+0.0330918
+0.0309938
+0.0288922
+0.0268049
+0.0247355
+0.0226889
+0.0206718
+0.0186939
+0.016769
+0.014893
+0.0130991
+0.0114405
+0.00997595
+0.00881772
+0.00808441
+0.00782812
+0.00817309
+0.00897096
+0.0101653
+0.0106185
+0.00976252
+0.00925895
+0.00912639
+0.00800189
+0.00661995
+0.00490534
+0.00358919
+0.00323316
+0.00400612
+0.00548082
+0.00729373
+0.00924059
+0.0112538
+0.0133231
+0.015426
+0.0175503
+0.0196791
+0.0218193
+0.0230548
+0.0226439
+0.0223655
+0.0222019
+0.0222255
+0.0221772
+0.0207829
+0.0195354
+0.0184643
+0.0176019
+0.0169744
+0.0165865
+0.0163245
+0.0163203
+0.0166077
+0.0171717
+0.0179388
+0.018042
+0.0182862
+0.0187844
+0.0195171
+0.0204593
+0.0215538
+0.0227986
+0.0241781
+0.0256708
+0.0272579
+0.0287407
+0.0300918
+0.0315374
+0.0330601
+0.03465
+0.0363026
+0.0380096
+0.0397641
+0.04156
+0.042428
+0.0424293
+0.0425101
+0.0427032
+0.0430037
+0.0433907
+0.0438756
+0.0444439
+0.0451114
+0.0458739
+0.0467268
+0.0476652
+0.063249
+0.0610873
+0.0589278
+0.0567707
+0.0546163
+0.0524648
+0.0503168
+0.0481725
+0.0460327
+0.0438979
+0.0417688
+0.0396465
+0.0375321
+0.0354269
+0.0333327
+0.0312508
+0.0291677
+0.0271017
+0.0250568
+0.0230388
+0.0210552
+0.0191093
+0.0171976
+0.0153604
+0.0136282
+0.0120426
+0.0106611
+0.00958604
+0.00891598
+0.00868427
+0.00899647
+0.00972718
+0.0108283
+0.0107585
+0.00982521
+0.00891913
+0.00795928
+0.00744175
+0.00637342
+0.00486053
+0.00359187
+0.00325041
+0.00401909
+0.00545836
+0.0072617
+0.00920194
+0.0112221
+0.0132963
+0.0154028
+0.01753
+0.019661
+0.021803
+0.0239538
+0.0247714
+0.0245277
+0.0243787
+0.0230852
+0.0216678
+0.0203367
+0.01906
+0.0179606
+0.0170728
+0.0164309
+0.0160355
+0.0159051
+0.016075
+0.0165359
+0.016884
+0.0174425
+0.0180444
+0.0183456
+0.0188422
+0.0195728
+0.0205124
+0.0216233
+0.0228643
+0.0242402
+0.0257292
+0.0273129
+0.0289753
+0.0307012
+0.0322467
+0.0337803
+0.0353379
+0.0369598
+0.0386378
+0.0403651
+0.0421354
+0.04238
+0.0423771
+0.042458
+0.0426514
+0.0429522
+0.0433396
+0.0438251
+0.0443941
+0.0450453
+0.0457887
+0.0466233
+0.0475442
+0.063451
+0.0612965
+0.0591446
+0.0569957
+0.0548501
+0.0527082
+0.0505705
+0.0484375
+0.0463099
+0.0441885
+0.0420741
+0.039968
+0.0378715
+0.0357863
+0.0337144
+0.0316577
+0.0296033
+0.0275699
+0.0255625
+0.0235814
+0.0216314
+0.0197207
+0.0178744
+0.0161146
+0.0144729
+0.0129909
+0.0117217
+0.0107532
+0.0101236
+0.00992015
+0.0101946
+0.0108705
+0.0118541
+0.0102873
+0.00868436
+0.00732921
+0.00638568
+0.0059702
+0.00622701
+0.00564179
+0.00457482
+0.00431649
+0.00490645
+0.00615975
+0.00779213
+0.00963503
+0.0115866
+0.0135938
+0.0156503
+0.0177389
+0.0198496
+0.0219759
+0.0241138
+0.0262603
+0.0256249
+0.0239584
+0.0223824
+0.0209173
+0.0195882
+0.0184136
+0.0174335
+0.0166794
+0.0161374
+0.0157309
+0.0155979
+0.0157711
+0.016226
+0.0165415
+0.017109
+0.0177681
+0.0183018
+0.0189152
+0.0197537
+0.0207727
+0.0218807
+0.023118
+0.0244869
+0.0259687
+0.0275426
+0.0291919
+0.0309057
+0.0326765
+0.0343409
+0.0359058
+0.0375031
+0.0391579
+0.0408631
+0.0424896
+0.0423805
+0.0423812
+0.0424855
+0.0426893
+0.0429666
+0.0433043
+0.0437493
+0.0442982
+0.0449472
+0.0456922
+0.0465257
+0.047429
+0.0637277
+0.0615829
+0.0594414
+0.0573036
+0.05517
+0.053041
+0.0509172
+0.0487994
+0.0466883
+0.0445849
+0.0424903
+0.0404059
+0.0383333
+0.0362747
+0.0342324
+0.0322085
+0.030184
+0.0281826
+0.0262115
+0.024278
+0.0223887
+0.0205486
+0.0187838
+0.0171177
+0.0155821
+0.0142162
+0.0130665
+0.0121956
+0.0116214
+0.0114446
+0.0116779
+0.012233
+0.0112706
+0.00935259
+0.00757675
+0.00605427
+0.00489611
+0.00443843
+0.00484981
+0.00587932
+0.0061282
+0.00592979
+0.00637892
+0.00736823
+0.00878779
+0.0104623
+0.0122831
+0.0141921
+0.0161727
+0.0182015
+0.020264
+0.022351
+0.0244561
+0.026575
+0.025072
+0.0234871
+0.0218772
+0.0203758
+0.0190089
+0.0177961
+0.01678
+0.0159951
+0.015429
+0.0151613
+0.0152076
+0.0155112
+0.016098
+0.0164828
+0.0170523
+0.0177135
+0.0182996
+0.018913
+0.0197517
+0.0207883
+0.0219856
+0.0233226
+0.0247814
+0.0263418
+0.027912
+0.0295473
+0.0312506
+0.0330115
+0.0347695
+0.0363613
+0.0380127
+0.0397163
+0.0414658
+0.0425578
+0.0424456
+0.0424463
+0.0425501
+0.042716
+0.0429441
+0.0432651
+0.0436892
+0.0442178
+0.0448474
+0.0455736
+0.046392
+0.0472978
+0.0640782
+0.0619455
+0.059817
+0.0576931
+0.0555744
+0.0534616
+0.0513552
+0.0492562
+0.0471656
+0.0450844
+0.0430142
+0.0409564
+0.0389132
+0.0368869
+0.0348775
+0.0328698
+0.0308871
+0.0289343
+0.0270181
+0.0251467
+0.0233279
+0.021568
+0.0198939
+0.018329
+0.0169037
+0.0156536
+0.0146174
+0.0138113
+0.013307
+0.0131529
+0.0133236
+0.0128338
+0.0107781
+0.00878779
+0.00691866
+0.00521627
+0.00392276
+0.0034271
+0.00398413
+0.00529068
+0.00682492
+0.0077486
+0.00810164
+0.00893974
+0.0101417
+0.0116356
+0.0133079
+0.0150878
+0.0169641
+0.0189082
+0.0209011
+0.0229301
+0.0249865
+0.0260923
+0.0244773
+0.0229571
+0.0215222
+0.0200602
+0.0186702
+0.0174338
+0.0163953
+0.0155911
+0.0150098
+0.0147344
+0.0147821
+0.0150943
+0.0156964
+0.0163317
+0.0168902
+0.0174634
+0.0182337
+0.019163
+0.0199912
+0.021016
+0.022201
+0.0235257
+0.0249727
+0.0265218
+0.0281563
+0.0298607
+0.0316088
+0.0334091
+0.0352485
+0.0368966
+0.0385251
+0.0402071
+0.041936
+0.042735
+0.0426232
+0.0426126
+0.0426071
+0.0427018
+0.0429083
+0.0432249
+0.0436494
+0.0441785
+0.0448086
+0.0455354
+0.0463545
+0.0472611
+0.0645012
+0.062383
+0.0602699
+0.0581626
+0.0560616
+0.0539679
+0.0518821
+0.0498053
+0.0477387
+0.0456837
+0.0436418
+0.0416151
+0.0396059
+0.0376109
+0.0356226
+0.0336594
+0.0317261
+0.0298283
+0.0279733
+0.0261704
+0.0244276
+0.022753
+0.0211727
+0.0197097
+0.0183917
+0.017244
+0.0162697
+0.015538
+0.0150915
+0.0149557
+0.0148642
+0.0127606
+0.0106914
+0.00868197
+0.00678571
+0.00504885
+0.00373843
+0.00324892
+0.00386644
+0.0052853
+0.00692148
+0.00863009
+0.00998791
+0.0106775
+0.0117115
+0.0130266
+0.0145541
+0.0162315
+0.017989
+0.0198328
+0.0217412
+0.0236984
+0.0256933
+0.0257094
+0.024068
+0.0225202
+0.0210556
+0.0196957
+0.0184344
+0.0173397
+0.0162986
+0.0154893
+0.014904
+0.0146267
+0.0146747
+0.0149891
+0.0155951
+0.0161932
+0.0167963
+0.0173726
+0.0181468
+0.0191399
+0.0202822
+0.0214516
+0.0226274
+0.0239286
+0.0253525
+0.0268798
+0.0284938
+0.0301791
+0.0319098
+0.033694
+0.0355238
+0.0373923
+0.039116
+0.0407735
+0.0424794
+0.0429571
+0.0427587
+0.0426662
+0.0426586
+0.0427532
+0.0429594
+0.0432757
+0.0436997
+0.0442282
+0.0448576
+0.0455837
+0.0464019
+0.0472924
+0.0647601
+0.0628937
+0.0607984
+0.0587101
+0.0566295
+0.0545575
+0.0524951
+0.0504436
+0.0484043
+0.0463787
+0.0443689
+0.042377
+0.0403971
+0.038428
+0.0364843
+0.0345701
+0.0326906
+0.0308522
+0.0290627
+0.0273248
+0.0256522
+0.0240629
+0.0225746
+0.0212084
+0.0199893
+0.0189111
+0.0180271
+0.0173696
+0.0169713
+0.0168507
+0.0150791
+0.0130103
+0.0109882
+0.00904497
+0.00723948
+0.00563214
+0.00443298
+0.00402863
+0.00454724
+0.00583782
+0.0074668
+0.0091799
+0.0109403
+0.0125529
+0.0134475
+0.0146104
+0.0159874
+0.0175307
+0.0192003
+0.0209466
+0.0227618
+0.024638
+0.0265625
+0.0255089
+0.0238536
+0.0222844
+0.0207652
+0.0193445
+0.0180402
+0.0169201
+0.0160227
+0.015368
+0.0149652
+0.0147927
+0.0148402
+0.0151512
+0.0157526
+0.016334
+0.0169867
+0.0175568
+0.0183232
+0.0193073
+0.0204793
+0.0216441
+0.0229536
+0.0243719
+0.0258951
+0.0273959
+0.0289812
+0.0306411
+0.0323566
+0.0341174
+0.0359256
+0.0377743
+0.0396579
+0.0413603
+0.0430431
+0.0430535
+0.0428497
+0.0427416
+0.042734
+0.0428284
+0.0430343
+0.04335
+0.0437733
+0.0443009
+0.0449293
+0.0456542
+0.0464712
+0.0473582
+0.0650409
+0.063476
+0.0614006
+0.0593335
+0.0572755
+0.0552278
+0.0531914
+0.0511678
+0.0491585
+0.0471654
+0.0451905
+0.0432257
+0.0412753
+0.0393503
+0.0374544
+0.0355924
+0.0337699
+0.0319923
+0.0302606
+0.0285919
+0.0269979
+0.0254927
+0.0240928
+0.0228178
+0.0216686
+0.0206761
+0.0198708
+0.0192763
+0.0189182
+0.0176275
+0.0156017
+0.0136114
+0.0116787
+0.00983415
+0.00816249
+0.00677513
+0.00581616
+0.00551417
+0.00590051
+0.00694848
+0.00836365
+0.0100378
+0.0117634
+0.0134626
+0.0151124
+0.0163351
+0.0175775
+0.018992
+0.0205432
+0.0222025
+0.0239399
+0.0257304
+0.0266452
+0.0251316
+0.023531
+0.0220321
+0.0206572
+0.0192166
+0.0179035
+0.0167747
+0.0158696
+0.0152153
+0.0148083
+0.0147195
+0.0149546
+0.015417
+0.0160402
+0.0166553
+0.0171191
+0.0177298
+0.0184911
+0.0194685
+0.0206314
+0.0219383
+0.0233401
+0.0247363
+0.0262382
+0.0278317
+0.029502
+0.0312303
+0.0329226
+0.0346708
+0.036455
+0.0382781
+0.040138
+0.0420298
+0.0435672
+0.043255
+0.0430364
+0.0429287
+0.0429172
+0.0430112
+0.0432162
+0.0435306
+0.0439521
+0.0444776
+0.0450956
+0.0457976
+0.0465643
+0.0474082
+0.065394
+0.064128
+0.0620743
+0.0600304
+0.0579971
+0.0559758
+0.0539677
+0.0519743
+0.0499974
+0.0480391
+0.046089
+0.0441564
+0.042249
+0.0403704
+0.0385248
+0.0367171
+0.034948
+0.0332259
+0.0315619
+0.0299658
+0.0284489
+0.0270246
+0.0257083
+0.0245077
+0.0234307
+0.022516
+0.0217788
+0.0212378
+0.0203153
+0.0183108
+0.0163541
+0.0144647
+0.0126559
+0.0109755
+0.00949288
+0.0083216
+0.00750106
+0.00726852
+0.00756528
+0.00843577
+0.00966512
+0.0111595
+0.0128216
+0.0145452
+0.0161653
+0.0178015
+0.0192857
+0.0205831
+0.0220226
+0.0235779
+0.0252278
+0.0269549
+0.0262753
+0.0247523
+0.0231254
+0.0215984
+0.0201932
+0.0188901
+0.0177626
+0.0168395
+0.0159726
+0.0153252
+0.0149212
+0.0148331
+0.0150664
+0.0155255
+0.0161471
+0.0167558
+0.0172169
+0.0178761
+0.0186314
+0.0196018
+0.0207572
+0.0220701
+0.0235017
+0.025018
+0.0266284
+0.0283168
+0.0299642
+0.0316735
+0.033439
+0.0352432
+0.0370866
+0.0388969
+0.0407305
+0.042596
+0.0437691
+0.0434428
+0.0432252
+0.043118
+0.0431219
+0.0432229
+0.0434269
+0.0437398
+0.0441363
+0.0445987
+0.0451614
+0.0458219
+0.0465762
+0.0474198
+0.0658089
+0.0648473
+0.0628172
+0.0607983
+0.0587916
+0.0567985
+0.0548205
+0.0528593
+0.0509169
+0.0489809
+0.0470651
+0.0451743
+0.0433117
+0.0414813
+0.0396865
+0.0379265
+0.0362135
+0.0345545
+0.0329576
+0.0314324
+0.0299898
+0.0286422
+0.0274026
+0.026262
+0.02526
+0.0244139
+0.0237358
+0.0230893
+0.0211208
+0.0192006
+0.0173446
+0.0155757
+0.0139087
+0.0123897
+0.0110977
+0.0100574
+0.0093885
+0.00920456
+0.00944244
+0.0101532
+0.0112052
+0.0125231
+0.0140605
+0.0157211
+0.017332
+0.018939
+0.0205835
+0.0222728
+0.0236127
+0.0250696
+0.0266273
+0.0273984
+0.0260251
+0.0245632
+0.0229229
+0.0213802
+0.0199145
+0.0185919
+0.0174451
+0.0164767
+0.0157319
+0.0152676
+0.0150592
+0.0151546
+0.0154076
+0.0158989
+0.0165434
+0.0170502
+0.0175891
+0.0182856
+0.0190247
+0.019976
+0.0211109
+0.0224031
+0.023827
+0.0253453
+0.0269361
+0.0286063
+0.0303428
+0.0321349
+0.0339737
+0.0357655
+0.0375833
+0.039439
+0.0413275
+0.0432446
+0.0440434
+0.0437192
+0.043497
+0.043369
+0.0433387
+0.043389
+0.0435496
+0.0438192
+0.044196
+0.0446607
+0.0452225
+0.0458822
+0.0466355
+0.0474781
+0.0662676
+0.065543
+0.0636269
+0.0616345
+0.059656
+0.0576928
+0.0557465
+0.0538187
+0.0518965
+0.0499965
+0.0481211
+0.0462735
+0.0444571
+0.0426716
+0.0409227
+0.0392182
+0.0375641
+0.0359675
+0.0344362
+0.0329795
+0.0316075
+0.0303319
+0.0291476
+0.0280777
+0.0271428
+0.0263572
+0.0257304
+0.0240019
+0.0221148
+0.0202888
+0.0185421
+0.0168929
+0.0153566
+0.0139957
+0.0128544
+0.0119427
+0.0113851
+0.0112342
+0.0114317
+0.0120255
+0.0129342
+0.0140914
+0.0154737
+0.0170266
+0.0186302
+0.0201662
+0.0217858
+0.0234447
+0.025165
+0.0266243
+0.0281279
+0.027338
+0.0258743
+0.0244716
+0.0228998
+0.0213151
+0.0198461
+0.0185201
+0.0173676
+0.0163721
+0.0156223
+0.0151546
+0.0149446
+0.0150408
+0.0152956
+0.0158169
+0.0165057
+0.0171126
+0.0177221
+0.0185716
+0.0196064
+0.0205778
+0.0216813
+0.0229414
+0.0243338
+0.0258276
+0.0273904
+0.0290345
+0.0307469
+0.0325167
+0.0343351
+0.0361947
+0.0380896
+0.0400147
+0.0416942
+0.0433389
+0.0443557
+0.0440001
+0.0437216
+0.0435516
+0.0434915
+0.0435416
+0.0437017
+0.0439704
+0.0443404
+0.0447992
+0.0453594
+0.0460171
+0.0467682
+0.047606
+0.0667326
+0.0660309
+0.0645009
+0.0625363
+0.0605872
+0.0586552
+0.0567395
+0.0548322
+0.0529469
+0.0510859
+0.0492521
+0.0474479
+0.0456717
+0.043933
+0.0422364
+0.0405871
+0.0389911
+0.0374554
+0.0359875
+0.0345961
+0.0332909
+0.0320729
+0.0309491
+0.0299437
+0.0290688
+0.0283367
+0.0269311
+0.0250731
+0.0232731
+0.0215455
+0.0198998
+0.0183537
+0.0169504
+0.015728
+0.0147075
+0.0139177
+0.0134423
+0.0133148
+0.0134836
+0.0139903
+0.0147862
+0.0158083
+0.0170521
+0.0184727
+0.0200327
+0.021519
+0.0230519
+0.0246801
+0.026353
+0.0280724
+0.0289185
+0.02736
+0.0258857
+0.0242934
+0.0227776
+0.0213792
+0.0200005
+0.0186855
+0.0175441
+0.0165592
+0.0158182
+0.0153566
+0.0151494
+0.0152442
+0.0154957
+0.0160105
+0.0167125
+0.01745
+0.01805
+0.0188848
+0.0199033
+0.0210533
+0.0222168
+0.0235273
+0.0249614
+0.0264827
+0.0280092
+0.029619
+0.0312994
+0.0330396
+0.0348307
+0.0366652
+0.038537
+0.0401786
+0.0417681
+0.0434099
+0.044642
+0.0442592
+0.0439823
+0.0438134
+0.0437536
+0.0437917
+0.0439298
+0.0441761
+0.044529
+0.044986
+0.0455438
+0.0461989
+0.0469472
+0.0477756
+0.0672657
+0.0665697
+0.0654366
+0.0635009
+0.0615824
+0.0596782
+0.0577849
+0.0559133
+0.0540656
+0.0522445
+0.0504494
+0.0486841
+0.0469548
+0.0452654
+0.0436206
+0.0420256
+0.0404865
+0.0390096
+0.0376024
+0.0362731
+0.0350279
+0.0338605
+0.0327981
+0.031851
+0.03103
+0.0298944
+0.0280616
+0.0262837
+0.0245725
+0.022931
+0.0213797
+0.0199486
+0.0186656
+0.017563
+0.0166364
+0.0159425
+0.0155292
+0.015419
+0.0155733
+0.0160053
+0.0167099
+0.0176306
+0.0187539
+0.0200544
+0.0214999
+0.0229989
+0.0244429
+0.025986
+0.0276151
+0.0289812
+0.0290941
+0.0275455
+0.0259234
+0.024312
+0.0227975
+0.0213973
+0.0201136
+0.018953
+0.0179849
+0.0170284
+0.0163087
+0.0158614
+0.0156609
+0.0157526
+0.0159961
+0.0164953
+0.0171775
+0.0179116
+0.0184738
+0.0192421
+0.0202196
+0.0213394
+0.0226116
+0.0240166
+0.0254945
+0.0270021
+0.0285981
+0.0302686
+0.0319899
+0.0336971
+0.035455
+0.0372588
+0.0388514
+0.0403742
+0.0419563
+0.043591
+0.0450041
+0.0446128
+0.0443172
+0.0441286
+0.0440482
+0.0440767
+0.0442138
+0.0444586
+0.0448093
+0.0452634
+0.0458179
+0.0464691
+0.0471911
+0.0479932
+0.0678654
+0.0671757
+0.0664301
+0.0645216
+0.0626315
+0.060752
+0.0588932
+0.057058
+0.0552482
+0.0534619
+0.0517067
+0.0499859
+0.0483031
+0.0466626
+0.0450688
+0.043527
+0.0420428
+0.0406225
+0.0392732
+0.0380023
+0.0368024
+0.0356931
+0.0346868
+0.0337927
+0.0328826
+0.0310716
+0.0293125
+0.0276152
+0.025978
+0.0244237
+0.0229734
+0.021648
+0.0204717
+0.019465
+0.0186194
+0.0180021
+0.0176371
+0.0175401
+0.0176756
+0.0180577
+0.0186851
+0.0195288
+0.0205486
+0.0217419
+0.023082
+0.0245447
+0.025941
+0.0274029
+0.0289544
+0.0300088
+0.0294321
+0.0278042
+0.0261239
+0.0245201
+0.0230042
+0.0215984
+0.0203014
+0.0191517
+0.0181912
+0.0174184
+0.0168814
+0.0165671
+0.0164329
+0.0165223
+0.01677
+0.0172468
+0.017812
+0.0181513
+0.0187063
+0.0194655
+0.0204323
+0.0215569
+0.0228267
+0.0242285
+0.0257373
+0.0273335
+0.0290074
+0.0307463
+0.0325398
+0.0343224
+0.0360346
+0.0376138
+0.0391763
+0.0406871
+0.0422574
+0.0437793
+0.0452848
+0.0449993
+0.0447063
+0.0445193
+0.0444396
+0.0444679
+0.0446038
+0.0448443
+0.0451715
+0.0455966
+0.0461151
+0.0467306
+0.0474395
+0.0482374
+0.0684866
+0.0678437
+0.0672177
+0.0655942
+0.0637316
+0.0618848
+0.060061
+0.0582597
+0.0564836
+0.0547377
+0.0530247
+0.0513481
+0.0497115
+0.048119
+0.0465751
+0.0450848
+0.0436536
+0.0422875
+0.040993
+0.039768
+0.0386196
+0.037564
+0.0366092
+0.0357632
+0.0340974
+0.0323545
+0.0306688
+0.0290358
+0.0274798
+0.0260154
+0.0246589
+0.0234291
+0.0223468
+0.0214102
+0.0206444
+0.0200894
+0.019763
+0.0196765
+0.0197953
+0.0201393
+0.0207037
+0.0214776
+0.0224137
+0.0235126
+0.024757
+0.0261261
+0.027532
+0.0289136
+0.0302706
+0.0311093
+0.0296229
+0.0280253
+0.0264161
+0.0248894
+0.0233974
+0.0220042
+0.0207113
+0.0195789
+0.0186362
+0.0178826
+0.0173113
+0.0170001
+0.0169368
+0.0171323
+0.0174085
+0.017858
+0.0182612
+0.0186066
+0.0191687
+0.0199286
+0.020874
+0.021976
+0.0232229
+0.0246021
+0.0260926
+0.0276698
+0.0293245
+0.0310457
+0.0328228
+0.0346474
+0.036338
+0.0379046
+0.0395099
+0.0409299
+0.0423639
+0.0438604
+0.0453786
+0.0453753
+0.0450848
+0.0448994
+0.0448205
+0.0448485
+0.0449833
+0.045224
+0.0455433
+0.0459581
+0.0464726
+0.0470835
+0.047787
+0.0485784
+0.0690804
+0.0684735
+0.0679294
+0.0667215
+0.0648863
+0.063073
+0.0612798
+0.0595133
+0.0577758
+0.0560701
+0.0543991
+0.0527662
+0.0511749
+0.0496294
+0.0481339
+0.0466934
+0.0453131
+0.0439985
+0.0427525
+0.0415711
+0.0404739
+0.0394679
+0.0385602
+0.0371351
+0.0354062
+0.0337287
+0.0321013
+0.0305444
+0.0290693
+0.0276891
+0.0264187
+0.0252746
+0.0242715
+0.0233988
+0.0227002
+0.0221967
+0.0219017
+0.0218237
+0.0219289
+0.0222419
+0.0227541
+0.0234605
+0.0243332
+0.025349
+0.0265074
+0.0277904
+0.0291816
+0.0305069
+0.0315027
+0.0314225
+0.0297902
+0.0281245
+0.026523
+0.0250057
+0.0235945
+0.022286
+0.0211237
+0.0201147
+0.0192825
+0.0185486
+0.0179949
+0.0176956
+0.0176209
+0.0177814
+0.0180369
+0.0185213
+0.0188921
+0.0192923
+0.0198349
+0.0205974
+0.0215154
+0.0226006
+0.0238149
+0.0251616
+0.0266208
+0.0281685
+0.0297955
+0.0314909
+0.0332443
+0.0350469
+0.0367669
+0.0383176
+0.0397565
+0.0411335
+0.0425606
+0.0440504
+0.0455776
+0.0458207
+0.0455331
+0.0453495
+0.0452713
+0.0452991
+0.0454326
+0.0456709
+0.0459992
+0.0464017
+0.0469031
+0.0474912
+0.0481616
+0.048921
+0.0697379
+0.0691369
+0.0686005
+0.0678966
+0.066091
+0.0643074
+0.0625496
+0.0608199
+0.0591209
+0.0574551
+0.0558256
+0.0542356
+0.0526888
+0.051189
+0.0497405
+0.0483478
+0.0470161
+0.0457505
+0.0445424
+0.0434098
+0.0423602
+0.0414001
+0.0401821
+0.0384653
+0.0367946
+0.0351726
+0.0336151
+0.0321316
+0.0307328
+0.0294307
+0.0282388
+0.0271714
+0.0262261
+0.0254207
+0.0247791
+0.0243187
+0.0240497
+0.0239787
+0.0240728
+0.0243599
+0.0248285
+0.0254775
+0.0262935
+0.0272379
+0.0283191
+0.0295234
+0.0308366
+0.0321532
+0.0328318
+0.0317598
+0.0300436
+0.0283928
+0.0268073
+0.0253071
+0.0239137
+0.0226068
+0.0214434
+0.0204493
+0.0196246
+0.0189952
+0.0186039
+0.0184472
+0.0185032
+0.0186561
+0.0188998
+0.0193812
+0.0197472
+0.0201744
+0.0207125
+0.0214438
+0.022327
+0.023381
+0.0245835
+0.025895
+0.027315
+0.0288254
+0.0304173
+0.0320799
+0.0338027
+0.035577
+0.0372975
+0.0387479
+0.040086
+0.041452
+0.0428685
+0.044348
+0.0458805
+0.0463655
+0.0460812
+0.0458998
+0.0458226
+0.04585
+0.0459819
+0.0462067
+0.046502
+0.0468804
+0.0473572
+0.0479294
+0.0485692
+0.0492779
+0.0704479
+0.0698626
+0.0693319
+0.0688657
+0.0673413
+0.0655917
+0.0638693
+0.0621764
+0.0605154
+0.0588891
+0.0573004
+0.0557525
+0.0542489
+0.0527934
+0.0513902
+0.0500435
+0.0487581
+0.04753
+0.0463668
+0.0452798
+0.0442746
+0.0432363
+0.0415302
+0.0398654
+0.0382482
+0.0366905
+0.0352002
+0.0337864
+0.032459
+0.031229
+0.0301083
+0.0291072
+0.0282155
+0.0274684
+0.0268758
+0.0264519
+0.0262049
+0.0261397
+0.0262244
+0.0264887
+0.0269214
+0.027521
+0.0282782
+0.029169
+0.0301811
+0.0313139
+0.0325549
+0.0335834
+0.0338985
+0.0321472
+0.0304529
+0.028813
+0.0272472
+0.0257726
+0.0243703
+0.0230883
+0.0219505
+0.0209745
+0.0201761
+0.0195644
+0.0191848
+0.0190184
+0.0190875
+0.0194052
+0.0199296
+0.020423
+0.0207923
+0.0212211
+0.0217501
+0.0224503
+0.0233169
+0.024328
+0.0254859
+0.0267711
+0.0281629
+0.0296301
+0.031181
+0.0328048
+0.0344915
+0.0362321
+0.0379474
+0.0392085
+0.0405313
+0.0418828
+0.0432852
+0.044751
+0.046274
+0.047003
+0.0467226
+0.0465437
+0.0464675
+0.0464621
+0.0465375
+0.0466852
+0.0469204
+0.0472562
+0.0476903
+0.0482201
+0.0488425
+0.0495472
+0.0711363
+0.0706121
+0.0701135
+0.0696632
+0.0686388
+0.0669231
+0.0652359
+0.0635794
+0.061956
+0.0603685
+0.0588198
+0.0573129
+0.0558514
+0.0544388
+0.053079
+0.0517763
+0.0505308
+0.0493412
+0.0482217
+0.0471775
+0.0462136
+0.0445997
+0.0429402
+0.0413271
+0.0397693
+0.0382736
+0.0368475
+0.0354993
+0.0342384
+0.0330746
+0.0320185
+0.0310666
+0.0302327
+0.0295367
+0.0289864
+0.0285938
+0.0283654
+0.0283053
+0.0283821
+0.0286264
+0.0290287
+0.0295857
+0.0302912
+0.0311343
+0.0320846
+0.0331525
+0.0343271
+0.0350638
+0.0343912
+0.0326582
+0.0309833
+0.029371
+0.0278365
+0.0263784
+0.0250075
+0.0237599
+0.022646
+0.0216928
+0.0209218
+0.0203326
+0.0199676
+0.0198077
+0.0198741
+0.0201795
+0.0206842
+0.0213871
+0.0219961
+0.0224335
+0.0229346
+0.0235997
+0.0244424
+0.025429
+0.0265388
+0.0277754
+0.0291245
+0.030571
+0.0320763
+0.033657
+0.035303
+0.0370054
+0.0385606
+0.0397845
+0.0410888
+0.0424225
+0.0438077
+0.0452565
+0.0467631
+0.0476879
+0.047392
+0.0471553
+0.0469814
+0.0469092
+0.0469393
+0.0470714
+0.0473048
+0.0476378
+0.0480685
+0.0485942
+0.0492119
+0.0499114
+0.0718178
+0.0713124
+0.0708599
+0.0704313
+0.0699809
+0.0682989
+0.0666465
+0.0650259
+0.0634396
+0.0618901
+0.0603804
+0.0589135
+0.0574927
+0.0561214
+0.0548034
+0.0535423
+0.0523299
+0.051182
+0.0501037
+0.0490996
+0.0476729
+0.046018
+0.0444087
+0.042851
+0.0413506
+0.0399142
+0.0385488
+0.0372623
+0.036063
+0.03496
+0.0339609
+0.033055
+0.0322726
+0.0316215
+0.0311081
+0.0307426
+0.0305303
+0.0304734
+0.0305444
+0.0307715
+0.0311475
+0.0316672
+0.0323274
+0.0331195
+0.0340227
+0.0350315
+0.0361293
+0.0365081
+0.034995
+0.0332878
+0.0316402
+0.030062
+0.0285619
+0.0271305
+0.0257996
+0.0245922
+0.0235178
+0.0226014
+0.0218495
+0.021286
+0.0209376
+0.0207989
+0.0208621
+0.0211532
+0.021632
+0.022305
+0.0231664
+0.0237669
+0.024252
+0.0248891
+0.0256896
+0.0266455
+0.0277252
+0.0289111
+0.0302095
+0.0316066
+0.0330898
+0.034627
+0.0362289
+0.0378898
+0.0392617
+0.040471
+0.0417226
+0.0430329
+0.0444128
+0.0458375
+0.0473071
+0.0482802
+0.0479104
+0.0476386
+0.0474664
+0.047395
+0.0474248
+0.0475556
+0.0477866
+0.0481163
+0.0485427
+0.0490633
+0.049651
+0.0503143
+0.072536
+0.0720357
+0.0715983
+0.0712133
+0.0708832
+0.0697163
+0.0680983
+0.0665131
+0.0649631
+0.0634509
+0.0619793
+0.0605511
+0.0591696
+0.0578381
+0.0565601
+0.0553306
+0.0541578
+0.0530495
+0.0520099
+0.0507482
+0.0490985
+0.0474925
+0.0459348
+0.0444306
+0.0429855
+0.0416055
+0.0402975
+0.0390686
+0.0379265
+0.0368792
+0.0359228
+0.0350676
+0.034331
+0.0337197
+0.0332387
+0.0328969
+0.0326986
+0.0326442
+0.0327105
+0.0329227
+0.0332756
+0.0337626
+0.0343825
+0.0351284
+0.0359898
+0.036945
+0.0377482
+0.0372057
+0.0357116
+0.0340403
+0.0324291
+0.0308842
+0.0294215
+0.0280341
+0.0267482
+0.0255856
+0.0245546
+0.0236684
+0.0229409
+0.0224048
+0.0220741
+0.0219424
+0.0220023
+0.0222785
+0.0227467
+0.0233877
+0.0242106
+0.0247934
+0.0254709
+0.0261974
+0.027057
+0.0279662
+0.0290126
+0.0301634
+0.0314101
+0.032756
+0.0341894
+0.0356997
+0.0372608
+0.0388777
+0.0399844
+0.0411774
+0.0424031
+0.0436931
+0.0450527
+0.046458
+0.0479174
+0.0487959
+0.0484301
+0.0481612
+0.047991
+0.0479203
+0.0479498
+0.0480612
+0.0482705
+0.0485778
+0.0489812
+0.0494784
+0.0500309
+0.0506709
+0.0733127
+0.0728178
+0.072385
+0.0720043
+0.0716884
+0.071173
+0.0695889
+0.0680384
+0.066524
+0.065048
+0.0636133
+0.0622227
+0.0608791
+0.0595858
+0.0583415
+0.0571465
+0.0560117
+0.0549409
+0.0538254
+0.052181
+0.050578
+0.0490205
+0.047513
+0.0460603
+0.0446679
+0.0433416
+0.0420875
+0.0409124
+0.0398232
+0.0388259
+0.0379097
+0.0371003
+0.0364049
+0.035829
+0.0353767
+0.0350557
+0.0348697
+0.0348175
+0.0348796
+0.0350787
+0.0354113
+0.0358693
+0.0364535
+0.0371578
+0.0379755
+0.0388877
+0.0394097
+0.038016
+0.0365445
+0.0349069
+0.033333
+0.031832
+0.0304149
+0.0290749
+0.0278372
+0.026722
+0.0257329
+0.0248732
+0.024182
+0.023674
+0.0233613
+0.0232175
+0.0232742
+0.0235355
+0.0239947
+0.0246182
+0.0254012
+0.0259645
+0.0266122
+0.0273083
+0.028138
+0.0291092
+0.0302084
+0.0314069
+0.0326945
+0.0340078
+0.0353905
+0.0368516
+0.0383823
+0.0397289
+0.040812
+0.0419816
+0.0431629
+0.0441829
+0.045286
+0.0464662
+0.0477179
+0.0490355
+0.0488693
+0.0486029
+0.0484342
+0.0483642
+0.0483755
+0.0484846
+0.0486921
+0.0489967
+0.0493967
+0.0498898
+0.0504733
+0.0511097
+0.074146
+0.0736567
+0.0732289
+0.0728525
+0.0725403
+0.0722932
+0.0711157
+0.0695992
+0.0681195
+0.0666789
+0.06528
+0.0639257
+0.0626186
+0.0613611
+0.0601463
+0.0589879
+0.0578892
+0.0568537
+0.0552652
+0.0536649
+0.0521076
+0.0505972
+0.0491381
+0.0477349
+0.0463928
+0.0451172
+0.0439139
+0.042789
+0.0417488
+0.0407892
+0.0399179
+0.0391501
+0.0384917
+0.0379475
+0.0375207
+0.0372183
+0.0370431
+0.0369929
+0.0370513
+0.0372388
+0.0375534
+0.0379856
+0.0385376
+0.0392045
+0.0399805
+0.0408102
+0.0401892
+0.0387849
+0.0374562
+0.0358822
+0.034353
+0.0328986
+0.0315295
+0.0302381
+0.02905
+0.0279781
+0.0270124
+0.0261948
+0.0255394
+0.0250589
+0.0247629
+0.0246219
+0.0246753
+0.0249219
+0.0253561
+0.0259684
+0.0267187
+0.0272616
+0.0278792
+0.0285444
+0.0293392
+0.0302719
+0.0313303
+0.0324916
+0.0337507
+0.0350891
+0.03651
+0.0378731
+0.0384442
+0.0391089
+0.039883
+0.0407538
+0.0417177
+0.0427721
+0.0439107
+0.0451269
+0.0464147
+0.0477683
+0.0491822
+0.0491244
+0.0489575
+0.0488845
+0.0488944
+0.0490023
+0.0492077
+0.0495091
+0.0499051
+0.0503932
+0.0509709
+0.0516004
+0.0750341
+0.0745505
+0.0741279
+0.0737562
+0.0734478
+0.0732037
+0.0726764
+0.0711932
+0.0697473
+0.0683411
+0.0669769
+0.0656576
+0.0643857
+0.0631556
+0.061976
+0.0608524
+0.059788
+0.058351
+0.0567531
+0.055196
+0.0536831
+0.0522183
+0.0508057
+0.0494499
+0.0481556
+0.046928
+0.0457723
+0.0446941
+0.0436984
+0.0427744
+0.0419444
+0.0412143
+0.0405895
+0.0400737
+0.0396699
+0.0393839
+0.0392184
+0.0391699
+0.0392252
+0.0394023
+0.0396997
+0.0401098
+0.040633
+0.0412661
+0.0420039
+0.0423632
+0.0409298
+0.0395518
+0.0382497
+0.0369618
+0.0354791
+0.0340728
+0.0327338
+0.0314874
+0.0303483
+0.0293182
+0.0283981
+0.0276215
+0.0270007
+0.0265468
+0.0262675
+0.0261346
+0.0261849
+0.0264175
+0.0268274
+0.0274069
+0.0280609
+0.0286626
+0.0292556
+0.0298902
+0.03065
+0.031544
+0.0325611
+0.03368
+0.0348978
+0.0355507
+0.0359092
+0.0363789
+0.036951
+0.0376421
+0.0384434
+0.039342
+0.0403396
+0.0414292
+0.0426036
+0.0438561
+0.0451801
+0.0465696
+0.0480155
+0.0495086
+0.0495485
+0.0494801
+0.049505
+0.0496115
+0.0498143
+0.0501122
+0.0505034
+0.0509602
+0.0514234
+0.0519748
+0.0759749
+0.0754974
+0.0750801
+0.0747131
+0.0744087
+0.0741678
+0.073991
+0.0728183
+0.0714053
+0.0700323
+0.0687018
+0.0674161
+0.0661731
+0.0649744
+0.0638284
+0.062738
+0.0614379
+0.0598423
+0.0582854
+0.0567703
+0.0553004
+0.0538796
+0.0525118
+0.0512012
+0.0499523
+0.0487699
+0.0476589
+0.0466244
+0.0456624
+0.0447788
+0.0439867
+0.043291
+0.0426966
+0.0422066
+0.0418233
+0.0415522
+0.0413954
+0.0413484
+0.0414007
+0.0415686
+0.0418506
+0.0422409
+0.042738
+0.0433403
+0.0440434
+0.0431604
+0.0417545
+0.0404169
+0.0391499
+0.0379529
+0.0365209
+0.0351597
+0.0338855
+0.0327086
+0.0316398
+0.0306903
+0.0298465
+0.0291405
+0.0285555
+0.0281267
+0.0278633
+0.027738
+0.0277854
+0.0279732
+0.0282623
+0.0287161
+0.0292788
+0.0299455
+0.0305952
+0.0312142
+0.0319716
+0.0328492
+0.0335984
+0.0337725
+0.0338674
+0.0341018
+0.0344484
+0.0349244
+0.0355253
+0.0362483
+0.037073
+0.038004
+0.0390359
+0.0401608
+0.0413713
+0.04266
+0.04402
+0.0454383
+0.0469111
+0.0484383
+0.0500148
+0.0501607
+0.0501888
+0.0503066
+0.0504618
+0.050701
+0.0510331
+0.0514231
+0.0518821
+0.0524287
+0.0769666
+0.0764953
+0.0760835
+0.0757213
+0.075421
+0.0751833
+0.0750089
+0.0744723
+0.0730913
+0.0717506
+0.0704525
+0.0691977
+0.0679818
+0.0668155
+0.0657016
+0.064526
+0.0629324
+0.0613756
+0.0598586
+0.0583843
+0.0569562
+0.0555777
+0.0542527
+0.0529852
+0.0517793
+0.0506396
+0.0495705
+0.048576
+0.047646
+0.0467999
+0.0460426
+0.0453785
+0.0448117
+0.0443451
+0.0439805
+0.0437227
+0.0435737
+0.0435281
+0.0435778
+0.0437374
+0.0440055
+0.0443777
+0.0448512
+0.0454254
+0.0454925
+0.0440519
+0.0426727
+0.0413635
+0.0401283
+0.0387511
+0.0373428
+0.0360126
+0.0347698
+0.0336238
+0.032585
+0.0316635
+0.0308453
+0.0301627
+0.0296267
+0.0292453
+0.0290247
+0.0289684
+0.029047
+0.0292885
+0.0296316
+0.0300647
+0.0306054
+0.0307569
+0.03074
+0.0308789
+0.0311716
+0.0316137
+0.0321787
+0.0323877
+0.0324581
+0.0326756
+0.0330372
+0.0335332
+0.0341585
+0.0349103
+0.035767
+0.0367311
+0.0377978
+0.0389585
+0.0402051
+0.04153
+0.0429259
+0.0443779
+0.0458848
+0.047445
+0.0490534
+0.0506723
+0.0508025
+0.0508699
+0.0510234
+0.0512283
+0.051503
+0.0518689
+0.052324
+0.052866
+0.0780056
+0.0775423
+0.077136
+0.0767788
+0.0764827
+0.0762483
+0.0760764
+0.0759672
+0.0748034
+0.073494
+0.0722272
+0.0709969
+0.0698123
+0.0686772
+0.067594
+0.0660232
+0.0644667
+0.0629478
+0.0614696
+0.0600349
+0.058647
+0.0573092
+0.0560252
+0.0547987
+0.0536336
+0.0525341
+0.0515044
+0.0505405
+0.0496471
+0.0488357
+0.0481104
+0.0474752
+0.0469338
+0.0464885
+0.0461408
+0.0458952
+0.0457532
+0.0457089
+0.0457563
+0.0459082
+0.0461637
+0.0465196
+0.0469714
+0.0475201
+0.0464414
+0.0450287
+0.0436803
+0.0424022
+0.0410937
+0.0396479
+0.0382725
+0.0369759
+0.0357665
+0.0346535
+0.0336465
+0.0327351
+0.0319428
+0.0312841
+0.0307676
+0.0304005
+0.0301884
+0.0301343
+0.0302102
+0.0304424
+0.0303099
+0.0298448
+0.0295353
+0.0293641
+0.0293465
+0.0294919
+0.0297982
+0.0302603
+0.0308494
+0.0310374
+0.0311109
+0.0313377
+0.0317146
+0.032231
+0.0328811
+0.0336614
+0.0345491
+0.0355462
+0.0366474
+0.0378434
+0.0391256
+0.0404858
+0.0419134
+0.0433998
+0.0449419
+0.0465337
+0.0481726
+0.0498015
+0.0512416
+0.0514752
+0.0515685
+0.0517488
+0.0520207
+0.052383
+0.0528304
+0.0533499
+0.0790581
+0.0786111
+0.0782229
+0.0778836
+0.0775917
+0.0773607
+0.0771912
+0.0770836
+0.07654
+0.0752607
+0.074019
+0.0728176
+0.0716631
+0.0705577
+0.0691147
+0.0675583
+0.066038
+0.0645561
+0.0631156
+0.0617192
+0.06037
+0.0590712
+0.0578263
+0.0566388
+0.0555124
+0.0544508
+0.0534575
+0.0525226
+0.0516635
+0.0508843
+0.0501886
+0.04958
+0.0490618
+0.048636
+0.0483038
+0.0480692
+0.0479337
+0.0478906
+0.0479358
+0.0480808
+0.0483249
+0.0486658
+0.0490979
+0.0489103
+0.0474701
+0.046089
+0.0447725
+0.0435265
+0.0420546
+0.0406431
+0.0393026
+0.038041
+0.0368666
+0.0357879
+0.0347984
+0.0339129
+0.0331487
+0.0325145
+0.0320178
+0.0316653
+0.0314617
+0.0313629
+0.0304491
+0.0296693
+0.0290306
+0.0285448
+0.028221
+0.0280506
+0.028032
+0.0281842
+0.0285044
+0.0289815
+0.0296023
+0.0297848
+0.0298614
+0.0300976
+0.0304898
+0.0310289
+0.0317037
+0.0325067
+0.0334213
+0.0344511
+0.0355861
+0.0368166
+0.0381316
+0.0395174
+0.0409736
+0.0424929
+0.0440687
+0.0456952
+0.0473672
+0.0490131
+0.0504757
+0.0519513
+0.0520381
+0.0522167
+0.0524863
+0.0528392
+0.0532685
+0.0537838
+0.0801566
+0.0797158
+0.079333
+0.0790092
+0.0787231
+0.0784955
+0.0783284
+0.0782224
+0.0781777
+0.077047
+0.0758303
+0.0746581
+0.0735325
+0.0722067
+0.0706506
+0.0691288
+0.0676437
+0.0661978
+0.0647938
+0.0634343
+0.0621224
+0.0608611
+0.0596535
+0.0585031
+0.0574133
+0.0563875
+0.0554222
+0.0545208
+0.0536936
+0.0529442
+0.052276
+0.051692
+0.0511952
+0.0507873
+0.0504692
+0.0502448
+0.0501152
+0.050073
+0.0501163
+0.050255
+0.0504886
+0.0508156
+0.0512298
+0.0499843
+0.0485759
+0.0472271
+0.0459433
+0.0445451
+0.0431056
+0.0417296
+0.0404252
+0.0391998
+0.0380611
+0.0370063
+0.036042
+0.0351878
+0.0344519
+0.0338421
+0.0330203
+0.0323072
+0.031336
+0.030285
+0.0293377
+0.0285275
+0.0278644
+0.0273578
+0.0270199
+0.0268475
+0.0268281
+0.0269871
+0.0273214
+0.0278116
+0.0284579
+0.0286156
+0.0286952
+0.028941
+0.0293487
+0.0299116
+0.0306213
+0.0314406
+0.0323853
+0.0334471
+0.0346151
+0.0358789
+0.0372252
+0.0386436
+0.0401315
+0.0416814
+0.0432868
+0.0449416
+0.0466407
+0.0483113
+0.0497946
+0.0513269
+0.0525566
+0.0527334
+0.0530004
+0.053356
+0.0537836
+0.0542939
+0.0812993
+0.0808647
+0.080481
+0.0801468
+0.0798631
+0.0796387
+0.0794741
+0.0793696
+0.0793255
+0.0788497
+0.0776613
+0.0765171
+0.0752993
+0.0737433
+0.0722202
+0.0707322
+0.0692815
+0.0678706
+0.0665018
+0.065178
+0.0639019
+0.0626764
+0.0615045
+0.0603894
+0.0593342
+0.0583419
+0.057403
+0.0565332
+0.0557359
+0.0550143
+0.0543715
+0.0538103
+0.0533332
+0.0529418
+0.0526368
+0.0524216
+0.0522974
+0.0522562
+0.0522976
+0.0524306
+0.0526545
+0.0529681
+0.0525596
+0.0511296
+0.0497536
+0.0484377
+0.0471078
+0.0456439
+0.0442402
+0.0429006
+0.0416329
+0.0403056
+0.0388923
+0.0375537
+0.0362981
+0.0351198
+0.0340302
+0.03305
+0.0321893
+0.0314579
+0.0304154
+0.0293315
+0.0283524
+0.0275132
+0.0268267
+0.0263001
+0.0259484
+0.0257748
+0.0257546
+0.0259202
+0.0262653
+0.0267701
+0.027441
+0.0275708
+0.0276534
+0.0279084
+0.0283309
+0.0289137
+0.0296453
+0.0304928
+0.031466
+0.0325577
+0.0337564
+0.0350512
+0.0364282
+0.0378764
+0.0393933
+0.0409712
+0.0426033
+0.0442837
+0.046007
+0.0476891
+0.0491888
+0.0507336
+0.0523244
+0.0533352
+0.0535991
+0.0539508
+0.0543737
+0.0548786
+0.0824766
+0.0820385
+0.0816552
+0.0813258
+0.0810463
+0.0808251
+0.0806629
+0.08056
+0.0805165
+0.0805327
+0.0795104
+0.0783923
+0.0768364
+0.0753122
+0.0738215
+0.0723664
+0.0709492
+0.069572
+0.0682375
+0.066948
+0.0657062
+0.064515
+0.0633771
+0.0622955
+0.0612732
+0.0603066
+0.0593985
+0.0585583
+0.057789
+0.0570934
+0.0564743
+0.0559342
+0.0554753
+0.0550991
+0.0548061
+0.0545995
+0.0544802
+0.0544399
+0.0544797
+0.0546074
+0.0548224
+0.0551237
+0.0537394
+0.052336
+0.0509715
+0.049519
+0.0477768
+0.0460728
+0.0444115
+0.0427979
+0.0412376
+0.0397368
+0.0383026
+0.0369426
+0.0356533
+0.0344414
+0.0333296
+0.0323282
+0.0314478
+0.0306987
+0.0296099
+0.028499
+0.0275017
+0.0266302
+0.0259151
+0.0253695
+0.0250046
+0.0248283
+0.0248119
+0.0249837
+0.0253444
+0.0258726
+0.0265661
+0.0266616
+0.0267471
+0.0270106
+0.0274469
+0.0280384
+0.028773
+0.0296516
+0.0306618
+0.031791
+0.0330191
+0.0343417
+0.0357478
+0.0372225
+0.038765
+0.0403675
+0.0420231
+0.0437257
+0.0454702
+0.0471518
+0.0486681
+0.0502288
+0.0518352
+0.053483
+0.0542797
+0.054627
+0.0550447
+0.0555435
+0.0836817
+0.0832484
+0.0828707
+0.0825462
+0.0822707
+0.0820529
+0.0818932
+0.0817918
+0.081749
+0.0817649
+0.0813765
+0.07993
+0.0784047
+0.0769115
+0.0754524
+0.0740294
+0.0726446
+0.0713003
+0.0699986
+0.0687422
+0.0675334
+0.066375
+0.0652696
+0.0642198
+0.0632284
+0.0622862
+0.0614074
+0.060595
+0.0598519
+0.0591806
+0.0585835
+0.058063
+0.0576211
+0.057259
+0.0569771
+0.0567784
+0.0566637
+0.0566242
+0.0566625
+0.0567852
+0.056992
+0.0561796
+0.0546108
+0.0527639
+0.0509443
+0.0491549
+0.0473993
+0.0456812
+0.0440052
+0.0423761
+0.0407996
+0.0392821
+0.0378307
+0.0364432
+0.0351221
+0.0338913
+0.0327608
+0.0317415
+0.0308443
+0.0300802
+0.0289351
+0.0277972
+0.0267738
+0.0258778
+0.0251413
+0.0245785
+0.0242017
+0.0240196
+0.0240026
+0.0241801
+0.0245526
+0.0251114
+0.0258402
+0.0258807
+0.0259688
+0.0262401
+0.026689
+0.0272909
+0.028045
+0.0289457
+0.0299746
+0.0311187
+0.0323708
+0.0337189
+0.0351518
+0.0366598
+0.0382339
+0.0398662
+0.0415487
+0.0432716
+0.0450337
+0.0467111
+0.0482413
+0.0498154
+0.0514347
+0.053095
+0.0547925
+0.0553817
+0.0557938
+0.0562859
+0.0849247
+0.0844977
+0.0841257
+0.083806
+0.0835347
+0.0833202
+0.0831629
+0.083063
+0.0830209
+0.0830366
+0.0830239
+0.0814976
+0.0800022
+0.0785394
+0.0771111
+0.0757193
+0.074366
+0.0730533
+0.0717834
+0.0705588
+0.0693817
+0.0682546
+0.0671801
+0.0661607
+0.0651932
+0.0642795
+0.0634283
+0.0626421
+0.0619236
+0.0612749
+0.0606985
+0.0601963
+0.0597702
+0.0594211
+0.0591495
+0.0589581
+0.0588477
+0.058809
+0.0588458
+0.0589641
+0.0581382
+0.0562383
+0.0543603
+0.0525065
+0.0506796
+0.0488812
+0.0471155
+0.0453868
+0.0436995
+0.0420587
+0.04047
+0.0389398
+0.0374734
+0.0360571
+0.0347213
+0.0334757
+0.0323307
+0.0312974
+0.0303871
+0.0296112
+0.0284136
+0.0272539
+0.0262093
+0.0252933
+0.0245392
+0.0239624
+0.0235757
+0.0233887
+0.0233712
+0.0235535
+0.0239358
+0.0245087
+0.0252592
+0.0252596
+0.0253498
+0.0256277
+0.0260872
+0.0267026
+0.0274694
+0.0283772
+0.0294205
+0.0305853
+0.0318584
+0.0332272
+0.0346805
+0.0362064
+0.0377963
+0.0394439
+0.0411421
+0.0428851
+0.0446675
+0.0463699
+0.047911
+0.0494956
+0.051125
+0.052795
+0.0545019
+0.0562117
+0.0566153
+0.0570678
+0.0862054
+0.0857849
+0.0854184
+0.0851036
+0.0848365
+0.0846253
+0.0844704
+0.0843721
+0.0843306
+0.084346
+0.0844183
+0.0830934
+0.0816272
+0.0801941
+0.0787958
+0.0774342
+0.0761114
+0.0748293
+0.0735902
+0.0723961
+0.0712493
+0.0701523
+0.0691073
+0.0681166
+0.0671716
+0.0662852
+0.0654601
+0.0646986
+0.0640031
+0.0633758
+0.0628186
+0.0623335
+0.0619221
+0.0615853
+0.0613233
+0.0611387
+0.0610322
+0.0609942
+0.0610297
+0.0599041
+0.0579793
+0.056074
+0.0541903
+0.0523305
+0.0504972
+0.0486921
+0.0469193
+0.045183
+0.0434879
+0.0418388
+0.0402414
+0.0387021
+0.0372271
+0.0358011
+0.0344554
+0.0331998
+0.032045
+0.0310021
+0.0300829
+0.0292989
+0.0280539
+0.0268787
+0.0258189
+0.0248886
+0.0241218
+0.0235347
+0.0231409
+0.0229504
+0.0229326
+0.0231184
+0.0235077
+0.0240908
+0.0248539
+0.0248095
+0.0249013
+0.0251842
+0.0256504
+0.0262573
+0.0270286
+0.0279508
+0.0290094
+0.0301901
+0.0314791
+0.0328638
+0.0343325
+0.0358731
+0.0374772
+0.0391382
+0.0408491
+0.0426041
+0.0443977
+0.0461303
+0.0476791
+0.0492712
+0.0509078
+0.0525847
+0.0542982
+0.056045
+0.0573024
+0.0577496
+0.0873598
+0.0870836
+0.0867462
+0.0864287
+0.0861657
+0.0859577
+0.0858051
+0.0857084
+0.0856675
+0.0856826
+0.0857538
+0.0847157
+0.0832781
+0.0818739
+0.0805048
+0.0791727
+0.0778794
+0.0766269
+0.0754173
+0.0742526
+0.0731349
+0.0720666
+0.0710498
+0.0700814
+0.0691629
+0.0683023
+0.0675018
+0.0667637
+0.0660899
+0.0654826
+0.0649435
+0.0644743
+0.0640767
+0.0637513
+0.0634982
+0.0633199
+0.0632171
+0.0631798
+0.061775
+0.0598302
+0.0579029
+0.055995
+0.0541085
+0.0522458
+0.0504095
+0.0486011
+0.0468248
+0.0450849
+0.043386
+0.0417328
+0.0401312
+0.0385876
+0.0370955
+0.0356675
+0.0343199
+0.0330627
+0.0319056
+0.0308576
+0.0299335
+0.029145
+0.0278623
+0.0266787
+0.0256106
+0.0246724
+0.0238988
+0.023306
+0.0229083
+0.022711
+0.022688
+0.0228758
+0.0232692
+0.0238581
+0.0246195
+0.0245171
+0.02461
+0.0248961
+0.0253677
+0.0259812
+0.0267605
+0.0276916
+0.0287597
+0.0299502
+0.0312492
+0.0326436
+0.0341218
+0.0356715
+0.0372843
+0.0389535
+0.0406722
+0.0424345
+0.044235
+0.0459939
+0.0475471
+0.0491435
+0.0507842
+0.0524651
+0.0541824
+0.0559328
+0.0577133
+0.0585039
+0.0884517
+0.0881788
+0.0879597
+0.0877864
+0.0875275
+0.0873228
+0.0871726
+0.0870773
+0.0870371
+0.087052
+0.087122
+0.0863632
+0.0849535
+0.0835774
+0.0822367
+0.0809331
+0.0796684
+0.0784444
+0.0772633
+0.0761268
+0.0750371
+0.0739962
+0.0730062
+0.0720589
+0.0711659
+0.0703298
+0.0695526
+0.0688365
+0.0681832
+0.0675947
+0.0670726
+0.0666184
+0.0662336
+0.0659189
+0.0656741
+0.0655018
+0.0654024
+0.0637416
+0.061781
+0.0598364
+0.0579093
+0.0560016
+0.0541154
+0.0522529
+0.0504168
+0.0486088
+0.0468327
+0.0450932
+0.0433945
+0.0417417
+0.0401405
+0.0385807
+0.0370805
+0.0356518
+0.0343037
+0.0330459
+0.0318883
+0.0308396
+0.0299149
+0.0291259
+0.0278389
+0.0266414
+0.0255537
+0.0246133
+0.0238377
+0.0232434
+0.0228446
+0.0226456
+0.0226225
+0.0228109
+0.0232054
+0.0237958
+0.0245213
+0.0244185
+0.0245118
+0.0247991
+0.0252724
+0.0258882
+0.0266702
+0.0276043
+0.0286757
+0.0298696
+0.0311719
+0.0325696
+0.034051
+0.0356038
+0.0372195
+0.0388915
+0.0406129
+0.0423776
+0.0441804
+0.0459604
+0.0475098
+0.0491071
+0.0507487
+0.0524305
+0.0541486
+0.0558998
+0.0576811
+0.0593295
+0.0895812
+0.0893118
+0.0890954
+0.0889325
+0.0888158
+0.0887209
+0.0885731
+0.0884794
+0.0884398
+0.0884545
+0.0885234
+0.0880344
+0.0866518
+0.0853032
+0.08399
+0.082714
+0.0814769
+0.0802806
+0.0791268
+0.0780175
+0.0769546
+0.07594
+0.074971
+0.0740483
+0.0731796
+0.0723667
+0.0716117
+0.0709164
+0.0702824
+0.0697116
+0.0692055
+0.0687654
+0.0683927
+0.0680879
+0.067851
+0.0676842
+0.0657931
+0.0638193
+0.06186
+0.0599168
+0.0579912
+0.0560851
+0.0542005
+0.0523398
+0.0505055
+0.0487007
+0.0469288
+0.0451935
+0.0434994
+0.0418515
+0.04025
+0.0386905
+0.0371947
+0.0357706
+0.0344271
+0.033174
+0.032021
+0.0309769
+0.0300563
+0.0292554
+0.0279578
+0.0267656
+0.0256831
+0.0247476
+0.0239764
+0.0233856
+0.0229893
+0.0227915
+0.0227686
+0.0229557
+0.0233478
+0.0239347
+0.0246053
+0.0245028
+0.0245958
+0.0248821
+0.0253551
+0.0259802
+0.0267595
+0.0276906
+0.0287588
+0.0299494
+0.0312484
+0.0326428
+0.034121
+0.0356708
+0.0372836
+0.0389528
+0.0406716
+0.0424338
+0.0442344
+0.0460123
+0.04756
+0.0491557
+0.0507957
+0.052476
+0.0541927
+0.0559425
+0.0577225
+0.0595298
+0.0907419
+0.0904759
+0.0902624
+0.0901016
+0.0899882
+0.0899234
+0.0899119
+0.089913
+0.089874
+0.0898884
+0.0899562
+0.0897279
+0.0883719
+0.0870499
+0.0857634
+0.0845142
+0.0833039
+0.0821342
+0.0810068
+0.0799236
+0.0788864
+0.0778969
+0.0769475
+0.0760488
+0.0752032
+0.0744125
+0.0736784
+0.0730027
+0.0723871
+0.071833
+0.0713419
+0.0709151
+0.0705538
+0.0702584
+0.069909
+0.0679135
+0.0659303
+0.0639607
+0.0620059
+0.0600674
+0.0581468
+0.056246
+0.054367
+0.0525122
+0.0506841
+0.0488859
+0.0471209
+0.0453931
+0.0437067
+0.0420669
+0.040474
+0.0389235
+0.037437
+0.0360225
+0.0346887
+0.0334454
+0.0323013
+0.0312664
+0.0303547
+0.0295315
+0.0282465
+0.027067
+0.0259971
+0.0250734
+0.0243125
+0.0237301
+0.0233396
+0.0231448
+0.0231223
+0.0233065
+0.0236928
+0.0242714
+0.0248583
+0.0247569
+0.0248489
+0.0251323
+0.0256007
+0.026219
+0.0269915
+0.0279149
+0.0289748
+0.0301568
+0.0314472
+0.0328332
+0.0343032
+0.0358469
+0.0374551
+0.03912
+0.0408345
+0.0425927
+0.0443894
+0.0461682
+0.0477108
+0.0493016
+0.050937
+0.0526127
+0.0543251
+0.0560708
+0.0578468
+0.0596504
+0.0919401
+0.0916777
+0.0914669
+0.0913083
+0.0911981
+0.0911341
+0.0911228
+0.0911642
+0.0912581
+0.0913524
+0.0914191
+0.0914425
+0.0901123
+0.0888162
+0.0875557
+0.0863325
+0.085148
+0.0840039
+0.082902
+0.0818439
+0.0808313
+0.0798617
+0.0789353
+0.0780595
+0.0772359
+0.0764662
+0.0757521
+0.0750951
+0.0744967
+0.0739584
+0.0734815
+0.0730672
+0.0727166
+0.072108
+0.0701066
+0.0681169
+0.0661398
+0.0641766
+0.0622287
+0.0602973
+0.0583843
+0.0564915
+0.0546209
+0.052775
+0.0509564
+0.0491681
+0.0474136
+0.0456968
+0.0440221
+0.0423945
+0.0408145
+0.0392775
+0.0378049
+0.036402
+0.035079
+0.0338461
+0.0327136
+0.0316923
+0.0307931
+0.0299656
+0.0287001
+0.02754
+0.0264892
+0.0255832
+0.0248379
+0.0242682
+0.0238864
+0.0236962
+0.0236742
+0.0238542
+0.0242317
+0.0247977
+0.0252991
+0.0251995
+0.0252899
+0.0255684
+0.026029
+0.0266276
+0.0273885
+0.0282989
+0.029345
+0.0305127
+0.0317886
+0.0331604
+0.0346165
+0.0361468
+0.0377422
+0.039395
+0.041098
+0.0428454
+0.0446319
+0.0464271
+0.0479614
+0.0495441
+0.0511717
+0.05284
+0.0545453
+0.0562842
+0.0580536
+0.059851
+0.0931745
+0.0929155
+0.0927076
+0.0925511
+0.0924441
+0.092381
+0.0923699
+0.0924106
+0.0925033
+0.0926477
+0.0928436
+0.0930279
+0.091872
+0.0906011
+0.0893658
+0.0881677
+0.0870082
+0.0858889
+0.0848115
+0.0837775
+0.0827885
+0.0818374
+0.0809336
+0.0800797
+0.0792771
+0.0785274
+0.0778321
+0.0771928
+0.0766109
+0.0760875
+0.0756241
+0.0752216
+0.0743711
+0.072366
+0.0703719
+0.0683899
+0.066421
+0.0644664
+0.0625274
+0.0606056
+0.0587026
+0.0568204
+0.054961
+0.0531269
+0.0513208
+0.0495457
+0.0478051
+0.0461028
+0.0444434
+0.0428317
+0.0412653
+0.0397424
+0.0382843
+0.0368987
+0.0355941
+0.0343797
+0.0332654
+0.0322615
+0.0313787
+0.030551
+0.0293107
+0.0281758
+0.0271496
+0.0262665
+0.0255411
+0.0249874
+0.0246168
+0.0244322
+0.0244109
+0.0245855
+0.024952
+0.025502
+0.0259183
+0.025821
+0.0259093
+0.0261812
+0.0266217
+0.0272069
+0.0279521
+0.0288447
+0.0298717
+0.0310195
+0.0322755
+0.0336273
+0.0350641
+0.0365757
+0.0381532
+0.0397888
+0.0414757
+0.0432078
+0.04498
+0.0467872
+0.04831
+0.0498817
+0.0514987
+0.0531567
+0.0548521
+0.0565816
+0.058342
+0.0601308
+0.0944436
+0.0941881
+0.0939829
+0.0938285
+0.0937247
+0.0936625
+0.0936515
+0.0936918
+0.0937832
+0.0939256
+0.0941188
+0.0943624
+0.0936499
+0.0924035
+0.0911926
+0.0900188
+0.0888834
+0.0877881
+0.0867342
+0.0857234
+0.0847533
+0.0838237
+0.0829417
+0.0821086
+0.081326
+0.0805954
+0.0799181
+0.0792956
+0.0787292
+0.0782201
+0.0777693
+0.0766926
+0.0746856
+0.0726891
+0.0707041
+0.0687317
+0.0667729
+0.0648289
+0.0629011
+0.060991
+0.0591005
+0.0572312
+0.0553851
+0.0535649
+0.0517735
+0.0500139
+0.0482896
+0.0466045
+0.044963
+0.04337
+0.0418191
+0.0403171
+0.0388805
+0.0375169
+0.0362346
+0.0350424
+0.0339498
+0.0329668
+0.0321034
+0.0312792
+0.030069
+0.0289638
+0.0279665
+0.02711
+0.0264078
+0.0258726
+0.0255149
+0.0253369
+0.0253163
+0.0254847
+0.0258384
+0.02637
+0.0266868
+0.0265924
+0.0266781
+0.0269423
+0.0273768
+0.0279464
+0.0286724
+0.0295433
+0.0305467
+0.0316702
+0.0329013
+0.0342284
+0.0356409
+0.037129
+0.038684
+0.0402981
+0.0419645
+0.0436773
+0.0454311
+0.0472214
+0.0487548
+0.0503126
+0.0519161
+0.0535612
+0.0552442
+0.0569617
+0.0587108
+0.0604886
+0.0957459
+0.0954939
+0.0952916
+0.0951393
+0.0950373
+0.0949773
+0.0949664
+0.0950061
+0.0950962
+0.0952367
+0.0954272
+0.0956676
+0.095445
+0.0942223
+0.0930351
+0.0918848
+0.0907728
+0.0897005
+0.0886694
+0.0876809
+0.0867282
+0.08582
+0.0849587
+0.0841456
+0.0833821
+0.0826697
+0.0820096
+0.0814031
+0.0808514
+0.0803557
+0.0790674
+0.0770599
+0.0750626
+0.0730763
+0.0711017
+0.0691402
+0.0671928
+0.0652609
+0.0633458
+0.0614491
+0.0595727
+0.0577183
+0.0558883
+0.0540851
+0.0523115
+0.0505707
+0.048866
+0.0472014
+0.0455814
+0.0440103
+0.0424787
+0.0410008
+0.0395891
+0.0382508
+0.0369939
+0.035827
+0.0347591
+0.0337996
+0.032958
+0.0321404
+0.0309639
+0.0298918
+0.0289266
+0.0280993
+0.0274225
+0.0269075
+0.0265638
+0.0263928
+0.026373
+0.0265347
+0.0268747
+0.0273861
+0.0275946
+0.0275033
+0.0275862
+0.0278417
+0.0282653
+0.0288338
+0.0295379
+0.030384
+0.0313606
+0.0324559
+0.0336583
+0.0349567
+0.0363409
+0.0378015
+0.0393299
+0.0409185
+0.0425606
+0.0442503
+0.0459823
+0.0477519
+0.0492929
+0.0508342
+0.0524218
+0.0540515
+0.0557197
+0.057423
+0.0591585
+0.0609232
+0.0970803
+0.0968317
+0.0966322
+0.096482
+0.0963814
+0.0963224
+0.0963117
+0.0963508
+0.0964397
+0.0965782
+0.0967661
+0.0970032
+0.0972563
+0.0960566
+0.0948924
+0.0937649
+0.0926754
+0.0916254
+0.0906162
+0.0896456
+0.0887132
+0.0878256
+0.0869841
+0.0861901
+0.0854449
+0.0847498
+0.0841061
+0.0835148
+0.0829772
+0.081489
+0.079482
+0.0774849
+0.0754985
+0.0735237
+0.0715615
+0.0696129
+0.0676792
+0.0657616
+0.0638615
+0.0619806
+0.0601207
+0.0582838
+0.0564721
+0.0546882
+0.0529348
+0.0512151
+0.0495326
+0.0478891
+0.0462867
+0.0447341
+0.0432293
+0.041778
+0.0403934
+0.0390827
+0.0378534
+0.0367138
+0.0356725
+0.0347383
+0.03392
+0.0331244
+0.0319838
+0.0309307
+0.0299977
+0.0291995
+0.0285475
+0.0280518
+0.0277209
+0.0275574
+0.0275385
+0.0276934
+0.0280192
+0.0285071
+0.0286415
+0.0285536
+0.0286334
+0.0288797
+0.0292882
+0.0298523
+0.0305364
+0.0313556
+0.0323028
+0.0333672
+0.0345378
+0.0358044
+0.037157
+0.0385867
+0.0400852
+0.041645
+0.0432596
+0.044923
+0.04663
+0.0483759
+0.0499215
+0.0514439
+0.0530132
+0.0546253
+0.0562765
+0.0579635
+0.0596832
+0.0614329
+0.0984453
+0.0982002
+0.0980035
+0.0978554
+0.0977562
+0.097698
+0.0976875
+0.097726
+0.0978137
+0.0979502
+0.0981355
+0.0983692
+0.0986511
+0.0979056
+0.0967636
+0.0956582
+0.0945905
+0.093562
+0.0925739
+0.0916198
+0.0907077
+0.0898399
+0.0890174
+0.0882417
+0.087514
+0.0868354
+0.0862072
+0.0856305
+0.0839544
+0.0819491
+0.0799536
+0.0779686
+0.0759948
+0.0740333
+0.072085
+0.070151
+0.0682324
+0.0663308
+0.0644475
+0.0625842
+0.0607428
+0.0589253
+0.057134
+0.0553714
+0.0536404
+0.0519405
+0.0502763
+0.0486538
+0.0470773
+0.0455517
+0.0440748
+0.0426523
+0.0412971
+0.0400159
+0.0388162
+0.0377057
+0.0366926
+0.035785
+0.0349912
+0.03422
+0.0330927
+0.032073
+0.0311742
+0.0304069
+0.0297813
+0.0293065
+0.02899
+0.028833
+0.0288149
+0.028963
+0.0292747
+0.0297425
+0.0298129
+0.0297284
+0.0298051
+0.0300418
+0.0304347
+0.030978
+0.0316553
+0.0324462
+0.0333624
+0.034394
+0.0355309
+0.0367632
+0.0380818
+0.039478
+0.0409439
+0.0424722
+0.0440565
+0.0456909
+0.0473702
+0.0490898
+0.0506371
+0.0521387
+0.0536877
+0.0552801
+0.0569123
+0.058581
+0.060283
+0.0620158
+0.0998397
+0.099598
+0.0994041
+0.0992581
+0.0991603
+0.099103
+0.0990925
+0.0991306
+0.099217
+0.0993516
+0.0995343
+0.0997647
+0.100043
+0.0997684
+0.098648
+0.0975639
+0.0965174
+0.0955096
+0.0945386
+0.0936037
+0.0927111
+0.0918621
+0.091058
+0.0902998
+0.0895888
+0.0889261
+0.0883128
+0.0864604
+0.0844578
+0.0824648
+0.0804821
+0.0785104
+0.0765507
+0.0746038
+0.0726707
+0.0707527
+0.068851
+0.0669669
+0.065102
+0.063258
+0.0614368
+0.0596405
+0.0578712
+0.0561271
+0.0544145
+0.0527374
+0.0510991
+0.0495036
+0.0479551
+0.0464583
+0.0450111
+0.0436192
+0.042295
+0.041045
+0.0398763
+0.0387961
+0.0378122
+0.0369321
+0.0361635
+0.035394
+0.034303
+0.0333204
+0.0324561
+0.0317198
+0.0311206
+0.0306666
+0.0303642
+0.0302137
+0.0301965
+0.0303378
+0.0306355
+0.0310833
+0.0310947
+0.0310137
+0.0310872
+0.0313142
+0.0316914
+0.0322134
+0.0328734
+0.0336442
+0.0345287
+0.0355264
+0.0366282
+0.0378248
+0.0391076
+0.0404684
+0.0418997
+0.0433943
+0.0449461
+0.0465493
+0.0481987
+0.0498898
+0.0514361
+0.052915
+0.0544419
+0.0560129
+0.0576244
+0.059273
+0.0609558
+0.0626699
+0.101262
+0.101024
+0.100833
+0.100689
+0.100593
+0.100536
+0.100526
+0.100563
+0.100648
+0.100781
+0.100961
+0.101188
+0.101462
+0.101644
+0.100545
+0.0994814
+0.0984552
+0.0974675
+0.0965122
+0.0955966
+0.0947228
+0.093892
+0.0931054
+0.092364
+0.091669
+0.0910117
+0.0890037
+0.0870045
+0.0850148
+0.0830352
+0.0810664
+0.0791093
+0.0771647
+0.0752337
+0.0733173
+0.0714167
+0.0695331
+0.067668
+0.065823
+0.0639998
+0.0621995
+0.0604208
+0.05867
+0.0569497
+0.0552626
+0.053612
+0.0520013
+0.0504343
+0.0489153
+0.0474488
+0.0460328
+0.0446727
+0.0433806
+0.0421628
+0.041026
+0.0399769
+0.0390228
+0.0381706
+0.0374275
+0.0366593
+0.035607
+0.0346614
+0.0338314
+0.0331257
+0.0325524
+0.0321186
+0.03183
+0.0316859
+0.0316694
+0.0318042
+0.0320884
+0.0325166
+0.0324711
+0.0323935
+0.0324639
+0.0326813
+0.0330429
+0.0335439
+0.0341782
+0.0349386
+0.0357912
+0.0367547
+0.0378206
+0.0389807
+0.0402267
+0.0415509
+0.042946
+0.0444055
+0.0459231
+0.0474933
+0.049111
+0.0507718
+0.0523147
+0.0537695
+0.0552728
+0.0568208
+0.05841
+0.060037
+0.061699
+0.063393
+0.102712
+0.102477
+0.102289
+0.102147
+0.102052
+0.101996
+0.101986
+0.102023
+0.102107
+0.102238
+0.102415
+0.102639
+0.102909
+0.103225
+0.102453
+0.10141
+0.100404
+0.0994321
+0.0984949
+0.0975979
+0.0967422
+0.095929
+0.0951592
+0.0944339
+0.0935852
+0.0915813
+0.089586
+0.0876001
+0.0856242
+0.083659
+0.0817053
+0.0797638
+0.0778356
+0.0759217
+0.0740231
+0.072141
+0.0702769
+0.0684321
+0.0666062
+0.0648004
+0.063019
+0.0612641
+0.0595381
+0.0578436
+0.0561833
+0.0545606
+0.0529787
+0.0514416
+0.0499532
+0.048518
+0.0471342
+0.0458068
+0.0445476
+0.0433626
+0.0422581
+0.0412404
+0.0403161
+0.0394919
+0.0387741
+0.0380088
+0.0369949
+0.0360857
+0.0352892
+0.0346133
+0.034065
+0.0336507
+0.0333754
+0.0332373
+0.0332216
+0.0333502
+0.0336212
+0.0340307
+0.0339325
+0.0338583
+0.0339256
+0.0341338
+0.0344801
+0.0349605
+0.0355696
+0.0363009
+0.0371401
+0.0380695
+0.0390996
+0.0402228
+0.0414314
+0.0427183
+0.0440765
+0.0454997
+0.046982
+0.0485179
+0.0501026
+0.0517315
+0.053269
+0.0546984
+0.0561768
+0.0577006
+0.0592662
+0.0608704
+0.0625101
+0.0641828
+0.104187
+0.103956
+0.10377
+0.10363
+0.103537
+0.103482
+0.103472
+0.103508
+0.103591
+0.10372
+0.103895
+0.104116
+0.104382
+0.104693
+0.104373
+0.103349
+0.102362
+0.101405
+0.100486
+0.0996073
+0.098769
+0.0979725
+0.0972189
+0.0961897
+0.0941901
+0.0921993
+0.0902177
+0.0882461
+0.0862849
+0.0843351
+0.0823974
+0.0804727
+0.0785619
+0.0766661
+0.0747864
+0.072924
+0.0710774
+0.0692496
+0.0674433
+0.0656605
+0.0639031
+0.0621731
+0.0604731
+0.0588055
+0.0571732
+0.0555794
+0.0540274
+0.0525209
+0.051064
+0.049661
+0.0483099
+0.0470157
+0.0457898
+0.0446378
+0.0435655
+0.0425791
+0.0416845
+0.0408879
+0.040195
+0.0394339
+0.0384576
+0.0375838
+0.0368197
+0.0361724
+0.0356481
+0.0352524
+0.0349897
+0.0348575
+0.0348425
+0.0349651
+0.0352237
+0.0356151
+0.0354691
+0.0353981
+0.0354625
+0.0356617
+0.0359933
+0.0364538
+0.0370383
+0.0377412
+0.0385558
+0.0394593
+0.040454
+0.0415406
+0.042712
+0.0439614
+0.0452823
+0.0466688
+0.0481151
+0.0496159
+0.0511666
+0.0527627
+0.0542949
+0.055698
+0.0571506
+0.0586491
+0.06019
+0.0617702
+0.0633867
+0.0650368
+0.105688
+0.10546
+0.105276
+0.105139
+0.105046
+0.104992
+0.104982
+0.105018
+0.1051
+0.105227
+0.105399
+0.105617
+0.10588
+0.106187
+0.106303
+0.105298
+0.104326
+0.103387
+0.102486
+0.101624
+0.100803
+0.100022
+0.0988217
+0.0968279
+0.0948418
+0.092865
+0.0908979
+0.0889413
+0.0869958
+0.0850623
+0.0831416
+0.0812345
+0.079342
+0.0774652
+0.0756015
+0.0737557
+0.0719292
+0.0701235
+0.0683404
+0.0665816
+0.0648492
+0.0631451
+0.061472
+0.0598322
+0.0582288
+0.0566646
+0.0551432
+0.053668
+0.0522431
+0.0508726
+0.0495545
+0.0482937
+0.0471011
+0.0459819
+0.0449418
+0.0439862
+0.0431209
+0.0423513
+0.0416827
+0.0409267
+0.0399868
+0.0391471
+0.0384142
+0.0377942
+0.0372927
+0.0369147
+0.0366639
+0.0365372
+0.0365229
+0.0366398
+0.0368867
+0.0372601
+0.0370715
+0.0370036
+0.0370652
+0.0372558
+0.0375734
+0.0380147
+0.0385756
+0.0392509
+0.0400349
+0.0409057
+0.0418661
+0.0429169
+0.0440517
+0.0452641
+0.0465482
+0.047898
+0.0493082
+0.0507738
+0.0522902
+0.053853
+0.0553838
+0.0567646
+0.0581906
+0.0596629
+0.0611783
+0.0627336
+0.0643259
+0.0659525
+0.107212
+0.106987
+0.106806
+0.106671
+0.10658
+0.106526
+0.106516
+0.106552
+0.106632
+0.106757
+0.106928
+0.107142
+0.107401
+0.107704
+0.10805
+0.107256
+0.106299
+0.105377
+0.104493
+0.103648
+0.1028
+0.10148
+0.0994921
+0.0975111
+0.0955393
+0.0935771
+0.0916254
+0.0896847
+0.0877557
+0.0858393
+0.0839363
+0.0820467
+0.0801697
+0.078309
+0.0764657
+0.0746412
+0.0728369
+0.0710543
+0.0692952
+0.0675612
+0.0658545
+0.0641772
+0.0625317
+0.0609205
+0.0593464
+0.0578125
+0.0563221
+0.0548786
+0.0534859
+0.0521481
+0.0508632
+0.0496356
+0.048476
+0.0473893
+0.0463807
+0.0454554
+0.0446186
+0.0438753
+0.0432303
+0.04248
+0.0415753
+0.0407684
+0.0400651
+0.039471
+0.0389911
+0.0386297
+0.0383901
+0.0382686
+0.038255
+0.0383666
+0.0386025
+0.0389121
+0.0387316
+0.0386666
+0.0387256
+0.038908
+0.0392122
+0.0396353
+0.0401736
+0.0408225
+0.0415768
+0.042416
+0.0433429
+0.0443588
+0.0454576
+0.0466335
+0.0478808
+0.0491941
+0.0505682
+0.0519983
+0.0534799
+0.0550089
+0.0565298
+0.0578877
+0.0592933
+0.0607389
+0.0622281
+0.0637578
+0.0653251
+0.0669275
+0.108759
+0.108537
+0.108359
+0.108225
+0.108135
+0.108083
+0.108073
+0.108108
+0.108187
+0.108311
+0.108478
+0.10869
+0.108945
+0.109244
+0.109585
+0.10922
+0.108279
+0.107237
+0.105991
+0.104775
+0.103591
+0.102181
+0.100205
+0.0982385
+0.0962815
+0.0943348
+0.0923991
+0.090475
+0.0885632
+0.0866628
+0.0847747
+0.0829016
+0.0810443
+0.0792041
+0.0773822
+0.0755799
+0.0737985
+0.0720397
+0.0703052
+0.0685968
+0.0669166
+0.0652665
+0.0636492
+0.062067
+0.0605228
+0.0590194
+0.0575602
+0.0561486
+0.0547882
+0.053483
+0.0522309
+0.0510362
+0.0499092
+0.0488544
+0.0478767
+0.0469809
+0.0461717
+0.0454538
+0.0448315
+0.0440875
+0.0432165
+0.0424407
+0.0417656
+0.0411961
+0.0407365
+0.0403907
+0.0401616
+0.040045
+0.040032
+0.0401387
+0.0403642
+0.0406151
+0.0404422
+0.04038
+0.0404365
+0.0406112
+0.0409028
+0.0413085
+0.0418253
+0.0424489
+0.0431749
+0.0439835
+0.0448781
+0.04586
+0.0469237
+0.0480637
+0.0492748
+0.0505519
+0.05189
+0.0532847
+0.0547315
+0.0562265
+0.0577361
+0.0590663
+0.0604467
+0.0618738
+0.0633363
+0.0648398
+0.0663816
+0.0679591
+0.110327
+0.110109
+0.109933
+0.109801
+0.109713
+0.109661
+0.109652
+0.109686
+0.109764
+0.109886
+0.110051
+0.11026
+0.110511
+0.110805
+0.111142
+0.110604
+0.109308
+0.108041
+0.106803
+0.105596
+0.104422
+0.102922
+0.100961
+0.099009
+0.0970676
+0.095137
+0.0932179
+0.0913083
+0.089411
+0.0875274
+0.0856584
+0.083805
+0.0819682
+0.0801492
+0.0783493
+0.0765697
+0.0748119
+0.0730776
+0.0713683
+0.0696859
+0.0680326
+0.0664103
+0.0648215
+0.0632686
+0.0617544
+0.0602818
+0.0588539
+0.0574741
+0.0561459
+0.0548729
+0.0536532
+0.052491
+0.0513958
+0.0503722
+0.0494245
+0.0485573
+0.0477748
+0.0470813
+0.0464808
+0.0457434
+0.0449045
+0.0441585
+0.04351
+0.0429636
+0.0425232
+0.042192
+0.0419727
+0.0418607
+0.0418482
+0.0419503
+0.0421662
+0.042363
+0.0421973
+0.0421376
+0.0421917
+0.0423593
+0.0426388
+0.0430283
+0.0435246
+0.0441242
+0.044823
+0.0456025
+0.0464659
+0.0474149
+0.0484445
+0.0495495
+0.0507252
+0.0519666
+0.0532692
+0.0546287
+0.0560408
+0.0575018
+0.0589992
+0.0603016
+0.0616542
+0.063054
+0.0644979
+0.0659769
+0.0674927
+0.0690448
+0.111917
+0.111702
+0.111529
+0.111399
+0.111311
+0.11126
+0.111251
+0.111285
+0.111362
+0.111482
+0.111645
+0.11185
+0.112098
+0.112388
+0.11272
+0.111426
+0.110139
+0.108882
+0.107654
+0.106457
+0.105292
+0.103704
+0.101758
+0.0998216
+0.097896
+0.095979
+0.0940738
+0.0921814
+0.0903024
+0.0884378
+0.0865885
+0.0847554
+0.0829397
+0.0811425
+0.0793651
+0.0776088
+0.0758751
+0.0741656
+0.0724819
+0.0708261
+0.0691999
+0.0676057
+0.0660456
+0.0645222
+0.0630382
+0.0615963
+0.0601996
+0.0588513
+0.0575548
+0.0563122
+0.0551189
+0.0539882
+0.0529241
+0.0519306
+0.0510118
+0.050172
+0.0494151
+0.048745
+0.0481653
+0.0474428
+0.0466344
+0.0459165
+0.0452932
+0.0447686
+0.044346
+0.0440286
+0.0438185
+0.0437108
+0.0436988
+0.0437966
+0.0440034
+0.0441504
+0.0439914
+0.0439342
+0.0439861
+0.0441468
+0.0444151
+0.0447891
+0.0452661
+0.045843
+0.046516
+0.0472675
+0.0481011
+0.0490184
+0.050015
+0.0510861
+0.0522272
+0.0534337
+0.0547014
+0.0560261
+0.0574039
+0.058831
+0.0603039
+0.0615899
+0.0629149
+0.0642873
+0.065704
+0.0671623
+0.0686558
+0.0701821
+0.100255
+0.0989151
+0.0976054
+0.0963262
+0.0950804
+0.0938691
+0.0925596
+0.0912671
+0.0900023
+0.0887736
+0.0875825
+0.0863948
+0.0852147
+0.0840751
+0.0829776
+0.0819076
+0.0808431
+0.0798245
+0.0787986
+0.0777666
+0.0767727
+0.0758292
+0.0749379
+0.0741005
+0.0732656
+0.0724424
+0.0716145
+0.0707862
+0.0700076
+0.0692722
+0.0685988
+0.0675551
+0.0665352
+0.0655702
+0.0646529
+0.0637976
+0.0630013
+0.0622405
+0.0615483
+0.0609242
+0.0603682
+0.0598872
+0.059472
+0.0591305
+0.0588686
+0.0586874
+0.0585875
+0.0585686
+0.0586167
+0.0587466
+0.0589575
+0.059231
+0.0583651
+0.0574172
+0.0565384
+0.0557319
+0.0550008
+0.0543483
+0.0537772
+0.0531912
+0.0525081
+0.051908
+0.0513943
+0.0509697
+0.0506364
+0.0503962
+0.0502504
+0.0501999
+0.050245
+0.0503854
+0.0506202
+0.0507899
+0.0506273
+0.0505277
+0.050481
+0.0505292
+0.0505989
+0.0507632
+0.0510049
+0.0512983
+0.0515092
+0.0513766
+0.0513364
+0.0513726
+0.0515018
+0.0517236
+0.0520367
+0.0524396
+0.0529301
+0.0535059
+0.0541642
+0.0549021
+0.0557164
+0.0566039
+0.057561
+0.0585845
+0.0596709
+0.0608169
+0.062019
+0.0632742
+0.0989095
+0.0975508
+0.0962227
+0.0949263
+0.0936618
+0.0924319
+0.0912155
+0.0899041
+0.0886265
+0.0873784
+0.086168
+0.0849968
+0.0838094
+0.0826504
+0.0815338
+0.0804614
+0.0794025
+0.0783652
+0.0773524
+0.0763225
+0.0753096
+0.0743475
+0.0734382
+0.0725836
+0.0717735
+0.0709556
+0.0701318
+0.0693101
+0.0685151
+0.0677635
+0.067075
+0.0661618
+0.0651331
+0.0641479
+0.06321
+0.0623349
+0.0615197
+0.0607403
+0.0600308
+0.0593907
+0.0588202
+0.0583265
+0.0579001
+0.0575493
+0.0572802
+0.0570939
+0.0569913
+0.0569718
+0.0570213
+0.0571547
+0.0573715
+0.0575073
+0.0564601
+0.0554797
+0.0545697
+0.0537336
+0.052975
+0.0522972
+0.0517034
+0.0511965
+0.0505032
+0.0498789
+0.0493442
+0.0489017
+0.0485542
+0.0483037
+0.0481516
+0.0480989
+0.0481459
+0.0482924
+0.0485374
+0.0486414
+0.0484716
+0.0483711
+0.0483223
+0.0483728
+0.0484467
+0.0486179
+0.0488687
+0.049169
+0.0494224
+0.0492842
+0.0492423
+0.04928
+0.0494147
+0.0496458
+0.0499719
+0.0503913
+0.0509015
+0.0515
+0.0521837
+0.0529492
+0.0537931
+0.0547117
+0.0557014
+0.0567585
+0.0578791
+0.0590598
+0.060297
+0.0615873
+0.0975943
+0.096217
+0.0948702
+0.0935554
+0.0922734
+0.0910248
+0.0898123
+0.0885739
+0.0872778
+0.0860165
+0.0847866
+0.0835961
+0.0824342
+0.0812598
+0.0801238
+0.0790322
+0.077987
+0.0769407
+0.075933
+0.0749127
+0.0738825
+0.0729015
+0.0719739
+0.0711017
+0.070287
+0.0694829
+0.0686662
+0.0678727
+0.067061
+0.0662929
+0.065589
+0.0648123
+0.0637627
+0.0627652
+0.061811
+0.0609159
+0.0600814
+0.0592831
+0.058556
+0.0578996
+0.0573142
+0.0568074
+0.0563695
+0.0560091
+0.0557326
+0.0555411
+0.0554356
+0.0554156
+0.0554665
+0.0556036
+0.0558265
+0.0556585
+0.0545765
+0.0535616
+0.0526184
+0.0517508
+0.0509627
+0.0502578
+0.0496396
+0.0491114
+0.0485143
+0.0478642
+0.0473066
+0.0468449
+0.0464821
+0.0462203
+0.0460613
+0.0460062
+0.0460554
+0.0462085
+0.0464644
+0.0464968
+0.0463192
+0.0462176
+0.0461666
+0.0462194
+0.046298
+0.0464758
+0.0467374
+0.0470424
+0.0473406
+0.0471963
+0.0471534
+0.0471963
+0.0473369
+0.0475781
+0.0479183
+0.0483555
+0.048887
+0.0495098
+0.0502206
+0.0510156
+0.0518909
+0.0528426
+0.0538667
+0.054959
+0.0561157
+0.0573327
+0.0586064
+0.0599331
+0.096311
+0.094915
+0.0935495
+0.0922159
+0.0909154
+0.0896491
+0.0884177
+0.087224
+0.0859628
+0.0846834
+0.0834398
+0.0822298
+0.0810609
+0.0799024
+0.0787495
+0.0776386
+0.0765743
+0.0755528
+0.0745263
+0.0735155
+0.0724933
+0.0714934
+0.0705473
+0.0696573
+0.0688254
+0.0680405
+0.0672323
+0.0664332
+0.0656478
+0.064863
+0.0641434
+0.0634912
+0.0624382
+0.0614191
+0.0604542
+0.0595436
+0.0586896
+0.0578722
+0.0571271
+0.0564541
+0.0558536
+0.0553334
+0.0548838
+0.0545135
+0.0542293
+0.0540325
+0.0539241
+0.0539035
+0.0539558
+0.0540968
+0.0543258
+0.0538267
+0.0527166
+0.0516653
+0.0506868
+0.0497856
+0.0489658
+0.0482317
+0.0475872
+0.047036
+0.0465424
+0.0458655
+0.0452833
+0.0448008
+0.0444213
+0.0441473
+0.0439808
+0.0439231
+0.0439746
+0.0441349
+0.0444028
+0.0443568
+0.0441705
+0.0440679
+0.0440143
+0.0440697
+0.0441535
+0.0443378
+0.044612
+0.044922
+0.0452672
+0.0451162
+0.0450714
+0.0451227
+0.0452698
+0.0455219
+0.0458774
+0.0463338
+0.0468883
+0.0475373
+0.0482771
+0.0491035
+0.0500124
+0.0509992
+0.0520595
+0.0531889
+0.0543832
+0.0556382
+0.0569498
+0.0583142
+0.0950608
+0.0936462
+0.092262
+0.0909094
+0.08959
+0.0883053
+0.087056
+0.0858433
+0.08467
+0.083385
+0.0821239
+0.0808997
+0.0797114
+0.0785661
+0.0774118
+0.0762825
+0.075199
+0.0741644
+0.0731582
+0.0721409
+0.0711382
+0.0701255
+0.0691607
+0.0682525
+0.0674034
+0.0666155
+0.0658275
+0.0650228
+0.0642708
+0.0634765
+0.062741
+0.0620741
+0.0611635
+0.0601228
+0.0591367
+0.0582163
+0.057343
+0.056511
+0.0557477
+0.0550578
+0.0544419
+0.0539081
+0.0534465
+0.0530662
+0.0527742
+0.052572
+0.0524605
+0.0524394
+0.0524931
+0.052638
+0.0525841
+0.0520221
+0.0508794
+0.0497931
+0.0487771
+0.0478399
+0.0469862
+0.0462206
+0.0455477
+0.0449715
+0.0444958
+0.0438852
+0.0432764
+0.0427713
+0.0423735
+0.0420862
+0.0419115
+0.041851
+0.041905
+0.0420732
+0.0423542
+0.0422219
+0.0420262
+0.0419223
+0.041866
+0.0419242
+0.0420137
+0.0422052
+0.0424928
+0.0428086
+0.0432053
+0.0430471
+0.0430001
+0.0430607
+0.0432148
+0.0434789
+0.0438509
+0.0443282
+0.0449074
+0.0455847
+0.0463556
+0.0472157
+0.0481602
+0.0491842
+0.0502828
+0.0514513
+0.052685
+0.0539794
+0.0553303
+0.0567337
+0.0938022
+0.092412
+0.0910089
+0.0896375
+0.0882991
+0.0869953
+0.0857276
+0.0844969
+0.0833046
+0.0821246
+0.0808438
+0.0796028
+0.0783998
+0.0772351
+0.0761041
+0.0749659
+0.0738631
+0.0728095
+0.0718073
+0.0708075
+0.0697951
+0.0687958
+0.0678165
+0.0668901
+0.0660234
+0.0652189
+0.0644495
+0.0636565
+0.0628882
+0.0621362
+0.0613847
+0.0607029
+0.0599417
+0.0588794
+0.0578721
+0.0569314
+0.056038
+0.0551895
+0.054416
+0.0537146
+0.0530831
+0.0525355
+0.0520616
+0.0516712
+0.0513712
+0.0511635
+0.0510489
+0.0510272
+0.0510825
+0.0508706
+0.0504389
+0.0500981
+0.0490643
+0.0479479
+0.0468919
+0.0459162
+0.0450261
+0.0442266
+0.0435229
+0.0429195
+0.0424208
+0.0419258
+0.0412881
+0.0407584
+0.0403408
+0.0400388
+0.0398552
+0.0397915
+0.0398484
+0.0400252
+0.0403198
+0.0400896
+0.0398869
+0.0397817
+0.0397224
+0.0397837
+0.0398795
+0.0400789
+0.0403754
+0.0407034
+0.0411356
+0.0409907
+0.0409413
+0.041009
+0.0411739
+0.0414509
+0.041841
+0.042341
+0.042947
+0.0436547
+0.0444591
+0.0453552
+0.0463376
+0.0474009
+0.0485399
+0.0497494
+0.0510242
+0.0523597
+0.0537514
+0.0551949
+0.0925717
+0.0911719
+0.0897918
+0.0884015
+0.0870441
+0.0857212
+0.0844344
+0.0831854
+0.081975
+0.0808048
+0.0796034
+0.0783427
+0.0771236
+0.075944
+0.0748052
+0.0736805
+0.0725687
+0.071496
+0.0704751
+0.0695084
+0.0684861
+0.0675083
+0.0665153
+0.0655725
+0.0646882
+0.0638668
+0.0631108
+0.0623372
+0.0615525
+0.0608334
+0.0600638
+0.0593651
+0.0587398
+0.0576925
+0.0566641
+0.055703
+0.0547895
+0.0539214
+0.0531295
+0.0524172
+0.051774
+0.0512125
+0.0507234
+0.0503225
+0.0500145
+0.0498011
+0.0496834
+0.0496622
+0.049248
+0.0487403
+0.0482978
+0.0479418
+0.047281
+0.0461249
+0.0450344
+0.0440176
+0.0430882
+0.0422521
+0.0415149
+0.0408819
+0.040358
+0.0399466
+0.0393214
+0.0387647
+0.0383254
+0.0380075
+0.037814
+0.0377469
+0.0378068
+0.0379931
+0.0382776
+0.0379598
+0.0377506
+0.0376468
+0.0375841
+0.037649
+0.0377517
+0.0379598
+0.0382621
+0.0386077
+0.0390463
+0.0389488
+0.0388969
+0.0389682
+0.0391491
+0.0394404
+0.0398501
+0.0403748
+0.0410099
+0.0417504
+0.0425908
+0.0435254
+0.0445481
+0.0456532
+0.0468347
+0.048087
+0.0494048
+0.0507829
+0.0522166
+0.0537014
+0.0913772
+0.0899588
+0.0885719
+0.0872031
+0.0858267
+0.0844848
+0.0831789
+0.0819107
+0.0806822
+0.0794938
+0.0783479
+0.0771243
+0.0758857
+0.0746907
+0.0735367
+0.0724264
+0.0713079
+0.0702263
+0.0691867
+0.0682017
+0.0672229
+0.0662282
+0.0652563
+0.0643026
+0.0634006
+0.0625623
+0.0617904
+0.0610407
+0.0602604
+0.0595289
+0.0587924
+0.0580784
+0.0574391
+0.0565655
+0.0555163
+0.0545349
+0.0536016
+0.0527139
+0.0519035
+0.0511742
+0.0505153
+0.0499396
+0.0494455
+0.0490343
+0.0487181
+0.048499
+0.0483781
+0.0477713
+0.0471461
+0.0466156
+0.0461614
+0.0457888
+0.0454678
+0.0443317
+0.0432073
+0.0421472
+0.0411757
+0.0402999
+0.0395263
+0.038861
+0.0383095
+0.0378768
+0.0373795
+0.0367935
+0.0363304
+0.0359949
+0.0357905
+0.0357196
+0.0357829
+0.0359797
+0.0361677
+0.0358374
+0.0356182
+0.0355179
+0.0354514
+0.0355201
+0.0356309
+0.0358494
+0.0361577
+0.0365232
+0.0369679
+0.0369241
+0.0368693
+0.0369445
+0.0371432
+0.0374501
+0.0378814
+0.0384329
+0.0390995
+0.0398755
+0.0407546
+0.0417303
+0.042796
+0.0439452
+0.0451714
+0.0464686
+0.047831
+0.0492531
+0.0507301
+0.0522571
+0.09022
+0.0887832
+0.0873776
+0.0860049
+0.0846485
+0.0832876
+0.0819626
+0.0806754
+0.0794277
+0.0782215
+0.0770573
+0.0759378
+0.0746914
+0.0734771
+0.0723087
+0.0711829
+0.0700843
+0.0689865
+0.0679416
+0.0669412
+0.0659954
+0.0649951
+0.0640407
+0.0630761
+0.0621633
+0.0613081
+0.0605202
+0.0597933
+0.0590212
+0.0582742
+0.0575762
+0.056847
+0.0561937
+0.0555022
+0.0544325
+0.0534312
+0.0524782
+0.0515712
+0.0507426
+0.0499963
+0.0493218
+0.048732
+0.0482333
+0.0478117
+0.0474874
+0.0472626
+0.0464546
+0.0457066
+0.0450528
+0.0444973
+0.0440303
+0.0436395
+0.043356
+0.0425269
+0.041404
+0.0403092
+0.0392922
+0.0383735
+0.0375603
+0.0368594
+0.0362775
+0.0358204
+0.0354649
+0.0348467
+0.0343573
+0.0340023
+0.0337859
+0.0337107
+0.0337778
+0.0339863
+0.0340627
+0.0337237
+0.0334934
+0.0333891
+0.0333206
+0.0333937
+0.0335129
+0.0337493
+0.0340641
+0.0344519
+0.0349032
+0.0349194
+0.0348614
+0.0349409
+0.0351571
+0.0354834
+0.0359383
+0.0365191
+0.0372201
+0.0380344
+0.0389551
+0.0399748
+0.041086
+0.0422817
+0.0435547
+0.0448986
+0.0463072
+0.0477748
+0.049296
+0.050866
+0.0889795
+0.0876466
+0.0862225
+0.0848311
+0.083474
+0.0821314
+0.0807875
+0.0794812
+0.0782145
+0.0769892
+0.0758075
+0.0746699
+0.0735431
+0.0723095
+0.0711219
+0.0699828
+0.068888
+0.0677918
+0.0667283
+0.0657205
+0.064766
+0.0638133
+0.062841
+0.0619023
+0.0609721
+0.0600999
+0.0592959
+0.0585629
+0.0578385
+0.057076
+0.0563884
+0.0556746
+0.0550074
+0.0544202
+0.0534165
+0.0523958
+0.0514237
+0.0504977
+0.0496512
+0.0488883
+0.0481983
+0.0475946
+0.0470853
+0.04666
+0.046251
+0.0453003
+0.0444365
+0.0436542
+0.0429691
+0.0423864
+0.0419053
+0.0414945
+0.0411963
+0.0407201
+0.0396081
+0.038503
+0.0374422
+0.036477
+0.0356204
+0.0348806
+0.0342651
+0.0337807
+0.0334193
+0.0329287
+0.0324104
+0.0320338
+0.031804
+0.0317242
+0.0317955
+0.0320168
+0.0319691
+0.0316204
+0.0313776
+0.0312663
+0.031198
+0.0312761
+0.0314049
+0.0316614
+0.0319835
+0.0323962
+0.0328549
+0.0329383
+0.0328769
+0.0329612
+0.0331902
+0.0335444
+0.0340253
+0.0346382
+0.0353764
+0.0362323
+0.0371976
+0.0382641
+0.0394236
+0.0406681
+0.0419902
+0.0433826
+0.0448388
+0.0463529
+0.047918
+0.0495172
+0.087752
+0.0864539
+0.0851081
+0.0836981
+0.0823224
+0.0809825
+0.0796553
+0.0783301
+0.0770444
+0.0758003
+0.0745998
+0.073445
+0.0723364
+0.0711901
+0.0699836
+0.0688256
+0.0677188
+0.0666478
+0.0655656
+0.0645397
+0.0635728
+0.0626554
+0.0616957
+0.0607685
+0.0598372
+0.0589483
+0.0581284
+0.0573804
+0.0566979
+0.055938
+0.0552361
+0.0545617
+0.053884
+0.0532845
+0.0524579
+0.051433
+0.0504423
+0.049498
+0.0486341
+0.0478549
+0.0471499
+0.0465327
+0.0460115
+0.0453894
+0.0443206
+0.0433345
+0.0424309
+0.0416158
+0.0408967
+0.0402839
+0.0397826
+0.0393546
+0.03904
+0.0388466
+0.0377908
+0.0367114
+0.0356309
+0.0346151
+0.0337113
+0.0329287
+0.032276
+0.0317613
+0.0313818
+0.0310469
+0.0304966
+0.0300961
+0.0298514
+0.0297663
+0.0298423
+0.030078
+0.0298838
+0.0295299
+0.0292728
+0.0291535
+0.0290856
+0.0291694
+0.0293091
+0.0295884
+0.0299187
+0.0303564
+0.0308261
+0.0309856
+0.0309202
+0.0310099
+0.0312532
+0.0316384
+0.0321477
+0.0327958
+0.0335745
+0.0344751
+0.0354883
+0.0366046
+0.037815
+0.0391108
+0.0404837
+0.0419262
+0.0434313
+0.044989
+0.0465854
+0.0482285
+0.0865626
+0.0852464
+0.0839668
+0.0826077
+0.0812135
+0.079855
+0.0785342
+0.077224
+0.0759196
+0.0746568
+0.0734375
+0.0722642
+0.0711389
+0.0700621
+0.0688955
+0.067719
+0.0665937
+0.0655113
+0.0644565
+0.0634127
+0.0624282
+0.061494
+0.060602
+0.059664
+0.0587488
+0.0578567
+0.0570212
+0.0562585
+0.0555717
+0.0548599
+0.0541481
+0.0535066
+0.0528277
+0.052216
+0.0515713
+0.0505317
+0.0495384
+0.0485765
+0.0476959
+0.0469012
+0.0461818
+0.0455514
+0.0447257
+0.0435306
+0.042415
+0.0413854
+0.0404444
+0.0395938
+0.0388372
+0.0381914
+0.0376622
+0.0372206
+0.0368878
+0.036683
+0.0360129
+0.0348906
+0.0338504
+0.032794
+0.0318385
+0.0310086
+0.0303146
+0.029766
+0.0293664
+0.0290993
+0.0286226
+0.0281955
+0.0279341
+0.0278432
+0.0279243
+0.0281761
+0.0278025
+0.0274551
+0.0271816
+0.027053
+0.0269857
+0.0270759
+0.0272282
+0.0275322
+0.0278731
+0.0283181
+0.0288211
+0.0290667
+0.028997
+0.0290926
+0.0293519
+0.0297705
+0.0303122
+0.0309987
+0.0318215
+0.0327703
+0.0338345
+0.0350036
+0.0362675
+0.0376166
+0.0390421
+0.0405359
+0.0420839
+0.0436766
+0.0453193
+0.0470067
+0.0853767
+0.0840787
+0.082781
+0.0815215
+0.0801492
+0.0787724
+0.077433
+0.0761332
+0.074842
+0.0735607
+0.072323
+0.0711312
+0.0699877
+0.068895
+0.0678532
+0.066662
+0.0655186
+0.0644181
+0.0633565
+0.0623422
+0.0613406
+0.0603899
+0.0595031
+0.0586109
+0.0577164
+0.0568148
+0.0559777
+0.0552007
+0.0545006
+0.0538435
+0.0531279
+0.0524802
+0.0518334
+0.051219
+0.0506827
+0.0497074
+0.0487163
+0.0477379
+0.0468415
+0.046032
+0.0452989
+0.0442693
+0.0429499
+0.041704
+0.0405381
+0.0394596
+0.0384757
+0.0375873
+0.0367929
+0.0361106
+0.0355504
+0.0350935
+0.0347404
+0.0345229
+0.0342828
+0.0331019
+0.0320193
+0.0310194
+0.0300088
+0.0291268
+0.0283868
+0.0278002
+0.0273764
+0.0270912
+0.0267966
+0.0263399
+0.0260599
+0.0259624
+0.0260494
+0.0262216
+0.0257393
+0.0253997
+0.0251073
+0.0249681
+0.0249014
+0.0249992
+0.0251659
+0.0254945
+0.0258358
+0.0263044
+0.0268451
+0.027189
+0.0271145
+0.0272167
+0.0274936
+0.0279401
+0.0285269
+0.0292553
+0.0301257
+0.0311263
+0.0322448
+0.0334695
+0.0347892
+0.0361934
+0.0376728
+0.0392084
+0.0407957
+0.0424368
+0.0441257
+0.045857
+0.0842126
+0.0829095
+0.0816367
+0.0803593
+0.0791219
+0.0777364
+0.0763789
+0.0750608
+0.0737842
+0.0725142
+0.0712583
+0.0700485
+0.068887
+0.0677765
+0.0667195
+0.0656611
+0.0645
+0.0633818
+0.0623025
+0.0612826
+0.060313
+0.059346
+0.0584434
+0.05761
+0.056705
+0.0558369
+0.0549875
+0.0542108
+0.0534978
+0.052866
+0.0521704
+0.0515204
+0.0509105
+0.0502956
+0.0497514
+0.0489673
+0.0479713
+0.0469865
+0.0460755
+0.0452523
+0.0439981
+0.0425755
+0.0412142
+0.039914
+0.0386943
+0.0375628
+0.0365278
+0.0355977
+0.0347664
+0.0340435
+0.0334487
+0.0329748
+0.0325987
+0.0323668
+0.0322823
+0.0313643
+0.0302282
+0.0291917
+0.0282305
+0.0272911
+0.0264999
+0.0258705
+0.025415
+0.0251136
+0.0249935
+0.0245396
+0.0242389
+0.024134
+0.0242276
+0.0242218
+0.023699
+0.0233457
+0.0230453
+0.0229014
+0.0228329
+0.0229395
+0.0231271
+0.0234684
+0.0238142
+0.0243128
+0.0248859
+0.0253615
+0.0252816
+0.0253912
+0.0256878
+0.0261651
+0.0268018
+0.0275758
+0.0284976
+0.0295533
+0.0307291
+0.0320119
+0.0333892
+0.0348499
+0.0363694
+0.0379491
+0.039587
+0.0412761
+0.0430106
+0.0447851
+0.0830584
+0.0817522
+0.0804738
+0.079233
+0.0779759
+0.076749
+0.0753737
+0.0740377
+0.0727432
+0.0714918
+0.0702459
+0.0690183
+0.0678392
+0.0667113
+0.0656371
+0.0646191
+0.0635406
+0.0624052
+0.0613087
+0.060272
+0.059298
+0.0583658
+0.0574478
+0.0565997
+0.0557613
+0.0549078
+0.0540653
+0.0532778
+0.0525603
+0.0519171
+0.0512881
+0.0506318
+0.050053
+0.0494387
+0.0488846
+0.0483152
+0.0473055
+0.0463266
+0.0454024
+0.043942
+0.0424045
+0.0409265
+0.0395147
+0.0381659
+0.0368884
+0.0356998
+0.0346091
+0.033626
+0.0327591
+0.0319929
+0.0313592
+0.0308662
+0.030464
+0.0302158
+0.0301252
+0.0296867
+0.0284838
+0.0273996
+0.0264247
+0.0255115
+0.0246633
+0.0239858
+0.0234937
+0.0231744
+0.0230442
+0.0228078
+0.0224839
+0.0223708
+0.0224717
+0.0222516
+0.0216881
+0.0213015
+0.0210001
+0.0208578
+0.0207826
+0.0208997
+0.0211063
+0.0214519
+0.0218253
+0.0223548
+0.0229384
+0.023486
+0.0235101
+0.0236279
+0.0239464
+0.0244577
+0.0251493
+0.0259726
+0.0269493
+0.0280633
+0.029299
+0.0306417
+0.0320778
+0.0335763
+0.0351449
+0.0367772
+0.0384651
+0.0402014
+0.0419803
+0.0437965
+0.0819164
+0.0806203
+0.0793341
+0.0780778
+0.0768609
+0.0756268
+0.0744194
+0.073066
+0.0717539
+0.070485
+0.069257
+0.0680431
+0.0668468
+0.0657018
+0.0646109
+0.0635767
+0.0625713
+0.0614912
+0.0603781
+0.0593251
+0.0583354
+0.0574122
+0.0565196
+0.0555447
+0.054634
+0.0537972
+0.0530377
+0.0523589
+0.0516877
+0.0510335
+0.050466
+0.0498186
+0.0492401
+0.0486629
+0.0480998
+0.0476309
+0.046733
+0.0457622
+0.044104
+0.0424594
+0.0408662
+0.0393304
+0.0378592
+0.0364602
+0.0351263
+0.0338759
+0.0327245
+0.031683
+0.0307624
+0.0299621
+0.0292845
+0.0287582
+0.0283379
+0.0280709
+0.0279733
+0.028042
+0.0268049
+0.025654
+0.0246262
+0.0237398
+0.022889
+0.0221573
+0.0216237
+0.0212841
+0.0211422
+0.0211612
+0.0208116
+0.0206894
+0.0206333
+0.0202273
+0.0197106
+0.0192894
+0.0189873
+0.018828
+0.0187641
+0.0188937
+0.0191194
+0.0194729
+0.0198788
+0.02044
+0.0210388
+0.021628
+0.0218148
+0.0219417
+0.0222843
+0.0228329
+0.023573
+0.0244607
+0.0254953
+0.0266702
+0.0279675
+0.0293693
+0.0308415
+0.0323944
+0.0340176
+0.0357015
+0.0374378
+0.0392197
+0.0410412
+0.0428972
+0.0807773
+0.0795109
+0.0782286
+0.0769558
+0.075725
+0.0745383
+0.0733307
+0.0721477
+0.0708186
+0.0695326
+0.0682876
+0.0670909
+0.0659123
+0.0647508
+0.0636435
+0.0625934
+0.0616032
+0.0605872
+0.0592806
+0.0580273
+0.0568308
+0.0556846
+0.0546007
+0.0535845
+0.0526399
+0.0517708
+0.0509811
+0.0502745
+0.0496546
+0.0491247
+0.0486738
+0.0483129
+0.0480492
+0.0478843
+0.0474033
+0.0469275
+0.0461469
+0.0444081
+0.0427077
+0.0410403
+0.0393897
+0.037794
+0.0362604
+0.0347973
+0.0334136
+0.032098
+0.0308804
+0.0297744
+0.0287928
+0.0279488
+0.027228
+0.0266612
+0.0262224
+0.0259336
+0.025828
+0.0259004
+0.0252048
+0.0239771
+0.0228935
+0.0219398
+0.0211485
+0.0203892
+0.019808
+0.0194569
+0.0193016
+0.0193941
+0.0192357
+0.0191034
+0.0186793
+0.0182403
+0.0177771
+0.0173176
+0.0170017
+0.016822
+0.0167861
+0.0169308
+0.0171822
+0.0175444
+0.0179885
+0.0185863
+0.0192014
+0.0198246
+0.020215
+0.0203519
+0.0207208
+0.0213096
+0.0221008
+0.023058
+0.0241528
+0.0253898
+0.0267436
+0.028182
+0.0297124
+0.0313214
+0.0329974
+0.0347308
+0.0365133
+0.0383382
+0.0401996
+0.0420927
+0.0796822
+0.0783981
+0.0771549
+0.0758789
+0.0746303
+0.0734259
+0.0722679
+0.0710956
+0.0699395
+0.068637
+0.0673754
+0.0661623
+0.0650003
+0.0638572
+0.0627316
+0.0616634
+0.0602596
+0.0588674
+0.0575218
+0.0562292
+0.0549936
+0.0538187
+0.0526964
+0.0516428
+0.050662
+0.0497584
+0.0489362
+0.0481997
+0.0475527
+0.0469991
+0.046532
+0.0461543
+0.0458782
+0.0457055
+0.0456375
+0.0456746
+0.0448897
+0.0431002
+0.0413494
+0.0396422
+0.0379729
+0.0363247
+0.0347263
+0.0331957
+0.0317425
+0.030374
+0.0290843
+0.0279072
+0.0268575
+0.0259507
+0.0251941
+0.0245804
+0.0241204
+0.0238061
+0.023691
+0.0237678
+0.0235359
+0.0223818
+0.021225
+0.0202172
+0.0193754
+0.0186944
+0.0180599
+0.0176747
+0.0175416
+0.0176433
+0.0177637
+0.0174422
+0.0167603
+0.0162892
+0.0159104
+0.0153826
+0.0150523
+0.0148681
+0.0148625
+0.0150101
+0.0152808
+0.0156742
+0.0161592
+0.0168138
+0.0174457
+0.0180894
+0.0187351
+0.0188827
+0.0192797
+0.0199112
+0.0207558
+0.021759
+0.0229159
+0.0242162
+0.0256212
+0.0271192
+0.0287064
+0.0303687
+0.0320945
+0.0338741
+0.0356994
+0.0375638
+0.0394618
+0.0413887
+0.0786328
+0.0773313
+0.0760706
+0.074846
+0.0735846
+0.0723628
+0.0711875
+0.0700609
+0.0689273
+0.0678004
+0.0665229
+0.0652939
+0.0641163
+0.0629516
+0.0616041
+0.0600849
+0.0586083
+0.0571775
+0.0557935
+0.05446
+0.0531833
+0.0519677
+0.0508152
+0.0497217
+0.0487023
+0.0477616
+0.0469045
+0.0461355
+0.0454592
+0.0448797
+0.044395
+0.0439989
+0.0437092
+0.0435279
+0.0434565
+0.0434954
+0.0436444
+0.0418662
+0.0400615
+0.038297
+0.0365786
+0.0349085
+0.0332659
+0.0316647
+0.0301377
+0.0286969
+0.0273459
+0.0260905
+0.0249645
+0.0239862
+0.0231743
+0.0225147
+0.0220356
+0.0216911
+0.0215647
+0.0216467
+0.0216748
+0.0207231
+0.0196337
+0.0185815
+0.0176759
+0.0169628
+0.0164183
+0.0159936
+0.0158629
+0.015892
+0.0158384
+0.0156558
+0.014896
+0.0143869
+0.0141119
+0.0135251
+0.0131723
+0.0129728
+0.0129955
+0.0131691
+0.0134639
+0.0138849
+0.0144302
+0.015151
+0.0157991
+0.016463
+0.0172183
+0.0175646
+0.0179907
+0.0186658
+0.0195421
+0.020598
+0.0218166
+0.0231786
+0.0246429
+0.0261969
+0.0278367
+0.029548
+0.031319
+0.0331403
+0.0350039
+0.0369035
+0.0388338
+0.0407903
+0.0776011
+0.0763125
+0.0750347
+0.0737999
+0.0725828
+0.0713511
+0.0701588
+0.0690155
+0.0679236
+0.0668321
+0.0654804
+0.0640193
+0.0626007
+0.0612276
+0.0599032
+0.0585108
+0.0569934
+0.0555209
+0.0540972
+0.0527224
+0.0514026
+0.0501438
+0.0489507
+0.0478239
+0.0467631
+0.0457826
+0.0448877
+0.0440836
+0.0433753
+0.0427676
+0.0422634
+0.0418472
+0.0415424
+0.0413517
+0.0412765
+0.0413174
+0.0414743
+0.0407128
+0.0388545
+0.0370325
+0.0352526
+0.0335213
+0.0318464
+0.030215
+0.0286108
+0.0270889
+0.0256639
+0.0243354
+0.0231241
+0.0220643
+0.0211789
+0.0204709
+0.0199529
+0.0195927
+0.0194527
+0.019541
+0.0195445
+0.0190336
+0.0179915
+0.0169996
+0.0160661
+0.0153199
+0.0147796
+0.0143222
+0.0140071
+0.013792
+0.0137568
+0.0138448
+0.0131227
+0.0125501
+0.012254
+0.0117635
+0.0113705
+0.0111805
+0.0112306
+0.0114425
+0.0117469
+0.012227
+0.0128429
+0.0135629
+0.0142952
+0.0149812
+0.0157749
+0.0164115
+0.0168668
+0.0175852
+0.0185018
+0.0196138
+0.0208899
+0.0223086
+0.0238264
+0.0254303
+0.0271165
+0.0288705
+0.0306807
+0.0325377
+0.034434
+0.0363633
+0.0383208
+0.0403023
+0.0765995
+0.0753159
+0.0740491
+0.0727976
+0.0715912
+0.0703833
+0.0691839
+0.0680246
+0.0669165
+0.0654132
+0.0638869
+0.0623995
+0.0609455
+0.0595343
+0.0581714
+0.0568602
+0.055418
+0.0539025
+0.0524348
+0.051019
+0.0496547
+0.0483504
+0.0471119
+0.0459445
+0.0448471
+0.0438237
+0.042888
+0.0420456
+0.0413024
+0.0406637
+0.0401346
+0.0396997
+0.0393784
+0.0391771
+0.0390977
+0.0391409
+0.0393064
+0.0395711
+0.0377362
+0.0358575
+0.0340161
+0.0322184
+0.0304722
+0.0287869
+0.0271669
+0.0255677
+0.0240527
+0.0226486
+0.0213499
+0.0201973
+0.019226
+0.0184607
+0.0178847
+0.017517
+0.0173603
+0.0174563
+0.0173894
+0.0171027
+0.016335
+0.0153991
+0.0143331
+0.0134129
+0.0126825
+0.0121939
+0.0118666
+0.0117199
+0.0117151
+0.0119555
+0.0114514
+0.0108214
+0.0104767
+0.0101406
+0.00972968
+0.00953457
+0.00961768
+0.0098452
+0.0101971
+0.0107512
+0.0113899
+0.0121469
+0.0129209
+0.0136758
+0.0145199
+0.0154617
+0.0159534
+0.0167111
+0.0176731
+0.0188342
+0.0201597
+0.0216263
+0.0231888
+0.024834
+0.026558
+0.0283466
+0.0301882
+0.0320738
+0.0339959
+0.0359488
+0.0379277
+0.0399287
+0.0756053
+0.0743482
+0.0730807
+0.0718481
+0.0706255
+0.0694505
+0.0682535
+0.0670882
+0.0654911
+0.0638916
+0.0623281
+0.0608034
+0.0593194
+0.0578744
+0.0564714
+0.0551198
+0.0538235
+0.0523258
+0.0508126
+0.0493503
+0.0479432
+0.046591
+0.0453044
+0.0440892
+0.0429514
+0.0418878
+0.0409078
+0.0400238
+0.0392423
+0.0385695
+0.0380113
+0.0375572
+0.0372174
+0.0370043
+0.0369203
+0.0369661
+0.0371382
+0.0374162
+0.0367147
+0.0347808
+0.0328792
+0.0310157
+0.0291977
+0.0274342
+0.0257364
+0.0241177
+0.0225394
+0.0210346
+0.0196582
+0.0184018
+0.0173302
+0.0164816
+0.0158495
+0.0154731
+0.0152954
+0.015401
+0.0152279
+0.0150241
+0.0145351
+0.0137665
+0.012472
+0.0114096
+0.0106234
+0.0100925
+0.00969442
+0.00965554
+0.00969362
+0.0100418
+0.00973348
+0.00919462
+0.00882314
+0.00870838
+0.00829497
+0.0081187
+0.00824161
+0.00847186
+0.00888889
+0.00948431
+0.0101876
+0.0109735
+0.0117959
+0.0125911
+0.0134674
+0.0144707
+0.0153014
+0.0160898
+0.0170868
+0.0182851
+0.0196477
+0.0211499
+0.0227451
+0.0244202
+0.0261715
+0.0279848
+0.0298488
+0.0317545
+0.0336949
+0.0356642
+0.0376579
+0.0396692
+0.0746242
+0.0733702
+0.07215
+0.0709092
+0.0697151
+0.0685247
+0.0673808
+0.0657142
+0.0640463
+0.0624099
+0.0608083
+0.0592445
+0.0577214
+0.0562413
+0.0548063
+0.0534126
+0.0520737
+0.0507941
+0.0492344
+0.0477237
+0.0462675
+0.0448695
+0.0435321
+0.042266
+0.0410777
+0.0399743
+0.0389502
+0.0380207
+0.0371971
+0.0364867
+0.0358961
+0.0354206
+0.0350601
+0.0348339
+0.0347446
+0.0347932
+0.0349706
+0.0352657
+0.0354583
+0.033812
+0.0318525
+0.0299252
+0.0280366
+0.026195
+0.0244112
+0.0226988
+0.0210751
+0.0195332
+0.0180435
+0.0167008
+0.0155121
+0.014558
+0.0138617
+0.0134465
+0.0132569
+0.0132937
+0.0130762
+0.0129362
+0.0124322
+0.0121563
+0.0107148
+0.00948959
+0.00860911
+0.00802595
+0.007533
+0.00749314
+0.00761585
+0.00805422
+0.00808677
+0.00778323
+0.00735571
+0.00739804
+0.00712268
+0.00704014
+0.00718155
+0.00744465
+0.00787544
+0.00858151
+0.00929992
+0.0101002
+0.0109459
+0.0117676
+0.0127006
+0.01376
+0.0148132
+0.0157416
+0.0167684
+0.0179879
+0.0193714
+0.0208935
+0.0225069
+0.0241983
+0.0259636
+0.0277885
+0.0296625
+0.0315747
+0.0335198
+0.0354935
+0.0374913
+0.0395096
+0.0736951
+0.072425
+0.0711998
+0.0700182
+0.0688086
+0.0676484
+0.06608
+0.0643491
+0.0626449
+0.0609709
+0.0593305
+0.0577266
+0.0561624
+0.0546413
+0.0531655
+0.0517395
+0.0503585
+0.0490342
+0.0477046
+0.0461439
+0.0446361
+0.0431869
+0.0417995
+0.0404792
+0.0392369
+0.0380802
+0.0370171
+0.0360394
+0.0351695
+0.0344173
+0.0337905
+0.0332911
+0.0329072
+0.0326661
+0.0325708
+0.0326227
+0.0328061
+0.0331204
+0.0333113
+0.0329026
+0.0309416
+0.0289596
+0.0270036
+0.0250863
+0.0232175
+0.0214098
+0.01968
+0.0180506
+0.01655
+0.0150899
+0.0137854
+0.012721
+0.0119439
+0.0114534
+0.0112432
+0.0111679
+0.0109398
+0.010758
+0.0103656
+0.0100625
+0.00909551
+0.00769632
+0.00660209
+0.00596839
+0.00539524
+0.00535378
+0.00561462
+0.00616533
+0.00663392
+0.00653972
+0.00628331
+0.00635915
+0.00644465
+0.00638565
+0.00657316
+0.00684488
+0.00730845
+0.00806432
+0.00883014
+0.009568
+0.0104571
+0.0113141
+0.0122582
+0.0133742
+0.0144556
+0.0155944
+0.0167064
+0.0179373
+0.0193244
+0.0208448
+0.0224449
+0.0241379
+0.0259056
+0.0277338
+0.0296112
+0.0315265
+0.0334744
+0.0354506
+0.0374508
+0.0394711
+0.0727851
+0.0715345
+0.0702937
+0.0691001
+0.0679561
+0.0665678
+0.0647824
+0.0630226
+0.0612898
+0.0595777
+0.0578978
+0.0562531
+0.0546468
+0.0530822
+0.0515633
+0.0500925
+0.048675
+0.0473102
+0.0460024
+0.0446157
+0.0430544
+0.0415501
+0.040109
+0.038734
+0.0374338
+0.0362195
+0.0351001
+0.0340838
+0.0331627
+0.0323638
+0.0316964
+0.0311691
+0.0307597
+0.0305016
+0.0303996
+0.0304552
+0.0306452
+0.0309815
+0.0311678
+0.0308875
+0.0300137
+0.0280218
+0.0260618
+0.024126
+0.0221764
+0.0202761
+0.0184403
+0.0166903
+0.0150562
+0.0135795
+0.0121789
+0.0109661
+0.010072
+0.00952777
+0.00928679
+0.00906817
+0.00878889
+0.00858601
+0.00834177
+0.00797175
+0.00762047
+0.00607264
+0.00475385
+0.00394174
+0.00332707
+0.00327702
+0.00373681
+0.00452076
+0.00542884
+0.00571135
+0.00571417
+0.00582762
+0.00625538
+0.00625786
+0.0063975
+0.0067135
+0.00729522
+0.00799379
+0.008724
+0.00949199
+0.0103423
+0.0111992
+0.0121638
+0.0132804
+0.0144026
+0.0155928
+0.016855
+0.0181192
+0.0194934
+0.0210015
+0.0225905
+0.0242734
+0.0260319
+0.0278518
+0.0297217
+0.0316303
+0.0335722
+0.035543
+0.0375382
+0.0395541
+0.071883
+0.0706593
+0.0694449
+0.0682365
+0.0670778
+0.0653534
+0.0635338
+0.0617384
+0.0599693
+0.0582289
+0.0565138
+0.0548276
+0.0531782
+0.0515691
+0.0500043
+0.0484879
+0.0470227
+0.0456151
+0.0442688
+0.0429802
+0.0415281
+0.0399663
+0.038466
+0.0370345
+0.0356741
+0.0343977
+0.033217
+0.0321423
+0.031176
+0.0303248
+0.0296115
+0.0290464
+0.0286187
+0.0283411
+0.0282313
+0.0282911
+0.028489
+0.0288504
+0.0290307
+0.0287337
+0.0285936
+0.0271622
+0.0251395
+0.0231467
+0.0211906
+0.0192831
+0.0173859
+0.0155162
+0.0137417
+0.0121043
+0.0106506
+0.00938358
+0.00831942
+0.00766838
+0.00745439
+0.00696371
+0.0066567
+0.0064268
+0.00641874
+0.00593803
+0.00589805
+0.00472067
+0.00319656
+0.00211061
+0.00142511
+0.00147465
+0.00225783
+0.00344799
+0.00445834
+0.00545332
+0.00574661
+0.00573087
+0.00616173
+0.00649375
+0.00669894
+0.00709849
+0.00774217
+0.00841291
+0.00910958
+0.00984755
+0.0106672
+0.0115021
+0.0124433
+0.0135339
+0.0146397
+0.0158641
+0.0171371
+0.0185008
+0.019867
+0.0213537
+0.0229363
+0.0246039
+0.0263404
+0.0281403
+0.0299923
+0.0318847
+0.033812
+0.0357696
+0.0377528
+0.0397578
+0.0709966
+0.0697985
+0.0686075
+0.067433
+0.0660648
+0.0641907
+0.0623373
+0.0605064
+0.0587002
+0.0569209
+0.0551713
+0.0534539
+0.0517607
+0.0501061
+0.0484941
+0.0469289
+0.0454156
+0.0439569
+0.0425607
+0.0412336
+0.0399695
+0.0384423
+0.0368799
+0.0353843
+0.0339642
+0.0326214
+0.0313738
+0.0302337
+0.0292137
+0.0283052
+0.0275397
+0.026931
+0.0264859
+0.0261857
+0.0260667
+0.0261263
+0.0263384
+0.0267289
+0.0269022
+0.026586
+0.0264345
+0.0264425
+0.0243669
+0.0223062
+0.0202724
+0.0182749
+0.0163271
+0.0144386
+0.0126405
+0.0108449
+0.00921358
+0.00783498
+0.00675567
+0.00598008
+0.0056797
+0.00491145
+0.00457857
+0.0042995
+0.00432265
+0.00407024
+0.00401191
+0.00376345
+0.00222849
+0.00123075
+0.000902378
+0.00120572
+0.00189227
+0.00315898
+0.00380083
+0.00455338
+0.00491969
+0.00516317
+0.0052791
+0.00524419
+0.00559371
+0.00649978
+0.00788824
+0.00924578
+0.00992893
+0.0105895
+0.0113511
+0.012149
+0.0130407
+0.0140697
+0.0151826
+0.0163721
+0.0176304
+0.0190046
+0.0204255
+0.021902
+0.0234514
+0.0250854
+0.026799
+0.0285779
+0.0304106
+0.032286
+0.0341907
+0.0361278
+0.0380923
+0.0400804
+0.0701423
+0.0689549
+0.0677914
+0.0666366
+0.0649888
+0.0630828
+0.0611958
+0.0593297
+0.0574865
+0.0556685
+0.0538782
+0.0521186
+0.0503927
+0.0486977
+0.0470375
+0.0454222
+0.0438568
+0.042347
+0.0408961
+0.0395131
+0.0382058
+0.0369733
+0.0353585
+0.0337957
+0.0323058
+0.0308983
+0.0295781
+0.0283659
+0.0272761
+0.0263129
+0.0254877
+0.0248288
+0.0243499
+0.0240283
+0.0238986
+0.0239638
+0.024195
+0.0246195
+0.0247846
+0.0244432
+0.0242783
+0.0243038
+0.0237513
+0.0216394
+0.0195448
+0.0174738
+0.0154252
+0.0134214
+0.0114862
+0.00963987
+0.00796459
+0.00644949
+0.00515621
+0.0043155
+0.0036954
+0.00293819
+0.00260844
+0.00228623
+0.00230228
+0.00235694
+0.00255294
+0.00285015
+0.00246989
+0.00199187
+0.00153949
+0.0020746
+0.00248325
+0.00304068
+0.0034006
+0.00377807
+0.00395796
+0.00424531
+0.00408043
+0.00394616
+0.00432127
+0.00540839
+0.00692757
+0.0087238
+0.0106534
+0.011674
+0.0123775
+0.0130957
+0.0139382
+0.0149054
+0.015971
+0.0171252
+0.018355
+0.019684
+0.0211322
+0.0226015
+0.0241293
+0.0257431
+0.0274169
+0.029158
+0.0309564
+0.0328025
+0.0346887
+0.0366088
+0.0385536
+0.040519
+0.0693466
+0.0681454
+0.0669943
+0.065869
+0.0639697
+0.0620325
+0.0601125
+0.0582117
+0.0563319
+0.0544754
+0.0526446
+0.0508422
+0.0490715
+0.0473359
+0.0456394
+0.0439729
+0.042354
+0.0407886
+0.039283
+0.0378412
+0.036474
+0.0351902
+0.0339105
+0.0322776
+0.0307142
+0.0292314
+0.027839
+0.0265476
+0.0253798
+0.0243534
+0.0234607
+0.0227432
+0.0222194
+0.021874
+0.0217315
+0.0218061
+0.0220609
+0.0225256
+0.0226809
+0.0223073
+0.0221265
+0.0221509
+0.02236
+0.0211716
+0.0190256
+0.0168911
+0.0147731
+0.0126797
+0.0106251
+0.00861908
+0.00672809
+0.00503716
+0.00377671
+0.00243327
+0.00174697
+0.00106171
+0.000626965
+0.000680119
+0.000334591
+0.000951901
+0.00140277
+0.00221261
+0.00179374
+0.00168209
+0.00163243
+0.0017201
+0.00210519
+0.00269394
+0.0035055
+0.00379554
+0.00378267
+0.00407272
+0.00366957
+0.00341115
+0.00375136
+0.00490816
+0.00652371
+0.00838754
+0.0103799
+0.0124391
+0.0136593
+0.0142956
+0.0150975
+0.0159995
+0.0169967
+0.0180855
+0.0192787
+0.0205701
+0.02196
+0.0234679
+0.0249693
+0.026532
+0.0281784
+0.0298879
+0.0316448
+0.0334529
+0.0353044
+0.0371927
+0.0391126
+0.0410596
+0.0686116
+0.0673973
+0.0662333
+0.0649835
+0.0630043
+0.0610395
+0.0590906
+0.0571558
+0.0552401
+0.0533456
+0.0514746
+0.0496298
+0.0478142
+0.0460312
+0.0442848
+0.0425795
+0.0409134
+0.0392906
+0.0377253
+0.0362247
+0.034794
+0.0334457
+0.0321902
+0.0308405
+0.0292002
+0.0276364
+0.0261627
+0.0247895
+0.0235346
+0.022424
+0.021466
+0.0206794
+0.0201019
+0.0197278
+0.0195696
+0.0196546
+0.0199391
+0.0204521
+0.0205951
+0.0201832
+0.0199832
+0.0200062
+0.0202375
+0.0206993
+0.0186329
+0.0164751
+0.0143274
+0.012195
+0.0100876
+0.00801161
+0.00593858
+0.0039823
+0.00238775
+0.000799668
+-0.000294145
+-0.00100645
+-0.00149408
+-0.00141912
+-0.000963648
+-0.000568
+6.06834e-05
+0.00116316
+0.00189299
+0.00180212
+0.00162896
+0.00199441
+0.00265106
+0.00305939
+0.00357224
+0.0041275
+0.00423252
+0.00457442
+0.00415807
+0.0038648
+0.00413448
+0.00517235
+0.00671767
+0.00853927
+0.0105028
+0.0125419
+0.0146248
+0.0156838
+0.0164161
+0.0172915
+0.0182087
+0.0192409
+0.0203735
+0.0216198
+0.0229676
+0.0244173
+0.0259324
+0.0274733
+0.0290665
+0.0307334
+0.0324625
+0.0342314
+0.0360429
+0.0378944
+0.0397805
+0.0416963
+0.0679129
+0.0667128
+0.0655366
+0.0641084
+0.0621012
+0.0601069
+0.0581268
+0.0561623
+0.0542149
+0.0522833
+0.0503728
+0.0484861
+0.0466259
+0.0447957
+0.0429992
+0.0412408
+0.0395256
+0.0378595
+0.0362331
+0.0346682
+0.0331737
+0.0317567
+0.0304316
+0.0292108
+0.0277767
+0.0261278
+0.0245637
+0.0231017
+0.0217536
+0.020547
+0.0195121
+0.0186446
+0.0180019
+0.0175925
+0.017415
+0.0175117
+0.0178339
+0.0184057
+0.0185319
+0.0180749
+0.0178513
+0.0178727
+0.0181312
+0.0186453
+0.0183665
+0.0162085
+0.0140606
+0.0118843
+0.00971333
+0.00755372
+0.00541913
+0.00335573
+0.00144492
+-0.000281127
+-0.00182174
+-0.00238963
+-0.00330965
+-0.00263312
+-0.00223668
+-0.00137733
+-0.00102215
+-0.000487344
+0.000451617
+0.00166274
+0.00227253
+0.00225282
+0.00240531
+0.00299694
+0.00356719
+0.00410157
+0.00395417
+0.00435123
+0.00432953
+0.00429036
+0.00482395
+0.00597844
+0.00753601
+0.00922329
+0.0110661
+0.0130172
+0.0150345
+0.0170945
+0.0179065
+0.0187123
+0.0195636
+0.020548
+0.0216354
+0.0228128
+0.0241121
+0.0255161
+0.026986
+0.0285203
+0.0300882
+0.0317014
+0.0333804
+0.0351159
+0.0368969
+0.0387076
+0.0405559
+0.0424367
+0.0672496
+0.0660387
+0.0648791
+0.0632969
+0.0612632
+0.0592407
+0.0572306
+0.0552342
+0.0532531
+0.051289
+0.0493437
+0.047416
+0.0455122
+0.0436352
+0.0417889
+0.0399773
+0.0382054
+0.036479
+0.034805
+0.0331832
+0.031619
+0.0301323
+0.0287323
+0.0274361
+0.0262588
+0.0247215
+0.0230622
+0.0214984
+0.0200522
+0.0187382
+0.0175976
+0.0166494
+0.0159264
+0.0154727
+0.0152706
+0.015381
+0.0157521
+0.0163967
+0.0164542
+0.0159888
+0.0157357
+0.0157549
+0.0160476
+0.0166221
+0.0174053
+0.015906
+0.0137425
+0.0115893
+0.00945326
+0.00730162
+0.0051438
+0.00303194
+0.000982567
+-0.000838738
+-0.00274618
+-0.00321447
+-0.00289214
+-0.00243864
+-0.00179134
+-0.00140319
+-0.000457832
+0.000262624
+0.000825293
+0.000993337
+0.00198238
+0.00308166
+0.00335161
+0.00380691
+0.0044064
+0.00458902
+0.00432033
+0.00456716
+0.00425928
+0.00408437
+0.00457183
+0.00576167
+0.00730604
+0.00911462
+0.0110622
+0.0130869
+0.0151578
+0.0172584
+0.0193789
+0.0202599
+0.0210597
+0.0219833
+0.0230313
+0.0241461
+0.0253772
+0.0267315
+0.0281551
+0.0296545
+0.0312013
+0.0327874
+0.0344135
+0.0360993
+0.0378369
+0.0396184
+0.0414327
+0.0432754
+0.0666008
+0.0654298
+0.0642592
+0.0625517
+0.060493
+0.0584438
+0.0564053
+0.0543786
+0.0523652
+0.0503665
+0.0483844
+0.0464212
+0.0444785
+0.042556
+0.0406607
+0.0387964
+0.036968
+0.035181
+0.033442
+0.031759
+0.0301413
+0.0285804
+0.0271032
+0.0257249
+0.0244655
+0.0233441
+0.0216784
+0.0200067
+0.0184439
+0.0170193
+0.0157548
+0.0147087
+0.0138862
+0.0133733
+0.0131415
+0.0132696
+0.0137042
+0.0144405
+0.0143381
+0.0139349
+0.0136437
+0.0136601
+0.0139966
+0.0146309
+0.0155148
+0.0157709
+0.0135811
+0.0113917
+0.00920278
+0.00701502
+0.00482981
+0.00265338
+0.000527819
+-0.00146746
+-0.00183163
+-0.0021018
+-0.00231047
+-0.00172062
+-0.00151178
+-0.00142664
+-0.000333139
+0.00084026
+0.00138604
+0.0021486
+0.00226137
+0.00305235
+0.00370931
+0.00397503
+0.00439203
+0.00448983
+0.00511007
+0.00536639
+0.00495822
+0.0046718
+0.00507745
+0.00614417
+0.00764188
+0.00940473
+0.0113024
+0.0132906
+0.015334
+0.0174133
+0.019517
+0.0216379
+0.0226691
+0.023529
+0.024511
+0.0255953
+0.0267621
+0.0280496
+0.029441
+0.030878
+0.0323995
+0.0339534
+0.0355514
+0.0371857
+0.0388748
+0.040611
+0.0423875
+0.0442013
+0.0659848
+0.0648174
+0.0637031
+0.0618711
+0.0597905
+0.0577181
+0.0556541
+0.053599
+0.0515551
+0.0495237
+0.0475065
+0.0455054
+0.0435225
+0.0415605
+0.0396216
+0.037706
+0.0358219
+0.0339747
+0.0321706
+0.0304173
+0.0287241
+0.0271023
+0.0255542
+0.0240875
+0.0227376
+0.0215264
+0.0204269
+0.0186473
+0.0169598
+0.0153995
+0.014009
+0.012826
+0.0118998
+0.0112982
+0.0110365
+0.0111887
+0.0117076
+0.0125601
+0.0122483
+0.011825
+0.0115883
+0.0116008
+0.0119952
+0.0127055
+0.013681
+0.0148847
+0.0136171
+0.0114353
+0.00925765
+0.0070881
+0.00493725
+0.00283722
+0.000865052
+9.28423e-05
+-0.000450952
+-0.00146312
+-0.00200734
+-0.00171247
+-0.00128949
+-0.00096325
+1.49426e-05
+0.000864582
+0.00139272
+0.00200995
+0.00333797
+0.00337784
+0.00380548
+0.00442901
+0.00492873
+0.00494947
+0.00553803
+0.00587652
+0.00618139
+0.00589183
+0.00620891
+0.00712891
+0.00845645
+0.0100875
+0.0118996
+0.0138219
+0.0158128
+0.017838
+0.0198968
+0.0219812
+0.0240844
+0.0251706
+0.0260909
+0.0271212
+0.0282491
+0.0294717
+0.0308018
+0.0322042
+0.0336658
+0.0352031
+0.0367605
+0.038362
+0.0400015
+0.0416916
+0.0434264
+0.0451994
+0.065423
+0.0642518
+0.0631349
+0.0612564
+0.0591543
+0.0570587
+0.0549706
+0.0528908
+0.0508203
+0.0487604
+0.0467123
+0.0446777
+0.042657
+0.0406533
+0.0386698
+0.0367099
+0.0347762
+0.0328703
+0.031002
+0.0291786
+0.027409
+0.0257044
+0.0240785
+0.0225442
+0.0210958
+0.0197843
+0.0186388
+0.0174451
+0.0156345
+0.0139265
+0.0123715
+0.0110345
+0.00997728
+0.00925534
+0.0089726
+0.00915922
+0.00976759
+0.0107515
+0.0102009
+0.00968855
+0.00951339
+0.00959984
+0.010064
+0.0108439
+0.0119406
+0.013303
+0.0139693
+0.0118525
+0.00976475
+0.00770142
+0.00573007
+0.00394743
+0.00263239
+0.00180341
+0.000129198
+-0.000894351
+-0.00132731
+-0.00132795
+-0.000637982
+0.000272562
+0.000488004
+0.00112466
+0.00204409
+0.00278083
+0.0035075
+0.00398032
+0.00431224
+0.00464928
+0.00536353
+0.00604119
+0.00603229
+0.00620639
+0.00666997
+0.00745584
+0.00774888
+0.00850696
+0.00970592
+0.0111566
+0.0128185
+0.0146204
+0.0165165
+0.0184779
+0.0204859
+0.0225279
+0.0245892
+0.0266666
+0.0277539
+0.0287291
+0.0298059
+0.0309836
+0.0322514
+0.0336143
+0.0350235
+0.0365037
+0.0380525
+0.0396111
+0.0412139
+0.0428562
+0.0445457
+0.0462773
+0.0648852
+0.0637501
+0.0626242
+0.0607146
+0.058593
+0.0564767
+0.0543662
+0.0522624
+0.050166
+0.0480779
+0.0459995
+0.0439319
+0.0418769
+0.0398363
+0.0378126
+0.0358085
+0.0338275
+0.0318739
+0.0299483
+0.0280564
+0.0262112
+0.0244231
+0.0227057
+0.0210762
+0.019552
+0.0181292
+0.0168717
+0.0158189
+0.0144564
+0.012634
+0.0109295
+0.009374
+0.00811089
+0.0072589
+0.00695233
+0.00720212
+0.00794688
+0.00910202
+0.00822769
+0.00758315
+0.00741999
+0.00766311
+0.00817554
+0.00909286
+0.0103669
+0.0118726
+0.0135537
+0.0125905
+0.0106229
+0.00876049
+0.00704359
+0.00562094
+0.00361803
+0.00168672
+0.00068546
+-0.000781682
+-0.00112747
+-0.000813289
+-0.0002771
+0.000130829
+0.000134434
+0.000879839
+0.00171702
+0.00242112
+0.0027162
+0.0036516
+0.00465187
+0.00548275
+0.00583764
+0.00674998
+0.00702903
+0.00696776
+0.007347
+0.00821647
+0.00945099
+0.0101724
+0.0111974
+0.012521
+0.0140222
+0.0156865
+0.0174673
+0.0193325
+0.0212598
+0.0232339
+0.0252438
+0.0272815
+0.0293413
+0.0304057
+0.0314323
+0.032564
+0.033781
+0.0350845
+0.0364624
+0.0378864
+0.0393808
+0.0409342
+0.0424964
+0.0440989
+0.0457426
+0.0474305
+0.064362
+0.0632641
+0.0621229
+0.0600832
+0.0580546
+0.0559744
+0.0538442
+0.0517192
+0.0495998
+0.0474869
+0.0453814
+0.0432843
+0.041197
+0.039121
+0.0370582
+0.0350109
+0.032982
+0.0309753
+0.0289951
+0.0270475
+0.0251398
+0.0232779
+0.0214691
+0.0197378
+0.0181063
+0.0165985
+0.0152151
+0.0140386
+0.0131115
+0.0115256
+0.00964721
+0.00793074
+0.00639226
+0.00532671
+0.00493744
+0.00532089
+0.00624636
+0.00742686
+0.00629186
+0.00554422
+0.00533889
+0.00579324
+0.00647407
+0.0075612
+0.00900188
+0.0106819
+0.0124994
+0.0136226
+0.0118146
+0.0101409
+0.0081331
+0.00600808
+0.00392257
+0.00200937
+0.00114066
+-0.000211596
+-0.000495834
+-0.00013254
+0.000147003
+0.000119334
+0.000658307
+0.00123435
+0.00197068
+0.0021845
+0.00248957
+0.00335451
+0.00472651
+0.00559832
+0.00683777
+0.00762475
+0.00833618
+0.0081671
+0.00847101
+0.00923526
+0.0103498
+0.0117473
+0.0128876
+0.0140568
+0.0154444
+0.0169698
+0.0186283
+0.0203875
+0.0222236
+0.0241189
+0.0260606
+0.0280391
+0.0300469
+0.0320788
+0.0331239
+0.0341996
+0.0353781
+0.0366267
+0.0379578
+0.0393426
+0.0407837
+0.0422892
+0.0438419
+0.0454096
+0.0470111
+0.048655
+0.0639097
+0.0628039
+0.0614128
+0.0593487
+0.057294
+0.0552498
+0.0532173
+0.0511972
+0.0491238
+0.0469906
+0.0448618
+0.0427393
+0.0406239
+0.0385171
+0.0364201
+0.0343348
+0.0322634
+0.0302089
+0.028175
+0.0261664
+0.0241893
+0.0222524
+0.0203669
+0.0185442
+0.0168088
+0.0151876
+0.0136896
+0.0123688
+0.0113212
+0.010619
+0.00871138
+0.00676136
+0.00499542
+0.00359213
+0.00301937
+0.00356685
+0.00479485
+0.00577935
+0.00438478
+0.00345354
+0.00333145
+0.00401084
+0.00504991
+0.00634866
+0.00796215
+0.00977722
+0.0117183
+0.0137346
+0.0127112
+0.0105751
+0.0084669
+0.00641428
+0.00449048
+0.00289443
+0.00205442
+0.000605788
+0.000867709
+0.000758818
+0.000868209
+0.000536203
+0.00121913
+0.00197722
+0.00261663
+0.00265543
+0.00285748
+0.00371129
+0.00520645
+0.005903
+0.00704373
+0.00842768
+0.00954136
+0.00969923
+0.00995529
+0.0106132
+0.011598
+0.0128605
+0.0143482
+0.0157448
+0.017
+0.018425
+0.0199629
+0.0216138
+0.0233537
+0.0251641
+0.0270308
+0.028943
+0.0308921
+0.0328718
+0.0348711
+0.0358945
+0.0370194
+0.0382324
+0.0395094
+0.0408524
+0.0422535
+0.0437085
+0.0452228
+0.0467739
+0.0478129
+0.04887
+0.0635203
+0.0624172
+0.0607733
+0.0586868
+0.0566081
+0.0545382
+0.052478
+0.0504284
+0.0483893
+0.0463635
+0.0443535
+0.0422913
+0.0401572
+0.0380291
+0.0359045
+0.0337874
+0.0316803
+0.0295853
+0.0275053
+0.0254439
+0.0234059
+0.0213981
+0.01943
+0.01751
+0.0156603
+0.0139101
+0.0123018
+0.0108662
+0.00965693
+0.00883382
+0.00817616
+0.00607028
+0.00405529
+0.00228132
+0.00140754
+0.00222485
+0.00381862
+0.00445431
+0.00269374
+0.00146804
+0.00144166
+0.00260417
+0.00412133
+0.00558149
+0.00735041
+0.00928191
+0.0113083
+0.0133757
+0.0132327
+0.0111966
+0.00922882
+0.00736806
+0.00570465
+0.00430691
+0.0034122
+0.00242364
+0.00261266
+0.00266737
+0.00268166
+0.00245017
+0.00288502
+0.00354163
+0.00394171
+0.0040723
+0.0042019
+0.00486137
+0.00616804
+0.00676956
+0.0077846
+0.00916561
+0.0102825
+0.0114467
+0.0116188
+0.0121872
+0.0130957
+0.0142263
+0.0155841
+0.0171155
+0.018679
+0.0199901
+0.0214388
+0.022984
+0.0246272
+0.0263502
+0.0281384
+0.02998
+0.0318658
+0.0337884
+0.0357419
+0.0376406
+0.0387148
+0.0398805
+0.0411192
+0.0424112
+0.0437744
+0.0446722
+0.0454949
+0.0464064
+0.0473888
+0.0484247
+0.0631699
+0.0620736
+0.0602068
+0.0580999
+0.0559995
+0.0539062
+0.051821
+0.0497442
+0.0476759
+0.0456185
+0.0435741
+0.0415446
+0.0395324
+0.0375401
+0.0354956
+0.0333584
+0.0312285
+0.0291077
+0.0269967
+0.0248938
+0.0228067
+0.020741
+0.0187038
+0.0167006
+0.0147498
+0.0128764
+0.0111195
+0.00951004
+0.00817427
+0.00719156
+0.00676747
+0.00595352
+0.00383746
+0.0018896
+0.000772168
+0.00182108
+0.00350181
+0.00365494
+0.0015528
+-0.000245342
+0.000382822
+0.00202732
+0.00389567
+0.00538997
+0.00718518
+0.00912525
+0.0111585
+0.013242
+0.0140772
+0.0121692
+0.0103645
+0.00866189
+0.00716012
+0.00586498
+0.00514677
+0.00457001
+0.004673
+0.00477361
+0.00477089
+0.00458413
+0.00495458
+0.00547712
+0.00575194
+0.00593286
+0.00601507
+0.00650806
+0.00757044
+0.00807108
+0.00898922
+0.010227
+0.0113674
+0.0126027
+0.0134323
+0.0139269
+0.0147339
+0.0157791
+0.0170134
+0.0184264
+0.0199802
+0.0216444
+0.0230088
+0.0244738
+0.0260231
+0.0276593
+0.0293678
+0.0311368
+0.0329565
+0.034819
+0.0367177
+0.0386473
+0.0404578
+0.0415746
+0.0424368
+0.042971
+0.043606
+0.0443403
+0.0451459
+0.0460137
+0.0469677
+0.0480028
+0.062882
+0.0617806
+0.0597154
+0.0575905
+0.0554708
+0.0533568
+0.0512492
+0.0491483
+0.0470537
+0.0449679
+0.0428925
+0.0408292
+0.0387798
+0.0367468
+0.0347329
+0.0327417
+0.0307777
+0.028763
+0.026626
+0.0244985
+0.0223832
+0.020284
+0.0181997
+0.0161348
+0.0141063
+0.012134
+0.0102507
+0.00850584
+0.00698048
+0.00584821
+0.00534118
+0.0055399
+0.00453561
+0.00290905
+0.00223125
+0.00283321
+0.00414723
+0.00387158
+0.00193377
+0.000716352
+0.0014461
+0.00274042
+0.00438945
+0.00580821
+0.00751614
+0.00940205
+0.0113975
+0.0134538
+0.0151653
+0.0133672
+0.011691
+0.0101244
+0.00871984
+0.00768161
+0.00711175
+0.00674493
+0.00681513
+0.0069324
+0.00688262
+0.00675451
+0.00709723
+0.00751003
+0.00776085
+0.00795503
+0.00799655
+0.00840685
+0.00925374
+0.00967425
+0.0104525
+0.0115573
+0.012718
+0.0138332
+0.0151844
+0.0157793
+0.016496
+0.0174598
+0.0185916
+0.0198928
+0.02134
+0.0229057
+0.024567
+0.0260461
+0.0275228
+0.0290747
+0.0307046
+0.0324007
+0.0341531
+0.0359536
+0.0377953
+0.0396726
+0.0414337
+0.0417318
+0.0421418
+0.0426606
+0.0432841
+0.044008
+0.0447918
+0.0456411
+0.046578
+0.0475905
+0.0626294
+0.0614447
+0.0593008
+0.0571606
+0.0550243
+0.0528924
+0.0507655
+0.0486438
+0.0465265
+0.0444159
+0.0423135
+0.0402204
+0.0381384
+0.0360692
+0.0340152
+0.0319794
+0.0299655
+0.0279781
+0.0260234
+0.0241055
+0.0221508
+0.0200272
+0.0179135
+0.0158113
+0.0137369
+0.0117049
+0.00974185
+0.00789948
+0.00628414
+0.00495437
+0.00435188
+0.00459271
+0.00561321
+0.00471726
+0.00424568
+0.00461965
+0.00538135
+0.00500508
+0.00356006
+0.00275067
+0.00309932
+0.00421659
+0.00550311
+0.00679644
+0.00832524
+0.0100894
+0.0119685
+0.013938
+0.0159653
+0.0147322
+0.0131504
+0.0116987
+0.0105017
+0.00965477
+0.0091795
+0.00892758
+0.00898073
+0.00910644
+0.00903205
+0.00893482
+0.00925979
+0.00957985
+0.0098476
+0.0100481
+0.0100651
+0.0104208
+0.0111153
+0.0114678
+0.0121315
+0.0130983
+0.0142786
+0.0152754
+0.0160529
+0.0170777
+0.018136
+0.0189454
+0.0199384
+0.0211128
+0.0224401
+0.0238928
+0.0253437
+0.0268949
+0.0285301
+0.0302357
+0.0320004
+0.0337595
+0.0354448
+0.0371828
+0.0389665
+0.0407898
+0.0411214
+0.0414286
+0.0418416
+0.042364
+0.0429767
+0.0436418
+0.0444052
+0.0452545
+0.0461792
+0.0471875
+0.0624155
+0.0611205
+0.0589648
+0.0568119
+0.054662
+0.0525154
+0.0503726
+0.0482336
+0.0460975
+0.0439663
+0.0418413
+0.0397234
+0.0376138
+0.0355141
+0.033426
+0.031352
+0.0292949
+0.0272587
+0.0252483
+0.0232667
+0.021317
+0.0194188
+0.0175888
+0.0157834
+0.0137034
+0.0116639
+0.00969051
+0.00783356
+0.00616211
+0.00479597
+0.00416397
+0.00440297
+0.00544253
+0.00670949
+0.00637657
+0.00636936
+0.00656193
+0.00657845
+0.00544956
+0.00488023
+0.00509583
+0.00582549
+0.00664207
+0.00782561
+0.00927369
+0.0109226
+0.0127353
+0.0146517
+0.0166147
+0.0162037
+0.0147269
+0.0134447
+0.0124133
+0.0116929
+0.0112937
+0.0111134
+0.0111561
+0.0112869
+0.0111975
+0.0111192
+0.0113875
+0.0116831
+0.0119715
+0.0121741
+0.0121765
+0.0124723
+0.0130793
+0.0133801
+0.0139531
+0.0147335
+0.014947
+0.0154412
+0.0162123
+0.0172277
+0.0184484
+0.0195526
+0.0205163
+0.0216593
+0.022955
+0.0243791
+0.0258368
+0.02736
+0.028969
+0.0306502
+0.0323923
+0.0341817
+0.0360068
+0.0378707
+0.0397679
+0.0406998
+0.0409086
+0.041233
+0.0416391
+0.0420985
+0.0426655
+0.0433277
+0.0440754
+0.0449176
+0.0458491
+0.0468638
+0.062278
+0.0608734
+0.0587087
+0.056546
+0.0543856
+0.0522277
+0.0500726
+0.0479201
+0.0457694
+0.0436222
+0.0414795
+0.0393422
+0.037211
+0.0350872
+0.0329721
+0.0308675
+0.0287759
+0.0267001
+0.0246442
+0.0226097
+0.0205979
+0.0186266
+0.0167101
+0.0148694
+0.0131216
+0.0114986
+0.0100433
+0.00826595
+0.00669585
+0.0054419
+0.00484869
+0.00506289
+0.00597915
+0.00733429
+0.00789692
+0.00714314
+0.00646648
+0.00593795
+0.00566311
+0.00584482
+0.00660294
+0.007285
+0.00812978
+0.00918722
+0.0104615
+0.0119584
+0.013634
+0.0154392
+0.0173329
+0.0177791
+0.0164433
+0.0153024
+0.0144047
+0.0137698
+0.0134324
+0.0133008
+0.0133365
+0.0134707
+0.0133711
+0.0133057
+0.0135307
+0.0138136
+0.0141159
+0.0143085
+0.0143117
+0.0145642
+0.0151057
+0.0149475
+0.0147442
+0.0147239
+0.0149898
+0.0155106
+0.0162887
+0.0173031
+0.0185188
+0.0199022
+0.0210659
+0.0221997
+0.0234656
+0.0248604
+0.0263293
+0.0278923
+0.0295352
+0.0312133
+0.0329256
+0.0346875
+0.0364873
+0.0383278
+0.0402035
+0.0406031
+0.0407949
+0.0410297
+0.0413794
+0.0418409
+0.0423907
+0.0430432
+0.0437958
+0.0446432
+0.0455803
+0.0466009
+0.0621943
+0.0607044
+0.0585335
+0.0563641
+0.0541964
+0.0520306
+0.049867
+0.0477053
+0.0455444
+0.0433861
+0.0412312
+0.0390802
+0.0369339
+0.0347932
+0.0326591
+0.030533
+0.0284167
+0.0263126
+0.0242239
+0.0221508
+0.0200931
+0.0180668
+0.0160837
+0.0141618
+0.012314
+0.0105676
+0.00900167
+0.00772066
+0.00687337
+0.00657001
+0.00618574
+0.00635503
+0.00709953
+0.00827806
+0.0081682
+0.00705995
+0.00627823
+0.00563557
+0.00540359
+0.00560146
+0.0064603
+0.00722214
+0.00759967
+0.00850681
+0.00976219
+0.0113063
+0.013037
+0.0148863
+0.0168017
+0.0187766
+0.0182602
+0.0172385
+0.0164468
+0.0158773
+0.0155856
+0.0154891
+0.0155198
+0.0156564
+0.0155496
+0.0154933
+0.015687
+0.0159603
+0.0162726
+0.0160275
+0.0157209
+0.0155787
+0.0155506
+0.0152449
+0.015039
+0.0150318
+0.0152924
+0.0158226
+0.0166092
+0.0176185
+0.0188139
+0.0201771
+0.021425
+0.0225772
+0.0238751
+0.0252879
+0.0268025
+0.028385
+0.030001
+0.031686
+0.0334297
+0.0352234
+0.0370478
+0.0389032
+0.0404371
+0.0404923
+0.0406109
+0.0408468
+0.041198
+0.0416616
+0.0422137
+0.042869
+0.0436245
+0.0444345
+0.0453234
+0.0462989
+0.062181
+0.0606142
+0.0584399
+0.0562669
+0.0540953
+0.0519254
+0.0497572
+0.0475905
+0.0454241
+0.0432598
+0.0410982
+0.0389399
+0.0367855
+0.0346356
+0.0324911
+0.0303532
+0.0282235
+0.0261038
+0.0239969
+0.0219023
+0.0198189
+0.0177613
+0.0157322
+0.0137422
+0.0118229
+0.00999294
+0.00829536
+0.00688225
+0.00595663
+0.0056096
+0.00605637
+0.007069
+0.00844762
+0.00864777
+0.00799978
+0.0072946
+0.00629016
+0.00569804
+0.00542372
+0.00558407
+0.00531836
+0.00507609
+0.00560021
+0.00673726
+0.0082659
+0.0100428
+0.0119536
+0.0139277
+0.0159576
+0.0180138
+0.0200927
+0.0192293
+0.0185187
+0.0180046
+0.0177479
+0.0176781
+0.017705
+0.0178434
+0.017731
+0.0176817
+0.0177376
+0.0166715
+0.0158353
+0.0152473
+0.0149247
+0.0149202
+0.015234
+0.0156323
+0.0155105
+0.0156435
+0.015877
+0.0163918
+0.0171648
+0.0181587
+0.0193271
+0.0206564
+0.0219855
+0.0231097
+0.0243794
+0.025773
+0.0272716
+0.0288521
+0.0305041
+0.0322204
+0.0339834
+0.0357364
+0.0375267
+0.0393575
+0.0403362
+0.0403824
+0.0405153
+0.0407494
+0.0410788
+0.0415214
+0.0420735
+0.042702
+0.0434055
+0.0442065
+0.0450998
+0.04608
+0.062204
+0.0606031
+0.0584284
+0.056255
+0.0540829
+0.0519124
+0.0497437
+0.0475763
+0.0454093
+0.0432442
+0.0410819
+0.0389227
+0.0367672
+0.0346161
+0.0324704
+0.0303309
+0.0281993
+0.0260773
+0.0239676
+0.0218611
+0.0197597
+0.01768
+0.0156306
+0.0136254
+0.0116868
+0.00983136
+0.00809999
+0.00664546
+0.00568112
+0.00531684
+0.00578626
+0.006839
+0.00825612
+0.00861001
+0.0077749
+0.00738976
+0.00689362
+0.00598532
+0.00563623
+0.0047183
+0.00338722
+0.00299541
+0.00381062
+0.00529214
+0.00713731
+0.00913079
+0.011159
+0.0132267
+0.0153287
+0.0174525
+0.019591
+0.0212595
+0.0206063
+0.0201456
+0.0199165
+0.0198674
+0.0198913
+0.0200311
+0.019877
+0.0185687
+0.0172894
+0.0161942
+0.0153355
+0.0147067
+0.014372
+0.0143672
+0.0146928
+0.0153117
+0.0157053
+0.0158586
+0.0162615
+0.0167644
+0.0175287
+0.0185219
+0.0196697
+0.0209773
+0.0224231
+0.0238325
+0.0250656
+0.0264231
+0.0278868
+0.0294342
+0.0310553
+0.0327427
+0.0344868
+0.0362794
+0.0381136
+0.0399259
+0.0402504
+0.0402967
+0.0404528
+0.0406873
+0.0410163
+0.041418
+0.0419204
+0.0425147
+0.0432121
+0.0440075
+0.0448959
+0.0458717
+0.0622467
+0.0606697
+0.0584968
+0.0563253
+0.0541546
+0.0519842
+0.0498155
+0.0476487
+0.0454842
+0.0433224
+0.0411636
+0.0390084
+0.0368573
+0.0347112
+0.0325711
+0.0304381
+0.0283139
+0.0262007
+0.0241014
+0.0220069
+0.0199209
+0.01786
+0.015834
+0.0138582
+0.01194
+0.0100968
+0.0084197
+0.00700884
+0.00607903
+0.00575195
+0.00618243
+0.00718606
+0.00854136
+0.00868313
+0.00770164
+0.00709132
+0.00693916
+0.00621472
+0.00500309
+0.00371676
+0.00192602
+0.00126072
+0.00250341
+0.00442598
+0.00646607
+0.00856659
+0.010687
+0.012831
+0.0149886
+0.0171545
+0.019326
+0.0215014
+0.0227127
+0.0222956
+0.0220888
+0.0220569
+0.0220785
+0.0206561
+0.019184
+0.0178249
+0.0166441
+0.015682
+0.0149742
+0.0144807
+0.0141406
+0.0141358
+0.0144666
+0.0150948
+0.0158432
+0.0158553
+0.0161326
+0.0166951
+0.0175155
+0.018545
+0.0197365
+0.0210888
+0.0225731
+0.0241651
+0.0258434
+0.0272311
+0.0286566
+0.0301645
+0.0317483
+0.0334008
+0.0351122
+0.0368744
+0.0386804
+0.0403361
+0.0402403
+0.0402416
+0.0403268
+0.0405303
+0.040845
+0.0412484
+0.0417528
+0.0423495
+0.0430495
+0.0438479
+0.0447395
+0.0457186
+0.0622408
+0.0608014
+0.0586334
+0.0564672
+0.0543021
+0.0521379
+0.0499758
+0.0478163
+0.0456597
+0.0435066
+0.0413575
+0.0392129
+0.0370737
+0.0349409
+0.0328157
+0.0306998
+0.028595
+0.0265043
+0.024431
+0.0223674
+0.0203185
+0.0183024
+0.0163275
+0.0143847
+0.0125181
+0.0107743
+0.00922124
+0.00795386
+0.00713357
+0.00684176
+0.00723392
+0.00810537
+0.00931567
+0.00888762
+0.00782351
+0.00718304
+0.00638501
+0.00575635
+0.00456623
+0.00344435
+0.00190606
+0.00128169
+0.00248534
+0.00436286
+0.0064059
+0.0085146
+0.0106513
+0.0128032
+0.0149648
+0.0171337
+0.0193076
+0.0214848
+0.0236646
+0.0244502
+0.0242618
+0.0233428
+0.0217426
+0.02023
+0.0186997
+0.0173026
+0.0160835
+0.0150856
+0.0143552
+0.0139185
+0.0137699
+0.0139657
+0.0144569
+0.0147928
+0.0154211
+0.0159219
+0.016198
+0.0167584
+0.0175758
+0.0186165
+0.0198124
+0.0211599
+0.0226395
+0.0242271
+0.0259015
+0.0276457
+0.0292714
+0.0307827
+0.0323364
+0.0339603
+0.0356449
+0.037382
+0.0391647
+0.0402855
+0.0401896
+0.0401866
+0.0402719
+0.0404757
+0.0407908
+0.0411947
+0.0416998
+0.0422972
+0.0429788
+0.0437574
+0.0446299
+0.0455911
+0.0622963
+0.0610116
+0.0588513
+0.0566933
+0.0545373
+0.0523828
+0.0502312
+0.0480832
+0.0459392
+0.0437998
+0.0416657
+0.0395379
+0.0374173
+0.0353053
+0.0332034
+0.0311138
+0.0290392
+0.0269828
+0.0249494
+0.022926
+0.0209184
+0.0189514
+0.0170391
+0.0151874
+0.0134329
+0.0118247
+0.0104293
+0.00932749
+0.00859414
+0.00835351
+0.00864072
+0.00937297
+0.0103987
+0.00941593
+0.00794675
+0.00645595
+0.00520259
+0.00446328
+0.00444841
+0.00380241
+0.00325756
+0.00287122
+0.00360651
+0.00512626
+0.00694185
+0.00891822
+0.0109763
+0.0130775
+0.0152039
+0.0173464
+0.0194996
+0.0216603
+0.0238265
+0.0258308
+0.024371
+0.0226675
+0.0209948
+0.0194254
+0.0179864
+0.0167102
+0.0156237
+0.014784
+0.0140472
+0.0135682
+0.0134138
+0.0136148
+0.0140544
+0.0144175
+0.0150424
+0.015661
+0.0161794
+0.0168701
+0.0178052
+0.0189028
+0.0200957
+0.0214338
+0.0229036
+0.0244814
+0.0261436
+0.0278726
+0.0296627
+0.0312913
+0.0329055
+0.0345508
+0.036208
+0.0379193
+0.0396778
+0.0403051
+0.0401906
+0.0401914
+0.0403001
+0.0405149
+0.0407968
+0.0411523
+0.0416202
+0.0421968
+0.0428777
+0.0436581
+0.0445254
+0.0454684
+0.0623254
+0.0612993
+0.0591495
+0.0570029
+0.054859
+0.0527176
+0.0505803
+0.0484478
+0.0463206
+0.0441997
+0.042086
+0.0399805
+0.0378847
+0.0358002
+0.0337292
+0.0316744
+0.0296389
+0.0276273
+0.0256234
+0.0236419
+0.0217006
+0.0198114
+0.0179908
+0.0162479
+0.0146212
+0.0131591
+0.0119208
+0.0109365
+0.0102923
+0.0100922
+0.0103018
+0.0109233
+0.0106811
+0.00866558
+0.00675249
+0.00498796
+0.00357937
+0.00289905
+0.00326953
+0.00444632
+0.00466752
+0.00481526
+0.00531392
+0.00645772
+0.00803969
+0.00980615
+0.0117091
+0.0136984
+0.0157412
+0.0178192
+0.0199214
+0.0220408
+0.0241729
+0.025254
+0.0236558
+0.0221238
+0.0204554
+0.0188411
+0.0173537
+0.0160272
+0.014891
+0.0140074
+0.0133746
+0.0130648
+0.0131185
+0.0134627
+0.0139853
+0.0143501
+0.0149779
+0.0155998
+0.0161769
+0.0168677
+0.017803
+0.0189418
+0.0202428
+0.0216875
+0.0232491
+0.0248934
+0.0265338
+0.028249
+0.0300261
+0.0317611
+0.0333526
+0.0350089
+0.0367212
+0.038482
+0.0402851
+0.0403775
+0.0402592
+0.0402599
+0.0403682
+0.0405328
+0.040773
+0.0411099
+0.041556
+0.0421114
+0.042772
+0.0435328
+0.0443889
+0.0453348
+0.0623868
+0.0615938
+0.059527
+0.0573944
+0.0552657
+0.0531408
+0.0510212
+0.0489079
+0.0468017
+0.0447036
+0.0426148
+0.0405368
+0.0384713
+0.0364204
+0.0343868
+0.0323737
+0.0303852
+0.0284027
+0.0264479
+0.0245331
+0.0226683
+0.0208669
+0.0191368
+0.0175044
+0.0160059
+0.0146823
+0.0135561
+0.0126761
+0.0121247
+0.0119553
+0.0121322
+0.0123118
+0.0101754
+0.00806828
+0.00599697
+0.00401921
+0.00228226
+0.00140447
+0.00223912
+0.00375118
+0.00544277
+0.00656188
+0.00725317
+0.00814057
+0.00944527
+0.0110339
+0.01278
+0.0146243
+0.0165532
+0.0185404
+0.020569
+0.0226278
+0.0247094
+0.0247404
+0.0230732
+0.0214773
+0.019969
+0.0184993
+0.016982
+0.015624
+0.0144561
+0.0135442
+0.0128887
+0.0125669
+0.0126227
+0.0129801
+0.0136189
+0.0142992
+0.0147658
+0.0154003
+0.0162667
+0.0171475
+0.0180683
+0.0191914
+0.0204765
+0.0219058
+0.0234529
+0.0250961
+0.0268099
+0.0285767
+0.0303987
+0.0322666
+0.0339355
+0.0355646
+0.0372514
+0.0389883
+0.0407689
+0.0405642
+0.0404464
+0.0404222
+0.0404168
+0.0405166
+0.0407342
+0.0410676
+0.0415141
+0.0420701
+0.0427313
+0.0434929
+0.0443497
+0.0452964
+0.062525
+0.0617337
+0.0599821
+0.0578663
+0.0557556
+0.0536501
+0.0515514
+0.0494608
+0.0473792
+0.0453078
+0.0432483
+0.0412022
+0.0391718
+0.0371596
+0.0351688
+0.0332031
+0.031242
+0.0293129
+0.0274231
+0.0255814
+0.023797
+0.0220746
+0.020442
+0.0189225
+0.0175455
+0.0163363
+0.0153115
+0.0145382
+0.01406
+0.0139142
+0.014066
+0.0122335
+0.0100816
+0.00795101
+0.00584193
+0.00379419
+0.00197462
+0.00110395
+0.00223332
+0.0039031
+0.00566638
+0.00731033
+0.00902142
+0.0100119
+0.011108
+0.0124868
+0.0140731
+0.0158017
+0.0176021
+0.0194826
+0.0214221
+0.023406
+0.0254239
+0.0243736
+0.0226608
+0.0210096
+0.0194652
+0.0180159
+0.0167027
+0.0155073
+0.0143463
+0.0134269
+0.0127654
+0.0124404
+0.0124968
+0.0128576
+0.013473
+0.0141269
+0.0146582
+0.0152973
+0.0161691
+0.0172764
+0.0184131
+0.0196832
+0.0209381
+0.0223379
+0.023857
+0.0254741
+0.027164
+0.0289092
+0.0307115
+0.0325615
+0.0344514
+0.0361414
+0.0378025
+0.0395152
+0.0410954
+0.0407824
+0.0405733
+0.0404763
+0.0404684
+0.0405681
+0.0407854
+0.0411184
+0.0415643
+0.0421197
+0.0427801
+0.0435408
+0.0443904
+0.0453194
+0.0627394
+0.0619509
+0.0605131
+0.0584166
+0.0563265
+0.0542432
+0.0521684
+0.0501035
+0.0480497
+0.0460086
+0.0439818
+0.0419716
+0.0399802
+0.0380109
+0.0360641
+0.0341263
+0.032221
+0.0303542
+0.0285334
+0.0267612
+0.025051
+0.023421
+0.021889
+0.0204772
+0.0192117
+0.0180872
+0.0171673
+0.0164813
+0.016061
+0.0159335
+0.0146188
+0.0124937
+0.0103959
+0.00834584
+0.00635376
+0.00447691
+0.00300096
+0.00242903
+0.0031676
+0.00467812
+0.00641383
+0.00817932
+0.00975925
+0.0114926
+0.0128558
+0.0141313
+0.0155507
+0.0171334
+0.0188383
+0.0206153
+0.0224572
+0.024357
+0.0254981
+0.0241857
+0.022433
+0.0207637
+0.0191943
+0.0176894
+0.0162869
+0.0150367
+0.0140192
+0.0132846
+0.0128164
+0.0126326
+0.0126881
+0.0130437
+0.0136419
+0.0142881
+0.0148761
+0.0155062
+0.0163669
+0.0174616
+0.0186369
+0.0199033
+0.0213036
+0.0228212
+0.0244231
+0.026005
+0.02767
+0.0294014
+0.0311755
+0.0329995
+0.0348657
+0.0367677
+0.0384301
+0.0401203
+0.041208
+0.0408839
+0.0406697
+0.0405557
+0.0405478
+0.0406473
+0.0408642
+0.0411966
+0.0416417
+0.042196
+0.0428552
+0.0436147
+0.0444615
+0.0453854
+0.0630293
+0.0622444
+0.0611181
+0.0590431
+0.056976
+0.0549173
+0.052869
+0.0508325
+0.0488094
+0.0468014
+0.0448106
+0.0428392
+0.0408902
+0.038961
+0.0370452
+0.0351616
+0.0333155
+0.0315123
+0.0297527
+0.0280538
+0.0264274
+0.0248877
+0.0234517
+0.0221398
+0.0209534
+0.0199253
+0.0190942
+0.0184798
+0.018106
+0.0172325
+0.0151572
+0.0131026
+0.0110926
+0.00916577
+0.00738733
+0.00583055
+0.00469771
+0.00431426
+0.00479455
+0.00595207
+0.00753134
+0.00925039
+0.0108565
+0.0124682
+0.014165
+0.0157243
+0.0171014
+0.0186259
+0.0202053
+0.0218901
+0.0236505
+0.0254614
+0.0249325
+0.0236676
+0.0221308
+0.02053
+0.019047
+0.017565
+0.0161361
+0.0148737
+0.0138448
+0.0131043
+0.0126351
+0.0125309
+0.0128063
+0.0132976
+0.0139731
+0.0144932
+0.0150239
+0.0156486
+0.0165061
+0.0175922
+0.0188663
+0.0202577
+0.0217195
+0.0232099
+0.0248045
+0.0264844
+0.0282344
+0.0300176
+0.0317746
+0.0335749
+0.0354108
+0.0372851
+0.0391631
+0.0408231
+0.0414245
+0.0410964
+0.0408663
+0.0407529
+0.0407386
+0.0408376
+0.0410535
+0.0413844
+0.0418275
+0.0423791
+0.043014
+0.0437429
+0.0445324
+0.045414
+0.0633935
+0.0626132
+0.0617949
+0.0597434
+0.0577014
+0.0556695
+0.0536499
+0.0516443
+0.0496543
+0.0476819
+0.0457293
+0.0437994
+0.0418867
+0.0399911
+0.0381271
+0.0362996
+0.0345092
+0.032764
+0.0310753
+0.0294528
+0.027908
+0.0264546
+0.0251085
+0.0238777
+0.022771
+0.0218286
+0.0210727
+0.0205176
+0.0199735
+0.0179308
+0.0159275
+0.0139805
+0.0121171
+0.0103822
+0.00880767
+0.00753833
+0.00665861
+0.00639637
+0.00672671
+0.00761379
+0.00892432
+0.0104988
+0.0120793
+0.013648
+0.0152747
+0.0169783
+0.0186493
+0.0200628
+0.0216064
+0.0232369
+0.0249383
+0.0259506
+0.024543
+0.0232569
+0.0216991
+0.0200639
+0.0185436
+0.0171688
+0.0159208
+0.014891
+0.0139628
+0.0132293
+0.0127672
+0.0126641
+0.0129366
+0.0134232
+0.0141179
+0.0146086
+0.0151352
+0.0158142
+0.0166632
+0.0177396
+0.0190086
+0.0204298
+0.0219412
+0.0235582
+0.0252618
+0.0269984
+0.0287171
+0.0304921
+0.0323095
+0.0341707
+0.036069
+0.0379201
+0.0397987
+0.0416293
+0.0416252
+0.0412819
+0.0410529
+0.04094
+0.0409441
+0.0410496
+0.0412643
+0.0415935
+0.0419876
+0.0424719
+0.0430623
+0.0437546
+0.0445439
+0.0454253
+0.0638185
+0.0630435
+0.0623358
+0.0605149
+0.0584999
+0.0564967
+0.0545078
+0.0525349
+0.0505799
+0.0486451
+0.0467328
+0.0448356
+0.0429584
+0.0411122
+0.0393006
+0.0375225
+0.0357901
+0.0341105
+0.0324919
+0.0309438
+0.0294772
+0.0281051
+0.0268406
+0.0256751
+0.0246492
+0.0237814
+0.0230895
+0.0225841
+0.0207923
+0.0188386
+0.0169429
+0.0151272
+0.013422
+0.0118413
+0.0104819
+0.00942678
+0.00870953
+0.00851152
+0.00876371
+0.00949267
+0.0105728
+0.0119606
+0.0135196
+0.0149498
+0.0165099
+0.0181675
+0.019876
+0.0216207
+0.0230602
+0.0246108
+0.0260808
+0.0257418
+0.0243221
+0.0229614
+0.0214832
+0.0198301
+0.0182904
+0.0168411
+0.0155658
+0.0145108
+0.0136603
+0.0131229
+0.0128896
+0.0129885
+0.0132753
+0.0138014
+0.0145276
+0.0149226
+0.0155573
+0.0162756
+0.0171018
+0.0181522
+0.0193942
+0.0207933
+0.0223045
+0.0238969
+0.025578
+0.0273313
+0.0291439
+0.0310053
+0.0328784
+0.0347091
+0.0365795
+0.0384836
+0.0402944
+0.0419939
+0.0419136
+0.0415727
+0.0413267
+0.0411919
+0.0411503
+0.0412033
+0.0413723
+0.0416561
+0.0420516
+0.0425369
+0.0431265
+0.0438177
+0.0446059
+0.0454861
+0.0642557
+0.0635288
+0.0628422
+0.061355
+0.0593685
+0.0573956
+0.055439
+0.0534993
+0.0515775
+0.0496781
+0.0478034
+0.045943
+0.0441129
+0.0423129
+0.0405485
+0.0388276
+0.0371562
+0.0355412
+0.0339908
+0.0325141
+0.0311216
+0.0298252
+0.02862
+0.0275296
+0.0265754
+0.0257725
+0.0251355
+0.0237132
+0.0218012
+0.0199466
+0.0181669
+0.0164802
+0.0149015
+0.0134948
+0.0123192
+0.0114009
+0.0108154
+0.0106566
+0.0108591
+0.0114617
+0.0123905
+0.0135939
+0.0150222
+0.0164373
+0.0178743
+0.019444
+0.0211185
+0.022826
+0.0245045
+0.0255695
+0.0267537
+0.0257147
+0.0242423
+0.0227891
+0.021402
+0.0198078
+0.0182176
+0.0167634
+0.0154835
+0.0143929
+0.0135339
+0.0129913
+0.0127555
+0.0128555
+0.0131452
+0.0137162
+0.0144777
+0.0149939
+0.0156859
+0.0166376
+0.0176886
+0.0188051
+0.0200135
+0.0213721
+0.0228511
+0.0244079
+0.026056
+0.0277792
+0.0295643
+0.0314009
+0.0332803
+0.0351957
+0.037004
+0.0385999
+0.0402517
+0.0419529
+0.0422295
+0.0418463
+0.0415534
+0.0413745
+0.0413112
+0.041364
+0.0415324
+0.0418151
+0.0421946
+0.0426766
+0.0432642
+0.0439533
+0.0447391
+0.0456057
+0.0647351
+0.0640137
+0.0633486
+0.0622609
+0.0603019
+0.0583575
+0.0564311
+0.0545247
+0.0526404
+0.0507807
+0.0489416
+0.0471256
+0.0453368
+0.0435847
+0.041874
+0.0402098
+0.0385983
+0.0370462
+0.0355615
+0.0341527
+0.0328299
+0.0315942
+0.0304527
+0.0294303
+0.0285397
+0.0277936
+0.0266742
+0.024797
+0.0229753
+0.0212235
+0.0195507
+0.0179747
+0.0165392
+0.015284
+0.0142496
+0.0134423
+0.0129494
+0.0128166
+0.0129844
+0.0134939
+0.014313
+0.0153666
+0.0166434
+0.0180659
+0.0193849
+0.0208461
+0.0224223
+0.0240931
+0.0253461
+0.0263682
+0.0273834
+0.0258246
+0.0242659
+0.022802
+0.0211979
+0.0196876
+0.0183153
+0.0169459
+0.015681
+0.0146054
+0.0137596
+0.0132263
+0.0129948
+0.0130929
+0.0133775
+0.013939
+0.0147321
+0.0153783
+0.0160555
+0.0169865
+0.0180863
+0.0192596
+0.020525
+0.0219368
+0.0234683
+0.0250979
+0.0267057
+0.0283895
+0.0301385
+0.0319421
+0.0337914
+0.0355585
+0.0370872
+0.0386796
+0.0403282
+0.0420263
+0.0425207
+0.0421187
+0.0418276
+0.0416499
+0.0415854
+0.0416156
+0.0417608
+0.0420199
+0.0423908
+0.0428705
+0.0434555
+0.0441416
+0.0449238
+0.045783
+0.0652846
+0.0645693
+0.0639101
+0.063222
+0.0612919
+0.0593799
+0.0574877
+0.0556176
+0.0537716
+0.051952
+0.0501463
+0.0483701
+0.046629
+0.0449274
+0.0432698
+0.0416614
+0.0401082
+0.0386169
+0.0371949
+0.0358504
+0.0345901
+0.0334074
+0.03233
+0.0313689
+0.0305349
+0.0296632
+0.0278152
+0.0260204
+0.0242907
+0.0226287
+0.0210551
+0.0196004
+0.018293
+0.0171665
+0.0162285
+0.0155245
+0.0150997
+0.0149832
+0.015127
+0.0155692
+0.0162926
+0.0172357
+0.0183831
+0.019708
+0.0210156
+0.0223706
+0.0238501
+0.0253835
+0.0263335
+0.0273187
+0.0276405
+0.0260211
+0.0244748
+0.0228387
+0.0212193
+0.0197106
+0.0183278
+0.0170765
+0.0159953
+0.0151353
+0.0143208
+0.0138092
+0.0135876
+0.0136815
+0.0139541
+0.0144932
+0.0152575
+0.0157792
+0.0163991
+0.01726
+0.0183242
+0.0195471
+0.0209286
+0.0224392
+0.0240346
+0.0256281
+0.0273046
+0.0290421
+0.0308248
+0.0326217
+0.0343323
+0.0357794
+0.037299
+0.0388828
+0.0405231
+0.0421859
+0.042899
+0.0424788
+0.0421682
+0.0419699
+0.0418854
+0.0419153
+0.0420595
+0.0423168
+0.0426851
+0.0431615
+0.0437426
+0.0444068
+0.0451522
+0.045988
+0.0659023
+0.0651938
+0.0645411
+0.0639542
+0.0623431
+0.0604643
+0.0586072
+0.0567739
+0.0549668
+0.053176
+0.0514111
+0.04968
+0.0479866
+0.0463348
+0.0447294
+0.0431754
+0.0416787
+0.0402456
+0.0388832
+0.0375992
+0.0363859
+0.0352635
+0.0342446
+0.0333387
+0.0325552
+0.0308492
+0.0290767
+0.0273648
+0.0257116
+0.0241401
+0.0226717
+0.0213275
+0.0201326
+0.0191101
+0.0182559
+0.017633
+0.0172602
+0.0171559
+0.0172816
+0.0176723
+0.0183128
+0.0191729
+0.0202107
+0.0214229
+0.0227391
+0.0239984
+0.0253832
+0.0266129
+0.0274455
+0.0283815
+0.0278507
+0.0263649
+0.0247587
+0.0230601
+0.0214502
+0.0199414
+0.0185598
+0.0172967
+0.0162268
+0.0153763
+0.0147652
+0.0144075
+0.0143353
+0.0145467
+0.0148349
+0.0153136
+0.0156646
+0.0160494
+0.0166606
+0.0175087
+0.0185675
+0.0197868
+0.0211631
+0.022668
+0.0242695
+0.0259561
+0.0277133
+0.0295285
+0.0313916
+0.0329566
+0.0345376
+0.036132
+0.0376374
+0.0391863
+0.0406817
+0.0421879
+0.0433009
+0.0428845
+0.042577
+0.0423805
+0.0422968
+0.0423265
+0.0424662
+0.0426993
+0.0430426
+0.0434829
+0.0440263
+0.0446707
+0.0454116
+0.0462428
+0.066475
+0.0658441
+0.0652395
+0.064659
+0.0634525
+0.0616076
+0.0597861
+0.05799
+0.0562132
+0.0544585
+0.0527365
+0.0510504
+0.049404
+0.0478012
+0.0462467
+0.0447455
+0.0433031
+0.0419255
+0.0406195
+0.0393829
+0.038223
+0.0371561
+0.0361905
+0.0353345
+0.0338949
+0.032141
+0.0304435
+0.0287977
+0.0272281
+0.0257494
+0.0243781
+0.0231333
+0.0220365
+0.0210881
+0.0203171
+0.0197593
+0.0194274
+0.0193326
+0.0194443
+0.0197945
+0.0203684
+0.0211546
+0.0221044
+0.0232179
+0.0244773
+0.0257099
+0.0270071
+0.0278763
+0.028634
+0.0295342
+0.0280316
+0.0265537
+0.0249332
+0.0233189
+0.0217988
+0.0203937
+0.0190092
+0.0177686
+0.0167241
+0.01589
+0.0152575
+0.0149034
+0.0148336
+0.0150347
+0.0153255
+0.0157937
+0.0161793
+0.0165535
+0.0171828
+0.0180222
+0.0190525
+0.0202426
+0.0215899
+0.0230669
+0.0246426
+0.0263053
+0.0280406
+0.0298359
+0.031681
+0.0332881
+0.0348541
+0.0364628
+0.0378527
+0.0392768
+0.040769
+0.0422885
+0.0436605
+0.043251
+0.0429461
+0.0427515
+0.0426685
+0.042698
+0.0428396
+0.0430923
+0.043427
+0.0438618
+0.0444006
+0.0450396
+0.0457732
+0.0465716
+0.0670865
+0.0664615
+0.0659034
+0.0653883
+0.0646172
+0.0628066
+0.0610208
+0.0592566
+0.0575114
+0.0557976
+0.0541182
+0.0524765
+0.0508762
+0.0493213
+0.0478163
+0.0463659
+0.0449755
+0.0436508
+0.0423945
+0.0412028
+0.0400956
+0.0390798
+0.0381629
+0.0369493
+0.0352112
+0.033524
+0.0318861
+0.0303181
+0.0288315
+0.0274393
+0.0261567
+0.0250007
+0.0239861
+0.0231044
+0.022403
+0.0218984
+0.0215993
+0.0215122
+0.0216126
+0.0219301
+0.0224495
+0.0231652
+0.0240472
+0.0250746
+0.0262451
+0.0274772
+0.0285401
+0.0292093
+0.0299324
+0.0299245
+0.0283788
+0.0267226
+0.0250445
+0.0234392
+0.0219274
+0.0205336
+0.0192659
+0.0181664
+0.0172558
+0.0165364
+0.0160274
+0.015683
+0.015589
+0.015758
+0.0160358
+0.01654
+0.0168995
+0.0173206
+0.017923
+0.0187432
+0.0197455
+0.020919
+0.0222253
+0.0236627
+0.0252013
+0.0268293
+0.0285328
+0.0302989
+0.0321174
+0.0337474
+0.0352944
+0.0366987
+0.0380727
+0.0394889
+0.0409734
+0.042502
+0.0440359
+0.0437181
+0.0434165
+0.0432239
+0.0431419
+0.043171
+0.0433111
+0.043561
+0.0438893
+0.044311
+0.0448323
+0.0454364
+0.0461367
+0.0469289
+0.0677634
+0.0671447
+0.0665923
+0.066108
+0.065681
+0.064058
+0.0623055
+0.0605688
+0.0588625
+0.0571892
+0.0555519
+0.0539539
+0.0523987
+0.0508904
+0.0494331
+0.0480316
+0.0466908
+0.0454161
+0.0441989
+0.0430573
+0.0419989
+0.0410303
+0.0400103
+0.0382859
+0.036607
+0.0349763
+0.0334097
+0.0319166
+0.0305079
+0.0291958
+0.0279939
+0.0269168
+0.0259623
+0.02515
+0.0245072
+0.0240467
+0.0237747
+0.0236938
+0.0237851
+0.0240756
+0.0245496
+0.0252058
+0.0260266
+0.0269789
+0.0280701
+0.0292847
+0.029999
+0.0306106
+0.031301
+0.0304076
+0.0287354
+0.0270048
+0.0253454
+0.0237604
+0.0222705
+0.0208813
+0.0196159
+0.0185239
+0.0176372
+0.016934
+0.016494
+0.0163175
+0.016398
+0.0167388
+0.0170005
+0.0174904
+0.0178502
+0.0182862
+0.0188827
+0.0196696
+0.0206269
+0.0217623
+0.023047
+0.0244411
+0.0259335
+0.0275182
+0.0291815
+0.0309106
+0.0326951
+0.0343248
+0.0357381
+0.0370553
+0.0384166
+0.0398206
+0.0412931
+0.0428267
+0.0443452
+0.0442887
+0.043991
+0.043801
+0.04372
+0.0437488
+0.043887
+0.0440924
+0.0443833
+0.0447796
+0.0452785
+0.0458473
+0.0465015
+0.0472343
+0.0684367
+0.0678918
+0.0673455
+0.0668666
+0.0664445
+0.0653589
+0.0636302
+0.0619308
+0.060263
+0.0586297
+0.0570338
+0.0554784
+0.0539672
+0.052504
+0.0510927
+0.049738
+0.0484445
+0.0472082
+0.046037
+0.044942
+0.0439291
+0.043004
+0.0413641
+0.0396923
+0.0380677
+0.0365023
+0.0350041
+0.033582
+0.0322462
+0.0310077
+0.0298787
+0.0288697
+0.0279704
+0.0272181
+0.0266253
+0.0262021
+0.0259527
+0.025877
+0.0259606
+0.0262274
+0.0266644
+0.0272697
+0.0280336
+0.0289238
+0.0299442
+0.0310566
+0.0315222
+0.0320709
+0.0324345
+0.0309282
+0.0291631
+0.0274512
+0.0258066
+0.0242445
+0.0227789
+0.0214017
+0.020169
+0.0191022
+0.0182273
+0.0175556
+0.0171315
+0.0169503
+0.0170278
+0.0173832
+0.017954
+0.01865
+0.019
+0.0194348
+0.0199971
+0.0207565
+0.0216945
+0.0227768
+0.0240072
+0.0253675
+0.0268251
+0.0283601
+0.0299767
+0.0316624
+0.0334067
+0.0350261
+0.0362369
+0.0375366
+0.0388811
+0.0402689
+0.0417256
+0.0432442
+0.0447484
+0.0449499
+0.0446565
+0.0444693
+0.0443557
+0.0443421
+0.0443903
+0.04453
+0.0447766
+0.0451283
+0.0455826
+0.0461367
+0.0467868
+0.0475152
+0.069137
+0.0686119
+0.0681017
+0.0676556
+0.0672707
+0.066695
+0.0650018
+0.0633392
+0.0617095
+0.0601155
+0.0585601
+0.0570464
+0.0555778
+0.0541581
+0.0527911
+0.0514811
+0.0502283
+0.0490313
+0.0479046
+0.0468533
+0.0458826
+0.0444451
+0.0427795
+0.0411602
+0.0395958
+0.0380933
+0.0366601
+0.0353048
+0.0340367
+0.0328657
+0.0318028
+0.0308442
+0.0300041
+0.0293041
+0.0287543
+0.0283629
+0.0281326
+0.0280614
+0.0281384
+0.0283848
+0.0287905
+0.029352
+0.030063
+0.0309017
+0.0318587
+0.0326776
+0.0330954
+0.0335928
+0.0329276
+0.031459
+0.0297165
+0.0280315
+0.0264193
+0.0248958
+0.0234505
+0.0221153
+0.0209238
+0.0198883
+0.0190494
+0.0184057
+0.0180017
+0.0178314
+0.0179051
+0.0182434
+0.0187881
+0.0195592
+0.0203103
+0.0207392
+0.0212794
+0.0219945
+0.0228951
+0.0239491
+0.0251222
+0.0264252
+0.0278398
+0.0293416
+0.0309069
+0.0325445
+0.034244
+0.0356697
+0.0368594
+0.0381379
+0.0394619
+0.0408299
+0.0422673
+0.0437636
+0.045251
+0.0456264
+0.0453101
+0.0450226
+0.0448404
+0.0447648
+0.0447964
+0.0449348
+0.0451792
+0.0455277
+0.0459782
+0.0465275
+0.0471723
+0.0478948
+0.0698141
+0.0692941
+0.0688397
+0.0684289
+0.0680555
+0.0677509
+0.0664174
+0.0647911
+0.0631989
+0.0616434
+0.0601275
+0.0586543
+0.057227
+0.0558492
+0.0545246
+0.0532569
+0.0520378
+0.0508834
+0.0497986
+0.0487882
+0.0475282
+0.0458682
+0.0442534
+0.04269
+0.0411838
+0.0397413
+0.0383698
+0.037077
+0.0358716
+0.0347625
+0.0337576
+0.0328461
+0.0320585
+0.0314043
+0.0308919
+0.0305279
+0.0303141
+0.0302466
+0.0303181
+0.030547
+0.0309256
+0.031449
+0.0321136
+0.0329064
+0.0338068
+0.0343485
+0.0347103
+0.0350707
+0.0335567
+0.0321121
+0.0304008
+0.0287546
+0.0271825
+0.0256958
+0.0242935
+0.0230072
+0.0218643
+0.0208756
+0.020059
+0.0194437
+0.0190616
+0.0189198
+0.0189893
+0.0193087
+0.0198219
+0.0205542
+0.0213228
+0.0219351
+0.022633
+0.0233727
+0.0242222
+0.0252337
+0.0263724
+0.0276165
+0.028973
+0.0304268
+0.0319605
+0.0335467
+0.0351978
+0.0363802
+0.03756
+0.0387933
+0.0400797
+0.041442
+0.042856
+0.0443257
+0.0457987
+0.0461995
+0.0458129
+0.0455286
+0.0453484
+0.0452737
+0.0453048
+0.0454417
+0.0456834
+0.0460281
+0.0464737
+0.0469939
+0.0475933
+0.0482716
+0.0705527
+0.0700382
+0.0695889
+0.0691948
+0.068866
+0.068593
+0.0678742
+0.0662836
+0.0647281
+0.0632103
+0.0617329
+0.0602989
+0.0589114
+0.057574
+0.05629
+0.0550545
+0.0538756
+0.0527614
+0.0517161
+0.0506123
+0.048958
+0.0473473
+0.0457847
+0.0442754
+0.042825
+0.0414397
+0.0401263
+0.0388919
+0.0377445
+0.0366921
+0.0357306
+0.0348707
+0.0341299
+0.0335161
+0.0330365
+0.0326964
+0.0324969
+0.0324326
+0.0324993
+0.0327129
+0.033068
+0.033558
+0.0341817
+0.0349315
+0.035783
+0.0360333
+0.0363814
+0.0357964
+0.0343144
+0.0328914
+0.031221
+0.0296132
+0.0280844
+0.0266481
+0.0252986
+0.024066
+0.0229759
+0.0220263
+0.0212426
+0.0206625
+0.0203035
+0.0201481
+0.0202134
+0.0205137
+0.0210328
+0.0217244
+0.0224612
+0.0230433
+0.0237106
+0.0244735
+0.025396
+0.026468
+0.0276558
+0.0289248
+0.0302227
+0.0316191
+0.0331018
+0.0346585
+0.0360992
+0.0371589
+0.0383148
+0.0395243
+0.0407877
+0.0421263
+0.0435176
+0.0449671
+0.0464395
+0.0466835
+0.046301
+0.0460197
+0.0458415
+0.0457675
+0.0457954
+0.0459106
+0.0461297
+0.0464511
+0.0468729
+0.0473911
+0.0479663
+0.0486334
+0.071351
+0.0708423
+0.0703982
+0.0700086
+0.0696837
+0.0694264
+0.0692312
+0.067814
+0.0662945
+0.0648133
+0.0633733
+0.0619773
+0.0606283
+0.0593295
+0.0580797
+0.0568792
+0.055739
+0.0546627
+0.0536545
+0.0520489
+0.0504417
+0.0488798
+0.0473678
+0.0459106
+0.0445135
+0.0431824
+0.0419236
+0.0407438
+0.0396499
+0.0386482
+0.0377277
+0.0369142
+0.0362153
+0.0356374
+0.0351867
+0.0348676
+0.0346806
+0.0346192
+0.0346817
+0.0348819
+0.0352163
+0.0356769
+0.0362641
+0.036972
+0.0375561
+0.0377701
+0.0380634
+0.0365775
+0.0351655
+0.0337876
+0.0321589
+0.0306004
+0.0291234
+0.027741
+0.0264472
+0.0252708
+0.0242221
+0.0233068
+0.0225677
+0.0220225
+0.021686
+0.0215298
+0.0215909
+0.0218723
+0.0223657
+0.0230438
+0.0237476
+0.0242989
+0.0249326
+0.0256592
+0.0265405
+0.0275681
+0.0287179
+0.0299727
+0.0313193
+0.0327572
+0.0342749
+0.035845
+0.0370138
+0.0380481
+0.0391777
+0.0403612
+0.0415986
+0.0428953
+0.0440934
+0.0453047
+0.0465876
+0.047139
+0.0467602
+0.0464817
+0.0463053
+0.0462291
+0.0462396
+0.0463537
+0.0465706
+0.0468891
+0.0473069
+0.0478216
+0.0484296
+0.0490905
+0.072207
+0.0717043
+0.0712655
+0.0708808
+0.0705598
+0.0703057
+0.0701192
+0.0693799
+0.0678954
+0.0664499
+0.0650461
+0.0636868
+0.0623748
+0.0611122
+0.0598924
+0.0587289
+0.0576253
+0.056585
+0.0551405
+0.0535365
+0.0519753
+0.0504609
+0.0489978
+0.0475905
+0.0462442
+0.0449644
+0.0437568
+0.0426278
+0.0415835
+0.04062
+0.0397451
+0.0389738
+0.0383124
+0.0377667
+0.0373417
+0.0370411
+0.0368651
+0.0368062
+0.036865
+0.0370535
+0.0373696
+0.0378039
+0.0383586
+0.0390285
+0.0393494
+0.03955
+0.0387163
+0.0372611
+0.035876
+0.0345743
+0.033215
+0.0317085
+0.0302856
+0.02894
+0.0276963
+0.0265752
+0.0255713
+0.024706
+0.02401
+0.0234984
+0.0231833
+0.0230372
+0.0230943
+0.0233576
+0.0238203
+0.0244711
+0.025155
+0.0256761
+0.0262807
+0.026971
+0.0278108
+0.028793
+0.0298958
+0.0311075
+0.0324203
+0.0338115
+0.0352838
+0.0364131
+0.0370233
+0.0377215
+0.0385235
+0.0394243
+0.0404199
+0.0415073
+0.0426796
+0.0439299
+0.0452518
+0.0466392
+0.0472922
+0.0470169
+0.0468424
+0.0467698
+0.0467822
+0.046895
+0.0471095
+0.0474243
+0.0478375
+0.0483465
+0.0489462
+0.0495252
+0.0731186
+0.0726222
+0.072189
+0.0718092
+0.0714924
+0.0712417
+0.0710576
+0.0709407
+0.0695285
+0.0681177
+0.066749
+0.065425
+0.0641486
+0.0629138
+0.0617296
+0.0606014
+0.0595325
+0.0582328
+0.0566317
+0.0550711
+0.0535547
+0.0520862
+0.05067
+0.0493105
+0.0480124
+0.046781
+0.0456216
+0.0445398
+0.0435405
+0.0426131
+0.04178
+0.0410469
+0.0404195
+0.0399026
+0.0395006
+0.0392166
+0.0390504
+0.0389937
+0.0390492
+0.0392272
+0.0395259
+0.0399378
+0.0404632
+0.0410784
+0.0411648
+0.0409501
+0.0394656
+0.0380493
+0.0367037
+0.0354324
+0.0342539
+0.0328688
+0.0315021
+0.0302325
+0.0290538
+0.0279845
+0.027031
+0.0262139
+0.025559
+0.025079
+0.024784
+0.0246474
+0.0247008
+0.0249192
+0.0252432
+0.0257502
+0.0263403
+0.0270794
+0.0276468
+0.0283302
+0.0291587
+0.030097
+0.0311613
+0.0323392
+0.0336129
+0.0339911
+0.0343659
+0.0348744
+0.0354793
+0.0361985
+0.0370311
+0.0379631
+0.038996
+0.0401221
+0.0413337
+0.0426235
+0.0439847
+0.0454107
+0.0468924
+0.0476319
+0.0474598
+0.0473884
+0.0474178
+0.0475312
+0.0477428
+0.0480535
+0.0484543
+0.0488544
+0.0493373
+0.0499118
+0.0740837
+0.0735939
+0.0731665
+0.0727917
+0.0724793
+0.0722319
+0.0720504
+0.0719351
+0.0711915
+0.0698143
+0.0684795
+0.0671897
+0.0659424
+0.0647394
+0.0635892
+0.0624946
+0.0613257
+0.0597271
+0.0581671
+0.0566488
+0.0551758
+0.0537517
+0.0523805
+0.0510665
+0.0498143
+0.0486285
+0.0475142
+0.0464765
+0.0455113
+0.0446248
+0.0438299
+0.0431317
+0.042535
+0.0420441
+0.0416628
+0.0413936
+0.0412362
+0.0411815
+0.0412341
+0.0414026
+0.0416858
+0.0420775
+0.0425766
+0.0429425
+0.043015
+0.0417742
+0.0403201
+0.0389332
+0.0376214
+0.0363867
+0.0350576
+0.0336373
+0.0323031
+0.0310663
+0.0299389
+0.0289337
+0.0280518
+0.0272994
+0.026706
+0.0262823
+0.0260366
+0.025974
+0.0260704
+0.02628
+0.0265875
+0.0270693
+0.0276342
+0.0283396
+0.0289115
+0.0295657
+0.0303642
+0.0312924
+0.032095
+0.0321383
+0.032238
+0.0324855
+0.0328774
+0.0333744
+0.0339971
+0.034747
+0.0356065
+0.0365748
+0.0376459
+0.0388111
+0.0400624
+0.0413918
+0.0427922
+0.0442498
+0.0457609
+0.0473252
+0.0481689
+0.0480986
+0.0481131
+0.0481843
+0.0483449
+0.0485945
+0.0489409
+0.0493291
+0.0498074
+0.0503765
+0.0751004
+0.0746173
+0.0741957
+0.0738262
+0.0735181
+0.0732743
+0.0730953
+0.0729817
+0.0728825
+0.0715378
+0.0702358
+0.0689771
+0.0677572
+0.066587
+0.0654693
+0.0644066
+0.0628229
+0.0612633
+0.0597434
+0.0582663
+0.0568352
+0.0554537
+0.0541256
+0.0528551
+0.0516462
+0.0505034
+0.0494314
+0.0484341
+0.0475013
+0.0466526
+0.0458928
+0.0452265
+0.0446578
+0.0441905
+0.0438278
+0.043572
+0.0434225
+0.0433697
+0.0434196
+0.0435797
+0.0438488
+0.0442223
+0.0446974
+0.0448264
+0.0441796
+0.0426947
+0.0412701
+0.039915
+0.0386366
+0.0373746
+0.035913
+0.0345278
+0.0332295
+0.0320285
+0.0309362
+0.029964
+0.0290982
+0.0283735
+0.027803
+0.0273963
+0.0271607
+0.0271003
+0.0271844
+0.0274422
+0.0278704
+0.0284612
+0.029036
+0.0291438
+0.029126
+0.0292725
+0.0295811
+0.0300464
+0.0306307
+0.0306845
+0.030789
+0.0310346
+0.0314151
+0.0319334
+0.0325894
+0.0333702
+0.0342618
+0.0352671
+0.0363767
+0.0375813
+0.0388722
+0.0402409
+0.04167
+0.0431602
+0.0447081
+0.046308
+0.0478723
+0.04873
+0.0487018
+0.0487721
+0.0489151
+0.0491051
+0.0493916
+0.049773
+0.0502471
+0.0508113
+0.0761412
+0.075677
+0.0752737
+0.0749105
+0.0746069
+0.0743666
+0.0741903
+0.0740784
+0.0740311
+0.0732863
+0.0720159
+0.070782
+0.0695937
+0.0684549
+0.0673681
+0.0659188
+0.0643598
+0.0628384
+0.0613575
+0.0599201
+0.0585295
+0.0571889
+0.0559021
+0.0546729
+0.0535051
+0.0524029
+0.0513705
+0.0504041
+0.0495082
+0.0486945
+0.047967
+0.0473299
+0.0467868
+0.046341
+0.0459953
+0.0457516
+0.0456093
+0.045558
+0.0456055
+0.045758
+0.0460143
+0.0463713
+0.0467731
+0.0466658
+0.045156
+0.0437018
+0.0423112
+0.0409905
+0.0397467
+0.0383036
+0.0368789
+0.0355314
+0.034271
+0.0331078
+0.0320523
+0.0310942
+0.0302589
+0.0295627
+0.0290156
+0.0286261
+0.0284008
+0.0283432
+0.0284239
+0.0286706
+0.0286702
+0.028178
+0.0278499
+0.0276699
+0.0276512
+0.0278055
+0.0281302
+0.0286182
+0.029231
+0.0293048
+0.0293826
+0.0296227
+0.0300211
+0.030563
+0.0312478
+0.0320617
+0.0329887
+0.0340316
+0.0351802
+0.0364244
+0.0377548
+0.0391627
+0.0406294
+0.0421564
+0.0437399
+0.0453739
+0.0469495
+0.0483753
+0.0493503
+0.049362
+0.0494534
+0.0496413
+0.0499227
+0.0502816
+0.0507327
+0.0512734
+0.077219
+0.0767613
+0.0763638
+0.0760273
+0.0757434
+0.0755067
+0.0753331
+0.0752228
+0.0751763
+0.075058
+0.0738128
+0.072608
+0.0714501
+0.0703414
+0.069015
+0.0674563
+0.0659336
+0.0644494
+0.0630064
+0.0616075
+0.0602558
+0.0589545
+0.0577071
+0.0565171
+0.0553882
+0.0543242
+0.0533286
+0.0523914
+0.0515301
+0.0507488
+0.0500512
+0.049441
+0.0489213
+0.0484951
+0.0481649
+0.0479322
+0.0477963
+0.0477466
+0.0477919
+0.0479374
+0.0481822
+0.0485241
+0.0486856
+0.0476897
+0.0462134
+0.0447935
+0.0434378
+0.0421524
+0.0407878
+0.0393328
+0.0379467
+0.0366385
+0.0354176
+0.0342933
+0.0332594
+0.0323318
+0.0315294
+0.0308618
+0.0303382
+0.0299659
+0.0297506
+0.0296958
+0.028839
+0.0280144
+0.027338
+0.0268215
+0.0264767
+0.0262939
+0.0262741
+0.0264364
+0.0267776
+0.027285
+0.0279333
+0.0279773
+0.0280588
+0.0283101
+0.0287267
+0.0292926
+0.0300064
+0.0308531
+0.0318153
+0.0328954
+0.0340823
+0.0353651
+0.0367326
+0.0381692
+0.0396749
+0.041242
+0.0428618
+0.0445281
+0.0461124
+0.0475633
+0.0490692
+0.0498156
+0.0499061
+0.0500923
+0.0503732
+0.0507418
+0.0511888
+0.0517247
+0.0783433
+0.0778923
+0.0775005
+0.07716
+0.0768653
+0.0766322
+0.076461
+0.0763524
+0.0763066
+0.0763236
+0.0756291
+0.0744537
+0.073325
+0.0721113
+0.070553
+0.0690291
+0.0675418
+0.0660938
+0.0646874
+0.0633257
+0.0620115
+0.0607478
+0.059538
+0.0583853
+0.0572932
+0.0562653
+0.0552978
+0.0543943
+0.0535652
+0.052814
+0.0521441
+0.0515586
+0.0510605
+0.0506523
+0.0503363
+0.0501137
+0.0499838
+0.0499353
+0.0499787
+0.0501178
+0.050352
+0.0506799
+0.0502861
+0.0487905
+0.0473486
+0.0459638
+0.0446436
+0.0433511
+0.0418706
+0.0404546
+0.0391083
+0.0378403
+0.0366594
+0.035563
+0.0345584
+0.0336666
+0.0328968
+0.0320797
+0.0311918
+0.0304359
+0.0297578
+0.0286532
+0.0276631
+0.0268023
+0.0260963
+0.0255547
+0.0251925
+0.0250066
+0.0249858
+0.0251564
+0.0255147
+0.0260389
+0.0267282
+0.0267497
+0.0268349
+0.0270975
+0.0275325
+0.0281318
+0.0288738
+0.0297388
+0.0307358
+0.0318526
+0.0330769
+0.0343943
+0.0357908
+0.0372638
+0.0388046
+0.0404055
+0.0420596
+0.0437608
+0.0453658
+0.0468398
+0.0483682
+0.0499443
+0.0504465
+0.0506307
+0.0509086
+0.0512776
+0.0517201
+0.0522506
+0.0795082
+0.0790604
+0.0786627
+0.0783228
+0.0780324
+0.0778028
+0.0776342
+0.0775273
+0.0774821
+0.0774989
+0.0774648
+0.0763177
+0.0752078
+0.0736499
+0.0721248
+0.0706348
+0.0691821
+0.067769
+0.0663982
+0.0650723
+0.0637941
+0.0625664
+0.0613924
+0.0602752
+0.059218
+0.0582237
+0.0572829
+0.0564112
+0.0556122
+0.054889
+0.0542447
+0.0536822
+0.053204
+0.0528123
+0.0525093
+0.052296
+0.0521715
+0.0521243
+0.0521658
+0.0522991
+0.0525236
+0.0526973
+0.0514247
+0.0499632
+0.0485561
+0.0472067
+0.0458113
+0.0444302
+0.0430377
+0.0416614
+0.0403519
+0.0388169
+0.0373473
+0.0359513
+0.0346376
+0.0334113
+0.0322722
+0.0312407
+0.0303282
+0.0295502
+0.0287868
+0.0276434
+0.0266158
+0.02572
+0.0249847
+0.024419
+0.0240398
+0.0238513
+0.0238294
+0.0240083
+0.0243805
+0.0249235
+0.0256427
+0.0256289
+0.0257179
+0.0259918
+0.0264449
+0.0270684
+0.0278386
+0.0287348
+0.0297655
+0.0309174
+0.0321773
+0.03353
+0.0349611
+0.0364676
+0.0380407
+0.0396724
+0.0413558
+0.0430849
+0.0447111
+0.0462036
+0.0477444
+0.0493344
+0.0509689
+0.0512571
+0.0515317
+0.0518963
+0.0523335
+0.0528578
+0.0807048
+0.0802554
+0.0798636
+0.0795288
+0.0792429
+0.0790168
+0.0788508
+0.0787455
+0.0787011
+0.0787176
+0.078795
+0.0781986
+0.0767468
+0.0752207
+0.0737282
+0.0722712
+0.0708521
+0.069473
+0.0681365
+0.066845
+0.0656013
+0.0644082
+0.0632684
+0.0621849
+0.0611607
+0.0601924
+0.0592825
+0.0584406
+0.0576697
+0.0569727
+0.0563522
+0.0558109
+0.0553511
+0.0549748
+0.0546837
+0.0544789
+0.0543594
+0.0543133
+0.0543532
+0.0544812
+0.0546966
+0.0539349
+0.0524329
+0.0509808
+0.049583
+0.0482394
+0.0465277
+0.0447762
+0.043065
+0.0413989
+0.0397838
+0.0382259
+0.0367328
+0.0353124
+0.0339741
+0.0327167
+0.0315442
+0.0304842
+0.0295489
+0.0287504
+0.027951
+0.0267713
+0.0257129
+0.0247845
+0.0240203
+0.0234323
+0.0230368
+0.0228454
+0.0228253
+0.0230119
+0.0233915
+0.0239569
+0.0247043
+0.0246523
+0.0247448
+0.0250293
+0.0254996
+0.0261393
+0.0269257
+0.0278626
+0.0289289
+0.0301128
+0.031405
+0.0327896
+0.0342516
+0.035788
+0.0373897
+0.0390486
+0.0407578
+0.0425112
+0.0441376
+0.0456488
+0.0472077
+0.0488152
+0.0504665
+0.0519684
+0.0522393
+0.0525989
+0.0530303
+0.0535479
+0.0819344
+0.0814918
+0.0811059
+0.0807763
+0.0804949
+0.0802722
+0.0801089
+0.0800052
+0.0799615
+0.0799777
+0.080054
+0.0798438
+0.0783168
+0.076822
+0.0753611
+0.0739364
+0.0725498
+0.0712036
+0.0699002
+0.0686419
+0.0674314
+0.0662712
+0.065164
+0.0641125
+0.0631194
+0.0621756
+0.0612951
+0.0604813
+0.0597367
+0.0590641
+0.0584658
+0.0579443
+0.0575015
+0.0571393
+0.0568593
+0.0566624
+0.0565475
+0.0565025
+0.0565408
+0.0566639
+0.0564402
+0.0549193
+0.053445
+0.0516357
+0.0497748
+0.0479418
+0.04614
+0.0443732
+0.0426458
+0.0409627
+0.0393296
+0.0377531
+0.0362404
+0.0348
+0.0334326
+0.0321371
+0.0309426
+0.0298613
+0.0289058
+0.028089
+0.0272351
+0.026023
+0.0249445
+0.0239831
+0.0231864
+0.022575
+0.0221642
+0.0219651
+0.0219481
+0.0221422
+0.0225484
+0.023155
+0.0239221
+0.0238175
+0.0239131
+0.0242075
+0.0246934
+0.0253358
+0.0261464
+0.0271103
+0.0282062
+0.0294191
+0.0307405
+0.032157
+0.0336566
+0.0352286
+0.0368576
+0.0385394
+0.0402702
+0.042044
+0.0436665
+0.0451935
+0.0467676
+0.0483897
+0.0500551
+0.0517596
+0.0530279
+0.0533823
+0.0538074
+0.0543176
+0.0832035
+0.0827677
+0.0823878
+0.0820633
+0.0817863
+0.0815672
+0.0814065
+0.0813045
+0.0812614
+0.0812774
+0.0813524
+0.0814131
+0.0799161
+0.0784517
+0.0770218
+0.0756283
+0.0742733
+0.072959
+0.0716875
+0.0704611
+0.0692824
+0.0681537
+0.0670776
+0.0660566
+0.0650875
+0.0641723
+0.0633196
+0.0625321
+0.0618123
+0.0611625
+0.0605849
+0.0600818
+0.0596549
+0.0593058
+0.0590361
+0.0588465
+0.0587359
+0.0586918
+0.0587287
+0.0588472
+0.0571167
+0.0551817
+0.0532664
+0.0513731
+0.0495044
+0.0476632
+0.0458522
+0.0440739
+0.0423344
+0.0406385
+0.0389919
+0.0374013
+0.0358739
+0.0344135
+0.0330113
+0.0316985
+0.0304869
+0.0293888
+0.0284174
+0.0275862
+0.0266804
+0.0254419
+0.0243376
+0.0233512
+0.0225322
+0.0219026
+0.0214789
+0.0212734
+0.0212559
+0.0214562
+0.0218751
+0.0225005
+0.0232495
+0.0231411
+0.0232395
+0.0235423
+0.0240417
+0.024701
+0.0255303
+0.0265046
+0.0276187
+0.0288564
+0.0302024
+0.0316429
+0.0331655
+0.0347565
+0.0364098
+0.0381173
+0.0398721
+0.0416682
+0.0433013
+0.0448407
+0.0464268
+0.0480603
+0.0497368
+0.0514519
+0.0532019
+0.0541856
+0.0545704
+0.0550398
+0.084407
+0.0840813
+0.0837074
+0.0833818
+0.0831091
+0.0828935
+0.0827353
+0.0826349
+0.0825925
+0.0826082
+0.082682
+0.0828137
+0.0815428
+0.0801082
+0.0787084
+0.0773453
+0.0760209
+0.0747373
+0.0734965
+0.0723009
+0.0711526
+0.0700541
+0.0690076
+0.0680154
+0.0670691
+0.0661812
+0.0653548
+0.0645921
+0.0638955
+0.0632671
+0.0627089
+0.0622229
+0.0618108
+0.061474
+0.0612139
+0.061031
+0.0609243
+0.0608812
+0.0608874
+0.0589133
+0.056955
+0.0550142
+0.0530929
+0.0511932
+0.0493177
+0.0474692
+0.0456505
+0.0438641
+0.0421159
+0.0404108
+0.0387546
+0.0371538
+0.0356158
+0.0341451
+0.0327314
+0.031407
+0.0301837
+0.0290741
+0.0280919
+0.0272507
+0.026297
+0.0250395
+0.0239167
+0.0229122
+0.0220769
+0.0214339
+0.0210007
+0.0207906
+0.0207726
+0.0209775
+0.0214059
+0.0220446
+0.0227666
+0.0226558
+0.0227564
+0.0230655
+0.0235644
+0.0242236
+0.0250577
+0.0260497
+0.0271824
+0.0284391
+0.0298039
+0.0312629
+0.0328014
+0.0344092
+0.0360784
+0.0378009
+0.0395697
+0.041379
+0.0430446
+0.0445929
+0.0461874
+0.0478292
+0.0495135
+0.0512361
+0.0529932
+0.0547816
+0.0552813
+0.0557446
+0.0854804
+0.085198
+0.0849712
+0.0847317
+0.0844634
+0.0842512
+0.0840956
+0.0839968
+0.0839552
+0.0839706
+0.0840432
+0.0841727
+0.0831954
+0.0817898
+0.0804192
+0.0790857
+0.0777909
+0.076537
+0.0753259
+0.0741598
+0.0730407
+0.071971
+0.0709528
+0.0699831
+0.0690633
+0.0682014
+0.0673997
+0.0666605
+0.0659857
+0.0653773
+0.0648374
+0.0643675
+0.0639692
+0.0636438
+0.0633925
+0.063216
+0.0631124
+0.0628054
+0.0608146
+0.0588381
+0.0568772
+0.0549337
+0.0530094
+0.0511067
+0.0492279
+0.0473758
+0.0455534
+0.0437631
+0.0420106
+0.0403011
+0.0386402
+0.0370345
+0.0354913
+0.0340043
+0.032588
+0.0312612
+0.0300356
+0.0289213
+0.0279333
+0.0270868
+0.0260925
+0.0248247
+0.0236917
+0.0226772
+0.021833
+0.0211825
+0.0207441
+0.0205313
+0.0205065
+0.020714
+0.0211477
+0.021794
+0.0224484
+0.0223361
+0.0224381
+0.0227515
+0.0232564
+0.0239241
+0.0247682
+0.0257714
+0.0269158
+0.0281843
+0.029561
+0.0310313
+0.0325808
+0.0341989
+0.0358779
+0.0376096
+0.0393871
+0.0412043
+0.0428984
+0.0444518
+0.0460512
+0.0476977
+0.0493864
+0.0511133
+0.0528745
+0.0546668
+0.0560687
+0.0565257
+0.0865959
+0.0863172
+0.0860933
+0.0859248
+0.0858054
+0.0856435
+0.0854904
+0.0853933
+0.0853523
+0.0853675
+0.0854389
+0.0855663
+0.0848724
+0.083495
+0.0821529
+0.080848
+0.0795819
+0.0783566
+0.0771741
+0.0760363
+0.0749453
+0.0739031
+0.0729118
+0.0719633
+0.071069
+0.0702318
+0.0694536
+0.0687364
+0.0680822
+0.0674927
+0.0669698
+0.066515
+0.0661296
+0.0658149
+0.065572
+0.0654013
+0.0648148
+0.0628113
+0.0608207
+0.0588444
+0.0568837
+0.0549404
+0.0530165
+0.0511139
+0.0492354
+0.0473837
+0.0455616
+0.0437716
+0.0420195
+0.0403104
+0.0386498
+0.0370445
+0.0354836
+0.0339879
+0.0325709
+0.0312434
+0.0300172
+0.0289026
+0.0279138
+0.0270665
+0.0260682
+0.0247972
+0.0236356
+0.0226156
+0.0217689
+0.0211165
+0.0206767
+0.0204595
+0.020434
+0.0206423
+0.0210774
+0.0217258
+0.0223407
+0.0222278
+0.0223303
+0.0226452
+0.0231524
+0.023823
+0.0246706
+0.0256776
+0.026826
+0.0280986
+0.0294792
+0.0309535
+0.0325066
+0.0341283
+0.0358106
+0.0375454
+0.0393258
+0.0411457
+0.0428624
+0.0444121
+0.0460126
+0.0476601
+0.0493499
+0.0510777
+0.0528399
+0.0546331
+0.0564544
+0.0573797
+0.0877428
+0.0874677
+0.0872468
+0.0870805
+0.0869631
+0.0868961
+0.0868842
+0.0868225
+0.0867822
+0.0867971
+0.0868673
+0.0869927
+0.0865723
+0.0852224
+0.083908
+0.0826307
+0.0813924
+0.0801948
+0.0790398
+0.0779292
+0.0768651
+0.0758493
+0.0748791
+0.0739553
+0.0730854
+0.0722715
+0.0715155
+0.0708192
+0.0701844
+0.0696128
+0.0691059
+0.0686652
+0.068292
+0.0679873
+0.0677522
+0.0669069
+0.0648929
+0.0628909
+0.0609018
+0.058927
+0.0569679
+0.0550264
+0.0531043
+0.0512037
+0.0493272
+0.0474776
+0.0456582
+0.0438728
+0.0421256
+0.0404217
+0.0387667
+0.0371628
+0.0356029
+0.0341124
+0.0327009
+0.0313789
+0.0301582
+0.029049
+0.0280653
+0.0272228
+0.026195
+0.0249306
+0.0237754
+0.0227617
+0.0219207
+0.0212729
+0.0208364
+0.0206209
+0.0205956
+0.0208023
+0.0212341
+0.0218779
+0.0224308
+0.0223184
+0.0224204
+0.0227341
+0.0232509
+0.023923
+0.0247671
+0.0257703
+0.0269148
+0.0281834
+0.0295601
+0.0310305
+0.03258
+0.0341982
+0.0358772
+0.0376089
+0.0393864
+0.0412037
+0.0429181
+0.0444658
+0.0460645
+0.0477102
+0.0493982
+0.0511244
+0.0528851
+0.0546768
+0.0564966
+0.0583036
+0.0889275
+0.0886561
+0.0884382
+0.0882741
+0.0881602
+0.088094
+0.0880823
+0.0881251
+0.0882222
+0.088258
+0.0883271
+0.0884504
+0.0882939
+0.0869707
+0.0856831
+0.0844327
+0.0832212
+0.0820503
+0.0809218
+0.0798374
+0.078799
+0.0778085
+0.076858
+0.0759582
+0.0751116
+0.0743199
+0.0735849
+0.0729084
+0.0722919
+0.0717371
+0.0712453
+0.0708179
+0.0704561
+0.0701609
+0.0690625
+0.0670418
+0.0650321
+0.0630344
+0.06105
+0.0590801
+0.0571264
+0.0551904
+0.0532742
+0.0513799
+0.04951
+0.0476675
+0.0458557
+0.0440783
+0.0423396
+0.0406446
+0.0389991
+0.0374053
+0.035856
+0.0343765
+0.0329762
+0.0316657
+0.0304547
+0.0293549
+0.0283819
+0.027549
+0.026503
+0.025254
+0.0241143
+0.0231155
+0.0222878
+0.021651
+0.0212223
+0.0210107
+0.0209859
+0.0211888
+0.0216129
+0.0222457
+0.022708
+0.022597
+0.0226978
+0.0230077
+0.0235169
+0.0241774
+0.025013
+0.0260067
+0.0271413
+0.0283997
+0.0297664
+0.0312271
+0.0327692
+0.0343818
+0.0360555
+0.0377821
+0.0395546
+0.0413673
+0.0430852
+0.0446271
+0.0462202
+0.0478606
+0.0495435
+0.0512648
+0.0530208
+0.054808
+0.0566237
+0.058465
+0.0901499
+0.0898822
+0.0896672
+0.0895054
+0.0893948
+0.0893296
+0.089318
+0.0893602
+0.089456
+0.0896053
+0.0898078
+0.0899378
+0.0900359
+0.0887387
+0.0874771
+0.0862527
+0.0850671
+0.0839219
+0.0828189
+0.0817597
+0.0807461
+0.0797754
+0.0788481
+0.0779712
+0.0771467
+0.0763761
+0.0756611
+0.0750033
+0.0744042
+0.0738652
+0.0733878
+0.0729729
+0.0726218
+0.0712877
+0.0692626
+0.0672478
+0.0652445
+0.0632535
+0.0612762
+0.0593138
+0.057368
+0.0554405
+0.0535332
+0.0516484
+0.0497887
+0.0479569
+0.0461564
+0.044391
+0.0426651
+0.0409836
+0.0393522
+0.0377735
+0.0362399
+0.034774
+0.0333864
+0.0320886
+0.0308917
+0.0298081
+0.0288503
+0.0280313
+0.0269858
+0.0257602
+0.024644
+0.0236675
+0.0228599
+0.0222395
+0.0218223
+0.0216166
+0.0215925
+0.0217897
+0.0222024
+0.0228188
+0.0231898
+0.023081
+0.0231797
+0.0234833
+0.0239716
+0.0246199
+0.0254409
+0.0264186
+0.0275361
+0.0287773
+0.0301269
+0.0315709
+0.033097
+0.0346944
+0.0363537
+0.0380667
+0.0398266
+0.0416274
+0.0433625
+0.0448948
+0.0464788
+0.0481103
+0.0497848
+0.0514981
+0.0532463
+0.0550263
+0.0568349
+0.0586696
+0.0914085
+0.0911444
+0.0909325
+0.0907729
+0.0906655
+0.0906013
+0.0905899
+0.0906315
+0.090726
+0.0908732
+0.0910728
+0.0913247
+0.0916249
+0.0905251
+0.0892887
+0.0880895
+0.086929
+0.0858087
+0.0847303
+0.0836952
+0.0827053
+0.0817532
+0.0808485
+0.0799936
+0.0791901
+0.0784396
+0.0777436
+0.0771036
+0.0765209
+0.075997
+0.075533
+0.07513
+0.073576
+0.0715486
+0.0695311
+0.0675244
+0.0655295
+0.0635474
+0.0615795
+0.0596272
+0.057692
+0.0557756
+0.0538802
+0.052008
+0.0501616
+0.0483439
+0.0465584
+0.0448089
+0.0430991
+0.0414346
+0.039821
+0.0382568
+0.0367397
+0.0352936
+0.0339273
+0.032651
+0.0314755
+0.0304126
+0.0294745
+0.0286734
+0.0276344
+0.0264389
+0.0253526
+0.0244045
+0.023622
+0.0230222
+0.0226194
+0.022421
+0.0223978
+0.022588
+0.0229863
+0.0235823
+0.0238637
+0.023758
+0.0238539
+0.024149
+0.0246135
+0.0252454
+0.0260467
+0.0270024
+0.0280967
+0.0293142
+0.0306401
+0.032061
+0.0335649
+0.035141
+0.0367801
+0.0384742
+0.0402162
+0.0420003
+0.0437478
+0.0452672
+0.0468385
+0.0484579
+0.0501208
+0.0518229
+0.0535606
+0.0553304
+0.0571295
+0.058955
+0.0927017
+0.0924414
+0.0922324
+0.092075
+0.0919696
+0.0919076
+0.0918964
+0.0919374
+0.0920305
+0.0921757
+0.0923725
+0.0926208
+0.0929201
+0.0923289
+0.0911171
+0.0899422
+0.0888059
+0.0877096
+0.0866548
+0.0856431
+0.084672
+0.0837415
+0.0828586
+0.0820247
+0.0812413
+0.0805099
+0.0798319
+0.0792088
+0.0786417
+0.078132
+0.0776807
+0.0759218
+0.0738938
+0.0718754
+0.0698673
+0.0678705
+0.0658861
+0.0639151
+0.0619589
+0.0600189
+0.0580962
+0.0561932
+0.0543118
+0.0524545
+0.0506238
+0.0488228
+0.0470548
+0.0453238
+0.0436341
+0.0419907
+0.0403994
+0.0388534
+0.0373606
+0.0359394
+0.0345987
+0.033348
+0.032198
+0.0311598
+0.0302448
+0.0294647
+0.0284374
+0.0272771
+0.0262255
+0.0253101
+0.0245565
+0.0239801
+0.0235937
+0.0234036
+0.0233813
+0.0235635
+0.0239457
+0.0245183
+0.024684
+0.0245818
+0.0246745
+0.0249599
+0.0254284
+0.0260406
+0.0268182
+0.0277474
+0.0288134
+0.0300018
+0.0312986
+0.0326909
+0.0341671
+0.0357166
+0.0373305
+0.0390006
+0.0407202
+0.0424831
+0.0442385
+0.0457415
+0.047297
+0.0489013
+0.0505496
+0.0522378
+0.0539621
+0.0557192
+0.057506
+0.05932
+0.0940282
+0.0937715
+0.0935655
+0.0934104
+0.0933065
+0.093246
+0.0932349
+0.0932753
+0.0933671
+0.0935102
+0.0937042
+0.093949
+0.094244
+0.0941492
+0.092961
+0.0918098
+0.0906969
+0.0896237
+0.0885917
+0.0876023
+0.0866487
+0.0857398
+0.0848776
+0.0840637
+0.0832995
+0.0825863
+0.0819255
+0.0813184
+0.0807662
+0.08027
+0.0783199
+0.0762927
+0.0742744
+0.0722662
+0.0702689
+0.0682835
+0.066311
+0.0643526
+0.0624096
+0.0604836
+0.0585762
+0.0566892
+0.0548249
+0.0529855
+0.0511739
+0.0493929
+0.0476461
+0.0459374
+0.0442711
+0.0426517
+0.0410788
+0.0395576
+0.0380924
+0.0366996
+0.0353877
+0.0341659
+0.0330444
+0.0320336
+0.0311443
+0.0303873
+0.0293821
+0.0282603
+0.0272401
+0.0263585
+0.0256344
+0.0250812
+0.0247105
+0.0245294
+0.0245081
+0.0246821
+0.0250471
+0.0255897
+0.0256627
+0.0255645
+0.0256536
+0.0259282
+0.0263825
+0.0269907
+0.0277417
+0.0286409
+0.0296749
+0.0308301
+0.0320935
+0.0334527
+0.0348966
+0.0364151
+0.0379993
+0.0396413
+0.0413342
+0.043072
+0.0448308
+0.0463146
+0.0478516
+0.0494378
+0.0510688
+0.0527404
+0.0544488
+0.0561906
+0.057963
+0.059763
+0.0953865
+0.0951336
+0.0949305
+0.0947776
+0.0946752
+0.0946156
+0.0946047
+0.0946445
+0.094735
+0.094876
+0.0950672
+0.0953085
+0.0955993
+0.0959394
+0.0948198
+0.0936914
+0.0926011
+0.0915502
+0.0905402
+0.0895687
+0.0886356
+0.0877472
+0.0869049
+0.0861102
+0.0853643
+0.0846685
+0.0840241
+0.0834323
+0.0827946
+0.0807634
+0.0787379
+0.0767214
+0.0747147
+0.0727187
+0.0707341
+0.0687621
+0.0668037
+0.0648602
+0.0629329
+0.0610234
+0.0591334
+0.0572649
+0.0554199
+0.053601
+0.0518108
+0.0500525
+0.0483296
+0.0466437
+0.0449969
+0.0433982
+0.0418532
+0.0403612
+0.0389263
+0.0375644
+0.0362837
+0.0350932
+0.0340022
+0.0330208
+0.0321588
+0.0314262
+0.0304549
+0.0293469
+0.0283618
+0.0275162
+0.0268233
+0.0262952
+0.0259419
+0.0257686
+0.0257484
+0.025914
+0.026262
+0.0267805
+0.0267852
+0.0266911
+0.0267766
+0.0270398
+0.0274756
+0.0280762
+0.0288025
+0.0296696
+0.0306689
+0.031788
+0.0330147
+0.0343375
+0.0357457
+0.0372296
+0.0387806
+0.0403908
+0.0420536
+0.0437628
+0.0455134
+0.0469831
+0.0484988
+0.0500646
+0.0516758
+0.0533283
+0.0550185
+0.0567429
+0.0584985
+0.0602825
+0.0967754
+0.0965261
+0.096326
+0.0961753
+0.0960744
+0.0960156
+0.0960049
+0.0960441
+0.0961333
+0.0962722
+0.0964607
+0.0966985
+0.0969852
+0.0973204
+0.0966924
+0.0955862
+0.0945177
+0.0934884
+0.0924995
+0.0915446
+0.0906318
+0.0897632
+0.08894
+0.0881637
+0.0874353
+0.0867561
+0.0861273
+0.085277
+0.0832502
+0.0812276
+0.0792139
+0.0772099
+0.0752162
+0.0732339
+0.0712637
+0.0693067
+0.0673642
+0.0654373
+0.0635275
+0.0616365
+0.0597659
+0.0579177
+0.0560942
+0.0542979
+0.0525315
+0.0507945
+0.0490914
+0.0474284
+0.0458098
+0.0442405
+0.0427259
+0.0412655
+0.0398632
+0.0385344
+0.0372871
+0.0361296
+0.0350709
+0.0341202
+0.0332868
+0.0325795
+0.0316174
+0.0305485
+0.0296034
+0.0287943
+0.0281329
+0.0276298
+0.0272938
+0.0271285
+0.0271092
+0.0272666
+0.0275975
+0.0280919
+0.0280343
+0.0279444
+0.028026
+0.0282776
+0.0286947
+0.0292702
+0.0299861
+0.0308199
+0.0317831
+0.0328643
+0.0340522
+0.0353362
+0.0367061
+0.0381527
+0.0396676
+0.0412432
+0.0428729
+0.0445507
+0.0462714
+0.0477427
+0.0492351
+0.0507782
+0.0523674
+0.0539988
+0.0556686
+0.0573734
+0.0591103
+0.0608765
+0.0981936
+0.0979478
+0.0977506
+0.0976022
+0.0975027
+0.0974448
+0.0974342
+0.0974729
+0.0975607
+0.0976976
+0.0978834
+0.0981177
+0.0984003
+0.0987307
+0.0985782
+0.0974933
+0.096446
+0.0954375
+0.0944657
+0.0935301
+0.0926368
+0.0917872
+0.0909823
+0.0902235
+0.0895119
+0.0888486
+0.0877984
+0.0857755
+0.0837579
+0.0817479
+0.0797473
+0.077757
+0.0757778
+0.0738105
+0.0718561
+0.0699158
+0.0679906
+0.066082
+0.0641914
+0.0623205
+0.0604711
+0.0586451
+0.0568449
+0.0550683
+0.0533217
+0.0516091
+0.0499338
+0.0482998
+0.0467114
+0.0451734
+0.0436912
+0.0422642
+0.0408961
+0.039602
+0.0383893
+0.0372661
+0.0362407
+0.0353215
+0.034517
+0.0338355
+0.032882
+0.0318556
+0.0309505
+0.0301775
+0.0295471
+0.0290684
+0.0287492
+0.0285916
+0.0285734
+0.0287227
+0.029037
+0.0295079
+0.0293915
+0.0293058
+0.0293836
+0.0296236
+0.030022
+0.0305726
+0.0312673
+0.0320787
+0.0330052
+0.0340476
+0.0351957
+0.0364394
+0.0377693
+0.0391766
+0.0406533
+0.0421922
+0.0437866
+0.0454307
+0.0471193
+0.0485894
+0.0500565
+0.051575
+0.0531404
+0.0547488
+0.0563964
+0.0580799
+0.0597962
+0.0615427
+0.0996397
+0.0993975
+0.0992032
+0.0990569
+0.0989589
+0.0989019
+0.0988914
+0.0989295
+0.0990161
+0.099151
+0.099334
+0.099565
+0.0998434
+0.100169
+0.100476
+0.0994122
+0.0983853
+0.0973968
+0.0964408
+0.0955245
+0.0946501
+0.0938186
+0.0930314
+0.0922894
+0.0915939
+0.0903558
+0.088337
+0.0863253
+0.0843195
+0.0823232
+0.080337
+0.0783616
+0.0763981
+0.0744472
+0.07251
+0.0705876
+0.0686813
+0.0667924
+0.0649225
+0.0630733
+0.0612458
+0.0594386
+0.0576579
+0.0559064
+0.0541869
+0.0525025
+0.0508567
+0.0492533
+0.0476967
+0.0461915
+0.044743
+0.0433506
+0.0420179
+0.0407594
+0.0395823
+0.0384939
+0.037502
+0.0366145
+0.0358391
+0.0351832
+0.0342402
+0.0332558
+0.0323898
+0.031652
+0.0310515
+0.0305964
+0.0302933
+0.0301431
+0.0301258
+0.0302675
+0.0305659
+0.0310141
+0.0308432
+0.0307616
+0.0308357
+0.0310645
+0.0314447
+0.0319707
+0.0326357
+0.0334312
+0.0343238
+0.0353273
+0.036435
+0.0376378
+0.0389268
+0.0402937
+0.041731
+0.0432315
+0.0447889
+0.0463975
+0.0480521
+0.0495185
+0.0509589
+0.0524513
+0.0539913
+0.0555751
+0.0571989
+0.0588594
+0.0605537
+0.0622789
+0.101113
+0.100874
+0.100682
+0.100538
+0.100442
+0.100386
+0.100375
+0.100413
+0.100498
+0.100631
+0.100811
+0.101039
+0.101313
+0.101634
+0.102001
+0.101342
+0.100335
+0.0993628
+0.098425
+0.0975274
+0.096671
+0.0958572
+0.0950868
+0.094361
+0.092946
+0.090932
+0.0889264
+0.0869255
+0.0849339
+0.0829524
+0.0809816
+0.0790224
+0.0770756
+0.0751423
+0.0732235
+0.0713204
+0.0694342
+0.0675664
+0.0657165
+0.0638855
+0.0620778
+0.0602956
+0.058541
+0.0568168
+0.0551256
+0.0534708
+0.0518557
+0.0502842
+0.0487605
+0.0472892
+0.0458754
+0.0445184
+0.0432217
+0.0419993
+0.0408579
+0.0398044
+0.038846
+0.0379899
+0.0372432
+0.0366124
+0.0356813
+0.0347377
+0.0339096
+0.0332056
+0.0326337
+0.032201
+0.0319131
+0.03177
+0.0317536
+0.031888
+0.0321714
+0.0325899
+0.0323782
+0.0323004
+0.032371
+0.0325891
+0.0329517
+0.033454
+0.0340901
+0.0348524
+0.0357246
+0.0366899
+0.0377577
+0.0389196
+0.0401675
+0.0414935
+0.0428906
+0.0443518
+0.0458712
+0.0474431
+0.0490625
+0.0505256
+0.0519381
+0.0534031
+0.0549165
+0.0564743
+0.0580729
+0.0597092
+0.06138
+0.0630826
+0.102611
+0.102376
+0.102187
+0.102045
+0.10195
+0.101895
+0.101885
+0.101922
+0.102006
+0.102137
+0.102314
+0.102539
+0.102809
+0.103125
+0.103487
+0.103282
+0.102294
+0.101337
+0.100418
+0.0995381
+0.0986992
+0.0979022
+0.0971481
+0.0955665
+0.0935576
+0.091557
+0.0895629
+0.0875764
+0.0856
+0.0836342
+0.0816799
+0.0797378
+0.077809
+0.0758944
+0.0739951
+0.0721123
+0.0702443
+0.0683942
+0.0665648
+0.0647578
+0.0629752
+0.061219
+0.0594917
+0.0577958
+0.0561342
+0.05451
+0.0529266
+0.0513879
+0.0498979
+0.0484611
+0.0470825
+0.0457613
+0.0445009
+0.0433146
+0.0422088
+0.0411899
+0.0402645
+0.0394391
+0.0387203
+0.0381141
+0.0371957
+0.0362915
+0.0354996
+0.0348278
+0.0342829
+0.0338713
+0.0335978
+0.0334613
+0.0334457
+0.0335733
+0.0338426
+0.0341869
+0.0339852
+0.0339111
+0.0339783
+0.0341861
+0.0345319
+0.0350116
+0.0356199
+0.0363501
+0.0371873
+0.0381155
+0.0391444
+0.0402663
+0.0414737
+0.0427593
+0.0441162
+0.0455382
+0.0470193
+0.048554
+0.0501376
+0.0516036
+0.0529898
+0.0544265
+0.0559122
+0.057443
+0.0590154
+0.0606262
+0.0622724
+0.0639513
+0.104134
+0.103902
+0.103717
+0.103577
+0.103483
+0.103428
+0.103418
+0.103455
+0.103538
+0.103667
+0.103842
+0.104063
+0.104329
+0.104641
+0.104997
+0.105232
+0.10426
+0.10332
+0.102419
+0.101556
+0.100367
+0.0991791
+0.0980256
+0.0962113
+0.0942162
+0.0922289
+0.090248
+0.088277
+0.0863165
+0.0843675
+0.0824305
+0.0805066
+0.0785966
+0.0767015
+0.0748188
+0.0729532
+0.0711061
+0.069279
+0.0674735
+0.0656916
+0.063935
+0.0622059
+0.0605068
+0.0588402
+0.0572089
+0.0556161
+0.0540651
+0.0525597
+0.0511039
+0.049702
+0.0483588
+0.0470734
+0.0458491
+0.0446986
+0.0436279
+0.0426429
+0.0417497
+0.0409543
+0.0402626
+0.0396799
+0.0387747
+0.0379082
+0.0371508
+0.0365094
+0.03599
+0.0355981
+0.035338
+0.0352076
+0.0351928
+0.0353142
+0.0355703
+0.0358467
+0.0356544
+0.0355837
+0.0356478
+0.035846
+0.0361759
+0.0366341
+0.0372158
+0.0379153
+0.0387186
+0.039611
+0.040602
+0.0416847
+0.0428522
+0.0440976
+0.0454146
+0.0467971
+0.0482395
+0.0497367
+0.0512837
+0.0527407
+0.054105
+0.0555176
+0.0569748
+0.0584778
+0.0600231
+0.0616075
+0.0632282
+0.0648824
+0.105681
+0.105452
+0.105269
+0.105131
+0.105039
+0.104985
+0.104975
+0.105011
+0.105093
+0.10522
+0.105393
+0.10561
+0.105873
+0.10618
+0.106531
+0.106926
+0.106168
+0.104862
+0.103587
+0.102342
+0.10113
+0.0999509
+0.0988064
+0.0969014
+0.0949207
+0.092946
+0.0909806
+0.0890259
+0.0870823
+0.0851508
+0.083232
+0.0813261
+0.079432
+0.0775536
+0.0756919
+0.0738483
+0.0720242
+0.070221
+0.0684404
+0.0666842
+0.0649545
+0.0632533
+0.0615831
+0.0599464
+0.0583461
+0.0567852
+0.055267
+0.0537953
+0.0523738
+0.0510068
+0.0496989
+0.0484491
+0.0472604
+0.0461451
+0.0451087
+0.0441568
+0.0432948
+0.0425284
+0.0418627
+0.0413025
+0.0404109
+0.0395802
+0.0388554
+0.0382426
+0.0377471
+0.0373736
+0.0371259
+0.0370013
+0.0369872
+0.0371027
+0.0373465
+0.037561
+0.0373774
+0.0373101
+0.0373712
+0.0375602
+0.0378752
+0.0383131
+0.0388697
+0.03954
+0.0403109
+0.0411688
+0.0421232
+0.0431678
+0.0442961
+0.045502
+0.0467795
+0.0481229
+0.0495267
+0.050986
+0.0524962
+0.0539428
+0.0552775
+0.0566654
+0.0581006
+0.0595752
+0.0610927
+0.0626501
+0.0642445
+0.0658732
+0.10725
+0.107025
+0.106844
+0.106708
+0.106617
+0.106565
+0.106555
+0.10659
+0.106671
+0.106796
+0.106966
+0.10718
+0.107439
+0.107742
+0.108088
+0.108258
+0.106934
+0.105638
+0.104372
+0.103137
+0.101934
+0.100764
+0.0996105
+0.0976357
+0.0956682
+0.0937088
+0.0917598
+0.089822
+0.087896
+0.0859809
+0.0840775
+0.0821884
+0.0803147
+0.0784574
+0.0766177
+0.0747969
+0.0729965
+0.0712179
+0.0694629
+0.0677333
+0.066031
+0.0643583
+0.0627175
+0.0611112
+0.0595422
+0.0580134
+0.0565283
+0.0550902
+0.0537031
+0.0523708
+0.0510978
+0.0498828
+0.048729
+0.0476482
+0.0466452
+0.0457252
+0.0448934
+0.0441547
+0.0435139
+0.0429753
+0.0420975
+0.0413007
+0.0406066
+0.0400206
+0.0395474
+0.0391911
+0.0389549
+0.0388357
+0.0388223
+0.0389323
+0.0391648
+0.0393225
+0.0391473
+0.039083
+0.0391413
+0.0393219
+0.0396229
+0.0400416
+0.0405745
+0.0412171
+0.0419572
+0.0427821
+0.0437013
+0.044709
+0.0457994
+0.0469667
+0.0482054
+0.0495101
+0.0508756
+0.0522973
+0.0537707
+0.0552058
+0.0565106
+0.057869
+0.0592772
+0.0607318
+0.0622211
+0.063751
+0.0653185
+0.066921
+0.10884
+0.108618
+0.108441
+0.108307
+0.108217
+0.108165
+0.108156
+0.10819
+0.108269
+0.108393
+0.10856
+0.108772
+0.109027
+0.109325
+0.109666
+0.109054
+0.107739
+0.106453
+0.105197
+0.103972
+0.102778
+0.101619
+0.100373
+0.0984127
+0.0964592
+0.0945162
+0.0925842
+0.0906613
+0.0887502
+0.0868523
+0.0849684
+0.0830996
+0.0812469
+0.0794114
+0.0775943
+0.075797
+0.0740209
+0.0722675
+0.0705386
+0.068836
+0.0671617
+0.0655179
+0.0639069
+0.0623312
+0.0607937
+0.0592973
+0.0578451
+0.0564406
+0.0550874
+0.0537895
+0.0525473
+0.05136
+0.0502402
+0.0491925
+0.0482216
+0.0473323
+0.0465293
+0.0458169
+0.0451997
+0.0446814
+0.0438287
+0.043064
+0.0423988
+0.0418378
+0.0413854
+0.0410451
+0.0408196
+0.0407054
+0.0406926
+0.0407976
+0.0410195
+0.0411244
+0.0409579
+0.0408964
+0.0409522
+0.0411247
+0.0414126
+0.0418135
+0.0423241
+0.0429405
+0.0436514
+0.0444448
+0.0453303
+0.0463026
+0.0473563
+0.0484862
+0.049687
+0.0509537
+0.0522816
+0.0536661
+0.0551029
+0.0565254
+0.0578004
+0.0591292
+0.0605081
+0.0619338
+0.0634032
+0.0649071
+0.0664474
+0.0680233
+0.110451
+0.110233
+0.110057
+0.109926
+0.109837
+0.109786
+0.109777
+0.109811
+0.109889
+0.11001
+0.110175
+0.110384
+0.110635
+0.110929
+0.11122
+0.109887
+0.108583
+0.107307
+0.106061
+0.104845
+0.103662
+0.102512
+0.101177
+0.0992302
+0.0972928
+0.0953637
+0.093446
+0.0915406
+0.0896482
+0.0877697
+0.0859059
+0.084058
+0.0822269
+0.0804138
+0.0786198
+0.0768465
+0.0750952
+0.0733676
+0.0716652
+0.06999
+0.068344
+0.0667293
+0.0651482
+0.0636033
+0.0620973
+0.060633
+0.0592136
+0.0578424
+0.0565228
+0.055257
+0.0540404
+0.0528866
+0.0517998
+0.0507844
+0.0498445
+0.0489847
+0.0482091
+0.047522
+0.0469272
+0.0464257
+0.0455994
+0.0448649
+0.0442268
+0.0436893
+0.0432563
+0.0429308
+0.0427153
+0.0426057
+0.0425934
+0.0426938
+0.0429058
+0.0429525
+0.0428035
+0.0427451
+0.0427985
+0.0429637
+0.0432393
+0.0436234
+0.044113
+0.0447048
+0.0453881
+0.0461516
+0.047005
+0.0479433
+0.0489617
+0.0500554
+0.0512194
+0.0524492
+0.0537401
+0.0550879
+0.0564886
+0.0578979
+0.0591433
+0.0604426
+0.0617922
+0.0631889
+0.0646297
+0.0661118
+0.0676284
+0.0691774
+0.09922
+0.0978655
+0.0965416
+0.0952482
+0.093988
+0.0927625
+0.0914676
+0.0901594
+0.0888789
+0.0876344
+0.0864276
+0.0852347
+0.0840383
+0.0828825
+0.0817691
+0.0806833
+0.0796024
+0.0785678
+0.0775369
+0.0765101
+0.0754998
+0.0745401
+0.0736331
+0.0727808
+0.0719328
+0.0711066
+0.0702633
+0.0694189
+0.0686251
+0.0678881
+0.0672018
+0.0662622
+0.0652209
+0.0642373
+0.0633087
+0.062435
+0.0616268
+0.0608645
+0.0601565
+0.0595207
+0.0589519
+0.0584593
+0.0580386
+0.0576886
+0.0574202
+0.0572343
+0.057132
+0.0571124
+0.0571618
+0.0572949
+0.0575112
+0.0577856
+0.0579942
+0.0570402
+0.0561554
+0.0553433
+0.0546071
+0.0539498
+0.0533744
+0.0526607
+0.0519706
+0.0513642
+0.050845
+0.0504158
+0.0500788
+0.0498359
+0.0496885
+0.0496374
+0.049683
+0.049825
+0.0500624
+0.0503914
+0.05031
+0.0502098
+0.0501628
+0.0501928
+0.050263
+0.0504284
+0.0506692
+0.0509489
+0.0509248
+0.0507906
+0.05075
+0.0507866
+0.0509173
+0.0511416
+0.0514582
+0.0518656
+0.0523615
+0.0529435
+0.0536087
+0.0543541
+0.0551766
+0.0560725
+0.0570386
+0.0580713
+0.0591672
+0.0603227
+0.0615345
+0.0627993
+0.0978599
+0.0964864
+0.0951434
+0.0938321
+0.0925527
+0.0913079
+0.0900992
+0.0887794
+0.0874854
+0.0862208
+0.0849939
+0.0838064
+0.082613
+0.081437
+0.0803035
+0.0792144
+0.078139
+0.0770847
+0.0760667
+0.0750439
+0.0740136
+0.0730344
+0.0721085
+0.0712379
+0.0704124
+0.0695785
+0.0687516
+0.0679131
+0.0671087
+0.0663489
+0.0656456
+0.0648428
+0.0637905
+0.0627845
+0.0618344
+0.0609396
+0.0601113
+0.0593295
+0.0586029
+0.0579501
+0.0573658
+0.0568594
+0.0564268
+0.0560668
+0.0557905
+0.0555992
+0.0554938
+0.0554737
+0.0555245
+0.0556616
+0.0558842
+0.0561666
+0.0560766
+0.0550894
+0.0541728
+0.0533305
+0.052566
+0.0518829
+0.0512843
+0.0506593
+0.0499441
+0.0493128
+0.0487718
+0.0483241
+0.0479725
+0.0477188
+0.0475649
+0.0475115
+0.0475591
+0.0477074
+0.0479554
+0.0482961
+0.0481401
+0.0480389
+0.0479898
+0.0480224
+0.0480958
+0.0482682
+0.048514
+0.048805
+0.0488129
+0.048673
+0.0486306
+0.0486688
+0.0488051
+0.0490391
+0.0493693
+0.0497937
+0.05031
+0.0509154
+0.0516068
+0.0523808
+0.0532337
+0.0541618
+0.0551614
+0.0562286
+0.0573596
+0.0585508
+0.0597985
+0.0610994
+0.0965304
+0.0951377
+0.0937754
+0.092445
+0.0911474
+0.0898832
+0.088655
+0.0874321
+0.0861188
+0.0848403
+0.0835931
+0.0823853
+0.0812176
+0.0800253
+0.0788715
+0.0777624
+0.0766998
+0.075636
+0.0746107
+0.0735937
+0.0725609
+0.0715619
+0.0706167
+0.0697275
+0.0688965
+0.068076
+0.067256
+0.0664455
+0.065625
+0.0648462
+0.0641264
+0.0634652
+0.062393
+0.0613755
+0.0604036
+0.0594872
+0.0586385
+0.0578368
+0.0570912
+0.0564209
+0.0558206
+0.0553
+0.0548551
+0.0544847
+0.0542004
+0.0540035
+0.053895
+0.0538743
+0.0539266
+0.0540677
+0.0542968
+0.0545874
+0.0541797
+0.0531572
+0.0522067
+0.0513322
+0.0505375
+0.0498266
+0.049203
+0.0486701
+0.047932
+0.0472739
+0.0467093
+0.0462417
+0.045874
+0.0456087
+0.0454476
+0.0453918
+0.0454416
+0.0455968
+0.0458562
+0.0461511
+0.0459722
+0.0458699
+0.0458184
+0.0458539
+0.0459307
+0.0461099
+0.046362
+0.0466631
+0.0467084
+0.0465621
+0.0465178
+0.0465577
+0.0467003
+0.0469447
+0.0472895
+0.0477324
+0.0482708
+0.0489015
+0.0496209
+0.0504254
+0.0513108
+0.0522731
+0.0533081
+0.0544116
+0.0555797
+0.0568082
+0.0580933
+0.0594315
+0.0952328
+0.0938208
+0.0924391
+0.0910892
+0.0897724
+0.0884898
+0.087242
+0.086032
+0.0847859
+0.0834884
+0.0822268
+0.0809986
+0.0798117
+0.0786466
+0.077475
+0.0763456
+0.075263
+0.0742237
+0.0731786
+0.0721745
+0.071146
+0.0701269
+0.0691621
+0.0682539
+0.0674048
+0.0666117
+0.0657993
+0.0649825
+0.0641798
+0.0633837
+0.0626471
+0.0619792
+0.0610388
+0.0600032
+0.0590189
+0.0580813
+0.0572116
+0.0563896
+0.0556247
+0.0549365
+0.0543198
+0.0537847
+0.0533272
+0.0529461
+0.0526534
+0.0524507
+0.052339
+0.0523177
+0.0523715
+0.0525168
+0.0527527
+0.0530517
+0.0523057
+0.0512459
+0.0502593
+0.0493502
+0.0485231
+0.0477822
+0.0471316
+0.046575
+0.0459351
+0.0452492
+0.044659
+0.0441696
+0.0437846
+0.0435066
+0.0433377
+0.0432791
+0.0433314
+0.043494
+0.0437659
+0.0439943
+0.0438065
+0.043703
+0.043649
+0.0436875
+0.0437682
+0.0439541
+0.0442139
+0.0445247
+0.0446121
+0.0444589
+0.0444125
+0.0444544
+0.0446036
+0.0448595
+0.0452202
+0.0456832
+0.0462454
+0.0469034
+0.047653
+0.0484901
+0.0494102
+0.0504088
+0.0514813
+0.0526231
+0.05383
+0.0550975
+0.0564217
+0.0577986
+0.0939642
+0.092537
+0.0911358
+0.0897663
+0.0884299
+0.087128
+0.0858616
+0.0846318
+0.0834414
+0.0821712
+0.0808912
+0.079648
+0.0784407
+0.0772766
+0.0761149
+0.0749661
+0.0738633
+0.0728097
+0.0717848
+0.0707715
+0.069761
+0.0687318
+0.0677471
+0.0668197
+0.0659522
+0.0651467
+0.0643525
+0.0635412
+0.0627715
+0.0619641
+0.0612104
+0.0605267
+0.0597342
+0.0586756
+0.0576686
+0.0567245
+0.0558343
+0.0549917
+0.0542071
+0.0535006
+0.0528671
+0.0523172
+0.0518468
+0.0514547
+0.0511535
+0.0509448
+0.0508298
+0.0508078
+0.0508633
+0.0510129
+0.0512557
+0.0515634
+0.0504535
+0.0493578
+0.0483326
+0.0473866
+0.0465246
+0.0457514
+0.0450714
+0.0444891
+0.0439552
+0.0432406
+0.0426226
+0.0421097
+0.0417056
+0.0414136
+0.0412361
+0.0411746
+0.0412295
+0.0414004
+0.041686
+0.0418409
+0.0416434
+0.0415386
+0.0414818
+0.0415238
+0.0416086
+0.0418019
+0.0420702
+0.0423915
+0.0425253
+0.0423646
+0.0423159
+0.0423599
+0.0425165
+0.0427849
+0.0431629
+0.0436477
+0.0442358
+0.0449232
+0.0457053
+0.0465774
+0.0475346
+0.0485717
+0.0496839
+0.0508661
+0.0521137
+0.053422
+0.0547866
+0.0562036
+0.0926847
+0.0912864
+0.0898671
+0.0884779
+0.0871217
+0.0858
+0.0845144
+0.0832658
+0.0820556
+0.0808866
+0.0795912
+0.0783303
+0.0771076
+0.075923
+0.0747839
+0.0736259
+0.0725027
+0.0714291
+0.0704073
+0.0693986
+0.0683812
+0.0673746
+0.0663743
+0.0654275
+0.0645412
+0.0637179
+0.0629422
+0.0621423
+0.0613551
+0.0605904
+0.0598194
+0.0591196
+0.0584826
+0.057401
+0.0563712
+0.0554049
+0.0545096
+0.0536434
+0.0528422
+0.0521173
+0.0514668
+0.0509018
+0.0504181
+0.0500148
+0.0497049
+0.0494901
+0.0493717
+0.0493491
+0.0494062
+0.0495601
+0.04981
+0.049817
+0.0486225
+0.0474957
+0.0464294
+0.0454438
+0.0445442
+0.043736
+0.0430242
+0.0424137
+0.041909
+0.0412506
+0.0406024
+0.0400635
+0.0396386
+0.0393313
+0.0391444
+0.0390795
+0.0391374
+0.0393174
+0.0396172
+0.0396917
+0.0394834
+0.0393771
+0.0393172
+0.039363
+0.0394525
+0.039654
+0.0399316
+0.0402646
+0.0404458
+0.0402768
+0.0402266
+0.0402756
+0.0404403
+0.0407224
+0.0411193
+0.041628
+0.0422442
+0.0429635
+0.0437806
+0.0446903
+0.045687
+0.0467652
+0.0479193
+0.049144
+0.0504341
+0.0517849
+0.0531916
+0.0546499
+0.0914392
+0.0900218
+0.0886343
+0.0872255
+0.0858496
+0.084508
+0.0832024
+0.0819346
+0.0807054
+0.0795166
+0.078331
+0.0770495
+0.0758096
+0.0746092
+0.0734497
+0.0723168
+0.0711836
+0.0700898
+0.0690481
+0.068061
+0.0670446
+0.0660471
+0.0650442
+0.0640799
+0.0631746
+0.0623333
+0.0615585
+0.0607805
+0.0599853
+0.0592505
+0.0584775
+0.0577603
+0.0571175
+0.0561828
+0.0551303
+0.0541419
+0.0532253
+0.0523379
+0.0515216
+0.0507868
+0.0501231
+0.0495428
+0.049044
+0.0486293
+0.0483105
+0.0480895
+0.0479676
+0.0479451
+0.0480049
+0.0481633
+0.0480877
+0.0477302
+0.0468224
+0.0456547
+0.0445526
+0.0435246
+0.0425845
+0.0417383
+0.0409918
+0.0403506
+0.0398198
+0.0392799
+0.0386007
+0.0380335
+0.0375856
+0.0372614
+0.037064
+0.0369955
+0.0370567
+0.0372467
+0.03756
+0.0375472
+0.037327
+0.0372191
+0.0371556
+0.0372057
+0.0373003
+0.0375109
+0.0377989
+0.0381449
+0.038375
+0.0381969
+0.0381439
+0.0382033
+0.0383769
+0.038674
+0.0390918
+0.0396264
+0.0402733
+0.0410271
+0.0418821
+0.0428321
+0.043871
+0.0449927
+0.0461911
+0.0474605
+0.0487952
+0.05019
+0.0516402
+0.0531411
+0.0902297
+0.088793
+0.0873876
+0.0860107
+0.084615
+0.0832535
+0.081928
+0.0806402
+0.0793919
+0.078184
+0.0770185
+0.0758103
+0.0745498
+0.0733331
+0.0721574
+0.0710255
+0.0698992
+0.0687941
+0.0677325
+0.066726
+0.0657538
+0.0647365
+0.0637562
+0.0627797
+0.0618555
+0.060996
+0.060204
+0.059447
+0.0586643
+0.0579126
+0.0571715
+0.056437
+0.0557789
+0.0550249
+0.0539498
+0.0529394
+0.0520017
+0.051093
+0.0502565
+0.0495028
+0.0488289
+0.0482331
+0.0477212
+0.047295
+0.0469671
+0.0467398
+0.0466143
+0.0465917
+0.0466606
+0.0464105
+0.0459436
+0.0455692
+0.0450525
+0.0438422
+0.0427049
+0.0416321
+0.0406482
+0.0397609
+0.0389766
+0.0383016
+0.037742
+0.0373028
+0.0366206
+0.0360223
+0.0355491
+0.0352061
+0.0349972
+0.0349246
+0.0349894
+0.0351906
+0.0355185
+0.0354084
+0.0351748
+0.0350651
+0.0349977
+0.0350525
+0.035153
+0.0353738
+0.0356716
+0.0360337
+0.0363183
+0.03613
+0.036074
+0.0361449
+0.0363283
+0.036642
+0.0370827
+0.0376459
+0.0383263
+0.0391176
+0.0400134
+0.0410067
+0.0420907
+0.0432586
+0.0445038
+0.0458198
+0.047201
+0.0486416
+0.0501365
+0.0516811
+0.0890292
+0.0876018
+0.0861769
+0.0847848
+0.0834197
+0.0820384
+0.0806929
+0.079385
+0.0781168
+0.07689
+0.0757053
+0.0745655
+0.0733338
+0.0720966
+0.0709055
+0.0697571
+0.0686555
+0.0675349
+0.0664632
+0.0654371
+0.0644692
+0.0634743
+0.0624967
+0.0615229
+0.0605869
+0.0597092
+0.0588998
+0.0581618
+0.0573906
+0.0566221
+0.0559201
+0.055169
+0.0544956
+0.0539029
+0.0528339
+0.0518017
+0.050843
+0.0499132
+0.0490566
+0.0482842
+0.0475931
+0.0469817
+0.0464641
+0.0460262
+0.0456893
+0.0454555
+0.0453266
+0.0453033
+0.0448411
+0.044283
+0.0438041
+0.0434113
+0.0431263
+0.0420657
+0.0408795
+0.0397703
+0.0387392
+0.037807
+0.0369813
+0.0362692
+0.0356777
+0.0352128
+0.034666
+0.0340333
+0.033532
+0.0331682
+0.0329463
+0.0328692
+0.032938
+0.0331517
+0.0334959
+0.033273
+0.0330277
+0.0329159
+0.0328441
+0.0329044
+0.0330113
+0.0332436
+0.0335479
+0.0339325
+0.0342782
+0.0340786
+0.0340192
+0.0341007
+0.0342973
+0.0346295
+0.0350954
+0.03569
+0.0364069
+0.0372391
+0.0381789
+0.0392188
+0.0403509
+0.0415677
+0.0428619
+0.0442269
+0.0456562
+0.0471441
+0.048685
+0.0502741
+0.0877478
+0.0864496
+0.0850055
+0.0835938
+0.0822163
+0.0808643
+0.079499
+0.0781712
+0.0768828
+0.0756361
+0.0744329
+0.0732739
+0.0721622
+0.0709063
+0.0696948
+0.068532
+0.0674136
+0.0663141
+0.0652264
+0.0641951
+0.0632102
+0.0622637
+0.0612668
+0.0603189
+0.0593672
+0.058474
+0.0576473
+0.056893
+0.0561619
+0.0553882
+0.0546793
+0.0539601
+0.0532714
+0.052665
+0.0517866
+0.0507331
+0.0497538
+0.0488032
+0.0479268
+0.047136
+0.0464279
+0.0458009
+0.0452713
+0.0448287
+0.0444827
+0.0442426
+0.0441101
+0.0434357
+0.0427471
+0.0421613
+0.0416699
+0.0412568
+0.0409568
+0.0402559
+0.0390912
+0.0379385
+0.0368614
+0.0358805
+0.0350094
+0.0342564
+0.0336295
+0.0331358
+0.0327379
+0.0320706
+0.0315381
+0.031151
+0.0309146
+0.0308325
+0.0309058
+0.0311335
+0.0314934
+0.0311393
+0.0308866
+0.0307726
+0.0306958
+0.0307622
+0.0308766
+0.0311218
+0.0314332
+0.0318434
+0.0322578
+0.0320456
+0.0319825
+0.0320691
+0.0322873
+0.0326398
+0.0331338
+0.033763
+0.0345199
+0.0353964
+0.0363839
+0.0374736
+0.0386568
+0.0399253
+0.0412711
+0.042687
+0.0441662
+0.0457025
+0.0472892
+0.0489089
+0.0865029
+0.0851858
+0.0838749
+0.0824439
+0.0810468
+0.0796855
+0.0783481
+0.0770005
+0.0756923
+0.0744255
+0.0732024
+0.0720252
+0.0708944
+0.0697644
+0.0685328
+0.0673499
+0.0662184
+0.0651333
+0.0640365
+0.0629857
+0.0619945
+0.0610594
+0.0600916
+0.0591392
+0.0582011
+0.0572897
+0.0564457
+0.0556751
+0.0549784
+0.0542147
+0.0534903
+0.0528112
+0.0521107
+0.0514905
+0.0507964
+0.0497381
+0.0487388
+0.0477681
+0.0468723
+0.0460633
+0.0453386
+0.0446963
+0.0441535
+0.0437083
+0.0433533
+0.0431069
+0.042206
+0.0413866
+0.0406634
+0.040047
+0.039541
+0.0391063
+0.0387897
+0.0384672
+0.0372901
+0.0361374
+0.03502
+0.033986
+0.033065
+0.0322667
+0.0316003
+0.0310744
+0.0306865
+0.0301383
+0.0295711
+0.0291579
+0.0289053
+0.0288174
+0.0288958
+0.0291392
+0.0293802
+0.0290142
+0.0287531
+0.0286328
+0.0285539
+0.0286273
+0.0287502
+0.0290102
+0.0293297
+0.029762
+0.030232
+0.0300349
+0.0299674
+0.03006
+0.0303022
+0.0306776
+0.0312027
+0.03187
+0.0326708
+0.0335956
+0.0346345
+0.0357775
+0.037015
+0.0383378
+0.0397374
+0.041206
+0.0427365
+0.0443186
+0.0459384
+0.0476038
+0.0852961
+0.08396
+0.0826604
+0.0813367
+0.0799203
+0.0785394
+0.0771961
+0.075875
+0.074547
+0.0732605
+0.0720176
+0.0708207
+0.0696722
+0.0685724
+0.0674219
+0.0662192
+0.065068
+0.0639712
+0.0629005
+0.0618303
+0.0608203
+0.0598689
+0.0589683
+0.0580036
+0.0570862
+0.0561659
+0.0553048
+0.0545181
+0.0538091
+0.0531016
+0.052366
+0.0517085
+0.0510176
+0.050384
+0.0498387
+0.0488047
+0.0478027
+0.0468126
+0.0458981
+0.0450717
+0.0443308
+0.0436737
+0.043118
+0.0426677
+0.0422037
+0.0411609
+0.0402084
+0.0393527
+0.0385914
+0.0379415
+0.0374087
+0.0369606
+0.0366254
+0.0364192
+0.0354872
+0.0343477
+0.0332099
+0.0321292
+0.0311534
+0.0303047
+0.0295942
+0.029032
+0.0286221
+0.0282405
+0.0276344
+0.0271917
+0.0269206
+0.0268263
+0.0269105
+0.0271717
+0.0272723
+0.0268996
+0.0266224
+0.0264911
+0.02642
+0.0265008
+0.0266336
+0.0269113
+0.0272399
+0.02768
+0.0281768
+0.0280511
+0.0279789
+0.0280779
+0.0283464
+0.0287484
+0.0293081
+0.0300175
+0.0308664
+0.0318437
+0.0329379
+0.0341377
+0.0354325
+0.0368123
+0.0382677
+0.0397906
+0.0413665
+0.0429858
+0.0446539
+0.0463655
+0.0840923
+0.0827741
+0.0814556
+0.0801753
+0.0788385
+0.0774384
+0.0760756
+0.0747521
+0.0734493
+0.0721432
+0.0708807
+0.0696643
+0.0684964
+0.0673794
+0.0663138
+0.0651406
+0.06397
+0.062854
+0.0617747
+0.060732
+0.0597034
+0.0587342
+0.057822
+0.0569253
+0.0560088
+0.0550939
+0.0542284
+0.0534258
+0.0527022
+0.052051
+0.0513103
+0.0506394
+0.0499874
+0.04935
+0.0487932
+0.0479507
+0.0469331
+0.0459417
+0.0450096
+0.0441666
+0.0434104
+0.0427391
+0.0421711
+0.0414914
+0.0403194
+0.0392325
+0.038232
+0.0373333
+0.0365333
+0.0358461
+0.0352817
+0.0348201
+0.0344642
+0.0342449
+0.0337302
+0.0325292
+0.0314269
+0.0303157
+0.0292808
+0.0283762
+0.0276162
+0.0270128
+0.0265765
+0.0262826
+0.0257384
+0.0252625
+0.0249705
+0.0248687
+0.0249596
+0.0252409
+0.0251692
+0.0247982
+0.0245001
+0.0243581
+0.0242882
+0.0243771
+0.0245213
+0.0248278
+0.0251672
+0.0256162
+0.0261223
+0.0261004
+0.0260228
+0.0261292
+0.0264176
+0.0268594
+0.0274575
+0.0282136
+0.0291151
+0.0301492
+0.0313027
+0.0325629
+0.0339178
+0.0353567
+0.0368697
+0.0384373
+0.0400553
+0.0417255
+0.043442
+0.0451995
+0.0829102
+0.0815862
+0.0802925
+0.0789933
+0.0777342
+0.0763843
+0.0750023
+0.0736596
+0.0723583
+0.0710759
+0.0697941
+0.0685584
+0.0673713
+0.0662354
+0.0651533
+0.064116
+0.0629264
+0.0617915
+0.0606933
+0.0596458
+0.0586471
+0.0576604
+0.0567309
+0.055872
+0.0549667
+0.0540849
+0.0532075
+0.0524024
+0.0516645
+0.05101
+0.0503183
+0.049644
+0.0490297
+0.0483909
+0.0478251
+0.047183
+0.0461485
+0.0451605
+0.0442119
+0.0433533
+0.0425828
+0.0418983
+0.0410014
+0.0396943
+0.0384677
+0.0373293
+0.0362801
+0.0353318
+0.0344916
+0.0337628
+0.033163
+0.0326849
+0.0323055
+0.0320715
+0.0319861
+0.0307593
+0.0295999
+0.0285387
+0.0274554
+0.0264886
+0.0256727
+0.0250225
+0.0245513
+0.0242391
+0.0238929
+0.0233795
+0.0230636
+0.0229534
+0.0230518
+0.0233561
+0.0230813
+0.0227023
+0.0223893
+0.0222364
+0.0221668
+0.0222663
+0.0224241
+0.0227464
+0.0231164
+0.0235752
+0.0240919
+0.0241908
+0.024107
+0.0242219
+0.0245327
+0.0250196
+0.0256607
+0.026468
+0.0274271
+0.0285224
+0.0297391
+0.0310627
+0.0324803
+0.0339801
+0.0355368
+0.0371519
+0.0388234
+0.0405444
+0.0423089
+0.0441116
+0.0817523
+0.0804248
+0.0791221
+0.0778551
+0.0765772
+0.0753414
+0.0739784
+0.0726168
+0.0712965
+0.0700198
+0.0687601
+0.0675055
+0.0662996
+0.0651449
+0.0640445
+0.0630008
+0.0619426
+0.0607894
+0.0596727
+0.058607
+0.0576049
+0.056651
+0.0557047
+0.0548297
+0.0539926
+0.0531107
+0.052254
+0.0514387
+0.0507002
+0.0500331
+0.049403
+0.0487213
+0.0481194
+0.0475022
+0.0469309
+0.0464503
+0.0454561
+0.0444735
+0.0435099
+0.0426372
+0.0418536
+0.0407162
+0.0392969
+0.0379386
+0.0366532
+0.0354567
+0.0343571
+0.0333542
+0.0324683
+0.0316941
+0.0310543
+0.0305564
+0.0301501
+0.0298992
+0.0298077
+0.0290467
+0.0278161
+0.0267048
+0.0256795
+0.0246511
+0.0237722
+0.0230686
+0.0225565
+0.0222238
+0.0220879
+0.0215546
+0.0212116
+0.0210917
+0.0211987
+0.0215293
+0.021011
+0.0206191
+0.0202939
+0.0201295
+0.0200603
+0.0201723
+0.0203467
+0.0206875
+0.0210789
+0.0215636
+0.0220845
+0.0223329
+0.0222421
+0.0223666
+0.0227028
+0.0232407
+0.0239295
+0.0247933
+0.0258146
+0.0269755
+0.0282588
+0.0296487
+0.0311306
+0.0326726
+0.0342826
+0.0359541
+0.0376788
+0.0394498
+0.0412611
+0.0431076
+0.0805769
+0.079274
+0.0779659
+0.0766882
+0.0754501
+0.0741968
+0.0729829
+0.0716258
+0.0702869
+0.0689915
+0.0677407
+0.0665081
+0.0652837
+0.0641108
+0.0629923
+0.0619311
+0.0609288
+0.0598507
+0.0587162
+0.0576328
+0.0566135
+0.0556617
+0.0547469
+0.0538563
+0.0530413
+0.052194
+0.0513747
+0.0505468
+0.0497972
+0.0491178
+0.0485279
+0.0478756
+0.0472733
+0.046699
+0.0461129
+0.0456236
+0.04486
+0.04388
+0.0429084
+0.0420233
+0.0406556
+0.0391115
+0.0376317
+0.036224
+0.0348809
+0.0336213
+0.0324609
+0.0314049
+0.0304623
+0.0296428
+0.0289578
+0.0284255
+0.0280001
+0.0277298
+0.0276311
+0.0274024
+0.0260943
+0.0249106
+0.0238508
+0.0228759
+0.021926
+0.021161
+0.0206016
+0.0202449
+0.0200957
+0.0198041
+0.0194302
+0.0192992
+0.0194161
+0.019515
+0.0189679
+0.0185421
+0.0182208
+0.0180425
+0.0179739
+0.018092
+0.0182956
+0.0186556
+0.0190563
+0.0195905
+0.0201044
+0.0205407
+0.020442
+0.0205774
+0.0209423
+0.0215251
+0.0222793
+0.0232047
+0.0242929
+0.0255231
+0.0268758
+0.0283318
+0.0298551
+0.0314568
+0.033126
+0.0348529
+0.0366295
+0.0384489
+0.0403052
+0.0421936
+0.0794185
+0.0781302
+0.0768407
+0.0755529
+0.0742989
+0.0730865
+0.0718571
+0.0706689
+0.0693318
+0.0680182
+0.0667492
+0.0655245
+0.0643265
+0.0631358
+0.0619997
+0.0609212
+0.0599035
+0.0588971
+0.0578268
+0.0567265
+0.0556906
+0.0547228
+0.0538268
+0.0529558
+0.0521267
+0.0513545
+0.0505215
+0.0497354
+0.0489734
+0.0482824
+0.0476822
+0.0471168
+0.0465048
+0.0459823
+0.045386
+0.0448888
+0.0443642
+0.043373
+0.0424117
+0.0408306
+0.0391711
+0.0375661
+0.0360229
+0.0345497
+0.0331557
+0.0318294
+0.0306011
+0.0294847
+0.0284836
+0.027613
+0.0268763
+0.0263019
+0.025857
+0.0255641
+0.0254569
+0.0254799
+0.0244477
+0.02318
+0.0220573
+0.0210658
+0.0201489
+0.0193136
+0.0186991
+0.0183142
+0.0181492
+0.0181494
+0.0177406
+0.0175971
+0.0177253
+0.0174472
+0.0169616
+0.0164845
+0.0161656
+0.0159833
+0.0159075
+0.0160343
+0.0162777
+0.0166269
+0.0170753
+0.0176514
+0.0181728
+0.0187564
+0.0187252
+0.0188729
+0.0192702
+0.019902
+0.0207296
+0.0217211
+0.0228799
+0.0241821
+0.0255998
+0.027099
+0.0286873
+0.0303506
+0.0320774
+0.0338579
+0.0356841
+0.0375492
+0.0394479
+0.0413755
+0.0783044
+0.0769974
+0.0757311
+0.0744557
+0.0731829
+0.0719543
+0.0707721
+0.0695747
+0.0684169
+0.0671024
+0.0658157
+0.0645733
+0.0633822
+0.0622227
+0.0610696
+0.0599743
+0.0589387
+0.0579653
+0.0569616
+0.0558914
+0.0548397
+0.0536935
+0.0525686
+0.0515123
+0.050529
+0.049623
+0.0487985
+0.0480599
+0.047411
+0.0468557
+0.0463872
+0.0460083
+0.0457313
+0.0452985
+0.0447504
+0.0442461
+0.0438455
+0.0429441
+0.0411829
+0.039453
+0.0377555
+0.0360876
+0.0344783
+0.0329361
+0.0314709
+0.0300901
+0.0287877
+0.0275979
+0.0265357
+0.0256039
+0.0248135
+0.0241902
+0.0237226
+0.0234029
+0.0232859
+0.0233247
+0.022841
+0.0215334
+0.0203202
+0.0192651
+0.0183794
+0.0175454
+0.0168665
+0.0164489
+0.0162649
+0.0163746
+0.016163
+0.0160053
+0.0159182
+0.0154133
+0.0149947
+0.014466
+0.0141436
+0.0139502
+0.0138715
+0.0140168
+0.0142915
+0.014645
+0.01514
+0.0157742
+0.0163067
+0.0169283
+0.017117
+0.0172785
+0.0177115
+0.0183969
+0.0193034
+0.0203654
+0.0215971
+0.0229602
+0.024425
+0.025992
+0.0276439
+0.0293664
+0.0311478
+0.0329785
+0.0348508
+0.0367583
+0.0386958
+0.040659
+0.0772363
+0.0759109
+0.0746262
+0.0733845
+0.0721162
+0.0708691
+0.0696685
+0.068517
+0.0673574
+0.0662334
+0.0649427
+0.0636833
+0.0624753
+0.0613217
+0.0601932
+0.059079
+0.0580263
+0.0570382
+0.0556788
+0.0543458
+0.0530697
+0.0518485
+0.0506827
+0.0495862
+0.0485639
+0.0476205
+0.0467608
+0.0459894
+0.0453109
+0.0447296
+0.0442431
+0.0438457
+0.043555
+0.0433731
+0.0433014
+0.0433404
+0.0432811
+0.0417055
+0.0398935
+0.0381211
+0.0363815
+0.0346845
+0.0330068
+0.0313924
+0.0298515
+0.0283962
+0.0270302
+0.0257594
+0.0246182
+0.0236237
+0.0227747
+0.022094
+0.0215995
+0.0212479
+0.0211189
+0.0211767
+0.0211328
+0.0199196
+0.0186784
+0.0175414
+0.0165785
+0.0158153
+0.0151005
+0.0146377
+0.0144673
+0.0145904
+0.0147005
+0.0145363
+0.0139799
+0.0134233
+0.0130979
+0.0125048
+0.0121685
+0.0119285
+0.0118876
+0.0120466
+0.0123522
+0.0127294
+0.0132789
+0.0139452
+0.0145316
+0.0151915
+0.0156509
+0.0158273
+0.0162989
+0.0170412
+0.0179967
+0.0191315
+0.0204377
+0.0218632
+0.0233967
+0.0250282
+0.0267397
+0.0285169
+0.0303482
+0.0322244
+0.034138
+0.0360832
+0.0380551
+0.0400497
+0.0761735
+0.0748728
+0.07357
+0.0723101
+0.0710937
+0.0698357
+0.0686171
+0.0674476
+0.0663299
+0.065212
+0.0641222
+0.062857
+0.0616328
+0.0604633
+0.0593515
+0.0582513
+0.056886
+0.055409
+0.0539805
+0.0526044
+0.0512851
+0.0500269
+0.0488222
+0.047683
+0.046619
+0.0456354
+0.0447375
+0.0439307
+0.0432199
+0.04261
+0.0421039
+0.0416861
+0.0413802
+0.0411887
+0.0411131
+0.0411543
+0.0413117
+0.0405475
+0.0386813
+0.0368508
+0.0350616
+0.033315
+0.0316098
+0.0299296
+0.0283092
+0.0267702
+0.0253273
+0.02398
+0.0227498
+0.0216718
+0.0207643
+0.020018
+0.0194877
+0.0191009
+0.0189573
+0.0190386
+0.0191061
+0.0182197
+0.0170608
+0.015914
+0.0148803
+0.0140541
+0.0134545
+0.0129329
+0.0127709
+0.0129274
+0.0131886
+0.0129871
+0.0120838
+0.0114942
+0.0111549
+0.0106009
+0.0102318
+0.00997763
+0.00997743
+0.0101411
+0.0104846
+0.0108971
+0.011532
+0.0122199
+0.0128537
+0.0135547
+0.0143334
+0.0145614
+0.0150727
+0.0158576
+0.0168614
+0.0180676
+0.0194454
+0.0209386
+0.0225351
+0.0242247
+0.0259892
+0.0278144
+0.029689
+0.0316043
+0.0335534
+0.0355306
+0.0375315
+0.0395526
+0.0751529
+0.0738442
+0.0725645
+0.0712869
+0.0700545
+0.0688466
+0.06762
+0.0664333
+0.0652983
+0.0642179
+0.063141
+0.0620863
+0.0607434
+0.0593274
+0.0579596
+0.0566435
+0.0553116
+0.0537914
+0.0523188
+0.0508978
+0.049533
+0.0482292
+0.0469901
+0.0458055
+0.0446968
+0.0436699
+0.0427308
+0.0418853
+0.0411391
+0.0404979
+0.0399666
+0.0395298
+0.0392071
+0.0390049
+0.0389252
+0.0389686
+0.0391349
+0.0393985
+0.0375578
+0.0356697
+0.0338181
+0.0320093
+0.0302507
+0.028535
+0.0268572
+0.0252297
+0.0236931
+0.0222664
+0.020944
+0.0197677
+0.0187742
+0.0179692
+0.0173766
+0.0169651
+0.0168033
+0.0169024
+0.0169425
+0.0165404
+0.015379
+0.014302
+0.0132648
+0.0123939
+0.0117725
+0.0113914
+0.0112071
+0.0111365
+0.0110423
+0.0110181
+0.0102984
+0.00961621
+0.00923339
+0.00882492
+0.00837066
+0.00811682
+0.00815567
+0.00836569
+0.00873142
+0.00922245
+0.00990879
+0.0106615
+0.0113234
+0.0120716
+0.0129497
+0.0134937
+0.0140439
+0.0148825
+0.0159477
+0.017218
+0.0186587
+0.02021
+0.0218598
+0.0235978
+0.0254059
+0.0272701
+0.0291798
+0.0311265
+0.0331037
+0.0351062
+0.03713
+0.0391718
+0.0741393
+0.0728569
+0.0715725
+0.070317
+0.0690673
+0.0678653
+0.0666678
+0.0654743
+0.0643247
+0.0632277
+0.0621447
+0.0606134
+0.0591174
+0.0576615
+0.0562532
+0.0548962
+0.0535945
+0.0522157
+0.0506973
+0.0492295
+0.0478171
+0.0464652
+0.045179
+0.043957
+0.0428004
+0.0417269
+0.040743
+0.0398553
+0.0390705
+0.0383947
+0.0378339
+0.0373776
+0.0370362
+0.0368221
+0.0367376
+0.0367836
+0.0369597
+0.0372361
+0.0365313
+0.0345872
+0.0326743
+0.0307984
+0.0289668
+0.0271883
+0.025466
+0.0237914
+0.0221553
+0.0206224
+0.0192166
+0.0179292
+0.0168275
+0.0159522
+0.0152878
+0.0148454
+0.0146601
+0.0147703
+0.014787
+0.0147595
+0.0137021
+0.0126596
+0.0117138
+0.0108496
+0.0102127
+0.00968633
+0.00927084
+0.00899243
+0.0089176
+0.00906112
+0.00860703
+0.00784091
+0.0074238
+0.00715893
+0.00665304
+0.00643696
+0.00652632
+0.00675483
+0.00718562
+0.00777543
+0.00850641
+0.00930077
+0.0100334
+0.0108305
+0.0117487
+0.0127154
+0.0132986
+0.0141813
+0.0152954
+0.0166157
+0.0181043
+0.0196994
+0.0213886
+0.023162
+0.0250016
+0.0268939
+0.0288285
+0.0307974
+0.0327944
+0.0348144
+0.0368502
+0.0389018
+0.0731385
+0.0718586
+0.0706217
+0.0693541
+0.0681327
+0.0669176
+0.0657493
+0.0645641
+0.0634067
+0.0622302
+0.0606258
+0.0590553
+0.0575251
+0.0560317
+0.0545814
+0.0531818
+0.051837
+0.0505514
+0.0491199
+0.0476036
+0.0461415
+0.0447389
+0.0434016
+0.0421358
+0.0409334
+0.0398096
+0.0387771
+0.0378433
+0.0370158
+0.0363018
+0.0357082
+0.0352302
+0.0348677
+0.0346402
+0.0345504
+0.0345993
+0.0347859
+0.0350769
+0.0352417
+0.0336128
+0.031641
+0.0296999
+0.027796
+0.0259374
+0.0241346
+0.0224001
+0.0207282
+0.0190887
+0.0175614
+0.0161787
+0.0149485
+0.0139559
+0.0132268
+0.0127496
+0.0125334
+0.0126581
+0.0126435
+0.0126753
+0.0121107
+0.0110045
+0.0101406
+0.00929959
+0.00833994
+0.00765941
+0.00712883
+0.00687553
+0.0068347
+0.00706416
+0.00672476
+0.00623394
+0.00574102
+0.00574029
+0.00525276
+0.0050756
+0.00522357
+0.0054691
+0.00598137
+0.00664169
+0.00745648
+0.00826075
+0.00906322
+0.00988364
+0.0108612
+0.0119003
+0.012884
+0.0137959
+0.0149388
+0.016288
+0.0178041
+0.0194238
+0.0211351
+0.0229279
+0.0247839
+0.0266876
+0.0286295
+0.0306049
+0.0326079
+0.0346337
+0.0366783
+0.038739
+0.0721903
+0.0708933
+0.0696411
+0.0684361
+0.0672049
+0.0660165
+0.0648447
+0.0637137
+0.0624641
+0.060787
+0.0591434
+0.0575363
+0.0559668
+0.0544379
+0.0529475
+0.0515035
+0.0501137
+0.0487827
+0.0475155
+0.0460245
+0.0445106
+0.0430549
+0.0416636
+0.0403433
+0.0390998
+0.0379219
+0.0368365
+0.0358523
+0.0349777
+0.0342212
+0.0335908
+0.0330884
+0.0327021
+0.0324595
+0.0323636
+0.0324158
+0.0326136
+0.0329218
+0.0330807
+0.0327561
+0.0307294
+0.0287268
+0.0267537
+0.0248172
+0.0229264
+0.0210938
+0.0193358
+0.0176612
+0.0160341
+0.014516
+0.0131662
+0.0120273
+0.0112013
+0.010684
+0.0104332
+0.0105779
+0.0105121
+0.0106281
+0.00997785
+0.00948356
+0.00858184
+0.00741311
+0.00636488
+0.00556243
+0.00502893
+0.00480975
+0.00479797
+0.00513637
+0.00504598
+0.00474493
+0.00433387
+0.00440896
+0.0043348
+0.004247
+0.00444569
+0.00472139
+0.00525435
+0.00599133
+0.00678555
+0.00763107
+0.00846615
+0.00932809
+0.0103682
+0.0114521
+0.0125921
+0.0137015
+0.0148794
+0.0162327
+0.0177474
+0.0193556
+0.0210691
+0.0228642
+0.0247231
+0.0266306
+0.0285763
+0.0305552
+0.0325613
+0.0345897
+0.0366369
+0.0386997
+0.0712465
+0.0699833
+0.0687144
+0.0674929
+0.0663213
+0.0651322
+0.0639803
+0.06285
+0.061105
+0.0593894
+0.0577061
+0.0560578
+0.0544478
+0.0528794
+0.0513521
+0.049865
+0.0484282
+0.0470495
+0.0457343
+0.0444881
+0.0429295
+0.0414183
+0.0399701
+0.0385919
+0.0372915
+0.0360685
+0.0349256
+0.0338859
+0.0329591
+0.0321552
+0.0314834
+0.0309525
+0.0305402
+0.0302802
+0.0301774
+0.0302334
+0.030444
+0.0307716
+0.0309212
+0.0306387
+0.0299131
+0.0278921
+0.0258554
+0.023846
+0.0218715
+0.0199421
+0.0180725
+0.016283
+0.0146013
+0.0130001
+0.0114989
+0.0102052
+0.00922234
+0.00861885
+0.00837716
+0.00855309
+0.00840539
+0.00853228
+0.0078553
+0.00748561
+0.00693743
+0.00574017
+0.00444428
+0.00346013
+0.00287129
+0.00274012
+0.00281431
+0.0032684
+0.00355833
+0.00360224
+0.00355745
+0.00367713
+0.00407065
+0.00407105
+0.00422915
+0.00457802
+0.00517246
+0.00596538
+0.00666939
+0.00753556
+0.00832989
+0.00921186
+0.0102541
+0.0114127
+0.0125764
+0.0138003
+0.0150982
+0.0164334
+0.0179312
+0.0195243
+0.0212241
+0.0230071
+0.0248554
+0.0267534
+0.0286908
+0.0306624
+0.0326618
+0.0346844
+0.0367263
+0.0387844
+0.0703246
+0.0690733
+0.0678459
+0.0666085
+0.065421
+0.0642862
+0.0631369
+0.0615774
+0.0597952
+0.058041
+0.0563173
+0.0546272
+0.0529737
+0.0513604
+0.0497913
+0.0482679
+0.0467845
+0.0453559
+0.0439901
+0.042693
+0.0414041
+0.039835
+0.038327
+0.0368875
+0.0355248
+0.0342481
+0.0330494
+0.0319486
+0.030964
+0.0301068
+0.0293883
+0.0288187
+0.0283827
+0.0281027
+0.0279919
+0.0280523
+0.0282776
+0.0286276
+0.0287658
+0.0284661
+0.0283246
+0.0270597
+0.0250245
+0.0230179
+0.0209929
+0.0189744
+0.0169986
+0.0150823
+0.0132513
+0.0115463
+0.0100047
+0.00853411
+0.00735789
+0.00663475
+0.00635353
+0.00655132
+0.00635568
+0.00635069
+0.00577241
+0.00531867
+0.00525365
+0.00415279
+0.00269673
+0.00143365
+0.000741119
+0.000621768
+0.000836553
+0.00179507
+0.0026934
+0.00326434
+0.00355896
+0.00357404
+0.00404316
+0.00434967
+0.00461631
+0.00507873
+0.00574421
+0.00651198
+0.00716346
+0.00793658
+0.00871028
+0.00957053
+0.010583
+0.0116748
+0.0128596
+0.0141206
+0.0154805
+0.0168595
+0.0183325
+0.0199121
+0.0215917
+0.0233556
+0.0251783
+0.0270537
+0.028971
+0.0309247
+0.0329082
+0.0349165
+0.0369456
+0.0389921
+0.0694043
+0.0681925
+0.0669729
+0.0657851
+0.0645825
+0.0634327
+0.0621845
+0.060349
+0.0585379
+0.0567451
+0.0549808
+0.0532483
+0.0515505
+0.0498913
+0.0482744
+0.0467044
+0.0451851
+0.0437065
+0.0422875
+0.0409365
+0.0396606
+0.0383116
+0.0367411
+0.0352368
+0.0338077
+0.0324636
+0.0312138
+0.0300463
+0.0289971
+0.02808
+0.0273081
+0.0266942
+0.0262306
+0.0259274
+0.0258073
+0.0258728
+0.0261152
+0.0264913
+0.0266162
+0.0262965
+0.0261433
+0.0261732
+0.0242665
+0.0221914
+0.0201408
+0.018123
+0.0161504
+0.0141214
+0.0121464
+0.0102594
+0.00851896
+0.00702872
+0.00564303
+0.00475024
+0.00440438
+0.00455104
+0.00435413
+0.00417864
+0.00380663
+0.00317113
+0.00319199
+0.00252456
+0.00109123
+-0.00037177
+-0.000280139
+3.02307e-06
+0.000181177
+0.00124152
+0.00180919
+0.00290219
+0.00327588
+0.00360039
+0.00379158
+0.00396208
+0.00443739
+0.00553685
+0.00678471
+0.00750514
+0.00811854
+0.00878628
+0.0095124
+0.0103098
+0.0112524
+0.0123164
+0.0134735
+0.0146976
+0.016038
+0.0174828
+0.0189478
+0.0205013
+0.0221382
+0.0238623
+0.0256578
+0.0275105
+0.0294098
+0.0313383
+0.0332972
+0.0352834
+0.0372925
+0.039321
+0.06853
+0.0673143
+0.0661367
+0.0649525
+0.0637994
+0.0626427
+0.0610401
+0.0591691
+0.0573208
+0.0554973
+0.0537004
+0.0519252
+0.0501827
+0.0484767
+0.046811
+0.0451901
+0.0436181
+0.0420997
+0.0406316
+0.0392237
+0.0378901
+0.0366391
+0.0352201
+0.0336479
+0.0321482
+0.0307316
+0.0294101
+0.0281858
+0.0270646
+0.0260796
+0.0252467
+0.0245814
+0.0240855
+0.023755
+0.0236239
+0.0236954
+0.0239541
+0.0243646
+0.0244738
+0.0241307
+0.0239637
+0.0239963
+0.0236633
+0.0215427
+0.0194378
+0.0173401
+0.0152666
+0.013231
+0.0112537
+0.00931157
+0.00734737
+0.00555522
+0.00411527
+0.00302587
+0.00266089
+0.00256709
+0.00249447
+0.00204231
+0.00199804
+0.00110728
+0.00104726
+0.00148659
+0.000546104
+-8.04092e-05
+-0.000606314
+0.000155633
+0.000672756
+0.00107624
+0.00126318
+0.0016905
+0.00192954
+0.00230872
+0.00218851
+0.00214948
+0.00272272
+0.00419724
+0.00598421
+0.00797514
+0.00944556
+0.010012
+0.0107098
+0.0114102
+0.0122814
+0.0132631
+0.0143481
+0.0155433
+0.0168312
+0.0182429
+0.0197402
+0.021259
+0.0228654
+0.0245541
+0.0263024
+0.0281127
+0.0299738
+0.0318768
+0.0338147
+0.0357809
+0.0377635
+0.039768
+0.0677154
+0.0664847
+0.0653044
+0.0641647
+0.0630196
+0.0618789
+0.059954
+0.058048
+0.0561628
+0.0543005
+0.0524635
+0.0506547
+0.0488748
+0.0471215
+0.0454061
+0.0437332
+0.0421068
+0.0405318
+0.0390163
+0.0375605
+0.0361657
+0.0348529
+0.0336316
+0.0321263
+0.0305552
+0.0290616
+0.0276604
+0.0263635
+0.0251744
+0.0241123
+0.0232089
+0.0224834
+0.0219495
+0.0215863
+0.0214418
+0.0215206
+0.0217964
+0.0222503
+0.0223409
+0.0219698
+0.0217862
+0.0218221
+0.0220419
+0.0210728
+0.0189157
+0.0167671
+0.0146312
+0.0125141
+0.0104153
+0.00834646
+0.00635978
+0.00451001
+0.00270645
+0.00148063
+0.00102394
+0.000635416
+0.000583343
+9.46804e-05
+-0.000102429
+-0.000347344
+-0.000167818
+6.76174e-05
+-0.000259667
+-0.000387929
+-0.000290725
+-0.000381282
+4.12935e-05
+0.000785152
+0.00141897
+0.00163129
+0.00163233
+0.0019514
+0.00149423
+0.00122317
+0.00183685
+0.00351052
+0.00552429
+0.00763609
+0.00978264
+0.0114737
+0.012098
+0.0127389
+0.0135532
+0.0144692
+0.0154747
+0.0165954
+0.0178417
+0.0191957
+0.0206735
+0.0221875
+0.0237501
+0.025388
+0.027104
+0.0288689
+0.0306842
+0.0325458
+0.034446
+0.036379
+0.0383396
+0.040324
+0.0669625
+0.0657178
+0.0645234
+0.0633823
+0.0622845
+0.0608834
+0.0589294
+0.0569891
+0.0550676
+0.053167
+0.0512894
+0.0494377
+0.0476147
+0.045824
+0.0440653
+0.0423395
+0.0406574
+0.039024
+0.0374475
+0.0359353
+0.0344926
+0.0331152
+0.0318273
+0.0306421
+0.0290329
+0.0274596
+0.0259758
+0.0245922
+0.0233267
+0.022187
+0.0212017
+0.0204049
+0.0198194
+0.0194225
+0.0192618
+0.0193495
+0.019646
+0.0201523
+0.02022
+0.0198155
+0.0196117
+0.0196516
+0.0198919
+0.0203589
+0.0185705
+0.0164046
+0.0142463
+0.0120903
+0.00991497
+0.00774823
+0.00560017
+0.0034935
+0.00149291
+0.000100507
+-0.000853921
+-0.00128599
+-0.00154461
+-0.00183031
+-0.00215931
+-0.00183796
+-0.000943506
+-0.00056883
+0.000135913
+-0.000294649
+-0.000217225
+0.000231917
+0.000713513
+0.00112245
+0.00150986
+0.00215482
+0.00218147
+0.00272247
+0.00234083
+0.00196794
+0.00234983
+0.00385947
+0.00575235
+0.00780267
+0.00991323
+0.0120457
+0.0136403
+0.014277
+0.015007
+0.015841
+0.0167878
+0.0178555
+0.0190194
+0.0203251
+0.0217408
+0.0232409
+0.0247791
+0.0263702
+0.0280262
+0.0297514
+0.0315311
+0.0333454
+0.0352026
+0.0370961
+0.0390208
+0.0409721
+0.0662456
+0.0650156
+0.0638081
+0.062654
+0.0615562
+0.0599484
+0.0579629
+0.0559926
+0.0540391
+0.0521009
+0.0501836
+0.0482894
+0.0464214
+0.0445828
+0.0427773
+0.0410094
+0.0392768
+0.0375834
+0.0359438
+0.0343657
+0.0328574
+0.0314262
+0.0300745
+0.0288172
+0.0276008
+0.0259407
+0.0243646
+0.0228899
+0.0215285
+0.0203085
+0.0192345
+0.0183525
+0.0176992
+0.0172654
+0.0170845
+0.0171833
+0.0175057
+0.0180656
+0.0181141
+0.0176673
+0.0174413
+0.0174862
+0.0177518
+0.0182709
+0.0183033
+0.0161368
+0.0139778
+0.0117961
+0.00961451
+0.00743831
+0.00527333
+0.00312342
+0.000964404
+-0.000774832
+-0.00245433
+-0.00338459
+-0.00372465
+-0.00393454
+-0.00369871
+-0.00300346
+-0.00235816
+-0.00139439
+-0.000565288
+6.56938e-06
+9.02879e-05
+0.000165759
+0.000369434
+0.000974278
+0.00149784
+0.00198784
+0.00176664
+0.00232482
+0.00222103
+0.00226794
+0.00308531
+0.00459262
+0.00644059
+0.0084539
+0.010446
+0.0124943
+0.014584
+0.0159109
+0.0166038
+0.0173815
+0.0182481
+0.0192629
+0.0203654
+0.0215898
+0.0229585
+0.0243928
+0.0259246
+0.0274758
+0.0290844
+0.0307503
+0.0324785
+0.034258
+0.0360764
+0.0379264
+0.0398109
+0.0417254
+0.065569
+0.0643264
+0.0631354
+0.0619945
+0.0608849
+0.0590799
+0.0570641
+0.0550617
+0.0530741
+0.0511032
+0.0491505
+0.0472149
+0.0453026
+0.0434166
+0.0415605
+0.0397385
+0.0379555
+0.0362173
+0.0345137
+0.032867
+0.0312871
+0.0297837
+0.0283666
+0.0270467
+0.025828
+0.0245236
+0.02285
+0.0212706
+0.0198078
+0.0184764
+0.0173186
+0.0163361
+0.0155986
+0.0151181
+0.0149111
+0.0150135
+0.0153795
+0.0159937
+0.016031
+0.0155266
+0.0152767
+0.0153219
+0.0156227
+0.0162101
+0.0170139
+0.0158913
+0.0137256
+0.0115692
+0.00938404
+0.00719995
+0.00502161
+0.00285143
+0.000705105
+-0.00136811
+-0.00330324
+-0.00472464
+-0.0048655
+-0.00444643
+-0.0037295
+-0.00303258
+-0.00244706
+-0.00169192
+-0.000851737
+-0.000865445
+0.000477574
+0.00105175
+0.00127262
+0.00169368
+0.00235235
+0.00270885
+0.00228894
+0.00249065
+0.00213941
+0.00191545
+0.0026766
+0.00423889
+0.00616993
+0.00823201
+0.0103471
+0.0124883
+0.0146441
+0.016809
+0.018308
+0.0190367
+0.019843
+0.0207801
+0.0218361
+0.0229941
+0.0242837
+0.0256802
+0.0271395
+0.0286897
+0.0302496
+0.0318668
+0.0335375
+0.0352653
+0.0370392
+0.0388555
+0.0407038
+0.0425781
+0.0648889
+0.0637006
+0.0624982
+0.06135
+0.0602595
+0.0582808
+0.0562364
+0.0542034
+0.0521831
+0.0501772
+0.0481874
+0.0462157
+0.0442641
+0.0423318
+0.040426
+0.0385504
+0.0367097
+0.0349095
+0.0331563
+0.0314496
+0.0297946
+0.0282127
+0.0267157
+0.0253164
+0.0240356
+0.0228677
+0.0214526
+0.0197617
+0.0181779
+0.0167307
+0.0154425
+0.0143709
+0.0135266
+0.0129852
+0.0127437
+0.0128485
+0.0132743
+0.0139416
+0.0139808
+0.0134021
+0.0131202
+0.0131584
+0.0135074
+0.0141636
+0.015075
+0.0157522
+0.0135634
+0.0113753
+0.00918847
+0.00700407
+0.00482538
+0.00266641
+0.00057224
+-0.00116546
+-0.00199532
+-0.00368746
+-0.00446388
+-0.00384834
+-0.0035499
+-0.00296784
+-0.00217517
+-0.00119734
+-0.00034288
+0.000349069
+0.000314615
+0.00113647
+0.0016577
+0.00199871
+0.00222822
+0.00233047
+0.00322202
+0.00356559
+0.00317241
+0.0028101
+0.00336286
+0.00473715
+0.00656416
+0.00855212
+0.0106035
+0.0127016
+0.0148264
+0.016968
+0.0191207
+0.0207712
+0.0215244
+0.0224089
+0.0234002
+0.0245115
+0.0257275
+0.0270643
+0.0284713
+0.0299548
+0.0315089
+0.0330809
+0.0346992
+0.0363718
+0.038097
+0.0398671
+0.0416753
+0.0435188
+0.0642565
+0.0630571
+0.0619111
+0.0607731
+0.0596338
+0.057554
+0.0554828
+0.0534212
+0.0513702
+0.0493312
+0.0473058
+0.0452958
+0.0433033
+0.0413309
+0.0393807
+0.0374528
+0.0355553
+0.0336935
+0.0318734
+0.0301029
+0.0283909
+0.0267281
+0.0251442
+0.0236555
+0.0222794
+0.0210418
+0.0199493
+0.0183905
+0.016677
+0.0150875
+0.0136605
+0.0124404
+0.0114832
+0.0108586
+0.0105858
+0.0106939
+0.0112019
+0.0119379
+0.0119546
+0.0113028
+0.0109688
+0.0110056
+0.0114205
+0.0121644
+0.0131885
+0.0144333
+0.0136762
+0.0115045
+0.00934164
+0.00719562
+0.00508782
+0.00308637
+0.00137662
+0.000367296
+-0.00144361
+-0.00285468
+-0.00410153
+-0.00371349
+-0.0030135
+-0.00233301
+-0.00156494
+-0.000739205
+4.84489e-05
+0.000357956
+0.00141687
+0.00136083
+0.00171873
+0.00241856
+0.00297883
+0.00300702
+0.00337318
+0.0037452
+0.00458408
+0.004395
+0.00482083
+0.00595912
+0.00749676
+0.00929769
+0.0112379
+0.0132564
+0.015321
+0.0174036
+0.0195083
+0.0216301
+0.0232797
+0.0241269
+0.0250518
+0.0261009
+0.027271
+0.0285356
+0.0299045
+0.0313202
+0.0328212
+0.0343761
+0.0359563
+0.0375736
+0.039246
+0.0409673
+0.0427316
+0.0445322
+0.0636795
+0.0624756
+0.0613263
+0.060228
+0.0589991
+0.0568992
+0.0548063
+0.0527185
+0.050639
+0.0485694
+0.0465108
+0.0444649
+0.0424334
+0.0404185
+0.0384229
+0.0364497
+0.0345016
+0.0325795
+0.0306935
+0.0288506
+0.0270596
+0.0253315
+0.0236699
+0.022084
+0.0206067
+0.0192619
+0.0180833
+0.0170943
+0.015343
+0.0135984
+0.0120011
+0.0106066
+0.00949828
+0.00873405
+0.00841225
+0.00855769
+0.00918468
+0.0100129
+0.00996505
+0.00924241
+0.00883456
+0.00887131
+0.00937475
+0.0102428
+0.0113939
+0.0128144
+0.0140897
+0.0119936
+0.00992036
+0.00790399
+0.00601089
+0.00431014
+0.00291519
+0.00107809
+-0.000873657
+-0.00263908
+-0.00323032
+-0.00302309
+-0.0024411
+-0.00173468
+-0.000929194
+-0.000449743
+-0.000122785
+0.000845582
+0.0015391
+0.00201157
+0.0023281
+0.002629
+0.00339196
+0.00437945
+0.00403914
+0.00409122
+0.00467542
+0.00591535
+0.00668566
+0.00755368
+0.00888227
+0.0104479
+0.0122067
+0.014087
+0.0160463
+0.0180589
+0.0201087
+0.0221855
+0.0242758
+0.0259029
+0.0267794
+0.0277716
+0.0288805
+0.0300945
+0.0313982
+0.0327752
+0.0342124
+0.0357262
+0.0372803
+0.0388618
+0.040481
+0.0421519
+0.0438686
+0.0456259
+0.0630974
+0.0619595
+0.0608004
+0.0596993
+0.0584364
+0.0563155
+0.0542001
+0.0520909
+0.0499887
+0.0478945
+0.0458068
+0.043728
+0.0416606
+0.0396064
+0.0375677
+0.0355471
+0.0335478
+0.031574
+0.0296288
+0.0277152
+0.0258456
+0.0240304
+0.0222827
+0.0206198
+0.019036
+0.017575
+0.0162747
+0.0151806
+0.0141788
+0.012309
+0.0105313
+0.00892269
+0.00758853
+0.00665262
+0.00625046
+0.0064581
+0.00726661
+0.00818391
+0.00794468
+0.00720416
+0.00673671
+0.0067732
+0.00737894
+0.00839758
+0.00976253
+0.0113554
+0.0130845
+0.012774
+0.0108503
+0.00904365
+0.00728724
+0.00518909
+0.00321158
+0.00133141
+-0.000733373
+-0.00225736
+-0.00277598
+-0.0025831
+-0.00234253
+-0.00182006
+-0.00158348
+-0.00115406
+-0.000333743
+0.000448011
+0.000743126
+0.00173772
+0.00272846
+0.00357308
+0.0039519
+0.00513144
+0.00529216
+0.00509283
+0.00553587
+0.00658935
+0.00804367
+0.00938975
+0.0104915
+0.0118939
+0.0134652
+0.0151906
+0.0170234
+0.0189323
+0.0208967
+0.0229021
+0.0249387
+0.0269995
+0.0285706
+0.0295104
+0.0305563
+0.0317192
+0.0329674
+0.0342899
+0.035684
+0.0371379
+0.0386611
+0.0402135
+0.0417945
+0.0434148
+0.0450834
+0.0467951
+0.0625592
+0.0614292
+0.0603495
+0.0592387
+0.0578263
+0.0558016
+0.0536765
+0.0515459
+0.0494205
+0.0473012
+0.0451886
+0.0430838
+0.0409881
+0.0389009
+0.0368232
+0.0347593
+0.0327119
+0.0306843
+0.0286807
+0.0267065
+0.0247663
+0.0228655
+0.0210212
+0.0192497
+0.0175729
+0.0160058
+0.0145661
+0.0133325
+0.012361
+0.0112511
+0.00930907
+0.00748965
+0.00586511
+0.00467095
+0.0041193
+0.00444302
+0.00546736
+0.00653534
+0.00603626
+0.00511248
+0.00470764
+0.00475927
+0.00550478
+0.00675075
+0.00833275
+0.0101077
+0.012014
+0.0138086
+0.0119452
+0.00984385
+0.0077894
+0.00573674
+0.00364842
+0.00148402
+-0.000566904
+-0.000959582
+-0.00068261
+-0.000490615
+-0.000360526
+-0.000693248
+-0.000926706
+-0.000834503
+0.000119558
+0.000415551
+0.00037025
+0.00188372
+0.00269501
+0.00375646
+0.00520458
+0.00617446
+0.00682552
+0.00661473
+0.00695153
+0.00782412
+0.00908283
+0.0106479
+0.0122782
+0.0135011
+0.0149406
+0.0165125
+0.0182127
+0.0200085
+0.0218764
+0.0237994
+0.0257652
+0.0277647
+0.0297911
+0.0313052
+0.0322938
+0.0333963
+0.0346021
+0.0358663
+0.0372113
+0.0386223
+0.0400892
+0.0416123
+0.0431697
+0.0447494
+0.04637
+0.0475566
+0.0620938
+0.060955
+0.0598749
+0.0588417
+0.0570627
+0.0550099
+0.0529682
+0.0509388
+0.0489233
+0.0468029
+0.0446668
+0.0425362
+0.040412
+0.0382935
+0.0361836
+0.0340838
+0.0319963
+0.0299234
+0.0278687
+0.025835
+0.0238265
+0.021853
+0.0199214
+0.0180422
+0.0162412
+0.0145476
+0.0129965
+0.0115973
+0.0104727
+0.00967733
+0.00840414
+0.00638537
+0.00445738
+0.00284151
+0.00208213
+0.00258765
+0.00394179
+0.00517501
+0.0043258
+0.00305593
+0.00262306
+0.00286761
+0.00380377
+0.00535782
+0.00719698
+0.00916487
+0.0112112
+0.0132927
+0.0124367
+0.0103645
+0.00832673
+0.00621859
+0.00417702
+0.00226612
+0.0005945
+0.00059747
+0.00113847
+0.00127333
+0.0013909
+0.000951511
+0.000638365
+0.000692542
+0.00135907
+0.00124281
+0.00118872
+0.00246678
+0.00328872
+0.00409551
+0.00553029
+0.00660809
+0.0079425
+0.00840418
+0.00863504
+0.00938594
+0.010483
+0.0118648
+0.0134629
+0.0152094
+0.0165348
+0.0180027
+0.0195757
+0.0212567
+0.0230236
+0.024858
+0.0267461
+0.0286772
+0.0306433
+0.0326381
+0.0340836
+0.0351299
+0.0362785
+0.0375045
+0.0387927
+0.0401592
+0.0415836
+0.0430539
+0.0439768
+0.0449192
+0.0459467
+0.0470413
+0.0616884
+0.0605565
+0.0594691
+0.0584436
+0.056374
+0.0542951
+0.0522254
+0.050166
+0.0481182
+0.0460835
+0.0440638
+0.0420612
+0.0399429
+0.0378027
+0.0356646
+0.0335324
+0.0314082
+0.0292938
+0.0271914
+0.0251042
+0.0230362
+0.0209932
+0.018983
+0.0170175
+0.0151112
+0.0132741
+0.0115609
+0.0100267
+0.00870169
+0.00775715
+0.00730736
+0.00572569
+0.0035907
+0.00150638
+4.94921e-05
+0.00106809
+0.00279977
+0.00427822
+0.00294851
+0.00123158
+0.000501411
+0.0013652
+0.00262328
+0.00446121
+0.00651378
+0.0086345
+0.0107732
+0.0129036
+0.0131059
+0.0110799
+0.00907415
+0.00713567
+0.00532914
+0.00363281
+0.00242365
+0.0024284
+0.00284525
+0.00315257
+0.00301888
+0.00270561
+0.00261715
+0.00287693
+0.00330832
+0.00324145
+0.00318236
+0.00398177
+0.00459172
+0.0052105
+0.00644745
+0.00761369
+0.00881906
+0.0103078
+0.010507
+0.0111323
+0.0121194
+0.0133329
+0.0147731
+0.0163805
+0.0181106
+0.0195848
+0.021068
+0.0226484
+0.0243144
+0.0260581
+0.027865
+0.0297235
+0.0316247
+0.0335611
+0.0355271
+0.0369122
+0.038007
+0.0391937
+0.0404311
+0.0412442
+0.0419054
+0.042669
+0.0435295
+0.0444796
+0.0455017
+0.0465831
+0.0613274
+0.0601976
+0.0591273
+0.0578718
+0.0557628
+0.0536603
+0.0515651
+0.0494782
+0.0474007
+0.0453338
+0.0432791
+0.0412384
+0.0392139
+0.0372083
+0.0352234
+0.0331
+0.0309524
+0.0288113
+0.0266769
+0.0245465
+0.0224272
+0.020323
+0.0182391
+0.0161835
+0.0141685
+0.0122141
+0.0103507
+0.00863591
+0.00712554
+0.00596265
+0.00541661
+0.00556687
+0.00352715
+0.00141288
+-0.000385959
+0.000516361
+0.00239121
+0.00390874
+0.00201204
+-5.85187e-05
+-0.0009542
+0.00084287
+0.00233143
+0.0042406
+0.00632674
+0.0084653
+0.0106068
+0.012765
+0.0139356
+0.0120274
+0.0101612
+0.00837377
+0.00672583
+0.00532611
+0.00451641
+0.00454772
+0.00481428
+0.00510304
+0.00491501
+0.0047256
+0.00477243
+0.00506373
+0.005377
+0.00534657
+0.00531911
+0.00588017
+0.00631556
+0.00677878
+0.00779608
+0.00899448
+0.0100455
+0.0114246
+0.0124831
+0.0130138
+0.0138741
+0.0149786
+0.0162738
+0.0177458
+0.0193542
+0.021068
+0.0226479
+0.0241417
+0.0257273
+0.0273811
+0.029106
+0.03089
+0.0327234
+0.0345984
+0.0365086
+0.0384487
+0.0395367
+0.0398721
+0.040324
+0.0408845
+0.0415514
+0.0423213
+0.0431647
+0.0440715
+0.0450666
+0.0461443
+0.0610307
+0.059898
+0.0588222
+0.0573604
+0.0552318
+0.0531083
+0.0509904
+0.048879
+0.0467749
+0.0446791
+0.0425928
+0.0405176
+0.0384551
+0.0364077
+0.0343767
+0.0323639
+0.0303755
+0.0284125
+0.0263016
+0.0241456
+0.0219964
+0.0198563
+0.0177285
+0.0156143
+0.013515
+0.0114495
+0.00943642
+0.0075158
+0.00578073
+0.00439317
+0.00368964
+0.00392156
+0.00434308
+0.00264514
+0.00164916
+0.00185558
+0.00278314
+0.00397246
+0.0022071
+0.000517654
+0.000494668
+0.00184863
+0.00301303
+0.00472884
+0.00667857
+0.00872454
+0.0108189
+0.0129451
+0.0149845
+0.0131914
+0.011444
+0.00982202
+0.00836691
+0.00727851
+0.00665543
+0.00668699
+0.00691277
+0.00716322
+0.0069833
+0.00685131
+0.00694989
+0.00725191
+0.00748719
+0.00750021
+0.00746872
+0.00793074
+0.00825872
+0.00861812
+0.00944027
+0.0106154
+0.0115518
+0.0127692
+0.013907
+0.0149796
+0.0156796
+0.0165332
+0.0176098
+0.0188802
+0.020308
+0.0218625
+0.0235185
+0.0251871
+0.0269262
+0.0287272
+0.0304542
+0.0321635
+0.0339282
+0.03574
+0.0375922
+0.0390667
+0.0392842
+0.0396033
+0.0400352
+0.0405809
+0.0412358
+0.0419833
+0.0428031
+0.0436992
+0.0446769
+0.0457298
+0.0607474
+0.0596688
+0.0585918
+0.0569287
+0.0547834
+0.0526418
+0.0505043
+0.0483717
+0.0462445
+0.0441235
+0.0420097
+0.0399041
+0.0378082
+0.0357237
+0.0336514
+0.0315925
+0.0295522
+0.027535
+0.0255464
+0.0235899
+0.0216733
+0.0195939
+0.0174341
+0.0152831
+0.0131453
+0.0110282
+0.00892789
+0.00687062
+0.00492968
+0.00329952
+0.00234441
+0.00273172
+0.00399955
+0.00431646
+0.00344559
+0.0032809
+0.0036121
+0.00473838
+0.00359907
+0.00243087
+0.00235683
+0.00289857
+0.00403501
+0.00557298
+0.00739933
+0.0093496
+0.0113588
+0.0134094
+0.0154948
+0.0145261
+0.0129191
+0.0114381
+0.0102103
+0.00932342
+0.00881802
+0.00884186
+0.00905505
+0.00928336
+0.00910901
+0.00900821
+0.00913368
+0.00944126
+0.0096334
+0.00967051
+0.00963498
+0.0100062
+0.0103017
+0.010592
+0.0112711
+0.0122753
+0.0126512
+0.0132216
+0.0141126
+0.0152683
+0.0161706
+0.0170507
+0.0181477
+0.0194306
+0.0208652
+0.022306
+0.0238536
+0.0254957
+0.0272151
+0.0289981
+0.0308209
+0.0326868
+0.0345909
+0.0365219
+0.0384347
+0.0387463
+0.038965
+0.0392837
+0.039719
+0.040269
+0.0409086
+0.0416068
+0.0424068
+0.0432936
+0.0442593
+0.0453104
+0.0605269
+0.0594443
+0.0584238
+0.0565786
+0.0544195
+0.052263
+0.0501094
+0.0479592
+0.0458128
+0.0436709
+0.041534
+0.039403
+0.037279
+0.0351631
+0.0330557
+0.0309572
+0.028872
+0.0268037
+0.0247564
+0.0227359
+0.0207499
+0.0188065
+0.0169154
+0.0151054
+0.0131166
+0.0109888
+0.00886641
+0.00678763
+0.00480925
+0.00308871
+0.00201854
+0.00242487
+0.00381022
+0.00524758
+0.00483159
+0.00472483
+0.00500415
+0.00468946
+0.00440235
+0.00392269
+0.00384197
+0.00437062
+0.00543157
+0.00670096
+0.00829759
+0.0101056
+0.0120203
+0.014008
+0.0160484
+0.0160165
+0.0145203
+0.0132165
+0.0121678
+0.0114016
+0.0109917
+0.0110109
+0.011216
+0.0114301
+0.0112596
+0.0111783
+0.0113201
+0.0115834
+0.011796
+0.0118483
+0.0118102
+0.012115
+0.0123932
+0.0126355
+0.0125466
+0.012545
+0.0127884
+0.0133614
+0.0142437
+0.0153895
+0.0167113
+0.0176265
+0.0186897
+0.0199378
+0.0213383
+0.0228633
+0.0243769
+0.0259859
+0.0276749
+0.02943
+0.0312276
+0.0330706
+0.0349538
+0.0368658
+0.0384236
+0.0385204
+0.038741
+0.0390826
+0.0395052
+0.0399891
+0.0405856
+0.0412866
+0.0420706
+0.0429521
+0.0439253
+0.0449788
+0.0603851
+0.0592999
+0.0582769
+0.0563116
+0.0541418
+0.0519738
+0.0498077
+0.0476439
+0.0454827
+0.0433244
+0.0411696
+0.0390187
+0.0368725
+0.0347319
+0.0325966
+0.0304665
+0.0283452
+0.0262354
+0.02414
+0.0220631
+0.0200104
+0.0179904
+0.0160153
+0.0140841
+0.0122406
+0.010531
+0.00899485
+0.00728239
+0.00547195
+0.00393615
+0.00311907
+0.00336998
+0.00449139
+0.00578546
+0.00655617
+0.00523853
+0.00436792
+0.00392383
+0.00354285
+0.00380531
+0.00474778
+0.00552997
+0.00660435
+0.00790905
+0.00953585
+0.0111742
+0.0129686
+0.0148337
+0.0167776
+0.017606
+0.0162557
+0.0151024
+0.01419
+0.013515
+0.0131711
+0.013187
+0.0133867
+0.0135909
+0.0134232
+0.0133551
+0.013508
+0.0137293
+0.0139673
+0.0140301
+0.0139903
+0.0137965
+0.0133184
+0.0127894
+0.0125604
+0.0125442
+0.0128466
+0.0134429
+0.0143311
+0.0154704
+0.0168192
+0.0181231
+0.0192101
+0.0204728
+0.0218493
+0.0233012
+0.0248615
+0.0265112
+0.0282346
+0.030016
+0.0317805
+0.0335932
+0.0354486
+0.0373353
+0.0383212
+0.0384182
+0.038626
+0.0388739
+0.0392428
+0.0397254
+0.0403021
+0.040988
+0.0417776
+0.0426651
+0.0436447
+0.0447048
+0.0603004
+0.0592136
+0.0581891
+0.0561289
+0.0539518
+0.0517758
+0.0496011
+0.0474279
+0.0452563
+0.0430867
+0.0409193
+0.0387546
+0.0365929
+0.0344349
+0.03228
+0.0301275
+0.0279805
+0.0258409
+0.0237107
+0.0215925
+0.0194904
+0.0174101
+0.0153606
+0.0133349
+0.0113706
+0.00950576
+0.0077736
+0.00628532
+0.00526137
+0.00488724
+0.0048442
+0.00502289
+0.00585027
+0.00667233
+0.00646241
+0.00513092
+0.00420008
+0.00354774
+0.0032177
+0.00351192
+0.00465443
+0.00604166
+0.00733818
+0.00827776
+0.009591
+0.0111588
+0.0128992
+0.0147464
+0.016677
+0.0186651
+0.0180901
+0.0170612
+0.0162384
+0.0156497
+0.0153536
+0.0153674
+0.015563
+0.01576
+0.0155944
+0.0155357
+0.0156966
+0.0156169
+0.0147202
+0.0141094
+0.0136974
+0.0134186
+0.0133912
+0.0131297
+0.0128958
+0.0129043
+0.0131985
+0.0138017
+0.0146969
+0.0158225
+0.0171436
+0.0185259
+0.0196038
+0.0208568
+0.0222552
+0.0237641
+0.0253699
+0.0270291
+0.0287214
+0.0304773
+0.0322742
+0.0341056
+0.0359771
+0.0378828
+0.038247
+0.0383063
+0.0384317
+0.0386808
+0.0390515
+0.0395365
+0.0401159
+0.0408049
+0.041598
+0.0424418
+0.0433716
+0.0443899
+0.0602839
+0.0591996
+0.0581748
+0.0560314
+0.0538503
+0.05167
+0.0494907
+0.0473123
+0.0451352
+0.0429595
+0.0407854
+0.0386131
+0.0364431
+0.0342756
+0.0321101
+0.0299453
+0.0277843
+0.0256283
+0.0234788
+0.0213376
+0.0192076
+0.0170929
+0.0150001
+0.012918
+0.0108787
+0.00890665
+0.00703322
+0.00532268
+0.00405975
+0.00357788
+0.0041849
+0.00544595
+0.00661308
+0.00670346
+0.0058766
+0.00549716
+0.00432374
+0.00357958
+0.00324563
+0.00349162
+0.00445047
+0.00468476
+0.00529685
+0.00650291
+0.00807603
+0.0098626
+0.0117788
+0.0137771
+0.0158264
+0.0178976
+0.0199886
+0.0190706
+0.0183178
+0.017798
+0.0175382
+0.0175502
+0.0177428
+0.0179343
+0.0177704
+0.0174027
+0.0160179
+0.0148286
+0.0138833
+0.0132339
+0.0128687
+0.0128634
+0.013189
+0.0134515
+0.0133203
+0.0135007
+0.0138636
+0.0144502
+0.0153219
+0.0164129
+0.0176899
+0.0191333
+0.0202148
+0.0214321
+0.0227955
+0.0242802
+0.0258567
+0.0275142
+0.0292419
+0.0310281
+0.0328192
+0.0346217
+0.0364667
+0.0382274
+0.0381506
+0.0381995
+0.0383358
+0.0385801
+0.0389279
+0.0393947
+0.0399762
+0.0406244
+0.0413633
+0.042203
+0.0431378
+0.0441616
+0.0602925
+0.0592369
+0.0582016
+0.0560194
+0.0538378
+0.051657
+0.0494771
+0.0472981
+0.0451203
+0.0429438
+0.0407689
+0.0385957
+0.0364246
+0.034256
+0.0320891
+0.0299227
+0.0277597
+0.0256013
+0.0234488
+0.021304
+0.0191694
+0.0170488
+0.0149472
+0.0128362
+0.0107563
+0.00873092
+0.00680854
+0.00501276
+0.00364276
+0.00313554
+0.00380066
+0.0051622
+0.00643995
+0.00666228
+0.0056964
+0.00520751
+0.00496707
+0.00399694
+0.00348065
+0.00338385
+0.00266689
+0.00257502
+0.00343186
+0.00500739
+0.00688098
+0.00890051
+0.0109704
+0.013068
+0.0151919
+0.0173325
+0.0194842
+0.0211038
+0.0204205
+0.0199555
+0.0197242
+0.0197349
+0.019925
+0.0199382
+0.0184183
+0.0169559
+0.0155359
+0.0143071
+0.0133274
+0.0126235
+0.0122319
+0.0122264
+0.0126074
+0.0133006
+0.0135466
+0.0137241
+0.014147
+0.0147223
+0.015587
+0.0166706
+0.0179293
+0.0193548
+0.0209131
+0.0222096
+0.0235279
+0.0249691
+0.0265047
+0.028124
+0.0298164
+0.0315701
+0.0333756
+0.0352247
+0.0370795
+0.0381368
+0.0380599
+0.0381089
+0.0382698
+0.0385146
+0.0388629
+0.0392903
+0.0398139
+0.0404392
+0.0411717
+0.0420058
+0.0429356
+0.043955
+0.0602728
+0.0593222
+0.0582703
+0.05609
+0.0539106
+0.0517321
+0.0495546
+0.0473785
+0.0452037
+0.0430305
+0.0408591
+0.03869
+0.0365219
+0.034355
+0.0321912
+0.0300313
+0.0278762
+0.025727
+0.0235856
+0.021454
+0.0193357
+0.0172355
+0.0151602
+0.0130831
+0.0110498
+0.00908171
+0.00717651
+0.0054846
+0.00423374
+0.00379558
+0.00437477
+0.00558922
+0.006772
+0.00686231
+0.00573188
+0.00494406
+0.00475513
+0.00444232
+0.00330319
+0.00212778
+0.00121403
+0.000415481
+0.00198658
+0.0040433
+0.00616291
+0.00831935
+0.0104899
+0.0126674
+0.0148487
+0.0170324
+0.0192178
+0.0214042
+0.0225399
+0.0221195
+0.0219111
+0.0219207
+0.0209383
+0.0192488
+0.0176697
+0.0162207
+0.0149134
+0.0138314
+0.0130309
+0.0123595
+0.0119593
+0.0119536
+0.012343
+0.0130503
+0.0136569
+0.0136698
+0.0139905
+0.0146356
+0.015565
+0.0166878
+0.0180026
+0.0194757
+0.0210739
+0.0227684
+0.0242341
+0.0256957
+0.0272467
+0.0288245
+0.0304781
+0.0321959
+0.0339681
+0.0357867
+0.0376443
+0.0381541
+0.0380528
+0.0380542
+0.0381443
+0.0383594
+0.0386893
+0.0391115
+0.0396374
+0.0402654
+0.041001
+0.0418386
+0.042772
+0.0437952
+0.0602667
+0.0593348
+0.0584074
+0.0562324
+0.0540587
+0.0518865
+0.0497158
+0.047547
+0.0453803
+0.0432159
+0.0410544
+0.0388962
+0.0367403
+0.0345871
+0.0324387
+0.0302965
+0.0281616
+0.0260361
+0.0239223
+0.0218237
+0.0197451
+0.0176935
+0.0156749
+0.0136559
+0.0116984
+0.00983168
+0.00810199
+0.00664988
+0.00564428
+0.00527064
+0.00566258
+0.00666198
+0.00754965
+0.00713191
+0.00592585
+0.00507632
+0.00463054
+0.00402541
+0.00282115
+0.00150531
+0.000677883
+3.16033e-06
+0.0017519
+0.00390037
+0.00607902
+0.00826401
+0.0104514
+0.0126392
+0.0148247
+0.0170115
+0.0191992
+0.0213875
+0.0235763
+0.0242883
+0.023633
+0.0220914
+0.0204586
+0.0187909
+0.0171697
+0.0156549
+0.014296
+0.0131633
+0.0123194
+0.0118104
+0.0116453
+0.0118763
+0.012344
+0.012734
+0.0134129
+0.0137448
+0.0140637
+0.0147056
+0.0156308
+0.0167775
+0.0180858
+0.0195526
+0.021145
+0.0228342
+0.0246008
+0.0263244
+0.0278073
+0.0293549
+0.0309802
+0.0326716
+0.0344194
+0.0362153
+0.0380527
+0.0381007
+0.0379992
+0.0379961
+0.0380863
+0.0383017
+0.0386321
+0.0390549
+0.0395815
+0.0402105
+0.0409253
+0.0417421
+0.0426559
+0.0436606
+0.0603105
+0.0593927
+0.0585258
+0.0564596
+0.054295
+0.0521325
+0.0499726
+0.0478154
+0.0456614
+0.0435111
+0.041365
+0.0392238
+0.037087
+0.0349552
+0.0328309
+0.030716
+0.0286125
+0.0265231
+0.0244514
+0.0224024
+0.0203829
+0.0183922
+0.0164149
+0.014499
+0.0126725
+0.0109621
+0.00944188
+0.00821562
+0.00734713
+0.00706414
+0.00734384
+0.00814018
+0.00867322
+0.0077896
+0.00663332
+0.00523739
+0.00371043
+0.00273063
+0.0026786
+0.00199081
+0.00158329
+0.00204043
+0.0030223
+0.00471599
+0.00663189
+0.00867879
+0.0107823
+0.0129148
+0.0150641
+0.0172237
+0.0193903
+0.0215618
+0.0237368
+0.0243795
+0.0228659
+0.0214589
+0.0197351
+0.0180764
+0.0165203
+0.0151222
+0.0139237
+0.0128266
+0.011959
+0.0114162
+0.0112323
+0.0114716
+0.0118898
+0.0123164
+0.0130165
+0.0135774
+0.014078
+0.0148666
+0.0159199
+0.0171006
+0.0183957
+0.0198487
+0.0214275
+0.0231063
+0.0248556
+0.0266683
+0.0282523
+0.0298701
+0.0315571
+0.033285
+0.0350021
+0.0367696
+0.0383601
+0.0381214
+0.0380008
+0.0380016
+0.0381153
+0.0383421
+0.0386293
+0.0390046
+0.039498
+0.0401051
+0.0408209
+0.0416398
+0.0425439
+0.0435298
+0.0603027
+0.0594819
+0.0586562
+0.0567704
+0.0546181
+0.052469
+0.0503235
+0.048182
+0.0460452
+0.0439136
+0.0417882
+0.0396699
+0.0375585
+0.035455
+0.0333626
+0.0312836
+0.029221
+0.0271784
+0.0251608
+0.0231746
+0.021214
+0.0192772
+0.0174007
+0.0156033
+0.0139013
+0.0123543
+0.0110277
+0.00994862
+0.0092444
+0.00902113
+0.00924108
+0.00966812
+0.0100726
+0.0084181
+0.00644046
+0.00452171
+0.00279396
+0.00159255
+0.00161219
+0.00260576
+0.00333988
+0.00368488
+0.00474839
+0.00611253
+0.00776792
+0.00958891
+0.0115275
+0.0135432
+0.0156061
+0.0176998
+0.0198144
+0.0219439
+0.0240844
+0.0238388
+0.0222885
+0.0207158
+0.019179
+0.017447
+0.0158291
+0.0143639
+0.0130962
+0.0120821
+0.0113711
+0.0110051
+0.0110607
+0.0114668
+0.0118081
+0.0122375
+0.0129418
+0.0135107
+0.0140751
+0.0148639
+0.0159173
+0.0171696
+0.018595
+0.0201582
+0.0218295
+0.0235424
+0.0252706
+0.027066
+0.0287718
+0.0303619
+0.032023
+0.0337446
+0.0355179
+0.0373355
+0.038448
+0.0381984
+0.0380733
+0.0380741
+0.038187
+0.0383504
+0.0386042
+0.0389587
+0.0394291
+0.040014
+0.0407086
+0.0415074
+0.0424043
+0.0433935
+0.0603662
+0.0595463
+0.0587965
+0.0571635
+0.0550266
+0.0528941
+0.0507666
+0.0486446
+0.046529
+0.0444207
+0.0423208
+0.0402305
+0.0381501
+0.0360811
+0.0340273
+0.0319915
+0.0299777
+0.0279904
+0.0260357
+0.0241037
+0.0222029
+0.0203604
+0.0185832
+0.0168974
+0.0153397
+0.013953
+0.0127626
+0.0118344
+0.0112488
+0.0110661
+0.0112455
+0.0113552
+0.00996829
+0.00780541
+0.00566393
+0.00355606
+0.00155575
+-8.19361e-06
+0.000761972
+0.00239323
+0.00384463
+0.00560879
+0.00641539
+0.00762947
+0.00913496
+0.0108328
+0.0126138
+0.0144791
+0.0164249
+0.0184257
+0.0204654
+0.0225335
+0.0246228
+0.0234581
+0.0217477
+0.020078
+0.0185094
+0.0170203
+0.0154207
+0.0139126
+0.0125996
+0.0115419
+0.0107954
+0.0104092
+0.0104679
+0.0108961
+0.0115275
+0.0122589
+0.012664
+0.0133756
+0.0143645
+0.0151807
+0.0162136
+0.0174446
+0.0188492
+0.0203929
+0.0220464
+0.0237713
+0.0255604
+0.0274078
+0.0293026
+0.0309727
+0.0326027
+0.0342952
+0.0360414
+0.0378339
+0.0386441
+0.0383957
+0.0382712
+0.0382319
+0.0382266
+0.0383321
+0.038562
+0.038914
+0.039385
+0.0399706
+0.0406659
+0.0414655
+0.0423633
+0.0433534
+0.060509
+0.059691
+0.0589431
+0.0576373
+0.0555186
+0.0534058
+0.0512994
+0.0492005
+0.0471099
+0.0450288
+0.0429586
+0.0409009
+0.0388564
+0.0368272
+0.0348173
+0.0328306
+0.0308715
+0.0289457
+0.0270397
+0.0251699
+0.0233541
+0.0215964
+0.0199247
+0.0183624
+0.0169399
+0.0156841
+0.0146137
+0.0138104
+0.0133121
+0.0131515
+0.0132085
+0.0120617
+0.0098725
+0.00768412
+0.00549758
+0.00331652
+0.00117089
+-0.000485632
+0.00106587
+0.00284025
+0.00443755
+0.00615457
+0.00798747
+0.00920605
+0.010531
+0.0120922
+0.0137782
+0.0155863
+0.017454
+0.0193734
+0.0213227
+0.0233148
+0.0245791
+0.0230949
+0.0213324
+0.0196243
+0.0179648
+0.0164262
+0.0150002
+0.0137562
+0.0124734
+0.011404
+0.0106479
+0.0102561
+0.0103157
+0.01075
+0.0113613
+0.0121044
+0.0125384
+0.0132568
+0.014254
+0.0153983
+0.0166228
+0.0179784
+0.0193442
+0.0208513
+0.0224711
+0.02417
+0.0259316
+0.0277544
+0.029627
+0.0315406
+0.0331874
+0.0348536
+0.0365731
+0.0383408
+0.0389347
+0.0386094
+0.0383886
+0.0382864
+0.0382782
+0.0383836
+0.0386131
+0.0389647
+0.0394351
+0.0400199
+0.0407144
+0.0415131
+0.0423956
+0.0433674
+0.0607305
+0.0599156
+0.0591705
+0.0581898
+0.056092
+0.0540015
+0.0519194
+0.0498465
+0.0477842
+0.0457338
+0.043697
+0.0416758
+0.0396713
+0.0376859
+0.0357244
+0.0337911
+0.0318871
+0.0300082
+0.0281651
+0.0263681
+0.0246307
+0.0229708
+0.0214067
+0.0199608
+0.0186603
+0.0175004
+0.0165479
+0.015843
+0.0154105
+0.0152482
+0.0144754
+0.0123256
+0.0101932
+0.00809199
+0.00601855
+0.0040479
+0.00238943
+0.0017034
+0.00247303
+0.00402655
+0.00557499
+0.00716
+0.00881061
+0.0106382
+0.0121261
+0.0135117
+0.0150894
+0.0167631
+0.0185411
+0.02039
+0.0222848
+0.0242294
+0.0239043
+0.0225819
+0.0211341
+0.0193643
+0.0176767
+0.0161067
+0.0146224
+0.0132481
+0.0120809
+0.0112243
+0.0106846
+0.0104852
+0.0105436
+0.0109688
+0.0115611
+0.0122922
+0.0127925
+0.0134973
+0.0144779
+0.0156653
+0.0168704
+0.0182454
+0.019755
+0.0213828
+0.0230609
+0.0247301
+0.0264754
+0.0282669
+0.0301077
+0.0319926
+0.0338922
+0.0355284
+0.0372215
+0.0389642
+0.0390587
+0.0387167
+0.0384908
+0.0383703
+0.0383621
+0.0384673
+0.0386964
+0.0390472
+0.0395166
+0.0401003
+0.0407934
+0.0415905
+0.0424672
+0.0434335
+0.0610299
+0.060219
+0.0594778
+0.0588088
+0.0567441
+0.0546786
+0.0526233
+0.0505793
+0.0485481
+0.0465314
+0.0445311
+0.0425495
+0.0405873
+0.0386444
+0.0367294
+0.0348469
+0.0330006
+0.0311792
+0.0293997
+0.0276791
+0.0260293
+0.0244645
+0.0230022
+0.021663
+0.020449
+0.0193942
+0.0185393
+0.0179129
+0.0175316
+0.017111
+0.015019
+0.0129424
+0.0109029
+0.00893525
+0.0070995
+0.00547336
+0.00430838
+0.00389241
+0.00434363
+0.00555205
+0.00699797
+0.00838475
+0.0100005
+0.0116801
+0.0134774
+0.0151098
+0.0165357
+0.0181149
+0.0197829
+0.0215344
+0.0233601
+0.0247784
+0.0233001
+0.0219413
+0.0207254
+0.0191126
+0.0175628
+0.0160027
+0.0144723
+0.0130637
+0.011879
+0.0110071
+0.0104692
+0.0103432
+0.0106752
+0.0111981
+0.0119466
+0.0123412
+0.0129242
+0.0136018
+0.0145779
+0.0157969
+0.0171664
+0.0186832
+0.0202027
+0.0217971
+0.0234878
+0.0252555
+0.0270719
+0.0289198
+0.0307325
+0.0325859
+0.0344745
+0.03632
+0.0379779
+0.0396875
+0.0392871
+0.0389388
+0.0386959
+0.038576
+0.0385614
+0.038666
+0.038894
+0.039243
+0.0397101
+0.0402763
+0.0409438
+0.0416886
+0.0425163
+0.0434388
+0.0614051
+0.0605992
+0.0598627
+0.0591981
+0.0574724
+0.0554341
+0.0534078
+0.051395
+0.0493974
+0.0474168
+0.045453
+0.0435068
+0.0415849
+0.0396909
+0.0378289
+0.0360039
+0.0342053
+0.0324437
+0.0307374
+0.0290961
+0.0275313
+0.0260569
+0.0246891
+0.0234363
+0.0223077
+0.0213449
+0.0205712
+0.0200085
+0.0196679
+0.0178141
+0.015796
+0.0138305
+0.0119436
+0.0101792
+0.00856752
+0.00725628
+0.0063626
+0.00608205
+0.00640932
+0.00729956
+0.00863787
+0.00988955
+0.0113097
+0.0129325
+0.0146385
+0.0164083
+0.0181041
+0.0195766
+0.0211615
+0.0225744
+0.023899
+0.0243927
+0.0228895
+0.0215047
+0.0202622
+0.0186607
+0.0170156
+0.0155059
+0.0141752
+0.0130117
+0.0120166
+0.0111558
+0.0106283
+0.0105042
+0.0108159
+0.0113469
+0.012145
+0.0124765
+0.0130892
+0.013792
+0.0147555
+0.0159611
+0.0173604
+0.0188714
+0.0204964
+0.0222188
+0.0240176
+0.025794
+0.0275749
+0.0294094
+0.0312898
+0.0332082
+0.0351509
+0.0370473
+0.0388204
+0.0399557
+0.0394864
+0.0391244
+0.0388827
+0.0387634
+0.0387678
+0.0388782
+0.0391049
+0.0394313
+0.0398419
+0.0403519
+0.0409729
+0.0416999
+0.0425274
+0.0434496
+0.0618348
+0.0610415
+0.0603104
+0.0596508
+0.058274
+0.0562648
+0.0542695
+0.0522899
+0.0503251
+0.0483765
+0.0464495
+0.0445468
+0.0426718
+0.0408282
+0.0390205
+0.0372431
+0.0354972
+0.033803
+0.0321689
+0.0306045
+0.0291209
+0.0277311
+0.0264487
+0.0252652
+0.0242219
+0.0233382
+0.0226328
+0.0221226
+0.0206917
+0.0187275
+0.0168193
+0.0149886
+0.0132657
+0.0116638
+0.0102809
+0.00920461
+0.00848536
+0.00827206
+0.00852103
+0.00923163
+0.0103391
+0.0115966
+0.0128451
+0.0143034
+0.0159231
+0.017636
+0.019318
+0.0207775
+0.0219817
+0.0231421
+0.0244363
+0.0241704
+0.0226524
+0.0212522
+0.0199083
+0.0184092
+0.0167393
+0.0152023
+0.0137788
+0.0125748
+0.0116324
+0.0109964
+0.0107285
+0.0108322
+0.0111656
+0.0117196
+0.0123541
+0.0128163
+0.013575
+0.0143188
+0.015249
+0.0164184
+0.0177819
+0.019282
+0.0208751
+0.0225686
+0.0243415
+0.0261778
+0.028065
+0.0299935
+0.0318769
+0.033762
+0.0355545
+0.0372126
+0.0389233
+0.0402559
+0.0397804
+0.0394211
+0.0391586
+0.0390164
+0.0389622
+0.0390181
+0.0391966
+0.039496
+0.0399109
+0.0404204
+0.0410403
+0.0417661
+0.0425923
+0.0435132
+0.0622558
+0.0615053
+0.0608176
+0.0601798
+0.059146
+0.0571673
+0.0552019
+0.0532515
+0.0513205
+0.0494111
+0.047526
+0.0456683
+0.0438412
+0.0420489
+0.0402902
+0.0385577
+0.0368741
+0.0352462
+0.0336822
+0.0321913
+0.0307843
+0.0294731
+0.0282528
+0.0271476
+0.0261795
+0.0253641
+0.0247166
+0.0236251
+0.0217053
+0.0198417
+0.0180517
+0.0163531
+0.0147608
+0.0133393
+0.0121486
+0.0112179
+0.0106357
+0.0104623
+0.0106642
+0.0112588
+0.0121834
+0.0134054
+0.0145493
+0.0158516
+0.0173338
+0.0189483
+0.0204335
+0.0217354
+0.0227375
+0.0238715
+0.0250973
+0.0241415
+0.0226217
+0.0211472
+0.0197079
+0.0183419
+0.0167159
+0.0151204
+0.0136878
+0.0124772
+0.0114837
+0.010839
+0.0105671
+0.0106723
+0.0110106
+0.0116487
+0.0124384
+0.0128992
+0.0136975
+0.014744
+0.0158169
+0.0170564
+0.0184554
+0.0199118
+0.0214581
+0.0231089
+0.0248434
+0.0266451
+0.0285014
+0.0304022
+0.0323397
+0.0339062
+0.0355061
+0.0371663
+0.0388791
+0.0405989
+0.0401102
+0.0396966
+0.0393876
+0.0391989
+0.0391321
+0.0391878
+0.0393655
+0.0396611
+0.0400538
+0.0405612
+0.041179
+0.0419024
+0.042726
+0.0436237
+0.0627505
+0.062006
+0.061324
+0.060706
+0.0600822
+0.0581304
+0.0561963
+0.0542816
+0.0523886
+0.0505196
+0.0486775
+0.0468653
+0.0450868
+0.0433445
+0.0416239
+0.0399493
+0.0383268
+0.0367633
+0.0352666
+0.0338456
+0.0325103
+0.0312619
+0.0301079
+0.0290733
+0.0281715
+0.0274154
+0.0265959
+0.0247127
+0.0228843
+0.021125
+0.0194437
+0.0178582
+0.0164126
+0.0151468
+0.0141024
+0.0132875
+0.0127997
+0.0126528
+0.0128228
+0.0133354
+0.0141269
+0.0151935
+0.0163376
+0.0175373
+0.0188877
+0.0203845
+0.0215959
+0.0226973
+0.023631
+0.0247241
+0.0258618
+0.0243054
+0.0227319
+0.0211729
+0.0197228
+0.0181034
+0.0166006
+0.0152608
+0.0139107
+0.0127214
+0.0117489
+0.0111196
+0.0108547
+0.0109572
+0.0112869
+0.0119102
+0.0128203
+0.0133442
+0.0141176
+0.0151365
+0.0163546
+0.0175562
+0.0189358
+0.0204575
+0.0220919
+0.0238002
+0.025524
+0.0272808
+0.0290965
+0.0309608
+0.0324706
+0.033997
+0.0355928
+0.0372491
+0.0389583
+0.0407136
+0.0404069
+0.0399836
+0.0396769
+0.0394895
+0.0394092
+0.039441
+0.0395942
+0.0398674
+0.0402581
+0.040763
+0.0413778
+0.0420977
+0.042911
+0.0438093
+0.0633172
+0.0625795
+0.0619038
+0.0612917
+0.0607524
+0.0591567
+0.0572572
+0.0553792
+0.053525
+0.0516972
+0.0498985
+0.0481324
+0.0464025
+0.0446944
+0.0430278
+0.04141
+0.0398471
+0.0383456
+0.0369131
+0.035558
+0.0342869
+0.0330934
+0.0320054
+0.0310342
+0.030191
+0.0294867
+0.0277401
+0.0259401
+0.0242046
+0.0225363
+0.0209558
+0.0194937
+0.0181786
+0.0170445
+0.0160994
+0.0153906
+0.0149715
+0.0148433
+0.0149884
+0.0154338
+0.0161339
+0.0170756
+0.0182125
+0.0193101
+0.0205579
+0.0218859
+0.0229094
+0.0237939
+0.0246772
+0.0257141
+0.0262461
+0.0245811
+0.0229548
+0.0214121
+0.0197583
+0.0181284
+0.0166279
+0.0152699
+0.0140655
+0.0131025
+0.0123969
+0.0118022
+0.011549
+0.0116541
+0.0119647
+0.0125543
+0.0132327
+0.0136644
+0.0143589
+0.0153348
+0.0164953
+0.017844
+0.0193475
+0.0209723
+0.0226925
+0.0243739
+0.0261292
+0.027926
+0.0296752
+0.0312443
+0.0327123
+0.034228
+0.0358135
+0.0374601
+0.0390887
+0.0406336
+0.040793
+0.0403508
+0.0400237
+0.0398147
+0.0397256
+0.0397572
+0.0399092
+0.0401802
+0.0405679
+0.0410689
+0.0416669
+0.0423471
+0.0431281
+0.0439987
+0.0639136
+0.063222
+0.062555
+0.0619493
+0.0614159
+0.0602452
+0.0583811
+0.0565405
+0.0547257
+0.0529393
+0.0511843
+0.0494641
+0.0477685
+0.0461089
+0.0444953
+0.0429329
+0.0414274
+0.0399853
+0.0386137
+0.0373204
+0.0360978
+0.0349661
+0.0339383
+0.033024
+0.0322328
+0.0307815
+0.0290049
+0.0272884
+0.0256303
+0.0240535
+0.0225795
+0.0212295
+0.0200287
+0.0190006
+0.0181412
+0.0175152
+0.0171481
+0.0170338
+0.0171605
+0.0175532
+0.0181834
+0.0190239
+0.0200693
+0.0211484
+0.0223168
+0.0233891
+0.0242145
+0.0249764
+0.0258183
+0.0268132
+0.0263047
+0.024758
+0.0232784
+0.0217232
+0.0200061
+0.0183898
+0.0168915
+0.0155295
+0.0143282
+0.0133742
+0.0126743
+0.012259
+0.012177
+0.0124283
+0.012791
+0.0132296
+0.0135312
+0.0139657
+0.0146569
+0.0156142
+0.0167681
+0.0181089
+0.0196034
+0.0212097
+0.022912
+0.0246915
+0.0265326
+0.0283646
+0.0298828
+0.0314657
+0.0330668
+0.0345964
+0.0360934
+0.0375843
+0.0390911
+0.0406357
+0.0411863
+0.0407526
+0.0404312
+0.0402243
+0.0401362
+0.0401675
+0.0403138
+0.0405592
+0.040916
+0.0413772
+0.0419479
+0.0426237
+0.0433996
+0.0442649
+0.064475
+0.0638244
+0.0632431
+0.0626672
+0.0621495
+0.0613926
+0.0595644
+0.0577615
+0.0559863
+0.0542414
+0.05253
+0.0508455
+0.0491921
+0.0475823
+0.0460204
+0.0445115
+0.0430612
+0.0416757
+0.0403616
+0.0391169
+0.0379488
+0.036874
+0.0359008
+0.0350377
+0.0338333
+0.032076
+0.0303749
+0.0287251
+0.0271514
+0.0256682
+0.0242924
+0.0230429
+0.0219416
+0.0209889
+0.0202142
+0.0196543
+0.0193279
+0.0192244
+0.0193367
+0.0196882
+0.0202619
+0.02102
+0.0219706
+0.0230484
+0.0241249
+0.0249523
+0.0255873
+0.0262742
+0.0270758
+0.0279752
+0.0265155
+0.0249589
+0.023492
+0.0218425
+0.0202218
+0.0187065
+0.0173255
+0.0160535
+0.0148891
+0.0139456
+0.0132476
+0.0128382
+0.0127598
+0.0129405
+0.0132773
+0.0137507
+0.0141238
+0.0145406
+0.0152532
+0.016183
+0.0173036
+0.0186058
+0.0200634
+0.0216355
+0.0233068
+0.0250583
+0.0268742
+0.0287425
+0.030248
+0.0318128
+0.0333986
+0.0347793
+0.0361917
+0.0376787
+0.0391998
+0.0407402
+0.0415639
+0.0411337
+0.040813
+0.0406081
+0.0405208
+0.0405518
+0.0407009
+0.0409667
+0.0413185
+0.0417753
+0.0423406
+0.0430052
+0.0437474
+0.0445821
+0.0651054
+0.0644611
+0.0638856
+0.0633805
+0.0628971
+0.0624635
+0.0608037
+0.0590386
+0.0573029
+0.0555994
+0.0539249
+0.0522772
+0.0506706
+0.0491092
+0.0475974
+0.0461401
+0.0447427
+0.0434109
+0.0421475
+0.0409486
+0.0398343
+0.0388117
+0.0378883
+0.0368927
+0.0351519
+0.0334617
+0.0318206
+0.0302493
+0.028759
+0.0273632
+0.0260769
+0.0249171
+0.023899
+0.023014
+0.0223097
+0.0218037
+0.0215099
+0.021415
+0.0215159
+0.0218342
+0.0223558
+0.0230514
+0.0239215
+0.0249541
+0.0259758
+0.0264733
+0.0270179
+0.0276564
+0.0284022
+0.0284872
+0.0268898
+0.0253483
+0.0236629
+0.0219695
+0.0203598
+0.0188556
+0.0174853
+0.016275
+0.0152638
+0.0144567
+0.0139387
+0.0137141
+0.0136065
+0.0137743
+0.0140912
+0.0145561
+0.0149623
+0.0154077
+0.0160825
+0.016967
+0.018068
+0.0193396
+0.0207456
+0.0222697
+0.0238967
+0.0256078
+0.0273873
+0.0292228
+0.0307436
+0.0322855
+0.0336482
+0.0350186
+0.0364218
+0.0378997
+0.03943
+0.0409618
+0.0420523
+0.0416245
+0.0413076
+0.0411052
+0.041019
+0.0410496
+0.0411969
+0.0414564
+0.0417878
+0.0422304
+0.042762
+0.0433949
+0.0441276
+0.0449396
+0.0657722
+0.0651653
+0.064596
+0.0640966
+0.0636593
+0.063278
+0.0620955
+0.0603682
+0.0586719
+0.0570063
+0.0553636
+0.05376
+0.0521991
+0.0506848
+0.0492214
+0.0478137
+0.0464666
+0.0451856
+0.0439621
+0.0428141
+0.0417496
+0.040775
+0.0398971
+0.0382314
+0.0365499
+0.0349166
+0.0333472
+0.0318512
+0.0304395
+0.0291243
+0.0279192
+0.0268392
+0.0258818
+0.0250669
+0.0244219
+0.0239605
+0.0236935
+0.0236056
+0.0236972
+0.0239883
+0.024464
+0.0251096
+0.0259107
+0.0268669
+0.027666
+0.0280169
+0.0285245
+0.0291001
+0.0297484
+0.0289937
+0.027418
+0.0257286
+0.0239811
+0.0223119
+0.0207238
+0.0192481
+0.0178703
+0.0166643
+0.0156732
+0.0149057
+0.0144038
+0.0141941
+0.0142866
+0.0146996
+0.01518
+0.0156266
+0.0160283
+0.016473
+0.0171164
+0.017985
+0.0190273
+0.0202488
+0.0216236
+0.023095
+0.0246676
+0.0263287
+0.0280626
+0.0298565
+0.0313762
+0.0327447
+0.0340368
+0.0353922
+0.0367811
+0.0382452
+0.0397761
+0.0412901
+0.0426462
+0.0422234
+0.0419111
+0.0417116
+0.0416266
+0.0416568
+0.0417738
+0.0419665
+0.042272
+0.0426879
+0.0431761
+0.0437606
+0.0444441
+0.0452045
+0.0664369
+0.0658899
+0.0653722
+0.0648787
+0.0644468
+0.0640816
+0.0634366
+0.0617469
+0.0600895
+0.0584513
+0.0568504
+0.0552899
+0.0537734
+0.0523047
+0.050888
+0.0495276
+0.0482284
+0.0469865
+0.0458096
+0.0447091
+0.0436907
+0.0427605
+0.0413136
+0.0396397
+0.0380129
+0.0364451
+0.0349444
+0.0335198
+0.0321814
+0.0309403
+0.0298088
+0.0287973
+0.0278957
+0.0271413
+0.0265468
+0.026123
+0.0258783
+0.0257963
+0.0258801
+0.0261478
+0.0265856
+0.0271886
+0.0279301
+0.0288194
+0.0293107
+0.0296421
+0.0300663
+0.0306128
+0.030963
+0.0294008
+0.0279232
+0.0261968
+0.0244719
+0.0228247
+0.0212693
+0.0198136
+0.0184752
+0.0173049
+0.0163339
+0.0155958
+0.0151169
+0.0149172
+0.0150052
+0.015399
+0.0160343
+0.0169145
+0.0172996
+0.0177302
+0.0183385
+0.0191621
+0.0201797
+0.0213353
+0.0226443
+0.0240817
+0.0256033
+0.0272074
+0.0288885
+0.0306342
+0.0321159
+0.0332884
+0.0345602
+0.0358958
+0.037266
+0.0387117
+0.0402248
+0.0417228
+0.0432525
+0.0429103
+0.0425984
+0.0423713
+0.0422436
+0.0421982
+0.0422316
+0.0423785
+0.0426375
+0.0430067
+0.0434832
+0.0440637
+0.0447426
+0.0454979
+0.0671247
+0.0665837
+0.0661013
+0.0656416
+0.0652523
+0.0649346
+0.0646498
+0.0631715
+0.0615401
+0.0599416
+0.0583815
+0.0568631
+0.0553897
+0.053965
+0.052593
+0.0512779
+0.05002
+0.0488179
+0.0476862
+0.04663
+0.0456545
+0.0443981
+0.0427307
+0.0411094
+0.0395431
+0.0380385
+0.0366032
+0.0352457
+0.0339753
+0.0328022
+0.0317371
+0.0307765
+0.0299345
+0.0292328
+0.0286816
+0.0282898
+0.028064
+0.0279869
+0.0280642
+0.0283112
+0.0287175
+0.0292804
+0.0299735
+0.0308039
+0.0310029
+0.0312941
+0.031684
+0.0321755
+0.0314791
+0.0299439
+0.0284945
+0.0268042
+0.0251135
+0.0235054
+0.0219937
+0.0205727
+0.019287
+0.0181688
+0.0172465
+0.0165328
+0.0160817
+0.0159113
+0.0159938
+0.0163592
+0.0169587
+0.0178092
+0.018447
+0.0191332
+0.0197289
+0.0204967
+0.0214602
+0.0225827
+0.0238232
+0.0251934
+0.0266734
+0.028229
+0.0298527
+0.0315451
+0.0328119
+0.033965
+0.0352123
+0.036503
+0.0378673
+0.0392903
+0.0407588
+0.0422424
+0.0437541
+0.0435763
+0.0431975
+0.0428958
+0.0427045
+0.0426252
+0.0426583
+0.0428036
+0.0430601
+0.0434257
+0.0438977
+0.0444727
+0.0451455
+0.0458939
+0.0678219
+0.0672865
+0.0668187
+0.0664111
+0.0660536
+0.0657398
+0.0654978
+0.0646297
+0.0630334
+0.0614738
+0.0599536
+0.058476
+0.0570442
+0.0556619
+0.0543328
+0.0530605
+0.0518368
+0.0506778
+0.0495885
+0.0485737
+0.0474843
+0.0458227
+0.0442062
+0.0426411
+0.0411331
+0.0396888
+0.0383154
+0.0370207
+0.0358134
+0.0347024
+0.0336957
+0.0327825
+0.0319934
+0.0313378
+0.0308243
+0.0304601
+0.0302505
+0.0301775
+0.0302492
+0.0304786
+0.0308577
+0.0313822
+0.0320365
+0.0325603
+0.0327409
+0.0329895
+0.033361
+0.0337144
+0.0321366
+0.0306344
+0.0292192
+0.0275596
+0.0259151
+0.0243512
+0.0228903
+0.0215286
+0.0203036
+0.0192445
+0.0183556
+0.017681
+0.01726
+0.0170891
+0.0171659
+0.0175186
+0.0180961
+0.0188955
+0.0195074
+0.020165
+0.0208556
+0.0217108
+0.0227456
+0.0239183
+0.025138
+0.0264402
+0.027854
+0.0293634
+0.0309422
+0.0325071
+0.0335373
+0.0346754
+0.0358924
+0.0371501
+0.0384914
+0.0398924
+0.0413514
+0.0428246
+0.0443474
+0.0440984
+0.0437245
+0.0434265
+0.0432376
+0.0431592
+0.0431919
+0.0433355
+0.0435888
+0.04395
+0.0443939
+0.0449213
+0.0455298
+0.0462321
+0.068582
+0.0680526
+0.0675901
+0.0671871
+0.0668485
+0.0665802
+0.066357
+0.0661259
+0.0645666
+0.0630449
+0.0615635
+0.0601255
+0.0587339
+0.0573923
+0.0561042
+0.0548645
+0.0536815
+0.0525632
+0.0515138
+0.0505376
+0.0489154
+0.0473032
+0.0457391
+0.0442282
+0.0427762
+0.0413893
+0.0400742
+0.0388382
+0.0376892
+0.0366351
+0.0356722
+0.0348108
+0.0340687
+0.0334538
+0.0329733
+0.032633
+0.0324375
+0.0323682
+0.032435
+0.032649
+0.0330045
+0.0334954
+0.0341153
+0.0343593
+0.0345117
+0.0347403
+0.0350636
+0.0344634
+0.0329215
+0.0314567
+0.0300803
+0.0284543
+0.0268596
+0.025354
+0.0239544
+0.0226567
+0.021496
+0.0204803
+0.0196351
+0.019006
+0.018615
+0.0184397
+0.018511
+0.0188385
+0.0194092
+0.0201621
+0.0207457
+0.0213652
+0.0220182
+0.0228299
+0.0238161
+0.0249504
+0.0261994
+0.0275563
+0.0290153
+0.0305618
+0.032127
+0.0333764
+0.0343805
+0.0354916
+0.0366813
+0.0379128
+0.0392207
+0.0405934
+0.0420294
+0.0434915
+0.0450084
+0.0445787
+0.0441779
+0.043883
+0.0436961
+0.0436185
+0.0436432
+0.043764
+0.0439938
+0.0443307
+0.0447725
+0.045312
+0.0459133
+0.0466098
+0.069403
+0.0688799
+0.068423
+0.0680249
+0.0676905
+0.0674256
+0.067231
+0.0670815
+0.0661368
+0.064652
+0.0632083
+0.0618086
+0.0604558
+0.0591533
+0.0578997
+0.0566953
+0.0555513
+0.0544714
+0.0534595
+0.0520088
+0.0504003
+0.0488371
+0.0473238
+0.0458651
+0.0444666
+0.0431341
+0.0418738
+0.0406925
+0.0395973
+0.0385942
+0.0376723
+0.0368577
+0.0361576
+0.0355788
+0.0351274
+0.0348082
+0.034625
+0.0345589
+0.0346215
+0.034822
+0.0351567
+0.035618
+0.0361711
+0.0362015
+0.0363118
+0.036529
+0.0366312
+0.0350947
+0.0336204
+0.0322277
+0.0309276
+0.0294803
+0.0279442
+0.0265003
+0.0251465
+0.0239061
+0.0228091
+0.021841
+0.0210505
+0.0204649
+0.0201023
+0.0199401
+0.020006
+0.0203094
+0.0208399
+0.0215665
+0.0221289
+0.0227137
+0.023329
+0.0240966
+0.025033
+0.0261145
+0.0273182
+0.0286344
+0.0300411
+0.0315373
+0.033111
+0.0343635
+0.0353396
+0.0364215
+0.0375662
+0.0387736
+0.0400443
+0.0413895
+0.0427959
+0.0442212
+0.0455347
+0.0450554
+0.044659
+0.0443673
+0.0441824
+0.044098
+0.044109
+0.0442286
+0.044456
+0.0447894
+0.0452267
+0.0457647
+0.0463971
+0.0470865
+0.0702827
+0.0697662
+0.0693151
+0.0689222
+0.0685921
+0.0683307
+0.0681388
+0.0680169
+0.0677414
+0.0662926
+0.0648854
+0.0635226
+0.0622071
+0.0609411
+0.0597178
+0.0585509
+0.0574438
+0.0564002
+0.0551026
+0.0534975
+0.0519351
+0.0504196
+0.0489552
+0.0475466
+0.046199
+0.0449179
+0.0437091
+0.0425788
+0.0415333
+0.0405686
+0.0396925
+0.0389202
+0.0382579
+0.0377114
+0.0372858
+0.0369852
+0.0368128
+0.0367495
+0.0368084
+0.0369971
+0.0373134
+0.0377483
+0.0380517
+0.038064
+0.0381457
+0.03834
+0.0372937
+0.0357916
+0.0343629
+0.0330015
+0.0317331
+0.030567
+0.0291534
+0.027753
+0.0264535
+0.0252773
+0.0242375
+0.0233283
+0.0225899
+0.0220453
+0.0217091
+0.021559
+0.02162
+0.0218775
+0.0222459
+0.0227966
+0.0234429
+0.024148
+0.0247343
+0.025489
+0.0263759
+0.0274045
+0.0285539
+0.0298201
+0.0311873
+0.032631
+0.0341543
+0.0350293
+0.0356632
+0.0364044
+0.0372433
+0.0381743
+0.0392017
+0.040322
+0.0415278
+0.0428117
+0.0441671
+0.0455875
+0.0452054
+0.0449173
+0.0447347
+0.0446589
+0.0446775
+0.0447956
+0.0450201
+0.0453494
+0.0457813
+0.0463129
+0.0468558
+0.0474604
+0.0712189
+0.0707093
+0.0702642
+0.0698767
+0.0695511
+0.0692933
+0.069104
+0.0689839
+0.0689331
+0.0679642
+0.0665924
+0.0652652
+0.0639855
+0.0627477
+0.0615602
+0.0604289
+0.0593568
+0.058197
+0.0565948
+0.0550332
+0.0535157
+0.0520462
+0.0506288
+0.0492682
+0.047969
+0.0467364
+0.0455758
+0.044493
+0.0434926
+0.0425641
+0.04173
+0.0409961
+0.0403678
+0.0398503
+0.0394477
+0.0391638
+0.039001
+0.0389402
+0.0389958
+0.0391739
+0.0394731
+0.0398852
+0.0399593
+0.0399377
+0.0400156
+0.0396078
+0.038071
+0.0366008
+0.0352054
+0.033891
+0.0326573
+0.0313882
+0.029954
+0.0286159
+0.0273878
+0.0262852
+0.0253245
+0.0244916
+0.0238283
+0.0233525
+0.0230756
+0.023005
+0.023066
+0.0232099
+0.0235575
+0.0240817
+0.0246943
+0.0253986
+0.0259567
+0.0266834
+0.0275656
+0.0285581
+0.0296777
+0.0309121
+0.0322483
+0.0325044
+0.0328961
+0.033427
+0.034085
+0.034833
+0.0356974
+0.0366633
+0.0377319
+0.0388945
+0.0401432
+0.0414701
+0.0428679
+0.0443299
+0.0458448
+0.0455607
+0.0453807
+0.045306
+0.0453371
+0.0454612
+0.0456824
+0.0459833
+0.0463492
+0.0467563
+0.0472607
+0.0478601
+0.0722095
+0.0717069
+0.0712681
+0.070886
+0.0705651
+0.070311
+0.0701245
+0.0700061
+0.0699561
+0.0696646
+0.0683269
+0.0670341
+0.065783
+0.0645779
+0.0634248
+0.0623273
+0.0612885
+0.0596922
+0.0581312
+0.056612
+0.055138
+0.0537129
+0.0523407
+0.0510257
+0.0497724
+0.0485856
+0.0474702
+0.0464316
+0.0454655
+0.044578
+0.0437822
+0.0430833
+0.0424859
+0.0419945
+0.0416127
+0.0413436
+0.0411894
+0.0411308
+0.0411835
+0.0413522
+0.0416357
+0.0419769
+0.0418816
+0.0418422
+0.0419072
+0.0404593
+0.038956
+0.0375188
+0.0361557
+0.0348771
+0.0336723
+0.032192
+0.0307953
+0.0294954
+0.0283055
+0.0272401
+0.0263108
+0.0255072
+0.024871
+0.0244155
+0.0241509
+0.0240827
+0.024177
+0.0244665
+0.0249458
+0.0254876
+0.0260701
+0.0267697
+0.0272998
+0.0279917
+0.0288338
+0.0298135
+0.0305801
+0.0305585
+0.0306665
+0.0309265
+0.0313379
+0.0318882
+0.0325393
+0.033322
+0.0342173
+0.0352239
+0.0363348
+0.0375407
+0.038833
+0.0402031
+0.0416434
+0.0431399
+0.0446885
+0.0461546
+0.0461189
+0.0460238
+0.045994
+0.0460684
+0.0462348
+0.0464957
+0.0468199
+0.0472221
+0.0477215
+0.0483152
+0.0732391
+0.0727564
+0.0723244
+0.0719479
+0.0716317
+0.0713815
+0.0711977
+0.0710811
+0.0710319
+0.0710502
+0.070087
+0.0688233
+0.0676021
+0.06643
+0.0653096
+0.0642443
+0.0627897
+0.0612293
+0.0597085
+0.0582304
+0.0567984
+0.055416
+0.0540871
+0.0528156
+0.0516058
+0.0504621
+0.0493892
+0.048391
+0.0474573
+0.0466078
+0.0458473
+0.0451803
+0.044611
+0.0441432
+0.0437802
+0.0435245
+0.0433781
+0.0433215
+0.0433715
+0.0435318
+0.0438011
+0.0439167
+0.0437943
+0.0437558
+0.0429382
+0.041409
+0.0399386
+0.0385366
+0.0372109
+0.0359698
+0.034562
+0.0331215
+0.0317657
+0.0305071
+0.0293583
+0.028332
+0.0274147
+0.0266443
+0.0260359
+0.0256011
+0.0253489
+0.0252842
+0.0253743
+0.0256503
+0.0261079
+0.0267376
+0.0275086
+0.0275916
+0.0275727
+0.0277274
+0.0280528
+0.0285258
+0.029072
+0.0290435
+0.0291538
+0.0294272
+0.0298517
+0.0303887
+0.0310713
+0.0318849
+0.0328168
+0.033865
+0.0350191
+0.0362688
+0.0376048
+0.039018
+0.0404894
+0.0420215
+0.0436099
+0.0451111
+0.0464902
+0.0466388
+0.0466094
+0.0466829
+0.0467895
+0.0469881
+0.0472875
+0.0476857
+0.0481803
+0.0487684
+0.0742945
+0.0738187
+0.0734052
+0.0730551
+0.0727487
+0.0725023
+0.0723214
+0.0722066
+0.0721581
+0.0721761
+0.0718685
+0.070632
+0.0694426
+0.0683022
+0.0672129
+0.0658872
+0.0643273
+0.0628052
+0.0613235
+0.0598853
+0.0584938
+0.0571524
+0.0558648
+0.0546347
+0.0534661
+0.052363
+0.0513299
+0.0503627
+0.049466
+0.0486516
+0.0479235
+0.0472858
+0.0467422
+0.046296
+0.0459499
+0.0457064
+0.045567
+0.0455122
+0.0455598
+0.0457124
+0.045969
+0.0458671
+0.0457255
+0.0454893
+0.0439398
+0.0424466
+0.0410134
+0.0396495
+0.0383623
+0.037038
+0.0355646
+0.0341664
+0.0328537
+0.0316384
+0.0305322
+0.0295247
+0.0286437
+0.0279073
+0.0273271
+0.0269131
+0.0266733
+0.026612
+0.0266979
+0.0269604
+0.0271066
+0.0265855
+0.0262375
+0.0260499
+0.0260299
+0.0261939
+0.0265382
+0.0270438
+0.0276461
+0.0275989
+0.027715
+0.0279741
+0.0283942
+0.0289648
+0.0296865
+0.0305314
+0.0315034
+0.0325939
+0.0337914
+0.0350849
+0.0364641
+0.0379069
+0.0394176
+0.0409898
+0.0426167
+0.0441307
+0.0455394
+0.047008
+0.0472202
+0.0472142
+0.0473096
+0.0475061
+0.0477978
+0.0481725
+0.0486431
+0.0492068
+0.0753988
+0.07493
+0.0745226
+0.0741778
+0.0738758
+0.0736332
+0.0734551
+0.0733421
+0.0732943
+0.0733121
+0.0733952
+0.0724619
+0.071303
+0.0701928
+0.0689847
+0.0674254
+0.065902
+0.064417
+0.0629733
+0.0615736
+0.0602212
+0.0589191
+0.0576709
+0.0564802
+0.0553505
+0.0542858
+0.0532894
+0.0523515
+0.0514896
+0.0507076
+0.0500095
+0.0493987
+0.0488786
+0.048452
+0.0481215
+0.047889
+0.047756
+0.0477029
+0.0477482
+0.0478939
+0.0480439
+0.0478149
+0.0476791
+0.0465391
+0.0450257
+0.0435698
+0.0421748
+0.0408496
+0.0396014
+0.0381014
+0.0366707
+0.0353163
+0.034048
+0.032877
+0.031797
+0.0308254
+0.0299827
+0.0292799
+0.0287274
+0.028334
+0.0281063
+0.0280479
+0.0272855
+0.0264227
+0.0257018
+0.0251516
+0.0247835
+0.0245858
+0.0245646
+0.0247383
+0.0251026
+0.0256356
+0.0263164
+0.0262256
+0.0263125
+0.0265803
+0.027022
+0.027621
+0.0283769
+0.0292596
+0.0302725
+0.0314057
+0.0326468
+0.0339839
+0.0354061
+0.0368902
+0.038441
+0.0400515
+0.041715
+0.0432391
+0.0446759
+0.046172
+0.0476908
+0.0476848
+0.0477794
+0.0479739
+0.0482671
+0.0486521
+0.0491181
+0.0496764
+0.0765498
+0.0760875
+0.0756786
+0.0753267
+0.0750255
+0.0747866
+0.0746112
+0.0744999
+0.074453
+0.0744704
+0.0745523
+0.0743112
+0.0731816
+0.0720824
+0.0705234
+0.0689989
+0.0675109
+0.0660622
+0.0646552
+0.0632927
+0.0619778
+0.0607135
+0.0595029
+0.0583496
+0.0572568
+0.0562282
+0.0552601
+0.054356
+0.0535263
+0.0527745
+0.0521041
+0.0515182
+0.0510197
+0.0506111
+0.0502948
+0.0500724
+0.0499452
+0.0498935
+0.0499369
+0.0500762
+0.050009
+0.0497829
+0.0491963
+0.0476665
+0.04619
+0.044772
+0.0434157
+0.0420495
+0.0406586
+0.0392584
+0.0378714
+0.0365615
+0.035338
+0.0341978
+0.0331519
+0.0322212
+0.0314084
+0.0303524
+0.0294129
+0.0286101
+0.0279562
+0.0270953
+0.0260622
+0.0251496
+0.0243968
+0.0238166
+0.0234276
+0.0232265
+0.0232041
+0.0233877
+0.0237727
+0.0243345
+0.0250273
+0.0249266
+0.025018
+0.0252995
+0.0257632
+0.0263908
+0.02718
+0.0280972
+0.0291505
+0.0303257
+0.0316092
+0.0329822
+0.034436
+0.0359646
+0.0375587
+0.0392105
+0.0409108
+0.042442
+0.0439049
+0.0454263
+0.0470007
+0.0482501
+0.0483435
+0.0485358
+0.0488256
+0.0492067
+0.0496675
+0.0502197
+0.0777343
+0.0772707
+0.0768637
+0.0765173
+0.0762208
+0.0759856
+0.0758131
+0.0757035
+0.0756573
+0.0756745
+0.075755
+0.0758988
+0.0750772
+0.0736215
+0.0720959
+0.0706053
+0.0691519
+0.0677382
+0.0663668
+0.0650402
+0.0637613
+0.0625331
+0.0613584
+0.0602406
+0.0591828
+0.0581879
+0.0572465
+0.0563742
+0.0555747
+0.054851
+0.0542063
+0.0536433
+0.0531647
+0.0527728
+0.0524695
+0.0522564
+0.0521345
+0.0520842
+0.0521258
+0.0522592
+0.0519863
+0.0517688
+0.0502119
+0.0486936
+0.0472282
+0.0458206
+0.0444706
+0.0431101
+0.0417546
+0.0404723
+0.0389882
+0.0373973
+0.0358696
+0.0344137
+0.033039
+0.0317519
+0.0305509
+0.0294641
+0.0284954
+0.0276659
+0.0269892
+0.0260258
+0.0249483
+0.0239929
+0.0232029
+0.0225937
+0.0221833
+0.0219778
+0.0219541
+0.0221481
+0.022551
+0.023137
+0.0238363
+0.0237305
+0.0238265
+0.0241219
+0.0246095
+0.0252783
+0.0260858
+0.0270401
+0.028133
+0.029349
+0.030671
+0.03208
+0.0335729
+0.035139
+0.0367689
+0.0384547
+0.0401891
+0.0417447
+0.0432312
+0.04477
+0.0463585
+0.0479944
+0.0489992
+0.0491889
+0.0494749
+0.049851
+0.0503059
+0.0508512
+0.0789524
+0.078493
+0.0780923
+0.0777514
+0.0774596
+0.0772282
+0.0770584
+0.0769507
+0.0769052
+0.0769221
+0.0770013
+0.0771427
+0.0767196
+0.075193
+0.0736999
+0.0722424
+0.0708226
+0.069443
+0.0681059
+0.0668138
+0.0655695
+0.0643758
+0.0632354
+0.0621513
+0.0611266
+0.0601577
+0.0592473
+0.0584049
+0.0576335
+0.056936
+0.0563152
+0.0557735
+0.0553134
+0.0549368
+0.0546455
+0.0544409
+0.0543234
+0.0542749
+0.0543148
+0.0542772
+0.0539801
+0.0527121
+0.0511742
+0.0496853
+0.0482499
+0.0468731
+0.0453502
+0.0435514
+0.04179
+0.0400709
+0.0384
+0.0367836
+0.0352293
+0.0337458
+0.0323426
+0.0310309
+0.0298129
+0.028689
+0.0276931
+0.0268394
+0.0261389
+0.0251017
+0.0239828
+0.0229872
+0.0221614
+0.0215249
+0.0210937
+0.0208836
+0.0208599
+0.0210639
+0.0214779
+0.0220924
+0.0227829
+0.0226722
+0.0227727
+0.0230816
+0.0235908
+0.0242875
+0.0251269
+0.0261163
+0.0272463
+0.0285001
+0.0298598
+0.0313053
+0.0328334
+0.0344331
+0.036095
+0.0378108
+0.0395735
+0.0411359
+0.0426408
+0.0441972
+0.0458056
+0.0474605
+0.0491574
+0.0499296
+0.0502115
+0.0505821
+0.0510304
+0.0515681
+0.0802088
+0.0797567
+0.0793624
+0.0790269
+0.0787399
+0.0785123
+0.0783453
+0.0782393
+0.0781945
+0.0782112
+0.0782891
+0.0784282
+0.0782902
+0.0767948
+0.0753334
+0.0739082
+0.072521
+0.0711743
+0.0698703
+0.0686115
+0.0674004
+0.0662397
+0.065132
+0.06408
+0.0630863
+0.062142
+0.0612611
+0.0604468
+0.0597018
+0.0590288
+0.0584301
+0.0579083
+0.0574652
+0.0571028
+0.0568226
+0.0566259
+0.0565122
+0.0564656
+0.0565039
+0.0562751
+0.0552728
+0.0537189
+0.0522106
+0.0505772
+0.0486759
+0.0467998
+0.0449523
+0.0431369
+0.0413579
+0.0396201
+0.0379293
+0.0362919
+0.0347157
+0.0332092
+0.0317824
+0.0304395
+0.0291756
+0.0280262
+0.0270058
+0.0261297
+0.0254128
+0.0243168
+0.0231593
+0.0221431
+0.0212776
+0.0206097
+0.0201588
+0.0199398
+0.0199228
+0.0201364
+0.0205808
+0.0212232
+0.0218912
+0.021776
+0.0218806
+0.0222019
+0.0227262
+0.0234225
+0.024297
+0.0253313
+0.0265009
+0.0277884
+0.0291837
+0.0306678
+0.0322261
+0.0338546
+0.0355435
+0.0372847
+0.0390711
+0.04063
+0.042153
+0.0437268
+0.0453518
+0.0470228
+0.0487349
+0.0504841
+0.0510315
+0.0513962
+0.0518375
+0.0523669
+0.0814649
+0.0810599
+0.080672
+0.0803388
+0.0800558
+0.0798319
+0.0796676
+0.0795634
+0.0795194
+0.0795357
+0.0796123
+0.0797491
+0.0798899
+0.0784251
+0.0769947
+0.0756007
+0.0742452
+0.0729304
+0.0716583
+0.0704315
+0.0692523
+0.0681231
+0.0670464
+0.066025
+0.0650554
+0.0641397
+0.0632867
+0.0624987
+0.0617785
+0.0611283
+0.0605505
+0.060047
+0.0596199
+0.0592707
+0.0590008
+0.0588113
+0.0587011
+0.0586563
+0.058644
+0.0578861
+0.0561622
+0.054193
+0.0522415
+0.0503097
+0.0483999
+0.046515
+0.0446577
+0.0428306
+0.0410383
+0.0392864
+0.0375806
+0.0359274
+0.0343344
+0.0328104
+0.031361
+0.0299761
+0.0286918
+0.0275222
+0.0264825
+0.0255884
+0.0248559
+0.0236939
+0.0225043
+0.0214571
+0.0205628
+0.0198708
+0.0194028
+0.0191751
+0.0191575
+0.0193795
+0.0198423
+0.0205297
+0.0211566
+0.0210374
+0.0211456
+0.0214779
+0.0220163
+0.0227343
+0.0236327
+0.0246821
+0.0258748
+0.0271919
+0.0286163
+0.0301328
+0.0317279
+0.0333875
+0.0351053
+0.0368733
+0.0386846
+0.0402373
+0.0417746
+0.0433621
+0.0450003
+0.0466838
+0.0484079
+0.0501685
+0.0518254
+0.0521357
+0.0525355
+0.0530229
+0.0825184
+0.0822259
+0.0819908
+0.0816803
+0.0814019
+0.0811817
+0.0810202
+0.0809177
+0.0808744
+0.0808905
+0.0809658
+0.0811003
+0.0812936
+0.0800821
+0.0786818
+0.0773183
+0.0759934
+0.0747094
+0.0734681
+0.072272
+0.0711233
+0.0700243
+0.0689774
+0.0679847
+0.0670379
+0.0661497
+0.0653229
+0.0645598
+0.0638628
+0.0632341
+0.0626756
+0.0621894
+0.0617771
+0.0614401
+0.0611798
+0.0609971
+0.0608902
+0.0608469
+0.0599928
+0.0579883
+0.0559976
+0.0540225
+0.0520646
+0.050126
+0.0482089
+0.0463162
+0.0444508
+0.0426164
+0.0408154
+0.0390536
+0.0373373
+0.0356729
+0.0340682
+0.0325318
+0.0310664
+0.0296677
+0.0283694
+0.027186
+0.0261328
+0.0252264
+0.024483
+0.0232613
+0.0220484
+0.0209785
+0.0200629
+0.019353
+0.0188721
+0.018638
+0.0186198
+0.0188482
+0.0193238
+0.020029
+0.0206262
+0.0205038
+0.0206149
+0.0209556
+0.0214993
+0.0222199
+0.0231263
+0.0241976
+0.025413
+0.0267529
+0.0281995
+0.0297351
+0.0313471
+0.0330258
+0.0347615
+0.0365461
+0.0383728
+0.0399609
+0.0415085
+0.0431058
+0.0447534
+0.0464458
+0.0481785
+0.0499471
+0.0517481
+0.0528792
+0.0532735
+0.0537542
+0.0836161
+0.0833274
+0.0830955
+0.0829208
+0.0827842
+0.0825677
+0.0824089
+0.0823081
+0.0822655
+0.0822813
+0.0823554
+0.0824876
+0.0826776
+0.0817643
+0.0803933
+0.0790593
+0.0777641
+0.0765097
+0.0752982
+0.0741316
+0.0730122
+0.071942
+0.0709234
+0.0699533
+0.069033
+0.0681708
+0.0673688
+0.0666291
+0.065954
+0.0653454
+0.0648052
+0.064335
+0.0639365
+0.063611
+0.0633596
+0.0631832
+0.0630794
+0.0619386
+0.059919
+0.0579119
+0.0559185
+0.0539405
+0.0519795
+0.0500376
+0.048117
+0.0462205
+0.0443511
+0.0425124
+0.0407068
+0.0389401
+0.0372185
+0.0355486
+0.0339379
+0.0323954
+0.0309143
+0.0295124
+0.0282111
+0.0270233
+0.0259634
+0.0250506
+0.0243015
+0.0230299
+0.0218041
+0.0207216
+0.0197941
+0.0190742
+0.0185862
+0.0183484
+0.0183271
+0.0185591
+0.0190419
+0.0197572
+0.0202816
+0.0201572
+0.0202701
+0.0206165
+0.0211612
+0.0218929
+0.0228123
+0.0238977
+0.0251276
+0.026482
+0.0279426
+0.0294916
+0.0311162
+0.0328067
+0.0345534
+0.0363482
+0.0381844
+0.0398034
+0.0413568
+0.0429598
+0.0446127
+0.0463104
+0.0480479
+0.0498212
+0.0516265
+0.0534607
+0.0540902
+0.0545637
+0.0847509
+0.0844661
+0.0842373
+0.084065
+0.0839435
+0.083874
+0.0838317
+0.0837327
+0.0836908
+0.0837063
+0.0837791
+0.0839091
+0.0840959
+0.08347
+0.0821275
+0.0808221
+0.0795557
+0.07833
+0.0771471
+0.0760089
+0.0749175
+0.0738749
+0.0728832
+0.0719343
+0.0710397
+0.0702021
+0.0694235
+0.068706
+0.0680515
+0.0674618
+0.0669387
+0.0664836
+0.0660981
+0.0657832
+0.0655402
+0.0653697
+0.0639752
+0.0619446
+0.0599252
+0.0579183
+0.0559252
+0.0539474
+0.0519866
+0.050045
+0.0481247
+0.0462285
+0.0443595
+0.0425211
+0.0407159
+0.0389497
+0.0372285
+0.035559
+0.0339489
+0.0323866
+0.0308963
+0.0294935
+0.0281914
+0.0270044
+0.0259433
+0.0250294
+0.0242793
+0.0230009
+0.0217687
+0.0206571
+0.0197265
+0.0190041
+0.0185142
+0.0182745
+0.018246
+0.018479
+0.0189638
+0.0196819
+0.0201623
+0.0200371
+0.0201507
+0.0204992
+0.0210469
+0.0217824
+0.0227063
+0.0237965
+0.0250314
+0.0263907
+0.0278561
+0.0294097
+0.0310385
+0.032733
+0.0344835
+0.0362818
+0.0381212
+0.0397645
+0.0413145
+0.0429187
+0.0445729
+0.0462717
+0.0480104
+0.0497847
+0.0515911
+0.0534262
+0.0549821
+0.055448
+0.085921
+0.0856401
+0.0854144
+0.0852445
+0.0851265
+0.085058
+0.0850459
+0.0850902
+0.0851487
+0.0851639
+0.0852355
+0.0853632
+0.0855469
+0.0851979
+0.0838831
+0.0826055
+0.0813668
+0.0801688
+0.0790134
+0.0779025
+0.0768379
+0.0758218
+0.0748512
+0.073927
+0.0730569
+0.0722426
+0.0714863
+0.0707897
+0.0701547
+0.0695828
+0.0690757
+0.0686348
+0.0682614
+0.0679566
+0.0677214
+0.0660944
+0.0640551
+0.062026
+0.0600082
+0.058003
+0.0560117
+0.0540358
+0.0520771
+0.0501376
+0.0482196
+0.0463258
+0.0444594
+0.0426237
+0.0408231
+0.0390624
+0.0373472
+0.0356841
+0.0340776
+0.0325174
+0.0310333
+0.029637
+0.0283414
+0.027161
+0.0261063
+0.0251983
+0.0244534
+0.0231446
+0.0219204
+0.0208169
+0.0198939
+0.0191778
+0.0186924
+0.0184551
+0.0184268
+0.0186575
+0.0191378
+0.0198497
+0.0202598
+0.0201352
+0.0202483
+0.0205951
+0.02116
+0.0218917
+0.0228111
+0.0238966
+0.0251266
+0.026481
+0.0279417
+0.0294907
+0.0311153
+0.0328059
+0.0345526
+0.0363475
+0.0381837
+0.0398245
+0.0413722
+0.0429743
+0.0446264
+0.0463233
+0.0480601
+0.0498326
+0.0516373
+0.0534709
+0.0553304
+0.0564036
+0.0871305
+0.0868535
+0.086631
+0.0864634
+0.086349
+0.0862815
+0.0862695
+0.0863132
+0.0864124
+0.0865669
+0.0867227
+0.0868482
+0.0870288
+0.0869467
+0.0856588
+0.084408
+0.0831961
+0.0820249
+0.080896
+0.0798113
+0.0787726
+0.0777816
+0.0768308
+0.0759307
+0.0750838
+0.0742918
+0.0735565
+0.0728797
+0.072263
+0.071708
+0.071216
+0.0707885
+0.0704265
+0.0701311
+0.0682759
+0.0662311
+0.064196
+0.0621715
+0.0601586
+0.0581586
+0.0561728
+0.0542028
+0.0522503
+0.0503175
+0.0484067
+0.0465205
+0.0446622
+0.0428352
+0.0410439
+0.0392931
+0.0375884
+0.0359365
+0.0343418
+0.0327942
+0.0313233
+0.0299405
+0.0286568
+0.0274851
+0.0264433
+0.0255473
+0.0248129
+0.0234926
+0.0222876
+0.0212032
+0.0202977
+0.0195963
+0.0191216
+0.0188896
+0.018862
+0.0190875
+0.0195572
+0.0202543
+0.0205663
+0.0204436
+0.020555
+0.0208967
+0.0214419
+0.0221644
+0.0230729
+0.0241466
+0.0253645
+0.0267068
+0.0281558
+0.0296958
+0.0313135
+0.0329973
+0.0347377
+0.0365266
+0.0383572
+0.0400046
+0.0415455
+0.0431412
+0.0447871
+0.0464781
+0.0482093
+0.0499766
+0.0517763
+0.0536051
+0.0554601
+0.0573388
+0.0883777
+0.0881046
+0.0878853
+0.0877202
+0.0876091
+0.0875426
+0.0875309
+0.0875739
+0.0876717
+0.087824
+0.0880306
+0.0882911
+0.08854
+0.0887151
+0.0874532
+0.0862285
+0.0850426
+0.0838971
+0.0827937
+0.0817342
+0.0807202
+0.0797492
+0.0788216
+0.0779445
+0.0771197
+0.0763488
+0.0756335
+0.0749755
+0.0743762
+0.073837
+0.0733593
+0.0729443
+0.0725817
+0.0705258
+0.0684782
+0.0664397
+0.0644112
+0.0623937
+0.0603882
+0.058396
+0.0564186
+0.0544574
+0.0525145
+0.0505917
+0.0486917
+0.046817
+0.0449709
+0.043157
+0.0413796
+0.0396436
+0.0379547
+0.0363194
+0.0347425
+0.0332107
+0.0317549
+0.0303875
+0.0291208
+0.0279685
+0.0269455
+0.0260667
+0.0253451
+0.024036
+0.0228596
+0.0218037
+0.0209242
+0.0202446
+0.0197854
+0.0195613
+0.0195347
+0.0197524
+0.0202068
+0.0208822
+0.021097
+0.0209774
+0.021086
+0.0214192
+0.0219396
+0.0226462
+0.0235362
+0.0245896
+0.0257866
+0.027108
+0.0285366
+0.0300571
+0.0316563
+0.0333228
+0.0350471
+0.036821
+0.0386377
+0.040303
+0.041833
+0.0434181
+0.0450539
+0.0467353
+0.0484573
+0.0502159
+0.0520073
+0.0538282
+0.0556758
+0.0575474
+0.0896611
+0.089392
+0.0891758
+0.0890131
+0.088904
+0.0888399
+0.0888283
+0.0888707
+0.0889671
+0.0891172
+0.0893208
+0.0895775
+0.0898869
+0.0902485
+0.0892654
+0.0880658
+0.086905
+0.0857844
+0.0847056
+0.0836703
+0.0826801
+0.0817276
+0.0808227
+0.0799676
+0.0791638
+0.078413
+0.0777168
+0.0770765
+0.0764937
+0.0759695
+0.0755053
+0.07489
+0.072838
+0.0707896
+0.0687498
+0.0667196
+0.0646999
+0.0626916
+0.060696
+0.0587143
+0.0567479
+0.0547986
+0.0528681
+0.0509588
+0.0490729
+0.0472133
+0.045383
+0.0435857
+0.0418258
+0.0401085
+0.0384392
+0.0368247
+0.0352637
+0.0337543
+0.0323231
+0.0309807
+0.0297393
+0.028612
+0.0276128
+0.026756
+0.0260346
+0.024762
+0.0236218
+0.0226015
+0.0217543
+0.0211014
+0.0206613
+0.0204468
+0.0204213
+0.0206297
+0.0210651
+0.0217138
+0.021825
+0.0217094
+0.0218143
+0.0221366
+0.0226392
+0.0233246
+0.0241897
+0.0252159
+0.0263844
+0.0276773
+0.029078
+0.0305716
+0.0321452
+0.0337876
+0.0354893
+0.0372421
+0.0390392
+0.0407174
+0.0422323
+0.0438029
+0.0454249
+0.047093
+0.0488024
+0.050549
+0.052329
+0.0541391
+0.0559764
+0.0578383
+0.0909792
+0.090714
+0.090501
+0.0903406
+0.0902332
+0.090171
+0.0901596
+0.0902014
+0.0902963
+0.0904442
+0.0906448
+0.0908978
+0.0912027
+0.0915591
+0.0910942
+0.089919
+0.0887824
+0.0876858
+0.0866307
+0.0856187
+0.0846473
+0.0837166
+0.0828334
+0.0819992
+0.0812156
+0.080484
+0.0798058
+0.0791824
+0.0786152
+0.0781053
+0.0772537
+0.0752024
+0.0731591
+0.0711199
+0.0690898
+0.0670699
+0.0650611
+0.0630643
+0.0610805
+0.0591112
+0.057158
+0.0552226
+0.053307
+0.0514134
+0.0495443
+0.0477025
+0.0458914
+0.0441148
+0.0423769
+0.0406828
+0.0390381
+0.0374494
+0.0359101
+0.0344291
+0.033027
+0.0317145
+0.030503
+0.029405
+0.0284336
+0.0276023
+0.0268854
+0.025655
+0.0245563
+0.0235765
+0.0227656
+0.0221423
+0.0217227
+0.0215188
+0.0214954
+0.0216935
+0.0221068
+0.0227202
+0.0227158
+0.0226048
+0.0227056
+0.0230154
+0.0235226
+0.0241832
+0.0250185
+0.026012
+0.0271463
+0.0284046
+0.029771
+0.0312315
+0.0327734
+0.0343859
+0.0360593
+0.0377857
+0.0395581
+0.041244
+0.0427403
+0.0442929
+0.0458976
+0.0475491
+0.0492427
+0.0509742
+0.0527398
+0.0545363
+0.0563607
+0.0582103
+0.0923305
+0.0920691
+0.0918592
+0.0917013
+0.0915954
+0.0915342
+0.0915229
+0.0915641
+0.0916576
+0.0918033
+0.092001
+0.0922502
+0.0925507
+0.0929019
+0.0929386
+0.0917871
+0.0906739
+0.0896004
+0.0885682
+0.0875785
+0.0866247
+0.0857154
+0.084853
+0.0840389
+0.0832744
+0.0825611
+0.0819001
+0.0812928
+0.0807404
+0.0796678
+0.0776184
+0.0755769
+0.0735429
+0.0715142
+0.0694952
+0.067487
+0.0654905
+0.0635068
+0.0615372
+0.059583
+0.0576458
+0.0557273
+0.0538297
+0.0519551
+0.0501062
+0.0482859
+0.0464975
+0.0447449
+0.0430325
+0.0413647
+0.0397408
+0.0381734
+0.0366641
+0.0352148
+0.0338454
+0.0325658
+0.0313872
+0.0303212
+0.0293802
+0.0285764
+0.0278827
+0.0266981
+0.0256155
+0.024676
+0.0239009
+0.0233066
+0.0229073
+0.0227131
+0.0226905
+0.0228783
+0.0232713
+0.0238532
+0.0237757
+0.0236697
+0.0237659
+0.0240621
+0.0245509
+0.0252034
+0.026006
+0.0269631
+0.028059
+0.0292781
+0.0306056
+0.032028
+0.0335333
+0.0351108
+0.0367513
+0.0384467
+0.0401899
+0.0418788
+0.0433532
+0.0448846
+0.0464689
+0.0481008
+0.0497756
+0.0514891
+0.0532377
+0.0550179
+0.0568268
+0.0586618
+0.0937134
+0.0934559
+0.0932492
+0.0930936
+0.0929893
+0.092929
+0.0929179
+0.0929585
+0.0930506
+0.0931941
+0.0933888
+0.0936344
+0.0939304
+0.0942765
+0.0946719
+0.0936691
+0.0925786
+0.0915275
+0.0905172
+0.0895455
+0.088612
+0.0877234
+0.0868809
+0.086086
+0.0853399
+0.0846439
+0.0839993
+0.0834073
+0.0821277
+0.0800814
+0.0780428
+0.0760128
+0.0739875
+0.0719713
+0.0699656
+0.0679713
+0.0659894
+0.0640212
+0.0620679
+0.0601309
+0.0582119
+0.0563128
+0.0544356
+0.0525826
+0.0507565
+0.0489604
+0.0471976
+0.0454698
+0.0437789
+0.042134
+0.0405407
+0.0390055
+0.0375297
+0.0361152
+0.0347812
+0.0335374
+0.0323941
+0.0313623
+0.0304535
+0.0296788
+0.0290111
+0.0278456
+0.0268053
+0.025909
+0.0251719
+0.0246083
+0.0242304
+0.0240465
+0.0240248
+0.0242022
+0.0245744
+0.0251264
+0.0249832
+0.0248823
+0.0249739
+0.0252559
+0.025722
+0.0263625
+0.0271348
+0.0280534
+0.0291083
+0.0302851
+0.0315703
+0.0329511
+0.0344161
+0.0359549
+0.0375585
+0.039219
+0.0409294
+0.0426168
+0.0440665
+0.045574
+0.0471351
+0.0487447
+0.0503981
+0.0520912
+0.0538202
+0.0555818
+0.0573729
+0.0591909
+0.0951268
+0.0948731
+0.0946695
+0.0945162
+0.0944135
+0.0943541
+0.0943432
+0.0943831
+0.0944738
+0.0946152
+0.094807
+0.0950489
+0.0953406
+0.0956815
+0.0960712
+0.0955643
+0.0944956
+0.0934661
+0.092477
+0.0915218
+0.0906088
+0.0897399
+0.0889166
+0.08814
+0.0874114
+0.0867321
+0.0861031
+0.0846296
+0.0825871
+0.0805524
+0.0785262
+0.0765064
+0.0744939
+0.0724918
+0.0705009
+0.0685222
+0.0665567
+0.0646058
+0.0626707
+0.060753
+0.0588543
+0.0569765
+0.0551219
+0.0532928
+0.0514919
+0.0497187
+0.0479774
+0.0462744
+0.044614
+0.043001
+0.0414412
+0.0399406
+0.0385006
+0.0371231
+0.0358267
+0.0346204
+0.0335141
+0.0325179
+0.0316423
+0.0308974
+0.030229
+0.0291092
+0.0281158
+0.0272625
+0.026563
+0.0260296
+0.0256726
+0.0254983
+0.0254779
+0.0256452
+0.0259968
+0.0265197
+0.0263163
+0.0262205
+0.0263074
+0.0265753
+0.0270187
+0.0276291
+0.028388
+0.0292673
+0.0302799
+0.0314129
+0.0326537
+0.0339905
+0.0354125
+0.0369098
+0.0384737
+0.0400963
+0.0417707
+0.0434529
+0.0448756
+0.0463568
+0.0478924
+0.0494773
+0.051107
+0.0527774
+0.0544846
+0.0562254
+0.0579967
+0.0597957
+0.0965691
+0.0963192
+0.0961187
+0.0959677
+0.0958666
+0.0958081
+0.0957973
+0.0958366
+0.095926
+0.0960652
+0.0962541
+0.0964924
+0.0967797
+0.0971156
+0.0974995
+0.0974719
+0.0964244
+0.0954156
+0.0944436
+0.0935078
+0.0926143
+0.0917644
+0.0909594
+0.0902004
+0.0894886
+0.0888251
+0.0871698
+0.0851319
+0.0831018
+0.08108
+0.0790664
+0.0770586
+0.0750609
+0.0730743
+0.0710997
+0.0691381
+0.0671907
+0.0652587
+0.0633436
+0.0614468
+0.0595703
+0.0577158
+0.0558857
+0.0540776
+0.0522979
+0.0505506
+0.048839
+0.0471671
+0.0455392
+0.0439603
+0.0424357
+0.0409715
+0.0395691
+0.0382301
+0.0369725
+0.0358049
+0.0347363
+0.0337762
+0.032934
+0.032219
+0.0315493
+0.0304781
+0.0295307
+0.0287196
+0.0280564
+0.0275519
+0.0272149
+0.0270498
+0.0270305
+0.0271883
+0.0275202
+0.0279979
+0.027756
+0.0276652
+0.0277476
+0.0280017
+0.0284228
+0.0290037
+0.0297351
+0.0305901
+0.0315603
+0.0326489
+0.0338444
+0.035136
+0.0365134
+0.0379673
+0.0394893
+0.0410718
+0.042708
+0.0443815
+0.0457753
+0.0472283
+0.0487364
+0.0502948
+0.0518988
+0.0535445
+0.055228
+0.0569461
+0.0586956
+0.0604738
+0.0980392
+0.0977931
+0.0975955
+0.0974468
+0.0973472
+0.0972896
+0.097279
+0.0973178
+0.0974058
+0.0975429
+0.0977289
+0.0979636
+0.0982466
+0.0985775
+0.0989558
+0.0993809
+0.0983641
+0.0973754
+0.0964191
+0.0955027
+0.094628
+0.0937964
+0.093009
+0.0922668
+0.0915711
+0.089745
+0.0877123
+0.0856873
+0.0836706
+0.0816629
+0.0796611
+0.0776686
+0.0756871
+0.0737173
+0.0717604
+0.0698174
+0.0678895
+0.065978
+0.0640843
+0.0622102
+0.0603565
+0.0585219
+0.0567125
+0.0549308
+0.0531798
+0.0514624
+0.0497822
+0.0481431
+0.0465493
+0.0450058
+0.0435178
+0.0420913
+0.0407275
+0.0394278
+0.0382097
+0.037081
+0.0360503
+0.0351261
+0.0343171
+0.0336315
+0.0329625
+0.0319387
+0.0310359
+0.0302651
+0.0296366
+0.0291594
+0.0288412
+0.0286848
+0.0286666
+0.0288155
+0.0291288
+0.0295183
+0.0292889
+0.0292029
+0.029281
+0.0295218
+0.0299216
+0.030474
+0.0311709
+0.0320024
+0.0329326
+0.0339772
+0.0351276
+0.0363736
+0.0377059
+0.0391155
+0.0405944
+0.0421354
+0.0437319
+0.045378
+0.0467604
+0.0481837
+0.0496628
+0.051193
+0.0527697
+0.0543891
+0.0560472
+0.0577409
+0.059467
+0.0612229
+0.0995358
+0.0992934
+0.0990988
+0.0989524
+0.0988543
+0.0987976
+0.0987871
+0.0988253
+0.0989119
+0.099047
+0.0992302
+0.0994614
+0.0997401
+0.100066
+0.100439
+0.100858
+0.100314
+0.0993418
+0.0984038
+0.097506
+0.0966495
+0.0958354
+0.0948658
+0.0937104
+0.0923524
+0.0903252
+0.0883058
+0.0862947
+0.0842926
+0.082298
+0.0803112
+0.0783352
+0.0763709
+0.0744193
+0.0724814
+0.0705582
+0.0686511
+0.0667614
+0.0648886
+0.0630335
+0.0612007
+0.0593921
+0.05761
+0.0558571
+0.054136
+0.0524499
+0.0508024
+0.0491972
+0.0476388
+0.0461317
+0.0446813
+0.0432931
+0.0419683
+0.0407083
+0.0395297
+0.0384398
+0.0374465
+0.0365576
+0.035781
+0.035124
+0.0344571
+0.033479
+0.0326189
+0.0318864
+0.0312904
+0.0308389
+0.0305382
+0.0303899
+0.0303727
+0.0305132
+0.0308093
+0.0311187
+0.0309012
+0.0308197
+0.0308937
+0.0311221
+0.0315015
+0.0320267
+0.0326905
+0.0334843
+0.0343744
+0.0353765
+0.0364828
+0.037684
+0.0389715
+0.0403369
+0.0417726
+0.0432717
+0.0448277
+0.0464349
+0.0478256
+0.0492181
+0.0506671
+0.0521678
+0.0537159
+0.0553076
+0.056939
+0.0586069
+0.0603082
+0.0620403
+0.101058
+0.100819
+0.100627
+0.100483
+0.100387
+0.100331
+0.10032
+0.100358
+0.100443
+0.100576
+0.100757
+0.100984
+0.101259
+0.10158
+0.101947
+0.10236
+0.102274
+0.101317
+0.100397
+0.0992232
+0.0979723
+0.0967548
+0.095572
+0.0944253
+0.0929679
+0.0909544
+0.0889493
+0.0869531
+0.084966
+0.0829852
+0.0810152
+0.0790569
+0.077111
+0.0751786
+0.0732607
+0.0713586
+0.0694704
+0.0675991
+0.0657475
+0.0639174
+0.0621107
+0.0603294
+0.0585758
+0.0568526
+0.0551626
+0.0535089
+0.051895
+0.0503247
+0.0488023
+0.0473323
+0.0459198
+0.0445702
+0.0432845
+0.042064
+0.0409244
+0.0398727
+0.0389159
+0.0380614
+0.0373161
+0.0366866
+0.0360229
+0.0350885
+0.0342689
+0.0335724
+0.0330069
+0.0325791
+0.0322946
+0.0321538
+0.0321376
+0.0322704
+0.0325505
+0.0327875
+0.0325811
+0.0325038
+0.0325739
+0.0327906
+0.033151
+0.0336504
+0.0342828
+0.0350405
+0.0358921
+0.036853
+0.0379162
+0.0390734
+0.0403165
+0.0416378
+0.0430302
+0.0444869
+0.0460018
+0.0475694
+0.0489524
+0.0503241
+0.0517446
+0.053215
+0.0547335
+0.0562963
+0.0578999
+0.0595409
+0.0612163
+0.0629234
+0.102604
+0.102369
+0.10218
+0.102038
+0.101943
+0.101888
+0.101878
+0.101915
+0.101999
+0.10213
+0.102307
+0.102532
+0.102802
+0.103118
+0.10348
+0.103887
+0.10386
+0.102525
+0.101221
+0.0999466
+0.0987049
+0.0974965
+0.0963229
+0.0951852
+0.0936306
+0.0916317
+0.0896417
+0.0876613
+0.0856879
+0.0837242
+0.081772
+0.0798322
+0.0779057
+0.0759933
+0.0740927
+0.0722083
+0.0703416
+0.0684941
+0.0666674
+0.0648633
+0.0630836
+0.0613306
+0.0596065
+0.057914
+0.0562559
+0.0546353
+0.0530556
+0.0515207
+0.0500347
+0.048602
+0.0472275
+0.0459164
+0.0446695
+0.0434878
+0.0423865
+0.0413719
+0.0404507
+0.0396293
+0.038914
+0.0383108
+0.0376512
+0.0367582
+0.0359766
+0.0353138
+0.0347766
+0.0343709
+0.0341014
+0.0339675
+0.0339521
+0.0340779
+0.0343432
+0.0345146
+0.0343186
+0.0342452
+0.0343118
+0.0345176
+0.0348601
+0.0353354
+0.0359381
+0.0366617
+0.0374765
+0.0383977
+0.0394192
+0.0405335
+0.0417332
+0.043011
+0.0443603
+0.0457747
+0.0472483
+0.0487759
+0.0501497
+0.0514894
+0.052886
+0.0543303
+0.0558185
+0.0573518
+0.0589267
+0.0605398
+0.0621883
+0.0638694
+0.104173
+0.103941
+0.103756
+0.103616
+0.103522
+0.103468
+0.103458
+0.103494
+0.103577
+0.103706
+0.103881
+0.104102
+0.104368
+0.10468
+0.105036
+0.105437
+0.104597
+0.103272
+0.101977
+0.100713
+0.0994803
+0.0982815
+0.0971173
+0.095989
+0.0943396
+0.092356
+0.0903819
+0.0884165
+0.0864592
+0.0845134
+0.0825799
+0.0806585
+0.0787484
+0.0768533
+0.0749742
+0.0731125
+0.0712695
+0.0694468
+0.0676458
+0.0658685
+0.0641167
+0.0623927
+0.0606988
+0.0590376
+0.0574119
+0.0558249
+0.0542799
+0.0527806
+0.0513311
+0.0499356
+0.0485988
+0.0473257
+0.0461133
+0.0449695
+0.0439054
+0.0429268
+0.0420396
+0.0412499
+0.0405631
+0.0399848
+0.0393341
+0.0384802
+0.0377343
+0.0371029
+0.036592
+0.0362066
+0.0359508
+0.0358233
+0.0358087
+0.035928
+0.0361798
+0.0362918
+0.0361055
+0.0360358
+0.0360991
+0.0362947
+0.0366206
+0.0370733
+0.0376482
+0.0383395
+0.0391194
+0.0400028
+0.0409843
+0.0420572
+0.0432146
+0.0444498
+0.0457567
+0.0471292
+0.0485618
+0.0500492
+0.0514124
+0.0527201
+0.054085
+0.0555027
+0.0569672
+0.0584703
+0.0600159
+0.0616005
+0.0632214
+0.0648757
+0.105764
+0.105536
+0.105353
+0.105216
+0.105123
+0.10507
+0.10506
+0.105096
+0.105177
+0.105304
+0.105477
+0.105694
+0.105957
+0.106264
+0.106615
+0.106719
+0.105375
+0.10406
+0.102774
+0.10152
+0.100298
+0.0991087
+0.0979544
+0.0968358
+0.0950937
+0.0931262
+0.0911687
+0.089218
+0.0872787
+0.0853497
+0.083432
+0.0815279
+0.0796387
+0.0777652
+0.0759088
+0.0740706
+0.072252
+0.0704546
+0.0686801
+0.0669303
+0.065207
+0.0635126
+0.0618494
+0.06022
+0.0586271
+0.0570739
+0.0555636
+0.0540999
+0.0526867
+0.051328
+0.0500285
+0.0487869
+0.0476066
+0.0464996
+0.0454713
+0.0445271
+0.0436725
+0.0429128
+0.0422531
+0.0416982
+0.0410649
+0.0402477
+0.0395352
+0.038933
+0.0384464
+0.0380799
+0.0378367
+0.037715
+0.0377012
+0.0378145
+0.0380538
+0.038105
+0.0379347
+0.0378684
+0.0379286
+0.0381149
+0.0384253
+0.038857
+0.0394059
+0.0400669
+0.0408137
+0.0416612
+0.0426046
+0.0436376
+0.0447542
+0.0459481
+0.0472135
+0.0485448
+0.0499368
+0.0513845
+0.052736
+0.0540116
+0.0553446
+0.0567309
+0.0581667
+0.0596484
+0.0611641
+0.0627198
+0.0643124
+0.0659394
+0.107377
+0.107152
+0.106972
+0.106836
+0.106745
+0.106693
+0.106683
+0.106719
+0.106799
+0.106924
+0.107094
+0.107308
+0.107566
+0.107869
+0.108214
+0.107526
+0.106192
+0.104887
+0.103612
+0.102368
+0.101156
+0.0999771
+0.0988329
+0.0977244
+0.095892
+0.0939396
+0.0919954
+0.0900624
+0.0881389
+0.0862275
+0.0843297
+0.0824464
+0.0805787
+0.0787276
+0.0768944
+0.0750803
+0.0732868
+0.0715155
+0.0697679
+0.068046
+0.0663518
+0.0646874
+0.0630552
+0.0614577
+0.0598978
+0.0583783
+0.0569027
+0.0554744
+0.054097
+0.0527747
+0.0515081
+0.0502962
+0.0491522
+0.0480808
+0.0470871
+0.0461759
+0.0453524
+0.0446213
+0.0439872
+0.0434545
+0.0428355
+0.0420535
+0.0413727
+0.0407982
+0.0403344
+0.0399853
+0.0397539
+0.0396338
+0.0396207
+0.0397285
+0.0399563
+0.039951
+0.0397908
+0.0397372
+0.0397947
+0.0399722
+0.0402684
+0.0406805
+0.0412051
+0.0418377
+0.0425535
+0.043367
+0.044274
+0.045269
+0.0463462
+0.0475001
+0.0487252
+0.0500163
+0.0513684
+0.0527769
+0.0541159
+0.0553598
+0.0566611
+0.0580159
+0.0594206
+0.0608718
+0.0623662
+0.0638946
+0.0654586
+0.0670578
+0.109009
+0.108788
+0.108611
+0.108477
+0.108388
+0.108336
+0.108326
+0.108361
+0.10844
+0.108563
+0.10873
+0.108941
+0.109196
+0.109494
+0.109722
+0.108371
+0.107048
+0.105753
+0.104489
+0.103255
+0.102054
+0.100886
+0.0997518
+0.0986536
+0.0967263
+0.0947886
+0.0928622
+0.0909477
+0.089043
+0.0871515
+0.0852742
+0.0834123
+0.0815667
+0.0797386
+0.0779291
+0.0761397
+0.0743718
+0.0726269
+0.0709067
+0.0692132
+0.0675482
+0.065914
+0.064313
+0.0627475
+0.0612204
+0.0597347
+0.0582934
+0.0569
+0.055558
+0.0542697
+0.0530305
+0.0518542
+0.0507453
+0.0497083
+0.0487477
+0.0478682
+0.0470743
+0.0463703
+0.0457605
+0.0452487
+0.0446348
+0.043885
+0.0432333
+0.0426843
+0.0422418
+0.0419093
+0.0416894
+0.0415705
+0.0415579
+0.0416607
+0.041878
+0.0418303
+0.0416773
+0.0416375
+0.0416923
+0.0418618
+0.0421447
+0.0425386
+0.0430406
+0.0436466
+0.0443332
+0.0451146
+0.0459872
+0.0469459
+0.0479855
+0.0491008
+0.050287
+0.051539
+0.0528521
+0.0542221
+0.0555479
+0.0567604
+0.0580303
+0.0593539
+0.0607277
+0.0621484
+0.0636128
+0.0651179
+0.0666572
+0.0682282
+0.0982226
+0.0968541
+0.0955162
+0.0942087
+0.0929345
+0.0916949
+0.0904151
+0.0890919
+0.0877958
+0.0865357
+0.0853134
+0.0841157
+0.0829031
+0.0817313
+0.080602
+0.0795005
+0.0784023
+0.0773505
+0.0763172
+0.0752862
+0.0742592
+0.0732833
+0.0723605
+0.0714931
+0.0706427
+0.069809
+0.0689543
+0.0680946
+0.0672854
+0.0665335
+0.065846
+0.0650163
+0.0639546
+0.0629513
+0.0620091
+0.0611205
+0.0602947
+0.0595373
+0.0588133
+0.0581628
+0.0575842
+0.0570798
+0.0566537
+0.0562951
+0.0560199
+0.0558295
+0.0557245
+0.0557044
+0.055755
+0.0558914
+0.0561131
+0.0563869
+0.0567432
+0.0567452
+0.0558558
+0.0550393
+0.0542989
+0.0536379
+0.0529883
+0.0522167
+0.0515207
+0.0509089
+0.0503851
+0.0499519
+0.0496118
+0.0493666
+0.0492178
+0.0491662
+0.0492122
+0.0493555
+0.0495953
+0.0499273
+0.0500866
+0.049986
+0.0499388
+0.0499504
+0.0500209
+0.0501871
+0.0504107
+0.0506587
+0.0504288
+0.0502933
+0.0502523
+0.0502892
+0.0504212
+0.0506477
+0.0509674
+0.0513787
+0.0518792
+0.0524665
+0.0531378
+0.0538897
+0.0547191
+0.0556225
+0.0565962
+0.0576369
+0.0587408
+0.0599045
+0.0611246
+0.0623978
+0.0968485
+0.0954604
+0.0941028
+0.0927768
+0.0914826
+0.0902231
+0.0889996
+0.0876951
+0.0863848
+0.0851039
+0.0838607
+0.0826568
+0.0814579
+0.080265
+0.0791148
+0.0780091
+0.0769171
+0.0758458
+0.0748231
+0.0737875
+0.0727563
+0.0717599
+0.0708174
+0.0699307
+0.0690939
+0.0682439
+0.0674132
+0.0665589
+0.0657381
+0.0649683
+0.0642591
+0.0635719
+0.0624952
+0.061468
+0.0605028
+0.0595921
+0.0587448
+0.0579671
+0.0572233
+0.0565545
+0.0559593
+0.0554401
+0.0550013
+0.0546319
+0.0543483
+0.0541519
+0.0540437
+0.054023
+0.0540751
+0.0542158
+0.0544444
+0.0547279
+0.055095
+0.0547839
+0.0538621
+0.0530149
+0.0522458
+0.0515585
+0.0509561
+0.0501977
+0.0494758
+0.0488384
+0.0482921
+0.04784
+0.0474847
+0.0472285
+0.0470729
+0.047019
+0.0470671
+0.0472169
+0.0474675
+0.0478117
+0.0479066
+0.0478049
+0.0477555
+0.0477689
+0.0478427
+0.048016
+0.0482439
+0.0485353
+0.0482953
+0.0481538
+0.0481109
+0.0481495
+0.0482874
+0.0485238
+0.0488575
+0.0492863
+0.0498079
+0.0504194
+0.0511175
+0.0518987
+0.0527594
+0.0536957
+0.0547038
+0.0557798
+0.0569197
+0.0581199
+0.0593767
+0.0606866
+0.0955049
+0.094097
+0.0927195
+0.0913737
+0.0900606
+0.0887809
+0.0875373
+0.0863309
+0.0850006
+0.0837049
+0.0824406
+0.0812156
+0.0800319
+0.0788323
+0.0776609
+0.0765342
+0.0754543
+0.074373
+0.07333
+0.0723075
+0.0712822
+0.070265
+0.0693021
+0.0683958
+0.0675485
+0.0667114
+0.0658884
+0.0650607
+0.0642226
+0.0634401
+0.0627063
+0.0620391
+0.0610712
+0.0600281
+0.0590394
+0.0581061
+0.0572369
+0.0564384
+0.0556741
+0.0549865
+0.0543741
+0.0538396
+0.0533877
+0.053007
+0.0527147
+0.0525122
+0.0524006
+0.0523792
+0.052433
+0.0525781
+0.0528137
+0.053106
+0.0534842
+0.0528406
+0.0518843
+0.0510042
+0.0502044
+0.0494887
+0.0488607
+0.0481937
+0.0474439
+0.0467788
+0.0462082
+0.0457354
+0.0453637
+0.0450954
+0.0449325
+0.044876
+0.0449264
+0.0450833
+0.0453456
+0.0457032
+0.0457276
+0.0456247
+0.045573
+0.0455883
+0.0456656
+0.0458458
+0.0460793
+0.0463821
+0.0461671
+0.0460191
+0.0459743
+0.0460147
+0.0461589
+0.0464062
+0.0467549
+0.0472029
+0.0477472
+0.0483847
+0.0491118
+0.0499244
+0.0508186
+0.05179
+0.0528345
+0.0539477
+0.0551256
+0.056364
+0.0576591
+0.0590071
+0.0941931
+0.0927653
+0.0913677
+0.0900017
+0.0886688
+0.0873699
+0.0861059
+0.0848797
+0.0836498
+0.0823344
+0.0810548
+0.0798086
+0.0786037
+0.0774324
+0.0762422
+0.0750943
+0.0739934
+0.0729363
+0.0718724
+0.0708604
+0.0698387
+0.068803
+0.0678193
+0.066893
+0.0660263
+0.0652164
+0.0643898
+0.0635661
+0.0627451
+0.0619465
+0.0611927
+0.0605087
+0.0596869
+0.0586275
+0.0576221
+0.0566659
+0.0557742
+0.0549545
+0.0541692
+0.0534623
+0.0528323
+0.052282
+0.0518165
+0.0514242
+0.0511228
+0.050914
+0.0507989
+0.0507768
+0.0508323
+0.0509819
+0.0512249
+0.0515262
+0.0519159
+0.0509174
+0.0499243
+0.049009
+0.0481761
+0.0474297
+0.0467742
+0.0462066
+0.0454255
+0.0447317
+0.0441346
+0.0436394
+0.0432496
+0.0429682
+0.0427971
+0.0427378
+0.0427907
+0.0429555
+0.0432307
+0.0436028
+0.0435498
+0.0434456
+0.0433913
+0.0434088
+0.0434899
+0.043677
+0.0439174
+0.0442301
+0.044045
+0.0438899
+0.0438429
+0.0438853
+0.0440365
+0.0442957
+0.0446609
+0.0451296
+0.0456987
+0.0463644
+0.0471226
+0.0479689
+0.0488988
+0.0499077
+0.0509907
+0.0521433
+0.053361
+0.0546394
+0.0559744
+0.057362
+0.0929004
+0.0914667
+0.0900489
+0.0886626
+0.0873093
+0.0859905
+0.084707
+0.0834602
+0.0822529
+0.0809984
+0.0796996
+0.0784376
+0.0772113
+0.0760284
+0.0748597
+0.0736913
+0.0725691
+0.0714965
+0.0704528
+0.0694201
+0.0684136
+0.0673804
+0.0663757
+0.0654289
+0.0645427
+0.0637194
+0.062916
+0.0621001
+0.0613103
+0.0604932
+0.059721
+0.05902
+0.0583521
+0.0572681
+0.0562473
+0.055275
+0.0543604
+0.0535191
+0.0527125
+0.0519858
+0.0513376
+0.0507711
+0.0502916
+0.0498873
+0.0495766
+0.0493613
+0.0492425
+0.0492198
+0.049277
+0.0494313
+0.0496819
+0.0499925
+0.0501198
+0.0490166
+0.0479842
+0.0470312
+0.0461626
+0.0453831
+0.0446976
+0.0441103
+0.0434223
+0.0426988
+0.0420729
+0.0415531
+0.0411436
+0.0408476
+0.0406677
+0.0406052
+0.0406609
+0.0408343
+0.0411237
+0.0415117
+0.0413733
+0.0412678
+0.0412106
+0.0412304
+0.0413158
+0.0415105
+0.0417585
+0.042082
+0.0419301
+0.041767
+0.0417177
+0.0417623
+0.0419211
+0.0421933
+0.0425766
+0.043068
+0.0436639
+0.0443601
+0.045152
+0.0460346
+0.0470028
+0.0480515
+0.0491754
+0.0503696
+0.0516291
+0.0529494
+0.0543259
+0.0557546
+0.0916061
+0.090191
+0.0887646
+0.087358
+0.0859841
+0.0846446
+0.0833412
+0.0820747
+0.0808467
+0.07966
+0.0783799
+0.0770992
+0.0758565
+0.0746522
+0.0734934
+0.0723275
+0.0711839
+0.07009
+0.0690484
+0.0680198
+0.0670091
+0.0659955
+0.0649739
+0.0640064
+0.0631002
+0.0622578
+0.061476
+0.0606695
+0.0598629
+0.0590854
+0.0582945
+0.0575761
+0.0569331
+0.0559613
+0.0549163
+0.0539243
+0.0529996
+0.0521362
+0.0513079
+0.050561
+0.0498943
+0.0493113
+0.0488174
+0.0484008
+0.0480805
+0.0478584
+0.047736
+0.0477125
+0.0477715
+0.0479307
+0.0481891
+0.0485092
+0.0482762
+0.047141
+0.0460666
+0.0450731
+0.0441659
+0.0433506
+0.0426324
+0.0420163
+0.0414381
+0.0406824
+0.0400249
+0.0394782
+0.0390469
+0.0387349
+0.0385451
+0.0384792
+0.038538
+0.0387208
+0.0390252
+0.0394082
+0.0391984
+0.0390913
+0.0390309
+0.0390534
+0.0391435
+0.0393466
+0.039603
+0.0399386
+0.0398233
+0.0396516
+0.0395997
+0.0396466
+0.0398139
+0.0401004
+0.0405035
+0.0410197
+0.041645
+0.0423744
+0.0432027
+0.0441243
+0.0451335
+0.0462246
+0.0473918
+0.0486298
+0.0499333
+0.0512972
+0.0527169
+0.054188
+0.0903457
+0.0889109
+0.0875073
+0.0860893
+0.0846948
+0.0833346
+0.0820104
+0.0807239
+0.079476
+0.0782685
+0.0770999
+0.0757975
+0.0745368
+0.0733156
+0.0721353
+0.0709945
+0.0698398
+0.0687246
+0.0676619
+0.0666543
+0.0656429
+0.0646255
+0.0636146
+0.0626282
+0.0617017
+0.06084
+0.0600459
+0.0592608
+0.0584582
+0.0577038
+0.0569166
+0.0561806
+0.0555214
+0.0547111
+0.0536418
+0.0526257
+0.0516823
+0.0507995
+0.0499581
+0.0491926
+0.0485071
+0.0479072
+0.0473987
+0.0469695
+0.0466394
+0.0464104
+0.0462841
+0.0462599
+0.0463208
+0.0464849
+0.0467513
+0.0470812
+0.0464627
+0.0452856
+0.0441744
+0.0431373
+0.0421886
+0.0413343
+0.0405804
+0.0399326
+0.0393961
+0.0386827
+0.0379928
+0.0374164
+0.0369611
+0.0366313
+0.0364305
+0.0363608
+0.036423
+0.0366164
+0.036935
+0.0372474
+0.0370254
+0.0369166
+0.0368526
+0.0368779
+0.0369734
+0.0371859
+0.0374517
+0.0378006
+0.037726
+0.0375447
+0.03749
+0.0375396
+0.0377162
+0.0380185
+0.0384434
+0.038987
+0.0396443
+0.0404098
+0.0412776
+0.0422412
+0.0432943
+0.0444306
+0.0456437
+0.0469279
+0.0482773
+0.0496867
+0.0511511
+0.052666
+0.0891213
+0.0876665
+0.0862428
+0.0848517
+0.0834432
+0.0820622
+0.0807171
+0.0794097
+0.0781418
+0.0769142
+0.0757293
+0.0745375
+0.0732551
+0.0720166
+0.070819
+0.0696653
+0.0685302
+0.0674027
+0.0663189
+0.0652906
+0.0643097
+0.0632854
+0.0622971
+0.0612973
+0.0603504
+0.0594692
+0.0586565
+0.0578923
+0.0571029
+0.0563305
+0.0555897
+0.054834
+0.0541565
+0.0535214
+0.0524278
+0.0513878
+0.0504212
+0.0495159
+0.0486523
+0.0478734
+0.0471808
+0.0465638
+0.0460366
+0.0455946
+0.0452544
+0.0450184
+0.0448882
+0.0448647
+0.04493
+0.0450993
+0.0453737
+0.0454452
+0.044683
+0.0434578
+0.0423101
+0.0412271
+0.0402333
+0.0393366
+0.0385436
+0.037861
+0.0372947
+0.0367038
+0.0359793
+0.0353701
+0.0348881
+0.0345386
+0.0343255
+0.0342516
+0.0343176
+0.0345228
+0.0348569
+0.0350903
+0.0348546
+0.0347438
+0.0346758
+0.0347045
+0.0348059
+0.0350289
+0.0353049
+0.035669
+0.03564
+0.0354481
+0.0353901
+0.0354427
+0.0356297
+0.0359495
+0.0363986
+0.0369722
+0.0376647
+0.0384697
+0.0393802
+0.0403891
+0.0414893
+0.0426736
+0.0439353
+0.045268
+0.0466654
+0.048122
+0.0496326
+0.0511924
+0.0878529
+0.0864597
+0.0850158
+0.0836043
+0.0822269
+0.0808292
+0.0794632
+0.0781348
+0.0768459
+0.0755985
+0.0743933
+0.0732331
+0.0720173
+0.0707571
+0.069543
+0.0683717
+0.0672474
+0.0661194
+0.0650219
+0.0639727
+0.0629823
+0.0619937
+0.0609924
+0.0600094
+0.0590495
+0.0581485
+0.0573172
+0.0565585
+0.055793
+0.0550076
+0.0542938
+0.053528
+0.0528337
+0.0522222
+0.0512788
+0.0502149
+0.0492253
+0.0482976
+0.0474118
+0.0466122
+0.0459034
+0.0452697
+0.0447321
+0.0442772
+0.0439268
+0.0436836
+0.0435494
+0.0435252
+0.0435979
+0.0437722
+0.0436751
+0.0432811
+0.0429154
+0.0416649
+0.040467
+0.0393461
+0.0383036
+0.0373605
+0.0365247
+0.0358036
+0.0352043
+0.034733
+0.0339878
+0.0333422
+0.0328305
+0.0324587
+0.032232
+0.0321532
+0.0322235
+0.0324419
+0.0327936
+0.0329376
+0.0326864
+0.0325734
+0.0325009
+0.0325333
+0.0326415
+0.0328764
+0.0331612
+0.033545
+0.0335646
+0.0333607
+0.0333
+0.0333578
+0.0335565
+0.0338959
+0.0343718
+0.0349787
+0.0357099
+0.0365579
+0.0375148
+0.0385726
+0.0397231
+0.0409585
+0.0422714
+0.0436549
+0.0451023
+0.0466078
+0.048166
+0.0497716
+0.0865541
+0.0852377
+0.0838281
+0.0823963
+0.0809984
+0.0796362
+0.0782506
+0.0769012
+0.0755913
+0.0743228
+0.073098
+0.0719175
+0.0707845
+0.0695438
+0.0683082
+0.0671214
+0.0659791
+0.0648767
+0.0637645
+0.0627038
+0.061693
+0.0607445
+0.0597315
+0.0587733
+0.0577974
+0.0568816
+0.0560315
+0.0552551
+0.0545136
+0.0537367
+0.0530057
+0.0522812
+0.0515702
+0.0509434
+0.0501895
+0.0491118
+0.0480995
+0.0471497
+0.0462419
+0.0454217
+0.044694
+0.044043
+0.043492
+0.043031
+0.0426704
+0.04242
+0.0422818
+0.0422568
+0.0423307
+0.0420418
+0.0415343
+0.0411198
+0.0408188
+0.0399067
+0.0386595
+0.0374935
+0.0364033
+0.0354097
+0.0345267
+0.033763
+0.0331267
+0.0326255
+0.0320189
+0.0313363
+0.0307911
+0.0303945
+0.0301522
+0.030068
+0.0301432
+0.0303765
+0.0307478
+0.0307904
+0.0305214
+0.030406
+0.0303283
+0.0303649
+0.0304808
+0.0307258
+0.0310209
+0.0314192
+0.0314985
+0.0312811
+0.0312164
+0.0312874
+0.0314992
+0.0318604
+0.0323663
+0.0330101
+0.0337839
+0.0346791
+0.0356864
+0.0367968
+0.0380011
+0.0392907
+0.0406575
+0.042094
+0.0435934
+0.0451492
+0.0467546
+0.0483923
+0.0852917
+0.0839556
+0.082656
+0.0812293
+0.079811
+0.0784283
+0.0770811
+0.0757109
+0.07438
+0.0730905
+0.0718447
+0.0706449
+0.0694916
+0.0683792
+0.0671222
+0.065914
+0.0647574
+0.0636473
+0.0625468
+0.0614705
+0.0604545
+0.0594873
+0.0585255
+0.0575472
+0.0565989
+0.0556679
+0.0547989
+0.0540048
+0.0532891
+0.0525263
+0.0517783
+0.0510946
+0.0503702
+0.0497284
+0.0491646
+0.0480832
+0.0470488
+0.0460773
+0.045148
+0.0443076
+0.0435612
+0.0428932
+0.0423272
+0.0418624
+0.0414917
+0.0412341
+0.0410919
+0.0410663
+0.0405472
+0.0399275
+0.0393983
+0.0389618
+0.038644
+0.0381016
+0.0368937
+0.03567
+0.0345376
+0.0334886
+0.0325536
+0.0317424
+0.0310648
+0.0305297
+0.0300802
+0.0293567
+0.0287741
+0.0283493
+0.0280893
+0.0279989
+0.0280796
+0.02833
+0.0287235
+0.0286497
+0.0283604
+0.0282387
+0.0281585
+0.0282
+0.0283248
+0.0285779
+0.0288874
+0.0292985
+0.0294504
+0.0292178
+0.0291485
+0.0292346
+0.0294611
+0.029847
+0.0303864
+0.0310713
+0.0318922
+0.0328389
+0.033901
+0.0350679
+0.0363296
+0.0376765
+0.0390998
+0.0405915
+0.0421443
+0.0437478
+0.0453879
+0.0470729
+0.0840676
+0.0827117
+0.0813921
+0.0801054
+0.0786668
+0.0772636
+0.0758976
+0.074566
+0.0732143
+0.0719039
+0.0706372
+0.0694165
+0.0682443
+0.0671211
+0.0659876
+0.0647582
+0.0635806
+0.0624576
+0.0613831
+0.0602861
+0.0592498
+0.0582774
+0.0573614
+0.0563795
+0.05545
+0.0545107
+0.0536229
+0.0528112
+0.052079
+0.0513767
+0.0506159
+0.0499354
+0.0492385
+0.0485817
+0.048016
+0.0471162
+0.0460784
+0.045086
+0.0441358
+0.0432758
+0.0425113
+0.0418266
+0.041246
+0.040775
+0.0403975
+0.0401329
+0.0399868
+0.0392327
+0.038469
+0.037817
+0.0372643
+0.0368076
+0.036471
+0.0362639
+0.0350906
+0.03389
+0.0327007
+0.0316026
+0.03061
+0.0297458
+0.0290217
+0.0284481
+0.0280297
+0.0274089
+0.0267843
+0.0263274
+0.0260473
+0.0259498
+0.0260368
+0.0263054
+0.0267254
+0.026514
+0.0262044
+0.0260726
+0.0259922
+0.0260394
+0.026174
+0.026437
+0.0267632
+0.0271889
+0.0274243
+0.0271744
+0.0270999
+0.0272021
+0.0274465
+0.0278604
+0.0284375
+0.0291681
+0.0300411
+0.0310443
+0.0321657
+0.0333933
+0.0347159
+0.036123
+0.0376052
+0.0391538
+0.0407543
+0.042397
+0.0440874
+0.0458202
+0.0828459
+0.0815076
+0.0801683
+0.078867
+0.0775675
+0.0761441
+0.0747577
+0.0734105
+0.0720962
+0.0707652
+0.0694777
+0.0682362
+0.0670434
+0.0659019
+0.064812
+0.0636569
+0.0624585
+0.061315
+0.0602294
+0.0591591
+0.0581027
+0.0571108
+0.056176
+0.0552698
+0.0543256
+0.0534074
+0.0525121
+0.0516829
+0.0509345
+0.0502705
+0.049523
+0.0488275
+0.0481703
+0.0475085
+0.0469298
+0.046231
+0.0451748
+0.0441812
+0.0432111
+0.0423322
+0.0415504
+0.0408497
+0.040255
+0.0397723
+0.039389
+0.0391121
+0.0381084
+0.0372068
+0.036404
+0.0357143
+0.0351367
+0.034658
+0.0343003
+0.03408
+0.0333126
+0.0320961
+0.0309049
+0.0297571
+0.028702
+0.0277786
+0.0270017
+0.0263843
+0.0259374
+0.0254961
+0.0248284
+0.0243348
+0.0240315
+0.0239257
+0.0240201
+0.0243061
+0.0247573
+0.0243794
+0.0240546
+0.0239109
+0.0238303
+0.0238843
+0.0240285
+0.024305
+0.0246506
+0.0250911
+0.0254256
+0.0251558
+0.0250753
+0.0251858
+0.025461
+0.0259067
+0.0265263
+0.0273081
+0.0282386
+0.0293037
+0.0304892
+0.0317816
+0.0331685
+0.0346385
+0.0361815
+0.0377777
+0.0394227
+0.0411187
+0.0428595
+0.04464
+0.0816457
+0.0803009
+0.0789862
+0.0776652
+0.0763841
+0.0750718
+0.0736652
+0.0722977
+0.0709714
+0.0696767
+0.0683688
+0.0671068
+0.0658936
+0.0647317
+0.0636241
+0.0625711
+0.0613906
+0.0602268
+0.0591213
+0.0580456
+0.0570167
+0.0560056
+0.0550524
+0.0541668
+0.0532617
+0.0523659
+0.0514592
+0.0506243
+0.04986
+0.0491815
+0.0484945
+0.0477944
+0.047175
+0.0465115
+0.0459225
+0.0454294
+0.0443591
+0.0433679
+0.0423795
+0.0414831
+0.0406849
+0.0399691
+0.0393612
+0.0388673
+0.0383449
+0.0372028
+0.0361499
+0.0351981
+0.0343546
+0.0336229
+0.0330171
+0.0325139
+0.0321324
+0.0318971
+0.0315866
+0.0303008
+0.0291233
+0.0279445
+0.0268373
+0.0258473
+0.0250105
+0.0243427
+0.023858
+0.0235367
+0.0229101
+0.0223742
+0.0220439
+0.0219286
+0.0220316
+0.0223426
+0.0226327
+0.0222442
+0.0219129
+0.0217551
+0.0216742
+0.0217363
+0.0218905
+0.0221825
+0.0225529
+0.0230045
+0.0234611
+0.0231685
+0.0230811
+0.0232011
+0.0235121
+0.0239939
+0.0246617
+0.0255007
+0.0264948
+0.0276271
+0.0288815
+0.0302427
+0.031697
+0.0332322
+0.0348223
+0.036469
+0.0381705
+0.0399197
+0.0417106
+0.0435381
+0.0804845
+0.0791228
+0.0777961
+0.0765072
+0.0752064
+0.0739477
+0.0726225
+0.0712349
+0.0698885
+0.0685856
+0.0673129
+0.0660308
+0.0647974
+0.0636155
+0.0624881
+0.061418
+0.0603818
+0.0591982
+0.0580731
+0.0569776
+0.0559464
+0.0549656
+0.0539942
+0.053091
+0.0522559
+0.0513442
+0.0504727
+0.0496281
+0.0488602
+0.0481676
+0.047544
+0.0468352
+0.0462089
+0.0455861
+0.0449987
+0.044496
+0.0436382
+0.0426303
+0.0416467
+0.0407341
+0.039921
+0.0391914
+0.0385711
+0.0378142
+0.0365244
+0.0353235
+0.0342196
+0.0332125
+0.0323228
+0.0315449
+0.0309021
+0.0303764
+0.0299677
+0.0297153
+0.0296132
+0.0285608
+0.0273083
+0.0261755
+0.0250175
+0.0239607
+0.0230555
+0.0223293
+0.0217999
+0.0214554
+0.0210446
+0.0204599
+0.0200982
+0.0199716
+0.0200846
+0.0204253
+0.0205219
+0.0201136
+0.0197799
+0.019607
+0.0195258
+0.0195978
+0.019764
+0.0200667
+0.0204747
+0.0209389
+0.0214058
+0.0212213
+0.0211258
+0.0212568
+0.0216094
+0.0221328
+0.022855
+0.0237579
+0.0248218
+0.0260271
+0.0273549
+0.0287884
+0.0303124
+0.031894
+0.0335414
+0.035248
+0.0370057
+0.0388074
+0.0406474
+0.0425205
+0.0792752
+0.077966
+0.0766356
+0.0753354
+0.074069
+0.0727965
+0.0715622
+0.0702244
+0.0688582
+0.0675355
+0.0662588
+0.0650107
+0.0637576
+0.0625561
+0.0614093
+0.0603202
+0.0592918
+0.0582339
+0.0570898
+0.055975
+0.054925
+0.0539435
+0.0530056
+0.0520852
+0.051242
+0.0503954
+0.0495463
+0.048703
+0.0479275
+0.0472259
+0.0466121
+0.0459549
+0.0453271
+0.0447488
+0.0441454
+0.043634
+0.0430169
+0.0419941
+0.0410179
+0.040091
+0.0392646
+0.0385226
+0.037531
+0.0361001
+0.0347467
+0.0334821
+0.0323167
+0.0312543
+0.0303071
+0.0294833
+0.0287945
+0.0282426
+0.0278071
+0.0275349
+0.0274329
+0.0268868
+0.0255524
+0.0243423
+0.0232476
+0.0221302
+0.0211468
+0.0203526
+0.0197703
+0.0193983
+0.0192426
+0.0186067
+0.0182082
+0.0180684
+0.0181932
+0.0185686
+0.0184298
+0.0179974
+0.0176466
+0.0174654
+0.017388
+0.0174715
+0.0176532
+0.0179679
+0.0183987
+0.0189014
+0.0193646
+0.0193263
+0.0192214
+0.0193653
+0.0197526
+0.0203374
+0.021121
+0.0220949
+0.0232352
+0.0245185
+0.0259237
+0.0274302
+0.029001
+0.0306473
+0.0323583
+0.0341241
+0.0359368
+0.0377895
+0.0396767
+0.0415936
+0.0780976
+0.076787
+0.0754905
+0.0741805
+0.0729035
+0.071667
+0.0704193
+0.0692079
+0.0678831
+0.0665409
+0.0652448
+0.0639947
+0.0627771
+0.0615565
+0.0603907
+0.0592829
+0.0582365
+0.0572329
+0.0561747
+0.0550414
+0.0539732
+0.0529741
+0.052048
+0.0511535
+0.0502947
+0.049518
+0.0486611
+0.0478604
+0.047071
+0.0463565
+0.0457309
+0.0451607
+0.044525
+0.0439816
+0.0433855
+0.0428651
+0.0424515
+0.0414641
+0.0404971
+0.0395589
+0.0387212
+0.0374653
+0.0359177
+0.03444
+0.0330187
+0.0316852
+0.0304511
+0.0293289
+0.0283175
+0.0274417
+0.0267002
+0.0261151
+0.0256517
+0.0253563
+0.0252483
+0.025198
+0.0238684
+0.0225682
+0.0214134
+0.0203525
+0.0192981
+0.0184244
+0.0177791
+0.0173739
+0.0171998
+0.0168347
+0.0163932
+0.0162377
+0.0163765
+0.0167926
+0.0163588
+0.0159002
+0.0155292
+0.0153289
+0.0152559
+0.015349
+0.0155645
+0.015894
+0.0163374
+0.0168727
+0.0173415
+0.0175005
+0.0173845
+0.0175435
+0.0179701
+0.0186267
+0.0194794
+0.0205313
+0.0217536
+0.0231194
+0.0245984
+0.026155
+0.0277973
+0.0295108
+0.031284
+0.0331072
+0.0349726
+0.0368738
+0.0388055
+0.0407634
+0.0769643
+0.0756341
+0.0743447
+0.0730626
+0.0717731
+0.0705199
+0.0693128
+0.0680902
+0.0669068
+0.0656045
+0.0642894
+0.0630204
+0.0617994
+0.0606196
+0.0594354
+0.0583095
+0.0572453
+0.0562463
+0.0552392
+0.0541804
+0.0530948
+0.0520789
+0.0511366
+0.0502722
+0.0494264
+0.0486358
+0.0478599
+0.047067
+0.0463024
+0.0455758
+0.0449394
+0.0444021
+0.0438177
+0.04327
+0.0427245
+0.042196
+0.0417757
+0.0410442
+0.0400685
+0.0391288
+0.0376551
+0.0359826
+0.0343683
+0.0328209
+0.0313486
+0.0299408
+0.0286316
+0.0274351
+0.0263598
+0.0254191
+0.0246227
+0.0239941
+0.0235027
+0.02318
+0.0230618
+0.0230164
+0.0222727
+0.0208734
+0.0196193
+0.0185244
+0.017526
+0.0165615
+0.0158405
+0.015395
+0.0151983
+0.0151669
+0.014681
+0.0145073
+0.0146624
+0.014794
+0.0143221
+0.0138006
+0.0134353
+0.0132101
+0.0131372
+0.0132489
+0.0135081
+0.013856
+0.0143144
+0.0148694
+0.0153645
+0.0157679
+0.0156391
+0.0158156
+0.0162875
+0.0170253
+0.0179552
+0.0190913
+0.0204001
+0.0218381
+0.0233732
+0.0250063
+0.0267192
+0.0284977
+0.0303301
+0.0322074
+0.034122
+0.036068
+0.0380407
+0.0400361
+0.0758716
+0.0745278
+0.0732189
+0.0719529
+0.0706851
+0.0694123
+0.0681861
+0.0670091
+0.065823
+0.0646723
+0.0633954
+0.0621081
+0.0608689
+0.0596843
+0.0585448
+0.0573987
+0.0563145
+0.0552959
+0.0543329
+0.0533509
+0.0522935
+0.0512617
+0.0503041
+0.0494251
+0.0485242
+0.04758
+0.0467195
+0.0459475
+0.0452683
+0.0446864
+0.0441916
+0.0436964
+0.0432016
+0.0426544
+0.0421354
+0.0416115
+0.0411853
+0.040738
+0.0397548
+0.0380501
+0.036303
+0.0345752
+0.0328919
+0.0312716
+0.0297245
+0.0282586
+0.0268675
+0.0255886
+0.0244396
+0.023424
+0.0225667
+0.0218795
+0.0213622
+0.0210067
+0.0208762
+0.0208367
+0.0206367
+0.0192788
+0.0179134
+0.0167245
+0.0157117
+0.0147888
+0.0139766
+0.0134753
+0.0132568
+0.0133911
+0.0131023
+0.0129073
+0.0130814
+0.0127074
+0.0123383
+0.0117289
+0.011378
+0.0111193
+0.0110466
+0.0111762
+0.0114897
+0.0118181
+0.0123392
+0.0129009
+0.0134538
+0.0140882
+0.0140192
+0.0142158
+0.0147391
+0.015556
+0.0165811
+0.0178051
+0.0191812
+0.0206816
+0.0222965
+0.0240029
+0.0257826
+0.0276214
+0.0295083
+0.0314347
+0.0333937
+0.0353798
+0.0373888
+0.0394172
+0.0747827
+0.0734674
+0.072142
+0.0708568
+0.0696168
+0.068357
+0.0671115
+0.0659153
+0.0647712
+0.0636258
+0.0625115
+0.0612607
+0.0600039
+0.0588019
+0.0576582
+0.0565463
+0.0554455
+0.0544106
+0.0534455
+0.052499
+0.0512475
+0.0499883
+0.0487827
+0.0476425
+0.0465776
+0.0455931
+0.0446944
+0.0438867
+0.0431752
+0.0425647
+0.0420502
+0.0416318
+0.0413255
+0.0411338
+0.0410582
+0.0410993
+0.040702
+0.0403852
+0.0386211
+0.036787
+0.0349924
+0.0332292
+0.0314988
+0.0298029
+0.0281752
+0.0266284
+0.0251706
+0.0238007
+0.0225607
+0.0214672
+0.020536
+0.019781
+0.0192306
+0.0188373
+0.0186917
+0.0186596
+0.01877
+0.0176333
+0.0163237
+0.0150094
+0.013908
+0.0130192
+0.0122102
+0.011633
+0.0114058
+0.0115617
+0.0116258
+0.0114599
+0.0113311
+0.0106517
+0.0103031
+0.00970643
+0.00931622
+0.00907362
+0.00898549
+0.00913825
+0.00945613
+0.009843
+0.0104263
+0.0110131
+0.0116306
+0.0123075
+0.0125734
+0.0127923
+0.0133714
+0.0142496
+0.015352
+0.0166665
+0.0181203
+0.0197016
+0.0213906
+0.0231638
+0.0250033
+0.0268955
+0.02883
+0.0307988
+0.0327957
+0.034816
+0.0368557
+0.0389119
+0.0737418
+0.0724087
+0.0711164
+0.0698122
+0.0685533
+0.0673422
+0.0660917
+0.0648771
+0.0637143
+0.0626066
+0.0615063
+0.0604255
+0.0592074
+0.0579889
+0.0568288
+0.0557307
+0.0546505
+0.0536002
+0.0522819
+0.0508599
+0.0494941
+0.0481891
+0.046949
+0.0457633
+0.0446536
+0.0436257
+0.0426856
+0.0418392
+0.0410922
+0.0404503
+0.0399141
+0.0394731
+0.0391499
+0.0389474
+0.0388676
+0.0389111
+0.0390598
+0.0392769
+0.0374978
+0.0356059
+0.0337503
+0.031937
+0.0301604
+0.0284272
+0.0267159
+0.0250792
+0.0235329
+0.0220854
+0.0207432
+0.0195548
+0.0185332
+0.0177048
+0.0171011
+0.0166736
+0.0165089
+0.0164861
+0.0165978
+0.0159072
+0.0146624
+0.0134264
+0.0122012
+0.0112218
+0.0105154
+0.00989557
+0.00968282
+0.00987914
+0.0103273
+0.0102592
+0.00944095
+0.00866217
+0.00825315
+0.0077542
+0.00731568
+0.00704198
+0.00698915
+0.00717308
+0.00751146
+0.0079678
+0.00864614
+0.00925967
+0.00991824
+0.0106779
+0.011351
+0.0115931
+0.0122291
+0.0131558
+0.0143424
+0.0157415
+0.0172733
+0.0189255
+0.020678
+0.0225075
+0.0243965
+0.0263323
+0.0283053
+0.0303082
+0.0323355
+0.0343828
+0.0364468
+0.0385248
+0.0727098
+0.0714016
+0.0700913
+0.0688216
+0.0675442
+0.0663146
+0.0651171
+0.0638947
+0.0627161
+0.0615905
+0.0605232
+0.0594629
+0.0584251
+0.0572482
+0.0560728
+0.0547594
+0.0534543
+0.0521787
+0.0506592
+0.0491903
+0.0477768
+0.0464236
+0.0451363
+0.043913
+0.0427553
+0.0416806
+0.0406956
+0.0398069
+0.0390211
+0.0383444
+0.0377829
+0.0373181
+0.0369761
+0.0367616
+0.036677
+0.0367231
+0.0368778
+0.0371077
+0.0364717
+0.0345236
+0.0326064
+0.0307257
+0.0288888
+0.0270983
+0.0253536
+0.0236318
+0.0219838
+0.0204381
+0.0190045
+0.0176998
+0.016578
+0.0156599
+0.0149761
+0.014518
+0.0143285
+0.0143178
+0.0144313
+0.0142618
+0.0129446
+0.0117545
+0.0106176
+0.00956971
+0.0087843
+0.00832296
+0.00811534
+0.00835974
+0.00853734
+0.00838149
+0.00764158
+0.00673747
+0.0062733
+0.00595487
+0.0053778
+0.00509002
+0.00510728
+0.00531324
+0.00571024
+0.00627624
+0.00700068
+0.00773263
+0.00842367
+0.00925168
+0.0101513
+0.010678
+0.0113653
+0.012357
+0.0136134
+0.0150803
+0.016673
+0.0183792
+0.0201793
+0.0220501
+0.0239752
+0.0259425
+0.027943
+0.0299701
+0.0320181
+0.0340797
+0.0361558
+0.0382446
+0.071689
+0.0703828
+0.0691198
+0.0678341
+0.0665848
+0.0653444
+0.0641475
+0.0629617
+0.0617743
+0.0606365
+0.0595521
+0.0585297
+0.0573946
+0.0558977
+0.0544438
+0.0530406
+0.0516921
+0.0504028
+0.0490806
+0.0475631
+0.0460996
+0.0446957
+0.0433571
+0.04209
+0.0408863
+0.0397611
+0.0387273
+0.0377923
+0.0369637
+0.0362486
+0.0356541
+0.0351675
+0.0348043
+0.0345764
+0.0344864
+0.0345355
+0.0346968
+0.0349411
+0.0351606
+0.0335496
+0.0315732
+0.0296271
+0.0277174
+0.0258524
+0.0240422
+0.022277
+0.0205519
+0.0188893
+0.0173445
+0.0159302
+0.0146793
+0.0136478
+0.0128707
+0.0123726
+0.0121497
+0.0121576
+0.0122734
+0.0122406
+0.0112958
+0.0100456
+0.00896688
+0.00801429
+0.00721118
+0.00680774
+0.00684211
+0.00656993
+0.00635643
+0.00629711
+0.00577657
+0.00495575
+0.00439121
+0.00422362
+0.00359273
+0.00333945
+0.00344492
+0.0036775
+0.00420139
+0.00484886
+0.00563912
+0.00647159
+0.00724965
+0.00810228
+0.00911032
+0.0100778
+0.0108807
+0.0119128
+0.0132115
+0.0147185
+0.0163465
+0.0180836
+0.0199103
+0.0218037
+0.0237425
+0.0257202
+0.0277299
+0.0297651
+0.031821
+0.0338938
+0.0359806
+0.038079
+0.0707214
+0.0693969
+0.0681172
+0.0668847
+0.0656352
+0.0644178
+0.0632199
+0.0620594
+0.0608876
+0.0597393
+0.0586469
+0.0574079
+0.0558326
+0.0543
+0.0528056
+0.0513577
+0.0499638
+0.0486287
+0.0473574
+0.0459826
+0.0444672
+0.04301
+0.0416172
+0.0402954
+0.0390505
+0.037871
+0.0367841
+0.0357984
+0.0349225
+0.0341648
+0.0335333
+0.0330221
+0.0326351
+0.032392
+0.0322959
+0.0323482
+0.0325172
+0.0327778
+0.0329943
+0.0326935
+0.030662
+0.0286541
+0.0266749
+0.0247313
+0.0228326
+0.0209908
+0.0192074
+0.0174785
+0.0157963
+0.0142529
+0.0128673
+0.0116966
+0.0107992
+0.0102413
+0.00997099
+0.0100106
+0.0101296
+0.0100898
+0.00961263
+0.00840379
+0.00731182
+0.00644121
+0.0058724
+0.00540082
+0.00474183
+0.00440155
+0.00418575
+0.00420914
+0.00380843
+0.00331455
+0.00268426
+0.00270073
+0.00228705
+0.00216042
+0.00235626
+0.00262357
+0.0032493
+0.00398752
+0.00477535
+0.00566691
+0.00649135
+0.00742832
+0.00851652
+0.0096033
+0.0107282
+0.0118389
+0.0131439
+0.0146502
+0.0162696
+0.0180103
+0.0198403
+0.0217358
+0.0236784
+0.025661
+0.027675
+0.029714
+0.0317732
+0.0338489
+0.0359383
+0.0380391
+0.0697427
+0.068467
+0.0671695
+0.0659194
+0.0647193
+0.0635113
+0.0623294
+0.0611786
+0.0600585
+0.0589035
+0.0575882
+0.0559322
+0.0543141
+0.0527374
+0.0512059
+0.0497143
+0.048273
+0.0468898
+0.04557
+0.0443192
+0.0428846
+0.0413717
+0.0399218
+0.0385418
+0.0372398
+0.036015
+0.0348703
+0.0338289
+0.0329005
+0.0320951
+0.0314221
+0.0308832
+0.030469
+0.0302084
+0.0301054
+0.0301615
+0.030339
+0.0306183
+0.0308287
+0.0305453
+0.0298839
+0.0278199
+0.0257767
+0.0237598
+0.0217765
+0.019837
+0.0179552
+0.0161481
+0.0144104
+0.0127056
+0.0111649
+0.00982462
+0.0087772
+0.00811421
+0.00779644
+0.00788773
+0.00796804
+0.00796076
+0.00774315
+0.00686865
+0.0057245
+0.00499953
+0.00407846
+0.00345152
+0.00260097
+0.00221891
+0.00203804
+0.00219414
+0.00204006
+0.00170926
+0.00142413
+0.00157592
+0.00188619
+0.00188445
+0.00206364
+0.00245474
+0.00312952
+0.00387234
+0.00462039
+0.00550381
+0.00632719
+0.00727361
+0.0084193
+0.00953713
+0.0107495
+0.0120874
+0.0133787
+0.0148687
+0.0164699
+0.0181914
+0.0200048
+0.0218862
+0.0238165
+0.0257885
+0.0277932
+0.0298242
+0.0318762
+0.0339456
+0.0360294
+0.0381251
+0.068798
+0.0675211
+0.0662808
+0.0650135
+0.0637964
+0.0626322
+0.0614676
+0.0603255
+0.0592291
+0.0579277
+0.0562006
+0.0545047
+0.0528429
+0.0512209
+0.0496425
+0.0481122
+0.0466239
+0.0451903
+0.0438193
+0.042517
+0.0412899
+0.0397865
+0.0382766
+0.0368351
+0.0354704
+0.0341917
+0.0329909
+0.0318882
+0.0309016
+0.0300427
+0.0293226
+0.0287517
+0.0283067
+0.028026
+0.0279149
+0.0279754
+0.0281621
+0.0284636
+0.0286663
+0.0283656
+0.0282236
+0.0271256
+0.0250382
+0.0229567
+0.0208975
+0.0188678
+0.0168784
+0.0149453
+0.0130937
+0.0113274
+0.00961981
+0.00808457
+0.00682409
+0.00600043
+0.00563442
+0.00579337
+0.00578688
+0.00587723
+0.00581657
+0.00497137
+0.00424814
+0.00342
+0.002148
+0.00134833
+0.000528926
+3.56298e-05
+-5.58338e-05
+0.000273575
+0.000628122
+0.00108038
+0.00137155
+0.00144386
+0.00194885
+0.00227062
+0.00263998
+0.00319636
+0.00392157
+0.00460835
+0.00524059
+0.00601725
+0.006824
+0.00770217
+0.00875573
+0.00989164
+0.0111324
+0.0124657
+0.0138709
+0.0153416
+0.0169146
+0.018607
+0.0203944
+0.0222517
+0.0241533
+0.0260998
+0.0280824
+0.0300938
+0.0321287
+0.0341828
+0.0362529
+0.0383364
+0.0678452
+0.066617
+0.0653709
+0.0641697
+0.0629362
+0.0617558
+0.0606316
+0.0595093
+0.0584111
+0.0566292
+0.0548612
+0.0531247
+0.0514228
+0.0497546
+0.0481282
+0.0465481
+0.0450192
+0.0435346
+0.0421097
+0.0407529
+0.039471
+0.0382612
+0.0366885
+0.035182
+0.0337506
+0.0324041
+0.031152
+0.029982
+0.0289305
+0.0280112
+0.0272374
+0.0266219
+0.026149
+0.0258449
+0.0257244
+0.0257901
+0.0259875
+0.0263149
+0.0265086
+0.0261876
+0.0260338
+0.0260639
+0.0243399
+0.0222716
+0.0202177
+0.0181123
+0.0160298
+0.0139802
+0.0119804
+0.0100604
+0.0082557
+0.0065456
+0.00502091
+0.00396187
+0.00350813
+0.00374879
+0.00361724
+0.00387096
+0.00381108
+0.00323669
+0.00263311
+0.00160032
+0.000532474
+-0.000678872
+-0.00139732
+-0.0017405
+-0.00146452
+-0.000732676
+0.000392845
+0.00116076
+0.00184598
+0.00206352
+0.0023196
+0.00331859
+0.00397518
+0.00458051
+0.00526844
+0.00592844
+0.00646284
+0.00712021
+0.00778705
+0.00859885
+0.00955575
+0.0106447
+0.0118454
+0.0131242
+0.0145657
+0.0160385
+0.0175847
+0.0192384
+0.0209721
+0.0227846
+0.0246587
+0.0265812
+0.0285372
+0.0305187
+0.032527
+0.0345575
+0.0366064
+0.0386709
+0.0669506
+0.0657057
+0.0645111
+0.0632993
+0.0621383
+0.0609457
+0.0598025
+0.0587069
+0.0572226
+0.0553869
+0.053578
+0.0517985
+0.0500516
+0.048341
+0.0466676
+0.0450363
+0.0434542
+0.0419269
+0.0404466
+0.039032
+0.0376916
+0.0364338
+0.0351653
+0.0335905
+0.0320881
+0.0306688
+0.0293444
+0.0281173
+0.0269932
+0.0260055
+0.0251702
+0.0245028
+0.0239974
+0.0236656
+0.023534
+0.023604
+0.0238158
+0.0241737
+0.0243568
+0.024012
+0.0238442
+0.023877
+0.0237627
+0.0216393
+0.0195309
+0.0174427
+0.015383
+0.0133071
+0.0111884
+0.00910362
+0.00708275
+0.00520017
+0.00350582
+0.00201039
+0.00146642
+0.00189484
+0.00147992
+0.00206611
+0.00194559
+0.00132352
+0.00132505
+0.000348821
+-0.00111192
+-0.00213155
+-0.00216816
+-0.00175618
+-0.00124964
+-0.00100386
+-0.000766695
+-8.41395e-05
+0.000194737
+0.000665717
+0.000869938
+0.00130302
+0.00214202
+0.0037865
+0.00571562
+0.00753571
+0.00795224
+0.00854721
+0.00911786
+0.00984891
+0.0107484
+0.0117259
+0.0128268
+0.0140724
+0.0154348
+0.0169493
+0.0184625
+0.0200536
+0.0217493
+0.0235082
+0.0253287
+0.0272039
+0.0291232
+0.0310783
+0.033063
+0.0350652
+0.0370861
+0.0391253
+0.0661165
+0.0648555
+0.063645
+0.0624879
+0.0613144
+0.0601796
+0.0590404
+0.0579304
+0.0560729
+0.0542048
+0.052355
+0.0505325
+0.0487402
+0.0469818
+0.0452612
+0.0435821
+0.0419453
+0.040361
+0.0388353
+0.0373603
+0.0359577
+0.034637
+0.0334078
+0.0320698
+0.0304925
+0.0289952
+0.0275906
+0.0262938
+0.0250977
+0.0240322
+0.0231256
+0.0223974
+0.0218535
+0.0214887
+0.0213436
+0.0214179
+0.021648
+0.0220422
+0.0222127
+0.0218394
+0.0216547
+0.0216909
+0.021912
+0.0212012
+0.0190549
+0.0169135
+0.0147807
+0.0126672
+0.0105852
+0.00855752
+0.00641174
+0.0042757
+0.00218576
+0.000461527
+-0.000426545
+9.53449e-05
+-0.000424724
+0.000167426
+3.64862e-05
+-0.000743713
+-0.000748776
+-0.000387315
+-0.00170344
+-0.00236538
+-0.00228006
+-0.00240215
+-0.0018562
+-0.00113019
+-0.000693416
+-0.000432285
+-0.000461031
+-0.000169369
+-0.000659059
+-0.000662751
+0.000888696
+0.00304706
+0.00522024
+0.00740225
+0.00958822
+0.010131
+0.0106527
+0.0113492
+0.0121469
+0.013037
+0.0140834
+0.0152265
+0.0165415
+0.0179708
+0.0195001
+0.0210568
+0.0226775
+0.0243875
+0.0261656
+0.0279847
+0.0298538
+0.0317641
+0.0337084
+0.0356813
+0.0376783
+0.0396956
+0.0653452
+0.0640691
+0.0628434
+0.0616712
+0.0605556
+0.0594247
+0.0583195
+0.0568998
+0.0549759
+0.0530727
+0.0511925
+0.0493313
+0.0474937
+0.0456874
+0.043916
+0.0421841
+0.0404966
+0.0388554
+0.0372685
+0.0357446
+0.0342762
+0.032888
+0.0315908
+0.0303964
+0.0289748
+0.0273946
+0.0259034
+0.0245175
+0.0232536
+0.0220998
+0.0211105
+0.0203101
+0.01972
+0.0193149
+0.0191533
+0.0192329
+0.0194853
+0.0199233
+0.0200783
+0.0196708
+0.0194656
+0.0195058
+0.0197478
+0.0202181
+0.0187655
+0.0166173
+0.0144576
+0.0122972
+0.0101498
+0.00802583
+0.00595019
+0.00391575
+0.00201454
+8.7612e-05
+-0.00145438
+-0.00202948
+-0.00216018
+-0.00180202
+-0.00205593
+-0.00283136
+-0.00275936
+-0.00229829
+-0.00202714
+-0.00215095
+-0.00219856
+-0.00183897
+-0.00138587
+-0.000805742
+-0.000394226
+0.000303468
+0.000417178
+0.00122057
+0.000976772
+0.000787191
+0.00155039
+0.00334579
+0.00542142
+0.007562
+0.00972123
+0.0118845
+0.0123647
+0.0129984
+0.0137514
+0.0145436
+0.0155073
+0.0165909
+0.0178054
+0.0191891
+0.0206422
+0.0221896
+0.023772
+0.0254085
+0.0271232
+0.0288997
+0.0307236
+0.0325829
+0.0344811
+0.0364122
+0.0383712
+0.040354
+0.0646072
+0.0633455
+0.0621088
+0.0609224
+0.0597929
+0.0587233
+0.0576397
+0.0559051
+0.0539457
+0.0520048
+0.0500845
+0.0481873
+0.0463155
+0.0444632
+0.042641
+0.0408551
+0.0391103
+0.0374124
+0.035767
+0.0341771
+0.032655
+0.0311948
+0.0298241
+0.0285558
+0.0274042
+0.0258806
+0.0242967
+0.0228134
+0.0214515
+0.0202202
+0.019134
+0.0182471
+0.0175899
+0.0171453
+0.0169631
+0.0170493
+0.0173297
+0.0178016
+0.0179558
+0.0175049
+0.0172768
+0.0173221
+0.0175902
+0.0181139
+0.0184899
+0.0163418
+0.0142066
+0.0120873
+0.00998587
+0.00790291
+0.00580212
+0.00378619
+0.00188869
+0.000321419
+-0.00131333
+-0.00326046
+-0.00413155
+-0.003922
+-0.00416083
+-0.00462651
+-0.00375543
+-0.00308085
+-0.00253944
+-0.0019378
+-0.00203799
+-0.00168859
+-0.00122226
+-0.000649276
+-0.000402224
+-0.000144895
+-0.000412275
+0.000173094
+0.00023494
+0.000807913
+0.00206116
+0.00392175
+0.00598074
+0.00810903
+0.0102596
+0.0123389
+0.0142014
+0.0147774
+0.0154821
+0.016185
+0.0170771
+0.0180906
+0.0192365
+0.0205284
+0.021931
+0.023419
+0.0249739
+0.0265667
+0.0282112
+0.0299257
+0.0316968
+0.0335163
+0.0353729
+0.0372577
+0.0391745
+0.0411185
+0.0639128
+0.062644
+0.0614203
+0.0602441
+0.0591015
+0.0580192
+0.0569814
+0.054976
+0.0529852
+0.0510086
+0.0490494
+0.0471105
+0.0451946
+0.0433049
+0.0414422
+0.0396027
+0.0378001
+0.0360406
+0.0343307
+0.0326783
+0.031087
+0.029567
+0.028117
+0.026768
+0.0255359
+0.0244385
+0.0227875
+0.0211988
+0.0197259
+0.0183964
+0.0172094
+0.0162176
+0.0154744
+0.0149819
+0.0147731
+0.0148674
+0.015184
+0.0156809
+0.0158517
+0.0153416
+0.0150886
+0.0151375
+0.0154419
+0.0160329
+0.016848
+0.0161423
+0.0139909
+0.0118371
+0.00969984
+0.00758827
+0.00549378
+0.0034603
+0.00151768
+-0.000421998
+-0.0020466
+-0.002885
+-0.00419382
+-0.00546959
+-0.00582674
+-0.00496011
+-0.00418505
+-0.00364337
+-0.00281231
+-0.00232966
+-0.00150186
+-0.00112623
+-0.000901538
+-0.000384791
+0.000253684
+0.000815053
+0.000649647
+0.000562328
+0.000158128
+-0.000218915
+0.00132458
+0.00350088
+0.00568824
+0.00787744
+0.0100673
+0.0122575
+0.0144478
+0.0166382
+0.0172958
+0.0179277
+0.0187718
+0.0197044
+0.0207872
+0.0220005
+0.0233451
+0.0247571
+0.0262677
+0.0278247
+0.0294201
+0.031068
+0.0327795
+0.0345452
+0.0363542
+0.0382032
+0.0400815
+0.0419836
+0.0632066
+0.061986
+0.0607652
+0.0595835
+0.0584601
+0.0573902
+0.0561524
+0.0541163
+0.0520927
+0.0500831
+0.0480894
+0.0461127
+0.0441536
+0.0422172
+0.0403069
+0.0384265
+0.0365744
+0.0347529
+0.0329763
+0.0312523
+0.0295901
+0.0279987
+0.0264813
+0.0250443
+0.0237229
+0.0225373
+0.0213948
+0.0196959
+0.0181011
+0.0166423
+0.0153555
+0.0142359
+0.0133831
+0.0128278
+0.0125833
+0.0126876
+0.0130527
+0.0135805
+0.0137657
+0.0131872
+0.0129012
+0.012953
+0.0133073
+0.0139724
+0.0148956
+0.0159815
+0.0138291
+0.0116909
+0.00957636
+0.00750571
+0.00542579
+0.00340699
+0.0015284
+8.62377e-05
+-0.00112136
+-0.00279841
+-0.00408962
+-0.00570743
+-0.00569117
+-0.00489348
+-0.00391302
+-0.00335526
+-0.00243617
+-0.00126226
+-0.000973876
+-0.000819974
+-0.000318228
+6.11698e-05
+7.81024e-05
+0.000241613
+0.00149121
+0.00217856
+0.00181787
+0.00148833
+0.00236364
+0.00409005
+0.00611214
+0.00820943
+0.0103307
+0.0124747
+0.0146325
+0.0167989
+0.0189708
+0.0197598
+0.0205382
+0.0214153
+0.0224258
+0.023582
+0.0248435
+0.0262103
+0.0276416
+0.0291673
+0.0307234
+0.0323185
+0.0339671
+0.0356741
+0.0374314
+0.0392315
+0.0410678
+0.0429373
+0.0625572
+0.0613246
+0.0601456
+0.0589894
+0.0578544
+0.0567813
+0.0553978
+0.0533328
+0.0512783
+0.0492355
+0.047206
+0.0451916
+0.0431943
+0.0412166
+0.0392584
+0.0373253
+0.0354221
+0.0335532
+0.0317155
+0.0299189
+0.0281782
+0.0265043
+0.0249107
+0.0233989
+0.0219787
+0.0206935
+0.0195697
+0.0183288
+0.0166068
+0.0150034
+0.0135653
+0.0123251
+0.0113294
+0.0106886
+0.0103938
+0.0105111
+0.0109172
+0.0115138
+0.0117061
+0.0110472
+0.0107152
+0.010771
+0.0111902
+0.0119519
+0.0130007
+0.0142601
+0.0139398
+0.0118166
+0.00972342
+0.00768477
+0.00575336
+0.00393786
+0.00249656
+0.000474382
+-0.00136262
+-0.00282853
+-0.00445883
+-0.00567904
+-0.00489609
+-0.0042338
+-0.00329336
+-0.00247216
+-0.00188149
+-0.000968811
+-0.000156735
+-0.000413431
+-0.000403929
+0.000576435
+0.00131961
+0.00130701
+0.00121258
+0.00167366
+0.002817
+0.00361784
+0.00412709
+0.00542575
+0.00710433
+0.00898142
+0.0109739
+0.0130292
+0.0151225
+0.0172367
+0.0193614
+0.0214977
+0.0223689
+0.0232069
+0.0241521
+0.0252299
+0.0264387
+0.0277318
+0.0291156
+0.0305679
+0.032101
+0.0336576
+0.035251
+0.0368986
+0.0386002
+0.0403491
+0.0421393
+0.0439641
+0.0619617
+0.0607265
+0.0595434
+0.0584116
+0.0573261
+0.0562429
+0.0547201
+0.0526289
+0.0505458
+0.0484722
+0.0464093
+0.0443587
+0.0423221
+0.0403017
+0.0383
+0.0363201
+0.0343642
+0.0324345
+0.0305395
+0.0286867
+0.0268709
+0.02511
+0.0234218
+0.021823
+0.0203212
+0.0189237
+0.0176879
+0.0166497
+0.0152759
+0.0135218
+0.011906
+0.0105008
+0.00933804
+0.00855828
+0.00820485
+0.00834046
+0.00880431
+0.00949576
+0.00970259
+0.00892805
+0.00853154
+0.00859337
+0.00910808
+0.0100034
+0.0111872
+0.0126186
+0.0142436
+0.0122966
+0.0103014
+0.00839931
+0.00661233
+0.00495727
+0.00278923
+0.000684471
+-0.000777278
+-0.00266719
+-0.00449768
+-0.00474821
+-0.004326
+-0.0038709
+-0.00310756
+-0.00221905
+-0.00176201
+-0.00109878
+-0.000551242
+0.00044921
+0.00058928
+0.000591618
+0.0016466
+0.00287066
+0.00223773
+0.00208592
+0.0029177
+0.00449424
+0.00615522
+0.00710715
+0.0085098
+0.0101675
+0.011964
+0.0138734
+0.0158557
+0.0178866
+0.0199514
+0.0220405
+0.0241476
+0.025062
+0.0259486
+0.0269547
+0.0280959
+0.0293336
+0.030652
+0.0320571
+0.0335221
+0.0350568
+0.0366176
+0.0382096
+0.0398553
+0.0415513
+0.0432918
+0.0450716
+0.0613357
+0.0601827
+0.0590017
+0.0578663
+0.0567928
+0.0557765
+0.054113
+0.0520003
+0.0498943
+0.047796
+0.0457038
+0.04362
+0.0415472
+0.0394872
+0.037442
+0.0354142
+0.033407
+0.0314243
+0.0294692
+0.0275445
+0.0256625
+0.0238333
+0.0220502
+0.0203439
+0.0187372
+0.0172509
+0.0158854
+0.0147207
+0.0138076
+0.0122456
+0.0104434
+0.00880915
+0.00745841
+0.0064563
+0.00601687
+0.00618192
+0.00671862
+0.00756429
+0.00775956
+0.00684677
+0.00635277
+0.00642466
+0.00705922
+0.00812995
+0.00952109
+0.011165
+0.0129201
+0.0131249
+0.0112381
+0.00929346
+0.00711534
+0.00494832
+0.00280985
+0.000708612
+-0.00109102
+-0.00265264
+-0.00240868
+-0.00256113
+-0.00225258
+-0.00177319
+-0.0013718
+-0.00118054
+-0.0013861
+-0.00166659
+-0.00104967
+-0.000241737
+0.00107831
+0.00195223
+0.00243158
+0.00399254
+0.00388311
+0.00355351
+0.00407934
+0.0053289
+0.00704828
+0.0089754
+0.0101532
+0.0116013
+0.0132456
+0.0149927
+0.0168437
+0.0187681
+0.0207453
+0.0227617
+0.0248076
+0.0268764
+0.0277945
+0.028743
+0.0298158
+0.0310065
+0.0322575
+0.0336041
+0.0350227
+0.0364944
+0.0380353
+0.039593
+0.0411887
+0.042832
+0.0445224
+0.0462549
+0.060782
+0.0596182
+0.0585133
+0.0573924
+0.0563098
+0.0552846
+0.0535885
+0.0514543
+0.049325
+0.0472014
+0.0450841
+0.0429742
+0.0408728
+0.0387795
+0.0366949
+0.0346233
+0.0325674
+0.0305302
+0.0285158
+0.0265294
+0.0245751
+0.0226583
+0.0207957
+0.0190028
+0.0172718
+0.0156508
+0.0141789
+0.0128757
+0.0118209
+0.0111033
+0.00926038
+0.00737977
+0.00571358
+0.00444071
+0.00383154
+0.00405546
+0.00469902
+0.00574922
+0.00595045
+0.00481068
+0.0041849
+0.00427839
+0.00511674
+0.00642423
+0.00808746
+0.009898
+0.0118377
+0.0138514
+0.0118347
+0.00971058
+0.00755669
+0.00538995
+0.00325492
+0.00115371
+-0.000735221
+-0.000832229
+-0.000285461
+-0.000374041
+-0.000116628
+0.000369442
+0.000755933
+0.000407318
+-3.15928e-05
+-0.000532562
+-0.000559669
+0.00026285
+0.000702337
+0.00227239
+0.00319569
+0.00451654
+0.00574177
+0.00542176
+0.00577313
+0.00679664
+0.00821434
+0.0099174
+0.0117827
+0.0132235
+0.0146956
+0.0163298
+0.0180449
+0.0198532
+0.0217319
+0.0236644
+0.0256384
+0.027645
+0.0296777
+0.0305836
+0.031594
+0.0327201
+0.0339286
+0.0352113
+0.0365803
+0.0380039
+0.0394859
+0.0410315
+0.042586
+0.0436017
+0.0446529
+0.0457761
+0.0603028
+0.0591296
+0.0580154
+0.0569637
+0.0558935
+0.0548565
+0.0528088
+0.0507731
+0.0487508
+0.0467021
+0.0445611
+0.0424252
+0.0402952
+0.0381721
+0.036057
+0.0339515
+0.0318566
+0.0297709
+0.0277013
+0.0256518
+0.0236277
+0.0216361
+0.0196833
+0.0177789
+0.0159482
+0.0142048
+0.01257
+0.0111212
+0.00992052
+0.00905348
+0.00840257
+0.00633541
+0.00436427
+0.00262101
+0.00165935
+0.00200972
+0.00283522
+0.00414003
+0.00431971
+0.00291658
+0.00202602
+0.00218881
+0.0033297
+0.00502426
+0.00694325
+0.00896658
+0.0110368
+0.0131462
+0.0122806
+0.0101767
+0.00807211
+0.00596064
+0.00392648
+0.00204204
+0.000661636
+0.000842829
+0.00185418
+0.00181306
+0.00202221
+0.00235453
+0.00215875
+0.00181226
+0.00157632
+0.0014509
+0.00123541
+0.00174792
+0.00151241
+0.00270397
+0.00393276
+0.00504967
+0.00666154
+0.00745854
+0.00771773
+0.00854958
+0.00974017
+0.0112138
+0.0128929
+0.0147073
+0.0163043
+0.0177913
+0.019412
+0.0211105
+0.0228863
+0.0247287
+0.0266239
+0.0285614
+0.0305332
+0.0324614
+0.0334213
+0.0344877
+0.0356559
+0.0368786
+0.0381879
+0.0395753
+0.0403713
+0.0411633
+0.0420546
+0.0430391
+0.0441037
+0.0452405
+0.0598805
+0.0587187
+0.0575965
+0.0565371
+0.0555312
+0.0541397
+0.0520638
+0.0499977
+0.0479427
+0.0459003
+0.0438721
+0.0418603
+0.0398298
+0.0376805
+0.0355362
+0.0333979
+0.0312669
+0.0291447
+0.0270334
+0.0249358
+0.022849
+0.0207829
+0.0187451
+0.0167459
+0.0147958
+0.012914
+0.0111455
+0.00950063
+0.00809427
+0.00706735
+0.00651708
+0.0057934
+0.00362394
+0.00148779
+-0.000437819
+0.000246028
+0.00139331
+0.00293173
+0.00297668
+0.00134394
+-6.28063e-06
+0.000250744
+0.0020578
+0.0041143
+0.00625655
+0.00842374
+0.0105926
+0.0127532
+0.0128861
+0.010825
+0.00880161
+0.00685852
+0.00504236
+0.00349484
+0.00271966
+0.00277298
+0.00375377
+0.00400157
+0.00417349
+0.00400124
+0.00367323
+0.00344363
+0.00346661
+0.00343065
+0.00321379
+0.00365358
+0.00338282
+0.00409201
+0.005371
+0.00626586
+0.00768561
+0.00935647
+0.00976532
+0.0104352
+0.0114772
+0.0127515
+0.0142502
+0.0159102
+0.0176862
+0.0193906
+0.0208876
+0.0224986
+0.0241844
+0.0259348
+0.0277477
+0.0296118
+0.0315179
+0.0334589
+0.0352899
+0.0363016
+0.0374142
+0.0381316
+0.0386038
+0.0391882
+0.0398835
+0.040685
+0.0415866
+0.0425762
+0.043643
+0.0447729
+0.0595044
+0.0583435
+0.0572386
+0.0561926
+0.0551932
+0.053503
+0.0514014
+0.0493076
+0.0472226
+0.0451475
+0.043084
+0.0410336
+0.0389985
+0.0369811
+0.0349846
+0.0329807
+0.0308209
+0.0286657
+0.0265164
+0.0243744
+0.0222419
+0.0201219
+0.0180188
+0.0159321
+0.0138737
+0.0118627
+0.00991922
+0.00808963
+0.00645826
+0.00514805
+0.00442641
+0.00452196
+0.00367675
+0.00152926
+-0.000547461
+-0.000598279
+0.000866823
+0.00241008
+0.0020676
+0.000306698
+-0.00163354
+-0.000535656
+0.00164972
+0.00383975
+0.00603008
+0.00822047
+0.0104109
+0.0126013
+0.0136894
+0.0117377
+0.009859
+0.00811128
+0.006549
+0.00539242
+0.00470537
+0.00473431
+0.00552969
+0.00612866
+0.00587378
+0.00569872
+0.00548223
+0.00540455
+0.0055451
+0.00549495
+0.00530904
+0.00568425
+0.00547335
+0.00595538
+0.00703518
+0.00788629
+0.00906671
+0.0105743
+0.0117384
+0.0122063
+0.0129772
+0.014004
+0.0152601
+0.0167101
+0.018308
+0.0199918
+0.021764
+0.0235321
+0.0253407
+0.0272056
+0.0289938
+0.0307825
+0.0326203
+0.0344993
+0.0364131
+0.0371597
+0.0373883
+0.0377429
+0.0382199
+0.0388094
+0.0395114
+0.0403203
+0.0412046
+0.0421536
+0.0431929
+0.0443163
+0.0591946
+0.058037
+0.0569261
+0.0558791
+0.0548995
+0.0529494
+0.0508249
+0.0487063
+0.0465944
+0.0444901
+0.0423945
+0.0403091
+0.0382354
+0.0361755
+0.0341319
+0.0321078
+0.0301069
+0.0281343
+0.0261573
+0.0239883
+0.0218236
+0.0196647
+0.0175096
+0.0153613
+0.013227
+0.011114
+0.00903093
+0.00700078
+0.00508504
+0.00345556
+0.00245333
+0.00265625
+0.00361746
+0.00219622
+0.000642823
+0.00022249
+0.000990322
+0.00260786
+0.00185466
+-2.55751e-05
+-0.00065344
+0.000263863
+0.00206324
+0.00412126
+0.00623718
+0.00839081
+0.0105453
+0.012705
+0.0147297
+0.0129013
+0.0111896
+0.00963128
+0.00832778
+0.00741215
+0.00678269
+0.00681365
+0.00740159
+0.00799075
+0.00768855
+0.00755544
+0.00745518
+0.00749386
+0.00766366
+0.00761119
+0.00745912
+0.00778403
+0.00760322
+0.00798666
+0.00882234
+0.00973264
+0.0103258
+0.0110172
+0.0119993
+0.0129131
+0.013692
+0.0147134
+0.0159717
+0.0173905
+0.0188779
+0.0204502
+0.022128
+0.0238889
+0.0257091
+0.0275728
+0.0294816
+0.0314082
+0.0332263
+0.0350871
+0.0367901
+0.0368911
+0.0371213
+0.0374784
+0.0379381
+0.0385135
+0.039203
+0.0399653
+0.0408256
+0.041782
+0.0428035
+0.0438959
+0.0588869
+0.0577735
+0.056688
+0.0556364
+0.0546293
+0.0524814
+0.0503372
+0.0481972
+0.0460619
+0.0439321
+0.0418086
+0.0396924
+0.0375847
+0.035487
+0.0334014
+0.03133
+0.0292761
+0.0272434
+0.0252372
+0.0232596
+0.0213133
+0.0193997
+0.0172156
+0.0150335
+0.0128542
+0.0106795
+0.00851316
+0.00636344
+0.00423442
+0.00218047
+0.000638529
+0.0011176
+0.00242793
+0.00308485
+0.00185173
+0.00162917
+0.00209406
+0.00341053
+0.00241405
+0.000904953
+0.000750734
+0.00166656
+0.00299055
+0.00479476
+0.00678186
+0.00886151
+0.0109568
+0.01307
+0.0152052
+0.0142764
+0.0127205
+0.01135
+0.0102671
+0.00941513
+0.00891446
+0.00893804
+0.00941212
+0.00995152
+0.0096603
+0.00955469
+0.00952381
+0.00962835
+0.00979782
+0.00974665
+0.00962754
+0.00991298
+0.00976005
+0.010066
+0.0101463
+0.0101883
+0.0105415
+0.0112197
+0.0122571
+0.0135051
+0.0142517
+0.0152356
+0.016454
+0.017859
+0.0192877
+0.0208291
+0.0224786
+0.024214
+0.0260114
+0.027855
+0.0297457
+0.031675
+0.0335785
+0.0355148
+0.0364799
+0.0365818
+0.0368089
+0.0371441
+0.0376042
+0.0381847
+0.0388539
+0.0395883
+0.0404283
+0.0413558
+0.0423656
+0.0434625
+0.0586593
+0.0575416
+0.0564868
+0.0554793
+0.0542644
+0.0521015
+0.0499409
+0.0477832
+0.0456285
+0.0434775
+0.0413306
+0.0391886
+0.0370523
+0.0349227
+0.0328011
+0.0306893
+0.0285893
+0.0265041
+0.0244372
+0.022394
+0.0203814
+0.0184034
+0.016466
+0.0146004
+0.0128248
+0.0106442
+0.00846882
+0.00630159
+0.00414339
+0.00201768
+0.00014689
+0.0007766
+0.0022158
+0.00339884
+0.00367215
+0.00326121
+0.00307827
+0.00294903
+0.00262785
+0.00194722
+0.0021736
+0.00289685
+0.00418646
+0.00591245
+0.0077264
+0.00963338
+0.0116213
+0.0136672
+0.0157518
+0.0158121
+0.0144045
+0.0132091
+0.0122431
+0.0114763
+0.0110693
+0.0110883
+0.0114887
+0.0119791
+0.0117101
+0.0116232
+0.0116372
+0.0117835
+0.0119525
+0.0119015
+0.0118042
+0.0118864
+0.011106
+0.0106468
+0.0103624
+0.0103575
+0.010643
+0.0113212
+0.0123501
+0.0136327
+0.0147593
+0.0157697
+0.0169497
+0.0183167
+0.0198321
+0.0214263
+0.0230331
+0.0247297
+0.0264921
+0.0283044
+0.0301669
+0.0320709
+0.0339523
+0.0358683
+0.0362398
+0.0363424
+0.0365761
+0.0369333
+0.0373778
+0.0378889
+0.038518
+0.0392595
+0.0400844
+0.0410086
+0.0420259
+0.0431228
+0.058513
+0.0573924
+0.0563348
+0.0553391
+0.053986
+0.0518114
+0.0496383
+0.0474667
+0.045297
+0.0431295
+0.0409644
+0.0388021
+0.0366433
+0.0344884
+0.0323384
+0.0301942
+0.0280573
+0.0259292
+0.0238126
+0.0217106
+0.019628
+0.0175684
+0.0155399
+0.0135602
+0.0116413
+0.00983667
+0.0082218
+0.00682499
+0.00486003
+0.00313432
+0.00201625
+0.0022298
+0.00318646
+0.00380767
+0.00483376
+0.00350288
+0.00236174
+0.00191735
+0.00148579
+0.00187248
+0.00275681
+0.00376805
+0.00508977
+0.00680093
+0.00861977
+0.0105527
+0.0125659
+0.014507
+0.0164941
+0.0174743
+0.0162094
+0.0151571
+0.0142526
+0.0135781
+0.0132358
+0.0132517
+0.0136012
+0.0140558
+0.0138033
+0.0137296
+0.0137748
+0.0139497
+0.0137679
+0.0128318
+0.0121576
+0.0116312
+0.0112283
+0.0106446
+0.0103796
+0.0103692
+0.0107227
+0.011421
+0.0124466
+0.013743
+0.0152267
+0.0162269
+0.0174322
+0.0188146
+0.0202942
+0.0218496
+0.0235065
+0.0252449
+0.0270468
+0.0288889
+0.0307389
+0.0326095
+0.0344614
+0.0361609
+0.0361312
+0.0362341
+0.0364597
+0.0367223
+0.0371125
+0.0376165
+0.038225
+0.0389475
+0.0397776
+0.0407088
+0.0417326
+0.0428369
+0.0584272
+0.0573049
+0.0562456
+0.0552529
+0.0537954
+0.0516128
+0.0494309
+0.0472498
+0.0450697
+0.0428907
+0.0407129
+0.0385365
+0.0363619
+0.0341893
+0.0320192
+0.0298521
+0.0276888
+0.02553
+0.0233773
+0.0212323
+0.0190976
+0.0169737
+0.0148643
+0.012782
+0.010743
+0.00877716
+0.00692013
+0.00529771
+0.00403584
+0.00355165
+0.00403058
+0.00421488
+0.00463797
+0.00492423
+0.00460849
+0.0033743
+0.00215259
+0.00148566
+0.00103827
+0.00157952
+0.00302102
+0.00443782
+0.00579638
+0.00749789
+0.00935429
+0.0111091
+0.0128663
+0.0147401
+0.0166913
+0.018679
+0.0180998
+0.0171125
+0.016291
+0.0157042
+0.0154092
+0.0154229
+0.015735
+0.0161626
+0.0159227
+0.0158589
+0.0152355
+0.0139798
+0.012972
+0.0122744
+0.0116005
+0.0112699
+0.0112439
+0.0110349
+0.0107718
+0.010797
+0.011135
+0.0118413
+0.0128708
+0.0141285
+0.0155937
+0.0166759
+0.0178657
+0.0192323
+0.0207405
+0.02235
+0.0240499
+0.0257882
+0.0275404
+0.02934
+0.0311897
+0.0330811
+0.0350074
+0.0360867
+0.0360569
+0.0361209
+0.0362538
+0.0365178
+0.0369102
+0.0374169
+0.0380287
+0.0387548
+0.0395867
+0.0404695
+0.0414436
+0.0425082
+0.0583901
+0.0572904
+0.0562308
+0.0552379
+0.0536936
+0.0515067
+0.0493201
+0.0471339
+0.0449481
+0.0427629
+0.0405782
+0.0383943
+0.0362111
+0.0340289
+0.0318479
+0.0296683
+0.0274904
+0.0253148
+0.023142
+0.020973
+0.0188089
+0.0166482
+0.0144915
+0.0123465
+0.010221
+0.00813005
+0.00607819
+0.00414846
+0.00249633
+0.00179544
+0.00260333
+0.00389371
+0.00477946
+0.0048812
+0.00382279
+0.00342128
+0.0025721
+0.00153006
+0.00107108
+0.00156059
+0.00316461
+0.0041277
+0.00507878
+0.00642554
+0.00803553
+0.00985406
+0.0117985
+0.0137945
+0.0158421
+0.0179236
+0.0200283
+0.0191165
+0.0183644
+0.0178459
+0.0175869
+0.0175989
+0.0178806
+0.0182891
+0.0175777
+0.01595
+0.0144263
+0.0130933
+0.0120139
+0.0112571
+0.0108443
+0.010838
+0.0110023
+0.0112626
+0.0111302
+0.0113456
+0.011726
+0.012414
+0.0134274
+0.0146416
+0.0160601
+0.0173901
+0.0185342
+0.0198548
+0.0213192
+0.0228887
+0.024551
+0.0262909
+0.028094
+0.0299383
+0.0317532
+0.0336129
+0.0355104
+0.0360471
+0.0359657
+0.0360176
+0.0361577
+0.0364135
+0.0367818
+0.0372754
+0.0378894
+0.0385593
+0.039337
+0.0402191
+0.0411989
+0.0422697
+0.0584006
+0.0573102
+0.056284
+0.0553097
+0.053681
+0.0514936
+0.0493064
+0.0471196
+0.0449332
+0.0427472
+0.0405617
+0.0383767
+0.0361925
+0.0340091
+0.0318267
+0.0296456
+0.0274659
+0.0252882
+0.0231129
+0.0209409
+0.0187731
+0.0166031
+0.014438
+0.0122819
+0.0101406
+0.00802606
+0.00592218
+0.00384692
+0.00195353
+0.000963436
+0.00206869
+0.00365506
+0.00451479
+0.00471041
+0.00371602
+0.00303743
+0.00311177
+0.00215991
+0.00137489
+0.0020005
+0.00166427
+0.00211122
+0.00334277
+0.00499242
+0.00691208
+0.00892555
+0.0110069
+0.0131239
+0.0152552
+0.0173915
+0.0195398
+0.0211443
+0.0204623
+0.0199983
+0.0197675
+0.0197781
+0.0200298
+0.0187138
+0.0170929
+0.0154625
+0.0139038
+0.0125192
+0.0113867
+0.0105839
+0.0101136
+0.0101069
+0.0105644
+0.0113561
+0.0113885
+0.0116105
+0.0120597
+0.0127298
+0.0137151
+0.014902
+0.0162979
+0.0178541
+0.0193741
+0.0206916
+0.0221007
+0.0236182
+0.0252326
+0.0269285
+0.0286915
+0.0305099
+0.0323652
+0.0342245
+0.036121
+0.0359511
+0.0358694
+0.0359215
+0.0360877
+0.036344
+0.036713
+0.03717
+0.0377169
+0.0383764
+0.0391475
+0.0400239
+0.0409986
+0.042065
+0.0583144
+0.0573507
+0.0563738
+0.0554169
+0.053754
+0.0515689
+0.0493843
+0.0472003
+0.0450168
+0.0428342
+0.0406524
+0.0384716
+0.036292
+0.0341138
+0.0319374
+0.029763
+0.0275912
+0.0254226
+0.0232582
+0.021099
+0.0189438
+0.0167947
+0.0146579
+0.0125397
+0.0104514
+0.00841528
+0.00640041
+0.00448676
+0.00290149
+0.00220465
+0.00287089
+0.00412364
+0.00490645
+0.00499888
+0.00383707
+0.00285164
+0.00258234
+0.00249071
+0.00159198
+0.000702258
+-0.000349032
+0.000286844
+0.00205791
+0.00412705
+0.00625247
+0.00840139
+0.0105675
+0.0127384
+0.0149135
+0.0170925
+0.0192742
+0.0214577
+0.0225778
+0.0221581
+0.0219501
+0.0215687
+0.0197953
+0.0179988
+0.016299
+0.0147295
+0.0133169
+0.0120929
+0.0110933
+0.0102676
+0.00978208
+0.00977513
+0.0102475
+0.0110619
+0.0114723
+0.0114863
+0.0118662
+0.0126204
+0.0136612
+0.0149212
+0.0163784
+0.0179851
+0.0197005
+0.0212661
+0.0227074
+0.0242332
+0.0258092
+0.0274696
+0.0292
+0.0309888
+0.0328263
+0.0347047
+0.0361852
+0.035971
+0.0358658
+0.0358673
+0.0359628
+0.0361909
+0.0365341
+0.0369809
+0.0375306
+0.0381933
+0.038968
+0.0398483
+0.0408272
+0.041898
+0.0583081
+0.0573443
+0.056449
+0.0555901
+0.0539026
+0.0517238
+0.049546
+0.0473694
+0.0451942
+0.0430205
+0.0408487
+0.038679
+0.0365117
+0.0343475
+0.0321868
+0.0300305
+0.0278796
+0.0257353
+0.0235996
+0.0214748
+0.0193614
+0.0172644
+0.0151938
+0.0131621
+0.0111906
+0.00924866
+0.00741634
+0.00579489
+0.00459314
+0.00414105
+0.00451918
+0.00517138
+0.00579791
+0.00544326
+0.00413728
+0.00304134
+0.00245822
+0.0023019
+0.000991015
+-6.56381e-05
+-0.0013823
+-0.000172404
+0.00187669
+0.00399056
+0.00615163
+0.00832819
+0.0105106
+0.0126959
+0.0148828
+0.0170706
+0.0192557
+0.0214411
+0.0236275
+0.0236967
+0.0222093
+0.0207946
+0.019153
+0.0175082
+0.0157556
+0.0141258
+0.012636
+0.0113387
+0.0103471
+0.00973541
+0.00953793
+0.0098186
+0.0102617
+0.0107277
+0.0113365
+0.0115728
+0.0119498
+0.0126991
+0.0137598
+0.0150215
+0.0164698
+0.0180683
+0.0197766
+0.0215711
+0.023272
+0.0248277
+0.0264003
+0.0280257
+0.0297238
+0.0314827
+0.033293
+0.0351465
+0.0361569
+0.0359166
+0.0358089
+0.0358056
+0.0359013
+0.0361298
+0.0364735
+0.036921
+0.0374716
+0.0381345
+0.0388867
+0.0397454
+0.0407041
+0.0417558
+0.0583
+0.0574028
+0.0565098
+0.0556754
+0.0541395
+0.0519706
+0.0498036
+0.0476388
+0.0454765
+0.043317
+0.0411608
+0.0390084
+0.0368606
+0.0347181
+0.032582
+0.0304537
+0.0283349
+0.0262279
+0.0241358
+0.0220627
+0.0200115
+0.0179904
+0.016014
+0.014101
+0.0122191
+0.0104347
+0.00882406
+0.00749742
+0.00655571
+0.00622702
+0.00647474
+0.0065846
+0.00710535
+0.00633198
+0.00503759
+0.003843
+0.0028234
+0.00156182
+0.00103301
+0.000287991
+0.000333005
+0.00105453
+0.00262567
+0.00452644
+0.00658962
+0.00866024
+0.0107756
+0.0129161
+0.0150711
+0.017235
+0.019405
+0.0215791
+0.0237563
+0.0230161
+0.0214312
+0.0199416
+0.0185406
+0.0168207
+0.0152148
+0.0137
+0.0122849
+0.0109461
+0.00991525
+0.00928242
+0.00905527
+0.00935044
+0.00973699
+0.0102304
+0.0109013
+0.0114444
+0.0120084
+0.012924
+0.0141102
+0.0153815
+0.0168096
+0.0183883
+0.0200823
+0.0218612
+0.0236982
+0.0252278
+0.026849
+0.0285464
+0.0303072
+0.0320737
+0.0338711
+0.0357123
+0.0361917
+0.0359386
+0.0358111
+0.0358119
+0.0359312
+0.0361704
+0.0364646
+0.0368619
+0.0373836
+0.0380245
+0.0387787
+0.0396398
+0.0405839
+0.0416129
+0.0582922
+0.0574427
+0.0566404
+0.0558213
+0.0544636
+0.0523081
+0.0501557
+0.0480068
+0.0458618
+0.0437213
+0.0415861
+0.039457
+0.0373349
+0.0352213
+0.0331177
+0.0310262
+0.0289493
+0.0268905
+0.0248542
+0.0228464
+0.0208723
+0.0189378
+0.0170612
+0.0152374
+0.0134893
+0.0118888
+0.0105035
+0.00936429
+0.00862879
+0.00833829
+0.00834971
+0.0083203
+0.00870321
+0.00748297
+0.0059692
+0.00382977
+0.00174815
+-6.05793e-05
+-0.000246369
+0.000969686
+0.00228235
+0.00285089
+0.00396569
+0.0055938
+0.00743305
+0.00938701
+0.0114192
+0.0134759
+0.0155535
+0.0176584
+0.019782
+0.0219188
+0.0240653
+0.0224644
+0.0208209
+0.0192768
+0.0178056
+0.0162124
+0.0144765
+0.0128581
+0.0114319
+0.0102638
+0.00945008
+0.00900743
+0.00905083
+0.00933756
+0.00963696
+0.0101352
+0.0108258
+0.0114409
+0.0120051
+0.0129209
+0.0141074
+0.0155048
+0.0170698
+0.0187604
+0.0205197
+0.0223249
+0.0241406
+0.0258081
+0.0273951
+0.0290606
+0.030792
+0.0325787
+0.0344121
+0.0362529
+0.0362853
+0.0360206
+0.035888
+0.0358888
+0.0360059
+0.036169
+0.036438
+0.0368121
+0.0373096
+0.0379272
+0.0386594
+0.0394995
+0.0404411
+0.0414764
+0.0583579
+0.0575093
+0.0567327
+0.056031
+0.0548733
+0.0527346
+0.0506003
+0.0484711
+0.0463476
+0.0442306
+0.0421212
+0.0400205
+0.03793
+0.0358515
+0.0337872
+0.0317398
+0.0297129
+0.0277108
+0.0257386
+0.0237934
+0.0218946
+0.0200555
+0.018277
+0.0165601
+0.0149673
+0.0135426
+0.0123126
+0.0113475
+0.0107486
+0.0104822
+0.0102253
+0.0102003
+0.0100347
+0.00786011
+0.00569717
+0.00355497
+0.00144254
+-0.000571603
+-0.000652368
+0.000829048
+0.00275963
+0.00478506
+0.00566048
+0.00699998
+0.00862926
+0.0104134
+0.0122978
+0.0142491
+0.01626
+0.0183089
+0.0203756
+0.0224657
+0.0236592
+0.0220947
+0.0204215
+0.0187419
+0.0171128
+0.0155534
+0.0140288
+0.0123519
+0.0108594
+0.00962206
+0.00874907
+0.00826876
+0.00833178
+0.008852
+0.00948104
+0.0101107
+0.0105982
+0.0114098
+0.0123952
+0.0132841
+0.0144408
+0.0158088
+0.0173463
+0.0190124
+0.0207503
+0.0225662
+0.0244437
+0.0263695
+0.0279901
+0.0296222
+0.0313226
+0.0330806
+0.0348877
+0.0367365
+0.036493
+0.0362298
+0.0360979
+0.0360415
+0.0360364
+0.0361483
+0.036392
+0.0367648
+0.0372629
+0.0378814
+0.0386144
+0.0394555
+0.0403981
+0.0414344
+0.0585056
+0.0576592
+0.0568846
+0.0561848
+0.0553667
+0.0532478
+0.0511349
+0.0490289
+0.0469307
+0.0448412
+0.042762
+0.0406944
+0.0386404
+0.0366022
+0.0345827
+0.0325854
+0.0306129
+0.0286637
+0.0267518
+0.0248859
+0.0230772
+0.0213335
+0.0196394
+0.0180525
+0.0166035
+0.0153201
+0.0142223
+0.0133956
+0.0128748
+0.0125627
+0.0121856
+0.0121693
+0.0101041
+0.00795251
+0.00583016
+0.00378246
+0.00185165
+0.000366372
+0.000703896
+0.00185
+0.00348771
+0.00534506
+0.00738177
+0.00860175
+0.0100339
+0.0116828
+0.0134316
+0.0152806
+0.0171711
+0.0191257
+0.0211267
+0.0228892
+0.0231305
+0.0215468
+0.0200775
+0.0183097
+0.0165851
+0.014942
+0.0134137
+0.0120264
+0.0107128
+0.0094557
+0.00856595
+0.00807473
+0.00813928
+0.00867072
+0.00926589
+0.00995308
+0.0104479
+0.0112728
+0.0124246
+0.013564
+0.0149281
+0.016375
+0.0178639
+0.0194858
+0.0212057
+0.0229859
+0.0248316
+0.0267295
+0.0286567
+0.0302587
+0.0319307
+0.0336591
+0.0354367
+0.037192
+0.0367774
+0.0364386
+0.0362045
+0.0360967
+0.0360881
+0.0361998
+0.0364432
+0.0368155
+0.0373129
+0.0379305
+0.0386626
+0.0394984
+0.0404211
+0.0414393
+0.0587347
+0.0578916
+0.0571201
+0.0564233
+0.0557943
+0.0538453
+0.0517568
+0.0496772
+0.0476075
+0.0455492
+0.0435037
+0.0414732
+0.0394597
+0.0374661
+0.0354939
+0.0335421
+0.0316217
+0.0297386
+0.0279005
+0.0261168
+0.0243995
+0.0227239
+0.0211415
+0.0196761
+0.0183554
+0.0171749
+0.0162033
+0.0154827
+0.0150102
+0.014538
+0.0142133
+0.0125437
+0.0104559
+0.00838199
+0.00636791
+0.00450452
+0.0029916
+0.00224735
+0.00262424
+0.0034016
+0.00476267
+0.0064679
+0.00825803
+0.0101887
+0.0116187
+0.0130755
+0.0147102
+0.016437
+0.0182576
+0.019935
+0.021581
+0.0231097
+0.0224116
+0.0209953
+0.0196341
+0.0180784
+0.016306
+0.0145943
+0.0130235
+0.0115624
+0.0102449
+0.00921918
+0.00858263
+0.00836032
+0.00842274
+0.00894597
+0.00950991
+0.0102655
+0.010746
+0.0115547
+0.0126857
+0.0138663
+0.0152033
+0.0167005
+0.0183378
+0.0200808
+0.0218341
+0.0235902
+0.0254032
+0.0272613
+0.0291656
+0.0310301
+0.0326627
+0.0343574
+0.0361055
+0.0374014
+0.0369143
+0.0365522
+0.0363134
+0.0361857
+0.0361771
+0.0362886
+0.0365313
+0.0369028
+0.037399
+0.0380152
+0.0387457
+0.0395763
+0.0404931
+0.0415054
+0.0590442
+0.0582056
+0.0574384
+0.0567454
+0.05612
+0.0545243
+0.0524629
+0.0504124
+0.0483742
+0.0463499
+0.0443414
+0.042351
+0.0403791
+0.0384257
+0.0364993
+0.0346042
+0.0327461
+0.0309316
+0.0291687
+0.0274675
+0.0258116
+0.0242328
+0.0227555
+0.0214009
+0.0201712
+0.019101
+0.0182324
+0.0175951
+0.0171273
+0.0165675
+0.0151985
+0.0131395
+0.011124
+0.009189
+0.00739799
+0.00583974
+0.00471334
+0.00425966
+0.00461646
+0.00532843
+0.00637219
+0.00780953
+0.0095173
+0.0112692
+0.0130207
+0.0146273
+0.0159958
+0.0174853
+0.0189586
+0.0204719
+0.0218742
+0.023297
+0.021766
+0.0203047
+0.0189843
+0.0176952
+0.0161073
+0.0145712
+0.0129075
+0.0113825
+0.0100068
+0.00895437
+0.00831632
+0.00815717
+0.00853808
+0.00911324
+0.00987763
+0.0102057
+0.0108057
+0.0116077
+0.0127347
+0.0140781
+0.0155875
+0.0172279
+0.0188193
+0.0205214
+0.0223014
+0.0241391
+0.0260314
+0.0279378
+0.0298102
+0.0317175
+0.0335156
+0.0351754
+0.0368848
+0.0376399
+0.0371559
+0.0367743
+0.036517
+0.03639
+0.0363859
+0.0364967
+0.0367381
+0.0371075
+0.0375946
+0.0381833
+0.0388836
+0.0396489
+0.0405183
+0.0414853
+0.0594288
+0.0585957
+0.0578337
+0.0571455
+0.0565288
+0.0552819
+0.0532498
+0.0512308
+0.0492265
+0.0472387
+0.0452673
+0.0433127
+0.0413818
+0.039478
+0.0376055
+0.0357691
+0.0339748
+0.0322295
+0.0305416
+0.0289015
+0.0273256
+0.0258395
+0.0244595
+0.0231943
+0.0220533
+0.0210789
+0.020295
+0.0197217
+0.0191333
+0.0179657
+0.0159652
+0.0140152
+0.0121458
+0.0104005
+0.00882175
+0.00755477
+0.0066916
+0.00635836
+0.00668481
+0.00740117
+0.00819553
+0.00940675
+0.0108848
+0.0125625
+0.0140569
+0.0155925
+0.0170802
+0.0184154
+0.0195996
+0.0208904
+0.0222352
+0.0229327
+0.0213269
+0.0198333
+0.0184792
+0.0172922
+0.0156458
+0.0139892
+0.012498
+0.0112243
+0.0101702
+0.00913709
+0.00851573
+0.00836038
+0.00871741
+0.00930249
+0.0100461
+0.0103688
+0.0110442
+0.01183
+0.0129377
+0.0142974
+0.0158126
+0.0174474
+0.0191934
+0.0210228
+0.0229095
+0.0247019
+0.0265542
+0.0284546
+0.0303941
+0.0323656
+0.0343058
+0.0360025
+0.0377025
+0.037844
+0.0373537
+0.0369708
+0.0367149
+0.0365886
+0.0365932
+0.0367091
+0.0369491
+0.0372721
+0.0377013
+0.0382399
+0.0388946
+0.0396597
+0.0405289
+0.0414956
+0.0598342
+0.059053
+0.0582969
+0.0576143
+0.0570077
+0.0561148
+0.054114
+0.0521285
+0.0501574
+0.048202
+0.0462677
+0.0443572
+0.0424738
+0.0406213
+0.0388039
+0.0370271
+0.0352967
+0.0336201
+0.0319931
+0.0304195
+0.0289264
+0.0275269
+0.0262343
+0.0250408
+0.0239878
+0.0230952
+0.0223821
+0.0217827
+0.0208224
+0.0188718
+0.0169783
+0.0151592
+0.0134419
+0.0118634
+0.0105068
+0.0094681
+0.00873952
+0.00848994
+0.00873225
+0.00942288
+0.0101563
+0.0111865
+0.0124726
+0.0139698
+0.0153309
+0.0166546
+0.0179775
+0.0191555
+0.0202508
+0.0215027
+0.0227297
+0.0227018
+0.0210784
+0.0195658
+0.0181918
+0.0168717
+0.015345
+0.0136518
+0.0121192
+0.0107371
+0.00965162
+0.00889501
+0.00857744
+0.00869303
+0.00904796
+0.00968051
+0.0101879
+0.0107437
+0.0116492
+0.0124401
+0.0134978
+0.0148062
+0.0162879
+0.0178794
+0.0195869
+0.0213826
+0.0232462
+0.0251626
+0.0271205
+0.029099
+0.0308642
+0.0324662
+0.0341337
+0.0358523
+0.0376121
+0.0381555
+0.0376535
+0.0372721
+0.0369932
+0.0368426
+0.0367743
+0.0368336
+0.0370227
+0.0373395
+0.0377745
+0.0383121
+0.0389656
+0.0397293
+0.040597
+0.0415622
+0.0602692
+0.0594937
+0.0587874
+0.0581425
+0.057561
+0.0570197
+0.055049
+0.053093
+0.051156
+0.0492403
+0.0473484
+0.0454834
+0.0436486
+0.041848
+0.0400864
+0.0383689
+0.0367019
+0.0350857
+0.0335142
+0.0320156
+0.0306004
+0.0292809
+0.0280524
+0.026939
+0.0259631
+0.0251407
+0.0244872
+0.0237396
+0.0218299
+0.0199779
+0.0181999
+0.0165045
+0.0149283
+0.0135244
+0.0123516
+0.0114491
+0.0108396
+0.0106375
+0.0108337
+0.0114161
+0.0121956
+0.013066
+0.0142215
+0.0155512
+0.0167467
+0.0178113
+0.0190324
+0.0199833
+0.0210378
+0.0222508
+0.0233705
+0.0226711
+0.0210454
+0.0195304
+0.0180532
+0.0166329
+0.0152971
+0.0136248
+0.0120236
+0.0106252
+0.00949655
+0.00870589
+0.0083798
+0.00849302
+0.00890339
+0.00959834
+0.0102907
+0.0108425
+0.011772
+0.0128806
+0.0140378
+0.015421
+0.0169751
+0.0185568
+0.0202071
+0.0219522
+0.0237712
+0.0256483
+0.0275718
+0.0292798
+0.0308085
+0.0324133
+0.0340833
+0.0358096
+0.0375842
+0.038513
+0.0379991
+0.0375516
+0.0372248
+0.0370251
+0.0369543
+0.0370133
+0.0372014
+0.0375036
+0.0379187
+0.0384542
+0.0391054
+0.0398664
+0.040722
+0.0416627
+0.0607801
+0.0600112
+0.0593112
+0.058672
+0.0581084
+0.0576227
+0.0560461
+0.0541261
+0.0522275
+0.0503525
+0.048504
+0.0466852
+0.0448995
+0.0431512
+0.041445
+0.0397863
+0.0381793
+0.0366095
+0.0351062
+0.0336785
+0.0323362
+0.0310784
+0.0299199
+0.0288786
+0.0279705
+0.0272088
+0.0265021
+0.0248222
+0.0230026
+0.021253
+0.0195782
+0.0180046
+0.0165717
+0.0153191
+0.0142935
+0.0134832
+0.0129696
+0.0127997
+0.0129647
+0.0134707
+0.0142526
+0.0150299
+0.0160463
+0.0172663
+0.0181619
+0.0191338
+0.0201205
+0.0209943
+0.0219963
+0.0231154
+0.0241897
+0.0228455
+0.0212331
+0.0196408
+0.0180817
+0.016631
+0.0150103
+0.0135187
+0.012223
+0.0109108
+0.00981557
+0.00905282
+0.00873968
+0.0088483
+0.00924291
+0.00994108
+0.0107684
+0.0113471
+0.012247
+0.013383
+0.014641
+0.015972
+0.0174772
+0.0191153
+0.0208454
+0.0226376
+0.0244816
+0.0263081
+0.027942
+0.0293848
+0.0309083
+0.0325082
+0.0341736
+0.0358955
+0.037626
+0.0388226
+0.0383017
+0.0378548
+0.0375307
+0.0373298
+0.0372347
+0.0372684
+0.0374305
+0.0377194
+0.0381321
+0.0386647
+0.0393123
+0.0400694
+0.0409161
+0.0418573
+0.061365
+0.0606035
+0.0599105
+0.0592778
+0.05872
+0.0582394
+0.0571098
+0.0552269
+0.0533674
+0.0515339
+0.0497294
+0.047957
+0.0462205
+0.0445241
+0.0428726
+0.0412706
+0.0397052
+0.0381982
+0.0367599
+0.035399
+0.0341167
+0.0329201
+0.0318286
+0.0308519
+0.0300035
+0.0292847
+0.0278377
+0.0260445
+0.0243164
+0.0226564
+0.0210849
+0.0196324
+0.0183272
+0.0172029
+0.0162671
+0.0155599
+0.015117
+0.0149702
+0.0151128
+0.0155514
+0.0162441
+0.0170493
+0.0179517
+0.0190173
+0.0197056
+0.0205652
+0.0213379
+0.0221291
+0.0230751
+0.0241414
+0.0247938
+0.0231499
+0.0215326
+0.0198984
+0.0183612
+0.0166844
+0.0150405
+0.0135475
+0.0122235
+0.0111024
+0.0102994
+0.00984159
+0.00954973
+0.00969802
+0.0100594
+0.0107044
+0.0110661
+0.0115605
+0.0123703
+0.0134639
+0.0147652
+0.0162582
+0.0178953
+0.0196406
+0.0214678
+0.0232588
+0.0250419
+0.026583
+0.0281548
+0.0296518
+0.0311622
+0.0327496
+0.0344034
+0.0359916
+0.0375362
+0.0391425
+0.0386963
+0.0382299
+0.0378845
+0.0376637
+0.0375694
+0.0376028
+0.0377635
+0.0380498
+0.038459
+0.0389803
+0.0395859
+0.0403013
+0.0411204
+0.0420293
+0.0619084
+0.0612305
+0.0605786
+0.0599575
+0.0594061
+0.0589311
+0.0582366
+0.0563913
+0.0545714
+0.0527798
+0.0510194
+0.0492934
+0.0476057
+0.0459605
+0.0443615
+0.0428012
+0.041291
+0.039844
+0.0384673
+0.0371649
+0.0359362
+0.0348022
+0.0337716
+0.0328527
+0.0320573
+0.0308695
+0.0290982
+0.0273877
+0.0257359
+0.0241661
+0.0226993
+0.0213569
+0.0201637
+0.0191429
+0.0182901
+0.0176642
+0.0172753
+0.0171458
+0.0172715
+0.0176566
+0.0182812
+0.0191064
+0.0199158
+0.0207295
+0.0213508
+0.0219798
+0.0226577
+0.0233798
+0.0242721
+0.0251988
+0.0248558
+0.0232163
+0.0216641
+0.0201955
+0.0187076
+0.0169681
+0.0153446
+0.013863
+0.0125254
+0.0114218
+0.0106238
+0.0101287
+0.0100327
+0.0102856
+0.0106902
+0.011094
+0.0114177
+0.011918
+0.012715
+0.0137847
+0.0150726
+0.0165513
+0.0181627
+0.0198846
+0.0216912
+0.023563
+0.0253003
+0.0268145
+0.0283995
+0.0300051
+0.0315665
+0.0330015
+0.0344869
+0.0359947
+0.0375388
+0.0391357
+0.0390797
+0.0386224
+0.0382833
+0.0380648
+0.0379716
+0.0380047
+0.0381637
+0.0384247
+0.0387948
+0.0392809
+0.0398816
+0.0405918
+0.0414051
+0.042308
+0.0624878
+0.0618163
+0.0612159
+0.0606725
+0.0601432
+0.0596896
+0.0593035
+0.0576154
+0.0558356
+0.0540858
+0.0523693
+0.0506893
+0.0490497
+0.0474533
+0.0458976
+0.0443845
+0.04293
+0.0415401
+0.0402201
+0.0389652
+0.0377951
+0.0367185
+0.0357433
+0.0348763
+0.0339134
+0.0321605
+0.030464
+0.0288194
+0.0272511
+0.0257737
+0.0244038
+0.0231604
+0.0220649
+0.0211177
+0.0203479
+0.0197872
+0.0194408
+0.0193248
+0.0194364
+0.0197804
+0.0203503
+0.0211047
+0.0219229
+0.0224999
+0.0229858
+0.0234533
+0.0240577
+0.0247374
+0.0255069
+0.0263452
+0.0250733
+0.023449
+0.0218935
+0.0204412
+0.0187544
+0.0171248
+0.0156163
+0.0142644
+0.0131161
+0.0120859
+0.0113017
+0.0108224
+0.0107043
+0.0108844
+0.0112827
+0.0117029
+0.0121064
+0.0125872
+0.0133822
+0.0144243
+0.0156661
+0.0170936
+0.0186582
+0.0203382
+0.0221077
+0.023947
+0.025722
+0.0272201
+0.0287836
+0.0303331
+0.0317106
+0.033109
+0.0345898
+0.0361126
+0.0376519
+0.03925
+0.0394774
+0.0390245
+0.0386863
+0.0384701
+0.0383779
+0.0384106
+0.038568
+0.0388484
+0.039219
+0.0396967
+0.0402816
+0.0409629
+0.0417383
+0.0426124
+0.063138
+0.0624735
+0.0618795
+0.0613579
+0.0609044
+0.0604621
+0.0600908
+0.0588957
+0.0571557
+0.0554476
+0.0537746
+0.0521399
+0.0505459
+0.0489932
+0.0474787
+0.0460177
+0.0446164
+0.0432805
+0.0420043
+0.0408038
+0.0396879
+0.0386641
+0.0377391
+0.036919
+0.035229
+0.0335427
+0.0319058
+0.0303388
+0.0288532
+0.0274621
+0.0261807
+0.0250257
+0.0240122
+0.0231315
+0.0224309
+0.0219235
+0.0216114
+0.0215062
+0.0216066
+0.0219174
+0.022437
+0.0231287
+0.0239342
+0.0242603
+0.0245975
+0.0249915
+0.025517
+0.0261562
+0.0268195
+0.0271499
+0.0254697
+0.0238711
+0.0223364
+0.0206146
+0.0189021
+0.017287
+0.015794
+0.0144581
+0.0133193
+0.0124153
+0.011808
+0.0115742
+0.0116874
+0.0118636
+0.01223
+0.0126394
+0.0130657
+0.0135612
+0.0143202
+0.0152985
+0.0165069
+0.0178895
+0.01939
+0.0210115
+0.0227287
+0.0245215
+0.026293
+0.0277604
+0.0292952
+0.0306072
+0.0319729
+0.0333604
+0.0348304
+0.0363624
+0.0378915
+0.0394686
+0.0399913
+0.0395415
+0.0392078
+0.0389944
+0.0389035
+0.0389358
+0.0390911
+0.0393469
+0.0396959
+0.0401486
+0.0407043
+0.0413687
+0.0421162
+0.0429609
+0.0637641
+0.0631939
+0.0626127
+0.0620973
+0.0616492
+0.0612674
+0.060937
+0.0602284
+0.0585281
+0.0568612
+0.055231
+0.0536392
+0.0520865
+0.0505733
+0.0491067
+0.0476955
+0.046345
+0.0450515
+0.0438249
+0.0426756
+0.0416099
+0.0406345
+0.0397554
+0.0383023
+0.0366241
+0.0349942
+0.0334284
+0.0319363
+0.0305285
+0.0292173
+0.0280162
+0.0269401
+0.0259864
+0.0251749
+0.0245327
+0.0240696
+0.0237857
+0.0236893
+0.0237805
+0.0240641
+0.0245382
+0.0251806
+0.0257775
+0.0260165
+0.0262516
+0.0266126
+0.0270527
+0.0276145
+0.028239
+0.0275303
+0.0259475
+0.0244551
+0.0227457
+0.0209792
+0.0192936
+0.017699
+0.0162329
+0.0148949
+0.0137772
+0.0129155
+0.0123329
+0.0120947
+0.0122031
+0.0126662
+0.0134315
+0.0138588
+0.0142935
+0.0147525
+0.015459
+0.0164204
+0.0175517
+0.0188687
+0.0203326
+0.0218844
+0.023538
+0.0252734
+0.02703
+0.0284594
+0.0297728
+0.031034
+0.0323816
+0.0337523
+0.035206
+0.0367329
+0.0382419
+0.0398004
+0.0406129
+0.0401687
+0.0398401
+0.0396302
+0.0395406
+0.0395579
+0.0396446
+0.0398476
+0.0401693
+0.0405656
+0.0410705
+0.0416845
+0.042394
+0.0431904
+0.0644495
+0.0638855
+0.0633631
+0.0628835
+0.062462
+0.0620852
+0.0617837
+0.0615566
+0.0599491
+0.0583229
+0.0567329
+0.0551804
+0.0536684
+0.0521967
+0.050777
+0.0494136
+0.0481051
+0.046856
+0.0456779
+0.0445764
+0.0435573
+0.0426265
+0.0413793
+0.0397081
+0.0380842
+0.0365195
+0.035022
+0.0336007
+0.0322656
+0.0310279
+0.0298997
+0.0288914
+0.0279928
+0.0272411
+0.0266488
+0.0262231
+0.0259628
+0.0258737
+0.0259572
+0.026218
+0.0266539
+0.0272541
+0.027629
+0.027743
+0.0279548
+0.0282493
+0.0286731
+0.0291604
+0.0295741
+0.0279413
+0.0263821
+0.024918
+0.0232632
+0.0215253
+0.0198685
+0.018324
+0.0168846
+0.0156027
+0.0145243
+0.0137042
+0.0131565
+0.0129357
+0.013037
+0.0134715
+0.0141934
+0.0151074
+0.0156564
+0.0161361
+0.016802
+0.0176957
+0.0187947
+0.0200302
+0.0214191
+0.0229334
+0.0245169
+0.0261875
+0.0279174
+0.0292443
+0.0303697
+0.0316071
+0.0329313
+0.03428
+0.0357123
+0.0372184
+0.0387087
+0.0402259
+0.04129
+0.0408532
+0.0405173
+0.0402742
+0.0401257
+0.0400412
+0.0400765
+0.0402312
+0.0405039
+0.0408924
+0.0413933
+0.0420026
+0.0427068
+0.0434974
+0.065124
+0.0645662
+0.0640786
+0.0636392
+0.0632376
+0.0629097
+0.0626567
+0.0624497
+0.0614154
+0.0598271
+0.0582746
+0.0567637
+0.0552877
+0.0538603
+0.0524856
+0.0511641
+0.0498954
+0.0486923
+0.0475597
+0.0465028
+0.0455268
+0.0444592
+0.0427941
+0.0411754
+0.0396116
+0.0381097
+0.0366772
+0.0353226
+0.0340551
+0.0328848
+0.0318225
+0.0308645
+0.030025
+0.0293254
+0.0287761
+0.0283823
+0.0281419
+0.0280591
+0.0281361
+0.0283776
+0.0287808
+0.0293424
+0.0294731
+0.0295104
+0.0296913
+0.0299568
+0.0303353
+0.0307565
+0.0301181
+0.0285122
+0.026986
+0.0255566
+0.0239372
+0.0222443
+0.0206404
+0.0191471
+0.017769
+0.0165557
+0.0155436
+0.0147476
+0.0142402
+0.0140472
+0.0141406
+0.0145528
+0.0152236
+0.0160898
+0.0166063
+0.0172942
+0.018071
+0.0190516
+0.0201617
+0.0213539
+0.0226618
+0.0240982
+0.0256414
+0.0272475
+0.0289263
+0.0299567
+0.0310732
+0.0322978
+0.0335472
+0.0348895
+0.0363
+0.037769
+0.0392434
+0.0407647
+0.0419316
+0.0414791
+0.041093
+0.0407758
+0.0405745
+0.0404909
+0.0405258
+0.0406788
+0.0409486
+0.0413328
+0.0418285
+0.0424315
+0.0431167
+0.0438788
+0.0658424
+0.0652908
+0.0648086
+0.0643911
+0.0640377
+0.0637405
+0.0634909
+0.0633161
+0.0629217
+0.0613693
+0.0598568
+0.0583794
+0.0569452
+0.0555604
+0.0542273
+0.0529416
+0.0517166
+0.0505568
+0.0494669
+0.0484516
+0.0475157
+0.0458818
+0.0442675
+0.0427046
+0.041199
+0.0397571
+0.0383861
+0.0370939
+0.035889
+0.0347805
+0.0337761
+0.0328651
+0.032078
+0.0314242
+0.0309122
+0.030546
+0.0303227
+0.0302452
+0.0303167
+0.0305416
+0.0309166
+0.0313923
+0.0312963
+0.0313314
+0.031472
+0.0317225
+0.0320228
+0.0324221
+0.0308067
+0.0292365
+0.0277501
+0.0263622
+0.0247754
+0.0231362
+0.0215933
+0.0201707
+0.0188675
+0.0177295
+0.0167622
+0.0160207
+0.0155548
+0.0153529
+0.0154384
+0.0158296
+0.0164812
+0.0172953
+0.0177768
+0.0184212
+0.0191522
+0.0200801
+0.0211926
+0.0224332
+0.0238032
+0.0252889
+0.0268675
+0.0284293
+0.0297722
+0.0307438
+0.0318311
+0.0330273
+0.0342501
+0.0355659
+0.0369497
+0.0383966
+0.0398695
+0.041385
+0.0424744
+0.0420053
+0.041643
+0.0413337
+0.0411352
+0.0410528
+0.0410872
+0.0412381
+0.0414883
+0.0418454
+0.0422971
+0.0428366
+0.0434721
+0.0442072
+0.0666251
+0.06608
+0.0656036
+0.0651912
+0.0648422
+0.0645656
+0.0643582
+0.0641858
+0.0640878
+0.06295
+0.0614718
+0.0600315
+0.0586378
+0.0572936
+0.0559935
+0.0547491
+0.0535654
+0.0524465
+0.0513967
+0.0504203
+0.0489708
+0.0473605
+0.0457984
+0.0442895
+0.0428396
+0.0414548
+0.0401419
+0.038908
+0.0377611
+0.0367091
+0.0357482
+0.0348886
+0.0341482
+0.0335348
+0.0330554
+0.0327132
+0.0325049
+0.032432
+0.0324986
+0.0327091
+0.0330595
+0.0332594
+0.0331639
+0.0331914
+0.0332851
+0.0335058
+0.0337681
+0.0330768
+0.0315082
+0.0300177
+0.0286174
+0.0272962
+0.0257617
+0.0241894
+0.0227182
+0.0213533
+0.0201176
+0.0190489
+0.0181372
+0.0174542
+0.0170276
+0.0168433
+0.0169213
+0.0172789
+0.0178995
+0.0186791
+0.0191258
+0.0197278
+0.020412
+0.0212851
+0.0223376
+0.0235306
+0.024851
+0.0262776
+0.0278038
+0.029414
+0.030719
+0.0316615
+0.0327183
+0.033883
+0.0350759
+0.0363469
+0.037697
+0.0391156
+0.0405643
+0.0420773
+0.0430108
+0.0424825
+0.0420618
+0.0417519
+0.0415554
+0.0414738
+0.041495
+0.0416221
+0.0418636
+0.0422175
+0.0426811
+0.043244
+0.0438736
+0.044602
+0.0674698
+0.0669317
+0.0664614
+0.0660544
+0.0657099
+0.065437
+0.0652365
+0.065105
+0.0650084
+0.0645646
+0.0631189
+0.0617171
+0.0603623
+0.0590502
+0.0577886
+0.0565837
+0.0554392
+0.0543589
+0.0533467
+0.0520609
+0.0504541
+0.0488926
+0.047381
+0.0459242
+0.0445276
+0.0431969
+0.0419386
+0.0407591
+0.0396657
+0.0386644
+0.0377443
+0.0369312
+0.0362325
+0.035655
+0.0352045
+0.0348834
+0.0346881
+0.0346193
+0.0346817
+0.0348796
+0.0352084
+0.0351638
+0.0350663
+0.0350517
+0.0351405
+0.0353142
+0.0352606
+0.0336679
+0.0321456
+0.0306911
+0.0293229
+0.0280593
+0.0268906
+0.0253884
+0.0239718
+0.0226673
+0.0215072
+0.0205048
+0.0196607
+0.0190324
+0.018642
+0.0184738
+0.018545
+0.0188541
+0.0192804
+0.0198655
+0.0206039
+0.0211808
+0.0218195
+0.0226384
+0.0236308
+0.0247615
+0.0260279
+0.0274061
+0.0288727
+0.0304264
+0.0317772
+0.0326753
+0.0336922
+0.0347938
+0.0359609
+0.0372183
+0.0385373
+0.0399329
+0.041358
+0.0428429
+0.0434997
+0.0429774
+0.0425616
+0.0422554
+0.0420612
+0.0419731
+0.0419846
+0.0421103
+0.042349
+0.0426989
+0.0431574
+0.0437209
+0.0443797
+0.0450752
+0.0683744
+0.0678434
+0.0673795
+0.066978
+0.0666383
+0.0663692
+0.0661716
+0.0660461
+0.0659888
+0.0659663
+0.0647982
+0.0634335
+0.062111
+0.060834
+0.0596101
+0.0584428
+0.0573354
+0.0562915
+0.0551519
+0.0535482
+0.0519873
+0.0504734
+0.0490106
+0.0476036
+0.0462577
+0.0449783
+0.0437711
+0.0426424
+0.0415986
+0.0406354
+0.0397608
+0.0389899
+0.0383287
+0.0377833
+0.0373585
+0.037056
+0.0368722
+0.0368069
+0.0368656
+0.0370524
+0.0373033
+0.0370919
+0.0369861
+0.0369483
+0.0370267
+0.0371399
+0.0359484
+0.0343876
+0.0328986
+0.0314918
+0.0301713
+0.0289448
+0.0277523
+0.0263024
+0.0249607
+0.0237457
+0.0226777
+0.0217627
+0.0210135
+0.0204723
+0.0201559
+0.0200446
+0.0199824
+0.0201483
+0.0205478
+0.0211017
+0.0217983
+0.0224089
+0.0230395
+0.0238553
+0.0248096
+0.0259059
+0.0271351
+0.02848
+0.0299241
+0.0314397
+0.0328739
+0.0337231
+0.0343811
+0.0351571
+0.0360268
+0.0370046
+0.0380703
+0.039223
+0.0404615
+0.0417782
+0.043166
+0.0435394
+0.043129
+0.0428268
+0.0426353
+0.0425557
+0.0425815
+0.0427054
+0.0429408
+0.043286
+0.0437382
+0.0442417
+0.0447744
+0.0454067
+0.0693364
+0.0688128
+0.0683555
+0.0679598
+0.067625
+0.0673599
+0.0671651
+0.0670415
+0.0669893
+0.0669952
+0.0665071
+0.0651754
+0.0638844
+0.0626436
+0.0614557
+0.0603241
+0.0592519
+0.0582424
+0.0566427
+0.0550824
+0.0535663
+0.0520983
+0.0506824
+0.0493232
+0.0480255
+0.0467944
+0.0456353
+0.0445539
+0.0435549
+0.0426278
+0.041795
+0.0410622
+0.040435
+0.0399183
+0.0395164
+0.0392306
+0.0390571
+0.0389949
+0.0390504
+0.0392272
+0.0392561
+0.0390307
+0.0389048
+0.0388614
+0.0389185
+0.0383437
+0.0367541
+0.035229
+0.033777
+0.0324047
+0.0311262
+0.0299336
+0.0284904
+0.02708
+0.0257789
+0.0246043
+0.0235752
+0.0226964
+0.021979
+0.0214622
+0.0211606
+0.0210836
+0.0211957
+0.0215253
+0.021961
+0.0224838
+0.0231389
+0.0237506
+0.0243465
+0.0251199
+0.026055
+0.0271091
+0.028286
+0.0295787
+0.0308425
+0.0311011
+0.0315102
+0.0320641
+0.0327547
+0.0335469
+0.0344515
+0.0354514
+0.0365554
+0.0377543
+0.0390395
+0.0404026
+0.041836
+0.0433329
+0.0437987
+0.0435012
+0.0433126
+0.0432343
+0.043267
+0.0434031
+0.0435924
+0.043869
+0.0442418
+0.0446672
+0.0451949
+0.0458213
+0.0703535
+0.0698375
+0.0693869
+0.0689972
+0.0686675
+0.0684063
+0.0682146
+0.0680928
+0.0680414
+0.0680605
+0.0681278
+0.0669393
+0.0656831
+0.0644768
+0.0633234
+0.0622257
+0.0611868
+0.0597376
+0.0581779
+0.0566599
+0.0551871
+0.0537633
+0.0523925
+0.0510788
+0.0498268
+0.0486414
+0.0475274
+0.0464899
+0.0455251
+0.0446388
+0.0438442
+0.0431462
+0.0425497
+0.042059
+0.0416778
+0.0414069
+0.0412425
+0.0411832
+0.0412357
+0.0414037
+0.0412069
+0.0409906
+0.0408321
+0.0407908
+0.0407878
+0.0392227
+0.0376701
+0.0361818
+0.0347664
+0.0334347
+0.0321971
+0.0308333
+0.0293737
+0.0280078
+0.0267518
+0.0256219
+0.0246316
+0.0237713
+0.0230874
+0.0225959
+0.0223097
+0.022236
+0.022338
+0.022651
+0.0231679
+0.0238674
+0.0246018
+0.0252116
+0.0257737
+0.0265054
+0.0273933
+0.0284155
+0.0290711
+0.0290484
+0.0291749
+0.0294481
+0.0298799
+0.0304634
+0.0311674
+0.0319837
+0.0329154
+0.0339606
+0.0351115
+0.0363581
+0.0376909
+0.039101
+0.0405805
+0.0421147
+0.0434898
+0.0442424
+0.0440358
+0.0439131
+0.0438818
+0.0439598
+0.0441326
+0.0443853
+0.0447021
+0.0451231
+0.0456455
+0.0462659
+0.0713846
+0.0708893
+0.0704586
+0.0700877
+0.0697631
+0.0695061
+0.0693174
+0.0691976
+0.069147
+0.0691658
+0.0692539
+0.0687278
+0.0675048
+0.0663317
+0.0652111
+0.0641458
+0.0628328
+0.0612736
+0.0597539
+0.058277
+0.0568462
+0.055465
+0.0541372
+0.0528669
+0.0516583
+0.0505158
+0.0494441
+0.048447
+0.0475145
+0.046666
+0.0459064
+0.0452403
+0.0446718
+0.0442047
+0.0438421
+0.0435847
+0.0434285
+0.0433717
+0.0434216
+0.043495
+0.0431802
+0.0429361
+0.0427848
+0.042739
+0.0417716
+0.0401982
+0.0386848
+0.0372362
+0.0358624
+0.034573
+0.0332984
+0.0318026
+0.0303895
+0.0290714
+0.0278634
+0.0267798
+0.0258074
+0.0249875
+0.0243378
+0.0238721
+0.0236014
+0.0235319
+0.0236286
+0.0239248
+0.0244147
+0.025087
+0.0258956
+0.0261045
+0.0260845
+0.026248
+0.0265915
+0.0270751
+0.0274856
+0.0274616
+0.0275805
+0.0278693
+0.0283252
+0.028915
+0.0296315
+0.0304836
+0.031457
+0.0325491
+0.0337481
+0.0350432
+0.0364242
+0.0378815
+0.0393953
+0.0409684
+0.0423807
+0.043739
+0.0446956
+0.0445573
+0.0445265
+0.0445648
+0.0446702
+0.0448782
+0.0451915
+0.045608
+0.046125
+0.0467389
+0.072467
+0.0719791
+0.071555
+0.0711958
+0.0708957
+0.0706428
+0.0704572
+0.0703393
+0.0702895
+0.070308
+0.0703947
+0.070539
+0.069348
+0.0682066
+0.0671173
+0.0659283
+0.0643695
+0.0628483
+0.0613677
+0.0599306
+0.0585402
+0.0571999
+0.0559133
+0.0546843
+0.0535168
+0.0524148
+0.0513827
+0.0504165
+0.0495208
+0.0487073
+0.0479801
+0.0473432
+0.0468002
+0.0463545
+0.0460089
+0.0457637
+0.045615
+0.0455605
+0.0456079
+0.0454746
+0.0451548
+0.0449042
+0.0447596
+0.0443898
+0.0428005
+0.0412663
+0.0397935
+0.0383868
+0.0370557
+0.0358093
+0.0343378
+0.0328893
+0.031525
+0.0302564
+0.0290976
+0.0280387
+0.0271095
+0.0263301
+0.0257143
+0.025274
+0.0250185
+0.024953
+0.0250447
+0.0253244
+0.0256316
+0.0250797
+0.0247103
+0.024498
+0.0244767
+0.0246508
+0.0250164
+0.0255335
+0.0259817
+0.025949
+0.0260724
+0.0263778
+0.0268317
+0.027428
+0.0281823
+0.0290683
+0.0300876
+0.0312275
+0.0324754
+0.0338193
+0.0352464
+0.036736
+0.038293
+0.0399095
+0.041352
+0.04274
+0.044193
+0.0451863
+0.0450737
+0.0450673
+0.0451673
+0.045373
+0.0456791
+0.0460711
+0.0465629
+0.0471515
+0.0735987
+0.0731184
+0.0727009
+0.0723377
+0.0720263
+0.0717774
+0.0715947
+0.0714787
+0.0714297
+0.0714479
+0.0715332
+0.0716854
+0.0712108
+0.0700997
+0.0690241
+0.0674656
+0.0659431
+0.0644591
+0.0630163
+0.0616177
+0.0602662
+0.0589652
+0.057718
+0.0565282
+0.0553995
+0.0543358
+0.0533403
+0.0524033
+0.0515422
+0.0507611
+0.0500637
+0.0494536
+0.0489341
+0.048508
+0.0481779
+0.0479437
+0.0478018
+0.0477494
+0.0477947
+0.047472
+0.0471321
+0.0468921
+0.0467536
+0.045465
+0.0439146
+0.0424207
+0.0409894
+0.0396252
+0.0382941
+0.0368918
+0.0354823
+0.0340824
+0.0327678
+0.0315492
+0.0304206
+0.0294035
+0.0285188
+0.027779
+0.0271961
+0.0267801
+0.0265391
+0.0264726
+0.0258143
+0.0249107
+0.0241447
+0.0235582
+0.0231648
+0.0229571
+0.0229345
+0.0231204
+0.0235098
+0.0240655
+0.0245718
+0.0245164
+0.0246372
+0.024923
+0.0253899
+0.0260265
+0.0268186
+0.0277477
+0.0288138
+0.0300022
+0.031299
+0.0326901
+0.0341507
+0.035686
+0.0372869
+0.0389452
+0.0403991
+0.0418187
+0.0433027
+0.0448445
+0.045566
+0.0455598
+0.0456587
+0.0458622
+0.0461689
+0.0465678
+0.0470544
+0.0476369
+0.0747701
+0.0742951
+0.0738719
+0.0735114
+0.073205
+0.0729601
+0.0727804
+0.0726663
+0.0726181
+0.072636
+0.0727199
+0.0728696
+0.0730847
+0.0720098
+0.0705619
+0.0690382
+0.0675511
+0.0661032
+0.0646971
+0.0633356
+0.0620216
+0.0607581
+0.0595485
+0.058396
+0.0573042
+0.0562764
+0.0553092
+0.0544058
+0.0535769
+0.0528259
+0.0521561
+0.0515708
+0.0510728
+0.0506647
+0.0503487
+0.0501247
+0.049989
+0.0499385
+0.0498529
+0.0494537
+0.0491275
+0.0488972
+0.048088
+0.0465005
+0.0449636
+0.0434828
+0.042064
+0.0407065
+0.039334
+0.0379701
+0.0366863
+0.0353655
+0.0341018
+0.0329165
+0.0318285
+0.0308579
+0.0297986
+0.0286833
+0.0276931
+0.0268388
+0.0261407
+0.0256
+0.0245183
+0.0235759
+0.022768
+0.022145
+0.021726
+0.0215056
+0.0214815
+0.0216798
+0.0220946
+0.0226839
+0.0232567
+0.0231513
+0.0232497
+0.0235524
+0.0240458
+0.024717
+0.0255498
+0.0265234
+0.0276367
+0.0288736
+0.0302189
+0.0316575
+0.0331636
+0.0347426
+0.036385
+0.0380826
+0.0395447
+0.0409939
+0.0425067
+0.0440764
+0.0456973
+0.0461511
+0.0462487
+0.0464496
+0.0467524
+0.0471464
+0.0476272
+0.0482028
+0.0759797
+0.0755022
+0.0750856
+0.0747309
+0.0744295
+0.0741887
+0.0740119
+0.0738997
+0.0738524
+0.07387
+0.0739525
+0.0740997
+0.0743112
+0.0736584
+0.0721335
+0.0706437
+0.0691911
+0.0677783
+0.0664077
+0.0650819
+0.0638039
+0.0625764
+0.0614026
+0.0602856
+0.0592286
+0.0582345
+0.0572939
+0.0564223
+0.0556235
+0.0549004
+0.0542563
+0.0536939
+0.0532157
+0.0528242
+0.0525212
+0.0523065
+0.0521765
+0.0521277
+0.0518521
+0.0514524
+0.0511388
+0.0505983
+0.0489941
+0.0474368
+0.0459313
+0.0444827
+0.0430968
+0.0417729
+0.0404658
+0.0391413
+0.0377026
+0.036055
+0.0344679
+0.0329501
+0.0315116
+0.0301603
+0.0288933
+0.0277417
+0.0267166
+0.0258301
+0.0251039
+0.0244974
+0.0233495
+0.0223472
+0.0214968
+0.020839
+0.0203933
+0.0201684
+0.0201425
+0.0203538
+0.0207915
+0.0214234
+0.0220007
+0.0218862
+0.0219903
+0.02231
+0.0228332
+0.023539
+0.0244019
+0.0254196
+0.0265792
+0.0278628
+0.0292433
+0.0307178
+0.0322738
+0.0338999
+0.0355867
+0.0373259
+0.0387954
+0.0402716
+0.0418105
+0.0433997
+0.0450365
+0.0467187
+0.0469337
+0.0471317
+0.0474301
+0.0478185
+0.0482926
+0.0488603
+0.0772224
+0.0767526
+0.0763428
+0.075994
+0.0756976
+0.0754608
+0.0752871
+0.0751768
+0.0751302
+0.0751475
+0.0752286
+0.0753734
+0.0755813
+0.075229
+0.0737367
+0.0722799
+0.0708609
+0.069482
+0.0681457
+0.0668544
+0.0656109
+0.0644179
+0.0632783
+0.062195
+0.0611709
+0.0602028
+0.0592931
+0.0584513
+0.0576806
+0.0569837
+0.0563633
+0.0558221
+0.0553624
+0.0549862
+0.0546951
+0.054489
+0.0543642
+0.0543111
+0.0538547
+0.053466
+0.0531644
+0.0515533
+0.0499798
+0.0484542
+0.0469813
+0.0455661
+0.0442108
+0.0424043
+0.0405932
+0.0388212
+0.037094
+0.0354181
+0.0338011
+0.0322519
+0.0307807
+0.0293994
+0.028121
+0.0269456
+0.0258891
+0.0249732
+0.0242186
+0.0235133
+0.0223148
+0.0212638
+0.0203683
+0.0196751
+0.0192024
+0.0189707
+0.0189439
+0.0191684
+0.0196225
+0.0202908
+0.0208556
+0.0207346
+0.0208444
+0.0211814
+0.0217351
+0.0224798
+0.0233761
+0.0244365
+0.0256406
+0.0269676
+0.0283913
+0.0299078
+0.0315038
+0.0331678
+0.03489
+0.0366622
+0.0381496
+0.0396467
+0.0411997
+0.0428086
+0.0444672
+0.0461701
+0.0477095
+0.0479043
+0.0481979
+0.0485802
+0.0490469
+0.049606
+0.0785065
+0.0780445
+0.0776415
+0.0772986
+0.077006
+0.0767733
+0.0766024
+0.076494
+0.0764482
+0.0764652
+0.0765449
+0.0766871
+0.0768915
+0.0768301
+0.0753694
+0.0739448
+0.0725584
+0.0712124
+0.0699091
+0.0686511
+0.0674407
+0.0662806
+0.0651736
+0.0641223
+0.0631293
+0.0621856
+0.0613054
+0.0604917
+0.0597472
+0.0590747
+0.0584765
+0.0579551
+0.0575124
+0.0571503
+0.0568704
+0.0566721
+0.0565521
+0.0563125
+0.0558681
+0.0554931
+0.0541688
+0.0525823
+0.0510405
+0.0495476
+0.0476524
+0.0457344
+0.043842
+0.0419786
+0.0401482
+0.0383557
+0.0366065
+0.0349072
+0.0332654
+0.03169
+0.0301915
+0.0287818
+0.0274697
+0.0262457
+0.0251532
+0.0242102
+0.0234345
+0.022694
+0.021449
+0.0203591
+0.0194221
+0.0186935
+0.0181954
+0.0179524
+0.0179338
+0.0181706
+0.0186384
+0.0193408
+0.0198859
+0.0197589
+0.0198741
+0.0202274
+0.0208035
+0.021562
+0.022509
+0.0236143
+0.0248582
+0.0262249
+0.0276868
+0.0292399
+0.0308704
+0.0325668
+0.0343191
+0.0361194
+0.0376036
+0.0391216
+0.0406947
+0.0423227
+0.0439996
+0.04572
+0.0474792
+0.0487631
+0.0490516
+0.0494072
+0.049829
+0.0503426
+0.0795668
+0.0792634
+0.0789796
+0.0786325
+0.0783433
+0.0781145
+0.0779466
+0.0778401
+0.0777951
+0.0778118
+0.0778901
+0.0780298
+0.0782307
+0.0784597
+0.0770299
+0.0756366
+0.0742818
+0.0729675
+0.0716962
+0.07047
+0.0692914
+0.0681629
+0.0670869
+0.066066
+0.0650971
+0.064182
+0.0633295
+0.0625421
+0.0618224
+0.0611727
+0.0605953
+0.0600922
+0.0596654
+0.0593164
+0.0590467
+0.0588558
+0.0587403
+0.0583263
+0.057894
+0.0568329
+0.055236
+0.0532761
+0.0512898
+0.0493207
+0.0473711
+0.0454434
+0.0435402
+0.0416638
+0.039819
+0.0380109
+0.0362451
+0.034528
+0.0328672
+0.0312718
+0.0297523
+0.0283185
+0.0269554
+0.0257068
+0.0245905
+0.0236249
+0.0228295
+0.0220252
+0.0207401
+0.0196162
+0.0186428
+0.0178766
+0.0173549
+0.0171
+0.0170823
+0.0173309
+0.0178469
+0.0185914
+0.0190856
+0.0189533
+0.0190734
+0.0194412
+0.0200256
+0.0208125
+0.0217902
+0.0229241
+0.0242035
+0.0256068
+0.0271146
+0.0287105
+0.0303804
+0.0321043
+0.0338806
+0.0357029
+0.0371788
+0.0387135
+0.0403026
+0.0419458
+0.0436372
+0.0453714
+0.0471435
+0.0489496
+0.0497747
+0.0500976
+0.0505136
+0.0510203
+0.0806452
+0.0803458
+0.0801052
+0.079924
+0.0797184
+0.0794935
+0.0793286
+0.0792239
+0.0791797
+0.0791961
+0.079273
+0.0794103
+0.0796077
+0.0798648
+0.0787163
+0.0773534
+0.0760291
+0.0747457
+0.0735051
+0.0723096
+0.0711614
+0.070063
+0.0690167
+0.0680246
+0.0670784
+0.0661907
+0.0653644
+0.0646018
+0.0639053
+0.063277
+0.0627189
+0.062233
+0.0618209
+0.0614842
+0.0612241
+0.06104
+0.06084
+0.0603524
+0.0591659
+0.0571323
+0.0551108
+0.0531027
+0.0511095
+0.0491333
+0.0471759
+0.04524
+0.0433283
+0.0414442
+0.0395917
+0.0377748
+0.0359975
+0.0342681
+0.0325943
+0.030985
+0.0294508
+0.0279918
+0.0266119
+0.0253465
+0.0242135
+0.0232324
+0.0224229
+0.0215591
+0.0202445
+0.0190914
+0.0180899
+0.0172992
+0.0167596
+0.0164954
+0.0164771
+0.0167347
+0.0172686
+0.0180542
+0.0184959
+0.0183593
+0.0184833
+0.0188626
+0.0194616
+0.0202548
+0.0212452
+0.0224067
+0.0237141
+0.0251447
+0.0266762
+0.0282928
+0.0299825
+0.0317334
+0.0335361
+0.0353826
+0.0368796
+0.0384262
+0.0400266
+0.0416808
+0.0433825
+0.0451264
+0.0469078
+0.0487226
+0.050553
+0.050871
+0.0512807
+0.0517799
+0.0817668
+0.0814716
+0.0812344
+0.0810557
+0.0809297
+0.0808576
+0.0807463
+0.0806434
+0.0806
+0.0806161
+0.0806917
+0.0808266
+0.0810206
+0.0812731
+0.080427
+0.0790936
+0.077799
+0.0765452
+0.0753342
+0.0741682
+0.0730493
+0.0719797
+0.0709616
+0.0699921
+0.0690723
+0.0682106
+0.067409
+0.0666699
+0.0659951
+0.0653869
+0.064847
+0.0643772
+0.0639789
+0.0636536
+0.0634024
+0.0632247
+0.0628615
+0.061138
+0.059091
+0.0570548
+0.0550304
+0.0530192
+0.0510228
+0.0490431
+0.047082
+0.045142
+0.043226
+0.0413373
+0.0394797
+0.0376574
+0.0358743
+0.0341387
+0.0324582
+0.0308418
+0.0293
+0.0278263
+0.0264421
+0.0251716
+0.0240311
+0.0230421
+0.0222256
+0.0213093
+0.0199782
+0.0188088
+0.0177913
+0.0169868
+0.0164369
+0.0161675
+0.0161487
+0.0164115
+0.0169555
+0.0177551
+0.0181205
+0.0179811
+0.0181076
+0.0184946
+0.0190875
+0.0198956
+0.020903
+0.0220825
+0.023408
+0.0248562
+0.0264045
+0.0280368
+0.029741
+0.0315053
+0.0333203
+0.0351782
+0.0367088
+0.0382624
+0.0398694
+0.0415298
+0.0432375
+0.044987
+0.0467737
+0.0485935
+0.0504428
+0.0517257
+0.0521286
+0.0526198
+0.0829212
+0.0826301
+0.0823962
+0.08222
+0.0820978
+0.0820267
+0.0820141
+0.0820601
+0.0820543
+0.0820701
+0.0821443
+0.0822769
+0.0824674
+0.0827156
+0.0821606
+0.0808557
+0.0795898
+0.0783646
+0.0771822
+0.0760445
+0.0749537
+0.0739116
+0.0729204
+0.071972
+0.0710778
+0.0702407
+0.0694626
+0.0687455
+0.0680914
+0.067502
+0.0669792
+0.0665244
+0.0661391
+0.0658245
+0.0655816
+0.0652655
+0.0632004
+0.061144
+0.0590973
+0.0570613
+0.0550371
+0.0530262
+0.0510301
+0.0490506
+0.0470899
+0.0451502
+0.0432346
+0.0413462
+0.0394892
+0.0376673
+0.0358847
+0.0341496
+0.0324696
+0.0308538
+0.0292899
+0.0278062
+0.026421
+0.0251506
+0.0240111
+0.0230206
+0.0222027
+0.0212787
+0.0199433
+0.01875
+0.0177196
+0.0169117
+0.0163592
+0.0160885
+0.0160587
+0.0163229
+0.0168699
+0.0176733
+0.0179869
+0.0178464
+0.0179739
+0.0183637
+0.0189607
+0.019774
+0.0207873
+0.021973
+0.0233047
+0.0247589
+0.026313
+0.0279506
+0.0296597
+0.0314287
+0.0332479
+0.0351095
+0.0366666
+0.0382169
+0.0398255
+0.0414873
+0.0431964
+0.0449472
+0.0467352
+0.0485561
+0.0504066
+0.0522833
+0.0530535
+0.0535362
+0.0841168
+0.0838298
+0.0835993
+0.0834256
+0.0833071
+0.083237
+0.0832247
+0.0832699
+0.0833727
+0.0835329
+0.0836291
+0.0837593
+0.0839465
+0.0841903
+0.0839154
+0.0826383
+0.0814001
+0.0802026
+0.0790477
+0.0779373
+0.0768732
+0.0758576
+0.0748875
+0.0739637
+0.073094
+0.0722802
+0.0715243
+0.0708281
+0.0701933
+0.0696218
+0.069115
+0.0686743
+0.0683012
+0.0679965
+0.0674126
+0.0653447
+0.0632821
+0.0612273
+0.0591823
+0.0571481
+0.0551259
+0.0531171
+0.0511232
+0.0491461
+0.0471879
+0.0452509
+0.0433381
+0.0414529
+0.0395991
+0.0377814
+0.0360052
+0.0342771
+0.0326045
+0.0309945
+0.0294344
+0.0279584
+0.0265811
+0.0253187
+0.0241871
+0.0232041
+0.022393
+0.0214339
+0.0201088
+0.018926
+0.0179057
+0.0171066
+0.0165606
+0.0162933
+0.0162639
+0.0165248
+0.0170652
+0.0178599
+0.0180936
+0.017954
+0.0180807
+0.0184682
+0.0190807
+0.0198891
+0.0208968
+0.0220766
+0.0234024
+0.024851
+0.026402
+0.0280359
+0.0297401
+0.0315045
+0.0333196
+0.0351774
+0.0367317
+0.0382793
+0.0398853
+0.0415448
+0.0432516
+0.0450003
+0.0467862
+0.0486053
+0.0504539
+0.0523289
+0.0540514
+0.0545253
+0.0853518
+0.085069
+0.0848418
+0.0846708
+0.0845557
+0.0844869
+0.0844747
+0.0845192
+0.0846206
+0.0847784
+0.0849924
+0.0852621
+0.0854561
+0.0856956
+0.0856904
+0.0844401
+0.0832287
+0.0820579
+0.0809295
+0.0798452
+0.078807
+0.0778165
+0.0768661
+0.0759665
+0.0751199
+0.0743283
+0.0735934
+0.072917
+0.0723006
+0.0717458
+0.0712541
+0.0708268
+0.070465
+0.0696167
+0.0675465
+0.0654838
+0.0634247
+0.0613747
+0.0593348
+0.057306
+0.0552896
+0.053287
+0.0512997
+0.0493296
+0.047379
+0.0454502
+0.0435462
+0.0416703
+0.0398267
+0.0380198
+0.0362553
+0.0345397
+0.0328805
+0.0312848
+0.02974
+0.0282799
+0.0269171
+0.0256661
+0.0245472
+0.0235793
+0.0227815
+0.0218092
+0.0205084
+0.01935
+0.0183533
+0.0175745
+0.0170436
+0.0167839
+0.0167554
+0.0170088
+0.0175343
+0.0183086
+0.0184361
+0.0182992
+0.0184235
+0.018804
+0.0193924
+0.0201883
+0.0211818
+0.0223466
+0.0236573
+0.0250911
+0.0266281
+0.0282515
+0.0299473
+0.0317038
+0.0335114
+0.0353624
+0.0369268
+0.0384666
+0.0400651
+0.0417174
+0.0434174
+0.0451597
+0.0469395
+0.0487529
+0.0505961
+0.052466
+0.0543599
+0.0555482
+0.0866247
+0.086346
+0.0861222
+0.0859537
+0.0858408
+0.0857744
+0.0857624
+0.0858063
+0.0859061
+0.0860616
+0.0862724
+0.0865381
+0.0868584
+0.08723
+0.0874842
+0.0862599
+0.0850744
+0.0839294
+0.0828265
+0.0817674
+0.0807538
+0.0797833
+0.078856
+0.0779793
+0.0771548
+0.0763843
+0.0756694
+0.0750117
+0.0744126
+0.0738737
+0.0733963
+0.0729815
+0.0718868
+0.0698152
+0.0677511
+0.0656947
+0.0636425
+0.0615997
+0.0595675
+0.057547
+0.0555393
+0.053546
+0.0515687
+0.0496093
+0.0476701
+0.0457536
+0.0438627
+0.042001
+0.0401726
+0.038382
+0.036635
+0.034938
+0.0332986
+0.0317215
+0.0301942
+0.0287527
+0.0274105
+0.0261831
+0.0250874
+0.0241411
+0.0233625
+0.0223935
+0.0211287
+0.0200062
+0.0190439
+0.0182946
+0.0177851
+0.0175365
+0.0175091
+0.0177518
+0.0182559
+0.0190008
+0.0190264
+0.0188937
+0.0190141
+0.019383
+0.0199413
+0.0207161
+0.0216855
+0.0228245
+0.0241093
+0.0255177
+0.0270305
+0.0286311
+0.0303056
+0.0320425
+0.033832
+0.0356664
+0.03725
+0.0387769
+0.0403631
+0.0420037
+0.0436925
+0.0454243
+0.0471942
+0.0489981
+0.0508324
+0.052694
+0.05458
+0.0564073
+0.0879337
+0.0876592
+0.0874388
+0.0872728
+0.0871616
+0.0870977
+0.0870858
+0.0871291
+0.0872274
+0.0873805
+0.0875881
+0.0878499
+0.0881654
+0.0885339
+0.0889549
+0.0880966
+0.0869362
+0.085816
+0.0847376
+0.0837027
+0.0827129
+0.0817608
+0.0808563
+0.0800015
+0.0791981
+0.0784476
+0.0777517
+0.0771117
+0.0765291
+0.0760052
+0.0755413
+0.0742168
+0.0721456
+0.0700817
+0.0680257
+0.0659778
+0.0639346
+0.0619015
+0.0598796
+0.0578699
+0.0558738
+0.0538929
+0.0519288
+0.0499836
+0.0480593
+0.0461583
+0.0442841
+0.0424403
+0.0406308
+0.0388607
+0.0371354
+0.0354616
+0.0338468
+0.0322904
+0.0307912
+0.0293789
+0.0280668
+0.0268694
+0.0258028
+0.0248837
+0.0241291
+0.023171
+0.021951
+0.0208728
+0.0199524
+0.0192384
+0.0187546
+0.018519
+0.0184931
+0.018723
+0.0192017
+0.0199076
+0.0198151
+0.0196877
+0.0198033
+0.0201578
+0.0207085
+0.0214557
+0.022393
+0.0234978
+0.0247476
+0.0261217
+0.0276014
+0.0291707
+0.0308159
+0.0325255
+0.0342899
+0.036101
+0.0376978
+0.0392074
+0.0407768
+0.0424014
+0.044075
+0.0457923
+0.0475485
+0.0493394
+0.0511615
+0.0530115
+0.0548866
+0.0567843
+0.0892773
+0.0890069
+0.0887899
+0.0886264
+0.0885169
+0.088454
+0.0884423
+0.0884849
+0.0885817
+0.0887324
+0.0889369
+0.0891948
+0.0895055
+0.0898686
+0.0902833
+0.0899492
+0.088813
+0.0877167
+0.086662
+0.0856504
+0.0846794
+0.083749
+0.0828662
+0.0820323
+0.081249
+0.0805177
+0.0798398
+0.0792167
+0.0786497
+0.07814
+0.0766012
+0.0745319
+0.0724697
+0.0704153
+0.0683694
+0.066332
+0.0642999
+0.0622783
+0.0602685
+0.0582718
+0.0562894
+0.0543231
+0.0523746
+0.050446
+0.0485396
+0.0466582
+0.044805
+0.0429834
+0.0411979
+0.0394532
+0.037755
+0.0361099
+0.0345186
+0.0329892
+0.0315232
+0.0301452
+0.0288679
+0.0277052
+0.026672
+0.0257839
+0.0250565
+0.024123
+0.0229535
+0.0219058
+0.0210288
+0.0203508
+0.0198922
+0.0196683
+0.0196452
+0.0198618
+0.0203108
+0.020975
+0.0207922
+0.0206709
+0.020781
+0.0211191
+0.0216707
+0.022386
+0.0232859
+0.0243503
+0.0255584
+0.0268911
+0.0283306
+0.0298616
+0.0314707
+0.0331466
+0.0348796
+0.0366615
+0.0382661
+0.039754
+0.0413027
+0.0429074
+0.044562
+0.0462612
+0.0480002
+0.049775
+0.0515817
+0.0534171
+0.0552784
+0.0571631
+0.0906539
+0.0903877
+0.0901739
+0.090013
+0.0899051
+0.0898432
+0.0898317
+0.0898736
+0.0899689
+0.0901174
+0.0903187
+0.0905726
+0.0908786
+0.0912362
+0.0916448
+0.0918166
+0.0907038
+0.0896307
+0.0885988
+0.0876095
+0.086656
+0.0857471
+0.084885
+0.0840712
+0.083307
+0.0825939
+0.0819332
+0.0813261
+0.0807739
+0.0790352
+0.076969
+0.0749098
+0.0728583
+0.0708152
+0.0687812
+0.066753
+0.0647339
+0.0627263
+0.0607313
+0.0587503
+0.0567847
+0.0548361
+0.0529065
+0.050998
+0.0491131
+0.0472545
+0.0454256
+0.04363
+0.041872
+0.040156
+0.0384811
+0.0368602
+0.0353009
+0.0338069
+0.032378
+0.031038
+0.029799
+0.028674
+0.027677
+0.0268223
+0.0261237
+0.0252294
+0.0240808
+0.0230789
+0.0222482
+0.0216085
+0.0211772
+0.020967
+0.0209444
+0.0211477
+0.0215707
+0.0221971
+0.0219452
+0.0218303
+0.0219346
+0.0222551
+0.0227828
+0.0234844
+0.0243438
+0.0253637
+0.0265258
+0.0278121
+0.0292063
+0.0306937
+0.0322613
+0.0338981
+0.0355945
+0.0373424
+0.0389494
+0.0404122
+0.0419366
+0.0435179
+0.0451502
+0.046828
+0.0485468
+0.0503022
+0.0520906
+0.0539087
+0.0557536
+0.0576228
+0.092062
+0.0917999
+0.0915895
+0.091431
+0.0913249
+0.0912639
+0.0912526
+0.0912938
+0.0913876
+0.0915338
+0.091732
+0.091982
+0.0922834
+0.0926356
+0.093038
+0.0934901
+0.0926079
+0.0915571
+0.0905471
+0.0895757
+0.0886426
+0.0877543
+0.0869122
+0.0861175
+0.0853717
+0.0846759
+0.0840316
+0.0834398
+0.0815142
+0.0794521
+0.077397
+0.0753495
+0.0733104
+0.0712802
+0.0692578
+0.0672425
+0.0652386
+0.063247
+0.061269
+0.0593059
+0.0573593
+0.055431
+0.0535229
+0.0516371
+0.0497764
+0.0479436
+0.0461419
+0.0443731
+0.0426386
+0.040948
+0.0393067
+0.0377213
+0.0361991
+0.0347437
+0.033355
+0.0320558
+0.0308577
+0.0297728
+0.0288138
+0.0279938
+0.0273252
+0.0264406
+0.0253428
+0.0243927
+0.0236083
+0.0230065
+0.0226019
+0.0224051
+0.022383
+0.0225734
+0.0229708
+0.0235299
+0.0232472
+0.0231387
+0.0232371
+0.0235399
+0.0240394
+0.0247235
+0.0255461
+0.0265199
+0.0276333
+0.0288704
+0.0302158
+0.0316557
+0.0331779
+0.0347716
+0.0364273
+0.0381371
+0.0397419
+0.0411766
+0.0426737
+0.0442286
+0.0458356
+0.0474892
+0.0491849
+0.0509183
+0.0526858
+0.0544841
+0.0563101
+0.0581614
+0.0935003
+0.0932423
+0.093035
+0.0928791
+0.0927746
+0.0927145
+0.0927034
+0.0927441
+0.0928364
+0.0929803
+0.0931754
+0.0934216
+0.0937183
+0.0940651
+0.0944614
+0.0949067
+0.0945243
+0.0934951
+0.0925063
+0.0915515
+0.0906387
+0.0897702
+0.0889471
+0.0881708
+0.0874424
+0.0867633
+0.0860982
+0.0840344
+0.0819771
+0.0799269
+0.0778843
+0.07585
+0.0738247
+0.071809
+0.0697986
+0.0677994
+0.0658123
+0.0638387
+0.0618796
+0.0599365
+0.0580111
+0.0561052
+0.0542208
+0.0523602
+0.0505261
+0.0487177
+0.0469393
+0.0451972
+0.0434956
+0.0418396
+0.0402347
+0.0386874
+0.0372047
+0.0357903
+0.0344437
+0.0331873
+0.0320315
+0.0309877
+0.0300675
+0.0292826
+0.0286441
+0.0277682
+0.026725
+0.0258259
+0.0250863
+0.0245208
+0.0241415
+0.0239574
+0.023936
+0.024114
+0.0244871
+0.0249381
+0.0246714
+0.0245692
+0.024662
+0.0249475
+0.0254193
+0.0260673
+0.0268735
+0.0278008
+0.0288649
+0.0300513
+0.031346
+0.0327363
+0.0342105
+0.0357582
+0.0373702
+0.0390387
+0.0406372
+0.0420413
+0.0435086
+0.0450348
+0.0466139
+0.0482409
+0.049911
+0.0516201
+0.0533644
+0.0551405
+0.0569455
+0.0587768
+0.0949674
+0.0947133
+0.0945093
+0.0943558
+0.0942529
+0.0941938
+0.0941829
+0.0942229
+0.0943137
+0.0944554
+0.0946475
+0.0948898
+0.0951819
+0.0955234
+0.0959138
+0.0963523
+0.0964525
+0.095444
+0.0944723
+0.0935368
+0.0926436
+0.091794
+0.0909892
+0.0902305
+0.089509
+0.0883922
+0.086592
+0.0845402
+0.0824955
+0.0804585
+0.0784298
+0.07641
+0.0743999
+0.072397
+0.0704034
+0.0684218
+0.0664534
+0.0644993
+0.0625609
+0.0606397
+0.0587374
+0.0568558
+0.0549971
+0.0531587
+0.0513472
+0.0495664
+0.0478196
+0.0461108
+0.0444442
+0.0428249
+0.0412583
+0.0397509
+0.0383094
+0.0369373
+0.0356341
+0.0344211
+0.0333082
+0.0323056
+0.0314241
+0.0306739
+0.030065
+0.0292
+0.0282098
+0.0273595
+0.0266625
+0.0261311
+0.0257756
+0.0256028
+0.0255824
+0.0257491
+0.0260992
+0.0264529
+0.0262017
+0.0261055
+0.0261928
+0.0264618
+0.026907
+0.02752
+0.0282897
+0.029185
+0.0302003
+0.0313362
+0.0325799
+0.0339197
+0.0353445
+0.0368446
+0.0384111
+0.0400362
+0.0416286
+0.0430003
+0.044436
+0.0459314
+0.0474807
+0.049079
+0.0507215
+0.0524041
+0.0541231
+0.0558752
+0.0576572
+0.0594665
+0.0964619
+0.0962117
+0.0960109
+0.0958598
+0.0957585
+0.0957004
+0.0956896
+0.095729
+0.0958184
+0.0959578
+0.0961469
+0.0963855
+0.0966731
+0.0970094
+0.0973937
+0.0978257
+0.0983045
+0.0974033
+0.0964473
+0.0955311
+0.0946567
+0.0937059
+0.0924841
+0.0912986
+0.0901507
+0.0890419
+0.0871381
+0.0850994
+0.0830685
+0.0810459
+0.0790323
+0.0770283
+0.0750333
+0.073046
+0.0710706
+0.0691082
+0.0671599
+0.065227
+0.0633108
+0.0614131
+0.0595347
+0.0576738
+0.055837
+0.0540265
+0.0522451
+0.050496
+0.0487825
+0.0471086
+0.0454786
+0.0438974
+0.0423706
+0.0409041
+0.0395047
+0.0381756
+0.0369162
+0.0357467
+0.0346763
+0.0337145
+0.0328708
+0.0321544
+0.031574
+0.0307215
+0.0297819
+0.0289777
+0.0283206
+0.0278209
+0.0274872
+0.0273245
+0.0273054
+0.0274616
+0.0277902
+0.0280571
+0.0278204
+0.0277298
+0.027812
+0.0280655
+0.0284857
+0.0290654
+0.0297952
+0.0306465
+0.031615
+0.0327017
+0.0338954
+0.0351851
+0.0365607
+0.0380128
+0.039533
+0.0411138
+0.042702
+0.0440475
+0.0454502
+0.0469132
+0.0484312
+0.049999
+0.0516123
+0.0532668
+0.0549588
+0.056685
+0.0584424
+0.0602281
+0.0979826
+0.0977363
+0.0975387
+0.0973899
+0.0972902
+0.097233
+0.0972224
+0.0972611
+0.0973492
+0.0974864
+0.0976725
+0.0979074
+0.0981905
+0.0985216
+0.0989001
+0.0993255
+0.0997972
+0.0993691
+0.0982126
+0.0968991
+0.0956178
+0.0943699
+0.0931569
+0.09198
+0.0908407
+0.0897405
+0.0877355
+0.085711
+0.0836949
+0.0816879
+0.0796905
+0.0777035
+0.0757231
+0.0737543
+0.0717984
+0.0698565
+0.0679296
+0.0660193
+0.0641248
+0.062247
+0.0603903
+0.0585567
+0.0567484
+0.0549679
+0.0532181
+0.051502
+0.0498231
+0.0481854
+0.0465931
+0.0450511
+0.0435647
+0.0421398
+0.0407828
+0.0394967
+0.0382808
+0.0371543
+0.0361256
+0.0352034
+0.0343962
+0.0337123
+0.0331592
+0.0323199
+0.0314281
+0.0306671
+0.030047
+0.0295765
+0.0292628
+0.0291093
+0.0290914
+0.0292381
+0.0295469
+0.0297363
+0.029513
+0.0294276
+0.0295051
+0.0297442
+0.030141
+0.0306894
+0.0313815
+0.0321909
+0.0331142
+0.0341533
+0.0352979
+0.0365381
+0.0378646
+0.0392685
+0.0407419
+0.0422775
+0.0438511
+0.0451652
+0.0465453
+0.047975
+0.0494604
+0.0509967
+0.0525793
+0.0542043
+0.0558679
+0.0575669
+0.0592981
+0.0610588
+0.0995282
+0.0992858
+0.0990912
+0.0989448
+0.0988467
+0.0987904
+0.0987799
+0.0988181
+0.0989047
+0.0990398
+0.099223
+0.0994542
+0.099733
+0.100059
+0.100432
+0.100851
+0.101315
+0.10023
+0.0988949
+0.0975906
+0.0963185
+0.0950798
+0.0938759
+0.0927082
+0.091578
+0.0904008
+0.0883831
+0.0863739
+0.0843736
+0.0823831
+0.0804029
+0.0784312
+0.0764694
+0.0745204
+0.0725851
+0.0706648
+0.0687575
+0.0668663
+0.0649938
+0.0631419
+0.0613123
+0.0595071
+0.0577286
+0.0559793
+0.0542621
+0.0525801
+0.0509368
+0.049336
+0.0477821
+0.0462797
+0.044834
+0.0434508
+0.0421361
+0.0408926
+0.0397194
+0.0386348
+0.0376467
+0.0367627
+0.0359904
+0.0353373
+0.0348101
+0.0339843
+0.0331374
+0.0324166
+0.0318305
+0.0313868
+0.0310914
+0.0309463
+0.0309295
+0.0310675
+0.0313583
+0.0314784
+0.0312676
+0.031187
+0.0312601
+0.0314859
+0.031861
+0.0323803
+0.033037
+0.0338067
+0.0346871
+0.0356804
+0.0367775
+0.0379694
+0.0392475
+0.0406037
+0.0420303
+0.0435205
+0.0450679
+0.0463567
+0.0477024
+0.049109
+0.0505637
+0.0520674
+0.0536184
+0.0552129
+0.056847
+0.0585175
+0.0602214
+0.0619559
+0.101098
+0.100859
+0.100668
+0.100523
+0.100427
+0.100371
+0.100361
+0.100399
+0.100484
+0.100617
+0.100797
+0.101025
+0.101299
+0.10162
+0.101987
+0.1024
+0.102302
+0.100946
+0.0996207
+0.098326
+0.0970635
+0.0958345
+0.0946402
+0.0934821
+0.0923613
+0.0910822
+0.08908
+0.0870868
+0.0851033
+0.0831302
+0.0811672
+0.0792126
+0.0772707
+0.0753422
+0.0734247
+0.0715227
+0.0696377
+0.067771
+0.0659243
+0.0640992
+0.0622978
+0.0605219
+0.0587742
+0.0570569
+0.0553732
+0.0537259
+0.0521188
+0.0505554
+0.0490401
+0.0475775
+0.0461725
+0.0448306
+0.0435575
+0.0423482
+0.0412164
+0.0401723
+0.0392229
+0.0383752
+0.0376361
+0.0370121
+0.036509
+0.0357057
+0.0349005
+0.0342169
+0.0336622
+0.0332429
+0.0329641
+0.0328268
+0.0328109
+0.032941
+0.0332154
+0.0332723
+0.0330742
+0.032998
+0.0330671
+0.0332806
+0.0336357
+0.0341281
+0.0347517
+0.0354843
+0.036324
+0.0372737
+0.0383253
+0.0394705
+0.0407015
+0.0420107
+0.0433911
+0.0448361
+0.0463396
+0.0476193
+0.0489303
+0.0503025
+0.0517312
+0.0532068
+0.0547256
+0.0562886
+0.0578924
+0.0595336
+0.0612092
+0.0629165
+0.10269
+0.102455
+0.102267
+0.102125
+0.10203
+0.101975
+0.101965
+0.102002
+0.102086
+0.102217
+0.102394
+0.102618
+0.102888
+0.103204
+0.103566
+0.103972
+0.10305
+0.101705
+0.100389
+0.0991044
+0.097852
+0.096633
+0.0954487
+0.0943005
+0.0931896
+0.0918109
+0.0898248
+0.0878486
+0.0858827
+0.0839279
+0.0819811
+0.0800454
+0.0781203
+0.0762095
+0.0743142
+0.0724355
+0.0705749
+0.0687337
+0.0669135
+0.0651162
+0.0633437
+0.061598
+0.0598816
+0.0581971
+0.0565473
+0.0549353
+0.0533645
+0.0518388
+0.0503621
+0.048939
+0.0475742
+0.046273
+0.0450322
+0.0438603
+0.0427686
+0.0417633
+0.0408509
+0.0400377
+0.0393298
+0.0387331
+0.0382526
+0.037475
+0.0367092
+0.0360602
+0.0355345
+0.0351376
+0.034874
+0.0347416
+0.0347265
+0.0348495
+0.035109
+0.0350992
+0.0349168
+0.0348527
+0.0349181
+0.0351204
+0.0354571
+0.0359244
+0.0365174
+0.0372153
+0.0380168
+0.0389252
+0.0399333
+0.0410336
+0.0422191
+0.0434826
+0.0448177
+0.0462181
+0.047678
+0.0489474
+0.0502237
+0.0515615
+0.0529562
+0.0544034
+0.0558967
+0.0574279
+0.0590007
+0.0606119
+0.0622585
+0.0639377
+0.104304
+0.104073
+0.103887
+0.103747
+0.103654
+0.1036
+0.10359
+0.103627
+0.103709
+0.103838
+0.104013
+0.104233
+0.104499
+0.10481
+0.105166
+0.105203
+0.103839
+0.102504
+0.101199
+0.0999248
+0.0986828
+0.0974742
+0.0963002
+0.0951623
+0.0940615
+0.0925856
+0.0906166
+0.0886576
+0.0867059
+0.0847656
+0.0828377
+0.0809214
+0.0790176
+0.0771291
+0.0752569
+0.0734024
+0.0715669
+0.0697519
+0.067959
+0.0661901
+0.0644471
+0.0627321
+0.0610476
+0.0593962
+0.0577806
+0.056204
+0.0546697
+0.0531814
+0.0517431
+0.050359
+0.0490338
+0.0477663
+0.0465602
+0.0454277
+0.0443746
+0.0434065
+0.0425294
+0.0417489
+0.0410705
+0.0404994
+0.0400402
+0.039276
+0.0385465
+0.0379296
+0.037431
+0.0370553
+0.0368065
+0.036675
+0.0366608
+0.0367773
+0.0370233
+0.0369655
+0.0367923
+0.0367443
+0.0368064
+0.0369983
+0.0373181
+0.0377624
+0.038327
+0.0389925
+0.0397582
+0.0406277
+0.0415945
+0.042652
+0.0437937
+0.045013
+0.046304
+0.0476608
+0.0490778
+0.0503358
+0.0515778
+0.0528814
+0.0542421
+0.0556559
+0.0571187
+0.0586269
+0.0601684
+0.0617491
+0.0633661
+0.0650168
+0.105939
+0.105711
+0.105528
+0.105391
+0.105299
+0.105246
+0.105236
+0.105272
+0.105353
+0.10548
+0.105652
+0.105869
+0.106131
+0.106437
+0.106788
+0.106021
+0.104668
+0.103344
+0.10205
+0.100786
+0.0995549
+0.098357
+0.0971937
+0.0960663
+0.0949761
+0.0934037
+0.0914481
+0.0895034
+0.0875702
+0.0856495
+0.083742
+0.0818467
+0.0799649
+0.0780993
+0.076251
+0.0744212
+0.0726114
+0.0708232
+0.0690582
+0.0673181
+0.0656051
+0.0639212
+0.0622689
+0.0606508
+0.0590695
+0.0575282
+0.0560302
+0.054579
+0.0531785
+0.0518328
+0.0505425
+0.0493069
+0.0481394
+0.047045
+0.0460289
+0.0450963
+0.0442527
+0.0435031
+0.0428525
+0.0423055
+0.0418661
+0.0411144
+0.040418
+0.0398302
+0.0393556
+0.0389985
+0.0387621
+0.0386358
+0.0386223
+0.0387329
+0.0389665
+0.0388657
+0.038701
+0.0386599
+0.0387225
+0.0389049
+0.0392091
+0.0396323
+0.0401706
+0.0408099
+0.0415421
+0.042375
+0.0433029
+0.0443196
+0.0454194
+0.0465962
+0.0478445
+0.0491588
+0.0505338
+0.0517797
+0.0529878
+0.0542576
+0.0555847
+0.0569651
+0.0583951
+0.0598712
+0.0613899
+0.062942
+0.0645292
+0.0661508
+0.107593
+0.107369
+0.107189
+0.107054
+0.106963
+0.106911
+0.106901
+0.106936
+0.107017
+0.107141
+0.107311
+0.107525
+0.107782
+0.108084
+0.108248
+0.106879
+0.105536
+0.104223
+0.10294
+0.101687
+0.100467
+0.0992803
+0.098128
+0.0970114
+0.0959319
+0.0942576
+0.09232
+0.090394
+0.0884804
+0.0865799
+0.0846933
+0.0828195
+0.0809604
+0.0791183
+0.0772943
+0.0754898
+0.0737063
+0.0719453
+0.0702085
+0.0684977
+0.0668149
+0.0651623
+0.0635423
+0.0619574
+0.0604103
+0.0589041
+0.057442
+0.0560274
+0.054664
+0.0533541
+0.0520931
+0.0508952
+0.049765
+0.0487071
+0.0477264
+0.0468277
+0.0460158
+0.0452954
+0.0446709
+0.0441464
+0.0437255
+0.0429858
+0.0423202
+0.0417592
+0.0413068
+0.0409667
+0.0407417
+0.04062
+0.0406072
+0.0407124
+0.0409347
+0.0407951
+0.0406382
+0.040599
+0.0406589
+0.0408327
+0.0411227
+0.0415263
+0.0420404
+0.0426608
+0.0433634
+0.0441619
+0.045053
+0.0460311
+0.0470909
+0.048227
+0.0494341
+0.0507072
+0.0520413
+0.0532746
+0.0544496
+0.055686
+0.0569798
+0.0583272
+0.0597247
+0.0611686
+0.0626559
+0.0641835
+0.0657447
+0.067337
+0.0972643
+0.0958822
+0.0945305
+0.0932092
+0.0919211
+0.0906676
+0.089395
+0.0880567
+0.086753
+0.0854791
+0.0842414
+0.0830334
+0.0818048
+0.080617
+0.0794718
+0.078349
+0.0772344
+0.0761665
+0.0751416
+0.0741068
+0.0730632
+0.0720711
+0.0711326
+0.07025
+0.0693978
+0.0685516
+0.0676785
+0.0668155
+0.0659912
+0.0652244
+0.0645229
+0.0638211
+0.0627392
+0.0617161
+0.0607548
+0.0598572
+0.0590139
+0.0582406
+0.0575221
+0.0568569
+0.0562685
+0.0557522
+0.0553179
+0.0549536
+0.0546717
+0.0544765
+0.0543689
+0.0543482
+0.0544
+0.0545398
+0.0547591
+0.0550389
+0.0554039
+0.0558525
+0.0556409
+0.0548212
+0.0540778
+0.053414
+0.0526384
+0.0518616
+0.0511607
+0.0505446
+0.050017
+0.0495806
+0.0492378
+0.0489908
+0.0488408
+0.0487889
+0.0488352
+0.0489796
+0.0492212
+0.0495557
+0.0498964
+0.0498499
+0.0497962
+0.0498032
+0.049874
+0.0500376
+0.0502464
+0.0502557
+0.0500239
+0.0498873
+0.0498459
+0.0498832
+0.0500163
+0.0502446
+0.0505669
+0.0509813
+0.0514857
+0.0520775
+0.0527537
+0.053511
+0.0543462
+0.0552557
+0.0562358
+0.057283
+0.0583936
+0.0595641
+0.060791
+0.062071
+0.0958765
+0.0944741
+0.0931021
+0.0917616
+0.0904529
+0.0891788
+0.0879409
+0.08665
+0.0853248
+0.0840292
+0.0827699
+0.0815499
+0.0803461
+0.0791364
+0.0779695
+0.0768473
+0.075736
+0.0746467
+0.0736064
+0.0725709
+0.0715352
+0.0705216
+0.0695622
+0.0686594
+0.0678154
+0.0669545
+0.0661156
+0.0652501
+0.0644128
+0.063627
+0.0629076
+0.0622533
+0.0612509
+0.0602025
+0.0592166
+0.0582956
+0.0574294
+0.0566346
+0.0558954
+0.0552106
+0.0546045
+0.0540723
+0.0536243
+0.0532485
+0.0529575
+0.0527559
+0.0526449
+0.0526234
+0.052677
+0.0528214
+0.0530499
+0.0533386
+0.0537152
+0.0541777
+0.0536392
+0.0527884
+0.052016
+0.0513256
+0.0506362
+0.0498282
+0.0491008
+0.0484585
+0.0479079
+0.0474521
+0.0470939
+0.0468355
+0.0466787
+0.0466243
+0.0466728
+0.0468239
+0.0470765
+0.0474236
+0.0477716
+0.0476637
+0.047608
+0.047615
+0.047689
+0.0478595
+0.0480722
+0.0481145
+0.0478723
+0.0477296
+0.0476864
+0.0477253
+0.0478644
+0.0481029
+0.0484395
+0.048872
+0.0493979
+0.0500144
+0.0507181
+0.0515054
+0.0523725
+0.0533157
+0.0543308
+0.055414
+0.0565613
+0.057769
+0.0590332
+0.0603505
+0.0945191
+0.0930962
+0.0917037
+0.0903428
+0.0890145
+0.0877195
+0.0864607
+0.0852395
+0.0839246
+0.082612
+0.0813307
+0.0800888
+0.0788882
+0.0776829
+0.0764938
+0.0753497
+0.0742526
+0.0731538
+0.0720932
+0.0710656
+0.0700423
+0.0690068
+0.0680261
+0.0671026
+0.0662387
+0.0653917
+0.0645641
+0.0637212
+0.0628652
+0.0620657
+0.0613281
+0.0606492
+0.0598004
+0.0587316
+0.0577206
+0.0567756
+0.055886
+0.0550689
+0.0543084
+0.0536033
+0.0529788
+0.0524301
+0.051968
+0.05158
+0.0512796
+0.0510714
+0.0509567
+0.0509346
+0.0509899
+0.051139
+0.051377
+0.051675
+0.0520636
+0.052539
+0.0516529
+0.0507688
+0.0499652
+0.049246
+0.0486149
+0.0478087
+0.0470527
+0.0463821
+0.0458065
+0.0453296
+0.0449545
+0.0446837
+0.0445193
+0.0444623
+0.0445131
+0.0446715
+0.0449362
+0.045297
+0.0455871
+0.045478
+0.0454199
+0.045427
+0.0455046
+0.0456824
+0.0458996
+0.0459779
+0.0457245
+0.045575
+0.0455298
+0.0455706
+0.0457162
+0.0459659
+0.0463179
+0.0467701
+0.0473194
+0.0479626
+0.0486959
+0.0495154
+0.0504168
+0.0513958
+0.0524481
+0.0535694
+0.0547554
+0.056002
+0.0573053
+0.0586614
+0.0931934
+0.09175
+0.0903367
+0.0889549
+0.0876061
+0.0862912
+0.0850112
+0.0837689
+0.0825562
+0.0812231
+0.0799257
+0.0786617
+0.0774389
+0.0762595
+0.0750531
+0.0738867
+0.0727675
+0.0716926
+0.0706101
+0.0695797
+0.0685521
+0.0675242
+0.0665216
+0.0655769
+0.0646927
+0.0638659
+0.0630215
+0.0621945
+0.061355
+0.0605435
+0.0597831
+0.0590829
+0.058386
+0.0573026
+0.0562701
+0.0553005
+0.054387
+0.053547
+0.0527646
+0.0520386
+0.0513951
+0.0508293
+0.0503525
+0.049952
+0.0496417
+0.0494266
+0.0493081
+0.0492852
+0.0493424
+0.0494965
+0.0497423
+0.0500501
+0.0504512
+0.0506815
+0.0496837
+0.0487639
+0.0479267
+0.0471764
+0.0465173
+0.0458049
+0.0450168
+0.0443166
+0.0437139
+0.0432139
+0.0428202
+0.0425359
+0.0423631
+0.0423032
+0.0423566
+0.0425231
+0.0428011
+0.0431768
+0.0434022
+0.0432928
+0.0432322
+0.0432393
+0.0433208
+0.0435067
+0.0437287
+0.0438467
+0.0435809
+0.0434241
+0.0433766
+0.0434194
+0.0435723
+0.0438341
+0.0442032
+0.0446767
+0.0452515
+0.0459237
+0.046689
+0.0475431
+0.0484812
+0.0494985
+0.0505903
+0.0517518
+0.0529785
+0.054266
+0.0556099
+0.0570064
+0.0918765
+0.0904368
+0.0890027
+0.0875998
+0.0862298
+0.0848942
+0.0835939
+0.0823303
+0.0811061
+0.0798685
+0.078551
+0.0772702
+0.0760251
+0.0748235
+0.0736482
+0.0724603
+0.0713188
+0.0702271
+0.0691645
+0.0681123
+0.0670997
+0.0660741
+0.0650492
+0.0640828
+0.0631777
+0.0623364
+0.0615149
+0.0606955
+0.0598869
+0.0590566
+0.0582759
+0.0575573
+0.056914
+0.0559109
+0.054866
+0.0538741
+0.0529362
+0.0520728
+0.051268
+0.0505205
+0.0498574
+0.0492739
+0.0487819
+0.0483684
+0.0480479
+0.0478256
+0.0477031
+0.0476794
+0.0477385
+0.0478978
+0.0481518
+0.0484697
+0.0488838
+0.0487716
+0.0477339
+0.0467758
+0.0459023
+0.0451184
+0.0444287
+0.0438191
+0.0429946
+0.0422638
+0.0416313
+0.041106
+0.040692
+0.0403927
+0.0402106
+0.0401475
+0.0402039
+0.0403791
+0.0406718
+0.0410641
+0.041218
+0.0411081
+0.0410447
+0.0410519
+0.0411377
+0.0413324
+0.04156
+0.0417217
+0.0414422
+0.0412773
+0.0412274
+0.0412725
+0.0414332
+0.0417085
+0.0420962
+0.0425932
+0.0431957
+0.0438993
+0.0446994
+0.0455907
+0.0465682
+0.0476264
+0.0487601
+0.0499642
+0.0512337
+0.0525639
+0.0539503
+0.0553886
+0.0905676
+0.089136
+0.0877031
+0.0862791
+0.0848877
+0.0835307
+0.0822096
+0.0809254
+0.0796797
+0.0784753
+0.0772117
+0.0759113
+0.0746489
+0.0734247
+0.0722462
+0.0710729
+0.0699087
+0.0687946
+0.0677331
+0.0666846
+0.0656657
+0.0646547
+0.0636182
+0.0626298
+0.0617033
+0.0608416
+0.0600475
+0.0592328
+0.0584132
+0.0576133
+0.0568131
+0.0560758
+0.0554153
+0.0545717
+0.0535007
+0.0524933
+0.0515378
+0.0506505
+0.0498227
+0.0490532
+0.04837
+0.0477683
+0.0472606
+0.0468337
+0.0465026
+0.046273
+0.0461463
+0.0461219
+0.0461829
+0.0463476
+0.04661
+0.0469383
+0.0473658
+0.0468862
+0.0458058
+0.0448065
+0.0438938
+0.0430734
+0.0423504
+0.0417301
+0.0409897
+0.0402255
+0.0395605
+0.0390072
+0.0385707
+0.0382548
+0.0380626
+0.0379959
+0.0380554
+0.0382405
+0.0385487
+0.0389599
+0.0390344
+0.0389242
+0.0388576
+0.0388649
+0.0389555
+0.0391541
+0.0393937
+0.0396038
+0.0393093
+0.0391353
+0.0390828
+0.0391303
+0.0392998
+0.03959
+0.0399982
+0.0405209
+0.0411538
+0.0418917
+0.0427294
+0.043661
+0.0446806
+0.0457825
+0.0469608
+0.0482098
+0.0495243
+0.0508992
+0.0523297
+0.0538114
+0.0892925
+0.0878405
+0.0864196
+0.0849943
+0.0835816
+0.082203
+0.0808602
+0.0795551
+0.0782885
+0.0770625
+0.0758798
+0.0745889
+0.0733074
+0.0720653
+0.0708643
+0.0697113
+0.0685397
+0.067403
+0.0663191
+0.0652908
+0.0642583
+0.0632478
+0.0622292
+0.0612206
+0.0602724
+0.05939
+0.0585763
+0.0577843
+0.0569743
+0.0562001
+0.0553984
+0.054642
+0.0539639
+0.0532889
+0.0521916
+0.0511584
+0.0501875
+0.0492846
+0.0484334
+0.0476415
+0.0469377
+0.0463175
+0.0457937
+0.045353
+0.045011
+0.0447737
+0.0446427
+0.0446175
+0.0446806
+0.0448508
+0.0451219
+0.045461
+0.0459022
+0.0450203
+0.0439023
+0.0428587
+0.0419036
+0.0410434
+0.0402841
+0.0396314
+0.0390047
+0.038202
+0.0375032
+0.0369192
+0.0364576
+0.0361233
+0.0359196
+0.035849
+0.035912
+0.0361082
+0.0364312
+0.0368659
+0.0368517
+0.0367409
+0.036671
+0.0366783
+0.0367744
+0.0369766
+0.0372302
+0.0374943
+0.0371831
+0.0369991
+0.0369435
+0.0369939
+0.0371731
+0.0374798
+0.0379107
+0.0384618
+0.0391279
+0.0399034
+0.0407819
+0.041757
+0.042822
+0.0439705
+0.045196
+0.0464925
+0.0478542
+0.0492757
+0.050752
+0.0522784
+0.0880535
+0.0865807
+0.0851388
+0.0837294
+0.082313
+0.0809128
+0.0795482
+0.0782213
+0.0769338
+0.0756866
+0.0744821
+0.0733081
+0.0720038
+0.0707434
+0.0695239
+0.0683484
+0.0672048
+0.0660546
+0.0649483
+0.063898
+0.0628957
+0.0618779
+0.0608746
+0.0598583
+0.0588884
+0.0579849
+0.0571511
+0.05638
+0.0555829
+0.054789
+0.0540354
+0.0532597
+0.0525638
+0.051945
+0.0509431
+0.0498841
+0.0488878
+0.0479709
+0.0470954
+0.0462904
+0.0455658
+0.0449266
+0.0443865
+0.0439316
+0.0435785
+0.0433333
+0.043198
+0.0431719
+0.0432372
+0.043413
+0.043693
+0.0440431
+0.044414
+0.0431812
+0.042026
+0.0409354
+0.0399344
+0.0390308
+0.0382315
+0.0375432
+0.0369721
+0.0361968
+0.035462
+0.0348437
+0.0343543
+0.0339993
+0.0337828
+0.0337077
+0.0337748
+0.0339832
+0.0343227
+0.0347837
+0.03467
+0.0345581
+0.0344849
+0.0344923
+0.0345944
+0.0348008
+0.0350699
+0.0353946
+0.0350648
+0.0348697
+0.0348107
+0.0348642
+0.0350543
+0.0353793
+0.0358355
+0.036418
+0.0371209
+0.0379374
+0.0388604
+0.0398824
+0.0409962
+0.0421944
+0.04347
+0.0448165
+0.0462276
+0.0476976
+0.0492212
+0.0507936
+0.086716
+0.0853586
+0.0838957
+0.0824651
+0.0810684
+0.0796619
+0.0782756
+0.0769267
+0.0756172
+0.0743492
+0.0731234
+0.0719427
+0.0707441
+0.0694608
+0.0682237
+0.0670293
+0.0658821
+0.0647446
+0.0636234
+0.0625508
+0.0615375
+0.0605555
+0.0595307
+0.0585388
+0.0575544
+0.0566296
+0.0557756
+0.0549957
+0.0542221
+0.0534305
+0.0526953
+0.0519277
+0.0512117
+0.0505805
+0.0497597
+0.048675
+0.0476535
+0.0467124
+0.0458128
+0.0449848
+0.0442499
+0.0436005
+0.043042
+0.042569
+0.0422044
+0.0419513
+0.0418115
+0.0417863
+0.0418586
+0.0420402
+0.0423293
+0.0426906
+0.0426614
+0.0413764
+0.0401698
+0.0390404
+0.0379895
+0.0370385
+0.0361952
+0.0354674
+0.0348623
+0.0342143
+0.0334396
+0.0327833
+0.0322626
+0.0318843
+0.0316534
+0.0315732
+0.0316448
+0.0318672
+0.0322251
+0.0327157
+0.0324896
+0.0323758
+0.0322992
+0.0323069
+0.0324158
+0.032627
+0.0329108
+0.0332736
+0.032956
+0.0327483
+0.0326855
+0.0327425
+0.0329449
+0.0332905
+0.0337749
+0.0343924
+0.0351358
+0.0359973
+0.0369688
+0.0380417
+0.0392078
+0.040459
+0.0417876
+0.0431865
+0.0446492
+0.0461695
+0.0477419
+0.0493613
+0.0853999
+0.0840654
+0.0826919
+0.0812401
+0.079822
+0.0784394
+0.0770442
+0.0756734
+0.0743418
+0.0730517
+0.0718052
+0.0706031
+0.0694486
+0.0682245
+0.0669645
+0.0657534
+0.064587
+0.0634712
+0.0623413
+0.0612524
+0.0602173
+0.0592451
+0.0582381
+0.0572549
+0.056269
+0.055328
+0.0544535
+0.0536544
+0.0529047
+0.0521249
+0.051371
+0.0506415
+0.0499071
+0.0492592
+0.0486354
+0.0475362
+0.0464896
+0.0455245
+0.0446009
+0.04375
+0.042994
+0.0423255
+0.0417519
+0.0412713
+0.0408952
+0.0406338
+0.0404895
+0.0404635
+0.0405406
+0.040728
+0.0410317
+0.0410993
+0.0407981
+0.0396104
+0.0383484
+0.0371726
+0.0360727
+0.0350698
+0.034178
+0.0334062
+0.0327631
+0.0322561
+0.0314364
+0.0307408
+0.030185
+0.0297803
+0.0295329
+0.0294469
+0.0295237
+0.0297619
+0.0301408
+0.0305813
+0.0303105
+0.0301943
+0.0301137
+0.0301222
+0.030239
+0.0304556
+0.030753
+0.0311251
+0.0308585
+0.0306367
+0.0305696
+0.0306306
+0.0308468
+0.0312156
+0.0317318
+0.0323882
+0.0331765
+0.0340876
+0.0351119
+0.0362399
+0.0374621
+0.0387697
+0.0401542
+0.0416081
+0.0431243
+0.0446965
+0.0463176
+0.0479702
+0.0841202
+0.0827652
+0.0814465
+0.0800563
+0.0786169
+0.0772127
+0.0758459
+0.0744635
+0.0731098
+0.0717976
+0.0705289
+0.0693063
+0.0681304
+0.067005
+0.0657543
+0.0645205
+0.0633384
+0.0622031
+0.0610993
+0.059997
+0.0589489
+0.0579554
+0.0570005
+0.0559956
+0.0550373
+0.0540814
+0.0531889
+0.0523704
+0.051632
+0.0508762
+0.0501035
+0.0494155
+0.0486661
+0.0480015
+0.0474288
+0.0464681
+0.0454017
+0.0444129
+0.0434658
+0.0425922
+0.0418152
+0.0411277
+0.0405371
+0.0400514
+0.0396637
+0.0393942
+0.0392454
+0.0392185
+0.0392969
+0.0394903
+0.0393769
+0.0389401
+0.0386221
+0.0378595
+0.0365675
+0.0353325
+0.0341889
+0.033129
+0.0321834
+0.0313627
+0.0306767
+0.0301347
+0.0294594
+0.0287203
+0.0281245
+0.0276897
+0.0274235
+0.0273309
+0.0274136
+0.02767
+0.0280727
+0.0284249
+0.0281334
+0.0280106
+0.0279286
+0.0279385
+0.0280644
+0.0282871
+0.0285996
+0.0289829
+0.028775
+0.028537
+0.028465
+0.0285305
+0.0287625
+0.0291577
+0.0297097
+0.0304097
+0.031248
+0.0322137
+0.0332957
+0.0344831
+0.0357654
+0.0371328
+0.0385761
+0.0400873
+0.0416589
+0.0432805
+0.0449376
+0.0466388
+0.0828787
+0.081503
+0.0801636
+0.0788623
+0.077455
+0.0760294
+0.0746409
+0.0732915
+0.0719235
+0.0705892
+0.0692984
+0.0680537
+0.0668577
+0.0657108
+0.0645956
+0.0633393
+0.0621348
+0.0609852
+0.0598846
+0.0587829
+0.0577196
+0.056721
+0.055774
+0.0547949
+0.053838
+0.0528895
+0.051979
+0.0511412
+0.0503848
+0.0496701
+0.0489014
+0.0481967
+0.0474939
+0.0468126
+0.0462252
+0.0454649
+0.0443953
+0.0433836
+0.0424135
+0.0415178
+0.0407203
+0.0400141
+0.0394068
+0.0389135
+0.0385176
+0.03824
+0.0380867
+0.038059
+0.0381386
+0.0378014
+0.0372417
+0.0367847
+0.0364479
+0.036085
+0.0348275
+0.0335346
+0.0323323
+0.0312212
+0.0302161
+0.0293403
+0.0286059
+0.0280238
+0.0275148
+0.0267261
+0.0260852
+0.0256158
+0.0253279
+0.0252275
+0.0253171
+0.0255932
+0.0260247
+0.0262741
+0.0259584
+0.0258254
+0.0257438
+0.025756
+0.025892
+0.0261224
+0.0264522
+0.0268485
+0.0267073
+0.0264506
+0.026374
+0.0264451
+0.0266953
+0.0271207
+0.0277132
+0.0284624
+0.0293563
+0.0303822
+0.0315272
+0.0327787
+0.0341251
+0.0355556
+0.0370604
+0.0386309
+0.0402523
+0.0419146
+0.0436237
+0.0453742
+0.0816393
+0.0802809
+0.0789207
+0.0775986
+0.0763164
+0.0748914
+0.0734814
+0.0721104
+0.0707806
+0.0694289
+0.0681162
+0.0668495
+0.0656314
+0.0644649
+0.0633503
+0.0622128
+0.0609861
+0.0598144
+0.0587011
+0.0576266
+0.0565415
+0.0555217
+0.0545684
+0.0536526
+0.0526792
+0.0517587
+0.0508323
+0.0499752
+0.0492009
+0.0485131
+0.0477693
+0.0470479
+0.0463855
+0.0456978
+0.0450959
+0.0445469
+0.0434557
+0.0424425
+0.0414503
+0.0405333
+0.0397161
+0.0389918
+0.0383684
+0.0378616
+0.037464
+0.0371786
+0.0370208
+0.0369923
+0.0364063
+0.0357058
+0.0351127
+0.0346337
+0.0342757
+0.0340553
+0.0330354
+0.031786
+0.0305148
+0.0293517
+0.0282815
+0.0273439
+0.0265543
+0.0259262
+0.0254713
+0.0247606
+0.0240726
+0.0235631
+0.0232498
+0.0231404
+0.023238
+0.0235335
+0.0240019
+0.0241305
+0.0237864
+0.0236411
+0.0235596
+0.023575
+0.023721
+0.0239624
+0.0243126
+0.0247218
+0.0246505
+0.0243721
+0.024289
+0.0243782
+0.0246494
+0.0251094
+0.0257483
+0.026553
+0.0275091
+0.0286013
+0.0298147
+0.0311351
+0.0325496
+0.0340463
+0.035615
+0.0372355
+0.0389035
+0.0406211
+0.0423824
+0.0441821
+0.0804211
+0.0790555
+0.0777197
+0.0763767
+0.0750737
+0.073801
+0.0723697
+0.0709772
+0.0696258
+0.0683179
+0.0669847
+0.0656962
+0.0644564
+0.0632682
+0.0621344
+0.0610557
+0.0598955
+0.058702
+0.0575673
+0.056485
+0.055425
+0.0543843
+0.0534109
+0.0524976
+0.051585
+0.0506648
+0.049746
+0.0488796
+0.0480876
+0.0473838
+0.0467021
+0.0459748
+0.0453305
+0.0446604
+0.0440467
+0.0435323
+0.0426071
+0.0415742
+0.0405827
+0.0396456
+0.0388097
+0.0380683
+0.0374295
+0.0369098
+0.0365018
+0.0362087
+0.0360467
+0.0352005
+0.034357
+0.033622
+0.0329918
+0.0324879
+0.0321061
+0.0318707
+0.0312941
+0.0299958
+0.0287495
+0.0275125
+0.0263871
+0.0253796
+0.0245268
+0.0238454
+0.0233504
+0.0228362
+0.0220939
+0.0215377
+0.0211944
+0.0210744
+0.0211815
+0.0214995
+0.0220112
+0.0219728
+0.0216182
+0.0214582
+0.0213762
+0.0213959
+0.0215526
+0.0218086
+0.022183
+0.0226012
+0.0226188
+0.0223152
+0.0222243
+0.022335
+0.0226306
+0.0231309
+0.0238228
+0.0246904
+0.0257158
+0.0268809
+0.0281686
+0.0295626
+0.0310488
+0.0326145
+0.0342333
+0.0359071
+0.037634
+0.039407
+0.0412202
+0.0430684
+0.0792355
+0.0778585
+0.0765099
+0.0751989
+0.0738751
+0.0725933
+0.071308
+0.0698944
+0.0685216
+0.0671922
+0.0659067
+0.0645966
+0.0633353
+0.0621256
+0.0609707
+0.0598735
+0.0588349
+0.0576464
+0.0564904
+0.0553869
+0.0543255
+0.0533126
+0.0523196
+0.0513869
+0.0505321
+0.0496115
+0.0487247
+0.0478494
+0.0470502
+0.0463305
+0.0457046
+0.0449768
+0.0443242
+0.0436958
+0.0430834
+0.0425574
+0.0418561
+0.0408042
+0.0398168
+0.0388613
+0.0380081
+0.0372509
+0.0365978
+0.0360661
+0.0356483
+0.0353259
+0.034222
+0.033215
+0.0323253
+0.0315476
+0.0308806
+0.0303486
+0.0299396
+0.0296869
+0.0295219
+0.028237
+0.0269695
+0.0257277
+0.0245339
+0.0234554
+0.0225299
+0.0217862
+0.0212432
+0.0208896
+0.0201572
+0.0195478
+0.0191689
+0.0190362
+0.0191547
+0.0194995
+0.0200623
+0.019816
+0.0194549
+0.019277
+0.0191945
+0.0192195
+0.019389
+0.019661
+0.0200448
+0.0204949
+0.0206198
+0.0202862
+0.0201863
+0.0203224
+0.0206469
+0.021194
+0.0219471
+0.0228859
+0.0239886
+0.0252336
+0.0266011
+0.0280731
+0.029634
+0.0312499
+0.0329295
+0.0346663
+0.036452
+0.0382798
+0.0401439
+0.0420396
+0.0780079
+0.0766964
+0.0753362
+0.0740064
+0.0727184
+0.0714203
+0.070162
+0.0688642
+0.0674705
+0.06612
+0.0648154
+0.0635536
+0.0622712
+0.0610404
+0.0598646
+0.0587469
+0.0576904
+0.0566556
+0.055479
+0.054355
+0.0532731
+0.0522605
+0.0512987
+0.0503471
+0.0494743
+0.0486289
+0.0477484
+0.0468892
+0.0460831
+0.0453587
+0.0447192
+0.0440594
+0.0434041
+0.0428216
+0.0421998
+0.0416646
+0.0412079
+0.0401391
+0.0391587
+0.0381867
+0.0373181
+0.0365466
+0.0358807
+0.0353383
+0.0347491
+0.0334846
+0.0323193
+0.031257
+0.0303099
+0.0294861
+0.0287813
+0.0282128
+0.0277768
+0.0275043
+0.0273342
+0.0265425
+0.0251899
+0.0239615
+0.0227264
+0.0215821
+0.0205725
+0.0197552
+0.0191548
+0.0187705
+0.0182733
+0.0176015
+0.0171797
+0.0170314
+0.0171638
+0.0175451
+0.0181244
+0.0176675
+0.0172986
+0.0170983
+0.0170151
+0.0170468
+0.0172323
+0.017518
+0.017917
+0.0183739
+0.0186638
+0.0182946
+0.0181837
+0.0183358
+0.0187095
+0.0193116
+0.0201352
+0.0211545
+0.0223428
+0.0236746
+0.025127
+0.0266786
+0.0282911
+0.0299764
+0.0317236
+0.0335229
+0.0353664
+0.0372475
+0.0391608
+0.0411018
+0.0768164
+0.0754836
+0.0741805
+0.0728469
+0.0715476
+0.0702825
+0.0690172
+0.0677846
+0.066475
+0.0651038
+0.0637785
+0.0625018
+0.0612669
+0.0600155
+0.0588192
+0.0576813
+0.0566053
+0.0555942
+0.0545369
+0.0533931
+0.0522912
+0.0512593
+0.0503017
+0.0493826
+0.0484925
+0.0476864
+0.0468293
+0.0460134
+0.0451917
+0.0444551
+0.0438024
+0.0432178
+0.0425658
+0.0419971
+0.0414042
+0.0408586
+0.0404244
+0.0395842
+0.0385945
+0.0376277
+0.0367459
+0.0359623
+0.0352854
+0.0344424
+0.0330212
+0.0316878
+0.0304538
+0.0293317
+0.0283205
+0.0274447
+0.0266967
+0.0260828
+0.0256188
+0.0253231
+0.0251471
+0.0249256
+0.0234799
+0.0221569
+0.0209762
+0.019755
+0.018667
+0.0177622
+0.0170919
+0.01667
+0.0164654
+0.0157166
+0.0152427
+0.0150754
+0.0152248
+0.0156534
+0.0160174
+0.0155278
+0.0151522
+0.0149231
+0.014839
+0.0148794
+0.0150854
+0.0153837
+0.0158065
+0.0162615
+0.0166919
+0.016354
+0.0162298
+0.0164
+0.0168342
+0.0175009
+0.0184058
+0.0195157
+0.0207978
+0.0222223
+0.0237573
+0.0253656
+0.0270558
+0.0288135
+0.030627
+0.0324871
+0.0343862
+0.0363181
+0.0382779
+0.0402615
+0.075664
+0.0743105
+0.0729977
+0.0717082
+0.0703959
+0.0691199
+0.0678852
+0.0666438
+0.0654352
+0.0641464
+0.0628008
+0.0615039
+0.0602547
+0.0590542
+0.057838
+0.0566803
+0.055585
+0.0545556
+0.0535509
+0.052505
+0.0513841
+0.0503336
+0.049358
+0.0484619
+0.0475913
+0.0467697
+0.0459961
+0.0451706
+0.0443906
+0.0436404
+0.0429754
+0.0424132
+0.0418254
+0.0412513
+0.0407111
+0.0401561
+0.0397142
+0.0391442
+0.0381431
+0.0371807
+0.0362881
+0.0355037
+0.0343978
+0.0328448
+0.0313512
+0.0299436
+0.0286345
+0.0274381
+0.026363
+0.0254223
+0.0246258
+0.0239637
+0.0234668
+0.0231436
+0.0229607
+0.0229075
+0.0218559
+0.020428
+0.0191448
+0.0180009
+0.0168285
+0.0158216
+0.0150652
+0.014596
+0.0143884
+0.0139214
+0.0133842
+0.0131933
+0.0133638
+0.0138501
+0.0139289
+0.0133956
+0.0130196
+0.0127531
+0.012668
+0.0127199
+0.0129532
+0.0132678
+0.0137128
+0.0141729
+0.0146273
+0.0144848
+0.0143445
+0.0145368
+0.0150432
+0.015787
+0.0167845
+0.0179946
+0.0193776
+0.0208861
+0.0224864
+0.0241793
+0.0259469
+0.0277749
+0.029652
+0.0315696
+0.0335207
+0.0354997
+0.0375023
+0.0395248
+0.0745396
+0.0731841
+0.0718508
+0.0705602
+0.0692863
+0.0679949
+0.0667427
+0.0655398
+0.0643266
+0.0631486
+0.0618853
+0.0605688
+0.0592999
+0.0580834
+0.056924
+0.0557476
+0.0546335
+0.0535856
+0.0526063
+0.0516009
+0.0505557
+0.0494876
+0.048495
+0.0475827
+0.0467552
+0.0459392
+0.0451939
+0.0444145
+0.043669
+0.0429173
+0.0422459
+0.0416738
+0.0411679
+0.0406051
+0.0400827
+0.0395485
+0.0390998
+0.0387698
+0.0378134
+0.0368425
+0.0359414
+0.0346045
+0.0329228
+0.031304
+0.0297489
+0.0282615
+0.0268706
+0.0255919
+0.024443
+0.0234276
+0.0225704
+0.0218587
+0.0213227
+0.0209665
+0.0207752
+0.0207172
+0.0202907
+0.0187957
+0.0173925
+0.0161653
+0.0150532
+0.0139552
+0.0130914
+0.0125547
+0.0123199
+0.0122266
+0.0116418
+0.0114219
+0.0116183
+0.0121746
+0.0118768
+0.0112631
+0.010884
+0.0105917
+0.0105052
+0.0105733
+0.010837
+0.0111806
+0.0116474
+0.0121204
+0.0126054
+0.0127188
+0.0125587
+0.0127779
+0.0133576
+0.0142046
+0.0153056
+0.0166238
+0.01809
+0.0196737
+0.021365
+0.0231401
+0.0249814
+0.0268751
+0.0288109
+0.030781
+0.032779
+0.0348002
+0.0368409
+0.0388978
+0.0734311
+0.0720911
+0.0707531
+0.0694421
+0.0681764
+0.0669172
+0.0656445
+0.0644211
+0.0632499
+0.0620765
+0.0609338
+0.0596994
+0.0584117
+0.0571763
+0.0559993
+0.0548759
+0.0537409
+0.0526725
+0.051675
+0.0507243
+0.0497675
+0.0487255
+0.0477171
+0.0467895
+0.0459478
+0.0451967
+0.044442
+0.0437351
+0.0429795
+0.0422785
+0.0416075
+0.0410382
+0.0405676
+0.0400577
+0.0395378
+0.0390345
+0.0385904
+0.0382561
+0.037601
+0.0366323
+0.0350479
+0.0332832
+0.031531
+0.0298369
+0.0282112
+0.0266535
+0.0251739
+0.0238042
+0.0225644
+0.0214711
+0.02054
+0.0197725
+0.0191867
+0.0187925
+0.0185909
+0.0185268
+0.0186192
+0.017224
+0.0157502
+0.0143836
+0.0132302
+0.0121805
+0.0111986
+0.0105662
+0.010302
+0.0104743
+0.0100562
+0.00980923
+0.0100373
+0.0102151
+0.00985113
+0.00915186
+0.00874232
+0.00844542
+0.00835681
+0.00844857
+0.00874022
+0.00914205
+0.00963739
+0.0101009
+0.0106378
+0.0111014
+0.0109214
+0.0111727
+0.0118313
+0.0128027
+0.0140142
+0.0154098
+0.0169609
+0.0186408
+0.0204178
+0.0222686
+0.0241763
+0.0261284
+0.0281157
+0.0301312
+0.0321697
+0.0342269
+0.0362998
+0.0383857
+0.0723579
+0.0710119
+0.0696943
+0.068376
+0.0670901
+0.0658521
+0.0646015
+0.0633583
+0.0621671
+0.0610313
+0.0599021
+0.0587988
+0.0575932
+0.0563398
+0.055145
+0.0540126
+0.0529203
+0.051835
+0.050821
+0.0498827
+0.0489405
+0.0480512
+0.0469737
+0.0457885
+0.0446794
+0.0436521
+0.0427126
+0.0418667
+0.0411203
+0.0404787
+0.0399394
+0.0394987
+0.0391757
+0.0389733
+0.0388935
+0.0386245
+0.0381893
+0.0378623
+0.0374984
+0.0356605
+0.0338078
+0.0319978
+0.0302248
+0.0284629
+0.0267538
+0.0251196
+0.0235588
+0.0220892
+0.0207472
+0.0195591
+0.0185377
+0.0177077
+0.0170554
+0.0166229
+0.0164082
+0.0163366
+0.0164908
+0.0155587
+0.0141709
+0.0127302
+0.0114226
+0.0103699
+0.00942905
+0.00867558
+0.00837146
+0.00858259
+0.00856777
+0.00839943
+0.00866468
+0.00811937
+0.00768151
+0.00707663
+0.00661584
+0.00630888
+0.00622397
+0.00633346
+0.00664949
+0.00708983
+0.0076674
+0.00815359
+0.00875912
+0.00939422
+0.00950944
+0.00979706
+0.0105362
+0.0115822
+0.0129088
+0.0144043
+0.0160529
+0.0178186
+0.01967
+0.021585
+0.0235482
+0.0255483
+0.0275775
+0.0296296
+0.0317003
+0.0337861
+0.0358845
+0.0379932
+0.0713189
+0.069978
+0.0686473
+0.0673547
+0.0660587
+0.0648009
+0.0635937
+0.0623521
+0.0611437
+0.0599886
+0.0588923
+0.0578086
+0.0567416
+0.0555771
+0.0543656
+0.0532166
+0.0521345
+0.0510778
+0.0500484
+0.0490954
+0.0478313
+0.0464773
+0.045173
+0.0439393
+0.0427823
+0.0417083
+0.040724
+0.0398359
+0.0390506
+0.0383745
+0.0378102
+0.0373445
+0.0370027
+0.0367885
+0.0367039
+0.0367289
+0.0368297
+0.03706
+0.0365249
+0.0345798
+0.0326659
+0.0307889
+0.028956
+0.0271699
+0.025402
+0.0236747
+0.0220299
+0.0204652
+0.0190089
+0.0177045
+0.016583
+0.0156652
+0.0149409
+0.0144597
+0.0142281
+0.0141465
+0.0143081
+0.013872
+0.0125076
+0.0111393
+0.00975927
+0.00855742
+0.00766449
+0.00691234
+0.00660416
+0.00687089
+0.00734872
+0.00727355
+0.00706504
+0.00608383
+0.00552853
+0.00509746
+0.00452463
+0.00420966
+0.00411969
+0.00428384
+0.00461418
+0.00511505
+0.00573072
+0.00636657
+0.00701441
+0.00777469
+0.00838951
+0.00871417
+0.00952043
+0.0106662
+0.0120937
+0.0136787
+0.015405
+0.0172373
+0.019145
+0.0211077
+0.0231114
+0.0251463
+0.0272055
+0.0292825
+0.0313706
+0.0334713
+0.0355828
+0.0377034
+0.0702776
+0.0689449
+0.0676503
+0.0663431
+0.0650739
+0.0638077
+0.0625814
+0.0613956
+0.0601773
+0.0590087
+0.0578939
+0.0568416
+0.0558004
+0.0547819
+0.0536643
+0.0525
+0.0513855
+0.0503378
+0.0491118
+0.0476188
+0.0461561
+0.0447529
+0.0434082
+0.0421229
+0.0409145
+0.0397902
+0.0387571
+0.0378229
+0.0369949
+0.0362805
+0.0356861
+0.0351949
+0.034832
+0.0346043
+0.0345144
+0.0345386
+0.0346458
+0.0348904
+0.0352158
+0.0336074
+0.0316347
+0.0296926
+0.0277874
+0.0259275
+0.0241229
+0.0223513
+0.0206012
+0.018943
+0.0173732
+0.0159354
+0.0146849
+0.0136539
+0.0128518
+0.0123063
+0.0120518
+0.0119567
+0.0121283
+0.0120883
+0.0107994
+0.00947578
+0.00814714
+0.00690106
+0.00588205
+0.00527626
+0.0050314
+0.00540707
+0.00610896
+0.00578251
+0.00528391
+0.00412157
+0.00342365
+0.00314432
+0.00246885
+0.00216681
+0.00209118
+0.00232434
+0.00270163
+0.00336137
+0.0040589
+0.00476367
+0.00551904
+0.00643763
+0.00737419
+0.00807191
+0.00893631
+0.0101482
+0.0116394
+0.0132787
+0.0150511
+0.0169217
+0.0188602
+0.0208419
+0.0228606
+0.0249084
+0.0269786
+0.0290665
+0.0311685
+0.0332819
+0.0354048
+0.0375354
+0.0692785
+0.0679382
+0.0666305
+0.06537
+0.0641018
+0.0628548
+0.0616302
+0.0604392
+0.0592667
+0.0580865
+0.0569622
+0.0558925
+0.0548893
+0.0538955
+0.0527404
+0.0512917
+0.0498971
+0.0485613
+0.0472893
+0.0460403
+0.0445258
+0.0430695
+0.0416775
+0.0403437
+0.0390803
+0.0379016
+0.0368156
+0.0358308
+0.0349557
+0.0341987
+0.0335678
+0.0330507
+0.032664
+0.0324211
+0.0323251
+0.0323484
+0.0324628
+0.0327237
+0.0330531
+0.0327529
+0.0307254
+0.0287218
+0.0267476
+0.0248098
+0.0229175
+0.0210832
+0.0193083
+0.0175364
+0.0158596
+0.0142837
+0.0128738
+0.0117037
+0.0108004
+0.0101682
+0.00988189
+0.0097672
+0.00995328
+0.00990091
+0.00925126
+0.00774722
+0.00648339
+0.00527663
+0.00428455
+0.00375619
+0.00383864
+0.00450407
+0.00432585
+0.00384471
+0.00320045
+0.00230838
+0.00142055
+0.00134125
+0.000604487
+0.000247158
+0.000398573
+0.000653635
+0.0012853
+0.00206525
+0.00288414
+0.00370459
+0.00453958
+0.00556563
+0.0066266
+0.00772689
+0.00881625
+0.0100608
+0.0115536
+0.0131894
+0.0149676
+0.0168433
+0.0187809
+0.0207688
+0.022794
+0.0248473
+0.0269222
+0.0290141
+0.0311197
+0.0332362
+0.0353618
+0.0374949
+0.0682761
+0.0669849
+0.0656614
+0.0643819
+0.0631526
+0.0619254
+0.0607127
+0.0595344
+0.0583828
+0.0572265
+0.0560888
+0.0550139
+0.0539947
+0.0526851
+0.0511416
+0.0496462
+0.048204
+0.0468199
+0.0454992
+0.0442477
+0.0429453
+0.0414335
+0.0399846
+0.0386032
+0.0372846
+0.0360472
+0.0349036
+0.0338632
+0.0329358
+0.0321313
+0.031459
+0.030913
+0.0304992
+0.0302389
+0.030136
+0.0301582
+0.0302808
+0.0305604
+0.0308906
+0.0306089
+0.0299489
+0.0278896
+0.025852
+0.0238415
+0.0218656
+0.0199347
+0.0180631
+0.016268
+0.014485
+0.0127784
+0.0111991
+0.00983508
+0.00878668
+0.00803966
+0.00771319
+0.00757841
+0.00778702
+0.0077145
+0.00740289
+0.00618298
+0.00475481
+0.00364299
+0.00284776
+0.00265159
+0.00290181
+0.00256138
+0.00224562
+0.00171327
+0.00114118
+0.000563615
+-0.000320869
+-0.000298703
+-0.000294427
+-0.000300597
+-8.47299e-05
+0.00036874
+0.00113508
+0.00184592
+0.00261204
+0.00344872
+0.00432685
+0.00539546
+0.00652456
+0.0077221
+0.00903025
+0.0103477
+0.011814
+0.0134357
+0.0151851
+0.0170368
+0.0189547
+0.0209261
+0.0229374
+0.0249789
+0.0270437
+0.0291269
+0.0312249
+0.0333347
+0.0354544
+0.0375822
+0.0672962
+0.0660052
+0.0647444
+0.0634541
+0.0622065
+0.061012
+0.0598303
+0.0586561
+0.0575292
+0.0564217
+0.0552846
+0.0541948
+0.0527917
+0.0511681
+0.0495872
+0.0480442
+0.0465524
+0.0451177
+0.0437457
+0.0424424
+0.0412145
+0.0398508
+0.0383421
+0.0368994
+0.0355317
+0.0342326
+0.0330262
+0.0319246
+0.0309392
+0.0300814
+0.0293622
+0.0287833
+0.0283384
+0.028058
+0.0279471
+0.0279681
+0.0281003
+0.0284014
+0.0287303
+0.028434
+0.0282924
+0.0272088
+0.025116
+0.0230413
+0.0209903
+0.0189705
+0.0169931
+0.0150748
+0.0132412
+0.0114531
+0.00970425
+0.00812483
+0.00684974
+0.0059473
+0.00553609
+0.00539118
+0.00563966
+0.0055305
+0.00533357
+0.00443036
+0.00317058
+0.00203049
+0.00164721
+0.00146814
+0.00113222
+0.000482746
+0.000201777
+-0.000358599
+-0.000834126
+-0.00107385
+-0.00081553
+-0.000644136
+-8.9839e-05
+0.000446061
+0.000989193
+0.00161081
+0.00232412
+0.00292437
+0.00348296
+0.00418175
+0.00494754
+0.00590831
+0.00700636
+0.00819427
+0.00948364
+0.0109197
+0.0123776
+0.0139612
+0.0156663
+0.0174799
+0.0193716
+0.0213086
+0.0232869
+0.0253002
+0.0273408
+0.029403
+0.0314825
+0.0335762
+0.0356815
+0.0377966
+0.0663219
+0.0650649
+0.0638039
+0.0625755
+0.061324
+0.060112
+0.0589565
+0.0578182
+0.0566872
+0.0556196
+0.0545566
+0.0530782
+0.0513703
+0.0497002
+0.048072
+0.0464893
+0.0449469
+0.0434593
+0.0420331
+0.0406751
+0.0393921
+0.0381904
+0.0367569
+0.0352493
+0.0338159
+0.0324641
+0.0311896
+0.0300208
+0.0289707
+0.0280527
+0.0272801
+0.0266626
+0.0261826
+0.0258788
+0.0257585
+0.025778
+0.0259214
+0.0262475
+0.0265751
+0.0262617
+0.0261084
+0.0261383
+0.0245524
+0.0224266
+0.0203145
+0.0182199
+0.0161509
+0.0141186
+0.0121416
+0.0102517
+0.0084584
+0.0066523
+0.00507949
+0.00395781
+0.00337661
+0.00320867
+0.00351694
+0.00335504
+0.00316881
+0.00254628
+0.00151552
+0.000716413
+0.0002187
+-0.000288005
+-0.000981556
+-0.00144876
+-0.00183293
+-0.00235606
+-0.00147913
+-0.000870885
+-0.000221383
+-3.37261e-06
+0.000623285
+0.00183367
+0.00272872
+0.00334649
+0.00401122
+0.00451327
+0.00492336
+0.00554229
+0.00616777
+0.00703311
+0.00798306
+0.00907377
+0.0103183
+0.0116955
+0.0132027
+0.0147423
+0.0164019
+0.0181506
+0.0199789
+0.0218739
+0.0238197
+0.0258034
+0.0278078
+0.0298377
+0.0318889
+0.0339576
+0.0360406
+0.0381358
+0.0654065
+0.0641315
+0.0629071
+0.0616797
+0.0604876
+0.0592794
+0.0581073
+0.0569891
+0.0559037
+0.0548209
+0.0535427
+0.0517575
+0.0500044
+0.0482872
+0.0466096
+0.0449763
+0.0433914
+0.0418498
+0.0403669
+0.0389508
+0.037609
+0.0363498
+0.0351768
+0.033661
+0.0321569
+0.0307354
+0.0294017
+0.0281588
+0.0270364
+0.0260504
+0.0252165
+0.0245502
+0.024033
+0.0237018
+0.0235703
+0.0235881
+0.0237448
+0.0241003
+0.0244261
+0.0240928
+0.0239255
+0.0239582
+0.0240381
+0.0219414
+0.0198544
+0.0177066
+0.0155708
+0.0134526
+0.0113619
+0.00931572
+0.00735262
+0.00550086
+0.00367834
+0.00215736
+0.00131061
+0.0010581
+0.001509
+0.00123197
+0.00104947
+0.000985073
+-0.000284522
+-0.0010846
+-0.00179594
+-0.00231375
+-0.0030697
+-0.0035278
+-0.00339544
+-0.00316915
+-0.00217245
+-0.00119968
+-0.000508947
+0.000661971
+0.00142306
+0.00222636
+0.00303094
+0.00442577
+0.00589593
+0.00638058
+0.00668873
+0.00717466
+0.00775239
+0.00846906
+0.00929256
+0.0103015
+0.0114346
+0.0127616
+0.0142139
+0.0157493
+0.0173397
+0.019025
+0.0208003
+0.0226266
+0.0245127
+0.0264458
+0.0284163
+0.0304169
+0.0324385
+0.0344742
+0.0365278
+0.0385965
+0.0645524
+0.0632603
+0.0620186
+0.0608305
+0.0596409
+0.0584892
+0.0573261
+0.0561888
+0.0551085
+0.0540952
+0.0523212
+0.0504972
+0.0486989
+0.0469339
+0.0452062
+0.0435201
+0.0418808
+0.0402935
+0.0387529
+0.0372755
+0.0358711
+0.0345486
+0.0333178
+0.0321436
+0.0305649
+0.0290656
+0.0276588
+0.0263473
+0.0251442
+0.0240808
+0.0231762
+0.0224496
+0.0218917
+0.0215275
+0.0213827
+0.0213984
+0.0215709
+0.0219617
+0.0222852
+0.0219282
+0.0217443
+0.0217803
+0.0220005
+0.0215139
+0.0193973
+0.0172984
+0.0152196
+0.0131183
+0.010964
+0.00882779
+0.00672664
+0.00470784
+0.0028315
+0.00116755
+0.000117652
+-0.00078427
+0.00015662
+-0.000515888
+-0.000701403
+-0.000980099
+-0.00163938
+-0.00189273
+-0.00295948
+-0.00430405
+-0.00444615
+-0.00441053
+-0.00372713
+-0.00304421
+-0.00255151
+-0.00215677
+-0.00129169
+-0.000342361
+0.000401944
+0.00127457
+0.00215893
+0.00377516
+0.00570597
+0.00776854
+0.00861892
+0.0089925
+0.00947242
+0.0101459
+0.010872
+0.0117716
+0.0128243
+0.0140264
+0.0154177
+0.0169112
+0.0184653
+0.0200796
+0.0217732
+0.023545
+0.0253765
+0.0272484
+0.0291647
+0.0311172
+0.0330996
+0.0351068
+0.0371347
+0.0391745
+0.0637622
+0.0624537
+0.0611957
+0.0599913
+0.0588439
+0.0576964
+0.0565827
+0.0554569
+0.0543688
+0.0530534
+0.051162
+0.0492954
+0.0474565
+0.0456457
+0.0438672
+0.0421276
+0.0404319
+0.0387858
+0.0371956
+0.0356561
+0.0341852
+0.0327949
+0.0314956
+0.0302964
+0.0290509
+0.0274692
+0.025976
+0.0245876
+0.0233044
+0.0221528
+0.0211659
+0.0203678
+0.0197611
+0.0193569
+0.0191957
+0.0192089
+0.0194009
+0.0198345
+0.020155
+0.0197599
+0.0195651
+0.0196051
+0.0198459
+0.020314
+0.0191464
+0.0170173
+0.014906
+0.0128214
+0.0107789
+0.00880795
+0.00672829
+0.00470601
+0.00289703
+0.00145561
+0.000468584
+-0.00146831
+-0.00197556
+-0.00239114
+-0.00246857
+-0.0031198
+-0.00339034
+-0.0032525
+-0.00408876
+-0.00421761
+-0.00434231
+-0.00397075
+-0.00350325
+-0.00289916
+-0.00236465
+-0.00167673
+-0.000999745
+0.000692884
+0.00122179
+0.00181049
+0.00254808
+0.00403697
+0.00592675
+0.00793212
+0.0100121
+0.0109393
+0.0113506
+0.0119458
+0.0125878
+0.013421
+0.0143687
+0.0154968
+0.0167906
+0.0182005
+0.0197266
+0.0212859
+0.0229034
+0.0245977
+0.0263641
+0.0281873
+0.0300544
+0.0319527
+0.0338862
+0.0358494
+0.0378375
+0.0398469
+0.0630002
+0.061708
+0.0604411
+0.0592213
+0.0580587
+0.0569566
+0.0558562
+0.0547757
+0.0537015
+0.0519886
+0.0500677
+0.048163
+0.0462791
+0.0444234
+0.0425989
+0.0408053
+0.0390522
+0.0373453
+0.0356914
+0.0340978
+0.0325596
+0.0310966
+0.0297232
+0.0284524
+0.0272904
+0.0259595
+0.0243741
+0.0228887
+0.021524
+0.0202782
+0.0191952
+0.0183113
+0.0176453
+0.0171914
+0.0170097
+0.0170197
+0.0172361
+0.0177039
+0.0180352
+0.0175968
+0.0173889
+0.0174339
+0.0177
+0.0182209
+0.0188918
+0.0167952
+0.0147132
+0.0126545
+0.0105803
+0.00856383
+0.00661256
+0.00469274
+0.00294829
+0.00142726
+-0.000508334
+-0.00229876
+-0.00304431
+-0.00402588
+-0.0045376
+-0.00514881
+-0.00526901
+-0.00513504
+-0.00444413
+-0.00411353
+-0.00412154
+-0.00361606
+-0.0031966
+-0.00252247
+-0.00224919
+-0.00198523
+-0.00173117
+-0.000468075
+0.000548802
+0.00156591
+0.00264386
+0.00426565
+0.00623279
+0.0083042
+0.0104088
+0.0125428
+0.0132949
+0.0138563
+0.0144327
+0.0151745
+0.0160525
+0.0170928
+0.0183012
+0.0196492
+0.0210715
+0.0226161
+0.0241746
+0.0257899
+0.0274809
+0.0292383
+0.0310486
+0.032904
+0.0347932
+0.0367079
+0.0386519
+0.040621
+0.0622849
+0.0609904
+0.0597349
+0.0585232
+0.0573464
+0.0562304
+0.0551787
+0.0541308
+0.0529701
+0.0509921
+0.0490322
+0.0470926
+0.0451754
+0.0432744
+0.0414
+0.039558
+0.0377492
+0.0359806
+0.0342608
+0.0325976
+0.0309999
+0.0294634
+0.02801
+0.0266576
+0.0254224
+0.0243075
+0.02287
+0.0212799
+0.0198047
+0.0184704
+0.0172769
+0.0162892
+0.0155472
+0.0150331
+0.014825
+0.0148309
+0.0150787
+0.0155824
+0.0159249
+0.0154415
+0.0152168
+0.0152621
+0.015564
+0.0161537
+0.016963
+0.0166131
+0.0145015
+0.0124003
+0.0103331
+0.00832938
+0.00640634
+0.00443849
+0.00252287
+0.000749852
+-0.000433128
+-0.00124411
+-0.00246842
+-0.00385828
+-0.00528177
+-0.00675888
+-0.00610745
+-0.0055022
+-0.00475272
+-0.00401923
+-0.00365055
+-0.0033152
+-0.00306231
+-0.00244145
+-0.00186062
+-0.00125222
+-0.000246194
+-0.00024445
+0.000155177
+0.00081892
+0.00203379
+0.00384373
+0.00591248
+0.00804603
+0.0102038
+0.0123732
+0.014549
+0.0158395
+0.0163631
+0.0170183
+0.0178447
+0.0187982
+0.0199249
+0.0211825
+0.0225494
+0.023999
+0.0255452
+0.027107
+0.0287205
+0.0304064
+0.0321531
+0.0339514
+0.0357905
+0.0376671
+0.0395709
+0.0414964
+0.0615562
+0.0603023
+0.0590625
+0.0578461
+0.0566883
+0.0555811
+0.0545169
+0.0535213
+0.0520847
+0.0500717
+0.0480743
+0.0460944
+0.0441344
+0.0421972
+0.0402834
+0.0383884
+0.036526
+0.0347007
+0.0329141
+0.031179
+0.0295047
+0.027902
+0.0263676
+0.0249263
+0.0236006
+0.0224056
+0.0213575
+0.0197831
+0.018187
+0.016726
+0.0154285
+0.0143139
+0.013466
+0.0128859
+0.0126424
+0.0126428
+0.0129326
+0.0134831
+0.0138396
+0.0132977
+0.0130498
+0.0130947
+0.0134454
+0.0141108
+0.0150255
+0.0161434
+0.0144264
+0.0123501
+0.0103053
+0.00830183
+0.00641171
+0.00450628
+0.00278381
+0.00157616
+4.11913e-06
+-0.00103392
+-0.00270502
+-0.00407882
+-0.00559122
+-0.00681148
+-0.00593199
+-0.00521367
+-0.00423744
+-0.00334716
+-0.00276951
+-0.002973
+-0.00233894
+-0.0018022
+-0.00171551
+-0.00153372
+0.000480126
+0.00181737
+0.0017464
+0.00192267
+0.00277236
+0.00435125
+0.00628263
+0.00834311
+0.0104567
+0.0125884
+0.0147324
+0.0168884
+0.018337
+0.018936
+0.0197123
+0.0205957
+0.0216289
+0.0228233
+0.0240997
+0.0254954
+0.0269576
+0.0285079
+0.0300687
+0.0316831
+0.033363
+0.0350994
+0.0368841
+0.0387097
+0.0405696
+0.042461
+0.0608893
+0.0596222
+0.0584089
+0.0572339
+0.0560634
+0.0549554
+0.0539137
+0.0529295
+0.0512776
+0.0492316
+0.0471987
+0.0451804
+0.043179
+0.0411969
+0.0392369
+0.0373026
+0.0353919
+0.0335061
+0.0316596
+0.029854
+0.0281008
+0.0264131
+0.0248041
+0.0232725
+0.0218467
+0.0205558
+0.0194138
+0.0184258
+0.0167004
+0.0150963
+0.0136561
+0.0124085
+0.0114201
+0.0107562
+0.0104633
+0.0104557
+0.0108044
+0.0114094
+0.0117925
+0.0111722
+0.0108826
+0.0109366
+0.0113541
+0.0121134
+0.0131339
+0.0143837
+0.0145326
+0.0125104
+0.0105491
+0.0086335
+0.00677698
+0.00514905
+0.00315011
+0.00147544
+-4.03501e-05
+-0.00143455
+-0.00268427
+-0.00425639
+-0.0056487
+-0.00618637
+-0.00520344
+-0.00448952
+-0.00380756
+-0.00291145
+-0.00216485
+-0.00165564
+-0.00213639
+-0.000786863
+0.000125444
+5.50884e-06
+-0.000750202
+0.000103764
+0.00174535
+0.00382707
+0.00436594
+0.00560957
+0.00725153
+0.0090951
+0.011066
+0.0131068
+0.0151894
+0.0172988
+0.0194262
+0.0209029
+0.021613
+0.0224546
+0.023414
+0.0245243
+0.0257411
+0.0270572
+0.028467
+0.0299403
+0.0314901
+0.0330544
+0.0346693
+0.0363433
+0.0380697
+0.0398419
+0.0416539
+0.0434991
+0.0602465
+0.0590068
+0.0577886
+0.0566217
+0.0555158
+0.0543989
+0.0533463
+0.0523642
+0.0505475
+0.0484739
+0.04641
+0.0443559
+0.0423155
+0.0402909
+0.0382846
+0.0362996
+0.0343397
+0.0324092
+0.0305019
+0.0286293
+0.0268027
+0.0250275
+0.0233232
+0.0217062
+0.0201783
+0.0187731
+0.0175285
+0.0164614
+0.0153735
+0.0136247
+0.0120093
+0.0106025
+0.00943904
+0.0086569
+0.00829021
+0.00827057
+0.0086747
+0.00937603
+0.00980758
+0.00907022
+0.00872708
+0.00879457
+0.00930866
+0.0101773
+0.0113304
+0.0127581
+0.0143488
+0.0129647
+0.0110744
+0.00926797
+0.00749042
+0.00530091
+0.0031114
+0.000923293
+-0.000434729
+-0.00143516
+-0.00272132
+-0.00402817
+-0.00422663
+-0.00402244
+-0.00366348
+-0.00324547
+-0.00281319
+-0.00257665
+-0.00226342
+-0.00105039
+-8.19711e-05
+-0.000406866
+0.00110134
+0.00198385
+0.0011379
+0.000530539
+0.00175347
+0.00381294
+0.00595927
+0.00724846
+0.00862817
+0.010268
+0.0120485
+0.0139463
+0.0159195
+0.0179432
+0.0200022
+0.0220865
+0.0235642
+0.0243671
+0.025263
+0.0262954
+0.0274591
+0.0286966
+0.0300431
+0.0314592
+0.0329444
+0.0344904
+0.036058
+0.0376736
+0.0393417
+0.041059
+0.0428195
+0.0446181
+0.0596025
+0.0584152
+0.0572302
+0.056059
+0.0549502
+0.0539002
+0.0528637
+0.0518725
+0.049896
+0.0477977
+0.0457056
+0.0436219
+0.0415492
+0.0394859
+0.0374364
+0.0354039
+0.0333914
+0.0314028
+0.0294429
+0.0275162
+0.0256152
+0.0237614
+0.0219612
+0.0202357
+0.0186084
+0.0170856
+0.0157092
+0.0145234
+0.0135741
+0.0123352
+0.0105621
+0.00893009
+0.00757439
+0.00658912
+0.00612859
+0.00608945
+0.00655948
+0.00743263
+0.00788701
+0.0069999
+0.00658896
+0.00668418
+0.00729259
+0.00831035
+0.00968783
+0.0112826
+0.0130187
+0.0137523
+0.0117238
+0.00959729
+0.00750784
+0.00549777
+0.00345856
+0.00142938
+-0.000711594
+-0.00190446
+-0.00188855
+-0.00214076
+-0.00213166
+-0.00186852
+-0.00151106
+-0.00121855
+-0.00066081
+-0.000462598
+-0.000470376
+-0.0011566
+-8.54348e-05
+0.000541101
+0.00184653
+0.00298974
+0.00315873
+0.0026541
+0.00329622
+0.00475034
+0.00660984
+0.00861758
+0.0102526
+0.0116884
+0.013322
+0.0150602
+0.0169038
+0.018822
+0.0207942
+0.0228062
+0.0248485
+0.0263175
+0.0271556
+0.0281256
+0.0292211
+0.0304055
+0.0316794
+0.0330496
+0.0344701
+0.0359644
+0.0375066
+0.039076
+0.0406919
+0.0423388
+0.0434474
+0.044636
+0.0590325
+0.0578335
+0.0566939
+0.0555696
+0.0544509
+0.0533986
+0.0523987
+0.0514559
+0.0493267
+0.0472031
+0.045086
+0.0429762
+0.0408749
+0.0387816
+0.0366971
+0.0346239
+0.0325632
+0.0305206
+0.0285001
+0.0265066
+0.0245467
+0.0226234
+0.0207341
+0.0189052
+0.0171522
+0.0155108
+0.0139951
+0.0126611
+0.0115674
+0.0108042
+0.00933643
+0.00752793
+0.0058708
+0.00461417
+0.0039641
+0.003919
+0.00449137
+0.00556372
+0.00604152
+0.00501922
+0.00449417
+0.0046299
+0.00537982
+0.00664352
+0.00824032
+0.0100246
+0.0119449
+0.0139331
+0.0120747
+0.00993975
+0.00782796
+0.005723
+0.00369109
+0.00176353
+-0.000152111
+4.35944e-05
+0.000181321
+-5.38256e-05
+6.61192e-06
+0.000285415
+0.00064494
+0.000838324
+0.00133296
+0.00113284
+0.000791585
+-0.000127511
+-0.000286745
+0.00067285
+0.00142037
+0.00335641
+0.00469329
+0.0048142
+0.00520674
+0.00631236
+0.00781781
+0.00959108
+0.0114982
+0.0132999
+0.0147645
+0.0163918
+0.018101
+0.0199042
+0.0217785
+0.0237072
+0.0256779
+0.0276817
+0.029089
+0.0300042
+0.0310334
+0.0321729
+0.0333794
+0.0346824
+0.0360645
+0.0374952
+0.0389333
+0.0397759
+0.0407188
+0.0417555
+0.0428637
+0.0440326
+0.0585389
+0.0573297
+0.0561798
+0.0550931
+0.0540257
+0.0529624
+0.0519672
+0.0506605
+0.0486293
+0.0466127
+0.044563
+0.0424272
+0.0402973
+0.0381742
+0.0360593
+0.033954
+0.0318592
+0.0297736
+0.0276989
+0.0256431
+0.0236117
+0.0216114
+0.0196518
+0.0177312
+0.0158637
+0.014075
+0.0124133
+0.0109081
+0.00964115
+0.00871082
+0.0082147
+0.00640805
+0.00449883
+0.00287452
+0.0018552
+0.00177727
+0.00254208
+0.0038461
+0.00425643
+0.00312998
+0.00249367
+0.00270938
+0.00368683
+0.00526352
+0.00712011
+0.00909519
+0.0111404
+0.0132323
+0.0124587
+0.0103253
+0.00821086
+0.00615005
+0.00414316
+0.00227238
+0.00089724
+0.00155462
+0.00227108
+0.00206885
+0.00213685
+0.00244449
+0.00280438
+0.00300187
+0.00293121
+0.00252911
+0.00236658
+0.00155721
+0.00106988
+0.00223148
+0.0025307
+0.00404539
+0.0058874
+0.00699335
+0.00726916
+0.00814694
+0.00938065
+0.0109026
+0.0126228
+0.014366
+0.0161501
+0.0178482
+0.0194642
+0.0211585
+0.0229306
+0.0247697
+0.026662
+0.0285969
+0.0305664
+0.0319161
+0.0328919
+0.0339749
+0.0351338
+0.036374
+0.0370323
+0.0376708
+0.0383936
+0.0392256
+0.0401599
+0.0411892
+0.0422913
+0.0434755
+0.058099
+0.056905
+0.0557472
+0.0546519
+0.0536237
+0.0526028
+0.0516097
+0.049902
+0.0478387
+0.0457872
+0.0437492
+0.0417267
+0.039722
+0.0376827
+0.0355385
+0.0334004
+0.0312695
+0.0291475
+0.0270365
+0.0249387
+0.0228491
+0.0207755
+0.0187286
+0.0167182
+0.0147586
+0.012843
+0.0110095
+0.00931628
+0.00782769
+0.00668006
+0.00605475
+0.00573838
+0.00360154
+0.00152821
+-0.000134431
+-0.000326647
+0.000781307
+0.00247198
+0.00282282
+0.00131394
+0.000664214
+0.00102043
+0.00244177
+0.00435479
+0.00640396
+0.00852348
+0.0106718
+0.0128264
+0.0129708
+0.0109249
+0.00891611
+0.00697723
+0.00514174
+0.00360391
+0.00282957
+0.00328141
+0.00437393
+0.00420741
+0.00430907
+0.00460432
+0.00496519
+0.0048934
+0.00451167
+0.00424412
+0.00417581
+0.00349407
+0.00316505
+0.00388042
+0.00444283
+0.00549109
+0.00702524
+0.00847767
+0.00882088
+0.0094055
+0.0103864
+0.0116717
+0.013121
+0.0147432
+0.0164974
+0.0183093
+0.0201104
+0.0219823
+0.0237826
+0.0256011
+0.0274542
+0.0293539
+0.0312916
+0.0332608
+0.0347889
+0.0353969
+0.0356612
+0.0360327
+0.0365317
+0.0371476
+0.0378804
+0.0387234
+0.0396696
+0.0407018
+0.0418164
+0.0429982
+0.0577039
+0.0565136
+0.0553721
+0.0542951
+0.0532605
+0.0522857
+0.0513092
+0.0492294
+0.0471367
+0.0450532
+0.0429804
+0.0409199
+0.0388736
+0.036844
+0.0348339
+0.0328468
+0.0308236
+0.0286686
+0.0265195
+0.0243778
+0.0222456
+0.020126
+0.0180201
+0.0159269
+0.0138565
+0.0118294
+0.0098662
+0.00796769
+0.00622033
+0.00476677
+0.00392592
+0.00387824
+0.00318819
+0.00108974
+-0.000820216
+-0.00212692
+-0.000476162
+0.00157975
+0.00184171
+3.56291e-07
+-0.000945046
+-1.07644e-05
+0.00188412
+0.00396686
+0.00609774
+0.00825987
+0.0104339
+0.0126137
+0.0137633
+0.0118238
+0.00994768
+0.00816314
+0.00659889
+0.00546145
+0.00493572
+0.00525661
+0.00615721
+0.00635656
+0.00648445
+0.00678036
+0.00675891
+0.00650962
+0.0063323
+0.0061592
+0.00604657
+0.00555585
+0.00531702
+0.00581203
+0.00652751
+0.00728161
+0.0081181
+0.00901061
+0.00977308
+0.0103301
+0.0111743
+0.0123298
+0.0137398
+0.0153342
+0.0170614
+0.0188629
+0.0206157
+0.0224455
+0.0242452
+0.0261006
+0.0279263
+0.0297959
+0.0317066
+0.0336515
+0.0348962
+0.0350026
+0.0352452
+0.0356211
+0.0361251
+0.0367478
+0.0374884
+0.03834
+0.0392689
+0.0402635
+0.0413504
+0.0425225
+0.0573673
+0.0561929
+0.0550518
+0.0539684
+0.0529535
+0.0519819
+0.0507535
+0.0486318
+0.0465165
+0.0444085
+0.0423088
+0.0402164
+0.0381324
+0.0360611
+0.0340047
+0.0319662
+0.0299491
+0.0279582
+0.0259995
+0.0240038
+0.0218352
+0.0196714
+0.0175143
+0.0153668
+0.0132323
+0.0111101
+0.00901297
+0.00695363
+0.00497572
+0.00312804
+0.00181289
+0.00177059
+0.00233529
+0.00155295
+-0.0003519
+-0.0014606
+-0.000265054
+0.0016894
+0.00151925
+-0.000632696
+-0.00181888
+2.38967e-06
+0.00199785
+0.00407223
+0.00621409
+0.00838123
+0.0105532
+0.0127115
+0.0147984
+0.0129628
+0.0112264
+0.00965915
+0.00836707
+0.00746079
+0.007085
+0.00735489
+0.0080652
+0.00852106
+0.00866623
+0.0087033
+0.00850453
+0.0083261
+0.00827841
+0.00813439
+0.00803991
+0.00767624
+0.00749147
+0.00788034
+0.00779652
+0.0078582
+0.00820309
+0.00903678
+0.0102059
+0.0108866
+0.0117671
+0.0129413
+0.0143558
+0.0158122
+0.0173858
+0.0190814
+0.0208693
+0.0227095
+0.0246055
+0.0265435
+0.0284633
+0.0303897
+0.0322653
+0.0341784
+0.0346099
+0.0347173
+0.0349618
+0.0353407
+0.0358479
+0.0364604
+0.0371691
+0.0379665
+0.0388711
+0.0398756
+0.040961
+0.0420945
+0.0570497
+0.0558998
+0.0548055
+0.0537172
+0.0526974
+0.0517504
+0.0502651
+0.0481219
+0.0459831
+0.0438494
+0.0417217
+0.0396009
+0.037488
+0.0353847
+0.0332926
+0.031214
+0.0291457
+0.0270958
+0.0250698
+0.0230717
+0.0211081
+0.0191937
+0.0172612
+0.0150827
+0.0129083
+0.0107336
+0.0085668
+0.00640726
+0.00425554
+0.00212696
+8.75643e-05
+-0.000141878
+0.000989038
+0.00162097
+0.00113511
+0.000216272
+0.00064485
+0.00188252
+0.00156507
+-0.000405585
+-0.000713268
+0.000576348
+0.00263271
+0.00470049
+0.00677104
+0.00885789
+0.0109403
+0.0130582
+0.0151968
+0.0143047
+0.0127377
+0.0113737
+0.010299
+0.00954451
+0.00925373
+0.00947436
+0.00999482
+0.0106962
+0.0106331
+0.0105373
+0.0103721
+0.0102894
+0.0103179
+0.010198
+0.0101066
+0.00962135
+0.00865026
+0.00812674
+0.00797352
+0.00803126
+0.00847304
+0.00930319
+0.0105311
+0.0115646
+0.0123756
+0.013497
+0.0148586
+0.0162992
+0.0178299
+0.0194869
+0.0212407
+0.0230513
+0.0249213
+0.0268364
+0.0287367
+0.0306657
+0.0326277
+0.0343436
+0.0343122
+0.0344205
+0.034655
+0.0350109
+0.0354987
+0.036113
+0.0368149
+0.0375892
+0.0384728
+0.0394444
+0.0405019
+0.0416479
+0.0568148
+0.0556601
+0.0545689
+0.0535451
+0.0525315
+0.0515815
+0.0498682
+0.0477072
+0.0455489
+0.043394
+0.0412427
+0.0390959
+0.0369542
+0.0348186
+0.0326903
+0.0305708
+0.0284622
+0.0263668
+0.0242883
+0.0222314
+0.0201908
+0.0181801
+0.0162161
+0.014318
+0.0125159
+0.0107055
+0.00854058
+0.00639324
+0.00427323
+0.00219771
+0.000272511
+-0.000502202
+0.000613057
+0.00146111
+0.00275573
+0.00150096
+0.000961541
+0.00156227
+0.00114512
+-0.000233442
+0.000231237
+0.00145523
+0.00331917
+0.00537415
+0.00750612
+0.00956226
+0.0115924
+0.0136721
+0.0157571
+0.0158239
+0.014419
+0.0132295
+0.0122961
+0.0116675
+0.0114308
+0.011587
+0.0119708
+0.0126909
+0.0125248
+0.0124435
+0.012341
+0.0123295
+0.0124091
+0.0113663
+0.0104078
+0.00978906
+0.00913007
+0.0085254
+0.00818163
+0.00817169
+0.00852059
+0.00934928
+0.0105656
+0.0119444
+0.0128771
+0.0140096
+0.0153258
+0.0167877
+0.0183788
+0.0200832
+0.0218267
+0.0235924
+0.0254226
+0.0273026
+0.0291725
+0.0310744
+0.0330122
+0.0340884
+0.0340568
+0.034166
+0.0344145
+0.0347871
+0.0352583
+0.0357996
+0.0364648
+0.037242
+0.0381093
+0.0390802
+0.0401474
+0.0412995
+0.0566638
+0.0555059
+0.0544115
+0.0533847
+0.0524102
+0.0515006
+0.0495651
+0.0473902
+0.0452169
+0.0430453
+0.0408757
+0.0387085
+0.0365441
+0.0343831
+0.032226
+0.0300739
+0.0279277
+0.0257889
+0.0236597
+0.0215429
+0.0194424
+0.0173642
+0.0153173
+0.0132937
+0.0113298
+0.00946595
+0.00777446
+0.00628759
+0.00501551
+0.00327543
+0.00188928
+0.00156804
+0.00156704
+0.00202323
+0.00291485
+0.00208186
+0.000588774
+-3.71272e-05
+-0.000444828
+-0.000101332
+0.000901992
+0.00220049
+0.0040299
+0.0060471
+0.00814689
+0.0101921
+0.012278
+0.014388
+0.0164593
+0.0174829
+0.0162224
+0.0151749
+0.0143466
+0.0138116
+0.0136123
+0.0136717
+0.0140107
+0.0146308
+0.0145008
+0.0144307
+0.0143743
+0.0133978
+0.0120416
+0.010959
+0.0101363
+0.00947748
+0.00918526
+0.00852309
+0.00820388
+0.00820256
+0.00862916
+0.00947084
+0.0106795
+0.0121658
+0.0132788
+0.0144145
+0.0157586
+0.0172755
+0.0188656
+0.0205296
+0.0222848
+0.0240946
+0.0259493
+0.0278519
+0.0297636
+0.03163
+0.0335356
+0.0339729
+0.0339412
+0.0340508
+0.0342965
+0.0345755
+0.0349897
+0.0355175
+0.0361613
+0.0369242
+0.0377987
+0.0387775
+0.0398457
+0.041001
+0.0565762
+0.055417
+0.0543209
+0.0532924
+0.0523354
+0.0514273
+0.0493575
+0.047173
+0.0449892
+0.042806
+0.0406237
+0.0384423
+0.036262
+0.034083
+0.0319057
+0.0297304
+0.0275574
+0.0253875
+0.0232216
+0.0210607
+0.0189067
+0.0167622
+0.0146314
+0.0125213
+0.0104445
+0.0084214
+0.00646204
+0.00470661
+0.00331041
+0.00260483
+0.00291806
+0.00333906
+0.00311968
+0.00345308
+0.00274044
+0.0019031
+0.000304382
+-0.000562067
+-0.00113862
+-1.2149e-05
+0.00146685
+0.00288694
+0.00463741
+0.0066175
+0.00869899
+0.0107842
+0.0128657
+0.0147802
+0.0167194
+0.0187036
+0.0181113
+0.0171673
+0.0164333
+0.0159684
+0.0157719
+0.0157852
+0.0160903
+0.0166331
+0.016531
+0.0154241
+0.0138912
+0.0125042
+0.0113703
+0.0103353
+0.00953278
+0.00912751
+0.00911722
+0.0089734
+0.00868096
+0.00871226
+0.00912777
+0.00997711
+0.0111468
+0.0125779
+0.0138224
+0.0149184
+0.0162376
+0.0177301
+0.0193411
+0.0210557
+0.0228518
+0.0246266
+0.0264431
+0.0283125
+0.0302252
+0.0321733
+0.0340715
+0.0338986
+0.0338669
+0.0339361
+0.0340775
+0.0343583
+0.0347751
+0.035306
+0.0359537
+0.0367209
+0.0375924
+0.0385209
+0.039543
+0.0406574
+0.0565123
+0.0553933
+0.0543057
+0.0532768
+0.0523195
+0.0514362
+0.0492465
+0.0470569
+0.0448674
+0.042678
+0.0404887
+0.0382997
+0.0361108
+0.0339221
+0.0317338
+0.0295457
+0.0273581
+0.0251711
+0.0229847
+0.0207993
+0.018615
+0.0164325
+0.0142525
+0.0120764
+0.00990672
+0.00774884
+0.00561642
+0.00355449
+0.0016736
+0.000603182
+0.00134417
+0.00197974
+0.00318604
+0.00326401
+0.00191962
+0.00132164
+0.000736226
+-0.000368112
+-0.00109706
+7.0453e-05
+0.00171874
+0.00343435
+0.00507618
+0.00648264
+0.00810314
+0.00990927
+0.0118368
+0.0138275
+0.0158709
+0.0179492
+0.020047
+0.0191975
+0.018544
+0.0181333
+0.0179055
+0.0179173
+0.018194
+0.0182275
+0.01638
+0.0146275
+0.0130086
+0.0115144
+0.0102711
+0.00937592
+0.00889725
+0.00884316
+0.00881752
+0.00907465
+0.00894046
+0.00920717
+0.00961229
+0.0104406
+0.0115836
+0.0129666
+0.0145494
+0.0157127
+0.0169703
+0.0184035
+0.0199602
+0.0216258
+0.0233781
+0.0251991
+0.027075
+0.0289321
+0.0308063
+0.0327199
+0.0340577
+0.0338682
+0.0337815
+0.0338367
+0.0339812
+0.0342499
+0.0346412
+0.0351648
+0.0358038
+0.0365089
+0.0373293
+0.0382577
+0.0392865
+0.0404079
+0.0564646
+0.0554031
+0.0543409
+0.0533476
+0.0523953
+0.0514231
+0.0492328
+0.0470426
+0.0448524
+0.0426622
+0.0404721
+0.0382821
+0.0360921
+0.0339023
+0.0317126
+0.029523
+0.0273335
+0.0251443
+0.0229554
+0.0207669
+0.0185789
+0.0163915
+0.0142053
+0.0120182
+0.00983171
+0.00764755
+0.00546862
+0.00330205
+0.00116734
+-0.000542304
+0.000650417
+0.00156595
+0.00280097
+0.00293441
+0.00174386
+0.000918674
+0.0012023
+0.00020779
+-0.000698734
+0.000397188
+0.00120741
+0.00205805
+0.00342009
+0.00507571
+0.00697666
+0.0089759
+0.0110445
+0.013142
+0.0152607
+0.0173963
+0.0195441
+0.0212596
+0.0206714
+0.020279
+0.0200515
+0.020062
+0.0194702
+0.0176499
+0.015921
+0.0141288
+0.0124298
+0.0108709
+0.00954426
+0.00857713
+0.00803417
+0.00802571
+0.00856789
+0.00930444
+0.00924436
+0.00951381
+0.0100167
+0.0108141
+0.0119111
+0.01326
+0.0148114
+0.0164021
+0.0177
+0.0191591
+0.0207376
+0.0223454
+0.0240454
+0.0258195
+0.0276382
+0.0294701
+0.0313481
+0.0332643
+0.0339932
+0.0337659
+0.033679
+0.0337344
+0.0339068
+0.034176
+0.0345681
+0.0350569
+0.0356312
+0.0363286
+0.0371423
+0.0380648
+0.0390884
+0.0402014
+0.056373
+0.0553756
+0.0544339
+0.0534423
+0.0525234
+0.0514985
+0.0493108
+0.0471233
+0.0449362
+0.0427494
+0.040563
+0.0383772
+0.0361919
+0.0340073
+0.0318236
+0.0296408
+0.0274594
+0.0252795
+0.0231017
+0.0209266
+0.0187551
+0.0165887
+0.0144295
+0.0122816
+0.0101519
+0.00805509
+0.00602538
+0.00410612
+0.0025116
+0.00151272
+0.00193653
+0.00221108
+0.00313204
+0.00303475
+0.0020365
+0.000853267
+0.000427338
+0.000756021
+-0.000372663
+-0.000900345
+-0.000837676
+0.00039177
+0.00213868
+0.00416011
+0.00626084
+0.00840762
+0.0105721
+0.0127437
+0.014919
+0.0170974
+0.0192785
+0.0214616
+0.0228107
+0.0224119
+0.0216794
+0.0202779
+0.0188043
+0.0169251
+0.0151158
+0.0134163
+0.01187
+0.0105105
+0.00920316
+0.008199
+0.00761263
+0.0076037
+0.00817392
+0.00912689
+0.00929059
+0.00930624
+0.00977118
+0.0106729
+0.0118485
+0.0132816
+0.0149
+0.0166438
+0.0183028
+0.0197529
+0.021244
+0.0228162
+0.0244835
+0.026228
+0.0280352
+0.0298937
+0.0317945
+0.0337305
+0.0340137
+0.0337857
+0.0336792
+0.0336808
+0.0337825
+0.0340253
+0.0343834
+0.0348563
+0.0354339
+0.0361351
+0.036953
+0.0378802
+0.0389087
+0.0400266
+0.0563606
+0.055369
+0.0544414
+0.0535796
+0.0527049
+0.0516536
+0.0494727
+0.0472928
+0.0451138
+0.0429361
+0.0407598
+0.038585
+0.0364122
+0.0342417
+0.0320739
+0.0299095
+0.0277492
+0.025594
+0.0234454
+0.0213054
+0.0191768
+0.017064
+0.0149736
+0.0129165
+0.0109114
+0.00896562
+0.00715684
+0.00559564
+0.0043374
+0.00366904
+0.00359651
+0.0035267
+0.00417306
+0.00386342
+0.00258993
+0.00129794
+0.00031512
+0.000315582
+-0.000435723
+-0.00195406
+-0.00242724
+-0.000330714
+0.00178781
+0.00395668
+0.00611658
+0.00829072
+0.0104718
+0.0126561
+0.0148424
+0.0170297
+0.0192179
+0.0214065
+0.0235956
+0.0223704
+0.0207884
+0.0193245
+0.017926
+0.0162739
+0.0145354
+0.0127506
+0.011112
+0.00966162
+0.00847601
+0.00772465
+0.00747861
+0.00779863
+0.0082358
+0.00880825
+0.00931276
+0.00940944
+0.00986952
+0.0107645
+0.0119681
+0.0133941
+0.0150005
+0.0167338
+0.018564
+0.0202144
+0.0217682
+0.0234241
+0.0251058
+0.0268098
+0.0285802
+0.0304054
+0.0322762
+0.0341849
+0.033989
+0.0337333
+0.0336187
+0.0336151
+0.033717
+0.0339602
+0.034319
+0.0347928
+0.0353714
+0.0360713
+0.0368655
+0.0377702
+0.0387777
+0.0398733
+0.0563029
+0.0554199
+0.0545027
+0.0536452
+0.0528529
+0.0519008
+0.0497307
+0.0475626
+0.0453966
+0.0432331
+0.0410725
+0.0389153
+0.036762
+0.0346134
+0.0324705
+0.0303344
+0.0282066
+0.0260892
+0.0239851
+0.0218979
+0.019833
+0.0177982
+0.0158052
+0.0138523
+0.0119804
+0.0102357
+0.00867439
+0.0073298
+0.00634444
+0.00581984
+0.00538065
+0.00531156
+0.00580742
+0.00510589
+0.00369701
+0.00240145
+0.00112795
+4.08459e-05
+-0.000915036
+-0.00120997
+-0.000510336
+0.00049979
+0.00239258
+0.00442515
+0.00650663
+0.00861707
+0.0107393
+0.0128845
+0.0150428
+0.0172093
+0.0193813
+0.021557
+0.0233979
+0.021689
+0.0200738
+0.0185158
+0.0170753
+0.0155617
+0.0139533
+0.0123749
+0.0107544
+0.00920371
+0.00795009
+0.00716227
+0.00688685
+0.00727059
+0.00760576
+0.00818088
+0.00877775
+0.00930514
+0.00999074
+0.0110688
+0.0124088
+0.0137968
+0.0153727
+0.0170848
+0.0188959
+0.0207037
+0.0222234
+0.0238477
+0.0255566
+0.0273344
+0.0291448
+0.0309572
+0.0328158
+0.0344329
+0.0340261
+0.0337567
+0.0336215
+0.0336223
+0.033748
+0.034
+0.0343032
+0.0347252
+0.0352785
+0.035957
+0.0367537
+0.0376611
+0.0386486
+0.0397205
+0.0562952
+0.055415
+0.0546086
+0.0537885
+0.0530099
+0.0522387
+0.0500833
+0.0479312
+0.0457826
+0.0436383
+0.0414988
+0.0393649
+0.0372376
+0.0351182
+0.033008
+0.030909
+0.0288237
+0.0267552
+0.0247078
+0.0226872
+0.0207011
+0.0187452
+0.0168472
+0.015029
+0.0133234
+0.0117627
+0.0103844
+0.00923063
+0.00840082
+0.0079316
+0.00732715
+0.00728438
+0.00763044
+0.00636795
+0.00509255
+0.00372201
+0.00155887
+-0.000518405
+-0.00193453
+-0.000224392
+0.00127588
+0.00221708
+0.00357562
+0.00533692
+0.00729776
+0.00930392
+0.0113432
+0.0134135
+0.0155136
+0.0176333
+0.0197587
+0.0215139
+0.0229556
+0.021175
+0.0194703
+0.0178304
+0.0162975
+0.0149296
+0.0132623
+0.0115619
+0.00996475
+0.00860129
+0.00761884
+0.00708486
+0.00688101
+0.0072181
+0.00747726
+0.00806156
+0.00869356
+0.00930082
+0.00998672
+0.0110651
+0.0124185
+0.0139857
+0.0156936
+0.0174858
+0.0193602
+0.0212641
+0.0228678
+0.0244493
+0.026119
+0.0278609
+0.0296624
+0.0315132
+0.0334033
+0.0345394
+0.0341261
+0.0338446
+0.0337034
+0.0337043
+0.0338249
+0.0339888
+0.0342749
+0.034671
+0.0351988
+0.0358528
+0.0366264
+0.0375122
+0.0385023
+0.0395777
+0.0563631
+0.0554841
+0.0546787
+0.0539503
+0.0532451
+0.05255
+0.0505285
+0.0483962
+0.0462692
+0.0441485
+0.042035
+0.0399298
+0.0378343
+0.0357502
+0.0336796
+0.0316253
+0.0295905
+0.0275796
+0.0255973
+0.0236405
+0.0217283
+0.0198738
+0.0180945
+0.0164151
+0.0148551
+0.0134534
+0.012203
+0.0112262
+0.0105116
+0.00986187
+0.00938195
+0.00932504
+0.00925454
+0.0077732
+0.00559564
+0.00343481
+0.00129447
+-0.000590775
+-0.0015981
+0.000101511
+0.00221284
+0.0039705
+0.00516868
+0.00665748
+0.00837496
+0.0102259
+0.0121877
+0.0141921
+0.0162099
+0.0180533
+0.0197573
+0.021346
+0.0223497
+0.0207064
+0.0190461
+0.0173623
+0.0157719
+0.0141503
+0.0126428
+0.0110037
+0.00930241
+0.00784167
+0.0067539
+0.00616375
+0.00623365
+0.00684682
+0.00751632
+0.00798571
+0.00854549
+0.00953209
+0.0104524
+0.0114872
+0.012796
+0.0143219
+0.015994
+0.0177559
+0.0196044
+0.0215173
+0.0234787
+0.0250301
+0.0266685
+0.0283767
+0.0301474
+0.0319702
+0.0338366
+0.0347627
+0.0343469
+0.0340671
+0.0339268
+0.0338512
+0.0338463
+0.0339654
+0.0342247
+0.0346208
+0.0351493
+0.0358043
+0.0365789
+0.0374658
+0.0384571
+0.0395338
+0.056516
+0.0556394
+0.0548363
+0.05411
+0.0534599
+0.0528757
+0.0510639
+0.0489549
+0.0468533
+0.0447603
+0.0426771
+0.0406052
+0.0385464
+0.036503
+0.0344777
+0.0324738
+0.0304942
+0.0285368
+0.0266158
+0.0247397
+0.0229194
+0.0211695
+0.0195088
+0.0179495
+0.016529
+0.0152255
+0.0141275
+0.0132494
+0.0125786
+0.0118805
+0.0114871
+0.0114119
+0.0101684
+0.00804276
+0.00596021
+0.00393025
+0.00208446
+0.000457423
+0.000357092
+0.00144453
+0.00306453
+0.00497697
+0.0069072
+0.00819001
+0.00974699
+0.011428
+0.0130893
+0.0147647
+0.0164849
+0.0182631
+0.0197962
+0.0213981
+0.0218062
+0.0201185
+0.0185363
+0.017089
+0.0153118
+0.0135726
+0.0119533
+0.0104506
+0.0091308
+0.00763666
+0.00651316
+0.00589923
+0.00597227
+0.00657629
+0.00721122
+0.00778514
+0.00837681
+0.00938117
+0.0105282
+0.0118444
+0.0133589
+0.0149217
+0.0165419
+0.0182812
+0.0200861
+0.021957
+0.0238824
+0.0257718
+0.0273673
+0.0290406
+0.0307788
+0.0325684
+0.0344024
+0.0350644
+0.0346244
+0.0342703
+0.0340213
+0.033907
+0.033898
+0.0340169
+0.0342758
+0.0346714
+0.0351991
+0.0358532
+0.0366268
+0.0374993
+0.0384701
+0.0395385
+0.0567531
+0.0558802
+0.0550806
+0.0543576
+0.0537105
+0.0531291
+0.0516867
+0.0496041
+0.0475313
+0.0454694
+0.0434203
+0.0413856
+0.0393677
+0.0373692
+0.0353916
+0.0334338
+0.0315068
+0.0296164
+0.0277702
+0.0259775
+0.0242504
+0.0226037
+0.0210449
+0.0196039
+0.0182734
+0.0170906
+0.0161182
+0.0153187
+0.0145281
+0.0139282
+0.0136192
+0.0128649
+0.0107993
+0.00879217
+0.00689562
+0.00510739
+0.0034611
+0.00234778
+0.00239105
+0.00325951
+0.00452863
+0.00609556
+0.00775723
+0.00935263
+0.010846
+0.0122522
+0.013798
+0.015319
+0.0169164
+0.0185184
+0.0200474
+0.0215841
+0.0210045
+0.0195023
+0.018104
+0.0165905
+0.0150399
+0.0132588
+0.0115203
+0.00994707
+0.00852726
+0.00732124
+0.00653908
+0.00627759
+0.00634953
+0.00691587
+0.0075222
+0.00815886
+0.00875248
+0.00971809
+0.0109149
+0.0121894
+0.0136657
+0.015314
+0.0170847
+0.0189226
+0.0207615
+0.0225914
+0.0244761
+0.0263996
+0.0282179
+0.0298435
+0.0315375
+0.0332895
+0.0350909
+0.0352924
+0.0347757
+0.0343911
+0.0341377
+0.0340018
+0.0339928
+0.0341114
+0.0343695
+0.0347641
+0.0352904
+0.0359428
+0.0367145
+0.0375781
+0.0385424
+0.0396046
+0.0570734
+0.0562054
+0.0554105
+0.0546919
+0.0540488
+0.0534711
+0.0523937
+0.0503404
+0.0482991
+0.0462716
+0.0442595
+0.0422653
+0.0402892
+0.0383312
+0.0363997
+0.0344992
+0.0326352
+0.0308141
+0.0290441
+0.0273351
+0.0256994
+0.024141
+0.0226852
+0.0213357
+0.0200945
+0.0190253
+0.0181249
+0.0173001
+0.0165382
+0.0160137
+0.0156306
+0.0136313
+0.0117008
+0.00987946
+0.00816591
+0.00654096
+0.00522972
+0.00448326
+0.00450991
+0.00523759
+0.00630484
+0.00760166
+0.00891356
+0.0102923
+0.0118769
+0.0133148
+0.0146857
+0.0160507
+0.0174414
+0.0188196
+0.0202224
+0.0216499
+0.0203511
+0.0187815
+0.0173455
+0.0160806
+0.0146468
+0.0131407
+0.0114878
+0.00981404
+0.00829202
+0.00698574
+0.00618817
+0.00597448
+0.00638945
+0.00705727
+0.00769584
+0.00809962
+0.00872302
+0.00969522
+0.0109953
+0.012493
+0.0141722
+0.0158875
+0.0176005
+0.0193896
+0.0212532
+0.0231742
+0.0251392
+0.0270976
+0.0290242
+0.0306797
+0.0323628
+0.0341035
+0.0358922
+0.0355383
+0.0350217
+0.0346131
+0.0343396
+0.0342045
+0.0342094
+0.0343301
+0.0345866
+0.0349787
+0.0354787
+0.036102
+0.0368189
+0.0376261
+0.0385412
+0.0395565
+0.0574679
+0.056606
+0.0558168
+0.0551035
+0.0544689
+0.0539
+0.0531816
+0.0511599
+0.0491527
+0.0471619
+0.045187
+0.0432288
+0.041294
+0.039386
+0.0375089
+0.0356675
+0.0338678
+0.0321167
+0.0304226
+0.0287956
+0.0272376
+0.0257705
+0.0244051
+0.0231232
+0.0219831
+0.0210103
+0.0201627
+0.0192701
+0.0185891
+0.0181241
+0.0163736
+0.0144773
+0.0126763
+0.0110153
+0.00953883
+0.00826039
+0.00718158
+0.00663961
+0.00667334
+0.00722227
+0.00814087
+0.00933203
+0.0103412
+0.0115675
+0.0128742
+0.0142294
+0.0155533
+0.0166698
+0.0179066
+0.0192332
+0.0205482
+0.0215653
+0.0198808
+0.0182708
+0.0167912
+0.0154811
+0.0142865
+0.0125971
+0.0110028
+0.00954785
+0.00836675
+0.00721942
+0.00645448
+0.00624907
+0.00664781
+0.00731094
+0.00791091
+0.00830424
+0.00901671
+0.00996028
+0.0112535
+0.0127636
+0.0144113
+0.0161883
+0.0180564
+0.0199902
+0.0218904
+0.0237599
+0.0256802
+0.0276407
+0.0295892
+0.0312411
+0.0329559
+0.0347243
+0.0363767
+0.0357417
+0.0352281
+0.0348218
+0.03455
+0.0344157
+0.0344206
+0.0345428
+0.0347797
+0.0351167
+0.0355668
+0.0361373
+0.0368294
+0.0376364
+0.0385513
+0.0395663
+0.0578474
+0.057039
+0.0562967
+0.0555895
+0.0549605
+0.0544126
+0.053929
+0.0520588
+0.050085
+0.0481267
+0.0461892
+0.0442754
+0.0423883
+0.0405319
+0.0387103
+0.036929
+0.0351938
+0.0335121
+0.0318922
+0.0303345
+0.0288585
+0.0274775
+0.0261682
+0.024975
+0.0239233
+0.0230326
+0.0220947
+0.0212833
+0.0206688
+0.0192242
+0.0173629
+0.0155874
+0.0139231
+0.0124059
+0.0111157
+0.0100658
+0.00923749
+0.00881164
+0.00884559
+0.00929992
+0.0101144
+0.0111485
+0.0120012
+0.0129888
+0.014032
+0.0152585
+0.0164022
+0.0173981
+0.0185941
+0.0197966
+0.0210411
+0.021348
+0.019623
+0.0179885
+0.0164835
+0.0151468
+0.0138612
+0.0122977
+0.0105705
+0.00904637
+0.00774029
+0.00683301
+0.00643404
+0.00656425
+0.00695548
+0.00770226
+0.00803511
+0.0087291
+0.00963094
+0.0106778
+0.0118932
+0.0133393
+0.0149255
+0.0166477
+0.0184694
+0.020364
+0.0223128
+0.0243028
+0.0262501
+0.0277728
+0.02938
+0.0310587
+0.0327858
+0.0345629
+0.0363851
+0.0360658
+0.0355343
+0.035127
+0.0348309
+0.0346625
+0.0345869
+0.0346499
+0.0348508
+0.0351872
+0.0356444
+0.0362137
+0.0369043
+0.0377098
+0.0386229
+0.0396285
+0.0582973
+0.0574951
+0.0567662
+0.0561011
+0.0555114
+0.054992
+0.0545209
+0.0530246
+0.051085
+0.0491665
+0.0472717
+0.0454035
+0.0435654
+0.0417613
+0.0399958
+0.0382743
+0.036603
+0.0349889
+0.0334316
+0.0319485
+0.0305506
+0.0292244
+0.02799
+0.0268778
+0.0259035
+0.0249842
+0.0240711
+0.0233285
+0.0221414
+0.0203112
+0.0185592
+0.0168986
+0.015363
+0.0140027
+0.0128732
+0.011963
+0.0113438
+0.0109911
+0.0110192
+0.0114051
+0.0121045
+0.0130351
+0.0137187
+0.0144743
+0.0153674
+0.0164361
+0.0173455
+0.0182901
+0.0194312
+0.0205248
+0.0217064
+0.0213247
+0.0195875
+0.0179499
+0.0164416
+0.0149609
+0.0135686
+0.0122483
+0.0105379
+0.00892776
+0.00759141
+0.00661051
+0.00619492
+0.00631658
+0.00679342
+0.00759874
+0.00816557
+0.00885034
+0.00991711
+0.0110632
+0.0123913
+0.0139388
+0.015618
+0.0173732
+0.0191259
+0.0209612
+0.0228592
+0.0247482
+0.0261846
+0.0277109
+0.0293215
+0.0310033
+0.0327453
+0.0345385
+0.0363633
+0.0364393
+0.0358894
+0.0354121
+0.0350655
+0.0348533
+0.0347782
+0.0348408
+0.0350406
+0.0353502
+0.0357902
+0.0363572
+0.0370452
+0.0378476
+0.0387379
+0.0397256
+0.0588253
+0.0580305
+0.0573084
+0.0566496
+0.0560657
+0.0555622
+0.0551411
+0.0540591
+0.0521579
+0.0502804
+0.0484292
+0.0466074
+0.0448187
+0.0430671
+0.0413574
+0.039695
+0.0380857
+0.0365289
+0.0350399
+0.0336278
+0.0322885
+0.0310214
+0.0298614
+0.0288216
+0.0279152
+0.0269267
+0.0260817
+0.025102
+0.0232984
+0.0215666
+0.0199116
+0.0183666
+0.0169643
+0.015743
+0.0147346
+0.0139464
+0.0134662
+0.0131742
+0.0131977
+0.0135302
+0.0141436
+0.0150046
+0.0154852
+0.0160737
+0.0168784
+0.0176766
+0.0184825
+0.0193577
+0.0204297
+0.0214529
+0.0225234
+0.02151
+0.0197891
+0.0181697
+0.0165523
+0.0149934
+0.0135398
+0.0119199
+0.0104464
+0.00922542
+0.00798635
+0.00706115
+0.00667368
+0.00678676
+0.00723267
+0.00806833
+0.00876162
+0.00943331
+0.0103729
+0.0116068
+0.0130707
+0.0145461
+0.0161844
+0.0179391
+0.0197521
+0.021635
+0.0234227
+0.0248724
+0.026302
+0.0278218
+0.0294263
+0.0311025
+0.0328393
+0.0345367
+0.0361435
+0.0367306
+0.0362066
+0.0357336
+0.03539
+0.0351632
+0.0350622
+0.035098
+0.0352701
+0.0355765
+0.0360137
+0.0365772
+0.0372612
+0.038055
+0.0389422
+0.0399092
+0.059389
+0.0586428
+0.0579283
+0.0572768
+0.0566994
+0.0562015
+0.0557852
+0.0551611
+0.0532993
+0.0514635
+0.0496564
+0.0478813
+0.046142
+0.0444426
+0.0427879
+0.0411826
+0.0396263
+0.0381324
+0.0367086
+0.0353578
+0.0340648
+0.0328663
+0.0317737
+0.0307985
+0.0298308
+0.0289048
+0.0280923
+0.0263113
+0.024595
+0.0229473
+0.0213971
+0.0199674
+0.0186856
+0.0175843
+0.0166762
+0.0159774
+0.0155464
+0.0153595
+0.0153797
+0.0156733
+0.0162223
+0.0169327
+0.0172973
+0.0177808
+0.0183918
+0.019019
+0.0197211
+0.0205448
+0.0215204
+0.0224433
+0.0234564
+0.0217115
+0.0200542
+0.0185007
+0.0168572
+0.0153293
+0.0136106
+0.0119578
+0.0104686
+0.00918953
+0.00823616
+0.00768626
+0.00759559
+0.00782553
+0.00820958
+0.0086843
+0.00891134
+0.00949161
+0.0104603
+0.0116965
+0.013173
+0.0148271
+0.016606
+0.0184735
+0.0204054
+0.0219569
+0.0234924
+0.0250675
+0.0265999
+0.0281036
+0.0296929
+0.0313548
+0.0328948
+0.0344389
+0.0360501
+0.03712
+0.0366038
+0.0361173
+0.0357516
+0.0355174
+0.0354175
+0.0354529
+0.0356233
+0.0359267
+0.0363533
+0.0368781
+0.0375173
+0.0382714
+0.0391288
+0.040083
+0.0599162
+0.0592155
+0.0585885
+0.0579784
+0.0574097
+0.056918
+0.056507
+0.0561716
+0.0545049
+0.0527111
+0.0509482
+0.0492198
+0.0475295
+0.0458815
+0.0442797
+0.0427238
+0.0412258
+0.039792
+0.0384288
+0.0371172
+0.0358869
+0.0347513
+0.0337199
+0.0327705
+0.0317791
+0.0309115
+0.0293419
+0.0276372
+0.0259977
+0.0244446
+0.0229957
+0.0216716
+0.0204967
+0.0194979
+0.0186648
+0.018033
+0.0176523
+0.0175209
+0.0175638
+0.017828
+0.0183244
+0.018821
+0.0191153
+0.0195049
+0.0199726
+0.0204568
+0.0210959
+0.0218467
+0.0226652
+0.0235436
+0.0235219
+0.0217822
+0.0201308
+0.0185716
+0.0171181
+0.0156495
+0.0139565
+0.0123257
+0.010866
+0.00957297
+0.0086334
+0.0080308
+0.00791383
+0.00814889
+0.0085814
+0.00897505
+0.00932853
+0.00992985
+0.0108657
+0.0120677
+0.01352
+0.0151365
+0.0168827
+0.0187227
+0.0206313
+0.0222453
+0.0237541
+0.0253411
+0.0269513
+0.028497
+0.0299109
+0.0313896
+0.0328985
+0.0344421
+0.0360414
+0.0375882
+0.0369829
+0.0364993
+0.0361405
+0.0359089
+0.0358102
+0.0358453
+0.0360138
+0.0362931
+0.0366816
+0.0371954
+0.0378292
+0.0385772
+0.039428
+0.0403714
+0.0605147
+0.0598211
+0.0592004
+0.0586551
+0.0581444
+0.0576751
+0.0572857
+0.0569727
+0.0557705
+0.0540187
+0.0523
+0.0506177
+0.0489757
+0.0473768
+0.0458214
+0.0443198
+0.0428775
+0.0415008
+0.0401767
+0.0389198
+0.0377483
+0.0366703
+0.0356944
+0.034692
+0.0337572
+0.0323853
+0.0306906
+0.0290582
+0.0275035
+0.0260404
+0.0246853
+0.0234568
+0.0223758
+0.0214631
+0.0206853
+0.0201171
+0.0197766
+0.0196584
+0.0197494
+0.0199906
+0.0204348
+0.0207372
+0.0209362
+0.0212548
+0.0215374
+0.0219863
+0.022534
+0.0231902
+0.0239332
+0.0247674
+0.0237458
+0.0220238
+0.020392
+0.0188387
+0.0173918
+0.0156701
+0.0140281
+0.0125298
+0.0112237
+0.0101877
+0.00943083
+0.00885773
+0.00871196
+0.00889274
+0.00937606
+0.00971765
+0.0101367
+0.0107258
+0.0116124
+0.0127958
+0.0141787
+0.0157276
+0.0174147
+0.0192038
+0.0210688
+0.0227134
+0.0241992
+0.0257596
+0.0272745
+0.0286459
+0.0300295
+0.0315026
+0.0330275
+0.0345653
+0.0361656
+0.0377974
+0.0374029
+0.0369247
+0.0365671
+0.0363383
+0.0362407
+0.0362754
+0.036442
+0.0367386
+0.0371184
+0.037616
+0.0382267
+0.0389334
+0.0397484
+0.0406653
+0.0611315
+0.0605
+0.0598863
+0.0593473
+0.0588817
+0.0584742
+0.0580902
+0.0577868
+0.0570922
+0.0553822
+0.0537071
+0.0520703
+0.0504741
+0.0489191
+0.0474143
+0.0459648
+0.0445758
+0.0432416
+0.0419622
+0.0407604
+0.0396433
+0.0386182
+0.0376345
+0.0366438
+0.0354382
+0.0337521
+0.0321259
+0.0305702
+0.0290964
+0.0277175
+0.0264485
+0.0253057
+0.0243071
+0.0234473
+0.0227375
+0.0222218
+0.0219139
+0.0218065
+0.0219054
+0.0221586
+0.0225602
+0.0226549
+0.022763
+0.0229485
+0.0232029
+0.0235658
+0.0240606
+0.0246267
+0.0253125
+0.0258802
+0.024164
+0.0224734
+0.020866
+0.0193167
+0.0175838
+0.0158467
+0.0142252
+0.0127502
+0.0114526
+0.0104265
+0.00970405
+0.00942424
+0.00956291
+0.0100675
+0.0104591
+0.0108273
+0.0112644
+0.0118118
+0.0126807
+0.0137739
+0.0151026
+0.0165892
+0.0181966
+0.0199155
+0.0217195
+0.0233581
+0.0248053
+0.0263298
+0.027579
+0.028936
+0.0303064
+0.0317667
+0.0333005
+0.0348262
+0.0363993
+0.0380177
+0.0379449
+0.0374707
+0.0371184
+0.036893
+0.0367969
+0.036831
+0.0369951
+0.0372464
+0.0376062
+0.0380731
+0.0386581
+0.0393341
+0.0401178
+0.0409872
+0.0617685
+0.0611796
+0.0606437
+0.0601114
+0.0596518
+0.0592571
+0.0589412
+0.0586663
+0.058448
+0.0567974
+0.0551653
+0.0535715
+0.0520168
+0.0505093
+0.0490534
+0.0476537
+0.0463107
+0.0450121
+0.0437845
+0.0426341
+0.0415673
+0.0405909
+0.0395624
+0.0384966
+0.0368197
+0.0351989
+0.0336427
+0.0321604
+0.0307629
+0.0294622
+0.0282715
+0.0272055
+0.0262738
+0.0254653
+0.0248133
+0.0243416
+0.0240609
+0.0239622
+0.0240523
+0.0243307
+0.0246447
+0.0245634
+0.0246199
+0.0246811
+0.0249015
+0.0252166
+0.0256683
+0.0261602
+0.0267925
+0.0261361
+0.0244785
+0.0228943
+0.0214168
+0.0197866
+0.0180046
+0.016296
+0.0147049
+0.0132521
+0.011982
+0.0109819
+0.0103115
+0.0100344
+0.0101647
+0.0106951
+0.0115912
+0.0122287
+0.0126458
+0.0131623
+0.0139474
+0.0150101
+0.016238
+0.0176533
+0.0191978
+0.0208343
+0.022565
+0.0241847
+0.0255852
+0.0268294
+0.0280519
+0.029387
+0.0307373
+0.0321781
+0.0336997
+0.0352025
+0.0367507
+0.0383411
+0.0385928
+0.0381251
+0.0377788
+0.0375573
+0.0374475
+0.0374315
+0.0375225
+0.0377369
+0.0380284
+0.0384419
+0.0389743
+0.0396208
+0.0403586
+0.0411943
+0.0624632
+0.0618815
+0.0613646
+0.0608692
+0.0604491
+0.0601023
+0.0597908
+0.0595584
+0.0593827
+0.0582607
+0.0566689
+0.0551146
+0.0536047
+0.0521431
+0.0507341
+0.0493811
+0.0480683
+0.0468182
+0.0456392
+0.0445367
+0.0435166
+0.0425065
+0.0415164
+0.0398921
+0.038276
+0.0367194
+0.0352305
+0.0338179
+0.0324918
+0.031263
+0.0301436
+0.0291461
+0.0282599
+0.0275097
+0.0269073
+0.026473
+0.0262151
+0.0261238
+0.0262065
+0.0264679
+0.0265909
+0.0264999
+0.0264302
+0.0264717
+0.0266434
+0.0269377
+0.0272928
+0.0277602
+0.028261
+0.0265707
+0.0249383
+0.0233841
+0.0219388
+0.0203774
+0.0186187
+0.0169609
+0.0154287
+0.0140282
+0.0128341
+0.011898
+0.0112629
+0.0110308
+0.0111522
+0.0116305
+0.0124595
+0.0131647
+0.0137912
+0.0145044
+0.0154065
+0.0163918
+0.0175743
+0.0188897
+0.0203565
+0.0219342
+0.0235843
+0.0251647
+0.026404
+0.0274903
+0.0286847
+0.0299916
+0.0313159
+0.0327312
+0.0342196
+0.0357044
+0.037211
+0.0387825
+0.0392579
+0.0387982
+0.0384484
+0.0381878
+0.0379774
+0.0378881
+0.0379254
+0.0380888
+0.0383768
+0.0387866
+0.0393143
+0.0399553
+0.040687
+0.0415161
+0.0631358
+0.0625604
+0.062057
+0.0616231
+0.061235
+0.0608963
+0.0606349
+0.0604519
+0.0603286
+0.0597665
+0.0582124
+0.0567003
+0.0552338
+0.0538165
+0.0524524
+0.0511295
+0.0498599
+0.0486559
+0.0475225
+0.0464647
+0.045471
+0.044439
+0.0429681
+0.0413562
+0.0397995
+0.038305
+0.0368801
+0.0355332
+0.0342734
+0.0331109
+0.0320561
+0.0311069
+0.0302741
+0.0295751
+0.0290156
+0.0286133
+0.0283749
+0.0282899
+0.0283662
+0.0286086
+0.0285725
+0.0283874
+0.0282798
+0.0283186
+0.0284375
+0.0286933
+0.0289918
+0.0294256
+0.0288304
+0.0271755
+0.0255763
+0.0240633
+0.0226614
+0.0211337
+0.0194403
+0.0178469
+0.0163919
+0.015081
+0.0139772
+0.0130863
+0.0125117
+0.0122717
+0.0123786
+0.0128631
+0.0136204
+0.0142813
+0.0148609
+0.0155307
+0.0163709
+0.0174474
+0.0186785
+0.0200656
+0.0215863
+0.0231589
+0.024756
+0.0262174
+0.0271502
+0.0282059
+0.0293873
+0.0306195
+0.0319346
+0.0333294
+0.0347877
+0.036261
+0.0377925
+0.0393412
+0.0398636
+0.0393873
+0.038998
+0.0386636
+0.0384513
+0.0383631
+0.0383999
+0.0385613
+0.0388458
+0.0392506
+0.0397722
+0.0403862
+0.0410822
+0.0418813
+0.0638766
+0.0633079
+0.0628105
+0.0623827
+0.0620178
+0.0617286
+0.0614903
+0.0613098
+0.0612044
+0.061165
+0.0597962
+0.0583252
+0.0569006
+0.0555259
+0.0541949
+0.0529082
+0.0516823
+0.0505218
+0.0494311
+0.0484151
+0.0473839
+0.0460452
+0.0444369
+0.0428802
+0.0413809
+0.0399456
+0.0385813
+0.0372959
+0.0360977
+0.0349958
+0.0339978
+0.0330929
+0.0323114
+0.0316574
+0.0311353
+0.0307607
+0.0305391
+0.0304595
+0.0305304
+0.0307564
+0.0305303
+0.0302813
+0.0301745
+0.0301698
+0.0302729
+0.0304724
+0.0307532
+0.0310883
+0.0295515
+0.0279286
+0.0263686
+0.0249038
+0.0235519
+0.0220654
+0.0204493
+0.0189409
+0.0175605
+0.0163317
+0.0152967
+0.0144803
+0.0139632
+0.0137471
+0.0138426
+0.0142775
+0.0149994
+0.0156268
+0.0161581
+0.0167764
+0.0175571
+0.0185649
+0.0197456
+0.0210716
+0.0225245
+0.0240893
+0.0257455
+0.0271145
+0.0280144
+0.0290387
+0.0301875
+0.031388
+0.0326703
+0.0340252
+0.0354593
+0.0369215
+0.0384432
+0.0400074
+0.0404194
+0.0399227
+0.0395368
+0.039207
+0.0389976
+0.0389107
+0.0389469
+0.0390873
+0.0393444
+0.0397208
+0.0402012
+0.0407608
+0.0414281
+0.0421988
+0.0646831
+0.0641215
+0.0636305
+0.0632082
+0.0628482
+0.0625628
+0.0623531
+0.0621944
+0.0620933
+0.0620694
+0.0614174
+0.0599862
+0.0586019
+0.0572637
+0.0559619
+0.0547168
+0.0535324
+0.0524128
+0.0513623
+0.0503472
+0.049124
+0.0475188
+0.0459621
+0.0444588
+0.0430146
+0.0416356
+0.0403286
+0.0391006
+0.0379595
+0.0369132
+0.0359577
+0.0351033
+0.0343675
+0.0337534
+0.0332642
+0.0329138
+0.0327068
+0.0326319
+0.0326981
+0.032809
+0.032447
+0.0322103
+0.0320916
+0.0320558
+0.0321515
+0.0322946
+0.0325083
+0.031705
+0.0300836
+0.0285303
+0.0270531
+0.025678
+0.0244223
+0.0231673
+0.0216337
+0.0201956
+0.0188843
+0.0177454
+0.0167921
+0.016052
+0.0155871
+0.0153938
+0.0154791
+0.0158597
+0.0163642
+0.0169938
+0.0176145
+0.0182014
+0.0189235
+0.019862
+0.0209698
+0.0222363
+0.0236292
+0.0251252
+0.0267173
+0.0281507
+0.0290186
+0.0300086
+0.0311108
+0.0322627
+0.0335089
+0.0348306
+0.0362323
+0.0376645
+0.039167
+0.0407228
+0.0409516
+0.0403963
+0.0399536
+0.0396273
+0.0394202
+0.0393342
+0.0393514
+0.0394854
+0.0397399
+0.0401126
+0.0406003
+0.0411887
+0.0418492
+0.0426122
+0.0655529
+0.0649989
+0.0645145
+0.0640981
+0.063743
+0.0634616
+0.0632549
+0.0631236
+0.063043
+0.0630195
+0.0630721
+0.0616802
+0.0603338
+0.0590202
+0.0577579
+0.0565524
+0.0554072
+0.0543263
+0.0533135
+0.052205
+0.0506027
+0.049046
+0.0475393
+0.0460875
+0.044696
+0.0433705
+0.0421173
+0.040943
+0.0398547
+0.0388582
+0.0379428
+0.037134
+0.0364393
+0.0358607
+0.0354006
+0.0350716
+0.0348774
+0.0348066
+0.0348687
+0.0347541
+0.0343964
+0.0341481
+0.0340178
+0.0339683
+0.0340389
+0.0341126
+0.033976
+0.0323201
+0.0307312
+0.0292202
+0.0277984
+0.026462
+0.0252453
+0.024154
+0.0226977
+0.0213543
+0.02016
+0.0191426
+0.0182904
+0.017666
+0.0172858
+0.016974
+0.0169041
+0.0170999
+0.0175688
+0.0181613
+0.0189569
+0.0194532
+0.0201763
+0.0210775
+0.0221418
+0.0233637
+0.0247196
+0.0261852
+0.0277317
+0.0292552
+0.0300692
+0.0310168
+0.0320812
+0.0331991
+0.0344203
+0.0357251
+0.0370972
+0.038518
+0.0399884
+0.0415223
+0.0414536
+0.0409051
+0.040468
+0.0401459
+0.0399414
+0.0398547
+0.0398674
+0.0399997
+0.040251
+0.040619
+0.0411006
+0.0416919
+0.042352
+0.0430199
+0.0664835
+0.0659373
+0.0654599
+0.0650495
+0.0646997
+0.0644225
+0.0642189
+0.0640895
+0.0640349
+0.0640253
+0.0640771
+0.0634046
+0.0620825
+0.0608049
+0.0595804
+0.0584125
+0.0573045
+0.05626
+0.0552274
+0.0536883
+0.0521316
+0.050622
+0.0491636
+0.0477612
+0.0464198
+0.045145
+0.0439424
+0.0428182
+0.0417788
+0.0408199
+0.0399493
+0.039182
+0.0385242
+0.0379774
+0.0375433
+0.0372332
+0.0370503
+0.0369831
+0.0370416
+0.0367079
+0.0363526
+0.0361085
+0.0359402
+0.0358933
+0.0359055
+0.0359674
+0.0346893
+0.0330691
+0.031518
+0.0300466
+0.0286651
+0.0273869
+0.0262015
+0.0248168
+0.0233901
+0.0220889
+0.0209365
+0.0199588
+0.0191429
+0.0185472
+0.0181975
+0.0181078
+0.0182438
+0.0185171
+0.018951
+0.0195058
+0.0202574
+0.0207548
+0.0214341
+0.0223086
+0.0233334
+0.0244959
+0.0257924
+0.0272002
+0.0286921
+0.0302691
+0.031226
+0.0321395
+0.0331678
+0.0339966
+0.0349029
+0.0359121
+0.0370228
+0.0382091
+0.0394794
+0.0408279
+0.0420359
+0.0414952
+0.0410643
+0.0407469
+0.0405455
+0.0404619
+0.0404949
+0.0406258
+0.0408732
+0.0412356
+0.0416752
+0.0421422
+0.0427011
+0.0433636
+0.0674725
+0.0669343
+0.0664641
+0.06606
+0.0657155
+0.0654426
+0.0652422
+0.0651149
+0.0650611
+0.0650811
+0.0651359
+0.0651482
+0.0638567
+0.0626153
+0.0614269
+0.0602948
+0.059222
+0.0582036
+0.0567752
+0.0552187
+0.0537064
+0.0522423
+0.0508304
+0.0494752
+0.0481816
+0.0469547
+0.0457996
+0.0447222
+0.043727
+0.0428037
+0.0419743
+0.0412447
+0.0406203
+0.0401021
+0.0396912
+0.0393981
+0.0392253
+0.0391613
+0.0391279
+0.0386766
+0.0383255
+0.0380624
+0.0378917
+0.0378461
+0.03779
+0.0371659
+0.0355236
+0.0339432
+0.0324338
+0.031002
+0.0296632
+0.0284299
+0.0271229
+0.0256395
+0.0242612
+0.0230093
+0.0219054
+0.0209626
+0.0201837
+0.0196196
+0.0192893
+0.0192037
+0.0193213
+0.0196824
+0.0202751
+0.0209933
+0.0216934
+0.0221967
+0.0228331
+0.023656
+0.0246456
+0.0257503
+0.0269866
+0.0283386
+0.0295099
+0.02978
+0.0302071
+0.0307844
+0.0315039
+0.0323378
+0.0332798
+0.0343332
+0.035472
+0.0367064
+0.0380269
+0.0394251
+0.0408928
+0.0421486
+0.0417672
+0.0414551
+0.0412572
+0.041175
+0.0412066
+0.0412897
+0.041472
+0.0417626
+0.0421419
+0.0425883
+0.0431414
+0.0437972
+0.0684913
+0.0679748
+0.0675244
+0.0671267
+0.0667877
+0.0665192
+0.0663221
+0.0661968
+0.0661439
+0.0661636
+0.0662502
+0.0663725
+0.0656561
+0.0644493
+0.0632954
+0.0621973
+0.0611579
+0.0598632
+0.0583068
+0.0567923
+0.0553231
+0.0539029
+0.0525356
+0.0512256
+0.0499774
+0.0487956
+0.0476852
+0.0466512
+0.0456898
+0.0448068
+0.0440152
+0.04332
+0.0427259
+0.0422335
+0.0418436
+0.0415656
+0.0414019
+0.0413408
+0.0410979
+0.0406551
+0.0403112
+0.0400304
+0.0398681
+0.0397676
+0.0397059
+0.0380691
+0.0364675
+0.0349298
+0.0334629
+0.0320771
+0.030785
+0.0295727
+0.0280493
+0.0266175
+0.0252926
+0.0240944
+0.0230386
+0.0221163
+0.0213795
+0.0208479
+0.0205373
+0.0204571
+0.020568
+0.0209076
+0.0214665
+0.0222153
+0.0229967
+0.0236792
+0.0243492
+0.0251225
+0.0260564
+0.0271147
+0.0276534
+0.0276295
+0.0277761
+0.0280629
+0.0285157
+0.0291266
+0.0298716
+0.0307345
+0.0317116
+0.0327952
+0.0339855
+0.0352719
+0.0366442
+0.0380932
+0.0396103
+0.040886
+0.0421787
+0.0421803
+0.0419579
+0.0418106
+0.0417778
+0.0418597
+0.042038
+0.042259
+0.0425916
+0.0430333
+0.0435808
+0.0442301
+0.0695497
+0.0690412
+0.0685989
+0.0682241
+0.0679138
+0.0676497
+0.0674558
+0.0673327
+0.0672807
+0.0673
+0.0673906
+0.0675375
+0.0674786
+0.066305
+0.065184
+0.0641182
+0.0629523
+0.061396
+0.0598795
+0.0584058
+0.0569782
+0.0556002
+0.0542758
+0.0530088
+0.0518035
+0.0506643
+0.0495958
+0.0486018
+0.0476723
+0.0468267
+0.0460698
+0.045406
+0.0448396
+0.0443707
+0.0439997
+0.0437355
+0.0435799
+0.0435214
+0.0430766
+0.0426543
+0.042288
+0.0420204
+0.0418658
+0.0417078
+0.0406896
+0.0390726
+0.0375138
+0.0360209
+0.0346003
+0.0332619
+0.0320177
+0.0305819
+0.0291113
+0.0277345
+0.0264655
+0.0253223
+0.0242916
+0.0234187
+0.0227241
+0.0222246
+0.0219336
+0.0218588
+0.0219629
+0.0222813
+0.0228065
+0.0235025
+0.0243518
+0.0246883
+0.024667
+0.0248392
+0.0251809
+0.0256903
+0.0259816
+0.0259561
+0.0260964
+0.0264015
+0.0268822
+0.0275293
+0.0282883
+0.0291796
+0.0301951
+0.0313312
+0.0325751
+0.033915
+0.0353401
+0.0368403
+0.0383952
+0.0397042
+0.0410342
+0.0424356
+0.0426317
+0.0424867
+0.0424331
+0.0424483
+0.0425581
+0.0427764
+0.043105
+0.0435415
+0.0440768
+0.0446981
+0.0706602
+0.0701597
+0.0697245
+0.0693558
+0.0690358
+0.0687761
+0.0685854
+0.0684643
+0.0684131
+0.0684321
+0.0685212
+0.0686801
+0.0689083
+0.0681806
+0.0670909
+0.0660422
+0.0644861
+0.0629677
+0.06149
+0.0600558
+0.0586683
+0.0573311
+0.0560475
+0.0548215
+0.053657
+0.0525579
+0.0515287
+0.0505653
+0.0496723
+0.0488613
+0.0481364
+0.0475016
+0.0469604
+0.0465129
+0.0461591
+0.0459073
+0.0457591
+0.0455802
+0.0450749
+0.0446466
+0.0442849
+0.0440294
+0.0438319
+0.0433732
+0.0417452
+0.0401706
+0.0386562
+0.0372091
+0.0358356
+0.0345452
+0.0331312
+0.0317105
+0.0302948
+0.0289742
+0.027762
+0.0266482
+0.0256687
+0.0248442
+0.0241906
+0.023722
+0.0234496
+0.0233747
+0.0234705
+0.0237686
+0.024219
+0.0236371
+0.023245
+0.0230159
+0.0229931
+0.0231782
+0.0235566
+0.0240996
+0.024392
+0.0243649
+0.0244975
+0.0248223
+0.025333
+0.025971
+0.0267665
+0.0276977
+0.0287656
+0.0299559
+0.0312547
+0.0326488
+0.0341249
+0.0356614
+0.0372633
+0.0386107
+0.039977
+0.0414142
+0.0429152
+0.0430494
+0.0429311
+0.0429245
+0.0430295
+0.0432453
+0.0435674
+0.0439783
+0.0444933
+0.0451089
+0.0718171
+0.071324
+0.0708893
+0.0705135
+0.0701963
+0.0699409
+0.0697534
+0.0696343
+0.0695841
+0.0696028
+0.0696903
+0.0698465
+0.0700709
+0.0700745
+0.0690147
+0.0675769
+0.0660569
+0.0645755
+0.0631354
+0.0617394
+0.0603907
+0.0590924
+0.057848
+0.0566609
+0.0555349
+0.0544738
+0.0534809
+0.0525465
+0.0516877
+0.0509089
+0.0502135
+0.0496053
+0.0490874
+0.0486594
+0.0483213
+0.0480808
+0.0479393
+0.0475742
+0.0470771
+0.0466454
+0.0462994
+0.046055
+0.0457994
+0.0444152
+0.0428035
+0.0412452
+0.0397466
+0.0383148
+0.0369486
+0.0355618
+0.0341877
+0.0329022
+0.0315771
+0.0303139
+0.0291379
+0.0280744
+0.0271464
+0.0263682
+0.0257533
+0.0253136
+0.0250585
+0.0249885
+0.0244327
+0.0234863
+0.022687
+0.0220615
+0.0216407
+0.0214057
+0.0213813
+0.0215805
+0.0219905
+0.0225699
+0.0228934
+0.0228546
+0.0229946
+0.0233403
+0.0238318
+0.0245012
+0.0253334
+0.026315
+0.0274368
+0.0286823
+0.0300361
+0.0314778
+0.032992
+0.0345788
+0.0362286
+0.0375998
+0.0389983
+0.040467
+0.0419988
+0.0435647
+0.0434478
+0.0434412
+0.043545
+0.0437583
+0.0440796
+0.0444932
+0.0450023
+0.045611
+0.0730125
+0.0725204
+0.0720866
+0.0717171
+0.0714053
+0.0711542
+0.0709699
+0.0708528
+0.0708034
+0.0708218
+0.0709079
+0.0710614
+0.071282
+0.0715689
+0.0706683
+0.0691469
+0.0676622
+0.0662168
+0.0648131
+0.0634541
+0.0621426
+0.0608816
+0.0596745
+0.0585245
+0.0574351
+0.0564098
+0.0554448
+0.0545437
+0.0537169
+0.0529679
+0.0523
+0.0517162
+0.0512197
+0.0508096
+0.050486
+0.0502559
+0.0501205
+0.0495788
+0.0490796
+0.0486608
+0.0483291
+0.048038
+0.0469174
+0.0452887
+0.0437093
+0.0421845
+0.0407205
+0.0393241
+0.0379942
+0.0366792
+0.0353486
+0.0341019
+0.0329414
+0.0317303
+0.0306049
+0.0295608
+0.0282669
+0.0270886
+0.0260416
+0.0251332
+0.0243863
+0.0238175
+0.0230787
+0.022075
+0.0212218
+0.020552
+0.0200998
+0.019866
+0.0198399
+0.0200544
+0.0205005
+0.0211216
+0.0215042
+0.0214384
+0.0215591
+0.0218851
+0.0224112
+0.0231298
+0.0240042
+0.025038
+0.0262145
+0.0275154
+0.0289203
+0.030404
+0.0319692
+0.0336043
+0.0352996
+0.0366803
+0.0381125
+0.0396141
+0.0411776
+0.0427961
+0.0440674
+0.0440609
+0.0441632
+0.0443736
+0.0446905
+0.0450985
+0.0456008
+0.0462017
+0.074245
+0.0737563
+0.0733298
+0.0729666
+0.0726601
+0.0724134
+0.0722323
+0.0721173
+0.0720688
+0.0720868
+0.0721714
+0.0723222
+0.072539
+0.072821
+0.0722376
+0.0707499
+0.0692996
+0.067889
+0.0665207
+0.0651972
+0.0639215
+0.0626964
+0.0615249
+0.0604101
+0.0593553
+0.0583633
+0.0574248
+0.0565553
+0.0557583
+0.0550371
+0.0543946
+0.0538336
+0.0533567
+0.0529632
+0.0526528
+0.0524322
+0.0521439
+0.0515788
+0.0510967
+0.0506907
+0.0503677
+0.049487
+0.0478456
+0.0462496
+0.0447041
+0.0432144
+0.0417865
+0.0404258
+0.0391212
+0.0378166
+0.0365033
+0.034799
+0.0331518
+0.0315708
+0.0300663
+0.028648
+0.0273109
+0.0260895
+0.0250007
+0.0240537
+0.0232722
+0.0226747
+0.0218402
+0.0207767
+0.0198841
+0.0191676
+0.0186819
+0.0184314
+0.0184033
+0.0186344
+0.0191123
+0.0197771
+0.0202011
+0.0200844
+0.0201977
+0.0205454
+0.0211048
+0.0218665
+0.0227894
+0.0238758
+0.0251068
+0.0264622
+0.0279147
+0.0294544
+0.0310674
+0.0327475
+0.034485
+0.0358711
+0.0373344
+0.0388661
+0.0404585
+0.0420988
+0.0437843
+0.0447794
+0.04488
+0.045087
+0.0453989
+0.0458007
+0.0462954
+0.0468873
+0.0755163
+0.0750358
+0.0746166
+0.0742597
+0.0739586
+0.0737162
+0.0735383
+0.0734254
+0.0733777
+0.0733954
+0.0734785
+0.0736267
+0.0738396
+0.0741166
+0.0738385
+0.0723838
+0.0709668
+0.0695901
+0.0682558
+0.0669667
+0.0657253
+0.0645344
+0.0633969
+0.0623156
+0.0612936
+0.0603274
+0.0594196
+0.0585797
+0.0578107
+0.0571153
+0.0564965
+0.0559565
+0.0554979
+0.0551197
+0.0548215
+0.0546097
+0.05414
+0.0535914
+0.0531275
+0.0527334
+0.0521142
+0.0504631
+0.0488544
+0.0472926
+0.0457823
+0.0443288
+0.0429354
+0.0413417
+0.0394818
+0.0376576
+0.0358743
+0.0341386
+0.0324579
+0.0308414
+0.0292995
+0.0278447
+0.0264914
+0.0252414
+0.0241144
+0.0231311
+0.0223173
+0.0216836
+0.0207444
+0.0196216
+0.0186602
+0.0179023
+0.0173815
+0.0171242
+0.0170942
+0.0173426
+0.0178432
+0.0185657
+0.0189854
+0.0188524
+0.0189731
+0.0193428
+0.0199476
+0.0207368
+0.0217052
+0.0228433
+0.0241265
+0.0255207
+0.0270208
+0.0286101
+0.0302746
+0.0320025
+0.033764
+0.03518
+0.0366696
+0.0382183
+0.0398271
+0.0414892
+0.0431985
+0.0449495
+0.0456907
+0.0458941
+0.0462005
+0.0465953
+0.0470817
+0.0476639
+0.0766268
+0.0763116
+0.0759448
+0.0755888
+0.0752879
+0.0750498
+0.0748751
+0.0747641
+0.0747173
+0.0747347
+0.0748162
+0.0749617
+0.0751708
+0.0754429
+0.075469
+0.0740464
+0.0726619
+0.0713178
+0.0700165
+0.0687604
+0.067552
+0.0663939
+0.0652887
+0.0642393
+0.0632482
+0.0623063
+0.0614278
+0.0606157
+0.0598728
+0.0592017
+0.0586049
+0.0580846
+0.0576429
+0.0572788
+0.0569919
+0.0567547
+0.0561462
+0.0556174
+0.0551674
+0.0547763
+0.0531323
+0.0515138
+0.0499391
+0.0484122
+0.046706
+0.0447508
+0.042815
+0.0409048
+0.0390242
+0.0371775
+0.0353701
+0.0336083
+0.0318997
+0.0302533
+0.0286798
+0.0271919
+0.0258044
+0.0245317
+0.0233592
+0.0223406
+0.0214976
+0.0208403
+0.0198162
+0.0186375
+0.0176225
+0.0168187
+0.0162653
+0.0159931
+0.0159674
+0.0162331
+0.016755
+0.0175225
+0.0179147
+0.0177737
+0.0179017
+0.0182931
+0.0189314
+0.0197613
+0.0207752
+0.0219615
+0.0232934
+0.0247346
+0.0262796
+0.0279111
+0.0296149
+0.0313791
+0.0331462
+0.0345898
+0.0361015
+0.0376733
+0.0393044
+0.0409877
+0.0427171
+0.0444871
+0.0462931
+0.046772
+0.0470136
+0.0473553
+0.0477952
+0.0483304
+0.0776842
+0.0773733
+0.0771235
+0.0769353
+0.0766552
+0.0764214
+0.0762497
+0.0761408
+0.0760948
+0.0761119
+0.0761919
+0.0763348
+0.0765401
+0.0768074
+0.0771274
+0.0757358
+0.0743828
+0.0730704
+0.0718009
+0.0705765
+0.0693997
+0.068273
+0.0671988
+0.0661797
+0.0652124
+0.064299
+0.063448
+0.0626621
+0.0619438
+0.0612954
+0.0607191
+0.0602171
+0.0597911
+0.0594403
+0.0591638
+0.0587533
+0.0581658
+0.0576555
+0.0572181
+0.0558458
+0.0542199
+0.0524185
+0.0504046
+0.048406
+0.0464229
+0.0444541
+0.0425062
+0.0405817
+0.0386853
+0.0368217
+0.0349959
+0.0332143
+0.0314843
+0.029815
+0.0282171
+0.0267034
+0.0252891
+0.0239543
+0.0227521
+0.021705
+0.0208363
+0.0201692
+0.0190646
+0.0178354
+0.0167892
+0.0159342
+0.0153465
+0.0150577
+0.0150398
+0.0153216
+0.0158957
+0.0167023
+0.0170446
+0.0168963
+0.0170309
+0.0174418
+0.0180812
+0.018949
+0.020018
+0.0212466
+0.0226212
+0.0241167
+0.0257042
+0.0273701
+0.0291055
+0.0308989
+0.0326636
+0.0341276
+0.0356589
+0.0372494
+0.0388983
+0.0405984
+0.0423437
+0.0441287
+0.0459488
+0.0474985
+0.0477364
+0.048073
+0.0485064
+0.0490338
+0.0787883
+0.0784818
+0.0782355
+0.07805
+0.0779225
+0.0778304
+0.0776619
+0.0775549
+0.0775098
+0.0775265
+0.0776051
+0.0777454
+0.077947
+0.0782095
+0.0785322
+0.0774504
+0.0761279
+0.0748461
+0.0736072
+0.0724134
+0.0712669
+0.0701702
+0.0691254
+0.068135
+0.0671903
+0.0663041
+0.0654792
+0.064718
+0.0640227
+0.0633956
+0.0628386
+0.0623536
+0.0619423
+0.0616037
+0.0613371
+0.0607652
+0.0601973
+0.0597043
+0.0583947
+0.0563388
+0.0542935
+0.0522585
+0.0502319
+0.0482197
+0.0462237
+0.0442461
+0.0422895
+0.040357
+0.0384521
+0.0365793
+0.0347437
+0.0329493
+0.0312047
+0.0295197
+0.0279051
+0.0263737
+0.0249231
+0.0235672
+0.0223442
+0.021277
+0.0203901
+0.0197079
+0.0185242
+0.0172566
+0.016173
+0.0152835
+0.0146699
+0.0143674
+0.0143487
+0.0146438
+0.0152511
+0.016111
+0.0163815
+0.0162272
+0.0163673
+0.0167944
+0.0174576
+0.018341
+0.0194292
+0.0206928
+0.0221018
+0.0236275
+0.0252493
+0.0269516
+0.0287203
+0.0305437
+0.0323226
+0.0338013
+0.0353467
+0.0369507
+0.0386123
+0.0403245
+0.0420811
+0.0438768
+0.0457069
+0.0475676
+0.0485474
+0.0488784
+0.0493047
+0.0498237
+0.0799289
+0.0796268
+0.0793841
+0.0792012
+0.0790743
+0.0790006
+0.0789875
+0.0790045
+0.0789602
+0.0789766
+0.0790537
+0.0791915
+0.0793894
+0.0796471
+0.0799641
+0.0791885
+0.0778955
+0.0766432
+0.0754339
+0.0742694
+0.0731521
+0.072084
+0.0710674
+0.0700993
+0.069181
+0.0683206
+0.0675204
+0.0667824
+0.0661089
+0.0655017
+0.0649628
+0.0644938
+0.0640962
+0.0637691
+0.0634095
+0.062789
+0.0622396
+0.0604021
+0.0583336
+0.05627
+0.0542163
+0.0521738
+0.0501437
+0.0481278
+0.0461278
+0.0441459
+0.0421847
+0.0402471
+0.0383368
+0.0364581
+0.0346161
+0.0328146
+0.0310625
+0.0293694
+0.027746
+0.0262053
+0.0247407
+0.0233784
+0.0221465
+0.0210692
+0.0201732
+0.0194833
+0.0182328
+0.0169433
+0.0158384
+0.014929
+0.0143001
+0.0139896
+0.0139705
+0.0142734
+0.0148958
+0.0157991
+0.0159675
+0.0158091
+0.0159529
+0.0163878
+0.0170431
+0.0179435
+0.0190544
+0.0203414
+0.0217731
+0.0233203
+0.024962
+0.0266827
+0.0284681
+0.0303066
+0.0321276
+0.0336149
+0.0351685
+0.0367802
+0.0384493
+0.0401684
+0.0419316
+0.0437334
+0.0455693
+0.0474353
+0.049328
+0.0497673
+0.050186
+0.050696
+0.0811094
+0.0808118
+0.0805726
+0.0803924
+0.0802694
+0.0801967
+0.0801839
+0.0802309
+0.0803376
+0.0804602
+0.0805359
+0.0806711
+0.0808654
+0.0811185
+0.0814297
+0.0809486
+0.0796841
+0.0784604
+0.0772795
+0.0761433
+0.0750538
+0.0740132
+0.0730233
+0.0720763
+0.0711835
+0.0703476
+0.0695706
+0.0688547
+0.0682016
+0.0676132
+0.0670912
+0.0666372
+0.0662526
+0.0659361
+0.0654249
+0.0645806
+0.0624928
+0.0604124
+0.05834
+0.0562766
+0.0542232
+0.0521809
+0.0501511
+0.0481355
+0.0461359
+0.0441543
+0.0421935
+0.0402564
+0.0383465
+0.0364683
+0.0346268
+0.0328259
+0.0310745
+0.029382
+0.0277594
+0.0261936
+0.0247181
+0.0233553
+0.0221258
+0.021048
+0.0201503
+0.0194589
+0.0181954
+0.0169004
+0.0157617
+0.0148476
+0.0142151
+0.0139027
+0.0138725
+0.0141775
+0.0148039
+0.0157094
+0.0158156
+0.0156558
+0.0158009
+0.01624
+0.0169009
+0.0178085
+0.0189274
+0.0202224
+0.021662
+0.0232166
+0.0248652
+0.0265922
+0.0283832
+0.0302269
+0.0320793
+0.0335688
+0.0351195
+0.036733
+0.0384037
+0.0401245
+0.0418892
+0.0436925
+0.0455297
+0.047397
+0.049291
+0.0507353
+0.0511461
+0.0516466
+0.0823313
+0.0820381
+0.0818025
+0.081625
+0.0815057
+0.0814343
+0.0814216
+0.0814679
+0.081573
+0.0817367
+0.0819586
+0.0821825
+0.0823733
+0.0826217
+0.0829273
+0.0827292
+0.0814923
+0.0802962
+0.0791427
+0.0780336
+0.0769709
+0.0759565
+0.0749877
+0.0740652
+0.0731967
+0.072384
+0.0716292
+0.070934
+0.0703003
+0.0697296
+0.0692236
+0.0687836
+0.068411
+0.0680996
+0.0667357
+0.0646476
+0.0625665
+0.0604931
+0.0584269
+0.0563655
+0.0543142
+0.0522741
+0.0502468
+0.0482338
+0.0462369
+0.0442584
+0.0423007
+0.0403671
+0.038461
+0.0365868
+0.0347496
+0.0329557
+0.0312124
+0.0295288
+0.0279145
+0.026355
+0.0248892
+0.0235362
+0.0223167
+0.0212486
+0.0203597
+0.0196757
+0.0183767
+0.0170954
+0.0159706
+0.0150692
+0.0144464
+0.0141392
+0.0141095
+0.0144095
+0.0150262
+0.015919
+0.015934
+0.0157753
+0.0159194
+0.0163582
+0.0170288
+0.0179299
+0.0190416
+0.0203294
+0.0217619
+0.0233126
+0.0249594
+0.0266817
+0.0284672
+0.0303058
+0.0321537
+0.0336399
+0.0351874
+0.0367979
+0.0384658
+0.0401839
+0.0419461
+0.043747
+0.0455821
+0.0474473
+0.0493394
+0.0512552
+0.0521758
+0.0526665
+0.0835927
+0.0833039
+0.083072
+0.0828972
+0.0827801
+0.0827113
+0.0826989
+0.0827444
+0.0828479
+0.0830091
+0.0832276
+0.0835031
+0.0838349
+0.0841551
+0.0844551
+0.084529
+0.0833189
+0.0821494
+0.0810223
+0.0799393
+0.0789022
+0.077913
+0.0769638
+0.0760653
+0.0752198
+0.0744293
+0.0736954
+0.0730199
+0.0724044
+0.0718504
+0.0713595
+0.0709328
+0.0705715
+0.0689615
+0.0668711
+0.0647873
+0.0627108
+0.0606423
+0.0585814
+0.0565256
+0.0544803
+0.0524467
+0.0504264
+0.0484208
+0.0464319
+0.0444621
+0.0425138
+0.0405903
+0.0386952
+0.0368329
+0.0350087
+0.0332287
+0.0315006
+0.0298333
+0.0282364
+0.0266959
+0.0252476
+0.0239095
+0.0227042
+0.0216541
+0.0207825
+0.0201128
+0.0188131
+0.0175636
+0.0164709
+0.0155984
+0.0149976
+0.0147019
+0.0146733
+0.014962
+0.0155568
+0.0164209
+0.016322
+0.0161671
+0.0163077
+0.0167352
+0.0173773
+0.0182613
+0.0193539
+0.0206222
+0.0220357
+0.0235684
+0.0251985
+0.0269083
+0.0286836
+0.0305129
+0.0323764
+0.0338528
+0.035391
+0.0369927
+0.0386522
+0.0403624
+0.0421171
+0.043911
+0.0457395
+0.0475986
+0.0494848
+0.0513952
+0.0531705
+0.0535743
+0.084892
+0.0846076
+0.0843792
+0.0842072
+0.0840919
+0.0840261
+0.0840138
+0.0840587
+0.0841605
+0.0843192
+0.0845343
+0.0848056
+0.0851323
+0.085514
+0.0859498
+0.086347
+0.0851627
+0.0840189
+0.0829171
+0.0818592
+0.0808468
+0.0798774
+0.0789512
+0.0780756
+0.0772521
+0.0764826
+0.0757686
+0.0751117
+0.0745135
+0.0739753
+0.0734986
+0.0730844
+0.0712524
+0.0691619
+0.0670777
+0.0650006
+0.0629311
+0.0608701
+0.0588171
+0.0567698
+0.0547337
+0.0527099
+0.0507
+0.0487057
+0.046729
+0.0447722
+0.042838
+0.0409298
+0.0390512
+0.0372067
+0.0354017
+0.033642
+0.0319353
+0.030291
+0.0287157
+0.0271962
+0.0257731
+0.0244637
+0.0232871
+0.0222645
+0.0214178
+0.0207686
+0.0194874
+0.0182841
+0.0172371
+0.0164054
+0.0158353
+0.0155555
+0.0155285
+0.0158015
+0.0163659
+0.0171751
+0.0169834
+0.0168349
+0.01697
+0.0173682
+0.0179878
+0.0188431
+0.0199039
+0.0211392
+0.0225203
+0.0240221
+0.0256233
+0.0273065
+0.0290575
+0.0308646
+0.0327187
+0.034205
+0.035728
+0.0373152
+0.038961
+0.0406582
+0.0424007
+0.0441831
+0.0460007
+0.0478497
+0.0497264
+0.0516278
+0.0535514
+0.0544426
+0.0862273
+0.0859473
+0.0857225
+0.0855532
+0.0854397
+0.085375
+0.0853629
+0.0854071
+0.0855073
+0.0856635
+0.0858753
+0.0861423
+0.086464
+0.0868398
+0.087269
+0.0877507
+0.0870226
+0.0859035
+0.0848262
+0.0837924
+0.0828037
+0.0818527
+0.0809491
+0.0800953
+0.0792928
+0.0785433
+0.0778482
+0.0772091
+0.0766272
+0.076104
+0.0756406
+0.0736025
+0.0715136
+0.0694309
+0.067355
+0.0652867
+0.0632266
+0.0611756
+0.0591331
+0.0570971
+0.0550731
+0.0530622
+0.0510662
+0.0490863
+0.0471249
+0.0451847
+0.0432683
+0.0413792
+0.0395212
+0.037699
+0.035918
+0.0341846
+0.0325064
+0.0308925
+0.029343
+0.0278574
+0.02647
+0.0251968
+0.0240561
+0.0230676
+0.0222515
+0.0216273
+0.0203761
+0.0192284
+0.0182307
+0.0174445
+0.0169072
+0.0166432
+0.0166195
+0.0168749
+0.0173983
+0.0181569
+0.0178478
+0.0177063
+0.0178348
+0.0182275
+0.0188348
+0.0196533
+0.0206725
+0.0218644
+0.0232024
+0.0246627
+0.0262248
+0.0278718
+0.0295893
+0.0313658
+0.0331919
+0.0346922
+0.0361948
+0.0377623
+0.0393894
+0.0410689
+0.0427947
+0.0445613
+0.0463642
+0.0481992
+0.0500628
+0.0519519
+0.0538639
+0.0553733
+0.087597
+0.0873215
+0.0871002
+0.0869336
+0.0868219
+0.0867582
+0.0867464
+0.0867898
+0.0868884
+0.0870421
+0.0872506
+0.0875134
+0.0878301
+0.0882
+0.0886226
+0.0890971
+0.0888975
+0.0878023
+0.0867487
+0.085738
+0.084768
+0.0838387
+0.0829568
+0.0821238
+0.0813414
+0.0806109
+0.0799338
+0.0793114
+0.0787451
+0.0780979
+0.0760062
+0.0739203
+0.0718406
+0.0697676
+0.0677021
+0.0656447
+0.0635962
+0.0615575
+0.0595261
+0.0575036
+0.0554938
+0.0534983
+0.0515186
+0.0495567
+0.0476147
+0.0456952
+0.0438012
+0.0419361
+0.0401039
+0.0383095
+0.0365582
+0.0348566
+0.0332053
+0.0316175
+0.030102
+0.0286558
+0.0273089
+0.0260768
+0.0249763
+0.0240257
+0.0232432
+0.0226464
+0.0214522
+0.0203271
+0.0193788
+0.0186409
+0.0181391
+0.0178933
+0.0178702
+0.018108
+0.0185975
+0.0192723
+0.0189268
+0.0187934
+0.0189145
+0.0192853
+0.0198879
+0.0206649
+0.0216366
+0.0227781
+0.0240653
+0.0254762
+0.0269913
+0.0285941
+0.0302707
+0.0320094
+0.0338007
+0.0353089
+0.0367862
+0.0383296
+0.0399336
+0.0415911
+0.0432961
+0.0450431
+0.0468274
+0.0486449
+0.050492
+0.0523657
+0.0542631
+0.0561818
+0.0889996
+0.0887285
+0.0885107
+0.0883467
+0.0882369
+0.0881742
+0.0881625
+0.0882052
+0.0883023
+0.0884535
+0.0886587
+0.0889173
+0.089229
+0.0895932
+0.0900092
+0.0904764
+0.0907866
+0.0897145
+0.0886835
+0.0876952
+0.0867426
+0.0858346
+0.0849734
+0.0841605
+0.0833971
+0.0826848
+0.0820248
+0.0814185
+0.0805463
+0.0784587
+0.0763769
+0.0743013
+0.0722325
+0.0701712
+0.0681179
+0.0660735
+0.0640387
+0.0620133
+0.0599946
+0.0579884
+0.0559961
+0.0540191
+0.0520592
+0.0501185
+0.0481991
+0.0463039
+0.0444358
+0.0425985
+0.0407961
+0.0390328
+0.0373076
+0.0356334
+0.0340179
+0.0324698
+0.030996
+0.0295935
+0.0282913
+0.0271039
+0.0260468
+0.0251367
+0.0243899
+0.0238219
+0.0226542
+0.0215862
+0.0206957
+0.0200064
+0.0195397
+0.0193117
+0.0192893
+0.0195098
+0.0199657
+0.0205055
+0.0201866
+0.0200616
+0.0201751
+0.0205231
+0.0210941
+0.02185
+0.0227712
+0.0238585
+0.0250903
+0.0264465
+0.027909
+0.029462
+0.0310918
+0.032787
+0.034538
+0.0360483
+0.0374966
+0.0390119
+0.0405889
+0.0422207
+0.0439012
+0.045625
+0.0473874
+0.0491842
+0.0510119
+0.0528671
+0.0547471
+0.0566495
+0.0904336
+0.0901667
+0.0899524
+0.0897911
+0.089683
+0.0896213
+0.0896098
+0.0896519
+0.0897474
+0.0898962
+0.090098
+0.0903525
+0.0906593
+0.0910178
+0.0914273
+0.0918873
+0.092397
+0.0916391
+0.09063
+0.0896596
+0.0887273
+0.0878399
+0.0869985
+0.0862047
+0.0854596
+0.0847646
+0.0841209
+0.083038
+0.0809554
+0.0788786
+0.0768082
+0.0747446
+0.0726885
+0.0706404
+0.0686012
+0.0665716
+0.0645525
+0.0625399
+0.0605388
+0.0585513
+0.0565788
+0.0546229
+0.0526855
+0.0507687
+0.0488749
+0.0470069
+0.0451679
+0.0433593
+0.0415826
+0.0398472
+0.0381586
+0.0365234
+0.034949
+0.0334442
+0.0320152
+0.0306594
+0.0294044
+0.0282637
+0.0272517
+0.0263832
+0.0256727
+0.0251337
+0.0239913
+0.0229855
+0.0221513
+0.0215088
+0.0210754
+0.0208642
+0.0208425
+0.0210467
+0.0214708
+0.0218889
+0.0215908
+0.0214739
+0.02158
+0.0219057
+0.0224415
+0.0231729
+0.0240522
+0.025084
+0.0262585
+0.0275573
+0.0289637
+0.0304629
+0.0320419
+0.0336893
+0.0353957
+0.0369031
+0.0383191
+0.0398031
+0.04135
+0.0429529
+0.0446058
+0.0463034
+0.0480409
+0.0498142
+0.0516195
+0.0534536
+0.0553137
+0.0571973
+0.0918974
+0.0916348
+0.0914239
+0.0912652
+0.0911588
+0.0910982
+0.0910868
+0.0911282
+0.0912222
+0.0913686
+0.0915672
+0.0918176
+0.0921195
+0.0924723
+0.0928755
+0.0933283
+0.0938301
+0.0935754
+0.0925875
+0.0916335
+0.0907216
+0.0898538
+0.0890315
+0.0882559
+0.0871461
+0.0859986
+0.0848921
+0.0834924
+0.0814214
+0.0793568
+0.0772992
+0.0752491
+0.0732071
+0.071174
+0.0691505
+0.0671375
+0.0651331
+0.0631382
+0.0611567
+0.0591899
+0.0572394
+0.0553069
+0.0533943
+0.0515039
+0.0496382
+0.0477962
+0.0459822
+0.0442024
+0.042461
+0.0407629
+0.0391139
+0.0375203
+0.0359896
+0.0345301
+0.033148
+0.0318405
+0.0306339
+0.0295408
+0.028574
+0.0277469
+0.0270723
+0.0265406
+0.0254471
+0.0245011
+0.0237203
+0.0231214
+0.0227188
+0.022523
+0.022502
+0.0226913
+0.0230858
+0.023396
+0.0231173
+0.0230082
+0.0231073
+0.0234117
+0.0239139
+0.0246015
+0.0254512
+0.0264285
+0.0275456
+0.0287864
+0.0301356
+0.0315792
+0.0331049
+0.0347019
+0.0363609
+0.0378656
+0.0392468
+0.040697
+0.0422111
+0.0437825
+0.0454053
+0.047074
+0.0487841
+0.0505313
+0.0523119
+0.0541226
+0.0559604
+0.0578229
+0.0933896
+0.0931312
+0.0929237
+0.0927676
+0.0926629
+0.0926033
+0.0925921
+0.0926328
+0.0927252
+0.0928693
+0.0930647
+0.0933111
+0.0936082
+0.0939554
+0.0943522
+0.094798
+0.0952921
+0.0955227
+0.0945518
+0.093617
+0.0926869
+0.091399
+0.090146
+0.0889293
+0.0877504
+0.0866109
+0.0855124
+0.0840015
+0.0819434
+0.0798923
+0.0778488
+0.0758136
+0.0737872
+0.0717706
+0.0697644
+0.0677688
+0.0657808
+0.0638062
+0.0618461
+0.0599019
+0.0579754
+0.0560682
+0.0541825
+0.0523155
+0.0504738
+0.048661
+0.0468805
+0.0451361
+0.0434321
+0.0417736
+0.0401661
+0.038616
+0.0371304
+0.0357176
+0.0343833
+0.0331245
+0.0319664
+0.0309204
+0.0299982
+0.0292114
+0.0285714
+0.0280352
+0.0270023
+0.0261127
+0.0253815
+0.0248227
+0.0244481
+0.0242663
+0.0242459
+0.0244217
+0.0247894
+0.0250045
+0.0247439
+0.024642
+0.0247344
+0.0250191
+0.0254896
+0.0261358
+0.0269372
+0.0278624
+0.0289242
+0.0301082
+0.0314006
+0.0327886
+0.0342605
+0.035806
+0.037416
+0.0389231
+0.0402725
+0.041687
+0.0431664
+0.0447042
+0.0462947
+0.0479325
+0.049613
+0.051332
+0.0530857
+0.0548709
+0.0566845
+0.0585239
+0.0949089
+0.0946547
+0.0944506
+0.0942969
+0.094194
+0.0941353
+0.0941243
+0.0941644
+0.0942553
+0.094397
+0.0945892
+0.0948317
+0.095124
+0.0954657
+0.0958563
+0.0962951
+0.0967816
+0.0973149
+0.0959641
+0.0946194
+0.0933068
+0.0920276
+0.0907832
+0.0895752
+0.0884049
+0.087274
+0.0861839
+0.0845643
+0.0825202
+0.0804838
+0.0784558
+0.0764367
+0.0744273
+0.0724284
+0.070441
+0.0684617
+0.0664944
+0.0645416
+0.0626045
+0.0606847
+0.058783
+0.0568976
+0.0550348
+0.053197
+0.0513869
+0.0496075
+0.0478622
+0.046155
+0.04449
+0.0428725
+0.0413077
+0.0398021
+0.0383626
+0.0369968
+0.0357103
+0.0345
+0.0333897
+0.0323896
+0.0315104
+0.0307624
+0.0301552
+0.0296165
+0.0286407
+0.0278036
+0.027118
+0.0265957
+0.0262464
+0.0260772
+0.0260575
+0.0262211
+0.0265645
+0.0266959
+0.0264519
+0.0263566
+0.0264431
+0.0267096
+0.0271508
+0.0277584
+0.0285142
+0.0293898
+0.0303983
+0.031527
+0.0327635
+0.034096
+0.0355138
+0.037007
+0.0385669
+0.0400607
+0.0413792
+0.0427664
+0.0442097
+0.0457124
+0.047269
+0.0488741
+0.0505233
+0.0522123
+0.0539375
+0.0556953
+0.0574829
+0.0592976
+0.0964541
+0.0962039
+0.0960031
+0.095852
+0.0957507
+0.095693
+0.0956822
+0.0957216
+0.095811
+0.0959504
+0.0961396
+0.0963781
+0.0966658
+0.097002
+0.0973864
+0.0978184
+0.0982973
+0.0979789
+0.0966126
+0.095277
+0.0939736
+0.0927036
+0.0914685
+0.0902696
+0.0891085
+0.0879865
+0.0869054
+0.0851797
+0.0831508
+0.0811302
+0.0791187
+0.077117
+0.0751258
+0.0731461
+0.0711764
+0.069217
+0.0672718
+0.0653422
+0.0634275
+0.0615285
+0.0596494
+0.0577923
+0.0559593
+0.0541529
+0.0523758
+0.0506312
+0.0489225
+0.0472535
+0.0456287
+0.0440529
+0.0425317
+0.0410709
+0.0396774
+0.0383585
+0.0371192
+0.0359564
+0.0348924
+0.0339367
+0.0330986
+0.0323873
+0.0318112
+0.0312714
+0.0303488
+0.0295601
+0.0289163
+0.028427
+0.0281005
+0.0279421
+0.0279234
+0.0280762
+0.0283976
+0.0284555
+0.0282268
+0.0281375
+0.0282185
+0.0284684
+0.0288827
+0.0294546
+0.0301679
+0.0309968
+0.0319547
+0.0330302
+0.0342124
+0.0354906
+0.0368548
+0.0382957
+0.0398052
+0.0412834
+0.042564
+0.0439166
+0.0453348
+0.0468015
+0.048323
+0.0498943
+0.0515108
+0.0531685
+0.0548635
+0.0565926
+0.0583527
+0.0601411
+0.0980238
+0.0977777
+0.0975801
+0.0974314
+0.0973318
+0.097275
+0.0972644
+0.0973031
+0.0973911
+0.0975283
+0.0977144
+0.0979491
+0.0982321
+0.0985631
+0.0989414
+0.0993666
+0.0998381
+0.0986628
+0.0973061
+0.0959802
+0.0946864
+0.0934262
+0.0922007
+0.0910115
+0.0898599
+0.0887475
+0.0876757
+0.0858467
+0.0838338
+0.0818302
+0.0798363
+0.077853
+0.0758812
+0.0739212
+0.0719699
+0.0700327
+0.0681077
+0.0661979
+0.064306
+0.0624337
+0.0605827
+0.0587551
+0.0569531
+0.0551792
+0.0534363
+0.0517274
+0.0500561
+0.0484263
+0.0468422
+0.0453086
+0.043831
+0.042415
+0.0410671
+0.0397943
+0.0385888
+0.0374716
+0.0364519
+0.0355382
+0.0347387
+0.0340617
+0.0335144
+0.0329883
+0.0321155
+0.0313714
+0.0307654
+0.0303061
+0.03
+0.0298503
+0.0298329
+0.0299759
+0.0302772
+0.0302625
+0.0300506
+0.0299726
+0.0300487
+0.0302835
+0.0306733
+0.0312124
+0.0318864
+0.0326718
+0.0335819
+0.0346069
+0.035737
+0.0369625
+0.0382742
+0.0396636
+0.0411229
+0.0425837
+0.0438263
+0.0451411
+0.046522
+0.0479632
+0.0494516
+0.0509881
+0.052571
+0.0541963
+0.0558602
+0.0575593
+0.0592908
+0.0610517
+0.0996171
+0.0993749
+0.0991805
+0.0990342
+0.0989362
+0.0988803
+0.0988699
+0.098908
+0.0989945
+0.0991295
+0.0993125
+0.0995435
+0.099822
+0.100148
+0.10052
+0.100939
+0.100767
+0.0993903
+0.0980437
+0.0967279
+0.0954443
+0.0941941
+0.0929788
+0.0917996
+0.0906581
+0.0895556
+0.0884936
+0.0865639
+0.0845682
+0.0825823
+0.0806071
+0.0786432
+0.0766903
+0.0747468
+0.0728166
+0.0708982
+0.0689961
+0.0671116
+0.0652462
+0.0634017
+0.0615798
+0.0597827
+0.0580126
+0.0562722
+0.0545642
+0.0528918
+0.0512584
+0.049668
+0.0481248
+0.0466335
+0.0451991
+0.0438274
+0.0425243
+0.0412847
+0.040123
+0.0390497
+0.0380723
+0.0371984
+0.0364354
+0.0357904
+0.03527
+0.0347463
+0.0339195
+0.0332168
+0.0326462
+0.0322149
+0.0319283
+0.0317805
+0.0317641
+0.0318985
+0.0321818
+0.032111
+0.0319114
+0.0318528
+0.0319244
+0.0321455
+0.032513
+0.033022
+0.0336598
+0.0344047
+0.0352701
+0.0362475
+0.0373279
+0.0385028
+0.0397638
+0.0411029
+0.0425127
+0.0439547
+0.0451597
+0.0464368
+0.0477802
+0.0491846
+0.0506448
+0.0521511
+0.0536998
+0.0552919
+0.0569237
+0.0585921
+0.0602938
+0.0620263
+0.101233
+0.100994
+0.100803
+0.100659
+0.100563
+0.100508
+0.100497
+0.100535
+0.10062
+0.100753
+0.100933
+0.10116
+0.101434
+0.101755
+0.102121
+0.102533
+0.101526
+0.10016
+0.0988243
+0.0975191
+0.096246
+0.0950064
+0.0938016
+0.0926329
+0.0915018
+0.0904095
+0.089318
+0.0873303
+0.0853524
+0.0833853
+0.0814264
+0.079478
+0.0775425
+0.0756209
+0.0737134
+0.071819
+0.0699419
+0.0680836
+0.0662456
+0.0644297
+0.0626377
+0.0608718
+0.0591344
+0.0574279
+0.0557553
+0.0541197
+0.0525246
+0.0509737
+0.0494713
+0.0480218
+0.0466301
+0.0453018
+0.0440336
+0.0428344
+0.0417158
+0.0406846
+0.0397474
+0.0389111
+0.0381824
+0.0375674
+0.0370719
+0.0365499
+0.0357648
+0.0350991
+0.0345596
+0.0341524
+0.0338823
+0.0337412
+0.0337258
+0.0338524
+0.0341195
+0.0340002
+0.0338118
+0.0337648
+0.0338356
+0.0340442
+0.0343915
+0.0348731
+0.0354799
+0.0361874
+0.0370111
+0.0379436
+0.0389771
+0.0401037
+0.0413158
+0.0426062
+0.0439679
+0.0453902
+0.046558
+0.0477977
+0.0491039
+0.0504715
+0.0518955
+0.0533714
+0.0548928
+0.0564512
+0.0580505
+0.0596874
+0.0613588
+0.063062
+0.102869
+0.102635
+0.102447
+0.102305
+0.10221
+0.102156
+0.102146
+0.102183
+0.102267
+0.102397
+0.102575
+0.102798
+0.103068
+0.103383
+0.103744
+0.103711
+0.102327
+0.100972
+0.099647
+0.0983527
+0.0970905
+0.0958619
+0.0946679
+0.0935101
+0.0923897
+0.0913081
+0.0901142
+0.0881441
+0.0861807
+0.0842283
+0.0822879
+0.0803603
+0.0784466
+0.0765477
+0.0746637
+0.072794
+0.0709428
+0.0691114
+0.0673015
+0.0655148
+0.0637533
+0.0620192
+0.0603148
+0.0586427
+0.0570058
+0.0554072
+0.0538502
+0.0523386
+0.0508764
+0.0494681
+0.0481184
+0.0468261
+0.0455951
+0.044438
+0.0433609
+0.0423697
+0.0414706
+0.0406698
+0.0399731
+0.0393861
+0.0389138
+0.0383938
+0.0376472
+0.0370153
+0.0365042
+0.0361189
+0.0358636
+0.0357287
+0.0357141
+0.0358336
+0.0360861
+0.0359237
+0.0357454
+0.0357009
+0.0357682
+0.0359657
+0.0362946
+0.0367513
+0.0373311
+0.0380126
+0.0387977
+0.0396882
+0.0406774
+0.0417581
+0.0429236
+0.044167
+0.045482
+0.0468625
+0.0480155
+0.0492186
+0.0504881
+0.0518191
+0.053207
+0.0546476
+0.0561367
+0.0576705
+0.0592369
+0.0608418
+0.0624824
+0.0641558
+0.104527
+0.104296
+0.104111
+0.103971
+0.103878
+0.103825
+0.103815
+0.103851
+0.103933
+0.104062
+0.104236
+0.104456
+0.104722
+0.105032
+0.105388
+0.104541
+0.103169
+0.101825
+0.100511
+0.0992277
+0.0979768
+0.0967594
+0.0955766
+0.0944299
+0.0933206
+0.0922499
+0.0909503
+0.0889947
+0.0870503
+0.0851178
+0.0831981
+0.0812922
+0.0794009
+0.0775254
+0.0756655
+0.0738213
+0.0719964
+0.0701925
+0.0684112
+0.0666543
+0.0649237
+0.0632217
+0.0615506
+0.0599131
+0.0583118
+0.05675
+0.0552308
+0.0537581
+0.0523356
+0.0509676
+0.0496549
+0.0483967
+0.0472066
+0.0460901
+0.0450524
+0.0440992
+0.0432361
+0.0424686
+0.0418019
+0.041241
+0.0407901
+0.0402725
+0.0395613
+0.0389605
+0.0384752
+0.0381099
+0.037868
+0.0377386
+0.0377248
+0.037838
+0.0380771
+0.0378762
+0.0377071
+0.0376649
+0.0377291
+0.0379164
+0.0382285
+0.0386623
+0.039214
+0.0398748
+0.0406238
+0.0414752
+0.0424227
+0.0434601
+0.044581
+0.0457794
+0.0470494
+0.0483852
+0.0495271
+0.0506943
+0.0519277
+0.0532228
+0.054575
+0.0559804
+0.0574349
+0.058935
+0.0604773
+0.0620522
+0.0636616
+0.0653047
+0.106203
+0.105976
+0.105794
+0.105656
+0.105565
+0.105512
+0.105502
+0.105538
+0.105619
+0.105746
+0.105917
+0.106134
+0.106395
+0.106701
+0.106799
+0.10541
+0.104049
+0.102717
+0.101414
+0.100143
+0.0989036
+0.0976978
+0.0965265
+0.0953913
+0.0942932
+0.0932271
+0.091827
+0.0898904
+0.0879658
+0.0860539
+0.0841556
+0.0822718
+0.0804036
+0.0785521
+0.0767168
+0.0748985
+0.0731005
+0.0713245
+0.0695722
+0.0678454
+0.066146
+0.0644763
+0.0628385
+0.0612354
+0.0596697
+0.0581443
+0.0566626
+0.055228
+0.0538444
+0.052514
+0.0512324
+0.0500139
+0.0488632
+0.0477854
+0.0467853
+0.0458682
+0.045039
+0.0443028
+0.0436641
+0.0431274
+0.0426964
+0.0421812
+0.0415028
+0.0409305
+0.0404689
+0.0401217
+0.039892
+0.0397676
+0.0397545
+0.039862
+0.040089
+0.0398534
+0.0396928
+0.0396527
+0.039714
+0.039892
+0.0401887
+0.0406016
+0.0411273
+0.0417613
+0.0424844
+0.0432992
+0.0442077
+0.0452041
+0.0462829
+0.0474383
+0.048665
+0.0499576
+0.051088
+0.0522203
+0.0534185
+0.0546782
+0.0559953
+0.0573659
+0.0587862
+0.0602526
+0.061762
+0.0633112
+0.0648933
+0.066506
+0.0963462
+0.0949508
+0.0935856
+0.0922508
+0.0909491
+0.0896821
+0.0884172
+0.0870638
+0.085745
+0.0844624
+0.0832133
+0.0819929
+0.0807485
+0.0795449
+0.0783841
+0.0772425
+0.0761117
+0.0750279
+0.073993
+0.0729651
+0.0719141
+0.0709059
+0.0699518
+0.0690541
+0.0682006
+0.0673393
+0.0664504
+0.0655719
+0.0647404
+0.0639635
+0.063248
+0.0626011
+0.0615778
+0.0605351
+0.0595548
+0.0586399
+0.0577877
+0.0569979
+0.0562822
+0.0556067
+0.0550051
+0.0544768
+0.0540322
+0.053668
+0.0533793
+0.0531793
+0.0530691
+0.0530478
+0.0531009
+0.0532441
+0.0534599
+0.0537464
+0.0541201
+0.0545793
+0.0551172
+0.05469
+0.0539449
+0.0532373
+0.0523778
+0.0515971
+0.0508926
+0.0502732
+0.0497427
+0.0493038
+0.0489592
+0.0487107
+0.0485599
+0.0485076
+0.0485543
+0.0486995
+0.0489425
+0.0492789
+0.0494527
+0.0496828
+0.0497451
+0.0497521
+0.04982
+0.0499683
+0.0501773
+0.0499456
+0.0497123
+0.0495749
+0.0495333
+0.0495707
+0.0497046
+0.0499344
+0.0502587
+0.0506756
+0.0511831
+0.0517783
+0.0524583
+0.0532199
+0.0540596
+0.0549737
+0.0559588
+0.0570111
+0.0581269
+0.0593027
+0.0605349
+0.0618202
+0.094945
+0.0935287
+0.0921426
+0.090788
+0.0894651
+0.0881767
+0.0869245
+0.0856408
+0.0842998
+0.0829949
+0.0817232
+0.0804874
+0.0792706
+0.0780443
+0.0768608
+0.0757222
+0.0745907
+0.0734844
+0.0724275
+0.0714009
+0.0703611
+0.0693304
+0.0683543
+0.0674353
+0.0665757
+0.0657127
+0.0648661
+0.063981
+0.0631344
+0.0623338
+0.0615994
+0.0609349
+0.0600607
+0.0589912
+0.0579847
+0.0570447
+0.0561687
+0.0553558
+0.0546186
+0.0539223
+0.0533022
+0.0527592
+0.0523
+0.0519206
+0.0516222
+0.0514154
+0.0513014
+0.0512793
+0.0513343
+0.0514824
+0.0517077
+0.0520038
+0.05239
+0.0528642
+0.0534173
+0.0526522
+0.0518778
+0.0511854
+0.0503653
+0.0495529
+0.0488214
+0.0481754
+0.0476215
+0.0471629
+0.0468025
+0.0465425
+0.0463846
+0.0463299
+0.0463787
+0.0465308
+0.046785
+0.0471342
+0.0473081
+0.0475485
+0.0475545
+0.0475616
+0.0476319
+0.0477869
+0.048
+0.0477905
+0.0475467
+0.047403
+0.0473594
+0.0473986
+0.0475387
+0.0477788
+0.0481176
+0.048553
+0.0490824
+0.0497028
+0.0504108
+0.0512028
+0.052075
+0.0530235
+0.0540441
+0.0551329
+0.056286
+0.0574994
+0.0587694
+0.0600925
+0.0935741
+0.0921367
+0.0907294
+0.0893537
+0.0880105
+0.0867005
+0.0854267
+0.0841905
+0.0828872
+0.0815598
+0.0802653
+0.0790067
+0.0777894
+0.076577
+0.0753705
+0.074209
+0.0730948
+0.0719746
+0.0708952
+0.0698678
+0.0688299
+0.067789
+0.0667904
+0.0658496
+0.064969
+0.0641197
+0.0632788
+0.0624211
+0.0615558
+0.0607393
+0.0599854
+0.0593028
+0.0585839
+0.0574893
+0.0564561
+0.0554902
+0.0545896
+0.0537528
+0.0529934
+0.0522754
+0.0516355
+0.0510757
+0.0506012
+0.0502081
+0.0498994
+0.0496855
+0.0495675
+0.0495447
+0.0496015
+0.0497548
+0.0499901
+0.0502964
+0.0506955
+0.0511834
+0.0515136
+0.0506271
+0.0498212
+0.0490999
+0.0483682
+0.0475217
+0.0467611
+0.0460862
+0.0455068
+0.0450267
+0.0446491
+0.0443765
+0.0442109
+0.0441535
+0.0442047
+0.0443642
+0.0446307
+0.0449939
+0.0451678
+0.0454196
+0.0453639
+0.045371
+0.045444
+0.0456064
+0.0458239
+0.0456387
+0.0453834
+0.0452328
+0.0451872
+0.0452283
+0.0453751
+0.0456266
+0.0459813
+0.0464367
+0.0469899
+0.0476376
+0.0483758
+0.0492006
+0.0501077
+0.0510926
+0.0521511
+0.0532786
+0.0544709
+0.0557239
+0.0570335
+0.0583959
+0.0922349
+0.0907763
+0.0893475
+0.0879502
+0.0865857
+0.0852551
+0.0839593
+0.0827012
+0.0814826
+0.0801563
+0.0788414
+0.0775596
+0.0763192
+0.0751223
+0.0739098
+0.072725
+0.0715877
+0.0704952
+0.0693939
+0.0683452
+0.0673122
+0.0662842
+0.0652626
+0.0642994
+0.0633974
+0.062559
+0.0617007
+0.0608679
+0.0600127
+0.0591829
+0.058409
+0.057705
+0.0570634
+0.0560315
+0.0549722
+0.0539798
+0.053054
+0.0521926
+0.0514101
+0.0506696
+0.0500092
+0.049431
+0.0489406
+0.0485341
+0.0482146
+0.0479932
+0.0478711
+0.0478474
+0.0479063
+0.048065
+0.0483108
+0.0486277
+0.0490404
+0.0495423
+0.049539
+0.0486164
+0.0477766
+0.047024
+0.0463627
+0.0455053
+0.0447119
+0.0440068
+0.0433998
+0.0428961
+0.0424995
+0.042213
+0.0420389
+0.0419785
+0.0420324
+0.0422001
+0.0424802
+0.0428588
+0.0430326
+0.043234
+0.0431733
+0.0431805
+0.0432563
+0.043427
+0.0436493
+0.0434909
+0.0432229
+0.0430648
+0.0430169
+0.0430601
+0.0432142
+0.0434783
+0.0438503
+0.0443276
+0.0449068
+0.0455841
+0.0463551
+0.0472152
+0.0481596
+0.0491836
+0.0502822
+0.0514507
+0.0526844
+0.0539789
+0.0553298
+0.0567332
+0.0908913
+0.0894488
+0.0879985
+0.0865794
+0.085193
+0.0838408
+0.082524
+0.0812437
+0.0800029
+0.0787834
+0.0774474
+0.0761481
+0.0748843
+0.073664
+0.0724828
+0.0712755
+0.0701146
+0.0690038
+0.0679225
+0.0668507
+0.0658324
+0.0648013
+0.0637704
+0.0627843
+0.0618602
+0.0610007
+0.060161
+0.0593385
+0.058511
+0.0576609
+0.0568733
+0.056142
+0.0554823
+0.0546079
+0.0535363
+0.0525173
+0.0515658
+0.050679
+0.0498728
+0.0491092
+0.0484275
+0.0478301
+0.0473231
+0.0469026
+0.046572
+0.0463427
+0.0462162
+0.0461917
+0.0462527
+0.0464171
+0.0466717
+0.0469996
+0.0474266
+0.0479452
+0.0475832
+0.046622
+0.0457456
+0.0449589
+0.0442668
+0.0435057
+0.0426752
+0.0419388
+0.0413014
+0.0407718
+0.0403543
+0.0400525
+0.039869
+0.0398053
+0.0398621
+0.0400389
+0.040334
+0.0407295
+0.0409033
+0.0410463
+0.0409827
+0.04099
+0.041069
+0.0412487
+0.0414765
+0.0413476
+0.0410656
+0.0408991
+0.0408488
+0.0408943
+0.0410565
+0.0413343
+0.0417255
+0.0422268
+0.0428345
+0.043544
+0.0443504
+0.0452486
+0.0462333
+0.047299
+0.0484404
+0.0496523
+0.0509296
+0.0522675
+0.0536615
+0.0551074
+0.0895686
+0.0881229
+0.0866839
+0.0852428
+0.0838343
+0.0824599
+0.0811214
+0.0798197
+0.0785564
+0.0773346
+0.0760886
+0.0747687
+0.0734867
+0.0722428
+0.0710447
+0.0698645
+0.0686799
+0.0675455
+0.066464
+0.0653955
+0.0643561
+0.0633386
+0.06231
+0.0613005
+0.0603536
+0.0594724
+0.0586598
+0.0578255
+0.0570018
+0.0561817
+0.0553788
+0.0546221
+0.0539438
+0.0532359
+0.0521375
+0.0511069
+0.0501291
+0.0492165
+0.0483859
+0.0475984
+0.0468948
+0.0462776
+0.0457534
+0.0453183
+0.0449761
+0.0447386
+0.0446076
+0.0445822
+0.0446453
+0.0448156
+0.0450794
+0.0454188
+0.0458604
+0.0463965
+0.0456487
+0.0446459
+0.0437299
+0.0429063
+0.0421805
+0.0415255
+0.0406545
+0.039884
+0.0392131
+0.0386549
+0.0382143
+0.0378955
+0.0377014
+0.0376341
+0.0376942
+0.0378811
+0.0381922
+0.0386072
+0.0387809
+0.0388588
+0.0387922
+0.0387995
+0.038882
+0.0390654
+0.0393056
+0.0392095
+0.038912
+0.0387363
+0.0386832
+0.0387312
+0.0389025
+0.0391956
+0.0396079
+0.0401357
+0.0407745
+0.0415192
+0.0423642
+0.0433037
+0.0443315
+0.0454419
+0.0466287
+0.0478865
+0.0492096
+0.050593
+0.052032
+0.0535219
+0.0882804
+0.0868123
+0.0853742
+0.0839422
+0.0825115
+0.0811147
+0.0797536
+0.0784301
+0.0771451
+0.0759005
+0.0746995
+0.0734257
+0.0721236
+0.0708608
+0.0696389
+0.0684654
+0.0672858
+0.0661275
+0.0650224
+0.0639733
+0.0629195
+0.0619161
+0.0608912
+0.05986
+0.05889
+0.0579865
+0.0571528
+0.0563503
+0.0555355
+0.0547409
+0.0539264
+0.0531491
+0.0524518
+0.0518377
+0.0507933
+0.0497374
+0.0487453
+0.0478096
+0.0469541
+0.0461422
+0.045416
+0.0447785
+0.0442365
+0.0437864
+0.0434321
+0.0431861
+0.0430503
+0.043024
+0.0430895
+0.0432659
+0.043539
+0.0438903
+0.0443472
+0.0448605
+0.0437384
+0.0426908
+0.0417319
+0.040868
+0.0401054
+0.0394498
+0.0386524
+0.0378422
+0.0371366
+0.0365467
+0.0360804
+0.0357425
+0.0355367
+0.0354653
+0.035529
+0.0357272
+0.0360537
+0.0364858
+0.0366664
+0.0366718
+0.0366016
+0.036609
+0.0366955
+0.0368827
+0.037137
+0.0370776
+0.0367628
+0.0365768
+0.0365205
+0.0365715
+0.0367528
+0.0370629
+0.0374986
+0.0380557
+0.0387288
+0.0395121
+0.0403991
+0.0413832
+0.0424576
+0.0436157
+0.0448509
+0.0461571
+0.0475284
+0.0489594
+0.0504449
+0.0519803
+0.086988
+0.0855373
+0.0840776
+0.0826501
+0.0812262
+0.0798069
+0.0784231
+0.0770768
+0.0757699
+0.0745032
+0.0732793
+0.0721011
+0.0707982
+0.0695159
+0.0682745
+0.0670771
+0.0659255
+0.0647527
+0.0636237
+0.0625511
+0.0615273
+0.0605008
+0.0594907
+0.0584661
+0.0574726
+0.0565465
+0.0556912
+0.0549101
+0.0541067
+0.053293
+0.0525253
+0.0517269
+0.0510102
+0.0503784
+0.0495095
+0.0484257
+0.0474061
+0.04646
+0.0455827
+0.0447459
+0.0439967
+0.0433383
+0.0427781
+0.0423124
+0.0419456
+0.0416909
+0.0415503
+0.041523
+0.0415908
+0.0417735
+0.0420564
+0.04242
+0.0428925
+0.0430146
+0.0418548
+0.0407596
+0.0397542
+0.0388464
+0.0380432
+0.0373514
+0.0366718
+0.0358168
+0.035074
+0.0344488
+0.0339537
+0.0335945
+0.0333754
+0.0332993
+0.0333672
+0.0335782
+0.0339217
+0.0343698
+0.0345615
+0.0344852
+0.0344111
+0.0344185
+0.0345095
+0.034701
+0.0349708
+0.0349529
+0.0346188
+0.0344212
+0.0343615
+0.0344156
+0.0346082
+0.0349374
+0.0353993
+0.0359889
+0.0366999
+0.0375256
+0.0384585
+0.0394909
+0.0406154
+0.0418245
+0.0431111
+0.0444684
+0.0458902
+0.0473707
+0.0489045
+0.0504868
+0.08562
+0.0842891
+0.0828185
+0.0813689
+0.0799531
+0.0785385
+0.0771319
+0.0757627
+0.0744327
+0.0731441
+0.0718978
+0.0706967
+0.0695167
+0.0682103
+0.06695
+0.0657325
+0.0645623
+0.0634157
+0.0622706
+0.0611743
+0.0601378
+0.0591329
+0.0581148
+0.0571144
+0.056105
+0.055156
+0.0542788
+0.053477
+0.0526955
+0.0518954
+0.0511382
+0.0503599
+0.0496234
+0.0489737
+0.0482911
+0.0471792
+0.0461321
+0.0451593
+0.0442645
+0.0434069
+0.0426427
+0.0419631
+0.0413843
+0.0409027
+0.0405232
+0.0402595
+0.0401138
+0.0400855
+0.0401558
+0.040345
+0.0406378
+0.041014
+0.0415025
+0.0412024
+0.0399906
+0.038856
+0.0378
+0.0368441
+0.0359962
+0.0352643
+0.0346557
+0.0338121
+0.033028
+0.0323633
+0.0318357
+0.0314523
+0.0312182
+0.0311368
+0.0312094
+0.0314349
+0.0317977
+0.0322637
+0.0324395
+0.0322991
+0.0322205
+0.0322281
+0.0323242
+0.0325205
+0.0328026
+0.0328369
+0.0324811
+0.0322704
+0.0322067
+0.0322645
+0.0324698
+0.0328205
+0.0333117
+0.0339376
+0.0346907
+0.0355631
+0.0365461
+0.037631
+0.0388095
+0.0400731
+0.0414141
+0.0428253
+0.0442998
+0.0458317
+0.0474153
+0.0490456
+0.0842868
+0.0829345
+0.0815988
+0.0801272
+0.078689
+0.0772862
+0.075882
+0.0744898
+0.0731366
+0.0718249
+0.0705567
+0.0693329
+0.068157
+0.0669508
+0.0656665
+0.064431
+0.0632401
+0.0621002
+0.0609601
+0.059846
+0.0587861
+0.0577899
+0.05679
+0.0557813
+0.0547856
+0.0538187
+0.0529193
+0.0520966
+0.0513389
+0.0505541
+0.0497764
+0.0490448
+0.0482861
+0.0476162
+0.0470341
+0.0460034
+0.0449289
+0.0439294
+0.043009
+0.0421259
+0.0413402
+0.0406535
+0.040056
+0.0395546
+0.039162
+0.038889
+0.0387382
+0.038711
+0.0387914
+0.0389873
+0.0392902
+0.0396791
+0.0401839
+0.0394287
+0.0381606
+0.0369789
+0.0358731
+0.0348644
+0.0339672
+0.0331906
+0.0325431
+0.0318318
+0.0309982
+0.0302925
+0.0297283
+0.0293173
+0.029066
+0.0289786
+0.0290566
+0.0292986
+0.0296834
+0.0301698
+0.0302572
+0.0301138
+0.03003
+0.0300377
+0.0301396
+0.0303415
+0.0306363
+0.0307314
+0.0303509
+0.0301253
+0.0300571
+0.030119
+0.0303389
+0.0307139
+0.0312383
+0.0319049
+0.0327048
+0.0336287
+0.0346666
+0.0358086
+0.037045
+0.0383668
+0.0397654
+0.041233
+0.0427625
+0.0443475
+0.045981
+0.0476452
+0.08299
+0.0816162
+0.0802786
+0.0789267
+0.0774663
+0.0760409
+0.0746526
+0.0732603
+0.071884
+0.0705489
+0.0692574
+0.068012
+0.0668133
+0.0656653
+0.0644318
+0.0631722
+0.0619644
+0.0608034
+0.059694
+0.0585653
+0.0574862
+0.056467
+0.0555156
+0.0544879
+0.0535198
+0.0525363
+0.051617
+0.0507732
+0.0500112
+0.0492526
+0.04847
+0.0477589
+0.0470024
+0.0463139
+0.0457201
+0.0448921
+0.0438022
+0.0427765
+0.0418307
+0.0409222
+0.0401129
+0.0394049
+0.0387881
+0.0382801
+0.0378743
+0.0375919
+0.0374359
+0.0374077
+0.0374899
+0.0376926
+0.0380205
+0.0384229
+0.0387244
+0.0376989
+0.0363705
+0.0351287
+0.0339782
+0.0329115
+0.0319595
+0.0311328
+0.0304417
+0.029881
+0.0289913
+0.0282399
+0.0276338
+0.0271911
+0.02692
+0.0268256
+0.0269098
+0.027171
+0.027581
+0.0280906
+0.0280759
+0.0279282
+0.0278396
+0.0278474
+0.027956
+0.0281643
+0.0284738
+0.0286386
+0.0282299
+0.0279872
+0.0279139
+0.0279806
+0.0282172
+0.0286199
+0.029182
+0.0298944
+0.0307468
+0.0317277
+0.0328258
+0.0340296
+0.0353283
+0.036712
+0.0381713
+0.0396979
+0.0412843
+0.04292
+0.0445906
+0.0463045
+0.0817313
+0.080336
+0.0789768
+0.0776556
+0.0762869
+0.074839
+0.073428
+0.0720559
+0.0706771
+0.0693188
+0.0680039
+0.0667351
+0.065515
+0.0643441
+0.0632273
+0.0619653
+0.0607336
+0.0595569
+0.0584294
+0.0573241
+0.0562332
+0.0551994
+0.0542258
+0.0532533
+0.0522681
+0.0513085
+0.0503763
+0.0495114
+0.0487297
+0.0479988
+0.0472263
+0.0464962
+0.0457875
+0.0450805
+0.0444702
+0.0438528
+0.0427582
+0.0417068
+0.0407362
+0.0398027
+0.0389702
+0.0382412
+0.0376053
+0.0370881
+0.0366723
+0.0363806
+0.0362194
+0.0361902
+0.036274
+0.0364834
+0.0368221
+0.0368921
+0.0365563
+0.0359629
+0.0346266
+0.0333197
+0.0321094
+0.0309903
+0.0299774
+0.0290945
+0.0283537
+0.0277664
+0.027013
+0.0262092
+0.0255554
+0.0250761
+0.0247818
+0.0246793
+0.0247708
+0.025053
+0.0254936
+0.0260296
+0.0258961
+0.0257387
+0.0256492
+0.0256571
+0.0257736
+0.0259893
+0.026316
+0.0265617
+0.0261205
+0.025858
+0.0257786
+0.0258509
+0.0261068
+0.0265416
+0.0271467
+0.0279112
+0.0288222
+0.0298664
+0.0310304
+0.0323012
+0.0336667
+0.0351159
+0.0366388
+0.0382266
+0.0398644
+0.0415423
+0.0432661
+0.0450305
+0.0804742
+0.0790958
+0.0777149
+0.0763719
+0.0750688
+0.0736827
+0.0722491
+0.0708542
+0.0695004
+0.0681369
+0.0667988
+0.0655066
+0.0642631
+0.0630713
+0.0619316
+0.0608134
+0.0595578
+0.0583575
+0.0572159
+0.0561261
+0.0550233
+0.0539748
+0.0529951
+0.0520724
+0.0510738
+0.0501415
+0.0491926
+0.0483065
+0.047505
+0.0467923
+0.046053
+0.0453043
+0.0446368
+0.0439218
+0.0432952
+0.0427717
+0.0417808
+0.0407269
+0.0397324
+0.0387748
+0.0379197
+0.0371702
+0.0365157
+0.0359828
+0.0355647
+0.0352639
+0.0350975
+0.0350675
+0.0351527
+0.0353687
+0.0352252
+0.0347477
+0.034391
+0.0340723
+0.032902
+0.0315592
+0.0302785
+0.029106
+0.0280265
+0.02708
+0.0262824
+0.0256477
+0.0250701
+0.0242018
+0.0234974
+0.0229752
+0.0226537
+0.0225414
+0.0226416
+0.0229448
+0.0234249
+0.0239917
+0.0237184
+0.0235495
+0.0234588
+0.0234669
+0.0235928
+0.0238172
+0.0241524
+0.0245045
+0.0240256
+0.02374
+0.0236535
+0.0237324
+0.0240108
+0.0244828
+0.0251376
+0.0259613
+0.0269383
+0.0280528
+0.0292889
+0.0306321
+0.0320687
+0.0335869
+0.0351761
+0.0368159
+0.038502
+0.0402368
+0.0420142
+0.043829
+0.0792381
+0.0778517
+0.0764949
+0.0751301
+0.0738051
+0.0725221
+0.0711181
+0.0697006
+0.068324
+0.0669907
+0.0656446
+0.0643293
+0.0630626
+0.0618476
+0.0606873
+0.0595824
+0.0584406
+0.0572169
+0.056052
+0.0549499
+0.0538753
+0.052804
+0.0518033
+0.0508681
+0.0499445
+0.0489933
+0.0480715
+0.0471722
+0.0463511
+0.0456204
+0.0449451
+0.0441889
+0.0435182
+0.0428414
+0.0422012
+0.041664
+0.0408974
+0.0398202
+0.0388264
+0.0378458
+0.0369693
+0.0362002
+0.0355278
+0.0349799
+0.0345548
+0.0342451
+0.0340738
+0.0340428
+0.0341352
+0.0337397
+0.0331114
+0.0326095
+0.0322291
+0.0319539
+0.0311533
+0.0298488
+0.0284986
+0.0272502
+0.0261135
+0.025095
+0.0242322
+0.0235423
+0.0230408
+0.022229
+0.0214657
+0.0208928
+0.0205387
+0.0204148
+0.0205254
+0.0208534
+0.0213806
+0.0218992
+0.0215433
+0.0213606
+0.0212684
+0.0212768
+0.0214139
+0.0216489
+0.0219857
+0.0223622
+0.0219495
+0.0216364
+0.0215416
+0.0216282
+0.0219333
+0.0224491
+0.0231614
+0.0240529
+0.0251043
+0.0262966
+0.0276115
+0.0290323
+0.0305443
+0.0321346
+0.0337764
+0.0354717
+0.0372188
+0.0390107
+0.0408415
+0.0427062
+0.0780198
+0.076636
+0.0752655
+0.0739324
+0.0725855
+0.0712805
+0.0700198
+0.0685976
+0.0671984
+0.0658423
+0.0645321
+0.0632059
+0.0619163
+0.0606783
+0.0594953
+0.0583704
+0.0573045
+0.0561371
+0.0549494
+0.0538247
+0.0527459
+0.0516996
+0.0506771
+0.049721
+0.048837
+0.047916
+0.0470139
+0.0461061
+0.0452738
+0.0445254
+0.0438738
+0.0431496
+0.0424689
+0.0418349
+0.0411948
+0.0406443
+0.0401144
+0.0390156
+0.0380114
+0.0370234
+0.0361268
+0.0353396
+0.0346505
+0.0340885
+0.033652
+0.033334
+0.0331579
+0.0331261
+0.032476
+0.0316784
+0.0310084
+0.0304787
+0.0300714
+0.0297838
+0.0292932
+0.0280808
+0.0267796
+0.025447
+0.0242394
+0.0231472
+0.0222089
+0.021454
+0.0209024
+0.020301
+0.0194666
+0.0188349
+0.0184414
+0.0183034
+0.0184266
+0.0187848
+0.0193683
+0.0197343
+0.0193717
+0.0191721
+0.0190782
+0.0190868
+0.0192377
+0.0194836
+0.0198242
+0.0201943
+0.0198979
+0.019552
+0.0194471
+0.019543
+0.0198802
+0.0204478
+0.0212274
+0.0221966
+0.0233319
+0.0246102
+0.0260105
+0.0275141
+0.0291049
+0.0307487
+0.0324543
+0.0342152
+0.0360232
+0.0378717
+0.039755
+0.0416683
+0.0767756
+0.0754426
+0.0740721
+0.0727192
+0.0714079
+0.0700855
+0.0688029
+0.0675477
+0.0661262
+0.0647477
+0.0634149
+0.0621307
+0.0608273
+0.0595667
+0.0583612
+0.0572142
+0.0561288
+0.0551034
+0.0539091
+0.0527623
+0.0516612
+0.0506165
+0.0496221
+0.0486456
+0.0477417
+0.0468981
+0.0459847
+0.0451088
+0.0442704
+0.0435133
+0.0428463
+0.0421925
+0.0415078
+0.0409116
+0.0402728
+0.0397181
+0.0392703
+0.0383194
+0.0372965
+0.0363146
+0.0354002
+0.0345965
+0.0338923
+0.0333176
+0.0328707
+0.032545
+0.0323646
+0.0314128
+0.0304705
+0.0296357
+0.0289184
+0.0283526
+0.0279188
+0.0276169
+0.0274109
+0.0263763
+0.0250147
+0.0237091
+0.0224081
+0.0212467
+0.0202204
+0.0193882
+0.0187761
+0.0183839
+0.0175085
+0.0168107
+0.0163686
+0.0162129
+0.0163519
+0.0167472
+0.0173992
+0.0175759
+0.017205
+0.0169842
+0.0168879
+0.0168971
+0.017061
+0.0173185
+0.0176699
+0.0180319
+0.0178639
+0.0174779
+0.0173618
+0.0174836
+0.0178597
+0.0184895
+0.0193482
+0.0204069
+0.0216362
+0.0230089
+0.0245009
+0.0260897
+0.0277365
+0.0294536
+0.03123
+0.0330562
+0.0349243
+0.036828
+0.038762
+0.040722
+0.0755713
+0.0742168
+0.0729029
+0.0715504
+0.0702173
+0.0689281
+0.067635
+0.0663773
+0.0651102
+0.0637096
+0.0623546
+0.0610482
+0.0597935
+0.0585161
+0.0572884
+0.0561194
+0.0550129
+0.053972
+0.052939
+0.0517708
+0.0506482
+0.0495821
+0.0485914
+0.0476467
+0.0467234
+0.0458863
+0.0450295
+0.0441859
+0.0433417
+0.0425807
+0.0418996
+0.0412996
+0.0406303
+0.0400341
+0.039444
+0.038872
+0.0384154
+0.0377378
+0.0366986
+0.0357264
+0.0347964
+0.0339786
+0.0332614
+0.0326755
+0.0322196
+0.0318415
+0.0306137
+0.0294977
+0.0284923
+0.0276157
+0.0268445
+0.026234
+0.0257727
+0.0254541
+0.0252304
+0.0245612
+0.0232919
+0.0219576
+0.020647
+0.0193881
+0.0182782
+0.0173531
+0.0166664
+0.0162335
+0.0156124
+0.0148339
+0.0143309
+0.0141528
+0.0143118
+0.0147535
+0.0154897
+0.0154234
+0.0150452
+0.014797
+0.0146976
+0.0147076
+0.0148758
+0.0151561
+0.0155175
+0.0158772
+0.0158707
+0.0154349
+0.0153033
+0.0154604
+0.0158845
+0.0165894
+0.0175414
+0.0187026
+0.0200368
+0.0215118
+0.023094
+0.0247455
+0.0264753
+0.0282691
+0.0301155
+0.0320053
+0.0339313
+0.0358877
+0.0378698
+0.0398737
+0.0744054
+0.0730286
+0.0716923
+0.070396
+0.0690587
+0.0677591
+0.066497
+0.0652363
+0.0640043
+0.0627309
+0.0613543
+0.0600261
+0.0587496
+0.0575229
+0.0562805
+0.0550901
+0.0539625
+0.0529016
+0.0519003
+0.0508544
+0.0497111
+0.0486244
+0.0476139
+0.0466843
+0.0457875
+0.0449329
+0.0441624
+0.043302
+0.0425057
+0.0417295
+0.0410343
+0.0404451
+0.0398539
+0.039251
+0.0387169
+0.0381329
+0.0376673
+0.037276
+0.0362236
+0.0352511
+0.0343187
+0.0334929
+0.032765
+0.0321701
+0.0315066
+0.0301062
+0.0288045
+0.0276155
+0.0265475
+0.0256137
+0.0247906
+0.0241282
+0.0236348
+0.0232965
+0.0230519
+0.0227567
+0.0216538
+0.0202116
+0.01891
+0.0175974
+0.0163962
+0.0153609
+0.0145807
+0.0140954
+0.0138038
+0.0129212
+0.0123425
+0.0121353
+0.0123192
+0.0128243
+0.0136648
+0.0132744
+0.0128958
+0.0126111
+0.0125073
+0.0125185
+0.0126924
+0.0130032
+0.0133676
+0.013734
+0.0139369
+0.0134385
+0.0132872
+0.0134881
+0.0139736
+0.01477
+0.0158317
+0.0171094
+0.0185585
+0.0201285
+0.0217844
+0.023528
+0.0253411
+0.0272098
+0.0291233
+0.0310736
+0.0330539
+0.0350593
+0.0370857
+0.0391298
+0.073249
+0.0718822
+0.0705242
+0.0692089
+0.0679273
+0.0666125
+0.0653376
+0.0641049
+0.0628705
+0.0616651
+0.0604169
+0.0590676
+0.0577699
+0.056522
+0.0553311
+0.05413
+0.0529819
+0.051901
+0.0508914
+0.0498858
+0.0488543
+0.0477482
+0.0467187
+0.0457709
+0.0449101
+0.0440678
+0.0432902
+0.0425126
+0.0417332
+0.0409757
+0.0402696
+0.0396691
+0.0391512
+0.0385714
+0.0380453
+0.0375
+0.0370265
+0.0366767
+0.0358763
+0.0348941
+0.0339519
+0.0331172
+0.0323972
+0.0314744
+0.0299125
+0.0284338
+0.0270517
+0.025782
+0.0246419
+0.0236351
+0.0227622
+0.022039
+0.0215074
+0.0211457
+0.0208759
+0.0208162
+0.01991
+0.0185603
+0.0171378
+0.0158678
+0.0145683
+0.0134307
+0.0125308
+0.011969
+0.0117225
+0.0111065
+0.0104275
+0.0101814
+0.0103999
+0.0109936
+0.0117399
+0.0111365
+0.0107631
+0.0104267
+0.0103171
+0.01033
+0.0105121
+0.0108607
+0.0112336
+0.0116084
+0.0120589
+0.0115131
+0.011336
+0.0115784
+0.0121576
+0.0130651
+0.0142544
+0.0156613
+0.0172097
+0.0188675
+0.0206249
+0.0224587
+0.0243515
+0.0262906
+0.0282665
+0.030272
+0.0323015
+0.0343509
+0.0364167
+0.0384963
+0.072119
+0.0707558
+0.0694055
+0.0680686
+0.0667768
+0.0655121
+0.0642187
+0.0629676
+0.0617688
+0.0605667
+0.059395
+0.0581759
+0.0568578
+0.0555894
+0.0543782
+0.0532295
+0.0520726
+0.0509693
+0.0499378
+0.0489784
+0.0479868
+0.0469578
+0.0459106
+0.0449458
+0.0440689
+0.0432851
+0.0425047
+0.0418096
+0.0410185
+0.0403061
+0.0396018
+0.0390008
+0.0385053
+0.0380001
+0.0374709
+0.0369576
+0.0364882
+0.0361345
+0.0356556
+0.0346721
+0.0337237
+0.0328832
+0.0317074
+0.0300195
+0.028398
+0.026836
+0.0253671
+0.0240084
+0.0227798
+0.0216973
+0.0207669
+0.0199715
+0.0193918
+0.0190018
+0.0187034
+0.0186367
+0.0181572
+0.0170271
+0.0154685
+0.0140746
+0.0128503
+0.0115759
+0.0105378
+0.0098631
+0.00957956
+0.00935803
+0.00864444
+0.00834592
+0.00861112
+0.00931941
+0.00971878
+0.00900671
+0.00858517
+0.00824374
+0.00812682
+0.00814224
+0.00833715
+0.00869338
+0.00912652
+0.00951251
+0.00995924
+0.0097008
+0.00949
+0.00977819
+0.0104856
+0.0115256
+0.0128581
+0.0143662
+0.0160187
+0.0177878
+0.0196421
+0.0215596
+0.0235249
+0.0255269
+0.0275576
+0.0296111
+0.031683
+0.0337699
+0.0358692
+0.0379774
+0.0710146
+0.0696559
+0.0683122
+0.0669806
+0.0656674
+0.064402
+0.0631522
+0.0618799
+0.0606597
+0.0594951
+0.0583362
+0.0572027
+0.0560166
+0.0547287
+0.0534979
+0.05233
+0.0512253
+0.0501033
+0.0490536
+0.0480808
+0.0471359
+0.0462177
+0.0451944
+0.0442139
+0.0433222
+0.0425247
+0.0418102
+0.0411041
+0.0404007
+0.0397025
+0.0390316
+0.0384289
+0.0379432
+0.0375048
+0.0370174
+0.0365244
+0.0360639
+0.0357172
+0.0354913
+0.0345792
+0.033637
+0.0322078
+0.030418
+0.0286542
+0.0269532
+0.0253264
+0.0237652
+0.0223091
+0.0209812
+0.0198071
+0.0187992
+0.0179333
+0.0172858
+0.0168592
+0.0165356
+0.0164601
+0.0164147
+0.0153772
+0.0139312
+0.01238
+0.0110309
+0.00982679
+0.00864093
+0.00780398
+0.00746443
+0.00770048
+0.00702758
+0.00671123
+0.00704038
+0.00790207
+0.00753815
+0.00689266
+0.00641596
+0.006064
+0.00593661
+0.00595611
+0.00617281
+0.00654165
+0.00700805
+0.00740814
+0.00790795
+0.00804885
+0.00782388
+0.00817104
+0.00903607
+0.0102249
+0.0116533
+0.013282
+0.0150539
+0.0169242
+0.0188636
+0.0208528
+0.0228789
+0.0249328
+0.0270082
+0.0291005
+0.0312063
+0.0333231
+0.0354482
+0.037577
+0.0699614
+0.0685882
+0.0672437
+0.0659235
+0.0646133
+0.0633268
+0.062091
+0.0608492
+0.0596104
+0.0584249
+0.0572987
+0.0561879
+0.0550939
+0.0539433
+0.0526942
+0.051508
+0.0503891
+0.0493195
+0.0482527
+0.0472634
+0.046342
+0.0454203
+0.0445744
+0.04358
+0.042675
+0.0418465
+0.0408655
+0.0399805
+0.0391982
+0.0385225
+0.0379393
+0.037475
+0.0371345
+0.0369209
+0.0366707
+0.0362001
+0.0357542
+0.0354109
+0.0351829
+0.0346066
+0.0328717
+0.0310071
+0.0291879
+0.0273963
+0.0256119
+0.0238951
+0.0222613
+0.0207024
+0.019264
+0.0179781
+0.0168749
+0.0159357
+0.0152033
+0.0147308
+0.0143748
+0.0142879
+0.0144952
+0.0135607
+0.0123587
+0.0108367
+0.00929777
+0.00802522
+0.00686473
+0.00584138
+0.00540981
+0.0057311
+0.00554941
+0.00538223
+0.00576227
+0.00595508
+0.00536402
+0.00483066
+0.00426461
+0.00389133
+0.00374652
+0.00377438
+0.0040175
+0.00442473
+0.00489289
+0.00534909
+0.00590422
+0.00654508
+0.00647278
+0.00688838
+0.00783614
+0.00918027
+0.0107434
+0.0124913
+0.0143611
+0.016311
+0.0183155
+0.0203583
+0.0224291
+0.0245207
+0.0266264
+0.0287401
+0.0308644
+0.0329973
+0.0351374
+0.0372833
+0.0688983
+0.0675476
+0.0662176
+0.0648897
+0.0635962
+0.0623101
+0.0610537
+0.0598511
+0.0586187
+0.0574184
+0.056272
+0.0551889
+0.0541228
+0.0530734
+0.0519659
+0.0507672
+0.0496317
+0.0485511
+0.0475394
+0.046535
+0.045611
+0.0447032
+0.0435278
+0.0422579
+0.0410535
+0.039933
+0.0389038
+0.0379732
+0.0371485
+0.0364372
+0.0358254
+0.0353334
+0.0349719
+0.0347451
+0.0346293
+0.0346262
+0.0347331
+0.0349771
+0.0350029
+0.0338074
+0.0318471
+0.0299188
+0.028029
+0.0261862
+0.0243938
+0.0225846
+0.0208488
+0.0192061
+0.0176519
+0.0162389
+0.0150137
+0.0139945
+0.013156
+0.0126236
+0.0122247
+0.0121224
+0.0123406
+0.011845
+0.0107359
+0.00926106
+0.00774499
+0.00623136
+0.00506408
+0.00406388
+0.00352313
+0.003999
+0.00444004
+0.00441045
+0.00503907
+0.00392532
+0.00321247
+0.00278373
+0.00212957
+0.00172615
+0.00155702
+0.0015984
+0.00188754
+0.00234793
+0.00287212
+0.00343576
+0.00408073
+0.00490209
+0.00553233
+0.00605567
+0.00711506
+0.008573
+0.0102293
+0.012052
+0.0139807
+0.015975
+0.0180072
+0.0200719
+0.0221608
+0.0242677
+0.0263883
+0.0285194
+0.030659
+0.0328052
+0.0349571
+0.0371134
+0.0678747
+0.0665184
+0.0651835
+0.0638945
+0.0626005
+0.0613302
+0.0600784
+0.0588559
+0.0576836
+0.0564702
+0.0553131
+0.0542108
+0.0531759
+0.0521567
+0.0511607
+0.0500883
+0.0489433
+0.0478455
+0.0468244
+0.0458853
+0.0446409
+0.0431858
+0.041795
+0.040475
+0.0392235
+0.0380492
+0.0369676
+0.0359869
+0.0351157
+0.0343622
+0.0337213
+0.0331981
+0.0328132
+0.0325674
+0.0324432
+0.0324419
+0.0325559
+0.0328162
+0.0332191
+0.0329581
+0.030944
+0.0289556
+0.0269985
+0.0250801
+0.0232099
+0.0213987
+0.0195796
+0.0178203
+0.0161668
+0.0146216
+0.0132476
+0.0121037
+0.0111632
+0.01055
+0.010092
+0.00996784
+0.0102013
+0.00993183
+0.00891075
+0.00764145
+0.00616347
+0.00466133
+0.0032261
+0.0023134
+0.00198928
+0.00278536
+0.00343547
+0.0029099
+0.00324422
+0.00208899
+0.00109827
+0.000753514
+1.52862e-05
+-0.000432569
+-0.000629685
+-0.000537786
+-0.000174531
+0.000434141
+0.00113041
+0.00189173
+0.0027354
+0.00373749
+0.00478332
+0.00585888
+0.00699115
+0.00845805
+0.01012
+0.0119535
+0.013884
+0.0158806
+0.0179225
+0.019996
+0.0220921
+0.024205
+0.0263306
+0.0284661
+0.0306093
+0.0327589
+0.0349135
+0.0370724
+0.0668491
+0.0655314
+0.0641926
+0.0628833
+0.061624
+0.0603774
+0.0591329
+0.0579265
+0.0567422
+0.0555852
+0.0544133
+0.0533045
+0.052252
+0.0512713
+0.0503046
+0.0493686
+0.0482283
+0.0468449
+0.045525
+0.0442741
+0.0430646
+0.0415544
+0.040107
+0.0387295
+0.0374297
+0.0362
+0.0350613
+0.0340258
+0.033103
+0.0323026
+0.0316289
+0.0310705
+0.0306589
+0.030391
+0.0302579
+0.0302585
+0.0303807
+0.0306594
+0.0310782
+0.0308234
+0.0301732
+0.0281303
+0.0261115
+0.0241226
+0.0221718
+0.0202701
+0.0184326
+0.0166088
+0.0148207
+0.013155
+0.0116269
+0.0103196
+0.00925797
+0.00851748
+0.0079907
+0.00783335
+0.00808816
+0.00786474
+0.00707363
+0.00607203
+0.00455069
+0.00306609
+0.001621
+0.000696204
+0.001076
+0.00226161
+0.0014314
+0.000891018
+0.00126886
+0.000347025
+-0.000913336
+-0.0013195
+-0.00194467
+-0.00236151
+-0.0019619
+-0.00129593
+-0.000638955
+-7.63672e-05
+0.000665763
+0.00147277
+0.00241088
+0.00350878
+0.00471092
+0.00597601
+0.00733627
+0.00878974
+0.0104223
+0.0122247
+0.0141182
+0.0160857
+0.0181046
+0.0201593
+0.0222401
+0.0243401
+0.0264548
+0.028581
+0.0307163
+0.0328588
+0.0350073
+0.0371608
+0.0658332
+0.064528
+0.0632378
+0.061933
+0.0606541
+0.0594284
+0.0582266
+0.0570193
+0.0558636
+0.0547224
+0.0535839
+0.0524588
+0.0514024
+0.0504077
+0.0494874
+0.0480686
+0.0465776
+0.0451436
+0.0437724
+0.04247
+0.0412429
+0.0399765
+0.0384698
+0.0370315
+0.0356697
+0.0343909
+0.0331902
+0.0320943
+0.0311143
+0.0302614
+0.0295466
+0.0289524
+0.0285102
+0.0282168
+0.0280734
+0.0280762
+0.0282079
+0.0285078
+0.028932
+0.0286581
+0.0285276
+0.0274553
+0.025383
+0.0233321
+0.0213091
+0.0193226
+0.0173853
+0.0155156
+0.0136933
+0.0118718
+0.010195
+0.00870503
+0.00745333
+0.00657889
+0.00595425
+0.00574136
+0.00602878
+0.0057521
+0.00517182
+0.00413554
+0.00306779
+0.00149073
+-1.07065e-05
+-0.000186247
+-7.19558e-05
+0.000503534
+-0.000194849
+-0.0002774
+-0.000716999
+-0.00141355
+-0.00245453
+-0.00273442
+-0.00173658
+-0.000502089
+5.89327e-05
+0.000645452
+0.00119787
+0.00152066
+0.00194266
+0.00255654
+0.00329852
+0.00423485
+0.00533321
+0.00657743
+0.00800825
+0.00948804
+0.0110727
+0.0128001
+0.014641
+0.0165672
+0.0185454
+0.0205561
+0.0226004
+0.0246697
+0.0267584
+0.0288623
+0.0309781
+0.0331037
+0.0352373
+0.0373775
+0.0648368
+0.0635505
+0.0622745
+0.0610154
+0.0597487
+0.058504
+0.0573161
+0.0561616
+0.0549967
+0.0538956
+0.0528071
+0.051691
+0.0506186
+0.0496164
+0.0481083
+0.0465155
+0.044973
+0.0434862
+0.042061
+0.0407039
+0.0394218
+0.038221
+0.03689
+0.0353876
+0.03396
+0.0326172
+0.0313605
+0.0301983
+0.0291546
+0.0282426
+0.0274753
+0.0268459
+0.0263684
+0.0260453
+0.0258899
+0.0258953
+0.026038
+0.0263627
+0.0267929
+0.0264969
+0.0263585
+0.0263884
+0.0248243
+0.022724
+0.0206424
+0.0185858
+0.0165631
+0.0145884
+0.0126847
+0.0108363
+0.0090234
+0.00734968
+0.00590864
+0.00483493
+0.00407295
+0.00373731
+0.00410486
+0.00360109
+0.00302137
+0.0024761
+0.00136335
+0.000203204
+-0.00125307
+-0.00158127
+-0.0018087
+-0.00152099
+-0.00172243
+-0.00222636
+-0.00284347
+-0.00282443
+-0.00224599
+-0.00164116
+-0.000746589
+0.000842082
+0.00216414
+0.00275451
+0.00325954
+0.00351806
+0.00375802
+0.00417701
+0.00481577
+0.00559214
+0.00652403
+0.00764364
+0.00897811
+0.010484
+0.0120259
+0.0136651
+0.0154354
+0.0172734
+0.0191855
+0.0211517
+0.0231582
+0.0251863
+0.0272354
+0.029305
+0.0313911
+0.0334905
+0.0356009
+0.0377204
+0.0639001
+0.0625945
+0.0613394
+0.0600963
+0.0588721
+0.0576482
+0.0564422
+0.0552968
+0.0541887
+0.0530709
+0.0520213
+0.0509952
+0.0499186
+0.0483306
+0.0466546
+0.0450154
+0.0434197
+0.0418778
+0.0403959
+0.0389808
+0.0376401
+0.036382
+0.0352101
+0.0338057
+0.0323083
+0.0308938
+0.0295741
+0.0283448
+0.0272302
+0.0262514
+0.0254241
+0.024754
+0.0242353
+0.0238774
+0.0237077
+0.0237162
+0.023872
+0.0242257
+0.0246629
+0.0243411
+0.0241932
+0.0242258
+0.0244266
+0.0223136
+0.0201897
+0.0180818
+0.0159961
+0.0139427
+0.0119382
+0.010012
+0.0081574
+0.00638876
+0.00474336
+0.00349297
+0.00251765
+0.00202593
+0.0021066
+0.00153158
+0.00103391
+0.00112101
+-0.000525159
+-0.00136993
+-0.00267527
+-0.00306503
+-0.00368552
+-0.00356716
+-0.00372526
+-0.0042893
+-0.00382095
+-0.00242256
+-0.000999996
+-9.60003e-06
+0.000954668
+0.00217453
+0.00382664
+0.00488161
+0.00540268
+0.00561156
+0.00576044
+0.00610364
+0.00661688
+0.00728628
+0.00806754
+0.00906367
+0.0102587
+0.0116613
+0.0132063
+0.0147745
+0.0164309
+0.0181969
+0.0200394
+0.0219292
+0.0238704
+0.0258516
+0.0278642
+0.029901
+0.0319492
+0.0340142
+0.036094
+0.0381862
+0.0630257
+0.0617016
+0.0604279
+0.0592079
+0.0580018
+0.056817
+0.0556409
+0.0544783
+0.0533647
+0.0523178
+0.0512601
+0.0502549
+0.0487419
+0.0469786
+0.0452525
+0.0435683
+0.0419234
+0.0403243
+0.0387831
+0.0373069
+0.0359037
+0.0345825
+0.033353
+0.0322157
+0.0307242
+0.0292331
+0.0278347
+0.0265425
+0.025349
+0.0242945
+0.0233981
+0.0226784
+0.0221136
+0.021714
+0.0215273
+0.0215365
+0.021708
+0.0220963
+0.0225446
+0.022192
+0.022033
+0.0220688
+0.0222891
+0.0220366
+0.0199685
+0.0178345
+0.015716
+0.0136204
+0.0115602
+0.0095581
+0.00761743
+0.00583615
+0.00424256
+0.00295351
+0.00201323
+0.00101446
+0.000548245
+0.000342794
+-7.74327e-05
+-0.000661879
+-0.00145737
+-0.00333297
+-0.00439912
+-0.00492101
+-0.00559926
+-0.00570772
+-0.00573978
+-0.00504567
+-0.00341026
+-0.00153325
+0.000152263
+0.00160822
+0.00244031
+0.00327318
+0.00406279
+0.00522808
+0.00681427
+0.00775539
+0.00786127
+0.0081226
+0.0085954
+0.00914544
+0.00981131
+0.0106929
+0.0117878
+0.0130845
+0.0145032
+0.0160541
+0.0176309
+0.0192908
+0.021048
+0.0228756
+0.0247566
+0.0266721
+0.028627
+0.0306139
+0.0326269
+0.0346614
+0.0367114
+0.0387703
+0.0622147
+0.0608744
+0.059583
+0.0583454
+0.0571649
+0.0560005
+0.0548599
+0.0537168
+0.0526006
+0.0515381
+0.0505483
+0.0493447
+0.0475028
+0.0456916
+0.043915
+0.0421774
+0.0404838
+0.0388323
+0.0372293
+0.0356889
+0.0342195
+0.0328306
+0.0315328
+0.030335
+0.0292185
+0.0276463
+0.0261633
+0.0247854
+0.0235214
+0.022381
+0.0214047
+0.0206157
+0.0200033
+0.0195567
+0.0193492
+0.0193579
+0.0195484
+0.0199788
+0.0204414
+0.0200519
+0.0198795
+0.0199192
+0.0201631
+0.0206266
+0.0197319
+0.0176735
+0.015651
+0.0136277
+0.011567
+0.00956431
+0.00766393
+0.00589593
+0.00435352
+0.0026476
+0.00117153
+0.000152642
+-0.000606953
+-0.00123123
+-0.00186579
+-0.00270597
+-0.00316151
+-0.00452855
+-0.00549357
+-0.00636774
+-0.00650401
+-0.00613286
+-0.00557102
+-0.00502702
+-0.00332801
+-0.00129196
+0.000304911
+0.00183229
+0.00280536
+0.00361332
+0.0043149
+0.00544404
+0.00699787
+0.00879039
+0.0100007
+0.0102126
+0.0105931
+0.0110852
+0.0116811
+0.0124857
+0.013454
+0.0146498
+0.015982
+0.0174326
+0.0189805
+0.0205574
+0.0222147
+0.0239577
+0.025768
+0.0276306
+0.029533
+0.0314627
+0.0334246
+0.0354133
+0.0374246
+0.039455
+0.0614264
+0.0601057
+0.0588077
+0.0575533
+0.0563563
+0.0552202
+0.0541026
+0.0530118
+0.0519026
+0.050841
+0.0498373
+0.0482207
+0.0463341
+0.0444753
+0.0426481
+0.0408567
+0.0391059
+0.0374015
+0.0357424
+0.0341349
+0.0325955
+0.0311342
+0.0297626
+0.0284935
+0.0273332
+0.0261469
+0.0245736
+0.023101
+0.0217497
+0.020523
+0.0194536
+0.018582
+0.0179081
+0.0174077
+0.0171743
+0.0171823
+0.0173967
+0.0178742
+0.0183547
+0.0179241
+0.0177351
+0.0177795
+0.0180525
+0.0185687
+0.0192881
+0.0174613
+0.0154316
+0.0134289
+0.0114533
+0.00950379
+0.00767101
+0.00594406
+0.00413801
+0.00237573
+0.000579167
+-0.00102574
+-0.00150596
+-0.00245972
+-0.00344934
+-0.00421138
+-0.00516605
+-0.00618761
+-0.00652032
+-0.00629963
+-0.00612396
+-0.00572478
+-0.00528627
+-0.00459258
+-0.00342321
+-0.00130735
+0.000101537
+0.00128275
+0.00229919
+0.00321218
+0.00414371
+0.00545521
+0.00710454
+0.008977
+0.0109531
+0.0123376
+0.0126505
+0.0131027
+0.0136376
+0.0143744
+0.015252
+0.0163295
+0.0175623
+0.0189401
+0.0203978
+0.0219508
+0.0235279
+0.0251802
+0.0269096
+0.0287019
+0.0305441
+0.0324283
+0.0343437
+0.0362821
+0.0382478
+0.0402367
+0.0606925
+0.0593632
+0.0580782
+0.0568348
+0.0556222
+0.0544708
+0.0533846
+0.0523195
+0.0512678
+0.0502141
+0.0491128
+0.0471678
+0.0452413
+0.0433357
+0.0414583
+0.0396131
+0.0378048
+0.0360389
+0.034322
+0.032654
+0.0310413
+0.0295031
+0.0280518
+0.0267015
+0.0254684
+0.0243556
+0.0230825
+0.0215081
+0.0200497
+0.0187345
+0.0175592
+0.0165884
+0.0158386
+0.0152706
+0.015004
+0.0150111
+0.015256
+0.0157756
+0.0162859
+0.0158135
+0.0156035
+0.015654
+0.0159635
+0.0165372
+0.0173242
+0.0172469
+0.0152074
+0.0132164
+0.0112772
+0.00931508
+0.00739845
+0.00555121
+0.00380965
+0.00225295
+0.0011058
+0.000357278
+-0.000814843
+-0.00220869
+-0.00369073
+-0.00484
+-0.00608823
+-0.00740005
+-0.00653265
+-0.00598986
+-0.00581306
+-0.00550484
+-0.00498108
+-0.00416191
+-0.00327774
+-0.00119635
+0.000250158
+0.00153841
+0.00218352
+0.00288604
+0.00373944
+0.0051279
+0.00682526
+0.00873873
+0.0107585
+0.0128344
+0.0147464
+0.0151683
+0.0156485
+0.0163087
+0.017131
+0.018107
+0.0192624
+0.0205265
+0.0219211
+0.0233964
+0.0249442
+0.0265276
+0.0281744
+0.029891
+0.0316662
+0.0334906
+0.0353537
+0.0372523
+0.0391763
+0.0411203
+0.0599406
+0.0586521
+0.0573925
+0.0561404
+0.0549467
+0.0538003
+0.0527002
+0.0516696
+0.0506468
+0.0496368
+0.0481565
+0.0461801
+0.0442225
+0.0422755
+0.0403525
+0.0384542
+0.0365887
+0.0347611
+0.0329777
+0.0312463
+0.0295677
+0.0279486
+0.026412
+0.0249733
+0.0236502
+0.0224578
+0.0214123
+0.0200284
+0.0184535
+0.0170154
+0.0157419
+0.0146512
+0.013793
+0.0131512
+0.0128406
+0.0128466
+0.0131319
+0.0137059
+0.0142534
+0.0137279
+0.0134909
+0.0135493
+0.0139058
+0.0145319
+0.0154122
+0.0164902
+0.0151927
+0.0131994
+0.0112795
+0.00934699
+0.0075047
+0.00575909
+0.00428908
+0.00296121
+0.00159917
+-0.000244871
+-0.00102352
+-0.002758
+-0.00410386
+-0.00516188
+-0.00627759
+-0.00725676
+-0.00613015
+-0.00531076
+-0.00475584
+-0.00474541
+-0.00334786
+-0.00203232
+-0.00160072
+-0.000897571
+0.000892895
+0.00241643
+0.00309911
+0.00357232
+0.00422733
+0.00550413
+0.0071483
+0.00901301
+0.0109986
+0.0130421
+0.0151219
+0.0172292
+0.0177022
+0.018301
+0.0190741
+0.0199668
+0.0210309
+0.0222158
+0.0235252
+0.024929
+0.0264179
+0.0279604
+0.0295475
+0.0311888
+0.032894
+0.0346539
+0.0364604
+0.0383062
+0.0401848
+0.0420935
+0.0592555
+0.0579526
+0.0567036
+0.0555094
+0.0543018
+0.0531571
+0.0520793
+0.0510564
+0.0500878
+0.0490919
+0.0472824
+0.0452679
+0.0432705
+0.0412928
+0.0393299
+0.0373848
+0.0354663
+0.0335777
+0.0317279
+0.0299242
+0.0281754
+0.0264842
+0.0248573
+0.0233228
+0.0219002
+0.0206127
+0.019474
+0.0185194
+0.0169903
+0.0154163
+0.014009
+0.0127914
+0.0117879
+0.0110595
+0.0106884
+0.0106926
+0.0110338
+0.0116691
+0.0122755
+0.0116809
+0.0114077
+0.0114767
+0.0118848
+0.0125886
+0.0135579
+0.0147718
+0.0153788
+0.0134131
+0.0115162
+0.00969636
+0.00802983
+0.00610346
+0.0042628
+0.00276566
+0.00126722
+-7.71357e-05
+-0.00123447
+-0.00258583
+-0.00380169
+-0.00505186
+-0.00555272
+-0.00545314
+-0.00497341
+-0.00473732
+-0.00407247
+-0.00343407
+-0.00240965
+-0.000346311
+0.000483211
+0.000245895
+0.000864077
+0.00131135
+0.00235882
+0.00413032
+0.00547292
+0.00656461
+0.0080132
+0.00971327
+0.0115794
+0.0135431
+0.0155675
+0.0176316
+0.0197231
+0.0203341
+0.0210585
+0.0218792
+0.0228628
+0.0239864
+0.0252039
+0.0265467
+0.0279565
+0.0294553
+0.0309927
+0.032581
+0.0342182
+0.0359132
+0.0376594
+0.03945
+0.0412792
+0.0431404
+0.058563
+0.0573193
+0.0560644
+0.0548609
+0.0537188
+0.0525815
+0.0514918
+0.0504736
+0.0495315
+0.0485576
+0.0464952
+0.044445
+0.0424089
+0.040389
+0.0383878
+0.0364085
+0.034439
+0.0324965
+0.0305841
+0.0287086
+0.0268808
+0.0251112
+0.0234045
+0.0217679
+0.0202363
+0.0188354
+0.0175952
+0.0165324
+0.0156514
+0.0139454
+0.0123718
+0.0109821
+0.00983931
+0.00901502
+0.00855565
+0.0085574
+0.00897651
+0.00969034
+0.0103226
+0.00968998
+0.00937317
+0.00945322
+0.00991544
+0.0107192
+0.0118192
+0.0131941
+0.0147492
+0.0138956
+0.012045
+0.00989432
+0.00776548
+0.00568315
+0.00368834
+0.00201314
+0.00142357
+5.82248e-05
+-0.00154458
+-0.00281627
+-0.00336494
+-0.00340743
+-0.00346399
+-0.00329172
+-0.0028449
+-0.00256942
+-0.00226179
+-0.00201535
+-0.00208808
+-0.000874172
+0.000361481
+0.00156862
+0.0018034
+0.00135809
+0.00228614
+0.00410856
+0.00615268
+0.00801043
+0.0092775
+0.0108194
+0.0125217
+0.0143571
+0.0162806
+0.0182643
+0.0202907
+0.0223481
+0.0230569
+0.0238379
+0.024753
+0.0258057
+0.0269563
+0.0282158
+0.0295775
+0.030998
+0.0325042
+0.034037
+0.0356245
+0.0372589
+0.0389448
+0.0406788
+0.0423833
+0.0436233
+0.0579002
+0.0566774
+0.0554887
+0.0542799
+0.053134
+0.0520474
+0.0509916
+0.0499633
+0.0490113
+0.0478898
+0.0457993
+0.0437165
+0.0416448
+0.0395859
+0.037542
+0.0355155
+0.0335097
+0.0315223
+0.0295506
+0.0276119
+0.0257081
+0.0238516
+0.0220565
+0.0203304
+0.0186814
+0.017154
+0.0157836
+0.0146038
+0.0136601
+0.0126231
+0.0108835
+0.0093122
+0.00797729
+0.00698929
+0.00645272
+0.00645934
+0.00692182
+0.00779314
+0.00848665
+0.00774236
+0.00737892
+0.00750843
+0.00803545
+0.00896536
+0.0102552
+0.0117876
+0.0134586
+0.0142996
+0.0121539
+0.0100278
+0.00793663
+0.00587526
+0.00392743
+0.00228056
+0.000948562
+-0.00101981
+-0.00130302
+-0.00112726
+-0.0013859
+-0.00135733
+-0.00136768
+-0.00114606
+-0.000749941
+-0.000441186
+-0.000107665
+-1.11432e-05
+-0.0011459
+-0.000457112
+0.000453211
+0.00112246
+0.0026214
+0.00306355
+0.00363424
+0.00499083
+0.00678473
+0.00875245
+0.0105737
+0.0121756
+0.0137515
+0.0154414
+0.0172443
+0.0191284
+0.0210719
+0.0230597
+0.0250813
+0.0258338
+0.0266818
+0.0276684
+0.0287688
+0.0299522
+0.0312446
+0.032615
+0.0340497
+0.0355617
+0.0370901
+0.0384633
+0.0394848
+0.040553
+0.041709
+0.0429458
+0.0573133
+0.0560776
+0.0549016
+0.0537744
+0.0526175
+0.0515278
+0.0505023
+0.0495384
+0.0485731
+0.0473052
+0.0451892
+0.0430805
+0.0409805
+0.0388898
+0.0368072
+0.0347379
+0.0326844
+0.0306492
+0.0286353
+0.0266392
+0.0246663
+0.0227332
+0.0208426
+0.0190159
+0.0172649
+0.0155994
+0.0140786
+0.0127541
+0.0116682
+0.0109098
+0.00963336
+0.00784742
+0.00628343
+0.00507731
+0.00439138
+0.00442244
+0.00496334
+0.00602779
+0.0066593
+0.00589144
+0.00551513
+0.00566597
+0.0062928
+0.00740225
+0.00887636
+0.010581
+0.0124133
+0.0143423
+0.0126235
+0.0105759
+0.00853628
+0.00644712
+0.00440318
+0.00247105
+0.00072211
+-0.000137694
+0.000815531
+0.000843402
+0.0006405
+0.000675076
+0.000769617
+0.000995714
+0.0013311
+0.00168251
+0.00203465
+0.00136116
+0.000611666
+0.000442567
+0.00114121
+0.00226903
+0.00328046
+0.00432904
+0.00533396
+0.00639428
+0.00764514
+0.00924069
+0.0109752
+0.0127765
+0.0146159
+0.0164758
+0.0182512
+0.0201088
+0.0220276
+0.0239511
+0.0259033
+0.0278514
+0.0286471
+0.029576
+0.0306195
+0.0317448
+0.032967
+0.0342857
+0.0354232
+0.0362036
+0.0369836
+0.0378694
+0.0388586
+0.0399436
+0.0411134
+0.0423306
+0.0568049
+0.0555579
+0.0543706
+0.0532469
+0.0521831
+0.0510814
+0.0500514
+0.0490818
+0.0481892
+0.046578
+0.0445762
+0.0425417
+0.0404148
+0.0382939
+0.0361813
+0.0340786
+0.0319877
+0.0299056
+0.027838
+0.02579
+0.0237674
+0.021763
+0.019789
+0.0178641
+0.0159973
+0.0142135
+0.0125255
+0.0110159
+0.00976043
+0.00884266
+0.00807552
+0.0066656
+0.00484273
+0.00330749
+0.0024854
+0.00246535
+0.00319248
+0.00439041
+0.00501919
+0.00407005
+0.00373488
+0.00393834
+0.00479005
+0.00614695
+0.00780468
+0.00965976
+0.0116168
+0.0136303
+0.012924
+0.0108737
+0.00886567
+0.00692013
+0.00486831
+0.00293319
+0.00149373
+0.00183758
+0.00254798
+0.0027542
+0.00269101
+0.0027566
+0.00290348
+0.00313395
+0.00344749
+0.00381515
+0.00362452
+0.00273683
+0.00246484
+0.00213434
+0.00239448
+0.00388357
+0.00482515
+0.00564109
+0.00608453
+0.00686253
+0.00813737
+0.00962524
+0.0113248
+0.0131702
+0.0149764
+0.0168247
+0.0186053
+0.0204374
+0.0222892
+0.0241977
+0.0261505
+0.0281383
+0.0301517
+0.0315139
+0.0325018
+0.0334743
+0.0339036
+0.0344294
+0.0349799
+0.0356551
+0.0364403
+0.0373159
+0.0382968
+0.0393649
+0.0405163
+0.0417509
+0.0563431
+0.0551144
+0.0539234
+0.0527903
+0.0517251
+0.0507026
+0.0496775
+0.0487164
+0.0478049
+0.0457519
+0.0437122
+0.0416879
+0.0396813
+0.0376951
+0.035674
+0.0335397
+0.0314129
+0.0292955
+0.0271898
+0.0250937
+0.02301
+0.0209481
+0.0189153
+0.0168997
+0.0149255
+0.0130162
+0.0111877
+0.00946736
+0.00798067
+0.00683206
+0.00608759
+0.00537062
+0.00373784
+0.00192134
+0.000710836
+0.000706708
+0.00161671
+0.00305337
+0.00369196
+0.00253382
+0.00212751
+0.00251569
+0.00365972
+0.00526615
+0.00711837
+0.00907823
+0.0111199
+0.0132016
+0.0134082
+0.0114065
+0.00948501
+0.00764503
+0.00588913
+0.0043956
+0.00346397
+0.00366519
+0.0043485
+0.00477032
+0.00479505
+0.00488655
+0.0050477
+0.00528368
+0.00557947
+0.00558628
+0.0051511
+0.00433335
+0.00404331
+0.00421658
+0.00432483
+0.00520159
+0.00612285
+0.00677705
+0.00692852
+0.00762314
+0.00872739
+0.010165
+0.0117997
+0.0135807
+0.0153386
+0.0171718
+0.0190448
+0.0208383
+0.0226573
+0.0245372
+0.026465
+0.0284308
+0.0304274
+0.032449
+0.0329593
+0.03324
+0.0335508
+0.0339455
+0.0344731
+0.0351251
+0.0358992
+0.0367876
+0.0377823
+0.0388604
+0.0400263
+0.0412634
+0.0559311
+0.054707
+0.0535303
+0.0524154
+0.0513484
+0.0503482
+0.0493592
+0.0484228
+0.0471024
+0.0450173
+0.0429428
+0.0408804
+0.0388321
+0.0368001
+0.0347874
+0.0327976
+0.030835
+0.0288337
+0.0266916
+0.024558
+0.0224355
+0.0203222
+0.0182197
+0.0161406
+0.0140953
+0.012065
+0.0100961
+0.00821577
+0.00644747
+0.00496908
+0.00403494
+0.00327057
+0.00307338
+0.00118851
+-0.000495549
+-0.000910415
+0.000310364
+0.00211279
+0.00286937
+0.00152785
+0.000955116
+0.00144474
+0.00299658
+0.00481739
+0.00677265
+0.00879588
+0.0108829
+0.0129949
+0.0141574
+0.0122426
+0.0104269
+0.0087408
+0.00729197
+0.00617428
+0.00560045
+0.00571584
+0.00638811
+0.00685904
+0.00693434
+0.00703637
+0.00721752
+0.0074562
+0.00756925
+0.00724235
+0.00689453
+0.00615723
+0.00592239
+0.0055306
+0.00515157
+0.00531884
+0.00615396
+0.00712731
+0.00776296
+0.00851268
+0.00948847
+0.0108255
+0.0124076
+0.0141186
+0.0158654
+0.0176956
+0.019498
+0.0213163
+0.023199
+0.0250643
+0.0269544
+0.0288869
+0.030854
+0.0326345
+0.0327365
+0.03285
+0.0331083
+0.0335082
+0.0340418
+0.034702
+0.0354853
+0.0363811
+0.0373614
+0.0384055
+0.0395434
+0.0407675
+0.0555663
+0.054371
+0.0532008
+0.0520799
+0.0510274
+0.0500404
+0.049084
+0.0481778
+0.0464925
+0.0443789
+0.042273
+0.0401762
+0.0380901
+0.0360163
+0.0339572
+0.0319156
+0.0298951
+0.0279004
+0.0259373
+0.0240136
+0.0220478
+0.0198986
+0.0177597
+0.0156296
+0.0135072
+0.0114072
+0.00933322
+0.00731566
+0.00534612
+0.00349569
+0.00208337
+0.00128617
+0.000983126
+0.0015661
+-0.000208892
+-0.00162885
+-0.000286775
+0.00166736
+0.00226353
+0.000833234
+0.000130781
+0.00103669
+0.00290905
+0.00484325
+0.00680504
+0.00884061
+0.010926
+0.0130437
+0.0151313
+0.0133341
+0.0116532
+0.010152
+0.00892092
+0.00803316
+0.00768626
+0.00783488
+0.00845013
+0.00898114
+0.00902573
+0.00919457
+0.009397
+0.00959626
+0.00930777
+0.00910838
+0.00815409
+0.00719174
+0.00652311
+0.00597205
+0.00573191
+0.00567391
+0.00612841
+0.00717211
+0.00825908
+0.00892429
+0.00995277
+0.0113168
+0.0127622
+0.0143357
+0.0160547
+0.0178655
+0.0197405
+0.0216748
+0.0235888
+0.0255307
+0.0275101
+0.0294615
+0.0314279
+0.0324632
+0.0324312
+0.0325457
+0.0328065
+0.03321
+0.0337476
+0.0344133
+0.0351478
+0.03599
+0.036943
+0.0379986
+0.039147
+0.0403315
+0.0552384
+0.0540499
+0.0529255
+0.0518195
+0.0507616
+0.0497778
+0.0488456
+0.0479655
+0.0459791
+0.0438407
+0.0417077
+0.039581
+0.0374616
+0.035351
+0.0332507
+0.0311629
+0.0290902
+0.0270361
+0.0250053
+0.0230038
+0.02104
+0.0191255
+0.0172479
+0.0153885
+0.0132459
+0.0111126
+0.00897069
+0.00685971
+0.0047868
+0.00276802
+0.000884354
+-0.000633883
+-0.00075118
+0.000326674
+0.00120704
+-0.000752675
+-0.00116234
+0.000837976
+0.00148226
+2.77116e-05
+-0.000622312
+0.00095358
+0.00299584
+0.00510188
+0.00723129
+0.00924455
+0.0112955
+0.0133577
+0.0154549
+0.0146421
+0.0131154
+0.0117951
+0.0107513
+0.010027
+0.00975125
+0.00991319
+0.0104746
+0.0111059
+0.0111452
+0.0113362
+0.011551
+0.0113418
+0.0110343
+0.0095718
+0.00840518
+0.00758568
+0.00666518
+0.00597141
+0.00580909
+0.00589875
+0.00647654
+0.00751524
+0.008832
+0.00953541
+0.0105042
+0.0118047
+0.0132983
+0.0148596
+0.0165346
+0.018298
+0.0201327
+0.0220326
+0.023918
+0.0258352
+0.0277929
+0.029783
+0.0317996
+0.0321811
+0.0321477
+0.0322633
+0.0325061
+0.0328853
+0.0334041
+0.0340562
+0.0347943
+0.0356126
+0.036544
+0.0375635
+0.0386726
+0.0398712
+0.0549958
+0.053802
+0.0526723
+0.0516109
+0.0505894
+0.0496021
+0.0486934
+0.047724
+0.0455653
+0.0434065
+0.041251
+0.0390995
+0.0369526
+0.0348111
+0.0326761
+0.0305491
+0.0284317
+0.0263263
+0.024236
+0.0221651
+0.0201196
+0.0181081
+0.0161434
+0.0142363
+0.0123885
+0.0106713
+0.00903875
+0.00696477
+0.00494334
+0.00298877
+0.00111106
+-0.000546196
+-0.00142087
+-0.000213066
+0.00151556
+0.000272363
+-0.00113551
+-3.47597e-05
+0.000280843
+-0.00102335
+-0.000845032
+0.00122675
+0.00333527
+0.00547986
+0.007618
+0.00977349
+0.0118919
+0.0139371
+0.0160139
+0.0161295
+0.0147537
+0.0135935
+0.012687
+0.0120787
+0.0118503
+0.0119971
+0.0124968
+0.0132323
+0.0132876
+0.0134936
+0.0133707
+0.0125754
+0.0110206
+0.00962032
+0.00846634
+0.00774304
+0.00725915
+0.00641098
+0.00600346
+0.00598944
+0.0064413
+0.00749982
+0.0088943
+0.00999384
+0.0110908
+0.0123438
+0.0137524
+0.0153455
+0.0170716
+0.0188869
+0.02075
+0.0225981
+0.0244399
+0.0263191
+0.0282433
+0.0302038
+0.0320923
+0.0319087
+0.031875
+0.0319916
+0.0322568
+0.0326469
+0.0331479
+0.0337232
+0.0344285
+0.0352438
+0.036159
+0.0371809
+0.038301
+0.0395109
+0.0548397
+0.0536424
+0.0525093
+0.0514445
+0.0504476
+0.0495019
+0.0486126
+0.0474071
+0.0452337
+0.0430619
+0.0408922
+0.0387249
+0.0365603
+0.0343991
+0.0322405
+0.0300826
+0.0279299
+0.0257835
+0.0236453
+0.0215177
+0.019404
+0.0173096
+0.0152422
+0.0132147
+0.0112485
+0.00935151
+0.00757956
+0.00603801
+0.00488528
+0.00385479
+0.00238432
+0.00106946
+0.000102805
+0.000538912
+0.000765136
+0.000920689
+-0.00081378
+-0.0013976
+-0.00114046
+-0.00205483
+-0.000608501
+0.00153881
+0.00368865
+0.00585154
+0.00801805
+0.0101937
+0.0123081
+0.0144288
+0.0165678
+0.01776
+0.0165206
+0.0154933
+0.014683
+0.0141607
+0.0139664
+0.0141107
+0.0145406
+0.0152731
+0.0154436
+0.0153839
+0.0136287
+0.0119724
+0.0104902
+0.00922735
+0.00813247
+0.00734572
+0.00706859
+0.00643379
+0.00603907
+0.00604931
+0.00658698
+0.00764395
+0.00909864
+0.0104067
+0.0114192
+0.0127216
+0.0142262
+0.01589
+0.0175945
+0.0193449
+0.0211612
+0.0230426
+0.0249746
+0.026943
+0.0288534
+0.030775
+0.0319234
+0.0317853
+0.0317514
+0.0318685
+0.0321332
+0.0324346
+0.0328758
+0.0334302
+0.0341135
+0.0349211
+0.0358446
+0.0368722
+0.0379916
+0.0392015
+0.0547212
+0.0535522
+0.0524172
+0.0513505
+0.0503566
+0.0494257
+0.048559
+0.04719
+0.045006
+0.0428228
+0.0406403
+0.0384588
+0.0362783
+0.0340992
+0.0319217
+0.0297461
+0.0275729
+0.0254027
+0.0232363
+0.021075
+0.0189165
+0.0167612
+0.0146165
+0.0124877
+0.0103848
+0.00832718
+0.00635867
+0.00449667
+0.00297552
+0.00208904
+0.00209646
+0.00206454
+0.00213691
+0.00169366
+0.000778288
+-2.15083e-05
+-0.00113492
+-0.00269252
+-0.00200711
+-0.00155982
+-2.82181e-06
+0.00206389
+0.0041524
+0.00626572
+0.00840951
+0.0105725
+0.0127104
+0.0148563
+0.0169855
+0.0189587
+0.0183789
+0.0174494
+0.0167278
+0.0162713
+0.0161024
+0.0162302
+0.0166218
+0.0172501
+0.0160726
+0.0143679
+0.0127236
+0.0112036
+0.00984528
+0.00848696
+0.00752532
+0.00700654
+0.00702286
+0.00697969
+0.00664568
+0.00669548
+0.00722787
+0.00825139
+0.00961461
+0.011092
+0.012047
+0.0132903
+0.0147553
+0.0163644
+0.0180959
+0.0199179
+0.0217638
+0.0235973
+0.0254872
+0.0274219
+0.029385
+0.0313457
+0.0318896
+0.0317109
+0.0316769
+0.0317521
+0.0319032
+0.032203
+0.0326473
+0.0332055
+0.0338933
+0.034706
+0.0356211
+0.0365997
+0.037674
+0.038842
+0.054647
+0.0535054
+0.0524013
+0.0513343
+0.0503401
+0.049423
+0.0485802
+0.0470739
+0.0448843
+0.0426948
+0.0405054
+0.0383162
+0.0361272
+0.0339384
+0.0317498
+0.0295616
+0.0273737
+0.0251864
+0.0229996
+0.0208137
+0.018629
+0.0164458
+0.0142649
+0.0120876
+0.00991611
+0.00775548
+0.00559932
+0.00347039
+0.00146046
+5.71105e-06
+7.78756e-05
+0.000504883
+0.00170437
+0.00192641
+0.000451643
+-0.00065065
+-0.00105904
+-0.0021602
+-0.00275888
+-0.00129833
+0.000571655
+0.00263772
+0.00474139
+0.00660115
+0.00836403
+0.0102924
+0.0121886
+0.0141525
+0.0161518
+0.0181869
+0.0202545
+0.0194502
+0.0188055
+0.0184006
+0.0182514
+0.0183643
+0.0187279
+0.0172627
+0.0153815
+0.0135237
+0.0117537
+0.0101493
+0.0087315
+0.00766103
+0.00706719
+0.0066602
+0.0066367
+0.00688811
+0.00675133
+0.0070626
+0.00754271
+0.00855466
+0.00987611
+0.011467
+0.0129823
+0.0141762
+0.0155579
+0.0170917
+0.0187561
+0.0205196
+0.0223577
+0.0241927
+0.0260826
+0.0280164
+0.0299856
+0.0319262
+0.0318789
+0.0316908
+0.0315982
+0.0316552
+0.0318067
+0.0320899
+0.0325072
+0.0330647
+0.0337282
+0.0344757
+0.0353434
+0.0363226
+0.0374046
+0.0385808
+0.0545454
+0.0535023
+0.0524174
+0.0513869
+0.0504189
+0.0495033
+0.0486691
+0.0470596
+0.0448693
+0.042679
+0.0404888
+0.0382987
+0.0361085
+0.0339185
+0.0317286
+0.0295388
+0.0273491
+0.0251596
+0.0229704
+0.0207814
+0.0185928
+0.0164048
+0.0142177
+0.0120318
+0.00984803
+0.00766825
+0.00549713
+0.00335124
+0.00124218
+-0.000528798
+-0.00089517
+-0.000296562
+0.000856778
+0.00107342
+-0.000125346
+-0.00117213
+-0.000969506
+-0.00140447
+-0.00259146
+-0.00106217
+0.000935089
+0.0020732
+0.0035224
+0.00540723
+0.00745763
+0.00942924
+0.0114017
+0.0134419
+0.0155232
+0.017631
+0.0197569
+0.021488
+0.0209062
+0.0205428
+0.0204093
+0.0199321
+0.0184181
+0.016797
+0.0149081
+0.0129827
+0.011127
+0.00941636
+0.00786365
+0.00665953
+0.00600345
+0.00599213
+0.00665674
+0.00718814
+0.00712864
+0.00746625
+0.00805177
+0.00899308
+0.0102582
+0.0117976
+0.0134594
+0.0147186
+0.01615
+0.0177004
+0.0193126
+0.0210296
+0.0228278
+0.0246896
+0.0266014
+0.0285181
+0.0304548
+0.0321838
+0.0318212
+0.0315816
+0.0314886
+0.0315479
+0.0317271
+0.032011
+0.0324294
+0.0329482
+0.033559
+0.0342985
+0.0351592
+0.0361323
+0.0372092
+0.0383644
+0.0544506
+0.0534173
+0.0524552
+0.0514852
+0.0505307
+0.0496546
+0.0488315
+0.0471472
+0.0449612
+0.0427756
+0.0405906
+0.0384062
+0.0362226
+0.03404
+0.0318584
+0.0296782
+0.0274996
+0.0253231
+0.0231493
+0.0209779
+0.0188094
+0.016645
+0.0144871
+0.0123406
+0.010213
+0.00811892
+0.00609
+0.00418579
+0.00254209
+0.00145461
+0.000792448
+0.000528219
+0.001278
+0.00140185
+0.000206615
+-0.000977004
+-0.00161207
+-0.00126213
+-0.00231825
+-0.00196617
+-0.000739885
+0.000501935
+0.00249604
+0.00459852
+0.00673135
+0.00886563
+0.0109402
+0.0130527
+0.0151874
+0.0173348
+0.0194887
+0.0216013
+0.0230238
+0.0220639
+0.0204572
+0.0189656
+0.0176123
+0.0160305
+0.01412
+0.0122903
+0.0105929
+0.00908362
+0.00747849
+0.00620149
+0.00546017
+0.00544772
+0.00616971
+0.00697746
+0.00711437
+0.00713265
+0.00772945
+0.00879378
+0.0101855
+0.0118202
+0.0136059
+0.0152888
+0.0167268
+0.0182912
+0.0198554
+0.0215292
+0.0232888
+0.0251164
+0.0269981
+0.0289233
+0.0308839
+0.0322255
+0.0318448
+0.0316011
+0.0314932
+0.0314949
+0.0316037
+0.0318622
+0.032238
+0.0327353
+0.0333494
+0.0340935
+0.0349592
+0.0359378
+0.0370203
+0.0381812
+0.0543926
+0.0534104
+0.0524482
+0.0515596
+0.0507172
+0.0498452
+0.0490556
+0.0473175
+0.0451398
+0.0429634
+0.0407885
+0.0386154
+0.0364444
+0.0342759
+0.0321104
+0.0299486
+0.0277913
+0.0256397
+0.0234953
+0.0213592
+0.0192311
+0.0171188
+0.0150291
+0.0129726
+0.0109619
+0.00902235
+0.00722737
+0.00562213
+0.00435044
+0.0035314
+0.00259655
+0.00241669
+0.00284778
+0.00259264
+0.00133446
+-8.08104e-05
+-0.00138578
+-0.00175903
+-0.00224276
+-0.00351923
+-0.00226519
+-7.63758e-05
+0.00211421
+0.00430479
+0.00649537
+0.00868598
+0.0108429
+0.0129649
+0.0151065
+0.0172605
+0.0193367
+0.0209155
+0.022546
+0.0211881
+0.0195104
+0.0179426
+0.0165172
+0.0151308
+0.0134923
+0.0116282
+0.00980377
+0.00816153
+0.00678007
+0.00583639
+0.00552138
+0.00571148
+0.00632082
+0.00691116
+0.00722118
+0.00726256
+0.0078495
+0.00893413
+0.0103244
+0.0119465
+0.0137158
+0.0155925
+0.0171714
+0.0187215
+0.0203894
+0.0221391
+0.0238805
+0.0256907
+0.0275561
+0.029452
+0.0313796
+0.0322445
+0.0318244
+0.0315511
+0.0314285
+0.0314246
+0.0315336
+0.0317927
+0.0321693
+0.0326676
+0.033283
+0.0340239
+0.0348648
+0.0358201
+0.036881
+0.0380205
+0.0543207
+0.053408
+0.0525103
+0.0516257
+0.0508044
+0.050063
+0.0493346
+0.0475872
+0.0454224
+0.0432602
+0.0411011
+0.0389454
+0.0367939
+0.0346473
+0.0325065
+0.0303729
+0.0282481
+0.0261341
+0.0240338
+0.0219502
+0.0198855
+0.0178508
+0.0158498
+0.0139017
+0.0120374
+0.0103024
+0.00871434
+0.00736593
+0.00633286
+0.00537987
+0.00465826
+0.00450811
+0.00479442
+0.00413848
+0.00268907
+0.00146155
+0.000208585
+-0.00155181
+-0.00280864
+-0.00226019
+-0.00130129
+0.000487591
+0.00247411
+0.00455016
+0.00668607
+0.00884062
+0.0110072
+0.0131814
+0.0153035
+0.0171973
+0.0188032
+0.0204119
+0.0220796
+0.0204673
+0.0187472
+0.0171343
+0.0156389
+0.014273
+0.0126241
+0.0110482
+0.00939643
+0.00766745
+0.00613956
+0.00507823
+0.00473897
+0.00513829
+0.00550219
+0.00614088
+0.00669758
+0.00719695
+0.00806383
+0.00934432
+0.0108322
+0.0123979
+0.0141307
+0.0159764
+0.0177449
+0.0192488
+0.0208746
+0.0225961
+0.0243929
+0.0262496
+0.0280828
+0.0299595
+0.0318763
+0.032298
+0.0318639
+0.0315761
+0.031432
+0.031433
+0.0315658
+0.0318313
+0.0321458
+0.0325957
+0.0331845
+0.0339049
+0.0347487
+0.0357031
+0.0367369
+0.0378602
+0.054313
+0.0534002
+0.0525629
+0.0517685
+0.0509653
+0.0502288
+0.0495757
+0.0479556
+0.0458082
+0.0436651
+0.041527
+0.0393946
+0.0372691
+0.0351515
+0.0330434
+0.0309469
+0.0288643
+0.026799
+0.0247552
+0.0227377
+0.0207427
+0.0187911
+0.0168982
+0.0150862
+0.0133879
+0.0118096
+0.0104138
+0.00924663
+0.00826299
+0.00727978
+0.00676399
+0.00666199
+0.00684404
+0.00569676
+0.00440717
+0.00318486
+0.00130123
+-0.000550485
+-0.00235219
+-0.000699821
+0.000492033
+0.00170083
+0.00347463
+0.00544251
+0.00734888
+0.00936062
+0.0114321
+0.0132582
+0.0150857
+0.0168753
+0.0184521
+0.0200927
+0.0217028
+0.0199602
+0.0181922
+0.0164904
+0.0148687
+0.0133723
+0.0120703
+0.0103357
+0.00866664
+0.0071831
+0.00599461
+0.00510096
+0.00473048
+0.00510612
+0.00534288
+0.005981
+0.00659982
+0.00719136
+0.00805885
+0.00934002
+0.0109095
+0.0126405
+0.0144792
+0.0164046
+0.018378
+0.0198748
+0.0214546
+0.0231329
+0.024891
+0.0267131
+0.028587
+0.0305032
+0.0324541
+0.0324115
+0.0319713
+0.0316706
+0.0315196
+0.0315206
+0.0316442
+0.03181
+0.0321147
+0.0325366
+0.0330984
+0.0337931
+0.0346128
+0.0355487
+0.0365891
+0.0377104
+0.0543835
+0.0534719
+0.0526357
+0.0518786
+0.0512038
+0.0504867
+0.0498395
+0.0484204
+0.0462945
+0.044175
+0.0420628
+0.0399591
+0.0378652
+0.0357829
+0.0337144
+0.0316623
+0.0296301
+0.027622
+0.0256377
+0.0236842
+0.0217759
+0.0199258
+0.0181517
+0.0164781
+0.0149061
+0.0134749
+0.0122314
+0.011225
+0.0101314
+0.00930837
+0.00891078
+0.00882286
+0.00876651
+0.00739821
+0.00616252
+0.00412499
+0.00219383
+0.000424013
+-0.00129523
+-0.000241549
+0.00183872
+0.00328373
+0.00461201
+0.00618417
+0.00790267
+0.00968095
+0.0114231
+0.013197
+0.0150425
+0.0166609
+0.0182562
+0.0199263
+0.020963
+0.0194449
+0.0178003
+0.0160164
+0.01432
+0.0127415
+0.011248
+0.00984737
+0.00801032
+0.00630059
+0.00491732
+0.00414843
+0.00422586
+0.00481964
+0.00559962
+0.0058883
+0.00657733
+0.00762481
+0.00861211
+0.0098159
+0.0113196
+0.0130114
+0.0148042
+0.0166922
+0.0186465
+0.0205692
+0.0221061
+0.0237459
+0.0254671
+0.0272507
+0.02909
+0.0309751
+0.032898
+0.0326498
+0.0322068
+0.0319083
+0.0317585
+0.031661
+0.0316563
+0.0317836
+0.0320605
+0.0324831
+0.0330458
+0.0337416
+0.0345625
+0.0354998
+0.0365416
+0.0376642
+0.0545419
+0.053633
+0.0527994
+0.0520447
+0.0513724
+0.0507668
+0.0501951
+0.0489788
+0.0468783
+0.0447864
+0.0427045
+0.040634
+0.0385768
+0.0365351
+0.0345116
+0.0325099
+0.0305326
+0.0285778
+0.0266598
+0.024787
+0.0229705
+0.0212248
+0.0195688
+0.0180029
+0.0165495
+0.0152612
+0.0141432
+0.0130821
+0.0120787
+0.0113971
+0.0110748
+0.0109922
+0.0104465
+0.0084708
+0.00649922
+0.00468066
+0.00311121
+0.00160622
+0.000620975
+0.00115826
+0.0024305
+0.00405946
+0.005836
+0.00707864
+0.00853448
+0.0101553
+0.0117671
+0.01349
+0.0151733
+0.0167051
+0.0183153
+0.0199865
+0.0203923
+0.0188287
+0.0171278
+0.01555
+0.0140394
+0.0122939
+0.0105933
+0.00898455
+0.00759504
+0.00604352
+0.00457772
+0.00373989
+0.00383073
+0.00444074
+0.00526736
+0.00563482
+0.00637968
+0.00754321
+0.00876902
+0.0102713
+0.0119862
+0.0136665
+0.0154167
+0.0172546
+0.0191522
+0.0211061
+0.0229425
+0.0245265
+0.0261979
+0.0279413
+0.0297439
+0.0315921
+0.0334797
+0.0329451
+0.0324764
+0.032105
+0.0318391
+0.0317175
+0.031708
+0.0318351
+0.0321116
+0.0325335
+0.0330954
+0.0337902
+0.0346082
+0.0355229
+0.0365462
+0.0376692
+0.0547876
+0.0538828
+0.0530531
+0.052302
+0.0516331
+0.0510306
+0.0505133
+0.0496277
+0.0475559
+0.0454952
+0.0434472
+0.0414139
+0.0393974
+0.0374005
+0.0354246
+0.0334688
+0.0315439
+0.0296559
+0.0278123
+0.0260226
+0.0242986
+0.0226555
+0.0210998
+0.0196312
+0.0183076
+0.017115
+0.016064
+0.014978
+0.0140976
+0.0135182
+0.0132469
+0.0131686
+0.0111596
+0.00922005
+0.0073804
+0.00568284
+0.00419208
+0.0031883
+0.00279696
+0.0031312
+0.00402159
+0.00511996
+0.00656212
+0.00821875
+0.00952521
+0.0109514
+0.012389
+0.013927
+0.01547
+0.0169855
+0.0184861
+0.0196723
+0.0197405
+0.0181339
+0.0166609
+0.0150426
+0.0135716
+0.012032
+0.0101985
+0.00846401
+0.00688574
+0.00554904
+0.00453009
+0.004153
+0.00439192
+0.0049297
+0.00568566
+0.00611151
+0.00686552
+0.00801843
+0.00922976
+0.0106674
+0.0123273
+0.014118
+0.0159958
+0.0179446
+0.0198594
+0.0217653
+0.0237158
+0.0253752
+0.0270334
+0.028763
+0.0305283
+0.0323351
+0.033799
+0.0331938
+0.032644
+0.0322339
+0.031964
+0.0318188
+0.0318093
+0.0319361
+0.0322116
+0.0326323
+0.0331924
+0.0338852
+0.0346948
+0.0356025
+0.0366189
+0.0377353
+0.0551193
+0.05422
+0.0533956
+0.0526494
+0.0519849
+0.0513865
+0.0508729
+0.0503636
+0.0483234
+0.0462969
+0.044286
+0.042293
+0.0403183
+0.0383617
+0.0364319
+0.0345332
+0.032671
+0.0308521
+0.0290844
+0.027378
+0.0257449
+0.0241895
+0.0227171
+0.0213601
+0.0201249
+0.0190405
+0.0179438
+0.0169347
+0.0161613
+0.0156584
+0.0154207
+0.0139664
+0.0120888
+0.0102709
+0.00855683
+0.0070056
+0.00578204
+0.00504607
+0.00497776
+0.00525723
+0.00593591
+0.00664115
+0.00780713
+0.00910251
+0.0105116
+0.0119423
+0.0131512
+0.0144094
+0.0157799
+0.0171563
+0.0185846
+0.0195573
+0.0190454
+0.0173832
+0.0158404
+0.0144443
+0.0131996
+0.0116118
+0.0102221
+0.00841177
+0.00672497
+0.00519767
+0.00408092
+0.00379217
+0.00427694
+0.00505743
+0.00552032
+0.00599386
+0.00670946
+0.00791885
+0.00940085
+0.0111155
+0.0129743
+0.014738
+0.0165456
+0.0184364
+0.0203874
+0.0223799
+0.0244045
+0.0262727
+0.0278998
+0.0295788
+0.031321
+0.0331165
+0.0341127
+0.0334346
+0.0328888
+0.0324559
+0.032164
+0.0320198
+0.032025
+0.0321551
+0.0324288
+0.0328434
+0.0333725
+0.0340343
+0.0347695
+0.0356233
+0.0365885
+0.0376565
+0.0554834
+0.0546317
+0.0538136
+0.0530733
+0.0524142
+0.0518327
+0.0513235
+0.0509037
+0.0491766
+0.0471867
+0.045213
+0.0432559
+0.0413224
+0.0394157
+0.0375401
+0.0357004
+0.0339024
+0.0321532
+0.0304611
+0.0288362
+0.0272806
+0.0258057
+0.0244238
+0.0231581
+0.0220051
+0.0209213
+0.0198501
+0.0189428
+0.0182546
+0.0178085
+0.0168754
+0.0150318
+0.0132403
+0.011542
+0.00995994
+0.00863077
+0.00760072
+0.00707201
+0.00709193
+0.00742096
+0.00792661
+0.00842962
+0.00924823
+0.0102638
+0.0114798
+0.0127942
+0.0138136
+0.014966
+0.0162673
+0.0175311
+0.0188233
+0.0196445
+0.018542
+0.0168418
+0.0152316
+0.013774
+0.0125316
+0.011285
+0.00957676
+0.00805349
+0.00670286
+0.00550926
+0.00447245
+0.00420123
+0.0046571
+0.00539912
+0.00580989
+0.00631287
+0.00708709
+0.00825003
+0.00973673
+0.011401
+0.0132197
+0.0151372
+0.0171204
+0.0191389
+0.0210507
+0.0229859
+0.0249353
+0.0265224
+0.0281837
+0.0299134
+0.0317001
+0.0335347
+0.0343244
+0.0336507
+0.0331084
+0.0326784
+0.0323886
+0.0322453
+0.0322497
+0.0323747
+0.0326068
+0.032966
+0.0334396
+0.0340457
+0.0347795
+0.035633
+0.0365979
+0.0376657
+0.0558759
+0.0550385
+0.0542766
+0.0535777
+0.0529249
+0.0523556
+0.0518629
+0.0514474
+0.0501084
+0.048151
+0.0462146
+0.0443018
+0.0424159
+0.0405607
+0.0387406
+0.0369607
+0.0352271
+0.033547
+0.0319289
+0.0303731
+0.0288961
+0.027495
+0.0262024
+0.0250022
+0.0239291
+0.0228136
+0.0218098
+0.0209874
+0.0203684
+0.0198074
+0.0180065
+0.0162574
+0.0145668
+0.0129815
+0.011595
+0.0104129
+0.00957644
+0.00914894
+0.00918164
+0.00959694
+0.00988945
+0.0102072
+0.0108296
+0.0116192
+0.0126735
+0.0137043
+0.0146228
+0.0157293
+0.016917
+0.0180945
+0.0193092
+0.0199054
+0.0182888
+0.0165513
+0.014902
+0.0134085
+0.0121233
+0.0108858
+0.00923245
+0.0075031
+0.00599963
+0.00487082
+0.00433599
+0.00446879
+0.00492203
+0.00560362
+0.00591019
+0.00679757
+0.00768844
+0.00898125
+0.0104742
+0.012042
+0.0137784
+0.0156275
+0.0175554
+0.0195388
+0.0215623
+0.023164
+0.0246831
+0.0262966
+0.0279847
+0.0297259
+0.0315232
+0.0333676
+0.0346736
+0.0339889
+0.0334244
+0.0329879
+0.0326724
+0.0324805
+0.0323999
+0.0324671
+0.0326814
+0.0330399
+0.0335222
+0.0341268
+0.0348589
+0.0357105
+0.0366724
+0.0377142
+0.0563415
+0.0555111
+0.0547558
+0.0540713
+0.0534593
+0.0529309
+0.0524723
+0.0520649
+0.051108
+0.0491904
+0.0472965
+0.0454293
+0.0435923
+0.0417893
+0.0400251
+0.0383049
+0.0366349
+0.0350224
+0.0334667
+0.0319852
+0.0305715
+0.0292508
+0.0280212
+0.0268984
+0.0257943
+0.0247326
+0.0238098
+0.0230588
+0.0224969
+0.0208641
+0.0191627
+0.0175593
+0.0160323
+0.0146068
+0.0133522
+0.0123273
+0.0116294
+0.0112633
+0.0112908
+0.0116677
+0.0118504
+0.0120833
+0.0125385
+0.0131931
+0.0140056
+0.0148209
+0.0156639
+0.0166859
+0.0177636
+0.0188884
+0.019991
+0.0201124
+0.0182766
+0.0165094
+0.0148555
+0.0133561
+0.0118716
+0.0105239
+0.00922165
+0.0074603
+0.00583428
+0.00460473
+0.00401639
+0.00414265
+0.00473555
+0.00563195
+0.00608701
+0.00695258
+0.00818083
+0.00940621
+0.0109374
+0.0126489
+0.0144614
+0.0163666
+0.0182448
+0.0201326
+0.0216605
+0.0230897
+0.0246133
+0.0262312
+0.0279273
+0.0296882
+0.0314981
+0.0333072
+0.0349706
+0.0343733
+0.0337868
+0.0332794
+0.0329103
+0.0326842
+0.032604
+0.0326708
+0.0328731
+0.0332017
+0.0336698
+0.0342718
+0.0350009
+0.0358419
+0.0367773
+0.0378162
+0.0568877
+0.0560654
+0.0553176
+0.0546403
+0.0540347
+0.053512
+0.0530746
+0.0527203
+0.0521804
+0.0503037
+0.0484534
+0.0466325
+0.0448448
+0.0430943
+0.0413857
+0.0397245
+0.0381165
+0.036561
+0.0350733
+0.033652
+0.0323086
+0.0310558
+0.0298865
+0.028793
+0.0276935
+0.0266934
+0.0258407
+0.0251505
+0.0237819
+0.022088
+0.0204753
+0.0189762
+0.0176225
+0.0163502
+0.0152123
+0.0143212
+0.0137251
+0.0134022
+0.0134253
+0.0137522
+0.0138512
+0.0139561
+0.0143266
+0.0148291
+0.0154209
+0.0161068
+0.0168402
+0.0177977
+0.0188059
+0.0197781
+0.0208645
+0.0203234
+0.0184925
+0.0167481
+0.0151153
+0.0134683
+0.0119101
+0.0104528
+0.00883476
+0.00739515
+0.00630105
+0.00517908
+0.00466105
+0.00482734
+0.00534861
+0.00629192
+0.00679787
+0.00743552
+0.00853278
+0.00999639
+0.0116538
+0.0133294
+0.0151002
+0.0169417
+0.0187535
+0.0203362
+0.0218023
+0.0232227
+0.0247382
+0.0263484
+0.0280373
+0.0297917
+0.0314492
+0.0330609
+0.0347361
+0.0346508
+0.0340972
+0.0336212
+0.0332516
+0.0329997
+0.0328922
+0.0329303
+0.0331136
+0.0334398
+0.0339046
+0.0345026
+0.0352268
+0.0360577
+0.0369722
+0.0379806
+0.0573966
+0.0566648
+0.0559572
+0.0552902
+0.0546918
+0.0541755
+0.0537435
+0.0533936
+0.0531187
+0.0514862
+0.04968
+0.0479058
+0.0461674
+0.0444689
+0.0428152
+0.0412111
+0.0396559
+0.0381631
+0.0367354
+0.0353735
+0.034098
+0.0328949
+0.0317932
+0.0306754
+0.0296204
+0.0286875
+0.0278959
+0.0267404
+0.0250535
+0.023438
+0.0219226
+0.0205295
+0.0192851
+0.0181676
+0.0171507
+0.0163655
+0.0158414
+0.0155555
+0.0155754
+0.0158654
+0.0158054
+0.0158548
+0.0161209
+0.0165014
+0.0169281
+0.0174951
+0.0181757
+0.0189966
+0.0198631
+0.0208043
+0.0217212
+0.0204071
+0.0186344
+0.0169594
+0.0154143
+0.0138413
+0.012313
+0.0105495
+0.00888272
+0.00740569
+0.00621833
+0.00552285
+0.00540973
+0.00567264
+0.00606816
+0.00650552
+0.00677961
+0.00749224
+0.00863871
+0.0100957
+0.0117746
+0.0135999
+0.01552
+0.0173765
+0.0188762
+0.020404
+0.0219832
+0.0235596
+0.0250547
+0.0266457
+0.028317
+0.0297982
+0.0313417
+0.0329576
+0.0346111
+0.0350632
+0.0345163
+0.0340146
+0.033626
+0.033377
+0.0332706
+0.0333083
+0.0334896
+0.0338043
+0.0342359
+0.0347865
+0.0354635
+0.0362603
+0.0371597
+0.0381631
+0.0579383
+0.0572135
+0.0565642
+0.0559881
+0.0554141
+0.0549184
+0.0544923
+0.0541473
+0.0538762
+0.0527333
+0.0509712
+0.0492436
+0.0475541
+0.045907
+0.0443061
+0.0427513
+0.0412542
+0.0398211
+0.0384436
+0.0371444
+0.0359186
+0.0347747
+0.033667
+0.032579
+0.0315817
+0.0307085
+0.0297273
+0.028046
+0.0264318
+0.0249059
+0.0234854
+0.0221906
+0.0210447
+0.0200448
+0.0191436
+0.0184434
+0.0179696
+0.017718
+0.0177355
+0.0179971
+0.0177767
+0.0177731
+0.0179147
+0.0181998
+0.01849
+0.0189756
+0.019585
+0.0202607
+0.021072
+0.0219634
+0.0223194
+0.0204794
+0.0187133
+0.0170461
+0.0154814
+0.0140477
+0.0125539
+0.0109931
+0.00935875
+0.00790098
+0.00673219
+0.00599966
+0.00584266
+0.00605095
+0.00652428
+0.00690102
+0.00729566
+0.00802775
+0.00912548
+0.0105271
+0.0121465
+0.0139232
+0.0158041
+0.0177286
+0.0192042
+0.0207048
+0.0222936
+0.0239048
+0.0254102
+0.0268221
+0.0282926
+0.0298027
+0.0313457
+0.0329479
+0.0346019
+0.0355384
+0.0348976
+0.0343847
+0.0340038
+0.0337576
+0.0336525
+0.0336899
+0.0338692
+0.0341657
+0.0345782
+0.0351227
+0.0357932
+0.0365829
+0.0374643
+0.0384356
+0.0585445
+0.05784
+0.0571978
+0.0566332
+0.0561482
+0.0556739
+0.0552705
+0.0549515
+0.054711
+0.0540404
+0.0523224
+0.0506408
+0.0489996
+0.0474015
+0.045847
+0.0443462
+0.0429048
+0.041518
+0.0401987
+0.038954
+0.037775
+0.0366763
+0.0355613
+0.0345113
+0.0335714
+0.0327349
+0.0310592
+0.0294473
+0.0279142
+0.0264739
+0.0251421
+0.0239371
+0.0228788
+0.021954
+0.0211756
+0.0205448
+0.0201111
+0.0198866
+0.0199022
+0.019996
+0.0197688
+0.0196673
+0.0197701
+0.0198858
+0.0201639
+0.0205331
+0.0210754
+0.0216685
+0.0224303
+0.0232709
+0.0225534
+0.0207326
+0.0189901
+0.0173495
+0.0158008
+0.0143557
+0.0125927
+0.0109318
+0.0094506
+0.00822184
+0.0073699
+0.00701451
+0.00684201
+0.00702071
+0.00748708
+0.00784253
+0.00827798
+0.00897687
+0.0100086
+0.0113554
+0.0128757
+0.0145636
+0.0163711
+0.0182627
+0.0197327
+0.0212004
+0.0227553
+0.0242259
+0.0255731
+0.0269542
+0.0284179
+0.0299451
+0.031481
+0.033083
+0.0347153
+0.0359752
+0.0353424
+0.034836
+0.0344569
+0.034214
+0.0341103
+0.0341472
+0.0343241
+0.0346256
+0.0350217
+0.0355487
+0.0361763
+0.0369223
+0.0377808
+0.0387319
+0.0591282
+0.0585128
+0.0579075
+0.0573498
+0.0568709
+0.0564574
+0.0561039
+0.0557896
+0.0555601
+0.0554033
+0.0537289
+0.0520928
+0.0504973
+0.048943
+0.047439
+0.0459902
+0.0445956
+0.0432593
+0.0419948
+0.0407899
+0.0396655
+0.0385472
+0.037468
+0.0364727
+0.0355846
+0.0340877
+0.0324782
+0.0309403
+0.029485
+0.0281252
+0.0268754
+0.0257516
+0.0247702
+0.0239116
+0.0232284
+0.0226631
+0.0222622
+0.0220597
+0.0220737
+0.0220209
+0.0217099
+0.0216018
+0.0215753
+0.0216297
+0.0218444
+0.0221917
+0.0226345
+0.0231771
+0.0238764
+0.024565
+0.0228113
+0.0211274
+0.0194982
+0.0178824
+0.0163109
+0.0145793
+0.0128117
+0.0111834
+0.00972215
+0.00848936
+0.007649
+0.00729683
+0.00746999
+0.00813475
+0.00884984
+0.00918163
+0.00959954
+0.0102331
+0.0112227
+0.0124471
+0.0139032
+0.0154901
+0.0172005
+0.0190097
+0.0204714
+0.0218897
+0.0233689
+0.0245683
+0.0258977
+0.0272624
+0.0287103
+0.0302459
+0.0317625
+0.0333352
+0.0349533
+0.0365384
+0.0359155
+0.0354144
+0.0350414
+0.0348026
+0.0347006
+0.0347368
+0.0348947
+0.035133
+0.0354974
+0.0359917
+0.0366028
+0.0373154
+0.0381177
+0.0390014
+0.0597864
+0.0591779
+0.0586449
+0.0581323
+0.0576678
+0.0572601
+0.0569331
+0.056689
+0.056467
+0.0563253
+0.0551865
+0.0535933
+0.0520393
+0.0505325
+0.0490772
+0.0476759
+0.0463248
+0.0450398
+0.0438164
+0.0426593
+0.0415496
+0.0404458
+0.039404
+0.0384589
+0.0371276
+0.0355208
+0.0339793
+0.0325124
+0.0311307
+0.029846
+0.0286713
+0.0276207
+0.026701
+0.0259061
+0.0252678
+0.0247939
+0.0244204
+0.0242358
+0.0242486
+0.0239787
+0.0236946
+0.0235265
+0.0234017
+0.0234486
+0.0236082
+0.0239158
+0.0242643
+0.0247849
+0.0253534
+0.0248344
+0.0231012
+0.0214399
+0.019854
+0.0183923
+0.0168775
+0.0150685
+0.0133384
+0.0117526
+0.0103265
+0.00916289
+0.00837361
+0.00804331
+0.00820535
+0.00882803
+0.00978636
+0.0103408
+0.0110112
+0.0117663
+0.0126364
+0.0138025
+0.0151289
+0.0166388
+0.0182565
+0.0199703
+0.0214016
+0.0227697
+0.0239251
+0.0250979
+0.0264007
+0.0277406
+0.0291648
+0.0306796
+0.0321742
+0.0337098
+0.0353013
+0.0369541
+0.0365924
+0.0360988
+0.0357328
+0.0354805
+0.03533
+0.0353129
+0.0354052
+0.0355802
+0.0358883
+0.0363261
+0.0368891
+0.0375689
+0.0383403
+0.039219
+0.0604669
+0.0598658
+0.0593396
+0.0588675
+0.0584331
+0.0580781
+0.057804
+0.0575719
+0.0574141
+0.0572939
+0.0566896
+0.0551358
+0.0536265
+0.0521656
+0.0507571
+0.0493944
+0.0480916
+0.0468523
+0.045667
+0.044558
+0.0434315
+0.0423591
+0.0413655
+0.0401764
+0.0385722
+0.0370281
+0.0355521
+0.0341528
+0.0328402
+0.031625
+0.0305188
+0.029534
+0.0286683
+0.0279204
+0.027327
+0.0268995
+0.0265839
+0.0264144
+0.0263908
+0.0259615
+0.0256968
+0.025405
+0.0252831
+0.0252944
+0.0254172
+0.0256521
+0.0259767
+0.0264031
+0.0269147
+0.0252914
+0.0235918
+0.0219618
+0.020416
+0.0189975
+0.0175544
+0.0157851
+0.014126
+0.0126224
+0.0112998
+0.0102431
+0.00949791
+0.00920198
+0.00934395
+0.00993104
+0.0108902
+0.0113129
+0.0119746
+0.0127122
+0.0137261
+0.0149438
+0.0163543
+0.0179222
+0.0194802
+0.021112
+0.0225015
+0.0235877
+0.0246279
+0.0257908
+0.0270339
+0.028346
+0.0297511
+0.0312185
+0.0326947
+0.034211
+0.0357802
+0.0374119
+0.0372438
+0.0367589
+0.0363938
+0.036062
+0.0358343
+0.0357396
+0.0357791
+0.0359523
+0.0362572
+0.0366907
+0.0372481
+0.0379215
+0.0386859
+0.0395569
+0.0611616
+0.0605674
+0.0600472
+0.0596026
+0.0592208
+0.0588956
+0.0586253
+0.0584359
+0.0583198
+0.0582784
+0.0582325
+0.056721
+0.055255
+0.0538382
+0.0524674
+0.051149
+0.0498921
+0.0486861
+0.0475466
+0.0464282
+0.0453333
+0.0442981
+0.0432322
+0.0416305
+0.0400845
+0.038601
+0.0371874
+0.035852
+0.0346039
+0.0334529
+0.0324092
+0.0314835
+0.0306567
+0.0299575
+0.0294053
+0.0290084
+0.0287515
+0.0285949
+0.0283741
+0.0279753
+0.0276055
+0.0273299
+0.0271976
+0.0271655
+0.0272799
+0.0274535
+0.0277166
+0.0280624
+0.0276558
+0.0259261
+0.0242709
+0.0226822
+0.0211891
+0.019826
+0.018409
+0.0167304
+0.0151721
+0.0137687
+0.0125511
+0.0115719
+0.0109178
+0.0106521
+0.0107749
+0.0113282
+0.0121859
+0.0125948
+0.0131924
+0.0138653
+0.0148004
+0.0159651
+0.0172988
+0.0187881
+0.0204042
+0.0221069
+0.0234799
+0.0244066
+0.0253929
+0.0265187
+0.0277288
+0.0290096
+0.0303836
+0.0318267
+0.0332998
+0.0348256
+0.036385
+0.0379907
+0.0378093
+0.0373069
+0.0369141
+0.0365607
+0.0363361
+0.0362427
+0.0362817
+0.0364525
+0.0367533
+0.0371809
+0.0377125
+0.0383319
+0.0390646
+0.0398915
+0.0619259
+0.0613391
+0.0608256
+0.0603867
+0.0600099
+0.059711
+0.0594894
+0.0593028
+0.0591967
+0.0591716
+0.0592146
+0.0583453
+0.0569212
+0.0555431
+0.0542111
+0.0529362
+0.0517145
+0.0505483
+0.0494373
+0.0483187
+0.0472517
+0.0462595
+0.0446943
+0.0431468
+0.0416572
+0.0402317
+0.0388774
+0.0376021
+0.0364141
+0.035322
+0.0343352
+0.0334562
+0.0326701
+0.0320149
+0.0314987
+0.0311285
+0.0309095
+0.0307768
+0.030386
+0.0299651
+0.0295495
+0.0292709
+0.0291325
+0.0290769
+0.029158
+0.0292581
+0.0294654
+0.0297851
+0.0282037
+0.0265492
+0.024962
+0.0234647
+0.0220835
+0.0208169
+0.0194715
+0.0178928
+0.0164278
+0.0151071
+0.0140004
+0.0131262
+0.0125533
+0.0123229
+0.0124293
+0.0129119
+0.0134851
+0.0140814
+0.0146385
+0.0152477
+0.0161027
+0.0171794
+0.0184459
+0.0198589
+0.0213943
+0.023036
+0.02454
+0.0253644
+0.0263149
+0.0274028
+0.0285752
+0.029809
+0.0311343
+0.0325471
+0.0339934
+0.035516
+0.0370806
+0.0386684
+0.0383759
+0.0378523
+0.0374147
+0.037066
+0.0368445
+0.0367524
+0.0367907
+0.036934
+0.037206
+0.0376038
+0.0381084
+0.0386975
+0.0393999
+0.0402094
+0.0627575
+0.0621785
+0.061672
+0.0612392
+0.0608677
+0.0605729
+0.0603563
+0.0602169
+0.0601124
+0.0600877
+0.0601429
+0.0600057
+0.0586212
+0.057277
+0.0559862
+0.0547507
+0.053561
+0.0524359
+0.0513105
+0.0502228
+0.049193
+0.0477625
+0.0462139
+0.0447191
+0.0432836
+0.0419135
+0.0406154
+0.0393963
+0.038264
+0.0372263
+0.0362913
+0.0354459
+0.034705
+0.0340889
+0.0336046
+0.0332579
+0.033053
+0.032912
+0.032421
+0.0319108
+0.031512
+0.0312302
+0.0310503
+0.030996
+0.0310246
+0.0310994
+0.0312644
+0.0304281
+0.0287347
+0.0271127
+0.0255756
+0.0241221
+0.0227807
+0.0215769
+0.0205142
+0.0191663
+0.017826
+0.0166252
+0.0156204
+0.0148419
+0.0142943
+0.0139156
+0.0138347
+0.0140733
+0.0146047
+0.0152834
+0.0159629
+0.0165492
+0.0173723
+0.0183903
+0.0196011
+0.0209715
+0.0224645
+0.0240507
+0.0256442
+0.0264295
+0.0273278
+0.0283672
+0.02948
+0.0306928
+0.0319927
+0.0333745
+0.034799
+0.0362878
+0.037845
+0.0394383
+0.0389067
+0.0383218
+0.0378549
+0.0375103
+0.0372914
+0.0372004
+0.0372134
+0.0373551
+0.037624
+0.0380174
+0.0385316
+0.039148
+0.0398424
+0.0406431
+0.0636536
+0.0630829
+0.0625837
+0.0621572
+0.0617912
+0.0615009
+0.0612876
+0.061152
+0.0610925
+0.0610682
+0.0611225
+0.0612551
+0.0603461
+0.0590412
+0.0577898
+0.056583
+0.0554326
+0.0543142
+0.053208
+0.0521455
+0.0508343
+0.0492849
+0.0477857
+0.0463417
+0.044958
+0.0436405
+0.0423952
+0.0412289
+0.0401483
+0.0391605
+0.0382658
+0.0374581
+0.0367578
+0.0361767
+0.0357207
+0.0353947
+0.0352022
+0.0349373
+0.0343891
+0.0338807
+0.0334835
+0.0331961
+0.0330002
+0.0329476
+0.0329004
+0.0329552
+0.0327877
+0.0310685
+0.029412
+0.0278295
+0.0263343
+0.024942
+0.0236609
+0.0224902
+0.0211858
+0.0197398
+0.0184413
+0.0173233
+0.0164019
+0.0157026
+0.0152879
+0.015181
+0.0152407
+0.0154576
+0.0159454
+0.0165719
+0.0172501
+0.017794
+0.0185818
+0.0195651
+0.0207073
+0.0220089
+0.0234359
+0.0249605
+0.0265784
+0.027565
+0.0284274
+0.029428
+0.030502
+0.0316757
+0.0329533
+0.0343069
+0.0357209
+0.0371729
+0.0386944
+0.0401115
+0.0394229
+0.0388459
+0.0383853
+0.0380455
+0.0378298
+0.0377401
+0.0377586
+0.0378983
+0.0381634
+0.0385513
+0.0390585
+0.0396802
+0.0402769
+0.0409786
+0.0646116
+0.0640494
+0.0635578
+0.0631379
+0.0627777
+0.0624919
+0.062282
+0.0621486
+0.0620923
+0.062101
+0.0621543
+0.0622847
+0.0621004
+0.0608331
+0.0596127
+0.0584399
+0.0573268
+0.0561957
+0.055114
+0.0539091
+0.0523591
+0.0508562
+0.0494047
+0.0480093
+0.0466751
+0.0454074
+0.044212
+0.0430949
+0.0420622
+0.0411203
+0.0402563
+0.0394893
+0.0388256
+0.0382759
+0.0378453
+0.0375377
+0.0373563
+0.0369551
+0.0363558
+0.0358561
+0.0354806
+0.0351634
+0.0349785
+0.0348802
+0.0348097
+0.034849
+0.0335262
+0.0318469
+0.0302332
+0.028696
+0.027246
+0.0258983
+0.0246674
+0.0234394
+0.0219261
+0.0205323
+0.0192871
+0.0182212
+0.0173464
+0.0166868
+0.0162971
+0.0161962
+0.0163352
+0.0167607
+0.0174265
+0.0180352
+0.0187056
+0.0192083
+0.0199404
+0.0208776
+0.0219616
+0.023193
+0.0245583
+0.0260234
+0.0275789
+0.028807
+0.0296483
+0.030609
+0.0316428
+0.0327757
+0.0338583
+0.0349018
+0.0360484
+0.0372886
+0.0385968
+0.039975
+0.0400348
+0.0394667
+0.0390135
+0.0386792
+0.038467
+0.0383788
+0.0384156
+0.0385585
+0.038819
+0.0391595
+0.0395771
+0.0400521
+0.0406397
+0.0413352
+0.0656166
+0.0650754
+0.0645916
+0.0641784
+0.0638241
+0.0635431
+0.0633366
+0.0632054
+0.0631501
+0.0631706
+0.0632453
+0.0633735
+0.0635769
+0.0626492
+0.0614562
+0.0603193
+0.0591948
+0.0580961
+0.0569865
+0.0554359
+0.0539298
+0.0524719
+0.0510663
+0.0497176
+0.0484305
+0.04721
+0.0460614
+0.0449902
+0.044002
+0.0430903
+0.0422666
+0.0415367
+0.0409063
+0.0403849
+0.039977
+0.0396859
+0.0395144
+0.0389151
+0.0383305
+0.0378553
+0.0374582
+0.0371557
+0.0369808
+0.0368172
+0.0367463
+0.0360807
+0.0343866
+0.0327514
+0.0311845
+0.0296949
+0.0282942
+0.0269989
+0.0258205
+0.0243088
+0.0228531
+0.0215194
+0.0203348
+0.0193154
+0.0184672
+0.017849
+0.0174852
+0.0173907
+0.0175205
+0.017918
+0.0185671
+0.0194019
+0.0200592
+0.0207579
+0.0214371
+0.0223116
+0.0233403
+0.0245039
+0.0258
+0.027211
+0.0282395
+0.0285613
+0.0290063
+0.0296071
+0.0303544
+0.0312238
+0.0322037
+0.0332985
+0.0344871
+0.0357554
+0.0371098
+0.0385413
+0.0396989
+0.0401975
+0.0397526
+0.0394246
+0.0392113
+0.0391011
+0.0390814
+0.039169
+0.0393592
+0.0396654
+0.0400518
+0.0405211
+0.0411021
+0.0417899
+0.0666487
+0.0661179
+0.0656559
+0.0652642
+0.0649275
+0.0646513
+0.0644484
+0.0643195
+0.0642651
+0.0642853
+0.0643801
+0.0645182
+0.064718
+0.0644803
+0.0633218
+0.0622035
+0.061083
+0.0600064
+0.058515
+0.057006
+0.0555424
+0.054128
+0.0527666
+0.0514625
+0.0502201
+0.0490441
+0.0479395
+0.0469112
+0.0459585
+0.0450807
+0.044294
+0.0435981
+0.0429978
+0.0425021
+0.0421147
+0.0418385
+0.0415445
+0.0408899
+0.040326
+0.0398545
+0.0394562
+0.0391692
+0.0389609
+0.0387748
+0.0387016
+0.0370085
+0.0353589
+0.0337708
+0.0322535
+0.0308156
+0.0294683
+0.0282268
+0.0268367
+0.0253382
+0.0239452
+0.0226758
+0.0215507
+0.0205618
+0.0197671
+0.0191909
+0.018853
+0.0187657
+0.0188865
+0.0192557
+0.0198599
+0.0206381
+0.021376
+0.0220941
+0.0229771
+0.0238608
+0.0248254
+0.0257467
+0.0262267
+0.0263149
+0.0264663
+0.0267672
+0.0272415
+0.0278803
+0.0286727
+0.0295728
+0.0306
+0.0317314
+0.0329603
+0.0342851
+0.0356954
+0.0371813
+0.0383558
+0.0396099
+0.0404772
+0.040132
+0.0398727
+0.0397177
+0.0396831
+0.0397693
+0.0399069
+0.0401396
+0.0404896
+0.040954
+0.0415289
+0.0422098
+0.0677359
+0.0672137
+0.0667593
+0.0663741
+0.0660552
+0.0657837
+0.0655843
+0.0654577
+0.0654042
+0.0654241
+0.0655172
+0.0656834
+0.0659123
+0.0661805
+0.0652077
+0.064078
+0.0629854
+0.061596
+0.0600845
+0.0586159
+0.0571936
+0.055821
+0.0545019
+0.0532403
+0.0520404
+0.0509065
+0.0498431
+0.0488545
+0.0479298
+0.0470888
+0.0463362
+0.0456715
+0.0450988
+0.0446265
+0.0442577
+0.0439949
+0.0435195
+0.0428783
+0.04233
+0.0418581
+0.0414738
+0.0412008
+0.0409286
+0.0407509
+0.0396992
+0.03804
+0.0364371
+0.0348982
+0.033432
+0.0320471
+0.0307537
+0.0293793
+0.0279448
+0.0265091
+0.0251809
+0.0239765
+0.0228831
+0.0219543
+0.0212118
+0.0206759
+0.0203627
+0.0202769
+0.0203872
+0.0207297
+0.0212921
+0.0220177
+0.0228275
+0.0232874
+0.0232331
+0.0233768
+0.0236961
+0.0241736
+0.024581
+0.0245541
+0.0247142
+0.0250362
+0.0255426
+0.0262229
+0.0270335
+0.0279826
+0.0290438
+0.0302232
+0.0315109
+0.0328942
+0.0343616
+0.0358852
+0.0370935
+0.0383889
+0.0397629
+0.0408492
+0.0405797
+0.0404103
+0.0403073
+0.0403233
+0.0404544
+0.040684
+0.0410169
+0.041453
+0.0419989
+0.0426505
+0.0688756
+0.0683621
+0.067915
+0.0675247
+0.0671958
+0.066929
+0.066733
+0.0666085
+0.066556
+0.0665755
+0.0666671
+0.0668303
+0.0670648
+0.0673697
+0.0670824
+0.065972
+0.0646767
+0.063163
+0.0616899
+0.0602604
+0.0588778
+0.0575454
+0.0562668
+0.0550456
+0.0538859
+0.0527917
+0.051767
+0.0508082
+0.0499195
+0.0491126
+0.0483915
+0.0477553
+0.047208
+0.0467569
+0.0464051
+0.0461546
+0.0454983
+0.0448819
+0.0443314
+0.0438762
+0.0435081
+0.0431974
+0.0429174
+0.0424454
+0.0407644
+0.0391252
+0.0375421
+0.0360227
+0.0345754
+0.033199
+0.0317948
+0.0304084
+0.0291209
+0.0277904
+0.0265277
+0.025364
+0.0243328
+0.0234614
+0.0227682
+0.0222697
+0.0219792
+0.0218998
+0.022002
+0.0223197
+0.022843
+0.0222523
+0.0218352
+0.0216184
+0.0215941
+0.0217779
+0.0221668
+0.0227031
+0.0228944
+0.0228655
+0.0230231
+0.0233684
+0.0239102
+0.024621
+0.0254606
+0.0264379
+0.0275547
+0.0287951
+0.0301438
+0.0315871
+0.0331106
+0.0346714
+0.0359206
+0.0372568
+0.038671
+0.040155
+0.0411591
+0.0409182
+0.0407937
+0.0407867
+0.0408972
+0.0411243
+0.0414638
+0.0418956
+0.0424358
+0.0430808
+0.070054
+0.0695479
+0.0690963
+0.0687108
+0.0683876
+0.0681254
+0.0679329
+0.0678106
+0.067759
+0.0677782
+0.0678681
+0.0680285
+0.0682589
+0.0685585
+0.0689265
+0.0677588
+0.066243
+0.0647659
+0.0633301
+0.0619385
+0.0605942
+0.0593004
+0.0580604
+0.0568778
+0.0557562
+0.0546994
+0.0537107
+0.0527803
+0.0519254
+0.0511501
+0.0504581
+0.0498484
+0.0493242
+0.0488927
+0.0485563
+0.0481742
+0.0474958
+0.046879
+0.046348
+0.0459085
+0.0455569
+0.0451925
+0.0449249
+0.0432561
+0.0415995
+0.0399943
+0.038447
+0.0369648
+0.0355559
+0.0342189
+0.0328943
+0.0315562
+0.0303122
+0.0291672
+0.0279629
+0.0268585
+0.0258869
+0.0250696
+0.024422
+0.023958
+0.0236882
+0.0234463
+0.0230235
+0.022146
+0.0212943
+0.0206342
+0.0201838
+0.0199292
+0.0199028
+0.0201164
+0.0205388
+0.0211594
+0.0212997
+0.0212686
+0.021419
+0.0217897
+0.0223552
+0.0230674
+0.0239495
+0.0249856
+0.0261644
+0.0274677
+0.0288785
+0.0303751
+0.0319417
+0.0335569
+0.034846
+0.0362219
+0.0376728
+0.0391913
+0.040771
+0.04146
+0.0413371
+0.0413302
+0.0414392
+0.0416633
+0.0420007
+0.0424303
+0.0429639
+0.0436011
+0.0712777
+0.0707688
+0.0703242
+0.0699454
+0.0696279
+0.0693704
+0.0691814
+0.0690613
+0.0690106
+0.0690295
+0.0691178
+0.0692753
+0.0695015
+0.0697958
+0.0701573
+0.0693247
+0.0678439
+0.0664024
+0.0650028
+0.0636478
+0.0623404
+0.0610835
+0.0598805
+0.0587345
+0.0576491
+0.0566276
+0.0556664
+0.054769
+0.0539456
+0.0531998
+0.0525348
+0.0519494
+0.0514467
+0.0510332
+0.050711
+0.0501618
+0.0494895
+0.0488887
+0.0483798
+0.0479549
+0.0475607
+0.0472049
+0.0458216
+0.0441526
+0.0425309
+0.0409623
+0.0394529
+0.03801
+0.0366412
+0.0353353
+0.0340365
+0.032764
+0.0315139
+0.0303406
+0.0292837
+0.0281869
+0.0268268
+0.0255823
+0.024471
+0.0235018
+0.0227014
+0.0220899
+0.0216597
+0.0206755
+0.0197893
+0.019069
+0.0185806
+0.0183153
+0.0182868
+0.0185193
+0.0189794
+0.0196478
+0.0198083
+0.0197606
+0.0199224
+0.0203079
+0.0208607
+0.0216192
+0.0225498
+0.0236473
+0.0248896
+0.0262562
+0.0277161
+0.0292609
+0.0308841
+0.0325327
+0.033857
+0.0352678
+0.0367551
+0.03831
+0.0399246
+0.0415919
+0.0419879
+0.0419811
+0.0420885
+0.0423091
+0.0426413
+0.0430646
+0.0435904
+0.0442185
+0.0725351
+0.0720348
+0.071598
+0.0712259
+0.0709143
+0.0706614
+0.0704759
+0.070358
+0.0703083
+0.0703267
+0.0704134
+0.070568
+0.0707901
+0.0710791
+0.0714341
+0.0709237
+0.069477
+0.0680701
+0.0667055
+0.0653858
+0.0641138
+0.0628924
+0.0617246
+0.0606135
+0.0595623
+0.0585739
+0.0576388
+0.0567726
+0.0559787
+0.0552603
+0.0546204
+0.0540576
+0.0535747
+0.0531777
+0.0528594
+0.0521532
+0.0514905
+0.0509134
+0.0504249
+0.0499963
+0.0495738
+0.0484494
+0.0467715
+0.0451376
+0.0435527
+0.0420222
+0.0405523
+0.0391493
+0.0378012
+0.0364738
+0.0351667
+0.0336389
+0.0319319
+0.0302873
+0.0287156
+0.0272281
+0.0258176
+0.0245219
+0.0233602
+0.0223509
+0.0215077
+0.0208613
+0.0203964
+0.0193067
+0.0183564
+0.0175778
+0.0170469
+0.0167775
+0.0167465
+0.0170002
+0.0175055
+0.018229
+0.0184469
+0.0183637
+0.0184876
+0.0188663
+0.0194697
+0.0202796
+0.0212688
+0.0224291
+0.0237352
+0.0251577
+0.0266708
+0.0282729
+0.0299496
+0.0316176
+0.0329787
+0.0344255
+0.0359477
+0.037536
+0.0391825
+0.0408741
+0.042608
+0.0427345
+0.04284
+0.0430568
+0.0433833
+0.0437994
+0.0443164
+0.0449345
+0.0736997
+0.0733443
+0.0729154
+0.0725497
+0.0722362
+0.071988
+0.0718058
+0.0716901
+0.0716412
+0.0716594
+0.0717444
+0.0718961
+0.0721141
+0.0723977
+0.0727462
+0.0725536
+0.0711401
+0.0697667
+0.0684359
+0.0671503
+0.0659123
+0.0647249
+0.0635908
+0.0625129
+0.0614941
+0.0605311
+0.0596264
+0.0587895
+0.0580232
+0.0573305
+0.0567139
+0.0561721
+0.0557075
+0.0553258
+0.0548527
+0.0541446
+0.0535064
+0.0529512
+0.0524817
+0.052015
+0.0511299
+0.0494459
+0.047803
+0.0462057
+0.0446586
+0.0431674
+0.041736
+0.0403543
+0.0384632
+0.0365882
+0.0347501
+0.0329552
+0.0312109
+0.0295261
+0.0279117
+0.0263805
+0.0249479
+0.0236176
+0.022409
+0.0213549
+0.0204706
+0.0197904
+0.0192883
+0.0180753
+0.0170585
+0.0162312
+0.0156549
+0.015366
+0.0153322
+0.0156088
+0.0161571
+0.0169383
+0.0171608
+0.0170288
+0.0171623
+0.0175696
+0.018216
+0.0190764
+0.0201248
+0.0213473
+0.0227101
+0.024186
+0.0257639
+0.0274246
+0.0291502
+0.0308313
+0.0322256
+0.0337048
+0.0352567
+0.0368648
+0.0385302
+0.0402459
+0.0420058
+0.0435851
+0.0436885
+0.0439012
+0.0442214
+0.0446297
+0.04512
+0.0456866
+0.0747343
+0.0744111
+0.0741513
+0.0739027
+0.0735949
+0.0733513
+0.0731725
+0.073059
+0.0730111
+0.0730288
+0.0731123
+0.0732612
+0.0734751
+0.0737535
+0.0740956
+0.0742124
+0.0728311
+0.0714902
+0.0701921
+0.0689392
+0.067734
+0.066579
+0.065477
+0.0644307
+0.0634425
+0.0625036
+0.0616279
+0.0608185
+0.0600781
+0.0594093
+0.0588146
+0.0582923
+0.0578447
+0.0574772
+0.0568436
+0.0561506
+0.0555355
+0.0550008
+0.0545004
+0.0538549
+0.0521672
+0.0505178
+0.048911
+0.047351
+0.0458285
+0.0438402
+0.0418721
+0.0399225
+0.0379933
+0.0360939
+0.0342293
+0.0324056
+0.0306299
+0.0289113
+0.0272605
+0.0256905
+0.0242171
+0.022859
+0.0216379
+0.0205345
+0.0196141
+0.0188894
+0.0182936
+0.0170098
+0.0159213
+0.0150267
+0.0144064
+0.0140984
+0.0140675
+0.0143683
+0.0149554
+0.0157989
+0.0160008
+0.0158428
+0.0159863
+0.0164233
+0.0171254
+0.0180217
+0.019128
+0.0204103
+0.0218229
+0.023355
+0.0249854
+0.0266962
+0.0284727
+0.0301645
+0.0315923
+0.0330958
+0.0346655
+0.0362995
+0.0379897
+0.0397287
+0.0415105
+0.0433299
+0.0445579
+0.0447042
+0.0449569
+0.0453141
+0.0457736
+0.0463321
+0.0758181
+0.0754995
+0.0752435
+0.0750505
+0.0749212
+0.074754
+0.0745786
+0.0744672
+0.0744202
+0.0744376
+0.0745195
+0.0746655
+0.0748755
+0.0751487
+0.0754845
+0.0758821
+0.0745481
+0.0732387
+0.0719721
+0.0707508
+0.0695769
+0.0684531
+0.0673817
+0.0663654
+0.0654009
+0.0644901
+0.0636417
+0.0628583
+0.0621422
+0.0614959
+0.0609215
+0.0604175
+0.0599857
+0.0595766
+0.0588392
+0.05817
+0.0575765
+0.0570457
+0.0565281
+0.0549281
+0.0532745
+0.0516382
+0.0495926
+0.0475599
+0.0455418
+0.0435404
+0.0415582
+0.0395914
+0.0376452
+0.0357273
+0.0338425
+0.0319967
+0.0301971
+0.0284523
+0.0267732
+0.0251729
+0.0236673
+0.0222757
+0.0209816
+0.0198412
+0.018887
+0.0181483
+0.0175032
+0.0161556
+0.0150079
+0.0140613
+0.0133951
+0.0130631
+0.0130456
+0.0133582
+0.0139862
+0.0148846
+0.0150359
+0.0148676
+0.0150204
+0.0154847
+0.0161999
+0.017163
+0.0183296
+0.019664
+0.0211265
+0.0227057
+0.0243796
+0.02613
+0.0279426
+0.0296333
+0.0310856
+0.0326125
+0.0342043
+0.0358594
+0.0375693
+0.0393269
+0.0411262
+0.0429618
+0.0448293
+0.0454638
+0.0457122
+0.0460636
+0.0465157
+0.0470654
+0.076945
+0.0766312
+0.0763789
+0.0761888
+0.0760569
+0.0759802
+0.0759667
+0.0759125
+0.0758664
+0.0758835
+0.0759638
+0.0761071
+0.076313
+0.0765811
+0.0769107
+0.077301
+0.0762894
+0.0750104
+0.0737742
+0.0725832
+0.0714395
+0.0703454
+0.0693033
+0.0683154
+0.0673733
+0.0664895
+0.0656669
+0.0649079
+0.0642147
+0.0635895
+0.0630342
+0.0625471
+0.0621302
+0.0615662
+0.0608482
+0.0602014
+0.0596281
+0.0590673
+0.0576952
+0.0556135
+0.0535405
+0.0514773
+0.049425
+0.0473851
+0.0453574
+0.0433402
+0.0413408
+0.0393617
+0.0374063
+0.0354783
+0.0335825
+0.0317248
+0.0299112
+0.0281489
+0.0264507
+0.0248298
+0.0233022
+0.0218628
+0.0205385
+0.0193721
+0.0183935
+0.0176342
+0.0169131
+0.0155143
+0.0143155
+0.0133232
+0.0126146
+0.0122615
+0.0122425
+0.012587
+0.0132863
+0.0142303
+0.0142902
+0.014113
+0.0142739
+0.0147559
+0.0155007
+0.0164902
+0.0176926
+0.0190716
+0.0205919
+0.0222208
+0.0239381
+0.0257273
+0.0275746
+0.0292569
+0.030727
+0.0322709
+0.0338787
+0.035549
+0.0372731
+0.0390441
+0.0408558
+0.0427031
+0.0445814
+0.0463146
+0.0465585
+0.0469036
+0.0473476
+0.0478878
+0.0781091
+0.0778
+0.0775516
+0.0773644
+0.0772365
+0.077161
+0.0771477
+0.0771965
+0.0773074
+0.0773644
+0.0774431
+0.0775837
+0.0777857
+0.0780488
+0.0783722
+0.0787552
+0.0780534
+0.0768037
+0.0755969
+0.074435
+0.0733202
+0.0722546
+0.0712404
+0.0702747
+0.0693587
+0.0685006
+0.0677025
+0.0669665
+0.0662948
+0.0656894
+0.065152
+0.0646809
+0.0642778
+0.0635646
+0.0628694
+0.0622436
+0.0616432
+0.0597262
+0.0576346
+0.0555506
+0.0534751
+0.0514078
+0.0493463
+0.0472964
+0.0452596
+0.043238
+0.0412336
+0.0392491
+0.0372877
+0.0353533
+0.0334504
+0.0315849
+0.0297628
+0.0279912
+0.0262828
+0.0246508
+0.0231114
+0.0216583
+0.0203231
+0.0191436
+0.0181528
+0.017383
+0.0165934
+0.0151652
+0.0139364
+0.0129149
+0.0121825
+0.0118166
+0.0117968
+0.0121541
+0.0128793
+0.0138812
+0.0138263
+0.0136431
+0.0138094
+0.0142931
+0.0150399
+0.0160531
+0.0172859
+0.018695
+0.0202404
+0.0218939
+0.0236349
+0.0254455
+0.0273118
+0.0290414
+0.0305219
+0.0320756
+0.0336928
+0.0353718
+0.0371042
+0.0388829
+0.0407018
+0.0425557
+0.0444403
+0.0463518
+0.0474908
+0.0478292
+0.0482647
+0.0487947
+0.0793167
+0.0790123
+0.0787677
+0.0785834
+0.0784594
+0.0783853
+0.0783721
+0.0784202
+0.0785294
+0.0786994
+0.0789299
+0.0790934
+0.0792916
+0.0795497
+0.079867
+0.0802429
+0.0798384
+0.0786172
+0.0774386
+0.0763048
+0.0752177
+0.0741793
+0.0731917
+0.0722469
+0.0713562
+0.0705224
+0.0697474
+0.0690332
+0.0683819
+0.067795
+0.0672745
+0.0668184
+0.0663144
+0.0655752
+0.0649016
+0.0639502
+0.0618456
+0.0597472
+0.0576557
+0.0555672
+0.0534865
+0.051415
+0.0493538
+0.0473042
+0.0452678
+0.0432466
+0.0412426
+0.0392586
+0.0372977
+0.0353638
+0.0334616
+0.0315967
+0.0297741
+0.0280042
+0.0262969
+0.0246659
+0.0230976
+0.0216329
+0.0202994
+0.0191231
+0.0181303
+0.0173586
+0.0165532
+0.0151181
+0.0138735
+0.0128255
+0.0120877
+0.0117188
+0.011688
+0.0120484
+0.0127796
+0.0137842
+0.0136507
+0.0134651
+0.0136336
+0.0141233
+0.0148786
+0.0159021
+0.0171458
+0.0185655
+0.0201208
+0.0217834
+0.0235326
+0.0253505
+0.0272233
+0.0289879
+0.030471
+0.0320222
+0.0336416
+0.0353227
+0.037057
+0.0388375
+0.0406581
+0.0425136
+0.0443997
+0.0463126
+0.0482491
+0.0488356
+0.0492622
+0.0497816
+0.0805658
+0.0802661
+0.0800253
+0.079844
+0.0797224
+0.0796509
+0.079638
+0.0796853
+0.0797927
+0.0799601
+0.0801869
+0.0804728
+0.0808171
+0.081082
+0.0813933
+0.0817568
+0.0816433
+0.0804494
+0.0792981
+0.0781912
+0.0771307
+0.0761184
+0.0751517
+0.0742312
+0.0733647
+0.0725539
+0.0718009
+0.0711074
+0.0704752
+0.0699059
+0.0694012
+0.0689591
+0.0683144
+0.067597
+0.0661246
+0.0640165
+0.0619142
+0.0598182
+0.0577292
+0.0556481
+0.0535757
+0.0515106
+0.049452
+0.0474052
+0.0453719
+0.0433539
+0.0413535
+0.0393733
+0.0374166
+0.0354873
+0.0335901
+0.0317306
+0.0299161
+0.0281551
+0.0264584
+0.0248385
+0.0232806
+0.0218281
+0.0205073
+0.0193436
+0.0183628
+0.0176012
+0.0167522
+0.0153358
+0.0141104
+0.0130815
+0.012359
+0.0119984
+0.0119683
+0.0123205
+0.0130364
+0.0140227
+0.0137843
+0.0136005
+0.0137674
+0.0142681
+0.0150161
+0.0160308
+0.0172652
+0.0186759
+0.0202259
+0.0218857
+0.0236321
+0.0254445
+0.0273109
+0.0290702
+0.0305493
+0.0320966
+0.0337125
+0.0353902
+0.0371214
+0.0388989
+0.0407167
+0.0425697
+0.0444534
+0.0463641
+0.0482985
+0.0499026
+0.0503202
+0.0507603
+0.0818545
+0.0815595
+0.0813226
+0.0811441
+0.0810244
+0.0809561
+0.0809434
+0.0809899
+0.0810957
+0.0812603
+0.0814836
+0.0817649
+0.0821038
+0.0824994
+0.0829472
+0.0832981
+0.0834666
+0.0822991
+0.0811741
+0.0800931
+0.0790581
+0.0780708
+0.0771236
+0.0762269
+0.0753833
+0.0745945
+0.0738623
+0.0731883
+0.0725742
+0.0720216
+0.0715318
+0.071083
+0.0703257
+0.0683702
+0.0662612
+0.0641576
+0.06206
+0.0599691
+0.0578856
+0.0558103
+0.0537441
+0.0516858
+0.0496344
+0.0475955
+0.0455706
+0.0435618
+0.0415714
+0.0396022
+0.0376574
+0.035741
+0.033858
+0.0320142
+0.0302166
+0.0284743
+0.0267977
+0.0251998
+0.0236634
+0.0222301
+0.0209284
+0.0197842
+0.0188262
+0.0180843
+0.0172298
+0.0158561
+0.0146742
+0.0136877
+0.012999
+0.0126566
+0.0126281
+0.0129624
+0.0136447
+0.0145886
+0.014231
+0.014053
+0.0142146
+0.0146823
+0.0154102
+0.0164006
+0.0176091
+0.0189942
+0.0205202
+0.0221579
+0.0238845
+0.0256819
+0.0275364
+0.0293163
+0.0307836
+0.0323198
+0.0339249
+0.0355926
+0.0373144
+0.0390832
+0.0408928
+0.0427382
+0.0446147
+0.0465188
+0.0484471
+0.0503968
+0.0512008
+0.0516056
+0.0831808
+0.0828906
+0.0826575
+0.0824819
+0.0823642
+0.0822975
+0.082285
+0.0823308
+0.0824348
+0.0825967
+0.0828164
+0.0830932
+0.0834267
+0.0838161
+0.0842607
+0.0847595
+0.0852672
+0.0841653
+0.0830655
+0.0820095
+0.0809989
+0.0800313
+0.079107
+0.0782331
+0.0774113
+0.0766434
+0.0759309
+0.0752755
+0.0746785
+0.0741416
+0.0736659
+0.0727932
+0.0706804
+0.0685724
+0.0664697
+0.0643729
+0.0622826
+0.0601995
+0.0581242
+0.0560577
+0.0540011
+0.0519528
+0.0499124
+0.0478853
+0.0458732
+0.0438783
+0.0419029
+0.03995
+0.038023
+0.0361258
+0.0342631
+0.0324414
+0.030668
+0.0289518
+0.0273036
+0.0257319
+0.0242233
+0.0228251
+0.0215593
+0.0204505
+0.0195253
+0.0188109
+0.0179637
+0.0166507
+0.0155293
+0.0146007
+0.0139571
+0.0136388
+0.0136123
+0.013923
+0.0145582
+0.0153888
+0.0149649
+0.0147965
+0.01495
+0.0154
+0.0160955
+0.0170461
+0.0182118
+0.0195543
+0.0210397
+0.0226399
+0.0243323
+0.0260989
+0.0279257
+0.0297223
+0.0311705
+0.0326885
+0.0342764
+0.0359278
+0.0376342
+0.0393886
+0.0411849
+0.0430177
+0.0448826
+0.0467757
+0.0486938
+0.0506341
+0.0521066
+0.0524957
+0.0845432
+0.0842577
+0.0840283
+0.0838556
+0.0837398
+0.0836743
+0.0836619
+0.083707
+0.0838092
+0.0839686
+0.0841846
+0.084457
+0.0847851
+0.0851683
+0.0856058
+0.0860969
+0.0866406
+0.0860467
+0.0849712
+0.0839392
+0.0829522
+0.0820029
+0.0811011
+0.0802489
+0.079448
+0.0786999
+0.0780062
+0.0773683
+0.0767877
+0.0762656
+0.075159
+0.0730488
+0.0709436
+0.0688437
+0.0667496
+0.0646619
+0.0625812
+0.0605083
+0.058444
+0.0563893
+0.0543451
+0.0523099
+0.0502835
+0.0482714
+0.0462755
+0.044298
+0.0423416
+0.0404091
+0.0385044
+0.0366316
+0.034796
+0.0330037
+0.0312622
+0.0295805
+0.0279639
+0.0264224
+0.0249554
+0.0236007
+0.0223788
+0.0213126
+0.0204265
+0.0197447
+0.018924
+0.0176824
+0.0165919
+0.0157237
+0.0151255
+0.0148298
+0.0148058
+0.015092
+0.0156728
+0.0163411
+0.0159389
+0.0157803
+0.0159243
+0.016363
+0.0170369
+0.0179376
+0.0190489
+0.0203361
+0.0217682
+0.0233185
+0.0249649
+0.0266897
+0.0284786
+0.0302818
+0.0317044
+0.0331979
+0.0347626
+0.0363919
+0.0380776
+0.0398125
+0.0415904
+0.0434061
+0.045255
+0.0471332
+0.0490373
+0.0509645
+0.0529121
+0.0534524
+0.0859398
+0.085659
+0.0854334
+0.0852635
+0.0851496
+0.0850851
+0.085073
+0.0851173
+0.0852179
+0.0853746
+0.0855871
+0.085855
+0.0861778
+0.0865548
+0.0869854
+0.0874687
+0.088004
+0.0879424
+0.0868905
+0.0858815
+0.0849131
+0.0839854
+0.083105
+0.0822736
+0.0814926
+0.0807635
+0.0800877
+0.0794665
+0.0789013
+0.0775763
+0.0754702
+0.073369
+0.0712732
+0.0691833
+0.0670998
+0.0650233
+0.0629546
+0.0608944
+0.0588437
+0.0568034
+0.0547743
+0.0527515
+0.0507427
+0.0487496
+0.0467741
+0.0448187
+0.042886
+0.0409792
+0.0391023
+0.0372596
+0.0354565
+0.0336993
+0.0319883
+0.0303369
+0.0287577
+0.0272611
+0.0258417
+0.024536
+0.0233631
+0.0223439
+0.0215004
+0.0208537
+0.0200782
+0.0188711
+0.0178456
+0.0170414
+0.0164911
+0.0162203
+0.0161972
+0.0164592
+0.0169942
+0.0175068
+0.017138
+0.016991
+0.0171249
+0.0175336
+0.0181943
+0.0190406
+0.0200909
+0.0213154
+0.0226858
+0.0241773
+0.0257689
+0.0274432
+0.0291859
+0.0309856
+0.032378
+0.0338418
+0.035378
+0.0369802
+0.0386403
+0.040351
+0.0421062
+0.0439005
+0.0457294
+0.0475889
+0.0494755
+0.0513862
+0.0533185
+0.0544716
+0.087369
+0.0870928
+0.0868709
+0.0867038
+0.0865919
+0.0865285
+0.0865166
+0.0865601
+0.086659
+0.0868131
+0.0870221
+0.0872856
+0.0876031
+0.087974
+0.0883977
+0.0888734
+0.0894002
+0.0898516
+0.0888222
+0.0878355
+0.0868844
+0.0859779
+0.0851182
+0.0843066
+0.0835446
+0.0828336
+0.0819876
+0.0808856
+0.0798285
+0.0779395
+0.0758434
+0.0737529
+0.0716683
+0.0695902
+0.0675193
+0.0654562
+0.0634016
+0.0613564
+0.0593216
+0.0572983
+0.0552831
+0.0532797
+0.0512915
+0.0493206
+0.0473689
+0.0454391
+0.0435339
+0.0416569
+0.0398119
+0.0380029
+0.0362287
+0.0345022
+0.032831
+0.0312242
+0.0296922
+0.0282451
+0.0268778
+0.0256249
+0.0245042
+0.0235345
+0.0227352
+0.0221247
+0.0213574
+0.020221
+0.0192675
+0.0185252
+0.0180202
+0.0177727
+0.0177505
+0.0179899
+0.0184815
+0.0188558
+0.0185139
+0.0183795
+0.0185033
+0.0188822
+0.0195013
+0.0203207
+0.021308
+0.0224662
+0.0237703
+0.0251977
+0.0267286
+0.0283463
+0.0300367
+0.0317882
+0.0331828
+0.0346126
+0.036116
+0.0376869
+0.0393171
+0.0409996
+0.0427281
+0.0444974
+0.0463027
+0.0481401
+0.0500059
+0.0518971
+0.053811
+0.0555585
+0.0888293
+0.0885576
+0.0883394
+0.0881751
+0.088065
+0.0880027
+0.087991
+0.0880338
+0.088131
+0.0882826
+0.0884881
+0.0887472
+0.0890595
+0.0894244
+0.0898412
+0.0903093
+0.0908278
+0.0913959
+0.0907658
+0.0897968
+0.088866
+0.0879799
+0.0871399
+0.0860495
+0.0848306
+0.0836513
+0.0825134
+0.0814185
+0.0803684
+0.0783622
+0.0762778
+0.0741995
+0.0721278
+0.0700634
+0.0680068
+0.0659589
+0.0639205
+0.0618925
+0.0598759
+0.0578698
+0.0558732
+0.0538917
+0.0519271
+0.0499812
+0.0480564
+0.0461553
+0.0442809
+0.0424345
+0.0406174
+0.0388389
+0.0371044
+0.0354206
+0.0337949
+0.0322362
+0.0307546
+0.02936
+0.0280471
+0.0268488
+0.0257813
+0.0248615
+0.0241062
+0.0235313
+0.0227708
+0.0217086
+0.0208233
+0.0201384
+0.0196748
+0.0194484
+0.0194271
+0.0196461
+0.020098
+0.0203517
+0.0200353
+0.0199113
+0.0200256
+0.0203762
+0.0209512
+0.0217328
+0.0226641
+0.0237563
+0.0249932
+0.0263544
+0.0278217
+0.0293793
+0.0310134
+0.0327127
+0.0341095
+0.0355021
+0.0369693
+0.0385054
+0.0401023
+0.0417532
+0.0434518
+0.0451927
+0.0469713
+0.0487835
+0.0506256
+0.0524945
+0.0543874
+0.0563019
+0.0903191
+0.0900519
+0.0898373
+0.0896758
+0.0895675
+0.0895062
+0.0894947
+0.0895368
+0.0896324
+0.0897814
+0.0899835
+0.0902384
+0.0905455
+0.0909044
+0.0913145
+0.0917751
+0.0922853
+0.0928445
+0.0927203
+0.0917677
+0.0904602
+0.0891402
+0.0878549
+0.086606
+0.0853951
+0.0842237
+0.0830936
+0.0820065
+0.0809212
+0.0788436
+0.0767722
+0.0747076
+0.0726505
+0.0706013
+0.0685609
+0.0665301
+0.0645097
+0.0625008
+0.0605045
+0.0585159
+0.0565421
+0.0545849
+0.0526461
+0.0507278
+0.0488324
+0.0469589
+0.0451112
+0.0432956
+0.0415162
+0.0397778
+0.0380862
+0.0364477
+0.03487
+0.0333615
+0.0319322
+0.0305913
+0.0293335
+0.02819
+0.0271753
+0.0263042
+0.0255915
+0.0250507
+0.0242998
+0.0233073
+0.0224851
+0.0218523
+0.0214259
+0.0212182
+0.0211977
+0.0213986
+0.0218149
+0.0219646
+0.0216717
+0.0215571
+0.0216628
+0.0219873
+0.0225211
+0.02325
+0.0241228
+0.0251517
+0.0263231
+0.0276189
+0.0290224
+0.0305187
+0.0320949
+0.0337398
+0.0351474
+0.0365015
+0.0379301
+0.0394287
+0.0409897
+0.0426062
+0.0442721
+0.045982
+0.0477312
+0.0495156
+0.0513314
+0.0531755
+0.055045
+0.0569374
+0.0918369
+0.0915742
+0.0913632
+0.0912043
+0.0910979
+0.0910376
+0.0910263
+0.0910677
+0.0911617
+0.0913082
+0.091507
+0.0917576
+0.0920597
+0.0924127
+0.0928161
+0.0932693
+0.0937714
+0.0943217
+0.093764
+0.0923873
+0.0910425
+0.089731
+0.0884544
+0.0872141
+0.0860117
+0.0848489
+0.0837272
+0.0826484
+0.0814464
+0.0793825
+0.0773256
+0.0752762
+0.073235
+0.0712026
+0.06918
+0.0671679
+0.0651673
+0.0631793
+0.0612013
+0.059236
+0.057287
+0.0553562
+0.0534453
+0.0515516
+0.0496816
+0.0478388
+0.0460265
+0.0442485
+0.0425089
+0.0408129
+0.039166
+0.0375746
+0.0360462
+0.0345891
+0.0332127
+0.0319256
+0.0307225
+0.0296326
+0.028669
+0.0278447
+0.0271725
+0.0266637
+0.0259239
+0.024996
+0.0242311
+0.0236451
+0.0232516
+0.0230603
+0.0230407
+0.0232256
+0.0236103
+0.0236704
+0.023399
+0.0232928
+0.0233906
+0.0236915
+0.0241878
+0.0248679
+0.0256858
+0.0266544
+0.0277625
+0.028994
+0.0303339
+0.0317685
+0.0332856
+0.0348743
+0.0362712
+0.037595
+0.0389904
+0.0404498
+0.0419728
+0.0435528
+0.0451838
+0.0468604
+0.048578
+0.0503324
+0.0521198
+0.0539369
+0.0557809
+0.0576491
+0.0933815
+0.0931231
+0.0929157
+0.0927595
+0.0926548
+0.0925956
+0.0925844
+0.0926251
+0.0927176
+0.0928616
+0.0930571
+0.0933035
+0.0936006
+0.0939478
+0.0943447
+0.0947905
+0.0952846
+0.095775
+0.0943768
+0.0930092
+0.0916735
+0.0903712
+0.0891037
+0.0878726
+0.0866793
+0.0855256
+0.0844129
+0.0833429
+0.0820267
+0.0799778
+0.0779366
+0.0759037
+0.0738798
+0.0718657
+0.0698623
+0.0678704
+0.0658911
+0.063924
+0.0619676
+0.0600274
+0.0581042
+0.056196
+0.0543092
+0.052446
+0.050609
+0.0488013
+0.0470261
+0.0452873
+0.0435893
+0.0419369
+0.040336
+0.0387926
+0.0373142
+0.0359085
+0.0345846
+0.0333476
+0.0321975
+0.0311593
+0.0302443
+0.0294642
+0.0288297
+0.0283507
+0.0276263
+0.0267575
+0.0260444
+0.0255002
+0.0251357
+0.0249589
+0.0249399
+0.0251108
+0.0254677
+0.0254491
+0.0251969
+0.0250998
+0.0251906
+0.0254702
+0.0259325
+0.026568
+0.027335
+0.0282472
+0.0292951
+0.0304647
+0.0317426
+0.0331162
+0.0345742
+0.0361063
+0.0374895
+0.0387716
+0.0401325
+0.0415613
+0.043045
+0.044587
+0.0461815
+0.0478232
+0.0495074
+0.0512299
+0.0529871
+0.0547754
+0.0565921
+0.0584344
+0.0949516
+0.0946974
+0.0944934
+0.0943399
+0.094237
+0.0941787
+0.0941678
+0.0942078
+0.0942987
+0.0944403
+0.0946325
+0.0948748
+0.095167
+0.0955086
+0.0958989
+0.0963376
+0.0968238
+0.0964248
+0.0950361
+0.0936781
+0.0923521
+0.0910595
+0.0898018
+0.0885803
+0.0873968
+0.0862526
+0.0851494
+0.0840888
+0.0826611
+0.0806283
+0.0786039
+0.0765887
+0.0745835
+0.0725889
+0.070606
+0.0686357
+0.0666791
+0.0647323
+0.062799
+0.0608803
+0.0589806
+0.0571017
+0.0552458
+0.0534153
+0.0516129
+0.0498415
+0.0481048
+0.0464064
+0.0447508
+0.043143
+0.0415885
+0.0400934
+0.0386647
+0.03731
+0.0360361
+0.0348371
+0.0337379
+0.0327485
+0.0318792
+0.03114
+0.0305404
+0.0300886
+0.0293807
+0.0285665
+0.0279011
+0.0273951
+0.0270575
+0.0268875
+0.0268682
+0.0270269
+0.0273607
+0.0272722
+0.0270369
+0.0269638
+0.0270483
+0.0273089
+0.0277406
+0.0283355
+0.029056
+0.0299157
+0.0309071
+0.0320178
+0.0332361
+0.0345504
+0.0359503
+0.0374261
+0.0387932
+0.0400337
+0.041353
+0.042744
+0.0441998
+0.0457029
+0.0472598
+0.0488653
+0.0505147
+0.052204
+0.0539294
+0.0556875
+0.0574754
+0.0592903
+0.0965458
+0.0962958
+0.0960952
+0.0959442
+0.0958431
+0.0957858
+0.095775
+0.0958143
+0.0959037
+0.096043
+0.0962319
+0.0964703
+0.0967577
+0.0970936
+0.0974777
+0.0979092
+0.0983877
+0.0971196
+0.0957411
+0.0943932
+0.0930774
+0.091795
+0.0905475
+0.0893362
+0.0881628
+0.0870287
+0.0859355
+0.0848847
+0.0833482
+0.0813325
+0.0793262
+0.0773298
+0.0753443
+0.0733704
+0.071409
+0.0694565
+0.0675181
+0.0655955
+0.0636861
+0.061795
+0.0599243
+0.058076
+0.0562522
+0.0544556
+0.0526887
+0.0509548
+0.0492573
+0.0476
+0.0459875
+0.0444245
+0.0429164
+0.0414692
+0.0400895
+0.0387846
+0.0375467
+0.0363975
+0.0353469
+0.0344038
+0.0335774
+0.0328764
+0.032309
+0.0318824
+0.0311868
+0.0304211
+0.029797
+0.0293238
+0.0290087
+0.0288481
+0.02883
+0.028978
+0.0292896
+0.0291457
+0.0289257
+0.0288707
+0.0289518
+0.0291954
+0.0295996
+0.0301578
+0.0308365
+0.0316479
+0.0325866
+0.033642
+0.0348034
+0.0360607
+0.037404
+0.0388246
+0.0401742
+0.0413732
+0.0426512
+0.0440011
+0.0454167
+0.0468919
+0.0484132
+0.0499817
+0.0515955
+0.0532505
+0.054943
+0.0566697
+0.0584275
+0.0602137
+0.098163
+0.0979172
+0.0977199
+0.0975714
+0.0974719
+0.0974156
+0.097405
+0.0974437
+0.0975316
+0.0976685
+0.0978543
+0.0980887
+0.0983714
+0.0987018
+0.0990796
+0.0995043
+0.0992561
+0.0978586
+0.0964906
+0.0951534
+0.0938482
+0.0925765
+0.0913396
+0.090139
+0.0889762
+0.0878526
+0.0867698
+0.0857293
+0.0840867
+0.0820892
+0.0801018
+0.0781253
+0.076159
+0.0742017
+0.0722576
+0.0703282
+0.0684144
+0.0665177
+0.0646354
+0.0627729
+0.0609322
+0.0591154
+0.0573247
+0.0555627
+0.0538322
+0.0521364
+0.0504786
+0.0488628
+0.0472933
+0.0457749
+0.0443128
+0.0429127
+0.041581
+0.0403124
+0.0391218
+0.0380202
+0.0370157
+0.0361162
+0.0353299
+0.0346643
+0.0341267
+0.033723
+0.0330395
+0.0323177
+0.031731
+0.031287
+0.0309918
+0.0308396
+0.0308227
+0.0309612
+0.031253
+0.0310608
+0.0308544
+0.0308029
+0.0308801
+0.0311086
+0.0314882
+0.0320135
+0.032667
+0.033434
+0.0343239
+0.0353274
+0.0364352
+0.0376379
+0.0389269
+0.0402938
+0.0416247
+0.0427831
+0.0440202
+0.0453294
+0.0467047
+0.0481404
+0.0496313
+0.0511676
+0.0527451
+0.0543651
+0.056024
+0.0577183
+0.0594451
+0.0612016
+0.0998021
+0.0995603
+0.0993663
+0.0992203
+0.0991224
+0.0990671
+0.0990567
+0.0990947
+0.0991811
+0.0993158
+0.0994985
+0.099729
+0.100007
+0.100332
+0.100704
+0.101122
+0.100027
+0.0986407
+0.0972837
+0.0959575
+0.0946634
+0.0934028
+0.0921771
+0.0909875
+0.0898357
+0.088723
+0.0876509
+0.0866209
+0.0848754
+0.0828969
+0.0809263
+0.0789655
+0.0770171
+0.0750821
+0.0731615
+0.0712565
+0.0693684
+0.0674984
+0.065644
+0.063811
+0.0620011
+0.0602166
+0.0584597
+0.0567329
+0.0550392
+0.0533817
+0.0517638
+0.0501895
+0.0486628
+0.0471885
+0.0457715
+0.0444175
+0.0431233
+0.041898
+0.0407538
+0.0396976
+0.0387365
+0.0378779
+0.0371289
+0.0364962
+0.0359859
+0.0356033
+0.0349314
+0.0342494
+0.0336964
+0.0332786
+0.0330013
+0.0328565
+0.0328406
+0.0329706
+0.0332448
+0.0330102
+0.0328161
+0.0327676
+0.0328406
+0.0330555
+0.033413
+0.0339086
+0.0345362
+0.0352657
+0.0361105
+0.0370657
+0.038123
+0.0392741
+0.040511
+0.0418262
+0.0431378
+0.0442566
+0.0454535
+0.0467226
+0.048058
+0.0494545
+0.050907
+0.0524108
+0.0539592
+0.0555438
+0.0571685
+0.0588299
+0.060525
+0.062251
+0.101462
+0.101224
+0.101033
+0.10089
+0.100794
+0.100739
+0.100729
+0.100766
+0.100851
+0.100984
+0.101163
+0.10139
+0.101664
+0.101983
+0.102349
+0.102244
+0.10084
+0.0994649
+0.0981193
+0.0968046
+0.095522
+0.0942729
+0.0930585
+0.0918804
+0.0907399
+0.0896384
+0.0885774
+0.0875535
+0.0857083
+0.0837449
+0.081793
+0.0798535
+0.0779274
+0.0760155
+0.0741191
+0.0722394
+0.0703776
+0.068535
+0.0667094
+0.0649064
+0.063128
+0.0613762
+0.0596535
+0.0579623
+0.0563056
+0.0546865
+0.0531084
+0.0515751
+0.0500906
+0.0486596
+0.0472868
+0.0459711
+0.0447166
+0.0435362
+0.0424361
+0.0414228
+0.0405027
+0.0396824
+0.0389681
+0.0383657
+0.0378806
+0.0375147
+0.0368563
+0.0362107
+0.035688
+0.0352938
+0.0350325
+0.0348943
+0.0348794
+0.0350018
+0.0352602
+0.0349881
+0.034805
+0.0347593
+0.0348285
+0.0350312
+0.0353688
+0.0358373
+0.0364317
+0.0371363
+0.0379395
+0.0388497
+0.0398597
+0.040962
+0.0421495
+0.0434151
+0.044707
+0.0457875
+0.0469454
+0.0481752
+0.0494714
+0.0508291
+0.0522433
+0.0537097
+0.0552241
+0.0567826
+0.0583728
+0.0600009
+0.0616638
+0.0633588
+0.103142
+0.102908
+0.10272
+0.102579
+0.102484
+0.102431
+0.102421
+0.102457
+0.102541
+0.102671
+0.102848
+0.103071
+0.10334
+0.103655
+0.104015
+0.103086
+0.101694
+0.10033
+0.0989964
+0.0976934
+0.0964226
+0.0951853
+0.0939828
+0.0928164
+0.0916876
+0.0905976
+0.089542
+0.088525
+0.0865826
+0.0846395
+0.0827087
+0.0807912
+0.078888
+0.077
+0.0751284
+0.0732746
+0.0714398
+0.0696251
+0.0678288
+0.0660564
+0.0643098
+0.0625911
+0.0609027
+0.0592472
+0.0576275
+0.0560466
+0.0545079
+0.053015
+0.0515721
+0.0501833
+0.0488494
+0.0475699
+0.0463587
+0.0452212
+0.0441631
+0.0431903
+0.0423087
+0.041524
+0.0408419
+0.0402676
+0.0398057
+0.0394537
+0.0388095
+0.0381969
+0.0377017
+0.0373288
+0.0370818
+0.0369497
+0.0369356
+0.0370512
+0.0372912
+0.03699
+0.0368169
+0.0367737
+0.0368394
+0.0370312
+0.0373506
+0.0377946
+0.0383587
+0.0390378
+0.039805
+0.0406736
+0.0416393
+0.0426957
+0.0438362
+0.0450545
+0.0463266
+0.0473702
+0.0484904
+0.0496819
+0.0509398
+0.0522593
+0.0536359
+0.0550652
+0.0565433
+0.0580665
+0.0596312
+0.0612279
+0.0628583
+0.064522
+0.104839
+0.104609
+0.104424
+0.104285
+0.104192
+0.104141
+0.104131
+0.104167
+0.104249
+0.104377
+0.104551
+0.104771
+0.105035
+0.105345
+0.105374
+0.103967
+0.102587
+0.101236
+0.0999137
+0.0986229
+0.0973643
+0.0961391
+0.0949487
+0.0937943
+0.0926773
+0.0915921
+0.0905451
+0.0894376
+0.0875031
+0.0855808
+0.0836718
+0.0817769
+0.0798971
+0.0780335
+0.0761873
+0.0743599
+0.0725525
+0.0707662
+0.0689997
+0.0672581
+0.0655435
+0.063858
+0.0622041
+0.0605841
+0.0590011
+0.057458
+0.0559581
+0.054505
+0.0531025
+0.0517531
+0.0504521
+0.0492143
+0.0480445
+0.0469479
+0.0459296
+0.044995
+0.0441495
+0.0433981
+0.0427459
+0.0421975
+0.041757
+0.0414177
+0.0407868
+0.0402043
+0.0397342
+0.0393805
+0.0391465
+0.0390198
+0.0390064
+0.0391159
+0.0392979
+0.0390122
+0.0388481
+0.0388071
+0.0388698
+0.0390516
+0.0393546
+0.0397762
+0.0403126
+0.0409593
+0.0417022
+0.042532
+0.0434565
+0.0444697
+0.0455659
+0.046739
+0.0479836
+0.0489998
+0.0500835
+0.051238
+0.0524586
+0.0537409
+0.0550804
+0.0564732
+0.0579154
+0.0594033
+0.0609337
+0.0625034
+0.0641055
+0.0657376
+0.0954653
+0.0940551
+0.0926753
+0.0913271
+0.0900121
+0.0887317
+0.0874832
+0.0861152
+0.0847816
+0.0834843
+0.0822248
+0.0809983
+0.0797383
+0.0785193
+0.0773431
+0.076183
+0.0750362
+0.0739366
+0.0728862
+0.0718667
+0.0708141
+0.0697901
+0.0688205
+0.0679078
+0.0670536
+0.0661774
+0.0652727
+0.0643781
+0.0635309
+0.0627488
+0.0620244
+0.0613645
+0.0604735
+0.0594114
+0.0584122
+0.0574792
+0.0566156
+0.0558106
+0.0550795
+0.054416
+0.053801
+0.0532608
+0.052806
+0.0524388
+0.0521469
+0.0519422
+0.0518294
+0.0518074
+0.0518618
+0.0520084
+0.0522202
+0.0525135
+0.0528959
+0.0533656
+0.0539157
+0.0545461
+0.0539001
+0.0530702
+0.0522079
+0.0514247
+0.0507178
+0.0500962
+0.0495638
+0.0491234
+0.0487774
+0.048528
+0.0483766
+0.0483242
+0.048371
+0.0485168
+0.0487606
+0.0489682
+0.0491029
+0.0493347
+0.049662
+0.0497946
+0.0498468
+0.0499941
+0.0500592
+0.0497301
+0.0494959
+0.0493578
+0.049316
+0.0493536
+0.0494881
+0.0497189
+0.0500446
+0.0504633
+0.0509728
+0.0515705
+0.0522532
+0.0530177
+0.0538606
+0.0547781
+0.0557666
+0.0568224
+0.0579419
+0.0591213
+0.0603573
+0.0616463
+0.0940531
+0.0926255
+0.0912257
+0.0898558
+0.0885189
+0.0872166
+0.0859504
+0.0846763
+0.0833197
+0.0819992
+0.0807166
+0.0794711
+0.0782415
+0.0769987
+0.0757989
+0.0746441
+0.073493
+0.0723699
+0.0712964
+0.0702749
+0.0692365
+0.0681887
+0.0671961
+0.066261
+0.065386
+0.0645215
+0.0636675
+0.062757
+0.0618939
+0.0610905
+0.0603423
+0.0596638
+0.058928
+0.0578375
+0.0568106
+0.0558508
+0.0549617
+0.0541354
+0.0533814
+0.0526935
+0.0520588
+0.0515027
+0.0510322
+0.0506522
+0.0503468
+0.0501348
+0.0500179
+0.0499951
+0.0500515
+0.0502034
+0.050425
+0.0507286
+0.0511244
+0.0516102
+0.0521767
+0.0526064
+0.0518313
+0.0510849
+0.0501886
+0.0493733
+0.0486391
+0.0479906
+0.0474346
+0.0469742
+0.0466123
+0.0463513
+0.0461927
+0.0461378
+0.0461868
+0.0463395
+0.0465947
+0.0468013
+0.0469423
+0.0471846
+0.0475268
+0.0476053
+0.0476598
+0.0478116
+0.0479092
+0.0475652
+0.0473203
+0.0471759
+0.0471322
+0.0471716
+0.0473123
+0.0475536
+0.047894
+0.0483314
+0.0488631
+0.0494863
+0.0501973
+0.0509927
+0.0518684
+0.0528206
+0.053845
+0.0549378
+0.0560949
+0.0573123
+0.0585865
+0.0599136
+0.092669
+0.0912197
+0.089798
+0.0884078
+0.0870501
+0.0857254
+0.0844368
+0.083186
+0.0818903
+0.0805464
+0.0792402
+0.0779711
+0.0767374
+0.0755111
+0.0742873
+0.0731086
+0.0719774
+0.0708363
+0.0697392
+0.0686946
+0.0676661
+0.066621
+0.0656046
+0.0646465
+0.0637494
+0.0628983
+0.0620409
+0.0611659
+0.0602919
+0.0594641
+0.0586938
+0.057996
+0.0573735
+0.0563048
+0.0552495
+0.0542621
+0.0533464
+0.0524952
+0.0517173
+0.0510069
+0.0503509
+0.049779
+0.0492921
+0.0488959
+0.0485789
+0.0483591
+0.0482379
+0.0482142
+0.0482727
+0.0484302
+0.0486621
+0.0489767
+0.0493866
+0.0498872
+0.0504728
+0.0505795
+0.0497729
+0.0490508
+0.0481842
+0.0473344
+0.0465707
+0.045893
+0.0453112
+0.044829
+0.0444497
+0.0441759
+0.0440095
+0.0439518
+0.0440033
+0.0441635
+0.0444313
+0.0446368
+0.0447845
+0.0450385
+0.0453969
+0.0454161
+0.0454732
+0.04563
+0.0457631
+0.0454029
+0.0451462
+0.0449948
+0.044949
+0.0449903
+0.0451378
+0.0453907
+0.0457472
+0.0462049
+0.0467608
+0.0474116
+0.0481533
+0.0489819
+0.0498929
+0.050882
+0.0519448
+0.0530767
+0.0542734
+0.0555308
+0.0568449
+0.0582118
+0.091311
+0.0898454
+0.0884016
+0.0869891
+0.0856093
+0.0842632
+0.0829519
+0.0816784
+0.0804443
+0.0791275
+0.0777976
+0.0765044
+0.0752467
+0.0740324
+0.0728102
+0.0716072
+0.0704518
+0.069338
+0.0682169
+0.0671485
+0.0661217
+0.0650892
+0.0640485
+0.0630668
+0.0621468
+0.0612914
+0.0604305
+0.0595889
+0.0587195
+0.0578734
+0.0570817
+0.056364
+0.0557217
+0.0548168
+0.0537323
+0.0527165
+0.0517735
+0.0508964
+0.0500937
+0.04936
+0.0486818
+0.0480919
+0.0475877
+0.0471753
+0.0468466
+0.0466187
+0.0464929
+0.0464684
+0.046529
+0.0466924
+0.0469354
+0.0472614
+0.047686
+0.048202
+0.0488079
+0.0485669
+0.0477262
+0.0469728
+0.0461967
+0.0453096
+0.0445128
+0.0438045
+0.0431946
+0.0426885
+0.04229
+0.0420021
+0.0418271
+0.0417664
+0.0418205
+0.0419891
+0.0422706
+0.0424749
+0.0426302
+0.0428969
+0.0432256
+0.043227
+0.0432871
+0.0434493
+0.0436214
+0.0432433
+0.0429737
+0.0428147
+0.0427666
+0.04281
+0.042965
+0.0432306
+0.0436047
+0.0440847
+0.0446671
+0.0453479
+0.0461228
+0.0469872
+0.0479362
+0.0489648
+0.0500682
+0.0512416
+0.0524802
+0.0537796
+0.0551354
+0.0565436
+0.0899411
+0.0885039
+0.0870379
+0.0856029
+0.0842004
+0.0828321
+0.0814989
+0.0802023
+0.0789451
+0.0777294
+0.0763902
+0.075073
+0.0737909
+0.0725522
+0.0713593
+0.070139
+0.068959
+0.0678293
+0.0667293
+0.065638
+0.0646025
+0.0635637
+0.0625305
+0.0615245
+0.0605811
+0.0597033
+0.0588576
+0.0580231
+0.0571839
+0.0563157
+0.0555093
+0.054771
+0.0541014
+0.0533609
+0.052263
+0.051218
+0.0502469
+0.0493431
+0.0485147
+0.0477567
+0.0470555
+0.0464449
+0.0459226
+0.0454952
+0.0451542
+0.0449177
+0.0447872
+0.0447617
+0.0448247
+0.0449943
+0.0452488
+0.0455869
+0.0460269
+0.0465589
+0.0471859
+0.0465704
+0.045693
+0.0449054
+0.0442125
+0.0433011
+0.0424666
+0.0417265
+0.0410857
+0.0405533
+0.0401336
+0.0398301
+0.0396455
+0.0395815
+0.0396386
+0.0398164
+0.0401132
+0.0403162
+0.0404797
+0.0407605
+0.0410378
+0.0410381
+0.0411014
+0.0412697
+0.041481
+0.0410871
+0.0408033
+0.0406357
+0.040585
+0.0406309
+0.0407941
+0.0410737
+0.0414673
+0.0419718
+0.042583
+0.0432967
+0.0441076
+0.0450107
+0.0460005
+0.0470714
+0.0482182
+0.0494355
+0.0507183
+0.0520616
+0.053461
+0.0549122
+0.0886042
+0.0871467
+0.0857085
+0.0842508
+0.0828254
+0.081434
+0.0800784
+0.0787594
+0.0774789
+0.0762398
+0.0750128
+0.0736735
+0.0723721
+0.0711088
+0.0698912
+0.0687047
+0.0674997
+0.0663452
+0.0652438
+0.0641553
+0.0630955
+0.0620719
+0.0610524
+0.0600218
+0.0590544
+0.0581535
+0.0573222
+0.0564681
+0.055641
+0.0548003
+0.0539797
+0.0532189
+0.0525225
+0.0519093
+0.0508322
+0.0497709
+0.048771
+0.0478398
+0.0469848
+0.0462018
+0.0454765
+0.0448445
+0.0443033
+0.0438601
+0.0435063
+0.0432608
+0.0431253
+0.0430988
+0.0431642
+0.0433403
+0.0436051
+0.0439559
+0.0444121
+0.0449626
+0.0455961
+0.0445921
+0.0436749
+0.0428503
+0.0421235
+0.041311
+0.0404355
+0.0396606
+0.0389859
+0.0384244
+0.0379812
+0.0376603
+0.0374651
+0.0373973
+0.0374578
+0.0376459
+0.0379589
+0.0381611
+0.0383338
+0.0386302
+0.0388503
+0.0388494
+0.0389162
+0.0390913
+0.0393046
+0.0389347
+0.0386351
+0.0384581
+0.0384046
+0.038453
+0.0386255
+0.0389207
+0.0393358
+0.0398672
+0.0405103
+0.0412598
+0.04211
+0.043055
+0.0440887
+0.045205
+0.0463979
+0.0476617
+0.0489909
+0.0503804
+0.0518252
+0.0533209
+0.0873018
+0.0858222
+0.0843728
+0.0829346
+0.0814862
+0.0800716
+0.0786924
+0.0773508
+0.0760475
+0.0747847
+0.0735654
+0.0723103
+0.0709876
+0.0697043
+0.0684618
+0.0672677
+0.0660808
+0.064901
+0.0637746
+0.0627046
+0.0616295
+0.0606048
+0.0595818
+0.0585498
+0.0575577
+0.056633
+0.0557791
+0.0549565
+0.0541378
+0.0533224
+0.0524891
+0.0517059
+0.0509889
+0.050357
+0.0494525
+0.0483674
+0.0473504
+0.0463911
+0.045509
+0.0447001
+0.0439501
+0.0432957
+0.042735
+0.0422753
+0.0419082
+0.0416532
+0.0415125
+0.041485
+0.0415529
+0.0417358
+0.0420107
+0.0423747
+0.0428477
+0.043418
+0.0436835
+0.0426345
+0.0416743
+0.0408093
+0.0400455
+0.0393423
+0.0384219
+0.0376067
+0.0368967
+0.0363029
+0.0358334
+0.0354931
+0.0352859
+0.0352139
+0.0352781
+0.0354778
+0.0358065
+0.0360102
+0.0361932
+0.036507
+0.0366632
+0.036661
+0.0367318
+0.0369143
+0.0371299
+0.0367868
+0.0364696
+0.036282
+0.0362253
+0.0362767
+0.0364594
+0.036772
+0.0372112
+0.0377725
+0.0384506
+0.0392394
+0.0401325
+0.0411229
+0.042204
+0.0433688
+0.0446109
+0.0459239
+0.047302
+0.0487396
+0.0502316
+0.0517734
+0.0859513
+0.0845336
+0.0830605
+0.0816152
+0.0801845
+0.0787464
+0.0773437
+0.0759782
+0.0746521
+0.0733661
+0.0721229
+0.0709256
+0.0696407
+0.0683366
+0.0670734
+0.0658542
+0.0646861
+0.0634996
+0.0623479
+0.061253
+0.0602075
+0.0591581
+0.0581529
+0.0571239
+0.0561067
+0.0551577
+0.0542805
+0.0534788
+0.0526635
+0.0518445
+0.0510481
+0.0502429
+0.0495047
+0.0488536
+0.048133
+0.0470174
+0.0459791
+0.0450026
+0.0440927
+0.0432573
+0.0424818
+0.0418045
+0.0412234
+0.0407467
+0.0403657
+0.0401009
+0.0399547
+0.0399262
+0.0399967
+0.0401867
+0.0404721
+0.0408498
+0.0413403
+0.0419311
+0.0417978
+0.0407007
+0.0396938
+0.0387846
+0.0379801
+0.0372872
+0.0364288
+0.0355679
+0.0348199
+0.03419
+0.0336911
+0.033329
+0.0331082
+0.0330315
+0.0330999
+0.0333126
+0.0336588
+0.0338645
+0.0340591
+0.0343923
+0.0344766
+0.0344728
+0.0345481
+0.034739
+0.0349573
+0.0346443
+0.0343073
+0.0341078
+0.0340475
+0.0341022
+0.0342966
+0.0346287
+0.0350947
+0.0356893
+0.0364062
+0.0372383
+0.0381782
+0.0392181
+0.0403502
+0.041567
+0.0428613
+0.0442263
+0.0456556
+0.0471435
+0.0486845
+0.0502737
+0.0845666
+0.0832188
+0.0817858
+0.0803175
+0.0788828
+0.0774606
+0.0760342
+0.0746448
+0.0732945
+0.0719856
+0.0707189
+0.0694973
+0.0683242
+0.067008
+0.0657248
+0.0644841
+0.0632908
+0.0621357
+0.0609665
+0.0598463
+0.0587864
+0.0577584
+0.0567482
+0.0557387
+0.054705
+0.0537312
+0.0528303
+0.0520062
+0.051217
+0.0504088
+0.0496288
+0.0488344
+0.0480745
+0.0474038
+0.0468149
+0.0457326
+0.0446645
+0.043661
+0.0427417
+0.0418794
+0.0410779
+0.040377
+0.0397752
+0.0392809
+0.0388855
+0.0386106
+0.0384587
+0.038429
+0.0385023
+0.0386996
+0.038996
+0.0393878
+0.0398963
+0.0405082
+0.039931
+0.0387943
+0.0377365
+0.036779
+0.0359296
+0.0351963
+0.0344597
+0.0335483
+0.0327579
+0.0320876
+0.0315555
+0.0311686
+0.0309324
+0.0308503
+0.0309235
+0.0311511
+0.0315171
+0.031725
+0.0319325
+0.0322878
+0.0322905
+0.032285
+0.0323653
+0.0325566
+0.032787
+0.0325083
+0.0321488
+0.0319359
+0.0318715
+0.03193
+0.0321374
+0.0324916
+0.0329878
+0.0336197
+0.0343798
+0.0352598
+0.0362511
+0.0373446
+0.0385318
+0.0398042
+0.041154
+0.0425738
+0.0440568
+0.0455968
+0.0471883
+0.0488153
+0.0832165
+0.0818465
+0.0805128
+0.0790593
+0.0776013
+0.0761785
+0.0747659
+0.0733525
+0.071978
+0.0706447
+0.069355
+0.0681096
+0.0669122
+0.0657256
+0.0644168
+0.0631568
+0.0619415
+0.0607772
+0.0596273
+0.0584879
+0.0574029
+0.0563823
+0.0553743
+0.0543561
+0.053351
+0.0523575
+0.0514326
+0.0505857
+0.0498203
+0.0490268
+0.0482245
+0.0474852
+0.0467034
+0.0460127
+0.0454053
+0.0445186
+0.0434206
+0.0423876
+0.0414428
+0.0405552
+0.0397384
+0.0390204
+0.0383973
+0.037885
+0.037475
+0.0371896
+0.0370319
+0.0370011
+0.0370772
+0.037282
+0.0375896
+0.0379959
+0.0385228
+0.0391561
+0.0380981
+0.0369144
+0.0358063
+0.0347956
+0.0338966
+0.0331183
+0.0324695
+0.0315516
+0.0307103
+0.0299979
+0.029428
+0.0290127
+0.0287588
+0.0286704
+0.0287493
+0.0289939
+0.0293826
+0.0295929
+0.0298153
+0.0301886
+0.0301051
+0.0300976
+0.0301816
+0.0303728
+0.0306197
+0.03038
+0.029995
+0.0297667
+0.0296977
+0.0297604
+0.0299829
+0.0303622
+0.0308926
+0.0315665
+0.0323748
+0.0333079
+0.0343555
+0.0355074
+0.036754
+0.0380859
+0.0394944
+0.0409718
+0.0425107
+0.0441047
+0.0457369
+0.0474065
+0.0819027
+0.0805104
+0.0791542
+0.077836
+0.0763612
+0.0749148
+0.0735052
+0.0721036
+0.0707048
+0.0693471
+0.0680327
+0.0667645
+0.0655429
+0.0643723
+0.0631577
+0.0618721
+0.0606385
+0.0594516
+0.0583199
+0.0571768
+0.0560709
+0.0550256
+0.0540488
+0.0530279
+0.0520385
+0.0510385
+0.0500917
+0.0492218
+0.0484354
+0.0476675
+0.0468806
+0.046145
+0.0453834
+0.04467
+0.044054
+0.0433675
+0.0422537
+0.0411915
+0.0402186
+0.0393034
+0.03846
+0.0377252
+0.0370861
+0.0365542
+0.036129
+0.035833
+0.0356692
+0.0356397
+0.0357259
+0.0359385
+0.0362611
+0.0366821
+0.0372276
+0.0375136
+0.036305
+0.0350608
+0.0339077
+0.0328387
+0.0318845
+0.0310559
+0.0303629
+0.0295823
+0.0286833
+0.0279236
+0.0273104
+0.0268624
+0.026588
+0.0264924
+0.0265777
+0.0268421
+0.0272571
+0.0274701
+0.0277095
+0.0280089
+0.0279205
+0.0279107
+0.0279975
+0.0281901
+0.0284559
+0.0282612
+0.027847
+0.0276009
+0.0275265
+0.0275942
+0.027834
+0.0282422
+0.0288117
+0.0295331
+0.0303955
+0.0313875
+0.032497
+0.0337126
+0.0350231
+0.0364183
+0.0378889
+0.0394264
+0.0410234
+0.0426613
+0.0443385
+0.0460588
+0.0806271
+0.0792124
+0.0778335
+0.0764926
+0.0751645
+0.0736946
+0.0722612
+0.0708665
+0.0694775
+0.0680952
+0.0667563
+0.0654632
+0.0642189
+0.063024
+0.0618833
+0.0606394
+0.0593801
+0.0581761
+0.0570214
+0.0559109
+0.0547919
+0.0537239
+0.0527231
+0.0517584
+0.0507443
+0.0497738
+0.0488123
+0.0479192
+0.047111
+0.0463709
+0.0455949
+0.0448383
+0.044124
+0.0433899
+0.0427555
+0.0422253
+0.0411581
+0.0400796
+0.0390789
+0.0381364
+0.0372666
+0.0365078
+0.0358472
+0.0353042
+0.0348669
+0.0345601
+0.0343903
+0.0343596
+0.0344478
+0.0346682
+0.0350193
+0.0354551
+0.0360191
+0.0355894
+0.0345577
+0.0332482
+0.0320351
+0.0309131
+0.0298975
+0.0290122
+0.0282692
+0.0276463
+0.0266822
+0.025868
+0.0252054
+0.0247193
+0.0244208
+0.0243167
+0.0244096
+0.0246959
+0.0251427
+0.0253587
+0.025618
+0.0258263
+0.025737
+0.0257244
+0.0258146
+0.0260088
+0.0262966
+0.0261543
+0.0257061
+0.0254394
+0.0253587
+0.0254322
+0.0256922
+0.0261339
+0.0267483
+0.0275238
+0.0284472
+0.0295047
+0.0306824
+0.0319671
+0.0333463
+0.0348088
+0.0363445
+0.0379447
+0.0395892
+0.041275
+0.0430063
+0.0447778
+0.0793525
+0.0779543
+0.0765528
+0.075189
+0.0738651
+0.07252
+0.0710629
+0.0696443
+0.0682665
+0.0668917
+0.0655281
+0.0642104
+0.0629413
+0.061724
+0.0605589
+0.0594516
+0.0581771
+0.0569476
+0.0557772
+0.0546587
+0.0535516
+0.0524738
+0.0514565
+0.0505057
+0.0495132
+0.048551
+0.0475902
+0.046681
+0.0458511
+0.0451123
+0.0443756
+0.043601
+0.0429211
+0.0421848
+0.041532
+0.040986
+0.0401417
+0.0390579
+0.0380314
+0.0370623
+0.0361667
+0.0353843
+0.0347024
+0.0341412
+0.0337001
+0.0333825
+0.0332067
+0.0331749
+0.0332649
+0.0334931
+0.0338618
+0.0343242
+0.0346318
+0.0336943
+0.0326891
+0.0314836
+0.0301998
+0.029024
+0.027941
+0.0269916
+0.0261913
+0.0255544
+0.0247132
+0.0238319
+0.0231163
+0.0225853
+0.0222581
+0.0221439
+0.0222459
+0.0225543
+0.0230426
+0.0232621
+0.0235444
+0.0236452
+0.0235548
+0.023539
+0.023633
+0.0238291
+0.0241429
+0.0240623
+0.0235744
+0.0232833
+0.0231951
+0.0232755
+0.0235593
+0.0240403
+0.0247068
+0.0255443
+0.0265367
+0.0276674
+0.02892
+0.0302795
+0.0317321
+0.0332657
+0.0348695
+0.0365214
+0.0382171
+0.0399607
+0.0417466
+0.0435694
+0.0780987
+0.0766917
+0.075314
+0.0739274
+0.0725804
+0.0712753
+0.0699128
+0.0684703
+0.0670684
+0.0657097
+0.0643512
+0.0630089
+0.0617151
+0.060473
+0.0592859
+0.0581544
+0.0570328
+0.0557782
+0.0545827
+0.0534502
+0.0523714
+0.0512687
+0.0502375
+0.0492795
+0.0483477
+0.0473642
+0.0464384
+0.0455062
+0.0446544
+0.0438955
+0.0432025
+0.0424409
+0.0417421
+0.0410586
+0.0403903
+0.0398287
+0.0392215
+0.0381115
+0.0370828
+0.0360893
+0.0351689
+0.0343638
+0.0336614
+0.0330826
+0.0326386
+0.0323106
+0.0321289
+0.0320961
+0.0321879
+0.0324237
+0.0328044
+0.0328768
+0.0324928
+0.0318112
+0.0307712
+0.0297758
+0.0284148
+0.0271626
+0.0260219
+0.0249996
+0.0241334
+0.0234406
+0.0227848
+0.0218258
+0.0210478
+0.0204632
+0.0201016
+0.019975
+0.020088
+0.0204231
+0.020961
+0.0211846
+0.0214942
+0.021466
+0.0213743
+0.0213547
+0.0214534
+0.0216517
+0.021982
+0.0219896
+0.0214547
+0.0211343
+0.0210372
+0.0211258
+0.0214382
+0.0219656
+0.0226931
+0.0236022
+0.0246729
+0.025885
+0.0272198
+0.0286601
+0.0301907
+0.0317987
+0.033457
+0.0351661
+0.0369239
+0.0387259
+0.0405661
+0.0424397
+0.0768467
+0.0754573
+0.0740649
+0.0727099
+0.0713399
+0.0700117
+0.0687277
+0.0673472
+0.0659214
+0.0645385
+0.0632013
+0.0618616
+0.0605433
+0.0592767
+0.0580651
+0.0569119
+0.0558182
+0.0546715
+0.0534512
+0.0522943
+0.0512048
+0.0501305
+0.0490753
+0.0480968
+0.0471828
+0.0462498
+0.0453253
+0.0444025
+0.0435352
+0.0427564
+0.0420774
+0.0413577
+0.040647
+0.0400073
+0.0393376
+0.0387607
+0.0383006
+0.03727
+0.0362174
+0.0352258
+0.0342823
+0.0334559
+0.0327341
+0.0321386
+0.0316814
+0.0313434
+0.0311561
+0.0311222
+0.0312253
+0.0314683
+0.0312895
+0.0307646
+0.0303611
+0.0299629
+0.02886
+0.027886
+0.0266904
+0.0253532
+0.0241409
+0.0230438
+0.0221011
+0.0213424
+0.0207879
+0.0198587
+0.0190048
+0.0183573
+0.0179533
+0.0178115
+0.0179381
+0.0183058
+0.0189042
+0.0191322
+0.0194745
+0.0192895
+0.0191961
+0.0191718
+0.0192762
+0.0194772
+0.0198076
+0.0199422
+0.0193507
+0.0189949
+0.0188869
+0.0189856
+0.0193325
+0.0199157
+0.0207154
+0.0217075
+0.022867
+0.0241699
+0.0255943
+0.027121
+0.0287336
+0.0303975
+0.0321217
+0.0338981
+0.0357185
+0.0375783
+0.0394721
+0.0413952
+0.0755868
+0.0742298
+0.0728519
+0.0714759
+0.0701414
+0.0687947
+0.0674875
+0.066227
+0.0648281
+0.0634214
+0.0620601
+0.0607473
+0.0594291
+0.0581383
+0.0569025
+0.0557254
+0.0546105
+0.0535594
+0.0523839
+0.0512028
+0.0500898
+0.0490152
+0.0479851
+0.0469839
+0.0460481
+0.0451959
+0.0442591
+0.0433661
+0.0424932
+0.0417014
+0.0410049
+0.0403581
+0.0396417
+0.039017
+0.0383709
+0.0377897
+0.0373176
+0.0365406
+0.0354664
+0.0344802
+0.0335157
+0.0326698
+0.0319304
+0.0313196
+0.0308502
+0.0305029
+0.0303104
+0.0302756
+0.0303816
+0.0299297
+0.0292196
+0.0286597
+0.0282307
+0.0278655
+0.0269874
+0.0259431
+0.0250144
+0.0236084
+0.0223016
+0.021134
+0.020102
+0.0192647
+0.0186485
+0.0179434
+0.0169936
+0.0162738
+0.0158166
+0.0156555
+0.0157994
+0.0162081
+0.016881
+0.0171143
+0.0173527
+0.0171165
+0.017021
+0.0169909
+0.0171025
+0.0173068
+0.017636
+0.0179286
+0.0172683
+0.0168686
+0.0167469
+0.0168583
+0.017248
+0.0178993
+0.018785
+0.0198737
+0.0211341
+0.0225374
+0.0240586
+0.0256748
+0.0273466
+0.0290867
+0.0308842
+0.0327279
+0.0346099
+0.0365262
+0.0384718
+0.0404424
+0.0743633
+0.0729863
+0.0716498
+0.0702864
+0.0689289
+0.0676151
+0.0662965
+0.0650129
+0.0637787
+0.0623613
+0.0609763
+0.0596397
+0.0583547
+0.0570613
+0.0558016
+0.0546009
+0.0534629
+0.0523912
+0.0513621
+0.0501805
+0.0490443
+0.0479463
+0.0469211
+0.0459485
+0.0449916
+0.0441216
+0.0432658
+0.0423871
+0.0415248
+0.0407304
+0.0400237
+0.0394099
+0.038722
+0.038096
+0.0375006
+0.0369085
+0.0364273
+0.0359302
+0.0348371
+0.0338504
+0.0328773
+0.0320146
+0.0312599
+0.0306357
+0.0301555
+0.0298002
+0.0296031
+0.0295674
+0.0288301
+0.0279309
+0.0271686
+0.0265656
+0.0261102
+0.0257236
+0.0251662
+0.0240429
+0.0230735
+0.0219438
+0.0205313
+0.0192648
+0.0181472
+0.0172151
+0.0165226
+0.0160717
+0.0150327
+0.0142225
+0.0136971
+0.0135106
+0.0136771
+0.0141387
+0.0149052
+0.0151444
+0.0152109
+0.0149488
+0.0148504
+0.0148129
+0.0149337
+0.0151423
+0.0154698
+0.0157555
+0.0152163
+0.0147612
+0.0146221
+0.0147495
+0.0151935
+0.015929
+0.0169181
+0.0181194
+0.0194935
+0.0210067
+0.0226243
+0.0243077
+0.0260666
+0.0278867
+0.0297568
+0.0316662
+0.0336076
+0.0355779
+0.0375727
+0.0395881
+0.0731848
+0.0717853
+0.0704261
+0.0691096
+0.0677656
+0.0664288
+0.0651382
+0.0638509
+0.0625938
+0.061361
+0.059953
+0.058593
+0.0572846
+0.0560313
+0.0547664
+0.0535424
+0.0523814
+0.0512878
+0.0502651
+0.0492283
+0.0480759
+0.0469553
+0.045908
+0.0449431
+0.0440187
+0.0431292
+0.0423343
+0.0414649
+0.0406515
+0.0398397
+0.0391195
+0.0385011
+0.0379066
+0.0372721
+0.0367404
+0.0361292
+0.0356375
+0.0352717
+0.0343364
+0.0333348
+0.032375
+0.0314985
+0.0307312
+0.0300961
+0.029607
+0.029245
+0.0290441
+0.0279638
+0.0269098
+0.0259631
+0.0251412
+0.0244883
+0.0240023
+0.0235907
+0.0233492
+0.0221964
+0.0211424
+0.0202188
+0.0188495
+0.0174615
+0.0162502
+0.0152049
+0.0144162
+0.0139119
+0.0131445
+0.0122145
+0.0116039
+0.0113833
+0.0115771
+0.0121119
+0.0129986
+0.0132077
+0.0130805
+0.0127889
+0.0126791
+0.0126366
+0.0127693
+0.0129866
+0.0133116
+0.013587
+0.013209
+0.012682
+0.0125199
+0.0126686
+0.0131828
+0.0140242
+0.0151383
+0.0164699
+0.0179706
+0.0195877
+0.0212858
+0.0230671
+0.0249137
+0.0268122
+0.0287523
+0.0307241
+0.0327216
+0.0347422
+0.0367813
+0.0388365
+0.0720017
+0.0706242
+0.0692415
+0.0679014
+0.0666063
+0.0652714
+0.0639713
+0.0627118
+0.0614547
+0.0602248
+0.0589933
+0.0576107
+0.0562794
+0.0550032
+0.0537791
+0.0525539
+0.0513707
+0.0502551
+0.0492118
+0.0482091
+0.0471895
+0.0460473
+0.0449788
+0.0439936
+0.0430973
+0.0422272
+0.041415
+0.0406398
+0.0398238
+0.0390516
+0.0383167
+0.0376851
+0.0371542
+0.0365558
+0.036026
+0.0354678
+0.0349668
+0.0345944
+0.0339697
+0.032957
+0.0319887
+0.0311014
+0.0303387
+0.029701
+0.0292079
+0.0287722
+0.0274073
+0.0261548
+0.0250317
+0.0240339
+0.0231437
+0.0224327
+0.0219107
+0.0214694
+0.0212037
+0.0204179
+0.0192669
+0.0183067
+0.0171456
+0.0157567
+0.0144039
+0.0132519
+0.012339
+0.0117636
+0.0113445
+0.0102756
+0.00955467
+0.00928545
+0.00950937
+0.0101535
+0.0111554
+0.0113569
+0.0109583
+0.0106415
+0.0105138
+0.0104595
+0.010584
+0.010833
+0.0111661
+0.0114268
+0.0112364
+0.010627
+0.0104349
+0.0106319
+0.0112397
+0.0122156
+0.0134801
+0.01496
+0.016574
+0.0182895
+0.0200976
+0.0219754
+0.0239065
+0.025879
+0.027884
+0.0299127
+0.0319591
+0.0340235
+0.0361028
+0.0381945
+0.070839
+0.069464
+0.0681018
+0.0667388
+0.0654207
+0.0641479
+0.0628305
+0.0615567
+0.0603263
+0.0590997
+0.0578983
+0.056696
+0.0553428
+0.0540444
+0.0527981
+0.0516143
+0.0504348
+0.0492981
+0.0482341
+0.0472467
+0.0462414
+0.0452272
+0.0441389
+0.0431345
+0.04222
+0.0414013
+0.0405932
+0.0398683
+0.0390819
+0.0383574
+0.0376166
+0.036981
+0.036458
+0.0359561
+0.0354188
+0.0348947
+0.034397
+0.0340215
+0.0337402
+0.0327188
+0.0317464
+0.0308521
+0.0300831
+0.0294399
+0.0287369
+0.0271944
+0.0257459
+0.0244084
+0.0232009
+0.0221326
+0.0211843
+0.0204052
+0.0198381
+0.0193636
+0.0190686
+0.0187103
+0.017465
+0.0163996
+0.0154711
+0.014077
+0.0126664
+0.0113682
+0.010309
+0.00961835
+0.00931683
+0.0084606
+0.00758441
+0.00724232
+0.0075114
+0.00831183
+0.00941166
+0.00930222
+0.00886858
+0.0085163
+0.0083616
+0.00828957
+0.00840154
+0.00868508
+0.00899861
+0.00928106
+0.00933476
+0.0086306
+0.00839297
+0.00867058
+0.00940598
+0.0105529
+0.0119939
+0.0135982
+0.0153337
+0.0171735
+0.0190876
+0.0210557
+0.0230639
+0.0251027
+0.0271638
+0.0292389
+0.0313294
+0.0334327
+0.0355465
+0.0376691
+0.0697143
+0.0683361
+0.0669732
+0.0656287
+0.0642879
+0.0629948
+0.0617404
+0.0604447
+0.0591949
+0.0580009
+0.0568115
+0.055647
+0.0544781
+0.0531587
+0.0518911
+0.0506861
+0.0495487
+0.0484089
+0.0473215
+0.0463124
+0.0453654
+0.0444029
+0.0433935
+0.0423714
+0.04144
+0.0406056
+0.0398742
+0.0391338
+0.038433
+0.0376984
+0.0370159
+0.0363798
+0.0358638
+0.035415
+0.0349237
+0.0344252
+0.0339467
+0.0335781
+0.0333376
+0.0326008
+0.0316542
+0.0307572
+0.0299858
+0.0289902
+0.02731
+0.0257058
+0.0241691
+0.022739
+0.0214377
+0.0202885
+0.0192748
+0.018415
+0.0177851
+0.0172788
+0.0169476
+0.0168616
+0.0157555
+0.0145725
+0.0136337
+0.0123823
+0.0110072
+0.00958125
+0.00836054
+0.00749233
+0.00712982
+0.00666079
+0.00575482
+0.00529584
+0.00565795
+0.00668415
+0.00777795
+0.0072708
+0.00681491
+0.00642011
+0.00623561
+0.00613442
+0.00622478
+0.00650643
+0.0068096
+0.00713365
+0.0074471
+0.00675573
+0.00644941
+0.00684867
+0.00775966
+0.00911594
+0.0106922
+0.0124473
+0.0143229
+0.0162774
+0.0182855
+0.0203313
+0.0224046
+0.0244978
+0.0266015
+0.0287169
+0.0308427
+0.032977
+0.0351183
+0.0372653
+0.0686412
+0.0672409
+0.065883
+0.064535
+0.0632108
+0.0618952
+0.0606302
+0.0593891
+0.0581192
+0.0569026
+0.0557457
+0.0546033
+0.0534804
+0.0523368
+0.051062
+0.049837
+0.0486798
+0.0475953
+0.0464909
+0.0454633
+0.0445198
+0.04358
+0.0427101
+0.0417095
+0.040763
+0.0399144
+0.0391701
+0.0384886
+0.0378473
+0.0371546
+0.0365258
+0.0358923
+0.0353719
+0.0349812
+0.0345502
+0.0340716
+0.0336176
+0.0332564
+0.0330136
+0.0326298
+0.0317135
+0.0308182
+0.0295654
+0.0277475
+0.0259871
+0.0242969
+0.0226921
+0.0211649
+0.0197602
+0.0185088
+0.0174047
+0.0164759
+0.0157686
+0.0152239
+0.0148469
+0.0147487
+0.0141425
+0.0128416
+0.0117848
+0.0108582
+0.00929964
+0.00792423
+0.00650839
+0.00541806
+0.00494396
+0.00500634
+0.00406165
+0.00361343
+0.00414753
+0.00544129
+0.00564924
+0.00534204
+0.00475702
+0.00435621
+0.00415234
+0.00400384
+0.00406158
+0.00433752
+0.00462221
+0.00495551
+0.00529769
+0.005052
+0.00472717
+0.00528193
+0.00643765
+0.00793287
+0.00969246
+0.0115998
+0.0135928
+0.0156388
+0.0177195
+0.0198238
+0.0219451
+0.0240737
+0.0262099
+0.0283545
+0.0305056
+0.032662
+0.0348226
+0.0369868
+0.0675598
+0.0661882
+0.0648213
+0.0634786
+0.0621557
+0.0608545
+0.0595674
+0.0583342
+0.0571017
+0.0558687
+0.0546899
+0.0535747
+0.0524831
+0.0514014
+0.0502892
+0.0490711
+0.0478953
+0.0467927
+0.0457501
+0.0447055
+0.0437457
+0.0428322
+0.0419478
+0.0411518
+0.0401941
+0.0393333
+0.0385777
+0.0379338
+0.0373086
+0.0367019
+0.0360946
+0.0355235
+0.0350053
+0.0346129
+0.0342806
+0.033832
+0.0334291
+0.0330658
+0.0328216
+0.0326979
+0.0319045
+0.0303021
+0.0284378
+0.0266128
+0.0247876
+0.0230093
+0.0213081
+0.0197037
+0.0181921
+0.0168246
+0.0156169
+0.0146063
+0.0138054
+0.0132126
+0.0127764
+0.0126622
+0.0125165
+0.0111531
+0.0100238
+0.0090035
+0.00778853
+0.0062324
+0.00483047
+0.00347644
+0.00276193
+0.00334781
+0.0025882
+0.00239456
+0.00319715
+0.0040098
+0.0035481
+0.00335585
+0.00282745
+0.00242027
+0.00216305
+0.00192812
+0.00191056
+0.00218345
+0.00244072
+0.00279275
+0.0031932
+0.00356403
+0.00349739
+0.00416883
+0.00553903
+0.00722146
+0.00911937
+0.0111254
+0.0131865
+0.0152751
+0.0173883
+0.0195186
+0.021661
+0.0238121
+0.0259699
+0.0281328
+0.0302996
+0.0324697
+0.0346423
+0.0368171
+0.0665134
+0.0651319
+0.063779
+0.062461
+0.0611366
+0.0598422
+0.0585674
+0.0573127
+0.0561155
+0.0548938
+0.0537027
+0.0525666
+0.0514987
+0.0504531
+0.0494241
+0.0483473
+0.0471996
+0.0460629
+0.0450014
+0.0440234
+0.0430692
+0.0421603
+0.0412855
+0.0404778
+0.0394696
+0.0383028
+0.0372285
+0.0362549
+0.0353903
+0.0346428
+0.0340035
+0.033457
+0.0330469
+0.0327785
+0.0326551
+0.0326659
+0.0327792
+0.0330198
+0.0327752
+0.0326514
+0.0313148
+0.0293515
+0.0274226
+0.0255361
+0.0236933
+0.0218659
+0.020068
+0.0183556
+0.0167549
+0.0152693
+0.0139447
+0.0128056
+0.0119217
+0.0112652
+0.0107537
+0.0106177
+0.0107839
+0.00950636
+0.00822417
+0.00728376
+0.00634039
+0.00474953
+0.0031979
+0.00173673
+0.00060054
+0.00177451
+0.00165808
+0.00192746
+0.00299606
+0.00212699
+0.00155564
+0.00142971
+0.00104334
+0.000704284
+0.000431712
+0.000185966
+-0.000115823
+4.95911e-05
+0.000267045
+0.000669897
+0.0012599
+0.00201123
+0.00285902
+0.00395465
+0.00536546
+0.00707564
+0.00898893
+0.0110014
+0.0130713
+0.0151752
+0.0173006
+0.0194406
+0.0215907
+0.0237482
+0.0259113
+0.0280787
+0.0302494
+0.0324228
+0.0345984
+0.0367758
+0.0654643
+0.0641182
+0.0627627
+0.0614261
+0.0601364
+0.0588646
+0.0575931
+0.0563578
+0.0551399
+0.053983
+0.0527755
+0.0516315
+0.0505442
+0.0495296
+0.0485361
+0.0475666
+0.04653
+0.0454243
+0.0443475
+0.0433548
+0.042452
+0.0415735
+0.0403477
+0.0389787
+0.0376874
+0.0364665
+0.0353364
+0.0343091
+0.0333942
+0.0326009
+0.0319251
+0.0313424
+0.0309043
+0.0306171
+0.030485
+0.0304955
+0.0306168
+0.0308934
+0.0313211
+0.0311658
+0.0305533
+0.0285377
+0.0265498
+0.0245964
+0.0226864
+0.0208256
+0.0190003
+0.0171818
+0.0154601
+0.0138714
+0.0124318
+0.0111421
+0.0101591
+0.00942406
+0.00880879
+0.00862675
+0.00879596
+0.0080852
+0.00657448
+0.00548244
+0.00448794
+0.00353149
+0.00183
+0.000271571
+-0.000611187
+0.000916209
+0.000772128
+0.000826576
+0.000962319
+0.000413029
+6.83165e-05
+-0.00012493
+-0.000185735
+-0.000311443
+-0.000309652
+-0.000489016
+-0.000717901
+-0.00105311
+-0.00100506
+-0.000380894
+0.000576008
+0.00169674
+0.00295586
+0.004349
+0.00581161
+0.00747185
+0.00933535
+0.0112955
+0.0133198
+0.0153898
+0.0174891
+0.0196085
+0.021742
+0.0238859
+0.0260375
+0.0281952
+0.0303576
+0.0325238
+0.0346931
+0.0368648
+0.0644113
+0.0630923
+0.0617721
+0.060453
+0.059142
+0.0578843
+0.0566622
+0.0554209
+0.0542352
+0.053059
+0.05192
+0.0507579
+0.0496654
+0.0486351
+0.0476806
+0.046746
+0.0458402
+0.0448532
+0.0437937
+0.0426104
+0.0413874
+0.040218
+0.0387207
+0.037292
+0.0359401
+0.0346713
+0.0334806
+0.0323946
+0.0314239
+0.0305797
+0.0298628
+0.029239
+0.0287689
+0.0284601
+0.028318
+0.0283282
+0.0284588
+0.0287561
+0.0292151
+0.0290261
+0.0288986
+0.0278715
+0.0258332
+0.0238216
+0.021844
+0.019911
+0.0180342
+0.0161921
+0.0143841
+0.0126611
+0.0110993
+0.00969063
+0.00854599
+0.00773221
+0.00697566
+0.00673539
+0.00686837
+0.00627155
+0.00513074
+0.00381395
+0.00265558
+0.00211454
+0.000837627
+-0.000702734
+-0.00117038
+-0.000658455
+-0.000983652
+-0.00100404
+-0.00102979
+-0.00120404
+-0.0016999
+-0.00119815
+-0.000276066
+0.000451938
+0.00075929
+0.00104924
+0.00114582
+0.00103534
+0.00101736
+0.00130568
+0.00196048
+0.00276314
+0.00385273
+0.00520309
+0.00672669
+0.00831333
+0.0100714
+0.0119317
+0.0138882
+0.0159043
+0.0179451
+0.0200162
+0.0221104
+0.0242217
+0.0263459
+0.0284803
+0.0306225
+0.0327712
+0.0349251
+0.0370833
+0.0633927
+0.0620764
+0.0607856
+0.059495
+0.0582132
+0.0569349
+0.0557136
+0.0545408
+0.0533402
+0.0522039
+0.0510815
+0.049964
+0.0488537
+0.047818
+0.0468499
+0.0459582
+0.0450882
+0.0436233
+0.0422027
+0.0408503
+0.039573
+0.0383769
+0.0371516
+0.0356601
+0.0342439
+0.0329127
+0.0316677
+0.0305172
+0.0294848
+0.0285833
+0.0278169
+0.0271494
+0.0266425
+0.0263088
+0.0261549
+0.0261649
+0.0263061
+0.0266275
+0.0271226
+0.0268945
+0.0267595
+0.026789
+0.0252839
+0.0232251
+0.0211927
+0.0191953
+0.0172448
+0.0153591
+0.0135094
+0.0117364
+0.0100339
+0.00848672
+0.00723806
+0.00627922
+0.0053588
+0.00509002
+0.00511315
+0.00444385
+0.0034951
+0.00212107
+0.000867904
+0.000377963
+-0.000898707
+-0.00214198
+-0.00256179
+-0.00232998
+-0.00297456
+-0.00302113
+-0.00308214
+-0.00322142
+-0.00209852
+-0.00133575
+-0.000213022
+0.00128382
+0.00262667
+0.00309133
+0.00325919
+0.00321834
+0.00319244
+0.00336942
+0.00383385
+0.0044488
+0.00534058
+0.00652195
+0.00794119
+0.00949648
+0.0111106
+0.0128637
+0.0147233
+0.0166401
+0.0186174
+0.0206378
+0.0226853
+0.0247476
+0.0268303
+0.0289289
+0.0310402
+0.0331618
+0.0352919
+0.037429
+0.0624343
+0.0610974
+0.0598109
+0.058552
+0.0572948
+0.0560551
+0.0548141
+0.053634
+0.0525091
+0.0513547
+0.0502693
+0.0492196
+0.0481281
+0.0470765
+0.0460918
+0.0451479
+0.043557
+0.0420201
+0.0405434
+0.0391337
+0.0377984
+0.0365457
+0.0353793
+0.0340909
+0.0326066
+0.0312056
+0.0298997
+0.0286843
+0.0275834
+0.0266176
+0.0257857
+0.0250771
+0.0245274
+0.0241645
+0.0239969
+0.0240064
+0.0241604
+0.0245099
+0.0250468
+0.0247732
+0.0246296
+0.0246616
+0.0248768
+0.0228237
+0.0207521
+0.0187077
+0.0167004
+0.0147454
+0.0128398
+0.0110318
+0.00930271
+0.00768813
+0.00630837
+0.00528056
+0.00424884
+0.00383266
+0.00350823
+0.00279252
+0.00183529
+0.00104463
+-0.000918361
+-0.00164627
+-0.00263596
+-0.00389234
+-0.00444713
+-0.00428591
+-0.00467976
+-0.00500963
+-0.00380595
+-0.00206506
+-0.000828064
+0.000114018
+0.0011055
+0.00250082
+0.00406577
+0.00521096
+0.00541155
+0.00540371
+0.00537966
+0.00550695
+0.00588403
+0.0063729
+0.00713736
+0.00813876
+0.00941485
+0.0108667
+0.0124223
+0.0140289
+0.0157638
+0.0175969
+0.0194962
+0.0214339
+0.0234163
+0.0254329
+0.0274761
+0.0295336
+0.0316045
+0.0336906
+0.0357893
+0.0378983
+0.061539
+0.0601822
+0.0588757
+0.0576228
+0.0564003
+0.055181
+0.0539887
+0.0527901
+0.0516548
+0.0505727
+0.0494812
+0.0484523
+0.0474439
+0.0464052
+0.045402
+0.0437107
+0.0420655
+0.0404721
+0.0389367
+0.0374666
+0.0360696
+0.0347547
+0.0335315
+0.0324005
+0.0310377
+0.0295624
+0.0281804
+0.0269048
+0.0257281
+0.0246898
+0.0237827
+0.0230267
+0.0224268
+0.0220293
+0.0218453
+0.0218544
+0.0220234
+0.0224063
+0.0229697
+0.0226652
+0.0225113
+0.0225463
+0.0227816
+0.0226283
+0.020537
+0.0184687
+0.0164323
+0.014441
+0.012489
+0.0106213
+0.00890226
+0.00732756
+0.00595311
+0.00490195
+0.00364531
+0.00292508
+0.00238871
+0.00150375
+0.000557744
+-0.000405547
+-0.00150773
+-0.00337564
+-0.00449482
+-0.00564712
+-0.00651558
+-0.00635182
+-0.00649294
+-0.00511769
+-0.00294594
+-0.000815926
+0.000765919
+0.00190898
+0.00283106
+0.00390789
+0.00487577
+0.00617047
+0.00758481
+0.00758942
+0.00756855
+0.00766349
+0.00799679
+0.00840903
+0.00906979
+0.00993253
+0.0110658
+0.0123916
+0.0138498
+0.0154014
+0.017011
+0.0187259
+0.0205315
+0.0224012
+0.024319
+0.0262664
+0.0282494
+0.0302611
+0.0322961
+0.0343499
+0.0364118
+0.0384868
+0.0606957
+0.0593339
+0.0580082
+0.0567362
+0.0555215
+0.05434
+0.0531638
+0.0520109
+0.0508653
+0.0497658
+0.04874
+0.0477242
+0.0467398
+0.0457803
+0.0440718
+0.0423381
+0.0406375
+0.0389857
+0.0373894
+0.0358558
+0.0343935
+0.0330119
+0.0317216
+0.0305312
+0.0294464
+0.0279943
+0.0265307
+0.0251729
+0.0239133
+0.0227922
+0.0218047
+0.0209981
+0.0203452
+0.0199062
+0.0197024
+0.019711
+0.0198981
+0.0203211
+0.020913
+0.0205744
+0.0204083
+0.0204469
+0.0207048
+0.0211564
+0.0205356
+0.0184778
+0.0164412
+0.0144498
+0.0125174
+0.0106547
+0.00894208
+0.00726674
+0.00554985
+0.00407044
+0.00265517
+0.0013804
+0.000571279
+0.000189759
+-0.000445747
+-0.00153711
+-0.0028182
+-0.00457287
+-0.00629138
+-0.00746679
+-0.00843495
+-0.00829988
+-0.00743969
+-0.00529713
+-0.00321037
+-0.00129205
+-0.000116225
+0.00104995
+0.00254379
+0.00358677
+0.00519483
+0.00665988
+0.00817574
+0.00977684
+0.00975797
+0.00983445
+0.0101427
+0.0105075
+0.0110642
+0.0118459
+0.0128491
+0.0140343
+0.0153976
+0.0168743
+0.018417
+0.0200283
+0.0217259
+0.0235052
+0.0253479
+0.0272392
+0.0291671
+0.0311195
+0.0331018
+0.0351088
+0.0371366
+0.0391819
+0.0598883
+0.0585363
+0.0572115
+0.0559214
+0.0546886
+0.0535172
+0.052382
+0.0512545
+0.0501349
+0.0490434
+0.0480022
+0.04704
+0.0460801
+0.0446301
+0.0428095
+0.0410251
+0.0392796
+0.0375683
+0.035909
+0.0343094
+0.0327782
+0.0313254
+0.0299625
+0.0287023
+0.0275508
+0.0264981
+0.0249467
+0.0234974
+0.0221459
+0.0209306
+0.0198692
+0.0189814
+0.0182892
+0.0177995
+0.0175713
+0.0175791
+0.0177887
+0.0182606
+0.0188864
+0.0185067
+0.0183258
+0.0183689
+0.0186477
+0.0191469
+0.0198306
+0.0183118
+0.0163286
+0.0143725
+0.0124946
+0.0106927
+0.00885132
+0.00707257
+0.00535681
+0.00361785
+0.00194714
+0.000504781
+-0.00035178
+-0.00123332
+-0.00218143
+-0.00293499
+-0.00411984
+-0.00551741
+-0.00690227
+-0.00840354
+-0.00817209
+-0.00787836
+-0.00722274
+-0.00569628
+-0.00359524
+-0.00169157
+-0.00038106
+0.000705721
+0.00183271
+0.00337865
+0.00500648
+0.00662848
+0.00843937
+0.0100902
+0.0118826
+0.0120126
+0.0122823
+0.0126266
+0.0131214
+0.0138375
+0.0147211
+0.0158105
+0.017049
+0.0184285
+0.0199215
+0.0214561
+0.023067
+0.0247501
+0.0265075
+0.0283254
+0.0301905
+0.0320955
+0.0340296
+0.0359849
+0.037966
+0.0399689
+0.0591256
+0.0577733
+0.0564579
+0.0551816
+0.0539319
+0.0527436
+0.051621
+0.0505382
+0.0494657
+0.0483847
+0.0473544
+0.0463787
+0.0453935
+0.0434946
+0.0416244
+0.0397868
+0.0379868
+0.0362277
+0.0345044
+0.0328364
+0.031233
+0.0297048
+0.0282638
+0.0269242
+0.0257018
+0.0245995
+0.0234398
+0.0218909
+0.020459
+0.0191385
+0.017987
+0.0170069
+0.0162586
+0.0157155
+0.0154565
+0.0154631
+0.0157016
+0.0162055
+0.0169008
+0.0164709
+0.0162718
+0.0163203
+0.0166248
+0.0171669
+0.0179263
+0.0181097
+0.0161648
+0.0142036
+0.0122773
+0.0104043
+0.00862642
+0.00690172
+0.00531898
+0.00387292
+0.00266108
+0.00192255
+0.000670562
+-0.000611738
+-0.00184297
+-0.00305074
+-0.00431045
+-0.0055047
+-0.00681093
+-0.00802956
+-0.00764866
+-0.00677152
+-0.00541531
+-0.00453775
+-0.00349926
+-0.00168953
+-0.000521511
+0.000693811
+0.00181056
+0.00344525
+0.00492699
+0.00657222
+0.00822392
+0.00987878
+0.0117034
+0.0136363
+0.0144343
+0.0147601
+0.0152071
+0.0158579
+0.0166602
+0.0176615
+0.0187956
+0.0200891
+0.0214786
+0.0229822
+0.0245099
+0.0261197
+0.0277906
+0.0295296
+0.0313253
+0.0331685
+0.0350487
+0.0369629
+0.0389012
+0.0408583
+0.0583624
+0.0570383
+0.0557472
+0.0544694
+0.0532382
+0.0520509
+0.050913
+0.0498455
+0.0488146
+0.0477919
+0.0467633
+0.0458095
+0.0443781
+0.0424383
+0.040523
+0.0386332
+0.0367767
+0.0349589
+0.0331843
+0.0314471
+0.029769
+0.0281614
+0.0266371
+0.0252112
+0.0239013
+0.0227183
+0.0216854
+0.0203934
+0.0188488
+0.017437
+0.0161655
+0.0150922
+0.0142436
+0.0136505
+0.0133516
+0.0133635
+0.013647
+0.014183
+0.014961
+0.0144783
+0.0142586
+0.0143139
+0.0146502
+0.0152447
+0.0160764
+0.0171126
+0.0161656
+0.0142227
+0.012338
+0.0104924
+0.00878137
+0.00725773
+0.00583556
+0.00448167
+0.00274731
+0.00149356
+-0.000109825
+-0.00110771
+-0.00224489
+-0.00338653
+-0.00444859
+-0.00534182
+-0.0065707
+-0.00727303
+-0.00676427
+-0.00567895
+-0.00396517
+-0.00266602
+-0.00232851
+-0.00127096
+-0.000509081
+0.00101739
+0.00205865
+0.00349261
+0.00507087
+0.00683648
+0.00847504
+0.0101222
+0.0119245
+0.0138319
+0.0158081
+0.0169078
+0.0173132
+0.0179086
+0.0186523
+0.0195643
+0.0206268
+0.0218123
+0.0231386
+0.0245407
+0.0260483
+0.0275737
+0.0291818
+0.0308426
+0.032566
+0.0343426
+0.0361647
+0.0380249
+0.0399167
+0.0418377
+0.0576274
+0.0563187
+0.0550326
+0.0538051
+0.0525724
+0.0513892
+0.0502736
+0.0492094
+0.0482038
+0.0472069
+0.0462156
+0.0452774
+0.0434495
+0.0414662
+0.0395049
+0.0375689
+0.0356603
+0.0337825
+0.0319445
+0.0301521
+0.0283986
+0.0267087
+0.0250963
+0.0235774
+0.0221712
+0.0208937
+0.0197656
+0.0188258
+0.0173629
+0.0158254
+0.0144371
+0.0132499
+0.0122889
+0.0116267
+0.0112742
+0.01129
+0.0116121
+0.0122132
+0.0130423
+0.0125237
+0.0122748
+0.0123617
+0.0127465
+0.0133933
+0.0143084
+0.0154635
+0.0163405
+0.0144734
+0.0126785
+0.0108105
+0.00888467
+0.00708839
+0.0055813
+0.00427363
+0.00275273
+0.00159051
+0.000238693
+-0.00113384
+-0.00197003
+-0.00315369
+-0.00460714
+-0.0049773
+-0.00512723
+-0.00514026
+-0.00468135
+-0.0042311
+-0.00324861
+-0.00142868
+-0.000878627
+-0.000888
+-0.000115341
+0.00117533
+0.00245801
+0.00360361
+0.00509067
+0.00685378
+0.00863854
+0.0105581
+0.0124419
+0.0143052
+0.0162349
+0.0182236
+0.019438
+0.0199853
+0.0206832
+0.0215125
+0.022508
+0.0236132
+0.024849
+0.0261899
+0.0276109
+0.029115
+0.0306443
+0.0322497
+0.0339029
+0.035613
+0.0373732
+0.0391768
+0.0410182
+0.0425514
+0.0569141
+0.0556488
+0.0543739
+0.0531321
+0.051952
+0.0507936
+0.0496646
+0.0486082
+0.0476292
+0.0467074
+0.0457414
+0.0446325
+0.0426033
+0.0405892
+0.0385833
+0.0365985
+0.0346387
+0.0327081
+0.0308088
+0.0289478
+0.0271347
+0.0253622
+0.0236582
+0.0220404
+0.0205292
+0.0191461
+0.0179082
+0.0168652
+0.0158675
+0.014342
+0.0128183
+0.0114837
+0.0104285
+0.00966732
+0.00924923
+0.00926992
+0.00962169
+0.0103184
+0.0111954
+0.0106591
+0.0103654
+0.010467
+0.0108825
+0.0116308
+0.012653
+0.0139459
+0.0154169
+0.0146851
+0.0126046
+0.0105684
+0.00857507
+0.00669625
+0.00506975
+0.00398079
+0.00269392
+0.00103818
+-6.66975e-05
+-0.00154962
+-0.00236538
+-0.00270267
+-0.00273821
+-0.00286749
+-0.00293801
+-0.0029506
+-0.0026499
+-0.00212359
+-0.00216101
+-0.00121926
+-0.000320456
+-1.26916e-05
+0.000258471
+0.00144778
+0.00267226
+0.00409483
+0.00557315
+0.00727562
+0.00906717
+0.0108421
+0.0127422
+0.0147233
+0.0167566
+0.0188253
+0.0208072
+0.0220811
+0.0227218
+0.0235018
+0.0244295
+0.025471
+0.0266247
+0.0278992
+0.029251
+0.0306867
+0.0321877
+0.03372
+0.0353218
+0.0369696
+0.0381486
+0.0393787
+0.0406897
+0.0420067
+0.0562319
+0.0549719
+0.0537701
+0.052532
+0.0513471
+0.0502218
+0.0491459
+0.0480781
+0.0470881
+0.0461808
+0.0452944
+0.0439071
+0.0418427
+0.0397919
+0.0377567
+0.0357363
+0.0337264
+0.0317404
+0.0297831
+0.0278606
+0.025975
+0.0241377
+0.0223427
+0.020622
+0.0189983
+0.0174984
+0.0161346
+0.0149685
+0.0139528
+0.0129716
+0.0113628
+0.00986666
+0.00863228
+0.00779686
+0.00732035
+0.00732809
+0.00773059
+0.0085381
+0.00938905
+0.00882717
+0.00856613
+0.00867868
+0.00916093
+0.00999659
+0.011168
+0.0125825
+0.0141882
+0.014774
+0.0127087
+0.0106821
+0.00870733
+0.00686435
+0.00524944
+0.00382126
+0.00197697
+0.000650957
+-0.00114318
+-0.000540663
+-0.000579315
+-0.000638917
+-0.000702223
+-0.000752856
+-0.000748799
+-0.000760952
+-0.000541546
+-9.8815e-05
+-0.000183922
+4.31892e-05
+0.000161934
+0.000117322
+0.00102241
+0.00160942
+0.00321994
+0.00448551
+0.00600787
+0.00759923
+0.00935226
+0.0112425
+0.0131024
+0.0150349
+0.016979
+0.0189616
+0.0209842
+0.0230235
+0.0247864
+0.025524
+0.0263819
+0.0273702
+0.0284583
+0.0296542
+0.030959
+0.0323192
+0.0336884
+0.0345774
+0.0355326
+0.0365887
+0.0376911
+0.0388087
+0.0400151
+0.0413026
+0.0556273
+0.0543533
+0.0531391
+0.0519889
+0.0508124
+0.0496831
+0.0486263
+0.0476289
+0.0466436
+0.0457092
+0.04486
+0.0432806
+0.0411848
+0.0390995
+0.0370263
+0.0349674
+0.0329256
+0.0308979
+0.0288836
+0.0268969
+0.0249443
+0.0230346
+0.0211698
+0.0193482
+0.0176073
+0.0159776
+0.0144757
+0.0131634
+0.0120907
+0.010992
+0.0100984
+0.00844963
+0.00703038
+0.00598787
+0.00547871
+0.00546149
+0.00593683
+0.0069054
+0.00772967
+0.00704233
+0.0068184
+0.00696665
+0.007594
+0.00857468
+0.00990666
+0.0114595
+0.0131701
+0.0150036
+0.013128
+0.011156
+0.0092405
+0.00732085
+0.00543359
+0.00380061
+0.00201296
+0.000543796
+0.000330581
+0.00153902
+0.00148006
+0.00138212
+0.00139877
+0.00135595
+0.00143719
+0.00142879
+0.00163296
+0.00200314
+0.00174519
+0.00172385
+0.00186413
+0.00179635
+0.00256365
+0.00271603
+0.00353101
+0.0046118
+0.00620376
+0.00797822
+0.00976761
+0.0116702
+0.0134615
+0.0152732
+0.0171734
+0.0191358
+0.0211209
+0.0231052
+0.0251238
+0.027169
+0.0283681
+0.0293056
+0.0303323
+0.0314637
+0.0319838
+0.032626
+0.0333999
+0.0342418
+0.0350622
+0.0359953
+0.0370346
+0.0381714
+0.0393972
+0.0406755
+0.0551033
+0.0538169
+0.0525903
+0.0514278
+0.0503339
+0.049226
+0.0481564
+0.0471538
+0.0462239
+0.045337
+0.0444806
+0.0426676
+0.0406309
+0.0385193
+0.0364131
+0.0343175
+0.0322346
+0.0301669
+0.0281178
+0.026082
+0.0240634
+0.0220777
+0.0201345
+0.0182452
+0.0163921
+0.0146276
+0.012971
+0.0114924
+0.0102675
+0.00910623
+0.00812511
+0.00725673
+0.00565888
+0.00439497
+0.00373216
+0.00373122
+0.004314
+0.00537862
+0.00625891
+0.00546989
+0.00521925
+0.00545693
+0.00621748
+0.00741565
+0.00890782
+0.0105876
+0.0124193
+0.014323
+0.0136903
+0.011605
+0.00956681
+0.00757735
+0.00569185
+0.00410498
+0.00286631
+0.00193309
+0.00230733
+0.00292063
+0.00346363
+0.00347489
+0.00345126
+0.00347084
+0.00362165
+0.00361879
+0.00380664
+0.00412522
+0.00348137
+0.00268595
+0.00218037
+0.00252028
+0.00342814
+0.00383949
+0.00406957
+0.00513594
+0.00658093
+0.00832562
+0.0101553
+0.0119805
+0.0138189
+0.0156149
+0.0174477
+0.0193377
+0.0212854
+0.0232763
+0.0252985
+0.0273307
+0.0293856
+0.0306979
+0.0309442
+0.0313258
+0.0317904
+0.0323506
+0.0329452
+0.0336613
+0.0344949
+0.0354387
+0.0364669
+0.0375794
+0.0387838
+0.0400719
+0.0546102
+0.0533536
+0.0521279
+0.0509548
+0.0498505
+0.0488195
+0.0477676
+0.0467673
+0.0458391
+0.0449888
+0.043785
+0.0417642
+0.0397614
+0.0377783
+0.0358172
+0.0337974
+0.0316802
+0.0295738
+0.0274805
+0.0254037
+0.023346
+0.0213038
+0.0192827
+0.0173031
+0.0153807
+0.0134999
+0.0116851
+0.0100184
+0.00859027
+0.0073486
+0.00615322
+0.00544491
+0.00462611
+0.00315729
+0.00231738
+0.00214634
+0.00280807
+0.00405171
+0.00516286
+0.00426829
+0.00390666
+0.00419025
+0.00514692
+0.006537
+0.0081757
+0.00998397
+0.0119017
+0.0138732
+0.0141259
+0.0121233
+0.0101545
+0.00827788
+0.00658625
+0.00524907
+0.00449765
+0.00401246
+0.00443801
+0.00481898
+0.0055322
+0.00554908
+0.00554549
+0.0056134
+0.00580615
+0.0058092
+0.00597126
+0.00469919
+0.00378688
+0.00321872
+0.00303528
+0.00323916
+0.00428927
+0.00480562
+0.00501544
+0.00582831
+0.00717848
+0.00887075
+0.0106495
+0.0124304
+0.0142702
+0.0160827
+0.0179156
+0.0197608
+0.0216706
+0.0236291
+0.0256252
+0.0276484
+0.0296862
+0.0306413
+0.0307876
+0.0310879
+0.0314446
+0.0318721
+0.0324318
+0.033124
+0.0339437
+0.034882
+0.0359262
+0.0370549
+0.0382758
+0.0395739
+0.0541851
+0.0529248
+0.0517156
+0.0505608
+0.0494595
+0.0484203
+0.0474302
+0.0464549
+0.0455469
+0.0447008
+0.0430169
+0.0409582
+0.038914
+0.0368865
+0.0348777
+0.0328898
+0.0309288
+0.0290008
+0.0270064
+0.0248901
+0.0227861
+0.020693
+0.0186223
+0.0165825
+0.0145805
+0.0125846
+0.0106613
+0.00884646
+0.00718902
+0.00578245
+0.00433998
+0.00337905
+0.00320868
+0.00253651
+0.00135803
+0.000894409
+0.00161186
+0.00313347
+0.00437862
+0.00342838
+0.00292707
+0.00319631
+0.00434318
+0.00599489
+0.00784622
+0.00969827
+0.0116608
+0.0136627
+0.0148323
+0.0129442
+0.0111218
+0.00943944
+0.00798975
+0.00684973
+0.00629245
+0.00613861
+0.00645069
+0.00689299
+0.00756403
+0.00761195
+0.00769166
+0.00778254
+0.00799261
+0.00780203
+0.00623717
+0.00503039
+0.0041247
+0.00339368
+0.00300749
+0.00327189
+0.00413394
+0.00547619
+0.00575654
+0.00661761
+0.00795031
+0.00942142
+0.0110417
+0.012827
+0.0146933
+0.0165987
+0.0184427
+0.0203554
+0.0222656
+0.024176
+0.0261304
+0.0281173
+0.0301234
+0.0304515
+0.0305813
+0.0307027
+0.030979
+0.031406
+0.031973
+0.0326749
+0.0335057
+0.0344482
+0.0354866
+0.0365842
+0.0377771
+0.0390565
+0.0537943
+0.0525732
+0.0513665
+0.0502152
+0.0491228
+0.0481055
+0.0471249
+0.0461996
+0.0453038
+0.0444505
+0.0423483
+0.0402554
+0.0381735
+0.0361046
+0.0340508
+0.0320142
+0.0299967
+0.0280046
+0.0260443
+0.0241169
+0.0222269
+0.0202969
+0.0181812
+0.0160856
+0.014019
+0.0119826
+0.00996433
+0.00801119
+0.0062184
+0.00452885
+0.00280836
+0.00150459
+0.00124431
+0.00190787
+0.0013022
+0.000509867
+0.00105519
+0.00234176
+0.00369673
+0.002685
+0.00217603
+0.00272796
+0.00412084
+0.00588174
+0.00785021
+0.00970927
+0.0116731
+0.0136985
+0.0157462
+0.0140414
+0.0124045
+0.0109205
+0.00963354
+0.00871108
+0.00828005
+0.00829366
+0.00855004
+0.00902232
+0.00961648
+0.00966473
+0.00980049
+0.00996111
+0.00968699
+0.00794621
+0.00639702
+0.00522
+0.00451589
+0.00390691
+0.00356312
+0.00349313
+0.00417399
+0.00555097
+0.00625071
+0.0070593
+0.00832156
+0.00974254
+0.0113119
+0.0130603
+0.0148975
+0.0168181
+0.0187268
+0.0206612
+0.0226423
+0.0246533
+0.0266336
+0.0286446
+0.0303472
+0.0302828
+0.0302542
+0.030377
+0.0306562
+0.0310876
+0.0316595
+0.0323682
+0.0331481
+0.0340398
+0.0350459
+0.0361569
+0.0373634
+0.0386125
+0.0534554
+0.0522264
+0.0510619
+0.0499457
+0.0488473
+0.0478241
+0.0468766
+0.0459588
+0.0451287
+0.0439132
+0.0417839
+0.0396613
+0.0375465
+0.0354409
+0.0333463
+0.0312649
+0.0291986
+0.0271489
+0.025122
+0.023125
+0.0211663
+0.0192463
+0.0173788
+0.0155897
+0.0137803
+0.0117024
+0.00965228
+0.00764608
+0.005708
+0.00384461
+0.00188894
+1.92001e-05
+-0.00062517
+0.000163323
+0.00154953
+0.000557967
+0.000265733
+0.00125575
+0.0026196
+0.00173914
+0.0014258
+0.00231626
+0.0039271
+0.00585967
+0.00785233
+0.00990206
+0.0119769
+0.0139711
+0.0160107
+0.015289
+0.0138339
+0.0125569
+0.0114616
+0.0106979
+0.01035
+0.0104528
+0.0106741
+0.0111754
+0.0117111
+0.0117644
+0.0119276
+0.0115005
+0.00963602
+0.0079398
+0.00651436
+0.00549745
+0.00479556
+0.00385612
+0.00366785
+0.00381347
+0.00456025
+0.00579051
+0.00673728
+0.00759646
+0.00878184
+0.0103021
+0.011854
+0.0135823
+0.0154134
+0.0172768
+0.0191398
+0.0210363
+0.0229851
+0.024974
+0.0269943
+0.0290392
+0.030182
+0.0300228
+0.0299869
+0.0301098
+0.0303631
+0.0307687
+0.0313226
+0.0320171
+0.0327956
+0.0336624
+0.0346463
+0.0357179
+0.0368825
+0.0381374
+0.0532047
+0.0519698
+0.0507993
+0.049698
+0.0486683
+0.0476412
+0.0466944
+0.045809
+0.0449762
+0.0434798
+0.0413281
+0.0391808
+0.0370386
+0.0349024
+0.0327734
+0.0306531
+0.0285433
+0.0264454
+0.0243622
+0.0222973
+0.0202587
+0.0182555
+0.0163006
+0.014388
+0.0125523
+0.0108392
+0.00929887
+0.0077909
+0.00585899
+0.00394585
+0.00194139
+-0.000205154
+-0.00173683
+-0.00136903
+0.000291415
+0.000658737
+-0.000421102
+0.000241367
+0.00155469
+0.000556687
+0.000981889
+0.00224325
+0.00403874
+0.00605883
+0.00812512
+0.0101906
+0.0122578
+0.0143532
+0.0164638
+0.016719
+0.015396
+0.0142577
+0.0133653
+0.0127517
+0.0124612
+0.0125522
+0.0128154
+0.0133074
+0.0138014
+0.0138922
+0.0131569
+0.011276
+0.00952334
+0.00797538
+0.00667578
+0.00577373
+0.00532116
+0.00437006
+0.00382535
+0.00381555
+0.00446394
+0.00580387
+0.00728491
+0.00814329
+0.00936082
+0.0107529
+0.0123444
+0.0140975
+0.0159316
+0.0178302
+0.0197859
+0.0216278
+0.0235277
+0.0254743
+0.0274577
+0.0294705
+0.0299276
+0.0297306
+0.0296944
+0.0298195
+0.0301028
+0.0305139
+0.0310487
+0.0316622
+0.0324122
+0.0332698
+0.0342379
+0.0353154
+0.0364928
+0.0377607
+0.0530433
+0.0518045
+0.0506303
+0.0495252
+0.0484939
+0.0475202
+0.0466102
+0.045747
+0.0449212
+0.0431358
+0.04097
+0.038807
+0.0366473
+0.0344915
+0.0323391
+0.0301883
+0.0280435
+0.0259052
+0.0237748
+0.0216561
+0.0195531
+0.0174718
+0.0154179
+0.0134072
+0.0114515
+0.00955411
+0.00780905
+0.00627244
+0.00505559
+0.0042531
+0.00265141
+0.000826675
+-0.000184606
+-0.00113917
+-0.00113457
+-0.000432096
+-0.000767421
+-0.000802682
+0.000791612
+-0.000313723
+0.000195049
+0.00201363
+0.00409849
+0.0062218
+0.00835095
+0.0104729
+0.0126184
+0.0147742
+0.0168695
+0.018297
+0.0170966
+0.0160775
+0.0152917
+0.0147914
+0.0145959
+0.0146736
+0.014971
+0.0154071
+0.0159111
+0.0143334
+0.0125498
+0.0107785
+0.00913466
+0.00767833
+0.0062552
+0.00526259
+0.00488088
+0.0043657
+0.00388588
+0.00392069
+0.00468033
+0.00605669
+0.00768225
+0.0084951
+0.00969897
+0.0112011
+0.0128821
+0.0146916
+0.0164382
+0.0182808
+0.020193
+0.0221568
+0.0241189
+0.0261023
+0.0280849
+0.0300404
+0.0297454
+0.0295981
+0.0295617
+0.0296874
+0.0299688
+0.0302984
+0.0307686
+0.031357
+0.0320845
+0.0329419
+0.0339193
+0.0349977
+0.036175
+0.0374437
+0.0528918
+0.0517033
+0.0505366
+0.0494294
+0.0483961
+0.0474407
+0.0465371
+0.0457207
+0.0449617
+0.042897
+0.0407186
+0.0385415
+0.036366
+0.0341925
+0.0320213
+0.0298529
+0.0276881
+0.0255277
+0.0233729
+0.0212203
+0.0190694
+0.0169287
+0.0148026
+0.0126985
+0.0106295
+0.00860078
+0.0066481
+0.00481505
+0.00326745
+0.00222082
+0.00147249
+0.00133214
+0.00178723
+0.000436682
+-0.000950488
+-0.00195058
+-0.00132058
+-0.0012954
+3.15513e-05
+-0.000509805
+0.000658788
+0.00257764
+0.00452233
+0.0065627
+0.00867377
+0.0107839
+0.0129097
+0.0150271
+0.017163
+0.0192021
+0.0188984
+0.0179803
+0.0172812
+0.0168401
+0.0166774
+0.0167795
+0.0171356
+0.0169414
+0.0150702
+0.0132971
+0.0116667
+0.0101518
+0.00838679
+0.0068316
+0.0056007
+0.0049467
+0.004967
+0.0051193
+0.00474812
+0.0048233
+0.00551531
+0.006773
+0.00835401
+0.00932197
+0.0104308
+0.0118422
+0.0134427
+0.0151912
+0.0170423
+0.0189651
+0.0208237
+0.0227331
+0.0246795
+0.026625
+0.0285986
+0.0300043
+0.029709
+0.0295236
+0.0294871
+0.0295691
+0.0297313
+0.0300528
+0.0305243
+0.0311174
+0.0318503
+0.0327138
+0.0336769
+0.0347104
+0.0358413
+0.0370672
+0.0527947
+0.0516334
+0.0505042
+0.0494126
+0.0483789
+0.0474239
+0.0465525
+0.0457432
+0.0449552
+0.0427693
+0.0405839
+0.0383992
+0.0362152
+0.034032
+0.0318499
+0.0296691
+0.0274898
+0.0253125
+0.0231376
+0.0209662
+0.0187991
+0.0166383
+0.0144864
+0.0123356
+0.0101932
+0.00805527
+0.00595468
+0.00391798
+0.00203218
+0.000426116
+-0.000511914
+-0.000475035
+0.000741127
+0.000785747
+-0.000627941
+-0.00237081
+-0.00217511
+-0.00193105
+-0.000841934
+-0.000782168
+0.00109082
+0.00300021
+0.00500105
+0.00677957
+0.00845517
+0.0103238
+0.0122992
+0.0143373
+0.0164004
+0.0184724
+0.0205689
+0.0199406
+0.0193125
+0.0189186
+0.0187737
+0.0188681
+0.0182233
+0.0163336
+0.0143836
+0.0125136
+0.0107509
+0.00902954
+0.00742926
+0.0061517
+0.00522176
+0.0044848
+0.00446554
+0.00470212
+0.00456369
+0.00489641
+0.00556659
+0.00679247
+0.00839601
+0.0100012
+0.0112104
+0.0126594
+0.0142796
+0.0159257
+0.0176696
+0.0194535
+0.0213133
+0.023231
+0.0251932
+0.027167
+0.029139
+0.0300282
+0.0297019
+0.0295114
+0.029416
+0.0294719
+0.0296346
+0.0299345
+0.0303814
+0.0309771
+0.031668
+0.032463
+0.033383
+0.0344181
+0.0355581
+0.0367934
+0.0526474
+0.051578
+0.0505156
+0.0494455
+0.0484508
+0.0475076
+0.0466377
+0.0458434
+0.0449402
+0.0427536
+0.0405674
+0.0383817
+0.0361966
+0.0340123
+0.0318288
+0.0296464
+0.0274653
+0.0252859
+0.0231086
+0.020934
+0.0187633
+0.0165978
+0.0144399
+0.0122936
+0.0101662
+0.00807278
+0.00594058
+0.00386103
+0.00189547
+7.76346e-05
+-0.00144261
+-0.00199481
+-0.00112925
+-0.00103379
+-0.00184622
+-0.00267166
+-0.00283387
+-0.00239429
+-0.00179151
+-0.000949938
+0.00121303
+0.0023823
+0.00369736
+0.00545608
+0.00743613
+0.00947934
+0.011547
+0.0136529
+0.0157817
+0.0179254
+0.019722
+0.0212188
+0.0213643
+0.0210088
+0.0204748
+0.0187531
+0.0171352
+0.0156573
+0.0140094
+0.0120476
+0.0100881
+0.00819707
+0.00645353
+0.00496908
+0.00408433
+0.00407428
+0.00486211
+0.00513158
+0.00507454
+0.00552951
+0.00618705
+0.00733696
+0.0088423
+0.0105896
+0.0117958
+0.0131821
+0.0146887
+0.0163043
+0.0180416
+0.0198688
+0.0217631
+0.0237086
+0.0256936
+0.0276841
+0.0296217
+0.0300402
+0.0296514
+0.0293982
+0.0292983
+0.0293619
+0.0295491
+0.0298499
+0.030298
+0.030836
+0.0314999
+0.0322894
+0.0332022
+0.034231
+0.0353563
+0.0365664
+0.0525402
+0.0514777
+0.0504787
+0.0495476
+0.048555
+0.0476426
+0.0468137
+0.046015
+0.0450319
+0.04285
+0.040669
+0.0384891
+0.0363104
+0.0341334
+0.0319582
+0.0297853
+0.0276151
+0.0254485
+0.0232864
+0.0211302
+0.0189819
+0.0168446
+0.0147229
+0.0126233
+0.0105449
+0.00851964
+0.00654318
+0.00462513
+0.00291037
+0.00159125
+0.000213834
+6.78004e-05
+-2.16403e-05
+-0.000285165
+-0.00102197
+-0.00226592
+-0.00276025
+-0.00309985
+-0.00275358
+-0.00156985
+-0.000247857
+0.000654883
+0.0025279
+0.00462378
+0.00675767
+0.00891266
+0.0110737
+0.0132432
+0.0154187
+0.0172124
+0.0187487
+0.0202997
+0.0219294
+0.0210929
+0.0194061
+0.0178267
+0.0162661
+0.0147063
+0.0133146
+0.0114436
+0.0096224
+0.00786513
+0.00602628
+0.00439222
+0.00335692
+0.0033371
+0.00425689
+0.00481041
+0.00495092
+0.00497407
+0.00578508
+0.00709126
+0.00875301
+0.0106029
+0.0123167
+0.0137164
+0.0153029
+0.0169438
+0.0186215
+0.0203968
+0.0222462
+0.0241528
+0.0261041
+0.0280906
+0.0301055
+0.0300848
+0.0296791
+0.0294175
+0.0293079
+0.0293098
+0.0294266
+0.0297017
+0.0300992
+0.0306237
+0.0312793
+0.0320715
+0.0329903
+0.0340256
+0.0351575
+0.0363741
+0.0524298
+0.0514631
+0.0504714
+0.049549
+0.0486961
+0.047839
+0.0470157
+0.0462792
+0.0452297
+0.0430578
+0.0408878
+0.0387203
+0.0365554
+0.0343939
+0.0322363
+0.0300834
+0.0279365
+0.0257969
+0.0236666
+0.0215457
+0.0194324
+0.0173383
+0.0152712
+0.013244
+0.0112758
+0.00939146
+0.00756377
+0.0059208
+0.00451978
+0.0032311
+0.00226847
+0.00219842
+0.00215813
+0.00174916
+0.00075389
+-0.000525673
+-0.00166631
+-0.002901
+-0.00384433
+-0.00279211
+-0.00204689
+-1.63638e-05
+0.00216878
+0.00435725
+0.0065458
+0.00873436
+0.010923
+0.0131121
+0.0148272
+0.0163879
+0.01797
+0.0195834
+0.0212597
+0.0201751
+0.0184053
+0.0167343
+0.0151959
+0.0138251
+0.0124536
+0.010742
+0.00878913
+0.00693925
+0.00533849
+0.00413369
+0.00370065
+0.0036678
+0.00440239
+0.00493013
+0.00510751
+0.00515268
+0.00595147
+0.00726458
+0.00891896
+0.0107436
+0.0126819
+0.0141524
+0.0156948
+0.0173771
+0.0191624
+0.0209516
+0.0227838
+0.0246745
+0.0266113
+0.0285848
+0.0305878
+0.0301138
+0.0296635
+0.0293701
+0.0292383
+0.0292342
+0.0293513
+0.0296271
+0.0300256
+0.0305514
+0.0312085
+0.0319956
+0.0328884
+0.0338994
+0.0350071
+0.0362054
+0.0523551
+0.0514075
+0.0505255
+0.0496144
+0.0487682
+0.0479954
+0.0473067
+0.0465748
+0.0455321
+0.0433753
+0.0412216
+0.0390712
+0.0369248
+0.0347833
+0.0326483
+0.0305211
+0.0284036
+0.0262981
+0.0242069
+0.0221318
+0.0200802
+0.0180613
+0.0160847
+0.014169
+0.0123451
+0.0105786
+0.00896975
+0.00754821
+0.00630932
+0.00509836
+0.00441799
+0.00436344
+0.00427483
+0.00372276
+0.00253618
+0.00127377
+5.79504e-05
+-0.00129939
+-0.00301653
+-0.00293704
+-0.00149765
+0.000552876
+0.00251986
+0.00460969
+0.00676141
+0.00881184
+0.0106901
+0.0124429
+0.0141933
+0.0157764
+0.0173865
+0.0190507
+0.0207477
+0.0194167
+0.0175942
+0.0158645
+0.0142363
+0.012773
+0.0115237
+0.0097859
+0.00824976
+0.00640507
+0.00459564
+0.00314275
+0.00261634
+0.00305968
+0.00346362
+0.00416623
+0.00466882
+0.00515798
+0.00627588
+0.00773882
+0.00947699
+0.0112545
+0.013139
+0.0148295
+0.0163202
+0.0179439
+0.0196779
+0.0214954
+0.023377
+0.0252614
+0.0271564
+0.0290929
+0.0307855
+0.0301711
+0.0297059
+0.029397
+0.0292428
+0.0292438
+0.0293849
+0.0296611
+0.0299931
+0.0304749
+0.0311039
+0.0318713
+0.0327675
+0.0337724
+0.0348551
+0.036037
+0.0523475
+0.0513998
+0.0505293
+0.0497402
+0.0489269
+0.0481683
+0.0474869
+0.046898
+0.0459226
+0.0437827
+0.0416481
+0.0395196
+0.0373984
+0.0352856
+0.0331829
+0.0310923
+0.0290166
+0.026959
+0.0249232
+0.0229132
+0.0209352
+0.0190034
+0.017134
+0.0153399
+0.0136308
+0.0120438
+0.0105915
+0.0093544
+0.00808486
+0.00707695
+0.00658753
+0.00654345
+0.00640906
+0.00558955
+0.00427372
+0.00311465
+0.00159855
+-0.000118004
+-0.00163077
+-0.0013419
+-0.000346482
+0.000920195
+0.00276556
+0.00467367
+0.00658016
+0.00843703
+0.0102471
+0.0120608
+0.0138235
+0.0154002
+0.0170333
+0.0187542
+0.0197374
+0.0188814
+0.0170016
+0.0152052
+0.0135256
+0.0119572
+0.0105292
+0.00909331
+0.00741505
+0.00588846
+0.00462954
+0.00317935
+0.00263876
+0.0029499
+0.00325849
+0.00400022
+0.00457422
+0.00515019
+0.00628088
+0.00785066
+0.00961615
+0.0115212
+0.0135044
+0.0154401
+0.0169109
+0.0184924
+0.0201807
+0.0219566
+0.0238018
+0.0257012
+0.0276438
+0.029621
+0.0309046
+0.0302926
+0.0298216
+0.029499
+0.0293369
+0.0293379
+0.0294649
+0.029633
+0.0299583
+0.0304101
+0.0310104
+0.0317509
+0.0326219
+0.0336134
+0.0346993
+0.0358796
+0.0524206
+0.0514742
+0.0506051
+0.0498171
+0.0491143
+0.0484281
+0.0477622
+0.0471768
+0.0464077
+0.0442913
+0.0421824
+0.0400823
+0.0379925
+0.0359147
+0.0338511
+0.0318045
+0.0297784
+0.0277754
+0.0257977
+0.0238573
+0.0219641
+0.0201313
+0.0183644
+0.0166807
+0.0151182
+0.0136519
+0.0123533
+0.0111121
+0.00998667
+0.00915061
+0.0087676
+0.00872876
+0.00856143
+0.00733562
+0.00617763
+0.00453708
+0.00283765
+0.00133766
+-0.000230193
+-0.00106934
+0.000830733
+0.00214377
+0.00333282
+0.00490595
+0.0066511
+0.0083669
+0.0101677
+0.0119855
+0.0135651
+0.0151659
+0.0168544
+0.0185553
+0.0189272
+0.0183428
+0.0165943
+0.0148033
+0.0130077
+0.0113069
+0.0097341
+0.00842809
+0.00688846
+0.00506626
+0.00342457
+0.0023138
+0.00233363
+0.00292707
+0.0035899
+0.00385463
+0.00474058
+0.00578951
+0.00691967
+0.0083705
+0.0100911
+0.0119271
+0.0138607
+0.0158614
+0.0177218
+0.0192367
+0.020872
+0.0226015
+0.0244036
+0.0262595
+0.0281636
+0.0301067
+0.0311592
+0.030548
+0.030074
+0.0297541
+0.0295767
+0.0294708
+0.0294663
+0.0296031
+0.0299002
+0.0303529
+0.0309543
+0.0316961
+0.0325686
+0.0335616
+0.0346491
+0.0358311
+0.052585
+0.0516416
+0.0507753
+0.0499901
+0.0492897
+0.048665
+0.0481142
+0.0475549
+0.0469901
+0.0449011
+0.0428223
+0.0407552
+0.0387017
+0.0366641
+0.0346451
+0.0326449
+0.0306684
+0.0287229
+0.0268152
+0.0249541
+0.0231507
+0.0214099
+0.0197429
+0.0181791
+0.0167262
+0.0153909
+0.01417
+0.0129704
+0.0119575
+0.0112687
+0.0109519
+0.0109162
+0.0104152
+0.00914851
+0.00753197
+0.00578008
+0.00406285
+0.00229239
+0.000910951
+0.000733896
+0.00132856
+0.00295955
+0.0045183
+0.00574199
+0.00724704
+0.00878465
+0.0104413
+0.0120879
+0.0136171
+0.0152387
+0.0169256
+0.0179121
+0.018302
+0.0176884
+0.0158833
+0.0141687
+0.0126012
+0.0109659
+0.00932667
+0.00759609
+0.00608802
+0.00482049
+0.00297333
+0.00164296
+0.00174396
+0.00234011
+0.00317834
+0.00352377
+0.00454546
+0.0057068
+0.00719287
+0.00895928
+0.0108436
+0.0126528
+0.0145131
+0.0164522
+0.0184326
+0.0201033
+0.0217222
+0.0234202
+0.0251653
+0.0269755
+0.0288385
+0.0307412
+0.0314819
+0.0308359
+0.0303346
+0.0299435
+0.0296582
+0.0295281
+0.0295181
+0.0296547
+0.0299512
+0.0304032
+0.0310036
+0.0317442
+0.0326037
+0.0335731
+0.0346539
+0.0358363
+0.0528397
+0.051901
+0.0510391
+0.050258
+0.0495614
+0.0489402
+0.0484006
+0.0479551
+0.0475317
+0.0456081
+0.043563
+0.0415328
+0.0395197
+0.0375221
+0.0355467
+0.033598
+0.0316809
+0.0298015
+0.0279676
+0.0261885
+0.0244687
+0.0228148
+0.0212508
+0.0197935
+0.0184437
+0.0172053
+0.0159731
+0.0148804
+0.0139939
+0.0134101
+0.0131383
+0.0131048
+0.0118472
+0.0100249
+0.00837416
+0.00681617
+0.00519601
+0.00377428
+0.00297357
+0.00287784
+0.00308486
+0.00402183
+0.00535789
+0.00687809
+0.00819471
+0.0094908
+0.0109546
+0.012432
+0.0138924
+0.0153882
+0.0168954
+0.0175173
+0.0178792
+0.0169378
+0.015352
+0.0136369
+0.0120002
+0.010566
+0.00907107
+0.00716742
+0.0054359
+0.00388114
+0.00266427
+0.0020678
+0.00256231
+0.00317141
+0.00389776
+0.00421098
+0.00509591
+0.00636235
+0.00774791
+0.00941071
+0.0112211
+0.0131477
+0.0151444
+0.0171837
+0.0191664
+0.021
+0.0225798
+0.0242313
+0.0259627
+0.027759
+0.0296086
+0.0315019
+0.0317431
+0.0311029
+0.0305206
+0.0300816
+0.0297927
+0.029637
+0.0296269
+0.029763
+0.0300585
+0.0305088
+0.0311072
+0.0318454
+0.0326918
+0.0336535
+0.0347271
+0.0358972
+0.0531836
+0.052251
+0.051395
+0.0506193
+0.0499278
+0.0493112
+0.0487757
+0.0483337
+0.0479877
+0.0464078
+0.0443987
+0.0424041
+0.0404299
+0.038479
+0.0365553
+0.0346634
+0.0328086
+0.0309977
+0.0292389
+0.0275362
+0.025893
+0.0243292
+0.0228582
+0.0214921
+0.020226
+0.0190064
+0.0178625
+0.0168485
+0.0160709
+0.0155652
+0.015326
+0.0145461
+0.0127297
+0.0110067
+0.00941127
+0.00797571
+0.0067509
+0.00566887
+0.0051008
+0.0049735
+0.00501274
+0.00555957
+0.00649387
+0.00771204
+0.00910159
+0.0102237
+0.0114088
+0.012748
+0.0141035
+0.0155124
+0.0168756
+0.0173837
+0.0177191
+0.016133
+0.0144576
+0.0129371
+0.0116108
+0.0101179
+0.00860565
+0.00722122
+0.00536098
+0.00365072
+0.00211253
+0.00160697
+0.00218671
+0.00298328
+0.00334993
+0.00387385
+0.00484469
+0.00631457
+0.00809038
+0.0100316
+0.0119483
+0.0138113
+0.015724
+0.0176966
+0.0197153
+0.0216531
+0.0234236
+0.0250443
+0.0267462
+0.028515
+0.0303389
+0.0322071
+0.0320651
+0.0313428
+0.0307599
+0.0303034
+0.0299907
+0.0298359
+0.0298415
+0.0299799
+0.0302733
+0.030713
+0.0312779
+0.0319579
+0.0327385
+0.0336439
+0.0346642
+0.0357897
+0.0535151
+0.0526468
+0.0518255
+0.0510564
+0.0503709
+0.0497725
+0.0492456
+0.0488078
+0.0484652
+0.0472896
+0.0453164
+0.043364
+0.0414355
+0.0395343
+0.0376646
+0.0358312
+0.0340402
+0.0322984
+0.0306099
+0.0289754
+0.0274121
+0.0259309
+0.0245531
+0.0232634
+0.0220578
+0.0208516
+0.0197766
+0.0188657
+0.0181747
+0.0177265
+0.0173762
+0.0155573
+0.0138189
+0.0122035
+0.0107206
+0.00944687
+0.00853193
+0.00771784
+0.00726348
+0.00699594
+0.00697617
+0.00729537
+0.00791527
+0.00891383
+0.0100179
+0.0110418
+0.0120824
+0.0133616
+0.0145439
+0.0158172
+0.0171381
+0.0174801
+0.0173753
+0.0155481
+0.013827
+0.0122222
+0.0108027
+0.00967554
+0.00819467
+0.00658641
+0.00515205
+0.00408079
+0.00271308
+0.00233329
+0.00278144
+0.00342092
+0.00375987
+0.00441451
+0.00535552
+0.00677265
+0.00845427
+0.0103273
+0.0123057
+0.0143459
+0.0163849
+0.0184188
+0.0203833
+0.0218756
+0.0234637
+0.0251364
+0.0268835
+0.0286917
+0.0305499
+0.0324305
+0.0322903
+0.0315732
+0.0309946
+0.0305416
+0.0302313
+0.0300778
+0.0300656
+0.0301996
+0.0304365
+0.0308174
+0.0313212
+0.0319674
+0.0327478
+0.0336529
+0.034673
+0.0357982
+0.0539213
+0.053053
+0.0522622
+0.0515502
+0.0509021
+0.05031
+0.0498033
+0.0493737
+0.049036
+0.0482517
+0.0463195
+0.0444113
+0.0425303
+0.0406803
+0.0388657
+0.0370918
+0.0353646
+0.0336881
+0.0320608
+0.030498
+0.029009
+0.0276136
+0.0263006
+0.0250858
+0.0238682
+0.0227497
+0.0217429
+0.0209179
+0.0202968
+0.0198921
+0.0184651
+0.016732
+0.0150984
+0.0135753
+0.0122544
+0.0111393
+0.0103417
+0.00979303
+0.00943909
+0.0090295
+0.00898239
+0.00912718
+0.00958891
+0.0103244
+0.0111549
+0.0120065
+0.012967
+0.0141302
+0.0152082
+0.0163924
+0.0176368
+0.0177523
+0.0171049
+0.0152453
+0.0134856
+0.0118215
+0.0103473
+0.00912732
+0.00798253
+0.00618705
+0.0044781
+0.00303634
+0.00234874
+0.00249212
+0.00291747
+0.00343533
+0.00385318
+0.00477221
+0.00590816
+0.00746778
+0.00925784
+0.0110309
+0.012904
+0.0148623
+0.0168779
+0.0185797
+0.020081
+0.0215957
+0.0232171
+0.0249129
+0.0266748
+0.0284961
+0.0303664
+0.0321424
+0.0326565
+0.0319272
+0.0313255
+0.0308561
+0.0305186
+0.0302999
+0.0302134
+0.0302855
+0.0305151
+0.0308987
+0.0314093
+0.0320538
+0.0328321
+0.033735
+0.0347333
+0.0358316
+0.0544036
+0.0535432
+0.0527597
+0.0520546
+0.0514186
+0.050869
+0.0504087
+0.0500118
+0.0496809
+0.0492925
+0.0474027
+0.0455399
+0.0437075
+0.0419095
+0.0401506
+0.038436
+0.0367695
+0.0351484
+0.0335862
+0.0320909
+0.0306792
+0.0293506
+0.0281104
+0.0269033
+0.0257378
+0.0246736
+0.0237486
+0.0229956
+0.0224321
+0.0214184
+0.0197016
+0.0180576
+0.0165168
+0.015137
+0.0139261
+0.0129468
+0.0122754
+0.0119049
+0.011555
+0.0111047
+0.0109154
+0.0109869
+0.0113468
+0.0118442
+0.0124546
+0.0131869
+0.0140521
+0.0151224
+0.0161347
+0.0171813
+0.0181656
+0.0182752
+0.0171129
+0.0152486
+0.0134405
+0.0117631
+0.0102582
+0.00878849
+0.00749957
+0.00626534
+0.00441149
+0.00275121
+0.00185783
+0.0019969
+0.00276151
+0.00358963
+0.004091
+0.00521742
+0.00652738
+0.00800983
+0.00976041
+0.0116105
+0.0135624
+0.015578
+0.0170433
+0.0185635
+0.0199953
+0.021516
+0.023143
+0.0248567
+0.0266404
+0.0284683
+0.0302432
+0.031925
+0.0330199
+0.0322902
+0.0316955
+0.0311547
+0.0307601
+0.030518
+0.0304322
+0.0305038
+0.0307076
+0.031059
+0.031559
+0.0322005
+0.0329752
+0.0338554
+0.0348441
+0.0359389
+0.0549089
+0.0541176
+0.0533426
+0.0526454
+0.0520166
+0.0514734
+0.0510185
+0.0506528
+0.0503629
+0.0501672
+0.0485607
+0.046744
+0.0449607
+0.0432149
+0.0415113
+0.0398534
+0.0382378
+0.036676
+0.0351756
+0.0337508
+0.0324097
+0.0311372
+0.0299513
+0.0287424
+0.0276409
+0.0266388
+0.0257843
+0.0250925
+0.0244077
+0.0227055
+0.0210567
+0.0195068
+0.0180899
+0.0168222
+0.0157185
+0.0148578
+0.0142813
+0.0139671
+0.0135978
+0.0131921
+0.0128899
+0.012904
+0.0131039
+0.0134999
+0.013906
+0.0145327
+0.0153038
+0.0162019
+0.017102
+0.018151
+0.0188555
+0.0189804
+0.0173557
+0.0155068
+0.0137327
+0.0120638
+0.0103927
+0.00883725
+0.00737499
+0.00576327
+0.00438451
+0.00355163
+0.00288411
+0.00305367
+0.00373359
+0.00417608
+0.00465255
+0.00548595
+0.00690051
+0.00858419
+0.0104292
+0.0123835
+0.0141615
+0.0156555
+0.0172392
+0.0187288
+0.0201487
+0.0216587
+0.0232757
+0.0249803
+0.0267558
+0.028364
+0.0299815
+0.031668
+0.0333087
+0.0325855
+0.0319963
+0.0315196
+0.0311095
+0.0308402
+0.030725
+0.0307659
+0.030962
+0.0313106
+0.0318066
+0.0324432
+0.0332115
+0.0340637
+0.0350189
+0.0360819
+0.0554154
+0.0546571
+0.053977
+0.0533137
+0.0526989
+0.0521628
+0.051714
+0.0513532
+0.0510674
+0.0508743
+0.0497882
+0.048018
+0.0462838
+0.0445898
+0.0429394
+0.0413285
+0.0397672
+0.0382626
+0.0368269
+0.0354685
+0.0341768
+0.0329726
+0.0317651
+0.0306279
+0.0295712
+0.0286368
+0.0278437
+0.0272043
+0.0256913
+0.0240809
+0.0225261
+0.0210844
+0.0197796
+0.0185935
+0.0176012
+0.016837
+0.0163281
+0.0160509
+0.0156805
+0.015191
+0.0149076
+0.0147728
+0.0149143
+0.0151327
+0.0154627
+0.0159728
+0.016643
+0.0173895
+0.0182452
+0.0192487
+0.0197376
+0.0192573
+0.0173728
+0.0155656
+0.0138661
+0.0123226
+0.0108717
+0.00930628
+0.00751869
+0.00581369
+0.00436408
+0.00339461
+0.00323042
+0.00349593
+0.0039705
+0.0043362
+0.00468875
+0.00560963
+0.0070277
+0.00874688
+0.0106408
+0.0126177
+0.0142991
+0.0157982
+0.0173192
+0.0189034
+0.0205346
+0.0220195
+0.0236118
+0.0252452
+0.0267019
+0.0282448
+0.029866
+0.0315294
+0.0332534
+0.033023
+0.0324417
+0.0319238
+0.0315094
+0.0312435
+0.0311298
+0.0311701
+0.0313543
+0.0316692
+0.0321225
+0.0327079
+0.033427
+0.0342672
+0.0352168
+0.036274
+0.0559763
+0.0552257
+0.0545528
+0.0539605
+0.0534181
+0.0529068
+0.0524821
+0.0521364
+0.0518549
+0.0516647
+0.0510801
+0.0493563
+0.0476708
+0.0460269
+0.0444201
+0.0428593
+0.0413512
+0.0399063
+0.0385319
+0.0372261
+0.0359905
+0.0348009
+0.0336237
+0.0325343
+0.0315355
+0.030661
+0.0299216
+0.0286172
+0.0270371
+0.0255473
+0.0241052
+0.0227638
+0.0215305
+0.0204462
+0.0195482
+0.0188631
+0.0184001
+0.0181544
+0.0177035
+0.0172156
+0.0168391
+0.0167038
+0.0167246
+0.0168203
+0.0171018
+0.0175233
+0.0180687
+0.0187423
+0.0195558
+0.0204952
+0.0207792
+0.0193338
+0.0174522
+0.0156512
+0.0139621
+0.0123951
+0.010971
+0.00945994
+0.00794019
+0.00648106
+0.00506994
+0.00408534
+0.00382345
+0.00404888
+0.00454785
+0.00492899
+0.00538785
+0.00627749
+0.00761846
+0.00922824
+0.0110399
+0.012969
+0.014725
+0.0161827
+0.0176724
+0.0192622
+0.0208547
+0.0223267
+0.0237356
+0.0251958
+0.0267075
+0.0282496
+0.0298554
+0.0315194
+0.033216
+0.0335065
+0.032826
+0.0322802
+0.0318745
+0.0316117
+0.0314995
+0.0315394
+0.0317308
+0.0320468
+0.0324862
+0.0330652
+0.0337766
+0.0345903
+0.0355052
+0.0365287
+0.0565343
+0.0558745
+0.0552095
+0.0546243
+0.0541215
+0.0536876
+0.0532691
+0.052938
+0.052696
+0.0525347
+0.0524318
+0.0507539
+0.0491158
+0.0475127
+0.0459523
+0.0444411
+0.0429885
+0.0416005
+0.0402828
+0.0390211
+0.0378442
+0.0366366
+0.0355203
+0.034469
+0.033528
+0.0327067
+0.0315759
+0.0299917
+0.028488
+0.0270782
+0.0257739
+0.0245072
+0.0233557
+0.0223602
+0.0215421
+0.0209223
+0.0204967
+0.0202765
+0.019726
+0.0191715
+0.0188275
+0.0186798
+0.0185344
+0.0185936
+0.0188007
+0.0191886
+0.0196209
+0.0202285
+0.0209385
+0.0217639
+0.0214452
+0.0196019
+0.0177487
+0.0159812
+0.0143305
+0.0127918
+0.0113277
+0.00952862
+0.00783679
+0.00637358
+0.00530591
+0.00482491
+0.00503965
+0.00534805
+0.0057721
+0.00617707
+0.00660023
+0.00743852
+0.00865918
+0.0101688
+0.0118374
+0.0136543
+0.0154516
+0.0167944
+0.0182349
+0.0197799
+0.0211917
+0.0225073
+0.0238849
+0.0253365
+0.0268663
+0.0283998
+0.030001
+0.0316363
+0.0333228
+0.0339694
+0.0332985
+0.0327605
+0.0323574
+0.0320986
+0.0319881
+0.0320274
+0.0322159
+0.0325157
+0.0329372
+0.0334789
+0.0341434
+0.0349328
+0.0358254
+0.0368148
+0.0571385
+0.0565015
+0.055943
+0.0553669
+0.054871
+0.0544458
+0.0541018
+0.0538076
+0.0535695
+0.0534203
+0.0533607
+0.0522057
+0.0506059
+0.0490458
+0.0475321
+0.0460727
+0.0446732
+0.0433393
+0.0420614
+0.0408547
+0.0396626
+0.0385094
+0.0374291
+0.0364328
+0.0355437
+0.0345591
+0.0329727
+0.0314589
+0.0300288
+0.0286947
+0.0274709
+0.0263084
+0.0252392
+0.0243208
+0.0235709
+0.0230059
+0.0226111
+0.0223843
+0.021676
+0.0211512
+0.0208402
+0.0205392
+0.0203941
+0.0204299
+0.0205818
+0.0208682
+0.021256
+0.0218056
+0.0223951
+0.0231677
+0.0215316
+0.0197515
+0.0180565
+0.0164374
+0.0149094
+0.0133474
+0.0116056
+0.00981625
+0.00815287
+0.00671004
+0.00565658
+0.00518143
+0.00540905
+0.00625447
+0.00701379
+0.00772697
+0.00818291
+0.00891425
+0.0100348
+0.0113903
+0.0129602
+0.0146384
+0.0164066
+0.0176518
+0.0190319
+0.0204425
+0.0215822
+0.0228755
+0.0242321
+0.025664
+0.0271972
+0.0287057
+0.0302782
+0.0318915
+0.0335693
+0.0345653
+0.0339054
+0.0333727
+0.0329766
+0.0327226
+0.0326141
+0.0326526
+0.0327663
+0.0330116
+0.0333992
+0.033924
+0.0345635
+0.0352868
+0.036107
+0.0370388
+0.0578195
+0.05719
+0.0566383
+0.0561185
+0.0556626
+0.0552777
+0.054939
+0.0546859
+0.0545013
+0.0543545
+0.0542957
+0.0536997
+0.05214
+0.0506239
+0.0491587
+0.0477492
+0.0464002
+0.0451097
+0.0438774
+0.042699
+0.0415145
+0.0404098
+0.039367
+0.038421
+0.0375609
+0.0359734
+0.0344522
+0.0330064
+0.0316462
+0.0303833
+0.0292302
+0.0281648
+0.0271688
+0.0263178
+0.0256264
+0.0251077
+0.0247389
+0.0243176
+0.0236489
+0.0231688
+0.0227885
+0.0224538
+0.0223037
+0.0222788
+0.0224182
+0.0226263
+0.0229652
+0.0233933
+0.0239468
+0.0236644
+0.0218385
+0.0200856
+0.0184196
+0.0168338
+0.015397
+0.0140488
+0.012207
+0.0104509
+0.00887433
+0.00753191
+0.00656321
+0.00616066
+0.00636636
+0.0071347
+0.00790653
+0.00843824
+0.00914383
+0.0100595
+0.0112491
+0.0126921
+0.0142686
+0.0158317
+0.0175115
+0.0187164
+0.0200304
+0.0210761
+0.0221833
+0.0234433
+0.0247689
+0.0261715
+0.0276766
+0.0291606
+0.0306803
+0.0322725
+0.0339314
+0.0352287
+0.0345771
+0.0340543
+0.0336643
+0.0333841
+0.0332219
+0.033198
+0.0332405
+0.0334269
+0.0337546
+0.0342198
+0.0348168
+0.0355272
+0.0363419
+0.0372678
+0.0584846
+0.0578629
+0.0573183
+0.0568519
+0.0564301
+0.0560624
+0.0557784
+0.0555793
+0.0554373
+0.0553576
+0.0552999
+0.0552346
+0.0537165
+0.0522462
+0.0508278
+0.0494658
+0.0481643
+0.0469099
+0.0457261
+0.0445324
+0.043398
+0.0423247
+0.0413303
+0.0404302
+0.0389894
+0.0374626
+0.0360043
+0.0346234
+0.0333293
+0.0321326
+0.0310445
+0.0300638
+0.0291353
+0.0283435
+0.0277026
+0.0272201
+0.0268767
+0.0262748
+0.0256572
+0.0252124
+0.0247222
+0.0244021
+0.024236
+0.0241849
+0.0242815
+0.0244212
+0.0246731
+0.025054
+0.0255863
+0.0241435
+0.0223568
+0.020648
+0.0190241
+0.0174931
+0.0161152
+0.0148223
+0.0130503
+0.0114203
+0.0099789
+0.00878224
+0.0079135
+0.00755946
+0.00773165
+0.00844009
+0.00917483
+0.00960486
+0.0102396
+0.0110563
+0.0121929
+0.013538
+0.0150805
+0.016768
+0.0183852
+0.0197456
+0.0208514
+0.0217978
+0.0228908
+0.0241114
+0.0253856
+0.0267708
+0.0282279
+0.0297011
+0.0312302
+0.0327957
+0.0344294
+0.0358777
+0.0352508
+0.0347222
+0.0343145
+0.0339393
+0.0336972
+0.0335965
+0.0336385
+0.0338227
+0.0341467
+0.0346065
+0.035197
+0.0358998
+0.0367063
+0.0376185
+0.0592025
+0.0585884
+0.0580506
+0.0575911
+0.0571987
+0.0568849
+0.0566291
+0.056433
+0.0563137
+0.0562708
+0.0563132
+0.0563887
+0.0553348
+0.0539087
+0.0525352
+0.0512186
+0.0499505
+0.0487421
+0.0475606
+0.0463968
+0.0453011
+0.0442652
+0.0433153
+0.0420174
+0.0404862
+0.0390179
+0.03762
+0.0363006
+0.0350684
+0.0339331
+0.0329047
+0.0319751
+0.0311318
+0.030392
+0.0297953
+0.0293408
+0.0289941
+0.0282663
+0.0276931
+0.0271499
+0.0266898
+0.0263593
+0.0261637
+0.0260992
+0.0261474
+0.0262361
+0.0264351
+0.026791
+0.0265443
+0.0247794
+0.0230723
+0.021416
+0.0198283
+0.0183645
+0.0170571
+0.0158224
+0.014176
+0.0126758
+0.0113414
+0.0102917
+0.00956104
+0.00927014
+0.00941108
+0.0100013
+0.0106954
+0.0110628
+0.0116403
+0.0123649
+0.0133911
+0.0146576
+0.0161
+0.0176904
+0.0193451
+0.0207923
+0.0217551
+0.0226544
+0.0237079
+0.0248881
+0.0261245
+0.0274589
+0.0288901
+0.0303526
+0.0318808
+0.0334487
+0.0350521
+0.036427
+0.0357713
+0.0352398
+0.0348234
+0.0344687
+0.0342304
+0.0341313
+0.0341726
+0.0343539
+0.0346729
+0.0351087
+0.0356388
+0.0362937
+0.0370478
+0.0379076
+0.0599919
+0.0593859
+0.0588554
+0.0584022
+0.0580153
+0.057706
+0.0574786
+0.0573092
+0.0571995
+0.0571735
+0.057231
+0.0573578
+0.0569914
+0.0556078
+0.0542773
+0.0529977
+0.0517678
+0.0505972
+0.0494078
+0.0482886
+0.0472209
+0.046228
+0.0450548
+0.0435202
+0.0420438
+0.0406319
+0.0392915
+0.03803
+0.0368558
+0.0357772
+0.0348033
+0.0339203
+0.0331528
+0.0324591
+0.031901
+0.031471
+0.0309657
+0.0302853
+0.0296994
+0.0291156
+0.0286585
+0.0283408
+0.028111
+0.0280491
+0.028014
+0.0280787
+0.0282572
+0.0285904
+0.0269474
+0.0252107
+0.0235497
+0.0219706
+0.0204889
+0.0191437
+0.0179569
+0.0169217
+0.0154841
+0.0141182
+0.012927
+0.0120128
+0.01136
+0.0108797
+0.0107817
+0.0110862
+0.0116722
+0.0125111
+0.0130029
+0.0137161
+0.0146608
+0.0158537
+0.0172436
+0.0187733
+0.0204113
+0.0218663
+0.0228245
+0.0236721
+0.024671
+0.0257828
+0.026984
+0.0282768
+0.0296699
+0.0310982
+0.0326089
+0.0341769
+0.035778
+0.0370241
+0.0363494
+0.0357962
+0.0353009
+0.0349311
+0.034696
+0.0345982
+0.0346332
+0.0347853
+0.035074
+0.0354957
+0.0360265
+0.0366491
+0.0373899
+0.0382421
+0.0608499
+0.0602526
+0.0597297
+0.0592832
+0.0589021
+0.0585975
+0.0583735
+0.0582312
+0.0581466
+0.0581211
+0.0581781
+0.0583169
+0.0585234
+0.0573403
+0.0560506
+0.0548016
+0.053613
+0.052429
+0.0512821
+0.0501938
+0.0491634
+0.0481001
+0.0465628
+0.0450795
+0.0436558
+0.0422978
+0.0410118
+0.039805
+0.0386846
+0.0376585
+0.0367336
+0.0358937
+0.0351681
+0.0345414
+0.0340176
+0.033609
+0.032965
+0.0323267
+0.0316537
+0.0310883
+0.0306574
+0.0303066
+0.0300918
+0.029995
+0.0299143
+0.0299604
+0.0301284
+0.0292597
+0.0274944
+0.0257946
+0.0241738
+0.0226491
+0.0212385
+0.0199439
+0.0188077
+0.0176238
+0.0161561
+0.0148673
+0.0138076
+0.0129745
+0.0124694
+0.0122331
+0.012146
+0.0124171
+0.0129494
+0.0137103
+0.0142347
+0.0148891
+0.0158091
+0.0169214
+0.01823
+0.0196832
+0.0212512
+0.0229216
+0.0239374
+0.0247403
+0.0256977
+0.0267667
+0.0279255
+0.029203
+0.0305583
+0.0319768
+0.0334478
+0.0349942
+0.0365907
+0.0376137
+0.0368786
+0.036261
+0.0357672
+0.0354023
+0.0351703
+0.0350681
+0.0350818
+0.0352321
+0.0355171
+0.0359336
+0.0364772
+0.0371245
+0.037856
+0.0386902
+0.0617737
+0.0611854
+0.0606706
+0.0602311
+0.059856
+0.0595562
+0.0593359
+0.0591959
+0.0591367
+0.0591288
+0.0591848
+0.0593217
+0.059539
+0.0591031
+0.0578422
+0.0566327
+0.0554587
+0.0542874
+0.0531807
+0.0521176
+0.0511259
+0.0496121
+0.0481232
+0.0466895
+0.0453165
+0.0440097
+0.0427752
+0.0416195
+0.0405493
+0.0395716
+0.0386876
+0.0378877
+0.0371954
+0.0366212
+0.0361429
+0.0357124
+0.0349872
+0.0342797
+0.0336281
+0.0330855
+0.0326488
+0.0323013
+0.0320999
+0.0319289
+0.0318486
+0.0318816
+0.0317063
+0.029925
+0.0282015
+0.0265469
+0.024975
+0.0235023
+0.0221435
+0.0209134
+0.0197978
+0.018246
+0.0168325
+0.0155997
+0.0145933
+0.0138077
+0.0133342
+0.0132116
+0.0133916
+0.0139069
+0.0144447
+0.015133
+0.015664
+0.0162611
+0.0171196
+0.0181753
+0.0193996
+0.0207831
+0.0222756
+0.0238744
+0.0251658
+0.0259497
+0.0268641
+0.0278883
+0.0290023
+0.0302343
+0.0315567
+0.0329649
+0.034406
+0.0359111
+0.0374839
+0.038132
+0.0374104
+0.0368018
+0.0363153
+0.035956
+0.0357276
+0.0356327
+0.0356597
+0.0358075
+0.036088
+0.036498
+0.0370333
+0.0375892
+0.0382148
+0.0389536
+0.0627604
+0.0621814
+0.0616749
+0.0612426
+0.0608738
+0.0605791
+0.0603625
+0.0602248
+0.0601667
+0.0601883
+0.0602499
+0.0603844
+0.0605979
+0.0608885
+0.0596604
+0.0584885
+0.0573026
+0.0561698
+0.0550876
+0.0540616
+0.0526672
+0.0511734
+0.0497311
+0.0483452
+0.0470205
+0.0457624
+0.0445765
+0.0434687
+0.0424452
+0.0415121
+0.0406614
+0.039897
+0.0392402
+0.0386964
+0.0382704
+0.0377145
+0.0369703
+0.0362548
+0.0356176
+0.035088
+0.0346472
+0.03432
+0.0340992
+0.0338856
+0.0338037
+0.0338356
+0.0324683
+0.0307313
+0.0290556
+0.0274525
+0.0259346
+0.0245149
+0.0232154
+0.0220452
+0.020588
+0.0191005
+0.0177552
+0.0165911
+0.0156265
+0.0148908
+0.0144528
+0.0143378
+0.0144946
+0.0149725
+0.0157148
+0.0165115
+0.0171739
+0.0177977
+0.0185854
+0.0195711
+0.0207189
+0.0220199
+0.0234536
+0.0249835
+0.0265186
+0.0272652
+0.0281529
+0.0291287
+0.0301999
+0.0313849
+0.0326608
+0.0339973
+0.0351734
+0.0364434
+0.0377889
+0.0387643
+0.0380547
+0.0374565
+0.0369787
+0.0366258
+0.0364016
+0.0363085
+0.0363473
+0.0364933
+0.036733
+0.0370725
+0.0374719
+0.0379732
+0.0385925
+0.0393243
+0.0637662
+0.0632112
+0.0627278
+0.0623148
+0.0619523
+0.0616628
+0.06145
+0.0613148
+0.0612577
+0.061279
+0.0613747
+0.0615068
+0.0617164
+0.0620027
+0.0615029
+0.0603262
+0.0591702
+0.058071
+0.0570146
+0.0557271
+0.054229
+0.0527793
+0.0513822
+0.050042
+0.0487635
+0.0475515
+0.0464113
+0.0453484
+0.0443682
+0.0434765
+0.0426526
+0.0419245
+0.0412999
+0.0407836
+0.0403797
+0.0397204
+0.0389357
+0.0382332
+0.0376213
+0.0370912
+0.0366676
+0.0363585
+0.0360653
+0.0358635
+0.0357856
+0.0350969
+0.0333528
+0.0316643
+0.0300407
+0.0284932
+0.0270337
+0.0256748
+0.0244371
+0.0231076
+0.0215725
+0.0201578
+0.018888
+0.017786
+0.0168609
+0.0161815
+0.0157793
+0.0156745
+0.0158185
+0.0162575
+0.0169488
+0.0178212
+0.0184405
+0.019245
+0.0201829
+0.0210941
+0.022175
+0.0233967
+0.0247508
+0.0262183
+0.0268837
+0.0273043
+0.0278694
+0.0285494
+0.0293238
+0.0302094
+0.0312212
+0.0323499
+0.0335838
+0.0349094
+0.0362783
+0.0373457
+0.0385082
+0.0382225
+0.0377436
+0.0373731
+0.0371284
+0.0370008
+0.0369637
+0.0370563
+0.0372555
+0.0375733
+0.037947
+0.0384421
+0.039054
+0.0397772
+0.0648277
+0.0642819
+0.0638066
+0.0634035
+0.063074
+0.0628017
+0.0625928
+0.06246
+0.062404
+0.0624248
+0.0625224
+0.0626841
+0.0628913
+0.0631723
+0.0633569
+0.0621801
+0.0610592
+0.0599821
+0.0587909
+0.0572892
+0.055833
+0.0544261
+0.0530724
+0.0517759
+0.0505413
+0.0493729
+0.0482758
+0.0472548
+0.046315
+0.0454523
+0.0446624
+0.0439677
+0.0433725
+0.0428812
+0.0424972
+0.0416712
+0.0409118
+0.0402331
+0.0396199
+0.039113
+0.0387065
+0.0383707
+0.038056
+0.0378648
+0.0377895
+0.03605
+0.0343544
+0.0327176
+0.031149
+0.0296593
+0.0282602
+0.0269632
+0.0256399
+0.0241882
+0.0227263
+0.021388
+0.0201889
+0.0191297
+0.0182728
+0.0176478
+0.0172798
+0.0171791
+0.0173092
+0.0177114
+0.0183443
+0.0191818
+0.0198649
+0.0206201
+0.0215532
+0.0226292
+0.0237331
+0.0244307
+0.0247866
+0.0249095
+0.0251914
+0.0255925
+0.0260882
+0.0267546
+0.0275744
+0.0285115
+0.0295814
+0.0307703
+0.0320479
+0.033409
+0.0348035
+0.0359147
+0.037122
+0.0384165
+0.0384629
+0.0380886
+0.0377995
+0.0376358
+0.0375994
+0.0376607
+0.0377826
+0.0380283
+0.0383976
+0.0388869
+0.0394919
+0.0402073
+0.065945
+0.0654085
+0.0649414
+0.0645454
+0.0642046
+0.0639253
+0.06372
+0.0635897
+0.0635346
+0.0635551
+0.063651
+0.063822
+0.0640674
+0.0643825
+0.0647438
+0.0640553
+0.0629623
+0.0618581
+0.0603532
+0.0588913
+0.0574758
+0.0561101
+0.054798
+0.0535433
+0.0523504
+0.0512233
+0.0501667
+0.049185
+0.0482828
+0.0474447
+0.0466886
+0.0460244
+0.0454562
+0.0449876
+0.0444543
+0.0436306
+0.042901
+0.0422245
+0.0416342
+0.0411521
+0.0407612
+0.0403674
+0.0400676
+0.039886
+0.0388072
+0.0371082
+0.0354632
+0.0338592
+0.0323152
+0.0308495
+0.0294407
+0.0280352
+0.0266333
+0.0253434
+0.0240061
+0.0227444
+0.0215972
+0.0206105
+0.0198178
+0.019243
+0.0189061
+0.0188141
+0.018933
+0.0193014
+0.0198837
+0.0206589
+0.0214035
+0.0218237
+0.0217657
+0.0219191
+0.0222592
+0.0227669
+0.0231311
+0.0232627
+0.0234369
+0.0237762
+0.0243089
+0.0250227
+0.0258885
+0.0268804
+0.0280053
+0.0292266
+0.0305563
+0.0319809
+0.0334072
+0.0345634
+0.0358163
+0.0371563
+0.0385741
+0.0388196
+0.0385181
+0.0382962
+0.0381875
+0.0381945
+0.0383125
+0.0385548
+0.038899
+0.0393585
+0.0399331
+0.0406179
+0.0671081
+0.0665801
+0.066116
+0.065713
+0.0653775
+0.0651032
+0.0649017
+0.0647737
+0.0647197
+0.0647398
+0.0648339
+0.0650018
+0.0652428
+0.0655562
+0.065941
+0.0659499
+0.0648773
+0.0634206
+0.0619536
+0.0605304
+0.0591541
+0.0578281
+0.0565558
+0.055341
+0.0541876
+0.0530996
+0.0520811
+0.0511361
+0.0502611
+0.0494539
+0.048729
+0.048093
+0.0475495
+0.0471017
+0.0463969
+0.0456064
+0.0448918
+0.0442287
+0.0436655
+0.0432032
+0.0427783
+0.0423825
+0.042097
+0.0413539
+0.0396196
+0.037931
+0.0362958
+0.0347219
+0.033218
+0.0317939
+0.0304484
+0.0291119
+0.0277643
+0.0265238
+0.0253992
+0.024204
+0.0231277
+0.0222091
+0.0214754
+0.0209462
+0.0206371
+0.0205529
+0.0206617
+0.0209998
+0.0215363
+0.0209162
+0.0204574
+0.0201956
+0.0201361
+0.0203017
+0.0206529
+0.0211991
+0.0215159
+0.0214852
+0.0216614
+0.022028
+0.022602
+0.0233608
+0.0242573
+0.0253025
+0.0264672
+0.0277563
+0.0291531
+0.0306431
+0.0320999
+0.0333014
+0.0346001
+0.0359854
+0.0374476
+0.0389782
+0.0390476
+0.0387936
+0.0386623
+0.0386549
+0.0387714
+0.0390109
+0.0393694
+0.0398238
+0.0403918
+0.0410689
+0.0683156
+0.0677912
+0.0673269
+0.0669311
+0.0666018
+0.0663326
+0.0661348
+0.0660092
+0.0659562
+0.0659759
+0.0660683
+0.066233
+0.0664696
+0.0667773
+0.067155
+0.0676017
+0.0664908
+0.0650193
+0.0635892
+0.0622034
+0.060865
+0.059577
+0.0583429
+0.0571661
+0.0560503
+0.0549992
+0.0540164
+0.0531034
+0.0522539
+0.0514779
+0.0507819
+0.0501719
+0.0496512
+0.0492028
+0.048359
+0.0476011
+0.0468844
+0.0462498
+0.0457115
+0.0452416
+0.0447921
+0.0444142
+0.0439229
+0.0421789
+0.0404783
+0.0388268
+0.037231
+0.0356984
+0.0342373
+0.0328575
+0.0315515
+0.03026
+0.0290027
+0.0277516
+0.026592
+0.0255679
+0.0246961
+0.0239016
+0.0232215
+0.022733
+0.0224485
+0.0218956
+0.0214422
+0.0208698
+0.0199885
+0.0192757
+0.0187926
+0.0185573
+0.0185276
+0.0187287
+0.0191628
+0.0197502
+0.0198106
+0.0197772
+0.0199576
+0.0203549
+0.0209747
+0.0217594
+0.0226931
+0.0237839
+0.0250195
+0.0263793
+0.0278454
+0.0293946
+0.0308927
+0.0321394
+0.0334832
+0.0349128
+0.0364182
+0.0379902
+0.0396149
+0.0393646
+0.0392352
+0.0392279
+0.0393428
+0.0395788
+0.0399328
+0.0403809
+0.0409412
+0.0416093
+0.0695641
+0.0690423
+0.0685864
+0.068198
+0.0678748
+0.0676106
+0.0674166
+0.0672934
+0.0672414
+0.0672607
+0.0673513
+0.067513
+0.0677451
+0.068047
+0.0684177
+0.0688547
+0.0680879
+0.0666517
+0.0652574
+0.0639078
+0.0626058
+0.0613544
+0.0601567
+0.0590161
+0.057936
+0.0569196
+0.0559706
+0.0550805
+0.0542619
+0.0535151
+0.0528459
+0.05226
+0.0517603
+0.0511511
+0.0503399
+0.0495914
+0.0488938
+0.0482857
+0.0477703
+0.0472604
+0.0468218
+0.0464604
+0.0448061
+0.0430978
+0.0414349
+0.0398231
+0.0382689
+0.0367795
+0.0353632
+0.0340095
+0.0326852
+0.0313875
+0.0300802
+0.0288732
+0.0277606
+0.0267812
+0.0254938
+0.0241808
+0.0230019
+0.0219681
+0.0211095
+0.0204505
+0.0199723
+0.0193771
+0.0184265
+0.0176632
+0.0171359
+0.0168467
+0.0168155
+0.0170677
+0.0175489
+0.0182715
+0.0182095
+0.0181712
+0.018347
+0.0187784
+0.0194052
+0.0202185
+0.0212106
+0.0223739
+0.0236831
+0.0251154
+0.0266379
+0.0282418
+0.0297979
+0.0310862
+0.0324696
+0.0339381
+0.0354812
+0.0370895
+0.038755
+0.0400475
+0.0399203
+0.0399131
+0.040026
+0.040258
+0.0406061
+0.0410469
+0.0415981
+0.0422559
+0.0707872
+0.0703393
+0.0698919
+0.0695108
+0.0691886
+0.0689294
+0.0687391
+0.0686182
+0.0685672
+0.0685861
+0.068675
+0.0688334
+0.0690611
+0.0693572
+0.0697209
+0.0701473
+0.0697173
+0.0683153
+0.0669557
+0.065641
+0.0643741
+0.0631577
+0.0619949
+0.0608888
+0.0598424
+0.058859
+0.0579349
+0.0570731
+0.0562835
+0.0555639
+0.0549197
+0.0543562
+0.0538759
+0.0531182
+0.0523375
+0.0515885
+0.0509183
+0.0503346
+0.0497903
+0.0492939
+0.0488653
+0.04749
+0.0457772
+0.0441065
+0.0424831
+0.0409126
+0.0394014
+0.0379561
+0.0365649
+0.0352161
+0.0338878
+0.0325336
+0.0308159
+0.0291084
+0.0274696
+0.0259124
+0.0244296
+0.0230561
+0.0218164
+0.0207347
+0.0198232
+0.0191199
+0.0186313
+0.0179594
+0.0169349
+0.0161165
+0.0155354
+0.0152277
+0.0151935
+0.0154725
+0.0160015
+0.016789
+0.0167279
+0.0166682
+0.0168597
+0.0172864
+0.0179325
+0.0187963
+0.0198596
+0.0210974
+0.0224809
+0.0239647
+0.0255486
+0.0272168
+0.028798
+0.0301272
+0.0315527
+0.0330619
+0.0346441
+0.0362895
+0.0379901
+0.0397324
+0.0407119
+0.0407048
+0.0408155
+0.041043
+0.0413846
+0.0418171
+0.0423584
+0.0430045
+0.0717969
+0.0714604
+0.0711899
+0.070859
+0.070538
+0.0702838
+0.0700972
+0.0699786
+0.0699286
+0.0699472
+0.0700343
+0.0701897
+0.0704129
+0.0707034
+0.0710602
+0.0714824
+0.0713767
+0.0700079
+0.0686818
+0.0674008
+0.0661676
+0.0649848
+0.0638553
+0.062782
+0.0617677
+0.0608131
+0.0599127
+0.0590798
+0.0583174
+0.0576231
+0.0570022
+0.0564595
+0.0559301
+0.0551022
+0.0543261
+0.0536007
+0.0529559
+0.0523786
+0.0518158
+0.0513226
+0.0502204
+0.0485063
+0.0468306
+0.0451989
+0.0436162
+0.042088
+0.0406192
+0.0391986
+0.0375352
+0.0356216
+0.0337309
+0.0318787
+0.030072
+0.0283195
+0.026632
+0.0250227
+0.0235074
+0.0220918
+0.0207948
+0.019657
+0.0186984
+0.0179511
+0.0174239
+0.0166551
+0.0155456
+0.014655
+0.0140138
+0.0136933
+0.0136553
+0.0139652
+0.0145537
+0.0154144
+0.0154052
+0.0152782
+0.0154269
+0.0158728
+0.0165851
+0.0175105
+0.0186473
+0.0199605
+0.0214063
+0.0229577
+0.0246066
+0.0263345
+0.0279324
+0.0293009
+0.0307647
+0.0323108
+0.0339265
+0.0355948
+0.0373169
+0.0390859
+0.0408957
+0.0415969
+0.0417053
+0.041928
+0.042219
+0.0425992
+0.0430876
+0.0436805
+0.0728585
+0.072527
+0.0722604
+0.0720595
+0.0719247
+0.0716796
+0.0714966
+0.0713804
+0.0713313
+0.0713495
+0.0714349
+0.0715873
+0.0718062
+0.072091
+0.072441
+0.0728553
+0.0730641
+0.0717276
+0.0704338
+0.0691853
+0.0679844
+0.0668338
+0.0657361
+0.0646939
+0.0637101
+0.0627767
+0.0619049
+0.0610991
+0.0603622
+0.0596918
+0.0590926
+0.0585692
+0.0579007
+0.0570993
+0.0563257
+0.0556264
+0.0550054
+0.0543819
+0.0538387
+0.0529912
+0.0512761
+0.0495985
+0.047961
+0.0463691
+0.0448277
+0.0430159
+0.0410083
+0.0390203
+0.0370553
+0.0351137
+0.0331941
+0.0313101
+0.0294686
+0.0276779
+0.0259487
+0.0242941
+0.0227304
+0.0212776
+0.0199599
+0.018774
+0.0177678
+0.0169797
+0.0164087
+0.0155209
+0.0143239
+0.0133543
+0.0126541
+0.0123021
+0.0122649
+0.0126089
+0.0132618
+0.0141927
+0.0141456
+0.0139876
+0.0141499
+0.0146388
+0.0153979
+0.016389
+0.0175983
+0.0189704
+0.0204815
+0.0221068
+0.0238228
+0.0256097
+0.0272087
+0.0286162
+0.0301089
+0.0316751
+0.0333117
+0.035009
+0.0367585
+0.0385531
+0.0403869
+0.0422546
+0.0424953
+0.0426486
+0.0429134
+0.0432875
+0.0437682
+0.0443521
+0.0739698
+0.0736432
+0.0733807
+0.0731829
+0.0730463
+0.0729664
+0.0729349
+0.0728211
+0.0727729
+0.0727908
+0.0728745
+0.0730239
+0.0732385
+0.0735178
+0.073861
+0.0742673
+0.0747336
+0.0734719
+0.0722095
+0.0709922
+0.0698224
+0.0687026
+0.0676352
+0.0666227
+0.065662
+0.0647549
+0.06391
+0.0631299
+0.0624169
+0.0617688
+0.0611899
+0.0606847
+0.0598865
+0.0590876
+0.0583391
+0.0576641
+0.057001
+0.0563979
+0.0557965
+0.0540816
+0.0524022
+0.0507619
+0.0488654
+0.0468011
+0.0447488
+0.0427103
+0.0406876
+0.0386833
+0.0367002
+0.0347367
+0.0327951
+0.0308868
+0.0290184
+0.0271981
+0.0254364
+0.0237461
+0.0221437
+0.0206496
+0.0192891
+0.018051
+0.0169966
+0.0161718
+0.0155878
+0.0145896
+0.0133091
+0.0122591
+0.0114963
+0.011108
+0.0110804
+0.0114444
+0.0121583
+0.013176
+0.0130692
+0.0128752
+0.0130514
+0.0135832
+0.0143959
+0.0154513
+0.0167286
+0.018165
+0.0197379
+0.0214197
+0.0231866
+0.0250206
+0.0266186
+0.0280559
+0.0295767
+0.0311697
+0.0328315
+0.0345524
+0.0363239
+0.038139
+0.0399917
+0.0418771
+0.0432936
+0.0434441
+0.0437041
+0.0440715
+0.0445438
+0.0451176
+0.0751168
+0.0747953
+0.0745369
+0.0743421
+0.0742091
+0.0741305
+0.0741166
+0.0741674
+0.0742512
+0.0742687
+0.0743508
+0.0744972
+0.0747075
+0.0749814
+0.0753179
+0.0757164
+0.0761725
+0.0752381
+0.0740058
+0.0728185
+0.0716786
+0.0705882
+0.0695497
+0.0685654
+0.0676267
+0.0667463
+0.065927
+0.065171
+0.0644806
+0.0638534
+0.0632936
+0.0627011
+0.0618806
+0.0610885
+0.0603647
+0.0596659
+0.0590088
+0.0584231
+0.0569175
+0.0549661
+0.0528677
+0.0507771
+0.0486953
+0.0466235
+0.044563
+0.0425156
+0.0404832
+0.0384656
+0.0364621
+0.0344814
+0.0325276
+0.0306059
+0.0287228
+0.0268862
+0.0251033
+0.0233891
+0.0217606
+0.0202385
+0.0188147
+0.017534
+0.0164465
+0.0155927
+0.0150124
+0.0138996
+0.0125474
+0.0114467
+0.0106135
+0.0101913
+0.0101719
+0.0105841
+0.011364
+0.01245
+0.0122337
+0.0120263
+0.0122146
+0.0127608
+0.0136153
+0.0147319
+0.0160664
+0.0175736
+0.0192127
+0.0209402
+0.0227444
+0.0246114
+0.026199
+0.0276581
+0.0291997
+0.0308121
+0.0324922
+0.0342302
+0.0360175
+0.0378473
+0.0397136
+0.0416116
+0.0435371
+0.0443337
+0.0445885
+0.0449487
+0.0454118
+0.0459748
+0.0763089
+0.0759924
+0.0757381
+0.0755464
+0.0754174
+0.0753403
+0.0753266
+0.0753766
+0.0754901
+0.075667
+0.0758616
+0.0760051
+0.0762113
+0.0764797
+0.0768097
+0.0772005
+0.0776392
+0.0770262
+0.0758229
+0.0746645
+0.0735532
+0.072491
+0.0714802
+0.0705178
+0.069605
+0.0687499
+0.0679547
+0.0672215
+0.0665524
+0.0659449
+0.0654031
+0.0646879
+0.0638698
+0.0631019
+0.0623709
+0.0616648
+0.0610254
+0.0591238
+0.05701
+0.0549024
+0.0528014
+0.0507081
+0.0486234
+0.0465484
+0.0444825
+0.0424238
+0.040379
+0.0383504
+0.0363405
+0.0343528
+0.0323912
+0.0304609
+0.0285682
+0.0267211
+0.0249265
+0.0231993
+0.0215565
+0.0200188
+0.0185791
+0.0172813
+0.0161768
+0.0153079
+0.0147165
+0.0135087
+0.012113
+0.0109688
+0.0100962
+0.00965148
+0.00963095
+0.0100653
+0.0109229
+0.0120508
+0.0117032
+0.0114862
+0.0116833
+0.0122321
+0.0130969
+0.014249
+0.0156248
+0.017167
+0.0188355
+0.020602
+0.0224435
+0.0243429
+0.025958
+0.02743
+0.0289837
+0.0306075
+0.0322983
+0.0340461
+0.0358427
+0.0376809
+0.0395551
+0.0414604
+0.0433925
+0.0453119
+0.0455611
+0.0459137
+0.0463672
+0.0469187
+0.0775445
+0.0772331
+0.0769828
+0.0767943
+0.0766679
+0.0765936
+0.0765802
+0.0766293
+0.0767411
+0.076915
+0.0771509
+0.0774479
+0.0777477
+0.0780108
+0.0783344
+0.0787091
+0.0791395
+0.0788345
+0.0776592
+0.0765287
+0.0754448
+0.0744096
+0.0734251
+0.0724833
+0.0715956
+0.0707645
+0.0699923
+0.0692806
+0.0686316
+0.0680427
+0.0675125
+0.0666665
+0.0658624
+0.0650895
+0.0643599
+0.0633879
+0.061264
+0.059145
+0.0570314
+0.0549238
+0.052823
+0.0507298
+0.0486421
+0.0465612
+0.0444909
+0.0424326
+0.0403882
+0.0383601
+0.0363507
+0.0343636
+0.0324027
+0.0304731
+0.0285806
+0.0267318
+0.0249384
+0.0232133
+0.0215728
+0.0200024
+0.018552
+0.0172585
+0.0161548
+0.0152836
+0.0146902
+0.013457
+0.0120515
+0.0108691
+0.00998776
+0.00953794
+0.00950627
+0.00994609
+0.0108134
+0.0119509
+0.0114954
+0.0112744
+0.0114751
+0.0120333
+0.0129114
+0.0140786
+0.0154696
+0.0170259
+0.018707
+0.0204846
+0.0223358
+0.0242436
+0.0258982
+0.0273733
+0.0289251
+0.0305515
+0.0322449
+0.0339951
+0.0357938
+0.0376341
+0.0395102
+0.0414172
+0.043351
+0.0453082
+0.0466091
+0.0469538
+0.0473973
+0.0479337
+0.0788217
+0.0785154
+0.0782692
+0.0780837
+0.0779594
+0.0778884
+0.0778752
+0.0779236
+0.0780334
+0.0782045
+0.0784364
+0.0787287
+0.0790806
+0.0794913
+0.0798848
+0.0802491
+0.0806713
+0.0806618
+0.0795135
+0.0784097
+0.0773522
+0.0763429
+0.075379
+0.0744614
+0.0735975
+0.0727894
+0.0720388
+0.0713476
+0.0707175
+0.0701461
+0.0694758
+0.0686364
+0.0678352
+0.067085
+0.065581
+0.0634548
+0.0613332
+0.0592167
+0.0571057
+0.055001
+0.0529032
+0.0508133
+0.0487323
+0.0466613
+0.0445978
+0.0425431
+0.0405027
+0.0384787
+0.0364741
+0.0344921
+0.0325369
+0.0306135
+0.0287285
+0.0268899
+0.0251078
+0.0233952
+0.0217684
+0.0202134
+0.0187793
+0.0175018
+0.0164113
+0.0155545
+0.0149718
+0.0137012
+0.0123236
+0.0111699
+0.0103144
+0.00987942
+0.00984885
+0.010274
+0.0111158
+0.0122131
+0.0116498
+0.0114318
+0.0116298
+0.0121935
+0.0130609
+0.0142158
+0.0155946
+0.0171432
+0.0188199
+0.0205933
+0.0224406
+0.0243418
+0.0259902
+0.0274604
+0.0290075
+0.0306296
+0.0323188
+0.0340652
+0.0358604
+0.0376975
+0.0395706
+0.0414748
+0.043406
+0.0453608
+0.0473363
+0.0479987
+0.0483559
+0.0487924
+0.0801384
+0.0798371
+0.079595
+0.0794126
+0.0792904
+0.0792216
+0.0792086
+0.0792562
+0.0793642
+0.0795324
+0.0797605
+0.0800479
+0.080394
+0.080798
+0.0812591
+0.0817763
+0.0822329
+0.0825068
+0.0813846
+0.0803065
+0.0792742
+0.0782897
+0.0773451
+0.0764511
+0.07561
+0.0748235
+0.0740936
+0.0734217
+0.0728096
+0.0722547
+0.0714354
+0.07061
+0.069821
+0.0678446
+0.0657187
+0.0635972
+0.0614805
+0.0593692
+0.0572638
+0.0551651
+0.0530739
+0.0509909
+0.0489174
+0.0468546
+0.0448
+0.042755
+0.0407252
+0.0387129
+0.036721
+0.0347531
+0.0328134
+0.0309073
+0.0290414
+0.0272239
+0.0254652
+0.0237783
+0.0221781
+0.0206468
+0.0192382
+0.0179868
+0.0169275
+0.0160982
+0.0155359
+0.0142811
+0.0129653
+0.0118742
+0.0110732
+0.0106692
+0.0106409
+0.0110356
+0.0118096
+0.0126794
+0.0121651
+0.0119666
+0.0121559
+0.0126757
+0.0135122
+0.0146315
+0.0159745
+0.0174895
+0.0191358
+0.0208825
+0.0227062
+0.0245899
+0.0262652
+0.0277208
+0.0292541
+0.0308633
+0.0325404
+0.0342755
+0.0360603
+0.0378876
+0.0397517
+0.0416477
+0.0435712
+0.0455189
+0.0474879
+0.048899
+0.0492366
+0.0496442
+0.0814927
+0.0811965
+0.0809584
+0.0807791
+0.080659
+0.0805914
+0.0805786
+0.0806253
+0.0807315
+0.0808969
+0.0811211
+0.0814037
+0.0817441
+0.0821415
+0.0825951
+0.083104
+0.0836671
+0.0842835
+0.0832712
+0.0822178
+0.0812099
+0.0802448
+0.079323
+0.0784515
+0.077632
+0.0768663
+0.0761559
+0.0755024
+0.0749073
+0.0742581
+0.0734081
+0.0722998
+0.070172
+0.0680483
+0.0659289
+0.0638144
+0.0617052
+0.0596018
+0.057505
+0.0554154
+0.053334
+0.0512616
+0.0491996
+0.0471491
+0.0451078
+0.0430774
+0.0410635
+0.0390686
+0.0370951
+0.0351473
+0.0332298
+0.0313481
+0.0295091
+0.0277212
+0.0259951
+0.0243438
+0.022778
+0.0212861
+0.0199228
+0.0187172
+0.0177016
+0.0169104
+0.016376
+0.0151584
+0.0139257
+0.0128913
+0.0121544
+0.0117844
+0.0117592
+0.0121153
+0.0128269
+0.0134848
+0.0130019
+0.0128078
+0.0129848
+0.0135005
+0.0142888
+0.0153516
+0.0166365
+0.0180962
+0.0196919
+0.0213932
+0.0231768
+0.0250251
+0.0267176
+0.0281498
+0.029661
+0.0312492
+0.0329066
+0.0346234
+0.0363911
+0.0382026
+0.0400521
+0.0419344
+0.0438454
+0.0457815
+0.0477396
+0.049717
+0.0501594
+0.0505684
+0.0828828
+0.0825916
+0.0823576
+0.0821813
+0.0820632
+0.0819968
+0.0819842
+0.0820301
+0.0821345
+0.0822971
+0.0825175
+0.0827954
+0.08313
+0.0835208
+0.0839669
+0.0844676
+0.0850217
+0.0856283
+0.0851724
+0.0841428
+0.0831582
+0.0822113
+0.0813118
+0.0804618
+0.079663
+0.078917
+0.0782252
+0.0775892
+0.0770102
+0.0759972
+0.0746812
+0.0725571
+0.0704372
+0.0683217
+0.0662111
+0.0641058
+0.0620065
+0.0599137
+0.0578282
+0.0557508
+0.0536823
+0.051624
+0.049577
+0.0475428
+0.0455157
+0.0435037
+0.0415098
+0.0395368
+0.0375879
+0.035667
+0.033779
+0.0319297
+0.0301262
+0.0283772
+0.0266878
+0.0250701
+0.0235445
+0.0221045
+0.0207949
+0.0196429
+0.0186778
+0.0179296
+0.0174265
+0.0162849
+0.0150935
+0.0141337
+0.013465
+0.0131319
+0.0131079
+0.0134294
+0.0140773
+0.0145498
+0.0141039
+0.0139327
+0.0140956
+0.0145894
+0.0153414
+0.0163359
+0.0175488
+0.0189384
+0.0204685
+0.0221101
+0.0238401
+0.0256406
+0.0273386
+0.0287399
+0.0302215
+0.0317817
+0.0334128
+0.0351048
+0.0368494
+0.0386395
+0.040469
+0.0423328
+0.0442266
+0.0461466
+0.0480898
+0.0500535
+0.0511505
+0.0515523
+0.0843069
+0.0840206
+0.0837906
+0.0836174
+0.0835013
+0.083436
+0.0834237
+0.0834688
+0.0835714
+0.0837312
+0.0839478
+0.0842209
+0.08455
+0.0849342
+0.085373
+0.0858654
+0.0864106
+0.0870075
+0.0870872
+0.0860805
+0.0851144
+0.0841889
+0.0833107
+0.0824813
+0.0817023
+0.0808803
+0.0797028
+0.0785688
+0.0774801
+0.0764387
+0.0749943
+0.0728794
+0.0707691
+0.0686639
+0.0665641
+0.0644704
+0.0623834
+0.0603037
+0.0582321
+0.0561696
+0.0541172
+0.052076
+0.0500475
+0.048029
+0.0460226
+0.0440338
+0.042065
+0.0401193
+0.0382001
+0.0363116
+0.034459
+0.0326482
+0.030879
+0.0291649
+0.0275184
+0.0259526
+0.0244819
+0.0231005
+0.0218507
+0.0207574
+0.0198465
+0.0191441
+0.0186737
+0.0175682
+0.0164618
+0.0155864
+0.0149827
+0.0146841
+0.0146613
+0.0149502
+0.015535
+0.0158478
+0.0154394
+0.0152867
+0.0154353
+0.0158875
+0.0166173
+0.0175399
+0.0186748
+0.0199862
+0.0214417
+0.023014
+0.0246807
+0.026424
+0.028117
+0.0294813
+0.0309275
+0.0324537
+0.0340526
+0.0357143
+0.0374305
+0.0391941
+0.0409988
+0.0428396
+0.0447119
+0.046612
+0.0485366
+0.0504829
+0.0522147
+0.0526083
+0.0857634
+0.0854819
+0.0852559
+0.0850856
+0.0849715
+0.0849074
+0.0848952
+0.0849396
+0.0850404
+0.0851974
+0.0854104
+0.0856788
+0.0860023
+0.0863801
+0.0868115
+0.0872958
+0.0878321
+0.0884195
+0.0890147
+0.08803
+0.0870811
+0.0861767
+0.085108
+0.0838182
+0.0825664
+0.0813543
+0.0801838
+0.0790566
+0.0779747
+0.07694
+0.0753699
+0.0732659
+0.071167
+0.0690739
+0.066987
+0.0649069
+0.0628344
+0.0607701
+0.058715
+0.0566701
+0.0546365
+0.0526155
+0.0506071
+0.0486084
+0.046627
+0.0446651
+0.0427254
+0.0408112
+0.0389261
+0.037074
+0.0352531
+0.0334762
+0.0317511
+0.0300867
+0.0284936
+0.0269844
+0.0255732
+0.024254
+0.0230667
+0.0220338
+0.0211779
+0.0205211
+0.020083
+0.0190109
+0.0179934
+0.0171962
+0.0166509
+0.0163828
+0.0163611
+0.0166205
+0.0171493
+0.0173264
+0.0169537
+0.0168147
+0.01695
+0.0173628
+0.0180341
+0.0189117
+0.0199688
+0.0212003
+0.0225777
+0.0240759
+0.0256738
+0.0273539
+0.0290401
+0.030363
+0.031769
+0.0332567
+0.0348187
+0.0364455
+0.0381289
+0.0398615
+0.0416373
+0.0434511
+0.0452981
+0.0471746
+0.0490771
+0.0510028
+0.052949
+0.053733
+0.0872505
+0.0869739
+0.0867517
+0.0865844
+0.0864723
+0.0864092
+0.0863973
+0.0864409
+0.08654
+0.0866943
+0.0869036
+0.0871674
+0.0874853
+0.0878568
+0.088281
+0.0887573
+0.0892848
+0.0898626
+0.0904898
+0.0896722
+0.088286
+0.086933
+0.0856147
+0.0843326
+0.0830885
+0.0818842
+0.0807213
+0.0796018
+0.0785274
+0.0775001
+0.075807
+0.0737154
+0.0716297
+0.0695505
+0.0674784
+0.0654139
+0.063358
+0.0613114
+0.059275
+0.0572501
+0.0552378
+0.0532397
+0.0512511
+0.0492786
+0.0473252
+0.0453935
+0.0434863
+0.0416047
+0.0397496
+0.0379304
+0.0361524
+0.0344221
+0.0327468
+0.0311357
+0.0295991
+0.0281492
+0.0267994
+0.0255436
+0.0244191
+0.0234459
+0.0226434
+0.0220304
+0.0216229
+0.0205861
+0.0196503
+0.018923
+0.0184289
+0.018187
+0.0181664
+0.0184004
+0.0188802
+0.0189435
+0.0186032
+0.0184766
+0.0185998
+0.0189768
+0.0195929
+0.0204035
+0.021387
+0.0225412
+0.0238412
+0.0252646
+0.0267917
+0.0284057
+0.0300928
+0.0313731
+0.0327358
+0.0341814
+0.035703
+0.0372913
+0.0389381
+0.0406362
+0.0423796
+0.0441628
+0.0459813
+0.047831
+0.0497084
+0.0516105
+0.0535347
+0.054922
+0.0887668
+0.0884949
+0.0882766
+0.0881121
+0.088002
+0.08794
+0.0879283
+0.0879712
+0.0880685
+0.0882201
+0.0884258
+0.0886851
+0.0889976
+0.0893628
+0.0897799
+0.0902483
+0.0907671
+0.0913356
+0.0916159
+0.0902064
+0.0888286
+0.087484
+0.086174
+0.0849004
+0.0836648
+0.0824689
+0.0813144
+0.0802031
+0.0791369
+0.0781176
+0.0763045
+0.0742269
+0.072156
+0.0700924
+0.0680368
+0.0659898
+0.0639524
+0.0619254
+0.0599099
+0.0579072
+0.0559186
+0.0539423
+0.0519795
+0.0500357
+0.0481131
+0.0462103
+0.0443315
+0.0424826
+0.0406676
+0.0388913
+0.0371593
+0.0354781
+0.0338552
+0.0322994
+0.0308208
+0.0294312
+0.0281429
+0.0269498
+0.0258865
+0.0249706
+0.0242187
+0.0236465
+0.0232673
+0.0222656
+0.0214034
+0.0207376
+0.0202878
+0.0200683
+0.0200486
+0.0202609
+0.0206984
+0.0206666
+0.0203551
+0.0202395
+0.020352
+0.020697
+0.0212633
+0.0220126
+0.0229272
+0.0240074
+0.025232
+0.026581
+0.0280365
+0.0295827
+0.0312062
+0.0324829
+0.033813
+0.0352184
+0.036697
+0.038244
+0.0398514
+0.0415122
+0.0432203
+0.0449702
+0.0467573
+0.0485774
+0.050427
+0.052303
+0.0542026
+0.0561234
+0.0903108
+0.0900435
+0.0898289
+0.0896674
+0.0895591
+0.0894983
+0.0894867
+0.0895288
+0.0896245
+0.0897735
+0.0899756
+0.0902305
+0.0905377
+0.0908966
+0.0913067
+0.0917673
+0.0922776
+0.0928368
+0.0921909
+0.0907904
+0.0894215
+0.0880859
+0.0867851
+0.0855206
+0.0842941
+0.0831072
+0.0819617
+0.0808593
+0.0798019
+0.0787912
+0.0768612
+0.0747991
+0.0727445
+0.0706981
+0.0686605
+0.0666327
+0.0646156
+0.0626101
+0.0606174
+0.0586389
+0.0566751
+0.0547226
+0.0527888
+0.0508707
+0.0489747
+0.0471042
+0.0452625
+0.0434532
+0.0416806
+0.0399494
+0.0382653
+0.0366349
+0.0350655
+0.0335658
+0.0321456
+0.0308158
+0.02958
+0.0284464
+0.0274411
+0.0265788
+0.0258737
+0.0253389
+0.0249659
+0.0240152
+0.0232196
+0.0226091
+0.0221989
+0.021997
+0.0219733
+0.0221671
+0.0225729
+0.0224593
+0.022173
+0.022079
+0.0221822
+0.0224992
+0.0230212
+0.023715
+0.0245663
+0.0255774
+0.0267301
+0.0280071
+0.029392
+0.0308704
+0.0324295
+0.0336956
+0.0349797
+0.0363505
+0.0377919
+0.0392958
+0.0408619
+0.0424832
+0.0441537
+0.045868
+0.0476214
+0.0494098
+0.0512293
+0.053077
+0.0549498
+0.0568454
+0.091881
+0.0916184
+0.0914075
+0.0912487
+0.0911423
+0.0910825
+0.0910712
+0.0911126
+0.0912066
+0.091353
+0.0915516
+0.0918021
+0.0921041
+0.0924569
+0.0928601
+0.0933131
+0.093815
+0.0942355
+0.0928141
+0.0914231
+0.0900639
+0.088738
+0.0874468
+0.086192
+0.0849752
+0.0837979
+0.082662
+0.0815691
+0.080521
+0.0795194
+0.0774759
+0.0754306
+0.0733937
+0.0713658
+0.069348
+0.0673409
+0.0653456
+0.0633632
+0.0613949
+0.059441
+0.0574988
+0.0555721
+0.0536633
+0.0517769
+0.0499153
+0.0480814
+0.0462786
+0.0445107
+0.0427818
+0.041097
+0.039462
+0.0378831
+0.0363676
+0.0349239
+0.0335612
+0.032285
+0.0310957
+0.0300193
+0.0290685
+0.0282559
+0.0275937
+0.0270929
+0.0267227
+0.0258249
+0.0250868
+0.0245228
+0.0241452
+0.0239571
+0.0239353
+0.0241134
+0.0244869
+0.024309
+0.0240447
+0.0239777
+0.0240727
+0.0243651
+0.024848
+0.0254921
+0.0262859
+0.0272332
+0.0283187
+0.029527
+0.0308438
+0.0322557
+0.0337509
+0.0350036
+0.0362413
+0.0375661
+0.0389691
+0.040439
+0.0419625
+0.0435428
+0.0451742
+0.0468512
+0.0485691
+0.0503238
+0.0521114
+0.0539289
+0.0557731
+0.0576416
+0.0934762
+0.0932181
+0.0930108
+0.0928548
+0.0927503
+0.0926915
+0.0926804
+0.092721
+0.0928134
+0.0929573
+0.0931525
+0.0933987
+0.0936955
+0.0940424
+0.0944388
+0.0948842
+0.0953779
+0.0948958
+0.0934844
+0.0921036
+0.0907546
+0.0894389
+0.088158
+0.0869135
+0.0857069
+0.0845398
+0.083414
+0.0823311
+0.0812928
+0.080183
+0.0781472
+0.0761199
+0.0741019
+0.072094
+0.0700971
+0.0681121
+0.0661401
+0.0641789
+0.0622302
+0.0602982
+0.0583845
+0.0564878
+0.054611
+0.0527585
+0.0509328
+0.0491369
+0.0473743
+0.0456488
+0.0439647
+0.0423271
+0.0407414
+0.039214
+0.0377521
+0.0363634
+0.0350551
+0.0338213
+0.0326879
+0.0316658
+0.0307659
+0.0299993
+0.0293764
+0.0289065
+0.0285289
+0.0276898
+0.0270027
+0.0264795
+0.0261301
+0.0259541
+0.025934
+0.0260985
+0.026444
+0.0262112
+0.0259663
+0.025905
+0.0259958
+0.0262668
+0.0267153
+0.0273293
+0.0280712
+0.0289602
+0.0299832
+0.031127
+0.0323787
+0.0337265
+0.0351591
+0.0363965
+0.0375884
+0.0388673
+0.040225
+0.0416536
+0.0431462
+0.0446848
+0.0462759
+0.0479144
+0.0495955
+0.0513151
+0.0530694
+0.0548551
+0.0566692
+0.0585091
+0.0950952
+0.0948414
+0.0946377
+0.0944844
+0.0943817
+0.0943239
+0.094313
+0.0943529
+0.0944437
+0.0945851
+0.094777
+0.095019
+0.0953107
+0.0956517
+0.0960415
+0.0964795
+0.0969651
+0.0956018
+0.094201
+0.0928308
+0.0914925
+0.0901876
+0.0889175
+0.0876837
+0.0864879
+0.0853315
+0.0842163
+0.0831438
+0.0821158
+0.0808912
+0.0788736
+0.0768655
+0.0748676
+0.0728808
+0.0709059
+0.0689392
+0.0669857
+0.0650474
+0.0631256
+0.0612219
+0.0593379
+0.0574724
+0.0556289
+0.0538114
+0.0520227
+0.0502658
+0.0485442
+0.0468617
+0.0452229
+0.0436325
+0.042096
+0.0406196
+0.0392101
+0.0378749
+0.0366062
+0.0354265
+0.0343462
+0.0333749
+0.0325223
+0.0317981
+0.0312111
+0.0307692
+0.0303857
+0.0295993
+0.0289575
+0.0284703
+0.0281457
+0.0279801
+0.0279615
+0.0281141
+0.0284351
+0.0281554
+0.0279276
+0.0278706
+0.0279555
+0.0282077
+0.0286258
+0.0292027
+0.0299105
+0.0307463
+0.0317117
+0.0327953
+0.0339856
+0.035272
+0.0366443
+0.037865
+0.0390121
+0.0402458
+0.0415584
+0.0429427
+0.044392
+0.0459001
+0.0474533
+0.0490524
+0.0506958
+0.0523793
+0.0540991
+0.0558519
+0.0576346
+0.0594446
+0.0967366
+0.0964872
+0.096287
+0.0961363
+0.0960353
+0.0959786
+0.0959678
+0.0960071
+0.0960963
+0.0962353
+0.0964238
+0.0966617
+0.0969485
+0.0972838
+0.0976671
+0.0980978
+0.0977714
+0.0963524
+0.0949627
+0.0936036
+0.0922766
+0.0909829
+0.089724
+0.0885015
+0.0873169
+0.0861717
+0.0850674
+0.0840058
+0.0829885
+0.081652
+0.0796537
+0.0776657
+0.0756875
+0.0737176
+0.0717605
+0.0698173
+0.0678891
+0.0659773
+0.0640834
+0.062209
+0.0603559
+0.0585225
+0.0567132
+0.0549316
+0.0531805
+0.0514632
+0.049783
+0.0481439
+0.0465502
+0.0450067
+0.0435188
+0.0420923
+0.0407338
+0.0394379
+0.0382201
+0.0370918
+0.0360613
+0.0351374
+0.0343287
+0.0336433
+0.0330891
+0.0326727
+0.0322844
+0.0315454
+0.030944
+0.0304886
+0.0301856
+0.0300293
+0.0300119
+0.0301541
+0.0304536
+0.0301335
+0.0299207
+0.0298676
+0.0299472
+0.0301827
+0.0305738
+0.0311146
+0.0317943
+0.0325818
+0.0334944
+0.034522
+0.0356548
+0.036883
+0.0381975
+0.0394006
+0.0405042
+0.0416938
+0.0429622
+0.0443027
+0.0457089
+0.0471749
+0.0486954
+0.0502603
+0.0518654
+0.0535121
+0.0551966
+0.0569156
+0.058666
+0.0604451
+0.0983995
+0.0981543
+0.0979575
+0.0978093
+0.0977101
+0.0976543
+0.0976438
+0.0976824
+0.09777
+0.0979066
+0.098092
+0.0983258
+0.0986078
+0.0989375
+0.0993144
+0.099738
+0.0985542
+0.0971466
+0.0957684
+0.094421
+0.0931056
+0.0918236
+0.0905764
+0.0893656
+0.0881925
+0.0870588
+0.085966
+0.0849156
+0.0839052
+0.082464
+0.0804827
+0.0785108
+0.0765509
+0.0746038
+0.0726705
+0.0707523
+0.0688503
+0.066966
+0.0651009
+0.0632566
+0.0614351
+0.0596347
+0.0578601
+0.0561149
+0.054402
+0.0527244
+0.0510858
+0.0494898
+0.0479409
+0.0464436
+0.0450032
+0.0436253
+0.042307
+0.0410573
+0.039889
+0.0388092
+0.0378256
+0.0369459
+0.0361775
+0.0355279
+0.0350035
+0.03461
+0.0342181
+0.0335216
+0.0329564
+0.0325291
+0.0322453
+0.0320971
+0.0320809
+0.0322139
+0.0324854
+0.0321391
+0.0319397
+0.0318899
+0.0319649
+0.0321857
+0.0325528
+0.0330612
+0.0337047
+0.0344589
+0.035323
+0.0362989
+0.0373779
+0.0385512
+0.0398107
+0.0409958
+0.0420576
+0.0432044
+0.0444297
+0.0457272
+0.0470909
+0.0485152
+0.0499949
+0.0515254
+0.0530996
+0.0547092
+0.0563579
+0.0580425
+0.0597599
+0.0615074
+0.100083
+0.0998416
+0.0996481
+0.0995025
+0.099405
+0.0993501
+0.0993397
+0.0993777
+0.0994638
+0.0995981
+0.0997804
+0.10001
+0.100287
+0.100612
+0.100982
+0.100802
+0.0993792
+0.0979834
+0.0966172
+0.0952817
+0.0939783
+0.0927084
+0.0914733
+0.0902745
+0.0891134
+0.0879916
+0.0869105
+0.0858664
+0.0848619
+0.0833163
+0.0813542
+0.079404
+0.0774666
+0.0755431
+0.0736345
+0.0717421
+0.0698671
+0.0680109
+0.0661752
+0.0643618
+0.0625724
+0.0608054
+0.059066
+0.0573576
+0.0556829
+0.0540451
+0.0524477
+0.0508945
+0.0493896
+0.0479376
+0.0465435
+0.0452062
+0.0439299
+0.0427277
+0.0416063
+0.0405723
+0.0396324
+0.0387937
+0.0380627
+0.0374458
+0.0369486
+0.0365734
+0.036181
+0.0355231
+0.0349901
+0.034588
+0.0343213
+0.0341803
+0.034165
+0.03429
+0.0344934
+0.0341675
+0.03398
+0.0339332
+0.0340041
+0.0342117
+0.0345573
+0.0350366
+0.0356444
+0.036371
+0.0371907
+0.0381189
+0.0391477
+0.0402695
+0.0414768
+0.0426439
+0.0436656
+0.0447713
+0.0459548
+0.0472104
+0.0485324
+0.0499156
+0.051355
+0.0528461
+0.0543845
+0.0559664
+0.0575792
+0.0592291
+0.060913
+0.0626284
+0.101782
+0.101545
+0.101355
+0.101212
+0.101116
+0.101065
+0.101055
+0.101092
+0.101177
+0.101309
+0.101488
+0.101714
+0.101987
+0.102305
+0.10267
+0.101656
+0.100245
+0.0988617
+0.0975077
+0.0961846
+0.0948936
+0.0936361
+0.0924135
+0.091227
+0.0900782
+0.0889685
+0.0878931
+0.0868568
+0.0858639
+0.0842155
+0.0822748
+0.0803469
+0.0784329
+0.0765336
+0.0746504
+0.0727843
+0.0709369
+0.0691095
+0.0673038
+0.0655215
+0.0637647
+0.0620315
+0.0603275
+0.0586557
+0.0570192
+0.0554209
+0.0538643
+0.0523531
+0.0508914
+0.0494835
+0.0481303
+0.0468311
+0.0456003
+0.0444434
+0.0433663
+0.0423752
+0.0414763
+0.0406756
+0.039979
+0.0393921
+0.0389198
+0.0385597
+0.0381687
+0.0375457
+0.0370418
+0.0366622
+0.0364107
+0.0362761
+0.0362617
+0.0363795
+0.0365224
+0.0362148
+0.036038
+0.0359939
+0.036061
+0.0362569
+0.0365831
+0.0370363
+0.0376118
+0.0383041
+0.039092
+0.039976
+0.0409582
+0.0420318
+0.0431898
+0.044339
+0.0453225
+0.0463887
+0.047532
+0.048747
+0.0500284
+0.0513713
+0.0527711
+0.0542232
+0.0557236
+0.0572686
+0.0588511
+0.0604712
+0.062122
+0.0638049
+0.103497
+0.103264
+0.103077
+0.102936
+0.102842
+0.102794
+0.102788
+0.102824
+0.102908
+0.103038
+0.103214
+0.103436
+0.103704
+0.104018
+0.103975
+0.10255
+0.101151
+0.0997803
+0.098439
+0.0971286
+0.0958503
+0.0946055
+0.0933955
+0.0922217
+0.0910854
+0.0899808
+0.0889148
+0.0878906
+0.0869095
+0.0851615
+0.0832428
+0.0813379
+0.0794477
+0.0775734
+0.075716
+0.0738769
+0.0720574
+0.0702592
+0.0684838
+0.0667331
+0.065009
+0.0633096
+0.0616409
+0.0600058
+0.0584071
+0.0568479
+0.0553314
+0.0538614
+0.0524418
+0.0510749
+0.0497562
+0.0485006
+0.0473132
+0.0461992
+0.045164
+0.0442133
+0.0433524
+0.042587
+0.0419222
+0.0413629
+0.0409134
+0.040567
+0.0401776
+0.0395861
+0.0391086
+0.0387492
+0.0385113
+0.0383825
+0.0383689
+0.0384803
+0.0385691
+0.038278
+0.0381107
+0.038069
+0.0381329
+0.0383181
+0.038627
+0.0390564
+0.0396026
+0.0402606
+0.0410222
+0.0418654
+0.0428043
+0.0438327
+0.0449443
+0.0460703
+0.0470176
+0.0480462
+0.0491509
+0.0503269
+0.051569
+0.0528729
+0.0542338
+0.0556478
+0.0571108
+0.0586191
+0.0601659
+0.0617516
+0.0633733
+0.0650285
+0.0946201
+0.0931986
+0.0918058
+0.0904447
+0.0891167
+0.0878232
+0.0865659
+0.0852123
+0.0838644
+0.0825527
+0.0812788
+0.0800446
+0.0787762
+0.077542
+0.0763508
+0.0751723
+0.0740099
+0.0728948
+0.0718292
+0.0708153
+0.0697656
+0.0687259
+0.0677412
+0.0668137
+0.0659461
+0.0650655
+0.0641483
+0.0632376
+0.062375
+0.0615782
+0.0608499
+0.0601823
+0.0594295
+0.0583484
+0.0573306
+0.0563797
+0.055499
+0.0546781
+0.0539317
+0.0532649
+0.0526607
+0.0521086
+0.0516436
+0.0512681
+0.0509789
+0.0507695
+0.0506541
+0.0506315
+0.0506871
+0.0508372
+0.0510445
+0.0513445
+0.0517356
+0.0522157
+0.0527778
+0.0534216
+0.053928
+0.0529932
+0.0521297
+0.0513452
+0.0506372
+0.0500146
+0.0494813
+0.0490402
+0.0486936
+0.0484438
+0.0482921
+0.0482396
+0.0482865
+0.0484325
+0.0486764
+0.0487135
+0.0488489
+0.0490819
+0.0494109
+0.0498342
+0.0499687
+0.050098
+0.0499404
+0.0496105
+0.0493757
+0.0492374
+0.0491954
+0.0492332
+0.049368
+0.0495993
+0.0499257
+0.0503455
+0.0508562
+0.0514552
+0.0521394
+0.0529056
+0.0537502
+0.0546695
+0.05566
+0.0567178
+0.0578393
+0.0590208
+0.0602588
+0.0615499
+0.093193
+0.0917571
+0.0903423
+0.0889588
+0.0876083
+0.0862922
+0.0850122
+0.0837579
+0.0823862
+0.0810505
+0.0797527
+0.0784945
+0.0772607
+0.0760019
+0.0747861
+0.0736155
+0.0724448
+0.0713052
+0.0702155
+0.069178
+0.0681559
+0.0670992
+0.0660902
+0.0651393
+0.064249
+0.0633834
+0.0625158
+0.0615866
+0.0607067
+0.0598878
+0.0591383
+0.0584472
+0.057826
+0.056745
+0.055698
+0.0547187
+0.0538108
+0.0529714
+0.0522006
+0.0515115
+0.0508793
+0.0503103
+0.0498285
+0.0494392
+0.0491361
+0.0489188
+0.048799
+0.0487755
+0.0488332
+0.048989
+0.0492064
+0.0495175
+0.0499229
+0.0504203
+0.051
+0.0516659
+0.0518603
+0.0510049
+0.0501072
+0.0492905
+0.0485551
+0.0479055
+0.0473484
+0.0468872
+0.0465246
+0.0462631
+0.0461043
+0.0460492
+0.0460983
+0.0462513
+0.0464959
+0.0465348
+0.0466765
+0.0469203
+0.0472644
+0.0477067
+0.0477851
+0.0479203
+0.0477851
+0.0474402
+0.0471946
+0.0470499
+0.047006
+0.0470455
+0.0471866
+0.0474285
+0.0477698
+0.0482083
+0.0487414
+0.0493661
+0.0500789
+0.0508761
+0.0517538
+0.052708
+0.0537346
+0.0548296
+0.0559889
+0.0572086
+0.058485
+0.0598144
+0.0917959
+0.0903387
+0.0889087
+0.0875025
+0.0861291
+0.0847901
+0.0834871
+0.0822218
+0.0809403
+0.0795804
+0.0782581
+0.0769755
+0.0757341
+0.0744944
+0.0732536
+0.072058
+0.07091
+0.0697482
+0.0686338
+0.067572
+0.066554
+0.0655054
+0.0644714
+0.0634963
+0.0625826
+0.0617305
+0.0608566
+0.0599645
+0.0590726
+0.0582307
+0.0574566
+0.0567437
+0.0561072
+0.055182
+0.0541047
+0.053096
+0.0521599
+0.0512998
+0.0505041
+0.0497915
+0.0491305
+0.0485442
+0.0480448
+0.0476409
+0.0473229
+0.0470973
+0.0469728
+0.0469484
+0.0470084
+0.0471701
+0.0473983
+0.0477212
+0.0481417
+0.0486552
+0.0492555
+0.0499447
+0.0498031
+0.0490339
+0.0480994
+0.047248
+0.046483
+0.045804
+0.045221
+0.0447378
+0.0443577
+0.0440833
+0.0439166
+0.0438588
+0.0439104
+0.0440709
+0.0443165
+0.0443572
+0.0445059
+0.0447615
+0.045122
+0.0455508
+0.0456022
+0.0457439
+0.0456331
+0.0452719
+0.0450144
+0.0448626
+0.0448167
+0.0448581
+0.045006
+0.0452596
+0.0456172
+0.0460762
+0.0466337
+0.0472862
+0.0480299
+0.0488605
+0.0497738
+0.0507652
+0.0518303
+0.0529647
+0.0541639
+0.0554238
+0.0567403
+0.0581097
+0.0904183
+0.0889508
+0.0875003
+0.086073
+0.0846782
+0.0833172
+0.0819908
+0.080702
+0.0794528
+0.078144
+0.076797
+0.0754896
+0.0742233
+0.0729919
+0.0717552
+0.0705342
+0.069361
+0.068226
+0.0670863
+0.0659997
+0.0649687
+0.0639384
+0.0628873
+0.0618872
+0.0609494
+0.0600769
+0.059214
+0.0583641
+0.057467
+0.0566099
+0.0558089
+0.0550746
+0.0544186
+0.0536629
+0.0525545
+0.0515155
+0.0505501
+0.0496623
+0.0488402
+0.0481029
+0.0474185
+0.0468141
+0.046296
+0.0458767
+0.0455429
+0.0453084
+0.045179
+0.0451537
+0.045216
+0.0453842
+0.0456237
+0.0459591
+0.0463956
+0.0469258
+0.0475479
+0.0482615
+0.0477578
+0.0470049
+0.0461083
+0.0452194
+0.044421
+0.0437112
+0.0431
+0.0425927
+0.0421933
+0.0419047
+0.0417293
+0.0416685
+0.0417228
+0.0418917
+0.0421382
+0.042181
+0.0423374
+0.0426059
+0.0429846
+0.0433686
+0.0434201
+0.0435688
+0.043485
+0.0431058
+0.0428353
+0.0426758
+0.0426275
+0.0426711
+0.0428265
+0.043093
+0.0434683
+0.0439498
+0.0445339
+0.0452167
+0.0459939
+0.0468606
+0.0478121
+0.0488434
+0.0499495
+0.0511256
+0.0523669
+0.0536691
+0.0550276
+0.0564385
+0.0890347
+0.0875844
+0.0861223
+0.0846718
+0.0832536
+0.0818695
+0.0805204
+0.0792077
+0.0779345
+0.0767028
+0.0753712
+0.0740386
+0.072747
+0.0714903
+0.0702793
+0.0690463
+0.0678474
+0.0666988
+0.0655755
+0.0644634
+0.0634075
+0.0623786
+0.0613405
+0.0603147
+0.0593521
+0.0584558
+0.0576079
+0.0567551
+0.055897
+0.055025
+0.0541996
+0.0534431
+0.0527669
+0.0521605
+0.0510513
+0.049981
+0.0489854
+0.0480689
+0.0472193
+0.0464563
+0.0457472
+0.0451212
+0.0445858
+0.0441503
+0.0438002
+0.0435563
+0.0434217
+0.0433953
+0.0434602
+0.0436351
+0.0438867
+0.0442353
+0.0446886
+0.0452363
+0.0458814
+0.0466028
+0.045726
+0.044939
+0.0441361
+0.0432067
+0.0423703
+0.0416285
+0.0409862
+0.0404525
+0.0400317
+0.0397275
+0.0395424
+0.0394782
+0.0395355
+0.0397137
+0.0399612
+0.0400064
+0.0401712
+0.0404542
+0.0408528
+0.0411872
+0.0412389
+0.0413955
+0.0413414
+0.0409423
+0.0406575
+0.0404893
+0.0404385
+0.0404844
+0.0406483
+0.0409289
+0.0413239
+0.04183
+0.0424433
+0.0431593
+0.0439728
+0.0448786
+0.0458712
+0.0469451
+0.0480949
+0.0493152
+0.050601
+0.0519474
+0.0533498
+0.0548039
+0.0876839
+0.0862109
+0.0847689
+0.0833046
+0.0818628
+0.0804547
+0.0790823
+0.0777464
+0.0764489
+0.0751928
+0.0739803
+0.0726248
+0.0713075
+0.0700249
+0.0687882
+0.0675961
+0.0663709
+0.0651964
+0.0640752
+0.0629659
+0.0618845
+0.0608577
+0.059821
+0.0587819
+0.0577938
+0.0568729
+0.0560226
+0.0551644
+0.054329
+0.0534729
+0.0526319
+0.051853
+0.0511555
+0.0505258
+0.0495874
+0.048497
+0.0474702
+0.046524
+0.045646
+0.0448563
+0.0441215
+0.043472
+0.042916
+0.0424634
+0.0420993
+0.0418455
+0.0417054
+0.0416779
+0.0417455
+0.0419275
+0.042192
+0.0425544
+0.0430238
+0.0435916
+0.0442606
+0.044626
+0.0437096
+0.0428856
+0.0421595
+0.0412121
+0.0403343
+0.0395575
+0.038881
+0.038318
+0.0378735
+0.0375518
+0.0373559
+0.037288
+0.0373486
+0.0375372
+0.0377859
+0.0378337
+0.0380079
+0.0383068
+0.0387276
+0.0390069
+0.0390588
+0.0392221
+0.039203
+0.0387819
+0.0384811
+0.0383034
+0.0382496
+0.0382982
+0.0384714
+0.0387678
+0.0391846
+0.039718
+0.0403634
+0.0411156
+0.0419687
+0.0429168
+0.0439538
+0.0450734
+0.0462697
+0.0475369
+0.0488695
+0.0502623
+0.0517105
+0.0532094
+0.0863676
+0.0848717
+0.0834066
+0.0819732
+0.0805075
+0.0790754
+0.0776786
+0.0763191
+0.0749979
+0.0737171
+0.0724799
+0.0712447
+0.0699019
+0.0685982
+0.0673353
+0.0661209
+0.0649273
+0.0637262
+0.0625787
+0.0614879
+0.0603914
+0.0593453
+0.0583157
+0.0572918
+0.0562776
+0.0553314
+0.0544571
+0.053616
+0.0527896
+0.0519575
+0.0511018
+0.0503079
+0.0495796
+0.0489296
+0.0481721
+0.0470595
+0.0460095
+0.0450326
+0.0441254
+0.043308
+0.0425465
+0.0418726
+0.0412951
+0.0408245
+0.0404456
+0.0401814
+0.0400354
+0.0400068
+0.0400772
+0.0402668
+0.0405433
+0.0409203
+0.041407
+0.0419966
+0.0426907
+0.04267
+0.0417107
+0.0408464
+0.0400833
+0.0392384
+0.0383155
+0.037498
+0.0367858
+0.0361902
+0.0357192
+0.0353779
+0.03517
+0.0350978
+0.0351622
+0.0353625
+0.0356124
+0.0356631
+0.0358479
+0.0361647
+0.0366098
+0.0368278
+0.0368799
+0.0370426
+0.0370707
+0.036625
+0.0363064
+0.036118
+0.036061
+0.0361126
+0.0362962
+0.0366102
+0.0370512
+0.0376149
+0.0382958
+0.0390878
+0.0399842
+0.0409783
+0.042063
+0.0432316
+0.0444775
+0.0457944
+0.0471762
+0.0486176
+0.0501132
+0.0516585
+0.0849586
+0.0835686
+0.0820802
+0.0806238
+0.0791897
+0.0777333
+0.0763119
+0.0749277
+0.0735826
+0.0722776
+0.0710153
+0.069799
+0.0685336
+0.0672081
+0.0659233
+0.0646823
+0.0634927
+0.0622983
+0.061124
+0.0600068
+0.0589396
+0.0578672
+0.056855
+0.05583
+0.0547944
+0.0538222
+0.0529229
+0.0521003
+0.0512631
+0.0504397
+0.0496205
+0.0488117
+0.048052
+0.0473809
+0.0468002
+0.0456709
+0.0446014
+0.0436003
+0.0426632
+0.0418172
+0.041028
+0.0403287
+0.0397288
+0.0392394
+0.0388451
+0.0385699
+0.0384178
+0.038388
+0.0384613
+0.0386589
+0.0389468
+0.0393391
+0.0398452
+0.0404575
+0.0411775
+0.040738
+0.039732
+0.0388237
+0.0380201
+0.0372889
+0.0363165
+0.0354529
+0.0347024
+0.0340704
+0.0335697
+0.0332063
+0.0329846
+0.0329077
+0.0329764
+0.0331898
+0.0334412
+0.0334952
+0.0336919
+0.0340287
+0.0344963
+0.0346502
+0.0347025
+0.0348645
+0.0349456
+0.0344725
+0.0341337
+0.0339333
+0.0338727
+0.0339276
+0.034123
+0.0344568
+0.034925
+0.0355225
+0.0362427
+0.0370785
+0.0380224
+0.0390664
+0.0402027
+0.0414239
+0.0427225
+0.0440918
+0.0455254
+0.0470173
+0.0485623
+0.0501434
+0.0835574
+0.082193
+0.0807914
+0.0793113
+0.0778595
+0.0764304
+0.0749844
+0.0735751
+0.0722049
+0.0708758
+0.0695889
+0.0683472
+0.067154
+0.0658567
+0.0645506
+0.0632869
+0.0620706
+0.0609075
+0.0597144
+0.0585702
+0.0574868
+0.0564355
+0.0554013
+0.0543908
+0.0533582
+0.0523593
+0.0514345
+0.0505876
+0.0497862
+0.0489728
+0.0481696
+0.0473607
+0.0465772
+0.0458846
+0.0452843
+0.0443471
+0.0432449
+0.0422232
+0.0412654
+0.0403902
+0.0395726
+0.0388471
+0.0382239
+0.037715
+0.0373046
+0.037018
+0.0368595
+0.0368284
+0.0369048
+0.0371106
+0.0374104
+0.0378187
+0.0383449
+0.0389808
+0.0397275
+0.0388335
+0.0377768
+0.0368203
+0.0359719
+0.0352395
+0.034341
+0.0334264
+0.032633
+0.0319601
+0.0314258
+0.0310373
+0.0308001
+0.0307176
+0.0307912
+0.0310197
+0.0312727
+0.0313304
+0.0315406
+0.0319002
+0.0323917
+0.0324738
+0.0325269
+0.0326881
+0.0328291
+0.0323251
+0.0319635
+0.0317494
+0.0316847
+0.0317434
+0.0319521
+0.0323083
+0.0328073
+0.0334426
+0.0342066
+0.035091
+0.0360869
+0.0371852
+0.0383774
+0.0396548
+0.0410094
+0.0424341
+0.0439218
+0.0454664
+0.0470499
+0.0486745
+0.0821907
+0.0808033
+0.0794521
+0.0780383
+0.0765609
+0.0751183
+0.073698
+0.0722637
+0.0708681
+0.0695135
+0.0682024
+0.0669356
+0.0657168
+0.0645493
+0.0632183
+0.061934
+0.0606941
+0.0595055
+0.0583464
+0.0571815
+0.0560712
+0.0550259
+0.053993
+0.0529831
+0.0519691
+0.0509487
+0.0499977
+0.0491261
+0.0483381
+0.0475362
+0.0467238
+0.0459677
+0.0451606
+0.044446
+0.0438255
+0.0430926
+0.0419589
+0.0409051
+0.0399252
+0.0390341
+0.0381874
+0.0374351
+0.036788
+0.036259
+0.0358319
+0.0355333
+0.0353682
+0.0353358
+0.0354155
+0.0356299
+0.0359421
+0.0363668
+0.0369137
+0.0375738
+0.0381615
+0.0369606
+0.0358488
+0.0348394
+0.0339415
+0.0331643
+0.0323931
+0.0314219
+0.030577
+0.0298614
+0.0292889
+0.0288716
+0.0286164
+0.0285277
+0.0286069
+0.0288527
+0.0291075
+0.0291695
+0.0293952
+0.0297807
+0.0302993
+0.0302965
+0.0303535
+0.0305138
+0.030723
+0.0301838
+0.0297963
+0.0295665
+0.029497
+0.0295602
+0.0297842
+0.030166
+0.0306998
+0.0313778
+0.0321909
+0.0331291
+0.0341822
+0.0353398
+0.0365921
+0.0379297
+0.0393438
+0.0408266
+0.0423708
+0.043957
+0.0455865
+0.0472614
+0.0808603
+0.0794497
+0.078075
+0.0767383
+0.0753036
+0.0738365
+0.0724059
+0.0709957
+0.0695747
+0.0681944
+0.0668574
+0.0655664
+0.0643221
+0.0631289
+0.0619349
+0.0606234
+0.0593638
+0.0581509
+0.0569934
+0.0558397
+0.0547068
+0.0536349
+0.0526323
+0.0516196
+0.0506027
+0.0495922
+0.0486173
+0.0477205
+0.0469089
+0.046132
+0.0453354
+0.0445743
+0.0438078
+0.0430707
+0.0424298
+0.0418754
+0.0407502
+0.0396643
+0.0386529
+0.0377417
+0.0368633
+0.0360959
+0.0354294
+0.0348798
+0.0344347
+0.0341239
+0.033952
+0.0339188
+0.0340021
+0.0342254
+0.0345502
+0.0349919
+0.0355599
+0.0362448
+0.0362465
+0.0351246
+0.0339527
+0.0328851
+0.0319324
+0.031105
+0.0304132
+0.0294439
+0.0285406
+0.027777
+0.0271605
+0.02671
+0.026434
+0.0263378
+0.0264236
+0.0266896
+0.0269465
+0.0270135
+0.0272569
+0.0276722
+0.0281659
+0.0281214
+0.0281827
+0.0283419
+0.0285966
+0.0280503
+0.0276329
+0.0273849
+0.0273099
+0.0273781
+0.0276198
+0.0280312
+0.0286048
+0.0293313
+0.0301995
+0.0311977
+0.0323137
+0.0335359
+0.0348531
+0.0362549
+0.0377318
+0.0392755
+0.0408649
+0.0425001
+0.0441834
+0.0459095
+0.0795679
+0.078134
+0.0767358
+0.0753753
+0.0740547
+0.0725982
+0.0711427
+0.0697257
+0.068327
+0.066921
+0.065558
+0.0642409
+0.0629725
+0.0617535
+0.0605888
+0.0593647
+0.0580778
+0.0568462
+0.0556639
+0.0545416
+0.0533951
+0.0522986
+0.05127
+0.0502978
+0.0492707
+0.0482896
+0.047298
+0.0463757
+0.0455402
+0.044791
+0.044012
+0.0432277
+0.0425083
+0.0417458
+0.041086
+0.0405309
+0.0396126
+0.0385083
+0.0374657
+0.0365249
+0.0356164
+0.0348216
+0.0341391
+0.0335685
+0.0331081
+0.0327848
+0.0326058
+0.0325734
+0.0326664
+0.0328988
+0.0332446
+0.0337034
+0.0342928
+0.0350024
+0.0342719
+0.0333208
+0.0320941
+0.0309625
+0.0299487
+0.0290648
+0.0283233
+0.0274982
+0.0265287
+0.0257097
+0.0250429
+0.0245536
+0.024253
+0.0241482
+0.0242417
+0.02453
+0.0247906
+0.0248634
+0.0251277
+0.0255723
+0.0259982
+0.0259488
+0.0260153
+0.0261732
+0.0264408
+0.0259262
+0.025474
+0.0252048
+0.0251234
+0.0251976
+0.02546
+0.0259056
+0.0265253
+0.0273071
+0.0282377
+0.0293028
+0.0304883
+0.0317807
+0.0331677
+0.0346377
+0.0361808
+0.0377737
+0.0394154
+0.0411083
+0.0428463
+0.0446242
+0.0782761
+0.0768582
+0.0754364
+0.0740521
+0.0727074
+0.0714047
+0.0699253
+0.0684831
+0.0670815
+0.065696
+0.0643071
+0.0629638
+0.061669
+0.060426
+0.0592355
+0.058103
+0.0568472
+0.0555884
+0.0543887
+0.053241
+0.0521295
+0.0510215
+0.0499665
+0.0489869
+0.0480019
+0.0470088
+0.0460357
+0.0450973
+0.0442377
+0.0434715
+0.0427219
+0.0419431
+0.0412358
+0.0404918
+0.0398112
+0.0392413
+0.038556
+0.0374362
+0.0363718
+0.0354019
+0.0344638
+0.0336418
+0.032935
+0.0323432
+0.031877
+0.031541
+0.0313549
+0.0313212
+0.0314166
+0.0316581
+0.0320358
+0.0325116
+0.0331222
+0.0333692
+0.0323252
+0.0313995
+0.0302764
+0.0290778
+0.0279958
+0.0270483
+0.0262498
+0.0255921
+0.0245474
+0.02366
+0.022939
+0.0224037
+0.0220739
+0.0219587
+0.0220615
+0.0223726
+0.0226414
+0.0227211
+0.0230101
+0.0234854
+0.0238348
+0.0237796
+0.0238521
+0.0240084
+0.0242911
+0.0238142
+0.0233212
+0.0230268
+0.0229377
+0.0230189
+0.0233059
+0.0237919
+0.0244652
+0.0253108
+0.026312
+0.0274519
+0.0287139
+0.0300827
+0.0315444
+0.0330866
+0.0346839
+0.0363331
+0.038037
+0.0397886
+0.0415818
+0.0434115
+0.0770047
+0.0755774
+0.074179
+0.0727707
+0.0714019
+0.0700749
+0.0687561
+0.0672889
+0.0658618
+0.0644776
+0.0631073
+0.061738
+0.060417
+0.0591477
+0.0579334
+0.0567749
+0.0556756
+0.0543897
+0.0531629
+0.0519996
+0.0508915
+0.0497825
+0.0487198
+0.0477217
+0.0467976
+0.045782
+0.044844
+0.0438848
+0.0430025
+0.0422139
+0.0415021
+0.0407357
+0.0400072
+0.0393172
+0.0386187
+0.0380309
+0.0375619
+0.0364477
+0.0353775
+0.034382
+0.0334153
+0.0325668
+0.0318362
+0.0312236
+0.0307527
+0.0304044
+0.0302113
+0.0301763
+0.0302739
+0.0305244
+0.0309236
+0.0314163
+0.0320515
+0.031503
+0.0304117
+0.0294259
+0.0284968
+0.027239
+0.0260808
+0.025061
+0.024197
+0.023506
+0.0226049
+0.0216379
+0.0208529
+0.0202627
+0.0198974
+0.0197695
+0.0198837
+0.0202221
+0.0205011
+0.020589
+0.0209075
+0.0214193
+0.0216769
+0.0216147
+0.0216931
+0.0218483
+0.0221336
+0.0217179
+0.021176
+0.0208514
+0.020753
+0.0208428
+0.0211593
+0.0216935
+0.0224299
+0.0233492
+0.024431
+0.0256546
+0.0270008
+0.0284521
+0.0299933
+0.0315956
+0.0332536
+0.0349704
+0.0367375
+0.0385482
+0.0403965
+0.0422776
+0.0757188
+0.0743245
+0.0729105
+0.0715335
+0.0701406
+0.0687893
+0.067482
+0.0661457
+0.0646934
+0.0632837
+0.0619194
+0.0605666
+0.0592195
+0.0579239
+0.0566835
+0.0555015
+0.0543795
+0.0532542
+0.0520006
+0.0508107
+0.0496886
+0.0486095
+0.0475205
+0.0465093
+0.0455738
+0.0446283
+0.0436693
+0.0427432
+0.0418391
+0.0410281
+0.0403201
+0.039606
+0.0388632
+0.038218
+0.0375163
+0.036911
+0.0364276
+0.0355669
+0.0344693
+0.033472
+0.0324808
+0.0316073
+0.0308542
+0.0302216
+0.0297374
+0.0293813
+0.0291814
+0.0291452
+0.0292508
+0.0295101
+0.0299114
+0.0304205
+0.030744
+0.0296704
+0.0285237
+0.0274851
+0.0265715
+0.025441
+0.0242126
+0.0231104
+0.0221706
+0.0214144
+0.0207119
+0.019652
+0.0187887
+0.0181335
+0.0177244
+0.0175807
+0.017709
+0.0180814
+0.0183725
+0.0184707
+0.018825
+0.0193806
+0.0195262
+0.0194556
+0.0195234
+0.0196848
+0.0199756
+0.0196421
+0.0190413
+0.0186796
+0.0185698
+0.0186701
+0.0190228
+0.0196153
+0.0204267
+0.0214322
+0.0226058
+0.023923
+0.0253612
+0.0269012
+0.0285095
+0.0301781
+0.0319098
+0.0336951
+0.0355258
+0.0373952
+0.0392978
+0.041229
+0.0744435
+0.0730615
+0.0716779
+0.0702789
+0.0689212
+0.0675502
+0.0662184
+0.0649333
+0.063579
+0.062144
+0.0607541
+0.0594125
+0.05808
+0.0567584
+0.0554919
+0.0542843
+0.0531391
+0.0520584
+0.0509061
+0.04969
+0.0485423
+0.0474611
+0.0463938
+0.0453575
+0.044398
+0.0435162
+0.0425718
+0.0416656
+0.0407563
+0.0399275
+0.0391995
+0.0385489
+0.0378105
+0.0371551
+0.0365015
+0.03589
+0.0353926
+0.0348018
+0.0336793
+0.0326579
+0.0316706
+0.0307741
+0.0300002
+0.0293492
+0.0288504
+0.028483
+0.0282768
+0.0282394
+0.0283515
+0.0286189
+0.0290295
+0.0291288
+0.0286499
+0.0278855
+0.0266663
+0.0255726
+0.0246006
+0.0237033
+0.0223967
+0.0212069
+0.0201785
+0.0193446
+0.018731
+0.0177144
+0.0167516
+0.0160209
+0.0155563
+0.0153924
+0.0155388
+0.0159542
+0.0162606
+0.0163713
+0.016765
+0.0173788
+0.0173855
+0.0173045
+0.0173591
+0.017528
+0.0178245
+0.0175942
+0.0169209
+0.0165128
+0.0163885
+0.0165022
+0.0169002
+0.0175644
+0.0184661
+0.0195726
+0.0208512
+0.0222723
+0.0238105
+0.0254263
+0.0271076
+0.0288574
+0.0306638
+0.0325176
+0.0344109
+0.0363377
+0.0382929
+0.0402723
+0.0732008
+0.0718016
+0.0704402
+0.0690689
+0.0676869
+0.0663485
+0.0650042
+0.0636946
+0.0624344
+0.0610617
+0.0596466
+0.0582795
+0.0569638
+0.0556547
+0.0543625
+0.0531292
+0.0519591
+0.0508557
+0.0498218
+0.048637
+0.0474638
+0.0463563
+0.0452952
+0.0442841
+0.0433012
+0.0423966
+0.0415413
+0.0406269
+0.0397456
+0.0389149
+0.0381719
+0.0375378
+0.0368452
+0.0361866
+0.0355854
+0.034972
+0.0344637
+0.0340751
+0.033016
+0.0319735
+0.0309943
+0.0300776
+0.0292855
+0.0286183
+0.0281065
+0.0277291
+0.0275172
+0.0274788
+0.0275939
+0.0278686
+0.027663
+0.027071
+0.0265713
+0.0261221
+0.0248545
+0.0236865
+0.0226609
+0.0217739
+0.0206353
+0.0193641
+0.0182321
+0.0173046
+0.0166159
+0.0158398
+0.0147586
+0.0139325
+0.0133956
+0.013205
+0.0133752
+0.0138469
+0.0141725
+0.0142994
+0.0147336
+0.0154136
+0.0152591
+0.0151644
+0.0152023
+0.0153808
+0.0156844
+0.0155853
+0.0148209
+0.0143532
+0.0142101
+0.0143412
+0.0147974
+0.0155517
+0.0165634
+0.0177886
+0.0191865
+0.0207221
+0.0223472
+0.0240442
+0.0258157
+0.0276474
+0.0295279
+0.0314487
+0.0334027
+0.0353844
+0.0373895
+0.0394143
+0.0720033
+0.0705804
+0.0691975
+0.0678572
+0.0665018
+0.0651391
+0.0638225
+0.0625081
+0.0612235
+0.0599913
+0.0586001
+0.057208
+0.0558671
+0.0545812
+0.0532993
+0.0520408
+0.0508456
+0.0497182
+0.0486625
+0.0476294
+0.0464625
+0.0453306
+0.0442448
+0.0432429
+0.0422896
+0.0413628
+0.0405334
+0.0396637
+0.0388271
+0.0379816
+0.0372352
+0.0365849
+0.0359789
+0.0353183
+0.0347623
+0.0341486
+0.0336279
+0.0332434
+0.0324872
+0.0314271
+0.0304587
+0.0295276
+0.0287205
+0.0280399
+0.0275173
+0.0271315
+0.0269149
+0.0268757
+0.0269934
+0.02648
+0.0256747
+0.0250357
+0.0245122
+0.0240814
+0.0230729
+0.0218423
+0.0207413
+0.0198057
+0.0189636
+0.0175779
+0.0163477
+0.0153064
+0.0145232
+0.0140184
+0.0128301
+0.0118755
+0.0112465
+0.0110187
+0.0112189
+0.01177
+0.0121143
+0.0122689
+0.0127551
+0.0133292
+0.0131537
+0.0130332
+0.0130568
+0.0132478
+0.0135577
+0.0136324
+0.0127514
+0.0122047
+0.0120362
+0.0121908
+0.0127244
+0.0135941
+0.0147408
+0.0161052
+0.017637
+0.0192742
+0.020991
+0.0227893
+0.0246512
+0.0265632
+0.0285154
+0.0305
+0.0325111
+0.034544
+0.0365942
+0.0386593
+0.0707986
+0.0694069
+0.0680001
+0.0666357
+0.0653163
+0.0639771
+0.0626409
+0.0613489
+0.0600681
+0.0588117
+0.0576097
+0.0562014
+0.0548359
+0.0535253
+0.0522728
+0.0510233
+0.0498037
+0.0486521
+0.0475737
+0.0465722
+0.0455314
+0.0443893
+0.04328
+0.0422552
+0.0413212
+0.0404214
+0.0395722
+0.0388004
+0.0379448
+0.0371542
+0.0363908
+0.0357252
+0.0351801
+0.0345615
+0.0340058
+0.0334486
+0.0329169
+0.0325239
+0.0320995
+0.0310262
+0.0300458
+0.0291108
+0.0282999
+0.0276213
+0.0270904
+0.0267009
+0.0264807
+0.0264409
+0.0255818
+0.0245914
+0.0237221
+0.023029
+0.022478
+0.0220074
+0.0213428
+0.0200324
+0.0188579
+0.017848
+0.0170197
+0.0158865
+0.0145377
+0.0133686
+0.0124643
+0.0118894
+0.0109823
+0.00987026
+0.00911729
+0.00883476
+0.00906981
+0.00974304
+0.010087
+0.0103042
+0.0108584
+0.0112587
+0.0110696
+0.0109167
+0.0109292
+0.0111373
+0.0114022
+0.0116325
+0.0107303
+0.0100745
+0.00986974
+0.0100578
+0.0106983
+0.0117194
+0.0130321
+0.0145576
+0.0162098
+0.0179533
+0.0197851
+0.0216836
+0.0236327
+0.0256209
+0.0276397
+0.0296823
+0.0317436
+0.0338211
+0.0359121
+0.0380143
+0.0696044
+0.0682178
+0.0668444
+0.0654552
+0.0641108
+0.062814
+0.0614849
+0.0601843
+0.0589253
+0.0576748
+0.0564468
+0.0552634
+0.0538742
+0.0525396
+0.051263
+0.0500429
+0.0488378
+0.047663
+0.0465616
+0.0455391
+0.0445354
+0.0435381
+0.0424064
+0.04136
+0.0404053
+0.039549
+0.0387113
+0.0379505
+0.0371708
+0.0364088
+0.0356555
+0.0349817
+0.0344283
+0.0339218
+0.0333632
+0.0328466
+0.032319
+0.0319191
+0.0316578
+0.0307757
+0.0297877
+0.0288443
+0.0280257
+0.0273404
+0.0268039
+0.0264118
+0.0261892
+0.0249946
+0.0238034
+0.0227362
+0.0218147
+0.0210589
+0.0204762
+0.0199584
+0.0196711
+0.0182888
+0.0170128
+0.0159171
+0.0150366
+0.0142521
+0.0128196
+0.0115218
+0.010459
+0.00977885
+0.00921685
+0.00796336
+0.00702591
+0.00665518
+0.00694655
+0.00780512
+0.00814048
+0.00839408
+0.0090839
+0.00923694
+0.00901738
+0.00883302
+0.00882556
+0.0090489
+0.00926325
+0.00945253
+0.00878167
+0.00797701
+0.00771695
+0.00795621
+0.00875184
+0.00997428
+0.0114881
+0.0131543
+0.0149392
+0.016815
+0.0187583
+0.020751
+0.02278
+0.0248345
+0.0269104
+0.0290032
+0.0311095
+0.0332267
+0.0353528
+0.0374864
+0.0684594
+0.0670554
+0.06568
+0.064323
+0.0629544
+0.0616333
+0.0603628
+0.05905
+0.057776
+0.0565498
+0.0553316
+0.0541352
+0.0529738
+0.051628
+0.0503283
+0.049085
+0.0479096
+0.0467549
+0.045629
+0.0445815
+0.0436177
+0.0426233
+0.04163
+0.0405635
+0.0395896
+0.0387153
+0.0379475
+0.0371812
+0.0364907
+0.0357161
+0.0350212
+0.0343482
+0.0337985
+0.0333383
+0.0328366
+0.0323283
+0.0318395
+0.031446
+0.0311891
+0.0306512
+0.0296851
+0.0287428
+0.0279212
+0.0272333
+0.0266946
+0.0262631
+0.024761
+0.0233671
+0.0220991
+0.0209453
+0.0199656
+0.0191369
+0.0185148
+0.017943
+0.0176228
+0.016633
+0.0152526
+0.0140273
+0.0130493
+0.0122606
+0.0112319
+0.00977233
+0.00854517
+0.00769782
+0.00733594
+0.00615653
+0.00500196
+0.00448643
+0.00488321
+0.00604245
+0.0063248
+0.00664786
+0.00750006
+0.00728206
+0.00703286
+0.0067961
+0.00676622
+0.00695268
+0.0071498
+0.00727795
+0.00689898
+0.00594712
+0.00559364
+0.00591956
+0.00695232
+0.00843936
+0.0101215
+0.0119606
+0.0138998
+0.0158986
+0.0179396
+0.0200113
+0.0221059
+0.0242176
+0.0263422
+0.0284768
+0.0306193
+0.0327682
+0.0349223
+0.0370806
+0.0673663
+0.065939
+0.0645545
+0.063192
+0.0618541
+0.0605089
+0.0592143
+0.0579716
+0.0566734
+0.0554251
+0.0542367
+0.0530619
+0.0519056
+0.050763
+0.0494731
+0.0482077
+0.0470104
+0.0458865
+0.0447669
+0.0436988
+0.0427164
+0.0417737
+0.0408569
+0.0398716
+0.0388804
+0.0379897
+0.037207
+0.0365087
+0.035832
+0.0351417
+0.0344762
+0.0338315
+0.0332789
+0.0328633
+0.0324391
+0.0319515
+0.0314883
+0.0311065
+0.0308472
+0.0306821
+0.0297169
+0.028808
+0.0279884
+0.0273021
+0.0265385
+0.0248857
+0.0233215
+0.0218383
+0.0204799
+0.0192373
+0.018166
+0.017279
+0.016606
+0.0159737
+0.0156132
+0.0151139
+0.01358
+0.0122382
+0.0111038
+0.0103156
+0.00953388
+0.0082045
+0.00677135
+0.00569954
+0.00523945
+0.00438105
+0.0031527
+0.00235859
+0.00300588
+0.00463044
+0.00470551
+0.00523419
+0.00582577
+0.00544972
+0.00516534
+0.00487834
+0.00476654
+0.00492757
+0.00501614
+0.00511634
+0.0051982
+0.00398524
+0.00351083
+0.00404717
+0.00543943
+0.00714512
+0.00905904
+0.011076
+0.0131421
+0.0152362
+0.0173542
+0.0194882
+0.0216336
+0.0237872
+0.0259471
+0.0281117
+0.0302801
+0.0324514
+0.0346252
+0.036801
+0.0662645
+0.0648692
+0.0634697
+0.0621074
+0.0607601
+0.0594441
+0.0581257
+0.0568613
+0.0556295
+0.0543631
+0.0531509
+0.0520028
+0.0508796
+0.049769
+0.0486492
+0.0474155
+0.0461976
+0.0450534
+0.0439886
+0.0429098
+0.0419089
+0.0409929
+0.0400679
+0.0392429
+0.0382835
+0.0373787
+0.0365828
+0.0359032
+0.0352625
+0.034696
+0.0340221
+0.0334399
+0.0328889
+0.0324709
+0.0321394
+0.031696
+0.031287
+0.0309027
+0.0306417
+0.0305202
+0.0299096
+0.0290389
+0.0282259
+0.0271657
+0.025365
+0.0236303
+0.0219771
+0.0204254
+0.0189714
+0.0176363
+0.0164612
+0.0155061
+0.0147546
+0.01407
+0.013644
+0.0135228
+0.0120743
+0.0105534
+0.00926822
+0.00830769
+0.00755607
+0.0067748
+0.0052392
+0.00391161
+0.00326893
+0.00281349
+0.00134735
+0.000518689
+0.00184377
+0.00320752
+0.00332312
+0.00390542
+0.00410241
+0.003783
+0.00350362
+0.00321827
+0.00295343
+0.00297493
+0.00296354
+0.00299205
+0.00301168
+0.00230473
+0.00163573
+0.00265122
+0.00434243
+0.006346
+0.00844306
+0.0105704
+0.0127107
+0.0148657
+0.0170298
+0.0191999
+0.0213742
+0.0235516
+0.0257312
+0.0279126
+0.0300953
+0.0322791
+0.0344638
+0.0366491
+0.0651973
+0.0637876
+0.0624133
+0.0610578
+0.0597172
+0.0583913
+0.0571004
+0.0558128
+0.0545827
+0.0533607
+0.0521346
+0.0509636
+0.0498614
+0.0487885
+0.0477249
+0.0466441
+0.0454759
+0.0443131
+0.0432125
+0.0421931
+0.0412023
+0.0402736
+0.0393754
+0.0385355
+0.0377809
+0.0368878
+0.0360811
+0.0353918
+0.0348218
+0.0342521
+0.0336932
+0.0331505
+0.0326329
+0.0322173
+0.0319442
+0.0315893
+0.0311931
+0.0308534
+0.030592
+0.0304703
+0.0302601
+0.0294314
+0.0280122
+0.0261542
+0.0243326
+0.0225184
+0.020777
+0.0191282
+0.017598
+0.0161742
+0.0148841
+0.0138226
+0.013002
+0.0122545
+0.0117434
+0.0116023
+0.0107588
+0.00904641
+0.00756406
+0.00642048
+0.00559431
+0.00509178
+0.00397135
+0.00253357
+0.00160628
+0.00145503
+-0.00017219
+-9.70975e-05
+0.00176827
+0.00158814
+0.00115431
+0.00227717
+0.00266797
+0.00245077
+0.00221759
+0.00198441
+0.00166034
+0.00130631
+0.00108364
+0.000906772
+0.000826354
+0.000559552
+0.000924554
+0.00228774
+0.00410216
+0.00615318
+0.0082761
+0.0104271
+0.0125918
+0.0147641
+0.0169412
+0.0191214
+0.0213038
+0.0234877
+0.0256727
+0.0278587
+0.0300453
+0.0322325
+0.0344201
+0.0366081
+0.0641245
+0.0627496
+0.0613671
+0.0600136
+0.0586929
+0.057389
+0.0560936
+0.0548318
+0.0535792
+0.0523882
+0.051179
+0.0499986
+0.0488749
+0.0478249
+0.0468033
+0.0457985
+0.0447577
+0.0436528
+0.0425312
+0.041495
+0.0405508
+0.0396589
+0.0387739
+0.0379244
+0.0371749
+0.0365219
+0.0357069
+0.0347175
+0.0337938
+0.0329899
+0.0322894
+0.0317134
+0.0312805
+0.0309967
+0.0308663
+0.0308767
+0.0309965
+0.0309451
+0.030684
+0.0305777
+0.0304461
+0.0291046
+0.0271583
+0.025252
+0.0233832
+0.0215529
+0.0197477
+0.0180049
+0.01637
+0.0148576
+0.0134796
+0.0122975
+0.0113665
+0.0105338
+0.00996265
+0.00979592
+0.00952627
+0.00768486
+0.00605318
+0.0046838
+0.0036826
+0.00306323
+0.00285241
+0.00167101
+0.00121325
+0.000210709
+-0.00110427
+0.000139789
+0.000417927
+-0.000391281
+-5.44618e-05
+0.00161354
+0.00197308
+0.00187378
+0.00186467
+0.00165677
+0.00130336
+0.00083509
+0.000215633
+-0.000429137
+-0.000856647
+6.33091e-05
+0.00144864
+0.00300279
+0.00471185
+0.00662954
+0.00866324
+0.010737
+0.0128495
+0.0149846
+0.0171337
+0.0192921
+0.0214571
+0.0236269
+0.0258001
+0.0279761
+0.0301542
+0.032334
+0.0345152
+0.0366975
+0.0630336
+0.061701
+0.0603504
+0.05901
+0.0576736
+0.0563832
+0.0551366
+0.0538641
+0.0526477
+0.0514352
+0.050289
+0.0490959
+0.0479655
+0.0468979
+0.0459073
+0.0449442
+0.0440061
+0.0430119
+0.0419533
+0.0409025
+0.0399443
+0.0390855
+0.0382607
+0.0374243
+0.0363369
+0.035066
+0.0338893
+0.0328125
+0.0318335
+0.0309788
+0.0302519
+0.0296363
+0.0291726
+0.0288682
+0.028728
+0.0287382
+0.0288669
+0.02916
+0.0296128
+0.0295522
+0.0294284
+0.0284508
+0.0264571
+0.0244971
+0.0225796
+0.0207052
+0.0188694
+0.0170898
+0.0153579
+0.0137344
+0.0122615
+0.0109995
+0.00994695
+0.0090181
+0.00837848
+0.00817952
+0.00795355
+0.00660713
+0.00464323
+0.00299288
+0.00199936
+0.00100686
+0.000997533
+-9.30056e-05
+-0.000195652
+-0.00126852
+-0.00227065
+-0.00107654
+-0.00147476
+-0.00225111
+-0.000686823
+-2.96177e-06
+0.00133626
+0.00235833
+0.00244627
+0.00246484
+0.00235738
+0.0020014
+0.00151672
+0.00121732
+0.00129906
+0.00183712
+0.00287048
+0.00431151
+0.00587187
+0.00757613
+0.00946341
+0.0114231
+0.0134538
+0.0155143
+0.0175988
+0.0197064
+0.0218303
+0.0239663
+0.0261113
+0.0282634
+0.0304209
+0.0325829
+0.0347485
+0.036917
+0.0619923
+0.0606457
+0.0593403
+0.0580175
+0.0567207
+0.0554081
+0.0541522
+0.0529573
+0.0517208
+0.0505481
+0.0493927
+0.0482747
+0.0471246
+0.0460501
+0.0450474
+0.0441241
+0.0432263
+0.0423387
+0.0413985
+0.0404202
+0.0394503
+0.0385805
+0.0375281
+0.0360521
+0.0346492
+0.0333141
+0.0320731
+0.0309377
+0.0299052
+0.0289937
+0.0282231
+0.0275769
+0.0270779
+0.0267497
+0.0265983
+0.0266081
+0.0267471
+0.0270632
+0.0275505
+0.0274615
+0.0273308
+0.0273597
+0.025921
+0.0239171
+0.021949
+0.0200271
+0.0181463
+0.0163333
+0.0145692
+0.0128887
+0.0113061
+0.00995674
+0.00882833
+0.00782884
+0.00708913
+0.0068498
+0.00648772
+0.00562831
+0.00380398
+0.00172247
+0.000130956
+-0.00066577
+-0.000562197
+-0.00169732
+-0.002249
+-0.00316254
+-0.00394524
+-0.00317381
+-0.00346182
+-0.0029792
+-0.0010442
+0.000180188
+0.00125523
+0.00259525
+0.00381652
+0.00405524
+0.00407379
+0.00380696
+0.00347196
+0.0033378
+0.00347432
+0.0038973
+0.004716
+0.00589559
+0.00734424
+0.00888514
+0.0105625
+0.0123935
+0.0143142
+0.0162793
+0.0182956
+0.0203473
+0.0224125
+0.0244977
+0.0265999
+0.0287154
+0.0308413
+0.0329757
+0.0351171
+0.0372642
+0.061012
+0.0596432
+0.0583246
+0.0570501
+0.0557591
+0.0545036
+0.0532265
+0.0520103
+0.0508594
+0.0496758
+0.0485529
+0.0474646
+0.0463719
+0.0452795
+0.0442666
+0.0433217
+0.0424689
+0.0416371
+0.0408082
+0.0394079
+0.0380823
+0.036839
+0.035677
+0.0344738
+0.0330066
+0.0316169
+0.0303065
+0.0291022
+0.0280155
+0.0270404
+0.0262124
+0.0255393
+0.0249997
+0.0246438
+0.0244794
+0.0244875
+0.0246397
+0.0249825
+0.0254959
+0.0253877
+0.0252491
+0.0252804
+0.0254988
+0.0235276
+0.0215238
+0.0195602
+0.0176296
+0.0157621
+0.0139887
+0.0123069
+0.0107029
+0.00928545
+0.00809356
+0.00709026
+0.00624192
+0.00580392
+0.00515211
+0.00430332
+0.00296576
+0.00156504
+-0.00044698
+-0.00239219
+-0.00259555
+-0.00341791
+-0.00440276
+-0.00509033
+-0.00576003
+-0.00530944
+-0.00426375
+-0.00243164
+-0.000743159
+0.000231401
+0.00119843
+0.0021808
+0.00343159
+0.00505601
+0.00603337
+0.00582188
+0.00556784
+0.00551328
+0.00565379
+0.00600872
+0.0066908
+0.00767814
+0.00894526
+0.0104152
+0.0119391
+0.013599
+0.0153824
+0.0172561
+0.0191891
+0.021155
+0.0231613
+0.0251983
+0.0272563
+0.0293245
+0.0314092
+0.0335075
+0.0356169
+0.0377356
+0.0600955
+0.0587053
+0.0573652
+0.0560786
+0.0548394
+0.0535847
+0.052376
+0.0511396
+0.0499686
+0.0488636
+0.0477365
+0.0466698
+0.0456641
+0.044596
+0.0435704
+0.0426134
+0.0417462
+0.0407373
+0.0392123
+0.0377529
+0.036367
+0.0350632
+0.033842
+0.0327204
+0.0314281
+0.0299719
+0.0285986
+0.0273191
+0.0261608
+0.0251262
+0.024233
+0.0235105
+0.0229381
+0.0225497
+0.02237
+0.022375
+0.0225482
+0.0229223
+0.0234561
+0.0233352
+0.0231875
+0.0232215
+0.0234534
+0.023338
+0.0213165
+0.0193318
+0.0173757
+0.0154776
+0.0136674
+0.0119848
+0.0104196
+0.00900812
+0.00770293
+0.00643008
+0.00508835
+0.00396295
+0.00328307
+0.00281951
+0.00184542
+0.000316679
+-0.0011662
+-0.00305006
+-0.00465705
+-0.00546187
+-0.00636549
+-0.00710582
+-0.00762095
+-0.00554324
+-0.00360199
+-0.00205444
+-0.000757698
+0.000746101
+0.00145282
+0.00194577
+0.00308835
+0.00473553
+0.0066581
+0.00791362
+0.0077054
+0.0076963
+0.00783927
+0.00815425
+0.00873716
+0.00959647
+0.0106905
+0.0120062
+0.0134879
+0.0150109
+0.0166582
+0.018406
+0.0202401
+0.0221345
+0.0240736
+0.0260393
+0.0280384
+0.0300637
+0.0321102
+0.0341714
+0.0362424
+0.0383265
+0.0592188
+0.0578353
+0.0564745
+0.0551672
+0.0539171
+0.0527182
+0.051505
+0.0503424
+0.0491595
+0.0480279
+0.0469642
+0.0459244
+0.0449077
+0.0439333
+0.0429348
+0.0419821
+0.0409017
+0.039261
+0.0376763
+0.0361549
+0.0347052
+0.0333365
+0.0320518
+0.0308651
+0.0297924
+0.0283937
+0.0269497
+0.0255991
+0.0243595
+0.0232599
+0.0222931
+0.0215056
+0.0208951
+0.0204679
+0.0202698
+0.020276
+0.0204775
+0.0208777
+0.0214461
+0.0213103
+0.0211518
+0.0211891
+0.0214362
+0.0218727
+0.0213265
+0.0193419
+0.0173961
+0.0155006
+0.0136934
+0.0120144
+0.0102779
+0.00858762
+0.00705079
+0.00540831
+0.00390915
+0.00250306
+0.00147493
+0.000997468
+0.0007414
+-0.000456235
+-0.0019862
+-0.00334987
+-0.00512503
+-0.00711152
+-0.00826242
+-0.00917181
+-0.00778596
+-0.005768
+-0.00393912
+-0.00263603
+-0.00159572
+-0.000144408
+0.000908419
+0.00222417
+0.00386669
+0.00532877
+0.0070923
+0.00904455
+0.00986536
+0.00987956
+0.010027
+0.0103064
+0.0108089
+0.0115756
+0.0125493
+0.0137403
+0.0150823
+0.0165622
+0.0180916
+0.0197295
+0.0214508
+0.0232512
+0.0251125
+0.0270203
+0.0289628
+0.0309276
+0.0329204
+0.0349364
+0.036972
+0.0390245
+0.0583909
+0.0570035
+0.0556559
+0.0543288
+0.0530591
+0.0518508
+0.0506976
+0.0495318
+0.0484018
+0.0472791
+0.0461981
+0.0451975
+0.0442216
+0.0432684
+0.0423586
+0.0412984
+0.039553
+0.0378539
+0.0362077
+0.0346219
+0.0331051
+0.0316673
+0.0303141
+0.0290566
+0.0279145
+0.0268926
+0.0253726
+0.0239366
+0.0226215
+0.021439
+0.020404
+0.0195405
+0.0188853
+0.0184115
+0.018191
+0.0181986
+0.0184345
+0.0188473
+0.0194744
+0.0193153
+0.0191504
+0.0191916
+0.0194566
+0.0199356
+0.0205931
+0.0192564
+0.0173539
+0.0154841
+0.0136648
+0.0118352
+0.0100967
+0.00840201
+0.00670088
+0.0050419
+0.00354805
+0.00215401
+0.000975778
+-2.22445e-05
+-0.00101677
+-0.00174452
+-0.00267424
+-0.00390272
+-0.0053155
+-0.00700862
+-0.00834082
+-0.00909711
+-0.00802348
+-0.00653688
+-0.0047578
+-0.00331957
+-0.00229683
+-0.00103295
+0.000351895
+0.00196217
+0.00356296
+0.00550401
+0.00758234
+0.00967041
+0.0116801
+0.012059
+0.0122158
+0.0124546
+0.0129167
+0.0136075
+0.0144846
+0.0155501
+0.0168031
+0.0181659
+0.019644
+0.0211775
+0.0228081
+0.024509
+0.0262825
+0.0281149
+0.0299931
+0.0319099
+0.0338533
+0.0358167
+0.037805
+0.0398145
+0.0575924
+0.0562238
+0.0548737
+0.0535655
+0.0522787
+0.051052
+0.0498913
+0.0487902
+0.0476784
+0.0465866
+0.0455246
+0.0445089
+0.0435797
+0.0426676
+0.0417939
+0.0400797
+0.0382823
+0.0365241
+0.0348151
+0.0331627
+0.0315759
+0.0300651
+0.0286387
+0.0273041
+0.0260854
+0.0249996
+0.023881
+0.0223616
+0.0209479
+0.019677
+0.0185752
+0.0176288
+0.016908
+0.01639
+0.0161418
+0.0161513
+0.0164177
+0.0168571
+0.0175437
+0.017351
+0.0171721
+0.017236
+0.0175273
+0.018037
+0.0187558
+0.0190969
+0.0171674
+0.0152718
+0.0134404
+0.0117137
+0.00997877
+0.00840593
+0.00689356
+0.00547179
+0.00419523
+0.00323316
+0.00228265
+0.00105721
+-4.55311e-06
+-0.00124483
+-0.00266907
+-0.00383781
+-0.0053923
+-0.0068738
+-0.00819455
+-0.0076757
+-0.00636672
+-0.0056349
+-0.0046319
+-0.00343378
+-0.00232942
+-0.00114004
+0.000427551
+0.00183369
+0.0035402
+0.00551439
+0.00760804
+0.00958299
+0.01161
+0.0136787
+0.0144052
+0.0146155
+0.0150348
+0.0156576
+0.0164592
+0.0174352
+0.0185771
+0.0198612
+0.0212538
+0.0227302
+0.0242664
+0.0258913
+0.0275761
+0.0293278
+0.0311351
+0.0329889
+0.0348788
+0.0368019
+0.0387441
+0.0407073
+0.0568249
+0.055464
+0.0541397
+0.0528273
+0.0515602
+0.050336
+0.0491584
+0.0480519
+0.0470052
+0.0459581
+0.044907
+0.0439185
+0.0429769
+0.0421279
+0.0408107
+0.0389347
+0.0370934
+0.0352804
+0.0335079
+0.0317877
+0.0301286
+0.0285413
+0.0270371
+0.0256191
+0.0243161
+0.0231475
+0.0220607
+0.0208838
+0.0193777
+0.0179963
+0.016788
+0.0157896
+0.0149806
+0.0144179
+0.0141352
+0.0141469
+0.0144306
+0.0149231
+0.015681
+0.0154477
+0.0152466
+0.0153175
+0.0156489
+0.0161875
+0.0169846
+0.017972
+0.0172029
+0.0153258
+0.0135273
+0.0118368
+0.0102581
+0.00874847
+0.00748875
+0.00581493
+0.00446928
+0.00282057
+0.00174435
+0.000363853
+-0.000685285
+-0.00140071
+-0.00244082
+-0.00357323
+-0.0046912
+-0.00604987
+-0.00700619
+-0.00594665
+-0.0051237
+-0.00397007
+-0.00383476
+-0.00319081
+-0.00206993
+-0.000888008
+0.000444099
+0.00216501
+0.00378189
+0.00551909
+0.00738439
+0.00937669
+0.0114403
+0.013535
+0.0156521
+0.016784
+0.0171705
+0.0177327
+0.0184809
+0.0193779
+0.0204278
+0.0216243
+0.02293
+0.0243442
+0.0258193
+0.0273574
+0.0289776
+0.0306494
+0.0323831
+0.0341693
+0.0360001
+0.0378684
+0.0397676
+0.0415877
+0.0560346
+0.0547238
+0.0533993
+0.0521333
+0.0508786
+0.049655
+0.0484995
+0.0473918
+0.0463467
+0.0453494
+0.0443419
+0.0433632
+0.0424451
+0.0416078
+0.0397998
+0.0378789
+0.0359867
+0.0341269
+0.0322966
+0.0305081
+0.0287753
+0.0271089
+0.0255207
+0.0240154
+0.0226208
+0.0213596
+0.0202575
+0.0191005
+0.0179209
+0.0164361
+0.0151035
+0.0139887
+0.0131361
+0.0125187
+0.0121921
+0.0122067
+0.0124844
+0.0130653
+0.013899
+0.0136184
+0.0134026
+0.0134824
+0.0138378
+0.0144337
+0.0152981
+0.0163836
+0.0174643
+0.0156296
+0.0136781
+0.0117983
+0.0100454
+0.00849813
+0.00726003
+0.00580271
+0.00444435
+0.0029373
+0.00178637
+0.000722044
+-0.000324992
+-0.00159968
+-0.00266769
+-0.00342365
+-0.00448063
+-0.00475782
+-0.0048494
+-0.00410176
+-0.00319637
+-0.00270106
+-0.00250615
+-0.00262946
+-0.00168137
+-0.000538604
+0.000639554
+0.00202255
+0.00386236
+0.00572691
+0.00764465
+0.00959022
+0.011616
+0.0136927
+0.0158001
+0.0179276
+0.0193185
+0.0198327
+0.02053
+0.0213497
+0.0223266
+0.0234396
+0.0246841
+0.0260058
+0.0274363
+0.0289103
+0.0304499
+0.032065
+0.0337273
+0.0354458
+0.0369409
+0.03821
+0.0395597
+0.0409821
+0.0553017
+0.0539977
+0.0527202
+0.0514384
+0.0502186
+0.0490384
+0.047868
+0.046771
+0.0457527
+0.0447912
+0.0438256
+0.0428574
+0.0419584
+0.0408763
+0.0388852
+0.0369167
+0.0349747
+0.0330638
+0.0311861
+0.0293366
+0.0275301
+0.0257833
+0.0241083
+0.0225087
+0.021016
+0.0196534
+0.0184496
+0.0172665
+0.0161919
+0.0150071
+0.0135644
+0.012311
+0.0113372
+0.01067
+0.010316
+0.01032
+0.0106233
+0.0112655
+0.0122091
+0.0118096
+0.01161
+0.0117026
+0.0121167
+0.012805
+0.0137499
+0.0149482
+0.0163292
+0.0154558
+0.0134683
+0.0115545
+0.00975784
+0.00815326
+0.00687324
+0.00552301
+0.00395785
+0.00241708
+0.00118599
+0.000138367
+-0.000966225
+-0.0020604
+-0.00197595
+-0.00217511
+-0.0024794
+-0.0027176
+-0.0027043
+-0.00230565
+-0.00126175
+-0.000594985
+-0.000748019
+-0.00126055
+-0.00139316
+-0.000211697
+0.00135773
+0.00253703
+0.00420395
+0.00603711
+0.00787869
+0.00986346
+0.0119206
+0.0140037
+0.0160368
+0.0181066
+0.0201816
+0.021945
+0.0225824
+0.023359
+0.0242734
+0.0253102
+0.0264709
+0.027741
+0.0290863
+0.0305297
+0.0320026
+0.0330892
+0.0340922
+0.0351917
+0.0363899
+0.0376775
+0.0390416
+0.0404134
+0.0545993
+0.0533018
+0.0520615
+0.0508184
+0.0495925
+0.0484265
+0.0473296
+0.0462198
+0.0451891
+0.0442429
+0.0433499
+0.0424579
+0.0415499
+0.0401062
+0.0380748
+0.0360621
+0.0340714
+0.0321068
+0.0301733
+0.0282773
+0.0264082
+0.0245818
+0.022819
+0.0211221
+0.0195237
+0.01805
+0.0167335
+0.0155014
+0.0143207
+0.0133665
+0.0121506
+0.010772
+0.00965847
+0.00890291
+0.00849086
+0.00849738
+0.00886872
+0.0096118
+0.0105869
+0.010066
+0.00990858
+0.0100286
+0.0104959
+0.0112956
+0.0123651
+0.013685
+0.0151745
+0.0155399
+0.0135648
+0.0116668
+0.00988805
+0.00828604
+0.00681728
+0.00506591
+0.00362468
+0.00191412
+0.000847356
+-0.00072822
+-0.000220556
+7.4326e-05
+0.000105001
+-0.00015518
+-0.000358169
+-0.000598636
+-0.000544572
+-0.000194946
+0.000499601
+0.00125577
+-0.000599975
+-0.000339554
+-0.000379325
+0.000210731
+0.0014283
+0.00296793
+0.00473754
+0.00651108
+0.00837783
+0.010175
+0.0120826
+0.0140729
+0.0161037
+0.0181613
+0.0202469
+0.0223299
+0.0244127
+0.0253983
+0.0262432
+0.0272206
+0.0283145
+0.0295161
+0.0302103
+0.0308894
+0.0317057
+0.0326328
+0.0336374
+0.0347512
+0.0359414
+0.0371117
+0.0383716
+0.0397124
+0.0539765
+0.0526637
+0.0514096
+0.0502198
+0.0490387
+0.0478676
+0.0467698
+0.0457419
+0.0447258
+0.0437656
+0.0428779
+0.0420525
+0.0412488
+0.0394211
+0.0373658
+0.0353229
+0.033288
+0.0312742
+0.0292858
+0.0273283
+0.0254089
+0.0235234
+0.021675
+0.0198806
+0.0181733
+0.0165801
+0.015137
+0.0138288
+0.0125355
+0.0114486
+0.0106432
+0.00942519
+0.00817384
+0.00727026
+0.00679711
+0.00680713
+0.00722761
+0.00801893
+0.00909677
+0.00850618
+0.00831565
+0.00850093
+0.00903733
+0.00996768
+0.0111763
+0.0126087
+0.0142148
+0.0158757
+0.0139481
+0.0121104
+0.010309
+0.00848614
+0.00688128
+0.00503467
+0.00352679
+0.0021937
+0.00105633
+0.000568222
+0.0015741
+0.00211244
+0.00213054
+0.00194925
+0.00176636
+0.00156155
+0.00163552
+0.00196532
+0.00229729
+0.000918269
+-0.00020476
+0.00032699
+0.000858557
+0.00103116
+0.00169664
+0.00327907
+0.00500467
+0.00683891
+0.00873914
+0.0104961
+0.0123543
+0.014262
+0.0162274
+0.0182188
+0.0202505
+0.0223123
+0.0243966
+0.026498
+0.0282442
+0.0286882
+0.0289483
+0.0293497
+0.0298882
+0.0305745
+0.0313989
+0.0322819
+0.0331741
+0.0341588
+0.0352523
+0.0364448
+0.0377268
+0.0390732
+0.0534363
+0.0521099
+0.0508421
+0.0496387
+0.0485044
+0.0473949
+0.0462859
+0.0452497
+0.0442799
+0.0433767
+0.0424809
+0.041681
+0.0408809
+0.0388458
+0.0367583
+0.0346824
+0.032617
+0.0305691
+0.0285392
+0.0265267
+0.0245447
+0.0225924
+0.0206716
+0.0188099
+0.016999
+0.0152838
+0.0137049
+0.0122884
+0.010848
+0.00962238
+0.00869916
+0.00816435
+0.00693165
+0.00587918
+0.00537323
+0.0052401
+0.00563488
+0.00657711
+0.00782129
+0.00717349
+0.00693754
+0.0071226
+0.00782072
+0.00889605
+0.0102117
+0.0117578
+0.0134475
+0.0152548
+0.0143815
+0.0123843
+0.0104648
+0.00867435
+0.00708698
+0.00549135
+0.00409386
+0.00334683
+0.00256154
+0.00275097
+0.00348775
+0.00406271
+0.00414117
+0.00405026
+0.00387338
+0.0037251
+0.0038226
+0.00289293
+0.00165489
+0.000653868
+7.32019e-05
+0.000984561
+0.00151315
+0.00187203
+0.00229142
+0.00362886
+0.00543853
+0.00715298
+0.00905366
+0.010849
+0.0126501
+0.0145035
+0.0164401
+0.0184337
+0.0204662
+0.0225088
+0.0245765
+0.0266637
+0.0283979
+0.0285176
+0.0287793
+0.029183
+0.0296885
+0.0302875
+0.0309319
+0.0316916
+0.032574
+0.0335763
+0.0346706
+0.0358389
+0.0370998
+0.0384443
+0.0529113
+0.0516214
+0.0503636
+0.0491485
+0.0480026
+0.0469311
+0.0458829
+0.0448405
+0.043878
+0.0429889
+0.0421889
+0.0413876
+0.0399407
+0.0379648
+0.0360137
+0.0340899
+0.0320693
+0.029984
+0.0279149
+0.0258657
+0.0238418
+0.0218367
+0.0198429
+0.0178953
+0.0160105
+0.0142088
+0.0124947
+0.0109217
+0.00937106
+0.00793809
+0.00685172
+0.00621657
+0.00604645
+0.00481365
+0.00409718
+0.00389238
+0.00432835
+0.00535061
+0.00676411
+0.0062039
+0.00587693
+0.00605758
+0.00677241
+0.00798638
+0.00950958
+0.0111774
+0.0129254
+0.0147917
+0.0148113
+0.0128622
+0.0110043
+0.00929255
+0.00782348
+0.00657943
+0.00544048
+0.00496676
+0.00458607
+0.00493625
+0.00542636
+0.00595339
+0.00621417
+0.00615806
+0.00601263
+0.00589843
+0.00460142
+0.00296714
+0.00197807
+0.00155973
+0.00115036
+0.00129265
+0.00222999
+0.00265347
+0.0030931
+0.00428194
+0.00593015
+0.00773534
+0.00956705
+0.011304
+0.0131604
+0.0150631
+0.0169359
+0.0188772
+0.0208679
+0.0228809
+0.0249235
+0.0269893
+0.0283951
+0.0284613
+0.0286187
+0.0289416
+0.0293319
+0.0298138
+0.0304112
+0.0311484
+0.0320188
+0.0330118
+0.0341014
+0.0352885
+0.0365684
+0.0379318
+0.0524723
+0.0511714
+0.049929
+0.048734
+0.0475965
+0.0465156
+0.0455146
+0.0445079
+0.0435662
+0.0426874
+0.0418868
+0.0411389
+0.0391008
+0.0370801
+0.0350798
+0.0331036
+0.0311562
+0.0292305
+0.0273383
+0.0253615
+0.0232937
+0.0212507
+0.0192293
+0.0172124
+0.0152434
+0.0133438
+0.0115477
+0.00985714
+0.00811113
+0.00649976
+0.00522502
+0.00445225
+0.00421711
+0.00425759
+0.00336041
+0.00295041
+0.00339208
+0.00452234
+0.00612048
+0.00545015
+0.00496744
+0.00517858
+0.00601036
+0.00735558
+0.00900022
+0.0108383
+0.0126951
+0.0145896
+0.0154905
+0.0136387
+0.0119027
+0.0103407
+0.00903682
+0.00804654
+0.00719739
+0.00683043
+0.0067107
+0.00699083
+0.0074711
+0.0079787
+0.00831248
+0.00826224
+0.00817475
+0.00658978
+0.0047315
+0.00317725
+0.00217732
+0.00132735
+0.000868625
+0.00138501
+0.00242337
+0.00340973
+0.00369813
+0.0048561
+0.00633168
+0.0079725
+0.00980471
+0.0117409
+0.0136563
+0.0155576
+0.0174822
+0.0194525
+0.0214646
+0.0234454
+0.0254427
+0.0274694
+0.0282477
+0.0282698
+0.0284315
+0.028562
+0.0288588
+0.0293167
+0.0299215
+0.0306704
+0.031554
+0.032548
+0.0336474
+0.0348056
+0.0360574
+0.0373942
+0.0520541
+0.0507912
+0.0495609
+0.0483735
+0.0472408
+0.046182
+0.0451872
+0.0442343
+0.0433051
+0.0424555
+0.0416926
+0.0404419
+0.0383677
+0.0363062
+0.0342608
+0.0322344
+0.030231
+0.0282554
+0.026309
+0.0243868
+0.0225138
+0.0207032
+0.0188042
+0.0167679
+0.0147593
+0.0127938
+0.0109075
+0.00907094
+0.00718643
+0.00536054
+0.00379958
+0.00284275
+0.00243917
+0.00286831
+0.0032369
+0.00268347
+0.00301741
+0.00379879
+0.0050186
+0.00450527
+0.00420409
+0.00466856
+0.00574666
+0.00720618
+0.00891369
+0.0107742
+0.0127054
+0.0145951
+0.0164357
+0.0147035
+0.0131092
+0.0117083
+0.0105182
+0.00968045
+0.00913163
+0.00884528
+0.00886754
+0.00909728
+0.00958057
+0.010063
+0.0103429
+0.0103614
+0.00870135
+0.00675986
+0.00492551
+0.00342091
+0.00258476
+0.00196105
+0.00143113
+0.00131327
+0.00249215
+0.00396483
+0.00435092
+0.00541538
+0.00679393
+0.00834276
+0.0101081
+0.0119954
+0.0138894
+0.0158095
+0.0177914
+0.0198174
+0.0218621
+0.0238729
+0.025913
+0.0279758
+0.0281574
+0.028104
+0.0280794
+0.0282116
+0.028512
+0.0289753
+0.0295863
+0.0303435
+0.031174
+0.0321205
+0.0331849
+0.0343561
+0.0356237
+0.0369433
+0.0517038
+0.0504321
+0.0492252
+0.0480878
+0.0469572
+0.0458919
+0.0449082
+0.0439696
+0.0431013
+0.0422896
+0.041527
+0.0398506
+0.0377442
+0.035648
+0.0335638
+0.0314939
+0.0294401
+0.0274075
+0.0254013
+0.0234281
+0.0214767
+0.0195704
+0.0177299
+0.0159748
+0.0143178
+0.0125401
+0.0105994
+0.00869761
+0.00666117
+0.00466544
+0.00287697
+0.00158256
+0.00097923
+0.00133754
+0.00240602
+0.00255241
+0.00228527
+0.00282212
+0.00397817
+0.00358853
+0.0035497
+0.00417307
+0.00538747
+0.00699157
+0.00880336
+0.0107518
+0.012738
+0.014766
+0.016786
+0.015999
+0.0145474
+0.0132558
+0.0122146
+0.011501
+0.0111611
+0.010928
+0.0110377
+0.011236
+0.0117199
+0.0121847
+0.0124168
+0.0105498
+0.00853868
+0.00661334
+0.00484994
+0.00352348
+0.00280109
+0.00190614
+0.0016309
+0.00192951
+0.00271778
+0.00423581
+0.00472331
+0.00583835
+0.00726551
+0.0089118
+0.010667
+0.0125598
+0.0144414
+0.0162966
+0.0182257
+0.0202081
+0.0222297
+0.0242806
+0.026354
+0.0282138
+0.0280032
+0.0278695
+0.0278309
+0.0279571
+0.0282275
+0.0286633
+0.0292571
+0.0299995
+0.030823
+0.0317437
+0.0327846
+0.0339084
+0.0351329
+0.0364481
+0.0514445
+0.0501663
+0.0489528
+0.0478089
+0.0467397
+0.0457013
+0.0447134
+0.0438129
+0.0429415
+0.0421659
+0.0414732
+0.0393725
+0.037239
+0.0351127
+0.0329947
+0.0308869
+0.0287914
+0.0267113
+0.0246501
+0.0226115
+0.020599
+0.0186252
+0.0166831
+0.0148079
+0.0130109
+0.0113431
+0.00983442
+0.00853617
+0.00664407
+0.0045799
+0.00268339
+0.00115237
+0.000266769
+0.000330409
+0.00133108
+0.00231109
+0.0017228
+0.0019471
+0.00293125
+0.00240493
+0.00276093
+0.00384782
+0.00532906
+0.00702797
+0.00893141
+0.0109004
+0.0129042
+0.0149605
+0.0170196
+0.0174741
+0.0161244
+0.0149625
+0.0140484
+0.0134326
+0.0131571
+0.013044
+0.0132135
+0.0133907
+0.0138506
+0.0142134
+0.0122802
+0.0102699
+0.00831838
+0.00651435
+0.00499556
+0.00391795
+0.00329172
+0.00241243
+0.00166024
+0.0016569
+0.00271805
+0.00449325
+0.00523391
+0.00628974
+0.00780208
+0.0094063
+0.0111515
+0.013005
+0.01495
+0.0169152
+0.0189036
+0.0208232
+0.0227902
+0.0247948
+0.0268285
+0.0280943
+0.0277669
+0.0275545
+0.0275154
+0.0276504
+0.0279495
+0.0283896
+0.028961
+0.0296169
+0.0304166
+0.0313247
+0.032351
+0.0334893
+0.0347287
+0.0360586
+0.0512553
+0.0499951
+0.0487773
+0.0476292
+0.046556
+0.0455575
+0.0446158
+0.0437231
+0.0428846
+0.0421076
+0.0411644
+0.0390116
+0.0368573
+0.0347076
+0.0325633
+0.0304256
+0.028296
+0.0261765
+0.0240698
+0.0219785
+0.0199007
+0.0178498
+0.0158365
+0.013877
+0.0119652
+0.0101266
+0.00845448
+0.00695008
+0.00573125
+0.00436361
+0.00329363
+0.00171796
+0.000553692
+0.000102817
+0.000221502
+0.000901459
+0.0011443
+0.000969617
+0.00213459
+0.00177277
+0.00204264
+0.00326231
+0.00499202
+0.00690131
+0.00893048
+0.011015
+0.0131269
+0.0152479
+0.0173561
+0.0190649
+0.0178257
+0.016782
+0.0159723
+0.0154335
+0.0151944
+0.0151685
+0.0153145
+0.0155495
+0.0152159
+0.0135025
+0.0116044
+0.00971928
+0.00798001
+0.00626342
+0.00459872
+0.00324101
+0.00269798
+0.00242172
+0.00177854
+0.00187704
+0.003056
+0.00480354
+0.00573278
+0.00674063
+0.00819827
+0.00990365
+0.0117708
+0.0136162
+0.0154846
+0.0174283
+0.0193772
+0.0213499
+0.0233605
+0.0253999
+0.0274616
+0.0278875
+0.0275694
+0.0274115
+0.0273722
+0.0275079
+0.0278075
+0.0281573
+0.0286654
+0.029301
+0.0300783
+0.0309912
+0.0320236
+0.0331619
+0.0344021
+0.0357338
+0.0510909
+0.0498595
+0.0486821
+0.0475316
+0.0464561
+0.0454608
+0.0445312
+0.0436773
+0.0429184
+0.0421509
+0.0409141
+0.038748
+0.0365848
+0.0344251
+0.0322696
+0.030117
+0.0279639
+0.0258172
+0.0236785
+0.0215493
+0.0194256
+0.0173185
+0.0152351
+0.0131866
+0.0111794
+0.00923764
+0.00739267
+0.00568009
+0.00421376
+0.00272095
+0.00164204
+0.00141279
+0.00209186
+0.00100026
+-7.30933e-05
+-0.000747208
+0.000639561
+0.000623336
+0.00167122
+0.00164289
+0.00216121
+0.00359313
+0.00533053
+0.0072073
+0.00917761
+0.0112268
+0.0133211
+0.0154281
+0.0174145
+0.0193831
+0.0196105
+0.0186814
+0.0179575
+0.01748
+0.0172692
+0.0173083
+0.0174364
+0.0161936
+0.0142709
+0.0124123
+0.0106473
+0.00906983
+0.00725889
+0.00544499
+0.0039363
+0.00299325
+0.00302498
+0.00308101
+0.00290134
+0.00293793
+0.00389121
+0.00551422
+0.00681183
+0.00775684
+0.0090523
+0.0106214
+0.0123808
+0.014171
+0.016045
+0.0179907
+0.0199871
+0.0219534
+0.0239104
+0.0259048
+0.0279287
+0.0278484
+0.0275299
+0.0273369
+0.0272975
+0.0273874
+0.0275624
+0.0279088
+0.0284081
+0.0290444
+0.0298283
+0.0307487
+0.0317649
+0.0328586
+0.0340511
+0.035339
+0.0509573
+0.0497722
+0.0486212
+0.0475142
+0.0464382
+0.0454425
+0.0445324
+0.0437008
+0.0429423
+0.0422838
+0.0407802
+0.0386066
+0.036435
+0.0342658
+0.0320996
+0.0299369
+0.0277787
+0.0256259
+0.0234801
+0.0213374
+0.0191903
+0.0170542
+0.014934
+0.0128374
+0.0107654
+0.008732
+0.00677325
+0.00491256
+0.00324504
+0.00155505
+0.000230743
+-1.34428e-05
+0.000568901
+0.000890295
+0.000141114
+-0.000844046
+-0.000607919
+0.000192632
+0.000755576
+0.00133612
+0.0022666
+0.00402228
+0.00588721
+0.00721884
+0.00885802
+0.0106686
+0.0125748
+0.0145333
+0.0165502
+0.0183549
+0.0197223
+0.0206088
+0.0199857
+0.0195578
+0.0193696
+0.0188017
+0.0172063
+0.0156161
+0.0135975
+0.0116178
+0.00970937
+0.00794792
+0.00638542
+0.00504288
+0.00342245
+0.0023381
+0.00232064
+0.00251713
+0.00238166
+0.00276904
+0.00373287
+0.00535642
+0.00710468
+0.00821063
+0.0096126
+0.0112137
+0.0128856
+0.0146888
+0.0165855
+0.0185048
+0.0204511
+0.0223905
+0.0243551
+0.0263554
+0.0283838
+0.0278788
+0.027527
+0.0273243
+0.0272352
+0.0272891
+0.0274647
+0.0277845
+0.0282654
+0.0289048
+0.0296266
+0.0304749
+0.0314531
+0.0325496
+0.0337528
+0.0350517
+0.0507616
+0.0496632
+0.0486115
+0.0475257
+0.04649
+0.0455298
+0.0446214
+0.0437984
+0.0430449
+0.0423826
+0.0407637
+0.0385891
+0.0364165
+0.0342462
+0.0320786
+0.0299145
+0.0277544
+0.0255996
+0.0234515
+0.021312
+0.019184
+0.0170688
+0.0149401
+0.012823
+0.0107356
+0.00869905
+0.00675319
+0.00482696
+0.00295395
+0.000903361
+-0.000433544
+-0.000890959
+-0.00079618
+-0.000906754
+-0.000850302
+-0.000492634
+-0.000816894
+-0.000366819
+-0.000240584
+0.000657932
+0.00166446
+0.00307186
+0.00421344
+0.00589975
+0.00772039
+0.00966743
+0.0116746
+0.0137352
+0.0155493
+0.0170932
+0.0185289
+0.0200712
+0.0216625
+0.0213837
+0.0195355
+0.0177491
+0.0160501
+0.0144617
+0.0130489
+0.0111511
+0.00914585
+0.00724181
+0.00539453
+0.00368432
+0.00243522
+0.00227096
+0.00288498
+0.00324807
+0.00319607
+0.00346767
+0.00437401
+0.00585773
+0.00767352
+0.00883044
+0.0102381
+0.0117222
+0.0133373
+0.0150981
+0.0169595
+0.0188916
+0.0208748
+0.0228959
+0.0249089
+0.0268881
+0.0284856
+0.0279038
+0.0274849
+0.0272159
+0.027108
+0.0271768
+0.0273732
+0.0276933
+0.0281758
+0.0287356
+0.0294468
+0.0303001
+0.0312762
+0.0323653
+0.0335402
+0.0348134
+0.0506515
+0.0495591
+0.0485205
+0.0475603
+0.0465986
+0.0456471
+0.0447826
+0.043977
+0.0432369
+0.042589
+0.0408648
+0.0386959
+0.0365296
+0.0343665
+0.032207
+0.0300521
+0.0279027
+0.0257603
+0.0236268
+0.0215047
+0.0193979
+0.017312
+0.0152138
+0.0131409
+0.0111133
+0.00916112
+0.00724214
+0.00541936
+0.0034533
+0.00163907
+0.000603515
+0.000475995
+0.000424563
+-0.000120174
+-0.000621101
+-0.000723011
+-0.000587608
+-0.00108382
+-0.00101592
+-0.00021362
+0.000946699
+0.00130143
+0.00286699
+0.00477221
+0.00680798
+0.00891696
+0.0110578
+0.0128605
+0.0144631
+0.0159796
+0.0174844
+0.0191031
+0.0207614
+0.0202902
+0.0185238
+0.0168573
+0.0151187
+0.0134263
+0.0118912
+0.0105801
+0.00894459
+0.00696565
+0.00495367
+0.0029951
+0.00135495
+0.00132311
+0.00224232
+0.00263972
+0.00279012
+0.00286466
+0.00400293
+0.0057193
+0.00767587
+0.00936223
+0.0107001
+0.0122854
+0.0139541
+0.0156911
+0.0175256
+0.0194341
+0.021378
+0.0233556
+0.0253682
+0.027391
+0.0285327
+0.0279519
+0.0275173
+0.0272349
+0.0271235
+0.0271255
+0.0272517
+0.0275459
+0.0279684
+0.0285242
+0.0292269
+0.0300732
+0.0310512
+0.0321479
+0.0333305
+0.0346114
+0.0504856
+0.0495023
+0.048513
+0.0475525
+0.0466708
+0.0458496
+0.04499
+0.0442223
+0.0435181
+0.042882
+0.0410826
+0.0389259
+0.0367732
+0.0346252
+0.032483
+0.0303476
+0.0282208
+0.0261045
+0.0240016
+0.021913
+0.019839
+0.0177928
+0.0157853
+0.0137846
+0.0118236
+0.00995895
+0.00817965
+0.00638413
+0.00466472
+0.00334151
+0.00265558
+0.00258114
+0.00237585
+0.00190072
+0.00129274
+0.000434699
+-0.000375432
+-0.0010794
+-0.00179306
+-0.001519
+-0.00104232
+-0.000104334
+0.00205596
+0.00423148
+0.00641728
+0.00860558
+0.010319
+0.0119431
+0.0135062
+0.0150596
+0.0166476
+0.0183403
+0.0200143
+0.0193455
+0.0175057
+0.0157395
+0.0140929
+0.0126027
+0.0110421
+0.00962606
+0.00810173
+0.00611241
+0.00425602
+0.00276207
+0.00191172
+0.0018797
+0.00252048
+0.00282995
+0.00307564
+0.00315495
+0.00426055
+0.00594371
+0.00786902
+0.00988577
+0.0111766
+0.0127026
+0.0144012
+0.0162182
+0.0180792
+0.0199347
+0.0218523
+0.0238171
+0.0258183
+0.027848
+0.0286371
+0.0279923
+0.0275073
+0.0271907
+0.0270483
+0.0270438
+0.0271704
+0.0274655
+0.0278892
+0.0284465
+0.0291511
+0.0299901
+0.0309408
+0.03201
+0.0331719
+0.034434
+0.0504081
+0.0494232
+0.0485173
+0.047619
+0.0467445
+0.0459392
+0.0452242
+0.0445316
+0.0438483
+0.0432224
+0.0414153
+0.0392769
+0.0371445
+0.0350193
+0.0329028
+0.0307925
+0.0286911
+0.0266042
+0.0245354
+0.0224897
+0.0204739
+0.018498
+0.0165642
+0.0146478
+0.0128159
+0.0110797
+0.00940936
+0.00772369
+0.00631748
+0.00532972
+0.00479794
+0.00474298
+0.00442408
+0.00387276
+0.00293732
+0.0019655
+0.000837305
+-0.000542015
+-0.00204805
+-0.00300942
+-0.0015606
+0.000564637
+0.00243405
+0.0042153
+0.00604134
+0.00783513
+0.00954946
+0.0112153
+0.0127819
+0.0143894
+0.0160409
+0.0177727
+0.0188644
+0.0185663
+0.0166509
+0.0148114
+0.0130525
+0.0114388
+0.0100377
+0.00884679
+0.00712708
+0.00560303
+0.00354748
+0.00162683
+0.000663498
+0.00115746
+0.00165511
+0.00214758
+0.00257494
+0.00324134
+0.00464809
+0.00644849
+0.00839966
+0.0104445
+0.0118219
+0.0133229
+0.0149512
+0.0167085
+0.0185582
+0.0204753
+0.0224426
+0.0244246
+0.0263797
+0.0283693
+0.0287137
+0.0280539
+0.027553
+0.0272197
+0.0270537
+0.0270548
+0.0272055
+0.0274894
+0.0278458
+0.0283641
+0.0290388
+0.0298594
+0.0308141
+0.0318678
+0.0330113
+0.0342569
+0.0504006
+0.0494155
+0.0485095
+0.0476869
+0.0469022
+0.0461183
+0.0454077
+0.0447915
+0.0442314
+0.0436696
+0.0418597
+0.0397408
+0.037629
+0.0355268
+0.033436
+0.0313587
+0.029298
+0.0272576
+0.0252424
+0.0232589
+0.0213131
+0.0194189
+0.0175491
+0.0157537
+0.0140564
+0.0124455
+0.0108046
+0.00935003
+0.00816735
+0.00740563
+0.00696803
+0.00691357
+0.00652248
+0.0057939
+0.00471404
+0.00349504
+0.00228566
+0.000384778
+-0.00136757
+-0.00238831
+-0.00147951
+-0.000194954
+0.00173568
+0.00358033
+0.00544427
+0.00722844
+0.00905839
+0.010782
+0.0123374
+0.0139909
+0.0156879
+0.017385
+0.0178245
+0.0180057
+0.0160234
+0.014103
+0.0122734
+0.010582
+0.00907073
+0.00780882
+0.00617799
+0.00449157
+0.00325539
+0.00182778
+0.000778368
+0.000945152
+0.0012553
+0.00191196
+0.00247118
+0.00329287
+0.00482534
+0.00665996
+0.00866163
+0.0107153
+0.0125794
+0.0140052
+0.0155736
+0.017278
+0.0190741
+0.020944
+0.022871
+0.0248417
+0.0268466
+0.0288784
+0.0288413
+0.0281846
+0.0276784
+0.0273305
+0.0271555
+0.0271565
+0.0272766
+0.0274582
+0.0278072
+0.0282934
+0.0289377
+0.0297298
+0.0306583
+0.0317049
+0.0328468
+0.0340913
+0.0504765
+0.049493
+0.0485884
+0.0477672
+0.0470338
+0.0463817
+0.045694
+0.0450832
+0.0445703
+0.0441374
+0.0423922
+0.0403004
+0.0382196
+0.0361517
+0.0340992
+0.032065
+0.0300527
+0.0280669
+0.0261114
+0.0241961
+0.0223316
+0.0205002
+0.0187317
+0.0170613
+0.0154655
+0.0138932
+0.0124139
+0.0111446
+0.0101538
+0.00950465
+0.00914095
+0.00908985
+0.0086617
+0.00758535
+0.00642812
+0.00515376
+0.00338556
+0.00169642
+0.000355085
+-0.000713564
+-0.000188665
+0.000852974
+0.00199535
+0.00360884
+0.00532812
+0.00715647
+0.00889274
+0.0104708
+0.0120753
+0.013792
+0.0155904
+0.0165158
+0.016923
+0.0174401
+0.0155906
+0.013711
+0.0118209
+0.010014
+0.00832125
+0.00680849
+0.00565894
+0.00396193
+0.00216574
+0.00088574
+0.00046308
+0.00110238
+0.00169087
+0.00202921
+0.00283818
+0.00417655
+0.00558511
+0.00728779
+0.00918888
+0.0111718
+0.0132164
+0.0148988
+0.0164465
+0.0180724
+0.019804
+0.0216191
+0.0234967
+0.0254189
+0.0273815
+0.0293764
+0.0291051
+0.0284595
+0.0279501
+0.0276056
+0.0273943
+0.0272808
+0.0272765
+0.0274242
+0.0277446
+0.0282319
+0.0288776
+0.0296713
+0.0306016
+0.03165
+0.0327938
+0.0340403
+0.0506472
+0.049667
+0.0487656
+0.0479475
+0.0472169
+0.0465715
+0.0460041
+0.0454753
+0.0449704
+0.044564
+0.0430289
+0.0409697
+0.0389246
+0.0368963
+0.0348876
+0.0329013
+0.0309411
+0.0290139
+0.0271267
+0.0252885
+0.0234891
+0.021743
+0.0200843
+0.0184997
+0.0169852
+0.0154914
+0.0141737
+0.0130458
+0.0122103
+0.0115615
+0.011253
+0.0112183
+0.0105562
+0.00940893
+0.0080762
+0.00641261
+0.00477505
+0.00330276
+0.00192823
+0.000364814
+0.000258114
+0.001678
+0.00332385
+0.00444455
+0.00582297
+0.00742906
+0.00900958
+0.0105352
+0.0121731
+0.0138801
+0.0155693
+0.0158209
+0.0162314
+0.0167504
+0.0148317
+0.0129992
+0.011281
+0.00973168
+0.00791159
+0.00625457
+0.00470755
+0.00345783
+0.00204696
+1.04084e-05
+-0.000295106
+0.000399283
+0.00103676
+0.00152207
+0.00272335
+0.00414378
+0.00597138
+0.00795776
+0.0100105
+0.0119435
+0.013899
+0.0157454
+0.0172879
+0.0188943
+0.0206084
+0.0224056
+0.0242676
+0.0261579
+0.0280752
+0.0300264
+0.0294309
+0.0287387
+0.0282002
+0.0277865
+0.0274788
+0.027339
+0.0273284
+0.0274758
+0.0277956
+0.028282
+0.0289266
+0.029719
+0.0306247
+0.0316547
+0.0327989
+0.0340429
+0.0509116
+0.0499366
+0.0490402
+0.0482267
+0.0475004
+0.0468589
+0.0462951
+0.0458291
+0.0454282
+0.0450566
+0.0437661
+0.0417433
+0.0397381
+0.0377522
+0.0357895
+0.0338548
+0.0319531
+0.0300908
+0.0282756
+0.0265032
+0.0247758
+0.023127
+0.0215505
+0.0200688
+0.0185758
+0.0172205
+0.0160151
+0.0150261
+0.0142308
+0.0136571
+0.0133904
+0.0133574
+0.0123687
+0.0110514
+0.0094148
+0.00765104
+0.00597172
+0.00458042
+0.00342701
+0.00231015
+0.0020681
+0.00272075
+0.0039547
+0.00547601
+0.00662117
+0.00799996
+0.0093664
+0.0108022
+0.0122904
+0.0138173
+0.0151569
+0.0153725
+0.0157601
+0.015902
+0.0142075
+0.0124496
+0.0106424
+0.00899434
+0.00762452
+0.00605371
+0.00417839
+0.00242155
+0.00109815
+0.000151595
+0.000585575
+0.00148367
+0.00186129
+0.00231936
+0.00329452
+0.00494508
+0.00662949
+0.0084677
+0.0104331
+0.0124731
+0.014557
+0.016315
+0.0181364
+0.0197439
+0.021419
+0.0231802
+0.0250093
+0.0268905
+0.0288014
+0.0305077
+0.0297066
+0.0290215
+0.0284075
+0.0279353
+0.0276245
+0.0274566
+0.0274459
+0.0275927
+0.0279112
+0.0283956
+0.0290376
+0.0298188
+0.0307144
+0.0317362
+0.0328717
+0.0340807
+0.0512249
+0.050299
+0.0494091
+0.0486018
+0.0478812
+0.0472463
+0.0466871
+0.0462252
+0.0458633
+0.0455817
+0.0445986
+0.0426133
+0.0406492
+0.0387094
+0.0367978
+0.034919
+0.0330786
+0.031282
+0.029523
+0.027823
+0.0261828
+0.0246132
+0.0231202
+0.0216641
+0.0202786
+0.0190255
+0.0179352
+0.0170458
+0.0162776
+0.0157785
+0.0155426
+0.0153717
+0.0136797
+0.0120782
+0.0104778
+0.00882594
+0.00740948
+0.00625433
+0.00522005
+0.00431208
+0.00408971
+0.00431095
+0.00513954
+0.0062758
+0.00743567
+0.00846773
+0.00974546
+0.0110685
+0.0124501
+0.0137931
+0.0150114
+0.0152133
+0.0155783
+0.0150915
+0.0132935
+0.0116218
+0.0101384
+0.00864185
+0.00705039
+0.00566211
+0.00432804
+0.00240486
+0.000594639
+-0.000549408
+0.000155219
+0.00084187
+0.00119125
+0.00181271
+0.00325084
+0.00515267
+0.00715589
+0.00914319
+0.0111945
+0.0131708
+0.0151591
+0.0171475
+0.0188888
+0.0206465
+0.0222537
+0.0239536
+0.0257278
+0.02756
+0.0294337
+0.0309199
+0.0300378
+0.0292655
+0.0286403
+0.0281569
+0.02782
+0.0276531
+0.0276592
+0.0278071
+0.0281231
+0.0285914
+0.0291973
+0.0298965
+0.0307295
+0.0316923
+0.0327734
+0.0339616
+0.0515646
+0.050663
+0.0498365
+0.0490544
+0.0483405
+0.0477166
+0.0471778
+0.0467206
+0.0463626
+0.046106
+0.0455126
+0.0435691
+0.0416501
+0.0397591
+0.0379005
+0.0360792
+0.0342997
+0.0325566
+0.0308696
+0.0292475
+0.0276837
+0.0261825
+0.0247548
+0.0233472
+0.0220603
+0.0208987
+0.0199113
+0.0190421
+0.0183577
+0.0179141
+0.0177042
+0.0163488
+0.0147043
+0.0131594
+0.0117663
+0.0103048
+0.00907687
+0.00817277
+0.00716468
+0.00641713
+0.0060392
+0.0061675
+0.00669625
+0.00745655
+0.00835603
+0.00926884
+0.0104725
+0.0116017
+0.0128548
+0.0141131
+0.015132
+0.0153109
+0.015642
+0.0144721
+0.0126048
+0.0108591
+0.00927006
+0.00792783
+0.00681323
+0.00511382
+0.00367679
+0.00251094
+0.00138022
+0.00104575
+0.00151013
+0.00173312
+0.00196658
+0.00275612
+0.00399734
+0.00566902
+0.00759892
+0.00963961
+0.0117345
+0.0137778
+0.0157886
+0.0173506
+0.0188284
+0.020417
+0.0221031
+0.0238712
+0.0257046
+0.0275901
+0.0294266
+0.0311716
+0.0302781
+0.0295121
+0.0288922
+0.0284131
+0.0280793
+0.0279097
+0.0278824
+0.0280212
+0.0282693
+0.0286726
+0.0292134
+0.0299052
+0.030738
+0.0317005
+0.0327814
+0.0339694
+0.0519855
+0.0510843
+0.0502626
+0.0495242
+0.0488589
+0.048277
+0.0477529
+0.0473054
+0.0469554
+0.0467051
+0.0465116
+0.0446115
+0.0427394
+0.0408988
+0.0390944
+0.0373305
+0.0356012
+0.0339243
+0.0323088
+0.0307587
+0.0292524
+0.0278359
+0.0264227
+0.0251087
+0.0238964
+0.0228285
+0.0218961
+0.0210771
+0.0204608
+0.0200595
+0.0191367
+0.0174704
+0.015916
+0.0144597
+0.0131786
+0.0119698
+0.0109306
+0.0101148
+0.00913647
+0.00844799
+0.00801746
+0.00802222
+0.00833541
+0.00887306
+0.00955346
+0.0103421
+0.0114144
+0.0124243
+0.013553
+0.0147041
+0.0154908
+0.0156097
+0.0159347
+0.0141463
+0.0122294
+0.010421
+0.0087536
+0.00731725
+0.00622601
+0.00498556
+0.00314843
+0.00148003
+0.000444913
+0.000476318
+0.000991309
+0.00130333
+0.0018824
+0.00286925
+0.00445344
+0.00633835
+0.00837344
+0.0103899
+0.0123606
+0.0139481
+0.0154905
+0.0170035
+0.0185119
+0.0201413
+0.0218486
+0.0236359
+0.0254861
+0.0273393
+0.0291088
+0.0308892
+0.0306508
+0.0298802
+0.0292373
+0.0287331
+0.0283703
+0.0281208
+0.0280275
+0.0281053
+0.0283525
+0.0287648
+0.0293078
+0.0299975
+0.0308278
+0.0317749
+0.0328259
+0.0339859
+0.052464
+0.0515932
+0.0507796
+0.0500489
+0.0493907
+0.0488183
+0.0483385
+0.0479541
+0.0476257
+0.0473795
+0.0472337
+0.0457352
+0.043911
+0.0421217
+0.0403714
+0.0386544
+0.0369861
+0.0353748
+0.033823
+0.0323276
+0.0308968
+0.0295029
+0.0281623
+0.0269169
+0.025788
+0.0248017
+0.0238889
+0.0231405
+0.0225807
+0.0220001
+0.0203324
+0.0187468
+0.0172677
+0.0159346
+0.0147818
+0.0137827
+0.0128904
+0.0120349
+0.0111781
+0.0104488
+0.0100222
+0.00988228
+0.0100982
+0.0104614
+0.0109264
+0.0116105
+0.0124976
+0.0134473
+0.0144465
+0.0155716
+0.0160763
+0.0162019
+0.0161415
+0.0141559
+0.012239
+0.0103889
+0.00867484
+0.00716044
+0.00572161
+0.00454424
+0.00346275
+0.00152918
+-0.000183151
+4.36431e-05
+0.000926083
+0.00167304
+0.00235444
+0.00377551
+0.00525894
+0.00701478
+0.00892594
+0.0109183
+0.0125567
+0.0139579
+0.015467
+0.0169021
+0.0184188
+0.0200578
+0.021794
+0.0236023
+0.0254524
+0.0271742
+0.0288907
+0.030622
+0.0310008
+0.0302224
+0.0295862
+0.0290398
+0.0286161
+0.0283557
+0.0282632
+0.0283327
+0.0285456
+0.0289233
+0.0294595
+0.0301457
+0.0309635
+0.0318957
+0.0329431
+0.0340991
+0.0529393
+0.0521436
+0.051385
+0.0506629
+0.050013
+0.0494478
+0.0489741
+0.0485947
+0.0482939
+0.0480897
+0.0479848
+0.0469344
+0.0451586
+0.0434204
+0.0417142
+0.0400535
+0.038446
+0.0368931
+0.0354019
+0.0339645
+0.0325865
+0.0312246
+0.0299532
+0.0287767
+0.0277237
+0.026764
+0.0259137
+0.0252254
+0.0247128
+0.023255
+0.0216507
+0.0201466
+0.018778
+0.0175568
+0.0165023
+0.015682
+0.0149146
+0.0139994
+0.0131285
+0.0124696
+0.011991
+0.0118064
+0.0119123
+0.0120652
+0.0124665
+0.0130138
+0.0137146
+0.0145496
+0.0154985
+0.0166338
+0.0168277
+0.0169675
+0.0163987
+0.0144426
+0.0125642
+0.0107551
+0.00904405
+0.00733607
+0.00578261
+0.00428996
+0.0027071
+0.00153199
+0.00137522
+0.00180086
+0.00188378
+0.00204064
+0.0025626
+0.00380822
+0.00554626
+0.00749946
+0.00955621
+0.0110664
+0.0125576
+0.0141426
+0.015665
+0.0170834
+0.0185853
+0.0202108
+0.0219349
+0.023736
+0.0252819
+0.0269063
+0.0286064
+0.0303573
+0.0313082
+0.0305377
+0.0299081
+0.0294248
+0.0289747
+0.0286853
+0.0285615
+0.0286054
+0.0288163
+0.0291905
+0.0297219
+0.0304022
+0.0311892
+0.0320829
+0.0330952
+0.0342181
+0.0534505
+0.0526639
+0.0519579
+0.0513302
+0.0507172
+0.050165
+0.0496982
+0.0493244
+0.0490281
+0.048827
+0.0487236
+0.0482033
+0.0464758
+0.0447793
+0.0431254
+0.0415212
+0.0399674
+0.0384706
+0.0370372
+0.0356608
+0.0342933
+0.033001
+0.0317864
+0.0306803
+0.029684
+0.0287533
+0.0279635
+0.0273269
+0.0262169
+0.024602
+0.0230823
+0.0216777
+0.020408
+0.0192607
+0.0183046
+0.0175707
+0.0169153
+0.0159604
+0.015139
+0.0144261
+0.0139726
+0.0137881
+0.0136771
+0.0137694
+0.0140554
+0.0145507
+0.0150986
+0.0158613
+0.0167376
+0.0177247
+0.0177877
+0.0179011
+0.0163035
+0.0143657
+0.0125114
+0.0107755
+0.00923517
+0.00788699
+0.00637888
+0.00457448
+0.0028027
+0.00139035
+0.00106476
+0.00134575
+0.00183332
+0.00218333
+0.00268911
+0.00397627
+0.0057734
+0.00776753
+0.00981185
+0.0112331
+0.0127249
+0.01424
+0.0158307
+0.0174703
+0.0190046
+0.020597
+0.0221557
+0.0236062
+0.0251481
+0.026776
+0.0284514
+0.0301804
+0.031757
+0.0309976
+0.0303776
+0.0298274
+0.0293894
+0.0291067
+0.0289847
+0.0290281
+0.0292044
+0.0295416
+0.0300193
+0.030645
+0.0314112
+0.0322988
+0.0333046
+0.0344206
+0.0539937
+0.0532539
+0.0525557
+0.0519406
+0.0514116
+0.0509068
+0.0504652
+0.0501157
+0.0498478
+0.04965
+0.0495484
+0.0495365
+0.0478486
+0.0462007
+0.0445995
+0.0430452
+0.0415438
+0.0401059
+0.0387229
+0.0373669
+0.0360525
+0.0348115
+0.0336623
+0.0326199
+0.0316414
+0.0307699
+0.0300331
+0.0291998
+0.0275855
+0.0260556
+0.0246257
+0.0233143
+0.0221092
+0.0210548
+0.0201838
+0.019521
+0.0188761
+0.0179259
+0.017065
+0.0163932
+0.0159956
+0.0156938
+0.0155113
+0.0155793
+0.0157782
+0.0161461
+0.016629
+0.0173177
+0.0180544
+0.0189721
+0.0189368
+0.0183712
+0.0163881
+0.0144551
+0.0126067
+0.0108861
+0.00931669
+0.0078995
+0.00637006
+0.00487723
+0.00364431
+0.00256535
+0.00215172
+0.0022897
+0.00270556
+0.00317033
+0.00367545
+0.00488137
+0.00647912
+0.00831255
+0.0102867
+0.0117705
+0.0131838
+0.0146511
+0.0162344
+0.017821
+0.0192478
+0.0206526
+0.0220994
+0.0236131
+0.0251541
+0.0267641
+0.0284368
+0.0301391
+0.0318931
+0.0314958
+0.0307709
+0.030188
+0.0297541
+0.0294724
+0.029352
+0.0293948
+0.0296001
+0.0299383
+0.0304082
+0.0310234
+0.0317585
+0.0326057
+0.0335747
+0.0346553
+0.0545381
+0.0538703
+0.0532371
+0.05263
+0.052108
+0.051664
+0.0512831
+0.0509392
+0.0506877
+0.0505299
+0.0504548
+0.05045
+0.0492789
+0.0476804
+0.0461257
+0.0446203
+0.0431738
+0.0417902
+0.0404442
+0.0391105
+0.0378485
+0.0366636
+0.0355742
+0.0345659
+0.0336275
+0.0328088
+0.0321189
+0.0305919
+0.0290551
+0.0276067
+0.0262614
+0.0250171
+0.0238903
+0.0229179
+0.0221205
+0.0215174
+0.0207959
+0.0198362
+0.0190116
+0.018411
+0.0180141
+0.0175902
+0.0174105
+0.0173988
+0.0175768
+0.0178307
+0.0182776
+0.0187995
+0.0194803
+0.0203358
+0.0198376
+0.0184191
+0.0165944
+0.0148015
+0.0130135
+0.011336
+0.00976828
+0.00832472
+0.00647419
+0.00474352
+0.00333351
+0.00263694
+0.00294982
+0.00394977
+0.00442607
+0.00481663
+0.00528867
+0.00629898
+0.00770119
+0.00933672
+0.0111383
+0.0126427
+0.0139253
+0.0153218
+0.0168454
+0.018179
+0.0194518
+0.020824
+0.0222596
+0.0237925
+0.0253226
+0.0269218
+0.0285615
+0.0302568
+0.0320043
+0.0319879
+0.0312745
+0.0307011
+0.0302709
+0.0299941
+0.0298757
+0.0299178
+0.0301195
+0.0304172
+0.0308569
+0.0314243
+0.0321312
+0.0329513
+0.0338831
+0.0349158
+0.0551641
+0.054504
+0.0539249
+0.0534003
+0.0528859
+0.0524486
+0.0520914
+0.0518245
+0.0515888
+0.0514336
+0.0513715
+0.0514028
+0.0507634
+0.0492083
+0.0476997
+0.0462457
+0.0448515
+0.0435079
+0.0421744
+0.0408946
+0.0396797
+0.0385512
+0.0375167
+0.0365244
+0.0356376
+0.0348662
+0.033603
+0.0320733
+0.0306109
+0.0292397
+0.027966
+0.026784
+0.0257346
+0.0248346
+0.0241007
+0.0235483
+0.0226801
+0.0217564
+0.0210063
+0.0204643
+0.0199296
+0.0195449
+0.0193406
+0.0192895
+0.0194074
+0.019615
+0.019926
+0.0203872
+0.0210166
+0.0216052
+0.0202911
+0.0185196
+0.0167058
+0.014993
+0.0133661
+0.0119164
+0.0104545
+0.00871806
+0.00687891
+0.00518291
+0.00381437
+0.00315829
+0.00346445
+0.00449767
+0.00502673
+0.00569146
+0.00651936
+0.00765267
+0.00906984
+0.0106377
+0.0122714
+0.013793
+0.0149352
+0.0162575
+0.0175751
+0.0186328
+0.0198766
+0.0212213
+0.0226318
+0.0241588
+0.0256589
+0.0272207
+0.0288374
+0.0305258
+0.0322642
+0.0326174
+0.0319127
+0.0313454
+0.0309233
+0.0306523
+0.0305365
+0.0305285
+0.0306377
+0.0308999
+0.0313136
+0.0318588
+0.0324992
+0.0332493
+0.0341185
+0.0351031
+0.0558513
+0.0551999
+0.0546287
+0.0541185
+0.0536456
+0.0532587
+0.0529597
+0.0526978
+0.0525254
+0.0524011
+0.0523402
+0.0523709
+0.0522929
+0.0507814
+0.0493209
+0.047916
+0.0465645
+0.045243
+0.0439457
+0.0427076
+0.0415458
+0.0404693
+0.0394519
+0.0385079
+0.0376679
+0.036552
+0.0350559
+0.0336322
+0.0322406
+0.0309418
+0.029719
+0.0286096
+0.0276296
+0.0267933
+0.0261145
+0.0255778
+0.0245836
+0.0237226
+0.0230366
+0.022439
+0.0218903
+0.0215009
+0.0212826
+0.0212033
+0.02128
+0.0213889
+0.021637
+0.0220704
+0.0226563
+0.0222099
+0.0207309
+0.0188755
+0.0170995
+0.0154276
+0.0138481
+0.0124523
+0.0113113
+0.00946103
+0.00770193
+0.00619171
+0.00502442
+0.00447371
+0.00475812
+0.00564694
+0.00614678
+0.0067067
+0.00736396
+0.00843524
+0.00980314
+0.0114301
+0.0132209
+0.014685
+0.0160397
+0.0172683
+0.0182373
+0.019319
+0.0205276
+0.0218198
+0.0232056
+0.0246796
+0.0261578
+0.0276661
+0.0292582
+0.0309237
+0.0326512
+0.0332592
+0.0325683
+0.0320127
+0.0315995
+0.0312983
+0.0311252
+0.0310341
+0.0310795
+0.0312788
+0.0316288
+0.0321248
+0.03276
+0.0335043
+0.034367
+0.0353447
+0.0565177
+0.0558741
+0.0553099
+0.0548274
+0.0544184
+0.0540603
+0.0537657
+0.0535592
+0.0534345
+0.0533893
+0.0533766
+0.0534068
+0.0535268
+0.0523988
+0.0509846
+0.0496262
+0.0483106
+0.0470008
+0.0457449
+0.0445546
+0.0434422
+0.0424036
+0.0414111
+0.0405128
+0.0395239
+0.0380185
+0.0365824
+0.0352241
+0.0339336
+0.0326841
+0.0315269
+0.0304833
+0.0295655
+0.0287855
+0.0281548
+0.0274601
+0.0265227
+0.0257251
+0.0250684
+0.0243951
+0.0238604
+0.0234953
+0.0232259
+0.0231507
+0.0231327
+0.0232116
+0.0234226
+0.0238235
+0.0243469
+0.0229011
+0.0212762
+0.0194728
+0.0177567
+0.0161357
+0.0146305
+0.0133169
+0.0122567
+0.0105148
+0.00895618
+0.00760297
+0.00665913
+0.00625416
+0.00646148
+0.00723423
+0.00763944
+0.00810447
+0.00867625
+0.00960769
+0.0108731
+0.0123627
+0.014035
+0.0155799
+0.0170472
+0.0182212
+0.0190412
+0.0200502
+0.0212333
+0.0224624
+0.0238206
+0.0252579
+0.0267313
+0.0282719
+0.0298344
+0.0314693
+0.0331685
+0.0338989
+0.0332116
+0.0326384
+0.0322044
+0.0318258
+0.0315675
+0.03146
+0.0315049
+0.0317014
+0.0320468
+0.0325364
+0.0331638
+0.0338992
+0.0347325
+0.0356742
+0.0572603
+0.0566251
+0.0560684
+0.0555926
+0.0551894
+0.0548642
+0.0546249
+0.0544226
+0.054307
+0.0542774
+0.0543214
+0.0544535
+0.0546171
+0.0540566
+0.0526869
+0.0513617
+0.0500611
+0.0487899
+0.0475749
+0.0464315
+0.0453651
+0.0443406
+0.0433925
+0.0425138
+0.0410011
+0.039552
+0.0381736
+0.036874
+0.0356617
+0.0344757
+0.0333806
+0.0323968
+0.0315348
+0.0308047
+0.0302161
+0.0293806
+0.0284969
+0.0277561
+0.0270153
+0.0263684
+0.025859
+0.0254657
+0.0252098
+0.0251085
+0.0250201
+0.0250758
+0.025272
+0.025644
+0.0251536
+0.0235468
+0.0217593
+0.0200519
+0.0184343
+0.0169265
+0.0155818
+0.0144218
+0.0132733
+0.011752
+0.0103745
+0.00926088
+0.00849197
+0.0078923
+0.00776459
+0.0081821
+0.00885335
+0.00963248
+0.0101212
+0.0109758
+0.0121356
+0.0135527
+0.0151198
+0.0167017
+0.0180952
+0.0192376
+0.0200161
+0.0209782
+0.0221117
+0.0232903
+0.0245766
+0.0259804
+0.027423
+0.0289539
+0.0305357
+0.0321351
+0.0338008
+0.0344465
+0.0337524
+0.0331836
+0.0327237
+0.0323897
+0.032136
+0.0320304
+0.0320745
+0.0322676
+0.0325915
+0.0330168
+0.03358
+0.0342483
+0.0350399
+0.0359478
+0.058076
+0.0574499
+0.0569013
+0.0564324
+0.0560353
+0.055715
+0.0554794
+0.0553296
+0.0552168
+0.05519
+0.05525
+0.0553878
+0.0556037
+0.0557512
+0.0544181
+0.0531258
+0.0518406
+0.0506045
+0.0494341
+0.0483347
+0.0472917
+0.0463003
+0.045393
+0.0439997
+0.0425399
+0.041145
+0.0398218
+0.0385778
+0.0374207
+0.036311
+0.035273
+0.0343435
+0.0335315
+0.0328458
+0.0322756
+0.0313299
+0.0305006
+0.0297177
+0.0289907
+0.0283595
+0.0278581
+0.0274626
+0.0272254
+0.0270444
+0.026951
+0.026989
+0.0271663
+0.0273076
+0.0258074
+0.0239882
+0.0222362
+0.0205684
+0.0190071
+0.0175553
+0.0162627
+0.0151596
+0.0140272
+0.0126841
+0.0114322
+0.0104194
+0.0097165
+0.00916353
+0.00905377
+0.00941428
+0.0100115
+0.0108269
+0.0112642
+0.0120773
+0.0131403
+0.0144593
+0.0159501
+0.0175782
+0.0193113
+0.0203684
+0.0210912
+0.0219893
+0.0230507
+0.0241892
+0.0254623
+0.0268227
+0.0282461
+0.0297403
+0.0313105
+0.0329254
+0.0345469
+0.0350565
+0.0343431
+0.0337286
+0.0331972
+0.0328037
+0.0325532
+0.032449
+0.03248
+0.0326423
+0.0329497
+0.0333982
+0.0339583
+0.0346181
+0.0354015
+0.0363003
+0.0589619
+0.0583453
+0.0578052
+0.0573437
+0.0569529
+0.0566378
+0.0564061
+0.0562588
+0.0561966
+0.0561701
+0.0562291
+0.0563732
+0.056594
+0.0568898
+0.0561763
+0.0548934
+0.053642
+0.0524479
+0.0513196
+0.0502604
+0.0492313
+0.0482798
+0.0470112
+0.0455425
+0.0441338
+0.0427909
+0.0415202
+0.0403286
+0.0392232
+0.0381839
+0.0371981
+0.0363179
+0.0355511
+0.0349051
+0.0342063
+0.0333073
+0.0324908
+0.0316785
+0.0309682
+0.0303629
+0.0298633
+0.029487
+0.0292353
+0.0289997
+0.028906
+0.0289412
+0.0290894
+0.0281839
+0.026378
+0.0246011
+0.0228961
+0.0212801
+0.019775
+0.0184049
+0.0171772
+0.0160732
+0.0146243
+0.0131867
+0.0119794
+0.0110462
+0.0104483
+0.0102914
+0.0105176
+0.0109503
+0.0114739
+0.0122702
+0.0126499
+0.0133821
+0.0143932
+0.0156067
+0.0170117
+0.0185469
+0.0202033
+0.0215776
+0.0222744
+0.0231353
+0.0241462
+0.0252353
+0.0264613
+0.0277919
+0.0292058
+0.0306578
+0.0321891
+0.0337871
+0.0353826
+0.0356299
+0.0348638
+0.0342099
+0.033686
+0.0332983
+0.0330516
+0.0329434
+0.0329581
+0.0331179
+0.033421
+0.0338633
+0.0344395
+0.035121
+0.0358838
+0.0366696
+0.0599148
+0.0593081
+0.0587768
+0.0583231
+0.0579389
+0.0576292
+0.0574015
+0.0572567
+0.0571956
+0.0572075
+0.0572654
+0.0574069
+0.0576314
+0.0579379
+0.057951
+0.0566861
+0.055471
+0.0543171
+0.0532284
+0.0521817
+0.0511913
+0.0500332
+0.0485572
+0.0471367
+0.0457771
+0.0444838
+0.0432629
+0.0421206
+0.0410635
+0.040089
+0.0391512
+0.0383159
+0.0375898
+0.0369795
+0.0361616
+0.0353099
+0.0344331
+0.0336508
+0.0329677
+0.0323636
+0.0318894
+0.0315336
+0.0312131
+0.0309797
+0.0308914
+0.0309
+0.0305649
+0.0289027
+0.0271142
+0.0253889
+0.0237404
+0.022186
+0.0207411
+0.0194361
+0.0182778
+0.0168999
+0.0153684
+0.0140073
+0.0128771
+0.0120034
+0.0114555
+0.0113094
+0.011507
+0.0120942
+0.0129397
+0.0135847
+0.0142393
+0.0148936
+0.015814
+0.0169382
+0.0182456
+0.0197103
+0.0212782
+0.0229327
+0.0235895
+0.0244243
+0.0253794
+0.0264219
+0.0275953
+0.0288737
+0.0302533
+0.03169
+0.0331837
+0.0346998
+0.0362587
+0.0361733
+0.035419
+0.0347756
+0.0342603
+0.0338792
+0.0336367
+0.0335359
+0.0335725
+0.0337295
+0.034027
+0.0344604
+0.0349695
+0.0355061
+0.0361677
+0.0369475
+0.0609049
+0.0603236
+0.059813
+0.0593672
+0.0589898
+0.0586856
+0.058462
+0.0583199
+0.0582599
+0.0582822
+0.0583655
+0.0585044
+0.0587247
+0.0590255
+0.0594057
+0.0585019
+0.0573253
+0.0562095
+0.0551483
+0.0541234
+0.0530641
+0.0515817
+0.0501512
+0.0487772
+0.0474646
+0.0462186
+0.0450447
+0.0439487
+0.0429366
+0.0420048
+0.0411282
+0.0403339
+0.0396448
+0.0390501
+0.0381401
+0.0372417
+0.0363845
+0.0356413
+0.0349597
+0.0343843
+0.0339326
+0.0335667
+0.0332056
+0.0329863
+0.0328979
+0.0328845
+0.031524
+0.0297319
+0.0279964
+0.026329
+0.0247432
+0.0232559
+0.0218817
+0.020649
+0.0194038
+0.0178191
+0.0163737
+0.0151035
+0.014037
+0.0132132
+0.0127175
+0.0125867
+0.012765
+0.0133052
+0.0141144
+0.0148294
+0.015543
+0.0164859
+0.0173902
+0.0184279
+0.0196426
+0.0210103
+0.0225085
+0.0240984
+0.0249632
+0.0257615
+0.0267048
+0.0277115
+0.0288354
+0.0300433
+0.0313579
+0.0326654
+0.0340289
+0.035471
+0.0366257
+0.0368392
+0.0360988
+0.0354677
+0.0349627
+0.0345893
+0.0343518
+0.0342466
+0.0342607
+0.0344081
+0.0346208
+0.0349684
+0.0353771
+0.0359077
+0.036562
+0.0373336
+0.061938
+0.0613665
+0.0608684
+0.0604457
+0.0601
+0.0598037
+0.0595843
+0.0594448
+0.0593859
+0.0594078
+0.0595104
+0.0596621
+0.0598781
+0.0601732
+0.0605462
+0.0603427
+0.0592026
+0.0581229
+0.0570732
+0.0560836
+0.0546145
+0.0531754
+0.0517889
+0.0504595
+0.0491918
+0.0479907
+0.0468612
+0.0458087
+0.0448386
+0.0439428
+0.0431259
+0.042369
+0.0417136
+0.0410091
+0.0400901
+0.0391725
+0.0383583
+0.0376319
+0.0369683
+0.0364246
+0.0359931
+0.0355623
+0.0352217
+0.035015
+0.0349063
+0.034174
+0.0324343
+0.0306953
+0.0290175
+0.0274123
+0.025893
+0.0244756
+0.0231739
+0.0219194
+0.0204455
+0.0189481
+0.0175957
+0.0164041
+0.0153962
+0.014649
+0.0142036
+0.0140815
+0.0142399
+0.0147262
+0.0154554
+0.0162691
+0.0169354
+0.0178047
+0.0188429
+0.020038
+0.0211729
+0.0224491
+0.0238571
+0.0253723
+0.0256437
+0.0260725
+0.0266637
+0.0273969
+0.0282687
+0.0292788
+0.0303651
+0.0315245
+0.0327894
+0.034057
+0.0350816
+0.0362099
+0.0368528
+0.0362297
+0.0357095
+0.0353177
+0.0350587
+0.0348945
+0.0348551
+0.0349531
+0.0351624
+0.0354445
+0.0358404
+0.0363642
+0.0370105
+0.0377729
+0.0630303
+0.0624688
+0.0619796
+0.0615646
+0.061224
+0.060931
+0.0607156
+0.0605788
+0.060521
+0.0605425
+0.0606432
+0.0608226
+0.0610785
+0.0613777
+0.0617434
+0.0621841
+0.0611008
+0.0600378
+0.0590166
+0.0576542
+0.0562075
+0.0548102
+0.0534662
+0.0521796
+0.0509547
+0.0497961
+0.0487085
+0.0476968
+0.0467658
+0.0459036
+0.045128
+0.044419
+0.0437942
+0.0429728
+0.042004
+0.0411292
+0.0403544
+0.0396261
+0.0389965
+0.0384815
+0.0380056
+0.0375797
+0.0372574
+0.0370621
+0.0368154
+0.0352019
+0.0334634
+0.0317807
+0.0301634
+0.0286225
+0.0271218
+0.0256639
+0.0242865
+0.0228646
+0.0215718
+0.0202256
+0.0189653
+0.0178422
+0.0169203
+0.0162433
+0.0158427
+0.0157334
+0.0158754
+0.0163129
+0.0169741
+0.0178226
+0.0184831
+0.0192829
+0.0202476
+0.0213894
+0.0226736
+0.023246
+0.023463
+0.0235717
+0.0238636
+0.0243235
+0.0249542
+0.0257227
+0.0266013
+0.0275714
+0.0286765
+0.0299014
+0.0312321
+0.0325385
+0.0335821
+0.0347324
+0.0359795
+0.0369786
+0.036469
+0.0360458
+0.0357402
+0.0355671
+0.0355201
+0.0355381
+0.0356664
+0.0359265
+0.0363171
+0.0368342
+0.0374723
+0.0382255
+0.0641765
+0.0636242
+0.0631431
+0.0627249
+0.062376
+0.0620884
+0.0618771
+0.0617429
+0.0616862
+0.0617072
+0.061806
+0.0619821
+0.0622348
+0.0625633
+0.0629555
+0.0634025
+0.0630153
+0.0619658
+0.0606998
+0.0592465
+0.0578397
+0.0564828
+0.0551795
+0.0539338
+0.0527496
+0.0516313
+0.0505832
+0.0496097
+0.0487145
+0.047884
+0.0471358
+0.046478
+0.0458675
+0.0448708
+0.0439438
+0.0431083
+0.0423439
+0.0416401
+0.0410414
+0.0405212
+0.0400297
+0.0396154
+0.0393099
+0.0391162
+0.0377867
+0.0360139
+0.0342894
+0.0326193
+0.0310136
+0.0294833
+0.0280408
+0.0266847
+0.025333
+0.0239733
+0.0227373
+0.0216322
+0.0204581
+0.0194215
+0.0185781
+0.0179637
+0.0176023
+0.017504
+0.0176317
+0.0180267
+0.0186271
+0.0193915
+0.0200086
+0.02049
+0.0204283
+0.0205916
+0.0209533
+0.0214906
+0.0217068
+0.0218423
+0.0221572
+0.0226514
+0.0232167
+0.0239631
+0.02485
+0.0258859
+0.0270598
+0.0283547
+0.0297257
+0.0310409
+0.0321329
+0.0333332
+0.0346307
+0.0360148
+0.037202
+0.0367745
+0.0364378
+0.0361912
+0.0360548
+0.0360468
+0.0361718
+0.0364279
+0.0367896
+0.0372752
+0.0378814
+0.0386025
+0.0653648
+0.0648225
+0.0643392
+0.063925
+0.0635827
+0.0633006
+0.0630933
+0.0629617
+0.0629061
+0.0629267
+0.0630236
+0.0631963
+0.0634442
+0.0637664
+0.0641619
+0.0646292
+0.0649288
+0.0637505
+0.0622913
+0.060876
+0.0595077
+0.0581897
+0.0569256
+0.0557189
+0.0545735
+0.0534933
+0.0524824
+0.0515448
+0.0506792
+0.0498763
+0.0491576
+0.0485273
+0.0477664
+0.0467943
+0.0459062
+0.0451069
+0.0443427
+0.0436712
+0.0431007
+0.0425384
+0.0420695
+0.0416669
+0.0413612
+0.040345
+0.0385653
+0.0368284
+0.035142
+0.0335139
+0.0319532
+0.0304701
+0.0290766
+0.0277695
+0.0264886
+0.0252179
+0.0239987
+0.0228587
+0.0218792
+0.0210658
+0.020337
+0.0197773
+0.0194497
+0.0193608
+0.0194763
+0.0198346
+0.0201891
+0.0195182
+0.0190282
+0.0187465
+0.0186823
+0.0188607
+0.0192383
+0.0198222
+0.0200363
+0.0201881
+0.0204282
+0.0208165
+0.021423
+0.0222274
+0.0231736
+0.024281
+0.0255108
+0.0268458
+0.0282877
+0.0296293
+0.0307714
+0.0320228
+0.0333713
+0.0348055
+0.0363153
+0.0373406
+0.0369453
+0.0366768
+0.0365378
+0.03653
+0.0366533
+0.0369065
+0.0372815
+0.0377607
+0.0383592
+0.0390716
+0.0666035
+0.0660595
+0.0655829
+0.0651766
+0.0648409
+0.0645643
+0.0643611
+0.0642321
+0.0641776
+0.0641978
+0.0642927
+0.064462
+0.0647051
+0.0650211
+0.065409
+0.0658646
+0.0663782
+0.0653412
+0.0639183
+0.0625398
+0.0612087
+0.0599281
+0.0587014
+0.057532
+0.0564234
+0.0553793
+0.0544035
+0.0534995
+0.0526565
+0.0518839
+0.0511934
+0.0505884
+0.0496744
+0.0487403
+0.0478883
+0.0470939
+0.0463588
+0.0457169
+0.0451171
+0.0445686
+0.0440924
+0.0437057
+0.0429729
+0.0411902
+0.039447
+0.0377504
+0.0361071
+0.0345246
+0.0330116
+0.0315783
+0.0302186
+0.0288981
+0.0276124
+0.0263
+0.0250968
+0.024009
+0.0230784
+0.0222941
+0.0216921
+0.0212994
+0.0211152
+0.0204564
+0.0199755
+0.0195958
+0.018662
+0.0179368
+0.0174141
+0.0171062
+0.0170394
+0.0172348
+0.017629
+0.0182643
+0.0184618
+0.0184259
+0.0186236
+0.0190488
+0.0197097
+0.0205574
+0.021569
+0.0227227
+0.0240129
+0.0254267
+0.0269446
+0.028317
+0.02951
+0.0308127
+0.0322118
+0.0336954
+0.0352528
+0.0368746
+0.0375444
+0.0372802
+0.0371435
+0.0371358
+0.0372572
+0.0375063
+0.0378753
+0.0383471
+0.0389366
+0.0396386
+0.0678776
+0.0673427
+0.0668753
+0.0664768
+0.0661457
+0.0658745
+0.0656753
+0.0655488
+0.0654954
+0.0655152
+0.0656082
+0.0657741
+0.0660123
+0.066322
+0.0667023
+0.0671431
+0.067647
+0.0669657
+0.0655781
+0.0642352
+0.06294
+0.0616954
+0.0605045
+0.0593706
+0.058297
+0.057287
+0.0563442
+0.0554704
+0.0546498
+0.0539057
+0.0532414
+0.0525793
+0.0516048
+0.0507063
+0.0498836
+0.0490948
+0.0483901
+0.0477418
+0.0471221
+0.0465923
+0.0461253
+0.0456581
+0.0438752
+0.0421307
+0.040428
+0.0387744
+0.0371764
+0.0356414
+0.0341779
+0.0327767
+0.0314286
+0.0301004
+0.0287421
+0.027483
+0.0263317
+0.0252971
+0.024277
+0.0228983
+0.0216459
+0.0205417
+0.0196208
+0.01891
+0.0183896
+0.0181143
+0.0171571
+0.0163443
+0.0157717
+0.0154905
+0.0154582
+0.0156987
+0.0161569
+0.0168401
+0.0167321
+0.0166926
+0.016904
+0.0173713
+0.0180776
+0.0189679
+0.0200221
+0.0212505
+0.0226248
+0.0241201
+0.0257016
+0.0271184
+0.0283618
+0.0297149
+0.0311634
+0.0326946
+0.0342975
+0.0359612
+0.0376765
+0.0380006
+0.0378665
+0.0378589
+0.0379779
+0.0382223
+0.0385845
+0.0390478
+0.0396269
+0.0403168
+0.0688736
+0.0685228
+0.0682136
+0.0678203
+0.0674848
+0.0672191
+0.0670239
+0.0668999
+0.0668476
+0.066867
+0.0669581
+0.0671206
+0.0673541
+0.0676577
+0.0680305
+0.0684678
+0.0689621
+0.0686217
+0.0672683
+0.0659598
+0.0646991
+0.063489
+0.0623324
+0.0612324
+0.060192
+0.0592144
+0.0583027
+0.0574496
+0.0566576
+0.0559402
+0.0553004
+0.0544949
+0.0535553
+0.0526901
+0.0518716
+0.0511113
+0.0504202
+0.0497375
+0.0491427
+0.0486194
+0.048172
+0.0466114
+0.0448664
+0.043162
+0.0415016
+0.0398925
+0.0383411
+0.0368546
+0.0354211
+0.034053
+0.0326847
+0.0313005
+0.0297983
+0.028029
+0.026323
+0.0246937
+0.0231571
+0.0217126
+0.0203915
+0.0192298
+0.0182432
+0.0174765
+0.0169381
+0.0166388
+0.0156195
+0.0147401
+0.0141092
+0.0137712
+0.013733
+0.0140327
+0.0146037
+0.0154645
+0.0151224
+0.0150741
+0.0152855
+0.0158008
+0.0165097
+0.017444
+0.0185848
+0.0199022
+0.0213631
+0.0229194
+0.0245708
+0.0260417
+0.0273294
+0.0287266
+0.0302183
+0.031791
+0.0334333
+0.0351355
+0.0368893
+0.0386812
+0.0387001
+0.0386927
+0.0388091
+0.0390484
+0.0394029
+0.0398567
+0.0404242
+0.0410211
+0.0699109
+0.0695654
+0.0692874
+0.0690778
+0.0688676
+0.0686072
+0.068416
+0.0682946
+0.0682433
+0.0682623
+0.0683516
+0.0685108
+0.0687395
+0.069037
+0.0694024
+0.0698347
+0.0703209
+0.070307
+0.0689866
+0.0677114
+0.0664839
+0.0653069
+0.064183
+0.0631152
+0.0621064
+0.0611594
+0.0602772
+0.0594435
+0.0586785
+0.0579861
+0.0573691
+0.0564304
+0.0555235
+0.0546817
+0.0538732
+0.0531269
+0.0524055
+0.0517484
+0.0511713
+0.05066
+0.0493903
+0.0476464
+0.0459407
+0.0442777
+0.0426608
+0.0410971
+0.0395921
+0.0381339
+0.0367
+0.0347418
+0.0328131
+0.0309193
+0.0290538
+0.0272359
+0.0254768
+0.0237894
+0.0221901
+0.0206859
+0.0192946
+0.0180625
+0.0170223
+0.0161979
+0.0156303
+0.0153055
+0.0141793
+0.013225
+0.0125164
+0.0121452
+0.0121022
+0.0124441
+0.0130797
+0.0140293
+0.0136556
+0.0135783
+0.0138127
+0.0142977
+0.0150633
+0.016075
+0.0173063
+0.0187082
+0.0202293
+0.0218644
+0.0235898
+0.0250811
+0.0264157
+0.0278588
+0.0293945
+0.031009
+0.0326892
+0.0344175
+0.0361956
+0.0380168
+0.0396374
+0.0396301
+0.0397114
+0.0398755
+0.0401585
+0.0405581
+0.0410708
+0.0416924
+0.0710007
+0.0706605
+0.0703869
+0.0701806
+0.0700422
+0.0699599
+0.0698491
+0.0697302
+0.0696799
+0.0696986
+0.069786
+0.069942
+0.070166
+0.0704575
+0.0708155
+0.0712392
+0.0717208
+0.0720195
+0.0707311
+0.0694879
+0.0682923
+0.067147
+0.0660545
+0.0650174
+0.0640386
+0.0631206
+0.0622578
+0.0614509
+0.0607111
+0.0600422
+0.0593082
+0.0583665
+0.0574902
+0.0566498
+0.0558592
+0.0551185
+0.0544057
+0.0537675
+0.0532116
+0.0522052
+0.0504635
+0.0487579
+0.0470925
+0.0454716
+0.0438987
+0.0422891
+0.0402452
+0.0382176
+0.0362091
+0.0342228
+0.0322631
+0.0303335
+0.0284288
+0.0265682
+0.0247616
+0.0230219
+0.0213652
+0.0198125
+0.0183902
+0.0170974
+0.0159961
+0.0151159
+0.0145042
+0.0141535
+0.0128649
+0.0118059
+0.011017
+0.0106109
+0.0105682
+0.0109599
+0.011678
+0.0126898
+0.0123673
+0.0121989
+0.0123846
+0.0129285
+0.0137721
+0.0148719
+0.0161949
+0.0176733
+0.0192763
+0.0209858
+0.0227778
+0.0242808
+0.025657
+0.0271405
+0.0287075
+0.030346
+0.0320506
+0.0338113
+0.0356197
+0.0374689
+0.0393532
+0.0404034
+0.0404461
+0.0406072
+0.0408852
+0.0412777
+0.0417815
+0.0423927
+0.0721334
+0.0717986
+0.0715293
+0.0713263
+0.0711877
+0.0711057
+0.0710912
+0.0711442
+0.071155
+0.0711733
+0.0712589
+0.0714116
+0.0716311
+0.0719166
+0.0722675
+0.0726827
+0.0731546
+0.0736826
+0.0724998
+0.0712874
+0.0701226
+0.0690076
+0.067945
+0.0669373
+0.0659869
+0.0650924
+0.0642519
+0.0634704
+0.0627544
+0.0621075
+0.0612342
+0.06032
+0.0594481
+0.0586279
+0.0578413
+0.0571056
+0.0564144
+0.0557989
+0.0550506
+0.0533117
+0.0515966
+0.0499178
+0.0482268
+0.046134
+0.0440506
+0.0419782
+0.0399185
+0.0378734
+0.0358455
+0.033838
+0.0318546
+0.0298964
+0.0279619
+0.026068
+0.0242241
+0.0224427
+0.0207399
+0.0191365
+0.0176598
+0.0163441
+0.015187
+0.014258
+0.0135893
+0.013177
+0.0117603
+0.0105914
+0.00971235
+0.00925026
+0.00921457
+0.00964915
+0.0104684
+0.0115784
+0.0111759
+0.010957
+0.0111635
+0.0117808
+0.0126772
+0.0138641
+0.0152577
+0.0168172
+0.018505
+0.0202893
+0.0221465
+0.0236255
+0.0250429
+0.0265554
+0.0281488
+0.0298181
+0.0315513
+0.0333383
+0.035171
+0.0370426
+0.0389475
+0.0408811
+0.0412841
+0.0414419
+0.0417143
+0.0420991
+0.0425933
+0.043193
+0.0733085
+0.0729791
+0.0727142
+0.0725145
+0.0723801
+0.0722998
+0.0722855
+0.0723376
+0.072456
+0.0726402
+0.072768
+0.0729175
+0.0731325
+0.0734122
+0.0737559
+0.0741597
+0.0746163
+0.075134
+0.0742909
+0.0731083
+0.0719729
+0.0708871
+0.0698531
+0.0688732
+0.0679499
+0.0670738
+0.0662585
+0.0655009
+0.0648074
+0.0641226
+0.063175
+0.0622748
+0.0614151
+0.0605987
+0.059838
+0.0591052
+0.0584359
+0.0577793
+0.0560316
+0.054316
+0.052278
+0.0501628
+0.0480544
+0.0459537
+0.0438619
+0.0417801
+0.03971
+0.0376537
+0.0356133
+0.0335919
+0.0315896
+0.0296071
+0.027656
+0.0257433
+0.0238762
+0.0220668
+0.0203325
+0.0186943
+0.0171796
+0.0157862
+0.0145688
+0.0135976
+0.0129281
+0.0124571
+0.0109334
+0.00966323
+0.00870335
+0.00818418
+0.00816428
+0.00864021
+0.00954647
+0.0107564
+0.010228
+0.00997896
+0.0102052
+0.0108416
+0.0118354
+0.0131046
+0.0145769
+0.0162021
+0.0179479
+0.0197824
+0.0216831
+0.0231516
+0.0245964
+0.0261348
+0.0277524
+0.0294441
+0.031198
+0.0330042
+0.0348545
+0.0367422
+0.038662
+0.0406091
+0.0422192
+0.0423735
+0.04264
+0.0430165
+0.0435002
+0.0440876
+0.0745295
+0.0742055
+0.073945
+0.0737486
+0.073617
+0.0735397
+0.0735257
+0.0735769
+0.0736932
+0.0738744
+0.0741199
+0.0744291
+0.0746679
+0.0749419
+0.0752786
+0.0756655
+0.076113
+0.0766206
+0.076103
+0.074949
+0.0738419
+0.0727839
+0.0717773
+0.0708241
+0.069919
+0.0690678
+0.0682764
+0.0675414
+0.0668691
+0.0660519
+0.0651261
+0.0642299
+0.0633875
+0.062584
+0.0618308
+0.0611162
+0.0604692
+0.0585971
+0.0564637
+0.0543348
+0.052211
+0.050093
+0.0479816
+0.0458775
+0.043782
+0.0416963
+0.0396218
+0.037558
+0.0355034
+0.0334659
+0.0314491
+0.0294572
+0.0274954
+0.0255709
+0.0236927
+0.0218712
+0.0201202
+0.0184634
+0.0169283
+0.0155051
+0.0142637
+0.0132701
+0.0125832
+0.0120244
+0.010432
+0.00909206
+0.00806547
+0.00750125
+0.00747951
+0.00803111
+0.00902544
+0.0102661
+0.00959941
+0.00933363
+0.00957512
+0.0102251
+0.0112454
+0.0125683
+0.0141044
+0.0157926
+0.017592
+0.0194717
+0.0214106
+0.0228787
+0.0243396
+0.0258933
+0.027525
+0.02923
+0.030996
+0.0328133
+0.0346738
+0.0365708
+0.0384991
+0.0404541
+0.0424321
+0.0433959
+0.0436561
+0.0440239
+0.0444967
+0.0450711
+0.0757942
+0.0754756
+0.0752194
+0.0750264
+0.074897
+0.0748232
+0.0748094
+0.0748598
+0.0749741
+0.0751522
+0.0753935
+0.0756975
+0.0760634
+0.0764903
+0.0768254
+0.0772041
+0.0776427
+0.0781404
+0.0779346
+0.076808
+0.0757281
+0.0746969
+0.0737164
+0.0727849
+0.0719009
+0.0710735
+0.0703046
+0.0695911
+0.0689387
+0.0679964
+0.0670697
+0.0661999
+0.0653616
+0.0645827
+0.0638331
+0.062897
+0.0607559
+0.0586185
+0.0564852
+0.0543564
+0.0522328
+0.050115
+0.0480036
+0.0458998
+0.0438044
+0.0417179
+0.0396367
+0.0375679
+0.0355138
+0.033477
+0.031461
+0.0294698
+0.027509
+0.025584
+0.023704
+0.0218818
+0.0201332
+0.018479
+0.0169082
+0.015478
+0.0142423
+0.0132461
+0.0125566
+0.0119647
+0.010362
+0.00900657
+0.00793699
+0.00736293
+0.00732993
+0.00789199
+0.00890765
+0.0100502
+0.00935664
+0.00908376
+0.00933171
+0.00998641
+0.0110288
+0.0123748
+0.0139323
+0.0156391
+0.0174543
+0.0193474
+0.0212976
+0.0228106
+0.0242757
+0.0258282
+0.0274633
+0.0291714
+0.0309404
+0.0327603
+0.0346233
+0.0365226
+0.0384529
+0.0404098
+0.0423896
+0.0443892
+0.0447371
+0.0450961
+0.0455256
+0.0459863
+0.0771003
+0.0767872
+0.0765354
+0.0763457
+0.0762186
+0.0761475
+0.076134
+0.0761835
+0.0762959
+0.0764708
+0.076708
+0.0770068
+0.0773665
+0.0777863
+0.0782651
+0.0787735
+0.0792035
+0.0796914
+0.0797842
+0.0786842
+0.0776304
+0.0766247
+0.0756691
+0.074755
+0.0738946
+0.0730897
+0.0723423
+0.071649
+0.0708807
+0.0699315
+0.0690281
+0.0681667
+0.067349
+0.0665811
+0.0651065
+0.0629644
+0.0608257
+0.0586908
+0.0565602
+0.0544344
+0.052314
+0.0501995
+0.0480919
+0.0459921
+0.0439011
+0.0418204
+0.0397514
+0.0376904
+0.0356415
+0.0336104
+0.0316006
+0.0296166
+0.0276637
+0.0257491
+0.0238821
+0.0220746
+0.0203426
+0.018707
+0.0171573
+0.0157488
+0.0145272
+0.0135519
+0.0128788
+0.0122387
+0.0106772
+0.00936744
+0.00834425
+0.00780022
+0.00776908
+0.00830146
+0.00927237
+0.0101938
+0.00953988
+0.00927344
+0.00951645
+0.0101677
+0.0111932
+0.0125216
+0.0140674
+0.0157668
+0.0175753
+0.0194624
+0.0214023
+0.022915
+0.0243738
+0.0259204
+0.0275501
+0.0292531
+0.0310174
+0.0328331
+0.0346921
+0.0365879
+0.038515
+0.0404689
+0.0424459
+0.044443
+0.0457456
+0.0460161
+0.0463849
+0.046824
+0.0784459
+0.0781382
+0.0778908
+0.0777044
+0.0775795
+0.0775097
+0.0774964
+0.077545
+0.0776554
+0.0778273
+0.0780604
+0.078354
+0.0787076
+0.0791202
+0.079591
+0.080119
+0.080703
+0.0812719
+0.0816507
+0.0805762
+0.0795474
+0.0785664
+0.0776279
+0.0767371
+0.0758992
+0.0751158
+0.0743887
+0.0737147
+0.0728125
+0.0718787
+0.0709963
+0.0701432
+0.0693488
+0.0673861
+0.0652453
+0.0631078
+0.0609742
+0.0588447
+0.0567199
+0.0546003
+0.0524865
+0.0503793
+0.0482796
+0.0461883
+0.0441066
+0.042036
+0.0399782
+0.0379294
+0.0358941
+0.0338782
+0.0318853
+0.0299201
+0.0279885
+0.0260977
+0.0242569
+0.0224783
+0.0207786
+0.0191781
+0.0176584
+0.016286
+0.015108
+0.0141726
+0.0135305
+0.0128847
+0.0114119
+0.010197
+0.00926302
+0.00877384
+0.0087489
+0.00921629
+0.0100796
+0.0107456
+0.0101336
+0.00991258
+0.0101403
+0.0107413
+0.0117166
+0.0129916
+0.0144874
+0.0161426
+0.0179132
+0.0197681
+0.0216858
+0.0232265
+0.0246669
+0.0261962
+0.0278097
+0.0294977
+0.0312482
+0.0330512
+0.0348986
+0.0367838
+0.0387011
+0.040646
+0.0426148
+0.0446043
+0.0466119
+0.0469369
+0.0472784
+0.0477028
+0.079829
+0.0795265
+0.0792835
+0.0791004
+0.0789777
+0.0789091
+0.0788961
+0.0789438
+0.0790523
+0.0792212
+0.0794501
+0.0797387
+0.0800861
+0.0804917
+0.0809545
+0.0814736
+0.082048
+0.0826764
+0.0833577
+0.0824829
+0.0814783
+0.0805174
+0.0795987
+0.0787303
+0.0779137
+0.0771508
+0.0764431
+0.0757108
+0.0747489
+0.0737221
+0.0726929
+0.0717158
+0.0697289
+0.0675912
+0.065457
+0.0633267
+0.0612007
+0.0590794
+0.0569634
+0.0548532
+0.0527495
+0.0506533
+0.0485654
+0.0464869
+0.0444193
+0.042364
+0.0403229
+0.0382912
+0.0362754
+0.034281
+0.0323122
+0.0303737
+0.0284718
+0.0266143
+0.0248113
+0.0230755
+0.0214199
+0.0198564
+0.0183907
+0.0170773
+0.0159577
+0.0150752
+0.0144732
+0.0138507
+0.0124923
+0.0113273
+0.010481
+0.0100496
+0.0100241
+0.0104362
+0.0112544
+0.0116663
+0.0111052
+0.0108968
+0.0111044
+0.0117032
+0.0126044
+0.0137976
+0.0152143
+0.016798
+0.018506
+0.0203069
+0.022178
+0.0237369
+0.0251481
+0.0266497
+0.0282373
+0.0299012
+0.0316294
+0.0334119
+0.0352404
+0.0371081
+0.0390095
+0.0409398
+0.0428951
+0.0448722
+0.0468683
+0.0478945
+0.0482332
+0.0486551
+0.0812476
+0.0809504
+0.0807117
+0.0805318
+0.0804113
+0.080344
+0.0803311
+0.080378
+0.0804845
+0.0806504
+0.0808754
+0.0811588
+0.0815002
+0.0818988
+0.0823537
+0.0828641
+0.0834288
+0.084047
+0.0847172
+0.0844028
+0.0834213
+0.0824774
+0.0815808
+0.0807336
+0.0799376
+0.0786855
+0.0774746
+0.0763075
+0.075186
+0.0741124
+0.0730887
+0.072117
+0.0699957
+0.0678664
+0.0657412
+0.0636204
+0.0615045
+0.0593941
+0.0572896
+0.0551919
+0.0531017
+0.0510199
+0.0489477
+0.0468862
+0.0448369
+0.0428017
+0.040779
+0.0387687
+0.0367791
+0.0348137
+0.0328767
+0.0309736
+0.0291109
+0.027297
+0.0255362
+0.0238405
+0.0222315
+0.0207293
+0.0193298
+0.0180848
+0.0170316
+0.0162076
+0.0156492
+0.0150397
+0.0137818
+0.0127234
+0.0119762
+0.0116005
+0.0115767
+0.0119365
+0.012661
+0.0128826
+0.0123767
+0.0121964
+0.0123822
+0.0129415
+0.0137862
+0.0148849
+0.0162069
+0.0177021
+0.0193303
+0.0210608
+0.0228703
+0.0244337
+0.0258068
+0.0272723
+0.0288256
+0.0304574
+0.0321557
+0.0339105
+0.0357135
+0.0375577
+0.0394374
+0.0413478
+0.0432847
+0.0452447
+0.0472251
+0.0489314
+0.049263
+0.0496761
+0.0826999
+0.0824079
+0.0821734
+0.0819968
+0.0818784
+0.0818123
+0.0817997
+0.0818457
+0.0819504
+0.0821133
+0.0823342
+0.0826127
+0.0829481
+0.0833397
+0.0837868
+0.0842885
+0.0848438
+0.0854517
+0.086111
+0.0863346
+0.0853714
+0.0843269
+0.0829672
+0.0816436
+0.0803579
+0.079112
+0.0779077
+0.0767472
+0.0756323
+0.074565
+0.0735476
+0.0724528
+0.0703297
+0.0682109
+0.0660967
+0.0639878
+0.0618844
+0.0597874
+0.0576973
+0.055615
+0.0535413
+0.0514773
+0.0494242
+0.0473834
+0.0453567
+0.0433455
+0.041344
+0.0393626
+0.0374046
+0.0354738
+0.0335749
+0.0317137
+0.0298893
+0.0281149
+0.026403
+0.0247668
+0.023222
+0.0217882
+0.0204613
+0.0192895
+0.0183057
+0.0175417
+0.0170271
+0.0164135
+0.015268
+0.0143199
+0.0136603
+0.0133321
+0.0133099
+0.0136252
+0.0142642
+0.0143323
+0.0138794
+0.0137189
+0.0138843
+0.0143854
+0.0151802
+0.0161846
+0.0174082
+0.0188081
+0.020348
+0.0219986
+0.0237367
+0.0253016
+0.02663
+0.0280525
+0.0295649
+0.031158
+0.03282
+0.0345411
+0.0363128
+0.0381281
+0.039981
+0.0418665
+0.0437804
+0.0457193
+0.0476799
+0.0496598
+0.0503671
+0.0507712
+0.0841841
+0.0838973
+0.083667
+0.0834935
+0.0833773
+0.0833123
+0.0833
+0.0833452
+0.0834479
+0.0836079
+0.0838249
+0.0840984
+0.0844279
+0.0848127
+0.0852521
+0.0857452
+0.0862912
+0.0868889
+0.0875374
+0.0875881
+0.0861685
+0.0847816
+0.0834293
+0.0821131
+0.0808349
+0.0795965
+0.0783997
+0.0772465
+0.0761389
+0.0750789
+0.0740685
+0.0728415
+0.0707301
+0.0686236
+0.0665226
+0.0644275
+0.0623391
+0.0602578
+0.0581847
+0.0561204
+0.0540661
+0.0520229
+0.0499923
+0.0479757
+0.045975
+0.0439867
+0.0420157
+0.0400676
+0.0381458
+0.0362538
+0.0343895
+0.0325655
+0.0307895
+0.02907
+0.0274179
+0.025846
+0.0243697
+0.0230076
+0.0217552
+0.0206568
+0.0197413
+0.019035
+0.0185619
+0.0179498
+0.0169082
+0.0160571
+0.0154718
+0.0151828
+0.0151621
+0.0154406
+0.0160073
+0.0159521
+0.0155464
+0.0154033
+0.0155508
+0.0159997
+0.016718
+0.0176351
+0.0187642
+0.0200698
+0.0215196
+0.0230866
+0.0247484
+0.0263237
+0.0276029
+0.0289777
+0.0304441
+0.0319935
+0.0336142
+0.0352966
+0.0370322
+0.0388138
+0.0406355
+0.042492
+0.044379
+0.0462927
+0.04823
+0.0501882
+0.0515407
+0.0519357
+0.0856986
+0.085417
+0.0851907
+0.0850204
+0.0849062
+0.0848425
+0.0848303
+0.0848747
+0.0849756
+0.0851327
+0.0853458
+0.0856145
+0.0859382
+0.0863163
+0.086748
+0.0872327
+0.0877694
+0.0883571
+0.0889949
+0.0880805
+0.0866689
+0.0852902
+0.0839461
+0.0826381
+0.0813682
+0.080138
+0.0789494
+0.0778044
+0.0767048
+0.0756527
+0.0746501
+0.0732937
+0.0711956
+0.0691034
+0.0670174
+0.0649383
+0.0628668
+0.0608036
+0.0587497
+0.056706
+0.0546737
+0.0526542
+0.0506488
+0.0486594
+0.0466854
+0.0447261
+0.0427892
+0.0408755
+0.0389858
+0.0371292
+0.0353108
+0.0335371
+0.0318153
+0.0301544
+0.028565
+0.0270598
+0.0256536
+0.0243633
+0.0231842
+0.0221568
+0.0213059
+0.0206532
+0.0202179
+0.019611
+0.0186501
+0.0178842
+0.0173627
+0.0171079
+0.0170805
+0.0173292
+0.017845
+0.0176931
+0.0173283
+0.0172021
+0.0173343
+0.0177382
+0.0183887
+0.0192262
+0.0202669
+0.0214813
+0.0228418
+0.0243237
+0.0259063
+0.0274679
+0.0286962
+0.0300342
+0.0314517
+0.0329537
+0.0345294
+0.0361692
+0.0378648
+0.039609
+0.0413957
+0.0432196
+0.0450761
+0.0469614
+0.0488723
+0.0508057
+0.0527592
+0.0531642
+0.0872419
+0.0869652
+0.086743
+0.0865757
+0.0864636
+0.086401
+0.0863891
+0.0864327
+0.0865317
+0.0866861
+0.0868954
+0.0871593
+0.0874772
+0.0878487
+0.0882729
+0.0887493
+0.0892768
+0.0898547
+0.0900586
+0.0886243
+0.0872215
+0.0858517
+0.0845165
+0.0832175
+0.0819565
+0.0807353
+0.0795556
+0.0784195
+0.0773287
+0.0762852
+0.075291
+0.0738081
+0.0717251
+0.0696487
+0.0675796
+0.0655183
+0.0634658
+0.0614227
+0.0593902
+0.0573694
+0.0553615
+0.0533679
+0.0513904
+0.0494309
+0.0474839
+0.0455549
+0.0436479
+0.0417687
+0.0399213
+0.0381103
+0.0363411
+0.0346201
+0.032955
+0.0313545
+0.0298292
+0.0283911
+0.0270541
+0.0258203
+0.0247084
+0.0237471
+0.0229551
+0.0223507
+0.0219491
+0.0213636
+0.0204653
+0.0197698
+0.0192994
+0.01907
+0.0190427
+0.019266
+0.0197315
+0.019503
+0.0191726
+0.019083
+0.0192023
+0.0195676
+0.0201592
+0.020926
+0.021886
+0.0230152
+0.0242898
+0.0256884
+0.0271917
+0.0287253
+0.029902
+0.0311883
+0.0325714
+0.034028
+0.0355562
+0.0371507
+0.0388034
+0.0405072
+0.0422559
+0.0440442
+0.0458674
+0.0477215
+0.049603
+0.051509
+0.0534368
+0.0544516
+0.0888124
+0.0885406
+0.0883224
+0.0881581
+0.088048
+0.0879865
+0.0879748
+0.0880176
+0.0881149
+0.0882664
+0.088472
+0.0887312
+0.0890435
+0.0894085
+0.0898254
+0.0902935
+0.0908121
+0.0913803
+0.0906435
+0.0892186
+0.0878253
+0.0864651
+0.0851395
+0.0838501
+0.0825988
+0.0813872
+0.0802172
+0.0790905
+0.0780091
+0.0769748
+0.0759897
+0.0743835
+0.0723171
+0.0702582
+0.0682076
+0.0661659
+0.064134
+0.062113
+0.0601038
+0.0581078
+0.0561263
+0.0541608
+0.0522073
+0.0502719
+0.0483568
+0.0464614
+0.0445932
+0.0427556
+0.0409527
+0.0391894
+0.0374712
+0.0358046
+0.0341972
+0.0326577
+0.0311961
+0.029824
+0.0285453
+0.0273688
+0.0263225
+0.0254222
+0.0246841
+0.0241229
+0.0237479
+0.0231733
+0.0223478
+0.0217128
+0.0212853
+0.0210747
+0.0210499
+0.0212522
+0.0216751
+0.0213839
+0.0210831
+0.0210073
+0.0211181
+0.0214508
+0.0219977
+0.02271
+0.0235976
+0.0246484
+0.0258427
+0.0271614
+0.0285873
+0.0300899
+0.0312152
+0.0324495
+0.0337809
+0.0351985
+0.0366851
+0.0382326
+0.0398405
+0.0415017
+0.0432102
+0.0449605
+0.046748
+0.0485685
+0.0504184
+0.0522947
+0.0541946
+0.0557953
+0.0904087
+0.0901417
+0.0899274
+0.089766
+0.0896579
+0.0895975
+0.089586
+0.0896281
+0.0897236
+0.0898724
+0.0900743
+0.0903289
+0.0906358
+0.0909943
+0.091404
+0.0918641
+0.0923739
+0.0927222
+0.0912772
+0.0898624
+0.0884792
+0.0871292
+0.0858139
+0.0845348
+0.0832938
+0.0820924
+0.0809326
+0.079816
+0.0787445
+0.0777201
+0.0767445
+0.0750185
+0.07297
+0.0709301
+0.0688995
+0.0668789
+0.0648694
+0.062872
+0.0608879
+0.0589171
+0.0569571
+0.0550143
+0.0530909
+0.051189
+0.0493091
+0.0474519
+0.0456242
+0.0438299
+0.042073
+0.0403587
+0.0386924
+0.0370808
+0.0355311
+0.034052
+0.0326529
+0.0313397
+0.0301131
+0.0290003
+0.0280149
+0.0271708
+0.0264814
+0.0259592
+0.0256049
+0.025044
+0.0242822
+0.023699
+0.023308
+0.0231131
+0.0230906
+0.0232751
+0.0236619
+0.023319
+0.0230434
+0.0229743
+0.0230761
+0.0233809
+0.0238837
+0.0245599
+0.0253829
+0.0263627
+0.0274825
+0.028726
+0.0300779
+0.0315242
+0.0326227
+0.0338057
+0.0350857
+0.0364525
+0.0378968
+0.0394067
+0.0409685
+0.0425858
+0.0442525
+0.0459631
+0.047713
+0.049498
+0.0513145
+0.0531591
+0.0550292
+0.0569221
+0.0920294
+0.0917672
+0.0915567
+0.0913982
+0.091292
+0.0912327
+0.0912214
+0.0912627
+0.0913565
+0.0915027
+0.091701
+0.0919511
+0.0922525
+0.0926048
+0.0930074
+0.0934596
+0.0939607
+0.0933932
+0.0919588
+0.0905546
+0.0891822
+0.087843
+0.0865385
+0.0852703
+0.0840401
+0.0828496
+0.0817005
+0.0805946
+0.0795336
+0.0785194
+0.0775539
+0.0757115
+0.0736824
+0.0716628
+0.0696535
+0.0676554
+0.0656697
+0.063694
+0.0617301
+0.0597819
+0.0578511
+0.0559394
+0.054049
+0.052182
+0.0503389
+0.0485211
+0.0467352
+0.0449852
+0.0432753
+0.0416105
+0.0399965
+0.0384395
+0.0369469
+0.0355268
+0.0341865
+0.0329202
+0.0317547
+0.0307015
+0.0297724
+0.0289795
+0.0283342
+0.0278468
+0.027511
+0.0269629
+0.0262568
+0.0257185
+0.0253586
+0.0251772
+0.0251565
+0.0253259
+0.0256819
+0.0252958
+0.025042
+0.0249784
+0.0250726
+0.0253535
+0.0258178
+0.026456
+0.0272275
+0.0281431
+0.0291948
+0.0303682
+0.03165
+0.0330275
+0.034113
+0.035246
+0.0364755
+0.0377921
+0.039187
+0.0406521
+0.0421802
+0.0437528
+0.0453766
+0.0470464
+0.0487574
+0.0505055
+0.052287
+0.0540985
+0.0559372
+0.0578004
+0.0936734
+0.0934158
+0.0932089
+0.0930532
+0.0929489
+0.0928907
+0.0928796
+0.0929202
+0.0930123
+0.0931559
+0.0933507
+0.0935964
+0.0938926
+0.0942387
+0.0946344
+0.0950788
+0.0955618
+0.0941104
+0.0926871
+0.0912942
+0.089933
+0.0886051
+0.087312
+0.0860553
+0.0848365
+0.0836573
+0.0825194
+0.0814246
+0.0803746
+0.0793712
+0.0784142
+0.0764611
+0.0744524
+0.0724542
+0.0704673
+0.068488
+0.0665214
+0.0645691
+0.0626326
+0.0607134
+0.0588132
+0.0569338
+0.0550775
+0.0532466
+0.0514414
+0.0496639
+0.0479207
+0.0462156
+0.0445529
+0.0429377
+0.0413755
+0.0398724
+0.0384355
+0.0370724
+0.0357753
+0.0345673
+0.0334592
+0.0324613
+0.0315841
+0.0308379
+0.0302322
+0.0297759
+0.0294568
+0.0289204
+0.0282633
+0.0277639
+0.0274309
+0.027261
+0.0272419
+0.0273984
+0.027712
+0.0273053
+0.0270703
+0.0270116
+0.0270991
+0.0273592
+0.02779
+0.0283839
+0.0291201
+0.029978
+0.0309673
+0.032076
+0.0332921
+0.0346043
+0.0356756
+0.0367605
+0.0379409
+0.0392083
+0.0405546
+0.041972
+0.0434537
+0.0449933
+0.0465767
+0.0482049
+0.0498762
+0.0515865
+0.0533318
+0.055109
+0.056915
+0.0587472
+0.0953393
+0.0950862
+0.094883
+0.0947301
+0.0946276
+0.0945705
+0.0945596
+0.0945994
+0.0946899
+0.094831
+0.0950223
+0.0952637
+0.0955547
+0.0958949
+0.0962837
+0.0967206
+0.0963128
+0.0948728
+0.0934611
+0.0920799
+0.0907306
+0.0894145
+0.0881333
+0.0868884
+0.0856815
+0.0845141
+0.0833879
+0.0823046
+0.081266
+0.0802705
+0.0792635
+0.0772655
+0.0752768
+0.0732959
+0.0713272
+0.0693718
+0.0674309
+0.0655058
+0.0635978
+0.0617087
+0.0598401
+0.057994
+0.0561727
+0.0543787
+0.052612
+0.0508755
+0.0491752
+0.0475152
+0.0458996
+0.0443335
+0.0428222
+0.0413717
+0.0399887
+0.0386679
+0.037425
+0.036272
+0.0352176
+0.0342709
+0.0334412
+0.0327373
+0.0321675
+0.0317389
+0.0314347
+0.0309093
+0.0302953
+0.02983
+0.0295202
+0.0293604
+0.0293426
+0.029488
+0.0297196
+0.0293407
+0.0291222
+0.0290676
+0.0291494
+0.0293913
+0.0297928
+0.0303475
+0.0310473
+0.0318578
+0.0327905
+0.0338395
+0.0349944
+0.036245
+0.0373015
+0.0383404
+0.0394736
+0.0406933
+0.0419919
+0.0433624
+0.0447982
+0.0462931
+0.0478416
+0.0494335
+0.0510646
+0.0527363
+0.0544448
+0.0561868
+0.0579592
+0.0597594
+0.0970261
+0.0967774
+0.0965778
+0.0964276
+0.0963269
+0.0962707
+0.09626
+0.0962992
+0.0963881
+0.0965267
+0.0967147
+0.0969518
+0.0972378
+0.0975721
+0.0979542
+0.0983837
+0.0971073
+0.0956794
+0.0942797
+0.0929107
+0.0915736
+0.0902698
+0.0890009
+0.0877683
+0.0865736
+0.0854184
+0.0843044
+0.083233
+0.0822017
+0.0812109
+0.0800966
+0.078115
+0.0761449
+0.0741871
+0.0722427
+0.0703128
+0.0683986
+0.0665015
+0.0646229
+0.0627646
+0.0609284
+0.0591163
+0.0573307
+0.0555741
+0.0538464
+0.052151
+0.0504937
+0.0488784
+0.0473094
+0.0457916
+0.04433
+0.0429305
+0.0415901
+0.0403183
+0.0391278
+0.0380265
+0.0370221
+0.0361228
+0.0353366
+0.0346711
+0.0341336
+0.0337299
+0.0334393
+0.0329238
+0.0323481
+0.0319126
+0.0316233
+0.0314722
+0.0314556
+0.0315913
+0.0317514
+0.0313971
+0.0311929
+0.0311419
+0.0312187
+0.0314448
+0.0318204
+0.0323403
+0.0329978
+0.0337751
+0.0346563
+0.0356504
+0.0367484
+0.0379413
+0.0389827
+0.0399779
+0.041066
+0.0422397
+0.0434922
+0.0448168
+0.0462074
+0.0476581
+0.0491637
+0.0507192
+0.0523176
+0.0539506
+0.0556218
+0.0573281
+0.0590663
+0.0608337
+0.0987283
+0.0984839
+0.0982877
+0.0981401
+0.0980412
+0.0979905
+0.0979799
+0.0980184
+0.0981058
+0.0982419
+0.0984266
+0.0986597
+0.0989407
+0.0992693
+0.0996449
+0.0993877
+0.0979444
+0.0965289
+0.0951417
+0.0937852
+0.0924608
+0.0911697
+0.0899135
+0.0886936
+0.0875116
+0.0863689
+0.0852673
+0.0842025
+0.0831779
+0.082199
+0.0809722
+0.0790126
+0.0770654
+0.0751316
+0.0732123
+0.0713087
+0.0694219
+0.0675536
+0.0657051
+0.0638783
+0.062075
+0.0602974
+0.0585478
+0.0568288
+0.0551402
+0.0534858
+0.0518712
+0.0503001
+0.0487769
+0.0473061
+0.0458928
+0.0445361
+0.0432399
+0.042018
+0.0408772
+0.0398242
+0.0388663
+0.0380106
+0.0372643
+0.0366339
+0.0361256
+0.0357417
+0.0354658
+0.0349594
+0.0344178
+0.0340089
+0.0337376
+0.0335941
+0.0335786
+0.0337058
+0.0338031
+0.0334705
+0.033279
+0.0332312
+0.0333036
+0.0335156
+0.0338682
+0.0343572
+0.0349768
+0.0357202
+0.0365581
+0.0375019
+0.0385472
+0.039686
+0.0407078
+0.0416618
+0.042707
+0.0438368
+0.0450449
+0.0463252
+0.0476718
+0.0490792
+0.0505425
+0.0520566
+0.0536137
+0.0552137
+0.0568531
+0.0585286
+0.0602327
+0.0619668
+0.100448
+0.100207
+0.100015
+0.0998696
+0.0997724
+0.0997232
+0.0997183
+0.0997561
+0.099842
+0.0999758
+0.100157
+0.100386
+0.100662
+0.100985
+0.101355
+0.100254
+0.098823
+0.0974202
+0.096046
+0.0947024
+0.093391
+0.092113
+0.0908698
+0.0896629
+0.0884938
+0.087364
+0.0862683
+0.0852122
+0.0841999
+0.083233
+0.0818971
+0.0799601
+0.0780366
+0.0761275
+0.0742339
+0.0723572
+0.0704985
+0.0686594
+0.0668416
+0.0650467
+0.0632767
+0.0615338
+0.0598204
+0.0581391
+0.0564893
+0.0548756
+0.0533031
+0.0517756
+0.050297
+0.048872
+0.0475014
+0.0461846
+0.044936
+0.0437615
+0.0426673
+0.0416596
+0.0407448
+0.0399294
+0.0392196
+0.0386212
+0.0381394
+0.0377718
+0.0375108
+0.0370128
+0.0365017
+0.0361164
+0.035861
+0.0357244
+0.0357098
+0.0358294
+0.0358712
+0.0355579
+0.0353778
+0.0353328
+0.0354013
+0.0356008
+0.035933
+0.0363942
+0.0369797
+0.0376836
+0.0384906
+0.0393881
+0.0403847
+0.041473
+0.0424737
+0.0433889
+0.0443934
+0.0454814
+0.0466469
+0.0478843
+0.0491883
+0.0505535
+0.0519753
+0.0534488
+0.0549665
+0.0565282
+0.0581306
+0.0597703
+0.0614444
+0.0631501
+0.102185
+0.101949
+0.101759
+0.101617
+0.101521
+0.101473
+0.101472
+0.101511
+0.101596
+0.101727
+0.101906
+0.102131
+0.102402
+0.10272
+0.102603
+0.101158
+0.0997404
+0.0983511
+0.0969913
+0.095661
+0.0943629
+0.0930982
+0.0918684
+0.0906748
+0.0895189
+0.0883944
+0.0873091
+0.0862657
+0.0852659
+0.0843112
+0.0828696
+0.0809559
+0.0790566
+0.0771727
+0.0753054
+0.0734561
+0.0716259
+0.0698166
+0.0680296
+0.0662669
+0.0645304
+0.0628223
+0.061145
+0.0595011
+0.0578899
+0.0563164
+0.0547853
+0.0533002
+0.0518652
+0.0504827
+0.0491481
+0.0478765
+0.0466732
+0.0455436
+0.0444932
+0.0435278
+0.0426531
+0.0418749
+0.0411987
+0.0406294
+0.0401716
+0.0398189
+0.0395714
+0.0390811
+0.0385974
+0.0382332
+0.0379921
+0.0378615
+0.0378477
+0.0379606
+0.037953
+0.0376571
+0.0374871
+0.0374446
+0.0375096
+0.0376979
+0.0380118
+0.0384481
+0.0390028
+0.0396708
+0.0404466
+0.0413045
+0.0422558
+0.0432972
+0.0442775
+0.0451562
+0.0461223
+0.0471704
+0.0482951
+0.0494914
+0.050754
+0.0520783
+0.0534595
+0.0548932
+0.056372
+0.0578958
+0.0594614
+0.0610654
+0.0627049
+0.0643772
+0.0938164
+0.092386
+0.0909809
+0.0896072
+0.0882666
+0.0869605
+0.0856904
+0.0843567
+0.0829949
+0.0816692
+0.0803813
+0.0791331
+0.0778638
+0.076615
+0.0754091
+0.0742126
+0.0730349
+0.0719046
+0.0708242
+0.0697957
+0.068767
+0.0677118
+0.0667119
+0.0657697
+0.0648879
+0.064008
+0.0630789
+0.0621535
+0.0612756
+0.0604643
+0.0597225
+0.0590526
+0.0584094
+0.0573493
+0.0563136
+0.0553452
+0.0544477
+0.0536112
+0.0528497
+0.0521692
+0.0515728
+0.0510245
+0.0505495
+0.0501658
+0.0498629
+0.0496488
+0.0495307
+0.0495094
+0.0495814
+0.0497254
+0.0499373
+0.0502439
+0.0506435
+0.0511339
+0.0517077
+0.0523646
+0.0531039
+0.0530067
+0.0521434
+0.0513591
+0.0506513
+0.050029
+0.0494958
+0.0490548
+0.0487083
+0.0484586
+0.048307
+0.0482544
+0.0483013
+0.0484473
+0.0485192
+0.0485564
+0.0486923
+0.048926
+0.0492561
+0.0496807
+0.0501684
+0.0502972
+0.0499176
+0.0495876
+0.0493526
+0.0492142
+0.0491723
+0.04921
+0.0493449
+0.0495763
+0.0499029
+0.0503228
+0.0508338
+0.0514331
+0.0521176
+0.052884
+0.053729
+0.0546487
+0.0556395
+0.0566977
+0.0578196
+0.0590015
+0.0602399
+0.0615314
+0.0923769
+0.090929
+0.0895039
+0.0881072
+0.0867434
+0.085414
+0.0841206
+0.082865
+0.081501
+0.0801505
+0.0788378
+0.0775648
+0.0763302
+0.0750558
+0.0738245
+0.0726383
+0.0714484
+0.0702927
+0.069187
+0.0681339
+0.0671182
+0.0660644
+0.0650393
+0.0640728
+0.0631675
+0.0622974
+0.061418
+0.060473
+0.0595766
+0.0587419
+0.057978
+0.0572873
+0.0566445
+0.0557172
+0.0546505
+0.0536521
+0.0527258
+0.0518695
+0.051082
+0.0503776
+0.0497598
+0.0491865
+0.0486936
+0.0482952
+0.0479936
+0.0477724
+0.0476497
+0.0476255
+0.0476846
+0.0478367
+0.0480569
+0.0483754
+0.0487903
+0.0492991
+0.0498918
+0.0505723
+0.0513374
+0.0510189
+0.0501214
+0.049305
+0.0485698
+0.0479204
+0.0473635
+0.0469024
+0.04654
+0.0462785
+0.0461198
+0.0460648
+0.0461139
+0.0462668
+0.0463313
+0.0463703
+0.0465126
+0.0467572
+0.0471025
+0.0475463
+0.0479939
+0.0481285
+0.0477612
+0.0474162
+0.0471705
+0.0470256
+0.0469817
+0.0470213
+0.0471624
+0.0474045
+0.0477459
+0.0481847
+0.048718
+0.049343
+0.0500561
+0.0508537
+0.0517318
+0.0526864
+0.0537134
+0.0548088
+0.0559685
+0.0571887
+0.0584655
+0.0597953
+0.0909673
+0.0894966
+0.0880557
+0.0866366
+0.0852492
+0.0838962
+0.082579
+0.0812996
+0.0800391
+0.0786636
+0.0773256
+0.0760273
+0.0747706
+0.0735289
+0.0722715
+0.0710595
+0.0698946
+0.0687128
+0.0675813
+0.0665027
+0.0654797
+0.064445
+0.0633937
+0.0624017
+0.0614718
+0.0606068
+0.0597275
+0.0588202
+0.0579106
+0.0570515
+0.0562647
+0.0555495
+0.0548993
+0.0541245
+0.0530258
+0.0519962
+0.0510399
+0.0501611
+0.0493483
+0.0486187
+0.0479782
+0.0473786
+0.0468667
+0.0464526
+0.0461368
+0.0459054
+0.0457777
+0.0457525
+0.045814
+0.0459747
+0.0462038
+0.046535
+0.0469661
+0.0474923
+0.0481071
+0.0488125
+0.0496048
+0.0490485
+0.0481143
+0.0472632
+0.0464984
+0.0458196
+0.0452368
+0.0447538
+0.0443739
+0.0440996
+0.0439329
+0.0438752
+0.0439267
+0.0440872
+0.0441437
+0.0441847
+0.0443339
+0.0445905
+0.0449524
+0.0454165
+0.045821
+0.0459578
+0.0456081
+0.0452467
+0.0449891
+0.0448372
+0.0447912
+0.0448327
+0.0449807
+0.0452344
+0.0455922
+0.0460514
+0.0466092
+0.0472621
+0.0480061
+0.0488372
+0.0497509
+0.0507427
+0.0518083
+0.0529431
+0.0541428
+0.0554032
+0.0567202
+0.05809
+0.0895703
+0.0880954
+0.0866313
+0.0851969
+0.0837858
+0.0824087
+0.0810674
+0.0797637
+0.0784995
+0.0772101
+0.0758465
+0.0745224
+0.0732399
+0.0720012
+0.0707523
+0.0695138
+0.068323
+0.0671671
+0.0660091
+0.0649044
+0.0638558
+0.0628352
+0.061782
+0.0607637
+0.0598083
+0.0589189
+0.0580548
+0.057197
+0.0562719
+0.0553962
+0.0545855
+0.0538434
+0.0531723
+0.0525595
+0.0514431
+0.0503812
+0.0493936
+0.048485
+0.0476522
+0.0468963
+0.0462245
+0.0456043
+0.0450722
+0.0446415
+0.0443092
+0.0440682
+0.0439351
+0.0439089
+0.043973
+0.0441429
+0.0443814
+0.0447261
+0.0451745
+0.0457189
+0.0463572
+0.0470889
+0.0478893
+0.0470975
+0.0461238
+0.0452353
+0.0444371
+0.0437276
+0.0431166
+0.0426096
+0.0422103
+0.0419218
+0.0417465
+0.0416857
+0.0417399
+0.0419088
+0.0419565
+0.0419995
+0.0421566
+0.0424263
+0.0428065
+0.0432889
+0.0436498
+0.0437848
+0.0434588
+0.0430793
+0.0428087
+0.0426491
+0.0426007
+0.0426443
+0.0427999
+0.0430665
+0.0434421
+0.0439238
+0.0445083
+0.0451915
+0.0459691
+0.0468363
+0.0477883
+0.04882
+0.0499267
+0.0511033
+0.0523452
+0.0536478
+0.0550069
+0.0564183
+0.0881734
+0.0867087
+0.0852393
+0.0837826
+0.0823542
+0.0809531
+0.0795873
+0.078259
+0.0769701
+0.0757226
+0.0744026
+0.0730523
+0.0717435
+0.0704785
+0.0692518
+0.0680036
+0.0667859
+0.0656188
+0.0644731
+0.0633417
+0.0622667
+0.0612489
+0.0602068
+0.0591614
+0.0581797
+0.057265
+0.0564157
+0.0555445
+0.0546676
+0.0537792
+0.0529438
+0.0521735
+0.0514806
+0.0508727
+0.0499064
+0.048811
+0.047791
+0.0468514
+0.0459917
+0.0452081
+0.0445084
+0.0438647
+0.0433142
+0.0428658
+0.042516
+0.0422647
+0.0421259
+0.0420986
+0.0421654
+0.0423452
+0.0425938
+0.0429529
+0.0434196
+0.0439831
+0.0446463
+0.0454055
+0.0458633
+0.0450787
+0.0441523
+0.0432232
+0.0423872
+0.0416457
+0.0410037
+0.0404702
+0.0400496
+0.0397455
+0.0395605
+0.0394963
+0.0395536
+0.0397318
+0.0397696
+0.039815
+0.0399806
+0.0402649
+0.0406654
+0.0411676
+0.0414807
+0.0416138
+0.0413138
+0.0409144
+0.0406294
+0.0404612
+0.0404103
+0.0404563
+0.0406202
+0.040901
+0.0412963
+0.0418028
+0.0424165
+0.0431329
+0.0439469
+0.0448532
+0.0458463
+0.0469208
+0.0480712
+0.0492921
+0.0505785
+0.0519255
+0.0533285
+0.0547831
+0.0868092
+0.0853211
+0.0838638
+0.0824007
+0.080948
+0.0795237
+0.0781349
+0.0767826
+0.0754685
+0.0741958
+0.0729667
+0.071619
+0.0702835
+0.0689918
+0.0677381
+0.066531
+0.0652861
+0.0640916
+0.0629508
+0.061817
+0.0607151
+0.0596733
+0.0586421
+0.0575979
+0.0565891
+0.0556482
+0.0547789
+0.0539181
+0.0530733
+0.0521924
+0.0513418
+0.0505434
+0.0498278
+0.0491995
+0.0484077
+0.0472903
+0.0462368
+0.0452648
+0.0443749
+0.0435622
+0.0428357
+0.0421664
+0.0415973
+0.0411301
+0.0407616
+0.0404994
+0.0403546
+0.040326
+0.0403958
+0.0405839
+0.0408455
+0.0412198
+0.0417042
+0.0422896
+0.0429789
+0.0437671
+0.0438532
+0.0430319
+0.0422024
+0.0412294
+0.0403521
+0.0395756
+0.0388994
+0.0383367
+0.0378924
+0.0375708
+0.0373751
+0.0373072
+0.0373678
+0.0375563
+0.0375832
+0.0376312
+0.0378064
+0.0381069
+0.0385298
+0.0390539
+0.039314
+0.0394448
+0.0391739
+0.0387525
+0.0384514
+0.0382736
+0.0382198
+0.0382685
+0.0384418
+0.0387384
+0.0391555
+0.0396893
+0.0403352
+0.0410878
+0.0419415
+0.0428903
+0.0439278
+0.0450481
+0.0462451
+0.047513
+0.0488462
+0.0502397
+0.0516884
+0.053188
+0.0854563
+0.0839677
+0.0824865
+0.0810375
+0.0795772
+0.0781279
+0.0767139
+0.075337
+0.0739982
+0.0726998
+0.071445
+0.0702248
+0.0688623
+0.0675433
+0.0662622
+0.0650277
+0.0638262
+0.0626039
+0.0614355
+0.060324
+0.0592038
+0.0581349
+0.0571057
+0.0560763
+0.0550396
+0.0540719
+0.0531768
+0.0523329
+0.0514859
+0.0506439
+0.0497723
+0.0489571
+0.048218
+0.0475602
+0.0469568
+0.0458174
+0.0447358
+0.0437305
+0.0428092
+0.0419662
+0.0412116
+0.0405155
+0.0399235
+0.0394365
+0.0390512
+0.0387775
+0.0386262
+0.0385964
+0.0386693
+0.0388658
+0.0391417
+0.0395321
+0.0400342
+0.0406437
+0.0413604
+0.0421788
+0.0418611
+0.041
+0.0402399
+0.0392566
+0.0383341
+0.037517
+0.0368053
+0.03621
+0.0357393
+0.0353981
+0.0351903
+0.0351182
+0.0351826
+0.0353827
+0.0353973
+0.0354483
+0.0356342
+0.0359528
+0.0364005
+0.0369491
+0.0371501
+0.0372785
+0.0370399
+0.0365939
+0.036275
+0.0360864
+0.0360294
+0.036081
+0.0362648
+0.036579
+0.0370205
+0.0375846
+0.038266
+0.0390586
+0.0399557
+0.0409504
+0.0420359
+0.0432053
+0.0444519
+0.0457695
+0.0471521
+0.0485941
+0.0500905
+0.0516234
+0.0840112
+0.0826418
+0.0811451
+0.0796716
+0.0782317
+0.0767693
+0.0753297
+0.0739271
+0.0725635
+0.0712398
+0.0699588
+0.0687238
+0.0674796
+0.0661329
+0.0648267
+0.0635644
+0.0623535
+0.061152
+0.0599553
+0.0588158
+0.0577269
+0.0566316
+0.0556011
+0.0545649
+0.0535351
+0.0525396
+0.051618
+0.0507742
+0.0499196
+0.0490922
+0.0482502
+0.0474181
+0.0466554
+0.0459655
+0.0453675
+0.04439
+0.0432905
+0.042254
+0.0413004
+0.0404259
+0.039642
+0.0389178
+0.0383011
+0.0377933
+0.0373911
+0.0371051
+0.036947
+0.0369158
+0.036992
+0.0371974
+0.0374874
+0.0378948
+0.0384165
+0.0390513
+0.0397967
+0.0406466
+0.03989
+0.0389853
+0.0381851
+0.0373081
+0.0363362
+0.0354731
+0.034723
+0.0340914
+0.033591
+0.0332278
+0.0330063
+0.0329294
+0.0329981
+0.0332114
+0.033212
+0.0332664
+0.0334644
+0.0338035
+0.0342741
+0.034855
+0.0349895
+0.0351151
+0.0349129
+0.0344394
+0.0341003
+0.0338997
+0.033839
+0.033894
+0.0340895
+0.0344237
+0.0348924
+0.0354904
+0.0362112
+0.0370478
+0.0379924
+0.0390372
+0.0401744
+0.0413964
+0.0426958
+0.044066
+0.0455003
+0.0469931
+0.0485254
+0.0501022
+0.0825939
+0.0812134
+0.0798412
+0.0783432
+0.0768785
+0.0754445
+0.0739846
+0.0725559
+0.071166
+0.0698172
+0.0685104
+0.0672488
+0.0660357
+0.0647591
+0.0634303
+0.0621439
+0.0609047
+0.0597203
+0.0585174
+0.0573494
+0.0562425
+0.0551678
+0.0541094
+0.0530914
+0.0520687
+0.0510447
+0.0500955
+0.0492257
+0.0484017
+0.047584
+0.046757
+0.0459229
+0.0451366
+0.0444215
+0.0438045
+0.0430268
+0.0418916
+0.04084
+0.0398549
+0.038948
+0.0381337
+0.0373803
+0.0367378
+0.0362081
+0.0357881
+0.0354891
+0.0353238
+0.0352912
+0.0353709
+0.0355856
+0.0358886
+0.036314
+0.0368581
+0.0375193
+0.0382945
+0.038995
+0.0379428
+0.0369906
+0.0361463
+0.035388
+0.0343618
+0.0334478
+0.0326549
+0.0319825
+0.0314486
+0.0310604
+0.0308233
+0.0307409
+0.0308144
+0.0310428
+0.0310274
+0.0310857
+0.0312975
+0.0316598
+0.032155
+0.0327734
+0.0328329
+0.0329554
+0.0327944
+0.0322898
+0.0319279
+0.0317135
+0.0316487
+0.0317075
+0.0319164
+0.032273
+0.0327725
+0.0334085
+0.0341733
+0.0350585
+0.0360553
+0.0371546
+0.0383476
+0.039626
+0.0409816
+0.0424072
+0.0438958
+0.0454273
+0.0470059
+0.048632
+0.081211
+0.0798066
+0.0784382
+0.0770542
+0.0755644
+0.0741078
+0.0726787
+0.0712257
+0.0698094
+0.0684338
+0.0671016
+0.0658136
+0.0645736
+0.0633851
+0.062074
+0.0607655
+0.0595013
+0.0582884
+0.0571208
+0.0559304
+0.0547948
+0.0537246
+0.0526666
+0.0516499
+0.0506335
+0.0495966
+0.0486192
+0.0477225
+0.0469109
+0.046095
+0.0452768
+0.044485
+0.0436733
+0.0429339
+0.0422951
+0.0417306
+0.0405628
+0.0394765
+0.0384725
+0.0375398
+0.0366943
+0.0359107
+0.0352414
+0.0346888
+0.0342502
+0.0339377
+0.0337648
+0.0337306
+0.0338141
+0.0340386
+0.0343553
+0.0347994
+0.0353668
+0.0360553
+0.0368613
+0.0371303
+0.0360237
+0.0350194
+0.0341263
+0.0333533
+0.0324152
+0.0314446
+0.0306004
+0.0298854
+0.0293133
+0.0288964
+0.0286414
+0.0285527
+0.0286319
+0.0288775
+0.0288439
+0.0289065
+0.0291341
+0.029523
+0.0300461
+0.0306248
+0.0306802
+0.0308
+0.0306859
+0.0301461
+0.0297581
+0.0295279
+0.0294584
+0.0295216
+0.0297459
+0.0301282
+0.0306627
+0.0313415
+0.0321555
+0.0330947
+0.0341488
+0.0353075
+0.0365609
+0.0378996
+0.0393148
+0.0407986
+0.0423292
+0.0439099
+0.0455412
+0.0472177
+0.0798643
+0.0784358
+0.077043
+0.0756881
+0.0742918
+0.0728082
+0.071357
+0.0699389
+0.0684959
+0.0670935
+0.0657341
+0.0644206
+0.0631537
+0.061938
+0.0607664
+0.0594292
+0.0581437
+0.0569048
+0.0557214
+0.0545578
+0.0533978
+0.052299
+0.0512703
+0.050232
+0.0492225
+0.0482021
+0.0471985
+0.0462742
+0.0454368
+0.0446512
+0.0438452
+0.0430578
+0.0422729
+0.0415086
+0.0408476
+0.0402763
+0.0393112
+0.0381893
+0.0371505
+0.0362015
+0.0353302
+0.0345176
+0.0338208
+0.0332446
+0.0327866
+0.0324601
+0.0322792
+0.0322435
+0.0323308
+0.0325655
+0.0328964
+0.03336
+0.0339514
+0.034668
+0.0355056
+0.0351963
+0.0341373
+0.0330757
+0.0321286
+0.0313064
+0.0305017
+0.0294682
+0.0285656
+0.0278027
+0.0271868
+0.0267368
+0.026461
+0.026365
+0.0264507
+0.0267164
+0.0266614
+0.0267292
+0.0269752
+0.0273947
+0.0279499
+0.0284748
+0.0285211
+0.0286477
+0.0285898
+0.0280096
+0.0275916
+0.0273432
+0.0272681
+0.0273365
+0.0275785
+0.0279905
+0.028565
+0.0292924
+0.0301617
+0.0311611
+0.0322785
+0.0335019
+0.0348204
+0.0362234
+0.0377016
+0.0392312
+0.0408143
+0.0424514
+0.0441366
+0.0458645
+0.0785556
+0.0771028
+0.0756855
+0.0743059
+0.0729659
+0.0715521
+0.0700749
+0.0686358
+0.0672282
+0.0657988
+0.0644121
+0.063071
+0.0617786
+0.0605355
+0.059347
+0.0581446
+0.0568301
+0.0555709
+0.0543608
+0.0532111
+0.0520531
+0.0509277
+0.0498708
+0.0488712
+0.0478521
+0.0468559
+0.0458384
+0.0448861
+0.0440223
+0.0432523
+0.0424625
+0.0416624
+0.040942
+0.0401523
+0.0394675
+0.0388766
+0.0381265
+0.0369872
+0.0359137
+0.0349311
+0.0340273
+0.0331944
+0.0324859
+0.0318856
+0.0314037
+0.0310626
+0.0308736
+0.0308387
+0.0309317
+0.0311769
+0.0315224
+0.0320059
+0.0326218
+0.033367
+0.0340483
+0.0331686
+0.0322894
+0.0311649
+0.0301578
+0.0292803
+0.0285444
+0.0275242
+0.0265556
+0.0257375
+0.0250714
+0.0245827
+0.0242825
+0.0241778
+0.0242712
+0.024557
+0.0244805
+0.0245542
+0.0248218
+0.0252718
+0.0258693
+0.0263314
+0.0263673
+0.026498
+0.026509
+0.0258822
+0.0254293
+0.0251596
+0.025078
+0.0251523
+0.0254152
+0.0258616
+0.0264823
+0.0272654
+0.0281973
+0.0292638
+0.0304509
+0.0317449
+0.0331333
+0.0346048
+0.0361331
+0.037719
+0.039363
+0.041058
+0.0427981
+0.0445779
+0.0772468
+0.0758097
+0.0743678
+0.0729632
+0.0715981
+0.0702748
+0.0688386
+0.0673731
+0.0659479
+0.0645524
+0.0631384
+0.0617697
+0.0604494
+0.0591808
+0.0579646
+0.0568068
+0.0555719
+0.0542835
+0.0530543
+0.0518772
+0.050754
+0.0496153
+0.0485298
+0.0475205
+0.0465446
+0.0455197
+0.0445347
+0.0435641
+0.0426735
+0.0418787
+0.0411185
+0.040336
+0.0396
+0.0388485
+0.0381387
+0.0375434
+0.0370309
+0.0358647
+0.0347709
+0.0337551
+0.0328189
+0.0319546
+0.0312204
+0.0305964
+0.0301029
+0.0297469
+0.0295495
+0.0295138
+0.029615
+0.0298711
+0.0302447
+0.0307483
+0.031389
+0.0321628
+0.032088
+0.0311553
+0.0303356
+0.0292932
+0.0282195
+0.0272797
+0.0264882
+0.0256201
+0.0245766
+0.0236902
+0.0229701
+0.0224357
+0.0221063
+0.0219913
+0.022094
+0.0224021
+0.0223015
+0.0223824
+0.0226756
+0.0231579
+0.0238085
+0.0241953
+0.0242201
+0.0243534
+0.0244475
+0.0237663
+0.0232722
+0.0229772
+0.0228879
+0.0229694
+0.0232569
+0.023744
+0.0244186
+0.0252657
+0.0262686
+0.0274103
+0.0286742
+0.0300448
+0.0315082
+0.0330351
+0.0346242
+0.0362762
+0.0379826
+0.0397366
+0.0415321
+0.0433639
+0.0759582
+0.0745108
+0.073092
+0.0716624
+0.070272
+0.0689233
+0.0676186
+0.0661589
+0.0647069
+0.0632975
+0.061916
+0.0605197
+0.0591715
+0.0578749
+0.0566333
+0.0554477
+0.0543246
+0.0530553
+0.051797
+0.0506023
+0.0494629
+0.0483497
+0.0472524
+0.0462152
+0.0452604
+0.0442518
+0.0432835
+0.0423076
+0.0413967
+0.040577
+0.0398497
+0.039079
+0.038319
+0.0376227
+0.0368921
+0.0362764
+0.0357844
+0.0348317
+0.0337283
+0.0326838
+0.031716
+0.0308208
+0.0300589
+0.0294104
+0.0289098
+0.028539
+0.0283331
+0.0282959
+0.0283998
+0.0286668
+0.0290762
+0.0295997
+0.0302647
+0.0310665
+0.0301594
+0.0291651
+0.0282988
+0.0274688
+0.0263208
+0.0253106
+0.0244554
+0.0237603
+0.0226365
+0.0216709
+0.0208872
+0.020298
+0.0199333
+0.0198057
+0.0199196
+0.0202418
+0.020125
+0.0202146
+0.0205388
+0.0210596
+0.021773
+0.0220644
+0.0220815
+0.0222179
+0.0224104
+0.0216653
+0.0211222
+0.0207967
+0.020698
+0.0207881
+0.0211054
+0.0216409
+0.022379
+0.0233004
+0.0243843
+0.0256101
+0.0269585
+0.028412
+0.029937
+0.0315301
+0.0331914
+0.0349112
+0.0366812
+0.0384946
+0.0403454
+0.0422287
+0.0746382
+0.0732396
+0.0718043
+0.0704057
+0.06899
+0.0676157
+0.0662853
+0.0649958
+0.0635173
+0.0620808
+0.0606895
+0.0593243
+0.0579483
+0.0566237
+0.0553541
+0.0541431
+0.0529924
+0.0518906
+0.0506033
+0.0493797
+0.0482244
+0.0471286
+0.0460176
+0.0449726
+0.0439971
+0.0430571
+0.0420622
+0.0411246
+0.0401908
+0.0393459
+0.038607
+0.0378909
+0.037123
+0.036454
+0.0357365
+0.0351005
+0.0345918
+0.0339089
+0.0327744
+0.0317239
+0.03073
+0.0298051
+0.0290166
+0.0283444
+0.0278275
+0.0274529
+0.0272389
+0.0272001
+0.0273066
+0.0275842
+0.0280045
+0.0285477
+0.0292452
+0.0294571
+0.028269
+0.0272058
+0.0262824
+0.0254894
+0.0244709
+0.0233809
+0.0224524
+0.0217059
+0.0207464
+0.0196884
+0.0188262
+0.0181729
+0.0177647
+0.0176214
+0.0177494
+0.0180808
+0.0179519
+0.0180523
+0.0184147
+0.0189823
+0.0197708
+0.0199433
+0.0199541
+0.0200942
+0.0203761
+0.019584
+0.0189814
+0.0186185
+0.0185083
+0.018609
+0.0189628
+0.0195571
+0.0203708
+0.0213789
+0.0225554
+0.0238753
+0.0253162
+0.026839
+0.0284369
+0.0301095
+0.031845
+0.0336337
+0.0354676
+0.0373399
+0.0392451
+0.0411788
+0.0733461
+0.071941
+0.0705524
+0.0691307
+0.06775
+0.0663547
+0.0649985
+0.0636887
+0.0623819
+0.0609187
+0.0595001
+0.0581296
+0.0567833
+0.0554308
+0.0541332
+0.0528946
+0.0517187
+0.0506076
+0.0494779
+0.0482258
+0.0470423
+0.0459317
+0.0448531
+0.0437803
+0.0427929
+0.0418809
+0.0409217
+0.039993
+0.0390646
+0.0381968
+0.0374352
+0.036772
+0.0360195
+0.0353308
+0.0346696
+0.0340252
+0.0335002
+0.0331015
+0.0319425
+0.0308638
+0.0298723
+0.02892
+0.0281066
+0.0274123
+0.0268775
+0.0264903
+0.0262684
+0.0262282
+0.0263471
+0.0266346
+0.0270606
+0.0276223
+0.0283426
+0.0276772
+0.0264251
+0.0252844
+0.0242881
+0.023441
+0.0226757
+0.0215013
+0.0204877
+0.0196669
+0.0189071
+0.0177548
+0.0167941
+0.0160643
+0.0156021
+0.0154387
+0.0155788
+0.015928
+0.0157837
+0.0158979
+0.0163029
+0.0169335
+0.0178129
+0.0178374
+0.0178421
+0.0179865
+0.0182624
+0.0175293
+0.0168534
+0.0164436
+0.0163188
+0.016433
+0.0168326
+0.0174994
+0.0184043
+0.0195143
+0.0207965
+0.0222211
+0.023741
+0.0253449
+0.0270313
+0.0287857
+0.0305964
+0.032454
+0.0343508
+0.0362808
+0.0382389
+0.040221
+0.0720862
+0.0706649
+0.0692773
+0.0679001
+0.0664939
+0.065131
+0.063761
+0.0624253
+0.0611389
+0.0598142
+0.0583688
+0.0569711
+0.0556245
+0.0543002
+0.0529749
+0.0517085
+0.0505055
+0.0493696
+0.0483039
+0.0471447
+0.0459335
+0.0447967
+0.0437185
+0.0426673
+0.0416535
+0.0407164
+0.0398494
+0.0389103
+0.0380095
+0.0371394
+0.0363578
+0.0356915
+0.0350048
+0.034311
+0.0337038
+0.0330586
+0.0325196
+0.0321099
+0.0312424
+0.0301386
+0.0291543
+0.0281778
+0.0273423
+0.0266283
+0.0260774
+0.0256779
+0.0254489
+0.0254074
+0.0255302
+0.0258268
+0.0262659
+0.0268442
+0.027185
+0.025949
+0.0246265
+0.0234104
+0.0223307
+0.0214202
+0.0206679
+0.0196861
+0.0185738
+0.0176642
+0.0169901
+0.015885
+0.0148067
+0.0139754
+0.0134463
+0.0132563
+0.0134125
+0.0137871
+0.0136228
+0.0137548
+0.0142057
+0.0149251
+0.0159159
+0.0157463
+0.0157503
+0.0159014
+0.0161692
+0.015512
+0.0147438
+0.0142736
+0.0141297
+0.0142615
+0.0147202
+0.0154782
+0.0164944
+0.0177244
+0.019127
+0.020643
+0.0222545
+0.0239581
+0.0257356
+0.0275725
+0.0294579
+0.0313829
+0.0333408
+0.035326
+0.0373342
+0.0393619
+0.0708699
+0.0694237
+0.0680173
+0.0666512
+0.0652872
+0.0638985
+0.0625558
+0.0612142
+0.0599019
+0.058642
+0.057299
+0.0558745
+0.0545008
+0.0531819
+0.0518833
+0.0505896
+0.0493592
+0.0481971
+0.0471073
+0.0460791
+0.0448981
+0.0437344
+0.0426294
+0.0415885
+0.0406004
+0.0396388
+0.0387725
+0.0379035
+0.0370272
+0.0361609
+0.0353811
+0.0346983
+0.0340757
+0.0333939
+0.0328052
+0.0321939
+0.0316424
+0.0312338
+0.030683
+0.0295583
+0.0285572
+0.02759
+0.0267361
+0.0260056
+0.0254413
+0.0250314
+0.0247965
+0.0247539
+0.0248799
+0.0251841
+0.0256342
+0.0257584
+0.0251762
+0.0242848
+0.0228759
+0.021589
+0.0204206
+0.019422
+0.0186045
+0.017932
+0.0167278
+0.0157118
+0.0149498
+0.0140744
+0.0128855
+0.011921
+0.0113008
+0.0110741
+0.0112558
+0.0116648
+0.0114731
+0.0116296
+0.0121414
+0.0129759
+0.0139029
+0.0136863
+0.0136829
+0.0138486
+0.0140459
+0.0135485
+0.0126618
+0.012111
+0.0119411
+0.012097
+0.0126345
+0.01351
+0.0146633
+0.0160343
+0.017545
+0.0191667
+0.0208924
+0.0226984
+0.0245672
+0.0264853
+0.0284428
+0.0304322
+0.0324474
+0.0344841
+0.0365377
+0.0386058
+0.0696323
+0.0682303
+0.0667988
+0.0654094
+0.0640647
+0.0627184
+0.0613498
+0.0600301
+0.0587205
+0.0574347
+0.0562049
+0.0548435
+0.0534433
+0.0520976
+0.0508108
+0.0495422
+0.0482852
+0.0470966
+0.0459817
+0.0449447
+0.0439071
+0.042758
+0.0416271
+0.0405605
+0.0395866
+0.0386555
+0.0377666
+0.0369863
+0.0361009
+0.0352908
+0.0344919
+0.0337936
+0.0332205
+0.0325924
+0.0320026
+0.0314517
+0.0308857
+0.0304669
+0.0301767
+0.0291317
+0.0281153
+0.027151
+0.026283
+0.0255561
+0.0249817
+0.024564
+0.0243245
+0.0242811
+0.0244095
+0.0247196
+0.0244835
+0.0238126
+0.0232003
+0.0226435
+0.0212019
+0.0198106
+0.0185711
+0.0174687
+0.0165739
+0.0158936
+0.0149639
+0.0138309
+0.0129588
+0.0123225
+0.0110378
+0.00992494
+0.00917474
+0.00889455
+0.00911523
+0.00956138
+0.00934247
+0.00953399
+0.0101305
+0.0111169
+0.0119215
+0.011674
+0.0116578
+0.0118048
+0.0119391
+0.0116343
+0.0106235
+0.00996071
+0.00975347
+0.00994373
+0.0105911
+0.0116217
+0.0129442
+0.0144472
+0.0160827
+0.0178378
+0.0196804
+0.0215881
+0.0235451
+0.0255401
+0.0275648
+0.0296126
+0.0316784
+0.03376
+0.0358545
+0.0379599
+0.0684177
+0.0670128
+0.0656219
+0.0642161
+0.0628459
+0.0615232
+0.0601889
+0.0588539
+0.0575603
+0.0562868
+0.0550313
+0.0538337
+0.052456
+0.0510844
+0.0497714
+0.0485195
+0.0472884
+0.0460741
+0.0449338
+0.0438733
+0.0428734
+0.0418519
+0.0407181
+0.0396271
+0.0386296
+0.0377331
+0.0368636
+0.0360637
+0.0352865
+0.034483
+0.0337213
+0.0330067
+0.0324196
+0.0318977
+0.0313189
+0.0307981
+0.0302569
+0.0298294
+0.0295451
+0.0288654
+0.0278393
+0.0268651
+0.0259875
+0.0252562
+0.0246746
+0.0242557
+0.0240132
+0.0239692
+0.024125
+0.023529
+0.0226404
+0.0219131
+0.0212665
+0.0207685
+0.0195473
+0.0181202
+0.0167573
+0.0155787
+0.0145775
+0.0138118
+0.013301
+0.0120551
+0.0110437
+0.0104019
+0.0092928
+0.00803003
+0.00708301
+0.00672231
+0.00700575
+0.00745355
+0.00724766
+0.00748715
+0.00821199
+0.00940187
+0.0100049
+0.00973219
+0.00966408
+0.00980517
+0.00986875
+0.00982324
+0.00866007
+0.00783283
+0.00756603
+0.00780991
+0.00861906
+0.00985798
+0.0113494
+0.0130056
+0.0148013
+0.0166917
+0.0186478
+0.0206512
+0.0226891
+0.0247511
+0.0268335
+0.0289318
+0.031043
+0.0331644
+0.0352943
+0.0374313
+0.0672525
+0.0658228
+0.064435
+0.0630565
+0.0616699
+0.0603207
+0.059022
+0.0576994
+0.0563984
+0.0551399
+0.0538969
+0.0526712
+0.0515062
+0.0501464
+0.0488081
+0.0475309
+0.0463161
+0.0451347
+0.0439701
+0.0428858
+0.0418881
+0.0408837
+0.0399088
+0.038795
+0.0377756
+0.0368583
+0.0360509
+0.0352534
+0.0345553
+0.0337597
+0.0330514
+0.0323374
+0.03175
+0.0312771
+0.0307639
+0.0302447
+0.0297443
+0.0293226
+0.0290469
+0.0287321
+0.0277036
+0.0267561
+0.0258748
+0.0251402
+0.0245558
+0.024135
+0.0238912
+0.023847
+0.022914
+0.0218033
+0.0208642
+0.0200731
+0.0193853
+0.0188399
+0.0180075
+0.0164518
+0.015043
+0.0137242
+0.012635
+0.0117696
+0.0112056
+0.0103958
+0.00925167
+0.00847525
+0.0075775
+0.00625615
+0.00507546
+0.0045677
+0.00496707
+0.00540972
+0.00519671
+0.00552131
+0.00646877
+0.00788917
+0.00822569
+0.00791201
+0.00777659
+0.00786437
+0.00785957
+0.00783163
+0.00677085
+0.00575212
+0.00537902
+0.00571677
+0.00678048
+0.00825196
+0.00994144
+0.011797
+0.0137514
+0.0157681
+0.017824
+0.0199077
+0.0220123
+0.0241321
+0.0262636
+0.0284041
+0.0305517
+0.0327051
+0.0348631
+0.0370249
+0.0661394
+0.0646851
+0.0632731
+0.0618973
+0.0605399
+0.0591714
+0.0578469
+0.0565762
+0.0552714
+0.0539961
+0.0527755
+0.0515674
+0.0503769
+0.0492365
+0.0479258
+0.0466244
+0.0453853
+0.0442201
+0.0430853
+0.0419744
+0.0409507
+0.0400057
+0.0390386
+0.038071
+0.0370316
+0.0360954
+0.0352706
+0.0345542
+0.0338385
+0.0331514
+0.0324451
+0.031788
+0.0311992
+0.0307551
+0.0303332
+0.0298417
+0.0293681
+0.0289595
+0.0286845
+0.0285665
+0.0277377
+0.0268262
+0.0259472
+0.0252147
+0.0246321
+0.0242126
+0.0239696
+0.022704
+0.021364
+0.0201681
+0.019149
+0.0183104
+0.0175756
+0.0169707
+0.0165876
+0.0149142
+0.0133575
+0.0119765
+0.0107284
+0.00978099
+0.00909758
+0.0086995
+0.00764232
+0.00669105
+0.00606484
+0.00457286
+0.00325319
+0.00247724
+0.00314027
+0.00341185
+0.00325937
+0.00375363
+0.0050385
+0.00675062
+0.00659113
+0.00626567
+0.00604699
+0.00599346
+0.00591834
+0.00577823
+0.00508525
+0.0037799
+0.00319502
+0.00373339
+0.00515526
+0.00690766
+0.00885738
+0.0108974
+0.0129839
+0.0151
+0.0172347
+0.0193819
+0.0215379
+0.0237002
+0.0258673
+0.0280381
+0.0302117
+0.0323877
+0.0345655
+0.0367448
+0.0650171
+0.0635942
+0.062166
+0.0607745
+0.0594125
+0.0580796
+0.056732
+0.0554358
+0.0541971
+0.0529054
+0.051659
+0.050477
+0.049319
+0.0481726
+0.0470541
+0.0458048
+0.0445429
+0.0433551
+0.0422475
+0.0411524
+0.0401077
+0.0391578
+0.0382212
+0.037356
+0.0364045
+0.0354517
+0.0346116
+0.0338924
+0.0332348
+0.0326374
+0.0319621
+0.0313709
+0.0307828
+0.0303359
+0.0300006
+0.0295679
+0.0291443
+0.0287405
+0.0284634
+0.0283444
+0.027944
+0.0270587
+0.0262033
+0.0254781
+0.0249017
+0.0244326
+0.0228376
+0.0213479
+0.0199346
+0.0186472
+0.01754
+0.01663
+0.0158364
+0.015171
+0.014741
+0.0135575
+0.0118234
+0.0102654
+0.00893177
+0.0078126
+0.00701104
+0.00652848
+0.00631998
+0.00515391
+0.00468028
+0.00312697
+0.00171089
+0.000805874
+0.00198962
+0.00160712
+0.00165395
+0.00256934
+0.00423709
+0.00543577
+0.00518486
+0.00492096
+0.0046496
+0.00437027
+0.00415596
+0.0038696
+0.0034697
+0.0019952
+0.00101847
+0.00206273
+0.00397427
+0.00606878
+0.00821355
+0.0103775
+0.0125508
+0.0147292
+0.0169108
+0.0190944
+0.0212795
+0.0234657
+0.0256526
+0.0278401
+0.0300281
+0.0322165
+0.0344051
+0.036594
+0.0639274
+0.0624909
+0.0610911
+0.0597014
+0.0583334
+0.0569877
+0.0556811
+0.0543598
+0.053096
+0.0518749
+0.0506128
+0.0494057
+0.0482679
+0.0471668
+0.0460672
+0.0449794
+0.043794
+0.0425853
+0.0414571
+0.0403986
+0.0393687
+0.0384005
+0.0374945
+0.0366122
+0.0358271
+0.0349338
+0.0340808
+0.0333502
+0.0327501
+0.0321608
+0.0316115
+0.0310368
+0.0305092
+0.0300643
+0.0297715
+0.0294492
+0.0290282
+0.0286875
+0.0284099
+0.0282908
+0.0281484
+0.0274456
+0.0266376
+0.0259153
+0.0251124
+0.0233589
+0.0216851
+0.0201102
+0.0186295
+0.0172709
+0.0160691
+0.01507
+0.0142113
+0.0134659
+0.0130017
+0.0124377
+0.0105244
+0.00873776
+0.00717866
+0.00593529
+0.00500923
+0.00437711
+0.00438137
+0.00400442
+0.00307032
+0.00182794
+0.000395314
+0.000554473
+0.00039961
+0.000129525
+0.000663084
+0.00245692
+0.00369453
+0.00443722
+0.00427126
+0.0040021
+0.00364801
+0.00319553
+0.00275213
+0.00228011
+0.00166247
+0.000647776
+-0.00025304
+0.00155674
+0.00371729
+0.00589874
+0.0080852
+0.0102735
+0.0124626
+0.0146522
+0.016842
+0.0190321
+0.0212223
+0.0234126
+0.0256029
+0.0277933
+0.0299838
+0.0321742
+0.0343648
+0.0365553
+0.0628255
+0.0614287
+0.0600181
+0.0586409
+0.0572967
+0.0559561
+0.054631
+0.0533521
+0.0520639
+0.0508375
+0.0496279
+0.0484096
+0.0472482
+0.0461612
+0.0451104
+0.0440684
+0.043024
+0.0419159
+0.0407516
+0.039669
+0.0386803
+0.0377554
+0.036844
+0.0359762
+0.0351875
+0.034498
+0.0336845
+0.0329451
+0.0323282
+0.0317917
+0.0313203
+0.0308134
+0.0303677
+0.0299448
+0.0296427
+0.029403
+0.0290772
+0.0287884
+0.0285076
+0.0283934
+0.0282647
+0.0279848
+0.0272079
+0.0260584
+0.0242321
+0.0224483
+0.020701
+0.0190449
+0.0174742
+0.0160455
+0.0147777
+0.0136839
+0.0127566
+0.0119205
+0.0114189
+0.0112737
+0.00950609
+0.00754427
+0.00566574
+0.00410814
+0.00305979
+0.0022859
+0.00237609
+0.00221101
+0.00103465
+0.000141716
+-0.000980776
+-0.000525065
+-0.00103163
+-0.00132097
+0.000577128
+0.00100266
+0.00211093
+0.00392754
+0.00404546
+0.00378973
+0.00339712
+0.00290861
+0.00228381
+0.00164576
+0.000999639
+0.000666502
+0.00122981
+0.00260767
+0.00440843
+0.00640607
+0.00848106
+0.0105878
+0.0127229
+0.0148743
+0.0170356
+0.0192036
+0.0213762
+0.0235522
+0.0257307
+0.027911
+0.0300929
+0.032276
+0.03446
+0.0366449
+0.0617029
+0.0603498
+0.0589758
+0.0576059
+0.0562522
+0.0549284
+0.0536455
+0.0523514
+0.0511007
+0.0498548
+0.0486714
+0.0474768
+0.0463069
+0.0452001
+0.0441714
+0.0431784
+0.0422026
+0.0412048
+0.0401482
+0.0390488
+0.038044
+0.0371413
+0.0363035
+0.0354486
+0.0346528
+0.0339748
+0.0333855
+0.0326821
+0.0320311
+0.0314773
+0.030769
+0.0301795
+0.0297243
+0.0294256
+0.0292881
+0.0292906
+0.0292904
+0.0290281
+0.0287572
+0.0286441
+0.0285491
+0.0285696
+0.0272433
+0.0253442
+0.0234794
+0.0216593
+0.019889
+0.0181754
+0.0165298
+0.0150115
+0.0136768
+0.0125216
+0.0115368
+0.0106049
+0.0100666
+0.00990162
+0.00879582
+0.00672554
+0.00462495
+0.00264259
+0.00107153
+0.000255076
+0.00054249
+0.000549459
+-0.000734536
+-0.00163512
+-0.00247033
+-0.00220314
+-0.00258118
+-0.00236465
+-0.00131429
+-0.000593697
+0.00138494
+0.00355551
+0.00445478
+0.00436864
+0.00408022
+0.00364779
+0.00303664
+0.00250079
+0.00215896
+0.00226042
+0.00295862
+0.00418417
+0.00567446
+0.00742417
+0.00930257
+0.0112844
+0.0133318
+0.0154078
+0.0175034
+0.0196197
+0.0217508
+0.0238927
+0.0260427
+0.028199
+0.0303602
+0.0325253
+0.0346937
+0.0368646
+0.0606388
+0.0592614
+0.0579341
+0.0565862
+0.0552621
+0.0539269
+0.0526358
+0.0514056
+0.0501449
+0.0489344
+0.0477447
+0.0466107
+0.0454353
+0.0443198
+0.0432771
+0.0423151
+0.0413885
+0.0404832
+0.0395258
+0.0385433
+0.0375249
+0.0366095
+0.0358014
+0.0350456
+0.0342452
+0.0335641
+0.0325549
+0.0314369
+0.0304214
+0.0295258
+0.0287694
+0.0281506
+0.0276621
+0.0273408
+0.0271928
+0.027196
+0.0273568
+0.027666
+0.0281182
+0.0281879
+0.028062
+0.0280901
+0.026723
+0.0247841
+0.022874
+0.0210158
+0.0192278
+0.0174922
+0.0158224
+0.0142418
+0.0128273
+0.0116051
+0.0106129
+0.00959759
+0.00900438
+0.00852544
+0.00807226
+0.00628031
+0.00418787
+0.00207199
+-2.9911e-05
+-0.00165531
+-0.00132414
+-0.00152324
+-0.00220271
+-0.003387
+-0.00435712
+-0.00392277
+-0.00420734
+-0.00274099
+-0.000666747
+0.000808069
+0.00188511
+0.00277843
+0.0038365
+0.00538737
+0.00542118
+0.00501732
+0.00451429
+0.00415567
+0.00401573
+0.00420815
+0.00487626
+0.00589584
+0.00723774
+0.00875593
+0.0104541
+0.0122977
+0.0141997
+0.016175
+0.0181996
+0.0202587
+0.022335
+0.0244257
+0.0265326
+0.028652
+0.0307814
+0.0329188
+0.0350629
+0.0372123
+0.0596362
+0.0582351
+0.0568838
+0.0555861
+0.0542683
+0.0529957
+0.0516829
+0.0504295
+0.0492416
+0.0480355
+0.046873
+0.0457472
+0.0446542
+0.0435187
+0.042466
+0.0414904
+0.0405992
+0.039745
+0.0388921
+0.0379966
+0.0371099
+0.0361839
+0.0353695
+0.0346639
+0.0334642
+0.032091
+0.0308124
+0.0296323
+0.0285659
+0.0276101
+0.0267998
+0.0261479
+0.0256211
+0.025274
+0.0251138
+0.0251177
+0.0252991
+0.0256343
+0.0260994
+0.0261717
+0.0260388
+0.0260691
+0.0262798
+0.0244084
+0.0224663
+0.0205713
+0.018741
+0.0169961
+0.0153484
+0.0137457
+0.0122972
+0.0110346
+0.0100406
+0.00886212
+0.00768097
+0.0067014
+0.00611521
+0.00560245
+0.00394923
+0.00198807
+7.36383e-05
+-0.00179251
+-0.00296325
+-0.00353101
+-0.00414625
+-0.00513921
+-0.00629756
+-0.00586611
+-0.00513082
+-0.00315182
+-0.0014992
+-0.000721835
+7.23002e-05
+0.00103244
+0.00241063
+0.00427892
+0.00634147
+0.00675819
+0.00634464
+0.00609785
+0.00604972
+0.00627432
+0.00681956
+0.0077708
+0.00892627
+0.0103176
+0.0118433
+0.013515
+0.0153082
+0.0171792
+0.0190976
+0.0210692
+0.0230804
+0.0251216
+0.027186
+0.0292624
+0.0313504
+0.0334515
+0.0355634
+0.0376843
+0.0586983
+0.0572742
+0.0558997
+0.0545786
+0.0533148
+0.0520317
+0.050802
+0.049531
+0.0483211
+0.0471819
+0.0460299
+0.0449227
+0.0438778
+0.0428111
+0.0417443
+0.0407503
+0.0398425
+0.0390366
+0.038251
+0.0374615
+0.036666
+0.03548
+0.034272
+0.0331648
+0.0319084
+0.0304651
+0.0291152
+0.0278724
+0.0267489
+0.0257384
+0.0248671
+0.0241637
+0.0236071
+0.0232298
+0.0230554
+0.0230603
+0.0232604
+0.0236066
+0.0241107
+0.024176
+0.024045
+0.0240778
+0.0242998
+0.0242257
+0.0222676
+0.0203542
+0.0185023
+0.0167326
+0.0150738
+0.0135145
+0.0120851
+0.0106169
+0.00909382
+0.00764932
+0.00628579
+0.00517008
+0.0043569
+0.00401177
+0.0030898
+0.00162725
+-0.000469821
+-0.0021363
+-0.00339577
+-0.0048719
+-0.00624673
+-0.00707302
+-0.00801396
+-0.00665285
+-0.00511463
+-0.00364934
+-0.00229111
+-0.00118943
+-0.000241297
+0.000178381
+0.00180805
+0.00391834
+0.00608132
+0.0082589
+0.00831741
+0.00813942
+0.00816096
+0.00835325
+0.0088727
+0.00967078
+0.0107393
+0.0119913
+0.0134032
+0.0149348
+0.0165896
+0.018344
+0.0201838
+0.0220682
+0.0239958
+0.0259651
+0.0279674
+0.029996
+0.032046
+0.0341134
+0.0361899
+0.0382761
+0.0577872
+0.0563821
+0.0549853
+0.0536417
+0.0523553
+0.0511304
+0.0498872
+0.048702
+0.0474838
+0.0463241
+0.0452248
+0.0441478
+0.0431034
+0.0421191
+0.0410906
+0.0400941
+0.0391938
+0.0383743
+0.0376646
+0.0365807
+0.0351386
+0.0337766
+0.0325054
+0.0313359
+0.0302167
+0.0289138
+0.0274879
+0.0261679
+0.0249706
+0.0239145
+0.0229809
+0.0222177
+0.0216274
+0.021215
+0.0210238
+0.0210298
+0.0212477
+0.0216105
+0.0221601
+0.0222095
+0.02207
+0.0221209
+0.0223592
+0.022778
+0.0222835
+0.0203716
+0.0185215
+0.0167538
+0.0150973
+0.0133289
+0.0116572
+0.0100397
+0.00839124
+0.0068294
+0.00540842
+0.00407076
+0.00306861
+0.00246654
+0.0018554
+0.0009906
+-0.000329876
+-0.00220272
+-0.00415079
+-0.00555133
+-0.00666445
+-0.00794897
+-0.00861279
+-0.00684316
+-0.00539218
+-0.00445172
+-0.00286514
+-0.00181495
+-0.000397365
+0.00100088
+0.00285144
+0.00453294
+0.00651557
+0.00859975
+0.0103769
+0.0102324
+0.0102805
+0.0104767
+0.0109548
+0.0116373
+0.0126062
+0.0137493
+0.0150699
+0.0164933
+0.0180285
+0.0196717
+0.0213976
+0.0232021
+0.025067
+0.0269607
+0.028894
+0.0308618
+0.0328578
+0.0348772
+0.0369161
+0.0389715
+0.0569385
+0.0555148
+0.0541422
+0.0527791
+0.0514711
+0.0502247
+0.0490444
+0.0478474
+0.0467072
+0.0455481
+0.0444287
+0.0433874
+0.0423949
+0.0413997
+0.0404739
+0.0395241
+0.0386115
+0.0378039
+0.0366352
+0.0350665
+0.0335604
+0.0321324
+0.0307934
+0.0295562
+0.0284246
+0.0272619
+0.0259436
+0.0245406
+0.0232597
+0.0221221
+0.0211508
+0.0203217
+0.0196925
+0.0192386
+0.0190276
+0.0190349
+0.0192689
+0.019656
+0.0202581
+0.0202889
+0.0201362
+0.0201913
+0.02046
+0.0208994
+0.0215228
+0.0203267
+0.0184647
+0.016675
+0.014859
+0.0131553
+0.0114739
+0.00979329
+0.0081392
+0.00662981
+0.00521399
+0.00389187
+0.00277675
+0.00183488
+0.000606814
+-0.000207439
+-0.00102614
+-0.00223093
+-0.0039727
+-0.00536004
+-0.00671051
+-0.00831577
+-0.00918564
+-0.00766104
+-0.0063436
+-0.00522597
+-0.00382216
+-0.00258876
+-0.00111595
+0.000612283
+0.00275073
+0.0048057
+0.00684142
+0.00870781
+0.0105827
+0.0123593
+0.0124247
+0.0126232
+0.0130432
+0.01367
+0.0145339
+0.015596
+0.0167914
+0.0181551
+0.0195859
+0.0211236
+0.0227581
+0.0244624
+0.0262391
+0.0280743
+0.0299525
+0.031855
+0.0337924
+0.035759
+0.0377503
+0.0397626
+0.0561027
+0.0547139
+0.0533256
+0.0519876
+0.0506664
+0.0493996
+0.0481992
+0.0470701
+0.0459261
+0.0448234
+0.0437241
+0.0426695
+0.0416994
+0.0407713
+0.039856
+0.0390057
+0.0381453
+0.0369479
+0.0352594
+0.0336268
+0.0320531
+0.0305555
+0.0291455
+0.0278352
+0.0266408
+0.0254503
+0.0243427
+0.0230071
+0.0216356
+0.0204076
+0.0193504
+0.0184908
+0.017805
+0.0173138
+0.0170791
+0.017088
+0.017319
+0.0177511
+0.0184098
+0.0184287
+0.0182604
+0.0183204
+0.0186073
+0.0190758
+0.0197568
+0.0201497
+0.0182993
+0.0164995
+0.0147791
+0.013065
+0.0114989
+0.00994452
+0.00844424
+0.00702473
+0.00583472
+0.00468752
+0.0036854
+0.00273852
+0.00142268
+9.17608e-05
+-0.00115768
+-0.0026829
+-0.00387766
+-0.00514462
+-0.00652926
+-0.00739788
+-0.00705179
+-0.0069646
+-0.00629259
+-0.00534598
+-0.00390186
+-0.00266047
+-0.00119364
+0.000669794
+0.0026757
+0.00473737
+0.00683474
+0.00896445
+0.0109044
+0.0128325
+0.0145828
+0.0147827
+0.0151437
+0.0157451
+0.0165027
+0.0174762
+0.0186118
+0.0198509
+0.0212441
+0.02268
+0.0242194
+0.0258473
+0.0275347
+0.0292889
+0.0310985
+0.0329544
+0.0348398
+0.0367504
+0.0386908
+0.0406565
+0.0553107
+0.0539269
+0.052572
+0.0512219
+0.0499206
+0.0486593
+0.0474401
+0.0462926
+0.0452221
+0.0441389
+0.0430802
+0.0420496
+0.041069
+0.0401797
+0.0393192
+0.0384942
+0.0375148
+0.0357189
+0.0339694
+0.0322718
+0.0306285
+0.0290576
+0.0275714
+0.0261842
+0.024911
+0.0236847
+0.0225095
+0.0214737
+0.0201192
+0.0187923
+0.0176386
+0.0166939
+0.015973
+0.0154491
+0.0151856
+0.0151936
+0.015419
+0.0159028
+0.0166182
+0.0166073
+0.0164613
+0.0165284
+0.0168359
+0.0173374
+0.0180839
+0.0190145
+0.0183459
+0.0165856
+0.0149098
+0.0132855
+0.0117564
+0.0104228
+0.00889879
+0.00752679
+0.00589886
+0.00471686
+0.00323067
+0.00228071
+0.00123644
+4.76431e-05
+-0.000515624
+-0.0017441
+-0.00312559
+-0.00474547
+-0.00599208
+-0.00534249
+-0.00487716
+-0.0052031
+-0.00545471
+-0.00512246
+-0.00379704
+-0.00245638
+-0.000720227
+0.000713191
+0.00248729
+0.00451544
+0.00662161
+0.008766
+0.0109288
+0.0130892
+0.0151856
+0.0169367
+0.0172659
+0.0178251
+0.0185196
+0.0194148
+0.0204628
+0.0216357
+0.0229207
+0.0243311
+0.0257751
+0.0273157
+0.0289382
+0.0306122
+0.0323479
+0.0341359
+0.0358743
+0.0372546
+0.0386431
+0.0400981
+0.0544833
+0.0531559
+0.0518072
+0.0505012
+0.0492185
+0.0479582
+0.0467608
+0.045607
+0.0445201
+0.0435106
+0.0424775
+0.0414751
+0.0405155
+0.0396463
+0.0388339
+0.0380349
+0.0364369
+0.0345851
+0.0327751
+0.0310124
+0.0292986
+0.0276523
+0.0260861
+0.0246154
+0.0232583
+0.0219798
+0.020732
+0.0196104
+0.0186711
+0.0172804
+0.0160437
+0.0149786
+0.0141705
+0.0136188
+0.0133471
+0.0133389
+0.0135935
+0.0141261
+0.0149146
+0.0148331
+0.0146765
+0.0147574
+0.0150961
+0.0157051
+0.016501
+0.0175209
+0.0185265
+0.0166177
+0.0147872
+0.013068
+0.0115101
+0.0101713
+0.00888605
+0.00743493
+0.00596969
+0.00478376
+0.00341568
+0.00231463
+0.0011898
+3.97449e-05
+-0.000803513
+-0.00160698
+-0.00278446
+-0.00397956
+-0.00440909
+-0.00342456
+-0.00272085
+-0.00311786
+-0.00373142
+-0.00428839
+-0.00349745
+-0.00226803
+-0.000665424
+0.00112635
+0.0029161
+0.00490072
+0.00688014
+0.00892272
+0.0110223
+0.0131517
+0.0152491
+0.0173158
+0.0194002
+0.0199153
+0.0205721
+0.0213832
+0.0223587
+0.0234701
+0.024678
+0.0259972
+0.0274163
+0.0288708
+0.0304125
+0.0316973
+0.0328156
+0.0340201
+0.0352582
+0.0365856
+0.0379931
+0.039472
+0.0537243
+0.0523861
+0.0510982
+0.0497836
+0.0485221
+0.0473195
+0.0461055
+0.0449655
+0.0439054
+0.0428983
+0.0419328
+0.0409472
+0.0400054
+0.0391594
+0.0383585
+0.0373609
+0.0354432
+0.0335562
+0.0316875
+0.0298609
+0.0280769
+0.0263543
+0.0247059
+0.0231477
+0.021699
+0.020368
+0.0190148
+0.0178126
+0.016773
+0.0158946
+0.014541
+0.0133959
+0.0124859
+0.0118674
+0.0115391
+0.0115582
+0.0118617
+0.0124669
+0.0133329
+0.013122
+0.0130003
+0.0131074
+0.0134744
+0.0141555
+0.0150435
+0.0161574
+0.0174657
+0.0164366
+0.0145834
+0.012837
+0.0112448
+0.00987993
+0.00846106
+0.00688272
+0.00530294
+0.00405986
+0.0025893
+0.0016085
+0.000465817
+-0.000673657
+-0.00171226
+-0.00151484
+-0.00168421
+-0.00194338
+-0.00225257
+-0.00168549
+-0.000607367
+-0.00108965
+-0.00222202
+-0.00296905
+-0.00308589
+-0.00163323
+-0.000533569
+0.00122504
+0.00307092
+0.00504116
+0.00714103
+0.00925312
+0.0112915
+0.0133086
+0.015324
+0.0173818
+0.0194592
+0.0215536
+0.0226505
+0.0233896
+0.0243029
+0.0253384
+0.026498
+0.0277327
+0.0285416
+0.0293229
+0.0302348
+0.0312124
+0.0322612
+0.033421
+0.0346804
+0.0360292
+0.0374392
+0.0388676
+0.0530008
+0.0516707
+0.0503903
+0.0491427
+0.0478739
+0.046665
+0.0455281
+0.0443919
+0.0433177
+0.0423297
+0.0414301
+0.0405175
+0.039578
+0.0387265
+0.0379823
+0.0365167
+0.0345522
+0.0326165
+0.0307006
+0.0288207
+0.0269779
+0.0251803
+0.0234496
+0.0218017
+0.020257
+0.0188409
+0.0174042
+0.0160905
+0.0149551
+0.0140462
+0.0132065
+0.0119594
+0.0109339
+0.0102415
+0.00988225
+0.00989689
+0.0102314
+0.0108381
+0.0117734
+0.0115738
+0.011413
+0.0115737
+0.0119732
+0.0127335
+0.0137402
+0.014954
+0.0163525
+0.0165158
+0.0146726
+0.0129382
+0.0113554
+0.00985026
+0.00815814
+0.00667224
+0.00501221
+0.00371473
+0.00228144
+0.00136155
+5.49884e-05
+-0.000601197
+0.000344661
+0.000580833
+0.000338379
+8.79594e-05
+-0.000100151
+0.000163996
+0.00121587
+0.000126969
+-0.00166001
+-0.00241313
+-0.00207079
+-0.00134086
+8.61305e-05
+0.00168822
+0.00355339
+0.00532181
+0.0071891
+0.00919236
+0.011237
+0.0133259
+0.0154188
+0.0175014
+0.0196076
+0.0217305
+0.0238656
+0.0254265
+0.0262704
+0.0268141
+0.0271184
+0.0275808
+0.0281532
+0.0288807
+0.0297521
+0.0307149
+0.0317802
+0.0329568
+0.0342129
+0.0354689
+0.0367851
+0.0381675
+0.052359
+0.0510122
+0.0497164
+0.0484851
+0.0473
+0.0460847
+0.0449434
+0.0438728
+0.0428342
+0.0418348
+0.0409172
+0.0400705
+0.0392492
+0.0384034
+0.0376528
+0.0357869
+0.0337799
+0.0317973
+0.0298288
+0.0278902
+0.0259917
+0.0241427
+0.0223378
+0.0206013
+0.018959
+0.0174377
+0.0159326
+0.0144861
+0.0132425
+0.0122154
+0.0114763
+0.0106972
+0.00958405
+0.00882605
+0.0084426
+0.00833708
+0.00863166
+0.00932808
+0.0103613
+0.0101731
+0.010008
+0.0101518
+0.0106887
+0.0115172
+0.0126212
+0.0139343
+0.0154275
+0.0168476
+0.0150451
+0.0133252
+0.011563
+0.00989287
+0.00811234
+0.00658173
+0.00519687
+0.00377885
+0.00261853
+0.00174314
+0.00111478
+0.00107991
+0.00217435
+0.00262747
+0.00231304
+0.00213365
+0.00202254
+0.00219053
+0.000785043
+-0.000705099
+-0.00208888
+-0.00158695
+-0.00117455
+-0.000808251
+0.000326421
+0.00213303
+0.00389091
+0.00567954
+0.00751092
+0.00937029
+0.0113372
+0.0133413
+0.0153932
+0.0174789
+0.0195875
+0.0217123
+0.0238491
+0.0259949
+0.0263949
+0.0265237
+0.0268012
+0.0272277
+0.0278073
+0.0285436
+0.0294146
+0.0303468
+0.0313255
+0.0323665
+0.0335185
+0.0347705
+0.0361119
+0.0375193
+0.0517917
+0.0504402
+0.0491294
+0.047883
+0.0467061
+0.0455935
+0.0444396
+0.0433658
+0.0423598
+0.0414364
+0.0405009
+0.0396612
+0.0389106
+0.038171
+0.0372083
+0.0351548
+0.0331189
+0.0311041
+0.0290962
+0.0271052
+0.0251475
+0.0232314
+0.0213682
+0.0195729
+0.0178365
+0.0162102
+0.0146277
+0.0130527
+0.0116577
+0.0105229
+0.00969396
+0.00921706
+0.00849375
+0.00758362
+0.00709144
+0.00693745
+0.00726678
+0.00802091
+0.00913085
+0.00905291
+0.00879854
+0.00894749
+0.0095172
+0.0104491
+0.011674
+0.0131047
+0.0146848
+0.016367
+0.0153054
+0.0134461
+0.0117021
+0.0101327
+0.00841355
+0.00694961
+0.0058619
+0.00463574
+0.00391658
+0.00329817
+0.00320404
+0.00316261
+0.00392021
+0.00442042
+0.00436136
+0.00417706
+0.00377651
+0.00173231
+-3.29429e-06
+-0.00126988
+-0.00135376
+-0.000639914
+-0.000387008
+5.53077e-05
+0.000662522
+0.0025949
+0.00428805
+0.00612977
+0.00795999
+0.00973396
+0.0116395
+0.0136311
+0.0156599
+0.0177223
+0.0198105
+0.0219143
+0.0240331
+0.0261638
+0.0262094
+0.0263391
+0.0266186
+0.0270479
+0.0276004
+0.0282437
+0.0289443
+0.029751
+0.0306892
+0.031751
+0.032922
+0.0341502
+0.0354712
+0.0368752
+0.0512497
+0.0499169
+0.0486341
+0.0473746
+0.0461848
+0.04507
+0.0440259
+0.0429391
+0.041938
+0.0410085
+0.0401735
+0.0393537
+0.0386096
+0.0379277
+0.0363293
+0.034409
+0.0325229
+0.0305292
+0.0284996
+0.0264787
+0.0244709
+0.0224972
+0.0205676
+0.0186956
+0.0169003
+0.0152008
+0.0134497
+0.0117779
+0.0102431
+0.00896873
+0.00802404
+0.00742344
+0.00725902
+0.00666001
+0.00604403
+0.00580055
+0.00611327
+0.00696838
+0.00815504
+0.00816996
+0.00780721
+0.00795119
+0.00854907
+0.00955526
+0.0108971
+0.0124497
+0.0141719
+0.0159256
+0.0157099
+0.0138875
+0.0121869
+0.0106667
+0.00920431
+0.0078378
+0.00690949
+0.00601544
+0.00559928
+0.00525848
+0.00537235
+0.00533011
+0.00584135
+0.00625968
+0.00645353
+0.00594073
+0.00382904
+0.00185696
+0.000579359
+-1.07016e-05
+-0.00073929
+-0.000302115
+0.000308259
+0.000574927
+0.001444
+0.00299943
+0.00472777
+0.00654162
+0.00843314
+0.010341
+0.0122904
+0.0142251
+0.0161797
+0.0181833
+0.0202257
+0.0222963
+0.0243879
+0.0262594
+0.0262063
+0.0262831
+0.0264535
+0.0268024
+0.0272278
+0.0277463
+0.0284159
+0.0292035
+0.0301301
+0.0311759
+0.0323221
+0.0335722
+0.0349151
+0.0363405
+0.0507964
+0.0494514
+0.0481685
+0.0469384
+0.0457625
+0.0446372
+0.0435931
+0.0425846
+0.0416065
+0.0406907
+0.0398527
+0.0391023
+0.0383946
+0.0373985
+0.0354162
+0.0334539
+0.0315107
+0.029602
+0.0277351
+0.025919
+0.0239711
+0.021958
+0.0199763
+0.018043
+0.0161755
+0.0143902
+0.0125267
+0.0107151
+0.00905067
+0.00759232
+0.00650754
+0.0057799
+0.00552303
+0.00580624
+0.00543109
+0.00507005
+0.00538523
+0.00627497
+0.00752203
+0.00734217
+0.00706039
+0.00727859
+0.00789205
+0.00901052
+0.010413
+0.0120386
+0.0138212
+0.0157073
+0.0163518
+0.0146096
+0.0130039
+0.0115913
+0.0103516
+0.00915797
+0.00836329
+0.00777665
+0.0074594
+0.00735007
+0.00755359
+0.00751107
+0.00788209
+0.00827196
+0.00799761
+0.00584411
+0.00373411
+0.00175318
+0.000260617
+-0.000563116
+-0.000600987
+-0.000513955
+0.000803733
+0.00128553
+0.0017755
+0.00324862
+0.00493369
+0.00684704
+0.00876823
+0.0107214
+0.0126733
+0.0146351
+0.0166541
+0.0187117
+0.0207879
+0.0228407
+0.024917
+0.0262254
+0.0260656
+0.0260895
+0.0262884
+0.0264295
+0.02675
+0.0272422
+0.0278912
+0.0286932
+0.0296357
+0.0306866
+0.0318503
+0.0330764
+0.0343908
+0.0357853
+0.050349
+0.0490423
+0.0477865
+0.0465553
+0.0453861
+0.044283
+0.0432565
+0.0422776
+0.0413258
+0.0404406
+0.0396424
+0.0388941
+0.038242
+0.0366313
+0.0346051
+0.0325977
+0.0306137
+0.0286542
+0.0267211
+0.0248309
+0.0229933
+0.0212075
+0.0195024
+0.0176259
+0.015708
+0.0138147
+0.0118698
+0.00995096
+0.00814863
+0.00652264
+0.00524293
+0.00436796
+0.00402363
+0.00434466
+0.0050266
+0.0048651
+0.00510563
+0.00557199
+0.00645776
+0.00649366
+0.0062881
+0.00666455
+0.00753525
+0.00880396
+0.0102963
+0.0119795
+0.0137711
+0.0156632
+0.0172499
+0.0156083
+0.0141166
+0.0128262
+0.0117499
+0.0107659
+0.0100762
+0.00970477
+0.00945246
+0.00948649
+0.00973906
+0.00969641
+0.00998658
+0.0101321
+0.00800937
+0.00591809
+0.00393554
+0.00213047
+0.00108898
+0.000118922
+-0.000603962
+-0.000413899
+0.00109892
+0.00194686
+0.00238303
+0.0037382
+0.00541326
+0.00727481
+0.00911179
+0.0109995
+0.0129764
+0.0150128
+0.0170873
+0.0191654
+0.0212057
+0.0232733
+0.0253616
+0.026128
+0.0259677
+0.0259273
+0.0259072
+0.0260504
+0.0263754
+0.0268735
+0.0275312
+0.0283391
+0.0292308
+0.0302382
+0.0313665
+0.0326031
+0.0339358
+0.0353312
+0.0499868
+0.0486703
+0.0474185
+0.0462367
+0.0450943
+0.0439839
+0.0429565
+0.0420006
+0.0410906
+0.0402664
+0.0394647
+0.0387703
+0.038057
+0.035979
+0.0339137
+0.0318611
+0.0298282
+0.0278192
+0.0258397
+0.0238946
+0.0219797
+0.0201108
+0.0183038
+0.0165896
+0.015
+0.0135052
+0.0115132
+0.00952428
+0.00762304
+0.00590253
+0.0044909
+0.00342722
+0.00293521
+0.00308975
+0.00389479
+0.00460793
+0.00436241
+0.0047508
+0.00554764
+0.00538747
+0.00562362
+0.00617168
+0.00714485
+0.00847805
+0.0100716
+0.0118242
+0.0136952
+0.0156479
+0.0176308
+0.0168344
+0.0154614
+0.0142528
+0.0132899
+0.0125482
+0.0119462
+0.011721
+0.0115129
+0.0116431
+0.0118592
+0.0118837
+0.0121217
+0.00998676
+0.00783233
+0.00570559
+0.00365517
+0.00178882
+0.000754464
+0.000340654
+-2.37006e-05
+-0.000205091
+0.00133074
+0.00211882
+0.00287432
+0.0042045
+0.00593174
+0.0078372
+0.00979493
+0.0116888
+0.0135656
+0.0155249
+0.017539
+0.0195867
+0.0216549
+0.023745
+0.0258519
+0.0260507
+0.0258261
+0.0257225
+0.0256807
+0.0258083
+0.026101
+0.0265717
+0.0272112
+0.0279757
+0.0288609
+0.0298625
+0.0309566
+0.0321444
+0.0334336
+0.0348131
+0.0497186
+0.0483948
+0.0471357
+0.0459466
+0.0448331
+0.0437849
+0.0427528
+0.0418101
+0.040923
+0.0401084
+0.0393988
+0.0387128
+0.037556
+0.0354487
+0.0333506
+0.031261
+0.0291863
+0.0271298
+0.0250961
+0.023091
+0.0211229
+0.0191956
+0.0173007
+0.0154758
+0.013753
+0.0121572
+0.0106815
+0.00929231
+0.00753108
+0.00573595
+0.00421626
+0.00312496
+0.00236701
+0.00234033
+0.0030295
+0.00375394
+0.0037615
+0.00369604
+0.00443201
+0.00439897
+0.00465838
+0.00548368
+0.00673424
+0.00832507
+0.010076
+0.011899
+0.0138136
+0.0157516
+0.0177485
+0.018242
+0.0169535
+0.0158525
+0.0149928
+0.0144174
+0.0139102
+0.0137239
+0.0136141
+0.0137782
+0.0139931
+0.013409
+0.0115559
+0.00959346
+0.0075052
+0.00549508
+0.00364063
+0.00218475
+0.00133998
+0.000590531
+-0.000433233
+-0.000342382
+0.00174435
+0.00267446
+0.00326987
+0.00473356
+0.00653893
+0.00826654
+0.0101741
+0.0121356
+0.0141078
+0.0161302
+0.0181916
+0.0202206
+0.0222299
+0.0242706
+0.0263354
+0.0259374
+0.0256113
+0.0253809
+0.0253385
+0.025485
+0.0258001
+0.0262762
+0.0268859
+0.027591
+0.0284477
+0.0294141
+0.0305048
+0.0317095
+0.0330157
+0.0344119
+0.0494918
+0.0482174
+0.0469535
+0.0457596
+0.0446414
+0.0436047
+0.042632
+0.041716
+0.0408639
+0.0400478
+0.0393284
+0.0387036
+0.0371776
+0.0350475
+0.0329238
+0.0308053
+0.0286977
+0.0266035
+0.0245261
+0.0224703
+0.0204425
+0.0184442
+0.0164848
+0.0145913
+0.0127562
+0.0110168
+0.00941817
+0.0079659
+0.00645819
+0.00525722
+0.00455162
+0.003242
+0.00249536
+0.00224074
+0.00227542
+0.00226044
+0.00301157
+0.00310002
+0.0038235
+0.0039328
+0.00409997
+0.00497755
+0.00635476
+0.0080417
+0.0098679
+0.011798
+0.0138061
+0.0158562
+0.0179385
+0.0197711
+0.018579
+0.0175802
+0.016809
+0.0162978
+0.0159333
+0.015771
+0.0157397
+0.0158892
+0.0143882
+0.0126664
+0.0108383
+0.00886815
+0.00702495
+0.00525992
+0.00323185
+0.00150596
+0.000528426
+0.000357787
+7.17787e-05
+0.000544912
+0.00218066
+0.0033968
+0.00399984
+0.00530233
+0.00702759
+0.00895867
+0.0108727
+0.0128124
+0.0147013
+0.0166461
+0.0186455
+0.0206836
+0.0227501
+0.0248379
+0.0262646
+0.0257409
+0.025396
+0.0252255
+0.0251829
+0.0253303
+0.025651
+0.0260244
+0.0265733
+0.0272659
+0.0280995
+0.0290747
+0.0301659
+0.0313716
+0.0326799
+0.034075
+0.0493037
+0.0480448
+0.0468357
+0.0456601
+0.0445394
+0.0435002
+0.0425435
+0.0416489
+0.0408523
+0.0400932
+0.0393741
+0.03875
+0.0369255
+0.0347799
+0.0326389
+0.0305006
+0.0283703
+0.02625
+0.0241422
+0.0220506
+0.0199802
+0.0179305
+0.015908
+0.0139364
+0.0120238
+0.0101963
+0.00847589
+0.00690135
+0.00523254
+0.00390623
+0.00314633
+0.00297482
+0.00333507
+0.00274884
+0.00193937
+0.00129322
+0.00188054
+0.00275711
+0.00325418
+0.00382913
+0.00415667
+0.00516325
+0.00660327
+0.00826194
+0.0100631
+0.0119945
+0.0139835
+0.0158214
+0.0174576
+0.0187029
+0.0199639
+0.0194015
+0.0187056
+0.0182477
+0.0179958
+0.0178522
+0.0172499
+0.0154661
+0.0136538
+0.0117142
+0.00987619
+0.00821299
+0.0063319
+0.00438052
+0.00267403
+0.00129603
+0.00109953
+0.00114326
+0.00088125
+0.00102972
+0.00255209
+0.00400405
+0.00484997
+0.00623708
+0.00788167
+0.00948424
+0.0112862
+0.0132063
+0.0151924
+0.0171421
+0.019144
+0.0211833
+0.0232501
+0.0253288
+0.0262228
+0.0256983
+0.0253528
+0.0251508
+0.025108
+0.0252072
+0.0253973
+0.0257728
+0.026304
+0.02699
+0.0278318
+0.028816
+0.0298911
+0.0310509
+0.0323101
+0.0336648
+0.0490976
+0.0479318
+0.0467585
+0.0456172
+0.0445208
+0.0434812
+0.042529
+0.0416705
+0.0408774
+0.0401851
+0.0395413
+0.0389199
+0.0367841
+0.0346368
+0.0324954
+0.0303513
+0.0282097
+0.0260763
+0.0239533
+0.0218436
+0.0197515
+0.0176753
+0.0156198
+0.0136065
+0.0116428
+0.00974284
+0.00793147
+0.00614481
+0.00437897
+0.00296533
+0.00214261
+0.00185719
+0.00220089
+0.00210138
+0.00201727
+0.00123248
+0.00114052
+0.00213439
+0.00239295
+0.00344951
+0.00397336
+0.00529473
+0.00665834
+0.00780455
+0.00929479
+0.0109902
+0.012827
+0.0145622
+0.0159582
+0.0172453
+0.018605
+0.0200655
+0.0206605
+0.0202468
+0.019795
+0.0180343
+0.0163642
+0.0145816
+0.012801
+0.010917
+0.00893327
+0.00707277
+0.00534526
+0.0040309
+0.00210921
+0.00033257
+0.000211473
+0.000344105
+0.000231424
+0.000820708
+0.00246701
+0.00448624
+0.00526982
+0.00661368
+0.00816043
+0.00987257
+0.0117375
+0.0136927
+0.0157102
+0.0176809
+0.0196279
+0.0216216
+0.0236502
+0.0257053
+0.0262954
+0.0257363
+0.0253548
+0.0251377
+0.0250553
+0.0251004
+0.0252912
+0.0256414
+0.0261618
+0.0268394
+0.0276081
+0.0285165
+0.0295596
+0.0307237
+0.0319957
+0.0333631
+0.0488945
+0.0477722
+0.0466939
+0.0456274
+0.0445506
+0.0435544
+0.0426223
+0.0417656
+0.040985
+0.0402891
+0.0396726
+0.0389189
+0.0367658
+0.0346174
+0.0324746
+0.0303387
+0.0282112
+0.0260861
+0.0239622
+0.0218432
+0.0197371
+0.0176516
+0.0155951
+0.0135805
+0.0116269
+0.00968183
+0.00780041
+0.00579409
+0.00398126
+0.00250724
+0.00162469
+0.00126868
+0.00130263
+0.000795476
+0.00102553
+0.00168175
+0.00102323
+0.00119818
+0.00169454
+0.0024109
+0.00325716
+0.00390951
+0.00477931
+0.00625493
+0.00799477
+0.00989387
+0.0116969
+0.0131052
+0.0146171
+0.0159362
+0.0173811
+0.0189448
+0.0205052
+0.0207261
+0.0187981
+0.0169341
+0.0151577
+0.0135011
+0.011964
+0.0103485
+0.00841884
+0.0063472
+0.00436128
+0.00262512
+0.00129741
+0.000713681
+0.000982014
+0.00145165
+0.00133025
+0.00139228
+0.00278887
+0.00476963
+0.00585847
+0.00718085
+0.00884621
+0.0104466
+0.0122313
+0.0141306
+0.0161042
+0.0181277
+0.0201419
+0.0221665
+0.0242076
+0.0262511
+0.0264053
+0.0257767
+0.0253225
+0.0250351
+0.0249178
+0.0249926
+0.0251992
+0.0255426
+0.0260465
+0.0266497
+0.0274151
+0.0283296
+0.0293793
+0.0305284
+0.0317713
+0.0331104
+0.0487415
+0.047653
+0.0465831
+0.0455821
+0.044664
+0.0436703
+0.0427659
+0.0419545
+0.041178
+0.0405046
+0.0399165
+0.0390248
+0.0368779
+0.0347364
+0.0326015
+0.0304744
+0.0283571
+0.0262518
+0.024136
+0.0220313
+0.0199451
+0.0178839
+0.0158575
+0.013881
+0.011945
+0.0100454
+0.00802075
+0.00607344
+0.00431026
+0.00291111
+0.00214229
+0.00196966
+0.00175967
+0.00123824
+0.0011441
+0.0014306
+0.00155973
+0.000802482
+0.00102513
+0.00135481
+0.00180336
+0.00183921
+0.00318045
+0.00500384
+0.00696752
+0.00885848
+0.0102864
+0.0118628
+0.0133135
+0.0147809
+0.0163603
+0.0179464
+0.0196087
+0.019677
+0.01785
+0.0160589
+0.0141732
+0.0123884
+0.0107232
+0.00925847
+0.00791637
+0.00621601
+0.00417193
+0.00212132
+6.10431e-05
+-0.000472489
+0.000262768
+0.000548218
+0.000671829
+0.000970412
+0.00282535
+0.00495912
+0.00638789
+0.00763655
+0.0092281
+0.011007
+0.012763
+0.0146366
+0.0165882
+0.0185931
+0.0206357
+0.022706
+0.02473
+0.0267632
+0.0264561
+0.0258287
+0.0253605
+0.0250538
+0.0249366
+0.0249424
+0.0250795
+0.025394
+0.0258462
+0.0264394
+0.027196
+0.0281035
+0.0291477
+0.0302979
+0.0315498
+0.0328979
+0.0485625
+0.0475394
+0.0465658
+0.045574
+0.0446578
+0.0438159
+0.0429804
+0.0421762
+0.0414622
+0.0407955
+0.0402358
+0.0392529
+0.0371191
+0.0349924
+0.0328741
+0.0307659
+0.0286701
+0.0265896
+0.024503
+0.0224327
+0.0203877
+0.0183762
+0.0164107
+0.0144919
+0.0125945
+0.0106611
+0.00874137
+0.00693594
+0.00538034
+0.00420854
+0.00355865
+0.00351406
+0.00332548
+0.00276932
+0.00241327
+0.0021652
+0.00150305
+0.00102797
+0.000283986
+-1.46021e-05
+-0.000210653
+0.000130116
+0.00207848
+0.0041893
+0.00599257
+0.00757695
+0.00914556
+0.0107047
+0.0122266
+0.0137829
+0.0154788
+0.0171139
+0.0183148
+0.0187
+0.0167978
+0.0149562
+0.0132031
+0.0115532
+0.0097732
+0.00815122
+0.00682039
+0.0054179
+0.00365667
+0.00195821
+0.000379688
+0.000188449
+0.000882359
+0.000997884
+0.00125851
+0.00160859
+0.00320962
+0.00520272
+0.00711229
+0.00829105
+0.00977663
+0.0114901
+0.0133439
+0.0152871
+0.0171719
+0.0191157
+0.0211079
+0.023136
+0.0251913
+0.0272677
+0.0265773
+0.0258824
+0.0253571
+0.0250132
+0.0248584
+0.0248535
+0.0249912
+0.0253067
+0.0257605
+0.0263556
+0.0271146
+0.0280123
+0.0290279
+0.0301515
+0.0313822
+0.0327134
+0.0484819
+0.0474571
+0.0465129
+0.045632
+0.0447283
+0.043896
+0.0431472
+0.0424982
+0.0417919
+0.0411531
+0.0405983
+0.039601
+0.037487
+0.0353825
+0.033289
+0.0312048
+0.0291332
+0.0270804
+0.0250509
+0.0230364
+0.0210427
+0.0190732
+0.0171573
+0.0153132
+0.0134847
+0.0115904
+0.00981131
+0.0082106
+0.0068746
+0.00596107
+0.005396
+0.00536852
+0.00520138
+0.00464253
+0.00406868
+0.00331754
+0.00217891
+0.000999233
+-0.000431204
+-0.0014984
+-0.00216458
+-0.000249505
+0.00162564
+0.00331426
+0.0049522
+0.00666534
+0.00828201
+0.00982345
+0.011425
+0.0130691
+0.0148
+0.0164919
+0.0170431
+0.0176145
+0.015935
+0.0139999
+0.0121517
+0.0103989
+0.00882937
+0.0074578
+0.00592402
+0.00465856
+0.00307938
+0.000905246
+-0.00095815
+-0.000526965
+6.08864e-05
+0.000335719
+0.000542009
+0.00158448
+0.00353022
+0.00564598
+0.00753928
+0.00887678
+0.0103453
+0.0119857
+0.013773
+0.015663
+0.0176228
+0.0196315
+0.0216755
+0.0237143
+0.02575
+0.0274961
+0.0266609
+0.025949
+0.0254066
+0.0250448
+0.024865
+0.0248662
+0.0250281
+0.0253195
+0.0257036
+0.0262642
+0.0269915
+0.0278724
+0.0288928
+0.0300004
+0.0312125
+0.032527
+0.0484744
+0.0474494
+0.0465051
+0.0456464
+0.0448784
+0.0440735
+0.0433394
+0.0426934
+0.0421514
+0.0415853
+0.0410719
+0.0400612
+0.0379672
+0.0358848
+0.0338161
+0.0317637
+0.0297311
+0.0277226
+0.0257438
+0.0237813
+0.0218389
+0.0199481
+0.018125
+0.0163645
+0.0145416
+0.0127874
+0.0111836
+0.00976388
+0.00864019
+0.00785209
+0.007418
+0.00739804
+0.00714014
+0.00664977
+0.00567562
+0.0046152
+0.00313046
+0.00133476
+-0.000529773
+-0.00250851
+-0.00276276
+-0.00110933
+0.000670834
+0.00247285
+0.00424946
+0.00604311
+0.00771208
+0.00927039
+0.0109317
+0.0126333
+0.0143721
+0.0154852
+0.0159514
+0.0165727
+0.0152985
+0.0132736
+0.0113107
+0.00944842
+0.00771834
+0.00625871
+0.00525145
+0.00346353
+0.00195101
+0.000812019
+-0.000643482
+-0.000363586
+0.000110831
+0.000164485
+0.000619674
+0.00192872
+0.00392891
+0.00604209
+0.00815235
+0.00984766
+0.011203
+0.0127398
+0.0144463
+0.0162692
+0.0181653
+0.0201199
+0.0221188
+0.0241509
+0.0262087
+0.0276395
+0.0267923
+0.0260902
+0.0255433
+0.0251659
+0.0249756
+0.0249753
+0.0250888
+0.0252861
+0.0256629
+0.0261889
+0.0268837
+0.0277346
+0.0287276
+0.0298273
+0.0310384
+0.0323526
+0.0485534
+0.0475301
+0.0465874
+0.0457302
+0.0449636
+0.0442922
+0.0436293
+0.0429994
+0.0424613
+0.0420307
+0.0415884
+0.0406164
+0.0385526
+0.0365036
+0.034472
+0.0324612
+0.0304751
+0.0285187
+0.0265964
+0.0246838
+0.0228184
+0.0210103
+0.0192722
+0.0175382
+0.0158097
+0.0142071
+0.0127516
+0.011516
+0.0105601
+0.00985648
+0.00951498
+0.00949169
+0.00915964
+0.00828431
+0.00721363
+0.00574419
+0.00389923
+0.00200282
+0.000195788
+-0.000903053
+-0.00144692
+-0.000445791
+0.000675786
+0.00230728
+0.00408098
+0.0058053
+0.00737967
+0.00898984
+0.0107336
+0.012536
+0.0142251
+0.0145205
+0.0149712
+0.0156533
+0.0148446
+0.0128563
+0.0108179
+0.00885262
+0.00702196
+0.00541343
+0.00406562
+0.00300711
+0.000938117
+-0.000486246
+-0.00148165
+-0.000795146
+-0.0001797
+0.000414936
+0.00117923
+0.00301467
+0.00485003
+0.00672783
+0.00862625
+0.0104985
+0.0120513
+0.0135803
+0.0152623
+0.0170602
+0.0189303
+0.0208217
+0.0227651
+0.0247443
+0.0267564
+0.0279111
+0.0270724
+0.0263874
+0.0258374
+0.0254644
+0.0252133
+0.0250908
+0.0250869
+0.0252474
+0.0255951
+0.0261225
+0.026819
+0.0276718
+0.028667
+0.029769
+0.0309823
+0.0322988
+0.0487308
+0.0477113
+0.0467722
+0.0459186
+0.0451551
+0.0444866
+0.043893
+0.0433809
+0.0428811
+0.0424547
+0.042138
+0.0412805
+0.0392517
+0.0372411
+0.0352521
+0.0332875
+0.0313515
+0.0294511
+0.0275735
+0.0257317
+0.0239468
+0.0222253
+0.0205519
+0.0188452
+0.0172441
+0.0157749
+0.0144763
+0.0133798
+0.0125444
+0.0119266
+0.0116368
+0.0116083
+0.0110834
+0.0100136
+0.00868166
+0.00675216
+0.00496518
+0.0032905
+0.00192721
+0.00104479
+-0.000705966
+0.000370229
+0.00180915
+0.00289561
+0.00440202
+0.00594274
+0.00746583
+0.00912265
+0.0108408
+0.0125449
+0.0135105
+0.0137606
+0.0141923
+0.0148809
+0.0140454
+0.0120944
+0.0102143
+0.0084835
+0.00674824
+0.00486791
+0.00320636
+0.00209629
+0.00119254
+-0.000202298
+-0.00147122
+-0.000642965
+-0.000324812
+6.61034e-05
+0.00127499
+0.00317941
+0.00529287
+0.00740525
+0.00930299
+0.0110041
+0.0128313
+0.0144921
+0.0161175
+0.0178641
+0.0196762
+0.0215514
+0.0234812
+0.0254533
+0.0274586
+0.0282616
+0.0273986
+0.0266567
+0.0260752
+0.0256352
+0.0253014
+0.02515
+0.0251388
+0.025299
+0.025646
+0.0261724
+0.0268676
+0.0277091
+0.0286766
+0.029774
+0.0309863
+0.0322979
+0.0489982
+0.0479919
+0.0470584
+0.0462101
+0.0454515
+0.0447874
+0.0441978
+0.0437096
+0.0433267
+0.0429475
+0.0426562
+0.0420484
+0.0400585
+0.0380893
+0.0361449
+0.0342303
+0.0323507
+0.0304987
+0.0286774
+0.0269113
+0.0252105
+0.0235666
+0.0218963
+0.0202986
+0.0188128
+0.017476
+0.0162895
+0.0153181
+0.0145621
+0.0140334
+0.0137747
+0.0137479
+0.0128778
+0.0116054
+0.0097496
+0.00800697
+0.00638748
+0.00496915
+0.00378098
+0.0023339
+0.00120827
+0.00138481
+0.00254356
+0.00389353
+0.00496985
+0.00629349
+0.0077168
+0.00919273
+0.0107367
+0.0121826
+0.0129917
+0.0132426
+0.0136636
+0.0143567
+0.0133152
+0.0115016
+0.00953347
+0.00768664
+0.00603041
+0.00475095
+0.00319453
+0.00116077
+-0.000282324
+-0.00126482
+-0.0013146
+-0.000490447
+-8.12334e-05
+0.000318042
+0.00195275
+0.00407501
+0.00602796
+0.00798664
+0.0100331
+0.0118047
+0.0135241
+0.015364
+0.0169302
+0.0186006
+0.0203699
+0.0222114
+0.0241026
+0.0260408
+0.0280161
+0.0285384
+0.0276851
+0.0269574
+0.0263071
+0.0257965
+0.0254602
+0.0252779
+0.0252662
+0.0254255
+0.0257708
+0.0262947
+0.0269867
+0.0278097
+0.0287679
+0.0298564
+0.0310356
+0.0323045
+0.0492812
+0.048337
+0.0474388
+0.0465974
+0.0458453
+0.0451869
+0.0446083
+0.0441246
+0.0437453
+0.0434733
+0.0432105
+0.0429129
+0.0409632
+0.039039
+0.0371443
+0.035284
+0.0334551
+0.0316523
+0.0299014
+0.028212
+0.0265833
+0.024959
+0.0233646
+0.0218677
+0.0204959
+0.019257
+0.0181806
+0.0173157
+0.0166236
+0.0161594
+0.015927
+0.0157722
+0.0145926
+0.0127951
+0.0110792
+0.00948461
+0.00803901
+0.00673939
+0.00536356
+0.0040862
+0.00319832
+0.00316592
+0.00375701
+0.00470321
+0.00566248
+0.00682799
+0.00807541
+0.0094113
+0.0107196
+0.012155
+0.0128217
+0.0130494
+0.0134535
+0.014127
+0.0123485
+0.0105387
+0.00889441
+0.00731862
+0.00554954
+0.0040293
+0.00284468
+0.00192884
+5.22373e-05
+-0.00172917
+-0.00117344
+-0.00102293
+-0.00088669
+0.000385388
+0.00245055
+0.00452125
+0.00658472
+0.00870343
+0.010758
+0.0126082
+0.0144948
+0.0161997
+0.0179746
+0.019556
+0.0212459
+0.0230174
+0.0248474
+0.0267316
+0.0286595
+0.0289521
+0.028035
+0.027206
+0.0265323
+0.0260177
+0.0256528
+0.0254716
+0.0254783
+0.0256373
+0.0259797
+0.0264811
+0.0271106
+0.0278547
+0.028747
+0.0297739
+0.0309222
+0.0321789
+0.0496342
+0.0486969
+0.0478358
+0.0470593
+0.0463248
+0.0456733
+0.045119
+0.0446434
+0.0442686
+0.0439998
+0.0438286
+0.0436921
+0.0419622
+0.040086
+0.0382433
+0.036435
+0.0346488
+0.0329115
+0.0312313
+0.0296116
+0.0280295
+0.026438
+0.0249332
+0.0235362
+0.0222602
+0.0211097
+0.0201326
+0.0193551
+0.0187145
+0.0182939
+0.0180885
+0.0173821
+0.015794
+0.0140843
+0.0125148
+0.0110982
+0.00978387
+0.00841015
+0.00714001
+0.00594192
+0.00521406
+0.00500751
+0.00533247
+0.00589591
+0.00669935
+0.00766756
+0.00876763
+0.0099448
+0.0111284
+0.0125001
+0.0129617
+0.0131354
+0.013507
+0.0136429
+0.0116561
+0.00975591
+0.00795233
+0.00638612
+0.00520626
+0.00376566
+0.0020665
+0.000959124
+-0.000238992
+-0.00113624
+-0.000313351
+0.000191204
+0.00035895
+0.00123993
+0.00327944
+0.00529198
+0.00732195
+0.00936557
+0.0111819
+0.0127708
+0.0143459
+0.0158009
+0.0173884
+0.0190906
+0.020884
+0.0227472
+0.0246642
+0.0264445
+0.02827
+0.029228
+0.0282924
+0.027471
+0.026804
+0.0262927
+0.0259316
+0.0257301
+0.0257006
+0.0258372
+0.026106
+0.0265353
+0.0271187
+0.0278627
+0.0287546
+0.0297813
+0.0309294
+0.0321712
+0.0500566
+0.0491345
+0.0482795
+0.0475103
+0.0468227
+0.0462185
+0.0457112
+0.0452484
+0.0448824
+0.0446211
+0.0444576
+0.0443658
+0.0430497
+0.041223
+0.0394329
+0.0376617
+0.0359365
+0.0342646
+0.0326531
+0.0310832
+0.0295167
+0.0280059
+0.0265898
+0.0252846
+0.0240812
+0.0230218
+0.0221293
+0.0214111
+0.0208259
+0.0204399
+0.0200266
+0.0184315
+0.0169282
+0.0153923
+0.0139577
+0.012685
+0.0114647
+0.0101425
+0.00889193
+0.0079312
+0.00719866
+0.00691045
+0.00707207
+0.00739296
+0.0079773
+0.00880426
+0.00979104
+0.0107837
+0.0118559
+0.0131499
+0.013355
+0.0134825
+0.0138448
+0.0133196
+0.0112629
+0.00926773
+0.0073843
+0.00569227
+0.00433693
+0.00347801
+0.00207374
+0.000126972
+-0.00111485
+-0.00155172
+-0.00100704
+-0.000731
+5.18433e-05
+0.00167187
+0.0037151
+0.00579747
+0.00793108
+0.00938367
+0.0108672
+0.0124045
+0.0139351
+0.0154339
+0.0170638
+0.0187954
+0.0206146
+0.0225
+0.0242986
+0.0260904
+0.0278675
+0.029611
+0.0286722
+0.0278469
+0.0271622
+0.0266211
+0.0262279
+0.0259436
+0.0258425
+0.0259268
+0.0261947
+0.0266381
+0.0272204
+0.0279617
+0.0288457
+0.0298392
+0.0309561
+0.0321835
+0.0505065
+0.049657
+0.0488176
+0.048057
+0.0473774
+0.0467803
+0.0462794
+0.0458777
+0.0455623
+0.0453258
+0.0451734
+0.0451061
+0.044219
+0.0424371
+0.0406874
+0.0389731
+0.0373085
+0.0357009
+0.0341341
+0.032599
+0.0310836
+0.0296527
+0.0283192
+0.027081
+0.0259593
+0.0249797
+0.0241596
+0.0234845
+0.0229384
+0.0225772
+0.0211721
+0.0196517
+0.0182183
+0.0168671
+0.0155403
+0.0144147
+0.013184
+0.0119173
+0.010792
+0.00982601
+0.00915354
+0.00890396
+0.00883512
+0.00900991
+0.00942675
+0.0100958
+0.0108768
+0.0117762
+0.0128655
+0.0140986
+0.0139888
+0.0141567
+0.0144539
+0.0133299
+0.0112733
+0.009274
+0.00737628
+0.00559736
+0.00406321
+0.00269441
+0.00179258
+0.000709876
+-0.00103417
+-0.000557862
+-2.33661e-05
+0.000542221
+0.00109346
+0.00282032
+0.0046542
+0.00657361
+0.0081501
+0.00949656
+0.0108798
+0.0123712
+0.0138112
+0.0153221
+0.0169774
+0.0187428
+0.0205761
+0.0223755
+0.0241127
+0.0258396
+0.027571
+0.0293638
+0.0290066
+0.0281732
+0.0274895
+0.026937
+0.0264797
+0.0261981
+0.026098
+0.0261563
+0.0263867
+0.0267949
+0.0273728
+0.02811
+0.0289742
+0.029968
+0.0310802
+0.0323026
+0.0509878
+0.0501611
+0.0494157
+0.0486928
+0.0480257
+0.0474368
+0.0469429
+0.046547
+0.0462361
+0.0460228
+0.0459131
+0.0458879
+0.0454534
+0.0437153
+0.0420186
+0.0403608
+0.0387559
+0.0371928
+0.035684
+0.034165
+0.0327222
+0.0313662
+0.0301008
+0.0289303
+0.0278831
+0.0269735
+0.0262158
+0.0255462
+0.0250401
+0.0239927
+0.0224437
+0.0209956
+0.0196554
+0.0184603
+0.0172565
+0.0162468
+0.0149725
+0.0137485
+0.0126414
+0.0117514
+0.0111901
+0.0108961
+0.0106388
+0.0107456
+0.0110245
+0.0115268
+0.0121742
+0.0130013
+0.0140254
+0.0149601
+0.01484
+0.0149627
+0.0151806
+0.0135372
+0.0115753
+0.00964113
+0.00784309
+0.00610331
+0.0043386
+0.00275335
+0.00120196
+-0.000206739
+-0.000714422
+-0.000278125
+-0.000208517
+-7.25861e-05
+0.000737519
+0.00265142
+0.00478673
+0.00659521
+0.00797355
+0.00945981
+0.011047
+0.0125883
+0.0140244
+0.0155219
+0.0171579
+0.0189065
+0.020675
+0.0222043
+0.0238371
+0.0255536
+0.0273069
+0.0290694
+0.0293349
+0.0285112
+0.0278358
+0.0273199
+0.0268489
+0.0265363
+0.0264024
+0.0264499
+0.0266778
+0.0270816
+0.0276535
+0.0283569
+0.0291805
+0.0301311
+0.0312069
+0.0323952
+0.0514944
+0.0506871
+0.0499531
+0.0493056
+0.0487257
+0.0481647
+0.0476978
+0.0473082
+0.0470024
+0.0467926
+0.0466848
+0.0466796
+0.0467518
+0.0450638
+0.0434195
+0.0418172
+0.0402575
+0.0387481
+0.0372492
+0.0357966
+0.0344223
+0.033135
+0.0319255
+0.0308244
+0.0298437
+0.0289956
+0.0282531
+0.0276232
+0.0268744
+0.0253027
+0.0238277
+0.0224688
+0.0212216
+0.0201334
+0.0190701
+0.0180195
+0.0167563
+0.0155579
+0.0145461
+0.0137523
+0.0132753
+0.0127534
+0.0125211
+0.0125332
+0.0127757
+0.0131052
+0.0136723
+0.0143749
+0.0152306
+0.0160192
+0.0159005
+0.0160108
+0.0153188
+0.0134126
+0.0114075
+0.00948137
+0.00769105
+0.00615083
+0.00485269
+0.00365998
+0.00196061
+0.000344737
+-0.000709371
+-0.000730058
+-0.000290724
+0.000117515
+0.00116738
+0.00304648
+0.0051228
+0.00686056
+0.00819137
+0.00966742
+0.0111714
+0.0127704
+0.0144205
+0.0160096
+0.0175966
+0.0190689
+0.0205111
+0.0220519
+0.023688
+0.0253782
+0.027113
+0.0288846
+0.0298059
+0.0289955
+0.0283317
+0.0277232
+0.0272513
+0.0269466
+0.0268148
+0.0268617
+0.0270611
+0.0274172
+0.0279296
+0.028601
+0.0294177
+0.030361
+0.0314288
+0.0326006
+0.0519922
+0.0512913
+0.0505747
+0.0499352
+0.0493847
+0.0489203
+0.0484634
+0.0480993
+0.0478329
+0.0476508
+0.0475449
+0.0475398
+0.0476356
+0.0464765
+0.0448836
+0.043327
+0.0418136
+0.0403355
+0.0388748
+0.0374853
+0.0361752
+0.0349386
+0.0337937
+0.0327554
+0.0318343
+0.0310333
+0.030303
+0.0297166
+0.0282122
+0.0267182
+0.0253258
+0.0240515
+0.0228838
+0.0218668
+0.0209559
+0.0197919
+0.0185335
+0.0174278
+0.0164994
+0.0158036
+0.0151919
+0.0146985
+0.0144474
+0.0143961
+0.0145495
+0.0148117
+0.0152652
+0.015829
+0.0166087
+0.0172923
+0.0171763
+0.0164967
+0.0153983
+0.0134852
+0.0115116
+0.00959664
+0.00782762
+0.00625753
+0.00484533
+0.00329333
+0.00184648
+0.000855834
+0.000992383
+0.00137287
+0.00155162
+0.00191572
+0.00263848
+0.00410832
+0.00592533
+0.00770899
+0.00890457
+0.0102385
+0.0116659
+0.013228
+0.0148067
+0.0161763
+0.017575
+0.0190035
+0.0205197
+0.0220592
+0.0236747
+0.0253525
+0.027067
+0.0288415
+0.0303081
+0.0295108
+0.0287359
+0.0281108
+0.0276446
+0.0273412
+0.0272113
+0.0272575
+0.0274788
+0.0278425
+0.0283337
+0.0289812
+0.0297463
+0.0306492
+0.0316781
+0.0328058
+0.0525573
+0.051864
+0.0512551
+0.0506518
+0.0501092
+0.0496516
+0.0492742
+0.0489568
+0.048695
+0.0485308
+0.0484652
+0.0484838
+0.0485777
+0.0479477
+0.0464003
+0.0448836
+0.0434235
+0.0419559
+0.0405537
+0.0392237
+0.0379654
+0.0367842
+0.0356986
+0.0347173
+0.0338496
+0.033056
+0.0323714
+0.0311581
+0.0296507
+0.0282329
+0.0269189
+0.0257043
+0.0246089
+0.0236661
+0.0228444
+0.0215436
+0.0203724
+0.0193518
+0.0185055
+0.0178133
+0.0171423
+0.0166654
+0.0164118
+0.0163088
+0.0164
+0.0165719
+0.0168967
+0.0174092
+0.018142
+0.0187213
+0.0180849
+0.0168742
+0.0154216
+0.0135475
+0.0117831
+0.010094
+0.00837891
+0.00677639
+0.00534872
+0.00348124
+0.00165501
+0.000457435
+0.000966061
+0.00191127
+0.00241924
+0.00328641
+0.00419248
+0.00556844
+0.00717613
+0.00885922
+0.0100052
+0.0111629
+0.012497
+0.0139712
+0.0152007
+0.0164122
+0.017776
+0.0191896
+0.0207259
+0.0222512
+0.0238476
+0.0254923
+0.027198
+0.0289644
+0.0307854
+0.0300355
+0.0292744
+0.0286611
+0.0282001
+0.0279027
+0.0277755
+0.0278207
+0.0280121
+0.0283312
+0.0287818
+0.0293892
+0.0301195
+0.0309815
+0.0319631
+0.0330235
+0.0532067
+0.052522
+0.0519207
+0.0513956
+0.0508974
+0.0504674
+0.0500962
+0.0498185
+0.0496232
+0.049462
+0.0493974
+0.0494299
+0.0495594
+0.0494674
+0.0479572
+0.0464913
+0.0450394
+0.0436262
+0.0422794
+0.0410028
+0.0397913
+0.0386659
+0.0376346
+0.0367051
+0.0358654
+0.0350989
+0.034131
+0.0326138
+0.0311768
+0.0298317
+0.0285823
+0.0274269
+0.0264031
+0.0255267
+0.0245757
+0.0233568
+0.0222577
+0.0213156
+0.0205494
+0.0197519
+0.0191133
+0.0186628
+0.0183479
+0.0182522
+0.0182517
+0.0183612
+0.0186214
+0.0191074
+0.0197775
+0.0199887
+0.0186594
+0.0172935
+0.0155414
+0.0136837
+0.0119395
+0.010311
+0.00890014
+0.00769474
+0.00600595
+0.00411098
+0.00241458
+0.00139586
+0.00190277
+0.00276305
+0.00313045
+0.00379796
+0.00472973
+0.00614166
+0.0078398
+0.00963156
+0.0109635
+0.0123718
+0.0135941
+0.0147332
+0.0157407
+0.0169135
+0.0182399
+0.0196201
+0.0211376
+0.0226259
+0.0241721
+0.0257939
+0.0274947
+0.0292514
+0.0310555
+0.030658
+0.0299468
+0.0293416
+0.0288902
+0.028594
+0.0284232
+0.0284018
+0.0285184
+0.0288
+0.0292227
+0.0297588
+0.0304387
+0.0312325
+0.0321563
+0.0331949
+0.0538773
+0.0532017
+0.0526089
+0.0521014
+0.0516428
+0.0512407
+0.0509299
+0.0507118
+0.0505473
+0.0504627
+0.050404
+0.0504359
+0.0505627
+0.0507839
+0.049562
+0.0481247
+0.0467021
+0.0453408
+0.0440465
+0.0428113
+0.0416523
+0.0405786
+0.0395971
+0.0387148
+0.0378834
+0.0371243
+0.0355999
+0.0341481
+0.0327784
+0.0315017
+0.0302997
+0.0292123
+0.0282533
+0.027436
+0.0263674
+0.0252092
+0.0241944
+0.023319
+0.0224735
+0.0217261
+0.0211066
+0.0206521
+0.0203357
+0.0202279
+0.0201281
+0.0201978
+0.0204357
+0.020894
+0.0214896
+0.0207246
+0.0192588
+0.0178531
+0.0159638
+0.0141617
+0.012484
+0.0109251
+0.00960444
+0.00862846
+0.00698291
+0.00531522
+0.00395514
+0.00331682
+0.00365741
+0.00435863
+0.00456998
+0.00509526
+0.00583612
+0.00709295
+0.00867515
+0.0104787
+0.0118332
+0.0132793
+0.0144802
+0.0154853
+0.0164534
+0.0176067
+0.0188528
+0.020221
+0.0216756
+0.0231481
+0.0246726
+0.0262635
+0.0279357
+0.0296755
+0.0314716
+0.0312892
+0.0305844
+0.0299921
+0.0295506
+0.0292278
+0.0289912
+0.0288742
+0.028923
+0.029137
+0.0295125
+0.0300434
+0.030717
+0.0315038
+0.0324199
+0.0334502
+0.0545678
+0.053901
+0.0533158
+0.0528152
+0.0523943
+0.0520516
+0.0517675
+0.051553
+0.0514245
+0.0513775
+0.0514239
+0.0515015
+0.0516259
+0.0518427
+0.0512103
+0.0497808
+0.048407
+0.047095
+0.0458417
+0.044654
+0.0435441
+0.0425182
+0.0415825
+0.0407133
+0.0399197
+0.0386037
+0.03714
+0.0357508
+0.034445
+0.033213
+0.0320748
+0.0310497
+0.0301492
+0.0293847
+0.0281923
+0.0271122
+0.0261623
+0.025282
+0.0244265
+0.0237037
+0.0231089
+0.0226496
+0.0223615
+0.022166
+0.0220534
+0.0220991
+0.0223114
+0.0227181
+0.0229188
+0.0214471
+0.0200317
+0.0184398
+0.0166659
+0.0149483
+0.0133193
+0.0118614
+0.0106574
+0.00955616
+0.0080709
+0.00665267
+0.00559142
+0.00504032
+0.00485056
+0.00536815
+0.00618148
+0.00674826
+0.00740111
+0.00845366
+0.00986821
+0.0114888
+0.012909
+0.0143364
+0.0156115
+0.0164002
+0.0172982
+0.0183976
+0.019593
+0.0208961
+0.0223208
+0.0237853
+0.0253233
+0.0268965
+0.0285317
+0.0302373
+0.0319953
+0.0319309
+0.0311808
+0.0305696
+0.0301058
+0.0297234
+0.0294467
+0.0293315
+0.0293796
+0.0295902
+0.02996
+0.0304831
+0.0311389
+0.0318863
+0.0327633
+0.03376
+0.0553365
+0.0546791
+0.0541024
+0.0536091
+0.0531944
+0.0528569
+0.0526085
+0.0524265
+0.0523065
+0.0522781
+0.0523393
+0.0524766
+0.0527044
+0.0529676
+0.0528618
+0.0514769
+0.0501495
+0.0488806
+0.0476679
+0.0465268
+0.0454627
+0.0444811
+0.0435797
+0.042727
+0.0416213
+0.0401481
+0.0387429
+0.0374132
+0.0361571
+0.0349775
+0.0338986
+0.0329303
+0.0320826
+0.0311977
+0.030066
+0.0290557
+0.0281512
+0.0272097
+0.0263924
+0.0257023
+0.0251128
+0.0246799
+0.0243939
+0.0241188
+0.0240086
+0.0240456
+0.0242229
+0.0245874
+0.0236173
+0.0222778
+0.0205791
+0.0187646
+0.0170388
+0.0154213
+0.013932
+0.0126471
+0.0116058
+0.0104848
+0.00900285
+0.00775722
+0.0068633
+0.0061228
+0.00596756
+0.0064237
+0.00720901
+0.00779523
+0.0083865
+0.00936988
+0.0107052
+0.0122548
+0.0139563
+0.015538
+0.0168925
+0.0175017
+0.0183162
+0.0193423
+0.0204742
+0.021734
+0.0231061
+0.0245349
+0.0260577
+0.0276434
+0.0292554
+0.0309141
+0.0326135
+0.0324931
+0.0317563
+0.0311275
+0.0306367
+0.0302968
+0.0300277
+0.0299147
+0.0299619
+0.0301485
+0.0304725
+0.0309271
+0.0315048
+0.032215
+0.0330553
+0.0340162
+0.0561802
+0.0555327
+0.054965
+0.0544795
+0.0540715
+0.0537395
+0.0534953
+0.0533399
+0.0532506
+0.0532227
+0.0532849
+0.0534348
+0.0536588
+0.0539707
+0.0543691
+0.0532091
+0.051926
+0.050692
+0.0495237
+0.0484263
+0.0474049
+0.0464643
+0.0455721
+0.0445817
+0.0431416
+0.0417504
+0.0404009
+0.0391249
+0.0379111
+0.0367878
+0.0357636
+0.0348472
+0.0340472
+0.0330463
+0.0319801
+0.0310254
+0.0300525
+0.0291483
+0.0283846
+0.0276955
+0.0271428
+0.0267355
+0.0263768
+0.0261013
+0.0259988
+0.0260044
+0.026164
+0.0258554
+0.0244617
+0.0229105
+0.021069
+0.0193006
+0.0176274
+0.0160789
+0.0146896
+0.0134736
+0.0123655
+0.0111057
+0.00965114
+0.00850948
+0.00771743
+0.00750362
+0.00756926
+0.00793384
+0.00858915
+0.00918775
+0.00968902
+0.0106196
+0.0118148
+0.0132504
+0.0148514
+0.0165877
+0.0180736
+0.0186444
+0.0194318
+0.0204031
+0.0214778
+0.0226954
+0.0240363
+0.0254515
+0.0269226
+0.0284862
+0.0301028
+0.0317052
+0.0333644
+0.0331169
+0.0323608
+0.031672
+0.0311054
+0.0306851
+0.0304172
+0.0303056
+0.0303323
+0.030506
+0.0308347
+0.0313135
+0.0319064
+0.0326078
+0.0334383
+0.0343885
+0.0570955
+0.0564585
+0.0559002
+0.0554229
+0.0550219
+0.0546957
+0.0544557
+0.0543031
+0.0542387
+0.0542325
+0.0542936
+0.0544429
+0.0546795
+0.0549904
+0.0553815
+0.0549741
+0.0537246
+0.0525324
+0.0514059
+0.0503495
+0.0493679
+0.0484481
+0.0475564
+0.0461051
+0.0447141
+0.0433892
+0.0421077
+0.040869
+0.0397086
+0.0386376
+0.0376637
+0.0367946
+0.0360379
+0.0349345
+0.0339276
+0.0329395
+0.0319669
+0.0311183
+0.0303747
+0.0297106
+0.0291961
+0.0287764
+0.0283717
+0.0281147
+0.0280088
+0.027993
+0.0281415
+0.0268185
+0.0254001
+0.0235515
+0.0217643
+0.0200573
+0.0184528
+0.0169764
+0.0156642
+0.0145245
+0.0132719
+0.0116765
+0.0102935
+0.00922854
+0.00851145
+0.00831808
+0.00859181
+0.009304
+0.0101388
+0.0107503
+0.0112701
+0.0120802
+0.0131652
+0.0144819
+0.0159861
+0.0176109
+0.0193476
+0.0199583
+0.0207097
+0.0216333
+0.0226495
+0.0238072
+0.0250888
+0.0264844
+0.0279305
+0.0294429
+0.0309827
+0.0325589
+0.0342029
+0.0336682
+0.0328641
+0.0321696
+0.031612
+0.0311985
+0.030935
+0.0308248
+0.0308436
+0.0310144
+0.0313378
+0.0318091
+0.0324219
+0.0331294
+0.0338375
+0.0346698
+0.0580679
+0.057453
+0.0569044
+0.0564356
+0.0560419
+0.0557216
+0.0554861
+0.0553363
+0.0552731
+0.0552966
+0.0553661
+0.0555125
+0.0557446
+0.0560614
+0.0564607
+0.0567642
+0.0555508
+0.0543986
+0.0533116
+0.0522938
+0.0513493
+0.0504385
+0.0490852
+0.0476805
+0.0463368
+0.0450596
+0.0438463
+0.0426543
+0.0415438
+0.0405213
+0.0395938
+0.038768
+0.0379118
+0.0368561
+0.0358618
+0.034833
+0.0339147
+0.0331161
+0.0323713
+0.0317489
+0.0312655
+0.0307837
+0.0303926
+0.0301528
+0.0300245
+0.0300098
+0.0292922
+0.0278404
+0.0261601
+0.0243673
+0.0226446
+0.0210093
+0.0194833
+0.0180892
+0.0168637
+0.0157425
+0.0140876
+0.0125958
+0.0113256
+0.0103214
+0.00967881
+0.00950539
+0.00973974
+0.0104181
+0.0113149
+0.0118921
+0.0127357
+0.0137357
+0.0147051
+0.0159078
+0.0172934
+0.0188322
+0.0204675
+0.0213365
+0.022065
+0.0229597
+0.0239405
+0.025051
+0.0262529
+0.0275741
+0.0289802
+0.0304554
+0.0319567
+0.033509
+0.0351085
+0.0342428
+0.0334525
+0.0327705
+0.0322232
+0.0318177
+0.0315594
+0.0314519
+0.0314963
+0.0316666
+0.0319775
+0.0323823
+0.0328663
+0.0334367
+0.0341384
+0.0349635
+0.0590694
+0.0584698
+0.0579469
+0.0575027
+0.0571277
+0.0568136
+0.0565826
+0.0564357
+0.0563737
+0.0563967
+0.0565032
+0.0566466
+0.0568741
+0.0571847
+0.057577
+0.0580494
+0.0574026
+0.0562883
+0.0552385
+0.0542568
+0.0533221
+0.0520791
+0.0506627
+0.0493029
+0.0480047
+0.046773
+0.0456134
+0.0444759
+0.043412
+0.0424346
+0.0415498
+0.0407636
+0.0398103
+0.0388063
+0.0377358
+0.0367595
+0.0358906
+0.0351038
+0.0343915
+0.0338064
+0.0332684
+0.0328052
+0.0324356
+0.032211
+0.0320632
+0.0318752
+0.0304008
+0.0288644
+0.0270734
+0.0253453
+0.0236938
+0.0221362
+0.0206935
+0.0193865
+0.0182146
+0.0167254
+0.015178
+0.0138046
+0.012625
+0.0117021
+0.0111394
+0.0109842
+0.0111865
+0.0117725
+0.0126468
+0.0132961
+0.0140649
+0.0150606
+0.0162715
+0.0174856
+0.0187614
+0.0201889
+0.0217437
+0.0226477
+0.0234489
+0.0242159
+0.0250746
+0.0260895
+0.0272183
+0.0284353
+0.0296816
+0.0310231
+0.032451
+0.0339602
+0.0355405
+0.0349455
+0.0341713
+0.0335041
+0.032969
+0.0325728
+0.0323058
+0.0321719
+0.0321752
+0.0322802
+0.0325057
+0.0328682
+0.0332947
+0.0338579
+0.0345511
+0.0353594
+0.0601341
+0.0595452
+0.0590318
+0.0585959
+0.0582391
+0.0579476
+0.0577212
+0.0575772
+0.0575164
+0.057539
+0.0576449
+0.0578293
+0.0580644
+0.0583686
+0.0587531
+0.0592161
+0.0592775
+0.0581991
+0.0571843
+0.0562285
+0.0550845
+0.053658
+0.0522843
+0.0509679
+0.0497131
+0.0485249
+0.0474081
+0.0463294
+0.0453091
+0.0443735
+0.0435281
+0.0427783
+0.0417374
+0.0406675
+0.0396424
+0.0387142
+0.0378871
+0.0371046
+0.0364314
+0.035844
+0.0352921
+0.0348444
+0.0344954
+0.0342574
+0.0341207
+0.0330468
+0.0316091
+0.0298558
+0.0281281
+0.0264689
+0.0248921
+0.0233809
+0.0218931
+0.0205316
+0.0191061
+0.01781
+0.0164515
+0.0151915
+0.0141083
+0.0132888
+0.0127961
+0.0126612
+0.0128371
+0.0133509
+0.0141319
+0.0148558
+0.0155899
+0.0164965
+0.017609
+0.0188914
+0.0202561
+0.0216822
+0.0229961
+0.0234583
+0.0241008
+0.02492
+0.025589
+0.0263529
+0.0272581
+0.0283042
+0.0294658
+0.0307261
+0.0319636
+0.0329077
+0.033967
+0.0351292
+0.0349085
+0.0342459
+0.0336951
+0.0332795
+0.0329868
+0.0327992
+0.0327573
+0.0328604
+0.0330432
+0.0333238
+0.0337446
+0.0343004
+0.0349848
+0.0357894
+0.0612586
+0.0606806
+0.0601769
+0.0597477
+0.0593826
+0.0590823
+0.0588602
+0.0587191
+0.0586594
+0.0586816
+0.0587854
+0.0589705
+0.0592361
+0.0595784
+0.0599705
+0.0604395
+0.0609685
+0.0601289
+0.0591473
+0.0580996
+0.0566643
+0.0552786
+0.0539462
+0.0526713
+0.0514581
+0.0503111
+0.0492349
+0.0482113
+0.0472316
+0.0463348
+0.0455259
+0.0446911
+0.0436112
+0.0425554
+0.0415769
+0.0406928
+0.0398739
+0.0391257
+0.0384839
+0.0378553
+0.0373287
+0.0368763
+0.0365324
+0.0363077
+0.0357615
+0.0341372
+0.0324513
+0.030683
+0.0289725
+0.0273289
+0.0257661
+0.0243004
+0.0229311
+0.0215597
+0.0201835
+0.0189541
+0.0178755
+0.0167342
+0.0157574
+0.0150281
+0.0145942
+0.0144761
+0.0146302
+0.015083
+0.0157786
+0.0163999
+0.0171153
+0.0179819
+0.0189587
+0.0201095
+0.0214057
+0.0221991
+0.0222633
+0.0223626
+0.0226694
+0.0231404
+0.0238029
+0.0246078
+0.0255748
+0.0266831
+0.0278971
+0.0291714
+0.0303406
+0.0313336
+0.0324444
+0.0336514
+0.0349371
+0.0350372
+0.0344781
+0.0340176
+0.0336936
+0.0335099
+0.0334046
+0.0334238
+0.0335596
+0.033836
+0.0342505
+0.0347982
+0.0354633
+0.0362327
+0.0624282
+0.0618603
+0.0613625
+0.060928
+0.0605696
+0.0602753
+0.0600576
+0.0599193
+0.0598608
+0.0598825
+0.0599843
+0.0601657
+0.0604261
+0.0607643
+0.0611792
+0.0616514
+0.0621849
+0.0620761
+0.0611102
+0.0596801
+0.0582837
+0.0569374
+0.0556447
+0.0544096
+0.0532361
+0.0521282
+0.0510903
+0.0501182
+0.0491765
+0.0483159
+0.0475407
+0.0465546
+0.0454715
+0.04447
+0.0435357
+0.0426849
+0.041876
+0.0411642
+0.0404766
+0.0398643
+0.0393468
+0.0389161
+0.0385862
+0.0383703
+0.0367289
+0.0349882
+0.0332105
+0.0314832
+0.0298163
+0.0282212
+0.0267106
+0.0252997
+0.0239875
+0.0227248
+0.0214246
+0.0202611
+0.0191493
+0.0182339
+0.017489
+0.0168729
+0.0164876
+0.0163831
+0.0165195
+0.0168876
+0.0173623
+0.0178407
+0.0185067
+0.0192731
+0.0192344
+0.0194075
+0.0198043
+0.0203634
+0.0204186
+0.0205319
+0.0208652
+0.021376
+0.0220744
+0.0229392
+0.0239666
+0.0250391
+0.026251
+0.0275838
+0.0287928
+0.0298264
+0.0309612
+0.0322053
+0.0335464
+0.0349734
+0.035181
+0.0347309
+0.0343477
+0.0340587
+0.033909
+0.0339006
+0.0340334
+0.0343055
+0.0346903
+0.0352048
+0.035846
+0.0366073
+0.0636491
+0.0630878
+0.0625887
+0.0621627
+0.0618115
+0.0615231
+0.0613099
+0.0611744
+0.0611172
+0.0611384
+0.0612381
+0.0614158
+0.0616709
+0.0620023
+0.062409
+0.0628847
+0.0634225
+0.0640308
+0.0627038
+0.061298
+0.0599394
+0.0586311
+0.0573766
+0.0561796
+0.0550438
+0.053973
+0.0529713
+0.052038
+0.0511414
+0.0503143
+0.0495168
+0.0484009
+0.0473601
+0.0463932
+0.0454973
+0.0446699
+0.0438946
+0.0431611
+0.0424747
+0.0418896
+0.0413808
+0.0409713
+0.0406543
+0.0393938
+0.037608
+0.035826
+0.03409
+0.0324092
+0.0307925
+0.0292506
+0.027796
+0.0264286
+0.0251133
+0.023836
+0.0225246
+0.0213267
+0.0202734
+0.0194039
+0.0187092
+0.0182524
+0.0180444
+0.018057
+0.0182586
+0.0184903
+0.0189289
+0.0182299
+0.0177186
+0.017446
+0.0173838
+0.0175754
+0.0179799
+0.018594
+0.018633
+0.0187784
+0.0191418
+0.0196974
+0.0204049
+0.0212352
+0.0222237
+0.0233763
+0.02467
+0.0260712
+0.0272871
+0.0283544
+0.0295458
+0.030847
+0.0322447
+0.0337269
+0.0352828
+0.0352727
+0.0348539
+0.0345691
+0.0344217
+0.0344134
+0.0345443
+0.0348128
+0.035205
+0.0357121
+0.0363444
+0.0370954
+0.0649153
+0.0643557
+0.0638665
+0.0634491
+0.0631051
+0.0628226
+0.0626138
+0.0624811
+0.0624251
+0.0624459
+0.0625435
+0.0627175
+0.0629673
+0.063292
+0.0636902
+0.0641478
+0.0646751
+0.0652717
+0.0643204
+0.0629507
+0.0616284
+0.0603568
+0.059139
+0.0579783
+0.0568785
+0.0558429
+0.0548753
+0.0539715
+0.0531239
+0.0523282
+0.0513501
+0.0502749
+0.0492736
+0.0483342
+0.0474667
+0.0466428
+0.0458717
+0.0451467
+0.0444882
+0.0439241
+0.0434301
+0.0430374
+0.042114
+0.0402934
+0.0385113
+0.0367732
+0.0350841
+0.0334532
+0.0318895
+0.0304033
+0.02899
+0.027643
+0.0263062
+0.0249515
+0.0236935
+0.0225553
+0.0215621
+0.020731
+0.0200822
+0.0196573
+0.0194596
+0.0191392
+0.0186189
+0.0182843
+0.0173372
+0.0165666
+0.0160049
+0.0156776
+0.0156047
+0.0158179
+0.0162464
+0.0169235
+0.0169427
+0.0171213
+0.0174507
+0.0179038
+0.0186055
+0.0194943
+0.0205666
+0.021807
+0.0231573
+0.0246202
+0.0258562
+0.0269801
+0.0282297
+0.0295888
+0.0310432
+0.03258
+0.0341882
+0.0358551
+0.0354884
+0.0352087
+0.035064
+0.0350558
+0.0351843
+0.035448
+0.0358332
+0.0363315
+0.0369532
+0.0376922
+0.0659662
+0.0655999
+0.0651929
+0.0647841
+0.0644359
+0.0641575
+0.063953
+0.0638231
+0.0637682
+0.0637886
+0.0638841
+0.0640544
+0.064299
+0.0646169
+0.0650072
+0.0654599
+0.0659767
+0.0665617
+0.06597
+0.0646353
+0.0633483
+0.0621118
+0.0609291
+0.0598032
+0.0587375
+0.0577353
+0.0567999
+0.0559239
+0.0551152
+0.0543159
+0.0532104
+0.0521735
+0.0512014
+0.0502957
+0.049425
+0.0486169
+0.0478664
+0.0471471
+0.0465121
+0.045966
+0.0454926
+0.0448506
+0.0430343
+0.0412543
+0.0395156
+0.0378236
+0.0361836
+0.0346046
+0.0330953
+0.0316476
+0.0302785
+0.0288976
+0.0275135
+0.0261955
+0.0249979
+0.0239218
+0.0229877
+0.0217242
+0.0204043
+0.0192381
+0.0182516
+0.0174852
+0.0169382
+0.0166389
+0.015838
+0.0149906
+0.0143804
+0.0140205
+0.0139434
+0.0141758
+0.014636
+0.0153842
+0.0153792
+0.0153744
+0.0156094
+0.0161143
+0.0168905
+0.0178488
+0.0189979
+0.0202885
+0.0217237
+0.0232769
+0.0245377
+0.0257193
+0.0270272
+0.0284438
+0.0299539
+0.0315438
+0.0332023
+0.0349162
+0.0362443
+0.0359706
+0.0358289
+0.0358209
+0.0359467
+0.0362048
+0.036582
+0.0370703
+0.0376798
+0.0384048
+0.0669769
+0.0666162
+0.0663258
+0.0661069
+0.0658098
+0.0655373
+0.0653371
+0.06521
+0.0651562
+0.0651762
+0.0652696
+0.0654364
+0.0656758
+0.0659871
+0.0663693
+0.066818
+0.0673244
+0.0678978
+0.0676504
+0.0663495
+0.0650964
+0.0638938
+0.0627446
+0.0616519
+0.0606187
+0.0596481
+0.0587432
+0.0578933
+0.0571108
+0.0561634
+0.055095
+0.0540936
+0.0531474
+0.0522428
+0.0514021
+0.0505982
+0.0498543
+0.0491592
+0.0485505
+0.0480195
+0.0475665
+0.0458207
+0.0440444
+0.0423069
+0.0406133
+0.038969
+0.0373793
+0.035853
+0.034379
+0.0329796
+0.0315804
+0.0301763
+0.0288135
+0.027084
+0.0253145
+0.0236157
+0.022004
+0.0205
+0.0191061
+0.0178557
+0.0167882
+0.0159517
+0.0153551
+0.0150244
+0.0144176
+0.0134811
+0.0127877
+0.0124392
+0.0124031
+0.0126814
+0.0131939
+0.01401
+0.0136625
+0.013614
+0.01387
+0.0144359
+0.0152466
+0.0162737
+0.017491
+0.0188847
+0.0204189
+0.022043
+0.0233506
+0.0245894
+0.0259543
+0.0274264
+0.0289882
+0.0306241
+0.0323258
+0.0340833
+0.0358886
+0.0368471
+0.0367088
+0.036701
+0.0368238
+0.0370758
+0.0374443
+0.0378784
+0.038418
+0.0390343
+0.0680432
+0.0676881
+0.0674024
+0.067187
+0.0670424
+0.0669603
+0.0667644
+0.06664
+0.0665874
+0.0666069
+0.0666984
+0.0668615
+0.0670959
+0.0674006
+0.0677749
+0.0682174
+0.0687156
+0.0692774
+0.0693593
+0.0680911
+0.0668705
+0.0657004
+0.0645834
+0.0635224
+0.0625201
+0.0615795
+0.0607024
+0.0598756
+0.0591162
+0.0580348
+0.0570015
+0.0560253
+0.0550907
+0.0542057
+0.0533701
+0.0525961
+0.0518561
+0.0511859
+0.0506
+0.0500846
+0.0486449
+0.0468732
+0.0451383
+0.0434446
+0.0417971
+0.0402013
+0.0386619
+0.0371679
+0.0357435
+0.0339793
+0.0320046
+0.0300599
+0.0281484
+0.0262681
+0.0244395
+0.0226753
+0.0209915
+0.0194092
+0.017937
+0.0166045
+0.0154666
+0.0145543
+0.0139298
+0.0135666
+0.0129378
+0.0118853
+0.0111171
+0.0107087
+0.0106595
+0.0110165
+0.0117327
+0.0124861
+0.0120409
+0.0119775
+0.0122425
+0.0128459
+0.0136929
+0.0147986
+0.0161276
+0.0176235
+0.0192306
+0.0209438
+0.0222959
+0.0235846
+0.0249992
+0.0265195
+0.0281284
+0.0298116
+0.0315556
+0.0333427
+0.0351752
+0.0370466
+0.0376157
+0.0375922
+0.0376382
+0.0378112
+0.0381096
+0.0385304
+0.0390697
+0.0397227
+0.0691601
+0.0688108
+0.0685298
+0.0683179
+0.0681732
+0.0680876
+0.0680725
+0.0681105
+0.068059
+0.0680781
+0.0681676
+0.0683273
+0.0685566
+0.0688549
+0.0692212
+0.0696546
+0.0701436
+0.0706941
+0.0710946
+0.0698579
+0.0686688
+0.0675298
+0.0664436
+0.0654127
+0.0644399
+0.0635277
+0.0626717
+0.061869
+0.0609903
+0.0599279
+0.0589255
+0.0579643
+0.0570397
+0.056176
+0.0553546
+0.0545918
+0.0538706
+0.0532229
+0.0526501
+0.0514818
+0.0497069
+0.047962
+0.0462551
+0.0445905
+0.042973
+0.0414084
+0.0395888
+0.0375258
+0.0354781
+0.0334485
+0.0314405
+0.0294586
+0.0275084
+0.0255971
+0.0237178
+0.0218953
+0.0201462
+0.0184915
+0.0169587
+0.0155491
+0.0143299
+0.0133518
+0.0126681
+0.0122732
+0.0115961
+0.0104095
+0.00954806
+0.00907118
+0.00901527
+0.00943833
+0.0102618
+0.0111015
+0.0105983
+0.0104933
+0.0107712
+0.0113677
+0.0122965
+0.0135169
+0.0149435
+0.0165209
+0.0182255
+0.0200249
+0.0213916
+0.0227316
+0.0241962
+0.0257639
+0.0274097
+0.0291214
+0.0308936
+0.0327166
+0.0345823
+0.0364841
+0.0384167
+0.0383675
+0.0384125
+0.0385821
+0.0388746
+0.0392872
+0.0398162
+0.0404571
+0.0703167
+0.0699731
+0.0696968
+0.0694884
+0.0693483
+0.0692644
+0.0692495
+0.0693039
+0.0694274
+0.0695872
+0.0696747
+0.0698309
+0.0700553
+0.0703473
+0.0707059
+0.0711238
+0.0715998
+0.0721392
+0.0727405
+0.0716481
+0.0704892
+0.0693802
+0.0683234
+0.0673213
+0.0663764
+0.0654912
+0.0646531
+0.0638753
+0.0628707
+0.0618406
+0.06086
+0.0599
+0.0590057
+0.0581473
+0.0573542
+0.0565957
+0.0558944
+0.0552625
+0.0541909
+0.0524151
+0.0506718
+0.0489644
+0.0472969
+0.0455625
+0.0434518
+0.0413493
+0.0392566
+0.0371751
+0.035107
+0.0330546
+0.0310211
+0.0290106
+0.0270281
+0.0250786
+0.0231561
+0.0212856
+0.0194818
+0.0177653
+0.0161638
+0.0147149
+0.013454
+0.012407
+0.01166
+0.0112205
+0.0104076
+0.00907822
+0.00809668
+0.0075348
+0.00749011
+0.00799263
+0.00891936
+0.00996518
+0.00934615
+0.00913239
+0.00937906
+0.0100749
+0.0111095
+0.0124429
+0.01397
+0.0156489
+0.0174389
+0.0193117
+0.0206633
+0.0220536
+0.0235541
+0.0251468
+0.026824
+0.0285708
+0.0303752
+0.0322275
+0.03412
+0.0360462
+0.0380011
+0.0392499
+0.0392939
+0.0394597
+0.0397457
+0.0401494
+0.0406672
+0.0412949
+0.0715216
+0.0711839
+0.0709123
+0.0707075
+0.0705702
+0.0704896
+0.070475
+0.0705284
+0.0706498
+0.0708387
+0.0710947
+0.0713702
+0.0715898
+0.0718755
+0.0722238
+0.0726265
+0.0730926
+0.0736211
+0.0742104
+0.0734601
+0.0723302
+0.0712498
+0.0702211
+0.0692465
+0.0683283
+0.0674646
+0.0666476
+0.0658278
+0.0647706
+0.0637671
+0.0627827
+0.0618526
+0.0609696
+0.0601338
+0.0593555
+0.058608
+0.0579228
+0.0569178
+0.0551428
+0.0533987
+0.0516885
+0.0496378
+0.0475061
+0.04538
+0.0432604
+0.0411482
+0.0390447
+0.0369513
+0.0348698
+0.0328026
+0.0307525
+0.0287232
+0.0267193
+0.0247417
+0.022792
+0.0208888
+0.0190476
+0.017288
+0.0156377
+0.014135
+0.0127911
+0.0116728
+0.0108856
+0.0104515
+0.0094971
+0.00803097
+0.00689978
+0.00624378
+0.00621162
+0.00679712
+0.00785981
+0.009008
+0.00826844
+0.0079768
+0.00825806
+0.00903123
+0.0101719
+0.0115981
+0.0132264
+0.0149986
+0.0168694
+0.0188094
+0.0201199
+0.0215452
+0.0230788
+0.0247022
+0.0264077
+0.0281803
+0.0300082
+0.0318818
+0.0337936
+0.0357374
+0.0377083
+0.0397023
+0.0402753
+0.040437
+0.0407162
+0.0411103
+0.0416162
+0.0422298
+0.0727726
+0.0724407
+0.0721738
+0.0719727
+0.0718377
+0.0717608
+0.0717464
+0.0717989
+0.0719182
+0.0721038
+0.0723553
+0.072672
+0.073053
+0.0734372
+0.0737691
+0.0741634
+0.0746199
+0.0751376
+0.0757152
+0.0752922
+0.0741902
+0.0731373
+0.0721355
+0.0711871
+0.0702942
+0.0694474
+0.068654
+0.0677156
+0.0666883
+0.0656851
+0.0647226
+0.0638174
+0.0629433
+0.0621341
+0.0613579
+0.0606247
+0.059681
+0.0579078
+0.0559977
+0.0538504
+0.0517068
+0.0495672
+0.0474324
+0.0453028
+0.0431794
+0.0410631
+0.038955
+0.0368565
+0.0347693
+0.0326958
+0.030635
+0.0285864
+0.0265604
+0.0245627
+0.0226009
+0.020685
+0.0188292
+0.0170481
+0.0153723
+0.0138412
+0.0124424
+0.0112897
+0.0104737
+0.0100377
+0.00897365
+0.00737327
+0.00614225
+0.00538375
+0.00535996
+0.00607392
+0.00727076
+0.00834817
+0.00753565
+0.0071949
+0.00750551
+0.0083079
+0.00953552
+0.0110617
+0.0127763
+0.0146187
+0.0165462
+0.0185055
+0.0198051
+0.0212516
+0.022805
+0.0244465
+0.0261687
+0.0279564
+0.029798
+0.0316841
+0.0336072
+0.0355612
+0.0375413
+0.0395437
+0.0413386
+0.0414962
+0.0417682
+0.0421525
+0.0426461
+0.0431807
+0.0740673
+0.0737412
+0.073479
+0.0732814
+0.073149
+0.0730755
+0.0730614
+0.0731129
+0.07323
+0.0734123
+0.0736593
+0.0739705
+0.0743449
+0.0747816
+0.0752795
+0.0757325
+0.0761796
+0.0766868
+0.0772528
+0.0771429
+0.0760678
+0.0750412
+0.0740653
+0.0731419
+0.0722714
+0.0714424
+0.0706714
+0.0696211
+0.0686047
+0.0676127
+0.0666779
+0.0657786
+0.0649309
+0.0641395
+0.0633629
+0.0624756
+0.0603231
+0.0581698
+0.0560194
+0.0538723
+0.0517288
+0.0495894
+0.0474547
+0.0453253
+0.0432021
+0.041086
+0.0389781
+0.0368798
+0.034793
+0.0327134
+0.0306471
+0.0285994
+0.0265744
+0.0245779
+0.0226148
+0.020697
+0.0188387
+0.0170595
+0.0153869
+0.0138158
+0.0124159
+0.0112661
+0.0104468
+0.0100184
+0.00888959
+0.0072697
+0.0059862
+0.0052011
+0.00516574
+0.00592156
+0.00716298
+0.00808863
+0.00724894
+0.00689312
+0.00720756
+0.00801596
+0.00928228
+0.0108414
+0.0125861
+0.0144527
+0.0163997
+0.0184016
+0.0197264
+0.0211782
+0.0227316
+0.0243776
+0.0261037
+0.0278952
+0.0297402
+0.0316293
+0.0335551
+0.0355116
+0.037494
+0.0394985
+0.0415217
+0.0426305
+0.0428733
+0.0431619
+0.0435547
+0.0440361
+0.0754034
+0.0750831
+0.0748256
+0.0746316
+0.0745015
+0.0744294
+0.0744155
+0.0744661
+0.0745811
+0.0747601
+0.0750027
+0.0753082
+0.075676
+0.0761051
+0.0765944
+0.0771429
+0.0777493
+0.0782666
+0.0788212
+0.0790111
+0.0779617
+0.0769604
+0.0760091
+0.0751096
+0.0742552
+0.0734485
+0.0725676
+0.0715392
+0.0705204
+0.0695558
+0.0686367
+0.0677539
+0.0669311
+0.0661329
+0.0647028
+0.0625469
+0.0603934
+0.0582427
+0.0560951
+0.053951
+0.0518107
+0.0496748
+0.047544
+0.0454188
+0.0433002
+0.0411891
+0.0390868
+0.0369947
+0.0349147
+0.0328491
+0.0307921
+0.0287523
+0.0267363
+0.0247501
+0.0228014
+0.0209007
+0.0190623
+0.0173061
+0.0156598
+0.0141185
+0.0127416
+0.0116173
+0.0108246
+0.0104333
+0.00925502
+0.00771228
+0.00651654
+0.00580363
+0.00577197
+0.00644511
+0.00760498
+0.00825911
+0.00744553
+0.00713478
+0.00744144
+0.00822689
+0.00946503
+0.0110041
+0.0127354
+0.0145908
+0.0165254
+0.0184932
+0.019847
+0.0212906
+0.0228363
+0.0244753
+0.026195
+0.0279806
+0.0298203
+0.0317046
+0.0336261
+0.0355787
+0.0375576
+0.0395588
+0.0415791
+0.0435964
+0.0437707
+0.0440533
+0.044416
+0.0448675
+0.0767787
+0.0764642
+0.0762114
+0.0760209
+0.0758932
+0.0758224
+0.0758088
+0.0758585
+0.0759713
+0.0761471
+0.0763853
+0.0766853
+0.0770465
+0.077468
+0.0779488
+0.0784878
+0.0790838
+0.0797357
+0.0804188
+0.0808955
+0.0798709
+0.0788938
+0.077966
+0.0770844
+0.0762502
+0.0754649
+0.0744776
+0.0734438
+0.0724518
+0.0715088
+0.0704473
+0.0694386
+0.0684851
+0.0669962
+0.0648424
+0.0626913
+0.0605429
+0.0583977
+0.056256
+0.0541183
+0.0519849
+0.0498565
+0.0477338
+0.0456175
+0.0435085
+0.041408
+0.0393174
+0.0372383
+0.0351727
+0.0331232
+0.0310842
+0.0290649
+0.027072
+0.0251113
+0.0231917
+0.0213244
+0.0195245
+0.0178123
+0.0162148
+0.0147154
+0.0134
+0.0123358
+0.0115924
+0.0111999
+0.0100938
+0.00870105
+0.00758916
+0.00698124
+0.00695295
+0.00752822
+0.00856322
+0.00892784
+0.00818104
+0.0079094
+0.00819297
+0.00892603
+0.0100786
+0.0115361
+0.0131979
+0.0149961
+0.0168873
+0.0188285
+0.0202058
+0.0216255
+0.0231489
+0.0247671
+0.0264679
+0.0282363
+0.0300603
+0.0319305
+0.0338391
+0.0357801
+0.0377484
+0.0397401
+0.0417516
+0.0437804
+0.0447234
+0.0449794
+0.04534
+0.0457834
+0.0781912
+0.0778824
+0.0776343
+0.0774473
+0.0773219
+0.0772524
+0.0772391
+0.0772878
+0.0773986
+0.0775711
+0.0778049
+0.0780995
+0.0784542
+0.0788682
+0.0793405
+0.0798701
+0.0804559
+0.0810967
+0.0817911
+0.0825379
+0.0817941
+0.0808403
+0.0799335
+0.0790688
+0.0778399
+0.0765531
+0.0753079
+0.0741067
+0.0729514
+0.0718444
+0.0707879
+0.0697841
+0.0688354
+0.0672024
+0.0650555
+0.0629116
+0.0607711
+0.0586342
+0.0565015
+0.0543734
+0.0522505
+0.0501334
+0.0480228
+0.0459199
+0.0438254
+0.0417409
+0.0396678
+0.0376081
+0.035564
+0.0335357
+0.0315203
+0.0295299
+0.0275699
+0.0256472
+0.0237709
+0.021953
+0.0202057
+0.0185402
+0.0169943
+0.0155707
+0.014334
+0.0133445
+0.0126604
+0.012306
+0.0112547
+0.0100015
+0.0090318
+0.00852736
+0.0085019
+0.00898017
+0.00989169
+0.00999823
+0.00933744
+0.00911155
+0.00935877
+0.010063
+0.0110982
+0.0124367
+0.0139919
+0.0156995
+0.0175149
+0.0194068
+0.0207905
+0.0221728
+0.0236609
+0.0252464
+0.0269169
+0.0286576
+0.0304564
+0.0323036
+0.0341915
+0.0361135
+0.0380646
+0.0400405
+0.0420377
+0.0440532
+0.0457273
+0.0459777
+0.0463305
+0.0467653
+0.079639
+0.0793358
+0.0790922
+0.0789087
+0.0787856
+0.0787174
+0.0787043
+0.0787522
+0.0788609
+0.0790302
+0.0792598
+0.079549
+0.0798972
+0.0803037
+0.0807677
+0.081288
+0.0818636
+0.0824935
+0.0831763
+0.0839107
+0.0837107
+0.0822825
+0.0808883
+0.0795301
+0.0782097
+0.076929
+0.0756901
+0.074495
+0.0733458
+0.0722448
+0.0711943
+0.0701964
+0.0692533
+0.0674792
+0.0653414
+0.0632072
+0.061077
+0.0589513
+0.0568305
+0.0547151
+0.052606
+0.0505038
+0.0484094
+0.046324
+0.0442487
+0.0421851
+0.040135
+0.0381005
+0.0360843
+0.03408
+0.0320988
+0.0301466
+0.0282294
+0.0263549
+0.0245265
+0.0227557
+0.0210641
+0.0194721
+0.0180064
+0.0166695
+0.0155206
+0.0146117
+0.0139897
+0.0136698
+0.01266
+0.0115588
+0.0107308
+0.0103098
+0.0102869
+0.010687
+0.0114636
+0.0113939
+0.0108187
+0.0106244
+0.0108371
+0.011472
+0.0124067
+0.0136172
+0.0150509
+0.0166502
+0.0183719
+0.0201847
+0.0215827
+0.0229172
+0.0243599
+0.0259026
+0.0275334
+0.0292374
+0.0310026
+0.0328191
+0.0346789
+0.0365753
+0.038503
+0.0404575
+0.042435
+0.0444326
+0.0464476
+0.0470569
+0.0474017
+0.0478267
+0.0811201
+0.0808225
+0.0805833
+0.0804032
+0.0802825
+0.0802156
+0.0802027
+0.0802497
+0.0803563
+0.0805225
+0.0807478
+0.0810317
+0.0813736
+0.0817728
+0.0822284
+0.0827396
+0.0833052
+0.0839242
+0.0845954
+0.0853177
+0.0841117
+0.0826904
+0.0813033
+0.0799521
+0.0786388
+0.0773652
+0.0761333
+0.0749453
+0.0738032
+0.0727091
+0.0716653
+0.0706741
+0.0697375
+0.0678257
+0.0656991
+0.063577
+0.0614596
+0.0593475
+0.0572414
+0.0551419
+0.0530497
+0.0509658
+0.0488912
+0.0468272
+0.0447753
+0.0427371
+0.0407148
+0.0387108
+0.0367227
+0.0347541
+0.0328136
+0.0309066
+0.0290315
+0.0272011
+0.0254278
+0.0237244
+0.022107
+0.0205958
+0.019216
+0.0179693
+0.0169089
+0.0160787
+0.0155157
+0.0152279
+0.0142643
+0.0132857
+0.0125749
+0.0122202
+0.0121924
+0.0125381
+0.0132129
+0.0130106
+0.01251
+0.0123423
+0.0125259
+0.0130791
+0.0139061
+0.0149961
+0.016309
+0.0177956
+0.019416
+0.0211395
+0.0225606
+0.0238404
+0.0252304
+0.0267229
+0.0283064
+0.0299665
+0.0316911
+0.0334703
+0.0352958
+0.0371607
+0.0390595
+0.0409875
+0.0429406
+0.0449157
+0.04691
+0.0482116
+0.0485481
+0.0489632
+0.0826327
+0.0823406
+0.0821059
+0.0819291
+0.0818106
+0.0817449
+0.0817323
+0.0817784
+0.0818831
+0.0820462
+0.0822673
+0.0825459
+0.0828816
+0.0832735
+0.083721
+0.0842231
+0.0847788
+0.0853872
+0.086047
+0.0860137
+0.0845676
+0.0831541
+0.0817748
+0.0804316
+0.0791262
+0.0778606
+0.0766367
+0.0754566
+0.0743223
+0.073236
+0.0721999
+0.071216
+0.0702867
+0.0682407
+0.0661275
+0.0640196
+0.0619173
+0.0598214
+0.0577326
+0.0556516
+0.0535793
+0.0515168
+0.0494654
+0.0474264
+0.0454015
+0.0433928
+0.0414025
+0.0394318
+0.0374774
+0.0355499
+0.0336466
+0.03178
+0.0299574
+0.0281873
+0.0264801
+0.0248489
+0.0233096
+0.0218817
+0.0205882
+0.0194279
+0.0184515
+0.0176938
+0.0171838
+0.016912
+0.016007
+0.0151101
+0.0144891
+0.0141828
+0.014154
+0.0144531
+0.0150662
+0.0147581
+0.0143186
+0.014191
+0.014351
+0.0148363
+0.0155703
+0.016551
+0.0177493
+0.0191243
+0.0206406
+0.0222695
+0.0236898
+0.0249117
+0.0262552
+0.0276925
+0.0292236
+0.0308343
+0.0325129
+0.0342494
+0.0360355
+0.037864
+0.0397292
+0.0416262
+0.0435507
+0.0454993
+0.047469
+0.0494363
+0.0497646
+0.0501696
+0.0841752
+0.0838884
+0.083658
+0.0834845
+0.0833682
+0.0833038
+0.0832914
+0.0833367
+0.0834394
+0.0835994
+0.0838164
+0.08409
+0.0844195
+0.0848043
+0.0852438
+0.0857369
+0.0862829
+0.0868807
+0.0875293
+0.086515
+0.0850774
+0.0836725
+0.082302
+0.0809675
+0.0796709
+0.0784141
+0.0771989
+0.0760276
+0.0749019
+0.0738242
+0.0727964
+0.0718207
+0.0708267
+0.0687232
+0.0666253
+0.0645335
+0.0624486
+0.0603712
+0.058302
+0.0562421
+0.0541924
+0.0521542
+0.0501288
+0.048118
+0.0461235
+0.0441476
+0.0421917
+0.040252
+0.0383321
+0.0364421
+0.0345877
+0.0327748
+0.0310108
+0.0293043
+0.0276662
+0.0261092
+0.0246487
+0.023303
+0.0220725
+0.0209908
+0.0200905
+0.0193969
+0.0189328
+0.018678
+0.0178241
+0.0170211
+0.0164723
+0.0162035
+0.0161746
+0.0164369
+0.0169802
+0.0165985
+0.016209
+0.0161098
+0.0162529
+0.016683
+0.0173518
+0.018237
+0.019331
+0.0206007
+0.0220156
+0.0235496
+0.0249453
+0.0261086
+0.0273978
+0.0287963
+0.0302717
+0.0318295
+0.0334582
+0.035148
+0.0368906
+0.0386788
+0.0405065
+0.0423686
+0.0442609
+0.0461795
+0.0481214
+0.0500838
+0.0510453
+0.0514386
+0.0857459
+0.0854644
+0.0852382
+0.085068
+0.0849539
+0.0848906
+0.0848785
+0.0849229
+0.0850237
+0.0851807
+0.0853937
+0.0856622
+0.0859857
+0.0863636
+0.0867951
+0.0872795
+0.0878159
+0.0884034
+0.088528
+0.0870686
+0.0856403
+0.0842448
+0.0828837
+0.0815587
+0.0802717
+0.0790244
+0.0778188
+0.0766569
+0.0755407
+0.0744722
+0.0734534
+0.0724866
+0.0713589
+0.0692715
+0.0671908
+0.0651172
+0.0630516
+0.0609947
+0.0589474
+0.0569108
+0.0548861
+0.0528747
+0.050878
+0.0488979
+0.0469328
+0.0449839
+0.0430582
+0.0411591
+0.0392831
+0.0374413
+0.0356389
+0.0338823
+0.032179
+0.0305379
+0.0289696
+0.0274865
+0.0261032
+0.0248223
+0.0236635
+0.0226579
+0.0218265
+0.0211898
+0.0207658
+0.0205261
+0.0197155
+0.0189926
+0.0185024
+0.018263
+0.0182345
+0.0184676
+0.0189527
+0.0185153
+0.018167
+0.0180788
+0.0182069
+0.0185918
+0.0192175
+0.0200209
+0.0210224
+0.0221955
+0.0235146
+0.0249566
+0.0263236
+0.0274284
+0.0286584
+0.0299981
+0.0314335
+0.0329405
+0.0345168
+0.0361572
+0.0378534
+0.0395981
+0.0413852
+0.0432095
+0.0450665
+0.0469522
+0.0488634
+0.0507971
+0.0523827
+0.0527681
+0.0873432
+0.0870669
+0.086845
+0.0866778
+0.0865659
+0.0865038
+0.0864919
+0.0865354
+0.0866344
+0.0867885
+0.0869976
+0.0872611
+0.0875787
+0.0879498
+0.0883735
+0.0888493
+0.0893763
+0.0899536
+0.089123
+0.0876734
+0.0862552
+0.0848698
+0.0835188
+0.0822041
+0.0809273
+0.0796903
+0.078495
+0.0773432
+0.076237
+0.0751784
+0.0741694
+0.073212
+0.0719538
+0.0698843
+0.0678223
+0.0657687
+0.0637242
+0.0616897
+0.0596663
+0.0576551
+0.0556575
+0.0536749
+0.051703
+0.049748
+0.0478135
+0.045902
+0.0440166
+0.0421604
+0.0403309
+0.0385391
+0.0367906
+0.0350917
+0.03345
+0.0318744
+0.0303752
+0.0289642
+0.0276458
+0.0264293
+0.0253442
+0.0244079
+0.0236381
+0.0230515
+0.0226587
+0.0224359
+0.0216633
+0.0210076
+0.0205654
+0.0203473
+0.0203217
+0.0205311
+0.0209686
+0.0204872
+0.0201729
+0.0200937
+0.0202095
+0.020557
+0.021127
+0.0218789
+0.0227988
+0.0238849
+0.0251154
+0.0264704
+0.0278062
+0.0288543
+0.030026
+0.0313072
+0.0326852
+0.0341483
+0.0356787
+0.037268
+0.0389158
+0.0406148
+0.0423591
+0.0441432
+0.0459624
+0.0478128
+0.049691
+0.0515937
+0.0535185
+0.0541536
+0.0889659
+0.0886946
+0.0884768
+0.0883127
+0.0882028
+0.0881419
+0.0881302
+0.088173
+0.0882701
+0.0884214
+0.0886266
+0.0888853
+0.0891971
+0.0895614
+0.0899776
+0.090445
+0.0909627
+0.0912354
+0.0897675
+0.0883285
+0.0869209
+0.0855463
+0.0842062
+0.0829024
+0.0816365
+0.0804104
+0.079226
+0.078085
+0.0769894
+0.0759413
+0.0749426
+0.0739952
+0.0726101
+0.0705598
+0.0685181
+0.066486
+0.0644642
+0.0624539
+0.0604561
+0.0584707
+0.0564952
+0.054536
+0.0525951
+0.0506746
+0.0487768
+0.0469046
+0.0450611
+0.0432494
+0.041468
+0.0397276
+0.0380337
+0.0363929
+0.0348126
+0.0333015
+0.0318695
+0.0305226
+0.0292618
+0.0281153
+0.0270978
+0.0262242
+0.0255093
+0.0249667
+0.0245981
+0.024393
+0.0236537
+0.0230546
+0.0226525
+0.0224519
+0.0224287
+0.0226186
+0.0229914
+0.0224995
+0.0222138
+0.022142
+0.0222476
+0.0225637
+0.0230842
+0.0237932
+0.0246421
+0.0256502
+0.0267998
+0.0280736
+0.0293776
+0.0303715
+0.0314867
+0.0327108
+0.034032
+0.0354395
+0.0369234
+0.0384716
+0.0400699
+0.041722
+0.0434218
+0.0451639
+0.0469436
+0.0487568
+0.0505999
+0.0524697
+0.0543634
+0.0555909
+0.0906125
+0.0903461
+0.0901323
+0.0899713
+0.0898634
+0.0898036
+0.0897921
+0.0898341
+0.0899294
+0.0900779
+0.0902793
+0.0905333
+0.0908395
+0.0911972
+0.091606
+0.0920651
+0.0925738
+0.0919173
+0.0904604
+0.0890326
+0.0876364
+0.0862731
+0.0849446
+0.0836522
+0.0823979
+0.0811833
+0.0800103
+0.0788806
+0.0777963
+0.0767592
+0.0757712
+0.0748333
+0.0733259
+0.0712962
+0.0692763
+0.067267
+0.0652695
+0.0632813
+0.0613042
+0.059342
+0.0573964
+0.0554691
+0.053562
+0.0516774
+0.0498179
+0.0479863
+0.046186
+0.0444199
+0.0426873
+0.0409987
+0.0393595
+0.0377764
+0.0362565
+0.0348081
+0.033439
+0.0321433
+0.0309486
+0.0298669
+0.0289111
+0.0280939
+0.0274278
+0.0269239
+0.0265765
+0.0263868
+0.0256767
+0.0251259
+0.0247574
+0.0245716
+0.0245504
+0.024724
+0.0249941
+0.0245424
+0.0242807
+0.0242151
+0.0243122
+0.0246018
+0.0250801
+0.0257366
+0.0265382
+0.0274769
+0.028553
+0.0297518
+0.0310241
+0.0319669
+0.0330283
+0.0341973
+0.0354631
+0.0368159
+0.0382465
+0.0397463
+0.0413079
+0.0429125
+0.0445669
+0.0462659
+0.0480048
+0.0497793
+0.0515859
+0.0534212
+0.0552824
+0.0570761
+0.0922816
+0.0920201
+0.0918102
+0.0916521
+0.0915462
+0.0914875
+0.0914763
+0.0915174
+0.091611
+0.0917568
+0.0919546
+0.092204
+0.0925046
+0.0928559
+0.0932574
+0.0937084
+0.0941195
+0.0926459
+0.0912007
+0.0897847
+0.0884003
+0.0870491
+0.0857325
+0.0844522
+0.08321
+0.0820074
+0.0808463
+0.0797285
+0.0786559
+0.0776303
+0.0766512
+0.0757146
+0.0740996
+0.0720917
+0.0700945
+0.0681044
+0.0661263
+0.064162
+0.0622129
+0.0602803
+0.058366
+0.0564718
+0.0545997
+0.0527522
+0.0509319
+0.0491419
+0.0473855
+0.0456655
+0.043982
+0.0423451
+0.0407601
+0.0392335
+0.0377722
+0.0363843
+0.0350618
+0.0338283
+0.0326952
+0.0316732
+0.0307736
+0.0300071
+0.0293844
+0.0289146
+0.0285859
+0.0283948
+0.0277252
+0.0272159
+0.0268761
+0.0267027
+0.0266832
+0.026843
+0.027026
+0.0266088
+0.0263677
+0.0263073
+0.0263972
+0.0266641
+0.027106
+0.0277146
+0.0284765
+0.0293534
+0.0303631
+0.0314931
+0.0327308
+0.0336294
+0.0346399
+0.0357562
+0.0369687
+0.0382683
+0.0396465
+0.0410953
+0.0426075
+0.0441765
+0.0457882
+0.0474435
+0.0491407
+0.0508757
+0.0526446
+0.0544442
+0.0562716
+0.0581241
+0.0939721
+0.0937153
+0.0935092
+0.093354
+0.09325
+0.0931926
+0.0931815
+0.0932219
+0.0933138
+0.0934569
+0.0936511
+0.093896
+0.0941912
+0.0945363
+0.0949307
+0.0953737
+0.0948818
+0.0934203
+0.0919873
+0.0905836
+0.0892116
+0.0878728
+0.0865687
+0.085301
+0.0840713
+0.0828812
+0.0817326
+0.0806271
+0.0795665
+0.0785492
+0.0775737
+0.0766483
+0.074928
+0.0729375
+0.0709589
+0.0689931
+0.0670412
+0.0651046
+0.0631845
+0.0612826
+0.0594006
+0.0575404
+0.0557043
+0.0538947
+0.0521143
+0.0503663
+0.0486542
+0.0469803
+0.0453457
+0.0437597
+0.0422279
+0.0407563
+0.0393516
+0.0380087
+0.0367435
+0.0355684
+0.0344925
+0.0335254
+0.0326768
+0.031956
+0.031372
+0.0309324
+0.0306202
+0.030418
+0.0297939
+0.0293206
+0.0290055
+0.0288427
+0.0288247
+0.0289727
+0.029081
+0.0286937
+0.0284702
+0.0284143
+0.028498
+0.0287454
+0.0291558
+0.0297224
+0.0304365
+0.0312708
+0.0322205
+0.0332875
+0.0344608
+0.0353463
+0.036309
+0.0373755
+0.0385371
+0.0397855
+0.0411128
+0.0425117
+0.0439752
+0.0454968
+0.047067
+0.048685
+0.0503464
+0.0520412
+0.0537718
+0.0555349
+0.0573275
+0.0591469
+0.095677
+0.0954248
+0.0952223
+0.0950699
+0.0949678
+0.0949162
+0.0949067
+0.0949463
+0.0950365
+0.0951771
+0.0953678
+0.0956082
+0.0958982
+0.0962372
+0.0966246
+0.09706
+0.0956882
+0.0942392
+0.0928188
+0.0914279
+0.0900688
+0.0887429
+0.0874519
+0.0861972
+0.0849804
+0.0838032
+0.0826674
+0.0815745
+0.0805216
+0.07951
+0.0785464
+0.0776327
+0.0758
+0.0738331
+0.0718791
+0.0699392
+0.0680145
+0.0661063
+0.0642162
+0.0623458
+0.0604968
+0.0586714
+0.0568719
+0.0551006
+0.0533605
+0.0516547
+0.0499867
+0.0483586
+0.0467722
+0.0452363
+0.0437562
+0.0423377
+0.0409779
+0.0396865
+0.0384765
+0.0373559
+0.036333
+0.0354162
+0.034614
+0.0339344
+0.033385
+0.0329722
+0.0326748
+0.032463
+0.031879
+0.0314371
+0.0311434
+0.0309899
+0.030973
+0.0311109
+0.0311545
+0.0307933
+0.0305851
+0.0305331
+0.0306114
+0.0308419
+0.0312248
+0.0317545
+0.0324239
+0.0332219
+0.0341174
+0.0351268
+0.0362407
+0.0371086
+0.0380268
+0.0390464
+0.0401597
+0.0413592
+0.0426375
+0.0439879
+0.0454038
+0.0468792
+0.0484045
+0.0499792
+0.051599
+0.0532596
+0.0549573
+0.0566889
+0.0584465
+0.0602321
+0.0974009
+0.0971532
+0.0969543
+0.0968047
+0.0967044
+0.0966537
+0.0966507
+0.0966896
+0.0967782
+0.0969162
+0.0971035
+0.0973397
+0.0976245
+0.0979575
+0.0983381
+0.0980016
+0.0965377
+0.0951016
+0.0936943
+0.0923165
+0.0909707
+0.0896582
+0.0883805
+0.0871391
+0.0859357
+0.0847718
+0.0836491
+0.0825633
+0.081518
+0.0805189
+0.0795675
+0.0786657
+0.0767247
+0.0747821
+0.0728536
+0.0709403
+0.0690435
+0.0671646
+0.0653051
+0.0634668
+0.0616515
+0.0598613
+0.0580986
+0.0563659
+0.0546661
+0.0530023
+0.051378
+0.0497952
+0.048256
+0.0467689
+0.0453388
+0.0439649
+0.0426514
+0.0414122
+0.0402542
+0.0391844
+0.0382105
+0.0373398
+0.0365798
+0.0359374
+0.0354191
+0.0350225
+0.0347411
+0.0345259
+0.0339773
+0.033563
+0.0332881
+0.0331427
+0.033127
+0.0332558
+0.033243
+0.0329047
+0.03271
+0.0326614
+0.032735
+0.0329506
+0.0333093
+0.0338063
+0.0344358
+0.0351907
+0.0360468
+0.0370036
+0.0380626
+0.0389145
+0.039791
+0.0407665
+0.0418341
+0.0429869
+0.0442182
+0.0455217
+0.0468914
+0.0483213
+0.0498024
+0.0513343
+0.0529126
+0.0545332
+0.0561925
+0.0578871
+0.0596141
+0.0613707
+0.0991433
+0.0988999
+0.0987046
+0.0985576
+0.0984591
+0.0984093
+0.0984083
+0.0984508
+0.0985378
+0.0986734
+0.0988573
+0.0990893
+0.0993691
+0.0996963
+0.10007
+0.0988797
+0.0974289
+0.0960062
+0.0946124
+0.0932482
+0.091916
+0.0906172
+0.0893532
+0.0881255
+0.0869358
+0.0857854
+0.084669
+0.0835928
+0.0825606
+0.0815742
+0.0806353
+0.0796318
+0.0777001
+0.0757825
+0.0738801
+0.0719942
+0.0701259
+0.0682768
+0.0664484
+0.0646426
+0.0628613
+0.0611066
+0.0593808
+0.0576866
+0.0560269
+0.0544047
+0.0528237
+0.0512851
+0.049792
+0.0483522
+0.0469663
+0.0456341
+0.04437
+0.0431801
+0.0420708
+0.0410484
+0.0401198
+0.0392914
+0.0385699
+0.0379612
+0.0374669
+0.0370852
+0.0368193
+0.0366036
+0.0360866
+0.0356968
+0.0354385
+0.0353002
+0.0352854
+0.0354064
+0.0353439
+0.0350259
+0.0348431
+0.0347974
+0.0348669
+0.0350694
+0.0354066
+0.0358746
+0.0364684
+0.0371821
+0.0380038
+0.0389125
+0.0399209
+0.0407582
+0.0415959
+0.04253
+0.0435543
+0.0446627
+0.0458491
+0.0471075
+0.0484323
+0.049818
+0.0512559
+0.0527457
+0.0542829
+0.0558638
+0.0574847
+0.0591423
+0.0608336
+0.062556
+0.100903
+0.100664
+0.100472
+0.100328
+0.100231
+0.100182
+0.100181
+0.100228
+0.100314
+0.100448
+0.100628
+0.100856
+0.101131
+0.101453
+0.101255
+0.0997904
+0.0983531
+0.0969439
+0.0955642
+0.0942152
+0.0928983
+0.0916149
+0.0903664
+0.0891542
+0.0879789
+0.0868343
+0.0857292
+0.0846664
+0.0836475
+0.0826741
+0.0817478
+0.0806316
+0.0787245
+0.0768325
+0.0749567
+0.0730985
+0.0712592
+0.0694403
+0.0676434
+0.0658703
+0.0641231
+0.0624039
+0.060715
+0.0590591
+0.0574391
+0.0558579
+0.0543192
+0.0528239
+0.0513756
+0.0499795
+0.0486311
+0.0473457
+0.0461286
+0.0449853
+0.0439215
+0.0429433
+0.0420565
+0.041267
+0.0405806
+0.0400013
+0.0395236
+0.0391616
+0.0389099
+0.0386938
+0.0382051
+0.0378371
+0.0375935
+0.0374551
+0.0374412
+0.0375553
+0.0374551
+0.0371552
+0.0369828
+0.0369398
+0.0370056
+0.0371965
+0.0375146
+0.0379566
+0.0385184
+0.0391947
+0.0399797
+0.0408497
+0.0418114
+0.0426347
+0.0434362
+0.0443315
+0.0453152
+0.0463815
+0.047525
+0.0487401
+0.0500217
+0.0513646
+0.0527604
+0.0542088
+0.0557056
+0.0572472
+0.05883
+0.0604508
+0.0621065
+0.0637945
+0.0930574
+0.0916187
+0.0902016
+0.0888159
+0.0874631
+0.0861448
+0.0848626
+0.0835498
+0.0821747
+0.0808355
+0.0795341
+0.0782724
+0.077003
+0.0757399
+0.0745199
+0.0733058
+0.0721133
+0.0709684
+0.0698734
+0.0688307
+0.0678049
+0.0667445
+0.0657298
+0.0647734
+0.0638778
+0.0630019
+0.0620617
+0.0611286
+0.0602358
+0.0594104
+0.0586552
+0.057973
+0.0573204
+0.0564084
+0.0553645
+0.0543792
+0.0534656
+0.052614
+0.0518379
+0.0511439
+0.0505354
+0.0499867
+0.0495018
+0.0491099
+0.0488053
+0.0485866
+0.0484659
+0.0484442
+0.0485214
+0.0486868
+0.0489032
+0.0492162
+0.0496241
+0.0501245
+0.0507097
+0.0513794
+0.0521327
+0.0529659
+0.0522491
+0.0514649
+0.0507601
+0.0501391
+0.0496071
+0.049167
+0.0488214
+0.0485722
+0.048421
+0.0483686
+0.0484154
+0.0485186
+0.0484572
+0.0484945
+0.0486306
+0.0488645
+0.049195
+0.0496202
+0.0501307
+0.0502347
+0.0499908
+0.0496613
+0.0494267
+0.0492885
+0.0492465
+0.0492842
+0.0494189
+0.04965
+0.0499761
+0.0503954
+0.0509056
+0.0515041
+0.0521877
+0.0529531
+0.053797
+0.0547155
+0.0557052
+0.0567621
+0.0578828
+0.0590634
+0.0603005
+0.0615907
+0.0916059
+0.0901456
+0.0887116
+0.0873022
+0.0859256
+0.0845834
+0.0832771
+0.0820086
+0.0806655
+0.0793009
+0.0779739
+0.0766865
+0.0754408
+0.0741624
+0.072916
+0.0717148
+0.0705061
+0.0693346
+0.0682134
+0.067145
+0.0661319
+0.0650771
+0.064036
+0.0630539
+0.0621335
+0.0612631
+0.0603729
+0.059419
+0.0585066
+0.0576564
+0.0568779
+0.0561742
+0.0555244
+0.0547459
+0.053672
+0.0526551
+0.051711
+0.0508381
+0.0500344
+0.0493151
+0.0486837
+0.0481251
+0.0476213
+0.0472138
+0.0468969
+0.0466692
+0.0465436
+0.0465209
+0.0466013
+0.0467561
+0.0469814
+0.0473071
+0.0477313
+0.0482513
+0.0488567
+0.0495515
+0.0503321
+0.0511269
+0.0502314
+0.0494152
+0.048682
+0.0480354
+0.0474798
+0.0470199
+0.0466584
+0.0463976
+0.0462392
+0.0461843
+0.0462333
+0.04633
+0.0462668
+0.0463058
+0.0464483
+0.0466932
+0.047039
+0.0474834
+0.0480117
+0.0482793
+0.0478378
+0.0474933
+0.047248
+0.0471034
+0.0470591
+0.0470985
+0.0472395
+0.0474811
+0.047822
+0.0482601
+0.0487926
+0.0494167
+0.0501287
+0.0509252
+0.051802
+0.0527554
+0.0537811
+0.0548751
+0.0560335
+0.0572523
+0.0585277
+0.0598561
+0.0901842
+0.0887005
+0.0872466
+0.0858178
+0.084417
+0.0830504
+0.0817196
+0.0804266
+0.079173
+0.0777976
+0.0764445
+0.075131
+0.0738591
+0.0726167
+0.0713432
+0.0701151
+0.0689311
+0.0677324
+0.0665842
+0.0654892
+0.0644501
+0.0634322
+0.062373
+0.0613644
+0.0604183
+0.0595378
+0.0586557
+0.057736
+0.0568092
+0.0559333
+0.0551305
+0.0544041
+0.0537535
+0.0531186
+0.0520168
+0.0509668
+0.0499908
+0.0490933
+0.048263
+0.0475169
+0.0468613
+0.0462874
+0.0457633
+0.0453391
+0.0450141
+0.0447769
+0.0446459
+0.0446223
+0.0446952
+0.0448493
+0.0450841
+0.0454235
+0.0458651
+0.0464037
+0.0470327
+0.0477541
+0.0485636
+0.0491608
+0.0482287
+0.0473781
+0.046613
+0.0459392
+0.0453586
+0.0448769
+0.044498
+0.0442244
+0.0440583
+0.0440007
+0.0440521
+0.0441415
+0.0440763
+0.0441173
+0.0442668
+0.0445237
+0.0448862
+0.0453517
+0.0458995
+0.0461504
+0.0456883
+0.0453275
+0.0450704
+0.0449188
+0.0448716
+0.044913
+0.0450608
+0.0453141
+0.0456712
+0.0461296
+0.0466865
+0.0473383
+0.0480812
+0.0489109
+0.0498233
+0.0508137
+0.0518778
+0.0530112
+0.0542094
+0.0554683
+0.0567838
+0.0581521
+0.0887683
+0.0872866
+0.0858087
+0.0843619
+0.0829389
+0.0815475
+0.0801918
+0.0788736
+0.077595
+0.0763277
+0.0749481
+0.0736078
+0.0723091
+0.0710542
+0.0698039
+0.0685482
+0.0673403
+0.0661638
+0.064988
+0.0638656
+0.0627996
+0.0617859
+0.0607356
+0.0596994
+0.0587267
+0.0578207
+0.0569528
+0.056088
+0.0551379
+0.0542439
+0.0534157
+0.0526657
+0.0519884
+0.0513598
+0.0504024
+0.0493181
+0.0483088
+0.0473794
+0.0465274
+0.0457529
+0.0450717
+0.0444695
+0.0439237
+0.0434816
+0.0431463
+0.042904
+0.0427673
+0.0427402
+0.0428061
+0.0429696
+0.0432146
+0.0435685
+0.0440287
+0.0445871
+0.0452414
+0.0459908
+0.0468308
+0.0472145
+0.0462432
+0.0453553
+0.0445555
+0.0438505
+0.0432441
+0.0427388
+0.0423407
+0.0420532
+0.0418784
+0.0418178
+0.0418719
+0.0419533
+0.0418859
+0.041929
+0.0420863
+0.0423564
+0.0427373
+0.0432233
+0.043795
+0.0440275
+0.0435429
+0.0431642
+0.0428941
+0.0427348
+0.0426844
+0.0427277
+0.042883
+0.0431491
+0.0435239
+0.0440048
+0.0445882
+0.0452702
+0.0460465
+0.0469122
+0.0478627
+0.0488929
+0.0499979
+0.0511729
+0.0524131
+0.0537141
+0.0550715
+0.0564813
+0.0873585
+0.0858799
+0.0844031
+0.0829318
+0.0814923
+0.0800763
+0.0786952
+0.0773516
+0.0760473
+0.0747845
+0.0734864
+0.072119
+0.070793
+0.0695107
+0.0682747
+0.0670162
+0.0657802
+0.064595
+0.0634272
+0.0622768
+0.0611831
+0.0601494
+0.0591257
+0.0580678
+0.0570673
+0.0561345
+0.0552728
+0.0543951
+0.0534997
+0.0525915
+0.0517369
+0.0509621
+0.0502569
+0.049634
+0.0488228
+0.047713
+0.046669
+0.0457063
+0.0448299
+0.0440273
+0.043319
+0.0426837
+0.0421178
+0.0416565
+0.0413064
+0.0410494
+0.0409065
+0.0408782
+0.040947
+0.0411206
+0.0413766
+0.0417461
+0.0422262
+0.0428054
+0.0434865
+0.0442657
+0.0451378
+0.0452905
+0.044277
+0.0433489
+0.0425113
+0.0417719
+0.041136
+0.040606
+0.0401868
+0.0398837
+0.0396993
+0.0396354
+0.0396925
+0.0397654
+0.0396955
+0.039741
+0.0399069
+0.0401917
+0.0405929
+0.0410985
+0.0416994
+0.0419117
+0.0414023
+0.0410038
+0.0407194
+0.0405515
+0.0404973
+0.0405429
+0.0407065
+0.0409867
+0.0413812
+0.0418866
+0.0424991
+0.0432141
+0.0440266
+0.0449313
+0.0459228
+0.0469955
+0.0481441
+0.0493633
+0.0506478
+0.051993
+0.0533942
+0.0548471
+0.0859761
+0.0844787
+0.0830066
+0.0815355
+0.0800714
+0.0786386
+0.0772318
+0.0758623
+0.074532
+0.073243
+0.0719977
+0.0706668
+0.069313
+0.0680028
+0.0667388
+0.065518
+0.064257
+0.063043
+0.0618829
+0.0607254
+0.0596033
+0.0585417
+0.0575224
+0.056474
+0.0554447
+0.0544842
+0.053596
+0.0527335
+0.0518797
+0.0509678
+0.0500976
+0.0492958
+0.0485625
+0.0479176
+0.0472832
+0.0461561
+0.045076
+0.0440785
+0.0431692
+0.042342
+0.041605
+0.0409365
+0.04035
+0.0398682
+0.0395
+0.0392294
+0.0390799
+0.0390502
+0.0391223
+0.0393068
+0.0395745
+0.0399607
+0.0404602
+0.0410634
+0.0417729
+0.0425834
+0.0434893
+0.0432888
+0.0423329
+0.0413611
+0.0404824
+0.0397053
+0.0390357
+0.0384787
+0.0380361
+0.0377157
+0.0375207
+0.0374531
+0.0375134
+0.0375778
+0.0375052
+0.0375533
+0.0377288
+0.03803
+0.0384537
+0.0389811
+0.0396141
+0.0397806
+0.0392672
+0.0388468
+0.0385465
+0.0383691
+0.0383105
+0.0383587
+0.0385316
+0.0388275
+0.0392437
+0.0397763
+0.0404208
+0.0411719
+0.0420239
+0.0429708
+0.0440065
+0.0451248
+0.0463198
+0.0475857
+0.048917
+0.0503084
+0.0517553
+0.0532428
+0.0845696
+0.0831117
+0.0816149
+0.0801501
+0.0786853
+0.0772293
+0.0758002
+0.0744064
+0.0730506
+0.0717351
+0.0704631
+0.069237
+0.0678714
+0.0665329
+0.0652404
+0.0639909
+0.0627732
+0.06153
+0.0603407
+0.0592087
+0.0580631
+0.0569728
+0.0559471
+0.0549135
+0.0538624
+0.0528731
+0.0519574
+0.0511115
+0.0502439
+0.0493856
+0.0485018
+0.0476686
+0.0469092
+0.0462412
+0.0456504
+0.0446457
+0.0435351
+0.0425014
+0.0415575
+0.0406982
+0.0399308
+0.0392338
+0.0386255
+0.038122
+0.0377326
+0.0374492
+0.0372925
+0.0372615
+0.037337
+0.0375333
+0.0378135
+0.0382175
+0.0387366
+0.0393662
+0.0401057
+0.0409493
+0.0418905
+0.0412695
+0.0404139
+0.0393949
+0.0384713
+0.0376527
+0.0369459
+0.0363576
+0.0358894
+0.0355497
+0.0353427
+0.0352709
+0.035335
+0.0353905
+0.0353149
+0.035366
+0.0355523
+0.0358717
+0.0363206
+0.0368722
+0.0375355
+0.0376336
+0.0371386
+0.0366938
+0.0363757
+0.0361877
+0.0361242
+0.0361753
+0.0363586
+0.0366721
+0.0371124
+0.0376752
+0.038355
+0.0391457
+0.0400409
+0.0410336
+0.0421169
+0.0432841
+0.0445285
+0.0458439
+0.0472243
+0.0486642
+0.0501491
+0.0516764
+0.0831107
+0.0817376
+0.0802589
+0.0787688
+0.0773122
+0.0758545
+0.0743991
+0.0729785
+0.0715969
+0.070255
+0.0689557
+0.0677024
+0.0664708
+0.0651034
+0.063782
+0.0625033
+0.0612714
+0.0600587
+0.0588398
+0.0576783
+0.0565659
+0.0554461
+0.0543916
+0.0533598
+0.052324
+0.0513051
+0.0503608
+0.0494956
+0.0486376
+0.0477993
+0.0469387
+0.0460865
+0.0453016
+0.0446095
+0.0439952
+0.0431796
+0.0420512
+0.0409807
+0.040001
+0.039108
+0.0383088
+0.0375817
+0.0369472
+0.0364216
+0.0360117
+0.0357146
+0.0355504
+0.0355177
+0.035597
+0.0358059
+0.0360996
+0.0365225
+0.0370623
+0.0377199
+0.0384911
+0.0393692
+0.0401669
+0.0392687
+0.0384743
+0.0374536
+0.0364809
+0.0356165
+0.0348685
+0.0342446
+0.0337483
+0.0333868
+0.0331663
+0.0330898
+0.0331581
+0.0332038
+0.0331246
+0.0331791
+0.0333777
+0.0337176
+0.0341911
+0.0347734
+0.0353879
+0.0354912
+0.0350176
+0.0345455
+0.0342075
+0.0340074
+0.0339385
+0.0339929
+0.0341879
+0.0345211
+0.0349885
+0.0355848
+0.0363038
+0.0371383
+0.0380806
+0.0391231
+0.0402579
+0.0414774
+0.0427744
+0.0441421
+0.0455741
+0.0470559
+0.0485817
+0.0501567
+0.0816779
+0.0802816
+0.0789121
+0.077425
+0.0759425
+0.074495
+0.0730368
+0.0715892
+0.0701802
+0.0688121
+0.0674858
+0.0662046
+0.0649721
+0.0637171
+0.0623663
+0.0610581
+0.0597965
+0.0585896
+0.0573792
+0.0561875
+0.0550572
+0.0539594
+0.0528768
+0.051852
+0.0508205
+0.049784
+0.0488104
+0.0479172
+0.0470785
+0.046239
+0.0454048
+0.0445466
+0.0437446
+0.0430203
+0.0423828
+0.0417769
+0.0406103
+0.0395229
+0.0385062
+0.0375783
+0.0367458
+0.0359872
+0.035324
+0.0347739
+0.0343443
+0.0340327
+0.0338603
+0.0338261
+0.0339093
+0.0341311
+0.034439
+0.0348817
+0.0354444
+0.0361315
+0.0369358
+0.0378501
+0.0382339
+0.0372891
+0.0364517
+0.0355413
+0.0345148
+0.0335998
+0.0328059
+0.032142
+0.0316139
+0.0312277
+0.030992
+0.03091
+0.0309832
+0.0310175
+0.0309344
+0.0309928
+0.0312052
+0.0315686
+0.0320665
+0.0326867
+0.0332459
+0.0333524
+0.0329057
+0.0324029
+0.0320423
+0.0318286
+0.0317535
+0.0318116
+0.0320199
+0.0323754
+0.0328733
+0.0335073
+0.0342699
+0.0351527
+0.0361469
+0.0372435
+0.0384338
+0.0397094
+0.0410623
+0.0424851
+0.0439635
+0.0454874
+0.047064
+0.0486881
+0.0802792
+0.0788582
+0.0774731
+0.0761078
+0.074612
+0.0731382
+0.0717008
+0.0702407
+0.0688041
+0.0674081
+0.0660552
+0.0647464
+0.0634855
+0.0622762
+0.060987
+0.0596547
+0.0583664
+0.0571294
+0.0559507
+0.0547384
+0.0535775
+0.0524825
+0.0513994
+0.0503571
+0.0493324
+0.0483061
+0.0473021
+0.0463798
+0.0455444
+0.0447036
+0.0438804
+0.0430627
+0.0422424
+0.0414824
+0.040821
+0.0402592
+0.0392381
+0.0381154
+0.0370806
+0.0361167
+0.0352497
+0.0344582
+0.033765
+0.0331891
+0.0327387
+0.0324117
+0.0322306
+0.0321946
+0.032282
+0.0325149
+0.032838
+0.033302
+0.033891
+0.0346089
+0.0354478
+0.0363994
+0.0363302
+0.0353345
+0.0344496
+0.033663
+0.0325773
+0.0316063
+0.030761
+0.0300519
+0.0294879
+0.0290734
+0.02882
+0.0287319
+0.0288106
+0.028832
+0.0287443
+0.0288071
+0.0290355
+0.0294257
+0.0299515
+0.0306145
+0.0311107
+0.0312199
+0.0308049
+0.0302672
+0.0298808
+0.0296516
+0.0295693
+0.0296317
+0.0298552
+0.0302361
+0.0307687
+0.0314452
+0.0322566
+0.0331929
+0.034244
+0.0353996
+0.0366499
+0.0379854
+0.0393976
+0.0408719
+0.0423937
+0.0439721
+0.0456011
+0.0472755
+0.0789166
+0.0774706
+0.0760602
+0.0746874
+0.0733229
+0.0718226
+0.0703585
+0.068924
+0.0674711
+0.0660469
+0.0646655
+0.0633298
+0.0620407
+0.0608027
+0.0596195
+0.0582928
+0.0569818
+0.055717
+0.0545079
+0.0533352
+0.0521479
+0.0510222
+0.0499672
+0.0489018
+0.0478983
+0.0468732
+0.0458405
+0.0448883
+0.0440245
+0.0432246
+0.042413
+0.0415985
+0.0407925
+0.0400054
+0.0393191
+0.0387351
+0.0379402
+0.0367806
+0.0357136
+0.0347313
+0.0338295
+0.0330039
+0.0322795
+0.0316765
+0.0312043
+0.0308611
+0.0306708
+0.030633
+0.0307248
+0.0309695
+0.0313085
+0.0317948
+0.0324112
+0.0331611
+0.0340358
+0.0350258
+0.0343834
+0.0334092
+0.0324719
+0.0316586
+0.0306739
+0.0296407
+0.0287376
+0.0279772
+0.0273715
+0.026925
+0.0266512
+0.0265559
+0.026641
+0.0266473
+0.0265543
+0.0266222
+0.0268693
+0.0272905
+0.0278481
+0.02856
+0.0289837
+0.0290961
+0.0287175
+0.0281399
+0.0277238
+0.0274767
+0.0273861
+0.0274535
+0.0276945
+0.0281048
+0.028677
+0.0294017
+0.0302679
+0.0312638
+0.0323776
+0.0335975
+0.0349123
+0.0363118
+0.0377813
+0.0393008
+0.0408812
+0.0425157
+0.0441985
+0.045924
+0.0775919
+0.0761207
+0.0746848
+0.0732863
+0.0719273
+0.0705505
+0.0690594
+0.0675994
+0.0661758
+0.0647312
+0.0633212
+0.0619565
+0.0606403
+0.0593734
+0.0581612
+0.0569827
+0.0556408
+0.054354
+0.0531162
+0.0519389
+0.0507702
+0.0496157
+0.0485302
+0.0475029
+0.0464765
+0.0454675
+0.0444389
+0.043456
+0.0425632
+0.0417663
+0.0409662
+0.0401555
+0.0394109
+0.0385963
+0.0378845
+0.0372776
+0.036711
+0.0355308
+0.0344251
+0.033405
+0.0324943
+0.0316345
+0.030878
+0.0302472
+0.0297523
+0.029392
+0.0291922
+0.0291525
+0.029249
+0.0295058
+0.0298615
+0.030371
+0.0310157
+0.0317986
+0.0327097
+0.0330829
+0.0323047
+0.0315186
+0.0305232
+0.0296565
+0.0288091
+0.0277088
+0.0267405
+0.0259216
+0.0252667
+0.024784
+0.0244863
+0.0243825
+0.0244751
+0.0244636
+0.0243642
+0.0244383
+0.0247071
+0.0251592
+0.0257593
+0.0265273
+0.026867
+0.026982
+0.0266453
+0.0260218
+0.0255713
+0.0253031
+0.0252042
+0.0252774
+0.025539
+0.0259833
+0.0266012
+0.0273809
+0.028309
+0.0293715
+0.0305543
+0.0318441
+0.0332284
+0.0346921
+0.0362087
+0.0377914
+0.0394323
+0.0411245
+0.0428619
+0.0446392
+0.0762665
+0.0748106
+0.0733491
+0.0719246
+0.0705394
+0.0691959
+0.0678053
+0.066317
+0.0648686
+0.0634598
+0.0620251
+0.0606313
+0.0592856
+0.0579916
+0.0567499
+0.0555668
+0.054355
+0.053037
+0.0517783
+0.0505714
+0.0494306
+0.0482676
+0.0471511
+0.0461116
+0.0451088
+0.0440893
+0.0430929
+0.042089
+0.0411666
+0.0403421
+0.0395714
+0.0387794
+0.0380134
+0.0372617
+0.036521
+0.0358946
+0.0353735
+0.0343576
+0.0332312
+0.0321733
+0.0312267
+0.0303319
+0.0295573
+0.0289101
+0.0283871
+0.0280093
+0.0277996
+0.0277616
+0.0278673
+0.0281368
+0.0285096
+0.0290427
+0.0297163
+0.0305325
+0.0314802
+0.031064
+0.0302418
+0.0295514
+0.0286096
+0.0276831
+0.0269035
+0.0258182
+0.0247762
+0.0238901
+0.0231778
+0.0226525
+0.0223264
+0.0222125
+0.022313
+0.0222814
+0.0221737
+0.0222551
+0.02255
+0.0230349
+0.0236889
+0.0245218
+0.0247632
+0.0248792
+0.0245919
+0.0239149
+0.0234239
+0.0231308
+0.0230241
+0.0231042
+0.0233901
+0.0238744
+0.0245454
+0.0253883
+0.0263866
+0.0275234
+0.0287823
+0.030148
+0.0316043
+0.0331177
+0.0347031
+0.0363514
+0.0380545
+0.0398053
+0.0415978
+0.0434269
+0.0749586
+0.0734941
+0.0720553
+0.0706047
+0.0691931
+0.0678228
+0.0664965
+0.065083
+0.0636065
+0.0621721
+0.0607804
+0.0593573
+0.0579821
+0.0566583
+0.0553894
+0.0541766
+0.0530266
+0.0517793
+0.0504892
+0.0492628
+0.0480916
+0.0469661
+0.0458352
+0.0447653
+0.0437788
+0.0427789
+0.0417766
+0.0407871
+0.0398415
+0.0389891
+0.0382432
+0.0374703
+0.0366839
+0.0359818
+0.0352172
+0.0345717
+0.0340542
+0.0332814
+0.0321271
+0.0310475
+0.0300655
+0.029135
+0.0283278
+0.0276519
+0.0271186
+0.0267229
+0.026503
+0.0264631
+0.0265743
+0.0268594
+0.0272668
+0.0278238
+0.0285261
+0.0293754
+0.0300651
+0.0290676
+0.0281983
+0.0274565
+0.0267386
+0.0257448
+0.0249046
+0.0239688
+0.0228531
+0.0218893
+0.0211096
+0.0205335
+0.0201731
+0.020047
+0.0201562
+0.020101
+0.0199833
+0.0200736
+0.0204
+0.0209243
+0.0216422
+0.0225508
+0.0226758
+0.0227929
+0.0225638
+0.021824
+0.0212848
+0.0209619
+0.0208461
+0.0209345
+0.0212497
+0.0217816
+0.0225151
+0.0234311
+0.0245093
+0.0257291
+0.0270716
+0.0285181
+0.0300282
+0.0316167
+0.0332737
+0.0349894
+0.0367557
+0.0385655
+0.040413
+0.0422933
+0.0736069
+0.072205
+0.0707487
+0.0693288
+0.0678907
+0.0664936
+0.0651403
+0.0638334
+0.0623959
+0.060933
+0.0595148
+0.058138
+0.0567333
+0.0553796
+0.0540808
+0.0528407
+0.0516609
+0.0505486
+0.0492639
+0.0480061
+0.0468169
+0.0456874
+0.0445716
+0.0434876
+0.0424715
+0.0415421
+0.0405099
+0.0395586
+0.0385925
+0.0377148
+0.0369432
+0.0362062
+0.0354329
+0.0347312
+0.0340048
+0.0333357
+0.0327997
+0.0323143
+0.0311242
+0.0300339
+0.0290234
+0.0280583
+0.0272192
+0.0265153
+0.025962
+0.0255598
+0.0253298
+0.0252881
+0.0254027
+0.0257008
+0.0261422
+0.0267232
+0.0274595
+0.0283407
+0.0281684
+0.0271011
+0.0261741
+0.0253777
+0.0247456
+0.0238503
+0.0229408
+0.0221715
+0.0209825
+0.0199284
+0.0190688
+0.0184307
+0.0180288
+0.0178876
+0.0180076
+0.0179231
+0.017793
+0.0178943
+0.0182598
+0.0188321
+0.0196266
+0.0206016
+0.0206066
+0.0207282
+0.0205691
+0.0197547
+0.0191574
+0.0187979
+0.0186711
+0.0187698
+0.0191206
+0.0197101
+0.0205178
+0.021519
+0.0226882
+0.0240008
+0.0254343
+0.0269406
+0.0285328
+0.0302001
+0.0319307
+0.0337149
+0.0355445
+0.037413
+0.0393147
+0.0412451
+0.0722964
+0.0708705
+0.0694777
+0.0680336
+0.0666301
+0.0652109
+0.0638304
+0.0624962
+0.0612113
+0.0597485
+0.0583015
+0.0569021
+0.0555428
+0.0541593
+0.0528305
+0.0515606
+0.0503535
+0.0492117
+0.0481071
+0.0468183
+0.0455984
+0.0444517
+0.0433683
+0.0422579
+0.041234
+0.0402856
+0.0393245
+0.038357
+0.0374202
+0.0365156
+0.0357182
+0.0350336
+0.034275
+0.0335505
+0.0328817
+0.0322016
+0.0316463
+0.0312288
+0.030247
+0.0291239
+0.0281078
+0.0271163
+0.026247
+0.0255165
+0.0249411
+0.0245313
+0.0242915
+0.024248
+0.024372
+0.0246826
+0.0251284
+0.0257323
+0.026504
+0.0274282
+0.0263174
+0.0251718
+0.0241709
+0.0233195
+0.0226299
+0.0220108
+0.0210219
+0.0202227
+0.0191582
+0.0180206
+0.0170651
+0.016349
+0.0158972
+0.0157369
+0.0158705
+0.0157487
+0.0156028
+0.0157182
+0.0161278
+0.0167649
+0.0176528
+0.0185634
+0.0185615
+0.0186829
+0.0186185
+0.0177146
+0.017046
+0.016641
+0.0165002
+0.0166118
+0.0170072
+0.0176674
+0.0185641
+0.0196651
+0.020938
+0.0223537
+0.0238558
+0.0254525
+0.0271322
+0.0288804
+0.0306855
+0.032538
+0.0344303
+0.036356
+0.0383103
+0.0402889
+0.0710217
+0.0695773
+0.068165
+0.0667828
+0.0653526
+0.0639653
+0.0625698
+0.0612082
+0.0598957
+0.058622
+0.0571465
+0.0557181
+0.0543405
+0.0530016
+0.051643
+0.0503431
+0.0491066
+0.0479376
+0.0468394
+0.0457047
+0.0444542
+0.0432786
+0.0421815
+0.0411036
+0.0400502
+0.0390868
+0.0382076
+0.0372321
+0.0363225
+0.0354095
+0.0345873
+0.0338862
+0.033207
+0.0324747
+0.0318587
+0.0311785
+0.0306064
+0.0301758
+0.0295067
+0.0283542
+0.0273095
+0.0263232
+0.0254269
+0.0246722
+0.0240767
+0.0236517
+0.0234029
+0.0233578
+0.0234894
+0.0238114
+0.0242705
+0.0248952
+0.0256921
+0.0258787
+0.0245225
+0.0232887
+0.0222031
+0.0212871
+0.02053
+0.0199849
+0.0191613
+0.018281
+0.0174155
+0.0161769
+0.0151134
+0.0143
+0.0137842
+0.013599
+0.0137504
+0.0135796
+0.0134127
+0.0135468
+0.0140043
+0.0147336
+0.0157364
+0.0165641
+0.0165459
+0.0166645
+0.0167127
+0.0157152
+0.0149574
+0.0144942
+0.0143354
+0.0144637
+0.0149162
+0.0156647
+0.0166695
+0.0178875
+0.0192782
+0.020775
+0.022377
+0.0240719
+0.0258415
+0.0276715
+0.0295505
+0.0314699
+0.0334227
+0.0354033
+0.0374073
+0.0394312
+0.0697869
+0.0683177
+0.0668881
+0.0654943
+0.0641244
+0.06271
+0.0613412
+0.0599725
+0.0586323
+0.0573446
+0.0560533
+0.0545963
+0.0531896
+0.0518374
+0.0505226
+0.0491931
+0.0479269
+0.0467292
+0.0456043
+0.0445562
+0.0433878
+0.0421825
+0.0410587
+0.0399858
+0.0389538
+0.037963
+0.0370576
+0.036186
+0.0352716
+0.0343833
+0.0335607
+0.0328385
+0.0322092
+0.0315043
+0.0308796
+0.0302607
+0.0296857
+0.0292492
+0.0289006
+0.0277367
+0.0266677
+0.025693
+0.0247739
+0.0239989
+0.0233862
+0.0229482
+0.0226917
+0.0226452
+0.0227809
+0.0231128
+0.0235855
+0.0242278
+0.025046
+0.024224
+0.0227968
+0.0214641
+0.0202811
+0.0192752
+0.0184512
+0.0178427
+0.0173779
+0.0164022
+0.0156738
+0.0144068
+0.0132368
+0.0122998
+0.0116997
+0.0114809
+0.0116563
+0.0114187
+0.0112228
+0.0113827
+0.0119052
+0.0127551
+0.0139014
+0.0146159
+0.014562
+0.0146948
+0.0147515
+0.013774
+0.0129028
+0.0123628
+0.0121798
+0.0123306
+0.0128583
+0.0137196
+0.0148566
+0.0162113
+0.0177001
+0.0193087
+0.0210228
+0.0228185
+0.0246782
+0.0265883
+0.0285387
+0.0305218
+0.0325316
+0.0345633
+0.0366124
+0.0386765
+0.0685161
+0.0671034
+0.0656486
+0.0642343
+0.0628628
+0.061507
+0.0601109
+0.0587633
+0.0574248
+0.0561094
+0.0548499
+0.0535407
+0.0521056
+0.0507244
+0.0494019
+0.0481154
+0.0468201
+0.0455933
+0.0444407
+0.0433668
+0.0423339
+0.0411693
+0.0400171
+0.0389155
+0.0378993
+0.0369351
+0.0360038
+0.0351844
+0.0342979
+0.033467
+0.0326236
+0.0318956
+0.0312878
+0.0306534
+0.0300255
+0.0294766
+0.0288778
+0.0284295
+0.0281235
+0.0272815
+0.026194
+0.0252169
+0.0242927
+0.0235111
+0.0228853
+0.0224374
+0.022175
+0.0221274
+0.0222662
+0.0226057
+0.0230887
+0.0237446
+0.0241007
+0.0226604
+0.0211291
+0.0197142
+0.0184191
+0.0173053
+0.0164016
+0.0157138
+0.0152419
+0.0146104
+0.0137878
+0.0127231
+0.0114459
+0.0103769
+0.00966191
+0.00939625
+0.00960541
+0.00927179
+0.00903333
+0.00923126
+0.00984611
+0.0108584
+0.0121841
+0.0127402
+0.0126467
+0.0127542
+0.0127569
+0.0118918
+0.0109012
+0.0102564
+0.0100395
+0.0102218
+0.0108526
+0.0118605
+0.0131591
+0.0146351
+0.0162518
+0.0179903
+0.0198188
+0.0217143
+0.0236609
+0.0256469
+0.0276638
+0.0297048
+0.0317646
+0.0338408
+0.0359307
+0.0380318
+0.0672814
+0.0658522
+0.0644488
+0.0630188
+0.061622
+0.0602724
+0.0589364
+0.0575613
+0.0562379
+0.0549338
+0.0536467
+0.0524196
+0.0510924
+0.0496831
+0.0483321
+0.0470443
+0.0457914
+0.0445362
+0.0433555
+0.0422555
+0.0412409
+0.0401984
+0.0390707
+0.0379416
+0.0368986
+0.0359589
+0.0350554
+0.0342133
+0.0334396
+0.0325905
+0.0318076
+0.0310606
+0.0304361
+0.0298967
+0.0292958
+0.0287705
+0.0282142
+0.0277552
+0.0274447
+0.0269629
+0.0258976
+0.0249088
+0.0239727
+0.0231851
+0.022557
+0.0221065
+0.0218401
+0.0217918
+0.0219591
+0.0223032
+0.0227926
+0.022915
+0.0222453
+0.0211629
+0.0195635
+0.0180353
+0.0166374
+0.0153953
+0.0143813
+0.0136047
+0.013099
+0.012764
+0.0120056
+0.0111367
+0.00979091
+0.00858242
+0.0077036
+0.00737332
+0.00763263
+0.00715152
+0.00684464
+0.00709766
+0.0078585
+0.00909474
+0.0106116
+0.010968
+0.0108295
+0.0108429
+0.0108052
+0.0101171
+0.00898816
+0.00819431
+0.00792667
+0.00815643
+0.00893425
+0.0101347
+0.0115877
+0.013214
+0.0149848
+0.0168546
+0.0187938
+0.0207831
+0.0228092
+0.0248613
+0.0269351
+0.0290261
+0.0311309
+0.0332467
+0.0353717
+0.0375042
+0.0660962
+0.0646408
+0.0632279
+0.0618355
+0.0604333
+0.0590566
+0.0577303
+0.0564016
+0.0550679
+0.0537724
+0.0525074
+0.051253
+0.0500604
+0.0487182
+0.0473396
+0.0460241
+0.0447732
+0.0435638
+0.042356
+0.0412292
+0.0401905
+0.0391893
+0.0381949
+0.0370717
+0.0360035
+0.0350398
+0.0341896
+0.033358
+0.0326193
+0.0318338
+0.0310976
+0.0303515
+0.0297217
+0.0292331
+0.0287088
+0.0281773
+0.0276639
+0.0272099
+0.0269125
+0.0267722
+0.025756
+0.0247912
+0.0238505
+0.0230587
+0.0224271
+0.0219739
+0.0217059
+0.0216572
+0.0218295
+0.0221829
+0.0219423
+0.0211711
+0.0204446
+0.0197495
+0.018077
+0.016467
+0.0149434
+0.0135703
+0.0124081
+0.011526
+0.0109644
+0.0105805
+0.0103413
+0.00965292
+0.00822479
+0.00695097
+0.00591073
+0.00547383
+0.00579736
+0.0050114
+0.0046569
+0.00498038
+0.00601367
+0.00752052
+0.00929189
+0.00932729
+0.00914253
+0.00905905
+0.00896216
+0.00851411
+0.00717683
+0.0062208
+0.00587123
+0.00617791
+0.00717356
+0.00857673
+0.0102126
+0.0120264
+0.0139487
+0.0159405
+0.0179767
+0.0200445
+0.0221361
+0.0242451
+0.0263675
+0.0285002
+0.0306411
+0.0327885
+0.0349413
+0.0370986
+0.0649633
+0.063482
+0.0620427
+0.0606484
+0.0592683
+0.0578859
+0.0565312
+0.0552303
+0.0539152
+0.0526136
+0.0513559
+0.0501215
+0.0488985
+0.047742
+0.0464293
+0.0450872
+0.0438096
+0.0426013
+0.0414477
+0.0402949
+0.0392279
+0.0382562
+0.0372605
+0.0363133
+0.0352221
+0.0342365
+0.0333658
+0.0326191
+0.0318705
+0.0311879
+0.0304361
+0.0297654
+0.0291358
+0.0286566
+0.0282226
+0.0277443
+0.0272591
+0.0268184
+0.0265264
+0.0264038
+0.0257927
+0.0248307
+0.0239291
+0.02314
+0.0225106
+0.0220592
+0.0217922
+0.0217437
+0.0219153
+0.0212845
+0.0203181
+0.0194984
+0.0187071
+0.0181322
+0.0166898
+0.0149961
+0.0133713
+0.0118546
+0.0105213
+0.00949227
+0.0088158
+0.00840076
+0.00832922
+0.00776584
+0.00684528
+0.00550402
+0.00438745
+0.00388629
+0.00383969
+0.00289661
+0.00247163
+0.00296829
+0.00443928
+0.00631586
+0.00791393
+0.00793111
+0.00769205
+0.00745013
+0.00723378
+0.00688365
+0.00559885
+0.00442436
+0.00396214
+0.00440501
+0.00566058
+0.00729255
+0.00916071
+0.0111454
+0.0131927
+0.0152799
+0.0173925
+0.0195224
+0.0216644
+0.0238152
+0.0259727
+0.0281354
+0.0303021
+0.0324719
+0.0346445
+0.0368191
+0.0638206
+0.06237
+0.0609132
+0.0594924
+0.0581162
+0.0567529
+0.0553899
+0.0540615
+0.0527906
+0.0514952
+0.0502184
+0.0490016
+0.047808
+0.0466244
+0.0455086
+0.0442391
+0.0429363
+0.0417027
+0.04055
+0.0394385
+0.0383471
+0.0373524
+0.0364125
+0.0354976
+0.0345622
+0.0335571
+0.0326683
+0.0319054
+0.0312292
+0.0305926
+0.0299208
+0.0293005
+0.0286895
+0.0282094
+0.0278648
+0.0274497
+0.0269929
+0.0265817
+0.0262871
+0.0261633
+0.0260144
+0.025061
+0.0242064
+0.0234267
+0.0228052
+0.0223597
+0.0220964
+0.0220486
+0.0210634
+0.0198494
+0.018809
+0.0179277
+0.0170742
+0.0164589
+0.0154894
+0.0136475
+0.0119242
+0.0102771
+0.00877248
+0.0075127
+0.00668398
+0.00622866
+0.00614326
+0.00597341
+0.00479119
+0.00406257
+0.00323648
+0.0028525
+0.00193653
+0.000880072
+0.000324767
+0.00143273
+0.0035549
+0.00505973
+0.00634118
+0.00681744
+0.00650289
+0.00612861
+0.00573252
+0.00526584
+0.00437814
+0.0029588
+0.00232846
+0.00305815
+0.00461089
+0.0065035
+0.00853978
+0.0106376
+0.0127666
+0.0149135
+0.0170716
+0.019237
+0.0214076
+0.0235819
+0.0257589
+0.0279381
+0.030119
+0.0323012
+0.0344844
+0.0366686
+0.0626951
+0.0612452
+0.0598157
+0.0583957
+0.0569964
+0.0556349
+0.0542977
+0.0529576
+0.0516595
+0.0504233
+0.0491415
+0.0478974
+0.0467229
+0.0455848
+0.04445
+0.04336
+0.0421588
+0.0409018
+0.0397259
+0.0386385
+0.0375735
+0.0365578
+0.0356404
+0.0347199
+0.0339023
+0.0330095
+0.0321055
+0.0313288
+0.0306892
+0.0300836
+0.0295456
+0.0289312
+0.0283957
+0.0279171
+0.0276015
+0.0272807
+0.0268675
+0.0265244
+0.0262292
+0.0261052
+0.0259588
+0.0254783
+0.0246667
+0.0239007
+0.0232851
+0.0228637
+0.0226097
+0.0212333
+0.0198335
+0.0185624
+0.0174451
+0.0164909
+0.0155788
+0.0149018
+0.0144838
+0.0125389
+0.0106374
+0.00887042
+0.00718617
+0.00568981
+0.00460772
+0.00407582
+0.00396252
+0.00393047
+0.0029139
+0.00205971
+0.00188822
+0.00131814
+0.000158634
+-0.000914883
+-0.000268845
+0.00164532
+0.00250335
+0.0035514
+0.00515686
+0.00606393
+0.00569163
+0.00522943
+0.00469825
+0.00410391
+0.00334275
+0.00231479
+0.00182264
+0.00269865
+0.00438269
+0.00634364
+0.00841641
+0.0105361
+0.0126799
+0.0148375
+0.0170035
+0.0191751
+0.0213507
+0.023529
+0.0257094
+0.0278915
+0.0300748
+0.0322591
+0.0344442
+0.03663
+0.0615683
+0.0601498
+0.05872
+0.0573151
+0.0559366
+0.0545622
+0.0532184
+0.0519114
+0.0505981
+0.0493352
+0.0481266
+0.0468693
+0.0456686
+0.0445431
+0.0434619
+0.042381
+0.0413321
+0.0401896
+0.0390075
+0.0378817
+0.036845
+0.0358795
+0.0349449
+0.0340573
+0.0332253
+0.0324946
+0.0316844
+0.0308972
+0.0302485
+0.0296977
+0.0291949
+0.0286952
+0.0282164
+0.0277884
+0.0274675
+0.0272308
+0.0269204
+0.0266352
+0.0263335
+0.0262099
+0.0260848
+0.0260478
+0.0252699
+0.0245416
+0.0239425
+0.0234958
+0.0218226
+0.0202273
+0.0187525
+0.0174289
+0.0162609
+0.0152326
+0.0142641
+0.0135216
+0.0130816
+0.0117385
+0.00968103
+0.00769752
+0.0058634
+0.00410535
+0.00262881
+0.00193973
+0.00179437
+0.00181555
+0.00130096
+-3.11961e-05
+0.000468831
+-0.000588258
+-0.00163832
+-0.00138011
+-0.000547926
+7.26473e-05
+0.00118248
+0.00280232
+0.00468938
+0.00592208
+0.00551704
+0.00502418
+0.00436456
+0.00374075
+0.00306396
+0.00265975
+0.00265296
+0.0035115
+0.00498996
+0.00681932
+0.00879737
+0.0108428
+0.012936
+0.0150569
+0.0171953
+0.0193454
+0.0215037
+0.0236679
+0.0258366
+0.0280088
+0.0301836
+0.0323605
+0.0345392
+0.0367194
+0.0604224
+0.0590399
+0.0576517
+0.0562521
+0.0548716
+0.0535237
+0.0521965
+0.0508758
+0.0496018
+0.0483221
+0.0471001
+0.0459052
+0.0446942
+0.0435464
+0.0424776
+0.0414532
+0.0404373
+0.0394366
+0.0383612
+0.0372318
+0.0361765
+0.0352259
+0.0343746
+0.0334933
+0.0326564
+0.0319382
+0.0313309
+0.0306166
+0.0299436
+0.0293741
+0.0289299
+0.0285783
+0.0281407
+0.0277928
+0.0274789
+0.0273159
+0.0271506
+0.0268678
+0.0266036
+0.0264809
+0.0263927
+0.0264129
+0.0260193
+0.0253503
+0.0245214
+0.0227614
+0.0210537
+0.0194172
+0.0178757
+0.0164819
+0.0152527
+0.0141859
+0.0131828
+0.0123755
+0.0119194
+0.0112773
+0.00915904
+0.00702976
+0.0049543
+0.00300416
+0.00108986
+-0.000181214
+-0.0003611
+-0.00028802
+-0.000253621
+-0.0013151
+-0.00163515
+-0.00251148
+-0.00336155
+-0.00262464
+-0.00136548
+-0.000172938
+0.00142119
+0.00321189
+0.00502188
+0.00639798
+0.00599484
+0.00558385
+0.00485543
+0.00428331
+0.00381916
+0.00373211
+0.00409539
+0.00488495
+0.00617329
+0.00779753
+0.00959184
+0.011524
+0.0135352
+0.0155841
+0.0176588
+0.0197585
+0.0218761
+0.0240068
+0.0261474
+0.0282957
+0.0304501
+0.0326092
+0.0347723
+0.0369387
+0.0593353
+0.0579269
+0.0565683
+0.0552048
+0.0538493
+0.0524955
+0.0511683
+0.0499019
+0.0486164
+0.0473671
+0.0461419
+0.0449675
+0.0437905
+0.042632
+0.0415469
+0.0405439
+0.0395853
+0.0386446
+0.0376874
+0.0367012
+0.0356302
+0.0346648
+0.0338138
+0.0330433
+0.0322235
+0.0314987
+0.0309092
+0.0303722
+0.0297842
+0.0292116
+0.0287946
+0.0284765
+0.0282039
+0.0279207
+0.0276245
+0.0274838
+0.0274539
+0.0272622
+0.0270486
+0.0268938
+0.0268762
+0.0268886
+0.0269266
+0.0257758
+0.0239424
+0.022174
+0.0204668
+0.0188059
+0.0172345
+0.0157841
+0.0144959
+0.0134009
+0.0123745
+0.0114295
+0.0103665
+0.00964224
+0.00901072
+0.00692761
+0.00482464
+0.00282762
+0.00101546
+-4.93643e-05
+-0.000864269
+-0.00225412
+-0.00226462
+-0.00295455
+-0.00380381
+-0.00439832
+-0.0037595
+-0.00176739
+5.19438e-05
+0.000999972
+0.00157602
+0.00229592
+0.00333247
+0.00498498
+0.00689901
+0.00662536
+0.00597585
+0.00553169
+0.00524664
+0.00527228
+0.00574048
+0.0065824
+0.00769412
+0.00911311
+0.0107489
+0.012518
+0.0143909
+0.016343
+0.0183491
+0.0203932
+0.022457
+0.0245374
+0.0266354
+0.0287472
+0.0308701
+0.0330017
+0.0351407
+0.0372857
+0.0583103
+0.0568765
+0.0554922
+0.0541611
+0.0528263
+0.0515209
+0.0501874
+0.0488957
+0.0476697
+0.0464378
+0.0452343
+0.0440719
+0.0429526
+0.0417985
+0.0407013
+0.0396888
+0.0387613
+0.0378736
+0.0369931
+0.0360804
+0.0351989
+0.0342212
+0.033359
+0.0326144
+0.0319309
+0.0312039
+0.030612
+0.0301646
+0.0292615
+0.0283382
+0.0275493
+0.0269156
+0.0264041
+0.0260674
+0.0259121
+0.0259159
+0.0260942
+0.026417
+0.0268685
+0.0270824
+0.0269681
+0.0270108
+0.0272139
+0.0254147
+0.0235532
+0.0217531
+0.0200311
+0.0184002
+0.0168087
+0.0153378
+0.0140357
+0.0128429
+0.0114173
+0.010076
+0.00890815
+0.00804381
+0.00736889
+0.00658245
+0.00467648
+0.00279683
+0.00103865
+0.000122343
+-0.00123567
+-0.00275707
+-0.00416193
+-0.0049443
+-0.00588558
+-0.00622772
+-0.00435179
+-0.00267462
+-0.00148015
+-0.00116967
+-0.000438604
+0.000325025
+0.00206821
+0.00413347
+0.00626462
+0.00802996
+0.00753903
+0.00717614
+0.00699882
+0.00708962
+0.00755755
+0.00835589
+0.0094017
+0.0106645
+0.012132
+0.0137576
+0.0155111
+0.0173375
+0.0192402
+0.0211985
+0.0231985
+0.0252301
+0.0272864
+0.0293557
+0.0314374
+0.0335331
+0.0356402
+0.0377568
+0.0573447
+0.0558923
+0.0544829
+0.0531266
+0.0518274
+0.0505259
+0.0492587
+0.0479685
+0.0467182
+0.045539
+0.0443659
+0.0432161
+0.0421281
+0.041065
+0.0399478
+0.0389208
+0.0379698
+0.0371233
+0.0363171
+0.0355115
+0.0346763
+0.0339
+0.0330293
+0.0322841
+0.0316661
+0.0310555
+0.0297755
+0.0285614
+0.0274686
+0.0265122
+0.0256731
+0.0249924
+0.0244547
+0.0240907
+0.0239225
+0.0239272
+0.0241202
+0.0244542
+0.0249412
+0.0251523
+0.0250292
+0.0250746
+0.0252963
+0.0252392
+0.0233638
+0.0215479
+0.019808
+0.0181658
+0.0166105
+0.0150883
+0.0135854
+0.0119607
+0.0104631
+0.00904593
+0.00773604
+0.0067397
+0.00595236
+0.00535802
+0.00437515
+0.00242093
+0.000758207
+-0.0009612
+-0.00217879
+-0.00367647
+-0.00488436
+-0.0062837
+-0.00704101
+-0.00680893
+-0.00568477
+-0.00441146
+-0.00356861
+-0.00303532
+-0.00198261
+-0.000248333
+0.00184917
+0.00401993
+0.00619937
+0.00836418
+0.00929464
+0.0090244
+0.00891414
+0.00903588
+0.00946129
+0.0101792
+0.0111507
+0.0123516
+0.0136735
+0.0151778
+0.0167989
+0.0185334
+0.0203292
+0.0221917
+0.0241094
+0.0260701
+0.0280649
+0.030087
+0.0321311
+0.0341934
+0.0362653
+0.0383474
+0.0564043
+0.0549668
+0.0535444
+0.0521636
+0.0508398
+0.0495775
+0.0483147
+0.0470899
+0.0458517
+0.0446496
+0.0435243
+0.04241
+0.041322
+0.0403195
+0.0392757
+0.0382384
+0.0372886
+0.0364262
+0.0356778
+0.0349419
+0.0341777
+0.0335007
+0.0328429
+0.0318749
+0.0307025
+0.0295785
+0.0281863
+0.0269006
+0.0257374
+0.024714
+0.0238485
+0.0231163
+0.0225495
+0.0221542
+0.0219713
+0.021977
+0.0221742
+0.0225207
+0.0230609
+0.0232684
+0.0231353
+0.0231839
+0.0234232
+0.0238208
+0.023379
+0.0215644
+0.0198259
+0.0181375
+0.0163954
+0.0147387
+0.013066
+0.0114356
+0.00985858
+0.00844997
+0.00703449
+0.00590894
+0.00499871
+0.00415864
+0.00340522
+0.00249664
+0.000559574
+-0.00105665
+-0.00254427
+-0.0037255
+-0.00488519
+-0.00638534
+-0.00715448
+-0.0069262
+-0.00719588
+-0.00568988
+-0.00440765
+-0.00306935
+-0.00117938
+0.000460889
+0.00220238
+0.00405667
+0.00592695
+0.00785483
+0.00989275
+0.0109795
+0.0109147
+0.0110678
+0.0114471
+0.0121019
+0.0130096
+0.014073
+0.0153477
+0.0167137
+0.0182304
+0.0198568
+0.021568
+0.0233487
+0.0251784
+0.0270618
+0.0289884
+0.0309502
+0.0329409
+0.0349554
+0.03699
+0.0390415
+0.0555234
+0.0540739
+0.0526638
+0.0512762
+0.0499289
+0.0486429
+0.0474233
+0.0462055
+0.0450299
+0.0438517
+0.0426985
+0.0416138
+0.0405966
+0.0395639
+0.0386201
+0.0376336
+0.0366808
+0.0358298
+0.0350889
+0.0344509
+0.0337556
+0.0327308
+0.0314184
+0.0301556
+0.0289287
+0.0277927
+0.0266824
+0.0253205
+0.0240811
+0.0229841
+0.0220508
+0.0212957
+0.0206987
+0.0202694
+0.0200693
+0.0200764
+0.0202628
+0.0206345
+0.0212239
+0.0214429
+0.0212984
+0.0213505
+0.0216049
+0.0220212
+0.0226137
+0.0214786
+0.0196882
+0.0179082
+0.0162289
+0.0145543
+0.0128884
+0.0112369
+0.00972139
+0.00829891
+0.00691678
+0.00574744
+0.0047351
+0.00363866
+0.00244242
+0.00153555
+0.000764913
+-0.00103223
+-0.00242849
+-0.00371109
+-0.0053045
+-0.00686744
+-0.00717918
+-0.00751184
+-0.00792538
+-0.00664874
+-0.00530933
+-0.00368435
+-0.0018308
+0.000112079
+0.00220994
+0.00390748
+0.00569582
+0.00768193
+0.00975603
+0.0118721
+0.0129767
+0.0131236
+0.0134854
+0.0140676
+0.0149078
+0.0159028
+0.0170575
+0.0183743
+0.0197718
+0.0212961
+0.0229183
+0.0246116
+0.0263782
+0.0281892
+0.0300436
+0.0319407
+0.0338731
+0.0358353
+0.0378226
+0.0398313
+0.0546603
+0.0532339
+0.0518238
+0.050446
+0.0490988
+0.0477905
+0.0465486
+0.0453785
+0.0442129
+0.0430944
+0.041955
+0.0408648
+0.0398508
+0.0389059
+0.0379457
+0.0370801
+0.0361829
+0.0353269
+0.0345815
+0.0339591
+0.0326523
+0.0311835
+0.0298035
+0.028501
+0.0271996
+0.026007
+0.0249241
+0.0238238
+0.0225162
+0.021339
+0.0203228
+0.0194902
+0.0188561
+0.0184229
+0.0182025
+0.0182057
+0.0184067
+0.0188145
+0.0194318
+0.0196302
+0.0195033
+0.0195698
+0.0198312
+0.0202986
+0.0209399
+0.0213365
+0.0195709
+0.0178419
+0.0161558
+0.014594
+0.013012
+0.0114598
+0.0100063
+0.00870526
+0.00739958
+0.0063202
+0.00532251
+0.0040502
+0.0026302
+0.00122757
+-8.35696e-05
+-0.000987021
+-0.00209423
+-0.00343538
+-0.00509798
+-0.00591735
+-0.00657813
+-0.00715506
+-0.00796864
+-0.00688147
+-0.00575715
+-0.00380474
+-0.00200527
+0.000118866
+0.00214466
+0.00416412
+0.00626461
+0.00811936
+0.0101041
+0.0121597
+0.0142532
+0.0152122
+0.0155543
+0.0160915
+0.0168335
+0.017789
+0.0188522
+0.0200764
+0.0214212
+0.0228408
+0.02437
+0.0259885
+0.0276673
+0.0294136
+0.0312159
+0.0330468
+0.0349182
+0.0363622
+0.0378517
+0.0394013
+0.0538278
+0.0524247
+0.0510299
+0.0496612
+0.0483244
+0.0470249
+0.0457622
+0.0445714
+0.0434586
+0.0423534
+0.0412835
+0.0402069
+0.0391907
+0.0382577
+0.0373877
+0.0365191
+0.0357414
+0.0349442
+0.0342008
+0.032867
+0.0312551
+0.0297173
+0.0282658
+0.0269144
+0.0255415
+0.0242728
+0.0231244
+0.0221175
+0.021024
+0.0197791
+0.0186809
+0.0177715
+0.0170957
+0.0166168
+0.0163735
+0.0163772
+0.0166019
+0.0170569
+0.0177278
+0.0178795
+0.017754
+0.0178271
+0.0181137
+0.0186298
+0.0193432
+0.0202334
+0.0196562
+0.0179915
+0.0163394
+0.0148017
+0.0134054
+0.0119803
+0.0105564
+0.00898324
+0.00765381
+0.00628546
+0.0051996
+0.00399458
+0.0030488
+0.00209436
+0.000750324
+-0.000686978
+-0.00216262
+-0.00358847
+-0.00409155
+-0.00447007
+-0.00483091
+-0.00515981
+-0.00606893
+-0.00683258
+-0.00544734
+-0.00378976
+-0.00222706
+-5.00037e-05
+0.00212032
+0.00413357
+0.00616244
+0.00827412
+0.0104184
+0.0125786
+0.0147477
+0.0168296
+0.017635
+0.0181429
+0.018815
+0.0196968
+0.0207232
+0.0218428
+0.0231163
+0.0244811
+0.0259167
+0.0274494
+0.0290644
+0.0304864
+0.0316475
+0.0329137
+0.0342733
+0.0357154
+0.0371559
+0.0386668
+0.0529772
+0.0516111
+0.0502601
+0.0489129
+0.0475923
+0.0462993
+0.0450578
+0.043859
+0.0427276
+0.0416807
+0.040639
+0.0396133
+0.0386138
+0.0376972
+0.0368568
+0.036038
+0.0352724
+0.0346164
+0.0333692
+0.0316314
+0.029953
+0.0283447
+0.0268189
+0.0253907
+0.023969
+0.0226123
+0.0213925
+0.0203054
+0.0193998
+0.0183204
+0.0171512
+0.0161559
+0.0154064
+0.0148814
+0.0146083
+0.0146287
+0.01488
+0.0154031
+0.0161192
+0.016194
+0.016092
+0.0161935
+0.0164952
+0.017061
+0.017849
+0.0188101
+0.0196062
+0.0178134
+0.0161192
+0.0145582
+0.0131682
+0.011977
+0.0104393
+0.00895449
+0.00768472
+0.00628907
+0.00531912
+0.00402282
+0.0027176
+0.00208009
+0.00117578
+6.14486e-05
+-0.00130997
+-0.00309368
+-0.00321379
+-0.00322831
+-0.00265054
+-0.00309445
+-0.00432584
+-0.00593802
+-0.00503653
+-0.0035185
+-0.00181276
+1.78452e-05
+0.00200795
+0.00413785
+0.00630891
+0.00833933
+0.0103948
+0.0124793
+0.0145889
+0.0167194
+0.0188637
+0.0202197
+0.0208385
+0.0216396
+0.022604
+0.0236802
+0.0248598
+0.0261699
+0.0270153
+0.0278394
+0.0288061
+0.0298732
+0.0310573
+0.0323338
+0.033634
+0.0350231
+0.0364909
+0.0380283
+0.0521911
+0.0508179
+0.0494892
+0.0481716
+0.0468667
+0.0456298
+0.0443811
+0.0431957
+0.042091
+0.0410351
+0.0400639
+0.0390553
+0.0380782
+0.0371884
+0.0363642
+0.0356011
+0.0349083
+0.0341361
+0.0323018
+0.0305032
+0.0287591
+0.0270799
+0.0254785
+0.0239706
+0.0225002
+0.0210491
+0.0197328
+0.018575
+0.0175805
+0.0168053
+0.0157438
+0.0146639
+0.0138375
+0.0132664
+0.0129736
+0.0129906
+0.0132729
+0.0137498
+0.0145273
+0.0146428
+0.0145106
+0.0146531
+0.0149746
+0.0155963
+0.0164553
+0.0175221
+0.0187384
+0.0176364
+0.0159235
+0.0143392
+0.0129298
+0.0114808
+0.00989933
+0.00831269
+0.00698095
+0.00553595
+0.0044254
+0.0032732
+0.00196635
+0.00102073
+-0.000151034
+-0.00140581
+-0.00147415
+-0.0014439
+-0.00186069
+-0.00125193
+-0.000489264
+-0.0013041
+-0.00306792
+-0.00498062
+-0.00470062
+-0.00308935
+-0.00111965
+0.000510959
+0.00254235
+0.00438978
+0.00642873
+0.00847551
+0.0105043
+0.0125707
+0.0146672
+0.0167878
+0.0189243
+0.021072
+0.0228927
+0.0236242
+0.0245287
+0.0250019
+0.025328
+0.0258363
+0.0265165
+0.0273556
+0.0283275
+0.0293653
+0.0304778
+0.0317028
+0.0330278
+0.0344414
+0.0358991
+0.0373864
+0.051446
+0.0500752
+0.0487599
+0.0474747
+0.0461953
+0.0449412
+0.0437595
+0.0425983
+0.0414776
+0.0404447
+0.0395063
+0.0385816
+0.0376289
+0.0367327
+0.0359478
+0.0352185
+0.0345691
+0.03321
+0.0313275
+0.0294876
+0.0276872
+0.0259388
+0.0242622
+0.0226735
+0.0211566
+0.0196063
+0.0181859
+0.0169306
+0.0158554
+0.0150012
+0.0143819
+0.0133373
+0.012423
+0.0118343
+0.0115244
+0.0114347
+0.0116751
+0.012205
+0.0130746
+0.0132183
+0.0130764
+0.0132129
+0.0136298
+0.0143174
+0.0152315
+0.0163782
+0.0176798
+0.0177102
+0.0160051
+0.0144298
+0.0129111
+0.0112528
+0.00974866
+0.00811031
+0.00674129
+0.00536254
+0.00411077
+0.00283942
+0.00169175
+0.000713824
+-0.000753555
+0.000191308
+0.000585967
+0.000728832
+0.00028542
+0.000706502
+0.00067554
+-0.000992308
+-0.0027793
+-0.00434623
+-0.00391117
+-0.00285545
+-0.00121772
+0.000548963
+0.00231678
+0.00432299
+0.0064189
+0.00853441
+0.0106114
+0.0127265
+0.0148636
+0.0170143
+0.0191741
+0.0213401
+0.0234822
+0.0245148
+0.0245112
+0.0246498
+0.0249805
+0.0254958
+0.0261178
+0.0269005
+0.0278304
+0.0288359
+0.0299681
+0.0312131
+0.0325207
+0.0338732
+0.0352503
+0.036688
+0.0507845
+0.0493954
+0.0480635
+0.0467887
+0.0455796
+0.0443384
+0.0431509
+0.0420346
+0.0409724
+0.0399264
+0.0389756
+0.0381077
+0.0372469
+0.036393
+0.0356001
+0.0349268
+0.0343151
+0.0324058
+0.0304736
+0.0285788
+0.0267292
+0.024935
+0.0231895
+0.0215217
+0.019913
+0.018282
+0.0167681
+0.0154101
+0.014251
+0.0132984
+0.0126284
+0.0121939
+0.0111911
+0.0105067
+0.0101394
+0.0100098
+0.0102783
+0.0108643
+0.0117576
+0.0119875
+0.0117921
+0.0119161
+0.0123767
+0.0131382
+0.0141682
+0.0153973
+0.0167711
+0.0180309
+0.016345
+0.0146487
+0.0129289
+0.0112013
+0.00966331
+0.00825469
+0.00677994
+0.00557422
+0.00429479
+0.00310698
+0.00215715
+0.00146463
+0.00112766
+0.00213834
+0.00264987
+0.00281409
+0.00243911
+0.00163597
+-0.000136156
+-0.00190482
+-0.00345953
+-0.00358389
+-0.00306258
+-0.00260034
+-0.000801661
+0.000814663
+0.00265976
+0.00449353
+0.00645944
+0.00848808
+0.0105742
+0.0126955
+0.014837
+0.0169911
+0.0191535
+0.0213216
+0.023494
+0.024281
+0.0242236
+0.0243633
+0.0246618
+0.0251174
+0.0257446
+0.0265382
+0.0274467
+0.0284487
+0.0295237
+0.030626
+0.031841
+0.0331564
+0.0345474
+0.0360132
+0.0501887
+0.0488045
+0.0474561
+0.0461645
+0.0449426
+0.0437962
+0.042626
+0.0415052
+0.0404673
+0.0395016
+0.0385437
+0.0376604
+0.0368861
+0.0361187
+0.0353722
+0.0346945
+0.0337351
+0.0317327
+0.0297569
+0.0278132
+0.0259091
+0.0240537
+0.0222594
+0.0205397
+0.0187978
+0.0170896
+0.0154872
+0.0140122
+0.012738
+0.0117203
+0.0109693
+0.0104608
+0.0101786
+0.00938123
+0.00893045
+0.00875874
+0.00900207
+0.00966708
+0.0106314
+0.0109958
+0.0107559
+0.0108645
+0.0113311
+0.0121265
+0.0132159
+0.0145477
+0.0160462
+0.0176634
+0.0164706
+0.0147588
+0.0131244
+0.0114264
+0.00992339
+0.00871682
+0.00734735
+0.00636109
+0.00525931
+0.00445259
+0.0037454
+0.00333657
+0.00330608
+0.00388717
+0.00469756
+0.00486554
+0.00320877
+0.00114763
+-0.000834343
+-0.00267336
+-0.00320138
+-0.0027352
+-0.00239185
+-0.00205613
+-0.000356665
+0.00142753
+0.00312467
+0.00513673
+0.00697653
+0.00891408
+0.0109323
+0.0130065
+0.0151135
+0.0172414
+0.0193815
+0.0215272
+0.0236807
+0.0240792
+0.0240213
+0.0241622
+0.0244631
+0.0249224
+0.0255295
+0.0262237
+0.0269882
+0.0278475
+0.0288477
+0.0299748
+0.0312137
+0.0325215
+0.033906
+0.0353657
+0.0496291
+0.0482516
+0.0469359
+0.0456369
+0.0444006
+0.0432399
+0.0421611
+0.0410664
+0.0400185
+0.0390506
+0.0381748
+0.0373364
+0.0365553
+0.0358633
+0.0352033
+0.0345851
+0.033003
+0.0311834
+0.0291873
+0.027203
+0.0252529
+0.0233454
+0.0214921
+0.019708
+0.0178825
+0.0160773
+0.0143797
+0.0127911
+0.0113861
+0.0102539
+0.00940816
+0.00881509
+0.0086134
+0.00865115
+0.00803493
+0.00779863
+0.0080325
+0.00873541
+0.00977732
+0.0101172
+0.00982321
+0.00996558
+0.0104414
+0.0113105
+0.0124875
+0.0138876
+0.0154517
+0.0171523
+0.0168471
+0.015162
+0.0136215
+0.0120328
+0.0106047
+0.00944306
+0.00838451
+0.00747541
+0.00671225
+0.00626341
+0.00572432
+0.00543513
+0.00549403
+0.00586168
+0.00664727
+0.00592027
+0.00384006
+0.00192419
+4.27162e-05
+-0.0020612
+-0.00278593
+-0.00237861
+-0.00174659
+-0.00115678
+-7.19936e-05
+0.00167513
+0.00357788
+0.00554576
+0.00748358
+0.00949961
+0.0115052
+0.0135517
+0.0156337
+0.0177149
+0.0198057
+0.021916
+0.0240407
+0.0240759
+0.024018
+0.0241071
+0.0242928
+0.024669
+0.0251385
+0.0256991
+0.0264295
+0.0272959
+0.028285
+0.0293828
+0.0305962
+0.0319139
+0.0333237
+0.0348079
+0.0491462
+0.0477699
+0.0464406
+0.0451765
+0.0439603
+0.0427885
+0.0416981
+0.0406884
+0.0396683
+0.0387094
+0.037835
+0.0370532
+0.0363311
+0.0356522
+0.035047
+0.0339208
+0.0320059
+0.0301286
+0.028286
+0.0264932
+0.0247645
+0.0228262
+0.0209269
+0.0190691
+0.017168
+0.0152749
+0.0134724
+0.0118007
+0.0102619
+0.00898921
+0.00801106
+0.00734781
+0.00710018
+0.00735055
+0.00751164
+0.00723099
+0.00748134
+0.00819283
+0.00912854
+0.00927165
+0.00908331
+0.00932477
+0.00989852
+0.0108114
+0.0120577
+0.013489
+0.0151013
+0.0168447
+0.0174472
+0.0158261
+0.014357
+0.0129531
+0.0116145
+0.0105645
+0.00972647
+0.0089539
+0.0084514
+0.00817965
+0.00779633
+0.00758596
+0.00768337
+0.00795026
+0.00781018
+0.00562124
+0.0034345
+0.00125264
+-0.000882096
+-0.0019777
+-0.002561
+-0.00210974
+-0.00126445
+-0.000720803
+0.000281767
+0.00197651
+0.00388377
+0.0058299
+0.00788599
+0.00989776
+0.0119139
+0.0139827
+0.0160838
+0.018206
+0.0202881
+0.0223868
+0.0244295
+0.0240593
+0.0238851
+0.0239111
+0.0241364
+0.0243074
+0.0246554
+0.0251864
+0.025887
+0.0267492
+0.0277557
+0.0288714
+0.0301054
+0.0314049
+0.0327808
+0.0342409
+0.0486803
+0.0473302
+0.0460419
+0.0447701
+0.0435615
+0.0424122
+0.0413458
+0.0403358
+0.039369
+0.0384389
+0.0376045
+0.0368335
+0.0361441
+0.0355545
+0.0349978
+0.0330767
+0.0311232
+0.0291979
+0.027298
+0.0254357
+0.0236298
+0.0218942
+0.020247
+0.0186386
+0.0166488
+0.0147018
+0.0128336
+0.0110605
+0.00944083
+0.00804111
+0.00694619
+0.0061544
+0.0058771
+0.00605029
+0.00661267
+0.00704999
+0.00714603
+0.00753512
+0.00821703
+0.00845201
+0.00833882
+0.00872618
+0.00942575
+0.0104694
+0.0118308
+0.0133602
+0.0150397
+0.0168036
+0.0182916
+0.0167524
+0.0153721
+0.0141357
+0.0129202
+0.0119852
+0.0113355
+0.0106799
+0.0103632
+0.0101428
+0.00991947
+0.00975454
+0.0098732
+0.00989016
+0.00776764
+0.00562347
+0.00353634
+0.00160445
+-0.000310577
+-0.00170558
+-0.00262394
+-0.00188699
+-0.000682693
+-0.000236416
+0.000713545
+0.00250324
+0.00448204
+0.00632682
+0.00826013
+0.0102935
+0.0123648
+0.0144703
+0.0165835
+0.0186714
+0.0207608
+0.0228687
+0.024325
+0.0239532
+0.0237782
+0.023753
+0.0237384
+0.0238946
+0.0242486
+0.0247873
+0.0254988
+0.0263628
+0.0273251
+0.0284002
+0.0295986
+0.030906
+0.0323032
+0.0337731
+0.0483056
+0.0469447
+0.0456456
+0.0444166
+0.043251
+0.0421034
+0.041029
+0.0400457
+0.0390993
+0.0382458
+0.0374171
+0.036684
+0.0360522
+0.0354832
+0.0343744
+0.032351
+0.0303509
+0.0283789
+0.0264359
+0.024528
+0.0226506
+0.0208336
+0.0190893
+0.0174315
+0.0158894
+0.0143986
+0.0124675
+0.010633
+0.00896004
+0.00748942
+0.00632678
+0.0054642
+0.00502135
+0.00504111
+0.00567949
+0.006639
+0.00648747
+0.00667721
+0.00717859
+0.00728286
+0.0074602
+0.00815505
+0.00908321
+0.0101767
+0.0115726
+0.0131596
+0.0148729
+0.0166944
+0.0185906
+0.0179003
+0.0166156
+0.0154973
+0.0144418
+0.0136087
+0.0130557
+0.0125518
+0.0123578
+0.0121838
+0.0120668
+0.0119312
+0.0115094
+0.00950013
+0.00759191
+0.0054684
+0.00329195
+0.0011654
+-0.000564178
+-0.00118006
+-0.00218452
+-0.00168387
+-0.000434792
+0.000124504
+0.00126427
+0.00297541
+0.00494414
+0.00691464
+0.00895384
+0.0109554
+0.0129818
+0.0150009
+0.0170624
+0.0191397
+0.0212022
+0.0232881
+0.0242562
+0.0238833
+0.0236494
+0.0235663
+0.0235205
+0.0236672
+0.0239861
+0.0244975
+0.0251823
+0.0259781
+0.026929
+0.0280193
+0.0291787
+0.0304359
+0.0317945
+0.0332307
+0.0480214
+0.046659
+0.0453517
+0.0441145
+0.0429535
+0.041875
+0.0408157
+0.0398271
+0.0389232
+0.0380658
+0.0373174
+0.0366231
+0.0360074
+0.0354999
+0.0338189
+0.0317602
+0.0297203
+0.0277035
+0.0257095
+0.0237433
+0.0218199
+0.0199517
+0.0181213
+0.0163656
+0.0147112
+0.0131884
+0.0116631
+0.0102271
+0.00881983
+0.00729659
+0.00604289
+0.00514427
+0.00452443
+0.00447643
+0.00494715
+0.00532449
+0.00571777
+0.0056684
+0.0062631
+0.00648008
+0.00668255
+0.00733226
+0.00837763
+0.00973177
+0.0113425
+0.0130564
+0.0148958
+0.0167851
+0.018679
+0.01923
+0.0180124
+0.0169802
+0.0161183
+0.0153616
+0.0148739
+0.0145083
+0.0143408
+0.0142693
+0.0142273
+0.0126937
+0.0107176
+0.0088428
+0.00712045
+0.00498664
+0.00293776
+0.00105222
+-0.000624688
+-0.00128869
+-0.00244033
+-0.00121883
+-7.80031e-05
+0.000515011
+0.0017155
+0.00365602
+0.005606
+0.0074571
+0.00938419
+0.0113942
+0.0134607
+0.0155612
+0.0176836
+0.0198005
+0.0218367
+0.0238672
+0.0242248
+0.0237734
+0.0234623
+0.0232105
+0.0231641
+0.0233243
+0.0236583
+0.0241766
+0.0248304
+0.0255922
+0.0265136
+0.0275453
+0.028707
+0.029984
+0.0313622
+0.0328257
+0.047761
+0.0464441
+0.0451623
+0.0439197
+0.0427534
+0.0416698
+0.0406695
+0.0397283
+0.0388358
+0.0380026
+0.0372518
+0.0365923
+0.0360533
+0.0354971
+0.0333981
+0.0313117
+0.0292406
+0.0271882
+0.0251534
+0.02314
+0.0211619
+0.0192298
+0.0173452
+0.0155265
+0.0137827
+0.0121441
+0.0105573
+0.00898639
+0.00767584
+0.0066795
+0.00617603
+0.00517831
+0.00460892
+0.00441481
+0.00437449
+0.00408643
+0.00456424
+0.00525258
+0.0057578
+0.00611321
+0.0062383
+0.00691295
+0.00802984
+0.00945091
+0.0111084
+0.0128896
+0.0147558
+0.0166957
+0.0182569
+0.019306
+0.0195501
+0.0186034
+0.0178764
+0.017215
+0.0167813
+0.0165192
+0.0163723
+0.0155161
+0.0136002
+0.0117806
+0.0100923
+0.00809717
+0.00621675
+0.00451134
+0.0026448
+0.000514066
+-0.00114299
+-0.00101377
+-0.00119059
+-0.00066018
+0.000576382
+0.0016136
+0.00269557
+0.0042322
+0.00601192
+0.00799833
+0.0100056
+0.0119978
+0.0140459
+0.0160755
+0.0181378
+0.0202272
+0.022336
+0.0244591
+0.0241725
+0.0236024
+0.0232258
+0.0230405
+0.0229938
+0.0231551
+0.0234953
+0.0239019
+0.0244984
+0.0252555
+0.0261533
+0.0271928
+0.0283558
+0.0296353
+0.0310151
+0.0324689
+0.047544
+0.0462606
+0.0450058
+0.0438182
+0.0426491
+0.0415627
+0.0405656
+0.0396377
+0.0387998
+0.0380505
+0.0373003
+0.0366414
+0.0361031
+0.0352329
+0.0331172
+0.0310119
+0.0289194
+0.0268424
+0.0247793
+0.0227327
+0.0207157
+0.0187377
+0.0168001
+0.014915
+0.0131016
+0.0114002
+0.00968004
+0.00805335
+0.00664306
+0.00558996
+0.00498956
+0.00484508
+0.00511935
+0.00474456
+0.00392
+0.00341324
+0.003724
+0.00463326
+0.00516546
+0.00598576
+0.00628089
+0.00699575
+0.00819455
+0.00963923
+0.0111987
+0.012647
+0.014265
+0.0154791
+0.0165458
+0.0176966
+0.0189429
+0.0202935
+0.0196704
+0.0191399
+0.0187507
+0.0185238
+0.0165884
+0.0147248
+0.0128228
+0.0108738
+0.0090227
+0.00734997
+0.00569949
+0.00358562
+0.00165894
+5.7093e-05
+-0.000868474
+-0.000876244
+-0.00110782
+-0.0004591
+0.000991068
+0.0019532
+0.0031442
+0.00484956
+0.00667391
+0.00855201
+0.0104535
+0.0123742
+0.0143724
+0.0164197
+0.0184951
+0.0205856
+0.0226901
+0.0248021
+0.0241252
+0.0235556
+0.0231782
+0.0229657
+0.0229188
+0.023029
+0.0232369
+0.0236468
+0.0242154
+0.0249587
+0.0258668
+0.0269161
+0.0280633
+0.0292955
+0.030627
+0.0320529
+0.0472663
+0.0461058
+0.0449026
+0.0437398
+0.0426232
+0.0415427
+0.0405451
+0.0396436
+0.0388263
+0.0380967
+0.0374498
+0.036821
+0.0362854
+0.0351037
+0.0329798
+0.0308651
+0.0287618
+0.0266726
+0.0245952
+0.022532
+0.0204952
+0.0184937
+0.0165295
+0.0146097
+0.0127441
+0.0109192
+0.00905515
+0.00735968
+0.00587419
+0.00479321
+0.00416578
+0.00388119
+0.00409478
+0.00372035
+0.00386288
+0.00333907
+0.00327887
+0.00384186
+0.00439356
+0.00509563
+0.00595934
+0.0065213
+0.00709004
+0.00816538
+0.00957602
+0.0111944
+0.0126241
+0.0137666
+0.0149574
+0.0162154
+0.0175426
+0.0189751
+0.0205237
+0.0211166
+0.0193176
+0.017509
+0.015767
+0.0137928
+0.0118946
+0.0101154
+0.00839436
+0.00644618
+0.00458973
+0.00316042
+0.00151568
+-0.000378985
+-0.00145357
+-0.0012652
+-0.000766517
+0.000219713
+0.00159978
+0.00260382
+0.00377811
+0.00516098
+0.00692188
+0.00887623
+0.0109132
+0.0129116
+0.0149448
+0.0169815
+0.0189955
+0.021037
+0.0231059
+0.0249115
+0.0242111
+0.0236027
+0.0231862
+0.022952
+0.0228754
+0.022912
+0.023121
+0.0235071
+0.0240737
+0.0247876
+0.0256179
+0.0265944
+0.0277099
+0.0289485
+0.0302951
+0.0317358
+0.0470553
+0.0458894
+0.0447846
+0.0437224
+0.0426356
+0.0415935
+0.0406429
+0.0397436
+0.0389327
+0.0382065
+0.0375805
+0.0370013
+0.0365444
+0.035111
+0.0329875
+0.0308701
+0.028758
+0.0266582
+0.0245742
+0.0225105
+0.0204732
+0.018471
+0.0165152
+0.014564
+0.0126803
+0.010692
+0.00880028
+0.00706482
+0.00554068
+0.00444474
+0.00374779
+0.00345519
+0.00340038
+0.00293429
+0.00309507
+0.00370355
+0.0031728
+0.00314792
+0.00375958
+0.00411306
+0.00452119
+0.00444971
+0.00520496
+0.00650994
+0.00814183
+0.00971326
+0.0109529
+0.012207
+0.0134706
+0.014851
+0.0162956
+0.0178057
+0.0194258
+0.0202006
+0.0182947
+0.0163735
+0.0145287
+0.012791
+0.0111457
+0.0092381
+0.00746856
+0.00578861
+0.00367897
+0.00171632
+0.000428584
+-0.00105515
+-0.00109229
+-0.000642468
+-0.000772703
+0.00021368
+0.00207051
+0.00305808
+0.00418425
+0.00580107
+0.00751796
+0.009416
+0.0114193
+0.0134526
+0.0154576
+0.0174755
+0.0195143
+0.0215768
+0.0236623
+0.0251047
+0.0243444
+0.0236611
+0.0231655
+0.0228563
+0.0227276
+0.0228097
+0.0230254
+0.0233993
+0.0239268
+0.024582
+0.0254097
+0.0263939
+0.0275175
+0.0287411
+0.0300567
+0.0314662
+0.0468493
+0.0457722
+0.044668
+0.0436242
+0.0426662
+0.0417149
+0.0407671
+0.0399172
+0.0391335
+0.038425
+0.0378192
+0.0372626
+0.036809
+0.0352389
+0.033118
+0.0310039
+0.0289011
+0.0268125
+0.0247415
+0.0226931
+0.0206737
+0.0186931
+0.0167604
+0.0148304
+0.0128303
+0.0108616
+0.00899617
+0.00727869
+0.00580091
+0.00475413
+0.00411485
+0.00387685
+0.0036402
+0.00320478
+0.0032033
+0.00358378
+0.00360067
+0.0029026
+0.0030198
+0.00307243
+0.00254095
+0.00241531
+0.00345513
+0.00508795
+0.00679083
+0.00801085
+0.00946126
+0.0108442
+0.0121521
+0.0136421
+0.0152067
+0.0168165
+0.0180947
+0.0186804
+0.0174273
+0.0154666
+0.0134985
+0.0116103
+0.00984831
+0.00823593
+0.00680262
+0.00507382
+0.00356786
+0.00168673
+-6.96152e-05
+-0.00198267
+-0.00171121
+-0.00138171
+-0.00130724
+0.000726479
+0.00227961
+0.00356542
+0.00461928
+0.00621134
+0.00808066
+0.00993838
+0.0118537
+0.0138509
+0.0158992
+0.0179811
+0.0200175
+0.0220553
+0.0241199
+0.0252534
+0.0243995
+0.0237177
+0.0232101
+0.0228746
+0.022746
+0.0227607
+0.0229102
+0.0232448
+0.023729
+0.0243732
+0.025192
+0.026169
+0.02728
+0.0284961
+0.0298225
+0.0312426
+0.046663
+0.0455973
+0.0446137
+0.0436157
+0.0426576
+0.0417837
+0.0409895
+0.0401453
+0.039403
+0.0387204
+0.0381302
+0.0376498
+0.0372009
+0.0354913
+0.0333864
+0.0312904
+0.0292083
+0.0271433
+0.0250997
+0.023083
+0.0211011
+0.0191646
+0.017231
+0.0152689
+0.0133004
+0.011413
+0.00962694
+0.00798938
+0.00664159
+0.00569279
+0.00511391
+0.0050415
+0.00473167
+0.0042937
+0.00413692
+0.00410449
+0.0036189
+0.00299949
+0.00226588
+0.00135211
+0.000609993
+0.0005064
+0.00204249
+0.00381531
+0.00513421
+0.00656276
+0.00811465
+0.00952882
+0.0110448
+0.0126668
+0.0142716
+0.0159946
+0.0166585
+0.0172685
+0.0163464
+0.014449
+0.0126257
+0.0107482
+0.00881546
+0.00703562
+0.00547345
+0.00437493
+0.00256831
+0.000973934
+-0.000382392
+-0.00186842
+-0.00125687
+-0.00098064
+-0.00073683
+0.000622491
+0.00263697
+0.00409766
+0.00530534
+0.00680569
+0.00855327
+0.0104689
+0.0124754
+0.0144729
+0.0164852
+0.018521
+0.0205708
+0.0226211
+0.0246383
+0.0253862
+0.0245279
+0.0237871
+0.0232144
+0.0228383
+0.0226686
+0.0226633
+0.0228142
+0.0231495
+0.0236356
+0.0242822
+0.025104
+0.0260686
+0.0271486
+0.0283405
+0.0296465
+0.0310462
+0.0465791
+0.0455114
+0.044526
+0.0436284
+0.0427294
+0.0418674
+0.041082
+0.0403998
+0.0397384
+0.039097
+0.0385126
+0.0380456
+0.0377002
+0.0358759
+0.033795
+0.031726
+0.0296745
+0.0276444
+0.0256407
+0.0236701
+0.0217346
+0.0198261
+0.0179125
+0.0159694
+0.0140868
+0.0122856
+0.0106161
+0.00915665
+0.00793699
+0.00709081
+0.00662674
+0.00660108
+0.00630708
+0.00579544
+0.00550624
+0.00496362
+0.00397466
+0.00257685
+0.00105042
+-0.000240455
+-0.00121779
+-0.000955155
+0.000831319
+0.00226773
+0.00383659
+0.00547141
+0.00697529
+0.00851035
+0.0101501
+0.0118386
+0.0135358
+0.0148122
+0.0153142
+0.0159173
+0.0154584
+0.013455
+0.01152
+0.00965763
+0.00794357
+0.00622936
+0.00447683
+0.00309174
+0.00215658
+0.000582848
+-0.00144278
+-0.00229569
+-0.0017601
+-0.00163822
+-0.000535579
+0.00130241
+0.00298767
+0.00455686
+0.00608552
+0.00745546
+0.00909834
+0.0109276
+0.0128627
+0.0148689
+0.016921
+0.019004
+0.0210494
+0.0231003
+0.0251747
+0.0255197
+0.0246319
+0.0238596
+0.0232685
+0.0228728
+0.0226766
+0.0226779
+0.0228533
+0.0231521
+0.0235703
+0.0241804
+0.0249684
+0.0259182
+0.0270042
+0.0281797
+0.0294667
+0.0308558
+0.0465628
+0.0455038
+0.0445182
+0.0436205
+0.0428161
+0.0420434
+0.0412834
+0.0406051
+0.0400348
+0.0395125
+0.0390058
+0.0385461
+0.0382053
+0.0363714
+0.0343321
+0.0323046
+0.0302923
+0.0283047
+0.0263316
+0.0243956
+0.0225064
+0.0206622
+0.0187578
+0.0168866
+0.0151016
+0.0134208
+0.0119026
+0.0105767
+0.00952699
+0.00876722
+0.00836758
+0.00834925
+0.00801629
+0.00755063
+0.00700583
+0.0059026
+0.00431579
+0.00234003
+0.00048629
+-0.00134728
+-0.00287234
+-0.00198306
+-0.000372972
+0.00137654
+0.00304645
+0.00466143
+0.00623426
+0.0078849
+0.00960666
+0.0113442
+0.0130733
+0.0136346
+0.0140942
+0.0147651
+0.0147895
+0.0127434
+0.0106802
+0.00867967
+0.00679641
+0.00507501
+0.0037888
+0.00233663
+0.00087301
+-0.000347879
+-0.00180033
+-0.00235684
+-0.00179448
+-0.00109721
+-0.000240123
+0.00177085
+0.00345475
+0.00537905
+0.00692622
+0.00833334
+0.00993786
+0.0117335
+0.0135812
+0.0155062
+0.0174852
+0.0195081
+0.0215637
+0.0236437
+0.0257193
+0.0256777
+0.0247635
+0.0240125
+0.0234184
+0.0230062
+0.0227979
+0.0227926
+0.0229016
+0.0231175
+0.0235271
+0.0240998
+0.0248531
+0.025771
+0.0268259
+0.0279953
+0.0292823
+0.0306718
+0.0466453
+0.0455879
+0.0446042
+0.0437082
+0.0429055
+0.0422013
+0.0415721
+0.0409263
+0.040361
+0.0399077
+0.0395152
+0.0391077
+0.038817
+0.0369821
+0.0349783
+0.0329983
+0.031021
+0.0290672
+0.0271495
+0.0252762
+0.023458
+0.0216187
+0.0197756
+0.0180059
+0.016327
+0.0147826
+0.0133866
+0.0122154
+0.0113187
+0.0106312
+0.0102779
+0.0102626
+0.00989435
+0.00939566
+0.00840506
+0.00661781
+0.00456416
+0.00255546
+0.000469706
+-0.00136797
+-0.00242298
+-0.00189561
+-0.000722517
+0.00101053
+0.00273806
+0.00429856
+0.00591642
+0.00769632
+0.00944272
+0.011164
+0.0122286
+0.0125903
+0.0130952
+0.0138412
+0.0137653
+0.0123193
+0.0101935
+0.00807847
+0.00601671
+0.00409121
+0.00251802
+0.00171589
+0.00064367
+-0.00111506
+-0.00294607
+-0.00273992
+-0.00212927
+-0.00127892
+0.00046434
+0.0025291
+0.00401769
+0.00572345
+0.00761215
+0.00928178
+0.0108297
+0.0125089
+0.0143174
+0.0162203
+0.0181881
+0.0202019
+0.0222262
+0.0242462
+0.0262834
+0.0259698
+0.0250663
+0.024327
+0.0237389
+0.0233323
+0.0230341
+0.0229009
+0.0228974
+0.0230732
+0.0234531
+0.0240276
+0.024783
+0.0257035
+0.026761
+0.0279332
+0.0292228
+0.0306151
+0.0468302
+0.0457768
+0.0447972
+0.0439052
+0.0431061
+0.0424053
+0.04179
+0.0412733
+0.0407854
+0.040354
+0.0400208
+0.0397269
+0.0394435
+0.0377103
+0.0357474
+0.033803
+0.0318692
+0.0299706
+0.0281146
+0.026309
+0.0245373
+0.0227197
+0.0209633
+0.019293
+0.0177363
+0.0162993
+0.0150388
+0.0139884
+0.0131823
+0.0125784
+0.0122777
+0.0122649
+0.0118744
+0.0109812
+0.00920873
+0.00726921
+0.00532027
+0.00341299
+0.00168842
+0.000400368
+-0.000639296
+-0.00103023
+0.000218562
+0.00144635
+0.00290712
+0.0044201
+0.00609773
+0.007803
+0.00951515
+0.0110609
+0.0114108
+0.011717
+0.0122058
+0.0129621
+0.012903
+0.0113919
+0.00951395
+0.00760274
+0.00584806
+0.00383346
+0.00186226
+0.00033232
+-0.000107256
+-0.00123749
+-0.00301842
+-0.00239117
+-0.00169365
+-0.000634389
+0.0013292
+0.00319163
+0.00496548
+0.00649419
+0.00816131
+0.010028
+0.0116458
+0.0132581
+0.0150177
+0.0168739
+0.0187915
+0.0207596
+0.0227601
+0.0247926
+0.0268221
+0.0263066
+0.0253784
+0.0245926
+0.0239614
+0.0234912
+0.0231265
+0.0229614
+0.0229495
+0.0231248
+0.0235039
+0.0240772
+0.0248311
+0.0257267
+0.0267659
+0.0279383
+0.0292229
+0.0305934
+0.0470894
+0.0460692
+0.045096
+0.04421
+0.0434165
+0.0427208
+0.0421101
+0.0415973
+0.0411948
+0.040847
+0.0405406
+0.0403511
+0.0401679
+0.0385481
+0.0366281
+0.0347215
+0.0328417
+0.0310028
+0.0292061
+0.0274645
+0.0256971
+0.0239563
+0.022295
+0.0207322
+0.0192699
+0.0179508
+0.0168058
+0.0158662
+0.015115
+0.0145918
+0.0143334
+0.0143225
+0.0136438
+0.0120077
+0.0101506
+0.0083064
+0.006444
+0.00477821
+0.0033987
+0.0023093
+0.000831946
+0.000171888
+0.000960509
+0.00205612
+0.00324496
+0.00463944
+0.00609557
+0.00764261
+0.00910729
+0.0106702
+0.0108368
+0.0111238
+0.011602
+0.0123542
+0.0121481
+0.0107606
+0.00881929
+0.00678067
+0.00485446
+0.00319895
+0.0021043
+0.00054832
+-0.00114511
+-0.00257905
+-0.00328086
+-0.00245739
+-0.00147068
+0.00026827
+0.00198604
+0.00397187
+0.00559587
+0.00738914
+0.00917499
+0.0108382
+0.0126275
+0.014235
+0.0158867
+0.0176518
+0.019493
+0.0214002
+0.0233572
+0.0253524
+0.0273774
+0.0266037
+0.0256862
+0.0249149
+0.0242226
+0.0236671
+0.0233007
+0.0231015
+0.0230867
+0.0232611
+0.023638
+0.024208
+0.0249517
+0.0258302
+0.0268591
+0.027999
+0.0292483
+0.030582
+0.0473591
+0.0463758
+0.0454768
+0.0446104
+0.0438242
+0.0431351
+0.0425408
+0.0420332
+0.0416349
+0.041349
+0.0411234
+0.0409365
+0.0408664
+0.0394868
+0.0376056
+0.0357437
+0.0339211
+0.0321406
+0.0304093
+0.0286981
+0.026973
+0.0253201
+0.0237538
+0.0222753
+0.0209163
+0.0197074
+0.0186573
+0.0178155
+0.0171101
+0.0166501
+0.016424
+0.0164086
+0.0149202
+0.0131036
+0.011299
+0.00951831
+0.00787454
+0.00647793
+0.00517852
+0.0039296
+0.00260424
+0.00200452
+0.00232865
+0.00302962
+0.0039439
+0.00519595
+0.00637211
+0.00766606
+0.00907027
+0.01062
+0.0106324
+0.0108764
+0.0113451
+0.0120989
+0.0112599
+0.00979082
+0.00797621
+0.00635851
+0.00434768
+0.00247175
+0.00113331
+0.000182451
+-0.00100031
+-0.0027237
+-0.00279394
+-0.00225989
+-0.000710486
+0.00114015
+0.00284871
+0.00426024
+0.00599655
+0.00780585
+0.00969712
+0.0116676
+0.0134668
+0.0150943
+0.0167431
+0.0185048
+0.0203499
+0.0222357
+0.024085
+0.0258916
+0.0277141
+0.0270153
+0.0260558
+0.0251686
+0.0244388
+0.0238871
+0.0234899
+0.0232919
+0.0232986
+0.0234714
+0.0238449
+0.0243849
+0.0250333
+0.0258374
+0.0267969
+0.0278957
+0.0291182
+0.0304493
+0.0477216
+0.0467507
+0.0458525
+0.0450418
+0.0443224
+0.0436443
+0.0430639
+0.0425769
+0.0421844
+0.0419022
+0.0417235
+0.0416126
+0.0415491
+0.0405172
+0.0386714
+0.0368634
+0.035099
+0.0333818
+0.0317113
+0.0300025
+0.0283569
+0.0267849
+0.0253007
+0.0239154
+0.022655
+0.0215325
+0.0205754
+0.0197828
+0.0191479
+0.0187383
+0.0185378
+0.0178923
+0.0161111
+0.0143365
+0.0126043
+0.0109719
+0.0095569
+0.00817931
+0.00702725
+0.00560688
+0.00450916
+0.00404465
+0.00402937
+0.00436459
+0.00506049
+0.00612814
+0.00712524
+0.00821232
+0.00950093
+0.0108769
+0.0107996
+0.010966
+0.0113931
+0.0121088
+0.0107373
+0.00895746
+0.0070039
+0.00518119
+0.00366777
+0.00253395
+0.000789112
+-0.000751672
+-0.00169023
+-0.00313529
+-0.00239863
+-0.00187548
+-0.000545907
+0.00130094
+0.0031306
+0.00502738
+0.00663233
+0.00818254
+0.00977851
+0.0113913
+0.0128074
+0.0143895
+0.0161106
+0.0179345
+0.0198328
+0.0217072
+0.0234924
+0.0253366
+0.0271403
+0.0273217
+0.0263327
+0.0254549
+0.0247336
+0.0241702
+0.0237769
+0.0235527
+0.0235204
+0.0236544
+0.0239477
+0.0244074
+0.0250405
+0.0258443
+0.0268036
+0.0279022
+0.0291182
+0.0304193
+0.048127
+0.0472057
+0.0463152
+0.0455128
+0.044801
+0.0441692
+0.0436383
+0.0432045
+0.042821
+0.0425471
+0.0423831
+0.042298
+0.0422741
+0.0416238
+0.0398293
+0.0380763
+0.0363708
+0.0347161
+0.03304
+0.0314008
+0.0298277
+0.0283335
+0.0269347
+0.025638
+0.0244608
+0.0234187
+0.0225418
+0.021791
+0.0212162
+0.020842
+0.0206619
+0.0191476
+0.0173954
+0.01569
+0.0140695
+0.0126225
+0.0112331
+0.0100156
+0.00866542
+0.00741403
+0.00652435
+0.0061142
+0.00577998
+0.00598214
+0.00644261
+0.00719532
+0.0080966
+0.00911887
+0.0103409
+0.011322
+0.0112404
+0.0113795
+0.0117917
+0.0123466
+0.0105825
+0.00853049
+0.0064359
+0.00443353
+0.00270627
+0.00162342
+0.000894875
+-0.000275343
+-0.00221344
+-0.00350953
+-0.00287598
+-0.00158383
+0.000362206
+0.00157242
+0.00328152
+0.00490837
+0.0063058
+0.00778089
+0.00932524
+0.0108836
+0.0123624
+0.0139955
+0.0157598
+0.01762
+0.0195323
+0.0212745
+0.0230931
+0.0248646
+0.0266579
+0.0276979
+0.0267012
+0.0258393
+0.0251068
+0.0245228
+0.0240789
+0.0237689
+0.0236585
+0.0237506
+0.0240427
+0.0245204
+0.0251506
+0.0259511
+0.0268777
+0.0279413
+0.029131
+0.0304322
+0.0485561
+0.0476872
+0.0468758
+0.0460831
+0.0453805
+0.0447568
+0.044233
+0.0438125
+0.0434856
+0.0432587
+0.043126
+0.0430496
+0.0430477
+0.042814
+0.0410715
+0.0393738
+0.037727
+0.0360878
+0.0344543
+0.0328809
+0.0313791
+0.0299624
+0.0286433
+0.0274197
+0.0263125
+0.0253466
+0.0245387
+0.0238313
+0.0233069
+0.0229589
+0.0221699
+0.0204661
+0.018776
+0.0171674
+0.0157002
+0.0143054
+0.0130074
+0.0117413
+0.0104252
+0.00934222
+0.00862554
+0.00797862
+0.00763742
+0.00768609
+0.00802869
+0.00853026
+0.00929668
+0.010254
+0.0113375
+0.0120793
+0.0119384
+0.0121042
+0.0124482
+0.0123481
+0.0106761
+0.00853814
+0.00643171
+0.00440811
+0.00256586
+0.000971554
+-0.000136924
+-0.00086434
+-0.00226398
+-0.00248989
+-0.00192314
+-0.000942844
+0.000821269
+0.00259108
+0.00404251
+0.00520883
+0.00644751
+0.00781594
+0.00927698
+0.0107245
+0.0122261
+0.0139048
+0.0157094
+0.017575
+0.0193005
+0.0210618
+0.0227801
+0.0245318
+0.0263479
+0.028069
+0.0270428
+0.0261469
+0.0254088
+0.0248425
+0.0243529
+0.0240464
+0.0239285
+0.0239809
+0.0242321
+0.0246759
+0.0253023
+0.0260912
+0.027016
+0.0280774
+0.0292608
+0.0305348
+0.0490414
+0.0481829
+0.0474101
+0.0467185
+0.0460491
+0.0454425
+0.0449267
+0.0445128
+0.0441911
+0.0439678
+0.043853
+0.0438475
+0.0438661
+0.0439735
+0.0423905
+0.0407479
+0.0391428
+0.0375152
+0.0359418
+0.0344341
+0.0330031
+0.0316591
+0.0304059
+0.0292476
+0.0282122
+0.0273135
+0.0265505
+0.0258962
+0.0254145
+0.0248987
+0.0234003
+0.0218655
+0.0202653
+0.0187846
+0.0173856
+0.0160395
+0.0148264
+0.0134592
+0.0122743
+0.011345
+0.0105657
+0.00990126
+0.00955952
+0.00950825
+0.00973262
+0.0100991
+0.0107754
+0.0115126
+0.0124546
+0.0130331
+0.0128938
+0.0130146
+0.0132502
+0.0122383
+0.0104546
+0.00872569
+0.00668583
+0.00478134
+0.00317509
+0.00166996
+0.000134549
+-0.00139134
+-0.00280385
+-0.00241676
+-0.00227946
+-0.000846655
+0.00084051
+0.00212862
+0.00356959
+0.00488322
+0.00636235
+0.00795319
+0.0094939
+0.0109743
+0.0124755
+0.0141246
+0.015905
+0.0176068
+0.0191334
+0.0207765
+0.0225131
+0.0242686
+0.0260525
+0.0278943
+0.0273947
+0.0265107
+0.025783
+0.0252251
+0.0247344
+0.0243948
+0.024249
+0.0243007
+0.0245486
+0.0249868
+0.0255862
+0.0263176
+0.0271969
+0.0282145
+0.0293605
+0.0306052
+0.049498
+0.0487286
+0.0479647
+0.0472899
+0.0467082
+0.0461671
+0.0456798
+0.0452933
+0.0449922
+0.044773
+0.0446603
+0.0446549
+0.0447568
+0.0448821
+0.0437795
+0.0421796
+0.0405817
+0.0390085
+0.0374962
+0.0360536
+0.0346894
+0.0334124
+0.0322133
+0.0311224
+0.0301514
+0.0293122
+0.0285869
+0.0279802
+0.027535
+0.0261685
+0.0247336
+0.0233632
+0.0218728
+0.0204688
+0.0190929
+0.0178431
+0.016514
+0.01527
+0.0142198
+0.0133462
+0.0124912
+0.011871
+0.0115384
+0.0114173
+0.0115238
+0.0118222
+0.0122639
+0.0129166
+0.0137675
+0.0142363
+0.0141014
+0.0142072
+0.0133776
+0.0123372
+0.0105931
+0.00852972
+0.00651514
+0.00462447
+0.00307027
+0.00193383
+0.000840358
+-0.00067211
+-0.00173266
+-0.001062
+-0.000606484
+-0.000313542
+0.00146212
+0.00285253
+0.0040005
+0.00521632
+0.00664771
+0.0081251
+0.00973404
+0.0113658
+0.0130379
+0.0145064
+0.0159866
+0.0174172
+0.0189562
+0.0206032
+0.0223119
+0.0240535
+0.0258492
+0.0277017
+0.0278598
+0.0270157
+0.026302
+0.0256335
+0.0251224
+0.0247919
+0.0246486
+0.0246995
+0.0249258
+0.0253023
+0.0258565
+0.0265804
+0.0274513
+0.0284598
+0.0295826
+0.0307834
+0.0500066
+0.0492774
+0.0486117
+0.047946
+0.0473724
+0.0468924
+0.0464787
+0.0460989
+0.0458208
+0.0456463
+0.0455586
+0.0455533
+0.0456533
+0.0458397
+0.0452248
+0.0436527
+0.0420798
+0.0405637
+0.0391115
+0.0377307
+0.0364294
+0.0352018
+0.0340657
+0.033036
+0.0321229
+0.0313366
+0.0306446
+0.0300794
+0.0289913
+0.0275396
+0.0261797
+0.0249233
+0.023553
+0.0221587
+0.0208654
+0.0195824
+0.0182997
+0.0171564
+0.0162123
+0.0152499
+0.0144622
+0.0138672
+0.0134848
+0.0133538
+0.0133814
+0.0135405
+0.0138885
+0.0144817
+0.0152752
+0.0156544
+0.0154735
+0.0146886
+0.0135094
+0.0124214
+0.0106527
+0.00861695
+0.00664724
+0.00481951
+0.0032303
+0.00180501
+0.000228756
+-0.000994218
+-0.00113732
+-0.000401036
+0.000505967
+0.000804597
+0.00226233
+0.00409681
+0.005179
+0.00622535
+0.00741317
+0.0087594
+0.0102762
+0.0118038
+0.0131173
+0.0145038
+0.0159085
+0.017428
+0.0189655
+0.0205878
+0.0222716
+0.0240017
+0.0258009
+0.0276567
+0.0283841
+0.0275319
+0.0267255
+0.0260522
+0.0255488
+0.0252202
+0.0250794
+0.0251295
+0.0253693
+0.025736
+0.0262666
+0.0269398
+0.0277612
+0.0287266
+0.0298046
+0.0309869
+0.0505939
+0.0498733
+0.0492397
+0.0486919
+0.0481272
+0.0476549
+0.0472615
+0.0469671
+0.0467148
+0.0465434
+0.0464748
+0.0465094
+0.0466348
+0.046818
+0.0467182
+0.0451548
+0.0436355
+0.0421754
+0.0407806
+0.0394583
+0.0382077
+0.0370343
+0.0359562
+0.0349822
+0.0341212
+0.033382
+0.0327195
+0.0318652
+0.0303929
+0.0290114
+0.0277236
+0.0265404
+0.0252323
+0.0239071
+0.0226589
+0.0213439
+0.0201407
+0.0191062
+0.0181186
+0.017186
+0.0164403
+0.0158652
+0.015477
+0.0153482
+0.0152402
+0.0153331
+0.0156381
+0.0161905
+0.0168819
+0.0171495
+0.0164301
+0.0151123
+0.0138608
+0.0124733
+0.0105304
+0.00870608
+0.00703308
+0.00550258
+0.00391512
+0.00250365
+0.000733094
+-0.000911991
+-0.000694615
+-0.000223016
+0.00041325
+0.00131769
+0.002525
+0.00444335
+0.00592713
+0.00728987
+0.00860237
+0.00980735
+0.0111662
+0.0122819
+0.0133994
+0.0147482
+0.0161304
+0.0176703
+0.0191822
+0.0207779
+0.0224306
+0.0241493
+0.0259383
+0.0277849
+0.0289836
+0.0281165
+0.0273037
+0.0266439
+0.0261467
+0.0258257
+0.0256881
+0.0257369
+0.0259104
+0.0262238
+0.02671
+0.0273454
+0.028122
+0.0290407
+0.0300453
+0.0311634
+0.0512681
+0.0505572
+0.0499323
+0.0493967
+0.0488802
+0.0484552
+0.0481179
+0.0478288
+0.0476388
+0.0475095
+0.0474422
+0.0474761
+0.0476109
+0.0478384
+0.0481334
+0.0467109
+0.0452439
+0.0438373
+0.0424971
+0.0412273
+0.0400226
+0.0389039
+0.037879
+0.0369558
+0.0361418
+0.0354338
+0.0347777
+0.03329
+0.0318835
+0.0305695
+0.0293496
+0.0282257
+0.0269616
+0.0257098
+0.024395
+0.023155
+0.0220458
+0.0210524
+0.0200163
+0.0191394
+0.0184372
+0.0178741
+0.0175167
+0.0172882
+0.0171558
+0.017214
+0.0174809
+0.0179896
+0.0185848
+0.0184908
+0.0170496
+0.015656
+0.0143387
+0.0126212
+0.0107052
+0.00891664
+0.00728767
+0.0059662
+0.00520467
+0.00373668
+0.00203507
+0.000977858
+0.00129882
+0.00140821
+0.00157876
+0.00210862
+0.00333546
+0.00514196
+0.00679094
+0.00812985
+0.00953241
+0.0107447
+0.0119664
+0.0129001
+0.0140089
+0.0153021
+0.0166402
+0.0181424
+0.0196133
+0.0211379
+0.0227651
+0.0244802
+0.0262584
+0.0280839
+0.0295544
+0.0287045
+0.0279692
+0.0273202
+0.0268349
+0.0265022
+0.0263089
+0.0262855
+0.0264109
+0.0266861
+0.0270955
+0.0276728
+0.0283913
+0.0292408
+0.0302253
+0.0313229
+0.0519206
+0.0512193
+0.0506032
+0.0500755
+0.049632
+0.0492375
+0.0489139
+0.0486868
+0.0485518
+0.0484994
+0.0484827
+0.048516
+0.0486481
+0.0488781
+0.049195
+0.0483161
+0.0468994
+0.045544
+0.0442555
+0.0430263
+0.0418733
+0.0408055
+0.0398296
+0.0389525
+0.0381812
+0.0374997
+0.0362204
+0.0347945
+0.0334513
+0.0321999
+0.0310246
+0.0299635
+0.0287397
+0.0274566
+0.0261888
+0.0250223
+0.0239996
+0.0229112
+0.0219314
+0.0211341
+0.0204322
+0.0199173
+0.019581
+0.0192469
+0.0191118
+0.0191514
+0.0193725
+0.0198226
+0.020373
+0.0192839
+0.0177778
+0.0163382
+0.015063
+0.0131378
+0.0113097
+0.00961672
+0.00809209
+0.00692584
+0.00590733
+0.00448801
+0.00300127
+0.00211202
+0.00228811
+0.00288306
+0.00354334
+0.00391737
+0.00477944
+0.00624294
+0.00793335
+0.00911772
+0.010603
+0.0118278
+0.0128757
+0.0136764
+0.0147245
+0.0159358
+0.0172576
+0.0186915
+0.0201652
+0.0217084
+0.0232958
+0.0249745
+0.0267275
+0.028541
+0.0301947
+0.0293326
+0.0286126
+0.0279971
+0.0275237
+0.027149
+0.0268457
+0.0267193
+0.0267721
+0.0270031
+0.0274078
+0.0279787
+0.0286895
+0.0295304
+0.0305056
+0.0315934
+0.0526369
+0.0519453
+0.0513378
+0.0508177
+0.0503839
+0.0500274
+0.0497649
+0.049546
+0.049419
+0.049381
+0.0494293
+0.0495744
+0.0497488
+0.0499737
+0.0502931
+0.0499659
+0.0485973
+0.0472905
+0.0460426
+0.0448602
+0.0437555
+0.0427347
+0.0418039
+0.0409691
+0.0402365
+0.0391766
+0.0377352
+0.0363687
+0.0350859
+0.0338756
+0.0327604
+0.0317575
+0.0305214
+0.0292361
+0.0280253
+0.0269385
+0.025853
+0.0247963
+0.023894
+0.0231229
+0.022458
+0.0219817
+0.0215614
+0.0212322
+0.021109
+0.02111
+0.0213048
+0.0216963
+0.0213931
+0.019966
+0.0186114
+0.0172415
+0.015423
+0.0136263
+0.0119547
+0.010431
+0.00916655
+0.00820257
+0.00679624
+0.00523391
+0.00399601
+0.00318328
+0.00290674
+0.00349545
+0.00450358
+0.00481212
+0.00563185
+0.0069934
+0.00861825
+0.0104311
+0.0117782
+0.0131639
+0.0139486
+0.0146806
+0.01566
+0.0167948
+0.0180285
+0.0194161
+0.0208537
+0.0223968
+0.0239881
+0.0256216
+0.0273252
+0.0290694
+0.0308706
+0.0299736
+0.0291733
+0.0285191
+0.0280214
+0.0276348
+0.027337
+0.0272128
+0.0272647
+0.0274915
+0.0278892
+0.0284396
+0.0290915
+0.0298902
+0.0308241
+0.031864
+0.0534334
+0.0527522
+0.0521542
+0.0516423
+0.0512155
+0.0508648
+0.0506067
+0.0504424
+0.0503219
+0.0502924
+0.0503582
+0.0505062
+0.050743
+0.0510726
+0.0514519
+0.0516559
+0.0503332
+0.0490691
+0.0478612
+0.0467248
+0.0456653
+0.0446881
+0.0437988
+0.0430028
+0.0421533
+0.0406993
+0.0393138
+0.0380041
+0.0367666
+0.0356073
+0.0345481
+0.0335797
+0.0322805
+0.0310469
+0.0299095
+0.0288179
+0.0277114
+0.0267281
+0.0258927
+0.0251227
+0.0245121
+0.0240171
+0.0235645
+0.0232545
+0.0231236
+0.0231045
+0.0232802
+0.023618
+0.0221398
+0.0207641
+0.0193964
+0.0176461
+0.0157985
+0.01405
+0.0124422
+0.010995
+0.00980354
+0.00869774
+0.00760631
+0.00634322
+0.00529293
+0.00470393
+0.00452873
+0.00494027
+0.00580816
+0.00612106
+0.00685052
+0.00802515
+0.00951551
+0.0112221
+0.0130594
+0.0146109
+0.0150956
+0.0157717
+0.0166685
+0.0177361
+0.0189408
+0.020284
+0.0217048
+0.0232065
+0.024796
+0.0264167
+0.0280465
+0.0297485
+0.0314892
+0.0305718
+0.0297691
+0.029091
+0.0285653
+0.0281626
+0.0278704
+0.0277486
+0.0277994
+0.0279933
+0.0283512
+0.0288332
+0.029445
+0.0302036
+0.0310983
+0.0321178
+0.0543066
+0.0536366
+0.0530485
+0.0525453
+0.0521259
+0.0517814
+0.0515279
+0.0513666
+0.0512984
+0.0512722
+0.0513368
+0.0514946
+0.0517335
+0.0520569
+0.0524699
+0.0529703
+0.0521035
+0.0508738
+0.0497097
+0.0486166
+0.0475992
+0.0466625
+0.0458116
+0.0450456
+0.043682
+0.0422807
+0.0409487
+0.0396889
+0.0384929
+0.0373871
+0.0363798
+0.0353223
+0.0340823
+0.032904
+0.0317786
+0.0306624
+0.0296151
+0.028697
+0.0278772
+0.027152
+0.0265808
+0.0260227
+0.02559
+0.0253048
+0.0251492
+0.0251317
+0.0252806
+0.0245041
+0.0230711
+0.021649
+0.0200738
+0.018209
+0.0164249
+0.0147508
+0.0132284
+0.0119061
+0.0107998
+0.00957581
+0.00807424
+0.00667098
+0.0057101
+0.00541765
+0.00581993
+0.00667821
+0.00728714
+0.00781045
+0.0083946
+0.00940909
+0.0107398
+0.0123016
+0.0140114
+0.0158401
+0.0164012
+0.0170282
+0.0178872
+0.0188858
+0.0200214
+0.0213072
+0.0227138
+0.0241736
+0.0257178
+0.027271
+0.0288837
+0.0305543
+0.0321434
+0.0312105
+0.0303871
+0.0296346
+0.0290283
+0.0285774
+0.0282895
+0.0281695
+0.0281912
+0.028378
+0.028731
+0.0292444
+0.0298743
+0.0306223
+0.0315051
+0.0325119
+0.0552506
+0.0545945
+0.0540169
+0.0535228
+0.0531111
+0.0527731
+0.0525243
+0.0523661
+0.0522992
+0.0523149
+0.0523782
+0.0525329
+0.0527781
+0.0531127
+0.0535182
+0.0540089
+0.0538961
+0.0527078
+0.0515851
+0.0505325
+0.0495545
+0.0486555
+0.04784
+0.0466798
+0.0452653
+0.0439145
+0.0426336
+0.0414092
+0.0402644
+0.0392086
+0.0382492
+0.0371125
+0.035916
+0.0347535
+0.0336023
+0.0325306
+0.031556
+0.0306891
+0.02988
+0.0292046
+0.0285836
+0.028056
+0.0276407
+0.0273631
+0.0272005
+0.0271842
+0.0270051
+0.0255373
+0.0240713
+0.0226609
+0.0207973
+0.0190037
+0.0173017
+0.0157212
+0.0142976
+0.0130812
+0.0119646
+0.0104016
+0.00883187
+0.00756429
+0.00669476
+0.00644013
+0.00678061
+0.00760228
+0.00832294
+0.00902241
+0.0100612
+0.0110312
+0.0122097
+0.0136192
+0.0152089
+0.0169085
+0.017777
+0.0184075
+0.0192272
+0.0201783
+0.0212629
+0.0224637
+0.0237931
+0.0252183
+0.0267006
+0.0282185
+0.0297898
+0.0314259
+0.0327144
+0.0317365
+0.0308832
+0.0301504
+0.0295547
+0.029112
+0.0288295
+0.0287117
+0.0287406
+0.0289238
+0.0292703
+0.0297744
+0.0304173
+0.0310562
+0.0318105
+0.0326944
+0.0562252
+0.0555949
+0.0550447
+0.0545708
+0.0541671
+0.0538357
+0.0535918
+0.0534368
+0.0533712
+0.0533956
+0.0534891
+0.0536406
+0.0538808
+0.0542085
+0.0546222
+0.0551151
+0.0556779
+0.0545681
+0.0534845
+0.05247
+0.0515287
+0.0506648
+0.0496899
+0.0482641
+0.0468974
+0.045595
+0.0443503
+0.0431722
+0.0420754
+0.0410662
+0.0401469
+0.0389416
+0.0377481
+0.036561
+0.0354463
+0.034432
+0.0335086
+0.0326741
+0.0319076
+0.0312228
+0.0305953
+0.0300876
+0.0296815
+0.0294045
+0.0292719
+0.029246
+0.0281172
+0.0266301
+0.0252023
+0.0235061
+0.0217152
+0.020004
+0.0183948
+0.0169168
+0.0156025
+0.0144489
+0.0130285
+0.0114227
+0.0100144
+0.00885899
+0.00810118
+0.00788746
+0.00816693
+0.00890521
+0.00971876
+0.0103648
+0.0112864
+0.0124785
+0.0138102
+0.0151266
+0.0165776
+0.0181771
+0.019095
+0.0198169
+0.0205805
+0.021534
+0.0225893
+0.0237015
+0.024929
+0.0261908
+0.0275301
+0.0289645
+0.0304889
+0.0320905
+0.0333054
+0.0323454
+0.0315087
+0.0307907
+0.0302076
+0.0297747
+0.0294984
+0.0293834
+0.029429
+0.029608
+0.0298873
+0.0303102
+0.0307723
+0.0313808
+0.0321274
+0.0330029
+0.0572589
+0.0566401
+0.0561002
+0.0556413
+0.0552655
+0.0549651
+0.0547262
+0.0545744
+0.0545102
+0.0545341
+0.0546458
+0.0548135
+0.0550486
+0.0553694
+0.0557745
+0.056262
+0.0568166
+0.056452
+0.0554053
+0.0544267
+0.0535198
+0.052663
+0.0512627
+0.0498943
+0.0485735
+0.0473113
+0.0461049
+0.0449728
+0.043921
+0.0429551
+0.04196
+0.0407583
+0.0395402
+0.0383906
+0.0373278
+0.036357
+0.0354782
+0.0346655
+0.0339224
+0.0332116
+0.0326101
+0.0321103
+0.031725
+0.031466
+0.0313583
+0.0307928
+0.0292841
+0.0278331
+0.0262981
+0.0245184
+0.0228072
+0.0211844
+0.0196599
+0.0181322
+0.0167515
+0.0153652
+0.0140656
+0.0126894
+0.0114311
+0.0104181
+0.00978183
+0.00960557
+0.00983635
+0.0104574
+0.0113234
+0.0119556
+0.012771
+0.0138363
+0.0151154
+0.0165015
+0.0180478
+0.0195784
+0.0201448
+0.0207744
+0.0214973
+0.0223082
+0.0232375
+0.0243291
+0.0255142
+0.0267237
+0.0280375
+0.0294472
+0.0309479
+0.0325269
+0.0340205
+0.0330702
+0.0322409
+0.0315423
+0.0309826
+0.0305302
+0.0302302
+0.0300871
+0.03005
+0.0301603
+0.0304013
+0.0307719
+0.0312271
+0.0318269
+0.0325633
+0.0334017
+0.0583566
+0.0577496
+0.0572201
+0.0567702
+0.0563995
+0.0560862
+0.0558522
+0.0557034
+0.0556406
+0.0556639
+0.0557734
+0.0559684
+0.0562482
+0.0565848
+0.0569877
+0.057465
+0.0580153
+0.0583575
+0.0573455
+0.0564005
+0.055526
+0.0542249
+0.052866
+0.0515643
+0.0502889
+0.0490579
+0.0478954
+0.0468067
+0.045797
+0.0448716
+0.0437807
+0.0425363
+0.0413574
+0.0402538
+0.0392413
+0.0383054
+0.0374406
+0.0366456
+0.0359047
+0.0352131
+0.0346402
+0.0341538
+0.033787
+0.0335439
+0.0334344
+0.032018
+0.0304387
+0.0288451
+0.0271279
+0.0253669
+0.0236777
+0.0220751
+0.0205798
+0.0191935
+0.0177952
+0.0163958
+0.0151761
+0.0141388
+0.0130508
+0.0121733
+0.0116335
+0.0114798
+0.0116736
+0.012207
+0.0128927
+0.0134566
+0.0142945
+0.0151927
+0.0163179
+0.0176206
+0.0190795
+0.0206652
+0.0209983
+0.0214945
+0.022194
+0.0230691
+0.023981
+0.0250406
+0.0262074
+0.0274218
+0.0286656
+0.0299595
+0.0308919
+0.0318678
+0.0329557
+0.0338015
+0.0329815
+0.0322884
+0.031704
+0.0312621
+0.0309174
+0.0307172
+0.0306725
+0.0307662
+0.0309129
+0.0312127
+0.0316616
+0.0322533
+0.0329802
+0.0338267
+0.059508
+0.0589119
+0.058392
+0.0579416
+0.0575647
+0.0572578
+0.0570286
+0.0568829
+0.0568213
+0.0568442
+0.0569514
+0.0571424
+0.0574165
+0.0577723
+0.0581986
+0.0586817
+0.059242
+0.0598747
+0.0593032
+0.0583899
+0.0572014
+0.055829
+0.0545101
+0.0532487
+0.0520277
+0.0508388
+0.049718
+0.0486701
+0.0476998
+0.0468109
+0.0455439
+0.0443422
+0.0432037
+0.0421484
+0.0411717
+0.0402627
+0.03941
+0.0386205
+0.0378904
+0.037229
+0.0366768
+0.0362144
+0.0358642
+0.0356262
+0.0346849
+0.03303
+0.0314151
+0.0296347
+0.0278599
+0.0261465
+0.0245084
+0.0229625
+0.0215289
+0.0202078
+0.0189473
+0.0176319
+0.0164967
+0.0154811
+0.0145719
+0.0138885
+0.0134869
+0.0134001
+0.0135478
+0.0138353
+0.0143172
+0.0148677
+0.0156384
+0.0165681
+0.0176235
+0.0188685
+0.0202377
+0.0212898
+0.0212076
+0.0213107
+0.0216182
+0.0221117
+0.0228045
+0.0236437
+0.0246485
+0.0257967
+0.0270505
+0.0283115
+0.0292094
+0.0302396
+0.031384
+0.0326212
+0.0338024
+0.0331204
+0.0324934
+0.0320044
+0.0316598
+0.0314099
+0.0312772
+0.0312978
+0.0314644
+0.031759
+0.0321817
+0.0327357
+0.0334243
+0.0342395
+0.0607086
+0.0601244
+0.059605
+0.0591576
+0.0587885
+0.058488
+0.0582636
+0.058121
+0.0580608
+0.0580831
+0.0581881
+0.0583751
+0.0586433
+0.0589918
+0.0594191
+0.0599168
+0.0604779
+0.0611003
+0.0612766
+0.0601903
+0.058806
+0.0574719
+0.0561916
+0.0549688
+0.0537996
+0.0526507
+0.0515693
+0.0505597
+0.0496264
+0.0485614
+0.0473413
+0.0461731
+0.0450808
+0.044069
+0.0431228
+0.0422142
+0.0413829
+0.0406168
+0.0398906
+0.0392605
+0.0387272
+0.0382896
+0.0379446
+0.037251
+0.0357021
+0.0340716
+0.0322434
+0.0304625
+0.0287365
+0.0270778
+0.0254995
+0.0240176
+0.02264
+0.0213319
+0.0200531
+0.0187568
+0.0175671
+0.0165645
+0.0157706
+0.015226
+0.0149821
+0.0149974
+0.0151789
+0.015449
+0.0159168
+0.0164292
+0.0171501
+0.018085
+0.0181886
+0.0183716
+0.0188096
+0.0193579
+0.0192674
+0.0193808
+0.019718
+0.0202578
+0.0209942
+0.0219018
+0.0229829
+0.0241885
+0.0255214
+0.0266462
+0.0275983
+0.0286864
+0.0298903
+0.0311829
+0.0325669
+0.033783
+0.0331697
+0.032689
+0.0322366
+0.0319286
+0.0317689
+0.0317599
+0.0319016
+0.0321921
+0.032603
+0.0331499
+0.0338301
+0.0346358
+0.0619634
+0.0613798
+0.0608666
+0.0604286
+0.0600672
+0.0597732
+0.0595536
+0.0594141
+0.0593552
+0.0593771
+0.0594797
+0.0596627
+0.0599252
+0.0602663
+0.0606836
+0.0611628
+0.0617156
+0.0623406
+0.0630355
+0.0617949
+0.0604474
+0.0591503
+0.0579071
+0.0567213
+0.0555966
+0.0544904
+0.0534462
+0.0524728
+0.0515741
+0.0503463
+0.0491583
+0.048034
+0.0469851
+0.046004
+0.045057
+0.0441882
+0.0433627
+0.0426078
+0.0419075
+0.0413082
+0.0407921
+0.0403678
+0.0398927
+0.0384244
+0.0367543
+0.0349291
+0.0331482
+0.0314186
+0.0297481
+0.0281491
+0.0266344
+0.0252057
+0.0238602
+0.0225119
+0.0211623
+0.0199059
+0.0187861
+0.0178521
+0.017099
+0.016598
+0.016369
+0.0163829
+0.016687
+0.0171863
+0.0176438
+0.0171241
+0.0165788
+0.0162865
+0.0162399
+0.0164446
+0.0169035
+0.0174871
+0.0173868
+0.0175125
+0.0178845
+0.0184779
+0.0192619
+0.0202473
+0.0213923
+0.0226479
+0.0239809
+0.0250618
+0.0260718
+0.0271964
+0.0284364
+0.0297861
+0.0312313
+0.0327581
+0.0338019
+0.0332205
+0.0327755
+0.0324725
+0.0323155
+0.0323067
+0.032446
+0.0327318
+0.0331431
+0.0336813
+0.034351
+0.0351447
+0.063077
+0.0626823
+0.0621798
+0.0617511
+0.0613919
+0.0610997
+0.0608849
+0.0607484
+0.0606907
+0.0607121
+0.0608125
+0.0609914
+0.0612482
+0.0615819
+0.0619912
+0.0624607
+0.0630022
+0.0636145
+0.0642956
+0.0634346
+0.0621226
+0.0608613
+0.0596538
+0.0585034
+0.0574135
+0.0563552
+0.0553462
+0.0544068
+0.053362
+0.0521567
+0.0510045
+0.0499218
+0.0489097
+0.0479313
+0.0470136
+0.0461531
+0.0453618
+0.0446122
+0.0439411
+0.0433568
+0.0428696
+0.0424393
+0.0411055
+0.0394977
+0.0376781
+0.0358999
+0.0341696
+0.0324944
+0.0308822
+0.029345
+0.0278797
+0.0264994
+0.0251127
+0.0237289
+0.0224024
+0.021217
+0.02017
+0.0192903
+0.0185913
+0.0181316
+0.017917
+0.0179298
+0.0172981
+0.0167874
+0.0161832
+0.0153447
+0.0147336
+0.0144138
+0.0143594
+0.0145906
+0.0150546
+0.0156806
+0.0155688
+0.0157275
+0.0161402
+0.0167795
+0.0176319
+0.0186146
+0.0197348
+0.0210243
+0.0224529
+0.0235463
+0.0245808
+0.0257605
+0.0270664
+0.0284811
+0.0299892
+0.0315761
+0.0332262
+0.0338855
+0.0334494
+0.0331526
+0.0329988
+0.0329901
+0.0331266
+0.0334066
+0.0338097
+0.0343374
+0.0349946
+0.035774
+0.0640584
+0.0636811
+0.0633774
+0.0631167
+0.062756
+0.0624702
+0.0622601
+0.0621267
+0.0620703
+0.0620912
+0.0621893
+0.0623643
+0.0626154
+0.0629419
+0.0633425
+0.0638075
+0.0643376
+0.0649373
+0.0656047
+0.0651067
+0.0638291
+0.0626022
+0.0614289
+0.0603124
+0.0592558
+0.0582427
+0.057267
+0.0563596
+0.0551656
+0.0539892
+0.0528769
+0.0518334
+0.050832
+0.0498715
+0.0489806
+0.0481361
+0.0473609
+0.0466302
+0.0459753
+0.0454168
+0.0449406
+0.0438409
+0.0422902
+0.0404776
+0.038704
+0.0369752
+0.0352977
+0.0336786
+0.0321259
+0.0306337
+0.0292193
+0.0278155
+0.0264096
+0.0250337
+0.0237777
+0.0226496
+0.0216606
+0.0207156
+0.0193269
+0.0180975
+0.0170476
+0.0162244
+0.0156236
+0.0152342
+0.0145859
+0.013661
+0.0129962
+0.012623
+0.0125373
+0.0127952
+0.0133007
+0.0139766
+0.0138511
+0.0140578
+0.0145116
+0.0150588
+0.0158692
+0.0168877
+0.018115
+0.0195023
+0.0209914
+0.0220903
+0.0231899
+0.0244368
+0.0258098
+0.0272897
+0.0288602
+0.0305059
+0.0322108
+0.0339714
+0.0342504
+0.0339606
+0.0338105
+0.033802
+0.0339353
+0.0342086
+0.0346024
+0.0351182
+0.035761
+0.0364295
+0.0650988
+0.0647276
+0.0644287
+0.0642033
+0.064052
+0.0638864
+0.063681
+0.0635506
+0.0634954
+0.0635159
+0.0636118
+0.0637829
+0.0640285
+0.0643477
+0.0647396
+0.0652001
+0.0657189
+0.0663062
+0.0669599
+0.0668088
+0.0655644
+0.0643706
+0.0632301
+0.0621459
+0.0611211
+0.0601507
+0.0592065
+0.058179
+0.0569861
+0.0558476
+0.054773
+0.0537547
+0.0527564
+0.0518315
+0.0509478
+0.0501364
+0.0493667
+0.0486503
+0.048023
+0.0474885
+0.0466215
+0.0451226
+0.0433177
+0.0415499
+0.0398241
+0.038146
+0.0365181
+0.0349391
+0.0334291
+0.031998
+0.0305934
+0.0291708
+0.0277593
+0.0262881
+0.024461
+0.0226985
+0.0210165
+0.0194355
+0.0179514
+0.0166205
+0.0154786
+0.0145671
+0.013926
+0.0135604
+0.0131383
+0.0121032
+0.0113767
+0.0109419
+0.0108486
+0.0111168
+0.011695
+0.0124149
+0.0122848
+0.0123434
+0.012636
+0.0132546
+0.0141464
+0.0152801
+0.0165918
+0.0180551
+0.0196541
+0.0207638
+0.02193
+0.0232446
+0.024684
+0.0262275
+0.0278579
+0.0295595
+0.0313159
+0.0331242
+0.0349762
+0.0348876
+0.0347416
+0.0347333
+0.034863
+0.0350626
+0.0353842
+0.035837
+0.0364162
+0.0370705
+0.0661953
+0.0658303
+0.0655365
+0.0653148
+0.0651661
+0.065077
+0.0650612
+0.0650171
+0.0649632
+0.0649832
+0.0650769
+0.0652442
+0.0654843
+0.0657965
+0.0661798
+0.0666328
+0.0671406
+0.0677155
+0.0683558
+0.0685387
+0.0673263
+0.0661642
+0.0650552
+0.064002
+0.0630073
+0.0620731
+0.061163
+0.0599929
+0.058831
+0.0577289
+0.05669
+0.0556643
+0.0547009
+0.0537909
+0.0529324
+0.0521409
+0.0513728
+0.0506845
+0.0500827
+0.0494399
+0.0479303
+0.0461295
+0.0443542
+0.0426154
+0.04092
+0.0392736
+0.0376827
+0.0361546
+0.0346976
+0.033321
+0.0313288
+0.0293393
+0.0273806
+0.0254467
+0.0235544
+0.0217184
+0.019954
+0.0182821
+0.0167305
+0.0153149
+0.014068
+0.0130583
+0.0123522
+0.0119387
+0.0118554
+0.0106969
+0.00983755
+0.00938036
+0.00933378
+0.009646
+0.0102948
+0.0109894
+0.0106094
+0.010547
+0.0108623
+0.0115667
+0.0125401
+0.0137451
+0.0151667
+0.016755
+0.0184393
+0.0195931
+0.0208249
+0.0222037
+0.0237009
+0.0252993
+0.0269811
+0.0287315
+0.0305373
+0.0323806
+0.0342646
+0.0357367
+0.0355941
+0.0355304
+0.035579
+0.035762
+0.0360774
+0.0365216
+0.0370901
+0.0377773
+0.0673344
+0.0669756
+0.0666868
+0.066469
+0.0663225
+0.0662348
+0.0662192
+0.0662761
+0.0664053
+0.0664903
+0.066582
+0.0667454
+0.0669801
+0.0672854
+0.0676603
+0.0680936
+0.0685906
+0.0691534
+0.0697805
+0.0702943
+0.0691127
+0.0679811
+0.0669022
+0.0658785
+0.0649127
+0.0640034
+0.0630073
+0.0618244
+0.0606975
+0.0596299
+0.0585917
+0.0575939
+0.0566607
+0.0557604
+0.0549328
+0.0541357
+0.0533932
+0.0527313
+0.0521531
+0.0506325
+0.0488255
+0.0470512
+0.0453134
+0.0436164
+0.0419651
+0.0403652
+0.0388222
+0.0369511
+0.0348696
+0.0328024
+0.0307523
+0.0287229
+0.026719
+0.0247468
+0.0228145
+0.0209226
+0.0190848
+0.0173292
+0.0156836
+0.0141714
+0.0128219
+0.0117229
+0.0109379
+0.0105096
+0.0104556
+0.00915827
+0.00819699
+0.00764218
+0.00759541
+0.00805159
+0.00896226
+0.00954032
+0.008971
+0.00888194
+0.00923625
+0.00997079
+0.0110179
+0.0123652
+0.0139104
+0.0155926
+0.0173885
+0.0185698
+0.0198587
+0.0212955
+0.0228522
+0.0245061
+0.0262309
+0.0280147
+0.0298527
+0.0317356
+0.0336557
+0.035607
+0.0364341
+0.0363497
+0.0363972
+0.0365761
+0.0368845
+0.0373191
+0.0378757
+0.0385489
+0.0685218
+0.0681692
+0.0678855
+0.0676716
+0.0675281
+0.0674439
+0.0674286
+0.0674845
+0.0676113
+0.0678087
+0.0680761
+0.0682839
+0.0685134
+0.0688119
+0.0691723
+0.0695927
+0.070079
+0.07063
+0.0712441
+0.0719197
+0.0709217
+0.0698195
+0.0687695
+0.067774
+0.0668355
+0.0659499
+0.0648271
+0.063678
+0.0625846
+0.0615358
+0.0605073
+0.0595413
+0.0586157
+0.0577459
+0.0569331
+0.0561421
+0.0554265
+0.0547892
+0.0533614
+0.051557
+0.0497837
+0.0480448
+0.0463442
+0.0446863
+0.0429564
+0.0408285
+0.0387076
+0.0365949
+0.034492
+0.0324007
+0.0303234
+0.0282632
+0.0262243
+0.0242118
+0.0222331
+0.0202979
+0.0183994
+0.0165711
+0.0148413
+0.0132486
+0.0118349
+0.0106411
+0.00977359
+0.00928465
+0.00925462
+0.00780676
+0.00666641
+0.00600596
+0.00593967
+0.00651928
+0.00757943
+0.00825386
+0.00757412
+0.00741923
+0.00774994
+0.00853187
+0.00973128
+0.0111989
+0.0128627
+0.0146656
+0.0165622
+0.0177452
+0.0190909
+0.0205801
+0.0221713
+0.0238565
+0.0256183
+0.027442
+0.0293159
+0.0312311
+0.0331804
+0.0351582
+0.0371598
+0.0372799
+0.0373262
+0.0375007
+0.0378015
+0.0382257
+0.0387693
+0.0394272
+0.0697578
+0.0694115
+0.0691329
+0.0689228
+0.0687819
+0.0687016
+0.0686866
+0.0687414
+0.0688659
+0.0690598
+0.0693223
+0.0696528
+0.0700503
+0.070371
+0.0707164
+0.0711277
+0.0716036
+0.0721429
+0.0727443
+0.0734061
+0.0727517
+0.0716777
+0.0706553
+0.0696867
+0.0687743
+0.0678384
+0.0666693
+0.0655525
+0.0644908
+0.0634381
+0.0624408
+0.0614945
+0.0605869
+0.0597458
+0.0589258
+0.0581619
+0.0574714
+0.0561286
+0.0543278
+0.0525566
+0.0508182
+0.0491159
+0.0470534
+0.0449059
+0.0427628
+0.0406247
+0.0384926
+0.0363675
+0.0342505
+0.0321435
+0.0300485
+0.0279681
+0.0259059
+0.0238666
+0.0218567
+0.0198832
+0.017939
+0.0160584
+0.0142665
+0.0126014
+0.01112
+0.00985975
+0.00891384
+0.0083737
+0.00832232
+0.0066578
+0.00530262
+0.00448884
+0.00443998
+0.00517501
+0.00642421
+0.00730516
+0.00639894
+0.00608913
+0.00645048
+0.00736248
+0.00870285
+0.010323
+0.0121202
+0.0140223
+0.0158942
+0.0171119
+0.0185096
+0.0200358
+0.0216657
+0.0233874
+0.025182
+0.0270351
+0.0289354
+0.0308743
+0.0328448
+0.0348415
+0.0368604
+0.0383118
+0.0383569
+0.0385267
+0.0388196
+0.0392328
+0.0397625
+0.0404043
+0.0710398
+0.0706998
+0.0704263
+0.0702201
+0.0700818
+0.0700053
+0.0699906
+0.0700444
+0.0701666
+0.0703568
+0.0706145
+0.070939
+0.0713293
+0.0717844
+0.0722939
+0.0726963
+0.073162
+0.0736899
+0.0742787
+0.074927
+0.0746012
+0.0735542
+0.0725582
+0.0716154
+0.0707279
+0.0696699
+0.068532
+0.067446
+0.0663842
+0.0653585
+0.0643869
+0.0634519
+0.0625726
+0.0617393
+0.060932
+0.0601936
+0.0589288
+0.0571323
+0.0553641
+0.0534515
+0.0512912
+0.0491336
+0.046979
+0.0448279
+0.0426809
+0.0405385
+0.0384016
+0.0362711
+0.0341483
+0.0320345
+0.0299318
+0.0278427
+0.0257705
+0.0237146
+0.0216761
+0.0196704
+0.0177085
+0.0158069
+0.0139874
+0.0122848
+0.0107598
+0.00940302
+0.00840588
+0.00787905
+0.00777001
+0.00596139
+0.00437035
+0.00336142
+0.00333188
+0.00425636
+0.00570107
+0.00657343
+0.00554097
+0.00510046
+0.00549853
+0.00655124
+0.00805133
+0.00979036
+0.0116736
+0.0136463
+0.0154938
+0.0167407
+0.018167
+0.0197197
+0.0213737
+0.0231172
+0.0249313
+0.0268017
+0.0287175
+0.0306701
+0.0326529
+0.0346607
+0.0366895
+0.038736
+0.0394598
+0.0396249
+0.0399097
+0.0403118
+0.0407271
+0.0412415
+0.0723655
+0.0720317
+0.0717633
+0.071561
+0.0714253
+0.0713506
+0.0713362
+0.071389
+0.0715089
+0.0716955
+0.0719485
+0.0722669
+0.0726501
+0.0730969
+0.0736063
+0.0741769
+0.0747521
+0.0752689
+0.0758454
+0.0764804
+0.0764687
+0.0754476
+0.074477
+0.0735588
+0.0726786
+0.0715215
+0.0704135
+0.0693435
+0.068292
+0.0672921
+0.0663379
+0.065424
+0.0645716
+0.0637323
+0.0629505
+0.0617574
+0.0599656
+0.0578007
+0.0556361
+0.0534735
+0.0513134
+0.0491559
+0.0470015
+0.0448507
+0.0427038
+0.0405617
+0.0384251
+0.0362949
+0.0341723
+0.0320589
+0.0299567
+0.027868
+0.0257925
+0.0237303
+0.0216929
+0.0196854
+0.0177214
+0.015817
+0.0139966
+0.0122976
+0.0107266
+0.00937743
+0.00837855
+0.00785777
+0.00769798
+0.00583876
+0.00418594
+0.00308033
+0.00303977
+0.00408378
+0.00564402
+0.00627221
+0.00516566
+0.00470253
+0.00510631
+0.00619526
+0.00775616
+0.00956208
+0.0115021
+0.0134918
+0.0153929
+0.0166473
+0.018081
+0.0196355
+0.0212954
+0.0230442
+0.0248631
+0.0267378
+0.0286574
+0.0306134
+0.0325993
+0.0346099
+0.0366411
+0.0386898
+0.0406225
+0.0406917
+0.0408784
+0.0411809
+0.0415841
+0.0420694
+0.0737324
+0.0734049
+0.0731415
+0.072943
+0.0728099
+0.0727366
+0.0727224
+0.0727742
+0.0728918
+0.073075
+0.0733232
+0.0736357
+0.0740118
+0.0744504
+0.0749506
+0.075511
+0.0761304
+0.0768072
+0.0774424
+0.0780644
+0.078353
+0.0773567
+0.0764103
+0.0755156
+0.0745199
+0.0733918
+0.0723125
+0.0712394
+0.0702138
+0.0692393
+0.0682685
+0.0672272
+0.0662419
+0.0653095
+0.0643712
+0.0622038
+0.060038
+0.0578741
+0.0557123
+0.0535528
+0.051396
+0.0492421
+0.0470917
+0.0449451
+0.0428031
+0.0406662
+0.0385353
+0.0364116
+0.0342962
+0.032191
+0.0300979
+0.0280198
+0.0259602
+0.0239107
+0.0218873
+0.0198995
+0.0179589
+0.0160827
+0.0142962
+0.0126361
+0.011102
+0.00979123
+0.00883626
+0.00835697
+0.00812956
+0.00638137
+0.00491455
+0.00395947
+0.00392448
+0.00478204
+0.00625318
+0.00648778
+0.00541605
+0.00504101
+0.00541042
+0.00644821
+0.00796771
+0.00974615
+0.0116657
+0.0136318
+0.0155472
+0.0167901
+0.0182125
+0.0197567
+0.0214072
+0.0231475
+0.0249589
+0.0268269
+0.0287406
+0.0306913
+0.0326724
+0.0346787
+0.0367062
+0.0387514
+0.0408117
+0.0416348
+0.0418169
+0.0420906
+0.0424616
+0.0429336
+0.0751384
+0.0748169
+0.0745586
+0.0743638
+0.0742333
+0.0741614
+0.0741475
+0.0741983
+0.0743137
+0.0744933
+0.0747368
+0.0750434
+0.0754125
+0.0758431
+0.0763341
+0.0768844
+0.0774928
+0.0781579
+0.0788782
+0.0796523
+0.0802528
+0.0792804
+0.0783573
+0.0771719
+0.0758105
+0.0744885
+0.0732083
+0.071972
+0.0707819
+0.0696404
+0.0685499
+0.0675129
+0.0665319
+0.0656036
+0.0645115
+0.0623489
+0.0601884
+0.0580301
+0.0558743
+0.0537213
+0.0515716
+0.0494254
+0.0472833
+0.0451459
+0.0430138
+0.0408879
+0.0387692
+0.036659
+0.0345589
+0.0324706
+0.0303969
+0.0283407
+0.0263049
+0.0242823
+0.0222914
+0.0203417
+0.0184461
+0.0166233
+0.0148992
+0.0132927
+0.0118341
+0.0106141
+0.00974019
+0.00929213
+0.00905898
+0.00747922
+0.00623819
+0.00548247
+0.00545364
+0.00614566
+0.00735292
+0.00727496
+0.00635523
+0.00603791
+0.00640488
+0.00731926
+0.00868773
+0.0103431
+0.0121689
+0.0140833
+0.0160027
+0.0172127
+0.0186029
+0.0201171
+0.0217403
+0.0234559
+0.0252452
+0.0270935
+0.0289895
+0.0309245
+0.0328916
+0.0348853
+0.0369014
+0.0389364
+0.0409874
+0.0426202
+0.0427768
+0.0430444
+0.0434184
+0.0438802
+0.0765812
+0.0762658
+0.0760124
+0.0758214
+0.0756933
+0.0756229
+0.0756092
+0.075659
+0.0757722
+0.0759484
+0.0761872
+0.076488
+0.0768502
+0.0772727
+0.0777547
+0.0782951
+0.0788926
+0.0795459
+0.0802538
+0.0810147
+0.0817683
+0.0803055
+0.0788764
+0.077483
+0.076127
+0.0748107
+0.0735361
+0.0723054
+0.0711209
+0.0699849
+0.0688999
+0.0678682
+0.0668925
+0.0659692
+0.0647257
+0.0625705
+0.0604179
+0.0582681
+0.0561215
+0.0539784
+0.0518392
+0.0497046
+0.0475751
+0.0454514
+0.0433343
+0.041225
+0.0391246
+0.0370346
+0.034957
+0.0328941
+0.0308488
+0.0288249
+0.026817
+0.0248361
+0.0228935
+0.0209997
+0.0191657
+0.0174009
+0.0157435
+0.0142311
+0.0128792
+0.0117681
+0.0109863
+0.0105912
+0.0103009
+0.00894103
+0.00792273
+0.00734581
+0.00731711
+0.00785739
+0.00883373
+0.00855422
+0.00778764
+0.00753278
+0.00783
+0.00864309
+0.00982894
+0.0113186
+0.0130082
+0.0148294
+0.0167261
+0.0178955
+0.0192363
+0.0207043
+0.0222847
+0.0239614
+0.0257155
+0.0275323
+0.0294
+0.0313096
+0.033254
+0.0352272
+0.0372248
+0.039243
+0.0412787
+0.0433296
+0.0438253
+0.0440866
+0.0444518
+0.0449029
+0.0780588
+0.0777494
+0.0775008
+0.0773135
+0.0771879
+0.0771189
+0.0771055
+0.0771543
+0.0772653
+0.0774381
+0.0776723
+0.0779674
+0.0783227
+0.0787374
+0.0792104
+0.0797409
+0.0803277
+0.0809695
+0.081665
+0.0824129
+0.0821203
+0.0806639
+0.0792414
+0.0778544
+0.0765051
+0.0751954
+0.0739274
+0.0727033
+0.0715254
+0.0703959
+0.0693173
+0.068292
+0.0673224
+0.0664051
+0.065013
+0.0628677
+0.0607256
+0.0585871
+0.0564526
+0.0543226
+0.0521976
+0.0500782
+0.0479653
+0.0458596
+0.0437624
+0.0416747
+0.0395981
+0.0375346
+0.0354862
+0.033456
+0.0314472
+0.0294596
+0.0274946
+0.0255662
+0.0236771
+0.0218375
+0.0200686
+0.0183907
+0.016831
+0.0154256
+0.014188
+0.0131876
+0.012495
+0.0121491
+0.0118197
+0.0106555
+0.00976696
+0.00930648
+0.00927586
+0.00972611
+0.0105502
+0.01015
+0.00950966
+0.00930588
+0.00954807
+0.0102254
+0.0112457
+0.0125685
+0.0141092
+0.0158041
+0.0176087
+0.01881
+0.0200899
+0.0214996
+0.0230256
+0.0246519
+0.0263601
+0.0281353
+0.0299655
+0.0318412
+0.0337549
+0.0357005
+0.037673
+0.0396684
+0.0416834
+0.0437153
+0.0449562
+0.0452109
+0.0455671
+0.0460073
+0.0795693
+0.0792659
+0.079022
+0.0788383
+0.0787152
+0.0786474
+0.0786343
+0.0786822
+0.078791
+0.0789605
+0.0791902
+0.0794797
+0.0798282
+0.0802351
+0.0806994
+0.0812202
+0.0817963
+0.0824267
+0.08311
+0.083845
+0.0825291
+0.08108
+0.0796649
+0.0782854
+0.0769437
+0.0756415
+0.0743812
+0.0731647
+0.0719943
+0.0708723
+0.0698011
+0.068783
+0.0678203
+0.0669099
+0.0653726
+0.0632394
+0.0611104
+0.0589858
+0.0568663
+0.0547523
+0.0526447
+0.0505441
+0.0484515
+0.0463679
+0.0442947
+0.0422334
+0.0401857
+0.0381539
+0.0361407
+0.0341494
+0.0321836
+0.0302369
+0.0283175
+0.0264378
+0.0246095
+0.0228452
+0.0211606
+0.0195765
+0.0181193
+0.0168204
+0.0156825
+0.0147836
+0.0141692
+0.0138497
+0.0135242
+0.0124892
+0.0117303
+0.0113498
+0.0113192
+0.0116911
+0.0124138
+0.0119054
+0.0113561
+0.0112129
+0.0114164
+0.0120006
+0.012881
+0.0140507
+0.0154442
+0.0170066
+0.0186955
+0.019918
+0.0211309
+0.0224811
+0.0239446
+0.0255124
+0.0271666
+0.0288922
+0.0306773
+0.032512
+0.0343884
+0.0363
+0.0382416
+0.0402088
+0.042198
+0.0442063
+0.0461634
+0.0464115
+0.0467586
+0.0471876
+0.0811108
+0.0808132
+0.080574
+0.0803939
+0.0802731
+0.0802067
+0.0801938
+0.0802408
+0.0803475
+0.0805137
+0.080739
+0.0810229
+0.0813649
+0.0817641
+0.0822198
+0.0827309
+0.0832966
+0.0839157
+0.084587
+0.0844667
+0.0829936
+0.0815528
+0.080146
+0.078775
+0.0774417
+0.0761481
+0.0748963
+0.0736883
+0.0725264
+0.0714128
+0.0703498
+0.0693397
+0.0683849
+0.0674821
+0.0658031
+0.0636844
+0.0615707
+0.0594626
+0.0573607
+0.0552657
+0.0531784
+0.0510997
+0.0490308
+0.046973
+0.0449277
+0.0428967
+0.0408823
+0.038887
+0.0369138
+0.0349583
+0.0330293
+0.0311291
+0.029266
+0.0274513
+0.0256953
+0.0240109
+0.0224141
+0.0209252
+0.0195686
+0.0183439
+0.0173064
+0.0164962
+0.0159479
+0.0156547
+0.0153516
+0.0144148
+0.0137624
+0.0134396
+0.0134092
+0.0137245
+0.0143531
+0.0137786
+0.0133069
+0.0131854
+0.0133593
+0.0138793
+0.0146619
+0.0156995
+0.0169581
+0.0183923
+0.0199643
+0.0211705
+0.0223154
+0.0236086
+0.0250221
+0.0265263
+0.0281209
+0.0297913
+0.0315255
+0.0333135
+0.0351472
+0.0370196
+0.0389253
+0.0408596
+0.0428186
+0.0447991
+0.0467983
+0.0476825
+0.0480185
+0.0484364
+0.0826817
+0.0823897
+0.0821551
+0.0819785
+0.0818601
+0.0817949
+0.0817823
+0.0818284
+0.081933
+0.082096
+0.0823169
+0.0825954
+0.0829309
+0.0833226
+0.0837698
+0.0842716
+0.084827
+0.085435
+0.0860945
+0.0849772
+0.0835131
+0.0820814
+0.0806838
+0.0793221
+0.0779982
+0.076714
+0.0754715
+0.0742729
+0.0731202
+0.0720158
+0.0709618
+0.0699606
+0.0690144
+0.0681199
+0.0663033
+0.064201
+0.062105
+0.0600156
+0.0579338
+0.0558603
+0.053796
+0.0517422
+0.0497
+0.0476711
+0.0456571
+0.0436601
+0.0416814
+0.0397167
+0.0377767
+0.0358655
+0.0339881
+0.0321441
+0.0303434
+0.0285971
+0.026916
+0.0253129
+0.0238036
+0.0224072
+0.0211246
+0.0199916
+0.0190442
+0.018311
+0.0178187
+0.0175477
+0.0172386
+0.016407
+0.0158369
+0.0155571
+0.015527
+0.0158001
+0.0163519
+0.015734
+0.0153226
+0.0152176
+0.015369
+0.0158231
+0.0165416
+0.0174679
+0.0186072
+0.0199231
+0.0213829
+0.0225666
+0.023644
+0.0248682
+0.0262185
+0.0276766
+0.0292087
+0.0308202
+0.0324996
+0.0342367
+0.0360234
+0.0378526
+0.0397183
+0.0416158
+0.0435407
+0.0454898
+0.0474599
+0.0490145
+0.0493429
+0.0497497
+0.0842802
+0.0839938
+0.0837637
+0.0835904
+0.0834743
+0.0834104
+0.0833981
+0.0834432
+0.0835458
+0.0837057
+0.0839224
+0.0841956
+0.0845247
+0.0849091
+0.085348
+0.0858405
+0.0863859
+0.086983
+0.0870248
+0.0855407
+0.0840865
+0.0826647
+0.0812772
+0.0799256
+0.0786118
+0.0773377
+0.0761055
+0.074917
+0.0737744
+0.0726799
+0.0716357
+0.0706441
+0.0697071
+0.0688217
+0.0668715
+0.0647877
+0.0627112
+0.0606428
+0.0585832
+0.0565335
+0.0544948
+0.0524683
+0.0504556
+0.0484583
+0.0464745
+0.0445055
+0.0425583
+0.0406358
+0.0387418
+0.0368806
+0.0350576
+0.0332725
+0.0315363
+0.0298599
+0.028254
+0.0267313
+0.0253068
+0.0239833
+0.0227819
+0.0217355
+0.0208674
+0.0202005
+0.0197553
+0.0195032
+0.0191878
+0.0184442
+0.017939
+0.0176921
+0.0176626
+0.0179031
+0.0183447
+0.0177445
+0.0173807
+0.0172885
+0.0174224
+0.0178243
+0.0184789
+0.019323
+0.0203588
+0.021568
+0.0229233
+0.0240813
+0.0250938
+0.0262504
+0.0275331
+0.028925
+0.0304111
+0.0319663
+0.0335884
+0.035272
+0.0370088
+0.0387915
+0.0406141
+0.0424716
+0.0443594
+0.046274
+0.048212
+0.0501709
+0.0507252
+0.0511231
+0.0859048
+0.0856239
+0.0853982
+0.0852282
+0.0851143
+0.0850517
+0.0850396
+0.0850838
+0.0851845
+0.0853413
+0.0855538
+0.0858218
+0.0861447
+0.0865219
+0.0869527
+0.0874362
+0.0879716
+0.088558
+0.0876299
+0.0861563
+0.0847126
+0.0833015
+0.0819248
+0.080584
+0.0792812
+0.0780181
+0.0767967
+0.0756191
+0.0744873
+0.0734034
+0.0723697
+0.0713882
+0.0704612
+0.0695774
+0.067506
+0.0654425
+0.0633874
+0.0613418
+0.0593065
+0.0572827
+0.0552716
+0.0532747
+0.0512874
+0.0493159
+0.0473638
+0.0454334
+0.0435276
+0.0416499
+0.0398042
+0.0379951
+0.0362282
+0.0345033
+0.0328322
+0.0312255
+0.0296935
+0.0282485
+0.026895
+0.025643
+0.0245231
+0.0235541
+0.0227555
+0.0221456
+0.0217364
+0.021504
+0.0211842
+0.0205131
+0.0200601
+0.0198365
+0.0198102
+0.0200249
+0.0203321
+0.0197932
+0.0194678
+0.0193857
+0.0195057
+0.0198655
+0.0204548
+0.0212421
+0.0221884
+0.0233029
+0.0245626
+0.0256937
+0.026645
+0.027737
+0.0289539
+0.0302805
+0.0317032
+0.0332095
+0.0347813
+0.0364098
+0.0380947
+0.0398288
+0.0416061
+0.0434211
+0.0452694
+0.047147
+0.0490506
+0.0509772
+0.0521603
+0.052552
+0.0875542
+0.0872785
+0.0870571
+0.0868904
+0.0867787
+0.0867172
+0.0867053
+0.0867488
+0.0868475
+0.0870013
+0.0872098
+0.0874727
+0.0877896
+0.0881597
+0.0885825
+0.0890572
+0.0895829
+0.0897769
+0.0882853
+0.0868228
+0.0853904
+0.0839907
+0.0826254
+0.0812962
+0.080005
+0.0787535
+0.0775437
+0.0763776
+0.0752572
+0.0741846
+0.0731619
+0.0721911
+0.0712741
+0.0702558
+0.0682051
+0.0661633
+0.0641314
+0.0621103
+0.060101
+0.0581036
+0.0561151
+0.0541421
+0.0521866
+0.0502504
+0.048336
+0.0464461
+0.0445836
+0.0427523
+0.0409563
+0.0392004
+0.0374904
+0.0358259
+0.0342195
+0.032681
+0.0312205
+0.0298443
+0.0285536
+0.0273775
+0.0263314
+0.0254315
+0.0246936
+0.0241327
+0.0237512
+0.0235387
+0.0232157
+0.022605
+0.0221947
+0.02199
+0.0219663
+0.0221602
+0.0223575
+0.0218695
+0.0215754
+0.0215015
+0.0216103
+0.0219355
+0.0224707
+0.0232011
+0.0240785
+0.0251092
+0.0262825
+0.0273866
+0.028281
+0.0293121
+0.0304661
+0.0317296
+0.03309
+0.0345359
+0.036057
+0.0376408
+0.0392729
+0.0409572
+0.0426875
+0.0444584
+0.0462652
+0.048104
+0.0499712
+0.0518636
+0.0536465
+0.0540319
+0.0892268
+0.0889563
+0.0887391
+0.0885756
+0.088466
+0.0884057
+0.088394
+0.0884366
+0.0885335
+0.0886843
+0.0888889
+0.0891469
+0.0894578
+0.089821
+0.090236
+0.0907021
+0.0912183
+0.0904698
+0.0889898
+0.087539
+0.0861185
+0.0847309
+0.0833777
+0.0820607
+0.0807817
+0.0795424
+0.0783448
+0.0771908
+0.0760824
+0.0750216
+0.0740104
+0.0730497
+0.0721329
+0.0709954
+0.0689666
+0.0669481
+0.0649408
+0.0629422
+0.060954
+0.0589803
+0.0570223
+0.0550819
+0.0531609
+0.0512616
+0.0493864
+0.0475382
+0.0457203
+0.0439364
+0.0421908
+0.0404885
+0.0388352
+0.0372305
+0.0356873
+0.0342149
+0.0328211
+0.0314999
+0.0302798
+0.0291734
+0.0281941
+0.0273555
+0.0266709
+0.0261525
+0.0257947
+0.0255992
+0.0252738
+0.024714
+0.0243393
+0.0241445
+0.0241229
+0.0242996
+0.0244115
+0.0239662
+0.0236981
+0.0236309
+0.0237304
+0.024027
+0.0245165
+0.0251877
+0.0260141
+0.026971
+0.0280666
+0.0291444
+0.0299864
+0.0309608
+0.0320555
+0.0332586
+0.0345589
+0.0359458
+0.0374096
+0.0389412
+0.0405285
+0.0421693
+0.0438518
+0.0455775
+0.0473416
+0.0491401
+0.0509693
+0.0528261
+0.0547075
+0.0555588
+0.0909199
+0.0906545
+0.0904414
+0.0902809
+0.0901734
+0.0901158
+0.0901043
+0.0901461
+0.0902411
+0.0903891
+0.0905899
+0.090843
+0.0911481
+0.0915047
+0.0919121
+0.0923696
+0.0927064
+0.0912101
+0.0897422
+0.0883038
+0.0868959
+0.0855208
+0.0841804
+0.0828761
+0.0816098
+0.0803833
+0.0791985
+0.0780571
+0.0769611
+0.0759126
+0.0749108
+0.0739522
+0.0730467
+0.0717942
+0.0697885
+0.0677894
+0.0658019
+0.0638276
+0.0618679
+0.0599242
+0.0579981
+0.0560915
+0.0542063
+0.0523449
+0.05051
+0.0487044
+0.0469317
+0.0451956
+0.0435006
+0.0418516
+0.0402544
+0.0387081
+0.0372263
+0.0358172
+0.0344729
+0.0332175
+0.0320629
+0.0310201
+0.0301009
+0.0293169
+0.0286792
+0.0281966
+0.0278548
+0.0276739
+0.0273405
+0.0268266
+0.0264817
+0.0262978
+0.026278
+0.0264403
+0.0264874
+0.0260783
+0.0258322
+0.0257706
+0.0258623
+0.0261347
+0.0265854
+0.0272056
+0.027984
+0.0288783
+0.0299041
+0.0309498
+0.0317439
+0.032666
+0.0337053
+0.0348516
+0.0360945
+0.0374245
+0.0388326
+0.0403102
+0.0418456
+0.0434372
+0.0450791
+0.0467659
+0.0484931
+0.0502504
+0.0520406
+0.0538604
+0.0557069
+0.0571262
+0.0926288
+0.0923683
+0.0921591
+0.0920016
+0.0918961
+0.0918428
+0.091835
+0.091876
+0.0919692
+0.0921145
+0.0923115
+0.0925599
+0.0928594
+0.0932094
+0.0936094
+0.0940587
+0.0934803
+0.0919965
+0.0905414
+0.0891159
+0.087721
+0.0863591
+0.0850319
+0.0837409
+0.0824879
+0.0812746
+0.0801029
+0.0789746
+0.0778916
+0.0768518
+0.0758544
+0.0749079
+0.0740141
+0.0726435
+0.0706566
+0.0686822
+0.0667212
+0.064775
+0.0628449
+0.0609324
+0.0590392
+0.0571673
+0.0553188
+0.0534961
+0.051702
+0.0499396
+0.0482123
+0.046524
+0.0448792
+0.0432828
+0.0417402
+0.0402508
+0.0388279
+0.0374662
+0.036182
+0.0349881
+0.0338937
+0.0329091
+0.0320441
+0.0313088
+0.0307125
+0.0302502
+0.0299302
+0.0297619
+0.029421
+0.0289441
+0.0286247
+0.0284569
+0.0284385
+0.0285886
+0.0285804
+0.0282025
+0.027975
+0.0279181
+0.0280033
+0.0282551
+0.0286725
+0.0292485
+0.0299738
+0.0308234
+0.0317864
+0.0328022
+0.0335525
+0.0344261
+0.0354139
+0.0365065
+0.0376949
+0.0389704
+0.0403245
+0.0417494
+0.0432337
+0.0447759
+0.0463704
+0.048012
+0.0496958
+0.0514179
+0.0531745
+0.0549623
+0.0567734
+0.05861
+0.0943575
+0.0941018
+0.0938965
+0.093742
+0.0936384
+0.0935861
+0.093585
+0.0936253
+0.0937167
+0.0938592
+0.0940526
+0.0942964
+0.0945904
+0.094934
+0.0953268
+0.095768
+0.0942987
+0.092828
+0.0913862
+0.0899741
+0.0885926
+0.0872444
+0.0859308
+0.0846535
+0.0834142
+0.0822147
+0.0810565
+0.0799417
+0.0788667
+0.0778335
+0.0768489
+0.0759148
+0.075033
+0.0735426
+0.0715807
+0.0696325
+0.0676991
+0.0657818
+0.0638821
+0.0620015
+0.060142
+0.0583055
+0.0564943
+0.0547108
+0.0529579
+0.0512387
+0.0495567
+0.0479158
+0.0463204
+0.0447754
+0.0432857
+0.0418513
+0.0404752
+0.0391672
+0.0379407
+0.0368038
+0.0357651
+0.0348334
+0.0340174
+0.0333256
+0.0327577
+0.0323207
+0.032021
+0.0318637
+0.0315165
+0.0310718
+0.0307745
+0.0306204
+0.0306034
+0.0307428
+0.0306871
+0.030336
+0.0301247
+0.0300719
+0.0301514
+0.0303854
+0.0307739
+0.0313113
+0.0319899
+0.0327992
+0.0337061
+0.034694
+0.0354043
+0.0362333
+0.0371731
+0.0382154
+0.0393523
+0.0405756
+0.0418779
+0.0432516
+0.044686
+0.0461798
+0.0477275
+0.0493238
+0.0509644
+0.052645
+0.054362
+0.0561119
+0.0578919
+0.0596992
+0.0961051
+0.0958541
+0.0956525
+0.0955008
+0.0953992
+0.0953478
+0.0953467
+0.0953927
+0.0954825
+0.0956224
+0.0958121
+0.0960515
+0.0963401
+0.0966776
+0.0970632
+0.0966454
+0.0951605
+0.0937034
+0.0922752
+0.0908769
+0.0895094
+0.0881752
+0.0868757
+0.0856125
+0.0843873
+0.0832018
+0.0820576
+0.0809501
+0.0798837
+0.0788639
+0.0778923
+0.0769708
+0.0761013
+0.0744953
+0.0725592
+0.0706379
+0.0687328
+0.0668452
+0.0649766
+0.0631287
+0.0613033
+0.0595027
+0.057729
+0.0559849
+0.0542731
+0.0525969
+0.0509598
+0.0493656
+0.0478186
+0.0463236
+0.044885
+0.0434951
+0.0421669
+0.040913
+0.0397404
+0.0386565
+0.0376689
+0.0367854
+0.0360137
+0.035359
+0.0348169
+0.034406
+0.0341242
+0.0339767
+0.0336241
+0.0332076
+0.0329296
+0.0327875
+0.0327716
+0.0329019
+0.0328048
+0.0324772
+0.0322799
+0.0322306
+0.0323052
+0.0325237
+0.032887
+0.0333904
+0.0340276
+0.0347913
+0.0356569
+0.0366192
+0.0372928
+0.0380807
+0.038976
+0.0399714
+0.0410596
+0.0422335
+0.0434862
+0.0448106
+0.0461967
+0.0476431
+0.0491447
+0.0506965
+0.052294
+0.0539332
+0.0556104
+0.0573222
+0.0590657
+0.0608381
+0.0978706
+0.097624
+0.0974262
+0.0972772
+0.0971775
+0.097127
+0.097126
+0.0971743
+0.0972655
+0.0974029
+0.0975892
+0.0978242
+0.0981076
+0.098439
+0.0988178
+0.0975309
+0.0960598
+0.0946165
+0.0932023
+0.0918187
+0.0904669
+0.0891485
+0.0878649
+0.0866163
+0.0854055
+0.0842343
+0.0830967
+0.0819998
+0.0809473
+0.079941
+0.0789827
+0.0780741
+0.077217
+0.0754996
+0.0735899
+0.0716963
+0.06982
+0.0679626
+0.0661255
+0.0643107
+0.0625199
+0.0607553
+0.0590193
+0.0573144
+0.0556436
+0.0540099
+0.0524169
+0.0508684
+0.0493685
+0.0479219
+0.0465216
+0.0451762
+0.043899
+0.042696
+0.0415737
+0.0405388
+0.0395982
+0.0387587
+0.038027
+0.0374033
+0.0368912
+0.0365037
+0.0362379
+0.036099
+0.0357417
+0.0353502
+0.0350891
+0.0349576
+0.0349427
+0.0350649
+0.0349315
+0.0346246
+0.0344396
+0.0343934
+0.0344637
+0.0346686
+0.0350097
+0.0354829
+0.0360832
+0.0368043
+0.0376342
+0.0385517
+0.0392128
+0.0399629
+0.0408169
+0.0417684
+0.042811
+0.0439382
+0.0451435
+0.0464207
+0.04776
+0.0491605
+0.0506171
+0.052125
+0.0536801
+0.0552782
+0.0569158
+0.0585895
+0.0602963
+0.0620336
+0.0996529
+0.0994108
+0.0992165
+0.0990702
+0.0989723
+0.0989227
+0.0989217
+0.0989692
+0.0990649
+0.0991997
+0.0993827
+0.0996135
+0.0998918
+0.100217
+0.0999365
+0.0984526
+0.0969954
+0.0955662
+0.0941663
+0.092797
+0.0914597
+0.0901558
+0.0888868
+0.0876541
+0.0864594
+0.0853019
+0.0841767
+0.0830941
+0.0820556
+0.0810631
+0.0801182
+0.0792226
+0.078378
+0.0765534
+0.0746706
+0.0728051
+0.0709582
+0.0691314
+0.0673262
+0.0655446
+0.0637885
+0.06206
+0.0603615
+0.0586956
+0.0570652
+0.0554735
+0.0539237
+0.0524197
+0.0509655
+0.0495569
+0.0481967
+0.0468994
+0.0456704
+0.0445153
+0.04344
+0.0424507
+0.0415533
+0.0407541
+0.0400589
+0.0394633
+0.0389783
+0.0386117
+0.0383602
+0.038229
+0.0378676
+0.0374983
+0.0372523
+0.0371301
+0.037116
+0.0372311
+0.0370656
+0.0367771
+0.036603
+0.0365595
+0.036626
+0.0368189
+0.0371402
+0.0375866
+0.0381538
+0.0388365
+0.0396286
+0.0405061
+0.0411598
+0.041875
+0.0426908
+0.0436014
+0.0446012
+0.0456842
+0.0468447
+0.0480767
+0.0493711
+0.0507271
+0.05214
+0.0536051
+0.0551184
+0.0566759
+0.0582743
+0.05991
+0.0615803
+0.0632823
+0.0923441
+0.0908956
+0.0894691
+0.0880719
+0.0867075
+0.0853776
+0.0840836
+0.0827931
+0.0814051
+0.0800531
+0.0787387
+0.0774641
+0.0761955
+0.0749188
+0.0736851
+0.0724539
+0.0712471
+0.0700881
+0.0689791
+0.0679227
+0.0668961
+0.0658244
+0.064807
+0.0638367
+0.0629278
+0.0620532
+0.0611062
+0.0601642
+0.0592588
+0.0584196
+0.0576514
+0.0569572
+0.0562929
+0.0555243
+0.0544743
+0.0534738
+0.0525456
+0.0516904
+0.0509002
+0.0501932
+0.0495731
+0.0490243
+0.0485298
+0.04813
+0.0478248
+0.0476015
+0.0474784
+0.0474562
+0.047535
+0.0477134
+0.0479469
+0.0482662
+0.048682
+0.049192
+0.0497882
+0.0504701
+0.0512367
+0.0520843
+0.0524302
+0.051647
+0.050946
+0.0503307
+0.0498029
+0.0493646
+0.0490204
+0.0487722
+0.0486216
+0.0485694
+0.0485863
+0.0485402
+0.0484785
+0.0485158
+0.0486518
+0.0488856
+0.049216
+0.0492145
+0.0492107
+0.0492987
+0.0494705
+0.0497383
+0.0495975
+0.0494591
+0.0494005
+0.0494379
+0.0495722
+0.0498025
+0.0501277
+0.0505457
+0.0510545
+0.0516512
+0.0523328
+0.0530962
+0.0539378
+0.054854
+0.0558412
+0.0568956
+0.0580137
+0.0591917
+0.0604262
+0.0617138
+0.0908812
+0.0894091
+0.0879664
+0.0865453
+0.0851564
+0.0838019
+0.0824832
+0.0812023
+0.0798814
+0.0785031
+0.0771624
+0.0758613
+0.0746018
+0.0733236
+0.0720626
+0.070847
+0.0696199
+0.0684333
+0.0672971
+0.0662139
+0.0651864
+0.064133
+0.0630884
+0.0620913
+0.0611564
+0.0602867
+0.0593902
+0.0584205
+0.0575002
+0.0566349
+0.0558422
+0.0551252
+0.0544687
+0.0538262
+0.0527559
+0.051728
+0.0507679
+0.0498816
+0.0490623
+0.0483285
+0.0476841
+0.0471247
+0.04661
+0.0461936
+0.0458756
+0.0456428
+0.0455144
+0.0454912
+0.0455734
+0.045755
+0.0459852
+0.0463179
+0.0467511
+0.0472819
+0.0478995
+0.048608
+0.0494035
+0.0502819
+0.0504198
+0.0496048
+0.0488745
+0.0482328
+0.0476827
+0.0472247
+0.0468648
+0.0466051
+0.0464475
+0.0463929
+0.0464416
+0.0463536
+0.0462891
+0.0463281
+0.0464705
+0.0467153
+0.0470609
+0.0472244
+0.0472205
+0.0473122
+0.0474912
+0.0476702
+0.0474258
+0.0472813
+0.0472196
+0.0472587
+0.0473991
+0.04764
+0.0479798
+0.0484164
+0.0489472
+0.0495693
+0.0502792
+0.0510733
+0.0519477
+0.0528984
+0.0539214
+0.0550126
+0.0561681
+0.0573841
+0.0586566
+0.0599822
+0.089448
+0.0879519
+0.0864854
+0.0850477
+0.083634
+0.0822543
+0.0809105
+0.0796042
+0.0783375
+0.0769843
+0.0756167
+0.0742885
+0.0730019
+0.0717591
+0.0704709
+0.0692273
+0.0680244
+0.0668094
+0.0656451
+0.0645342
+0.0634795
+0.0624695
+0.0613998
+0.0603749
+0.059413
+0.0585174
+0.0576413
+0.0567078
+0.0557723
+0.0548797
+0.0540613
+0.0533204
+0.0526602
+0.0520084
+0.0510684
+0.0500123
+0.0490173
+0.0481016
+0.0472545
+0.0464921
+0.0458219
+0.0452479
+0.0447152
+0.044281
+0.0439491
+0.0437061
+0.0435719
+0.0435477
+0.0436336
+0.0438046
+0.044045
+0.0443923
+0.0448441
+0.0453948
+0.0460377
+0.0467743
+0.0476005
+0.0485116
+0.048425
+0.0475758
+0.0468139
+0.0461435
+0.0455686
+0.0450897
+0.0447126
+0.0444404
+0.044275
+0.0442177
+0.0442688
+0.0441675
+0.0440997
+0.0441407
+0.0442901
+0.0445469
+0.0449092
+0.0452529
+0.0452487
+0.0453444
+0.0455312
+0.045511
+0.0452549
+0.0451038
+0.0450395
+0.0450805
+0.0452277
+0.0454801
+0.0458359
+0.0462927
+0.0468476
+0.0474972
+0.0482376
+0.0490648
+0.0499743
+0.0509618
+0.0520229
+0.0531532
+0.0543482
+0.055604
+0.0569163
+0.0582815
+0.0880135
+0.0865257
+0.0850346
+0.0835744
+0.0821417
+0.0807366
+0.079367
+0.0780349
+0.0767423
+0.0754911
+0.0741035
+0.0727477
+0.0714333
+0.0701628
+0.068912
+0.0676397
+0.0664154
+0.0652187
+0.0640255
+0.062886
+0.0618031
+0.0607799
+0.0597439
+0.05869
+0.0577001
+0.0567775
+0.0559075
+0.055029
+0.054069
+0.0531569
+0.0523115
+0.0515454
+0.0508622
+0.0502174
+0.0494205
+0.048331
+0.0473006
+0.046351
+0.0454804
+0.0446877
+0.0439901
+0.0433918
+0.0428486
+0.0423953
+0.0420485
+0.0417944
+0.0416541
+0.0416288
+0.0417187
+0.041878
+0.0421294
+0.0424924
+0.0429641
+0.0435361
+0.044206
+0.0449726
+0.0458313
+0.0467769
+0.0464478
+0.0455618
+0.0447657
+0.0440641
+0.0434617
+0.0429603
+0.0425643
+0.0422782
+0.0421044
+0.0420441
+0.0420979
+0.0419818
+0.0419105
+0.0419536
+0.0421108
+0.0423808
+0.0427615
+0.0432499
+0.0432981
+0.0433981
+0.0435931
+0.0433547
+0.0430858
+0.0429272
+0.0428605
+0.0429036
+0.0430583
+0.0433233
+0.0436966
+0.0441756
+0.0447568
+0.0454363
+0.0462097
+0.0470725
+0.0480198
+0.0490467
+0.0501483
+0.0513199
+0.0525566
+0.0538542
+0.0552081
+0.0566145
+0.0865914
+0.0850995
+0.083616
+0.0821306
+0.0806772
+0.0792503
+0.0778546
+0.0764962
+0.0751771
+0.0738994
+0.0726249
+0.0712409
+0.0698982
+0.0685992
+0.0673465
+0.0660867
+0.064833
+0.0636301
+0.0624407
+0.0612717
+0.0601598
+0.0591082
+0.058092
+0.0570374
+0.0560185
+0.0550679
+0.0541893
+0.0533061
+0.0523973
+0.0514696
+0.050596
+0.0498035
+0.0490961
+0.0484512
+0.0478078
+0.046692
+0.0456246
+0.0446394
+0.0437417
+0.0429193
+0.0421924
+0.0415683
+0.0410036
+0.0405296
+0.0401697
+0.0399115
+0.0397645
+0.039738
+0.039812
+0.0399787
+0.0402419
+0.0406217
+0.0411149
+0.0417096
+0.0424083
+0.0432069
+0.0441
+0.0450819
+0.0444906
+0.0435649
+0.0427315
+0.041996
+0.0413635
+0.0408373
+0.0404206
+0.0401192
+0.039936
+0.0398724
+0.0399291
+0.0397967
+0.0397215
+0.039767
+0.0399328
+0.0402174
+0.0406183
+0.0411279
+0.0413714
+0.0414761
+0.0415987
+0.041202
+0.040919
+0.040752
+0.0406829
+0.0407282
+0.0408911
+0.0411701
+0.0415628
+0.0420661
+0.042676
+0.0433881
+0.0441974
+0.0450986
+0.0460865
+0.0471555
+0.0483003
+0.0495156
+0.0507963
+0.0521377
+0.0535351
+0.0549843
+0.0851637
+0.0836852
+0.0821989
+0.0807204
+0.0792412
+0.0777956
+0.0763751
+0.0749899
+0.0736438
+0.0723391
+0.0710779
+0.0697704
+0.0683989
+0.0670708
+0.065789
+0.064556
+0.063287
+0.0620541
+0.0608751
+0.0596942
+0.0585524
+0.0574713
+0.0564547
+0.055414
+0.0543647
+0.0533847
+0.0524779
+0.0516127
+0.0507527
+0.0498095
+0.0489185
+0.0480984
+0.0473641
+0.0467033
+0.0460939
+0.0450955
+0.0439939
+0.0429712
+0.0420379
+0.0411915
+0.0404335
+0.0397819
+0.0391856
+0.0386893
+0.0383121
+0.0380433
+0.0378891
+0.0378584
+0.0379327
+0.0381105
+0.0383866
+0.0387846
+0.039299
+0.0399198
+0.0406493
+0.0414817
+0.0424111
+0.0434312
+0.0425563
+0.0415875
+0.0407137
+0.039941
+0.0392754
+0.038722
+0.0382821
+0.0379639
+0.0377701
+0.0377029
+0.0377629
+0.0376123
+0.0375327
+0.0375808
+0.0377562
+0.0380571
+0.0384805
+0.039012
+0.0394723
+0.039582
+0.0394719
+0.0390536
+0.0387549
+0.0385785
+0.0385066
+0.0385546
+0.0387266
+0.039021
+0.0394351
+0.0399652
+0.0406067
+0.0413544
+0.0422028
+0.0431457
+0.0441773
+0.0452914
+0.0464821
+0.0477437
+0.0490707
+0.0504579
+0.0519006
+0.0533841
+0.0837215
+0.0822809
+0.0807933
+0.0793133
+0.0778404
+0.0763682
+0.0749303
+0.073518
+0.0721445
+0.0708121
+0.0695232
+0.0682803
+0.0669376
+0.06558
+0.0642684
+0.0630057
+0.0617799
+0.0605163
+0.0593067
+0.0581546
+0.0569838
+0.0558724
+0.0548261
+0.0538041
+0.05275
+0.0517394
+0.0508032
+0.0499457
+0.0490684
+0.0481893
+0.047283
+0.046434
+0.0456681
+0.0449817
+0.0443799
+0.0435346
+0.0424136
+0.0413519
+0.0403812
+0.0395081
+0.0387188
+0.0380352
+0.0374075
+0.0368873
+0.0364915
+0.0362048
+0.0360428
+0.0360104
+0.0360886
+0.0362785
+0.0365684
+0.036986
+0.0375221
+0.0381718
+0.038934
+0.0398024
+0.0407701
+0.0416527
+0.0406479
+0.0396325
+0.0387146
+0.0379012
+0.0371991
+0.0366149
+0.03615
+0.0358127
+0.0356073
+0.035536
+0.0355997
+0.0354286
+0.0353441
+0.0353952
+0.0355813
+0.0359005
+0.036349
+0.0369049
+0.0375729
+0.0377201
+0.0373524
+0.0369102
+0.036594
+0.0364071
+0.0363321
+0.036383
+0.0365652
+0.0368769
+0.0373148
+0.0378746
+0.0385509
+0.0393377
+0.0402286
+0.0412167
+0.0422954
+0.0434577
+0.0446973
+0.0460079
+0.0473835
+0.0488187
+0.0502991
+0.0518219
+0.0822577
+0.0808597
+0.0794142
+0.0779172
+0.0764443
+0.0749777
+0.0735135
+0.0720827
+0.0706813
+0.0693208
+0.0680036
+0.0667324
+0.0655098
+0.0641293
+0.0627874
+0.0614943
+0.0602496
+0.0590198
+0.0577789
+0.0565956
+0.0554574
+0.0543148
+0.0532379
+0.0522187
+0.0511781
+0.0501359
+0.0491692
+0.0482826
+0.0474223
+0.0465736
+0.0456783
+0.0448149
+0.0440152
+0.0433026
+0.0426906
+0.0420297
+0.0408896
+0.0397873
+0.0387774
+0.0378676
+0.0370451
+0.0363287
+0.0356718
+0.0351295
+0.0347136
+0.0344076
+0.034237
+0.034203
+0.0342853
+0.0344884
+0.0347932
+0.0352318
+0.0357911
+0.0364716
+0.0372686
+0.0381749
+0.0391828
+0.0396711
+0.0387694
+0.0377034
+0.0367373
+0.0358791
+0.0351367
+0.0345176
+0.0340253
+0.0336668
+0.0334482
+0.0333723
+0.03344
+0.0332459
+0.0331557
+0.0332102
+0.0334086
+0.0337482
+0.034225
+0.0348081
+0.0355156
+0.0358388
+0.0352417
+0.0347727
+0.0344368
+0.0342382
+0.0341597
+0.0342138
+0.0344075
+0.0347385
+0.0352031
+0.0357959
+0.0365107
+0.0373405
+0.0382779
+0.0393151
+0.0404445
+0.0416586
+0.0429501
+0.0443124
+0.045739
+0.0472157
+0.0487364
+0.0503066
+0.0808108
+0.0793993
+0.078016
+0.0765584
+0.0750588
+0.073594
+0.0721345
+0.0706772
+0.0692497
+0.0678628
+0.0665176
+0.0652174
+0.0639658
+0.0627217
+0.061349
+0.0600249
+0.058749
+0.0575201
+0.0562949
+0.0550797
+0.0539263
+0.0528022
+0.0516938
+0.0506559
+0.0496211
+0.0485782
+0.0475799
+0.0466632
+0.0458218
+0.0449589
+0.0441126
+0.0432375
+0.042411
+0.0416709
+0.041029
+0.0404602
+0.0394057
+0.0382841
+0.0372336
+0.036285
+0.0354264
+0.0346766
+0.0339878
+0.0334219
+0.032983
+0.0326584
+0.0324787
+0.0324428
+0.0325295
+0.032747
+0.0330678
+0.0335279
+0.034113
+0.0348263
+0.0356601
+0.0366062
+0.0376562
+0.0377127
+0.0368849
+0.0358045
+0.0347857
+0.0338781
+0.0330908
+0.0324327
+0.0319095
+0.0315269
+0.0312934
+0.0312122
+0.0312847
+0.0310642
+0.0309678
+0.0310261
+0.0312383
+0.0316013
+0.0321041
+0.0327236
+0.0334751
+0.0337756
+0.0331414
+0.0326422
+0.0322842
+0.0320722
+0.0319898
+0.0320475
+0.0322542
+0.0326072
+0.0331016
+0.0337314
+0.034489
+0.0353663
+0.0363546
+0.0374452
+0.0386293
+0.0398986
+0.0412453
+0.042662
+0.0441345
+0.0456527
+0.0472238
+0.0488426
+0.0793969
+0.0779598
+0.0765584
+0.0751867
+0.0737124
+0.0722202
+0.0707644
+0.069311
+0.0678547
+0.0664387
+0.0650657
+0.0637365
+0.0624553
+0.0612257
+0.0599561
+0.0586005
+0.0572928
+0.0560321
+0.0548298
+0.0536094
+0.0524236
+0.0513039
+0.0501959
+0.0491281
+0.048096
+0.047071
+0.04604
+0.045092
+0.0442322
+0.0433781
+0.0425484
+0.0417071
+0.0408596
+0.0400926
+0.0394135
+0.038831
+0.03799
+0.0368335
+0.0357573
+0.0347685
+0.0338721
+0.0330871
+0.0323645
+0.0317697
+0.0313077
+0.0309655
+0.0307759
+0.030738
+0.0308295
+0.0310623
+0.0314004
+0.0318811
+0.0324959
+0.0332439
+0.0341165
+0.0351042
+0.0361977
+0.0357812
+0.0349076
+0.0339407
+0.0328642
+0.031902
+0.0310647
+0.0303626
+0.0298045
+0.0293946
+0.029144
+0.0290568
+0.0291346
+0.0288839
+0.0287802
+0.0288429
+0.0290711
+0.0294608
+0.0299917
+0.0306538
+0.0314549
+0.0317295
+0.0310535
+0.0305202
+0.030137
+0.0299098
+0.0298229
+0.0298848
+0.0301064
+0.0304842
+0.0310125
+0.0316838
+0.0324892
+0.0334191
+0.0344633
+0.0356118
+0.0368548
+0.0381832
+0.0395883
+0.0410557
+0.042571
+0.0441431
+0.045766
+0.0474346
+0.0780188
+0.0765559
+0.0751283
+0.0737382
+0.072373
+0.0708876
+0.0694038
+0.0679582
+0.0665027
+0.0650572
+0.0636544
+0.0622971
+0.0609861
+0.0597262
+0.0585213
+0.0572179
+0.0558816
+0.0545913
+0.0533567
+0.0521759
+0.0509616
+0.0498091
+0.0487279
+0.0476352
+0.0466117
+0.0455793
+0.0445489
+0.0435685
+0.042678
+0.0418524
+0.041023
+0.0401938
+0.0393587
+0.0385682
+0.0378559
+0.0372582
+0.0366487
+0.0354505
+0.0343431
+0.033327
+0.0323915
+0.0315696
+0.0308115
+0.0301861
+0.0296995
+0.0293386
+0.0291384
+0.0290983
+0.029195
+0.0294408
+0.0297972
+0.0303034
+0.0309495
+0.031734
+0.0326469
+0.0336778
+0.0344375
+0.0338284
+0.0329574
+0.0321071
+0.0309784
+0.0299557
+0.0290624
+0.0283108
+0.0277123
+0.0272715
+0.0270012
+0.0269071
+0.026974
+0.0267054
+0.0265931
+0.026661
+0.0269077
+0.0273283
+0.0278914
+0.0286022
+0.0294591
+0.0296995
+0.0289809
+0.0284086
+0.0279966
+0.0277519
+0.0276598
+0.0277265
+0.0279652
+0.0283715
+0.0289384
+0.0296567
+0.0305157
+0.0315038
+0.0326094
+0.0338209
+0.0351274
+0.0365187
+0.0379801
+0.0394919
+0.041065
+0.0426925
+0.0443685
+0.0460878
+0.0766786
+0.0751896
+0.0737356
+0.0723187
+0.0709412
+0.069581
+0.0680865
+0.0666124
+0.0651739
+0.0637212
+0.0622883
+0.0609005
+0.0595609
+0.0582706
+0.0570349
+0.0558578
+0.0545135
+0.0531995
+0.0519342
+0.0507294
+0.0495509
+0.0483673
+0.0472531
+0.0461979
+0.0451419
+0.044132
+0.0431053
+0.0420913
+0.0411689
+0.0403445
+0.0395278
+0.0387105
+0.037925
+0.0371046
+0.0363635
+0.0357407
+0.035218
+0.0341507
+0.0330011
+0.0319559
+0.0309951
+0.0301352
+0.02934
+0.0286826
+0.0281699
+0.0277892
+0.0275777
+0.0275354
+0.0276376
+0.027897
+0.028273
+0.0288059
+0.0294849
+0.0303073
+0.0312619
+0.032337
+0.0323624
+0.0317135
+0.0310393
+0.0301874
+0.0291332
+0.0280455
+0.0270893
+0.0262813
+0.0256356
+0.0251599
+0.0248667
+0.0247645
+0.0248168
+0.0245289
+0.0244067
+0.0244806
+0.024749
+0.0252057
+0.0258061
+0.0265727
+0.0274929
+0.0276317
+0.0269269
+0.0263101
+0.0258646
+0.0255995
+0.0255013
+0.0255737
+0.0258323
+0.0262716
+0.0268829
+0.0276546
+0.0285738
+0.0296268
+0.0307998
+0.0320798
+0.0334543
+0.0349085
+0.0364161
+0.0379902
+0.0396229
+0.0413073
+0.0430373
+0.0448076
+0.0753372
+0.073863
+0.0723824
+0.0709385
+0.0695336
+0.0681702
+0.0668151
+0.0653123
+0.0638461
+0.0624143
+0.0609702
+0.0595517
+0.0581811
+0.0568619
+0.0555951
+0.0543868
+0.0532005
+0.0518532
+0.050565
+0.0493285
+0.0481582
+0.0469835
+0.0458356
+0.0447656
+0.0437324
+0.0427233
+0.0417163
+0.0406785
+0.0397233
+0.0388682
+0.0380876
+0.0372847
+0.0364873
+0.0357154
+0.0349449
+0.0342961
+0.0337507
+0.0329258
+0.0317538
+0.0306661
+0.0296718
+0.0287844
+0.0279629
+0.0272722
+0.0267325
+0.026331
+0.0261078
+0.0260631
+0.026171
+0.0264448
+0.0268411
+0.0274019
+0.0281148
+0.0289762
+0.0299732
+0.0310928
+0.0303035
+0.0296095
+0.0290644
+0.0282511
+0.0273242
+0.0261793
+0.0251522
+0.0242799
+0.0235794
+0.0230632
+0.0227429
+0.0226312
+0.0226661
+0.0223553
+0.0222211
+0.0223023
+0.0225966
+0.0230872
+0.0237398
+0.0245709
+0.0254782
+0.0255793
+0.0248963
+0.0242278
+0.0237433
+0.0234542
+0.0233489
+0.0234279
+0.0237099
+0.0241878
+0.0248504
+0.0256833
+0.0266705
+0.0277957
+0.0290428
+0.0303968
+0.0318417
+0.0333443
+0.0349194
+0.036558
+0.0382519
+0.0399941
+0.0417785
+0.0436
+0.0739967
+0.0725293
+0.0710709
+0.0695998
+0.0681674
+0.0667761
+0.0654286
+0.0640607
+0.0625635
+0.0611046
+0.059688
+0.0582541
+0.0568523
+0.0555015
+0.0542056
+0.0529656
+0.0517887
+0.0505661
+0.0492442
+0.0479859
+0.0467828
+0.0456453
+0.0444809
+0.0433775
+0.0423588
+0.0413521
+0.0403324
+0.03933
+0.0383484
+0.037462
+0.0366851
+0.0358997
+0.0351041
+0.0343958
+0.0336017
+0.0329245
+0.0323653
+0.0318013
+0.0305949
+0.0294828
+0.0284472
+0.0275203
+0.0266643
+0.0259592
+0.0253902
+0.0249671
+0.0247315
+0.0246888
+0.0248079
+0.0251
+0.0255172
+0.0261065
+0.0268538
+0.0277543
+0.0287937
+0.0291349
+0.0282645
+0.0275191
+0.0269317
+0.0263546
+0.0255345
+0.0243573
+0.0232602
+0.022314
+0.0215497
+0.0209857
+0.0206332
+0.0205099
+0.0205238
+0.0201848
+0.0200366
+0.0201267
+0.0204523
+0.0209819
+0.0216979
+0.0226042
+0.0234485
+0.0235407
+0.0228952
+0.0221664
+0.0216358
+0.0213181
+0.0212043
+0.0212913
+0.0216012
+0.0221247
+0.0228472
+0.0237504
+0.0248147
+0.0260202
+0.0273484
+0.028781
+0.0302779
+0.031854
+0.0334993
+0.035204
+0.03696
+0.0387603
+0.040599
+0.0424711
+0.0726271
+0.0712078
+0.0697459
+0.0683052
+0.0668451
+0.0654257
+0.0640498
+0.0627202
+0.0613323
+0.0598434
+0.0583988
+0.0569997
+0.055578
+0.0541955
+0.0528676
+0.0515983
+0.0503895
+0.0492485
+0.047987
+0.0466949
+0.0454714
+0.0443076
+0.0431793
+0.0420577
+0.0410062
+0.040047
+0.0390188
+0.0380435
+0.0370491
+0.0361339
+0.0353279
+0.0345782
+0.0338002
+0.0330639
+0.0323287
+0.0316243
+0.0310587
+0.0306264
+0.0295419
+0.0284046
+0.0273435
+0.0263779
+0.0254835
+0.024745
+0.0241512
+0.023718
+0.0234699
+0.023425
+0.0235486
+0.0238698
+0.0243189
+0.0249365
+0.0257179
+0.0266568
+0.0277256
+0.0271733
+0.0262488
+0.0254455
+0.0248091
+0.0243485
+0.0236231
+0.0225909
+0.0214252
+0.0203941
+0.0195549
+0.0189332
+0.0185422
+0.0184049
+0.0183929
+0.018016
+0.0178537
+0.0179547
+0.0183189
+0.018896
+0.019688
+0.0206826
+0.0214386
+0.0215319
+0.0209321
+0.0201323
+0.0195466
+0.0191944
+0.0190702
+0.0191668
+0.0195105
+0.0200886
+0.0208816
+0.0218662
+0.0230178
+0.0243126
+0.0257287
+0.0272187
+0.0287956
+0.0304485
+0.0321657
+0.0339375
+0.0357558
+0.0376137
+0.0395058
+0.0414273
+0.0712985
+0.0698523
+0.0684456
+0.0669902
+0.0655644
+0.0641216
+0.0627171
+0.0613587
+0.0600495
+0.0586369
+0.0571618
+0.0557338
+0.054355
+0.052948
+0.051588
+0.0502867
+0.0490483
+0.0478753
+0.0467756
+0.0454729
+0.0442158
+0.0430323
+0.0419153
+0.0407963
+0.0397285
+0.0387377
+0.0377867
+0.0367788
+0.0358264
+0.034891
+0.0340555
+0.0333433
+0.0325843
+0.0318214
+0.0311453
+0.0304264
+0.029838
+0.0294
+0.0286162
+0.0274406
+0.026368
+0.0253735
+0.0244424
+0.0236716
+0.0230502
+0.0226127
+0.0223523
+0.0223051
+0.0224329
+0.0227699
+0.0232421
+0.0238937
+0.0247229
+0.0256861
+0.0263917
+0.0252495
+0.0242518
+0.0233934
+0.0226995
+0.0222009
+0.0217644
+0.0209049
+0.019642
+0.0185342
+0.0176066
+0.0169135
+0.0164772
+0.0163225
+0.0162779
+0.0158508
+0.0156729
+0.0157878
+0.0162009
+0.0168368
+0.017721
+0.0188199
+0.0194603
+0.0195622
+0.0190187
+0.0181348
+0.0174823
+0.0170876
+0.0169505
+0.0170592
+0.0174445
+0.0180887
+0.0189655
+0.0200444
+0.0212947
+0.0226881
+0.0241695
+0.0257467
+0.0274084
+0.0291401
+0.03093
+0.0327687
+0.0346483
+0.0365626
+0.0385064
+0.0404754
+0.0700096
+0.0685399
+0.0671057
+0.0657133
+0.0642657
+0.0628544
+0.0614337
+0.0600463
+0.0587078
+0.0574217
+0.0559833
+0.0545244
+0.0531158
+0.0517606
+0.0503712
+0.0490376
+0.0477673
+0.0465647
+0.0454333
+0.0443255
+0.0430349
+0.0418194
+0.040683
+0.0395995
+0.038505
+0.0375066
+0.036591
+0.035604
+0.0346711
+0.0337323
+0.0328675
+0.0321289
+0.0314425
+0.0306851
+0.0300324
+0.0293414
+0.0287328
+0.0282785
+0.0278325
+0.0266223
+0.0255154
+0.0245242
+0.0235595
+0.022759
+0.022112
+0.0216576
+0.0213856
+0.0213362
+0.0214782
+0.0218299
+0.0223117
+0.0229898
+0.0238504
+0.0248575
+0.0246022
+0.0233727
+0.0222911
+0.0213687
+0.0206068
+0.0200563
+0.0196512
+0.0191302
+0.0179464
+0.0167472
+0.0157223
+0.014942
+0.0144492
+0.0142726
+0.0141778
+0.0136937
+0.0134954
+0.0136287
+0.0140902
+0.0148153
+0.0158129
+0.0170354
+0.0175326
+0.0176446
+0.0171574
+0.0161873
+0.0154528
+0.0150048
+0.0148515
+0.0149754
+0.0154129
+0.0161384
+0.0171154
+0.0183037
+0.019665
+0.0211344
+0.0227111
+0.0243828
+0.0261314
+0.0279423
+0.0298043
+0.0317083
+0.0336473
+0.0356154
+0.0376081
+0.0396218
+0.0687537
+0.067265
+0.0658114
+0.0643911
+0.0630148
+0.0615764
+0.0601819
+0.0587862
+0.0574184
+0.0561027
+0.0548431
+0.0533775
+0.0519378
+0.0505521
+0.0492218
+0.0478562
+0.0465537
+0.0453197
+0.0441589
+0.0430757
+0.0419353
+0.0406869
+0.0395206
+0.03844
+0.0373632
+0.0363335
+0.0353951
+0.034509
+0.0335652
+0.032656
+0.0317861
+0.0310219
+0.030386
+0.0296561
+0.0289917
+0.0283642
+0.0277568
+0.0272868
+0.0269574
+0.0259636
+0.0248273
+0.0238287
+0.0228532
+0.0220272
+0.0213581
+0.0208871
+0.0206049
+0.0205537
+0.020701
+0.0210657
+0.0215646
+0.0222654
+0.023153
+0.0241891
+0.0228826
+0.0215552
+0.0203774
+0.0193765
+0.0185367
+0.0179227
+0.0175043
+0.0172505
+0.0163152
+0.0150443
+0.0139279
+0.0130407
+0.0124763
+0.0122714
+0.012081
+0.0115492
+0.0113229
+0.0114814
+0.0120061
+0.0128493
+0.0139879
+0.0153563
+0.0156742
+0.0157219
+0.0153663
+0.0143104
+0.0134739
+0.0129577
+0.0127833
+0.012927
+0.0134313
+0.0142581
+0.0153552
+0.0166694
+0.0181206
+0.0196949
+0.021378
+0.0231462
+0.0249815
+0.0268701
+0.0288015
+0.0307676
+0.0327623
+0.0347805
+0.0368175
+0.0388708
+0.0674526
+0.0660271
+0.0645523
+0.0631134
+0.0617126
+0.0603509
+0.0589274
+0.0575521
+0.0561848
+0.0548396
+0.0535502
+0.0522973
+0.0508271
+0.0494102
+0.0480515
+0.0467477
+0.0454134
+0.0441475
+0.0429561
+0.0418442
+0.0408172
+0.0396381
+0.03844
+0.0373265
+0.0362658
+0.0352576
+0.0342903
+0.0334289
+0.0325425
+0.0316694
+0.0307977
+0.030034
+0.0293877
+0.0287506
+0.0280802
+0.0275262
+0.0268984
+0.0264165
+0.0260927
+0.0254492
+0.0243178
+0.0232973
+0.022339
+0.0214948
+0.0208085
+0.0203245
+0.0200344
+0.0199817
+0.0201332
+0.020508
+0.0210202
+0.0217385
+0.0226468
+0.0227876
+0.0212498
+0.0198134
+0.0185251
+0.0174181
+0.0164978
+0.0158048
+0.0153699
+0.0150801
+0.0146655
+0.0134482
+0.0122386
+0.0112452
+0.0105856
+0.0103432
+0.0100243
+0.00942605
+0.00915904
+0.00935431
+0.00996791
+0.0109689
+0.0122831
+0.0138082
+0.0138956
+0.0138737
+0.013691
+0.0125091
+0.0115715
+0.0109662
+0.0107636
+0.0109339
+0.0115258
+0.0124794
+0.0137195
+0.015141
+0.0167088
+0.0184042
+0.0201952
+0.0220584
+0.0239771
+0.0259389
+0.0279347
+0.0299573
+0.0320008
+0.0340627
+0.0361397
+0.0382294
+0.0661981
+0.064745
+0.0633299
+0.0618759
+0.0604527
+0.0590751
+0.0577288
+0.0563242
+0.0549711
+0.0536361
+0.0523171
+0.0510581
+0.0497879
+0.0483406
+0.046951
+0.0456242
+0.044352
+0.043055
+0.0418325
+0.0406913
+0.0396367
+0.0385984
+0.0374538
+0.03631
+0.0352187
+0.034233
+0.0332931
+0.0324052
+0.0316363
+0.0307378
+0.029932
+0.029149
+0.0284829
+0.0279238
+0.0272985
+0.0267661
+0.0261879
+0.0256927
+0.0253596
+0.025107
+0.0239981
+0.0229635
+0.0219916
+0.0211374
+0.0204548
+0.0199663
+0.0196709
+0.0196172
+0.0197929
+0.0201741
+0.0206945
+0.0214238
+0.0223448
+0.021344
+0.0197107
+0.0181689
+0.0167547
+0.015522
+0.0145033
+0.0137098
+0.0132304
+0.0129166
+0.0127426
+0.0118039
+0.010709
+0.00961419
+0.00883445
+0.00854257
+0.00803882
+0.00734266
+0.00701191
+0.00726513
+0.00801058
+0.00922647
+0.0107394
+0.0124066
+0.0122392
+0.01214
+0.012011
+0.0108205
+0.00978237
+0.009067
+0.00882586
+0.00903278
+0.00974087
+0.0108525
+0.0122204
+0.0137722
+0.0154793
+0.0172957
+0.0191904
+0.0211424
+0.0231371
+0.0251624
+0.0272133
+0.0292845
+0.0313719
+0.0334725
+0.035584
+0.0377045
+0.0649931
+0.0635125
+0.0620739
+0.0606684
+0.0592406
+0.0578355
+0.0564805
+0.055156
+0.0537735
+0.0524461
+0.0511482
+0.0498597
+0.0486354
+0.0473483
+0.0459286
+0.0445715
+0.0432827
+0.0420483
+0.0407956
+0.0396246
+0.0385425
+0.0375464
+0.0365072
+0.0354001
+0.0342798
+0.0332663
+0.0323695
+0.0315009
+0.0307176
+0.0299375
+0.0291514
+0.0283957
+0.0277182
+0.0271936
+0.0266709
+0.0261301
+0.025602
+0.0251105
+0.024788
+0.0246302
+0.0238372
+0.0228069
+0.0218583
+0.0209987
+0.0203115
+0.0198194
+0.0195218
+0.0194677
+0.0196591
+0.0200331
+0.0205755
+0.0213088
+0.0216406
+0.0200284
+0.0182866
+0.0166416
+0.015095
+0.0137139
+0.012565
+0.0116501
+0.0110877
+0.0107641
+0.0106522
+0.00980955
+0.00909847
+0.00811974
+0.00719676
+0.00665049
+0.00619324
+0.0053312
+0.00490347
+0.00521704
+0.00621109
+0.00769416
+0.00942256
+0.0106396
+0.0107663
+0.0105407
+0.0102795
+0.00933304
+0.00810661
+0.00730329
+0.00702088
+0.00729591
+0.00815621
+0.00941404
+0.0109253
+0.0126371
+0.0144786
+0.0164062
+0.0183909
+0.0204168
+0.0224737
+0.0245538
+0.0266516
+0.0287632
+0.0308859
+0.0330174
+0.0351562
+0.0373011
+0.0638407
+0.0623327
+0.0608662
+0.0594443
+0.0580502
+0.0566521
+0.0552681
+0.0539375
+0.0526152
+0.0512822
+0.0499856
+0.0487293
+0.0474732
+0.0462831
+0.0449898
+0.0436034
+0.0422851
+0.0410356
+0.0398514
+0.0386527
+0.0375427
+0.0365304
+0.0355284
+0.0345675
+0.0334582
+0.032419
+0.0314981
+0.0307061
+0.0299228
+0.0292481
+0.028454
+0.0277684
+0.0270924
+0.0265729
+0.0261252
+0.0256407
+0.0251511
+0.0246859
+0.0243735
+0.0242399
+0.023877
+0.0228483
+0.021944
+0.0210879
+0.0204036
+0.0199138
+0.0196177
+0.0195638
+0.0197543
+0.0201265
+0.0206665
+0.020749
+0.0200073
+0.0187927
+0.0170143
+0.0152431
+0.0135857
+0.0120336
+0.0107059
+0.00964823
+0.00896112
+0.00863077
+0.00847745
+0.00791734
+0.00701971
+0.00627149
+0.00519563
+0.00455472
+0.00443063
+0.00341422
+0.00291876
+0.00335024
+0.0047182
+0.00651465
+0.00756756
+0.00900012
+0.00948474
+0.0091413
+0.0087562
+0.00810385
+0.00673335
+0.00574924
+0.0053999
+0.00577819
+0.00683363
+0.00826105
+0.00994899
+0.0118018
+0.0137518
+0.0157651
+0.0178203
+0.0199045
+0.0220093
+0.0241294
+0.0262611
+0.0284018
+0.0305496
+0.0327031
+0.0348612
+0.0370231
+0.0626777
+0.0611999
+0.0597144
+0.0582644
+0.0568619
+0.055481
+0.0541032
+0.0527424
+0.0514389
+0.0501325
+0.04883
+0.0475735
+0.0463492
+0.0451295
+0.0439829
+0.0427259
+0.0413797
+0.0401019
+0.0389019
+0.0377738
+0.0366329
+0.0355904
+0.0346481
+0.033675
+0.0327628
+0.0317007
+0.0307583
+0.0299468
+0.0292501
+0.0285695
+0.027902
+0.0272359
+0.0266119
+0.0260936
+0.0257383
+0.0253198
+0.0248483
+0.0244285
+0.0241135
+0.0239785
+0.0238333
+0.0230984
+0.0222359
+0.0214021
+0.0207282
+0.0202463
+0.0199551
+0.0199022
+0.0200894
+0.02045
+0.0202052
+0.0192897
+0.0184895
+0.0177351
+0.0158515
+0.0140368
+0.0122269
+0.0105365
+0.00899729
+0.0077492
+0.00687483
+0.00651352
+0.0063137
+0.00589939
+0.00503675
+0.00450747
+0.00327616
+0.0025138
+0.00254343
+0.00189945
+0.00129339
+0.00208982
+0.00385513
+0.00453015
+0.00590324
+0.00763495
+0.0084531
+0.00802145
+0.00753688
+0.00693884
+0.00578267
+0.0046866
+0.00430057
+0.00475048
+0.00598983
+0.00757359
+0.00938038
+0.0113235
+0.0133436
+0.0154103
+0.0175072
+0.0196246
+0.0217566
+0.0238991
+0.0260497
+0.0282064
+0.030368
+0.0325335
+0.0347022
+0.0368734
+0.0615162
+0.0600535
+0.0585946
+0.0571442
+0.0557135
+0.0543334
+0.0529669
+0.0516103
+0.0502775
+0.0490064
+0.0477218
+0.0464434
+0.0452312
+0.0440545
+0.0428793
+0.0417858
+0.0405517
+0.0392684
+0.038042
+0.0369051
+0.0358223
+0.0347554
+0.0337971
+0.0328646
+0.0320047
+0.0311204
+0.0301598
+0.0293317
+0.0286476
+0.0280237
+0.0274877
+0.0268381
+0.0262949
+0.0257773
+0.0254352
+0.0251161
+0.0247121
+0.0243662
+0.0240504
+0.023915
+0.0237694
+0.0235486
+0.0227005
+0.0219118
+0.0212471
+0.0207844
+0.0205221
+0.0204706
+0.0206405
+0.020011
+0.0189419
+0.0179795
+0.0171182
+0.0165045
+0.0149077
+0.0129835
+0.0111254
+0.00925755
+0.00752198
+0.00600772
+0.00488089
+0.00440181
+0.00417812
+0.00391657
+0.00308587
+0.0025979
+0.00144445
+0.000578242
+0.000397857
+0.000726933
+0.00121945
+0.00158257
+0.00168615
+0.00280799
+0.00466162
+0.00669969
+0.00780949
+0.00734008
+0.00671466
+0.00609286
+0.00530672
+0.00431957
+0.00399044
+0.00452462
+0.0057805
+0.00742586
+0.00926152
+0.0112253
+0.0132603
+0.0153367
+0.0174408
+0.019564
+0.0217006
+0.023847
+0.0260007
+0.0281602
+0.0303242
+0.0324917
+0.0346622
+0.036835
+0.0603644
+0.05892
+0.057476
+0.0560395
+0.0546288
+0.0532206
+0.0518599
+0.0505178
+0.0491862
+0.0478862
+0.0466528
+0.0453824
+0.0441413
+0.0429758
+0.0418613
+0.0407405
+0.0396848
+0.0384995
+0.0372912
+0.0361307
+0.0350506
+0.0340413
+0.0330622
+0.0321652
+0.031287
+0.0305168
+0.0297112
+0.0288703
+0.0281749
+0.0276076
+0.0270799
+0.0265836
+0.0260718
+0.0256378
+0.0252946
+0.0250619
+0.0247696
+0.0244593
+0.0241624
+0.0240277
+0.0239069
+0.0239271
+0.0233272
+0.0226012
+0.0219655
+0.0215182
+0.0212626
+0.0212129
+0.0201882
+0.0189581
+0.0178461
+0.0168532
+0.0159311
+0.0152698
+0.014241
+0.0122123
+0.0102504
+0.00834943
+0.00639514
+0.00458089
+0.00313268
+0.00236691
+0.00210188
+0.00183011
+0.00104099
+0.000714834
+4.46129e-05
+-0.00131507
+-0.000827297
+0.000177498
+-0.000153296
+-0.000581392
+-0.000178475
+0.00197068
+0.00415881
+0.00634872
+0.00766976
+0.00717211
+0.00647903
+0.00585257
+0.00519166
+0.00470239
+0.0045386
+0.00508933
+0.00627066
+0.00784646
+0.00960903
+0.0115136
+0.0135053
+0.015549
+0.0176279
+0.0197309
+0.0218511
+0.0239841
+0.0261265
+0.0282764
+0.0304321
+0.0325925
+0.0347566
+0.0369239
+0.0591952
+0.0577834
+0.0563728
+0.0549522
+0.0535411
+0.0521688
+0.0507945
+0.049453
+0.0481434
+0.0468417
+0.04558
+0.0443861
+0.0431325
+0.0419418
+0.0408311
+0.0397739
+0.0387156
+0.0377128
+0.0365867
+0.0354569
+0.0343472
+0.0333445
+0.0324588
+0.0315446
+0.0306865
+0.0299228
+0.0292747
+0.0285698
+0.0278669
+0.0272592
+0.026794
+0.0264152
+0.0259898
+0.0256426
+0.025302
+0.0251302
+0.0249764
+0.0247124
+0.0244565
+0.0243178
+0.0242425
+0.0242623
+0.0241369
+0.0234756
+0.0228706
+0.0224414
+0.0221882
+0.0208071
+0.0193765
+0.0180913
+0.0169455
+0.0159372
+0.0149587
+0.0141001
+0.0132194
+0.0118028
+0.00975891
+0.00775575
+0.00587661
+0.00388079
+0.00204118
+0.000802184
+0.000481405
+9.45194e-05
+-0.000945802
+-0.00125576
+-0.00158042
+-0.00274908
+-0.00211991
+-0.00179332
+-0.000856916
+0.000137366
+0.00114005
+0.00260466
+0.004546
+0.0061867
+0.00787642
+0.00753826
+0.00681741
+0.0062464
+0.00577587
+0.00556019
+0.00567612
+0.00624139
+0.0072965
+0.00871006
+0.0103473
+0.0121601
+0.0140807
+0.0160602
+0.0180803
+0.0201361
+0.0222177
+0.0243185
+0.0264339
+0.0285607
+0.0306964
+0.0328394
+0.0349883
+0.037142
+0.0580852
+0.0566457
+0.0552556
+0.0538771
+0.0524901
+0.0511048
+0.0497539
+0.0484424
+0.0471269
+0.0458509
+0.0445892
+0.0433727
+0.0421953
+0.0409918
+0.039862
+0.0388154
+0.0378231
+0.0368391
+0.0358879
+0.0348448
+0.0337714
+0.0327511
+0.0318491
+0.031065
+0.0302254
+0.0294514
+0.0288219
+0.0282947
+0.0276856
+0.027084
+0.0266338
+0.0263051
+0.0260268
+0.0257514
+0.0254601
+0.0253073
+0.0253041
+0.0251406
+0.0249348
+0.0247669
+0.024768
+0.0247607
+0.024836
+0.0244866
+0.0239364
+0.0234733
+0.0218214
+0.0202506
+0.0187865
+0.0174579
+0.0162676
+0.0151984
+0.0138678
+0.0126707
+0.0117209
+0.0109187
+0.00967744
+0.00767962
+0.0057822
+0.00402175
+0.0024445
+0.00124829
+-9.71231e-05
+-0.000660027
+-0.00206967
+-0.0033313
+-0.00362408
+-0.00422883
+-0.00269134
+-0.000890771
+0.000542753
+0.000812759
+0.00135321
+0.00205934
+0.00321186
+0.00488857
+0.00680396
+0.00835249
+0.00770988
+0.00721004
+0.00683674
+0.00680905
+0.00709262
+0.00769995
+0.00864198
+0.00990849
+0.011431
+0.0131059
+0.0149051
+0.0167976
+0.0187551
+0.0207592
+0.02279
+0.0248424
+0.0269167
+0.029008
+0.0311131
+0.0332292
+0.0353544
+0.0374871
+0.0570377
+0.0555711
+0.0541534
+0.0527886
+0.0514372
+0.0500974
+0.0487429
+0.0474136
+0.0461482
+0.0448902
+0.043644
+0.0424435
+0.04128
+0.0401242
+0.0389799
+0.0379214
+0.0369498
+0.0360335
+0.0351278
+0.0341972
+0.033297
+0.0322879
+0.0313725
+0.0305845
+0.0299051
+0.0291359
+0.0285011
+0.0280218
+0.0275527
+0.0270854
+0.0266352
+0.0263554
+0.0261188
+0.0259742
+0.0258038
+0.0256531
+0.0256891
+0.0257476
+0.0255614
+0.0253976
+0.0254104
+0.0253916
+0.0254651
+0.0256166
+0.0247865
+0.0230828
+0.0214623
+0.0198816
+0.0183966
+0.0170508
+0.0156364
+0.0141812
+0.0127731
+0.0114647
+0.0104155
+0.00953413
+0.00892116
+0.00761322
+0.00577021
+0.00407271
+0.00268379
+0.00153513
+-0.000118153
+-0.00132746
+-0.00257628
+-0.00409081
+-0.00535422
+-0.00443171
+-0.00359088
+-0.00246399
+-0.00154091
+-0.0013241
+-0.000689049
+0.000144481
+0.00193354
+0.00406835
+0.00623809
+0.00841638
+0.00901002
+0.00860164
+0.00833292
+0.00833906
+0.00870094
+0.00933355
+0.0102209
+0.0113674
+0.0127402
+0.0142969
+0.0159893
+0.0177666
+0.0196277
+0.0215509
+0.0235209
+0.0255269
+0.027561
+0.0296111
+0.0316761
+0.0337569
+0.0358509
+0.0379557
+0.0560366
+0.0545633
+0.0531188
+0.0517267
+0.0503914
+0.0490717
+0.047766
+0.0464569
+0.0451647
+0.0439438
+0.042746
+0.0415511
+0.0404215
+0.0393203
+0.0381924
+0.0371179
+0.0361329
+0.0352423
+0.0344083
+0.0335688
+0.0327124
+0.0319208
+0.0310218
+0.0302272
+0.0295712
+0.0289694
+0.0283448
+0.0278646
+0.0275489
+0.0271202
+0.0266336
+0.0259798
+0.025463
+0.0251136
+0.0249524
+0.0249569
+0.0251176
+0.0254295
+0.0259116
+0.0261855
+0.0261576
+0.0261911
+0.0262623
+0.0263939
+0.0246066
+0.0228895
+0.0212597
+0.0197072
+0.0181161
+0.0165439
+0.0149202
+0.0133875
+0.0119656
+0.0105694
+0.00940519
+0.00843442
+0.00771844
+0.00695963
+0.00542766
+0.00347532
+0.00168757
+0.000430082
+-0.000997323
+-0.00193925
+-0.00323046
+-0.00477156
+-0.00496671
+-0.00462474
+-0.00442049
+-0.00433108
+-0.00366902
+-0.00347831
+-0.00174286
+0.000118456
+0.00204726
+0.00414285
+0.00617638
+0.00805641
+0.0100629
+0.0102222
+0.0100308
+0.0100754
+0.0104443
+0.0110631
+0.0119351
+0.0129846
+0.0142459
+0.0156731
+0.0172433
+0.0189372
+0.0206964
+0.0225285
+0.0244198
+0.0263574
+0.028332
+0.0303363
+0.0323647
+0.034413
+0.0364724
+0.0385433
+0.055074
+0.0536007
+0.0521556
+0.0507371
+0.0493751
+0.0480743
+0.0467918
+0.0455261
+0.0442678
+0.0430214
+0.0418527
+0.040716
+0.0395814
+0.038538
+0.0374922
+0.0364199
+0.0354163
+0.0345073
+0.0337162
+0.032967
+0.0321859
+0.0314634
+0.0307958
+0.0300233
+0.0293653
+0.0288273
+0.0283122
+0.0277871
+0.0266626
+0.0256761
+0.0248298
+0.02415
+0.0236146
+0.0232459
+0.0230716
+0.0230804
+0.0232417
+0.0235725
+0.0240918
+0.0244635
+0.0243516
+0.0243977
+0.0246252
+0.0250036
+0.024621
+0.022905
+0.0211893
+0.019467
+0.0177964
+0.016111
+0.0144923
+0.0129205
+0.0115057
+0.0100641
+0.0088335
+0.00779183
+0.00695853
+0.00591125
+0.00510539
+0.00359715
+0.00190502
+0.000456983
+-0.000661831
+-0.00190177
+-0.00337793
+-0.00494099
+-0.0050738
+-0.00476318
+-0.00516788
+-0.00524032
+-0.0053197
+-0.00395882
+-0.00206684
+-0.000319377
+0.0014641
+0.00324492
+0.00525606
+0.00733535
+0.00946403
+0.0116158
+0.0118836
+0.0119611
+0.0122843
+0.0128758
+0.0137122
+0.014719
+0.0158722
+0.017201
+0.0186594
+0.0202351
+0.0219167
+0.0236691
+0.0254758
+0.0273387
+0.0292471
+0.0311926
+0.0331687
+0.0351702
+0.0371931
+0.039234
+0.0541543
+0.0526847
+0.0512364
+0.0498243
+0.0484366
+0.0471099
+0.0458496
+0.0446107
+0.043392
+0.0421927
+0.0410004
+0.0398818
+0.0388235
+0.0377591
+0.0367724
+0.0357684
+0.034781
+0.0338823
+0.0330925
+0.0324152
+0.0317319
+0.0310107
+0.0304235
+0.0298956
+0.0293041
+0.0284565
+0.0274704
+0.0262482
+0.0250675
+0.0240006
+0.0230929
+0.0223636
+0.0217983
+0.0214251
+0.0212337
+0.021226
+0.0214067
+0.0217681
+0.0223209
+0.0226733
+0.0225605
+0.0226229
+0.0228494
+0.0232715
+0.0238563
+0.022723
+0.0209717
+0.0193104
+0.0176303
+0.0159695
+0.0143348
+0.0128161
+0.0113884
+0.00997767
+0.00875291
+0.00764785
+0.00670641
+0.00541898
+0.00432274
+0.00335444
+0.00202173
+0.000459705
+-0.000948075
+-0.00240551
+-0.00386911
+-0.00538184
+-0.00525492
+-0.00543949
+-0.00586038
+-0.00582113
+-0.00618275
+-0.00408044
+-0.00196577
+-9.68195e-05
+0.000934945
+0.00287264
+0.00499587
+0.00714989
+0.00932103
+0.0114996
+0.013682
+0.013913
+0.0142147
+0.0147826
+0.0155248
+0.0164774
+0.0175944
+0.0188269
+0.0201951
+0.0216772
+0.0232547
+0.0249252
+0.0266703
+0.0284552
+0.0302933
+0.0321756
+0.0340948
+0.0356919
+0.0372078
+0.0387883
+0.053269
+0.0518043
+0.0503726
+0.048954
+0.0475805
+0.0462293
+0.0449442
+0.0437313
+0.0425435
+0.0413799
+0.0402274
+0.0390996
+0.0380385
+0.0370762
+0.0360673
+0.035166
+0.0342387
+0.03335
+0.0325594
+0.0318999
+0.0313289
+0.0306997
+0.0301096
+0.0291567
+0.027879
+0.0267152
+0.0256622
+0.0247588
+0.023533
+0.0224141
+0.0214392
+0.0206516
+0.02005
+0.0196268
+0.0194201
+0.0194326
+0.0196288
+0.0200243
+0.0206229
+0.0209411
+0.0208377
+0.0209051
+0.0211501
+0.0215996
+0.0222496
+0.0226496
+0.0209152
+0.019249
+0.0176828
+0.0160845
+0.0145102
+0.0130423
+0.0116687
+0.0103182
+0.00913922
+0.00808712
+0.00699308
+0.00560037
+0.00426804
+0.00291344
+0.00172265
+0.000882654
+-0.000351591
+-0.00200738
+-0.00370961
+-0.00458511
+-0.00444893
+-0.00525092
+-0.00598651
+-0.00677578
+-0.0065982
+-0.00450095
+-0.0023251
+-0.000195249
+0.00173817
+0.00382293
+0.00564541
+0.00761793
+0.00968471
+0.0117963
+0.0139323
+0.0159253
+0.0162039
+0.0167182
+0.0174244
+0.0183152
+0.0193393
+0.0205345
+0.0218125
+0.0232082
+0.0247147
+0.0262926
+0.0279532
+0.0295456
+0.0307484
+0.0320501
+0.0334446
+0.034921
+0.0364624
+0.0380618
+0.0523945
+0.0509724
+0.0495366
+0.048149
+0.0467655
+0.0454373
+0.0441292
+0.0428932
+0.0417356
+0.0406076
+0.0395086
+0.0384007
+0.0373464
+0.0363662
+0.0354798
+0.0345632
+0.0337641
+0.0329301
+0.0321548
+0.0314868
+0.0309395
+0.0304678
+0.0290699
+0.0276164
+0.0262638
+0.0250302
+0.0239181
+0.0229461
+0.022105
+0.0209198
+0.0198719
+0.0190195
+0.0183647
+0.0179144
+0.0176877
+0.0177088
+0.0179169
+0.0183765
+0.0190016
+0.0192743
+0.0191858
+0.0192835
+0.0195389
+0.0200194
+0.02072
+0.0215707
+0.021065
+0.0194074
+0.0178651
+0.0164309
+0.0150068
+0.0135926
+0.0120736
+0.0106816
+0.00936101
+0.00810684
+0.00699737
+0.00595803
+0.00486932
+0.00324461
+0.00168617
+0.000304996
+-0.000878894
+-0.00176248
+-0.00262346
+-0.00305501
+-0.00378671
+-0.00488644
+-0.00630919
+-0.00712847
+-0.00685663
+-0.00474224
+-0.00267879
+-0.000727063
+0.00142125
+0.00359828
+0.00578554
+0.00792651
+0.00994711
+0.0120274
+0.0141411
+0.0162752
+0.0182266
+0.0187027
+0.0193555
+0.02019
+0.0211673
+0.0222646
+0.0235153
+0.0248242
+0.0257639
+0.0266267
+0.0276367
+0.0287526
+0.029981
+0.0313146
+0.0327407
+0.0342412
+0.0357411
+0.0373094
+0.0515202
+0.0501145
+0.0487571
+0.0473632
+0.0460128
+0.0446765
+0.0433937
+0.0421524
+0.0409739
+0.039881
+0.0388214
+0.0377869
+0.0367384
+0.035776
+0.0348894
+0.034065
+0.0332539
+0.0325703
+0.0318486
+0.0312223
+0.0306674
+0.0291855
+0.0276985
+0.0261689
+0.0247373
+0.0234234
+0.0222481
+0.0212049
+0.0203394
+0.0195304
+0.01842
+0.017497
+0.0167963
+0.0163162
+0.0160675
+0.016086
+0.0163148
+0.0167272
+0.0173755
+0.0177219
+0.0176084
+0.0177301
+0.0180088
+0.0185289
+0.0192841
+0.0202041
+0.0208607
+0.0191855
+0.0176238
+0.0162032
+0.0149578
+0.013382
+0.0118626
+0.0105283
+0.00911824
+0.00793376
+0.00689556
+0.0055676
+0.00458006
+0.00347548
+0.00228454
+0.00122967
+-0.000232279
+-0.00170187
+-0.00112034
+-0.00198562
+-0.00281223
+-0.0034875
+-0.00482268
+-0.00655947
+-0.00648303
+-0.00441927
+-0.00228527
+-0.000294882
+0.00157214
+0.00349891
+0.00557492
+0.00770641
+0.00986389
+0.0120334
+0.0142094
+0.0163815
+0.0184574
+0.0205542
+0.0213277
+0.0221111
+0.0230404
+0.0234107
+0.0237972
+0.0243376
+0.0250584
+0.0259448
+0.0269658
+0.0281016
+0.0293573
+0.0307102
+0.0320763
+0.03353
+0.0350603
+0.0366578
+0.0507061
+0.0492971
+0.0479263
+0.0466068
+0.0452568
+0.0439746
+0.0426995
+0.0414661
+0.040314
+0.0392058
+0.038188
+0.0371778
+0.036181
+0.0352434
+0.0343831
+0.0335859
+0.0328675
+0.0321756
+0.0316207
+0.0310318
+0.0295881
+0.0279587
+0.0264107
+0.0248206
+0.0233167
+0.0219181
+0.0206572
+0.0195542
+0.0186122
+0.0178817
+0.0171072
+0.0161107
+0.0153624
+0.0148579
+0.0145971
+0.0145325
+0.0147224
+0.0151694
+0.0158813
+0.0162834
+0.0161522
+0.0162685
+0.0166271
+0.0171891
+0.0179967
+0.0189775
+0.0201492
+0.0190137
+0.0174348
+0.0159983
+0.0145336
+0.0129474
+0.0113588
+0.00995273
+0.0085674
+0.00729186
+0.00622427
+0.00500825
+0.00383941
+0.002592
+0.00143119
+0.0004265
+-0.000707904
+-0.000554526
+-0.000965462
+-0.00130297
+-0.000795553
+-0.00195269
+-0.00379624
+-0.00584666
+-0.00589787
+-0.00406084
+-0.00209077
+-0.00046817
+0.00160477
+0.00373802
+0.00577664
+0.00785358
+0.00997929
+0.0121281
+0.0142897
+0.016459
+0.0185694
+0.0206549
+0.0226178
+0.0225492
+0.0226928
+0.0228734
+0.0232294
+0.0237827
+0.0245199
+0.025425
+0.0264526
+0.0275685
+0.0287506
+0.0300461
+0.0314411
+0.0329228
+0.0344296
+0.0359777
+0.0499388
+0.0485255
+0.0471716
+0.0458432
+0.0445612
+0.0432597
+0.0420308
+0.0408433
+0.0396732
+0.038592
+0.0376074
+0.0366739
+0.0357079
+0.0347622
+0.0339317
+0.03318
+0.03249
+0.0319137
+0.0313542
+0.0302985
+0.0285474
+0.026855
+0.0252225
+0.0235697
+0.0219839
+0.0205092
+0.0191666
+0.0179908
+0.0169771
+0.0161818
+0.0156213
+0.014866
+0.0140515
+0.0134883
+0.0131886
+0.0130805
+0.0132912
+0.0137847
+0.0145497
+0.0149881
+0.0148287
+0.014937
+0.015307
+0.0159664
+0.0168347
+0.0179006
+0.0191302
+0.0190822
+0.0175095
+0.0159863
+0.014349
+0.0128326
+0.0112084
+0.00978254
+0.00845536
+0.00709396
+0.00589067
+0.00476773
+0.00337119
+0.00219515
+0.00127472
+8.58805e-05
+2.76544e-05
+0.000575541
+0.000453965
+0.000750097
+1.75863e-05
+-0.00184487
+-0.00373213
+-0.00576528
+-0.0057991
+-0.00388591
+-0.00212165
+-0.000160867
+0.00170841
+0.00376221
+0.00589634
+0.00806085
+0.0102365
+0.0124175
+0.0146013
+0.016787
+0.0189359
+0.020985
+0.0224283
+0.02234
+0.0223387
+0.0224907
+0.0228526
+0.0234148
+0.0241097
+0.0249554
+0.0259275
+0.027004
+0.0282097
+0.029529
+0.0308909
+0.0323117
+0.0337851
+0.0352826
+0.0492571
+0.0478237
+0.0464493
+0.0451349
+0.0438801
+0.0426331
+0.0413968
+0.0402319
+0.0391446
+0.0380484
+0.0370494
+0.0361537
+0.0352671
+0.0344047
+0.0335648
+0.0328498
+0.0322195
+0.0316604
+0.0312229
+0.0294148
+0.0276212
+0.0258889
+0.0241538
+0.0224256
+0.0207848
+0.0192279
+0.0177919
+0.0165187
+0.0154526
+0.0145867
+0.0139131
+0.0135013
+0.01291
+0.012272
+0.0119236
+0.0117883
+0.0119781
+0.0125136
+0.0133205
+0.0138655
+0.0136943
+0.0138004
+0.0141994
+0.014869
+0.0157871
+0.0169296
+0.0182335
+0.0193765
+0.0177388
+0.0159878
+0.0142942
+0.0127529
+0.0113344
+0.00983353
+0.00861357
+0.00722411
+0.00602621
+0.00497162
+0.00366858
+0.00282446
+0.00210134
+0.00182745
+0.00208545
+0.00248462
+0.00248754
+0.00124791
+-0.000827449
+-0.00218636
+-0.00386076
+-0.00562669
+-0.00512528
+-0.00366956
+-0.00189286
+-0.000122854
+0.00164909
+0.00373809
+0.0058877
+0.00805183
+0.0102273
+0.0124081
+0.0145918
+0.0167774
+0.0189642
+0.0211517
+0.022328
+0.0221186
+0.0220561
+0.0222067
+0.0225314
+0.0230222
+0.0237048
+0.0245645
+0.0255152
+0.0265957
+0.0277524
+0.0289467
+0.0302293
+0.0315998
+0.0330511
+0.0345804
+0.0486312
+0.0472131
+0.0458205
+0.0444874
+0.0432182
+0.0420248
+0.0408493
+0.0396784
+0.0385964
+0.0375929
+0.036613
+0.0356819
+0.0348637
+0.0340832
+0.0333261
+0.0326058
+0.0320196
+0.0315354
+0.0305606
+0.0286715
+0.0268283
+0.0250412
+0.023243
+0.0214415
+0.0197189
+0.0180831
+0.0165562
+0.0151802
+0.0140121
+0.0130623
+0.0123387
+0.0118606
+0.0117077
+0.011307
+0.0108427
+0.0106946
+0.010869
+0.0114645
+0.0123177
+0.0129412
+0.0127004
+0.0127956
+0.0132127
+0.0139097
+0.0148756
+0.0160777
+0.017464
+0.0189852
+0.0178298
+0.0161463
+0.0144713
+0.0129511
+0.0116465
+0.0102653
+0.0091216
+0.00790974
+0.00684362
+0.00590671
+0.0048496
+0.00430342
+0.00385327
+0.00396288
+0.00415922
+0.0044134
+0.00303071
+0.000956648
+-0.000727503
+-0.00263418
+-0.00420068
+-0.00484207
+-0.00430718
+-0.00324332
+-0.00143245
+0.000367898
+0.00225239
+0.00427863
+0.00638252
+0.00849972
+0.0105971
+0.012726
+0.0148729
+0.0170309
+0.0191944
+0.021359
+0.0221359
+0.0218969
+0.0218337
+0.0219859
+0.0223138
+0.0228093
+0.0234803
+0.0242333
+0.0250667
+0.0259893
+0.0270583
+0.0282569
+0.0295678
+0.0309621
+0.0324067
+0.0339219
+0.0480535
+0.0466298
+0.045267
+0.0439398
+0.0426542
+0.0414447
+0.0403179
+0.0392268
+0.0381283
+0.0371186
+0.0361962
+0.0353398
+0.0345135
+0.0338082
+0.0331139
+0.0324894
+0.0319009
+0.0314544
+0.0300063
+0.02808
+0.0261952
+0.0243616
+0.0224906
+0.0206207
+0.0188202
+0.0171109
+0.0155087
+0.0140294
+0.0127564
+0.0117067
+0.0109022
+0.0103623
+0.0101824
+0.0103883
+0.0100874
+0.00987547
+0.0100614
+0.0106401
+0.0115301
+0.0121441
+0.0118875
+0.0120301
+0.0124249
+0.0131637
+0.0142052
+0.0154776
+0.0169012
+0.0184755
+0.0181782
+0.0165861
+0.0149604
+0.0134955
+0.0122392
+0.011042
+0.00997879
+0.00899844
+0.00816123
+0.00735598
+0.0065179
+0.00614886
+0.00583968
+0.00612437
+0.00630206
+0.00545206
+0.00329639
+0.00120629
+-0.00055721
+-0.00250778
+-0.00447948
+-0.0043284
+-0.0038128
+-0.00285639
+-0.00115719
+0.000758343
+0.00264017
+0.00470653
+0.0068506
+0.00894301
+0.0110249
+0.0131422
+0.0152749
+0.0174202
+0.0195756
+0.021738
+0.0221323
+0.0218931
+0.0218301
+0.0219341
+0.022138
+0.0225417
+0.023068
+0.0236777
+0.0244638
+0.0254083
+0.0264798
+0.027647
+0.0289332
+0.0303234
+0.031797
+0.0333399
+0.0475354
+0.0461312
+0.0447532
+0.0434421
+0.042189
+0.0409736
+0.0398335
+0.0387838
+0.0377527
+0.036752
+0.0358376
+0.0350185
+0.0342834
+0.0335631
+0.0329477
+0.0323766
+0.0319325
+0.0307749
+0.0289705
+0.0272229
+0.0255435
+0.023857
+0.0218935
+0.0199772
+0.0181209
+0.0163386
+0.0146565
+0.0130812
+0.0117055
+0.0105634
+0.00967345
+0.00909415
+0.00886623
+0.00909707
+0.00951901
+0.00940552
+0.0096006
+0.0101864
+0.0109123
+0.0112968
+0.0111262
+0.011361
+0.0119203
+0.012724
+0.0137987
+0.0151164
+0.0165732
+0.018176
+0.0187357
+0.0172363
+0.0157341
+0.0143221
+0.0131239
+0.0121613
+0.011131
+0.0103935
+0.00969059
+0.00909247
+0.00842885
+0.00816618
+0.00793421
+0.00819293
+0.00754612
+0.0054654
+0.00345051
+0.00143083
+-0.000503424
+-0.00268075
+-0.00464524
+-0.00404078
+-0.00316421
+-0.00242349
+-0.000739969
+0.00100144
+0.00310017
+0.00526487
+0.00733568
+0.00942828
+0.0115268
+0.0136544
+0.0157992
+0.0178977
+0.0200017
+0.0221225
+0.0223043
+0.0218982
+0.0217066
+0.0217353
+0.0219732
+0.0221911
+0.0225792
+0.0231555
+0.0239156
+0.0248462
+0.0259158
+0.0271074
+0.028418
+0.0297956
+0.0312416
+0.0327704
+0.0470535
+0.0456571
+0.0443222
+0.0430181
+0.0417644
+0.0405734
+0.0394573
+0.0384051
+0.037438
+0.0364587
+0.0355847
+0.034786
+0.034058
+0.0334551
+0.0328672
+0.0323553
+0.0317616
+0.0298694
+0.0280068
+0.0261949
+0.0244387
+0.0227488
+0.0211497
+0.019521
+0.0176191
+0.0157895
+0.0140323
+0.0124138
+0.0109942
+0.00976476
+0.00875103
+0.00812007
+0.00780551
+0.00792303
+0.00838519
+0.00923597
+0.00920409
+0.00949066
+0.0100572
+0.0102501
+0.0103996
+0.0107406
+0.0114103
+0.0122977
+0.0134771
+0.0148859
+0.016421
+0.0180817
+0.0195245
+0.0180905
+0.0167225
+0.0153999
+0.0142924
+0.013453
+0.0125614
+0.0119731
+0.0113964
+0.0109924
+0.0104444
+0.0102549
+0.0100696
+0.00940786
+0.00724701
+0.00508496
+0.00296328
+0.000979373
+-0.000924907
+-0.00292791
+-0.00466665
+-0.00374211
+-0.00258464
+-0.00192334
+-0.000107679
+0.00173032
+0.00370092
+0.00578187
+0.00784001
+0.00985572
+0.0119142
+0.0140128
+0.0161254
+0.0182473
+0.0203838
+0.0225307
+0.0221897
+0.0217815
+0.0215889
+0.0215821
+0.021574
+0.0217458
+0.0221342
+0.0227206
+0.0234948
+0.0244231
+0.0254653
+0.0266156
+0.0278908
+0.0292692
+0.0307401
+0.0322868
+0.0466657
+0.0452573
+0.0439103
+0.0426313
+0.0414288
+0.0402511
+0.0391291
+0.0380969
+0.0371305
+0.0362307
+0.0353866
+0.0346106
+0.033949
+0.0333557
+0.0328631
+0.0324533
+0.0310051
+0.029067
+0.0271672
+0.0253144
+0.0234868
+0.0217229
+0.0200418
+0.0184403
+0.0169497
+0.0154076
+0.0136824
+0.0120287
+0.0105152
+0.00927617
+0.00825149
+0.0075179
+0.00706447
+0.00711781
+0.00764778
+0.00833757
+0.00858177
+0.00854786
+0.00897891
+0.00927651
+0.00943236
+0.00999098
+0.0108425
+0.0119555
+0.0132368
+0.0146687
+0.0162515
+0.0179371
+0.0197218
+0.0191584
+0.0179242
+0.0166971
+0.0156814
+0.0149177
+0.0141871
+0.0136691
+0.0132456
+0.012983
+0.012502
+0.0123456
+0.0109893
+0.00886591
+0.00677958
+0.00478723
+0.00300885
+0.00141593
+-0.000524219
+-0.00263648
+-0.00419505
+-0.00342534
+-0.0023395
+-0.00153408
+0.000308817
+0.00213288
+0.00419213
+0.0063364
+0.00842488
+0.0104837
+0.0125871
+0.014631
+0.0166756
+0.0187532
+0.0208515
+0.0227358
+0.0221217
+0.0217121
+0.0214737
+0.0213844
+0.021334
+0.0215077
+0.0218861
+0.0224453
+0.0231509
+0.0240141
+0.0250398
+0.0262088
+0.0274605
+0.0287928
+0.0302147
+0.0317191
+0.0463394
+0.0449609
+0.0436047
+0.0423165
+0.0411047
+0.0399764
+0.0389054
+0.037867
+0.0369295
+0.0360405
+0.0352492
+0.034546
+0.0338925
+0.0333598
+0.0329311
+0.0323955
+0.0303881
+0.0284079
+0.0264608
+0.0245548
+0.0226876
+0.0208744
+0.0191215
+0.0174354
+0.0158716
+0.0142557
+0.0127642
+0.0114589
+0.0103796
+0.0090503
+0.00803589
+0.00717691
+0.00670282
+0.00663799
+0.00702356
+0.00709006
+0.00743016
+0.0077582
+0.00820277
+0.00859679
+0.00878696
+0.00929306
+0.0101556
+0.0113592
+0.0127774
+0.0143853
+0.0160813
+0.017878
+0.019293
+0.0202418
+0.0192632
+0.0181666
+0.0172377
+0.0165323
+0.0159487
+0.0154896
+0.0151859
+0.0150144
+0.0141869
+0.0122605
+0.0102451
+0.00830512
+0.00648452
+0.00437514
+0.00237687
+0.000477526
+-0.0013612
+-0.0031693
+-0.00419365
+-0.00303369
+-0.00181916
+-0.000717918
+0.000904343
+0.00280864
+0.00477025
+0.0067955
+0.00887599
+0.0109888
+0.0131193
+0.0152234
+0.0173281
+0.0193974
+0.0214907
+0.0227979
+0.0221102
+0.0216148
+0.0213217
+0.0210443
+0.0209931
+0.0211679
+0.0215263
+0.0220947
+0.0228002
+0.0236276
+0.0246197
+0.025727
+0.0269672
+0.0283228
+0.0297688
+0.0312946
+0.0460566
+0.044704
+0.043402
+0.0421134
+0.0408957
+0.0397614
+0.0387179
+0.0377466
+0.036823
+0.0359745
+0.0351814
+0.0344908
+0.0339185
+0.033437
+0.033025
+0.031956
+0.0299192
+0.0279056
+0.0259209
+0.023972
+0.0220571
+0.0201875
+0.0183843
+0.0166464
+0.0150151
+0.0133265
+0.0117491
+0.0103586
+0.00924622
+0.00841494
+0.00795678
+0.007251
+0.00674989
+0.00659974
+0.00638109
+0.00610958
+0.00642674
+0.00722198
+0.00782376
+0.00829904
+0.00839926
+0.00891875
+0.00985562
+0.0110921
+0.012548
+0.0141819
+0.0157438
+0.0165415
+0.0174448
+0.018467
+0.0196309
+0.01977
+0.01892
+0.0182674
+0.0178057
+0.0173957
+0.017092
+0.0150718
+0.0131065
+0.0112212
+0.00943058
+0.00746815
+0.00544166
+0.00350172
+0.00199668
+0.000584536
+-0.00154594
+-0.00296022
+-0.00322363
+-0.00241217
+-0.00116846
+-0.000193029
+0.00132954
+0.0031689
+0.00515456
+0.00715672
+0.00923257
+0.0113251
+0.0134489
+0.0155913
+0.0177454
+0.0199075
+0.0220198
+0.0228246
+0.0220872
+0.0214745
+0.0210598
+0.0208567
+0.020805
+0.0209832
+0.0213462
+0.021793
+0.0224456
+0.0232592
+0.0242311
+0.0253554
+0.026603
+0.0279626
+0.0294051
+0.0309346
+0.0457784
+0.0444907
+0.0432094
+0.0419754
+0.0407889
+0.0396515
+0.0386051
+0.0376466
+0.0367634
+0.0359919
+0.0352331
+0.0345429
+0.0339714
+0.0335336
+0.0332347
+0.0316623
+0.0296053
+0.0275688
+0.0255579
+0.0235791
+0.0216311
+0.0197211
+0.017869
+0.0160754
+0.01432
+0.0125646
+0.0109298
+0.00949807
+0.00830851
+0.00743593
+0.00693146
+0.00673999
+0.00701653
+0.00675926
+0.00599625
+0.0055775
+0.005793
+0.00643816
+0.0071876
+0.00774736
+0.00843917
+0.0089839
+0.00967177
+0.0104951
+0.0116163
+0.012998
+0.01379
+0.0146817
+0.015671
+0.0167791
+0.0180452
+0.019423
+0.0206886
+0.0200916
+0.0197212
+0.0181755
+0.0161985
+0.014284
+0.0122979
+0.0102691
+0.00829873
+0.00647152
+0.0049174
+0.00297898
+0.00100246
+-0.000713286
+-0.00241388
+-0.00294628
+-0.00320648
+-0.00177302
+-0.00044501
+9.67896e-05
+0.00179262
+0.00372977
+0.00572001
+0.00777061
+0.00972564
+0.0117463
+0.0138169
+0.0159197
+0.0180434
+0.0201807
+0.0223234
+0.0227621
+0.0220226
+0.0214228
+0.0210071
+0.0207817
+0.0207298
+0.0208534
+0.0210828
+0.0215292
+0.0221464
+0.0229569
+0.0239404
+0.0250628
+0.026291
+0.0276024
+0.0290117
+0.0305132
+0.0454668
+0.0442592
+0.043077
+0.0418835
+0.0407325
+0.0396306
+0.0385836
+0.0376351
+0.0367913
+0.0360205
+0.0353619
+0.0347333
+0.0341651
+0.0337297
+0.0334326
+0.0315184
+0.0294514
+0.0274035
+0.0253795
+0.0233856
+0.0214216
+0.019489
+0.0175949
+0.0157516
+0.0138579
+0.0120593
+0.0103767
+0.00886049
+0.00765218
+0.00677866
+0.00620851
+0.00599593
+0.00608047
+0.00564325
+0.00576932
+0.00549626
+0.00544981
+0.00579295
+0.00648143
+0.00695548
+0.00732112
+0.00724388
+0.00774127
+0.00868601
+0.00999798
+0.0110509
+0.0119188
+0.0128936
+0.0140019
+0.015204
+0.0165636
+0.018041
+0.0196515
+0.0202307
+0.0190809
+0.0172267
+0.0153562
+0.0133213
+0.0113445
+0.00946236
+0.00761086
+0.00556209
+0.00365866
+0.00217741
+0.00112923
+-0.000564794
+-0.00268826
+-0.00296177
+-0.0026508
+-0.00141297
+-1.3736e-06
+0.000768738
+0.00242385
+0.00418965
+0.00620606
+0.00819362
+0.0102243
+0.012284
+0.0143823
+0.0164985
+0.018556
+0.020641
+0.0227459
+0.022878
+0.0221424
+0.0214806
+0.0210221
+0.0207673
+0.0206966
+0.0207242
+0.0209549
+0.0213843
+0.0220055
+0.0227616
+0.0236631
+0.024717
+0.0259134
+0.0272339
+0.0286611
+0.03018
+0.0452474
+0.0440337
+0.0428976
+0.0418132
+0.0407336
+0.0396567
+0.0386585
+0.0377404
+0.0368938
+0.0361367
+0.0354807
+0.0348865
+0.0344016
+0.0340319
+0.0335819
+0.0314989
+0.0294316
+0.0273835
+0.0253592
+0.0233649
+0.0214083
+0.0194544
+0.0175566
+0.0155902
+0.0136743
+0.0118539
+0.0101517
+0.00861649
+0.00738826
+0.00649429
+0.00589872
+0.00564495
+0.00550828
+0.00510725
+0.00525113
+0.00574906
+0.00535013
+0.00527664
+0.00568777
+0.00592306
+0.00541373
+0.0053096
+0.00592888
+0.00705857
+0.00824559
+0.00914405
+0.0101508
+0.0112202
+0.012478
+0.0137721
+0.0152373
+0.016821
+0.0181251
+0.0186756
+0.018045
+0.016094
+0.0142114
+0.0123937
+0.0105567
+0.0085181
+0.00655706
+0.00479897
+0.00329917
+0.00125555
+-0.000437075
+-0.00168059
+-0.00323458
+-0.00280604
+-0.00243657
+-0.000981988
+0.000329113
+0.00140543
+0.00283769
+0.00460352
+0.00661327
+0.00871072
+0.01077
+0.0127802
+0.0148416
+0.0169356
+0.0190512
+0.0211822
+0.0233109
+0.0230949
+0.0222832
+0.0215605
+0.0210154
+0.0206799
+0.0205376
+0.0206284
+0.0208536
+0.0212657
+0.021821
+0.0225375
+0.0234376
+0.0245011
+0.0257076
+0.027013
+0.0284047
+0.0298923
+0.0449841
+0.0438776
+0.0427682
+0.0416894
+0.0406859
+0.0397779
+0.038789
+0.0378948
+0.0371057
+0.0363576
+0.0357264
+0.0351636
+0.0346825
+0.0343347
+0.0337046
+0.0316297
+0.0295715
+0.0275337
+0.0255214
+0.0235408
+0.0216001
+0.0196654
+0.0176888
+0.015718
+0.0138135
+0.0120072
+0.0103041
+0.00879359
+0.00759045
+0.00675139
+0.00619325
+0.0059707
+0.00565398
+0.00528704
+0.00534523
+0.00573005
+0.00558681
+0.00507225
+0.00501501
+0.00412797
+0.0034535
+0.00334623
+0.00413814
+0.00543118
+0.00628373
+0.00735132
+0.00849436
+0.00970783
+0.0111076
+0.0125332
+0.0140912
+0.015764
+0.0166583
+0.0171635
+0.0172264
+0.0151704
+0.0131581
+0.0112128
+0.00937085
+0.00762985
+0.00591693
+0.00392519
+0.00222607
+0.00116119
+-7.43384e-06
+-0.00209716
+-0.0037787
+-0.00337689
+-0.0020899
+-0.000744051
+0.000623035
+0.00182511
+0.00333648
+0.00528678
+0.00729614
+0.00927292
+0.0113016
+0.0133796
+0.0153608
+0.0173923
+0.0194584
+0.0215491
+0.0236579
+0.0232915
+0.0223627
+0.0216168
+0.0210678
+0.0206977
+0.0205555
+0.0205809
+0.0207349
+0.0211042
+0.0216258
+0.0223307
+0.0232216
+0.0242781
+0.0254532
+0.0267522
+0.0281568
+0.0296568
+0.0447901
+0.0436787
+0.0426509
+0.0416688
+0.0406769
+0.0397674
+0.0389403
+0.0381322
+0.037352
+0.0366588
+0.0360349
+0.0355353
+0.0350982
+0.0347545
+0.0339683
+0.0319106
+0.0298718
+0.027856
+0.0258687
+0.023917
+0.0219801
+0.0200153
+0.0180326
+0.0161039
+0.0142512
+0.012501
+0.0108561
+0.00940845
+0.00826791
+0.00746644
+0.00697395
+0.00682438
+0.00643338
+0.00612196
+0.00609448
+0.00617289
+0.00575525
+0.00481358
+0.00354625
+0.00241399
+0.00148013
+0.00134762
+0.00249874
+0.00341583
+0.00443217
+0.00573115
+0.00705473
+0.00837116
+0.00993368
+0.0115055
+0.0131851
+0.0146267
+0.0150861
+0.0157069
+0.015795
+0.014264
+0.012404
+0.0103174
+0.00828487
+0.0063582
+0.00461711
+0.00317988
+0.00169272
+-0.000216211
+-0.00140288
+-0.00277724
+-0.00339491
+-0.00316487
+-0.00187225
+-0.000435251
+0.00111024
+0.00236244
+0.00379802
+0.0056277
+0.00764932
+0.00974431
+0.0117642
+0.0138076
+0.0158871
+0.017993
+0.0200974
+0.0221278
+0.0241862
+0.0234351
+0.0225052
+0.0217106
+0.0210815
+0.0206667
+0.020479
+0.0204731
+0.02064
+0.0209991
+0.0215232
+0.0222314
+0.0231262
+0.0241671
+0.0253124
+0.0265866
+0.0279695
+0.0294476
+0.0446953
+0.0435891
+0.0425591
+0.0416192
+0.0407397
+0.0398453
+0.0390304
+0.0383118
+0.0376914
+0.0370305
+0.0364392
+0.0359453
+0.0355795
+0.0353055
+0.03437
+0.0323378
+0.0303278
+0.0283444
+0.0263939
+0.024464
+0.0225284
+0.0205546
+0.0186294
+0.0167695
+0.0149789
+0.0132787
+0.0117421
+0.0104183
+0.00935596
+0.00859802
+0.00817346
+0.0081169
+0.00771992
+0.00736905
+0.00716777
+0.00677718
+0.00562628
+0.00389441
+0.00233799
+0.000888788
+-0.000289679
+-0.000532522
+0.000546507
+0.00150351
+0.00290557
+0.00435958
+0.00575689
+0.00736491
+0.00896488
+0.0106483
+0.0124732
+0.0131621
+0.0136748
+0.014332
+0.0143642
+0.0132543
+0.0112849
+0.00937847
+0.00754133
+0.0055451
+0.0034834
+0.00172611
+0.000738778
+-0.000215614
+-0.0021599
+-0.00406052
+-0.00375669
+-0.00306309
+-0.00141133
+0.000126993
+0.00170553
+0.00333039
+0.00470889
+0.00639824
+0.00825429
+0.0102355
+0.0122802
+0.014368
+0.0164357
+0.018491
+0.0205637
+0.0226586
+0.0246967
+0.0235812
+0.0226234
+0.02179
+0.0211412
+0.0207049
+0.0204888
+0.0204902
+0.0206806
+0.0209882
+0.0214486
+0.0221173
+0.0229762
+0.0240049
+0.0251574
+0.0264152
+0.0277841
+0.0292531
+0.0446739
+0.043581
+0.0425514
+0.0416113
+0.0407673
+0.0400151
+0.0392313
+0.0385281
+0.0379267
+0.0374439
+0.0369182
+0.03647
+0.0361096
+0.0358795
+0.0349048
+0.0329057
+0.0309325
+0.0289889
+0.0270657
+0.0251722
+0.0232165
+0.0213066
+0.0194435
+0.0176452
+0.015937
+0.0143507
+0.0129418
+0.0117073
+0.0107586
+0.0100602
+0.00971327
+0.00967715
+0.00925172
+0.00885308
+0.00860071
+0.00730544
+0.005283
+0.00332149
+0.00155825
+-0.000262082
+-0.00186592
+-0.00218249
+-0.00139893
+0.000147922
+0.0017191
+0.00327587
+0.00489196
+0.00660821
+0.00831572
+0.010077
+0.0114703
+0.0118272
+0.0123418
+0.0130651
+0.0131444
+0.0122085
+0.0104261
+0.00836507
+0.00639049
+0.00450805
+0.00277246
+0.00117221
+-0.000612869
+-0.00157835
+-0.00286037
+-0.0044358
+-0.00387783
+-0.00251766
+-0.00104967
+0.000495061
+0.00233534
+0.00396798
+0.00553895
+0.00714783
+0.00896705
+0.0109235
+0.0129552
+0.0149919
+0.0170156
+0.0190268
+0.0210687
+0.02313
+0.0248959
+0.023756
+0.0227648
+0.0219481
+0.0213068
+0.0208529
+0.0206229
+0.0206117
+0.0207151
+0.0209535
+0.0214025
+0.0220305
+0.022852
+0.023847
+0.0249659
+0.0262184
+0.0275884
+0.029059
+0.0447599
+0.0436689
+0.0426413
+0.0417032
+0.0408611
+0.0401211
+0.0394786
+0.0388553
+0.0382709
+0.0377925
+0.0374364
+0.0370253
+0.036721
+0.0365303
+0.0355667
+0.0335932
+0.0316465
+0.0297338
+0.027862
+0.0259753
+0.024072
+0.0222163
+0.0204272
+0.0187192
+0.0171104
+0.0156436
+0.0143223
+0.013207
+0.0123536
+0.0117213
+0.0114044
+0.0113906
+0.0109716
+0.0105068
+0.00936663
+0.00730423
+0.00519699
+0.00310342
+0.00104289
+-0.00101848
+-0.00288711
+-0.00351452
+-0.00206819
+-0.000304272
+0.00124542
+0.00284854
+0.00462458
+0.006353
+0.00811425
+0.00990066
+0.010304
+0.0107306
+0.011226
+0.0119879
+0.0121992
+0.0110117
+0.00971821
+0.0077643
+0.00562335
+0.00350207
+0.00150023
+9.23831e-05
+-0.000436184
+-0.00188355
+-0.00381338
+-0.00476663
+-0.00342762
+-0.00164024
+-0.000200354
+0.00126162
+0.00281098
+0.00472781
+0.0064884
+0.00794758
+0.00968093
+0.0115626
+0.0135091
+0.0155163
+0.0175515
+0.0195627
+0.0216026
+0.0236694
+0.0251829
+0.0240715
+0.0230938
+0.0222892
+0.0216586
+0.0211883
+0.0208574
+0.0207113
+0.0207083
+0.0209024
+0.0213211
+0.0219514
+0.0227758
+0.023774
+0.0248961
+0.026152
+0.0275253
+0.0289991
+0.044949
+0.0438662
+0.0428432
+0.0419096
+0.0410717
+0.0403356
+0.0396966
+0.0391522
+0.0386873
+0.0382623
+0.0379118
+0.0376779
+0.0373798
+0.0372075
+0.0363103
+0.0343779
+0.0324783
+0.0306176
+0.0287899
+0.026903
+0.0250655
+0.0232891
+0.0215791
+0.0199604
+0.0184601
+0.017084
+0.0158774
+0.0148792
+0.0140852
+0.0135217
+0.0132424
+0.0132301
+0.012786
+0.0118205
+0.00974761
+0.00771312
+0.00563436
+0.00363762
+0.00183604
+0.000193571
+-0.00109346
+-0.00236284
+-0.00141202
+-7.64659e-05
+0.00142548
+0.00307365
+0.00474254
+0.00646655
+0.00812455
+0.00935211
+0.00935277
+0.00970732
+0.0103025
+0.011037
+0.0115316
+0.0100553
+0.00860212
+0.00724151
+0.00540706
+0.00329157
+0.0011472
+-0.000891726
+-0.0016416
+-0.00258808
+-0.00411006
+-0.00441015
+-0.00269051
+-0.00100917
+0.00057069
+0.00211176
+0.003904
+0.00547904
+0.00727426
+0.00896786
+0.0105347
+0.0122865
+0.0141476
+0.0160919
+0.0180926
+0.0201292
+0.0221865
+0.0242533
+0.0255265
+0.0243916
+0.0233875
+0.0225493
+0.0218596
+0.0213567
+0.0209548
+0.0207731
+0.0207604
+0.0209541
+0.0213717
+0.0220006
+0.0228162
+0.0237809
+0.0249014
+0.0261534
+0.0275095
+0.0289463
+0.045182
+0.0441473
+0.0431555
+0.0422288
+0.0413974
+0.0406671
+0.0400334
+0.0394937
+0.0390695
+0.0387556
+0.0384335
+0.0382334
+0.0381347
+0.0379659
+0.0371669
+0.0352814
+0.0334332
+0.0316287
+0.0297872
+0.0279676
+0.0262019
+0.024497
+0.0228749
+0.0213547
+0.0199381
+0.0186662
+0.017568
+0.0166713
+0.0159302
+0.0154149
+0.0151705
+0.0151596
+0.0144828
+0.0124614
+0.0104452
+0.00846376
+0.00661109
+0.00488078
+0.00328714
+0.00190609
+0.000701688
+-0.000613532
+-0.000628641
+0.000300094
+0.00160017
+0.00300007
+0.00455291
+0.00603925
+0.00758884
+0.00874804
+0.00869984
+0.00901382
+0.00959421
+0.0103651
+0.0108132
+0.00933397
+0.00774661
+0.00641528
+0.00434828
+0.00235279
+0.000719305
+-0.000787984
+-0.00225464
+-0.0038766
+-0.00500663
+-0.00385673
+-0.00222733
+-0.00073326
+0.000886276
+0.00256281
+0.00443216
+0.00640874
+0.00815458
+0.00980592
+0.0115839
+0.0132735
+0.0150627
+0.0169058
+0.0188202
+0.0207892
+0.0227987
+0.0248388
+0.0258503
+0.0247117
+0.0237212
+0.0228976
+0.0221587
+0.02155
+0.0211475
+0.0209282
+0.0209079
+0.0211002
+0.021515
+0.0221398
+0.0229317
+0.0238846
+0.0249776
+0.0261878
+0.0275182
+0.0289028
+0.0454613
+0.044436
+0.0434969
+0.0426435
+0.0418203
+0.0410975
+0.0404805
+0.0399525
+0.0395333
+0.039232
+0.0390439
+0.0388508
+0.0387769
+0.0387844
+0.0381302
+0.0362948
+0.034498
+0.0327105
+0.0309078
+0.0291509
+0.0274543
+0.0258322
+0.0242995
+0.0228558
+0.0215334
+0.0203612
+0.0193466
+0.0185332
+0.0178535
+0.0173759
+0.0171595
+0.0171211
+0.0153006
+0.0133336
+0.0114332
+0.00963654
+0.00795759
+0.0063848
+0.00496845
+0.00372754
+0.00242536
+0.0013594
+0.000988167
+0.00140085
+0.00242904
+0.00341616
+0.00464797
+0.00599942
+0.00753244
+0.00852049
+0.00844387
+0.00870665
+0.00926287
+0.0100595
+0.0100502
+0.00840763
+0.00702065
+0.00579464
+0.0038993
+0.00170871
+-0.00045372
+-0.00154594
+-0.00258677
+-0.00398615
+-0.00471295
+-0.00305601
+-0.00131029
+4.8366e-05
+0.00136022
+0.00303016
+0.00488989
+0.00684744
+0.00890168
+0.0108516
+0.012318
+0.013951
+0.0157196
+0.0175796
+0.0195071
+0.0212572
+0.0230442
+0.0248773
+0.0262765
+0.0251202
+0.0240979
+0.0231592
+0.022364
+0.0217611
+0.0213326
+0.0211145
+0.0211201
+0.0213105
+0.0217213
+0.0222856
+0.0229772
+0.0238507
+0.0248869
+0.0260664
+0.0273707
+0.0287623
+0.0457984
+0.0448271
+0.0438888
+0.0430412
+0.0422902
+0.0416249
+0.0410228
+0.0405173
+0.0401081
+0.0398143
+0.0396278
+0.0395223
+0.0394802
+0.0395056
+0.0391921
+0.0374023
+0.0356572
+0.0338739
+0.0321281
+0.0304398
+0.0288191
+0.0272783
+0.0258155
+0.024457
+0.023226
+0.0221324
+0.0212025
+0.0204296
+0.0198154
+0.0193862
+0.0191924
+0.0182094
+0.0162992
+0.0144568
+0.0126971
+0.0110463
+0.0094827
+0.00803696
+0.00675194
+0.0054714
+0.00426623
+0.00332986
+0.00274681
+0.00292546
+0.00349774
+0.0044749
+0.00539536
+0.0065938
+0.00789764
+0.00873654
+0.00863492
+0.00880721
+0.00931482
+0.0100714
+0.00946101
+0.00769363
+0.00615977
+0.00456577
+0.00274415
+0.000991323
+-0.000131594
+-0.00162454
+-0.00324712
+-0.00460568
+-0.00451626
+-0.00342509
+-0.00163931
+0.000204796
+0.00208702
+0.0037668
+0.00529805
+0.00688056
+0.00853911
+0.00987839
+0.0114435
+0.0131852
+0.0150448
+0.0169835
+0.0187771
+0.0205832
+0.0224149
+0.0242265
+0.0260634
+0.0254613
+0.0243969
+0.0234701
+0.0226857
+0.0220611
+0.0216295
+0.0213779
+0.0213424
+0.0214733
+0.0217959
+0.0222918
+0.0229832
+0.0238565
+0.0248924
+0.0260716
+0.0273462
+0.0287277
+0.0462041
+0.0452657
+0.044372
+0.0435338
+0.0427914
+0.0421341
+0.0415773
+0.0411297
+0.0407732
+0.0404853
+0.0403146
+0.0402432
+0.0402181
+0.040296
+0.0403354
+0.0385987
+0.0368602
+0.0351261
+0.0334457
+0.0318273
+0.0302811
+0.0288044
+0.0274189
+0.0261439
+0.0249919
+0.0239729
+0.0231171
+0.0223798
+0.0218205
+0.0214318
+0.0211623
+0.0192972
+0.0175064
+0.0157723
+0.0141391
+0.0125807
+0.0111083
+0.00981782
+0.0085091
+0.00728603
+0.00619942
+0.00524254
+0.00468852
+0.00464253
+0.00500387
+0.00561498
+0.00648253
+0.0076652
+0.00868898
+0.00925237
+0.00915616
+0.00931699
+0.00977262
+0.0104314
+0.00931916
+0.00750816
+0.00590155
+0.00385572
+0.00172682
+-9.90859e-05
+-0.000902087
+-0.0018554
+-0.00326558
+-0.00515253
+-0.0038414
+-0.00209768
+-0.000796941
+0.000464798
+0.00182015
+0.0032664
+0.0046986
+0.00626449
+0.00785711
+0.00929518
+0.010944
+0.0127542
+0.0146685
+0.0165072
+0.0182751
+0.0201237
+0.0218883
+0.0236963
+0.0255599
+0.0258289
+0.0247571
+0.0238389
+0.0230747
+0.0224423
+0.0219382
+0.0215975
+0.0214759
+0.0215773
+0.0218984
+0.0224097
+0.0230976
+0.0239508
+0.0249469
+0.0260893
+0.0273597
+0.0287411
+0.046627
+0.0457215
+0.0449047
+0.0441298
+0.0433976
+0.0427497
+0.042201
+0.0417601
+0.0414206
+0.0411824
+0.0410598
+0.0410069
+0.0410049
+0.0411198
+0.0413286
+0.0398635
+0.0381402
+0.036467
+0.0348513
+0.0333013
+0.0318142
+0.030408
+0.029099
+0.0279008
+0.026815
+0.0258679
+0.025065
+0.0243709
+0.0238584
+0.0235036
+0.0223213
+0.0205616
+0.0188544
+0.0172333
+0.0156787
+0.0141901
+0.0128581
+0.0115788
+0.0103003
+0.00914416
+0.00808853
+0.00720124
+0.00667739
+0.00653496
+0.00668034
+0.00714534
+0.00782543
+0.00872115
+0.00978806
+0.0101146
+0.00994261
+0.0100801
+0.0104775
+0.0103478
+0.00934627
+0.00763633
+0.00608148
+0.00395032
+0.00185426
+3.69616e-05
+-0.00173557
+-0.00260116
+-0.00378764
+-0.00462964
+-0.00360615
+-0.0016963
+-0.000154605
+0.00131588
+0.00239358
+0.00343205
+0.00476286
+0.00618665
+0.00764694
+0.00913151
+0.0108467
+0.0126919
+0.0145264
+0.0162322
+0.0180271
+0.0197327
+0.0215095
+0.023347
+0.0252364
+0.0262207
+0.0251167
+0.0241494
+0.0233482
+0.0227307
+0.0222385
+0.0219025
+0.0217509
+0.0218085
+0.0220844
+0.0225705
+0.0232536
+0.024098
+0.0250961
+0.0262308
+0.0274782
+0.02879
+0.0470577
+0.0462221
+0.045416
+0.0447028
+0.0440653
+0.0434574
+0.0429276
+0.0424942
+0.0421606
+0.0419266
+0.0418062
+0.0418004
+0.0418634
+0.0419759
+0.042202
+0.0411662
+0.0394997
+0.0378866
+0.03633
+0.0348391
+0.033417
+0.0320812
+0.0308433
+0.0297084
+0.0286897
+0.0278064
+0.0270359
+0.0263936
+0.0259211
+0.0253633
+0.023627
+0.0219389
+0.0203275
+0.0187767
+0.0172777
+0.0159206
+0.0146605
+0.0133176
+0.0121436
+0.0110107
+0.00998213
+0.00918037
+0.00865749
+0.0084555
+0.00853304
+0.00877087
+0.00926662
+0.0100604
+0.0109992
+0.0112035
+0.0110395
+0.0111568
+0.0114122
+0.0102926
+0.0092397
+0.00738191
+0.00572072
+0.00387089
+0.00182985
+0.000193482
+-0.000869234
+-0.00230291
+-0.00399356
+-0.00410069
+-0.00307298
+-0.00170402
+-0.000867508
+0.000560423
+0.00179197
+0.00326607
+0.00486494
+0.00640268
+0.00796142
+0.00946284
+0.0111271
+0.0129154
+0.0145159
+0.0160725
+0.017729
+0.0194909
+0.0212476
+0.0230571
+0.0249278
+0.0265908
+0.0254947
+0.0245423
+0.0237544
+0.0231476
+0.0226344
+0.0222627
+0.022103
+0.0221597
+0.0224312
+0.022891
+0.0235108
+0.0243035
+0.0252476
+0.0263406
+0.0275579
+0.0288646
+0.0475187
+0.0467514
+0.0459946
+0.0452905
+0.0446828
+0.0441755
+0.0436785
+0.0432741
+0.0429777
+0.0427702
+0.0426522
+0.0426465
+0.042753
+0.0429247
+0.0431458
+0.0425366
+0.040926
+0.0393665
+0.0378685
+0.0364406
+0.0350834
+0.0338135
+0.0326395
+0.0315633
+0.0306063
+0.02978
+0.0290382
+0.0284412
+0.0280033
+0.0267
+0.0250257
+0.0234218
+0.0218747
+0.0203685
+0.0189897
+0.0176954
+0.0163651
+0.0151737
+0.0140078
+0.0128979
+0.011902
+0.0111723
+0.0106549
+0.010466
+0.0103603
+0.0104944
+0.010913
+0.0116252
+0.012462
+0.0125829
+0.0123943
+0.0124786
+0.0115261
+0.0104213
+0.00939854
+0.00762854
+0.00581572
+0.00367908
+0.00163526
+9.18669e-05
+-0.00101528
+-0.002226
+-0.00348722
+-0.00286179
+-0.00222071
+-0.000365071
+0.000853613
+0.00154043
+0.00245845
+0.00371208
+0.00510393
+0.00669303
+0.00833363
+0.0100516
+0.0114204
+0.0129118
+0.014325
+0.0158615
+0.017523
+0.0192526
+0.0210054
+0.0228305
+0.0247152
+0.0266467
+0.0259423
+0.0250402
+0.0242685
+0.0235621
+0.0230051
+0.022644
+0.0224871
+0.0225429
+0.0227935
+0.0232014
+0.0238046
+0.0245878
+0.0255215
+0.0265789
+0.02775
+0.0290163
+0.0480388
+0.0472793
+0.0466104
+0.0459751
+0.0453766
+0.0448771
+0.044462
+0.0441165
+0.0438259
+0.0436434
+0.0435704
+0.0435864
+0.0436906
+0.043884
+0.0441634
+0.0439729
+0.0424119
+0.0409081
+0.0394686
+0.0381008
+0.0368048
+0.0355961
+0.0344747
+0.0334576
+0.0325563
+0.0317649
+0.031066
+0.0305087
+0.0297782
+0.0281146
+0.0265165
+0.0249727
+0.0234613
+0.0220595
+0.0207372
+0.0194286
+0.0181742
+0.0169937
+0.0158618
+0.0147627
+0.0138996
+0.0131717
+0.0127133
+0.0124265
+0.0122583
+0.0123368
+0.0127026
+0.0132953
+0.0140456
+0.0140948
+0.0138555
+0.0129758
+0.0116736
+0.0105352
+0.00952221
+0.00789967
+0.00585277
+0.00379752
+0.00187805
+0.00021758
+-0.00121276
+-0.00207442
+-0.00300623
+-0.00241556
+-0.00152047
+-0.000148453
+0.00107747
+0.00239207
+0.00379563
+0.00486071
+0.00602285
+0.00743797
+0.00885318
+0.0100821
+0.011417
+0.012815
+0.0143391
+0.0158734
+0.0175049
+0.0191918
+0.020946
+0.0227759
+0.0246647
+0.0265999
+0.026494
+0.0255868
+0.0247457
+0.024017
+0.0234703
+0.0231122
+0.0229585
+0.0230132
+0.0232612
+0.0236448
+0.0242045
+0.0249237
+0.0258094
+0.0268255
+0.0279621
+0.0291959
+0.0486498
+0.0479
+0.04724
+0.0466735
+0.0461602
+0.0456732
+0.0452654
+0.0449579
+0.0447497
+0.0445708
+0.0444991
+0.0445352
+0.0446788
+0.0448944
+0.0451985
+0.0454644
+0.0439559
+0.0425067
+0.0411232
+0.0398123
+0.0385726
+0.0374112
+0.0363443
+0.035381
+0.0345299
+0.0337711
+0.0331146
+0.0325923
+0.0312054
+0.029612
+0.0280708
+0.0265552
+0.0251351
+0.0237935
+0.0225016
+0.0212027
+0.0199972
+0.0188357
+0.0177035
+0.0167056
+0.0158834
+0.0152179
+0.0148097
+0.0143912
+0.0142161
+0.0142602
+0.0145542
+0.0150656
+0.0157249
+0.0157052
+0.0148861
+0.013441
+0.0121652
+0.0108667
+0.00961962
+0.0075791
+0.00565213
+0.00393737
+0.00274675
+0.00164169
+0.000875057
+-0.00054809
+-0.00120929
+-0.000866682
+-0.000867458
+-1.98508e-06
+0.00190934
+0.00312765
+0.00442862
+0.00582251
+0.00707162
+0.00840886
+0.00942199
+0.0104367
+0.0117313
+0.0130894
+0.0146283
+0.0161216
+0.0177111
+0.0193761
+0.021115
+0.0229314
+0.0248084
+0.0267332
+0.0270866
+0.0261567
+0.0253656
+0.0246481
+0.024109
+0.0237604
+0.0236108
+0.0236389
+0.0237777
+0.0241147
+0.0246425
+0.0253186
+0.0261554
+0.0270932
+0.0281641
+0.0293491
+0.049326
+0.0485873
+0.0479374
+0.0473799
+0.0468785
+0.0464352
+0.0460919
+0.0458508
+0.0456591
+0.0455655
+0.0455085
+0.0455439
+0.0456843
+0.045928
+0.0462473
+0.0466554
+0.0455529
+0.0441562
+0.042826
+0.0415662
+0.0403716
+0.0392629
+0.0382476
+0.0373335
+0.036528
+0.035799
+0.0351803
+0.0340938
+0.032708
+0.0311688
+0.0296501
+0.0282156
+0.0268595
+0.0255643
+0.0242488
+0.0230257
+0.0218199
+0.0206506
+0.0195982
+0.0186972
+0.017888
+0.0172995
+0.0167807
+0.0163807
+0.0162245
+0.0162183
+0.0164684
+0.0169324
+0.0174943
+0.0169626
+0.0155771
+0.0141683
+0.0126976
+0.0114593
+0.0098106
+0.00782007
+0.00597137
+0.00436272
+0.00327005
+0.00231947
+0.0011746
+-0.000163516
+-0.00011681
+0.000772288
+0.00111783
+0.00138721
+0.00289799
+0.00418731
+0.00533079
+0.00686038
+0.00805331
+0.00928894
+0.0101194
+0.0111286
+0.0123612
+0.0136779
+0.0151404
+0.0166102
+0.0181254
+0.0197577
+0.0214896
+0.0232928
+0.0251429
+0.0270438
+0.0276965
+0.0267878
+0.0260036
+0.0253043
+0.0247794
+0.024425
+0.0242082
+0.0241823
+0.0242801
+0.0245346
+0.0249793
+0.0256044
+0.026367
+0.0272796
+0.0283266
+0.0294949
+0.0499835
+0.0492546
+0.0486136
+0.048064
+0.0476085
+0.0472317
+0.0469137
+0.0466768
+0.0465372
+0.0464853
+0.0465366
+0.0466167
+0.0467541
+0.0469933
+0.0473316
+0.0477499
+0.0471976
+0.045851
+0.0445714
+0.0433512
+0.0422071
+0.0411478
+0.0401803
+0.039311
+0.0385454
+0.0378449
+0.0369605
+0.0355643
+0.0342507
+0.0327455
+0.0312996
+0.029932
+0.0286082
+0.0273066
+0.0260631
+0.0248239
+0.0236047
+0.0224983
+0.0215314
+0.0206778
+0.0199315
+0.0193173
+0.0187925
+0.0184145
+0.0182456
+0.0182214
+0.018427
+0.01883
+0.0190393
+0.017825
+0.0163799
+0.014888
+0.0134958
+0.0122864
+0.0104494
+0.00860978
+0.00690644
+0.0055242
+0.0046228
+0.00305615
+0.00156481
+0.000374529
+0.000115213
+0.000896412
+0.00176693
+0.00207672
+0.00337035
+0.00516679
+0.00668533
+0.00805101
+0.00939749
+0.0104152
+0.0110561
+0.0119508
+0.0131022
+0.0143418
+0.01575
+0.0172197
+0.0187747
+0.0203571
+0.022042
+0.0238002
+0.0255971
+0.0274514
+0.0283273
+0.0274065
+0.0266345
+0.0259837
+0.0254364
+0.0250373
+0.0247082
+0.0245707
+0.0246281
+0.024879
+0.0253177
+0.0259346
+0.0266878
+0.0275898
+0.0286255
+0.0297334
+0.0507271
+0.050009
+0.0493778
+0.0488368
+0.0483886
+0.0480179
+0.0477444
+0.047547
+0.0474147
+0.0473834
+0.0474477
+0.0475989
+0.04785
+0.0481319
+0.0484635
+0.048891
+0.0488851
+0.0475863
+0.0463463
+0.0451718
+0.044075
+0.0430618
+0.0421381
+0.0413102
+0.0405712
+0.0398619
+0.0384462
+0.0371059
+0.0358415
+0.0343861
+0.0330093
+0.0316626
+0.0303726
+0.0290952
+0.0278446
+0.0265917
+0.025432
+0.0243948
+0.0234837
+0.0226816
+0.0219771
+0.0213239
+0.0208321
+0.0204807
+0.0202852
+0.0202634
+0.0204292
+0.0207846
+0.0199779
+0.0184563
+0.0170648
+0.0157307
+0.0143756
+0.0124421
+0.0105977
+0.00890572
+0.00740221
+0.00627551
+0.00521362
+0.00423357
+0.00288976
+0.00186012
+0.00154286
+0.00210106
+0.0028566
+0.00311709
+0.00424381
+0.00585749
+0.00772275
+0.00953621
+0.0109569
+0.0116696
+0.0121776
+0.0129687
+0.0140228
+0.015206
+0.016549
+0.017978
+0.0195207
+0.0211337
+0.0227513
+0.0244293
+0.0261831
+0.0279986
+0.029048
+0.0280509
+0.027194
+0.026491
+0.0259544
+0.0255625
+0.0252411
+0.0251065
+0.0251627
+0.0254084
+0.02583
+0.0263647
+0.0270666
+0.0279232
+0.0289014
+0.0299956
+0.0515531
+0.0508467
+0.050226
+0.0496942
+0.0492539
+0.0488897
+0.0486211
+0.0484501
+0.048355
+0.0483243
+0.0483929
+0.0485548
+0.048801
+0.0491437
+0.0495809
+0.0500823
+0.0505803
+0.0493542
+0.0481534
+0.0470241
+0.0459715
+0.0450009
+0.0441179
+0.0433278
+0.0426133
+0.0413594
+0.0399967
+0.0387101
+0.0374746
+0.0360852
+0.0347248
+0.0334397
+0.0321399
+0.0308806
+0.029601
+0.0284007
+0.0273005
+0.026323
+0.0254697
+0.0246884
+0.0239644
+0.0233389
+0.0228591
+0.0225163
+0.0223534
+0.0223201
+0.0224596
+0.0223416
+0.0207755
+0.0193169
+0.0179091
+0.0165849
+0.0147731
+0.0128862
+0.0111112
+0.00951125
+0.00817094
+0.00710647
+0.00586471
+0.00466591
+0.00332441
+0.00274782
+0.00334972
+0.00404543
+0.00462839
+0.00485121
+0.00569115
+0.00705383
+0.00871198
+0.0105377
+0.0121852
+0.0129619
+0.0134097
+0.0141669
+0.0151375
+0.0162397
+0.0175313
+0.0189472
+0.0204274
+0.0220163
+0.0235857
+0.0252247
+0.0269271
+0.0286957
+0.0296649
+0.0286822
+0.0278058
+0.0270787
+0.0265131
+0.026035
+0.0257186
+0.0255866
+0.0256389
+0.0258441
+0.0262313
+0.0267471
+0.0274054
+0.0282189
+0.0291746
+0.030259
+0.0524576
+0.0517636
+0.0511541
+0.050632
+0.0501999
+0.0498426
+0.0495792
+0.0494115
+0.0493406
+0.0493368
+0.0494039
+0.0495679
+0.0498277
+0.0501659
+0.0505943
+0.051113
+0.0517195
+0.0511488
+0.0499912
+0.0489043
+0.047893
+0.0469622
+0.0461168
+0.0453615
+0.0442977
+0.0429165
+0.0416048
+0.0403641
+0.0391622
+0.0377928
+0.0364911
+0.0351893
+0.0339273
+0.0326231
+0.0313943
+0.0302445
+0.0292132
+0.0282839
+0.0274239
+0.0266617
+0.0259471
+0.0253619
+0.0248909
+0.0245698
+0.0244317
+0.0243951
+0.0244924
+0.0232648
+0.0217653
+0.0203116
+0.0189094
+0.0173229
+0.0154367
+0.0136419
+0.0119794
+0.0105079
+0.00930203
+0.00817238
+0.00682395
+0.00511166
+0.00386732
+0.00343003
+0.00394061
+0.00488304
+0.00540151
+0.00633635
+0.00747856
+0.00859561
+0.0100348
+0.0116806
+0.0134486
+0.0141713
+0.0147922
+0.0155221
+0.0164306
+0.0174775
+0.0186767
+0.0200166
+0.0214678
+0.0229526
+0.0244919
+0.0260924
+0.0277736
+0.0295146
+0.0303292
+0.0293357
+0.0284184
+0.0276206
+0.0269691
+0.0264832
+0.0261723
+0.0260398
+0.0260583
+0.0262603
+0.0266414
+0.0271942
+0.0278662
+0.0286666
+0.0296054
+0.0305706
+0.0534072
+0.0527453
+0.0521577
+0.0516458
+0.0512222
+0.0508721
+0.050614
+0.0504498
+0.0503804
+0.0504062
+0.0504852
+0.0506457
+0.0509
+0.0512468
+0.0516807
+0.0521886
+0.0527827
+0.0529733
+0.0518564
+0.0508094
+0.0498368
+0.048943
+0.0481324
+0.0472564
+0.0458597
+0.0445269
+0.0432642
+0.0420568
+0.0408654
+0.0395435
+0.038241
+0.0369778
+0.0356572
+0.034398
+0.0332165
+0.0321319
+0.0311479
+0.0302287
+0.0294047
+0.028653
+0.0279525
+0.0273912
+0.0269475
+0.0266451
+0.0265116
+0.0264521
+0.0258858
+0.0243506
+0.0228609
+0.0214171
+0.0200108
+0.0181523
+0.016362
+0.0146807
+0.0131503
+0.0118224
+0.0107036
+0.00940484
+0.00769871
+0.00622354
+0.00513497
+0.0047924
+0.00520158
+0.00610191
+0.00673388
+0.00753252
+0.00868606
+0.010035
+0.0115945
+0.0130704
+0.0146921
+0.0154573
+0.0162108
+0.0168882
+0.0177721
+0.0188276
+0.01992
+0.0211813
+0.0225577
+0.0240167
+0.0255297
+0.0270918
+0.0287148
+0.0303922
+0.0308785
+0.0298405
+0.0289315
+0.0281569
+0.027518
+0.027042
+0.0267376
+0.0266106
+0.0266518
+0.0268492
+0.0272221
+0.0277463
+0.0283408
+0.0290003
+0.0298067
+0.0307476
+0.0544082
+0.0537567
+0.0531874
+0.0527032
+0.0523062
+0.0519736
+0.051721
+0.0515603
+0.0514924
+0.0515176
+0.0516359
+0.0517938
+0.0520425
+0.0523817
+0.0528097
+0.0533197
+0.0539013
+0.0545605
+0.0537461
+0.0527367
+0.0518003
+0.0509409
+0.0501626
+0.048822
+0.0474714
+0.0461852
+0.0449555
+0.0437937
+0.0426024
+0.0412997
+0.0400197
+0.0387015
+0.0374165
+0.0362096
+0.0350808
+0.0340528
+0.0330859
+0.0321922
+0.031376
+0.0306356
+0.0299731
+0.0294362
+0.0290209
+0.0287305
+0.02858
+0.028513
+0.027044
+0.0255308
+0.0240628
+0.0226809
+0.0209632
+0.019197
+0.0175139
+0.0159544
+0.0143889
+0.0129798
+0.0116448
+0.0103561
+0.00895478
+0.00770432
+0.00684287
+0.00658917
+0.006893
+0.00767895
+0.00834629
+0.00910256
+0.0100798
+0.0113515
+0.0127704
+0.0143843
+0.0161233
+0.0166345
+0.0172976
+0.0181736
+0.0188952
+0.0197423
+0.0207856
+0.0219577
+0.0232017
+0.0245106
+0.025927
+0.0274452
+0.0290495
+0.0307255
+0.0315041
+0.0304874
+0.0295981
+0.0288415
+0.0282181
+0.0277542
+0.0274576
+0.0273221
+0.0273398
+0.0275153
+0.0278075
+0.028194
+0.0286902
+0.0293419
+0.0301391
+0.0310534
+0.0554758
+0.0548369
+0.054279
+0.0538046
+0.0534159
+0.0531018
+0.0528546
+0.0526973
+0.0526309
+0.0526556
+0.0527713
+0.0529774
+0.0532506
+0.0535822
+0.0540007
+0.0545041
+0.0550763
+0.0557258
+0.0556579
+0.0546838
+0.0537813
+0.0529541
+0.0518002
+0.0504342
+0.0491279
+0.0478791
+0.0466873
+0.0455698
+0.0443638
+0.0430643
+0.0417537
+0.040447
+0.039219
+0.0380534
+0.0369809
+0.0359829
+0.0350262
+0.0341622
+0.0333742
+0.0326382
+0.0320153
+0.0315007
+0.0311001
+0.0308057
+0.0306654
+0.029816
+0.0282882
+0.0267671
+0.0251316
+0.0235864
+0.0218254
+0.0200774
+0.0184243
+0.016892
+0.0154581
+0.0140469
+0.0126121
+0.0114012
+0.0104391
+0.00945577
+0.00875976
+0.00852859
+0.00878766
+0.00942209
+0.00988352
+0.010588
+0.0114455
+0.0125279
+0.0138405
+0.0153439
+0.0169958
+0.0178298
+0.0182211
+0.0187874
+0.0195837
+0.0204561
+0.0214658
+0.0226323
+0.0238016
+0.0250793
+0.0264652
+0.0279542
+0.0295244
+0.0311666
+0.0322274
+0.0312255
+0.0303459
+0.0296
+0.0289708
+0.0284865
+0.0281647
+0.027984
+0.0279349
+0.028051
+0.02831
+0.0286843
+0.0291721
+0.0298133
+0.0305841
+0.031473
+0.0566067
+0.0559798
+0.0554324
+0.0549664
+0.0545702
+0.0542493
+0.0540074
+0.0538535
+0.0537885
+0.0538127
+0.0539259
+0.0541276
+0.0544168
+0.054791
+0.0552171
+0.0557261
+0.0563121
+0.0569475
+0.0575896
+0.0566487
+0.055778
+0.0547918
+0.0534124
+0.0520886
+0.0508235
+0.0496057
+0.0484564
+0.0473806
+0.0461152
+0.0448122
+0.043487
+0.042234
+0.0410442
+0.0399319
+0.0389059
+0.0379016
+0.0369945
+0.0361392
+0.0353693
+0.0346618
+0.034064
+0.0335813
+0.0331717
+0.0328959
+0.032433
+0.030922
+0.0293555
+0.0276996
+0.0261207
+0.0242868
+0.0225167
+0.0208249
+0.0192326
+0.0177682
+0.016435
+0.0151673
+0.01384
+0.0127363
+0.0117439
+0.0109211
+0.0104131
+0.0103058
+0.0104576
+0.0108091
+0.0112892
+0.0119363
+0.0128485
+0.0138409
+0.0150831
+0.0164734
+0.0180221
+0.0186932
+0.0190362
+0.0195789
+0.0203443
+0.0212309
+0.0222171
+0.0233334
+0.0245782
+0.0258055
+0.0271495
+0.0285931
+0.0299186
+0.0309401
+0.0320449
+0.031958
+0.0310894
+0.0303543
+0.029741
+0.0292435
+0.028866
+0.0286514
+0.0286034
+0.0286345
+0.0287918
+0.0291134
+0.0295941
+0.0302264
+0.0310008
+0.0318937
+0.0577845
+0.0571705
+0.0566332
+0.0561626
+0.0557736
+0.0554597
+0.0552231
+0.0550726
+0.055009
+0.0550327
+0.0551434
+0.0553407
+0.0556236
+0.0559908
+0.0564408
+0.056954
+0.0575312
+0.0581851
+0.0589133
+0.0586297
+0.0577888
+0.0564035
+0.0550645
+0.0537814
+0.0525446
+0.0513676
+0.0502586
+0.049172
+0.0478757
+0.0465347
+0.04526
+0.0440479
+0.0429015
+0.0418386
+0.0408095
+0.0398482
+0.0389543
+0.0381395
+0.0373767
+0.0366918
+0.0361226
+0.0356501
+0.0352577
+0.0349983
+0.0334898
+0.0320288
+0.0303667
+0.0287149
+0.0268795
+0.0251
+0.0233886
+0.0217634
+0.020245
+0.0188536
+0.0175561
+0.0162754
+0.0150025
+0.0138265
+0.0128999
+0.0122355
+0.0119341
+0.0119575
+0.0121087
+0.0124296
+0.0128922
+0.0135071
+0.0143452
+0.015338
+0.0164724
+0.0178019
+0.019244
+0.0196743
+0.020047
+0.0204388
+0.0207459
+0.0212596
+0.0219796
+0.0228495
+0.0238878
+0.0250709
+0.0263581
+0.0272723
+0.0282033
+0.0292603
+0.0304263
+0.0317009
+0.0319033
+0.0311632
+0.0304994
+0.0299792
+0.0296056
+0.0293015
+0.0291593
+0.0291813
+0.029336
+0.0296384
+0.0300799
+0.0306719
+0.0314058
+0.032272
+0.0590202
+0.0584165
+0.0578771
+0.0574162
+0.0570358
+0.0567289
+0.0564976
+0.0563505
+0.0562884
+0.0563115
+0.0564197
+0.0566125
+0.0568891
+0.0572483
+0.0576862
+0.0581896
+0.0587704
+0.0594263
+0.0601549
+0.060625
+0.0594045
+0.0580531
+0.0567531
+0.0555008
+0.0542996
+0.0531615
+0.0520907
+0.0509435
+0.0495886
+0.0482952
+0.0470631
+0.0458875
+0.0447883
+0.0437436
+0.0427361
+0.0418095
+0.0409343
+0.0401426
+0.039388
+0.0387346
+0.0381958
+0.0377263
+0.0373557
+0.0361409
+0.0346532
+0.0331089
+0.0313967
+0.0295654
+0.0277862
+0.0260686
+0.0244253
+0.0228738
+0.0214249
+0.0200789
+0.0187178
+0.0173753
+0.0161215
+0.0150296
+0.0141652
+0.0135562
+0.0132818
+0.0132989
+0.0136718
+0.0141934
+0.0146132
+0.0150663
+0.0157636
+0.0166941
+0.0173576
+0.0175492
+0.0180073
+0.0183966
+0.018301
+0.0184194
+0.0187575
+0.0193241
+0.0200957
+0.021042
+0.0221652
+0.0234129
+0.0247024
+0.0255393
+0.0265311
+0.0276522
+0.0288831
+0.0302229
+0.0316577
+0.0318342
+0.0311826
+0.0306203
+0.030137
+0.0298072
+0.0296361
+0.0296264
+0.0297784
+0.0300894
+0.0305296
+0.031113
+0.0318367
+0.0326915
+0.0601891
+0.0597033
+0.0591756
+0.0587249
+0.058353
+0.0580461
+0.05782
+0.0576762
+0.0576155
+0.057638
+0.0577437
+0.0579321
+0.0582024
+0.0585534
+0.0589793
+0.0594717
+0.0600401
+0.0606823
+0.061396
+0.0621787
+0.0610298
+0.0597376
+0.0584717
+0.057249
+0.0560852
+0.0549841
+0.0539495
+0.0526477
+0.0513379
+0.0500885
+0.0488875
+0.0477569
+0.0466989
+0.0456515
+0.044686
+0.04377
+0.0429348
+0.0421395
+0.0414137
+0.0407927
+0.0402815
+0.0398148
+0.0388581
+0.0373496
+0.0358911
+0.034149
+0.0323252
+0.0305496
+0.0288312
+0.0271797
+0.0256078
+0.0241202
+0.0227227
+0.0213311
+0.0199481
+0.01861
+0.0174418
+0.0164367
+0.0156306
+0.0150809
+0.0148285
+0.0148439
+0.0151788
+0.0156901
+0.0161465
+0.0162378
+0.0156616
+0.0153536
+0.0153035
+0.0155205
+0.0160073
+0.0164165
+0.0163094
+0.0164421
+0.0168195
+0.0174492
+0.0182784
+0.019314
+0.0205112
+0.0218489
+0.0229844
+0.0238816
+0.0249395
+0.0261289
+0.0274282
+0.0288314
+0.0303229
+0.031895
+0.0318057
+0.0311871
+0.0307127
+0.0303891
+0.0302213
+0.0302119
+0.0303609
+0.030666
+0.031099
+0.0316719
+0.0323832
+0.0332239
+0.0611576
+0.0607623
+0.0604438
+0.0600849
+0.0597068
+0.0594062
+0.0591853
+0.0590449
+0.0589856
+0.0590076
+0.0591108
+0.0592949
+0.059559
+0.0599021
+0.0603229
+0.0608058
+0.0613618
+0.0619903
+0.0626891
+0.0634559
+0.0626895
+0.0614398
+0.0602134
+0.0590267
+0.0578987
+0.0568327
+0.0557112
+0.0543868
+0.0531199
+0.051899
+0.0507409
+0.0496525
+0.0485895
+0.0475833
+0.0466391
+0.0457514
+0.0449361
+0.0441476
+0.0434553
+0.042864
+0.0423577
+0.0416286
+0.0401031
+0.0386228
+0.0369561
+0.0351414
+0.0333718
+0.031655
+0.03
+0.0284165
+0.0269023
+0.0254691
+0.0240599
+0.0226517
+0.021259
+0.0200061
+0.0188959
+0.0179676
+0.0172504
+0.016754
+0.0165121
+0.0165259
+0.0159858
+0.015443
+0.0151858
+0.0143515
+0.0136961
+0.0133507
+0.0132931
+0.0135423
+0.0140618
+0.0144973
+0.0143759
+0.0145262
+0.0149515
+0.0156407
+0.0165518
+0.0176765
+0.0189611
+0.0204006
+0.0213531
+0.022316
+0.0234412
+0.0246754
+0.0260358
+0.0275035
+0.0290558
+0.030685
+0.0323804
+0.0318946
+0.0314309
+0.0311148
+0.0309509
+0.0309417
+0.0310872
+0.0313853
+0.0318084
+0.0323688
+0.0330651
+0.0338859
+0.0621693
+0.0617805
+0.0614673
+0.0612309
+0.0610723
+0.0608149
+0.0605991
+0.060462
+0.0604041
+0.0604256
+0.0605264
+0.0607061
+0.0609641
+0.0612994
+0.0617106
+0.0621884
+0.0627322
+0.0633471
+0.0640311
+0.064782
+0.064381
+0.0631648
+0.0619835
+0.0608314
+0.0597374
+0.0587048
+0.0574411
+0.0561575
+0.0549201
+0.0537378
+0.0526202
+0.0515463
+0.0505042
+0.0495311
+0.0486022
+0.0477511
+0.0469269
+0.0461724
+0.0455109
+0.0449466
+0.0444423
+0.0429027
+0.0414062
+0.0398046
+0.0379978
+0.0362292
+0.0344982
+0.0328221
+0.0312099
+0.029672
+0.0282204
+0.0268688
+0.0254434
+0.0240128
+0.0227036
+0.0215194
+0.020476
+0.0196226
+0.0184479
+0.0171435
+0.0160241
+0.0151264
+0.0143461
+0.0137543
+0.0134649
+0.0125407
+0.011807
+0.011417
+0.0113495
+0.0116405
+0.0121995
+0.0126601
+0.0125213
+0.0126995
+0.0131832
+0.0139317
+0.0149455
+0.0161513
+0.0174421
+0.0188877
+0.0198232
+0.0208148
+0.0219783
+0.0232902
+0.0247268
+0.0262678
+0.0278889
+0.0295825
+0.0313377
+0.0327337
+0.032282
+0.0319743
+0.0318149
+0.0318059
+0.0319474
+0.0322376
+0.0326497
+0.0331871
+0.0337567
+0.0344565
+0.0632407
+0.0628585
+0.0625508
+0.0623185
+0.0621627
+0.062075
+0.0620581
+0.0619242
+0.0618676
+0.0618886
+0.061987
+0.0621626
+0.0624145
+0.062742
+0.0631439
+0.0636149
+0.0641466
+0.0647481
+0.0654174
+0.0661526
+0.0661018
+0.0649178
+0.0637797
+0.0626607
+0.0615992
+0.0604997
+0.0592015
+0.0579494
+0.0567456
+0.0556021
+0.0545188
+0.053445
+0.0524356
+0.0514817
+0.0505841
+0.0497438
+0.0489347
+0.0482116
+0.0475785
+0.047039
+0.0457404
+0.0442314
+0.0425824
+0.0407751
+0.0390037
+0.0372743
+0.0355942
+0.0339723
+0.0324173
+0.0309394
+0.0295501
+0.0282573
+0.0268417
+0.0254897
+0.0237794
+0.0219622
+0.0202191
+0.0185648
+0.0170014
+0.0155896
+0.0143718
+0.0133849
+0.0126778
+0.0122084
+0.0118814
+0.0108563
+0.0100412
+0.0095896
+0.0094897
+0.00979516
+0.0104302
+0.0109242
+0.0107633
+0.0110065
+0.0115453
+0.0123292
+0.0132739
+0.0144761
+0.0158897
+0.0174266
+0.0183363
+0.0194013
+0.0206446
+0.022036
+0.0235493
+0.0251625
+0.0268505
+0.0286055
+0.0304171
+0.0322758
+0.0331611
+0.0328936
+0.0327386
+0.0327299
+0.0327934
+0.0329919
+0.0333334
+0.0338137
+0.034427
+0.0351335
+0.0643631
+0.0639876
+0.0636853
+0.0634572
+0.0633037
+0.0632119
+0.0631956
+0.0632552
+0.0633731
+0.0633936
+0.0634897
+0.0636611
+0.0639072
+0.064227
+0.0646197
+0.0650697
+0.0655896
+0.066178
+0.066833
+0.0675527
+0.0678497
+0.0666968
+0.0655967
+0.0645125
+0.063482
+0.0622507
+0.0609855
+0.0597626
+0.0585961
+0.0574895
+0.0564025
+0.0553611
+0.0543851
+0.0534466
+0.0525825
+0.051735
+0.0509576
+0.0502636
+0.0496567
+0.0486099
+0.0470485
+0.0452694
+0.0434604
+0.041688
+0.0399571
+0.0382733
+0.0366432
+0.0350742
+0.0335645
+0.032129
+0.0307826
+0.0287679
+0.0267674
+0.0247921
+0.0228458
+0.0209477
+0.0191123
+0.0173596
+0.0157171
+0.0141901
+0.0128432
+0.0117415
+0.0109565
+0.0104935
+0.0104411
+0.00935173
+0.00842182
+0.00787863
+0.00775638
+0.00808753
+0.00884603
+0.00934715
+0.00919287
+0.00935644
+0.00973448
+0.0105034
+0.0115794
+0.0129367
+0.0144381
+0.0160742
+0.0169992
+0.0181428
+0.0194667
+0.0209365
+0.0225238
+0.0242055
+0.0259557
+0.0277674
+0.0296303
+0.0315354
+0.0334699
+0.0337404
+0.0335766
+0.033485
+0.0335366
+0.0337306
+0.0340648
+0.0345349
+0.0351356
+0.0358603
+0.0655311
+0.0651623
+0.0648655
+0.0646416
+0.0644913
+0.0644032
+0.0643872
+0.0644457
+0.0645785
+0.0647851
+0.0650315
+0.0651988
+0.0654391
+0.0657515
+0.0661252
+0.0665648
+0.0670731
+0.0676486
+0.0682895
+0.0689941
+0.0696227
+0.0684996
+0.067429
+0.0663849
+0.0653046
+0.0640276
+0.0627875
+0.0616004
+0.0604694
+0.0593743
+0.0583045
+0.0572951
+0.056334
+0.0554284
+0.0545676
+0.0537418
+0.0529938
+0.0523268
+0.0514094
+0.0497978
+0.0480033
+0.0461974
+0.0444262
+0.0426939
+0.0410055
+0.0393666
+0.0377828
+0.03625
+0.0343902
+0.0322923
+0.0302075
+0.0281389
+0.0260902
+0.0240666
+0.0220748
+0.0201214
+0.0182029
+0.016353
+0.0145977
+0.0129754
+0.0115259
+0.010285
+0.00938043
+0.00886171
+0.00881001
+0.00811042
+0.00697959
+0.00632026
+0.00626488
+0.00666853
+0.00752344
+0.00796908
+0.00758757
+0.00749908
+0.00792444
+0.00881722
+0.0100341
+0.0114973
+0.0131639
+0.014847
+0.0158438
+0.0170648
+0.0184591
+0.0199966
+0.021647
+0.0233863
+0.0251879
+0.0270406
+0.0289405
+0.030879
+0.0328492
+0.0346701
+0.0344424
+0.0343531
+0.0344034
+0.0345926
+0.0349185
+0.0353773
+0.0359639
+0.0366722
+0.0667506
+0.0663886
+0.0660973
+0.0658775
+0.0657301
+0.0656461
+0.0656304
+0.0656877
+0.065818
+0.0660208
+0.0662954
+0.0666409
+0.0670076
+0.0673069
+0.0676679
+0.0680976
+0.0685945
+0.0691573
+0.0697844
+0.070474
+0.0712244
+0.0703244
+0.069282
+0.0682763
+0.0670733
+0.0658193
+0.0646136
+0.0634607
+0.062357
+0.0612631
+0.0602236
+0.0592426
+0.0582999
+0.0574254
+0.0565587
+0.0557624
+0.0550419
+0.0542036
+0.052586
+0.050779
+0.0489775
+0.0472089
+0.0454771
+0.0437864
+0.0421418
+0.0404198
+0.0382762
+0.0361384
+0.0340072
+0.0318841
+0.0297708
+0.0276696
+0.0255833
+0.0235161
+0.0214733
+0.0194628
+0.0174956
+0.0155881
+0.0137389
+0.0120011
+0.0104267
+0.00904908
+0.00802684
+0.00746397
+0.00739867
+0.00674109
+0.00539569
+0.00460143
+0.00453445
+0.00522787
+0.00640294
+0.00669276
+0.00593043
+0.00578915
+0.00629576
+0.00725163
+0.00863083
+0.0102569
+0.0120514
+0.0138152
+0.0148784
+0.0161647
+0.0176303
+0.019233
+0.0209269
+0.0227046
+0.0245493
+0.0264467
+0.0283865
+0.0303604
+0.0323622
+0.034387
+0.0354226
+0.0353358
+0.0353847
+0.0355687
+0.0358858
+0.0363323
+0.0369038
+0.0375944
+0.0680187
+0.0676635
+0.0673777
+0.0671622
+0.0670176
+0.0669376
+0.0669221
+0.0669784
+0.0671062
+0.0673051
+0.0675745
+0.0679135
+0.068321
+0.068796
+0.0692456
+0.0696655
+0.0701513
+0.0707018
+0.0713153
+0.0719902
+0.0727249
+0.0721696
+0.0711542
+0.0701225
+0.0688569
+0.0676344
+0.0664617
+0.0653414
+0.0642348
+0.0631683
+0.0621607
+0.0611936
+0.0602814
+0.0594036
+0.0585641
+0.0577955
+0.0570288
+0.0554071
+0.05359
+0.0517937
+0.0500287
+0.0482986
+0.0466073
+0.0445346
+0.0423727
+0.040214
+0.0380588
+0.035908
+0.0337623
+0.0316228
+0.0294908
+0.027368
+0.0252569
+0.0231605
+0.0210834
+0.0190317
+0.0170147
+0.0150463
+0.0131198
+0.0112867
+0.00960466
+0.00816743
+0.00705419
+0.00637198
+0.00633587
+0.00559144
+0.00401767
+0.00298518
+0.00290339
+0.00378618
+0.00530597
+0.00558116
+0.00462155
+0.00433584
+0.00480859
+0.00595194
+0.00750452
+0.00931407
+0.0112599
+0.0130164
+0.0141428
+0.0154987
+0.0170127
+0.0186494
+0.0203905
+0.0222112
+0.0240936
+0.0260243
+0.0279933
+0.0299931
+0.0320179
+0.0340632
+0.0361256
+0.0364087
+0.0364561
+0.0366347
+0.0369426
+0.0373766
+0.0379121
+0.0384641
+0.0693329
+0.0689845
+0.0687042
+0.0684928
+0.068351
+0.0682736
+0.0682585
+0.0683137
+0.0684389
+0.068634
+0.0688981
+0.0692306
+0.0696305
+0.0700966
+0.0706276
+0.0712221
+0.0717413
+0.0722796
+0.0728798
+0.0735404
+0.0742598
+0.0740336
+0.0730442
+0.0718997
+0.070662
+0.0694712
+0.06833
+0.0672146
+0.0661271
+0.0650915
+0.0641064
+0.0631603
+0.0622727
+0.0613943
+0.0605823
+0.0598396
+0.0582493
+0.0564312
+0.0546403
+0.0528797
+0.0509665
+0.0487945
+0.0466242
+0.044456
+0.0422901
+0.0401269
+0.0379668
+0.0358105
+0.0336585
+0.031512
+0.0293719
+0.0272399
+0.025118
+0.023009
+0.0209168
+0.018847
+0.0168001
+0.014782
+0.0128208
+0.010947
+0.00920439
+0.00767949
+0.00642
+0.00574462
+0.00570532
+0.00487342
+0.00299147
+0.00157314
+0.00146786
+0.00271383
+0.00450164
+0.00492766
+0.00365353
+0.00307864
+0.00367078
+0.00504461
+0.00683184
+0.00878997
+0.0108101
+0.0125244
+0.0136913
+0.0150878
+0.0166393
+0.0183095
+0.02008
+0.0219265
+0.0238314
+0.0257818
+0.027768
+0.0297829
+0.0318211
+0.0338782
+0.0359512
+0.0375687
+0.0376147
+0.0377878
+0.0380116
+0.0383368
+0.0387748
+0.0393148
+0.0706906
+0.0703489
+0.0700741
+0.0698668
+0.0697278
+0.0696519
+0.0696371
+0.0696912
+0.069814
+0.0700052
+0.0702642
+0.0705903
+0.0709825
+0.0714398
+0.0719609
+0.0725444
+0.0731888
+0.0738887
+0.074476
+0.0751225
+0.0758269
+0.0759151
+0.0749471
+0.0736954
+0.0724883
+0.0713281
+0.0702044
+0.069098
+0.0680371
+0.067031
+0.066059
+0.065088
+0.0640699
+0.0631111
+0.0622025
+0.0611094
+0.059298
+0.0575128
+0.0553368
+0.0531621
+0.0509888
+0.048817
+0.0466469
+0.0444789
+0.0423133
+0.0401503
+0.0379905
+0.0358345
+0.033683
+0.0315368
+0.0293972
+0.0272657
+0.0251445
+0.0230362
+0.0209448
+0.0188749
+0.0168165
+0.0147961
+0.0128317
+0.0109536
+0.00921442
+0.00764468
+0.00639241
+0.0057137
+0.00568053
+0.00484002
+0.00283518
+0.0011761
+0.00108933
+0.00264004
+0.00453516
+0.00462655
+0.00320823
+0.0025121
+0.0031302
+0.00468794
+0.00660448
+0.0086077
+0.0106811
+0.0123992
+0.0135769
+0.014984
+0.0165402
+0.0182187
+0.0199966
+0.0218496
+0.0237601
+0.0257154
+0.0277059
+0.0297245
+0.031766
+0.0338262
+0.0359018
+0.0379903
+0.0386341
+0.0387068
+0.038903
+0.0392208
+0.0396147
+0.0401202
+0.0720893
+0.0717543
+0.0714848
+0.0712817
+0.0711455
+0.071071
+0.0710565
+0.0711095
+0.0712299
+0.0714173
+0.0716712
+0.0719909
+0.0723756
+0.0728241
+0.0733353
+0.073908
+0.0745407
+0.0752319
+0.0759799
+0.0767345
+0.0774242
+0.0778127
+0.0766861
+0.0752521
+0.0738552
+0.0724976
+0.0711816
+0.0699094
+0.0686836
+0.0675066
+0.0663811
+0.0653097
+0.0642951
+0.0633397
+0.0624344
+0.0615936
+0.0597608
+0.0575865
+0.0554134
+0.0532419
+0.0510719
+0.0489038
+0.0467378
+0.0445742
+0.0424134
+0.0402558
+0.038102
+0.0359527
+0.0338087
+0.031671
+0.0295412
+0.0274209
+0.0253126
+0.0232196
+0.0211463
+0.0190981
+0.0170666
+0.0150791
+0.0131549
+0.0113279
+0.00965349
+0.00814698
+0.00697026
+0.00635107
+0.00631617
+0.00548768
+0.00374194
+0.00256173
+0.00251343
+0.00361281
+0.00529472
+0.0048996
+0.00357576
+0.00301139
+0.00357331
+0.00500752
+0.00685422
+0.00881154
+0.0108517
+0.0125902
+0.0137515
+0.0151425
+0.0166838
+0.0183492
+0.0201156
+0.0219585
+0.0238603
+0.025808
+0.0277919
+0.0298047
+0.0318411
+0.0338967
+0.0359682
+0.0380531
+0.0396095
+0.0396792
+0.0398487
+0.0401358
+0.0405308
+0.0410251
+0.0735267
+0.0731982
+0.0729341
+0.072735
+0.0726015
+0.0725286
+0.0725144
+0.0725663
+0.0726843
+0.0728679
+0.0731168
+0.0734302
+0.0738074
+0.0742472
+0.0747487
+0.0753107
+0.0759317
+0.0766103
+0.077345
+0.0781343
+0.0789764
+0.0784011
+0.0769367
+0.0755075
+0.0741154
+0.0727627
+0.0714515
+0.0701843
+0.0689633
+0.0677912
+0.0666705
+0.0656038
+0.0645939
+0.0636429
+0.062742
+0.0619053
+0.0599119
+0.0577433
+0.0555764
+0.0534114
+0.0512486
+0.0490883
+0.0469308
+0.0447766
+0.042626
+0.0404798
+0.0383386
+0.0362033
+0.034075
+0.0319552
+0.0298456
+0.0277486
+0.0256673
+0.0236057
+0.0215697
+0.019556
+0.0175759
+0.015652
+0.0138072
+0.012056
+0.0104696
+0.0090923
+0.00805489
+0.00752593
+0.00749877
+0.00670607
+0.00532955
+0.00447899
+0.00444272
+0.00522178
+0.00656423
+0.00588724
+0.00484217
+0.00445028
+0.00492454
+0.00604833
+0.0076477
+0.00948601
+0.0114137
+0.0131485
+0.0142645
+0.0156098
+0.0171091
+0.0187367
+0.0204697
+0.0222834
+0.0241596
+0.0260849
+0.0280492
+0.0300448
+0.032066
+0.034108
+0.0361674
+0.0382415
+0.0403278
+0.040691
+0.0408549
+0.041135
+0.0415215
+0.0420041
+0.0750005
+0.0746785
+0.0744196
+0.0742245
+0.0740937
+0.0740223
+0.0740083
+0.0740592
+0.0741748
+0.0743548
+0.0745987
+0.0749059
+0.0752757
+0.075707
+0.0761989
+0.0767502
+0.0773597
+0.0780259
+0.0787474
+0.0795227
+0.0801992
+0.0787073
+0.0772487
+0.0758253
+0.0744392
+0.0730925
+0.0717873
+0.0705261
+0.0693112
+0.0681451
+0.0670303
+0.0659694
+0.0649651
+0.0640197
+0.0631242
+0.0622926
+0.0601425
+0.0579825
+0.0558248
+0.0536699
+0.051518
+0.0493695
+0.0472248
+0.0450846
+0.0429495
+0.0408203
+0.0386979
+0.0365836
+0.0344788
+0.0323854
+0.0303058
+0.028243
+0.026201
+0.0241849
+0.0221982
+0.0202395
+0.0183296
+0.0164755
+0.0147143
+0.0130834
+0.0116378
+0.0104162
+0.00952409
+0.00908112
+0.00905862
+0.00830491
+0.00720099
+0.00656287
+0.00652878
+0.0070996
+0.00816705
+0.00741008
+0.00657119
+0.00631797
+0.00666759
+0.00753927
+0.00887387
+0.0104999
+0.0123024
+0.0140305
+0.0150813
+0.0163596
+0.0177958
+0.0193658
+0.021047
+0.0228148
+0.0246507
+0.0265404
+0.0284733
+0.0304411
+0.0324375
+0.0344576
+0.0364973
+0.0385536
+0.0406239
+0.0417918
+0.0419515
+0.0422243
+0.0426009
+0.0430714
+0.0765086
+0.076193
+0.0759393
+0.0757481
+0.07562
+0.07555
+0.0755363
+0.0755862
+0.0756994
+0.0758758
+0.0761148
+0.0764159
+0.0767784
+0.0772014
+0.0776838
+0.0782247
+0.0788227
+0.0794766
+0.0801851
+0.0809467
+0.0805582
+0.079073
+0.0776213
+0.0762048
+0.0748258
+0.0734861
+0.0721881
+0.070934
+0.0697262
+0.0685671
+0.0674593
+0.0664053
+0.0654077
+0.0644688
+0.0635796
+0.0626031
+0.0604516
+0.058303
+0.0561577
+0.0540161
+0.0518785
+0.0497456
+0.0476179
+0.0454962
+0.0433813
+0.0412744
+0.0391766
+0.0370896
+0.0350152
+0.032956
+0.0309148
+0.0288954
+0.026903
+0.0249426
+0.0230056
+0.0211076
+0.0192717
+0.0175177
+0.0158725
+0.0143736
+0.0130622
+0.0119681
+0.0112002
+0.0108078
+0.010787
+0.0100969
+0.00919035
+0.0086994
+0.00866663
+0.00910944
+0.00996384
+0.00918232
+0.00849089
+0.00829751
+0.00856979
+0.00931114
+0.0104212
+0.0118366
+0.0134613
+0.0151789
+0.0161552
+0.0173545
+0.0187152
+0.0202139
+0.0218299
+0.023539
+0.0253224
+0.0271654
+0.0290568
+0.0309876
+0.0329509
+0.0349413
+0.0369543
+0.0389865
+0.041035
+0.0429763
+0.0431315
+0.0433969
+0.0437634
+0.0442216
+0.0780492
+0.0777398
+0.0774911
+0.0773038
+0.0771782
+0.0771096
+0.0770963
+0.0771451
+0.0772561
+0.0774289
+0.0776632
+0.0779583
+0.0783136
+0.0787283
+0.0792015
+0.079732
+0.0803188
+0.0809607
+0.0816563
+0.0824043
+0.0809748
+0.0794974
+0.0780536
+0.0766451
+0.0752741
+0.0739426
+0.0726527
+0.0714068
+0.0702072
+0.0690562
+0.0679563
+0.0669101
+0.0659202
+0.0649886
+0.0641067
+0.0629763
+0.0608381
+0.0587037
+0.0565736
+0.0544483
+0.0523284
+0.0502145
+0.0481076
+0.0460085
+0.0439183
+0.0418384
+0.0397704
+0.0377162
+0.0356783
+0.0336597
+0.0316638
+0.0296906
+0.0277414
+0.0258309
+0.0239642
+0.0221484
+0.0204065
+0.0187588
+0.0172325
+0.0158612
+0.014649
+0.0136823
+0.0130161
+0.0126675
+0.0126497
+0.0120097
+0.0112547
+0.0108575
+0.0108222
+0.0111874
+0.0118934
+0.011081
+0.010517
+0.0103623
+0.0105821
+0.011229
+0.0121679
+0.0134
+0.0148547
+0.0164731
+0.0174042
+0.0185228
+0.0198213
+0.0212548
+0.0227972
+0.0244387
+0.0261609
+0.0279487
+0.0297903
+0.0316764
+0.0335995
+0.0355536
+0.0375338
+0.0395362
+0.0415576
+0.0435954
+0.0443884
+0.0446463
+0.0450015
+0.0454471
+0.0796201
+0.0793169
+0.0790732
+0.0788896
+0.0787666
+0.0786994
+0.0786863
+0.0787341
+0.0788429
+0.0790122
+0.0792418
+0.0795311
+0.0798794
+0.080286
+0.08075
+0.0812705
+0.0818463
+0.0824762
+0.0831592
+0.0829477
+0.0814482
+0.0799796
+0.0785446
+0.0771451
+0.0757832
+0.0744608
+0.07318
+0.0719432
+0.0707527
+0.0696107
+0.0685197
+0.0674823
+0.0665009
+0.0655776
+0.0647036
+0.0634231
+0.0613005
+0.0591827
+0.0570705
+0.0549644
+0.0528652
+0.0507738
+0.048691
+0.0466182
+0.0445566
+0.0425079
+0.0404742
+0.0384576
+0.0364612
+0.0344801
+0.0325228
+0.0305971
+0.0287095
+0.0268679
+0.0250779
+0.023349
+0.0217036
+0.0201622
+0.0187505
+0.0174685
+0.0163757
+0.015517
+0.0149328
+0.0146192
+0.0146038
+0.0140038
+0.0133439
+0.0130058
+0.0129672
+0.013293
+0.0138339
+0.0130713
+0.0125984
+0.01247
+0.0126538
+0.0132016
+0.0140396
+0.01512
+0.016423
+0.0179001
+0.0188246
+0.0198635
+0.0210795
+0.022444
+0.0239264
+0.0254954
+0.0271506
+0.0288772
+0.0306631
+0.0324986
+0.0343758
+0.036288
+0.0382302
+0.040198
+0.0421877
+0.0441964
+0.0457132
+0.0459637
+0.0463085
+0.0467417
+0.0812198
+0.0809226
+0.0806838
+0.0805038
+0.0803833
+0.0803174
+0.0803046
+0.0803515
+0.080458
+0.080624
+0.080849
+0.0811325
+0.081474
+0.0818727
+0.0823278
+0.0828383
+0.0834033
+0.0840216
+0.084692
+0.0834675
+0.0819775
+0.0805185
+0.0790933
+0.0777037
+0.0763517
+0.0750393
+0.0737687
+0.0725419
+0.0713613
+0.0702292
+0.069148
+0.0681202
+0.067148
+0.0662338
+0.0653686
+0.0639419
+0.061837
+0.0597383
+0.0576465
+0.0555622
+0.0534865
+0.0514203
+0.0493648
+0.0473215
+0.045292
+0.0432782
+0.0412811
+0.0392965
+0.0373346
+0.0353995
+0.033496
+0.0316297
+0.0298075
+0.0280381
+0.0263272
+0.0246859
+0.0231358
+0.0216964
+0.0203691
+0.0191916
+0.0182025
+0.017434
+0.0169162
+0.0166305
+0.016617
+0.0160233
+0.0154456
+0.0151565
+0.0151254
+0.0154056
+0.0157812
+0.0151172
+0.0147115
+0.0146021
+0.0147599
+0.0152321
+0.0159891
+0.0169459
+0.0181181
+0.019467
+0.0203821
+0.0213452
+0.0224813
+0.0237654
+0.025175
+0.0266901
+0.0282757
+0.0299375
+0.0316637
+0.0334443
+0.0352712
+0.0371374
+0.0390373
+0.0409663
+0.0429204
+0.0448964
+0.0468915
+0.0473405
+0.0476803
+0.0481012
+0.0828466
+0.0825552
+0.0823211
+0.0821448
+0.0820266
+0.0819621
+0.0819495
+0.0819954
+0.0820999
+0.0822625
+0.082483
+0.082761
+0.0830958
+0.0834867
+0.083933
+0.0844339
+0.0849882
+0.0855951
+0.0855507
+0.0840411
+0.0825615
+0.081113
+0.0796985
+0.0783196
+0.0769784
+0.0756769
+0.0744171
+0.0732012
+0.0720314
+0.0709101
+0.0698394
+0.0688219
+0.0678598
+0.0669553
+0.0660995
+0.0645309
+0.0624459
+0.0603684
+0.0582991
+0.0562391
+0.0541893
+0.0521509
+0.0501254
+0.0481144
+0.0461159
+0.0441309
+0.0421663
+0.0402251
+0.0383108
+0.0364277
+0.0345808
+0.0327763
+0.0310215
+0.0293255
+0.0276937
+0.0261384
+0.0246796
+0.0233206
+0.0220832
+0.021002
+0.0201022
+0.0194091
+0.0189452
+0.0186822
+0.0186702
+0.018079
+0.017569
+0.0173166
+0.0172917
+0.0175373
+0.0177853
+0.0171988
+0.0168445
+0.0167493
+0.0168875
+0.0173018
+0.0179754
+0.0188493
+0.0199097
+0.0211447
+0.0220474
+0.0229408
+0.0240014
+0.0252082
+0.0265413
+0.0279825
+0.0295162
+0.0311162
+0.0327803
+0.0345034
+0.0362769
+0.0380939
+0.0399484
+0.0418354
+0.0437507
+0.0456908
+0.0476526
+0.0487768
+0.0491095
+0.0495204
+0.0844988
+0.0842131
+0.0839836
+0.0838108
+0.083695
+0.0836317
+0.0836194
+0.0836645
+0.0837668
+0.0839262
+0.0841424
+0.0844149
+0.0847431
+0.0851265
+0.0855643
+0.0860556
+0.0865996
+0.0871952
+0.0861662
+0.0846676
+0.0831991
+0.0817619
+0.0803588
+0.0789915
+0.0776619
+0.076372
+0.0751239
+0.0739196
+0.0727614
+0.0716514
+0.070592
+0.0695855
+0.0686341
+0.0677399
+0.0668942
+0.0651883
+0.063125
+0.0610705
+0.0590259
+0.0569921
+0.0549704
+0.0529621
+0.0509626
+0.0489781
+0.0470119
+0.0450664
+0.0431445
+0.0412493
+0.0393848
+0.0375556
+0.035767
+0.0340255
+0.0323386
+0.0307154
+0.0291609
+0.0276881
+0.0263058
+0.0250243
+0.0238754
+0.022879
+0.0220559
+0.0214261
+0.0209954
+0.0207551
+0.0207443
+0.0201631
+0.0197071
+0.0194828
+0.0194635
+0.019682
+0.0198288
+0.0193045
+0.0189906
+0.0189064
+0.0190294
+0.019398
+0.0200012
+0.0208092
+0.0217744
+0.0229091
+0.023798
+0.024628
+0.0256188
+0.0267528
+0.0280124
+0.0293816
+0.0308458
+0.032392
+0.0340016
+0.0356657
+0.0373841
+0.0391498
+0.0409565
+0.0427991
+0.0446731
+0.0465747
+0.0485008
+0.0502676
+0.0505904
+0.0509942
+0.086175
+0.0858949
+0.0856699
+0.0855005
+0.085387
+0.085325
+0.0853129
+0.0853571
+0.0854574
+0.0856137
+0.0858256
+0.0860927
+0.0864146
+0.0867906
+0.08722
+0.0877021
+0.0882359
+0.0883488
+0.0868326
+0.0853457
+0.0838891
+0.082464
+0.081073
+0.0797179
+0.0784006
+0.0771231
+0.0758873
+0.0746954
+0.0735494
+0.0724515
+0.071404
+0.070409
+0.0694683
+0.0685741
+0.0677385
+0.0659119
+0.063872
+0.0618424
+0.0598241
+0.0578171
+0.0558184
+0.0538346
+0.0518675
+0.0499189
+0.0479913
+0.0460872
+0.0442096
+0.0423622
+0.0405489
+0.0387746
+0.0370449
+0.0353663
+0.0337465
+0.0321944
+0.0307144
+0.0293144
+0.0279992
+0.0267988
+0.0257293
+0.0248075
+0.0240505
+0.0234693
+0.0230641
+0.0228452
+0.0228354
+0.0222677
+0.0218556
+0.0216537
+0.0216391
+0.0218358
+0.0219008
+0.0214273
+0.0211458
+0.0210704
+0.0211814
+0.0215131
+0.0220585
+0.0228022
+0.023695
+0.0247418
+0.0256067
+0.0263798
+0.0273072
+0.0283738
+0.0295644
+0.0308649
+0.0322618
+0.0337426
+0.0352917
+0.0369058
+0.0385769
+0.0402972
+0.0420546
+0.0438511
+0.0456819
+0.0475433
+0.0494316
+0.051344
+0.0521214
+0.052518
+0.0878706
+0.0875959
+0.0873753
+0.0872092
+0.0870979
+0.0870405
+0.0870286
+0.0870719
+0.0871703
+0.0873235
+0.0875312
+0.0877932
+0.0881089
+0.0884777
+0.0888989
+0.0893719
+0.0898959
+0.0890528
+0.0875488
+0.0860743
+0.0846302
+0.0832177
+0.0818396
+0.0804974
+0.0791931
+0.0779286
+0.0767058
+0.0755267
+0.0743935
+0.0733083
+0.0722732
+0.0712887
+0.070349
+0.0694656
+0.0686408
+0.0666997
+0.0646846
+0.0626779
+0.060681
+0.0586981
+0.0567304
+0.0547796
+0.0528477
+0.0509367
+0.0490491
+0.0471877
+0.0453557
+0.0435568
+0.0417954
+0.0400763
+0.0384053
+0.0367889
+0.0352345
+0.0337509
+0.0323387
+0.030997
+0.0297563
+0.0286297
+0.0276311
+0.0267749
+0.026075
+0.0255258
+0.0251532
+0.0249527
+0.0249436
+0.0243874
+0.0240118
+0.0238281
+0.0238174
+0.0239964
+0.023994
+0.0235625
+0.0233077
+0.0232394
+0.0233405
+0.023642
+0.0241393
+0.0248207
+0.0256589
+0.0266286
+0.02747
+0.0281921
+0.0290617
+0.0300661
+0.0311922
+0.0324274
+0.0337597
+0.0351775
+0.0366661
+0.0382222
+0.0398381
+0.0415067
+0.043222
+0.0449786
+0.0467717
+0.0485914
+0.0504405
+0.052316
+0.0536982
+0.0540877
+0.089584
+0.0893146
+0.0890983
+0.0889354
+0.0888262
+0.0887711
+0.0887652
+0.0888077
+0.0889041
+0.0890543
+0.0892581
+0.089515
+0.0898246
+0.0901864
+0.0905997
+0.0910639
+0.0913241
+0.0898047
+0.0883135
+0.086852
+0.085421
+0.0840219
+0.0826571
+0.0813285
+0.0800377
+0.0787867
+0.0775775
+0.0764119
+0.075292
+0.0742199
+0.0731946
+0.0722132
+0.0712856
+0.070414
+0.0695502
+0.067544
+0.065549
+0.0635669
+0.061599
+0.0596465
+0.0577112
+0.0557947
+0.0538992
+0.0520268
+0.0501802
+0.0483623
+0.0465766
+0.0448268
+0.0431172
+0.041453
+0.0398398
+0.038284
+0.0367929
+0.0353704
+0.0340072
+0.032734
+0.0315616
+0.0305017
+0.0295664
+0.0287678
+0.0281133
+0.0276029
+0.0272582
+0.0270733
+0.027037
+0.0265187
+0.0261737
+0.0260053
+0.0259978
+0.0261619
+0.0261031
+0.0257071
+0.0254745
+0.025412
+0.025505
+0.0257812
+0.026238
+0.0268662
+0.0276541
+0.0285588
+0.0293785
+0.0300548
+0.030872
+0.0318193
+0.0328854
+0.0340593
+0.0353301
+0.0366873
+0.0381169
+0.0396161
+0.0411773
+0.0427937
+0.0444594
+0.0461689
+0.0479176
+0.0497014
+0.0515165
+0.0533599
+0.0552235
+0.0556965
+0.0913179
+0.0910536
+0.0908414
+0.0906816
+0.0905746
+0.0905205
+0.0905193
+0.0905632
+0.0906577
+0.090805
+0.0910049
+0.0912569
+0.0915606
+0.0919155
+0.0923211
+0.0927767
+0.0921095
+0.0906033
+0.0891255
+0.0876775
+0.0862603
+0.084875
+0.0835242
+0.0822095
+0.0809328
+0.0796959
+0.0785006
+0.0773489
+0.0762428
+0.0751799
+0.0741601
+0.0731916
+0.0722766
+0.0714171
+0.0704213
+0.06844
+0.0664719
+0.0645182
+0.0625801
+0.0606593
+0.0587573
+0.0568761
+0.0550178
+0.0531848
+0.0513799
+0.049606
+0.0478667
+0.0461658
+0.0445077
+0.0428975
+0.0413407
+0.0398435
+0.0384123
+0.0370315
+0.0357318
+0.0345222
+0.0334127
+0.0324134
+0.0315348
+0.0307873
+0.0301714
+0.0296963
+0.0293758
+0.0292042
+0.0291392
+0.028659
+0.02834
+0.0281846
+0.0281799
+0.0283313
+0.0282246
+0.0278588
+0.027645
+0.0275875
+0.0276737
+0.0279284
+0.0283506
+0.028933
+0.0296661
+0.0305242
+0.031324
+0.0319591
+0.0327288
+0.0336238
+0.0346344
+0.0357509
+0.0369636
+0.0382629
+0.0396357
+0.0410795
+0.0425871
+0.044152
+0.0457682
+0.0474306
+0.0491344
+0.0508755
+0.0526502
+0.0544552
+0.0562876
+0.0573424
+0.093071
+0.0928117
+0.0926035
+0.0924468
+0.0923418
+0.0922887
+0.0922876
+0.0923373
+0.09243
+0.0925745
+0.0927705
+0.0930177
+0.0933157
+0.093664
+0.0940621
+0.0944598
+0.09294
+0.0914475
+0.0899836
+0.0885496
+0.0871466
+0.0857756
+0.0844391
+0.083139
+0.0818768
+0.0806543
+0.0794735
+0.0783361
+0.0772384
+0.0761832
+0.0751769
+0.0742218
+0.0733196
+0.0724725
+0.0713484
+0.0693936
+0.0674534
+0.0655289
+0.0636216
+0.0617332
+0.0598653
+0.0580201
+0.0561996
+0.0544065
+0.0526434
+0.0509136
+0.0492205
+0.047568
+0.0459606
+0.0444031
+0.0429009
+0.0414601
+0.0400672
+0.0387454
+0.0375051
+0.0363546
+0.0353026
+0.0343583
+0.0335308
+0.0328288
+0.0322469
+0.0318028
+0.0315033
+0.0313434
+0.0312536
+0.0308063
+0.0305098
+0.0303655
+0.0303631
+0.0304932
+0.030356
+0.0300162
+0.0298185
+0.0297652
+0.0298455
+0.0300819
+0.0304743
+0.0310168
+0.0317018
+0.0325182
+0.0332999
+0.033898
+0.0346246
+0.0354718
+0.0364313
+0.0374943
+0.0386523
+0.0398966
+0.0412151
+0.0426054
+0.0440608
+0.0455751
+0.0471426
+0.0487581
+0.0504171
+0.0521154
+0.0538492
+0.0556153
+0.0574107
+0.0590236
+0.0948423
+0.0945879
+0.0943836
+0.0942299
+0.0941269
+0.0940748
+0.0940737
+0.0941236
+0.0942199
+0.0943616
+0.0945539
+0.0947965
+0.0950889
+0.0954308
+0.0958215
+0.0953186
+0.0938128
+0.0923343
+0.0908847
+0.0894652
+0.0880773
+0.0867221
+0.0854005
+0.0841152
+0.0828679
+0.0816603
+0.0804942
+0.0793645
+0.0782766
+0.0772356
+0.0762432
+0.0753016
+0.0744125
+0.073578
+0.07233
+0.0704025
+0.0684908
+0.0665963
+0.0647205
+0.0628651
+0.0610319
+0.059223
+0.0574407
+0.0556875
+0.0539664
+0.0522803
+0.0506329
+0.0490281
+0.0474701
+0.0459638
+0.0445143
+0.0431117
+0.0417713
+0.0405052
+0.0393205
+0.0382246
+0.0372256
+0.0363313
+0.0355497
+0.0348863
+0.0343367
+0.03392
+0.033639
+0.0334893
+0.0333778
+0.0329594
+0.0326824
+0.0325477
+0.0325464
+0.032648
+0.0324953
+0.032178
+0.0319944
+0.0319447
+0.0320199
+0.0322404
+0.0326068
+0.0331144
+0.0337568
+0.0345265
+0.0353012
+0.0358659
+0.0365535
+0.037357
+0.0382691
+0.0392824
+0.0403893
+0.0415816
+0.0428482
+0.0441872
+0.0455922
+0.0470572
+0.0485769
+0.0501462
+0.0517607
+0.0534163
+0.0551092
+0.0568362
+0.0585941
+0.0603804
+0.0966308
+0.0963811
+0.0961807
+0.0960298
+0.0959287
+0.0958776
+0.0958766
+0.0959255
+0.0960245
+0.0961655
+0.0963542
+0.0965922
+0.0968792
+0.0972148
+0.0975983
+0.0962115
+0.0947199
+0.0932559
+0.0918208
+0.090416
+0.0890429
+0.0877031
+0.086398
+0.0851293
+0.0838986
+0.0827077
+0.081553
+0.080435
+0.0793618
+0.0783351
+0.0773569
+0.0764289
+0.0755532
+0.0747313
+0.0733639
+0.0714643
+0.0695818
+0.0677178
+0.065874
+0.064052
+0.0622538
+0.0604814
+0.0587373
+0.057024
+0.0553444
+0.0537016
+0.0520992
+0.050541
+0.0490311
+0.0475742
+0.0461633
+0.0448072
+0.0435191
+0.0423053
+0.0411724
+0.0401272
+0.0391767
+0.0383279
+0.0375879
+0.0369567
+0.0364384
+0.036046
+0.0357813
+0.0356406
+0.0355101
+0.0351171
+0.0348573
+0.034731
+0.0347104
+0.0348066
+0.034641
+0.0343436
+0.0341721
+0.0341256
+0.0341959
+0.0344024
+0.034746
+0.0352228
+0.0358275
+0.0365536
+0.0373238
+0.0378584
+0.0385103
+0.0392738
+0.0401425
+0.0411096
+0.0421685
+0.0433119
+0.0445293
+0.0458192
+0.0471756
+0.0485929
+0.050066
+0.0515901
+0.0531607
+0.054774
+0.0564262
+0.058114
+0.0598345
+0.0615848
+0.0984356
+0.0981905
+0.0979937
+0.0978456
+0.0977464
+0.0976963
+0.0976952
+0.0977433
+0.0978404
+0.0979834
+0.0981687
+0.0984023
+0.0986841
+0.0990135
+0.0986493
+0.0971457
+0.0956686
+0.0942193
+0.0927991
+0.0914093
+0.0900514
+0.0887268
+0.087437
+0.0861837
+0.0849683
+0.0837925
+0.0826531
+0.0815502
+0.0804919
+0.0794798
+0.0785159
+0.0776018
+0.0767394
+0.0759304
+0.074448
+0.0725767
+0.0707238
+0.0688908
+0.0670792
+0.0652908
+0.0635277
+0.0617918
+0.0600858
+0.0584121
+0.0567735
+0.0551734
+0.0536149
+0.052102
+0.0506387
+0.0492208
+0.047851
+0.046544
+0.0453054
+0.0441407
+0.0430561
+0.0420577
+0.0411518
+0.0403447
+0.0396423
+0.0390403
+0.03855
+0.0381793
+0.0379291
+0.0377964
+0.0376491
+0.0372786
+0.037034
+0.0369151
+0.0368776
+0.0369683
+0.036792
+0.0365121
+0.0363514
+0.0363077
+0.0363724
+0.0365666
+0.0368901
+0.0373395
+0.0379104
+0.0385974
+0.0393643
+0.0398715
+0.0404911
+0.0412179
+0.0420464
+0.0429707
+0.0439848
+0.0450822
+0.0462531
+0.0474962
+0.048806
+0.0501773
+0.0516051
+0.053085
+0.0546127
+0.0561843
+0.0577962
+0.0594452
+0.0611281
+0.0628424
+0.0916775
+0.0902184
+0.0887847
+0.0873765
+0.0860011
+0.0846601
+0.083355
+0.0820877
+0.0806877
+0.0793234
+0.0779968
+0.0767077
+0.0754429
+0.0741533
+0.0729067
+0.0716589
+0.0704385
+0.0692659
+0.0681436
+0.067074
+0.0660475
+0.0649618
+0.0639327
+0.0629624
+0.0620406
+0.0611683
+0.0602153
+0.0592591
+0.0583477
+0.0574952
+0.0567145
+0.0560087
+0.055333
+0.0547
+0.0536527
+0.052639
+0.0516958
+0.0508296
+0.0500409
+0.0493217
+0.0486904
+0.0481424
+0.0476387
+0.0472314
+0.0469229
+0.0466986
+0.0465731
+0.0465504
+0.0466308
+0.0468137
+0.0470733
+0.0473984
+0.0478218
+0.0483408
+0.0489474
+0.0496409
+0.0504201
+0.0512811
+0.0522199
+0.051921
+0.0512237
+0.050604
+0.0500213
+0.0495288
+0.0491212
+0.0487707
+0.0485054
+0.0482944
+0.0481661
+0.0481007
+0.048135
+0.0482688
+0.0484757
+0.0486649
+0.0484634
+0.0483604
+0.0483565
+0.0484438
+0.0486187
+0.0488911
+0.0492596
+0.0497088
+0.0496495
+0.0496867
+0.0498203
+0.0500495
+0.0503731
+0.0507891
+0.0512954
+0.0518894
+0.0525679
+0.0533279
+0.0541659
+0.0550784
+0.0560616
+0.057112
+0.0582258
+0.0593996
+0.0606299
+0.0619133
+0.0902038
+0.0887205
+0.0872669
+0.0858375
+0.0844371
+0.0830708
+0.0817403
+0.0804476
+0.0791502
+0.0777589
+0.0764052
+0.0750909
+0.0738183
+0.0725412
+0.0712664
+0.070037
+0.0687922
+0.067591
+0.0664404
+0.065343
+0.0643015
+0.0632473
+0.0621898
+0.061192
+0.0602432
+0.0593601
+0.0584731
+0.0574879
+0.0565608
+0.055681
+0.0548745
+0.0541447
+0.0534767
+0.0528215
+0.0519
+0.0508645
+0.0498878
+0.0489896
+0.0481703
+0.0474226
+0.0467658
+0.0462035
+0.0456815
+0.0452566
+0.0449345
+0.0447003
+0.0445691
+0.0445455
+0.0446295
+0.0448189
+0.0450735
+0.045413
+0.0458547
+0.0463957
+0.047025
+0.0477464
+0.0485561
+0.0494496
+0.0504225
+0.04989
+0.0491639
+0.048526
+0.0479257
+0.0474114
+0.0469937
+0.0466326
+0.046355
+0.046144
+0.0460118
+0.0459541
+0.04599
+0.04613
+0.0463469
+0.0466513
+0.0464411
+0.0463336
+0.0463296
+0.0464207
+0.0466031
+0.0468873
+0.0472714
+0.0475416
+0.04748
+0.0475189
+0.0476585
+0.0478981
+0.0482361
+0.0486704
+0.0491985
+0.0498174
+0.0505239
+0.0513141
+0.0521845
+0.053131
+0.0541496
+0.0552363
+0.0563872
+0.0575985
+0.0588665
+0.0601874
+0.0887597
+0.0872518
+0.0857734
+0.0843259
+0.0829014
+0.0815093
+0.080153
+0.0788342
+0.0775549
+0.0762253
+0.0748438
+0.0735017
+0.072201
+0.0709442
+0.0696565
+0.0683981
+0.067177
+0.0659464
+0.0647666
+0.0636403
+0.0625705
+0.0615601
+0.0604761
+0.0594496
+0.0584725
+0.0575623
+0.0566875
+0.0557466
+0.0548
+0.0538947
+0.0530611
+0.052306
+0.0516328
+0.0509679
+0.0501818
+0.0491232
+0.0481116
+0.0471796
+0.0463277
+0.0455498
+0.0448655
+0.0442791
+0.0437465
+0.0433026
+0.0429659
+0.0427209
+0.0425836
+0.0425588
+0.0426467
+0.0428411
+0.0430923
+0.0434472
+0.0439087
+0.0444711
+0.0451271
+0.0458784
+0.0467204
+0.0476483
+0.0486572
+0.0478731
+0.047116
+0.0464499
+0.0458391
+0.0453011
+0.0448637
+0.0444995
+0.0442086
+0.0439976
+0.043859
+0.0438118
+0.0438495
+0.0439963
+0.0442241
+0.0445401
+0.0444348
+0.0443224
+0.0443182
+0.0444135
+0.0446041
+0.044901
+0.0453019
+0.0453764
+0.0453125
+0.0453532
+0.0454995
+0.0457504
+0.0461041
+0.0465583
+0.0471101
+0.0477561
+0.0484926
+0.0493154
+0.0502204
+0.0512032
+0.0522594
+0.0533846
+0.0545746
+0.0558253
+0.0571326
+0.0584927
+0.0873072
+0.085814
+0.0843103
+0.0828373
+0.0813956
+0.0799774
+0.0785947
+0.0772493
+0.0759433
+0.0746787
+0.0733147
+0.071944
+0.0706147
+0.0693291
+0.068079
+0.0667908
+0.0655506
+0.0643343
+0.0631244
+0.0619683
+0.0608691
+0.05983
+0.0587941
+0.0577378
+0.0567312
+0.0557926
+0.0549236
+0.054038
+0.0530609
+0.0521393
+0.0512771
+0.0504953
+0.0497977
+0.0491421
+0.0485016
+0.0474095
+0.0463708
+0.0454031
+0.0445166
+0.0437065
+0.0429929
+0.0423806
+0.0418367
+0.0413723
+0.0410198
+0.040763
+0.0406192
+0.0405932
+0.0406854
+0.0408749
+0.0411324
+0.0415041
+0.0419869
+0.042572
+0.0432568
+0.04404
+0.0449165
+0.045881
+0.0467522
+0.0458722
+0.0450814
+0.0443849
+0.0437626
+0.0431987
+0.0427398
+0.04237
+0.0420656
+0.0418558
+0.04171
+0.0416713
+0.0417109
+0.0418653
+0.0421082
+0.0424364
+0.0424467
+0.0423291
+0.0423247
+0.0424244
+0.042624
+0.0429345
+0.0433536
+0.0432135
+0.0431473
+0.0431901
+0.0433437
+0.043607
+0.0439779
+0.0444539
+0.0450315
+0.0457069
+0.0464758
+0.0473337
+0.0482759
+0.0492975
+0.0503936
+0.0515596
+0.0527907
+0.0540826
+0.055431
+0.0568319
+0.0858523
+0.0843688
+0.0828793
+0.0813804
+0.0799135
+0.0784768
+0.0770671
+0.0756946
+0.0743613
+0.0730693
+0.0718198
+0.07042
+0.0690614
+0.0677463
+0.0664775
+0.0652176
+0.0639469
+0.062727
+0.0615164
+0.0603295
+0.0591999
+0.0581309
+0.0571217
+0.0560593
+0.0550221
+0.0540537
+0.0531581
+0.0522818
+0.0513564
+0.050418
+0.0495258
+0.048716
+0.0479925
+0.0473399
+0.0467088
+0.0457347
+0.0446633
+0.0436564
+0.0427381
+0.0418967
+0.0411517
+0.0405116
+0.0399558
+0.0394692
+0.0390995
+0.0388301
+0.0386791
+0.0386518
+0.0387486
+0.0389266
+0.0391969
+0.0395867
+0.0400927
+0.0407023
+0.041418
+0.0422353
+0.0431485
+0.0441516
+0.0448084
+0.0438893
+0.0430622
+0.0423325
+0.0416975
+0.0411053
+0.0406228
+0.0402457
+0.039925
+0.0397193
+0.0395657
+0.0395331
+0.0395764
+0.0397391
+0.0400004
+0.040342
+0.0404796
+0.0403562
+0.0403516
+0.0404562
+0.0406654
+0.0409908
+0.0412193
+0.0410534
+0.0409848
+0.0410299
+0.0411916
+0.0414685
+0.0418584
+0.0423582
+0.042964
+0.0436713
+0.0444755
+0.0453712
+0.0463533
+0.0474163
+0.0485549
+0.049764
+0.0510385
+0.0523737
+0.0537649
+0.0552081
+0.0844004
+0.0829355
+0.0814422
+0.079957
+0.0784635
+0.0770033
+0.0755722
+0.074172
+0.0728108
+0.0714908
+0.0702144
+0.068932
+0.0675434
+0.0661983
+0.0648992
+0.063649
+0.0623789
+0.0611277
+0.0599304
+0.0587267
+0.0575657
+0.0564658
+0.0554307
+0.0544119
+0.0533481
+0.0523488
+0.0514235
+0.050554
+0.0496814
+0.0487222
+0.0478108
+0.0469714
+0.0462206
+0.0455614
+0.0449232
+0.0441033
+0.0429961
+0.0419492
+0.0409926
+0.0401249
+0.0393464
+0.0386764
+0.0381079
+0.0375975
+0.0372092
+0.036926
+0.0367671
+0.0367384
+0.0368351
+0.0370054
+0.0372896
+0.0376992
+0.0382283
+0.0388661
+0.039615
+0.0404688
+0.0414209
+0.0424648
+0.0428883
+0.0419272
+0.0410606
+0.0402946
+0.039635
+0.0390197
+0.038511
+0.0381217
+0.03779
+0.0375749
+0.0374267
+0.0373922
+0.0374485
+0.0376203
+0.037902
+0.03821
+0.0385366
+0.038407
+0.0384021
+0.038512
+0.0387317
+0.0390732
+0.0390718
+0.0388968
+0.0388255
+0.0388731
+0.0390437
+0.0393358
+0.0397466
+0.0402726
+0.0409093
+0.0416516
+0.0424939
+0.0434306
+0.0444555
+0.0455628
+0.0467466
+0.0480013
+0.0493213
+0.0507017
+0.0521376
+0.0536146
+0.0829225
+0.0814905
+0.0800233
+0.0785288
+0.0770485
+0.0755609
+0.0741083
+0.0726836
+0.071294
+0.0699454
+0.0686402
+0.067381
+0.0660633
+0.0646873
+0.0633572
+0.062076
+0.0608467
+0.059566
+0.0583367
+0.0571629
+0.0559694
+0.0548375
+0.0537711
+0.0527571
+0.0517064
+0.050675
+0.0497188
+0.0488423
+0.0479601
+0.0470646
+0.046136
+0.0452656
+0.044486
+0.0437956
+0.043164
+0.0425062
+0.0413752
+0.0402888
+0.0392918
+0.0383941
+0.037582
+0.03688
+0.0362809
+0.0357444
+0.0353357
+0.0350533
+0.0348859
+0.0348523
+0.034933
+0.0351158
+0.0354152
+0.0358462
+0.0363991
+0.0370684
+0.0378529
+0.0387455
+0.039739
+0.0408259
+0.0409954
+0.0399888
+0.0390793
+0.0382736
+0.0375786
+0.036945
+0.0364074
+0.0359953
+0.0356617
+0.0354337
+0.0352937
+0.0352571
+0.0353281
+0.0355102
+0.0357448
+0.0360625
+0.0365091
+0.0364851
+0.03648
+0.0365957
+0.0368268
+0.0371858
+0.0369294
+0.0367442
+0.03667
+0.0367203
+0.0369009
+0.0372098
+0.0376438
+0.0381988
+0.0388694
+0.0396499
+0.0405339
+0.0415148
+0.0425859
+0.0437406
+0.0449723
+0.0462751
+0.047643
+0.0490706
+0.0505436
+0.0520593
+0.0814444
+0.0800322
+0.0785951
+0.0771185
+0.07563
+0.0741553
+0.0726745
+0.0712302
+0.0698129
+0.0684351
+0.0671006
+0.065812
+0.0645719
+0.0632162
+0.0618545
+0.0605414
+0.0592803
+0.058045
+0.0567828
+0.0555783
+0.0544146
+0.0532497
+0.0521508
+0.0511222
+0.0500964
+0.0490367
+0.0480479
+0.0471403
+0.0462786
+0.0454206
+0.0444901
+0.0436031
+0.0427933
+0.0420692
+0.041439
+0.040825
+0.0397945
+0.0386812
+0.0376417
+0.0367037
+0.0358647
+0.0351284
+0.0344886
+0.0339274
+0.0334966
+0.0331938
+0.033017
+0.0329814
+0.0330668
+0.0332631
+0.033579
+0.0340333
+0.034612
+0.0353152
+0.0361377
+0.0370717
+0.0381088
+0.0392409
+0.0391336
+0.0380778
+0.0371215
+0.0362724
+0.0355382
+0.0348845
+0.0343146
+0.0338771
+0.0335415
+0.0332989
+0.0331629
+0.0331239
+0.0332135
+0.0333853
+0.0335827
+0.0339206
+0.034395
+0.034595
+0.0345896
+0.0347119
+0.0349554
+0.0351255
+0.0347931
+0.0345965
+0.0345188
+0.0345723
+0.034764
+0.0350917
+0.0355516
+0.0361387
+0.0368469
+0.0376693
+0.0385987
+0.0396275
+0.0407483
+0.0419535
+0.0432363
+0.0445898
+0.0460078
+0.0474762
+0.0489888
+0.0505511
+0.0799849
+0.078562
+0.077158
+0.0757157
+0.0742293
+0.0727477
+0.0712793
+0.0698063
+0.0683699
+0.0669625
+0.065598
+0.0642793
+0.0630091
+0.0617877
+0.0603938
+0.0590483
+0.0577546
+0.0565154
+0.055272
+0.0540339
+0.0528576
+0.0517059
+0.0505735
+0.0495121
+0.0484911
+0.047443
+0.0464203
+0.0454802
+0.0446279
+0.043751
+0.0428928
+0.0419865
+0.0411475
+0.0403877
+0.0397309
+0.0391493
+0.038268
+0.0371333
+0.0360492
+0.0350686
+0.0341966
+0.0334235
+0.0327438
+0.0321571
+0.0317022
+0.031377
+0.0311899
+0.0311523
+0.0312426
+0.0314539
+0.0317878
+0.0322661
+0.0328737
+0.0336133
+0.0344765
+0.0354542
+0.0365373
+0.0377166
+0.0373075
+0.0361985
+0.0351912
+0.0342943
+0.0335168
+0.0328371
+0.0322349
+0.0317687
+0.0314309
+0.0311719
+0.0310391
+0.0309974
+0.0310993
+0.0312135
+0.0314244
+0.0317853
+0.0322853
+0.0327396
+0.0327339
+0.0328661
+0.0331232
+0.0330178
+0.0326639
+0.0324544
+0.032373
+0.03243
+0.0326343
+0.0329832
+0.0334721
+0.034095
+0.0348447
+0.0357133
+0.0366923
+0.037773
+0.0389472
+0.0402065
+0.0415432
+0.0429501
+0.044413
+0.045922
+0.0474842
+0.0490944
+0.0785561
+0.0771104
+0.0756959
+0.0743018
+0.0728543
+0.0713577
+0.0698839
+0.0684227
+0.0669585
+0.0655283
+0.0641351
+0.0627856
+0.0614846
+0.0602351
+0.0589783
+0.0575998
+0.0562728
+0.0550002
+0.0537749
+0.0525354
+0.0513248
+0.0501806
+0.0490433
+0.0479481
+0.0469292
+0.0458917
+0.0448406
+0.0438666
+0.0429824
+0.042125
+0.0412831
+0.0404089
+0.0395498
+0.0387572
+0.0380722
+0.0374754
+0.0368086
+0.0356361
+0.0345223
+0.0334971
+0.0325836
+0.0317714
+0.0310555
+0.0304414
+0.0299606
+0.0296109
+0.0294126
+0.0293727
+0.0294685
+0.0296962
+0.0300496
+0.0305515
+0.0311925
+0.031971
+0.0328773
+0.0339012
+0.0350323
+0.0361132
+0.0354952
+0.0343562
+0.0332931
+0.0323436
+0.031518
+0.0307943
+0.0301709
+0.0296723
+0.0293293
+0.0290544
+0.0289252
+0.0288805
+0.0289821
+0.0290444
+0.029271
+0.0296581
+0.0301855
+0.0308435
+0.030922
+0.0310651
+0.031337
+0.0309216
+0.0305434
+0.0303193
+0.0302335
+0.0302946
+0.0305132
+0.030886
+0.0314076
+0.0320706
+0.0328666
+0.033786
+0.0348192
+0.0359564
+0.0371879
+0.0385048
+0.0398985
+0.041355
+0.0428597
+0.0444215
+0.0460346
+0.0476938
+0.077163
+0.0756907
+0.0742495
+0.0728426
+0.0714639
+0.0700087
+0.0685058
+0.0670409
+0.065588
+0.0641272
+0.0627036
+0.0613252
+0.059993
+0.0587118
+0.0574856
+0.0561994
+0.0548384
+0.0535317
+0.052272
+0.0510753
+0.0498411
+0.0486621
+0.0475548
+0.0464347
+0.0453824
+0.0443465
+0.0433141
+0.0423051
+0.0413874
+0.0405522
+0.0396956
+0.0388575
+0.0379972
+0.0371843
+0.0364655
+0.0358441
+0.0353128
+0.0342047
+0.0330608
+0.0319984
+0.0310416
+0.0301879
+0.0294336
+0.0287854
+0.0282764
+0.0279051
+0.0276946
+0.0276522
+0.0277539
+0.0279996
+0.0283741
+0.0289012
+0.029578
+0.0303979
+0.0313498
+0.0324219
+0.0336028
+0.0339992
+0.0335255
+0.0325174
+0.0314331
+0.0304256
+0.0295465
+0.0287732
+0.0281189
+0.0275905
+0.0272213
+0.0269486
+0.0268237
+0.0267754
+0.0268115
+0.0268788
+0.0271235
+0.0275408
+0.0280997
+0.0288053
+0.0291623
+0.0293173
+0.0294033
+0.0288394
+0.0284336
+0.0281927
+0.028102
+0.0281677
+0.0284027
+0.0288029
+0.0293614
+0.0300696
+0.0309171
+0.0318929
+0.0329854
+0.0341836
+0.0354767
+0.0368548
+0.0383034
+0.039803
+0.0413642
+0.0429804
+0.0446456
+0.0463545
+0.0758077
+0.0743085
+0.0728399
+0.0714053
+0.0700098
+0.0686413
+0.0671709
+0.0656763
+0.0642215
+0.0627713
+0.0613162
+0.0599059
+0.0585436
+0.0572303
+0.0559717
+0.0547718
+0.0534523
+0.0521115
+0.0508191
+0.0495873
+0.0484001
+0.0471877
+0.0460449
+0.0449619
+0.0438761
+0.0428575
+0.0418337
+0.0407986
+0.0398463
+0.038994
+0.0381484
+0.0373257
+0.03651
+0.0356737
+0.0349138
+0.0342656
+0.0337297
+0.0328563
+0.0316645
+0.0305763
+0.0295814
+0.0286844
+0.0278895
+0.0272045
+0.0266653
+0.0262713
+0.0260476
+0.0260025
+0.0261107
+0.0263722
+0.0267696
+0.027327
+0.0280418
+0.0289054
+0.0299047
+0.0310268
+0.0322589
+0.0318956
+0.0313902
+0.0306364
+0.0295594
+0.0285469
+0.027608
+0.0267788
+0.0260745
+0.025527
+0.0251275
+0.0248574
+0.0247241
+0.0246853
+0.0246444
+0.0247177
+0.0249835
+0.025436
+0.0260311
+0.0267913
+0.0274645
+0.0276262
+0.027381
+0.0267746
+0.026337
+0.0260767
+0.0259804
+0.0260514
+0.0263053
+0.0267369
+0.0273377
+0.0280969
+0.0290021
+0.0300401
+0.0311976
+0.0324619
+0.0338209
+0.03526
+0.0367531
+0.0383134
+0.0399329
+0.0416047
+0.0433228
+0.0450819
+0.0744589
+0.0729659
+0.0714697
+0.070007
+0.0685831
+0.0672004
+0.0658404
+0.0643572
+0.062872
+0.061429
+0.0599768
+0.0585343
+0.0571393
+0.0557954
+0.0545038
+0.0532708
+0.0521008
+0.0507364
+0.0494191
+0.0481531
+0.0469536
+0.0457682
+0.0445891
+0.0434884
+0.0424246
+0.0413882
+0.040371
+0.0393394
+0.0383509
+0.0374645
+0.0366668
+0.0358513
+0.0350278
+0.0342259
+0.0334338
+0.0327563
+0.0321953
+0.0315753
+0.0303623
+0.0292256
+0.0282015
+0.0272742
+0.0264368
+0.0257132
+0.0251421
+0.0247238
+0.0244859
+0.024438
+0.024553
+0.024831
+0.0252526
+0.0258428
+0.0265975
+0.0275064
+0.0285548
+0.0297279
+0.0304941
+0.0298045
+0.029263
+0.0287993
+0.0276508
+0.0266333
+0.0257101
+0.0248175
+0.0240558
+0.0234671
+0.0230502
+0.022785
+0.0226394
+0.0226142
+0.022482
+0.0225622
+0.0228532
+0.0233384
+0.0239841
+0.0248071
+0.0257904
+0.0260084
+0.0253867
+0.0247315
+0.0242571
+0.0239742
+0.0238712
+0.0239484
+0.0242244
+0.0246924
+0.0253417
+0.026159
+0.0271289
+0.0282358
+0.0294643
+0.0307998
+0.0322266
+0.0337121
+0.0352708
+0.0368938
+0.0385729
+0.0403012
+0.0420726
+0.0438819
+0.0730878
+0.0716185
+0.0701412
+0.0686502
+0.0671976
+0.0657858
+0.0644176
+0.0630636
+0.0615709
+0.0600966
+0.0586571
+0.0572136
+0.0557856
+0.0544083
+0.0530857
+0.051819
+0.0506155
+0.0494202
+0.0480668
+0.0467769
+0.0455418
+0.0443799
+0.0431953
+0.0420582
+0.0410066
+0.0399665
+0.0389579
+0.0379434
+0.036925
+0.0360035
+0.0351945
+0.034397
+0.0335887
+0.0328477
+0.0320352
+0.0313275
+0.0307399
+0.0302886
+0.029143
+0.0279814
+0.0269101
+0.0259564
+0.0250819
+0.024328
+0.0237236
+0.0232798
+0.023027
+0.0229761
+0.0230984
+0.0233936
+0.0238407
+0.024465
+0.0252609
+0.0262162
+0.0273141
+0.0285276
+0.0284687
+0.0277287
+0.0271459
+0.026728
+0.0257871
+0.0246929
+0.0237508
+0.0228979
+0.0220701
+0.0214268
+0.0209843
+0.0207045
+0.0205707
+0.0204717
+0.0203256
+0.0204143
+0.0207354
+0.021258
+0.021965
+0.0228608
+0.0239242
+0.0243164
+0.0234276
+0.0227159
+0.0221984
+0.0218889
+0.0217781
+0.0218628
+0.0221647
+0.0226752
+0.0233807
+0.024264
+0.0253067
+0.0264899
+0.0277956
+0.0292063
+0.0306825
+0.0322388
+0.0338654
+0.0355526
+0.0372922
+0.0390771
+0.0409016
+0.0427604
+0.0717008
+0.0702628
+0.0687983
+0.0673374
+0.0658557
+0.0644146
+0.0630166
+0.0616648
+0.0603181
+0.0588152
+0.0573447
+0.0559192
+0.0544864
+0.0530755
+0.0517188
+0.0504207
+0.0491829
+0.0480132
+0.046778
+0.0454515
+0.0441936
+0.0429952
+0.0418537
+0.0406956
+0.0396079
+0.038614
+0.0375964
+0.0365832
+0.0355737
+0.0346195
+0.0337774
+0.0330154
+0.03223
+0.031457
+0.0307176
+0.0299753
+0.0293759
+0.0289033
+0.0280371
+0.0268408
+0.0257405
+0.0247419
+0.0238228
+0.0230378
+0.0224083
+0.0219405
+0.021672
+0.0216233
+0.0217572
+0.0220803
+0.0225534
+0.0232124
+0.0240498
+0.0250513
+0.0261858
+0.0274194
+0.0264696
+0.0256722
+0.0250415
+0.0245905
+0.0239766
+0.0227979
+0.021774
+0.0209179
+0.0201238
+0.0194193
+0.0189401
+0.0186481
+0.0185022
+0.0183368
+0.0181774
+0.0182765
+0.0186345
+0.0192021
+0.019982
+0.0209627
+0.0221176
+0.0224778
+0.0215131
+0.0207358
+0.0201676
+0.0198264
+0.0197062
+0.0197997
+0.0201326
+0.0206934
+0.021464
+0.022423
+0.0235474
+0.0248146
+0.0262036
+0.0276681
+0.0292207
+0.0308508
+0.0325468
+0.034299
+0.036099
+0.0379402
+0.0398167
+0.0417239
+0.0703548
+0.0688887
+0.0674619
+0.066003
+0.0645555
+0.0630896
+0.0616616
+0.0602794
+0.0589462
+0.0575872
+0.0560845
+0.0546283
+0.0532209
+0.051801
+0.05041
+0.0490775
+0.0478078
+0.0466036
+0.0454731
+0.0441951
+0.0429007
+0.0416798
+0.0405255
+0.039394
+0.0382836
+0.0372544
+0.0362977
+0.0352661
+0.0342984
+0.0333222
+0.0324464
+0.031698
+0.0309344
+0.0301523
+0.0294695
+0.0287086
+0.0280843
+0.0276202
+0.02706
+0.0258184
+0.0247002
+0.0236682
+0.0227057
+0.0218806
+0.021217
+0.0207406
+0.0204564
+0.0204048
+0.0205445
+0.0209119
+0.0214135
+0.0221065
+0.0229842
+0.0240159
+0.0251877
+0.0255157
+0.0245034
+0.0236397
+0.0229532
+0.0224603
+0.0221145
+0.02096
+0.0198422
+0.0189123
+0.0181534
+0.0174558
+0.0169213
+0.0166199
+0.0164655
+0.0162145
+0.0160407
+0.016153
+0.0165569
+0.0171796
+0.018047
+0.0191272
+0.0203864
+0.0206102
+0.0196564
+0.0188025
+0.0181739
+0.0177946
+0.017663
+0.0177673
+0.0181376
+0.018758
+0.0196049
+0.0206505
+0.0218661
+0.0232252
+0.0246744
+0.0262212
+0.0278546
+0.0295602
+0.0313262
+0.0331429
+0.0350024
+0.0368983
+0.0388253
+0.0407789
+0.0690516
+0.0675577
+0.0661021
+0.0646881
+0.063236
+0.0618013
+0.0603558
+0.058943
+0.0575788
+0.056267
+0.0548828
+0.0533939
+0.0519547
+0.0505684
+0.0491641
+0.0477968
+0.0464926
+0.0452562
+0.0440912
+0.0430063
+0.0416825
+0.0404263
+0.0392496
+0.0381477
+0.0370249
+0.0359768
+0.0350169
+0.0340392
+0.0330621
+0.0321086
+0.0312067
+0.0304278
+0.0297153
+0.0289506
+0.0282579
+0.0275561
+0.0269072
+0.0264224
+0.0260863
+0.024947
+0.0237878
+0.0227443
+0.0217524
+0.0208898
+0.0201938
+0.0197047
+0.0194059
+0.0193515
+0.0195032
+0.019876
+0.0204003
+0.0211397
+0.0220683
+0.0231319
+0.0243462
+0.0236601
+0.0225785
+0.0216381
+0.0208859
+0.020343
+0.0199921
+0.0191688
+0.0179698
+0.0169374
+0.0161034
+0.0154964
+0.0149301
+0.0146077
+0.0144721
+0.0141131
+0.0139208
+0.01405
+0.0144981
+0.0152038
+0.0161775
+0.0173743
+0.0187239
+0.018732
+0.0178617
+0.016932
+0.0162312
+0.0158053
+0.0156598
+0.0157773
+0.0161931
+0.0168852
+0.0178213
+0.0189654
+0.0202824
+0.02171
+0.0232477
+0.0248834
+0.0265991
+0.0283802
+0.0302152
+0.0320949
+0.0340118
+0.0359599
+0.0379346
+0.0399318
+0.0677648
+0.0662679
+0.0647879
+0.0633445
+0.061945
+0.060501
+0.0590811
+0.0576588
+0.0562635
+0.0549202
+0.0536328
+0.0522222
+0.0507498
+0.0493307
+0.0479693
+0.046584
+0.0452449
+0.0439741
+0.0427768
+0.0416577
+0.0405462
+0.0392537
+0.0380435
+0.0369196
+0.035836
+0.0347611
+0.033793
+0.0328925
+0.0319009
+0.0309873
+0.0300657
+0.0292565
+0.0285926
+0.0278577
+0.0271492
+0.0265132
+0.0258623
+0.0253575
+0.0250086
+0.0242388
+0.0230482
+0.0219696
+0.0209854
+0.0200898
+0.0193654
+0.0188546
+0.0185421
+0.0184851
+0.0186464
+0.0190334
+0.0195803
+0.0203495
+0.0213149
+0.0224147
+0.023176
+0.0218665
+0.0207064
+0.0196768
+0.0188466
+0.018243
+0.0178693
+0.0174134
+0.0161493
+0.0150209
+0.0140957
+0.013416
+0.0129819
+0.0126391
+0.0125165
+0.0120435
+0.0118267
+0.0119785
+0.0124824
+0.0132954
+0.0143988
+0.0157315
+0.0169734
+0.0169289
+0.0161366
+0.0151461
+0.0143599
+0.0138767
+0.013714
+0.0138481
+0.01432
+0.0150981
+0.0161383
+0.0173935
+0.0187888
+0.0203114
+0.0219473
+0.023673
+0.0254703
+0.0273251
+0.0292265
+0.0311658
+0.0331365
+0.0351332
+0.0371509
+0.0391867
+0.0664444
+0.0649968
+0.0635127
+0.0620489
+0.0606198
+0.0592369
+0.0578027
+0.0564
+0.055004
+0.0536292
+0.05231
+0.0510508
+0.0496124
+0.0481598
+0.0467648
+0.0454325
+0.0440707
+0.0427651
+0.0415341
+0.040383
+0.0393179
+0.0381708
+0.0369251
+0.0357704
+0.0346939
+0.033635
+0.0326339
+0.0317276
+0.0308338
+0.0299202
+0.0290224
+0.028207
+0.0275178
+0.0268744
+0.0261737
+0.0255972
+0.0249528
+0.0244342
+0.0240825
+0.0236774
+0.0224984
+0.0213921
+0.0204206
+0.0195043
+0.0187575
+0.0182295
+0.017906
+0.017847
+0.018014
+0.0184144
+0.0189791
+0.0197717
+0.020764
+0.0218915
+0.0215655
+0.0201515
+0.0188864
+0.0177692
+0.0168452
+0.0161671
+0.0157442
+0.0154479
+0.0143717
+0.0131614
+0.0121337
+0.0113559
+0.0109201
+0.0106876
+0.0106446
+0.0100256
+0.00977499
+0.00995819
+0.0105367
+0.0114883
+0.012749
+0.0142242
+0.0153364
+0.015228
+0.0145333
+0.013425
+0.012592
+0.0120382
+0.011854
+0.0120088
+0.0125501
+0.0134312
+0.0145906
+0.0159346
+0.0174312
+0.0190625
+0.0207968
+0.0226105
+0.024486
+0.02641
+0.0283727
+0.0303661
+0.0323839
+0.0344228
+0.0364793
+0.0385506
+0.0651704
+0.0636939
+0.0622595
+0.0607905
+0.0593413
+0.0579327
+0.0565689
+0.0551465
+0.0537637
+0.052398
+0.051047
+0.0497559
+0.0485293
+0.0470618
+0.0456332
+0.044267
+0.0429691
+0.0416363
+0.0403709
+0.0391871
+0.0380909
+0.0370589
+0.0358978
+0.0347088
+0.0335978
+0.032563
+0.0315845
+0.0306472
+0.0298416
+0.0289323
+0.0281021
+0.0272687
+0.0265667
+0.0259852
+0.0253332
+0.0247586
+0.0241868
+0.0236498
+0.0232939
+0.0231141
+0.0221105
+0.0210281
+0.0200395
+0.0191149
+0.0183734
+0.0178363
+0.0175071
+0.0174467
+0.0176329
+0.0180417
+0.0186177
+0.0194251
+0.0204342
+0.0215789
+0.0200652
+0.0185371
+0.0171533
+0.0159346
+0.0148973
+0.014126
+0.0136386
+0.0133343
+0.0126704
+0.0113605
+0.0102345
+0.00935539
+0.00883672
+0.00870761
+0.00870948
+0.00809797
+0.00779932
+0.00802773
+0.00870814
+0.0098382
+0.0112693
+0.0125277
+0.0138076
+0.0136347
+0.0131012
+0.0118598
+0.0109197
+0.0102893
+0.0100908
+0.0103079
+0.0109337
+0.0119347
+0.0131909
+0.0146402
+0.0162564
+0.0179945
+0.0198225
+0.0217178
+0.0236641
+0.0256478
+0.0276627
+0.0297026
+0.0317625
+0.0338389
+0.0359288
+0.0380301
+0.0639461
+0.0624407
+0.0609768
+0.0595576
+0.058106
+0.0566728
+0.0552882
+0.0539469
+0.0525386
+0.0511792
+0.0498483
+0.0485253
+0.0472667
+0.046042
+0.0445807
+0.0431812
+0.0418496
+0.0405926
+0.0392955
+0.0380783
+0.0369511
+0.03592
+0.0348755
+0.0337557
+0.0326123
+0.0315452
+0.030598
+0.0296893
+0.0288569
+0.0280789
+0.027241
+0.026469
+0.0257453
+0.0251796
+0.0246471
+0.0240744
+0.0235622
+0.0230281
+0.0226759
+0.0224975
+0.0219357
+0.0208622
+0.0198932
+0.0189614
+0.0182136
+0.0176717
+0.0173393
+0.0172784
+0.0174938
+0.0178931
+0.0184882
+0.019301
+0.0203185
+0.0204032
+0.0186764
+0.0170477
+0.0155318
+0.0141932
+0.0130267
+0.0121371
+0.0115647
+0.0112503
+0.0107441
+0.00964932
+0.00839328
+0.00742765
+0.00681057
+0.00653668
+0.00653561
+0.00629844
+0.00595182
+0.00623469
+0.0070876
+0.00841798
+0.00956133
+0.010759
+0.0121983
+0.0121968
+0.0118157
+0.0105203
+0.00944791
+0.00872571
+0.00849074
+0.00875323
+0.00948314
+0.0106226
+0.012001
+0.0135779
+0.0153066
+0.0171413
+0.0190496
+0.0210121
+0.0230159
+0.025051
+0.0271103
+0.0291888
+0.0312826
+0.0333888
+0.0355053
+0.0376302
+0.0627744
+0.0612402
+0.0597469
+0.0582977
+0.0568898
+0.0554646
+0.0540502
+0.0526889
+0.0513743
+0.0499868
+0.0486547
+0.0473641
+0.0460739
+0.0448528
+0.0436129
+0.0421813
+0.0408171
+0.0395273
+0.0383114
+0.0370659
+0.0359069
+0.0348472
+0.0338496
+0.0328396
+0.0317476
+0.0306504
+0.0296746
+0.0288326
+0.0280094
+0.0273019
+0.0265047
+0.0258025
+0.0250739
+0.0245079
+0.0240444
+0.023546
+0.0230433
+0.0225645
+0.0222221
+0.0220755
+0.0219405
+0.0209075
+0.0199506
+0.0190601
+0.0183164
+0.0177775
+0.0174472
+0.0173867
+0.0176007
+0.0179976
+0.0185894
+0.019398
+0.0204107
+0.0192768
+0.0174441
+0.0156976
+0.0140478
+0.0125519
+0.011272
+0.0102309
+0.00954304
+0.0092158
+0.0088784
+0.00777211
+0.0066408
+0.00554649
+0.00485402
+0.00438316
+0.00437856
+0.0047943
+0.00433083
+0.00471203
+0.00579361
+0.00671511
+0.00773967
+0.009138
+0.0107956
+0.0109613
+0.0105029
+0.00946402
+0.00826645
+0.00747353
+0.00720602
+0.00749669
+0.00833735
+0.00961356
+0.0111195
+0.0128041
+0.014621
+0.0165288
+0.0184994
+0.0205146
+0.0225626
+0.0246352
+0.0267266
+0.0288327
+0.0309506
+0.033078
+0.0352131
+0.0373547
+0.0615915
+0.0600868
+0.0585732
+0.0570942
+0.0556621
+0.0542662
+0.0528728
+0.0514804
+0.0501451
+0.0488301
+0.0474919
+0.0462
+0.0449469
+0.043692
+0.042508
+0.0412543
+0.0398783
+0.0385571
+0.0373096
+0.0361496
+0.0349689
+0.033878
+0.0328926
+0.0318988
+0.0309802
+0.0298896
+0.0288882
+0.0280225
+0.0273033
+0.0265729
+0.0259113
+0.0251925
+0.0245539
+0.0239912
+0.0236146
+0.0231962
+0.0227125
+0.0222827
+0.0219433
+0.0217949
+0.0216505
+0.0211805
+0.0202365
+0.0194072
+0.0186763
+0.0181482
+0.0178258
+0.0177665
+0.017976
+0.0183587
+0.0189452
+0.0197391
+0.0200448
+0.0183162
+0.0164129
+0.0145431
+0.0127683
+0.0111016
+0.00964648
+0.00846
+0.00761553
+0.00722945
+0.00699081
+0.00587606
+0.00480622
+0.00374161
+0.0029879
+0.00229667
+0.00228636
+0.00353934
+0.00336802
+0.00387155
+0.00417491
+0.00481397
+0.00611591
+0.00780055
+0.00968974
+0.0100045
+0.00948632
+0.00869988
+0.00750047
+0.00668018
+0.00641418
+0.00673647
+0.00766101
+0.00903328
+0.0106138
+0.0123646
+0.0142377
+0.0161907
+0.0181979
+0.0202432
+0.0223161
+0.0244096
+0.0265188
+0.0286403
+0.0307714
+0.0329104
+0.0350557
+0.0372063
+0.0603937
+0.0589192
+0.0574311
+0.0559506
+0.0544885
+0.0530766
+0.0516947
+0.0503223
+0.0489545
+0.0476481
+0.0463517
+0.0450465
+0.0437932
+0.0425808
+0.041365
+0.0402305
+0.0389946
+0.0376894
+0.0364121
+0.0352226
+0.0341219
+0.0330001
+0.0319892
+0.0310531
+0.0301408
+0.0292734
+0.0282501
+0.0273643
+0.0266297
+0.0259852
+0.0254062
+0.024762
+0.0242079
+0.0236468
+0.0232734
+0.0229564
+0.0225634
+0.0222144
+0.0218739
+0.021725
+0.0215802
+0.0215876
+0.0207389
+0.0199547
+0.0192426
+0.0187304
+0.0184497
+0.0183924
+0.0185703
+0.018958
+0.0195415
+0.0195754
+0.0187873
+0.0175057
+0.0155868
+0.013645
+0.0117432
+0.00992671
+0.0082673
+0.00687478
+0.00586458
+0.00536684
+0.00508146
+0.0041174
+0.00287382
+0.00185635
+0.00127687
+0.000548679
+0.00059101
+0.00238016
+0.0024545
+0.00229863
+0.00222477
+0.00324015
+0.00493401
+0.00689058
+0.00894777
+0.00937155
+0.00881307
+0.00805547
+0.00721105
+0.00643883
+0.00617262
+0.00656482
+0.0074976
+0.00887367
+0.0105012
+0.0122681
+0.014154
+0.0161171
+0.0181325
+0.0201844
+0.0222615
+0.0243586
+0.0264707
+0.0285947
+0.0307281
+0.032869
+0.0350161
+0.0371683
+0.0592172
+0.057747
+0.0562898
+0.0548218
+0.0533789
+0.0519369
+0.0505486
+0.0491823
+0.047833
+0.0464952
+0.0452239
+0.043952
+0.0426719
+0.0414651
+0.0403088
+0.0391437
+0.0380641
+0.0368569
+0.035627
+0.0344104
+0.0332935
+0.0322471
+0.0312118
+0.0302896
+0.0293784
+0.0285702
+0.0277707
+0.0268691
+0.0261205
+0.0255344
+0.024978
+0.0244855
+0.0239354
+0.0234946
+0.0231222
+0.0228971
+0.0226264
+0.0222863
+0.0219952
+0.0218471
+0.0217316
+0.0217513
+0.0214229
+0.0206957
+0.020033
+0.0195416
+0.0192616
+0.0192068
+0.0193792
+0.019777
+0.0195482
+0.0185426
+0.0177087
+0.0168908
+0.0149504
+0.013004
+0.0110538
+0.00912636
+0.00728691
+0.00568072
+0.0044336
+0.00376554
+0.00347915
+0.00257259
+0.00109156
+-4.34075e-05
+-0.000412643
+-0.000813675
+0.000405634
+0.000440725
+0.000394938
+0.000677468
+0.00101794
+0.00245671
+0.0044575
+0.00654984
+0.00868809
+0.00921689
+0.00859774
+0.00788475
+0.00735643
+0.00673362
+0.00658777
+0.00697862
+0.00789733
+0.0092336
+0.0108089
+0.0125325
+0.0143838
+0.0163193
+0.0183124
+0.0203462
+0.0224083
+0.0244928
+0.0265943
+0.0287092
+0.0308346
+0.0329686
+0.0351096
+0.0372564
+0.0580249
+0.0565839
+0.0551456
+0.0537103
+0.0522655
+0.0508624
+0.0494477
+0.0480874
+0.0467401
+0.0454187
+0.0441164
+0.0428865
+0.0416275
+0.0403924
+0.0392379
+0.0381464
+0.0370434
+0.0360209
+0.0348596
+0.0337211
+0.0325625
+0.0315031
+0.0305643
+0.0296298
+0.0287485
+0.0279331
+0.0272394
+0.0265459
+0.025788
+0.0251573
+0.0246678
+0.0242558
+0.0238462
+0.0234727
+0.0231278
+0.0229455
+0.0228035
+0.0225638
+0.0223179
+0.0221602
+0.0221002
+0.0221196
+0.0222368
+0.0216043
+0.0210172
+0.0205493
+0.0202788
+0.0202267
+0.0203923
+0.0197838
+0.0187418
+0.0176607
+0.0164478
+0.0154379
+0.0145921
+0.0126202
+0.0106984
+0.00878473
+0.00685421
+0.00511388
+0.00370061
+0.00270943
+0.00239739
+0.00154051
+-0.000102591
+-0.00180485
+-0.00219649
+-0.00259517
+-0.0014987
+-0.000809676
+0.000174104
+0.00127559
+0.00185253
+0.00307712
+0.00461384
+0.00587418
+0.00740892
+0.00919442
+0.00886322
+0.00826533
+0.00780982
+0.00757832
+0.00748443
+0.00789545
+0.00876259
+0.00998372
+0.0114773
+0.013135
+0.0149307
+0.016807
+0.0187484
+0.0207394
+0.022766
+0.0248204
+0.0268964
+0.0289892
+0.0310955
+0.0332127
+0.0353389
+0.0374726
+0.056892
+0.0554215
+0.0539999
+0.0525965
+0.0511885
+0.0497676
+0.0483912
+0.047031
+0.0456923
+0.04438
+0.0430919
+0.0418319
+0.040651
+0.0394051
+0.0382283
+0.0371358
+0.0361079
+0.0350776
+0.0341245
+0.0330267
+0.0319546
+0.0308743
+0.0299158
+0.0290905
+0.0282449
+0.0274264
+0.0267504
+0.026209
+0.0255775
+0.0249674
+0.0244782
+0.0241358
+0.0238522
+0.023586
+0.0233006
+0.0231336
+0.0231594
+0.023032
+0.0228356
+0.0226521
+0.0226699
+0.0226447
+0.0227271
+0.0226888
+0.0221545
+0.0217293
+0.021472
+0.0214228
+0.0204542
+0.0192063
+0.0179221
+0.0165284
+0.0152259
+0.0141411
+0.0132292
+0.0124504
+0.0106398
+0.00883546
+0.00698655
+0.00529301
+0.00395778
+0.00257572
+0.00193296
+0.00072797
+-0.00050575
+-0.00182473
+-0.00329106
+-0.00320367
+-0.00122303
+8.06013e-06
+0.000428207
+0.000795786
+0.00142207
+0.00179326
+0.00280323
+0.00443162
+0.00629977
+0.00828958
+0.00959095
+0.00905727
+0.00866683
+0.00855929
+0.00875022
+0.00916249
+0.00996797
+0.0110863
+0.0124658
+0.0140152
+0.0157106
+0.0175163
+0.0194014
+0.021345
+0.0233248
+0.0253339
+0.0273709
+0.02943
+0.0315069
+0.0335982
+0.0357015
+0.0378146
+0.0558221
+0.0543227
+0.0528716
+0.0514728
+0.0501055
+0.048729
+0.0473399
+0.0459881
+0.0446824
+0.0433858
+0.0421077
+0.0408676
+0.039658
+0.0385018
+0.0373078
+0.0362003
+0.0351813
+0.0342287
+0.0332846
+0.0323527
+0.0313932
+0.0303895
+0.0294151
+0.0285758
+0.0278531
+0.0270873
+0.0264032
+0.0258864
+0.0254336
+0.0249473
+0.0244798
+0.02418
+0.0239376
+0.0237948
+0.0236742
+0.0235098
+0.023549
+0.0236853
+0.0235182
+0.0233401
+0.0233399
+0.0233329
+0.0234128
+0.0236386
+0.0234064
+0.0230575
+0.0228136
+0.0214667
+0.0200904
+0.018527
+0.0170309
+0.0156123
+0.014238
+0.0130546
+0.0120727
+0.0112254
+0.0106078
+0.00868581
+0.00686333
+0.00532557
+0.00410034
+0.00264164
+0.00130644
+0.000227366
+-0.0013019
+-0.00261479
+-0.00353362
+-0.00270851
+-0.00165431
+-0.00204452
+-0.00171299
+-0.00129639
+-0.000676319
+-0.000253524
+0.00162792
+0.00367012
+0.00572838
+0.0078341
+0.00997649
+0.0102172
+0.00990156
+0.00989529
+0.0101458
+0.0106598
+0.0113781
+0.0124192
+0.0136763
+0.015137
+0.0167427
+0.0184476
+0.0202462
+0.0221157
+0.0240394
+0.0260055
+0.0280048
+0.0300247
+0.032063
+0.0341203
+0.0361932
+0.0382792
+0.054785
+0.0532913
+0.0518113
+0.0503831
+0.0490112
+0.0476739
+0.0463288
+0.0449946
+0.0436659
+0.0424018
+0.0411763
+0.0399343
+0.0387635
+0.0376139
+0.0364842
+0.0353578
+0.0343322
+0.0333986
+0.032525
+0.0316529
+0.0307791
+0.0299364
+0.0290408
+0.0281903
+0.0274886
+0.0268993
+0.0262344
+0.0257148
+0.0253738
+0.0249648
+0.0246645
+0.0243793
+0.0241773
+0.0241029
+0.0241022
+0.0240645
+0.0241028
+0.0242961
+0.0243527
+0.0241807
+0.0241688
+0.0242005
+0.0242776
+0.0244954
+0.0247118
+0.0243546
+0.0227754
+0.0211642
+0.0195382
+0.0179267
+0.0163758
+0.0149573
+0.013517
+0.0122637
+0.0112115
+0.0102948
+0.00951999
+0.00835021
+0.00643335
+0.00473885
+0.00339298
+0.00206546
+0.000923602
+-0.000173839
+-0.00170053
+-0.0033171
+-0.00298629
+-0.00243503
+-0.00261221
+-0.00273621
+-0.00298683
+-0.00276045
+-0.00128191
+0.00038199
+0.00194098
+0.00386442
+0.00583956
+0.00791581
+0.0100213
+0.0116768
+0.0114233
+0.0114197
+0.0117158
+0.0122364
+0.0129939
+0.0139169
+0.0151004
+0.0164431
+0.017946
+0.0195792
+0.0212839
+0.0230694
+0.0249196
+0.0268212
+0.0287639
+0.03074
+0.0327435
+0.0347695
+0.0368089
+0.0388619
+0.0537999
+0.0522908
+0.0508234
+0.0493666
+0.0479657
+0.0466256
+0.0453238
+0.0440159
+0.0427375
+0.0414452
+0.0402307
+0.0390713
+0.0378875
+0.0367961
+0.0357218
+0.0346266
+0.0335807
+0.0326225
+0.0317846
+0.031013
+0.0302189
+0.0294482
+0.0287338
+0.0279716
+0.0272642
+0.0267015
+0.0261918
+0.0256982
+0.0253576
+0.0251518
+0.0248663
+0.0247594
+0.0246105
+0.0244323
+0.0242666
+0.024264
+0.0244255
+0.0247524
+0.0252506
+0.0251731
+0.0251617
+0.025229
+0.0253029
+0.025512
+0.0256659
+0.0242528
+0.0225454
+0.0208562
+0.019173
+0.0175625
+0.0159964
+0.0145609
+0.0131256
+0.011831
+0.0107261
+0.0097537
+0.00876578
+0.00774819
+0.00659759
+0.00489632
+0.003479
+0.0022166
+0.000806479
+-0.000609723
+-0.00207286
+-0.00357455
+-0.00309228
+-0.00264608
+-0.00308225
+-0.00321051
+-0.00325472
+-0.00354611
+-0.00181169
+-0.000314773
+0.00124118
+0.00317983
+0.00525271
+0.00737104
+0.00949173
+0.0116384
+0.0130937
+0.0131134
+0.0134174
+0.0139299
+0.0146638
+0.0155776
+0.0166436
+0.017915
+0.0193107
+0.0208372
+0.0224738
+0.0241844
+0.0259553
+0.0277861
+0.0296657
+0.0315855
+0.0335384
+0.0352663
+0.0367998
+0.0383971
+0.0528405
+0.0513514
+0.0498644
+0.048428
+0.0469991
+0.0456306
+0.0443282
+0.0430683
+0.0418047
+0.0405843
+0.0393433
+0.0381877
+0.037095
+0.0359796
+0.0349625
+0.033942
+0.0329173
+0.0319663
+0.0311222
+0.030401
+0.0297065
+0.0289669
+0.0283382
+0.0277827
+0.0271992
+0.0266512
+0.0262048
+0.0258263
+0.0254874
+0.0251444
+0.0242794
+0.0235821
+0.023037
+0.0226596
+0.0224807
+0.0224992
+0.0226683
+0.0230262
+0.0235609
+0.0240121
+0.023925
+0.0239884
+0.0242021
+0.024601
+0.0251736
+0.0240441
+0.0223964
+0.0207128
+0.0190542
+0.0174328
+0.0159122
+0.0144683
+0.0130561
+0.0117703
+0.0106246
+0.00961501
+0.00846964
+0.00726627
+0.00621378
+0.00511584
+0.00354625
+0.00193188
+0.00032244
+-0.00104373
+-0.00265152
+-0.00366967
+-0.0030745
+-0.0033487
+-0.00378751
+-0.00383503
+-0.00433282
+-0.00445743
+-0.00236112
+-0.000388656
+0.000972869
+0.00291253
+0.00503696
+0.00718651
+0.00934915
+0.0115224
+0.0137012
+0.014937
+0.0152148
+0.0157179
+0.0164131
+0.017296
+0.0183191
+0.0194816
+0.0208103
+0.0222402
+0.0237805
+0.0254164
+0.0271287
+0.0288681
+0.0300974
+0.0314256
+0.0328464
+0.0343481
+0.0359208
+0.0375555
+0.0519328
+0.0504293
+0.0489764
+0.0475161
+0.0461137
+0.0447209
+0.0433912
+0.0421335
+0.0409233
+0.0397123
+0.0385469
+0.0373787
+0.0362681
+0.0352579
+0.034226
+0.0332749
+0.032326
+0.0314016
+0.0305606
+0.029857
+0.0292771
+0.0286276
+0.0280001
+0.0275242
+0.0271294
+0.0267466
+0.0263364
+0.0256892
+0.0246961
+0.0236128
+0.0226896
+0.0219469
+0.0213626
+0.0209659
+0.0207725
+0.0207943
+0.0209718
+0.0213735
+0.0219257
+0.0223596
+0.0222807
+0.0223757
+0.0225973
+0.023014
+0.0236273
+0.0239948
+0.0223435
+0.0207663
+0.0191653
+0.0175773
+0.016102
+0.0146878
+0.0133182
+0.0120604
+0.0109451
+0.00996796
+0.00862002
+0.00734123
+0.0059756
+0.00467375
+0.00357653
+0.00268524
+0.00107399
+-0.000719463
+-0.00249249
+-0.00258754
+-0.00237098
+-0.00324561
+-0.00402485
+-0.00476743
+-0.00517061
+-0.00466526
+-0.00257969
+-0.000639331
+0.0010192
+0.00296715
+0.0050857
+0.00723999
+0.0094092
+0.0115865
+0.013768
+0.0159521
+0.017095
+0.0175764
+0.0182204
+0.0190741
+0.0200552
+0.0211592
+0.0223887
+0.0237569
+0.0247134
+0.0257098
+0.0267545
+0.027918
+0.029181
+0.0305491
+0.0320088
+0.0335481
+0.0351476
+0.0368042
+0.0510069
+0.0495743
+0.0480969
+0.0466755
+0.0452582
+0.043893
+0.0425464
+0.041263
+0.0400583
+0.0389069
+0.0377584
+0.0366365
+0.0355415
+0.0345101
+0.03359
+0.0326372
+0.0317897
+0.0309367
+0.0301291
+0.0294152
+0.0288365
+0.0283537
+0.027822
+0.027352
+0.0270148
+0.0259508
+0.02488
+0.023947
+0.0231841
+0.0221892
+0.021204
+0.0204074
+0.0197894
+0.0193723
+0.0191628
+0.0191823
+0.0193746
+0.0197419
+0.020294
+0.0208059
+0.0207063
+0.0208134
+0.0210616
+0.021508
+0.022163
+0.022991
+0.0224836
+0.0209387
+0.0194711
+0.0179894
+0.0165508
+0.0151672
+0.0137407
+0.012447
+0.0111108
+0.010044
+0.00885647
+0.00779073
+0.00621204
+0.00470484
+0.0033784
+0.00194863
+0.000899299
+-0.000212675
+-0.0018681
+-0.00210616
+-0.00241075
+-0.00343586
+-0.00429491
+-0.00508033
+-0.00561503
+-0.00490261
+-0.00281342
+-0.000854293
+0.00123082
+0.00326169
+0.00524954
+0.00735355
+0.00949686
+0.0116578
+0.0138281
+0.0159382
+0.0180618
+0.0194751
+0.020104
+0.0208808
+0.0214647
+0.0219448
+0.0224549
+0.0231394
+0.0238964
+0.0248243
+0.0259029
+0.0270851
+0.0283857
+0.0297909
+0.0312864
+0.032847
+0.0344077
+0.0360341
+0.0501167
+0.0486704
+0.0472814
+0.0458552
+0.0444702
+0.0431015
+0.0417782
+0.0404924
+0.0392641
+0.0381222
+0.0370402
+0.0359656
+0.0348969
+0.0338875
+0.0329501
+0.0321202
+0.0312587
+0.0305304
+0.0297946
+0.0291318
+0.0285522
+0.0281079
+0.0277473
+0.0270417
+0.0256664
+0.0244048
+0.023279
+0.0222841
+0.0214622
+0.0208147
+0.0198387
+0.0189848
+0.0183433
+0.0179046
+0.0176783
+0.0176304
+0.0177872
+0.0181784
+0.0187765
+0.019347
+0.0192351
+0.0193367
+0.0196503
+0.0201281
+0.0208266
+0.0217058
+0.0222606
+0.0206986
+0.0192572
+0.0179576
+0.016382
+0.0148472
+0.0134539
+0.0120719
+0.0107765
+0.0097243
+0.00847522
+0.00728078
+0.00617789
+0.00512061
+0.00379653
+0.00219848
+0.000650135
+-0.000658153
+8.07705e-05
+-0.00027879
+-0.00109591
+-0.00254956
+-0.00420566
+-0.00547695
+-0.00624322
+-0.00509208
+-0.0030274
+-0.000991866
+0.00111566
+0.00326085
+0.00543654
+0.00741218
+0.00945445
+0.0115309
+0.013637
+0.0157662
+0.0179103
+0.0200644
+0.0208901
+0.0208158
+0.0209714
+0.021324
+0.0217716
+0.022361
+0.0231435
+0.0241004
+0.0251802
+0.026393
+0.0277262
+0.0291484
+0.0305843
+0.0321056
+0.0337007
+0.0353536
+0.0492738
+0.0478284
+0.0464142
+0.0450622
+0.0436975
+0.0423681
+0.0410527
+0.0397812
+0.0385781
+0.0374153
+0.0363474
+0.0353321
+0.0343189
+0.0333288
+0.0324178
+0.031594
+0.0308473
+0.030109
+0.0295152
+0.0289198
+0.0283641
+0.0279169
+0.027258
+0.0257127
+0.024266
+0.0229338
+0.0217412
+0.0206976
+0.0198097
+0.01913
+0.018589
+0.0176749
+0.0169955
+0.0165129
+0.0162527
+0.0161598
+0.0163308
+0.016756
+0.0174031
+0.0180217
+0.0178864
+0.0179819
+0.0182927
+0.0188524
+0.0196115
+0.0205409
+0.0216281
+0.0205313
+0.0190763
+0.0176022
+0.0160147
+0.0144271
+0.0129837
+0.011634
+0.0102759
+0.00921109
+0.00808484
+0.00677915
+0.0056411
+0.0043813
+0.00298883
+0.00196602
+0.000903733
+0.000711963
+0.000719555
+-0.000762441
+-0.000496825
+-0.00187148
+-0.00372772
+-0.00576142
+-0.00670543
+-0.00478652
+-0.00277176
+-0.000720533
+0.00134178
+0.00343206
+0.00559509
+0.00768687
+0.00967131
+0.0117094
+0.0137883
+0.0158972
+0.0180257
+0.0201675
+0.0204569
+0.020381
+0.0205399
+0.0207579
+0.0211495
+0.0217557
+0.0225593
+0.0235304
+0.0246299
+0.0258326
+0.0270906
+0.0284618
+0.0299307
+0.0314836
+0.03304
+0.0346502
+0.0484839
+0.0470268
+0.0456285
+0.04426
+0.0429519
+0.0416256
+0.040347
+0.0391324
+0.0379094
+0.0367764
+0.0357398
+0.0347586
+0.0337871
+0.0328196
+0.0319387
+0.0311622
+0.0304264
+0.0298218
+0.0292334
+0.0287785
+0.028341
+0.0277732
+0.0261009
+0.0245073
+0.0229863
+0.0215767
+0.0203045
+0.0191987
+0.0182687
+0.0175075
+0.0169078
+0.016538
+0.0157706
+0.0152346
+0.0149587
+0.0148313
+0.0150036
+0.0154404
+0.0161234
+0.0168164
+0.0166724
+0.0167704
+0.0171008
+0.0176921
+0.0184801
+0.0194728
+0.0206349
+0.0205947
+0.0190689
+0.0174458
+0.015922
+0.0143065
+0.012851
+0.0115505
+0.0101437
+0.00897406
+0.00769682
+0.00638385
+0.00529309
+0.00405071
+0.00278744
+0.00198342
+0.000309775
+0.00076682
+-0.000434352
+0.000395622
+0.000622024
+-0.00145256
+-0.0035512
+-0.00541844
+-0.00672339
+-0.0046469
+-0.00258933
+-0.000403545
+0.00163877
+0.00362865
+0.0057197
+0.00786517
+0.0100302
+0.0122044
+0.014278
+0.0163238
+0.018403
+0.0205054
+0.0202473
+0.0201686
+0.0201701
+0.0203383
+0.0207378
+0.0213557
+0.0221362
+0.0230544
+0.0240736
+0.0252293
+0.0265159
+0.0279153
+0.0293341
+0.0308268
+0.0323893
+0.0339604
+0.0477814
+0.0463023
+0.0448814
+0.0435244
+0.0422234
+0.0409674
+0.0396861
+0.0384694
+0.03734
+0.0362056
+0.0351543
+0.0342111
+0.0333136
+0.0324424
+0.0315504
+0.0307886
+0.0301375
+0.029539
+0.0290813
+0.0286457
+0.0283028
+0.0268064
+0.0250696
+0.0234088
+0.0218148
+0.0203303
+0.0189744
+0.0177857
+0.0167788
+0.0159744
+0.0153279
+0.0149276
+0.0147092
+0.014133
+0.0137689
+0.0136469
+0.0138167
+0.0142899
+0.0150253
+0.015824
+0.0156471
+0.0157269
+0.016078
+0.0166608
+0.0174879
+0.0185212
+0.0197444
+0.0208264
+0.0190594
+0.0173889
+0.0158458
+0.014422
+0.0129083
+0.0116127
+0.0102496
+0.00906385
+0.00780878
+0.00657283
+0.00561847
+0.00443141
+0.00357362
+0.00300099
+0.00193979
+0.0022472
+0.00169848
+0.00192422
+0.000868035
+-0.00114258
+-0.00329813
+-0.00540426
+-0.0064378
+-0.004318
+-0.00232752
+-0.000525378
+0.00149749
+0.00363839
+0.00581633
+0.0080011
+0.0101883
+0.0123767
+0.0145657
+0.0167444
+0.0188638
+0.0205226
+0.0201554
+0.0199598
+0.0198937
+0.0200558
+0.0204073
+0.0209465
+0.0216946
+0.0226042
+0.023629
+0.0247978
+0.0260256
+0.0273371
+0.0286838
+0.0301164
+0.0316358
+0.0332303
+0.0471127
+0.0456714
+0.0442302
+0.0428526
+0.0415377
+0.0402947
+0.0391146
+0.0378901
+0.0367555
+0.0357083
+0.0346953
+0.0337296
+0.0328629
+0.0320591
+0.0312995
+0.0305315
+0.0299046
+0.0294049
+0.0289574
+0.0286438
+0.0278299
+0.0259749
+0.0241761
+0.022447
+0.0208018
+0.0192412
+0.0178028
+0.0165301
+0.0154387
+0.0145578
+0.0138549
+0.013415
+0.0132721
+0.013295
+0.0128442
+0.0126798
+0.012825
+0.0133334
+0.014095
+0.0149162
+0.0147074
+0.0147991
+0.0151626
+0.0157739
+0.0166529
+0.0177401
+0.0190136
+0.020434
+0.0191925
+0.0175348
+0.0160057
+0.0146457
+0.0132452
+0.011986
+0.0107572
+0.00963412
+0.0084556
+0.00733928
+0.00649904
+0.00551692
+0.00504405
+0.00470355
+0.00405646
+0.00422634
+0.00364461
+0.00172603
+0.000115344
+-0.00130956
+-0.00343688
+-0.00550863
+-0.00622223
+-0.00411656
+-0.00200902
+1.74475e-06
+0.00186273
+0.00397396
+0.00613982
+0.00831868
+0.0105025
+0.0126544
+0.0148024
+0.0169613
+0.0191273
+0.0204764
+0.019979
+0.0197138
+0.0196469
+0.019811
+0.0201668
+0.0207123
+0.0214591
+0.0222541
+0.0231927
+0.0241869
+0.025332
+0.0266085
+0.0279876
+0.0294539
+0.0309799
+0.0325615
+0.0465161
+0.0450561
+0.0436443
+0.0422838
+0.0409507
+0.0396892
+0.0385111
+0.0374197
+0.0362702
+0.035217
+0.0342434
+0.0333676
+0.0324912
+0.031742
+0.0310385
+0.0304071
+0.0297775
+0.0292986
+0.0289702
+0.0286734
+0.0271815
+0.0252836
+0.0234319
+0.0216435
+0.0199355
+0.0183075
+0.0167889
+0.0154328
+0.0142728
+0.0133144
+0.0125499
+0.0120991
+0.0119091
+0.0121015
+0.0121473
+0.0119734
+0.012127
+0.0126266
+0.0134123
+0.0141115
+0.013975
+0.0141117
+0.0144684
+0.0151076
+0.0160232
+0.017171
+0.0184898
+0.0199391
+0.0195684
+0.0179454
+0.0164545
+0.0151349
+0.013875
+0.0126785
+0.0116017
+0.0105625
+0.00955341
+0.00855566
+0.00784677
+0.00712023
+0.00686508
+0.00665635
+0.00621184
+0.0054796
+0.00332892
+0.00129223
+-2.19792e-05
+-0.00149126
+-0.00358296
+-0.00571167
+-0.00586819
+-0.0038412
+-0.00165295
+0.000534826
+0.00238805
+0.00448747
+0.00663134
+0.00878697
+0.0108784
+0.0130015
+0.0151439
+0.0172984
+0.0194609
+0.0204725
+0.019975
+0.0197097
+0.0196428
+0.019765
+0.019991
+0.0204279
+0.0210219
+0.0216892
+0.0225397
+0.0235615
+0.0247301
+0.02598
+0.0273448
+0.0288047
+0.0303415
+0.0319548
+0.0459725
+0.0445375
+0.0431112
+0.0417485
+0.0404584
+0.039197
+0.0380037
+0.0369019
+0.0358686
+0.0348223
+0.0338641
+0.0329961
+0.0322386
+0.0314878
+0.0308578
+0.0302507
+0.0297892
+0.029333
+0.0290126
+0.0280846
+0.0264463
+0.0247403
+0.0228527
+0.0210241
+0.0192553
+0.0175718
+0.0160039
+0.0145749
+0.0133372
+0.0123095
+0.0114664
+0.0109821
+0.0107613
+0.0108881
+0.0112637
+0.011586
+0.0117447
+0.012234
+0.0128188
+0.0132767
+0.0132067
+0.0134062
+0.01391
+0.0146943
+0.015653
+0.0168261
+0.0181884
+0.0196618
+0.0201665
+0.0185959
+0.017161
+0.0158764
+0.0147873
+0.0136661
+0.0127516
+0.0118141
+0.0109835
+0.0100877
+0.00949391
+0.00895557
+0.00874457
+0.00871918
+0.00733589
+0.00518598
+0.00306576
+0.00112998
+-0.000152043
+-0.00174347
+-0.0038362
+-0.00596806
+-0.00521742
+-0.00328789
+-0.00112815
+0.000793461
+0.00266644
+0.00475972
+0.00689933
+0.00906336
+0.0112377
+0.0134174
+0.0156002
+0.0177849
+0.0199089
+0.0206662
+0.0201585
+0.0197435
+0.0195308
+0.0195627
+0.0198084
+0.0200653
+0.0205267
+0.0211564
+0.0219857
+0.0229925
+0.0241296
+0.025405
+0.0267991
+0.0282636
+0.0297841
+0.0313839
+0.045474
+0.0440276
+0.0426444
+0.0413071
+0.040003
+0.0387707
+0.0376016
+0.0365038
+0.0354908
+0.034504
+0.0335821
+0.0327492
+0.0319858
+0.0313431
+0.0307449
+0.0302278
+0.029766
+0.0294603
+0.0288525
+0.0270837
+0.0253808
+0.0237433
+0.0221916
+0.0205828
+0.0187744
+0.0170492
+0.0154361
+0.0139811
+0.0127141
+0.011561
+0.0106837
+0.0101224
+0.00983469
+0.00988516
+0.0103007
+0.0110261
+0.0112848
+0.011527
+0.0118658
+0.0121771
+0.0123035
+0.0127406
+0.0133818
+0.0142111
+0.0152533
+0.0165134
+0.0179513
+0.0194936
+0.0209147
+0.0194592
+0.0180715
+0.0168551
+0.0158495
+0.0148563
+0.0140243
+0.0132693
+0.0126334
+0.0118289
+0.0113267
+0.010894
+0.0107198
+0.00913563
+0.00708611
+0.00501726
+0.00284681
+0.00076434
+-0.000455372
+-0.00218851
+-0.00428867
+-0.00548205
+-0.00469661
+-0.00272658
+-0.000577458
+0.00132876
+0.00332047
+0.00542897
+0.00754058
+0.00958554
+0.0116637
+0.0137762
+0.0159098
+0.0180571
+0.0202137
+0.0207416
+0.0200664
+0.019614
+0.0193999
+0.0194153
+0.0194156
+0.0196063
+0.0200362
+0.0206795
+0.0215273
+0.0225295
+0.0236621
+0.0248959
+0.0262503
+0.0277082
+0.0292575
+0.0308846
+0.0450727
+0.0436129
+0.0422164
+0.0408855
+0.03963
+0.0384227
+0.0372613
+0.0361757
+0.0351879
+0.0342371
+0.033372
+0.0325524
+0.031855
+0.031237
+0.0307239
+0.0303021
+0.0298972
+0.0295784
+0.0280391
+0.0262278
+0.0244656
+0.0227617
+0.021138
+0.0195776
+0.0179941
+0.0165496
+0.0150984
+0.0135736
+0.0122525
+0.0111557
+0.0102785
+0.00954019
+0.00917433
+0.00919019
+0.00962499
+0.0101306
+0.0104012
+0.0105225
+0.0108981
+0.0113118
+0.0114483
+0.0119207
+0.0126677
+0.0136554
+0.0148689
+0.0162714
+0.0177655
+0.0193454
+0.0206397
+0.0205011
+0.0191889
+0.018048
+0.0171126
+0.0162542
+0.0154973
+0.0148877
+0.0144057
+0.0136997
+0.0132643
+0.0129133
+0.0107572
+0.00858564
+0.00642715
+0.00429214
+0.00220105
+0.000229308
+-0.000940697
+-0.00261684
+-0.00468965
+-0.00525967
+-0.00428851
+-0.00221399
+-0.000123329
+0.00174487
+0.00379959
+0.00594327
+0.00810523
+0.0101635
+0.0122677
+0.0143978
+0.0165069
+0.0185853
+0.0206869
+0.0206766
+0.0199993
+0.0195453
+0.0193011
+0.0191957
+0.0191485
+0.0193419
+0.0197765
+0.0204026
+0.0211514
+0.0220929
+0.0232036
+0.0244605
+0.0258139
+0.0272171
+0.0287114
+0.0302905
+0.0446915
+0.0432887
+0.0418984
+0.0405571
+0.0392912
+0.0381091
+0.0370191
+0.0359336
+0.0349443
+0.0340358
+0.0331967
+0.0324835
+0.031788
+0.0312266
+0.0307832
+0.0303903
+0.0301125
+0.0292541
+0.0273566
+0.0254991
+0.0236987
+0.0219506
+0.0202672
+0.0186528
+0.017016
+0.0154805
+0.0141097
+0.0129468
+0.0119857
+0.0109356
+0.0100368
+0.00926447
+0.008875
+0.00881341
+0.00913008
+0.00898248
+0.00924303
+0.00989175
+0.0102441
+0.0107365
+0.0108966
+0.0113017
+0.0120559
+0.0131026
+0.0143803
+0.0158362
+0.0172105
+0.0179027
+0.0186712
+0.0196416
+0.0204804
+0.0194155
+0.0185492
+0.0178124
+0.0171246
+0.0166376
+0.0162078
+0.0156537
+0.0140045
+0.012166
+0.0101049
+0.00810713
+0.00617859
+0.0040595
+0.00188915
+-0.000182033
+-0.0013807
+-0.00317137
+-0.00525157
+-0.0046916
+-0.00359216
+-0.00176066
+0.000223469
+0.00216022
+0.00422483
+0.00637087
+0.00853962
+0.0106924
+0.0128009
+0.0149331
+0.0170736
+0.0191704
+0.0212861
+0.0207481
+0.0200121
+0.0194634
+0.0191509
+0.0188838
+0.0188267
+0.0190119
+0.0194074
+0.020036
+0.0208026
+0.0217062
+0.0227709
+0.0239638
+0.0252906
+0.0267213
+0.0282418
+0.0298412
+0.0443826
+0.0429936
+0.0416489
+0.0403452
+0.0390724
+0.0378835
+0.0367868
+0.0357844
+0.0348316
+0.0339517
+0.0331254
+0.0324012
+0.0317912
+0.031309
+0.0308687
+0.0305762
+0.0303504
+0.0287666
+0.026836
+0.0249398
+0.0230958
+0.0212966
+0.0195721
+0.0178542
+0.0161689
+0.0146078
+0.0131847
+0.0119501
+0.0109467
+0.0102386
+0.00983687
+0.00937174
+0.00889931
+0.00878745
+0.00842286
+0.00820224
+0.00839771
+0.00904566
+0.00994325
+0.0104869
+0.0105677
+0.0109898
+0.0118043
+0.0128714
+0.0140167
+0.0146224
+0.0151707
+0.0159034
+0.0167579
+0.0177906
+0.0189711
+0.0203198
+0.0201222
+0.0194927
+0.0188663
+0.0184798
+0.0169437
+0.0149034
+0.0129124
+0.0109939
+0.0091587
+0.00736146
+0.00524648
+0.00319762
+0.00136884
+-0.000360007
+-0.00190433
+-0.00373768
+-0.00534584
+-0.00390061
+-0.00295707
+-0.00101658
+0.000787068
+0.00248287
+0.00455003
+0.00669503
+0.00885068
+0.011016
+0.0131897
+0.0153682
+0.0175497
+0.0197025
+0.0217866
+0.02082
+0.0200089
+0.0193605
+0.0188996
+0.0186745
+0.0186168
+0.0188157
+0.0192065
+0.0197019
+0.0204215
+0.0213012
+0.0223583
+0.0235721
+0.0249195
+0.0263493
+0.0278743
+0.0294833
+0.0440271
+0.0427522
+0.0414416
+0.0401629
+0.0389556
+0.0377707
+0.0366707
+0.0356713
+0.0347457
+0.0339284
+0.0331804
+0.0324566
+0.0318477
+0.0313803
+0.0310607
+0.0308018
+0.0304182
+0.02844
+0.0264869
+0.0245638
+0.022689
+0.0208534
+0.019061
+0.0172421
+0.0155196
+0.0138898
+0.0124156
+0.0111425
+0.0101123
+0.00940854
+0.00889305
+0.00873235
+0.00888765
+0.00859701
+0.00811417
+0.00775661
+0.00789468
+0.00838427
+0.00919552
+0.00964592
+0.0102388
+0.0101777
+0.0105375
+0.0112862
+0.0121553
+0.0125435
+0.0131785
+0.0139546
+0.0149191
+0.0160255
+0.0173266
+0.0187488
+0.020089
+0.0206309
+0.0197233
+0.0180638
+0.0160731
+0.0141417
+0.0120909
+0.0100203
+0.00801399
+0.00611018
+0.00441316
+0.00273989
+0.000634549
+-0.00127531
+-0.00266321
+-0.00444363
+-0.0047922
+-0.00340942
+-0.00254975
+-0.000837065
+0.000940898
+0.00300069
+0.00515417
+0.00732974
+0.00936685
+0.0114486
+0.0135647
+0.0157013
+0.017851
+0.0200089
+0.0217576
+0.0207527
+0.0199389
+0.0193028
+0.0188404
+0.0185992
+0.0185413
+0.0186814
+0.0189371
+0.0194212
+0.0201032
+0.0209927
+0.0220546
+0.0232682
+0.0245862
+0.0259838
+0.0274763
+0.0290512
+0.0437031
+0.0424452
+0.0412638
+0.0400401
+0.0388628
+0.0377329
+0.036648
+0.0356481
+0.0347576
+0.0339587
+0.0332665
+0.0326318
+0.0320542
+0.0315898
+0.0312723
+0.0311049
+0.0302685
+0.0282798
+0.0263161
+0.0243757
+0.0224664
+0.0206117
+0.0186969
+0.0168496
+0.0150943
+0.0134307
+0.0119003
+0.0106042
+0.00956562
+0.00884226
+0.0083103
+0.0081179
+0.00804862
+0.00769775
+0.00780946
+0.00766853
+0.00763203
+0.00787019
+0.00838659
+0.00882188
+0.00841946
+0.00828523
+0.00861631
+0.00945699
+0.0100245
+0.01051
+0.0112057
+0.0120889
+0.013145
+0.0143779
+0.0157772
+0.0173096
+0.0183237
+0.0189163
+0.0185322
+0.0170301
+0.0152313
+0.0131771
+0.0111748
+0.00925816
+0.00729934
+0.00516673
+0.00311578
+0.00132927
+-5.07763e-05
+-0.00135591
+-0.00313807
+-0.0050153
+-0.00442776
+-0.00300683
+-0.00207745
+-0.000408273
+0.0016338
+0.00351414
+0.00559889
+0.00772614
+0.00987102
+0.0119996
+0.0141402
+0.0162878
+0.018369
+0.0204731
+0.0218756
+0.0208764
+0.0200675
+0.0193738
+0.0188641
+0.018584
+0.0185206
+0.018537
+0.0187946
+0.0192766
+0.0199635
+0.0207691
+0.0217533
+0.0228953
+0.0241821
+0.025592
+0.0271058
+0.0287011
+0.0434615
+0.0422101
+0.0410235
+0.0399109
+0.0388357
+0.0377477
+0.0366976
+0.035751
+0.0348716
+0.0340763
+0.0333856
+0.0327818
+0.0322652
+0.031891
+0.0316099
+0.0314252
+0.0302492
+0.0282604
+0.0263033
+0.0243481
+0.0224364
+0.0204886
+0.0185612
+0.0166988
+0.0149259
+0.0132437
+0.0117041
+0.0104006
+0.0093424
+0.00855223
+0.00806465
+0.00783522
+0.00760697
+0.00729045
+0.00742748
+0.00782728
+0.00753243
+0.00744141
+0.00772708
+0.00687316
+0.00632729
+0.00618127
+0.006625
+0.00748995
+0.00790934
+0.00853411
+0.009325
+0.0103311
+0.0115016
+0.0128538
+0.0143786
+0.0160049
+0.0166597
+0.0172735
+0.0174015
+0.0159383
+0.0141707
+0.0123398
+0.0103981
+0.00830414
+0.0062766
+0.0044076
+0.00280005
+0.000701427
+-0.00121552
+-0.00240778
+-0.00404543
+-0.00497348
+-0.00398777
+-0.00266848
+-0.00149735
+0.00026387
+0.00212028
+0.0041273
+0.00611788
+0.00811013
+0.0101744
+0.0122825
+0.0144153
+0.0165632
+0.018721
+0.0208856
+0.0221822
+0.0211211
+0.0202303
+0.0194797
+0.0188747
+0.0185068
+0.0183478
+0.0184448
+0.0186861
+0.019145
+0.0197338
+0.0205233
+0.0215079
+0.022662
+0.0239614
+0.0253521
+0.0268301
+0.0284003
+0.0431495
+0.0419947
+0.0408976
+0.0397787
+0.0387283
+0.0377732
+0.0368335
+0.0358914
+0.0350607
+0.0343056
+0.0336381
+0.0330765
+0.0325645
+0.0321938
+0.0319693
+0.0318471
+0.0303853
+0.028406
+0.0264597
+0.024517
+0.0225646
+0.0205943
+0.0186732
+0.0168181
+0.0150535
+0.0133629
+0.0118373
+0.0105486
+0.00950881
+0.00881375
+0.00829706
+0.00811584
+0.0077401
+0.00743107
+0.00751521
+0.0078563
+0.00767933
+0.00725455
+0.00611857
+0.00506955
+0.00431198
+0.00412484
+0.00475893
+0.0053212
+0.00580366
+0.00659724
+0.0075344
+0.00871973
+0.0100188
+0.011517
+0.0131638
+0.0146982
+0.0151165
+0.0156519
+0.0162223
+0.0149233
+0.0131762
+0.0111977
+0.00930497
+0.00754201
+0.00564128
+0.00349619
+0.00138112
+-9.63686e-05
+-0.00137281
+-0.00291397
+-0.00482215
+-0.00515202
+-0.00373032
+-0.0023812
+-0.00100465
+0.000744886
+0.00250318
+0.0045209
+0.00661831
+0.00876118
+0.0109132
+0.012905
+0.0149492
+0.0170299
+0.0191351
+0.0212577
+0.0224157
+0.0213549
+0.0203576
+0.0195353
+0.0189315
+0.018524
+0.0183651
+0.0184035
+0.0185633
+0.018975
+0.0195418
+0.0203191
+0.0212944
+0.0224253
+0.0236882
+0.025074
+0.0265675
+0.0281523
+0.0429472
+0.0417868
+0.0407114
+0.0397277
+0.0387183
+0.0377635
+0.0368997
+0.0361388
+0.0353155
+0.0345996
+0.0339516
+0.0334208
+0.0330069
+0.0326412
+0.0324198
+0.0323277
+0.0306776
+0.0287185
+0.0267831
+0.0248209
+0.0228351
+0.0208904
+0.0189992
+0.0171794
+0.0154558
+0.0138161
+0.0123338
+0.0110662
+0.0100846
+0.00939727
+0.00898419
+0.00876529
+0.00835285
+0.00808962
+0.00806533
+0.00829343
+0.00757692
+0.00607655
+0.00464964
+0.00338933
+0.00241198
+0.00214918
+0.00294028
+0.00316716
+0.00379109
+0.00479747
+0.00595242
+0.00731795
+0.00877668
+0.0104062
+0.0121836
+0.0131513
+0.0136814
+0.0141528
+0.0145258
+0.0137658
+0.01238
+0.0103429
+0.00831029
+0.0063211
+0.00449056
+0.00283544
+0.00100318
+-0.000933681
+-0.00256378
+-0.00373011
+-0.00536284
+-0.00480666
+-0.0033979
+-0.00179744
+-0.000116267
+0.00116449
+0.0030542
+0.00515472
+0.00717715
+0.00922324
+0.0113086
+0.0134178
+0.0155495
+0.0176957
+0.0197846
+0.0218441
+0.0227057
+0.0215302
+0.0205168
+0.019654
+0.0189619
+0.0184996
+0.0182897
+0.0182831
+0.0184698
+0.018858
+0.0194283
+0.02021
+0.0211903
+0.0223035
+0.0235368
+0.0248981
+0.0263663
+0.0279293
+0.0428361
+0.0416932
+0.0406152
+0.0396291
+0.038742
+0.0378421
+0.0369949
+0.0362359
+0.0355957
+0.0349622
+0.0343804
+0.0338564
+0.0334679
+0.0332183
+0.0330098
+0.0329225
+0.0311218
+0.0291872
+0.0272431
+0.0252578
+0.0233093
+0.0214077
+0.0195666
+0.0177982
+0.0160979
+0.0145292
+0.0131204
+0.0119366
+0.0110216
+0.010322
+0.0099441
+0.00985513
+0.00937971
+0.00913469
+0.00902836
+0.008646
+0.00686072
+0.00509798
+0.00337679
+0.00190849
+0.000682604
+0.000184894
+0.000817468
+0.00108257
+0.00199156
+0.00326434
+0.0046118
+0.0061857
+0.00787274
+0.00964585
+0.0112437
+0.0115969
+0.0121131
+0.0127751
+0.0129556
+0.0121346
+0.0114023
+0.00946368
+0.00750149
+0.00557089
+0.00348871
+0.00156995
+-4.27875e-05
+-0.00153664
+-0.00298948
+-0.00486335
+-0.00584103
+-0.00445154
+-0.00277578
+-0.00116006
+0.000432261
+0.00180257
+0.00365751
+0.00570451
+0.00779602
+0.00975445
+0.0117812
+0.0138434
+0.0159359
+0.0180516
+0.0201834
+0.0223266
+0.0228566
+0.0216908
+0.0206455
+0.0197466
+0.0190282
+0.0185423
+0.0183016
+0.0183032
+0.0185099
+0.0188305
+0.0193422
+0.0200812
+0.0210235
+0.0221275
+0.0233701
+0.0247189
+0.0261767
+0.027731
+0.0428138
+0.0416732
+0.0406075
+0.0396213
+0.0387339
+0.0379524
+0.037195
+0.0364645
+0.0358285
+0.035317
+0.0348433
+0.0343906
+0.0340259
+0.0337817
+0.0336685
+0.0336389
+0.0317114
+0.029784
+0.0278149
+0.0258734
+0.023975
+0.0221307
+0.0203383
+0.0186119
+0.016993
+0.0155151
+0.0142044
+0.0130825
+0.0122222
+0.0115921
+0.011254
+0.0112026
+0.0107284
+0.0104207
+0.0101602
+0.00811416
+0.00616835
+0.0042301
+0.00246325
+0.00072717
+-0.000842431
+-0.0015273
+-0.00129666
+-0.000760645
+0.000608758
+0.00200894
+0.0036759
+0.00534066
+0.00716791
+0.0091296
+0.00975193
+0.0101634
+0.0107067
+0.0114068
+0.0115885
+0.0106853
+0.0099277
+0.00856922
+0.00657573
+0.00462161
+0.00269313
+0.000972625
+-0.000546745
+-0.00246754
+-0.00396268
+-0.00553831
+-0.00536436
+-0.00390501
+-0.00237753
+-0.000542824
+0.00114063
+0.00282037
+0.00440566
+0.00629316
+0.0083108
+0.0102875
+0.0123102
+0.0143777
+0.016477
+0.0185967
+0.0206812
+0.0227776
+0.0230421
+0.0218849
+0.0208047
+0.0199078
+0.019213
+0.0187083
+0.0184516
+0.018433
+0.0185295
+0.0187957
+0.0192907
+0.0199851
+0.0208873
+0.0219555
+0.0231637
+0.0245086
+0.0259689
+0.0275262
+0.0429036
+0.0417653
+0.0407017
+0.0397178
+0.0388327
+0.0380532
+0.0373841
+0.0367798
+0.0361926
+0.0356864
+0.0353091
+0.0349561
+0.0346336
+0.0344477
+0.0343709
+0.0343118
+0.0324082
+0.0304725
+0.0285437
+0.0266554
+0.0248043
+0.0230079
+0.0212806
+0.0196373
+0.0181103
+0.0167312
+0.0154893
+0.0144643
+0.0136584
+0.0130893
+0.0128033
+0.0127619
+0.0122722
+0.0118985
+0.010018
+0.007967
+0.00590738
+0.00381
+0.00176078
+1.10963e-06
+-0.00177266
+-0.00350505
+-0.00336625
+-0.00181057
+-0.000204802
+0.00156626
+0.00327682
+0.00504738
+0.00691537
+0.00836409
+0.00844829
+0.0088774
+0.00942745
+0.0102082
+0.0105042
+0.00950136
+0.00842288
+0.00732547
+0.00593907
+0.00392164
+0.00202129
+0.00038315
+-0.00141405
+-0.00334189
+-0.00488317
+-0.00625669
+-0.00458055
+-0.00299131
+-0.00145558
+0.000166473
+0.00195127
+0.0038827
+0.00520958
+0.00692236
+0.00882718
+0.0108403
+0.0128963
+0.0149858
+0.0170299
+0.0190961
+0.0211809
+0.0232852
+0.0233454
+0.022227
+0.0211642
+0.0202832
+0.0195823
+0.0190369
+0.0186839
+0.0185219
+0.0185194
+0.0187363
+0.0192022
+0.0198998
+0.0208056
+0.0218762
+0.0230886
+0.0244376
+0.0259018
+0.027463
+0.043084
+0.0419717
+0.0409132
+0.0399345
+0.0390543
+0.0382793
+0.0376142
+0.0370392
+0.0365866
+0.0361509
+0.0358095
+0.035572
+0.0353283
+0.035146
+0.0350991
+0.0350804
+0.0332066
+0.0312927
+0.029405
+0.0275602
+0.0257696
+0.0240453
+0.0223931
+0.0208377
+0.0194054
+0.0180882
+0.0169376
+0.0160057
+0.0152425
+0.0147233
+0.0144673
+0.0144561
+0.0139444
+0.0123551
+0.010279
+0.00825211
+0.00622502
+0.00420838
+0.00227518
+0.000377496
+-0.00118778
+-0.00255332
+-0.00311068
+-0.00163981
+2.69045e-05
+0.00170524
+0.00348992
+0.00533005
+0.00681449
+0.00731818
+0.00736675
+0.00779584
+0.00850487
+0.00919853
+0.00973168
+0.00867453
+0.00723781
+0.00594297
+0.00507409
+0.00356296
+0.00177432
+-0.000222216
+-0.00227283
+-0.00407918
+-0.00539652
+-0.00565357
+-0.00399928
+-0.00245212
+-0.000726148
+0.00124264
+0.0028818
+0.00446071
+0.00626539
+0.00791948
+0.00974413
+0.0116093
+0.0135637
+0.015581
+0.0176397
+0.0196743
+0.0217246
+0.0237998
+0.023713
+0.0225269
+0.0214357
+0.0205211
+0.019776
+0.0192349
+0.0187877
+0.0185854
+0.0185717
+0.0187879
+0.0192526
+0.0199484
+0.020829
+0.0218814
+0.0230914
+0.0244292
+0.0258515
+0.0273755
+0.0432993
+0.0422218
+0.0412281
+0.0402694
+0.0393966
+0.0386285
+0.0379695
+0.0374
+0.0369518
+0.0366293
+0.0363362
+0.0361245
+0.036045
+0.0359417
+0.0358965
+0.0359663
+0.0340888
+0.0322143
+0.0303821
+0.0286004
+0.0268763
+0.025217
+0.0236444
+0.0221769
+0.0208164
+0.0195894
+0.0185323
+0.0176786
+0.0169621
+0.0164825
+0.0162542
+0.0162104
+0.0149157
+0.0128617
+0.0108613
+0.00894932
+0.00702562
+0.00516194
+0.00339041
+0.00186239
+0.000478696
+-0.000749888
+-0.00191851
+-0.00130659
+-9.12184e-05
+0.00149521
+0.00300167
+0.00452202
+0.0060761
+0.00660578
+0.00657816
+0.00694905
+0.00763847
+0.00843955
+0.00886436
+0.00805448
+0.00639855
+0.00483997
+0.00363781
+0.0025684
+0.00110279
+-0.000841517
+-0.00291032
+-0.00497509
+-0.0063643
+-0.00497224
+-0.00360373
+-0.00218196
+-0.000308413
+0.00163996
+0.00375147
+0.00559877
+0.00715953
+0.00894297
+0.0106104
+0.0124272
+0.0143431
+0.0162467
+0.0182149
+0.0202289
+0.0222763
+0.0243486
+0.0240987
+0.0228731
+0.0217993
+0.0209006
+0.0201215
+0.0194492
+0.0190029
+0.0187588
+0.0187317
+0.0189461
+0.019407
+0.0200853
+0.0209388
+0.0219776
+0.0231373
+0.0244387
+0.0258297
+0.0272934
+0.0435658
+0.0425205
+0.0415382
+0.0406503
+0.039836
+0.0390766
+0.0384271
+0.0378842
+0.0374418
+0.0371236
+0.0369261
+0.0367773
+0.0366993
+0.0367299
+0.0367738
+0.0368915
+0.0350722
+0.0332532
+0.0314815
+0.0297586
+0.0280987
+0.026516
+0.0250252
+0.0236259
+0.0223491
+0.021211
+0.0202387
+0.0194296
+0.0187801
+0.0183349
+0.0181299
+0.0176216
+0.015623
+0.0136757
+0.0118139
+0.00999194
+0.00817144
+0.00646678
+0.00493607
+0.00355242
+0.00228014
+0.00107014
+-6.67148e-05
+-0.000123419
+0.000783619
+0.00174304
+0.00296357
+0.0044589
+0.00590512
+0.00633532
+0.0062568
+0.00655087
+0.00723932
+0.00809899
+0.00817803
+0.00718498
+0.00573974
+0.00433321
+0.00285212
+0.0016476
+0.000298194
+-0.00152761
+-0.00361002
+-0.0055096
+-0.00603647
+-0.00437807
+-0.00293589
+-0.00146415
+0.000159502
+0.00214648
+0.00425121
+0.00635732
+0.00820707
+0.0096653
+0.0112499
+0.0130115
+0.0148875
+0.0167556
+0.0184918
+0.0202634
+0.0220674
+0.0238717
+0.0245204
+0.0232771
+0.022181
+0.0211811
+0.0203135
+0.0196478
+0.019183
+0.0189401
+0.0189444
+0.0191565
+0.0196113
+0.0201874
+0.0209484
+0.0219029
+0.0230269
+0.0242969
+0.0256744
+0.0271446
+0.0439003
+0.042896
+0.0419477
+0.04106
+0.040272
+0.0395802
+0.0389869
+0.0384715
+0.0380404
+0.0377317
+0.0375429
+0.0374433
+0.0374163
+0.037452
+0.0376055
+0.0378002
+0.0361618
+0.0343982
+0.0326804
+0.0310221
+0.0294336
+0.0279267
+0.0264997
+0.0251782
+0.0239842
+0.0229268
+0.0220304
+0.0212623
+0.0206681
+0.0202514
+0.020066
+0.0184861
+0.0165916
+0.0147571
+0.0129986
+0.0112213
+0.0095544
+0.00802261
+0.0066341
+0.00531653
+0.00405412
+0.00292023
+0.00188513
+0.00164882
+0.00196765
+0.00276127
+0.00388784
+0.00501244
+0.00628264
+0.00658527
+0.00647209
+0.00666833
+0.00728417
+0.00811101
+0.00799216
+0.00651572
+0.00472125
+0.00327386
+0.00243628
+0.00147581
+-0.000291795
+-0.00236372
+-0.00431219
+-0.00617543
+-0.00584718
+-0.004522
+-0.00272525
+-0.000877691
+0.000964716
+0.0027731
+0.00423171
+0.00592377
+0.00708252
+0.00860501
+0.0103608
+0.0122574
+0.0141663
+0.0159107
+0.0177127
+0.0195476
+0.0213639
+0.0232222
+0.0249373
+0.0236575
+0.022508
+0.0215207
+0.0206672
+0.0199696
+0.0194917
+0.0192068
+0.0191672
+0.0192942
+0.0196473
+0.0201921
+0.0209529
+0.0219073
+0.0230311
+0.0242794
+0.025639
+0.0271077
+0.044281
+0.0433265
+0.0424349
+0.0415761
+0.0407981
+0.0401155
+0.0395302
+0.0390592
+0.0386999
+0.0384379
+0.0382581
+0.0381829
+0.0381771
+0.0382762
+0.0384361
+0.0387098
+0.0373426
+0.035632
+0.0339766
+0.0323848
+0.0308665
+0.0294192
+0.0280641
+0.0268197
+0.0256981
+0.0247081
+0.0238787
+0.0231573
+0.0225985
+0.0222176
+0.0214105
+0.0195588
+0.017746
+0.0160224
+0.0142896
+0.0126472
+0.0111116
+0.00971254
+0.00836731
+0.00710096
+0.00593271
+0.00474711
+0.00390867
+0.00355772
+0.00367105
+0.00418426
+0.00499602
+0.0060339
+0.00722956
+0.00721153
+0.00706187
+0.00726591
+0.00777437
+0.00852414
+0.00761019
+0.00636019
+0.00445377
+0.00282576
+0.00126463
+-1.84136e-05
+-0.00117051
+-0.00292654
+-0.00482855
+-0.00634972
+-0.00487347
+-0.00330996
+-0.00199718
+-0.00108692
+0.000391839
+0.00162761
+0.00327477
+0.00490765
+0.00625567
+0.00792868
+0.00980628
+0.0117821
+0.0135151
+0.0153151
+0.0171535
+0.0189465
+0.0207745
+0.0226666
+0.024603
+0.0240144
+0.0228576
+0.0218598
+0.0210435
+0.0203849
+0.0198084
+0.0194304
+0.0192952
+0.0194079
+0.0197643
+0.0203101
+0.0210666
+0.0219812
+0.0230625
+0.0242937
+0.0256531
+0.0271172
+0.0446887
+0.0437771
+0.0429233
+0.0421662
+0.0414287
+0.0407616
+0.0401857
+0.0397224
+0.0393692
+0.0391185
+0.0389894
+0.0389804
+0.0389783
+0.0390991
+0.0393417
+0.0396378
+0.0386066
+0.0369545
+0.0353611
+0.0338345
+0.0323719
+0.030991
+0.0297077
+0.0285351
+0.0274744
+0.0265508
+0.0257655
+0.0250907
+0.0245722
+0.0242222
+0.0225535
+0.0207669
+0.0190647
+0.0173685
+0.0157413
+0.014203
+0.0127768
+0.0114425
+0.0101557
+0.00890023
+0.00770292
+0.00671557
+0.00592392
+0.00561251
+0.00548284
+0.0057372
+0.00635573
+0.00723878
+0.00829622
+0.00821951
+0.00800545
+0.0081426
+0.00860403
+0.00843736
+0.00742203
+0.00636935
+0.00463043
+0.00321885
+0.00172609
+8.49699e-05
+-0.00200887
+-0.00416655
+-0.00543275
+-0.00654242
+-0.00470174
+-0.00309461
+-0.00160259
+-0.000268285
+0.000587139
+0.00178976
+0.00311182
+0.00458633
+0.00604049
+0.00781831
+0.00972485
+0.0114481
+0.0131779
+0.014998
+0.016704
+0.0185081
+0.0203752
+0.0223012
+0.0242667
+0.0244046
+0.0232374
+0.0221884
+0.0213136
+0.0206352
+0.0201405
+0.0197563
+0.0195761
+0.0196401
+0.019946
+0.0204829
+0.021231
+0.0221421
+0.0232188
+0.0244257
+0.0257142
+0.0271099
+0.0450777
+0.0442681
+0.0434408
+0.0426946
+0.0420494
+0.0414645
+0.0409212
+0.0404893
+0.0401471
+0.0399013
+0.0397747
+0.0397687
+0.0398804
+0.0399985
+0.0402357
+0.0405899
+0.0399508
+0.0383567
+0.0368239
+0.0353494
+0.0339483
+0.0326343
+0.0314182
+0.0303049
+0.0293068
+0.0284428
+0.0276865
+0.0270597
+0.0265798
+0.0255695
+0.0238076
+0.0221213
+0.0204525
+0.0188312
+0.0172968
+0.0158542
+0.0145274
+0.0131972
+0.01193
+0.0106583
+0.00958346
+0.00868713
+0.00802418
+0.00761224
+0.00736092
+0.0074778
+0.00800781
+0.00875394
+0.00965804
+0.00952752
+0.0093198
+0.00943327
+0.0095705
+0.00838157
+0.00745015
+0.00627214
+0.00434549
+0.00263155
+0.00118212
+-0.000476223
+-0.0023279
+-0.00395679
+-0.00531526
+-0.00564964
+-0.00411128
+-0.00287555
+-0.00188523
+-0.00128341
+0.000178883
+0.00178106
+0.00331292
+0.00502908
+0.00650022
+0.00810044
+0.00983592
+0.011429
+0.0130179
+0.0147021
+0.0164968
+0.0182525
+0.0200928
+0.0219975
+0.0239511
+0.024769
+0.0236242
+0.0226071
+0.0217492
+0.0210848
+0.0205533
+0.0201433
+0.0199666
+0.0200294
+0.0203064
+0.0207864
+0.0214582
+0.0223165
+0.0233412
+0.0245192
+0.0257977
+0.0271892
+0.0455511
+0.0447494
+0.0440422
+0.0433095
+0.0426737
+0.0421422
+0.0416961
+0.0412723
+0.0409615
+0.0407662
+0.040663
+0.0406571
+0.0407678
+0.0409741
+0.0412155
+0.0415614
+0.0413674
+0.03983
+0.0383461
+0.0369288
+0.0355899
+0.0343387
+0.0331833
+0.0321253
+0.0311856
+0.030375
+0.029645
+0.0290604
+0.0286031
+0.0268615
+0.025188
+0.0235383
+0.0219234
+0.0203919
+0.0189384
+0.0176057
+0.016246
+0.014985
+0.0136655
+0.0124768
+0.0114984
+0.0106954
+0.0101013
+0.00956265
+0.0093217
+0.00937663
+0.00981019
+0.0104053
+0.0112471
+0.0110233
+0.0107595
+0.010803
+0.00968284
+0.0084907
+0.00744586
+0.00660722
+0.00472595
+0.00292546
+0.00112108
+-0.000785567
+-0.00282107
+-0.00403453
+-0.00531562
+-0.00472086
+-0.00340169
+-0.00196904
+-0.00049891
+0.000569873
+0.00121885
+0.00223514
+0.00370887
+0.00528937
+0.00696343
+0.00834348
+0.00982946
+0.0112361
+0.0127685
+0.0144504
+0.016185
+0.0179701
+0.0198364
+0.0217599
+0.0237297
+0.0251958
+0.0240713
+0.0231004
+0.0222634
+0.0215144
+0.0209029
+0.0205053
+0.0203318
+0.0203936
+0.0206698
+0.0211187
+0.0217797
+0.0226233
+0.0235997
+0.0247278
+0.0259599
+0.0273096
+0.0460911
+0.0452989
+0.0446004
+0.044
+0.0433996
+0.0428771
+0.0424473
+0.0421193
+0.0418465
+0.0416551
+0.0415785
+0.0416171
+0.041749
+0.0419515
+0.0422656
+0.0426168
+0.0428492
+0.0413577
+0.0399271
+0.0385679
+0.037288
+0.0360957
+0.0349911
+0.0339894
+0.0331026
+0.0323205
+0.0316339
+0.0310868
+0.0299245
+0.0282615
+0.0266252
+0.025017
+0.0234878
+0.0220265
+0.0206607
+0.0193092
+0.0180444
+0.0167036
+0.0154498
+0.0143601
+0.0134797
+0.0127625
+0.0120563
+0.0115689
+0.011351
+0.0113299
+0.011659
+0.0121831
+0.0129083
+0.0126769
+0.0124145
+0.0113339
+0.00992855
+0.00868917
+0.00754785
+0.00653074
+0.00508229
+0.00325988
+0.00140449
+-0.000572186
+-0.00157713
+-0.0026736
+-0.00419643
+-0.00374392
+-0.00303658
+-0.0016921
+-0.000575388
+0.000778656
+0.00224647
+0.0035312
+0.00472138
+0.006003
+0.00709686
+0.00833464
+0.00972445
+0.0112552
+0.0127843
+0.0144218
+0.0161174
+0.0179049
+0.0197736
+0.0217026
+0.0236772
+0.0256868
+0.0246532
+0.0236847
+0.0228046
+0.0220116
+0.0214143
+0.0210212
+0.020852
+0.0209122
+0.0211522
+0.0215675
+0.0221561
+0.0229397
+0.0238767
+0.0249554
+0.0261544
+0.0274264
+0.0467276
+0.0459465
+0.0452579
+0.0446664
+0.0441438
+0.0436728
+0.043288
+0.0429665
+0.0427548
+0.0426194
+0.0425445
+0.0425822
+0.0427324
+0.0429778
+0.043306
+0.0437388
+0.0441912
+0.0429396
+0.0415635
+0.0402596
+0.0390351
+0.0378934
+0.0368405
+0.0358905
+0.0350518
+0.0342943
+0.0336479
+0.032994
+0.0313399
+0.0297138
+0.0281117
+0.0265842
+0.025117
+0.023727
+0.0223819
+0.021091
+0.0197541
+0.01845
+0.0172869
+0.0162951
+0.0154576
+0.0147241
+0.0140669
+0.0136165
+0.0133827
+0.0133481
+0.0135911
+0.0140545
+0.0145848
+0.0143875
+0.0132436
+0.0119255
+0.0104974
+0.00912835
+0.00793802
+0.00657611
+0.00481578
+0.00270071
+0.000852038
+3.84668e-05
+-0.00068669
+-0.00198476
+-0.00278201
+-0.0021333
+-0.00173313
+-0.000119363
+0.000531227
+0.00157066
+0.00308242
+0.00428721
+0.00552147
+0.00664429
+0.00757681
+0.00875227
+0.0100833
+0.0116073
+0.0130786
+0.0146491
+0.0163351
+0.0181023
+0.0199525
+0.0218657
+0.0238268
+0.0258248
+0.0252372
+0.0242364
+0.0233985
+0.0226874
+0.0221005
+0.0217197
+0.0215268
+0.0214999
+0.021652
+0.0220215
+0.0225924
+0.0233215
+0.0241777
+0.0251856
+0.0263253
+0.0275853
+0.0473841
+0.0466146
+0.0459367
+0.0453547
+0.0448695
+0.0444314
+0.0440725
+0.0438203
+0.0436728
+0.0436018
+0.0435899
+0.043627
+0.0437738
+0.0440293
+0.0443767
+0.0448142
+0.0453412
+0.044573
+0.0432489
+0.0419974
+0.0408246
+0.0397285
+0.0387255
+0.0378229
+0.0370227
+0.0362929
+0.0356827
+0.0344218
+0.0328043
+0.031207
+0.029681
+0.0282082
+0.0268005
+0.0254608
+0.0241378
+0.0228169
+0.0214753
+0.0202646
+0.0191963
+0.0182607
+0.017433
+0.0167124
+0.0160909
+0.0156623
+0.015443
+0.0153956
+0.015587
+0.0159813
+0.0161953
+0.0154741
+0.0141535
+0.0127508
+0.0112122
+0.00978757
+0.00864374
+0.0072097
+0.00518676
+0.00326524
+0.00181575
+0.000918014
+-0.000513224
+-0.00184704
+-0.00209105
+-0.00126166
+-0.000946059
+0.000174867
+0.00233939
+0.00299695
+0.0043899
+0.00566367
+0.00670914
+0.00755628
+0.00831323
+0.00944451
+0.0106958
+0.0121312
+0.0136049
+0.0151474
+0.0167834
+0.0185343
+0.0203668
+0.0222304
+0.0241445
+0.0260924
+0.0258907
+0.0248865
+0.0240326
+0.0233198
+0.0227493
+0.0223678
+0.022125
+0.0220476
+0.0221116
+0.0223907
+0.0228772
+0.0235502
+0.0243715
+0.0253548
+0.026473
+0.0277195
+0.0480681
+0.0473097
+0.0466419
+0.0460688
+0.0455938
+0.045204
+0.0449133
+0.0446742
+0.0445333
+0.044485
+0.0445386
+0.0446996
+0.0448871
+0.0451363
+0.0454897
+0.0459324
+0.0464667
+0.0462526
+0.0449779
+0.0437758
+0.0426461
+0.041598
+0.0406411
+0.039782
+0.0390046
+0.0383125
+0.0375063
+0.035896
+0.0343028
+0.032778
+0.0312993
+0.0298791
+0.0285439
+0.0271944
+0.025888
+0.0245188
+0.0232733
+0.0221351
+0.0211385
+0.0201996
+0.0194045
+0.0186834
+0.0181143
+0.017698
+0.0175057
+0.0174693
+0.0176152
+0.0179173
+0.0173924
+0.0163915
+0.0148289
+0.0134188
+0.0121016
+0.0107617
+0.00939783
+0.00745282
+0.00560298
+0.00398048
+0.0028787
+0.00211787
+0.000881508
+-0.000505561
+-0.000605089
+-0.000442131
+-0.000222255
+0.000518863
+0.00244108
+0.00455255
+0.00594635
+0.00733021
+0.00820507
+0.00868905
+0.00934495
+0.0103287
+0.0115032
+0.0128479
+0.0142869
+0.015852
+0.0174588
+0.0191363
+0.0208751
+0.0226922
+0.0245703
+0.0264868
+0.0265094
+0.0255231
+0.0246923
+0.0239413
+0.0233461
+0.0229405
+0.0225808
+0.0224303
+0.0224932
+0.0227676
+0.0232462
+0.0239088
+0.0247182
+0.0256883
+0.0267357
+0.0279149
+0.0488408
+0.0480946
+0.047438
+0.0468745
+0.0464078
+0.0460249
+0.0457394
+0.0455577
+0.0454277
+0.045395
+0.0454678
+0.0456283
+0.0458902
+0.0462545
+0.0466649
+0.0471088
+0.0476323
+0.0479734
+0.0467457
+0.0455865
+0.0444999
+0.0434966
+0.0425824
+0.0417632
+0.0410077
+0.0403499
+0.0389888
+0.037399
+0.0358726
+0.0343905
+0.0329614
+0.0316126
+0.0302594
+0.0289649
+0.0275745
+0.0262932
+0.0251074
+0.0240542
+0.0230507
+0.0221798
+0.0213993
+0.020692
+0.0201481
+0.0197665
+0.0195923
+0.0195313
+0.0196261
+0.0196111
+0.0186566
+0.017076
+0.0155821
+0.0141974
+0.0128741
+0.011535
+0.00952916
+0.0076225
+0.00589109
+0.00446899
+0.00344215
+0.00235152
+0.00121088
+0.000129275
+0.000966863
+0.00165211
+0.00185504
+0.00222313
+0.00355144
+0.00531787
+0.00719479
+0.00842473
+0.00947365
+0.0099222
+0.0104802
+0.0113903
+0.0124658
+0.0137655
+0.0151893
+0.0167029
+0.0183226
+0.0199123
+0.0215887
+0.0233505
+0.0251796
+0.0270533
+0.0272364
+0.0261703
+0.0252496
+0.0244909
+0.0238897
+0.0234521
+0.0231627
+0.023016
+0.0230773
+0.0233402
+0.0237292
+0.0243101
+0.0250697
+0.0259632
+0.0269989
+0.0281671
+0.0496982
+0.0489651
+0.0483202
+0.0477672
+0.0473093
+0.0469338
+0.0466539
+0.0464757
+0.0464003
+0.0463744
+0.0464458
+0.0466201
+0.046881
+0.0472376
+0.0476923
+0.0482423
+0.0488504
+0.049454
+0.0485428
+0.0474228
+0.0463792
+0.0454174
+0.0445427
+0.0437563
+0.0430291
+0.0420824
+0.0404955
+0.0389673
+0.0374825
+0.0360463
+0.0346792
+0.0333306
+0.0320329
+0.0306387
+0.0293277
+0.0281056
+0.0269935
+0.0259585
+0.025002
+0.0241442
+0.0233852
+0.0227234
+0.0222118
+0.0218549
+0.0216567
+0.021586
+0.0216719
+0.0210498
+0.0195453
+0.0180026
+0.016555
+0.0151358
+0.0138813
+0.0120042
+0.010082
+0.00828564
+0.00672373
+0.00553595
+0.00438046
+0.00312231
+0.00163186
+0.000598792
+0.00138927
+0.00212456
+0.00273072
+0.00390179
+0.00517504
+0.00663132
+0.0083251
+0.00971311
+0.010558
+0.0112935
+0.0118655
+0.0127015
+0.0136951
+0.0148934
+0.0162476
+0.0177251
+0.0192112
+0.0207756
+0.0224274
+0.0241544
+0.0259271
+0.0277595
+0.0278933
+0.0268185
+0.0258791
+0.0250962
+0.0244557
+0.0239188
+0.0235741
+0.02343
+0.0234786
+0.0237025
+0.0241241
+0.024679
+0.0253911
+0.0262671
+0.0272912
+0.0284474
+0.0506129
+0.0499166
+0.0492842
+0.0487421
+0.0482934
+0.0479256
+0.0476515
+0.047477
+0.0474033
+0.0474236
+0.0474934
+0.0476639
+0.0479341
+0.0483001
+0.0487449
+0.0492832
+0.0499056
+0.050603
+0.0503664
+0.0492878
+0.0482846
+0.0473615
+0.0465233
+0.0457611
+0.0450116
+0.0435922
+0.0420624
+0.0405754
+0.0391334
+0.0377509
+0.0364063
+0.0350856
+0.0337091
+0.0323741
+0.0311234
+0.0299631
+0.0289058
+0.0278784
+0.0269658
+0.0261445
+0.0253934
+0.0247725
+0.0242977
+0.0239247
+0.0237438
+0.0236652
+0.0235161
+0.0221632
+0.0205943
+0.0191018
+0.0176359
+0.016298
+0.0146794
+0.0128033
+0.0110214
+0.00940618
+0.00804659
+0.00700249
+0.00570914
+0.00404822
+0.00243274
+0.00170812
+0.00236719
+0.00323878
+0.00379961
+0.00489572
+0.006283
+0.00799314
+0.00972088
+0.0111883
+0.011807
+0.0126137
+0.0132464
+0.0140276
+0.0150685
+0.0161308
+0.0173889
+0.018787
+0.020253
+0.0217891
+0.0233786
+0.0250503
+0.0267969
+0.0285864
+0.0285143
+0.0274488
+0.0264662
+0.0256248
+0.0249235
+0.0243969
+0.0240591
+0.0239147
+0.0239359
+0.0241556
+0.0245694
+0.0251678
+0.0258878
+0.0267372
+0.0276352
+0.0286311
+0.0515861
+0.0508984
+0.0502968
+0.0497845
+0.0493552
+0.0489954
+0.0487273
+0.0485567
+0.0484846
+0.0485114
+0.0486172
+0.0487838
+0.0490478
+0.0494076
+0.0498612
+0.0503926
+0.0510066
+0.0516892
+0.0522182
+0.0511786
+0.0502132
+0.0493262
+0.048522
+0.0477823
+0.0465496
+0.045158
+0.0436691
+0.0422221
+0.0408266
+0.0394855
+0.0381456
+0.0367841
+0.0354296
+0.0341555
+0.0329564
+0.031863
+0.0307978
+0.0298331
+0.0289369
+0.0281448
+0.0274156
+0.0268284
+0.0263622
+0.0260143
+0.025848
+0.0257628
+0.0248618
+0.0233099
+0.0217918
+0.0203014
+0.0188986
+0.0174948
+0.0156496
+0.0139009
+0.0122736
+0.0106816
+0.00922661
+0.007985
+0.00670755
+0.00530552
+0.00410197
+0.00363898
+0.00408478
+0.0049684
+0.00549637
+0.00636848
+0.00761793
+0.00909188
+0.0107925
+0.0125592
+0.0132421
+0.0137586
+0.0145486
+0.0155101
+0.0163598
+0.0173312
+0.0184785
+0.0197752
+0.0210744
+0.022496
+0.0240314
+0.025662
+0.027353
+0.0290957
+0.0290919
+0.0279877
+0.0270163
+0.0261926
+0.0255069
+0.0249927
+0.0246629
+0.0245252
+0.0245796
+0.0247946
+0.0251732
+0.0256854
+0.026255
+0.0269657
+0.027831
+0.0288201
+0.0526197
+0.0519457
+0.0513564
+0.0508547
+0.0504433
+0.0501243
+0.0498692
+0.0497025
+0.0496321
+0.0496583
+0.0497809
+0.0499729
+0.0502324
+0.0505838
+0.0510269
+0.0515545
+0.0521558
+0.0528411
+0.0535928
+0.0530925
+0.0521625
+0.0513092
+0.0505366
+0.0494707
+0.0481383
+0.0467633
+0.045312
+0.0439055
+0.0425653
+0.0412114
+0.0398627
+0.0384919
+0.0371986
+0.0359675
+0.0348308
+0.0337491
+0.0327258
+0.031786
+0.0309375
+0.0301455
+0.02945
+0.0289041
+0.0284415
+0.0281193
+0.0279571
+0.027597
+0.0260896
+0.0245678
+0.0230393
+0.0214466
+0.0198563
+0.0183811
+0.016564
+0.014843
+0.0132119
+0.0116795
+0.0103162
+0.00883769
+0.0076389
+0.00672897
+0.00593714
+0.00573448
+0.00597856
+0.00648737
+0.0069427
+0.00774432
+0.00874166
+0.0100702
+0.0116463
+0.0133964
+0.014422
+0.0148625
+0.0155388
+0.0161991
+0.0169683
+0.0179067
+0.0190267
+0.0202404
+0.0215112
+0.0229057
+0.0244153
+0.0260219
+0.0277031
+0.0294387
+0.029755
+0.0286763
+0.0277276
+0.026912
+0.0262544
+0.0257615
+0.025419
+0.0252486
+0.0252677
+0.0254063
+0.0256919
+0.0260901
+0.0266255
+0.0273264
+0.0281734
+0.0291358
+0.0537229
+0.0530629
+0.0524861
+0.0519953
+0.0515879
+0.0512516
+0.0509954
+0.0508324
+0.0507636
+0.0507892
+0.0509091
+0.0511227
+0.0514289
+0.0517987
+0.0522492
+0.0527785
+0.0533693
+0.0540392
+0.0547887
+0.0550271
+0.0541303
+0.0533085
+0.0524121
+0.0510624
+0.0497726
+0.0484029
+0.0469869
+0.045632
+0.0442816
+0.0429441
+0.0415595
+0.0402464
+0.0389922
+0.0378196
+0.0367246
+0.0356528
+0.034677
+0.03376
+0.0329406
+0.0321564
+0.0315053
+0.0309885
+0.0305363
+0.0302365
+0.0300745
+0.0287092
+0.0271679
+0.0256584
+0.0240089
+0.0223863
+0.0207922
+0.0189491
+0.0171878
+0.015534
+0.0140256
+0.012675
+0.0113969
+0.0100501
+0.00899897
+0.00800853
+0.00735984
+0.0072148
+0.00737403
+0.00783917
+0.00830494
+0.00910653
+0.0100672
+0.0113026
+0.012727
+0.0143458
+0.0156614
+0.0158233
+0.016215
+0.0168488
+0.0177154
+0.0186316
+0.0197242
+0.0209254
+0.0221569
+0.0235126
+0.0249742
+0.0265364
+0.0281824
+0.0298983
+0.0304418
+0.0293972
+0.0284552
+0.0276502
+0.0269869
+0.0264663
+0.0261196
+0.0258855
+0.0258325
+0.0259553
+0.026213
+0.0265659
+0.0270918
+0.0277811
+0.0285998
+0.0295484
+0.0548796
+0.0542327
+0.0536675
+0.0531794
+0.0527684
+0.0524397
+0.0521893
+0.0520301
+0.0519628
+0.0519878
+0.052105
+0.0523137
+0.0526129
+0.0530011
+0.0534672
+0.0539927
+0.0546012
+0.0552898
+0.0560308
+0.0568384
+0.0561146
+0.0553223
+0.054006
+0.0526971
+0.0514458
+0.0500703
+0.0487027
+0.0473554
+0.0460278
+0.0446313
+0.0433006
+0.0420276
+0.0408246
+0.0397061
+0.0386062
+0.0375803
+0.036627
+0.0357592
+0.034928
+0.0341894
+0.0335778
+0.0330672
+0.0326438
+0.0323635
+0.0313053
+0.0297371
+0.0282519
+0.0266852
+0.0250444
+0.0233625
+0.0215166
+0.0197394
+0.0180516
+0.0164826
+0.0150678
+0.0137904
+0.0125079
+0.011275
+0.0101261
+0.00931522
+0.00891569
+0.00894837
+0.00905748
+0.00946113
+0.00991312
+0.0106442
+0.0116363
+0.0127237
+0.0140682
+0.015548
+0.0165468
+0.0167421
+0.0171258
+0.0177272
+0.0185595
+0.0194653
+0.0205249
+0.0217103
+0.0229487
+0.0242586
+0.0256836
+0.0272051
+0.0288129
+0.0300734
+0.0311863
+0.030161
+0.029239
+0.0284562
+0.0278073
+0.0272343
+0.0268285
+0.0265975
+0.0264913
+0.0265122
+0.0266819
+0.0270286
+0.0275457
+0.0282239
+0.0290518
+0.0299961
+0.0560937
+0.055461
+0.0548996
+0.0544136
+0.054012
+0.0536909
+0.0534464
+0.0532909
+0.0532252
+0.0532496
+0.053364
+0.0535679
+0.0538601
+0.0542393
+0.0546995
+0.0552301
+0.0558417
+0.0565271
+0.0572764
+0.0580986
+0.0581137
+0.0569659
+0.0556404
+0.054371
+0.0531468
+0.0517766
+0.0504322
+0.0490979
+0.0477064
+0.0463605
+0.0450715
+0.0438426
+0.0426908
+0.0415799
+0.0405124
+0.0395289
+0.038602
+0.0377503
+0.0369384
+0.0362408
+0.0356644
+0.0351594
+0.0347615
+0.0339855
+0.032399
+0.0308864
+0.0294426
+0.0277937
+0.0260426
+0.0242028
+0.0224261
+0.0207271
+0.0191266
+0.017649
+0.0162867
+0.0149237
+0.0135925
+0.0123389
+0.0112985
+0.0105474
+0.0101962
+0.0102235
+0.010704
+0.0111919
+0.0115676
+0.0121004
+0.0129351
+0.0140439
+0.0153508
+0.0168422
+0.0176259
+0.0178061
+0.0182171
+0.0187951
+0.0195911
+0.0204663
+0.0213486
+0.0222436
+0.0233089
+0.0243749
+0.0252164
+0.0262046
+0.0273085
+0.0284001
+0.0295999
+0.0309086
+0.0300231
+0.0292033
+0.0284946
+0.027937
+0.0275334
+0.0272061
+0.0270399
+0.0270293
+0.0271958
+0.0275168
+0.0279917
+0.0286269
+0.0294119
+0.0303351
+0.0573154
+0.0567371
+0.0561815
+0.0557066
+0.0553144
+0.0549975
+0.0547588
+0.054607
+0.0545428
+0.0545666
+0.0546782
+0.0548772
+0.0551624
+0.0555327
+0.0559758
+0.0564945
+0.0570925
+0.0577675
+0.0585168
+0.0593375
+0.0599398
+0.0585997
+0.0573121
+0.0560713
+0.0548533
+0.0535115
+0.0521639
+0.0507844
+0.0494252
+0.0481224
+0.0468711
+0.0456906
+0.0445669
+0.0434676
+0.0424445
+0.0414815
+0.0405992
+0.0397388
+0.0389682
+0.0383076
+0.0377615
+0.0372628
+0.0367315
+0.0351324
+0.0336001
+0.0321252
+0.0306097
+0.0288067
+0.0269775
+0.025206
+0.0235052
+0.0218901
+0.0203735
+0.018953
+0.0175552
+0.0161736
+0.0148184
+0.0136704
+0.0127355
+0.0120545
+0.011745
+0.0117644
+0.0121752
+0.0126885
+0.013091
+0.0135959
+0.0143638
+0.0153792
+0.0166112
+0.0169716
+0.0174182
+0.0176514
+0.0175463
+0.0176669
+0.0180135
+0.0186028
+0.019404
+0.0203824
+0.02154
+0.0226843
+0.0235862
+0.0245738
+0.0255939
+0.0267403
+0.0280113
+0.0293908
+0.0307268
+0.0299188
+0.0292246
+0.0285699
+0.0280513
+0.0276966
+0.0275124
+0.027502
+0.0276656
+0.0279995
+0.0284674
+0.0290921
+0.0298649
+0.0307745
+0.058277
+0.0578619
+0.0575113
+0.0570545
+0.0566628
+0.0563461
+0.0561131
+0.055965
+0.0559024
+0.0559256
+0.0560345
+0.0562286
+0.0565071
+0.0568686
+0.0573075
+0.0578142
+0.0583988
+0.0590588
+0.0597919
+0.0605953
+0.0614664
+0.0602689
+0.0590135
+0.0578022
+0.056585
+0.0552335
+0.0538647
+0.0524938
+0.0511789
+0.0499081
+0.0487027
+0.0475676
+0.0464408
+0.0453796
+0.0443904
+0.0434568
+0.0425804
+0.0417474
+0.0410146
+0.0403875
+0.0398451
+0.0393727
+0.037922
+0.036375
+0.0348767
+0.0334517
+0.0316327
+0.0298159
+0.0280526
+0.0263535
+0.0247318
+0.0231913
+0.0217342
+0.0203186
+0.0189084
+0.0174919
+0.016245
+0.0151626
+0.0143277
+0.0137454
+0.0134487
+0.0134657
+0.0138101
+0.0143295
+0.014783
+0.0152602
+0.0149892
+0.0146899
+0.0146375
+0.0148642
+0.0153721
+0.0155822
+0.0154651
+0.0156019
+0.0159856
+0.0166468
+0.0175151
+0.0185932
+0.019834
+0.0210859
+0.0219116
+0.0228509
+0.02394
+0.0251618
+0.0265086
+0.0279624
+0.0295073
+0.0306399
+0.0298369
+0.0291766
+0.0286689
+0.028322
+0.0281419
+0.0281317
+0.0282916
+0.0286182
+0.0290761
+0.0296881
+0.0304458
+0.0313385
+0.0592569
+0.0588489
+0.05852
+0.0582717
+0.0580554
+0.0577463
+0.057519
+0.0573745
+0.0573134
+0.0573361
+0.0574423
+0.0576317
+0.0579034
+0.0582563
+0.0586888
+0.0591856
+0.0597568
+0.060402
+0.0611189
+0.0619052
+0.062758
+0.0619706
+0.0607396
+0.0595634
+0.0583062
+0.0569469
+0.0555657
+0.0542379
+0.0529522
+0.0517249
+0.0505628
+0.049425
+0.0483351
+0.0473158
+0.0463452
+0.0454518
+0.0445686
+0.0437735
+0.0430752
+0.0424786
+0.0419382
+0.0407561
+0.0391975
+0.0376821
+0.0362202
+0.0344492
+0.0326399
+0.0308714
+0.0291515
+0.0274987
+0.0259257
+0.024448
+0.0230838
+0.0217393
+0.020284
+0.0189705
+0.0177971
+0.0168082
+0.0160591
+0.0155264
+0.0152618
+0.0152768
+0.0148724
+0.0142738
+0.0139952
+0.0136227
+0.0129305
+0.012582
+0.0125206
+0.0127849
+0.0133356
+0.0135453
+0.0134147
+0.0135724
+0.0140068
+0.0147414
+0.0157048
+0.0168859
+0.0182263
+0.0193737
+0.0201938
+0.0212094
+0.0223785
+0.023681
+0.0251073
+0.0266331
+0.028241
+0.0299227
+0.0305756
+0.0299316
+0.0294369
+0.0290992
+0.0289239
+0.028914
+0.0290697
+0.0293876
+0.0298337
+0.0304305
+0.031168
+0.0319038
+0.0603006
+0.0598996
+0.0595766
+0.0593327
+0.059169
+0.0590829
+0.0589728
+0.0588319
+0.0587723
+0.0587944
+0.058898
+0.0590827
+0.0593478
+0.0596921
+0.0601143
+0.0606051
+0.061163
+0.0617935
+0.0624945
+0.0632637
+0.0640985
+0.0636922
+0.0624948
+0.0613523
+0.0600308
+0.0586404
+0.0573
+0.0560022
+0.0547556
+0.0535697
+0.0524224
+0.0513074
+0.0502529
+0.0492592
+0.0483203
+0.0474245
+0.0465751
+0.0458148
+0.0451481
+0.0445684
+0.0436246
+0.0420577
+0.0405301
+0.0389684
+0.0372234
+0.0354099
+0.0336414
+0.0319252
+0.0302703
+0.0286873
+0.0271875
+0.0257695
+0.0244655
+0.0231541
+0.0217934
+0.0205613
+0.0194666
+0.0185668
+0.0177486
+0.0163838
+0.0151257
+0.0139938
+0.013103
+0.0124547
+0.0121344
+0.0117206
+0.0109232
+0.0105079
+0.0104342
+0.0107499
+0.011355
+0.0115646
+0.0114114
+0.0115957
+0.0121012
+0.0129139
+0.0140016
+0.0152821
+0.0167513
+0.0176808
+0.0185758
+0.0196751
+0.0209211
+0.022296
+0.0237917
+0.0253806
+0.0270538
+0.0287964
+0.0305968
+0.030794
+0.0303441
+0.0300165
+0.0298466
+0.029837
+0.0299879
+0.0302763
+0.0306481
+0.0311628
+0.0317688
+0.0325112
+0.0614044
+0.0610107
+0.0606935
+0.0604542
+0.060293
+0.0601966
+0.0601794
+0.060242
+0.0602755
+0.060297
+0.0603981
+0.0605782
+0.0608367
+0.0611727
+0.0615813
+0.0620531
+0.0625981
+0.0632143
+0.0638997
+0.0646522
+0.0654693
+0.0654416
+0.0642768
+0.0631161
+0.0617174
+0.0603659
+0.0590572
+0.0577935
+0.0565864
+0.0554309
+0.0542905
+0.0532082
+0.0521922
+0.0512156
+0.050309
+0.0494121
+0.0485974
+0.0478693
+0.0472316
+0.0465223
+0.0449488
+0.0433348
+0.0417553
+0.0399072
+0.0380955
+0.0363256
+0.0346038
+0.0329378
+0.0313365
+0.0298037
+0.0283472
+0.0269899
+0.0257478
+0.024636
+0.0232686
+0.021398
+0.0195939
+0.0178764
+0.0162729
+0.0147866
+0.013478
+0.0124064
+0.0114696
+0.0107583
+0.0103858
+0.00989765
+0.00899606
+0.00849079
+0.00840097
+0.00877775
+0.00946753
+0.009675
+0.00949129
+0.00971115
+0.0103002
+0.0112173
+0.012413
+0.0138401
+0.0153768
+0.0161027
+0.0170614
+0.0182011
+0.019521
+0.0209871
+0.0225654
+0.0242349
+0.0259819
+0.0277919
+0.0296533
+0.0315569
+0.0311783
+0.0308736
+0.0307084
+0.0306657
+0.030722
+0.0309337
+0.0312977
+0.0318088
+0.03246
+0.0332281
+0.0625509
+0.0621644
+0.0618532
+0.0616183
+0.0614607
+0.0613683
+0.0613515
+0.0614128
+0.0615522
+0.061769
+0.0619393
+0.0621149
+0.0623671
+0.0626949
+0.063083
+0.0635437
+0.064076
+0.0646781
+0.0653482
+0.0660841
+0.0668837
+0.0672168
+0.0660833
+0.0647964
+0.0634348
+0.0621165
+0.0608374
+0.0596115
+0.058442
+0.0572846
+0.056179
+0.0551306
+0.0541334
+0.0531903
+0.0522787
+0.0514162
+0.0506338
+0.0499353
+0.0493198
+0.0477304
+0.0460974
+0.0444893
+0.0426472
+0.0408396
+0.0390711
+0.0373474
+0.035675
+0.0340615
+0.0325047
+0.0310202
+0.0296235
+0.0283275
+0.0263078
+0.0242965
+0.0223191
+0.0203844
+0.0184932
+0.0166699
+0.0149375
+0.0133323
+0.0118886
+0.0106808
+0.00978449
+0.00923059
+0.00879363
+0.00824069
+0.00718512
+0.00656997
+0.00647141
+0.00687517
+0.00771025
+0.00789093
+0.00768369
+0.00798449
+0.00864555
+0.00968611
+0.0109433
+0.0123728
+0.0138657
+0.0146031
+0.0156155
+0.0168533
+0.0182708
+0.0198295
+0.021493
+0.0232397
+0.0250562
+0.0269285
+0.0288456
+0.0307992
+0.0320742
+0.0317645
+0.0315566
+0.0314591
+0.031514
+0.0317204
+0.0320755
+0.0325744
+0.0332106
+0.0339763
+0.0637521
+0.0633729
+0.0630677
+0.0628374
+0.0626828
+0.0625947
+0.0625782
+0.0626384
+0.062775
+0.0629876
+0.0632753
+0.0636372
+0.0639359
+0.064246
+0.0646241
+0.0650739
+0.0655937
+0.0661821
+0.0668371
+0.0675568
+0.0683391
+0.0690159
+0.0678772
+0.0665065
+0.0651794
+0.0638866
+0.0626437
+0.0614539
+0.0602892
+0.0591614
+0.0580857
+0.0570701
+0.0560909
+0.0551704
+0.0542654
+0.0534349
+0.0526825
+0.0520116
+0.0505405
+0.0489003
+0.0472683
+0.0454333
+0.043631
+0.0418659
+0.0401426
+0.038467
+0.0368446
+0.0352709
+0.033766
+0.0319246
+0.0298142
+0.0277163
+0.0256338
+0.023571
+0.0215335
+0.0195289
+0.0175517
+0.0156249
+0.0137771
+0.0120449
+0.0104527
+0.00907994
+0.0080516
+0.00745233
+0.00737235
+0.00683625
+0.00557588
+0.00484812
+0.00467201
+0.00513254
+0.00616973
+0.0063086
+0.00610489
+0.00643773
+0.00698514
+0.00796731
+0.00933883
+0.0109194
+0.0124341
+0.0132515
+0.0143594
+0.0156966
+0.0172097
+0.0188563
+0.0205986
+0.022415
+0.0242933
+0.0262137
+0.0281688
+0.0301556
+0.032169
+0.0327177
+0.0324762
+0.0323815
+0.0324349
+0.0326355
+0.0329807
+0.0334661
+0.0340856
+0.0348321
+0.0650049
+0.0646331
+0.0643339
+0.0641081
+0.0639566
+0.0638728
+0.0638566
+0.0639156
+0.0640495
+0.0642578
+0.0645399
+0.0648948
+0.0653212
+0.0658178
+0.0662018
+0.0666409
+0.0671487
+0.0677235
+0.0683637
+0.0690675
+0.069833
+0.0706581
+0.0695805
+0.068244
+0.0669403
+0.0656821
+0.0644739
+0.0633028
+0.0621525
+0.0610549
+0.0600118
+0.0590116
+0.0580651
+0.0571405
+0.0562672
+0.0554667
+0.0547423
+0.0533802
+0.0517369
+0.0500848
+0.0482574
+0.0464614
+0.0447006
+0.0429794
+0.0413027
+0.0396714
+0.0379666
+0.0358102
+0.0336583
+0.0315117
+0.0293717
+0.0272396
+0.0251177
+0.0230087
+0.0209164
+0.0188466
+0.0168074
+0.0148115
+0.0128636
+0.0109883
+0.00925262
+0.00774177
+0.00651536
+0.00580719
+0.00572187
+0.00577883
+0.0043667
+0.00331634
+0.00325186
+0.00382149
+0.00486555
+0.00498114
+0.00460508
+0.00449667
+0.00513784
+0.00636693
+0.00791617
+0.00970406
+0.0112174
+0.0121171
+0.0133166
+0.0147399
+0.0163339
+0.018052
+0.0198469
+0.0217133
+0.0236354
+0.0256007
+0.0276
+0.0296263
+0.0316745
+0.0337407
+0.0335097
+0.033418
+0.0334697
+0.0336641
+0.0339989
+0.0344699
+0.0350717
+0.0357395
+0.0663065
+0.065942
+0.0656487
+0.0654275
+0.0652791
+0.0651985
+0.0651827
+0.0652405
+0.0653717
+0.0655758
+0.0658523
+0.0662001
+0.0666182
+0.0671052
+0.0676596
+0.0682423
+0.0687382
+0.0692999
+0.0699257
+0.0706139
+0.0713628
+0.0721704
+0.0713104
+0.0699978
+0.0687258
+0.0675009
+0.0663243
+0.0651536
+0.0640362
+0.0629664
+0.0619495
+0.0609699
+0.0600378
+0.0591261
+0.0582826
+0.0575102
+0.0562468
+0.0546019
+0.0529327
+0.0511132
+0.0493239
+0.0475682
+0.04585
+0.0441736
+0.0420933
+0.0399194
+0.0377474
+0.0355778
+0.0334109
+0.0312473
+0.0290878
+0.0269333
+0.0247851
+0.0226452
+0.0205159
+0.018401
+0.0163062
+0.0142403
+0.0122178
+0.0102647
+0.008393
+0.00670075
+0.00530717
+0.00447851
+0.00438454
+0.00487918
+0.00304687
+0.00168819
+0.00155385
+0.00273297
+0.00398898
+0.00410226
+0.00297267
+0.00270853
+0.00352115
+0.00497044
+0.00676057
+0.00872578
+0.0102676
+0.0112436
+0.0125282
+0.0140223
+0.0156652
+0.0174289
+0.0192805
+0.0211968
+0.0231618
+0.0251641
+0.0271955
+0.0292499
+0.0313227
+0.0334106
+0.0346285
+0.0345397
+0.0345897
+0.0347779
+0.0351021
+0.0355
+0.0359557
+0.0365374
+0.0676539
+0.0672968
+0.0670094
+0.0667927
+0.0666473
+0.0665685
+0.066553
+0.0666096
+0.066738
+0.066938
+0.0672089
+0.0675497
+0.0679595
+0.0684369
+0.0689807
+0.0695892
+0.0702608
+0.0709089
+0.0715206
+0.0721937
+0.0729263
+0.0737168
+0.0730588
+0.0717742
+0.0705342
+0.0693413
+0.0681634
+0.0670248
+0.0659342
+0.0648955
+0.0638927
+0.0629434
+0.0619767
+0.0609854
+0.0600505
+0.0591367
+0.057491
+0.0558059
+0.0539954
+0.0522134
+0.0504557
+0.0485496
+0.0463696
+0.0441897
+0.0420101
+0.0398316
+0.0376546
+0.0354793
+0.033306
+0.0311351
+0.0289673
+0.0268031
+0.0246436
+0.0224901
+0.0203446
+0.0182099
+0.0160902
+0.0139924
+0.0119281
+0.00990384
+0.00794651
+0.00614013
+0.00462302
+0.00363491
+0.00360958
+0.00427336
+0.00216834
+0.000252726
+-2.7926e-06
+0.00179808
+0.00373104
+0.00339226
+0.00195983
+0.00124891
+0.00218464
+0.00400182
+0.00605435
+0.00816401
+0.00963628
+0.0106701
+0.0120185
+0.0135669
+0.0152588
+0.0170647
+0.0189518
+0.0208983
+0.0228889
+0.0249132
+0.0269635
+0.0290343
+0.0311215
+0.033222
+0.0353335
+0.0357457
+0.0357289
+0.0358076
+0.0360196
+0.0363624
+0.0368083
+0.0373519
+0.0690446
+0.0686947
+0.0684132
+0.068201
+0.0680586
+0.0679814
+0.0679662
+0.0680216
+0.0681474
+0.0683433
+0.0686086
+0.0689425
+0.069344
+0.069812
+0.0703452
+0.070942
+0.0716009
+0.0723201
+0.073098
+0.0738047
+0.0745215
+0.0752952
+0.0748266
+0.0734128
+0.0719802
+0.0705866
+0.0692342
+0.0679256
+0.0666633
+0.06545
+0.0642885
+0.0631816
+0.0621323
+0.0611435
+0.0602111
+0.0593387
+0.0585353
+0.056818
+0.0550353
+0.0529363
+0.0507559
+0.0485746
+0.0463932
+0.0442128
+0.0420334
+0.0398552
+0.0376786
+0.0355036
+0.0333307
+0.0311603
+0.0289929
+0.0268293
+0.0246705
+0.0225179
+0.0203734
+0.0182399
+0.0161217
+0.0140258
+0.0119583
+0.00991598
+0.00795311
+0.00614615
+0.00458461
+0.0035896
+0.00358338
+0.00435128
+0.00225496
+0.000258644
+4.11848e-05
+0.00200275
+0.00389043
+0.0031635
+0.00153892
+0.000325272
+0.00170684
+0.00376119
+0.00591127
+0.00808318
+0.00947272
+0.0105227
+0.0118877
+0.0134461
+0.0151507
+0.0169672
+0.0188635
+0.0208175
+0.0228147
+0.0248444
+0.0268995
+0.0289744
+0.0310652
+0.0331689
+0.0352832
+0.0367228
+0.0366687
+0.0367454
+0.0369484
+0.037256
+0.0376659
+0.0381973
+0.070476
+0.0701332
+0.0698575
+0.0696497
+0.0695102
+0.0694346
+0.0694198
+0.069474
+0.0695973
+0.069789
+0.0700489
+0.0703759
+0.0707693
+0.071228
+0.0717506
+0.0723358
+0.0729821
+0.0736879
+0.0744515
+0.0752711
+0.0761449
+0.0765748
+0.0750748
+0.0736094
+0.0721807
+0.070791
+0.0694427
+0.0681381
+0.0668798
+0.0656705
+0.0645129
+0.06341
+0.0623645
+0.0613794
+0.0604506
+0.0595818
+0.0587817
+0.0573811
+0.0552
+0.0530197
+0.0508403
+0.0486618
+0.0464845
+0.0443086
+0.0421342
+0.0399615
+0.037791
+0.0356229
+0.0334577
+0.0312961
+0.0291389
+0.026987
+0.0248419
+0.0227055
+0.0205806
+0.018471
+0.0163827
+0.014325
+0.0123005
+0.0103234
+0.00845221
+0.00674496
+0.00531606
+0.00447996
+0.00446486
+0.00510075
+0.00328659
+0.00200751
+0.00194667
+0.00312689
+0.00481902
+0.00361549
+0.00210812
+0.00142455
+0.00231325
+0.00417724
+0.00619445
+0.00829991
+0.00972143
+0.0107471
+0.0120869
+0.0136224
+0.0153074
+0.0171073
+0.0189895
+0.0209319
+0.022919
+0.0249403
+0.026988
+0.0290566
+0.0311419
+0.0332408
+0.0353508
+0.0374701
+0.0376672
+0.0377282
+0.037905
+0.0382067
+0.0386174
+0.0391358
+0.0719456
+0.0716099
+0.0713399
+0.0711363
+0.0709998
+0.0709258
+0.0709113
+0.0709644
+0.071085
+0.0712728
+0.0715272
+0.0718476
+0.072233
+0.0726824
+0.0731946
+0.0737684
+0.0744022
+0.0750947
+0.0758441
+0.0766488
+0.0775071
+0.0768258
+0.0753308
+0.0738704
+0.0724469
+0.0710625
+0.0697193
+0.06842
+0.067167
+0.065963
+0.0648107
+0.0637129
+0.0626724
+0.0616922
+0.0607683
+0.059904
+0.0591083
+0.0575385
+0.0553636
+0.0531899
+0.0510178
+0.0488473
+0.0466786
+0.0445122
+0.0423482
+0.0401871
+0.0380295
+0.0358758
+0.0337269
+0.0315837
+0.0294475
+0.02732
+0.0252032
+0.0231003
+0.0210153
+0.0189542
+0.0169256
+0.014941
+0.0129957
+0.0111175
+0.00937346
+0.00785643
+0.00666889
+0.00602359
+0.00600752
+0.00636579
+0.00491796
+0.00407205
+0.00406634
+0.00485541
+0.00612555
+0.00493307
+0.00382504
+0.00343897
+0.004001
+0.00531811
+0.00707533
+0.00902017
+0.0104344
+0.0113961
+0.0126674
+0.0141401
+0.0157698
+0.0175223
+0.0193642
+0.0212724
+0.0232304
+0.0252268
+0.027253
+0.0293029
+0.0313718
+0.0334563
+0.0355535
+0.0376613
+0.0387408
+0.0387895
+0.0389614
+0.0392551
+0.0396549
+0.0401599
+0.0734512
+0.0731223
+0.0728579
+0.0726587
+0.072525
+0.0724526
+0.0724383
+0.0724903
+0.0726084
+0.0727923
+0.0730414
+0.0733551
+0.0737326
+0.074173
+0.074675
+0.0752374
+0.075859
+0.0765383
+0.0772737
+0.0780637
+0.0786589
+0.0771382
+0.0756494
+0.0741953
+0.0727782
+0.0714001
+0.0700635
+0.0687706
+0.0675242
+0.0663266
+0.0651807
+0.0640892
+0.063055
+0.0620809
+0.0611628
+0.0603042
+0.0595138
+0.0577785
+0.055613
+0.0534495
+0.0512883
+0.0491298
+0.0469742
+0.044822
+0.0426738
+0.0405301
+0.0383917
+0.0362595
+0.0341347
+0.0320189
+0.0299138
+0.0278219
+0.0257465
+0.0236918
+0.0216639
+0.0196708
+0.0177103
+0.0158017
+0.0139556
+0.012224
+0.0106625
+0.00933329
+0.00832595
+0.00781002
+0.00778141
+0.00796653
+0.00685111
+0.00622039
+0.00622045
+0.00679863
+0.00772292
+0.00667768
+0.00582304
+0.00558229
+0.00597875
+0.00696118
+0.00838562
+0.0100844
+0.0115259
+0.0124033
+0.0135806
+0.0149637
+0.0165123
+0.0181934
+0.0199736
+0.0218285
+0.0237407
+0.0256975
+0.0276893
+0.0297091
+0.0317515
+0.0338126
+0.035889
+0.0379782
+0.0398955
+0.0399428
+0.0401098
+0.0403951
+0.0407837
+0.041275
+0.0749905
+0.0746684
+0.0744095
+0.0742144
+0.0740836
+0.0740127
+0.0739987
+0.0740496
+0.0741652
+0.0743452
+0.0745892
+0.0748964
+0.0752662
+0.0756976
+0.0761896
+0.076741
+0.0773505
+0.0780167
+0.0787384
+0.0795138
+0.0790248
+0.0775113
+0.0760298
+0.0745831
+0.0731735
+0.071803
+0.070474
+0.0691889
+0.0679501
+0.0667602
+0.0656218
+0.0645378
+0.0635109
+0.0625439
+0.0616327
+0.0607807
+0.0599966
+0.0581002
+0.0559471
+0.0537971
+0.0516505
+0.0495077
+0.0473693
+0.045236
+0.0431084
+0.0409874
+0.0388741
+0.03677
+0.0346765
+0.0325958
+0.0305305
+0.028484
+0.0264606
+0.0244648
+0.0224904
+0.0205588
+0.0186845
+0.0168855
+0.0151719
+0.013596
+0.0122013
+0.011022
+0.0101831
+0.00974981
+0.00972671
+0.00978853
+0.00888611
+0.00839067
+0.00839126
+0.00884239
+0.00949454
+0.00858501
+0.00792358
+0.00775202
+0.00804279
+0.00884288
+0.0100051
+0.0114696
+0.0128616
+0.0136534
+0.0147311
+0.0160374
+0.0174993
+0.0190937
+0.0207969
+0.0225843
+0.0244375
+0.0263425
+0.0282889
+0.0302687
+0.0322758
+0.0343054
+0.0363536
+0.0384176
+0.0404949
+0.0411804
+0.0413424
+0.0416193
+0.0419962
+0.0424734
+0.0765615
+0.0762461
+0.0759926
+0.0758016
+0.0756735
+0.0756041
+0.0755904
+0.0756402
+0.0757534
+0.0759297
+0.0761685
+0.0764694
+0.0768316
+0.0772543
+0.0777364
+0.0782769
+0.0788745
+0.0795281
+0.0802361
+0.0809854
+0.0794495
+0.0779442
+0.0764711
+0.0750329
+0.0736319
+0.0722702
+0.0709499
+0.0696735
+0.0684435
+0.0672623
+0.0661326
+0.0650571
+0.0640385
+0.0630796
+0.0621762
+0.0613318
+0.0605549
+0.0585022
+0.0563645
+0.054231
+0.0521023
+0.0499789
+0.0478616
+0.0457512
+0.0436487
+0.0415553
+0.0394725
+0.037402
+0.035346
+0.0333071
+0.0312888
+0.0292903
+0.0273126
+0.0253698
+0.0234707
+0.0216268
+0.0198536
+0.0181698
+0.0165894
+0.0151601
+0.0138868
+0.012863
+0.0121519
+0.0117778
+0.0117586
+0.0117373
+0.0109668
+0.0105694
+0.0105698
+0.0108969
+0.0113843
+0.0105913
+0.0100626
+0.00993088
+0.0101599
+0.0108344
+0.0118084
+0.0130745
+0.0143974
+0.0151089
+0.0160895
+0.0172934
+0.0186775
+0.0201924
+0.02181
+0.0235206
+0.0253053
+0.0271495
+0.0290418
+0.0309736
+0.0329377
+0.0349288
+0.0369426
+0.0389754
+0.0410244
+0.0424943
+0.0426513
+0.0429197
+0.0432831
+0.0437463
+0.0781624
+0.0778535
+0.0776052
+0.0774182
+0.0772928
+0.0772248
+0.0772114
+0.0772602
+0.077371
+0.0775436
+0.0777775
+0.0780722
+0.078427
+0.0788411
+0.0793136
+0.0798434
+0.0804294
+0.0810704
+0.081765
+0.0814587
+0.0799319
+0.078436
+0.0769722
+0.0755436
+0.0741523
+0.0728002
+0.0714898
+0.0702232
+0.0690029
+0.0678315
+0.0667115
+0.0656455
+0.0646361
+0.0636862
+0.0627916
+0.0619555
+0.0611076
+0.0589829
+0.0568633
+0.0547493
+0.0526415
+0.0505407
+0.048448
+0.0463643
+0.0442909
+0.0422293
+0.0401815
+0.0381495
+0.036136
+0.034136
+0.0321578
+0.0302089
+0.0282954
+0.026425
+0.0246074
+0.0228555
+0.0211853
+0.0196154
+0.0181613
+0.0168345
+0.0156976
+0.0147996
+0.0141846
+0.0138451
+0.0138289
+0.0137552
+0.0130835
+0.0127522
+0.0127526
+0.0129877
+0.0133662
+0.0126589
+0.01222
+0.0121131
+0.0123001
+0.012863
+0.0137249
+0.0148282
+0.0160856
+0.0167255
+0.0176163
+0.0187223
+0.0200078
+0.0214406
+0.0229879
+0.0246167
+0.0263272
+0.0281044
+0.0299365
+0.0318139
+0.0337292
+0.0356762
+0.0376499
+0.0396465
+0.0416625
+0.0436954
+0.0440226
+0.0442827
+0.0446404
+0.0450897
+0.0797914
+0.0794888
+0.0792456
+0.0790624
+0.0789396
+0.0788731
+0.07886
+0.0789078
+0.0790163
+0.0791852
+0.0794143
+0.079703
+0.0800506
+0.0804563
+0.0809193
+0.0814387
+0.0820133
+0.082642
+0.0833236
+0.0819879
+0.0804712
+0.0789854
+0.077532
+0.076114
+0.0747332
+0.0733919
+0.0720922
+0.0708364
+0.0696269
+0.0684661
+0.0673566
+0.066301
+0.0653018
+0.0643617
+0.0634766
+0.0626497
+0.0616459
+0.0595404
+0.0574413
+0.0553494
+0.0532654
+0.0511902
+0.0491252
+0.0470714
+0.0450306
+0.0430045
+0.0409942
+0.0389949
+0.0370171
+0.0350645
+0.0331417
+0.0312542
+0.0294088
+0.0276139
+0.0258801
+0.0242203
+0.022651
+0.0211893
+0.0198272
+0.0186154
+0.017594
+0.0167976
+0.0162382
+0.0159381
+0.015924
+0.0157732
+0.0152211
+0.0149373
+0.0149137
+0.0150989
+0.0153875
+0.014762
+0.0143874
+0.0142937
+0.0144525
+0.0149345
+0.01571
+0.0166856
+0.0178749
+0.0184608
+0.0192716
+0.0202876
+0.0214796
+0.0228202
+0.0242847
+0.0258521
+0.0274861
+0.0291928
+0.0309605
+0.0327794
+0.0346413
+0.0365397
+0.0384692
+0.0404253
+0.0424044
+0.0444033
+0.0454582
+0.0457101
+0.046062
+0.0464975
+0.0814466
+0.0811502
+0.0809121
+0.0807327
+0.0806124
+0.0805472
+0.0805344
+0.0805812
+0.0806874
+0.0808529
+0.0810773
+0.08136
+0.0817006
+0.0820982
+0.082552
+0.0830612
+0.0836246
+0.0842413
+0.0841078
+0.0825719
+0.081066
+0.0795914
+0.0781493
+0.0767426
+0.0753734
+0.0740436
+0.0727556
+0.0715114
+0.0703136
+0.0691643
+0.0680662
+0.0670217
+0.0660335
+0.0651039
+0.064229
+0.063412
+0.0622566
+0.0601725
+0.0580963
+0.0560288
+0.053971
+0.0519241
+0.0498894
+0.0478685
+0.0458592
+0.0438626
+0.0418855
+0.0399306
+0.0380015
+0.0361022
+0.0342377
+0.0324141
+0.0306387
+0.0289202
+0.0272695
+0.0256997
+0.0242264
+0.0228395
+0.0215745
+0.0204665
+0.0195421
+0.0188276
+0.0183205
+0.0180543
+0.0180419
+0.017832
+0.0173624
+0.0171238
+0.0170639
+0.0172299
+0.0174475
+0.0168875
+0.016561
+0.0164762
+0.0166142
+0.0170351
+0.0177188
+0.0186156
+0.0196886
+0.0202759
+0.0210167
+0.0219521
+0.0230582
+0.0243119
+0.0256915
+0.027177
+0.028746
+0.030392
+0.0321017
+0.0338593
+0.0356649
+0.0375115
+0.0393934
+0.0413058
+0.0432445
+0.0452064
+0.0469521
+0.0471961
+0.0475398
+0.0479642
+0.0831267
+0.0828363
+0.082603
+0.0824272
+0.0823095
+0.0822456
+0.0822331
+0.0822789
+0.082383
+0.082545
+0.0827648
+0.0830418
+0.0833755
+0.0837651
+0.08421
+0.0847092
+0.0852617
+0.0858667
+0.0847338
+0.0832094
+0.0817153
+0.0802526
+0.0788226
+0.0774282
+0.0760713
+0.0747539
+0.0734783
+0.0722466
+0.0710611
+0.0699242
+0.0688382
+0.0678056
+0.066829
+0.0659105
+0.0650419
+0.064235
+0.0629377
+0.060877
+0.0588256
+0.0567846
+0.0547553
+0.0527387
+0.0507305
+0.0487365
+0.0467602
+0.0448038
+0.04287
+0.0409622
+0.039084
+0.03724
+0.0354354
+0.0336768
+0.0319715
+0.0303286
+0.0287589
+0.0272749
+0.0258708
+0.0245667
+0.0233953
+0.0223776
+0.0215353
+0.0208817
+0.0204254
+0.0201864
+0.0201753
+0.019919
+0.0194997
+0.0192985
+0.0192232
+0.0193742
+0.0195346
+0.0190277
+0.0187385
+0.0186605
+0.0187825
+0.0191559
+0.0197664
+0.020593
+0.0215725
+0.0221543
+0.0228343
+0.023698
+0.0247262
+0.0258992
+0.0271984
+0.0286058
+0.0301004
+0.0316761
+0.0333214
+0.0350265
+0.036783
+0.0385833
+0.0404153
+0.0422815
+0.0441775
+0.0460996
+0.0480447
+0.0487352
+0.0490682
+0.0494843
+0.0848247
+0.0845402
+0.0843116
+0.0841394
+0.0840241
+0.0839657
+0.0839546
+0.0839995
+0.0841014
+0.0842602
+0.0844755
+0.0847469
+0.0850739
+0.0854558
+0.0858919
+0.0863813
+0.0869233
+0.0869523
+0.0854114
+0.0838993
+0.0824178
+0.0809677
+0.0795506
+0.0781691
+0.0768253
+0.0755211
+0.0742587
+0.0730402
+0.0718678
+0.0707438
+0.0696706
+0.0686505
+0.0676852
+0.0667669
+0.0659084
+0.0651122
+0.0636869
+0.0616512
+0.0596265
+0.0576126
+0.0556065
+0.0536149
+0.0516394
+0.0496819
+0.0477447
+0.0458304
+0.0439418
+0.0420826
+0.0402567
+0.038469
+0.0367249
+0.035031
+0.0333949
+0.0318256
+0.0303335
+0.0289164
+0.0275822
+0.0263628
+0.0252748
+0.0243358
+0.0235637
+0.0229609
+0.0225468
+0.0223298
+0.0223198
+0.0220261
+0.0216477
+0.0214566
+0.0213889
+0.0215279
+0.0216379
+0.0211782
+0.0209188
+0.0208463
+0.0209555
+0.0212908
+0.0218417
+0.0225925
+0.0235096
+0.0240855
+0.0247124
+0.0255126
+0.0264704
+0.0275694
+0.0287933
+0.0301262
+0.0315489
+0.0330556
+0.0346354
+0.0362788
+0.0379775
+0.0397243
+0.0415133
+0.0433392
+0.0451974
+0.0470779
+0.0489842
+0.0503227
+0.0506452
+0.0510533
+0.086543
+0.0862641
+0.0860401
+0.0858715
+0.0857584
+0.0857012
+0.0856975
+0.0857415
+0.0858413
+0.0859969
+0.0862079
+0.0864738
+0.0867943
+0.0871687
+0.0875962
+0.0880762
+0.0886078
+0.0876675
+0.0861394
+0.0846403
+0.083172
+0.0817353
+0.0803317
+0.0789639
+0.0776339
+0.0763435
+0.0750949
+0.0738902
+0.0727315
+0.071621
+0.0705612
+0.0695521
+0.0685886
+0.0676823
+0.0668355
+0.0660505
+0.0645019
+0.0624893
+0.0604862
+0.0584966
+0.0565219
+0.0545637
+0.0526239
+0.0507044
+0.0488078
+0.0469368
+0.0450947
+0.043285
+0.041512
+0.0397807
+0.0380967
+0.0364666
+0.0348979
+0.0333993
+0.031972
+0.0306142
+0.0293573
+0.0282148
+0.027201
+0.0263307
+0.0256188
+0.0250591
+0.0246802
+0.0244817
+0.0244725
+0.0241481
+0.0238035
+0.0236207
+0.0235592
+0.0236884
+0.0237562
+0.0233362
+0.0230992
+0.0230303
+0.0231319
+0.023436
+0.0239376
+0.0246246
+0.025482
+0.0260578
+0.0266383
+0.0273823
+0.0282769
+0.0293081
+0.0304623
+0.0317252
+0.0330792
+0.0345192
+0.0360349
+0.0376172
+0.039258
+0.0409502
+0.0426879
+0.0444656
+0.0462787
+0.0481232
+0.0499957
+0.0518931
+0.0522665
+0.0526666
+0.0882822
+0.0880089
+0.0877893
+0.087624
+0.0875132
+0.0874572
+0.087456
+0.0875036
+0.0876015
+0.0877539
+0.0879607
+0.0882214
+0.0885355
+0.0889025
+0.0893218
+0.0897926
+0.0899738
+0.0884312
+0.0869165
+0.0854311
+0.0839765
+0.0825539
+0.0811644
+0.0798109
+0.0784952
+0.0772193
+0.0759851
+0.0747947
+0.0736502
+0.0725538
+0.0715043
+0.0704994
+0.069549
+0.0686553
+0.0678207
+0.0670473
+0.0653687
+0.063381
+0.061407
+0.0594483
+0.0575063
+0.0555827
+0.0536797
+0.0517994
+0.0499444
+0.0481176
+0.0463225
+0.0445627
+0.0428426
+0.0411673
+0.0395424
+0.0379744
+0.0364706
+0.0350351
+0.0336583
+0.0323713
+0.0311854
+0.0301122
+0.0291644
+0.0283546
+0.0276903
+0.0271719
+0.0268228
+0.0266398
+0.0266313
+0.0262814
+0.0259651
+0.0257893
+0.025733
+0.0258539
+0.0258864
+0.0254998
+0.0252779
+0.025215
+0.0253107
+0.0255889
+0.0260491
+0.0266818
+0.027475
+0.0280625
+0.0286024
+0.0292965
+0.0301343
+0.0311041
+0.0321939
+0.0333914
+0.0346803
+0.0360565
+0.0375101
+0.0390326
+0.0406163
+0.0422542
+0.0439403
+0.0456693
+0.0474364
+0.0492376
+0.0510692
+0.0529281
+0.053928
+0.0543175
+0.0900412
+0.0897731
+0.0895579
+0.0893959
+0.0892873
+0.0892324
+0.0892312
+0.0892839
+0.0893806
+0.0895301
+0.0897327
+0.0899883
+0.0902963
+0.0906562
+0.0910674
+0.0915292
+0.090771
+0.0892422
+0.0877414
+0.0862702
+0.0848301
+0.083422
+0.0820472
+0.0807085
+0.0794077
+0.0781467
+0.0769273
+0.0757517
+0.074622
+0.0735352
+0.0724923
+0.0715012
+0.0705643
+0.0696837
+0.0688615
+0.0680999
+0.0662941
+0.064335
+0.0623912
+0.0604644
+0.0585561
+0.0566682
+0.0548028
+0.0529624
+0.0511496
+0.0493675
+0.0476194
+0.0459094
+0.0442417
+0.0426214
+0.0410541
+0.0395461
+0.0381038
+0.0367114
+0.0353999
+0.0341786
+0.0330575
+0.0320471
+0.0311583
+0.0304015
+0.0297776
+0.0292961
+0.0289727
+0.0288028
+0.0287899
+0.0284234
+0.0281312
+0.0279611
+0.0279095
+0.0280234
+0.0280261
+0.0276677
+0.0274585
+0.0274006
+0.0274914
+0.0277478
+0.0281727
+0.0287587
+0.0294961
+0.0300932
+0.0305972
+0.0312471
+0.0320339
+0.0329478
+0.0339786
+0.0351152
+0.0363431
+0.0376585
+0.0390526
+0.0405172
+0.0420449
+0.0436292
+0.0452642
+0.0469444
+0.0486652
+0.0504225
+0.0522126
+0.0540322
+0.0556262
+0.0560039
+0.0918187
+0.0915558
+0.0913448
+0.0911859
+0.0910795
+0.0910257
+0.0910246
+0.0910761
+0.0911777
+0.0913242
+0.0915229
+0.0917735
+0.0920755
+0.0924285
+0.0928318
+0.093155
+0.0916136
+0.0900991
+0.0886129
+0.0871564
+0.0857311
+0.0843381
+0.0829785
+0.0816551
+0.0803696
+0.0791238
+0.0779198
+0.0767594
+0.0756386
+0.0745607
+0.0735322
+0.0725554
+0.0716323
+0.0707649
+0.0699555
+0.0692059
+0.0672781
+0.0653485
+0.0634358
+0.0615417
+0.0596678
+0.0578163
+0.0559892
+0.0541891
+0.0524187
+0.0506812
+0.0489801
+0.0473192
+0.045703
+0.0441364
+0.0426249
+0.0411744
+0.0397715
+0.0384395
+0.037189
+0.0360284
+0.0349667
+0.0340131
+0.0331769
+0.0324673
+0.0318788
+0.0314295
+0.0311282
+0.0309698
+0.030952
+0.0305723
+0.0303008
+0.0301299
+0.030088
+0.0301959
+0.030173
+0.0298389
+0.0296406
+0.0295869
+0.0296735
+0.0299113
+0.0303059
+0.0308514
+0.0315399
+0.0321439
+0.0326163
+0.0332267
+0.0339677
+0.0348309
+0.0358075
+0.0368885
+0.0380593
+0.0393174
+0.0406546
+0.0420634
+0.043537
+0.0450689
+0.0466534
+0.0482853
+0.04996
+0.0516733
+0.0534214
+0.0552012
+0.0570096
+0.0577164
+0.0936137
+0.0933559
+0.093149
+0.0929932
+0.0928888
+0.092836
+0.0928349
+0.0928855
+0.0929877
+0.0931353
+0.0933302
+0.0935759
+0.0938722
+0.0942184
+0.0946141
+0.0940192
+0.0924922
+0.0909923
+0.089521
+0.0880795
+0.0866694
+0.0852923
+0.0839498
+0.0826435
+0.0813753
+0.0801468
+0.0789601
+0.0778084
+0.0766984
+0.0756356
+0.074622
+0.0736597
+0.0727505
+0.0718967
+0.0711001
+0.0702346
+0.0683183
+0.0664188
+0.0645379
+0.0626771
+0.0608382
+0.0590234
+0.0572348
+0.0554752
+0.0537472
+0.052054
+0.0503993
+0.0487867
+0.0472208
+0.0457063
+0.0442484
+0.042837
+0.0414878
+0.0402127
+0.0390191
+0.0379146
+0.0369071
+0.0360049
+0.0352161
+0.0345463
+0.0339912
+0.0335702
+0.0332884
+0.0331398
+0.0331148
+0.0327215
+0.0324659
+0.0323016
+0.0322681
+0.0323706
+0.0323258
+0.0320127
+0.0318238
+0.0317739
+0.0318569
+0.0320784
+0.0324467
+0.0329568
+0.0336022
+0.0342089
+0.0346531
+0.0352283
+0.035928
+0.0367451
+0.0376721
+0.0387011
+0.0398221
+0.0410262
+0.0423094
+0.0436649
+0.0450861
+0.0465671
+0.0481023
+0.0496866
+0.0513156
+0.052985
+0.0546913
+0.0564311
+0.0582013
+0.0594595
+0.0954252
+0.0951724
+0.0949694
+0.0948166
+0.0947142
+0.0946625
+0.0946614
+0.094711
+0.0948112
+0.094958
+0.0951491
+0.0953901
+0.0956807
+0.0960205
+0.0964088
+0.0949244
+0.0934122
+0.0919273
+0.0904711
+0.0890451
+0.0876505
+0.0862891
+0.0849623
+0.0836718
+0.0824194
+0.0812068
+0.0800358
+0.0789
+0.0778056
+0.0767581
+0.0757595
+0.0748118
+0.0739168
+0.0730766
+0.072293
+0.0712989
+0.069412
+0.0675433
+0.0656946
+0.0638674
+0.0620639
+0.0602859
+0.058536
+0.0568166
+0.0551307
+0.0534814
+0.0518722
+0.0503069
+0.0487898
+0.0473254
+0.0459069
+0.044543
+0.043247
+0.0420254
+0.0408847
+0.0398319
+0.0388742
+0.0380187
+0.0372725
+0.0366359
+0.036113
+0.035717
+0.0354519
+0.0353099
+0.035244
+0.0348714
+0.0346298
+0.0344758
+0.0344496
+0.0345465
+0.0344834
+0.0341887
+0.0340081
+0.0339613
+0.0340412
+0.0342486
+0.0345938
+0.0350726
+0.0356798
+0.0362886
+0.0367077
+0.0372511
+0.0379135
+0.0386887
+0.0395702
+0.040551
+0.0416241
+0.0427789
+0.0440111
+0.0453157
+0.0466867
+0.0481184
+0.0496056
+0.0511434
+0.0527274
+0.0543535
+0.0560181
+0.0577179
+0.0594498
+0.0612111
+0.0972524
+0.0970043
+0.0968051
+0.0966552
+0.0965548
+0.096504
+0.096503
+0.0965516
+0.0966499
+0.0967947
+0.0969822
+0.0972187
+0.0975039
+0.0978373
+0.0973944
+0.0958711
+0.0943741
+0.0929046
+0.0914639
+0.0900536
+0.0886749
+0.0873294
+0.0860187
+0.0847443
+0.083508
+0.0823114
+0.0811563
+0.0800366
+0.078958
+0.077926
+0.0769426
+0.0760096
+0.0751289
+0.0743024
+0.0735319
+0.0724139
+0.0705567
+0.0687192
+0.066903
+0.0651098
+0.0633416
+0.0616005
+0.059889
+0.0582096
+0.0565653
+0.054959
+0.0533943
+0.051875
+0.0504051
+0.0489804
+0.0476037
+0.0462897
+0.0450441
+0.0438725
+0.0427811
+0.0417761
+0.040864
+0.0400511
+0.0393434
+0.0387367
+0.0382426
+0.0378689
+0.0376112
+0.0374773
+0.0373772
+0.037026
+0.0367968
+0.0366519
+0.0366322
+0.0367235
+0.0366449
+0.0363665
+0.0361931
+0.0361491
+0.0362262
+0.0364212
+0.036746
+0.0371971
+0.0377702
+0.0383806
+0.0387771
+0.0392919
+0.0399204
+0.0406575
+0.0414972
+0.0424334
+0.0434601
+0.0445704
+0.0457543
+0.0470106
+0.0483336
+0.0497179
+0.0511586
+0.0526511
+0.054191
+0.0557745
+0.0573979
+0.0590579
+0.0607517
+0.0624763
+0.0910589
+0.0895897
+0.0881493
+0.0867309
+0.0853451
+0.0839936
+0.082678
+0.0814001
+0.0800239
+0.0786481
+0.0773025
+0.0759959
+0.0747307
+0.0734451
+0.0721863
+0.0709226
+0.0696893
+0.0685039
+0.0673689
+0.0662869
+0.0652605
+0.0641624
+0.0631203
+0.0621379
+0.0612183
+0.0603499
+0.0593918
+0.0584221
+0.0575006
+0.0566354
+0.0558427
+0.0551257
+0.0544444
+0.0538009
+0.052894
+0.0518833
+0.0509262
+0.0500466
+0.0492489
+0.0485269
+0.0478852
+0.0473362
+0.0468332
+0.0464188
+0.0461049
+0.0458825
+0.0457548
+0.0457317
+0.0458135
+0.0459996
+0.0462738
+0.0466175
+0.0470479
+0.0475754
+0.0481916
+0.0488958
+0.0496867
+0.0505602
+0.0515122
+0.051767
+0.0510097
+0.0503365
+0.0497507
+0.0492554
+0.0488265
+0.0484739
+0.0481924
+0.0479465
+0.0477879
+0.047722
+0.0477566
+0.0478849
+0.0480807
+0.0479012
+0.0476965
+0.0475918
+0.0475879
+0.0476744
+0.047852
+0.0481288
+0.0485031
+0.0489726
+0.0495346
+0.0500303
+0.050163
+0.0503906
+0.050712
+0.0511253
+0.0516283
+0.0522184
+0.0528928
+0.0536482
+0.0544813
+0.0553885
+0.0563663
+0.0574111
+0.0585193
+0.0596873
+0.0609118
+0.0621893
+0.089575
+0.088081
+0.0866167
+0.0851803
+0.0837688
+0.0823914
+0.0810499
+0.0797459
+0.0784733
+0.0770699
+0.0757038
+0.0743739
+0.0730806
+0.0718172
+0.0705293
+0.0692868
+0.0680249
+0.06681
+0.0656457
+0.0645347
+0.06348
+0.062426
+0.0613543
+0.0603433
+0.0593958
+0.0585009
+0.057619
+0.0566248
+0.0556903
+0.0547964
+0.0539767
+0.0532346
+0.0525568
+0.0518899
+0.0511153
+0.0500821
+0.0490898
+0.0481768
+0.0473475
+0.0466023
+0.0459336
+0.0453611
+0.0448409
+0.0444079
+0.0440797
+0.0438471
+0.0437134
+0.0436892
+0.0437749
+0.0439695
+0.0442516
+0.0445973
+0.045047
+0.0455976
+0.0462378
+0.0469713
+0.0477941
+0.0487016
+0.0496891
+0.049745
+0.0489565
+0.0482546
+0.0476432
+0.0471258
+0.0466877
+0.0463221
+0.0460427
+0.0457911
+0.0456266
+0.0455576
+0.0455938
+0.0457286
+0.0459336
+0.0458541
+0.0456402
+0.0455309
+0.0455267
+0.0456171
+0.0458028
+0.0460919
+0.0464825
+0.0469722
+0.0475579
+0.047878
+0.0480166
+0.0482544
+0.0485899
+0.0490211
+0.0495455
+0.0501601
+0.0508618
+0.0516469
+0.0525117
+0.0534524
+0.054465
+0.0555456
+0.0566902
+0.0578952
+0.0591567
+0.0604714
+0.0881206
+0.0866015
+0.0851118
+0.0836529
+0.0822207
+0.0808169
+0.0794487
+0.078118
+0.0768268
+0.0755223
+0.0741276
+0.0727723
+0.0714584
+0.0701809
+0.0689021
+0.0676297
+0.066391
+0.0651456
+0.063951
+0.0628102
+0.061726
+0.0607015
+0.0596166
+0.0585755
+0.057599
+0.0566758
+0.0558035
+0.0548561
+0.0538938
+0.052982
+0.0521337
+0.051365
+0.0506794
+0.0500018
+0.0493697
+0.0483019
+0.0472836
+0.046335
+0.0454722
+0.0446951
+0.0439975
+0.0433994
+0.042868
+0.0424149
+0.0420711
+0.0418273
+0.0416871
+0.0416618
+0.0417516
+0.0419533
+0.0422319
+0.042594
+0.0430646
+0.0436378
+0.0443061
+0.0450711
+0.045928
+0.0468716
+0.0478969
+0.0477313
+0.0469157
+0.0461828
+0.0455436
+0.045002
+0.044554
+0.0441741
+0.043881
+0.0436392
+0.0434682
+0.0433957
+0.0434337
+0.0435757
+0.0437907
+0.043821
+0.0435971
+0.0434826
+0.0434783
+0.0435729
+0.0437672
+0.0440697
+0.0444781
+0.0449896
+0.0456007
+0.0457294
+0.0458745
+0.0461233
+0.0464742
+0.0469248
+0.0474724
+0.0481135
+0.0488446
+0.0496616
+0.0505604
+0.0515367
+0.0525862
+0.0537046
+0.0548876
+0.0561313
+0.0574316
+0.0587848
+0.0866414
+0.0851527
+0.0836372
+0.0821521
+0.0806992
+0.0792716
+0.0778763
+0.0765183
+0.0751996
+0.0739223
+0.0725834
+0.0711987
+0.0698552
+0.0685553
+0.067299
+0.0660038
+0.0647485
+0.0635132
+0.0622874
+0.0611154
+0.0600006
+0.0589462
+0.0579096
+0.0568373
+0.0558303
+0.0548775
+0.0539956
+0.0531151
+0.0521245
+0.0511953
+0.0503169
+0.04952
+0.0488085
+0.0481394
+0.0475116
+0.046554
+0.0455112
+0.0445248
+0.0436262
+0.042815
+0.0420863
+0.0414606
+0.0409172
+0.0404422
+0.0400815
+0.0398256
+0.0396783
+0.0396517
+0.039746
+0.0399537
+0.04023
+0.04061
+0.0411033
+0.0417009
+0.0423997
+0.0431985
+0.0440917
+0.0450738
+0.0461391
+0.0457302
+0.044889
+0.0441224
+0.0434529
+0.042885
+0.0424227
+0.0420288
+0.0417223
+0.0414855
+0.0413132
+0.041237
+0.041277
+0.0414267
+0.0416528
+0.0418037
+0.041569
+0.0414489
+0.0414444
+0.0415436
+0.0417474
+0.0420644
+0.0424921
+0.0430272
+0.0435425
+0.0435849
+0.0437371
+0.0439981
+0.0443657
+0.0448376
+0.0454103
+0.0460801
+0.0468429
+0.0476943
+0.0486294
+0.0496437
+0.0507324
+0.0518907
+0.0531142
+0.0543985
+0.0557392
+0.0571325
+0.0851515
+0.083689
+0.0821945
+0.0806828
+0.079203
+0.0777564
+0.0763344
+0.0749484
+0.0736016
+0.0722961
+0.0710341
+0.0696584
+0.0682846
+0.0669543
+0.0656702
+0.0644113
+0.0631244
+0.0618882
+0.0606572
+0.0594531
+0.0583065
+0.0572209
+0.0561997
+0.0551313
+0.0540926
+0.0531087
+0.0521969
+0.0513219
+0.0503884
+0.0494362
+0.048531
+0.0477043
+0.0469652
+0.046305
+0.0456527
+0.0448449
+0.0437733
+0.0427503
+0.0418136
+0.0409658
+0.0402036
+0.0395481
+0.0389919
+0.0384932
+0.038114
+0.0378448
+0.0376898
+0.0376618
+0.0377611
+0.0379719
+0.0382489
+0.0386483
+0.0391664
+0.0397902
+0.040522
+0.0413571
+0.0422892
+0.0433122
+0.0444197
+0.0437438
+0.0428702
+0.0420753
+0.0413727
+0.0407758
+0.0402893
+0.0398865
+0.0395672
+0.0393289
+0.0391622
+0.0390818
+0.039124
+0.0392824
+0.0395207
+0.0398048
+0.0395582
+0.039432
+0.0394272
+0.0395316
+0.0397456
+0.0400784
+0.0405271
+0.0410878
+0.0414007
+0.0414453
+0.0416054
+0.0418796
+0.0422657
+0.0427607
+0.0433608
+0.0440618
+0.044859
+0.0457472
+0.0467214
+0.0477762
+0.0489065
+0.0501071
+0.051373
+0.0526997
+0.0540826
+0.0555175
+0.08368
+0.0822099
+0.0807378
+0.0792469
+0.0777397
+0.0762656
+0.0748248
+0.0734104
+0.0720348
+0.0707003
+0.0694094
+0.0681537
+0.066749
+0.0653875
+0.0640719
+0.0628053
+0.0615354
+0.0602667
+0.059052
+0.057826
+0.0566465
+0.0555284
+0.0544755
+0.0534606
+0.0523888
+0.0513725
+0.0504292
+0.0495607
+0.0486819
+0.0477028
+0.0467795
+0.0459212
+0.045153
+0.0444795
+0.0438244
+0.0431794
+0.0420681
+0.041016
+0.0400386
+0.0391519
+0.0383536
+0.037666
+0.0370952
+0.0365715
+0.0361722
+0.0358884
+0.0357249
+0.0356954
+0.0358001
+0.0359998
+0.0362919
+0.0367126
+0.0372556
+0.0379099
+0.0386773
+0.0395513
+0.040525
+0.0415914
+0.0427435
+0.0417749
+0.0408659
+0.0400433
+0.0393044
+0.0386756
+0.0381624
+0.0377498
+0.0374162
+0.0371763
+0.0370121
+0.0369307
+0.0369754
+0.0371434
+0.0373954
+0.0377565
+0.0375676
+0.0374346
+0.0374296
+0.0375395
+0.0377649
+0.038115
+0.0385865
+0.039175
+0.0392643
+0.0393113
+0.03948
+0.0397689
+0.0401753
+0.0406957
+0.0413259
+0.0420608
+0.0428952
+0.0438232
+0.0448392
+0.0459373
+0.0471117
+0.0483568
+0.0496674
+0.0510385
+0.0524652
+0.0539332
+0.0821742
+0.0807519
+0.0792802
+0.077798
+0.0763113
+0.0748091
+0.0733415
+0.0719062
+0.0705013
+0.0691372
+0.0678165
+0.0665417
+0.0652508
+0.0638573
+0.0625096
+0.0612106
+0.0599635
+0.0586821
+0.0574339
+0.0562372
+0.0550237
+0.0538719
+0.0527859
+0.05177
+0.0507224
+0.0496721
+0.048696
+0.0478004
+0.0469238
+0.0460084
+0.0450665
+0.0441749
+0.0433758
+0.0426742
+0.0420272
+0.0414077
+0.0404074
+0.0393186
+0.0382969
+0.0373754
+0.0365414
+0.035819
+0.0352182
+0.0346818
+0.0342605
+0.0339607
+0.0337879
+0.0337566
+0.0338674
+0.0340544
+0.034363
+0.0348071
+0.0353762
+0.0360646
+0.0368704
+0.0377862
+0.0388042
+0.0399166
+0.040872
+0.0398291
+0.0388795
+0.0380187
+0.0372501
+0.036586
+0.0360431
+0.0356196
+0.0352701
+0.0350284
+0.0348541
+0.0347846
+0.034832
+0.0350109
+0.0352781
+0.0356549
+0.0356005
+0.0354601
+0.0354548
+0.0355709
+0.0358086
+0.0361776
+0.0366741
+0.0372075
+0.0371342
+0.0371839
+0.0373622
+0.0376673
+0.0380961
+0.0386446
+0.0393076
+0.0400796
+0.0409543
+0.0419254
+0.0429863
+0.0441305
+0.0453516
+0.0466438
+0.0480012
+0.0494185
+0.0508814
+0.0523873
+0.0806824
+0.0792566
+0.077829
+0.0763638
+0.074871
+0.073389
+0.0718925
+0.0704323
+0.0690032
+0.0676089
+0.0662577
+0.0649524
+0.0636956
+0.0623666
+0.060986
+0.0596538
+0.0583735
+0.0571375
+0.0558548
+0.0546299
+0.0534413
+0.0522547
+0.0511344
+0.050085
+0.0490681
+0.0480113
+0.0470007
+0.0460722
+0.0452035
+0.0443314
+0.0433801
+0.0424698
+0.0416379
+0.0409066
+0.0402592
+0.0396356
+0.0387908
+0.0376666
+0.036602
+0.0356366
+0.0347727
+0.0340128
+0.0333795
+0.0328276
+0.0323822
+0.0320667
+0.0318836
+0.0318505
+0.0319522
+0.0321406
+0.0324674
+0.0329371
+0.0335346
+0.03426
+0.0351073
+0.0360679
+0.037133
+0.038294
+0.0389968
+0.0379082
+0.0369111
+0.0360109
+0.0352123
+0.034509
+0.0339328
+0.0334903
+0.0331298
+0.0328843
+0.0327005
+0.0326435
+0.032694
+0.0328859
+0.0331697
+0.0335618
+0.033661
+0.0335125
+0.0335069
+0.0336296
+0.033881
+0.0342708
+0.0347945
+0.0350881
+0.0350115
+0.0350643
+0.0352533
+0.0355765
+0.0360303
+0.0366097
+0.0373089
+0.0381214
+0.03904
+0.0400575
+0.0411665
+0.0423599
+0.0436307
+0.0449723
+0.0463787
+0.0478356
+0.0493372
+0.0508889
+0.0792088
+0.0777717
+0.0763532
+0.0749202
+0.0734558
+0.0719583
+0.0704818
+0.0689918
+0.0675399
+0.0661179
+0.0647356
+0.0633989
+0.0621107
+0.0608741
+0.059504
+0.0581379
+0.0568234
+0.0555642
+0.0543183
+0.0530579
+0.0518595
+0.0506806
+0.0495247
+0.0484404
+0.0474291
+0.0463835
+0.0453369
+0.0443739
+0.0434999
+0.0426193
+0.0417403
+0.0408085
+0.0399447
+0.0391816
+0.0385077
+0.037899
+0.0372231
+0.0360659
+0.0349622
+0.0339502
+0.0330525
+0.0322542
+0.0315858
+0.0309945
+0.0305223
+0.0302004
+0.0300059
+0.0299666
+0.0300605
+0.0302644
+0.0306113
+0.0311077
+0.0317374
+0.0325029
+0.0333948
+0.0344033
+0.0355184
+0.0367304
+0.0371561
+0.036012
+0.0349678
+0.0340239
+0.033181
+0.032447
+0.0318335
+0.0313613
+0.0309964
+0.0307339
+0.0305521
+0.0305043
+0.0305584
+0.0307687
+0.0310694
+0.0314821
+0.0317541
+0.0315967
+0.0315908
+0.0317209
+0.0319873
+0.0323999
+0.0329533
+0.032978
+0.0328979
+0.032954
+0.0331551
+0.0334985
+0.03398
+0.0345938
+0.0353329
+0.0361898
+0.0371562
+0.0382238
+0.0393845
+0.0406303
+0.0419535
+0.0433471
+0.044797
+0.0462935
+0.0478436
+0.0494421
+0.0777657
+0.0763051
+0.0748761
+0.0734658
+0.0720272
+0.0705527
+0.0690617
+0.0675915
+0.0661089
+0.064666
+0.0632527
+0.061884
+0.0605636
+0.0592948
+0.0580668
+0.0566661
+0.0553167
+0.0540224
+0.0527873
+0.0515311
+0.0502962
+0.0491281
+0.0479611
+0.0468406
+0.0457975
+0.0447734
+0.0437181
+0.0427186
+0.04181
+0.0409508
+0.0400976
+0.0391835
+0.0383018
+0.0375021
+0.0367939
+0.0361947
+0.0355826
+0.0345135
+0.0333856
+0.0323243
+0.0313803
+0.0305512
+0.0298446
+0.0292107
+0.0287092
+0.0283611
+0.0281539
+0.028112
+0.0282121
+0.0284332
+0.0288021
+0.0293253
+0.0299926
+0.0308014
+0.0317412
+0.0328005
+0.0339683
+0.0352337
+0.0353514
+0.034151
+0.0330481
+0.0320567
+0.0311686
+0.0304029
+0.0297473
+0.0292415
+0.0288675
+0.0285859
+0.0284102
+0.0283648
+0.0284306
+0.0286565
+0.0289815
+0.0294184
+0.0298848
+0.0297175
+0.0297112
+0.029851
+0.0301339
+0.0305715
+0.0310992
+0.0308791
+0.0307949
+0.0308549
+0.0310695
+0.0314358
+0.0319484
+0.0326004
+0.0333837
+0.0342893
+0.0353078
+0.0364297
+0.0376457
+0.0389471
+0.0403256
+0.0417672
+0.0432575
+0.0448055
+0.0464053
+0.0480517
+0.0763583
+0.0748702
+0.0734172
+0.0719974
+0.0705962
+0.0691519
+0.0676669
+0.0661834
+0.0647204
+0.0632464
+0.0618119
+0.0604106
+0.0590573
+0.0577553
+0.0565084
+0.055242
+0.0538569
+0.0525267
+0.0512556
+0.050037
+0.0487814
+0.0475761
+0.0464429
+0.0452903
+0.0442107
+0.0431896
+0.042151
+0.0411134
+0.0401685
+0.0393232
+0.0384472
+0.0375956
+0.0367102
+0.0358744
+0.0351332
+0.0345106
+0.0339308
+0.0330335
+0.0318723
+0.0307686
+0.0297753
+0.0289012
+0.0281533
+0.0274814
+0.0269522
+0.0265752
+0.026354
+0.0263092
+0.0264161
+0.0266563
+0.0270495
+0.0276019
+0.0283097
+0.0291653
+0.0301561
+0.0312692
+0.032492
+0.0338127
+0.0335167
+0.0323314
+0.0311641
+0.0301111
+0.0291743
+0.0283637
+0.0276752
+0.0271308
+0.0267471
+0.0264428
+0.0262764
+0.0262272
+0.0263131
+0.0265571
+0.0269099
+0.0273745
+0.0279602
+0.0278818
+0.0278751
+0.0280275
+0.0283286
+0.0287937
+0.0290298
+0.0287939
+0.0287051
+0.0287694
+0.0289995
+0.0293916
+0.0299392
+0.030634
+0.0314663
+0.0324255
+0.0335007
+0.0346811
+0.0359563
+0.0373167
+0.0387481
+0.040231
+0.0417763
+0.0433771
+0.0450277
+0.0467226
+0.0749884
+0.0734725
+0.0719914
+0.0705471
+0.0691353
+0.0677467
+0.0662967
+0.0648007
+0.0633259
+0.0618713
+0.0604072
+0.058976
+0.0575917
+0.0562562
+0.0549753
+0.0537531
+0.052448
+0.0510811
+0.0497731
+0.0485173
+0.0473194
+0.0460759
+0.0449049
+0.0437947
+0.0426773
+0.0416452
+0.0406053
+0.0395644
+0.0385817
+0.0377007
+0.0368476
+0.0360148
+0.0351689
+0.0343059
+0.0335335
+0.0328695
+0.0323088
+0.031636
+0.0304216
+0.029292
+0.028249
+0.0273271
+0.0265348
+0.0258208
+0.0252594
+0.0248541
+0.0246174
+0.0245695
+0.0246839
+0.0249453
+0.0253647
+0.025949
+0.0267007
+0.0276062
+0.028651
+0.0298203
+0.0311001
+0.0322259
+0.0316951
+0.0304983
+0.0293228
+0.0282012
+0.0272093
+0.0263403
+0.0256187
+0.0250296
+0.024622
+0.0243082
+0.0241472
+0.0240936
+0.0242087
+0.0244737
+0.0248585
+0.0253551
+0.0259864
+0.0261009
+0.0260937
+0.0262603
+0.0265814
+0.0270766
+0.0269796
+0.0267256
+0.0266316
+0.0267008
+0.0269486
+0.0273701
+0.0279573
+0.0287001
+0.0295869
+0.0306051
+0.031742
+0.0329853
+0.0343236
+0.0357425
+0.0372163
+0.0387579
+0.0403596
+0.0420144
+0.0437164
+0.0454603
+0.0736297
+0.0721144
+0.0706048
+0.0691315
+0.0676901
+0.0662889
+0.0649128
+0.0634635
+0.0619569
+0.060492
+0.0590472
+0.0575822
+0.0561636
+0.0547958
+0.05348
+0.0522229
+0.0510289
+0.0496899
+0.0483443
+0.0470505
+0.0458221
+0.0446274
+0.0434173
+0.0422862
+0.0411919
+0.0401236
+0.0390966
+0.0380786
+0.0370564
+0.0361383
+0.0353115
+0.0344639
+0.033634
+0.0327977
+0.0320013
+0.0312928
+0.0307159
+0.030213
+0.0290638
+0.0278804
+0.0268142
+0.0258429
+0.0250036
+0.0242445
+0.0236457
+0.0232123
+0.0229587
+0.0229073
+0.02303
+0.0233114
+0.0237583
+0.024381
+0.0251796
+0.0261379
+0.027239
+0.0284664
+0.0297949
+0.0301577
+0.0296227
+0.0286524
+0.0274977
+0.0263349
+0.0252707
+0.0243437
+0.0235728
+0.0229449
+0.0224996
+0.0221844
+0.0220256
+0.0219668
+0.0221033
+0.0223989
+0.0228318
+0.0233665
+0.0240441
+0.0243869
+0.0243792
+0.0245565
+0.0248996
+0.0254147
+0.0249533
+0.0246784
+0.0245783
+0.0246534
+0.0249215
+0.0253766
+0.0260089
+0.0268058
+0.0277532
+0.0288361
+0.0300401
+0.031351
+0.0327539
+0.0342165
+0.0357532
+0.0373552
+0.0390145
+0.040724
+0.0424778
+0.0442705
+0.0722339
+0.0707586
+0.0692597
+0.0677572
+0.0662859
+0.0648543
+0.063466
+0.0621016
+0.0606361
+0.0591385
+0.0576853
+0.0562392
+0.0547858
+0.0533828
+0.0520341
+0.0507411
+0.0495114
+0.0483464
+0.0469621
+0.045641
+0.0443744
+0.043181
+0.0419846
+0.0408138
+0.0397294
+0.0386555
+0.0376428
+0.0366168
+0.0355796
+0.0346223
+0.0337802
+0.0329624
+0.0321467
+0.03137
+0.0305372
+0.029794
+0.0291885
+0.0287128
+0.0277829
+0.0265733
+0.0254556
+0.024459
+0.0235767
+0.0227701
+0.0221315
+0.0216678
+0.0213959
+0.0213408
+0.0214724
+0.021774
+0.0222517
+0.0229155
+0.0237633
+0.0247764
+0.0259354
+0.0272105
+0.0285878
+0.0281081
+0.0275333
+0.0268583
+0.0256229
+0.0245214
+0.0233758
+0.0223835
+0.0215425
+0.020882
+0.0203916
+0.0200751
+0.0199098
+0.0198539
+0.0200144
+0.0203427
+0.0208371
+0.0214057
+0.0221412
+0.0227547
+0.0227465
+0.0229314
+0.0232984
+0.0234578
+0.0229571
+0.022658
+0.0225509
+0.0226327
+0.0229245
+0.0234185
+0.0241022
+0.02496
+0.0259748
+0.0271288
+0.0284052
+0.0297871
+0.0312358
+0.0327659
+0.0343675
+0.0360312
+0.0377487
+0.0395131
+0.0413183
+0.0431592
+0.0708302
+0.0693742
+0.0679074
+0.0664267
+0.0649253
+0.063463
+0.0620436
+0.0606701
+0.0593165
+0.0578364
+0.0563496
+0.054905
+0.0534623
+0.0520236
+0.0506388
+0.0493122
+0.0480459
+0.0468478
+0.0456422
+0.0442817
+0.0429895
+0.0417566
+0.0406031
+0.0394083
+0.038284
+0.0372548
+0.0362065
+0.0351986
+0.0341751
+0.0331808
+0.0323011
+0.0315274
+0.0307291
+0.0299173
+0.0291644
+0.0283852
+0.0277483
+0.0272475
+0.0266168
+0.0253636
+0.0242159
+0.0231661
+0.0222541
+0.0214116
+0.0207385
+0.0202427
+0.0199514
+0.0198925
+0.0200336
+0.0203565
+0.0208667
+0.0215731
+0.0224717
+0.0235404
+0.0247443
+0.0260679
+0.0268668
+0.0260814
+0.0254609
+0.0250111
+0.0238021
+0.022612
+0.0215371
+0.0204579
+0.0195469
+0.0188326
+0.0183031
+0.0179853
+0.0178006
+0.0177599
+0.0179495
+0.0183178
+0.0188794
+0.0194915
+0.0202965
+0.0211864
+0.0211837
+0.0214003
+0.0218
+0.0215461
+0.0209998
+0.0206724
+0.0205571
+0.0206468
+0.0209662
+0.0215052
+0.0222478
+0.0231744
+0.024264
+0.0254956
+0.0268494
+0.0282804
+0.0298012
+0.0314012
+0.033069
+0.0347948
+0.0365705
+0.038389
+0.0402447
+0.0421325
+0.0694673
+0.0679821
+0.0665359
+0.0650747
+0.063606
+0.0621177
+0.0606669
+0.0592615
+0.0579049
+0.0565588
+0.0550687
+0.0535897
+0.0521542
+0.0507227
+0.0493014
+0.047938
+0.0466373
+0.0454021
+0.0442409
+0.0429911
+0.0416592
+0.0404009
+0.039209
+0.0380627
+0.0369122
+0.0358436
+0.0348489
+0.0338277
+0.0328444
+0.0318248
+0.0309066
+0.03012
+0.0293411
+0.028552
+0.0278494
+0.0270593
+0.026396
+0.0258848
+0.0255134
+0.0242823
+0.0230974
+0.0220156
+0.0210539
+0.0201614
+0.019458
+0.018937
+0.0186253
+0.0185686
+0.018722
+0.0190858
+0.0196291
+0.0203784
+0.0213274
+0.0224354
+0.0236855
+0.025065
+0.0249318
+0.0240835
+0.0234101
+0.0229193
+0.0220487
+0.0207583
+0.0196283
+0.0185888
+0.0175978
+0.0168008
+0.0162415
+0.0159102
+0.0157136
+0.0156923
+0.0159132
+0.0163356
+0.0169583
+0.0176417
+0.0185272
+0.019498
+0.0197318
+0.0199641
+0.0204271
+0.0196925
+0.0190932
+0.0187325
+0.0186076
+0.0187066
+0.0190586
+0.01965
+0.02046
+0.021464
+0.022636
+0.0239515
+0.0253591
+0.0268666
+0.028463
+0.0301341
+0.0318683
+0.0336558
+0.0354885
+0.0373597
+0.039264
+0.0411968
+0.0681476
+0.0666329
+0.0651568
+0.0637217
+0.0622664
+0.0608088
+0.0593391
+0.0579015
+0.0565123
+0.055175
+0.0538382
+0.0523307
+0.0508614
+0.0494445
+0.0480266
+0.0466261
+0.0452882
+0.0440179
+0.0428192
+0.0417012
+0.0404037
+0.0391064
+0.0378888
+0.036746
+0.0356106
+0.0345138
+0.0335121
+0.0325466
+0.0315233
+0.0305519
+0.0296087
+0.0287866
+0.0280528
+0.0272819
+0.0265456
+0.0258333
+0.0251399
+0.0246203
+0.0242656
+0.0233537
+0.022119
+0.0210173
+0.0200222
+0.0190814
+0.0183369
+0.017799
+0.0174725
+0.0174118
+0.017573
+0.0179724
+0.0185506
+0.0193586
+0.0203374
+0.0214864
+0.0227887
+0.0241278
+0.0230428
+0.0221221
+0.021387
+0.0208479
+0.0203302
+0.0189766
+0.0177334
+0.0166864
+0.0156982
+0.0148143
+0.0141804
+0.0138234
+0.0136453
+0.0136502
+0.0139047
+0.0144117
+0.0151108
+0.0158789
+0.0168218
+0.0179188
+0.0184251
+0.0186737
+0.0187705
+0.0179151
+0.0172543
+0.0168543
+0.0167179
+0.0168281
+0.0172185
+0.0178709
+0.0187579
+0.0198481
+0.02111
+0.0224852
+0.0239732
+0.0255625
+0.0272355
+0.0289775
+0.0307769
+0.0326242
+0.0345117
+0.0364332
+0.0383835
+0.0403585
+0.0668332
+0.0653287
+0.0638231
+0.0623574
+0.0609352
+0.0594869
+0.0580422
+0.0565937
+0.0551715
+0.053801
+0.0524861
+0.0511347
+0.04963
+0.048178
+0.046783
+0.0453819
+0.0440062
+0.0426987
+0.0414646
+0.040309
+0.0392303
+0.0378929
+0.0366378
+0.0354694
+0.0343806
+0.0332587
+0.032235
+0.0313137
+0.0303032
+0.0293653
+0.02841
+0.0275523
+0.0268463
+0.0261192
+0.0253622
+0.0247178
+0.0240183
+0.0234739
+0.0231032
+0.0225849
+0.0213216
+0.0201764
+0.0191857
+0.0182022
+0.0174203
+0.0168533
+0.0165122
+0.0164482
+0.0166266
+0.017036
+0.0176449
+0.0184948
+0.019526
+0.0207201
+0.0220676
+0.022385
+0.0212118
+0.0202079
+0.0194004
+0.0188034
+0.0184057
+0.0172518
+0.0159146
+0.0147389
+0.0138099
+0.0128764
+0.0121606
+0.0117685
+0.0115832
+0.0116465
+0.0119437
+0.0125673
+0.0133068
+0.0140723
+0.015119
+0.0163933
+0.0172951
+0.0175597
+0.0171336
+0.0162041
+0.0154974
+0.0150508
+0.0149109
+0.0150343
+0.0154701
+0.016193
+0.017167
+0.0183519
+0.0196794
+0.0211379
+0.0227144
+0.0243859
+0.0261342
+0.027945
+0.0298068
+0.0317107
+0.0336495
+0.0356175
+0.0376092
+0.0396215
+0.0654939
+0.0640248
+0.0625325
+0.0610412
+0.0595875
+0.0581801
+0.0567404
+0.0553107
+0.0538865
+0.0524824
+0.0511337
+0.0498448
+0.0484664
+0.0469784
+0.0455472
+0.0441782
+0.0427981
+0.0414525
+0.0401812
+0.0389903
+0.037886
+0.03677
+0.0354752
+0.0342716
+0.0331632
+0.0320798
+0.0310295
+0.0300897
+0.0291781
+0.0282221
+0.0273074
+0.0264352
+0.0256985
+0.0250461
+0.0243151
+0.0236934
+0.023037
+0.022483
+0.0220974
+0.0218882
+0.0207059
+0.019546
+0.0185216
+0.0175538
+0.016742
+0.0161511
+0.0157946
+0.0157277
+0.0159142
+0.0163415
+0.0169753
+0.0178571
+0.018923
+0.0201529
+0.0215359
+0.0207
+0.0194553
+0.0183556
+0.0174626
+0.0167959
+0.0163494
+0.0155877
+0.0141819
+0.0128699
+0.0117981
+0.0109741
+0.0101948
+0.00974501
+0.00957576
+0.0096921
+0.0100676
+0.0107806
+0.0115014
+0.012379
+0.0135572
+0.0148201
+0.0159262
+0.0166548
+0.0156328
+0.0146082
+0.013828
+0.0133266
+0.013174
+0.013358
+0.0138476
+0.0146509
+0.0157208
+0.0169756
+0.0183877
+0.0199409
+0.0216048
+0.0233559
+0.0251759
+0.0270509
+0.0289702
+0.0309251
+0.0329086
+0.0349169
+0.0369459
+0.0389924
+0.0642011
+0.0627018
+0.0612442
+0.0597657
+0.0582905
+0.0568516
+0.0554613
+0.0540319
+0.0526199
+0.0512237
+0.0498409
+0.0485176
+0.0472589
+0.0458521
+0.0443846
+0.0429787
+0.0416406
+0.0402869
+0.0389777
+0.0377503
+0.0366111
+0.0355679
+0.0344109
+0.0331687
+0.0320284
+0.0309581
+0.0299233
+0.0289482
+0.0280939
+0.0271835
+0.0263149
+0.0254357
+0.0246921
+0.0240895
+0.023408
+0.0227848
+0.022214
+0.0216358
+0.0212532
+0.0210559
+0.0202838
+0.0191464
+0.0180999
+0.0171322
+0.0163122
+0.0157134
+0.0153508
+0.015282
+0.0154815
+0.0159204
+0.0165703
+0.0174725
+0.0185606
+0.019813
+0.0206005
+0.0191152
+0.0177765
+0.0165859
+0.015592
+0.0148403
+0.014333
+0.013957
+0.0124931
+0.0111106
+0.00985856
+0.00894064
+0.00825598
+0.00776192
+0.00762297
+0.0078085
+0.0083141
+0.00917031
+0.00984212
+0.0108548
+0.0120214
+0.012997
+0.0142348
+0.0152499
+0.0143112
+0.0131842
+0.0123142
+0.0117588
+0.0115855
+0.0117898
+0.0123433
+0.0132389
+0.0144144
+0.015767
+0.017278
+0.0189225
+0.0206687
+0.0224927
+0.0243772
+0.0263072
+0.0282752
+0.0302738
+0.0322973
+0.0343414
+0.0364025
+0.0384779
+0.062958
+0.0614283
+0.0599397
+0.0584953
+0.057033
+0.0555721
+0.0541547
+0.0527843
+0.0513675
+0.0499762
+0.0486124
+0.0472548
+0.0459615
+0.0447372
+0.0433017
+0.0418594
+0.0404844
+0.0391836
+0.0378627
+0.0365979
+0.0354236
+0.0343467
+0.033308
+0.03217
+0.030993
+0.0298856
+0.028884
+0.0279321
+0.0270457
+0.0262716
+0.0253759
+0.0245765
+0.0238104
+0.0231976
+0.0226396
+0.0220395
+0.0215219
+0.0209678
+0.0205786
+0.0203773
+0.0200733
+0.0189442
+0.0179112
+0.0169608
+0.0161321
+0.0155263
+0.0151593
+0.0150895
+0.0153357
+0.015767
+0.0164278
+0.0173375
+0.0184529
+0.0197121
+0.0192582
+0.0176604
+0.016202
+0.0149232
+0.0138152
+0.0129601
+0.012376
+0.0120804
+0.0109179
+0.0094008
+0.0080443
+0.00692418
+0.00623537
+0.0058295
+0.0057554
+0.00607298
+0.00677383
+0.00765478
+0.00840244
+0.00941011
+0.0101686
+0.0113021
+0.0126799
+0.0139052
+0.0132071
+0.0119791
+0.01103
+0.0104181
+0.0102221
+0.0104413
+0.0110608
+0.012052
+0.0133326
+0.0147858
+0.0163876
+0.0181131
+0.0199285
+0.0218121
+0.0237485
+0.0257257
+0.027735
+0.0297699
+0.0318255
+0.033898
+0.0359845
+0.0380827
+0.0617675
+0.0602077
+0.0586881
+0.0572121
+0.0557831
+0.0543395
+0.0528949
+0.0515024
+0.0501558
+0.0487544
+0.0473877
+0.0460616
+0.0447338
+0.0434759
+0.0422692
+0.0408272
+0.0394161
+0.0380789
+0.0368235
+0.0355434
+0.034333
+0.0332231
+0.0322214
+0.0311699
+0.0300817
+0.0289396
+0.027904
+0.0270068
+0.0261395
+0.0253799
+0.0245925
+0.0238353
+0.0230868
+0.0224667
+0.021985
+0.0214705
+0.0209525
+0.0204578
+0.0200793
+0.019915
+0.0197897
+0.0189942
+0.0179639
+0.0170711
+0.016248
+0.0156467
+0.0152826
+0.0152134
+0.0154576
+0.0158856
+0.0165417
+0.0174454
+0.0185649
+0.0198265
+0.0180824
+0.0163704
+0.0147852
+0.013372
+0.0121417
+0.011179
+0.0105116
+0.0101913
+0.00920805
+0.00782386
+0.00631416
+0.00501236
+0.00413596
+0.00394064
+0.00400925
+0.00455625
+0.0054806
+0.00647514
+0.00708622
+0.00751629
+0.00847841
+0.00977159
+0.011337
+0.0127944
+0.0122835
+0.0110507
+0.0100366
+0.00939262
+0.00917474
+0.00941338
+0.0100957
+0.0111728
+0.0125435
+0.0140786
+0.0157491
+0.0175346
+0.0194033
+0.0213333
+0.0233095
+0.025321
+0.02736
+0.0294208
+0.0314992
+0.0335919
+0.0356963
+0.0378105
+0.0605639
+0.0590341
+0.0574927
+0.0559852
+0.0545241
+0.0531131
+0.0516913
+0.0502662
+0.0488977
+0.0475838
+0.0462013
+0.0448638
+0.0435817
+0.0422896
+0.0410724
+0.0398454
+0.0384431
+0.0370708
+0.0357801
+0.0345693
+0.0333509
+0.0322071
+0.0311756
+0.0301771
+0.0292044
+0.0281326
+0.0270662
+0.0261403
+0.0253702
+0.0246073
+0.0239497
+0.0231761
+0.022521
+0.0219061
+0.0214888
+0.0210804
+0.0205883
+0.0201466
+0.0197776
+0.0196128
+0.0194696
+0.0192088
+0.0182809
+0.0174554
+0.0166509
+0.0160567
+0.0157133
+0.0156461
+0.0158778
+0.0162935
+0.0169405
+0.017824
+0.0189211
+0.0189731
+0.0171024
+0.0152867
+0.0135756
+0.0120211
+0.0106523
+0.00954051
+0.00879893
+0.00841449
+0.00764012
+0.00624976
+0.00472983
+0.00324387
+0.00210564
+0.00183888
+0.00242062
+0.00321218
+0.00443209
+0.00531369
+0.00528244
+0.00583416
+0.00701737
+0.00852687
+0.0102835
+0.0119529
+0.011431
+0.0104504
+0.00940919
+0.00876028
+0.00853919
+0.00881994
+0.00954475
+0.0106776
+0.0120957
+0.0136801
+0.0153939
+0.0172163
+0.0191161
+0.0210725
+0.023071
+0.0251016
+0.0271571
+0.0292322
+0.0313231
+0.0334268
+0.035541
+0.0376639
+0.0593309
+0.0578422
+0.0563287
+0.0548185
+0.0533253
+0.0518818
+0.0504838
+0.0490958
+0.0476938
+0.0463529
+0.0450465
+0.0437023
+0.0424118
+0.0411668
+0.0399132
+0.0387366
+0.0375008
+0.0361675
+0.0348433
+0.0335988
+0.032454
+0.0312997
+0.030232
+0.0292834
+0.0283123
+0.0274487
+0.0263841
+0.0254334
+0.0246412
+0.0239736
+0.0233448
+0.0227073
+0.0221018
+0.0215284
+0.0211175
+0.0208032
+0.0204237
+0.0200462
+0.0197006
+0.0195351
+0.0193914
+0.0194108
+0.0188204
+0.0180071
+0.0172818
+0.0167112
+0.0163982
+0.0163338
+0.0165312
+0.0169659
+0.0175974
+0.0184494
+0.0195114
+0.0182938
+0.0163457
+0.0144556
+0.0126323
+0.0109447
+0.00944038
+0.00816517
+0.0073188
+0.00683895
+0.00629065
+0.00467299
+0.00323496
+0.00163291
+0.000204226
+-0.000155578
+0.000700917
+0.00211576
+0.00310945
+0.00371973
+0.00379623
+0.00456156
+0.00592162
+0.00765064
+0.00956947
+0.0114259
+0.0108775
+0.0100992
+0.00919233
+0.00858499
+0.00835926
+0.00867821
+0.0094134
+0.0105423
+0.0119694
+0.0135869
+0.0153112
+0.0171423
+0.0190495
+0.0210121
+0.0230159
+0.0250509
+0.0271102
+0.0291877
+0.0312806
+0.0333861
+0.0355019
+0.0376263
+0.058124
+0.0566346
+0.0551603
+0.0536659
+0.0521911
+0.0507152
+0.0492926
+0.0479097
+0.0465437
+0.0451676
+0.0438579
+0.0425734
+0.0412649
+0.0400155
+0.0388175
+0.0376066
+0.0364867
+0.0352727
+0.034022
+0.0327463
+0.0315706
+0.0305047
+0.0294082
+0.0284384
+0.0275118
+0.026659
+0.0258456
+0.0248998
+0.0240901
+0.0234577
+0.0228842
+0.0224051
+0.0218099
+0.0213611
+0.020951
+0.0207307
+0.0204671
+0.0201171
+0.0198332
+0.0196688
+0.0195597
+0.019579
+0.0195399
+0.0187908
+0.0181481
+0.0176137
+0.0173067
+0.0172457
+0.0174349
+0.0178673
+0.0184488
+0.0192632
+0.0191813
+0.0177824
+0.0158577
+0.0139013
+0.0119941
+0.0102014
+0.00856823
+0.00718025
+0.00615205
+0.0055609
+0.00510777
+0.0034969
+0.00182129
+0.000266292
+-0.00145628
+-0.00189129
+-0.000695212
+0.000686005
+0.00150073
+0.00273525
+0.00307024
+0.00402314
+0.00552141
+0.00734524
+0.0087879
+0.0103315
+0.010665
+0.00996355
+0.00938625
+0.00883209
+0.00870614
+0.00900551
+0.00973478
+0.010847
+0.0122403
+0.0138261
+0.0155239
+0.0173326
+0.0192209
+0.0211676
+0.0231579
+0.0251815
+0.0272308
+0.0292998
+0.0313853
+0.0334842
+0.0355942
+0.0377134
+0.0569088
+0.055445
+0.0539795
+0.0525241
+0.0510519
+0.0496143
+0.048163
+0.0467654
+0.0453992
+0.0440587
+0.042715
+0.0414435
+0.0401855
+0.0389047
+0.0377047
+0.036573
+0.0354205
+0.0343573
+0.0331845
+0.0320212
+0.0308179
+0.0297092
+0.0287117
+0.0277346
+0.026836
+0.025975
+0.0252302
+0.0245248
+0.0237291
+0.0230719
+0.0225417
+0.0221025
+0.0217119
+0.0213011
+0.020957
+0.0207621
+0.0206344
+0.0204241
+0.0201904
+0.0200098
+0.0199684
+0.0199873
+0.0200939
+0.0197871
+0.0192039
+0.0187225
+0.0184321
+0.0183747
+0.0185545
+0.0189613
+0.0195102
+0.0190002
+0.0178785
+0.0169345
+0.0155682
+0.0136789
+0.0117356
+0.00989619
+0.00820321
+0.00674071
+0.00559735
+0.00468028
+0.00419682
+0.00282819
+0.00122707
+-0.000469599
+-0.00221616
+-0.00312289
+-0.00135519
+0.000544621
+0.00160778
+0.00288164
+0.00353317
+0.00412745
+0.00462761
+0.00571214
+0.00724987
+0.0090583
+0.0108977
+0.0103028
+0.00988713
+0.00951912
+0.009412
+0.00973471
+0.0104549
+0.0115081
+0.0128424
+0.0143802
+0.0160358
+0.0177925
+0.0196367
+0.0215458
+0.0235041
+0.0255003
+0.0275259
+0.0295742
+0.0316416
+0.0337246
+0.0358204
+0.0379269
+0.0557532
+0.0542582
+0.0528053
+0.0513725
+0.0499411
+0.0484919
+0.0470816
+0.0456784
+0.0443107
+0.0429654
+0.041656
+0.0403512
+0.0391257
+0.0378787
+0.0366529
+0.035512
+0.0344466
+0.0333669
+0.0323766
+0.0312565
+0.0301874
+0.0290416
+0.0280204
+0.027138
+0.0262723
+0.0254287
+0.0246988
+0.0241141
+0.0234846
+0.0228646
+0.0223295
+0.0219708
+0.0216809
+0.0214259
+0.0211475
+0.0209634
+0.020992
+0.0209402
+0.0207551
+0.0205532
+0.0205699
+0.0205444
+0.0206352
+0.020881
+0.0203984
+0.0200105
+0.0197372
+0.0196837
+0.0198535
+0.0202213
+0.019316
+0.0179528
+0.016761
+0.0157339
+0.0148349
+0.0136614
+0.0118083
+0.00998229
+0.00830966
+0.00688611
+0.00559851
+0.00452422
+0.00378876
+0.0023102
+0.00106849
+-0.000293486
+-0.0021211
+-0.00210179
+-0.000620511
+0.000628931
+0.00058167
+0.000913193
+0.00149451
+0.00199193
+0.00268559
+0.00419258
+0.00606521
+0.00807607
+0.0101616
+0.0109623
+0.0106342
+0.0104582
+0.0105037
+0.010832
+0.0115101
+0.0125033
+0.0137413
+0.0151883
+0.0167656
+0.0184684
+0.0202651
+0.022133
+0.0240458
+0.0260003
+0.0279898
+0.0300065
+0.032046
+0.0341043
+0.0361781
+0.038265
+0.0546611
+0.0531354
+0.0516509
+0.0502181
+0.0488229
+0.0474197
+0.0459969
+0.0446164
+0.0432729
+0.041937
+0.0406223
+0.0393507
+0.0380929
+0.0369224
+0.0356918
+0.0345325
+0.0334627
+0.0324714
+0.0314766
+0.030554
+0.0295252
+0.028527
+0.0274867
+0.0265866
+0.0258206
+0.0250626
+0.0243217
+0.0237603
+0.0233277
+0.0227965
+0.0223312
+0.0220022
+0.0217583
+0.0216177
+0.0215544
+0.0213738
+0.0214169
+0.0215944
+0.0214904
+0.0213048
+0.0212933
+0.0213006
+0.0213881
+0.0216267
+0.0217389
+0.0214027
+0.0211851
+0.0211351
+0.0212709
+0.0199547
+0.0185334
+0.0171151
+0.0158585
+0.0147626
+0.0138004
+0.013047
+0.0115764
+0.00980191
+0.00823039
+0.00690526
+0.00547472
+0.00416892
+0.003131
+0.00147666
+-0.000198024
+-0.00161001
+-0.00222528
+-0.000777204
+0.000243741
+-0.000346478
+-0.00147232
+-0.00115789
+-0.00060027
+-2.93669e-05
+0.00116828
+0.00325648
+0.00542008
+0.00758645
+0.00976216
+0.0119433
+0.0116624
+0.0116083
+0.0117927
+0.0121457
+0.0127953
+0.0137294
+0.0148784
+0.0162313
+0.0177364
+0.019354
+0.0210753
+0.0228771
+0.0247418
+0.026656
+0.02861
+0.0305899
+0.0325929
+0.0346187
+0.0366634
+0.0387242
+0.0535936
+0.0520782
+0.050565
+0.0491006
+0.0476918
+0.0463376
+0.0449525
+0.0435794
+0.0422275
+0.0409191
+0.039655
+0.0383746
+0.0371608
+0.0359599
+0.03483
+0.0336483
+0.0325688
+0.0315848
+0.0306817
+0.0297745
+0.0288825
+0.0279828
+0.0270921
+0.0261784
+0.0254211
+0.0248061
+0.0241383
+0.0235726
+0.0232007
+0.0228161
+0.0224871
+0.022221
+0.0220217
+0.0219412
+0.0219572
+0.0219824
+0.0220243
+0.0222397
+0.022388
+0.0222099
+0.0221988
+0.0222475
+0.0223314
+0.02256
+0.0227341
+0.0228793
+0.0227097
+0.0225605
+0.0209579
+0.0193987
+0.0179679
+0.0165197
+0.015214
+0.014068
+0.0130548
+0.0122504
+0.0112734
+0.00947995
+0.00782611
+0.00642226
+0.00515744
+0.003858
+0.00288232
+0.00136892
+-0.000324962
+-0.00194577
+-0.00145178
+-0.00024637
+-0.000472365
+-0.000635905
+-0.000942082
+-0.000907109
+8.83907e-05
+0.000141481
+0.00133366
+0.00335356
+0.00545929
+0.00761254
+0.00978244
+0.0119599
+0.0129822
+0.0129865
+0.0132045
+0.0136331
+0.0142514
+0.015107
+0.0162023
+0.0174557
+0.0188782
+0.0204369
+0.022074
+0.0238003
+0.0255978
+0.0274525
+0.0293534
+0.0312923
+0.0332625
+0.0350596
+0.03665
+0.0382535
+0.0525863
+0.0510413
+0.049545
+0.048057
+0.0466167
+0.0452367
+0.0439159
+0.0425648
+0.041253
+0.0399269
+0.0386648
+0.0374784
+0.0362422
+0.0350993
+0.0339759
+0.0328791
+0.031776
+0.0307783
+0.0298888
+0.0290824
+0.0282578
+0.0274599
+0.0266923
+0.0259427
+0.0251783
+0.024586
+0.024084
+0.0235545
+0.0231827
+0.0230107
+0.0227083
+0.0225912
+0.0224826
+0.0224176
+0.0225033
+0.0227013
+0.0228094
+0.0230589
+0.023309
+0.0232864
+0.0232759
+0.0233151
+0.0234156
+0.0236152
+0.0237677
+0.0240983
+0.0239258
+0.022245
+0.0206411
+0.0190794
+0.0176227
+0.016201
+0.0148674
+0.0136924
+0.012647
+0.0117327
+0.0106015
+0.0095949
+0.00793319
+0.00652242
+0.00512695
+0.00354943
+0.00207313
+0.000425268
+-0.0010167
+-0.00228093
+-0.00127265
+-0.000844079
+-0.00109837
+-0.00139015
+-0.00138093
+-0.00211739
+-0.0015287
+-0.000482574
+0.00115769
+0.00326145
+0.0054014
+0.00756603
+0.00971139
+0.0118733
+0.0140441
+0.0145071
+0.014757
+0.0152038
+0.0158474
+0.0166536
+0.0176547
+0.0188545
+0.0201799
+0.0216452
+0.0232249
+0.0248827
+0.0266071
+0.0282143
+0.0296286
+0.0310683
+0.0325313
+0.034047
+0.0356329
+0.0372802
+0.0515863
+0.0500724
+0.0485525
+0.047079
+0.0456215
+0.0442104
+0.0428649
+0.0415842
+0.0402741
+0.0390326
+0.0377405
+0.0365343
+0.0354177
+0.0342478
+0.0331814
+0.0321612
+0.0310959
+0.0300878
+0.0291833
+0.028413
+0.027701
+0.0269462
+0.0262697
+0.025683
+0.025109
+0.024515
+0.0240468
+0.0236885
+0.0233245
+0.0231569
+0.0231214
+0.0230206
+0.0230757
+0.0230928
+0.0231992
+0.0234081
+0.0237486
+0.0239883
+0.0243815
+0.0244825
+0.0244787
+0.0244634
+0.0245619
+0.0247497
+0.0249512
+0.0251736
+0.0237994
+0.0221427
+0.0205308
+0.0190089
+0.0175464
+0.0161332
+0.0148054
+0.0136329
+0.0125403
+0.0115356
+0.0102812
+0.00917229
+0.0080846
+0.00663864
+0.00498124
+0.00334851
+0.00186473
+0.000190199
+-0.00151101
+-0.00198692
+-0.000922126
+-0.00133538
+-0.00173992
+-0.00207845
+-0.00233103
+-0.00253886
+-0.00202022
+-0.000102402
+0.00132922
+0.00333187
+0.00547249
+0.00764153
+0.00977988
+0.0118875
+0.0140205
+0.0161424
+0.0164271
+0.0168756
+0.0175134
+0.0183103
+0.0192424
+0.0203523
+0.0215673
+0.0224947
+0.0235896
+0.0248265
+0.0260471
+0.0273305
+0.0286589
+0.0300508
+0.0315335
+0.033095
+0.0347244
+0.0364128
+0.050656
+0.0491136
+0.0476219
+0.0461375
+0.0446918
+0.0432708
+0.0418951
+0.0405911
+0.0393584
+0.0380977
+0.03692
+0.0356894
+0.0345458
+0.0334838
+0.0324218
+0.0314216
+0.0304509
+0.0294871
+0.0285899
+0.0278365
+0.0272113
+0.0265657
+0.0259041
+0.0253894
+0.0249747
+0.0246121
+0.02419
+0.023899
+0.023624
+0.023504
+0.0235423
+0.0233609
+0.0228105
+0.0224394
+0.0222588
+0.0222791
+0.0224449
+0.0227789
+0.0232591
+0.0238929
+0.0238043
+0.0239005
+0.0241259
+0.0245166
+0.0250932
+0.0254388
+0.0238536
+0.0222509
+0.0206536
+0.0191665
+0.0177342
+0.0163461
+0.015037
+0.0138841
+0.012813
+0.0116795
+0.0103463
+0.00905797
+0.00771924
+0.00647719
+0.0054678
+0.00405661
+0.00224159
+0.000387927
+-0.00111584
+-0.00114942
+-0.000681578
+-0.00110151
+-0.00213959
+-0.00283221
+-0.00309275
+-0.00320041
+-0.00248173
+-0.0006286
+0.00084921
+0.00288063
+0.00501686
+0.00718594
+0.0093651
+0.0115486
+0.0137344
+0.0159216
+0.0181096
+0.0186333
+0.0192016
+0.019314
+0.0196712
+0.0202603
+0.0210323
+0.0219823
+0.0229207
+0.0240028
+0.0251471
+0.0263609
+0.027695
+0.0291329
+0.0306601
+0.0322638
+0.0339233
+0.0356369
+0.0496734
+0.0482138
+0.0467155
+0.0452508
+0.0438086
+0.0423967
+0.0410196
+0.0396868
+0.0384328
+0.0372574
+0.0360564
+0.0349207
+0.0337822
+0.0326954
+0.0317227
+0.0307466
+0.0298455
+0.0289717
+0.0281282
+0.0273621
+0.0267475
+0.0262522
+0.0257046
+0.0252021
+0.0248424
+0.0246385
+0.0243919
+0.0242185
+0.0240483
+0.0235864
+0.0226621
+0.0219184
+0.0213443
+0.0209581
+0.0207646
+0.0207284
+0.0208619
+0.021213
+0.0217278
+0.0224187
+0.0223222
+0.0224131
+0.0226938
+0.0231087
+0.0237196
+0.0245116
+0.0240186
+0.0225229
+0.0210055
+0.0195451
+0.0181427
+0.0168142
+0.0155353
+0.0141544
+0.012995
+0.011856
+0.0107725
+0.00925053
+0.00777796
+0.0064437
+0.0050169
+0.00373784
+0.00244819
+0.000447055
+-0.00130795
+-0.00127355
+-0.00080705
+-0.00148923
+-0.00239836
+-0.003157
+-0.00344806
+-0.00384489
+-0.00265042
+-0.000600715
+0.00131964
+0.00315521
+0.00516539
+0.00713398
+0.00920351
+0.0113187
+0.0134581
+0.0156117
+0.0177744
+0.0189263
+0.018855
+0.0189694
+0.019333
+0.0199028
+0.0204692
+0.0212266
+0.0220885
+0.0230891
+0.0242389
+0.0254964
+0.0268738
+0.0283537
+0.0299096
+0.0315356
+0.0331656
+0.03485
+0.0487693
+0.0472818
+0.0458508
+0.0444042
+0.0429724
+0.0415802
+0.0402094
+0.038885
+0.0376042
+0.0364103
+0.0353036
+0.0341744
+0.0330911
+0.0320376
+0.0310444
+0.0301778
+0.0292915
+0.0285129
+0.0277598
+0.0270537
+0.0264414
+0.025961
+0.0255961
+0.0251722
+0.0248447
+0.0246619
+0.024437
+0.0234902
+0.0227117
+0.0220932
+0.0213577
+0.0205669
+0.0199861
+0.0195605
+0.0193255
+0.0192451
+0.0193889
+0.0197662
+0.0203177
+0.0210674
+0.020956
+0.0210376
+0.0213105
+0.0217928
+0.02247
+0.0232943
+0.0237756
+0.0223171
+0.020985
+0.0194129
+0.0178611
+0.0164273
+0.0150732
+0.0137083
+0.0125687
+0.0114592
+0.0101597
+0.00910638
+0.00789303
+0.0066104
+0.00517005
+0.00368517
+0.00232292
+0.0013763
+0.000542133
+0.000402702
+-0.000252686
+-0.00176215
+-0.00257953
+-0.00347984
+-0.00418963
+-0.00421349
+-0.00277156
+-0.00068512
+0.000729297
+0.00253026
+0.00460766
+0.00674115
+0.00890247
+0.0110753
+0.0132541
+0.0154362
+0.0176204
+0.0188312
+0.0187171
+0.0186917
+0.0188648
+0.0192604
+0.019777
+0.020424
+0.0212779
+0.0223065
+0.0234634
+0.0247605
+0.0261769
+0.0276712
+0.0291799
+0.0307707
+0.0324313
+0.0341368
+0.0478989
+0.0464167
+0.0449581
+0.0435608
+0.0421883
+0.0408021
+0.0394547
+0.0381385
+0.0368829
+0.0356694
+0.0345477
+0.0335109
+0.0324655
+0.0314431
+0.0304832
+0.0296263
+0.0288467
+0.0280613
+0.0274232
+0.0268189
+0.0262462
+0.0257622
+0.0254545
+0.0252625
+0.0249941
+0.0240889
+0.0229561
+0.0219837
+0.0211552
+0.0204453
+0.0199342
+0.0193521
+0.0187015
+0.0182415
+0.017994
+0.0178893
+0.0180439
+0.0184184
+0.019013
+0.0198024
+0.0196876
+0.0197744
+0.0200587
+0.0205704
+0.0212753
+0.0221511
+0.0231937
+0.02216
+0.0206796
+0.0190919
+0.0175058
+0.0160403
+0.0147138
+0.0133121
+0.0121355
+0.0110212
+0.00978656
+0.00863698
+0.00729445
+0.00596567
+0.00495971
+0.00356409
+0.00270955
+0.00162457
+0.00221002
+0.00111715
+0.00106532
+-0.000912069
+-0.00284443
+-0.00412647
+-0.00464983
+-0.00444491
+-0.00243042
+-0.000606041
+0.00139554
+0.00313986
+0.00500865
+0.00704206
+0.00913244
+0.011261
+0.0134096
+0.01557
+0.0177377
+0.0186468
+0.0183031
+0.0182183
+0.0183958
+0.0186597
+0.0190944
+0.0197638
+0.020645
+0.0216834
+0.0228718
+0.0241707
+0.0255107
+0.0269624
+0.0285086
+0.0301291
+0.0317392
+0.0334122
+0.0470859
+0.0455842
+0.0441402
+0.0427305
+0.0413741
+0.0400447
+0.0387139
+0.0374626
+0.0361924
+0.0350038
+0.0339078
+0.032872
+0.0319003
+0.0309102
+0.0299732
+0.0291543
+0.028382
+0.0277366
+0.0271239
+0.0266365
+0.0261963
+0.0257359
+0.0253968
+0.0252421
+0.0241102
+0.0227686
+0.0215666
+0.0205239
+0.0196286
+0.0189063
+0.0183533
+0.0180053
+0.01755
+0.0170538
+0.016757
+0.0166523
+0.0167968
+0.0171882
+0.0178239
+0.0186636
+0.0185916
+0.0186756
+0.0189721
+0.01951
+0.0202284
+0.0211371
+0.0222167
+0.0221558
+0.020543
+0.0190142
+0.0174046
+0.0159309
+0.0146378
+0.013216
+0.0119669
+0.0107141
+0.00945192
+0.00825307
+0.00701987
+0.00582464
+0.00474363
+0.00333521
+0.00236494
+0.00218465
+0.00152274
+0.00134909
+0.00123597
+-0.000555012
+-0.00251095
+-0.00438127
+-0.00510711
+-0.0042611
+-0.00213163
+-5.3517e-05
+0.00169074
+0.0035513
+0.00556265
+0.00766389
+0.00980097
+0.0118426
+0.0139127
+0.0160053
+0.0181211
+0.0184165
+0.0180685
+0.0179826
+0.0180068
+0.018195
+0.0186405
+0.0193256
+0.0202075
+0.0211911
+0.022281
+0.0235248
+0.0248996
+0.0263843
+0.0278628
+0.0294302
+0.0310642
+0.0327316
+0.0463597
+0.0448363
+0.0433674
+0.0419615
+0.0406172
+0.03931
+0.0380246
+0.0367529
+0.0355691
+0.0344036
+0.0332954
+0.032298
+0.0313915
+0.0304916
+0.029561
+0.0287466
+0.028072
+0.0274284
+0.0269388
+0.0264893
+0.0261457
+0.0258401
+0.0255272
+0.0245112
+0.0229921
+0.0215811
+0.0203088
+0.0191952
+0.0182348
+0.0174584
+0.0168599
+0.0164846
+0.0163649
+0.016074
+0.0157032
+0.0155914
+0.0157127
+0.0161304
+0.0168252
+0.0176771
+0.0175965
+0.0176698
+0.017983
+0.0185191
+0.0192733
+0.0202202
+0.0213462
+0.0221383
+0.0204847
+0.0189404
+0.0175133
+0.0159922
+0.0146417
+0.0133031
+0.012063
+0.0107895
+0.00959875
+0.00842083
+0.00726828
+0.0063015
+0.00524655
+0.00399303
+0.00319001
+0.00298348
+0.0024542
+0.00297847
+0.00123762
+-0.000537639
+-0.00243842
+-0.004559
+-0.00524451
+-0.0040173
+-0.00194555
+0.000170366
+0.0021423
+0.00382855
+0.00573165
+0.00777669
+0.00987684
+0.0120094
+0.0141597
+0.0163207
+0.0184888
+0.0183699
+0.017987
+0.0177966
+0.0177382
+0.0179139
+0.0182973
+0.0188968
+0.0197228
+0.0206846
+0.0217998
+0.0230669
+0.0243552
+0.0257599
+0.0272179
+0.0287236
+0.0303129
+0.0319735
+0.0456483
+0.0441608
+0.0426932
+0.0412643
+0.0399046
+0.0386113
+0.037389
+0.0361462
+0.0349551
+0.0338522
+0.0328105
+0.0317978
+0.0308879
+0.0300568
+0.0292735
+0.0284746
+0.0278013
+0.027284
+0.0268011
+0.0264678
+0.026208
+0.0259743
+0.0252449
+0.0235937
+0.022007
+0.0205284
+0.0191865
+0.0180117
+0.0169907
+0.0161549
+0.0155119
+0.0151186
+0.0149747
+0.0151281
+0.014889
+0.0147215
+0.0148467
+0.015288
+0.0159691
+0.0168553
+0.0167428
+0.0168443
+0.01716
+0.0177022
+0.0184898
+0.0194929
+0.0206721
+0.0219941
+0.0206087
+0.0190744
+0.017679
+0.0162653
+0.0149395
+0.013698
+0.0124971
+0.0112728
+0.0101393
+0.00903213
+0.00805697
+0.00719361
+0.00641395
+0.00545567
+0.0048076
+0.00463339
+0.00430299
+0.00312264
+0.00121023
+-0.000658512
+-0.00255636
+-0.0046806
+-0.00552117
+-0.00344678
+-0.00148616
+0.000101711
+0.00215435
+0.00430261
+0.00645086
+0.00842623
+0.0104026
+0.0124454
+0.0145313
+0.0166442
+0.0187749
+0.0183859
+0.0178302
+0.0175326
+0.017461
+0.01764
+0.0180286
+0.0186368
+0.0194519
+0.0203087
+0.0213568
+0.0224535
+0.0236826
+0.0250343
+0.026483
+0.0280283
+0.0296465
+0.0312955
+0.0450324
+0.0435238
+0.0420731
+0.0406733
+0.0392932
+0.037979
+0.0367462
+0.0356055
+0.0344445
+0.0333366
+0.0323211
+0.0314046
+0.0304921
+0.0296925
+0.0289801
+0.0283173
+0.0276646
+0.0271485
+0.026802
+0.0264998
+0.0263336
+0.0262558
+0.0245332
+0.0228258
+0.0211888
+0.0196487
+0.0182422
+0.0170018
+0.0159139
+0.0150219
+0.0143244
+0.0139282
+0.0137482
+0.0138806
+0.0142194
+0.0140971
+0.0142278
+0.0146713
+0.0153716
+0.016124
+0.0159988
+0.016163
+0.0165495
+0.0171112
+0.0179247
+0.0189577
+0.0201766
+0.0215264
+0.0209621
+0.0194557
+0.0180898
+0.0168018
+0.015522
+0.0144009
+0.0132427
+0.0121273
+0.0110935
+0.0100916
+0.00923321
+0.00849031
+0.00796283
+0.00723184
+0.00675635
+0.00618801
+0.00433786
+0.00286113
+0.000913144
+-0.00101111
+-0.00289474
+-0.00494469
+-0.00502164
+-0.00296218
+-0.000978178
+0.000550055
+0.00247404
+0.00460646
+0.00677609
+0.00895597
+0.0110855
+0.0131753
+0.0152125
+0.0172421
+0.0191432
+0.0183815
+0.0178257
+0.017528
+0.0174564
+0.0176013
+0.0178547
+0.0183321
+0.019008
+0.0197405
+0.0206687
+0.0217784
+0.0230377
+0.024396
+0.0258373
+0.0273654
+0.0289787
+0.0306637
+0.0444627
+0.0429773
+0.0415198
+0.040103
+0.0387584
+0.0374644
+0.036214
+0.035056
+0.0339999
+0.0329253
+0.0319109
+0.0309966
+0.0301988
+0.0294292
+0.0287542
+0.0281347
+0.0276379
+0.0271856
+0.0268396
+0.0266404
+0.0264949
+0.0257784
+0.0239692
+0.022211
+0.0205361
+0.0189666
+0.0175224
+0.0162261
+0.0150804
+0.0141069
+0.0133691
+0.0129222
+0.0126972
+0.0128023
+0.0131249
+0.0137347
+0.0139034
+0.0142828
+0.0147355
+0.0151359
+0.0152381
+0.0154902
+0.0159524
+0.0166463
+0.0175536
+0.0186368
+0.0198753
+0.021268
+0.0215227
+0.0200584
+0.0187359
+0.0175627
+0.0163426
+0.0153369
+0.014261
+0.0132831
+0.0123156
+0.0114214
+0.010729
+0.0100968
+0.00975673
+0.00918873
+0.0076586
+0.00561415
+0.00373916
+0.00237289
+0.000631782
+-0.00133761
+-0.00325017
+-0.00525913
+-0.00473841
+-0.00275283
+-0.000940967
+0.00101205
+0.00303574
+0.0050233
+0.00709176
+0.00921069
+0.0113569
+0.0135174
+0.0156862
+0.0178604
+0.019374
+0.0185937
+0.0180147
+0.0175978
+0.0173588
+0.0173936
+0.01765
+0.0179494
+0.0184685
+0.0191991
+0.0201094
+0.0211863
+0.0224152
+0.0237827
+0.025259
+0.0268169
+0.0284196
+0.0300859
+0.0439471
+0.0424486
+0.0410122
+0.0396401
+0.0382826
+0.0370016
+0.0357839
+0.0346366
+0.0335673
+0.0325793
+0.0316013
+0.0307252
+0.0299306
+0.0292427
+0.028633
+0.02811
+0.0276129
+0.027283
+0.0270551
+0.0267966
+0.0264444
+0.0248683
+0.0232861
+0.0217519
+0.0200859
+0.0184835
+0.0170071
+0.0156718
+0.0144889
+0.0134503
+0.0126885
+0.0121595
+0.0119202
+0.0119232
+0.0122801
+0.012923
+0.0133865
+0.0134333
+0.0137295
+0.0141615
+0.0142707
+0.0146578
+0.0153395
+0.0161859
+0.0171147
+0.0182531
+0.0195635
+0.0210211
+0.0222601
+0.0208614
+0.0195733
+0.0184562
+0.0173994
+0.0164074
+0.0155235
+0.0146768
+0.0137781
+0.012985
+0.0124326
+0.0118913
+0.0113601
+0.00929915
+0.00729378
+0.00539566
+0.00364192
+0.00225859
+0.000197662
+-0.00179062
+-0.00370647
+-0.00576329
+-0.00456312
+-0.00241042
+-0.000273589
+0.00145319
+0.00334869
+0.00543589
+0.00756728
+0.00972504
+0.0117786
+0.0138736
+0.0159942
+0.0181315
+0.0195263
+0.0187017
+0.0179593
+0.0174524
+0.0172114
+0.0172475
+0.0172653
+0.0174795
+0.0179576
+0.0186724
+0.0196031
+0.0206945
+0.0219297
+0.0232522
+0.0246927
+0.0262372
+0.0278685
+0.0295647
+0.0435045
+0.0420184
+0.040567
+0.0391843
+0.0378726
+0.0366342
+0.0354204
+0.034286
+0.0332477
+0.032269
+0.031378
+0.0305128
+0.0297708
+0.029129
+0.02859
+0.0281483
+0.0277544
+0.0274107
+0.0272265
+0.0271204
+0.0255667
+0.0239328
+0.0223265
+0.0207215
+0.0192323
+0.0178789
+0.0166467
+0.0152773
+0.0140884
+0.0131197
+0.0122971
+0.0116136
+0.011315
+0.0113034
+0.0116557
+0.0119683
+0.012187
+0.0125689
+0.012885
+0.0133938
+0.0135092
+0.0139232
+0.0145841
+0.0154624
+0.0165703
+0.0178447
+0.0189481
+0.0195004
+0.0202491
+0.0211422
+0.0206094
+0.0195516
+0.0186096
+0.017683
+0.0169422
+0.0162272
+0.0154141
+0.0147095
+0.014249
+0.0131008
+0.0109666
+0.00883067
+0.00670833
+0.00464984
+0.00279908
+0.00158756
+-0.000246635
+-0.0022076
+-0.00416194
+-0.00617787
+-0.00428113
+-0.00220055
+-1.03017e-05
+0.00182492
+0.00384589
+0.00596489
+0.00812203
+0.0102001
+0.0123021
+0.0144246
+0.0165582
+0.0186576
+0.0196168
+0.0186472
+0.0178933
+0.0173844
+0.0171333
+0.0170074
+0.0169644
+0.0171823
+0.017667
+0.0183653
+0.0191937
+0.0202265
+0.0214341
+0.0227854
+0.0242448
+0.0257252
+0.0273012
+0.0289574
+0.0430832
+0.0416433
+0.0402333
+0.0388416
+0.0375179
+0.0362781
+0.0351313
+0.0340313
+0.032985
+0.0320545
+0.031163
+0.0304026
+0.0296958
+0.0290984
+0.0286277
+0.0282337
+0.02794
+0.0277001
+0.0275305
+0.0265756
+0.0248312
+0.0231626
+0.0214607
+0.0198323
+0.0183013
+0.0168831
+0.0156357
+0.0145876
+0.0137306
+0.0129168
+0.0120407
+0.0113791
+0.0110396
+0.0109936
+0.0111444
+0.0109777
+0.0111919
+0.0117442
+0.0123368
+0.0128934
+0.013027
+0.0133677
+0.0140411
+0.0149494
+0.0161063
+0.016405
+0.0168401
+0.0174466
+0.0182611
+0.019218
+0.0203098
+0.0208206
+0.019985
+0.0191252
+0.0184863
+0.0178462
+0.0171742
+0.0159688
+0.0141003
+0.0123384
+0.0102746
+0.00827151
+0.00639276
+0.00457183
+0.00271701
+0.00149114
+-0.000587562
+-0.00271128
+-0.00478959
+-0.0062086
+-0.00412392
+-0.00194388
+0.000227673
+0.00218944
+0.00428101
+0.0064343
+0.00860488
+0.0106997
+0.0128089
+0.0149416
+0.0170889
+0.0191924
+0.0196934
+0.0187265
+0.0179319
+0.0173218
+0.0169699
+0.0167311
+0.0166667
+0.0168616
+0.0173064
+0.0180084
+0.0188479
+0.0198407
+0.0209855
+0.0222743
+0.0236868
+0.0252
+0.0268067
+0.0284785
+0.0427478
+0.0413244
+0.0399359
+0.0386005
+0.0372887
+0.036041
+0.0348864
+0.0338345
+0.0328651
+0.0319316
+0.0310879
+0.0303246
+0.0296732
+0.029171
+0.0287175
+0.0284062
+0.0281761
+0.02804
+0.0278687
+0.0260381
+0.024255
+0.0225109
+0.0207568
+0.0190728
+0.0174966
+0.0160567
+0.014764
+0.0136509
+0.0127802
+0.0121726
+0.0117648
+0.011479
+0.0110595
+0.0109763
+0.0105247
+0.0103124
+0.0104565
+0.0109859
+0.0117789
+0.0124028
+0.0127392
+0.0130975
+0.0133255
+0.013884
+0.0140347
+0.0142626
+0.0147552
+0.0154271
+0.0163061
+0.0173278
+0.0185308
+0.0198281
+0.0209127
+0.0206992
+0.0201104
+0.0188013
+0.0170774
+0.0150442
+0.0130441
+0.0111159
+0.00930477
+0.00766154
+0.00558111
+0.00363271
+0.002045
+0.00084141
+-0.00118204
+-0.0032624
+-0.00539182
+-0.00560451
+-0.00358667
+-0.00149225
+0.000625688
+0.00251557
+0.00456987
+0.0066973
+0.00885563
+0.0110267
+0.0132043
+0.0153856
+0.0175692
+0.0197114
+0.0198914
+0.0188534
+0.0179573
+0.0172658
+0.0167472
+0.0164945
+0.0164291
+0.016654
+0.0170798
+0.0176349
+0.0184264
+0.0193929
+0.0205485
+0.021863
+0.0233046
+0.0248234
+0.0264366
+0.028128
+0.0423168
+0.0410109
+0.0396935
+0.0383899
+0.0371251
+0.0359251
+0.0347666
+0.0337109
+0.0327502
+0.0318818
+0.0311436
+0.0303843
+0.0297338
+0.0292325
+0.0288891
+0.0286347
+0.028487
+0.0284072
+0.0275327
+0.0256768
+0.0238657
+0.0220078
+0.0202167
+0.0185117
+0.0168845
+0.0153857
+0.0140601
+0.0129497
+0.0120394
+0.0114304
+0.0109419
+0.0108018
+0.0108149
+0.0105317
+0.0102331
+0.00993006
+0.0100225
+0.0104279
+0.0110803
+0.0115692
+0.0111169
+0.0110194
+0.0113031
+0.0117841
+0.0118532
+0.0121306
+0.012681
+0.0134433
+0.014385
+0.0155153
+0.0168074
+0.018176
+0.0190187
+0.0195052
+0.0187808
+0.0173069
+0.0159965
+0.0143017
+0.0122612
+0.0102138
+0.00821611
+0.00633383
+0.00471178
+0.00323529
+0.00178043
+9.59265e-05
+-0.00186368
+-0.00385852
+-0.00590763
+-0.00521952
+-0.00307947
+-0.00100229
+0.000909902
+0.00295489
+0.0051073
+0.00726614
+0.00935874
+0.0114347
+0.0135468
+0.0156806
+0.0178281
+0.019985
+0.0198848
+0.018784
+0.0178807
+0.0172006
+0.01668
+0.016419
+0.0163534
+0.0165143
+0.0168029
+0.0173337
+0.0180946
+0.0190753
+0.0202304
+0.021547
+0.022964
+0.0244545
+0.0260268
+0.0276762
+0.0419795
+0.0406684
+0.0394338
+0.0382334
+0.0370133
+0.0358486
+0.0347428
+0.0336863
+0.0327425
+0.031914
+0.0311766
+0.0305288
+0.0299412
+0.0294573
+0.0291166
+0.0289381
+0.0288189
+0.0288201
+0.0273475
+0.0254726
+0.0235605
+0.0216849
+0.0198738
+0.0181466
+0.0164905
+0.0149641
+0.0136073
+0.0124588
+0.0115444
+0.0108811
+0.0104487
+0.0102641
+0.0100729
+0.00981135
+0.00991406
+0.00984614
+0.00981625
+0.00998833
+0.0103665
+0.0096334
+0.00910743
+0.00899497
+0.009334
+0.00959375
+0.00967572
+0.0100203
+0.0106478
+0.0114949
+0.0125299
+0.0138129
+0.0151869
+0.0166273
+0.0171435
+0.0176882
+0.0175601
+0.015974
+0.014544
+0.0133157
+0.0113765
+0.00950072
+0.00754737
+0.00549047
+0.0035783
+0.002019
+0.00105023
+-0.000682135
+-0.00266423
+-0.00474862
+-0.00607199
+-0.00474011
+-0.00268154
+-0.000725217
+0.00106189
+0.00318118
+0.00535442
+0.00753768
+0.00972423
+0.0119123
+0.0141012
+0.0162678
+0.0183467
+0.020449
+0.020014
+0.0189167
+0.0180201
+0.0172879
+0.0167146
+0.0164027
+0.0163359
+0.0163507
+0.0166422
+0.017178
+0.0179396
+0.0188207
+0.0199015
+0.0211437
+0.0225308
+0.0240377
+0.0256353
+0.0273084
+0.0416751
+0.0404229
+0.0391823
+0.0380274
+0.0369372
+0.0358411
+0.0347641
+0.0337634
+0.0328635
+0.032028
+0.0313036
+0.030689
+0.0301366
+0.0297356
+0.0294596
+0.0292736
+0.0292289
+0.0292434
+0.0273229
+0.0253871
+0.023453
+0.021568
+0.0197462
+0.0180068
+0.0163381
+0.0147961
+0.0134355
+0.0122806
+0.0113533
+0.0106462
+0.0102367
+0.0100257
+0.00972364
+0.00947684
+0.00961035
+0.00993053
+0.00971644
+0.00961793
+0.00870679
+0.0078079
+0.00714771
+0.00702955
+0.00741689
+0.00740343
+0.0075059
+0.00794675
+0.00865045
+0.00961055
+0.0107964
+0.0121867
+0.0136908
+0.0149405
+0.0153522
+0.0159652
+0.0162419
+0.0147954
+0.013258
+0.0118976
+0.0106146
+0.00857373
+0.00662916
+0.00482901
+0.00302975
+0.00154904
+0.000341109
+-0.00159115
+-0.00362086
+-0.00557482
+-0.00568013
+-0.00432421
+-0.00239799
+-0.000413301
+0.00167156
+0.00383299
+0.00589511
+0.00793081
+0.010032
+0.0121648
+0.0143152
+0.0164761
+0.018644
+0.0208167
+0.020348
+0.0191944
+0.0182096
+0.017426
+0.0167469
+0.0163353
+0.0161582
+0.0162585
+0.0165248
+0.0170323
+0.0176716
+0.0185491
+0.0196329
+0.020891
+0.0222937
+0.0237771
+0.0253471
+0.0270037
+0.0413496
+0.0401431
+0.0390224
+0.0378871
+0.036797
+0.0357904
+0.0348925
+0.0339092
+0.0330294
+0.0322718
+0.0315613
+0.0309832
+0.0304569
+0.0300602
+0.0298196
+0.0296985
+0.0297076
+0.0293842
+0.0274428
+0.0254764
+0.023549
+0.0216684
+0.0198515
+0.0181052
+0.0164364
+0.0149034
+0.0135523
+0.0124065
+0.0115247
+0.0108574
+0.0104367
+0.0102497
+0.00983771
+0.00959613
+0.00969434
+0.00996134
+0.00981064
+0.00838522
+0.0071495
+0.00603518
+0.00524888
+0.00502072
+0.00551873
+0.00521324
+0.00535296
+0.0059246
+0.00674078
+0.00784014
+0.00921297
+0.0107588
+0.0123076
+0.0132139
+0.0136776
+0.0142825
+0.0149833
+0.0136357
+0.0121906
+0.0107309
+0.00950494
+0.00792527
+0.00605249
+0.00410148
+0.002414
+0.000925435
+-0.000794827
+-0.00264696
+-0.00453569
+-0.00645711
+-0.00533805
+-0.0038398
+-0.00187499
+0.00011495
+0.00217478
+0.00428645
+0.00638195
+0.00847487
+0.0106073
+0.0127575
+0.0148527
+0.0169452
+0.0190598
+0.0211899
+0.0206033
+0.0194438
+0.0183949
+0.0174806
+0.0168037
+0.0163549
+0.0161747
+0.0162156
+0.0163967
+0.0168599
+0.0174839
+0.0183487
+0.0194196
+0.0206339
+0.0219955
+0.0234804
+0.025069
+0.0267428
+0.0411385
+0.0399256
+0.0387985
+0.0377651
+0.0367722
+0.0357802
+0.0348774
+0.0340713
+0.0332986
+0.0325483
+0.0318826
+0.0313168
+0.0308964
+0.0305389
+0.0303021
+0.0302111
+0.0302315
+0.0296569
+0.0276713
+0.0257191
+0.0238083
+0.02195
+0.0201585
+0.0184422
+0.0168069
+0.0153111
+0.013988
+0.0128741
+0.0120026
+0.0114033
+0.0109913
+0.0108003
+0.010354
+0.0101247
+0.0101268
+0.0103827
+0.00871517
+0.0071121
+0.00564515
+0.00432281
+0.00338928
+0.00306753
+0.00337409
+0.00302343
+0.00325066
+0.00397098
+0.00498774
+0.00629054
+0.00786208
+0.00952949
+0.0111722
+0.0116285
+0.0121528
+0.0126609
+0.013369
+0.0124716
+0.0112093
+0.00984864
+0.00850562
+0.00668773
+0.00502863
+0.00303527
+0.00140196
+-0.000399364
+-0.00195846
+-0.00384748
+-0.00569279
+-0.00637004
+-0.00476627
+-0.00306524
+-0.00130002
+0.00072178
+0.00251155
+0.00458713
+0.00670582
+0.00885918
+0.0110273
+0.0132028
+0.0153826
+0.0174948
+0.0196227
+0.0217632
+0.0209168
+0.0196848
+0.0185739
+0.0176162
+0.0168605
+0.0163388
+0.0161008
+0.0160933
+0.0163026
+0.0167282
+0.0173569
+0.0182277
+0.0193054
+0.0205015
+0.0218343
+0.0232896
+0.024853
+0.0265054
+0.0410097
+0.0398174
+0.0386976
+0.0376614
+0.0367267
+0.0358491
+0.0349667
+0.0341743
+0.0334947
+0.0329098
+0.0322997
+0.0317782
+0.0313639
+0.0310988
+0.0309318
+0.0308393
+0.0308872
+0.0300235
+0.0280639
+0.026141
+0.0242635
+0.0224428
+0.0206935
+0.0190041
+0.0174216
+0.0159671
+0.0146863
+0.0136296
+0.0128091
+0.0121766
+0.0118559
+0.0117136
+0.0112231
+0.01101
+0.0109873
+0.0096188
+0.00782237
+0.00608458
+0.00441895
+0.00293961
+0.00165738
+0.0011172
+0.0012773
+0.000837114
+0.00126606
+0.00220826
+0.00352937
+0.00506268
+0.00682786
+0.00853334
+0.00974811
+0.0101411
+0.0106907
+0.01119
+0.0116819
+0.0108806
+0.0102839
+0.00905432
+0.00755445
+0.00560638
+0.0036753
+0.00212582
+0.000180429
+-0.00168483
+-0.00342218
+-0.00503948
+-0.00680104
+-0.00576123
+-0.00411751
+-0.00244293
+-0.00067759
+0.00114703
+0.00302521
+0.00509543
+0.00723494
+0.00939807
+0.0114896
+0.0136036
+0.015728
+0.0178684
+0.0200197
+0.0221787
+0.021058
+0.019857
+0.018715
+0.0177383
+0.016935
+0.0163871
+0.0161153
+0.0161151
+0.0163421
+0.0166813
+0.0172569
+0.0180813
+0.0191195
+0.0203098
+0.0216544
+0.0231061
+0.0246593
+0.0262907
+0.0409865
+0.0397934
+0.0386877
+0.0376536
+0.0367187
+0.0358934
+0.0351566
+0.0344051
+0.033742
+0.0331984
+0.0327834
+0.0323012
+0.0319519
+0.0316963
+0.0315835
+0.0315928
+0.0316539
+0.0305432
+0.0286192
+0.0267363
+0.0249037
+0.023127
+0.0214014
+0.0197681
+0.018252
+0.0168691
+0.0156622
+0.0146524
+0.013859
+0.0132704
+0.0129742
+0.0128922
+0.0123863
+0.012173
+0.0109257
+0.00891323
+0.00697565
+0.00520487
+0.00350221
+0.00176708
+0.000231565
+-0.000861884
+-0.000775846
+-0.00132129
+-0.000510035
+0.000905126
+0.00250537
+0.00428528
+0.00612446
+0.00791406
+0.00815915
+0.0085471
+0.0091449
+0.00987633
+0.010155
+0.00924003
+0.00857175
+0.00809431
+0.00677141
+0.00475525
+0.00284299
+0.000771739
+-0.000830868
+-0.00257786
+-0.00452285
+-0.0063821
+-0.00669982
+-0.00510918
+-0.00334683
+-0.00145622
+0.000184886
+0.00157173
+0.0036258
+0.00574614
+0.0077657
+0.00985862
+0.0119625
+0.0140811
+0.016197
+0.0183062
+0.0204182
+0.0225453
+0.0212524
+0.0200381
+0.0188954
+0.0179031
+0.0171349
+0.0165758
+0.0162855
+0.0162576
+0.0163453
+0.0166465
+0.0171925
+0.0179682
+0.0189614
+0.0201223
+0.0214342
+0.0228809
+0.0244386
+0.0260875
+0.0410688
+0.0398899
+0.0387869
+0.0377552
+0.0368229
+0.0359999
+0.0352939
+0.0346879
+0.0341119
+0.0335911
+0.03319
+0.0329023
+0.0325599
+0.032362
+0.0323099
+0.0323546
+0.0324937
+0.0312084
+0.0293281
+0.0274937
+0.0257004
+0.0239599
+0.0222988
+0.0207363
+0.0192965
+0.017994
+0.0168394
+0.0159017
+0.0151472
+0.0146128
+0.0143421
+0.0142691
+0.0137734
+0.0128299
+0.0107363
+0.00867014
+0.00665617
+0.00476871
+0.00295092
+0.00102436
+-0.000727007
+-0.00255079
+-0.00278853
+-0.00316425
+-0.00149514
+0.000216232
+0.00200232
+0.00390719
+0.00579997
+0.00651128
+0.00667797
+0.007176
+0.00779511
+0.00854338
+0.00889607
+0.00783724
+0.00707011
+0.00625437
+0.00558576
+0.00404898
+0.00203169
+4.50134e-05
+-0.00180532
+-0.00361596
+-0.00547146
+-0.0074206
+-0.0059418
+-0.00408972
+-0.00238193
+-0.000841991
+0.00114713
+0.00258547
+0.00440294
+0.00640899
+0.0084108
+0.0104196
+0.012452
+0.0145305
+0.0166378
+0.0187642
+0.0209039
+0.0229167
+0.0215739
+0.0203787
+0.0192905
+0.0183196
+0.0175078
+0.0168955
+0.016515
+0.0163328
+0.0163311
+0.0165766
+0.0171015
+0.0178812
+0.0188814
+0.0200357
+0.0213529
+0.0228048
+0.0243674
+0.0260163
+0.0412483
+0.0400874
+0.039009
+0.037983
+0.0370565
+0.0362388
+0.0355376
+0.0349358
+0.0344556
+0.0340492
+0.0336913
+0.033463
+0.0332879
+0.0330944
+0.0330453
+0.0331246
+0.0333367
+0.0320098
+0.030167
+0.0283718
+0.0266333
+0.0249578
+0.0233678
+0.0218818
+0.0205224
+0.0192762
+0.0182009
+0.0173178
+0.0166094
+0.0161342
+0.0158947
+0.0157825
+0.0150635
+0.0129951
+0.010933
+0.00891258
+0.00695304
+0.00498898
+0.00299434
+0.00101429
+-0.000912476
+-0.00251798
+-0.0038789
+-0.00305681
+-0.00127171
+0.00061569
+0.00245308
+0.00420437
+0.00547633
+0.00534105
+0.00548183
+0.00591432
+0.00667872
+0.00742183
+0.00803104
+0.00685581
+0.00595588
+0.00464486
+0.00373085
+0.00303217
+0.00113893
+-0.000736631
+-0.00268948
+-0.00454275
+-0.00641196
+-0.00707607
+-0.00539573
+-0.00331291
+-0.0012933
+0.00033709
+0.00193687
+0.00365717
+0.00528254
+0.00711301
+0.00899478
+0.0109517
+0.0129835
+0.0150599
+0.0171647
+0.0192887
+0.0213997
+0.0233679
+0.0219683
+0.0207063
+0.0195346
+0.0185264
+0.0177183
+0.0171143
+0.0166266
+0.0163983
+0.0163835
+0.0166282
+0.0171516
+0.0179264
+0.0188867
+0.0200404
+0.0213503
+0.0227577
+0.0242782
+0.0258949
+0.0414384
+0.0403202
+0.0392829
+0.0383328
+0.0374149
+0.0366053
+0.0359112
+0.0353181
+0.0348431
+0.0345009
+0.0342505
+0.0340259
+0.0339415
+0.0339152
+0.0338903
+0.0339808
+0.0341874
+0.0329113
+0.0311202
+0.0293832
+0.0277076
+0.0261013
+0.0245853
+0.0231775
+0.0218639
+0.0206914
+0.0196935
+0.0188699
+0.0182004
+0.0177543
+0.0175425
+0.0174296
+0.0154928
+0.0134667
+0.0114703
+0.00951945
+0.0075969
+0.00566445
+0.00386245
+0.00211978
+0.000563524
+-0.000782313
+-0.0022417
+-0.00285348
+-0.00136345
+0.000185994
+0.00157528
+0.00312556
+0.00474747
+0.00450704
+0.00450051
+0.00496186
+0.00570493
+0.0066273
+0.00694693
+0.00636381
+0.00503047
+0.00350642
+0.00221098
+0.00146991
+-1.83643e-06
+-0.00179276
+-0.00357046
+-0.00541246
+-0.00740554
+-0.00649348
+-0.00493185
+-0.00283373
+-0.000733914
+0.00126602
+0.00287729
+0.00451718
+0.00634629
+0.00822097
+0.0100168
+0.0118055
+0.0137113
+0.0156917
+0.0177217
+0.019786
+0.0218748
+0.0237747
+0.0224062
+0.0211019
+0.0199328
+0.0189459
+0.0181203
+0.0173707
+0.0168702
+0.0165951
+0.0165592
+0.0168014
+0.0173195
+0.0180441
+0.0189896
+0.0201013
+0.0213631
+0.0227594
+0.0242143
+0.0257699
+0.0416811
+0.040622
+0.0396038
+0.0386715
+0.0378387
+0.0370749
+0.0363898
+0.0358257
+0.0353624
+0.0350253
+0.0348172
+0.0346942
+0.0346226
+0.0346515
+0.0347517
+0.0349228
+0.035142
+0.0339288
+0.0321944
+0.0305117
+0.0288951
+0.0273586
+0.0259163
+0.0245677
+0.0233279
+0.0222327
+0.0213072
+0.0205195
+0.0199055
+0.0194861
+0.0192934
+0.0181186
+0.0161741
+0.0142126
+0.0123071
+0.0104298
+0.00860684
+0.00686626
+0.00517583
+0.00365158
+0.00229755
+0.000833096
+-0.00047045
+-0.00131799
+-0.000865076
+9.88115e-05
+0.00142591
+0.00280905
+0.00447824
+0.00415596
+0.00407346
+0.00442944
+0.00517953
+0.00622294
+0.00616586
+0.00553379
+0.00453106
+0.00297598
+0.00124843
+-0.000131467
+-0.00118974
+-0.00260791
+-0.00424781
+-0.00613979
+-0.00747036
+-0.00598098
+-0.00435097
+-0.00249032
+-0.000363141
+0.0017282
+0.00379932
+0.00545099
+0.00696795
+0.00871043
+0.0104949
+0.0123866
+0.0140884
+0.0158103
+0.017589
+0.0193228
+0.0211312
+0.0229931
+0.0228246
+0.0214993
+0.0203074
+0.0192259
+0.0182955
+0.0175534
+0.0170438
+0.01677
+0.0167726
+0.0170117
+0.0175015
+0.018111
+0.0189556
+0.0200054
+0.0212301
+0.0225892
+0.0240485
+0.0256122
+0.0420306
+0.0409805
+0.0400228
+0.0391012
+0.0382729
+0.0375521
+0.0369262
+0.0364215
+0.0359872
+0.0356607
+0.0354667
+0.0353779
+0.0353493
+0.0354148
+0.0355783
+0.035836
+0.0361349
+0.0350518
+0.0333677
+0.0317453
+0.0301949
+0.0287279
+0.0273428
+0.026064
+0.0248988
+0.0238758
+0.0230164
+0.0222626
+0.0216976
+0.0213027
+0.0208742
+0.01896
+0.0170572
+0.0151872
+0.0133317
+0.0115439
+0.0098962
+0.00824693
+0.00674386
+0.00534367
+0.00391892
+0.00250673
+0.00149835
+0.000737799
+0.000672345
+0.00125899
+0.00231708
+0.00344615
+0.00483555
+0.004465
+0.00432271
+0.00455313
+0.00520255
+0.00623738
+0.00591518
+0.00504023
+0.00351008
+0.00199336
+0.00109956
+-5.70353e-05
+-0.00146165
+-0.0032943
+-0.00499949
+-0.00682912
+-0.00704044
+-0.00576613
+-0.0038906
+-0.00183074
+0.000141081
+0.00191297
+0.0032932
+0.00457134
+0.00592287
+0.00765662
+0.00957942
+0.0113948
+0.0131394
+0.0149032
+0.0167217
+0.0185286
+0.0204076
+0.0223292
+0.0232599
+0.0219243
+0.0206786
+0.01959
+0.0186603
+0.017901
+0.0173638
+0.0170407
+0.0169903
+0.0171182
+0.0175046
+0.018114
+0.0189585
+0.0200081
+0.0212217
+0.0225529
+0.0240105
+0.0255729
+0.0423489
+0.0413855
+0.0404814
+0.0396428
+0.0388261
+0.0381158
+0.0374993
+0.0370025
+0.0366272
+0.0363575
+0.0362172
+0.0361308
+0.0361285
+0.0362583
+0.036454
+0.0367392
+0.0371311
+0.0362634
+0.0346381
+0.0330782
+0.0315932
+0.0301808
+0.0288615
+0.027653
+0.0265576
+0.025601
+0.0247834
+0.024079
+0.0235493
+0.023184
+0.0218296
+0.0199754
+0.0181217
+0.0163058
+0.0145479
+0.0129119
+0.011332
+0.00983703
+0.00840558
+0.0070054
+0.00557598
+0.00434224
+0.00346058
+0.00282186
+0.00246653
+0.00272292
+0.00349534
+0.00451721
+0.00574998
+0.00528597
+0.00504524
+0.00522736
+0.0058343
+0.00643934
+0.00555971
+0.00466028
+0.00346716
+0.00149549
+-0.00022946
+-0.00100089
+-0.0019493
+-0.00357677
+-0.00539116
+-0.00738396
+-0.00628017
+-0.0048664
+-0.00368447
+-0.00224072
+-0.000710748
+0.000579581
+0.00221704
+0.00332336
+0.00501532
+0.00697748
+0.00884064
+0.0105842
+0.0124111
+0.0142379
+0.0160435
+0.017912
+0.019825
+0.021773
+0.0235903
+0.0222521
+0.021015
+0.019925
+0.0190259
+0.0183025
+0.0176934
+0.0172692
+0.017117
+0.0172439
+0.0176265
+0.0182318
+0.0190577
+0.0200575
+0.021237
+0.022568
+0.0240223
+0.025547
+0.0427219
+0.0418477
+0.0409622
+0.0401693
+0.0394559
+0.0387848
+0.0381897
+0.0377019
+0.0373337
+0.0370692
+0.036933
+0.0369264
+0.0369703
+0.0370977
+0.0373533
+0.0377153
+0.0380971
+0.0375637
+0.0359972
+0.0344988
+0.0330655
+0.0317149
+0.0304621
+0.0293197
+0.0282884
+0.0273923
+0.026608
+0.0259533
+0.0254497
+0.0247543
+0.0229393
+0.0211029
+0.019319
+0.0175846
+0.0159592
+0.0144226
+0.012926
+0.011484
+0.0100973
+0.00866559
+0.00732831
+0.00630246
+0.00548789
+0.00479948
+0.00443182
+0.00452531
+0.00510422
+0.00592987
+0.00688491
+0.00651256
+0.00623741
+0.00637136
+0.00682832
+0.00649035
+0.00549074
+0.00445272
+0.00329806
+0.00171359
+0.00037972
+-0.000906387
+-0.00253883
+-0.00447724
+-0.00628881
+-0.00777995
+-0.00615277
+-0.0046767
+-0.00327746
+-0.00207097
+-0.000879235
+0.000119624
+0.00152415
+0.00296429
+0.00483156
+0.00670899
+0.00838281
+0.01015
+0.011974
+0.0137062
+0.0155374
+0.0174473
+0.0194061
+0.0213923
+0.0234059
+0.0226259
+0.0214101
+0.0202744
+0.0193131
+0.0185618
+0.0180467
+0.0176078
+0.0174054
+0.0174773
+0.0178204
+0.0184193
+0.0192331
+0.0202327
+0.0213831
+0.0226445
+0.0240188
+0.0255074
+0.043118
+0.0422709
+0.0414872
+0.0407052
+0.040028
+0.0394609
+0.0389217
+0.0384674
+0.0381337
+0.0378943
+0.037761
+0.0377546
+0.0378721
+0.038042
+0.0382914
+0.0386634
+0.0391215
+0.0389439
+0.0374352
+0.0359858
+0.0346105
+0.0333225
+0.0321325
+0.0310448
+0.0300713
+0.0292299
+0.0284844
+0.0278735
+0.0273931
+0.0259104
+0.0241137
+0.0223542
+0.0206396
+0.0190229
+0.0174887
+0.0160154
+0.0145706
+0.0131922
+0.0117597
+0.0103761
+0.00920771
+0.00822548
+0.00748652
+0.00682804
+0.00651204
+0.00645612
+0.00689772
+0.007578
+0.00827831
+0.00794102
+0.00766513
+0.00778528
+0.00760159
+0.00660555
+0.00542364
+0.00462123
+0.0032575
+0.00138358
+-0.000443258
+-0.00179777
+-0.00296823
+-0.00472129
+-0.00673355
+-0.00694103
+-0.00555297
+-0.0042042
+-0.00306653
+-0.00233071
+-0.00120051
+0.000251741
+0.00220697
+0.00352016
+0.00508433
+0.0067734
+0.0083503
+0.00998155
+0.0116791
+0.0134545
+0.0152984
+0.0171759
+0.0191201
+0.0211065
+0.0231185
+0.0230115
+0.0217746
+0.0206962
+0.0197814
+0.0190485
+0.0184976
+0.0180409
+0.0178434
+0.0178857
+0.01817
+0.0186921
+0.0194358
+0.0203714
+0.021489
+0.0227393
+0.0241082
+0.0255561
+0.0436023
+0.0427641
+0.0420235
+0.0413498
+0.0406833
+0.0401254
+0.039671
+0.0392908
+0.0389641
+0.0387587
+0.0386765
+0.0386893
+0.038804
+0.0390205
+0.0393125
+0.039675
+0.0401539
+0.0403958
+0.0389335
+0.0375383
+0.036222
+0.0349935
+0.0338603
+0.0328242
+0.0319051
+0.0311118
+0.0303979
+0.0298219
+0.0289082
+0.0271432
+0.0254024
+0.0237058
+0.0220962
+0.0205566
+0.0191048
+0.0176613
+0.0162874
+0.0148554
+0.0134335
+0.0121796
+0.0111257
+0.0101899
+0.00946073
+0.00887181
+0.00853668
+0.00847612
+0.00880118
+0.00934852
+0.0098515
+0.00962555
+0.00935141
+0.00896772
+0.00786683
+0.0066972
+0.00552538
+0.0045124
+0.00368152
+0.00212148
+0.000279391
+-0.00169404
+-0.00341126
+-0.00529781
+-0.00646475
+-0.00647678
+-0.00504212
+-0.00355955
+-0.00214692
+-0.000994767
+4.44486e-05
+0.000981423
+0.00230984
+0.00389118
+0.00529124
+0.00673871
+0.00815019
+0.00967863
+0.0113917
+0.0131316
+0.0149603
+0.0168755
+0.0188505
+0.0208627
+0.0228962
+0.0234616
+0.0222499
+0.0211956
+0.0202873
+0.0194978
+0.0188209
+0.0183788
+0.018185
+0.018254
+0.0185617
+0.0190603
+0.0197735
+0.0206555
+0.0217159
+0.0229141
+0.0242355
+0.0256613
+0.0441662
+0.0433389
+0.0426082
+0.0419793
+0.0414441
+0.0408967
+0.0404508
+0.0401065
+0.0398797
+0.0396814
+0.0396009
+0.0396414
+0.0398016
+0.040036
+0.0403746
+0.0407793
+0.0412453
+0.0418191
+0.0404916
+0.039152
+0.0378918
+0.0367191
+0.0356338
+0.0346507
+0.0337813
+0.0330125
+0.0323405
+0.0318
+0.0301837
+0.0284607
+0.0267791
+0.0251756
+0.0236325
+0.0221721
+0.0207542
+0.019352
+0.017952
+0.0165061
+0.015202
+0.0140932
+0.0130214
+0.012157
+0.0114223
+0.0108708
+0.010582
+0.010546
+0.0107936
+0.0112063
+0.0115468
+0.0113804
+0.0108855
+0.00958394
+0.00833995
+0.00692367
+0.00571458
+0.00469798
+0.00344215
+0.00209102
+0.00127639
+-0.000590002
+-0.00276909
+-0.00411742
+-0.00547912
+-0.00503856
+-0.00359158
+-0.00269061
+-0.0020978
+-0.000686708
+0.000585849
+0.00181198
+0.00312634
+0.00420066
+0.00526022
+0.0066409
+0.00818187
+0.00970083
+0.0113346
+0.0130544
+0.0148872
+0.016806
+0.0187844
+0.0208049
+0.0228434
+0.0240712
+0.022874
+0.0218076
+0.0208928
+0.0200451
+0.0193856
+0.0189508
+0.0187629
+0.0188297
+0.0190575
+0.0194883
+0.0201378
+0.020971
+0.021974
+0.023128
+0.024361
+0.0257218
+0.0448222
+0.0440152
+0.043296
+0.0426772
+0.0421449
+0.0416513
+0.0412683
+0.0409953
+0.0407735
+0.0406686
+0.0406132
+0.0406529
+0.0408103
+0.0410771
+0.0414318
+0.0418868
+0.0424219
+0.0429819
+0.042106
+0.0408194
+0.0396123
+0.0384877
+0.0374515
+0.0365174
+0.0356935
+0.0349471
+0.0343131
+0.0332341
+0.0315254
+0.029856
+0.0282578
+0.0267134
+0.0252448
+0.0238485
+0.0224257
+0.021049
+0.0195867
+0.0182498
+0.0170579
+0.0159522
+0.0149895
+0.014156
+0.013435
+0.0129305
+0.0126759
+0.0126179
+0.012759
+0.0131288
+0.0133487
+0.0126037
+0.0117438
+0.010428
+0.00901941
+0.00762671
+0.0061524
+0.00519518
+0.00355968
+0.00217291
+0.0005217
+-0.00114369
+-0.00237625
+-0.00370462
+-0.00457988
+-0.00400257
+-0.00242074
+-0.00113161
+-0.000131159
+0.000952404
+0.00202758
+0.00295304
+0.00405748
+0.00475375
+0.00584204
+0.00714464
+0.0086359
+0.0100692
+0.0116064
+0.0133172
+0.0151241
+0.0170162
+0.0189726
+0.0209711
+0.0229887
+0.024675
+0.0234466
+0.0223659
+0.0214551
+0.0207142
+0.0200697
+0.0196452
+0.0194063
+0.0193724
+0.0195406
+0.0199493
+0.0205639
+0.0213138
+0.0222358
+0.0233108
+0.0245238
+0.0258644
+0.0454647
+0.0446621
+0.0439542
+0.0433455
+0.0428404
+0.0424273
+0.0420702
+0.0418059
+0.0416526
+0.0415946
+0.0416519
+0.0417351
+0.0418886
+0.0421554
+0.0425279
+0.042993
+0.0435546
+0.0442054
+0.0437706
+0.0425344
+0.0413768
+0.0402958
+0.0393072
+0.0384182
+0.0376283
+0.0369104
+0.0362927
+0.0345961
+0.0329366
+0.0313424
+0.0297979
+0.0283231
+0.0269203
+0.0255054
+0.0241463
+0.0226721
+0.0213121
+0.020063
+0.0189363
+0.0178685
+0.0169415
+0.0161486
+0.0154842
+0.0150242
+0.0147374
+0.0146595
+0.0147812
+0.0151128
+0.0145709
+0.0137494
+0.0127466
+0.0113114
+0.00988519
+0.00834911
+0.0070277
+0.00572983
+0.00447256
+0.00271667
+0.00080188
+-0.000177401
+-0.00127317
+-0.00268435
+-0.00335462
+-0.00292951
+-0.00195844
+-0.000305936
+0.0008592
+0.00233373
+0.00369487
+0.00462816
+0.00517135
+0.00574789
+0.00663361
+0.00780477
+0.00918109
+0.0106508
+0.0122123
+0.0138486
+0.0156067
+0.0174224
+0.0193161
+0.021254
+0.0232296
+0.0252408
+0.0240967
+0.0230124
+0.0220873
+0.0213477
+0.0207517
+0.0203321
+0.0200467
+0.019877
+0.0199479
+0.0202569
+0.0207933
+0.0215165
+0.0224124
+0.023471
+0.0246746
+0.025993
+0.0461771
+0.0453872
+0.0446907
+0.0440922
+0.0435957
+0.0431923
+0.042888
+0.042672
+0.0425245
+0.0424895
+0.0425576
+0.0427261
+0.0430056
+0.0433103
+0.0436785
+0.0441481
+0.0447036
+0.0453582
+0.0454797
+0.0442913
+0.043175
+0.0421401
+0.0411958
+0.0403485
+0.0395798
+0.0388979
+0.0376713
+0.0360202
+0.0344294
+0.032885
+0.0314052
+0.0299866
+0.0285843
+0.0272368
+0.0257606
+0.0243834
+0.0230927
+0.0219453
+0.0208101
+0.01982
+0.0189423
+0.0181578
+0.0175344
+0.0170815
+0.0168271
+0.0167389
+0.0168456
+0.0168589
+0.0158775
+0.0148828
+0.0134294
+0.0118852
+0.0105369
+0.00921065
+0.00793791
+0.00659648
+0.00452303
+0.00255775
+0.000950378
+0.00016997
+-0.00089573
+-0.00197527
+-0.00187201
+-0.00120273
+-0.000587172
+0.000803195
+0.00209833
+0.00346792
+0.0046373
+0.00579478
+0.00660481
+0.00690551
+0.00764715
+0.00870951
+0.0100114
+0.0114386
+0.0130059
+0.0146268
+0.0162578
+0.0180079
+0.0198458
+0.0217363
+0.0236717
+0.0256483
+0.024752
+0.0236927
+0.0227718
+0.0219275
+0.0212761
+0.0208357
+0.0204668
+0.0203006
+0.0203701
+0.0206727
+0.0211986
+0.0219042
+0.0227704
+0.0237638
+0.024891
+0.0261505
+0.046981
+0.0462048
+0.0455209
+0.0449334
+0.0444463
+0.0440507
+0.0437523
+0.0435623
+0.0434602
+0.043426
+0.0435023
+0.0436787
+0.0439523
+0.0443325
+0.0448166
+0.0453595
+0.0459002
+0.0465378
+0.0472287
+0.0460826
+0.045008
+0.0440162
+0.0431131
+0.0423042
+0.0415552
+0.04075
+0.0391062
+0.0375183
+0.0359737
+0.03449
+0.0330588
+0.0316664
+0.0302976
+0.0288511
+0.0274548
+0.0261385
+0.0249387
+0.0237864
+0.0227284
+0.0217767
+0.0209488
+0.0201743
+0.019615
+0.019166
+0.0189396
+0.0188435
+0.0189384
+0.0182609
+0.017311
+0.0158515
+0.0142568
+0.0128127
+0.011376
+0.0101284
+0.0088262
+0.00674811
+0.00475172
+0.0029631
+0.00186064
+0.000593419
+-0.000564692
+-0.00170731
+-0.000994725
+-0.000273796
+0.000482543
+0.00203135
+0.00336055
+0.00468553
+0.00593252
+0.00691145
+0.00770373
+0.00829179
+0.00897862
+0.0099175
+0.0111055
+0.0124932
+0.0139814
+0.0154928
+0.0170936
+0.0187974
+0.0205651
+0.0224077
+0.024304
+0.026233
+0.0254843
+0.0243416
+0.0233489
+0.0225209
+0.0218375
+0.021358
+0.0210962
+0.020946
+0.0210127
+0.021219
+0.0216462
+0.0222808
+0.023067
+0.0240279
+0.0251433
+0.0263938
+0.0478561
+0.0471102
+0.0464396
+0.0458639
+0.0453868
+0.0449994
+0.0447074
+0.0445214
+0.0444428
+0.0444416
+0.0445161
+0.044698
+0.0449857
+0.0453572
+0.0458306
+0.0464027
+0.0470562
+0.0477585
+0.048486
+0.0479045
+0.0468717
+0.0459202
+0.0450552
+0.0442698
+0.0435512
+0.0421939
+0.0406085
+0.0390632
+0.0375758
+0.0361355
+0.0347513
+0.0333652
+0.0319431
+0.0305311
+0.0291952
+0.027955
+0.0267861
+0.0256744
+0.0246747
+0.0237743
+0.0229291
+0.0222237
+0.0216959
+0.0212718
+0.0210681
+0.0209658
+0.0208273
+0.0197979
+0.0184334
+0.016855
+0.0153545
+0.0138618
+0.012504
+0.0113808
+0.00938765
+0.00746747
+0.0057248
+0.00429241
+0.0034004
+0.00205234
+0.000854567
+-0.000624598
+-0.000387057
+0.00017061
+0.00112017
+0.00264081
+0.00449408
+0.00599707
+0.00740158
+0.00828442
+0.00891105
+0.00965702
+0.0103185
+0.0112896
+0.0123448
+0.0135967
+0.0150282
+0.016503
+0.0180595
+0.0196959
+0.021431
+0.0232206
+0.025054
+0.0269407
+0.0261578
+0.0250076
+0.0239977
+0.0231512
+0.0224047
+0.0218174
+0.0214389
+0.0212803
+0.0213245
+0.0215708
+0.0220332
+0.0226341
+0.0234085
+0.0243558
+0.025457
+0.026676
+0.0487911
+0.0480697
+0.0474324
+0.0468784
+0.0464117
+0.0460329
+0.0457475
+0.0455658
+0.0454889
+0.0455175
+0.0456081
+0.0457857
+0.0460668
+0.0464497
+0.046925
+0.0474839
+0.0481227
+0.0488457
+0.0496543
+0.0497562
+0.0487626
+0.0478487
+0.0470192
+0.0462524
+0.045283
+0.0436999
+0.042154
+0.0406624
+0.0392155
+0.037836
+0.036438
+0.0350361
+0.0336113
+0.0322599
+0.0309875
+0.0298059
+0.0286506
+0.0276019
+0.0266351
+0.025762
+0.0249446
+0.0242978
+0.0237796
+0.0233933
+0.0232001
+0.0231009
+0.0224025
+0.0211164
+0.0195879
+0.0180421
+0.0165407
+0.0151223
+0.0138614
+0.012244
+0.01039
+0.00866749
+0.00702007
+0.00552995
+0.00436964
+0.00336306
+0.00211339
+0.00128068
+0.00172357
+0.00220554
+0.00286417
+0.00397645
+0.00554701
+0.00732034
+0.00878586
+0.00974067
+0.0102616
+0.0110005
+0.0117861
+0.0126576
+0.0136769
+0.0148525
+0.0162232
+0.0176764
+0.0191815
+0.0207015
+0.0223189
+0.0240273
+0.0258087
+0.027649
+0.0267492
+0.0256103
+0.0245542
+0.0236449
+0.0228941
+0.0223197
+0.0219499
+0.021795
+0.021827
+0.0220677
+0.0225199
+0.0231712
+0.0239263
+0.0247389
+0.025678
+0.0267305
+0.0497926
+0.0490798
+0.0484557
+0.0479236
+0.0474868
+0.0471457
+0.046867
+0.0466897
+0.0466147
+0.0466425
+0.0467729
+0.0469504
+0.0472246
+0.0475982
+0.0480688
+0.0486198
+0.0492569
+0.0499701
+0.0507613
+0.0516283
+0.0506777
+0.0497989
+0.0490006
+0.048253
+0.0467921
+0.0452458
+0.04375
+0.0422982
+0.0409053
+0.0395148
+0.03813
+0.0366945
+0.0353303
+0.0340318
+0.0328281
+0.0316442
+0.0305492
+0.0295438
+0.028629
+0.0277447
+0.0269874
+0.0263907
+0.0258803
+0.0255259
+0.0253346
+0.0251015
+0.0238662
+0.0223766
+0.0208175
+0.0193319
+0.0177535
+0.0161561
+0.0146385
+0.0132068
+0.0113203
+0.0095397
+0.0079153
+0.00653414
+0.00509209
+0.00393865
+0.00310339
+0.00275942
+0.00306074
+0.00351062
+0.00415566
+0.00496792
+0.00632425
+0.008039
+0.00994249
+0.0112641
+0.0114097
+0.0119617
+0.0128276
+0.0136082
+0.014433
+0.015509
+0.0167639
+0.0180356
+0.0194353
+0.0209659
+0.0226054
+0.0243194
+0.0260895
+0.0279112
+0.027364
+0.0261871
+0.0251462
+0.0242591
+0.0235279
+0.0229694
+0.0226102
+0.0224599
+0.0225148
+0.0227316
+0.0230906
+0.0235972
+0.0241878
+0.0249574
+0.0258886
+0.0269328
+0.0508627
+0.0501651
+0.0495546
+0.0490345
+0.0486077
+0.0482666
+0.0479944
+0.0478212
+0.047748
+0.0477752
+0.0479027
+0.0481297
+0.0484363
+0.048818
+0.049277
+0.0498231
+0.050445
+0.0511533
+0.0519367
+0.0527893
+0.0526134
+0.0517675
+0.0509875
+0.0498851
+0.0483384
+0.0468389
+0.045383
+0.0439787
+0.0425946
+0.0412245
+0.0397801
+0.0384053
+0.037085
+0.03585
+0.0346562
+0.0335237
+0.0324829
+0.031506
+0.0306023
+0.0297566
+0.0290518
+0.0284819
+0.0279902
+0.0276628
+0.0274771
+0.0266067
+0.0250068
+0.0234268
+0.0219478
+0.0203564
+0.0186735
+0.017106
+0.0154897
+0.0136338
+0.0118923
+0.010321
+0.00894407
+0.00765026
+0.00626562
+0.00523947
+0.00436545
+0.00413441
+0.00430703
+0.00479287
+0.00536987
+0.00631847
+0.00753303
+0.00902086
+0.0107519
+0.0125887
+0.0127191
+0.0130582
+0.0135113
+0.0142658
+0.015097
+0.0161446
+0.0173226
+0.0185441
+0.0199081
+0.0214049
+0.0230114
+0.024698
+0.0264502
+0.0282629
+0.0280304
+0.0268923
+0.025873
+0.024997
+0.0242876
+0.0237365
+0.0233493
+0.0231638
+0.0231446
+0.0232786
+0.02359
+0.0240017
+0.0245826
+0.0253401
+0.0262282
+0.0272594
+0.051997
+0.0513138
+0.050716
+0.0502068
+0.0497746
+0.0494293
+0.0491636
+0.0489945
+0.0489231
+0.0489496
+0.0490741
+0.0492956
+0.0496131
+0.0500245
+0.0504915
+0.0510477
+0.0516908
+0.05239
+0.0531627
+0.0540094
+0.054565
+0.0537499
+0.0529787
+0.0514317
+0.0499289
+0.0484694
+0.0470553
+0.0456769
+0.0443076
+0.0428674
+0.0414802
+0.040145
+0.0388838
+0.0376821
+0.0365131
+0.0354306
+0.0344213
+0.0334964
+0.0325851
+0.0317921
+0.0311334
+0.030569
+0.0301105
+0.0298064
+0.0292779
+0.0276033
+0.0259965
+0.0244804
+0.0230403
+0.0213442
+0.0197457
+0.0180176
+0.016155
+0.014383
+0.012739
+0.0112824
+0.0100282
+0.00876132
+0.0075931
+0.00652357
+0.00595852
+0.00592404
+0.00605404
+0.00650382
+0.00703756
+0.00792693
+0.00899124
+0.01036
+0.011914
+0.0136297
+0.0136286
+0.0138307
+0.0142633
+0.01498
+0.0158689
+0.0168772
+0.0180424
+0.0192775
+0.0205845
+0.0220226
+0.0235767
+0.0252256
+0.0269518
+0.0287393
+0.0287103
+0.0276005
+0.026602
+0.0257391
+0.0250369
+0.0244754
+0.0240615
+0.0238037
+0.0237459
+0.0238765
+0.0240764
+0.0244601
+0.0250304
+0.0257748
+0.0266479
+0.0276635
+0.0531867
+0.0525189
+0.0519346
+0.0514222
+0.0509971
+0.0506601
+0.0504009
+0.050236
+0.0501663
+0.0501922
+0.0503136
+0.0505297
+0.0508394
+0.051241
+0.0517259
+0.0522867
+0.0529216
+0.0536318
+0.0544209
+0.0552718
+0.0561528
+0.0557478
+0.0545255
+0.0530199
+0.0515573
+0.0501345
+0.0487612
+0.0473798
+0.0459562
+0.0445574
+0.0432105
+0.0419271
+0.0407189
+0.0395183
+0.0384019
+0.0373661
+0.0363842
+0.0354586
+0.0345929
+0.033847
+0.0332233
+0.0326688
+0.0322402
+0.0319563
+0.0302942
+0.0286708
+0.0271273
+0.0256655
+0.0241174
+0.0225026
+0.0206948
+0.0188422
+0.0170698
+0.0154026
+0.0138791
+0.0124958
+0.0111299
+0.00981862
+0.0085581
+0.00761041
+0.00711579
+0.00716775
+0.00769347
+0.00825418
+0.00852976
+0.00920515
+0.0102543
+0.0115745
+0.0131287
+0.014699
+0.0146218
+0.0148283
+0.015275
+0.0159599
+0.0167988
+0.0177867
+0.0189144
+0.0201632
+0.0214195
+0.0228174
+0.024327
+0.0259282
+0.0276104
+0.0292339
+0.0294806
+0.0283836
+0.0274025
+0.0265662
+0.025862
+0.0252448
+0.0248025
+0.0245145
+0.0243768
+0.0244018
+0.0245861
+0.0249619
+0.025521
+0.0262515
+0.0271238
+0.0281132
+0.0544385
+0.0537851
+0.0531993
+0.0526976
+0.0522829
+0.0519542
+0.0517015
+0.0515407
+0.0514728
+0.0514981
+0.0516164
+0.0518271
+0.0521291
+0.0525203
+0.0529833
+0.053531
+0.0541617
+0.0548728
+0.055661
+0.0565231
+0.0574139
+0.0576062
+0.0561117
+0.0546463
+0.053216
+0.0518387
+0.0504551
+0.0490462
+0.0476374
+0.0462803
+0.0449778
+0.0437462
+0.0425368
+0.041389
+0.0403161
+0.0393025
+0.0383646
+0.0374406
+0.0366217
+0.035918
+0.0353082
+0.0347798
+0.0343776
+0.0330565
+0.0314231
+0.0298612
+0.0283669
+0.0269538
+0.0253384
+0.0234752
+0.0216389
+0.0198745
+0.0182029
+0.0166465
+0.0151957
+0.0137893
+0.0124111
+0.0110289
+0.00990615
+0.00907659
+0.00866605
+0.0086982
+0.00920227
+0.00972312
+0.0100616
+0.0106699
+0.0116079
+0.0128319
+0.0142504
+0.0158457
+0.0158181
+0.0160199
+0.0164611
+0.0171124
+0.0179313
+0.0188768
+0.0199665
+0.0211934
+0.022435
+0.023342
+0.0242195
+0.0252368
+0.0263812
+0.0276521
+0.0289163
+0.0291424
+0.0281532
+0.0272713
+0.0265191
+0.0259191
+0.025481
+0.0250972
+0.0248938
+0.0248823
+0.025063
+0.0254068
+0.0259205
+0.0266051
+0.027448
+0.0284261
+0.0554074
+0.0549539
+0.0545212
+0.0540317
+0.0536251
+0.0532903
+0.0530439
+0.0528872
+0.0528209
+0.0528455
+0.0529607
+0.0531661
+0.0534605
+0.0538425
+0.0543
+0.0548345
+0.0554505
+0.0561452
+0.0569158
+0.0577593
+0.0586724
+0.0592041
+0.057736
+0.0562992
+0.0549119
+0.0535331
+0.0521371
+0.0507196
+0.0493537
+0.0480346
+0.0467809
+0.045566
+0.0443884
+0.0432847
+0.0422457
+0.0412636
+0.0403252
+0.0394446
+0.0386682
+0.0380024
+0.0374037
+0.0369002
+0.035872
+0.0342346
+0.0326601
+0.0311423
+0.0296996
+0.0281981
+0.0263267
+0.0245082
+0.0227554
+0.0210846
+0.0194881
+0.0180151
+0.0166015
+0.0151904
+0.01374
+0.0124967
+0.0114694
+0.0107709
+0.0104058
+0.0104277
+0.0108422
+0.0113918
+0.0117814
+0.0123399
+0.0131812
+0.014281
+0.0156
+0.0165999
+0.0170667
+0.017142
+0.0170337
+0.017158
+0.0175136
+0.0181192
+0.0189417
+0.0199429
+0.0208124
+0.0215706
+0.0225172
+0.0235904
+0.0248001
+0.0259815
+0.0272879
+0.0287022
+0.0288919
+0.0280333
+0.0272661
+0.0265419
+0.0259828
+0.0255996
+0.0254001
+0.0253888
+0.025566
+0.025921
+0.0264247
+0.0270966
+0.0279247
+0.0288954
+0.0563644
+0.0559353
+0.0555892
+0.0553277
+0.0550073
+0.054681
+0.0544409
+0.0542882
+0.0542237
+0.0542476
+0.0543599
+0.05456
+0.0548469
+0.0552193
+0.0556718
+0.0561932
+0.0567945
+0.0574729
+0.058226
+0.0590507
+0.0599442
+0.0608258
+0.059384
+0.0579878
+0.0566133
+0.0552289
+0.0538036
+0.05243
+0.0510964
+0.0498234
+0.0486039
+0.0474006
+0.0462696
+0.0452044
+0.0441849
+0.0432365
+0.042306
+0.0414675
+0.0407297
+0.0400798
+0.0395048
+0.0387302
+0.03709
+0.0355088
+0.0339735
+0.0325054
+0.0309281
+0.0290976
+0.0272852
+0.0255172
+0.0238137
+0.0221958
+0.0206836
+0.0193021
+0.0180727
+0.016585
+0.0152677
+0.0141133
+0.0132122
+0.0125885
+0.0122776
+0.0122961
+0.0126492
+0.0131942
+0.0136369
+0.0141528
+0.0145776
+0.0142463
+0.0142097
+0.0144614
+0.0149727
+0.0150043
+0.0148811
+0.0150231
+0.0154201
+0.0161046
+0.0170015
+0.0181103
+0.0190577
+0.019883
+0.0208865
+0.0219701
+0.0230894
+0.0243539
+0.025743
+0.0272376
+0.0288214
+0.0287533
+0.0279011
+0.0271938
+0.0266484
+0.0262749
+0.0260806
+0.0260696
+0.0262421
+0.0265882
+0.0270794
+0.0277355
+0.028545
+0.0294496
+0.057377
+0.0569555
+0.0566156
+0.0563589
+0.0561866
+0.0560993
+0.0558889
+0.0557401
+0.0556773
+0.0557006
+0.05581
+0.0560048
+0.0562844
+0.0566473
+0.0570921
+0.0576033
+0.0581899
+0.0588523
+0.0595879
+0.0603941
+0.061268
+0.0622068
+0.0610659
+0.0596953
+0.0583213
+0.0568891
+0.0555065
+0.0541623
+0.0528724
+0.0516432
+0.0504231
+0.0492642
+0.0481706
+0.0471287
+0.0461466
+0.0451986
+0.0443066
+0.0435066
+0.042804
+0.0421671
+0.041615
+0.0399812
+0.0383945
+0.0368477
+0.0352711
+0.0336757
+0.0318627
+0.0300451
+0.0282804
+0.0265792
+0.0249545
+0.0234221
+0.0219851
+0.0206746
+0.0195074
+0.0181377
+0.0169121
+0.0158681
+0.0150723
+0.0145095
+0.0142406
+0.0142566
+0.013918
+0.0132761
+0.0129761
+0.0129482
+0.0124731
+0.0120954
+0.0120522
+0.0123394
+0.0129109
+0.0128844
+0.0127414
+0.0129016
+0.0133578
+0.0141274
+0.0151299
+0.0163527
+0.0174022
+0.0183022
+0.0192115
+0.0202583
+0.0214661
+0.0228207
+0.0242976
+0.0258759
+0.0275381
+0.02927
+0.0286897
+0.0280024
+0.027473
+0.0271108
+0.0269226
+0.026912
+0.0270791
+0.0274146
+0.0278913
+0.0285061
+0.0291724
+0.0299508
+0.0584542
+0.0580405
+0.057707
+0.0574552
+0.0572861
+0.0571901
+0.0571721
+0.057238
+0.0571779
+0.0572006
+0.0573071
+0.0574969
+0.0577693
+0.0581229
+0.058549
+0.059045
+0.0596175
+0.0602642
+0.0609828
+0.0617707
+0.0626254
+0.0635442
+0.0627789
+0.0614002
+0.0599759
+0.0585842
+0.0572317
+0.0559268
+0.0546785
+0.0534543
+0.0522708
+0.0511525
+0.0500912
+0.0490705
+0.0481139
+0.0471782
+0.0463243
+0.0455599
+0.0448787
+0.0442644
+0.0429012
+0.0412853
+0.0396338
+0.0380303
+0.0364028
+0.0345462
+0.032731
+0.0309644
+0.0292552
+0.0276142
+0.0260526
+0.0245692
+0.0231978
+0.0219598
+0.020872
+0.0197781
+0.0186609
+0.0177203
+0.0170018
+0.0155367
+0.0141799
+0.0130327
+0.0120789
+0.0113858
+0.0110345
+0.0110288
+0.0104044
+0.00996182
+0.00990936
+0.010216
+0.0108921
+0.0107928
+0.0106224
+0.0108028
+0.0113437
+0.0122083
+0.0133537
+0.0146907
+0.0158113
+0.0165543
+0.017507
+0.0186459
+0.0199516
+0.0214022
+0.0229705
+0.0246291
+0.0263595
+0.0281539
+0.0294433
+0.028815
+0.0283423
+0.0280334
+0.027869
+0.0278557
+0.0279627
+0.0281952
+0.0285941
+0.0291526
+0.0298093
+0.030591
+0.0595827
+0.0591768
+0.0588498
+0.0586029
+0.0584372
+0.0583399
+0.0583223
+0.0583868
+0.0585334
+0.058744
+0.0588477
+0.0590326
+0.0592979
+0.0596394
+0.0600466
+0.0605304
+0.0610889
+0.0617202
+0.062422
+0.063192
+0.0640278
+0.0649267
+0.0644767
+0.0630639
+0.061664
+0.060304
+0.0589857
+0.0577204
+0.0564927
+0.0552875
+0.0541441
+0.0530589
+0.0520147
+0.0510325
+0.0500769
+0.0491758
+0.0483572
+0.0476254
+0.0469571
+0.0457721
+0.0440709
+0.0424137
+0.0407992
+0.0391429
+0.0372941
+0.0354842
+0.0337195
+0.0320075
+0.0303571
+0.0287722
+0.0272606
+0.0258464
+0.0245465
+0.0233776
+0.0223488
+0.0210239
+0.0191846
+0.0174268
+0.0157777
+0.0141668
+0.012686
+0.0113893
+0.0103128
+0.00953682
+0.00911452
+0.00911945
+0.00836794
+0.00782556
+0.00776106
+0.00812845
+0.00890706
+0.008745
+0.00853969
+0.00874909
+0.0094003
+0.0103972
+0.0116773
+0.0131843
+0.0140734
+0.0148632
+0.0159174
+0.0171616
+0.0185623
+0.0200993
+0.0217465
+0.0234743
+0.0252739
+0.0271312
+0.0290349
+0.0296839
+0.0292168
+0.0288765
+0.0286999
+0.0286079
+0.0286683
+0.0288951
+0.0292844
+0.02983
+0.0305234
+0.0313516
+0.0607635
+0.0603657
+0.0600451
+0.0598031
+0.0596407
+0.0595482
+0.0595308
+0.0595941
+0.0597377
+0.059961
+0.0602632
+0.0606085
+0.060867
+0.0611888
+0.0615857
+0.0620575
+0.0626024
+0.0632186
+0.063904
+0.0646563
+0.0654734
+0.0663527
+0.0661528
+0.0647456
+0.0633788
+0.0620485
+0.060768
+0.0595373
+0.0583127
+0.0571459
+0.0560375
+0.0549757
+0.0539585
+0.0529951
+0.0520554
+0.0511891
+0.0504032
+0.0496971
+0.0485967
+0.0468957
+0.0452326
+0.0436124
+0.0419329
+0.040093
+0.0382901
+0.0365295
+0.0348179
+0.0331626
+0.0315615
+0.0300305
+0.0285855
+0.0272401
+0.0260044
+0.0239677
+0.0219607
+0.0199923
+0.0180657
+0.0161868
+0.0143964
+0.0127317
+0.011207
+0.00991004
+0.00870735
+0.00780219
+0.00732066
+0.0073271
+0.00642865
+0.00570577
+0.00561581
+0.00608654
+0.00701067
+0.00677777
+0.00651359
+0.00678175
+0.00755154
+0.0087233
+0.0101963
+0.0118469
+0.012427
+0.0133147
+0.014433
+0.015764
+0.0172682
+0.0188978
+0.0206316
+0.0224453
+0.0243213
+0.026246
+0.0282096
+0.0302044
+0.0301483
+0.0298187
+0.0295609
+0.0294568
+0.0295154
+0.0297358
+0.0301143
+0.0306451
+0.0313204
+0.0321313
+0.0619994
+0.0616095
+0.0612954
+0.0610584
+0.0608993
+0.0608113
+0.0607944
+0.0608563
+0.0609969
+0.0612157
+0.0615117
+0.0618839
+0.0623309
+0.0627764
+0.0631634
+0.0636234
+0.064155
+0.0647565
+0.0654257
+0.0661608
+0.0669595
+0.0678196
+0.0678286
+0.0664558
+0.0651146
+0.0638205
+0.0625763
+0.0613452
+0.0601574
+0.0590271
+0.0579489
+0.0569028
+0.0559206
+0.0549589
+0.0540503
+0.0532165
+0.052461
+0.0514529
+0.049753
+0.0480859
+0.046462
+0.0447634
+0.042933
+0.0411379
+0.0393829
+0.0376734
+0.0360153
+0.0344038
+0.0328591
+0.0313914
+0.029571
+0.027453
+0.0253435
+0.023249
+0.021174
+0.0191248
+0.0171107
+0.0151457
+0.0132354
+0.0114024
+0.00971877
+0.00822303
+0.00704568
+0.00631944
+0.00571473
+0.00571741
+0.00459425
+0.00366979
+0.00352683
+0.00411576
+0.00528433
+0.00492324
+0.00462539
+0.00500239
+0.00591857
+0.00730064
+0.00898981
+0.0103158
+0.0109122
+0.0118351
+0.0130638
+0.0145208
+0.0161413
+0.017874
+0.019698
+0.0215904
+0.0235345
+0.0255129
+0.0275171
+0.0295478
+0.031206
+0.0307973
+0.0305407
+0.03044
+0.0304967
+0.03071
+0.0310767
+0.0315913
+0.0322469
+0.0330349
+0.0632869
+0.062905
+0.0625975
+0.0623654
+0.0622097
+0.0621258
+0.0621092
+0.0621698
+0.0623075
+0.0625217
+0.0628115
+0.0631761
+0.063614
+0.0641239
+0.0647039
+0.0652253
+0.065744
+0.066331
+0.0669846
+0.0677027
+0.0684834
+0.0693246
+0.0695332
+0.0681837
+0.0668772
+0.0656178
+0.064384
+0.0631774
+0.0620247
+0.0609248
+0.0598625
+0.0588483
+0.0578793
+0.0569363
+0.0560598
+0.0552564
+0.0543355
+0.0526351
+0.0509678
+0.0493414
+0.0476272
+0.0458065
+0.0440196
+0.0422706
+0.0405646
+0.0389024
+0.0372867
+0.0356002
+0.0334375
+0.0312787
+0.0291247
+0.0269766
+0.0248355
+0.022702
+0.0205788
+0.0184709
+0.0163819
+0.0143198
+0.0122993
+0.0103469
+0.00848091
+0.00677889
+0.00535948
+0.00446643
+0.00432828
+0.00450961
+0.00308546
+0.00187025
+0.00162155
+0.00239859
+0.00383299
+0.00332569
+0.00302286
+0.00349931
+0.00458208
+0.00596419
+0.0076312
+0.00889462
+0.00954072
+0.0105839
+0.011942
+0.0135204
+0.0152433
+0.0170712
+0.0189596
+0.0209053
+0.0228954
+0.0249191
+0.0269682
+0.0290373
+0.031123
+0.0318691
+0.0316212
+0.0315239
+0.0315787
+0.0317847
+0.0321391
+0.032637
+0.0331698
+0.0337994
+0.0646231
+0.0642491
+0.063948
+0.0637209
+0.0635685
+0.0634864
+0.0634702
+0.0635295
+0.0636642
+0.0638738
+0.0641576
+0.0645145
+0.0649435
+0.0654429
+0.0660114
+0.066647
+0.0673479
+0.0679397
+0.0685779
+0.0692796
+0.0700427
+0.0708654
+0.0712552
+0.0699375
+0.0686644
+0.0674281
+0.0662045
+0.0650317
+0.0639122
+0.0628356
+0.0617925
+0.0608104
+0.0598435
+0.0589288
+0.0579779
+0.0570722
+0.0555402
+0.0538737
+0.0522459
+0.0504643
+0.0486523
+0.0468708
+0.0451152
+0.0433993
+0.0417277
+0.0397264
+0.0375458
+0.0353664
+0.0331884
+0.0310123
+0.0288384
+0.0266672
+0.0244991
+0.0223336
+0.0201716
+0.0180163
+0.0158708
+0.0137396
+0.0116304
+0.009558
+0.00755268
+0.00562624
+0.00396262
+0.00281297
+0.00265496
+0.00332684
+0.00213426
+0.000699443
+0.000329029
+0.0010847
+0.00282956
+0.00215575
+0.001718
+0.00167315
+0.00287954
+0.00460037
+0.00659529
+0.0077474
+0.00845092
+0.00960485
+0.0110719
+0.0127354
+0.0145246
+0.0164114
+0.0183658
+0.0203683
+0.0224061
+0.0244703
+0.0265548
+0.0286552
+0.0307681
+0.0328912
+0.0327979
+0.0327041
+0.0327569
+0.0329304
+0.0331608
+0.033533
+0.0340279
+0.0346395
+0.0660049
+0.0656388
+0.0653442
+0.0651219
+0.0649728
+0.0648925
+0.0648766
+0.0649346
+0.0650665
+0.0652716
+0.0655493
+0.0658987
+0.0663187
+0.0668079
+0.0673648
+0.0679877
+0.068675
+0.0694246
+0.0702035
+0.0708891
+0.0716351
+0.0724397
+0.073001
+0.0716495
+0.0701826
+0.0687543
+0.0673669
+0.066023
+0.0647254
+0.0634769
+0.0622798
+0.0611365
+0.0600515
+0.0590278
+0.0580679
+0.0571628
+0.0563285
+0.0551273
+0.0532938
+0.0514881
+0.0497041
+0.0479522
+0.0461984
+0.0440113
+0.0418246
+0.0396383
+0.0374525
+0.0352673
+0.0330829
+0.0308993
+0.0287168
+0.0265357
+0.0243559
+0.0221764
+0.0199974
+0.0178211
+0.0156488
+0.0134825
+0.0113256
+0.00918468
+0.00707432
+0.00503305
+0.00310069
+0.00164921
+0.00154068
+0.00267803
+0.00146258
+-0.000364667
+-0.000896283
+0.00065482
+0.00229416
+0.00158057
+0.000371023
+-0.000202168
+0.00175476
+0.00387183
+0.00596999
+0.00693195
+0.00771024
+0.00896893
+0.0105095
+0.0122321
+0.0140853
+0.016024
+0.0180204
+0.0200575
+0.0221239
+0.0242122
+0.0263172
+0.0284351
+0.0305632
+0.0326996
+0.0339955
+0.0337954
+0.0337366
+0.0338199
+0.0340443
+0.0343968
+0.0348404
+0.0354141
+0.0674297
+0.0670713
+0.066783
+0.0665655
+0.0664196
+0.0663411
+0.0663256
+0.0663823
+0.0665113
+0.0667119
+0.0669837
+0.0673256
+0.0677368
+0.0682158
+0.0687613
+0.0693718
+0.0700454
+0.0707805
+0.0715751
+0.0724273
+0.0732583
+0.0740453
+0.0732965
+0.0717948
+0.0703293
+0.0689023
+0.0675162
+0.0661737
+0.0648773
+0.06363
+0.0624346
+0.0612942
+0.060212
+0.0591911
+0.0582339
+0.0573315
+0.0564996
+0.0557414
+0.054347
+0.0525673
+0.0505993
+0.0484127
+0.0462265
+0.0440408
+0.0418557
+0.0396711
+0.0374872
+0.0353042
+0.0331199
+0.0309347
+0.0287503
+0.026567
+0.024385
+0.0222047
+0.0200266
+0.0178517
+0.0156812
+0.0135172
+0.0113633
+0.00922691
+0.00712352
+0.00507147
+0.00313249
+0.00160833
+0.00163226
+0.00290154
+0.00197204
+3.17304e-05
+-0.000377489
+0.0010631
+0.00264724
+0.00144635
+6.69313e-05
+-0.000484626
+0.00166515
+0.00374758
+0.00587594
+0.00670241
+0.00750454
+0.00879273
+0.0103544
+0.012098
+0.0139681
+0.0159202
+0.0179275
+0.0199733
+0.0220471
+0.0241415
+0.0262516
+0.0283739
+0.0305059
+0.0326457
+0.0347918
+0.0347682
+0.0347111
+0.0347887
+0.0349807
+0.0353074
+0.0357447
+0.0363042
+0.0688946
+0.0685439
+0.0682618
+0.068049
+0.0679063
+0.0678295
+0.0678143
+0.0678699
+0.067996
+0.0681923
+0.0684581
+0.0687928
+0.0691952
+0.0696642
+0.0701985
+0.0707965
+0.0714567
+0.0721774
+0.0729568
+0.0737931
+0.0746842
+0.075024
+0.0734934
+0.0719958
+0.0705345
+0.0691117
+0.06773
+0.0663917
+0.0650997
+0.0638567
+0.0626656
+0.0615296
+0.0604516
+0.0594348
+0.0584815
+0.057583
+0.0567548
+0.0560001
+0.055073
+0.0528874
+0.0507023
+0.0485177
+0.0463336
+0.0441502
+0.0419676
+0.0397859
+0.0376052
+0.0354257
+0.0332477
+0.0310715
+0.0288975
+0.0267262
+0.0245583
+0.0223949
+0.0202374
+0.0180878
+0.0159494
+0.0138274
+0.0117307
+0.00967573
+0.00769433
+0.00577431
+0.0040991
+0.00300437
+0.00300764
+0.0039504
+0.00297542
+0.00175805
+0.00163754
+0.00244161
+0.00347324
+0.00248227
+0.00137479
+0.0011279
+0.0022955
+0.00419748
+0.00622494
+0.00704953
+0.00781611
+0.00906011
+0.0105824
+0.0122937
+0.0141379
+0.0160694
+0.0180601
+0.0200925
+0.0221551
+0.0242401
+0.0263423
+0.0284579
+0.0305841
+0.0327187
+0.0348603
+0.0358091
+0.0357504
+0.0358034
+0.0359896
+0.0363073
+0.0367339
+0.0372785
+0.0703972
+0.0700541
+0.069778
+0.0695699
+0.0694304
+0.0693552
+0.0693404
+0.0693947
+0.069518
+0.06971
+0.0699701
+0.0702976
+0.0706914
+0.0711506
+0.0716738
+0.0722596
+0.0729066
+0.0736131
+0.0743774
+0.0751979
+0.0760726
+0.0752802
+0.0737549
+0.0722628
+0.0708069
+0.0693898
+0.0680136
+0.0666811
+0.0653948
+0.0641575
+0.0629721
+0.0618417
+0.0607692
+0.0597578
+0.0588098
+0.0579164
+0.057093
+0.0563429
+0.0552369
+0.0530581
+0.0508803
+0.0487037
+0.0465283
+0.0443545
+0.0421825
+0.0400125
+0.0378448
+0.03568
+0.0335185
+0.0313611
+0.0292087
+0.0270623
+0.0249237
+0.022795
+0.0206793
+0.0185809
+0.0165065
+0.0144665
+0.0124688
+0.0105219
+0.00869179
+0.00704072
+0.00569159
+0.00491973
+0.00489127
+0.0055723
+0.00462243
+0.00385941
+0.00375936
+0.00427515
+0.00508831
+0.00415552
+0.0034548
+0.00328666
+0.00396407
+0.00532133
+0.00708486
+0.0080042
+0.00868694
+0.00982125
+0.0112409
+0.0128649
+0.0146374
+0.0165105
+0.0184537
+0.020447
+0.0224771
+0.0245348
+0.0266137
+0.0287093
+0.0308181
+0.0329376
+0.0350659
+0.0369475
+0.0368689
+0.03692
+0.0371007
+0.0374089
+0.037823
+0.0383522
+0.0719352
+0.0715994
+0.0713293
+0.0711258
+0.0709893
+0.0709158
+0.0709013
+0.0709544
+0.071075
+0.0712628
+0.0715173
+0.0718377
+0.0722231
+0.0726726
+0.0731849
+0.0737587
+0.0743927
+0.0750852
+0.0758347
+0.0766395
+0.0771493
+0.075599
+0.0740803
+0.0725948
+0.0711458
+0.0697355
+0.0683663
+0.0670408
+0.0657615
+0.0645313
+0.0633529
+0.0622294
+0.0611637
+0.0601589
+0.0592174
+0.0583302
+0.0575127
+0.0567681
+0.0554869
+0.0533183
+0.0511516
+0.048987
+0.0468249
+0.0446655
+0.0425093
+0.0403569
+0.0382088
+0.0360658
+0.0339289
+0.0317994
+0.0296787
+0.027569
+0.025473
+0.0233943
+0.0213381
+0.0193114
+0.0173102
+0.0153521
+0.0134658
+0.0116862
+0.01007
+0.00865743
+0.00756058
+0.00696873
+0.00693197
+0.00742727
+0.00655961
+0.00600846
+0.00590991
+0.00630224
+0.0069516
+0.00612591
+0.005594
+0.00546455
+0.00591715
+0.00696642
+0.00839106
+0.00934464
+0.00993569
+0.0109413
+0.0122599
+0.013765
+0.0154344
+0.0172211
+0.0190921
+0.0210249
+0.0230041
+0.0250185
+0.0270603
+0.0291238
+0.0312046
+0.0332995
+0.035406
+0.0375221
+0.0380805
+0.0381299
+0.0383048
+0.0386035
+0.0390049
+0.0395183
+0.0735063
+0.0731777
+0.0729135
+0.0727144
+0.0725808
+0.072509
+0.0724947
+0.0725467
+0.0726647
+0.0728484
+0.0730973
+0.0734108
+0.0737881
+0.0742281
+0.0747297
+0.0752918
+0.0759129
+0.0765917
+0.0773266
+0.0781161
+0.0775224
+0.0759797
+0.0744687
+0.0729911
+0.0715502
+0.070148
+0.068787
+0.0674697
+0.0661988
+0.0649768
+0.0638067
+0.0626913
+0.0616336
+0.0606366
+0.0597026
+0.0588227
+0.0580122
+0.0572741
+0.0558218
+0.0536667
+0.0515147
+0.049366
+0.0472212
+0.0450809
+0.0429456
+0.0408161
+0.0386935
+0.036579
+0.0344739
+0.0323802
+0.0303002
+0.028237
+0.0261945
+0.0241768
+0.0221768
+0.0202152
+0.0183058
+0.0164664
+0.0147236
+0.0131158
+0.0116769
+0.0104385
+0.0095485
+0.00906229
+0.00903427
+0.00942108
+0.00859379
+0.00817953
+0.00808035
+0.00839304
+0.00890971
+0.00820874
+0.00775965
+0.00764736
+0.00799437
+0.00883597
+0.0100111
+0.0109357
+0.0114448
+0.012328
+0.0135119
+0.0149252
+0.016486
+0.0181696
+0.0199518
+0.0218086
+0.0237225
+0.0256806
+0.0276736
+0.0296945
+0.0317379
+0.0337997
+0.0358769
+0.0379668
+0.0393767
+0.0394245
+0.0395937
+0.0398827
+0.0402687
+0.0407662
+0.0751084
+0.0747868
+0.0745283
+0.0743335
+0.0742029
+0.0741326
+0.0741187
+0.0741696
+0.074285
+0.0744647
+0.0747082
+0.075015
+0.0753842
+0.0758149
+0.0763061
+0.0768567
+0.0774653
+0.0781306
+0.0788511
+0.07952
+0.0779552
+0.0764213
+0.0749192
+0.0734507
+0.0720189
+0.0706261
+0.0692745
+0.0679666
+0.0667051
+0.0654926
+0.0643319
+0.0632257
+0.0621771
+0.061189
+0.0602635
+0.059392
+0.0585894
+0.0578586
+0.0562401
+0.0541017
+0.0519677
+0.0498386
+0.047715
+0.0455978
+0.0434879
+0.0413864
+0.0392946
+0.0372142
+0.0351472
+0.0330962
+0.0310642
+0.0290502
+0.0270549
+0.0250922
+0.0231703
+0.0213005
+0.0194976
+0.017782
+0.0161814
+0.0147248
+0.0134103
+0.012347
+0.0115993
+0.0111922
+0.0111704
+0.011405
+0.0106886
+0.0103587
+0.0102594
+0.0105139
+0.0109011
+0.0103032
+0.00993589
+0.00983325
+0.0101167
+0.0107941
+0.0118167
+0.0127064
+0.0131472
+0.0139228
+0.0149812
+0.0162673
+0.0177317
+0.019321
+0.0210058
+0.0227768
+0.0246155
+0.0265077
+0.0284428
+0.0304126
+0.0324108
+0.0344324
+0.0364735
+0.0385311
+0.0406026
+0.040788
+0.0409515
+0.041231
+0.0416091
+0.0420907
+0.0767396
+0.0764249
+0.076172
+0.0759814
+0.0758536
+0.0757848
+0.0757712
+0.075821
+0.0759339
+0.0761097
+0.076348
+0.0766482
+0.0770096
+0.0774312
+0.0779123
+0.0784515
+0.0790479
+0.0796999
+0.0804065
+0.080002
+0.0784469
+0.0769227
+0.0754307
+0.0739723
+0.0725508
+0.0711684
+0.0698273
+0.06853
+0.067279
+0.0660771
+0.0649268
+0.0638309
+0.0627925
+0.0618142
+0.0608982
+0.0600359
+0.059242
+0.0585194
+0.05674
+0.0546212
+0.0525082
+0.050402
+0.0483032
+0.0462129
+0.0441325
+0.0420631
+0.0400068
+0.0379654
+0.0359416
+0.0339302
+0.0319392
+0.0299761
+0.0280467
+0.0261585
+0.0243211
+0.0225469
+0.020852
+0.0192575
+0.0177901
+0.0164288
+0.0152617
+0.0143364
+0.013686
+0.0133418
+0.0133146
+0.0134367
+0.0128154
+0.0125101
+0.0124425
+0.0126586
+0.0129569
+0.0124226
+0.012117
+0.0120209
+0.0122599
+0.0128246
+0.0137198
+0.0145846
+0.0149701
+0.0156556
+0.0166039
+0.0177731
+0.0191225
+0.0206155
+0.0222159
+0.023907
+0.0256649
+0.0274849
+0.0293557
+0.0312681
+0.0332148
+0.0351902
+0.0371898
+0.0392098
+0.0412472
+0.0422199
+0.0423779
+0.042648
+0.0430193
+0.0434853
+0.0783981
+0.0780901
+0.0778426
+0.0776561
+0.0775311
+0.0774638
+0.0774505
+0.0774991
+0.0776096
+0.0777816
+0.0780148
+0.0783086
+0.0786624
+0.0790752
+0.0795463
+0.0800746
+0.0806589
+0.0812981
+0.0819908
+0.0805408
+0.0789963
+0.0774829
+0.0760018
+0.0745547
+0.0731445
+0.0717735
+0.0704439
+0.0691582
+0.0679188
+0.0667284
+0.0655895
+0.0645049
+0.0634775
+0.0625099
+0.0616043
+0.060752
+0.0599675
+0.0592538
+0.0573193
+0.0552227
+0.0531337
+0.0510532
+0.0489824
+0.0469224
+0.0448748
+0.0428414
+0.040823
+0.0388149
+0.0368273
+0.0348642
+0.0329297
+0.0310293
+0.0291697
+0.0273591
+0.025608
+0.0239294
+0.0223396
+0.0208591
+0.0194723
+0.018237
+0.0171931
+0.0163773
+0.0158009
+0.0155003
+0.0154693
+0.0154821
+0.0149388
+0.0146733
+0.0146279
+0.0148167
+0.0150509
+0.014563
+0.0143008
+0.0142095
+0.0144174
+0.0149005
+0.0156776
+0.0165292
+0.0168704
+0.0174815
+0.0183356
+0.0194007
+0.020644
+0.0220342
+0.0235383
+0.0251435
+0.0268317
+0.0285881
+0.0303993
+0.0322499
+0.0341407
+0.0360654
+0.038019
+0.0399971
+0.0419964
+0.0437147
+0.0438673
+0.0441283
+0.0444927
+0.0449434
+0.0800819
+0.0797804
+0.0795381
+0.0793556
+0.0792333
+0.0791677
+0.0791547
+0.0792023
+0.0793104
+0.0794788
+0.079707
+0.0799946
+0.0803409
+0.0807452
+0.0812066
+0.0817241
+0.0822967
+0.0829233
+0.0826978
+0.0811352
+0.0796022
+0.0781005
+0.0766314
+0.0751964
+0.0737984
+0.0724398
+0.0711227
+0.0698495
+0.0686226
+0.0674446
+0.066318
+0.0652455
+0.0642299
+0.0632739
+0.0623793
+0.0615377
+0.0607635
+0.060056
+0.0579756
+0.0559036
+0.0538411
+0.051789
+0.0497488
+0.0477219
+0.0457062
+0.0437026
+0.0417179
+0.0397548
+0.0378167
+0.0359076
+0.0340325
+0.0321973
+0.0304092
+0.028677
+0.0270114
+0.0254256
+0.0239355
+0.0225307
+0.0212474
+0.0201213
+0.0191803
+0.0184518
+0.0179341
+0.0176594
+0.0176308
+0.0175564
+0.0170792
+0.0168435
+0.0168125
+0.0169832
+0.017169
+0.0167165
+0.0164863
+0.0163986
+0.0165836
+0.0170053
+0.0176902
+0.0185288
+0.0188338
+0.0193832
+0.0201569
+0.0211303
+0.0222773
+0.0235713
+0.0249831
+0.0265009
+0.0281077
+0.029789
+0.0315329
+0.0333296
+0.035171
+0.0370496
+0.0389539
+0.0408868
+0.0428445
+0.0448239
+0.0454136
+0.0456658
+0.0460209
+0.0464592
+0.0817828
+0.0814877
+0.0812505
+0.0810718
+0.0809521
+0.0808915
+0.0808824
+0.080929
+0.0810347
+0.0811995
+0.0814229
+0.0817045
+0.0820436
+0.0824395
+0.0828915
+0.0833986
+0.0839598
+0.084574
+0.0833343
+0.0817839
+0.0802633
+0.0787743
+0.0773179
+0.0758959
+0.0745111
+0.0731657
+0.0718619
+0.070602
+0.0693884
+0.0682236
+0.0671101
+0.0660505
+0.0650475
+0.0641033
+0.0632097
+0.0623791
+0.0616153
+0.0607618
+0.0587064
+0.0566612
+0.0546272
+0.0526058
+0.0505922
+0.0485926
+0.0466101
+0.0446471
+0.0427063
+0.0407908
+0.0389044
+0.0370514
+0.0352372
+0.0334681
+0.0317516
+0.0300968
+0.0285143
+0.0270169
+0.0255987
+0.0242799
+0.0230939
+0.0220623
+0.0212076
+0.0205435
+0.0200773
+0.0198255
+0.0197936
+0.0196559
+0.0192309
+0.0190184
+0.018991
+0.0191552
+0.0193033
+0.0188786
+0.018673
+0.0185881
+0.0187555
+0.0191294
+0.0197407
+0.0205674
+0.0208426
+0.0213403
+0.0220454
+0.0229388
+0.0239996
+0.0252053
+0.0265303
+0.0279643
+0.0294914
+0.031098
+0.0327723
+0.0345046
+0.0362864
+0.0381108
+0.0399721
+0.0418653
+0.043786
+0.0457246
+0.0470111
+0.0472548
+0.0475981
+0.048027
+0.0835063
+0.0832172
+0.082985
+0.0828101
+0.0826928
+0.0826335
+0.082632
+0.0826776
+0.0827812
+0.0829425
+0.0831612
+0.0834369
+0.083769
+0.0841568
+0.0845996
+0.0850965
+0.0856465
+0.0855892
+0.0840232
+0.0824857
+0.0809783
+0.0795027
+0.0780599
+0.0766516
+0.0752807
+0.0739493
+0.0726596
+0.0714138
+0.0702142
+0.0690634
+0.0679636
+0.0669176
+0.0659266
+0.0649834
+0.0641009
+0.0632821
+0.0625293
+0.0615375
+0.0595089
+0.0574909
+0.0554804
+0.0534841
+0.0515036
+0.0495407
+0.0475978
+0.0456773
+0.0437821
+0.0419158
+0.0400823
+0.0382864
+0.0365336
+0.0348304
+0.0331845
+0.0316048
+0.0301017
+0.0286731
+0.0273271
+0.0260958
+0.0249961
+0.0240463
+0.0232638
+0.0226537
+0.0222237
+0.0219965
+0.0219614
+0.0217734
+0.0213905
+0.0211966
+0.021172
+0.021331
+0.021442
+0.0210466
+0.0208542
+0.0207779
+0.0209313
+0.021267
+0.0218185
+0.02257
+0.0228848
+0.023339
+0.0239854
+0.0248091
+0.025793
+0.0269186
+0.028163
+0.0295178
+0.0309684
+0.0325021
+0.0341076
+0.0357752
+0.0374967
+0.0392649
+0.0410739
+0.0429185
+0.0447943
+0.0466975
+0.0486249
+0.0488903
+0.0492222
+0.049642
+0.0852511
+0.084968
+0.0847406
+0.0845693
+0.0844545
+0.0843965
+0.0843953
+0.0844469
+0.0845482
+0.0847062
+0.0849204
+0.0851904
+0.0855156
+0.0858956
+0.0863295
+0.0868165
+0.0873557
+0.0863157
+0.0847631
+0.0832393
+0.0817458
+0.0802843
+0.0788558
+0.077462
+0.0761057
+0.074789
+0.073514
+0.0722829
+0.071098
+0.0699617
+0.0688763
+0.0678419
+0.0668537
+0.0659235
+0.0650538
+0.0642471
+0.0635057
+0.0623771
+0.0603703
+0.0583768
+0.0563979
+0.0544352
+0.0524906
+0.0505661
+0.0486641
+0.0467874
+0.0449391
+0.0431228
+0.0413429
+0.0396042
+0.0379124
+0.036274
+0.0346966
+0.0331889
+0.0317521
+0.0303846
+0.0291178
+0.0279654
+0.0269422
+0.0260631
+0.0253383
+0.0247763
+0.0243766
+0.0241697
+0.0241334
+0.0239041
+0.0235558
+0.0233771
+0.0233548
+0.0235093
+0.0235778
+0.0232188
+0.0230369
+0.0229678
+0.0231071
+0.0234144
+0.0239164
+0.024604
+0.0249499
+0.0253671
+0.0259631
+0.0267259
+0.0276417
+0.0286958
+0.0298673
+0.031148
+0.032526
+0.0339895
+0.0355278
+0.0371317
+0.038793
+0.0405047
+0.0422607
+0.0440556
+0.0458849
+0.0477447
+0.0496314
+0.0505679
+0.0508889
+0.0512997
+0.0870162
+0.0867388
+0.086516
+0.0863483
+0.0862359
+0.086179
+0.0861778
+0.0862323
+0.0863348
+0.0864894
+0.0866992
+0.0869637
+0.0872824
+0.0876546
+0.0880798
+0.0885572
+0.0886571
+0.0870912
+0.0855528
+0.0840433
+0.0825643
+0.0811175
+0.079704
+0.0783253
+0.0769842
+0.0756828
+0.0744231
+0.0732073
+0.0720376
+0.0709163
+0.0698419
+0.0688126
+0.0678386
+0.0669221
+0.0660656
+0.0652714
+0.0645417
+0.0632704
+0.0612929
+0.0593303
+0.0573843
+0.0554566
+0.0535491
+0.051664
+0.049804
+0.0479719
+0.046171
+0.0444052
+0.0426788
+0.0409968
+0.0393649
+0.0377895
+0.0362781
+0.0348345
+0.0334495
+0.0321542
+0.0309599
+0.0298787
+0.0289232
+0.0281024
+0.0274296
+0.0269012
+0.0265335
+0.0263434
+0.0263084
+0.0260447
+0.0257255
+0.0255593
+0.0255389
+0.0256794
+0.0257229
+0.0253942
+0.0252209
+0.0251579
+0.0252851
+0.0255691
+0.0260296
+0.0266628
+0.0270317
+0.0274173
+0.0279697
+0.0286791
+0.0295344
+0.0305232
+0.0316315
+0.0328435
+0.0341531
+0.0355497
+0.0370232
+0.038565
+0.0401671
+0.0418226
+0.0435254
+0.0452702
+0.0470523
+0.0488677
+0.0507127
+0.0522834
+0.052594
+0.0529859
+0.0888002
+0.0885284
+0.0883101
+0.0881458
+0.0880357
+0.08798
+0.0879788
+0.0880322
+0.0881395
+0.088291
+0.0884965
+0.0887557
+0.0890679
+0.0894328
+0.0898496
+0.0903176
+0.089466
+0.0879145
+0.0863907
+0.0848961
+0.0834323
+0.0820008
+0.0806028
+0.0792397
+0.0779144
+0.0766287
+0.0753849
+0.0741848
+0.0730308
+0.0719197
+0.070853
+0.0698387
+0.0688792
+0.0679767
+0.0671336
+0.0663522
+0.0656346
+0.064226
+0.0622788
+0.0603484
+0.0584363
+0.0565444
+0.0546749
+0.05283
+0.0510125
+0.0492254
+0.0474721
+0.0457566
+0.0440831
+0.0424568
+0.0408832
+0.0393686
+0.0379195
+0.0365201
+0.0352014
+0.033973
+0.0328449
+0.0318278
+0.0309299
+0.0301612
+0.0295336
+0.0290353
+0.0286949
+0.0285193
+0.0284859
+0.0281931
+0.0278984
+0.0277421
+0.0277233
+0.0278527
+0.0278751
+0.027572
+0.0274061
+0.027348
+0.0274651
+0.0277295
+0.0281547
+0.0287411
+0.0291296
+0.0294878
+0.030002
+0.0306645
+0.0314658
+0.0323958
+0.0334436
+0.0345946
+0.0358404
+0.0371736
+0.0385851
+0.0400668
+0.0416112
+0.0432114
+0.0448615
+0.0465563
+0.0482909
+0.0500614
+0.051864
+0.0536954
+0.0543338
+0.0547043
+0.090602
+0.0903357
+0.0901218
+0.0899608
+0.0898529
+0.0897983
+0.0897972
+0.0898494
+0.0899551
+0.0901081
+0.0903094
+0.0905634
+0.0908694
+0.0912271
+0.0916357
+0.0918384
+0.0903159
+0.0887792
+0.0872706
+0.0857913
+0.0843429
+0.0829272
+0.0815458
+0.0802004
+0.0788928
+0.077625
+0.0763974
+0.0752135
+0.0740689
+0.0729679
+0.0719167
+0.0709176
+0.0699728
+0.0690847
+0.0682553
+0.0674868
+0.0667814
+0.0652412
+0.0633253
+0.0614277
+0.0595503
+0.057695
+0.055864
+0.0540597
+0.0522849
+0.0505428
+0.0488369
+0.047171
+0.0455495
+0.0439775
+0.0424602
+0.041004
+0.0395944
+0.0382563
+0.0369996
+0.0358328
+0.0347651
+0.0338047
+0.0329577
+0.0322374
+0.0316427
+0.0311772
+0.0308605
+0.0306973
+0.0306652
+0.0303475
+0.0300739
+0.0299253
+0.0299079
+0.0300285
+0.0300328
+0.0297518
+0.029592
+0.0295383
+0.0296467
+0.0298943
+0.0302891
+0.0308349
+0.0312402
+0.0315744
+0.0320552
+0.0326761
+0.0334293
+0.034306
+0.0352971
+0.0363933
+0.0375796
+0.0388531
+0.0402058
+0.0416299
+0.0431182
+0.0446645
+0.0462628
+0.047908
+0.0495954
+0.0513209
+0.0530807
+0.0548715
+0.0560956
+0.0564554
+0.0924207
+0.0921596
+0.0919499
+0.0917921
+0.0916864
+0.0916329
+0.0916318
+0.091683
+0.0917865
+0.0919373
+0.0921347
+0.0923836
+0.0926836
+0.0930343
+0.093435
+0.0927531
+0.0912052
+0.0896838
+0.0881906
+0.086727
+0.0852945
+0.0838949
+0.0825296
+0.0812005
+0.0799094
+0.0786581
+0.0774485
+0.0762825
+0.075151
+0.074066
+0.0730306
+0.0720469
+0.0711172
+0.0702435
+0.069428
+0.0686726
+0.0679795
+0.0663133
+0.0644293
+0.0625652
+0.060723
+0.0589046
+0.0571123
+0.0553488
+0.0536167
+0.0519193
+0.0502601
+0.048643
+0.0470722
+0.0455527
+0.0440898
+0.0426715
+0.0413169
+0.0400364
+0.0388374
+0.0377275
+0.0367149
+0.0358038
+0.0350051
+0.0343277
+0.0337614
+0.0333255
+0.0330294
+0.0328769
+0.0328352
+0.0325067
+0.0322515
+0.032109
+0.0320928
+0.0322064
+0.032195
+0.031933
+0.0317786
+0.0317286
+0.0318296
+0.0320626
+0.0324311
+0.0329414
+0.0333517
+0.0336743
+0.0341255
+0.0347094
+0.0354193
+0.036248
+0.0371874
+0.0382294
+0.0393639
+0.0405815
+0.0418783
+0.0432474
+0.0446819
+0.0461758
+0.0477236
+0.0493201
+0.0509608
+0.0526415
+0.0543586
+0.0561086
+0.0578865
+0.0582363
+0.0942551
+0.0939991
+0.0937936
+0.0936389
+0.0935352
+0.0934828
+0.0934817
+0.093532
+0.0936334
+0.0937821
+0.0939756
+0.0942196
+0.0945138
+0.0948577
+0.0951116
+0.0936708
+0.092138
+0.0906323
+0.0891549
+0.0877074
+0.0862913
+0.084908
+0.0835593
+0.0822469
+0.0809724
+0.0797378
+0.0785449
+0.0773955
+0.0762806
+0.0752119
+0.0741925
+0.0732244
+0.0723098
+0.0714507
+0.0706491
+0.069907
+0.0692263
+0.0674395
+0.0655878
+0.0637577
+0.0619509
+0.0601696
+0.0584162
+0.0566932
+0.0550035
+0.0533503
+0.0517369
+0.0501674
+0.048646
+0.0471772
+0.045751
+0.0443823
+0.0430815
+0.041855
+0.0407096
+0.0396521
+0.0386887
+0.0378241
+0.0370689
+0.0364259
+0.0358887
+0.0354789
+0.035201
+0.035058
+0.0349968
+0.0346699
+0.0344307
+0.0342935
+0.0342783
+0.0343858
+0.0343608
+0.0341154
+0.0339657
+0.0339189
+0.0340134
+0.0342338
+0.0345791
+0.0350582
+0.0354719
+0.0357851
+0.03621
+0.0367608
+0.0374318
+0.0382169
+0.039109
+0.0401011
+0.0411859
+0.0423526
+0.0435968
+0.0449135
+0.0462964
+0.0477399
+0.0492385
+0.0507874
+0.0523821
+0.0540187
+0.0556933
+0.0574027
+0.0591438
+0.0600443
+0.0961045
+0.0958535
+0.0956519
+0.0955002
+0.0953986
+0.0953472
+0.0953461
+0.0953954
+0.0954949
+0.0956414
+0.0958311
+0.0960705
+0.096359
+0.0966964
+0.0960951
+0.09463
+0.093113
+0.0916233
+0.0901622
+0.0887312
+0.0873316
+0.0859651
+0.0846333
+0.0833377
+0.0820802
+0.0808625
+0.0796864
+0.0785537
+0.0774556
+0.0764034
+0.0754001
+0.0744478
+0.0735484
+0.0727039
+0.0719163
+0.0711874
+0.0704574
+0.0686172
+0.0667982
+0.0650021
+0.0632309
+0.0614867
+0.0597719
+0.0580892
+0.0564413
+0.0548314
+0.053263
+0.0517398
+0.0502659
+0.0488329
+0.0474519
+0.0461336
+0.0448836
+0.0437077
+0.0426121
+0.0416031
+0.0406837
+0.0398623
+0.0391465
+0.0385306
+0.0380232
+0.0376367
+0.0373748
+0.0372401
+0.0371619
+0.0368363
+0.0366113
+0.0364788
+0.0364645
+0.0365667
+0.0365295
+0.0362988
+0.0361533
+0.0361093
+0.0361981
+0.0364073
+0.0367322
+0.0371835
+0.0376002
+0.0379028
+0.0383063
+0.0388274
+0.0394633
+0.0402087
+0.0410576
+0.0420037
+0.0430406
+0.0441614
+0.0453561
+0.0466231
+0.0479567
+0.0493516
+0.0508027
+0.0523053
+0.0538551
+0.0554482
+0.0570809
+0.0587499
+0.0604522
+0.061877
+0.090489
+0.0890104
+0.0875617
+0.0861362
+0.0847407
+0.0833794
+0.082054
+0.0807662
+0.0794102
+0.0780159
+0.0766589
+0.0753411
+0.0740647
+0.072796
+0.0715258
+0.0702463
+0.0690009
+0.0678035
+0.0666565
+0.0655628
+0.0645248
+0.0634287
+0.0623743
+0.06138
+0.0604488
+0.059571
+0.0586387
+0.0576531
+0.056722
+0.0558457
+0.0550417
+0.0543141
+0.0536306
+0.0529772
+0.0522161
+0.0512078
+0.0502403
+0.0493486
+0.0485394
+0.0477981
+0.0471464
+0.0465888
+0.0461179
+0.045697
+0.045378
+0.0451581
+0.0450283
+0.0450049
+0.045088
+0.0452771
+0.0455586
+0.0459139
+0.0463508
+0.0468861
+0.0475165
+0.0482382
+0.0490403
+0.0499251
+0.050889
+0.0515986
+0.0508388
+0.0501633
+0.0495698
+0.0490538
+0.0486288
+0.0482602
+0.0479147
+0.0476674
+0.0475078
+0.0474415
+0.0474662
+0.0475823
+0.0475347
+0.0472269
+0.0470192
+0.046913
+0.0469067
+0.0469852
+0.0471654
+0.0474462
+0.0478258
+0.0483019
+0.0488716
+0.0495318
+0.0502788
+0.050824
+0.0511426
+0.0515524
+0.0520513
+0.0526367
+0.0533058
+0.0540554
+0.0548823
+0.055783
+0.056754
+0.0577918
+0.0588928
+0.0600536
+0.0612708
+0.062541
+0.0889956
+0.0874918
+0.0860175
+0.0845739
+0.0831529
+0.0817652
+0.0804132
+0.0790987
+0.0778237
+0.0764368
+0.0750512
+0.0737047
+0.0723994
+0.0711377
+0.0698531
+0.0685961
+0.0673202
+0.0660923
+0.0649151
+0.0637915
+0.0627243
+0.0616715
+0.0605866
+0.0595625
+0.0586024
+0.0577095
+0.056818
+0.0558344
+0.0548813
+0.0539799
+0.0531476
+0.0523937
+0.0517133
+0.0510354
+0.0504136
+0.0493683
+0.0483779
+0.0474512
+0.046609
+0.0458477
+0.0451679
+0.0445855
+0.0440932
+0.0436528
+0.0433189
+0.0430884
+0.0429524
+0.0429278
+0.043015
+0.0432131
+0.0435041
+0.0438687
+0.0443258
+0.0448853
+0.0455424
+0.046287
+0.0471217
+0.0480419
+0.0490428
+0.0495697
+0.0487784
+0.0480739
+0.0474602
+0.0469232
+0.046481
+0.046109
+0.0457578
+0.0454988
+0.0453332
+0.0452637
+0.045294
+0.0454154
+0.0454711
+0.0451493
+0.044932
+0.0448209
+0.0448167
+0.0449014
+0.04509
+0.0453836
+0.0457803
+0.0462774
+0.0468718
+0.0475597
+0.0483371
+0.0487068
+0.0490391
+0.0494664
+0.0499861
+0.0505954
+0.0512911
+0.0520698
+0.0529277
+0.0538611
+0.0548661
+0.055939
+0.0570757
+0.0582727
+0.0595263
+0.0608329
+0.0875304
+0.0860022
+0.0845018
+0.0830322
+0.0815931
+0.0801783
+0.0787991
+0.0774572
+0.0761548
+0.0748767
+0.0734698
+0.0720977
+0.0707628
+0.0694714
+0.0682098
+0.0669242
+0.0656688
+0.0644094
+0.0632009
+0.0620463
+0.0609485
+0.0599107
+0.0588262
+0.0577709
+0.0567805
+0.0558585
+0.0549926
+0.0540398
+0.0530627
+0.0521393
+0.0512772
+0.0504954
+0.0497978
+0.0491145
+0.0484932
+0.0475587
+0.0465441
+0.0455801
+0.0447027
+0.0439172
+0.0432099
+0.0426008
+0.0420853
+0.0416236
+0.0412732
+0.0410313
+0.0408884
+0.0408626
+0.0409541
+0.041162
+0.0414636
+0.0418381
+0.0423172
+0.0429004
+0.04358
+0.0443575
+0.0452279
+0.0461858
+0.047226
+0.0475552
+0.0467298
+0.0459939
+0.0453521
+0.0447984
+0.0443352
+0.0439555
+0.0436042
+0.0433323
+0.0431601
+0.0430871
+0.0431237
+0.0432469
+0.04342
+0.0430828
+0.0428551
+0.0427386
+0.0427342
+0.0428278
+0.0430255
+0.0433331
+0.0437484
+0.0442683
+0.0448893
+0.0456071
+0.04635
+0.0465963
+0.0469437
+0.0473898
+0.0479321
+0.0485671
+0.0492915
+0.0501012
+0.0509923
+0.0519605
+0.0530015
+0.0541114
+0.0552857
+0.0565206
+0.0578122
+0.0591567
+0.0859997
+0.084543
+0.0830164
+0.08152
+0.0800556
+0.0786205
+0.0772134
+0.0758436
+0.0745129
+0.0732236
+0.0719115
+0.0705135
+0.0691567
+0.0678348
+0.0665587
+0.0652807
+0.0640113
+0.0627579
+0.061517
+0.0603301
+0.0592005
+0.0581315
+0.0570955
+0.0560076
+0.0549855
+0.0540329
+0.0531399
+0.0522554
+0.0512647
+0.0503268
+0.049433
+0.0486216
+0.0478967
+0.0472171
+0.0465768
+0.0457824
+0.0447363
+0.0437387
+0.0428236
+0.042003
+0.0412753
+0.0406372
+0.0400964
+0.0396116
+0.0392433
+0.0389888
+0.0388383
+0.0388112
+0.0389075
+0.0391231
+0.0394289
+0.0398165
+0.0403195
+0.0409285
+0.0416403
+0.0424534
+0.043362
+0.0443602
+0.0454422
+0.0455537
+0.0446947
+0.0439247
+0.0432522
+0.0426803
+0.0421938
+0.041799
+0.0414546
+0.0411685
+0.040989
+0.0409121
+0.0409524
+0.0410808
+0.0412896
+0.0410293
+0.0407901
+0.0406677
+0.0406631
+0.0407616
+0.0409693
+0.0412922
+0.0417278
+0.0422726
+0.0429225
+0.0436726
+0.0442357
+0.0444937
+0.0448573
+0.045324
+0.0458907
+0.0465536
+0.0473088
+0.0481519
+0.0490783
+0.0500835
+0.0511628
+0.0523116
+0.0535255
+0.0548001
+0.0561313
+0.0575151
+0.0844976
+0.0830336
+0.0815627
+0.0800391
+0.0785471
+0.0770885
+0.075658
+0.0742594
+0.0728999
+0.0715815
+0.0703068
+0.068958
+0.0675699
+0.0662253
+0.0649227
+0.0636635
+0.062368
+0.0611165
+0.0598658
+0.0586455
+0.0574828
+0.0563813
+0.0553446
+0.0542756
+0.0532202
+0.0522354
+0.0513113
+0.050439
+0.0494984
+0.0485288
+0.0476163
+0.0467733
+0.0460193
+0.0453461
+0.044679
+0.0440434
+0.042955
+0.0419309
+0.0409755
+0.0401171
+0.0393547
+0.0386849
+0.0381293
+0.0376196
+0.0372315
+0.0369632
+0.0368045
+0.0367758
+0.0368775
+0.0371004
+0.0374053
+0.0378137
+0.038343
+0.03898
+0.0397268
+0.0405782
+0.0415278
+0.0425691
+0.0436955
+0.0435644
+0.042675
+0.0418679
+0.0411618
+0.0405618
+0.0400577
+0.0396443
+0.0393094
+0.0390076
+0.03882
+0.0387388
+0.0387814
+0.0389173
+0.0391399
+0.0389907
+0.038739
+0.03861
+0.0386052
+0.038709
+0.0389275
+0.0392673
+0.0397251
+0.040297
+0.0409782
+0.0417633
+0.0421291
+0.0423999
+0.0427814
+0.0432705
+0.0438636
+0.0445568
+0.0453452
+0.0462241
+0.0471884
+0.048233
+0.0493528
+0.0505428
+0.0517981
+0.0531142
+0.0544866
+0.0559111
+0.0829964
+0.0815367
+0.0800742
+0.0785915
+0.0770714
+0.0755843
+0.0741321
+0.0727068
+0.0713177
+0.0699695
+0.0686648
+0.0674061
+0.0660177
+0.0646408
+0.0633097
+0.0620275
+0.0607592
+0.0594739
+0.0582427
+0.0569954
+0.0557983
+0.0546629
+0.053593
+0.0525777
+0.0514875
+0.050469
+0.049512
+0.0486314
+0.0477501
+0.0467618
+0.0458298
+0.0449534
+0.0441684
+0.0434796
+0.0428092
+0.0422055
+0.0412131
+0.0401612
+0.0391627
+0.0382636
+0.0374628
+0.0367585
+0.0361734
+0.0356508
+0.0352411
+0.0349575
+0.0347896
+0.0347593
+0.0348669
+0.0350978
+0.0354017
+0.0358329
+0.0363891
+0.0370586
+0.0378433
+0.0387361
+0.0397298
+0.040817
+0.0419904
+0.0415884
+0.0406717
+0.0398254
+0.0390823
+0.0384499
+0.0379279
+0.0374937
+0.0371579
+0.0368503
+0.0366536
+0.0365676
+0.0366127
+0.0367572
+0.0369949
+0.0369696
+0.0367039
+0.0365678
+0.0365627
+0.0366723
+0.0369029
+0.0372611
+0.0377433
+0.0383448
+0.03906
+0.0398652
+0.0400316
+0.0403165
+0.0407175
+0.0412311
+0.0418531
+0.042579
+0.0434034
+0.0443208
+0.0453256
+0.0464122
+0.0475749
+0.0488082
+0.050107
+0.0514663
+0.0528815
+0.0543382
+0.0814779
+0.0800488
+0.0785819
+0.0771226
+0.0756304
+0.0741144
+0.0726328
+0.0711872
+0.0697683
+0.0683897
+0.0670542
+0.0657647
+0.0645025
+0.0630925
+0.0617281
+0.0604123
+0.0591484
+0.0578676
+0.0566015
+0.0553827
+0.05415
+0.0529793
+0.0518746
+0.0508405
+0.049791
+0.048737
+0.0477455
+0.0468317
+0.0459564
+0.045032
+0.044073
+0.0431679
+0.0423498
+0.041631
+0.0409713
+0.0403508
+0.039516
+0.0384242
+0.0373903
+0.0364476
+0.0356052
+0.0348635
+0.034246
+0.0337095
+0.0332759
+0.0329754
+0.0327974
+0.0327652
+0.0328793
+0.0331041
+0.0334215
+0.0338779
+0.0344624
+0.0351687
+0.0359946
+0.0369321
+0.037973
+0.0391091
+0.0403322
+0.0396334
+0.038679
+0.0377994
+0.0370157
+0.0363474
+0.0358008
+0.0353481
+0.0349959
+0.0346972
+0.0344902
+0.0343988
+0.0344468
+0.0346008
+0.0348557
+0.0349688
+0.0346878
+0.0345438
+0.0345384
+0.0346544
+0.0348983
+0.0352769
+0.0357858
+0.0364196
+0.0371719
+0.037769
+0.0379446
+0.0382451
+0.0386675
+0.0392079
+0.0398616
+0.0406231
+0.0414863
+0.0424452
+0.0434934
+0.0446246
+0.0458326
+0.0471116
+0.0484559
+0.0498603
+0.0513106
+0.0528043
+0.0799731
+0.0785345
+0.077113
+0.0756386
+0.0741689
+0.0726808
+0.0711693
+0.069694
+0.0682542
+0.0668443
+0.0654774
+0.0641561
+0.0628834
+0.0615833
+0.0601847
+0.0588344
+0.0575358
+0.0562926
+0.0549986
+0.0537541
+0.0525414
+0.051334
+0.0501931
+0.0491236
+0.0481145
+0.0470433
+0.0460154
+0.0450665
+0.0441986
+0.0433211
+0.0423467
+0.0414214
+0.040568
+0.0398171
+0.0391607
+0.0385201
+0.0378696
+0.0367288
+0.0356638
+0.0346743
+0.0337876
+0.033005
+0.0323521
+0.0318006
+0.0313406
+0.0310213
+0.030832
+0.0307978
+0.0309191
+0.031132
+0.0314693
+0.0319536
+0.0325692
+0.0333156
+0.0341863
+0.0351721
+0.0362635
+0.0374515
+0.038727
+0.0377044
+0.0366999
+0.0357928
+0.0349643
+0.0342559
+0.0336754
+0.0332084
+0.0328378
+0.032549
+0.0323306
+0.0322331
+0.0322842
+0.0324491
+0.0327232
+0.0329922
+0.0326942
+0.0325414
+0.0325356
+0.0326587
+0.0329175
+0.0333186
+0.0338569
+0.0345262
+0.0353188
+0.0356842
+0.03587
+0.0361877
+0.0366338
+0.0372038
+0.0378921
+0.0386923
+0.0395977
+0.0406012
+0.0416958
+0.0428744
+0.0441304
+0.0454573
+0.0468491
+0.0482919
+0.0497797
+0.051318
+0.0784862
+0.0770357
+0.0756034
+0.0741809
+0.0727082
+0.0712275
+0.069744
+0.0682379
+0.0667697
+0.0653358
+0.0639367
+0.0625829
+0.0612776
+0.0600238
+0.0586825
+0.0572968
+0.0559626
+0.0546836
+0.0534374
+0.0521557
+0.0509361
+0.0497307
+0.0485523
+0.0474457
+0.0464162
+0.0453921
+0.0443261
+0.0433403
+0.0424447
+0.0415673
+0.0406652
+0.0397164
+0.0388281
+0.0380428
+0.0373695
+0.0367284
+0.036117
+0.0350884
+0.0339768
+0.0329396
+0.0320137
+0.0311897
+0.0304979
+0.0299303
+0.0294411
+0.029101
+0.0288991
+0.0288626
+0.0289904
+0.029191
+0.0295505
+0.0300644
+0.0307156
+0.0315059
+0.0324252
+0.0334629
+0.0346083
+0.0358511
+0.0369646
+0.0358055
+0.0347461
+0.0337956
+0.0329307
+0.0321776
+0.0315589
+0.0310758
+0.0306843
+0.0304031
+0.0301746
+0.0300709
+0.0301257
+0.0303029
+0.030599
+0.0309644
+0.0307275
+0.0305648
+0.0305587
+0.0306897
+0.0309649
+0.031391
+0.0319618
+0.0326699
+0.0335065
+0.0336128
+0.03381
+0.0341469
+0.0346193
+0.035222
+0.0359482
+0.0367907
+0.0377418
+0.0387933
+0.0399375
+0.0411665
+0.042473
+0.0438501
+0.0452839
+0.0467648
+0.0482998
+0.0498837
+0.0770296
+0.0755548
+0.0741113
+0.0726861
+0.0712579
+0.0697922
+0.0682999
+0.0668218
+0.0653218
+0.0638617
+0.0624348
+0.0610477
+0.0597089
+0.0584215
+0.057189
+0.0558028
+0.054432
+0.0531162
+0.0518595
+0.0506017
+0.0493436
+0.0481524
+0.0469563
+0.0458112
+0.0447441
+0.0437297
+0.0426786
+0.0416541
+0.0407218
+0.0398567
+0.0389858
+0.0380448
+0.037136
+0.0363141
+0.0356045
+0.0349686
+0.0343514
+0.0334947
+0.0323483
+0.0312613
+0.0302841
+0.0294255
+0.0286913
+0.0280971
+0.0275754
+0.0272204
+0.0270056
+0.0269665
+0.0270749
+0.0272879
+0.0276721
+0.0282163
+0.0289091
+0.0297474
+0.0307194
+0.0318128
+0.0330155
+0.0343161
+0.0351574
+0.0339418
+0.0328223
+0.0318144
+0.0309187
+0.0301153
+0.0294533
+0.0289423
+0.0285348
+0.0282499
+0.028023
+0.0279132
+0.0279723
+0.0281636
+0.0284848
+0.0288745
+0.0287931
+0.0286194
+0.0286128
+0.0287527
+0.0290463
+0.0295001
+0.0301068
+0.0308575
+0.031499
+0.0315576
+0.0317675
+0.0321258
+0.0326275
+0.0332663
+0.0340343
+0.034923
+0.0359235
+0.0370267
+0.0382238
+0.0395062
+0.0408658
+0.0422889
+0.0437616
+0.0452923
+0.0468754
+0.0485059
+0.0756085
+0.0741053
+0.0726371
+0.0712017
+0.0697845
+0.0683502
+0.0668892
+0.0653881
+0.0639162
+0.0624232
+0.0609724
+0.0595536
+0.0581804
+0.0568584
+0.0555913
+0.0543561
+0.0529479
+0.0515942
+0.0502995
+0.0490686
+0.0477985
+0.0465678
+0.0454095
+0.0442248
+0.0431185
+0.0420972
+0.0410685
+0.0400063
+0.0390346
+0.0381642
+0.0372857
+0.0364219
+0.0354922
+0.0346377
+0.0338857
+0.0332448
+0.0326373
+0.0319676
+0.0307687
+0.0296498
+0.0286177
+0.0277203
+0.0269417
+0.0262946
+0.0257411
+0.0253605
+0.0251331
+0.0250859
+0.025198
+0.0254311
+0.0258429
+0.0264206
+0.0271592
+0.0280499
+0.0290787
+0.0302315
+0.0314947
+0.0328555
+0.0333736
+0.0321189
+0.030934
+0.0298624
+0.0289162
+0.0280724
+0.027361
+0.0268102
+0.0263885
+0.0260867
+0.0258685
+0.0257611
+0.025825
+0.0260328
+0.0263742
+0.0268007
+0.026898
+0.026712
+0.026705
+0.0268548
+0.0271689
+0.0276535
+0.0282999
+0.0290972
+0.0294592
+0.0295218
+0.0297461
+0.0301284
+0.0306629
+0.0313417
+0.0321557
+0.0330949
+0.034149
+0.0353077
+0.0365611
+0.0378998
+0.0393099
+0.0407725
+0.0422979
+0.0438797
+0.0455121
+0.0471896
+0.0742247
+0.072693
+0.0711956
+0.069735
+0.0683086
+0.0669004
+0.0654601
+0.0639882
+0.0624942
+0.0610295
+0.0595447
+0.0581034
+0.0566953
+0.0553379
+0.0540351
+0.0527912
+0.0515141
+0.0501218
+0.0487881
+0.047518
+0.0463056
+0.0450341
+0.0438352
+0.0426919
+0.0415448
+0.0404838
+0.0394603
+0.0384127
+0.0373997
+0.0364902
+0.0356342
+0.0347878
+0.0338956
+0.0330215
+0.0322241
+0.0315494
+0.0309777
+0.0303833
+0.0292634
+0.0281167
+0.0270262
+0.0260743
+0.025252
+0.0245539
+0.0239668
+0.0235556
+0.0233058
+0.0232549
+0.0233757
+0.0236315
+0.0240739
+0.0246887
+0.0254776
+0.0264251
+0.0275147
+0.0287303
+0.0300566
+0.0314713
+0.031641
+0.0303199
+0.0290881
+0.0279459
+0.0269337
+0.0260525
+0.0252854
+0.0246884
+0.0242498
+0.0239273
+0.0237084
+0.023616
+0.0236858
+0.0239129
+0.0242779
+0.0247471
+0.0250482
+0.0248483
+0.0248408
+0.0250048
+0.0253419
+0.0258607
+0.0265508
+0.027399
+0.0274426
+0.0275099
+0.0277504
+0.0281599
+0.028731
+0.0294543
+0.030319
+0.0313134
+0.0324255
+0.0336436
+0.0349567
+0.0363509
+0.0378009
+0.0393196
+0.0408993
+0.0425332
+0.0442152
+0.0459402
+0.0728569
+0.07132
+0.0697932
+0.0683026
+0.0668505
+0.0654343
+0.0640364
+0.0625899
+0.0611066
+0.0596208
+0.0581646
+0.0566894
+0.0552573
+0.0538636
+0.0525243
+0.0512437
+0.0500263
+0.0487034
+0.0473297
+0.0460194
+0.0447693
+0.0435565
+0.0423158
+0.0411544
+0.0400292
+0.0389269
+0.0379062
+0.036875
+0.0358241
+0.0348736
+0.0340377
+0.0331634
+0.0323203
+0.0314573
+0.0306291
+0.0299183
+0.0293126
+0.0287666
+0.0278491
+0.0266418
+0.0255236
+0.0245135
+0.0236379
+0.0228906
+0.0222646
+0.0218163
+0.0215463
+0.0214913
+0.021622
+0.0219034
+0.0223749
+0.0230351
+0.0238787
+0.0248871
+0.0260412
+0.0273224
+0.028704
+0.0301723
+0.0299013
+0.0285701
+0.0272763
+0.0260726
+0.0249846
+0.0240435
+0.023231
+0.0225796
+0.0221213
+0.0217741
+0.0215543
+0.0214756
+0.0215523
+0.021807
+0.0221987
+0.0227067
+0.0232567
+0.0230413
+0.0230332
+0.0232142
+0.0235769
+0.0241337
+0.0248717
+0.0255515
+0.0254549
+0.0255274
+0.0257864
+0.0262265
+0.0268388
+0.0276118
+0.0285324
+0.0295868
+0.0307614
+0.0320429
+0.0334167
+0.0348515
+0.0363613
+0.0379377
+0.0395726
+0.041259
+0.042991
+0.0447631
+0.0714369
+0.0699541
+0.0684321
+0.0669112
+0.0654283
+0.0639843
+0.0625767
+0.0611923
+0.0597424
+0.0582471
+0.0567711
+0.0553248
+0.0538566
+0.0524287
+0.0510548
+0.0497364
+0.0484812
+0.0472942
+0.0459296
+0.0445782
+0.0432863
+0.0420621
+0.0408557
+0.0396515
+0.0385344
+0.0374268
+0.0363799
+0.0353429
+0.0343162
+0.0333226
+0.0324468
+0.0316001
+0.0307784
+0.0299659
+0.0291064
+0.0283469
+0.0277181
+0.0272176
+0.0265151
+0.0252707
+0.0240992
+0.0230554
+0.0221231
+0.0213228
+0.0206494
+0.0201652
+0.0198728
+0.0198131
+0.0199548
+0.0202621
+0.0207683
+0.0214779
+0.0223803
+0.0234532
+0.0246744
+0.0260114
+0.0274489
+0.0286504
+0.0280848
+0.0268446
+0.0255058
+0.0242416
+0.0230789
+0.0220609
+0.0212007
+0.0204882
+0.0199881
+0.0196292
+0.0194085
+0.0193411
+0.0194263
+0.0197156
+0.0201369
+0.0206956
+0.0213658
+0.0213063
+0.0212975
+0.0214949
+0.021886
+0.0224848
+0.0232751
+0.023606
+0.0235033
+0.0235817
+0.0238619
+0.0243369
+0.0249955
+0.0258237
+0.0268057
+0.0279255
+0.029167
+0.0305144
+0.0319301
+0.0334284
+0.0349997
+0.0366347
+0.0383252
+0.0400642
+0.0418456
+0.0436643
+0.0700174
+0.0685441
+0.0670688
+0.0655635
+0.0640494
+0.0625736
+0.0611336
+0.0597392
+0.0583664
+0.0569211
+0.0554133
+0.0539488
+0.0525097
+0.0510442
+0.049632
+0.0482778
+0.0469836
+0.0457577
+0.0445851
+0.0431913
+0.0418655
+0.0405985
+0.0394126
+0.0382032
+0.0370425
+0.0359777
+0.0348917
+0.0338833
+0.0328632
+0.0318279
+0.0309097
+0.0301152
+0.029281
+0.0284577
+0.0276618
+0.0268623
+0.0261981
+0.0256719
+0.0252067
+0.0239911
+0.0227858
+0.0216938
+0.0207295
+0.0198731
+0.0191488
+0.0186257
+0.0183087
+0.0182439
+0.0183977
+0.0187305
+0.019277
+0.0200395
+0.0210038
+0.0221435
+0.0234192
+0.0248136
+0.0263167
+0.026665
+0.0260559
+0.0250868
+0.0237985
+0.0224508
+0.0212168
+0.0201168
+0.0191839
+0.0184197
+0.0178619
+0.0174938
+0.017274
+0.0171989
+0.0173163
+0.0176392
+0.0181055
+0.0187248
+0.0194492
+0.0196626
+0.0196531
+0.0198609
+0.0202836
+0.0209282
+0.0217751
+0.0217073
+0.0215975
+0.0216829
+0.0219873
+0.0225019
+0.0232126
+0.0241021
+0.0251515
+0.0263417
+0.0276541
+0.0290455
+0.0305281
+0.0320919
+0.0337256
+0.0354194
+0.0371653
+0.0389561
+0.0407859
+0.0426498
+0.0686383
+0.0671348
+0.0656699
+0.0642033
+0.0627168
+0.0612089
+0.0597359
+0.0583081
+0.0569288
+0.0555694
+0.0541102
+0.0526094
+0.0511583
+0.0497176
+0.0482667
+0.0468733
+0.0455421
+0.0442764
+0.0430849
+0.0418671
+0.0404983
+0.0392027
+0.0379732
+0.0368136
+0.0356228
+0.0345144
+0.0334808
+0.0324546
+0.0314478
+0.0304117
+0.0294494
+0.0286228
+0.0278291
+0.0270244
+0.0262809
+0.0254798
+0.0247785
+0.0242208
+0.0238064
+0.0228416
+0.0215894
+0.0204607
+0.0194416
+0.0185418
+0.0177921
+0.0172234
+0.0168801
+0.0168134
+0.016981
+0.017341
+0.0179299
+0.0187473
+0.0197747
+0.0209649
+0.0222976
+0.0237579
+0.0253237
+0.0247143
+0.0240554
+0.0234023
+0.0220157
+0.0207312
+0.0194094
+0.0182167
+0.017202
+0.0163767
+0.0157528
+0.0153663
+0.0151496
+0.0150649
+0.0152292
+0.0155934
+0.016112
+0.0167941
+0.0175949
+0.0181008
+0.0180905
+0.0183433
+0.0188002
+0.0194939
+0.0202092
+0.0198687
+0.019751
+0.0198443
+0.0201765
+0.020736
+0.0215052
+0.0224624
+0.0235849
+0.0248502
+0.0262096
+0.0276708
+0.0292233
+0.0308533
+0.0325491
+0.0343011
+0.0361011
+0.0379421
+0.0398186
+0.0417257
+0.0673023
+0.0657682
+0.0642722
+0.062817
+0.0613597
+0.0598801
+0.058387
+0.0569254
+0.0555117
+0.0541498
+0.0528046
+0.0513286
+0.0498403
+0.0483937
+0.0469639
+0.0455306
+0.0441596
+0.0428559
+0.0416237
+0.0404727
+0.0392056
+0.0378673
+0.0366085
+0.0354245
+0.0342724
+0.0331313
+0.0320864
+0.0310875
+0.0300655
+0.0290769
+0.0280842
+0.0272162
+0.0264674
+0.0256916
+0.0249083
+0.0241863
+0.0234443
+0.0228862
+0.0224923
+0.0218448
+0.0205421
+0.0193739
+0.0183193
+0.0173614
+0.0165598
+0.0159641
+0.0155988
+0.0155309
+0.0157113
+0.0161304
+0.0167619
+0.0176335
+0.0187027
+0.0199461
+0.0213426
+0.0228639
+0.0237012
+0.0228072
+0.022091
+0.0215327
+0.0203127
+0.0189533
+0.0176655
+0.0163844
+0.0152558
+0.0143468
+0.0136608
+0.0132582
+0.0130065
+0.0129389
+0.0131572
+0.0135913
+0.01416
+0.0149316
+0.0158269
+0.0166683
+0.0166571
+0.0169317
+0.0174662
+0.0182109
+0.0184579
+0.0180845
+0.0179723
+0.0180843
+0.0184482
+0.0190585
+0.0198927
+0.0209238
+0.0221245
+0.0234402
+0.0248711
+0.0264065
+0.0280291
+0.0297246
+0.0314814
+0.0332896
+0.0351414
+0.0370302
+0.0389506
+0.0408982
+0.0659519
+0.0644472
+0.0629198
+0.0614325
+0.0599884
+0.0585372
+0.0570684
+0.0555946
+0.0541462
+0.052749
+0.0514073
+0.0500717
+0.0485833
+0.047099
+0.0456711
+0.0442557
+0.0428439
+0.0414997
+0.0402288
+0.0390367
+0.0379338
+0.0366128
+0.0353122
+0.0340984
+0.0329699
+0.0318299
+0.0307502
+0.029783
+0.0287836
+0.0277945
+0.0268188
+0.0259186
+0.0251668
+0.0244179
+0.0236432
+0.0229911
+0.0222373
+0.0216482
+0.0212528
+0.0209881
+0.0196809
+0.0184583
+0.0173825
+0.0163901
+0.0155386
+0.0149024
+0.0145291
+0.014456
+0.0146541
+0.0150924
+0.0157765
+0.0167108
+0.0178244
+0.019125
+0.0205773
+0.0221513
+0.0219253
+0.0209556
+0.0201732
+0.0195599
+0.0186744
+0.0172261
+0.0159047
+0.0146124
+0.0133773
+0.0123549
+0.0116016
+0.0111336
+0.0108822
+0.0108372
+0.0111143
+0.011622
+0.0122888
+0.0131704
+0.0141774
+0.0151979
+0.0153998
+0.0156964
+0.016285
+0.0171123
+0.0167978
+0.0163867
+0.0162628
+0.0164232
+0.0168258
+0.0174931
+0.0183985
+0.019509
+0.0207639
+0.0221511
+0.0236601
+0.0252691
+0.0269603
+0.028719
+0.0305337
+0.0323948
+0.034295
+0.0362279
+0.0381878
+0.0401711
+0.0646038
+0.0631118
+0.0616145
+0.060096
+0.058619
+0.0571877
+0.0557439
+0.054288
+0.0528363
+0.0514035
+0.0500257
+0.0487074
+0.0473837
+0.0458711
+0.0444043
+0.0429989
+0.041602
+0.0402164
+0.0389048
+0.0376735
+0.0365294
+0.0354494
+0.0341044
+0.0328506
+0.0316926
+0.0306026
+0.0294997
+0.0285072
+0.0275972
+0.0265838
+0.0256649
+0.0247306
+0.0239416
+0.02327
+0.0225163
+0.0218435
+0.0211736
+0.0205695
+0.0201549
+0.0199222
+0.0189971
+0.017767
+0.0166466
+0.0156669
+0.0147737
+0.0141034
+0.0137081
+0.0136309
+0.0138425
+0.0143037
+0.0150237
+0.0160038
+0.0171634
+0.0185106
+0.0200074
+0.0214325
+0.0202309
+0.0191757
+0.0183167
+0.0176387
+0.0171462
+0.0155828
+0.0141446
+0.0128657
+0.0115744
+0.0104229
+0.00955489
+0.00902964
+0.00879063
+0.00877916
+0.00914015
+0.00974783
+0.0105413
+0.0115517
+0.0126546
+0.013756
+0.0143661
+0.0146837
+0.0153112
+0.015995
+0.0152712
+0.0148187
+0.0146816
+0.0148516
+0.0152965
+0.0160278
+0.0170117
+0.0182073
+0.0195439
+0.0210118
+0.0225971
+0.0242766
+0.0260323
+0.0278497
+0.0297175
+0.0316262
+0.0335683
+0.0355393
+0.0375347
+0.0395508
+0.0632928
+0.0617714
+0.0602913
+0.0588047
+0.0573007
+0.0558356
+0.0544194
+0.0529845
+0.0515438
+0.0501176
+0.0487034
+0.0473484
+0.0460577
+0.044717
+0.043211
+0.0417656
+0.0403873
+0.0390139
+0.0376604
+0.0363886
+0.0352054
+0.0341193
+0.032998
+0.0317005
+0.0305053
+0.0294167
+0.0283339
+0.0273151
+0.0264124
+0.0254873
+0.0245749
+0.0236637
+0.0228579
+0.0222189
+0.0215335
+0.0208545
+0.0202751
+0.0196596
+0.0192437
+0.0190256
+0.0185052
+0.0172841
+0.0161761
+0.0151891
+0.0142849
+0.013612
+0.0132032
+0.0131231
+0.0133428
+0.0138207
+0.0145646
+0.0155736
+0.016763
+0.0181399
+0.019665
+0.0199061
+0.0186212
+0.0174691
+0.0165264
+0.0157879
+0.0153121
+0.0140598
+0.0124943
+0.0110725
+0.00984977
+0.00857575
+0.00756896
+0.00696073
+0.00672439
+0.00675661
+0.00722
+0.00801106
+0.0089735
+0.0101466
+0.0113392
+0.0125283
+0.0135115
+0.0139019
+0.0145632
+0.0147059
+0.0139153
+0.0134263
+0.0132748
+0.0134534
+0.0139416
+0.0147403
+0.0158046
+0.0170848
+0.0185038
+0.020048
+0.0217037
+0.0234474
+0.0252608
+0.027128
+0.0290404
+0.0309897
+0.0329693
+0.0349741
+0.037
+0.0390437
+0.0620315
+0.0604784
+0.0589658
+0.0574969
+0.0560251
+0.054537
+0.0530871
+0.0516884
+0.0502646
+0.0488419
+0.0474456
+0.0460535
+0.0447255
+0.0434674
+0.0420979
+0.0406129
+0.0391942
+0.0378491
+0.0365053
+0.0351918
+0.0339688
+0.0328442
+0.0318142
+0.030659
+0.0294215
+0.0282984
+0.0272385
+0.0262353
+0.0252946
+0.0245089
+0.0235668
+0.0227376
+0.0219192
+0.0212565
+0.0206693
+0.0200375
+0.0195142
+0.018931
+0.0184996
+0.0182736
+0.0181562
+0.0170599
+0.0159715
+0.0149954
+0.0140788
+0.0133956
+0.0129828
+0.0129013
+0.0131804
+0.0136534
+0.014406
+0.0154353
+0.0166436
+0.0180296
+0.0195633
+0.0185135
+0.0171278
+0.0158753
+0.0148316
+0.0140352
+0.0134977
+0.0126994
+0.01098
+0.00941213
+0.00802001
+0.00685477
+0.00567602
+0.00492249
+0.0046839
+0.00482846
+0.00544052
+0.00646861
+0.00764471
+0.00897375
+0.0103063
+0.0115519
+0.0126372
+0.013353
+0.0141002
+0.0136197
+0.0127929
+0.0122657
+0.0120997
+0.0122889
+0.0128199
+0.0136843
+0.0148246
+0.0161825
+0.0176752
+0.0192858
+0.0210001
+0.0227953
+0.0246546
+0.0265644
+0.0285147
+0.0304976
+0.0325072
+0.0345388
+0.0365888
+0.0386542
+0.0608229
+0.0592381
+0.0576931
+0.0561909
+0.0547353
+0.0532807
+0.0518067
+0.0503792
+0.0490011
+0.047591
+0.0461899
+0.0448284
+0.0434629
+0.0421671
+0.0409445
+0.0395481
+0.0380897
+0.0367042
+0.0354001
+0.0340938
+0.03283
+0.0316674
+0.0306148
+0.0295683
+0.02846
+0.0272974
+0.026197
+0.0252393
+0.0243233
+0.0235051
+0.0227191
+0.0218994
+0.0211399
+0.0204565
+0.0199536
+0.0194203
+0.0188844
+0.0183708
+0.0179481
+0.0177593
+0.0176382
+0.0170625
+0.0160306
+0.0150824
+0.0142115
+0.013535
+0.0131265
+0.0130459
+0.0133182
+0.0137902
+0.0145357
+0.0155564
+0.0167759
+0.0181518
+0.0189165
+0.0172872
+0.0157943
+0.0144387
+0.0132826
+0.0124087
+0.0118118
+0.0112416
+0.00966448
+0.00791452
+0.00633427
+0.0049833
+0.00387304
+0.00294667
+0.00272675
+0.00310668
+0.00401168
+0.00531099
+0.00671244
+0.0081971
+0.00958051
+0.0107972
+0.0119851
+0.0129513
+0.013875
+0.0128107
+0.0119469
+0.0114048
+0.011226
+0.011429
+0.0119972
+0.0129167
+0.0141191
+0.0155388
+0.0170849
+0.0187435
+0.0205023
+0.0223376
+0.024232
+0.0261727
+0.0281501
+0.030157
+0.0321879
+0.0342384
+0.0363054
+0.0383861
+0.0595847
+0.058045
+0.0564766
+0.0549413
+0.0534516
+0.0520115
+0.0505771
+0.0491197
+0.0477178
+0.0463652
+0.0449719
+0.0435967
+0.0422762
+0.0409429
+0.0396858
+0.0384826
+0.0370819
+0.0356573
+0.0343134
+0.0330588
+0.0318014
+0.0305998
+0.0295122
+0.0285197
+0.0274885
+0.0264404
+0.0253028
+0.0243098
+0.0234797
+0.0226692
+0.0220081
+0.0211943
+0.0205205
+0.0198437
+0.0193773
+0.0189523
+0.0184796
+0.0180235
+0.0176181
+0.0174328
+0.0172911
+0.0172728
+0.0163518
+0.0154586
+0.014657
+0.0139947
+0.0136256
+0.013548
+0.0137891
+0.0142642
+0.0149879
+0.0159797
+0.0171692
+0.0185159
+0.0179869
+0.0162648
+0.0146682
+0.0132109
+0.0119364
+0.0109557
+0.0102725
+0.00991778
+0.00834364
+0.00664578
+0.00487423
+0.00325715
+0.00204725
+0.00109907
+0.00095511
+0.00172599
+0.00297416
+0.00455439
+0.00619738
+0.00733046
+0.00830451
+0.00963346
+0.011224
+0.0127485
+0.0133235
+0.0123074
+0.0114127
+0.010878
+0.0106907
+0.0109437
+0.0115374
+0.0124908
+0.0137224
+0.0151667
+0.016758
+0.0184461
+0.0202308
+0.0220886
+0.0240027
+0.0259605
+0.0279529
+0.029973
+0.0320156
+0.0340765
+0.0361528
+0.0382417
+0.0583311
+0.0568162
+0.0552912
+0.0537518
+0.0522282
+0.0507535
+0.0493319
+0.0479214
+0.0464839
+0.045107
+0.0437898
+0.0424174
+0.0410735
+0.0398017
+0.0385073
+0.0372948
+0.0360783
+0.0347172
+0.0333355
+0.0320425
+0.0308401
+0.0296559
+0.028532
+0.027532
+0.0265388
+0.0256155
+0.0245718
+0.023548
+0.0226901
+0.0219962
+0.0213091
+0.0206806
+0.0200139
+0.019426
+0.0189697
+0.0186587
+0.018296
+0.0178737
+0.0175316
+0.0173454
+0.017203
+0.0172218
+0.0168749
+0.0160791
+0.0153597
+0.0147411
+0.0143879
+0.0143144
+0.0145362
+0.0150169
+0.0157043
+0.0166535
+0.017817
+0.0191256
+0.0172721
+0.0154706
+0.0137823
+0.0122259
+0.0108686
+0.00977801
+0.00899358
+0.00856246
+0.00718007
+0.00550157
+0.00368558
+0.00189353
+0.000225702
+-0.00072881
+-0.000494046
+0.000844254
+0.0026189
+0.00442665
+0.00570766
+0.00629352
+0.00740182
+0.00886711
+0.0105736
+0.0121311
+0.0128591
+0.012109
+0.011247
+0.0107374
+0.0105476
+0.0108076
+0.0114208
+0.0123748
+0.0136111
+0.0150661
+0.016677
+0.0183727
+0.0201639
+0.0220274
+0.0239463
+0.0259084
+0.0279046
+0.0299279
+0.0319734
+0.0340366
+0.0361143
+0.0382047
+0.0570866
+0.0555862
+0.0540834
+0.0525759
+0.0510696
+0.0495604
+0.0481036
+0.0467032
+0.0453158
+0.0439085
+0.0425608
+0.041265
+0.0399137
+0.0386233
+0.0373895
+0.036137
+0.0349701
+0.0337565
+0.032476
+0.0311474
+0.029909
+0.0287843
+0.0276605
+0.0266272
+0.0256965
+0.0247815
+0.0239504
+0.0229706
+0.0220903
+0.0213989
+0.0208036
+0.0203134
+0.0196973
+0.0192405
+0.0187842
+0.0185452
+0.0182832
+0.0179532
+0.0176782
+0.0174936
+0.0173925
+0.0174112
+0.0175312
+0.0169522
+0.016308
+0.0157511
+0.0154153
+0.0153467
+0.0155563
+0.0160062
+0.0166528
+0.0175508
+0.0186584
+0.0187402
+0.016811
+0.014954
+0.0131998
+0.0115653
+0.0101203
+0.00893825
+0.00803695
+0.00745162
+0.00637882
+0.00461769
+0.00291052
+0.00105288
+-0.000796447
+-0.00242437
+-0.0012035
+0.00074164
+0.00277351
+0.00443616
+0.00522365
+0.00589481
+0.00708571
+0.00794892
+0.0091232
+0.0106244
+0.0123129
+0.0120678
+0.0114249
+0.0109545
+0.0108533
+0.0110948
+0.0116945
+0.0126354
+0.0138499
+0.0152822
+0.0168725
+0.0185503
+0.0203258
+0.0221757
+0.0240829
+0.0260347
+0.0280218
+0.0300373
+0.0320757
+0.0341328
+0.036205
+0.0382904
+0.0558488
+0.0543607
+0.0528784
+0.051392
+0.049905
+0.0484332
+0.0469454
+0.0455104
+0.0441263
+0.0427659
+0.0413821
+0.0400684
+0.0387981
+0.0374859
+0.0362391
+0.0350602
+0.0338562
+0.0327545
+0.0315681
+0.0303831
+0.0291134
+0.0279566
+0.02691
+0.0258741
+0.0249446
+0.0240478
+0.0232538
+0.0225188
+0.0216961
+0.0209917
+0.0204242
+0.0199573
+0.0195888
+0.0191337
+0.0187907
+0.0185803
+0.0184703
+0.0182965
+0.0180781
+0.0178691
+0.017851
+0.0178578
+0.0179626
+0.0179853
+0.0174221
+0.016982
+0.0166688
+0.0166054
+0.0168015
+0.0172188
+0.0178214
+0.0186633
+0.0194297
+0.0185161
+0.0166256
+0.0147453
+0.0129628
+0.0112961
+0.00981316
+0.00855603
+0.00749981
+0.00675961
+0.00582497
+0.00427737
+0.0026131
+0.000828322
+-0.000982636
+-0.00246284
+-0.00159615
+0.000443943
+0.00258668
+0.00334696
+0.00395456
+0.00473532
+0.00524008
+0.0062047
+0.00764825
+0.00932919
+0.0111834
+0.0123494
+0.0119571
+0.0115264
+0.011431
+0.0116945
+0.0123004
+0.013221
+0.0143974
+0.0157916
+0.0173446
+0.0189808
+0.0207194
+0.022537
+0.024416
+0.0263431
+0.0283086
+0.030305
+0.0323266
+0.0343687
+0.0364275
+0.0385008
+0.0546709
+0.0531498
+0.0516758
+0.0502143
+0.048749
+0.0472834
+0.0458353
+0.0443927
+0.0429841
+0.0416182
+0.0402882
+0.0389376
+0.037666
+0.0364201
+0.0351435
+0.0339518
+0.0328474
+0.0317142
+0.0306718
+0.0295427
+0.0284306
+0.0272617
+0.0261711
+0.0252241
+0.0243371
+0.0234656
+0.0226726
+0.0220378
+0.0214112
+0.0207801
+0.0201898
+0.0198113
+0.0195139
+0.0192726
+0.019003
+0.0187979
+0.0188299
+0.0188699
+0.0186891
+0.0184756
+0.0184879
+0.0184651
+0.0185661
+0.0188309
+0.0187194
+0.0183399
+0.0181015
+0.0180421
+0.0181993
+0.0185764
+0.0191676
+0.0195185
+0.0183927
+0.0174251
+0.0165564
+0.0148008
+0.013026
+0.0113702
+0.00990232
+0.00862819
+0.00740927
+0.00662578
+0.00511564
+0.00337083
+0.00176715
+0.00073509
+-0.000607169
+-0.00077035
+-6.72301e-05
+0.00142408
+0.000978537
+0.00129583
+0.00208725
+0.00293414
+0.00346053
+0.00471532
+0.00645382
+0.00837206
+0.0103984
+0.0124803
+0.0126272
+0.012449
+0.0123611
+0.0126365
+0.0132224
+0.0140958
+0.0152047
+0.0165309
+0.0180262
+0.0196199
+0.0213198
+0.0231014
+0.0249378
+0.0268275
+0.0287599
+0.030727
+0.0327225
+0.0347413
+0.0367793
+0.0388338
+0.0535567
+0.052003
+0.0504956
+0.0490292
+0.0476027
+0.0461626
+0.044721
+0.0433031
+0.0419135
+0.0405372
+0.0391946
+0.0378997
+0.0365921
+0.035372
+0.0341399
+0.0329259
+0.0318022
+0.0307698
+0.0297202
+0.0287712
+0.0277045
+0.0266958
+0.0255989
+0.0246299
+0.0238162
+0.0230507
+0.0222612
+0.0216465
+0.0212082
+0.0206542
+0.0201917
+0.0198272
+0.0195815
+0.0194437
+0.0194337
+0.0192499
+0.0192978
+0.0194992
+0.0194701
+0.019289
+0.0192784
+0.0193029
+0.0193995
+0.0196531
+0.0198527
+0.0198026
+0.0196211
+0.0195673
+0.0197192
+0.0200723
+0.0200566
+0.0187443
+0.017569
+0.0165527
+0.0156363
+0.0145527
+0.0128158
+0.0112346
+0.00984884
+0.00847156
+0.00717362
+0.00597605
+0.00442884
+0.00255358
+0.000729394
+-0.00101059
+-0.0017556
+0.000407525
+0.00162274
+0.00109508
+-0.000218093
+-4.92064e-05
+0.00109397
+0.0013789
+0.00209452
+0.00379054
+0.00575716
+0.00784345
+0.00997462
+0.012127
+0.0135492
+0.0134356
+0.0135451
+0.0138158
+0.014376
+0.0152124
+0.0162689
+0.0175147
+0.0189324
+0.0204557
+0.0220914
+0.0238164
+0.0256127
+0.0274664
+0.0293665
+0.031297
+0.0331737
+0.0348683
+0.0365283
+0.0382058
+0.0524668
+0.0509178
+0.0493843
+0.0478839
+0.0464383
+0.0450528
+0.0436419
+0.0422305
+0.0408453
+0.0395022
+0.0381796
+0.0368721
+0.0356207
+0.0343661
+0.0332088
+0.0319975
+0.0308603
+0.0298199
+0.0288756
+0.0279269
+0.0270305
+0.0260669
+0.0251831
+0.0241975
+0.0233761
+0.0227124
+0.0220522
+0.0214402
+0.0210307
+0.0206731
+0.0203126
+0.0200697
+0.0198738
+0.0197858
+0.0198222
+0.0199235
+0.0199698
+0.0202115
+0.0203875
+0.0202842
+0.0202741
+0.0203431
+0.0204348
+0.0206487
+0.020799
+0.021176
+0.0212462
+0.0212085
+0.0213559
+0.0209901
+0.019551
+0.0182023
+0.0169895
+0.0159322
+0.0149822
+0.0140635
+0.0125518
+0.0109195
+0.00949437
+0.00825401
+0.00688998
+0.00573685
+0.00409866
+0.00261931
+0.000889922
+-0.000491265
+-0.00080474
+0.000916934
+0.0016812
+0.00137386
+0.000428549
+0.000276475
+0.000968615
+0.00132688
+0.00207719
+0.00382203
+0.0057915
+0.00783627
+0.00992338
+0.0120473
+0.0141916
+0.0146695
+0.0148491
+0.0151743
+0.015715
+0.0164948
+0.0175042
+0.0186715
+0.0200078
+0.0214832
+0.0230461
+0.0247045
+0.0260942
+0.0275564
+0.0291012
+0.0307116
+0.0323048
+0.0339133
+0.0355812
+0.0372614
+0.0514244
+0.0498568
+0.0483238
+0.0468132
+0.0453334
+0.0439131
+0.0425582
+0.0411792
+0.0398254
+0.0384735
+0.0371621
+0.0359281
+0.0346548
+0.0334577
+0.0322842
+0.0311876
+0.0300224
+0.0289761
+0.0280359
+0.0271833
+0.0263212
+0.0255048
+0.0246765
+0.0239423
+0.0231119
+0.0224652
+0.0219564
+0.0214134
+0.021011
+0.0208247
+0.0205572
+0.0204278
+0.0203549
+0.0203128
+0.020413
+0.0206311
+0.020815
+0.0210881
+0.0213824
+0.0214387
+0.0214351
+0.0214325
+0.0215412
+0.0217441
+0.021924
+0.0222151
+0.0226576
+0.0229417
+0.0221667
+0.0206954
+0.0192825
+0.0179136
+0.0166798
+0.0155929
+0.0145983
+0.0135483
+0.0124776
+0.0110031
+0.00958859
+0.00815052
+0.00655008
+0.00498407
+0.00311001
+0.00134112
+-0.000170823
+-0.00101934
+9.12521e-05
+0.00100341
+0.000845562
+0.000718874
+0.000175786
+-0.000262559
+-0.00052231
+6.28306e-05
+0.000948401
+0.00305261
+0.00521761
+0.00739536
+0.00957902
+0.0117653
+0.0139529
+0.0160764
+0.0162625
+0.0166399
+0.0172029
+0.0179238
+0.0188613
+0.0196756
+0.0204808
+0.0214552
+0.0226006
+0.0238761
+0.0252769
+0.0267838
+0.028275
+0.0297788
+0.0313586
+0.0329283
+0.0345657
+0.0362615
+0.0503962
+0.0488454
+0.0473057
+0.0457921
+0.0443094
+0.0428552
+0.0414657
+0.0401478
+0.0388068
+0.037522
+0.0361995
+0.0349401
+0.0337759
+0.0325712
+0.031448
+0.0303761
+0.0293086
+0.0282497
+0.0272826
+0.026457
+0.0257257
+0.0249542
+0.0242222
+0.0235997
+0.0230374
+0.0223886
+0.0218952
+0.0215402
+0.0211675
+0.0209825
+0.0210018
+0.0208937
+0.0209962
+0.0210502
+0.0211723
+0.0214063
+0.0218216
+0.0221005
+0.0225439
+0.0227231
+0.0227197
+0.0226764
+0.0227819
+0.0229712
+0.0231172
+0.023338
+0.0237263
+0.0236289
+0.022106
+0.0206304
+0.0192152
+0.0178578
+0.0166373
+0.0155118
+0.014506
+0.0133101
+0.0121532
+0.0110135
+0.00973466
+0.00805931
+0.00642618
+0.00492042
+0.00306064
+0.00124844
+-0.000362013
+-0.0015355
+0.000344804
+0.00071624
+0.000372262
+-0.000264145
+-0.000404512
+-0.00101397
+-0.000399006
+-0.000227148
+0.00134584
+0.00324505
+0.0052521
+0.00727591
+0.00935362
+0.0114734
+0.0136144
+0.015764
+0.0177453
+0.0175344
+0.0175957
+0.0178431
+0.0182308
+0.018863
+0.0196742
+0.0206867
+0.0218723
+0.0231879
+0.0245284
+0.0258871
+0.0273206
+0.0287772
+0.0303223
+0.031943
+0.0336283
+0.0353691
+0.0494102
+0.047862
+0.04633
+0.0448236
+0.0433341
+0.0418852
+0.0404624
+0.0391107
+0.0378376
+0.0365431
+0.0353178
+0.0340557
+0.0328602
+0.0317617
+0.0306456
+0.0296086
+0.0286206
+0.0276137
+0.0266535
+0.0258437
+0.025162
+0.0245105
+0.0238251
+0.0232645
+0.0228269
+0.0224765
+0.0220525
+0.0217328
+0.0214693
+0.021365
+0.0214072
+0.0215379
+0.0216374
+0.0218714
+0.0221042
+0.02237
+0.0227677
+0.0232593
+0.0236869
+0.0240447
+0.0241273
+0.024048
+0.0241539
+0.0243145
+0.0243831
+0.0245547
+0.0248839
+0.0237357
+0.0222388
+0.0207953
+0.0193942
+0.0180503
+0.0168438
+0.015733
+0.0147173
+0.0133795
+0.0121286
+0.0107824
+0.0094712
+0.00842374
+0.00689296
+0.0051637
+0.00327681
+0.00169093
+0.000517333
+0.000247038
+0.00137497
+0.000863075
+-0.000229464
+-0.000909752
+-0.0011766
+-0.00141993
+-0.00133194
+-0.00105699
+0.000826833
+0.00286677
+0.00487445
+0.00697949
+0.00912494
+0.0112878
+0.0134583
+0.0156294
+0.0173605
+0.0171448
+0.0170666
+0.0171944
+0.0175947
+0.0182489
+0.0190863
+0.0201283
+0.0212029
+0.02235
+0.0236105
+0.0248993
+0.0263076
+0.0278174
+0.0294129
+0.0310811
+0.0327999
+0.0345692
+0.0484022
+0.0469031
+0.0453979
+0.0438892
+0.0424226
+0.040963
+0.0395552
+0.0381713
+0.0368657
+0.0356471
+0.0344097
+0.0332502
+0.0320645
+0.0309294
+0.0298994
+0.0288984
+0.0279377
+0.0270415
+0.0261577
+0.025332
+0.0246739
+0.0241607
+0.0235993
+0.0230599
+0.0226735
+0.0224586
+0.0222351
+0.0220448
+0.0219353
+0.0218421
+0.0219337
+0.022232
+0.0224569
+0.0226218
+0.0224052
+0.022334
+0.022458
+0.0227929
+0.0232798
+0.023951
+0.0240294
+0.0241033
+0.0243485
+0.0247717
+0.0253699
+0.0257745
+0.0255858
+0.0240424
+0.0225659
+0.0211453
+0.0198153
+0.018502
+0.0172175
+0.0159802
+0.0148802
+0.0137444
+0.0123188
+0.0108559
+0.00946056
+0.00810471
+0.00674856
+0.00525193
+0.00321538
+0.00135295
+-0.000203403
+-0.000778711
+0.00104382
+0.000232897
+-0.000346963
+-0.0011976
+-0.00133751
+-0.00179225
+-0.00177812
+-5.26829e-05
+0.00166295
+0.0032342
+0.00509716
+0.00708474
+0.0091654
+0.0112878
+0.0134321
+0.0155893
+0.0170854
+0.0167557
+0.0166772
+0.0168064
+0.0172157
+0.0178456
+0.0185255
+0.019359
+0.0203558
+0.0214375
+0.0226436
+0.0239844
+0.0254434
+0.0270014
+0.0286291
+0.0303238
+0.0320253
+0.0337665
+0.0474741
+0.0459446
+0.0444706
+0.0430158
+0.0415362
+0.0401173
+0.0386947
+0.0373369
+0.0360012
+0.0347522
+0.0335998
+0.0324323
+0.0313343
+0.0302208
+0.0291787
+0.0282549
+0.0273511
+0.0265157
+0.02574
+0.0249897
+0.0243354
+0.0238214
+0.0234521
+0.0230204
+0.0226761
+0.0224755
+0.0224564
+0.0223864
+0.0224274
+0.0225108
+0.0226027
+0.0222419
+0.021663
+0.0212705
+0.0210406
+0.020959
+0.0210912
+0.0214304
+0.0219576
+0.0226464
+0.0227251
+0.0228003
+0.0230536
+0.0235001
+0.024138
+0.024921
+0.0253852
+0.0240246
+0.0224563
+0.0208933
+0.0194363
+0.0180982
+0.0166953
+0.0154659
+0.0143949
+0.0131336
+0.0119758
+0.0107818
+0.00949331
+0.00822173
+0.00676313
+0.00537012
+0.00386758
+0.00222794
+0.000942828
+0.000488522
+0.00105795
+0.000336814
+-0.00111588
+-0.00153754
+-0.00205565
+-0.00211185
+-0.00233545
+-0.000735669
+0.000325057
+0.00239152
+0.00453104
+0.00668901
+0.00886306
+0.0110437
+0.0132276
+0.0154135
+0.0169799
+0.0166481
+0.0165265
+0.016577
+0.0167797
+0.0172099
+0.017821
+0.0185364
+0.0194733
+0.0205832
+0.0218316
+0.02322
+0.0247248
+0.0262937
+0.027877
+0.0295381
+0.0312568
+0.0330206
+0.0465864
+0.0450672
+0.0435635
+0.04212
+0.0407244
+0.0392867
+0.0379148
+0.0365462
+0.0352414
+0.0339752
+0.0327955
+0.0317235
+0.0306411
+0.0295989
+0.0285855
+0.0276651
+0.0268646
+0.0260368
+0.0253478
+0.024729
+0.0241397
+0.0236141
+0.0232814
+0.0230796
+0.0228255
+0.0226907
+0.0227026
+0.0228068
+0.022544
+0.0218756
+0.0213886
+0.0210773
+0.0204637
+0.020028
+0.0197789
+0.0196862
+0.0198131
+0.020146
+0.0207059
+0.021435
+0.021561
+0.0216403
+0.0219016
+0.0223712
+0.0230197
+0.0238316
+0.0248037
+0.0237624
+0.0221749
+0.0205904
+0.0191103
+0.0177776
+0.0163715
+0.0151158
+0.0140035
+0.0127983
+0.0115314
+0.0102792
+0.00902451
+0.00780084
+0.00656155
+0.00542925
+0.0042644
+0.00359671
+0.00290029
+0.00260483
+0.00146927
+0.000110947
+-0.0013435
+-0.00210246
+-0.00249161
+-0.00276599
+-0.0021972
+-0.000159317
+0.00171713
+0.00302629
+0.00493826
+0.00699217
+0.00909403
+0.0112299
+0.0133835
+0.0155475
+0.0170048
+0.0165475
+0.0161593
+0.0160631
+0.0162613
+0.0165855
+0.0170731
+0.0178185
+0.0187857
+0.0199062
+0.0211945
+0.0225844
+0.0240131
+0.02555
+0.0271759
+0.0288584
+0.0305355
+0.0322709
+0.0457501
+0.0442031
+0.0427124
+0.0412607
+0.0398542
+0.0385211
+0.0371382
+0.0358333
+0.0345254
+0.033281
+0.0321208
+0.0310254
+0.0300442
+0.0290204
+0.0280411
+0.027164
+0.026361
+0.0256689
+0.0250282
+0.0245028
+0.0240498
+0.0235852
+0.023222
+0.0230527
+0.0230265
+0.0230491
+0.0229598
+0.0219501
+0.0211154
+0.0204032
+0.0198859
+0.0195632
+0.0194117
+0.0189518
+0.0186387
+0.0185405
+0.018668
+0.0190209
+0.0196136
+0.0203876
+0.0205418
+0.0206065
+0.0208756
+0.0213507
+0.0220081
+0.0228515
+0.0238537
+0.0236405
+0.0221062
+0.0205027
+0.0190167
+0.0176779
+0.016298
+0.0149857
+0.0137631
+0.0125348
+0.0112382
+0.0100634
+0.00890391
+0.00766071
+0.00641332
+0.00518427
+0.00453727
+0.00413404
+0.00370936
+0.00326365
+0.0016134
+-0.000241367
+-0.00157568
+-0.00227232
+-0.00302214
+-0.00348024
+-0.00221761
+-0.00107454
+0.000895415
+0.0030205
+0.00519819
+0.00738348
+0.0095613
+0.0117438
+0.0138875
+0.0159834
+0.0169238
+0.0162876
+0.015893
+0.0157953
+0.0158481
+0.0160616
+0.0165646
+0.017332
+0.0183054
+0.0193794
+0.0205655
+0.021907
+0.0233772
+0.0249314
+0.0264911
+0.028135
+0.0298332
+0.0315673
+0.0449776
+0.0434315
+0.0419133
+0.0404569
+0.039068
+0.0377071
+0.0364192
+0.0350894
+0.0338474
+0.0326492
+0.0314793
+0.0304224
+0.0294754
+0.02855
+0.0276022
+0.0267281
+0.0260097
+0.0253315
+0.0248047
+0.0243391
+0.0239947
+0.0236614
+0.0233645
+0.0231962
+0.0232342
+0.0229535
+0.0217617
+0.0207075
+0.0198044
+0.0190624
+0.0185116
+0.0181645
+0.0180504
+0.0180272
+0.0176974
+0.0175707
+0.0176757
+0.018048
+0.0186716
+0.0194582
+0.0195964
+0.0196649
+0.0199467
+0.0204376
+0.0211234
+0.0220062
+0.0230451
+0.0235811
+0.022036
+0.0206067
+0.0190806
+0.0176947
+0.0163733
+0.0150675
+0.0138219
+0.0126508
+0.0113675
+0.0102509
+0.00914488
+0.00802868
+0.00680364
+0.0056513
+0.00503656
+0.00460345
+0.00427535
+0.00366361
+0.00156886
+-0.000347827
+-0.00206881
+-0.00282614
+-0.00307695
+-0.00355425
+-0.00144835
+0.00061268
+0.00140579
+0.00325011
+0.00531809
+0.00745543
+0.00961682
+0.011789
+0.013967
+0.0161484
+0.0168454
+0.0162275
+0.0158248
+0.0156081
+0.0155898
+0.0157778
+0.0162087
+0.0168826
+0.0177924
+0.0188242
+0.0200432
+0.0213919
+0.0227732
+0.0242739
+0.0258413
+0.0274352
+0.029095
+0.0308212
+0.044244
+0.0427076
+0.0412153
+0.0397334
+0.0383194
+0.0369809
+0.0356999
+0.0344534
+0.0332015
+0.0320384
+0.0309659
+0.0298909
+0.028942
+0.0280827
+0.0272523
+0.0264386
+0.0257121
+0.0251559
+0.0246509
+0.0242944
+0.0240326
+0.0238078
+0.0236753
+0.0235436
+0.0233413
+0.0219528
+0.0207034
+0.0195902
+0.0186499
+0.0178431
+0.0172599
+0.0169117
+0.0167638
+0.016901
+0.0169316
+0.0168006
+0.0169104
+0.0172992
+0.0179005
+0.0187148
+0.0188131
+0.0189035
+0.0191994
+0.0196855
+0.0203967
+0.0213102
+0.0224014
+0.0236458
+0.0221513
+0.0207315
+0.0193101
+0.0179419
+0.0166957
+0.0154173
+0.0142024
+0.0130742
+0.0118371
+0.0108444
+0.0097864
+0.00887908
+0.00778136
+0.0067657
+0.00625487
+0.00583146
+0.00554971
+0.00380392
+0.00181446
+-0.000107552
+-0.00223728
+-0.00328494
+-0.00357002
+-0.00319384
+-0.00113437
+0.000498715
+0.00254229
+0.00447993
+0.00618617
+0.00812778
+0.0101561
+0.0122329
+0.0143436
+0.0164753
+0.0170362
+0.0163217
+0.0156931
+0.0153541
+0.0152764
+0.0154745
+0.0159048
+0.016591
+0.0174631
+0.0184185
+0.0195681
+0.0208049
+0.0221208
+0.0235449
+0.0250798
+0.0267064
+0.0284088
+0.0301358
+0.0436083
+0.0420486
+0.0405474
+0.0391079
+0.0376822
+0.0363202
+0.0350293
+0.0338308
+0.0326636
+0.0314931
+0.0304351
+0.029465
+0.0285211
+0.0276647
+0.0269411
+0.0262257
+0.0255648
+0.0250053
+0.0246287
+0.0243293
+0.0241482
+0.0240746
+0.023991
+0.0240599
+0.0225715
+0.0211324
+0.0198314
+0.018664
+0.0176745
+0.0168128
+0.0161926
+0.0158216
+0.0156497
+0.0157373
+0.016037
+0.0162386
+0.0163522
+0.0167529
+0.0173696
+0.018141
+0.0180523
+0.018198
+0.0185831
+0.0191558
+0.0198858
+0.0208218
+0.0219373
+0.0232066
+0.0224805
+0.0210829
+0.0197808
+0.0184476
+0.0172901
+0.0160609
+0.0148987
+0.0138178
+0.0126641
+0.0117884
+0.0107797
+0.010077
+0.00918659
+0.00826498
+0.0078523
+0.00740223
+0.00555875
+0.00354254
+0.00147433
+-0.000429061
+-0.0025739
+-0.00338645
+-0.00372954
+-0.00259943
+-0.000517931
+0.00136486
+0.0029061
+0.00494603
+0.00707667
+0.00922684
+0.0110691
+0.0130198
+0.0150333
+0.0170791
+0.0171508
+0.0163166
+0.0156879
+0.0153488
+0.0152696
+0.0154451
+0.0157333
+0.0162613
+0.0170378
+0.017845
+0.0188666
+0.0200762
+0.0214352
+0.022902
+0.0244197
+0.0260312
+0.0277222
+0.0294791
+0.0430062
+0.0414741
+0.039973
+0.038512
+0.0371097
+0.0357817
+0.0344706
+0.033252
+0.0321367
+0.031067
+0.0299897
+0.0290247
+0.0281765
+0.0273912
+0.0266646
+0.026031
+0.0254933
+0.0250456
+0.0246696
+0.0244675
+0.0243231
+0.0242636
+0.0243936
+0.0235349
+0.0219612
+0.0205012
+0.0191714
+0.0179586
+0.0168782
+0.0159955
+0.0153474
+0.0149187
+0.0147041
+0.0147652
+0.0150549
+0.0156088
+0.0160707
+0.0163111
+0.01665
+0.0170738
+0.0171645
+0.0174967
+0.017987
+0.0186464
+0.0194573
+0.0204584
+0.0216357
+0.0229377
+0.0230078
+0.0216443
+0.0204247
+0.0191432
+0.0180304
+0.0169198
+0.0158569
+0.0148425
+0.0137826
+0.0129898
+0.0120871
+0.0115296
+0.0108024
+0.0100221
+0.00853243
+0.00675774
+0.00497104
+0.00285932
+0.000970615
+-0.000736951
+-0.00281131
+-0.00369106
+-0.00423365
+-0.00229747
+-0.000176122
+0.00141799
+0.003454
+0.00560713
+0.00771334
+0.00972192
+0.0117647
+0.0138528
+0.0159616
+0.0179153
+0.0174014
+0.0165437
+0.0158838
+0.0154647
+0.0151922
+0.015208
+0.0155006
+0.0158482
+0.0164337
+0.0172679
+0.0182943
+0.0194593
+0.0207905
+0.0222502
+0.023807
+0.0254539
+0.0271497
+0.0288776
+0.0424687
+0.040926
+0.0394342
+0.0380051
+0.0366125
+0.0352709
+0.0340101
+0.0328095
+0.0316787
+0.0306628
+0.0296501
+0.0287249
+0.0278884
+0.0271565
+0.0265339
+0.0259686
+0.0254662
+0.0251081
+0.0248914
+0.0246284
+0.0245254
+0.0246151
+0.0244527
+0.0229965
+0.0215409
+0.0200347
+0.0186567
+0.0174458
+0.0163335
+0.0154196
+0.0147454
+0.0142266
+0.0139839
+0.0140074
+0.0143125
+0.0149007
+0.0151698
+0.0154048
+0.0156637
+0.0161838
+0.0162794
+0.0166341
+0.0172378
+0.0180193
+0.0189827
+0.0200765
+0.0209152
+0.021392
+0.022061
+0.0223904
+0.0211955
+0.0200552
+0.0189944
+0.0179968
+0.0170414
+0.0160918
+0.0151037
+0.0143838
+0.0136219
+0.0131297
+0.0118887
+0.00993805
+0.00809257
+0.00640888
+0.00430308
+0.00231813
+0.000698957
+-0.00117838
+-0.00332749
+-0.00414226
+-0.00398656
+-0.00181823
+0.000181544
+0.00188827
+0.0038427
+0.00591003
+0.00800455
+0.0101119
+0.0122272
+0.0143097
+0.0163739
+0.0184673
+0.0175548
+0.016651
+0.0158749
+0.015299
+0.0150235
+0.0150649
+0.0151265
+0.0153706
+0.0159087
+0.0167114
+0.017736
+0.0189353
+0.0202841
+0.0217005
+0.0232375
+0.0248725
+0.0265728
+0.0283342
+0.0419632
+0.0404709
+0.0389709
+0.0375296
+0.0361625
+0.0348746
+0.0336148
+0.0324309
+0.0313313
+0.0303315
+0.0293868
+0.0284937
+0.0276997
+0.0270341
+0.0264524
+0.0259903
+0.0256197
+0.0252469
+0.0250559
+0.0249662
+0.0248795
+0.0249705
+0.0235292
+0.0220121
+0.0206164
+0.0193558
+0.0182657
+0.0170796
+0.0159924
+0.0151417
+0.0143101
+0.0137234
+0.0134717
+0.0134415
+0.0137357
+0.0138803
+0.0140693
+0.0145343
+0.0149291
+0.0154658
+0.0156055
+0.0159751
+0.0165548
+0.0173347
+0.0182577
+0.0183992
+0.0187608
+0.0192909
+0.0200242
+0.0209121
+0.0218874
+0.0211542
+0.0201098
+0.0192556
+0.0183812
+0.017513
+0.0166096
+0.0159579
+0.015317
+0.0135617
+0.011526
+0.00950112
+0.00756916
+0.00582337
+0.00426109
+0.00234908
+0.000295063
+-0.00177168
+-0.00384341
+-0.00442564
+-0.00366006
+-0.00177057
+0.000279554
+0.00223483
+0.00425212
+0.0063725
+0.00851345
+0.0105436
+0.012625
+0.0147114
+0.0168152
+0.0188723
+0.0177121
+0.0166589
+0.0158104
+0.0152321
+0.0149554
+0.0148199
+0.0147822
+0.0150318
+0.01558
+0.0163675
+0.0172919
+0.0184316
+0.0197474
+0.0211996
+0.0227689
+0.0243392
+0.0259994
+0.0277334
+0.0415169
+0.040037
+0.0385975
+0.0371716
+0.0357908
+0.034489
+0.0332806
+0.0321648
+0.0310567
+0.0300665
+0.0291521
+0.0283377
+0.027619
+0.0269757
+0.0264758
+0.0260829
+0.0257695
+0.0255451
+0.025377
+0.0253205
+0.0253717
+0.0243353
+0.0227018
+0.0211691
+0.0197466
+0.0184399
+0.0172776
+0.0163077
+0.0155472
+0.0149333
+0.0141003
+0.013518
+0.0132127
+0.013176
+0.0131765
+0.0130358
+0.0131975
+0.0136507
+0.0143989
+0.0149946
+0.0151684
+0.015468
+0.0160577
+0.0161035
+0.0160677
+0.0162262
+0.0166159
+0.0172121
+0.0180235
+0.0189537
+0.0200082
+0.0211841
+0.021389
+0.0205879
+0.0198363
+0.0190804
+0.0182503
+0.0163491
+0.0145296
+0.0128268
+0.0108562
+0.00898379
+0.00713102
+0.00504054
+0.0030636
+0.00143343
+-0.00045071
+-0.0025243
+-0.00432072
+-0.00500107
+-0.00342564
+-0.0014379
+0.000623693
+0.00263699
+0.00470658
+0.00681013
+0.00889459
+0.0110203
+0.0131397
+0.0152261
+0.0173382
+0.0190566
+0.0178221
+0.0167475
+0.0158797
+0.0151941
+0.0147918
+0.0145897
+0.0145158
+0.0147233
+0.0152306
+0.0160002
+0.0169446
+0.0180476
+0.0192839
+0.0206713
+0.0221738
+0.0237835
+0.0254727
+0.0272241
+0.0411082
+0.0396857
+0.0382592
+0.0368793
+0.0355502
+0.0342396
+0.0330221
+0.0319087
+0.0309036
+0.0299355
+0.0290725
+0.0282557
+0.0275666
+0.0270252
+0.0265728
+0.0262361
+0.0260045
+0.025893
+0.0258187
+0.0258359
+0.0254354
+0.0237009
+0.0220279
+0.0204448
+0.0189775
+0.0176339
+0.0164655
+0.0154598
+0.0146907
+0.0141364
+0.0137349
+0.013598
+0.0132297
+0.0131445
+0.0126567
+0.0124346
+0.01256
+0.0130055
+0.0136832
+0.0143202
+0.0139622
+0.0138847
+0.0141263
+0.0139172
+0.0138778
+0.0140587
+0.0144846
+0.0151649
+0.0160479
+0.0170332
+0.0181921
+0.0193966
+0.0199851
+0.0204622
+0.0194932
+0.0180775
+0.0168287
+0.0152833
+0.013507
+0.0116557
+0.0099433
+0.00827236
+0.00630957
+0.00432726
+0.00242208
+0.0008503
+-0.00103327
+-0.00309889
+-0.00476449
+-0.0050894
+-0.00302736
+-0.00104227
+0.000956025
+0.00288607
+0.00490644
+0.00702675
+0.00918016
+0.0113478
+0.0134991
+0.0156127
+0.017745
+0.0193154
+0.0180501
+0.0169134
+0.0159428
+0.0151873
+0.0146063
+0.0143178
+0.0142425
+0.014499
+0.0149671
+0.015596
+0.0164765
+0.0175508
+0.0188198
+0.0202467
+0.0217733
+0.0233916
+0.0250971
+0.0268729
+0.0406526
+0.0392915
+0.0379877
+0.0366414
+0.0353355
+0.034098
+0.0328983
+0.0317806
+0.0307785
+0.0298557
+0.0290661
+0.0283201
+0.0276317
+0.0270916
+0.0267208
+0.0264716
+0.0263166
+0.0262559
+0.0262991
+0.0264216
+0.0249913
+0.0232236
+0.0215338
+0.0199044
+0.0183908
+0.0170252
+0.0158364
+0.0148226
+0.0140267
+0.0134481
+0.0130317
+0.0129076
+0.0128076
+0.0125508
+0.012368
+0.0120966
+0.0121726
+0.0125213
+0.0130519
+0.0124102
+0.0120052
+0.0119152
+0.0120642
+0.0117326
+0.0116881
+0.0118997
+0.0123742
+0.01315
+0.0141019
+0.0151855
+0.0163845
+0.0176789
+0.0180282
+0.0185057
+0.0180562
+0.0165178
+0.0151409
+0.0139733
+0.0122746
+0.0105103
+0.008837
+0.00698911
+0.00539124
+0.00358201
+0.00174722
+0.000156544
+-0.00182535
+-0.00382658
+-0.00496987
+-0.00466283
+-0.0026681
+-0.000549123
+0.00152923
+0.00338477
+0.0054094
+0.0075117
+0.00965339
+0.0117715
+0.0138518
+0.0159518
+0.0180672
+0.0194035
+0.0180565
+0.0168701
+0.0158582
+0.0150984
+0.0145287
+0.014242
+0.0141663
+0.0143543
+0.0146855
+0.0152752
+0.0161335
+0.0172142
+0.018486
+0.0199036
+0.0214394
+0.023022
+0.0246777
+0.0264114
+0.0402976
+0.0389338
+0.0376423
+0.0364325
+0.0351876
+0.0339919
+0.0328451
+0.0317545
+0.0307515
+0.0298757
+0.0291014
+0.028439
+0.027835
+0.027333
+0.0269665
+0.0267737
+0.0266706
+0.026674
+0.0268163
+0.0265434
+0.0247
+0.0229178
+0.0212093
+0.0195619
+0.0180295
+0.0166449
+0.0154305
+0.0144012
+0.0135854
+0.0129691
+0.0125988
+0.0124211
+0.012155
+0.011952
+0.0120494
+0.0120278
+0.011997
+0.0121254
+0.0113958
+0.0106081
+0.0100393
+0.00991688
+0.00994428
+0.0095507
+0.0094986
+0.00975481
+0.0102973
+0.0111646
+0.0122145
+0.0133935
+0.0146564
+0.0157402
+0.0161314
+0.0165844
+0.0167828
+0.0151155
+0.0135973
+0.0122839
+0.0110079
+0.00932454
+0.00753238
+0.0059174
+0.00421974
+0.00274342
+0.0012358
+-0.000757264
+-0.00276382
+-0.00470232
+-0.0053446
+-0.00422734
+-0.0022453
+-0.000242667
+0.00183532
+0.00378656
+0.00581808
+0.00787568
+0.00999003
+0.0121315
+0.0142879
+0.0164484
+0.0185792
+0.0195672
+0.0182229
+0.0170135
+0.0160106
+0.0152313
+0.0145775
+0.0142242
+0.0141464
+0.0141658
+0.0145013
+0.0150982
+0.0159466
+0.0169317
+0.0181255
+0.0194812
+0.0209785
+0.0225785
+0.0242645
+0.0260258
+0.0399268
+0.0386759
+0.0373788
+0.0361664
+0.0350441
+0.0339523
+0.032863
+0.0318025
+0.0308613
+0.0299998
+0.0292338
+0.0285911
+0.0280175
+0.0275858
+0.0273117
+0.0271283
+0.0270801
+0.0272
+0.0273489
+0.026448
+0.0245974
+0.0228072
+0.0210905
+0.0194336
+0.0178901
+0.0164939
+0.0152796
+0.0142398
+0.0134206
+0.0127727
+0.0123965
+0.0122162
+0.0118672
+0.0116646
+0.0117961
+0.0120649
+0.0119024
+0.0108127
+0.00965595
+0.00880498
+0.00815494
+0.0080032
+0.00786324
+0.00737407
+0.00730936
+0.00761417
+0.00827322
+0.00922912
+0.0103914
+0.0116545
+0.0130591
+0.0138188
+0.0142629
+0.0147329
+0.0152772
+0.0138641
+0.0122525
+0.0107764
+0.0095671
+0.00809206
+0.00648933
+0.00467363
+0.00319012
+0.00197025
+0.000354367
+-0.00160455
+-0.00355366
+-0.00548663
+-0.00595682
+-0.00415442
+-0.00205768
+-1.86333e-05
+0.00196905
+0.00401147
+0.00613144
+0.00828179
+0.0103616
+0.0124381
+0.014548
+0.0166788
+0.0188234
+0.0199057
+0.0185684
+0.0173305
+0.0162331
+0.0153713
+0.0146376
+0.0141652
+0.0139689
+0.0140736
+0.0143724
+0.0149185
+0.0156444
+0.0166292
+0.0178301
+0.0192066
+0.0207237
+0.0223063
+0.0239728
+0.0256935
+0.0395892
+0.0383273
+0.0371518
+0.0360235
+0.034892
+0.0338333
+0.032882
+0.0319538
+0.0310186
+0.0302136
+0.0294989
+0.0288865
+0.0283618
+0.0279354
+0.0276763
+0.0275566
+0.0275765
+0.0277006
+0.0279651
+0.0265337
+0.024689
+0.0229022
+0.0211703
+0.0195177
+0.0179805
+0.0165908
+0.0153824
+0.0143499
+0.0135889
+0.012949
+0.0125783
+0.0124007
+0.0119687
+0.0117706
+0.0118767
+0.0120959
+0.0108627
+0.00938473
+0.00807877
+0.00701031
+0.00627109
+0.0060498
+0.00578399
+0.00520624
+0.00512077
+0.0054851
+0.00628696
+0.0073804
+0.0086828
+0.0100607
+0.0116332
+0.0119309
+0.0124425
+0.0129869
+0.0136916
+0.0124713
+0.0110417
+0.00950346
+0.00810513
+0.00696937
+0.00537079
+0.00380836
+0.00239091
+0.000832515
+-0.000950917
+-0.00266105
+-0.00452383
+-0.00612035
+-0.00585914
+-0.00405413
+-0.00200245
+5.21012e-05
+0.00210058
+0.00423885
+0.00641073
+0.00855159
+0.010664
+0.0128028
+0.0149566
+0.0171197
+0.0192354
+0.0202584
+0.0188609
+0.0175981
+0.0164898
+0.0154632
+0.0146937
+0.0141924
+0.0139843
+0.0140286
+0.0142375
+0.0147548
+0.0154626
+0.016434
+0.017595
+0.0189234
+0.0203967
+0.0219898
+0.0236785
+0.0254191
+0.0393544
+0.0380994
+0.0369166
+0.0358289
+0.0348382
+0.0338203
+0.0328708
+0.0320202
+0.0312939
+0.0305076
+0.029827
+0.0292256
+0.0287746
+0.0284498
+0.0281955
+0.0280977
+0.0281303
+0.0283197
+0.0286204
+0.0267668
+0.0249365
+0.0231688
+0.0214592
+0.0198307
+0.0183198
+0.0169579
+0.0157724
+0.0147717
+0.0139931
+0.0134246
+0.0130473
+0.0128864
+0.0123966
+0.0122054
+0.0122331
+0.0114157
+0.00973628
+0.00815956
+0.00672167
+0.00541371
+0.00439812
+0.00401032
+0.00374792
+0.00306008
+0.00293427
+0.00342964
+0.00436909
+0.00564739
+0.00712059
+0.00867846
+0.00990908
+0.0101653
+0.0107611
+0.0113453
+0.0121557
+0.0112135
+0.00984194
+0.0084129
+0.00699227
+0.0057451
+0.00452662
+0.00313947
+0.0013395
+-0.000422372
+-0.00211681
+-0.00389138
+-0.0057022
+-0.00714458
+-0.00580587
+-0.00380822
+-0.00194764
+0.000101784
+0.00226393
+0.00444144
+0.00662763
+0.00881606
+0.0110054
+0.0131952
+0.0153852
+0.0175279
+0.0196522
+0.0206218
+0.0191837
+0.017881
+0.0166921
+0.0156197
+0.014785
+0.0141872
+0.0139124
+0.0139037
+0.0141405
+0.0146041
+0.0153188
+0.0162989
+0.0174682
+0.0187817
+0.0202193
+0.0217828
+0.0234469
+0.0251705
+0.0392206
+0.0379722
+0.0368105
+0.0357196
+0.0347327
+0.0338519
+0.0329581
+0.0321298
+0.031406
+0.0308213
+0.0302252
+0.0297138
+0.0292703
+0.028986
+0.0288477
+0.0287721
+0.0288234
+0.029025
+0.0290271
+0.0271724
+0.0253714
+0.0236363
+0.0219629
+0.0203747
+0.018893
+0.0175524
+0.0163959
+0.0154371
+0.0146912
+0.0141278
+0.0138256
+0.0136328
+0.0131733
+0.0129771
+0.0123093
+0.0105242
+0.00885278
+0.00712945
+0.00548388
+0.00401396
+0.00271252
+0.00201857
+0.001897
+0.00096471
+0.000764934
+0.00143396
+0.00264756
+0.00420806
+0.00581692
+0.00760978
+0.00836346
+0.00857923
+0.00913378
+0.00973707
+0.0104637
+0.00985856
+0.00872169
+0.00752993
+0.00617169
+0.00506702
+0.00348019
+0.00167537
+4.82453e-05
+-0.00164559
+-0.00348889
+-0.00517476
+-0.00689492
+-0.00679521
+-0.00502085
+-0.00334179
+-0.00134545
+0.000783623
+0.00286929
+0.004863
+0.00697587
+0.00910479
+0.011238
+0.0133898
+0.0155525
+0.017722
+0.0198962
+0.0207955
+0.0193404
+0.0180253
+0.0168483
+0.015774
+0.0148699
+0.0142428
+0.0139303
+0.0139268
+0.0141751
+0.0145445
+0.0152012
+0.016131
+0.0172631
+0.0185723
+0.020025
+0.0215952
+0.0232301
+0.0249362
+0.0391923
+0.0379471
+0.0367859
+0.0357119
+0.0347247
+0.0338508
+0.033099
+0.0323617
+0.0316696
+0.0310898
+0.030656
+0.0302262
+0.0298527
+0.0296262
+0.0295085
+0.0295276
+0.0296435
+0.0298545
+0.0295644
+0.0277456
+0.0259834
+0.0242658
+0.0226272
+0.021089
+0.0196613
+0.0183768
+0.0172755
+0.0163655
+0.0156221
+0.0150807
+0.0148191
+0.0146217
+0.0141771
+0.0137338
+0.0117661
+0.00988351
+0.00814775
+0.00637412
+0.00456282
+0.00277356
+0.00117582
+0.000139413
+-0.000189119
+-0.00100267
+-0.0013246
+-0.000242137
+0.00143628
+0.00319293
+0.00501381
+0.0065063
+0.00667896
+0.00717509
+0.00764206
+0.00832629
+0.00877006
+0.00803351
+0.0073628
+0.00674404
+0.00559235
+0.00422719
+0.00235894
+0.000591123
+-0.00139044
+-0.00304263
+-0.00468639
+-0.00651371
+-0.00757461
+-0.0060488
+-0.00415136
+-0.00249848
+-0.00070058
+0.00134011
+0.00326983
+0.00532774
+0.00745202
+0.00960618
+0.0117738
+0.0138803
+0.0160022
+0.018134
+0.020264
+0.0210175
+0.0195447
+0.0182168
+0.0170539
+0.0159474
+0.0150799
+0.0144607
+0.014127
+0.0140869
+0.0141632
+0.0145097
+0.0151205
+0.015997
+0.0170879
+0.0183676
+0.0197961
+0.0213541
+0.0230154
+0.0247418
+0.0392662
+0.0380425
+0.0368903
+0.0358189
+0.0348349
+0.0339638
+0.0332146
+0.03258
+0.0320197
+0.0315088
+0.0310808
+0.030803
+0.0305025
+0.0302912
+0.0302355
+0.0303097
+0.0304942
+0.0307597
+0.0302511
+0.0284696
+0.0267298
+0.0250609
+0.0234778
+0.0219992
+0.0206345
+0.0194145
+0.0183495
+0.0174864
+0.0167755
+0.0162745
+0.0160304
+0.0158493
+0.0154214
+0.0135486
+0.0115542
+0.00964202
+0.00783012
+0.00581103
+0.00382965
+0.00200786
+0.000194245
+-0.00151507
+-0.0023073
+-0.00273541
+-0.00281318
+-0.000979995
+0.000903344
+0.00277611
+0.00465979
+0.00482143
+0.00508937
+0.0055486
+0.00620415
+0.00707228
+0.0073273
+0.00643542
+0.0055819
+0.00522888
+0.00489332
+0.00371435
+0.00156452
+-0.00053267
+-0.00239338
+-0.00425418
+-0.00603164
+-0.00775858
+-0.00665468
+-0.00496551
+-0.00334382
+-0.00146398
+0.000186389
+0.00183859
+0.0036981
+0.00578902
+0.0079288
+0.0100819
+0.0122474
+0.0143506
+0.0164767
+0.0186178
+0.0207692
+0.0213355
+0.0198862
+0.0185827
+0.0174517
+0.0163955
+0.0154654
+0.0147687
+0.0143527
+0.0141442
+0.0141435
+0.0144263
+0.0150265
+0.0159082
+0.0169993
+0.0182727
+0.0197081
+0.0212725
+0.0229337
+0.0246507
+0.0394119
+0.0382358
+0.0371075
+0.036059
+0.0350817
+0.0342169
+0.0334733
+0.0328438
+0.0323325
+0.0319529
+0.031583
+0.0313393
+0.0312175
+0.0310618
+0.0310095
+0.0311043
+0.03133
+0.0317058
+0.031064
+0.0293144
+0.0276279
+0.0260166
+0.0244954
+0.0230821
+0.0217853
+0.02061
+0.019608
+0.0187813
+0.0181213
+0.0176604
+0.0174338
+0.0172565
+0.0157318
+0.013705
+0.0117373
+0.00981257
+0.00782757
+0.00577118
+0.00371694
+0.00169783
+-0.000330929
+-0.00223565
+-0.00381614
+-0.00415528
+-0.00217815
+-0.000413858
+0.00128396
+0.00301316
+0.00354327
+0.00347923
+0.00364337
+0.00416204
+0.00489776
+0.00578155
+0.00627603
+0.00520488
+0.00415506
+0.00363145
+0.00279115
+0.00279045
+0.000940116
+-0.0010293
+-0.00301887
+-0.00503573
+-0.00715306
+-0.00801715
+-0.00599664
+-0.0040885
+-0.00240714
+-0.000836444
+0.00104401
+0.00308164
+0.00484422
+0.00658367
+0.0085263
+0.0105583
+0.0126434
+0.0147591
+0.0168939
+0.0190414
+0.0211978
+0.0218143
+0.0203102
+0.0189381
+0.0177005
+0.0165812
+0.0156895
+0.0150114
+0.0144745
+0.0142124
+0.0141961
+0.0144779
+0.015076
+0.0159317
+0.0170047
+0.0182714
+0.0196653
+0.0211812
+0.022807
+0.0245208
+0.0395684
+0.0384464
+0.0373602
+0.0363704
+0.0354549
+0.0345994
+0.0338642
+0.0332502
+0.0327452
+0.0323809
+0.0321591
+0.0319397
+0.0318498
+0.0318638
+0.0319002
+0.0320027
+0.032222
+0.0325874
+0.0319904
+0.0302944
+0.0286656
+0.027116
+0.0256601
+0.0243146
+0.0230656
+0.0219573
+0.0210196
+0.0202289
+0.0196059
+0.019192
+0.0189868
+0.0181489
+0.0161378
+0.01418
+0.0122199
+0.0102236
+0.00827846
+0.00627796
+0.00427204
+0.00245955
+0.00074162
+-0.000737531
+-0.00209313
+-0.00352965
+-0.00239936
+-0.000790226
+0.000544196
+0.00215468
+0.00263762
+0.00244234
+0.00252711
+0.00309122
+0.00383543
+0.00488028
+0.00520942
+0.0046021
+0.00340909
+0.00217013
+0.000915766
+0.000817379
+-0.000174256
+-0.00190896
+-0.00389527
+-0.00586641
+-0.00780703
+-0.00747374
+-0.00539105
+-0.00340652
+-0.00156289
+0.000360177
+0.00173434
+0.00340315
+0.00534061
+0.00708783
+0.00892936
+0.0109008
+0.012943
+0.015027
+0.0171208
+0.0192107
+0.0212889
+0.022226
+0.0207656
+0.0194164
+0.0181391
+0.0170245
+0.0160997
+0.0153201
+0.0147516
+0.0144374
+0.0143923
+0.0146703
+0.0152296
+0.0160424
+0.0170877
+0.0182951
+0.0196731
+0.0211364
+0.0226955
+0.0243483
+0.0398172
+0.038718
+0.0376975
+0.0367168
+0.0358377
+0.0350693
+0.0343713
+0.0337735
+0.033294
+0.0329388
+0.0327191
+0.0326018
+0.0325557
+0.0325866
+0.0327512
+0.0329327
+0.0332331
+0.0335875
+0.0330363
+0.0313969
+0.0298284
+0.0283424
+0.0269528
+0.0256452
+0.0244577
+0.0234154
+0.0225385
+0.0217758
+0.0211983
+0.020805
+0.0206246
+0.0187345
+0.0167727
+0.0148446
+0.0128821
+0.0109797
+0.00910648
+0.00721082
+0.00547691
+0.00381278
+0.00234515
+0.000966464
+-0.000505444
+-0.00182744
+-0.00236396
+-0.00136952
+-0.000264422
+0.00156971
+0.00238846
+0.00198272
+0.00189676
+0.00235825
+0.00321517
+0.00442764
+0.00421346
+0.00360185
+0.00294405
+0.00162709
+-6.73984e-05
+-0.00133621
+-0.00187357
+-0.00319048
+-0.00489174
+-0.00676099
+-0.00876471
+-0.00678402
+-0.00470673
+-0.00264403
+-0.00069697
+0.00120005
+0.00274142
+0.00410597
+0.00581342
+0.00764654
+0.00959931
+0.0113878
+0.0131775
+0.0149281
+0.0166747
+0.0184856
+0.0203444
+0.0222557
+0.0212065
+0.0197836
+0.0185036
+0.0173272
+0.0163205
+0.0154858
+0.0149196
+0.014606
+0.0146065
+0.0148804
+0.0153747
+0.0160651
+0.0170115
+0.018174
+0.0195081
+0.0209529
+0.0225185
+0.0241814
+0.040112
+0.0390933
+0.0380889
+0.0371682
+0.0362959
+0.0355374
+0.0348813
+0.0343466
+0.0339451
+0.0336049
+0.0333991
+0.0333233
+0.0332982
+0.0333971
+0.0335704
+0.0338731
+0.0342155
+0.0346506
+0.0341817
+0.0326
+0.0310922
+0.0296696
+0.028329
+0.027082
+0.0259603
+0.0249808
+0.0241491
+0.0234257
+0.0228894
+0.0225154
+0.0214477
+0.0195079
+0.0176197
+0.0157026
+0.0138412
+0.0120498
+0.0102362
+0.00853905
+0.00689566
+0.00543244
+0.00402026
+0.00254081
+0.00120836
+0.000176668
+-0.000442442
+-0.000168465
+0.000768944
+0.00213633
+0.00295946
+0.00241585
+0.00222402
+0.00247959
+0.00324911
+0.00439884
+0.00384688
+0.00310121
+0.00201842
+0.000822145
+8.49362e-06
+-0.00143492
+-0.00297985
+-0.00450117
+-0.00626659
+-0.0078897
+-0.00849672
+-0.00645022
+-0.00427266
+-0.00211928
+-1.75875e-05
+0.00153484
+0.00285949
+0.00376059
+0.00534407
+0.00716701
+0.00876603
+0.0104465
+0.0122335
+0.0139574
+0.0157703
+0.0176538
+0.0195867
+0.0215563
+0.0216545
+0.0202366
+0.0188978
+0.017697
+0.0166979
+0.0158547
+0.0152507
+0.0148817
+0.0147997
+0.0149464
+0.0153755
+0.0160659
+0.0170123
+0.0181747
+0.0194706
+0.0209135
+0.0224777
+0.0241395
+0.0404342
+0.0394611
+0.0385216
+0.0376762
+0.0368787
+0.0361324
+0.0354875
+0.0349621
+0.0345677
+0.0342832
+0.0341358
+0.0340959
+0.0340935
+0.0342315
+0.0344883
+0.034794
+0.0352075
+0.0357109
+0.035423
+0.0338992
+0.0324518
+0.0310785
+0.0297974
+0.0286146
+0.0275553
+0.0266345
+0.0258332
+0.0251582
+0.0246517
+0.0242413
+0.0223381
+0.0204541
+0.0186047
+0.016787
+0.0150552
+0.0132853
+0.0116203
+0.0099878
+0.00852158
+0.00709352
+0.00560994
+0.00428121
+0.00301411
+0.00214962
+0.00164888
+0.00161894
+0.00223146
+0.00322255
+0.0038764
+0.0035623
+0.0031491
+0.00333729
+0.00393611
+0.0043853
+0.00357669
+0.00285621
+0.00187724
+0.000733659
+-0.000907884
+-0.00224972
+-0.00322928
+-0.00469938
+-0.00648467
+-0.00828681
+-0.00787023
+-0.00657679
+-0.00467682
+-0.00274522
+-0.00133287
+-5.1223e-05
+0.000898165
+0.00235194
+0.00438214
+0.00603927
+0.00778388
+0.00954964
+0.0113951
+0.0132041
+0.0150989
+0.0170233
+0.0190054
+0.0210214
+0.021979
+0.0205377
+0.0192338
+0.0180489
+0.0170511
+0.0162268
+0.0155994
+0.0151165
+0.0149424
+0.0150877
+0.0154982
+0.0161833
+0.0170859
+0.0181943
+0.0194869
+0.0209282
+0.0224494
+0.024074
+0.0407668
+0.0398697
+0.0390075
+0.0381748
+0.0374518
+0.0368007
+0.0361999
+0.0357016
+0.0353154
+0.035037
+0.0348928
+0.0348859
+0.0349843
+0.0351189
+0.0353888
+0.0357869
+0.0362249
+0.0367531
+0.0367531
+0.0352868
+0.0338869
+0.0325704
+0.0313503
+0.0302283
+0.0292276
+0.0283611
+0.0275885
+0.0269575
+0.0264764
+0.0252227
+0.0233433
+0.0215203
+0.0197333
+0.0180356
+0.0163172
+0.014692
+0.0130828
+0.0116148
+0.0101735
+0.00869408
+0.00734927
+0.00601222
+0.00496294
+0.00416577
+0.00367252
+0.00362855
+0.00401876
+0.00475089
+0.00525604
+0.00487882
+0.00457588
+0.00475496
+0.00517656
+0.00444555
+0.00358606
+0.00259517
+0.00173186
+0.000312924
+-0.000914926
+-0.00268579
+-0.00395062
+-0.00557203
+-0.00726049
+-0.00893276
+-0.00776185
+-0.00633965
+-0.00512196
+-0.00376012
+-0.00273427
+-0.00148702
+2.49789e-05
+0.00191024
+0.00363484
+0.0053374
+0.00718242
+0.00899527
+0.0107548
+0.012628
+0.0145711
+0.0165541
+0.0185729
+0.0206268
+0.0223717
+0.0209255
+0.0196045
+0.0184222
+0.0173586
+0.0165186
+0.0159376
+0.0154711
+0.0152403
+0.0153225
+0.0157126
+0.0163888
+0.0172821
+0.0183591
+0.0195835
+0.0209298
+0.0224095
+0.0239981
+0.0411817
+0.0402939
+0.0395078
+0.0387376
+0.0380254
+0.0374279
+0.036944
+0.036465
+0.0361128
+0.0358911
+0.0357682
+0.0357614
+0.0358834
+0.0361047
+0.0363673
+0.0367588
+0.0372587
+0.0378214
+0.0381626
+0.0367419
+0.035396
+0.0341377
+0.0329757
+0.0319108
+0.0309646
+0.0301415
+0.0294023
+0.0288111
+0.0281345
+0.0262801
+0.0244764
+0.0227107
+0.0210251
+0.0193648
+0.0177483
+0.0161789
+0.0147073
+0.0132618
+0.0117816
+0.0104098
+0.00907019
+0.00789962
+0.00695956
+0.0061985
+0.00577864
+0.00573872
+0.00595257
+0.00653235
+0.00680777
+0.00659844
+0.00627936
+0.00644055
+0.00557617
+0.00470657
+0.00357825
+0.00270463
+0.00195817
+0.000366406
+-0.00157229
+-0.00320133
+-0.00435104
+-0.00578732
+-0.00755877
+-0.00849297
+-0.00704427
+-0.00567504
+-0.00464945
+-0.00365327
+-0.00264976
+-0.000793173
+0.000778585
+0.00224507
+0.00372061
+0.00529435
+0.00690082
+0.00861227
+0.0104322
+0.0123544
+0.0143346
+0.0163069
+0.018322
+0.0203735
+0.0224513
+0.0213296
+0.019994
+0.0188138
+0.0178258
+0.0170328
+0.0164035
+0.0158977
+0.0156774
+0.0157256
+0.016046
+0.0166219
+0.0174462
+0.0184813
+0.0196933
+0.0210288
+0.0224602
+0.0240064
+0.0416776
+0.0407999
+0.0400229
+0.0393527
+0.0387145
+0.0381279
+0.0376548
+0.0372847
+0.0369863
+0.0367696
+0.0366827
+0.0367265
+0.0368655
+0.0370934
+0.037441
+0.0378214
+0.0383234
+0.0389218
+0.0395823
+0.0382638
+0.0369733
+0.0357706
+0.0346629
+0.0336514
+0.0327555
+0.0319606
+0.0312644
+0.0307057
+0.0292502
+0.0274638
+0.0257166
+0.0240422
+0.0224211
+0.0208155
+0.0192757
+0.0177905
+0.0163538
+0.0148694
+0.0134651
+0.0121485
+0.0108832
+0.00983181
+0.00895914
+0.00824107
+0.00783279
+0.00773496
+0.00791626
+0.0084174
+0.00853068
+0.00836014
+0.00811038
+0.00728902
+0.00602317
+0.00488132
+0.00363122
+0.00255858
+0.0016598
+0.000704479
+-0.000598454
+-0.00221882
+-0.00382943
+-0.00564197
+-0.00763512
+-0.00736473
+-0.00630186
+-0.00516798
+-0.00402664
+-0.00272382
+-0.00149589
+-0.000421101
+0.000892534
+0.00230702
+0.0036527
+0.00506735
+0.00659658
+0.00832547
+0.0101056
+0.0119957
+0.0139738
+0.0159901
+0.0180407
+0.0201208
+0.0222222
+0.0218059
+0.0204966
+0.0193467
+0.0183588
+0.0175231
+0.0167666
+0.0162693
+0.0160501
+0.0161282
+0.0164602
+0.0169979
+0.0177637
+0.0187319
+0.0198845
+0.0211683
+0.0225763
+0.0240602
+0.0422671
+0.0414019
+0.0406365
+0.0399765
+0.0394275
+0.0389194
+0.0384756
+0.0381134
+0.0378747
+0.0377315
+0.0376469
+0.0376895
+0.0378591
+0.038127
+0.0384965
+0.0389782
+0.0394655
+0.0400648
+0.0407524
+0.0398481
+0.0386106
+0.0374604
+0.0363972
+0.0354354
+0.0345857
+0.0338238
+0.0331667
+0.0322444
+0.0304733
+0.0287421
+0.0270775
+0.0254851
+0.0238852
+0.0223602
+0.0208781
+0.0194478
+0.0179586
+0.0165363
+0.0152348
+0.0139054
+0.0127951
+0.0118159
+0.0109302
+0.0103352
+0.00992561
+0.0098145
+0.00997493
+0.0104007
+0.0103772
+0.00978251
+0.00917359
+0.00801538
+0.00674886
+0.00535664
+0.0039818
+0.0026967
+0.00183113
+0.000372463
+-0.000723365
+-0.00162034
+-0.00323929
+-0.00524526
+-0.00704034
+-0.00613207
+-0.00488833
+-0.00350338
+-0.00238372
+-0.00138672
+-0.000686136
+0.00030102
+0.00143056
+0.00224537
+0.00358134
+0.00512999
+0.00661811
+0.00825519
+0.0100129
+0.011911
+0.0138955
+0.0159255
+0.0179802
+0.0200637
+0.0221679
+0.0224386
+0.0211244
+0.0199647
+0.0189456
+0.0181248
+0.0173846
+0.0168978
+0.0166868
+0.0167283
+0.0169673
+0.0174364
+0.0181256
+0.0190266
+0.0201229
+0.021305
+0.0226376
+0.0240959
+0.0429103
+0.0420762
+0.0413239
+0.0406759
+0.0401371
+0.0396478
+0.0392452
+0.0389618
+0.0387985
+0.0387044
+0.0386986
+0.0387404
+0.0389056
+0.0391928
+0.0395782
+0.040066
+0.0406546
+0.0412771
+0.0419548
+0.0414875
+0.0403004
+0.0391956
+0.0381786
+0.0372627
+0.0364556
+0.0357226
+0.0351026
+0.033499
+0.0317816
+0.0301256
+0.0285419
+0.0269608
+0.0254381
+0.023962
+0.0225428
+0.0210502
+0.019616
+0.0182815
+0.016955
+0.0157703
+0.0147127
+0.0137904
+0.0129602
+0.0124059
+0.0120533
+0.0119339
+0.0120776
+0.0124482
+0.0118132
+0.0108818
+0.0101198
+0.00903211
+0.00765839
+0.00629905
+0.00466236
+0.00332265
+0.00214011
+0.000712083
+-0.00047241
+-0.00198331
+-0.00351101
+-0.00497973
+-0.00629669
+-0.00540434
+-0.00402739
+-0.00247276
+-0.000992457
+0.00028115
+0.00121097
+0.00173952
+0.00221856
+0.00295357
+0.00416679
+0.00559709
+0.00706634
+0.00860322
+0.0103469
+0.0122039
+0.0141343
+0.0161091
+0.018116
+0.0201613
+0.0222343
+0.0230434
+0.0217295
+0.0205588
+0.019564
+0.0187558
+0.0180415
+0.017573
+0.0172997
+0.0172604
+0.0174488
+0.0179053
+0.0185253
+0.019317
+0.0203103
+0.0214728
+0.0227823
+0.0241822
+0.0435709
+0.0427328
+0.0419924
+0.0413548
+0.0408251
+0.0403987
+0.0400732
+0.0398085
+0.0396503
+0.0395896
+0.0396498
+0.0398306
+0.0400344
+0.0403136
+0.0407088
+0.0411986
+0.0417935
+0.042479
+0.0432278
+0.043176
+0.0420361
+0.0409724
+0.0400006
+0.0391274
+0.0383496
+0.0376454
+0.0365368
+0.0348314
+0.033183
+0.0316006
+0.0300411
+0.0285204
+0.0270462
+0.0256141
+0.0241434
+0.0227005
+0.0213392
+0.0200196
+0.0187735
+0.0176779
+0.0166879
+0.0157581
+0.0150355
+0.0144986
+0.0141981
+0.0140736
+0.0141972
+0.014172
+0.0130958
+0.0121755
+0.0111229
+0.00979957
+0.00827691
+0.00691912
+0.00558697
+0.00423668
+0.00309472
+0.00176516
+0.000191115
+-0.00183224
+-0.00303411
+-0.00419287
+-0.00476391
+-0.00418351
+-0.00298612
+-0.00166673
+-0.000206756
+0.000873819
+0.00219032
+0.0030731
+0.00355125
+0.00399779
+0.00500652
+0.0062803
+0.00772913
+0.00934559
+0.0109594
+0.0126839
+0.0145346
+0.0164511
+0.0184208
+0.0204356
+0.0224833
+0.0236432
+0.0223582
+0.0211915
+0.0201831
+0.019371
+0.0187806
+0.0182849
+0.0179015
+0.0177113
+0.0177908
+0.0181366
+0.0187338
+0.0195168
+0.0204976
+0.021645
+0.0229324
+0.0242903
+0.0443111
+0.04349
+0.0427627
+0.0421368
+0.041617
+0.0411988
+0.0408797
+0.0406762
+0.0405345
+0.0404978
+0.0405779
+0.0407554
+0.0410484
+0.0414552
+0.0419037
+0.0423881
+0.0429661
+0.0436466
+0.0444113
+0.0449078
+0.0438072
+0.0427876
+0.0418579
+0.0410243
+0.0402662
+0.039584
+0.0378891
+0.0362473
+0.0346664
+0.0331247
+0.0316047
+0.0301332
+0.028688
+0.0272378
+0.0257862
+0.0244072
+0.023093
+0.0218026
+0.0206595
+0.0195992
+0.0186493
+0.0177767
+0.01713
+0.0166086
+0.0163469
+0.0162242
+0.0163355
+0.0155768
+0.0145189
+0.0135168
+0.0121594
+0.0105458
+0.00904523
+0.00763551
+0.00639757
+0.005219
+0.00409898
+0.0019482
+-3.27299e-05
+-0.0018472
+-0.00268671
+-0.00382587
+-0.0036945
+-0.00294675
+-0.00159548
+-0.000424189
+0.000955685
+0.00217077
+0.00323855
+0.00413894
+0.00485433
+0.00530473
+0.00616
+0.007312
+0.00872786
+0.0102484
+0.0117893
+0.0134477
+0.0152061
+0.0170647
+0.0189753
+0.0209368
+0.0229398
+0.0243295
+0.0230689
+0.0219284
+0.0208754
+0.019951
+0.0192328
+0.0187445
+0.0183707
+0.0181854
+0.0182629
+0.0185999
+0.0191742
+0.0199014
+0.0208224
+0.0218875
+0.023102
+0.0244488
+0.0451435
+0.0443427
+0.0436295
+0.0430163
+0.0425072
+0.0420979
+0.0417856
+0.0415865
+0.0415023
+0.0414767
+0.0415565
+0.0417513
+0.0420391
+0.0424364
+0.042942
+0.043547
+0.0441933
+0.0448611
+0.0456188
+0.0464676
+0.0456148
+0.0446365
+0.0437462
+0.0429492
+0.0422094
+0.0409528
+0.0393169
+0.0377371
+0.0361958
+0.0346898
+0.0332185
+0.0317665
+0.0303329
+0.0288724
+0.0274819
+0.0261606
+0.0248487
+0.0236542
+0.0225603
+0.0215719
+0.0206193
+0.0198319
+0.0192127
+0.0187362
+0.0185046
+0.0183843
+0.0182187
+0.0170857
+0.0160645
+0.0147031
+0.0131382
+0.011581
+0.010091
+0.00871009
+0.00761082
+0.00626541
+0.00428476
+0.00227835
+0.000769112
+0.000239832
+-0.000854294
+-0.00242365
+-0.00264574
+-0.00203154
+-0.000274332
+0.00109964
+0.00225782
+0.00362975
+0.00467361
+0.00528224
+0.00611184
+0.00667834
+0.00750836
+0.00855968
+0.00980592
+0.0112527
+0.0127608
+0.0143502
+0.0160653
+0.017855
+0.0197004
+0.0216104
+0.0235693
+0.0250731
+0.0237816
+0.0225774
+0.0215035
+0.0205657
+0.0198151
+0.0192854
+0.0189518
+0.0187722
+0.0188473
+0.0190988
+0.0195714
+0.0202307
+0.0210935
+0.0221401
+0.023346
+0.0246877
+0.0460294
+0.0452652
+0.0445873
+0.0439874
+0.0434896
+0.0430896
+0.0427846
+0.0425902
+0.042508
+0.0425339
+0.0426117
+0.0428017
+0.0431024
+0.0435059
+0.0439992
+0.0445939
+0.0452672
+0.0460291
+0.0468259
+0.0476999
+0.0474547
+0.0465151
+0.0456614
+0.0448845
+0.0440213
+0.0423907
+0.0408116
+0.0392688
+0.0377757
+0.0363012
+0.0348485
+0.0334286
+0.0319594
+0.0305599
+0.029215
+0.0279062
+0.0266687
+0.025552
+0.0244905
+0.0235245
+0.0226285
+0.0219134
+0.0213088
+0.0208768
+0.0206623
+0.0205508
+0.0197729
+0.0187008
+0.0173743
+0.0158595
+0.0143136
+0.0128001
+0.0113529
+0.0100902
+0.00862881
+0.00716602
+0.00532228
+0.00352326
+0.00202736
+0.000931205
+-0.000170808
+-0.00120667
+-0.000799088
+-0.000353854
+0.000602362
+0.00245699
+0.00382075
+0.00503761
+0.00624762
+0.00675077
+0.00736526
+0.00812424
+0.00895626
+0.00989251
+0.0110613
+0.0124601
+0.0139223
+0.0154585
+0.0170892
+0.0188079
+0.0205913
+0.0224333
+0.024326
+0.0257599
+0.0244634
+0.023241
+0.0221628
+0.0212298
+0.0203827
+0.0197354
+0.0193161
+0.01914
+0.0191787
+0.0194522
+0.0199637
+0.0206192
+0.0214663
+0.0224956
+0.0236558
+0.0248319
+0.0469995
+0.0462438
+0.0455809
+0.0450148
+0.0445495
+0.0441679
+0.0438703
+0.0436808
+0.0436006
+0.0436304
+0.0437513
+0.0439363
+0.0442292
+0.0446279
+0.0451258
+0.0457067
+0.0463749
+0.0471246
+0.0479628
+0.0488489
+0.0493232
+0.04842
+0.0476004
+0.0468411
+0.0454677
+0.0438894
+0.0423454
+0.0408603
+0.0393863
+0.0379332
+0.0365246
+0.0350483
+0.0336397
+0.0322778
+0.0309718
+0.0297005
+0.0285409
+0.0274485
+0.0264578
+0.0254948
+0.0246685
+0.0239849
+0.0234192
+0.0230269
+0.0228229
+0.0225487
+0.0214385
+0.0201567
+0.0186323
+0.0170867
+0.01557
+0.014024
+0.0125125
+0.0109317
+0.00957917
+0.0078426
+0.0059654
+0.00418502
+0.0027462
+0.00146436
+0.000580081
+-3.73693e-05
+0.000403796
+0.0007042
+0.00127756
+0.00268672
+0.0046607
+0.00633126
+0.0077635
+0.00825038
+0.00845974
+0.00918391
+0.0101861
+0.0111621
+0.0121497
+0.0133404
+0.0147146
+0.0161117
+0.017625
+0.0192516
+0.0209811
+0.0227901
+0.0246469
+0.0263719
+0.0250513
+0.0238314
+0.0226927
+0.0217055
+0.0208973
+0.0202664
+0.0198584
+0.0196871
+0.0197359
+0.0200017
+0.0204996
+0.02117
+0.0218932
+0.022745
+0.0237432
+0.0248776
+0.0480321
+0.0472928
+0.0466447
+0.0460918
+0.0456374
+0.0452845
+0.0450066
+0.0448219
+0.0447437
+0.0447728
+0.0449088
+0.045133
+0.0454339
+0.0458221
+0.0463107
+0.0468824
+0.0475428
+0.0482891
+0.0491074
+0.0499957
+0.0509383
+0.0503481
+0.0495567
+0.0485474
+0.0469699
+0.0454249
+0.043935
+0.0424733
+0.0410198
+0.0396084
+0.0381388
+0.0367225
+0.0353467
+0.0340433
+0.0327447
+0.0315449
+0.0304344
+0.0293843
+0.0284077
+0.0274968
+0.0267325
+0.0260723
+0.0255432
+0.0251839
+0.0249887
+0.0242202
+0.0229213
+0.0212841
+0.019706
+0.0181862
+0.0166264
+0.0150015
+0.0133626
+0.0118953
+0.0102534
+0.0083833
+0.00671003
+0.005304
+0.00399368
+0.00250215
+0.00147108
+0.00109295
+0.00126361
+0.00174167
+0.00260121
+0.00379596
+0.00543777
+0.00736198
+0.00901049
+0.00950065
+0.00967282
+0.0103122
+0.0109189
+0.0116383
+0.0125929
+0.0137732
+0.0150211
+0.0163887
+0.0179117
+0.0195618
+0.0212885
+0.0230908
+0.0249489
+0.0268406
+0.0256891
+0.0244502
+0.023332
+0.022373
+0.0215898
+0.0209797
+0.0205858
+0.0203996
+0.0204232
+0.0206351
+0.0210299
+0.0214978
+0.0221444
+0.0229825
+0.0239707
+0.0250949
+0.0491405
+0.0484171
+0.0477831
+0.0472424
+0.0467944
+0.0464303
+0.0461475
+0.0459673
+0.0458912
+0.0459195
+0.0460521
+0.0462881
+0.046626
+0.0470357
+0.0475314
+0.0481218
+0.0487727
+0.0495049
+0.0503214
+0.051201
+0.0521273
+0.0522968
+0.0515221
+0.0500525
+0.0485069
+0.0470125
+0.0455593
+0.0441081
+0.0426863
+0.0412303
+0.0398066
+0.0384203
+0.0371006
+0.0357981
+0.0345655
+0.03343
+0.0323398
+0.0313432
+0.0303777
+0.0295256
+0.0287996
+0.0281747
+0.0276775
+0.0273464
+0.0270579
+0.0255864
+0.0239303
+0.022274
+0.0207172
+0.0192807
+0.017684
+0.01602
+0.0144967
+0.0126902
+0.0107977
+0.009038
+0.00750295
+0.00626165
+0.00506904
+0.0040705
+0.00319038
+0.00305153
+0.00321313
+0.00360132
+0.0043005
+0.00534255
+0.00673612
+0.00841935
+0.0102208
+0.0109154
+0.0108111
+0.0110012
+0.0115232
+0.0123684
+0.0132957
+0.01444
+0.015628
+0.0169466
+0.0184155
+0.0200101
+0.0217088
+0.0234892
+0.0253118
+0.0271857
+0.026346
+0.0251336
+0.0240581
+0.0231181
+0.0223355
+0.0217164
+0.0212925
+0.0210848
+0.0210196
+0.0211637
+0.0215045
+0.0219332
+0.0225674
+0.0233695
+0.0243248
+0.0254308
+0.0503024
+0.0495959
+0.0489772
+0.0484443
+0.0479928
+0.0476379
+0.0473623
+0.0471868
+0.0471125
+0.0471401
+0.0472693
+0.0474993
+0.0478287
+0.0482553
+0.0487661
+0.0493444
+0.0500094
+0.0507604
+0.0515785
+0.0524444
+0.0533604
+0.0542641
+0.053137
+0.0515907
+0.0500925
+0.0486345
+0.0471977
+0.045767
+0.0443228
+0.0428911
+0.0414976
+0.0401594
+0.0388587
+0.0375987
+0.0364271
+0.0353198
+0.0342793
+0.0332953
+0.0323742
+0.031576
+0.0308723
+0.0302829
+0.0298201
+0.0295129
+0.0283311
+0.026632
+0.0249627
+0.0233797
+0.0218943
+0.0204841
+0.0188127
+0.0172578
+0.0153596
+0.0134859
+0.0117225
+0.0101221
+0.00870791
+0.0073366
+0.00606332
+0.00479563
+0.00406233
+0.00417244
+0.00468364
+0.0051773
+0.00554816
+0.00646945
+0.00781578
+0.00946524
+0.0112931
+0.0117501
+0.0116532
+0.0119079
+0.0123918
+0.0132029
+0.0141123
+0.0152034
+0.0164534
+0.0177023
+0.0191173
+0.0206578
+0.0223073
+0.0240433
+0.0258352
+0.0276737
+0.027033
+0.0258514
+0.0248039
+0.0238761
+0.0231192
+0.0225173
+0.0220247
+0.0217427
+0.0216795
+0.021744
+0.0219505
+0.0223707
+0.0229929
+0.0237972
+0.0247359
+0.0258243
+0.0515312
+0.0508418
+0.0502312
+0.0496995
+0.0492595
+0.0489138
+0.0486455
+0.0484746
+0.0484023
+0.0484292
+0.048555
+0.0487789
+0.0490996
+0.0495137
+0.0500037
+0.0505836
+0.0512506
+0.0520015
+0.0528266
+0.0537063
+0.0546175
+0.0556001
+0.0546762
+0.0531746
+0.0517126
+0.0502883
+0.0488499
+0.047416
+0.0459763
+0.0445777
+0.0432239
+0.0419247
+0.0406418
+0.0394388
+0.0383185
+0.037233
+0.036232
+0.035265
+0.0343944
+0.0336384
+0.0329603
+0.0324013
+0.0319691
+0.0311261
+0.0294099
+0.0277369
+0.0261383
+0.0246197
+0.0231852
+0.0216885
+0.0200794
+0.0181642
+0.0163183
+0.0145684
+0.0129532
+0.0114628
+0.0100449
+0.00867651
+0.00724445
+0.00617803
+0.00560052
+0.00566046
+0.00615754
+0.00671985
+0.00707205
+0.00785873
+0.0090651
+0.0105354
+0.0122224
+0.012853
+0.0127646
+0.0130021
+0.0135094
+0.0142687
+0.0151499
+0.0162054
+0.0174249
+0.018663
+0.0200136
+0.0215031
+0.0230987
+0.0247794
+0.0265279
+0.0283221
+0.0277752
+0.0266155
+0.0255667
+0.0246683
+0.0238962
+0.0232269
+0.0227496
+0.0224351
+0.022249
+0.0222779
+0.0225084
+0.0229183
+0.023497
+0.0242502
+0.0251721
+0.0261979
+0.0525462
+0.0520677
+0.0515361
+0.051018
+0.0505895
+0.0502397
+0.0499782
+0.0498119
+0.0497415
+0.0497676
+0.04989
+0.0501079
+0.0504202
+0.050825
+0.0513033
+0.0518687
+0.0525194
+0.0532524
+0.0540642
+0.0549515
+0.055893
+0.0568553
+0.0562585
+0.0547928
+0.0533664
+0.0519345
+0.0505098
+0.0490631
+0.0476602
+0.0462928
+0.0449907
+0.0436925
+0.042463
+0.0413132
+0.0402084
+0.0391753
+0.0381857
+0.0372572
+0.0364342
+0.0356991
+0.0350609
+0.0345287
+0.0339738
+0.0322455
+0.0305715
+0.0289656
+0.0274243
+0.0259599
+0.0245035
+0.0228888
+0.0209978
+0.0191708
+0.0174221
+0.0157572
+0.0142354
+0.0129027
+0.0115192
+0.01002
+0.00877554
+0.0078731
+0.0074066
+0.00743859
+0.00793941
+0.00854933
+0.00884654
+0.00953261
+0.010572
+0.011903
+0.0134201
+0.014199
+0.0141191
+0.0143445
+0.0148078
+0.0155147
+0.0163966
+0.0173949
+0.018562
+0.0198051
+0.0210969
+0.0224759
+0.0233859
+0.0244275
+0.0256082
+0.0269156
+0.0283323
+0.0274096
+0.0263213
+0.0253758
+0.0245801
+0.0239315
+0.0233988
+0.0229725
+0.02275
+0.0227375
+0.0229351
+0.0233118
+0.0238706
+0.0246123
+0.0255211
+0.0265334
+0.0534949
+0.0530425
+0.0526687
+0.052375
+0.0519652
+0.0516196
+0.0513652
+0.0512033
+0.0511349
+0.0511603
+0.0512793
+0.0514914
+0.0517953
+0.0521895
+0.052662
+0.0532129
+0.0538474
+0.0545626
+0.0553552
+0.0562221
+0.0571599
+0.0581453
+0.057875
+0.0564414
+0.0550203
+0.0536042
+0.0521512
+0.0507446
+0.0493654
+0.0480467
+0.0467495
+0.0454971
+0.0443177
+0.0432011
+0.0421274
+0.0411232
+0.040155
+0.0392706
+0.0384907
+0.0377744
+0.0371702
+0.0366636
+0.0351255
+0.0334521
+0.0318416
+0.0302862
+0.0288007
+0.0272008
+0.0256276
+0.0237526
+0.0219352
+0.0201692
+0.0184921
+0.0169327
+0.0155265
+0.0143146
+0.0129414
+0.0116209
+0.0105084
+0.00975007
+0.00936575
+0.00939094
+0.00982017
+0.0103891
+0.0107623
+0.011371
+0.0122788
+0.0134526
+0.0148453
+0.0147437
+0.0148972
+0.0153487
+0.0160241
+0.0168984
+0.0172496
+0.0178645
+0.0187058
+0.0192596
+0.0198361
+0.0206302
+0.0216066
+0.0227226
+0.0239873
+0.0253784
+0.0267249
+0.0281675
+0.02711
+0.026193
+0.0253233
+0.0245419
+0.0239361
+0.0235195
+0.0233023
+0.02329
+0.023483
+0.0238615
+0.0244077
+0.0251336
+0.0260242
+0.0270428
+0.0544728
+0.0540286
+0.0536702
+0.0533994
+0.0532174
+0.0530541
+0.0528066
+0.0526492
+0.0525827
+0.0526073
+0.0527231
+0.0529294
+0.0532251
+0.0536087
+0.0540753
+0.054612
+0.0552305
+0.0559279
+0.0567015
+0.0575481
+0.0584646
+0.0594477
+0.0595189
+0.0581073
+0.0566978
+0.0552405
+0.0538305
+0.052441
+0.0511077
+0.0498115
+0.0485393
+0.0473343
+0.0462018
+0.0450992
+0.0440718
+0.0430779
+0.0421438
+0.041302
+0.0405431
+0.039862
+0.0392838
+0.0380398
+0.0363686
+0.0347551
+0.0331905
+0.031583
+0.0299717
+0.0283796
+0.0265042
+0.0246809
+0.022922
+0.0212435
+0.019666
+0.0182049
+0.0168852
+0.0157607
+0.0145532
+0.013344
+0.0123871
+0.0117259
+0.0114094
+0.01143
+0.0117849
+0.012006
+0.0123682
+0.0130506
+0.0140175
+0.0140907
+0.0140536
+0.0143029
+0.0148617
+0.0146726
+0.014594
+0.0147258
+0.0151275
+0.0158229
+0.0167483
+0.0173486
+0.0179864
+0.0188586
+0.0199011
+0.0211076
+0.0224213
+0.0237214
+0.0251455
+0.0266736
+0.0278346
+0.0269063
+0.0260058
+0.0252455
+0.024657
+0.0242528
+0.0240422
+0.0240303
+0.0242174
+0.0245846
+0.0251151
+0.0258211
+0.0266495
+0.0274968
+0.0555199
+0.0550841
+0.0547327
+0.0544671
+0.0542887
+0.054194
+0.054175
+0.0541451
+0.0540804
+0.0541044
+0.054217
+0.0544176
+0.0547052
+0.0550786
+0.0555239
+0.0560467
+0.0566495
+0.0573297
+0.0580846
+0.0589113
+0.0598069
+0.0607683
+0.061195
+0.0597781
+0.0583307
+0.056914
+0.0555191
+0.054173
+0.0528778
+0.0515882
+0.0503608
+0.0492005
+0.0480869
+0.0470227
+0.0460159
+0.0450468
+0.0441517
+0.043349
+0.0426077
+0.0419602
+0.0409811
+0.0393128
+0.0376367
+0.0359511
+0.0343196
+0.0327457
+0.031055
+0.0291871
+0.0273671
+0.0256053
+0.0239145
+0.0223108
+0.0207972
+0.0194066
+0.0181743
+0.0171214
+0.0160283
+0.0149848
+0.014122
+0.0135111
+0.0131962
+0.0132134
+0.0131415
+0.0124811
+0.0121615
+0.0121134
+0.0122819
+0.0119117
+0.0118674
+0.0121565
+0.0128093
+0.0125104
+0.0124184
+0.0125595
+0.0130282
+0.0138214
+0.0148509
+0.0155117
+0.0162219
+0.0171753
+0.0182994
+0.0194934
+0.0207458
+0.0221445
+0.0236637
+0.0252815
+0.0269804
+0.027587
+0.0267618
+0.0260902
+0.025546
+0.0251561
+0.0249531
+0.0249416
+0.0251219
+0.0254761
+0.0259412
+0.0264931
+0.0272011
+0.028033
+0.0566284
+0.0562012
+0.0558568
+0.0555966
+0.0554218
+0.0553194
+0.0553007
+0.0553688
+0.0555233
+0.0556474
+0.0557569
+0.055952
+0.0562318
+0.0565878
+0.0570168
+0.0575261
+0.0581135
+0.0587767
+0.0595133
+0.0603204
+0.0611954
+0.0621353
+0.06286
+0.0614217
+0.0599981
+0.0585993
+0.0572418
+0.0559371
+0.0546426
+0.0533956
+0.0522108
+0.0510877
+0.0499915
+0.0489687
+0.0479713
+0.0470329
+0.0461763
+0.0453988
+0.0446844
+0.0439385
+0.0421703
+0.0404363
+0.0387486
+0.0371068
+0.0355213
+0.0338027
+0.0319452
+0.0301326
+0.0283733
+0.0266781
+0.0250582
+0.0235122
+0.0220752
+0.0207704
+0.0196168
+0.0186379
+0.017639
+0.0166824
+0.0158689
+0.0148567
+0.0134536
+0.0122432
+0.0112551
+0.0104806
+0.0100979
+0.0100554
+0.0101782
+0.00973717
+0.00968211
+0.0100291
+0.0107567
+0.0103509
+0.0102327
+0.0104034
+0.0109647
+0.0118686
+0.0130429
+0.0137785
+0.0145735
+0.0156012
+0.0166274
+0.0178119
+0.0191744
+0.0206797
+0.0222989
+0.0240089
+0.0257917
+0.0276333
+0.0275356
+0.0268687
+0.0263612
+0.0260238
+0.0258277
+0.0258126
+0.0258805
+0.0261315
+0.0265614
+0.0271617
+0.0278843
+0.0287048
+0.0577866
+0.0573681
+0.0570307
+0.0567758
+0.0566047
+0.0565072
+0.056489
+0.0565557
+0.0567069
+0.0569422
+0.0572603
+0.0575289
+0.0577984
+0.058136
+0.0585536
+0.0590496
+0.059622
+0.0602687
+0.0609872
+0.0617751
+0.0626298
+0.0635485
+0.0645133
+0.0630834
+0.0616813
+0.0603136
+0.0589955
+0.0577016
+0.0564372
+0.0552307
+0.0540861
+0.052975
+0.0519186
+0.0509098
+0.04994
+0.0490364
+0.0482154
+0.0474544
+0.0467714
+0.0450077
+0.0432765
+0.0415877
+0.0399398
+0.0383463
+0.0366063
+0.0347607
+0.0329573
+0.0312035
+0.0295081
+0.0278751
+0.0263119
+0.0248438
+0.0234884
+0.0222641
+0.0211812
+0.020278
+0.0188244
+0.0169691
+0.0151513
+0.0134383
+0.0118832
+0.0105286
+0.00945421
+0.0085638
+0.00809147
+0.00805947
+0.00812034
+0.00756048
+0.00749844
+0.00793592
+0.00875795
+0.0082066
+0.00804983
+0.00826451
+0.00895238
+0.00999877
+0.011324
+0.0121936
+0.0129736
+0.0138518
+0.0149446
+0.0162522
+0.0177349
+0.0193525
+0.0210739
+0.0228705
+0.0247244
+0.0266291
+0.0284436
+0.0277895
+0.0272652
+0.0269002
+0.0266867
+0.0265714
+0.0266364
+0.0268803
+0.0272984
+0.0278829
+0.0286235
+0.0295085
+0.0590034
+0.0585936
+0.0582633
+0.0580139
+0.0578464
+0.0577538
+0.057736
+0.0578012
+0.0579492
+0.0581794
+0.0584908
+0.0588821
+0.0593518
+0.0597244
+0.060131
+0.0606141
+0.0611718
+0.0618023
+0.0625032
+0.0632722
+0.0641069
+0.0650048
+0.0659631
+0.0647649
+0.0633879
+0.0620578
+0.0607646
+0.0594846
+0.0582589
+0.057091
+0.055971
+0.0548849
+0.053866
+0.0528657
+0.0519237
+0.0510552
+0.0502628
+0.0495216
+0.0478775
+0.04615
+0.044459
+0.0428096
+0.0412106
+0.0394541
+0.0376206
+0.0358272
+0.0340802
+0.0323873
+0.0307459
+0.029172
+0.0276822
+0.0262907
+0.0250139
+0.0238365
+0.0218174
+0.0198188
+0.0178396
+0.0159159
+0.0140566
+0.0122153
+0.0105089
+0.00896729
+0.00769996
+0.00671605
+0.00616877
+0.00617488
+0.00612111
+0.00539408
+0.00531688
+0.00588818
+0.00683809
+0.00609534
+0.00587265
+0.00615065
+0.00699279
+0.00824435
+0.00978966
+0.0105385
+0.0112054
+0.0121825
+0.0134092
+0.014852
+0.0164507
+0.0181672
+0.0199743
+0.0218427
+0.0237662
+0.0257325
+0.0277324
+0.0287759
+0.028261
+0.0278785
+0.0275948
+0.0274833
+0.0275461
+0.0277821
+0.0281868
+0.0287532
+0.029472
+0.0303322
+0.0602753
+0.0598742
+0.059551
+0.059307
+0.0591433
+0.0590554
+0.0590379
+0.0591017
+0.0592465
+0.0594717
+0.0597763
+0.0601593
+0.060619
+0.0611538
+0.0617458
+0.0622163
+0.0627599
+0.0633745
+0.0640582
+0.0648088
+0.065624
+0.0665013
+0.0674385
+0.0664645
+0.0651235
+0.0638296
+0.0625371
+0.0612941
+0.0601053
+0.0589739
+0.0578649
+0.056815
+0.0558045
+0.0548341
+0.0539235
+0.0530877
+0.0523108
+0.0507741
+0.0490507
+0.0473589
+0.0457092
+0.0441065
+0.0423201
+0.0404993
+0.0387168
+0.0369668
+0.0352626
+0.0336148
+0.0320321
+0.0305246
+0.0291042
+0.0273385
+0.0252194
+0.0231137
+0.0210253
+0.0189601
+0.0169264
+0.0149372
+0.0129962
+0.011124
+0.0093621
+0.00764656
+0.00615125
+0.00497089
+0.00427501
+0.00427317
+0.0042535
+0.00325763
+0.0031392
+0.00386023
+0.00508442
+0.00405447
+0.00371128
+0.0041072
+0.00518679
+0.00672106
+0.00848126
+0.00883664
+0.00957128
+0.0106835
+0.0120304
+0.0135836
+0.0152922
+0.017111
+0.0190085
+0.0209631
+0.0229605
+0.0249844
+0.0270278
+0.0290927
+0.0293417
+0.0289067
+0.0286332
+0.0285258
+0.0285863
+0.0288137
+0.0292042
+0.0297512
+0.0304443
+0.0311291
+0.0615989
+0.0612065
+0.0608904
+0.0606518
+0.0604916
+0.060406
+0.060389
+0.0604513
+0.0605929
+0.0608131
+0.0611111
+0.0614857
+0.0619356
+0.0624591
+0.0630545
+0.0637196
+0.0643833
+0.0649826
+0.0656495
+0.0663821
+0.0671782
+0.0680355
+0.0689518
+0.0681922
+0.0668858
+0.0655938
+0.0643352
+0.0631277
+0.0619741
+0.0608568
+0.0597791
+0.0587596
+0.0577608
+0.0568159
+0.0559375
+0.0550523
+0.0536932
+0.0519718
+0.0502825
+0.0486332
+0.0469742
+0.0451285
+0.0433149
+0.0415316
+0.0397817
+0.0380774
+0.0364252
+0.0348324
+0.0333076
+0.0311783
+0.0290168
+0.02686
+0.0247092
+0.0225661
+0.0204331
+0.0183071
+0.0161916
+0.0140991
+0.0120416
+0.0100405
+0.00810548
+0.00630362
+0.00471212
+0.00356883
+0.00267704
+0.00263736
+0.00257842
+0.00122012
+0.00100964
+0.00198956
+0.00356695
+0.00221197
+0.00161816
+0.00220731
+0.00369127
+0.0056015
+0.0069551
+0.00732656
+0.00806801
+0.0092783
+0.0108018
+0.0125085
+0.0143458
+0.0162707
+0.0182497
+0.0202618
+0.0223075
+0.0243785
+0.0264687
+0.028574
+0.030456
+0.0300371
+0.029774
+0.0296707
+0.0297288
+0.0299476
+0.0303214
+0.0306978
+0.0312237
+0.0318918
+0.0629709
+0.0625871
+0.062278
+0.0620447
+0.0618882
+0.0618045
+0.0617878
+0.0618488
+0.0619872
+0.0622024
+0.0624938
+0.0628602
+0.0633003
+0.0638126
+0.0643955
+0.0650469
+0.0657649
+0.0665473
+0.0672746
+0.0679896
+0.0687671
+0.0696048
+0.0705004
+0.0699458
+0.0684739
+0.0670091
+0.0655848
+0.0642037
+0.0628685
+0.0615824
+0.0603484
+0.0591698
+0.05805
+0.0569924
+0.0560006
+0.0550702
+0.0542036
+0.0532258
+0.0515776
+0.0498093
+0.0479726
+0.0461648
+0.0443813
+0.0426358
+0.0409331
+0.0392788
+0.0374621
+0.0352776
+0.0330938
+0.030911
+0.0287294
+0.0265493
+0.0243711
+0.0221954
+0.0200229
+0.0178549
+0.0156932
+0.0135408
+0.011403
+0.00927766
+0.00717541
+0.00514744
+0.00323831
+0.00171581
+0.00129538
+0.00164855
+0.00127495
+-0.000452095
+-0.00102539
+0.000612639
+0.00210722
+0.000763973
+3.00248e-05
+0.00100487
+0.00298756
+0.00500004
+0.00562991
+0.0059317
+0.00682501
+0.00821072
+0.00988684
+0.0117198
+0.0136428
+0.0156364
+0.0176767
+0.0197492
+0.0218448
+0.0239575
+0.0260822
+0.0282164
+0.0303586
+0.031254
+0.0310012
+0.0309012
+0.0308369
+0.0309281
+0.0311732
+0.0315595
+0.0320652
+0.0326877
+0.0643883
+0.0640129
+0.0637107
+0.0634827
+0.0633297
+0.063248
+0.0632317
+0.0632913
+0.0634265
+0.0636369
+0.0639217
+0.0642799
+0.0647104
+0.0652117
+0.0657821
+0.0664199
+0.0671232
+0.06789
+0.068718
+0.0696052
+0.0703883
+0.071207
+0.0715957
+0.0700592
+0.0685583
+0.0670954
+0.0656729
+0.0642937
+0.0629605
+0.0616762
+0.0604436
+0.059265
+0.058145
+0.0570871
+0.0560949
+0.0551635
+0.0542984
+0.053509
+0.0526523
+0.0508203
+0.0490136
+0.0472361
+0.0454946
+0.0437935
+0.0417495
+0.0395591
+0.0373686
+0.0351783
+0.0329879
+0.0307976
+0.0286074
+0.0264172
+0.0242271
+0.0220372
+0.0198474
+0.0176579
+0.0154687
+0.0132799
+0.011092
+0.00890531
+0.00672131
+0.00454375
+0.00238789
+0.000299916
+-0.000306895
+0.000978313
+0.000522871
+-0.00154045
+-0.00240081
+-0.000519608
+0.00162089
+-0.000129136
+-0.000932634
+0.000313781
+0.00236155
+0.00441477
+0.00467987
+0.00492342
+0.00596957
+0.00748583
+0.00925274
+0.0111708
+0.0131742
+0.0152292
+0.0173176
+0.0194285
+0.0215553
+0.0236938
+0.025841
+0.0279949
+0.0301542
+0.0323176
+0.0320452
+0.0318328
+0.0317704
+0.0318589
+0.032089
+0.0324304
+0.0329005
+0.0335075
+0.065848
+0.065481
+0.0651856
+0.0649628
+0.0648133
+0.0647334
+0.0647175
+0.0647757
+0.0649078
+0.0651134
+0.0653918
+0.0657421
+0.066163
+0.0666534
+0.0672116
+0.0678359
+0.0685247
+0.0692759
+0.0700876
+0.0709576
+0.0718839
+0.0728398
+0.0717418
+0.070208
+0.0687086
+0.0672472
+0.0658263
+0.0644486
+0.0631168
+0.0618339
+0.0606031
+0.0594276
+0.0583108
+0.057256
+0.0562668
+0.0553382
+0.0544759
+0.0536891
+0.0529814
+0.0518307
+0.0500573
+0.0483182
+0.0461586
+0.0439696
+0.0417806
+0.0395919
+0.0374034
+0.0352152
+0.0330273
+0.0308398
+0.0286528
+0.0264664
+0.0242808
+0.0220962
+0.0199129
+0.0177253
+0.0155375
+0.0133507
+0.0111654
+0.0089826
+0.00680478
+0.00463894
+0.00251625
+0.000556842
+0.000208748
+0.00158746
+0.00121977
+-0.000532052
+-0.000698762
+0.000523555
+0.00169008
+-0.000219294
+-0.00101047
+0.000162407
+0.00217932
+0.00430261
+0.00435228
+0.00459415
+0.00570105
+0.00726826
+0.00907617
+0.0110238
+0.0130488
+0.01512
+0.0172208
+0.0193416
+0.0214764
+0.0236215
+0.0257742
+0.0279328
+0.0300961
+0.032263
+0.0330379
+0.0328319
+0.0327714
+0.0328381
+0.0330411
+0.0333868
+0.0338443
+0.0344347
+0.0673473
+0.0669885
+0.0666998
+0.0664821
+0.066336
+0.066258
+0.0662424
+0.0662993
+0.0664284
+0.0666293
+0.0669014
+0.0672437
+0.0676554
+0.068135
+0.0686811
+0.0692923
+0.0699667
+0.0707026
+0.0714981
+0.0723512
+0.0732598
+0.0735051
+0.071943
+0.0704135
+0.0689187
+0.0674618
+0.0660455
+0.0646724
+0.0633453
+0.0620672
+0.0608412
+0.0596703
+0.0585581
+0.0575079
+0.056523
+0.0555987
+0.0547405
+0.0539577
+0.0532535
+0.0526311
+0.0506548
+0.0484683
+0.0462821
+0.0440964
+0.0419113
+0.0397267
+0.0375429
+0.0353599
+0.0331779
+0.0309971
+0.0288179
+0.0266405
+0.0244655
+0.0222935
+0.0201255
+0.017963
+0.0158082
+0.0136648
+0.0115391
+0.00944304
+0.00740197
+0.00541404
+0.00365299
+0.0023683
+0.00220404
+0.00299316
+0.00255616
+0.00148211
+0.00141593
+0.0022174
+0.00281147
+0.00168121
+0.00116582
+0.00144249
+0.00292129
+0.00473666
+0.00488058
+0.00508719
+0.00610535
+0.00758951
+0.00933541
+0.0112382
+0.0132304
+0.015277
+0.0173589
+0.0194646
+0.0215873
+0.0237223
+0.0258666
+0.0280181
+0.0301753
+0.0323369
+0.0341316
+0.0339323
+0.0338552
+0.0339109
+0.0341074
+0.0344425
+0.0348862
+0.0354592
+0.0688837
+0.068533
+0.0682508
+0.068038
+0.0678953
+0.0678191
+0.0678038
+0.0678594
+0.0679855
+0.0681819
+0.0684478
+0.0687824
+0.0691849
+0.069654
+0.0701883
+0.0707865
+0.0714468
+0.0721676
+0.0729471
+0.0737834
+0.0746747
+0.0737666
+0.0722101
+0.0706864
+0.0691974
+0.0677466
+0.0663364
+0.0649694
+0.0636485
+0.0623766
+0.0611568
+0.0599921
+0.058886
+0.0578417
+0.0568626
+0.0559439
+0.0550911
+0.0543133
+0.0536138
+0.0529956
+0.050833
+0.0486545
+0.0464771
+0.044301
+0.0421265
+0.0399537
+0.0377829
+0.0356147
+0.0334493
+0.0312875
+0.0291299
+0.0269778
+0.0248323
+0.0226954
+0.0205698
+0.0184594
+0.0163701
+0.0143111
+0.0122906
+0.0103101
+0.00843422
+0.00675068
+0.00532988
+0.00446398
+0.00433382
+0.00487394
+0.00435343
+0.00362571
+0.00357887
+0.00415436
+0.00461134
+0.00369328
+0.00334776
+0.00346764
+0.00439292
+0.00580695
+0.00615003
+0.00631007
+0.00715631
+0.00848363
+0.0100758
+0.0118604
+0.0137628
+0.0157404
+0.017768
+0.0198303
+0.0219176
+0.0240233
+0.0261429
+0.0282734
+0.0304125
+0.0325584
+0.0347099
+0.0351171
+0.035034
+0.0350878
+0.0352778
+0.0356018
+0.0360312
+0.0365864
+0.0704547
+0.0701118
+0.069836
+0.0696281
+0.0694886
+0.0694141
+0.0693993
+0.0694536
+0.0695768
+0.0697687
+0.0700285
+0.0703557
+0.0707492
+0.071208
+0.0717308
+0.0723161
+0.0729626
+0.0736686
+0.0744324
+0.0752522
+0.0756731
+0.0740919
+0.0725424
+0.0710258
+0.0695441
+0.0681007
+0.0666979
+0.0653386
+0.0640253
+0.062761
+0.0615488
+0.0603917
+0.059293
+0.058256
+0.057284
+0.0563722
+0.055526
+0.0547543
+0.0540605
+0.0532729
+0.0511045
+0.0489381
+0.0467739
+0.0446123
+0.0424537
+0.0402986
+0.0381475
+0.0360012
+0.0338605
+0.0317267
+0.0296012
+0.027486
+0.0253835
+0.0232972
+0.021232
+0.0191946
+0.0171824
+0.0152078
+0.013301
+0.0114959
+0.00984854
+0.00838722
+0.00724803
+0.0065886
+0.00648983
+0.00690952
+0.00632977
+0.005804
+0.00575912
+0.00620565
+0.00654811
+0.00581666
+0.00553174
+0.00560729
+0.00628936
+0.00734053
+0.00778386
+0.00790475
+0.0085954
+0.00974037
+0.0112012
+0.0128311
+0.0146077
+0.0164842
+0.0184302
+0.0204257
+0.0224577
+0.0245171
+0.0265974
+0.0286942
+0.030804
+0.0329244
+0.0350535
+0.036387
+0.0363068
+0.0363587
+0.0365421
+0.0368538
+0.0372681
+0.0378051
+0.0720581
+0.0717229
+0.0714533
+0.0712501
+0.0711138
+0.071041
+0.0710265
+0.0710795
+0.0711999
+0.0713874
+0.0716414
+0.0719613
+0.0723461
+0.0727948
+0.0733062
+0.0738791
+0.074512
+0.0752035
+0.0759518
+0.0767554
+0.0760534
+0.0744803
+0.072939
+0.0714309
+0.0699578
+0.068523
+0.0671291
+0.0657786
+0.0644743
+0.063219
+0.0620157
+0.0608675
+0.0597776
+0.0587491
+0.0577855
+0.0568817
+0.0560431
+0.0552787
+0.0545915
+0.0536217
+0.051468
+0.0493175
+0.0471707
+0.0450282
+0.0428905
+0.0407585
+0.038633
+0.0365152
+0.0344066
+0.0323089
+0.0302244
+0.028156
+0.0261075
+0.024084
+0.0220771
+0.0201058
+0.0181849
+0.0163319
+0.014573
+0.0129465
+0.0114665
+0.0102026
+0.0092791
+0.00874067
+0.00866291
+0.00894543
+0.00840674
+0.00798904
+0.00794512
+0.00832809
+0.00852845
+0.00797025
+0.00771916
+0.00777543
+0.00829063
+0.00913539
+0.00962719
+0.00973084
+0.0102998
+0.0112729
+0.0125567
+0.014064
+0.0157147
+0.0174727
+0.0193194
+0.0212316
+0.0231931
+0.0251924
+0.0272211
+0.0292733
+0.0313442
+0.0334303
+0.0355291
+0.0376383
+0.0376579
+0.037708
+0.0378848
+0.0381867
+0.0385884
+0.0391072
+0.0736917
+0.0733639
+0.0731004
+0.0729018
+0.0727686
+0.0726975
+0.0726833
+0.0727351
+0.0728528
+0.073036
+0.0732843
+0.073597
+0.0739733
+0.0744122
+0.0749126
+0.0754733
+0.076093
+0.0767702
+0.0775034
+0.0780886
+0.0764946
+0.0749307
+0.0733989
+0.0719004
+0.0704371
+0.0690123
+0.0676285
+0.0662882
+0.0649941
+0.0637491
+0.062556
+0.0614179
+0.0603379
+0.0593191
+0.0583649
+0.0574702
+0.0566404
+0.0558841
+0.0552045
+0.054057
+0.0519214
+0.0497905
+0.047665
+0.0455458
+0.0434336
+0.0413295
+0.039235
+0.0371516
+0.0350812
+0.0330264
+0.0309902
+0.0289742
+0.0269732
+0.0250041
+0.0230749
+0.0211967
+0.0193841
+0.0176575
+0.0160446
+0.0145537
+0.0132222
+0.0121422
+0.0113591
+0.0109081
+0.0108431
+0.0110149
+0.0105115
+0.0101765
+0.0101332
+0.0104584
+0.0105907
+0.0101382
+0.00990801
+0.00995344
+0.0103609
+0.0110736
+0.0115746
+0.0116618
+0.0121406
+0.0129764
+0.014106
+0.015463
+0.016984
+0.0186388
+0.0203949
+0.0222249
+0.0241057
+0.026035
+0.0280028
+0.0300015
+0.0320253
+0.0340698
+0.0361314
+0.0382074
+0.0390817
+0.0391299
+0.0393004
+0.0395915
+0.0399851
+0.040486
+0.0753535
+0.0750331
+0.0747754
+0.0745813
+0.0744511
+0.0743816
+0.0743677
+0.0744184
+0.0745334
+0.0747125
+0.0749552
+0.075261
+0.075629
+0.0760583
+0.076548
+0.0770968
+0.0777035
+0.0783668
+0.0790852
+0.0785794
+0.0769956
+0.0754421
+0.0739209
+0.0724332
+0.0709809
+0.0695672
+0.0681947
+0.0668657
+0.065583
+0.0643494
+0.0631676
+0.0620407
+0.0609718
+0.0599638
+0.05902
+0.0581354
+0.0573152
+0.0565679
+0.0558966
+0.0545769
+0.0524624
+0.0503544
+0.0482538
+0.0461616
+0.0440789
+0.0420072
+0.0399482
+0.037904
+0.0358771
+0.0338651
+0.0318701
+0.0299024
+0.027968
+0.0260741
+0.0242303
+0.0224489
+0.020746
+0.0191426
+0.0176448
+0.0162713
+0.015092
+0.0141491
+0.0134618
+0.0130833
+0.0130268
+0.0131238
+0.0126422
+0.0123651
+0.0123218
+0.012591
+0.0126893
+0.0123142
+0.0120975
+0.012136
+0.0124724
+0.0130914
+0.0135832
+0.0136713
+0.0140819
+0.0148086
+0.0158078
+0.0170297
+0.0184218
+0.0199577
+0.0216069
+0.0233453
+0.0251544
+0.0270201
+0.0289296
+0.0308683
+0.0328388
+0.0348355
+0.0368544
+0.0388918
+0.0405738
+0.0406203
+0.0407845
+0.0410651
+0.0414506
+0.041934
+0.07704
+0.0767266
+0.0764746
+0.0762848
+0.0761575
+0.0760915
+0.0760779
+0.0761274
+0.0762399
+0.076415
+0.0766524
+0.0769514
+0.0773113
+0.0777314
+0.0782106
+0.0787478
+0.0793419
+0.0799916
+0.0806955
+0.0791279
+0.0775552
+0.0760132
+0.0745036
+0.0730278
+0.0715876
+0.0701861
+0.0688259
+0.0675094
+0.0662392
+0.065018
+0.0638486
+0.0627339
+0.061677
+0.0606807
+0.0597482
+0.0588746
+0.0580648
+0.0573274
+0.056665
+0.0551789
+0.0530884
+0.0510063
+0.0489337
+0.0468718
+0.0448221
+0.0427864
+0.0407668
+0.038758
+0.0367674
+0.0348008
+0.0328626
+0.0309582
+0.029094
+0.0272783
+0.0255217
+0.023837
+0.0222407
+0.0207379
+0.019336
+0.0180913
+0.0170385
+0.0162025
+0.0155886
+0.0152629
+0.0152111
+0.0152558
+0.0147904
+0.0145484
+0.0145105
+0.0147406
+0.0148146
+0.0144734
+0.0142874
+0.0143211
+0.0146072
+0.0151353
+0.0156407
+0.0157292
+0.0160874
+0.0167272
+0.0176179
+0.018722
+0.0199966
+0.0214199
+0.0229644
+0.024607
+0.0263296
+0.0281175
+0.0299588
+0.0318445
+0.0337669
+0.0357194
+0.0376909
+0.0396854
+0.0416996
+0.0421718
+0.04233
+0.0426005
+0.0429778
+0.0434442
+0.0787453
+0.0784387
+0.0781923
+0.0780066
+0.0778822
+0.0778192
+0.0778122
+0.0778606
+0.0779706
+0.0781418
+0.078374
+0.0786664
+0.0790186
+0.0794296
+0.0798986
+0.0804245
+0.0810063
+0.0816428
+0.0813223
+0.0797328
+0.0781723
+0.0766426
+0.0751457
+0.0736828
+0.0722556
+0.0708674
+0.0695205
+0.0682174
+0.0669606
+0.0657528
+0.0645967
+0.0634952
+0.0624511
+0.0614674
+0.060547
+0.0596817
+0.0588828
+0.0581556
+0.0575027
+0.0558604
+0.0537964
+0.0517428
+0.0497009
+0.0476722
+0.0456579
+0.0436521
+0.041665
+0.0396993
+0.0377583
+0.0358462
+0.0339677
+0.0321287
+0.0303366
+0.0286
+0.0269296
+0.0253387
+0.0238312
+0.0224085
+0.0211175
+0.0199839
+0.0190338
+0.0182766
+0.017731
+0.0174453
+0.0173557
+0.0174024
+0.0169495
+0.016731
+0.0166991
+0.0169007
+0.0169566
+0.016639
+0.0164775
+0.0165076
+0.0167565
+0.0172153
+0.0177254
+0.017814
+0.0181311
+0.018701
+0.0195018
+0.0205064
+0.0216788
+0.0229982
+0.0244431
+0.0259925
+0.0276288
+0.0293376
+0.0311068
+0.0329268
+0.0347895
+0.0366885
+0.0386183
+0.0405747
+0.0425537
+0.043778
+0.0439305
+0.0441911
+0.044558
+0.0450105
+0.0804742
+0.0801742
+0.0799331
+0.0797515
+0.0796298
+0.0795682
+0.0795669
+0.0796164
+0.0797239
+0.0798914
+0.0801185
+0.0804046
+0.0807491
+0.0811514
+0.0816105
+0.0821255
+0.0826953
+0.0833189
+0.0819696
+0.0803928
+0.0788454
+0.0773291
+0.0758457
+0.0743965
+0.0729833
+0.0716092
+0.0702765
+0.0689877
+0.0677452
+0.0665516
+0.0654097
+0.0643221
+0.0632917
+0.0623208
+0.061401
+0.0605456
+0.0597583
+0.0590419
+0.0583989
+0.0566185
+0.0545831
+0.0525603
+0.0505486
+0.0485472
+0.0465628
+0.0445977
+0.0426546
+0.0407367
+0.0388476
+0.0369918
+0.0351746
+0.0334021
+0.0316821
+0.0300234
+0.0284368
+0.0269236
+0.0254851
+0.0241599
+0.0229676
+0.0219299
+0.0210676
+0.0203719
+0.0198839
+0.0196296
+0.0195106
+0.0195433
+0.0191158
+0.0189155
+0.0188878
+0.0190679
+0.0191096
+0.0188105
+0.0186677
+0.0186951
+0.0189108
+0.0193198
+0.0198223
+0.0199142
+0.020203
+0.020716
+0.0214417
+0.0223593
+0.023445
+0.0246702
+0.0260224
+0.0274829
+0.0290354
+0.0306659
+0.0323626
+0.0341156
+0.0359167
+0.037759
+0.0396368
+0.0415453
+0.0434803
+0.0454331
+0.04558
+0.0458313
+0.0461852
+0.046627
+0.082225
+0.0819314
+0.0816955
+0.0815179
+0.0813988
+0.0813385
+0.0813373
+0.0813932
+0.0814984
+0.0816623
+0.0818844
+0.0821644
+0.0825016
+0.0828953
+0.0833448
+0.0838492
+0.0844074
+0.0842582
+0.0826698
+0.0811067
+0.0795731
+0.078071
+0.076602
+0.0751674
+0.0737689
+0.0724097
+0.0710921
+0.0698183
+0.0685908
+0.0674122
+0.0662851
+0.0652121
+0.0641946
+0.0632254
+0.0623181
+0.0614755
+0.0607003
+0.0599951
+0.0593624
+0.0574502
+0.0554406
+0.0534428
+0.0514607
+0.0494962
+0.0475514
+0.045629
+0.0437317
+0.0418632
+0.0400273
+0.0382288
+0.0364732
+0.0347671
+0.033118
+0.0315349
+0.0300171
+0.0285664
+0.0272149
+0.0259782
+0.0248732
+0.0239182
+0.0231262
+0.0224854
+0.0220442
+0.0218111
+0.0216727
+0.0216719
+0.0212871
+0.0211013
+0.0210766
+0.0212398
+0.0212703
+0.0209859
+0.020858
+0.0208833
+0.0210698
+0.0214413
+0.0219375
+0.0220206
+0.0222976
+0.0227635
+0.0234258
+0.0242685
+0.0252735
+0.0264181
+0.0276851
+0.0290622
+0.0305345
+0.0320889
+0.033714
+0.0354002
+0.0371391
+0.0389236
+0.0407477
+0.0426064
+0.0444954
+0.0464108
+0.0472735
+0.0475158
+0.0478573
+0.0482882
+0.0839965
+0.0837091
+0.0834783
+0.0833044
+0.0831879
+0.0831289
+0.0831277
+0.0831842
+0.0832927
+0.0834531
+0.0836705
+0.0839445
+0.0842746
+0.0846601
+0.0851002
+0.0855942
+0.0861411
+0.0849988
+0.0834218
+0.081873
+0.0803541
+0.0788668
+0.0774129
+0.0759936
+0.0746106
+0.073267
+0.0719651
+0.070707
+0.0694953
+0.0683323
+0.0672206
+0.0661599
+0.0651462
+0.0641913
+0.0632978
+0.0624684
+0.0617057
+0.0610121
+0.0603338
+0.058339
+0.0563588
+0.0543947
+0.0524485
+0.0505224
+0.0486187
+0.0467402
+0.04489
+0.0430717
+0.0412896
+0.0395485
+0.0378542
+0.0362132
+0.034633
+0.0331115
+0.031651
+0.0302787
+0.0290071
+0.02785
+0.0268223
+0.0259392
+0.0251995
+0.0246124
+0.02421
+0.0239659
+0.02384
+0.0238116
+0.023462
+0.023288
+0.0232656
+0.0234153
+0.0234366
+0.0231642
+0.0230484
+0.023072
+0.0232348
+0.0235745
+0.0240662
+0.024142
+0.0244091
+0.0248354
+0.0254439
+0.0262218
+0.0271546
+0.0282269
+0.0294171
+0.0307166
+0.0321131
+0.0335945
+0.0351501
+0.0367705
+0.0384475
+0.0401739
+0.0419437
+0.0437516
+0.0455932
+0.0474643
+0.0490065
+0.0492403
+0.0495698
+0.0499768
+0.0857874
+0.085506
+0.08528
+0.0851098
+0.0849958
+0.0849381
+0.0849369
+0.0849922
+0.0851038
+0.0852625
+0.0854753
+0.0857436
+0.0860667
+0.0864443
+0.0868754
+0.0873594
+0.0872662
+0.0857863
+0.084224
+0.0826902
+0.0811866
+0.0797148
+0.0782767
+0.0768733
+0.0755065
+0.0741791
+0.0728934
+0.0716517
+0.0704562
+0.0693093
+0.0682092
+0.067155
+0.0661566
+0.0652164
+0.0643372
+0.0635214
+0.0627714
+0.0620898
+0.0612569
+0.0592932
+0.0573459
+0.0554168
+0.0535079
+0.0516213
+0.0497597
+0.0479259
+0.0461232
+0.0443555
+0.0426271
+0.040943
+0.0393088
+0.0377311
+0.0362065
+0.034738
+0.0333488
+0.0320493
+0.0308508
+0.0297654
+0.0288061
+0.0279857
+0.0272908
+0.0267497
+0.0263799
+0.0261266
+0.0260112
+0.0259599
+0.0256396
+0.0254754
+0.0254549
+0.0255933
+0.025607
+0.0253446
+0.0252389
+0.025261
+0.0254042
+0.0257167
+0.0261777
+0.0262748
+0.0265258
+0.0269262
+0.0274884
+0.02821
+0.029079
+0.0300828
+0.0312067
+0.0324346
+0.0337601
+0.0351723
+0.036661
+0.0382174
+0.0398334
+0.0415023
+0.0432177
+0.0449745
+0.0467678
+0.0485938
+0.0504488
+0.0509973
+0.0513111
+0.0517024
+0.0875964
+0.0873209
+0.0870996
+0.086933
+0.0868213
+0.0867648
+0.0867637
+0.0868178
+0.0869271
+0.0870845
+0.0872929
+0.0875555
+0.0878721
+0.0882419
+0.0886642
+0.0891385
+0.0881195
+0.0866204
+0.0850734
+0.0835553
+0.0820675
+0.0806118
+0.07919
+0.0778039
+0.0764546
+0.075144
+0.0738752
+0.0726502
+0.0714714
+0.0703354
+0.0692442
+0.068206
+0.0672232
+0.0662982
+0.0654335
+0.0646315
+0.0638946
+0.063225
+0.0622434
+0.0603118
+0.0583986
+0.0565054
+0.0546345
+0.0527882
+0.0509693
+0.0491806
+0.0474256
+0.0457083
+0.044033
+0.0424048
+0.0408292
+0.039302
+0.0378268
+0.0364237
+0.0351013
+0.0338691
+0.0327372
+0.0317165
+0.030818
+0.0300501
+0.0293967
+0.028895
+0.028553
+0.028292
+0.0281854
+0.0281147
+0.0278192
+0.0276633
+0.0276444
+0.0277734
+0.0277806
+0.0275267
+0.0274294
+0.0274503
+0.0275769
+0.0278658
+0.0282941
+0.0284164
+0.0286486
+0.0290317
+0.0295538
+0.0302261
+0.0310388
+0.0319812
+0.0330421
+0.0342067
+0.0354661
+0.0368128
+0.0382377
+0.0397324
+0.0412892
+0.0429014
+0.0445631
+0.0462687
+0.0480138
+0.0497941
+0.051606
+0.0527792
+0.0530832
+0.0534621
+0.0894225
+0.0891526
+0.0889359
+0.0887727
+0.0886634
+0.0886081
+0.0886069
+0.0886599
+0.088767
+0.088922
+0.0891261
+0.0893833
+0.0896934
+0.0900557
+0.0904697
+0.0904396
+0.0890185
+0.0874924
+0.0859612
+0.084459
+0.0829874
+0.0815481
+0.0801429
+0.0787735
+0.0774419
+0.0761501
+0.0749
+0.0736939
+0.0725315
+0.0714067
+0.0703322
+0.0693103
+0.0683433
+0.0674337
+0.0665838
+0.0657958
+0.0650721
+0.0644148
+0.0632905
+0.0613918
+0.0595133
+0.0576567
+0.0558245
+0.0540189
+0.0522427
+0.0504992
+0.0487917
+0.0471242
+0.0455011
+0.0439273
+0.0423978
+0.040917
+0.0395021
+0.0381607
+0.0369006
+0.0357305
+0.0346595
+0.0336971
+0.0328527
+0.0321244
+0.0315141
+0.0310466
+0.0307162
+0.030461
+0.030362
+0.0302747
+0.0300005
+0.0298516
+0.0298341
+0.029955
+0.0299567
+0.0297101
+0.0296199
+0.0296398
+0.0297523
+0.0300203
+0.0304209
+0.0305649
+0.030781
+0.0311489
+0.0316362
+0.0322651
+0.0330276
+0.0339148
+0.034917
+0.0360247
+0.0372228
+0.0385081
+0.0398725
+0.041308
+0.0428076
+0.0443647
+0.0459734
+0.0476287
+0.0493256
+0.0510602
+0.0528287
+0.054591
+0.0548849
+0.0552526
+0.0912647
+0.0910002
+0.0907879
+0.0906281
+0.090521
+0.0904668
+0.0904657
+0.0905176
+0.0906224
+0.0907751
+0.090975
+0.0912271
+0.0915309
+0.091886
+0.0922917
+0.0913683
+0.0899531
+0.0884101
+0.086895
+0.0854093
+0.0839543
+0.082532
+0.0811438
+0.0797916
+0.0784773
+0.0772027
+0.07597
+0.0747812
+0.0736361
+0.0725285
+0.0714708
+0.0704654
+0.0695145
+0.0686204
+0.0677854
+0.0670115
+0.0663011
+0.0656561
+0.064395
+0.0625299
+0.0606866
+0.0588671
+0.0570737
+0.0553089
+0.0535755
+0.0518768
+0.0502162
+0.0485976
+0.0470254
+0.045494
+0.0440083
+0.0425835
+0.0412259
+0.0399423
+0.0387402
+0.0376274
+0.0366119
+0.0357022
+0.0349064
+0.0342133
+0.0336408
+0.0332033
+0.0328689
+0.0326305
+0.0325381
+0.0324388
+0.032183
+0.0320402
+0.032024
+0.0321378
+0.0321279
+0.0318944
+0.0318104
+0.0318291
+0.0319298
+0.0321796
+0.0325563
+0.0327191
+0.032921
+0.0332662
+0.0337322
+0.0343227
+0.0350405
+0.0358779
+0.0368268
+0.0378787
+0.0390234
+0.0402513
+0.0415585
+0.0429377
+0.0443822
+0.0458859
+0.0474431
+0.0490487
+0.0506982
+0.0523874
+0.0541125
+0.0558703
+0.056714
+0.057071
+0.0931219
+0.0928628
+0.0926547
+0.0924981
+0.0923932
+0.0923401
+0.092339
+0.0923899
+0.0924926
+0.092643
+0.0928389
+0.0930859
+0.0933837
+0.0937318
+0.0937617
+0.0923397
+0.0908988
+0.0893721
+0.0878736
+0.0864047
+0.0849668
+0.0835617
+0.0821909
+0.0808562
+0.0795595
+0.0783026
+0.0770874
+0.0759161
+0.0747886
+0.0736983
+0.0726577
+0.0716689
+0.0707342
+0.0698557
+0.0690356
+0.0682759
+0.0675788
+0.0669461
+0.0655542
+0.0637231
+0.0619153
+0.060133
+0.0583784
+0.0566543
+0.0549634
+0.0533089
+0.0516943
+0.0501235
+0.0485904
+0.0471005
+0.0456671
+0.0442956
+0.0429921
+0.0417629
+0.0406147
+0.0395547
+0.03859
+0.0377279
+0.0369751
+0.0363141
+0.0357753
+0.0353642
+0.0350222
+0.0347986
+0.034712
+0.0346062
+0.0343666
+0.0342292
+0.0342139
+0.0343216
+0.0342982
+0.0340796
+0.034001
+0.0340147
+0.034109
+0.034343
+0.0346985
+0.0348778
+0.0350673
+0.0353916
+0.0358395
+0.0363959
+0.0370736
+0.0378661
+0.0387663
+0.0397669
+0.0408606
+0.0420364
+0.0432897
+0.0446154
+0.0460073
+0.0474595
+0.0489667
+0.0505239
+0.0521267
+0.053771
+0.0554531
+0.0571697
+0.0585679
+0.0589148
+0.0949934
+0.0947393
+0.0945354
+0.0943819
+0.0942791
+0.0942271
+0.094226
+0.0942758
+0.0943765
+0.0945248
+0.0947168
+0.0949589
+0.0952508
+0.0955921
+0.0947591
+0.0933523
+0.0918869
+0.090377
+0.0888954
+0.0874436
+0.0860232
+0.0846355
+0.0832824
+0.0819655
+0.0806866
+0.0794476
+0.0782502
+0.0770965
+0.0759868
+0.0749139
+0.0738904
+0.0729184
+0.0719999
+0.071137
+0.0703318
+0.0695863
+0.0689024
+0.068282
+0.0667652
+0.0649682
+0.063196
+0.0614508
+0.059735
+0.0580512
+0.0564022
+0.0547912
+0.0532215
+0.0516871
+0.0501934
+0.0487525
+0.0473691
+0.0460484
+0.0447959
+0.0436175
+0.0425195
+0.0415081
+0.0405898
+0.0397712
+0.0390503
+0.038425
+0.0379162
+0.0375175
+0.0371799
+0.0369693
+0.0368878
+0.0367764
+0.036551
+0.0364183
+0.036404
+0.0365063
+0.0364709
+0.0362654
+0.0361915
+0.0362008
+0.0362894
+0.0365094
+0.0368465
+0.0370402
+0.0372187
+0.0375244
+0.0379543
+0.0384821
+0.0391237
+0.0398754
+0.0407313
+0.0416847
+0.0427294
+0.0438582
+0.0450609
+0.0463359
+0.0476776
+0.0490804
+0.0505393
+0.0520495
+0.0536067
+0.055207
+0.0568466
+0.0585223
+0.0602311
+0.0607815
+0.0899689
+0.0884816
+0.0870241
+0.0855935
+0.084189
+0.0828186
+0.081484
+0.0801871
+0.0788447
+0.0774402
+0.0760729
+0.0747448
+0.0734581
+0.0721997
+0.0709217
+0.0696301
+0.0683735
+0.0671649
+0.0660069
+0.0649022
+0.0638535
+0.0627614
+0.0616971
+0.0606917
+0.0597371
+0.0588467
+0.0579586
+0.0569533
+0.0560105
+0.0551319
+0.0543173
+0.0535799
+0.0528951
+0.0522325
+0.0516147
+0.0506022
+0.0496365
+0.0487337
+0.0479115
+0.0471598
+0.0464992
+0.0459337
+0.0454668
+0.0450701
+0.0447467
+0.0445289
+0.0443981
+0.0443744
+0.0444587
+0.0446504
+0.0449389
+0.045299
+0.0457418
+0.0462842
+0.0469226
+0.0476534
+0.0484721
+0.0493746
+0.0503534
+0.0514005
+0.0507565
+0.0500613
+0.0494535
+0.0489362
+0.0484803
+0.0480828
+0.047736
+0.0474878
+0.0473175
+0.0472312
+0.0472465
+0.0473436
+0.0469545
+0.0466429
+0.0464326
+0.0463251
+0.046305
+0.0463846
+0.0465671
+0.0468515
+0.0472359
+0.0477178
+0.0482945
+0.0489624
+0.0497179
+0.0505572
+0.0514761
+0.0520683
+0.0525623
+0.0531421
+0.0538049
+0.0545476
+0.0553672
+0.0562601
+0.057223
+0.0582525
+0.059345
+0.0604971
+0.0617055
+0.0629669
+0.0884667
+0.0869538
+0.0854701
+0.0840175
+0.0825906
+0.0811932
+0.0798315
+0.0785073
+0.0772226
+0.0758491
+0.0744526
+0.0730951
+0.0717787
+0.0705059
+0.0692397
+0.0679654
+0.0666775
+0.0654375
+0.0642484
+0.0631129
+0.062034
+0.0609854
+0.0598892
+0.0588529
+0.0578811
+0.0569619
+0.0560911
+0.0551193
+0.0541456
+0.053241
+0.052397
+0.0516322
+0.0509501
+0.0502619
+0.0496373
+0.04874
+0.0477559
+0.0468169
+0.0459632
+0.0451819
+0.044492
+0.0439006
+0.0434118
+0.0429962
+0.0426571
+0.0424285
+0.0422913
+0.0422663
+0.0423548
+0.0425561
+0.0428547
+0.0432248
+0.0436887
+0.0442562
+0.0449235
+0.0456862
+0.0465396
+0.0474743
+0.0484868
+0.0494909
+0.0486976
+0.0479755
+0.0473409
+0.0468003
+0.0463351
+0.0459301
+0.0455706
+0.0453105
+0.0451381
+0.0450477
+0.0450637
+0.0451654
+0.0448673
+0.0445411
+0.0443208
+0.0442082
+0.0441892
+0.0442725
+0.0444637
+0.0447615
+0.0451636
+0.0456675
+0.0462696
+0.0469664
+0.0477535
+0.0486267
+0.0495812
+0.0500038
+0.050518
+0.051121
+0.0518096
+0.0525806
+0.0534303
+0.0543551
+0.0553511
+0.0564147
+0.0575421
+0.0587296
+0.0599736
+0.0612707
+0.0869435
+0.0854547
+0.0839446
+0.0824651
+0.0810178
+0.079595
+0.0782054
+0.0768532
+0.0755404
+0.0742689
+0.0728621
+0.0714743
+0.0701276
+0.0688242
+0.0675664
+0.0662837
+0.065011
+0.0637386
+0.0625172
+0.0613496
+0.0602392
+0.059189
+0.0581076
+0.057039
+0.0560357
+0.0550998
+0.0542217
+0.0533011
+0.0523061
+0.0513714
+0.0504988
+0.0497048
+0.0489959
+0.0483102
+0.0476785
+0.0469061
+0.0458856
+0.0449194
+0.0440289
+0.0432245
+0.0425028
+0.0418834
+0.0413708
+0.0409344
+0.0405781
+0.0403377
+0.0401934
+0.0401671
+0.0402603
+0.0404719
+0.0407817
+0.0411627
+0.0416495
+0.0422444
+0.042943
+0.0437403
+0.0446244
+0.045595
+0.0466484
+0.0474731
+0.0466462
+0.0458994
+0.0452357
+0.0446696
+0.044193
+0.0437788
+0.0434078
+0.0431347
+0.04296
+0.0428649
+0.0428818
+0.0429884
+0.0427873
+0.042445
+0.0422139
+0.0420956
+0.0420809
+0.0421684
+0.0423691
+0.0426815
+0.0431031
+0.0436307
+0.0442606
+0.0449885
+0.0458096
+0.0467191
+0.0475096
+0.0479505
+0.0484865
+0.0491144
+0.0498308
+0.0506319
+0.0515138
+0.0524723
+0.0535035
+0.0546031
+0.0557671
+0.0569916
+0.0582727
+0.0596068
+0.0854018
+0.0839552
+0.0824491
+0.0809423
+0.0794672
+0.0780251
+0.0766075
+0.0752266
+0.0738848
+0.0725844
+0.0713006
+0.0698847
+0.0685067
+0.0671719
+0.065883
+0.0646239
+0.0633413
+0.0620706
+0.0608156
+0.0596148
+0.0584714
+0.0573888
+0.0563549
+0.0552524
+0.0542161
+0.0532497
+0.0523539
+0.0514641
+0.0504854
+0.0495258
+0.0486252
+0.0478
+0.0470625
+0.0463799
+0.0457279
+0.0451041
+0.0440419
+0.0430498
+0.0421197
+0.0412851
+0.0405345
+0.0398845
+0.0393459
+0.0388868
+0.0385115
+0.0382582
+0.0381059
+0.0380782
+0.0381765
+0.038399
+0.0387199
+0.0391146
+0.0396265
+0.0402514
+0.0409839
+0.0418099
+0.0427322
+0.0437448
+0.0448417
+0.0454679
+0.0446072
+0.0438345
+0.043139
+0.0425451
+0.0420559
+0.041626
+0.0412479
+0.0409604
+0.0407799
+0.040683
+0.0407008
+0.040813
+0.0407189
+0.0403591
+0.0401159
+0.0399914
+0.0399816
+0.0400736
+0.0402848
+0.0406132
+0.041056
+0.0416096
+0.0422696
+0.0430312
+0.043889
+0.0448374
+0.0454492
+0.0459099
+0.0464694
+0.0471242
+0.0478704
+0.0487038
+0.0496199
+0.0506144
+0.0516826
+0.0528201
+0.0540226
+0.0552857
+0.0566054
+0.0579779
+0.083889
+0.0824158
+0.0809752
+0.0794507
+0.0779474
+0.0764773
+0.0750395
+0.0736292
+0.0722578
+0.0709275
+0.0696408
+0.0683206
+0.0669183
+0.0655512
+0.0642297
+0.0629567
+0.0616801
+0.0604145
+0.059145
+0.0579096
+0.0567318
+0.0556154
+0.0545642
+0.0534959
+0.0524249
+0.0514249
+0.0505001
+0.0496368
+0.0486909
+0.0477048
+0.0467791
+0.0459208
+0.0451526
+0.0444738
+0.0437934
+0.043183
+0.0422313
+0.0412115
+0.0402393
+0.0393648
+0.0385901
+0.0379068
+0.0373397
+0.0368556
+0.0364594
+0.0361917
+0.0360307
+0.0360015
+0.0361053
+0.0363367
+0.0366662
+0.0370827
+0.0376224
+0.0382782
+0.0390384
+0.0399045
+0.0408698
+0.0419274
+0.0430706
+0.0434747
+0.0425834
+0.0417746
+0.0410522
+0.0404276
+0.0399136
+0.0394769
+0.0390914
+0.0387879
+0.0385992
+0.0385021
+0.0385208
+0.0386392
+0.0386639
+0.0382848
+0.0380284
+0.037897
+0.0378921
+0.0379897
+0.0382124
+0.0385584
+0.0390246
+0.0396066
+0.0402994
+0.0410975
+0.0419948
+0.04298
+0.0434016
+0.0438838
+0.0444688
+0.0451526
+0.0459309
+0.0467988
+0.0477515
+0.048784
+0.0498915
+0.0510689
+0.0523116
+0.0536151
+0.0549749
+0.0563871
+0.0823654
+0.0809065
+0.0794385
+0.0779869
+0.0764601
+0.0749609
+0.0734964
+0.072063
+0.0706612
+0.0693003
+0.0679827
+0.0667111
+0.0653517
+0.0639604
+0.0626095
+0.0613028
+0.0600477
+0.0587522
+0.0575056
+0.0562378
+0.0550243
+0.0538725
+0.0527866
+0.0517706
+0.050665
+0.0496296
+0.0486708
+0.0477801
+0.0468922
+0.0459061
+0.044964
+0.0440703
+0.0432693
+0.042566
+0.0418841
+0.0412668
+0.0404583
+0.0393926
+0.0383917
+0.0374742
+0.0366647
+0.0359538
+0.0353553
+0.0348437
+0.0344244
+0.0341408
+0.0339701
+0.033939
+0.0340492
+0.0342896
+0.0346275
+0.0350682
+0.0356363
+0.0363197
+0.03712
+0.0380298
+0.0390415
+0.0401473
+0.0413397
+0.0415014
+0.0405756
+0.0397272
+0.0389768
+0.0383184
+0.0377757
+0.037329
+0.036939
+0.0366177
+0.0364197
+0.0363224
+0.0363422
+0.0364675
+0.0366247
+0.0362243
+0.0359531
+0.0358142
+0.035809
+0.0359177
+0.0361532
+0.0365188
+0.0370106
+0.0376238
+0.0383524
+0.0391902
+0.0401299
+0.0409741
+0.0413687
+0.0418743
+0.042487
+0.0432022
+0.0440149
+0.0449198
+0.0459115
+0.0469846
+0.0481334
+0.0493528
+0.0506376
+0.0519831
+0.0533845
+0.0548279
+0.080835
+0.0793944
+0.077933
+0.0764704
+0.0750033
+0.0734785
+0.0719838
+0.0705255
+0.0690972
+0.0677048
+0.0663556
+0.0650522
+0.0637974
+0.0623953
+0.0610153
+0.0596836
+0.0583936
+0.0571256
+0.0558427
+0.0546028
+0.0533521
+0.0521634
+0.0510412
+0.0499897
+0.04894
+0.0478672
+0.0468724
+0.0459471
+0.0450749
+0.0441428
+0.043164
+0.0422507
+0.0414144
+0.0406791
+0.0400036
+0.039368
+0.0387281
+0.0376134
+0.0365821
+0.0356179
+0.0347653
+0.0340224
+0.0333893
+0.0328547
+0.0324097
+0.0321082
+0.0319267
+0.0318936
+0.0320108
+0.0322613
+0.0326003
+0.033068
+0.0336666
+0.0343892
+0.0352333
+0.0361906
+0.0372523
+0.0384096
+0.0396543
+0.039551
+0.0385787
+0.037696
+0.0369101
+0.0362188
+0.0356442
+0.0351842
+0.0347913
+0.03445
+0.0342416
+0.034144
+0.0341651
+0.0342982
+0.0345286
+0.0341799
+0.0338924
+0.033745
+0.0337394
+0.033855
+0.0341047
+0.034492
+0.0350123
+0.0356599
+0.0364278
+0.0373088
+0.0382946
+0.0389377
+0.0393527
+0.0398838
+0.0405266
+0.0412758
+0.0421257
+0.0430703
+0.0441037
+0.0452196
+0.0464121
+0.0476756
+0.0490044
+0.0503935
+0.0518289
+0.053308
+0.0793181
+0.0778673
+0.0764335
+0.0749697
+0.0735078
+0.0720293
+0.0705069
+0.0690174
+0.0675661
+0.0661434
+0.0647617
+0.0634256
+0.0621379
+0.0608688
+0.0594534
+0.0580861
+0.0567704
+0.0555049
+0.0542173
+0.0529545
+0.0517187
+0.0504916
+0.0493313
+0.0482426
+0.0472305
+0.0461416
+0.0451087
+0.0441466
+0.0432677
+0.0423854
+0.0413999
+0.0404645
+0.0395906
+0.0388207
+0.038155
+0.0374893
+0.0369009
+0.0358798
+0.0348118
+0.0338018
+0.0329021
+0.0321153
+0.0314439
+0.0308931
+0.0304193
+0.0300979
+0.0299042
+0.0298689
+0.029994
+0.0302486
+0.0305957
+0.0310936
+0.0317259
+0.0324917
+0.0333839
+0.0343926
+0.0355081
+0.0367205
+0.0380205
+0.0376254
+0.0366037
+0.0356836
+0.0348524
+0.0341307
+0.0335203
+0.0330441
+0.032643
+0.0322854
+0.0320651
+0.0319668
+0.0319899
+0.0321318
+0.0323724
+0.0321549
+0.0318491
+0.0316921
+0.0316862
+0.0318092
+0.0320749
+0.0324864
+0.0330383
+0.0337238
+0.0345348
+0.0354629
+0.0364985
+0.0369189
+0.0373563
+0.0379155
+0.038591
+0.0393771
+0.0402671
+0.0412543
+0.042332
+0.0434934
+0.044732
+0.0460415
+0.0474162
+0.0488422
+0.0503138
+0.0518362
+0.0778187
+0.0763554
+0.0749101
+0.0734839
+0.0720128
+0.0705569
+0.0690663
+0.0675466
+0.0660631
+0.0646184
+0.0632036
+0.0618338
+0.0605123
+0.0592423
+0.0579322
+0.0565281
+0.0551753
+0.0538777
+0.052633
+0.0513312
+0.0500915
+0.0488607
+0.0476607
+0.046533
+0.0454828
+0.044457
+0.043384
+0.0423829
+0.0414666
+0.0405911
+0.0396782
+0.0387106
+0.0378057
+0.0369987
+0.0363061
+0.0356463
+0.0350419
+0.0341987
+0.0330764
+0.0320325
+0.0310816
+0.0302466
+0.0295328
+0.0289642
+0.0284584
+0.0281146
+0.0279071
+0.0278693
+0.0280033
+0.028247
+0.0286184
+0.0291487
+0.0298199
+0.0306333
+0.0315781
+0.0326427
+0.0338159
+0.0350868
+0.0364452
+0.0357223
+0.0346546
+0.0336834
+0.032812
+0.0320561
+0.0314055
+0.0308968
+0.0304906
+0.0301246
+0.02989
+0.0297854
+0.029817
+0.0299689
+0.0302211
+0.030153
+0.0298267
+0.029659
+0.0296527
+0.0297841
+0.0300676
+0.0305062
+0.0310933
+0.0318207
+0.032679
+0.0336583
+0.0345915
+0.0349208
+0.035383
+0.0359728
+0.0366842
+0.0375102
+0.0384434
+0.0394763
+0.0406012
+0.0418107
+0.0430977
+0.0444554
+0.0458703
+0.0473329
+0.04885
+0.0504166
+0.0763493
+0.074861
+0.073404
+0.0719647
+0.070547
+0.0690675
+0.0676006
+0.0661156
+0.0645993
+0.0631225
+0.0616839
+0.0602795
+0.0589232
+0.0576182
+0.0563682
+0.0550133
+0.0536223
+0.0522861
+0.051009
+0.0497514
+0.0484713
+0.0472581
+0.0460338
+0.0448652
+0.0437751
+0.0427657
+0.041703
+0.0406607
+0.0397047
+0.0388375
+0.0379605
+0.0369935
+0.0360656
+0.0352188
+0.0344905
+0.0338401
+0.0332192
+0.0325742
+0.031398
+0.0303129
+0.0293104
+0.028424
+0.0276631
+0.0270587
+0.0265334
+0.0261644
+0.0259413
+0.0259006
+0.026042
+0.0262756
+0.0266744
+0.0272385
+0.0279556
+0.0288217
+0.0298239
+0.0309489
+0.0321839
+0.0335168
+0.0349362
+0.033854
+0.0327315
+0.0317062
+0.0307921
+0.0299854
+0.029302
+0.0287561
+0.0283396
+0.0279685
+0.0277163
+0.0276053
+0.0276468
+0.0278103
+0.028076
+0.0281791
+0.0278297
+0.02765
+0.0276432
+0.0277841
+0.0280878
+0.0285568
+0.0291832
+0.029957
+0.0308672
+0.0319021
+0.032598
+0.0329473
+0.0334367
+0.0340603
+0.0348107
+0.0356801
+0.03666
+0.0377417
+0.0389168
+0.040177
+0.0415147
+0.0429163
+0.0443681
+0.0458786
+0.0474422
+0.0490538
+0.0749152
+0.0733979
+0.0719152
+0.0704651
+0.0690328
+0.06761
+0.0661361
+0.0646573
+0.0631777
+0.0616668
+0.0601978
+0.0587659
+0.0573738
+0.0560327
+0.0547466
+0.0535192
+0.0521151
+0.0507392
+0.0494222
+0.0481688
+0.0468975
+0.0456425
+0.0444554
+0.0432441
+0.0421121
+0.0410658
+0.040048
+0.0389856
+0.0379875
+0.0370921
+0.0362122
+0.0353288
+0.0343709
+0.0334876
+0.0327208
+0.0320698
+0.0314435
+0.0308523
+0.0297829
+0.0286438
+0.0275858
+0.0266539
+0.025844
+0.025196
+0.0246529
+0.0242552
+0.0240144
+0.0239704
+0.024104
+0.0243417
+0.0247717
+0.0253737
+0.026142
+0.0270662
+0.028131
+0.029321
+0.0306218
+0.0320197
+0.0333123
+0.0320266
+0.0308377
+0.0297589
+0.0287892
+0.027933
+0.0272122
+0.0266234
+0.0261917
+0.0258181
+0.0255448
+0.0254271
+0.0254802
+0.0256568
+0.0259384
+0.0262398
+0.0258642
+0.0256707
+0.0256634
+0.0258151
+0.0261417
+0.026645
+0.0273152
+0.0281404
+0.0291075
+0.0302027
+0.0306315
+0.0310029
+0.0315225
+0.0321832
+0.0329764
+0.0338929
+0.0349229
+0.0360568
+0.037285
+0.0385986
+0.0399841
+0.0414228
+0.0429252
+0.0444847
+0.0460956
+0.0477527
+0.0735185
+0.0719717
+0.070459
+0.0689828
+0.0675405
+0.066116
+0.0646868
+0.0632207
+0.0617291
+0.0602556
+0.0587513
+0.0572913
+0.0558673
+0.0544892
+0.0531657
+0.0519009
+0.0506578
+0.0492412
+0.047883
+0.0465883
+0.0453624
+0.0440766
+0.0428509
+0.0416752
+0.0404993
+0.0394102
+0.038399
+0.0373541
+0.0363115
+0.0353741
+0.0345144
+0.0336468
+0.0327196
+0.031813
+0.0310048
+0.0303127
+0.0297051
+0.0290971
+0.0282252
+0.0270378
+0.025931
+0.0249374
+0.0240868
+0.0233902
+0.0228076
+0.0223772
+0.0221337
+0.0220798
+0.0221971
+0.0224551
+0.0229201
+0.0235651
+0.0243904
+0.0253784
+0.0265111
+0.0277707
+0.0291407
+0.0305977
+0.0315763
+0.0302475
+0.0289857
+0.0278392
+0.0268091
+0.0259033
+0.0251305
+0.024501
+0.0240459
+0.0236752
+0.0233768
+0.0232513
+0.0233172
+0.023508
+0.0238106
+0.0242083
+0.0239377
+0.0237285
+0.0237206
+0.0238847
+0.0242373
+0.0247793
+0.0254986
+0.0263807
+0.02741
+0.0284649
+0.0286975
+0.0290936
+0.0296467
+0.0303482
+0.0311881
+0.0321556
+0.0332395
+0.0344289
+0.0357131
+0.0370789
+0.0385015
+0.0399936
+0.0415477
+0.043157
+0.0448157
+0.0465183
+0.0721424
+0.0705846
+0.0690416
+0.0675344
+0.0660654
+0.0646321
+0.0632164
+0.0617807
+0.0603234
+0.0588184
+0.0573521
+0.0558555
+0.0544058
+0.0529913
+0.0516294
+0.050326
+0.0490859
+0.0477967
+0.0463962
+0.0450588
+0.0437901
+0.0425658
+0.0412953
+0.0401044
+0.038943
+0.0378091
+0.0367708
+0.0357437
+0.0346866
+0.033704
+0.0328383
+0.0319603
+0.0311018
+0.0301936
+0.0293513
+0.0286113
+0.0280105
+0.0274046
+0.0267548
+0.0255004
+0.024361
+0.0233006
+0.0224028
+0.0216528
+0.021014
+0.020546
+0.0202727
+0.0202139
+0.0203475
+0.0206286
+0.0211286
+0.0218265
+0.0227151
+0.0237729
+0.0249785
+0.0263115
+0.0277434
+0.02926
+0.0299001
+0.0284984
+0.0271841
+0.0259582
+0.0248643
+0.0238968
+0.0230623
+0.0223918
+0.0218928
+0.021527
+0.0212135
+0.0210785
+0.0211521
+0.0213662
+0.0216952
+0.022131
+0.0220602
+0.021833
+0.0218244
+0.0220031
+0.0223854
+0.0229711
+0.0237453
+0.0246901
+0.0257869
+0.0265538
+0.0268029
+0.0272266
+0.0278169
+0.0285634
+0.0294542
+0.0304768
+0.0316184
+0.0328664
+0.0342072
+0.0356101
+0.0370891
+0.0386358
+0.0402423
+0.0419018
+0.0436082
+0.0453563
+0.0706899
+0.0692096
+0.0676654
+0.0661269
+0.0646259
+0.0631653
+0.0617421
+0.0603366
+0.0588941
+0.0574255
+0.0559278
+0.0544699
+0.0529825
+0.051543
+0.0501418
+0.0487987
+0.0475187
+0.046307
+0.0449671
+0.0435858
+0.0422729
+0.0410298
+0.0397996
+0.0385625
+0.0374129
+0.0362697
+0.035186
+0.0341621
+0.0331268
+0.0320965
+0.0311863
+0.0303351
+0.0294984
+0.0286368
+0.0277607
+0.0269806
+0.0263387
+0.0257873
+0.0252539
+0.0240644
+0.0228667
+0.0217613
+0.0207978
+0.0199881
+0.0192962
+0.0187919
+0.0184842
+0.0184197
+0.018572
+0.0188797
+0.0194191
+0.0201762
+0.0211343
+0.0222673
+0.0235501
+0.0249474
+0.0264428
+0.0280299
+0.0282943
+0.0268088
+0.0254255
+0.0241295
+0.0229496
+0.0219126
+0.0210189
+0.0202967
+0.0197481
+0.019371
+0.0190565
+0.0189099
+0.0189928
+0.0192326
+0.0195964
+0.0200778
+0.0202414
+0.0199935
+0.0199841
+0.020184
+0.0206001
+0.0212351
+0.0220702
+0.0230837
+0.0242533
+0.0246892
+0.0249569
+0.0254114
+0.0260429
+0.0268387
+0.027785
+0.0288668
+0.0300695
+0.0313781
+0.0327565
+0.0342187
+0.0357553
+0.0373572
+0.0390164
+0.0407259
+0.0424796
+0.0442722
+0.0692601
+0.0677703
+0.0662919
+0.0647629
+0.0632296
+0.0617359
+0.0602849
+0.0588732
+0.0574795
+0.0560301
+0.054549
+0.0530606
+0.0516128
+0.0501364
+0.048703
+0.0473222
+0.0460011
+0.0447484
+0.0435698
+0.0421752
+0.040817
+0.039528
+0.0383089
+0.0370859
+0.035889
+0.034789
+0.0336683
+0.0326463
+0.0315989
+0.0305617
+0.0296043
+0.0287821
+0.027911
+0.0270801
+0.0262421
+0.0254342
+0.0247346
+0.024188
+0.0236809
+0.0227228
+0.0214781
+0.0203228
+0.0193082
+0.0184339
+0.0176812
+0.0171295
+0.0167913
+0.0167202
+0.0168879
+0.0172301
+0.0178152
+0.0186376
+0.0196708
+0.0208833
+0.0222315
+0.0236959
+0.0252656
+0.0269221
+0.0266392
+0.0251964
+0.0237192
+0.0223594
+0.0210876
+0.0199684
+0.0190065
+0.0182066
+0.0176147
+0.0172172
+0.0169081
+0.0167471
+0.0168416
+0.017105
+0.0175201
+0.0180476
+0.0185032
+0.0182318
+0.0182215
+0.0184454
+0.0188998
+0.01959
+0.0204923
+0.02158
+0.0228015
+0.0228824
+0.0231711
+0.0236599
+0.0243368
+0.0251867
+0.0261926
+0.0273375
+0.0286043
+0.0299516
+0.0313915
+0.0329143
+0.034509
+0.0361662
+0.0378776
+0.0396362
+0.0414361
+0.0432719
+0.0678699
+0.066349
+0.0648663
+0.0633913
+0.0618793
+0.0603522
+0.0588671
+0.0574225
+0.0560214
+0.0546393
+0.0531924
+0.0516982
+0.0502208
+0.0487852
+0.0473109
+0.0458885
+0.0445279
+0.0432325
+0.0420114
+0.0408298
+0.039425
+0.038093
+0.0368265
+0.0356497
+0.0344247
+0.0332763
+0.0322038
+0.0311355
+0.0301172
+0.029095
+0.0280876
+0.0272197
+0.0264004
+0.0255871
+0.0248006
+0.0239725
+0.0232258
+0.0226466
+0.0221845
+0.0215055
+0.0202003
+0.019001
+0.0179354
+0.0170202
+0.016202
+0.0155981
+0.0152259
+0.0151474
+0.0153323
+0.0157084
+0.0163482
+0.0172407
+0.0183526
+0.0196292
+0.0210467
+0.022588
+0.0242295
+0.0255175
+0.0248463
+0.0235667
+0.0220986
+0.0206323
+0.0192947
+0.0180648
+0.0170173
+0.0161431
+0.0154972
+0.015059
+0.0147655
+0.0145925
+0.0147021
+0.014993
+0.0154568
+0.0160532
+0.0167947
+0.0165727
+0.0165614
+0.0168005
+0.0172982
+0.0180498
+0.0190252
+0.0201921
+0.021041
+0.0211484
+0.0214604
+0.0219872
+0.0227141
+0.0236224
+0.0246922
+0.0259034
+0.0272103
+0.0286204
+0.030124
+0.0317077
+0.0333602
+0.0350717
+0.036834
+0.0386402
+0.0404843
+0.0423615
+0.0665185
+0.0649659
+0.063451
+0.0619765
+0.0605103
+0.0590148
+0.0574978
+0.0560179
+0.0545808
+0.053195
+0.0518264
+0.0503853
+0.0488775
+0.0474135
+0.045981
+0.0445161
+0.0431128
+0.0417765
+0.0405115
+0.039328
+0.0380959
+0.0367172
+0.0354175
+0.0341923
+0.0330253
+0.0318395
+0.0307507
+0.0297077
+0.0287009
+0.0276968
+0.0266528
+0.0257365
+0.0249736
+0.0241606
+0.0233486
+0.0225911
+0.0218328
+0.0212148
+0.0207876
+0.0203845
+0.0190739
+0.0178239
+0.0167123
+0.0157506
+0.0148709
+0.0142302
+0.0138187
+0.0137408
+0.0139456
+0.0143608
+0.0150579
+0.0160224
+0.0171922
+0.0185372
+0.0200321
+0.0216458
+0.0233536
+0.023675
+0.0229494
+0.0219713
+0.0205019
+0.0190009
+0.0175492
+0.0162338
+0.0150726
+0.014118
+0.013382
+0.0129037
+0.0126063
+0.0124494
+0.0125802
+0.0129073
+0.0134321
+0.0141102
+0.0149253
+0.0150117
+0.0149992
+0.0152931
+0.0158382
+0.0166558
+0.0177082
+0.0189564
+0.0193546
+0.0194964
+0.0198387
+0.0204084
+0.0211898
+0.022161
+0.0232982
+0.024554
+0.0259235
+0.0274
+0.028967
+0.0306106
+0.0323192
+0.0340831
+0.0358939
+0.0377451
+0.0396309
+0.0415466
+0.0651313
+0.0636282
+0.0620807
+0.0605728
+0.0591077
+0.0576518
+0.0561633
+0.0546651
+0.0531914
+0.0517684
+0.0504006
+0.049048
+0.0475971
+0.0460924
+0.044639
+0.0432113
+0.0417642
+0.0403841
+0.0390769
+0.0378486
+0.03671
+0.035422
+0.034076
+0.0328165
+0.0316423
+0.030483
+0.0293538
+0.028339
+0.0273352
+0.0263125
+0.0253159
+0.0243602
+0.0235588
+0.0227902
+0.0220082
+0.0213149
+0.0205357
+0.0198962
+0.0194659
+0.0191334
+0.0181225
+0.0168257
+0.0156771
+0.0146731
+0.0137245
+0.013028
+0.0126072
+0.0125196
+0.0127427
+0.0132262
+0.0139934
+0.015001
+0.0162324
+0.0176507
+0.0192147
+0.0208916
+0.0226564
+0.0218829
+0.0211094
+0.0204548
+0.0189112
+0.0174489
+0.0159033
+0.0144726
+0.0131902
+0.0121246
+0.011287
+0.0107608
+0.01046
+0.0103116
+0.0104705
+0.010863
+0.0114644
+0.0122313
+0.0131313
+0.0136067
+0.013593
+0.0139281
+0.0145626
+0.0154478
+0.0165771
+0.0178918
+0.0177784
+0.0179259
+0.0182976
+0.0189133
+0.019754
+0.0207925
+0.0220007
+0.0233265
+0.024764
+0.0263056
+0.0279341
+0.0296351
+0.0313968
+0.0332097
+0.0350657
+0.0369584
+0.0388814
+0.0408311
+0.0637705
+0.0622537
+0.0607584
+0.0592169
+0.0577174
+0.0562632
+0.0548169
+0.0533357
+0.0518573
+0.0503967
+0.0489906
+0.0476437
+0.0463096
+0.0448395
+0.0433421
+0.0419011
+0.0404892
+0.0390641
+0.0377125
+0.0364409
+0.0352568
+0.0341691
+0.0328228
+0.031518
+0.0303091
+0.0291985
+0.0280528
+0.0269951
+0.026068
+0.0250302
+0.0240862
+0.0231056
+0.0222617
+0.0215558
+0.0207928
+0.0200624
+0.0193788
+0.0187169
+0.0182686
+0.0180078
+0.0173532
+0.016056
+0.0148569
+0.0138321
+0.0128522
+0.0121059
+0.0116598
+0.0115686
+0.0118139
+0.0123186
+0.0131478
+0.0142205
+0.0155139
+0.0169924
+0.0186117
+0.0203376
+0.0211699
+0.0201623
+0.0193428
+0.0187015
+0.0174037
+0.0158611
+0.0144034
+0.0128061
+0.0114075
+0.0101795
+0.00923639
+0.00864119
+0.00830506
+0.00817561
+0.00839113
+0.00886621
+0.00956789
+0.0104742
+0.0114703
+0.0124255
+0.0124105
+0.0127767
+0.0134932
+0.0144516
+0.015653
+0.0164678
+0.0163445
+0.0164974
+0.0168994
+0.0175642
+0.0184664
+0.0195733
+0.0208523
+0.0222475
+0.0237504
+0.0253537
+0.0270396
+0.0287935
+0.0306037
+0.0324603
+0.0343553
+0.0362836
+0.0382402
+0.0402209
+0.0624482
+0.0609057
+0.0593983
+0.0579106
+0.056378
+0.0548883
+0.0534469
+0.0520084
+0.0505398
+0.0490845
+0.0476396
+0.0462534
+0.0449313
+0.0436099
+0.0421187
+0.0406344
+0.0392165
+0.037825
+0.0364274
+0.035111
+0.0338831
+0.0327532
+0.0316697
+0.0303174
+0.0290654
+0.0279206
+0.0268293
+0.0257511
+0.0247996
+0.023863
+0.022889
+0.0219674
+0.0210919
+0.0203976
+0.0197203
+0.0189807
+0.0183928
+0.0177297
+0.0172591
+0.0170156
+0.0167747
+0.0155079
+0.0143265
+0.0132621
+0.012304
+0.0115315
+0.0110619
+0.0109657
+0.0112242
+0.0117542
+0.0126206
+0.0137345
+0.0150697
+0.0165878
+0.0182431
+0.0200008
+0.0196322
+0.0185412
+0.0176557
+0.016967
+0.0160425
+0.0143727
+0.0128038
+0.0113196
+0.00970927
+0.00834362
+0.00723977
+0.00649489
+0.00614468
+0.00603686
+0.00633365
+0.00695077
+0.00782471
+0.00889214
+0.00997098
+0.0111609
+0.0114911
+0.0119
+0.0126662
+0.0137054
+0.0149667
+0.0152269
+0.0150935
+0.0152509
+0.0156836
+0.0163977
+0.0173606
+0.0185337
+0.0198797
+0.0213396
+0.0229021
+0.0245609
+0.0262976
+0.028096
+0.0299466
+0.0318405
+0.0337703
+0.0357302
+0.0377155
+0.0397224
+0.0611694
+0.0595939
+0.0580583
+0.0565658
+0.055086
+0.0535677
+0.0520899
+0.0506636
+0.0492346
+0.0477812
+0.0463529
+0.044927
+0.0435647
+0.042272
+0.0409629
+0.0394487
+0.0379865
+0.0365971
+0.0352319
+0.033869
+0.0325965
+0.0314228
+0.0303594
+0.0292319
+0.0279312
+0.026747
+0.0256746
+0.0246027
+0.023617
+0.0227735
+0.0218275
+0.0209664
+0.020076
+0.0193635
+0.018748
+0.0180792
+0.0175271
+0.0169226
+0.0164403
+0.016193
+0.0160698
+0.0152085
+0.0140551
+0.0130177
+0.0120641
+0.0112879
+0.010812
+0.010714
+0.0110161
+0.0115617
+0.0124414
+0.0135886
+0.0149369
+0.0164672
+0.0181335
+0.0195756
+0.0182284
+0.0170478
+0.0160804
+0.0153495
+0.0148117
+0.0130479
+0.0113434
+0.00977076
+0.00823747
+0.00661368
+0.0052965
+0.00439263
+0.00399588
+0.00393002
+0.00439234
+0.00521939
+0.00635298
+0.00755686
+0.00875665
+0.00997311
+0.0107227
+0.0113044
+0.012131
+0.013241
+0.0145682
+0.0142089
+0.0140658
+0.0142342
+0.0146955
+0.0154553
+0.0164735
+0.0177054
+0.0191098
+0.0206252
+0.0222365
+0.0239392
+0.0257159
+0.0275522
+0.0294371
+0.0313618
+0.0333193
+0.0353042
+0.0373122
+0.0393396
+0.0599342
+0.0583348
+0.0567652
+0.0552378
+0.0537563
+0.0522923
+0.0507894
+0.0493272
+0.0479189
+0.0465018
+0.0450668
+0.0436703
+0.0422674
+0.0409338
+0.0396764
+0.0383516
+0.0368459
+0.0354118
+0.0340582
+0.0327266
+0.0314079
+0.0301906
+0.0290846
+0.0280465
+0.0269189
+0.0256881
+0.0245669
+0.0235429
+0.0225736
+0.0216895
+0.0209076
+0.0200161
+0.0192268
+0.0184873
+0.0179596
+0.0173954
+0.0168474
+0.016311
+0.0158331
+0.0156106
+0.0154976
+0.0151586
+0.0141113
+0.0130902
+0.0122187
+0.011453
+0.0109842
+0.0108878
+0.0111807
+0.0117229
+0.0125913
+0.0137464
+0.0150806
+0.0165977
+0.0182521
+0.0184202
+0.016992
+0.0157188
+0.0146639
+0.0138773
+0.0132857
+0.0118715
+0.0101158
+0.00835319
+0.00679667
+0.00515843
+0.00352253
+0.00235734
+0.00188166
+0.00190396
+0.00270082
+0.00386864
+0.00525288
+0.00662709
+0.00789893
+0.00907554
+0.0100705
+0.0109785
+0.0119264
+0.0131015
+0.0139356
+0.0134727
+0.0133217
+0.0134992
+0.0139836
+0.01478
+0.0158416
+0.0171191
+0.0185679
+0.020119
+0.021767
+0.0235037
+0.025311
+0.0271747
+0.0290841
+0.0310306
+0.0330078
+0.0350104
+0.0370343
+0.0390762
+0.0586711
+0.0571134
+0.0555284
+0.0539661
+0.0524487
+0.0509803
+0.0495348
+0.0480458
+0.0466068
+0.0452199
+0.0438176
+0.0424049
+0.0410462
+0.0396715
+0.0383728
+0.0371521
+0.0358031
+0.0343254
+0.0329273
+0.0316192
+0.0303311
+0.0290688
+0.0279216
+0.0269004
+0.0258445
+0.0247755
+0.023611
+0.0225436
+0.0216459
+0.0207807
+0.0200574
+0.0192578
+0.01854
+0.0178121
+0.0172856
+0.0168402
+0.0163704
+0.0159005
+0.0154647
+0.015256
+0.0151162
+0.0151226
+0.0143844
+0.0135133
+0.0127156
+0.0119786
+0.0115601
+0.0114712
+0.0117376
+0.0122791
+0.0131108
+0.0142238
+0.015517
+0.0169951
+0.0186143
+0.0174537
+0.0159475
+0.014599
+0.0134567
+0.0125664
+0.0119277
+0.0108137
+0.00902087
+0.007226
+0.00546805
+0.00397125
+0.00213088
+0.00046236
+-0.00019568
+0.00023896
+0.00158392
+0.00312986
+0.00473208
+0.00619026
+0.00751455
+0.00865252
+0.00976875
+0.0108363
+0.0119814
+0.0132171
+0.0134745
+0.0130119
+0.0128555
+0.0130697
+0.0135912
+0.0144093
+0.0154886
+0.0167816
+0.0182468
+0.0198411
+0.0215114
+0.0232672
+0.0250915
+0.0269704
+0.0288933
+0.0308519
+0.0328398
+0.0348521
+0.0368847
+0.0389344
+0.0573975
+0.0558573
+0.0543223
+0.0527547
+0.0512014
+0.0496962
+0.0482435
+0.04682
+0.0453476
+0.0439349
+0.0425753
+0.0411916
+0.0398063
+0.0384926
+0.0371527
+0.0358965
+0.0346978
+0.0333478
+0.0319069
+0.0305551
+0.0293011
+0.0280734
+0.0268838
+0.0258254
+0.024832
+0.0238426
+0.0228259
+0.0217199
+0.0207867
+0.0200504
+0.0193075
+0.0186899
+0.0179506
+0.0173455
+0.0168328
+0.0165264
+0.0161629
+0.0157062
+0.015366
+0.015156
+0.0150153
+0.0150334
+0.014945
+0.0142073
+0.0134605
+0.0128398
+0.0124386
+0.0123535
+0.0126064
+0.0131173
+0.0138989
+0.0149631
+0.0162242
+0.0176569
+0.018393
+0.0167127
+0.015133
+0.0137141
+0.0124981
+0.0115151
+0.010819
+0.00993265
+0.00821727
+0.00637612
+0.00452212
+0.00279056
+0.00135618
+-0.00065525
+-0.00200716
+-0.000409411
+0.00144694
+0.00323915
+0.00494251
+0.00639804
+0.00763511
+0.00871496
+0.00988555
+0.0110709
+0.0122417
+0.0135618
+0.013345
+0.0128945
+0.0127367
+0.0129529
+0.0134853
+0.0143084
+0.0153902
+0.0166908
+0.0181633
+0.0197679
+0.0214447
+0.0232056
+0.0250344
+0.0269173
+0.0288437
+0.0308054
+0.0327962
+0.0348109
+0.0368458
+0.0388976
+0.0561156
+0.0546057
+0.0530751
+0.051556
+0.050019
+0.0484771
+0.0469867
+0.045553
+0.0441468
+0.0427037
+0.0413171
+0.0399958
+0.0386355
+0.037284
+0.036014
+0.0347277
+0.0335211
+0.0323177
+0.031007
+0.0296151
+0.0283195
+0.0271289
+0.0259801
+0.024877
+0.0239178
+0.0229512
+0.0220865
+0.0210926
+0.0201303
+0.0193691
+0.018748
+0.0182025
+0.0175965
+0.0170976
+0.0166235
+0.0163612
+0.0161012
+0.0157966
+0.0155333
+0.0153229
+0.0152321
+0.0152499
+0.015373
+0.0151029
+0.0144922
+0.0139791
+0.0136139
+0.0135363
+0.0137702
+0.0142392
+0.0149623
+0.0159557
+0.017144
+0.0185138
+0.0179606
+0.0162357
+0.0146045
+0.0131285
+0.0118527
+0.0108059
+0.00997379
+0.00939596
+0.00760345
+0.00588519
+0.00397189
+0.00211516
+0.000306957
+-0.00105408
+-0.00154937
+0.000317574
+0.00218603
+0.00396485
+0.00575294
+0.00716339
+0.00809751
+0.00881112
+0.00988348
+0.0112728
+0.0127825
+0.0140997
+0.0135112
+0.0130995
+0.0129916
+0.0132036
+0.0137243
+0.0145344
+0.0156018
+0.0168861
+0.0183429
+0.0199331
+0.0215971
+0.0233465
+0.025165
+0.0270388
+0.0289571
+0.0309117
+0.032896
+0.034905
+0.0369347
+0.0389818
+0.054856
+0.0533402
+0.0518466
+0.0503299
+0.0488294
+0.0473241
+0.0458003
+0.0443282
+0.0429175
+0.0415271
+0.0401247
+0.0387684
+0.037486
+0.0361262
+0.0348361
+0.033616
+0.0323646
+0.0312105
+0.0300247
+0.0287765
+0.0274778
+0.0262491
+0.0251515
+0.0240693
+0.0230831
+0.0221654
+0.0213193
+0.0205504
+0.0196969
+0.0189183
+0.018324
+0.0178232
+0.0174662
+0.0169724
+0.0166309
+0.0163962
+0.0163133
+0.0161857
+0.015975
+0.0157422
+0.0157535
+0.0157291
+0.0158449
+0.0161092
+0.0157261
+0.0152829
+0.0150186
+0.0149482
+0.0151385
+0.0155771
+0.0162525
+0.0171715
+0.0182812
+0.0195717
+0.0177839
+0.01604
+0.0143901
+0.0128921
+0.0115858
+0.0104384
+0.00947411
+0.00869656
+0.00703882
+0.00549132
+0.00384706
+0.00206575
+0.000357481
+-0.000876147
+-0.000427024
+0.00105795
+0.00301062
+0.00392643
+0.0048071
+0.00579784
+0.00631402
+0.00716714
+0.00844773
+0.0100268
+0.0118028
+0.0136809
+0.0139641
+0.0135814
+0.0135004
+0.0137243
+0.0142441
+0.0150466
+0.0160916
+0.0173501
+0.0187781
+0.0203343
+0.0219679
+0.0236899
+0.025484
+0.027336
+0.0292348
+0.0311719
+0.0331407
+0.0351357
+0.0371528
+0.0391885
+0.0536562
+0.0521055
+0.0506022
+0.0491266
+0.0476279
+0.0461472
+0.0446617
+0.0431799
+0.0417304
+0.040345
+0.0389758
+0.0375985
+0.03628
+0.035027
+0.0337089
+0.0324646
+0.0313113
+0.0301168
+0.0290322
+0.0278877
+0.0267152
+0.0255274
+0.0243785
+0.0233589
+0.0224253
+0.0215252
+0.0206799
+0.019986
+0.0193637
+0.0187147
+0.0180623
+0.0176539
+0.0173387
+0.0171095
+0.0168704
+0.016639
+0.0166753
+0.0167644
+0.0166176
+0.0164274
+0.0164233
+0.0164148
+0.0165259
+0.0168146
+0.0170351
+0.0167338
+0.0165361
+0.0164722
+0.0166496
+0.0170547
+0.0176968
+0.0185443
+0.0195982
+0.0191665
+0.0178295
+0.0160905
+0.0144467
+0.012957
+0.0116902
+0.0104174
+0.00937699
+0.00783132
+0.0060459
+0.0043035
+0.00274937
+0.00168961
+0.00114108
+0.00058383
+0.000970504
+0.0020255
+0.00203943
+0.00216848
+0.00342332
+0.00441807
+0.00478796
+0.00586538
+0.00737712
+0.00912879
+0.011014
+0.0129954
+0.0146547
+0.0143789
+0.0143025
+0.0145353
+0.0150475
+0.0158208
+0.0168268
+0.0180341
+0.0194143
+0.0209332
+0.0225386
+0.0242274
+0.0259844
+0.027803
+0.029672
+0.0313669
+0.0330163
+0.0347256
+0.0364822
+0.0382813
+0.0525205
+0.0509352
+0.0493963
+0.0479081
+0.0464539
+0.0449771
+0.043518
+0.0420589
+0.0406268
+0.0392053
+0.0378399
+0.0365082
+0.0351638
+0.0338923
+0.0326614
+0.0313902
+0.0302094
+0.0291335
+0.028025
+0.0270165
+0.0259411
+0.024861
+0.0237632
+0.022716
+0.021839
+0.0210474
+0.020228
+0.0195495
+0.0190673
+0.0185232
+0.0180645
+0.0176561
+0.0174081
+0.0172738
+0.0172646
+0.017143
+0.0171967
+0.0174275
+0.0174908
+0.0173157
+0.0173063
+0.0173519
+0.017457
+0.0176992
+0.0178743
+0.0183116
+0.018157
+0.018129
+0.0182977
+0.018673
+0.0192782
+0.020063
+0.0193746
+0.0183774
+0.0175537
+0.0158572
+0.0142636
+0.0128401
+0.011514
+0.0101416
+0.00893831
+0.00739967
+0.00552863
+0.00371589
+0.00191413
+0.000492193
+-0.00086445
+0.000438696
+0.00249644
+0.00264831
+0.00140942
+0.0015182
+0.00296614
+0.00339096
+0.0038348
+0.00505817
+0.00675177
+0.00861006
+0.010588
+0.0126364
+0.0147257
+0.0153566
+0.0153689
+0.015608
+0.0160876
+0.0168392
+0.0177943
+0.01894
+0.0202586
+0.0216627
+0.0229012
+0.0242685
+0.0256931
+0.0272035
+0.0287581
+0.0303911
+0.0320868
+0.0338359
+0.0355441
+0.0372659
+0.0514086
+0.0498268
+0.0482597
+0.0467353
+0.0452561
+0.0438333
+0.0423866
+0.0409544
+0.0395276
+0.0381545
+0.036768
+0.0354287
+0.0341435
+0.0328411
+0.031628
+0.030415
+0.0292161
+0.028115
+0.0271253
+0.0261155
+0.0252073
+0.0241977
+0.0232729
+0.0222559
+0.0213601
+0.0206388
+0.0199856
+0.0193208
+0.0188654
+0.0185333
+0.018142
+0.017928
+0.0177363
+0.0176392
+0.0177008
+0.0178854
+0.0179369
+0.018221
+0.018416
+0.0184129
+0.018409
+0.0184241
+0.018546
+0.0187544
+0.0189197
+0.0192997
+0.0198077
+0.0198866
+0.0200465
+0.0203984
+0.0209539
+0.0199644
+0.0188507
+0.0178243
+0.0169562
+0.015634
+0.014015
+0.0125634
+0.0112642
+0.00995402
+0.00844991
+0.00671341
+0.00502923
+0.00359804
+0.00213133
+0.0008221
+-0.000342103
+0.000630349
+0.00265038
+0.00342232
+0.00218015
+0.0014959
+0.002063
+0.00311516
+0.00342536
+0.00459195
+0.00626738
+0.00818651
+0.0102121
+0.0122944
+0.0144089
+0.016374
+0.016307
+0.0163671
+0.0166571
+0.0172023
+0.0178843
+0.0186297
+0.0195929
+0.0207436
+0.0219567
+0.0233019
+0.0247352
+0.0262558
+0.0278597
+0.0295343
+0.0311954
+0.032853
+0.0345701
+0.0363349
+0.0503259
+0.048742
+0.0471728
+0.0456377
+0.0441217
+0.0426611
+0.0412651
+0.0398651
+0.0384696
+0.0370778
+0.0357305
+0.0344303
+0.0331319
+0.0318822
+0.0306559
+0.0295156
+0.0283297
+0.0272184
+0.0262202
+0.0253313
+0.0244251
+0.023591
+0.022693
+0.0219774
+0.0210706
+0.0203591
+0.0198201
+0.0192811
+0.0188438
+0.0186358
+0.0184112
+0.0182709
+0.0182422
+0.0182284
+0.0183461
+0.0185884
+0.0188642
+0.0191651
+0.0195116
+0.0196509
+0.019648
+0.0196141
+0.0197319
+0.0199383
+0.0200947
+0.0203484
+0.0208002
+0.0214533
+0.021875
+0.0222028
+0.0209734
+0.0197015
+0.0185721
+0.0175131
+0.0165388
+0.0153952
+0.0140853
+0.0126361
+0.0112123
+0.0096057
+0.00792665
+0.00608015
+0.00423846
+0.00253905
+0.00112109
+6.7666e-05
+9.37124e-05
+0.0018561
+0.00298843
+0.00271556
+0.00217892
+0.00132779
+0.00145175
+0.00197063
+0.00229654
+0.00379033
+0.00570619
+0.007758
+0.0098107
+0.0118585
+0.0139497
+0.0160668
+0.0158715
+0.0158709
+0.0161409
+0.0164446
+0.0170006
+0.0177831
+0.0187303
+0.0197911
+0.0210176
+0.0223828
+0.0238714
+0.0254477
+0.0270234
+0.0285933
+0.03024
+0.031921
+0.0336075
+0.0353493
+0.0492747
+0.0476875
+0.0461293
+0.0445758
+0.0430689
+0.0415713
+0.0401374
+0.0387743
+0.0374103
+0.0360798
+0.0347283
+0.0334135
+0.0321941
+0.0309531
+0.0297684
+0.0286395
+0.0275777
+0.0264438
+0.0254286
+0.0245407
+0.0237747
+0.0229655
+0.0222019
+0.0215317
+0.0209678
+0.0202758
+0.0197522
+0.0193947
+0.019018
+0.018812
+0.0188599
+0.0187782
+0.0188922
+0.019001
+0.0191814
+0.0194452
+0.019891
+0.0202713
+0.0207421
+0.0209975
+0.0210376
+0.0209636
+0.0210722
+0.0212559
+0.0213296
+0.021531
+0.0219143
+0.022494
+0.0232663
+0.0223016
+0.0209237
+0.0196649
+0.0185066
+0.0174362
+0.016356
+0.0151415
+0.0140154
+0.0128301
+0.0111456
+0.00951516
+0.00789917
+0.00605443
+0.00422472
+0.00249823
+0.000977822
+-0.000415498
+-0.000305248
+0.00168934
+0.00237845
+0.00178271
+0.00159906
+0.000292668
+0.00050239
+0.00105123
+0.00142125
+0.00295874
+0.0049328
+0.00703549
+0.00916031
+0.0113054
+0.0134651
+0.0156335
+0.0156567
+0.0154172
+0.0154686
+0.0157852
+0.0162658
+0.0169511
+0.0178495
+0.0189596
+0.0202324
+0.0216472
+0.0231054
+0.024535
+0.0260704
+0.027619
+0.0292254
+0.0309036
+0.0326427
+0.0344333
+0.0482317
+0.0466797
+0.0451076
+0.0435803
+0.0420467
+0.0405706
+0.0391
+0.0376995
+0.036377
+0.0350565
+0.0337773
+0.0324876
+0.0312321
+0.030084
+0.0289262
+0.0278283
+0.0268301
+0.0257775
+0.0247596
+0.0238783
+0.0231387
+0.0224704
+0.021768
+0.021153
+0.0206881
+0.0203315
+0.0199048
+0.0195721
+0.0193226
+0.0192168
+0.0192845
+0.0194924
+0.0196022
+0.0198601
+0.0201688
+0.0204999
+0.0209246
+0.0215034
+0.0219709
+0.0223974
+0.0224952
+0.0224052
+0.0225132
+0.0226552
+0.0226288
+0.0227867
+0.0231026
+0.0235317
+0.0238633
+0.0224561
+0.0210882
+0.0198399
+0.0186924
+0.0176333
+0.0164354
+0.0151857
+0.0138493
+0.012516
+0.0113273
+0.00985595
+0.00811045
+0.00630691
+0.00463865
+0.00329203
+0.00201136
+0.00119393
+0.00139137
+0.00260338
+0.00185739
+0.00127336
+0.000824759
+0.00039626
+0.000344316
+-3.53981e-05
+0.00022278
+0.00236131
+0.00454763
+0.00673677
+0.00892669
+0.0111169
+0.0133073
+0.0154977
+0.0152191
+0.0149726
+0.0149355
+0.0150951
+0.0155495
+0.016265
+0.0171992
+0.0183488
+0.0195704
+0.020792
+0.0221633
+0.0235511
+0.0250354
+0.0266174
+0.0282807
+0.0300118
+0.0317879
+0.0336105
+0.0471986
+0.0456599
+0.0441497
+0.0425968
+0.0411021
+0.0395986
+0.0381567
+0.036724
+0.0353651
+0.0340928
+0.0328267
+0.0316091
+0.0303978
+0.0292168
+0.0281285
+0.0270955
+0.0260745
+0.025154
+0.0242112
+0.0233311
+0.0226148
+0.0220641
+0.0214873
+0.0209277
+0.0205092
+0.020281
+0.0200856
+0.0198748
+0.0198391
+0.019736
+0.0198361
+0.0201655
+0.0204773
+0.0207243
+0.0211961
+0.0216435
+0.0221274
+0.0227138
+0.0233346
+0.0238951
+0.0240192
+0.0239373
+0.0240179
+0.023893
+0.0238298
+0.0238194
+0.0240016
+0.02438
+0.0241721
+0.0228207
+0.0214761
+0.0202171
+0.0189713
+0.0178834
+0.0166599
+0.0153985
+0.01392
+0.0125081
+0.0111961
+0.00979079
+0.00809835
+0.00619062
+0.00443541
+0.00284096
+0.00100623
+2.24639e-05
+0.00138902
+0.00222764
+0.00154055
+0.000484117
+0.000541479
+-0.000443065
+-0.000381518
+-7.03576e-05
+0.00126816
+0.00300197
+0.00502747
+0.00707119
+0.00916702
+0.0112926
+0.0134391
+0.0155693
+0.0149685
+0.014591
+0.0145032
+0.0146517
+0.0151184
+0.0158243
+0.0166431
+0.0175662
+0.0186919
+0.0198617
+0.021152
+0.0225816
+0.0241256
+0.0257632
+0.0274638
+0.0292262
+0.030998
+0.0327776
+0.046246
+0.0446748
+0.0431574
+0.041691
+0.0401682
+0.0387037
+0.0372474
+0.0358448
+0.0344628
+0.033156
+0.0319461
+0.0307476
+0.0296067
+0.0284554
+0.0273612
+0.0263738
+0.0254449
+0.0245447
+0.0237492
+0.0229492
+0.022245
+0.021692
+0.0213177
+0.0208766
+0.020512
+0.0202901
+0.0202801
+0.0202213
+0.0202908
+0.0204393
+0.0205734
+0.0208911
+0.0214164
+0.021773
+0.0222225
+0.0227285
+0.0228504
+0.0231405
+0.0236301
+0.0242855
+0.0245622
+0.0246318
+0.0248675
+0.024961
+0.0248189
+0.0248471
+0.0250219
+0.0253852
+0.0239423
+0.0224695
+0.0211215
+0.0197153
+0.0184284
+0.0173224
+0.0161542
+0.0149094
+0.013762
+0.0124568
+0.0111797
+0.00984603
+0.0084331
+0.00661976
+0.00492343
+0.00328185
+0.00154107
+0.000229649
+0.00140534
+0.00190728
+0.000716766
+0.000385873
+-5.00585e-05
+-0.000307065
+-0.000472914
+-0.00087186
+0.000596827
+0.00275675
+0.00485137
+0.00693632
+0.00905769
+0.0112058
+0.0133677
+0.0154978
+0.014848
+0.0144674
+0.014336
+0.0144474
+0.0147086
+0.0151926
+0.0159053
+0.016723
+0.0177557
+0.0189551
+0.0203035
+0.021789
+0.0233676
+0.02502
+0.0266906
+0.0284205
+0.0301931
+0.0320156
+0.0453419
+0.0437733
+0.0422276
+0.0407368
+0.0393117
+0.0378374
+0.036411
+0.0350126
+0.0336595
+0.0323407
+0.0310991
+0.0299663
+0.028852
+0.0278029
+0.0267219
+0.025741
+0.0248825
+0.0240415
+0.0232935
+0.0226562
+0.0220205
+0.0214746
+0.0211089
+0.0208982
+0.0206615
+0.0205282
+0.0205414
+0.020682
+0.0208035
+0.021114
+0.0214673
+0.0218135
+0.0222873
+0.0218873
+0.0216197
+0.0215315
+0.0216514
+0.0219564
+0.0224718
+0.0231599
+0.0234894
+0.02356
+0.0237958
+0.0242281
+0.0248284
+0.0255842
+0.0260014
+0.0252617
+0.0236785
+0.0221882
+0.020822
+0.0194419
+0.0181356
+0.0170106
+0.0157933
+0.0145035
+0.0133135
+0.012088
+0.0107844
+0.00962266
+0.0083388
+0.00723963
+0.00597764
+0.00452263
+0.00312772
+0.00237753
+0.00280852
+0.00170327
+0.000508373
+-0.000241721
+-0.000379954
+-0.00104736
+-0.00118268
+0.000124832
+0.00180775
+0.00347327
+0.00538621
+0.00735648
+0.00938334
+0.0114706
+0.0135904
+0.0156299
+0.0148889
+0.0143956
+0.0140299
+0.013919
+0.0141383
+0.0145454
+0.015099
+0.0159371
+0.0169879
+0.0182192
+0.0196187
+0.0211025
+0.022625
+0.02425
+0.0259474
+0.0277028
+0.0294458
+0.0312418
+0.0444822
+0.0428895
+0.0413515
+0.0398571
+0.0383993
+0.0370138
+0.0356208
+0.0342453
+0.0329021
+0.031609
+0.0303866
+0.0292263
+0.0281888
+0.0271559
+0.0261498
+0.025207
+0.0243694
+0.0236224
+0.0229482
+0.0223785
+0.0219117
+0.0214423
+0.0210504
+0.0208635
+0.0208396
+0.0209083
+0.0209806
+0.0212209
+0.0214762
+0.0218145
+0.0215233
+0.0212255
+0.0211271
+0.020866
+0.0205817
+0.0204891
+0.0205824
+0.020903
+0.0214437
+0.0221875
+0.0224937
+0.0225546
+0.0228008
+0.0232471
+0.0238522
+0.024638
+0.0255737
+0.0251976
+0.0236008
+0.022106
+0.0207352
+0.0193852
+0.0180315
+0.0168299
+0.0155806
+0.0142715
+0.0131325
+0.011905
+0.0106601
+0.00950424
+0.00815936
+0.00719927
+0.00672153
+0.00615754
+0.00504699
+0.00439244
+0.0027251
+0.00124115
+0.000254136
+-0.000206731
+-0.00084708
+-0.00135916
+-0.0012401
+-0.00103755
+0.00103884
+0.00318241
+0.00530257
+0.00744452
+0.00959879
+0.0117665
+0.0139414
+0.015772
+0.014896
+0.0141775
+0.0137224
+0.013609
+0.0136986
+0.0139451
+0.0145216
+0.0153908
+0.0164552
+0.0176538
+0.0189483
+0.0203964
+0.0219679
+0.0235884
+0.0252313
+0.0269521
+0.0287169
+0.0305145
+0.0436617
+0.0420938
+0.0405256
+0.0390174
+0.0375765
+0.0361658
+0.0348293
+0.0334865
+0.0321828
+0.0309503
+0.0297137
+0.0285917
+0.0275754
+0.0266445
+0.0256739
+0.0247376
+0.0239604
+0.0232519
+0.0226803
+0.0221968
+0.0218265
+0.021485
+0.0212075
+0.021022
+0.0210639
+0.0212233
+0.0215701
+0.0218464
+0.0214555
+0.0207434
+0.020244
+0.0199302
+0.0198049
+0.0199211
+0.0197333
+0.0195926
+0.0196868
+0.0200218
+0.0205855
+0.0213151
+0.0216176
+0.0216963
+0.0219534
+0.022393
+0.0230206
+0.0238338
+0.0248143
+0.0251322
+0.0236885
+0.0221717
+0.020761
+0.0194523
+0.0181036
+0.0168783
+0.0156366
+0.0143735
+0.013258
+0.0120639
+0.0109669
+0.00978934
+0.00847824
+0.00752398
+0.00706817
+0.00656358
+0.00600603
+0.00394168
+0.00214465
+0.000687966
+-0.000248676
+-0.000880646
+-0.000984879
+-0.00219945
+-0.00063819
+0.00087152
+0.00172979
+0.00354344
+0.00557184
+0.00767518
+0.00978816
+0.0119292
+0.0140855
+0.0157886
+0.0148069
+0.0140999
+0.0136658
+0.0134203
+0.0134034
+0.0136552
+0.014151
+0.0149182
+0.0158955
+0.0170425
+0.0183801
+0.0198155
+0.0212993
+0.0228968
+0.0245476
+0.0262615
+0.0279911
+0.0297814
+0.0429057
+0.0413195
+0.0397908
+0.0382666
+0.0367963
+0.0354005
+0.034068
+0.0327924
+0.0315028
+0.0302744
+0.0291568
+0.0280254
+0.0270111
+0.0261326
+0.0252491
+0.0244272
+0.023639
+0.0230328
+0.0225085
+0.0221244
+0.0218603
+0.0216461
+0.0215003
+0.0214047
+0.0214458
+0.0216717
+0.0220302
+0.0212723
+0.0203797
+0.0196281
+0.0190995
+0.018772
+0.0186389
+0.0187231
+0.018998
+0.0188938
+0.0189916
+0.0193386
+0.0198857
+0.0206391
+0.0208793
+0.0209894
+0.0212689
+0.0217088
+0.0223556
+0.0231921
+0.0241986
+0.0252334
+0.0237958
+0.0223695
+0.0209721
+0.0197196
+0.0183957
+0.0171912
+0.0159739
+0.0147598
+0.0136758
+0.0125721
+0.011615
+0.0104924
+0.0092812
+0.00842548
+0.00802106
+0.00747628
+0.00604384
+0.00399631
+0.00199915
+0.000386094
+-0.000467991
+-0.00122472
+-0.00172076
+-0.00197512
+-0.00123207
+0.000592815
+0.00259279
+0.00471333
+0.00644931
+0.00832981
+0.0103185
+0.0123681
+0.0144591
+0.0159981
+0.0150204
+0.014259
+0.0135731
+0.0131797
+0.0130939
+0.0133173
+0.0138019
+0.0145874
+0.015526
+0.0166023
+0.0178464
+0.0192006
+0.0206537
+0.0221723
+0.0237959
+0.0255044
+0.027282
+0.029095
+0.0422498
+0.0406381
+0.0390827
+0.0375907
+0.0361323
+0.0347098
+0.0333679
+0.0321075
+0.0309321
+0.0296968
+0.0285728
+0.0275591
+0.0265846
+0.0256636
+0.0249018
+0.0241518
+0.0234816
+0.0228712
+0.0224588
+0.0221627
+0.0219637
+0.0218952
+0.0218423
+0.0219179
+0.0220213
+0.0222778
+0.0215089
+0.0204225
+0.0194683
+0.0186848
+0.0181287
+0.0177642
+0.0175926
+0.0176707
+0.0179352
+0.0183916
+0.018492
+0.0188482
+0.0194092
+0.0200279
+0.0201053
+0.0202636
+0.0206275
+0.0211693
+0.0218905
+0.0227442
+0.0237697
+0.0249458
+0.0241025
+0.0227773
+0.0214065
+0.020181
+0.0189384
+0.0177708
+0.016596
+0.0154309
+0.0143976
+0.0133949
+0.0125163
+0.0115737
+0.0104875
+0.00969115
+0.00934169
+0.0075726
+0.00556139
+0.00370888
+0.00170287
+0.000183319
+-0.000863059
+-0.00139722
+-0.00192375
+-0.00232945
+-0.000225531
+0.000994687
+0.0027475
+0.00483668
+0.00698415
+0.00914979
+0.0112183
+0.0131468
+0.0151435
+0.0162785
+0.0152129
+0.0142678
+0.0135658
+0.0131722
+0.0130823
+0.0133002
+0.0136259
+0.0142265
+0.0151133
+0.0160249
+0.0171553
+0.0184736
+0.0199176
+0.0214883
+0.023123
+0.0248189
+0.0265871
+0.0284143
+0.0416015
+0.0400333
+0.0384864
+0.0369703
+0.0355197
+0.0341352
+0.032781
+0.031497
+0.0303172
+0.0292514
+0.0281081
+0.0270864
+0.0261771
+0.0253756
+0.0245926
+0.023943
+0.0233572
+0.0229152
+0.0225037
+0.0222881
+0.0221551
+0.0220897
+0.0222294
+0.0224652
+0.0226855
+0.0221463
+0.0208998
+0.0197469
+0.0187437
+0.0179463
+0.0173666
+0.0169463
+0.0167571
+0.0167826
+0.017038
+0.0175563
+0.018179
+0.0183257
+0.0185439
+0.0190137
+0.0191337
+0.0194388
+0.0199578
+0.020631
+0.0214113
+0.0223293
+0.0230467
+0.0234521
+0.0240398
+0.0233282
+0.0220237
+0.0208345
+0.0196953
+0.0185914
+0.0174613
+0.0163699
+0.0153996
+0.0144723
+0.0136631
+0.0129386
+0.011929
+0.0110943
+0.00900881
+0.00698794
+0.0049325
+0.00284928
+0.000990754
+-0.000365488
+-0.00136568
+-0.0017506
+-0.00226123
+-0.00255955
+-0.00064198
+0.00128883
+0.00338296
+0.00554715
+0.00762996
+0.00965176
+0.0117343
+0.0138502
+0.0159863
+0.0166523
+0.0154776
+0.0145064
+0.0137717
+0.0133145
+0.0130321
+0.0130241
+0.0133565
+0.0137749
+0.0144438
+0.0153796
+0.0165402
+0.0178344
+0.0192697
+0.0208188
+0.022475
+0.0242127
+0.0259905
+0.0277897
+0.0410457
+0.0394553
+0.0379171
+0.0364286
+0.0349999
+0.0335939
+0.0322755
+0.0310285
+0.0298313
+0.0287502
+0.0277347
+0.0267544
+0.0258651
+0.0250882
+0.0244508
+0.0238362
+0.0233276
+0.0229362
+0.0227089
+0.0224646
+0.0223515
+0.0224527
+0.0226126
+0.0229266
+0.0230793
+0.0216735
+0.0204064
+0.0192834
+0.0182547
+0.0174349
+0.0167898
+0.0162927
+0.0160812
+0.0160965
+0.0163626
+0.0168526
+0.0170167
+0.0174106
+0.017658
+0.0181507
+0.0183208
+0.0186451
+0.0191856
+0.0199089
+0.0205428
+0.0206208
+0.020884
+0.0213233
+0.021968
+0.0227724
+0.0228208
+0.0216754
+0.0206279
+0.0195771
+0.0185436
+0.0175165
+0.0166134
+0.0157767
+0.0150379
+0.0144873
+0.0126627
+0.0107004
+0.00853205
+0.00637903
+0.00425444
+0.00222917
+0.000678333
+-0.000718284
+-0.00152023
+-0.00204952
+-0.00292181
+-0.00158042
+0.000472773
+0.00138371
+0.00342273
+0.00557728
+0.00775159
+0.00993142
+0.012114
+0.0142982
+0.0164832
+0.016842
+0.0156417
+0.014636
+0.0138233
+0.013158
+0.0128366
+0.012885
+0.012996
+0.0132882
+0.0139032
+0.0148149
+0.0159416
+0.017266
+0.0187367
+0.0202669
+0.0219046
+0.0236082
+0.0253863
+0.0272246
+0.0404722
+0.0389534
+0.0374328
+0.0359322
+0.034503
+0.0331546
+0.0318536
+0.0306113
+0.0294524
+0.0284064
+0.0274207
+0.0264948
+0.0256484
+0.0249417
+0.0243243
+0.0238383
+0.0234676
+0.0230883
+0.0228846
+0.0227926
+0.0227395
+0.0228389
+0.0231102
+0.0234333
+0.0221275
+0.020958
+0.0199325
+0.0189364
+0.0179619
+0.0171103
+0.0163656
+0.0158553
+0.0156249
+0.0155941
+0.0158456
+0.0158645
+0.0160302
+0.0164398
+0.0170097
+0.0174826
+0.0177246
+0.0180454
+0.0185534
+0.0184321
+0.0183621
+0.0184399
+0.0187245
+0.0192084
+0.0199217
+0.0207698
+0.0217511
+0.0226966
+0.0217277
+0.0207477
+0.0198099
+0.0188305
+0.0179934
+0.0172615
+0.0159039
+0.0138959
+0.0118068
+0.00976233
+0.00778472
+0.00590012
+0.00412249
+0.00223494
+0.000287467
+-0.00132048
+-0.00176396
+-0.0024578
+-0.00267883
+-0.00106228
+0.000767979
+0.0027869
+0.00445247
+0.00627082
+0.00826467
+0.0103381
+0.0124517
+0.0145881
+0.0167385
+0.0170954
+0.0158765
+0.0147224
+0.013761
+0.0130925
+0.0127695
+0.0126334
+0.012603
+0.0128948
+0.0135258
+0.0144173
+0.0154668
+0.0167312
+0.0181605
+0.01973
+0.0214088
+0.0230783
+0.024823
+0.0266334
+0.0399971
+0.0384726
+0.0369957
+0.0355498
+0.0341132
+0.0327488
+0.0314737
+0.0303035
+0.0291655
+0.0281088
+0.027169
+0.0262933
+0.0255589
+0.0248647
+0.0243308
+0.0239392
+0.0236027
+0.0233786
+0.0232304
+0.0231801
+0.0232503
+0.0233878
+0.023688
+0.0226231
+0.0212843
+0.0200795
+0.0190067
+0.0181296
+0.0174432
+0.0169246
+0.0161874
+0.0156712
+0.0153909
+0.0153597
+0.0152526
+0.0151268
+0.0152487
+0.0156318
+0.0162902
+0.0170672
+0.0168813
+0.0168073
+0.0165363
+0.0162637
+0.0161743
+0.0162601
+0.0165689
+0.0171126
+0.0178881
+0.0187967
+0.0198591
+0.020999
+0.0213319
+0.021782
+0.0206507
+0.01932
+0.0181568
+0.0164567
+0.0145872
+0.0128197
+0.0110121
+0.00907994
+0.0069938
+0.00490023
+0.00292471
+0.00107614
+-0.000375031
+-0.00168339
+-0.00224043
+-0.00312753
+-0.00255456
+-0.000717725
+0.0010753
+0.00312573
+0.005234
+0.00738847
+0.00928009
+0.0111666
+0.0131477
+0.0151864
+0.0172625
+0.0173637
+0.0160195
+0.0148282
+0.0138682
+0.0130874
+0.012618
+0.0124655
+0.0123752
+0.012603
+0.0131921
+0.0140077
+0.0150775
+0.0163337
+0.0176843
+0.0191706
+0.020782
+0.0224905
+0.0242608
+0.0260936
+0.0395146
+0.0380905
+0.0366262
+0.0351994
+0.0338267
+0.032486
+0.0312001
+0.0300192
+0.0289562
+0.0279686
+0.0270429
+0.0262059
+0.0254742
+0.0248873
+0.0244363
+0.0240697
+0.0238365
+0.0237316
+0.0236728
+0.0237324
+0.0238209
+0.0240623
+0.0234281
+0.0219389
+0.0205641
+0.0193311
+0.0182623
+0.017348
+0.0166685
+0.0161144
+0.0157625
+0.0156527
+0.0154058
+0.0152249
+0.0147772
+0.0145764
+0.014689
+0.0150727
+0.0156483
+0.0152853
+0.0148963
+0.0148146
+0.0144158
+0.0141023
+0.0139862
+0.0140781
+0.0144224
+0.0150438
+0.0158739
+0.0168578
+0.0179793
+0.0189222
+0.019263
+0.0197133
+0.0190498
+0.0175984
+0.016313
+0.0151487
+0.0133866
+0.0115668
+0.00974419
+0.0080686
+0.00612655
+0.00418628
+0.00222226
+0.000457686
+-0.0014263
+-0.00221843
+-0.00262327
+-0.00336542
+-0.00233189
+-0.000363279
+0.0014381
+0.00353313
+0.00565448
+0.0076215
+0.00965264
+0.0117334
+0.013848
+0.0159832
+0.018039
+0.0176476
+0.0162672
+0.0150253
+0.0139684
+0.0131133
+0.0124826
+0.0121461
+0.0120572
+0.0123506
+0.0128728
+0.0135988
+0.0145945
+0.0157973
+0.0171919
+0.0187156
+0.0203421
+0.0220657
+0.023866
+0.025727
+0.0390402
+0.037621
+0.0362784
+0.0349239
+0.0335933
+0.0322893
+0.0310722
+0.0298862
+0.0288183
+0.0278545
+0.0270065
+0.0262753
+0.0255446
+0.0249594
+0.0245563
+0.0243134
+0.0241445
+0.0241104
+0.0241664
+0.0243235
+0.0245464
+0.0245691
+0.0229452
+0.0214225
+0.020024
+0.0187775
+0.0176826
+0.0167651
+0.0160658
+0.0155026
+0.0151374
+0.0150276
+0.0148356
+0.0146194
+0.0145196
+0.0142706
+0.0143351
+0.0146412
+0.0141337
+0.0134224
+0.0129776
+0.0128834
+0.012311
+0.0119516
+0.0117991
+0.0118992
+0.0122915
+0.0130144
+0.013899
+0.0149884
+0.0161444
+0.0168584
+0.0172243
+0.0176741
+0.0175766
+0.0159921
+0.0145655
+0.0133477
+0.0120794
+0.0103136
+0.00860206
+0.00668959
+0.00499578
+0.00317816
+0.00131862
+-0.000395528
+-0.00233012
+-0.00252325
+-0.00293316
+-0.00386325
+-0.00182896
+0.000141181
+0.00211223
+0.00413662
+0.00611182
+0.00815346
+0.0101445
+0.0121436
+0.0141973
+0.0162867
+0.0183998
+0.0177729
+0.0163171
+0.015013
+0.0138867
+0.0130123
+0.0123912
+0.0120625
+0.0119805
+0.012204
+0.0125874
+0.0132591
+0.0142332
+0.0154398
+0.0168335
+0.0183648
+0.020019
+0.0217007
+0.0234499
+0.0252645
+0.0386626
+0.0372451
+0.0358952
+0.0346244
+0.0334057
+0.0321518
+0.0309685
+0.0298562
+0.0287895
+0.027852
+0.0270445
+0.0263444
+0.0257205
+0.0251992
+0.0248235
+0.0246063
+0.02453
+0.024534
+0.0246945
+0.0249306
+0.0252598
+0.0242776
+0.0226406
+0.0211043
+0.0196922
+0.018433
+0.017317
+0.0163843
+0.0156419
+0.0150862
+0.0147381
+0.0145812
+0.0142697
+0.0141004
+0.0142016
+0.0142123
+0.0141808
+0.0133547
+0.0123745
+0.0115871
+0.0110688
+0.0109106
+0.0102324
+0.0098185
+0.00961366
+0.00972568
+0.0101859
+0.0109803
+0.0119686
+0.0131076
+0.0143876
+0.0148127
+0.0152277
+0.0156758
+0.0161651
+0.0145391
+0.0129535
+0.0115672
+0.0104598
+0.00898964
+0.00725532
+0.00556045
+0.00370723
+0.0018991
+0.000632463
+-0.00140932
+-0.00289511
+-0.00277194
+-0.00340092
+-0.00333819
+-0.00169154
+0.00045483
+0.00230267
+0.0043245
+0.00643283
+0.00857198
+0.0106497
+0.012654
+0.0146997
+0.0167821
+0.018889
+0.0179746
+0.0165012
+0.0151879
+0.0140554
+0.0131922
+0.0124589
+0.0120503
+0.011957
+0.0119831
+0.012372
+0.0130548
+0.0140126
+0.0151242
+0.0164497
+0.0179326
+0.0195346
+0.0212363
+0.0230208
+0.0248611
+0.0382211
+0.0369124
+0.0356187
+0.0343442
+0.0331657
+0.032068
+0.0309505
+0.0298735
+0.0288695
+0.0279941
+0.0271739
+0.0264947
+0.0259105
+0.025443
+0.0251583
+0.0249909
+0.0249385
+0.0250612
+0.0252637
+0.0255959
+0.0258771
+0.0241743
+0.0225298
+0.0209854
+0.0195648
+0.0182968
+0.0171765
+0.016236
+0.0154794
+0.0149177
+0.0145655
+0.0144068
+0.0140253
+0.0138531
+0.0139636
+0.0142165
+0.0131533
+0.0118591
+0.0106885
+0.00975189
+0.00912835
+0.00890642
+0.00821232
+0.00771777
+0.00743047
+0.00755948
+0.00812556
+0.00900213
+0.0101043
+0.0113146
+0.0126629
+0.0128149
+0.0132925
+0.0137362
+0.0144525
+0.0131917
+0.0115339
+0.00995183
+0.00863968
+0.00758376
+0.00590864
+0.00421093
+0.0024652
+0.000933114
+-0.000832254
+-0.00222604
+-0.00329122
+-0.00336199
+-0.00419116
+-0.00295547
+-0.00130205
+0.000576598
+0.00263283
+0.00466804
+0.00675641
+0.00885358
+0.010929
+0.0130222
+0.0150516
+0.0171207
+0.0192168
+0.0183425
+0.0168818
+0.0155521
+0.014319
+0.0133341
+0.0125563
+0.0120022
+0.0117802
+0.0118909
+0.0122335
+0.0128305
+0.0136678
+0.0147849
+0.0161237
+0.0176339
+0.0192607
+0.0209534
+0.0226915
+0.0245024
+0.0378627
+0.0365525
+0.035318
+0.0341795
+0.0330099
+0.0319065
+0.0308959
+0.0300109
+0.0290339
+0.0281722
+0.027444
+0.0267847
+0.0262823
+0.0258216
+0.0255411
+0.0254231
+0.0254446
+0.0256037
+0.0258896
+0.0263047
+0.0259641
+0.0242438
+0.0226036
+0.0210637
+0.0196479
+0.0183846
+0.017269
+0.016356
+0.0156254
+0.0150681
+0.0147206
+0.0145636
+0.014118
+0.0139496
+0.0140592
+0.0134486
+0.0119277
+0.010496
+0.00918538
+0.00805374
+0.00725667
+0.00687438
+0.00624197
+0.00564559
+0.0052499
+0.00540014
+0.00609464
+0.00709238
+0.00826042
+0.0096649
+0.0106872
+0.0108916
+0.0113806
+0.0118509
+0.0126325
+0.0116072
+0.0102241
+0.00859505
+0.00703421
+0.00587763
+0.00460178
+0.00285968
+0.00140569
+-0.000558342
+-0.00168585
+-0.00326463
+-0.0039929
+-0.00423002
+-0.0044528
+-0.00276105
+-0.00118861
+0.000776112
+0.00275531
+0.00470526
+0.0067979
+0.00893612
+0.0110854
+0.0132162
+0.0153119
+0.017431
+0.0195659
+0.0187219
+0.017203
+0.0158385
+0.0146317
+0.0134999
+0.0126112
+0.0120401
+0.0117941
+0.0118426
+0.0120897
+0.0126769
+0.0134942
+0.0145811
+0.0158615
+0.0173181
+0.0189168
+0.0206161
+0.0223804
+0.0242145
+0.0376128
+0.0363078
+0.0350706
+0.0339237
+0.032883
+0.0318762
+0.030884
+0.0299889
+0.0292121
+0.0284844
+0.0277693
+0.0271501
+0.026664
+0.0263516
+0.0261028
+0.025997
+0.0260437
+0.0262482
+0.0265961
+0.0270423
+0.0261996
+0.0244965
+0.0228744
+0.0213541
+0.0199589
+0.0187166
+0.017621
+0.0167272
+0.0160359
+0.0154758
+0.0151411
+0.0149518
+0.0144825
+0.0143189
+0.0142005
+0.0124586
+0.0108663
+0.00922439
+0.0077452
+0.00643206
+0.00546207
+0.00480275
+0.00431205
+0.00354297
+0.00307736
+0.00326185
+0.00410855
+0.00523795
+0.00657908
+0.00822918
+0.00873925
+0.00898172
+0.00952529
+0.0100605
+0.0109489
+0.0102438
+0.00872148
+0.00732777
+0.00580111
+0.00431607
+0.0032203
+0.00192539
+0.000165319
+-0.000783275
+-0.00266118
+-0.00444183
+-0.00501637
+-0.00539321
+-0.00487815
+-0.00312267
+-0.00112245
+0.000642192
+0.00263268
+0.00474499
+0.00687389
+0.00900266
+0.0111554
+0.0133206
+0.0154929
+0.0176697
+0.0198496
+0.0190686
+0.0175306
+0.0161121
+0.0148461
+0.0136824
+0.0127338
+0.0120497
+0.0117248
+0.0117146
+0.0119815
+0.0125012
+0.0133293
+0.0144285
+0.0157182
+0.0171591
+0.0187218
+0.0203955
+0.0221376
+0.0239534
+0.0374743
+0.0361656
+0.0349453
+0.0338082
+0.0327638
+0.0318361
+0.030961
+0.0300944
+0.0293322
+0.0287052
+0.0281684
+0.0276274
+0.027192
+0.0268858
+0.0267461
+0.0267197
+0.0267798
+0.0270077
+0.0273808
+0.027899
+0.0266139
+0.0249398
+0.0233486
+0.0218613
+0.0204861
+0.0192567
+0.0181973
+0.0173244
+0.0166485
+0.0161405
+0.0158167
+0.0155892
+0.015158
+0.0150011
+0.0133783
+0.0116785
+0.00988062
+0.00813183
+0.00645232
+0.00495273
+0.00376774
+0.00283677
+0.00251744
+0.00152728
+0.00094416
+0.00120287
+0.00223838
+0.00351466
+0.00518973
+0.00659441
+0.00688537
+0.00715924
+0.00783075
+0.00843292
+0.00928028
+0.00902208
+0.0074647
+0.00604888
+0.00465594
+0.00336728
+0.00210592
+0.00114218
+-0.00022986
+-0.0018776
+-0.00367467
+-0.00551258
+-0.0060651
+-0.00516646
+-0.00482278
+-0.00304623
+-0.00100658
+0.00114561
+0.00326358
+0.005103
+0.00714341
+0.00925281
+0.011385
+0.0135134
+0.015659
+0.0178156
+0.0199796
+0.0192843
+0.01772
+0.0162826
+0.0150194
+0.0138646
+0.0128464
+0.012115
+0.0117472
+0.0117393
+0.0120013
+0.0124265
+0.0131891
+0.0142386
+0.0154944
+0.0169297
+0.0185117
+0.020181
+0.0219055
+0.0237071
+0.0374275
+0.0361392
+0.034918
+0.0337948
+0.0327559
+0.031828
+0.0310272
+0.030311
+0.0296026
+0.0289934
+0.0285277
+0.0281687
+0.0277675
+0.0275352
+0.0274482
+0.027478
+0.0276258
+0.0278866
+0.0282571
+0.0287816
+0.0271815
+0.025542
+0.0239908
+0.0225335
+0.0211967
+0.0200111
+0.0189937
+0.0181592
+0.0174769
+0.0169809
+0.0167476
+0.0164612
+0.0160673
+0.0147055
+0.0128748
+0.0110606
+0.0091646
+0.00738902
+0.00555657
+0.00381393
+0.00223182
+0.00108408
+0.000442367
+-0.000146065
+-0.00118715
+-0.000769524
+0.000546799
+0.00227992
+0.00409534
+0.0049711
+0.00528172
+0.00558397
+0.00612225
+0.00695789
+0.00757988
+0.00704388
+0.00657324
+0.00503871
+0.0038763
+0.00262277
+0.00171142
+0.00015436
+-0.00154547
+-0.00323564
+-0.00489755
+-0.0066476
+-0.00576917
+-0.00462226
+-0.00423523
+-0.00281475
+-0.000725007
+0.00135632
+0.00347392
+0.00563114
+0.00767186
+0.00977771
+0.0119112
+0.0139878
+0.0160947
+0.0182214
+0.0203459
+0.0195345
+0.0179403
+0.0164837
+0.0152042
+0.0140612
+0.013069
+0.012372
+0.0119802
+0.0119235
+0.0119842
+0.0123918
+0.0130873
+0.0140804
+0.0152989
+0.0167162
+0.0182742
+0.0199477
+0.0216907
+0.0235025
+0.037505
+0.0362217
+0.0350279
+0.0339084
+0.0328727
+0.0319481
+0.0311504
+0.0304838
+0.0299322
+0.029405
+0.0289837
+0.0286856
+0.0284589
+0.0282323
+0.0281744
+0.0282583
+0.0285066
+0.0288064
+0.0292175
+0.029565
+0.0278936
+0.0262986
+0.0247947
+0.0233876
+0.0221025
+0.020968
+0.019986
+0.0191784
+0.0185168
+0.0180494
+0.0178283
+0.0175607
+0.0164526
+0.0145267
+0.0126659
+0.0106438
+0.00864362
+0.00673141
+0.00488349
+0.00305191
+0.00115626
+-0.000489843
+-0.0015445
+-0.00180062
+-0.00288793
+-0.00206106
+-0.000143328
+0.00166731
+0.00352288
+0.00345938
+0.00365437
+0.00419148
+0.00465919
+0.00562401
+0.00591261
+0.00517048
+0.00454952
+0.00420421
+0.0035142
+0.00265592
+0.000860101
+-0.00107362
+-0.00288221
+-0.00452812
+-0.00627541
+-0.00721177
+-0.00596992
+-0.0048865
+-0.00411919
+-0.00222637
+-0.000168124
+0.00182168
+0.00370389
+0.00577092
+0.00790469
+0.010063
+0.0122328
+0.0144089
+0.0165773
+0.0187068
+0.0208491
+0.0198628
+0.0182973
+0.0168715
+0.0156224
+0.0144707
+0.013464
+0.0126636
+0.0122006
+0.0119564
+0.011957
+0.0122902
+0.0129895
+0.0139899
+0.0151999
+0.0166118
+0.0181783
+0.019856
+0.0216036
+0.0234065
+0.0375895
+0.0363852
+0.0352356
+0.0341487
+0.0331341
+0.0322171
+0.0314262
+0.0307656
+0.0302191
+0.029824
+0.0294867
+0.0292255
+0.0291272
+0.0290487
+0.0289962
+0.0290974
+0.0293384
+0.0297393
+0.0302506
+0.0303794
+0.0287553
+0.0272109
+0.0257603
+0.0244089
+0.0231805
+0.0220796
+0.0211473
+0.020366
+0.0197459
+0.0193083
+0.0191
+0.0185529
+0.0165816
+0.0146727
+0.0126921
+0.0106209
+0.00859092
+0.0065786
+0.00455849
+0.0025935
+0.000587029
+-0.00118867
+-0.00295793
+-0.00379094
+-0.0033368
+-0.00157406
+0.00010032
+0.00168439
+0.00187692
+0.00174355
+0.00204084
+0.00258724
+0.00331921
+0.00445779
+0.00458442
+0.00360849
+0.00274577
+0.00217048
+0.00233012
+0.0020455
+0.000544159
+-0.00143168
+-0.00349077
+-0.00553533
+-0.00756636
+-0.00750152
+-0.0064217
+-0.00498651
+-0.00331491
+-0.00171889
+0.000293777
+0.00192133
+0.0037728
+0.00584227
+0.00797673
+0.0101352
+0.0123051
+0.0144812
+0.0166409
+0.0187738
+0.0209183
+0.0203524
+0.0187585
+0.017267
+0.015934
+0.0147051
+0.0136918
+0.0129378
+0.0123359
+0.0120281
+0.0120099
+0.0123417
+0.0130382
+0.0139956
+0.0152003
+0.016575
+0.0180845
+0.0197222
+0.0214589
+0.0232722
+0.0377243
+0.0365758
+0.0354686
+0.0344245
+0.0334913
+0.0326172
+0.0318363
+0.03119
+0.0306603
+0.0302709
+0.030035
+0.0298685
+0.0297723
+0.0298076
+0.0298695
+0.0300541
+0.0302875
+0.0306759
+0.0311781
+0.0313261
+0.0297538
+0.0282639
+0.0268702
+0.0255774
+0.024388
+0.0233426
+0.0224564
+0.0217103
+0.021131
+0.0207228
+0.0205274
+0.0189228
+0.0169712
+0.0150037
+0.0129431
+0.0108889
+0.00886792
+0.00691807
+0.00493932
+0.00293503
+0.000983617
+-0.000663376
+-0.00196061
+-0.00329408
+-0.00350647
+-0.00192742
+-0.000393862
+0.000844093
+0.000621788
+0.00045596
+0.000713081
+0.00126465
+0.00206103
+0.00336805
+0.00346058
+0.00279323
+0.00154762
+0.000676598
+0.000180679
+0.000122396
+-0.000525033
+-0.00245239
+-0.00427731
+-0.00625371
+-0.00819431
+-0.00797045
+-0.00603316
+-0.00411964
+-0.00242148
+-0.00100708
+0.000467248
+0.00242551
+0.00431581
+0.00620575
+0.00815155
+0.0101972
+0.0122929
+0.0144169
+0.0165552
+0.0186979
+0.0207132
+0.0207929
+0.0192241
+0.0177871
+0.0164213
+0.0151469
+0.0140995
+0.0132684
+0.0126113
+0.0122532
+0.0122339
+0.0125495
+0.0131647
+0.0140971
+0.0152393
+0.0165818
+0.0180651
+0.019624
+0.0212941
+0.0230477
+0.0379851
+0.0368444
+0.0357776
+0.0347903
+0.0338603
+0.0330459
+0.0323483
+0.0317398
+0.0312361
+0.0308594
+0.030633
+0.0305233
+0.0304901
+0.0305391
+0.0307243
+0.0309697
+0.0313152
+0.0317364
+0.0322217
+0.0323934
+0.0308756
+0.0294425
+0.0281073
+0.0268559
+0.0257244
+0.0247355
+0.0238841
+0.0231716
+0.0226297
+0.0222599
+0.0214209
+0.0194723
+0.0174806
+0.0155235
+0.0135009
+0.0115146
+0.00958908
+0.00776095
+0.00585695
+0.00403068
+0.00241882
+0.00109093
+-0.000302003
+-0.00171028
+-0.00292519
+-0.00297304
+-0.00145171
+0.000252817
+0.000337126
+-0.000195682
+-0.000250381
+0.000385309
+0.00140232
+0.00262063
+0.00246195
+0.00173355
+0.0012572
+0.000357612
+-0.0013671
+-0.00180517
+-0.00209691
+-0.003529
+-0.00536391
+-0.00722604
+-0.00916112
+-0.00719566
+-0.00518824
+-0.00325398
+-0.00141911
+0.000117853
+0.00156877
+0.00306238
+0.00483831
+0.00672792
+0.00855577
+0.0105231
+0.0124394
+0.0141876
+0.0159787
+0.0178201
+0.0197326
+0.021294
+0.0196931
+0.0181588
+0.0167635
+0.0155056
+0.014372
+0.0134571
+0.0128097
+0.0124513
+0.0124489
+0.012737
+0.0132687
+0.0140629
+0.015135
+0.0164301
+0.0178583
+0.0194262
+0.0211054
+0.0228713
+0.0382109
+0.0371796
+0.0361806
+0.0352307
+0.0343448
+0.0335422
+0.0328553
+0.032287
+0.0318596
+0.0315554
+0.0313481
+0.0312616
+0.0312589
+0.0313867
+0.0315867
+0.0319061
+0.0323302
+0.0328075
+0.0333481
+0.03357
+0.0321078
+0.0307323
+0.0294298
+0.0282316
+0.0271574
+0.0262227
+0.0254149
+0.0247285
+0.0242211
+0.0238679
+0.0221034
+0.0201343
+0.018199
+0.0162658
+0.0143089
+0.0124301
+0.010664
+0.00884456
+0.00710768
+0.00551332
+0.00415386
+0.0027706
+0.0013188
+0.000104889
+-0.00105259
+-0.00114723
+-0.000545818
+0.000802401
+0.000992436
+0.000608812
+0.00014827
+0.000420918
+0.0014385
+0.00246429
+0.00181537
+0.00103977
+0.000217096
+-0.000510265
+-0.00132943
+-0.00295192
+-0.00409491
+-0.00506605
+-0.00657526
+-0.00830065
+-0.00903317
+-0.00697496
+-0.00487097
+-0.00284881
+-0.00101909
+0.000851928
+0.00246367
+0.00374456
+0.00500898
+0.00623696
+0.00784575
+0.00957271
+0.0113226
+0.0131383
+0.0150091
+0.0169557
+0.0189503
+0.0209657
+0.02015
+0.0186471
+0.0172049
+0.0158781
+0.014757
+0.0138413
+0.0131597
+0.0127337
+0.0126093
+0.0127811
+0.0132665
+0.0140608
+0.0151331
+0.0163942
+0.0178169
+0.0193834
+0.0210615
+0.0228015
+0.0385213
+0.037527
+0.0365881
+0.0356969
+0.0349206
+0.0341654
+0.0334981
+0.032941
+0.0325221
+0.0322242
+0.0320674
+0.0320577
+0.032079
+0.0322257
+0.0325196
+0.0328797
+0.033317
+0.0338904
+0.0344842
+0.0348389
+0.0334322
+0.0320962
+0.030846
+0.0297049
+0.0286859
+0.0278026
+0.0270202
+0.0263756
+0.0258929
+0.0248313
+0.0229
+0.020991
+0.0191188
+0.0172074
+0.0153688
+0.0136289
+0.0118889
+0.0101963
+0.0086099
+0.00723239
+0.00585077
+0.00440343
+0.00305819
+0.00192721
+0.00106726
+0.00082257
+0.00117844
+0.00211556
+0.00227886
+0.00185944
+0.00151977
+0.00179027
+0.00219185
+0.00235236
+0.00155182
+0.000724183
+0.000185583
+-0.000441492
+-0.001744
+-0.0035769
+-0.00493403
+-0.00617138
+-0.00767692
+-0.00943657
+-0.00923411
+-0.0072333
+-0.00525976
+-0.00332359
+-0.00177141
+-0.000116924
+0.000694057
+0.00203977
+0.00353605
+0.00508505
+0.00688775
+0.00859294
+0.0104147
+0.0123311
+0.0142939
+0.0163139
+0.0183567
+0.0204264
+0.0204648
+0.01892
+0.017501
+0.016235
+0.0151355
+0.0141856
+0.0135046
+0.0129766
+0.0127733
+0.01293
+0.01339
+0.0141685
+0.0151741
+0.0164122
+0.0178344
+0.0193519
+0.0209876
+0.022717
+0.0388368
+0.0378941
+0.0370571
+0.0362022
+0.035439
+0.034797
+0.034205
+0.0336872
+0.0333056
+0.0330251
+0.0328721
+0.0328647
+0.0329952
+0.0331641
+0.0334498
+0.033875
+0.0343609
+0.0349462
+0.0356124
+0.0361904
+0.0348269
+0.0335428
+0.0323485
+0.0312623
+0.0302958
+0.0294598
+0.028703
+0.0280971
+0.0276357
+0.0257414
+0.0238587
+0.0220329
+0.0201654
+0.0183581
+0.0166395
+0.0149387
+0.0132887
+0.0117073
+0.0102966
+0.00893515
+0.00749221
+0.00608794
+0.00495631
+0.00384279
+0.00312432
+0.00290443
+0.00315505
+0.003859
+0.00384964
+0.00352922
+0.0032483
+0.00338983
+0.00348076
+0.00249278
+0.0016089
+0.000729196
+-0.000410114
+-0.00119347
+-0.00229066
+-0.00374883
+-0.00556512
+-0.00698497
+-0.00838727
+-0.010023
+-0.00939444
+-0.00799814
+-0.00627295
+-0.00469542
+-0.00316901
+-0.00203038
+-0.000906705
+0.000689289
+0.00241795
+0.00422279
+0.0060807
+0.00788907
+0.00979436
+0.011762
+0.0137863
+0.0158549
+0.0179291
+0.0200002
+0.0208593
+0.0193133
+0.0178853
+0.0166115
+0.0154673
+0.0145183
+0.0138536
+0.0133519
+0.0130838
+0.0131794
+0.013631
+0.0143912
+0.0153646
+0.0165296
+0.0178438
+0.0193115
+0.020906
+0.0225972
+0.0392721
+0.0383402
+0.0375131
+0.0367952
+0.0360446
+0.0354138
+0.0349088
+0.0344855
+0.0341129
+0.0338781
+0.033784
+0.0337926
+0.0339196
+0.0341671
+0.0344751
+0.0348879
+0.0354271
+0.0360246
+0.0367241
+0.0374772
+0.0362969
+0.0350667
+0.0339261
+0.0328921
+0.0319749
+0.0311648
+0.0304505
+0.02988
+0.0286184
+0.0267777
+0.0249732
+0.0231578
+0.0213784
+0.0196722
+0.0179892
+0.0163806
+0.014805
+0.0133622
+0.0120239
+0.010586
+0.00916342
+0.00793327
+0.00680662
+0.00587207
+0.00523376
+0.00506054
+0.00523905
+0.00583506
+0.00560466
+0.00533272
+0.00516982
+0.00504264
+0.00374179
+0.00269905
+0.00179856
+0.000690103
+-0.000175601
+-0.00101933
+-0.00239676
+-0.00416133
+-0.00583235
+-0.00729375
+-0.00878964
+-0.010038
+-0.00860203
+-0.00743785
+-0.00630419
+-0.00518955
+-0.00388795
+-0.00228019
+-0.000700184
+0.000708715
+0.00226749
+0.0038481
+0.00556788
+0.00746199
+0.00944403
+0.0114678
+0.0135362
+0.0156143
+0.017685
+0.0197817
+0.0212995
+0.019738
+0.0183005
+0.0170054
+0.0159055
+0.0150225
+0.0143376
+0.013756
+0.0135015
+0.0135754
+0.0139291
+0.0145869
+0.0155091
+0.0166637
+0.0179541
+0.0193649
+0.0209105
+0.0225385
+0.0397805
+0.0388599
+0.0380433
+0.0373376
+0.0367491
+0.0361528
+0.0356583
+0.0352682
+0.03501
+0.0347946
+0.0347027
+0.034749
+0.0349218
+0.0351888
+0.035571
+0.0360057
+0.0365327
+0.0371658
+0.0378692
+0.0386595
+0.0378367
+0.0366582
+0.0355687
+0.0345838
+0.0337127
+0.0329274
+0.0322522
+0.0315205
+0.0297058
+0.0279271
+0.0261743
+0.0244182
+0.0227222
+0.0210523
+0.0194532
+0.0179028
+0.01644
+0.015108
+0.0136576
+0.0122501
+0.0109434
+0.00981877
+0.00874106
+0.0079038
+0.00738918
+0.00723701
+0.00737305
+0.00778288
+0.0075014
+0.00705438
+0.00634134
+0.00576661
+0.00433167
+0.00311696
+0.00188587
+0.000644543
+-0.000299581
+-0.00119662
+-0.00227979
+-0.00359397
+-0.0050714
+-0.0066153
+-0.00839808
+-0.00866585
+-0.00725147
+-0.00607109
+-0.00487845
+-0.00409717
+-0.00333114
+-0.00205611
+-0.000721674
+0.000578901
+0.00200477
+0.0035396
+0.00527615
+0.0071416
+0.00911523
+0.0111401
+0.013217
+0.0153256
+0.0174545
+0.0195969
+0.0216756
+0.0202521
+0.0188351
+0.0175765
+0.0164856
+0.0156061
+0.0147516
+0.0141844
+0.0139325
+0.0140225
+0.0143549
+0.0149547
+0.0157918
+0.0168735
+0.0181118
+0.0194954
+0.0209632
+0.0225303
+0.0403965
+0.0394915
+0.0386883
+0.0379945
+0.0374164
+0.0368976
+0.0364646
+0.0361432
+0.0358913
+0.0357721
+0.0357179
+0.0357631
+0.035942
+0.036239
+0.0366382
+0.037152
+0.037729
+0.0383554
+0.0390731
+0.0398651
+0.0394381
+0.0383089
+0.0372677
+0.0363289
+0.0355006
+0.0347388
+0.0340994
+0.0326557
+0.0308915
+0.0291851
+0.0274708
+0.0257837
+0.0241213
+0.0225297
+0.0210007
+0.0195242
+0.018161
+0.0167389
+0.0153402
+0.0139802
+0.0127929
+0.0116936
+0.0107391
+0.00998854
+0.00956064
+0.00942007
+0.00949764
+0.00980908
+0.0091313
+0.00807699
+0.00728563
+0.00654911
+0.00524596
+0.00388214
+0.00253179
+0.00117717
+6.15056e-05
+-0.00118612
+-0.00267514
+-0.00350505
+-0.0046945
+-0.00627805
+-0.00813508
+-0.00759842
+-0.00607367
+-0.00468046
+-0.00343279
+-0.00241072
+-0.00171324
+-0.00119256
+-0.000599595
+0.000616887
+0.00211494
+0.00354033
+0.00518414
+0.00702099
+0.00901646
+0.011058
+0.0131434
+0.0152583
+0.017382
+0.0194443
+0.0215319
+0.0208832
+0.0194642
+0.01819
+0.0170576
+0.0161446
+0.0154339
+0.0148835
+0.0146327
+0.0146205
+0.0148425
+0.0153724
+0.0161306
+0.0171369
+0.0182633
+0.0195577
+0.0210015
+0.0225475
+0.0410262
+0.0401421
+0.0393529
+0.0386719
+0.0381049
+0.0376458
+0.0372411
+0.0369423
+0.0367711
+0.036706
+0.0367709
+0.0368581
+0.0370317
+0.0373333
+0.0377486
+0.0382719
+0.0388996
+0.0396193
+0.0403256
+0.0411257
+0.041094
+0.0400111
+0.0390153
+0.0381195
+0.037317
+0.0365916
+0.0356308
+0.0338798
+0.0321828
+0.0305143
+0.0288514
+0.027196
+0.0256081
+0.0240987
+0.0226122
+0.0212272
+0.0197942
+0.0184157
+0.0170389
+0.0158099
+0.0146997
+0.0136393
+0.0127685
+0.012101
+0.0117393
+0.011606
+0.0116283
+0.0114801
+0.0103887
+0.00933984
+0.00849655
+0.00739831
+0.00621362
+0.0048593
+0.00338779
+0.00183875
+0.00083514
+-0.000633712
+-0.00199483
+-0.0034198
+-0.00498056
+-0.0064355
+-0.00773005
+-0.00677443
+-0.00541231
+-0.00390914
+-0.00271871
+-0.00146418
+-0.000380486
+0.000131089
+0.000540276
+0.00131691
+0.00261388
+0.00408413
+0.00566517
+0.00742076
+0.00928675
+0.0112429
+0.0132625
+0.0153292
+0.0174262
+0.0195261
+0.0216105
+0.0214924
+0.0200829
+0.0188234
+0.0177164
+0.0167839
+0.0160561
+0.0155278
+0.0152168
+0.0151706
+0.0153846
+0.0158021
+0.0164639
+0.0173442
+0.0184376
+0.0197053
+0.0210922
+0.0225863
+0.0416958
+0.0408299
+0.0400543
+0.0393854
+0.0388288
+0.0383852
+0.0380424
+0.037803
+0.0376364
+0.0375969
+0.0376687
+0.0378589
+0.0381742
+0.0385082
+0.0389219
+0.0394361
+0.0400568
+0.04078
+0.0415691
+0.0424068
+0.0427974
+0.0417532
+0.0408
+0.0399442
+0.0391705
+0.03848
+0.0368863
+0.0351978
+0.0335597
+0.0319103
+0.0302755
+0.0286908
+0.0271904
+0.0257027
+0.0243014
+0.0228548
+0.0214952
+0.0201024
+0.0188385
+0.0176671
+0.0165874
+0.0156259
+0.0148167
+0.014228
+0.0139217
+0.0137935
+0.0137777
+0.0129966
+0.0118135
+0.0108136
+0.0097226
+0.00845653
+0.0068897
+0.00531626
+0.00397998
+0.00275374
+0.00158732
+0.000380815
+-0.00110297
+-0.00263367
+-0.00452527
+-0.00599955
+-0.0065115
+-0.00534693
+-0.00420946
+-0.00277025
+-0.00156092
+-0.000257703
+0.000441801
+0.00132898
+0.00182238
+0.00242773
+0.00352042
+0.00496833
+0.00654871
+0.00811956
+0.00985477
+0.0117277
+0.0136759
+0.0156882
+0.0177429
+0.0198076
+0.021877
+0.0220812
+0.0206995
+0.0194471
+0.0183431
+0.0174455
+0.0167244
+0.0161605
+0.0157689
+0.0155526
+0.0156431
+0.0160353
+0.0166939
+0.0175627
+0.0186378
+0.0198801
+0.0212063
+0.0226609
+0.0424665
+0.0416217
+0.0408612
+0.0402057
+0.0396606
+0.0392264
+0.0388911
+0.0386771
+0.0385662
+0.0385277
+0.0386137
+0.0388083
+0.0391159
+0.0395426
+0.0400847
+0.0406548
+0.0412666
+0.041975
+0.0427839
+0.0436519
+0.0445383
+0.0435358
+0.0426225
+0.0418041
+0.0410571
+0.0399068
+0.0382262
+0.0365996
+0.0349714
+0.0333584
+0.0317765
+0.0302704
+0.0287947
+0.027381
+0.0259244
+0.0245576
+0.0231649
+0.0218757
+0.0206729
+0.019579
+0.0185376
+0.017652
+0.0169006
+0.0163719
+0.0161063
+0.0159729
+0.0156678
+0.0144719
+0.0133738
+0.0123221
+0.0109732
+0.00940106
+0.00782778
+0.00632971
+0.00491623
+0.00382289
+0.00271149
+0.00119568
+-0.000384996
+-0.00208425
+-0.0034447
+-0.00463828
+-0.00547692
+-0.00392095
+-0.00264928
+-0.00142028
+-8.38033e-05
+0.00119171
+0.00170333
+0.00237827
+0.00317018
+0.00375364
+0.00477303
+0.00601981
+0.00748256
+0.0090276
+0.0106998
+0.0124897
+0.0143563
+0.0163037
+0.0182819
+0.0202792
+0.0223042
+0.0227967
+0.0214612
+0.0202336
+0.0190423
+0.0180241
+0.0172257
+0.0166761
+0.0162996
+0.0160905
+0.016178
+0.0165575
+0.0171125
+0.0179093
+0.018913
+0.0200664
+0.0213822
+0.0228078
+0.0433132
+0.0425002
+0.0417675
+0.0411265
+0.0405937
+0.0401696
+0.0398422
+0.0396334
+0.039545
+0.0395473
+0.039631
+0.0398352
+0.0401543
+0.0405701
+0.0410987
+0.0417269
+0.0424317
+0.0431937
+0.0440103
+0.0448855
+0.0458328
+0.0453543
+0.0444783
+0.0436938
+0.0429383
+0.0412649
+0.0396419
+0.0380357
+0.0364439
+0.0348643
+0.0333538
+0.031888
+0.0304644
+0.029
+0.0276117
+0.0262358
+0.0249155
+0.0236967
+0.0225519
+0.0214834
+0.0205182
+0.0196796
+0.0190084
+0.0185266
+0.0182924
+0.0181485
+0.0172645
+0.0160898
+0.0149768
+0.0136585
+0.0121218
+0.0106074
+0.00909705
+0.00759797
+0.0062959
+0.00494855
+0.00338479
+0.00198616
+0.000469128
+-0.00149424
+-0.0024051
+-0.003607
+-0.00385345
+-0.00276009
+-0.00126056
+6.9364e-05
+0.0013287
+0.00263324
+0.00321575
+0.00372996
+0.00455375
+0.00525297
+0.0061206
+0.00727335
+0.00872197
+0.0101793
+0.0117647
+0.0134639
+0.0152427
+0.0171013
+0.01902
+0.0209696
+0.0229337
+0.023504
+0.0221273
+0.0208834
+0.019703
+0.018663
+0.0178325
+0.0172419
+0.0168005
+0.0165976
+0.0166825
+0.0169702
+0.0174835
+0.0182133
+0.0191671
+0.0203133
+0.0216213
+0.0230288
+0.0442358
+0.04344
+0.0427373
+0.0421331
+0.0416213
+0.0412078
+0.0408888
+0.0406853
+0.0405992
+0.0406312
+0.0407361
+0.0409348
+0.0412491
+0.0416762
+0.042199
+0.0428141
+0.0435149
+0.0443131
+0.0451669
+0.046074
+0.0470657
+0.0472043
+0.0463633
+0.0455963
+0.0443118
+0.0426923
+0.0411033
+0.0395285
+0.0379539
+0.0364397
+0.0349821
+0.0335488
+0.0320799
+0.0306746
+0.0293124
+0.0279657
+0.0267306
+0.0255465
+0.0244648
+0.023436
+0.0225363
+0.0217389
+0.0211248
+0.020689
+0.0204725
+0.0200693
+0.0188988
+0.0177524
+0.0164858
+0.0149134
+0.0133916
+0.0118069
+0.0103402
+0.00877693
+0.00729873
+0.00592694
+0.00454449
+0.00256507
+0.000607523
+-0.000870016
+-0.0017436
+-0.0028319
+-0.00252889
+-0.0019654
+-1.23293e-05
+0.00133763
+0.00254547
+0.00398514
+0.00491307
+0.00519154
+0.00566706
+0.00658265
+0.00746409
+0.00849752
+0.00976447
+0.0113092
+0.0128179
+0.0143738
+0.0160374
+0.0177952
+0.019606
+0.0214876
+0.0234201
+0.0242293
+0.0228058
+0.0214894
+0.0203243
+0.0193006
+0.0183995
+0.0176796
+0.0172104
+0.0170124
+0.0170443
+0.0173515
+0.0179231
+0.0186439
+0.0195767
+0.0206588
+0.0218035
+0.0230385
+0.0452365
+0.0444507
+0.0437606
+0.0431707
+0.0426853
+0.0423078
+0.0420235
+0.0418256
+0.0417418
+0.041773
+0.0419071
+0.0421197
+0.0424252
+0.0428407
+0.0433591
+0.0439633
+0.0446661
+0.045444
+0.0463116
+0.0472262
+0.0482119
+0.0490824
+0.0482741
+0.0473654
+0.0457491
+0.0441752
+0.0426012
+0.0410447
+0.0395275
+0.0380761
+0.0366336
+0.0351623
+0.0337439
+0.032393
+0.0310254
+0.0297564
+0.0285632
+0.0274416
+0.0263803
+0.0254129
+0.0245567
+0.0238216
+0.0232519
+0.0228567
+0.0226512
+0.0217423
+0.0205617
+0.0192546
+0.0175827
+0.0159905
+0.0144403
+0.0129242
+0.0113402
+0.00965915
+0.00811849
+0.00687881
+0.00519066
+0.00339524
+0.00200308
+0.000810044
+-0.000614407
+-0.00133586
+-0.00121133
+-0.000853602
+0.000552288
+0.00241
+0.00394935
+0.00526532
+0.00637491
+0.00642204
+0.00667433
+0.00751041
+0.00842176
+0.0091901
+0.0103146
+0.0116592
+0.0130246
+0.0145578
+0.0161961
+0.0179527
+0.019796
+0.0216691
+0.0235896
+0.0248061
+0.0234173
+0.0221265
+0.0208951
+0.0198186
+0.0189352
+0.0182451
+0.0177907
+0.0175993
+0.0176689
+0.0179654
+0.0184608
+0.0191211
+0.0198605
+0.0207883
+0.0218566
+0.023084
+0.0463083
+0.045541
+0.0448676
+0.0442925
+0.0438195
+0.0434416
+0.043143
+0.0429502
+0.0428687
+0.042899
+0.0430409
+0.0432934
+0.0436363
+0.0440613
+0.0445901
+0.0451844
+0.0458693
+0.0466471
+0.0474971
+0.0484072
+0.0493802
+0.0504161
+0.0502022
+0.0488111
+0.0472417
+0.0456775
+0.0441365
+0.0426169
+0.0411577
+0.0397205
+0.0382462
+0.0368181
+0.0354652
+0.0340921
+0.0327954
+0.0315892
+0.0304281
+0.0293548
+0.0283344
+0.0274208
+0.0265992
+0.0259221
+0.0253899
+0.0250284
+0.0246219
+0.0234329
+0.0219295
+0.0202502
+0.0185807
+0.016968
+0.0154976
+0.0140636
+0.0123363
+0.0107376
+0.00936698
+0.00741894
+0.00545761
+0.00375364
+0.00253993
+0.00168381
+0.000660585
+0.000631546
+0.000931934
+0.00125488
+0.00188165
+0.00349476
+0.0051424
+0.00645153
+0.00792632
+0.00790789
+0.00811557
+0.00831828
+0.00893599
+0.00974544
+0.010843
+0.0120473
+0.0133657
+0.0148756
+0.0165342
+0.0182802
+0.0201122
+0.0219902
+0.0239176
+0.0254069
+0.0240387
+0.0227652
+0.0215719
+0.0205275
+0.0196574
+0.0190013
+0.0185624
+0.0183285
+0.0183548
+0.0185604
+0.0189313
+0.0194169
+0.0201305
+0.021042
+0.0220981
+0.0232884
+0.0474452
+0.0466954
+0.0460378
+0.0454762
+0.0450012
+0.0446225
+0.0443319
+0.0441443
+0.044065
+0.0440945
+0.0442326
+0.0444783
+0.0448298
+0.0452847
+0.0458022
+0.0464146
+0.047121
+0.0479
+0.0487439
+0.0496367
+0.0506035
+0.0516303
+0.0518773
+0.0503077
+0.0487564
+0.0472292
+0.0457073
+0.0442417
+0.0428091
+0.0413318
+0.0398959
+0.0385266
+0.037164
+0.0358446
+0.0346136
+0.033435
+0.0323339
+0.0312777
+0.0303088
+0.0294409
+0.0286637
+0.0280358
+0.0275361
+0.0272032
+0.0263556
+0.0246926
+0.0229884
+0.021285
+0.01965
+0.0181305
+0.0167159
+0.0151744
+0.0135565
+0.0120667
+0.0100575
+0.00814248
+0.00640661
+0.00493007
+0.0035457
+0.00234616
+0.00118097
+0.00132957
+0.00173698
+0.0021354
+0.00270575
+0.00410667
+0.00596751
+0.00765929
+0.00900467
+0.00887708
+0.00874843
+0.00900494
+0.00961758
+0.0105078
+0.0115467
+0.0127917
+0.0140261
+0.0154534
+0.0170435
+0.0187551
+0.0205479
+0.0223919
+0.0242935
+0.0260998
+0.024702
+0.0234219
+0.0222639
+0.0212511
+0.0203971
+0.0197327
+0.0192653
+0.0189821
+0.0189096
+0.019066
+0.0194172
+0.019891
+0.0205802
+0.0214362
+0.0224738
+0.0236451
+0.0486475
+0.0479166
+0.0472759
+0.0467145
+0.0462461
+0.0458777
+0.0455951
+0.0454127
+0.0453356
+0.0453643
+0.0454985
+0.0457374
+0.0460793
+0.0465184
+0.0470393
+0.0476553
+0.0483628
+0.0491449
+0.0500049
+0.0508947
+0.0518553
+0.052874
+0.0533774
+0.0518377
+0.0503117
+0.0487988
+0.0473275
+0.0458989
+0.0444192
+0.0429767
+0.0415934
+0.0402399
+0.0389014
+0.0376429
+0.0364568
+0.0353144
+0.0342472
+0.0332328
+0.0323095
+0.0314714
+0.0307456
+0.0301537
+0.0296888
+0.0292796
+0.0275265
+0.0258042
+0.024082
+0.0224394
+0.0208893
+0.0194266
+0.0180808
+0.0164759
+0.0148391
+0.0128987
+0.0110419
+0.00933118
+0.00778951
+0.00635994
+0.00495879
+0.00348156
+0.00257827
+0.0026325
+0.00321141
+0.00366436
+0.00417196
+0.00533637
+0.00690721
+0.00873006
+0.0102603
+0.00985487
+0.00973936
+0.0100333
+0.010619
+0.0114557
+0.0124646
+0.0136684
+0.0149023
+0.0162702
+0.0177994
+0.0194446
+0.0211873
+0.0229818
+0.0248383
+0.0267455
+0.0254333
+0.0241737
+0.0230538
+0.0220642
+0.0212437
+0.0205476
+0.0200065
+0.0196956
+0.0195871
+0.01961
+0.0198387
+0.0203027
+0.0209862
+0.0218554
+0.022874
+0.0240292
+0.0497115
+0.0492047
+0.0485651
+0.048015
+0.0475594
+0.0471952
+0.0469169
+0.0467396
+0.0466646
+0.0466924
+0.0468228
+0.047055
+0.0473873
+0.0478124
+0.0483193
+0.0489192
+0.0496087
+0.050384
+0.0512413
+0.0521711
+0.0531105
+0.0541198
+0.0549099
+0.053394
+0.0518911
+0.0504148
+0.0489897
+0.0475079
+0.0460598
+0.0446645
+0.0433189
+0.0419643
+0.0406826
+0.039481
+0.0383136
+0.0372279
+0.0361754
+0.0352055
+0.0343292
+0.0335222
+0.0328417
+0.0322806
+0.0318468
+0.0303956
+0.0286626
+0.0269441
+0.0252986
+0.0237305
+0.0222388
+0.0207727
+0.0192326
+0.0175671
+0.0156464
+0.0138063
+0.0120659
+0.0104662
+0.00910961
+0.00789762
+0.00638821
+0.00516183
+0.00450688
+0.00454677
+0.00508586
+0.00563733
+0.00605285
+0.00695577
+0.00829452
+0.00988014
+0.0114817
+0.0111326
+0.0110305
+0.0113007
+0.0118587
+0.0126694
+0.0136285
+0.014772
+0.0160161
+0.0173106
+0.0187588
+0.0203404
+0.0220193
+0.0237525
+0.0255539
+0.027412
+0.0261423
+0.0249148
+0.0237911
+0.0228229
+0.0219487
+0.0212296
+0.0207082
+0.0203402
+0.0201348
+0.0201667
+0.0204086
+0.0208153
+0.0214393
+0.0222622
+0.0232478
+0.0243291
+0.050648
+0.0501514
+0.0497465
+0.0493784
+0.04893
+0.0485628
+0.0482923
+0.0481202
+0.0480473
+0.0480743
+0.048201
+0.0484265
+0.0487496
+0.0491682
+0.049663
+0.0502469
+0.0509184
+0.0516741
+0.0525103
+0.0534234
+0.0544076
+0.0553833
+0.0564273
+0.0549822
+0.0535033
+0.0520722
+0.0505974
+0.0491448
+0.0477391
+0.0463944
+0.045032
+0.0437305
+0.0425021
+0.0413273
+0.0402037
+0.0391412
+0.0381313
+0.0372008
+0.0363507
+0.0355895
+0.0349493
+0.0344154
+0.0333058
+0.0315654
+0.0298533
+0.0282074
+0.026629
+0.0251183
+0.0234898
+0.0219137
+0.0203145
+0.0184198
+0.0165921
+0.0148344
+0.0132067
+0.0117631
+0.0105715
+0.0094177
+0.00809237
+0.00710367
+0.00660099
+0.00662763
+0.00714037
+0.00730827
+0.00784721
+0.00880305
+0.00991921
+0.0113272
+0.0128974
+0.0126352
+0.0125308
+0.0127473
+0.0132821
+0.0140629
+0.0150234
+0.0160758
+0.0172361
+0.0185321
+0.0199105
+0.0214071
+0.0227297
+0.0237931
+0.0250037
+0.0263412
+0.0269888
+0.0257117
+0.0245482
+0.0235316
+0.0226816
+0.0219826
+0.0213292
+0.0208606
+0.0206154
+0.0206015
+0.0208194
+0.0212353
+0.0218473
+0.0226554
+0.0236252
+0.0246901
+0.0515911
+0.0511219
+0.0507429
+0.0504564
+0.0502593
+0.0499891
+0.0497263
+0.0495591
+0.0494884
+0.0495147
+0.0496376
+0.0498567
+0.0501705
+0.0505773
+0.0510654
+0.0516334
+0.0522871
+0.0530233
+0.0538386
+0.0547295
+0.0556924
+0.0567034
+0.0577235
+0.0565929
+0.0551507
+0.0536871
+0.0522313
+0.0508166
+0.0494585
+0.0481037
+0.046785
+0.0455336
+0.0443519
+0.0431967
+0.0421229
+0.0410734
+0.0401026
+0.039217
+0.0383908
+0.0376709
+0.0370651
+0.0362471
+0.0345022
+0.032797
+0.0311526
+0.0295315
+0.0278723
+0.0262887
+0.0246926
+0.0230441
+0.0211495
+0.0193176
+0.0175681
+0.0159281
+0.014432
+0.0130988
+0.012017
+0.010789
+0.00967666
+0.00884845
+0.00840204
+0.00842412
+0.00884398
+0.00894265
+0.00942193
+0.0102686
+0.0114612
+0.0128562
+0.0127364
+0.0125609
+0.0127333
+0.0132503
+0.0140075
+0.0149727
+0.0159816
+0.0171452
+0.0180728
+0.018462
+0.0190626
+0.0198877
+0.0208867
+0.0220392
+0.023341
+0.0247683
+0.026301
+0.0264665
+0.0253392
+0.0243278
+0.0234199
+0.0225773
+0.0219173
+0.0214616
+0.0212233
+0.0212098
+0.0214215
+0.0218276
+0.0224234
+0.0232114
+0.0241729
+0.0251851
+0.0526043
+0.0521442
+0.0517728
+0.051492
+0.0513032
+0.0512076
+0.0511899
+0.0510516
+0.050983
+0.0510084
+0.0511278
+0.0513405
+0.0516453
+0.0520406
+0.0525073
+0.0530599
+0.0536962
+0.0544133
+0.0552081
+0.0560773
+0.0570174
+0.058025
+0.0590725
+0.0582313
+0.0567773
+0.0553188
+0.0538964
+0.0525266
+0.0511785
+0.0498449
+0.0485736
+0.0473695
+0.0462035
+0.045095
+0.0440362
+0.0430297
+0.0420938
+0.0412346
+0.0404467
+0.039764
+0.0391843
+0.0374571
+0.0357586
+0.03402
+0.0322943
+0.030628
+0.0290209
+0.0274929
+0.0257148
+0.0238311
+0.0220043
+0.0202499
+0.0185883
+0.0170351
+0.0156168
+0.0143936
+0.0133955
+0.0123059
+0.0113302
+0.0105589
+0.0101712
+0.0101936
+0.0105982
+0.0107663
+0.0111689
+0.0119304
+0.0129807
+0.0126378
+0.0124481
+0.012481
+0.0127551
+0.013281
+0.0140572
+0.0147129
+0.0151149
+0.0158108
+0.016033
+0.0164586
+0.0171296
+0.0180432
+0.0191171
+0.0203701
+0.0217718
+0.0232787
+0.0247283
+0.0262807
+0.0260299
+0.0250735
+0.0241562
+0.0233402
+0.0227024
+0.0222628
+0.0220331
+0.0220201
+0.0222241
+0.0226158
+0.0231913
+0.0239154
+0.0246696
+0.0255826
+0.0536879
+0.0532371
+0.0528734
+0.0525985
+0.0524137
+0.0523078
+0.0522881
+0.0523601
+0.0525235
+0.052551
+0.0526669
+0.0528734
+0.0531694
+0.0535416
+0.0539947
+0.0545322
+0.0551516
+0.05585
+0.0566246
+0.0574724
+0.05839
+0.0593744
+0.0604206
+0.0598683
+0.0584064
+0.0569782
+0.055598
+0.0542559
+0.0529092
+0.0516204
+0.0503938
+0.0492217
+0.0480829
+0.0470165
+0.0459714
+0.0449999
+0.0441039
+0.0432662
+0.042516
+0.0418671
+0.0403996
+0.0386054
+0.0368339
+0.0351097
+0.0334372
+0.0318197
+0.0302745
+0.0284721
+0.0266033
+0.0247873
+0.0230365
+0.021367
+0.0197812
+0.0183136
+0.0170024
+0.0158719
+0.0149689
+0.0140023
+0.0130831
+0.0124211
+0.0120793
+0.0120982
+0.0124526
+0.0119332
+0.0115985
+0.0115882
+0.0118845
+0.0118607
+0.0117472
+0.0119514
+0.0123893
+0.0123589
+0.0123288
+0.0125443
+0.0130136
+0.0138076
+0.0140387
+0.0145095
+0.0152664
+0.0162604
+0.0174435
+0.0188082
+0.0202381
+0.0216696
+0.0232198
+0.0248666
+0.026592
+0.0257346
+0.0248479
+0.0241231
+0.0235565
+0.0231839
+0.0230087
+0.0229939
+0.0231492
+0.0234398
+0.023914
+0.0245034
+0.0252645
+0.0261567
+0.054823
+0.0543817
+0.0540257
+0.0537566
+0.0535759
+0.0534729
+0.0534536
+0.053524
+0.0536839
+0.0539323
+0.0542509
+0.0544514
+0.0547319
+0.0550882
+0.0555288
+0.0560516
+0.0566543
+0.0573344
+0.0580893
+0.0589159
+0.0598114
+0.0607728
+0.0617968
+0.061494
+0.0600617
+0.0586723
+0.0573328
+0.0559773
+0.054673
+0.0534267
+0.0522426
+0.051084
+0.0499877
+0.0489319
+0.0479282
+0.0469879
+0.0461215
+0.0453127
+0.0445969
+0.0432561
+0.0414553
+0.0396901
+0.0379692
+0.0362922
+0.0346695
+0.0331123
+0.0312933
+0.0294406
+0.0276373
+0.0258939
+0.0242217
+0.0226185
+0.0211208
+0.019753
+0.0185363
+0.017497
+0.0166434
+0.0157029
+0.0149519
+0.0143762
+0.012997
+0.011711
+0.010667
+0.00985936
+0.00945148
+0.0094593
+0.00980462
+0.00969153
+0.00963759
+0.0100694
+0.0106118
+0.0101819
+0.0101417
+0.0103851
+0.0109472
+0.0118525
+0.0121122
+0.0126397
+0.0135018
+0.0145879
+0.015896
+0.0172179
+0.0186239
+0.0201703
+0.0218273
+0.0235716
+0.0253852
+0.0265289
+0.0256697
+0.0249631
+0.024416
+0.0240253
+0.0238127
+0.0237397
+0.0238124
+0.0240849
+0.0245507
+0.025199
+0.025997
+0.0268649
+0.0560186
+0.0555868
+0.0552385
+0.0549754
+0.0547986
+0.0547009
+0.054682
+0.0547509
+0.0549072
+0.0551501
+0.0554785
+0.0558909
+0.0563311
+0.0566774
+0.0571057
+0.0576141
+0.0582007
+0.0588629
+0.0595984
+0.0604044
+0.0612782
+0.0622169
+0.0632176
+0.0631467
+0.0617489
+0.0603982
+0.0590485
+0.0577304
+0.0564666
+0.0552608
+0.054096
+0.0529714
+0.0519085
+0.0508695
+0.0498976
+0.0489931
+0.0481463
+0.0473721
+0.0461339
+0.0443385
+0.0425801
+0.0408625
+0.0391842
+0.0375586
+0.0359931
+0.0341625
+0.0323258
+0.0305357
+0.0288011
+0.0271255
+0.0255165
+0.0239997
+0.0225938
+0.0213182
+0.0201846
+0.0191613
+0.0182593
+0.0166249
+0.0147662
+0.0130025
+0.011388
+0.00996235
+0.00874979
+0.00784925
+0.00733037
+0.00731862
+0.00775347
+0.00753485
+0.00746535
+0.00798397
+0.00851326
+0.00801202
+0.00795652
+0.00824243
+0.00893103
+0.00998619
+0.0102789
+0.0108902
+0.0118548
+0.0130696
+0.0142314
+0.0155989
+0.0171383
+0.0188072
+0.0205743
+0.0224163
+0.0243162
+0.0262614
+0.0266213
+0.0259153
+0.0253526
+0.0249596
+0.0246862
+0.0245615
+0.0246317
+0.0248953
+0.0253462
+0.0259746
+0.0267681
+0.0276661
+0.057273
+0.0568507
+0.0565102
+0.056253
+0.0560803
+0.0559877
+0.0559693
+0.0560366
+0.0561892
+0.0564266
+0.0567476
+0.0571509
+0.0576346
+0.0581969
+0.0587219
+0.0592165
+0.0597873
+0.0604322
+0.0611488
+0.0619347
+0.0627872
+0.0637036
+0.0646795
+0.0648275
+0.0634668
+0.0621223
+0.060792
+0.0595126
+0.0582874
+0.0571172
+0.0559676
+0.0548814
+0.0538281
+0.0528267
+0.0518828
+0.0510107
+0.050185
+0.0490191
+0.047249
+0.0454976
+0.0437814
+0.0421055
+0.0404787
+0.0388396
+0.0369772
+0.0351527
+0.0333706
+0.0316247
+0.029937
+0.0283183
+0.026781
+0.0253401
+0.0240128
+0.0227824
+0.0215729
+0.0195259
+0.0175136
+0.0155497
+0.0136399
+0.0117697
+0.00995739
+0.00832889
+0.00696043
+0.0059259
+0.00526654
+0.00520912
+0.00577167
+0.0053873
+0.00530762
+0.00597017
+0.00647601
+0.00585357
+0.00577532
+0.00613386
+0.00698797
+0.00825064
+0.00860756
+0.00932895
+0.0102689
+0.011305
+0.0126095
+0.0141349
+0.0158173
+0.0176119
+0.0194877
+0.0214178
+0.0233871
+0.0253924
+0.0274226
+0.0269555
+0.0264206
+0.0259699
+0.0256651
+0.0255452
+0.0256128
+0.0258664
+0.0263006
+0.0269067
+0.0276735
+0.0285394
+0.0585825
+0.0581697
+0.057837
+0.0575858
+0.0574171
+0.0573276
+0.0573096
+0.0573753
+0.0575244
+0.0577563
+0.05807
+0.0584641
+0.0589371
+0.059487
+0.0601118
+0.0608091
+0.0614112
+0.0620392
+0.0627374
+0.0635036
+0.0643353
+0.06523
+0.0661796
+0.0665381
+0.0651985
+0.0638571
+0.0625636
+0.0613212
+0.0601329
+0.0589743
+0.0578616
+0.0568016
+0.0557677
+0.0547953
+0.053884
+0.0530298
+0.0518991
+0.0501372
+0.0484104
+0.0467217
+0.0450504
+0.0434234
+0.0416522
+0.0398009
+0.0379856
+0.0362003
+0.0344581
+0.0327699
+0.0311443
+0.0295917
+0.0281241
+0.0267556
+0.0251758
+0.023045
+0.0209266
+0.0188247
+0.0167398
+0.0146726
+0.0126471
+0.010687
+0.00883264
+0.00695927
+0.00531512
+0.00408667
+0.00324227
+0.00319992
+0.00391695
+0.00327802
+0.00317949
+0.00409157
+0.00455946
+0.00372509
+0.00360539
+0.00410717
+0.00520936
+0.00672143
+0.0071313
+0.00762703
+0.00849791
+0.00968861
+0.0111833
+0.0128779
+0.0146932
+0.0165925
+0.0185534
+0.0205514
+0.0225852
+0.0246399
+0.0267097
+0.0281231
+0.027516
+0.0270516
+0.0267591
+0.0266441
+0.0267089
+0.0269522
+0.0273692
+0.0279029
+0.0284805
+0.0292113
+0.0599435
+0.0595401
+0.0592151
+0.0589698
+0.058805
+0.0587177
+0.0587001
+0.0587643
+0.0589099
+0.0591363
+0.0594427
+0.0598278
+0.0602901
+0.0608278
+0.0614389
+0.0621214
+0.0628728
+0.063681
+0.0643614
+0.0651085
+0.06592
+0.0667934
+0.0677173
+0.068271
+0.0668651
+0.0653643
+0.0639033
+0.062485
+0.0611123
+0.0597884
+0.0585166
+0.0573004
+0.0561433
+0.0550491
+0.0540216
+0.0530645
+0.0521646
+0.0513244
+0.0496303
+0.0479749
+0.046364
+0.0445028
+0.0426627
+0.0408508
+0.0390704
+0.0373336
+0.035647
+0.0340178
+0.0324547
+0.0309679
+0.029074
+0.0269219
+0.0247764
+0.0226342
+0.0204733
+0.0183195
+0.0161756
+0.0140461
+0.0119388
+0.0098632
+0.00782064
+0.00588396
+0.00402495
+0.00241223
+0.00136753
+0.00130391
+0.00229723
+0.00127633
+0.00108664
+0.00210316
+0.00284777
+0.00166022
+0.00147178
+0.0022723
+0.00371974
+0.00548943
+0.00539906
+0.00588787
+0.00691811
+0.00830781
+0.00998159
+0.0118056
+0.0137371
+0.0157367
+0.0177752
+0.0198355
+0.0219211
+0.0240254
+0.0261438
+0.0282733
+0.0286837
+0.0282386
+0.0279585
+0.0278485
+0.0279105
+0.0280563
+0.0283263
+0.0287513
+0.0293122
+0.0300228
+0.0613525
+0.0609585
+0.0606411
+0.0604015
+0.0602407
+0.0601554
+0.0601383
+0.0602009
+0.060343
+0.0605641
+0.0608633
+0.0612395
+0.0616912
+0.0622168
+0.0628144
+0.0634821
+0.0642175
+0.0650185
+0.0658827
+0.0667467
+0.0675385
+0.0683898
+0.0692901
+0.0684175
+0.0668798
+0.0653793
+0.0639187
+0.0625008
+0.0611284
+0.0598049
+0.0585335
+0.0573176
+0.0561608
+0.055067
+0.0540398
+0.0530831
+0.0521835
+0.0513617
+0.0506214
+0.0491784
+0.0473133
+0.0454772
+0.0436678
+0.0418925
+0.0401584
+0.0384708
+0.0368362
+0.035262
+0.033144
+0.0309647
+0.0287872
+0.0266119
+0.0244392
+0.0222702
+0.0201058
+0.0179478
+0.0157988
+0.013663
+0.0115479
+0.00939188
+0.00725578
+0.00516558
+0.00320565
+0.00140433
+-6.0272e-05
+-0.000275997
+0.00130195
+-0.000466329
+-0.000720371
+0.000110841
+0.00154021
+-7.66364e-05
+-0.000465561
+0.00092583
+0.00278709
+0.00413146
+0.00386666
+0.00434855
+0.00550506
+0.00714412
+0.00900995
+0.0109895
+0.013018
+0.0150917
+0.0171944
+0.0193167
+0.0214528
+0.0235989
+0.0257525
+0.0279118
+0.0299521
+0.0295261
+0.029142
+0.0289082
+0.0288395
+0.0289369
+0.0291988
+0.0295915
+0.030106
+0.0307682
+0.0628064
+0.0624215
+0.0621116
+0.0618777
+0.0617207
+0.0616375
+0.0616208
+0.0616819
+0.0618206
+0.0620365
+0.0623286
+0.062696
+0.0631372
+0.0636509
+0.0642352
+0.0648882
+0.0656079
+0.0663922
+0.0672387
+0.0681451
+0.0691091
+0.0700162
+0.0700726
+0.068502
+0.0669662
+0.0654677
+0.0640091
+0.0625932
+0.061223
+0.0599015
+0.0586318
+0.057416
+0.0562592
+0.0551652
+0.0541378
+0.0531791
+0.0522812
+0.051461
+0.0507221
+0.0500683
+0.0483038
+0.0464991
+0.044729
+0.0429976
+0.0413098
+0.0396011
+0.0374131
+0.0352255
+0.0330383
+0.0308515
+0.0286654
+0.0264801
+0.0242957
+0.0221125
+0.019931
+0.0177518
+0.0155758
+0.0134045
+0.0112408
+0.00906799
+0.00689964
+0.00475152
+0.00261831
+0.000500565
+-0.00158914
+-0.00062199
+0.000815593
+-0.00130741
+-0.00223006
+-0.000616062
+0.000836692
+-0.00110788
+-0.0019224
+5.45116e-05
+0.00212943
+0.0032678
+0.00265869
+0.003093
+0.00455113
+0.00638739
+0.00838894
+0.0104665
+0.0125826
+0.0147204
+0.0168719
+0.0190322
+0.0211989
+0.02337
+0.0255436
+0.0277193
+0.0298971
+0.0304878
+0.0301054
+0.0298792
+0.0298127
+0.0298998
+0.0301225
+0.0304942
+0.0309937
+0.0316373
+0.064302
+0.0639262
+0.0636236
+0.0633952
+0.063242
+0.0631608
+0.0631445
+0.0632041
+0.0633395
+0.0635502
+0.0638354
+0.0641942
+0.0646252
+0.0651271
+0.0656983
+0.0663369
+0.0670411
+0.0678088
+0.0686378
+0.069526
+0.0704711
+0.0714709
+0.0702203
+0.0686533
+0.0671203
+0.0656236
+0.0641667
+0.0627525
+0.0613839
+0.0600641
+0.0587963
+0.0575839
+0.0564306
+0.0553399
+0.0543158
+0.0533604
+0.0524655
+0.0516482
+0.0509121
+0.0502607
+0.0493625
+0.047598
+0.0458703
+0.0440074
+0.0418204
+0.0396339
+0.0374478
+0.0352624
+0.0330776
+0.0308937
+0.0287108
+0.0265292
+0.0243491
+0.0221713
+0.0199962
+0.0178193
+0.0156449
+0.0134759
+0.0113152
+0.00916872
+0.00701093
+0.00486449
+0.00276887
+0.000749081
+-0.000223523
+0.000251347
+0.00148589
+2.37068e-05
+-0.000263498
+0.000776054
+0.000942006
+-0.000535541
+-0.000899322
+0.000122207
+0.00216323
+0.00311788
+0.00217531
+0.00262455
+0.00419969
+0.00613096
+0.00819378
+0.0103095
+0.0124512
+0.0146074
+0.0167725
+0.0189436
+0.0211187
+0.0232967
+0.0254767
+0.0276572
+0.0298378
+0.0315178
+0.0311481
+0.0309295
+0.0308583
+0.0309193
+0.0311348
+0.031496
+0.0319798
+0.032604
+0.0658366
+0.0654695
+0.0651741
+0.0649512
+0.0648017
+0.0647224
+0.0647065
+0.0647647
+0.0648968
+0.0651025
+0.0653809
+0.0657312
+0.0661523
+0.0666427
+0.067201
+0.0678255
+0.0685143
+0.0692657
+0.0700774
+0.0709476
+0.071874
+0.0720208
+0.0704258
+0.0688635
+0.0673353
+0.0658434
+0.0643915
+0.0629824
+0.0616189
+0.0603042
+0.0590416
+0.0578343
+0.0566861
+0.0556005
+0.0545813
+0.0536305
+0.0527403
+0.0519273
+0.0511952
+0.0505475
+0.0499874
+0.0485026
+0.046318
+0.0441341
+0.0419509
+0.0397685
+0.0375871
+0.0354069
+0.033228
+0.0310507
+0.0288755
+0.0267029
+0.0245334
+0.022368
+0.0202082
+0.0180558
+0.0159138
+0.0137871
+0.0116841
+0.00962026
+0.00756513
+0.00556981
+0.0037546
+0.00239024
+0.00193286
+0.00211778
+0.00286806
+0.001827
+0.00179959
+0.00254399
+0.00247453
+0.00152881
+0.00128584
+0.00165071
+0.00309145
+0.00386796
+0.00306665
+0.00339234
+0.00473397
+0.00650859
+0.00848003
+0.0105384
+0.0126414
+0.0147699
+0.0169142
+0.0190691
+0.0212314
+0.0233989
+0.0255702
+0.0277434
+0.0299177
+0.0320939
+0.0323058
+0.0320884
+0.0319975
+0.0320564
+0.0322642
+0.0326129
+0.0330804
+0.0336842
+0.0674074
+0.067049
+0.0667605
+0.066543
+0.066397
+0.0663197
+0.0663041
+0.0663609
+0.0664899
+0.0666906
+0.0669624
+0.0673045
+0.0677158
+0.0681949
+0.0687406
+0.0693512
+0.0700251
+0.0707604
+0.0715552
+0.0724076
+0.0733156
+0.0722877
+0.0706986
+0.0691425
+0.0676206
+0.0661352
+0.0646898
+0.0632873
+0.0619306
+0.0606226
+0.0593667
+0.0581663
+0.0570247
+0.0559457
+0.0549329
+0.0539883
+0.0531041
+0.0522967
+0.0515698
+0.0509269
+0.0503711
+0.0486886
+0.0465128
+0.0443385
+0.0421659
+0.0399952
+0.0378269
+0.0356613
+0.033499
+0.0313405
+0.029187
+0.0270393
+0.0248992
+0.0227687
+0.0206507
+0.0185497
+0.0164721
+0.0144279
+0.0124326
+0.0104531
+0.00857089
+0.00681541
+0.00535046
+0.00443261
+0.0040531
+0.00416995
+0.00457448
+0.00385454
+0.00389048
+0.00445868
+0.0043367
+0.00366605
+0.00345609
+0.00366989
+0.00466361
+0.00532567
+0.00474908
+0.00495762
+0.00599781
+0.00753213
+0.00928883
+0.0111996
+0.0131976
+0.0152486
+0.0173339
+0.0194423
+0.0215671
+0.023704
+0.0258497
+0.0280012
+0.0301569
+0.032317
+0.0335495
+0.0333298
+0.0332422
+0.0332989
+0.033499
+0.033834
+0.0342849
+0.0348678
+0.069012
+0.0686619
+0.0683803
+0.0681679
+0.0680255
+0.06795
+0.0679348
+0.0679902
+0.0681161
+0.0683121
+0.0685775
+0.0689115
+0.0693132
+0.0697815
+0.0703148
+0.0709119
+0.0715711
+0.0722906
+0.0730688
+0.0739038
+0.0742322
+0.0726196
+0.071038
+0.0694894
+0.0679753
+0.0664978
+0.0650606
+0.0636662
+0.0623177
+0.0610181
+0.0597705
+0.0585783
+0.0574449
+0.0563739
+0.0553689
+0.054432
+0.0535551
+0.0527546
+0.0520341
+0.051397
+0.0508463
+0.048972
+0.0468094
+0.0446496
+0.0424929
+0.0403398
+0.038191
+0.0360473
+0.0339096
+0.0317791
+0.0296574
+0.0275464
+0.025449
+0.0233686
+0.0213104
+0.0192814
+0.017288
+0.0153265
+0.013435
+0.0116182
+0.00989932
+0.00840287
+0.00725237
+0.00655986
+0.00618995
+0.00628678
+0.00651131
+0.00598472
+0.00600965
+0.00648477
+0.00636449
+0.00583551
+0.00562782
+0.00576934
+0.0064912
+0.0071053
+0.00667959
+0.006839
+0.00762677
+0.00889309
+0.0104518
+0.0122063
+0.0140764
+0.0160153
+0.018012
+0.0200492
+0.0221159
+0.0242043
+0.0263093
+0.028426
+0.0305517
+0.0326857
+0.0348268
+0.0346609
+0.0345767
+0.0346312
+0.0348237
+0.0351467
+0.0355809
+0.036143
+0.0706481
+0.0703062
+0.0700312
+0.0698238
+0.0696848
+0.069611
+0.0695962
+0.0696503
+0.0697732
+0.0699646
+0.0702237
+0.07055
+0.0709424
+0.0713999
+0.0719213
+0.0725051
+0.07315
+0.0738541
+0.074616
+0.0754339
+0.0746198
+0.0730158
+0.071443
+0.0699034
+0.0683985
+0.0669303
+0.0655025
+0.0641178
+0.062779
+0.0614891
+0.0602512
+0.0590688
+0.057945
+0.0568834
+0.0558876
+0.0549594
+0.0540911
+0.0532987
+0.0525857
+0.0519553
+0.0514106
+0.0493512
+0.047206
+0.0450651
+0.0429293
+0.0407992
+0.038676
+0.0365607
+0.0344549
+0.0323603
+0.0302793
+0.028215
+0.0261711
+0.0241531
+0.0221609
+0.0201972
+0.0182853
+0.016443
+0.0146719
+0.0129876
+0.0114755
+0.010208
+0.00927476
+0.00865827
+0.00835266
+0.00844126
+0.00855368
+0.00814706
+0.00816083
+0.00858886
+0.00843744
+0.00801654
+0.00780962
+0.00791581
+0.00848484
+0.00904949
+0.00871494
+0.00885901
+0.00948039
+0.010526
+0.0118723
+0.0134426
+0.0151675
+0.0170001
+0.018909
+0.0208696
+0.0228622
+0.0248881
+0.0269397
+0.0290104
+0.0310962
+0.0331952
+0.0353054
+0.0360699
+0.035989
+0.0360414
+0.0362263
+0.036542
+0.0369615
+0.0375028
+0.0723136
+0.0719796
+0.071711
+0.0715085
+0.0713727
+0.0713007
+0.0712863
+0.0713391
+0.0714591
+0.0716459
+0.071899
+0.0722177
+0.0726011
+0.0730483
+0.073558
+0.0741289
+0.0747597
+0.0754489
+0.0761948
+0.0766931
+0.0750694
+0.0734752
+0.0719124
+0.0703831
+0.0688886
+0.0674312
+0.0660142
+0.0646404
+0.0633127
+0.0620339
+0.0608072
+0.0596357
+0.0585228
+0.0574719
+0.0564865
+0.0555683
+0.0547096
+0.0539263
+0.0532217
+0.052599
+0.0519534
+0.0498239
+0.0476999
+0.0455822
+0.0434718
+0.0413697
+0.0392774
+0.0371963
+0.0351286
+0.0330767
+0.0310438
+0.0290338
+0.0270429
+0.0250788
+0.0231554
+0.0212837
+0.0194787
+0.0177386
+0.0160769
+0.0145559
+0.0132242
+0.0121396
+0.0113385
+0.0107837
+0.010527
+0.0106105
+0.0106507
+0.0103214
+0.0103286
+0.010683
+0.0105564
+0.0101917
+0.00999531
+0.0100813
+0.0105569
+0.0110715
+0.0107997
+0.0109344
+0.0114436
+0.0123268
+0.0135003
+0.0149001
+0.0164731
+0.0181745
+0.0199714
+0.0218404
+0.0237644
+0.0257311
+0.0277293
+0.0297451
+0.0317827
+0.0338392
+0.0359115
+0.0375539
+0.0374762
+0.0375265
+0.0377042
+0.0380076
+0.0384174
+0.0389385
+0.0740024
+0.073676
+0.0734136
+0.0732158
+0.0730832
+0.0730161
+0.0730029
+0.0730545
+0.0731717
+0.0733542
+0.0736014
+0.0739127
+0.0742874
+0.0747245
+0.0752228
+0.0757812
+0.0763984
+0.0770729
+0.0778032
+0.0771928
+0.0755799
+0.0739966
+0.0724451
+0.0709273
+0.0694445
+0.067999
+0.0665941
+0.0652325
+0.0639171
+0.0626506
+0.0614362
+0.060277
+0.0591761
+0.0581371
+0.0571631
+0.056256
+0.055408
+0.0546346
+0.0539393
+0.0533249
+0.0524941
+0.0503874
+0.0482882
+0.0461976
+0.0441166
+0.0420468
+0.0399898
+0.0379479
+0.0359234
+0.0339196
+0.0319299
+0.0299659
+0.0280354
+0.0261459
+0.0243071
+0.0225313
+0.0208138
+0.0191684
+0.0176419
+0.0162679
+0.015088
+0.0141469
+0.0134424
+0.0129308
+0.0127069
+0.0127869
+0.0127755
+0.0125014
+0.0125044
+0.0127953
+0.0126888
+0.012348
+0.0121828
+0.0122558
+0.0126624
+0.0131345
+0.0129063
+0.0130457
+0.0134754
+0.0142331
+0.0152698
+0.0165202
+0.0179518
+0.0195248
+0.0212076
+0.0229763
+0.0248124
+0.026702
+0.0286345
+0.0306018
+0.0325977
+0.03461
+0.0366388
+0.0386853
+0.0390298
+0.0390781
+0.0392487
+0.0395403
+0.0399404
+0.0404419
+0.0757127
+0.0753938
+0.0751374
+0.0749441
+0.0748146
+0.0747491
+0.0747444
+0.0747948
+0.0749092
+0.0750875
+0.075329
+0.0756332
+0.0759994
+0.0764267
+0.076914
+0.0774602
+0.0780641
+0.0787243
+0.0792746
+0.077751
+0.0761499
+0.0745788
+0.0730396
+0.0715344
+0.0700645
+0.068632
+0.0672404
+0.0658922
+0.0645902
+0.0633372
+0.0621362
+0.0609902
+0.0599025
+0.0588762
+0.0579147
+0.0570196
+0.0561831
+0.0554206
+0.0547352
+0.0541299
+0.0531197
+0.0510389
+0.0489676
+0.0469072
+0.0448592
+0.0428253
+0.0408076
+0.0388078
+0.0368201
+0.0348562
+0.0329209
+0.0310196
+0.029159
+0.0273473
+0.0255949
+0.0238949
+0.0222617
+0.0207314
+0.0193288
+0.0180834
+0.0170298
+0.0161889
+0.0155409
+0.0150788
+0.0148779
+0.0149618
+0.0149089
+0.0146746
+0.0146846
+0.0149155
+0.0148328
+0.0145146
+0.0143713
+0.0144352
+0.014782
+0.0152333
+0.0150369
+0.015158
+0.0155504
+0.0162114
+0.017129
+0.0182599
+0.0195646
+0.0210172
+0.0225891
+0.0242572
+0.026003
+0.0278119
+0.0296722
+0.0315749
+0.0335129
+0.0354802
+0.0374724
+0.0394831
+0.0406421
+0.0406885
+0.0408524
+0.0411326
+0.0415233
+0.0420059
+0.0774473
+0.0771355
+0.0768849
+0.0766961
+0.0765695
+0.0765055
+0.0765041
+0.0765582
+0.07667
+0.0768441
+0.0770802
+0.0773775
+0.0777355
+0.0781533
+0.0786299
+0.0791642
+0.0797552
+0.0804016
+0.0799132
+0.0783665
+0.0767783
+0.0752203
+0.0736945
+0.072203
+0.070747
+0.0693285
+0.0679512
+0.0666174
+0.0653298
+0.0640913
+0.0629047
+0.061773
+0.0606993
+0.0596867
+0.0587384
+0.0578456
+0.057021
+0.0562698
+0.0555947
+0.0549987
+0.0538273
+0.0517749
+0.0497343
+0.047707
+0.0456949
+0.0436974
+0.0417122
+0.0397485
+0.0378098
+0.0359001
+0.0340242
+0.0321882
+0.0303992
+0.028666
+0.02698
+0.0253561
+0.0238232
+0.0224
+0.0211085
+0.0199744
+0.0190257
+0.0182597
+0.0176532
+0.0172272
+0.0170516
+0.0171263
+0.0170534
+0.016849
+0.0168537
+0.0170535
+0.0169887
+0.0166875
+0.0165603
+0.0166175
+0.0169197
+0.0173545
+0.0171827
+0.0172887
+0.0176534
+0.0182383
+0.0190586
+0.0200853
+0.0212809
+0.0226236
+0.0240909
+0.0256616
+0.0273178
+0.0290448
+0.0308309
+0.0326662
+0.034543
+0.0364548
+0.0383964
+0.0403635
+0.0423064
+0.042351
+0.0425085
+0.0427778
+0.0431568
+0.0436238
+0.0792045
+0.0788996
+0.0786547
+0.0784701
+0.0783464
+0.0782838
+0.0782825
+0.0783425
+0.0784524
+0.0786226
+0.0788533
+0.079144
+0.079494
+0.0799026
+0.0803688
+0.0808917
+0.0814702
+0.0820562
+0.0806063
+0.079038
+0.0774635
+0.0759196
+0.0744081
+0.0729312
+0.07149
+0.0700867
+0.0687245
+0.067406
+0.0661338
+0.0649106
+0.0637392
+0.0626226
+0.0615638
+0.060565
+0.0596179
+0.0587365
+0.0579247
+0.0571853
+0.0565211
+0.055935
+0.0546136
+0.0525919
+0.0505843
+0.0485885
+0.0466056
+0.0446422
+0.0427009
+0.0407848
+0.0388978
+0.0370442
+0.0352294
+0.0334595
+0.0317422
+0.0300677
+0.0284514
+0.0269165
+0.0254776
+0.024152
+0.0229593
+0.0219212
+0.0210604
+0.0203358
+0.0197825
+0.0193851
+0.0192292
+0.0192967
+0.0192083
+0.0190271
+0.0190246
+0.0192034
+0.019148
+0.0188645
+0.0187497
+0.0188018
+0.0190694
+0.0194769
+0.0193385
+0.0194327
+0.0197708
+0.0202993
+0.0210393
+0.0219737
+0.0230776
+0.0243213
+0.0256919
+0.0271702
+0.0287395
+0.0303859
+0.0320974
+0.0338642
+0.035678
+0.037532
+0.0394206
+0.041339
+0.0432833
+0.0440597
+0.0442111
+0.0444701
+0.0448348
+0.0452857
+0.0809828
+0.0806847
+0.0804451
+0.0802647
+0.0801437
+0.0800826
+0.0800813
+0.0801399
+0.080255
+0.0804214
+0.0806469
+0.0809312
+0.0812735
+0.0816732
+0.0821294
+0.0826411
+0.0832074
+0.0827893
+0.0813525
+0.079764
+0.0782041
+0.0766751
+0.0751789
+0.0737173
+0.0722919
+0.0709044
+0.0695582
+0.0682558
+0.0669997
+0.0657926
+0.0646373
+0.0635365
+0.0624913
+0.0614953
+0.060562
+0.0596946
+0.058896
+0.0581689
+0.0575161
+0.0569402
+0.0554753
+0.0534809
+0.0515
+0.0495368
+0.0475935
+0.0456726
+0.043777
+0.0419102
+0.0400762
+0.0382797
+0.0365263
+0.0348224
+0.0331573
+0.0315472
+0.0300107
+0.0285597
+0.0272079
+0.0259708
+0.0248655
+0.0239102
+0.0231207
+0.0224242
+0.0219089
+0.0215496
+0.0214095
+0.0214712
+0.0213705
+0.0212077
+0.0211993
+0.0213616
+0.0213049
+0.0210443
+0.0209376
+0.0209874
+0.0212275
+0.021613
+0.0215013
+0.0215862
+0.021891
+0.0223849
+0.0230581
+0.0239138
+0.024933
+0.0260926
+0.0273747
+0.0287666
+0.0302533
+0.0318214
+0.0334596
+0.0351579
+0.0369082
+0.0387034
+0.0405375
+0.0424054
+0.0443029
+0.0458095
+0.0459552
+0.0462044
+0.0465483
+0.0469793
+0.0827809
+0.0824892
+0.082255
+0.0820785
+0.0819602
+0.0819004
+0.0818992
+0.0819565
+0.0820723
+0.0822371
+0.0824577
+0.0827358
+0.0830707
+0.0834617
+0.0839082
+0.0844092
+0.0849637
+0.0835735
+0.0821169
+0.080543
+0.0789986
+0.0774852
+0.0760049
+0.0745596
+0.0731505
+0.0717796
+0.0704502
+0.0691646
+0.0679253
+0.066735
+0.0655962
+0.0645085
+0.0634684
+0.0624879
+0.0615697
+0.0607167
+0.0599316
+0.0592173
+0.0585762
+0.0580108
+0.0563952
+0.0544322
+0.0524872
+0.0505624
+0.04866
+0.0467829
+0.0449342
+0.0431175
+0.0413371
+0.0395979
+0.0379055
+0.0362484
+0.0346434
+0.0331057
+0.031645
+0.0302724
+0.0290005
+0.0278432
+0.0268151
+0.0259318
+0.0251687
+0.0245305
+0.0240458
+0.0237189
+0.0235917
+0.0236487
+0.023538
+0.0233903
+0.0233768
+0.0235258
+0.0234679
+0.0232262
+0.0231204
+0.023174
+0.0233916
+0.023759
+0.0236693
+0.0237464
+0.0240239
+0.0244889
+0.0251058
+0.0258938
+0.026838
+0.0279225
+0.0291251
+0.0304371
+0.0318459
+0.0333392
+0.0349062
+0.0365374
+0.0382245
+0.0399606
+0.0417395
+0.0435559
+0.0454053
+0.0472839
+0.0477281
+0.0479681
+0.0482971
+0.0487126
+0.0845974
+0.0843121
+0.0840829
+0.0839103
+0.0837946
+0.0837361
+0.0837349
+0.0837909
+0.0839042
+0.0840664
+0.0842822
+0.0845542
+0.0848819
+0.0852647
+0.0857018
+0.0861923
+0.0858488
+0.0844072
+0.0829317
+0.0813736
+0.0798452
+0.0783482
+0.0768846
+0.0754561
+0.0740641
+0.0727104
+0.0713983
+0.0701301
+0.0689082
+0.0677351
+0.0666086
+0.0655287
+0.0645051
+0.0635405
+0.0626377
+0.0617995
+0.0610284
+0.060327
+0.0596979
+0.0591432
+0.0573818
+0.0554537
+0.0535459
+0.0516605
+0.0498001
+0.0479676
+0.0461664
+0.0444002
+0.0426733
+0.0409908
+0.0393406
+0.03774
+0.0362012
+0.0347325
+0.0333431
+0.0320433
+0.0308446
+0.029759
+0.0287995
+0.0279789
+0.0272389
+0.0266503
+0.0261916
+0.0258918
+0.0257753
+0.0258284
+0.0257094
+0.0255743
+0.0255566
+0.0256945
+0.0256357
+0.0254096
+0.0253046
+0.0253613
+0.0255603
+0.0259097
+0.0258335
+0.0259118
+0.0261663
+0.0265993
+0.0271757
+0.0279054
+0.0287836
+0.0297974
+0.0309316
+0.03217
+0.033506
+0.0349284
+0.0364271
+0.0379931
+0.0396183
+0.0412958
+0.0430195
+0.044784
+0.0465847
+0.0484176
+0.0495308
+0.0497621
+0.0500805
+0.0504814
+0.0864314
+0.0861521
+0.0859278
+0.0857589
+0.0856457
+0.0855885
+0.0855873
+0.0856422
+0.085753
+0.0859126
+0.0861237
+0.08639
+0.0867108
+0.0870855
+0.0875135
+0.0879939
+0.086716
+0.0852891
+0.083787
+0.0822451
+0.0807332
+0.079253
+0.0778063
+0.0763951
+0.0750213
+0.073687
+0.0723945
+0.0711459
+0.0699437
+0.0687843
+0.0676681
+0.0666053
+0.0655985
+0.0646503
+0.0637632
+0.06294
+0.062183
+0.0614948
+0.0608777
+0.0603339
+0.0584339
+0.0565418
+0.0546719
+0.0528267
+0.0510089
+0.0492214
+0.0474678
+0.0457518
+0.0440779
+0.0424337
+0.0408368
+0.0392971
+0.0378217
+0.0364184
+0.0350958
+0.0338634
+0.0327314
+0.0317105
+0.0308118
+0.0300229
+0.0293267
+0.0287808
+0.0283443
+0.0280674
+0.02796
+0.0280099
+0.0278838
+0.0277569
+0.0277381
+0.0278666
+0.0278071
+0.027587
+0.0274899
+0.0275491
+0.0277279
+0.0280484
+0.0279989
+0.0280811
+0.0283161
+0.0287167
+0.0292632
+0.0299421
+0.0307623
+0.0317128
+0.0327824
+0.0339559
+0.0352243
+0.0365799
+0.0380136
+0.0395167
+0.0410817
+0.0427018
+0.0443709
+0.0460837
+0.0478355
+0.0496222
+0.0513636
+0.0515867
+0.0518947
+0.0522822
+0.0882816
+0.0880082
+0.0877887
+0.0876233
+0.0875126
+0.0874565
+0.0874554
+0.0875091
+0.0876175
+0.0877746
+0.0879813
+0.0882419
+0.088556
+0.0889229
+0.0893421
+0.0890727
+0.0876294
+0.0862176
+0.0846882
+0.083163
+0.0816681
+0.0802052
+0.078776
+0.0773824
+0.0760265
+0.0747102
+0.0734356
+0.072205
+0.0710207
+0.0698794
+0.0687811
+0.0677357
+0.066746
+0.0658143
+0.0649431
+0.064135
+0.0633923
+0.0627174
+0.0621125
+0.0614257
+0.0595481
+0.0576925
+0.0558612
+0.0540566
+0.0522815
+0.0505391
+0.0488328
+0.0471665
+0.0455274
+0.0439337
+0.0423933
+0.0409123
+0.0394973
+0.0381557
+0.0368954
+0.0357252
+0.034654
+0.0336914
+0.0328469
+0.032079
+0.0314284
+0.0309129
+0.0305024
+0.0302453
+0.0301456
+0.0301927
+0.0300606
+0.0299384
+0.029921
+0.0300414
+0.0299812
+0.029766
+0.0296759
+0.0297374
+0.0298971
+0.0301946
+0.0301679
+0.0302534
+0.0304717
+0.0308444
+0.0313648
+0.0319991
+0.0327679
+0.0336618
+0.0346714
+0.0357867
+0.0369925
+0.0382856
+0.0396576
+0.0411006
+0.0426075
+0.0441716
+0.0457872
+0.0474489
+0.0491521
+0.0508926
+0.0526667
+0.0534389
+0.0537363
+0.0541117
+0.0901471
+0.0898794
+0.0896644
+0.0895025
+0.0893941
+0.0893392
+0.0893381
+0.0893907
+0.0894968
+0.0896515
+0.0898538
+0.0901091
+0.0904166
+0.0907761
+0.0911867
+0.0900155
+0.0885876
+0.087173
+0.085636
+0.084128
+0.0826505
+0.0812053
+0.079794
+0.0784185
+0.0770808
+0.0757828
+0.0745266
+0.0733144
+0.0721483
+0.0710253
+0.0699449
+0.0689173
+0.0679447
+0.0670297
+0.0661745
+0.0653816
+0.0646533
+0.0639916
+0.0633989
+0.0625633
+0.0607209
+0.0589022
+0.0571097
+0.0553459
+0.0536135
+0.0519158
+0.0502562
+0.0486217
+0.0470308
+0.0454898
+0.0440039
+0.042579
+0.0412212
+0.0399375
+0.0387353
+0.0376223
+0.0366067
+0.0356968
+0.0348894
+0.0341519
+0.0335416
+0.0330485
+0.0326648
+0.0324248
+0.0323319
+0.0323765
+0.0322393
+0.0321211
+0.0321049
+0.0322184
+0.0321577
+0.0319465
+0.0318626
+0.0319259
+0.0320692
+0.0323467
+0.0323398
+0.0324249
+0.0326295
+0.0329778
+0.0334661
+0.0340728
+0.0347958
+0.0356389
+0.036594
+0.0376524
+0.0388038
+0.0400384
+0.0413523
+0.0427382
+0.0441892
+0.0456993
+0.0472626
+0.0488742
+0.0505294
+0.052224
+0.0539543
+0.0553158
+0.0556031
+0.0559672
+0.0920269
+0.0917646
+0.0915541
+0.0913956
+0.0912894
+0.0912357
+0.0912346
+0.091286
+0.09139
+0.0915423
+0.0917405
+0.0919905
+0.0922918
+0.0926439
+0.0924439
+0.0910013
+0.0895891
+0.0881485
+0.0866288
+0.0851384
+0.0836787
+0.0822516
+0.0808586
+0.0795015
+0.0781823
+0.0769029
+0.0756653
+0.0744716
+0.0733239
+0.0722195
+0.0711572
+0.0701473
+0.0691921
+0.0682937
+0.0674546
+0.0666769
+0.0659629
+0.0653145
+0.0647338
+0.0637559
+0.0619489
+0.0601674
+0.0584138
+0.0566905
+0.0550005
+0.053347
+0.0517165
+0.0501281
+0.0485865
+0.0470964
+0.0456629
+0.0442913
+0.0429877
+0.0417583
+0.04061
+0.0395498
+0.038585
+0.0377229
+0.0369345
+0.0362387
+0.0356641
+0.0351908
+0.0348307
+0.0346058
+0.0345188
+0.0345604
+0.0344195
+0.0343048
+0.0342896
+0.0343971
+0.0343359
+0.0341283
+0.0340498
+0.0341121
+0.0342436
+0.0345037
+0.0345141
+0.0345938
+0.0347907
+0.0351176
+0.0355766
+0.0361604
+0.0368424
+0.0376397
+0.0385452
+0.0395514
+0.0406509
+0.0418326
+0.0430918
+0.0444234
+0.0458211
+0.0472791
+0.0487919
+0.0503545
+0.0519625
+0.0536119
+0.0552988
+0.05702
+0.0574929
+0.0578462
+0.0939201
+0.0936632
+0.093457
+0.0933017
+0.0931977
+0.0931451
+0.0931439
+0.0931944
+0.0932962
+0.0934462
+0.0936404
+0.0938853
+0.0941806
+0.0945257
+0.0934554
+0.0920287
+0.0906324
+0.0891671
+0.0876651
+0.0861926
+0.0847511
+0.0833423
+0.0819679
+0.0806295
+0.0793291
+0.0780685
+0.0768496
+0.0756746
+0.0745454
+0.0734595
+0.0724155
+0.0714234
+0.0704854
+0.0696038
+0.0687807
+0.0680181
+0.0673183
+0.0666831
+0.0661145
+0.0650005
+0.0632291
+0.0614847
+0.0597697
+0.0580866
+0.0564383
+0.0548116
+0.0532254
+0.0516834
+0.0501896
+0.0487486
+0.047365
+0.0460442
+0.0447916
+0.0436132
+0.042515
+0.0415035
+0.0405851
+0.0397638
+0.0389955
+0.0383371
+0.0377943
+0.0373388
+0.0369996
+0.0367879
+0.0367061
+0.0367443
+0.0366009
+0.0364894
+0.0364751
+0.0365773
+0.0365156
+0.0363112
+0.0362374
+0.036296
+0.03642
+0.0366646
+0.0366903
+0.0367654
+0.0369554
+0.0372633
+0.0376962
+0.0382498
+0.0389046
+0.0396605
+0.0405209
+0.0414792
+0.0425289
+0.0436629
+0.0448708
+0.0461511
+0.047498
+0.048906
+0.0503699
+0.0518851
+0.0534471
+0.055052
+0.0566961
+0.0583761
+0.0594033
+0.0597464
+0.0894994
+0.0880042
+0.0865386
+0.0851034
+0.0836909
+0.0823123
+0.0809694
+0.0796641
+0.0783364
+0.0769226
+0.075546
+0.0742084
+0.0729122
+0.0716443
+0.0703693
+0.069078
+0.0678112
+0.0665923
+0.0654242
+0.0643094
+0.0632509
+0.0621515
+0.061083
+0.0600628
+0.059096
+0.0581958
+0.0573313
+0.0563299
+0.0553765
+0.0544916
+0.0536725
+0.0529262
+0.0522411
+0.0515702
+0.0509443
+0.0500853
+0.0491094
+0.0481967
+0.0473679
+0.0466158
+0.0459474
+0.045375
+0.0449023
+0.0445325
+0.0442099
+0.0439894
+0.0438684
+0.0438444
+0.0439297
+0.0441238
+0.0444187
+0.044783
+0.0452308
+0.0457793
+0.0464247
+0.0471631
+0.0479903
+0.0489016
+0.0498926
+0.0509463
+0.0507376
+0.0500421
+0.049434
+0.0488857
+0.0483934
+0.0479875
+0.0476574
+0.0473865
+0.0471988
+0.0471123
+0.0471276
+0.0468723
+0.0464569
+0.0461419
+0.0459293
+0.0458206
+0.0458004
+0.0458808
+0.0460653
+0.0463528
+0.0467413
+0.0472283
+0.0478108
+0.0484854
+0.0492482
+0.0500954
+0.0510225
+0.0520222
+0.0530888
+0.0537321
+0.0543877
+0.0551226
+0.0559337
+0.0568177
+0.0577714
+0.0587912
+0.0598739
+0.061016
+0.0622143
+0.0634656
+0.0879863
+0.0864679
+0.0849758
+0.0835145
+0.0820829
+0.0806767
+0.0793061
+0.077973
+0.0766793
+0.0753206
+0.0739141
+0.0725465
+0.07122
+0.069937
+0.0686745
+0.0673977
+0.0661007
+0.0648497
+0.0636496
+0.0625032
+0.0614136
+0.0603576
+0.0592568
+0.0582169
+0.0572195
+0.0562893
+0.05543
+0.054476
+0.0534896
+0.052576
+0.0517284
+0.0509535
+0.0502623
+0.0495732
+0.0489398
+0.0482031
+0.0472085
+0.0462584
+0.0453941
+0.0446138
+0.043915
+0.0433157
+0.0428203
+0.0424323
+0.0420967
+0.0418651
+0.0417348
+0.0417096
+0.0417992
+0.0420031
+0.0423089
+0.0426837
+0.0431534
+0.0437279
+0.0444031
+0.0451746
+0.0460375
+0.0469867
+0.0480117
+0.0491022
+0.0486778
+0.0479554
+0.0473205
+0.0467579
+0.046253
+0.0458282
+0.0454883
+0.0452106
+0.0450138
+0.0449231
+0.0449391
+0.0447827
+0.0443478
+0.0440177
+0.0437948
+0.0436808
+0.04366
+0.0437444
+0.0439379
+0.0442392
+0.044646
+0.0451557
+0.0457646
+0.0464689
+0.0472643
+0.0481463
+0.0491103
+0.0501437
+0.0511383
+0.051734
+0.0524146
+0.0531768
+0.0540171
+0.054932
+0.0559178
+0.0569709
+0.0580874
+0.059264
+0.060497
+0.0617831
+0.0864076
+0.0849603
+0.0834413
+0.0819526
+0.0804961
+0.079068
+0.0776691
+0.0763074
+0.0749849
+0.0737039
+0.0723117
+0.0709132
+0.0695556
+0.0682413
+0.0669725
+0.0656992
+0.0644193
+0.063135
+0.0619016
+0.0607222
+0.0596001
+0.0585384
+0.057456
+0.0563827
+0.0553661
+0.0544042
+0.0535146
+0.0526347
+0.0516267
+0.0506795
+0.0498047
+0.0489994
+0.0482802
+0.0475933
+0.0469519
+0.046348
+0.0453149
+0.0443435
+0.0434412
+0.0426304
+0.0418984
+0.0412699
+0.0407496
+0.0403418
+0.039991
+0.0397471
+0.0396075
+0.0395808
+0.0396753
+0.0398901
+0.0402078
+0.0405941
+0.0410877
+0.0416906
+0.0423983
+0.0432056
+0.044107
+0.045097
+0.0461544
+0.0472877
+0.0466284
+0.0458785
+0.0452144
+0.0446361
+0.0441176
+0.0436719
+0.0433214
+0.043036
+0.0428293
+0.042734
+0.0427506
+0.0427034
+0.042247
+0.0419004
+0.0416662
+0.0415463
+0.0415249
+0.0416136
+0.041817
+0.0421334
+0.0425605
+0.0430947
+0.0437323
+0.0444688
+0.0452994
+0.046219
+0.0472182
+0.0482914
+0.0491324
+0.0497522
+0.0504595
+0.0512508
+0.0521222
+0.0530698
+0.0540895
+0.0551774
+0.0563296
+0.0575421
+0.0588112
+0.0601334
+0.0848562
+0.0834002
+0.0819366
+0.0804201
+0.0789353
+0.077484
+0.0760599
+0.0746688
+0.0733168
+0.0720062
+0.070739
+0.0693107
+0.0679211
+0.0665746
+0.0652738
+0.0640122
+0.0627359
+0.0614505
+0.0601826
+0.0589689
+0.0578127
+0.0567176
+0.0556832
+0.0545747
+0.0535253
+0.0525428
+0.0516212
+0.0507551
+0.0497896
+0.0488077
+0.0479039
+0.0470661
+0.0463169
+0.0456327
+0.0449699
+0.0443558
+0.043447
+0.0424553
+0.041512
+0.0406649
+0.0399003
+0.0392398
+0.0386922
+0.0382624
+0.0378924
+0.0376349
+0.0374874
+0.0374593
+0.0375591
+0.0377859
+0.038115
+0.0385158
+0.0390356
+0.0396698
+0.0404129
+0.041259
+0.0422021
+0.0432276
+0.0443275
+0.0454641
+0.0445925
+0.0438125
+0.0431167
+0.0425213
+0.0419861
+0.0415193
+0.0411569
+0.0408632
+0.0406455
+0.040545
+0.0405624
+0.0406357
+0.0401558
+0.039791
+0.0395443
+0.039418
+0.039396
+0.0394894
+0.0397037
+0.0400368
+0.040486
+0.0410473
+0.0417162
+0.0424876
+0.0433562
+0.044316
+0.0453523
+0.0464687
+0.047143
+0.0477886
+0.0485245
+0.0493469
+0.0502513
+0.0512335
+0.0522891
+0.0534137
+0.054603
+0.055853
+0.0571597
+0.0585192
+0.0833335
+0.0818503
+0.0803996
+0.0789186
+0.077405
+0.0759244
+0.0744788
+0.0730592
+0.0716769
+0.0703356
+0.0690379
+0.0677412
+0.0663187
+0.0649389
+0.0636047
+0.062319
+0.0610632
+0.0597845
+0.0584952
+0.0572457
+0.056054
+0.0549238
+0.0538591
+0.0527957
+0.0517102
+0.0506961
+0.0497521
+0.0488761
+0.0479698
+0.0469634
+0.0460245
+0.0451564
+0.0443749
+0.0436894
+0.0430012
+0.0423795
+0.0416105
+0.0405751
+0.03961
+0.0387213
+0.0379234
+0.0372279
+0.0366502
+0.0361962
+0.0358049
+0.0355323
+0.035376
+0.0353461
+0.0354519
+0.035691
+0.0360268
+0.0364506
+0.0369994
+0.0376679
+0.0384497
+0.0393381
+0.0403202
+0.0413875
+0.042535
+0.043484
+0.0425719
+0.0417549
+0.0410288
+0.0404038
+0.0398539
+0.0393709
+0.0389941
+0.0386912
+0.0384624
+0.0383563
+0.0383744
+0.0384648
+0.0380759
+0.0376909
+0.0374304
+0.0372969
+0.0372741
+0.0373729
+0.0375992
+0.0379509
+0.0384244
+0.0390153
+0.0397185
+0.040528
+0.0414376
+0.0424358
+0.0435167
+0.0445965
+0.0451722
+0.0458456
+0.0466122
+0.0474677
+0.0484072
+0.0494261
+0.0505194
+0.0516826
+0.0529109
+0.0541999
+0.0555455
+0.0569435
+0.0817882
+0.0803304
+0.0788516
+0.0774067
+0.0759071
+0.0743967
+0.0729209
+0.0714804
+0.0700671
+0.0686944
+0.067365
+0.0660815
+0.0647507
+0.0633368
+0.0619681
+0.0606477
+0.0593787
+0.0581042
+0.0568421
+0.0555555
+0.0543267
+0.0531598
+0.052059
+0.0510286
+0.0499251
+0.048874
+0.0479001
+0.047
+0.046113
+0.0451406
+0.0441727
+0.0432732
+0.0424571
+0.0417402
+0.0410551
+0.0404252
+0.0398099
+0.0387264
+0.0377324
+0.0367984
+0.0359713
+0.0352373
+0.0346264
+0.0341455
+0.0337304
+0.0334409
+0.0332748
+0.033243
+0.0333555
+0.0336049
+0.0339515
+0.0344009
+0.0349819
+0.0356882
+0.0365124
+0.0374385
+0.0384657
+0.0395831
+0.0407814
+0.041523
+0.040569
+0.0397108
+0.0389521
+0.0382932
+0.0377255
+0.0372274
+0.0368287
+0.0365152
+0.0362803
+0.0361677
+0.0361868
+0.0362826
+0.0360058
+0.0355984
+0.0353225
+0.035181
+0.0351608
+0.0352654
+0.0355052
+0.0358774
+0.0363779
+0.0370015
+0.0377422
+0.0385932
+0.0395469
+0.0405865
+0.0417154
+0.0426205
+0.0432226
+0.0439259
+0.0447254
+0.0456163
+0.0465932
+0.0476508
+0.048784
+0.0499875
+0.0512565
+0.0525861
+0.0539719
+0.0554
+0.0802468
+0.0787954
+0.0773348
+0.0758609
+0.0744224
+0.0729028
+0.0713961
+0.0699256
+0.0684895
+0.0670845
+0.0657226
+0.0644064
+0.0631387
+0.061768
+0.0603667
+0.0590104
+0.0577055
+0.0564536
+0.0551605
+0.0539007
+0.0526333
+0.051428
+0.0502893
+0.0492219
+0.0481736
+0.0470834
+0.0460716
+0.0451436
+0.0442816
+0.0433461
+0.042349
+0.0414204
+0.040567
+0.039816
+0.0391348
+0.0384848
+0.0378886
+0.0369151
+0.0358779
+0.0349063
+0.0340358
+0.0332718
+0.0326242
+0.0321133
+0.0316716
+0.031363
+0.0311859
+0.031152
+0.031272
+0.0315326
+0.0318917
+0.0323697
+0.0329865
+0.0337342
+0.0345943
+0.0355688
+0.0366484
+0.0378195
+0.039072
+0.0395737
+0.0385865
+0.0376831
+0.0368879
+0.0361922
+0.0356047
+0.0350897
+0.0346664
+0.034341
+0.0340992
+0.0339795
+0.0339996
+0.0341015
+0.0339483
+0.0335159
+0.0332227
+0.0330723
+0.0330574
+0.0331687
+0.0334235
+0.0338186
+0.0343492
+0.035009
+0.0357909
+0.0366872
+0.0376832
+0.0387728
+0.039953
+0.0406666
+0.0412972
+0.0420327
+0.0428676
+0.0437962
+0.0448128
+0.0459115
+0.0470865
+0.0483324
+0.0496436
+0.0510153
+0.0524337
+0.0538962
+0.0787185
+0.0772565
+0.0758111
+0.0743476
+0.0728792
+0.0714337
+0.0699068
+0.0684042
+0.0669397
+0.0655084
+0.064113
+0.062763
+0.0614615
+0.0602116
+0.0587946
+0.0574101
+0.0560679
+0.0547804
+0.0535144
+0.0522346
+0.0509768
+0.0497314
+0.048553
+0.0474464
+0.046417
+0.0453279
+0.0442761
+0.0433096
+0.0424219
+0.0415299
+0.0405494
+0.039601
+0.0387086
+0.0379208
+0.0372431
+0.0365608
+0.0359572
+0.035147
+0.034056
+0.033051
+0.0321303
+0.0313359
+0.0306478
+0.0301033
+0.0296317
+0.0293017
+0.0291119
+0.0290757
+0.0292042
+0.0294774
+0.0298506
+0.0303607
+0.0310147
+0.0317976
+0.0327087
+0.0337377
+0.0348741
+0.0361028
+0.0374127
+0.0376509
+0.0366277
+0.0356748
+0.0348338
+0.0341024
+0.0334915
+0.0329558
+0.032508
+0.0321691
+0.0319195
+0.0317915
+0.0318128
+0.0319218
+0.0319085
+0.0314481
+0.0311354
+0.0309749
+0.0309662
+0.031085
+0.0313568
+0.0317776
+0.0323416
+0.0330415
+0.0338689
+0.0348135
+0.0358565
+0.037
+0.038191
+0.0387381
+0.0393995
+0.0401697
+0.0410426
+0.0420116
+0.0430703
+0.0442123
+0.0454313
+0.0467213
+0.0480765
+0.0494835
+0.0509366
+0.0524409
+0.0772075
+0.0757324
+0.074275
+0.0728363
+0.0713699
+0.0699076
+0.0684449
+0.06692
+0.0654222
+0.0639644
+0.0625387
+0.061154
+0.0598174
+0.0585324
+0.057256
+0.0558349
+0.0544649
+0.053143
+0.0518755
+0.0505882
+0.0493298
+0.0480748
+0.0468547
+0.0457071
+0.0446375
+0.0436119
+0.0425176
+0.0415101
+0.0405833
+0.0397113
+0.03879
+0.0377996
+0.0368852
+0.0360576
+0.0353466
+0.0346685
+0.0340572
+0.033429
+0.0322801
+0.0312392
+0.0302634
+0.0294187
+0.0287025
+0.0281204
+0.0276149
+0.0272605
+0.0270564
+0.0270174
+0.0271557
+0.0274432
+0.0278279
+0.028373
+0.0290621
+0.0298961
+0.0308634
+0.0319519
+0.0331496
+0.0344398
+0.0358107
+0.035759
+0.0346805
+0.0336892
+0.0327973
+0.0320262
+0.0313749
+0.0308224
+0.0303541
+0.03
+0.0297414
+0.029604
+0.0296267
+0.0297436
+0.0298901
+0.0293981
+0.0290634
+0.0288913
+0.0288848
+0.0290159
+0.0293069
+0.0297567
+0.0303583
+0.0311029
+0.0319805
+0.0329734
+0.0340728
+0.0352742
+0.0362631
+0.0368388
+0.0375338
+0.0383415
+0.039255
+0.040267
+0.0413704
+0.0425581
+0.0438231
+0.045159
+0.0465526
+0.0479944
+0.0494912
+0.0510381
+0.0757263
+0.0742255
+0.0727557
+0.0713034
+0.0698723
+0.0684028
+0.0669426
+0.0654663
+0.0639438
+0.0624515
+0.0610012
+0.059582
+0.0582094
+0.0568881
+0.0556217
+0.0543007
+0.052891
+0.0515358
+0.050239
+0.0489845
+0.0476838
+0.04645
+0.0451988
+0.044008
+0.0428961
+0.0418694
+0.0408009
+0.03975
+0.0387813
+0.0379047
+0.0370211
+0.0360392
+0.0350995
+0.0342287
+0.0334789
+0.0328133
+0.0321847
+0.031617
+0.0305579
+0.0294599
+0.0284428
+0.0275423
+0.0267751
+0.0261502
+0.0256266
+0.0252443
+0.0250238
+0.0249817
+0.025131
+0.0254123
+0.0258245
+0.0264067
+0.0271458
+0.0280369
+0.0290662
+0.0302194
+0.0314831
+0.0328389
+0.0342738
+0.033903
+0.0327635
+0.0317306
+0.030782
+0.0299639
+0.0292691
+0.0286933
+0.028206
+0.0278342
+0.0275653
+0.027417
+0.0274412
+0.0275674
+0.0277755
+0.0273699
+0.02701
+0.0268248
+0.0268178
+0.0269591
+0.027272
+0.0277548
+0.0283988
+0.0291934
+0.0301267
+0.0311786
+0.0323391
+0.0336025
+0.0343667
+0.0349736
+0.0357049
+0.0365531
+0.0375101
+0.038568
+0.0397186
+0.0409542
+0.0422673
+0.0436448
+0.0450731
+0.0465607
+0.0481022
+0.0496924
+0.0742802
+0.0727496
+0.0712534
+0.0697896
+0.0683431
+0.0669203
+0.0654442
+0.0639889
+0.0624993
+0.0609798
+0.0594938
+0.0580502
+0.0566405
+0.0552817
+0.0539776
+0.0527323
+0.0513623
+0.0499657
+0.0486278
+0.0473534
+0.0460831
+0.0448053
+0.0435901
+0.0423541
+0.0411976
+0.0401275
+0.0391189
+0.0380346
+0.0370213
+0.0361019
+0.035226
+0.0343283
+0.0333493
+0.0324447
+0.0316527
+0.0309907
+0.0303358
+0.0297483
+0.0288993
+0.0277358
+0.0266779
+0.0257157
+0.0248912
+0.0242177
+0.0236741
+0.0232598
+0.0230203
+0.0229745
+0.0231326
+0.0234072
+0.023854
+0.0244786
+0.0252741
+0.0262289
+0.0273264
+0.02855
+0.0298843
+0.0313094
+0.0328113
+0.0320835
+0.0308829
+0.029789
+0.0287923
+0.0279159
+0.0271768
+0.0265739
+0.0260649
+0.0256726
+0.0253917
+0.0252307
+0.0252567
+0.0253938
+0.025613
+0.0253688
+0.0249801
+0.0247797
+0.0247721
+0.024925
+0.0252631
+0.0257835
+0.0264755
+0.0273261
+0.028321
+0.0294375
+0.030664
+0.0319936
+0.0325073
+0.0331484
+0.033919
+0.0348107
+0.0358143
+0.0369208
+0.0381212
+0.0394069
+0.040765
+0.0421771
+0.0436535
+0.0451879
+0.0467746
+0.0484084
+0.0728712
+0.0713104
+0.0697834
+0.0682926
+0.0668354
+0.0653955
+0.0639793
+0.0624965
+0.0610331
+0.0595456
+0.0580298
+0.0565512
+0.055114
+0.0537165
+0.0523735
+0.0510891
+0.049868
+0.0484438
+0.0470626
+0.0457446
+0.0444955
+0.043209
+0.041958
+0.0407509
+0.0395476
+0.0384315
+0.0374105
+0.0363703
+0.0353094
+0.0343443
+0.0334781
+0.0326007
+0.0316447
+0.0307134
+0.0298755
+0.0291783
+0.0285348
+0.0279237
+0.0272945
+0.0260817
+0.0249661
+0.0239472
+0.0230615
+0.0223329
+0.0217671
+0.0213157
+0.0210541
+0.0210039
+0.0211681
+0.0214385
+0.0219251
+0.0225985
+0.0234578
+0.0244835
+0.0256557
+0.0269553
+0.0283647
+0.0298596
+0.0314269
+0.0303029
+0.0290459
+0.0278799
+0.026834
+0.0258914
+0.0251012
+0.0244617
+0.0239271
+0.0235129
+0.023216
+0.0230451
+0.0230733
+0.0232233
+0.0234556
+0.0234016
+0.0229797
+0.0227616
+0.0227534
+0.0229197
+0.023287
+0.0238506
+0.024597
+0.0255104
+0.0265733
+0.0277602
+0.0290575
+0.0301578
+0.0306917
+0.0313699
+0.0321831
+0.0331216
+0.0341749
+0.0353328
+0.0365853
+0.0379196
+0.0393119
+0.0407743
+0.0422997
+0.0438814
+0.0455137
+0.0471912
+0.0714854
+0.0699102
+0.068352
+0.0668292
+0.0653444
+0.0638949
+0.0624625
+0.0610395
+0.0595641
+0.0580875
+0.0566073
+0.055096
+0.053626
+0.0521965
+0.0508133
+0.0494884
+0.0482267
+0.0469748
+0.0455491
+0.044186
+0.0428915
+0.0416668
+0.0403681
+0.0391489
+0.0379523
+0.0367878
+0.0357199
+0.0347049
+0.0336523
+0.0326384
+0.0317434
+0.0308598
+0.029994
+0.029033
+0.0281567
+0.0274147
+0.0267742
+0.0261555
+0.0256297
+0.0244964
+0.0233246
+0.0222377
+0.0212971
+0.020509
+0.0199184
+0.0194241
+0.0191367
+0.0190815
+0.0192197
+0.0195171
+0.0200449
+0.0207792
+0.0217107
+0.0228151
+0.0240687
+0.0254494
+0.0269272
+0.0284873
+0.0299632
+0.0285646
+0.0272448
+0.0260153
+0.0249003
+0.0238962
+0.0230418
+0.0223488
+0.0217915
+0.0213507
+0.0210362
+0.0208606
+0.0208915
+0.0210565
+0.021305
+0.0214777
+0.0210172
+0.0207786
+0.0207696
+0.0209517
+0.0213528
+0.0219661
+0.0227744
+0.0237579
+0.0248958
+0.0261589
+0.0275318
+0.0283609
+0.0289281
+0.0296466
+0.0305059
+0.0314943
+0.0326002
+0.0338121
+0.0351167
+0.0364847
+0.0379297
+0.0394434
+0.0410183
+0.0426476
+0.0443253
+0.0460462
+0.0700033
+0.0685271
+0.0669616
+0.0654065
+0.0638887
+0.0624108
+0.0609699
+0.0595462
+0.0581161
+0.0566493
+0.0551586
+0.0536871
+0.0521813
+0.0507214
+0.049301
+0.0479344
+0.0466307
+0.0453953
+0.0440925
+0.0426829
+0.0413413
+0.0400747
+0.0388366
+0.0375678
+0.0363868
+0.0352038
+0.0340863
+0.0330763
+0.0320431
+0.030977
+0.0300329
+0.0291796
+0.0283179
+0.0274103
+0.0265075
+0.0257108
+0.0250523
+0.0244557
+0.0238925
+0.0229978
+0.0217484
+0.0206193
+0.0196014
+0.0187637
+0.0181031
+0.0175646
+0.0172628
+0.0171933
+0.0173293
+0.0176585
+0.018234
+0.0190383
+0.0200508
+0.0212417
+0.0225828
+0.0240364
+0.0255852
+0.0272223
+0.0283609
+0.026879
+0.0254954
+0.024197
+0.0230028
+0.0219383
+0.0210045
+0.0202524
+0.0196611
+0.019195
+0.0188588
+0.0186776
+0.0187118
+0.0188926
+0.0191635
+0.0196052
+0.0191044
+0.0188416
+0.0188317
+0.0190323
+0.019473
+0.0201436
+0.0210221
+0.0220838
+0.0233035
+0.0246484
+0.0261009
+0.0266232
+0.0272266
+0.0279888
+0.0288974
+0.029939
+0.0311003
+0.0323673
+0.0337053
+0.0351279
+0.0366264
+0.0381918
+0.0398163
+0.0414928
+0.0432154
+0.0449787
+0.0685591
+0.0670538
+0.0655791
+0.0640272
+0.0624758
+0.0609637
+0.0594939
+0.058063
+0.0566493
+0.0552117
+0.053755
+0.0522492
+0.0507879
+0.0492889
+0.0478404
+0.0464317
+0.0450846
+0.0438056
+0.042601
+0.0412414
+0.0398514
+0.0385358
+0.0373014
+0.0360505
+0.0348181
+0.0336831
+0.0325182
+0.0314579
+0.0304305
+0.0293837
+0.0283866
+0.0275281
+0.0266509
+0.0258007
+0.0249239
+0.024083
+0.0233787
+0.0228039
+0.0222356
+0.0215891
+0.0202835
+0.0190992
+0.0180125
+0.0171048
+0.0163708
+0.0157833
+0.0154365
+0.0153587
+0.015518
+0.0158848
+0.0165155
+0.0173994
+0.0185018
+0.0197862
+0.0212042
+0.0227348
+0.0243665
+0.0260802
+0.0268418
+0.0252711
+0.0237985
+0.0224238
+0.021162
+0.0200164
+0.0190012
+0.0181782
+0.0175448
+0.0170483
+0.016685
+0.0164967
+0.0165349
+0.0167335
+0.0170345
+0.0175259
+0.0172554
+0.0169639
+0.0169529
+0.017178
+0.017665
+0.0184016
+0.0193593
+0.0205073
+0.0218154
+0.0232465
+0.0244939
+0.0249569
+0.0255995
+0.0264088
+0.0273699
+0.0284674
+0.029686
+0.0309863
+0.0323802
+0.0338586
+0.0354108
+0.0370277
+0.038701
+0.0404238
+0.0421901
+0.0439945
+0.0671554
+0.0656179
+0.0641183
+0.0626455
+0.0611089
+0.0595621
+0.0580568
+0.0565962
+0.0551768
+0.0537747
+0.0523297
+0.0508651
+0.0493628
+0.0479136
+0.0464231
+0.0449856
+0.0435938
+0.0422697
+0.04102
+0.0398417
+0.0384286
+0.0370626
+0.0357772
+0.0345647
+0.0333196
+0.0321318
+0.0310257
+0.0299126
+0.0288889
+0.0278685
+0.0268184
+0.025908
+0.0250644
+0.0242427
+0.0234111
+0.0225419
+0.021783
+0.021176
+0.0206677
+0.0202321
+0.0189306
+0.0176862
+0.0165542
+0.0155709
+0.0147609
+0.01411
+0.0137173
+0.0136297
+0.0138158
+0.0142218
+0.0149211
+0.015894
+0.0170937
+0.0184577
+0.0199585
+0.0215777
+0.0232905
+0.0250779
+0.0253883
+0.0237564
+0.0221835
+0.0207231
+0.0193607
+0.0181371
+0.0170442
+0.0161246
+0.015435
+0.0149028
+0.0145162
+0.0143187
+0.0143622
+0.0145839
+0.0149234
+0.0154775
+0.0154921
+0.0151668
+0.0151544
+0.0154122
+0.0159532
+0.0167652
+0.0178112
+0.0190526
+0.0204539
+0.0219739
+0.0228724
+0.0233696
+0.0240551
+0.0249149
+0.0259318
+0.027088
+0.0283453
+0.0297016
+0.031153
+0.0326869
+0.0342923
+0.0359594
+0.0376802
+0.0394477
+0.0412557
+0.0430993
+0.0657946
+0.0642245
+0.0626917
+0.0611989
+0.0597285
+0.0582092
+0.0566679
+0.0551706
+0.0537209
+0.0523141
+0.0509222
+0.0494737
+0.0479955
+0.0465037
+0.045067
+0.0435882
+0.042154
+0.0407862
+0.0394896
+0.0382745
+0.0370806
+0.0356629
+0.0343252
+0.0330595
+0.0318801
+0.0306501
+0.0295175
+0.02843
+0.0273897
+0.0263592
+0.0253302
+0.0243642
+0.0235628
+0.0227119
+0.0218889
+0.0211002
+0.0202912
+0.019644
+0.0191819
+0.0187225
+0.0177237
+0.0164111
+0.015221
+0.014191
+0.0133177
+0.0125924
+0.0121508
+0.0120518
+0.0122619
+0.0127176
+0.0134951
+0.0145635
+0.0158413
+0.0172918
+0.0188855
+0.0205892
+0.0223779
+0.0242326
+0.0238959
+0.0223452
+0.0206749
+0.0190994
+0.0176455
+0.0163108
+0.0151419
+0.0141088
+0.0133313
+0.0127627
+0.0123552
+0.0121452
+0.012196
+0.0124485
+0.0128387
+0.0134551
+0.0138513
+0.0134865
+0.0134726
+0.0137571
+0.0143606
+0.0152576
+0.0164
+0.0177404
+0.0192376
+0.0208543
+0.0213255
+0.021857
+0.0225885
+0.023502
+0.0245774
+0.0257944
+0.0271125
+0.0285274
+0.0300356
+0.0316238
+0.0332804
+0.0349959
+0.0367618
+0.0385713
+0.0404186
+0.0422987
+0.0643748
+0.0628727
+0.0613084
+0.059781
+0.058296
+0.0568307
+0.0553225
+0.0537964
+0.0523087
+0.0508633
+0.0494704
+0.0480915
+0.0466486
+0.045156
+0.0436771
+0.0422544
+0.0407737
+0.0393589
+0.0380165
+0.0367527
+0.035579
+0.0343298
+0.0329392
+0.0316345
+0.0304147
+0.0292385
+0.0280592
+0.0269958
+0.0259408
+0.024935
+0.0239194
+0.0229056
+0.0220513
+0.0212638
+0.0204651
+0.0197177
+0.0189349
+0.0182393
+0.0177409
+0.017352
+0.0166652
+0.0153195
+0.0140711
+0.0129847
+0.0120364
+0.0112682
+0.0107783
+0.0106758
+0.0109284
+0.0114374
+0.0122961
+0.0134316
+0.0147942
+0.0163379
+0.0180162
+0.0197949
+0.0216492
+0.0229579
+0.0222223
+0.0208646
+0.0192974
+0.0175991
+0.0160207
+0.014566
+0.0132832
+0.0121537
+0.0112599
+0.0106295
+0.0102069
+0.00995962
+0.010031
+0.0103364
+0.0107912
+0.0114676
+0.012251
+0.0119273
+0.0119116
+0.0122669
+0.0129401
+0.0139289
+0.0151716
+0.0166115
+0.0182018
+0.0195584
+0.0198999
+0.0204675
+0.0212468
+0.0222156
+0.0233503
+0.024628
+0.026006
+0.027478
+0.0290408
+0.0306805
+0.0323854
+0.0341458
+0.0359536
+0.0378018
+0.039684
+0.041596
+0.0629977
+0.0614619
+0.0599667
+0.0584068
+0.0568859
+0.0554099
+0.0539551
+0.0524557
+0.0509515
+0.0494665
+0.0480332
+0.0466587
+0.0452958
+0.0438604
+0.0423529
+0.0408899
+0.0394667
+0.0380033
+0.0366125
+0.0353013
+0.0340777
+0.0329545
+0.031641
+0.0302854
+0.0290252
+0.0278635
+0.0266952
+0.0255814
+0.0246019
+0.023578
+0.0225733
+0.0215665
+0.0206619
+0.0199351
+0.0191588
+0.0183699
+0.0176735
+0.0169451
+0.016457
+0.0161632
+0.0157875
+0.0144377
+0.0131512
+0.0120244
+0.0110313
+0.0101881
+0.00967423
+0.00956145
+0.00984776
+0.0104162
+0.0113602
+0.0125664
+0.0140134
+0.0156343
+0.0173771
+0.0192093
+0.0211098
+0.0213242
+0.0205515
+0.0195087
+0.0178562
+0.0162562
+0.0145328
+0.0129513
+0.0114964
+0.0102904
+0.00922276
+0.00852295
+0.00806721
+0.00777595
+0.0078694
+0.0082349
+0.00878882
+0.0095659
+0.0104572
+0.0105653
+0.0105475
+0.0109761
+0.0117586
+0.0128387
+0.0141774
+0.0157072
+0.0173595
+0.0182581
+0.0186225
+0.0192277
+0.0200553
+0.0210789
+0.0222716
+0.0236077
+0.0250427
+0.0265682
+0.0281814
+0.0298684
+0.0316171
+0.0334175
+0.0352611
+0.0371424
+0.039056
+0.0409973
+0.0616676
+0.0600978
+0.0585679
+0.0570794
+0.0555264
+0.0540133
+0.0525479
+0.0511056
+0.0496123
+0.0481289
+0.0466545
+0.0452381
+0.0438855
+0.0425421
+0.0411028
+0.0395923
+0.0381356
+0.0367284
+0.0352874
+0.0339268
+0.0326544
+0.0314804
+0.0303826
+0.0290338
+0.0277239
+0.0265213
+0.0254217
+0.0242811
+0.0232528
+0.0223318
+0.0212913
+0.0203569
+0.0194126
+0.0186559
+0.017942
+0.0171821
+0.0165768
+0.0158479
+0.0153272
+0.015055
+0.014834
+0.013783
+0.012514
+0.0113641
+0.0103835
+0.00949847
+0.00894457
+0.00882342
+0.00913199
+0.00974226
+0.0107459
+0.0120139
+0.0135202
+0.0151938
+0.0169817
+0.0188523
+0.0207856
+0.0197984
+0.0189718
+0.018308
+0.0165439
+0.0148846
+0.0132307
+0.0114711
+0.00987371
+0.00844772
+0.00727393
+0.00642428
+0.00590361
+0.00559777
+0.0057291
+0.00617397
+0.00687135
+0.00778806
+0.00881181
+0.0094521
+0.00949112
+0.0099652
+0.0108397
+0.0120028
+0.013425
+0.0150234
+0.0167434
+0.0171401
+0.0175266
+0.0181684
+0.019042
+0.0201173
+0.0213637
+0.0227532
+0.0242397
+0.0258126
+0.0274703
+0.0291966
+0.0309816
+0.0328157
+0.0346913
+0.0366019
+0.0385423
+0.0405083
+0.0603746
+0.0587777
+0.0572187
+0.0556958
+0.0542119
+0.0526708
+0.051167
+0.0497143
+0.048282
+0.0467991
+0.0453398
+0.043881
+0.0424852
+0.0411586
+0.0398389
+0.0383744
+0.0368696
+0.0354364
+0.0340519
+0.0326397
+0.0313173
+0.0300938
+0.0289817
+0.027883
+0.0265325
+0.0252828
+0.0241556
+0.0230629
+0.0220182
+0.0211212
+0.0201513
+0.0192331
+0.0183095
+0.0175194
+0.0168924
+0.0161807
+0.0155614
+0.0149545
+0.0144177
+0.0141457
+0.0139871
+0.0133987
+0.0122023
+0.0110875
+0.0100984
+0.00920677
+0.00865133
+0.00852856
+0.0088649
+0.00951454
+0.0105587
+0.0118468
+0.0133719
+0.0150621
+0.0168639
+0.0187463
+0.0195058
+0.0184073
+0.0175152
+0.0168302
+0.0154147
+0.0136384
+0.0119774
+0.010245
+0.00843169
+0.0068033
+0.00542052
+0.00436088
+0.00375045
+0.00343458
+0.00362332
+0.00421038
+0.00514954
+0.00619733
+0.00739075
+0.00826298
+0.00870585
+0.00928899
+0.0102522
+0.0115121
+0.012993
+0.0146386
+0.0160901
+0.0162421
+0.0166483
+0.0173226
+0.0182368
+0.0193568
+0.0206492
+0.0220838
+0.0236118
+0.0252218
+0.026914
+0.0286737
+0.0304893
+0.0323514
+0.0342524
+0.0361862
+0.0381478
+0.0401331
+0.0591069
+0.0575008
+0.0559078
+0.0543563
+0.0528494
+0.0513712
+0.0498441
+0.0483517
+0.0469141
+0.045492
+0.0440241
+0.0425934
+0.0411539
+0.039783
+0.038488
+0.0371843
+0.0356933
+0.0342109
+0.0328079
+0.0314528
+0.0300782
+0.0288049
+0.0276434
+0.0266031
+0.02547
+0.0241689
+0.0229996
+0.0219343
+0.0208944
+0.0199494
+0.0191621
+0.0182018
+0.0173742
+0.0165737
+0.0159837
+0.0153883
+0.0147926
+0.0142901
+0.0137418
+0.0134751
+0.0133732
+0.0132565
+0.0121762
+0.0111725
+0.0102432
+0.0094084
+0.00886561
+0.00874584
+0.00906855
+0.00970978
+0.0107423
+0.0120232
+0.0135284
+0.0152012
+0.0169921
+0.0188668
+0.0183556
+0.0171838
+0.0162245
+0.0154721
+0.0143791
+0.012568
+0.0107976
+0.00916742
+0.00732477
+0.00545813
+0.00377835
+0.00242539
+0.00159843
+0.0012693
+0.0016065
+0.00255944
+0.00378934
+0.00501908
+0.00628606
+0.00730468
+0.00812936
+0.00898939
+0.0100715
+0.0113526
+0.012876
+0.0145705
+0.0154426
+0.0156021
+0.0160233
+0.0167229
+0.0176681
+0.018822
+0.0201487
+0.0216165
+0.0231702
+0.0248089
+0.0265274
+0.0283112
+0.0301486
+0.0320305
+0.0339495
+0.0358996
+0.037876
+0.0398748
+0.057826
+0.0562446
+0.0546516
+0.0530634
+0.0515195
+0.0500238
+0.048562
+0.0470494
+0.045573
+0.0441537
+0.0427445
+0.0412951
+0.0398986
+0.038483
+0.0371427
+0.0358862
+0.0345797
+0.0330852
+0.0316322
+0.0302682
+0.0289521
+0.0276268
+0.0264171
+0.0253353
+0.024287
+0.023193
+0.0219756
+0.0208581
+0.0198845
+0.0189573
+0.0181616
+0.0173632
+0.0165738
+0.0158229
+0.0152218
+0.014751
+0.0142603
+0.0137709
+0.0133167
+0.0130838
+0.0129466
+0.0129426
+0.0124437
+0.0115805
+0.0107482
+0.0100276
+0.00953246
+0.00942834
+0.00974695
+0.0103501
+0.0113244
+0.0125662
+0.0140132
+0.0156342
+0.0173805
+0.0187898
+0.0173933
+0.0161618
+0.0151255
+0.0142994
+0.0135365
+0.0117014
+0.00987293
+0.00811383
+0.00650781
+0.00453016
+0.00258871
+0.000826763
+-0.000483311
+-0.000862538
+0.000138477
+0.00167221
+0.00312059
+0.00445906
+0.00569601
+0.00680356
+0.00785698
+0.00893827
+0.0101767
+0.0115662
+0.0131041
+0.0147724
+0.0150278
+0.0152114
+0.0156816
+0.0163952
+0.017352
+0.0185153
+0.0198529
+0.0213321
+0.0229249
+0.0245844
+0.0263176
+0.0281147
+0.0299642
+0.031857
+0.0337858
+0.0357449
+0.0377294
+0.0397356
+0.0565334
+0.054969
+0.0534086
+0.051831
+0.0502491
+0.0487145
+0.0472316
+0.04579
+0.0442906
+0.0428383
+0.041441
+0.0400481
+0.0386219
+0.0372665
+0.0358808
+0.0345785
+0.0333602
+0.0320545
+0.0305686
+0.0291549
+0.0278419
+0.0265775
+0.0253176
+0.0241909
+0.0232066
+0.0221447
+0.0211259
+0.019965
+0.0189456
+0.0181347
+0.0173448
+0.0167296
+0.0159212
+0.0152958
+0.0147118
+0.0143919
+0.0140193
+0.0135462
+0.0132021
+0.0129671
+0.0128286
+0.0128457
+0.0129752
+0.0122832
+0.0116087
+0.011017
+0.0105842
+0.0104841
+0.0107769
+0.0113233
+0.0122202
+0.0133923
+0.0147852
+0.0163446
+0.0180223
+0.0181037
+0.0166497
+0.0153587
+0.0142641
+0.013385
+0.0127096
+0.0110871
+0.00922281
+0.00741274
+0.00557852
+0.0039491
+0.00215519
+0.000267577
+-0.00143937
+-0.00138402
+0.000384331
+0.00206621
+0.00343061
+0.00467633
+0.00580445
+0.00689257
+0.00806278
+0.0092677
+0.0105299
+0.0120044
+0.0135713
+0.0150612
+0.0149263
+0.0151112
+0.0155843
+0.0163022
+0.0172641
+0.018433
+0.0197762
+0.0212607
+0.0228591
+0.0245233
+0.0262605
+0.0280613
+0.0299141
+0.0318099
+0.0337414
+0.0357029
+0.0376896
+0.0396978
+0.0552145
+0.0536966
+0.0521394
+0.0506035
+0.0490438
+0.0474702
+0.0459472
+0.04448
+0.0430575
+0.0415795
+0.040154
+0.0387862
+0.0374141
+0.0360168
+0.0347016
+0.0333634
+0.0321085
+0.0309153
+0.0295967
+0.0281682
+0.026807
+0.0255542
+0.0243632
+0.0231931
+0.0221737
+0.021182
+0.0202513
+0.0192806
+0.018223
+0.0173784
+0.0167268
+0.016113
+0.0155204
+0.0149628
+0.0144719
+0.0141792
+0.0139219
+0.0136509
+0.0134031
+0.0131587
+0.0130817
+0.0130984
+0.0132255
+0.0132348
+0.0127311
+0.0122391
+0.0119414
+0.0118548
+0.0120842
+0.0126058
+0.0134173
+0.0144929
+0.015789
+0.0172667
+0.0188835
+0.0176642
+0.0161708
+0.0148382
+0.0136901
+0.0127224
+0.0119406
+0.0106177
+0.00882942
+0.00696176
+0.00510006
+0.00335619
+0.00188947
+0.000590054
+-0.000344328
+0.000344469
+0.00165566
+0.00325432
+0.00455094
+0.00560779
+0.00655843
+0.00757864
+0.00871037
+0.00990211
+0.011196
+0.012623
+0.014203
+0.0152574
+0.0151444
+0.0153266
+0.0157933
+0.0165021
+0.017453
+0.01861
+0.0199413
+0.0214144
+0.0230021
+0.0246566
+0.0263851
+0.0281779
+0.0300235
+0.0319128
+0.0338385
+0.0357946
+0.0376139
+0.0393901
+0.0539338
+0.0523914
+0.0508882
+0.0493421
+0.04783
+0.0462922
+0.0447332
+0.0432248
+0.0417769
+0.0403672
+0.0389263
+0.037528
+0.0362019
+0.0348506
+0.0334957
+0.032224
+0.0309502
+0.0297475
+0.0285659
+0.027251
+0.0259162
+0.0246182
+0.0234444
+0.0223336
+0.0212671
+0.0203448
+0.0194248
+0.0186188
+0.017743
+0.0168745
+0.0162476
+0.0157047
+0.0153293
+0.0148197
+0.0144804
+0.0142102
+0.0141667
+0.0140972
+0.0138569
+0.0136356
+0.0136478
+0.0136194
+0.01374
+0.0140334
+0.0140286
+0.0136761
+0.0134521
+0.0133785
+0.0135885
+0.0140721
+0.0148163
+0.0158189
+0.0170171
+0.0183964
+0.0191229
+0.0174846
+0.0159774
+0.0146305
+0.0134389
+0.0123627
+0.0113829
+0.00966204
+0.00802003
+0.00652469
+0.00511108
+0.00338865
+0.00198721
+0.00105072
+0.00133093
+0.00213962
+0.00337778
+0.00473493
+0.00589463
+0.00696044
+0.00771128
+0.00849339
+0.00964231
+0.0108926
+0.0121438
+0.0135249
+0.0150391
+0.0156731
+0.015603
+0.0157971
+0.0162508
+0.0169586
+0.0178922
+0.0190321
+0.0203423
+0.0217884
+0.0233506
+0.0249821
+0.0265676
+0.0280985
+0.0297122
+0.0313832
+0.0330943
+0.0348254
+0.0365994
+0.0383814
+0.0527131
+0.0511338
+0.049601
+0.048114
+0.046583
+0.0450889
+0.0435667
+0.0420464
+0.0405564
+0.0391323
+0.0377394
+0.0363422
+0.0349764
+0.0336978
+0.0323403
+0.0310506
+0.029845
+0.028598
+0.0274603
+0.0263108
+0.0250691
+0.0238462
+0.0226335
+0.0215551
+0.0205512
+0.019611
+0.0187315
+0.0179669
+0.0173151
+0.0166302
+0.015952
+0.015488
+0.0151608
+0.0149218
+0.014727
+0.0144897
+0.0145315
+0.0146839
+0.0145803
+0.0144019
+0.0143936
+0.014406
+0.01452
+0.0148089
+0.0150177
+0.0152737
+0.0150716
+0.015057
+0.0152554
+0.0156921
+0.0163877
+0.0172994
+0.0184247
+0.0197057
+0.0191652
+0.0175309
+0.0160284
+0.0146999
+0.0134396
+0.0122944
+0.0107314
+0.00895265
+0.00715676
+0.00550534
+0.00413916
+0.00287391
+0.00181473
+0.0018075
+0.00247756
+0.00329047
+0.00382094
+0.0039202
+0.00483503
+0.00625825
+0.00656342
+0.00740576
+0.00865405
+0.0102244
+0.01198
+0.0138236
+0.0153816
+0.0152461
+0.0154119
+0.0156874
+0.0162198
+0.0170182
+0.0177875
+0.0187822
+0.0199686
+0.0212219
+0.0225714
+0.0239575
+0.0254569
+0.0270507
+0.0286993
+0.0303649
+0.032074
+0.033831
+0.0356193
+0.037448
+0.0515566
+0.0499408
+0.0483702
+0.0468494
+0.0453817
+0.0438691
+0.0423941
+0.0408943
+0.0394199
+0.0379533
+0.0365591
+0.0351865
+0.0338172
+0.032493
+0.0312616
+0.0299361
+0.0286954
+0.0275656
+0.0263931
+0.0253299
+0.0242425
+0.0230882
+0.0219883
+0.0208566
+0.0198978
+0.0190853
+0.0182313
+0.0174755
+0.0169391
+0.0164079
+0.0159474
+0.0154905
+0.0152398
+0.01511
+0.0151018
+0.0150599
+0.015121
+0.0153887
+0.0155012
+0.0154013
+0.0153935
+0.0154511
+0.0155715
+0.0157549
+0.0159514
+0.016428
+0.0167978
+0.0168361
+0.0170348
+0.0174358
+0.0180826
+0.0189183
+0.0199553
+0.0202723
+0.0189083
+0.0173156
+0.0158635
+0.0145469
+0.0131627
+0.0119511
+0.0103481
+0.00858353
+0.00670761
+0.00495453
+0.00346533
+0.00184382
+0.000124403
+-4.34105e-05
+0.00200243
+0.00410814
+0.00348592
+0.00357717
+0.00452607
+0.00552138
+0.00582038
+0.00677396
+0.00811781
+0.00977288
+0.0115896
+0.0134866
+0.0148938
+0.0147147
+0.01468
+0.0149302
+0.0154118
+0.0160115
+0.0168269
+0.0178311
+0.0189811
+0.020159
+0.0214774
+0.0229297
+0.0244704
+0.0260518
+0.0276712
+0.0293647
+0.0311164
+0.0329171
+0.0346706
+0.0364337
+0.0504235
+0.0488097
+0.0472089
+0.0456495
+0.0441437
+0.0426915
+0.0412089
+0.0397581
+0.0382862
+0.0368668
+0.0354299
+0.0340652
+0.0327265
+0.031395
+0.0301237
+0.0289119
+0.0276479
+0.0264816
+0.0254415
+0.0243663
+0.0234056
+0.0223848
+0.0213689
+0.020365
+0.0193819
+0.0185921
+0.0179485
+0.0172193
+0.0167066
+0.016406
+0.0159769
+0.0157981
+0.0156015
+0.0155049
+0.015591
+0.0158236
+0.0159349
+0.016282
+0.0164998
+0.0165884
+0.016586
+0.0165651
+0.016698
+0.016929
+0.0170994
+0.0173968
+0.017932
+0.0186769
+0.0188973
+0.0192675
+0.0198548
+0.0206429
+0.0207353
+0.0197723
+0.0187214
+0.0171114
+0.0156404
+0.0143032
+0.0130156
+0.0112995
+0.00952702
+0.00779741
+0.00622932
+0.00488742
+0.00360897
+0.00207344
+0.00046789
+0.000260443
+0.00211951
+0.00418592
+0.0039311
+0.00348367
+0.00377609
+0.00472463
+0.00499132
+0.0059438
+0.00732874
+0.00902787
+0.0109038
+0.0128795
+0.0145602
+0.014215
+0.014151
+0.0142885
+0.0146199
+0.0152228
+0.0159949
+0.0168856
+0.0179432
+0.019178
+0.0205125
+0.0219539
+0.0234656
+0.0250606
+0.0267363
+0.028477
+0.0301963
+0.0319059
+0.0336713
+0.0354809
+0.0493003
+0.0477018
+0.0460973
+0.0445251
+0.0429799
+0.041487
+0.04005
+0.0386111
+0.0371935
+0.0357533
+0.0343732
+0.0330046
+0.0316697
+0.0303821
+0.0291014
+0.0278977
+0.0267096
+0.0255279
+0.0244606
+0.0235284
+0.0225729
+0.0216938
+0.0207513
+0.0199662
+0.0190624
+0.0182729
+0.017697
+0.0171635
+0.0166827
+0.0164474
+0.0162686
+0.016123
+0.0161502
+0.016172
+0.0163116
+0.0165807
+0.016972
+0.0172994
+0.0177143
+0.0179223
+0.0179493
+0.0178793
+0.0179962
+0.0182031
+0.0182741
+0.0185271
+0.0189858
+0.0196521
+0.0205206
+0.0211676
+0.0217035
+0.0215512
+0.0204666
+0.0194699
+0.0183568
+0.0171733
+0.0157035
+0.0142897
+0.0126811
+0.0109128
+0.00906943
+0.00726783
+0.00554365
+0.00405003
+0.00270356
+0.00113537
+0.000189896
+0.00147058
+0.0033318
+0.0045254
+0.00391797
+0.00317892
+0.00330203
+0.0039214
+0.00418391
+0.00502013
+0.006445
+0.00818389
+0.0100872
+0.0120882
+0.0141455
+0.0139897
+0.0137201
+0.0137194
+0.0140641
+0.0144801
+0.0150907
+0.015967
+0.0170505
+0.0182266
+0.0195514
+0.0210122
+0.0225704
+0.0242144
+0.0258738
+0.0275055
+0.0292083
+0.0309691
+0.0327581
+0.0345294
+0.0482252
+0.0466039
+0.0450288
+0.043436
+0.0418949
+0.0403655
+0.0388872
+0.0374786
+0.0360907
+0.0347136
+0.0333128
+0.0319642
+0.0306873
+0.029405
+0.0281569
+0.026969
+0.0258518
+0.0247002
+0.0236215
+0.0226741
+0.0218535
+0.0210063
+0.0202172
+0.0194745
+0.0188727
+0.0181815
+0.017621
+0.0172193
+0.0168751
+0.0166468
+0.0167009
+0.0166821
+0.0168104
+0.0169872
+0.0172392
+0.0175359
+0.01802
+0.0184912
+0.0190127
+0.0193387
+0.0194085
+0.0193089
+0.0194183
+0.0195731
+0.019563
+0.0197449
+0.0201496
+0.0207786
+0.0214411
+0.0222829
+0.0227009
+0.0215183
+0.0204009
+0.0194008
+0.0181666
+0.0170428
+0.0158305
+0.014237
+0.0126085
+0.0108783
+0.00911095
+0.00722798
+0.00550816
+0.00401613
+0.00247749
+0.000656021
+-0.000584048
+0.00116698
+0.00327471
+0.00388651
+0.00327623
+0.00197819
+0.00192858
+0.0025145
+0.00256943
+0.00368529
+0.00546201
+0.00741615
+0.00945582
+0.0115461
+0.0136679
+0.0137736
+0.013485
+0.0133205
+0.0133614
+0.0137267
+0.0143663
+0.015115
+0.0161161
+0.0173267
+0.0187048
+0.0202268
+0.0217632
+0.0232917
+0.0249039
+0.026591
+0.0282559
+0.0299885
+0.0317671
+0.0335906
+0.0471256
+0.0455638
+0.0439604
+0.0424007
+0.0408364
+0.0393179
+0.0378155
+0.0363655
+0.0349927
+0.033647
+0.0323121
+0.0309898
+0.0296765
+0.0284657
+0.0272744
+0.0261072
+0.0250392
+0.0239907
+0.0229186
+0.0219555
+0.0211488
+0.0204593
+0.0197395
+0.0190594
+0.0185614
+0.0181631
+0.0177435
+0.0174176
+0.0171871
+0.017068
+0.0171789
+0.0174822
+0.0175742
+0.0178614
+0.0182841
+0.0186657
+0.0191548
+0.0198293
+0.0203461
+0.0208255
+0.0209335
+0.0208395
+0.0209348
+0.0208697
+0.0207973
+0.0209183
+0.0211301
+0.0215538
+0.0221817
+0.0229778
+0.0228527
+0.0216783
+0.0205696
+0.0194999
+0.0182035
+0.0169268
+0.0155818
+0.0143126
+0.0128797
+0.0111192
+0.00935144
+0.00767932
+0.00614732
+0.00464629
+0.00328856
+0.00199115
+0.0015471
+0.00242574
+0.00378854
+0.00333858
+0.00294762
+0.00189957
+0.00201658
+0.00197234
+0.00190836
+0.0032092
+0.00511612
+0.00713339
+0.00922967
+0.0113616
+0.0135124
+0.0137265
+0.0130941
+0.0128067
+0.0128244
+0.013026
+0.01355
+0.0143414
+0.0153928
+0.0166561
+0.0180213
+0.0193549
+0.0208126
+0.0223367
+0.0238965
+0.0255492
+0.0272777
+0.0290684
+0.0308983
+0.0327705
+0.0460677
+0.04449
+0.0429591
+0.0413801
+0.0398398
+0.038311
+0.0368187
+0.0353533
+0.0339395
+0.0326117
+0.0313169
+0.0300382
+0.0287972
+0.0275477
+0.0264193
+0.0253251
+0.0242597
+0.0233149
+0.0222993
+0.0213674
+0.0205828
+0.0199876
+0.0193853
+0.0188088
+0.0183511
+0.0181028
+0.017932
+0.0177098
+0.0176968
+0.0176486
+0.0177611
+0.0181281
+0.0185453
+0.0188177
+0.019336
+0.0198677
+0.0204477
+0.0210911
+0.0217987
+0.0223499
+0.0223849
+0.0223751
+0.0223171
+0.0220337
+0.0218726
+0.0218675
+0.0220658
+0.0224769
+0.0230797
+0.0238459
+0.0231977
+0.0218979
+0.0207457
+0.0196269
+0.0183561
+0.0169944
+0.0155755
+0.0142888
+0.012854
+0.0110667
+0.00922026
+0.00752678
+0.00582559
+0.00407943
+0.00254344
+0.00142495
+0.00212787
+0.00384954
+0.00335128
+0.00258512
+0.00230106
+0.000533043
+0.000479045
+0.000988336
+0.00112021
+0.00271662
+0.00469834
+0.00680924
+0.00895855
+0.011124
+0.0132977
+0.0135201
+0.0128763
+0.0124355
+0.0123352
+0.0125094
+0.0130478
+0.0138547
+0.0148456
+0.0158736
+0.0170813
+0.0184055
+0.019791
+0.0213121
+0.0229417
+0.0246578
+0.0264291
+0.0282561
+0.0300591
+0.0318866
+0.0450884
+0.0434784
+0.0419177
+0.0404155
+0.0388755
+0.0373604
+0.0358755
+0.0344171
+0.0329983
+0.031631
+0.0303604
+0.0291303
+0.0279235
+0.026753
+0.0256021
+0.0245441
+0.0235883
+0.0226143
+0.0217969
+0.0209323
+0.0201758
+0.0195761
+0.019174
+0.0187421
+0.0183408
+0.018106
+0.0181072
+0.0180623
+0.0181662
+0.0183592
+0.0185809
+0.018932
+0.0195095
+0.019947
+0.0204367
+0.0210981
+0.0217742
+0.0224618
+0.0232257
+0.0237665
+0.0237988
+0.0239013
+0.0233916
+0.0230438
+0.0228965
+0.0228841
+0.0230739
+0.023458
+0.024007
+0.0241418
+0.0227559
+0.0214293
+0.0202504
+0.0191994
+0.0178985
+0.0167547
+0.0154731
+0.0141291
+0.0129073
+0.011323
+0.00952366
+0.00785332
+0.00606471
+0.00426822
+0.00252716
+0.00121242
+0.00192768
+0.00368257
+0.00271399
+0.00197996
+0.00178831
+0.00127842
+0.00080338
+0.000182199
+0.000176807
+0.00229164
+0.00447226
+0.00665837
+0.00884664
+0.0110359
+0.0132256
+0.0134604
+0.012736
+0.0122902
+0.0121455
+0.0123223
+0.0126341
+0.013206
+0.0140135
+0.0150104
+0.0161343
+0.0174252
+0.0188828
+0.02047
+0.0221423
+0.0238797
+0.0256368
+0.0274189
+0.0292465
+0.0311149
+0.044171
+0.0425466
+0.0409597
+0.039421
+0.0379465
+0.0364622
+0.0349797
+0.0335494
+0.0321348
+0.0307753
+0.0294678
+0.0282698
+0.0271219
+0.0260065
+0.0249015
+0.0238628
+0.0229342
+0.0220832
+0.0212665
+0.0206077
+0.0199169
+0.0193467
+0.0189399
+0.0187191
+0.0185038
+0.0183589
+0.0183872
+0.0185658
+0.0187119
+0.0190802
+0.019479
+0.0199453
+0.0205081
+0.0211564
+0.0216934
+0.0223602
+0.0231228
+0.0238188
+0.0242947
+0.0249546
+0.0253235
+0.0249502
+0.0244244
+0.024087
+0.0239462
+0.0239283
+0.02411
+0.0244871
+0.0250075
+0.0238802
+0.0225194
+0.0211781
+0.0199843
+0.0187876
+0.0175194
+0.016325
+0.0150766
+0.0138111
+0.012671
+0.0113327
+0.0102184
+0.00860407
+0.00689542
+0.00518441
+0.00368689
+0.00283385
+0.00326349
+0.00339358
+0.00250972
+0.00183819
+0.00142418
+-0.000174608
+0.000211589
+0.000540588
+0.00172648
+0.00316356
+0.00505187
+0.00709501
+0.00917978
+0.0113047
+0.0134507
+0.0136492
+0.0127955
+0.0122381
+0.011909
+0.011787
+0.0120391
+0.0125434
+0.0131814
+0.0141336
+0.0152928
+0.01665
+0.0181675
+0.0197528
+0.0213717
+0.0230836
+0.0248496
+0.0266773
+0.0284831
+0.0303362
+0.0432608
+0.0416497
+0.0400641
+0.0385253
+0.0370151
+0.0355758
+0.0341565
+0.0327195
+0.031348
+0.029997
+0.028715
+0.0274842
+0.0263782
+0.0253251
+0.0243061
+0.0232913
+0.0224009
+0.0216027
+0.020888
+0.0202609
+0.0197778
+0.01931
+0.0188832
+0.0186747
+0.0186535
+0.018779
+0.0188667
+0.0191336
+0.0194466
+0.0198298
+0.020395
+0.0209554
+0.0216097
+0.022332
+0.0225698
+0.0224649
+0.0225471
+0.0228402
+0.0233361
+0.0240194
+0.0244861
+0.0245437
+0.0247701
+0.0251855
+0.0251375
+0.0251202
+0.0252933
+0.0255906
+0.0251974
+0.0238031
+0.0224754
+0.0210925
+0.0198555
+0.0186091
+0.0173278
+0.0161193
+0.014917
+0.0137035
+0.0125537
+0.0112013
+0.0100737
+0.00927474
+0.00809771
+0.00659414
+0.00540339
+0.0048615
+0.00424493
+0.00306528
+0.00205953
+0.00149727
+0.000975317
+0.000562054
+0.000145086
+-0.000796721
+0.000737871
+0.00290458
+0.00509125
+0.00728032
+0.00947015
+0.0116603
+0.0138506
+0.0138109
+0.0129214
+0.0120961
+0.0115594
+0.0114245
+0.0115647
+0.0118556
+0.0125287
+0.0135019
+0.0146989
+0.0160269
+0.0174425
+0.0190057
+0.0206672
+0.0223752
+0.0241009
+0.025897
+0.027729
+0.0295866
+0.0424182
+0.0408121
+0.0392111
+0.0376503
+0.036155
+0.0346945
+0.033299
+0.0319536
+0.0305845
+0.0292962
+0.0280083
+0.0268149
+0.0257217
+0.0247312
+0.0237489
+0.0227828
+0.0219364
+0.0211947
+0.0205684
+0.0200649
+0.0196564
+0.019312
+0.0190582
+0.0188515
+0.0188983
+0.0190813
+0.0194805
+0.0197882
+0.0203191
+0.0207379
+0.0213107
+0.021753
+0.0216383
+0.0217403
+0.0217668
+0.0216473
+0.0217327
+0.0220365
+0.0225471
+0.0232167
+0.023667
+0.023739
+0.0239922
+0.0243884
+0.0249659
+0.0257177
+0.0263072
+0.0265682
+0.0252646
+0.0238356
+0.0225293
+0.0211577
+0.0199247
+0.0186529
+0.0174119
+0.0162097
+0.0150527
+0.0139436
+0.012801
+0.0114464
+0.0103465
+0.00952895
+0.0091733
+0.00830812
+0.00686507
+0.00515339
+0.00372031
+0.00248252
+0.00168269
+0.00115475
+0.000676199
+-0.000244391
+8.31218e-05
+0.000954587
+0.00168852
+0.0034276
+0.00547197
+0.00759832
+0.00971926
+0.0118635
+0.0140221
+0.013941
+0.0128186
+0.011995
+0.0115111
+0.0112336
+0.0112187
+0.0115183
+0.01214
+0.0130261
+0.0140842
+0.015367
+0.0168381
+0.0183656
+0.0199575
+0.0216542
+0.0233842
+0.0251813
+0.0270109
+0.0288621
+0.0416396
+0.0400033
+0.0384222
+0.0368717
+0.0353434
+0.0338879
+0.0325018
+0.0311622
+0.0298682
+0.0285696
+0.0273825
+0.0262103
+0.0251228
+0.0241853
+0.0232796
+0.022448
+0.0215876
+0.020922
+0.0203763
+0.0199589
+0.0196832
+0.0194883
+0.0193262
+0.0192774
+0.0193231
+0.0195733
+0.0199639
+0.0205489
+0.0210772
+0.0214798
+0.0209979
+0.020681
+0.0205424
+0.0206092
+0.0208593
+0.0210033
+0.0210912
+0.0214042
+0.0219101
+0.0225985
+0.0229198
+0.0230347
+0.0233444
+0.0237617
+0.0243541
+0.0251241
+0.0260561
+0.0268679
+0.0254383
+0.0240197
+0.022724
+0.0214082
+0.0201905
+0.0189366
+0.0177421
+0.0165639
+0.015463
+0.0144242
+0.0133509
+0.0120532
+0.011015
+0.0102557
+0.00992612
+0.0088178
+0.00684318
+0.00493677
+0.00334076
+0.00236696
+0.00140234
+0.000758386
+0.000187784
+-0.000205016
+-0.0010808
+0.000392525
+0.00250795
+0.00465961
+0.00643863
+0.00832154
+0.0103266
+0.0123946
+0.0144988
+0.0141677
+0.0130606
+0.0121772
+0.0114796
+0.0110117
+0.0109147
+0.0111724
+0.0117312
+0.0125924
+0.0136657
+0.0148769
+0.0162214
+0.017712
+0.0193061
+0.0209391
+0.0226513
+0.02444
+0.0262896
+0.0281863
+0.0409473
+0.039299
+0.0376884
+0.0361389
+0.0346516
+0.0331657
+0.0317615
+0.0304443
+0.0291982
+0.0279568
+0.0267598
+0.0256789
+0.0246717
+0.0236961
+0.0228689
+0.0221005
+0.0214198
+0.0207489
+0.0202934
+0.0199924
+0.0197807
+0.0197183
+0.0197029
+0.0197867
+0.0199403
+0.0202232
+0.0206457
+0.0212186
+0.0213323
+0.0206197
+0.0201172
+0.0197585
+0.019588
+0.0196544
+0.019873
+0.0203169
+0.0206426
+0.0209622
+0.0214771
+0.0218895
+0.0220418
+0.0223144
+0.0226835
+0.0231932
+0.0238777
+0.0247112
+0.0252861
+0.0256721
+0.0257976
+0.0243999
+0.0231255
+0.0218763
+0.0206862
+0.0194642
+0.0183042
+0.0171646
+0.0161624
+0.0151486
+0.0142205
+0.0130053
+0.0120491
+0.0113633
+0.0101011
+0.00815848
+0.00633606
+0.00454257
+0.00283067
+0.00194143
+0.000946707
+0.000527764
+-0.000591247
+-0.000956587
+4.61161e-05
+0.00134977
+0.00304341
+0.00502674
+0.00708988
+0.0092121
+0.0113026
+0.0132189
+0.0152094
+0.0144685
+0.0133394
+0.0122659
+0.0114677
+0.0109992
+0.0108964
+0.0111478
+0.0115423
+0.0122447
+0.0132062
+0.0143046
+0.0155645
+0.016974
+0.0185352
+0.0202136
+0.0219688
+0.0237471
+0.0255896
+0.0274823
+0.0402671
+0.0386447
+0.0370697
+0.0354932
+0.0339848
+0.0325472
+0.0311442
+0.0297998
+0.02855
+0.0274173
+0.0262724
+0.0251827
+0.024209
+0.023371
+0.0225427
+0.0218749
+0.0212323
+0.0207974
+0.020343
+0.020111
+0.0199847
+0.0199194
+0.0200705
+0.0203605
+0.0206264
+0.0210145
+0.0215074
+0.0215868
+0.0206731
+0.0199429
+0.0193894
+0.0190095
+0.0188393
+0.0188387
+0.0190666
+0.019539
+0.0200009
+0.0202949
+0.0204921
+0.0209182
+0.0211415
+0.0214277
+0.0218997
+0.0225752
+0.0228747
+0.022896
+0.0231257
+0.0235394
+0.0241249
+0.0248803
+0.0237119
+0.0225484
+0.0213882
+0.0202162
+0.0191025
+0.0180134
+0.0170841
+0.0161091
+0.0153557
+0.0142336
+0.0133232
+0.011482
+0.00948211
+0.00758835
+0.00568348
+0.00384838
+0.00239721
+0.00135329
+0.000675062
+0.0001412
+-0.000583344
+-0.0016057
+-0.000601037
+0.00154779
+0.00373462
+0.00583836
+0.00795115
+0.0099003
+0.0119252
+0.0140001
+0.0161057
+0.0148904
+0.0136252
+0.0125112
+0.0116885
+0.0111462
+0.0108712
+0.010843
+0.0112231
+0.0117442
+0.012513
+0.0135825
+0.0148839
+0.0163329
+0.0178682
+0.0195288
+0.0212856
+0.0231107
+0.0249692
+0.0268369
+0.0396415
+0.0380457
+0.0364561
+0.0349184
+0.0334396
+0.0319792
+0.0305912
+0.0292944
+0.0280334
+0.0268801
+0.0258613
+0.0248137
+0.0238642
+0.0230419
+0.0223573
+0.0217154
+0.0211997
+0.0207683
+0.0205281
+0.0203064
+0.0201814
+0.0202934
+0.020494
+0.0208348
+0.0213172
+0.0218458
+0.0222344
+0.0211636
+0.0202308
+0.019484
+0.0188295
+0.0183877
+0.0182005
+0.0181989
+0.0184347
+0.0187785
+0.0189258
+0.0192808
+0.019694
+0.020137
+0.0203932
+0.0206926
+0.021173
+0.0208675
+0.0206944
+0.0207179
+0.0209715
+0.0214183
+0.0220603
+0.0228524
+0.023733
+0.0233728
+0.0222499
+0.021158
+0.0201088
+0.0190772
+0.0182058
+0.0172941
+0.0166229
+0.0148979
+0.0129631
+0.0110694
+0.00900571
+0.00698395
+0.00509151
+0.00348784
+0.00205229
+0.000970131
+0.000245223
+-0.000156326
+-0.00179047
+-0.000731652
+0.00077755
+0.00204571
+0.00381156
+0.00585331
+0.00797415
+0.0101147
+0.0122669
+0.0144306
+0.0165601
+0.0151177
+0.0137986
+0.0126759
+0.0117775
+0.0110364
+0.0106512
+0.0107095
+0.010838
+0.0112465
+0.0119628
+0.0129903
+0.0142524
+0.0157104
+0.0172921
+0.0189592
+0.0206828
+0.0224788
+0.0243396
+0.0262513
+0.0390472
+0.0374711
+0.0359521
+0.0344002
+0.0329045
+0.0314892
+0.0301458
+0.0288361
+0.0276196
+0.0265013
+0.025479
+0.0245287
+0.0236221
+0.0228623
+0.0222084
+0.0216941
+0.0213101
+0.0209363
+0.0207114
+0.0206226
+0.0206032
+0.0207129
+0.0210169
+0.0214763
+0.0219785
+0.0226233
+0.0216713
+0.020858
+0.0199775
+0.0191259
+0.0184523
+0.0180012
+0.0177831
+0.0177561
+0.0179748
+0.017897
+0.0180377
+0.0184027
+0.0189671
+0.019537
+0.0197737
+0.0195241
+0.0190648
+0.0187121
+0.0185165
+0.0185428
+0.0188257
+0.0193128
+0.0200224
+0.0208439
+0.0217616
+0.0226323
+0.0223859
+0.0222761
+0.0212718
+0.0202995
+0.0195066
+0.0177591
+0.016042
+0.0141584
+0.0121146
+0.0101324
+0.00815737
+0.00630745
+0.00475016
+0.0029164
+0.00163673
+0.000462198
+0.000292119
+-0.000459703
+-0.00139234
+-0.000659202
+0.000941436
+0.00297903
+0.00477482
+0.00652301
+0.00847931
+0.0105131
+0.0125974
+0.0147126
+0.0168471
+0.0154252
+0.0140773
+0.0128347
+0.0117624
+0.0109728
+0.0105853
+0.0104487
+0.0104285
+0.0107783
+0.0115133
+0.0125435
+0.0137489
+0.0151454
+0.0167108
+0.0183948
+0.0201566
+0.021964
+0.0237906
+0.0256667
+0.0385395
+0.0369669
+0.0354376
+0.0339633
+0.0324947
+0.0310627
+0.0297184
+0.0284761
+0.0273108
+0.0261879
+0.0251968
+0.0242743
+0.0234952
+0.0227688
+0.0221948
+0.0217868
+0.0214406
+0.0212171
+0.021093
+0.0210484
+0.0211431
+0.0213134
+0.0216424
+0.022108
+0.0227617
+0.0218048
+0.0208168
+0.0200176
+0.0193877
+0.0189048
+0.0182888
+0.0178335
+0.0175721
+0.0175448
+0.0173569
+0.017227
+0.0173341
+0.0176626
+0.0182483
+0.0181677
+0.0178416
+0.0174797
+0.0169774
+0.016566
+0.0163421
+0.0163719
+0.0166884
+0.0172286
+0.0179898
+0.0188422
+0.0198245
+0.0205118
+0.0208581
+0.0209661
+0.0204301
+0.0190938
+0.0179265
+0.0165856
+0.0147324
+0.0129847
+0.0111961
+0.00936828
+0.00743174
+0.00537967
+0.00347606
+0.0020867
+0.000903611
+4.97098e-05
+-0.000172828
+-0.00152754
+-0.00142769
+0.000198492
+0.00176461
+0.00376611
+0.00565104
+0.00768519
+0.00947267
+0.0113287
+0.0132857
+0.0153061
+0.0173678
+0.0157937
+0.0143027
+0.0129814
+0.0118737
+0.0110072
+0.0104513
+0.0102909
+0.0102419
+0.0105116
+0.0111584
+0.0120841
+0.0133094
+0.0147432
+0.0162032
+0.0178135
+0.0195371
+0.0213358
+0.0231929
+0.0251038
+0.0379805
+0.0365047
+0.0350323
+0.0335673
+0.0321468
+0.0307778
+0.0294285
+0.0281734
+0.0270379
+0.0260293
+0.0250404
+0.0241807
+0.0233976
+0.0227594
+0.0223102
+0.0219081
+0.0216729
+0.021562
+0.0215359
+0.0216428
+0.0217432
+0.0220206
+0.0223932
+0.0229137
+0.0222534
+0.0211194
+0.0201255
+0.0192997
+0.0186938
+0.0181414
+0.0178235
+0.0177264
+0.0175854
+0.0173325
+0.0169061
+0.0167308
+0.0168338
+0.0171702
+0.0169347
+0.0162924
+0.015921
+0.0154753
+0.0148598
+0.0144334
+0.0141727
+0.014207
+0.0145585
+0.0151744
+0.0159615
+0.0168659
+0.0179459
+0.0183728
+0.0187585
+0.0191866
+0.0188104
+0.0173499
+0.0160563
+0.0149729
+0.0135398
+0.0117429
+0.00995254
+0.00829255
+0.00638574
+0.00467163
+0.00272445
+0.00129488
+0.000180829
+-0.000106076
+-0.000591674
+-0.00184666
+-0.00220315
+-0.000522171
+0.00145089
+0.00362181
+0.00580571
+0.00799334
+0.0101823
+0.0123718
+0.0142801
+0.0161768
+0.017711
+0.0160993
+0.0145799
+0.0132028
+0.0120354
+0.0110844
+0.0103868
+0.00998276
+0.00987439
+0.0102141
+0.0108167
+0.0116712
+0.0127969
+0.0141498
+0.0156652
+0.0173097
+0.0190558
+0.0208858
+0.0227796
+0.0247225
+0.0374807
+0.0360063
+0.0346011
+0.0332621
+0.0318668
+0.0305306
+0.029254
+0.028035
+0.0268937
+0.025884
+0.0249691
+0.0242184
+0.0234749
+0.0228382
+0.022397
+0.0221594
+0.0219761
+0.0219603
+0.0220452
+0.0222173
+0.0224797
+0.0228399
+0.0232726
+0.023049
+0.0217553
+0.0205998
+0.0195972
+0.0187577
+0.0181196
+0.0175852
+0.0172641
+0.0171492
+0.0169001
+0.0167191
+0.0166814
+0.016449
+0.016505
+0.0160194
+0.0151138
+0.0143905
+0.0139483
+0.0134963
+0.012766
+0.0123211
+0.0120111
+0.0120515
+0.0124493
+0.0131351
+0.0139553
+0.0149366
+0.0161014
+0.0162475
+0.0166714
+0.0170846
+0.0173168
+0.0157181
+0.0142774
+0.0130472
+0.0120848
+0.0105063
+0.00873901
+0.00696649
+0.005358
+0.00356945
+0.00181941
+0.000377397
+-0.000635492
+-0.00034047
+-0.00114856
+-0.00272891
+-0.00137439
+0.000554644
+0.00211126
+0.00401925
+0.00610227
+0.00821514
+0.0103573
+0.0125163
+0.0146847
+0.016845
+0.0179442
+0.016252
+0.014683
+0.0132363
+0.0119909
+0.0109671
+0.0102762
+0.00987728
+0.00979686
+0.010028
+0.0104993
+0.011305
+0.0124194
+0.013776
+0.0152996
+0.0169699
+0.0187476
+0.0205167
+0.0223586
+0.0242509
+0.0370394
+0.0356047
+0.0341988
+0.0328629
+0.0316219
+0.0303498
+0.0291291
+0.0279605
+0.0268628
+0.0258556
+0.0250003
+0.0242516
+0.0236116
+0.0230762
+0.0226806
+0.0224425
+0.0223841
+0.0224038
+0.0225783
+0.0228783
+0.0232469
+0.0236684
+0.0241851
+0.0227533
+0.0214501
+0.0202855
+0.0192666
+0.0184101
+0.0177106
+0.0172156
+0.0168906
+0.0167491
+0.0164043
+0.0162561
+0.0163503
+0.0163985
+0.0156397
+0.014427
+0.0133916
+0.0125711
+0.012028
+0.0115446
+0.0107089
+0.0101944
+0.00986221
+0.00991144
+0.010374
+0.0110892
+0.0119726
+0.0130892
+0.0139741
+0.0141421
+0.0145994
+0.015008
+0.0156825
+0.0142372
+0.0126287
+0.0112191
+0.0100921
+0.00899667
+0.00751121
+0.00582041
+0.00395438
+0.00257871
+0.000951496
+-0.000305532
+-0.000734325
+-0.00065108
+-0.0018032
+-0.00282007
+-0.000781789
+0.000763993
+0.00281372
+0.00494682
+0.00697201
+0.00890653
+0.0109381
+0.0130213
+0.0151272
+0.0172457
+0.0182064
+0.0165195
+0.014903
+0.0134453
+0.0121806
+0.0111735
+0.0103704
+0.0098819
+0.00976786
+0.00980386
+0.0102538
+0.0110679
+0.012166
+0.0134313
+0.0149081
+0.0165109
+0.0182316
+0.0200393
+0.0219073
+0.0238303
+0.0365671
+0.035197
+0.0339084
+0.0325676
+0.0313222
+0.0301846
+0.0290741
+0.0279696
+0.0269086
+0.0259748
+0.0251359
+0.0244127
+0.0238184
+0.0233091
+0.022998
+0.0228396
+0.0228054
+0.0229323
+0.0231979
+0.0235592
+0.0240428
+0.0245563
+0.0240814
+0.0226431
+0.0213331
+0.0201615
+0.0191361
+0.0182762
+0.0175673
+0.017068
+0.0167402
+0.0165974
+0.0161922
+0.016042
+0.0161374
+0.0157069
+0.0142803
+0.0129693
+0.0117917
+0.0108507
+0.0100681
+0.00960725
+0.00868709
+0.00807947
+0.00773686
+0.00779952
+0.00831409
+0.00907183
+0.0100589
+0.0113209
+0.0118699
+0.0120615
+0.0125337
+0.012969
+0.0137439
+0.0127047
+0.0111679
+0.00954492
+0.0081907
+0.00722951
+0.00591242
+0.00460935
+0.00274178
+0.00113351
+-0.000228503
+-0.00134264
+-0.00118381
+-0.00138902
+-0.00280318
+-0.00209061
+-0.000216987
+0.00175572
+0.00353188
+0.00550013
+0.0075097
+0.00949603
+0.0115425
+0.0136338
+0.0157522
+0.0178097
+0.0186292
+0.0169191
+0.0153233
+0.013872
+0.0124962
+0.0113542
+0.0104918
+0.00985151
+0.00959232
+0.00971175
+0.0101169
+0.0107833
+0.0117672
+0.013048
+0.0145476
+0.016186
+0.0179379
+0.0197194
+0.0215573
+0.0234558
+0.0361819
+0.0348234
+0.0335271
+0.0323256
+0.0311572
+0.0300091
+0.0289394
+0.0279932
+0.0270808
+0.0261549
+0.0253833
+0.0246983
+0.0241629
+0.0237217
+0.0234161
+0.0233001
+0.0233236
+0.0235239
+0.0238348
+0.024285
+0.0248896
+0.0255
+0.0241508
+0.0227161
+0.0214098
+0.0202414
+0.0192201
+0.0184002
+0.0176961
+0.0172004
+0.0168753
+0.0167076
+0.0162749
+0.0161255
+0.016149
+0.0145159
+0.0129273
+0.0114955
+0.0101614
+0.00912904
+0.00818087
+0.00760628
+0.00676674
+0.0060144
+0.0056524
+0.00573555
+0.00625796
+0.00708645
+0.00825315
+0.0097084
+0.00980303
+0.00999433
+0.0104712
+0.0109885
+0.0117964
+0.0110785
+0.00968333
+0.00812043
+0.00647483
+0.00521435
+0.00447065
+0.00285801
+0.00164117
+-0.000195114
+-0.00143913
+-0.0019343
+-0.00206005
+-0.00259537
+-0.00369714
+-0.00156583
+0.000333009
+0.00187816
+0.0035907
+0.00550473
+0.00755931
+0.0095356
+0.0115782
+0.0136641
+0.0157784
+0.0179111
+0.0190468
+0.0173149
+0.0156727
+0.0141663
+0.0128418
+0.0116183
+0.0105725
+0.00990159
+0.00960401
+0.00965849
+0.00996056
+0.0106445
+0.0116057
+0.0128166
+0.0142479
+0.0158535
+0.0175661
+0.0193605
+0.0212295
+0.023155
+0.0359203
+0.0345515
+0.0332663
+0.032055
+0.0309515
+0.0299454
+0.0289224
+0.0279792
+0.0271475
+0.0264689
+0.0257113
+0.0250941
+0.0245674
+0.024228
+0.0240267
+0.0239126
+0.0239743
+0.0241978
+0.0246004
+0.025082
+0.0256772
+0.025931
+0.0244045
+0.0229856
+0.0216955
+0.0205425
+0.0195371
+0.0187349
+0.0180889
+0.0175607
+0.0172589
+0.0170201
+0.0165955
+0.0164525
+0.0152496
+0.0134963
+0.0117865
+0.0101831
+0.00870209
+0.0074519
+0.00648733
+0.00565776
+0.00503256
+0.00402489
+0.00353823
+0.00368647
+0.00421782
+0.00521595
+0.00662092
+0.00767238
+0.00776739
+0.00799314
+0.00847323
+0.00910477
+0.00985178
+0.00958893
+0.00804294
+0.00669581
+0.00513098
+0.00340934
+0.00251138
+0.00145214
+-3.76942e-05
+-0.00132049
+-0.00239721
+-0.00287534
+-0.00315983
+-0.00397595
+-0.00415803
+-0.00212213
+-0.000190751
+0.00171572
+0.00353288
+0.00545247
+0.00747309
+0.0095377
+0.0116473
+0.013775
+0.0159045
+0.0180317
+0.0194281
+0.0176512
+0.0159773
+0.0144424
+0.0130457
+0.0118337
+0.0107228
+0.00993532
+0.00953875
+0.00952612
+0.00982918
+0.0104346
+0.0114136
+0.01264
+0.0140892
+0.0156682
+0.0173571
+0.0191255
+0.0209734
+0.0228818
+0.0357631
+0.0344036
+0.0331184
+0.031932
+0.0308249
+0.029837
+0.0289581
+0.0280792
+0.0272766
+0.0266013
+0.0260929
+0.0255493
+0.025117
+0.0248011
+0.0246586
+0.0246693
+0.0247613
+0.0250098
+0.0254132
+0.0259721
+0.0266132
+0.0263502
+0.0248494
+0.0234575
+0.0221814
+0.021051
+0.0200717
+0.0192633
+0.0186579
+0.018173
+0.0178546
+0.0175984
+0.0171881
+0.0163215
+0.0145219
+0.0127387
+0.0109213
+0.00916596
+0.00753333
+0.00600223
+0.00478741
+0.0037959
+0.00328276
+0.00227083
+0.00148944
+0.00164624
+0.00221719
+0.00355016
+0.00501163
+0.00557796
+0.00583434
+0.00612071
+0.00655062
+0.00726864
+0.0079863
+0.00768475
+0.00667175
+0.00503878
+0.00369845
+0.00219822
+0.000566801
+-9.55075e-05
+-0.00131323
+-0.00263219
+-0.00345318
+-0.00399787
+-0.00448541
+-0.00344035
+-0.00294506
+-0.002204
+-0.000292094
+0.00170582
+0.00375397
+0.00582681
+0.00787333
+0.00983282
+0.0118688
+0.0139517
+0.0160634
+0.0181746
+0.0196554
+0.0179011
+0.0162182
+0.0146541
+0.0132364
+0.0120106
+0.0108768
+0.0100145
+0.00956754
+0.00955332
+0.0098344
+0.0103388
+0.0112439
+0.0124256
+0.0138356
+0.0154238
+0.0171309
+0.0188966
+0.0207282
+0.0226237
+0.03571
+0.0343598
+0.0330896
+0.0319021
+0.0308171
+0.0298289
+0.0289729
+0.0282598
+0.0275514
+0.026912
+0.0264096
+0.0260802
+0.0256999
+0.0254488
+0.0253825
+0.0254519
+0.025621
+0.0259364
+0.0263329
+0.026895
+0.0275801
+0.0269363
+0.0254588
+0.0240851
+0.0228394
+0.0217432
+0.0207965
+0.0200174
+0.0193897
+0.0189439
+0.0186896
+0.0183779
+0.0176855
+0.0158067
+0.0138643
+0.0119843
+0.0102162
+0.00838131
+0.00653112
+0.00477029
+0.00328806
+0.00212961
+0.00134144
+0.000877325
+-0.000381808
+-0.000442435
+0.000509507
+0.00191751
+0.00358232
+0.00357643
+0.00385146
+0.00428642
+0.00481981
+0.00565907
+0.00629032
+0.00592608
+0.00570689
+0.00380736
+0.0022602
+0.000995073
+-7.97423e-05
+-0.00105832
+-0.00238465
+-0.00398369
+-0.00441679
+-0.00517674
+-0.00426808
+-0.00271286
+-0.00204931
+-0.00197907
+-0.000101676
+0.00196304
+0.0040605
+0.00613117
+0.00818721
+0.0102989
+0.0123672
+0.0143781
+0.016435
+0.0185227
+0.0199532
+0.0181621
+0.0164644
+0.0148639
+0.0134309
+0.0122247
+0.0111263
+0.0103185
+0.00985278
+0.00977201
+0.00981033
+0.0102881
+0.011114
+0.012244
+0.0136278
+0.0152016
+0.0168743
+0.0186472
+0.0205011
+0.0224093
+0.0357469
+0.0344441
+0.0331872
+0.0320225
+0.0309411
+0.029957
+0.0291048
+0.0283964
+0.027809
+0.0273086
+0.0268821
+0.0265801
+0.026399
+0.0261887
+0.0261267
+0.0262295
+0.0264967
+0.0268898
+0.0273446
+0.0278863
+0.0285861
+0.0276547
+0.0262177
+0.024886
+0.0236824
+0.0226271
+0.021719
+0.0209519
+0.0203321
+0.0199073
+0.0197058
+0.0193688
+0.017534
+0.0155168
+0.0135152
+0.0115786
+0.00961879
+0.00774096
+0.00594986
+0.00405974
+0.00225173
+0.000766816
+-0.000277626
+-0.000864074
+-0.0017475
+-0.00215364
+-0.00117606
+0.000669782
+0.00218202
+0.00189808
+0.00220192
+0.00277444
+0.00319423
+0.00411524
+0.00481352
+0.00419033
+0.00379006
+0.00326744
+0.00169457
+0.000684688
+-0.000351067
+-0.00197241
+-0.00357175
+-0.00507395
+-0.005889
+-0.00565047
+-0.00415423
+-0.00308205
+-0.00217938
+-0.00202831
+-7.25828e-06
+0.00208982
+0.00394715
+0.00597471
+0.00808779
+0.0102336
+0.0123845
+0.0145441
+0.0166784
+0.0188066
+0.020282
+0.0185223
+0.0168373
+0.0152759
+0.0138855
+0.0125896
+0.0115
+0.0105933
+0.0100375
+0.00976979
+0.0097722
+0.0101772
+0.0110114
+0.0121399
+0.0135165
+0.0150848
+0.0167824
+0.0185554
+0.0204088
+0.022296
+0.0357775
+0.0345644
+0.0333715
+0.0322538
+0.0312169
+0.0302437
+0.0293998
+0.0286987
+0.0281176
+0.0276924
+0.0274052
+0.027124
+0.027018
+0.0269926
+0.0270105
+0.0271171
+0.0273755
+0.0278047
+0.0283409
+0.0289963
+0.0296695
+0.0285237
+0.0271328
+0.0258482
+0.0246915
+0.023661
+0.0227935
+0.0220442
+0.0214575
+0.0210555
+0.0208635
+0.0195261
+0.0175426
+0.0154903
+0.0134816
+0.0114593
+0.0094525
+0.0075321
+0.00545274
+0.0034788
+0.0017054
+3.69637e-05
+-0.00173488
+-0.00271344
+-0.00336231
+-0.00297505
+-0.00136703
+0.00030755
+0.000484488
+0.000501809
+0.000673163
+0.00129473
+0.0018861
+0.00295716
+0.00315101
+0.00226434
+0.00177121
+0.00173968
+0.00178154
+0.000671909
+-0.000463721
+-0.00219537
+-0.00418753
+-0.00626058
+-0.0074188
+-0.0060147
+-0.0046375
+-0.00351605
+-0.00274823
+-0.0025498
+-0.000770898
+0.0012474
+0.00342345
+0.0056109
+0.00772185
+0.00983638
+0.0119783
+0.0141352
+0.0163011
+0.0184728
+0.0206486
+0.0190282
+0.0173157
+0.0157085
+0.0142471
+0.0129285
+0.0117631
+0.0109098
+0.0102195
+0.00984662
+0.00982576
+0.0102286
+0.0110355
+0.0121428
+0.0134882
+0.0149884
+0.0166425
+0.018409
+0.0202558
+0.0221413
+0.035919
+0.0347109
+0.0335934
+0.0325097
+0.0315199
+0.0306549
+0.0298315
+0.0291407
+0.0285912
+0.0281732
+0.0279208
+0.0277803
+0.0276966
+0.0277327
+0.0278629
+0.028076
+0.0283903
+0.0288043
+0.0293218
+0.0299824
+0.030785
+0.0295299
+0.0281887
+0.0269544
+0.0258285
+0.0248438
+0.0240066
+0.0232918
+0.0227388
+0.0223586
+0.0217713
+0.019781
+0.0177323
+0.0156752
+0.0136598
+0.0116583
+0.00964882
+0.00760313
+0.00566679
+0.00365267
+0.00162091
+-0.000268084
+-0.00184876
+-0.00302228
+-0.00433292
+-0.00329542
+-0.00184569
+-0.00113363
+-0.00119005
+-0.0013031
+-0.000999181
+-0.000365194
+0.000680613
+0.00171486
+0.00159946
+0.000946085
+-0.000118649
+-0.000411312
+-0.00031968
+-0.000937903
+-0.00138617
+-0.00298951
+-0.00478784
+-0.00667421
+-0.00804491
+-0.00676904
+-0.00546353
+-0.00443953
+-0.00358073
+-0.00216901
+-0.000223768
+0.00141061
+0.00329024
+0.00539915
+0.0075354
+0.0096907
+0.011859
+0.0140342
+0.0162136
+0.0183957
+0.0203407
+0.0195012
+0.017819
+0.0162233
+0.0147675
+0.0133648
+0.012165
+0.0112537
+0.0104871
+0.0100717
+0.0100519
+0.0104142
+0.0111479
+0.0122048
+0.0134937
+0.0149934
+0.016562
+0.0182497
+0.0200348
+0.021886
+0.0361166
+0.0349943
+0.0338847
+0.0328663
+0.0319107
+0.0310452
+0.0303112
+0.0296943
+0.0291975
+0.0287942
+0.0285537
+0.0284589
+0.028426
+0.0285129
+0.0287156
+0.0290393
+0.0294075
+0.029888
+0.0304236
+0.0310661
+0.0318415
+0.0306599
+0.0293702
+0.0281704
+0.0270939
+0.0261568
+0.0253471
+0.0246713
+0.0241511
+0.0237922
+0.0222194
+0.0201726
+0.0181278
+0.0161212
+0.0141693
+0.0121729
+0.0101767
+0.00823061
+0.00632227
+0.00440969
+0.00267509
+0.00120306
+-1.33251e-05
+-0.00128427
+-0.00267872
+-0.00370559
+-0.00273677
+-0.00172754
+-0.00171629
+-0.00234131
+-0.00226325
+-0.00151429
+-0.000289986
+0.000901978
+0.000604008
+4.97723e-05
+-0.000452653
+-0.00135339
+-0.00242756
+-0.00268123
+-0.00293169
+-0.00407224
+-0.00572898
+-0.00761859
+-0.00886998
+-0.00761476
+-0.00609936
+-0.00433363
+-0.00271394
+-0.00103443
+0.000197219
+0.00198185
+0.00408211
+0.00599202
+0.00794514
+0.00997821
+0.011952
+0.0136757
+0.0155053
+0.0173938
+0.0193391
+0.019988
+0.0182798
+0.0166419
+0.0151316
+0.013778
+0.0125038
+0.0114881
+0.0107225
+0.0102999
+0.0102801
+0.0105983
+0.0111952
+0.012126
+0.0133546
+0.0147651
+0.0163362
+0.0180369
+0.0198341
+0.0217002
+0.0363423
+0.0352564
+0.0342551
+0.0333005
+0.032412
+0.0315729
+0.0308517
+0.0302458
+0.0297891
+0.0294687
+0.0292972
+0.0292161
+0.0292133
+0.0293743
+0.0296323
+0.0299674
+0.0304465
+0.0309752
+0.0315741
+0.0322365
+0.0329923
+0.0319005
+0.0306469
+0.0294981
+0.0284718
+0.0275752
+0.0267999
+0.0261502
+0.0256709
+0.0247682
+0.0227735
+0.0207536
+0.0187719
+0.0168248
+0.0149133
+0.0129707
+0.0110211
+0.00917032
+0.00737606
+0.0057063
+0.00426029
+0.00301164
+0.00178794
+0.000356781
+-0.000942357
+-0.0016008
+-0.001438
+-0.000564992
+-0.000694336
+-0.00118432
+-0.00146658
+-0.00127403
+-0.000373802
+0.000466055
+-0.000260086
+-0.00102423
+-0.00167348
+-0.00215405
+-0.0028964
+-0.00432661
+-0.00480636
+-0.00565659
+-0.00703585
+-0.00864553
+-0.00972444
+-0.00774439
+-0.0058499
+-0.00395556
+-0.00194802
+-0.000234864
+0.00125148
+0.00272067
+0.00429526
+0.00559309
+0.00721382
+0.00894446
+0.0107055
+0.012559
+0.0145036
+0.0164875
+0.0184814
+0.0204692
+0.0187712
+0.0171462
+0.0155825
+0.0141647
+0.0128821
+0.0118543
+0.0111055
+0.010603
+0.0104189
+0.0106262
+0.0111889
+0.0121202
+0.0133277
+0.014721
+0.0162905
+0.0179904
+0.0197593
+0.0215873
+0.036604
+0.0356023
+0.0346528
+0.0337438
+0.0329214
+0.0321946
+0.0315212
+0.030943
+0.0304967
+0.0301838
+0.0300163
+0.0300083
+0.0300891
+0.0302455
+0.0305585
+0.0309787
+0.0314654
+0.032072
+0.0327435
+0.0334622
+0.0342343
+0.0332167
+0.0320103
+0.0309122
+0.0299344
+0.0290818
+0.0283271
+0.027713
+0.027254
+0.0254447
+0.0234879
+0.0215187
+0.0195965
+0.0177368
+0.0158414
+0.0139421
+0.0121415
+0.0104097
+0.00876802
+0.00732018
+0.00606269
+0.00483908
+0.00335764
+0.00208195
+0.00109241
+0.00055823
+0.000511016
+0.00150068
+0.00112078
+0.000520313
+0.000285689
+0.000321134
+0.00055429
+0.000326298
+-0.000477751
+-0.0012837
+-0.00164775
+-0.00249998
+-0.00333136
+-0.00482098
+-0.0065052
+-0.00744926
+-0.00859061
+-0.0100438
+-0.00996928
+-0.00799107
+-0.00610418
+-0.00430591
+-0.00259046
+-0.00113644
+0.000526337
+0.00136834
+0.00259872
+0.00424422
+0.00599546
+0.00779822
+0.00970775
+0.0117031
+0.0137274
+0.0157682
+0.0178153
+0.0198931
+0.0190537
+0.0174136
+0.0158751
+0.0144891
+0.0132786
+0.0121965
+0.0113972
+0.0108569
+0.0106131
+0.0107648
+0.0113132
+0.0121931
+0.0133484
+0.0147406
+0.0162546
+0.0179052
+0.0196617
+0.0214607
+0.0369359
+0.0359434
+0.0350598
+0.0342561
+0.0334486
+0.0327678
+0.0322192
+0.0316856
+0.0312796
+0.0310234
+0.0308745
+0.0308667
+0.0310032
+0.0312314
+0.0315347
+0.0319854
+0.0325205
+0.0331638
+0.0338597
+0.0346751
+0.0355145
+0.0346165
+0.0334606
+0.0324117
+0.0314805
+0.0306629
+0.0299366
+0.0293561
+0.0282
+0.0262874
+0.0243475
+0.0224538
+0.020619
+0.0187793
+0.0169262
+0.0151635
+0.0134633
+0.0118487
+0.010399
+0.00908782
+0.00785075
+0.00638266
+0.005067
+0.00393094
+0.00317146
+0.00272955
+0.00265916
+0.00336226
+0.00286285
+0.00235121
+0.00228023
+0.0021506
+0.00167285
+0.000534401
+-0.000417674
+-0.00126357
+-0.00224203
+-0.00296392
+-0.00388102
+-0.00512214
+-0.00672061
+-0.00849852
+-0.00979311
+-0.0112425
+-0.0105576
+-0.00867574
+-0.00697655
+-0.00535731
+-0.00370013
+-0.00222229
+-0.00145916
+-0.000230157
+0.00155755
+0.00323382
+0.0050811
+0.00703855
+0.00907552
+0.0111465
+0.0132101
+0.0152927
+0.0174014
+0.0195059
+0.0194675
+0.0178113
+0.01627
+0.0148689
+0.013641
+0.0125684
+0.0117944
+0.0112602
+0.0109409
+0.011055
+0.0115897
+0.0124164
+0.0134857
+0.014763
+0.0162136
+0.017816
+0.019521
+0.021283
+0.0373852
+0.0364041
+0.0355312
+0.0347745
+0.0340895
+0.0334218
+0.0328868
+0.0324692
+0.0321375
+0.0318881
+0.0317878
+0.0318384
+0.0319852
+0.0322476
+0.0326203
+0.0330562
+0.0336248
+0.0342737
+0.035022
+0.0358159
+0.0367186
+0.0360951
+0.0349881
+0.0339864
+0.0330995
+0.0323045
+0.0316159
+0.0310202
+0.0291473
+0.0272349
+0.0253676
+0.0235538
+0.0217617
+0.0199452
+0.018211
+0.0165334
+0.0149361
+0.0134841
+0.0121329
+0.0108427
+0.00945011
+0.00807717
+0.00692793
+0.00589277
+0.00526511
+0.00490904
+0.00482849
+0.00536058
+0.00481316
+0.00427135
+0.00365922
+0.00331954
+0.00210934
+0.000763307
+-0.000166619
+-0.00112299
+-0.00215595
+-0.00289504
+-0.00400732
+-0.00542739
+-0.00708343
+-0.00871074
+-0.010287
+-0.0110312
+-0.00982956
+-0.00859392
+-0.00766871
+-0.00664386
+-0.00525428
+-0.00379591
+-0.00231609
+-0.000785326
+0.000825458
+0.0025926
+0.00456754
+0.00661867
+0.00871185
+0.010773
+0.012877
+0.0150058
+0.0171502
+0.0192832
+0.0199137
+0.0182626
+0.0167077
+0.0152918
+0.0140586
+0.0130656
+0.0123149
+0.0116326
+0.0113312
+0.0114389
+0.0118368
+0.0125978
+0.0136489
+0.014889
+0.0162707
+0.0178153
+0.0194517
+0.021178
+0.0379149
+0.0369479
+0.0360881
+0.0353434
+0.0347211
+0.0342039
+0.0336812
+0.0332737
+0.033
+0.0328469
+0.0327495
+0.0327986
+0.0329933
+0.0332901
+0.0337126
+0.0342339
+0.0347877
+0.035452
+0.0362075
+0.0370312
+0.0379246
+0.0376432
+0.036583
+0.0356262
+0.0347812
+0.0340081
+0.0333547
+0.0320355
+0.0301642
+0.0283203
+0.0265253
+0.0247725
+0.0229851
+0.0212696
+0.0196123
+0.0180247
+0.0165569
+0.015185
+0.0138813
+0.0124729
+0.0111156
+0.00989663
+0.00879979
+0.00796738
+0.0074064
+0.00709525
+0.00701001
+0.00714361
+0.0062941
+0.00538977
+0.00443768
+0.00380273
+0.00293847
+0.0014832
+0.000226253
+-0.00116913
+-0.00222408
+-0.00317459
+-0.00412467
+-0.00532059
+-0.00664947
+-0.00806168
+-0.00958522
+-0.00980484
+-0.00845886
+-0.00721611
+-0.0061185
+-0.00530988
+-0.00472455
+-0.00372792
+-0.00241761
+-0.00103714
+0.000495257
+0.00228925
+0.00432674
+0.00636499
+0.00847962
+0.0106251
+0.0127638
+0.0148209
+0.0169116
+0.0190249
+0.0204447
+0.0188255
+0.0172919
+0.0159113
+0.0146818
+0.0136784
+0.0127945
+0.0121356
+0.01184
+0.0119328
+0.0122794
+0.0129257
+0.0138856
+0.0150667
+0.016421
+0.0178663
+0.0194366
+0.0211172
+0.0385141
+0.0375892
+0.0367674
+0.0360367
+0.0354266
+0.0348961
+0.034438
+0.0341147
+0.033928
+0.0338074
+0.0338094
+0.0338571
+0.0340461
+0.0343713
+0.0348075
+0.0353589
+0.0360244
+0.0366972
+0.0374468
+0.0382723
+0.0391659
+0.0392525
+0.038237
+0.0373226
+0.0365066
+0.0357648
+0.0349582
+0.0331242
+0.0312992
+0.0295228
+0.0278022
+0.0260388
+0.0243349
+0.0226948
+0.0211139
+0.0196376
+0.0182518
+0.0169415
+0.0155184
+0.0141762
+0.0128994
+0.0117797
+0.0107621
+0.0100698
+0.00957006
+0.00928356
+0.00919567
+0.00866397
+0.00777955
+0.00660696
+0.00561017
+0.00478037
+0.00372522
+0.00270282
+0.00134523
+-5.20152e-05
+-0.00172226
+-0.00269099
+-0.00413372
+-0.00546611
+-0.00649638
+-0.00778732
+-0.00935565
+-0.0089426
+-0.00744228
+-0.00624334
+-0.0050369
+-0.00396985
+-0.00329727
+-0.00283582
+-0.00231271
+-0.000866988
+0.000510864
+0.00215736
+0.00415282
+0.00623912
+0.00836952
+0.0104671
+0.0125183
+0.01461
+0.0167271
+0.0188611
+0.0210067
+0.0194292
+0.0179184
+0.0165076
+0.0152508
+0.0142223
+0.0134705
+0.0128362
+0.0125099
+0.0124732
+0.0127327
+0.0133255
+0.0141933
+0.0152442
+0.0164847
+0.0179082
+0.01945
+0.0210857
+0.039151
+0.0382358
+0.0374064
+0.0366893
+0.0360911
+0.0356165
+0.0352478
+0.0349434
+0.034763
+0.0346951
+0.0347638
+0.0349698
+0.0351944
+0.0355116
+0.0359586
+0.0365073
+0.0371771
+0.0379187
+0.038725
+0.0395837
+0.0404602
+0.0409159
+0.0399427
+0.0390682
+0.038274
+0.0375671
+0.0361066
+0.0342993
+0.0325392
+0.0308322
+0.0291017
+0.0274074
+0.0257766
+0.0242049
+0.022723
+0.0213277
+0.0200101
+0.0185714
+0.0172007
+0.0159375
+0.0147697
+0.0136878
+0.0127974
+0.0121705
+0.0117178
+0.0114728
+0.0113498
+0.0103089
+0.0092344
+0.00805543
+0.00706036
+0.00592862
+0.00474608
+0.00323253
+0.00178682
+0.000472709
+-0.000863995
+-0.0020131
+-0.00328183
+-0.00475293
+-0.00627944
+-0.00795749
+-0.00910725
+-0.00794609
+-0.00654675
+-0.00531363
+-0.00398907
+-0.00307513
+-0.00204095
+-0.00154467
+-0.00122903
+-0.000258154
+0.00122482
+0.00285768
+0.00451309
+0.00642592
+0.00846096
+0.0105585
+0.0126303
+0.0147257
+0.0168282
+0.0189508
+0.0210873
+0.0200405
+0.0185071
+0.0171173
+0.0159011
+0.0148618
+0.0140833
+0.0135283
+0.0131689
+0.0131137
+0.0132316
+0.013693
+0.0144331
+0.0154274
+0.0166361
+0.0180049
+0.0194894
+0.0210973
+0.0398505
+0.0389571
+0.0381435
+0.0374405
+0.0368545
+0.0363909
+0.0360304
+0.0357994
+0.0356428
+0.0356011
+0.0356886
+0.0358894
+0.0362218
+0.0366748
+0.0371685
+0.0377093
+0.038358
+0.0391187
+0.0399516
+0.0408504
+0.0417932
+0.0426269
+0.0416937
+0.0408567
+0.0400832
+0.039079
+0.0373154
+0.0355697
+0.0338692
+0.0321697
+0.0304851
+0.0288619
+0.0272976
+0.02581
+0.0244092
+0.0230729
+0.0216372
+0.0202474
+0.0189843
+0.0177592
+0.0166589
+0.0156496
+0.0148769
+0.0142908
+0.0138769
+0.0136605
+0.0130104
+0.0119713
+0.0107586
+0.00969291
+0.00858521
+0.00721102
+0.0056997
+0.00413162
+0.00259202
+0.00112262
+3.7572e-05
+-0.00100961
+-0.00244863
+-0.00394503
+-0.00555087
+-0.00723147
+-0.00769777
+-0.00639803
+-0.00514128
+-0.00378516
+-0.00250848
+-0.00180844
+-0.00117643
+-0.000341334
+0.000125686
+0.00101944
+0.00225237
+0.00373416
+0.00533565
+0.00712564
+0.00903814
+0.0110177
+0.0130236
+0.0150638
+0.0171396
+0.0192409
+0.0213602
+0.02062
+0.0191331
+0.0177923
+0.0165884
+0.0155901
+0.0147014
+0.0140565
+0.0136546
+0.0134043
+0.0135092
+0.0139614
+0.0146912
+0.0156661
+0.0168408
+0.0181269
+0.0195653
+0.021121
+0.0406517
+0.0397809
+0.03899
+0.0383025
+0.0377299
+0.0372772
+0.0369253
+0.0366999
+0.0366045
+0.0365792
+0.0366697
+0.0368886
+0.037212
+0.0376603
+0.0382291
+0.0388718
+0.0395914
+0.0403401
+0.0411812
+0.0421028
+0.0430873
+0.0440893
+0.0434841
+0.0426759
+0.0419288
+0.040344
+0.0386108
+0.0369163
+0.0352372
+0.0335665
+0.0319497
+0.0303858
+0.0288906
+0.0274889
+0.0261323
+0.0247097
+0.0233076
+0.0220033
+0.0207805
+0.0196554
+0.0185808
+0.0176652
+0.0169534
+0.0164264
+0.0160446
+0.0158245
+0.0147601
+0.0135878
+0.0124355
+0.0112856
+0.00994875
+0.0083769
+0.0069112
+0.00541573
+0.00391776
+0.00250165
+0.00133325
+-0.000305253
+-0.00157902
+-0.00297582
+-0.00472461
+-0.00604329
+-0.00646381
+-0.00501032
+-0.00369996
+-0.00244769
+-0.00114467
+-0.000101418
+0.000299043
+0.000885706
+0.00159148
+0.00239374
+0.00349264
+0.00499001
+0.00647438
+0.00814876
+0.00991316
+0.0118
+0.0137292
+0.0156779
+0.0176818
+0.0197254
+0.0217976
+0.0213582
+0.0198798
+0.0185429
+0.0172914
+0.0161645
+0.0152693
+0.0145962
+0.014192
+0.0140177
+0.0141251
+0.01445
+0.0150703
+0.0159694
+0.0170533
+0.0183236
+0.0197331
+0.0212598
+0.0415178
+0.0406689
+0.0399223
+0.0392679
+0.0387096
+0.0382685
+0.0379258
+0.0377064
+0.0376135
+0.0376465
+0.0377344
+0.0379488
+0.0382876
+0.0387378
+0.039291
+0.0399395
+0.0406899
+0.0415051
+0.0423774
+0.0433429
+0.0443288
+0.0453936
+0.0453046
+0.0445218
+0.043347
+0.0416604
+0.0399712
+0.0382983
+0.0366508
+0.0350393
+0.0334754
+0.0319746
+0.0305573
+0.0291998
+0.0277864
+0.0263767
+0.0250406
+0.0238216
+0.0226357
+0.0215469
+0.0205424
+0.0197181
+0.0190554
+0.0185735
+0.0182168
+0.0175668
+0.0164361
+0.0152633
+0.0140992
+0.012842
+0.0112449
+0.00977289
+0.00807324
+0.00664578
+0.00507017
+0.00376399
+0.00245709
+0.000844726
+-0.00069167
+-0.00232335
+-0.00394049
+-0.00529516
+-0.00517824
+-0.00365836
+-0.00245533
+-0.0012322
+0.000203927
+0.0012802
+0.0018528
+0.00219747
+0.00305366
+0.00383441
+0.00470833
+0.00601689
+0.00765308
+0.00935856
+0.0110919
+0.012823
+0.0146586
+0.0165473
+0.0184651
+0.020425
+0.0223847
+0.0220345
+0.0205597
+0.0192218
+0.017967
+0.016828
+0.0159045
+0.0152089
+0.0146608
+0.0144279
+0.0145158
+0.0148597
+0.015418
+0.0162409
+0.0173038
+0.0185653
+0.0199577
+0.0214239
+0.0424794
+0.0416452
+0.0409078
+0.0402762
+0.0397554
+0.0393498
+0.0390238
+0.0388106
+0.0387203
+0.0387538
+0.0388935
+0.0391015
+0.0394304
+0.039877
+0.0404231
+0.0410705
+0.041804
+0.0426342
+0.0435282
+0.0444911
+0.0455211
+0.0466275
+0.0471566
+0.0463606
+0.0447079
+0.0430303
+0.0413649
+0.0397372
+0.0381303
+0.0365665
+0.0350611
+0.0336311
+0.0322732
+0.0308673
+0.0294519
+0.0280912
+0.0268406
+0.0256439
+0.0245428
+0.0234759
+0.0225463
+0.02178
+0.0211671
+0.0207292
+0.0203913
+0.0193524
+0.0181794
+0.0169632
+0.0156484
+0.0139025
+0.0122568
+0.0107284
+0.00918536
+0.00759546
+0.00605954
+0.00437228
+0.00314658
+0.00185924
+0.000591525
+-0.00130584
+-0.00236284
+-0.00399963
+-0.00381861
+-0.00225755
+-0.000753186
+0.000378354
+0.00156606
+0.00274232
+0.00341185
+0.00337382
+0.00382072
+0.00489543
+0.00588896
+0.00708983
+0.00837033
+0.00972667
+0.0112816
+0.012967
+0.0147469
+0.0166011
+0.0185289
+0.020448
+0.0224057
+0.0227255
+0.0212266
+0.0198252
+0.018556
+0.0174286
+0.0164306
+0.0156465
+0.0151142
+0.0148874
+0.0149262
+0.015276
+0.0159223
+0.0167224
+0.0176966
+0.0187843
+0.0199803
+0.0213163
+0.0435122
+0.0426947
+0.0419758
+0.0413604
+0.0408535
+0.0404589
+0.0401527
+0.0399455
+0.0398578
+0.0398905
+0.0400431
+0.0403064
+0.0406492
+0.0410925
+0.0416327
+0.0422616
+0.0429931
+0.0438085
+0.0446995
+0.0456464
+0.0466655
+0.0477536
+0.0489158
+0.0477362
+0.046094
+0.0444358
+0.0428152
+0.0412223
+0.0396586
+0.0381494
+0.036709
+0.0353458
+0.0339514
+0.0325314
+0.0311512
+0.029868
+0.0286713
+0.02752
+0.0264387
+0.0254374
+0.024582
+0.0238591
+0.0232904
+0.0228865
+0.0222591
+0.0210835
+0.0198713
+0.0183285
+0.0165741
+0.0149154
+0.0132444
+0.0117167
+0.01035
+0.00872093
+0.0070165
+0.00559394
+0.00408506
+0.00238316
+0.000325961
+-0.000520861
+-0.00156944
+-0.00228982
+-0.00209753
+-0.00138719
+0.000246261
+0.00138633
+0.00271644
+0.00415948
+0.00502925
+0.0048152
+0.00515174
+0.00580228
+0.00635534
+0.0073262
+0.00861734
+0.00994434
+0.0114862
+0.0131605
+0.0149528
+0.0168256
+0.0187303
+0.0206917
+0.0226397
+0.0232966
+0.0218155
+0.0204428
+0.0191795
+0.0180006
+0.0170232
+0.0162676
+0.0157564
+0.0155399
+0.0156125
+0.0158943
+0.0164037
+0.017051
+0.0178594
+0.0188607
+0.0200321
+0.0213646
+0.0446201
+0.043822
+0.0431205
+0.0425205
+0.0420244
+0.0416193
+0.0413115
+0.0411102
+0.041025
+0.0410566
+0.0412049
+0.0414686
+0.0418454
+0.0423037
+0.0428542
+0.0435081
+0.044241
+0.0450469
+0.0459246
+0.0468656
+0.0478715
+0.0489394
+0.050074
+0.0491505
+0.0475094
+0.0458924
+0.0443152
+0.0427516
+0.0412393
+0.0397901
+0.0384113
+0.0370294
+0.0356095
+0.0342181
+0.0329086
+0.0316967
+0.0305186
+0.0294259
+0.0283723
+0.0274336
+0.0266329
+0.0259567
+0.0254251
+0.0250409
+0.0240213
+0.0228152
+0.0211083
+0.0193579
+0.0176538
+0.0159508
+0.0143769
+0.0129326
+0.011594
+0.00991934
+0.00840767
+0.00681094
+0.00485306
+0.00287022
+0.00124056
+-0.000172333
+-0.00110116
+-0.00134709
+-0.000995334
+-0.000639818
+0.000838848
+0.00280062
+0.0038892
+0.00525297
+0.0064151
+0.00622391
+0.00600306
+0.00625298
+0.00705043
+0.00798518
+0.00914028
+0.0103871
+0.0118715
+0.0135282
+0.0153078
+0.0171605
+0.0190728
+0.0210394
+0.0230464
+0.0239345
+0.0224808
+0.021132
+0.0198497
+0.0187269
+0.0177708
+0.0170422
+0.0165076
+0.0162441
+0.016258
+0.0164354
+0.016811
+0.0173561
+0.0181509
+0.0191243
+0.0202669
+0.0215478
+0.0457918
+0.0450145
+0.0443319
+0.0437451
+0.0432447
+0.0428505
+0.0425516
+0.0423561
+0.0422734
+0.0423042
+0.0424481
+0.0427041
+0.0430701
+0.0435372
+0.0440933
+0.0447495
+0.0454818
+0.0463062
+0.0471833
+0.0481167
+0.0491135
+0.0501824
+0.0512997
+0.0505856
+0.0489722
+0.0474051
+0.0458453
+0.0443302
+0.0428736
+0.0414816
+0.0401037
+0.0386896
+0.0372901
+0.0359591
+0.0347154
+0.0335352
+0.0324087
+0.0313327
+0.0303335
+0.0294574
+0.0286949
+0.0280677
+0.0275686
+0.0269949
+0.0257762
+0.0239663
+0.0222063
+0.0204769
+0.018776
+0.0171833
+0.0156853
+0.0143613
+0.012828
+0.0112743
+0.00968641
+0.00772203
+0.00586176
+0.00418248
+0.00285822
+0.00142846
+0.000163431
+3.30094e-05
+0.000549352
+0.000775134
+0.0018236
+0.0036063
+0.00517499
+0.00649125
+0.00762573
+0.00693225
+0.00676135
+0.00710104
+0.00785361
+0.00876875
+0.00993002
+0.0111646
+0.012557
+0.0141334
+0.0158565
+0.0176555
+0.0195269
+0.0214588
+0.0234363
+0.024633
+0.0231487
+0.0217807
+0.0205327
+0.0194499
+0.018515
+0.0177971
+0.0172629
+0.0169017
+0.0168203
+0.0169918
+0.0173125
+0.0178422
+0.0185901
+0.0195334
+0.0206556
+0.021919
+0.0468846
+0.04628
+0.0456111
+0.0450248
+0.0445387
+0.0441561
+0.0438606
+0.043671
+0.0435907
+0.0436205
+0.04376
+0.0440083
+0.0443635
+0.0448102
+0.0453507
+0.0459893
+0.046722
+0.0475444
+0.048452
+0.0493732
+0.0503646
+0.0514216
+0.0525419
+0.0520541
+0.0504876
+0.0489395
+0.0474221
+0.0459591
+0.0445558
+0.0431696
+0.0417724
+0.0403661
+0.039017
+0.0377469
+0.0365641
+0.0353998
+0.0343134
+0.0332692
+0.0323243
+0.0314999
+0.0307747
+0.0301834
+0.029719
+0.028671
+0.0268768
+0.02511
+0.0233697
+0.0216744
+0.0200736
+0.0185473
+0.01707
+0.0154779
+0.0140176
+0.0122838
+0.01031
+0.00844386
+0.00672535
+0.00531847
+0.00446896
+0.00308001
+0.00213218
+0.0020959
+0.00263315
+0.00294278
+0.00358802
+0.00490978
+0.00645448
+0.00771114
+0.00871801
+0.00809025
+0.00794915
+0.00827937
+0.00898363
+0.00988349
+0.0109844
+0.0122306
+0.0135287
+0.0150222
+0.0166663
+0.0183915
+0.0201957
+0.0220701
+0.023998
+0.0253207
+0.0238544
+0.0225062
+0.0212984
+0.0202185
+0.0193197
+0.018601
+0.0180016
+0.0176266
+0.0174663
+0.0174899
+0.0177461
+0.0182633
+0.0190202
+0.0199653
+0.0210451
+0.0222437
+0.0478031
+0.0472766
+0.0468468
+0.0463727
+0.0459009
+0.0455117
+0.045223
+0.045039
+0.0449612
+0.0449901
+0.0451254
+0.0453662
+0.0457109
+0.0461521
+0.0466771
+0.0472978
+0.0480105
+0.0488112
+0.0496957
+0.0506595
+0.0516315
+0.0526588
+0.0537533
+0.053572
+0.0520342
+0.0505148
+0.0490462
+0.047633
+0.0462399
+0.0448502
+0.0434452
+0.0420808
+0.0407885
+0.0395753
+0.0384079
+0.0372999
+0.0362279
+0.0352303
+0.0343394
+0.0335488
+0.0328689
+0.0323083
+0.0316044
+0.0298085
+0.0280553
+0.0263086
+0.0246207
+0.0230142
+0.0214749
+0.0198104
+0.018189
+0.0166738
+0.0150392
+0.0131142
+0.0112674
+0.00953463
+0.00802883
+0.00687512
+0.00568079
+0.00450621
+0.00384024
+0.00385683
+0.00416529
+0.00425274
+0.00504492
+0.00634939
+0.00800486
+0.00918216
+0.0100329
+0.00956959
+0.00943321
+0.00971896
+0.0103589
+0.0112708
+0.0122956
+0.0134454
+0.0147466
+0.0161432
+0.0176873
+0.0193445
+0.0210673
+0.0228703
+0.024736
+0.0260207
+0.0245962
+0.0232909
+0.0220901
+0.0209904
+0.0200329
+0.0192565
+0.0186801
+0.0182678
+0.0180389
+0.0180251
+0.0182658
+0.0187191
+0.0194106
+0.0203158
+0.0213456
+0.0225185
+0.0487359
+0.048239
+0.0478372
+0.0475139
+0.0472897
+0.0469284
+0.0466484
+0.0464701
+0.0463947
+0.0464227
+0.0465538
+0.0467873
+0.0471216
+0.0475545
+0.0480667
+0.0486697
+0.0493626
+0.0501418
+0.0510032
+0.0519427
+0.0529545
+0.0539565
+0.0550252
+0.0551293
+0.0536081
+0.0521345
+0.0507128
+0.0493136
+0.0479129
+0.0465269
+0.0451493
+0.043838
+0.042599
+0.0414293
+0.0402852
+0.0392036
+0.0381666
+0.0372171
+0.0363748
+0.0356147
+0.0349749
+0.0344414
+0.0327708
+0.0310139
+0.0292694
+0.0275887
+0.0258977
+0.0241876
+0.0225599
+0.0210037
+0.0194611
+0.0177272
+0.0158025
+0.0139565
+0.0122249
+0.0106635
+0.00931879
+0.00831247
+0.00702306
+0.00600072
+0.00535499
+0.00536985
+0.00578059
+0.00591565
+0.0065721
+0.00772766
+0.00917473
+0.0106582
+0.0109672
+0.0107629
+0.0109273
+0.0113048
+0.0119528
+0.0128176
+0.0137614
+0.0148026
+0.0160053
+0.0173932
+0.0188901
+0.020449
+0.0221152
+0.0233462
+0.024576
+0.0259279
+0.0254292
+0.0240842
+0.0228477
+0.0217518
+0.0208293
+0.0200332
+0.0192863
+0.0187668
+0.0184938
+0.0184784
+0.018721
+0.0191749
+0.0198505
+0.0207366
+0.0217561
+0.0229079
+0.0497109
+0.0492237
+0.0488301
+0.0485322
+0.0483319
+0.0482304
+0.0481314
+0.0479587
+0.0478856
+0.0479127
+0.0480398
+0.048266
+0.0485901
+0.0490061
+0.0495008
+0.0500866
+0.0507601
+0.0515182
+0.0523569
+0.0532726
+0.0542614
+0.0553088
+0.0563536
+0.0567019
+0.055224
+0.0537947
+0.0523902
+0.0509799
+0.0496106
+0.0482216
+0.0468938
+0.0456327
+0.0444438
+0.0432865
+0.0421913
+0.0411238
+0.0401276
+0.0392255
+0.0384141
+0.0376946
+0.0370892
+0.0357562
+0.0339879
+0.0322349
+0.0304466
+0.0286732
+0.0269612
+0.0253167
+0.0237524
+0.0222453
+0.0203881
+0.0184809
+0.0166436
+0.0149022
+0.0132912
+0.0118301
+0.0106198
+0.00972267
+0.00864618
+0.00772195
+0.00720852
+0.00723559
+0.00767045
+0.00783194
+0.0083767
+0.00932626
+0.0106288
+0.0111531
+0.0105925
+0.0103806
+0.0105805
+0.0111628
+0.0120138
+0.0130379
+0.0141297
+0.0154016
+0.0167749
+0.0178985
+0.0185174
+0.0193657
+0.0203779
+0.0215577
+0.0228821
+0.0243284
+0.0258796
+0.024763
+0.0235567
+0.0224938
+0.02156
+0.0206582
+0.0199348
+0.0194326
+0.0191691
+0.0191542
+0.0193883
+0.019827
+0.0204811
+0.021341
+0.0222801
+0.023287
+0.0507617
+0.0502847
+0.0498994
+0.049608
+0.0494121
+0.0493071
+0.0492861
+0.0493625
+0.0494286
+0.0494548
+0.049578
+0.0497973
+0.0501115
+0.0505016
+0.0509818
+0.0515507
+0.0522054
+0.0529428
+0.0537593
+0.0546515
+0.0556157
+0.0566483
+0.0577199
+0.0583144
+0.0568784
+0.0554692
+0.0540504
+0.0526846
+0.051297
+0.0499549
+0.0486745
+0.0474606
+0.0463004
+0.0451735
+0.0440957
+0.0430642
+0.0421112
+0.0412525
+0.0404688
+0.0397865
+0.0386842
+0.0368573
+0.0350722
+0.0332742
+0.0315076
+0.0297974
+0.0281429
+0.0265644
+0.0250531
+0.023158
+0.0212736
+0.0194534
+0.0177172
+0.0160801
+0.0145691
+0.0132495
+0.0121578
+0.0113825
+0.0104362
+0.00962946
+0.00920983
+0.00923459
+0.0096611
+0.00986317
+0.0103011
+0.0111274
+0.0112556
+0.0105987
+0.0103713
+0.0103697
+0.0106155
+0.0112136
+0.0121036
+0.0132223
+0.0143895
+0.0151825
+0.0153808
+0.0158239
+0.0165207
+0.0174527
+0.0185599
+0.0198481
+0.0212792
+0.0228273
+0.0244737
+0.0254642
+0.0242889
+0.0232432
+0.0222576
+0.0214511
+0.0207949
+0.020314
+0.0200621
+0.0200478
+0.0202716
+0.0206916
+0.0212484
+0.0219158
+0.0227285
+0.0237163
+0.0518752
+0.0514086
+0.0510318
+0.0507469
+0.0505554
+0.0504463
+0.0504258
+0.0505005
+0.0506699
+0.050933
+0.0511638
+0.0513763
+0.0516691
+0.0520464
+0.0525125
+0.053065
+0.0537012
+0.0544183
+0.055213
+0.0560821
+0.0570221
+0.0580297
+0.0590876
+0.0599636
+0.0585501
+0.0571239
+0.0557473
+0.0543749
+0.0530203
+0.0517229
+0.0504873
+0.0493152
+0.0481691
+0.047075
+0.0460204
+0.0450251
+0.0441144
+0.0432869
+0.042537
+0.041543
+0.0397268
+0.0379498
+0.0361462
+0.0343875
+0.0326781
+0.031021
+0.0294339
+0.0279112
+0.0260021
+0.0241409
+0.0223395
+0.0206136
+0.018965
+0.0174288
+0.0160454
+0.0148422
+0.0138723
+0.0129234
+0.012082
+0.0115242
+0.0112817
+0.0113019
+0.0115896
+0.0116938
+0.0114008
+0.0112565
+0.0105022
+0.00989646
+0.00965308
+0.00985183
+0.0103031
+0.011053
+0.0119348
+0.0127827
+0.0130872
+0.0130654
+0.013289
+0.0137853
+0.0145799
+0.0156015
+0.016831
+0.0182416
+0.0197893
+0.0214094
+0.0229772
+0.0246402
+0.0250441
+0.0239346
+0.0229787
+0.0221979
+0.0215808
+0.0211734
+0.0209552
+0.0209347
+0.0210589
+0.0213666
+0.0218903
+0.0225511
+0.0233598
+0.0243172
+0.0530467
+0.0525905
+0.0522223
+0.0519439
+0.0517568
+0.0516533
+0.0516334
+0.0517063
+0.0518717
+0.0521287
+0.0524761
+0.0529119
+0.0532701
+0.0536362
+0.0540886
+0.0546251
+0.0552434
+0.0559407
+0.0567141
+0.0575605
+0.0584768
+0.0594597
+0.0604975
+0.0615774
+0.0601999
+0.0588137
+0.0574482
+0.0560892
+0.054777
+0.0535222
+0.0523291
+0.0511741
+0.0500638
+0.0489877
+0.0479621
+0.0470062
+0.0461346
+0.0453324
+0.044434
+0.0426284
+0.0408378
+0.0390527
+0.0373024
+0.035594
+0.033938
+0.0323455
+0.030738
+0.0288517
+0.0270113
+0.025227
+0.0234956
+0.0218389
+0.0202838
+0.0188554
+0.0175782
+0.0164443
+0.0154286
+0.0145725
+0.0138364
+0.0133491
+0.0128508
+0.0115303
+0.0104367
+0.00963346
+0.00921559
+0.00915629
+0.00926574
+0.00887857
+0.00884638
+0.00914388
+0.00958136
+0.0100876
+0.0102158
+0.0106855
+0.0110246
+0.0109771
+0.0112346
+0.0118013
+0.0127097
+0.0138497
+0.0152214
+0.016768
+0.0183205
+0.0198905
+0.021569
+0.0233326
+0.0251634
+0.024781
+0.023859
+0.0231032
+0.0224947
+0.022051
+0.0218191
+0.0216886
+0.0217681
+0.022066
+0.0225734
+0.0232768
+0.0241495
+0.0250571
+0.0542814
+0.0538357
+0.053476
+0.0532042
+0.0530215
+0.0529236
+0.0529041
+0.0529752
+0.0531367
+0.0533877
+0.0537268
+0.0541526
+0.0546629
+0.0552554
+0.0557062
+0.0562274
+0.0568282
+0.0575063
+0.0582589
+0.0590832
+0.0599762
+0.0609344
+0.0619438
+0.0630125
+0.0618833
+0.060524
+0.0591578
+0.0578357
+0.056564
+0.0553497
+0.0541811
+0.0530546
+0.0519614
+0.0509162
+0.0499228
+0.0490052
+0.0481649
+0.0473406
+0.0455078
+0.0437079
+0.0419452
+0.0402246
+0.0385384
+0.0368844
+0.035289
+0.0335146
+0.0316421
+0.029813
+0.0280284
+0.0262924
+0.024629
+0.023054
+0.0215866
+0.0202498
+0.0190235
+0.0179325
+0.0169968
+0.0161082
+0.0146747
+0.0129012
+0.0112508
+0.00977134
+0.0085119
+0.00756284
+0.00703388
+0.0069733
+0.00740367
+0.0075231
+0.00746263
+0.00789866
+0.00809997
+0.00796037
+0.00804343
+0.00860799
+0.00900081
+0.008938
+0.00922862
+0.00990488
+0.0109336
+0.0122402
+0.0137731
+0.0152354
+0.0168081
+0.0185068
+0.0203001
+0.0221648
+0.0240846
+0.0257618
+0.024839
+0.0240805
+0.0234886
+0.0230639
+0.0227207
+0.0225851
+0.0226615
+0.0229478
+0.0234362
+0.0241144
+0.0249671
+0.0258728
+0.0555751
+0.0551398
+0.0547886
+0.0545234
+0.0543452
+0.0542513
+0.0542323
+0.0543018
+0.0544593
+0.0547042
+0.0550352
+0.0554509
+0.0559494
+0.0565284
+0.0571855
+0.0578682
+0.0584521
+0.0591116
+0.059844
+0.0606468
+0.0615171
+0.0624483
+0.0634329
+0.0644768
+0.0635976
+0.0622262
+0.0608982
+0.0596115
+0.0583785
+0.0571979
+0.0560499
+0.0549486
+0.0538789
+0.05286
+0.0519019
+0.0510199
+0.0502029
+0.0483984
+0.0466072
+0.0448514
+0.0431347
+0.0414521
+0.0398183
+0.038224
+0.0363432
+0.0344851
+0.0326666
+0.030881
+0.0291502
+0.0274852
+0.0258985
+0.0244055
+0.0230244
+0.0217383
+0.0205973
+0.019438
+0.0174195
+0.0154385
+0.0135006
+0.0116526
+0.00982833
+0.00815567
+0.00670199
+0.00553978
+0.00486026
+0.00479702
+0.00530513
+0.00536682
+0.00527939
+0.00583445
+0.00602839
+0.00577803
+0.00588461
+0.00659716
+0.00705805
+0.00699126
+0.00732126
+0.00815283
+0.00933534
+0.0107979
+0.0121569
+0.0137326
+0.0154589
+0.0172908
+0.0191979
+0.0211601
+0.0231632
+0.0251976
+0.0259198
+0.0251938
+0.024614
+0.0240946
+0.0237657
+0.0236361
+0.0237092
+0.0239829
+0.0244506
+0.0251015
+0.0258176
+0.0266124
+0.0569237
+0.0564987
+0.0561561
+0.0558973
+0.0557235
+0.055632
+0.0556135
+0.0556812
+0.0558348
+0.0560737
+0.0563967
+0.0568025
+0.0572892
+0.0578548
+0.058497
+0.0592133
+0.0600012
+0.0607535
+0.0614664
+0.0622482
+0.0630965
+0.0640007
+0.0649617
+0.0659814
+0.0652975
+0.0638275
+0.0623305
+0.0608756
+0.0594658
+0.0581044
+0.0567949
+0.0555409
+0.0543464
+0.0532153
+0.0521517
+0.0511598
+0.0502341
+0.0493798
+0.0477816
+0.0460614
+0.044381
+0.0427468
+0.0410426
+0.0391832
+0.0373329
+0.0355204
+0.0337433
+0.0320174
+0.0303515
+0.0287561
+0.0272435
+0.0258284
+0.0245249
+0.0229844
+0.0208609
+0.0187438
+0.0166413
+0.0145648
+0.0125273
+0.0105414
+0.00861608
+0.00677849
+0.00506392
+0.00363505
+0.00271421
+0.00263634
+0.00330154
+0.00325678
+0.00310495
+0.00386562
+0.00405239
+0.00360524
+0.00376236
+0.00467605
+0.00528415
+0.00519903
+0.00562426
+0.00660848
+0.0078125
+0.00909174
+0.0106703
+0.0124359
+0.0143194
+0.0162799
+0.0182928
+0.0203368
+0.0224013
+0.0244874
+0.0265691
+0.0263847
+0.0257401
+0.0252432
+0.0249294
+0.024806
+0.0248755
+0.0251366
+0.025485
+0.0259317
+0.0265522
+0.0273292
+0.0583234
+0.0579087
+0.0575745
+0.0573221
+0.0571526
+0.0570634
+0.0570453
+0.0571114
+0.0572612
+0.0574941
+0.0578092
+0.0582051
+0.0586802
+0.0592325
+0.0598599
+0.0605602
+0.0613307
+0.0621689
+0.0630721
+0.0638846
+0.064711
+0.0655894
+0.0665275
+0.0668792
+0.0653052
+0.0637677
+0.0622693
+0.0608129
+0.0594016
+0.0580387
+0.0567277
+0.0554722
+0.0542761
+0.0531435
+0.0520785
+0.0510852
+0.0501581
+0.0493025
+0.0485308
+0.0473314
+0.0456227
+0.0438541
+0.0419811
+0.0401401
+0.0383276
+0.0365556
+0.0348313
+0.033162
+0.0315567
+0.0300254
+0.0285801
+0.0268451
+0.0246816
+0.0225233
+0.020372
+0.01823
+0.0160935
+0.0139533
+0.0118302
+0.00971711
+0.00764321
+0.00564675
+0.00376711
+0.00197988
+0.000646708
+0.000497638
+0.00164788
+0.00126616
+0.000985676
+0.00197598
+0.00227438
+0.0014578
+0.0017124
+0.00294154
+0.00379055
+0.00371863
+0.00413475
+0.00492155
+0.00606013
+0.00763701
+0.00946153
+0.0114148
+0.0134294
+0.0154845
+0.0175632
+0.0196457
+0.0217495
+0.0238689
+0.0260001
+0.0276091
+0.026969
+0.0264951
+0.0261964
+0.0260238
+0.0259474
+0.0260557
+0.0263462
+0.0267891
+0.0273768
+0.0281034
+0.0597706
+0.0593661
+0.0590401
+0.058794
+0.0586288
+0.0585418
+0.0585242
+0.0585885
+0.0587346
+0.0589617
+0.059269
+0.0596552
+0.0601188
+0.060658
+0.0612709
+0.0619552
+0.0627085
+0.0635286
+0.0644127
+0.0653583
+0.066356
+0.0672121
+0.0681278
+0.0668939
+0.0653203
+0.0637831
+0.0622851
+0.0608291
+0.0594182
+0.0580557
+0.056745
+0.0554899
+0.0542943
+0.053162
+0.0520974
+0.0511044
+0.0501777
+0.0493225
+0.0485511
+0.0478676
+0.0466805
+0.0448184
+0.0429813
+0.0411765
+0.0394108
+0.0376898
+0.0360198
+0.0344083
+0.0328638
+0.0309763
+0.0287898
+0.0266041
+0.0244192
+0.0222355
+0.0200533
+0.0178731
+0.0156959
+0.0135231
+0.0113571
+0.00920275
+0.00707086
+0.00492704
+0.00280595
+0.000757039
+-0.00107957
+-0.00126604
+0.000456625
+-0.000270044
+-0.00101486
+-2.12351e-05
+0.000822476
+-0.000609515
+-9.7792e-05
+0.00163606
+0.00266673
+0.00246412
+0.00235719
+0.0031602
+0.004682
+0.00656331
+0.008584
+0.0106431
+0.0127269
+0.0148413
+0.0169751
+0.0191218
+0.0212774
+0.0234396
+0.0256066
+0.0277773
+0.0282061
+0.0276191
+0.0271965
+0.0269459
+0.0268722
+0.0269767
+0.0272436
+0.0276306
+0.0281809
+0.0288872
+0.061262
+0.0608674
+0.0605495
+0.0603095
+0.0601485
+0.0600637
+0.0600466
+0.0601093
+0.0602516
+0.0604731
+0.0607727
+0.0611494
+0.0616018
+0.0621281
+0.0627266
+0.0633952
+0.0641317
+0.0649337
+0.065799
+0.066725
+0.0677092
+0.0687492
+0.0685858
+0.0669803
+0.0654088
+0.0638737
+0.0623779
+0.0609241
+0.0595154
+0.0581552
+0.0568467
+0.0555919
+0.0543963
+0.0532641
+0.0521992
+0.051206
+0.0502786
+0.0494251
+0.0486554
+0.0479734
+0.0473829
+0.0458551
+0.0440591
+0.0423002
+0.0405835
+0.0389143
+0.0372992
+0.0353043
+0.0331137
+0.0309232
+0.0287327
+0.0265423
+0.0243518
+0.0221615
+0.0199712
+0.017781
+0.0155909
+0.013401
+0.0112115
+0.00902245
+0.00683455
+0.00464925
+0.00247183
+0.000309881
+-0.00171512
+-0.00207598
+-0.000294509
+-0.000987973
+-0.00189563
+-0.000606628
+7.64904e-05
+-0.00190272
+-0.000872548
+0.000877938
+0.00189146
+0.00146795
+0.000787887
+0.00178953
+0.00374905
+0.00582885
+0.00796694
+0.0101276
+0.0122988
+0.0144759
+0.0166566
+0.0188396
+0.0210242
+0.0232099
+0.0253965
+0.0275838
+0.0291645
+0.0285972
+0.0281893
+0.0279476
+0.0278765
+0.027951
+0.0281891
+0.0285807
+0.029113
+0.0297973
+0.0627944
+0.0624095
+0.0620995
+0.0618656
+0.0617086
+0.061626
+0.0616092
+0.0616704
+0.0618091
+0.062025
+0.0623172
+0.0626846
+0.063126
+0.0636397
+0.0642241
+0.0648773
+0.0655971
+0.0663814
+0.0672281
+0.0681346
+0.0690988
+0.0701181
+0.0687349
+0.0671332
+0.0655656
+0.0640337
+0.0625398
+0.0610879
+0.0596812
+0.0583228
+0.0570163
+0.0557653
+0.0545735
+0.053445
+0.0523838
+0.0513942
+0.0504702
+0.0496201
+0.0488534
+0.0481742
+0.0475862
+0.0469691
+0.0452173
+0.0435053
+0.0418381
+0.0397649
+0.0375789
+0.0353936
+0.0332089
+0.0310251
+0.0288424
+0.0266609
+0.0244811
+0.0223022
+0.0201234
+0.0179464
+0.0157732
+0.0136056
+0.0114469
+0.00930299
+0.00718743
+0.0050701
+0.00293641
+0.000916477
+-0.000518983
+-0.000475283
+0.000847238
+0.000643196
+0.000175618
+0.0010825
+0.000539245
+-0.000536009
+-0.000451805
+0.000908337
+0.00207651
+0.00141093
+0.000115325
+0.00128208
+0.00346069
+0.00564117
+0.00782289
+0.0100083
+0.0121956
+0.0143839
+0.0165728
+0.0187622
+0.0209518
+0.0231417
+0.0253316
+0.0275217
+0.0297119
+0.0296929
+0.0293002
+0.0290677
+0.028974
+0.029039
+0.0292683
+0.0296456
+0.0301592
+0.0308202
+0.0643649
+0.0639894
+0.0636871
+0.0634591
+0.063306
+0.0632255
+0.0632092
+0.0632688
+0.063404
+0.0636145
+0.0638994
+0.0642578
+0.0646884
+0.0651899
+0.0657605
+0.0663985
+0.067102
+0.067869
+0.0686973
+0.0695847
+0.070529
+0.0705734
+0.0689448
+0.0673481
+0.0657857
+0.064259
+0.0627704
+0.0613241
+0.0599229
+0.0585701
+0.0572692
+0.0560238
+0.0548377
+0.0537147
+0.052659
+0.0516747
+0.0507558
+0.0499105
+0.0491483
+0.0484733
+0.047889
+0.0473989
+0.04645
+0.0442803
+0.0421047
+0.0399307
+0.0377587
+0.0355889
+0.0334219
+0.0312581
+0.0290947
+0.0269301
+0.0247701
+0.022616
+0.0204697
+0.0183339
+0.0162127
+0.0140892
+0.0119595
+0.00985653
+0.00780202
+0.00578973
+0.00396309
+0.0024485
+0.00163425
+0.00166664
+0.00241763
+0.00257677
+0.00231135
+0.0029624
+0.00224152
+0.00159647
+0.00148024
+0.00226363
+0.00333747
+0.00258458
+0.00180311
+0.00233542
+0.00405115
+0.00604945
+0.00812223
+0.010244
+0.0123897
+0.0145489
+0.0167162
+0.018889
+0.0210654
+0.0232446
+0.0254257
+0.0276083
+0.0297921
+0.0308958
+0.0305185
+0.0302808
+0.0301845
+0.0302469
+0.030467
+0.0308297
+0.0313238
+0.0319608
+0.0659708
+0.0656045
+0.0653097
+0.0650873
+0.0649381
+0.0648596
+0.0648437
+0.0649018
+0.0650336
+0.0652388
+0.0655167
+0.0658663
+0.0662865
+0.0667759
+0.0673331
+0.0679564
+0.0686439
+0.0693938
+0.0702041
+0.0710727
+0.0719976
+0.0708456
+0.0692235
+0.0676334
+0.0660777
+0.0645579
+0.0630764
+0.0616372
+0.0602433
+0.0588979
+0.0576044
+0.0563664
+0.0551876
+0.054072
+0.0530234
+0.0520459
+0.0511337
+0.0502947
+0.0495385
+0.0488688
+0.0482893
+0.0478033
+0.0466515
+0.044484
+0.0423189
+0.0401565
+0.0379973
+0.035842
+0.0336913
+0.031546
+0.0294075
+0.0272772
+0.0251573
+0.0230507
+0.0209613
+0.0188635
+0.0167818
+0.0147169
+0.0126806
+0.0106861
+0.00878551
+0.0070483
+0.00550477
+0.00433317
+0.00380907
+0.00384312
+0.00435019
+0.00465974
+0.00447751
+0.00494039
+0.00426214
+0.00374717
+0.003613
+0.00412164
+0.00507654
+0.00436251
+0.00388096
+0.00421485
+0.00537823
+0.00703429
+0.00892385
+0.0109219
+0.0129567
+0.0150346
+0.0171407
+0.0192656
+0.0214038
+0.0235517
+0.0257067
+0.0278674
+0.0300324
+0.0321831
+0.0318212
+0.0315911
+0.0314988
+0.0315586
+0.0317697
+0.0321159
+0.0325905
+0.0332032
+0.0676095
+0.0672522
+0.0669646
+0.0667477
+0.0666022
+0.0665257
+0.0665102
+0.0665668
+0.0666954
+0.0668955
+0.0671665
+0.0675075
+0.0679176
+0.0683953
+0.0689394
+0.0695483
+0.0702203
+0.0709535
+0.0717462
+0.0725964
+0.0727677
+0.0711843
+0.06957
+0.0679881
+0.0664407
+0.0649294
+0.0634566
+0.0620262
+0.0606412
+0.0593048
+0.0580204
+0.0567915
+0.0556217
+0.0545149
+0.053475
+0.052506
+0.0516019
+0.0507707
+0.0500216
+0.0493585
+0.0487848
+0.0483038
+0.0469473
+0.0447941
+0.0426447
+0.0404997
+0.0383599
+0.0362261
+0.0340996
+0.0319818
+0.0298744
+0.02778
+0.0257016
+0.02364
+0.0215744
+0.0195361
+0.0175345
+0.0155838
+0.013662
+0.0118341
+0.0101353
+0.00858381
+0.00729852
+0.00639437
+0.00599274
+0.00602695
+0.0064202
+0.0066841
+0.00664586
+0.00697135
+0.00635579
+0.00591109
+0.00577622
+0.00614364
+0.00692977
+0.00635272
+0.00601708
+0.0062929
+0.00714117
+0.00846126
+0.010087
+0.0118953
+0.0138148
+0.015805
+0.0178262
+0.019878
+0.0219566
+0.0240552
+0.0261688
+0.0282942
+0.0304288
+0.0325709
+0.0332122
+0.0329858
+0.0328973
+0.0329546
+0.0331568
+0.0334959
+0.0339513
+0.0345398
+0.0692788
+0.0689301
+0.0686495
+0.068438
+0.0682961
+0.0682215
+0.0682063
+0.0682616
+0.0683869
+0.0685821
+0.0688465
+0.0691792
+0.0695794
+0.0700458
+0.0705772
+0.0711721
+0.0718289
+0.0725459
+0.0733214
+0.0741535
+0.0732012
+0.0715884
+0.0699835
+0.0684111
+0.0668735
+0.0653722
+0.0639096
+0.0624896
+0.0611151
+0.0597893
+0.0585156
+0.0572973
+0.056138
+0.0550416
+0.0540118
+0.0530526
+0.052158
+0.0513358
+0.0505951
+0.0499396
+0.0493727
+0.0488974
+0.0473426
+0.0452083
+0.0430795
+0.0409573
+0.0388427
+0.0367371
+0.0346419
+0.0325594
+0.030492
+0.028443
+0.0264059
+0.0243778
+0.0223804
+0.0204226
+0.0185171
+0.0166818
+0.0149031
+0.0132249
+0.0116729
+0.0103354
+0.00922614
+0.00852045
+0.00817974
+0.00821173
+0.00853985
+0.00869432
+0.00866943
+0.00903064
+0.00845755
+0.00808346
+0.00795445
+0.00823356
+0.0088556
+0.00844041
+0.00818212
+0.00840251
+0.00907912
+0.0101638
+0.0115524
+0.0131609
+0.0149184
+0.0167782
+0.0187098
+0.020693
+0.0227082
+0.024743
+0.0268025
+0.0288813
+0.0309755
+0.0330822
+0.0346848
+0.0344633
+0.0343787
+0.0344335
+0.0346271
+0.0349571
+0.0353954
+0.0359604
+0.07097
+0.0706296
+0.0703558
+0.0701494
+0.070011
+0.069941
+0.06993
+0.0699838
+0.0701062
+0.0702966
+0.0705545
+0.0708792
+0.0712699
+0.0717253
+0.0722443
+0.0728256
+0.0734676
+0.0741688
+0.0749274
+0.0751526
+0.0736818
+0.0720569
+0.0704627
+0.0689012
+0.0673748
+0.0658849
+0.0644339
+0.0630258
+0.0616632
+0.0603495
+0.0590878
+0.0578816
+0.0567343
+0.0556496
+0.0546313
+0.0536831
+0.0527992
+0.0519871
+0.0512558
+0.0506089
+0.0500496
+0.0495808
+0.0478352
+0.0457238
+0.0436202
+0.0415256
+0.0394415
+0.0373696
+0.035312
+0.0332715
+0.0312512
+0.0292385
+0.0272451
+0.0252844
+0.0233646
+0.0214967
+0.0196949
+0.0179506
+0.0163108
+0.0147658
+0.0133936
+0.0121847
+0.0112441
+0.0106571
+0.010368
+0.0103971
+0.0106812
+0.0107586
+0.0107585
+0.0110823
+0.0105717
+0.0102633
+0.0101361
+0.0103596
+0.0108821
+0.0105403
+0.0103491
+0.0105329
+0.0111114
+0.012019
+0.0132199
+0.0146464
+0.016244
+0.0179671
+0.0197829
+0.0216682
+0.0236062
+0.025585
+0.027595
+0.0296191
+0.0316646
+0.0337283
+0.0358071
+0.0360136
+0.0359326
+0.0359851
+0.0361703
+0.0364865
+0.0369132
+0.0374552
+0.0726856
+0.0723533
+0.0720861
+0.0718847
+0.0717496
+0.0716813
+0.0716791
+0.0717317
+0.071851
+0.0720368
+0.0722885
+0.0726055
+0.0729869
+0.0734317
+0.0739387
+0.0745068
+0.0751344
+0.0758202
+0.0765625
+0.0756993
+0.0742018
+0.0725886
+0.0710062
+0.069457
+0.067943
+0.0664659
+0.0650279
+0.0636329
+0.0622836
+0.0609833
+0.059735
+0.058542
+0.057408
+0.0563363
+0.0553306
+0.0543946
+0.0535225
+0.0527215
+0.0520006
+0.051363
+0.050812
+0.0503503
+0.0484219
+0.0463372
+0.0442628
+0.0422002
+0.0401511
+0.0381178
+0.0361028
+0.0341096
+0.0321201
+0.0301581
+0.0282297
+0.0263424
+0.0245056
+0.0227231
+0.020999
+0.0193696
+0.0178605
+0.0164548
+0.0151925
+0.014123
+0.0133168
+0.0127978
+0.0125568
+0.012584
+0.0128247
+0.0128647
+0.0128677
+0.0131643
+0.0127118
+0.012447
+0.0123205
+0.0125079
+0.0129497
+0.0126667
+0.0125092
+0.0126786
+0.0131893
+0.0139625
+0.0150181
+0.0162918
+0.0177419
+0.0193319
+0.0210302
+0.0228126
+0.0246609
+0.0265613
+0.0285033
+0.0304791
+0.0324825
+0.0345016
+0.0365364
+0.0376276
+0.0375501
+0.0376003
+0.0377777
+0.0380804
+0.0384958
+0.0390158
+0.0744263
+0.0741018
+0.0738409
+0.0736443
+0.0735124
+0.0734457
+0.0734443
+0.0735033
+0.0736197
+0.0738011
+0.0740468
+0.0743563
+0.0747287
+0.0751632
+0.0756587
+0.0762139
+0.0768276
+0.0774983
+0.0777733
+0.0763049
+0.0747824
+0.0731819
+0.0716127
+0.0700769
+0.0685766
+0.0671134
+0.0656896
+0.0643089
+0.0629742
+0.0616884
+0.0604546
+0.0592762
+0.0581564
+0.0570988
+0.0561068
+0.0551839
+0.0543225
+0.0535334
+0.0528234
+0.0521957
+0.0516534
+0.0511653
+0.0490994
+0.0470448
+0.045003
+0.0429759
+0.0409656
+0.0389741
+0.0369954
+0.0350387
+0.0331047
+0.0312046
+0.0293451
+0.0275344
+0.0257657
+0.0240602
+0.0224391
+0.0209221
+0.0195276
+0.0182306
+0.0170779
+0.0161234
+0.0154221
+0.014953
+0.0147459
+0.014772
+0.0149819
+0.0149951
+0.0149952
+0.0152595
+0.0148666
+0.0146266
+0.0145067
+0.0146688
+0.0150287
+0.0148118
+0.0146785
+0.0148348
+0.015275
+0.0159699
+0.0169006
+0.0180505
+0.0193721
+0.0208381
+0.0224226
+0.0241023
+0.0258585
+0.0276768
+0.0295456
+0.0314561
+0.0334009
+0.0353745
+0.0373723
+0.0392975
+0.0392233
+0.0392713
+0.0394412
+0.0397313
+0.0401356
+0.0406347
+0.0761901
+0.0758732
+0.0756184
+0.0754264
+0.0752977
+0.0752326
+0.0752312
+0.0752936
+0.0754106
+0.0755876
+0.0758276
+0.0761298
+0.0764936
+0.0769182
+0.0774024
+0.0779452
+0.0785453
+0.0792016
+0.0784241
+0.0769682
+0.0754221
+0.0738355
+0.0722805
+0.0707592
+0.0692737
+0.0678255
+0.066417
+0.0650517
+0.0637326
+0.0624624
+0.0612442
+0.0600813
+0.0589768
+0.0579341
+0.0569565
+0.056035
+0.0551834
+0.0544068
+0.0537083
+0.0530911
+0.052558
+0.0518995
+0.0498641
+0.0478423
+0.045836
+0.0438453
+0.0418671
+0.039911
+0.0379806
+0.0360767
+0.0342014
+0.0323658
+0.030574
+0.0288201
+0.0271298
+0.0255156
+0.0239931
+0.0225807
+0.021286
+0.0200698
+0.0190207
+0.0181677
+0.0175483
+0.0171172
+0.0169353
+0.0169608
+0.0171476
+0.0171407
+0.0171386
+0.0173783
+0.0170306
+0.0167984
+0.0166942
+0.0168373
+0.0171357
+0.0169684
+0.0168532
+0.0169999
+0.0173854
+0.01802
+0.0188497
+0.0198872
+0.0211019
+0.0224573
+0.0239349
+0.0255152
+0.0271803
+0.0289155
+0.0307091
+0.0325513
+0.0344343
+0.0363519
+0.0382987
+0.0402706
+0.0409453
+0.0409914
+0.0411541
+0.0414322
+0.0418169
+0.0422961
+0.0779756
+0.077666
+0.0774171
+0.0772296
+0.0771039
+0.0770403
+0.077039
+0.0770999
+0.077222
+0.0773949
+0.0776293
+0.0779246
+0.07828
+0.0786949
+0.0791683
+0.079699
+0.0802861
+0.0806067
+0.0791303
+0.0776875
+0.0761196
+0.0745478
+0.073008
+0.0715021
+0.0700324
+0.0686003
+0.067208
+0.0658591
+0.0645564
+0.0633028
+0.0621011
+0.0609545
+0.0598661
+0.0588384
+0.0578628
+0.0569543
+0.0561166
+0.0553531
+0.0546667
+0.0540604
+0.053537
+0.0527146
+0.0507119
+0.0487215
+0.0467443
+0.0447869
+0.0428522
+0.0409432
+0.0390639
+0.0372148
+0.0353999
+0.0336198
+0.0318829
+0.0302051
+0.0285968
+0.0270702
+0.0256402
+0.0243218
+0.0230897
+0.0219728
+0.0210116
+0.0202427
+0.019688
+0.0192873
+0.0191247
+0.0191499
+0.0193189
+0.0192965
+0.0192926
+0.0195118
+0.0192006
+0.0189746
+0.0188823
+0.0189964
+0.0192613
+0.0191327
+0.0190316
+0.0191708
+0.0195134
+0.0200904
+0.0208469
+0.0217895
+0.0229035
+0.0241652
+0.0255456
+0.0270319
+0.0286089
+0.0302623
+0.0319804
+0.0337533
+0.0355728
+0.037432
+0.0393255
+0.0412483
+0.0427093
+0.0427534
+0.0429095
+0.0431763
+0.0435352
+0.0439957
+0.0797813
+0.0794787
+0.0792355
+0.0790523
+0.0789295
+0.0788674
+0.0788661
+0.0789256
+0.0790459
+0.0792161
+0.079445
+0.0797336
+0.080081
+0.0804866
+0.0809495
+0.0814687
+0.0820431
+0.0813529
+0.0798902
+0.0784595
+0.0768731
+0.0753171
+0.0737933
+0.0723038
+0.0708507
+0.0694355
+0.0680603
+0.0667286
+0.0654433
+0.0642069
+0.0630225
+0.061893
+0.0608193
+0.0597953
+0.0588351
+0.0579418
+0.0571187
+0.0563687
+0.0556948
+0.0550999
+0.0545864
+0.0536018
+0.0516255
+0.0496673
+0.0477293
+0.0458141
+0.0439246
+0.0420643
+0.0402373
+0.0384437
+0.0366744
+0.034952
+0.0332847
+0.0316812
+0.0301517
+0.028708
+0.0273632
+0.0261279
+0.0249553
+0.0239187
+0.0230388
+0.0223398
+0.0218225
+0.0214617
+0.0213143
+0.0213394
+0.0214941
+0.0214593
+0.0214541
+0.0216526
+0.0213726
+0.0211538
+0.021071
+0.0211619
+0.0214
+0.0213022
+0.0212126
+0.0213421
+0.021654
+0.0221753
+0.0228795
+0.0237415
+0.0247679
+0.0259391
+0.0272364
+0.0286361
+0.0301292
+0.0317035
+0.0333474
+0.0350512
+0.0368066
+0.0386064
+0.0404449
+0.0423169
+0.0442182
+0.0445422
+0.044692
+0.0449482
+0.0452943
+0.0457371
+0.0816059
+0.0813101
+0.0810724
+0.0808933
+0.0807733
+0.0807126
+0.0807114
+0.0807695
+0.080887
+0.0810543
+0.0812781
+0.0815602
+0.0818999
+0.0822965
+0.0827492
+0.0832572
+0.0836313
+0.0821507
+0.0807026
+0.0792514
+0.0776812
+0.0761417
+0.0746347
+0.0731624
+0.0717267
+0.070329
+0.0689716
+0.067658
+0.0663906
+0.0651722
+0.0640057
+0.06289
+0.0618227
+0.0608156
+0.0598718
+0.0589943
+0.058186
+0.05745
+0.0567889
+0.0562055
+0.0557023
+0.054551
+0.0526104
+0.0506902
+0.0487929
+0.0469211
+0.045078
+0.0432674
+0.0414909
+0.0397357
+0.0380258
+0.0363675
+0.0347681
+0.0332362
+0.0317817
+0.0304154
+0.0291462
+0.0279625
+0.0268686
+0.0259037
+0.0250935
+0.0244533
+0.0239671
+0.0236391
+0.0235039
+0.0235292
+0.0236722
+0.0236272
+0.023621
+0.0238014
+0.0235454
+0.0233351
+0.0232601
+0.0233321
+0.0235483
+0.0234757
+0.0233953
+0.0235129
+0.0238036
+0.0242789
+0.0249382
+0.025732
+0.026682
+0.0277725
+0.0289879
+0.0303131
+0.031728
+0.0332266
+0.0347987
+0.0364347
+0.0381264
+0.0398667
+0.0416496
+0.0434698
+0.0453227
+0.0463653
+0.0465092
+0.0467555
+0.0470896
+0.0475157
+0.0834481
+0.0831588
+0.0829264
+0.0827514
+0.0826341
+0.0825747
+0.0825735
+0.0826304
+0.0827452
+0.0829097
+0.0831285
+0.0834043
+0.0837365
+0.0841245
+0.0845674
+0.0850645
+0.0844644
+0.0829988
+0.0815656
+0.0800899
+0.0785365
+0.0770141
+0.0755246
+0.0740699
+0.0726521
+0.0712735
+0.0699364
+0.0686431
+0.0673958
+0.0661959
+0.0650425
+0.063936
+0.0628865
+0.0618967
+0.0609696
+0.0601081
+0.059315
+0.0585932
+0.0579452
+0.0573736
+0.0568806
+0.0555703
+0.0536666
+0.0517857
+0.0499299
+0.0481024
+0.0463064
+0.0445444
+0.0428023
+0.0411032
+0.0394526
+0.0378568
+0.0363231
+0.0348596
+0.0334756
+0.032179
+0.0309815
+0.0298452
+0.0288169
+0.0279195
+0.0271695
+0.0265793
+0.0261194
+0.0258187
+0.0256936
+0.025719
+0.0258524
+0.025799
+0.0257918
+0.0259571
+0.0257209
+0.025518
+0.0254495
+0.0255059
+0.0257038
+0.0256519
+0.0255795
+0.025687
+0.0259602
+0.0263966
+0.0270043
+0.0277527
+0.0286357
+0.0296545
+0.0307957
+0.0320462
+0.0333937
+0.034821
+0.0363241
+0.0378943
+0.0395236
+0.041205
+0.0429323
+0.0447003
+0.0465042
+0.0482189
+0.0483574
+0.0485943
+0.0489172
+0.0493275
+0.0853067
+0.0850238
+0.0847965
+0.0846253
+0.0845106
+0.0844526
+0.0844514
+0.084507
+0.0846193
+0.084781
+0.084995
+0.0852648
+0.0855898
+0.0859694
+0.0864029
+0.086827
+0.0853457
+0.0838954
+0.0824779
+0.080973
+0.0794369
+0.0779321
+0.0764604
+0.0750239
+0.0736245
+0.0722644
+0.0709459
+0.0696714
+0.0684433
+0.0672641
+0.066127
+0.0650391
+0.0640076
+0.0630354
+0.0621253
+0.0612801
+0.0605024
+0.0597948
+0.05916
+0.0586002
+0.0581177
+0.0566561
+0.0547902
+0.0529491
+0.0511356
+0.0493527
+0.0476037
+0.0458732
+0.0441835
+0.0425396
+0.0409469
+0.0394117
+0.0379409
+0.0365423
+0.0352233
+0.0339918
+0.032843
+0.0317651
+0.0307979
+0.0299599
+0.0292622
+0.0287151
+0.0282775
+0.028
+0.0278835
+0.027909
+0.0280343
+0.0279738
+0.0279658
+0.0281183
+0.0278989
+0.0277022
+0.027639
+0.0276823
+0.0278647
+0.0278305
+0.0277646
+0.0278637
+0.028122
+0.0285254
+0.0290886
+0.0297974
+0.0306215
+0.0315763
+0.0326504
+0.0338324
+0.0351114
+0.0364773
+0.0379149
+0.0394218
+0.0409904
+0.0426139
+0.0442863
+0.0460023
+0.0477571
+0.0495466
+0.0502331
+0.0504612
+0.0507729
+0.0511689
+0.0871808
+0.086904
+0.0866816
+0.0865142
+0.086402
+0.0863452
+0.0863441
+0.0863984
+0.0865083
+0.0866674
+0.0868767
+0.0871406
+0.0874587
+0.0878302
+0.0882546
+0.0877392
+0.0862736
+0.0848392
+0.0834377
+0.0819052
+0.0803868
+0.0789002
+0.0774469
+0.076029
+0.0746485
+0.0733074
+0.072008
+0.0707526
+0.0695436
+0.0683834
+0.0672655
+0.0661962
+0.0651831
+0.0642287
+0.0633358
+0.0625069
+0.0617446
+0.0610515
+0.0604298
+0.059882
+0.0594098
+0.0578046
+0.0559769
+0.0541762
+0.0524052
+0.050667
+0.0489472
+0.0472659
+0.0456278
+0.0440378
+0.0425013
+0.0410242
+0.0396132
+0.0382756
+0.0370166
+0.0358468
+0.0347375
+0.0337152
+0.0328055
+0.0320201
+0.0313683
+0.0308518
+0.0304404
+0.0301828
+0.0300735
+0.0300991
+0.0302174
+0.0301508
+0.0301422
+0.0302838
+0.0300786
+0.0298873
+0.0298288
+0.0298608
+0.03003
+0.0300108
+0.0299506
+0.0300425
+0.030288
+0.0306629
+0.0311875
+0.0318545
+0.0326335
+0.0335311
+0.0345445
+0.0356637
+0.0368793
+0.038182
+0.039563
+0.0410094
+0.0425195
+0.0440867
+0.0457053
+0.0473699
+0.0490758
+0.0508189
+0.0521334
+0.0523532
+0.0526537
+0.0530369
+0.0890693
+0.0887984
+0.0885808
+0.0884169
+0.0883072
+0.0882516
+0.0882505
+0.0883037
+0.0884112
+0.0885677
+0.0887726
+0.0890309
+0.0893422
+0.0897059
+0.0901214
+0.0886962
+0.0872467
+0.0858285
+0.084415
+0.0828848
+0.0813847
+0.0799166
+0.0784822
+0.0770833
+0.075722
+0.0744003
+0.0731203
+0.0718844
+0.0706947
+0.0695537
+0.0684551
+0.0674047
+0.06641
+0.0654735
+0.0645978
+0.0637853
+0.0630385
+0.0623598
+0.0617513
+0.0612153
+0.0607535
+0.059012
+0.0572229
+0.0554627
+0.0537341
+0.0520233
+0.0503493
+0.0487164
+0.0471287
+0.045591
+0.0441085
+0.0426871
+0.0413329
+0.0400521
+0.0388507
+0.0377281
+0.0366622
+0.0356932
+0.0348352
+0.0340966
+0.0334852
+0.0329913
+0.0326069
+0.0323665
+0.0322636
+0.0322893
+0.0324015
+0.0323297
+0.0323205
+0.032447
+0.0322599
+0.0320731
+0.0320186
+0.0320409
+0.0321987
+0.0321924
+0.0321372
+0.0322228
+0.0324565
+0.0328074
+0.0332982
+0.0339238
+0.0346672
+0.0355134
+0.0364718
+0.0375336
+0.0386905
+0.0399341
+0.0412567
+0.0426504
+0.0441044
+0.0456172
+0.0471833
+0.0487975
+0.0504551
+0.0521522
+0.0538848
+0.0542677
+0.0545576
+0.0549193
+0.0909714
+0.0907061
+0.0904931
+0.0903328
+0.0902253
+0.090171
+0.0901698
+0.0902219
+0.0903271
+0.0904812
+0.0906817
+0.0909346
+0.0912394
+0.0915956
+0.0911597
+0.0896965
+0.0882634
+0.0868618
+0.085422
+0.0839101
+0.0824287
+0.0809796
+0.0795643
+0.0781848
+0.076843
+0.0755409
+0.0742806
+0.0730643
+0.0718941
+0.0707725
+0.0696933
+0.0686619
+0.0676857
+0.0667671
+0.0659085
+0.0651124
+0.064381
+0.0637165
+0.0631212
+0.0625968
+0.0620533
+0.0602749
+0.0585245
+0.0568042
+0.0551012
+0.0534339
+0.0518055
+0.0502199
+0.0486813
+0.0471942
+0.0457637
+0.0443952
+0.0430947
+0.0418679
+0.0407201
+0.0396313
+0.0386136
+0.0376948
+0.0368834
+0.0361865
+0.035611
+0.0351371
+0.0347765
+0.0345512
+0.0344538
+0.0344787
+0.0345865
+0.0345064
+0.0345004
+0.0346114
+0.0344423
+0.0342596
+0.0342086
+0.0342224
+0.0343702
+0.0343753
+0.0343243
+0.0344045
+0.0346234
+0.0349576
+0.0354187
+0.0360074
+0.0367176
+0.037519
+0.0384273
+0.0394365
+0.0405391
+0.0417277
+0.0429951
+0.0443346
+0.0457393
+0.0471998
+0.048715
+0.05028
+0.0518904
+0.0535419
+0.055231
+0.0561824
+0.056455
+0.0568109
+0.0928862
+0.0926264
+0.0924178
+0.0922608
+0.0921556
+0.0921024
+0.0921013
+0.0921523
+0.0922553
+0.0924069
+0.0926033
+0.092851
+0.0931495
+0.0934984
+0.0921854
+0.0907386
+0.0893222
+0.0879376
+0.0864728
+0.0849796
+0.0835172
+0.0820872
+0.0806914
+0.0793315
+0.0780094
+0.0767271
+0.0754866
+0.0742901
+0.0731395
+0.0720372
+0.0709775
+0.069965
+0.0690073
+0.0681065
+0.0672651
+0.0664852
+0.065769
+0.0651187
+0.0645363
+0.0640236
+0.0633314
+0.0615899
+0.0598767
+0.0581813
+0.0565199
+0.0548956
+0.0533119
+0.0517725
+0.0502814
+0.048843
+0.0474622
+0.0461442
+0.0448944
+0.043718
+0.0426164
+0.0415597
+0.0405894
+0.0397163
+0.038947
+0.0382877
+0.0377443
+0.0372882
+0.0369485
+0.0367366
+0.036644
+0.0366675
+0.036772
+0.0366827
+0.0366772
+0.0367788
+0.0366258
+0.0364466
+0.0363976
+0.036405
+0.0365439
+0.0365591
+0.0365119
+0.0365873
+0.0367932
+0.0371126
+0.0375472
+0.038103
+0.0387748
+0.0395441
+0.040407
+0.0413679
+0.0424204
+0.0435576
+0.0447733
+0.0460611
+0.0474152
+0.0488293
+0.0502955
+0.0518128
+0.0533769
+0.0549839
+0.05663
+0.0580931
+0.0583568
+0.0587012
+0.0890813
+0.087579
+0.0861061
+0.0846644
+0.0832476
+0.0818615
+0.080511
+0.0791982
+0.0778677
+0.0764643
+0.0750793
+0.0737333
+0.0724285
+0.071152
+0.0698813
+0.0685914
+0.0673154
+0.0660874
+0.0649102
+0.0637864
+0.0627191
+0.0616135
+0.0605355
+0.0595059
+0.05853
+0.0576209
+0.056764
+0.0557857
+0.0548229
+0.0539289
+0.0531028
+0.0523515
+0.0516674
+0.0509934
+0.0503603
+0.0496373
+0.0486753
+0.0477543
+0.0469177
+0.0461695
+0.0454946
+0.0449164
+0.0444388
+0.0440651
+0.0437695
+0.0435468
+0.0434335
+0.0434108
+0.0434969
+0.0436929
+0.0439972
+0.0443692
+0.0448212
+0.0453746
+0.0460257
+0.0467704
+0.0476044
+0.048523
+0.0495216
+0.050583
+0.0508131
+0.0501187
+0.0494811
+0.0488968
+0.048396
+0.0479902
+0.0476269
+0.047351
+0.0471632
+0.0469793
+0.046598
+0.0463172
+0.0460582
+0.0457404
+0.045526
+0.0454163
+0.0453959
+0.045477
+0.0456632
+0.0459532
+0.046345
+0.0468361
+0.0474235
+0.0481035
+0.0488723
+0.0497258
+0.0506598
+0.0516665
+0.0527402
+0.0538817
+0.0550515
+0.0557777
+0.0565794
+0.0574535
+0.0583968
+0.0594059
+0.0604775
+0.0616085
+0.0627955
+0.0640354
+0.0875117
+0.0860351
+0.0845353
+0.0830663
+0.0816296
+0.0802167
+0.0788381
+0.077497
+0.0761952
+0.0748525
+0.073437
+0.0720603
+0.0707247
+0.0694326
+0.068162
+0.066888
+0.065592
+0.0643311
+0.0631211
+0.061965
+0.0608657
+0.0598035
+0.0586923
+0.0576427
+0.0566347
+0.0556947
+0.0548261
+0.0539131
+0.0529162
+0.0519925
+0.051137
+0.0503592
+0.0496597
+0.0489729
+0.0483316
+0.0477366
+0.0467541
+0.0457972
+0.0449241
+0.0441426
+0.0434409
+0.042835
+0.042334
+0.0419415
+0.041634
+0.0413998
+0.0412807
+0.0412573
+0.041348
+0.0415541
+0.0418707
+0.0422494
+0.0427239
+0.043304
+0.0439858
+0.0447645
+0.0456351
+0.0465926
+0.047626
+0.0487252
+0.0487566
+0.0480354
+0.04738
+0.0467794
+0.0462557
+0.0458309
+0.0454606
+0.045174
+0.0449771
+0.0448863
+0.0445744
+0.0442808
+0.04393
+0.0435967
+0.0433717
+0.0432565
+0.0432355
+0.0433207
+0.0435161
+0.0438203
+0.044231
+0.0447454
+0.0453598
+0.0460703
+0.0468725
+0.0477617
+0.0487333
+0.0497745
+0.0508882
+0.0520703
+0.0531031
+0.0538556
+0.0546855
+0.0555894
+0.0565637
+0.057605
+0.0587095
+0.0598738
+0.0610945
+0.0623683
+0.0859243
+0.0844867
+0.0829927
+0.0814958
+0.080031
+0.0785986
+0.0771912
+0.0758209
+0.0744898
+0.0732001
+0.071824
+0.0704158
+0.0690484
+0.0677243
+0.0664456
+0.0651763
+0.0638972
+0.0626022
+0.0613581
+0.0601681
+0.0590354
+0.0579634
+0.0568736
+0.0557901
+0.0547615
+0.0537887
+0.0528889
+0.052024
+0.0510324
+0.0500739
+0.0491902
+0.0483824
+0.0476545
+0.0469677
+0.0463177
+0.0457089
+0.0448383
+0.0438622
+0.0429498
+0.0421316
+0.0414013
+0.0407651
+0.0402383
+0.0398252
+0.0395045
+0.0392576
+0.039132
+0.039108
+0.0392037
+0.039421
+0.0397464
+0.0401372
+0.0406363
+0.0412459
+0.0419611
+0.0427766
+0.0436869
+0.0446861
+0.045753
+0.0468961
+0.0467106
+0.045962
+0.0452873
+0.0446691
+0.0441204
+0.0436748
+0.0432968
+0.0429983
+0.0427914
+0.042696
+0.0425673
+0.0422598
+0.0418082
+0.0414579
+0.0412212
+0.0411
+0.0410784
+0.041168
+0.0413736
+0.0416934
+0.0421249
+0.0426646
+0.0433086
+0.0440521
+0.0448904
+0.0458182
+0.046826
+0.047908
+0.0490641
+0.050289
+0.0511744
+0.0519547
+0.0528145
+0.0537499
+0.054757
+0.0558319
+0.0569708
+0.05817
+0.0594257
+0.0607345
+0.084364
+0.0828993
+0.0814672
+0.0799545
+0.0784609
+0.0770007
+0.0755718
+0.0741716
+0.0728104
+0.0714904
+0.0702056
+0.0688017
+0.0674016
+0.0660445
+0.0647331
+0.0634608
+0.062188
+0.060903
+0.0596235
+0.0583981
+0.0572304
+0.0561239
+0.0550821
+0.0539626
+0.0529101
+0.0519053
+0.0509722
+0.0501175
+0.0491739
+0.0481786
+0.0472638
+0.0464235
+0.0456643
+0.0449799
+0.0443073
+0.0436839
+0.0429487
+0.0419524
+0.0409975
+0.0401395
+0.0393779
+0.0387085
+0.0381533
+0.0377174
+0.0373822
+0.0371211
+0.0369882
+0.03696
+0.0370612
+0.037291
+0.037628
+0.0380339
+0.0385602
+0.0392021
+0.0399539
+0.0408096
+0.0417628
+0.0427988
+0.0439095
+0.0450993
+0.0446784
+0.0439
+0.0432044
+0.0425669
+0.0419908
+0.0415223
+0.0411357
+0.0408239
+0.0406063
+0.0405058
+0.0405148
+0.0401793
+0.0396939
+0.0393248
+0.0390751
+0.0389473
+0.038925
+0.0390196
+0.0392364
+0.0395735
+0.0400278
+0.0405955
+0.0412717
+0.0420513
+0.0429287
+0.0438978
+0.0449438
+0.0460701
+0.0472711
+0.0485413
+0.0492675
+0.0500776
+0.0509691
+0.0519377
+0.0529792
+0.0540895
+0.0552643
+0.0564997
+0.0577917
+0.0591367
+0.0828322
+0.0813399
+0.0798799
+0.0784441
+0.0769212
+0.0754311
+0.073976
+0.072551
+0.0711588
+0.0698076
+0.0684998
+0.067215
+0.0657865
+0.0643954
+0.0630497
+0.0617524
+0.0604873
+0.0592111
+0.0579198
+0.0566576
+0.0554532
+0.0543106
+0.0532336
+0.052163
+0.0510735
+0.0500468
+0.0490784
+0.0481902
+0.0473146
+0.0463093
+0.0453569
+0.0444861
+0.0436934
+0.042997
+0.0423078
+0.0416757
+0.0410881
+0.0400486
+0.0390704
+0.0381692
+0.0373734
+0.0366675
+0.0360809
+0.0356195
+0.0352681
+0.0349913
+0.0348468
+0.0348165
+0.0349239
+0.0351677
+0.0355112
+0.035941
+0.0364976
+0.037175
+0.037967
+0.0388665
+0.0398657
+0.0409394
+0.0420992
+0.0433387
+0.0426619
+0.0418467
+0.0411221
+0.0404636
+0.0398677
+0.039374
+0.038978
+0.0386496
+0.0384218
+0.0383156
+0.0383242
+0.0381006
+0.0375884
+0.0371983
+0.0369344
+0.0367991
+0.036776
+0.0368761
+0.0371055
+0.0374617
+0.0379414
+0.0385397
+0.0392514
+0.0400703
+0.0409901
+0.0419989
+0.0430908
+0.0442643
+0.045513
+0.0466312
+0.0473851
+0.0482269
+0.0491519
+0.0501557
+0.0512334
+0.0523807
+0.053593
+0.054866
+0.0561957
+0.0575779
+0.0812659
+0.0798102
+0.0783217
+0.0768668
+0.0754137
+0.0738932
+0.0724071
+0.0709576
+0.0695369
+0.0681536
+0.0668134
+0.0655191
+0.0642056
+0.0627794
+0.0613983
+0.0600653
+0.0587838
+0.0575212
+0.0562472
+0.0549493
+0.0537066
+0.052526
+0.0514116
+0.0503679
+0.0492659
+0.0482063
+0.0472103
+0.0462863
+0.0454259
+0.0444687
+0.0434766
+0.0425733
+0.0417443
+0.0410149
+0.0403282
+0.0396868
+0.0390975
+0.0381744
+0.0371723
+0.0362242
+0.0353861
+0.0346447
+0.0340232
+0.0335336
+0.0331641
+0.0328695
+0.0327116
+0.0326794
+0.0327938
+0.0330514
+0.0334039
+0.0338605
+0.0344507
+0.0351676
+0.0360038
+0.036951
+0.0379899
+0.0391144
+0.0403266
+0.0416174
+0.0406634
+0.0398073
+0.0390504
+0.038369
+0.0377525
+0.0372307
+0.0368242
+0.0364764
+0.0362381
+0.0361254
+0.0361335
+0.0360351
+0.0354932
+0.0350798
+0.0347998
+0.0346562
+0.0346323
+0.0347385
+0.0349819
+0.0353596
+0.0358673
+0.0364997
+0.0372504
+0.0381123
+0.0390777
+0.0401295
+0.0412709
+0.0424947
+0.0437938
+0.0447452
+0.0455304
+0.0464058
+0.0473664
+0.0484072
+0.049523
+0.050709
+0.0519604
+0.0532724
+0.0546408
+0.0560518
+0.0797145
+0.0782532
+0.0767944
+0.0753099
+0.0738607
+0.072389
+0.0708713
+0.0693897
+0.0679461
+0.0665306
+0.0651571
+0.0638292
+0.0625499
+0.0611992
+0.0597816
+0.0584118
+0.0570931
+0.0558275
+0.0545535
+0.0532762
+0.0519936
+0.0507732
+0.0496194
+0.0485372
+0.0474905
+0.0463899
+0.0453626
+0.0444088
+0.0435355
+0.0426356
+0.0416267
+0.0406827
+0.0398203
+0.039055
+0.0383716
+0.0377084
+0.0370997
+0.0363356
+0.0352814
+0.0343088
+0.0334228
+0.0326435
+0.0319832
+0.0314619
+0.0310707
+0.0307561
+0.0305843
+0.0305498
+0.0306721
+0.0309422
+0.0313081
+0.0317948
+0.0324226
+0.0331834
+0.0340683
+0.0350659
+0.0361487
+0.0373287
+0.0385971
+0.0396873
+0.0386858
+0.0377848
+0.0369918
+0.0362857
+0.0356463
+0.0350932
+0.03467
+0.0343054
+0.0340553
+0.0339353
+0.0339429
+0.0339854
+0.0334102
+0.0329708
+0.0326726
+0.0325197
+0.0324947
+0.032608
+0.0328671
+0.0332688
+0.033808
+0.0344782
+0.0352719
+0.036181
+0.0371906
+0.0382942
+0.0394887
+0.040766
+0.0421185
+0.0428882
+0.0437068
+0.044618
+0.0456162
+0.046696
+0.0478518
+0.0490782
+0.0503701
+0.0517225
+0.0531219
+0.0545661
+0.0781758
+0.0767034
+0.0752474
+0.0737853
+0.0723055
+0.0708625
+0.0693707
+0.0678563
+0.0663797
+0.064941
+0.0635332
+0.0621706
+0.0608564
+0.0595938
+0.0582025
+0.0567945
+0.0554374
+0.054135
+0.0528786
+0.0515978
+0.0503177
+0.0490556
+0.0478605
+0.0467375
+0.0456921
+0.0446071
+0.0435379
+0.0425546
+0.0416493
+0.0407658
+0.0398014
+0.0388233
+0.0379253
+0.0371209
+0.0364307
+0.0357427
+0.035125
+0.0345286
+0.033427
+0.0324263
+0.0314894
+0.0306684
+0.0299645
+0.0294075
+0.0289885
+0.0286511
+0.0284666
+0.0284295
+0.0285609
+0.028845
+0.0292262
+0.029747
+0.0304171
+0.0312268
+0.0321655
+0.0332071
+0.0343485
+0.0355883
+0.0369165
+0.0377856
+0.0367323
+0.0357822
+0.0349438
+0.0342148
+0.0335509
+0.0329627
+0.0325118
+0.0321371
+0.0318735
+0.0317453
+0.0317522
+0.0318383
+0.0313419
+0.0308731
+0.0305545
+0.0303908
+0.0303648
+0.030486
+0.030763
+0.0311918
+0.0317662
+0.0324786
+0.03332
+0.0342796
+0.0353384
+0.0364982
+0.0377495
+0.0390837
+0.040311
+0.0410641
+0.0419183
+0.0428675
+0.0439056
+0.0450265
+0.046224
+0.0474924
+0.0488263
+0.0502123
+0.0516448
+0.0531291
+0.076654
+0.0751681
+0.0736995
+0.0722494
+0.0707839
+0.0693093
+0.0678733
+0.0663598
+0.0648491
+0.0633781
+0.0619441
+0.0605458
+0.0591956
+0.0578968
+0.0566529
+0.0552169
+0.05382
+0.0524775
+0.0511935
+0.0499304
+0.048655
+0.047377
+0.0461385
+0.0449726
+0.0438851
+0.0428622
+0.0417483
+0.0407218
+0.0397896
+0.0389285
+0.0380074
+0.0369961
+0.0360638
+0.0352169
+0.0344886
+0.0338046
+0.0331773
+0.0326175
+0.0316157
+0.0305557
+0.0295852
+0.0287205
+0.0279718
+0.0273741
+0.0269236
+0.02656
+0.0263608
+0.0263208
+0.0264627
+0.0267628
+0.0271615
+0.0277211
+0.0284389
+0.0293033
+0.0302907
+0.0313911
+0.0325962
+0.0339001
+0.0352919
+0.0359169
+0.0348071
+0.0338029
+0.0329141
+0.0321457
+0.0314547
+0.0308407
+0.0303583
+0.029972
+0.0296931
+0.0295554
+0.0295616
+0.029654
+0.0292913
+0.0287891
+0.0284472
+0.0282714
+0.0282442
+0.0283744
+0.0286718
+0.0291315
+0.0297457
+0.0305053
+0.0313996
+0.0324092
+0.0335272
+0.0347474
+0.0360595
+0.0374539
+0.0384894
+0.0392775
+0.0401697
+0.0411593
+0.0422394
+0.0434033
+0.0446444
+0.0459564
+0.0473265
+0.0487454
+0.0502198
+0.051745
+0.0751619
+0.0736497
+0.0721682
+0.0707038
+0.0692602
+0.0677913
+0.0663224
+0.0648844
+0.0633573
+0.0618509
+0.0603863
+0.0589577
+0.0575702
+0.0562338
+0.0549524
+0.0536682
+0.0522414
+0.0508603
+0.0495344
+0.0482715
+0.0469853
+0.0457327
+0.0444561
+0.0432449
+0.0421129
+0.0410666
+0.0399986
+0.038926
+0.0379497
+0.037066
+0.0361686
+0.0351955
+0.0342383
+0.0333482
+0.0325781
+0.0318992
+0.0312522
+0.0306672
+0.0298553
+0.0287304
+0.0277201
+0.0267953
+0.0260108
+0.025367
+0.0248802
+0.0244862
+0.0242701
+0.0242266
+0.0243806
+0.0246941
+0.025118
+0.0257222
+0.0264928
+0.0274052
+0.0284573
+0.0296259
+0.0308998
+0.0322724
+0.0337314
+0.0340634
+0.032915
+0.0318513
+0.0309064
+0.0300916
+0.0293712
+0.0287289
+0.0282104
+0.027811
+0.0275142
+0.0273657
+0.0273709
+0.0274707
+0.0272567
+0.0267163
+0.0263475
+0.0261576
+0.0261351
+0.0262758
+0.0265967
+0.0270915
+0.027751
+0.0285636
+0.0295145
+0.0305814
+0.0317637
+0.0330491
+0.0344261
+0.035884
+0.0367082
+0.0375337
+0.0384664
+0.0394987
+0.0406229
+0.0418318
+0.0431182
+0.0444693
+0.045872
+0.0473345
+0.0488515
+0.0504181
+0.0737048
+0.072162
+0.0706534
+0.0691768
+0.0677172
+0.0662811
+0.0648085
+0.0633462
+0.0618895
+0.0603645
+0.058863
+0.0574058
+0.0559833
+0.0546082
+0.0532876
+0.0520258
+0.0506931
+0.0492776
+0.047918
+0.0466114
+0.0453599
+0.0440611
+0.0428196
+0.0415607
+0.0403815
+0.0392891
+0.0382826
+0.0371727
+0.036149
+0.0352203
+0.0343485
+0.0334415
+0.0324358
+0.0315199
+0.030704
+0.030026
+0.0293446
+0.0287514
+0.0281378
+0.0269597
+0.0258944
+0.0249139
+0.0240808
+0.0233929
+0.022864
+0.0224347
+0.0221986
+0.022151
+0.022319
+0.0226399
+0.0231016
+0.0237525
+0.0245715
+0.0255526
+0.0266778
+0.027921
+0.0292692
+0.0307147
+0.0322443
+0.0322375
+0.0310623
+0.0299328
+0.0289253
+0.028053
+0.0273031
+0.0266299
+0.0260697
+0.0256549
+0.0253375
+0.025176
+0.0251803
+0.0252852
+0.0252466
+0.0246622
+0.0242622
+0.0240558
+0.0240407
+0.0241935
+0.0245417
+0.0250771
+0.0257881
+0.0266606
+0.0276689
+0.0288042
+0.0300565
+0.0314119
+0.0328575
+0.0342267
+0.0349736
+0.035839
+0.0368147
+0.037892
+0.0390625
+0.0403182
+0.0416466
+0.0430297
+0.0444778
+0.0459847
+0.0475448
+0.0491531
+0.0722846
+0.0707108
+0.0691706
+0.0676663
+0.0661953
+0.0647412
+0.0633133
+0.0618371
+0.0603788
+0.0589053
+0.0573829
+0.0558871
+0.0544377
+0.0530232
+0.0516621
+0.0503596
+0.0491203
+0.0477337
+0.0463313
+0.0449919
+0.0437125
+0.0424369
+0.0411625
+0.0399256
+0.0386966
+0.0375553
+0.0365098
+0.0354679
+0.0343936
+0.0334164
+0.0325427
+0.0316573
+0.0306804
+0.0297348
+0.0288685
+0.0281464
+0.0274793
+0.0268777
+0.0263602
+0.0252548
+0.0241144
+0.0230872
+0.0221856
+0.0214479
+0.0208831
+0.0204122
+0.0201523
+0.0200999
+0.020279
+0.0206054
+0.0211113
+0.0218098
+0.022699
+0.0237575
+0.0249638
+0.0262882
+0.027716
+0.0292383
+0.0308413
+0.0304597
+0.0292178
+0.0280541
+0.0269766
+0.0260391
+0.0252533
+0.0245438
+0.0239381
+0.0235053
+0.0231629
+0.0229866
+0.0229897
+0.0230972
+0.0232656
+0.0226337
+0.0221971
+0.0219713
+0.0219619
+0.0221302
+0.0225103
+0.0230929
+0.0238631
+0.0248014
+0.0258772
+0.0270877
+0.0284158
+0.0298457
+0.0313636
+0.0325073
+0.0332928
+0.0342008
+0.0352218
+0.0363463
+0.0375651
+0.0388658
+0.0402253
+0.0416557
+0.0431499
+0.0447016
+0.046305
+0.0479548
+0.0708742
+0.0692986
+0.0677262
+0.0661891
+0.0646896
+0.063225
+0.0617771
+0.0603586
+0.0588765
+0.0574218
+0.0559334
+0.0544143
+0.0529253
+0.0514826
+0.0500797
+0.0487349
+0.0474532
+0.0462398
+0.0447931
+0.0434063
+0.0420878
+0.0408429
+0.0395405
+0.0382951
+0.0370647
+0.0358715
+0.0347754
+0.0337664
+0.0326908
+0.0316612
+0.0307377
+0.0298612
+0.0289843
+0.0279899
+0.0270858
+0.0263148
+0.0256593
+0.025036
+0.0244862
+0.0236151
+0.0224072
+0.0213274
+0.0203498
+0.0195416
+0.0189314
+0.0184281
+0.0181399
+0.0180816
+0.0182713
+0.0185982
+0.0191513
+0.0199186
+0.0208885
+0.0220342
+0.0233298
+0.0247417
+0.0262538
+0.0278561
+0.0295342
+0.028739
+0.0274192
+0.0262163
+0.0250679
+0.0240562
+0.0232053
+0.0224575
+0.0218181
+0.0213566
+0.0209887
+0.0207975
+0.0207991
+0.0209098
+0.0210923
+0.0206384
+0.0201586
+0.0199098
+0.0198993
+0.0200849
+0.020503
+0.021141
+0.0219797
+0.022995
+0.0241513
+0.0254441
+0.0268536
+0.0283624
+0.0299555
+0.0308476
+0.0316743
+0.0326274
+0.0336961
+0.0348699
+0.0361364
+0.0374672
+0.0388756
+0.0403539
+0.0418946
+0.043491
+0.0451374
+0.0468284
+0.069379
+0.0678919
+0.0663228
+0.0647523
+0.0632188
+0.0617249
+0.0602676
+0.0588269
+0.0574111
+0.0559258
+0.0544668
+0.052976
+0.0514609
+0.04998
+0.0485446
+0.0471561
+0.0458302
+0.0445727
+0.0433111
+0.0418752
+0.0405069
+0.0392134
+0.0379757
+0.0366772
+0.0354665
+0.0342451
+0.0330952
+0.032054
+0.0310351
+0.0299635
+0.0289859
+0.0281212
+0.0272435
+0.0263028
+0.0253671
+0.0245422
+0.0238812
+0.023252
+0.0226615
+0.022044
+0.0207849
+0.0196298
+0.0185853
+0.0177012
+0.0170251
+0.0164964
+0.0161738
+0.0161084
+0.0162874
+0.0166373
+0.0172469
+0.0180952
+0.0191576
+0.0204007
+0.0217936
+0.0232965
+0.0248913
+0.0265712
+0.028321
+0.0270862
+0.0256816
+0.0243932
+0.0232091
+0.0221125
+0.0211837
+0.0203932
+0.0197136
+0.0192016
+0.0188162
+0.0186087
+0.0186085
+0.0187232
+0.0189231
+0.0186868
+0.0181556
+0.0178789
+0.0178673
+0.0180738
+0.0185373
+0.0192405
+0.0201584
+0.0212609
+0.0225065
+0.0238884
+0.0253845
+0.0269756
+0.0285296
+0.0292579
+0.0301283
+0.0311287
+0.0322472
+0.0334708
+0.0347663
+0.0361473
+0.0376051
+0.0391314
+0.0407184
+0.0423593
+0.044048
+0.0457792
+0.0679216
+0.0664018
+0.0649204
+0.0633587
+0.0617906
+0.0602613
+0.0587739
+0.057325
+0.0558927
+0.0544692
+0.0529921
+0.0515183
+0.0500356
+0.0485256
+0.0470543
+0.0456278
+0.0442562
+0.0429526
+0.0417233
+0.0404049
+0.0389851
+0.0376393
+0.0363757
+0.0351214
+0.0338551
+0.0326846
+0.0314778
+0.0303812
+0.0293701
+0.0283265
+0.0272908
+0.0263966
+0.0255132
+0.0246495
+0.0237078
+0.0228422
+0.0221191
+0.0215135
+0.0209073
+0.0204747
+0.0192466
+0.0180142
+0.0169012
+0.0159465
+0.0151958
+0.0146317
+0.0142733
+0.0141992
+0.0143452
+0.0147412
+0.0154187
+0.016362
+0.0175298
+0.0188804
+0.0203616
+0.0219511
+0.0236369
+0.0253999
+0.0270811
+0.0255146
+0.0240183
+0.0226353
+0.0213878
+0.0202193
+0.0191991
+0.0183581
+0.0176287
+0.0170557
+0.0166484
+0.0164205
+0.016418
+0.0165376
+0.0167594
+0.0167944
+0.0162013
+0.0158906
+0.0158775
+0.0161095
+0.0166278
+0.0174084
+0.0184179
+0.0196184
+0.0209618
+0.0224391
+0.0240255
+0.0257009
+0.0269715
+0.027741
+0.0286578
+0.0297081
+0.0308783
+0.0321373
+0.0334833
+0.034915
+0.0364222
+0.0379961
+0.0396286
+0.0413127
+0.0430425
+0.0448126
+0.0665044
+0.0649515
+0.0634362
+0.0619613
+0.0604081
+0.0588429
+0.0573187
+0.0558389
+0.0543997
+0.0529771
+0.0515456
+0.0500781
+0.0485885
+0.0471155
+0.0456118
+0.0441521
+0.0427365
+0.041385
+0.0401077
+0.0389119
+0.0375294
+0.0361295
+0.0348111
+0.0335841
+0.0323121
+0.0310858
+0.0299335
+0.0287781
+0.0277479
+0.0267158
+0.0256557
+0.0247024
+0.0238551
+0.0230027
+0.0221283
+0.0212306
+0.0204401
+0.0198237
+0.0192428
+0.0187765
+0.0178182
+0.0165086
+0.0153444
+0.0142878
+0.0134663
+0.0128173
+0.0124137
+0.0123163
+0.0124855
+0.012932
+0.0136973
+0.0147511
+0.0160366
+0.0174832
+0.0190609
+0.0207502
+0.0225261
+0.0243696
+0.0256664
+0.0240189
+0.0224456
+0.0209592
+0.0196053
+0.0183789
+0.0172646
+0.0163401
+0.0155547
+0.0149228
+0.0144874
+0.014233
+0.0142274
+0.0143536
+0.0146038
+0.0149835
+0.0143156
+0.0139629
+0.013948
+0.0142116
+0.0147966
+0.0156686
+0.016783
+0.0180924
+0.019541
+0.0211179
+0.0227965
+0.0245558
+0.0254843
+0.0262975
+0.0272628
+0.0283648
+0.0295882
+0.0309004
+0.032298
+0.03378
+0.0353357
+0.0369558
+0.0386323
+0.040358
+0.042127
+0.0439341
+0.0651211
+0.0635436
+0.0619939
+0.0604838
+0.0590165
+0.0574731
+0.0559115
+0.0543934
+0.0529225
+0.0514947
+0.0500834
+0.0486437
+0.0471875
+0.0456809
+0.0442196
+0.042724
+0.0412768
+0.0398763
+0.038549
+0.0373033
+0.0361159
+0.0346924
+0.0333172
+0.032033
+0.0308328
+0.0295605
+0.0283844
+0.0272569
+0.0261668
+0.0251382
+0.0241089
+0.0230919
+0.0222447
+0.0213699
+0.0205335
+0.0196975
+0.0188663
+0.0181865
+0.0176839
+0.0171784
+0.016486
+0.0151394
+0.0138956
+0.0127895
+0.0118667
+0.0111284
+0.0106573
+0.0105437
+0.0107512
+0.0112567
+0.0121282
+0.0133069
+0.0146944
+0.0162475
+0.0179343
+0.0197204
+0.0215812
+0.0234989
+0.0243669
+0.022625
+0.0209674
+0.019386
+0.0179135
+0.0166004
+0.0153852
+0.0143546
+0.0135013
+0.0128094
+0.012337
+0.0120467
+0.012037
+0.0121717
+0.0124605
+0.0129744
+0.0125234
+0.0121187
+0.0121032
+0.0124105
+0.0130763
+0.0140555
+0.015288
+0.0167148
+0.018273
+0.0199504
+0.0217193
+0.0234208
+0.0241048
+0.0249629
+0.0259779
+0.0271322
+0.0284087
+0.0297736
+0.0312217
+0.0327524
+0.0343546
+0.0360189
+0.037737
+0.0395019
+0.0413076
+0.0431489
+0.0636848
+0.0621659
+0.0605964
+0.0590507
+0.0575468
+0.0560831
+0.0545543
+0.0529991
+0.0514883
+0.0500279
+0.0486134
+0.0472157
+0.0457674
+0.0443083
+0.0428001
+0.041353
+0.0398678
+0.0384313
+0.0370543
+0.0357566
+0.0345491
+0.0333374
+0.0319039
+0.0305603
+0.0292997
+0.0281098
+0.026881
+0.025769
+0.0246626
+0.0236576
+0.0226133
+0.0215757
+0.0206665
+0.0198449
+0.0190361
+0.0182302
+0.0174081
+0.0166607
+0.0161294
+0.0156746
+0.0153252
+0.0139393
+0.0126226
+0.0114504
+0.0104824
+0.00963933
+0.00909146
+0.00895796
+0.00920162
+0.00978721
+0.0107782
+0.0120575
+0.0135589
+0.0152283
+0.0170164
+0.0188895
+0.0208246
+0.0228038
+0.0230447
+0.0213651
+0.0196013
+0.0179318
+0.0163408
+0.0148895
+0.0135889
+0.0124382
+0.0114987
+0.0107257
+0.0102037
+0.00986223
+0.00984666
+0.00999338
+0.010337
+0.0109015
+0.010876
+0.0104074
+0.0103894
+0.010745
+0.0115075
+0.0126091
+0.0139698
+0.0155216
+0.0171916
+0.0189649
+0.0208178
+0.0221297
+0.0228524
+0.0237558
+0.0248202
+0.0260258
+0.027354
+0.0287697
+0.0302658
+0.0318425
+0.0334883
+0.0351936
+0.0369501
+0.0387508
+0.0405891
+0.0424604
+0.0622923
+0.0607387
+0.0592253
+0.0576651
+0.0561242
+0.0546276
+0.0531672
+0.0516449
+0.050109
+0.0486071
+0.0471579
+0.0457574
+0.0443667
+0.042922
+0.0414478
+0.0399518
+0.0385222
+0.0370418
+0.0356135
+0.0342641
+0.0330021
+0.0318409
+0.0305707
+0.0291654
+0.0278546
+0.0266419
+0.0254539
+0.0242833
+0.0232502
+0.0221833
+0.0211793
+0.0201484
+0.019177
+0.0184106
+0.0175902
+0.0167824
+0.0160493
+0.0152823
+0.0147157
+0.0143476
+0.0140664
+0.0129391
+0.0115894
+0.0103461
+0.00931117
+0.00837923
+0.00778368
+0.00763527
+0.00795778
+0.00862923
+0.0096974
+0.0110861
+0.0127028
+0.0144713
+0.0163383
+0.0182749
+0.0202633
+0.0222897
+0.0218246
+0.0201239
+0.0183953
+0.016605
+0.0149132
+0.01332
+0.0118947
+0.0106005
+0.00956468
+0.00867075
+0.00808275
+0.00768139
+0.00765652
+0.00782167
+0.00824868
+0.00888529
+0.00939615
+0.0088525
+0.00883134
+0.00928831
+0.0101608
+0.0113934
+0.0128831
+0.0145496
+0.0163196
+0.0181815
+0.0201011
+0.0209883
+0.021749
+0.0226963
+0.0238081
+0.0250625
+0.0264392
+0.027902
+0.0294423
+0.0310608
+0.0327459
+0.0344874
+0.0362767
+0.0381079
+0.0399753
+0.041874
+0.0609469
+0.059358
+0.0578085
+0.0563016
+0.0547493
+0.0532141
+0.0517261
+0.050273
+0.0487588
+0.0472452
+0.0457529
+0.044308
+0.042926
+0.0415514
+0.0401141
+0.038624
+0.0371434
+0.0357211
+0.0342498
+0.0328462
+0.0315303
+0.0303127
+0.029196
+0.0278636
+0.0264959
+0.0252348
+0.0240895
+0.0229095
+0.0218166
+0.0208333
+0.0198072
+0.0188458
+0.0178328
+0.0170059
+0.0162564
+0.0154848
+0.0148103
+0.0140559
+0.0134667
+0.0131671
+0.012918
+0.0121401
+0.0108263
+0.00957071
+0.00849421
+0.00752504
+0.00686928
+0.0067109
+0.00705273
+0.00782684
+0.00898719
+0.0104705
+0.0121692
+0.0139973
+0.0159172
+0.0178994
+0.0199253
+0.0212079
+0.0204384
+0.0189618
+0.0172651
+0.0154758
+0.0136542
+0.0119265
+0.0103416
+0.00889961
+0.00769951
+0.00668318
+0.0059596
+0.00550752
+0.00546683
+0.00566413
+0.00620362
+0.00692167
+0.0077437
+0.00756871
+0.00754394
+0.00813234
+0.00912828
+0.010483
+0.0120681
+0.0138087
+0.0156626
+0.0175942
+0.0194419
+0.0200224
+0.0208183
+0.0218061
+0.0229611
+0.0242593
+0.0256791
+0.0271835
+0.0287623
+0.0304153
+0.0321327
+0.0339047
+0.0357231
+0.0375813
+0.0394736
+0.0413953
+0.0596497
+0.0580272
+0.0564412
+0.0548968
+0.0533976
+0.0518509
+0.0503226
+0.0488448
+0.0474046
+0.0459004
+0.0444115
+0.0429215
+0.0414933
+0.040134
+0.0387792
+0.0373521
+0.0358456
+0.0343763
+0.0329709
+0.031515
+0.0301433
+0.0288701
+0.0277089
+0.0265964
+0.0252466
+0.0239299
+0.0227356
+0.0216346
+0.0205134
+0.0195306
+0.0185771
+0.0175761
+0.0166438
+0.0157641
+0.0151089
+0.0143656
+0.0136642
+0.0130403
+0.0124492
+0.0121287
+0.0119359
+0.0116229
+0.0103726
+0.00917591
+0.00813031
+0.00717003
+0.00650481
+0.0063466
+0.00673846
+0.00754847
+0.00876256
+0.0102783
+0.0120042
+0.0138541
+0.0157914
+0.0177876
+0.019825
+0.0199156
+0.0190883
+0.0179243
+0.0161494
+0.0144589
+0.0126114
+0.010751
+0.00900505
+0.00738244
+0.00596096
+0.00478847
+0.00389403
+0.00333861
+0.00327845
+0.00354671
+0.00421158
+0.00511302
+0.00602527
+0.00644056
+0.00666895
+0.00733684
+0.00847951
+0.00992366
+0.0115856
+0.013389
+0.0152939
+0.0172668
+0.0186539
+0.0192582
+0.0200845
+0.0211067
+0.0222979
+0.0236325
+0.0250878
+0.0266232
+0.0282314
+0.0299138
+0.0316584
+0.0334555
+0.0352971
+0.0371765
+0.0390885
+0.0410282
+0.0583501
+0.0567392
+0.0551241
+0.0535447
+0.0520066
+0.0505166
+0.0489769
+0.0474572
+0.0459917
+0.044567
+0.0430677
+0.0416042
+0.0401292
+0.038722
+0.0373903
+0.0360602
+0.0346339
+0.0331116
+0.0316598
+0.030284
+0.0288538
+0.0275239
+0.026306
+0.0252171
+0.0240931
+0.0227507
+0.0215045
+0.0204014
+0.0193074
+0.0183062
+0.0174654
+0.0164757
+0.0156094
+0.0147207
+0.0140635
+0.0134262
+0.0127818
+0.0122731
+0.0116837
+0.0113607
+0.0112566
+0.0111787
+0.0102701
+0.00922247
+0.0082458
+0.00742377
+0.00677116
+0.00663571
+0.00700457
+0.00779313
+0.00899371
+0.0104761
+0.0121741
+0.0140095
+0.0159311
+0.0179145
+0.0198678
+0.0187905
+0.0178844
+0.0170522
+0.0152324
+0.0134631
+0.0117945
+0.00983947
+0.007934
+0.0061676
+0.00451728
+0.00310763
+0.00195607
+0.00120187
+0.00109663
+0.0015288
+0.00244072
+0.00360579
+0.00460124
+0.00542059
+0.00615479
+0.0070469
+0.00827036
+0.00978319
+0.0115069
+0.0133211
+0.0152345
+0.0172141
+0.0180983
+0.0187206
+0.0195695
+0.0206173
+0.0218352
+0.0231965
+0.0246775
+0.0262323
+0.0278631
+0.0295664
+0.0313304
+0.0331453
+0.0350032
+0.0368976
+0.0388233
+0.0407757
+0.0570526
+0.0554488
+0.0538497
+0.0522372
+0.050668
+0.0491417
+0.0476577
+0.046132
+0.044623
+0.0431724
+0.0417588
+0.040274
+0.0388408
+0.0373851
+0.036004
+0.0347063
+0.0334063
+0.0319471
+0.0304399
+0.0290199
+0.0276779
+0.0262885
+0.0250141
+0.0238688
+0.0228264
+0.0216938
+0.0204153
+0.0192673
+0.0182164
+0.0172198
+0.0163397
+0.015545
+0.0146611
+0.0138898
+0.0131989
+0.0126961
+0.0121786
+0.0116638
+0.0111845
+0.0109189
+0.0107855
+0.0107669
+0.0105162
+0.00962821
+0.00884546
+0.00815656
+0.00759086
+0.00746959
+0.00783314
+0.00853678
+0.00967411
+0.0110925
+0.0127084
+0.0144763
+0.0163447
+0.0182834
+0.0189759
+0.0178449
+0.0168801
+0.016144
+0.0145012
+0.0126931
+0.0109215
+0.00922391
+0.00726066
+0.00535224
+0.00357582
+0.00189881
+0.000378074
+-0.000773616
+-0.0010686
+8.29415e-05
+0.0014301
+0.00269087
+0.00379643
+0.00488494
+0.00594204
+0.00715383
+0.00849996
+0.0100815
+0.0117671
+0.013573
+0.0154787
+0.0173654
+0.0177912
+0.0184233
+0.0192842
+0.0203373
+0.0215622
+0.0229314
+0.0244207
+0.0260094
+0.0276613
+0.0293763
+0.031151
+0.0329757
+0.0348427
+0.0367454
+0.0386786
+0.040638
+0.055742
+0.0541547
+0.05257
+0.0509847
+0.0493758
+0.0478131
+0.0463014
+0.0448299
+0.0433186
+0.0418261
+0.0403939
+0.0389944
+0.0375281
+0.0361317
+0.0347007
+0.0333523
+0.032097
+0.0307971
+0.0293331
+0.0278568
+0.0264795
+0.0251834
+0.0238501
+0.0226505
+0.0216017
+0.0205403
+0.0194683
+0.0182968
+0.0171866
+0.0162884
+0.0154267
+0.0147664
+0.0139408
+0.0132911
+0.0126147
+0.0122647
+0.0118621
+0.0113979
+0.0110477
+0.0107788
+0.0106436
+0.0106592
+0.0107952
+0.0103775
+0.00979336
+0.00923155
+0.0088688
+0.0087647
+0.00905447
+0.00969375
+0.0107089
+0.0120138
+0.0135491
+0.0152356
+0.0170229
+0.0188953
+0.0182968
+0.0171209
+0.0161128
+0.0152812
+0.0139944
+0.0121144
+0.0102725
+0.00848846
+0.00686987
+0.0051402
+0.00332607
+0.00163871
+4.55967e-05
+-0.000711955
+-0.000305333
+0.000788404
+0.00190319
+0.00291259
+0.00394657
+0.00510296
+0.00630441
+0.00755203
+0.00901496
+0.0106202
+0.0123276
+0.0141286
+0.0159723
+0.0168847
+0.0177056
+0.0183406
+0.0192052
+0.0202624
+0.0214916
+0.022865
+0.0243583
+0.0259508
+0.0276062
+0.0293136
+0.0310126
+0.032745
+0.0344269
+0.0361413
+0.0379048
+0.0397109
+0.0543868
+0.0528574
+0.0512803
+0.0497175
+0.0481486
+0.0465447
+0.0449904
+0.0434909
+0.0420402
+0.0405427
+0.0390747
+0.0376653
+0.0362839
+0.0348413
+0.0334799
+0.0320909
+0.0307841
+0.0295689
+0.0282721
+0.0268223
+0.0253891
+0.0240701
+0.0228333
+0.0215815
+0.0204836
+0.0194985
+0.0184833
+0.01751
+0.0163866
+0.0154419
+0.0147522
+0.0140543
+0.0134806
+0.0128413
+0.012334
+0.0120004
+0.0117468
+0.0115221
+0.0112563
+0.011005
+0.0109473
+0.0109625
+0.0110944
+0.0113562
+0.0110077
+0.0106259
+0.0103551
+0.0102864
+0.0105359
+0.0111332
+0.0120443
+0.0132296
+0.014638
+0.0162209
+0.0179321
+0.0192309
+0.0178621
+0.0166508
+0.0156001
+0.0146778
+0.0133266
+0.0117624
+0.00997589
+0.00815119
+0.0064046
+0.00491791
+0.0035747
+0.00206112
+0.00118869
+0.00110942
+0.00168612
+0.00247954
+0.00327949
+0.00400696
+0.00490153
+0.00595018
+0.0071201
+0.00837757
+0.00977181
+0.0113434
+0.013054
+0.0148138
+0.0151791
+0.0157923
+0.0164938
+0.0174125
+0.0183723
+0.0194917
+0.0207463
+0.0220485
+0.0234729
+0.0249935
+0.0266078
+0.0282665
+0.0299175
+0.0315729
+0.0332901
+0.0350601
+0.0368754
+0.0387046
+0.0530862
+0.0515183
+0.0499973
+0.0484334
+0.0468962
+0.0453398
+0.0437499
+0.0422063
+0.0407222
+0.0392951
+0.0378168
+0.0363758
+0.0349983
+0.0336404
+0.0322284
+0.0309073
+0.0295755
+0.0283222
+0.0271361
+0.0258214
+0.0244467
+0.0230739
+0.0218238
+0.020676
+0.0195281
+0.0185524
+0.0175931
+0.0167266
+0.0158485
+0.0148725
+0.0141676
+0.0136092
+0.0132009
+0.01268
+0.012344
+0.0120259
+0.0120306
+0.0119713
+0.0117649
+0.0115602
+0.0115684
+0.01154
+0.0116667
+0.0119728
+0.012259
+0.0121919
+0.0119927
+0.0119984
+0.0122321
+0.0127672
+0.0135831
+0.0146702
+0.0159549
+0.0174185
+0.0190224
+0.019066
+0.01769
+0.0164455
+0.015308
+0.0142376
+0.0124447
+0.0107669
+0.00921832
+0.00788451
+0.00642677
+0.00495673
+0.003808
+0.0030606
+0.00273682
+0.00296994
+0.00365193
+0.00444487
+0.00504759
+0.00556087
+0.00631882
+0.00725004
+0.00834095
+0.00953606
+0.0108645
+0.0123457
+0.0138456
+0.0139557
+0.0142286
+0.0147254
+0.0154146
+0.0162283
+0.0172162
+0.0183214
+0.0195394
+0.0209166
+0.0224089
+0.0239531
+0.0255392
+0.0271199
+0.0287693
+0.0304871
+0.0322622
+0.0340482
+0.0358599
+0.0376768
+0.0518455
+0.0502389
+0.0486779
+0.0471671
+0.0456193
+0.0441031
+0.0425564
+0.0409986
+0.0394691
+0.0380043
+0.0365907
+0.0351526
+0.0337401
+0.0324081
+0.0310642
+0.0297089
+0.0284349
+0.0271666
+0.025971
+0.0248271
+0.0235072
+0.0222404
+0.0209503
+0.0198014
+0.018746
+0.0177344
+0.0168315
+0.0159932
+0.0153046
+0.0145696
+0.0138666
+0.0133302
+0.0129873
+0.0127352
+0.0125715
+0.0123503
+0.0124041
+0.0126004
+0.0125947
+0.012425
+0.0124187
+0.0124585
+0.012576
+0.0128025
+0.0130435
+0.0136367
+0.0137442
+0.0138068
+0.0140606
+0.0145285
+0.0152818
+0.0162557
+0.0174484
+0.0187961
+0.0202913
+0.0191085
+0.0177401
+0.0164838
+0.015283
+0.0136799
+0.0118916
+0.0100888
+0.0084262
+0.0069886
+0.00544708
+0.00385573
+0.00255628
+0.00209745
+0.00304808
+0.00476088
+0.00563642
+0.00594322
+0.0066357
+0.00740286
+0.00801514
+0.0088257
+0.0098511
+0.0109594
+0.0121815
+0.0134839
+0.0132896
+0.0131665
+0.0133556
+0.0137426
+0.0143473
+0.0152337
+0.0161224
+0.0172177
+0.0185086
+0.0198727
+0.0213414
+0.0228117
+0.0243816
+0.0260327
+0.0277469
+0.0294703
+0.0312486
+0.0330324
+0.034859
+0.0367255
+0.0506691
+0.0490241
+0.0474231
+0.045871
+0.0443727
+0.0428445
+0.0413425
+0.0398163
+0.0383004
+0.0367892
+0.0353491
+0.0339533
+0.0325624
+0.031185
+0.0299048
+0.0285567
+0.0272676
+0.0260746
+0.0248399
+0.0237241
+0.0226236
+0.0213922
+0.020254
+0.0190677
+0.018014
+0.0171514
+0.0162507
+0.0154337
+0.0148291
+0.0143153
+0.013785
+0.0133331
+0.0130789
+0.012951
+0.0129483
+0.0130122
+0.0130829
+0.0133892
+0.013527
+0.0135421
+0.0135404
+0.0135385
+0.0136776
+0.0138842
+0.0141068
+0.014506
+0.0151404
+0.0156959
+0.0159545
+0.0163923
+0.0170787
+0.0179688
+0.0190576
+0.0203169
+0.0203815
+0.0189111
+0.0175642
+0.0162128
+0.0148485
+0.0131043
+0.0114809
+0.00975006
+0.00803389
+0.00651773
+0.00482861
+0.00295299
+0.00115208
+2.7729e-05
+0.00185538
+0.00398345
+0.00564565
+0.00570091
+0.00641509
+0.0073633
+0.00791492
+0.00861229
+0.00969712
+0.0110383
+0.0126189
+0.0132569
+0.0127541
+0.0125955
+0.0126091
+0.0128994
+0.0135216
+0.0141749
+0.0150899
+0.0162286
+0.0174667
+0.0187829
+0.0201914
+0.0217298
+0.0233726
+0.0250142
+0.02672
+0.0284702
+0.0302579
+0.0320929
+0.0339094
+0.0356993
+0.0495158
+0.0478714
+0.0462381
+0.0446447
+0.0431039
+0.0416213
+0.0401163
+0.0386331
+0.0371325
+0.0356672
+0.03418
+0.0327717
+0.0313984
+0.0300392
+0.028708
+0.027487
+0.0261693
+0.0249339
+0.0238263
+0.0226913
+0.0216594
+0.0206298
+0.019525
+0.0185306
+0.0174493
+0.0165811
+0.0159133
+0.0151431
+0.0145575
+0.0142556
+0.0138198
+0.0136266
+0.0134557
+0.0133889
+0.0134969
+0.0137972
+0.0139897
+0.0143707
+0.0146607
+0.0148415
+0.0148616
+0.0147973
+0.0149244
+0.0151647
+0.015236
+0.0155486
+0.016117
+0.0169005
+0.0178709
+0.0183286
+0.018945
+0.0197764
+0.0207707
+0.0217284
+0.0202083
+0.0187243
+0.0173629
+0.016055
+0.0142451
+0.0124291
+0.0107041
+0.00909756
+0.00765481
+0.00639906
+0.00491966
+0.00311006
+0.0013727
+0.000450053
+0.00201137
+0.00408489
+0.00595114
+0.00562221
+0.00580176
+0.00656014
+0.00688728
+0.00760669
+0.00877306
+0.010144
+0.011765
+0.0130603
+0.0124693
+0.0120645
+0.0120077
+0.0122279
+0.0126134
+0.0133096
+0.0141864
+0.0152457
+0.0163985
+0.0177259
+0.0192102
+0.0207423
+0.0223361
+0.0240062
+0.0257507
+0.0275525
+0.0293272
+0.0310846
+0.032887
+0.0347296
+0.0483523
+0.0467337
+0.0451025
+0.0434944
+0.0419112
+0.0403849
+0.0389204
+0.0374427
+0.0359866
+0.0345158
+0.0330871
+0.031659
+0.0302921
+0.0289481
+0.0276333
+0.0263626
+0.025176
+0.0239186
+0.022776
+0.0217782
+0.0207536
+0.0198427
+0.0188642
+0.017997
+0.0170991
+0.0162143
+0.0155822
+0.0150668
+0.0145304
+0.0142597
+0.0141399
+0.0139884
+0.0140791
+0.0141435
+0.0143233
+0.0146255
+0.0151218
+0.0155002
+0.0160153
+0.0162869
+0.0163201
+0.0162133
+0.0163247
+0.0164864
+0.0164972
+0.0167238
+0.0171997
+0.0179324
+0.0188015
+0.019778
+0.0208744
+0.0216406
+0.0223933
+0.0213571
+0.0202255
+0.0187809
+0.0173737
+0.0157653
+0.0139386
+0.0120791
+0.0103033
+0.00861376
+0.00709463
+0.00563327
+0.00390149
+0.002284
+0.000947199
+0.00155788
+0.00338159
+0.00500244
+0.00553722
+0.00482866
+0.00486969
+0.00548365
+0.00557526
+0.00624404
+0.00744409
+0.00901936
+0.0108097
+0.0126974
+0.012226
+0.0118126
+0.0115821
+0.0115826
+0.0119884
+0.0125779
+0.0132678
+0.0142566
+0.0154591
+0.016763
+0.0182163
+0.0197493
+0.0213937
+0.0231214
+0.0248565
+0.0265484
+0.0283088
+0.0301222
+0.0319715
+0.0338269
+0.0472269
+0.0455998
+0.0439891
+0.0423788
+0.0407978
+0.0392319
+0.0377228
+0.0362691
+0.034838
+0.0334177
+0.031981
+0.0305944
+0.0292492
+0.0279202
+0.0266282
+0.0253779
+0.0241873
+0.0230332
+0.0218724
+0.0208564
+0.0199878
+0.0190851
+0.0182796
+0.0174499
+0.0167968
+0.0161129
+0.0154838
+0.0150483
+0.0147105
+0.0144892
+0.0145513
+0.0146138
+0.0147507
+0.0150229
+0.0153266
+0.0157001
+0.0162292
+0.0168084
+0.0173875
+0.0177657
+0.0178522
+0.0177418
+0.0178568
+0.017871
+0.0177874
+0.017927
+0.0183242
+0.0188133
+0.0195228
+0.0204156
+0.0214953
+0.0227325
+0.0223332
+0.0212068
+0.0200204
+0.01884
+0.0173275
+0.0157037
+0.0139096
+0.0120843
+0.010263
+0.00857616
+0.00707984
+0.00545537
+0.00365974
+0.00188013
+0.000179916
+0.00115926
+0.00325773
+0.00542728
+0.00487773
+0.00397459
+0.00394338
+0.00447585
+0.00442082
+0.00519767
+0.00658469
+0.00832421
+0.0102226
+0.0121824
+0.0123086
+0.0116408
+0.0113025
+0.0112384
+0.0112861
+0.011712
+0.0124421
+0.0133758
+0.0144974
+0.015822
+0.0173195
+0.0189206
+0.0205403
+0.0221669
+0.0238484
+0.0256033
+0.0274074
+0.0291812
+0.0310021
+0.0328681
+0.0460932
+0.0445103
+0.0428945
+0.0412945
+0.0397101
+0.0381468
+0.0366171
+0.0351177
+0.033694
+0.0323205
+0.0309326
+0.0295537
+0.0282054
+0.0269285
+0.0256958
+0.0244528
+0.0233167
+0.0222319
+0.0211288
+0.0200876
+0.0192026
+0.018482
+0.0177174
+0.0169902
+0.0164516
+0.0160008
+0.0155905
+0.0152679
+0.0150673
+0.0149314
+0.0150613
+0.0154209
+0.0155904
+0.0159134
+0.0164257
+0.0169129
+0.0174806
+0.0181954
+0.0188161
+0.0192777
+0.019319
+0.0192782
+0.0193396
+0.0190584
+0.0189493
+0.0189259
+0.0191547
+0.0196211
+0.0203025
+0.0211624
+0.0222058
+0.0234083
+0.0224875
+0.0212444
+0.0200106
+0.0186529
+0.0173376
+0.0159223
+0.0141657
+0.0124007
+0.0106817
+0.00904327
+0.00753052
+0.00595758
+0.00434919
+0.00293937
+0.00198607
+0.00247223
+0.00402578
+0.00533217
+0.0041866
+0.00337742
+0.0034625
+0.00406101
+0.00394865
+0.00472578
+0.00615914
+0.0079064
+0.00983289
+0.0118515
+0.0123896
+0.0116796
+0.0109948
+0.010651
+0.0107437
+0.011004
+0.0116074
+0.0125059
+0.0136926
+0.0150846
+0.0165699
+0.0180244
+0.0195803
+0.0212483
+0.0229111
+0.0246299
+0.0264047
+0.0282346
+0.0301128
+0.0320307
+0.0450139
+0.043399
+0.0418355
+0.040246
+0.0386605
+0.0371081
+0.0355654
+0.0340684
+0.0325989
+0.0312142
+0.0298916
+0.0285492
+0.0272627
+0.0259563
+0.0247573
+0.0236247
+0.0224815
+0.0214884
+0.0204435
+0.0194522
+0.018587
+0.0179191
+0.017304
+0.0166982
+0.0161982
+0.01592
+0.0157599
+0.01555
+0.0155546
+0.0155894
+0.0157174
+0.016131
+0.0166169
+0.0169691
+0.0175396
+0.0181659
+0.0188469
+0.0195445
+0.0203508
+0.0206727
+0.0207105
+0.0209225
+0.0204659
+0.0201009
+0.0199241
+0.0199616
+0.0201787
+0.020615
+0.0212376
+0.0220487
+0.0230117
+0.0236557
+0.0225932
+0.0213122
+0.0200761
+0.018653
+0.017332
+0.0159306
+0.0140815
+0.0122841
+0.0106214
+0.00887057
+0.00717379
+0.0055534
+0.00409708
+0.00337202
+0.00373635
+0.00438823
+0.00528727
+0.00476101
+0.00356424
+0.00249532
+0.00237903
+0.00260349
+0.00232767
+0.00340867
+0.00515724
+0.00715355
+0.00923839
+0.0113631
+0.0124126
+0.0114558
+0.0107686
+0.0102948
+0.0101769
+0.0103873
+0.0110193
+0.0119621
+0.0131094
+0.0142843
+0.0156126
+0.0171066
+0.0185892
+0.0202009
+0.0219133
+0.0237037
+0.0255408
+0.0274213
+0.0292495
+0.0311245
+0.0440076
+0.0423615
+0.0407581
+0.0392115
+0.037666
+0.0361001
+0.034588
+0.0330729
+0.0316179
+0.0301881
+0.028854
+0.0275923
+0.026315
+0.0251264
+0.0238978
+0.0227783
+0.0217884
+0.0207356
+0.0198636
+0.018943
+0.0181353
+0.0174786
+0.0170272
+0.0165833
+0.0161703
+0.0159237
+0.0159393
+0.015912
+0.0160584
+0.0163043
+0.0166382
+0.0170295
+0.0176685
+0.0182016
+0.018737
+0.0194734
+0.0202333
+0.0210157
+0.0218295
+0.0221549
+0.0222312
+0.0220951
+0.0214995
+0.0211155
+0.0209546
+0.0209409
+0.0211483
+0.0215668
+0.0221627
+0.0229103
+0.0238121
+0.0232225
+0.0221393
+0.0209181
+0.0197219
+0.0184492
+0.0171311
+0.0159277
+0.014282
+0.0125134
+0.0108722
+0.00900944
+0.00727106
+0.00554335
+0.00402037
+0.00325413
+0.00361075
+0.0049333
+0.00456552
+0.0040158
+0.00352838
+0.00273329
+0.00259708
+0.0020731
+0.00172616
+0.00304835
+0.00490958
+0.00696517
+0.00908415
+0.0112307
+0.0125664
+0.0114585
+0.0106414
+0.0101188
+0.00995509
+0.0101701
+0.0106064
+0.011287
+0.012222
+0.0134174
+0.0146352
+0.0160472
+0.0176191
+0.0193099
+0.0210741
+0.0228879
+0.0246935
+0.0265288
+0.0284145
+0.0303408
+0.0430507
+0.0413996
+0.0397721
+0.0381857
+0.0366615
+0.0351692
+0.0336304
+0.0321667
+0.0306908
+0.0292903
+0.0279133
+0.0266455
+0.0254629
+0.0242714
+0.0231451
+0.0220424
+0.0210336
+0.0201728
+0.0192753
+0.0185917
+0.017834
+0.0172344
+0.0167765
+0.016543
+0.016355
+0.0161908
+0.0162427
+0.0164676
+0.0166457
+0.0170753
+0.0175293
+0.0181115
+0.0187292
+0.0194609
+0.0201003
+0.0208182
+0.0216506
+0.0225242
+0.0232198
+0.0235573
+0.0236679
+0.0231798
+0.0226142
+0.0222494
+0.0220965
+0.0220767
+0.0222735
+0.0226344
+0.0231628
+0.023872
+0.0242346
+0.0229909
+0.0218082
+0.0205597
+0.0193049
+0.018092
+0.016855
+0.0156301
+0.0143698
+0.0130656
+0.0113921
+0.00958422
+0.00785725
+0.0062119
+0.00487453
+0.00424929
+0.00452547
+0.00536945
+0.00446432
+0.00375101
+0.00288865
+0.00184613
+0.00195101
+0.00203297
+0.00271134
+0.00376921
+0.00545679
+0.00738369
+0.00940888
+0.0114949
+0.0128334
+0.0117137
+0.010741
+0.0100948
+0.00978059
+0.00966511
+0.00997775
+0.0106109
+0.011358
+0.012446
+0.0137346
+0.0152271
+0.0168491
+0.0185619
+0.0202782
+0.0220626
+0.0238938
+0.0257765
+0.0276609
+0.0295565
+0.0421111
+0.040471
+0.0388577
+0.0372569
+0.0356969
+0.0342021
+0.0327641
+0.0312728
+0.0298542
+0.0284471
+0.0271158
+0.0258105
+0.0246294
+0.0235448
+0.0224704
+0.0214177
+0.0204574
+0.0196182
+0.0188569
+0.0181598
+0.0176552
+0.0171897
+0.0167222
+0.0164863
+0.0164688
+0.0166393
+0.0167727
+0.0170723
+0.0174546
+0.017884
+0.0185415
+0.0191565
+0.0198912
+0.0206997
+0.0215093
+0.0222669
+0.0231205
+0.0240256
+0.0245865
+0.0249094
+0.0249251
+0.024405
+0.0238776
+0.0234728
+0.0232484
+0.0232223
+0.0233679
+0.0236803
+0.0241223
+0.024717
+0.0241629
+0.0228822
+0.0216546
+0.0203967
+0.0191313
+0.0179584
+0.0167669
+0.0155351
+0.0142665
+0.0130374
+0.0120797
+0.0105121
+0.00888591
+0.00744469
+0.00633942
+0.00587227
+0.00598076
+0.00476808
+0.00405387
+0.0035313
+0.00278671
+0.00240417
+0.00199077
+0.00130867
+0.00188128
+0.00355816
+0.00555468
+0.00765811
+0.00977258
+0.0119072
+0.0131418
+0.0119114
+0.010921
+0.0100561
+0.0094091
+0.00924297
+0.00945672
+0.00981037
+0.0106139
+0.0117126
+0.0130744
+0.0145368
+0.0160841
+0.0177638
+0.0195184
+0.0213187
+0.0231233
+0.0249898
+0.0268837
+0.0287959
+0.0412469
+0.0395914
+0.0379688
+0.036364
+0.0348134
+0.0333024
+0.031846
+0.0304775
+0.0290545
+0.0276957
+0.0263593
+0.0251004
+0.023925
+0.0228567
+0.0218727
+0.020875
+0.0199478
+0.019167
+0.0184731
+0.0179472
+0.0174899
+0.0171434
+0.0169195
+0.0166864
+0.0167392
+0.0169518
+0.0173878
+0.0177617
+0.0183595
+0.0188726
+0.0195003
+0.0203096
+0.0211081
+0.0219355
+0.0228718
+0.0237264
+0.0238043
+0.0240821
+0.0245476
+0.0251639
+0.0257398
+0.0255147
+0.0249448
+0.024539
+0.0243243
+0.0242562
+0.024354
+0.0246143
+0.025013
+0.0255783
+0.0242222
+0.0229448
+0.0216923
+0.0204682
+0.0192075
+0.0180784
+0.0169186
+0.0157473
+0.0144692
+0.0132593
+0.0122816
+0.0116013
+0.0102499
+0.00897915
+0.0080864
+0.00675298
+0.00540975
+0.00441638
+0.00372217
+0.00331
+0.00173479
+0.00144092
+0.00167622
+0.00189718
+0.00246546
+0.00395665
+0.00581831
+0.00785142
+0.00995165
+0.012084
+0.0135783
+0.0122075
+0.0109082
+0.00992728
+0.00935802
+0.00904883
+0.00903684
+0.00940629
+0.0102033
+0.0112016
+0.0123958
+0.0138361
+0.0154463
+0.0170657
+0.0187681
+0.0205633
+0.0223754
+0.0242474
+0.0261637
+0.028084
+0.0404457
+0.0387657
+0.0371326
+0.0355572
+0.0339698
+0.0324527
+0.0310115
+0.0296044
+0.0282972
+0.0269352
+0.0256726
+0.0244568
+0.0232876
+0.0222729
+0.0213532
+0.0204785
+0.0195664
+0.0188296
+0.018258
+0.0177984
+0.0175087
+0.0173355
+0.0171531
+0.017166
+0.0172173
+0.0174927
+0.0179272
+0.0185613
+0.0191852
+0.0199583
+0.0206307
+0.0214107
+0.0223365
+0.0225505
+0.0227764
+0.0231278
+0.0232077
+0.0234925
+0.0239637
+0.0245947
+0.0249792
+0.0250847
+0.0253796
+0.0255197
+0.0252768
+0.0252076
+0.0253066
+0.0255016
+0.0257564
+0.0257506
+0.0244421
+0.0231768
+0.0219367
+0.0207584
+0.0195164
+0.0184214
+0.0172846
+0.0162225
+0.0149538
+0.0137865
+0.0128537
+0.0122052
+0.0116845
+0.00978908
+0.00798745
+0.00639733
+0.00512445
+0.00404064
+0.00324331
+0.00292175
+0.00183541
+0.00134379
+0.00100451
+0.00102279
+0.00268517
+0.00474994
+0.00676988
+0.00858041
+0.0105363
+0.0125699
+0.0139198
+0.0124542
+0.0111797
+0.0101389
+0.00942485
+0.00885483
+0.00874121
+0.00903587
+0.00971328
+0.0106707
+0.0119183
+0.0132499
+0.0147435
+0.0163735
+0.0180714
+0.019854
+0.0216523
+0.0235172
+0.0254341
+0.0273621
+0.0397074
+0.0380385
+0.0363727
+0.0347646
+0.0332232
+0.0316978
+0.0302255
+0.0288446
+0.0275296
+0.0262843
+0.0250073
+0.0238471
+0.0228002
+0.0217629
+0.0208679
+0.0200685
+0.0193531
+0.0186424
+0.0181341
+0.0178175
+0.0175995
+0.0175357
+0.0175761
+0.01767
+0.0178855
+0.0182004
+0.0186833
+0.0193004
+0.0201241
+0.0209195
+0.0218381
+0.0217789
+0.0216212
+0.0216596
+0.0218581
+0.0222713
+0.0228007
+0.0230906
+0.0233933
+0.0237674
+0.0240111
+0.0242667
+0.0246844
+0.025245
+0.0253197
+0.025339
+0.0255467
+0.02586
+0.0260785
+0.0255517
+0.0248531
+0.0236099
+0.0223937
+0.0212408
+0.0200288
+0.0189929
+0.0179131
+0.0169454
+0.0157314
+0.0146262
+0.0137548
+0.0128784
+0.0109651
+0.00914227
+0.00745848
+0.00583727
+0.00461095
+0.00371457
+0.00294589
+0.00209533
+0.000745863
+0.000552336
+0.000639219
+0.00187666
+0.00320051
+0.00511048
+0.00714612
+0.00925285
+0.0113913
+0.0133928
+0.0142244
+0.0127739
+0.0115003
+0.0103408
+0.00940752
+0.00883278
+0.0087128
+0.00897853
+0.00950714
+0.0102726
+0.0113922
+0.0126545
+0.0140866
+0.0156384
+0.0173204
+0.0191058
+0.0209682
+0.0228357
+0.0247333
+0.0266731
+0.0390101
+0.0373332
+0.0357119
+0.0340929
+0.0325197
+0.0310214
+0.0295762
+0.0281635
+0.0268452
+0.0256373
+0.0244854
+0.023316
+0.0222826
+0.0213785
+0.0205128
+0.0197864
+0.0191222
+0.0186427
+0.0181896
+0.0179373
+0.0177956
+0.0177542
+0.0179192
+0.0182479
+0.0185974
+0.0190615
+0.0196063
+0.0202426
+0.0210354
+0.0219766
+0.0214413
+0.0210718
+0.0209087
+0.0209221
+0.0211276
+0.0215548
+0.0218708
+0.0221907
+0.022485
+0.022874
+0.0231689
+0.0234396
+0.0236944
+0.0233479
+0.0231624
+0.0231834
+0.0234103
+0.0238191
+0.0243979
+0.0241734
+0.0236837
+0.0233611
+0.0230508
+0.0219324
+0.0207608
+0.0197633
+0.0187489
+0.017865
+0.016761
+0.0157284
+0.0141741
+0.0122221
+0.0103646
+0.00862874
+0.00685517
+0.00531916
+0.00408597
+0.00323213
+0.00273755
+0.00166928
+0.0010817
+0.000338296
+-0.000744268
+0.00142985
+0.00361519
+0.00580413
+0.00799402
+0.00993823
+0.0119547
+0.0140235
+0.0148053
+0.0132465
+0.0118224
+0.0105933
+0.009623
+0.00898873
+0.00870197
+0.00866669
+0.00911687
+0.00978284
+0.0106829
+0.0119178
+0.0133587
+0.0149765
+0.0166379
+0.0184099
+0.0202639
+0.0221654
+0.0241041
+0.026034
+0.038311
+0.0366966
+0.0350628
+0.0334749
+0.0319383
+0.0304249
+0.0289747
+0.0276096
+0.0262952
+0.025062
+0.0239661
+0.0229129
+0.0218947
+0.0210106
+0.0202728
+0.0196099
+0.0190861
+0.0186056
+0.0183497
+0.0181552
+0.0180161
+0.0181415
+0.0183924
+0.0187657
+0.0192998
+0.0199305
+0.020543
+0.0213104
+0.0221012
+0.0215139
+0.0208999
+0.0205027
+0.020335
+0.02032
+0.0205314
+0.0207569
+0.0208903
+0.0212124
+0.0217455
+0.0221618
+0.022488
+0.0220359
+0.0215682
+0.0212162
+0.021012
+0.0210352
+0.021285
+0.0217253
+0.0223395
+0.022922
+0.022405
+0.0220637
+0.021925
+0.0218581
+0.0216903
+0.0207376
+0.0197774
+0.0189415
+0.0173534
+0.0153766
+0.01345
+0.0116167
+0.00992928
+0.00812079
+0.00652782
+0.005006
+0.0038874
+0.00274172
+0.0021477
+0.000453807
+-0.000281605
+-0.000273169
+0.00106045
+0.00228988
+0.00414133
+0.0061543
+0.00825179
+0.0103878
+0.0125427
+0.0147082
+0.015102
+0.0135047
+0.0120686
+0.0107687
+0.00974353
+0.00894823
+0.00846861
+0.00854176
+0.00869626
+0.00921568
+0.0101228
+0.0112848
+0.0127066
+0.0142957
+0.0160177
+0.0178091
+0.0196298
+0.0215139
+0.0234514
+0.02543
+0.037685
+0.0360606
+0.0344873
+0.0329276
+0.0313776
+0.0298901
+0.0284874
+0.0271152
+0.0258358
+0.0246438
+0.023553
+0.0225941
+0.0216186
+0.0208
+0.0201085
+0.0195601
+0.0191539
+0.0187933
+0.0185424
+0.0184575
+0.0184761
+0.0185984
+0.0189347
+0.0194492
+0.0200279
+0.0207533
+0.0215528
+0.0223363
+0.0219594
+0.0211762
+0.0205605
+0.0201566
+0.0199484
+0.0199244
+0.0200626
+0.019963
+0.0200725
+0.0203941
+0.0209036
+0.0210859
+0.0206819
+0.0199735
+0.0194562
+0.019098
+0.0188708
+0.0188966
+0.0191743
+0.0196528
+0.0202837
+0.021037
+0.0212755
+0.0208446
+0.0205767
+0.0205186
+0.020636
+0.0206014
+0.0198687
+0.0181262
+0.0164105
+0.0145781
+0.0126445
+0.0106957
+0.00884202
+0.00717096
+0.0058006
+0.00432
+0.00335247
+0.00264618
+0.00183115
+0.00120912
+0.000179628
+-0.000985667
+0.00100897
+0.00316787
+0.00533858
+0.00711072
+0.00903725
+0.0110314
+0.0130677
+0.0151292
+0.0154874
+0.0138792
+0.012404
+0.0110577
+0.00982803
+0.00888703
+0.00840392
+0.00826723
+0.0082626
+0.00869369
+0.0095726
+0.0107898
+0.0121719
+0.0137269
+0.0154141
+0.0172023
+0.0190746
+0.0210086
+0.0228959
+0.0248296
+0.0371024
+0.0355201
+0.0339428
+0.0324147
+0.0309329
+0.0294405
+0.0280227
+0.0267035
+0.0254957
+0.0243127
+0.0232418
+0.0222879
+0.0214367
+0.0206925
+0.0200661
+0.0196225
+0.0192822
+0.0190623
+0.0189614
+0.0189207
+0.0190317
+0.0192417
+0.0196282
+0.0201364
+0.0208522
+0.0215992
+0.0224956
+0.0219527
+0.02138
+0.0208907
+0.020409
+0.0200021
+0.0197555
+0.0197312
+0.0194802
+0.019342
+0.0194354
+0.0197275
+0.0197079
+0.0191589
+0.0187103
+0.0179406
+0.0173639
+0.0169981
+0.0167425
+0.0167716
+0.0170806
+0.0175858
+0.0182399
+0.0190405
+0.0200092
+0.0196543
+0.0193665
+0.0192167
+0.0191567
+0.0189045
+0.0179335
+0.0168367
+0.0151154
+0.01347
+0.0116789
+0.00991076
+0.00806046
+0.00629165
+0.00473542
+0.00370766
+0.00268824
+0.00196341
+0.000844186
+-0.000262929
+-0.000571736
+0.000991751
+0.00208534
+0.00378751
+0.00577394
+0.0078367
+0.00994844
+0.0118376
+0.0137359
+0.0157104
+0.0160159
+0.0143853
+0.0127297
+0.0112287
+0.00995863
+0.00897582
+0.00829721
+0.00810772
+0.00807857
+0.008459
+0.00916063
+0.0102681
+0.0116733
+0.0132867
+0.014898
+0.0166352
+0.0184665
+0.0203504
+0.0222858
+0.0242559
+0.0365135
+0.0349759
+0.033502
+0.0319819
+0.0305134
+0.0290944
+0.0277151
+0.0263805
+0.0251642
+0.0240861
+0.0230721
+0.0221584
+0.0213314
+0.0206446
+0.0201555
+0.019753
+0.0195155
+0.019397
+0.019411
+0.0195295
+0.01969
+0.0200097
+0.0204292
+0.0209939
+0.0216984
+0.022565
+0.0220383
+0.0212868
+0.0207002
+0.0202024
+0.0199122
+0.0198254
+0.0196395
+0.0194514
+0.019049
+0.0188936
+0.0189786
+0.0187438
+0.0178999
+0.0172707
+0.016793
+0.0159333
+0.015299
+0.0148885
+0.0146326
+0.0146658
+0.0150026
+0.0155319
+0.0162133
+0.0170751
+0.0179428
+0.018074
+0.0180822
+0.0179216
+0.0175781
+0.0173031
+0.0160641
+0.0149813
+0.0137774
+0.0121228
+0.0104954
+0.00890084
+0.00711682
+0.00543069
+0.00378394
+0.00278153
+0.0022506
+0.00205407
+0.000692614
+8.65802e-05
+-0.00123413
+0.000791715
+0.00253087
+0.00430833
+0.00628696
+0.00834944
+0.0104642
+0.0126048
+0.0147005
+0.0165605
+0.016431
+0.0146823
+0.0130431
+0.0114864
+0.0101519
+0.00907932
+0.00832786
+0.00782481
+0.00769604
+0.00810399
+0.00882547
+0.00985266
+0.0111362
+0.0126343
+0.0143054
+0.0160794
+0.0179456
+0.0198781
+0.0218554
+0.0238611
+0.0359848
+0.0344551
+0.0329842
+0.0315957
+0.0301956
+0.0288134
+0.0274758
+0.0262334
+0.0250129
+0.023928
+0.0229601
+0.0221413
+0.0214166
+0.0207315
+0.0202445
+0.019987
+0.0198126
+0.0198035
+0.019939
+0.020129
+0.0204374
+0.0208784
+0.0213798
+0.0219846
+0.0226891
+0.0224794
+0.0215529
+0.0207831
+0.0201721
+0.0196913
+0.019405
+0.0192858
+0.0189919
+0.0188396
+0.0188372
+0.0186303
+0.0181856
+0.0170853
+0.0161558
+0.015393
+0.0147922
+0.0139785
+0.0132681
+0.0127896
+0.0125443
+0.0125891
+0.0129386
+0.01348
+0.0142077
+0.0151695
+0.0157596
+0.0159088
+0.0163528
+0.0166656
+0.0161431
+0.0157261
+0.0142862
+0.0130568
+0.0121021
+0.0107404
+0.00906094
+0.00761988
+0.00625213
+0.00460718
+0.00319682
+0.00213154
+0.00147186
+0.00165109
+-0.000224809
+-0.000968523
+-0.00105317
+0.00107238
+0.00295344
+0.00463335
+0.00655013
+0.00856202
+0.0106345
+0.0127466
+0.0148815
+0.0170305
+0.0167196
+0.0148889
+0.0131686
+0.0115976
+0.0101659
+0.00899074
+0.00817993
+0.0076952
+0.00761734
+0.00786014
+0.00843709
+0.00940973
+0.0107419
+0.0122511
+0.0139424
+0.0157571
+0.0176339
+0.019502
+0.0214313
+0.023399
+0.0354657
+0.0340264
+0.0325544
+0.0311558
+0.029844
+0.0285955
+0.0273034
+0.0260953
+0.024964
+0.0238933
+0.022965
+0.0221778
+0.0215191
+0.020954
+0.0205309
+0.0202845
+0.0202199
+0.0202864
+0.020476
+0.020846
+0.0212352
+0.0217325
+0.0223272
+0.0230352
+0.0232813
+0.0221878
+0.0212453
+0.0204678
+0.0198055
+0.0193549
+0.0190518
+0.0189221
+0.018552
+0.0184199
+0.0185031
+0.018016
+0.0166765
+0.0154721
+0.0144923
+0.0135392
+0.0128518
+0.0121047
+0.0112797
+0.0107274
+0.0104462
+0.0105585
+0.0109105
+0.0114333
+0.0122473
+0.0133511
+0.0135788
+0.0137517
+0.0142565
+0.0146407
+0.0148227
+0.014246
+0.0126386
+0.0112303
+0.0101045
+0.00934549
+0.00775202
+0.00603617
+0.00467655
+0.00347041
+0.00217892
+0.00147496
+0.00138339
+0.000495503
+-0.000719129
+-0.00138066
+-0.000782609
+0.00116419
+0.00304479
+0.00512569
+0.007256
+0.00922553
+0.011201
+0.0132429
+0.0153184
+0.0174136
+0.0170006
+0.0152028
+0.0134724
+0.0118399
+0.0104119
+0.00923352
+0.00833443
+0.00771817
+0.00757917
+0.00763122
+0.00817368
+0.0091605
+0.0104531
+0.0119019
+0.013521
+0.0152642
+0.0170946
+0.0189995
+0.0209604
+0.0229628
+0.034959
+0.033537
+0.0321871
+0.0308442
+0.0295262
+0.0283166
+0.0272094
+0.0260628
+0.0249859
+0.0239774
+0.0231258
+0.0223393
+0.0217257
+0.0211867
+0.020844
+0.0206835
+0.0206769
+0.0208162
+0.0211383
+0.0215528
+0.0221037
+0.0226612
+0.023319
+0.024089
+0.0231733
+0.0220736
+0.0211261
+0.0203439
+0.0196775
+0.0192237
+0.0189186
+0.0187493
+0.0183647
+0.0182313
+0.0182082
+0.0166583
+0.0152273
+0.0139034
+0.0127764
+0.0118013
+0.0109803
+0.0103561
+0.00938176
+0.008728
+0.00836766
+0.00852084
+0.0088403
+0.00943716
+0.0103795
+0.0116136
+0.0114019
+0.0116072
+0.0120914
+0.0125421
+0.0132743
+0.0124952
+0.0111791
+0.00955805
+0.00820599
+0.00727414
+0.00636643
+0.0049005
+0.00315376
+0.00199802
+0.00123707
+0.000768371
+0.000865312
+-0.000271551
+-0.00160927
+-0.0017609
+-0.000363897
+0.00173963
+0.00381077
+0.00569481
+0.00768846
+0.00976262
+0.011871
+0.0140039
+0.0159944
+0.0180259
+0.0174484
+0.0156482
+0.013936
+0.0123167
+0.0107874
+0.00946764
+0.00848476
+0.00772332
+0.00740614
+0.00753746
+0.00800942
+0.00880547
+0.00998614
+0.0114676
+0.0131222
+0.0149122
+0.0167809
+0.0186617
+0.0205943
+0.022574
+0.0345584
+0.0331333
+0.0317864
+0.0305163
+0.0293511
+0.0281339
+0.0270189
+0.0260029
+0.0251315
+0.0241678
+0.0233321
+0.0226317
+0.0220462
+0.0216399
+0.0213044
+0.0211807
+0.0212168
+0.0214661
+0.0218064
+0.0222976
+0.0229542
+0.02366
+0.0243451
+0.0244532
+0.0232441
+0.0221474
+0.0212181
+0.0204552
+0.0197925
+0.0193414
+0.0190383
+0.0188208
+0.0184377
+0.0183047
+0.0171293
+0.0154848
+0.0139185
+0.0124732
+0.011203
+0.0102033
+0.00915562
+0.00850869
+0.00762354
+0.00678534
+0.00634699
+0.00641645
+0.00677685
+0.0075088
+0.00866193
+0.00949169
+0.00923139
+0.00948384
+0.00993752
+0.0104812
+0.0111601
+0.0108004
+0.00946231
+0.00813586
+0.00649418
+0.00526774
+0.00463886
+0.00355523
+0.0020838
+0.000862326
+0.000453692
+-9.88114e-05
+-0.000318851
+-0.0017092
+-0.00213551
+-0.00190941
+2.41069e-05
+0.00189086
+0.00395768
+0.00609007
+0.00825287
+0.0103605
+0.0123858
+0.0144005
+0.0164203
+0.018479
+0.0178676
+0.0160561
+0.0143013
+0.0126473
+0.0111634
+0.009865
+0.00860883
+0.00777838
+0.00741428
+0.00747765
+0.00786528
+0.00868709
+0.00980215
+0.0111932
+0.012807
+0.0145365
+0.0163699
+0.0182822
+0.020251
+0.0222612
+0.0342844
+0.0328474
+0.0314974
+0.0302296
+0.0290568
+0.0280066
+0.0269812
+0.0259888
+0.0251042
+0.0243688
+0.0236677
+0.0230212
+0.0224852
+0.0221139
+0.0219354
+0.0218482
+0.0219165
+0.0221742
+0.0226248
+0.0231631
+0.0238063
+0.0245585
+0.0254352
+0.0247037
+0.0235073
+0.022423
+0.0215056
+0.0207748
+0.0201429
+0.0196686
+0.019393
+0.0191036
+0.0187263
+0.0180887
+0.0162743
+0.0145283
+0.0128302
+0.0112568
+0.00977478
+0.00850624
+0.00745234
+0.00665702
+0.00599965
+0.00495381
+0.00435695
+0.00439495
+0.00479256
+0.00571875
+0.00689278
+0.00734577
+0.00707339
+0.00739916
+0.00780414
+0.00848562
+0.00908027
+0.00879438
+0.00772341
+0.00646965
+0.00515537
+0.00349046
+0.00256221
+0.00176476
+0.000861636
+0.000125862
+-0.000671016
+-0.0011082
+-0.00179242
+-0.00253537
+-0.00310573
+-0.00146051
+0.000578981
+0.00268435
+0.00467065
+0.0065767
+0.00837602
+0.0103258
+0.0123547
+0.014386
+0.0164582
+0.0185576
+0.018303
+0.0164047
+0.0145885
+0.0128893
+0.0113593
+0.00998405
+0.00879764
+0.00786288
+0.00735541
+0.00733902
+0.00769612
+0.00843089
+0.00957262
+0.0109914
+0.0126171
+0.0143349
+0.0161455
+0.0180331
+0.0199822
+0.0219769
+0.0340934
+0.032686
+0.0313383
+0.0300817
+0.0289219
+0.0278666
+0.0269484
+0.0260769
+0.0252324
+0.0245125
+0.0239599
+0.0234916
+0.0230199
+0.0227364
+0.0225828
+0.0226109
+0.0227711
+0.0230446
+0.0234818
+0.0240864
+0.024768
+0.0255621
+0.0264299
+0.0251434
+0.0239572
+0.0229021
+0.022004
+0.0212513
+0.0206801
+0.0202172
+0.019925
+0.0196206
+0.0191604
+0.017301
+0.0155176
+0.0136926
+0.0118862
+0.0101087
+0.00852573
+0.0070805
+0.00587279
+0.0049027
+0.00425081
+0.00336686
+0.00255871
+0.00251724
+0.0030012
+0.00393343
+0.00519848
+0.00515705
+0.00494424
+0.00532443
+0.00571432
+0.00661473
+0.00704249
+0.00669921
+0.00627417
+0.00467446
+0.00354204
+0.00225505
+0.000801531
+0.000302366
+-0.000470095
+-0.00103878
+-0.00152949
+-0.00247472
+-0.00289278
+-0.00227375
+-0.00153825
+-0.000819586
+0.000808845
+0.00266638
+0.00459999
+0.00660906
+0.00864168
+0.0106665
+0.0126345
+0.0146198
+0.016651
+0.0187178
+0.0185442
+0.0166733
+0.0148853
+0.0131671
+0.0115915
+0.0101694
+0.00899435
+0.00796241
+0.00739418
+0.00737014
+0.00767685
+0.00830432
+0.00937619
+0.0107438
+0.0123411
+0.0140703
+0.015902
+0.0177902
+0.0197248
+0.0217081
+0.0340267
+0.0326279
+0.0312981
+0.03005
+0.0289037
+0.0278586
+0.0269401
+0.0261732
+0.0254856
+0.0248377
+0.0243044
+0.0239481
+0.0236545
+0.0233814
+0.0233092
+0.0234055
+0.0236492
+0.0239906
+0.0244352
+0.02504
+0.0257681
+0.0265897
+0.02702
+0.0257299
+0.0245676
+0.0235399
+0.0226671
+0.0219371
+0.021356
+0.0209521
+0.0206766
+0.0203499
+0.0186591
+0.0167442
+0.0148928
+0.0130384
+0.0112405
+0.00934093
+0.00756177
+0.00595229
+0.00453555
+0.00338834
+0.00257801
+0.00199625
+0.000958197
+0.00090151
+0.00119809
+0.00218351
+0.00336767
+0.00296894
+0.00288159
+0.00339836
+0.00374171
+0.00479498
+0.00512658
+0.00469211
+0.00465449
+0.00333442
+0.00164613
+0.000586363
+-0.000717738
+-0.00155346
+-0.00218295
+-0.00277485
+-0.00285342
+-0.0039103
+-0.00307963
+-0.00126281
+5.88732e-05
+9.99649e-06
+0.00111417
+0.00283681
+0.00475876
+0.00680012
+0.00884928
+0.0108377
+0.0128877
+0.0149775
+0.0170522
+0.0190724
+0.0188595
+0.0169532
+0.0151241
+0.0134037
+0.0117987
+0.010405
+0.00929445
+0.0083107
+0.00772779
+0.00759134
+0.00764611
+0.00822732
+0.00921795
+0.0105438
+0.0121232
+0.0138119
+0.0156253
+0.017525
+0.019486
+0.0214845
+0.033979
+0.0326949
+0.0313906
+0.0301655
+0.0290365
+0.0279958
+0.0270819
+0.0263191
+0.0256971
+0.0252154
+0.0247725
+0.0244641
+0.0243174
+0.024171
+0.0241038
+0.0242203
+0.0245093
+0.0249687
+0.025521
+0.0261003
+0.0268379
+0.0276641
+0.0277363
+0.026481
+0.0253533
+0.0243587
+0.0235163
+0.0227981
+0.0222151
+0.0218271
+0.0216241
+0.0203959
+0.0184011
+0.0164447
+0.014458
+0.0125395
+0.0106161
+0.00871065
+0.00695128
+0.00518498
+0.003538
+0.00200193
+0.000981591
+0.000153803
+-0.000580083
+-0.000726507
+-0.000621792
+0.000444753
+0.00140398
+0.000786529
+0.000952523
+0.00159656
+0.00191517
+0.00292871
+0.00346864
+0.00283469
+0.00294192
+0.00202778
+0.000693918
+-0.00116622
+-0.00207777
+-0.00318
+-0.00389597
+-0.00437403
+-0.00477717
+-0.004226
+-0.00259021
+-0.00116932
+-0.000145529
+0.000151006
+0.000860373
+0.00261885
+0.00447361
+0.00641777
+0.00832489
+0.010345
+0.0124206
+0.0145133
+0.01663
+0.0187637
+0.019207
+0.017339
+0.0155455
+0.0138389
+0.0122868
+0.0108255
+0.00959852
+0.00857389
+0.00788676
+0.00758536
+0.00759042
+0.00810513
+0.00910513
+0.0104227
+0.0119936
+0.013712
+0.0155263
+0.0174273
+0.0193588
+0.0213228
+0.0340101
+0.0327316
+0.0315331
+0.030374
+0.0292962
+0.0283023
+0.0273987
+0.026645
+0.0260308
+0.0255709
+0.0252931
+0.0250377
+0.0249229
+0.0249471
+0.0249936
+0.0251716
+0.0254498
+0.0259022
+0.026467
+0.027197
+0.0279751
+0.0288301
+0.0286028
+0.0273873
+0.0262983
+0.0253333
+0.0245181
+0.0238059
+0.0232496
+0.0228783
+0.022407
+0.0203736
+0.0183742
+0.0163468
+0.0143482
+0.0123682
+0.0103222
+0.00834989
+0.00648885
+0.00464381
+0.0029167
+0.00119633
+-0.000336544
+-0.00142756
+-0.00214102
+-0.00248491
+-0.00233387
+-0.00131612
+-0.000546951
+-0.000694507
+-0.0007547
+-0.000201081
+0.000734744
+0.00122182
+0.00188252
+0.00145333
+0.00130941
+0.00137885
+0.000106943
+-0.000796411
+-0.00211677
+-0.00355027
+-0.00521059
+-0.0060723
+-0.00587424
+-0.00439781
+-0.00323049
+-0.00211558
+-0.00111522
+-0.000533277
+-0.000100563
+0.00159334
+0.00347566
+0.00552065
+0.00761681
+0.00975413
+0.0119109
+0.0140781
+0.0162357
+0.0183855
+0.0197177
+0.0178674
+0.0160431
+0.0142936
+0.0126775
+0.0112576
+0.00994353
+0.00892733
+0.00814246
+0.00767024
+0.0076453
+0.00815656
+0.00911044
+0.0104082
+0.0118934
+0.0135711
+0.0153784
+0.0172506
+0.0191804
+0.021161
+0.034159
+0.0328863
+0.031714
+0.0306312
+0.0295793
+0.0286558
+0.0278546
+0.0271136
+0.0265332
+0.0260908
+0.0258186
+0.0256853
+0.025633
+0.0256721
+0.0258769
+0.0261155
+0.0264977
+0.0269719
+0.0275148
+0.0282177
+0.0290691
+0.0300165
+0.0296063
+0.0284337
+0.0273687
+0.0264414
+0.0256456
+0.0249656
+0.0244371
+0.0240828
+0.0225559
+0.0205146
+0.0184985
+0.0164912
+0.0144719
+0.0124477
+0.0104533
+0.00851144
+0.00646782
+0.00452337
+0.00263382
+0.000694117
+-0.00114875
+-0.00267897
+-0.00376438
+-0.00414353
+-0.0034472
+-0.00258796
+-0.00256208
+-0.00235033
+-0.00226038
+-0.00160966
+-0.000501569
+0.000143199
+9.7781e-05
+-0.000546635
+-0.000847794
+-0.000689502
+-0.000885269
+-0.00170313
+-0.00285501
+-0.00407821
+-0.00570461
+-0.00748053
+-0.00648046
+-0.00531523
+-0.00387534
+-0.00261484
+-0.00212567
+-0.00154139
+-0.00104879
+0.0010096
+0.00307293
+0.00514924
+0.00729219
+0.00945571
+0.011624
+0.0137967
+0.0159744
+0.0180258
+0.0199868
+0.0183695
+0.016534
+0.0147947
+0.0131892
+0.0116981
+0.0103333
+0.00925969
+0.00839644
+0.00789535
+0.00787175
+0.00830787
+0.00921087
+0.0104115
+0.0118964
+0.0135164
+0.0152266
+0.0170471
+0.018941
+0.0208853
+0.0342739
+0.0331203
+0.0320238
+0.0309504
+0.0299925
+0.0290719
+0.0282893
+0.0276353
+0.0271347
+0.0267489
+0.0264899
+0.0264008
+0.0263822
+0.026513
+0.0267309
+0.0270964
+0.0275387
+0.0280668
+0.0286685
+0.0293527
+0.0301807
+0.031115
+0.0307334
+0.029589
+0.0285659
+0.0276787
+0.0269046
+0.0262572
+0.0257565
+0.0249092
+0.0228681
+0.0208574
+0.0188778
+0.0168519
+0.014829
+0.0128612
+0.0109615
+0.00892059
+0.00694815
+0.00509147
+0.00323975
+0.00152744
+-6.93801e-06
+-0.00119695
+-0.0023069
+-0.00334948
+-0.00381685
+-0.00333849
+-0.00362439
+-0.00417606
+-0.00397031
+-0.00307383
+-0.0018807
+-0.0012249
+-0.00137772
+-0.00172045
+-0.00247807
+-0.00287176
+-0.00281373
+-0.00333767
+-0.00415031
+-0.00517292
+-0.00667707
+-0.00835851
+-0.00745537
+-0.00598536
+-0.00490614
+-0.00401724
+-0.00365063
+-0.00225594
+-0.000512599
+0.00145958
+0.0031578
+0.0052014
+0.00730906
+0.00945456
+0.0113308
+0.0132008
+0.0151528
+0.0171419
+0.0190419
+0.0188464
+0.0170247
+0.0152581
+0.0136118
+0.0121206
+0.010758
+0.00956364
+0.00868505
+0.0081345
+0.00809725
+0.00846538
+0.00917638
+0.0102914
+0.0116744
+0.0132498
+0.0149807
+0.0168173
+0.0187259
+0.0206905
+0.0345007
+0.0333662
+0.0323288
+0.0313522
+0.0304607
+0.0296348
+0.0288675
+0.0282271
+0.0277371
+0.0273983
+0.0272137
+0.0271928
+0.0271902
+0.0273631
+0.027687
+0.0280659
+0.0285769
+0.0291906
+0.0298554
+0.0305856
+0.0313811
+0.0323059
+0.0319557
+0.0308556
+0.029876
+0.0290176
+0.0282775
+0.0276623
+0.0271886
+0.025382
+0.0233822
+0.0214198
+0.0194304
+0.017437
+0.0154907
+0.0135474
+0.0116368
+0.0097161
+0.00792269
+0.00617818
+0.00454764
+0.00306633
+0.0018136
+0.000658119
+-0.000495451
+-0.00131424
+-0.00171681
+-0.00140625
+-0.00178923
+-0.00242899
+-0.00261684
+-0.0026966
+-0.00233616
+-0.00169441
+-0.00223282
+-0.00275186
+-0.0034462
+-0.00380159
+-0.00465822
+-0.00525823
+-0.00581849
+-0.00660295
+-0.00781127
+-0.00934381
+-0.00842883
+-0.00710773
+-0.00608818
+-0.00494826
+-0.00328777
+-0.00176703
+-6.76518e-05
+0.00149166
+0.00345017
+0.00497309
+0.00665007
+0.00846079
+0.0103795
+0.0122923
+0.0141746
+0.0161267
+0.0181334
+0.0193265
+0.0175397
+0.0157425
+0.0140575
+0.012494
+0.011113
+0.0099032
+0.00906902
+0.00848057
+0.00822868
+0.00847782
+0.00916416
+0.0102798
+0.011626
+0.0132001
+0.0149305
+0.0167376
+0.0186046
+0.0205356
+0.0347191
+0.0336613
+0.0327162
+0.0318162
+0.0309451
+0.0301982
+0.0295366
+0.0289465
+0.0284957
+0.028166
+0.0279864
+0.0279778
+0.0281258
+0.0282931
+0.0286275
+0.0290894
+0.0296453
+0.0302855
+0.0310402
+0.0318302
+0.0326768
+0.0335733
+0.0332765
+0.0322216
+0.0312848
+0.0304529
+0.0297381
+0.0291537
+0.0280131
+0.0260311
+0.0240786
+0.0221396
+0.0201793
+0.0182267
+0.016311
+0.0144483
+0.0125943
+0.0108657
+0.00920796
+0.00759113
+0.00616093
+0.00484828
+0.00364967
+0.00240691
+0.0014791
+0.00073231
+0.000415701
+0.000539335
+9.00652e-05
+-0.000435789
+-0.000712472
+-0.000910954
+-0.00106891
+-0.00156324
+-0.00245364
+-0.00334441
+-0.00375277
+-0.00435136
+-0.00529711
+-0.00639433
+-0.00773357
+-0.00832678
+-0.00932556
+-0.0106422
+-0.00975385
+-0.00863784
+-0.00709422
+-0.00530622
+-0.00374631
+-0.00201172
+-0.00056904
+0.00064304
+0.00234886
+0.00395926
+0.00558206
+0.00740469
+0.00933988
+0.0112778
+0.0132944
+0.0153588
+0.017454
+0.019554
+0.0178011
+0.0160333
+0.0143724
+0.0128401
+0.0114858
+0.0102895
+0.00932827
+0.00877222
+0.00846552
+0.0086125
+0.00928799
+0.0103051
+0.0116492
+0.0131576
+0.0148294
+0.0166222
+0.0184638
+0.0203376
+0.0350688
+0.0340219
+0.0330871
+0.0322741
+0.0314847
+0.0307605
+0.0301783
+0.0297107
+0.0292774
+0.0290035
+0.0288935
+0.0288966
+0.0290399
+0.0293287
+0.0296578
+0.0301366
+0.0307261
+0.0314062
+0.0321607
+0.0330181
+0.0339592
+0.0348798
+0.0346756
+0.0336646
+0.032769
+0.031971
+0.0312751
+0.0307199
+0.0287567
+0.0268164
+0.0249178
+0.0229975
+0.02106
+0.0191771
+0.0173577
+0.015542
+0.0138275
+0.0122443
+0.0106626
+0.00921539
+0.00788237
+0.00669392
+0.00540875
+0.00429824
+0.00351365
+0.00278412
+0.0025717
+0.00251829
+0.00195344
+0.00148274
+0.00114265
+0.000994141
+0.000234944
+-0.00135578
+-0.00238999
+-0.00327572
+-0.00415339
+-0.0050042
+-0.00565875
+-0.006699
+-0.00812273
+-0.009726
+-0.0109949
+-0.0121799
+-0.0112469
+-0.0096886
+-0.00790496
+-0.00630735
+-0.00463421
+-0.00322191
+-0.00221087
+-0.000636705
+0.000886064
+0.00255139
+0.00449707
+0.00650349
+0.00852374
+0.0106117
+0.0127224
+0.014842
+0.0169796
+0.0191275
+0.0182303
+0.0164625
+0.0147834
+0.0132459
+0.0118532
+0.0106722
+0.00978655
+0.00921446
+0.00882146
+0.0089626
+0.00954808
+0.0104722
+0.0116914
+0.0131158
+0.0147294
+0.016453
+0.0182482
+0.0201051
+0.035529
+0.0344952
+0.0335726
+0.0327708
+0.0320987
+0.0314563
+0.0308872
+0.030449
+0.0301497
+0.0299116
+0.0298047
+0.0298586
+0.0300482
+0.030358
+0.0307974
+0.0312708
+0.0318712
+0.032576
+0.0333609
+0.0342142
+0.0351581
+0.0361935
+0.0361518
+0.0351832
+0.0343272
+0.0335487
+0.0328862
+0.0315449
+0.0296253
+0.0277459
+0.0258649
+0.023959
+0.0221059
+0.0203201
+0.0185388
+0.0168377
+0.0152522
+0.013746
+0.0122714
+0.0109425
+0.00975317
+0.00844963
+0.00723076
+0.00629875
+0.00556446
+0.00491487
+0.00474663
+0.00425168
+0.00341521
+0.00270836
+0.00168579
+0.0011636
+0.000846899
+-0.000746218
+-0.0021809
+-0.00308578
+-0.00412602
+-0.00494206
+-0.00590537
+-0.00706963
+-0.00849707
+-0.0101025
+-0.011619
+-0.0122471
+-0.0110071
+-0.00987295
+-0.00896231
+-0.00739772
+-0.00591362
+-0.00480958
+-0.00366097
+-0.00212202
+-0.000207953
+0.00189522
+0.00391612
+0.00602498
+0.00815692
+0.01027
+0.0124101
+0.0145634
+0.0166891
+0.0188298
+0.01867
+0.0169148
+0.0152503
+0.0136999
+0.0123084
+0.0111658
+0.0103019
+0.00953962
+0.00917074
+0.00930682
+0.00978763
+0.01068
+0.0118412
+0.0131783
+0.0147214
+0.0163691
+0.0181242
+0.0199635
+0.036086
+0.0350686
+0.0341615
+0.0333738
+0.0327141
+0.0321872
+0.03169
+0.0313054
+0.0310144
+0.0308763
+0.030823
+0.0308754
+0.0310825
+0.0314196
+0.0318766
+0.0324658
+0.0330958
+0.0337934
+0.034592
+0.0354466
+0.0364046
+0.0374216
+0.0376975
+0.0367697
+0.0359458
+0.0351921
+0.0343863
+0.0324869
+0.0306264
+0.0287801
+0.0269024
+0.0250754
+0.0233113
+0.0215643
+0.0198749
+0.0182903
+0.016808
+0.0153443
+0.0140105
+0.0127457
+0.0115138
+0.0102219
+0.00912567
+0.00836221
+0.00761906
+0.00708229
+0.00689431
+0.00597732
+0.00496146
+0.00400659
+0.00283096
+0.0019388
+0.00121716
+0.000269064
+-0.00104069
+-0.00240013
+-0.00376978
+-0.0051324
+-0.00605685
+-0.00710794
+-0.00839775
+-0.00968195
+-0.0110805
+-0.0111458
+-0.00993947
+-0.00871925
+-0.00771278
+-0.0068613
+-0.00629823
+-0.00547455
+-0.00412315
+-0.0021564
+2.09395e-05
+0.00192851
+0.00389943
+0.00599134
+0.00807237
+0.0101499
+0.0122544
+0.0143845
+0.0165306
+0.0186869
+0.019239
+0.0175205
+0.0158781
+0.0143332
+0.0129378
+0.0117869
+0.0108888
+0.010124
+0.0097677
+0.00982114
+0.0101963
+0.0109591
+0.0120284
+0.0133476
+0.0147697
+0.0163446
+0.0180472
+0.0198224
+0.0366659
+0.0356932
+0.0348312
+0.0340616
+0.0334164
+0.0328986
+0.0324328
+0.0320893
+0.0318929
+0.0318204
+0.0318887
+0.0319875
+0.0321875
+0.032534
+0.0330043
+0.0336015
+0.0342997
+0.0350673
+0.0358805
+0.0367413
+0.0376711
+0.0387028
+0.0393046
+0.0384156
+0.037612
+0.0368924
+0.0353883
+0.0335456
+0.03173
+0.029877
+0.0280728
+0.0263272
+0.024604
+0.0229284
+0.0213457
+0.0198659
+0.0184257
+0.0170746
+0.0157791
+0.0145079
+0.0132361
+0.0120606
+0.0110997
+0.0103782
+0.00969531
+0.00926066
+0.00867274
+0.0076827
+0.00670853
+0.00548964
+0.00435088
+0.00332546
+0.00213601
+0.00100613
+-0.00024631
+-0.00159541
+-0.00303123
+-0.00443491
+-0.00560216
+-0.00700289
+-0.00837533
+-0.00951812
+-0.0108825
+-0.0103344
+-0.00897911
+-0.00776204
+-0.00669587
+-0.00569927
+-0.00497815
+-0.00449221
+-0.00392777
+-0.00240218
+-0.00063482
+0.00145299
+0.00356279
+0.00559594
+0.00769843
+0.00983947
+0.0119985
+0.0141672
+0.0163418
+0.0185201
+0.0198161
+0.0180983
+0.0164897
+0.0149332
+0.0135497
+0.0123894
+0.0115231
+0.0107828
+0.0104121
+0.0103441
+0.0106556
+0.0113323
+0.0122567
+0.0134233
+0.014817
+0.0163528
+0.0180032
+0.019759
+0.0373085
+0.0363526
+0.0354883
+0.0347316
+0.0340991
+0.0335977
+0.0332124
+0.0329427
+0.0327514
+0.032706
+0.0327802
+0.0329986
+0.0333438
+0.0337338
+0.034198
+0.0347742
+0.0354765
+0.0362708
+0.0371435
+0.0380558
+0.0390151
+0.0400121
+0.0409658
+0.0401137
+0.0393297
+0.0383205
+0.0364935
+0.0347057
+0.0328745
+0.0310898
+0.0293602
+0.0276536
+0.0259925
+0.0244118
+0.0229317
+0.0215068
+0.0201295
+0.0188335
+0.0175236
+0.016224
+0.0150413
+0.0139424
+0.0130937
+0.0124184
+0.0118013
+0.0114437
+0.0105165
+0.00940872
+0.00827221
+0.007124
+0.00596764
+0.00481664
+0.0034429
+0.00196745
+0.000373455
+-0.00112404
+-0.00249836
+-0.00370107
+-0.00476297
+-0.00615759
+-0.00762712
+-0.00916472
+-0.0101254
+-0.00890498
+-0.0075272
+-0.00625492
+-0.00531616
+-0.00482439
+-0.00382892
+-0.00328517
+-0.00273383
+-0.00150963
+1.0756e-05
+0.0017737
+0.00375908
+0.00578668
+0.00787025
+0.0099997
+0.012139
+0.0142864
+0.0164452
+0.0186115
+0.0203948
+0.0186661
+0.0170379
+0.015517
+0.0141727
+0.013007
+0.0121102
+0.0114809
+0.0111679
+0.0109381
+0.0110664
+0.0116127
+0.0124549
+0.0135801
+0.0149222
+0.0163931
+0.0180109
+0.0197396
+0.038042
+0.037105
+0.0362645
+0.0355243
+0.0349061
+0.0344166
+0.0340405
+0.0337958
+0.0336736
+0.0336295
+0.033728
+0.033946
+0.0342972
+0.0347831
+0.0353607
+0.0360023
+0.0366952
+0.0374901
+0.0383854
+0.0393504
+0.0403268
+0.0413957
+0.0424502
+0.0418546
+0.0410925
+0.0394636
+0.03769
+0.0358891
+0.0341215
+0.0324055
+0.0307116
+0.0290638
+0.0274851
+0.0259954
+0.0245659
+0.0231959
+0.021895
+0.0205629
+0.0192337
+0.0180252
+0.0168752
+0.0158929
+0.0151326
+0.0144964
+0.0139308
+0.0133003
+0.0122527
+0.0111762
+0.00999941
+0.00878609
+0.00765992
+0.00628425
+0.00470042
+0.00324918
+0.00176073
+0.000193327
+-0.00126642
+-0.00241283
+-0.00383051
+-0.00532231
+-0.00669609
+-0.0083179
+-0.00878201
+-0.00748792
+-0.00623918
+-0.00492786
+-0.00381426
+-0.00309058
+-0.00265663
+-0.00195108
+-0.0012776
+-0.000290742
+0.00128502
+0.00287382
+0.00463398
+0.00653343
+0.00843921
+0.0104534
+0.012527
+0.0146347
+0.0167636
+0.0189041
+0.0209762
+0.0192814
+0.017693
+0.0162336
+0.0149493
+0.0137947
+0.0127339
+0.0119837
+0.0115688
+0.0112723
+0.0113968
+0.0119288
+0.0127478
+0.0138247
+0.0150553
+0.0164705
+0.0180248
+0.0196844
+0.0388568
+0.0379484
+0.0371472
+0.0364317
+0.0358292
+0.0353523
+0.0349864
+0.0347484
+0.0346475
+0.0346541
+0.0347496
+0.0349824
+0.0353414
+0.0358131
+0.0364083
+0.0371008
+0.0378695
+0.0386997
+0.039627
+0.0405788
+0.0416242
+0.0427018
+0.0438223
+0.0436253
+0.0424519
+0.0406907
+0.0389168
+0.037164
+0.0354584
+0.0337769
+0.0321401
+0.0305634
+0.0290664
+0.0276336
+0.0262697
+0.0249587
+0.0236174
+0.022258
+0.0210094
+0.0198582
+0.0187837
+0.017881
+0.0171901
+0.0166034
+0.0160768
+0.0151932
+0.0140841
+0.0128877
+0.0116758
+0.0104935
+0.00922676
+0.00763246
+0.00617955
+0.00440789
+0.00288576
+0.00159087
+0.000223905
+-0.00111049
+-0.00261529
+-0.00417671
+-0.00578588
+-0.00749761
+-0.00728724
+-0.00601542
+-0.00492322
+-0.00358279
+-0.00245969
+-0.00149253
+-0.00117379
+-0.000649939
+0.000178751
+0.000949056
+0.00233186
+0.00401357
+0.00588558
+0.007645
+0.00941314
+0.0112695
+0.0132286
+0.0152508
+0.0173129
+0.019397
+0.0214962
+0.0199851
+0.0183971
+0.0169436
+0.015605
+0.0143984
+0.0133535
+0.012554
+0.0120817
+0.0118765
+0.0119987
+0.0123564
+0.0130763
+0.0140771
+0.0152809
+0.016667
+0.0181873
+0.0198107
+0.0397621
+0.0388749
+0.0380925
+0.0374142
+0.036853
+0.0363961
+0.0360407
+0.0358097
+0.0357119
+0.0357483
+0.0358714
+0.0360968
+0.0364528
+0.0369332
+0.0375131
+0.0381941
+0.0389781
+0.0398474
+0.0407729
+0.0417755
+0.0428667
+0.0439837
+0.0451542
+0.0454327
+0.0437049
+0.0419548
+0.0402151
+0.0385161
+0.0368476
+0.0352192
+0.0336454
+0.0321426
+0.0307075
+0.0293309
+0.0280104
+0.0266614
+0.0253001
+0.0240215
+0.022846
+0.0217259
+0.0207283
+0.0199117
+0.0192582
+0.0187162
+0.0180712
+0.0170003
+0.0158312
+0.0146266
+0.0133905
+0.0121399
+0.0102861
+0.00856498
+0.00697398
+0.0054161
+0.00389238
+0.00230135
+0.000704756
+-0.000263014
+-0.00137069
+-0.00298033
+-0.00465804
+-0.00612938
+-0.00593826
+-0.0044983
+-0.00323266
+-0.0021441
+-0.0010136
+-0.000190411
+0.000428686
+0.000389049
+0.00130122
+0.00214147
+0.00334514
+0.00494705
+0.00648339
+0.00810593
+0.00986768
+0.0116868
+0.0136057
+0.0155339
+0.0174928
+0.0195011
+0.0215412
+0.020693
+0.0191149
+0.017668
+0.016299
+0.0150513
+0.014032
+0.0131754
+0.0125387
+0.0122656
+0.0123527
+0.0127631
+0.0133923
+0.0143321
+0.0155262
+0.0168946
+0.0183287
+0.0198215
+0.0407599
+0.0398861
+0.0391155
+0.0384544
+0.0379086
+0.0374831
+0.0371802
+0.0369563
+0.0368615
+0.0368967
+0.0370499
+0.0373044
+0.0376513
+0.0381189
+0.0386897
+0.0393657
+0.0401398
+0.0410037
+0.0419236
+0.0429225
+0.0439942
+0.0451468
+0.0463663
+0.0467302
+0.045001
+0.0432728
+0.0415795
+0.0399226
+0.0383
+0.0367301
+0.0352226
+0.0337857
+0.0323919
+0.0310713
+0.0297071
+0.0283521
+0.0270473
+0.0258298
+0.024701
+0.0236388
+0.0227158
+0.0219732
+0.0213448
+0.0208317
+0.0199606
+0.0188239
+0.0176228
+0.0163608
+0.0148168
+0.0129664
+0.0112291
+0.00957668
+0.0079484
+0.00659332
+0.00514274
+0.00339877
+0.00186281
+0.000366415
+-0.00106096
+-0.0019771
+-0.00364947
+-0.00517195
+-0.00471636
+-0.0034998
+-0.00217466
+-0.00087465
+0.000389718
+0.00139155
+0.00213758
+0.00173854
+0.00233127
+0.00338592
+0.00406285
+0.00528532
+0.00664186
+0.00818955
+0.00991321
+0.0117247
+0.013638
+0.0155642
+0.0175197
+0.0195253
+0.0215583
+0.0212986
+0.0197215
+0.0182554
+0.0168869
+0.0156397
+0.0145192
+0.0136434
+0.0130304
+0.0127678
+0.0128325
+0.0132378
+0.0139723
+0.0147903
+0.0157744
+0.0169342
+0.0182329
+0.0196875
+0.0418317
+0.0409806
+0.0402304
+0.0395865
+0.0390552
+0.0386311
+0.0383036
+0.0380863
+0.0379943
+0.0380285
+0.0381886
+0.0384729
+0.0388608
+0.0393375
+0.0399289
+0.0406068
+0.0413675
+0.0422234
+0.0431376
+0.0441189
+0.0451724
+0.0462957
+0.0474935
+0.0480538
+0.0463359
+0.0446477
+0.0430009
+0.041383
+0.0398168
+0.0383055
+0.0368626
+0.0354592
+0.034132
+0.0327627
+0.0313926
+0.0300838
+0.0288376
+0.0276933
+0.0265856
+0.0255878
+0.0247376
+0.0240575
+0.0234504
+0.0229544
+0.0218075
+0.0205995
+0.0193627
+0.0176123
+0.0157784
+0.0140258
+0.012306
+0.0106487
+0.00915854
+0.00791884
+0.0063933
+0.00479559
+0.0032042
+0.00177708
+0.000875764
+-0.000838345
+-0.00285649
+-0.00401332
+-0.00346377
+-0.00180584
+-0.000668061
+0.000177906
+0.00147855
+0.00264885
+0.00383654
+0.00362083
+0.00338943
+0.00368562
+0.00441033
+0.0056211
+0.00687928
+0.00841309
+0.0101536
+0.0120029
+0.0138986
+0.0158524
+0.017818
+0.0197819
+0.0217836
+0.021895
+0.0203189
+0.0188423
+0.0175093
+0.016272
+0.0151866
+0.0143376
+0.0137701
+0.0134822
+0.013518
+0.0138024
+0.0143577
+0.0149952
+0.0159039
+0.016997
+0.0182882
+0.0197021
+0.0429697
+0.0421403
+0.0414104
+0.0407852
+0.0402579
+0.0398342
+0.0395166
+0.0393061
+0.0392169
+0.0392501
+0.0394051
+0.0396808
+0.0400744
+0.0405728
+0.0411617
+0.0418421
+0.0426243
+0.0434863
+0.0443856
+0.0453586
+0.0464143
+0.0475178
+0.0486856
+0.0494027
+0.0477197
+0.0460787
+0.0444682
+0.0429048
+0.0413907
+0.0399391
+0.0385316
+0.0371865
+0.0358209
+0.034438
+0.0331316
+0.0318628
+0.0306749
+0.0295579
+0.0285072
+0.0275731
+0.026786
+0.026144
+0.0255703
+0.0247767
+0.0235976
+0.0223662
+0.0204894
+0.0186812
+0.0169151
+0.0151752
+0.0135173
+0.0119774
+0.0106431
+0.00916518
+0.00751943
+0.00594038
+0.00447171
+0.00270035
+0.000706307
+-0.000108641
+-0.00126799
+-0.00195599
+-0.00163222
+-0.000794814
+0.000309048
+0.00146149
+0.0027613
+0.00410503
+0.00519532
+0.00417265
+0.00389092
+0.00426439
+0.00514935
+0.00625945
+0.00748403
+0.00888844
+0.0105585
+0.0123637
+0.0142564
+0.0162224
+0.0182135
+0.0201791
+0.0221869
+0.0225573
+0.0210309
+0.0195406
+0.0181664
+0.0169428
+0.0159104
+0.0150721
+0.0144733
+0.014172
+0.0141163
+0.0143153
+0.0147103
+0.0153302
+0.0161972
+0.0172707
+0.0185014
+0.0198956
+0.0440881
+0.0433791
+0.0426704
+0.0420504
+0.0415295
+0.0411188
+0.0408107
+0.0406068
+0.0405205
+0.0405525
+0.0407026
+0.0409694
+0.0413505
+0.041822
+0.0424006
+0.043083
+0.0438642
+0.0447392
+0.0456452
+0.0466123
+0.0476596
+0.0487648
+0.0499238
+0.0507949
+0.049159
+0.047555
+0.045993
+0.0444777
+0.0430187
+0.0416077
+0.0402462
+0.0388843
+0.037492
+0.0361684
+0.0348989
+0.0336775
+0.0325537
+0.0314567
+0.0304598
+0.0295874
+0.0288553
+0.0282318
+0.0277012
+0.0266186
+0.0252719
+0.023423
+0.0216188
+0.0198675
+0.0181166
+0.0164634
+0.0149075
+0.0134185
+0.0117404
+0.010233
+0.00879509
+0.00712561
+0.0050373
+0.00309248
+0.0015434
+0.000924487
+-0.000113024
+-0.00028684
+3.95244e-05
+0.000136601
+0.00181574
+0.00269729
+0.00394281
+0.00516845
+0.00597943
+0.00510677
+0.0048873
+0.00532751
+0.00614761
+0.0072024
+0.00845296
+0.0097567
+0.0113236
+0.0130346
+0.0148434
+0.0167436
+0.0187075
+0.0206348
+0.0226022
+0.0232646
+0.0217024
+0.0202403
+0.0188908
+0.0177079
+0.0167083
+0.0159121
+0.0152594
+0.0148495
+0.0147568
+0.0148877
+0.0151877
+0.015789
+0.0166176
+0.0176662
+0.0188773
+0.0202521
+0.0449878
+0.044428
+0.0439496
+0.04338
+0.0428753
+0.0424673
+0.0421578
+0.0419604
+0.0418769
+0.0419079
+0.0420531
+0.0423114
+0.0426807
+0.0431456
+0.0437067
+0.044369
+0.045128
+0.0459789
+0.0469168
+0.0478865
+0.0488942
+0.0499763
+0.051126
+0.0522413
+0.0506432
+0.0490817
+0.0475662
+0.0461008
+0.0446869
+0.0433114
+0.0419527
+0.0405527
+0.03921
+0.0379398
+0.0366961
+0.0355347
+0.0344267
+0.0333843
+0.0324428
+0.0316251
+0.0309413
+0.030334
+0.0296555
+0.0282185
+0.0263934
+0.0245919
+0.0228278
+0.0210889
+0.0194406
+0.0178259
+0.0161527
+0.0144952
+0.0129243
+0.0115093
+0.00986222
+0.00789019
+0.0060164
+0.00439397
+0.00316532
+0.00193577
+0.000953612
+0.000857338
+0.00110067
+0.00128118
+0.00267636
+0.0044846
+0.00554272
+0.00675503
+0.00716162
+0.00653468
+0.00633604
+0.00671683
+0.00754691
+0.00852808
+0.00965766
+0.0109605
+0.0123895
+0.0140009
+0.0157064
+0.0175133
+0.0193994
+0.0213071
+0.0232176
+0.0239226
+0.0223648
+0.0209208
+0.0196156
+0.0184483
+0.0174587
+0.0166418
+0.0159699
+0.0155572
+0.0153544
+0.0153898
+0.0156802
+0.0162633
+0.017102
+0.0180717
+0.0192236
+0.0205181
+0.0459123
+0.0453696
+0.0449215
+0.0445767
+0.0442791
+0.043873
+0.0435734
+0.0433825
+0.0433017
+0.0433316
+0.0434721
+0.043722
+0.0440795
+0.0445377
+0.0450814
+0.0457238
+0.0464607
+0.0472877
+0.0482001
+0.0491933
+0.0501937
+0.0512483
+0.0523701
+0.053558
+0.0521715
+0.0506557
+0.0491849
+0.0477685
+0.0463809
+0.0450244
+0.0436186
+0.0422598
+0.0409732
+0.0397268
+0.0385322
+0.0374174
+0.0363352
+0.0353391
+0.034451
+0.0336821
+0.0330409
+0.0324479
+0.0311945
+0.0293734
+0.0275926
+0.0258153
+0.024092
+0.0223158
+0.0205412
+0.0188545
+0.0172684
+0.0157658
+0.0142499
+0.0124525
+0.0104751
+0.0086017
+0.0069173
+0.00554623
+0.00471396
+0.00331802
+0.00238331
+0.00241885
+0.00278253
+0.00303571
+0.00407569
+0.00562286
+0.00691517
+0.00785639
+0.00846359
+0.00795039
+0.00790108
+0.00830082
+0.00913401
+0.0100565
+0.0110365
+0.0122255
+0.0136275
+0.0151506
+0.0167868
+0.0185116
+0.0203052
+0.0221703
+0.0240177
+0.0246621
+0.0231542
+0.0217626
+0.0204536
+0.019225
+0.0181747
+0.0173355
+0.0166931
+0.0162064
+0.0158895
+0.0158715
+0.0161359
+0.0166473
+0.0174212
+0.0183999
+0.019504
+0.0207811
+0.0468436
+0.0463263
+0.0459078
+0.0455909
+0.0453776
+0.0452435
+0.0450511
+0.0448664
+0.0447883
+0.0448173
+0.0449531
+0.0451949
+0.0455408
+0.0459794
+0.0465063
+0.0471293
+0.0478446
+0.048648
+0.0495354
+0.0505023
+0.0515368
+0.0525809
+0.0536748
+0.0548345
+0.0537455
+0.0522706
+0.0508464
+0.049454
+0.0480987
+0.0466889
+0.0453162
+0.0440099
+0.0427669
+0.0415446
+0.0404038
+0.0393028
+0.038267
+0.03732
+0.0364801
+0.035755
+0.0351335
+0.0341881
+0.0323756
+0.0305323
+0.0286882
+0.0268961
+0.0251034
+0.0233352
+0.0216435
+0.0200323
+0.0185401
+0.0169669
+0.0150895
+0.0131437
+0.0112881
+0.00957506
+0.00805057
+0.00686067
+0.00616901
+0.00510004
+0.00438742
+0.00443498
+0.00480656
+0.00509526
+0.00585282
+0.00712056
+0.00843022
+0.00931889
+0.00884194
+0.00861756
+0.00883452
+0.00940329
+0.0100086
+0.0109326
+0.0120763
+0.0133998
+0.0148656
+0.0163258
+0.0178871
+0.0195397
+0.0212451
+0.0229714
+0.0243153
+0.0255084
+0.0239685
+0.0225365
+0.0212133
+0.0200282
+0.019007
+0.0181059
+0.0172797
+0.0166979
+0.0163905
+0.016373
+0.0166459
+0.0171448
+0.0178972
+0.0188746
+0.0199524
+0.0211966
+0.0478571
+0.0473509
+0.0469415
+0.0466316
+0.0464231
+0.0463174
+0.0462968
+0.0463781
+0.0463309
+0.0463589
+0.0464902
+0.046724
+0.0470552
+0.0474692
+0.0479798
+0.0485838
+0.049278
+0.0500584
+0.0509213
+0.0518623
+0.0528774
+0.0539429
+0.0550358
+0.0561674
+0.0553578
+0.0539261
+0.0525301
+0.0511759
+0.0497625
+0.0483779
+0.0470546
+0.0457978
+0.0445687
+0.0433968
+0.0422892
+0.0412184
+0.0402231
+0.0393232
+0.038527
+0.0378411
+0.0371483
+0.0352419
+0.0333704
+0.0315401
+0.0297586
+0.0279564
+0.0261976
+0.0245019
+0.022882
+0.0213642
+0.0197961
+0.017875
+0.0159682
+0.0141438
+0.0124349
+0.0108592
+0.00952641
+0.0085148
+0.00762629
+0.00683487
+0.00648928
+0.00652741
+0.00677013
+0.00688721
+0.00756196
+0.00869547
+0.00990713
+0.00905217
+0.00846751
+0.008201
+0.00844719
+0.0091239
+0.0100799
+0.0111595
+0.0123888
+0.0137529
+0.0152085
+0.0167746
+0.0182209
+0.0190484
+0.0200678
+0.0212642
+0.0226019
+0.0240651
+0.0245557
+0.0231384
+0.0218382
+0.0206889
+0.0197119
+0.0187951
+0.0180006
+0.0174428
+0.0171488
+0.0171321
+0.0173931
+0.0178712
+0.0185941
+0.0194349
+0.0203469
+0.0214447
+0.048946
+0.0484511
+0.0480512
+0.0477485
+0.0475449
+0.0474289
+0.0474072
+0.0474866
+0.0476666
+0.0479462
+0.048078
+0.0483041
+0.0486108
+0.0490116
+0.0495063
+0.050092
+0.0507655
+0.0515234
+0.0523621
+0.0532777
+0.0542664
+0.0553173
+0.0564046
+0.0575445
+0.0570078
+0.0556085
+0.0542446
+0.0528372
+0.051444
+0.0501058
+0.0488293
+0.0476023
+0.0464036
+0.0452793
+0.0441839
+0.0431532
+0.0422022
+0.0413454
+0.0405889
+0.0399293
+0.0381071
+0.0362512
+0.0344346
+0.0326585
+0.0308567
+0.0291083
+0.0274122
+0.025789
+0.0242553
+0.0226744
+0.0207494
+0.0188787
+0.0170843
+0.0153799
+0.0137924
+0.0123903
+0.0112153
+0.0102572
+0.00926095
+0.00854512
+0.00825959
+0.0085084
+0.00856969
+0.00870396
+0.00930837
+0.0102506
+0.0094056
+0.00860866
+0.00832546
+0.00818228
+0.00848234
+0.00918425
+0.0102106
+0.0114007
+0.0126852
+0.0141398
+0.0150226
+0.015476
+0.0161877
+0.0170976
+0.0182265
+0.0195289
+0.0209776
+0.0225464
+0.024212
+0.0238826
+0.0226261
+0.0214632
+0.0203917
+0.0195082
+0.0188287
+0.0183587
+0.0181216
+0.0181058
+0.0183481
+0.0187101
+0.0192309
+0.0199473
+0.0208369
+0.0218939
+0.0500902
+0.0496068
+0.0492162
+0.0489207
+0.048722
+0.0486121
+0.0485909
+0.0486684
+0.0488441
+0.049117
+0.0494855
+0.0499186
+0.0502137
+0.0506019
+0.0510812
+0.051649
+0.0523025
+0.0530384
+0.0538535
+0.0547442
+0.0557068
+0.0567309
+0.0578034
+0.058926
+0.0586891
+0.0573147
+0.0559124
+0.0545136
+0.0531625
+0.0518687
+0.0506367
+0.0494217
+0.0482682
+0.0471665
+0.0461048
+0.0451102
+0.0442013
+0.043384
+0.0426637
+0.0410062
+0.0391651
+0.0373283
+0.0355193
+0.0337555
+0.0320445
+0.0303597
+0.028736
+0.0271391
+0.025415
+0.0235099
+0.0216588
+0.0198755
+0.0181548
+0.0165435
+0.0150791
+0.0137929
+0.0126775
+0.0117318
+0.0108821
+0.010303
+0.0100856
+0.0102903
+0.0105187
+0.0106284
+0.0109123
+0.00965014
+0.00861734
+0.00790184
+0.00760481
+0.0077691
+0.00822236
+0.00906129
+0.010078
+0.0112603
+0.0124119
+0.0126358
+0.0128727
+0.0133845
+0.0141823
+0.0152123
+0.0164652
+0.0178938
+0.0194646
+0.0211459
+0.0229135
+0.0246075
+0.0233828
+0.0221988
+0.0211645
+0.0203147
+0.0196508
+0.0191957
+0.0189289
+0.0188869
+0.0189781
+0.019319
+0.0198967
+0.020646
+0.0215089
+0.0225224
+0.0513025
+0.0508306
+0.0504495
+0.0501613
+0.0499675
+0.0498636
+0.0498429
+0.0499185
+0.0500898
+0.0503559
+0.0507154
+0.0511662
+0.051706
+0.0522357
+0.0527001
+0.0532506
+0.0538847
+0.0545994
+0.0553915
+0.0562578
+0.057195
+0.0581884
+0.0592437
+0.0603462
+0.0603877
+0.0589901
+0.0575863
+0.0562237
+0.0549146
+0.0536631
+0.0524492
+0.0512702
+0.0501592
+0.0490685
+0.048042
+0.0470877
+0.0462177
+0.0454367
+0.0438995
+0.0420457
+0.0402102
+0.038412
+0.0366565
+0.0349477
+0.0332831
+0.0316825
+0.030009
+0.0282052
+0.0263197
+0.024485
+0.022697
+0.0209774
+0.0193531
+0.0178504
+0.0164957
+0.0152817
+0.0142109
+0.0132951
+0.0124751
+0.0119359
+0.0117267
+0.0117007
+0.0106246
+0.00983672
+0.00941178
+0.00850812
+0.00757595
+0.00706849
+0.0069249
+0.00731307
+0.00769951
+0.00836856
+0.00908885
+0.010149
+0.01044
+0.0104693
+0.0107389
+0.0113305
+0.0122402
+0.0134173
+0.0148159
+0.0163889
+0.0180908
+0.01985
+0.0215316
+0.0232981
+0.0242565
+0.0231088
+0.0221172
+0.0212668
+0.0206052
+0.0201198
+0.0198232
+0.0196677
+0.0197554
+0.0200831
+0.0206393
+0.0214064
+0.0223031
+0.0232584
+0.0525782
+0.0521178
+0.0517462
+0.0514653
+0.0512764
+0.0511777
+0.0511576
+0.0512312
+0.0513981
+0.0516575
+0.052008
+0.0524477
+0.0529744
+0.0535856
+0.0542783
+0.054893
+0.0555083
+0.0562023
+0.0569722
+0.0578148
+0.0587251
+0.0596907
+0.06072
+0.0618098
+0.0620697
+0.0606616
+0.0592887
+0.0579661
+0.0566973
+0.0554844
+0.0542829
+0.0531447
+0.0520478
+0.0509933
+0.0499996
+0.0490834
+0.0482494
+0.0467925
+0.0449454
+0.0431221
+0.0413344
+0.0395863
+0.0378728
+0.03621
+0.0346061
+0.0328901
+0.0310538
+0.0291879
+0.0273624
+0.0255813
+0.0238684
+0.0222395
+0.0207145
+0.0193176
+0.018028
+0.0168957
+0.0158991
+0.0149276
+0.0141731
+0.0131038
+0.0114476
+0.00998368
+0.00874128
+0.00782011
+0.00726313
+0.00700277
+0.00646687
+0.00590683
+0.0060025
+0.00632767
+0.00663112
+0.00712266
+0.008026
+0.00856592
+0.00829814
+0.00830644
+0.00861838
+0.00933893
+0.010397
+0.0117487
+0.0133236
+0.0150533
+0.0167601
+0.0184632
+0.0202603
+0.0221285
+0.0240511
+0.0241084
+0.0231237
+0.0223069
+0.0216815
+0.0211753
+0.0208003
+0.0206521
+0.0207357
+0.0210481
+0.0215795
+0.0223143
+0.0232158
+0.0241
+0.0539127
+0.0534639
+0.0531017
+0.0528279
+0.052644
+0.0525478
+0.0525282
+0.0525999
+0.0527625
+0.0530153
+0.0533568
+0.0537855
+0.0542992
+0.0548956
+0.0555721
+0.0563256
+0.0571533
+0.0578438
+0.0585921
+0.0594118
+0.0602938
+0.0612346
+0.0622383
+0.063302
+0.0637391
+0.062357
+0.0608749
+0.0593843
+0.0579382
+0.0565401
+0.0551935
+0.0539023
+0.0526706
+0.0515026
+0.0504029
+0.0493759
+0.048425
+0.0475382
+0.0460582
+0.0442805
+0.0425315
+0.0408233
+0.0391633
+0.0374421
+0.0357255
+0.0338463
+0.0319874
+0.0301699
+0.0283958
+0.0266837
+0.0250463
+0.0234993
+0.0220615
+0.0207513
+0.0195882
+0.0185982
+0.0175786
+0.0156013
+0.0136827
+0.0118589
+0.0100718
+0.00841103
+0.0069758
+0.00588614
+0.00515005
+0.00481649
+0.00498135
+0.00473725
+0.00487349
+0.00486139
+0.00519967
+0.00555675
+0.00599928
+0.00654387
+0.00619049
+0.00616334
+0.00653528
+0.00742118
+0.00870204
+0.010278
+0.0120467
+0.0136739
+0.0154067
+0.0172441
+0.0191559
+0.0211219
+0.0231284
+0.0251656
+0.024281
+0.0235044
+0.0228197
+0.0222696
+0.0219134
+0.0217728
+0.0218521
+0.0221488
+0.0226544
+0.0231833
+0.0238753
+0.0247201
+0.0553018
+0.0548644
+0.0545115
+0.0542448
+0.0540657
+0.0539721
+0.053953
+0.0540228
+0.0541812
+0.0544273
+0.05476
+0.0551778
+0.0556787
+0.0562605
+0.0569207
+0.0576566
+0.0584655
+0.0593442
+0.0602482
+0.0610456
+0.0619002
+0.0628169
+0.0637957
+0.0648338
+0.0638422
+0.0622686
+0.0607332
+0.0592391
+0.0577894
+0.0563875
+0.0550372
+0.0537422
+0.0525068
+0.0513351
+0.0502317
+0.0492012
+0.0482468
+0.0473567
+0.0465527
+0.0454963
+0.0437943
+0.042072
+0.0403154
+0.0385414
+0.0366588
+0.0348112
+0.0329959
+0.0312287
+0.0295183
+0.0278753
+0.0263122
+0.024844
+0.023486
+0.0222503
+0.0209999
+0.0188984
+0.0168152
+0.0147632
+0.01275
+0.0107694
+0.00888789
+0.00707716
+0.00540218
+0.00403637
+0.00309494
+0.00263559
+0.00288606
+0.00354706
+0.00320153
+0.003536
+0.00348917
+0.00337009
+0.00397605
+0.00465344
+0.0041602
+0.0040675
+0.00455426
+0.0056813
+0.00727522
+0.00900269
+0.0105946
+0.0123709
+0.014263
+0.0162304
+0.0182487
+0.0203028
+0.0223828
+0.0244821
+0.0255689
+0.0247183
+0.0240151
+0.0234816
+0.0231441
+0.023011
+0.0230708
+0.0231924
+0.0235152
+0.0239986
+0.0246678
+0.0254863
+0.0567416
+0.0563153
+0.0559715
+0.0557119
+0.0555375
+0.0554464
+0.0554278
+0.0554957
+0.0556499
+0.0558896
+0.0562136
+0.0566207
+0.0571089
+0.0576763
+0.0583205
+0.059039
+0.0598291
+0.0606881
+0.061613
+0.0626009
+0.0635415
+0.0644349
+0.0653895
+0.0653931
+0.0637825
+0.0622073
+0.0606704
+0.0591746
+0.0577233
+0.0563198
+0.0549678
+0.0536712
+0.0524341
+0.0512608
+0.0501557
+0.0491236
+0.0481676
+0.047276
+0.0464707
+0.0457561
+0.0449697
+0.0432198
+0.0413827
+0.0395139
+0.0376713
+0.0358669
+0.0341077
+0.0324012
+0.0307562
+0.0291829
+0.0276937
+0.0263014
+0.0247616
+0.022611
+0.0204689
+0.0183382
+0.0162235
+0.014132
+0.0120737
+0.0100121
+0.00799616
+0.00604578
+0.00416328
+0.00248909
+0.00118081
+0.00046888
+0.000944666
+0.0015555
+0.00119011
+0.00179747
+0.00148837
+0.00119447
+0.00208343
+0.00299179
+0.00228604
+0.00214986
+0.00282795
+0.00436794
+0.00592571
+0.00753078
+0.009376
+0.0113448
+0.0133827
+0.0154625
+0.0175693
+0.0196754
+0.0217894
+0.0239129
+0.0260406
+0.0260083
+0.0253278
+0.0247784
+0.0243064
+0.0240257
+0.023943
+0.0240602
+0.0243733
+0.0248227
+0.0254338
+0.0262143
+0.0582281
+0.0578128
+0.057478
+0.0572252
+0.0570554
+0.0569668
+0.0569487
+0.0570148
+0.0571648
+0.0573982
+0.0577138
+0.0581103
+0.0585862
+0.0591394
+0.0597678
+0.0604691
+0.0612408
+0.0620802
+0.0629847
+0.0639514
+0.0649777
+0.0660606
+0.0670169
+0.0654081
+0.0637979
+0.0622231
+0.0606866
+0.0591913
+0.0577404
+0.0563373
+0.0549857
+0.0536895
+0.0524528
+0.05128
+0.0501753
+0.0491436
+0.048188
+0.0472968
+0.0464919
+0.0457777
+0.0451585
+0.0442585
+0.0423971
+0.0405663
+0.0387728
+0.0370221
+0.0353206
+0.0336756
+0.0320959
+0.0305916
+0.0288585
+0.0266784
+0.0245001
+0.0223243
+0.0201517
+0.0179835
+0.0158215
+0.0136686
+0.01153
+0.00941532
+0.00732643
+0.00530787
+0.00333258
+0.00139889
+-0.000321047
+-0.00160937
+-0.000532409
+-8.43993e-05
+-0.000906145
+0.000118099
+-1.02508e-05
+-0.000869175
+0.000473728
+0.00187468
+0.000841007
+0.000813699
+0.00137686
+0.00289416
+0.00451404
+0.00647882
+0.00855406
+0.0106747
+0.0127786
+0.0149048
+0.017037
+0.0191767
+0.0213268
+0.0234844
+0.0256476
+0.0271396
+0.0263476
+0.0257183
+0.0252639
+0.0249939
+0.0249144
+0.0250141
+0.0252799
+0.0257063
+0.0262968
+0.0270523
+0.059758
+0.0593534
+0.0590274
+0.0587812
+0.058616
+0.0585297
+0.058512
+0.0585764
+0.0587225
+0.0589497
+0.059257
+0.0596433
+0.060107
+0.0606463
+0.0612593
+0.0619437
+0.0626972
+0.0635174
+0.0644017
+0.0653475
+0.0663521
+0.067413
+0.0671371
+0.0654965
+0.0638885
+0.062316
+0.0607818
+0.0592889
+0.0578404
+0.0564398
+0.0550908
+0.0537951
+0.0525587
+0.051386
+0.0502814
+0.0492495
+0.0482923
+0.0474031
+0.0465999
+0.0458874
+0.0452698
+0.044751
+0.0434893
+0.0417065
+0.0399642
+0.0382681
+0.0366244
+0.0350407
+0.0331734
+0.0309871
+0.0288015
+0.0266167
+0.0244329
+0.0222506
+0.02007
+0.0178919
+0.0157173
+0.0135479
+0.0113866
+0.00923917
+0.00709793
+0.00498639
+0.00295566
+0.000972756
+-0.000762576
+-0.00200114
+-0.00099516
+-0.000692717
+-0.00205282
+-0.000837696
+-0.000929919
+-0.00159399
+0.000342783
+0.00156505
+-3.355e-05
+-0.000141663
+8.4675e-05
+0.0017935
+0.00386977
+0.00595344
+0.00809381
+0.0102309
+0.0123841
+0.0145484
+0.0167196
+0.0188953
+0.0210742
+0.0232552
+0.0254379
+0.0276219
+0.0273581
+0.0267526
+0.026316
+0.026057
+0.0259682
+0.0260407
+0.0262961
+0.026708
+0.0272769
+0.0280061
+0.0613281
+0.0609339
+0.0606163
+0.0603766
+0.0602158
+0.0601318
+0.0601146
+0.0601773
+0.0603194
+0.0605406
+0.06084
+0.0612162
+0.0616681
+0.0621939
+0.0627918
+0.0634596
+0.0641954
+0.0649967
+0.0658611
+0.0667862
+0.0677695
+0.0687729
+0.067288
+0.0656511
+0.0640472
+0.062479
+0.0609482
+0.0594575
+0.0580112
+0.0566128
+0.0552659
+0.0539743
+0.052742
+0.0515735
+0.050473
+0.0494451
+0.0484918
+0.0476063
+0.0468066
+0.0460973
+0.0454825
+0.0449662
+0.0445517
+0.0429282
+0.0412376
+0.0395961
+0.0376315
+0.0354494
+0.0332684
+0.0310888
+0.0289109
+0.026735
+0.0245618
+0.0223908
+0.0202215
+0.0180563
+0.0158982
+0.0137503
+0.0116184
+0.00951331
+0.00744814
+0.00547184
+0.00343449
+0.00149037
+9.7552e-05
+-0.000358701
+0.000409636
+0.000607254
+-3.70281e-05
+0.000239515
+-2.14843e-07
+-0.000141138
+0.000709782
+0.00193784
+0.0004484
+-0.000104043
+-0.000537088
+0.00159995
+0.00370005
+0.00582319
+0.00795624
+0.0101129
+0.0122815
+0.0144568
+0.0166362
+0.0188182
+0.021002
+0.0231871
+0.0253731
+0.0275599
+0.0285001
+0.0279194
+0.0275014
+0.027243
+0.0271358
+0.0272052
+0.0274498
+0.0278447
+0.0283908
+0.0290921
+0.0629352
+0.0625511
+0.0622418
+0.0620084
+0.0618518
+0.06177
+0.0617533
+0.0618143
+0.0619527
+0.0621681
+0.0624596
+0.0628262
+0.0632666
+0.0637792
+0.0643623
+0.0650141
+0.0657324
+0.0665152
+0.0673601
+0.0682649
+0.0692273
+0.0690231
+0.0675024
+0.0658708
+0.0642725
+0.0627099
+0.0611848
+0.0597001
+0.0582598
+0.0568675
+0.0555268
+0.0542414
+0.0530154
+0.051853
+0.0507585
+0.0497366
+0.0487889
+0.0479089
+0.0471144
+0.0464098
+0.0457992
+0.0452864
+0.0448749
+0.0442248
+0.0421858
+0.0400098
+0.0378355
+0.0356632
+0.0334932
+0.0313262
+0.0291626
+0.0270035
+0.0248499
+0.0227034
+0.0205661
+0.0184415
+0.0163343
+0.0142523
+0.0122004
+0.0101475
+0.00814847
+0.00615417
+0.00427899
+0.00278021
+0.00198552
+0.00181506
+0.00227688
+0.00241255
+0.00204127
+0.00222351
+0.00214468
+0.00198544
+0.00222972
+0.00313274
+0.00221486
+0.00171428
+0.00141198
+0.00242627
+0.00417498
+0.00617184
+0.00825074
+0.0103462
+0.0124743
+0.014621
+0.016779
+0.0189446
+0.0211153
+0.0232898
+0.025467
+0.0276464
+0.0297309
+0.0291747
+0.0287749
+0.028527
+0.0284246
+0.0284909
+0.0287246
+0.0290992
+0.0296222
+0.030295
+0.0645766
+0.0642024
+0.0639011
+0.0636737
+0.0635212
+0.0634416
+0.0634253
+0.0634847
+0.0636195
+0.0638293
+0.0641132
+0.0644704
+0.0648996
+0.0653995
+0.0659683
+0.0666043
+0.0673057
+0.0680704
+0.0688962
+0.0697811
+0.0707228
+0.0693416
+0.067787
+0.0661624
+0.0645713
+0.0630162
+0.0614987
+0.0600217
+0.0585893
+0.0572051
+0.0558724
+0.0545951
+0.0533773
+0.0522229
+0.0511364
+0.0501222
+0.049182
+0.0483091
+0.0475213
+0.0468228
+0.0462176
+0.0457096
+0.0453019
+0.0446291
+0.0424653
+0.0403044
+0.0381468
+0.0359933
+0.0338445
+0.0317015
+0.0295654
+0.027438
+0.0253214
+0.0232185
+0.0211288
+0.0190304
+0.0169553
+0.0149133
+0.012908
+0.010955
+0.00906956
+0.00727697
+0.00572635
+0.00459285
+0.0040621
+0.00398818
+0.00430914
+0.0044597
+0.00419378
+0.00432848
+0.00430244
+0.00411939
+0.00419603
+0.00487631
+0.00421426
+0.00379545
+0.00359606
+0.0041738
+0.005464
+0.00711374
+0.00899027
+0.0109838
+0.0130377
+0.0151045
+0.017202
+0.0193202
+0.0214529
+0.0235963
+0.0257476
+0.0279051
+0.0300674
+0.0305304
+0.0301486
+0.0299046
+0.029807
+0.0298702
+0.0300931
+0.0304584
+0.0309585
+0.0316028
+0.0662495
+0.0658847
+0.0655911
+0.0653697
+0.0652211
+0.065144
+0.0651281
+0.065186
+0.0653173
+0.0655216
+0.0657982
+0.0661463
+0.0665647
+0.0670521
+0.0676071
+0.0682278
+0.0689127
+0.0696597
+0.0704669
+0.0713324
+0.0711967
+0.0697275
+0.0681409
+0.066525
+0.0649427
+0.0633967
+0.0618885
+0.060421
+0.0589984
+0.057624
+0.0563012
+0.0550339
+0.053826
+0.0526815
+0.0516046
+0.0505997
+0.0496686
+0.0488044
+0.0480247
+0.0473336
+0.0467351
+0.0462328
+0.0458297
+0.0450002
+0.0428551
+0.0407148
+0.0385802
+0.0364523
+0.0343323
+0.0322217
+0.0301193
+0.0280091
+0.0259122
+0.0238322
+0.021774
+0.0197442
+0.0177335
+0.0157694
+0.0138734
+0.012054
+0.010315
+0.00877125
+0.00747901
+0.00659292
+0.00621378
+0.00616769
+0.0064161
+0.00657176
+0.00637232
+0.00648207
+0.00647859
+0.00627388
+0.00630225
+0.0067812
+0.00631432
+0.00594209
+0.00578463
+0.00619516
+0.00717958
+0.00851707
+0.0101458
+0.011948
+0.0138626
+0.0158488
+0.0178829
+0.0199308
+0.0220045
+0.0240989
+0.026209
+0.0283313
+0.0304634
+0.0319766
+0.0316122
+0.0313743
+0.0312813
+0.0313415
+0.0315541
+0.0319102
+0.0323879
+0.0330043
+0.0679435
+0.0675879
+0.0673017
+0.0670859
+0.0669412
+0.0668679
+0.0668594
+0.0669157
+0.0670436
+0.0672427
+0.0675123
+0.0678516
+0.0682595
+0.0687349
+0.0692764
+0.0698823
+0.0705511
+0.0712809
+0.07207
+0.0729164
+0.0716396
+0.0701797
+0.068563
+0.0669572
+0.0653854
+0.0638501
+0.062353
+0.0608967
+0.0594854
+0.0581225
+0.0568113
+0.0555557
+0.0543593
+0.0532263
+0.0521607
+0.0511667
+0.0502461
+0.049392
+0.0486217
+0.0479393
+0.0473484
+0.0468526
+0.046455
+0.0454567
+0.0433401
+0.0412313
+0.0391291
+0.0370139
+0.0349081
+0.0328133
+0.0307319
+0.0286668
+0.0266218
+0.0245952
+0.0225904
+0.0206235
+0.0187064
+0.016856
+0.0150806
+0.0133764
+0.0118333
+0.0104868
+0.00940582
+0.00867184
+0.0083857
+0.00835168
+0.00855574
+0.00872245
+0.00855706
+0.00865431
+0.0086606
+0.00843796
+0.008423
+0.00872855
+0.00845976
+0.00811095
+0.00797436
+0.00830288
+0.00906594
+0.0101897
+0.011594
+0.0132085
+0.0149627
+0.0168195
+0.0187486
+0.0207297
+0.0227492
+0.0247855
+0.0268417
+0.0289177
+0.0310094
+0.033114
+0.033156
+0.0329243
+0.0328357
+0.032893
+0.0330956
+0.0334408
+0.0338987
+0.0344882
+0.0696648
+0.069318
+0.0690391
+0.0688287
+0.0686877
+0.0686163
+0.0686148
+0.0686717
+0.0687964
+0.0689904
+0.0692532
+0.069584
+0.0699819
+0.0704456
+0.070974
+0.0715656
+0.0722188
+0.072932
+0.0737034
+0.0736325
+0.0721463
+0.0706781
+0.069052
+0.0674579
+0.0658981
+0.064375
+0.0628903
+0.0614467
+0.0600484
+0.0586986
+0.0574006
+0.0561581
+0.0549749
+0.0538548
+0.0528018
+0.0518202
+0.0509114
+0.0500687
+0.0493089
+0.0486361
+0.0480538
+0.0475654
+0.0471737
+0.0459694
+0.0438776
+0.0417959
+0.0397236
+0.0376419
+0.0355732
+0.03352
+0.0314854
+0.0294612
+0.0274621
+0.0254946
+0.0235664
+0.0216882
+0.019874
+0.0181314
+0.0164515
+0.0149049
+0.0135354
+0.0123331
+0.0114137
+0.0107939
+0.0105631
+0.0105249
+0.010716
+0.010886
+0.0107442
+0.010834
+0.0107896
+0.010566
+0.0105097
+0.0107698
+0.0106069
+0.010288
+0.0101645
+0.0104322
+0.0110611
+0.0120299
+0.0132405
+0.0146799
+0.0162846
+0.0180057
+0.0198196
+0.0217032
+0.0236397
+0.0256173
+0.027627
+0.0296546
+0.0316978
+0.0337594
+0.0347663
+0.0345437
+0.0344592
+0.0345139
+0.0347071
+0.0350364
+0.0354805
+0.0360441
+0.0714119
+0.0710736
+0.0708016
+0.0705965
+0.0704589
+0.0703893
+0.0703879
+0.0704521
+0.0705736
+0.0707628
+0.071019
+0.0713416
+0.0717298
+0.0721823
+0.0726981
+0.0732757
+0.0739138
+0.0746108
+0.075365
+0.0741903
+0.0727156
+0.07122
+0.0696066
+0.0680255
+0.066479
+0.0649695
+0.0634987
+0.0620693
+0.0606853
+0.05935
+0.0580665
+0.0568386
+0.0556698
+0.054564
+0.053525
+0.0525569
+0.051661
+0.0508308
+0.0500826
+0.0494203
+0.0488474
+0.048367
+0.0479819
+0.0465796
+0.0445165
+0.0424662
+0.0404153
+0.0383773
+0.0363535
+0.0343364
+0.0323419
+0.0303745
+0.0284397
+0.0265447
+0.0246987
+0.0229134
+0.021196
+0.0195339
+0.0179855
+0.0165825
+0.0153277
+0.0142771
+0.0134603
+0.0129389
+0.0127169
+0.0126917
+0.0128866
+0.0130504
+0.0129326
+0.0130173
+0.0129392
+0.012705
+0.0126317
+0.0128603
+0.0127456
+0.0124574
+0.0123548
+0.012576
+0.0131187
+0.0139626
+0.0150265
+0.0163091
+0.01777
+0.0193678
+0.0210647
+0.0228459
+0.024693
+0.0265923
+0.0285334
+0.0305084
+0.032511
+0.0345321
+0.0364356
+0.0362232
+0.0361427
+0.0361948
+0.0363791
+0.0366934
+0.0371243
+0.0376633
+0.0731828
+0.0728528
+0.0725874
+0.0723874
+0.0722532
+0.0721854
+0.072184
+0.072249
+0.0723736
+0.072558
+0.0728079
+0.0731227
+0.0735014
+0.0739431
+0.0744466
+0.0750108
+0.0756343
+0.0763155
+0.0763053
+0.0748082
+0.0733459
+0.0718247
+0.0702252
+0.0686583
+0.0671263
+0.0656318
+0.0641762
+0.0627622
+0.0613938
+0.0600742
+0.0588066
+0.0575945
+0.0564414
+0.0553509
+0.054327
+0.0533734
+0.0524819
+0.0516646
+0.0509286
+0.0502772
+0.049714
+0.0492419
+0.0488635
+0.0472835
+0.0452502
+0.043218
+0.0412022
+0.039205
+0.0372266
+0.0352595
+0.0333204
+0.0314143
+0.0295476
+0.0277285
+0.0259667
+0.024269
+0.0226206
+0.0210713
+0.0196444
+0.0183567
+0.0172124
+0.0162798
+0.0155462
+0.015097
+0.0148814
+0.0148655
+0.015063
+0.0152224
+0.0151216
+0.0152028
+0.0151006
+0.014859
+0.0147738
+0.0149777
+0.0148993
+0.0146325
+0.0145453
+0.0147336
+0.0152136
+0.015947
+0.016908
+0.0180574
+0.0193871
+0.0208625
+0.022455
+0.0241338
+0.0258891
+0.0277066
+0.0295747
+0.0314844
+0.0334285
+0.0354015
+0.0373987
+0.037955
+0.0378781
+0.0379279
+0.0381037
+0.0384039
+0.0388074
+0.0393234
+0.0749759
+0.0746538
+0.0743949
+0.0741997
+0.0740689
+0.0740027
+0.0740013
+0.0740647
+0.0741921
+0.0743721
+0.0746159
+0.0749231
+0.0752927
+0.075724
+0.0762158
+0.0767669
+0.0773762
+0.0780423
+0.0769686
+0.0754846
+0.0740356
+0.0724906
+0.0709061
+0.0693546
+0.0678383
+0.0663598
+0.0649205
+0.0635231
+0.0621715
+0.0608688
+0.0596181
+0.0584227
+0.0572863
+0.0562123
+0.0552041
+0.0542525
+0.0533725
+0.052569
+0.0518458
+0.0512062
+0.0506533
+0.0501899
+0.0498188
+0.0480705
+0.0460586
+0.0440638
+0.0420884
+0.0401354
+0.0382056
+0.0362916
+0.0344106
+0.0325684
+0.0307718
+0.0290295
+0.0273477
+0.0257101
+0.0241602
+0.0227161
+0.0213992
+0.0201964
+0.0191623
+0.0183071
+0.0176575
+0.0172506
+0.0170527
+0.0170437
+0.017243
+0.0173991
+0.0173111
+0.0173836
+0.017242
+0.0170224
+0.0169283
+0.0171077
+0.0170625
+0.0168117
+0.0167358
+0.0168997
+0.0173322
+0.0179793
+0.0188564
+0.0198935
+0.0211079
+0.0224706
+0.0239565
+0.025544
+0.0272094
+0.0289441
+0.030737
+0.0325786
+0.0344611
+0.0363782
+0.0383245
+0.0397257
+0.0396523
+0.0396998
+0.0398679
+0.0401533
+0.0405349
+0.0410292
+0.0767897
+0.0764752
+0.0762224
+0.076032
+0.0759043
+0.0758397
+0.0758383
+0.0759002
+0.0760251
+0.0762012
+0.0764392
+0.076739
+0.0771
+0.0775212
+0.0780017
+0.0785403
+0.079136
+0.0791913
+0.077688
+0.0762179
+0.0747832
+0.0732159
+0.0716475
+0.0701124
+0.0686129
+0.0671514
+0.0657295
+0.0643497
+0.0630158
+0.0617308
+0.060498
+0.0593204
+0.0582015
+0.0571435
+0.0561383
+0.0552014
+0.0543368
+0.0535479
+0.052838
+0.0522105
+0.0516684
+0.0512142
+0.0508505
+0.0489305
+0.0469555
+0.0450004
+0.043068
+0.0411615
+0.0392824
+0.0374236
+0.0356024
+0.0338252
+0.0320991
+0.0304264
+0.0288014
+0.0272512
+0.0257941
+0.0244467
+0.0232103
+0.0221002
+0.0211496
+0.0203679
+0.0197861
+0.019408
+0.0192283
+0.0192246
+0.019419
+0.0195788
+0.0195008
+0.0195636
+0.019387
+0.0191823
+0.019091
+0.0192503
+0.0192319
+0.0189935
+0.0189263
+0.0190714
+0.0194635
+0.0200451
+0.0208388
+0.0217952
+0.022909
+0.0241704
+0.0255577
+0.0270514
+0.0286349
+0.0302896
+0.0320073
+0.0337797
+0.0355988
+0.0374576
+0.0393506
+0.0412731
+0.0414589
+0.0415044
+0.0416651
+0.0419383
+0.0423054
+0.0427791
+0.0786226
+0.0783155
+0.0780687
+0.0778828
+0.0777581
+0.077695
+0.0776937
+0.0777542
+0.0778762
+0.0780489
+0.0782813
+0.0785742
+0.0789267
+0.0793382
+0.0798077
+0.0803343
+0.0809167
+0.0799507
+0.0784619
+0.0770067
+0.0755822
+0.0739991
+0.0724476
+0.0709298
+0.069448
+0.0680044
+0.0666007
+0.0652393
+0.063924
+0.0626577
+0.0614434
+0.0602843
+0.059181
+0.0581282
+0.05714
+0.0562198
+0.0553711
+0.0545971
+0.0539011
+0.0532861
+0.052755
+0.0523103
+0.0518284
+0.0498719
+0.0479357
+0.0460223
+0.0441347
+0.0422763
+0.0404494
+0.0386467
+0.036886
+0.0351736
+0.033507
+0.0318887
+0.0303423
+0.0288764
+0.0275055
+0.026239
+0.0250717
+0.0240401
+0.0231648
+0.0224533
+0.0219269
+0.0215721
+0.021407
+0.0214076
+0.0215832
+0.0217608
+0.0216907
+0.0217458
+0.0215413
+0.0213415
+0.0212595
+0.0214026
+0.0214057
+0.0211771
+0.0211169
+0.021247
+0.0215997
+0.0221349
+0.0228561
+0.0237468
+0.024773
+0.0259439
+0.027241
+0.0286471
+0.0301469
+0.0317272
+0.0333731
+0.0350766
+0.0368317
+0.0386312
+0.0404694
+0.0423411
+0.043301
+0.0433445
+0.0434984
+0.0437602
+0.0441135
+0.0445681
+0.0804735
+0.0801734
+0.0799324
+0.0797508
+0.079629
+0.0795675
+0.0795662
+0.0796252
+0.0797444
+0.079914
+0.080141
+0.0804271
+0.0807715
+0.0811737
+0.0816326
+0.0821475
+0.0822679
+0.0807624
+0.0792889
+0.0778491
+0.0764024
+0.0748366
+0.0733028
+0.0718031
+0.0703397
+0.0689148
+0.067531
+0.0661896
+0.0648935
+0.0636465
+0.0624514
+0.0613071
+0.0602118
+0.0591773
+0.0582069
+0.0573039
+0.0564714
+0.0557127
+0.0550308
+0.0544286
+0.0539088
+0.0534737
+0.0528091
+0.0508903
+0.0489943
+0.0471239
+0.0452822
+0.043473
+0.0416947
+0.0399485
+0.0382481
+0.0365905
+0.0349777
+0.0334307
+0.031959
+0.0305723
+0.0292783
+0.0280664
+0.0269766
+0.0260158
+0.0252092
+0.024557
+0.0240678
+0.0237411
+0.0235879
+0.023592
+0.023752
+0.0239444
+0.0238808
+0.0239296
+0.0237022
+0.0235065
+0.0234321
+0.023562
+0.0235825
+0.023362
+0.0233075
+0.0234255
+0.0237458
+0.0242425
+0.0249027
+0.0257332
+0.0266867
+0.0277771
+0.0289922
+0.0303172
+0.0317382
+0.033243
+0.0348206
+0.0364591
+0.0381506
+0.0398907
+0.0416733
+0.0434933
+0.0451742
+0.0452159
+0.0453635
+0.0456146
+0.045955
+0.0463915
+0.082341
+0.0820478
+0.0818122
+0.0816348
+0.0815159
+0.0814557
+0.0814545
+0.0815121
+0.0816285
+0.0817952
+0.082017
+0.0822966
+0.0826332
+0.0830264
+0.0834751
+0.0839787
+0.0831147
+0.0816249
+0.0801672
+0.0787435
+0.0772655
+0.0757175
+0.0742019
+0.0727208
+0.0712762
+0.0698705
+0.0685059
+0.0671851
+0.0659107
+0.0646853
+0.0635118
+0.0623797
+0.0613035
+0.0602878
+0.0593355
+0.0584499
+0.057634
+0.0568909
+0.0562232
+0.0556339
+0.0551255
+0.0547001
+0.053861
+0.0519811
+0.0501264
+0.0482998
+0.0465048
+0.0447343
+0.0429999
+0.0413089
+0.0396669
+0.0380681
+0.0365206
+0.0350418
+0.0336407
+0.0323275
+0.0310813
+0.0299425
+0.0289177
+0.0280235
+0.0272764
+0.0266748
+0.0262133
+0.0259137
+0.0257705
+0.0257775
+0.0259244
+0.0261291
+0.0260709
+0.0261145
+0.0258678
+0.0256759
+0.0256078
+0.0257267
+0.0257618
+0.025548
+0.0254981
+0.025606
+0.0258994
+0.0263636
+0.026972
+0.0277405
+0.0286401
+0.0296587
+0.0307998
+0.0320501
+0.0333974
+0.0348306
+0.0363393
+0.0379147
+0.039547
+0.0412282
+0.0429554
+0.0447231
+0.0465269
+0.0471148
+0.0472565
+0.0474975
+0.0478259
+0.0482455
+0.0842241
+0.0839375
+0.0837072
+0.0835338
+0.0834176
+0.0833588
+0.0833576
+0.0834139
+0.0835277
+0.0836915
+0.0839083
+0.0841816
+0.0845107
+0.0848951
+0.0853341
+0.0855146
+0.0840102
+0.0825365
+0.0810952
+0.079688
+0.0781805
+0.076651
+0.0751542
+0.0736922
+0.0722671
+0.070881
+0.0695363
+0.0682354
+0.066981
+0.0657756
+0.0646219
+0.0635097
+0.062453
+0.0614563
+0.0605225
+0.0596545
+0.0588553
+0.0581277
+0.0574745
+0.0568981
+0.0564011
+0.0559853
+0.0549802
+0.0531398
+0.051327
+0.0495421
+0.0477814
+0.0460576
+0.044375
+0.0427384
+0.0411534
+0.0396119
+0.0381271
+0.036713
+0.0353782
+0.0341112
+0.0329315
+0.0318566
+0.0308922
+0.0300568
+0.0293614
+0.0288034
+0.0283658
+0.0280892
+0.0279544
+0.0279638
+0.0280995
+0.0283081
+0.0282612
+0.0283003
+0.0280359
+0.0278486
+0.0277858
+0.0278955
+0.0279428
+0.0277347
+0.0276887
+0.0277881
+0.0280587
+0.0284952
+0.029059
+0.0297737
+0.0306256
+0.0315803
+0.0326542
+0.0338361
+0.035115
+0.0364807
+0.0379239
+0.039436
+0.0410094
+0.0426363
+0.0443087
+0.0460245
+0.0477791
+0.0490381
+0.0491742
+0.0494059
+0.0497224
+0.050113
+0.0861217
+0.0858414
+0.0856163
+0.0854468
+0.0853332
+0.0852757
+0.0852745
+0.0853296
+0.0854408
+0.0856019
+0.0858138
+0.086081
+0.086403
+0.086779
+0.0872085
+0.0864407
+0.0849527
+0.0834956
+0.0820711
+0.080681
+0.0791455
+0.0776351
+0.0761577
+0.0747153
+0.07331
+0.071944
+0.0706196
+0.069339
+0.0681049
+0.0669198
+0.0657862
+0.0646943
+0.0636572
+0.0626796
+0.0617643
+0.060914
+0.0601316
+0.0594196
+0.0587807
+0.0582173
+0.0577316
+0.0573255
+0.0561625
+0.0543622
+0.0525845
+0.0508347
+0.0491203
+0.0474452
+0.0458135
+0.0442302
+0.0427007
+0.0412143
+0.0397893
+0.0384364
+0.0371523
+0.0359389
+0.0348211
+0.0338014
+0.0328941
+0.0321108
+0.0314609
+0.030934
+0.0305237
+0.0302668
+0.0301392
+0.0301507
+0.0302766
+0.0304612
+0.0304515
+0.0304744
+0.0302059
+0.0300239
+0.0299657
+0.0300674
+0.0301189
+0.0299219
+0.0298794
+0.0299715
+0.0302225
+0.0306286
+0.0311602
+0.0318278
+0.032629
+0.0335348
+0.0345481
+0.0356673
+0.0368827
+0.0381853
+0.0395663
+0.0410179
+0.0425329
+0.0441046
+0.0457269
+0.0473914
+0.0490972
+0.0508396
+0.0511134
+0.0513196
+0.0516179
+0.0519998
+0.0880329
+0.0877588
+0.0875386
+0.0873728
+0.0872617
+0.0872055
+0.0872044
+0.0872582
+0.087367
+0.0875254
+0.0877327
+0.087994
+0.088309
+0.088677
+0.0889127
+0.0874119
+0.0859407
+0.0845006
+0.0830934
+0.0816814
+0.0801588
+0.0786678
+0.0772102
+0.0757879
+0.0744029
+0.0730573
+0.0717534
+0.0704935
+0.0692799
+0.0681152
+0.0670019
+0.0659303
+0.064913
+0.0639546
+0.0630578
+0.0622252
+0.0614594
+0.0607631
+0.0601385
+0.0595879
+0.0591134
+0.0587169
+0.0574034
+0.0556329
+0.0538931
+0.0521872
+0.0505188
+0.0488916
+0.0473098
+0.0457783
+0.0443022
+0.0428687
+0.0415006
+0.0402022
+0.0389605
+0.0378052
+0.0367415
+0.0357747
+0.0349187
+0.0341818
+0.033572
+0.0330695
+0.032686
+0.0324457
+0.0323249
+0.0323381
+0.0324556
+0.0326194
+0.0326103
+0.0326329
+0.0323786
+0.0322013
+0.032147
+0.0322419
+0.0322933
+0.0321097
+0.03207
+0.0321558
+0.03239
+0.0327692
+0.0332729
+0.0338989
+0.0346523
+0.035517
+0.0364752
+0.037537
+0.0386937
+0.0399373
+0.0412597
+0.0426537
+0.0441125
+0.0456299
+0.0472002
+0.0488183
+0.050476
+0.0521723
+0.0530258
+0.0532245
+0.0535123
+0.0538876
+0.0899569
+0.0896887
+0.0894732
+0.089311
+0.0892024
+0.0891474
+0.0891462
+0.0891989
+0.0893053
+0.0894611
+0.089664
+0.0899197
+0.0902279
+0.0905881
+0.0899106
+0.0884267
+0.0869727
+0.08555
+0.0841603
+0.0827217
+0.0812186
+0.0797474
+0.0783099
+0.0769079
+0.0755435
+0.0742186
+0.0729354
+0.0716963
+0.0705034
+0.0693593
+0.0682663
+0.0672151
+0.0662175
+0.0652783
+0.0643999
+0.0635848
+0.0628357
+0.0621547
+0.0615442
+0.0610063
+0.060543
+0.0601559
+0.0586866
+0.0569558
+0.0552576
+0.0535952
+0.051972
+0.0503917
+0.0488586
+0.0473772
+0.0459507
+0.0445695
+0.0432552
+0.0419933
+0.0408063
+0.0397046
+0.0386889
+0.0377719
+0.0369622
+0.0362669
+0.0356927
+0.0352117
+0.0348519
+0.034625
+0.0345111
+0.034526
+0.034636
+0.0347816
+0.034772
+0.0347953
+0.0345535
+0.0343803
+0.0343294
+0.0344182
+0.0344698
+0.0342978
+0.0342607
+0.034341
+0.0345603
+0.034916
+0.0353951
+0.0359842
+0.0366948
+0.03752
+0.0384306
+0.0394397
+0.0405422
+0.0417307
+0.042998
+0.0443374
+0.0457426
+0.0472076
+0.0487271
+0.0502961
+0.0519101
+0.0535616
+0.054959
+0.0551508
+0.0554285
+0.0557909
+0.0918929
+0.0916303
+0.0914194
+0.0912607
+0.0911543
+0.0911005
+0.0910994
+0.0911509
+0.0912551
+0.0914084
+0.0916069
+0.0918573
+0.092159
+0.0924456
+0.0909503
+0.0894836
+0.088047
+0.0866417
+0.0852695
+0.0838063
+0.0823231
+0.080872
+0.0794548
+0.0780734
+0.0767296
+0.0754256
+0.0741633
+0.072945
+0.0717729
+0.0706494
+0.0695766
+0.0685457
+0.0675678
+0.0666476
+0.0657875
+0.0649899
+0.0642571
+0.0635914
+0.0629948
+0.0624694
+0.062017
+0.0616392
+0.0600221
+0.058331
+0.056674
+0.0550544
+0.0534755
+0.0519409
+0.0504549
+0.0490218
+0.0476422
+0.0463114
+0.045035
+0.0438208
+0.0426846
+0.0416296
+0.040661
+0.0397895
+0.0390216
+0.0383637
+0.0378213
+0.0373596
+0.0370206
+0.0368051
+0.0366979
+0.0367142
+0.0368177
+0.0369472
+0.0369371
+0.036961
+0.0367304
+0.03656
+0.0365122
+0.0365958
+0.0366479
+0.0364862
+0.0364513
+0.0365269
+0.0367331
+0.0370679
+0.0375251
+0.0380813
+0.0387535
+0.0395358
+0.0404101
+0.041371
+0.0424233
+0.0435605
+0.0447761
+0.0460638
+0.0474178
+0.0488326
+0.050303
+0.0518243
+0.0533922
+0.0550027
+0.0566485
+0.057096
+0.0573644
+0.0577146
+0.0886831
+0.0872067
+0.0857275
+0.0842792
+0.0828599
+0.0814671
+0.08011
+0.0787905
+0.077429
+0.0760664
+0.0746739
+0.0733205
+0.0720083
+0.0707242
+0.069459
+0.0681717
+0.0668878
+0.0656518
+0.0644666
+0.063335
+0.0622599
+0.0611494
+0.060063
+0.0590251
+0.0580412
+0.0571243
+0.0562763
+0.055323
+0.0543519
+0.05345
+0.0526165
+0.0518582
+0.0511492
+0.0504821
+0.0498659
+0.0492676
+0.0483163
+0.0474091
+0.0465662
+0.0458127
+0.0451436
+0.0445608
+0.0440794
+0.0437026
+0.0434332
+0.0432108
+0.0430967
+0.0430738
+0.0431606
+0.0433581
+0.0436648
+0.0440607
+0.0445158
+0.0450729
+0.0457283
+0.0464778
+0.0473169
+0.048241
+0.0492453
+0.0503125
+0.0509826
+0.0502537
+0.0495889
+0.0489974
+0.0484977
+0.0480578
+0.0476913
+0.0473502
+0.0467671
+0.0462805
+0.0458933
+0.0456082
+0.0454271
+0.0453512
+0.0452253
+0.0451149
+0.0450943
+0.045176
+0.0453634
+0.0456553
+0.0460497
+0.0465439
+0.0471349
+0.047819
+0.0485923
+0.0494507
+0.0503897
+0.0514017
+0.0524809
+0.0536279
+0.0548384
+0.0561084
+0.0573017
+0.0581649
+0.0590968
+0.0600942
+0.0611538
+0.0622724
+0.063447
+0.0646745
+0.0870896
+0.0856348
+0.0841496
+0.0826738
+0.0812302
+0.0798142
+0.0784286
+0.0770803
+0.0757641
+0.0744063
+0.0730225
+0.0716379
+0.0702943
+0.0689941
+0.0677153
+0.0664467
+0.065153
+0.0638835
+0.0626649
+0.0615001
+0.0603924
+0.0593252
+0.0582048
+0.0571463
+0.0561294
+0.0551807
+0.054304
+0.0534294
+0.0524281
+0.0514957
+0.0506318
+0.0498461
+0.0491389
+0.0484442
+0.0478162
+0.0472267
+0.0463614
+0.0454372
+0.044557
+0.0437689
+0.0430732
+0.0424621
+0.0419566
+0.0415605
+0.0412771
+0.0410463
+0.0409261
+0.0409026
+0.0409941
+0.0412019
+0.0415245
+0.0419253
+0.0424033
+0.0429878
+0.0436745
+0.0444586
+0.0453352
+0.0462988
+0.0473387
+0.0484443
+0.0489334
+0.048185
+0.0475024
+0.0468846
+0.0463621
+0.0459118
+0.045528
+0.0452418
+0.0447512
+0.0442423
+0.0438372
+0.0435386
+0.0433489
+0.0432693
+0.0430559
+0.04294
+0.0429188
+0.0430046
+0.0432014
+0.0435078
+0.0439215
+0.0444394
+0.045058
+0.0457732
+0.0465805
+0.0474752
+0.0484526
+0.0494997
+0.0506194
+0.0518076
+0.0530597
+0.0543712
+0.0554324
+0.0563244
+0.0572862
+0.0583145
+0.0594059
+0.0605568
+0.061764
+0.0630243
+0.0854944
+0.0840494
+0.0825896
+0.0810957
+0.0796235
+0.0781849
+0.0767728
+0.0753949
+0.0740562
+0.0727382
+0.0713901
+0.0699835
+0.0686075
+0.0672747
+0.0659872
+0.0647149
+0.0634427
+0.0621421
+0.0608886
+0.0596893
+0.0585473
+0.0574662
+0.0563704
+0.055277
+0.0542387
+0.0532564
+0.0523474
+0.0514914
+0.0505261
+0.0495579
+0.0486647
+0.0478481
+0.047113
+0.0464202
+0.0457796
+0.0451635
+0.0444286
+0.0434818
+0.0425657
+0.04174
+0.0410148
+0.040373
+0.039841
+0.0394238
+0.0391249
+0.0388847
+0.0387578
+0.0387336
+0.0388302
+0.0390496
+0.0393898
+0.0397959
+0.0402992
+0.0409137
+0.0416347
+0.0424565
+0.0433735
+0.0443798
+0.0454539
+0.0466042
+0.0468951
+0.0461276
+0.0454236
+0.0447792
+0.0442319
+0.0437702
+0.0433675
+0.0430696
+0.0427524
+0.0422195
+0.0417948
+0.0414815
+0.0412823
+0.0411275
+0.0408888
+0.0407667
+0.0407449
+0.0408353
+0.0410425
+0.0413649
+0.0417998
+0.0423436
+0.0429924
+0.0437413
+0.0445855
+0.0455194
+0.0465337
+0.0476224
+0.0487852
+0.050017
+0.0513128
+0.0526678
+0.0535876
+0.0545097
+0.055503
+0.0565637
+0.0576882
+0.0588727
+0.0601138
+0.0614079
+0.0839261
+0.0824536
+0.0810137
+0.0795466
+0.0780452
+0.076577
+0.0751437
+0.0737361
+0.0723667
+0.0710385
+0.0697187
+0.0683581
+0.0669498
+0.0655833
+0.0642625
+0.0629807
+0.0617131
+0.06043
+0.0591402
+0.0579047
+0.0567268
+0.0556103
+0.054559
+0.053432
+0.0523688
+0.0513534
+0.0504101
+0.0495458
+0.0486483
+0.047642
+0.0467168
+0.0458664
+0.0451021
+0.044412
+0.0437444
+0.0431129
+0.0425208
+0.0415305
+0.0405948
+0.0397282
+0.0389656
+0.0382954
+0.0377341
+0.0372933
+0.0369771
+0.0367265
+0.0365921
+0.0365672
+0.0366695
+0.0369018
+0.0372616
+0.0376735
+0.0382048
+0.0388525
+0.0396109
+0.0404739
+0.0414348
+0.0424788
+0.0435976
+0.0447957
+0.0448713
+0.044083
+0.0433487
+0.0426825
+0.0421079
+0.0416338
+0.0412102
+0.040899
+0.0406818
+0.0402143
+0.0397681
+0.0394388
+0.0392292
+0.0389763
+0.0387244
+0.0385954
+0.0385729
+0.0386683
+0.0388871
+0.0392272
+0.0396855
+0.040258
+0.0409398
+0.0417256
+0.0426097
+0.0435859
+0.0446392
+0.045773
+0.0469816
+0.0482595
+0.0496012
+0.0508922
+0.0517696
+0.0527236
+0.0537499
+0.0548445
+0.0560035
+0.0572229
+0.058499
+0.0598281
+0.0823861
+0.0808857
+0.0794173
+0.0779828
+0.0764971
+0.0749986
+0.0735349
+0.0721057
+0.0707047
+0.0693447
+0.068028
+0.0667063
+0.0653236
+0.0639224
+0.0625665
+0.0612589
+0.0599835
+0.0587121
+0.0574222
+0.0561488
+0.0549333
+0.0537796
+0.0526918
+0.0516139
+0.0505126
+0.0494743
+0.0484944
+0.0475953
+0.0467301
+0.0457508
+0.0447865
+0.0439044
+0.0431087
+0.0424028
+0.041718
+0.0410768
+0.0405077
+0.0396043
+0.0386477
+0.0377364
+0.0369327
+0.036231
+0.0356373
+0.0351701
+0.0348348
+0.0345724
+0.0344296
+0.0344039
+0.0345126
+0.0347593
+0.0351249
+0.0355594
+0.0361218
+0.0368062
+0.0376059
+0.0385138
+0.039522
+0.0406048
+0.0417738
+0.0430227
+0.0428639
+0.0420498
+0.0412828
+0.0405956
+0.0399911
+0.0394989
+0.0390566
+0.0387289
+0.0385016
+0.0382294
+0.0377598
+0.0374128
+0.0371918
+0.0368297
+0.0365631
+0.0364265
+0.0364031
+0.0365042
+0.0367359
+0.0370957
+0.03758
+0.0381841
+0.0389023
+0.0397284
+0.0406559
+0.0416728
+0.042773
+0.043955
+0.0452122
+0.0465387
+0.0479286
+0.0490722
+0.0499816
+0.050969
+0.05203
+0.0531601
+0.054355
+0.0556106
+0.0569228
+0.0582878
+0.0807998
+0.0793472
+0.0778498
+0.0763859
+0.074952
+0.0734517
+0.0719565
+0.0704976
+0.0690722
+0.0676794
+0.0663297
+0.0650257
+0.0637022
+0.0622941
+0.060902
+0.0595579
+0.0582652
+0.056997
+0.0557217
+0.0544245
+0.0531696
+0.0519768
+0.0508504
+0.0497949
+0.0486841
+0.0476157
+0.0466029
+0.0456666
+0.0448178
+0.0438874
+0.0428812
+0.0419652
+0.0411322
+0.040395
+0.0397091
+0.0390574
+0.0384585
+0.0377069
+0.0367175
+0.0357679
+0.0349189
+0.0341824
+0.0335524
+0.0330559
+0.0326988
+0.0324232
+0.0322709
+0.0322443
+0.0323603
+0.0326232
+0.0329929
+0.0334552
+0.0340524
+0.0347775
+0.0356228
+0.0365799
+0.037629
+0.038764
+0.0399869
+0.0412899
+0.0408753
+0.0400207
+0.0392304
+0.0385184
+0.0378827
+0.0373628
+0.0369074
+0.0365604
+0.0363226
+0.0362102
+0.0357729
+0.0354064
+0.0351067
+0.0346887
+0.0344055
+0.0342603
+0.034236
+0.0343435
+0.0345897
+0.0349716
+0.0354849
+0.036124
+0.0368823
+0.0377527
+0.038727
+0.0397881
+0.040939
+0.0421724
+0.0434812
+0.0448589
+0.0462992
+0.0472837
+0.0482269
+0.0492494
+0.0503466
+0.0515137
+0.0527459
+0.0540389
+0.0553883
+0.0567808
+0.0792392
+0.077769
+0.076313
+0.0748191
+0.0733601
+0.0719226
+0.0704108
+0.0689193
+0.0674659
+0.0660448
+0.064661
+0.0633227
+0.0620329
+0.060698
+0.0592717
+0.0578898
+0.056559
+0.0552812
+0.0540114
+0.0527349
+0.0514387
+0.0502048
+0.0490377
+0.0479424
+0.0468867
+0.0457764
+0.0447387
+0.0437625
+0.0428761
+0.0420003
+0.0410045
+0.0400458
+0.0391782
+0.038404
+0.0377203
+0.0370455
+0.0364257
+0.0358388
+0.0348006
+0.0338266
+0.0329276
+0.0321526
+0.031482
+0.0309522
+0.0305706
+0.0302799
+0.0301168
+0.0300892
+0.0302134
+0.0304949
+0.0308692
+0.0313628
+0.031999
+0.0327696
+0.0336654
+0.0346746
+0.0357692
+0.0369614
+0.0382419
+0.0396024
+0.0389084
+0.0380096
+0.0371937
+0.0364499
+0.0357842
+0.0352333
+0.0347633
+0.0343947
+0.0341452
+0.0340256
+0.0338112
+0.0334232
+0.0329993
+0.0325543
+0.0322523
+0.0320974
+0.0320721
+0.0321868
+0.0324494
+0.0328562
+0.033402
+0.0340801
+0.0348829
+0.0358019
+0.0368219
+0.0379363
+0.0391417
+0.0404299
+0.0417933
+0.0432248
+0.0446378
+0.0455304
+0.0465091
+0.0475686
+0.0487037
+0.0499091
+0.05118
+0.0525116
+0.0538906
+0.0553146
+0.0776911
+0.0762093
+0.0747437
+0.0732842
+0.0717941
+0.0703406
+0.0688993
+0.0673752
+0.0658877
+0.0644405
+0.0630242
+0.0616504
+0.0603249
+0.0590509
+0.0576786
+0.0562576
+0.0548873
+0.0535714
+0.0523015
+0.0510277
+0.0497441
+0.0484671
+0.0472571
+0.0461195
+0.0450597
+0.0439693
+0.0428954
+0.0418865
+0.0409595
+0.0401055
+0.03916
+0.0381554
+0.0372506
+0.0364354
+0.0357319
+0.0350425
+0.0344123
+0.0338679
+0.032918
+0.0319157
+0.0309633
+0.0301382
+0.0294289
+0.0288615
+0.0284518
+0.028144
+0.0279684
+0.0279396
+0.0280733
+0.028368
+0.0287556
+0.0292848
+0.0299652
+0.0307868
+0.0317385
+0.0327937
+0.033949
+0.0352028
+0.036545
+0.0379663
+0.0369666
+0.0360195
+0.0351756
+0.0343907
+0.0336974
+0.0331118
+0.0326254
+0.0322324
+0.0319696
+0.0318418
+0.0318153
+0.0314675
+0.0309035
+0.0304279
+0.0301046
+0.0299385
+0.0299121
+0.0300351
+0.0303162
+0.0307513
+0.0313338
+0.0320557
+0.0329079
+0.0338793
+0.0349502
+0.0361224
+0.0373863
+0.038733
+0.0401541
+0.041642
+0.0428882
+0.0438164
+0.0448325
+0.0459307
+0.0471053
+0.0483506
+0.0496614
+0.0510247
+0.0524351
+0.0538976
+0.0761596
+0.0746639
+0.0731852
+0.0717247
+0.0702614
+0.0687756
+0.0673282
+0.0658678
+0.0643455
+0.0628627
+0.0614215
+0.0600115
+0.058649
+0.0573378
+0.0560715
+0.0546645
+0.0532531
+0.0518959
+0.0505972
+0.0493365
+0.0480585
+0.0467674
+0.0455123
+0.0443299
+0.0432263
+0.0421985
+0.0410784
+0.040038
+0.0390717
+0.0382021
+0.0373046
+0.0362987
+0.0353481
+0.0344936
+0.0337497
+0.0330634
+0.0324218
+0.0318488
+0.0310659
+0.0300133
+0.0290315
+0.0281498
+0.0273972
+0.0267868
+0.0263449
+0.0260171
+0.0258271
+0.0257919
+0.0259367
+0.026248
+0.0266544
+0.0272245
+0.0279551
+0.0288339
+0.029843
+0.0309534
+0.0321749
+0.0334952
+0.0349032
+0.0361551
+0.0350543
+0.034054
+0.0331633
+0.0323461
+0.0316229
+0.031
+0.0304951
+0.0300742
+0.0297962
+0.029659
+0.0296265
+0.0294867
+0.0288219
+0.0283113
+0.0279636
+0.0277847
+0.0277569
+0.0278894
+0.028192
+0.0286593
+0.0292834
+0.0300547
+0.030962
+0.0319855
+0.0331177
+0.0343525
+0.0356792
+0.0370879
+0.0385696
+0.0401163
+0.0411808
+0.0421466
+0.043202
+0.0443407
+0.0455562
+0.0468428
+0.0481876
+0.0495819
+0.0510322
+0.0525338
+0.0746577
+0.0731349
+0.0716428
+0.0701675
+0.0687127
+0.0672455
+0.0657645
+0.0643239
+0.0628418
+0.0613227
+0.0598452
+0.0584089
+0.057008
+0.0556582
+0.0543631
+0.0530913
+0.0516602
+0.05026
+0.0489178
+0.0476387
+0.0463761
+0.0451065
+0.0438075
+0.0425778
+0.0414275
+0.0403635
+0.0392995
+0.0382101
+0.037215
+0.0363031
+0.0354244
+0.0344706
+0.0334792
+0.0325834
+0.0317948
+0.0311127
+0.030449
+0.0298483
+0.0292495
+0.0281529
+0.0271346
+0.0261937
+0.0253919
+0.024732
+0.0242527
+0.0239018
+0.0236949
+0.0236509
+0.0238087
+0.0241353
+0.0245688
+0.0251862
+0.0259741
+0.0269178
+0.0279803
+0.0291617
+0.0304551
+0.0318468
+0.0333245
+0.0343272
+0.0331743
+0.0321176
+0.0311716
+0.0303219
+0.0295589
+0.0288998
+0.0283739
+0.027921
+0.0276255
+0.0274775
+0.0274379
+0.0274608
+0.0267576
+0.0262069
+0.0258308
+0.0256371
+0.0256078
+0.0257513
+0.0260787
+0.0265832
+0.0272549
+0.0280819
+0.0290486
+0.0301319
+0.0313312
+0.0326337
+0.0340274
+0.0355017
+0.037047
+0.0386139
+0.0395211
+0.0405265
+0.041623
+0.0428037
+0.0440616
+0.0453847
+0.0467599
+0.0481955
+0.0496862
+0.0512273
+0.0731904
+0.0716365
+0.0701167
+0.0686286
+0.0671571
+0.0657087
+0.0642374
+0.0627619
+0.0613291
+0.0598232
+0.0583077
+0.0568363
+0.0554051
+0.0540152
+0.0526798
+0.0514031
+0.0501108
+0.0486677
+0.0472804
+0.0459557
+0.0446952
+0.0434149
+0.0421477
+0.0408681
+0.0396683
+0.0385557
+0.0375381
+0.0364222
+0.0353769
+0.0344389
+0.033578
+0.032661
+0.0316477
+0.0307106
+0.0298726
+0.0291754
+0.0284877
+0.0278763
+0.0273691
+0.0263378
+0.0252521
+0.0242776
+0.0234199
+0.0227027
+0.0221797
+0.0217994
+0.0215689
+0.02152
+0.0216933
+0.0220291
+0.0225033
+0.0231757
+0.0240297
+0.0250375
+0.0261684
+0.027428
+0.0287993
+0.0302672
+0.0318184
+0.0325328
+0.0313257
+0.030216
+0.0292085
+0.0283225
+0.0275145
+0.0268142
+0.0262579
+0.0257742
+0.0254582
+0.0252976
+0.0252497
+0.0252704
+0.0247152
+0.0241179
+0.0237087
+0.0234974
+0.0234663
+0.0236228
+0.0239793
+0.024527
+0.0252535
+0.0261439
+0.0271713
+0.0283266
+0.0295991
+0.0309745
+0.0324396
+0.0339829
+0.0355941
+0.0369687
+0.0379153
+0.0389622
+0.0401015
+0.0413257
+0.0426226
+0.0439751
+0.0453931
+0.0468705
+0.0484021
+0.0499828
+0.0717601
+0.0701746
+0.0686223
+0.0671057
+0.0656222
+0.064155
+0.0627138
+0.0612383
+0.059769
+0.0583402
+0.0568131
+0.055302
+0.0538375
+0.0524123
+0.0510349
+0.049716
+0.0484602
+0.0471149
+0.0456893
+0.0443171
+0.0430126
+0.0417646
+0.04047
+0.0392055
+0.0379532
+0.0367888
+0.0357209
+0.0346807
+0.0335811
+0.032592
+0.0317135
+0.030809
+0.029846
+0.0288768
+0.02799
+0.0272446
+0.0265622
+0.0259394
+0.0254028
+0.0245623
+0.0234233
+0.0224042
+0.0214757
+0.0207064
+0.0201315
+0.0197118
+0.0194566
+0.0194023
+0.0195933
+0.0199411
+0.0204637
+0.0212009
+0.0221312
+0.0232026
+0.0244187
+0.0257639
+0.0272193
+0.0287679
+0.0303957
+0.0307721
+0.0295239
+0.0283448
+0.0272801
+0.0263425
+0.0254854
+0.0247452
+0.0241429
+0.0236354
+0.023295
+0.0231197
+0.023062
+0.0230801
+0.0227004
+0.0220486
+0.0216002
+0.0213681
+0.0213348
+0.0215068
+0.0218978
+0.0224962
+0.0232862
+0.0242451
+0.0253445
+0.0265792
+0.0279315
+0.029385
+0.0309255
+0.0325407
+0.0342199
+0.0353828
+0.0363707
+0.0374607
+0.0386444
+0.0399099
+0.041235
+0.0426315
+0.0440927
+0.0456123
+0.0471848
+0.0488049
+0.070326
+0.0687513
+0.0671661
+0.0656159
+0.064103
+0.0626247
+0.0611626
+0.0597295
+0.0582495
+0.0567874
+0.055338
+0.0538131
+0.052307
+0.0508507
+0.0494325
+0.0480696
+0.0467696
+0.045538
+0.044133
+0.0427248
+0.0413735
+0.040093
+0.0388191
+0.0375497
+0.0362878
+0.0350682
+0.0339462
+0.0329319
+0.0318349
+0.0307896
+0.0298585
+0.0289869
+0.0280997
+0.0270728
+0.026155
+0.0253557
+0.0246805
+0.0240395
+0.0234731
+0.0228491
+0.0216618
+0.0205555
+0.0195735
+0.0187535
+0.0181167
+0.0176491
+0.0173636
+0.0173028
+0.0175087
+0.0178777
+0.0184588
+0.0192698
+0.0202708
+0.0214347
+0.0227455
+0.024184
+0.0257288
+0.027362
+0.0290686
+0.0290699
+0.0277658
+0.0265215
+0.0253921
+0.0243842
+0.023483
+0.0226902
+0.0220426
+0.0215071
+0.0211344
+0.0209445
+0.0208749
+0.0208898
+0.0207203
+0.0200041
+0.0195088
+0.0192515
+0.0192166
+0.0194075
+0.0198398
+0.0204984
+0.0213624
+0.0223938
+0.0235796
+0.0249021
+0.0263406
+0.0278772
+0.0294965
+0.0311858
+0.0329342
+0.0338644
+0.0348953
+0.03603
+0.0372571
+0.0385492
+0.0399195
+0.0413604
+0.042865
+0.0444266
+0.0460395
+0.0476986
+0.0688189
+0.0673194
+0.0657507
+0.0641663
+0.0626184
+0.0611098
+0.0596375
+0.0581812
+0.0567574
+0.0552728
+0.0538171
+0.052347
+0.0508248
+0.0493248
+0.0478764
+0.0464681
+0.045122
+0.0438442
+0.0426217
+0.0411684
+0.0397758
+0.0384541
+0.0372022
+0.0358983
+0.0346604
+0.0334027
+0.0322228
+0.0311524
+0.0301424
+0.0290408
+0.0280518
+0.0271822
+0.0262945
+0.0253247
+0.0243707
+0.0235109
+0.0228296
+0.0221608
+0.0215832
+0.0211442
+0.0199693
+0.0187805
+0.0177378
+0.0168349
+0.0161465
+0.0156214
+0.0152981
+0.015229
+0.0154518
+0.0158485
+0.0164933
+0.0173784
+0.0184821
+0.0197517
+0.0211669
+0.0227057
+0.0243445
+0.0260645
+0.0278468
+0.027437
+0.0260514
+0.0247579
+0.023544
+0.0224689
+0.0215172
+0.020663
+0.0199618
+0.0193927
+0.0189785
+0.0187728
+0.0186886
+0.0186997
+0.018778
+0.0179846
+0.017432
+0.0171435
+0.0171167
+0.0173307
+0.0178135
+0.0185442
+0.019489
+0.0206092
+0.0218919
+0.0233103
+0.0248412
+0.0264649
+0.0281656
+0.0299301
+0.0314528
+0.0324127
+0.0334885
+0.0346696
+0.0359298
+0.0372676
+0.0386833
+0.0401686
+0.0417162
+0.0433192
+0.0449719
+0.0466689
+0.0673493
+0.0658163
+0.0643214
+0.0627597
+0.0611762
+0.0596311
+0.0581276
+0.0566622
+0.0552126
+0.0537994
+0.0523098
+0.0508561
+0.0493692
+0.0478505
+0.0463577
+0.0449164
+0.0435224
+0.0421961
+0.0409441
+0.0396719
+0.0382248
+0.0368513
+0.0355597
+0.0343072
+0.0330097
+0.031801
+0.0305593
+0.0294285
+0.0284191
+0.0273556
+0.0263036
+0.0253742
+0.024497
+0.0236455
+0.0226337
+0.0217304
+0.0209914
+0.0203436
+0.0197334
+0.0192745
+0.018345
+0.0171021
+0.01598
+0.0149841
+0.0142045
+0.0136442
+0.0132728
+0.0131931
+0.0134298
+0.013852
+0.0145709
+0.0155657
+0.0167889
+0.0181772
+0.0197059
+0.0213502
+0.0230837
+0.0248859
+0.0267462
+0.0258867
+0.0244132
+0.023054
+0.0217596
+0.0206021
+0.0195968
+0.0186728
+0.0179058
+0.0172973
+0.0168316
+0.0166062
+0.0165035
+0.0165097
+0.0166841
+0.0160093
+0.015386
+0.0150584
+0.0150392
+0.0152823
+0.0158277
+0.0166458
+0.0176827
+0.0189102
+0.0203005
+0.0218226
+0.0234507
+0.0251644
+0.0269473
+0.0287865
+0.0300278
+0.0310318
+0.0321539
+0.0333822
+0.0346898
+0.0360737
+0.0375344
+0.0390634
+0.0406531
+0.0422965
+0.0439876
+0.0457211
+0.0659198
+0.0643528
+0.0628231
+0.0613335
+0.0597795
+0.0581974
+0.0566558
+0.0551582
+0.0537008
+0.0522591
+0.050844
+0.0493555
+0.047902
+0.0464072
+0.0448929
+0.043409
+0.0419762
+0.0405994
+0.0392966
+0.0380753
+0.0367391
+0.0353078
+0.0339576
+0.0326985
+0.0314252
+0.0301628
+0.028966
+0.0277704
+0.0267013
+0.0256856
+0.0246263
+0.023631
+0.0227686
+0.0218905
+0.0209734
+0.0200314
+0.0192272
+0.0185818
+0.0179604
+0.0174627
+0.0168021
+0.0155146
+0.0143077
+0.0132264
+0.0123459
+0.0117429
+0.0113093
+0.0112156
+0.011422
+0.0119084
+0.0127354
+0.0138625
+0.0152232
+0.0167403
+0.0183819
+0.0201283
+0.0219545
+0.0238422
+0.0257779
+0.0244347
+0.0228678
+0.0214107
+0.0200536
+0.0187937
+0.0177058
+0.0167169
+0.0158729
+0.0152288
+0.0146976
+0.0144469
+0.0143201
+0.0143199
+0.0145207
+0.0140979
+0.0133859
+0.013008
+0.0129858
+0.0132665
+0.0138913
+0.0148168
+0.0159728
+0.0173219
+0.0188299
+0.0204616
+0.0221899
+0.0239938
+0.0258575
+0.027769
+0.0286995
+0.0297484
+0.0309171
+0.0321926
+0.0335472
+0.0349763
+0.036481
+0.0380524
+0.0396825
+0.0413645
+0.0430922
+0.0448604
+0.0645135
+0.0629315
+0.0613663
+0.0598405
+0.058357
+0.056812
+0.0552318
+0.0536944
+0.0522038
+0.0507558
+0.0493234
+0.0478995
+0.04642
+0.04495
+0.0434641
+0.0419557
+0.0404827
+0.0390603
+0.0377043
+0.0364297
+0.0352392
+0.0338358
+0.0324244
+0.0311033
+0.0298796
+0.0285883
+0.0273705
+0.0261907
+0.0250543
+0.0240462
+0.0230179
+0.0219504
+0.0210574
+0.0201769
+0.0193169
+0.0184063
+0.017555
+0.0168641
+0.0162894
+0.0157389
+0.0153543
+0.014053
+0.0127454
+0.0115919
+0.0106113
+0.00992046
+0.00942342
+0.00931076
+0.00949547
+0.0100642
+0.0110304
+0.0123145
+0.0138021
+0.0154453
+0.0172109
+0.0190648
+0.0209838
+0.0229515
+0.0247938
+0.0230768
+0.0214341
+0.0198732
+0.0184133
+0.0170751
+0.0158784
+0.014814
+0.0138873
+0.0131776
+0.0125831
+0.0122986
+0.0121393
+0.0121304
+0.0123668
+0.0122802
+0.0114557
+0.0110118
+0.0109855
+0.011316
+0.0120425
+0.0130992
+0.0143938
+0.0158776
+0.0175104
+0.0192543
+0.0210818
+0.0229729
+0.0249131
+0.0265245
+0.0274819
+0.0285754
+0.0297902
+0.031112
+0.0325122
+0.0339848
+0.0355316
+0.0371432
+0.0388115
+0.0405296
+0.0422915
+0.0440917
+0.0630633
+0.0615291
+0.0599543
+0.0583915
+0.0568702
+0.0553938
+0.0538592
+0.0522815
+0.0507493
+0.049267
+0.04783
+0.0464087
+0.0449757
+0.0435071
+0.042019
+0.0405441
+0.0390433
+0.0375835
+0.0361747
+0.0348442
+0.033604
+0.0324061
+0.0309703
+0.0295843
+0.0283003
+0.0270996
+0.0258116
+0.0246514
+0.0234962
+0.0224373
+0.0214029
+0.0203578
+0.0193916
+0.0185544
+0.0177177
+0.0168623
+0.0159835
+0.0152262
+0.0146559
+0.0141377
+0.0138062
+0.0127075
+0.0113502
+0.0101078
+0.00903642
+0.00821531
+0.00762429
+0.00746767
+0.00771123
+0.00838833
+0.009526
+0.0109526
+0.0125864
+0.0143693
+0.0162522
+0.018204
+0.020205
+0.0222393
+0.0236498
+0.0218507
+0.0201093
+0.0184601
+0.0168983
+0.0154395
+0.0141362
+0.0129748
+0.0119631
+0.0111434
+0.0105
+0.0101462
+0.00996288
+0.00994148
+0.0101972
+0.0106034
+0.00963646
+0.00910433
+0.00907363
+0.00947108
+0.0103281
+0.0115428
+0.0129935
+0.0146201
+0.0163788
+0.0182313
+0.0201517
+0.0221224
+0.0241303
+0.0253917
+0.0263902
+0.0275272
+0.0287862
+0.030152
+0.0315954
+0.0331089
+0.0346947
+0.0363434
+0.0380468
+0.039798
+0.04159
+0.0434181
+0.0616568
+0.0600867
+0.0585565
+0.05699
+0.0554302
+0.0539144
+0.0524463
+0.0509155
+0.0493493
+0.0478236
+0.0463512
+0.0449274
+0.0435195
+0.0420768
+0.0406215
+0.0391139
+0.0376526
+0.0361617
+0.034716
+0.0333274
+0.0320284
+0.0308306
+0.029607
+0.0281541
+0.0268016
+0.02555
+0.0243469
+0.0231168
+0.0220325
+0.0209048
+0.0198855
+0.0188786
+0.0178381
+0.0170115
+0.0161451
+0.0153227
+0.0145475
+0.0137211
+0.0130984
+0.0126512
+0.0123315
+0.0115483
+0.0101583
+0.00883671
+0.00769293
+0.0067765
+0.00606662
+0.00586858
+0.00617912
+0.00700273
+0.00828337
+0.00987299
+0.0116592
+0.0135644
+0.0155408
+0.0175655
+0.0196259
+0.0217118
+0.0225745
+0.020758
+0.0189377
+0.017188
+0.0155174
+0.0139456
+0.01251
+0.0112516
+0.0101086
+0.00918143
+0.00847124
+0.00801188
+0.00779259
+0.00775354
+0.0080271
+0.00851614
+0.0079945
+0.00734435
+0.00731278
+0.00780047
+0.00882134
+0.0102168
+0.0118354
+0.0136013
+0.0154762
+0.0174249
+0.0194105
+0.021434
+0.0234875
+0.0244034
+0.0254407
+0.0266183
+0.0279183
+0.0293246
+0.0308074
+0.0323577
+0.0339786
+0.03566
+0.0373932
+0.0391722
+0.0409911
+0.0428448
+0.0602971
+0.0586907
+0.0571231
+0.0555977
+0.0540407
+0.0524847
+0.0509754
+0.0495171
+0.0479856
+0.0464387
+0.044921
+0.0434607
+0.0420527
+0.0406547
+0.0392084
+0.0377567
+0.0362407
+0.0347966
+0.0333191
+0.0318797
+0.0305221
+0.0292627
+0.0281042
+0.0268216
+0.0253978
+0.0240793
+0.0228762
+0.0216729
+0.0205142
+0.0194663
+0.0184409
+0.0174248
+0.0163844
+0.0154804
+0.0147046
+0.0139179
+0.0131633
+0.0123927
+0.0117202
+0.0113673
+0.0110373
+0.0105888
+0.00922629
+0.0079024
+0.00667925
+0.00568644
+0.00486502
+0.00466861
+0.00506823
+0.0060333
+0.00746083
+0.0091884
+0.0110753
+0.0130575
+0.0150974
+0.0171745
+0.0192767
+0.0213967
+0.0215083
+0.0197906
+0.0179251
+0.0160826
+0.0143205
+0.0126194
+0.0110622
+0.00965465
+0.00838538
+0.00732012
+0.00647298
+0.00591408
+0.00563449
+0.00556777
+0.00587236
+0.00642616
+0.00651339
+0.00580251
+0.00577016
+0.00642369
+0.00763104
+0.00920711
+0.0109642
+0.0128549
+0.0148071
+0.0168138
+0.0188614
+0.0209381
+0.0226673
+0.0235777
+0.0246498
+0.0258634
+0.0271996
+0.0286411
+0.0301583
+0.0317387
+0.033388
+0.0350967
+0.0368564
+0.0386601
+0.040502
+0.0423772
+0.0589875
+0.0573444
+0.055739
+0.0541745
+0.0526548
+0.051109
+0.0495578
+0.0480565
+0.0466079
+0.0450781
+0.043554
+0.0420462
+0.0405956
+0.0392051
+0.0378169
+0.0363777
+0.0349093
+0.0334077
+0.0319792
+0.0305064
+0.0290871
+0.0277655
+0.0265561
+0.0254203
+0.0240916
+0.022708
+0.0214459
+0.020321
+0.0191224
+0.0180642
+0.017076
+0.0160476
+0.0150818
+0.0141241
+0.0134269
+0.0126464
+0.0118686
+0.0112277
+0.0105367
+0.0101697
+0.00994452
+0.00988139
+0.00861321
+0.00735247
+0.00622048
+0.00520426
+0.00436832
+0.00416751
+0.00463811
+0.00569329
+0.00718867
+0.00896881
+0.0108939
+0.0129039
+0.0149647
+0.017058
+0.019173
+0.0213033
+0.0205949
+0.0188219
+0.0171022
+0.0151602
+0.0132955
+0.0115319
+0.00982343
+0.0082806
+0.00684144
+0.0055889
+0.00458984
+0.00388924
+0.00350908
+0.00338836
+0.00373292
+0.00435107
+0.00481085
+0.00457087
+0.0046597
+0.00551069
+0.00688016
+0.0085649
+0.0104307
+0.012403
+0.0144166
+0.0164709
+0.0185564
+0.0206637
+0.0219952
+0.0229324
+0.0240332
+0.0252765
+0.0266421
+0.0281122
+0.0296524
+0.0312584
+0.0329318
+0.0346629
+0.0364436
+0.0382668
+0.0401268
+0.0420186
+0.0576667
+0.0560514
+0.0544078
+0.052804
+0.0512436
+0.0497308
+0.0481938
+0.0466486
+0.0451568
+0.0437186
+0.0421978
+0.0407006
+0.0392002
+0.0377584
+0.0363915
+0.0350232
+0.0335942
+0.0321083
+0.0306257
+0.0292052
+0.0277486
+0.026363
+0.0250888
+0.0239447
+0.0228126
+0.0214618
+0.020136
+0.0189535
+0.0178486
+0.0167555
+0.0158411
+0.0148369
+0.0139038
+0.0129628
+0.0122049
+0.0115467
+0.010841
+0.0103264
+0.00966045
+0.00928168
+0.00914671
+0.00910094
+0.00836372
+0.00730004
+0.00637023
+0.0054772
+0.00471981
+0.00455985
+0.0050185
+0.00603429
+0.00746164
+0.00919444
+0.0110862
+0.0130706
+0.015112
+0.0171903
+0.0192934
+0.020482
+0.0196369
+0.018021
+0.0162824
+0.014488
+0.0125403
+0.0106763
+0.0088754
+0.0072218
+0.00561329
+0.00414661
+0.00289586
+0.00200614
+0.00145613
+0.00123446
+0.00163583
+0.00241611
+0.00307465
+0.00348558
+0.00412121
+0.00520703
+0.00669529
+0.00845826
+0.0103433
+0.0123296
+0.0143535
+0.0164157
+0.0185074
+0.0196868
+0.0209147
+0.0222577
+0.0235598
+0.0248491
+0.0262308
+0.0276898
+0.0292395
+0.030867
+0.0325247
+0.0342045
+0.0359393
+0.0377216
+0.039545
+0.0413678
+0.0563538
+0.0547292
+0.0531261
+0.0514902
+0.0498888
+0.0483336
+0.0468292
+0.0452997
+0.043762
+0.0422819
+0.0408599
+0.0393484
+0.0378802
+0.0363861
+0.0349656
+0.0336278
+0.0322851
+0.0308707
+0.0293629
+0.0278881
+0.0265032
+0.0250705
+0.0237307
+0.0225203
+0.0214574
+0.0203047
+0.018974
+0.0177329
+0.0166599
+0.0155708
+0.0146193
+0.0138098
+0.0128375
+0.0120131
+0.0112392
+0.0106953
+0.0101413
+0.00959435
+0.0090801
+0.00875546
+0.00863077
+0.00859118
+0.00854351
+0.00770174
+0.00695434
+0.00629606
+0.00581912
+0.00568041
+0.00605873
+0.0069362
+0.00825609
+0.00988022
+0.0116653
+0.0135697
+0.0155475
+0.0175743
+0.0196364
+0.0196112
+0.0187268
+0.0173929
+0.0155561
+0.0137595
+0.0120767
+0.0101589
+0.00832683
+0.00659263
+0.00489727
+0.00330316
+0.00173296
+0.000571911
+-0.000364631
+-0.000938494
+-0.000170046
+0.000916595
+0.00194604
+0.00293554
+0.00409648
+0.00545558
+0.00707701
+0.00881409
+0.0106702
+0.012634
+0.0146221
+0.0163525
+0.0173249
+0.0184323
+0.0196669
+0.0208934
+0.0220927
+0.0234359
+0.0248842
+0.0264164
+0.0280132
+0.0296268
+0.0313088
+0.0330504
+0.0348428
+0.0366552
+0.0384384
+0.0402205
+0.0550101
+0.053418
+0.0518104
+0.0502152
+0.0485856
+0.0469966
+0.0454484
+0.0439545
+0.0424345
+0.0409063
+0.0394407
+0.0380377
+0.036533
+0.035097
+0.0336221
+0.0322286
+0.0309276
+0.029618
+0.0282012
+0.0266756
+0.025234
+0.0238975
+0.0225004
+0.0212246
+0.0201017
+0.0190521
+0.0179254
+0.0166801
+0.0155378
+0.0145381
+0.0135913
+0.0128369
+0.0120164
+0.0112815
+0.0105557
+0.0101257
+0.00971996
+0.00926947
+0.0089111
+0.00859172
+0.00846151
+0.00847493
+0.0086208
+0.00845793
+0.00800449
+0.00760363
+0.00725909
+0.00719795
+0.00752051
+0.00828779
+0.0094475
+0.0109044
+0.0125759
+0.014377
+0.0162589
+0.0182101
+0.0200401
+0.0189532
+0.0180192
+0.0169256
+0.0150752
+0.0132331
+0.0114924
+0.00988399
+0.00816982
+0.00640737
+0.00471826
+0.00310543
+0.00175759
+0.000766183
+5.12194e-05
+-0.000180648
+0.000371359
+0.00117285
+0.00223503
+0.00339655
+0.00465144
+0.00607033
+0.00771691
+0.00948238
+0.0113305
+0.0132135
+0.0144172
+0.0152292
+0.0161277
+0.0171549
+0.0183287
+0.0194396
+0.0207233
+0.0221289
+0.0236367
+0.0251702
+0.0267738
+0.0284557
+0.030203
+0.0319985
+0.0337545
+0.0355014
+0.0372952
+0.0391294
+0.0536358
+0.0520844
+0.0505017
+0.0489136
+0.0473222
+0.0457056
+0.0441217
+0.0425917
+0.0411092
+0.0395999
+0.0380886
+0.0366412
+0.0352537
+0.0337671
+0.0323606
+0.0309214
+0.029563
+0.0283091
+0.0270177
+0.0255935
+0.0240872
+0.0226927
+0.0214184
+0.02008
+0.018895
+0.0178938
+0.0168151
+0.0157768
+0.014648
+0.0135829
+0.0128072
+0.0120423
+0.0114964
+0.0107407
+0.0102186
+0.00982574
+0.00957892
+0.00942178
+0.00909476
+0.00886008
+0.00883893
+0.00882733
+0.00896112
+0.00922288
+0.00931389
+0.00910268
+0.00891685
+0.00896222
+0.00924823
+0.0099259
+0.010938
+0.0122309
+0.0137421
+0.0154172
+0.0172086
+0.0190726
+0.019644
+0.0185151
+0.0175247
+0.0160743
+0.0144613
+0.0129762
+0.0112007
+0.00947974
+0.00796572
+0.00661049
+0.00500048
+0.00368001
+0.00277392
+0.00230194
+0.00199229
+0.00198364
+0.00219923
+0.00267157
+0.00351564
+0.00456156
+0.00574257
+0.00709371
+0.00861792
+0.0103369
+0.01214
+0.0128769
+0.0133294
+0.0140738
+0.0148657
+0.0159099
+0.0169364
+0.0181345
+0.0194769
+0.0208946
+0.0223924
+0.0239816
+0.0256596
+0.0274096
+0.0291412
+0.0308383
+0.0325942
+0.0344001
+0.0362484
+0.0381329
+0.0523165
+0.0507249
+0.0491793
+0.0476083
+0.0460431
+0.0444569
+0.0428561
+0.0412791
+0.0397604
+0.0382991
+0.0368043
+0.0353178
+0.0338938
+0.0325266
+0.031064
+0.0296911
+0.0283022
+0.0269898
+0.0257784
+0.0244935
+0.0230918
+0.0216332
+0.0203066
+0.0191017
+0.01787
+0.0168152
+0.0158314
+0.0148886
+0.0139712
+0.0129319
+0.0121147
+0.0115466
+0.01108
+0.010557
+0.0101719
+0.00984443
+0.00985393
+0.0098529
+0.0096994
+0.00952666
+0.00952258
+0.00951068
+0.0096454
+0.00992921
+0.010238
+0.0107327
+0.0107159
+0.0108166
+0.011134
+0.0117193
+0.0126125
+0.0137764
+0.0151371
+0.0166727
+0.0183419
+0.0201114
+0.0194807
+0.0183037
+0.0171254
+0.0153478
+0.0136442
+0.0120644
+0.0106387
+0.00914579
+0.0076069
+0.00621182
+0.0051959
+0.00473606
+0.00425994
+0.00412441
+0.00410331
+0.00416721
+0.00428583
+0.00459712
+0.00520915
+0.00612998
+0.0072231
+0.00844046
+0.00984546
+0.0114323
+0.011799
+0.0119236
+0.0123336
+0.0128991
+0.0137463
+0.0146219
+0.0157106
+0.0169534
+0.0182632
+0.0197104
+0.0212744
+0.0229356
+0.0246119
+0.026261
+0.0279612
+0.0297257
+0.0315436
+0.0333968
+0.0352412
+0.0370885
+0.0510571
+0.049425
+0.0478374
+0.0462992
+0.0447423
+0.0431953
+0.0416249
+0.0400435
+0.038476
+0.0369719
+0.035535
+0.034061
+0.0326013
+0.031212
+0.029872
+0.0284416
+0.027113
+0.0257895
+0.0245379
+0.0233618
+0.0220525
+0.0207418
+0.0193648
+0.0181199
+0.017031
+0.0159112
+0.0149954
+0.0140752
+0.013305
+0.0125484
+0.0117942
+0.0111852
+0.0108173
+0.0105503
+0.0104307
+0.0102296
+0.0103033
+0.0105234
+0.0106261
+0.0105261
+0.0105256
+0.0105535
+0.0107017
+0.0108654
+0.0111483
+0.0116879
+0.0124683
+0.0127496
+0.0130837
+0.0136152
+0.0144259
+0.0154539
+0.0167039
+0.0181071
+0.0196548
+0.0207974
+0.019545
+0.0182973
+0.0166806
+0.0148417
+0.0130801
+0.0114327
+0.00995075
+0.00826259
+0.00653064
+0.00482651
+0.00346839
+0.00295974
+0.00365067
+0.00523684
+0.00626533
+0.00635536
+0.00644071
+0.00666039
+0.00714397
+0.00790458
+0.00893152
+0.0100288
+0.0113069
+0.0113659
+0.0111413
+0.0111296
+0.0113496
+0.0118836
+0.012578
+0.0135089
+0.0145543
+0.015759
+0.01716
+0.0186758
+0.0202304
+0.0218237
+0.0234364
+0.0251367
+0.026908
+0.0287152
+0.0305375
+0.0323597
+0.0342222
+0.0360878
+0.0498619
+0.0481896
+0.04656
+0.044978
+0.043449
+0.0419094
+0.0403727
+0.038832
+0.0372762
+0.0357216
+0.0342367
+0.0328183
+0.0313839
+0.0299539
+0.0286145
+0.0272798
+0.0259244
+0.0246475
+0.0233853
+0.0222005
+0.0210843
+0.0197827
+0.0185974
+0.0173369
+0.0162075
+0.0152586
+0.0143017
+0.013439
+0.0127465
+0.0122523
+0.0116333
+0.0111887
+0.0109299
+0.0107789
+0.0108098
+0.0109876
+0.0110712
+0.0114561
+0.0116306
+0.0117698
+0.0117777
+0.0117237
+0.0118574
+0.0121213
+0.0122279
+0.0126278
+0.0133214
+0.0142482
+0.0150751
+0.0155887
+0.0163089
+0.0172468
+0.0183784
+0.0196813
+0.0211139
+0.0206055
+0.0192783
+0.0177126
+0.0159754
+0.0143181
+0.0127696
+0.0111237
+0.00959945
+0.00780553
+0.00594219
+0.00403917
+0.00230367
+0.00152667
+0.002611
+0.00448702
+0.00653405
+0.00786147
+0.00844423
+0.00876763
+0.00918618
+0.00980975
+0.0107352
+0.011754
+0.0116694
+0.0111218
+0.0106353
+0.010448
+0.0105655
+0.0109112
+0.0116637
+0.0124532
+0.0134856
+0.0147606
+0.0161009
+0.0175729
+0.019071
+0.0206902
+0.0223847
+0.02412
+0.0258951
+0.0276899
+0.029522
+0.0314001
+0.0332545
+0.0350778
+0.048672
+0.0470158
+0.0453524
+0.0437268
+0.0421524
+0.0406351
+0.039116
+0.0375935
+0.0360751
+0.034565
+0.0330282
+0.0315686
+0.0301693
+0.0287865
+0.0273944
+0.0261121
+0.0247765
+0.0234882
+0.0223078
+0.0210948
+0.0200008
+0.0189613
+0.0177601
+0.0167249
+0.0155775
+0.0146007
+0.0138612
+0.0130866
+0.0124228
+0.0120744
+0.0116706
+0.0114459
+0.0113272
+0.0113013
+0.011439
+0.0118057
+0.0121285
+0.0125464
+0.0129316
+0.0131963
+0.0132363
+0.0131188
+0.0132332
+0.013405
+0.0134462
+0.013737
+0.0143125
+0.0151573
+0.0161669
+0.0173952
+0.0182541
+0.0191072
+0.020149
+0.021352
+0.0218123
+0.0204342
+0.0190223
+0.0171918
+0.0154056
+0.0136871
+0.0120593
+0.0105818
+0.00920205
+0.0075897
+0.00601937
+0.00415872
+0.0025114
+0.0017955
+0.00278514
+0.00458216
+0.00659482
+0.00776985
+0.0078824
+0.00842917
+0.00864565
+0.00912924
+0.010005
+0.0112269
+0.0118441
+0.0110007
+0.0103754
+0.00993153
+0.00987955
+0.0102192
+0.0106775
+0.0114644
+0.0125008
+0.0137315
+0.0149974
+0.0164383
+0.0180309
+0.0196718
+0.0213673
+0.023112
+0.0248984
+0.0267423
+0.0285863
+0.0303739
+0.0322112
+0.0340904
+0.0474823
+0.0458374
+0.0441941
+0.0425516
+0.040932
+0.0393677
+0.0378656
+0.0363689
+0.0348681
+0.0333762
+0.0318958
+0.0304119
+0.0289862
+0.0276122
+0.026266
+0.0249257
+0.0237125
+0.0224081
+0.0211841
+0.0201075
+0.019013
+0.0180402
+0.0170499
+0.016068
+0.015194
+0.0141954
+0.013477
+0.0129878
+0.0123884
+0.0120731
+0.0120335
+0.0118616
+0.0120389
+0.0121145
+0.0123784
+0.0127422
+0.0133136
+0.0138094
+0.0144133
+0.014722
+0.0147649
+0.0146444
+0.0147731
+0.0147989
+0.0147583
+0.0149791
+0.0154523
+0.0161056
+0.01695
+0.0179746
+0.0191876
+0.0205335
+0.0219765
+0.0230997
+0.0218642
+0.0204574
+0.0187823
+0.0169405
+0.0151241
+0.0133579
+0.0116948
+0.0101689
+0.00863722
+0.00687467
+0.00507997
+0.00339534
+0.00231891
+0.00263028
+0.00400068
+0.00547975
+0.00727389
+0.00673001
+0.00672565
+0.00729367
+0.00734155
+0.00786335
+0.00886207
+0.0102214
+0.0118326
+0.0110577
+0.0101394
+0.00963721
+0.00946243
+0.00947047
+0.00994181
+0.0106467
+0.0115373
+0.0126583
+0.0139975
+0.0154552
+0.0170205
+0.018652
+0.0203851
+0.0221884
+0.0239939
+0.0257426
+0.0275405
+0.0293918
+0.0312869
+0.0332183
+0.0463063
+0.0446793
+0.0430356
+0.0414107
+0.0397913
+0.0381841
+0.0366335
+0.035151
+0.0336812
+0.0322101
+0.0307478
+0.0293056
+0.0278945
+0.0265145
+0.0251745
+0.0238818
+0.0226126
+0.0214605
+0.0202096
+0.0191052
+0.0181689
+0.0172189
+0.0163505
+0.0154706
+0.0147299
+0.0140813
+0.0133568
+0.012884
+0.0125549
+0.0123433
+0.0124162
+0.012587
+0.0127038
+0.0130756
+0.0134822
+0.0139537
+0.0145482
+0.0152511
+0.0158705
+0.0162154
+0.0162644
+0.0161818
+0.0162969
+0.0160274
+0.015933
+0.0160434
+0.0163125
+0.0168511
+0.017624
+0.0186081
+0.0197867
+0.0210642
+0.0224597
+0.0230298
+0.0218736
+0.0204168
+0.0187599
+0.0169648
+0.0150966
+0.0133268
+0.0116601
+0.0101564
+0.00849115
+0.00671211
+0.00488288
+0.00313846
+0.00193069
+0.00229164
+0.00391747
+0.00591943
+0.00676075
+0.00608588
+0.00608106
+0.006531
+0.00647551
+0.00706116
+0.00813648
+0.00959879
+0.0112909
+0.0110978
+0.0102688
+0.00953056
+0.00911812
+0.00912647
+0.00926404
+0.00975137
+0.0106164
+0.0117308
+0.0130343
+0.0144785
+0.0160666
+0.0177722
+0.0194876
+0.0211952
+0.022948
+0.0247668
+0.0266276
+0.0285153
+0.0303761
+0.0322763
+0.045143
+0.0435264
+0.0419122
+0.0402773
+0.0386752
+0.0370683
+0.0354939
+0.0339617
+0.0324913
+0.0310701
+0.0296378
+0.0282146
+0.0268199
+0.0254871
+0.0241747
+0.0228865
+0.0216789
+0.0205076
+0.0194023
+0.0182735
+0.017315
+0.0165365
+0.0157229
+0.0149558
+0.0143515
+0.0138474
+0.0134496
+0.0131305
+0.0129608
+0.0128131
+0.0129623
+0.0133779
+0.0136698
+0.0140371
+0.0146209
+0.0152423
+0.015894
+0.0166672
+0.0173962
+0.0175804
+0.0176258
+0.0178383
+0.0175401
+0.017181
+0.0169764
+0.0169768
+0.0172315
+0.0177485
+0.0184839
+0.0194244
+0.0205379
+0.021741
+0.0230891
+0.0230589
+0.0217213
+0.0203846
+0.0189828
+0.0172067
+0.0153844
+0.0136519
+0.0120303
+0.0105279
+0.0088475
+0.00716154
+0.0054914
+0.00396668
+0.00307194
+0.00333794
+0.00462615
+0.00641049
+0.0058884
+0.00521905
+0.00523514
+0.00551419
+0.00539467
+0.00598669
+0.0071757
+0.00872163
+0.0104996
+0.0114594
+0.0103757
+0.00957389
+0.00893854
+0.00851312
+0.00861223
+0.00902856
+0.00974956
+0.0108036
+0.0121328
+0.0136768
+0.0152455
+0.0168425
+0.0184921
+0.0202377
+0.022041
+0.0238411
+0.0256668
+0.0275459
+0.0294679
+0.031423
+0.0440404
+0.0423885
+0.0407873
+0.0391946
+0.037572
+0.0359985
+0.0344061
+0.0328755
+0.0313543
+0.0299119
+0.0285565
+0.0271553
+0.025805
+0.0244576
+0.0231813
+0.0220112
+0.0207794
+0.0197147
+0.0186604
+0.0176014
+0.0166403
+0.0158796
+0.0152534
+0.0146111
+0.0140497
+0.0137398
+0.0135706
+0.0133925
+0.0134195
+0.013561
+0.0137192
+0.0141912
+0.0147403
+0.0151975
+0.0158324
+0.0165683
+0.0173659
+0.0181268
+0.0189785
+0.0190739
+0.0191408
+0.0192556
+0.0186191
+0.0181862
+0.0179992
+0.0179904
+0.0182312
+0.0186929
+0.0193774
+0.0202474
+0.0212639
+0.0224341
+0.0237492
+0.0230825
+0.0217364
+0.0203797
+0.0189619
+0.0171163
+0.0153617
+0.0137175
+0.0119322
+0.0102704
+0.00860731
+0.00710351
+0.00598814
+0.00548869
+0.00485965
+0.00507679
+0.00601371
+0.00665716
+0.00538393
+0.00464435
+0.00451123
+0.0044077
+0.00421896
+0.00495355
+0.00633662
+0.00804543
+0.00994503
+0.0117556
+0.0105489
+0.00944487
+0.00867876
+0.00818064
+0.00803606
+0.00830096
+0.0090478
+0.0101748
+0.0114705
+0.0128392
+0.0142883
+0.015908
+0.0175793
+0.0192756
+0.0210441
+0.0228833
+0.0247798
+0.0267116
+0.0285852
+0.0305011
+0.0430114
+0.0413286
+0.0396847
+0.0380955
+0.0365325
+0.034932
+0.0333816
+0.0318228
+0.0303273
+0.0288396
+0.02744
+0.0261475
+0.0247959
+0.0235569
+0.022261
+0.0210796
+0.0200289
+0.0189196
+0.017963
+0.0170033
+0.0161342
+0.0153947
+0.014893
+0.0144307
+0.0140061
+0.0137441
+0.0137639
+0.0137745
+0.0139508
+0.014273
+0.0147364
+0.015203
+0.0158967
+0.016547
+0.0171491
+0.0179631
+0.0188187
+0.0196611
+0.0201768
+0.0205643
+0.020638
+0.0202993
+0.0196641
+0.0192435
+0.0190668
+0.019051
+0.0192787
+0.0197217
+0.0203244
+0.0211096
+0.0220805
+0.0232096
+0.0239554
+0.0226788
+0.0214479
+0.0201623
+0.018898
+0.0172817
+0.0155457
+0.0138343
+0.0120314
+0.010323
+0.00860375
+0.00706171
+0.00591515
+0.00541151
+0.00563666
+0.00658834
+0.00657682
+0.00613935
+0.00516804
+0.00458739
+0.00466415
+0.00407148
+0.00387153
+0.0046612
+0.00613675
+0.00787841
+0.00980191
+0.0118188
+0.0107191
+0.00953996
+0.0085798
+0.00795801
+0.00776488
+0.00803644
+0.00865848
+0.00948639
+0.0105592
+0.0118999
+0.013329
+0.0148655
+0.0165501
+0.018339
+0.0201837
+0.0220324
+0.0239029
+0.0257945
+0.0277301
+0.0297012
+0.0420097
+0.040339
+0.0386695
+0.0370388
+0.0354653
+0.0339417
+0.0323732
+0.0308499
+0.0293395
+0.0278834
+0.0264491
+0.0251074
+0.0238896
+0.0226154
+0.0214687
+0.0202869
+0.0191949
+0.0182916
+0.0173171
+0.0165553
+0.0157749
+0.0151444
+0.0146212
+0.0143713
+0.0142021
+0.0140297
+0.0141008
+0.0143971
+0.0146159
+0.0151033
+0.0156435
+0.0163259
+0.0170328
+0.017824
+0.0185985
+0.0194013
+0.0203007
+0.0212466
+0.0215209
+0.0218865
+0.0218967
+0.0214654
+0.020877
+0.0204813
+0.0203143
+0.0202928
+0.020456
+0.0208099
+0.0213834
+0.0220535
+0.0229109
+0.0239235
+0.0236151
+0.0223171
+0.0211306
+0.0199141
+0.0186345
+0.0174265
+0.0160062
+0.0142465
+0.0124645
+0.0107228
+0.00904987
+0.00759779
+0.00654581
+0.00609451
+0.00629355
+0.00715842
+0.00642896
+0.00581672
+0.00467719
+0.00401647
+0.00406174
+0.00398386
+0.00437468
+0.00520633
+0.00658272
+0.00825074
+0.0101036
+0.0120702
+0.0111161
+0.00985965
+0.00875072
+0.00797472
+0.00763441
+0.00757695
+0.00793644
+0.00869341
+0.00968791
+0.0108816
+0.0123343
+0.0139752
+0.0157265
+0.0175311
+0.0193281
+0.0211751
+0.0230824
+0.0250311
+0.0269666
+0.0288993
+0.0410463
+0.0393617
+0.0377292
+0.0360747
+0.0344673
+0.0329167
+0.0314424
+0.0299167
+0.0284305
+0.0269836
+0.0255811
+0.0242194
+0.0229567
+0.0218388
+0.0206706
+0.0196072
+0.0185657
+0.0176409
+0.0168658
+0.0160826
+0.0155515
+0.0150428
+0.0145688
+0.0142987
+0.0142858
+0.0144872
+0.0146799
+0.0150477
+0.0155085
+0.0159859
+0.01671
+0.0174475
+0.018244
+0.0191382
+0.0200335
+0.0208887
+0.0218352
+0.0225874
+0.0229263
+0.0233024
+0.0231498
+0.0226459
+0.022023
+0.0215701
+0.0213257
+0.0212816
+0.0214351
+0.0217263
+0.0221693
+0.022815
+0.0236444
+0.0246211
+0.0234733
+0.022167
+0.0210085
+0.0197928
+0.0185549
+0.0173414
+0.0160518
+0.0149361
+0.0131988
+0.0115081
+0.00996779
+0.00865121
+0.00771625
+0.0073373
+0.00750238
+0.00667956
+0.00613149
+0.00536943
+0.00443024
+0.00432572
+0.00402442
+0.00347024
+0.00382746
+0.00494597
+0.00657219
+0.00844741
+0.0104283
+0.0124795
+0.0115088
+0.01011
+0.0089446
+0.00802752
+0.00728298
+0.00706704
+0.00739393
+0.00784116
+0.00880382
+0.0100829
+0.0116183
+0.013234
+0.0149249
+0.0167038
+0.0185471
+0.020443
+0.022317
+0.0242256
+0.0261773
+0.0281538
+0.0401591
+0.0384568
+0.0367842
+0.0351671
+0.0335613
+0.0319892
+0.0304701
+0.0290369
+0.0275896
+0.0261548
+0.0247822
+0.0234527
+0.0221992
+0.0210435
+0.0200304
+0.0189896
+0.0180061
+0.0171567
+0.0164017
+0.015849
+0.0153296
+0.0149812
+0.0147698
+0.0145289
+0.0145895
+0.0148397
+0.0153208
+0.0157791
+0.0164484
+0.0170686
+0.0177641
+0.0186384
+0.0195155
+0.0204484
+0.0214643
+0.0224257
+0.023358
+0.0238885
+0.0243042
+0.0245681
+0.0244442
+0.0237664
+0.0231261
+0.0226469
+0.0223729
+0.0223113
+0.0224213
+0.0226754
+0.0230887
+0.0236922
+0.0244754
+0.0247462
+0.0235118
+0.0222328
+0.0210779
+0.0199018
+0.0187329
+0.0175183
+0.0162402
+0.0151682
+0.0141868
+0.0126199
+0.0112239
+0.0100536
+0.00926135
+0.00843675
+0.00725249
+0.00647925
+0.0056779
+0.00480661
+0.00366205
+0.00346474
+0.00357666
+0.00374406
+0.00419371
+0.00523373
+0.00679088
+0.00861912
+0.0105679
+0.0125964
+0.0119836
+0.0105573
+0.00912458
+0.00792595
+0.00720851
+0.00686786
+0.00686068
+0.00734048
+0.00830919
+0.00948978
+0.0108737
+0.0124831
+0.0142134
+0.0159584
+0.0177673
+0.019654
+0.0215428
+0.0234812
+0.0254553
+0.0274035
+0.0393357
+0.0376062
+0.035927
+0.0342929
+0.0326854
+0.0311057
+0.029604
+0.0281312
+0.0267521
+0.0253847
+0.0240408
+0.0227711
+0.0215189
+0.0204166
+0.0194383
+0.0185265
+0.0175859
+0.0167622
+0.0161591
+0.0156395
+0.0153388
+0.0151582
+0.0149847
+0.0150625
+0.015121
+0.0154408
+0.0159248
+0.0166249
+0.0173409
+0.0181953
+0.018976
+0.0198324
+0.0208379
+0.0218164
+0.0228266
+0.0239143
+0.0249209
+0.0252229
+0.0257086
+0.0257249
+0.0254702
+0.0246871
+0.0240602
+0.0236
+0.023337
+0.0232303
+0.023261
+0.0233354
+0.0236136
+0.0240886
+0.0245322
+0.0246655
+0.0237375
+0.0225082
+0.0213681
+0.0202139
+0.0191603
+0.0179207
+0.0166734
+0.015635
+0.0147853
+0.0139601
+0.0126823
+0.0109725
+0.00940142
+0.00810083
+0.00693095
+0.00595448
+0.00532868
+0.00434897
+0.00370374
+0.00341392
+0.00314046
+0.00306455
+0.00403251
+0.00568145
+0.00757371
+0.00931718
+0.0111445
+0.0130839
+0.0124327
+0.0108317
+0.00940334
+0.00817642
+0.00735914
+0.00671994
+0.00657915
+0.00692614
+0.007757
+0.00887439
+0.010341
+0.0118065
+0.0134612
+0.015216
+0.0170296
+0.0189184
+0.0208352
+0.0227573
+0.0246855
+0.0266508
+0.0385522
+0.0368513
+0.0351411
+0.0334774
+0.0318738
+0.0303173
+0.0287744
+0.0273203
+0.0259387
+0.0246318
+0.0233291
+0.0220808
+0.0209805
+0.0198589
+0.018909
+0.0180655
+0.0172875
+0.0165577
+0.0159833
+0.015647
+0.0154211
+0.0153482
+0.0154597
+0.0155647
+0.0158606
+0.0162211
+0.0167612
+0.0174466
+0.0183387
+0.0192224
+0.0202108
+0.0211496
+0.0221217
+0.0232145
+0.0238791
+0.024258
+0.0248178
+0.0251456
+0.0253474
+0.0256931
+0.0260141
+0.0257047
+0.0249725
+0.0244156
+0.0240132
+0.0237518
+0.0236534
+0.0237265
+0.0239042
+0.0238738
+0.0234845
+0.0232184
+0.0230867
+0.0229538
+0.0218371
+0.0207538
+0.0197504
+0.0185744
+0.0173742
+0.0163802
+0.015575
+0.0138268
+0.0120387
+0.0103641
+0.00889477
+0.0075444
+0.00652446
+0.00568745
+0.00501037
+0.00355244
+0.00275452
+0.00250265
+0.0020416
+0.00280869
+0.00445153
+0.00598614
+0.00780488
+0.00977058
+0.0118157
+0.0138897
+0.0128028
+0.0112009
+0.00978206
+0.00853202
+0.00739765
+0.00668168
+0.00653399
+0.00682298
+0.00747278
+0.00840923
+0.00969687
+0.0111528
+0.0127952
+0.0144982
+0.0162985
+0.0181846
+0.0201163
+0.0220536
+0.0240226
+0.0260155
+0.0378
+0.0361023
+0.0344231
+0.0327793
+0.0311398
+0.0295717
+0.0280871
+0.0266002
+0.025211
+0.0239256
+0.0227371
+0.0215061
+0.0204013
+0.0194284
+0.0185163
+0.017718
+0.0170325
+0.0164924
+0.0160463
+0.0157603
+0.0156069
+0.0155961
+0.0157788
+0.0161485
+0.0166077
+0.0171031
+0.0177671
+0.018478
+0.0193286
+0.0203487
+0.0213318
+0.0224393
+0.0230005
+0.0230156
+0.0232025
+0.0235922
+0.0237938
+0.0240882
+0.0245117
+0.024869
+0.0251919
+0.0245899
+0.0241592
+0.023832
+0.0236504
+0.023671
+0.0238932
+0.0237216
+0.0232647
+0.0225702
+0.0220449
+0.021707
+0.0215661
+0.0216363
+0.0218946
+0.0215043
+0.0205128
+0.0194542
+0.0183117
+0.0169539
+0.0151012
+0.0132756
+0.0115747
+0.00991408
+0.00836606
+0.00710408
+0.00597466
+0.00530495
+0.00419646
+0.00312474
+0.00274681
+0.00224591
+0.00127448
+0.00217309
+0.00401926
+0.00608317
+0.00821302
+0.0103682
+0.0123598
+0.0143704
+0.0134453
+0.011744
+0.0101546
+0.00877562
+0.00761477
+0.00685239
+0.00654704
+0.00650007
+0.00706227
+0.00791366
+0.00901519
+0.0104046
+0.0120206
+0.0137962
+0.0156195
+0.0174924
+0.0194148
+0.0213883
+0.0234005
+0.025392
+0.0370624
+0.0353911
+0.0337542
+0.0321017
+0.0305171
+0.0289453
+0.0274268
+0.0259923
+0.0246245
+0.0233081
+0.0221255
+0.0210684
+0.0199712
+0.0190126
+0.0182133
+0.0175253
+0.0169428
+0.0164504
+0.0161747
+0.0160052
+0.0158579
+0.0160002
+0.0163142
+0.0167275
+0.0173246
+0.0180591
+0.0187329
+0.01959
+0.0204744
+0.0214574
+0.0225858
+0.022632
+0.0224757
+0.0224544
+0.0226459
+0.0227742
+0.0228958
+0.0231901
+0.0236666
+0.0239798
+0.0231916
+0.0225483
+0.0220721
+0.0217287
+0.0215487
+0.0215713
+0.021815
+0.0222252
+0.0219582
+0.0212245
+0.020665
+0.0203042
+0.0201534
+0.0202285
+0.0203451
+0.0206722
+0.0210407
+0.0198602
+0.0179479
+0.0160443
+0.014208
+0.0124865
+0.0109342
+0.00939873
+0.00798458
+0.00674771
+0.00571549
+0.00479252
+0.00354737
+0.00237097
+0.00162221
+0.00119201
+0.00189979
+0.0028852
+0.00450504
+0.00641814
+0.00846412
+0.0105683
+0.0127017
+0.0148508
+0.0138211
+0.012075
+0.0104532
+0.00899152
+0.00779019
+0.00690665
+0.0062916
+0.0063788
+0.00656922
+0.0072316
+0.00836392
+0.00976196
+0.0113404
+0.0130963
+0.0149509
+0.0168616
+0.0187744
+0.0207364
+0.0227402
+0.0247756
+0.0363989
+0.0347295
+0.0330946
+0.0315201
+0.0299157
+0.0283702
+0.0268882
+0.0254665
+0.0241019
+0.0228453
+0.0216773
+0.0206342
+0.019653
+0.0187617
+0.0180302
+0.0174235
+0.0169866
+0.0166626
+0.0163792
+0.0162993
+0.0163463
+0.0165036
+0.016877
+0.0174525
+0.0181065
+0.0189101
+0.0198162
+0.0206655
+0.0216565
+0.0227072
+0.0226823
+0.0223168
+0.0221188
+0.022097
+0.0221432
+0.022053
+0.0221371
+0.0224216
+0.0225659
+0.0220306
+0.021227
+0.0205292
+0.0200072
+0.0196347
+0.0194616
+0.0194917
+0.0197534
+0.020182
+0.02071
+0.0200123
+0.0194347
+0.0190505
+0.0188488
+0.0187738
+0.0188986
+0.0192503
+0.0192448
+0.0186005
+0.0170078
+0.0152281
+0.0134167
+0.0115961
+0.00990515
+0.00844709
+0.00730251
+0.00613247
+0.00530514
+0.00435587
+0.00313634
+0.00274301
+0.00169402
+0.000498069
+0.00124292
+0.0032345
+0.00537666
+0.00736215
+0.00923959
+0.0112015
+0.0132333
+0.0153079
+0.0142581
+0.0124926
+0.0108736
+0.00935861
+0.00798321
+0.00686618
+0.00622824
+0.00609232
+0.00611441
+0.00667729
+0.00776608
+0.00919282
+0.0107785
+0.0124907
+0.0143088
+0.0162193
+0.0181931
+0.0201906
+0.0221675
+0.0241596
+0.0357338
+0.0341525
+0.0325154
+0.0309289
+0.0294059
+0.0278883
+0.0263955
+0.024997
+0.02371
+0.0224747
+0.0213327
+0.020341
+0.0194071
+0.0186365
+0.0179447
+0.0174601
+0.0171282
+0.0169075
+0.0168029
+0.0168083
+0.0169331
+0.0171971
+0.0176402
+0.0182149
+0.018993
+0.0198199
+0.0207932
+0.0218623
+0.022851
+0.0229141
+0.0225427
+0.0221749
+0.0219403
+0.0219062
+0.0216022
+0.0214653
+0.0215514
+0.021491
+0.0207392
+0.0200726
+0.0193111
+0.018543
+0.0179721
+0.0175616
+0.0173693
+0.0174393
+0.0177012
+0.0181233
+0.0186799
+0.0189447
+0.0183663
+0.0178372
+0.0175361
+0.0174726
+0.0176066
+0.0175454
+0.0175134
+0.0171807
+0.0155796
+0.0141375
+0.012471
+0.0107582
+0.00904366
+0.00754233
+0.00642999
+0.00552752
+0.00471823
+0.0038112
+0.00226136
+0.00168974
+0.000498308
+0.000678061
+0.00232864
+0.00391461
+0.00582482
+0.00787505
+0.0099768
+0.0121094
+0.014086
+0.0160535
+0.0148304
+0.0130674
+0.0113265
+0.00964342
+0.00816234
+0.00700076
+0.00616747
+0.00591812
+0.00589632
+0.00636872
+0.00727482
+0.00861602
+0.0102425
+0.0120053
+0.0138187
+0.0156654
+0.0175755
+0.0195375
+0.0215362
+0.023569
+0.0351085
+0.0335205
+0.0319857
+0.0304559
+0.0289332
+0.0274649
+0.0260507
+0.0246517
+0.0233457
+0.0221794
+0.0211476
+0.0201469
+0.0192921
+0.0185475
+0.0180015
+0.0176066
+0.0173664
+0.0172386
+0.0172752
+0.0174348
+0.0176698
+0.0180407
+0.0185162
+0.019132
+0.0199086
+0.0208515
+0.0218288
+0.0229265
+0.0227393
+0.0222799
+0.0220207
+0.0219387
+0.0216958
+0.0215448
+0.0212016
+0.0210621
+0.0208112
+0.0198186
+0.0189019
+0.0181679
+0.0174599
+0.0166083
+0.0159782
+0.0155081
+0.0152885
+0.0153808
+0.0156497
+0.016062
+0.0166859
+0.0175233
+0.0171844
+0.0166832
+0.0163176
+0.0161396
+0.016118
+0.0158248
+0.0157893
+0.0153059
+0.0141958
+0.0125962
+0.0111986
+0.00989664
+0.00830845
+0.00673131
+0.00546813
+0.00465778
+0.00418635
+0.0031671
+0.00226938
+0.00159295
+-0.000166341
+0.000745015
+0.00281223
+0.00494613
+0.00691952
+0.0087427
+0.010675
+0.0126908
+0.0147565
+0.0168539
+0.0152975
+0.0134295
+0.0116742
+0.00995413
+0.00839605
+0.0071418
+0.00626179
+0.00566067
+0.00552745
+0.00601262
+0.00690973
+0.00816299
+0.00964618
+0.0113416
+0.0131594
+0.0150687
+0.0170359
+0.0190451
+0.0210905
+0.0231624
+0.0345543
+0.0329697
+0.0314367
+0.0299767
+0.0285844
+0.0271364
+0.0257493
+0.0244311
+0.0231835
+0.0220086
+0.0209874
+0.0200884
+0.0193734
+0.0186442
+0.018101
+0.0178126
+0.0176559
+0.017655
+0.0178413
+0.0180651
+0.0184291
+0.0189128
+0.0195413
+0.0201853
+0.0209782
+0.0219088
+0.022979
+0.022839
+0.022251
+0.021814
+0.021556
+0.0214332
+0.0211037
+0.0209744
+0.0209989
+0.0204008
+0.01918
+0.0181254
+0.0171478
+0.0163313
+0.0156743
+0.0147453
+0.0140367
+0.0134941
+0.013241
+0.013335
+0.0135898
+0.0140236
+0.0147333
+0.0156717
+0.0157185
+0.0155784
+0.015092
+0.0148993
+0.0145396
+0.0142166
+0.014177
+0.0134281
+0.0124791
+0.0112721
+0.0096852
+0.00833757
+0.00725278
+0.00594151
+0.00479991
+0.00404558
+0.00365041
+0.00270723
+0.00170467
+0.000243779
+0.000223481
+0.00186181
+0.00375701
+0.00562542
+0.00754528
+0.00939343
+0.0113363
+0.0133377
+0.0153908
+0.0174773
+0.0157064
+0.0137414
+0.0118558
+0.0100942
+0.00850598
+0.00711964
+0.00608811
+0.00551993
+0.00544677
+0.00570978
+0.00644378
+0.00767338
+0.0092069
+0.0109302
+0.0127972
+0.0147535
+0.0167316
+0.0186902
+0.0206953
+0.0227271
+0.0339499
+0.0324803
+0.0309756
+0.0295121
+0.0281243
+0.0268431
+0.0255325
+0.0242702
+0.0230772
+0.0219741
+0.020961
+0.0201287
+0.0194262
+0.0188211
+0.0183909
+0.0181343
+0.0180621
+0.0181864
+0.0183944
+0.018848
+0.0192626
+0.0198264
+0.020501
+0.0213086
+0.0221187
+0.023094
+0.0232588
+0.0225194
+0.0219192
+0.0215045
+0.021219
+0.0210506
+0.0207087
+0.0205894
+0.0204105
+0.0189724
+0.0176542
+0.0164829
+0.0155052
+0.0145181
+0.0137749
+0.0129819
+0.0121346
+0.011513
+0.0112245
+0.0112774
+0.0115535
+0.0120379
+0.0128448
+0.0135961
+0.0135311
+0.0137046
+0.0140465
+0.0137295
+0.0131234
+0.0127796
+0.0126282
+0.0116599
+0.0105531
+0.00980799
+0.00847051
+0.00692009
+0.00566672
+0.00484283
+0.00394641
+0.0033418
+0.00304602
+0.00170254
+0.00130629
+0.000354005
+0.000680092
+0.00218725
+0.00400021
+0.00601014
+0.00791244
+0.00993325
+0.0118506
+0.0138023
+0.0158136
+0.0178508
+0.0160053
+0.014081
+0.0122347
+0.0104493
+0.00879846
+0.00740288
+0.00639948
+0.00557554
+0.00539167
+0.00547298
+0.00617055
+0.00739356
+0.00889791
+0.010558
+0.0123309
+0.0142147
+0.0161627
+0.0181656
+0.0202075
+0.0222777
+0.0334141
+0.031938
+0.0305206
+0.0291748
+0.0277869
+0.026498
+0.0253311
+0.0242042
+0.0230745
+0.0220167
+0.0210939
+0.0202887
+0.0196288
+0.0190799
+0.0186985
+0.0185356
+0.018562
+0.0187172
+0.0190748
+0.0195859
+0.020216
+0.0208034
+0.0215529
+0.0223862
+0.0233452
+0.0240332
+0.02315
+0.0224069
+0.0218036
+0.0213865
+0.0210995
+0.0208857
+0.0205411
+0.0204208
+0.019205
+0.0176762
+0.0162492
+0.0149728
+0.0138367
+0.0127874
+0.0119564
+0.0112853
+0.0103083
+0.00960199
+0.00924291
+0.00926146
+0.0095801
+0.0101369
+0.0110465
+0.0114118
+0.011345
+0.0115514
+0.0118957
+0.0123991
+0.0118349
+0.0113273
+0.0111119
+0.0100593
+0.00875243
+0.00783801
+0.0070974
+0.00584091
+0.0044667
+0.00356184
+0.00293831
+0.00288027
+0.00149508
+0.00119727
+6.86578e-05
+-0.000501836
+0.00115918
+0.00258422
+0.00447685
+0.00650231
+0.00830431
+0.0102586
+0.0122929
+0.0143732
+0.0164652
+0.0184044
+0.0164235
+0.014503
+0.0126705
+0.0109163
+0.00923135
+0.00771371
+0.00649755
+0.00563498
+0.00522374
+0.00536379
+0.00593504
+0.00695637
+0.00840071
+0.0100794
+0.0119116
+0.0138364
+0.0158305
+0.017812
+0.0198275
+0.0218767
+0.0330004
+0.0315049
+0.0300947
+0.0287599
+0.0275246
+0.0263027
+0.0251289
+0.0240474
+0.0231086
+0.022219
+0.0213071
+0.0205734
+0.0199454
+0.0195259
+0.0192105
+0.0190731
+0.0191288
+0.0194064
+0.0198126
+0.0203521
+0.0210478
+0.0218459
+0.0226178
+0.0235342
+0.0245038
+0.0241018
+0.0232479
+0.022508
+0.0219075
+0.0214924
+0.0212069
+0.0209498
+0.0206064
+0.0198816
+0.0181677
+0.0165329
+0.0149853
+0.0135239
+0.0122518
+0.0111831
+0.0102128
+0.00954098
+0.00863697
+0.00778961
+0.00736111
+0.00732871
+0.00767722
+0.00835617
+0.0092797
+0.00923065
+0.00916108
+0.00941541
+0.00975497
+0.0103853
+0.0106455
+0.0100375
+0.00943088
+0.0083103
+0.00717223
+0.00602249
+0.0053074
+0.00456979
+0.0035941
+0.00252129
+0.00201837
+0.00116197
+0.000597784
+-0.00019102
+-0.00090693
+-0.000820941
+0.000975685
+0.00267245
+0.00452787
+0.00658494
+0.0086625
+0.0107697
+0.0129048
+0.0149086
+0.0169511
+0.0188362
+0.0168682
+0.0149539
+0.0131146
+0.0113235
+0.0096569
+0.00814996
+0.00678562
+0.00569532
+0.00522532
+0.0053042
+0.00580346
+0.00680487
+0.00817122
+0.0097866
+0.0115433
+0.0134281
+0.0153942
+0.0174139
+0.0194707
+0.0215538
+0.03269
+0.0312042
+0.0297797
+0.0284528
+0.0272067
+0.026082
+0.0250548
+0.0240248
+0.0230877
+0.0222861
+0.0216469
+0.0209442
+0.0204213
+0.0200118
+0.0198272
+0.0198
+0.0198871
+0.0201797
+0.0206667
+0.0212918
+0.0219888
+0.0227867
+0.023729
+0.0246889
+0.025359
+0.0243553
+0.0235134
+0.0228199
+0.0222226
+0.0217928
+0.0215377
+0.0212087
+0.020852
+0.0190346
+0.0172482
+0.0154663
+0.0138026
+0.0122901
+0.0108743
+0.00964032
+0.00859016
+0.00783733
+0.00715491
+0.00613129
+0.00558987
+0.00556155
+0.0059217
+0.00657315
+0.00728754
+0.00705537
+0.00697828
+0.00730897
+0.00764003
+0.00836717
+0.00875834
+0.00849479
+0.00769028
+0.00645181
+0.00534471
+0.00453313
+0.00343526
+0.00282505
+0.00212664
+0.00179444
+0.00108764
+0.000378872
+-0.000601159
+-0.000885548
+-0.00175232
+-0.00037647
+0.00136972
+0.00330787
+0.00526428
+0.00716212
+0.00914386
+0.0111606
+0.0132327
+0.0152069
+0.0172196
+0.0192597
+0.0173679
+0.0153708
+0.0134154
+0.0115448
+0.00980765
+0.00827089
+0.00695285
+0.00582676
+0.00517828
+0.00515498
+0.00557553
+0.00653225
+0.00789355
+0.00953391
+0.0113225
+0.0132096
+0.0151553
+0.0171522
+0.019191
+0.0212601
+0.0324845
+0.0310077
+0.0296132
+0.0282802
+0.027059
+0.0259317
+0.0249423
+0.0240663
+0.0232085
+0.0224432
+0.0218383
+0.0214076
+0.0209419
+0.0206329
+0.0205288
+0.020572
+0.0207598
+0.0211023
+0.0215785
+0.0222445
+0.0229718
+0.0238348
+0.0247922
+0.0258463
+0.0257868
+0.0248004
+0.0239648
+0.0232756
+0.0227099
+0.0222892
+0.0220186
+0.0216756
+0.020171
+0.0183758
+0.0165217
+0.0146518
+0.0128833
+0.0112276
+0.00971312
+0.00832266
+0.00712744
+0.00621927
+0.0054601
+0.00464841
+0.00399003
+0.00396729
+0.00411663
+0.00468531
+0.00519506
+0.00489366
+0.00479549
+0.00526511
+0.00554756
+0.00646241
+0.00663732
+0.00630747
+0.00604834
+0.00462852
+0.00364947
+0.00258935
+0.00197707
+0.00116528
+0.000670897
+0.000314013
+-0.00046049
+-0.0011459
+-0.00103761
+-0.00101828
+-0.000363745
+0.000674026
+0.00212706
+0.00376348
+0.00568658
+0.00755573
+0.00949582
+0.0114956
+0.013528
+0.0154526
+0.0174361
+0.0194413
+0.0176219
+0.0156572
+0.0137376
+0.0118995
+0.010127
+0.00849468
+0.00712324
+0.00598085
+0.00523501
+0.00519218
+0.0055391
+0.00637387
+0.00765716
+0.00926863
+0.0110308
+0.0129221
+0.0148956
+0.0168966
+0.0189228
+0.0209821
+0.0323559
+0.0309465
+0.0295491
+0.0282443
+0.0270237
+0.0259237
+0.0249341
+0.0241034
+0.0234217
+0.0227684
+0.0222157
+0.0218254
+0.0215858
+0.0213274
+0.0212512
+0.021365
+0.0216707
+0.0220906
+0.0225906
+0.0232435
+0.0240193
+0.0249088
+0.0258918
+0.0269711
+0.026362
+0.025398
+0.0245751
+0.0239034
+0.0233623
+0.0229845
+0.022701
+0.0215662
+0.0196545
+0.017757
+0.0159075
+0.0140365
+0.0122362
+0.0104323
+0.00878818
+0.00721085
+0.00578753
+0.00468633
+0.00383325
+0.00302994
+0.00243425
+0.00233909
+0.00240043
+0.0029255
+0.0030192
+0.00274551
+0.00261739
+0.00315635
+0.00348236
+0.00454934
+0.00458233
+0.00412028
+0.00391725
+0.0030374
+0.00169978
+0.000890564
+0.000205722
+-0.000571377
+-0.00103639
+-0.00160841
+-0.00210139
+-0.00228268
+-0.00158229
+-3.43432e-05
+0.00134892
+0.00192214
+0.00279468
+0.00419961
+0.00586717
+0.00771783
+0.00964124
+0.0116273
+0.0135095
+0.0154731
+0.0174907
+0.0195452
+0.0179675
+0.0159549
+0.013996
+0.0121166
+0.0103604
+0.00875433
+0.00742541
+0.0064226
+0.00559742
+0.00540103
+0.00550255
+0.00625545
+0.00747164
+0.00904486
+0.01077
+0.0126402
+0.0145998
+0.0166172
+0.0186737
+0.020747
+0.032263
+0.0309123
+0.0296393
+0.0283468
+0.0271611
+0.0260711
+0.0250872
+0.0242618
+0.0235996
+0.0230914
+0.0226743
+0.0223442
+0.0222155
+0.0221231
+0.0221129
+0.0222372
+0.0225516
+0.0230402
+0.0236733
+0.0243564
+0.0251501
+0.0260429
+0.0270435
+0.0281219
+0.0270957
+0.0261587
+0.0253605
+0.0246965
+0.0241501
+0.0237933
+0.0232924
+0.0213103
+0.0193272
+0.0173939
+0.0154271
+0.0134897
+0.0116417
+0.00990175
+0.00818898
+0.00642392
+0.00480075
+0.00339612
+0.00220623
+0.00151181
+0.00083349
+0.000576981
+0.000646142
+0.00095932
+0.000875422
+0.000676332
+0.000490717
+0.00104662
+0.00162368
+0.00254936
+0.00273905
+0.00193369
+0.00178067
+0.00134266
+0.000366827
+-0.000742866
+-0.00173476
+-0.00231478
+-0.00261892
+-0.00329411
+-0.00404844
+-0.00289951
+-0.00121064
+0.000347437
+0.00165053
+0.00230497
+0.00261066
+0.00364303
+0.00518314
+0.00699857
+0.00879152
+0.0107062
+0.0126593
+0.0146796
+0.0167428
+0.0188348
+0.0183319
+0.0163642
+0.0144479
+0.0125935
+0.0108651
+0.0092368
+0.00777325
+0.00660889
+0.00576562
+0.00540575
+0.00541532
+0.00611592
+0.007332
+0.00890728
+0.0106572
+0.0125309
+0.0144938
+0.0164805
+0.0184876
+0.0205189
+0.0322946
+0.0309453
+0.0296965
+0.0285115
+0.0273906
+0.0263708
+0.0254252
+0.0246111
+0.0239625
+0.0234621
+0.0231591
+0.0229709
+0.0228457
+0.0228867
+0.022979
+0.0232313
+0.0235705
+0.0240378
+0.0246453
+0.0254277
+0.0263241
+0.0272659
+0.028242
+0.0290102
+0.027982
+0.0270757
+0.0262965
+0.025631
+0.025105
+0.0247606
+0.023256
+0.021236
+0.0192452
+0.017233
+0.0152103
+0.0132412
+0.0113506
+0.00945235
+0.00764247
+0.00580503
+0.00404675
+0.0025389
+0.00102799
+-9.09752e-05
+-0.000829796
+-0.00111268
+-0.00124465
+-0.00110901
+-0.00114621
+-0.00126587
+-0.0014124
+-0.00102066
+-6.46766e-05
+0.000678873
+0.00095997
+-0.000181675
+-9.32921e-05
+-4.95815e-05
+-0.00130787
+-0.00239517
+-0.00359287
+-0.00429639
+-0.00461747
+-0.00511101
+-0.00455728
+-0.00284088
+-0.00160899
+-0.000248848
+0.000593569
+0.00105238
+0.00160303
+0.0025374
+0.00404068
+0.00584232
+0.00778271
+0.00982889
+0.0119265
+0.0140526
+0.0161958
+0.0183503
+0.0188445
+0.0169049
+0.014979
+0.013094
+0.0113079
+0.00968922
+0.00829681
+0.00704995
+0.00608339
+0.00550505
+0.00547302
+0.00614225
+0.00732472
+0.00880055
+0.0105153
+0.0123662
+0.0142839
+0.0162706
+0.0183012
+0.0203482
+0.0323556
+0.0311089
+0.0298669
+0.0287332
+0.0276761
+0.0266868
+0.0258418
+0.0251139
+0.0244861
+0.0240189
+0.0237297
+0.0236076
+0.0235647
+0.0236348
+0.0238682
+0.0241945
+0.02463
+0.0251598
+0.0257578
+0.0265166
+0.0274101
+0.0284055
+0.0294725
+0.0300001
+0.0289927
+0.028119
+0.0273508
+0.0267129
+0.0262085
+0.0253767
+0.0233544
+0.0213524
+0.0193329
+0.0173118
+0.0152996
+0.0133437
+0.0113459
+0.00939102
+0.00753118
+0.00564686
+0.00371017
+0.00190652
+0.000102546
+-0.00134083
+-0.00244494
+-0.00294472
+-0.00327
+-0.00322556
+-0.00323574
+-0.00324152
+-0.00328624
+-0.00303434
+-0.00201085
+-0.00108471
+-0.00112567
+-0.00139552
+-0.00129381
+-0.00150866
+-0.00214195
+-0.00319865
+-0.00438781
+-0.00560432
+-0.00655287
+-0.00694953
+-0.00518512
+-0.00372733
+-0.0023285
+-0.00139675
+-0.000666779
+-0.00025505
+0.000406203
+0.00115894
+0.00297909
+0.00507098
+0.00722169
+0.00939091
+0.0115682
+0.0137498
+0.015897
+0.0178186
+0.0193524
+0.0173683
+0.0154339
+0.0135709
+0.0118
+0.0101708
+0.00863337
+0.00735731
+0.00637147
+0.00572994
+0.00569799
+0.00625966
+0.00734278
+0.00880007
+0.0104559
+0.0122409
+0.0141065
+0.0160398
+0.018031
+0.0200637
+0.0324744
+0.0312545
+0.0301445
+0.0290732
+0.0280513
+0.0271319
+0.0262917
+0.0255982
+0.0250569
+0.0246874
+0.0244481
+0.0243438
+0.0243404
+0.0245103
+0.0247802
+0.0251686
+0.0257024
+0.0262918
+0.0269633
+0.0277031
+0.028579
+0.0295638
+0.0306403
+0.0310972
+0.0301254
+0.0292828
+0.0285347
+0.027925
+0.0274429
+0.0256546
+0.023656
+0.021622
+0.0196016
+0.0176221
+0.0156712
+0.0136313
+0.0116464
+0.00974989
+0.00779947
+0.00590975
+0.00406227
+0.00216671
+0.000373507
+-0.00114263
+-0.0022565
+-0.00330549
+-0.00396527
+-0.00426537
+-0.0045225
+-0.00511981
+-0.00517712
+-0.00424599
+-0.0033199
+-0.00288503
+-0.00293375
+-0.0032172
+-0.00329922
+-0.0032957
+-0.00374251
+-0.00452143
+-0.00548896
+-0.00657598
+-0.00783589
+-0.0079133
+-0.0063526
+-0.00468903
+-0.00334328
+-0.00234011
+-0.00203889
+-0.00133979
+-0.000791008
+0.000886632
+0.00296506
+0.00507561
+0.00722009
+0.00920693
+0.0110239
+0.0129286
+0.014911
+0.016928
+0.0189591
+0.0178502
+0.0159147
+0.0140544
+0.0122745
+0.010621
+0.00911694
+0.00774751
+0.00669901
+0.00598755
+0.00591757
+0.00636141
+0.00725792
+0.00858923
+0.0101706
+0.0119459
+0.0138339
+0.0157993
+0.0178174
+0.0198513
+0.0326441
+0.031515
+0.0304145
+0.0294362
+0.0284904
+0.0276763
+0.0269033
+0.026236
+0.0257081
+0.0253481
+0.0251484
+0.0251368
+0.0251952
+0.0253817
+0.0257539
+0.026204
+0.026756
+0.027448
+0.0281727
+0.0289865
+0.0298439
+0.0308148
+0.0318735
+0.0323048
+0.0313705
+0.030549
+0.0298327
+0.0292501
+0.0280901
+0.0261139
+0.0240926
+0.022081
+0.0201069
+0.0181824
+0.0161844
+0.0142084
+0.0122903
+0.010439
+0.00856629
+0.00681987
+0.00500343
+0.00336701
+0.00192051
+0.000744491
+-0.000374663
+-0.00128618
+-0.00185398
+-0.0022944
+-0.0026561
+-0.00316979
+-0.00372037
+-0.00387255
+-0.00400949
+-0.00381998
+-0.00412297
+-0.00455495
+-0.00530829
+-0.00537878
+-0.00567559
+-0.00615648
+-0.00695564
+-0.00783018
+-0.00896612
+-0.00918341
+-0.00746321
+-0.00604153
+-0.00496398
+-0.00393282
+-0.00340686
+-0.00254906
+-0.00123853
+0.000673485
+0.00274922
+0.00444979
+0.00615459
+0.00804509
+0.0100348
+0.0120634
+0.0140632
+0.0160289
+0.0180464
+0.0183322
+0.0164509
+0.0145331
+0.0126904
+0.010974
+0.00941165
+0.00807444
+0.00702819
+0.00633334
+0.00603883
+0.0063452
+0.0072367
+0.00853293
+0.0101143
+0.011889
+0.0137443
+0.0156668
+0.017639
+0.019615
+0.0328721
+0.0317529
+0.0307492
+0.0298726
+0.0289772
+0.0281886
+0.0275385
+0.026949
+0.0264705
+0.0261672
+0.0259827
+0.0259734
+0.02613
+0.0263676
+0.026726
+0.0272452
+0.027838
+0.028542
+0.0293415
+0.0302451
+0.0311467
+0.0321278
+0.0331693
+0.033612
+0.032715
+0.0319155
+0.0312305
+0.0306454
+0.028678
+0.0266924
+0.0247005
+0.0227428
+0.0208008
+0.0188792
+0.0169233
+0.0150323
+0.0132329
+0.0114148
+0.00968469
+0.00800836
+0.00636871
+0.00498216
+0.00372392
+0.00262951
+0.00158781
+0.000785846
+0.000242081
+-0.000281089
+-0.00103378
+-0.00138416
+-0.00189015
+-0.00207498
+-0.00248441
+-0.00345359
+-0.00446727
+-0.00535413
+-0.00591655
+-0.00635479
+-0.00730984
+-0.00802523
+-0.00869897
+-0.00936463
+-0.0103458
+-0.0103236
+-0.00875662
+-0.0074826
+-0.00632089
+-0.00549124
+-0.00466768
+-0.00319228
+-0.00163669
+-0.000194879
+0.00136783
+0.00316832
+0.00518487
+0.0072448
+0.00916991
+0.0111374
+0.0131638
+0.015222
+0.0173127
+0.0186721
+0.016729
+0.0148471
+0.0130383
+0.0113511
+0.00980614
+0.00845688
+0.00733045
+0.006669
+0.00628924
+0.00648573
+0.00730797
+0.00856245
+0.0100614
+0.0117653
+0.0136092
+0.0154876
+0.0174068
+0.0193701
+0.0332413
+0.0321349
+0.0311435
+0.0302784
+0.0295507
+0.02878
+0.0281569
+0.0276829
+0.0273034
+0.0270102
+0.0268921
+0.0269509
+0.0271115
+0.0274206
+0.0278268
+0.0283365
+0.0289805
+0.0297062
+0.0305245
+0.0314265
+0.0324366
+0.0334481
+0.0345007
+0.0350075
+0.0341367
+0.03337
+0.0327057
+0.0313374
+0.0293854
+0.027418
+0.0254665
+0.0235284
+0.0216385
+0.0197421
+0.017891
+0.016114
+0.0143607
+0.0126599
+0.0110363
+0.0094202
+0.00802745
+0.00675248
+0.00561092
+0.00451424
+0.00355995
+0.00288103
+0.00233985
+0.00149093
+0.000657294
+-0.000203435
+-0.000859023
+-0.000780549
+-0.00151327
+-0.00271903
+-0.00433747
+-0.00518819
+-0.00618362
+-0.00693423
+-0.00765367
+-0.008452
+-0.00968826
+-0.0111016
+-0.0119408
+-0.0116165
+-0.0102306
+-0.00906937
+-0.00802246
+-0.00718063
+-0.00570769
+-0.0042717
+-0.00275595
+-0.00103736
+0.000678208
+0.00259462
+0.0042887
+0.00625711
+0.00829452
+0.0103936
+0.0125219
+0.0146628
+0.0167762
+0.0189068
+0.01717
+0.0152821
+0.0134839
+0.0117829
+0.0102039
+0.00882697
+0.00780453
+0.00720755
+0.00674771
+0.00683412
+0.00752195
+0.00863353
+0.0100181
+0.0116489
+0.0133988
+0.015239
+0.0171373
+0.019077
+0.033713
+0.0326216
+0.0316445
+0.0307925
+0.0300762
+0.0295056
+0.0289154
+0.0284541
+0.0281335
+0.0279649
+0.0278527
+0.0279103
+0.0281355
+0.0284743
+0.0289671
+0.0295399
+0.0301748
+0.0309272
+0.031745
+0.0326702
+0.0336588
+0.0347506
+0.0358696
+0.0364724
+0.0356352
+0.0348862
+0.0340558
+0.0321368
+0.0302052
+0.0282533
+0.026338
+0.024469
+0.0226071
+0.0207882
+0.0190477
+0.0173472
+0.0156775
+0.0140876
+0.0124822
+0.0110739
+0.00978672
+0.00861834
+0.00752187
+0.00649532
+0.00556879
+0.00496209
+0.00435607
+0.00330773
+0.00233065
+0.00135797
+0.000229709
+-0.000904294
+-0.00121052
+-0.00195175
+-0.00338093
+-0.00483103
+-0.00602856
+-0.00707163
+-0.0077915
+-0.00885793
+-0.0101226
+-0.0115819
+-0.0131413
+-0.0131264
+-0.0117985
+-0.0105759
+-0.00947381
+-0.00837968
+-0.00701268
+-0.00551447
+-0.00369359
+-0.00192777
+-0.000335041
+0.00136799
+0.00350269
+0.0056636
+0.00780469
+0.00992702
+0.0120738
+0.014234
+0.0164022
+0.0185758
+0.017611
+0.0157428
+0.0139544
+0.0122808
+0.0107211
+0.00938661
+0.00836638
+0.00750269
+0.00702895
+0.0072056
+0.00779049
+0.0088104
+0.0100895
+0.0116298
+0.0132937
+0.0150878
+0.0169722
+0.0189028
+0.0342546
+0.0332113
+0.0322686
+0.0314335
+0.0307322
+0.0301739
+0.0296608
+0.0292847
+0.0290582
+0.0289109
+0.0289233
+0.0289791
+0.0291996
+0.0295721
+0.030078
+0.0307117
+0.031442
+0.0321984
+0.0330351
+0.0339294
+0.0349342
+0.0360135
+0.0371637
+0.0380051
+0.0371972
+0.0364694
+0.0349301
+0.0330288
+0.031099
+0.029206
+0.0273575
+0.0255266
+0.0237293
+0.0220033
+0.0203504
+0.0187108
+0.0171249
+0.0155584
+0.0141212
+0.0128306
+0.0116172
+0.0104875
+0.00940986
+0.00844053
+0.00761535
+0.00710744
+0.00617196
+0.00518632
+0.00406705
+0.00300283
+0.00183715
+0.000692492
+-0.000411009
+-0.00159857
+-0.00261972
+-0.00376685
+-0.00520009
+-0.00660043
+-0.00800509
+-0.0089716
+-0.0101593
+-0.0114644
+-0.0127287
+-0.0127059
+-0.0114965
+-0.0103874
+-0.00929367
+-0.00857373
+-0.00800653
+-0.00672727
+-0.00480507
+-0.00278578
+-0.000864991
+0.00112596
+0.00324064
+0.00538023
+0.00754919
+0.00972788
+0.011911
+0.0140964
+0.0162799
+0.0184589
+0.0181969
+0.0163493
+0.0145523
+0.0128778
+0.0113488
+0.0100052
+0.00890996
+0.00820208
+0.00775796
+0.00773871
+0.00816036
+0.00903085
+0.0102681
+0.0116736
+0.0132554
+0.0149871
+0.0167921
+0.0186799
+0.0348535
+0.0338315
+0.0329106
+0.0320932
+0.0314076
+0.0308625
+0.030442
+0.030087
+0.0298774
+0.0298019
+0.0298818
+0.0301213
+0.0303732
+0.0307402
+0.0312402
+0.0318699
+0.0326161
+0.0334543
+0.0343308
+0.0352798
+0.0362472
+0.0373183
+0.0384737
+0.0395997
+0.0388097
+0.0377709
+0.035897
+0.0339889
+0.0321168
+0.0302875
+0.0284838
+0.0267058
+0.0249902
+0.0233418
+0.0217623
+0.0201722
+0.0186418
+0.0171833
+0.0158676
+0.0146497
+0.0135094
+0.0124048
+0.011389
+0.0104294
+0.0096932
+0.00917683
+0.00803996
+0.00701456
+0.00594583
+0.00469205
+0.00348496
+0.00229424
+0.00110919
+-0.000251653
+-0.00177448
+-0.0032494
+-0.00459862
+-0.00603891
+-0.00732615
+-0.00845792
+-0.00984335
+-0.0113584
+-0.0125695
+-0.0112968
+-0.0100253
+-0.00901853
+-0.00826448
+-0.00739001
+-0.00671341
+-0.00628401
+-0.00516551
+-0.00313997
+-0.00108434
+0.000970158
+0.00312492
+0.00530612
+0.00749131
+0.00967828
+0.0118666
+0.0140557
+0.0162452
+0.018435
+0.0187568
+0.0169471
+0.0152193
+0.0135173
+0.0119713
+0.0106485
+0.00956102
+0.00879576
+0.00834079
+0.00824742
+0.00863275
+0.00932792
+0.0103836
+0.0117294
+0.013256
+0.0149273
+0.0167151
+0.0185696
+0.0355057
+0.0344998
+0.0336036
+0.0328034
+0.032133
+0.0316005
+0.0311966
+0.0309294
+0.0307532
+0.0307049
+0.0308013
+0.0310337
+0.0314175
+0.0319126
+0.0324598
+0.033084
+0.0338218
+0.0346824
+0.0356075
+0.0365708
+0.0376189
+0.0386745
+0.0398008
+0.0410134
+0.0404767
+0.0388006
+0.0369126
+0.0350598
+0.033248
+0.0314682
+0.0297073
+0.0280001
+0.0263579
+0.0248005
+0.0232329
+0.0217295
+0.0202563
+0.0189082
+0.0176707
+0.016559
+0.0153777
+0.0143074
+0.0133342
+0.0124729
+0.0118068
+0.0109911
+0.010001
+0.00884843
+0.0076557
+0.00645885
+0.00519728
+0.004041
+0.00273578
+0.00106903
+-0.000312114
+-0.00189082
+-0.00344194
+-0.00482763
+-0.00618445
+-0.00751808
+-0.00901938
+-0.010469
+-0.0112783
+-0.0100307
+-0.00872002
+-0.00759476
+-0.00667184
+-0.00608161
+-0.00555886
+-0.00488807
+-0.0040196
+-0.00223833
+-0.000444361
+0.00124926
+0.00332043
+0.00544728
+0.00761008
+0.00978529
+0.0119662
+0.0141501
+0.0163358
+0.0185227
+0.0192862
+0.017448
+0.0157006
+0.0140648
+0.0125661
+0.0112732
+0.0102255
+0.00944468
+0.00906167
+0.00875384
+0.00891369
+0.00955649
+0.0105486
+0.0118474
+0.0132975
+0.0149293
+0.0166843
+0.0184736
+0.0362602
+0.0352903
+0.0344193
+0.0336416
+0.0329882
+0.0324697
+0.0320767
+0.031817
+0.0317068
+0.0316821
+0.0317866
+0.0320345
+0.0324064
+0.0329202
+0.0335571
+0.0342591
+0.0350469
+0.0359183
+0.0368379
+0.0378598
+0.0389285
+0.0400347
+0.0411788
+0.0423519
+0.041731
+0.0398626
+0.0380273
+0.0362316
+0.0344727
+0.0327268
+0.0310274
+0.029391
+0.027831
+0.0263024
+0.0248004
+0.023336
+0.0219649
+0.0207105
+0.0195305
+0.0183792
+0.0172867
+0.0162827
+0.0153141
+0.0145167
+0.0138911
+0.0128965
+0.0118274
+0.0106926
+0.00946989
+0.00819611
+0.00703852
+0.00576075
+0.00400064
+0.00240705
+0.000862222
+-0.00078575
+-0.00218845
+-0.00354569
+-0.00485829
+-0.00627651
+-0.00782236
+-0.00942639
+-0.00969742
+-0.00854066
+-0.00737437
+-0.006206
+-0.00518039
+-0.00449185
+-0.00424268
+-0.00349836
+-0.00265564
+-0.00130007
+0.000606769
+0.00254414
+0.00415554
+0.00608291
+0.00814452
+0.0102445
+0.0123478
+0.0144742
+0.0166174
+0.0187715
+0.0198824
+0.0181017
+0.0164058
+0.0148101
+0.0133255
+0.0120469
+0.0108524
+0.0099614
+0.00950177
+0.00916796
+0.00932071
+0.00991772
+0.0108549
+0.0119949
+0.0133774
+0.0149294
+0.0166064
+0.0183827
+0.0370996
+0.0361521
+0.0353101
+0.0345866
+0.0339634
+0.03346
+0.0330788
+0.032827
+0.0327202
+0.0327599
+0.0328634
+0.0331094
+0.0334971
+0.0340067
+0.0346236
+0.0353511
+0.0361835
+0.0370655
+0.0380397
+0.0391124
+0.0402015
+0.0413704
+0.0425286
+0.0437504
+0.0428336
+0.0410142
+0.0392328
+0.0374924
+0.0357582
+0.0340674
+0.0324364
+0.0308748
+0.0293779
+0.0278694
+0.0264199
+0.0250308
+0.0237373
+0.0225361
+0.021408
+0.0202427
+0.0191916
+0.0182305
+0.0173444
+0.016598
+0.0158587
+0.0148451
+0.0137035
+0.0124706
+0.011222
+0.00997679
+0.00873096
+0.0068309
+0.00493185
+0.00325354
+0.00170981
+0.000172138
+-0.00141169
+-0.00253823
+-0.00370396
+-0.00512031
+-0.00672295
+-0.00832408
+-0.00828336
+-0.00701306
+-0.00589545
+-0.00477329
+-0.00380286
+-0.00301261
+-0.00259918
+-0.00226477
+-0.00150886
+-0.000389108
+0.00127528
+0.00312234
+0.0049817
+0.00698386
+0.0088421
+0.0108237
+0.0128732
+0.0148942
+0.0169153
+0.0189667
+0.0205291
+0.0187535
+0.0170514
+0.015472
+0.0139926
+0.0127188
+0.0115095
+0.0105715
+0.010006
+0.00975727
+0.00987127
+0.0103031
+0.0111347
+0.0122488
+0.0136155
+0.0151008
+0.0167257
+0.0184603
+0.0380467
+0.0371227
+0.0362943
+0.0355808
+0.0349902
+0.0345287
+0.034192
+0.0339485
+0.0338452
+0.0338836
+0.0340415
+0.0342848
+0.0346594
+0.0351643
+0.0357729
+0.0364967
+0.0373164
+0.0382148
+0.0391894
+0.0402412
+0.0413824
+0.0425892
+0.0438286
+0.0450741
+0.0440165
+0.0422481
+0.040521
+0.0387986
+0.037117
+0.0354909
+0.0339285
+0.0324388
+0.0309443
+0.0295069
+0.0280999
+0.0267804
+0.0255638
+0.0243939
+0.0232065
+0.0220793
+0.0211198
+0.0202056
+0.0193778
+0.0186692
+0.0177762
+0.0166896
+0.0154936
+0.0142605
+0.0129896
+0.0114555
+0.0094883
+0.00760986
+0.00589061
+0.00422661
+0.00281522
+0.00159781
+0.000155237
+-0.00126125
+-0.00272835
+-0.00431826
+-0.00544163
+-0.00698302
+-0.0070816
+-0.0058201
+-0.004573
+-0.00337544
+-0.00235565
+-0.0011677
+-0.000743371
+-0.00125499
+-0.000313685
+0.000896561
+0.00219496
+0.00339009
+0.00504846
+0.00682273
+0.0087112
+0.0106497
+0.0126062
+0.014628
+0.0166754
+0.018753
+0.0208538
+0.0194606
+0.0177732
+0.0161988
+0.0146847
+0.0133035
+0.0121435
+0.0111984
+0.010445
+0.0101155
+0.0102015
+0.0106835
+0.0114278
+0.012516
+0.0138469
+0.0152346
+0.0167414
+0.0183278
+0.0390838
+0.0381716
+0.0373657
+0.0366731
+0.0361003
+0.0356532
+0.0353112
+0.0350754
+0.0349755
+0.0350127
+0.0351865
+0.0354897
+0.0358775
+0.0363933
+0.0370048
+0.037711
+0.0385283
+0.0394222
+0.0403741
+0.0414103
+0.0425201
+0.0437117
+0.0449754
+0.046293
+0.0452746
+0.0435573
+0.0418473
+0.040174
+0.0385524
+0.0369895
+0.0354931
+0.0340233
+0.0325827
+0.0311745
+0.0298348
+0.02859
+0.0273912
+0.026184
+0.0250173
+0.0239754
+0.0230919
+0.0222209
+0.0214349
+0.0207163
+0.0196938
+0.0185409
+0.0173184
+0.0160288
+0.0142614
+0.0123281
+0.0104855
+0.00872401
+0.00698617
+0.00541296
+0.0041349
+0.00277795
+0.00133344
+0.000139175
+-0.00160752
+-0.00266358
+-0.00411687
+-0.00597397
+-0.00557584
+-0.00429209
+-0.00316387
+-0.00223198
+-0.00111732
+5.46162e-05
+0.00108951
+0.000686397
+0.000944252
+0.00121171
+0.0022232
+0.00357461
+0.00509774
+0.00687698
+0.00875353
+0.0106938
+0.0126435
+0.0146558
+0.0166973
+0.0187725
+0.0208713
+0.0200083
+0.0183206
+0.0167496
+0.015269
+0.0139371
+0.0126984
+0.0116883
+0.0109883
+0.0106756
+0.0107775
+0.011257
+0.0119804
+0.0128067
+0.0139109
+0.0151554
+0.0165906
+0.0181593
+0.0401605
+0.0393002
+0.0385165
+0.0378436
+0.0372868
+0.0368314
+0.0364922
+0.0362641
+0.0361675
+0.0362034
+0.0363715
+0.0366699
+0.0370955
+0.0376144
+0.0382324
+0.038964
+0.0397928
+0.0406662
+0.0416109
+0.0426472
+0.0437381
+0.0448973
+0.0461314
+0.0474341
+0.0466017
+0.0449017
+0.0432369
+0.0416193
+0.0400563
+0.0385544
+0.0371008
+0.0356549
+0.0342532
+0.0328974
+0.0316214
+0.0304
+0.0291618
+0.0279899
+0.0268847
+0.0259179
+0.0250843
+0.024254
+0.0234686
+0.0226751
+0.0215636
+0.0203412
+0.0190659
+0.0171478
+0.0152582
+0.0134377
+0.0116874
+0.00993091
+0.00834764
+0.00696022
+0.00553831
+0.00382849
+0.00224963
+0.000711068
+-0.000571879
+-0.00182631
+-0.00349302
+-0.00492711
+-0.00424418
+-0.00313903
+-0.00183274
+-0.000636635
+0.00053319
+0.00150915
+0.00263736
+0.00168645
+0.00125081
+0.00168939
+0.00267866
+0.00385512
+0.00536658
+0.00715537
+0.00906579
+0.0110652
+0.0130437
+0.0149849
+0.0169869
+0.0190306
+0.0211038
+0.0206151
+0.0189327
+0.017364
+0.0159153
+0.014593
+0.0133882
+0.0124158
+0.0117637
+0.0114173
+0.0114472
+0.0117466
+0.0122453
+0.0129835
+0.0139895
+0.0152206
+0.0166121
+0.0181466
+0.0412939
+0.0405003
+0.0397475
+0.0390941
+0.0385343
+0.0380913
+0.0377635
+0.0375431
+0.0374498
+0.0374845
+0.0376468
+0.0379352
+0.0383438
+0.038851
+0.0394732
+0.0402052
+0.0410394
+0.0419284
+0.0428664
+0.0438935
+0.0449856
+0.0461355
+0.0473578
+0.0486282
+0.0479608
+0.0463045
+0.0446906
+0.0431275
+0.0416212
+0.0401671
+0.0387312
+0.0373352
+0.0359661
+0.0346646
+0.0334191
+0.0321615
+0.0309851
+0.0298321
+0.0287978
+0.0278845
+0.0271053
+0.0262947
+0.0254734
+0.0245623
+0.0233724
+0.0220023
+0.0200916
+0.0182439
+0.0164308
+0.0146537
+0.0129291
+0.0113359
+0.00987545
+0.0080563
+0.00645974
+0.00506795
+0.00369426
+0.00243803
+0.000945242
+-0.000729071
+-0.0027353
+-0.0033109
+-0.00257352
+-0.00127752
+-0.000606829
+0.000298163
+0.00140846
+0.00268939
+0.00350879
+0.00227319
+0.00187447
+0.00247422
+0.00344148
+0.00469032
+0.00601282
+0.00768565
+0.0095055
+0.0114517
+0.0134159
+0.0153706
+0.0173816
+0.0194316
+0.0215093
+0.0213168
+0.0196765
+0.0180698
+0.0165797
+0.0152471
+0.0140991
+0.0131579
+0.012492
+0.0121061
+0.0119922
+0.0122202
+0.0126401
+0.0133475
+0.014301
+0.0154756
+0.0168361
+0.018351
+0.0421856
+0.0415803
+0.0410324
+0.0404033
+0.0398608
+0.0394314
+0.0390978
+0.0388849
+0.0387947
+0.0388282
+0.0389849
+0.0392634
+0.0396611
+0.040153
+0.0407553
+0.0414648
+0.042276
+0.0431832
+0.0441497
+0.0451347
+0.0462021
+0.0473421
+0.0485542
+0.0498203
+0.0493759
+0.0477652
+0.0462024
+0.0446923
+0.0432378
+0.0418107
+0.0404102
+0.0390372
+0.0377167
+0.0364514
+0.0351721
+0.0339609
+0.0328073
+0.0317187
+0.030742
+0.0298778
+0.0291375
+0.0282716
+0.0274758
+0.0264192
+0.0249504
+0.0230758
+0.021242
+0.0194568
+0.0176631
+0.0159341
+0.0142382
+0.0124688
+0.0108541
+0.00921179
+0.00774612
+0.00648814
+0.00493575
+0.00298195
+0.00124337
+-1.43907e-05
+-0.00123888
+-0.0019497
+-0.00147755
+0.000234349
+0.00141986
+0.00217602
+0.00309421
+0.00403287
+0.00438523
+0.00354793
+0.00324067
+0.00380644
+0.00480295
+0.00587748
+0.00718302
+0.00866822
+0.0103508
+0.0121642
+0.0140852
+0.0159641
+0.0179087
+0.0199044
+0.0219374
+0.0220198
+0.0203433
+0.0187641
+0.0172969
+0.0159961
+0.0148831
+0.0139846
+0.0132942
+0.0128216
+0.0126999
+0.0127353
+0.0130848
+0.0137781
+0.0147069
+0.0158575
+0.0171946
+0.0186823
+0.0430948
+0.0425101
+0.0420315
+0.0416613
+0.0412588
+0.040824
+0.0405018
+0.0402964
+0.0402094
+0.0402416
+0.0403929
+0.0406617
+0.0410459
+0.0415298
+0.0421125
+0.0427994
+0.0435858
+0.0444663
+0.0454354
+0.046436
+0.0474742
+0.0485843
+0.0497662
+0.0510148
+0.0508428
+0.0492801
+0.0477668
+0.0463078
+0.0448797
+0.0434811
+0.042111
+0.0407758
+0.0394939
+0.038191
+0.0369562
+0.0358033
+0.0346704
+0.0336409
+0.0327079
+0.031897
+0.0311267
+0.0302754
+0.0294706
+0.0279309
+0.0260836
+0.0242591
+0.0224131
+0.0205411
+0.0187382
+0.0169576
+0.015189
+0.013539
+0.0120203
+0.0104958
+0.00901393
+0.00728032
+0.00521928
+0.00328368
+0.00182895
+0.00156911
+0.000369884
+0.000150905
+0.000492431
+0.0011465
+0.00250447
+0.00319363
+0.00409834
+0.00508199
+0.00561903
+0.00489255
+0.00481664
+0.00540021
+0.00643776
+0.00726776
+0.00845883
+0.00986862
+0.0114391
+0.0131723
+0.0149745
+0.0168043
+0.0186793
+0.0206005
+0.0225709
+0.0226504
+0.0209985
+0.0194533
+0.0180423
+0.0167778
+0.0156813
+0.0147035
+0.0139654
+0.013519
+0.0132266
+0.0132751
+0.0136534
+0.0143165
+0.0151484
+0.0162274
+0.0174703
+0.0188802
+0.0440076
+0.0434566
+0.0430102
+0.0426615
+0.0424116
+0.0422637
+0.0419733
+0.0417751
+0.0416912
+0.0417223
+0.0418682
+0.0421276
+0.0424986
+0.0429629
+0.0435264
+0.0441914
+0.0449534
+0.0458076
+0.0467489
+0.0477684
+0.0488115
+0.0498919
+0.0510435
+0.0522615
+0.0523603
+0.0508443
+0.0493789
+0.0479489
+0.0465557
+0.045188
+0.0438404
+0.0425444
+0.0412216
+0.0399673
+0.0387801
+0.0376457
+0.0365699
+0.0355826
+0.0347007
+0.0339375
+0.0331026
+0.0323034
+0.0309037
+0.0290516
+0.027117
+0.0252136
+0.0233605
+0.0215708
+0.0197725
+0.0180138
+0.0163464
+0.0148068
+0.0132582
+0.0117196
+0.00986395
+0.00784596
+0.00595137
+0.00429732
+0.0031859
+0.00245425
+0.00192872
+0.00213187
+0.00217893
+0.00233273
+0.00364565
+0.00476628
+0.00560794
+0.00656391
+0.00716769
+0.00657427
+0.00651903
+0.00697566
+0.00792498
+0.00887063
+0.00994971
+0.0111403
+0.0126021
+0.0142148
+0.0159473
+0.0177288
+0.0194981
+0.0213458
+0.0232531
+0.0234089
+0.0218144
+0.0203174
+0.0188627
+0.0175556
+0.0163987
+0.0154673
+0.0147639
+0.0141131
+0.013748
+0.0137271
+0.0140247
+0.0146102
+0.0154862
+0.0165205
+0.017742
+0.0191217
+0.0449783
+0.0444393
+0.0440029
+0.0436722
+0.0434495
+0.0433365
+0.043314
+0.0433142
+0.0432333
+0.0432633
+0.043404
+0.0436543
+0.0440034
+0.0444458
+0.0449907
+0.0456344
+0.0463727
+0.0472012
+0.0481153
+0.0491101
+0.0501686
+0.0512597
+0.0523812
+0.0535689
+0.0539241
+0.0524533
+0.0510216
+0.0496283
+0.0482608
+0.0469093
+0.0455879
+0.0442615
+0.0429903
+0.0417746
+0.0406384
+0.0395228
+0.038492
+0.0375507
+0.0367161
+0.0359745
+0.035104
+0.0337727
+0.0318668
+0.0299584
+0.0280766
+0.0262428
+0.0244678
+0.0226613
+0.0209153
+0.0192432
+0.0176844
+0.016143
+0.014566
+0.012662
+0.0107233
+0.00890233
+0.00723751
+0.00588545
+0.00496109
+0.00391004
+0.00341338
+0.00368384
+0.00370815
+0.00396245
+0.00496905
+0.00649701
+0.00726296
+0.00737954
+0.00673262
+0.0064809
+0.00672873
+0.00728152
+0.00797529
+0.00905239
+0.0103502
+0.0117832
+0.0133826
+0.0149428
+0.0166193
+0.0183047
+0.0200448
+0.0218659
+0.0237347
+0.0241408
+0.0225162
+0.0209777
+0.019549
+0.0182717
+0.017163
+0.0162189
+0.0153236
+0.0146644
+0.0143134
+0.0142934
+0.014596
+0.0151595
+0.0160055
+0.0170476
+0.0181826
+0.019373
+0.0460329
+0.0455064
+0.0450803
+0.0447575
+0.0445403
+0.0444226
+0.0443994
+0.0444842
+0.0446764
+0.0448583
+0.044994
+0.0452325
+0.0455578
+0.0459853
+0.0465122
+0.0471351
+0.0478502
+0.0486536
+0.0495409
+0.0505077
+0.0515486
+0.0526244
+0.0537577
+0.0549326
+0.0555303
+0.0540972
+0.0526942
+0.0513296
+0.0499814
+0.0486325
+0.0473089
+0.0460188
+0.0447832
+0.0436171
+0.0424942
+0.0414284
+0.0404372
+0.0395422
+0.0387505
+0.0379509
+0.0365767
+0.0346865
+0.0328337
+0.0309849
+0.0291586
+0.0273356
+0.0255705
+0.023861
+0.0221944
+0.020626
+0.0189925
+0.0173308
+0.015446
+0.0135559
+0.0117705
+0.0101131
+0.00866956
+0.00748337
+0.00658153
+0.00569452
+0.00528849
+0.00557412
+0.00563534
+0.00581945
+0.00667501
+0.00793624
+0.00807087
+0.00700643
+0.00638074
+0.00602265
+0.00635302
+0.00711817
+0.00814623
+0.00937298
+0.0107342
+0.0121922
+0.0137541
+0.0154672
+0.0172305
+0.0189656
+0.0199893
+0.0211901
+0.0225322
+0.0239996
+0.0230919
+0.0216055
+0.0202113
+0.0189636
+0.017898
+0.0169513
+0.0161322
+0.0155073
+0.0151758
+0.015157
+0.0154427
+0.0159763
+0.0166743
+0.0174615
+0.0184712
+0.0196441
+0.0471518
+0.046638
+0.0462223
+0.0459075
+0.0456958
+0.0455786
+0.045556
+0.0456387
+0.045826
+0.0461167
+0.046509
+0.0468486
+0.0471628
+0.0475759
+0.0480853
+0.0486881
+0.0493808
+0.0501596
+0.0510207
+0.05196
+0.0529683
+0.0540323
+0.0551449
+0.0563102
+0.0571753
+0.0557636
+0.0544017
+0.0530545
+0.0516834
+0.0503517
+0.0490549
+0.0478032
+0.0466097
+0.0454821
+0.0443802
+0.0433529
+0.0424063
+0.0415538
+0.0408011
+0.0394247
+0.0375501
+0.0357115
+0.0338803
+0.0320264
+0.0302176
+0.0284626
+0.026766
+0.0251322
+0.023544
+0.0218342
+0.020115
+0.0181824
+0.0163151
+0.0145274
+0.012835
+0.0113149
+0.0100144
+0.00891562
+0.00803673
+0.007284
+0.00698881
+0.00725907
+0.00770467
+0.00784034
+0.00850804
+0.00895388
+0.0075922
+0.00663177
+0.0061976
+0.00599605
+0.00637018
+0.00724159
+0.00842319
+0.00966601
+0.0110999
+0.0127089
+0.0144076
+0.0154055
+0.0160905
+0.0170054
+0.01814
+0.0194481
+0.0209025
+0.0224765
+0.0238315
+0.0223729
+0.0210267
+0.0197417
+0.0185962
+0.017623
+0.0168683
+0.0163439
+0.0160986
+0.0160694
+0.0162825
+0.0166786
+0.0172383
+0.0180269
+0.018996
+0.0201214
+0.0483386
+0.0478374
+0.0474323
+0.0471256
+0.0469193
+0.0468087
+0.0467867
+0.0468671
+0.0470496
+0.0473328
+0.047715
+0.0481939
+0.0487666
+0.0492126
+0.0497053
+0.0502886
+0.0509595
+0.0517146
+0.0525502
+0.0534626
+0.0544384
+0.0554785
+0.056575
+0.0577214
+0.058836
+0.0574652
+0.056125
+0.0547397
+0.0533942
+0.0520983
+0.0508326
+0.0496152
+0.0484663
+0.0473504
+0.0462922
+0.0453012
+0.0443962
+0.0435826
+0.0423079
+0.0404483
+0.0386227
+0.0367714
+0.0349335
+0.0331386
+0.0313911
+0.0296888
+0.0280542
+0.0264411
+0.0247375
+0.0229222
+0.0210194
+0.0191767
+0.0173869
+0.015697
+0.0141452
+0.0127654
+0.0115712
+0.0105415
+0.00959718
+0.00891855
+0.00865992
+0.00888827
+0.00948246
+0.00990967
+0.00937167
+0.00811405
+0.00685444
+0.005941
+0.00552608
+0.00562172
+0.00619871
+0.00716442
+0.00827914
+0.00955897
+0.0110496
+0.012483
+0.0127895
+0.013305
+0.0140709
+0.0151086
+0.0163694
+0.0178056
+0.0193836
+0.0210714
+0.0228448
+0.0231705
+0.0218014
+0.02055
+0.0194282
+0.0184988
+0.0177695
+0.0172297
+0.0169319
+0.0168149
+0.0169174
+0.017299
+0.0179418
+0.0187857
+0.0197144
+0.0207749
+0.0495937
+0.0491054
+0.0487108
+0.0484122
+0.0482114
+0.0481071
+0.0480857
+0.048164
+0.0483415
+0.0486172
+0.0489894
+0.049456
+0.0500142
+0.0506611
+0.0513675
+0.0519322
+0.0525822
+0.0533143
+0.0541252
+0.0550109
+0.0559556
+0.0569681
+0.0580457
+0.0591696
+0.0603346
+0.0591914
+0.0578004
+0.0564429
+0.055139
+0.0538672
+0.0526315
+0.0514567
+0.0503361
+0.0492453
+0.0482214
+0.0472708
+0.0464042
+0.0452196
+0.0433742
+0.0415321
+0.0396937
+0.037871
+0.036088
+0.0343397
+0.032644
+0.0310104
+0.0292706
+0.0275664
+0.025751
+0.0238648
+0.022035
+0.0202659
+0.0185796
+0.0170086
+0.0155879
+0.0143518
+0.0132453
+0.0122263
+0.0113293
+0.0107327
+0.0105194
+0.0107139
+0.0104556
+0.00925348
+0.00831953
+0.00712056
+0.00598749
+0.00521342
+0.0048428
+0.00518245
+0.00575661
+0.00657922
+0.00749272
+0.00863034
+0.0100216
+0.0103
+0.0106479
+0.0112248
+0.012111
+0.0132996
+0.0147093
+0.0162926
+0.0180037
+0.0198094
+0.0216862
+0.0234688
+0.022721
+0.0214896
+0.0204144
+0.0194849
+0.0187657
+0.0182473
+0.01786
+0.0176872
+0.0177847
+0.018148
+0.0187617
+0.0196024
+0.0205087
+0.0215301
+0.0509122
+0.0504367
+0.0500526
+0.049762
+0.0495667
+0.0494654
+0.0494446
+0.0495207
+0.0496934
+0.0499617
+0.0503239
+0.0507782
+0.0513221
+0.0519527
+0.0526669
+0.0534615
+0.0542448
+0.0549548
+0.0557418
+0.0565985
+0.0575163
+0.0585018
+0.0595516
+0.0606484
+0.061799
+0.0608649
+0.0594966
+0.0580203
+0.0565393
+0.0551057
+0.0537231
+0.0523957
+0.0511277
+0.0499237
+0.0487884
+0.0477267
+0.0467436
+0.0458322
+0.0444659
+0.0426409
+0.0408319
+0.0390512
+0.0373124
+0.0356235
+0.033884
+0.0321278
+0.0304177
+0.0285204
+0.0266501
+0.0248259
+0.023057
+0.0213663
+0.0197741
+0.0183059
+0.0169869
+0.0158504
+0.0149378
+0.0139838
+0.0131758
+0.0126665
+0.0119688
+0.0105491
+0.0093741
+0.00839126
+0.00739994
+0.00600478
+0.00475099
+0.00404346
+0.0039607
+0.0043558
+0.00491163
+0.00545922
+0.00644503
+0.00761939
+0.00798599
+0.00812128
+0.00850118
+0.00918036
+0.0102449
+0.011614
+0.013205
+0.0149485
+0.016797
+0.0186783
+0.0204565
+0.0223082
+0.0237054
+0.022526
+0.0214949
+0.0206137
+0.0199352
+0.0193259
+0.0189143
+0.0187512
+0.0188432
+0.0191864
+0.019768
+0.0205347
+0.0212936
+0.02222
+0.0522893
+0.0518264
+0.0514526
+0.0511701
+0.0509801
+0.0508817
+0.0508614
+0.0509354
+0.0511033
+0.0513642
+0.0517167
+0.0521588
+0.0526884
+0.0533029
+0.0539993
+0.0547745
+0.0556252
+0.056548
+0.0573965
+0.0582244
+0.059117
+0.0600762
+0.061099
+0.0621686
+0.0624987
+0.0608904
+0.0593193
+0.0577886
+0.0563016
+0.0548617
+0.0534729
+0.0521391
+0.0508647
+0.0496543
+0.0485127
+0.0474448
+0.0464558
+0.0455386
+0.044702
+0.0438024
+0.0420332
+0.040304
+0.0385456
+0.0367743
+0.035025
+0.0332459
+0.0313514
+0.0294947
+0.0276774
+0.0259179
+0.0242288
+0.0226259
+0.0211288
+0.0197569
+0.0185315
+0.0174956
+0.0166251
+0.0157645
+0.0141691
+0.0123419
+0.0106369
+0.00908132
+0.00768895
+0.00651347
+0.00561584
+0.00474141
+0.0036419
+0.00297586
+0.00300671
+0.00328871
+0.00355654
+0.00428092
+0.0055005
+0.00605158
+0.00579995
+0.00594889
+0.00638439
+0.00722221
+0.00852072
+0.0101238
+0.0119154
+0.0138225
+0.0156638
+0.0174742
+0.0193633
+0.0213102
+0.0233004
+0.0237128
+0.0227352
+0.0218713
+0.0210984
+0.0204934
+0.0201057
+0.0199524
+0.0200389
+0.020352
+0.0206779
+0.021226
+0.0219782
+0.0228769
+0.0537204
+0.0532699
+0.0529064
+0.0526316
+0.052447
+0.0523513
+0.0523316
+0.0524035
+0.0525668
+0.0528204
+0.0531632
+0.0535934
+0.054109
+0.0547075
+0.0553862
+0.0561423
+0.0569726
+0.057874
+0.0588431
+0.0598768
+0.0607545
+0.0616882
+0.0626847
+0.0637279
+0.0623607
+0.0607487
+0.0591739
+0.0576394
+0.0561484
+0.0547045
+0.0533115
+0.0519736
+0.0506951
+0.0494805
+0.0483348
+0.0472629
+0.04627
+0.045349
+0.0445088
+0.0437623
+0.0431142
+0.0414679
+0.039696
+0.0379483
+0.0361052
+0.0342277
+0.0323797
+0.0305769
+0.0288279
+0.0271431
+0.0255352
+0.0240196
+0.0226121
+0.0213259
+0.0201959
+0.019238
+0.0172676
+0.0152588
+0.0132909
+0.0113809
+0.00952273
+0.0078134
+0.00622906
+0.00483456
+0.00374126
+0.00290616
+0.00212581
+0.00174002
+0.00185411
+0.00181019
+0.00211618
+0.00280572
+0.00421517
+0.00395853
+0.00361683
+0.00378494
+0.00430792
+0.00543287
+0.00705734
+0.00892717
+0.010917
+0.0126897
+0.0145403
+0.0164746
+0.0184662
+0.0204985
+0.0225605
+0.0246447
+0.0240452
+0.0231374
+0.0223717
+0.0217981
+0.021434
+0.0211482
+0.0210541
+0.0211873
+0.0215437
+0.0220748
+0.0227771
+0.0236454
+0.0552014
+0.0547631
+0.0544096
+0.0541424
+0.053963
+0.0538699
+0.0538508
+0.0539207
+0.0540794
+0.054326
+0.0546593
+0.0550779
+0.0555797
+0.0561625
+0.0568238
+0.057561
+0.0583711
+0.0592512
+0.0601982
+0.061209
+0.0622804
+0.063335
+0.064306
+0.0638792
+0.0622995
+0.0606859
+0.0591094
+0.0575731
+0.0560804
+0.0546347
+0.0532399
+0.0519001
+0.0506198
+0.0494034
+0.0482558
+0.0471821
+0.0461875
+0.0452648
+0.0444231
+0.043675
+0.0430257
+0.0424794
+0.0408931
+0.0390008
+0.0371328
+0.0353008
+0.033512
+0.0317735
+0.0300942
+0.0284844
+0.0269566
+0.0255241
+0.0241943
+0.0229088
+0.0207974
+0.0187
+0.0166191
+0.0145705
+0.0125699
+0.010617
+0.00866729
+0.006771
+0.00500799
+0.00337936
+0.00195997
+0.000900475
+0.000152931
+0.000809213
+0.000122096
+0.000624514
+0.00048717
+0.00136391
+0.00259937
+0.00201459
+0.0014462
+0.00165125
+0.00237192
+0.00403952
+0.00605043
+0.00804361
+0.00979267
+0.0116915
+0.0136779
+0.0157187
+0.0177951
+0.0198961
+0.0220143
+0.0241222
+0.0253588
+0.0244209
+0.0235768
+0.0228815
+0.0223696
+0.0220642
+0.0219741
+0.0221018
+0.0224063
+0.0228726
+0.0235344
+0.0243758
+0.0567283
+0.0563019
+0.0559581
+0.0556984
+0.055524
+0.0554336
+0.055415
+0.0554829
+0.0556371
+0.0558768
+0.056201
+0.0566081
+0.0570965
+0.057664
+0.0583083
+0.0590269
+0.0598172
+0.0606763
+0.0616014
+0.0625895
+0.0636377
+0.0647431
+0.0653876
+0.063935
+0.0623153
+0.0607021
+0.0591261
+0.0575902
+0.0560979
+0.0546527
+0.0532584
+0.0519191
+0.0506392
+0.0494233
+0.0482762
+0.047203
+0.0462088
+0.0452866
+0.0444452
+0.0436976
+0.0430485
+0.0425026
+0.0419194
+0.0400667
+0.0382498
+0.0364741
+0.0347457
+0.0330721
+0.0314621
+0.029926
+0.0284754
+0.0269312
+0.0247752
+0.0226259
+0.0204853
+0.0183523
+0.0162269
+0.0141215
+0.0120465
+0.0100208
+0.00800868
+0.00601518
+0.00411891
+0.00244257
+0.000755407
+-0.000685798
+-0.00145472
+-0.000607389
+-0.00151101
+-0.000865077
+-0.0012277
+-0.000245451
+0.0014486
+0.000530174
+-0.000621039
+-9.71596e-05
+0.00135711
+0.00350918
+0.00532574
+0.00706839
+0.00900882
+0.0110433
+0.0131281
+0.0152316
+0.0173338
+0.0194556
+0.0215911
+0.0237323
+0.0258747
+0.0253782
+0.0245294
+0.0238522
+0.0233615
+0.0230693
+0.0229823
+0.0230687
+0.0233566
+0.0238112
+0.0244476
+0.0252551
+0.0582976
+0.0578828
+0.0575484
+0.0572959
+0.0571263
+0.0570385
+0.0570204
+0.0570864
+0.0572363
+0.0574694
+0.0577846
+0.0581807
+0.0586559
+0.0592085
+0.0598362
+0.0605367
+0.0613075
+0.062146
+0.0630495
+0.0640153
+0.0650405
+0.0661225
+0.0655043
+0.0640532
+0.0624081
+0.0607973
+0.0592238
+0.0576906
+0.0562009
+0.0547584
+0.0533669
+0.0520285
+0.0507491
+0.0495335
+0.0483867
+0.0473135
+0.0463192
+0.0453967
+0.0445574
+0.0438117
+0.0431644
+0.0426199
+0.0421824
+0.0412207
+0.039457
+0.0377381
+0.0360703
+0.0344611
+0.0329192
+0.0312051
+0.0290359
+0.0268701
+0.0247088
+0.0225531
+0.0204049
+0.0182625
+0.0161253
+0.0140046
+0.0119093
+0.00985545
+0.00783921
+0.00588603
+0.00392558
+0.00229552
+0.000932155
+-0.00052102
+-0.00157259
+-0.00102996
+-0.00230585
+-0.00221915
+-0.00237037
+-0.00100127
+0.00117864
+-5.32144e-05
+-0.00153189
+-0.000950374
+0.000924876
+0.00276316
+0.0046703
+0.00668605
+0.00868094
+0.0107249
+0.0128174
+0.0149381
+0.017066
+0.0192025
+0.02135
+0.0235055
+0.0256669
+0.0264175
+0.0256117
+0.0249639
+0.0244955
+0.0242162
+0.0240999
+0.024178
+0.0244529
+0.0248874
+0.0254969
+0.0262722
+0.0599059
+0.0595023
+0.0591771
+0.0589315
+0.0587667
+0.0586813
+0.0586637
+0.0587279
+0.0588736
+0.0591002
+0.0594068
+0.0597921
+0.0602547
+0.0607927
+0.0614042
+0.062087
+0.0628388
+0.0636572
+0.0645395
+0.0654833
+0.0664859
+0.0671799
+0.0656939
+0.0642094
+0.0625686
+0.0609624
+0.0593936
+0.057864
+0.0563769
+0.0549369
+0.0535478
+0.0522138
+0.050939
+0.0497281
+0.0485858
+0.0475171
+0.0465271
+0.0456089
+0.0447735
+0.0440315
+0.0433874
+0.0428458
+0.0424106
+0.0420851
+0.0407463
+0.0390841
+0.0374749
+0.0356401
+0.0334716
+0.0313061
+0.0291444
+0.0269873
+0.0248362
+0.0226862
+0.0205412
+0.018407
+0.0162878
+0.0141904
+0.012126
+0.0101148
+0.00819617
+0.00619997
+0.00433457
+0.00270086
+0.00149504
+0.000390357
+0.000314923
+0.000460569
+-0.000152956
+-0.000212976
+-0.000193182
+0.000321107
+0.00174301
+0.000614343
+-0.000385412
+-0.00063083
+0.000273798
+0.00224178
+0.00426522
+0.0063494
+0.00848412
+0.0106289
+0.012727
+0.0148519
+0.0169843
+0.0191266
+0.0212788
+0.0234381
+0.0256027
+0.0275661
+0.0268023
+0.0261872
+0.025741
+0.0254684
+0.0253537
+0.025428
+0.0256895
+0.0261016
+0.0266835
+0.0274269
+0.0615502
+0.0611574
+0.060841
+0.0606022
+0.060442
+0.0603589
+0.0603418
+0.0604042
+0.0605459
+0.0607663
+0.0610645
+0.0614394
+0.0618896
+0.0624136
+0.0630093
+0.0636749
+0.0644082
+0.0652069
+0.0660686
+0.0669908
+0.0679712
+0.0674359
+0.0659557
+0.0644341
+0.0627992
+0.0611991
+0.0596364
+0.0581133
+0.0566327
+0.0551994
+0.0538171
+0.0524898
+0.0512219
+0.0500179
+0.0488824
+0.0478203
+0.0468367
+0.0459247
+0.0450952
+0.0443585
+0.0437193
+0.0431818
+0.04275
+0.0424271
+0.0420548
+0.0401789
+0.0380142
+0.0358527
+0.033695
+0.0315418
+0.0293941
+0.0272533
+0.0251211
+0.023
+0.0208931
+0.018801
+0.0167317
+0.0146978
+0.012716
+0.0107101
+0.0087296
+0.0068528
+0.00518275
+0.00382434
+0.00293007
+0.00230482
+0.00244514
+0.00233207
+0.00201965
+0.00197442
+0.0019902
+0.00235937
+0.00320843
+0.002249
+0.00176038
+0.00155379
+0.00177556
+0.0029595
+0.00470163
+0.00667658
+0.00873164
+0.0108349
+0.0129132
+0.0150118
+0.0171242
+0.019251
+0.0213906
+0.0235397
+0.0256958
+0.0278572
+0.0281061
+0.0275171
+0.0270929
+0.0268273
+0.0267185
+0.0267889
+0.0270373
+0.0274344
+0.0279886
+0.0286996
+0.0632251
+0.0628428
+0.062535
+0.0623027
+0.0621468
+0.0620679
+0.0620519
+0.0621126
+0.0622504
+0.0624647
+0.0627549
+0.0631198
+0.0635581
+0.0640684
+0.0646489
+0.0652978
+0.066013
+0.0667925
+0.067634
+0.0685352
+0.0692728
+0.0677619
+0.0662889
+0.0647322
+0.063105
+0.0615128
+0.0599584
+0.0584436
+0.0569716
+0.0555471
+0.0541736
+0.0528553
+0.0515964
+0.0504013
+0.0492746
+0.0482212
+0.047246
+0.046342
+0.0455201
+0.0447904
+0.0441574
+0.0436254
+0.043198
+0.0428785
+0.0426246
+0.0404722
+0.0383241
+0.0361811
+0.0340442
+0.0319146
+0.0297938
+0.0276839
+0.0255876
+0.0235086
+0.0214518
+0.0194242
+0.017404
+0.0153724
+0.0133725
+0.0114423
+0.00959804
+0.0079257
+0.00647743
+0.0054371
+0.0047762
+0.0043705
+0.00461508
+0.00442649
+0.00419554
+0.00416054
+0.00417746
+0.00443801
+0.00501215
+0.00425818
+0.00392428
+0.00373001
+0.00385866
+0.00459146
+0.00588288
+0.00755581
+0.009421
+0.0113978
+0.0134126
+0.0154571
+0.0175367
+0.0196207
+0.021724
+0.023843
+0.0259739
+0.028114
+0.0295085
+0.028948
+0.0285451
+0.0282872
+0.028184
+0.0282509
+0.0284865
+0.0288721
+0.0293991
+0.0300769
+0.0649237
+0.0645515
+0.0642518
+0.0640258
+0.0638741
+0.0637973
+0.0637914
+0.0638504
+0.0639845
+0.064193
+0.0644754
+0.0648306
+0.0652574
+0.0657545
+0.0663203
+0.066953
+0.0676507
+0.0684116
+0.0692334
+0.070114
+0.0696591
+0.0681567
+0.0666925
+0.0651027
+0.063485
+0.0619026
+0.0603582
+0.0588537
+0.0573922
+0.0559784
+0.0546158
+0.0533084
+0.0520604
+0.0508762
+0.0497603
+0.0487174
+0.0477523
+0.0468581
+0.0460454
+0.0453242
+0.0446988
+0.0441733
+0.0437512
+0.0434358
+0.0430129
+0.0408809
+0.0387555
+0.0366378
+0.0345291
+0.0324314
+0.0303467
+0.0282781
+0.026208
+0.0241535
+0.0221252
+0.0201309
+0.0181445
+0.0161896
+0.0142855
+0.0124754
+0.0107963
+0.00931591
+0.00811077
+0.00725927
+0.00678294
+0.00649642
+0.00678329
+0.00655424
+0.00637282
+0.00634686
+0.00636608
+0.0065764
+0.00700674
+0.00638271
+0.00609387
+0.00590956
+0.00600193
+0.00649876
+0.00750536
+0.00889782
+0.0105293
+0.0123297
+0.0142131
+0.0161566
+0.0181562
+0.0201955
+0.0222636
+0.0243404
+0.0264313
+0.0285371
+0.0306548
+0.0304694
+0.0300868
+0.0298367
+0.0297389
+0.0298022
+0.0300257
+0.0303998
+0.0309008
+0.0315463
+0.0666511
+0.0662885
+0.0659968
+0.0657767
+0.0656291
+0.0655543
+0.0655528
+0.0656154
+0.0657458
+0.0659488
+0.0662237
+0.0665695
+0.0669853
+0.0674697
+0.0680212
+0.0686382
+0.069319
+0.0700617
+0.0708644
+0.0716401
+0.0701117
+0.0686193
+0.0671651
+0.0655444
+0.0639379
+0.0623669
+0.0608343
+0.0593419
+0.0578927
+0.0564914
+0.0551415
+0.0538469
+0.0526117
+0.0514402
+0.0503368
+0.0493061
+0.0483527
+0.0474698
+0.0466678
+0.0459563
+0.0453396
+0.0448216
+0.0444058
+0.044095
+0.0435082
+0.0414017
+0.0393045
+0.037218
+0.0351282
+0.0330474
+0.0309818
+0.0289345
+0.0269098
+0.0249066
+0.0229291
+0.0209939
+0.0190794
+0.0172158
+0.0154384
+0.013766
+0.0122527
+0.0109464
+0.00991557
+0.00922698
+0.00885278
+0.00864291
+0.00884733
+0.00869793
+0.00855134
+0.00853453
+0.00855476
+0.00874075
+0.00901541
+0.00854073
+0.00826954
+0.00809445
+0.00815919
+0.00852164
+0.00936219
+0.010512
+0.0119406
+0.0135548
+0.015288
+0.0171098
+0.0190094
+0.0209659
+0.0229647
+0.0249957
+0.0270516
+0.0291193
+0.0311975
+0.0320683
+0.0317049
+0.0314625
+0.0313698
+0.0314298
+0.0316418
+0.0320027
+0.0324809
+0.0330956
+0.068405
+0.0680518
+0.0677676
+0.0675533
+0.0674095
+0.0673368
+0.0673353
+0.067405
+0.0675323
+0.0677299
+0.0679976
+0.0683345
+0.0687396
+0.0692117
+0.0697494
+0.0703513
+0.0710156
+0.0717408
+0.0725249
+0.0721468
+0.0706294
+0.0691482
+0.0676829
+0.0660558
+0.064462
+0.0629041
+0.0613849
+0.0599062
+0.0584711
+0.0570839
+0.0557484
+0.0544682
+0.0532474
+0.0520902
+0.0510009
+0.0499839
+0.0490437
+0.0481734
+0.0473833
+0.0466828
+0.0460758
+0.0455662
+0.0451572
+0.0448516
+0.0440941
+0.0420005
+0.0399172
+0.0378461
+0.0357892
+0.0337492
+0.0317293
+0.0297217
+0.0277414
+0.0257952
+0.0238913
+0.0220256
+0.0201963
+0.0184447
+0.0167821
+0.0152535
+0.0138945
+0.0127261
+0.0118455
+0.0112448
+0.0109396
+0.0108011
+0.0109606
+0.0108604
+0.0107344
+0.0107234
+0.0107435
+0.0109156
+0.0110719
+0.010712
+0.0104515
+0.0102818
+0.0103282
+0.0106098
+0.0112995
+0.0123017
+0.0135566
+0.0150013
+0.0165841
+0.0182771
+0.0200665
+0.0219289
+0.0238471
+0.0258088
+0.0278046
+0.0298279
+0.0318733
+0.0337338
+0.0333853
+0.0331534
+0.0330654
+0.0331224
+0.0333236
+0.0336665
+0.0341271
+0.0347126
+0.0701834
+0.0698392
+0.0695623
+0.0693535
+0.0692135
+0.0691427
+0.0691412
+0.0692091
+0.0693419
+0.0695344
+0.0697952
+0.0701234
+0.0705183
+0.0709785
+0.071503
+0.0720902
+0.0727387
+0.0734468
+0.0742129
+0.072716
+0.0712108
+0.0697419
+0.0682486
+0.0666353
+0.0650557
+0.0635124
+0.0620081
+0.0605446
+0.059125
+0.0577535
+0.0564338
+0.0551696
+0.0539647
+0.0528232
+0.0517493
+0.0507473
+0.0498215
+0.0489645
+0.0481873
+0.0474984
+0.0469019
+0.0464012
+0.0459995
+0.0456994
+0.0447299
+0.0426675
+0.0406185
+0.038585
+0.0365649
+0.0345602
+0.0325794
+0.0306272
+0.0287095
+0.0268335
+0.0250042
+0.0232018
+0.0214713
+0.0198235
+0.0182867
+0.0168947
+0.0156457
+0.014618
+0.0138304
+0.0133174
+0.0130605
+0.01297
+0.0130994
+0.0130323
+0.01292
+0.0129129
+0.0129321
+0.0130957
+0.0131716
+0.0128899
+0.0126364
+0.0124703
+0.0125047
+0.0127325
+0.0133127
+0.0141805
+0.0152819
+0.0166007
+0.018045
+0.0196204
+0.0212972
+0.0230604
+0.0248916
+0.0267768
+0.0287055
+0.0306693
+0.0326621
+0.0346787
+0.0351139
+0.0349
+0.0348164
+0.0348705
+0.0350617
+0.0353817
+0.0358131
+0.0363715
+0.0719845
+0.071649
+0.0713791
+0.0711757
+0.0710393
+0.0709703
+0.0709688
+0.071035
+0.0711667
+0.0713543
+0.0716084
+0.0719284
+0.0723134
+0.0727623
+0.073274
+0.0738471
+0.0744803
+0.075172
+0.0748727
+0.0733463
+0.0718543
+0.0703988
+0.0688794
+0.0672812
+0.0657171
+0.0641897
+0.0627017
+0.0612548
+0.059852
+0.0584976
+0.0571951
+0.055948
+0.0547602
+0.0536356
+0.0525783
+0.0515924
+0.0506691
+0.0498221
+0.0490584
+0.0483819
+0.0477963
+0.047305
+0.046911
+0.0466167
+0.0454625
+0.0434349
+0.0414151
+0.0394135
+0.0374332
+0.0354775
+0.0335509
+0.0316587
+0.0298074
+0.0280022
+0.0262228
+0.0245101
+0.0228785
+0.0213386
+0.019919
+0.018623
+0.0174962
+0.0165835
+0.0158693
+0.0154226
+0.0152013
+0.0151453
+0.0152529
+0.0152096
+0.0151071
+0.0151028
+0.015121
+0.0152789
+0.015297
+0.0150715
+0.0148231
+0.0146595
+0.0146855
+0.0148749
+0.0153745
+0.0161381
+0.017114
+0.0183013
+0.0196394
+0.0210973
+0.0226733
+0.024337
+0.0260787
+0.0278838
+0.0297407
+0.0316404
+0.0335755
+0.0355403
+0.0368825
+0.0366815
+0.036602
+0.0366535
+0.0368354
+0.0371393
+0.0375505
+0.0380835
+0.0738068
+0.0734796
+0.0732164
+0.0730181
+0.0728852
+0.0728179
+0.0728165
+0.072881
+0.0730104
+0.0731933
+0.073441
+0.0737531
+0.0741286
+0.0745665
+0.0750659
+0.0756255
+0.0762439
+0.0769198
+0.0755486
+0.0740361
+0.0725582
+0.0711171
+0.0695734
+0.0679915
+0.0664442
+0.0649339
+0.0634633
+0.0620342
+0.0606494
+0.0593132
+0.058029
+0.0568003
+0.0556307
+0.0545241
+0.0534839
+0.0525008
+0.0515909
+0.0507594
+0.05001
+0.0493465
+0.0487725
+0.0482912
+0.0479053
+0.0476171
+0.0462755
+0.0442768
+0.0422972
+0.0403395
+0.0384068
+0.0365034
+0.0346339
+0.0328042
+0.0310199
+0.02926
+0.0275619
+0.0259378
+0.0244012
+0.0229629
+0.0216343
+0.0204388
+0.0194176
+0.0185849
+0.0179439
+0.0175488
+0.0173544
+0.0173244
+0.0174156
+0.0173902
+0.0172951
+0.0172929
+0.0173103
+0.0174413
+0.0174309
+0.0172462
+0.017002
+0.0168491
+0.016863
+0.0170257
+0.0174639
+0.0181491
+0.0190221
+0.020097
+0.0213399
+0.0226887
+0.0241612
+0.0257361
+0.0273898
+0.0291137
+0.0308968
+0.0327295
+0.0346037
+0.0365133
+0.0384528
+0.0385029
+0.0384271
+0.0384762
+0.0386495
+0.0389399
+0.0393333
+0.0398424
+0.0756486
+0.0753293
+0.0750727
+0.0748793
+0.0747497
+0.0746841
+0.0746827
+0.0747456
+0.0748723
+0.0750511
+0.0752928
+0.0755972
+0.0759635
+0.076391
+0.0768785
+0.077425
+0.0780292
+0.0778118
+0.0762813
+0.0747837
+0.0733209
+0.0718951
+0.0703289
+0.0687644
+0.0672348
+0.0657427
+0.0642906
+0.0628803
+0.0615146
+0.0601976
+0.0589327
+0.0577232
+0.0565727
+0.0554834
+0.0544474
+0.0534809
+0.052588
+0.0517724
+0.0510379
+0.050388
+0.049826
+0.0493549
+0.0489774
+0.0486956
+0.0471684
+0.0452093
+0.0432724
+0.0413608
+0.0394782
+0.037629
+0.0358183
+0.034052
+0.0323087
+0.030623
+0.0290048
+0.0274661
+0.0260193
+0.0246671
+0.0234215
+0.0223219
+0.0213908
+0.0206191
+0.0200433
+0.0196891
+0.019516
+0.0195061
+0.0195822
+0.0195731
+0.0194837
+0.0194831
+0.0194999
+0.0195896
+0.0195381
+0.0194145
+0.0191774
+0.0190389
+0.0190389
+0.0191832
+0.0195731
+0.0201944
+0.0209854
+0.0219644
+0.0231102
+0.0243733
+0.0257496
+0.0272328
+0.0288064
+0.0304517
+0.0321607
+0.0339252
+0.0357368
+0.0375888
+0.0394755
+0.0403609
+0.0402887
+0.0403354
+0.0405008
+0.040778
+0.0411554
+0.0416423
+0.0775085
+0.077197
+0.0769466
+0.0767579
+0.0766314
+0.0765674
+0.0765661
+0.0766274
+0.0767512
+0.0769265
+0.0771623
+0.0774593
+0.0778169
+0.0782343
+0.0787104
+0.0792442
+0.0798346
+0.0785846
+0.0770694
+0.0755874
+0.0741404
+0.0727231
+0.0711438
+0.0695976
+0.0680868
+0.0666138
+0.0651811
+0.0637905
+0.0624446
+0.0611477
+0.0599028
+0.0587133
+0.0575795
+0.0564968
+0.0554796
+0.0545314
+0.053656
+0.0528569
+0.0521376
+0.0515016
+0.0509519
+0.0504913
+0.0501224
+0.049847
+0.0481446
+0.0462269
+0.0443344
+0.0424706
+0.0406395
+0.0388456
+0.0370944
+0.0353661
+0.0336909
+0.0320778
+0.0305368
+0.0290793
+0.0277143
+0.0264308
+0.0252723
+0.0242568
+0.0233969
+0.0226816
+0.0221604
+0.0218394
+0.0216834
+0.0216792
+0.0217509
+0.0217576
+0.0216727
+0.0216734
+0.0216897
+0.0217237
+0.0216619
+0.0215841
+0.0213558
+0.0212289
+0.0212179
+0.0213474
+0.0216985
+0.0222606
+0.0229899
+0.0238869
+0.0249445
+0.0261331
+0.0274212
+0.0288185
+0.0303098
+0.0318821
+0.0335203
+0.0352167
+0.0369651
+0.0387585
+0.0405909
+0.0422509
+0.0421819
+0.0422266
+0.0423846
+0.0426495
+0.043012
+0.043478
+0.0793853
+0.0790812
+0.0788368
+0.0786526
+0.0785292
+0.0784668
+0.0784655
+0.0785253
+0.0786461
+0.0788182
+0.0790483
+0.0793383
+0.0796875
+0.080095
+0.0805602
+0.0810818
+0.0809409
+0.0794102
+0.0779111
+0.0764454
+0.075015
+0.0735668
+0.072006
+0.0704787
+0.0689872
+0.0675338
+0.0661211
+0.0647516
+0.0634283
+0.0621541
+0.0609319
+0.0597626
+0.0586384
+0.0575757
+0.0565778
+0.0556484
+0.0547908
+0.0540085
+0.0533048
+0.0526828
+0.0521456
+0.0516956
+0.0513353
+0.0510665
+0.049199
+0.047324
+0.0454772
+0.0436623
+0.0418833
+0.040145
+0.0384299
+0.0367638
+0.0351552
+0.0336125
+0.0321452
+0.030764
+0.0294585
+0.0282544
+0.0271737
+0.0262319
+0.0254227
+0.0247659
+0.0242897
+0.023997
+0.023855
+0.0238388
+0.0239233
+0.0239432
+0.0238621
+0.0238637
+0.0238797
+0.0238682
+0.0237978
+0.0237553
+0.0235366
+0.023419
+0.0233991
+0.0235166
+0.0238357
+0.0243485
+0.0250256
+0.0258521
+0.0268324
+0.0279503
+0.0291616
+0.0304792
+0.031893
+0.0333908
+0.0349617
+0.0365939
+0.0382795
+0.040014
+0.0417913
+0.0436064
+0.0441026
+0.0441454
+0.0442965
+0.0445501
+0.0448986
+0.0453264
+0.0812778
+0.0809808
+0.0807421
+0.0805624
+0.0804419
+0.0803809
+0.0803796
+0.080438
+0.080556
+0.0807249
+0.0809496
+0.0812328
+0.0815739
+0.0819721
+0.0824266
+0.0829366
+0.0818015
+0.0802872
+0.0788048
+0.077356
+0.0759428
+0.0744628
+0.0729212
+0.0714134
+0.0699419
+0.0685087
+0.0671165
+0.0657678
+0.0644654
+0.063212
+0.0620108
+0.0608624
+0.0597589
+0.0587164
+0.0577383
+0.0568278
+0.0559883
+0.055223
+0.0545349
+0.0539272
+0.0534025
+0.0529632
+0.0526116
+0.0521858
+0.0503267
+0.0484953
+0.0466949
+0.0449292
+0.0432024
+0.0414989
+0.0398406
+0.038236
+0.036692
+0.0352167
+0.0338191
+0.0324995
+0.031259
+0.0301269
+0.0291158
+0.0282372
+0.0274738
+0.0268672
+0.0264289
+0.0261602
+0.0260299
+0.0260035
+0.0260987
+0.0261296
+0.0260516
+0.0260542
+0.0260698
+0.02601
+0.0259428
+0.0259297
+0.025719
+0.0256092
+0.0255818
+0.0256893
+0.0259818
+0.026453
+0.0270855
+0.0278509
+0.0287632
+0.0298088
+0.0309592
+0.0322034
+0.0335446
+0.0349717
+0.0364746
+0.0380444
+0.0396713
+0.0413475
+0.0430699
+0.0448331
+0.0460475
+0.0460884
+0.0462332
+0.0464642
+0.0467921
+0.0472012
+0.083185
+0.0828948
+0.0826617
+0.0824861
+0.0823684
+0.0823089
+0.0823076
+0.0823647
+0.0824799
+0.0826458
+0.0828653
+0.083142
+0.0834752
+0.0838644
+0.0843087
+0.0842387
+0.0827111
+0.0812138
+0.0797486
+0.0783173
+0.0769217
+0.0754118
+0.07389
+0.0724024
+0.0709514
+0.069539
+0.0681679
+0.0668404
+0.0655593
+0.0643272
+0.0631472
+0.0620201
+0.0609376
+0.0599156
+0.0589574
+0.058066
+0.0572447
+0.0564964
+0.055824
+0.0552305
+0.0547182
+0.0542896
+0.0539467
+0.0533404
+0.051523
+0.0497357
+0.0479818
+0.0462652
+0.0445719
+0.0429205
+0.0413193
+0.0397744
+0.0382925
+0.0368813
+0.0355491
+0.0342802
+0.0331065
+0.0320398
+0.031091
+0.0302566
+0.0295449
+0.0289818
+0.0285759
+0.0283275
+0.0281958
+0.0281723
+0.0282765
+0.0283167
+0.0282413
+0.0282446
+0.0282599
+0.028157
+0.0280949
+0.0281067
+0.0279027
+0.0277996
+0.0277658
+0.0278649
+0.0281348
+0.0285705
+0.0291645
+0.0298767
+0.0307288
+0.0317097
+0.0328047
+0.0339813
+0.035255
+0.0366155
+0.0380535
+0.0395607
+0.0411293
+0.0427517
+0.0444197
+0.0461314
+0.0478821
+0.0480235
+0.0481432
+0.048362
+0.0486785
+0.0490908
+0.0851058
+0.0848222
+0.0845944
+0.0844228
+0.0843078
+0.0842496
+0.0842484
+0.0843042
+0.0844167
+0.0845798
+0.0847942
+0.0850646
+0.0853904
+0.0857709
+0.0862054
+0.0851787
+0.0836682
+0.0821884
+0.0807409
+0.0793275
+0.077946
+0.0764118
+0.0749103
+0.0734435
+0.0720134
+0.0706223
+0.0692726
+0.0679667
+0.0667072
+0.0654967
+0.0643381
+0.0632325
+0.0621711
+0.0611698
+0.0602315
+0.0593593
+0.0585561
+0.0578247
+0.057168
+0.0565886
+0.0560887
+0.0556707
+0.0553363
+0.0545585
+0.052783
+0.0510399
+0.0493324
+0.0476481
+0.0460029
+0.0444048
+0.0428591
+0.0413717
+0.0399491
+0.0385985
+0.0373141
+0.0361061
+0.0349937
+0.0339862
+0.0330932
+0.0322979
+0.0316322
+0.0311068
+0.030729
+0.03049
+0.0303633
+0.0303442
+0.0304562
+0.0305044
+0.0304312
+0.0304351
+0.0304502
+0.0303102
+0.0302525
+0.0302856
+0.0300875
+0.0299899
+0.0299508
+0.0300427
+0.0302932
+0.0306983
+0.0312521
+0.0319242
+0.0327231
+0.0336459
+0.0346827
+0.0358051
+0.037016
+0.038314
+0.0396906
+0.0411378
+0.0426485
+0.0442161
+0.0458345
+0.0474952
+0.0491975
+0.0499581
+0.0500732
+0.0502836
+0.0505881
+0.0509849
+0.0870394
+0.0867621
+0.0865393
+0.0863716
+0.0862592
+0.0862024
+0.0862012
+0.0862557
+0.0863657
+0.0865259
+0.0867356
+0.087
+0.0873185
+0.0876907
+0.0876864
+0.0861641
+0.0846713
+0.0832092
+0.0817798
+0.0803847
+0.0789747
+0.0774609
+0.0759801
+0.0745343
+0.0731256
+0.0717561
+0.0704281
+0.069144
+0.0679063
+0.0667177
+0.0655807
+0.0644965
+0.0634563
+0.0624756
+0.0615572
+0.0607041
+0.0599189
+0.0592044
+0.0585631
+0.0579976
+0.05751
+0.0571024
+0.0567764
+0.055836
+0.0541025
+0.0524033
+0.050727
+0.0490872
+0.0474918
+0.0459455
+0.0444535
+0.0430212
+0.041655
+0.0403577
+0.0391211
+0.0379706
+0.0369144
+0.0359608
+0.0351084
+0.0343576
+0.0337325
+0.0332404
+0.0328871
+0.0326539
+0.0325339
+0.0325186
+0.0326354
+0.0326924
+0.0326212
+0.0326257
+0.032623
+0.0324684
+0.0324146
+0.0324661
+0.032273
+0.0321762
+0.0321366
+0.0322223
+0.0324559
+0.0328344
+0.0333527
+0.0339896
+0.034741
+0.0356116
+0.0365927
+0.0376679
+0.0388208
+0.0400604
+0.0413789
+0.042769
+0.044224
+0.0457377
+0.0473044
+0.0489191
+0.0505735
+0.0519131
+0.0520239
+0.0522264
+0.0525196
+0.052902
+0.0889848
+0.0887136
+0.0884958
+0.0883318
+0.0882219
+0.0881664
+0.0881652
+0.0882185
+0.088326
+0.0884836
+0.0886886
+0.0889472
+0.0892588
+0.0896229
+0.088698
+0.0871935
+0.0857185
+0.0842747
+0.0828634
+0.0814865
+0.0800502
+0.0785571
+0.0770974
+0.075673
+0.0742858
+0.0729381
+0.071632
+0.0703699
+0.0691542
+0.0679873
+0.0668719
+0.0658092
+0.0647902
+0.0638299
+0.0629313
+0.062097
+0.0613297
+0.0606318
+0.0600058
+0.059454
+0.0589785
+0.0585811
+0.0582633
+0.057169
+0.0554771
+0.0538081
+0.0521731
+0.0505802
+0.0490335
+0.0475373
+0.0460968
+0.0447173
+0.0434045
+0.0421481
+0.0409655
+0.0398683
+0.0388637
+0.037959
+0.0371415
+0.0364326
+0.0358437
+0.035381
+0.0350458
+0.0348202
+0.034707
+0.0346951
+0.0348045
+0.0348795
+0.0348113
+0.0348162
+0.0347854
+0.0346307
+0.0345802
+0.0346479
+0.0344592
+0.0343601
+0.034323
+0.0344032
+0.0346222
+0.0349772
+0.0354642
+0.0360698
+0.0367788
+0.0376021
+0.0385326
+0.0395627
+0.0406635
+0.0418486
+0.0431124
+0.0444484
+0.0458501
+0.0473118
+0.048828
+0.0503939
+0.0520049
+0.0536541
+0.0539929
+0.0541881
+0.0544708
+0.0548395
+0.0909415
+0.0906761
+0.090463
+0.0903026
+0.0901951
+0.0901408
+0.0901396
+0.0901917
+0.0902969
+0.0904519
+0.0906525
+0.0909055
+0.0912104
+0.0912667
+0.0897518
+0.0882651
+0.0868081
+0.0853823
+0.0839895
+0.0826314
+0.0811705
+0.0796985
+0.07826
+0.0768571
+0.0754917
+0.0741659
+0.0728819
+0.0716418
+0.070448
+0.0693029
+0.068209
+0.0671677
+0.0661696
+0.0652297
+0.0643506
+0.063535
+0.0627852
+0.0621037
+0.0614927
+0.0609544
+0.0604906
+0.0601032
+0.0597936
+0.0585536
+0.056891
+0.0552604
+0.0536697
+0.0521226
+0.050623
+0.0491752
+0.0477841
+0.0464547
+0.0451847
+0.0439746
+0.0428425
+0.0417946
+0.0408374
+0.0399716
+0.0391915
+0.0385204
+0.0379639
+0.0375273
+0.0372032
+0.0369888
+0.0368822
+0.0368732
+0.0369762
+0.0370656
+0.0370014
+0.0370068
+0.036951
+0.0367963
+0.0367488
+0.0368307
+0.0366456
+0.0365448
+0.0365099
+0.0365853
+0.0367913
+0.0371256
+0.0375848
+0.0381623
+0.0388331
+0.0396138
+0.0404981
+0.0414794
+0.0425393
+0.0436734
+0.0448859
+0.0461706
+0.0475215
+0.0489333
+0.0504008
+0.0519193
+0.0534844
+0.0550921
+0.0559785
+0.0561667
+0.0564395
+0.0567955
+0.0883314
+0.0868632
+0.0854034
+0.0839495
+0.0825193
+0.0811208
+0.0797578
+0.0784234
+0.0770501
+0.0757154
+0.074331
+0.0729712
+0.0716526
+0.0703619
+0.0691007
+0.0678203
+0.0665295
+0.0652868
+0.0640948
+0.0629565
+0.0618749
+0.0607607
+0.0596673
+0.0586224
+0.0576315
+0.056708
+0.0558552
+0.0549437
+0.0539658
+0.0530574
+0.0522176
+0.0514534
+0.0507204
+0.0500476
+0.049462
+0.0488924
+0.0480364
+0.0471574
+0.0463159
+0.0455582
+0.0448947
+0.0443109
+0.0438267
+0.0434477
+0.0431767
+0.0429841
+0.0428693
+0.0428463
+0.0429336
+0.0431321
+0.0434404
+0.043856
+0.0443167
+0.0448763
+0.0455345
+0.0462871
+0.0471296
+0.0480573
+0.0490654
+0.0501364
+0.0511911
+0.0504551
+0.0497846
+0.0491955
+0.0486824
+0.0481964
+0.047432
+0.0467524
+0.0461618
+0.0456686
+0.0452763
+0.0449873
+0.0448036
+0.0447267
+0.044757
+0.044877
+0.0448978
+0.0449798
+0.045168
+0.0454612
+0.0458572
+0.0463535
+0.0469469
+0.0476337
+0.04841
+0.0492715
+0.0502139
+0.0512294
+0.0523121
+0.0534627
+0.0546769
+0.0559505
+0.0572797
+0.0586605
+0.0598689
+0.0608536
+0.0619002
+0.0630056
+0.0641668
+0.0653807
+0.0867208
+0.0852708
+0.0838055
+0.0823376
+0.080888
+0.0794632
+0.0780713
+0.0767167
+0.0753769
+0.074012
+0.0726652
+0.0712804
+0.0699299
+0.0686228
+0.0673369
+0.0660751
+0.0647852
+0.0635083
+0.0622823
+0.0611103
+0.0599954
+0.0589244
+0.0577963
+0.0567302
+0.0557057
+0.0547497
+0.0538659
+0.0530015
+0.0520278
+0.0510881
+0.0502171
+0.0494249
+0.0486924
+0.0479913
+0.0473811
+0.0468018
+0.0460697
+0.0451572
+0.0442953
+0.0435024
+0.0428071
+0.0421997
+0.041691
+0.0412924
+0.0410071
+0.0408075
+0.0406866
+0.040663
+0.0407549
+0.040964
+0.0412885
+0.0417138
+0.0421942
+0.0427816
+0.0434715
+0.0442592
+0.0451396
+0.0461074
+0.0471515
+0.0482614
+0.0491619
+0.0484009
+0.0477067
+0.0470915
+0.0465652
+0.0460828
+0.0454456
+0.0447395
+0.0441219
+0.0436058
+0.0431946
+0.0428916
+0.042699
+0.0426182
+0.0426498
+0.0427335
+0.0427122
+0.0427984
+0.0429962
+0.0433041
+0.0437196
+0.0442399
+0.0448613
+0.0455795
+0.0463902
+0.0472886
+0.0482697
+0.0493206
+0.0504443
+0.0516366
+0.0528927
+0.0542083
+0.0555791
+0.0570012
+0.0580823
+0.0590968
+0.060174
+0.0613105
+0.0625032
+0.0637488
+0.0851187
+0.0836673
+0.082213
+0.0807503
+0.0792744
+0.0778294
+0.0764104
+0.0750258
+0.0736804
+0.0723348
+0.070979
+0.0696164
+0.068234
+0.0668938
+0.0655989
+0.0643188
+0.0630533
+0.0617564
+0.0604949
+0.0592876
+0.0581377
+0.0570488
+0.0559485
+0.0548467
+0.0538001
+0.0528096
+0.0518928
+0.0510473
+0.0501106
+0.0491342
+0.0482332
+0.0474091
+0.0466671
+0.0459473
+0.0453096
+0.044719
+0.0441241
+0.0431705
+0.042291
+0.0414605
+0.0407303
+0.040097
+0.0395613
+0.039141
+0.0388399
+0.0386325
+0.0385048
+0.0384805
+0.0385777
+0.0387985
+0.0391409
+0.039573
+0.0400791
+0.040697
+0.0414217
+0.0422476
+0.0431691
+0.04418
+0.0452589
+0.0464141
+0.0471471
+0.0463579
+0.0456372
+0.0449958
+0.0444512
+0.0439496
+0.0434787
+0.0427423
+0.0420971
+0.0415558
+0.0411242
+0.0408058
+0.0406033
+0.0405184
+0.0405475
+0.0405492
+0.0405273
+0.0406181
+0.0408264
+0.0411505
+0.0415876
+0.0421342
+0.0427862
+0.0435387
+0.0443866
+0.0453247
+0.0463432
+0.0474363
+0.0486036
+0.0498399
+0.0511401
+0.0524996
+0.0539139
+0.0553458
+0.0563243
+0.0573699
+0.0584789
+0.0596477
+0.0608729
+0.0621513
+0.0835433
+0.082064
+0.0806171
+0.0791583
+0.077689
+0.076214
+0.074774
+0.0733614
+0.0719849
+0.0706495
+0.0692977
+0.0679519
+0.0665671
+0.0651926
+0.0638637
+0.0625737
+0.0613088
+0.0600333
+0.0587348
+0.0574905
+0.0563039
+0.0551789
+0.0541192
+0.0529867
+0.0519144
+0.05089
+0.0499379
+0.0490652
+0.0481903
+0.0472011
+0.046267
+0.0454082
+0.0446361
+0.0439175
+0.0432499
+0.042647
+0.0420949
+0.0412045
+0.040301
+0.0394345
+0.0386661
+0.0380042
+0.0374386
+0.0369942
+0.0366755
+0.0364594
+0.036324
+0.036299
+0.036402
+0.036636
+0.0369984
+0.037438
+0.0379726
+0.0386242
+0.039387
+0.0402547
+0.0412208
+0.0422701
+0.0433943
+0.0445978
+0.0451488
+0.0443239
+0.0435762
+0.0429097
+0.0423382
+0.0418223
+0.0414006
+0.0407628
+0.0400861
+0.0395172
+0.0390631
+0.0387278
+0.0385143
+0.0384248
+0.0384552
+0.0383656
+0.0383429
+0.0384389
+0.038659
+0.0390011
+0.039462
+0.0400377
+0.0407232
+0.0415131
+0.0424016
+0.0433825
+0.0444406
+0.0455793
+0.046793
+0.0480758
+0.0494225
+0.050828
+0.0522875
+0.0535875
+0.0545976
+0.0556756
+0.0568177
+0.05802
+0.0592789
+0.0605909
+0.0819878
+0.0804885
+0.0790127
+0.0775707
+0.0761063
+0.0746279
+0.0731568
+0.0717224
+0.070316
+0.0689482
+0.0676238
+0.0662662
+0.064922
+0.0635214
+0.0621567
+0.0608404
+0.059556
+0.0582912
+0.0570045
+0.0557216
+0.0544966
+0.0533334
+0.0522363
+0.0511528
+0.0500413
+0.048993
+0.0480033
+0.0470948
+0.0462403
+0.0452914
+0.0443172
+0.0434256
+0.0426209
+0.0419039
+0.0412036
+0.0405875
+0.0400114
+0.0392623
+0.038313
+0.037427
+0.0366165
+0.0359215
+0.0353242
+0.0348529
+0.0345144
+0.0342885
+0.0341446
+0.0341187
+0.0342283
+0.034477
+0.0348618
+0.0353098
+0.0358761
+0.0365651
+0.03737
+0.0382835
+0.0392976
+0.0403864
+0.0415616
+0.0428167
+0.0431586
+0.0423056
+0.0415285
+0.0408345
+0.0402335
+0.0397019
+0.0392575
+0.038806
+0.0380945
+0.0374955
+0.0370166
+0.0366625
+0.036437
+0.0363423
+0.0363204
+0.0361828
+0.0361594
+0.0362611
+0.0364944
+0.0368566
+0.0373439
+0.0379517
+0.0386742
+0.0395051
+0.0404378
+0.04146
+0.0425657
+0.0437533
+0.0450162
+0.0463482
+0.0477437
+0.0491972
+0.0507036
+0.0518622
+0.0529053
+0.054017
+0.0551934
+0.0564303
+0.0577239
+0.0590705
+0.0803906
+0.0789418
+0.0774371
+0.0759652
+0.0745286
+0.0730575
+0.07157
+0.0701031
+0.068674
+0.0672732
+0.0659152
+0.0646029
+0.0632411
+0.0618794
+0.060481
+0.0591273
+0.057825
+0.056547
+0.055278
+0.0539837
+0.0527183
+0.051515
+0.0503782
+0.0493127
+0.048195
+0.0471155
+0.0460917
+0.0451447
+0.044286
+0.0433985
+0.0423908
+0.0414639
+0.0406207
+0.039874
+0.0391731
+0.0385425
+0.0379354
+0.0373476
+0.0363484
+0.0354409
+0.0345843
+0.0338476
+0.0332197
+0.0327181
+0.0323573
+0.0321203
+0.0319666
+0.0319398
+0.0320568
+0.0323222
+0.0327238
+0.0331898
+0.0337916
+0.0345222
+0.0353736
+0.0363373
+0.0373932
+0.0385352
+0.0397651
+0.0410751
+0.0411843
+0.0403054
+0.0394961
+0.03877
+0.0381385
+0.0375896
+0.0371199
+0.0367749
+0.036126
+0.0354938
+0.0349875
+0.0346127
+0.0343737
+0.0342733
+0.0341474
+0.0340011
+0.0339767
+0.034085
+0.034333
+0.0347178
+0.0352348
+0.0358783
+0.0366417
+0.0375176
+0.0384979
+0.0395652
+0.0407224
+0.0419621
+0.0432773
+0.0446613
+0.0461078
+0.0476112
+0.0491663
+0.0501733
+0.0512507
+0.0523976
+0.0536095
+0.0548821
+0.0562114
+0.0575839
+0.0788219
+0.0773438
+0.0758919
+0.0743895
+0.0729219
+0.0714886
+0.0700127
+0.0685157
+0.0670536
+0.0656285
+0.0642357
+0.0628884
+0.0615824
+0.0602235
+0.0588391
+0.0574468
+0.0561055
+0.054817
+0.0535481
+0.0522745
+0.0509721
+0.0497265
+0.0485479
+0.0474413
+0.0463786
+0.0452559
+0.044206
+0.0432177
+0.0423199
+0.0414547
+0.0404914
+0.0395202
+0.0386409
+0.0378589
+0.0371606
+0.0365009
+0.035873
+0.0353445
+0.034411
+0.0334675
+0.0325726
+0.0317893
+0.0311271
+0.0305912
+0.0302051
+0.0299554
+0.0297905
+0.0297626
+0.0298882
+0.0301727
+0.0305814
+0.0310795
+0.0317214
+0.0324986
+0.0334016
+0.0344186
+0.0355211
+0.0367213
+0.03801
+0.0393784
+0.0392329
+0.0383259
+0.037479
+0.0367157
+0.0360549
+0.0354868
+0.0349888
+0.0346226
+0.0341846
+0.0335157
+0.0329791
+0.0325812
+0.0323272
+0.0322204
+0.0319769
+0.0318206
+0.0317952
+0.0319109
+0.0321756
+0.0325859
+0.0331361
+0.0338196
+0.0346284
+0.035554
+0.0365809
+0.0377024
+0.038915
+0.0402105
+0.0415812
+0.0430197
+0.0445197
+0.0460749
+0.0474862
+0.0485244
+0.0496376
+0.050821
+0.0520696
+0.053379
+0.0547361
+0.0561387
+0.0772654
+0.0757754
+0.0743012
+0.0728456
+0.0713463
+0.0698835
+0.0684461
+0.0669623
+0.0654655
+0.0640087
+0.0625879
+0.0612043
+0.0598689
+0.0585612
+0.0572145
+0.0558016
+0.0544197
+0.0530924
+0.0518107
+0.0505429
+0.0492614
+0.0479715
+0.0467487
+0.0455984
+0.0445262
+0.0434271
+0.0423395
+0.041317
+0.0403769
+0.039536
+0.0386228
+0.0376034
+0.036685
+0.0358632
+0.0351495
+0.0344677
+0.0338267
+0.0332728
+0.0325058
+0.0315053
+0.0305855
+0.02975
+0.029049
+0.028474
+0.0280587
+0.0277945
+0.0276168
+0.0275876
+0.027723
+0.0280295
+0.0284464
+0.0289812
+0.0296686
+0.0304981
+0.0314586
+0.0325228
+0.0336874
+0.0349506
+0.0363022
+0.0377326
+0.037308
+0.0363651
+0.0354771
+0.034678
+0.0339847
+0.0333952
+0.0328657
+0.0324755
+0.0322147
+0.0315658
+0.0309954
+0.0305717
+0.0303008
+0.0301359
+0.0298094
+0.0296416
+0.029615
+0.0297391
+0.0300231
+0.0304623
+0.0310502
+0.0317786
+0.0326381
+0.0336172
+0.0346962
+0.0358767
+0.037149
+0.038504
+0.0399332
+0.041429
+0.0429845
+0.0445933
+0.0458455
+0.04692
+0.0480703
+0.0492913
+0.0505777
+0.051917
+0.0533037
+0.054743
+0.0757254
+0.0742209
+0.0727332
+0.0712634
+0.0698038
+0.068308
+0.0668505
+0.0654089
+0.063913
+0.06242
+0.0609691
+0.0595531
+0.0581798
+0.0568578
+0.0555486
+0.0541891
+0.0527711
+0.0514012
+0.0500896
+0.0488158
+0.0475433
+0.0462536
+0.0449841
+0.0437875
+0.0426699
+0.0416333
+0.0404975
+0.0394463
+0.0384606
+0.0375768
+0.0366989
+0.0357181
+0.0347516
+0.0338886
+0.0331367
+0.0324535
+0.0317996
+0.0312151
+0.0306177
+0.0295752
+0.0286279
+0.0277337
+0.0269878
+0.0263688
+0.0259198
+0.0256387
+0.0254459
+0.0254153
+0.0255622
+0.0258943
+0.0263205
+0.0268976
+0.0276369
+0.0285256
+0.0295452
+0.0306664
+0.0318988
+0.0332301
+0.0346488
+0.0361448
+0.0354141
+0.0344193
+0.0334989
+0.0326602
+0.0319289
+0.031312
+0.0307519
+0.0303346
+0.030059
+0.0296494
+0.0290414
+0.0285888
+0.0282989
+0.0279972
+0.0276455
+0.0274645
+0.0274364
+0.0275704
+0.0278765
+0.028349
+0.0289798
+0.0297589
+0.030675
+0.0317077
+0.0328496
+0.034094
+0.0354304
+0.0368486
+0.0383396
+0.0398952
+0.0415082
+0.0431721
+0.0442523
+0.0453646
+0.0465534
+0.0478131
+0.0491314
+0.0504997
+0.0519243
+0.0534008
+0.0742146
+0.0726826
+0.071181
+0.0696959
+0.068231
+0.0667672
+0.0652753
+0.0638238
+0.0623777
+0.0608687
+0.05938
+0.0579357
+0.0565252
+0.0551636
+0.0538566
+0.0525458
+0.0511632
+0.049749
+0.0483927
+0.0470993
+0.0458347
+0.0445573
+0.0432586
+0.0420128
+0.0408466
+0.0397671
+0.0386919
+0.0375949
+0.036575
+0.0356445
+0.0347945
+0.0338693
+0.0328487
+0.0319423
+0.0311461
+0.0304637
+0.0297856
+0.0291712
+0.0286787
+0.0276839
+0.0266825
+0.025746
+0.0249407
+0.0242788
+0.0237903
+0.0234894
+0.0232787
+0.0232464
+0.0234069
+0.023766
+0.0242062
+0.0248325
+0.0256314
+0.0265872
+0.0276624
+0.0288568
+0.0301633
+0.0315678
+0.033058
+0.0346227
+0.0335492
+0.0325047
+0.0315487
+0.0306661
+0.029886
+0.0292344
+0.0286498
+0.0282013
+0.0279088
+0.0277306
+0.0271237
+0.0266385
+0.0263272
+0.0258672
+0.0254861
+0.0252897
+0.02526
+0.0254055
+0.0257373
+0.0262483
+0.0269284
+0.0277652
+0.0287425
+0.029837
+0.0310477
+0.0323615
+0.0337665
+0.0352517
+0.0368075
+0.0384252
+0.0400973
+0.0416443
+0.0427121
+0.0438635
+0.0450919
+0.0463855
+0.047732
+0.0491392
+0.0506021
+0.0521161
+0.0727385
+0.0711747
+0.0696448
+0.0681464
+0.0666642
+0.0652049
+0.0637366
+0.0622491
+0.0608042
+0.059353
+0.0578301
+0.0563462
+0.054908
+0.0535054
+0.0521569
+0.0508671
+0.0495549
+0.0481399
+0.0467369
+0.0453963
+0.0441198
+0.0428495
+0.0415768
+0.0402791
+0.0390612
+0.0379308
+0.036896
+0.035777
+0.0347253
+0.0337439
+0.0328793
+0.0319849
+0.0309839
+0.0300249
+0.0291813
+0.0284671
+0.0277775
+0.0271501
+0.026629
+0.0258212
+0.0247641
+0.0237939
+0.0229202
+0.0222081
+0.0216731
+0.0213484
+0.0211165
+0.0210821
+0.0212589
+0.0216238
+0.0221067
+0.0227908
+0.0236587
+0.0246817
+0.0258282
+0.0271036
+0.0284906
+0.0299736
+0.0315392
+0.0329263
+0.0317224
+0.0306272
+0.0296322
+0.0286961
+0.0278657
+0.0271744
+0.0265619
+0.0260776
+0.0257654
+0.0255674
+0.0252504
+0.0247285
+0.0243547
+0.0237483
+0.0233326
+0.0231179
+0.0230863
+0.0232454
+0.0236076
+0.0241637
+0.0249008
+0.0258033
+0.0268438
+0.0280126
+0.0292988
+0.0306876
+0.0321658
+0.0337216
+0.0353447
+0.0370264
+0.038759
+0.0401236
+0.0412308
+0.0424224
+0.0436868
+0.0450073
+0.0463937
+0.0478403
+0.0493418
+0.0508933
+0.0712991
+0.069703
+0.06814
+0.0666124
+0.0651177
+0.0636389
+0.0621857
+0.0607127
+0.0592304
+0.057793
+0.0563229
+0.0547982
+0.0533199
+0.0518867
+0.0504951
+0.0491616
+0.0478886
+0.0465687
+0.0451266
+0.0437367
+0.0424144
+0.0411483
+0.039873
+0.0385919
+0.037319
+0.0361341
+0.0350463
+0.034003
+0.0328943
+0.0318805
+0.0309639
+0.0300917
+0.0291528
+0.0281434
+0.0272509
+0.0264847
+0.0257991
+0.0251574
+0.0246037
+0.0239987
+0.0228929
+0.0218791
+0.0209339
+0.0201628
+0.019572
+0.0192141
+0.0189607
+0.0189238
+0.0191206
+0.0194925
+0.0200268
+0.0207795
+0.0217279
+0.0228182
+0.0240537
+0.0254183
+0.0268924
+0.0284588
+0.0301033
+0.0312171
+0.0299446
+0.0287827
+0.0277348
+0.0267546
+0.025873
+0.0251332
+0.024492
+0.0239659
+0.0236302
+0.0234094
+0.0232703
+0.0228688
+0.0223074
+0.0216437
+0.0211868
+0.0209501
+0.0209161
+0.0210916
+0.0214901
+0.0220996
+0.0229032
+0.0238775
+0.024993
+0.0262444
+0.027613
+0.0290825
+0.0306382
+0.0322677
+0.0339604
+0.0357074
+0.0375009
+0.0386673
+0.039815
+0.0410445
+0.0423341
+0.0436955
+0.0451223
+0.0466083
+0.0481482
+0.049737
+0.0698422
+0.0682699
+0.0666733
+0.0651113
+0.0635864
+0.0620959
+0.060621
+0.0591748
+0.0576967
+0.0562202
+0.0547915
+0.0532952
+0.0517741
+0.0503024
+0.0488749
+0.047496
+0.0461799
+0.0449112
+0.0435662
+0.0421257
+0.0407512
+0.0394505
+0.0381969
+0.0369166
+0.0356263
+0.0343832
+0.0332381
+0.0322015
+0.0311097
+0.0300395
+0.0290874
+0.0282327
+0.027316
+0.0263062
+0.0253629
+0.0245378
+0.0238573
+0.0231935
+0.0226059
+0.022174
+0.0210574
+0.0199819
+0.0189926
+0.0181515
+0.0174929
+0.0170915
+0.0168139
+0.0167738
+0.0169953
+0.0173759
+0.0179733
+0.0188084
+0.0198354
+0.021018
+0.0223532
+0.0238155
+0.0253827
+0.0270368
+0.0287627
+0.0295492
+0.0282248
+0.026989
+0.02588
+0.0248479
+0.0239151
+0.0231128
+0.0224451
+0.0218698
+0.0215033
+0.0212581
+0.0211007
+0.0210437
+0.02029
+0.019558
+0.0190511
+0.0187876
+0.0187507
+0.0189462
+0.0193889
+0.0200623
+0.0209442
+0.0219953
+0.0232015
+0.0245443
+0.0260026
+0.0275581
+0.0291952
+0.0309009
+0.0326645
+0.0344771
+0.0361758
+0.0372718
+0.0384614
+0.0397227
+0.0410538
+0.0424563
+0.0439233
+0.0454486
+0.0470265
+0.0486518
+0.0683244
+0.0668138
+0.0652472
+0.0636503
+0.0620895
+0.0605677
+0.0590819
+0.0576116
+0.0561734
+0.0546899
+0.0532202
+0.0518014
+0.0502762
+0.0487593
+0.0472952
+0.0458745
+0.0445105
+0.0432146
+0.0419513
+0.0405676
+0.03914
+0.0377839
+0.0365089
+0.0352385
+0.0339766
+0.0326853
+0.0314785
+0.0303819
+0.0293774
+0.0282442
+0.0272374
+0.0263625
+0.0254521
+0.0245038
+0.0235172
+0.0226355
+0.021927
+0.02124
+0.0206396
+0.0201771
+0.0192919
+0.0181509
+0.0170982
+0.0161737
+0.0154446
+0.0149886
+0.0146802
+0.0146274
+0.0148684
+0.0152803
+0.0159563
+0.0168911
+0.0180035
+0.0192987
+0.0207449
+0.0223128
+0.0239784
+0.025723
+0.0275273
+0.0279511
+0.0265574
+0.025258
+0.0240694
+0.0229839
+0.0219884
+0.0211265
+0.0204213
+0.0197942
+0.0193885
+0.0191157
+0.0189348
+0.0188714
+0.0183105
+0.017498
+0.0169295
+0.0166324
+0.016592
+0.0168126
+0.0173099
+0.018061
+0.0190298
+0.0201755
+0.0214841
+0.0229277
+0.0244825
+0.0261286
+0.0278498
+0.0296331
+0.0314679
+0.0333456
+0.0348063
+0.0359441
+0.0371763
+0.0384802
+0.0398528
+0.0412961
+0.0428029
+0.0443667
+0.0459818
+0.0476428
+0.066844
+0.0652991
+0.0637921
+0.062232
+0.0606347
+0.0590755
+0.0575575
+0.0560772
+0.0546121
+0.0531829
+0.0516939
+0.050232
+0.0487921
+0.0472674
+0.0457556
+0.0443003
+0.0428881
+0.0415415
+0.0402692
+0.0390128
+0.0375771
+0.0361731
+0.0348393
+0.0335881
+0.032291
+0.031047
+0.0297739
+0.0286121
+0.0275756
+0.0265085
+0.0254331
+0.0244984
+0.0236273
+0.0227432
+0.0217113
+0.02079
+0.0200163
+0.0193375
+0.018723
+0.0182249
+0.017542
+0.0163686
+0.0152357
+0.0142522
+0.0134414
+0.0129148
+0.0125622
+0.0124939
+0.0127621
+0.0132155
+0.0139916
+0.0150231
+0.0162607
+0.0176839
+0.0192518
+0.0209318
+0.0226974
+0.024528
+0.0264134
+0.0264358
+0.02496
+0.023593
+0.022326
+0.0211688
+0.0201038
+0.0191846
+0.0184054
+0.0177463
+0.0172779
+0.0169856
+0.0167753
+0.0167039
+0.0163746
+0.0154739
+0.0148281
+0.0144879
+0.0144428
+0.0146958
+0.0152622
+0.016109
+0.0171752
+0.0184365
+0.01986
+0.0214134
+0.0230705
+0.0248105
+0.0266171
+0.0284776
+0.0303822
+0.0323231
+0.0335243
+0.0347041
+0.0359788
+0.037325
+0.0387386
+0.0402219
+0.0417675
+0.0433687
+0.0450195
+0.0467148
+0.0654035
+0.0638237
+0.062281
+0.0607781
+0.0592253
+0.057628
+0.0560708
+0.0545571
+0.0530832
+0.0516243
+0.0502051
+0.0487107
+0.047258
+0.0457927
+0.0442709
+0.0427654
+0.0413181
+0.0399186
+0.0385928
+0.0373486
+0.0360647
+0.0346055
+0.0332268
+0.0319238
+0.0306694
+0.0293746
+0.0281361
+0.0269037
+0.0257987
+0.0247912
+0.0236939
+0.022688
+0.0218246
+0.0209308
+0.0199745
+0.0190078
+0.0181583
+0.0174935
+0.0168661
+0.0163331
+0.0158753
+0.0146776
+0.0134723
+0.012403
+0.0114984
+0.0108869
+0.0104662
+0.0103841
+0.0106719
+0.0111986
+0.0120974
+0.0132504
+0.0146386
+0.016205
+0.0179028
+0.0196935
+0.0215566
+0.0234763
+0.0254398
+0.0250054
+0.0234587
+0.0219985
+0.0206533
+0.01943
+0.0182858
+0.0172835
+0.0164344
+0.0157368
+0.0151876
+0.0148732
+0.0146251
+0.0145434
+0.0145114
+0.0135015
+0.0127566
+0.0123596
+0.0123083
+0.0126042
+0.0132602
+0.0142169
+0.0154091
+0.0168035
+0.0183541
+0.0200247
+0.0217876
+0.0236223
+0.0255132
+0.0274487
+0.02942
+0.0312245
+0.0323399
+0.0335614
+0.0348778
+0.0362655
+0.0377189
+0.0392407
+0.0408235
+0.0424602
+0.0441451
+0.0458727
+0.0639721
+0.0623904
+0.0608113
+0.0592712
+0.057773
+0.0562285
+0.0546314
+0.0530767
+0.0515682
+0.0501018
+0.0486502
+0.0472419
+0.0457427
+0.0442922
+0.0428074
+0.0412894
+0.0397917
+0.0383522
+0.0369703
+0.0356695
+0.0344589
+0.0331023
+0.0316582
+0.0303037
+0.0290438
+0.0277554
+0.0264993
+0.0252698
+0.02409
+0.0230585
+0.0220355
+0.0209504
+0.0200121
+0.0191339
+0.0182826
+0.0172835
+0.016382
+0.015692
+0.0150557
+0.0144776
+0.0141502
+0.0130694
+0.0118224
+0.0106287
+0.00961874
+0.00890216
+0.0084186
+0.00831628
+0.00861676
+0.00924452
+0.0102871
+0.0116212
+0.013182
+0.0149009
+0.016724
+0.0186265
+0.0205864
+0.0225887
+0.0246232
+0.0236852
+0.0220651
+0.0205144
+0.019074
+0.0177531
+0.0165372
+0.0154547
+0.0145264
+0.0137375
+0.0131299
+0.0127786
+0.0124889
+0.0123935
+0.0124846
+0.0115912
+0.0107274
+0.010252
+0.0101977
+0.0105529
+0.0113284
+0.0124166
+0.0137656
+0.0153104
+0.0169978
+0.0187894
+0.020658
+0.0225846
+0.0245555
+0.0265609
+0.0285934
+0.0301091
+0.0312643
+0.0325262
+0.0338829
+0.0353103
+0.0368014
+0.0383597
+0.0399773
+0.0416473
+0.0433638
+0.0451213
+0.0625092
+0.0609627
+0.0593861
+0.0578079
+0.0562709
+0.0547783
+0.0532434
+0.0516469
+0.0500953
+0.048593
+0.0471355
+0.0456926
+0.0442783
+0.0427858
+0.0413395
+0.0398393
+0.0383264
+0.0368385
+0.035409
+0.0340486
+0.0327783
+0.0315784
+0.0301672
+0.0287425
+0.0274191
+0.0261962
+0.0248859
+0.0236804
+0.0224652
+0.0213553
+0.020344
+0.0193026
+0.0182804
+0.0174243
+0.016546
+0.0156668
+0.0147177
+0.0139292
+0.0133281
+0.0127266
+0.0123689
+0.0115726
+0.0102892
+0.00900693
+0.00787742
+0.00700713
+0.00646544
+0.00633138
+0.00660575
+0.00738491
+0.00865446
+0.0102037
+0.0119405
+0.013807
+0.0157572
+0.0177636
+0.019809
+0.0218806
+0.0239705
+0.0224985
+0.0207814
+0.0191532
+0.0176227
+0.0161907
+0.0149042
+0.0136977
+0.0126847
+0.0117994
+0.0111232
+0.0107115
+0.0103754
+0.0102482
+0.0103305
+0.00979827
+0.00875935
+0.00817029
+0.00812159
+0.00856334
+0.00949208
+0.010762
+0.0122939
+0.0140021
+0.0158296
+0.0177395
+0.0197079
+0.0217189
+0.023761
+0.0258153
+0.0278904
+0.0291161
+0.0303092
+0.0316092
+0.0330037
+0.0344681
+0.035994
+0.0375858
+0.0392353
+0.0409357
+0.0426799
+0.0444633
+0.0610897
+0.0595064
+0.0579627
+0.0563919
+0.0548151
+0.0532818
+0.0517957
+0.0502675
+0.0486765
+0.047129
+0.0456342
+0.0441873
+0.042755
+0.0413305
+0.039848
+0.0383829
+0.0368927
+0.0353865
+0.0339112
+0.0324946
+0.031161
+0.0299284
+0.0287184
+0.0272682
+0.0258694
+0.0245865
+0.0233667
+0.0220784
+0.0209405
+0.0197485
+0.018734
+0.0176903
+0.0166264
+0.0157363
+0.0148561
+0.0140098
+0.0131574
+0.0123029
+0.0116511
+0.0111264
+0.0107223
+0.0102459
+0.00893069
+0.00756635
+0.00632769
+0.0053117
+0.0046211
+0.00440994
+0.00473589
+0.0057629
+0.00726547
+0.00903597
+0.0109594
+0.0129679
+0.0150229
+0.0171091
+0.0192185
+0.0213442
+0.0232532
+0.0214209
+0.0196572
+0.0179271
+0.0163003
+0.0147826
+0.0133649
+0.0120783
+0.0109207
+0.00995239
+0.00920087
+0.00867806
+0.00829395
+0.00810215
+0.00817018
+0.00819522
+0.00692632
+0.00616452
+0.00609984
+0.00667672
+0.00783246
+0.00933107
+0.0110629
+0.0129347
+0.0148937
+0.0169097
+0.0189493
+0.0210173
+0.0231079
+0.0252155
+0.026662
+0.0281318
+0.0294861
+0.030821
+0.0322495
+0.0337472
+0.0353043
+0.0369254
+0.0386018
+0.0403275
+0.0420966
+0.0439037
+0.0597169
+0.0580962
+0.056514
+0.054972
+0.0534096
+0.0518347
+0.0503059
+0.0488275
+0.047301
+0.0457231
+0.0441807
+0.0426951
+0.0412611
+0.0398416
+0.0384064
+0.0369365
+0.0354505
+0.0339729
+0.0324761
+0.0310161
+0.0296175
+0.0283179
+0.0271331
+0.0258953
+0.0244181
+0.0230546
+0.0218159
+0.0205851
+0.0193596
+0.0182606
+0.0171614
+0.016124
+0.0151082
+0.0141227
+0.0133028
+0.012502
+0.0116617
+0.0108388
+0.0101035
+0.00967521
+0.00925318
+0.00914531
+0.00777199
+0.00639261
+0.005061
+0.00396043
+0.0030947
+0.00279452
+0.00327124
+0.00454306
+0.00631687
+0.00828248
+0.0103362
+0.0124367
+0.0145638
+0.0167073
+0.0188617
+0.0210236
+0.022412
+0.0205046
+0.0186596
+0.0168923
+0.015168
+0.0135316
+0.0120244
+0.0106036
+0.00931199
+0.00820369
+0.00736871
+0.00671046
+0.00623111
+0.00598205
+0.00599857
+0.00623534
+0.00533255
+0.0043314
+0.0042488
+0.00504211
+0.00649564
+0.00824105
+0.0101604
+0.0121535
+0.0141972
+0.0162792
+0.0183865
+0.0205113
+0.0225163
+0.0238486
+0.0252679
+0.0267662
+0.0283128
+0.0297625
+0.031265
+0.032793
+0.0343918
+0.0360529
+0.0377681
+0.0395204
+0.0413114
+0.0431031
+0.0583941
+0.0567356
+0.0551143
+0.0535323
+0.0519938
+0.0504412
+0.0488688
+0.0473457
+0.0458765
+0.0443489
+0.0427901
+0.0412545
+0.0397802
+0.0383619
+0.0369584
+0.0355118
+0.0340579
+0.0325489
+0.0310877
+0.0296038
+0.0281601
+0.0267898
+0.0255342
+0.0243563
+0.0230836
+0.021636
+0.0203111
+0.0191218
+0.0178923
+0.0167565
+0.0156876
+0.0146878
+0.0136855
+0.0126306
+0.0118458
+0.0110219
+0.0102238
+0.0095491
+0.00875385
+0.00832696
+0.0080572
+0.00793453
+0.00694731
+0.00560854
+0.00434058
+0.00325041
+0.00229301
+0.00199359
+0.00267335
+0.00411145
+0.00599785
+0.00803818
+0.0101414
+0.0122753
+0.0144262
+0.0165876
+0.0187557
+0.0209286
+0.0216084
+0.0197796
+0.0178705
+0.0160219
+0.0142236
+0.0125248
+0.0108862
+0.00938236
+0.00793012
+0.00666652
+0.00563956
+0.00488331
+0.00427523
+0.00388845
+0.00384862
+0.00404911
+0.00373997
+0.00282874
+0.00279163
+0.00392155
+0.00562904
+0.00757457
+0.00959357
+0.0116745
+0.0137894
+0.0159248
+0.0180735
+0.0198077
+0.0210873
+0.0224658
+0.0239382
+0.0254261
+0.0268541
+0.0283081
+0.0298264
+0.0314235
+0.0330886
+0.0348091
+0.0365688
+0.0383429
+0.040138
+0.0419679
+0.0570593
+0.0554282
+0.0537675
+0.0521449
+0.0505642
+0.0490304
+0.0474894
+0.0459205
+0.0444043
+0.0429463
+0.0414179
+0.0398821
+0.0383552
+0.0368952
+0.0354962
+0.0340956
+0.0326546
+0.0312137
+0.0296869
+0.0282476
+0.0267774
+0.0253386
+0.0240101
+0.022812
+0.0216511
+0.0203279
+0.0189228
+0.0176592
+0.0165271
+0.0153367
+0.0143324
+0.0133398
+0.0123094
+0.0113343
+0.0104752
+0.00977417
+0.00901547
+0.00841099
+0.0077066
+0.00725723
+0.00707519
+0.0070717
+0.00651279
+0.00539981
+0.00435546
+0.00349637
+0.00282942
+0.00260926
+0.00318788
+0.00454959
+0.00632205
+0.00829096
+0.0103478
+0.0124504
+0.014579
+0.0167236
+0.0188788
+0.0210413
+0.0208817
+0.0190835
+0.017292
+0.0153796
+0.013545
+0.0117672
+0.0100916
+0.00844837
+0.00690501
+0.00544556
+0.00426178
+0.00333052
+0.0025301
+0.00193066
+0.00172204
+0.00186123
+0.00181359
+0.00158104
+0.00217636
+0.00362478
+0.00546542
+0.00745378
+0.00949849
+0.0115964
+0.0137234
+0.0158677
+0.0172309
+0.0184333
+0.0197487
+0.021182
+0.0225724
+0.0239782
+0.0253848
+0.0268896
+0.0284828
+0.0301511
+0.0318729
+0.0336153
+0.035379
+0.0371882
+0.0390365
+0.0408821
+0.0557324
+0.0540888
+0.0524714
+0.050814
+0.0491906
+0.0476126
+0.0460847
+0.0445575
+0.0429932
+0.0414857
+0.0400373
+0.0385131
+0.037005
+0.0354895
+0.0340367
+0.0326609
+0.0312764
+0.0298455
+0.0283863
+0.0268774
+0.0254481
+0.023991
+0.0225874
+0.0213121
+0.0201917
+0.019033
+0.0176812
+0.0163423
+0.0151774
+0.0140657
+0.0130188
+0.012191
+0.0111314
+0.0102616
+0.00936914
+0.00878557
+0.00816256
+0.00757024
+0.00702595
+0.00660311
+0.00647706
+0.00642421
+0.00656864
+0.00577124
+0.005073
+0.00456202
+0.00416614
+0.00411945
+0.00459388
+0.00568188
+0.00723435
+0.00904387
+0.0109659
+0.0129734
+0.0150299
+0.0171181
+0.0192291
+0.0213562
+0.0202943
+0.0184501
+0.0166775
+0.0150157
+0.013141
+0.0113613
+0.00966098
+0.00794558
+0.00632219
+0.00475152
+0.00347306
+0.00239142
+0.00134562
+0.000348139
+-0.000299066
+-0.000315965
+7.70989e-05
+0.00107594
+0.00244888
+0.0041421
+0.00599307
+0.00790507
+0.00988
+0.0119264
+0.0139009
+0.0148234
+0.0158986
+0.0171209
+0.0184787
+0.0197923
+0.021126
+0.0225083
+0.0239933
+0.0255793
+0.0272485
+0.0289445
+0.030664
+0.0324403
+0.0342646
+0.0361062
+0.0379497
+0.0397533
+0.0543561
+0.0527621
+0.0511334
+0.0495164
+0.0478779
+0.0462551
+0.0446809
+0.0431604
+0.0416436
+0.0400853
+0.0385885
+0.0371537
+0.0356408
+0.0341666
+0.032655
+0.0312183
+0.0298734
+0.0285151
+0.0270995
+0.0256215
+0.0241235
+0.0227218
+0.0212911
+0.0199381
+0.0187381
+0.0176673
+0.0165192
+0.015206
+0.0139738
+0.0129197
+0.0118708
+0.0110057
+0.010186
+0.00931873
+0.0085622
+0.00801466
+0.00757802
+0.00716283
+0.00676118
+0.00640597
+0.0062854
+0.0062951
+0.00645578
+0.00657738
+0.00624177
+0.00601458
+0.00585124
+0.00594674
+0.00637098
+0.0072705
+0.00856901
+0.0101527
+0.0119301
+0.0138156
+0.0157647
+0.0177702
+0.019815
+0.0208414
+0.0197653
+0.0180409
+0.0162359
+0.0145104
+0.0128912
+0.0112187
+0.00949961
+0.0078038
+0.00618909
+0.00474683
+0.00355945
+0.00252481
+0.00160501
+0.000732065
+-4.86775e-05
+-0.000121771
+0.00079218
+0.00195223
+0.00332705
+0.00498276
+0.00679639
+0.0086933
+0.0105984
+0.0119446
+0.0126686
+0.0135847
+0.0146494
+0.0158813
+0.0171119
+0.0183335
+0.0196894
+0.0211543
+0.0227273
+0.0243634
+0.0260168
+0.0277447
+0.0295341
+0.0313681
+0.0331857
+0.0349851
+0.0367975
+0.038649
+0.0529649
+0.0513932
+0.0498073
+0.048196
+0.0465801
+0.0449576
+0.0433423
+0.0417732
+0.0402621
+0.0387556
+0.0372054
+0.0357223
+0.0343075
+0.0328043
+0.0313546
+0.0298669
+0.0284582
+0.0271534
+0.0258304
+0.0244218
+0.0229212
+0.021451
+0.0201034
+0.0187148
+0.0174373
+0.0163471
+0.0152793
+0.0141707
+0.0129794
+0.011838
+0.0109392
+0.0100858
+0.00955935
+0.00868444
+0.00814296
+0.00765161
+0.00741771
+0.00731773
+0.00695151
+0.00673845
+0.00673684
+0.00669982
+0.00685753
+0.00711832
+0.00759238
+0.00764869
+0.00772546
+0.00790371
+0.00833226
+0.0090915
+0.0101889
+0.0115658
+0.0131536
+0.0148951
+0.0167424
+0.0186531
+0.0206105
+0.0204326
+0.0189277
+0.0172833
+0.0157528
+0.0142516
+0.0125653
+0.0110385
+0.00964029
+0.00803054
+0.00660552
+0.00533607
+0.00444891
+0.00365432
+0.00301876
+0.00243862
+0.00199865
+0.00200395
+0.00258376
+0.00358663
+0.00475227
+0.0061922
+0.00785582
+0.0096395
+0.0105233
+0.0109327
+0.0115969
+0.0124158
+0.0133855
+0.0145364
+0.0156564
+0.0169434
+0.0183724
+0.0199155
+0.0214816
+0.0231335
+0.0248688
+0.0266712
+0.0284673
+0.0302448
+0.0320333
+0.033867
+0.0357361
+0.0376395
+0.0516284
+0.0500149
+0.0484467
+0.0468711
+0.04528
+0.043666
+0.0420575
+0.0404494
+0.0388949
+0.0373959
+0.0358971
+0.0343635
+0.0328982
+0.0315089
+0.0300146
+0.0285914
+0.0271463
+0.0257751
+0.0245232
+0.0232242
+0.0218514
+0.0203269
+0.0189089
+0.0176412
+0.0163211
+0.0151589
+0.0141825
+0.0131295
+0.0121488
+0.011085
+0.0101196
+0.00950874
+0.00893634
+0.00845517
+0.00798895
+0.00766824
+0.0076807
+0.00777338
+0.00770161
+0.00754444
+0.00753965
+0.00757183
+0.00771712
+0.00790814
+0.00826032
+0.00896342
+0.0096531
+0.00989635
+0.0103389
+0.0110073
+0.01196
+0.0131895
+0.014605
+0.0161911
+0.0179052
+0.019714
+0.0213223
+0.0200689
+0.0182827
+0.0165734
+0.0149899
+0.0135415
+0.011873
+0.0101723
+0.00856269
+0.00724013
+0.0062934
+0.00603263
+0.00577608
+0.00527404
+0.00484278
+0.00445974
+0.00415934
+0.00418519
+0.0045922
+0.00546834
+0.00648555
+0.00771868
+0.00919328
+0.00961565
+0.00977968
+0.00995215
+0.0104809
+0.0111809
+0.0121485
+0.0131622
+0.0143417
+0.0156972
+0.0171348
+0.0186692
+0.0203136
+0.0220531
+0.0238217
+0.0255615
+0.0273053
+0.0291096
+0.0309637
+0.0328572
+0.0347317
+0.036612
+0.0503518
+0.048696
+0.0470839
+0.0455202
+0.043957
+0.0423813
+0.0407792
+0.0391876
+0.0375844
+0.0360431
+0.0345677
+0.0330787
+0.0315698
+0.0301279
+0.0287717
+0.0272916
+0.025904
+0.0245153
+0.0231956
+0.0219894
+0.0207205
+0.0193718
+0.0178936
+0.0165571
+0.0153931
+0.0141922
+0.0131876
+0.0122274
+0.0113727
+0.0105394
+0.00973363
+0.00906207
+0.00864758
+0.00836843
+0.00826948
+0.00814608
+0.00824932
+0.00850363
+0.00864883
+0.00870244
+0.00870383
+0.00866765
+0.00881173
+0.00904481
+0.00927501
+0.00979879
+0.0106603
+0.0117901
+0.0123721
+0.0130074
+0.0138231
+0.0149175
+0.0162232
+0.0176646
+0.019248
+0.0209411
+0.0212726
+0.0195912
+0.0178421
+0.0161068
+0.0144724
+0.0129742
+0.0111368
+0.00931057
+0.00754662
+0.00600393
+0.00489434
+0.00454499
+0.00501998
+0.00627093
+0.00683131
+0.00657158
+0.00633501
+0.00637026
+0.00670708
+0.00738902
+0.00835113
+0.00943842
+0.00953502
+0.00926875
+0.00901339
+0.00914511
+0.00942624
+0.0101225
+0.0109019
+0.0119379
+0.0131611
+0.0144825
+0.015963
+0.0175875
+0.0192661
+0.0209767
+0.0226498
+0.024405
+0.0262258
+0.0280995
+0.0299643
+0.0318228
+0.0336863
+0.0355561
+0.0491206
+0.0474417
+0.0457855
+0.0441758
+0.042618
+0.04107
+0.0395006
+0.0379257
+0.0363552
+0.0347595
+0.0332316
+0.0317777
+0.0303149
+0.0288319
+0.027428
+0.0261111
+0.0246572
+0.0233187
+0.0220063
+0.0207569
+0.0195953
+0.0182943
+0.0170297
+0.0156942
+0.0144631
+0.0134523
+0.0124006
+0.0115157
+0.010707
+0.0101518
+0.00949943
+0.00906638
+0.0087846
+0.00861629
+0.00869669
+0.0089526
+0.00914104
+0.00963381
+0.00985695
+0.0101018
+0.0101428
+0.0100267
+0.0101457
+0.0103337
+0.0104143
+0.0108101
+0.0115354
+0.012511
+0.0137178
+0.0150309
+0.0157705
+0.0167381
+0.0179226
+0.019275
+0.0207357
+0.0223162
+0.0206247
+0.0188924
+0.0172326
+0.0156667
+0.0142166
+0.0126892
+0.0108023
+0.00890745
+0.00704326
+0.00535754
+0.00407598
+0.0036487
+0.00422566
+0.00565514
+0.00742009
+0.0087224
+0.00851573
+0.00855771
+0.00884563
+0.00941535
+0.010295
+0.0103186
+0.00958791
+0.00896767
+0.00855278
+0.00832287
+0.00857959
+0.00900072
+0.00986792
+0.0108064
+0.0119874
+0.0134239
+0.0149238
+0.0165319
+0.018123
+0.0197948
+0.0215599
+0.023397
+0.0252234
+0.0270618
+0.0289337
+0.0307905
+0.0326791
+0.0345731
+0.0478928
+0.0462288
+0.0445569
+0.0429012
+0.0412953
+0.0397453
+0.0382152
+0.0366554
+0.0351136
+0.0335698
+0.0319851
+0.0304756
+0.0290503
+0.0276222
+0.02617
+0.0248211
+0.0234984
+0.0221406
+0.0208626
+0.0196091
+0.0184398
+0.017345
+0.0160909
+0.0149512
+0.0137947
+0.0126869
+0.0118589
+0.0110646
+0.0103117
+0.00989736
+0.00952446
+0.0092699
+0.00922771
+0.00926145
+0.0094411
+0.00986091
+0.0103405
+0.0108376
+0.0113297
+0.0116633
+0.0116829
+0.0115472
+0.0116797
+0.0117405
+0.0116887
+0.0119694
+0.0126183
+0.0134644
+0.0144894
+0.015666
+0.0170411
+0.0185274
+0.0197091
+0.0209547
+0.0223364
+0.0220142
+0.0201792
+0.0184204
+0.0166996
+0.015076
+0.0135736
+0.0120852
+0.0104051
+0.0086785
+0.00710522
+0.00544152
+0.00417175
+0.00375253
+0.00431474
+0.005722
+0.00747067
+0.00939187
+0.00969417
+0.0101034
+0.0103533
+0.0107604
+0.0115128
+0.0107791
+0.00984607
+0.00900304
+0.00824149
+0.00783054
+0.00776523
+0.0082283
+0.00883231
+0.00975643
+0.0109824
+0.012343
+0.0138033
+0.0153567
+0.0170251
+0.0187788
+0.0205482
+0.0223588
+0.0241979
+0.0260743
+0.0279381
+0.0298015
+0.0316687
+0.0335697
+0.0466792
+0.0450161
+0.0433655
+0.0417027
+0.0400488
+0.0384486
+0.0369091
+0.0353981
+0.0338545
+0.0323449
+0.0308145
+0.0292758
+0.0277918
+0.0263883
+0.0250161
+0.023605
+0.02232
+0.0210012
+0.0197075
+0.0185453
+0.017371
+0.016308
+0.0153184
+0.0142118
+0.0132625
+0.0122356
+0.0113944
+0.0108548
+0.0102526
+0.00988821
+0.00991375
+0.00975527
+0.00994547
+0.010153
+0.0104929
+0.0109648
+0.0116377
+0.0122544
+0.0129637
+0.0131698
+0.0131691
+0.0130861
+0.0132231
+0.0130207
+0.012904
+0.0130925
+0.0135537
+0.0142072
+0.0150954
+0.0162325
+0.0175244
+0.018934
+0.0204751
+0.0220886
+0.0235449
+0.0218153
+0.0199656
+0.0181608
+0.0164234
+0.014778
+0.0132542
+0.01166
+0.00989136
+0.0080544
+0.00635941
+0.00503991
+0.00427488
+0.00450187
+0.00529358
+0.00649506
+0.00811158
+0.00872537
+0.00873212
+0.00917742
+0.00926743
+0.00970952
+0.0105347
+0.0114233
+0.0102343
+0.00909971
+0.00810803
+0.00747045
+0.00735718
+0.00740012
+0.00796552
+0.00882992
+0.0099603
+0.0112179
+0.0127098
+0.014347
+0.016007
+0.0177584
+0.0195425
+0.0213993
+0.0232625
+0.0250658
+0.0269089
+0.0288007
+0.0307258
+0.0326817
+0.0454663
+0.0438195
+0.0421708
+0.0405367
+0.0388822
+0.0372357
+0.0356439
+0.0341185
+0.0326306
+0.0311101
+0.0296255
+0.0281249
+0.0266513
+0.0252033
+0.0238284
+0.0224999
+0.0211479
+0.0199454
+0.0186561
+0.0174535
+0.0164233
+0.015391
+0.0144792
+0.0135564
+0.0127047
+0.0120198
+0.0112543
+0.0107303
+0.010414
+0.0102163
+0.0103043
+0.0106255
+0.010714
+0.0111711
+0.0116721
+0.0122885
+0.0129749
+0.0138101
+0.0144928
+0.0144906
+0.0145466
+0.0147555
+0.0145745
+0.0141708
+0.0140625
+0.0140359
+0.0143428
+0.014952
+0.0158008
+0.0168915
+0.0181331
+0.0194922
+0.0209891
+0.022568
+0.0235085
+0.021796
+0.019962
+0.0181379
+0.0163981
+0.01475
+0.013243
+0.0115601
+0.00976248
+0.00791462
+0.00621528
+0.00485354
+0.00404282
+0.00427964
+0.00533013
+0.00693566
+0.00865475
+0.00820887
+0.00822097
+0.00854158
+0.00847938
+0.00886781
+0.00974547
+0.0109616
+0.0105498
+0.00922199
+0.00820565
+0.00743802
+0.00693767
+0.00695872
+0.00731929
+0.0079109
+0.00895603
+0.0102506
+0.0117257
+0.0133074
+0.0150199
+0.0168255
+0.0186341
+0.0204059
+0.0222036
+0.0240665
+0.0259806
+0.0279348
+0.0298735
+0.0317951
+0.0442809
+0.0426316
+0.0409944
+0.0393558
+0.0377329
+0.0360906
+0.0344716
+0.0328919
+0.0313857
+0.029928
+0.0284385
+0.0269871
+0.025528
+0.0241394
+0.0227425
+0.0214084
+0.0201464
+0.0188803
+0.0177784
+0.0165391
+0.015494
+0.0146379
+0.0137652
+0.0129723
+0.012276
+0.0117079
+0.0113046
+0.0109495
+0.0108144
+0.0107217
+0.0108995
+0.01139
+0.0118174
+0.0122404
+0.0129248
+0.0136673
+0.0144489
+0.0152933
+0.0158887
+0.0159968
+0.0160533
+0.0162626
+0.0157211
+0.0152527
+0.0150318
+0.015074
+0.0153603
+0.0159034
+0.0166884
+0.0176717
+0.0188154
+0.0201211
+0.0215687
+0.0231034
+0.0234449
+0.0219959
+0.0201804
+0.0183781
+0.0166634
+0.0150443
+0.0135542
+0.0118432
+0.0101103
+0.00833985
+0.00673378
+0.00546119
+0.00480386
+0.00500157
+0.00593812
+0.00741312
+0.00773095
+0.00722874
+0.00722026
+0.00726532
+0.00714964
+0.00760627
+0.00861346
+0.00996097
+0.0109564
+0.00963184
+0.00845019
+0.00751267
+0.00688184
+0.006411
+0.00649733
+0.00712166
+0.00803662
+0.00927702
+0.0107763
+0.0124375
+0.0141382
+0.0158506
+0.0175903
+0.0194139
+0.0212948
+0.0232272
+0.0250911
+0.0270004
+0.0289377
+0.0308685
+0.0431563
+0.0414692
+0.0398311
+0.0382116
+0.0365824
+0.034968
+0.0333505
+0.0317691
+0.030207
+0.0287179
+0.0273095
+0.0258606
+0.0244568
+0.0230509
+0.0217122
+0.0204392
+0.0191654
+0.0180047
+0.0168788
+0.0158093
+0.0147621
+0.0138862
+0.0132217
+0.0125517
+0.0119164
+0.0115635
+0.0113818
+0.0112462
+0.0112849
+0.0114886
+0.0117896
+0.0123356
+0.012962
+0.0135491
+0.0142578
+0.0150927
+0.0159912
+0.0168292
+0.0171535
+0.0174903
+0.0176319
+0.017465
+0.0167675
+0.0162722
+0.0160629
+0.0160528
+0.0163224
+0.0168366
+0.0175506
+0.0184542
+0.0195485
+0.0208154
+0.0221633
+0.0236201
+0.0234407
+0.021978
+0.0201704
+0.0184461
+0.016767
+0.0150088
+0.0133664
+0.0116845
+0.0101651
+0.00889871
+0.00776089
+0.00666944
+0.00614308
+0.00629864
+0.00709458
+0.00837223
+0.00734866
+0.006793
+0.00667156
+0.00643794
+0.00630709
+0.00682037
+0.00792804
+0.00937459
+0.011048
+0.0100971
+0.0087051
+0.00753478
+0.00659463
+0.0060885
+0.00590832
+0.00628602
+0.00719603
+0.0085365
+0.0100269
+0.0115433
+0.0131438
+0.0148724
+0.0166859
+0.0185159
+0.0203478
+0.0222445
+0.0241829
+0.0261274
+0.0280752
+0.0300249
+0.0421057
+0.0403852
+0.0387012
+0.0370702
+0.0354811
+0.0338653
+0.0322638
+0.0306785
+0.0291242
+0.0275993
+0.0261334
+0.0247746
+0.0233836
+0.0220718
+0.0207268
+0.0194524
+0.0183452
+0.0171467
+0.0161255
+0.0151322
+0.0141891
+0.0133423
+0.012778
+0.0122914
+0.0118516
+0.0115686
+0.0115921
+0.0116515
+0.0118645
+0.0122778
+0.0128141
+0.0134175
+0.0141964
+0.0149595
+0.0157019
+0.0165886
+0.0175313
+0.0182884
+0.01846
+0.0188827
+0.0188749
+0.0185773
+0.0179087
+0.0174458
+0.0172508
+0.0172324
+0.017455
+0.0178684
+0.0185315
+0.0193892
+0.0204067
+0.0215391
+0.0228261
+0.0242431
+0.0232111
+0.0219037
+0.0203109
+0.0185997
+0.0168454
+0.0150844
+0.0133709
+0.0116837
+0.0101375
+0.00886454
+0.00795503
+0.00758801
+0.00775273
+0.0079955
+0.00863644
+0.00800759
+0.00703453
+0.00660564
+0.00676068
+0.00618077
+0.00604947
+0.00658287
+0.00772467
+0.00923165
+0.0109193
+0.0104852
+0.0090039
+0.00773455
+0.00657654
+0.00581961
+0.00557504
+0.00591444
+0.0067239
+0.00780422
+0.00908168
+0.0105928
+0.0122353
+0.0139303
+0.0156874
+0.0175411
+0.0194564
+0.0213681
+0.0232922
+0.0252296
+0.0272055
+0.029212
+0.0410592
+0.0393719
+0.0376596
+0.0359871
+0.034367
+0.0328114
+0.0312193
+0.0296367
+0.0280942
+0.02657
+0.0250908
+0.0236724
+0.0223788
+0.0210574
+0.0198432
+0.0186057
+0.0174378
+0.0164382
+0.0154156
+0.0145545
+0.0137484
+0.0130386
+0.0124783
+0.0122064
+0.0120223
+0.0118794
+0.0119749
+0.0123654
+0.0126337
+0.0131951
+0.0138477
+0.0146054
+0.0154156
+0.0163091
+0.0171807
+0.0181094
+0.0190978
+0.0195773
+0.0198812
+0.020279
+0.0200926
+0.0197734
+0.0191086
+0.0186428
+0.0183599
+0.0183254
+0.0185
+0.0188905
+0.0194037
+0.0201382
+0.0210643
+0.0221604
+0.0233907
+0.0241454
+0.0229206
+0.0216652
+0.0204938
+0.018997
+0.0171856
+0.0154288
+0.0136901
+0.0120166
+0.0105179
+0.00929724
+0.00843452
+0.00808928
+0.00824399
+0.00892175
+0.00844359
+0.00768017
+0.00665943
+0.00618762
+0.00621976
+0.00609544
+0.00634051
+0.00702308
+0.00810308
+0.00955137
+0.0111909
+0.0110737
+0.00952424
+0.00813393
+0.00683292
+0.00586825
+0.00544682
+0.00545218
+0.00594869
+0.00690974
+0.00820645
+0.00956451
+0.0111895
+0.0129747
+0.0148211
+0.0166886
+0.0185675
+0.0204833
+0.0224493
+0.024449
+0.0264268
+0.0283962
+0.040073
+0.0383457
+0.036668
+0.0349899
+0.0333365
+0.0317307
+0.0301985
+0.028664
+0.0271093
+0.025624
+0.0241427
+0.0227283
+0.0213777
+0.020175
+0.0189534
+0.0178653
+0.016719
+0.0157109
+0.0149189
+0.01404
+0.0134465
+0.0129029
+0.0124182
+0.0121121
+0.0121056
+0.0123426
+0.0125936
+0.0130612
+0.0135937
+0.0141725
+0.0149577
+0.0158066
+0.0167188
+0.0177006
+0.0186696
+0.0196275
+0.0205599
+0.0208518
+0.0213094
+0.0215803
+0.0214367
+0.0209031
+0.0202265
+0.0197272
+0.0194564
+0.0193577
+0.0194725
+0.0197794
+0.0202649
+0.0209499
+0.0218243
+0.0228451
+0.0240228
+0.0240068
+0.0228152
+0.0215968
+0.0204214
+0.0190931
+0.0177592
+0.0160215
+0.0143135
+0.0127223
+0.0113174
+0.010177
+0.00939509
+0.00908642
+0.00922024
+0.00870515
+0.00825712
+0.00703289
+0.00630614
+0.00629853
+0.00605039
+0.00565049
+0.00592879
+0.00675275
+0.00803084
+0.00963413
+0.011434
+0.011655
+0.00999103
+0.00845134
+0.00709522
+0.0060752
+0.00521062
+0.00490427
+0.00539677
+0.0059949
+0.00717065
+0.00867803
+0.0103931
+0.0121725
+0.0139632
+0.0158299
+0.0177679
+0.0197449
+0.021663
+0.0236232
+0.0256208
+0.027577
+0.0391637
+0.0374162
+0.0356948
+0.0340274
+0.0323966
+0.0307641
+0.0291848
+0.0276851
+0.0262183
+0.0247122
+0.0233044
+0.0218855
+0.0205621
+0.0193087
+0.0182333
+0.0171481
+0.0161283
+0.0151741
+0.0143657
+0.0137389
+0.0131793
+0.0128288
+0.0125812
+0.0123831
+0.0124542
+0.0127418
+0.0132885
+0.0138575
+0.0145937
+0.0153317
+0.0161239
+0.017085
+0.0180486
+0.01906
+0.020179
+0.0212162
+0.0218543
+0.022198
+0.0227037
+0.0227016
+0.0226063
+0.0219101
+0.0212161
+0.0206927
+0.0203925
+0.0203108
+0.0204336
+0.0207542
+0.0211983
+0.0217966
+0.0224841
+0.0231954
+0.0239352
+0.0240676
+0.0229155
+0.0217499
+0.0205818
+0.0192581
+0.0181032
+0.0168454
+0.0152293
+0.0137445
+0.0124387
+0.0113938
+0.0107012
+0.0102273
+0.00920304
+0.00838929
+0.00774942
+0.00656538
+0.00578014
+0.00560819
+0.00567802
+0.00566516
+0.00617033
+0.00696578
+0.00821077
+0.00978463
+0.0115611
+0.0121697
+0.010543
+0.00898738
+0.00746548
+0.0060571
+0.00508421
+0.00469593
+0.00469802
+0.00536569
+0.0065633
+0.00798179
+0.00958598
+0.0113519
+0.0132161
+0.0150896
+0.016976
+0.0189146
+0.020903
+0.0228532
+0.0248333
+0.0268462
+0.0383189
+0.0365414
+0.0348108
+0.0331217
+0.0314705
+0.0298589
+0.028291
+0.0267548
+0.0253008
+0.0239112
+0.022487
+0.0211533
+0.0198335
+0.0186328
+0.0175455
+0.0166267
+0.0156448
+0.0147305
+0.0140818
+0.013489
+0.0131758
+0.0129796
+0.012824
+0.012929
+0.0130428
+0.0134329
+0.013967
+0.0147598
+0.0155634
+0.0165131
+0.0174207
+0.0183565
+0.0194684
+0.0205133
+0.0215915
+0.0227756
+0.0232433
+0.0235959
+0.0241147
+0.0239418
+0.0237363
+0.022894
+0.0222306
+0.0217317
+0.0213811
+0.0212014
+0.0210922
+0.0211741
+0.0214804
+0.0219363
+0.0224125
+0.0227424
+0.02303
+0.0231861
+0.023187
+0.0220783
+0.0209256
+0.0196248
+0.0184929
+0.0175339
+0.0163816
+0.0150022
+0.0138046
+0.0123635
+0.0109931
+0.00992154
+0.00876555
+0.00801143
+0.00711732
+0.00607723
+0.00561381
+0.00536257
+0.0051146
+0.00520571
+0.00588664
+0.00711831
+0.00873421
+0.0104048
+0.0120905
+0.0129009
+0.0111247
+0.00940261
+0.00775173
+0.00633528
+0.00527187
+0.00463245
+0.004445
+0.00488816
+0.00588736
+0.0072969
+0.00895724
+0.0106039
+0.0124199
+0.0143023
+0.0162185
+0.0181917
+0.0201638
+0.0221131
+0.0240946
+0.0261004
+0.0374895
+0.0357381
+0.0339991
+0.032281
+0.0306218
+0.0290192
+0.0274218
+0.0258917
+0.0244408
+0.0230491
+0.0217422
+0.0203971
+0.0192006
+0.0180202
+0.0169735
+0.0161115
+0.015256
+0.0145044
+0.013845
+0.013483
+0.0132467
+0.0131615
+0.0132906
+0.0134859
+0.0138165
+0.0142897
+0.0149134
+0.01568
+0.0166391
+0.017597
+0.0186706
+0.0197559
+0.0208013
+0.0219641
+0.0231032
+0.0242549
+0.0246859
+0.0250736
+0.0250599
+0.0250153
+0.0246512
+0.023724
+0.0229287
+0.0223208
+0.0218889
+0.0216312
+0.0215241
+0.0216032
+0.0217332
+0.0217538
+0.021811
+0.0215776
+0.0215541
+0.0216919
+0.0219608
+0.0224304
+0.0214881
+0.0202236
+0.0191271
+0.0182048
+0.0167728
+0.0150125
+0.0133382
+0.0118326
+0.0105694
+0.0093949
+0.00843348
+0.00777706
+0.00660054
+0.00546474
+0.00489207
+0.00443701
+0.00391965
+0.00441574
+0.0056179
+0.00729052
+0.0089354
+0.0107197
+0.0126118
+0.0134837
+0.0115968
+0.0098305
+0.00823323
+0.00677113
+0.00549794
+0.00456836
+0.00436707
+0.00470001
+0.00551118
+0.00669702
+0.00821361
+0.00988239
+0.011698
+0.0136045
+0.0155088
+0.0174283
+0.0193867
+0.0213901
+0.0234271
+0.0254855
+0.036665
+0.0349615
+0.0332286
+0.0315463
+0.029857
+0.0282177
+0.0266578
+0.0251308
+0.0236555
+0.0222964
+0.0210122
+0.0197735
+0.0185658
+0.0175275
+0.0165691
+0.015672
+0.0149717
+0.0143542
+0.0139176
+0.013587
+0.0134188
+0.0134486
+0.0136544
+0.0140723
+0.0146512
+0.0152045
+0.0159691
+0.0167861
+0.017719
+0.0188163
+0.0198787
+0.0210509
+0.0222463
+0.0234015
+0.0245951
+0.0256029
+0.0257597
+0.02603
+0.025863
+0.0258811
+0.0251391
+0.0242305
+0.0234524
+0.0228584
+0.0224369
+0.0221727
+0.0219957
+0.0216168
+0.0213157
+0.0209298
+0.0204531
+0.0201411
+0.0199891
+0.0200761
+0.0203542
+0.0208473
+0.0213905
+0.0210345
+0.0195741
+0.0178323
+0.0162
+0.0145737
+0.0129916
+0.0114405
+0.0101285
+0.00889793
+0.00796837
+0.00701698
+0.00577291
+0.00497631
+0.00447895
+0.00409562
+0.00346117
+0.00396644
+0.00526548
+0.00700154
+0.00891461
+0.0109324
+0.0130062
+0.0140971
+0.0122621
+0.010445
+0.0086803
+0.00706794
+0.00573315
+0.00476566
+0.00442256
+0.00435671
+0.00505751
+0.0061404
+0.00752403
+0.00915441
+0.0109567
+0.0128799
+0.0148029
+0.0167617
+0.0187585
+0.0207792
+0.0228205
+0.0248871
+0.0358834
+0.0341761
+0.032504
+0.0308227
+0.0291687
+0.0275606
+0.0259612
+0.0244536
+0.0230294
+0.0216327
+0.0203543
+0.0192337
+0.0181086
+0.0170571
+0.0161817
+0.0154701
+0.014807
+0.014306
+0.0139992
+0.0138518
+0.01371
+0.0138743
+0.0142452
+0.0147332
+0.0154056
+0.0162446
+0.0169905
+0.0179385
+0.0189615
+0.020001
+0.021207
+0.0223452
+0.023597
+0.0245987
+0.0247737
+0.0248209
+0.0249255
+0.0251908
+0.0253847
+0.0246582
+0.0238586
+0.0232215
+0.0227135
+0.0223653
+0.0222135
+0.0222772
+0.0217619
+0.021238
+0.0204012
+0.0196163
+0.0190185
+0.0186363
+0.018472
+0.0185503
+0.018837
+0.0191898
+0.0197786
+0.0201408
+0.0187642
+0.0169394
+0.0152115
+0.0136174
+0.0122097
+0.0108485
+0.0096348
+0.00850888
+0.00761806
+0.00664462
+0.00531805
+0.00438126
+0.00360639
+0.00308328
+0.00341467
+0.00446308
+0.00564914
+0.00729445
+0.00914647
+0.0111223
+0.0131662
+0.014666
+0.0127602
+0.0108733
+0.00907193
+0.00737897
+0.0059334
+0.00486057
+0.00412906
+0.00422601
+0.00448652
+0.0053891
+0.00682531
+0.00848777
+0.0102641
+0.0121649
+0.014132
+0.0161484
+0.018133
+0.0201561
+0.0221965
+0.0242629
+0.0351892
+0.0334732
+0.0317921
+0.0301495
+0.0285394
+0.0269233
+0.0253776
+0.023894
+0.0224457
+0.021113
+0.0198662
+0.0187225
+0.0177403
+0.0167553
+0.0159627
+0.0152942
+0.0148228
+0.0144931
+0.0142244
+0.014151
+0.0142284
+0.0144374
+0.0148573
+0.0155082
+0.0162403
+0.0171351
+0.0181558
+0.0190962
+0.0201677
+0.0213205
+0.0224791
+0.0237487
+0.0242926
+0.0242728
+0.0242433
+0.0241473
+0.0242238
+0.0242661
+0.0235022
+0.0228202
+0.0219551
+0.0212611
+0.0207127
+0.0203224
+0.0201552
+0.0202253
+0.0204284
+0.0201847
+0.019148
+0.0183156
+0.0176739
+0.017262
+0.0170844
+0.0171318
+0.0172647
+0.017649
+0.018023
+0.0182522
+0.0177433
+0.0161111
+0.0143811
+0.0127573
+0.0112955
+0.0100414
+0.00905428
+0.00796554
+0.00723893
+0.00580218
+0.00486667
+0.00428258
+0.00321136
+0.00265445
+0.00297738
+0.00432188
+0.00610033
+0.00807666
+0.00986847
+0.0117256
+0.0136798
+0.0151834
+0.0132328
+0.011362
+0.00955328
+0.00785616
+0.00636165
+0.00493839
+0.0040674
+0.00392709
+0.00401226
+0.00479705
+0.0061624
+0.00782651
+0.00965068
+0.0115223
+0.0134718
+0.0154859
+0.0175249
+0.0195587
+0.0216232
+0.023674
+0.0344502
+0.0328094
+0.03117
+0.02953
+0.0279334
+0.0264123
+0.0248549
+0.0233644
+0.0219884
+0.0206954
+0.0194772
+0.0183904
+0.0174166
+0.0166048
+0.0158421
+0.0153057
+0.0149635
+0.0147403
+0.0146492
+0.0147188
+0.0148612
+0.0151908
+0.0156864
+0.0163412
+0.017203
+0.018123
+0.0191826
+0.0203265
+0.0214422
+0.022574
+0.0238135
+0.024344
+0.0241262
+0.0240269
+0.0237255
+0.0236009
+0.023482
+0.0225036
+0.0216777
+0.0209719
+0.0201102
+0.0193501
+0.0187314
+0.0183136
+0.0181279
+0.0181941
+0.0183819
+0.0187615
+0.0180363
+0.0171502
+0.0165091
+0.0160698
+0.0157793
+0.015695
+0.01584
+0.0162235
+0.0161889
+0.0164143
+0.0162488
+0.0148717
+0.0135677
+0.0118985
+0.0103477
+0.00906502
+0.0081023
+0.00748665
+0.00678826
+0.00532126
+0.00424015
+0.00327715
+0.00191097
+0.00178678
+0.00327996
+0.00485362
+0.00649877
+0.00839108
+0.0104012
+0.0124722
+0.0145069
+0.0157929
+0.0138772
+0.0119858
+0.0101637
+0.00828734
+0.00656833
+0.00513242
+0.00408665
+0.00372852
+0.00372395
+0.00437774
+0.00560378
+0.00722621
+0.0090414
+0.0109943
+0.0129466
+0.0149057
+0.0169018
+0.0189331
+0.0209894
+0.0230704
+0.0337814
+0.0321487
+0.030545
+0.0290152
+0.0274214
+0.0258922
+0.0244277
+0.0229876
+0.0215964
+0.02033
+0.0192304
+0.0181768
+0.017282
+0.0164708
+0.0158575
+0.0154635
+0.0152058
+0.0150866
+0.0151393
+0.0153466
+0.0156403
+0.016129
+0.0166694
+0.017347
+0.0182067
+0.0192352
+0.0203001
+0.0214668
+0.0226777
+0.0239313
+0.0241434
+0.0240587
+0.0237762
+0.0236385
+0.0233614
+0.022916
+0.021803
+0.0208226
+0.0198825
+0.0190968
+0.0183415
+0.0174914
+0.0167854
+0.0163234
+0.0161148
+0.0161511
+0.0163727
+0.0167651
+0.0170866
+0.0161906
+0.0154476
+0.0148672
+0.0145198
+0.0144484
+0.0145545
+0.0144931
+0.0144407
+0.0146682
+0.0149272
+0.0134145
+0.0120649
+0.0109558
+0.00971915
+0.00840228
+0.0073533
+0.00660208
+0.0060781
+0.00479489
+0.00403097
+0.00289851
+0.00147857
+0.00160882
+0.00321861
+0.00521545
+0.00728878
+0.00921024
+0.0110726
+0.0130375
+0.0150647
+0.0163791
+0.0143541
+0.0123824
+0.0104555
+0.00865166
+0.00687313
+0.00531456
+0.00420183
+0.00352888
+0.00337128
+0.00399449
+0.00516225
+0.00672596
+0.00846481
+0.0103365
+0.012279
+0.0142854
+0.0163392
+0.0184245
+0.0205318
+0.0226549
+0.0331669
+0.0315626
+0.0299693
+0.0284344
+0.0269661
+0.0255155
+0.0240772
+0.022694
+0.0213984
+0.0201435
+0.0190332
+0.0180678
+0.017295
+0.0165806
+0.0159704
+0.0156427
+0.0155087
+0.015515
+0.0157518
+0.0160294
+0.0164644
+0.0170024
+0.0177299
+0.0184521
+0.0193641
+0.0203747
+0.0215077
+0.0226674
+0.0239044
+0.023949
+0.0236994
+0.0235353
+0.0232301
+0.0231197
+0.0227286
+0.0214117
+0.0202221
+0.0191871
+0.0181408
+0.0172915
+0.0166182
+0.0156707
+0.0149074
+0.0143749
+0.0141376
+0.0141421
+0.0144166
+0.0148229
+0.0154963
+0.0151785
+0.014321
+0.0137484
+0.0132916
+0.0130724
+0.0131073
+0.0127532
+0.0127091
+0.0129712
+0.0131836
+0.0121766
+0.0106944
+0.00943199
+0.00854558
+0.00752748
+0.00667545
+0.00611879
+0.00534378
+0.00444752
+0.00317427
+0.00201773
+0.00210385
+0.00282491
+0.00411492
+0.00586369
+0.00781084
+0.00984472
+0.0119342
+0.0139281
+0.0158418
+0.016792
+0.0148232
+0.012855
+0.0108308
+0.00886783
+0.00704048
+0.00541233
+0.00410087
+0.00336473
+0.00329012
+0.00360772
+0.00462942
+0.00614665
+0.00793
+0.0098786
+0.0118901
+0.0139525
+0.0160489
+0.0180866
+0.0201236
+0.0221898
+0.0325106
+0.0309745
+0.0294706
+0.0279352
+0.0264743
+0.0251091
+0.02382
+0.0224769
+0.0212338
+0.0200751
+0.0189983
+0.0180841
+0.0173288
+0.0167031
+0.0162631
+0.0159951
+0.0159132
+0.0160956
+0.0163412
+0.0168502
+0.0173424
+0.0179843
+0.0187452
+0.0196432
+0.0205493
+0.0216111
+0.0227332
+0.0239491
+0.0240467
+0.0236617
+0.0233902
+0.0231819
+0.0228719
+0.022763
+0.0214371
+0.0200276
+0.0187079
+0.0175385
+0.0164843
+0.0155518
+0.0148264
+0.0139553
+0.0131037
+0.0124978
+0.0122241
+0.0121958
+0.0125105
+0.0129486
+0.0137165
+0.0136283
+0.0134593
+0.0127213
+0.012156
+0.0119159
+0.0115329
+0.0111362
+0.0110859
+0.0112284
+0.0113774
+0.0106146
+0.00960673
+0.0082042
+0.00716296
+0.00657011
+0.00591378
+0.005288
+0.00436618
+0.00363211
+0.00225601
+0.00165536
+0.00239861
+0.00356779
+0.00514909
+0.00695569
+0.00875952
+0.0106441
+0.0126226
+0.0146436
+0.0165718
+0.0172409
+0.0152057
+0.0131867
+0.011227
+0.00932906
+0.00748445
+0.00577986
+0.00450074
+0.00348341
+0.00320817
+0.00334168
+0.00431424
+0.00582752
+0.00760111
+0.00949011
+0.0114299
+0.0134409
+0.0154866
+0.0175668
+0.0196643
+0.0217739
+0.0319449
+0.0303975
+0.0289241
+0.0275223
+0.0261086
+0.0247398
+0.0234857
+0.0223683
+0.0211802
+0.0201037
+0.0190886
+0.0182706
+0.0175401
+0.0169942
+0.0165649
+0.0163989
+0.0164323
+0.0166419
+0.0170431
+0.0176359
+0.0183393
+0.0190068
+0.0198483
+0.020772
+0.0218022
+0.0228655
+0.0240124
+0.024492
+0.0239413
+0.0235545
+0.0232818
+0.0230322
+0.0227203
+0.0218528
+0.0202399
+0.0187356
+0.0172927
+0.0160203
+0.0149002
+0.0138722
+0.0130715
+0.012366
+0.0114116
+0.0107402
+0.0103724
+0.0103461
+0.0106632
+0.0111623
+0.0115948
+0.0114503
+0.0115047
+0.0116422
+0.0113335
+0.0108035
+0.0101244
+0.00973766
+0.00953622
+0.0096444
+0.00973056
+0.00878226
+0.00801721
+0.00729876
+0.00617387
+0.00547048
+0.00484399
+0.00386159
+0.0031664
+0.00269825
+0.00140852
+0.000448167
+0.00204313
+0.00413161
+0.00566704
+0.00741564
+0.00924117
+0.0111663
+0.0130599
+0.0150345
+0.0170619
+0.017709
+0.0156402
+0.0136096
+0.0116373
+0.00970777
+0.00788509
+0.00615884
+0.00466939
+0.00358653
+0.00304766
+0.0032027
+0.00397764
+0.0053662
+0.00708264
+0.00897374
+0.0109768
+0.0130404
+0.0151094
+0.0171835
+0.0192804
+0.0213821
+0.0314978
+0.0299483
+0.0284611
+0.0270613
+0.0257446
+0.0245066
+0.0232675
+0.0221361
+0.0211125
+0.0202599
+0.0193182
+0.0185219
+0.0178663
+0.0173966
+0.0171396
+0.0169866
+0.0170666
+0.0173771
+0.017865
+0.0184614
+0.0192021
+0.0200738
+0.0209772
+0.0219621
+0.0230306
+0.0241663
+0.0252917
+0.0245845
+0.024036
+0.0236506
+0.0233792
+0.0230904
+0.0226121
+0.0208282
+0.0191292
+0.0175394
+0.0160486
+0.0146684
+0.0134203
+0.0123266
+0.0114555
+0.0107764
+0.00983183
+0.00905287
+0.00866009
+0.0086286
+0.00895429
+0.00937727
+0.0094559
+0.00927815
+0.00931569
+0.00945492
+0.0096219
+0.00956831
+0.00887472
+0.00832094
+0.00802524
+0.00821296
+0.00795997
+0.0071157
+0.00619126
+0.00563042
+0.00510239
+0.00443953
+0.00376892
+0.00252846
+0.00235563
+0.00156644
+0.000276809
+0.000683721
+0.00219661
+0.00398521
+0.00569201
+0.00744635
+0.00937582
+0.0114001
+0.0134765
+0.0155472
+0.0175153
+0.0181378
+0.0161032
+0.0140891
+0.0121223
+0.0102468
+0.008402
+0.00659391
+0.00506319
+0.00373403
+0.00303875
+0.00315162
+0.00378922
+0.00513158
+0.00681986
+0.00862448
+0.010576
+0.0126063
+0.0146828
+0.0167883
+0.0189083
+0.0210248
+0.0311628
+0.0296202
+0.0281279
+0.0267191
+0.0254107
+0.0242027
+0.0231396
+0.0220877
+0.021095
+0.0202263
+0.0195529
+0.018893
+0.0183401
+0.0179309
+0.0177349
+0.0177489
+0.0178957
+0.0182204
+0.0187594
+0.0194214
+0.0202038
+0.0210937
+0.0221083
+0.023185
+0.0242881
+0.025435
+0.0255514
+0.0248705
+0.0243214
+0.0239291
+0.0236797
+0.0233296
+0.0218443
+0.0199921
+0.0182152
+0.0165379
+0.0149577
+0.0134843
+0.0121142
+0.0108939
+0.00988176
+0.00908421
+0.00834494
+0.00751871
+0.00707552
+0.00704715
+0.00712499
+0.00755517
+0.0073412
+0.0071174
+0.00712764
+0.00726961
+0.00748549
+0.00829423
+0.0078892
+0.00707647
+0.00680029
+0.00706621
+0.00611103
+0.00523698
+0.00457298
+0.00385004
+0.00340389
+0.00285665
+0.00200955
+0.00192007
+0.00106081
+-0.000184441
+0.000186832
+0.00103754
+0.00252468
+0.00424312
+0.00609855
+0.00795691
+0.00981819
+0.0117702
+0.013791
+0.0158424
+0.0179087
+0.0187113
+0.0166292
+0.0145423
+0.0124911
+0.0104895
+0.00854027
+0.00674108
+0.00518375
+0.00394437
+0.00302082
+0.00297988
+0.00353266
+0.00479578
+0.00646489
+0.00833664
+0.0103345
+0.0123733
+0.0144321
+0.0165168
+0.0186253
+0.0207361
+0.0309022
+0.0293932
+0.0279249
+0.0265372
+0.0252318
+0.0240406
+0.02297
+0.0220655
+0.0211993
+0.0203878
+0.0197318
+0.0192913
+0.0188894
+0.0185462
+0.0184552
+0.0185678
+0.0187886
+0.0191876
+0.0197101
+0.0204291
+0.0212431
+0.022182
+0.0232265
+0.0243478
+0.0255011
+0.0267346
+0.0259624
+0.0253276
+0.0247672
+0.024382
+0.0241295
+0.0230428
+0.0212221
+0.0193689
+0.0175289
+0.0157366
+0.0140479
+0.0124765
+0.0109622
+0.00957856
+0.00843855
+0.00751133
+0.00670251
+0.00595341
+0.00549405
+0.00540827
+0.00542011
+0.00546113
+0.00517091
+0.00497768
+0.00494195
+0.00508893
+0.00539283
+0.00640068
+0.00637906
+0.00613966
+0.00595594
+0.00529942
+0.00421358
+0.00325642
+0.00259702
+0.00226005
+0.0016124
+0.000747616
+0.000793961
+0.000546103
+-0.000551871
+-3.09285e-05
+0.000851545
+0.00201971
+0.00334701
+0.00492679
+0.00672474
+0.00857945
+0.010536
+0.0124467
+0.0143918
+0.0163829
+0.0183562
+0.0189753
+0.0168942
+0.0148447
+0.0128366
+0.0108344
+0.00890523
+0.00705688
+0.00539794
+0.00411069
+0.00311874
+0.00302041
+0.00344907
+0.00458598
+0.00620265
+0.00803607
+0.0100141
+0.0120658
+0.0141593
+0.0162512
+0.0183488
+0.0204659
+0.0307178
+0.0292659
+0.0278568
+0.0264748
+0.0251939
+0.0240157
+0.0229618
+0.022057
+0.0213395
+0.0206827
+0.0201338
+0.0197175
+0.0195168
+0.0192988
+0.0192145
+0.0193537
+0.0197142
+0.0202214
+0.0208004
+0.0215064
+0.0223486
+0.0233019
+0.0243577
+0.025502
+0.026735
+0.0273055
+0.0265268
+0.0259058
+0.0253947
+0.025016
+0.0244703
+0.0225524
+0.0206478
+0.018738
+0.0168965
+0.0151259
+0.0133652
+0.0117131
+0.0100474
+0.00852963
+0.00718297
+0.00598056
+0.0050887
+0.0043701
+0.00387606
+0.0036732
+0.00362213
+0.00342132
+0.00299945
+0.0028577
+0.00276419
+0.00292326
+0.00341463
+0.00446497
+0.00429954
+0.00398486
+0.00394362
+0.00332388
+0.00228899
+0.00152981
+0.000593018
+0.000176784
+-3.81843e-05
+-0.0010059
+-0.00131472
+-0.00118973
+7.11357e-06
+0.00141807
+0.00243843
+0.00335172
+0.00445805
+0.00574361
+0.00725001
+0.00888411
+0.0105375
+0.0122105
+0.0139931
+0.0158559
+0.0177832
+0.0193409
+0.0172569
+0.0151964
+0.013139
+0.0111157
+0.0091697
+0.00735737
+0.00573079
+0.00443343
+0.00351586
+0.0032107
+0.00340694
+0.00443563
+0.00598569
+0.00777262
+0.00972609
+0.0117634
+0.0138477
+0.0159452
+0.0180532
+0.0201789
+0.0306006
+0.0291805
+0.0278526
+0.026583
+0.0253161
+0.0241753
+0.023128
+0.0222299
+0.0215182
+0.0209621
+0.0205791
+0.0202395
+0.0200973
+0.020071
+0.0201287
+0.0202969
+0.0206409
+0.0211504
+0.0218384
+0.0226574
+0.023542
+0.0244956
+0.0255565
+0.0267161
+0.0279301
+0.0280144
+0.027256
+0.0266315
+0.0261256
+0.0257951
+0.0242082
+0.0222675
+0.0202738
+0.018325
+0.0164373
+0.0146144
+0.0128314
+0.0111228
+0.00933803
+0.00775221
+0.00622261
+0.00477409
+0.00363414
+0.00276891
+0.00214128
+0.00189161
+0.00158018
+0.00145641
+0.0009022
+0.000738577
+0.000611056
+0.000829666
+0.00167722
+0.00246845
+0.00240894
+0.00186341
+0.00183088
+0.0015373
+0.000661214
+-0.000558458
+-0.00115494
+-0.00123576
+-0.00212666
+-0.00280805
+-0.00264809
+-0.00196353
+-0.000251726
+0.00147441
+0.00295882
+0.00402458
+0.00452218
+0.0051771
+0.00632508
+0.00766216
+0.00928571
+0.0110873
+0.0129832
+0.0149598
+0.016989
+0.019054
+0.0176725
+0.0156136
+0.0135899
+0.0115997
+0.00969583
+0.0078642
+0.00617476
+0.00477581
+0.00370508
+0.00324044
+0.00326035
+0.00425
+0.00583091
+0.00763731
+0.00960102
+0.011646
+0.0136781
+0.015722
+0.0178002
+0.0199018
+0.0306164
+0.0292141
+0.0278879
+0.0266759
+0.0255083
+0.0244355
+0.0234862
+0.0226024
+0.0219028
+0.0213698
+0.0210366
+0.0208755
+0.0207716
+0.0208178
+0.0209997
+0.0212816
+0.0217165
+0.0222293
+0.0228884
+0.0237288
+0.0246899
+0.0257178
+0.0268079
+0.0279526
+0.0291894
+0.0288726
+0.028133
+0.0275003
+0.0270106
+0.0261277
+0.0241428
+0.0221126
+0.0201035
+0.0181365
+0.0162268
+0.0143191
+0.0124459
+0.010623
+0.0087373
+0.00697399
+0.00537127
+0.00384334
+0.0024359
+0.00118682
+0.000486861
+3.99613e-05
+-0.000441501
+-0.000700078
+-0.00115248
+-0.00130957
+-0.00147654
+-0.0011348
+-6.78958e-05
+0.000769212
+0.000672636
+-0.000213884
+-0.000348573
+-0.000201402
+-0.00141201
+-0.00212194
+-0.00282053
+-0.0031623
+-0.00381375
+-0.00482601
+-0.00360333
+-0.00160046
+2.72296e-05
+0.000960399
+0.00231537
+0.00240879
+0.00336963
+0.00383509
+0.00492958
+0.00646799
+0.0082871
+0.0102427
+0.0122698
+0.014345
+0.0164503
+0.0185753
+0.018167
+0.0161462
+0.0141324
+0.012156
+0.0102281
+0.00840106
+0.00669948
+0.00523567
+0.00407392
+0.00337266
+0.0033244
+0.00424726
+0.0057132
+0.00749224
+0.00938943
+0.0113872
+0.0134282
+0.0155034
+0.0175647
+0.019627
+0.0306002
+0.0293051
+0.0280693
+0.0268655
+0.025771
+0.0247551
+0.0238405
+0.0230859
+0.0224662
+0.021966
+0.0216497
+0.0215327
+0.0215053
+0.0216275
+0.0218878
+0.0223143
+0.0227897
+0.0233803
+0.0240613
+0.0248725
+0.0258222
+0.0268766
+0.028013
+0.0292276
+0.0304754
+0.0298631
+0.0291211
+0.0285113
+0.0280393
+0.0262254
+0.024209
+0.0221742
+0.0201711
+0.0182114
+0.0162362
+0.0142787
+0.0123985
+0.010515
+0.00859449
+0.0067342
+0.00490686
+0.0031181
+0.00140843
+-8.06684e-05
+-0.00125557
+-0.0018971
+-0.0023753
+-0.00285941
+-0.00310624
+-0.00334003
+-0.00336869
+-0.00292152
+-0.00197184
+-0.00118976
+-0.00145503
+-0.00204881
+-0.00241972
+-0.00232313
+-0.00306228
+-0.00396169
+-0.00484332
+-0.00525587
+-0.0057536
+-0.00623995
+-0.00432892
+-0.00265693
+-0.00101134
+0.000326341
+0.00096094
+0.000960201
+0.001887
+0.00261875
+0.00398127
+0.00575561
+0.00774391
+0.00981873
+0.0119218
+0.0139705
+0.0159194
+0.0178432
+0.0186426
+0.0165876
+0.0145603
+0.0125757
+0.010672
+0.00885036
+0.00712962
+0.00559882
+0.00440448
+0.00358617
+0.00354028
+0.00431612
+0.00570574
+0.00739484
+0.00927674
+0.0112321
+0.0132213
+0.0152641
+0.0173234
+0.0194114
+0.0307166
+0.0294334
+0.028252
+0.0271961
+0.0261486
+0.0251985
+0.0243273
+0.0235885
+0.023
+0.0226036
+0.0223795
+0.0223094
+0.0223057
+0.0225162
+0.0228683
+0.0232874
+0.0239008
+0.0245567
+0.0253109
+0.0261332
+0.0270599
+0.0280979
+0.0292286
+0.0304353
+0.0317168
+0.0309547
+0.0302357
+0.0296499
+0.0284752
+0.026439
+0.0244242
+0.0224423
+0.0204698
+0.0184402
+0.016452
+0.0145222
+0.0126105
+0.0106734
+0.00884221
+0.00691205
+0.00498376
+0.00307217
+0.00115357
+-0.000829986
+-0.00223241
+-0.00316876
+-0.00412828
+-0.00485344
+-0.00516361
+-0.00545449
+-0.00540731
+-0.00483226
+-0.00371024
+-0.00336621
+-0.00352756
+-0.00402289
+-0.0043467
+-0.00447118
+-0.00503244
+-0.00584413
+-0.00688798
+-0.00740265
+-0.00779081
+-0.00729906
+-0.00563391
+-0.0038516
+-0.00231064
+-0.00122218
+-0.000486773
+-0.000138648
+0.000690676
+0.00149022
+0.00316866
+0.00522335
+0.00722394
+0.00909176
+0.0110324
+0.0129626
+0.0149404
+0.016882
+0.0188678
+0.017063
+0.0150382
+0.0130543
+0.0111479
+0.00936558
+0.00766065
+0.00606432
+0.00473965
+0.00387852
+0.00373806
+0.00430869
+0.00551482
+0.00710783
+0.00894894
+0.0109146
+0.0129527
+0.0150181
+0.0170486
+0.0191116
+0.0308303
+0.029634
+0.02854
+0.0274951
+0.0265494
+0.0256836
+0.024936
+0.0242589
+0.0237078
+0.0233234
+0.0231063
+0.0230958
+0.0232316
+0.0234338
+0.0238364
+0.0243383
+0.0249753
+0.0256993
+0.0265537
+0.0274304
+0.028371
+0.0293935
+0.0305077
+0.0317055
+0.0329429
+0.0321552
+0.0314636
+0.030868
+0.0288299
+0.0268158
+0.0248315
+0.022885
+0.0208652
+0.0188782
+0.0169415
+0.0150454
+0.013102
+0.0112498
+0.00937903
+0.00754204
+0.00566572
+0.00380561
+0.0021159
+0.000730161
+-0.000258798
+-0.00117805
+-0.00219238
+-0.0028347
+-0.00343914
+-0.0044006
+-0.00495003
+-0.00515469
+-0.0054402
+-0.00551335
+-0.00565656
+-0.0060205
+-0.00615968
+-0.00625307
+-0.00660805
+-0.00736319
+-0.00821892
+-0.0092786
+-0.00989375
+-0.00860693
+-0.00673242
+-0.00505049
+-0.0037253
+-0.0026667
+-0.00202731
+-0.000887172
+-8.0376e-05
+0.000739647
+0.00232627
+0.0042586
+0.00616383
+0.00810355
+0.0100653
+0.0119835
+0.0139786
+0.0160248
+0.0181049
+0.0175463
+0.0155612
+0.0135388
+0.0115656
+0.00966746
+0.00790199
+0.00634476
+0.00510126
+0.00422884
+0.0038499
+0.00427127
+0.00544508
+0.00703875
+0.00885917
+0.010786
+0.0127613
+0.0147726
+0.0168041
+0.0188671
+0.0310699
+0.0298832
+0.0288144
+0.0278771
+0.0270436
+0.0261969
+0.0255107
+0.0249801
+0.024467
+0.0241386
+0.0240063
+0.0240015
+0.0241679
+0.0244866
+0.0248722
+0.0254321
+0.0260895
+0.026864
+0.027712
+0.0286897
+0.0296966
+0.0307241
+0.0318408
+0.0330136
+0.0342225
+0.0334561
+0.032792
+0.0313449
+0.0293398
+0.0273632
+0.0254217
+0.0234494
+0.0214723
+0.0195305
+0.0176469
+0.015767
+0.0139227
+0.0121164
+0.0103113
+0.00856837
+0.00675494
+0.00519458
+0.00375627
+0.00265388
+0.0017249
+0.000733323
+-0.00012064
+-0.000702843
+-0.00148109
+-0.00255368
+-0.00351705
+-0.00367037
+-0.00413562
+-0.00508411
+-0.00628978
+-0.00740157
+-0.00804576
+-0.00817012
+-0.00845398
+-0.00909692
+-0.00975292
+-0.0106814
+-0.0115242
+-0.00971885
+-0.00802061
+-0.0065755
+-0.00537281
+-0.00434896
+-0.00345749
+-0.00246825
+-0.00167807
+-0.000122201
+0.00143732
+0.0033349
+0.00519402
+0.00708496
+0.00909927
+0.0111801
+0.0132963
+0.01534
+0.0173916
+0.0178831
+0.015847
+0.0138539
+0.0119304
+0.01007
+0.0083017
+0.00674216
+0.00547398
+0.00455972
+0.00412024
+0.00441433
+0.00548357
+0.0069669
+0.00872524
+0.0106008
+0.0125418
+0.0145415
+0.0165582
+0.0186112
+0.0314533
+0.0302888
+0.0292348
+0.0283115
+0.0275318
+0.0268322
+0.0261627
+0.02566
+0.025304
+0.0250347
+0.0249069
+0.0249713
+0.0251841
+0.025553
+0.0260514
+0.0265952
+0.0272803
+0.0280682
+0.0289452
+0.029904
+0.0309741
+0.0321021
+0.0331974
+0.0343728
+0.0355828
+0.0348463
+0.0339559
+0.031965
+0.0300014
+0.0280606
+0.0261303
+0.0241655
+0.022243
+0.0203747
+0.018563
+0.0167207
+0.0149626
+0.0131994
+0.0115134
+0.00979643
+0.00823949
+0.00680023
+0.00563313
+0.00462866
+0.00369847
+0.00264385
+0.00190939
+0.00126229
+0.00025593
+-0.000726955
+-0.00178894
+-0.00296354
+-0.00349822
+-0.00441649
+-0.00564345
+-0.00706766
+-0.00817706
+-0.00887676
+-0.00962946
+-0.0103728
+-0.0114027
+-0.0122878
+-0.0127111
+-0.0110372
+-0.00946285
+-0.00812269
+-0.0067822
+-0.0057879
+-0.00472507
+-0.0038867
+-0.00295382
+-0.00131833
+0.00035972
+0.00218659
+0.00426434
+0.00641766
+0.0084698
+0.0104865
+0.0125382
+0.0146299
+0.016747
+0.0183068
+0.0162881
+0.0143093
+0.012369
+0.0104888
+0.00874704
+0.00716004
+0.00587448
+0.00508919
+0.00459936
+0.00470036
+0.00558894
+0.00692086
+0.00858104
+0.0103707
+0.0122741
+0.0142252
+0.0162113
+0.0182433
+0.0319313
+0.03079
+0.0297528
+0.0288449
+0.028079
+0.0274669
+0.0269598
+0.0264898
+0.0261454
+0.0259816
+0.0259294
+0.0259917
+0.0262373
+0.0266291
+0.0271638
+0.0278528
+0.0285458
+0.02934
+0.0302008
+0.0311719
+0.0322352
+0.0333744
+0.0345929
+0.0357339
+0.0369585
+0.0363067
+0.0346679
+0.0327178
+0.0307685
+0.0288538
+0.0269459
+0.0250452
+0.0231957
+0.0214107
+0.0196075
+0.0178649
+0.0161652
+0.0144801
+0.012865
+0.0113055
+0.00987175
+0.00860239
+0.0075476
+0.00664699
+0.00562935
+0.00464964
+0.00396428
+0.00308042
+0.00212573
+0.000984693
+-0.000105205
+-0.00143077
+-0.00284174
+-0.00384878
+-0.00485978
+-0.00627888
+-0.00748593
+-0.00889571
+-0.00979432
+-0.0107786
+-0.0118848
+-0.0131911
+-0.014041
+-0.0124444
+-0.0109281
+-0.009496
+-0.00826784
+-0.00704646
+-0.00599078
+-0.00525491
+-0.00419097
+-0.00222462
+-7.05993e-05
+0.00184167
+0.00361842
+0.00563424
+0.00773921
+0.00987215
+0.0120174
+0.0141766
+0.0163442
+0.0185172
+0.0167185
+0.0147582
+0.0128725
+0.0110509
+0.0093672
+0.00781485
+0.00649721
+0.00558343
+0.00492909
+0.00508095
+0.00581471
+0.00700876
+0.0085401
+0.0102319
+0.0120809
+0.0140273
+0.0159988
+0.0179701
+0.0324591
+0.0313566
+0.0303718
+0.0295171
+0.0287805
+0.0281837
+0.0276562
+0.0272526
+0.027021
+0.0269393
+0.0269997
+0.0271271
+0.0273626
+0.0277694
+0.0283112
+0.0289972
+0.0297762
+0.0306184
+0.0315537
+0.0324892
+0.0335372
+0.0346867
+0.0358795
+0.037145
+0.038351
+0.0374282
+0.0354761
+0.033544
+0.0316456
+0.0297689
+0.0279009
+0.0260797
+0.024309
+0.0225503
+0.0208237
+0.0191729
+0.0174924
+0.0159147
+0.0143853
+0.0129559
+0.0116337
+0.0105056
+0.00951695
+0.008589
+0.00750235
+0.00672346
+0.00605472
+0.00502185
+0.00391172
+0.0028392
+0.00158078
+0.00019373
+-0.00116095
+-0.00234182
+-0.00375192
+-0.00536975
+-0.00675452
+-0.00814647
+-0.00954133
+-0.0108493
+-0.0119614
+-0.0132254
+-0.0144695
+-0.0138088
+-0.0123474
+-0.011015
+-0.00978049
+-0.00853425
+-0.00760659
+-0.00665407
+-0.00484201
+-0.00282993
+-0.00102493
+0.000881573
+0.00303994
+0.00522108
+0.00740738
+0.00959567
+0.0117849
+0.0139745
+0.0161645
+0.0183546
+0.0173059
+0.0153406
+0.0134452
+0.011623
+0.00993781
+0.00839081
+0.00705741
+0.00617186
+0.00565596
+0.00562127
+0.00613397
+0.00720457
+0.00857835
+0.0101717
+0.0119355
+0.0137921
+0.0157348
+0.0177125
+0.03305
+0.0319827
+0.0310174
+0.0301555
+0.0294247
+0.0288422
+0.0284055
+0.0280957
+0.0278712
+0.0278095
+0.0278952
+0.0281515
+0.0285305
+0.0289812
+0.0295187
+0.0301847
+0.0309917
+0.0318768
+0.0328237
+0.033846
+0.0349028
+0.0360139
+0.0372208
+0.038471
+0.0397748
+0.0382863
+0.0363716
+0.0344897
+0.032636
+0.0307861
+0.0289837
+0.0272384
+0.0255221
+0.0238177
+0.0221899
+0.0205275
+0.0189522
+0.0174716
+0.0160455
+0.0146856
+0.0134854
+0.0124416
+0.011519
+0.0104829
+0.00949364
+0.00877241
+0.00797886
+0.00693147
+0.00583528
+0.00454699
+0.00324213
+0.00186873
+0.000668593
+-0.000776953
+-0.00241044
+-0.00397698
+-0.0055452
+-0.00717779
+-0.00857906
+-0.00995626
+-0.0112743
+-0.0127291
+-0.0138211
+-0.0125102
+-0.0113671
+-0.0103529
+-0.00959638
+-0.00911869
+-0.008488
+-0.00678356
+-0.00480673
+-0.00291057
+-0.000972819
+0.00110418
+0.00322397
+0.00539706
+0.00758002
+0.00975474
+0.0119147
+0.0140842
+0.0162594
+0.0184382
+0.0178664
+0.0159721
+0.0140564
+0.012217
+0.0105131
+0.00896451
+0.00770696
+0.00681995
+0.006343
+0.00621584
+0.00652365
+0.00738863
+0.00864937
+0.0101599
+0.0118629
+0.0136862
+0.0155932
+0.0175664
+0.0337401
+0.0326888
+0.031745
+0.0309103
+0.0301978
+0.0296305
+0.0292059
+0.0289204
+0.0287831
+0.0287315
+0.0288454
+0.0290958
+0.0295048
+0.0300682
+0.0306894
+0.0314245
+0.0322201
+0.0331091
+0.0341021
+0.0351596
+0.0362485
+0.0374018
+0.0385653
+0.0398155
+0.0411255
+0.0392401
+0.0373743
+0.0355418
+0.033709
+0.0319214
+0.0301869
+0.0285085
+0.0268276
+0.0252076
+0.0235719
+0.022004
+0.0205423
+0.0191187
+0.0177445
+0.0164922
+0.0153932
+0.0144113
+0.0134365
+0.0123828
+0.0114745
+0.0106887
+0.00984657
+0.00878001
+0.00757391
+0.00629905
+0.0049399
+0.00368122
+0.00223527
+0.000584218
+-0.00123971
+-0.0026996
+-0.00443924
+-0.00596229
+-0.00731298
+-0.00864626
+-0.0100207
+-0.0115301
+-0.0122524
+-0.0111664
+-0.00997152
+-0.00894306
+-0.00804883
+-0.00754642
+-0.0072273
+-0.00635088
+-0.0043165
+-0.00218752
+-0.000187202
+0.00154119
+0.0035503
+0.00565439
+0.00779377
+0.00995548
+0.0121276
+0.0143054
+0.0164757
+0.0186462
+0.0183517
+0.0164219
+0.0145642
+0.0127849
+0.0111363
+0.00968259
+0.00847017
+0.00749606
+0.00693404
+0.00657386
+0.00678527
+0.0075673
+0.00876818
+0.0102035
+0.0118564
+0.0136339
+0.0154643
+0.017368
+0.0345059
+0.0334947
+0.0325841
+0.0317984
+0.0311062
+0.0305558
+0.0301443
+0.0298677
+0.0297503
+0.0297628
+0.0298739
+0.0301443
+0.0305557
+0.0311001
+0.0317632
+0.0325486
+0.0333776
+0.0343167
+0.0353584
+0.0364219
+0.0375831
+0.0387388
+0.0399564
+0.0411886
+0.0421411
+0.0402905
+0.0384756
+0.0366608
+0.0348868
+0.0331628
+0.0314869
+0.0298533
+0.0282368
+0.0266286
+0.0250606
+0.0235918
+0.0221954
+0.020815
+0.0195276
+0.0183767
+0.017337
+0.0163723
+0.0153537
+0.0143273
+0.0134831
+0.012675
+0.0117845
+0.0106403
+0.00938294
+0.00802171
+0.00671598
+0.00530268
+0.00350846
+0.00152232
+-0.000313495
+-0.0019869
+-0.00344319
+-0.00484629
+-0.00618857
+-0.0074488
+-0.0088755
+-0.0104331
+-0.0108027
+-0.00964651
+-0.00852017
+-0.00750599
+-0.00649234
+-0.00570445
+-0.00557602
+-0.00503772
+-0.00403553
+-0.00211958
+-0.000204147
+0.00194197
+0.0040811
+0.00615474
+0.00819831
+0.0103025
+0.0124295
+0.0145625
+0.0167102
+0.0188311
+0.0189489
+0.0170702
+0.0152195
+0.0134706
+0.011835
+0.0103872
+0.0091012
+0.00802798
+0.00740264
+0.007116
+0.00730789
+0.00795883
+0.0089544
+0.0102871
+0.0118355
+0.0135373
+0.0153562
+0.0172616
+0.0353869
+0.0344016
+0.0335156
+0.0327482
+0.0321055
+0.031602
+0.0312084
+0.0309414
+0.0308281
+0.0308703
+0.0310172
+0.0312777
+0.0316879
+0.0322263
+0.0328879
+0.0336529
+0.0345247
+0.0354691
+0.0364969
+0.0376177
+0.0388088
+0.0400428
+0.0412856
+0.0425431
+0.0432321
+0.0414302
+0.0396349
+0.0378735
+0.0361577
+0.0344864
+0.0328763
+0.0312766
+0.0296938
+0.0281261
+0.0266464
+0.0252696
+0.0238926
+0.0225787
+0.021369
+0.0202861
+0.0193076
+0.0183054
+0.0172609
+0.0162787
+0.0154864
+0.0146557
+0.0136664
+0.012427
+0.0111073
+0.00975511
+0.00837914
+0.0063332
+0.00425515
+0.00229807
+0.000536257
+-0.000881593
+-0.00203436
+-0.00334847
+-0.00463973
+-0.00619908
+-0.00788124
+-0.00912985
+-0.0095788
+-0.00833583
+-0.00716094
+-0.0060832
+-0.00491589
+-0.00384806
+-0.00357944
+-0.00402115
+-0.00276396
+-0.00135263
+0.000428076
+0.00227471
+0.00407524
+0.0060316
+0.00810871
+0.0101509
+0.0121722
+0.0142328
+0.0163222
+0.0184208
+0.0195789
+0.0177083
+0.0158946
+0.0141751
+0.0125563
+0.0111191
+0.00978312
+0.00867795
+0.00799198
+0.00767825
+0.00775253
+0.00827998
+0.00922021
+0.0105378
+0.0120037
+0.0136462
+0.0154085
+0.0171914
+0.0363761
+0.0354107
+0.0345405
+0.03379
+0.0331675
+0.0326803
+0.0323345
+0.0320812
+0.0319719
+0.0320125
+0.0322025
+0.0324923
+0.0329141
+0.0334454
+0.0340846
+0.03485
+0.0357119
+0.0366395
+0.0376548
+0.0387483
+0.0399322
+0.0411926
+0.0425056
+0.0438467
+0.0444044
+0.0426267
+0.0408768
+0.0391671
+0.037502
+0.0358934
+0.0343267
+0.0327559
+0.0311981
+0.0297098
+0.028313
+0.0269749
+0.0256332
+0.0243877
+0.0232711
+0.0222339
+0.0212463
+0.0202274
+0.0191676
+0.0182844
+0.0174766
+0.0166338
+0.015462
+0.0141697
+0.0128163
+0.0111658
+0.00913653
+0.00716676
+0.00529108
+0.0034899
+0.00178691
+0.000431676
+-0.00100136
+-0.00202086
+-0.00341871
+-0.00510592
+-0.00645342
+-0.00782361
+-0.0080596
+-0.00687347
+-0.00581997
+-0.00479784
+-0.00371798
+-0.00236559
+-0.00156377
+-0.0021469
+-0.00148714
+-0.000616326
+0.00029902
+0.00197638
+0.00381751
+0.00578604
+0.00773467
+0.00976158
+0.0118364
+0.0139468
+0.0160786
+0.0182244
+0.0202226
+0.0183551
+0.0165554
+0.0148051
+0.0131793
+0.011693
+0.0103685
+0.00927385
+0.00840092
+0.00798758
+0.00807151
+0.00865886
+0.00956201
+0.0107879
+0.0121427
+0.0136436
+0.015265
+0.0169825
+0.0373955
+0.0365021
+0.035657
+0.034929
+0.0343255
+0.0338458
+0.0334813
+0.0332326
+0.0331271
+0.0331663
+0.0333497
+0.0336749
+0.0341203
+0.0346623
+0.035332
+0.0361128
+0.0369621
+0.0378724
+0.038885
+0.0399611
+0.04111
+0.0423413
+0.0436446
+0.0450012
+0.0456326
+0.0438933
+0.0421893
+0.04053
+0.0389232
+0.0373758
+0.0358132
+0.0342747
+0.0327797
+0.0313666
+0.0300355
+0.0286958
+0.0274242
+0.0262539
+0.0251812
+0.0242049
+0.0231868
+0.0221129
+0.0211262
+0.0203284
+0.0195083
+0.0185144
+0.0172375
+0.0158894
+0.0140299
+0.0120596
+0.0101548
+0.00829811
+0.00653679
+0.00485614
+0.00346025
+0.00198387
+0.000482329
+-0.00106653
+-0.00224723
+-0.0037341
+-0.00519214
+-0.00677425
+-0.00651371
+-0.0055816
+-0.00437392
+-0.00320728
+-0.00214362
+-0.0011226
+0.000224128
+-0.000610922
+-0.0011178
+-0.0008029
+0.000517489
+0.00201728
+0.00387406
+0.00587053
+0.00779532
+0.00979903
+0.0118673
+0.013973
+0.0161013
+0.0182445
+0.0203977
+0.0188804
+0.0170864
+0.0153839
+0.0137596
+0.0122856
+0.0110132
+0.00983139
+0.0090161
+0.00863227
+0.00875027
+0.00919302
+0.00991899
+0.0109027
+0.0120875
+0.0134942
+0.0150675
+0.0167484
+0.0385011
+0.0376488
+0.0368532
+0.0361493
+0.0355567
+0.0350762
+0.0347246
+0.0344848
+0.0343832
+0.034421
+0.0345977
+0.0349113
+0.0353522
+0.0359014
+0.0365738
+0.0373523
+0.0382257
+0.0391295
+0.0401326
+0.0412092
+0.0423483
+0.0435642
+0.044835
+0.0461742
+0.0469198
+0.0452219
+0.0435678
+0.041963
+0.0404133
+0.038877
+0.0373549
+0.0358545
+0.0344282
+0.0330795
+0.0317653
+0.030473
+0.0292607
+0.0281609
+0.0271313
+0.0261295
+0.0250822
+0.0240315
+0.0231266
+0.0223204
+0.0214863
+0.0203146
+0.0189077
+0.0169558
+0.0150237
+0.0131253
+0.011332
+0.00946921
+0.00776995
+0.00622037
+0.00447251
+0.00270934
+0.00128268
+0.000170622
+-0.000892645
+-0.00234429
+-0.00387569
+-0.00569509
+-0.00478324
+-0.00373633
+-0.00275821
+-0.00201651
+-0.00104549
+5.77074e-05
+0.00112801
+-6.72264e-05
+-0.000877879
+-0.000178888
+0.000969116
+0.00236354
+0.00422549
+0.00625913
+0.00819947
+0.0102129
+0.0122473
+0.014293
+0.0163643
+0.0184632
+0.0205813
+0.0194965
+0.0177092
+0.0160211
+0.0144685
+0.0129942
+0.0116632
+0.0105791
+0.00978671
+0.00933605
+0.00938767
+0.00970758
+0.0101618
+0.0110322
+0.0121686
+0.0135259
+0.0150562
+0.0167339
+0.039424
+0.0387706
+0.0381054
+0.0374462
+0.0368602
+0.036397
+0.0360443
+0.0358132
+0.0357153
+0.0357516
+0.0359218
+0.0362238
+0.0366476
+0.0371777
+0.0378274
+0.0385908
+0.0394611
+0.040415
+0.0413815
+0.0424306
+0.0435601
+0.0447674
+0.0460322
+0.0473597
+0.0482627
+0.0466136
+0.0450108
+0.0434593
+0.0419458
+0.0404315
+0.038933
+0.0374958
+0.0361328
+0.0348375
+0.0335266
+0.0322848
+0.0311431
+0.0300774
+0.0291025
+0.0280742
+0.0269797
+0.0259929
+0.0251586
+0.0243434
+0.0233515
+0.0218125
+0.0198699
+0.0179495
+0.0160974
+0.0142394
+0.0124205
+0.0106385
+0.00887831
+0.00712495
+0.00556777
+0.00404179
+0.00280896
+0.00121894
+-0.000197692
+-0.00144207
+-0.00325746
+-0.00438557
+-0.00344901
+-0.00219964
+-0.00109081
+-0.000164637
+0.000604184
+0.00146058
+0.00191691
+0.000697598
+0.000174844
+0.00116231
+0.0020922
+0.00341433
+0.00501295
+0.00684167
+0.00873111
+0.0106444
+0.0126481
+0.0147052
+0.0167961
+0.0188834
+0.0209573
+0.0202379
+0.0184613
+0.0167383
+0.0151367
+0.0136727
+0.0123795
+0.011344
+0.0105928
+0.010035
+0.0098973
+0.0101654
+0.0106183
+0.0113984
+0.0124853
+0.0137929
+0.0152963
+0.0169217
+0.0403058
+0.03968
+0.0391571
+0.0387371
+0.0382449
+0.037783
+0.0374347
+0.0372123
+0.0371181
+0.037153
+0.0373168
+0.0376076
+0.0380227
+0.0385363
+0.0391635
+0.0399013
+0.0407436
+0.0416842
+0.0426848
+0.0437027
+0.0448001
+0.0459748
+0.047222
+0.0485218
+0.0496659
+0.048065
+0.0465122
+0.0450125
+0.0435009
+0.0420144
+0.040568
+0.0391908
+0.0378757
+0.0365843
+0.0353217
+0.034141
+0.0330513
+0.0320291
+0.0310175
+0.0299512
+0.0289071
+0.0279883
+0.0271838
+0.0263509
+0.0247368
+0.0228053
+0.0209244
+0.0190461
+0.017095
+0.0151994
+0.0133941
+0.0116067
+0.00985182
+0.00827286
+0.00676917
+0.00528778
+0.00376137
+0.00249398
+0.000725262
+-0.00107223
+-0.00193094
+-0.00245088
+-0.0021918
+-0.00110885
+-0.000461168
+0.000361304
+0.00135722
+0.00244098
+0.00299109
+0.0018957
+0.00176399
+0.00275886
+0.00354586
+0.00469209
+0.00612326
+0.00780751
+0.00962199
+0.0114679
+0.0133631
+0.0153246
+0.017341
+0.0193952
+0.0214764
+0.0208716
+0.0190945
+0.0173908
+0.0157966
+0.0143605
+0.0131247
+0.0120963
+0.0113461
+0.0107869
+0.0105695
+0.0105986
+0.0110161
+0.0118185
+0.0128749
+0.0141548
+0.015588
+0.017159
+0.0412094
+0.0406155
+0.0401144
+0.0397279
+0.0394595
+0.0392341
+0.0388988
+0.0386848
+0.0385942
+0.0386278
+0.0387853
+0.0390653
+0.039465
+0.0399589
+0.0405641
+0.0412769
+0.0420917
+0.0430028
+0.0440035
+0.0450454
+0.0461108
+0.047253
+0.0484673
+0.0497485
+0.0510764
+0.0495707
+0.0480666
+0.0465742
+0.045098
+0.0436439
+0.0422534
+0.0409229
+0.0396483
+0.0383684
+0.0371554
+0.0360348
+0.0349743
+0.0339865
+0.0329402
+0.031856
+0.0308696
+0.030011
+0.0291985
+0.0276763
+0.0257198
+0.023774
+0.0218457
+0.0199203
+0.0180556
+0.0162723
+0.0144676
+0.0127243
+0.0111151
+0.00961674
+0.00804888
+0.00641484
+0.0048743
+0.0027309
+0.000775911
+-0.000206276
+-0.000984941
+-0.000923818
+-0.000772249
+0.000513487
+0.0014134
+0.00202986
+0.0028954
+0.00385818
+0.00450868
+0.00358948
+0.00352464
+0.0042145
+0.00524998
+0.00621378
+0.0074014
+0.00893328
+0.0106253
+0.0124717
+0.0143077
+0.0161597
+0.0180832
+0.0200616
+0.0220801
+0.0215082
+0.0197729
+0.0181235
+0.0165999
+0.0152216
+0.0139346
+0.0128254
+0.0119976
+0.0114749
+0.0111233
+0.0111809
+0.0115983
+0.0122999
+0.0132683
+0.0144406
+0.0157974
+0.0172959
+0.0421307
+0.0415548
+0.0410877
+0.0407333
+0.0404945
+0.0403593
+0.0403107
+0.0402229
+0.0401357
+0.040168
+0.0403195
+0.0405889
+0.0409585
+0.0414335
+0.0420175
+0.042706
+0.043494
+0.0443763
+0.0453474
+0.046397
+0.0474833
+0.0485964
+0.0497779
+0.0510262
+0.0523263
+0.051126
+0.0496506
+0.0481792
+0.0467227
+0.0453208
+0.0439772
+0.0426951
+0.0414215
+0.0401825
+0.0390259
+0.0379438
+0.0369103
+0.0359084
+0.0348284
+0.0337893
+0.032861
+0.0320558
+0.0304348
+0.0284742
+0.0265494
+0.0246691
+0.0228166
+0.0209806
+0.0191632
+0.0173964
+0.0156783
+0.0140658
+0.0125738
+0.0109212
+0.00929161
+0.0075995
+0.00564386
+0.00384351
+0.00252155
+0.00138542
+0.000428024
+0.000765236
+0.000792859
+0.00146338
+0.00321013
+0.00371689
+0.00431798
+0.00525617
+0.00517948
+0.0053769
+0.00520194
+0.00544147
+0.00610638
+0.00714531
+0.00845253
+0.00988616
+0.0114368
+0.0130722
+0.014779
+0.016577
+0.0184571
+0.0203992
+0.0223873
+0.022297
+0.0205878
+0.0189607
+0.0174023
+0.0159826
+0.0147349
+0.0136907
+0.0128349
+0.0120429
+0.011613
+0.0115883
+0.0119412
+0.0126237
+0.0135884
+0.0147274
+0.0160724
+0.0175485
+0.0431436
+0.0425814
+0.0421258
+0.0417802
+0.0415473
+0.0414292
+0.041405
+0.0414959
+0.0417019
+0.041766
+0.0419118
+0.0421626
+0.0425114
+0.0429692
+0.0435326
+0.0441975
+0.0449594
+0.0458135
+0.0467547
+0.0477779
+0.0488464
+0.0499721
+0.0511488
+0.0523645
+0.0536366
+0.0527248
+0.0512528
+0.0498039
+0.0483921
+0.0470372
+0.045736
+0.0444764
+0.0432196
+0.0420324
+0.0409282
+0.0398387
+0.0388238
+0.0378127
+0.0367382
+0.0357523
+0.0348763
+0.0332317
+0.0312928
+0.0293895
+0.0275288
+0.0257147
+0.0238516
+0.0220251
+0.020271
+0.0185972
+0.0170253
+0.0153654
+0.0136857
+0.0119721
+0.0101414
+0.00819924
+0.00641774
+0.00487849
+0.00372651
+0.00303272
+0.00257565
+0.00284206
+0.00292692
+0.00333166
+0.00455581
+0.005322
+0.00591793
+0.00547441
+0.00468608
+0.00439611
+0.00467407
+0.00515744
+0.00605278
+0.00728858
+0.00871209
+0.0103207
+0.0119688
+0.0136761
+0.0154261
+0.0171785
+0.019022
+0.020916
+0.0228591
+0.0228676
+0.0211449
+0.0195163
+0.0179898
+0.016593
+0.0153653
+0.0143518
+0.0134376
+0.0126833
+0.0122758
+0.0122525
+0.01259
+0.0132391
+0.0141999
+0.0152024
+0.0163369
+0.0176328
+0.0442353
+0.0436871
+0.0432431
+0.0429065
+0.0426798
+0.0425544
+0.0425302
+0.0426187
+0.0428193
+0.0431303
+0.0435393
+0.0437824
+0.0441184
+0.0445598
+0.0451033
+0.0457454
+0.0464819
+0.0473085
+0.0482206
+0.0492105
+0.0502634
+0.0513655
+0.0525258
+0.0537449
+0.0549994
+0.0543293
+0.0528871
+0.0514666
+0.0501014
+0.0487841
+0.0475307
+0.0462649
+0.0450514
+0.0439138
+0.0427911
+0.041733
+0.0407651
+0.0397096
+0.0386756
+0.0377404
+0.0360777
+0.03416
+0.032277
+0.0304352
+0.0285955
+0.0267501
+0.0249435
+0.0231963
+0.0215145
+0.0199319
+0.018246
+0.0165687
+0.0148012
+0.0128869
+0.0109934
+0.00919677
+0.00758074
+0.00625512
+0.00520126
+0.00431757
+0.00389272
+0.00424511
+0.0047322
+0.00526746
+0.00631974
+0.00695242
+0.00635811
+0.00507547
+0.00432866
+0.00385699
+0.0042593
+0.00519532
+0.00631026
+0.00770328
+0.00923019
+0.0107763
+0.0125144
+0.0143554
+0.0161444
+0.0179434
+0.0197511
+0.0213418
+0.022675
+0.0234283
+0.0217453
+0.02016
+0.0186867
+0.0173433
+0.0161712
+0.0150653
+0.0141885
+0.0135794
+0.0132428
+0.0132212
+0.0135582
+0.013999
+0.0146633
+0.0155465
+0.0166576
+0.0179266
+0.0453925
+0.0448585
+0.0444262
+0.0440986
+0.0438781
+0.0437598
+0.0437363
+0.0438223
+0.0440174
+0.04432
+0.044728
+0.0452385
+0.0457739
+0.0461994
+0.0467239
+0.047344
+0.048056
+0.048856
+0.0497397
+0.0506949
+0.0517176
+0.052807
+0.0539446
+0.0551328
+0.0563801
+0.0559691
+0.0545438
+0.0531676
+0.0518381
+0.0505655
+0.0493166
+0.0480805
+0.046914
+0.0457627
+0.0446676
+0.0436549
+0.0426912
+0.0416243
+0.0406388
+0.0389623
+0.0370643
+0.0352003
+0.03337
+0.0315154
+0.029689
+0.0278973
+0.0261511
+0.0244763
+0.0228733
+0.0211186
+0.0194389
+0.0176892
+0.0157637
+0.0139051
+0.0121261
+0.0105039
+0.00908838
+0.0079104
+0.0068946
+0.00598432
+0.0056275
+0.00592654
+0.00658224
+0.00703948
+0.00799733
+0.00764072
+0.00602041
+0.00474368
+0.00403789
+0.00381451
+0.00433598
+0.00540994
+0.00665114
+0.00810284
+0.00971539
+0.0115195
+0.0132293
+0.0149799
+0.0162898
+0.017194
+0.018317
+0.0196133
+0.0210562
+0.0226196
+0.0225291
+0.0209801
+0.0194905
+0.0181217
+0.01688
+0.0158014
+0.0149677
+0.0143785
+0.014055
+0.0140202
+0.0141782
+0.0146314
+0.0152999
+0.0161596
+0.017204
+0.0184326
+0.046624
+0.0461043
+0.0456838
+0.0453653
+0.045151
+0.0450396
+0.0450167
+0.0451003
+0.0452899
+0.045584
+0.0459808
+0.0464776
+0.0470711
+0.0477579
+0.0483894
+0.0489884
+0.0496769
+0.0504512
+0.0513074
+0.052229
+0.0532223
+0.0542858
+0.0554012
+0.0565626
+0.0577789
+0.0576232
+0.056237
+0.0548971
+0.0536076
+0.0523704
+0.0511147
+0.0499042
+0.0487501
+0.0476229
+0.0465714
+0.0455968
+0.0445932
+0.0435647
+0.0418773
+0.0399977
+0.0381505
+0.0363025
+0.0344664
+0.0326547
+0.0308686
+0.0291357
+0.0274681
+0.0257015
+0.0239465
+0.0222534
+0.0204289
+0.0185189
+0.016678
+0.0149128
+0.0132696
+0.0118056
+0.0105784
+0.00966862
+0.0086265
+0.0078654
+0.00759496
+0.0078302
+0.00849869
+0.00897287
+0.00798732
+0.00679625
+0.00530841
+0.00402989
+0.00344967
+0.00350209
+0.00422301
+0.00528048
+0.00649446
+0.00796006
+0.00969118
+0.0114198
+0.0130393
+0.0135453
+0.0142984
+0.0153206
+0.0165653
+0.0179859
+0.0195493
+0.021224
+0.0229856
+0.0217648
+0.0203234
+0.0189846
+0.0177852
+0.0167599
+0.0159186
+0.0153172
+0.0149815
+0.014777
+0.0148935
+0.0153255
+0.0160476
+0.0169421
+0.0179131
+0.0190675
+0.0479241
+0.0474186
+0.0470099
+0.0467004
+0.0464922
+0.0463851
+0.0463628
+0.046444
+0.0466281
+0.0469139
+0.0472995
+0.0477826
+0.0483601
+0.0490289
+0.0497851
+0.0506248
+0.0513401
+0.0520897
+0.0529171
+0.0538086
+0.0547732
+0.0558072
+0.0568929
+0.0580366
+0.0592258
+0.0593095
+0.0579602
+0.0566557
+0.0552788
+0.0538116
+0.0523949
+0.0510329
+0.0497302
+0.0484915
+0.0473219
+0.0462265
+0.0452108
+0.0442775
+0.0429543
+0.0411152
+0.0392604
+0.0374378
+0.0356268
+0.0338607
+0.0321417
+0.0303509
+0.0285797
+0.0268318
+0.0251346
+0.023213
+0.0213273
+0.0194941
+0.0177346
+0.0160813
+0.0145705
+0.0132397
+0.0121477
+0.011293
+0.0104671
+0.00987498
+0.00965166
+0.00985387
+0.0090265
+0.0077069
+0.00665889
+0.00564631
+0.00440242
+0.00326332
+0.0027263
+0.00310175
+0.00377106
+0.00477367
+0.00596152
+0.0073102
+0.00892244
+0.0105016
+0.0109467
+0.0115086
+0.0123745
+0.01354
+0.0149271
+0.0164894
+0.018182
+0.0199716
+0.0218345
+0.022691
+0.0212714
+0.0199487
+0.0187889
+0.0177928
+0.0170022
+0.016438
+0.015953
+0.0157593
+0.0158686
+0.0162748
+0.0169565
+0.0178601
+0.0187837
+0.0198775
+0.0492873
+0.0487959
+0.0483988
+0.0480983
+0.0478962
+0.0477922
+0.0477706
+0.0478494
+0.0480281
+0.0483056
+0.0486802
+0.0491497
+0.0497114
+0.0503622
+0.0510986
+0.0519172
+0.0528139
+0.0537655
+0.0545648
+0.0554298
+0.0563666
+0.0573719
+0.0584286
+0.0595429
+0.0607156
+0.0596413
+0.0580365
+0.056471
+0.0549483
+0.053472
+0.0520461
+0.0506748
+0.0493626
+0.0481145
+0.0469354
+0.0458308
+0.0448062
+0.0438642
+0.042995
+0.0422217
+0.0404145
+0.0386188
+0.0368658
+0.0350618
+0.0332717
+0.0314997
+0.0297536
+0.0279773
+0.0260681
+0.0242
+0.0223817
+0.0206358
+0.0189824
+0.0174477
+0.0160584
+0.0148509
+0.0138727
+0.0129733
+0.0122169
+0.0117764
+0.0112139
+0.00953614
+0.00804045
+0.00674665
+0.00566119
+0.00466763
+0.00333226
+0.00233604
+0.0020019
+0.00244152
+0.00304934
+0.00376806
+0.00486883
+0.0062433
+0.0077912
+0.00837543
+0.00887255
+0.00952529
+0.0105551
+0.0118886
+0.0134471
+0.0151627
+0.016988
+0.0188911
+0.0208507
+0.0226989
+0.0223026
+0.0210529
+0.0199574
+0.0190223
+0.0182135
+0.0175434
+0.0170889
+0.0169083
+0.0170102
+0.0173897
+0.0179271
+0.0185566
+0.0193886
+0.0204017
+0.0507085
+0.050231
+0.0498454
+0.0495536
+0.0493575
+0.0492566
+0.0492356
+0.0493121
+0.0494855
+0.0497549
+0.0501187
+0.0505748
+0.0511208
+0.0517539
+0.0524708
+0.0532683
+0.0541427
+0.0550903
+0.0561076
+0.057089
+0.057999
+0.0589765
+0.0600051
+0.0610906
+0.0609025
+0.059416
+0.0578049
+0.056233
+0.0547037
+0.0532206
+0.0517878
+0.0504094
+0.0490902
+0.0478349
+0.0466488
+0.0455372
+0.0445058
+0.0435574
+0.0426819
+0.0419028
+0.0412255
+0.0398179
+0.0379993
+0.036222
+0.0344499
+0.0327078
+0.0308582
+0.0289699
+0.0271174
+0.025319
+0.0235871
+0.0219374
+0.0203897
+0.0189644
+0.0176842
+0.0165955
+0.0156621
+0.0147356
+0.0140646
+0.0125877
+0.0107276
+0.00898057
+0.00741768
+0.00612852
+0.0051454
+0.00365555
+0.0022113
+0.00109812
+0.00108807
+0.00151829
+0.001929
+0.00275818
+0.0038853
+0.00505556
+0.00598886
+0.00629372
+0.00687114
+0.00765588
+0.00889128
+0.0104376
+0.0121832
+0.014054
+0.0160062
+0.0179703
+0.0198122
+0.0217189
+0.0234608
+0.0223118
+0.0212878
+0.0203073
+0.0194598
+0.0187975
+0.0183741
+0.0182062
+0.0181931
+0.0183471
+0.018715
+0.0193188
+0.0201223
+0.0211002
+0.052183
+0.0517192
+0.0513447
+0.0510615
+0.0508712
+0.0507732
+0.0507529
+0.0508271
+0.0509954
+0.0512568
+0.05161
+0.0520531
+0.0525837
+0.0531994
+0.0538971
+0.0546738
+0.055526
+0.0564505
+0.0574437
+0.0585021
+0.0596222
+0.0606178
+0.0616191
+0.0622556
+0.0608067
+0.0592709
+0.0576557
+0.0560796
+0.054546
+0.0530585
+0.0516212
+0.0502382
+0.0489144
+0.0476545
+0.0464638
+0.0453477
+0.0443118
+0.0433592
+0.0424796
+0.0416967
+0.0410161
+0.0404427
+0.0391893
+0.0374181
+0.0356777
+0.0337765
+0.0319024
+0.030071
+0.0282907
+0.0265719
+0.0249271
+0.0233722
+0.0219231
+0.0205939
+0.0194214
+0.0184232
+0.0174295
+0.0159054
+0.0139744
+0.0121166
+0.0103893
+0.00869934
+0.00710723
+0.00567273
+0.00392309
+0.00238324
+0.00101744
+3.32174e-05
+0.000110709
+0.000253086
+0.000556338
+0.00183331
+0.00271379
+0.0035904
+0.00385949
+0.00428253
+0.00500103
+0.00599736
+0.00750055
+0.00928151
+0.0112086
+0.0132181
+0.0151329
+0.0169999
+0.0189364
+0.0209231
+0.0229469
+0.0236675
+0.0225964
+0.0216328
+0.0208293
+0.0200868
+0.0195024
+0.0191514
+0.0190474
+0.0191946
+0.0195689
+0.0201164
+0.0208658
+0.0218104
+0.0537064
+0.0532558
+0.0528922
+0.0526174
+0.0524327
+0.0523377
+0.052318
+0.05239
+0.0525532
+0.052807
+0.0531498
+0.0535802
+0.0540959
+0.0546945
+0.0553734
+0.0561296
+0.0569601
+0.0578617
+0.058831
+0.0598649
+0.06096
+0.062113
+0.0632678
+0.062239
+0.0607897
+0.0592065
+0.0575895
+0.0560116
+0.054476
+0.0529866
+0.0515472
+0.0501623
+0.0488363
+0.0475744
+0.0463816
+0.0452635
+0.0442257
+0.0432711
+0.0423897
+0.0416052
+0.0409229
+0.0403483
+0.0398858
+0.0386055
+0.0367173
+0.0348635
+0.033051
+0.031287
+0.02958
+0.0279405
+0.0263813
+0.0249158
+0.0235383
+0.0222496
+0.0210958
+0.0192595
+0.0172463
+0.0152432
+0.0132516
+0.0113141
+0.00944121
+0.00773698
+0.00604517
+0.00444788
+0.00286339
+0.000883047
+-0.000580824
+-0.0011295
+-0.00122241
+-0.00105575
+-0.000921703
+0.000850647
+0.00155305
+0.00159217
+0.00178555
+0.00236288
+0.00347365
+0.00477178
+0.006562
+0.00854097
+0.0106035
+0.0124208
+0.0143063
+0.0162684
+0.0182825
+0.0203332
+0.0224104
+0.0245073
+0.0237825
+0.0227046
+0.0217742
+0.0210084
+0.0204496
+0.0201151
+0.0200162
+0.0201347
+0.0204598
+0.0209695
+0.0216894
+0.022594
+0.0552747
+0.054837
+0.0544839
+0.0542171
+0.0540379
+0.0539457
+0.0539266
+0.0539965
+0.0541549
+0.0544011
+0.054734
+0.055152
+0.0556531
+0.0562352
+0.0568957
+0.057632
+0.0584411
+0.0593202
+0.0602661
+0.0612757
+0.062346
+0.0634739
+0.0637852
+0.0622953
+0.0608478
+0.0592231
+0.0576066
+0.0560291
+0.0544941
+0.0530051
+0.0515663
+0.0501819
+0.0488565
+0.0475951
+0.0464028
+0.0452852
+0.0442479
+0.0432938
+0.0424129
+0.0416288
+0.040947
+0.0403727
+0.0399105
+0.0395644
+0.0378466
+0.036051
+0.0343013
+0.0326003
+0.0309359
+0.0293407
+0.0278266
+0.0264076
+0.0250803
+0.0231047
+0.0210033
+0.0189221
+0.0168686
+0.0148481
+0.0128288
+0.0108363
+0.00891237
+0.00710593
+0.00545333
+0.00379235
+0.00220401
+0.000400275
+-0.00138375
+-0.00184825
+-0.00241129
+-0.00234038
+-0.00205059
+-0.000353342
+0.000443567
+-0.000465978
+-0.000121
+0.0007702
+0.00223286
+0.0041002
+0.00604951
+0.00805005
+0.00993701
+0.0118127
+0.0137816
+0.015809
+0.017875
+0.0199491
+0.0220368
+0.0241428
+0.0247403
+0.0236845
+0.0227769
+0.0220459
+0.0215141
+0.0211964
+0.0210819
+0.0211712
+0.021483
+0.0219689
+0.0226571
+0.0235223
+0.0568841
+0.0564589
+0.056116
+0.055857
+0.0556831
+0.0555936
+0.0555751
+0.0556428
+0.0557966
+0.0560356
+0.0563589
+0.0567649
+0.0572519
+0.0578179
+0.0584605
+0.0591773
+0.0599656
+0.0608226
+0.0617455
+0.0627314
+0.0637772
+0.0648803
+0.0639049
+0.0624178
+0.0609704
+0.0593207
+0.0577069
+0.0561322
+0.0546001
+0.0531141
+0.0516783
+0.0502953
+0.0489706
+0.0477098
+0.046518
+0.0454007
+0.0443635
+0.0434082
+0.0425296
+0.0417477
+0.0410678
+0.0404952
+0.0400345
+0.0396894
+0.0390254
+0.0372643
+0.0355483
+0.033887
+0.032289
+0.030764
+0.0293235
+0.0272895
+0.0251561
+0.0230335
+0.0209249
+0.0188351
+0.016771
+0.0147371
+0.012734
+0.010767
+0.00880595
+0.00697248
+0.00537792
+0.00389982
+0.00215328
+0.000331314
+-0.00149415
+-0.00195057
+-0.00203045
+-0.00213671
+-0.00221426
+-0.00106924
+-0.000177569
+-0.00143922
+-0.00152052
+-0.000219303
+0.00124638
+0.00323483
+0.00533409
+0.00745099
+0.00937907
+0.011401
+0.0134517
+0.0155373
+0.0176367
+0.0197259
+0.021835
+0.0239543
+0.0257778
+0.0247662
+0.0239131
+0.0232286
+0.0227245
+0.0224206
+0.0222903
+0.0223747
+0.0226695
+0.0231305
+0.0237852
+0.0246112
+0.0585312
+0.0581181
+0.0577851
+0.0575336
+0.0573647
+0.0572779
+0.0572599
+0.0573257
+0.0574749
+0.057707
+0.058021
+0.0584154
+0.0588888
+0.0594392
+0.0600644
+0.0607623
+0.0615303
+0.0623658
+0.0632662
+0.0642287
+0.0652506
+0.0656213
+0.0640992
+0.0626167
+0.0611329
+0.0594879
+0.0578791
+0.0563096
+0.0547815
+0.0532984
+0.0518654
+0.0504869
+0.0491674
+0.0479117
+0.0467251
+0.0456128
+0.0445806
+0.04363
+0.042756
+0.0419783
+0.0413022
+0.0407329
+0.0402749
+0.0399319
+0.0397071
+0.0385199
+0.0368623
+0.035263
+0.0337302
+0.0316675
+0.0295249
+0.0273898
+0.0252643
+0.0231509
+0.0210533
+0.0189768
+0.0169291
+0.0149221
+0.0129737
+0.0110373
+0.00910927
+0.00731058
+0.0057008
+0.00437893
+0.00305268
+0.00131477
+0.000197457
+0.000236274
+0.000156999
+3.23172e-05
+-3.49066e-05
+0.000455777
+0.000452992
+-7.47267e-05
+-0.000358943
+-0.000244465
+0.00118445
+0.00323748
+0.00517668
+0.00714059
+0.00913441
+0.0111915
+0.0132711
+0.0153813
+0.0175112
+0.0196476
+0.0217583
+0.0238835
+0.0260154
+0.025988
+0.0251763
+0.024525
+0.024048
+0.0237554
+0.0236324
+0.0237121
+0.0239923
+0.024429
+0.0250497
+0.0258403
+0.0602079
+0.0598063
+0.0594827
+0.0592385
+0.0590745
+0.0589915
+0.058978
+0.0590418
+0.0591868
+0.0594122
+0.0597171
+0.0601005
+0.0605606
+0.061096
+0.0617045
+0.062384
+0.0631323
+0.0639469
+0.0648253
+0.065765
+0.0667634
+0.0658834
+0.0643675
+0.0628913
+0.0613688
+0.0597304
+0.0581283
+0.0565657
+0.0550447
+0.0535689
+0.0521434
+0.0507724
+0.0494605
+0.0482124
+0.0470334
+0.0459286
+0.0449036
+0.04396
+0.0430927
+0.0423212
+0.0416507
+0.0410862
+0.0406322
+0.0402922
+0.0400694
+0.0398563
+0.0382567
+0.0361734
+0.0340324
+0.0318981
+0.029772
+0.0276561
+0.0255527
+0.0234653
+0.0213986
+0.0193592
+0.0173566
+0.0154054
+0.0134204
+0.0114745
+0.00962867
+0.00791731
+0.00641709
+0.00523517
+0.00413886
+0.00292059
+0.00235409
+0.00242442
+0.00234366
+0.00220091
+0.00213892
+0.00230902
+0.00235213
+0.00198897
+0.00181468
+0.00181839
+0.0024661
+0.00391316
+0.00557826
+0.00746443
+0.00939204
+0.0114028
+0.0134498
+0.0155356
+0.017647
+0.0197687
+0.0218677
+0.0239832
+0.0261069
+0.0273309
+0.0265601
+0.0259359
+0.0254854
+0.0252029
+0.025087
+0.025162
+0.0254263
+0.0258482
+0.0264356
+0.0271873
+0.0619118
+0.0615213
+0.0612068
+0.0609695
+0.0608101
+0.0607295
+0.0607265
+0.0607885
+0.0609293
+0.0611482
+0.0614446
+0.0618172
+0.0622647
+0.0627855
+0.0633778
+0.0640396
+0.0647687
+0.065563
+0.06642
+0.0673375
+0.0677624
+0.066217
+0.0647089
+0.0632407
+0.0616817
+0.0600518
+0.0584585
+0.056905
+0.0553933
+0.0539271
+0.0525113
+0.0511502
+0.0498482
+0.0486101
+0.0474409
+0.0463459
+0.0453303
+0.0443958
+0.0435372
+0.0427737
+0.0421104
+0.0415522
+0.0411032
+0.0407673
+0.040547
+0.0404444
+0.038625
+0.0364997
+0.0343826
+0.0322753
+0.0301767
+0.0280912
+0.026023
+0.0239766
+0.021958
+0.0199758
+0.0179679
+0.0159913
+0.0140599
+0.0122164
+0.0104989
+0.00893947
+0.00760547
+0.00660148
+0.00569425
+0.00489311
+0.00452674
+0.00461329
+0.00451868
+0.00437497
+0.0043131
+0.00440432
+0.00448635
+0.00413851
+0.00399364
+0.00397229
+0.00435573
+0.00527473
+0.00667078
+0.00828761
+0.0100566
+0.0119533
+0.0139341
+0.0159651
+0.0180232
+0.0201093
+0.0221939
+0.0242809
+0.0263807
+0.0284903
+0.0280399
+0.0274494
+0.0270241
+0.0267516
+0.0266425
+0.0267132
+0.0269622
+0.0273693
+0.0279247
+0.0286374
+0.0636454
+0.0632657
+0.0629599
+0.0627292
+0.0625743
+0.062496
+0.0624943
+0.0625631
+0.0626999
+0.0629127
+0.0632008
+0.0635631
+0.0639984
+0.0645052
+0.0650818
+0.0657265
+0.0664371
+0.0672117
+0.0680479
+0.0689437
+0.0681572
+0.066621
+0.0651222
+0.0636636
+0.0620704
+0.060451
+0.0588685
+0.0573261
+0.0558258
+0.0543712
+0.0529673
+0.0516182
+0.0503284
+0.0491024
+0.0479452
+0.0468619
+0.0458578
+0.0449343
+0.0440861
+0.0433323
+0.0426777
+0.042127
+0.0416843
+0.041353
+0.0411359
+0.0410348
+0.0390531
+0.0369524
+0.0348628
+0.0327864
+0.0307259
+0.0286846
+0.0266655
+0.0246479
+0.0226194
+0.0206242
+0.0186728
+0.0167794
+0.0149502
+0.0132313
+0.011657
+0.0102405
+0.00911154
+0.00825624
+0.00751954
+0.00698647
+0.00670948
+0.00680219
+0.00667588
+0.00655012
+0.00648857
+0.00655071
+0.00665229
+0.00629697
+0.00617431
+0.00613669
+0.00640968
+0.00706612
+0.00816342
+0.0095287
+0.0111016
+0.0128449
+0.0147062
+0.0166432
+0.0186265
+0.0206518
+0.0226961
+0.0247492
+0.026824
+0.0289079
+0.0296079
+0.0290494
+0.0286478
+0.0283851
+0.0282822
+0.0283488
+0.0285836
+0.0289763
+0.0295015
+0.030177
+0.0654065
+0.065037
+0.0647396
+0.0645153
+0.0643647
+0.0642885
+0.064287
+0.06436
+0.0644963
+0.0647032
+0.0649834
+0.0653358
+0.0657594
+0.0662527
+0.0668143
+0.0674423
+0.0681351
+0.0688905
+0.0697067
+0.0701806
+0.0686197
+0.0670941
+0.0656062
+0.0641586
+0.0625335
+0.0609264
+0.0593566
+0.0578272
+0.0563402
+0.0548993
+0.0535092
+0.0521741
+0.0508984
+0.0496865
+0.0485432
+0.0474736
+0.0464827
+0.0455718
+0.0447358
+0.0439931
+0.0433484
+0.0428064
+0.0423707
+0.0420449
+0.0418314
+0.0416804
+0.0395979
+0.0375277
+0.035472
+0.0334238
+0.0313829
+0.0293636
+0.0273573
+0.0253563
+0.0233894
+0.0214641
+0.0195824
+0.0177717
+0.0160559
+0.0144551
+0.0130173
+0.0117647
+0.0107942
+0.0100896
+0.0094693
+0.0091229
+0.00889614
+0.00899111
+0.00884879
+0.00872686
+0.00866624
+0.00871917
+0.00883005
+0.0084709
+0.00835968
+0.00831116
+0.00852459
+0.00903212
+0.00991724
+0.0110683
+0.0124481
+0.0140251
+0.0157474
+0.01757
+0.0194591
+0.0214057
+0.0233843
+0.0253817
+0.0274087
+0.0294592
+0.03125
+0.0307213
+0.0303418
+0.0300894
+0.0299924
+0.0300552
+0.0302768
+0.0306489
+0.0311459
+0.0317864
+0.0671929
+0.0668333
+0.0665439
+0.0663257
+0.0661792
+0.0661051
+0.0661036
+0.0661746
+0.0663137
+0.066515
+0.0667875
+0.0671305
+0.0675428
+0.0680232
+0.0685702
+0.0691824
+0.0698579
+0.0705949
+0.0713916
+0.0706978
+0.0691486
+0.0676349
+0.0661592
+0.0646974
+0.0630693
+0.0614762
+0.0599208
+0.0584062
+0.0569344
+0.0555088
+0.0541344
+0.0528151
+0.0515552
+0.0503591
+0.0492315
+0.0481772
+0.047201
+0.0463043
+0.0454817
+0.0447514
+0.0441179
+0.0435853
+0.0431576
+0.0428377
+0.0426282
+0.0422972
+0.0402293
+0.0381752
+0.036137
+0.0341178
+0.0321211
+0.0301396
+0.0281682
+0.0262267
+0.0243189
+0.0224627
+0.0206721
+0.0189646
+0.0173518
+0.0158781
+0.0145775
+0.0134686
+0.012596
+0.0120148
+0.0114972
+0.0112777
+0.0110844
+0.0111804
+0.0110276
+0.0109087
+0.010849
+0.0108965
+0.0110129
+0.0106517
+0.0105468
+0.0104922
+0.0106464
+0.0110615
+0.0117815
+0.0127843
+0.013996
+0.0154252
+0.0170085
+0.0187087
+0.0204931
+0.0223498
+0.0242515
+0.0261828
+0.0281522
+0.0301521
+0.0321769
+0.0324349
+0.0320758
+0.0318495
+0.0317579
+0.0318172
+0.0320266
+0.032367
+0.032838
+0.0334462
+0.0690026
+0.0686524
+0.0683708
+0.0681584
+0.0680159
+0.0679438
+0.0679423
+0.0680114
+0.0681479
+0.0683437
+0.068609
+0.0689429
+0.0693444
+0.0698124
+0.0703456
+0.0709424
+0.0716013
+0.0723205
+0.0728484
+0.0712786
+0.0697423
+0.0682418
+0.0667794
+0.065289
+0.063676
+0.0620984
+0.060559
+0.0590608
+0.0576057
+0.0561972
+0.0548401
+0.0535382
+0.0522957
+0.0511169
+0.0500064
+0.0489687
+0.0480087
+0.0471187
+0.0463104
+0.0455932
+0.0449713
+0.0444488
+0.0440293
+0.0437156
+0.0435101
+0.0429596
+0.0409252
+0.0389078
+0.0369054
+0.0349202
+0.0329611
+0.0310317
+0.029109
+0.0272269
+0.0253943
+0.0236228
+0.0219223
+0.0203081
+0.0188109
+0.0174608
+0.0162553
+0.0152687
+0.0145039
+0.0139841
+0.0135678
+0.0133974
+0.0132734
+0.0133139
+0.0131945
+0.0130935
+0.0130344
+0.0130783
+0.0131575
+0.0128358
+0.0127341
+0.0126765
+0.0127915
+0.0131409
+0.0137411
+0.0146125
+0.0156972
+0.0169839
+0.0184417
+0.020023
+0.0216996
+0.023461
+0.0252792
+0.0271376
+0.0290422
+0.0309848
+0.0329584
+0.0342017
+0.0338613
+0.0336471
+0.0335604
+0.0336166
+0.0338148
+0.0341393
+0.0345861
+0.0351641
+0.0708338
+0.0704927
+0.0702184
+0.0700116
+0.0698729
+0.0698028
+0.0698013
+0.0698686
+0.0700025
+0.0701932
+0.0704515
+0.0707767
+0.0711679
+0.071624
+0.0721437
+0.0727258
+0.0733687
+0.0740708
+0.0734775
+0.0719215
+0.0703992
+0.068913
+0.0674652
+0.065948
+0.0643516
+0.062791
+0.061269
+0.0597886
+0.0583516
+0.0569616
+0.0556231
+0.05434
+0.0531162
+0.0519561
+0.0508639
+0.049844
+0.0488872
+0.0480088
+0.0472158
+0.0465125
+0.0459031
+0.0453913
+0.0449805
+0.0446735
+0.0444724
+0.0437219
+0.041716
+0.0397296
+0.0377658
+0.0358283
+0.0339217
+0.0320317
+0.0301728
+0.0283614
+0.0266071
+0.0249142
+0.0233013
+0.0217895
+0.0204013
+0.019138
+0.0180434
+0.0171599
+0.016473
+0.0160073
+0.0156602
+0.0155255
+0.015463
+0.0154524
+0.0153492
+0.0152752
+0.0152213
+0.0152627
+0.0153081
+0.0150219
+0.0149219
+0.0148627
+0.0149409
+0.0152413
+0.0157594
+0.0165248
+0.0175077
+0.0186699
+0.0200053
+0.0214799
+0.0230516
+0.0247169
+0.0264489
+0.0282303
+0.0300659
+0.0319462
+0.0338639
+0.0358129
+0.0356921
+0.035489
+0.0354068
+0.03546
+0.035648
+0.0359577
+0.0363822
+0.0369321
+0.0726849
+0.0723526
+0.0720853
+0.0718839
+0.0717488
+0.0716805
+0.0716791
+0.0717446
+0.071876
+0.0720618
+0.0723135
+0.0726303
+0.0730116
+0.0734562
+0.0739631
+0.074531
+0.0751584
+0.0757393
+0.074166
+0.0726248
+0.0711176
+0.0696467
+0.0682145
+0.0666726
+0.0650939
+0.0635516
+0.0620483
+0.0605868
+0.0591693
+0.0577989
+0.0564803
+0.0552171
+0.0540132
+0.0528728
+0.0517993
+0.0507833
+0.0498421
+0.0489808
+0.0482037
+0.0475151
+0.0469187
+0.0464181
+0.0460165
+0.0457165
+0.04552
+0.0445584
+0.0425919
+0.0406483
+0.0387311
+0.0368445
+0.0349845
+0.0331465
+0.0313538
+0.0296142
+0.0279292
+0.0263188
+0.0247974
+0.0233825
+0.0220792
+0.0209091
+0.0199121
+0.019103
+0.01848
+0.0180648
+0.0177764
+0.0176658
+0.0176528
+0.0176038
+0.0175129
+0.0174469
+0.0174092
+0.0174486
+0.0174614
+0.0172091
+0.0171104
+0.0170395
+0.0170987
+0.0173619
+0.0178083
+0.0184891
+0.0193947
+0.0204519
+0.0216778
+0.0230471
+0.0245251
+0.0260965
+0.0277425
+0.0294458
+0.0312099
+0.0330252
+0.0348836
+0.0367786
+0.0375614
+0.0373685
+0.0372905
+0.037341
+0.0375196
+0.0378145
+0.0382195
+0.0387424
+0.0745543
+0.0742304
+0.07397
+0.0737737
+0.0736421
+0.0735755
+0.0735741
+0.0736379
+0.0737666
+0.0739481
+0.0741933
+0.0745022
+0.0748739
+0.0753076
+0.0758021
+0.0763563
+0.0769688
+0.0764702
+0.0749123
+0.0733867
+0.0718955
+0.0704409
+0.0690251
+0.0674606
+0.0659008
+0.0643778
+0.0628942
+0.0614529
+0.0600558
+0.0587061
+0.0574083
+0.056166
+0.0549829
+0.0538611
+0.0527932
+0.0517959
+0.0508734
+0.0500298
+0.0492694
+0.0485958
+0.0480128
+0.0475238
+0.0471316
+0.0468387
+0.0466469
+0.0454851
+0.0435605
+0.0416621
+0.0397938
+0.0379599
+0.0361404
+0.0343638
+0.032636
+0.0309607
+0.029353
+0.0278251
+0.0263907
+0.0250582
+0.023833
+0.0227533
+0.0218407
+0.0210873
+0.0205246
+0.0201504
+0.0199086
+0.0198118
+0.0198428
+0.0197637
+0.0196825
+0.0196228
+0.0195924
+0.0196356
+0.0196213
+0.0193971
+0.0192994
+0.0192076
+0.0192639
+0.0194981
+0.0198866
+0.0204985
+0.0213189
+0.0223067
+0.0234358
+0.0247079
+0.0260993
+0.0275813
+0.029142
+0.0307694
+0.0324617
+0.0342106
+0.0360079
+0.0378466
+0.0394637
+0.0392803
+0.039206
+0.0392541
+0.039424
+0.0397048
+0.0400898
+0.0405666
+0.0764409
+0.076125
+0.0758711
+0.0756797
+0.0755515
+0.0754865
+0.0754852
+0.0755474
+0.075673
+0.0758508
+0.0760899
+0.0763911
+0.0767537
+0.0771767
+0.0776593
+0.0782004
+0.0787986
+0.0772564
+0.0757147
+0.0742056
+0.0727311
+0.0712936
+0.0698784
+0.0683036
+0.0667635
+0.0652606
+0.0637975
+0.0623771
+0.0610023
+0.0596763
+0.0584023
+0.0571831
+0.0560179
+0.0549044
+0.0538571
+0.0528798
+0.0519766
+0.0511513
+0.0504077
+0.0497496
+0.0491803
+0.048703
+0.0483203
+0.0480347
+0.0478477
+0.0464966
+0.0446156
+0.0427641
+0.0409461
+0.0391444
+0.0373818
+0.0356668
+0.0340041
+0.0323994
+0.0308668
+0.0294176
+0.028063
+0.0267962
+0.0256542
+0.0246544
+0.0238122
+0.0231089
+0.0225966
+0.0222562
+0.0220523
+0.0219649
+0.0220329
+0.0219298
+0.0218563
+0.0218017
+0.0217747
+0.0218234
+0.0217873
+0.0215856
+0.0214888
+0.0213803
+0.0214334
+0.0216404
+0.0219868
+0.0225417
+0.0232903
+0.024214
+0.0252579
+0.0264425
+0.0277498
+0.0291539
+0.030629
+0.0321856
+0.0338092
+0.0354918
+0.0372272
+0.0390086
+0.0408297
+0.0412198
+0.0411491
+0.0411949
+0.0413568
+0.0416191
+0.0419699
+0.0424255
+0.0783433
+0.0780351
+0.0777874
+0.0776008
+0.0774757
+0.0774124
+0.0774111
+0.0774717
+0.0775942
+0.0777686
+0.0780018
+0.0782957
+0.0786495
+0.0790624
+0.0795336
+0.0800619
+0.079652
+0.0780961
+0.0765713
+0.0750794
+0.0736225
+0.0722027
+0.0707533
+0.0691983
+0.0676786
+0.0661965
+0.0647546
+0.0633556
+0.0620025
+0.0606984
+0.0594463
+0.0582498
+0.0571058
+0.056014
+0.0549878
+0.054031
+0.0531473
+0.0523404
+0.051614
+0.0509714
+0.0504159
+0.0499504
+0.0495774
+0.0492991
+0.0491169
+0.0475876
+0.0457515
+0.0439478
+0.0421614
+0.0404116
+0.0387068
+0.0370531
+0.0354547
+0.0339187
+0.0324579
+0.0310829
+0.0297868
+0.0285964
+0.0275292
+0.0266
+0.0258066
+0.0251589
+0.0246891
+0.024377
+0.0242045
+0.0241249
+0.0242226
+0.0241004
+0.0240331
+0.0239827
+0.0239584
+0.0240116
+0.0239578
+0.0237746
+0.0236732
+0.0235564
+0.0236037
+0.0237876
+0.0241031
+0.0246103
+0.0252978
+0.0261511
+0.0271239
+0.0282303
+0.0294584
+0.0307934
+0.0321964
+0.0336807
+0.0352387
+0.0368587
+0.0385327
+0.0402562
+0.0420234
+0.0431605
+0.0430929
+0.0431309
+0.0432642
+0.0435076
+0.0438591
+0.044312
+0.0802604
+0.0799596
+0.0797179
+0.0795358
+0.0794137
+0.079352
+0.0793507
+0.0794099
+0.0795294
+0.0797004
+0.079928
+0.0802148
+0.0805602
+0.0809634
+0.0814236
+0.0819397
+0.0805264
+0.0789877
+0.0774804
+0.0760064
+0.0745676
+0.0731661
+0.0716844
+0.0701502
+0.0686515
+0.0671909
+0.0657708
+0.0643939
+0.063063
+0.0617813
+0.0605516
+0.0593773
+0.0582558
+0.0571859
+0.0561811
+0.055245
+0.054381
+0.0535927
+0.0528835
+0.0522566
+0.0517149
+0.0512612
+0.0508978
+0.0506267
+0.0504493
+0.0487526
+0.046962
+0.0451893
+0.0434511
+0.0417554
+0.0401078
+0.0385143
+0.0369782
+0.0355081
+0.0341155
+0.0327973
+0.0315685
+0.0304479
+0.0294479
+0.0285811
+0.0278303
+0.0272307
+0.0267973
+0.0265091
+0.0263629
+0.0262899
+0.0263777
+0.0262742
+0.0262103
+0.0261653
+0.0261433
+0.0262003
+0.0261317
+0.0259638
+0.0258441
+0.0257349
+0.0257764
+0.025942
+0.0262316
+0.0266984
+0.0273334
+0.0281251
+0.0290353
+0.0300715
+0.0312272
+0.0324897
+0.0338332
+0.0352486
+0.0367402
+0.0382991
+0.0399157
+0.041582
+0.043295
+0.0450495
+0.0450256
+0.0450626
+0.0451902
+0.0454232
+0.04576
+0.0461983
+0.0821912
+0.0818975
+0.0816615
+0.0814837
+0.0813646
+0.0813043
+0.0813031
+0.0813608
+0.0814775
+0.0816454
+0.0818676
+0.0821476
+0.0824849
+0.0828787
+0.0833283
+0.0830011
+0.0814503
+0.0799294
+0.0784402
+0.0769845
+0.0755644
+0.0741817
+0.0726697
+0.0711567
+0.0696797
+0.0682411
+0.0668433
+0.0654889
+0.0641808
+0.0629218
+0.0617149
+0.0605632
+0.0594642
+0.0584165
+0.0574333
+0.0565179
+0.0556737
+0.0549039
+0.0542119
+0.0536005
+0.0530725
+0.0526305
+0.0522766
+0.0520127
+0.0517652
+0.0499865
+0.0482262
+0.0464983
+0.0448108
+0.0431686
+0.041577
+0.0400419
+0.0385661
+0.0371589
+0.0358228
+0.0345627
+0.0333989
+0.0323418
+0.0314022
+0.0305823
+0.0298775
+0.0293199
+0.0289178
+0.0286501
+0.0285164
+0.0284588
+0.0285382
+0.0284507
+0.028388
+0.0283492
+0.0283292
+0.0283893
+0.0283082
+0.0281532
+0.0280181
+0.0279154
+0.0279518
+0.028102
+0.0283696
+0.0288018
+0.0293913
+0.030129
+0.0309838
+0.0319568
+0.0330466
+0.0342421
+0.0355297
+0.0368801
+0.0383082
+0.0398057
+0.0413651
+0.0429785
+0.044638
+0.0463417
+0.0469809
+0.047017
+0.0471393
+0.0473627
+0.0476859
+0.0481067
+0.0841347
+0.0838478
+0.0836173
+0.0834437
+0.0833274
+0.0832685
+0.0832673
+0.0833237
+0.0834376
+0.0836025
+0.0838195
+0.0840931
+0.0844226
+0.0848074
+0.0852468
+0.0839549
+0.082422
+0.0809194
+0.0794488
+0.078012
+0.0766108
+0.0752325
+0.073707
+0.0722157
+0.0707608
+0.0693446
+0.0679695
+0.0666381
+0.065353
+0.064117
+0.062933
+0.061804
+0.0607277
+0.0597022
+0.0587404
+0.0578457
+0.0570212
+0.0562699
+0.0555949
+0.0549988
+0.0544844
+0.054054
+0.0537095
+0.0534526
+0.0530195
+0.0512704
+0.0495518
+0.0478717
+0.0462344
+0.0446446
+0.0431075
+0.0416288
+0.0402106
+0.0388598
+0.0375738
+0.0363744
+0.0352705
+0.0342711
+0.0333858
+0.032604
+0.0319438
+0.0314228
+0.031048
+0.030798
+0.0306737
+0.0306309
+0.030703
+0.0306292
+0.0305674
+0.0305341
+0.0305157
+0.0305786
+0.0304867
+0.0303399
+0.0301945
+0.0300973
+0.0301295
+0.0302664
+0.030515
+0.0309173
+0.0314672
+0.0321573
+0.0329626
+0.0338789
+0.0349088
+0.0360425
+0.0372707
+0.038567
+0.0399348
+0.0413735
+0.0428759
+0.0444355
+0.0460461
+0.0476995
+0.0489562
+0.0489914
+0.0491088
+0.0493233
+0.0496336
+0.0500381
+0.0860901
+0.0858097
+0.0855845
+0.0854149
+0.0853013
+0.0852438
+0.0852426
+0.0852977
+0.0854089
+0.0855709
+0.085783
+0.0860503
+0.0863723
+0.0867485
+0.0864981
+0.0849546
+0.08344
+0.0819561
+0.0805044
+0.0790867
+0.0777046
+0.0762978
+0.074794
+0.0733248
+0.0718924
+0.0704989
+0.0691468
+0.0678385
+0.0665765
+0.0653637
+0.0642027
+0.0630964
+0.0620428
+0.0610394
+0.0600991
+0.0592249
+0.0584198
+0.0576867
+0.0570285
+0.0564476
+0.0559465
+0.0555274
+0.0551921
+0.0549422
+0.0543207
+0.0526105
+0.0509371
+0.0493042
+0.0477161
+0.0461774
+0.044693
+0.0432682
+0.0419051
+0.040598
+0.0393688
+0.0382258
+0.0371769
+0.0362301
+0.0353907
+0.034646
+0.0340257
+0.033537
+0.0331861
+0.0329516
+0.0328353
+0.0328054
+0.0328712
+0.0328093
+0.0327483
+0.0327197
+0.0327028
+0.032768
+0.0326668
+0.0325251
+0.0323728
+0.0322804
+0.032309
+0.0324344
+0.0326665
+0.0330425
+0.0335577
+0.0342056
+0.0349667
+0.0358318
+0.036807
+0.037884
+0.0390543
+0.0403024
+0.0416132
+0.0429958
+0.0444433
+0.0459498
+0.0475095
+0.0491174
+0.0507654
+0.0509834
+0.0510963
+0.0513024
+0.0516009
+0.05199
+0.0880565
+0.0877824
+0.0875623
+0.0873966
+0.0872855
+0.0872293
+0.0872282
+0.087282
+0.0873907
+0.0875499
+0.0877572
+0.0880185
+0.0883333
+0.0887012
+0.0875235
+0.0859984
+0.0845025
+0.0830373
+0.0816046
+0.080206
+0.0788435
+0.0774105
+0.0759287
+0.0744819
+0.0730722
+0.0717016
+0.0703726
+0.0690875
+0.0678488
+0.0666591
+0.0655211
+0.0644374
+0.0634064
+0.0624249
+0.0615057
+0.0606518
+0.059866
+0.0591508
+0.058509
+0.0579429
+0.0574549
+0.0570469
+0.0567206
+0.0564774
+0.0556735
+0.0540062
+0.0523774
+0.0507909
+0.0492508
+0.0477615
+0.0463279
+0.0449546
+0.0436325
+0.0423781
+0.0412021
+0.0401114
+0.0391131
+0.0382143
+0.0374084
+0.0367047
+0.0361203
+0.0356605
+0.0353307
+0.0351098
+0.0350006
+0.0349819
+0.0350422
+0.0349907
+0.0349304
+0.034906
+0.0348903
+0.0349576
+0.0348482
+0.034711
+0.0345527
+0.0344645
+0.0344898
+0.0346043
+0.0348219
+0.0351749
+0.0356593
+0.0362697
+0.036992
+0.0378108
+0.0387362
+0.039761
+0.0408776
+0.0420787
+0.0433374
+0.0446666
+0.0460617
+0.0475169
+0.0490268
+0.0505865
+0.0521916
+0.0529912
+0.0530997
+0.0532982
+0.0535855
+0.0539603
+0.0900333
+0.0897653
+0.08955
+0.089388
+0.0892794
+0.0892245
+0.0892233
+0.0892759
+0.0893822
+0.0895388
+0.0897414
+0.089997
+0.0903049
+0.0901257
+0.0885911
+0.0870844
+0.0856072
+0.0841611
+0.0827478
+0.0813689
+0.0800262
+0.0785685
+0.077109
+0.0756848
+0.0742978
+0.0729503
+0.0716445
+0.0703826
+0.0691671
+0.0680005
+0.0668852
+0.0658241
+0.0648153
+0.0638554
+0.0629572
+0.0621233
+0.0613562
+0.0606587
+0.060033
+0.0594814
+0.0590061
+0.0586089
+0.0582913
+0.0580547
+0.0570784
+0.0554533
+0.0538683
+0.0523271
+0.0508335
+0.0493919
+0.0480071
+0.0466754
+0.0453994
+0.0441952
+0.0430689
+0.0420266
+0.0410748
+0.0402192
+0.0394446
+0.0387779
+0.0382252
+0.0377916
+0.0374805
+0.0372718
+0.0371689
+0.0371601
+0.0372146
+0.0371732
+0.0371135
+0.0370926
+0.0370782
+0.0371473
+0.0370308
+0.036893
+0.0367336
+0.0366493
+0.0366719
+0.0367745
+0.0369794
+0.037312
+0.0377689
+0.0383457
+0.0390351
+0.0398119
+0.0406919
+0.0416686
+0.0427353
+0.0438856
+0.045102
+0.0463807
+0.0477257
+0.0491316
+0.0505934
+0.0521062
+0.0536659
+0.0550129
+0.0551174
+0.0553087
+0.0555856
+0.055947
+0.0880329
+0.0865597
+0.0851135
+0.0836711
+0.0822337
+0.0808302
+0.0794623
+0.0781108
+0.076732
+0.0753915
+0.0740448
+0.0726862
+0.0713624
+0.0700664
+0.0687997
+0.0675381
+0.0662418
+0.0649936
+0.0637962
+0.0626525
+0.0615649
+0.0604489
+0.0593498
+0.0582992
+0.0573027
+0.0563738
+0.0555159
+0.0546429
+0.0536578
+0.0527453
+0.0519037
+0.0511315
+0.0503833
+0.049706
+0.049106
+0.0485326
+0.0478552
+0.0469775
+0.0461622
+0.0454081
+0.0447424
+0.0441659
+0.0436801
+0.0432999
+0.0430279
+0.0428519
+0.0427369
+0.04273
+0.0428176
+0.0430166
+0.0433257
+0.0437424
+0.0442253
+0.044786
+0.0454455
+0.0461996
+0.0470437
+0.0479731
+0.0489828
+0.0500557
+0.0511964
+0.0507421
+0.0500755
+0.0494898
+0.0485645
+0.0477055
+0.0469331
+0.0462462
+0.045649
+0.0451503
+0.0447534
+0.044461
+0.0442752
+0.0441973
+0.0442279
+0.0443599
+0.0445853
+0.0448898
+0.0450784
+0.0453721
+0.0457689
+0.0462661
+0.0468606
+0.0475487
+0.0483263
+0.0491893
+0.0501333
+0.0511503
+0.0522347
+0.053387
+0.0546028
+0.0558782
+0.057209
+0.0585915
+0.0600222
+0.0614976
+0.0627143
+0.0638056
+0.0649524
+0.066152
+0.086406
+0.0849616
+0.0834908
+0.0820491
+0.0805991
+0.0791666
+0.0777694
+0.0764094
+0.0750516
+0.0736807
+0.0723501
+0.0709876
+0.0696325
+0.0683197
+0.067028
+0.0657744
+0.0644898
+0.0632069
+0.0619749
+0.060797
+0.0596762
+0.0585988
+0.0574685
+0.0563962
+0.0553655
+0.0544035
+0.053514
+0.0526614
+0.0517119
+0.0507644
+0.0498952
+0.0490926
+0.0483412
+0.0476349
+0.04702
+0.0464334
+0.0458807
+0.0449645
+0.0441278
+0.0433452
+0.0426473
+0.0420481
+0.0415375
+0.0411375
+0.0408511
+0.0406699
+0.0405486
+0.0405404
+0.0406327
+0.0408424
+0.0411678
+0.0416062
+0.0420982
+0.0426869
+0.0433784
+0.0441677
+0.0450499
+0.0460196
+0.0470656
+0.0481775
+0.0493617
+0.0487001
+0.0480101
+0.0473989
+0.0466263
+0.0457309
+0.0449246
+0.0442103
+0.0435852
+0.0430626
+0.0426462
+0.0423393
+0.0421441
+0.0420623
+0.0420945
+0.0422292
+0.0424659
+0.0427038
+0.042902
+0.0432105
+0.043627
+0.0441484
+0.044771
+0.0454907
+0.0463029
+0.0472029
+0.0481858
+0.0492386
+0.0503641
+0.0515582
+0.0528162
+0.0541336
+0.0555063
+0.0569302
+0.0584015
+0.0599169
+0.0610111
+0.0621323
+0.0633095
+0.0645396
+0.084798
+0.0833409
+0.0818922
+0.0804243
+0.0789846
+0.0775291
+0.0761019
+0.0747116
+0.0733604
+0.0719958
+0.0706334
+0.0693042
+0.0679292
+0.0665829
+0.0652818
+0.0639954
+0.0627381
+0.0614464
+0.0601784
+0.0589646
+0.0578083
+0.0567131
+0.0556098
+0.0545011
+0.0534478
+0.0524506
+0.0515274
+0.0506821
+0.0497864
+0.0488015
+0.0478968
+0.0470674
+0.0463127
+0.0455749
+0.0449319
+0.0443431
+0.0438165
+0.0429689
+0.0421032
+0.0412949
+0.0405623
+0.039936
+0.0394002
+0.0389782
+0.0386759
+0.0384888
+0.0383607
+0.038351
+0.0384485
+0.0386701
+0.0390136
+0.0394706
+0.039978
+0.0405975
+0.0413239
+0.0421518
+0.0430753
+0.0440884
+0.0451694
+0.0463268
+0.0474737
+0.0466715
+0.0459543
+0.0453175
+0.0447115
+0.0437769
+0.042934
+0.042188
+0.0415344
+0.0409856
+0.0405479
+0.040225
+0.0400195
+0.0399333
+0.0399672
+0.0401049
+0.0403541
+0.0405184
+0.0407272
+0.0410521
+0.0414902
+0.0420381
+0.0426915
+0.0434456
+0.0442954
+0.0452354
+0.0462558
+0.0473509
+0.0485203
+0.0497586
+0.051061
+0.0524225
+0.0538388
+0.0553057
+0.0568191
+0.0582473
+0.0593399
+0.0604921
+0.0617006
+0.0629621
+0.0832149
+0.0817313
+0.0802784
+0.0788252
+0.0773602
+0.0759125
+0.0744615
+0.07304
+0.0716573
+0.0703157
+0.0689437
+0.0675909
+0.0662456
+0.0648735
+0.0635379
+0.0622412
+0.0609693
+0.0597066
+0.0584087
+0.0571573
+0.0559637
+0.0548317
+0.0537582
+0.0526289
+0.0515492
+0.0505173
+0.0495581
+0.0486786
+0.047816
+0.0468585
+0.0459158
+0.045052
+0.0442737
+0.0435277
+0.042854
+0.042263
+0.0417101
+0.0409932
+0.0400849
+0.0392546
+0.0384891
+0.0378285
+0.0372691
+0.0368227
+0.0365026
+0.0363089
+0.036173
+0.0361617
+0.0362651
+0.0364999
+0.0368637
+0.0373298
+0.0378659
+0.0385193
+0.0392842
+0.0401541
+0.0411225
+0.0421743
+0.043301
+0.044507
+0.0454897
+0.0446583
+0.0439082
+0.0432468
+0.0426512
+0.0418464
+0.0409637
+0.0401812
+0.0394986
+0.0389211
+0.03846
+0.0381193
+0.0379024
+0.0378115
+0.0378473
+0.0379882
+0.0382373
+0.0383335
+0.0385542
+0.0388972
+0.0393594
+0.0399365
+0.0406237
+0.0414155
+0.0423061
+0.0432892
+0.0443495
+0.0454905
+0.0467064
+0.0479916
+0.0493406
+0.0507484
+0.0522101
+0.0537214
+0.0552783
+0.0565793
+0.0577035
+0.0588877
+0.0601285
+0.0614223
+0.0816434
+0.0801492
+0.0786671
+0.0772187
+0.0757605
+0.074299
+0.0728426
+0.0713965
+0.0699813
+0.0686069
+0.0672758
+0.0658959
+0.0645536
+0.0631907
+0.061822
+0.0604983
+0.0592065
+0.0579501
+0.0566685
+0.0553778
+0.054145
+0.0529741
+0.0518694
+0.0507821
+0.0496623
+0.0486058
+0.0476081
+0.0466919
+0.0458501
+0.0449344
+0.0439522
+0.043053
+0.0422413
+0.0414952
+0.040788
+0.0401878
+0.0396129
+0.0390397
+0.0380857
+0.0372294
+0.0364296
+0.0357309
+0.0351451
+0.0346713
+0.0343311
+0.0341283
+0.0339858
+0.0339726
+0.0340826
+0.0343324
+0.0347188
+0.035195
+0.0357632
+0.0364543
+0.0372616
+0.0381777
+0.0391945
+0.0402861
+0.0414641
+0.0427221
+0.0435255
+0.0426625
+0.0418767
+0.0411886
+0.0405742
+0.0399427
+0.039017
+0.0381946
+0.0374802
+0.0368712
+0.0363841
+0.0360238
+0.0357942
+0.0356979
+0.0357345
+0.0358804
+0.0360473
+0.0361494
+0.0363833
+0.0367466
+0.0372355
+0.037845
+0.0385695
+0.0394026
+0.0403376
+0.0413623
+0.0424706
+0.0436607
+0.0449262
+0.0462609
+0.0476589
+0.0491149
+0.0506238
+0.0521811
+0.0537825
+0.0549481
+0.0561049
+0.0573222
+0.0585961
+0.059923
+0.0800393
+0.078584
+0.0770844
+0.0756056
+0.0741621
+0.0726985
+0.0712409
+0.0697752
+0.0683345
+0.0669263
+0.065561
+0.064231
+0.0628531
+0.0615223
+0.0601369
+0.0587753
+0.057465
+0.0561788
+0.0549182
+0.0536287
+0.0523547
+0.0511429
+0.0499977
+0.0489239
+0.0478013
+0.0467128
+0.0456799
+0.0447243
+0.0438573
+0.0429825
+0.0420091
+0.0410736
+0.0402222
+0.039468
+0.0387356
+0.0381031
+0.0375263
+0.037022
+0.0361086
+0.0352106
+0.0343858
+0.0336453
+0.0330293
+0.0325247
+0.0321618
+0.0319453
+0.0317991
+0.0317837
+0.0319013
+0.032168
+0.0325801
+0.0330676
+0.0336717
+0.0344049
+0.0352591
+0.0362258
+0.0372849
+0.03843
+0.0396632
+0.0409765
+0.0415839
+0.0406869
+0.0398621
+0.0391428
+0.0385097
+0.037925
+0.0370975
+0.0362315
+0.0354799
+0.0348384
+0.0343225
+0.0339403
+0.0336966
+0.0335942
+0.0336282
+0.0337832
+0.0338574
+0.0339661
+0.034215
+0.034601
+0.0351198
+0.0357654
+0.0365311
+0.0374097
+0.0383927
+0.0394628
+0.0406229
+0.0418656
+0.0431837
+0.0445706
+0.04602
+0.0475262
+0.049084
+0.0506886
+0.052231
+0.0533569
+0.0545475
+0.0557987
+0.0571066
+0.0584582
+0.0784636
+0.0769786
+0.0755247
+0.0740223
+0.0725473
+0.0711092
+0.0696394
+0.0681801
+0.0667107
+0.0652759
+0.0638754
+0.0625203
+0.0611838
+0.0598159
+0.058473
+0.0570844
+0.0557344
+0.0544372
+0.0531592
+0.0518939
+0.050596
+0.049341
+0.048153
+0.047037
+0.0459694
+0.0448364
+0.0437765
+0.0427783
+0.041871
+0.041019
+0.0400916
+0.0391105
+0.0382217
+0.037431
+0.0366992
+0.036031
+0.0354473
+0.0349124
+0.0341576
+0.033207
+0.0323555
+0.0315738
+0.0309207
+0.0303843
+0.0299955
+0.0297632
+0.0296129
+0.029595
+0.0297213
+0.0300074
+0.0304488
+0.0309491
+0.0315936
+0.0323739
+0.0332803
+0.0343008
+0.035407
+0.036611
+0.0379034
+0.0392755
+0.0396683
+0.0387269
+0.0378671
+0.0371091
+0.0364554
+0.0358419
+0.0352096
+0.034296
+0.033501
+0.0328227
+0.0322745
+0.0318678
+0.031608
+0.0314989
+0.0315333
+0.0316932
+0.0316677
+0.0317838
+0.0320497
+0.0324615
+0.0330138
+0.0336998
+0.0345114
+0.0354401
+0.0364701
+0.0375949
+0.0388109
+0.0401098
+0.0414838
+0.0429256
+0.0444287
+0.045987
+0.0475952
+0.0492484
+0.0506492
+0.0518094
+0.0530348
+0.0543209
+0.0556551
+0.0570351
+0.0768999
+0.0754026
+0.073921
+0.0724673
+0.0709633
+0.0694924
+0.0680603
+0.0665831
+0.0651142
+0.0636494
+0.0622212
+0.0608293
+0.0594855
+0.058142
+0.0567853
+0.0554227
+0.0540371
+0.0527
+0.0514086
+0.0501491
+0.0488722
+0.0475717
+0.0463384
+0.0451776
+0.0440952
+0.0429898
+0.0418908
+0.0408571
+0.0399062
+0.0390552
+0.0381657
+0.0371725
+0.0362432
+0.0354112
+0.0346817
+0.0339738
+0.0333749
+0.0328133
+0.0322151
+0.0312284
+0.0303442
+0.0295196
+0.0288199
+0.0282516
+0.027833
+0.0275825
+0.0274274
+0.0274067
+0.027543
+0.0278515
+0.0283038
+0.0288413
+0.0295319
+0.0303652
+0.0313298
+0.0323982
+0.0335671
+0.0348347
+0.0361906
+0.0376253
+0.0377691
+0.036793
+0.0358949
+0.0350943
+0.0344053
+0.0337724
+0.0332488
+0.0323931
+0.0315502
+0.0308289
+0.0302446
+0.0298102
+0.0295324
+0.0294155
+0.0294524
+0.0295048
+0.029478
+0.0296028
+0.029888
+0.0303292
+0.0309197
+0.0316511
+0.0325139
+0.0334966
+0.0345794
+0.0357638
+0.0370399
+0.0383988
+0.0398318
+0.0413313
+0.0428903
+0.0445025
+0.0461625
+0.0478651
+0.0491142
+0.0503098
+0.0515709
+0.052885
+0.054247
+0.0556619
+0.0753524
+0.0738403
+0.0723447
+0.0708669
+0.0694124
+0.0679079
+0.0664416
+0.0650052
+0.0635303
+0.0620515
+0.0605918
+0.059171
+0.0577886
+0.0564575
+0.0551064
+0.0537624
+0.0523764
+0.0509959
+0.0496736
+0.0483888
+0.0471245
+0.0458389
+0.0445576
+0.0433492
+0.0422199
+0.0411703
+0.0400282
+0.0389644
+0.0379661
+0.0370706
+0.036206
+0.0352642
+0.0342849
+0.0334099
+0.0326469
+0.0319344
+0.0313178
+0.030725
+0.0302501
+0.0292801
+0.0283351
+0.0274861
+0.0267336
+0.0261285
+0.0256753
+0.0254036
+0.0252429
+0.0252188
+0.0253669
+0.0257015
+0.0261663
+0.0267468
+0.0274901
+0.0283834
+0.0294079
+0.0305342
+0.0317717
+0.0331081
+0.0345319
+0.0360327
+0.0358995
+0.0348847
+0.0339495
+0.0331019
+0.0323707
+0.0317191
+0.0311611
+0.0305287
+0.0296328
+0.0288637
+0.0282388
+0.027773
+0.0274746
+0.0273489
+0.0273886
+0.0273168
+0.0272886
+0.0274233
+0.027731
+0.0282059
+0.0288399
+0.0296227
+0.0305428
+0.0315799
+0.0327262
+0.0339752
+0.035316
+0.0367387
+0.038234
+0.0397937
+0.0414106
+0.0430783
+0.0447911
+0.0464693
+0.0476305
+0.0488625
+0.0501532
+0.0514943
+0.0528921
+0.0543424
+0.073834
+0.0722939
+0.070784
+0.0692904
+0.0678168
+0.0663579
+0.0648565
+0.0633954
+0.0619542
+0.0604821
+0.0589925
+0.0575386
+0.0561239
+0.0547522
+0.0534352
+0.0520782
+0.0507394
+0.0493301
+0.047962
+0.0466566
+0.0453796
+0.0441101
+0.0428148
+0.0415558
+0.0403764
+0.0392839
+0.0382004
+0.0370889
+0.0360547
+0.0351105
+0.0342726
+0.0333726
+0.0323546
+0.0314339
+0.0306264
+0.0299163
+0.0292572
+0.0286461
+0.0281444
+0.0273478
+0.026355
+0.0254719
+0.0246654
+0.0240175
+0.0235237
+0.0232268
+0.0230595
+0.0230314
+0.0231935
+0.0235589
+0.0240385
+0.024669
+0.025473
+0.0264346
+0.0275158
+0.0287163
+0.0300289
+0.0314394
+0.0329354
+0.0345057
+0.0340611
+0.0330092
+0.0320223
+0.0311361
+0.0303579
+0.0296855
+0.0290885
+0.0286469
+0.027756
+0.0269333
+0.0262625
+0.025761
+0.025439
+0.0253032
+0.0253269
+0.0251292
+0.0250994
+0.0252458
+0.0255796
+0.0260938
+0.0267778
+0.0276191
+0.0286014
+0.0297011
+0.0309171
+0.0322363
+0.0336465
+0.0351368
+0.0366974
+0.0383197
+0.0399963
+0.0417206
+0.0434868
+0.045005
+0.0462031
+0.0474665
+0.0487831
+0.0501608
+0.0515948
+0.0530805
+0.07235
+0.0707777
+0.069239
+0.0677316
+0.0662402
+0.0647713
+0.0633076
+0.0618098
+0.0603544
+0.0589081
+0.0574322
+0.0559378
+0.0544904
+0.0530812
+0.0517217
+0.0504154
+0.0490587
+0.0476976
+0.0462907
+0.0449368
+0.0436469
+0.0423833
+0.0411065
+0.0398021
+0.0385692
+0.037424
+0.0363747
+0.0352449
+0.0341769
+0.0331792
+0.0322995
+0.0314195
+0.0304595
+0.0294834
+0.0286275
+0.0279026
+0.027217
+0.0265851
+0.0260527
+0.0254462
+0.0244109
+0.0234743
+0.0226203
+0.0219194
+0.02138
+0.0210529
+0.0208777
+0.0208448
+0.0210236
+0.0214262
+0.021923
+0.0226126
+0.0234871
+0.0245172
+0.0256711
+0.0269539
+0.0283482
+0.0298383
+0.0314107
+0.0330535
+0.0322634
+0.0311641
+0.0301282
+0.0292023
+0.0283715
+0.0276759
+0.0270345
+0.0265582
+0.0259284
+0.0250458
+0.0243229
+0.0237807
+0.0234314
+0.0232839
+0.0231586
+0.0229423
+0.0229104
+0.0230707
+0.0234356
+0.0239957
+0.0247378
+0.0256461
+0.0266927
+0.0278678
+0.0291604
+0.0305555
+0.0320398
+0.0336014
+0.0352301
+0.036917
+0.0386545
+0.040436
+0.0422559
+0.0436017
+0.0448329
+0.0461206
+0.0474745
+0.0488891
+0.0503593
+0.0518804
+0.0709028
+0.0692976
+0.0677252
+0.0661881
+0.0646835
+0.0631946
+0.061731
+0.0602622
+0.0587685
+0.0573196
+0.0558678
+0.0543781
+0.0528881
+0.0514479
+0.0500454
+0.0486996
+0.0473943
+0.0460497
+0.0446636
+0.0432596
+0.0419223
+0.0406409
+0.0393727
+0.0380938
+0.0368037
+0.0356017
+0.0344971
+0.0334427
+0.0323161
+0.0312822
+0.0303475
+0.0294997
+0.0286066
+0.0275651
+0.0266571
+0.0258825
+0.025202
+0.0245465
+0.0239787
+0.0235689
+0.0224941
+0.021493
+0.020605
+0.0198331
+0.0192469
+0.0188829
+0.0186965
+0.018659
+0.0188587
+0.0192838
+0.0198238
+0.0205839
+0.0215409
+0.0226403
+0.023885
+0.0252587
+0.0267415
+0.0283163
+0.0299686
+0.0316862
+0.0305171
+0.0293643
+0.028277
+0.0272944
+0.0264173
+0.0256695
+0.0250038
+0.0244761
+0.0240972
+0.0232116
+0.0224297
+0.0218405
+0.0214597
+0.0212986
+0.020995
+0.0207561
+0.0207218
+0.0208989
+0.021301
+0.0219157
+0.0227259
+0.0237075
+0.0248306
+0.0260898
+0.0274661
+0.028943
+0.0305059
+0.0321421
+0.0338411
+0.0355939
+0.0373929
+0.0392317
+0.0410571
+0.0422537
+0.0435158
+0.0448413
+0.0462327
+0.0476842
+0.0491904
+0.0507466
+0.0694242
+0.0678559
+0.0662494
+0.0646771
+0.0631417
+0.0616404
+0.0601544
+0.0586967
+0.0572225
+0.0557334
+0.0542919
+0.052834
+0.0513292
+0.0498444
+0.0484101
+0.0470176
+0.0456877
+0.0443837
+0.0430533
+0.0416302
+0.0402388
+0.038921
+0.0376497
+0.0363756
+0.0350861
+0.0338232
+0.0326585
+0.0316029
+0.0304982
+0.0294219
+0.0284304
+0.0275732
+0.0266736
+0.0256903
+0.0247201
+0.0238922
+0.0232123
+0.0225295
+0.0219241
+0.0214784
+0.0206103
+0.0195563
+0.0186208
+0.017772
+0.0171284
+0.0167184
+0.0165154
+0.0164746
+0.0167004
+0.0171415
+0.0177468
+0.018592
+0.0196304
+0.0208246
+0.0221715
+0.023645
+0.0252228
+0.0268867
+0.0286217
+0.0301292
+0.0288238
+0.0276149
+0.0264685
+0.0254256
+0.024501
+0.0236951
+0.0230001
+0.0224147
+0.0220076
+0.0214444
+0.0205956
+0.0199522
+0.0195347
+0.0193501
+0.0188376
+0.018571
+0.0185337
+0.0187315
+0.0191791
+0.0198596
+0.0207502
+0.0218106
+0.0230265
+0.0243789
+0.0258466
+0.0274109
+0.0290563
+0.0307697
+0.0325404
+0.0343596
+0.03622
+0.0381154
+0.0397351
+0.0409704
+0.0422713
+0.0436346
+0.0450633
+0.0465513
+0.048093
+0.0496835
+0.0678971
+0.0663767
+0.0648139
+0.063206
+0.061634
+0.0601007
+0.0586031
+0.0571204
+0.0556695
+0.0541894
+0.0527057
+0.0512726
+0.0498071
+0.0482866
+0.0468078
+0.0453791
+0.0439997
+0.0426882
+0.0413861
+0.0400402
+0.0386061
+0.0372306
+0.035936
+0.0346774
+0.0333968
+0.0320957
+0.0308658
+0.0297467
+0.0287323
+0.0275873
+0.0265556
+0.0256358
+0.0247716
+0.0238565
+0.0228219
+0.0219339
+0.0212029
+0.0205129
+0.0198904
+0.0194102
+0.018752
+0.0176651
+0.0166524
+0.0157459
+0.0150306
+0.0145616
+0.0143373
+0.0142921
+0.0145518
+0.0150132
+0.0157007
+0.0166499
+0.0177774
+0.0190879
+0.0205489
+0.0221307
+0.0238091
+0.0255652
+0.0273799
+0.0285636
+0.0271941
+0.0259121
+0.0247152
+0.0236123
+0.0226198
+0.0217622
+0.0210028
+0.0203803
+0.0199386
+0.0196039
+0.0188377
+0.0181321
+0.0176716
+0.0172652
+0.0166889
+0.0163874
+0.0163463
+0.0165702
+0.0170746
+0.0178356
+0.018816
+0.019974
+0.021295
+0.0227506
+0.0243167
+0.0259733
+0.0277042
+0.0294963
+0.031339
+0.0332241
+0.0351446
+0.037095
+0.0384925
+0.0397665
+0.0411059
+0.0425067
+0.043972
+0.0454957
+0.047072
+0.0486958
+0.0664071
+0.0648519
+0.0633342
+0.0617775
+0.0601682
+0.0585966
+0.0570658
+0.0555724
+0.0540937
+0.0526504
+0.0511641
+0.0496866
+0.0482634
+0.0467797
+0.0452516
+0.0437799
+0.0423577
+0.0409937
+0.0397038
+0.0384045
+0.0370268
+0.0355948
+0.0342385
+0.0329645
+0.0316934
+0.0304278
+0.0291277
+0.027939
+0.0268766
+0.0258082
+0.0247146
+0.0237424
+0.0228972
+0.0219812
+0.0209773
+0.0200221
+0.0192204
+0.0185358
+0.0178939
+0.017372
+0.0169026
+0.0158131
+0.014731
+0.0137703
+0.0129615
+0.0124167
+0.0121637
+0.0121126
+0.0124179
+0.0129057
+0.0136994
+0.0147514
+0.0160099
+0.0174537
+0.0190405
+0.0207376
+0.0225184
+0.0243625
+0.0262598
+0.0270848
+0.0256422
+0.0242868
+0.0230369
+0.0218621
+0.0207993
+0.0198827
+0.0190481
+0.0183819
+0.0178925
+0.0175242
+0.0171797
+0.0164029
+0.0158924
+0.0152102
+0.0145527
+0.0142059
+0.0141599
+0.0144178
+0.0149948
+0.0158559
+0.016938
+0.0182158
+0.0196553
+0.0212237
+0.0228945
+0.0246469
+0.0264646
+0.0283352
+0.0302488
+0.0321977
+0.034176
+0.0361106
+0.0373372
+0.0386493
+0.0400266
+0.0414638
+0.0429648
+0.0445229
+0.0461325
+0.0477883
+0.0649569
+0.0633661
+0.0618119
+0.0602973
+0.0587476
+0.0571369
+0.0555659
+0.0540381
+0.0525497
+0.0510755
+0.0496407
+0.048148
+0.0466779
+0.045263
+0.0437498
+0.0422257
+0.0407625
+0.0393482
+0.0380025
+0.0367383
+0.0354339
+0.0340215
+0.0325998
+0.031267
+0.0300079
+0.0287305
+0.0274544
+0.0261899
+0.0250534
+0.0240556
+0.022921
+0.0218886
+0.0210096
+0.0201001
+0.0191749
+0.0181614
+0.0172882
+0.0166055
+0.0159473
+0.0153757
+0.0150507
+0.0140007
+0.0128713
+0.0118465
+0.0109219
+0.0102911
+0.00999759
+0.00993797
+0.0102859
+0.0108313
+0.0117623
+0.0129415
+0.0143596
+0.0159534
+0.0176754
+0.019487
+0.0213681
+0.0233033
+0.0252803
+0.025706
+0.0241852
+0.0227475
+0.0214315
+0.0201844
+0.0190381
+0.0180492
+0.0171506
+0.0164326
+0.0158832
+0.0154709
+0.0151639
+0.0147869
+0.0142184
+0.0131985
+0.0124355
+0.0120278
+0.0119751
+0.012279
+0.0129516
+0.0139295
+0.0151443
+0.016561
+0.0181324
+0.0198216
+0.0216012
+0.0234504
+0.0253541
+0.0273009
+0.0292821
+0.0312913
+0.0331568
+0.0346907
+0.0362776
+0.0376265
+0.0390405
+0.0405127
+0.0420476
+0.0436385
+0.0452795
+0.0469654
+0.0635009
+0.0619221
+0.0603308
+0.058778
+0.057267
+0.0557251
+0.0541132
+0.0525431
+0.0510189
+0.0495362
+0.0480675
+0.0466418
+0.045143
+0.0436817
+0.0422505
+0.0407302
+0.0392111
+0.0377571
+0.0363537
+0.03503
+0.0337824
+0.0324809
+0.031028
+0.0296259
+0.0283226
+0.0270745
+0.0257853
+0.0245108
+0.0232925
+0.022224
+0.0212022
+0.0200816
+0.0191417
+0.0182715
+0.0173854
+0.0163529
+0.0154253
+0.0146957
+0.0140111
+0.0134341
+0.0130671
+0.0122444
+0.011096
+0.00996565
+0.00895386
+0.0081999
+0.0078451
+0.00777237
+0.00813373
+0.0088134
+0.00989168
+0.0112677
+0.0128715
+0.0146269
+0.0164803
+0.018408
+0.0203889
+0.0224089
+0.0244583
+0.0244165
+0.0228307
+0.0213224
+0.0199141
+0.0185962
+0.0173641
+0.0162751
+0.0153174
+0.0145272
+0.0139243
+0.0134603
+0.0131034
+0.0128839
+0.0124315
+0.0112368
+0.0103489
+0.00985531
+0.00979295
+0.0101623
+0.0109655
+0.0120864
+0.0134685
+0.0150439
+0.0167581
+0.0185728
+0.0204612
+0.0224047
+0.0243902
+0.0264081
+0.0284516
+0.0302066
+0.0317317
+0.0333096
+0.0349019
+0.0365562
+0.0381504
+0.03966
+0.0412266
+0.042848
+0.0445182
+0.0462318
+0.0620268
+0.0604681
+0.0588939
+0.0573022
+0.0557512
+0.0542443
+0.0527115
+0.0510984
+0.0495296
+0.0480096
+0.0465339
+0.0450717
+0.0436566
+0.0421516
+0.0407007
+0.0392444
+0.0377233
+0.0362106
+0.0347647
+0.033378
+0.0320811
+0.0308437
+0.0295052
+0.028047
+0.0266803
+0.0254148
+0.0241242
+0.0228785
+0.0216078
+0.0204514
+0.0194438
+0.0183583
+0.0173256
+0.0164724
+0.0155658
+0.014636
+0.0136473
+0.012817
+0.0121602
+0.0115522
+0.011156
+0.0105621
+0.00938559
+0.00818122
+0.00706947
+0.00617798
+0.00572029
+0.00562622
+0.00600949
+0.00688503
+0.00818053
+0.00979984
+0.0116017
+0.0135151
+0.015502
+0.0175376
+0.0196067
+0.0216996
+0.0238101
+0.0232616
+0.0215978
+0.0200062
+0.0185302
+0.0171054
+0.0158167
+0.0146071
+0.0135562
+0.0126916
+0.012008
+0.0114755
+0.0110697
+0.0107936
+0.0107582
+0.00937631
+0.00831604
+0.00769311
+0.00761564
+0.00808509
+0.00905587
+0.0103793
+0.0119603
+0.0137101
+0.0155719
+0.0175099
+0.0195016
+0.0215319
+0.0235901
+0.0256581
+0.0272891
+0.0288019
+0.0303358
+0.0319261
+0.0335736
+0.0351406
+0.0367141
+0.0383243
+0.0399421
+0.0416123
+0.0433289
+0.0450804
+0.0605961
+0.0589996
+0.0574422
+0.0558733
+0.0542815
+0.0527327
+0.0512307
+0.0497038
+0.0480941
+0.0465272
+0.0450125
+0.043545
+0.0420908
+0.040682
+0.0391767
+0.0377311
+0.0362494
+0.0347324
+0.033228
+0.0317913
+0.0304268
+0.0291633
+0.0279395
+0.026534
+0.0250943
+0.0237696
+0.0225437
+0.0212161
+0.020019
+0.0187674
+0.0176968
+0.0166805
+0.0156059
+0.014653
+0.013773
+0.0129224
+0.011947
+0.0110506
+0.0103964
+0.00976821
+0.00931848
+0.00905417
+0.00780342
+0.00656036
+0.00530507
+0.00425523
+0.00364524
+0.0034983
+0.00395839
+0.00510664
+0.00675188
+0.00862841
+0.0106259
+0.0126873
+0.0147859
+0.0169079
+0.0190455
+0.0211939
+0.023349
+0.0222547
+0.0205188
+0.0188456
+0.0172758
+0.0157789
+0.0143784
+0.0130695
+0.0119174
+0.0109479
+0.010193
+0.00958084
+0.00907686
+0.00875258
+0.00868168
+0.00769174
+0.00636286
+0.0055533
+0.0054491
+0.00608796
+0.0072977
+0.00888696
+0.010691
+0.0126181
+0.0146196
+0.0166687
+0.0187346
+0.0208239
+0.0229321
+0.0244161
+0.0258719
+0.0273842
+0.0289709
+0.030584
+0.0321229
+0.0336938
+0.035288
+0.0369088
+0.0385859
+0.0403124
+0.0420685
+0.0438596
+0.0592119
+0.057577
+0.05598
+0.0544244
+0.0528618
+0.0512701
+0.0497239
+0.0482277
+0.0467015
+0.0451026
+0.0435383
+0.04203
+0.0405724
+0.039128
+0.0377148
+0.0362169
+0.0347804
+0.0332732
+0.0317621
+0.0302687
+0.0288441
+0.027508
+0.0262867
+0.0250625
+0.0235954
+0.0221814
+0.0209017
+0.0196574
+0.0183701
+0.0171978
+0.0160227
+0.0150145
+0.0140014
+0.0129318
+0.0120989
+0.0112221
+0.010343
+0.00944425
+0.00869194
+0.00817943
+0.00764994
+0.00752984
+0.00645758
+0.00513709
+0.00379261
+0.00257153
+0.00171379
+0.00144652
+0.00209635
+0.00377249
+0.0057875
+0.00789663
+0.0100303
+0.0121837
+0.0143483
+0.0165199
+0.0186959
+0.0208749
+0.0230562
+0.0213754
+0.0195816
+0.0178583
+0.0162118
+0.0146164
+0.0131429
+0.0117191
+0.0104531
+0.00936527
+0.00851377
+0.00780169
+0.00717588
+0.00680528
+0.00658633
+0.00624602
+0.00461865
+0.00347743
+0.00331444
+0.00424018
+0.00583973
+0.00773459
+0.00975415
+0.0118159
+0.0139094
+0.0160288
+0.0181652
+0.0202535
+0.0215857
+0.0229627
+0.0244586
+0.0260147
+0.0276184
+0.0291208
+0.0306889
+0.0322616
+0.0338856
+0.0355703
+0.0373058
+0.03907
+0.0408751
+0.0427064
+0.0578775
+0.0562037
+0.0545666
+0.0529696
+0.0514162
+0.0498608
+0.0482696
+0.0467268
+0.0452376
+0.0437125
+0.0421264
+0.0405657
+0.0390655
+0.0376201
+0.0361879
+0.0347627
+0.0332761
+0.0318179
+0.0303215
+0.0288187
+0.02734
+0.0259322
+0.0246329
+0.0234493
+0.0221965
+0.0207033
+0.0193261
+0.0181017
+0.0168331
+0.0156205
+0.0144871
+0.0134327
+0.0123824
+0.0113423
+0.0104613
+0.00958554
+0.00876553
+0.00800788
+0.0071544
+0.00660562
+0.00619467
+0.00609025
+0.00539865
+0.00402828
+0.0026698
+0.00137935
+0.000347771
+-0.000141231
+0.00111685
+0.0032719
+0.00545393
+0.00764091
+0.00982955
+0.0120189
+0.0142087
+0.0163987
+0.0185889
+0.0207792
+0.022564
+0.0206748
+0.0188465
+0.0170528
+0.0153545
+0.0136884
+0.0121261
+0.0106213
+0.00921536
+0.00802733
+0.00706448
+0.00618971
+0.00544203
+0.00487478
+0.0045614
+0.00422776
+0.00317327
+0.00163047
+0.00131375
+0.00290229
+0.00492216
+0.00702051
+0.00916218
+0.0113226
+0.0134928
+0.0156687
+0.0175806
+0.0187794
+0.0201099
+0.021565
+0.0230951
+0.0246731
+0.0261411
+0.0276992
+0.0292483
+0.0308753
+0.0325684
+0.0343112
+0.0360884
+0.0379089
+0.0397182
+0.0415604
+0.0565303
+0.0548836
+0.0532059
+0.0515667
+0.0499698
+0.0484191
+0.0468725
+0.0452822
+0.0437438
+0.0422631
+0.0407399
+0.0391692
+0.0376134
+0.0361234
+0.0346933
+0.0332765
+0.0318384
+0.0303666
+0.0288836
+0.0274022
+0.0259114
+0.0244505
+0.0230688
+0.0218191
+0.0206255
+0.0193608
+0.0178804
+0.0165548
+0.0153871
+0.0141166
+0.0130189
+0.0119189
+0.0109235
+0.00990485
+0.0089111
+0.00816478
+0.00739109
+0.00664033
+0.00588209
+0.00530886
+0.00507051
+0.00499269
+0.0047445
+0.00348675
+0.00241659
+0.00160725
+0.00109086
+0.00111094
+0.00202659
+0.00380393
+0.00580856
+0.0079064
+0.0100423
+0.0121977
+0.0143638
+0.0165363
+0.0187131
+0.0208928
+0.0219498
+0.020176
+0.0182978
+0.0164969
+0.0147391
+0.0130654
+0.0114164
+0.00984107
+0.00832705
+0.00702189
+0.00594093
+0.00493823
+0.00401573
+0.00323332
+0.00270336
+0.00221055
+0.00136361
+0.000119706
+0.000630899
+0.00263497
+0.00473417
+0.00689001
+0.00906257
+0.0112422
+0.0134254
+0.0149241
+0.0160385
+0.0173234
+0.0187214
+0.0202251
+0.0217461
+0.0231924
+0.0247044
+0.0262482
+0.0278781
+0.0295805
+0.0313337
+0.0331281
+0.0349269
+0.0367481
+0.0386077
+0.0404914
+0.055191
+0.0535304
+0.0518957
+0.0502203
+0.0485791
+0.0469828
+0.0454338
+0.0438994
+0.0423108
+0.040778
+0.0393076
+0.0377842
+0.0362356
+0.0346865
+0.0332097
+0.0317985
+0.0303924
+0.0289502
+0.0274983
+0.0259874
+0.0245267
+0.0230539
+0.0216062
+0.0202693
+0.0190877
+0.0178926
+0.0165782
+0.0151421
+0.0138768
+0.0127335
+0.0115566
+0.0106198
+0.00957749
+0.00860718
+0.00762817
+0.00695178
+0.00623586
+0.00553697
+0.00502244
+0.00448066
+0.00434378
+0.00428112
+0.00440443
+0.00375916
+0.00321102
+0.00292939
+0.00282956
+0.00308532
+0.00378486
+0.0051044
+0.00679021
+0.00869268
+0.0106781
+0.0127311
+0.0148212
+0.0169352
+0.0190665
+0.0212099
+0.0214013
+0.0196508
+0.0179969
+0.0161579
+0.0143971
+0.012724
+0.0109952
+0.00938359
+0.00780723
+0.00649563
+0.00535586
+0.00426707
+0.00322026
+0.00221162
+0.00130696
+0.000498421
+-0.000557451
+-0.000300104
+0.00150492
+0.00343427
+0.00537616
+0.0073766
+0.00946169
+0.0115822
+0.0124662
+0.0134532
+0.0146428
+0.0159725
+0.0174292
+0.0188622
+0.0202883
+0.0217381
+0.0232722
+0.0249042
+0.0266158
+0.0283762
+0.0301648
+0.0319621
+0.0338011
+0.0356704
+0.0375443
+0.039393
+0.0537834
+0.0521898
+0.0505424
+0.0489059
+0.0472492
+0.0456063
+0.0440091
+0.0424646
+0.0409448
+0.0393589
+0.0378334
+0.0363759
+0.0348519
+0.0333317
+0.031792
+0.0303317
+0.0289431
+0.0275427
+0.0261101
+0.0246801
+0.0231435
+0.021704
+0.0202472
+0.0188193
+0.017543
+0.0164501
+0.0152562
+0.0139081
+0.0125491
+0.0114135
+0.0102913
+0.00932651
+0.00847095
+0.00747597
+0.00666004
+0.0059614
+0.00546084
+0.0050063
+0.00458162
+0.00422331
+0.00412148
+0.00412544
+0.00429612
+0.00458546
+0.00456934
+0.00458358
+0.00479905
+0.00516226
+0.00579345
+0.00676927
+0.00819668
+0.00984121
+0.0116661
+0.0135883
+0.0155659
+0.0175941
+0.0196572
+0.0217442
+0.020974
+0.0192671
+0.0175515
+0.0159177
+0.0142794
+0.0125941
+0.0108938
+0.00928229
+0.0078079
+0.006551
+0.00542543
+0.0044023
+0.00340861
+0.00238549
+0.00144625
+0.000760368
+0.000628653
+0.001388
+0.00279079
+0.00449254
+0.00637402
+0.0082928
+0.0096746
+0.0102621
+0.0110754
+0.0121143
+0.0133273
+0.0147077
+0.0160375
+0.017428
+0.0188143
+0.0203328
+0.0219647
+0.023677
+0.0254266
+0.0271921
+0.0290155
+0.0308739
+0.0327252
+0.0345753
+0.036408
+0.0382783
+0.0523771
+0.0507872
+0.0492007
+0.0475685
+0.0459305
+0.0442947
+0.0426495
+0.0410539
+0.0395153
+0.0380126
+0.0364313
+0.0349153
+0.0334672
+0.031951
+0.0304661
+0.028939
+0.0274841
+0.0261306
+0.0247527
+0.0233359
+0.0218898
+0.0203698
+0.0189455
+0.0175181
+0.0161462
+0.0149622
+0.0138795
+0.0127383
+0.0114505
+0.0102351
+0.0092134
+0.00822553
+0.00755857
+0.00670049
+0.00606603
+0.00548089
+0.00523736
+0.005141
+0.00485021
+0.00467769
+0.00466566
+0.00462227
+0.00481841
+0.00508576
+0.00552299
+0.00630699
+0.0067981
+0.00723164
+0.00783383
+0.00864061
+0.00982432
+0.0112846
+0.0129147
+0.0146845
+0.0165554
+0.0184854
+0.0204588
+0.0218229
+0.0201757
+0.0186311
+0.0171926
+0.0155299
+0.0138525
+0.0123345
+0.0110261
+0.00958961
+0.00821288
+0.00708678
+0.00615312
+0.00525618
+0.00443056
+0.0035828
+0.00284877
+0.0024628
+0.00263603
+0.00332018
+0.00442059
+0.00588577
+0.0075535
+0.0082995
+0.00857226
+0.00906456
+0.0098858
+0.0108744
+0.0120941
+0.0133283
+0.0145924
+0.0159564
+0.0174484
+0.0190755
+0.0207629
+0.0224677
+0.0242507
+0.0260958
+0.0279292
+0.0297839
+0.0315908
+0.0334435
+0.035335
+0.0372576
+0.0510252
+0.049392
+0.0478033
+0.046226
+0.0446115
+0.0429725
+0.0413571
+0.0397139
+0.0381213
+0.0365906
+0.0351012
+0.0335254
+0.0320217
+0.0305918
+0.0290907
+0.0276219
+0.0261232
+0.0246953
+0.0233857
+0.0220452
+0.0206461
+0.0191793
+0.0176729
+0.0163094
+0.0149338
+0.0136539
+0.0126164
+0.0115193
+0.0104449
+0.00935391
+0.0082247
+0.00752644
+0.00682261
+0.00638099
+0.00581183
+0.00550358
+0.00552127
+0.0056584
+0.00573149
+0.00565129
+0.00565653
+0.00565752
+0.00582156
+0.00599068
+0.00640853
+0.00714409
+0.00824463
+0.00932827
+0.00989679
+0.0106346
+0.0116169
+0.0128988
+0.0143769
+0.0159976
+0.0177304
+0.0195554
+0.0214489
+0.0212497
+0.0195544
+0.0179665
+0.0164939
+0.0146509
+0.0128843
+0.011232
+0.00977662
+0.00860431
+0.00782443
+0.00761625
+0.00735131
+0.00660049
+0.00596626
+0.00527481
+0.00471132
+0.00448695
+0.00468989
+0.00532494
+0.00628524
+0.00750362
+0.00784251
+0.00751722
+0.00768784
+0.00809365
+0.00873558
+0.0096358
+0.0107421
+0.0118802
+0.0131719
+0.0146354
+0.0162248
+0.0178376
+0.019552
+0.0213536
+0.023176
+0.0250132
+0.026803
+0.0286304
+0.0305056
+0.0324196
+0.0343459
+0.0362235
+0.0497331
+0.048056
+0.0464217
+0.0448349
+0.0432686
+0.0416668
+0.0400356
+0.0384376
+0.0368018
+0.0352171
+0.0336969
+0.0322156
+0.0306554
+0.0291684
+0.0277644
+0.0262741
+0.0248298
+0.0233774
+0.0219894
+0.0207405
+0.0194311
+0.0180643
+0.0165821
+0.0151304
+0.0138657
+0.0125835
+0.0114611
+0.0104816
+0.00952968
+0.00861944
+0.00774489
+0.00698084
+0.00649193
+0.00619277
+0.0061027
+0.00611293
+0.00625694
+0.00658823
+0.0068007
+0.00700541
+0.00705084
+0.0069398
+0.00706741
+0.00728504
+0.00739211
+0.00795965
+0.00889921
+0.0100939
+0.011534
+0.0126937
+0.0135272
+0.0146438
+0.0159792
+0.0174713
+0.0190855
+0.0207918
+0.0224709
+0.0208652
+0.0191472
+0.0175225
+0.0159961
+0.0140608
+0.0122091
+0.0104507
+0.00886792
+0.0075713
+0.00667174
+0.00642137
+0.00676681
+0.00774042
+0.00773384
+0.00719138
+0.00674927
+0.0066016
+0.00679118
+0.00737006
+0.00820045
+0.00823077
+0.00741499
+0.00708867
+0.00692481
+0.00710058
+0.00759806
+0.00840951
+0.00940121
+0.0105498
+0.0119268
+0.0133943
+0.0149818
+0.016702
+0.0184988
+0.0202866
+0.0220537
+0.0238514
+0.0257025
+0.0276024
+0.0295162
+0.0314022
+0.0332606
+0.035153
+0.048467
+0.0467845
+0.0451041
+0.0434692
+0.0418852
+0.0403322
+0.038733
+0.037125
+0.0355456
+0.0339117
+0.0323438
+0.030843
+0.0293707
+0.0278343
+0.0263703
+0.0250012
+0.0235261
+0.0221193
+0.0207311
+0.0194013
+0.0182026
+0.0169571
+0.0155863
+0.0141808
+0.0128303
+0.0117044
+0.0105654
+0.00963409
+0.00873987
+0.00806055
+0.00739883
+0.00698643
+0.00661096
+0.00647257
+0.00660486
+0.00698823
+0.00732414
+0.00792713
+0.00825324
+0.00858372
+0.00861234
+0.00845066
+0.00858966
+0.00867187
+0.00863318
+0.00900454
+0.0097969
+0.0108631
+0.0121479
+0.0135606
+0.0150792
+0.0164946
+0.0176954
+0.0190652
+0.0205668
+0.0221762
+0.0218571
+0.0201915
+0.0186147
+0.0171428
+0.0156931
+0.0137972
+0.0119046
+0.0100932
+0.0084437
+0.0070697
+0.00609656
+0.00582151
+0.00620046
+0.00725052
+0.00873457
+0.00921468
+0.00885197
+0.00873664
+0.00892272
+0.00943351
+0.00944012
+0.00834734
+0.0075153
+0.00683224
+0.0064289
+0.0062433
+0.00661226
+0.00725055
+0.00818516
+0.00937005
+0.010706
+0.0122445
+0.013936
+0.0156562
+0.0173722
+0.0191098
+0.0209327
+0.0228188
+0.0247136
+0.0265805
+0.0284479
+0.0303242
+0.0322401
+0.0341849
+0.0472026
+0.0455337
+0.0438565
+0.0421733
+0.0405386
+0.0389585
+0.0374212
+0.0358268
+0.0342473
+0.0326759
+0.0310618
+0.0295051
+0.0280304
+0.0265825
+0.0250702
+0.0236472
+0.0223261
+0.0208764
+0.0195245
+0.0182278
+0.0169818
+0.0158409
+0.0145547
+0.013298
+0.0120692
+0.0108781
+0.00992185
+0.00905951
+0.00824226
+0.00772806
+0.0074014
+0.00710297
+0.00716178
+0.00727678
+0.00754217
+0.00804354
+0.00871192
+0.00930006
+0.00991068
+0.010156
+0.0100749
+0.00999195
+0.0101452
+0.0100696
+0.00991709
+0.010159
+0.0107853
+0.0116172
+0.0126909
+0.0140192
+0.0154932
+0.0170722
+0.0187173
+0.0204649
+0.0221546
+0.0231957
+0.0214503
+0.0197365
+0.0181201
+0.0166044
+0.015048
+0.0132719
+0.0115512
+0.00996174
+0.00849156
+0.00711334
+0.00614712
+0.00587182
+0.00624644
+0.00728989
+0.00876728
+0.0104796
+0.0109837
+0.0108885
+0.0110774
+0.0111843
+0.00994271
+0.00892371
+0.00795019
+0.00702656
+0.00613321
+0.00576751
+0.00570782
+0.0063234
+0.00710795
+0.00823685
+0.0096815
+0.0111986
+0.0128534
+0.0144709
+0.0162235
+0.018072
+0.0199372
+0.0217913
+0.02367
+0.0255219
+0.0274233
+0.0293534
+0.0312446
+0.0331699
+0.0459582
+0.044281
+0.0426237
+0.0409488
+0.0392681
+0.0376347
+0.0360605
+0.0345393
+0.0329557
+0.0314115
+0.0298517
+0.0282641
+0.026724
+0.0252784
+0.0238677
+0.0223897
+0.021028
+0.0197206
+0.0183514
+0.0170819
+0.0158417
+0.0146962
+0.0136362
+0.0124609
+0.0113705
+0.0103675
+0.00936119
+0.00872741
+0.00814448
+0.00770668
+0.00774006
+0.00769615
+0.00786849
+0.00828384
+0.00874827
+0.00933215
+0.0101261
+0.0108605
+0.0115104
+0.0114053
+0.0114777
+0.0116729
+0.0116439
+0.0111878
+0.0110504
+0.0111802
+0.0115535
+0.0122808
+0.0132995
+0.0145475
+0.0159124
+0.0174453
+0.0190582
+0.0207755
+0.0225749
+0.0230039
+0.0212152
+0.0194968
+0.0178659
+0.0163444
+0.0146979
+0.012868
+0.011076
+0.0094073
+0.00799466
+0.0069292
+0.00638514
+0.00656589
+0.00700091
+0.00794589
+0.00931987
+0.0107967
+0.0108064
+0.0111737
+0.0112903
+0.0116647
+0.0108053
+0.00973677
+0.00851533
+0.00724177
+0.00616719
+0.00532333
+0.00518223
+0.00537686
+0.00610811
+0.00721912
+0.00861698
+0.0100523
+0.0116713
+0.0134319
+0.0152148
+0.0170497
+0.0188975
+0.0207647
+0.0226417
+0.024546
+0.0264227
+0.0283369
+0.0302886
+0.0322709
+0.0447179
+0.0430541
+0.0413852
+0.0397372
+0.0380666
+0.0363947
+0.0347644
+0.0331986
+0.0316969
+0.0301295
+0.0286267
+0.0270702
+0.0255358
+0.0240207
+0.0226117
+0.0212322
+0.0198175
+0.0185289
+0.0172345
+0.0159325
+0.0147967
+0.0136696
+0.0126754
+0.0117394
+0.0107446
+0.0100051
+0.00919303
+0.00859548
+0.00829916
+0.00804971
+0.00823379
+0.00856401
+0.0088151
+0.00935207
+0.0100152
+0.010812
+0.0115727
+0.0124517
+0.012803
+0.0128989
+0.0129709
+0.0132731
+0.0128484
+0.012342
+0.012082
+0.0120923
+0.0124472
+0.0131252
+0.0140829
+0.0152578
+0.0165542
+0.0179944
+0.0195621
+0.0212403
+0.022983
+0.0229859
+0.0211957
+0.0194755
+0.0178427
+0.0163339
+0.0146413
+0.0127632
+0.0109823
+0.00930623
+0.00787687
+0.0067678
+0.00620962
+0.00639474
+0.00714648
+0.00841221
+0.0100028
+0.0100995
+0.0101093
+0.0102635
+0.01018
+0.0105057
+0.0112564
+0.0104304
+0.00899646
+0.00750352
+0.00623023
+0.00542064
+0.00476662
+0.0048118
+0.00533479
+0.00621584
+0.00745353
+0.00903635
+0.0106525
+0.0124157
+0.0141943
+0.0160718
+0.0179233
+0.0197828
+0.021635
+0.023531
+0.0254741
+0.0274545
+0.0294647
+0.0313732
+0.0435121
+0.0418325
+0.0401752
+0.0385208
+0.036875
+0.0352211
+0.0335614
+0.0319367
+0.0303831
+0.0289071
+0.0273622
+0.0258871
+0.0243612
+0.0229019
+0.0214245
+0.0200488
+0.0187332
+0.0173772
+0.0161911
+0.0149253
+0.013758
+0.0128037
+0.0118668
+0.0110294
+0.0102486
+0.00959144
+0.00913349
+0.00877014
+0.00868139
+0.00867779
+0.00889811
+0.00949165
+0.0100607
+0.0105849
+0.0113987
+0.0122684
+0.0131424
+0.0139423
+0.0141348
+0.0144111
+0.0146347
+0.0144263
+0.0139302
+0.0133587
+0.013103
+0.0131002
+0.0134202
+0.01402
+0.0148836
+0.0159467
+0.017199
+0.0186182
+0.0201257
+0.0216916
+0.0233463
+0.0231759
+0.0214016
+0.0196994
+0.0180868
+0.0165883
+0.0148754
+0.0130312
+0.011291
+0.00966431
+0.00829555
+0.00726051
+0.00674324
+0.00691408
+0.00761473
+0.00881347
+0.0097128
+0.00931752
+0.00926567
+0.00918708
+0.0090937
+0.00945692
+0.0102844
+0.0111736
+0.00948938
+0.00798856
+0.00668993
+0.00551713
+0.00477324
+0.00433192
+0.00445626
+0.00529724
+0.00648808
+0.00799167
+0.00965569
+0.0114657
+0.0133022
+0.0150898
+0.016885
+0.0187645
+0.020699
+0.0226732
+0.0246673
+0.0265493
+0.0284735
+0.0304337
+0.0423671
+0.0406473
+0.0389746
+0.0373279
+0.0356929
+0.0340438
+0.0324088
+0.0307791
+0.029164
+0.0276282
+0.0261823
+0.0246721
+0.0232366
+0.0217547
+0.020368
+0.0189795
+0.0176542
+0.0164078
+0.0151788
+0.0141231
+0.0129404
+0.0119621
+0.0112198
+0.0104977
+0.0098083
+0.00939359
+0.00919387
+0.00906742
+0.00916476
+0.00946966
+0.00993307
+0.0105523
+0.0113025
+0.0120264
+0.0128649
+0.0137922
+0.0147984
+0.0152092
+0.0154113
+0.0158906
+0.0158372
+0.0156511
+0.0149853
+0.014437
+0.0142008
+0.0141882
+0.0144925
+0.0149901
+0.0157466
+0.0167389
+0.0179136
+0.0191937
+0.0206276
+0.0221533
+0.0237759
+0.0232362
+0.0215345
+0.0198196
+0.0180928
+0.0164318
+0.0147705
+0.0132437
+0.0119019
+0.0104531
+0.00916555
+0.00824342
+0.00780854
+0.0079464
+0.00859101
+0.00967299
+0.00941136
+0.00893674
+0.00884479
+0.00854351
+0.00844557
+0.00883548
+0.00971607
+0.0109698
+0.0102483
+0.00864952
+0.00702344
+0.00570249
+0.00454985
+0.00391522
+0.00382493
+0.00438554
+0.00556106
+0.00714993
+0.00880901
+0.0105028
+0.0122401
+0.0140641
+0.0159751
+0.0179377
+0.0198395
+0.0217588
+0.0236669
+0.0256203
+0.0276093
+0.0296268
+0.0412964
+0.0395407
+0.0378192
+0.0361484
+0.0345201
+0.0328993
+0.0312597
+0.0296521
+0.028041
+0.0264635
+0.0249509
+0.023524
+0.0220838
+0.0207083
+0.0192859
+0.0179455
+0.0167303
+0.0154781
+0.0143545
+0.0133391
+0.0122927
+0.0113418
+0.0106936
+0.010174
+0.0097126
+0.00940024
+0.00942912
+0.00954533
+0.00982384
+0.010362
+0.0109927
+0.0117346
+0.0126247
+0.0135013
+0.0143631
+0.0153666
+0.0162915
+0.0165356
+0.0168189
+0.0172821
+0.0170503
+0.0169573
+0.0161869
+0.015677
+0.0154461
+0.0154042
+0.0156238
+0.0160884
+0.0167549
+0.0175983
+0.018642
+0.0198734
+0.021245
+0.0227031
+0.0241852
+0.0233582
+0.0216662
+0.0198833
+0.0181526
+0.0164354
+0.014771
+0.0132237
+0.0118783
+0.0107924
+0.0100585
+0.00960255
+0.00923192
+0.00934882
+0.00990255
+0.00983766
+0.00902874
+0.00868791
+0.00880313
+0.00833216
+0.00823418
+0.00863364
+0.00953289
+0.0108079
+0.0108918
+0.00914669
+0.0074715
+0.00598415
+0.00469954
+0.00372207
+0.00338631
+0.00386203
+0.00491127
+0.006305
+0.00781411
+0.00950795
+0.0113339
+0.013185
+0.0150573
+0.0169644
+0.0189076
+0.020846
+0.0228276
+0.0248419
+0.0268286
+0.028814
+0.0402057
+0.0384844
+0.0367526
+0.0350368
+0.0333706
+0.0317663
+0.0301653
+0.0285403
+0.0269696
+0.0253779
+0.0238567
+0.0223601
+0.0209858
+0.0196206
+0.0183114
+0.017022
+0.0157548
+0.0146781
+0.0135971
+0.012617
+0.0117708
+0.0109626
+0.0103553
+0.0100527
+0.00984722
+0.00974725
+0.00987732
+0.0103458
+0.0107023
+0.0113522
+0.0121506
+0.0130247
+0.0139384
+0.0149269
+0.0159271
+0.016934
+0.0175125
+0.0178269
+0.0182575
+0.0186141
+0.0183729
+0.0181087
+0.0173235
+0.0167648
+0.0164492
+0.0163884
+0.0165758
+0.0169071
+0.0174727
+0.018283
+0.0192837
+0.0204491
+0.0217406
+0.0231199
+0.0245641
+0.023489
+0.0219624
+0.0201723
+0.0184344
+0.0167037
+0.0150365
+0.0135176
+0.0122046
+0.0111506
+0.0104419
+0.010165
+0.0102905
+0.0108411
+0.010503
+0.00957303
+0.00873966
+0.00836479
+0.0083947
+0.00819817
+0.00838269
+0.00897469
+0.00984283
+0.0110822
+0.0116103
+0.00982375
+0.00811951
+0.00653758
+0.0050595
+0.00385243
+0.00325944
+0.00339181
+0.00412572
+0.00533896
+0.0069208
+0.00859772
+0.0103403
+0.0122196
+0.0141574
+0.0161021
+0.0180424
+0.0200085
+0.022017
+0.0240004
+0.0260053
+0.0280379
+0.039198
+0.0374304
+0.0357097
+0.0340117
+0.0323109
+0.0306541
+0.0290667
+0.0275018
+0.0259062
+0.0243725
+0.0228242
+0.0213582
+0.0199148
+0.0186179
+0.0173431
+0.0161469
+0.0149643
+0.0138587
+0.0129539
+0.0120495
+0.0113571
+0.0107822
+0.0102816
+0.00992742
+0.00992976
+0.0102176
+0.0105499
+0.0111039
+0.0117732
+0.0124565
+0.0133357
+0.0142949
+0.015307
+0.0163895
+0.0174698
+0.0185268
+0.018798
+0.0191965
+0.019713
+0.0197015
+0.0195694
+0.0192308
+0.0184437
+0.0178497
+0.0175007
+0.0174216
+0.0175491
+0.0178422
+0.0183589
+0.0191122
+0.0200322
+0.0210823
+0.0221857
+0.0233009
+0.024431
+0.0234259
+0.0221502
+0.0206612
+0.0189195
+0.0172183
+0.0156061
+0.0141485
+0.0129
+0.0119077
+0.0112468
+0.0109902
+0.0111058
+0.0107954
+0.00991722
+0.00889152
+0.00832856
+0.00830996
+0.00815127
+0.00783657
+0.00807588
+0.00869963
+0.00976694
+0.0111227
+0.0123008
+0.0104468
+0.00866479
+0.00695694
+0.00542805
+0.00415172
+0.00314364
+0.00277619
+0.00346004
+0.00442069
+0.00583894
+0.00761166
+0.00946232
+0.0113658
+0.013257
+0.0152106
+0.0172189
+0.0192298
+0.0212147
+0.0232128
+0.02517
+0.0271579
+0.038268
+0.0364776
+0.0347097
+0.0329926
+0.0313346
+0.0296469
+0.0280121
+0.026446
+0.0249351
+0.0233861
+0.021895
+0.0204218
+0.0190367
+0.0176755
+0.0164939
+0.0153557
+0.0143247
+0.0132557
+0.0123826
+0.0116587
+0.011045
+0.0106879
+0.0103935
+0.0102563
+0.010342
+0.010676
+0.0112983
+0.011989
+0.0128415
+0.0137107
+0.0146063
+0.015678
+0.0167354
+0.0178331
+0.0190244
+0.019994
+0.0201786
+0.0205713
+0.0211644
+0.0208973
+0.0207938
+0.020108
+0.0193559
+0.0187908
+0.0184596
+0.0183453
+0.0184308
+0.0187734
+0.0191311
+0.0197005
+0.0204562
+0.0211342
+0.0219408
+0.022766
+0.0236089
+0.0235671
+0.0222979
+0.0210821
+0.0196215
+0.0179868
+0.0164501
+0.0150744
+0.0138941
+0.0129671
+0.0123629
+0.0121082
+0.0112414
+0.010366
+0.00959135
+0.00852653
+0.00792517
+0.007778
+0.00774281
+0.00773099
+0.00824896
+0.008866
+0.00991542
+0.0112533
+0.012828
+0.0111045
+0.00929641
+0.00767133
+0.00592562
+0.00437932
+0.00305122
+0.00254072
+0.00256465
+0.00353387
+0.00507056
+0.00682647
+0.00859989
+0.0105052
+0.0124849
+0.0144546
+0.0164001
+0.0183994
+0.0203593
+0.0223457
+0.0243671
+0.0264155
+0.0373795
+0.0355797
+0.0338
+0.0320576
+0.0303486
+0.028705
+0.0270736
+0.0254714
+0.0239395
+0.0225025
+0.021021
+0.019595
+0.0182209
+0.0169268
+0.0157302
+0.0147195
+0.0137119
+0.0127496
+0.0119958
+0.0113538
+0.0110009
+0.0108058
+0.0106754
+0.0107874
+0.0110084
+0.0114744
+0.0120893
+0.0129786
+0.0138947
+0.0149131
+0.0160024
+0.017026
+0.0182193
+0.0193334
+0.0205109
+0.0212865
+0.0216574
+0.0220353
+0.0221426
+0.0220644
+0.022062
+0.0211236
+0.0203638
+0.0198182
+0.0194042
+0.0190489
+0.0189284
+0.0190197
+0.01936
+0.0197812
+0.0203038
+0.0207321
+0.0212064
+0.0216818
+0.0220661
+0.0225163
+0.0226155
+0.0214177
+0.020383
+0.0189784
+0.0175288
+0.0162294
+0.0151292
+0.0139606
+0.0127628
+0.0117198
+0.0107313
+0.0100579
+0.00882268
+0.00798373
+0.00757298
+0.00718204
+0.00688095
+0.00718298
+0.00791468
+0.00886905
+0.0102116
+0.0117965
+0.0133071
+0.0119618
+0.010048
+0.00822369
+0.0063814
+0.00469018
+0.00331924
+0.00256579
+0.00231531
+0.00292483
+0.00431391
+0.00602527
+0.0079222
+0.00974386
+0.0116556
+0.0136467
+0.0156033
+0.0175811
+0.0196042
+0.0216536
+0.0236582
+0.0256932
+0.0364925
+0.0347264
+0.0329627
+0.0311882
+0.029469
+0.0277985
+0.0261782
+0.0245757
+0.0230541
+0.0215731
+0.0202214
+0.018818
+0.017514
+0.0162689
+0.0151013
+0.0141781
+0.0132531
+0.0124978
+0.0117261
+0.0113293
+0.0110787
+0.0109761
+0.01113
+0.0114489
+0.0118188
+0.0124398
+0.0131582
+0.0140047
+0.0150593
+0.016105
+0.017259
+0.0184793
+0.0196372
+0.0208649
+0.0220608
+0.0226356
+0.0230417
+0.0231921
+0.0230046
+0.0230249
+0.022772
+0.021765
+0.0209145
+0.0202463
+0.0197792
+0.0195045
+0.0194036
+0.0194221
+0.0195666
+0.0196494
+0.0197142
+0.019982
+0.0199332
+0.0201134
+0.0204732
+0.0209317
+0.0216037
+0.0219676
+0.0209625
+0.0197653
+0.0180191
+0.0163584
+0.0148358
+0.0134983
+0.0122814
+0.0112492
+0.0104335
+0.0094265
+0.00839218
+0.00749383
+0.00705461
+0.00638939
+0.00596614
+0.0063121
+0.00723182
+0.00859594
+0.0102508
+0.0119602
+0.0137061
+0.0126441
+0.0106758
+0.00874887
+0.00695417
+0.0052275
+0.00371885
+0.00256109
+0.00219927
+0.00266479
+0.00376942
+0.00527321
+0.00710071
+0.00896052
+0.0109304
+0.0129171
+0.0148794
+0.0168606
+0.0188659
+0.0209083
+0.0229781
+0.0250684
+0.0356167
+0.0338785
+0.0321393
+0.0303967
+0.0286735
+0.026972
+0.0253376
+0.0237727
+0.0222073
+0.0207555
+0.0193816
+0.0181315
+0.0168156
+0.0156617
+0.0146692
+0.0136707
+0.0129446
+0.0122347
+0.0118048
+0.0114203
+0.0112318
+0.0113176
+0.0115548
+0.0120368
+0.0127247
+0.013382
+0.0142485
+0.015222
+0.0162228
+0.0174146
+0.0185592
+0.019808
+0.0211207
+0.0223411
+0.0234003
+0.0238317
+0.0243095
+0.0240182
+0.0238714
+0.0238909
+0.0232992
+0.0223161
+0.0214874
+0.0208375
+0.020384
+0.0200925
+0.0198578
+0.0195309
+0.0191971
+0.0190933
+0.0187649
+0.0184931
+0.0184651
+0.0186201
+0.0189259
+0.019465
+0.0201791
+0.0209273
+0.0205489
+0.0188972
+0.0173652
+0.0159547
+0.014518
+0.0131559
+0.0119055
+0.0108358
+0.0099327
+0.00863427
+0.00763023
+0.00694527
+0.00636732
+0.00601858
+0.00565092
+0.00601503
+0.00695214
+0.00836201
+0.0100537
+0.0118799
+0.0138122
+0.0132886
+0.011333
+0.00941461
+0.00748679
+0.0056479
+0.0039893
+0.00272387
+0.00223999
+0.00224704
+0.00317467
+0.00461901
+0.00639
+0.00826352
+0.0101744
+0.0121244
+0.0141386
+0.0161915
+0.0182702
+0.0203562
+0.0224366
+0.0245356
+0.0347971
+0.0330468
+0.0313304
+0.0296443
+0.0279213
+0.0262662
+0.0246036
+0.0230073
+0.0215158
+0.020039
+0.0186724
+0.0174441
+0.0163212
+0.0151531
+0.0141812
+0.0134227
+0.0126899
+0.0121781
+0.0118165
+0.0116712
+0.0115727
+0.0117669
+0.012193
+0.0127829
+0.0135448
+0.0144948
+0.0153609
+0.0164055
+0.0175313
+0.0186884
+0.0199661
+0.0211781
+0.0224689
+0.0238723
+0.0246842
+0.0251165
+0.0251818
+0.024928
+0.0248216
+0.024849
+0.0240155
+0.0230629
+0.022262
+0.0216354
+0.0210968
+0.0204671
+0.0196913
+0.0191108
+0.0187146
+0.0180016
+0.0174451
+0.0170712
+0.0168917
+0.0169893
+0.017317
+0.0178538
+0.0184617
+0.019228
+0.0196493
+0.0180559
+0.0164458
+0.0149836
+0.0137168
+0.0125152
+0.0114523
+0.010434
+0.00951583
+0.00833402
+0.00723371
+0.00645868
+0.00563339
+0.00513922
+0.00533137
+0.00619356
+0.00724706
+0.00860876
+0.0102598
+0.0120548
+0.013963
+0.0139285
+0.0119235
+0.00997576
+0.00798451
+0.0060852
+0.00433522
+0.00291144
+0.00201151
+0.0021289
+0.00255515
+0.00384402
+0.00564102
+0.00758095
+0.00950819
+0.0115109
+0.0135351
+0.0156013
+0.0176943
+0.0197458
+0.0218243
+0.0239199
+0.0340263
+0.0323107
+0.030575
+0.0288804
+0.0272356
+0.0255736
+0.0239578
+0.0224115
+0.0208775
+0.0194491
+0.0181374
+0.0168787
+0.0158226
+0.0147925
+0.0139192
+0.013185
+0.012668
+0.0123308
+0.0120824
+0.0120167
+0.0121331
+0.0124095
+0.0128936
+0.0136342
+0.0144633
+0.0154633
+0.0165696
+0.0176597
+0.0187862
+0.0200206
+0.0212855
+0.0226217
+0.023885
+0.0252276
+0.0259468
+0.026257
+0.0261598
+0.0252476
+0.024438
+0.0237024
+0.0228491
+0.0221029
+0.0215462
+0.0211694
+0.021009
+0.0202818
+0.019426
+0.0185937
+0.017615
+0.0167064
+0.0160194
+0.0155765
+0.0153795
+0.0154693
+0.0157664
+0.0161863
+0.0168544
+0.0172398
+0.017704
+0.017188
+0.0155478
+0.0140583
+0.0127725
+0.0117367
+0.0108394
+0.00991256
+0.00874578
+0.00755422
+0.00680044
+0.00562314
+0.00474982
+0.00472383
+0.00505013
+0.00595276
+0.00740608
+0.0091179
+0.0109087
+0.0126137
+0.0144482
+0.0145365
+0.0124853
+0.0104843
+0.00854988
+0.00665946
+0.00489207
+0.00327496
+0.00197088
+0.00177167
+0.00198965
+0.00318295
+0.00492963
+0.00687954
+0.00889806
+0.0108811
+0.0129145
+0.0149798
+0.0170668
+0.0191538
+0.02126
+0.0233485
+0.033254
+0.031559
+0.0299102
+0.0282124
+0.0265585
+0.0249611
+0.023393
+0.0218298
+0.0203503
+0.0189935
+0.017673
+0.0164936
+0.0154803
+0.0145609
+0.0137669
+0.0131634
+0.0128
+0.0125812
+0.0125054
+0.0126306
+0.0128288
+0.0132345
+0.013804
+0.0145522
+0.015516
+0.0165421
+0.0176926
+0.0188889
+0.0201487
+0.0213487
+0.0226554
+0.0239965
+0.0253777
+0.0261579
+0.02586
+0.0255149
+0.0245128
+0.0234999
+0.022638
+0.0219512
+0.0210349
+0.0202441
+0.0196325
+0.0192112
+0.0190342
+0.019032
+0.018818
+0.0175872
+0.0164357
+0.0154582
+0.014727
+0.0142439
+0.0140282
+0.0140348
+0.0141921
+0.0146571
+0.0150381
+0.0153018
+0.015823
+0.0158242
+0.0146722
+0.0132839
+0.0119148
+0.0107971
+0.00996424
+0.00937381
+0.00840268
+0.00712727
+0.00623333
+0.00475169
+0.00376743
+0.00374944
+0.00468808
+0.00626267
+0.00773705
+0.00939755
+0.0112289
+0.0131704
+0.01518
+0.015172
+0.0131711
+0.0111831
+0.00921208
+0.00721701
+0.00529597
+0.0035234
+0.00213593
+0.00153893
+0.00159709
+0.0026802
+0.00430697
+0.00620989
+0.00825176
+0.01027
+0.0123328
+0.0144328
+0.0164753
+0.0185493
+0.0206365
+0.0227428
+0.0325476
+0.0308504
+0.0291978
+0.0275958
+0.0259971
+0.0244026
+0.0228666
+0.0213931
+0.0199279
+0.018555
+0.0173433
+0.0162632
+0.0152566
+0.0144101
+0.0137283
+0.0133114
+0.0130285
+0.0129437
+0.0130217
+0.013291
+0.013653
+0.0142246
+0.0148498
+0.0156654
+0.0166197
+0.0177327
+0.0188792
+0.0201112
+0.0213983
+0.022768
+0.0240365
+0.0253951
+0.0258739
+0.0257482
+0.0251778
+0.0239722
+0.0228622
+0.0218104
+0.020886
+0.0201438
+0.019299
+0.0184478
+0.0177706
+0.017304
+0.0171068
+0.0170809
+0.0173247
+0.0166245
+0.0154182
+0.0143862
+0.0136155
+0.0131188
+0.0127238
+0.0126257
+0.0128003
+0.0131953
+0.0131527
+0.0134372
+0.0140278
+0.0144791
+0.0132139
+0.0122096
+0.0112093
+0.0101424
+0.00931227
+0.00863055
+0.00771907
+0.00672516
+0.00553615
+0.00450819
+0.00355877
+0.00357875
+0.00460493
+0.00620839
+0.00808611
+0.0100491
+0.0118536
+0.0137069
+0.0156477
+0.0157609
+0.0136681
+0.0115835
+0.00954663
+0.00758141
+0.00570083
+0.00381038
+0.00224889
+0.00140221
+0.00121979
+0.00212861
+0.00378531
+0.00568291
+0.00765112
+0.00965593
+0.0117097
+0.0137962
+0.0159038
+0.0180305
+0.0201704
+0.0223151
+0.0318628
+0.0302256
+0.0285744
+0.026982
+0.02543
+0.0239779
+0.0224545
+0.0210123
+0.0196358
+0.0183491
+0.0171244
+0.0160919
+0.0152191
+0.0145074
+0.0138586
+0.0134797
+0.0133742
+0.0133856
+0.0136585
+0.014024
+0.0145306
+0.0151679
+0.0159791
+0.0168259
+0.0178408
+0.018945
+0.0201551
+0.021388
+0.0226948
+0.0240454
+0.025456
+0.0256473
+0.0253675
+0.0252069
+0.0237929
+0.0224615
+0.0212729
+0.0202121
+0.0192009
+0.0183775
+0.0176645
+0.0167227
+0.0159857
+0.0154722
+0.0152241
+0.0151953
+0.0154589
+0.015805
+0.0145304
+0.0134836
+0.0125704
+0.0119139
+0.0115438
+0.0113603
+0.0114807
+0.0114264
+0.0113685
+0.0116569
+0.0122788
+0.0130774
+0.0119756
+0.0108594
+0.0100502
+0.00935862
+0.00857851
+0.00800772
+0.00707405
+0.00604823
+0.00489243
+0.00407183
+0.00415625
+0.00433916
+0.00532229
+0.00677127
+0.00852591
+0.0104466
+0.0124403
+0.0144868
+0.0163972
+0.0162094
+0.0141601
+0.012154
+0.0100546
+0.00800002
+0.00599275
+0.00404933
+0.00232496
+0.00126908
+0.00114335
+0.00165186
+0.00314711
+0.0050412
+0.0070652
+0.00916616
+0.0112896
+0.0134204
+0.015543
+0.0176019
+0.0196893
+0.021797
+0.0311554
+0.0295527
+0.0280029
+0.0264437
+0.024907
+0.0234516
+0.02211
+0.0207459
+0.0194311
+0.0182006
+0.0170911
+0.0160688
+0.0152575
+0.0146066
+0.0141048
+0.0138432
+0.0137772
+0.0139745
+0.0143288
+0.0149068
+0.0154835
+0.0162126
+0.0170679
+0.0180496
+0.0190938
+0.0202205
+0.0214581
+0.0227421
+0.0240347
+0.0253919
+0.0255633
+0.0253233
+0.0250399
+0.0239742
+0.0224846
+0.0210707
+0.0197988
+0.0186461
+0.0175889
+0.0166936
+0.0160091
+0.0151057
+0.0142989
+0.0137378
+0.0134208
+0.0133925
+0.0136898
+0.0140913
+0.0137657
+0.012577
+0.0115791
+0.0108802
+0.0103085
+0.0100242
+0.0101322
+0.00969751
+0.00964037
+0.00995811
+0.0104793
+0.0111575
+0.0103601
+0.00904418
+0.00811552
+0.00767114
+0.00752522
+0.00677249
+0.00605996
+0.00493136
+0.0036749
+0.00326739
+0.00397928
+0.00522764
+0.00657834
+0.00786703
+0.00943738
+0.0112086
+0.0131021
+0.0150589
+0.0170726
+0.0167268
+0.0146252
+0.0125541
+0.0105129
+0.00845659
+0.006414
+0.00449137
+0.00280877
+0.00149786
+0.00102912
+0.00127995
+0.00276913
+0.00468037
+0.00667858
+0.00875251
+0.0108318
+0.0128984
+0.0150002
+0.0171243
+0.0192622
+0.0214053
+0.0305456
+0.028941
+0.0273984
+0.0259263
+0.0245048
+0.0230509
+0.0217046
+0.0204908
+0.0193486
+0.0181812
+0.0171287
+0.0162237
+0.0154738
+0.0149049
+0.0144484
+0.014274
+0.014317
+0.0146003
+0.015056
+0.0157164
+0.0164816
+0.0173013
+0.0182217
+0.0192649
+0.0203781
+0.021555
+0.022768
+0.0241077
+0.0254311
+0.0257213
+0.0254642
+0.0251864
+0.024473
+0.022835
+0.0212966
+0.0198207
+0.0184626
+0.0172031
+0.0160802
+0.0151317
+0.0143907
+0.0135822
+0.0126659
+0.0120508
+0.0117443
+0.011712
+0.0119476
+0.0121875
+0.0118885
+0.0117291
+0.0108881
+0.00997449
+0.00931464
+0.00901023
+0.00859143
+0.00805913
+0.00800027
+0.00817621
+0.00880353
+0.00934091
+0.00871851
+0.00734915
+0.00617046
+0.00560366
+0.00572789
+0.00539649
+0.00508066
+0.00401201
+0.00309383
+0.00263061
+0.0034643
+0.00506815
+0.00694117
+0.00874416
+0.0103445
+0.012125
+0.0140221
+0.0158914
+0.0178261
+0.0172215
+0.0151136
+0.0130271
+0.0109311
+0.00886662
+0.00684456
+0.00492494
+0.00313582
+0.00165577
+0.000876593
+0.00107405
+0.00237257
+0.00418283
+0.00619405
+0.00829038
+0.0104256
+0.0125374
+0.0146371
+0.0167591
+0.0188968
+0.0210454
+0.0300702
+0.0284541
+0.0269016
+0.0254249
+0.0240309
+0.0227498
+0.0214683
+0.0202513
+0.0191588
+0.0182313
+0.0173779
+0.0164893
+0.0158165
+0.0152848
+0.0150372
+0.0149248
+0.0150286
+0.0153915
+0.0159805
+0.016641
+0.0174365
+0.018392
+0.0194446
+0.0205039
+0.0216442
+0.0228669
+0.0241409
+0.0254266
+0.0261747
+0.0258095
+0.0255532
+0.0252396
+0.0235627
+0.0218566
+0.020244
+0.0186988
+0.0172642
+0.015907
+0.0146747
+0.0136106
+0.0127506
+0.0119527
+0.0111872
+0.0104961
+0.0101687
+0.0101355
+0.010183
+0.0100808
+0.00974863
+0.00957631
+0.00939758
+0.00931342
+0.00866443
+0.00795759
+0.00717216
+0.00670603
+0.00644682
+0.00659014
+0.00714488
+0.00757397
+0.00671957
+0.00595159
+0.00445934
+0.00364775
+0.00383777
+0.00404906
+0.00349215
+0.00273785
+0.00220402
+0.00258074
+0.00373433
+0.0052705
+0.00703472
+0.00874833
+0.0104686
+0.0123145
+0.0142584
+0.0162651
+0.0183141
+0.0176529
+0.0155554
+0.0134876
+0.0114551
+0.00945936
+0.00745392
+0.00543285
+0.00352447
+0.00198259
+0.000872201
+0.00100227
+0.00203954
+0.0038402
+0.00585276
+0.00791101
+0.0100027
+0.0121293
+0.0142695
+0.0163996
+0.0185436
+0.0206973
+0.0297013
+0.0280969
+0.0265541
+0.0250569
+0.0236681
+0.0223802
+0.0212259
+0.020168
+0.0191275
+0.0181971
+0.0174455
+0.016844
+0.0162556
+0.0158677
+0.0156588
+0.0157037
+0.0159214
+0.0162944
+0.0169066
+0.0176249
+0.0184892
+0.0195001
+0.0205785
+0.0217177
+0.0229441
+0.0241845
+0.0254715
+0.0268008
+0.0264349
+0.0260743
+0.0258284
+0.0246608
+0.0228269
+0.0210613
+0.019342
+0.0177255
+0.0162039
+0.0147356
+0.0133708
+0.0122084
+0.0112178
+0.0103418
+0.00957266
+0.00892971
+0.00856423
+0.00848465
+0.00845538
+0.00801916
+0.00763767
+0.00741647
+0.00723374
+0.00755326
+0.00792457
+0.00686411
+0.00598949
+0.00535163
+0.00495299
+0.00521734
+0.00566258
+0.0057518
+0.00488784
+0.00388003
+0.00321944
+0.00200833
+0.00228016
+0.00186659
+0.00217524
+0.0014076
+0.00193814
+0.00277504
+0.00395926
+0.00550944
+0.00724023
+0.00901244
+0.010859
+0.0126579
+0.014556
+0.0165266
+0.0185467
+0.0182392
+0.0161272
+0.0139986
+0.0118537
+0.00972914
+0.00764203
+0.00563413
+0.00372003
+0.00209794
+0.000942734
+0.000813145
+0.00169826
+0.00344767
+0.00547697
+0.007557
+0.00967654
+0.0118221
+0.013953
+0.0160766
+0.018215
+0.0203645
+0.0293808
+0.0278234
+0.0263036
+0.0248458
+0.0234669
+0.0221972
+0.0210409
+0.0200496
+0.0191779
+0.0183527
+0.0176458
+0.0171518
+0.0168064
+0.0164866
+0.0163833
+0.0165207
+0.0168606
+0.0173382
+0.0179146
+0.0186944
+0.0195806
+0.0206046
+0.0217251
+0.0229526
+0.0241748
+0.0254713
+0.0268109
+0.0273717
+0.0268455
+0.0264906
+0.0259279
+0.0240383
+0.0222041
+0.0204144
+0.0186259
+0.0169271
+0.0153298
+0.013744
+0.012274
+0.0109633
+0.00976208
+0.00875445
+0.00804753
+0.00731008
+0.00693864
+0.00676418
+0.00632786
+0.00604898
+0.00558845
+0.00528212
+0.00509293
+0.00553738
+0.00595875
+0.00620157
+0.00528186
+0.00428455
+0.00388093
+0.00405894
+0.00367901
+0.00375772
+0.00338246
+0.00184513
+0.00156055
+0.000998411
+0.00114549
+-0.000106525
+0.00103373
+0.00174082
+0.0023314
+0.00352678
+0.00473311
+0.0061594
+0.00778927
+0.00955269
+0.0113777
+0.0133044
+0.0151422
+0.0170636
+0.0190304
+0.0185619
+0.0164286
+0.0143125
+0.0122172
+0.0100929
+0.00799933
+0.00597586
+0.00402265
+0.00230328
+0.00110725
+0.00086548
+0.00153742
+0.00318522
+0.00516481
+0.00726504
+0.00940177
+0.0115295
+0.0136771
+0.0158181
+0.0179547
+0.0201028
+0.0291245
+0.0276372
+0.0261779
+0.0247693
+0.0234069
+0.0221542
+0.0210317
+0.0200411
+0.0192486
+0.0186149
+0.0180281
+0.0176298
+0.0174132
+0.0172666
+0.0172157
+0.0173678
+0.0177686
+0.018332
+0.0190409
+0.0198413
+0.0207668
+0.021789
+0.0229305
+0.0241388
+0.0254052
+0.0267431
+0.0280969
+0.0279364
+0.0274256
+0.0270705
+0.0254481
+0.02352
+0.0216419
+0.0198281
+0.0180802
+0.0163442
+0.0146199
+0.0129256
+0.0113662
+0.00990234
+0.00853979
+0.00739268
+0.00645569
+0.00569532
+0.00516074
+0.00484158
+0.0042331
+0.00396413
+0.00365406
+0.00322121
+0.00299968
+0.00356489
+0.00414513
+0.0048422
+0.00436055
+0.00382716
+0.00317622
+0.00255052
+0.00188141
+0.00169161
+0.00139832
+0.000589421
+-0.000586451
+-0.000737974
+8.3048e-05
+-0.000370206
+0.00136841
+0.00259817
+0.00364181
+0.00463666
+0.005809
+0.0071136
+0.00859571
+0.0100825
+0.0113967
+0.0129228
+0.0146124
+0.016406
+0.0182796
+0.0189334
+0.0167985
+0.0146769
+0.012569
+0.0104835
+0.00839214
+0.00636793
+0.00441174
+0.0027043
+0.00153097
+0.00102063
+0.00142065
+0.00298522
+0.00490213
+0.00697252
+0.00909941
+0.0112272
+0.0133613
+0.0155111
+0.0176398
+0.0197449
+0.0290008
+0.0275089
+0.0261016
+0.0248025
+0.0235288
+0.0223022
+0.0212133
+0.0202313
+0.0194466
+0.0188469
+0.0184683
+0.0181551
+0.0179964
+0.0180387
+0.018103
+0.0183839
+0.0187914
+0.0193243
+0.020075
+0.0209932
+0.0219767
+0.0230367
+0.0241617
+0.0253957
+0.0266609
+0.0279861
+0.0291929
+0.0286033
+0.0281329
+0.0271262
+0.0251359
+0.0231818
+0.0212739
+0.0194193
+0.017595
+0.0158037
+0.0139745
+0.0122139
+0.0105824
+0.00907509
+0.00758131
+0.00620655
+0.00494173
+0.00400832
+0.00341328
+0.00291959
+0.00216969
+0.00180741
+0.00167736
+0.00123494
+0.00103188
+0.00147595
+0.00212382
+0.00306084
+0.00230847
+0.00198677
+0.0018308
+0.000970789
+4.91873e-05
+-0.000399311
+-0.000538772
+-0.000942936
+-0.00192243
+-0.00278103
+-0.00162273
+-0.000862886
+0.000564151
+0.00258109
+0.00447489
+0.00544045
+0.00599351
+0.00680844
+0.00754252
+0.00871728
+0.0101676
+0.0118267
+0.0136348
+0.0155417
+0.017508
+0.0193632
+0.0172279
+0.0151085
+0.013011
+0.0109293
+0.00888288
+0.00690187
+0.00494368
+0.00313259
+0.00175956
+0.00108491
+0.00122367
+0.00275995
+0.00471974
+0.00680989
+0.00892738
+0.0110039
+0.0130988
+0.0152038
+0.017328
+0.0194668
+0.0289214
+0.0275477
+0.0261378
+0.0248406
+0.0236674
+0.0225238
+0.0215207
+0.0206307
+0.0198617
+0.0192993
+0.0189297
+0.0187768
+0.0187138
+0.0187673
+0.0190394
+0.0193768
+0.0198758
+0.0204749
+0.0211972
+0.0220987
+0.023123
+0.0242361
+0.0254369
+0.0266834
+0.0279764
+0.0292937
+0.0300158
+0.0294139
+0.0289567
+0.0269992
+0.0249988
+0.0230331
+0.0211117
+0.019202
+0.0173028
+0.0154807
+0.0135752
+0.0117435
+0.00997721
+0.00828002
+0.00665686
+0.00513912
+0.00366545
+0.00240675
+0.00168899
+0.000942864
+0.000207471
+-0.000328866
+-0.00049269
+-0.000728177
+-0.000794608
+-0.000587708
+0.000100774
+0.00116733
+0.000307557
+-9.08266e-05
+-0.000281563
+-0.000739844
+-0.00177722
+-0.00217621
+-0.00241808
+-0.00306089
+-0.00362777
+-0.00458514
+-0.00316006
+-0.00102041
+0.000898538
+0.00253773
+0.00379778
+0.00389606
+0.00463263
+0.00545319
+0.00630977
+0.00762107
+0.00923928
+0.0110387
+0.0129573
+0.0149508
+0.0169857
+0.0188913
+0.0177347
+0.0156582
+0.0135855
+0.0114751
+0.00938579
+0.00735566
+0.00541096
+0.00364265
+0.00221444
+0.00130411
+0.00124476
+0.00263642
+0.00450395
+0.00651495
+0.00858416
+0.0107019
+0.0128255
+0.0148852
+0.0169742
+0.0190852
+0.0289043
+0.0275297
+0.0262641
+0.0250441
+0.0238875
+0.0228449
+0.0218754
+0.0210533
+0.0204033
+0.0199424
+0.0195935
+0.0194814
+0.0194746
+0.0196483
+0.0199379
+0.0204173
+0.020995
+0.0216761
+0.0224505
+0.0233178
+0.0243282
+0.0254447
+0.0266427
+0.0279235
+0.0292847
+0.0306532
+0.0309452
+0.0303613
+0.0290739
+0.0270496
+0.0250532
+0.0230921
+0.0211304
+0.0191719
+0.0172693
+0.0154231
+0.0134883
+0.0116032
+0.00979881
+0.00791717
+0.0061732
+0.00422365
+0.00247122
+0.00106874
+0.000220617
+-0.000483074
+-0.00161988
+-0.00240932
+-0.00265685
+-0.00283544
+-0.0028441
+-0.00245107
+-0.00145067
+-0.000727369
+-0.00151603
+-0.00203063
+-0.00241655
+-0.00268157
+-0.00333756
+-0.00410111
+-0.00455862
+-0.00521212
+-0.00564124
+-0.00585825
+-0.00390164
+-0.00211474
+-0.00045706
+0.00141665
+0.00245778
+0.0026935
+0.00355205
+0.00428797
+0.00526218
+0.00673632
+0.00849818
+0.0104239
+0.0121541
+0.0140133
+0.0159569
+0.0179575
+0.0181707
+0.0160555
+0.0139526
+0.0118679
+0.00982828
+0.00785226
+0.00589079
+0.00408852
+0.00264019
+0.00147739
+0.00139883
+0.00261498
+0.00438267
+0.00640333
+0.0083686
+0.010409
+0.012497
+0.0145997
+0.0167244
+0.0188634
+0.0289491
+0.027663
+0.0264057
+0.0252727
+0.0242401
+0.0232617
+0.0224035
+0.0216031
+0.0209703
+0.020541
+0.0202953
+0.0202687
+0.0203035
+0.0205345
+0.0209416
+0.021465
+0.0221082
+0.0228959
+0.0237293
+0.0246256
+0.0256232
+0.0267207
+0.0279116
+0.0291786
+0.0305143
+0.0319154
+0.0319963
+0.0312814
+0.029272
+0.0272764
+0.0252979
+0.0232865
+0.0213
+0.0193577
+0.0174703
+0.0155213
+0.0136458
+0.0117638
+0.00983032
+0.00794565
+0.00604607
+0.00398104
+0.00198075
+-2.52143e-05
+-0.00129496
+-0.00192204
+-0.00235303
+-0.0029175
+-0.00347327
+-0.00427304
+-0.0049775
+-0.00421111
+-0.00298608
+-0.00257727
+-0.00324717
+-0.00398654
+-0.00439948
+-0.00470986
+-0.00526916
+-0.00611441
+-0.00673144
+-0.00729352
+-0.00772437
+-0.00690876
+-0.00519015
+-0.0034454
+-0.00158149
+-0.000150307
+0.000743493
+0.00145328
+0.00244781
+0.00321689
+0.00426275
+0.00570635
+0.00737577
+0.00915738
+0.0110865
+0.0130982
+0.0151167
+0.0170267
+0.0186073
+0.01649
+0.0143946
+0.0123248
+0.0102853
+0.008323
+0.00645209
+0.00458597
+0.00300989
+0.00178578
+0.00156887
+0.00244916
+0.00409207
+0.00605218
+0.00812871
+0.0102417
+0.0122803
+0.0143638
+0.0164751
+0.0186018
+0.0290669
+0.0277949
+0.0266424
+0.0255942
+0.0246193
+0.0237152
+0.0229484
+0.0222735
+0.0217014
+0.0213304
+0.021094
+0.0210825
+0.0212684
+0.0215194
+0.0219571
+0.0225313
+0.0232447
+0.0240225
+0.0249571
+0.0259576
+0.0269496
+0.0280573
+0.0292228
+0.0304734
+0.0318094
+0.0331921
+0.0331591
+0.0316005
+0.0296127
+0.0276503
+0.0256276
+0.0236349
+0.0216804
+0.0197754
+0.0178282
+0.0159231
+0.014076
+0.01216
+0.0102649
+0.00831707
+0.00642997
+0.0044577
+0.00262965
+0.00102742
+6.76004e-06
+-0.000944634
+-0.00227124
+-0.0032508
+-0.00375584
+-0.00424089
+-0.00526003
+-0.00541627
+-0.00469057
+-0.00442295
+-0.00487149
+-0.00563648
+-0.00646869
+-0.00680347
+-0.00734674
+-0.00805934
+-0.00887455
+-0.00934474
+-0.00984529
+-0.00828221
+-0.00645667
+-0.0046263
+-0.00290001
+-0.00167356
+-0.00060042
+0.00010106
+0.000966708
+0.00177981
+0.00284006
+0.00436703
+0.00626022
+0.00828528
+0.0103063
+0.0121865
+0.014153
+0.0161772
+0.01824
+0.0170065
+0.0149308
+0.0128092
+0.0107154
+0.00866965
+0.00669961
+0.00486299
+0.00331964
+0.00220872
+0.00166288
+0.00238197
+0.00399541
+0.00589171
+0.00788009
+0.00990695
+0.0119907
+0.0141069
+0.0161671
+0.0182386
+0.0293205
+0.02806
+0.0269189
+0.0259132
+0.025059
+0.0242395
+0.0234963
+0.0229389
+0.0224927
+0.0221408
+0.0219966
+0.0220566
+0.0222486
+0.0226242
+0.0230774
+0.0236798
+0.0244124
+0.0252408
+0.0261606
+0.0272022
+0.0283347
+0.0294166
+0.0305826
+0.03183
+0.033127
+0.0344995
+0.0340518
+0.0320663
+0.0301093
+0.0281155
+0.0261289
+0.0241775
+0.0222638
+0.0203465
+0.0184413
+0.0166067
+0.0147276
+0.012899
+0.0109818
+0.00914967
+0.00730224
+0.00560739
+0.00405726
+0.00283539
+0.00198381
+0.000727215
+-0.000506604
+-0.00127352
+-0.0019149
+-0.00273242
+-0.00375939
+-0.00475489
+-0.00592203
+-0.00622471
+-0.00642583
+-0.00687612
+-0.00783381
+-0.00893033
+-0.00942713
+-0.0100386
+-0.0108834
+-0.0114477
+-0.0113776
+-0.0094911
+-0.00762178
+-0.00593968
+-0.00438171
+-0.00299023
+-0.00217211
+-0.0011234
+-0.000311638
+0.000272027
+0.00160558
+0.00356441
+0.00553989
+0.00741618
+0.00936511
+0.0113975
+0.0134796
+0.0155915
+0.0176043
+0.0172885
+0.0151896
+0.0131208
+0.0110946
+0.00911548
+0.00713939
+0.00529744
+0.00370722
+0.00253104
+0.00197576
+0.00243655
+0.00387809
+0.00573412
+0.00765352
+0.00967107
+0.0117508
+0.0137979
+0.0158328
+0.0178947
+0.0296905
+0.0284787
+0.0273567
+0.0263665
+0.0255263
+0.0248514
+0.0242026
+0.0236619
+0.0232805
+0.0230852
+0.0229565
+0.0230264
+0.0232878
+0.0236924
+0.0242825
+0.0249248
+0.0256546
+0.0264909
+0.0274183
+0.0284613
+0.0295864
+0.030799
+0.0319526
+0.0331721
+0.0344878
+0.035852
+0.0346235
+0.0326728
+0.0307147
+0.0287372
+0.0267845
+0.0248714
+0.0230067
+0.0211143
+0.0192843
+0.0174554
+0.0156531
+0.0138137
+0.011993
+0.0102689
+0.00860338
+0.00713906
+0.0058194
+0.00478015
+0.00382276
+0.00244496
+0.00149434
+0.000695668
+-0.000133416
+-0.000948764
+-0.00186313
+-0.00291375
+-0.0042075
+-0.00558128
+-0.00705677
+-0.0078699
+-0.00898267
+-0.0101964
+-0.0113715
+-0.0119143
+-0.0126601
+-0.0134291
+-0.0124733
+-0.010649
+-0.00888401
+-0.00727243
+-0.00578266
+-0.00454826
+-0.00326151
+-0.00240051
+-0.00163371
+-0.00102767
+0.000678433
+0.00285562
+0.00473111
+0.00675751
+0.00885214
+0.0108129
+0.0128186
+0.014874
+0.0169585
+0.0177102
+0.0156274
+0.013554
+0.0115233
+0.00950695
+0.00757629
+0.00575939
+0.00415426
+0.00304135
+0.00244025
+0.00263448
+0.00382501
+0.00554527
+0.0074008
+0.00937074
+0.011401
+0.0134461
+0.01553
+0.0176259
+0.0301669
+0.0290003
+0.0279048
+0.0269348
+0.0261129
+0.0254535
+0.0249306
+0.0244821
+0.0241924
+0.0240152
+0.0240372
+0.0241093
+0.024374
+0.0248117
+0.0254126
+0.0261314
+0.0269289
+0.0278293
+0.0287408
+0.0297595
+0.0309002
+0.0320881
+0.0333536
+0.0345783
+0.0358424
+0.0371927
+0.035322
+0.0333818
+0.0314186
+0.0294807
+0.0275807
+0.025727
+0.0238901
+0.0220557
+0.0202837
+0.0184906
+0.0167198
+0.0149321
+0.0132659
+0.0116509
+0.0101677
+0.00885341
+0.00766761
+0.00682817
+0.00550049
+0.00431947
+0.00355402
+0.00273052
+0.00185917
+0.000858038
+-8.38874e-05
+-0.00122934
+-0.00253404
+-0.00396411
+-0.00555057
+-0.0070751
+-0.00878442
+-0.010327
+-0.0117625
+-0.0126881
+-0.0137426
+-0.0148791
+-0.0136336
+-0.0118951
+-0.0102844
+-0.008749
+-0.00735946
+-0.00607622
+-0.00488099
+-0.0038796
+-0.00303031
+-0.00139901
+0.000320715
+0.00227046
+0.00428877
+0.00611739
+0.0080927
+0.0101516
+0.0122558
+0.0143776
+0.0165142
+0.0181582
+0.0160755
+0.0140257
+0.0120256
+0.0100819
+0.0082011
+0.0063694
+0.00478603
+0.00361212
+0.00288967
+0.00298765
+0.00395473
+0.00544569
+0.00719957
+0.00913525
+0.0111603
+0.0131835
+0.0152043
+0.0172665
+0.0306945
+0.029548
+0.0285008
+0.0275882
+0.0268011
+0.0261602
+0.0256714
+0.0252469
+0.0249968
+0.0249108
+0.0250064
+0.0252656
+0.0255813
+0.0260122
+0.0265853
+0.0273225
+0.0281631
+0.0290888
+0.0300785
+0.0311367
+0.0322287
+0.0334287
+0.0346837
+0.0359937
+0.0372766
+0.0380184
+0.0360894
+0.0341706
+0.0322493
+0.0303645
+0.0285234
+0.0267248
+0.0249022
+0.0231436
+0.021396
+0.0196815
+0.0179249
+0.0162702
+0.0147087
+0.0132003
+0.0118919
+0.0106508
+0.00962505
+0.00857587
+0.00730411
+0.00632378
+0.00550448
+0.00466613
+0.00381769
+0.00281334
+0.00172248
+0.000494192
+-0.000892371
+-0.00248214
+-0.00398989
+-0.00573785
+-0.00760001
+-0.00918588
+-0.0108308
+-0.0123566
+-0.0137388
+-0.0149791
+-0.0149349
+-0.0133315
+-0.0117826
+-0.010213
+-0.00869417
+-0.00728366
+-0.00614317
+-0.00499773
+-0.00383221
+-0.00196396
+-0.000106213
+0.00187479
+0.00361487
+0.00561398
+0.00771781
+0.00984812
+0.0119913
+0.0141491
+0.0163156
+0.0184878
+0.0166226
+0.0145738
+0.0125632
+0.0106241
+0.00878732
+0.00702081
+0.00540059
+0.00425742
+0.00355177
+0.00347061
+0.00418078
+0.00548561
+0.00710045
+0.00891597
+0.0108472
+0.0128619
+0.0148838
+0.0169435
+0.0312941
+0.0301776
+0.0291547
+0.0282547
+0.0274735
+0.0268487
+0.0263866
+0.0260702
+0.0258671
+0.0258096
+0.0259181
+0.0261939
+0.0266449
+0.0271807
+0.0278167
+0.0285472
+0.0293969
+0.0303535
+0.0313969
+0.0324642
+0.0336287
+0.0347805
+0.0360284
+0.0373496
+0.0386935
+0.0388553
+0.0369701
+0.035073
+0.0332039
+0.0313765
+0.0295984
+0.0278026
+0.0260555
+0.0243489
+0.0226461
+0.0209482
+0.0193041
+0.0177652
+0.0162544
+0.0148956
+0.013684
+0.0125411
+0.0116453
+0.0103387
+0.00920868
+0.00842143
+0.00758353
+0.00672847
+0.00572166
+0.00467583
+0.00342713
+0.0021223
+0.000548322
+-0.000927283
+-0.00278049
+-0.00458733
+-0.00641182
+-0.00807337
+-0.00973222
+-0.0110949
+-0.012438
+-0.0137924
+-0.0149102
+-0.0137529
+-0.0125187
+-0.0109295
+-0.00940415
+-0.00801076
+-0.00690696
+-0.00570385
+-0.00396816
+-0.00196776
+-1.17445e-05
+0.001731
+0.00367683
+0.00574684
+0.007852
+0.00999346
+0.012119
+0.0142574
+0.0164096
+0.0185709
+0.0171261
+0.0151466
+0.013145
+0.0111563
+0.00925923
+0.00752337
+0.00600863
+0.00486412
+0.00429883
+0.00407588
+0.00448602
+0.00558198
+0.00706555
+0.00881963
+0.0106969
+0.0126752
+0.0147066
+0.0167434
+0.0320022
+0.0309115
+0.0299277
+0.0290589
+0.0282999
+0.0276938
+0.027246
+0.0269397
+0.0268095
+0.0267855
+0.026909
+0.0271963
+0.0276334
+0.0282293
+0.0289351
+0.0297166
+0.0306112
+0.031607
+0.0326457
+0.0337946
+0.0349492
+0.0361625
+0.0374119
+0.0386967
+0.0400601
+0.0397955
+0.0379219
+0.036077
+0.0342722
+0.0325049
+0.0307416
+0.0290061
+0.027334
+0.0256411
+0.0239907
+0.0223556
+0.0208146
+0.0193138
+0.0179311
+0.0166961
+0.0155109
+0.014505
+0.0133822
+0.0121877
+0.011195
+0.0103869
+0.00955542
+0.00867593
+0.00763909
+0.00643702
+0.00513153
+0.00359941
+0.00206399
+0.000220644
+-0.00154068
+-0.00341209
+-0.00546155
+-0.00718391
+-0.00851037
+-0.00980881
+-0.0112102
+-0.0126541
+-0.0134159
+-0.0122874
+-0.0112607
+-0.0101682
+-0.00919605
+-0.00859896
+-0.00789355
+-0.00638358
+-0.00423061
+-0.00207807
+8.98743e-05
+0.00201876
+0.00408409
+0.0061797
+0.00825313
+0.0103404
+0.0124415
+0.0145672
+0.0167097
+0.0188632
+0.0176106
+0.0155893
+0.0136205
+0.0117282
+0.00992869
+0.0082733
+0.00680561
+0.00563803
+0.00478521
+0.00440449
+0.00470946
+0.0057035
+0.00711256
+0.00879895
+0.0106112
+0.0124984
+0.0144563
+0.0164708
+0.0328042
+0.0317411
+0.0307866
+0.029954
+0.0292619
+0.0286816
+0.0282495
+0.0279542
+0.0278288
+0.0278755
+0.028002
+0.0282903
+0.0287422
+0.0293212
+0.030022
+0.0308582
+0.031765
+0.0327569
+0.0338553
+0.0350291
+0.0362584
+0.0374975
+0.0387548
+0.0400918
+0.0414249
+0.0408041
+0.0389726
+0.0371798
+0.0354319
+0.0337071
+0.0319845
+0.0303203
+0.0286525
+0.027016
+0.0254185
+0.0238738
+0.0223834
+0.0209769
+0.0197
+0.0185215
+0.01742
+0.0164461
+0.0151968
+0.0141044
+0.013246
+0.0124216
+0.0115759
+0.0106122
+0.00950359
+0.00817518
+0.00667707
+0.00505718
+0.00328023
+0.00143415
+-0.000673601
+-0.0027653
+-0.00441745
+-0.00582356
+-0.00706877
+-0.0083592
+-0.00984705
+-0.0114682
+-0.0121177
+-0.010949
+-0.00984577
+-0.00869131
+-0.00753292
+-0.00679503
+-0.00644965
+-0.00648664
+-0.00462551
+-0.00268088
+-0.000539261
+0.00161254
+0.00379134
+0.00597819
+0.00806453
+0.0100937
+0.0121558
+0.0142564
+0.0163614
+0.0184649
+0.0181986
+0.0162135
+0.014252
+0.0123671
+0.0105638
+0.0089119
+0.0074345
+0.00626126
+0.00530553
+0.00500562
+0.00522514
+0.00597339
+0.0072037
+0.00874444
+0.0104853
+0.0123651
+0.0143093
+0.0163056
+0.0337279
+0.0326966
+0.0317662
+0.0309485
+0.0302677
+0.029733
+0.0293525
+0.0290986
+0.0289781
+0.0290229
+0.0291907
+0.0294951
+0.0299297
+0.0304992
+0.0311988
+0.0320147
+0.0329186
+0.0339077
+0.0349813
+0.0361558
+0.0374122
+0.0387144
+0.0400622
+0.0414166
+0.0427826
+0.0418971
+0.0401155
+0.0383762
+0.0366838
+0.0349817
+0.0333253
+0.0316791
+0.0300493
+0.0284889
+0.0269419
+0.0254599
+0.0240338
+0.022728
+0.0215268
+0.0203841
+0.0193864
+0.0182316
+0.0170783
+0.0160829
+0.0152797
+0.014451
+0.0135627
+0.0125151
+0.0112071
+0.0097668
+0.00811884
+0.00617639
+0.00409817
+0.00209001
+0.000192562
+-0.00141617
+-0.00292721
+-0.00440954
+-0.0057645
+-0.00713528
+-0.00872708
+-0.0102206
+-0.010643
+-0.00956071
+-0.00845804
+-0.00749506
+-0.00615579
+-0.00503231
+-0.00453676
+-0.00487757
+-0.0041217
+-0.00237569
+-0.000440443
+0.00142763
+0.00335943
+0.00540149
+0.0074909
+0.0095382
+0.0116378
+0.0137631
+0.0158984
+0.0180464
+0.0187961
+0.0168367
+0.0149169
+0.0130591
+0.0112654
+0.00963715
+0.00817407
+0.00687834
+0.00592702
+0.00552573
+0.00559217
+0.00625356
+0.00745401
+0.00890715
+0.0105719
+0.0123681
+0.0141918
+0.016069
+0.0346868
+0.0337383
+0.0328392
+0.0320488
+0.0313901
+0.030873
+0.0304858
+0.0302145
+0.0300985
+0.0301416
+0.0303433
+0.0306976
+0.0311452
+0.031738
+0.0324565
+0.0332594
+0.0341463
+0.0351297
+0.0361877
+0.0373243
+0.0385519
+0.0398559
+0.0412208
+0.042637
+0.0440785
+0.0430739
+0.0413429
+0.0396533
+0.0379896
+0.0363437
+0.0347134
+0.0330932
+0.0315365
+0.0300162
+0.0285411
+0.0271
+0.0257648
+0.0245261
+0.0233831
+0.0223065
+0.0212764
+0.0200714
+0.0190015
+0.0181103
+0.0172937
+0.0164537
+0.0155077
+0.0142506
+0.0128605
+0.011015
+0.00896307
+0.00698233
+0.00502491
+0.00318422
+0.00127838
+-0.0002983
+-0.00155218
+-0.00298893
+-0.00462962
+-0.00586532
+-0.00728291
+-0.00885911
+-0.00907379
+-0.00809411
+-0.00698561
+-0.00587575
+-0.00491161
+-0.0035385
+-0.00284756
+-0.00331251
+-0.00336986
+-0.0026866
+-0.00106852
+0.000903919
+0.00289941
+0.00495071
+0.00707995
+0.00920975
+0.011355
+0.0135148
+0.0156832
+0.017857
+0.0193616
+0.0174035
+0.0154684
+0.0136051
+0.0118154
+0.0101837
+0.00875758
+0.0074594
+0.00640567
+0.00586828
+0.0059855
+0.00673882
+0.00774863
+0.00905489
+0.0105459
+0.012208
+0.0139628
+0.015772
+0.0357544
+0.0348349
+0.033995
+0.0332305
+0.0325957
+0.0320769
+0.0316952
+0.0314344
+0.0313228
+0.0313643
+0.0315582
+0.0319016
+0.0323804
+0.0329792
+0.033689
+0.034517
+0.0354048
+0.0363787
+0.0374364
+0.0385625
+0.0397707
+0.0410421
+0.0423853
+0.0437809
+0.0452397
+0.0443277
+0.0426411
+0.0410001
+0.0393694
+0.0377578
+0.0361416
+0.0345883
+0.0330949
+0.031617
+0.0301728
+0.0288134
+0.0275473
+0.0263825
+0.0252672
+0.0242677
+0.0230909
+0.0219694
+0.0209757
+0.0201719
+0.0193462
+0.0184557
+0.0173135
+0.0158804
+0.0138495
+0.0118756
+0.0099182
+0.00800792
+0.00615874
+0.00428138
+0.00263356
+0.000939788
+-0.000747312
+-0.00220476
+-0.00334138
+-0.00456216
+-0.00613566
+-0.00755982
+-0.00742431
+-0.00635067
+-0.0054649
+-0.00470988
+-0.00372688
+-0.00243006
+-0.00158193
+-0.0024601
+-0.00325283
+-0.00250085
+-0.00094474
+0.00100281
+0.00301314
+0.00500967
+0.0071213
+0.009252
+0.0113975
+0.0135575
+0.015726
+0.0178999
+0.0198429
+0.0179034
+0.0160289
+0.0141864
+0.012421
+0.0107954
+0.00935924
+0.00808067
+0.00707759
+0.00658647
+0.0066584
+0.00715458
+0.00792728
+0.00903657
+0.010399
+0.011979
+0.0136887
+0.0155197
+0.0366979
+0.0359843
+0.0352069
+0.0345106
+0.0338772
+0.0333725
+0.0329991
+0.0327466
+0.0326395
+0.0326792
+0.0328653
+0.0331951
+0.0336476
+0.0342242
+0.0349289
+0.0357542
+0.0366918
+0.0376357
+0.0386632
+0.0397804
+0.0409819
+0.0422452
+0.043578
+0.0449495
+0.0463708
+0.0456436
+0.0440055
+0.0424055
+0.0408064
+0.0391975
+0.0376431
+0.0361544
+0.034692
+0.0332502
+0.0318716
+0.0305838
+0.0293761
+0.0282574
+0.0271973
+0.0261256
+0.0249539
+0.0238992
+0.0229891
+0.0221775
+0.0213409
+0.0203864
+0.0187423
+0.0167719
+0.0148149
+0.0128858
+0.0110369
+0.00906019
+0.00711018
+0.0052733
+0.00350353
+0.00183985
+0.000584892
+-0.000381618
+-0.00176419
+-0.00344298
+-0.00504233
+-0.00661067
+-0.0059622
+-0.00485081
+-0.00382738
+-0.00305716
+-0.00228862
+-0.00120192
+-0.000258433
+-0.00170074
+-0.00244079
+-0.00164432
+-0.000273919
+0.00148181
+0.00338658
+0.00541705
+0.00753779
+0.00959001
+0.0116706
+0.0137853
+0.0159206
+0.0180692
+0.0202268
+0.018555
+0.0166847
+0.014881
+0.0131942
+0.0115167
+0.0100147
+0.0087617
+0.00781307
+0.00727541
+0.00725925
+0.00755965
+0.00813473
+0.00914746
+0.0104433
+0.0119687
+0.0136732
+0.0154686
+0.0375373
+0.0368646
+0.0362921
+0.035815
+0.0352429
+0.0347521
+0.034373
+0.0341307
+0.034028
+0.0340661
+0.0342446
+0.0345613
+0.0350061
+0.0355607
+0.0362395
+0.0370355
+0.0379415
+0.038942
+0.0399351
+0.0410177
+0.042184
+0.0434295
+0.044731
+0.046096
+0.0475229
+0.0470229
+0.0454345
+0.0438501
+0.0422596
+0.0407042
+0.0392096
+0.0377707
+0.0363312
+0.0349368
+0.0336273
+0.0323894
+0.0312515
+0.0301552
+0.0291642
+0.027961
+0.0268619
+0.0258707
+0.0250323
+0.0242124
+0.0233693
+0.0216692
+0.0197126
+0.0177751
+0.0157889
+0.0138183
+0.0118177
+0.00988421
+0.00807932
+0.00628177
+0.00455351
+0.0030892
+0.00149977
+6.53366e-05
+-0.000885304
+-0.00239737
+-0.00396638
+-0.00547572
+-0.00428397
+-0.00341268
+-0.00287591
+-0.00214016
+-0.00130733
+-0.000118972
+0.000871109
+-0.000746816
+-0.000996363
+-8.43666e-05
+0.000918519
+0.0024482
+0.00430083
+0.00618307
+0.0081129
+0.0101435
+0.0122167
+0.014304
+0.0163718
+0.0184679
+0.0205838
+0.0192395
+0.0173891
+0.0155843
+0.0138291
+0.0122073
+0.0107572
+0.00957103
+0.00868773
+0.00801164
+0.00783848
+0.00814242
+0.00863273
+0.00955457
+0.0107671
+0.0122468
+0.0138788
+0.0156297
+0.0384341
+0.0377773
+0.037238
+0.0368213
+0.0365149
+0.0361921
+0.0358284
+0.0355959
+0.0354974
+0.035534
+0.0357051
+0.036009
+0.0364373
+0.0369704
+0.0376238
+0.0383911
+0.0392659
+0.040241
+0.0412841
+0.0423322
+0.0434632
+0.0446731
+0.0459557
+0.0472874
+0.0486793
+0.0484621
+0.0469007
+0.0453266
+0.0437705
+0.0422708
+0.0408336
+0.0394149
+0.0380073
+0.0366766
+0.0354174
+0.03424
+0.0331388
+0.0320904
+0.0309861
+0.0298417
+0.0287972
+0.0278749
+0.0270666
+0.0262324
+0.0245057
+0.0224674
+0.020447
+0.0184653
+0.0165365
+0.0146801
+0.0128018
+0.0110271
+0.00923367
+0.00752613
+0.00603606
+0.00441161
+0.00282302
+0.00123383
+-0.000206229
+-0.00176744
+-0.00338083
+-0.00358508
+-0.00269126
+-0.00155699
+-0.000793152
+-0.000274028
+0.000428921
+0.00129399
+0.00209082
+0.00090337
+0.000686912
+0.00157722
+0.00256898
+0.00373881
+0.00534073
+0.00720886
+0.00909033
+0.0110223
+0.0129555
+0.0149532
+0.0169984
+0.019076
+0.0211627
+0.0198685
+0.0179894
+0.0161888
+0.0144734
+0.0128907
+0.0115091
+0.0103282
+0.00939163
+0.00872744
+0.00845721
+0.00848942
+0.00900532
+0.00995109
+0.0111305
+0.0124956
+0.0140663
+0.0157307
+0.039321
+0.0387033
+0.0382014
+0.0378199
+0.0375388
+0.0373754
+0.0373229
+0.0371327
+0.0370382
+0.0370733
+0.0372374
+0.0375288
+0.0379223
+0.0384348
+0.0390637
+0.0398033
+0.0406476
+0.0415904
+0.042624
+0.043703
+0.0448131
+0.0459875
+0.0472344
+0.048536
+0.0498931
+0.0499558
+0.0483957
+0.046841
+0.045337
+0.0438908
+0.0424967
+0.041082
+0.0397335
+0.0384565
+0.0372463
+0.0361286
+0.0350462
+0.0340217
+0.0328396
+0.0317563
+0.0307668
+0.0299052
+0.0290894
+0.027217
+0.0251964
+0.0232067
+0.0212566
+0.0193581
+0.0175277
+0.0156962
+0.0138377
+0.0120865
+0.0104725
+0.00896771
+0.00722792
+0.0055793
+0.0039748
+0.00253518
+0.000663391
+-0.000864326
+-0.00160218
+-0.00149233
+-0.0012563
+-0.000323177
+0.000406862
+0.000729331
+0.00152735
+0.00241704
+0.00316073
+0.00253412
+0.00259456
+0.0031732
+0.00431575
+0.00519966
+0.00650755
+0.00791902
+0.00955035
+0.0113261
+0.0132269
+0.0152059
+0.0172362
+0.0192999
+0.0213869
+0.0205207
+0.0187016
+0.0169483
+0.0153081
+0.0137528
+0.0123021
+0.0110584
+0.0101096
+0.00948834
+0.00906147
+0.00907712
+0.00948909
+0.0103348
+0.011407
+0.012722
+0.0142071
+0.0158561
+0.0402855
+0.0396828
+0.0391934
+0.0388217
+0.0385711
+0.0384438
+0.038427
+0.0385083
+0.0386405
+0.0386741
+0.0388315
+0.0390971
+0.0394731
+0.0399657
+0.0405708
+0.0412834
+0.0420981
+0.0430091
+0.0440103
+0.0450713
+0.046188
+0.0473668
+0.0485783
+0.0498497
+0.0511719
+0.0514565
+0.049915
+0.0484073
+0.0469535
+0.0455586
+0.0441599
+0.0427963
+0.0415031
+0.0402666
+0.0391125
+0.0380247
+0.036985
+0.0358546
+0.0347325
+0.0336954
+0.0327644
+0.0319568
+0.0299938
+0.0280023
+0.0260427
+0.0241229
+0.0222533
+0.0204321
+0.0185784
+0.01675
+0.0150032
+0.0133679
+0.0118436
+0.0100535
+0.00836989
+0.00662523
+0.00497053
+0.00287793
+0.00110424
+0.000155405
+-0.000179753
+6.7859e-05
+0.000224485
+0.00163078
+0.00201281
+0.00241636
+0.00311239
+0.00362505
+0.00299264
+0.00331138
+0.00307746
+0.00331954
+0.00412551
+0.00537246
+0.0068627
+0.00842942
+0.0101282
+0.0118541
+0.0137063
+0.0156247
+0.0176068
+0.0196332
+0.0216916
+0.0211868
+0.0193632
+0.0176234
+0.0159947
+0.0144374
+0.0130336
+0.0118413
+0.0109023
+0.0100226
+0.00950167
+0.00947148
+0.00988607
+0.0107005
+0.0117564
+0.0130461
+0.0144719
+0.0159381
+0.0413437
+0.0407566
+0.0402803
+0.0399187
+0.039675
+0.0395417
+0.0395156
+0.0396108
+0.0398265
+0.0401608
+0.0404632
+0.040721
+0.0410821
+0.0415557
+0.042138
+0.0428245
+0.0436104
+0.0444904
+0.0454581
+0.0464935
+0.0475884
+0.048743
+0.0499583
+0.0512165
+0.0525044
+0.0529917
+0.0514809
+0.0500205
+0.0486149
+0.0472405
+0.0458638
+0.0445524
+0.0432978
+0.0421129
+0.0410088
+0.039939
+0.0388827
+0.0377234
+0.0366518
+0.0356635
+0.0347853
+0.0328282
+0.0308641
+0.0289325
+0.0270404
+0.0251943
+0.0233461
+0.0215182
+0.0197107
+0.0179699
+0.0163378
+0.0147554
+0.0130039
+0.0113045
+0.00953124
+0.00769003
+0.00571857
+0.00395652
+0.00258137
+0.00156355
+0.00080262
+0.00131902
+0.00172307
+0.00279694
+0.00350827
+0.00397743
+0.00452917
+0.00377808
+0.00271538
+0.00238473
+0.00255141
+0.00308437
+0.00423932
+0.00566429
+0.0072894
+0.00906835
+0.0107979
+0.0125983
+0.0144084
+0.0162492
+0.0181631
+0.0201336
+0.0221454
+0.0217304
+0.0199158
+0.0181716
+0.0165341
+0.015036
+0.0136704
+0.0125378
+0.0116345
+0.0107837
+0.0103013
+0.0102735
+0.0106569
+0.0114164
+0.0122808
+0.0133229
+0.0145636
+0.0160032
+0.0424681
+0.0418969
+0.0414337
+0.0410822
+0.0408454
+0.0407184
+0.0406931
+0.0407856
+0.0409951
+0.0413199
+0.0417572
+0.0423036
+0.0427429
+0.0431983
+0.0437587
+0.0444202
+0.0451784
+0.0460284
+0.0469597
+0.0479619
+0.0490417
+0.0501704
+0.0513525
+0.0525981
+0.0538851
+0.0545573
+0.0530911
+0.0516762
+0.0503167
+0.0489352
+0.0476076
+0.0463379
+0.0451265
+0.0439908
+0.0429118
+0.0418805
+0.0407304
+0.0396252
+0.0385936
+0.0376563
+0.0357065
+0.0337676
+0.0318615
+0.0299942
+0.0281586
+0.0263014
+0.0244809
+0.0226933
+0.0209746
+0.0192958
+0.0175325
+0.0157813
+0.014125
+0.0124755
+0.0104901
+0.00860495
+0.00688232
+0.00546368
+0.00441421
+0.00329783
+0.00272854
+0.00316181
+0.00372764
+0.0044654
+0.00512397
+0.00557385
+0.00493474
+0.00328751
+0.00223038
+0.00172169
+0.00222839
+0.00326931
+0.0046181
+0.00626948
+0.00789168
+0.00963457
+0.0115002
+0.0134324
+0.0151976
+0.0170164
+0.0189019
+0.0208452
+0.0227943
+0.0223182
+0.0205444
+0.0188585
+0.0172746
+0.0158181
+0.0144834
+0.0132733
+0.0122691
+0.0115725
+0.0112267
+0.0112311
+0.011516
+0.0119719
+0.0127042
+0.0137098
+0.0149122
+0.0162814
+0.0436723
+0.0431169
+0.042667
+0.0423258
+0.042096
+0.0419766
+0.041952
+0.0420417
+0.042245
+0.0425602
+0.0429849
+0.0435159
+0.0441493
+0.0448808
+0.0454273
+0.0460649
+0.0467964
+0.0476176
+0.048513
+0.0494838
+0.050531
+0.0516357
+0.0527937
+0.0540061
+0.0552787
+0.0561647
+0.0547416
+0.0533705
+0.0520098
+0.050668
+0.0493852
+0.0481508
+0.0469861
+0.0458917
+0.0448331
+0.04375
+0.0426106
+0.0415481
+0.0405608
+0.0386188
+0.036703
+0.0348197
+0.0329682
+0.0311195
+0.0292862
+0.0274639
+0.025697
+0.0239769
+0.0221578
+0.020387
+0.0186416
+0.016971
+0.0151378
+0.0131893
+0.0113288
+0.00957432
+0.0080346
+0.00682841
+0.00602057
+0.00526633
+0.00487028
+0.00519932
+0.00569306
+0.00641813
+0.00701765
+0.00654843
+0.00475988
+0.0030905
+0.00194278
+0.00165315
+0.00241838
+0.00364165
+0.00512489
+0.00681596
+0.00859593
+0.0102213
+0.0119619
+0.013831
+0.015783
+0.0176546
+0.01875
+0.0200183
+0.021434
+0.0229717
+0.0213606
+0.019676
+0.0180853
+0.0166088
+0.0152664
+0.0140854
+0.0131433
+0.0124631
+0.0120539
+0.0119609
+0.0121045
+0.0126322
+0.0134237
+0.0143624
+0.0155021
+0.0167975
+0.0449509
+0.0444116
+0.0439749
+0.0436439
+0.0434211
+0.0433073
+0.0432835
+0.0433704
+0.0435675
+0.0438732
+0.0442853
+0.0448009
+0.0454164
+0.0461278
+0.0469308
+0.0477534
+0.0484594
+0.0492522
+0.0501139
+0.0510543
+0.05207
+0.0531428
+0.0542772
+0.0554648
+0.0567047
+0.0578105
+0.0564289
+0.0550869
+0.0537327
+0.052435
+0.0511839
+0.0498258
+0.0484906
+0.0472194
+0.0460175
+0.0448903
+0.0438436
+0.0428835
+0.0415579
+0.0396632
+0.0377996
+0.0359591
+0.0341048
+0.0322729
+0.0304699
+0.0287208
+0.0268762
+0.025076
+0.0233038
+0.0215604
+0.0198856
+0.0179405
+0.0160334
+0.0141882
+0.0124498
+0.0108759
+0.00952976
+0.00850859
+0.00762507
+0.00697754
+0.00680867
+0.00704037
+0.00740089
+0.00790436
+0.0068489
+0.00560434
+0.00403692
+0.00238646
+0.00138531
+0.00142251
+0.00233522
+0.00346107
+0.00488145
+0.0066923
+0.00840555
+0.0102827
+0.0122571
+0.0141254
+0.014849
+0.0158358
+0.0170429
+0.0184267
+0.0199556
+0.0215988
+0.0220968
+0.0204724
+0.0189414
+0.0175243
+0.0162094
+0.0150788
+0.0141398
+0.0134897
+0.0130276
+0.0127897
+0.0129242
+0.0134197
+0.0142388
+0.0151445
+0.0162069
+0.0174593
+0.046298
+0.0457746
+0.045351
+0.0450301
+0.0448142
+0.0447039
+0.0446808
+0.0447651
+0.0449561
+0.0452524
+0.0456521
+0.0461524
+0.0467501
+0.0474415
+0.0482226
+0.0490891
+0.0500366
+0.0509222
+0.0517581
+0.0526691
+0.0536542
+0.0546961
+0.0557989
+0.0569647
+0.0581784
+0.0582688
+0.0568871
+0.0552958
+0.0537398
+0.0522294
+0.0507686
+0.0493618
+0.0480138
+0.0467296
+0.0455147
+0.0443747
+0.0433156
+0.0423435
+0.0414497
+0.040647
+0.0389433
+0.0371053
+0.0352772
+0.0334901
+0.0316493
+0.0298154
+0.0280328
+0.0262599
+0.0245232
+0.0227543
+0.0208271
+0.0189456
+0.0171298
+0.0154117
+0.013828
+0.0124178
+0.0112463
+0.0103111
+0.00937809
+0.00880497
+0.00867341
+0.00892536
+0.00789415
+0.0064536
+0.00522249
+0.00421008
+0.00301705
+0.00157904
+0.000685093
+0.001046
+0.00185418
+0.00310814
+0.00449305
+0.00617369
+0.00809665
+0.0100467
+0.0115478
+0.012186
+0.0130069
+0.0141202
+0.0154553
+0.0169692
+0.0186181
+0.0203695
+0.022199
+0.0213967
+0.0198984
+0.0185297
+0.0172749
+0.0162186
+0.0153492
+0.0146255
+0.0140954
+0.0138759
+0.0139999
+0.0144586
+0.0152218
+0.0160064
+0.0169386
+0.0180894
+0.0477077
+0.0471999
+0.0467892
+0.0464783
+0.0462691
+0.0461623
+0.0461399
+0.0462215
+0.0464065
+0.0466937
+0.0470811
+0.0475663
+0.0481465
+0.0488181
+0.0495776
+0.0504208
+0.0513437
+0.0523421
+0.0534117
+0.0543243
+0.0552799
+0.0562918
+0.057364
+0.0584986
+0.05944
+0.0580035
+0.0565726
+0.0549655
+0.0533999
+0.0518795
+0.0504086
+0.0489914
+0.0476329
+0.0463382
+0.0451128
+0.0439624
+0.0428931
+0.0419112
+0.041008
+0.0401964
+0.0394899
+0.0381376
+0.0363457
+0.0345814
+0.032784
+0.0310139
+0.0292389
+0.0275154
+0.0256605
+0.0237604
+0.0219056
+0.0201184
+0.0184186
+0.0168326
+0.0153878
+0.0141232
+0.0130907
+0.0120749
+0.0112583
+0.0107585
+0.0102501
+0.00841162
+0.00674044
+0.00524502
+0.00395013
+0.00296784
+0.00197273
+0.000695112
+2.93607e-05
+0.000416519
+0.00129161
+0.0021905
+0.00357113
+0.0053543
+0.00717134
+0.0090144
+0.00961395
+0.0103335
+0.0112899
+0.0125454
+0.0140312
+0.0156831
+0.017454
+0.0193112
+0.0212321
+0.022388
+0.0209607
+0.0196702
+0.0185391
+0.0175504
+0.0165942
+0.0158346
+0.0153296
+0.0151279
+0.0152418
+0.0155011
+0.0159265
+0.016632
+0.0175357
+0.0186497
+0.0491746
+0.0486821
+0.048284
+0.0479828
+0.0477802
+0.0476767
+0.0476551
+0.0477341
+0.0479133
+0.0481914
+0.0485669
+0.0490375
+0.0496004
+0.0502526
+0.0509907
+0.0518109
+0.0527095
+0.0536825
+0.0547259
+0.0558358
+0.0569435
+0.0579264
+0.0589689
+0.0600732
+0.0592609
+0.0578199
+0.056335
+0.0547209
+0.0531481
+0.0516203
+0.0501418
+0.0487169
+0.0473505
+0.0460478
+0.0448144
+0.0436562
+0.0425792
+0.0415899
+0.0406796
+0.0398613
+0.0391488
+0.0385476
+0.0374747
+0.0357143
+0.0339924
+0.0322404
+0.0305146
+0.0286036
+0.0267258
+0.0248992
+0.0231358
+0.0214514
+0.0198659
+0.0183642
+0.0170021
+0.0157717
+0.0147625
+0.0139324
+0.0132239
+0.0117202
+0.00969508
+0.0077604
+0.00595473
+0.00440093
+0.00319773
+0.00224544
+0.000955381
+-0.000432868
+-0.000890524
+-0.000408115
+0.000186501
+0.00115498
+0.00248329
+0.0042107
+0.00603346
+0.00705133
+0.0077283
+0.00864077
+0.00975219
+0.01118
+0.012825
+0.0146138
+0.0164999
+0.0184534
+0.020455
+0.0223359
+0.022187
+0.0209683
+0.0199167
+0.0188336
+0.0179346
+0.0172137
+0.0166954
+0.016284
+0.0161616
+0.0163348
+0.0167918
+0.0174623
+0.018323
+0.0192957
+0.0506937
+0.0502161
+0.0498303
+0.0495385
+0.0493423
+0.0492421
+0.0492212
+0.0492977
+0.0494711
+0.0497406
+0.0501045
+0.0505607
+0.0511069
+0.0517401
+0.0524573
+0.0532549
+0.0541295
+0.0550774
+0.0560949
+0.0571783
+0.0583238
+0.059528
+0.0606105
+0.0606507
+0.0591625
+0.057719
+0.0561819
+0.0545633
+0.0529858
+0.0514532
+0.0499697
+0.0485397
+0.0471682
+0.0458604
+0.0446218
+0.0434584
+0.0423765
+0.0413823
+0.0404673
+0.0396447
+0.0389281
+0.0383235
+0.0378363
+0.0369194
+0.0352177
+0.0334629
+0.0315702
+0.0297183
+0.0279023
+0.0261261
+0.0244147
+0.0227842
+0.0212547
+0.0198494
+0.0185561
+0.0174332
+0.0165257
+0.015672
+0.0137048
+0.0116116
+0.00956221
+0.00759202
+0.00578063
+0.00419493
+0.00316392
+0.00211337
+4.79769e-05
+-0.00158111
+-0.00187681
+-0.00137894
+-0.000960119
+0.00024061
+0.00132421
+0.00312308
+0.00428311
+0.00520043
+0.00602075
+0.0072124
+0.00850345
+0.0101092
+0.0119031
+0.0138119
+0.015794
+0.0177815
+0.019641
+0.0215629
+0.0235318
+0.022404
+0.0212705
+0.0200925
+0.0190575
+0.0182283
+0.0175822
+0.017192
+0.0170762
+0.0172402
+0.0175994
+0.0181894
+0.0190149
+0.0200195
+0.0522605
+0.0517974
+0.0514235
+0.0511407
+0.0509507
+0.0508537
+0.0508334
+0.0509075
+0.0510755
+0.0513365
+0.0516892
+0.0521316
+0.0526614
+0.0532762
+0.0539729
+0.0547485
+0.0555996
+0.0565229
+0.0575148
+0.0585719
+0.0596907
+0.0608678
+0.0620999
+0.0606337
+0.059145
+0.0577012
+0.056114
+0.0544933
+0.0529137
+0.051379
+0.0498933
+0.0484611
+0.0470873
+0.0457771
+0.0445362
+0.0433706
+0.0422863
+0.04129
+0.0403729
+0.0395483
+0.03883
+0.0382239
+0.0377354
+0.0373691
+0.0364005
+0.0345056
+0.0326479
+0.0308338
+0.0290713
+0.0273676
+0.0257378
+0.0241966
+0.0227622
+0.0214268
+0.0202262
+0.0192011
+0.018001
+0.0159932
+0.0138993
+0.0118405
+0.00983877
+0.00793753
+0.00622746
+0.00481356
+0.00345706
+0.00148374
+-0.000362919
+-0.00226356
+-0.00287908
+-0.00276322
+-0.00177807
+-0.000728413
+3.35197e-05
+0.00130786
+0.0025999
+0.00356893
+0.00455605
+0.00593901
+0.00760401
+0.00942007
+0.0112586
+0.013205
+0.015218
+0.0170835
+0.0190114
+0.020991
+0.0230089
+0.023517
+0.0222115
+0.0210516
+0.0200202
+0.0191845
+0.0185709
+0.0182019
+0.0180889
+0.0181951
+0.0185463
+0.0191071
+0.019891
+0.0208703
+0.0538709
+0.0534217
+0.0530592
+0.0527852
+0.0526012
+0.0525072
+0.0524876
+0.0525593
+0.0527221
+0.052975
+0.0533168
+0.0537458
+0.0542599
+0.0548567
+0.0555336
+0.0562877
+0.0571159
+0.058015
+0.0589819
+0.0600131
+0.0611056
+0.0622559
+0.0622187
+0.0606904
+0.0592036
+0.0577617
+0.0561315
+0.0545114
+0.0529323
+0.0513982
+0.049913
+0.0484814
+0.0471082
+0.0457986
+0.0445583
+0.0433933
+0.0423096
+0.0413138
+0.0403972
+0.0395731
+0.0388553
+0.0382496
+0.0377614
+0.0373954
+0.0371552
+0.0355931
+0.0337951
+0.0320444
+0.0303495
+0.0287218
+0.0271732
+0.0257182
+0.0243533
+0.0230971
+0.021725
+0.0197068
+0.0176921
+0.0157054
+0.0137676
+0.0118923
+0.0101441
+0.00850228
+0.00687062
+0.00518915
+0.00340172
+0.00158634
+-0.000266588
+-0.00214291
+-0.00354104
+-0.00383761
+-0.00286208
+-0.00181005
+-0.00148437
+-0.00026339
+0.000949965
+0.00216302
+0.00347739
+0.00497112
+0.00661227
+0.00849368
+0.010471
+0.0125174
+0.0146057
+0.016621
+0.0186198
+0.020637
+0.0226863
+0.0244395
+0.0231768
+0.0220462
+0.0210833
+0.0203114
+0.0197329
+0.0193859
+0.019238
+0.0193358
+0.0196667
+0.0201963
+0.0209395
+0.0218719
+0.055521
+0.0550853
+0.0547338
+0.0544683
+0.0542899
+0.0541989
+0.0541798
+0.0542493
+0.054407
+0.0546521
+0.0549835
+0.0553996
+0.0558985
+0.056478
+0.0571357
+0.057869
+0.0586748
+0.0595504
+0.0604927
+0.0614987
+0.0625652
+0.0636892
+0.0623414
+0.0608161
+0.0593325
+0.0578893
+0.0562344
+0.0546174
+0.0530415
+0.0515106
+0.0500288
+0.0485991
+0.0472269
+0.0459182
+0.0446786
+0.0435141
+0.0424308
+0.0414351
+0.0405188
+0.0396973
+0.0389817
+0.038378
+0.0378915
+0.0375268
+0.0372874
+0.036779
+0.0350392
+0.0333526
+0.0317277
+0.0301744
+0.0287043
+0.0273177
+0.0257618
+0.0236935
+0.0216492
+0.0196232
+0.0176309
+0.0156587
+0.0136993
+0.0118129
+0.0100507
+0.00846911
+0.00695009
+0.00510023
+0.00323944
+0.0014856
+-0.000136205
+-0.00132521
+-0.0016433
+-0.00202206
+-0.00196889
+-0.00185009
+-0.00161022
+-0.000875425
+0.000225646
+0.00135024
+0.00262616
+0.00413777
+0.00595779
+0.00795876
+0.0100392
+0.0121585
+0.0141923
+0.0162045
+0.0182505
+0.020316
+0.0224052
+0.0245122
+0.0242811
+0.0232044
+0.0222916
+0.0215628
+0.0210187
+0.020691
+0.02055
+0.0206416
+0.020952
+0.02145
+0.0221543
+0.0230389
+0.0571993
+0.0567764
+0.0564355
+0.056178
+0.0560051
+0.0559175
+0.0559067
+0.0559741
+0.0561269
+0.0563646
+0.0566859
+0.0570896
+0.0575739
+0.0581367
+0.0587759
+0.0594888
+0.0602731
+0.0611258
+0.0620442
+0.0630253
+0.0640664
+0.0640997
+0.0625405
+0.0610202
+0.0595417
+0.0580586
+0.056409
+0.0547974
+0.0532272
+0.0517008
+0.0502223
+0.0487973
+0.0474308
+0.0461279
+0.0448941
+0.0437354
+0.0426577
+0.0416674
+0.0407564
+0.0399397
+0.0392286
+0.0386287
+0.0381454
+0.0377831
+0.0375454
+0.0374346
+0.0363717
+0.0347498
+0.0331933
+0.0317118
+0.0300436
+0.0279482
+0.0258686
+0.0238089
+0.0217748
+0.0197742
+0.017809
+0.0158653
+0.0139278
+0.0120771
+0.010351
+0.00874786
+0.00735268
+0.0056962
+0.00386603
+0.00218233
+0.000905363
+0.000687274
+0.000379644
+0.000157875
+0.000155043
+0.000321451
+8.22957e-05
+0.000307802
+0.000603555
+0.00113139
+0.00233175
+0.00405592
+0.00596914
+0.00797468
+0.0100577
+0.0120377
+0.0140222
+0.0160549
+0.0181179
+0.0201969
+0.0222973
+0.0244136
+0.0255261
+0.0245042
+0.0236416
+0.0229468
+0.0224363
+0.0221224
+0.0219903
+0.0220758
+0.0223766
+0.0228442
+0.0235068
+0.0243475
+0.0589087
+0.0584982
+0.0581674
+0.0579176
+0.0577498
+0.0576649
+0.0576631
+0.0577304
+0.0578786
+0.0581091
+0.0584209
+0.0588127
+0.0592828
+0.0598296
+0.0604508
+0.0611443
+0.0619076
+0.0627381
+0.0636332
+0.0645902
+0.0656065
+0.064368
+0.0628155
+0.061302
+0.0598305
+0.058307
+0.0566647
+0.0550605
+0.053498
+0.0519796
+0.0505092
+0.0490926
+0.0477346
+0.0464402
+0.0452149
+0.0440646
+0.0429952
+0.0420128
+0.0411095
+0.0403
+0.0395953
+0.0390011
+0.0385224
+0.0381637
+0.0379284
+0.0378187
+0.0377842
+0.0362256
+0.0344833
+0.0323788
+0.0302865
+0.0282092
+0.0261503
+0.0241147
+0.0221088
+0.0201414
+0.0181965
+0.0162319
+0.014333
+0.0125298
+0.0108153
+0.00926655
+0.00794187
+0.00665853
+0.00497241
+0.00360647
+0.00281066
+0.00274498
+0.00248973
+0.00234172
+0.00232922
+0.00242062
+0.00221179
+0.00243906
+0.00241028
+0.00262883
+0.0034018
+0.00477916
+0.00653045
+0.0084383
+0.0103046
+0.0122343
+0.0141914
+0.0162029
+0.0182491
+0.0203147
+0.022404
+0.0245111
+0.0266317
+0.0259241
+0.0251101
+0.024449
+0.0239705
+0.0236699
+0.0235465
+0.0236264
+0.0239077
+0.0243559
+0.0249784
+0.0257688
+0.0606491
+0.0602505
+0.0599293
+0.0596869
+0.0595241
+0.0594417
+0.05944
+0.0595156
+0.0596594
+0.059883
+0.0601856
+0.0605659
+0.0610226
+0.0615539
+0.0621579
+0.0628326
+0.0635756
+0.0643845
+0.0652571
+0.0661906
+0.0662899
+0.0647094
+0.0631653
+0.0616604
+0.0601976
+0.0586362
+0.0570034
+0.0554091
+0.0538567
+0.0523486
+0.050889
+0.0494832
+0.0481362
+0.0468529
+0.0456387
+0.0444993
+0.0434406
+0.0424686
+0.0415751
+0.0407749
+0.0400786
+0.0394916
+0.039019
+0.0386649
+0.0384326
+0.0383243
+0.0383252
+0.0369279
+0.0348333
+0.0327512
+0.0306843
+0.0286359
+0.0266101
+0.0246125
+0.0226507
+0.0206669
+0.0187052
+0.0168002
+0.0149691
+0.0132401
+0.011611
+0.0101839
+0.00899434
+0.00792766
+0.00649904
+0.00546062
+0.00491077
+0.00487045
+0.00464812
+0.00453065
+0.00451221
+0.00454195
+0.00437761
+0.00448606
+0.0044296
+0.00456764
+0.00506821
+0.00609896
+0.00756871
+0.00923566
+0.0109364
+0.0127871
+0.0146824
+0.0166328
+0.0186313
+0.0206653
+0.0227225
+0.0248025
+0.0269001
+0.0274457
+0.0266705
+0.026049
+0.0256005
+0.0253126
+0.0251973
+0.025272
+0.0255351
+0.0259646
+0.0265494
+0.0272819
+0.0624178
+0.0620306
+0.0617187
+0.0614833
+0.0613253
+0.0612453
+0.0612437
+0.0613203
+0.0614666
+0.0616836
+0.0619774
+0.0623469
+0.0627906
+0.0633071
+0.0638945
+0.064551
+0.0652744
+0.0660626
+0.0669133
+0.067824
+0.0666935
+0.0651227
+0.0635887
+0.0620941
+0.0606417
+0.059045
+0.0574238
+0.0558415
+0.0543014
+0.0528061
+0.0513594
+0.0499669
+0.0486333
+0.0473634
+0.0461627
+0.0450366
+0.0439908
+0.0430312
+0.0421497
+0.0413605
+0.0406742
+0.040096
+0.0396306
+0.039282
+0.0390534
+0.0389469
+0.0389477
+0.0373834
+0.0353158
+0.033264
+0.0312311
+0.029221
+0.0272387
+0.0252302
+0.0232526
+0.0213068
+0.0194099
+0.0175815
+0.0158406
+0.0142145
+0.0127186
+0.0113937
+0.0103277
+0.0093788
+0.00821581
+0.00746688
+0.00706609
+0.00703489
+0.00682351
+0.00671957
+0.00669806
+0.0066929
+0.00655454
+0.0065746
+0.00652969
+0.00661721
+0.00697215
+0.00776465
+0.00899832
+0.0103706
+0.0119425
+0.0136395
+0.015417
+0.0172847
+0.0192155
+0.0211969
+0.0232159
+0.0252558
+0.0273166
+0.029046
+0.0283074
+0.0277226
+0.0273016
+0.0270332
+0.0269252
+0.0269951
+0.0272416
+0.0276388
+0.028189
+0.0288819
+0.0642126
+0.0638362
+0.0635332
+0.0633046
+0.0631512
+0.0630735
+0.0630719
+0.0631463
+0.0632908
+0.0635017
+0.0637871
+0.0641461
+0.0645775
+0.0650798
+0.0656513
+0.0662904
+0.0669951
+0.0677633
+0.0685928
+0.0687599
+0.0671661
+0.0656067
+0.0640842
+0.0626014
+0.0611611
+0.0595316
+0.057924
+0.0563557
+0.0548302
+0.0533496
+0.0519181
+0.050541
+0.0492229
+0.0479687
+0.0467835
+0.0456727
+0.0446418
+0.0436965
+0.0428287
+0.0420523
+0.0413774
+0.0408092
+0.040352
+0.0400097
+0.0397853
+0.0396807
+0.0396816
+0.0379601
+0.0359258
+0.0339109
+0.0318939
+0.0298755
+0.0278831
+0.0259227
+0.0240023
+0.0221225
+0.020302
+0.0185616
+0.0169219
+0.0154017
+0.0140204
+0.0128407
+0.0118889
+0.011034
+0.0101173
+0.00949031
+0.00921028
+0.00921092
+0.00900632
+0.00890849
+0.00886553
+0.00885241
+0.00873836
+0.00871328
+0.00865998
+0.0087081
+0.00897255
+0.00963654
+0.0106163
+0.0118006
+0.0132198
+0.0147563
+0.0164132
+0.0181789
+0.0200237
+0.0219322
+0.023889
+0.025876
+0.027891
+0.0299307
+0.0299975
+0.0294463
+0.0290503
+0.0288059
+0.0287046
+0.0287702
+0.0290016
+0.0293696
+0.0298879
+0.0305548
+0.0660313
+0.0656653
+0.0653708
+0.0651486
+0.0649995
+0.0649241
+0.0649225
+0.0649948
+0.0651364
+0.0653413
+0.0656187
+0.0659678
+0.0663873
+0.066876
+0.0674324
+0.0680547
+0.0687413
+0.0694902
+0.0702994
+0.0692878
+0.0677063
+0.0661597
+0.0646502
+0.0631807
+0.061723
+0.0600942
+0.058502
+0.0569497
+0.0554405
+0.0539767
+0.0525622
+0.0512025
+0.0499019
+0.0486651
+0.0474973
+0.0464036
+0.0453893
+0.0444599
+0.0436073
+0.042845
+0.0421828
+0.0416255
+0.0411774
+0.0408419
+0.040622
+0.0405196
+0.0405207
+0.0386259
+0.0366113
+0.0345907
+0.0325921
+0.0306197
+0.0286791
+0.0267747
+0.0249089
+0.0231002
+0.0213631
+0.0197155
+0.0181695
+0.0167437
+0.0154826
+0.0144382
+0.013584
+0.0128472
+0.0121169
+0.0115743
+0.0113487
+0.0113924
+0.0111922
+0.0110974
+0.0110335
+0.0110241
+0.0109249
+0.0108727
+0.0108128
+0.0108379
+0.0110447
+0.011601
+0.01241
+0.0134372
+0.0146994
+0.0160952
+0.0176267
+0.0192816
+0.0210299
+0.0228545
+0.0247385
+0.0266622
+0.028622
+0.030613
+0.0317488
+0.0312285
+0.0308554
+0.0306255
+0.0305303
+0.0305919
+0.0308097
+0.0311584
+0.0316474
+0.032278
+0.0678719
+0.067516
+0.0672295
+0.0670135
+0.0668686
+0.0667952
+0.0667937
+0.066864
+0.0670028
+0.067202
+0.0674718
+0.0678113
+0.0682195
+0.0686951
+0.0692369
+0.0698432
+0.0705123
+0.0712426
+0.0714808
+0.0698803
+0.0683126
+0.0667799
+0.0652848
+0.0638299
+0.0623428
+0.0607306
+0.0591556
+0.0576209
+0.0561297
+0.0546843
+0.0532887
+0.0519479
+0.0506665
+0.0494489
+0.0483
+0.0472249
+0.0462286
+0.0453032
+0.0444619
+0.0437143
+0.0430653
+0.0425194
+0.0420806
+0.0417523
+0.0415371
+0.0414367
+0.041346
+0.0393501
+0.0373498
+0.0353714
+0.0334195
+0.0314962
+0.0296037
+0.0277552
+0.0259599
+0.0242298
+0.0225751
+0.0210111
+0.0195677
+0.0182507
+0.0171011
+0.0161527
+0.0154042
+0.0147481
+0.0141627
+0.0136912
+0.0135039
+0.0135524
+0.0133797
+0.0132865
+0.0132089
+0.0132021
+0.0131129
+0.0130257
+0.0129783
+0.0129759
+0.0131553
+0.0136195
+0.0143147
+0.0152138
+0.0163395
+0.0176057
+0.019016
+0.0205594
+0.0222072
+0.0239423
+0.0257469
+0.0276004
+0.0294979
+0.0314335
+0.0333962
+0.0330599
+0.0327077
+0.032491
+0.0324012
+0.0324593
+0.0326646
+0.0329956
+0.0334578
+0.0340488
+0.0697328
+0.0693864
+0.0691077
+0.0688976
+0.0687566
+0.0686853
+0.0686838
+0.0687522
+0.0688883
+0.0690821
+0.0693445
+0.0696749
+0.0700722
+0.0705354
+0.0710631
+0.071654
+0.0723064
+0.0730187
+0.0721218
+0.0705359
+0.0689831
+0.0674657
+0.0659861
+0.064547
+0.0630327
+0.0614386
+0.0598822
+0.0583666
+0.056895
+0.0554696
+0.0540942
+0.0527739
+0.051513
+0.0503159
+0.0491873
+0.0481318
+0.0471398
+0.0462282
+0.0454041
+0.0446723
+0.0440374
+0.0435037
+0.043075
+0.0427543
+0.0425441
+0.0424461
+0.0421289
+0.0401584
+0.0381999
+0.0362647
+0.0343555
+0.0324819
+0.0306503
+0.0288689
+0.0271474
+0.0254904
+0.0239164
+0.0224461
+0.0211012
+0.0198824
+0.0188311
+0.0179502
+0.0172872
+0.0167099
+0.0162373
+0.0158278
+0.0156689
+0.015717
+0.015568
+0.0154758
+0.0153887
+0.0153837
+0.0153016
+0.0151844
+0.0151498
+0.0151259
+0.0152885
+0.0156842
+0.0162915
+0.0170869
+0.0180888
+0.0192401
+0.0205384
+0.0219789
+0.0235301
+0.0251742
+0.0268962
+0.0286755
+0.0305062
+0.0323816
+0.0342901
+0.0349327
+0.0345995
+0.0343948
+0.03431
+0.0343649
+0.0345589
+0.0348737
+0.0353037
+0.0358441
+0.0716124
+0.0712751
+0.0710038
+0.0707993
+0.0706622
+0.0705928
+0.0705913
+0.0706578
+0.0707913
+0.0709799
+0.0712354
+0.071557
+0.071944
+0.0723952
+0.0729094
+0.0734854
+0.0741217
+0.0744249
+0.0728232
+0.0712529
+0.069716
+0.0682149
+0.066752
+0.0653298
+0.0637904
+0.0622157
+0.0606793
+0.0591841
+0.0577333
+0.0563291
+0.0549752
+0.0536766
+0.0524374
+0.0512619
+0.0501537
+0.0491034
+0.0481293
+0.0472369
+0.0464306
+0.0457153
+0.0450951
+0.0445741
+0.0441557
+0.0438429
+0.043638
+0.0435424
+0.0429964
+0.0410638
+0.0391435
+0.037253
+0.0353972
+0.0335818
+0.0318136
+0.0301006
+0.0284445
+0.0268649
+0.0253763
+0.0239956
+0.0227274
+0.0215925
+0.0206285
+0.019827
+0.0192237
+0.0187225
+0.018339
+0.0179774
+0.01784
+0.017888
+0.017757
+0.0176654
+0.0175666
+0.0175675
+0.0174908
+0.0173512
+0.0173101
+0.017286
+0.017436
+0.0177791
+0.0183064
+0.0190209
+0.0199102
+0.0209737
+0.0221707
+0.0235114
+0.0249726
+0.02653
+0.0281693
+0.0298729
+0.0316343
+0.0334466
+0.0352975
+0.0368405
+0.0365247
+0.036331
+0.0362507
+0.0363026
+0.0364863
+0.0367774
+0.0371676
+0.0376813
+0.0735092
+0.0731806
+0.0729164
+0.0727173
+0.0725838
+0.0725162
+0.0725148
+0.0725796
+0.0727101
+0.0728942
+0.073143
+0.0734563
+0.0738333
+0.074273
+0.0747743
+0.0753361
+0.0759569
+0.0751686
+0.0735831
+0.0720294
+0.0705094
+0.0690256
+0.0675802
+0.0661758
+0.0646118
+0.0630577
+0.0615423
+0.0600685
+0.0586396
+0.0572589
+0.0559282
+0.0546522
+0.0534357
+0.0522803
+0.0511793
+0.0501499
+0.0491966
+0.0483238
+0.047536
+0.0468375
+0.0462324
+0.0457243
+0.0453166
+0.0450119
+0.0448123
+0.0447193
+0.0439558
+0.0420534
+0.0401805
+0.0383412
+0.0365407
+0.034785
+0.0330782
+0.0314262
+0.0298437
+0.0283422
+0.0269354
+0.0256312
+0.0244348
+0.0233829
+0.0224958
+0.0217626
+0.0212025
+0.0207696
+0.0204434
+0.0201358
+0.0200124
+0.0200632
+0.0199463
+0.0198552
+0.0197402
+0.0197526
+0.0196804
+0.0195233
+0.019477
+0.019453
+0.019593
+0.0198859
+0.0203525
+0.020998
+0.0217996
+0.0227844
+0.0238925
+0.0251415
+0.026513
+0.0279889
+0.0295501
+0.0311784
+0.0328699
+0.0346175
+0.036409
+0.0382284
+0.0384757
+0.0382748
+0.0381986
+0.0382399
+0.0383902
+0.0386642
+0.0390594
+0.0395545
+0.0754219
+0.0751017
+0.0748443
+0.0746503
+0.0745203
+0.0744545
+0.0744531
+0.0745161
+0.0746435
+0.0748237
+0.0750661
+0.0753714
+0.0757388
+0.0761676
+0.0766565
+0.0772045
+0.0775668
+0.0759682
+0.0743998
+0.0728634
+0.0713613
+0.0698956
+0.0684685
+0.0670533
+0.0654838
+0.0639508
+0.0624571
+0.0610055
+0.059599
+0.058241
+0.056935
+0.0556845
+0.0544934
+0.0533545
+0.0522761
+0.0512687
+0.0503366
+0.0494839
+0.0487149
+0.0480336
+0.0474437
+0.0469487
+0.0465517
+0.0462551
+0.0460609
+0.0459704
+0.0449886
+0.0431318
+0.0413077
+0.0395209
+0.0377767
+0.0360761
+0.0344286
+0.0328446
+0.0313337
+0.0299072
+0.0285758
+0.0273328
+0.0262142
+0.0252366
+0.0244155
+0.0237307
+0.0232149
+0.0228334
+0.0225371
+0.0223005
+0.0221859
+0.0222415
+0.0221359
+0.0220452
+0.0219172
+0.0219355
+0.0218701
+0.0216992
+0.0216486
+0.0216237
+0.0217468
+0.0220027
+0.0224258
+0.023007
+0.0237409
+0.0246482
+0.0256858
+0.0268516
+0.0281398
+0.0295346
+0.0310214
+0.032579
+0.0342013
+0.0358841
+0.0376153
+0.0393791
+0.0403917
+0.0402003
+0.0401278
+0.0401679
+0.040311
+0.040572
+0.0409488
+0.0414278
+0.0773493
+0.0770372
+0.0767863
+0.0765972
+0.0764704
+0.0764063
+0.076405
+0.0764664
+0.0765905
+0.0767672
+0.0770034
+0.0773011
+0.0776594
+0.0780776
+0.0785547
+0.0790895
+0.0784032
+0.076822
+0.0752714
+0.0737532
+0.0722696
+0.0708226
+0.0694146
+0.0679645
+0.0664165
+0.0649056
+0.0634344
+0.0620056
+0.0606224
+0.0592879
+0.0580054
+0.0567785
+0.0556109
+0.0544956
+0.0534402
+0.0524552
+0.0515445
+0.0507121
+0.049962
+0.049298
+0.0487234
+0.0482416
+0.0478553
+0.0475668
+0.047378
+0.04729
+0.0461023
+0.0442923
+0.042518
+0.0407841
+0.0390896
+0.0374465
+0.035862
+0.0343442
+0.0329023
+0.0315467
+0.0302704
+0.0290999
+0.0280518
+0.0271405
+0.0263649
+0.0257312
+0.0252553
+0.0249182
+0.0246469
+0.0244698
+0.0243624
+0.024422
+0.0243257
+0.0242353
+0.0240967
+0.0241136
+0.0240601
+0.0238777
+0.0238236
+0.0237968
+0.0239066
+0.0241327
+0.0245193
+0.0250451
+0.0257208
+0.0265606
+0.0275367
+0.0286272
+0.0298388
+0.0311576
+0.0325705
+0.034063
+0.0356178
+0.0372367
+0.0389077
+0.0406154
+0.0423343
+0.0421518
+0.0420826
+0.0421215
+0.042258
+0.0425071
+0.0428668
+0.0433301
+0.0792905
+0.078986
+0.0787413
+0.0785569
+0.0784333
+0.0783708
+0.0783695
+0.0784294
+0.0785504
+0.0787236
+0.078954
+0.0792444
+0.0795939
+0.080002
+0.0804677
+0.0808836
+0.0792913
+0.0777282
+0.076196
+0.0746966
+0.0732321
+0.0718045
+0.0704162
+0.0689333
+0.0674076
+0.0659194
+0.0644713
+0.0630661
+0.0617066
+0.0603961
+0.0591376
+0.0579347
+0.0567909
+0.0556995
+0.0546674
+0.0537048
+0.0528157
+0.0520037
+0.0512725
+0.0506256
+0.0500663
+0.0495975
+0.0492218
+0.0489414
+0.0487579
+0.0486725
+0.0472914
+0.0455287
+0.0438025
+0.0421154
+0.0404765
+0.0388921
+0.0373689
+0.0359148
+0.0345386
+0.0332372
+0.0320252
+0.0309212
+0.029937
+0.0290848
+0.0283487
+0.0277603
+0.027319
+0.0270197
+0.0267697
+0.0266418
+0.0265412
+0.0265779
+0.0265094
+0.0264212
+0.0262781
+0.0262938
+0.0262256
+0.0260583
+0.0260012
+0.0259717
+0.0260715
+0.0262709
+0.0266243
+0.0271002
+0.0277259
+0.0285067
+0.0294302
+0.0304568
+0.0315985
+0.0328467
+0.0341898
+0.0356171
+0.0371096
+0.0386661
+0.0402779
+0.0419298
+0.0436292
+0.0441257
+0.0440596
+0.0440974
+0.0442278
+0.0444658
+0.0448099
+0.0452573
+0.0812443
+0.0809472
+0.0807084
+0.0805285
+0.080408
+0.080347
+0.0803457
+0.0804042
+0.0805222
+0.0806921
+0.0809169
+0.0812002
+0.0815414
+0.0819398
+0.0823945
+0.0818034
+0.0802294
+0.0786849
+0.0771717
+0.0756917
+0.0742468
+0.0728391
+0.0714709
+0.0699574
+0.0684545
+0.0669896
+0.0655651
+0.0641838
+0.0628486
+0.0615623
+0.0603282
+0.0591495
+0.0580296
+0.0569622
+0.0559534
+0.0550134
+0.0541457
+0.053354
+0.0526415
+0.0520117
+0.0514674
+0.0510115
+0.0506463
+0.0503739
+0.0501956
+0.0501126
+0.0485461
+0.0468299
+0.045151
+0.0435162
+0.0419321
+0.0404048
+0.0389408
+0.0375477
+0.0362259
+0.0349804
+0.033831
+0.0327878
+0.0318613
+0.0310548
+0.030361
+0.0298124
+0.029401
+0.029124
+0.0289027
+0.0288155
+0.0287219
+0.0287314
+0.0286746
+0.0285857
+0.0284608
+0.0284756
+0.0283949
+0.0282405
+0.0281809
+0.0281483
+0.0282404
+0.0284128
+0.0287399
+0.0291746
+0.0297568
+0.0304856
+0.0313508
+0.0323315
+0.0334091
+0.034592
+0.0358699
+0.0372328
+0.0386681
+0.0401642
+0.0417147
+0.0433151
+0.0449622
+0.0461192
+0.0460559
+0.0460927
+0.0462175
+0.0464454
+0.0467748
+0.0472037
+0.0832099
+0.0829198
+0.0826868
+0.0825112
+0.0823936
+0.0823341
+0.0823328
+0.0823899
+0.082505
+0.0826718
+0.0828913
+0.0831678
+0.083501
+0.0838901
+0.0843342
+0.0827711
+0.0812158
+0.0796904
+0.0781967
+0.0767364
+0.0753116
+0.0739239
+0.0725499
+0.0710343
+0.0695547
+0.0681134
+0.0667129
+0.0653559
+0.0640451
+0.0627833
+0.0615737
+0.0604193
+0.0593234
+0.05828
+0.0572944
+0.0563767
+0.0555304
+0.0547586
+0.0540647
+0.0534516
+0.0529222
+0.0524789
+0.052124
+0.0518593
+0.0516862
+0.0515714
+0.0498631
+0.0481937
+0.0465635
+0.0449801
+0.0434494
+0.0419773
+0.0405702
+0.0392317
+0.0379583
+0.0367715
+0.0356798
+0.0346923
+0.033818
+0.0330476
+0.0323965
+0.0318829
+0.0314978
+0.0312393
+0.0310437
+0.0309817
+0.0309039
+0.0308901
+0.0308371
+0.030754
+0.0306448
+0.0306587
+0.0305673
+0.0304239
+0.0303621
+0.0303269
+0.0304103
+0.0305616
+0.030866
+0.0312649
+0.0318088
+0.0324916
+0.0333048
+0.034239
+0.0352629
+0.0363856
+0.0376025
+0.0389049
+0.040284
+0.041723
+0.0432133
+0.0447611
+0.0463605
+0.048003
+0.0480692
+0.0481051
+0.0482246
+0.048443
+0.048759
+0.0491706
+0.0851865
+0.0849032
+0.0846756
+0.0845042
+0.0843893
+0.0843312
+0.08433
+0.0843857
+0.0844981
+0.0846619
+0.0848762
+0.0851463
+0.0854718
+0.0858519
+0.0853495
+0.0837848
+0.0822487
+0.0807429
+0.0792689
+0.0778284
+0.0764235
+0.0750563
+0.073654
+0.0721616
+0.0707056
+0.0692882
+0.067912
+0.0665794
+0.0652932
+0.064056
+0.0628709
+0.0617407
+0.0606687
+0.0596491
+0.0586865
+0.0577909
+0.0569656
+0.0562136
+0.0555378
+0.0549412
+0.0544262
+0.0539953
+0.0536504
+0.0533933
+0.0532252
+0.0529038
+0.05124
+0.0496167
+0.0480345
+0.0465011
+0.0450222
+0.0436033
+0.0422503
+0.0409541
+0.039736
+0.0386039
+0.0375655
+0.0366288
+0.0358004
+0.035064
+0.034451
+0.0339685
+0.0336066
+0.0333643
+0.0331912
+0.0331332
+0.0330871
+0.033053
+0.0330032
+0.0329253
+0.0328296
+0.0328428
+0.0327421
+0.0326082
+0.0325446
+0.0325071
+0.0325747
+0.0327159
+0.0329957
+0.033368
+0.0338782
+0.0345201
+0.0352866
+0.0361696
+0.0371495
+0.0382169
+0.0393773
+0.0406227
+0.0419457
+0.0433322
+0.0447689
+0.0462648
+0.0478142
+0.0494122
+0.0500974
+0.0501324
+0.0502471
+0.0504567
+0.0507602
+0.0511557
+0.0871734
+0.0868965
+0.0866741
+0.0865067
+0.0863945
+0.0863377
+0.0863365
+0.0863909
+0.0865008
+0.0866616
+0.086871
+0.0871349
+0.087453
+0.0878246
+0.0863885
+0.084843
+0.0833262
+0.0818398
+0.0803857
+0.0789655
+0.0775813
+0.0762348
+0.074806
+0.073337
+0.0719048
+0.0705116
+0.0691597
+0.0678517
+0.06659
+0.0653774
+0.0642166
+0.0631106
+0.0620622
+0.0610661
+0.0601262
+0.0592524
+0.0584477
+0.057715
+0.057057
+0.0564764
+0.0559756
+0.0555567
+0.0552216
+0.0549718
+0.0548085
+0.054292
+0.0526721
+0.0510939
+0.0495586
+0.0480739
+0.0466449
+0.0452768
+0.0439641
+0.0427195
+0.0415531
+0.0404719
+0.0394826
+0.0385925
+0.0377972
+0.0371001
+0.0365213
+0.0360665
+0.0357252
+0.0354974
+0.035344
+0.0352895
+0.0352712
+0.0352193
+0.0351718
+0.0350989
+0.0350151
+0.0350277
+0.0349189
+0.0347934
+0.0347282
+0.0346886
+0.0347423
+0.0348748
+0.0351318
+0.0354817
+0.035962
+0.0365673
+0.0372917
+0.0381284
+0.0390618
+0.0400783
+0.0411862
+0.0423786
+0.0436484
+0.044989
+0.0463759
+0.0478215
+0.0493221
+0.0508728
+0.0521387
+0.0521729
+0.0522831
+0.0524846
+0.0527764
+0.0531569
+0.0891698
+0.0888991
+0.0886817
+0.0885181
+0.0884084
+0.088353
+0.0883518
+0.088405
+0.0885123
+0.0886704
+0.088875
+0.0891331
+0.089444
+0.0890238
+0.0874697
+0.0859433
+0.0844461
+0.0829798
+0.081546
+0.0801464
+0.0787829
+0.0774574
+0.0760037
+0.0745583
+0.07315
+0.071781
+0.0704535
+0.0691699
+0.0679327
+0.0667445
+0.0656079
+0.0645257
+0.0634984
+0.0625184
+0.0616008
+0.0607484
+0.059964
+0.0592501
+0.0586096
+0.0580447
+0.0575576
+0.0571505
+0.0568249
+0.0565824
+0.0564239
+0.0557318
+0.0541549
+0.0526208
+0.0511312
+0.0496935
+0.0483124
+0.0469855
+0.0457182
+0.0445226
+0.0434048
+0.0423708
+0.0414269
+0.0405794
+0.0398141
+0.039153
+0.038605
+0.038175
+0.0378521
+0.037637
+0.0375011
+0.0374498
+0.0374561
+0.0373885
+0.037343
+0.0372746
+0.0372013
+0.0372133
+0.0370973
+0.0369792
+0.0369126
+0.0368677
+0.0369127
+0.0370374
+0.0372743
+0.0376043
+0.0380577
+0.0386302
+0.0393167
+0.0401111
+0.0410019
+0.0419714
+0.0430307
+0.0441733
+0.0453929
+0.0466835
+0.0480291
+0.0494263
+0.0508796
+0.0523842
+0.0539358
+0.0542251
+0.0543312
+0.0545251
+0.054806
+0.0551726
+0.0877839
+0.0863107
+0.0848602
+0.0834422
+0.0820057
+0.0805982
+0.0792262
+0.0778586
+0.0764752
+0.0751302
+0.0738165
+0.0724596
+0.0711337
+0.0698384
+0.0685674
+0.0673161
+0.0660256
+0.0647732
+0.0635716
+0.0624238
+0.0613213
+0.0602153
+0.0591118
+0.0580569
+0.0570562
+0.0561232
+0.0552614
+0.0544043
+0.0534291
+0.0525127
+0.0516673
+0.0508915
+0.0501389
+0.0494582
+0.0488371
+0.0482646
+0.0477739
+0.0468947
+0.0460981
+0.0453572
+0.044697
+0.0441199
+0.0436337
+0.043253
+0.0429807
+0.042819
+0.0427111
+0.0427082
+0.0428135
+0.0430126
+0.0433217
+0.0437384
+0.0442423
+0.0448028
+0.0454621
+0.0462159
+0.0470597
+0.0479888
+0.0489982
+0.0500707
+0.0512111
+0.0511215
+0.0501519
+0.0491256
+0.0481771
+0.0473111
+0.0465321
+0.0458392
+0.0452366
+0.0447333
+0.0443327
+0.0440375
+0.0438499
+0.0437712
+0.0438022
+0.0439363
+0.0441638
+0.0444982
+0.0449369
+0.0453887
+0.0457854
+0.0462824
+0.0468767
+0.0475645
+0.0483419
+0.0492047
+0.0501483
+0.0511651
+0.0522491
+0.0534011
+0.0546166
+0.0558916
+0.0572222
+0.0586044
+0.0600347
+0.0615098
+0.0630266
+0.064582
+0.0658017
+0.0669861
+0.0861458
+0.0847079
+0.0832326
+0.0817863
+0.0803664
+0.0789296
+0.0775282
+0.0761639
+0.0747891
+0.0734133
+0.0720777
+0.0707494
+0.0693981
+0.0680831
+0.0667896
+0.0655328
+0.0642677
+0.0629803
+0.0617438
+0.0605614
+0.0594346
+0.0583418
+0.0572227
+0.0561457
+0.0551103
+0.0541438
+0.0532499
+0.0524108
+0.0514746
+0.0505227
+0.0496493
+0.0488426
+0.0480873
+0.0473771
+0.0467517
+0.0461535
+0.0456488
+0.044878
+0.0440499
+0.043285
+0.0425997
+0.0419998
+0.0414887
+0.0410881
+0.0408014
+0.040631
+0.0405215
+0.0405184
+0.0406284
+0.0408381
+0.0411636
+0.041602
+0.0421161
+0.0427046
+0.0433957
+0.0441848
+0.0450667
+0.0460359
+0.0470816
+0.0481932
+0.0493769
+0.0490952
+0.0482775
+0.0472105
+0.0462227
+0.0453193
+0.0445056
+0.0437844
+0.0431531
+0.0426252
+0.0422045
+0.0418944
+0.0416971
+0.0416144
+0.0416469
+0.0417864
+0.0420256
+0.0423768
+0.0428351
+0.043228
+0.0436443
+0.0441655
+0.0447878
+0.0455072
+0.0463192
+0.0472189
+0.0482014
+0.0492539
+0.050379
+0.0515728
+0.0528304
+0.0541475
+0.0555198
+0.0569434
+0.0584144
+0.0599294
+0.0614852
+0.0630196
+0.0641805
+0.0653942
+0.0845285
+0.0830711
+0.081629
+0.0801562
+0.0787143
+0.0772872
+0.0758554
+0.0744605
+0.0731047
+0.0717221
+0.0703545
+0.0690293
+0.0676851
+0.0663401
+0.0650369
+0.0637456
+0.0624982
+0.0612132
+0.0599403
+0.0587216
+0.0575604
+0.0564537
+0.0553558
+0.0542419
+0.0531834
+0.0521812
+0.0512532
+0.0504033
+0.0495355
+0.0485501
+0.0476405
+0.0468066
+0.0460476
+0.0453055
+0.0446586
+0.0440499
+0.0435221
+0.0428783
+0.0420108
+0.041225
+0.0405116
+0.0398852
+0.0393487
+0.0389262
+0.0386234
+0.0384433
+0.038332
+0.0383287
+0.0384439
+0.0386655
+0.0390091
+0.0394714
+0.0399969
+0.040616
+0.0413421
+0.0421696
+0.0430928
+0.0441054
+0.0451861
+0.0463431
+0.0475729
+0.0470837
+0.0463724
+0.0453203
+0.0442904
+0.0433468
+0.0424953
+0.0417414
+0.0410807
+0.0405258
+0.0400831
+0.0397564
+0.0395485
+0.0394613
+0.0394956
+0.0396409
+0.039893
+0.0402628
+0.0407425
+0.0410704
+0.0415084
+0.042056
+0.0427092
+0.043463
+0.0443124
+0.045252
+0.0462721
+0.0473668
+0.0485358
+0.0497738
+0.0510757
+0.0524369
+0.0538528
+0.0553193
+0.0568324
+0.0583885
+0.0599842
+0.0614031
+0.062594
+0.0638379
+0.0829335
+0.0814545
+0.0799982
+0.0785516
+0.0770815
+0.0756444
+0.0742095
+0.0727831
+0.0713955
+0.0700488
+0.0686579
+0.0672993
+0.0659855
+0.0646241
+0.0632858
+0.0619843
+0.0607071
+0.0594544
+0.0581634
+0.0569066
+0.0557076
+0.0545703
+0.053478
+0.0523604
+0.051275
+0.0502375
+0.0492729
+0.0483882
+0.0475398
+0.0465969
+0.0456484
+0.0447851
+0.0439971
+0.0432456
+0.0425674
+0.0419553
+0.0414021
+0.0408957
+0.0399879
+0.0391789
+0.0384298
+0.0377748
+0.0372147
+0.0367676
+0.036447
+0.036256
+0.0361426
+0.0361392
+0.0362603
+0.0364951
+0.0368589
+0.0373479
+0.0378858
+0.0385389
+0.0393033
+0.0401729
+0.0411408
+0.0421922
+0.0433184
+0.044524
+0.0458027
+0.0450889
+0.0443457
+0.0434584
+0.0423832
+0.0413962
+0.0405037
+0.0397121
+0.0390213
+0.0384367
+0.0379696
+0.0376245
+0.0374048
+0.0373126
+0.0373488
+0.0375008
+0.0377671
+0.0381576
+0.0385738
+0.0389166
+0.0393785
+0.0399554
+0.0406423
+0.0414337
+0.0423239
+0.0433066
+0.0443665
+0.0455071
+0.0467226
+0.0480073
+0.0493559
+0.0507632
+0.0522245
+0.0537355
+0.0552919
+0.0568901
+0.0585267
+0.0598232
+0.0610449
+0.0623197
+0.0813565
+0.0798582
+0.0783812
+0.0769274
+0.0754759
+0.0740087
+0.0725769
+0.0711337
+0.0697132
+0.0683334
+0.06699
+0.0655968
+0.0642482
+0.062923
+0.0615628
+0.0602341
+0.0589365
+0.057675
+0.0564148
+0.055119
+0.0538803
+0.0527035
+0.0515915
+0.0505038
+0.0493777
+0.048315
+0.0473111
+0.0463891
+0.0455538
+0.0446657
+0.0436753
+0.0427743
+0.0419547
+0.0411992
+0.0404867
+0.0398709
+0.0392899
+0.0388184
+0.0379835
+0.0371309
+0.0363587
+0.0356741
+0.0350876
+0.0346131
+0.0342723
+0.0340692
+0.0339534
+0.0339497
+0.0340775
+0.0343273
+0.0347138
+0.0352165
+0.0357842
+0.036475
+0.0372818
+0.0381974
+0.0392137
+0.0403048
+0.0414823
+0.0427397
+0.0439845
+0.0431131
+0.0423353
+0.0416285
+0.0405048
+0.0394708
+0.0385337
+0.0377008
+0.0369769
+0.0363594
+0.0358654
+0.0354998
+0.0352668
+0.035169
+0.0352075
+0.0353667
+0.035649
+0.0360624
+0.036404
+0.0367671
+0.0372557
+0.0378649
+0.038589
+0.0394217
+0.0403563
+0.0413805
+0.0424883
+0.043678
+0.044943
+0.0462771
+0.0476747
+0.0491302
+0.0506387
+0.0521955
+0.0537965
+0.0554379
+0.057086
+0.0582827
+0.0595361
+0.0608425
+0.0797467
+0.078286
+0.0767847
+0.0753081
+0.0738588
+0.0724018
+0.0709381
+0.0695122
+0.0680599
+0.0666459
+0.0652748
+0.0639241
+0.0625394
+0.0612018
+0.059859
+0.0585033
+0.0571868
+0.0558941
+0.0546439
+0.0533614
+0.0520809
+0.0508625
+0.0497109
+0.0486211
+0.0475055
+0.0464101
+0.0453703
+0.044408
+0.0435347
+0.0426751
+0.041724
+0.0407799
+0.039928
+0.0391647
+0.0384183
+0.0377805
+0.0371854
+0.0366871
+0.0360008
+0.0351001
+0.0343025
+0.0335844
+0.0329689
+0.0324634
+0.0320998
+0.0318829
+0.0317645
+0.0317605
+0.0318958
+0.0321625
+0.0325747
+0.0330904
+0.0336941
+0.0344267
+0.0352805
+0.0362466
+0.0373051
+0.0384496
+0.0396822
+0.0409949
+0.0420586
+0.041159
+0.0403436
+0.0396181
+0.0386592
+0.0375744
+0.0365888
+0.0357106
+0.0349478
+0.0342963
+0.0337721
+0.0333836
+0.0331358
+0.0330317
+0.0330726
+0.0332378
+0.033538
+0.033977
+0.034237
+0.0346228
+0.0351412
+0.0357864
+0.0365517
+0.0374298
+0.0384123
+0.0394819
+0.0406415
+0.0418836
+0.0432012
+0.0445875
+0.0460364
+0.0475421
+0.0490993
+0.0507035
+0.0523501
+0.0540355
+0.055556
+0.0567851
+0.0580708
+0.0594004
+0.0781651
+0.0766743
+0.0752143
+0.0737133
+0.0722371
+0.0707928
+0.0693296
+0.0678701
+0.0664371
+0.0649883
+0.0635815
+0.06222
+0.0608615
+0.0594862
+0.0581609
+0.0567986
+0.0554474
+0.0541433
+0.0528582
+0.0516035
+0.0503126
+0.0490503
+0.0478551
+0.046732
+0.0456512
+0.044521
+0.0434533
+0.0424475
+0.0415331
+0.0406967
+0.0397976
+0.0388066
+0.0379165
+0.037115
+0.0363641
+0.0356897
+0.0350912
+0.0345628
+0.0340202
+0.0330897
+0.0322566
+0.0315024
+0.030855
+0.0303196
+0.02993
+0.0296972
+0.0295757
+0.0295715
+0.0297154
+0.0300015
+0.030443
+0.0309734
+0.0316175
+0.0323972
+0.0333029
+0.0343228
+0.0354283
+0.0366315
+0.0379233
+0.0392947
+0.0401599
+0.03923
+0.0383737
+0.0376103
+0.0368514
+0.0357118
+0.0346733
+0.0337452
+0.0329369
+0.0322501
+0.031692
+0.0312777
+0.031013
+0.0309017
+0.0309455
+0.0311167
+0.0314372
+0.0318075
+0.0320732
+0.0324847
+0.0330366
+0.0337222
+0.0345332
+0.0354613
+0.0364908
+0.037615
+0.0388304
+0.0401286
+0.0415019
+0.0429431
+0.0444457
+0.0460034
+0.0476111
+0.0492637
+0.0509569
+0.0526868
+0.0540716
+0.0553336
+0.0566439
+0.0580004
+0.0765952
+0.0750919
+0.073604
+0.0721438
+0.0706442
+0.0691686
+0.0677296
+0.0662597
+0.0648049
+0.0633626
+0.0619195
+0.0605206
+0.0591698
+0.0578027
+0.0564379
+0.0551173
+0.0537411
+0.0523965
+0.0510973
+0.04983
+0.0485672
+0.0472702
+0.0460287
+0.04486
+0.0437684
+0.0426607
+0.041553
+0.0405107
+0.0395514
+0.0386926
+0.0378191
+0.0368579
+0.0359195
+0.0350823
+0.0343269
+0.0336116
+0.0330096
+0.0324473
+0.032025
+0.0311037
+0.0302158
+0.029433
+0.0287495
+0.028183
+0.0277634
+0.0275123
+0.0273873
+0.0273827
+0.0275366
+0.0278452
+0.0283203
+0.0288674
+0.0295574
+0.03039
+0.0313538
+0.0324215
+0.0335896
+0.0348563
+0.0362114
+0.0376453
+0.0382923
+0.0373162
+0.036429
+0.0356241
+0.0349312
+0.0338885
+0.0327923
+0.0318093
+0.0309505
+0.030224
+0.0296278
+0.0291843
+0.0289004
+0.028781
+0.0288252
+0.0290059
+0.0293494
+0.0296282
+0.0299132
+0.0303541
+0.030944
+0.0316749
+0.032537
+0.0335191
+0.0346012
+0.0357848
+0.0370603
+0.0384184
+0.0398507
+0.0413495
+0.0429078
+0.0445195
+0.0461788
+0.0478809
+0.0496213
+0.0513962
+0.0526365
+0.0539246
+0.055261
+0.0566506
+0.0750415
+0.073523
+0.0720208
+0.0705362
+0.0690758
+0.0675765
+0.0661029
+0.0646699
+0.0631923
+0.0617429
+0.0602906
+0.0588537
+0.0574637
+0.0561248
+0.0547483
+0.0533954
+0.0520547
+0.0506821
+0.0493514
+0.048058
+0.0468046
+0.0455259
+0.0442355
+0.0430181
+0.0418799
+0.0408036
+0.0396745
+0.038601
+0.037593
+0.0366884
+0.0358404
+0.0349379
+0.0339465
+0.0330695
+0.0322931
+0.0315487
+0.0309244
+0.0303425
+0.0298904
+0.0291251
+0.0281976
+0.0273825
+0.0266573
+0.0260554
+0.025601
+0.0253284
+0.0251993
+0.0251943
+0.02536
+0.0256946
+0.0261951
+0.026775
+0.0275175
+0.0284099
+0.0294336
+0.0305588
+0.0317954
+0.0331309
+0.0345537
+0.0360536
+0.0364586
+0.0354343
+0.0345103
+0.0336633
+0.0329344
+0.0321111
+0.030952
+0.0299086
+0.0289936
+0.0282192
+0.0275832
+0.0271062
+0.0268004
+0.0266715
+0.026713
+0.0269079
+0.0272778
+0.0274508
+0.0277581
+0.0282326
+0.028866
+0.0296481
+0.0305675
+0.0316037
+0.0327492
+0.0339974
+0.0353374
+0.0367592
+0.0382537
+0.0398126
+0.0414288
+0.0430958
+0.0448079
+0.0465601
+0.0483481
+0.0499859
+0.0512483
+0.0525615
+0.0539317
+0.0553547
+0.0735166
+0.0719698
+0.070453
+0.0689522
+0.0674712
+0.0660094
+0.0645095
+0.0630403
+0.0616058
+0.0601281
+0.0586843
+0.0572213
+0.0557914
+0.0544114
+0.0530859
+0.0516992
+0.0503596
+0.0489967
+0.0476282
+0.0463134
+0.0450267
+0.0437682
+0.0424795
+0.0412102
+0.0400207
+0.0389182
+0.0378297
+0.0367069
+0.0356617
+0.0347067
+0.0338589
+0.0329756
+0.0320018
+0.0310712
+0.0302537
+0.0295042
+0.0288358
+0.0282507
+0.0277646
+0.0271713
+0.0262071
+0.0253371
+0.0245752
+0.0239392
+0.0234437
+0.0231458
+0.0230118
+0.0230063
+0.0231859
+0.0235515
+0.0240698
+0.0246996
+0.0255026
+0.0264631
+0.0275431
+0.0287425
+0.0300539
+0.0314634
+0.0329583
+0.0345275
+0.034657
+0.0335897
+0.0326178
+0.0317326
+0.0309582
+0.0302618
+0.0291601
+0.0280502
+0.0270724
+0.0262415
+0.0255605
+0.025045
+0.0247137
+0.0245739
+0.0246145
+0.0248259
+0.0251294
+0.0252756
+0.0256091
+0.0261226
+0.0268059
+0.0276463
+0.0286277
+0.0297264
+0.0309414
+0.0322596
+0.0336689
+0.0351582
+0.0367179
+0.0383394
+0.0400151
+0.0417386
+0.0435041
+0.0453068
+0.0471424
+0.0486221
+0.0499082
+0.0512557
+0.0526599
+0.0541164
+0.0720262
+0.0704466
+0.0689005
+0.0673855
+0.0658863
+0.0644093
+0.0629459
+0.0614455
+0.0599813
+0.0585416
+0.0570675
+0.0556126
+0.0541553
+0.0527333
+0.0513646
+0.0500414
+0.0486562
+0.0473318
+0.045944
+0.0445804
+0.0432799
+0.0420052
+0.0407392
+0.0394413
+0.0381967
+0.0370399
+0.03597
+0.0348427
+0.033762
+0.0327517
+0.0318601
+0.0309975
+0.0300859
+0.0290973
+0.0282297
+0.0274823
+0.0267634
+0.0261752
+0.0256498
+0.0252279
+0.0242313
+0.0233082
+0.0225085
+0.0218267
+0.0212934
+0.0209649
+0.0208249
+0.0208189
+0.0210153
+0.021418
+0.0219573
+0.0226459
+0.0235192
+0.024548
+0.0257004
+0.0269819
+0.0283748
+0.0298636
+0.0314346
+0.0330763
+0.0329025
+0.0317887
+0.0307628
+0.0298333
+0.0290129
+0.0282683
+0.0274263
+0.0262432
+0.0251953
+0.0243003
+0.0235633
+0.0230031
+0.0226418
+0.0224892
+0.0225336
+0.0227643
+0.0229433
+0.0231033
+0.0234677
+0.0240271
+0.0247682
+0.0256755
+0.0267209
+0.0278948
+0.0291862
+0.0305801
+0.0320633
+0.0336238
+0.0352515
+0.0369374
+0.0386739
+0.0404546
+0.0422738
+0.0441267
+0.0460094
+0.0473091
+0.04863
+0.0500119
+0.05145
+0.0529398
+0.0705723
+0.0689594
+0.0673791
+0.0658339
+0.0643211
+0.0628236
+0.0613511
+0.0598859
+0.0583852
+0.0569266
+0.0554812
+0.0540108
+0.0525441
+0.0510933
+0.0496802
+0.0483243
+0.0469932
+0.0456206
+0.044284
+0.0428893
+0.04154
+0.0402464
+0.0389892
+0.0377166
+0.0364131
+0.0351978
+0.0340801
+0.0330186
+0.0318769
+0.0308283
+0.0298795
+0.0290402
+0.0281513
+0.0271517
+0.0262294
+0.0254418
+0.0247115
+0.0241093
+0.0235418
+0.0231242
+0.0222791
+0.0213114
+0.0204677
+0.0197304
+0.0191521
+0.0187863
+0.018639
+0.0186323
+0.0188494
+0.0192973
+0.0198618
+0.0206205
+0.0215759
+0.0226735
+0.0239165
+0.0252885
+0.0267697
+0.0283429
+0.0299937
+0.03171
+0.0312032
+0.0300283
+0.0289522
+0.0279676
+0.0271051
+0.0263062
+0.0256446
+0.0244988
+0.0233729
+0.0224051
+0.0216036
+0.0209911
+0.0205947
+0.0204267
+0.0204756
+0.0207292
+0.0207581
+0.0209349
+0.0213364
+0.0219501
+0.022759
+0.0237392
+0.024861
+0.0261186
+0.0274935
+0.028969
+0.0305306
+0.0321655
+0.0338634
+0.035615
+0.037413
+0.0392509
+0.0411234
+0.0430259
+0.0446913
+0.0460629
+0.0474185
+0.0488347
+0.0503065
+0.0518291
+0.0690732
+0.0675105
+0.0658955
+0.0643146
+0.0627704
+0.06126
+0.0597645
+0.058297
+0.0568288
+0.0553291
+0.0538768
+0.0524252
+0.0509582
+0.0494792
+0.0480358
+0.0466331
+0.0452919
+0.043952
+0.042594
+0.0412315
+0.0398403
+0.0385089
+0.0372236
+0.0359601
+0.0346762
+0.0333977
+0.0322177
+0.0311471
+0.0300325
+0.0289389
+0.0279302
+0.0270572
+0.0261753
+0.0252462
+0.0242582
+0.0234141
+0.0226855
+0.022028
+0.0214453
+0.0209895
+0.0203353
+0.0193398
+0.0184236
+0.0176481
+0.0170235
+0.0166108
+0.0164543
+0.0164467
+0.0166899
+0.0171854
+0.0177892
+0.0186325
+0.0196688
+0.0208608
+0.0222055
+0.0236768
+0.0252527
+0.0269148
+0.028648
+0.0304384
+0.0295493
+0.0283259
+0.0271881
+0.0261523
+0.0252405
+0.024383
+0.0236851
+0.0228315
+0.0216189
+0.0205688
+0.0196926
+0.0190187
+0.0185802
+0.0183939
+0.0184481
+0.0186115
+0.0185743
+0.0187717
+0.0192184
+0.0198975
+0.0207865
+0.0218451
+0.0230592
+0.0244098
+0.0258757
+0.0274384
+0.0290822
+0.0307942
+0.0325636
+0.0343815
+0.0362408
+0.0381352
+0.0400598
+0.0416457
+0.0432117
+0.0448217
+0.046279
+0.0477291
+0.049234
+0.0507887
+0.0675381
+0.0660095
+0.0644522
+0.062835
+0.0612535
+0.0597104
+0.0582028
+0.0567096
+0.0552479
+0.0537735
+0.052278
+0.0508329
+0.0493744
+0.0479096
+0.0464188
+0.0449838
+0.0435926
+0.0422685
+0.0409193
+0.0395785
+0.0381865
+0.0367996
+0.0354893
+0.0342143
+0.0329438
+0.031647
+0.0303991
+0.0292621
+0.0282192
+0.0270715
+0.0260194
+0.0250799
+0.0242362
+0.0233579
+0.0223208
+0.0214122
+0.020669
+0.0199701
+0.0193615
+0.0188677
+0.0183834
+0.0173905
+0.0164174
+0.0155867
+0.0149083
+0.01444
+0.0142715
+0.0142627
+0.0145397
+0.0150633
+0.0157486
+0.0166951
+0.0178198
+0.0191274
+0.0205856
+0.0221647
+0.0238408
+0.0255947
+0.0274075
+0.0292714
+0.0279619
+0.026695
+0.0254845
+0.024388
+0.0234138
+0.0225076
+0.0217568
+0.0211322
+0.0199514
+0.0188085
+0.0178461
+0.0170996
+0.0166105
+0.0164018
+0.0164626
+0.0164333
+0.0163924
+0.0166156
+0.0171187
+0.0178778
+0.018856
+0.0200117
+0.0213303
+0.0227837
+0.0243477
+0.0260023
+0.0277314
+0.0295218
+0.0313631
+0.0332467
+0.035166
+0.0370998
+0.0386084
+0.0401723
+0.0417846
+0.0434475
+0.0451473
+0.0467001
+0.0482371
+0.049823
+0.0660401
+0.064476
+0.0629492
+0.0613979
+0.0597784
+0.0581963
+0.0566547
+0.0551501
+0.0536597
+0.0522045
+0.0507234
+0.0492327
+0.0477959
+0.0463299
+0.0448491
+0.0433637
+0.0419351
+0.040557
+0.0392527
+0.0378971
+0.036568
+0.0351438
+0.0337693
+0.032477
+0.0312157
+0.0299391
+0.0286326
+0.0274225
+0.0263393
+0.0252562
+0.0241451
+0.0231412
+0.0222943
+0.0213878
+0.0204346
+0.019449
+0.0186373
+0.0179438
+0.017304
+0.0167637
+0.0164566
+0.0154582
+0.0144532
+0.0135492
+0.012804
+0.0122762
+0.0120838
+0.0120811
+0.0124038
+0.012964
+0.0137543
+0.0148024
+0.0160569
+0.0174968
+0.01908
+0.0207739
+0.0225519
+0.0243934
+0.0262885
+0.0278773
+0.0264551
+0.0251226
+0.0238605
+0.0226857
+0.0216352
+0.020683
+0.0198647
+0.0192122
+0.018394
+0.0171476
+0.0160861
+0.0152537
+0.0147034
+0.0144672
+0.0145361
+0.0142589
+0.0142131
+0.01447
+0.0150449
+0.0159034
+0.0169824
+0.0182571
+0.0196936
+0.0212592
+0.0229274
+0.0246774
+0.0264931
+0.0283618
+0.0302737
+0.0322211
+0.0340799
+0.0355816
+0.0371426
+0.0387571
+0.0404259
+0.0421086
+0.0437986
+0.0454596
+0.0471239
+0.0487832
+0.0645816
+0.0629813
+0.0614174
+0.0598928
+0.0583483
+0.0567263
+0.0551436
+0.0536037
+0.0521029
+0.0506157
+0.0491674
+0.0476794
+0.0461944
+0.0447674
+0.0432919
+0.0417941
+0.0403151
+0.038893
+0.037531
+0.0362335
+0.0348884
+0.0335288
+0.0321067
+0.0307525
+0.0294715
+0.0282026
+0.0269285
+0.0256381
+0.0244761
+0.0234521
+0.0223067
+0.0212514
+0.0203277
+0.0194649
+0.0186003
+0.0175276
+0.0166427
+0.0159609
+0.0152824
+0.014685
+0.0143443
+0.0135384
+0.0125097
+0.0115272
+0.0107214
+0.0101239
+0.00989426
+0.00990352
+0.0102909
+0.0109007
+0.0118262
+0.0129996
+0.014412
+0.0160005
+0.017718
+0.0195256
+0.0214033
+0.0233357
+0.0253101
+0.0265288
+0.0250494
+0.0236374
+0.0223201
+0.0210739
+0.0199387
+0.0189145
+0.0180402
+0.0173401
+0.0167491
+0.0156179
+0.0144445
+0.0135113
+0.0128867
+0.0126166
+0.0124959
+0.0120903
+0.0120379
+0.0123402
+0.0130096
+0.0139834
+0.015194
+0.0166065
+0.0181739
+0.0198596
+0.021636
+0.0234825
+0.0253838
+0.0273285
+0.0293079
+0.0310753
+0.0325682
+0.0341253
+0.0357418
+0.0374168
+0.0390792
+0.0407734
+0.0424081
+0.0440582
+0.0457238
+0.0474137
+0.0631023
+0.0615283
+0.0599265
+0.058363
+0.056841
+0.055304
+0.0536794
+0.0520963
+0.0505585
+0.049062
+0.0475787
+0.0461378
+0.044643
+0.0431647
+0.041749
+0.0402617
+0.0387459
+0.0372748
+0.0358605
+0.0345179
+0.0332228
+0.0318966
+0.0305015
+0.0290824
+0.0277537
+0.0264873
+0.0252102
+0.0239214
+0.0226715
+0.0215722
+0.0205376
+0.0194036
+0.0184098
+0.0175803
+0.0166641
+0.0156735
+0.0146981
+0.0139404
+0.0132495
+0.0126377
+0.0122469
+0.0116336
+0.0106008
+0.00957882
+0.00867411
+0.00799264
+0.00770532
+0.00773291
+0.00820244
+0.0088985
+0.00996757
+0.0113344
+0.0129299
+0.0146783
+0.016526
+0.0184489
+0.0204259
+0.0224425
+0.0244891
+0.0252895
+0.0237401
+0.022269
+0.0208654
+0.019559
+0.0183265
+0.0172304
+0.0162938
+0.0155303
+0.0148754
+0.0142617
+0.0129606
+0.0119118
+0.0111984
+0.0108864
+0.0104212
+0.00993148
+0.0098696
+0.0102362
+0.0110303
+0.0121486
+0.0135243
+0.0150939
+0.016803
+0.0186133
+0.020498
+0.0224383
+0.0244211
+0.0264366
+0.0280911
+0.0295724
+0.0311237
+0.0327419
+0.0343922
+0.0360615
+0.0377245
+0.0393639
+0.0409973
+0.0426699
+0.0443526
+0.0460712
+0.0616187
+0.0600493
+0.0584797
+0.0568764
+0.0553135
+0.0537944
+0.0522661
+0.0506388
+0.0490553
+0.0475202
+0.0460287
+0.04455
+0.0431178
+0.0416156
+0.0401453
+0.0387264
+0.0372394
+0.0357063
+0.0342447
+0.0328402
+0.0315212
+0.0302297
+0.0289166
+0.0274856
+0.0260755
+0.0247792
+0.0235258
+0.0222443
+0.0209407
+0.0197453
+0.0187285
+0.0176154
+0.0165509
+0.0156658
+0.0147584
+0.0138556
+0.0128142
+0.0119578
+0.0112757
+0.0106334
+0.0101887
+0.00984041
+0.00875184
+0.0076516
+0.00664935
+0.00588006
+0.00551758
+0.00557723
+0.00611843
+0.00699363
+0.00827214
+0.00987644
+0.0116665
+0.0135707
+0.0155506
+0.0175805
+0.0196451
+0.0217343
+0.0238417
+0.0241808
+0.0225604
+0.0210247
+0.0195485
+0.0181508
+0.0168435
+0.0156641
+0.0146335
+0.0137833
+0.0130735
+0.0124614
+0.0116804
+0.0105045
+0.009688
+0.00932564
+0.00839011
+0.00778555
+0.00771119
+0.00817295
+0.00912921
+0.0104517
+0.0120232
+0.013765
+0.0156202
+0.0175529
+0.0195402
+0.0215664
+0.0236094
+0.0251279
+0.0265936
+0.0281425
+0.02976
+0.03138
+0.0330586
+0.0346832
+0.0363164
+0.0379426
+0.0396096
+0.0412946
+0.0430239
+0.0447874
+0.0601782
+0.0585703
+0.0570012
+0.0554366
+0.0538318
+0.0522697
+0.050754
+0.0492312
+0.0476055
+0.046022
+0.0444901
+0.0430047
+0.0415316
+0.0401092
+0.0385994
+0.037139
+0.0357149
+0.0342063
+0.0326777
+0.0312257
+0.0298358
+0.0285461
+0.0272601
+0.0259442
+0.0244786
+0.0230928
+0.0218246
+0.0205521
+0.0193022
+0.0179998
+0.0168806
+0.0158741
+0.0147407
+0.0137922
+0.012919
+0.0120275
+0.0110019
+0.0100618
+0.00936518
+0.00871911
+0.00819956
+0.0080927
+0.00691682
+0.00581285
+0.00471377
+0.00379754
+0.00333105
+0.00345316
+0.0041105
+0.00525215
+0.00686259
+0.00871532
+0.0106966
+0.0127466
+0.0148368
+0.0169525
+0.019085
+0.0212295
+0.0233824
+0.0232043
+0.0215309
+0.0199142
+0.0183728
+0.0169072
+0.0155092
+0.0142438
+0.0131175
+0.012174
+0.0114083
+0.010732
+0.0101218
+0.00940024
+0.00847994
+0.00778864
+0.00645304
+0.00565759
+0.00555916
+0.00617033
+0.00738852
+0.00897136
+0.0107613
+0.0126776
+0.0146702
+0.0166947
+0.0187565
+0.0208447
+0.0221917
+0.0236361
+0.0251777
+0.0267645
+0.0283864
+0.0300579
+0.0316473
+0.0332646
+0.0348954
+0.0365503
+0.0382431
+0.0399844
+0.0417543
+0.0435583
+0.0587842
+0.057137
+0.0555274
+0.0539588
+0.0523999
+0.0507937
+0.0492326
+0.0477211
+0.0461982
+0.0445812
+0.0429979
+0.04147
+0.039992
+0.0385259
+0.0371086
+0.0355973
+0.034149
+0.0327019
+0.0311859
+0.0296635
+0.02822
+0.0268528
+0.0256003
+0.0243226
+0.022953
+0.0214967
+0.0201449
+0.0189028
+0.0175991
+0.0163577
+0.0151174
+0.0141038
+0.0130477
+0.0119657
+0.011119
+0.0102019
+0.00932928
+0.00828751
+0.00751002
+0.0068603
+0.00631473
+0.00617288
+0.00529501
+0.0040792
+0.00289581
+0.00177151
+0.00115022
+0.00143452
+0.00233309
+0.00396743
+0.00591641
+0.00799159
+0.0101156
+0.0122631
+0.0144236
+0.016592
+0.0187656
+0.0209427
+0.0231224
+0.0223768
+0.0206544
+0.0189924
+0.0173694
+0.0158588
+0.0143678
+0.0129973
+0.0117922
+0.0107668
+0.00989996
+0.00911193
+0.00839352
+0.0078523
+0.00750524
+0.00635419
+0.00474207
+0.00359723
+0.00344888
+0.00434959
+0.00595283
+0.00782968
+0.00979825
+0.0118451
+0.0139357
+0.0160531
+0.0180256
+0.0193062
+0.0207197
+0.0222477
+0.0237814
+0.0254042
+0.0270346
+0.0286242
+0.0302222
+0.0318518
+0.0334964
+0.0351998
+0.0369516
+0.0387315
+0.0405517
+0.0424069
+0.0574398
+0.055753
+0.0541022
+0.052491
+0.0509231
+0.0493709
+0.0477633
+0.0462037
+0.0446971
+0.0431744
+0.0415678
+0.0399852
+0.0384623
+0.0369935
+0.035536
+0.0341253
+0.0326132
+0.0311747
+0.0296975
+0.0281824
+0.0266685
+0.0252361
+0.0238991
+0.0226946
+0.0214095
+0.0199681
+0.0185363
+0.0172496
+0.0159881
+0.014706
+0.0134791
+0.0123388
+0.0113276
+0.0102826
+0.0093018
+0.00841695
+0.00757035
+0.00665417
+0.00575879
+0.00514701
+0.00459986
+0.00443346
+0.0039875
+0.00266615
+0.00134747
+5.04065e-05
+-0.000928379
+0.000209478
+0.0016308
+0.00353256
+0.00563403
+0.00778485
+0.00995309
+0.0121294
+0.0143101
+0.0164934
+0.0186785
+0.0208601
+0.0230428
+0.0217394
+0.019962
+0.0182654
+0.0165961
+0.0150065
+0.0134643
+0.0119923
+0.0106916
+0.00958853
+0.00862222
+0.00774009
+0.00690094
+0.00621901
+0.00567158
+0.00477565
+0.00340461
+0.00183956
+0.00156326
+0.00304247
+0.00497862
+0.00706331
+0.0091974
+0.0113531
+0.01352
+0.0152872
+0.0164979
+0.0178646
+0.0193003
+0.020828
+0.0224348
+0.0240304
+0.0255962
+0.0271911
+0.0288006
+0.0304515
+0.0321669
+0.0339253
+0.0357216
+0.0375599
+0.0394093
+0.0412652
+0.0560819
+0.0544219
+0.0527295
+0.051075
+0.0494622
+0.0478953
+0.046351
+0.0447422
+0.0431846
+0.041684
+0.0401619
+0.0385678
+0.0369866
+0.0354703
+0.0340128
+0.0325664
+0.0311545
+0.0296493
+0.0282187
+0.02671
+0.0252019
+0.0237
+0.0222835
+0.020987
+0.0197901
+0.01851
+0.0170237
+0.0156293
+0.0144057
+0.0131055
+0.0119163
+0.0107236
+0.00971976
+0.00867465
+0.00760483
+0.00679373
+0.00595907
+0.00509803
+0.0042761
+0.00355453
+0.00318245
+0.00305082
+0.0030727
+0.00172964
+0.000482376
+-0.000152464
+0.000151959
+0.0011682
+0.00241156
+0.00406181
+0.00604424
+0.00811668
+0.0102087
+0.012335
+0.0144806
+0.0166379
+0.0188029
+0.0209733
+0.0231116
+0.021267
+0.0194926
+0.0177511
+0.0160861
+0.0144391
+0.0128152
+0.0112891
+0.00993065
+0.00874361
+0.00770946
+0.00668768
+0.00572428
+0.00489817
+0.0041485
+0.00321348
+0.00220598
+0.00092458
+0.000984415
+0.00273238
+0.00479284
+0.00693362
+0.00909818
+0.0112728
+0.012686
+0.0138141
+0.0150549
+0.0163958
+0.0179004
+0.019468
+0.0210534
+0.0225765
+0.0241713
+0.0257595
+0.0274185
+0.0291478
+0.0309132
+0.0327282
+0.0345752
+0.036414
+0.0382899
+0.0401976
+0.054732
+0.0530567
+0.0514067
+0.0497153
+0.0480569
+0.0464426
+0.0448772
+0.0433422
+0.0417323
+0.0401775
+0.0386843
+0.0371636
+0.0355845
+0.0340058
+0.0324981
+0.0310546
+0.0296231
+0.0281969
+0.0267041
+0.0252565
+0.0237509
+0.0222534
+0.0207691
+0.0193763
+0.0181367
+0.0169229
+0.0156372
+0.0141452
+0.0128122
+0.0116309
+0.0103482
+0.00929616
+0.00817385
+0.00715555
+0.00612431
+0.00527233
+0.00446459
+0.00368861
+0.00307961
+0.00241998
+0.00222889
+0.00217455
+0.00226072
+0.00178353
+0.00147304
+0.00155842
+0.00213706
+0.00297815
+0.00396304
+0.00526618
+0.00693014
+0.00881246
+0.0108116
+0.0128627
+0.0149345
+0.0170344
+0.0191546
+0.0212892
+0.0226575
+0.0209973
+0.019193
+0.0174495
+0.0157627
+0.014066
+0.0124603
+0.0108867
+0.00950782
+0.00832951
+0.00725985
+0.00618792
+0.00511197
+0.00415031
+0.00322158
+0.00230899
+0.00147085
+0.0012493
+0.00204301
+0.00359197
+0.00546264
+0.00747383
+0.00924824
+0.0101987
+0.0112037
+0.0122848
+0.0135764
+0.0150021
+0.0165449
+0.0181011
+0.0195813
+0.0211594
+0.022732
+0.0244002
+0.0261382
+0.0279199
+0.0297563
+0.0315774
+0.0334375
+0.0353356
+0.0372359
+0.0391522
+0.0532948
+0.0517042
+0.0500404
+0.048387
+0.046712
+0.0450496
+0.0434341
+0.0418708
+0.0403468
+0.0387364
+0.0371854
+0.0357014
+0.0341831
+0.0326227
+0.031048
+0.0295517
+0.0281238
+0.0267147
+0.0252723
+0.0237978
+0.0223197
+0.0208322
+0.0193518
+0.0178891
+0.0165386
+0.0153825
+0.0141533
+0.0128507
+0.0113706
+0.0101034
+0.00894064
+0.00779044
+0.0068652
+0.00581575
+0.00490773
+0.00402899
+0.0034369
+0.00290143
+0.00240848
+0.00205188
+0.00196277
+0.00196346
+0.00216636
+0.00243708
+0.00279098
+0.00331448
+0.00411447
+0.00497995
+0.00591139
+0.0068797
+0.00828812
+0.00993739
+0.0117466
+0.0136679
+0.0156601
+0.0176896
+0.0197427
+0.0218215
+0.0223093
+0.0205979
+0.0189674
+0.0173517
+0.015664
+0.0139871
+0.0123779
+0.0108852
+0.00953811
+0.00844511
+0.00731455
+0.00634369
+0.00524025
+0.0042156
+0.00331741
+0.00260271
+0.00217827
+0.0024169
+0.0033421
+0.00481921
+0.00653483
+0.00740905
+0.00803315
+0.00876803
+0.00968862
+0.0108544
+0.0122024
+0.0136972
+0.0151806
+0.0166238
+0.0181519
+0.0197216
+0.0214001
+0.0231494
+0.0249522
+0.0267633
+0.028601
+0.0304853
+0.0323816
+0.034293
+0.0361473
+0.0380304
+0.0518751
+0.0502694
+0.0486853
+0.0470348
+0.0453776
+0.0437213
+0.0420555
+0.040439
+0.0388778
+0.0373677
+0.0357579
+0.0342121
+0.03274
+0.0312226
+0.0296888
+0.0281204
+0.0266399
+0.0252329
+0.0238281
+0.0223945
+0.0209465
+0.0194331
+0.0179735
+0.0165217
+0.0150644
+0.0137878
+0.0126669
+0.0114777
+0.0101508
+0.00875683
+0.0076712
+0.00654006
+0.00568703
+0.00483461
+0.00400802
+0.00333554
+0.00307176
+0.00297483
+0.0028257
+0.00267754
+0.00266973
+0.00265607
+0.00286044
+0.00302689
+0.00359896
+0.00469519
+0.0059666
+0.00701616
+0.00783943
+0.00872739
+0.00990074
+0.0113512
+0.0129874
+0.014748
+0.0166111
+0.018546
+0.0205324
+0.0225474
+0.0215587
+0.0200049
+0.0182326
+0.0165438
+0.0149695
+0.0135614
+0.0123607
+0.0111963
+0.00997074
+0.00892211
+0.00788447
+0.00702603
+0.00604226
+0.00507071
+0.00429906
+0.0037975
+0.00366375
+0.00406909
+0.00490689
+0.00619614
+0.00638064
+0.00637993
+0.00671558
+0.00735636
+0.00833902
+0.0095343
+0.01093
+0.0123069
+0.0137285
+0.0151698
+0.0167321
+0.0184225
+0.020187
+0.0219866
+0.0237897
+0.0256533
+0.0275351
+0.0294379
+0.03129
+0.0331595
+0.0350663
+0.0370009
+0.0505098
+0.0488594
+0.0472529
+0.045677
+0.044042
+0.0423809
+0.0407423
+0.0390776
+0.0374601
+0.0359012
+0.0344051
+0.0328015
+0.0312631
+0.0298063
+0.0282888
+0.0267861
+0.0252335
+0.0237688
+0.0223975
+0.0210017
+0.0195841
+0.0181571
+0.0166228
+0.0151783
+0.013757
+0.0123559
+0.0111987
+0.010095
+0.00895414
+0.00772942
+0.00651794
+0.00560648
+0.00477871
+0.00431487
+0.00365096
+0.00336996
+0.00340203
+0.00361868
+0.00379204
+0.00390967
+0.00396536
+0.00385748
+0.00401163
+0.0042521
+0.00447297
+0.00532529
+0.00660164
+0.00809982
+0.00978659
+0.0107053
+0.0116816
+0.0129571
+0.0144292
+0.0160559
+0.0177825
+0.0196021
+0.0214911
+0.0225669
+0.0209783
+0.0193302
+0.0174897
+0.0157212
+0.0140551
+0.0125448
+0.0112592
+0.0102186
+0.00957116
+0.00939937
+0.00890547
+0.00814993
+0.00730458
+0.00645661
+0.00581702
+0.00547001
+0.00547963
+0.0059169
+0.00668782
+0.0063061
+0.005788
+0.00544123
+0.00566877
+0.00629081
+0.00712015
+0.00831343
+0.00955011
+0.0108883
+0.0122453
+0.0137907
+0.015482
+0.0172457
+0.0190136
+0.0208525
+0.0227109
+0.024595
+0.0264478
+0.0282981
+0.030194
+0.0321247
+0.0340752
+0.0359546
+0.0492039
+0.0475084
+0.0458546
+0.0442475
+0.0426815
+0.0410569
+0.0394
+0.0377826
+0.0361196
+0.0345002
+0.032947
+0.0314541
+0.0298735
+0.0283454
+0.0268981
+0.025394
+0.0239085
+0.0223965
+0.0209436
+0.0196282
+0.0182637
+0.0168746
+0.0154333
+0.0139037
+0.0125157
+0.0111613
+0.00987898
+0.00891553
+0.00779253
+0.00679532
+0.00590094
+0.00489377
+0.00436655
+0.00403314
+0.00396225
+0.00409519
+0.00435243
+0.00485535
+0.00518169
+0.00551727
+0.00557241
+0.0053543
+0.00550718
+0.00558374
+0.00558499
+0.00617192
+0.00718417
+0.00855618
+0.0100663
+0.0116134
+0.013282
+0.0146952
+0.0160263
+0.0175143
+0.0191339
+0.0208358
+0.022622
+0.0222035
+0.0205869
+0.0188869
+0.0169984
+0.0151728
+0.0134389
+0.0118503
+0.0104799
+0.00935293
+0.00864088
+0.0084502
+0.0087165
+0.0094922
+0.00888043
+0.00814245
+0.0076004
+0.00735493
+0.00744995
+0.00785633
+0.00713191
+0.00619336
+0.00535217
+0.00491144
+0.00488817
+0.00514573
+0.00594291
+0.00694794
+0.00812116
+0.00941838
+0.0109361
+0.0125955
+0.0142721
+0.0160684
+0.017927
+0.0197685
+0.0216311
+0.0234522
+0.0253318
+0.0272562
+0.0292036
+0.0310981
+0.0329691
+0.0348766
+0.0479047
+0.0462136
+0.0445203
+0.0428631
+0.0412558
+0.0396951
+0.0380761
+0.0364387
+0.0348284
+0.0331849
+0.031567
+0.0300218
+0.0285343
+0.0269714
+0.0254577
+0.0240355
+0.0225517
+0.0210799
+0.0196183
+0.0182074
+0.0169629
+0.0156385
+0.0142756
+0.0128531
+0.0113624
+0.0101007
+0.00888196
+0.00782454
+0.00686188
+0.00604026
+0.00534545
+0.00483597
+0.00444975
+0.00437563
+0.0045894
+0.00512689
+0.00570421
+0.00642066
+0.00688206
+0.00717965
+0.00698183
+0.00690127
+0.00708508
+0.00703791
+0.00690895
+0.00732187
+0.00812959
+0.00922761
+0.0105722
+0.0120517
+0.0136748
+0.0153856
+0.0172056
+0.0191035
+0.0206034
+0.0222173
+0.023185
+0.0216046
+0.0201131
+0.0185738
+0.016781
+0.0149289
+0.0131628
+0.0115363
+0.0101234
+0.00895042
+0.00820351
+0.00800064
+0.0082814
+0.00909428
+0.0103164
+0.00999134
+0.00955301
+0.00935768
+0.00946295
+0.00876228
+0.00762108
+0.00644986
+0.00549844
+0.00474744
+0.00425811
+0.00424738
+0.00475691
+0.00565014
+0.00675926
+0.00817869
+0.00968796
+0.011365
+0.0131935
+0.014989
+0.0168616
+0.0186338
+0.020487
+0.0224003
+0.0243427
+0.0262492
+0.0281098
+0.0300064
+0.0319407
+0.0339061
+0.0466051
+0.0449324
+0.0432384
+0.0415483
+0.0398879
+0.038281
+0.0367263
+0.0351156
+0.033502
+0.031894
+0.0302691
+0.0286684
+0.0271351
+0.0256564
+0.0241169
+0.0226249
+0.0212391
+0.0197718
+0.0183387
+0.0169515
+0.0156071
+0.0144197
+0.0131833
+0.011805
+0.0104905
+0.00915738
+0.0080883
+0.00711563
+0.00625103
+0.00557483
+0.00533332
+0.00495695
+0.00514831
+0.00533558
+0.00576071
+0.0064097
+0.00720369
+0.00795737
+0.00850816
+0.00832955
+0.00843022
+0.00859772
+0.00855224
+0.00822554
+0.00803739
+0.00833318
+0.00885843
+0.00979224
+0.0110349
+0.0124491
+0.0140027
+0.0156638
+0.0174423
+0.0192744
+0.021165
+0.0231048
+0.0227899
+0.0211799
+0.0196563
+0.0180267
+0.016224
+0.0145034
+0.0129062
+0.0115025
+0.0101485
+0.00897671
+0.00823219
+0.00802946
+0.00830767
+0.00911821
+0.0103375
+0.01184
+0.0115701
+0.0114141
+0.0108196
+0.00954084
+0.00830938
+0.00714023
+0.00611891
+0.00503438
+0.00407531
+0.00361367
+0.00371074
+0.00450285
+0.00558299
+0.00693728
+0.00859264
+0.0103192
+0.0121276
+0.0138685
+0.0156756
+0.0175675
+0.0195007
+0.0213967
+0.0232666
+0.0251472
+0.0270741
+0.0290384
+0.0309589
+0.032906
+0.0453239
+0.0436436
+0.0419698
+0.0402818
+0.038596
+0.036933
+0.0353275
+0.0337807
+0.032181
+0.0305973
+0.0289937
+0.0273906
+0.0257984
+0.0242977
+0.0228361
+0.0213199
+0.0198716
+0.0185389
+0.0171016
+0.0157304
+0.0144576
+0.0132137
+0.0120677
+0.0108533
+0.00960615
+0.00853892
+0.00741631
+0.00662297
+0.00603082
+0.00553239
+0.0055789
+0.00573055
+0.0058747
+0.00642433
+0.00710358
+0.0078817
+0.00879534
+0.00969286
+0.00972506
+0.00980109
+0.00989826
+0.0103364
+0.00994008
+0.00938063
+0.00920332
+0.00915517
+0.00960724
+0.010444
+0.0116248
+0.012927
+0.0144397
+0.0160537
+0.0177912
+0.0196165
+0.0214542
+0.0233483
+0.022577
+0.0209568
+0.0194371
+0.0177154
+0.0158863
+0.0141254
+0.0124799
+0.0110258
+0.00984624
+0.00895027
+0.00853602
+0.00862943
+0.00888888
+0.00965073
+0.0108101
+0.0122548
+0.012916
+0.013125
+0.0117797
+0.0105914
+0.00929223
+0.00816099
+0.00679868
+0.00548033
+0.00422612
+0.00323496
+0.00303003
+0.00352007
+0.0045003
+0.00590327
+0.00752303
+0.00919609
+0.0109164
+0.0127806
+0.0146963
+0.0165579
+0.018442
+0.0203044
+0.0222204
+0.0241827
+0.0260923
+0.0280338
+0.0300041
+0.0320017
+0.0440658
+0.0423778
+0.0407025
+0.0390257
+0.0373481
+0.0356686
+0.0340035
+0.0324009
+0.030865
+0.0292802
+0.0277344
+0.0261387
+0.0245655
+0.0229864
+0.0215141
+0.0200948
+0.0186151
+0.0172352
+0.0159305
+0.0145606
+0.013309
+0.0120882
+0.0109711
+0.00998077
+0.00888494
+0.00798944
+0.00715294
+0.00645625
+0.00613757
+0.00590073
+0.00618317
+0.00657955
+0.00703704
+0.00769994
+0.00855655
+0.00951222
+0.0103799
+0.0109241
+0.0110841
+0.0113423
+0.0115882
+0.011389
+0.0110747
+0.0104373
+0.0101454
+0.0101969
+0.0106014
+0.0113336
+0.0123471
+0.0135715
+0.0150041
+0.0165652
+0.018256
+0.0200172
+0.0218072
+0.0236148
+0.0225586
+0.020937
+0.0194272
+0.0176394
+0.0158016
+0.0140547
+0.0124007
+0.0109371
+0.00971897
+0.00881001
+0.00838884
+0.00852801
+0.00912865
+0.0101501
+0.0115029
+0.0120918
+0.0120993
+0.012106
+0.0120336
+0.0117806
+0.0105139
+0.00901388
+0.0075745
+0.00595711
+0.00445477
+0.00335947
+0.00262838
+0.00270896
+0.00350297
+0.00483105
+0.00633836
+0.00807307
+0.00991661
+0.0117685
+0.0136448
+0.015494
+0.017388
+0.0193448
+0.0212367
+0.0231651
+0.0251365
+0.0271416
+0.0291733
+0.0311002
+0.0428417
+0.0411347
+0.0394514
+0.0377864
+0.0361071
+0.0344433
+0.0327725
+0.0311067
+0.0295095
+0.0279885
+0.0264241
+0.0248954
+0.023342
+0.0218147
+0.0202581
+0.0188281
+0.0174399
+0.0160333
+0.0147394
+0.0134753
+0.0121695
+0.0110793
+0.010032
+0.00911883
+0.00830464
+0.00751767
+0.00697465
+0.00659834
+0.00652889
+0.00672698
+0.00701076
+0.00771005
+0.00841108
+0.00914715
+0.0100814
+0.0110742
+0.0120943
+0.0121348
+0.0123872
+0.0128773
+0.0128285
+0.012598
+0.012137
+0.0114759
+0.0111772
+0.0111738
+0.0115475
+0.0121965
+0.0131012
+0.0142682
+0.0156382
+0.0170874
+0.0186465
+0.020313
+0.0220713
+0.0238776
+0.0227522
+0.0211454
+0.0196137
+0.0178342
+0.0160188
+0.0142979
+0.0126748
+0.0112459
+0.0100683
+0.00919393
+0.00879116
+0.00892406
+0.0094997
+0.0104851
+0.0117676
+0.0114371
+0.0113654
+0.0112079
+0.0111298
+0.0114285
+0.0115996
+0.010042
+0.00829484
+0.00659853
+0.00507892
+0.00365699
+0.00265035
+0.00227768
+0.00255858
+0.00374099
+0.00532037
+0.00706475
+0.00886775
+0.0107624
+0.0126068
+0.014532
+0.0163985
+0.0183124
+0.0202822
+0.0222933
+0.0243215
+0.0262262
+0.0281725
+0.0301523
+0.0416783
+0.0399287
+0.0382247
+0.0365442
+0.0348867
+0.033221
+0.0315752
+0.029917
+0.0282526
+0.0266644
+0.0251646
+0.0236273
+0.0221243
+0.0206077
+0.0191406
+0.0176523
+0.0162759
+0.0149494
+0.0136197
+0.0124611
+0.0112372
+0.0101355
+0.00929064
+0.00848507
+0.00774622
+0.00723033
+0.00700767
+0.00689617
+0.00708762
+0.00749509
+0.00813345
+0.00891468
+0.00975876
+0.010636
+0.0116487
+0.0127293
+0.0132999
+0.0134872
+0.0137661
+0.0143283
+0.0140324
+0.0139459
+0.0132965
+0.012715
+0.012446
+0.0124124
+0.0126346
+0.0131998
+0.0140421
+0.0150625
+0.0162721
+0.0176715
+0.0191816
+0.0208053
+0.0224641
+0.0241605
+0.0228843
+0.0211795
+0.0195048
+0.0178606
+0.0163297
+0.0148542
+0.0132991
+0.0119451
+0.0108203
+0.0100478
+0.00968207
+0.00980266
+0.0103316
+0.0112449
+0.0115201
+0.0110988
+0.0110249
+0.0106695
+0.0105924
+0.0109058
+0.0116307
+0.0109175
+0.00916876
+0.00745509
+0.0056308
+0.00397106
+0.00266286
+0.00177214
+0.0017815
+0.00275964
+0.00429382
+0.00611675
+0.00796947
+0.00979943
+0.0116059
+0.0134927
+0.0154558
+0.0174731
+0.019452
+0.0213633
+0.0233039
+0.0252853
+0.0272987
+0.0293376
+0.0405753
+0.0388017
+0.0370458
+0.0353386
+0.0336711
+0.0320229
+0.0303768
+0.0287519
+0.0270919
+0.0254557
+0.0238824
+0.0224124
+0.02091
+0.019452
+0.0179828
+0.0165811
+0.015232
+0.013922
+0.012678
+0.0115378
+0.0104967
+0.00942621
+0.00863145
+0.00809581
+0.00758237
+0.00724494
+0.00728272
+0.00748339
+0.00786242
+0.00856438
+0.00933153
+0.0101821
+0.0112138
+0.0122083
+0.0131988
+0.0143553
+0.0144644
+0.0148235
+0.0152243
+0.0156812
+0.0153022
+0.0152296
+0.014482
+0.0138455
+0.0134786
+0.0134295
+0.0136506
+0.0141305
+0.0148026
+0.0157381
+0.0168966
+0.0182206
+0.0196586
+0.0211281
+0.0227133
+0.0243923
+0.0229373
+0.0212295
+0.0195078
+0.0178619
+0.0163144
+0.0149261
+0.0137429
+0.0128049
+0.0118884
+0.0111928
+0.0108657
+0.0109735
+0.0114513
+0.0117649
+0.0110973
+0.0108131
+0.0109033
+0.0104998
+0.0104214
+0.0107398
+0.0114752
+0.0118611
+0.00994104
+0.00806378
+0.00626066
+0.00451425
+0.00301699
+0.00170364
+0.00120424
+0.00200982
+0.00347635
+0.00513894
+0.00690523
+0.00873444
+0.0106947
+0.0127129
+0.0146196
+0.0165216
+0.0184511
+0.0204334
+0.0224545
+0.0244993
+0.026537
+0.0285415
+0.0394556
+0.0377
+0.0359563
+0.0342006
+0.0324915
+0.0308415
+0.029207
+0.0275748
+0.0259548
+0.0243251
+0.022737
+0.0211884
+0.0197382
+0.0183123
+0.016923
+0.0155308
+0.0141935
+0.0130112
+0.0118402
+0.0107659
+0.00988036
+0.0089361
+0.00825512
+0.00788008
+0.00766959
+0.00764817
+0.00783091
+0.00839654
+0.00889083
+0.00962171
+0.0105703
+0.0115812
+0.012603
+0.0137447
+0.0148516
+0.0155807
+0.015758
+0.0161789
+0.0167581
+0.0167293
+0.0165539
+0.0164535
+0.0155851
+0.0149716
+0.0146089
+0.0144593
+0.0146024
+0.0149746
+0.0155983
+0.0164731
+0.0175318
+0.0187757
+0.0201052
+0.0215287
+0.023012
+0.0245901
+0.0231882
+0.0214637
+0.0197371
+0.0180828
+0.0165535
+0.0151871
+0.0140259
+0.0131082
+0.0125109
+0.0122808
+0.0123254
+0.0124206
+0.0123896
+0.0115445
+0.0108634
+0.0105476
+0.0105664
+0.0103255
+0.0104743
+0.0109878
+0.0117339
+0.012624
+0.0107688
+0.00894338
+0.00699872
+0.00514589
+0.00350607
+0.00198981
+0.00107482
+0.00141852
+0.00255588
+0.00414747
+0.00600559
+0.007902
+0.00981586
+0.0117271
+0.0136312
+0.0156107
+0.0176367
+0.0196844
+0.0216762
+0.0236817
+0.0257115
+0.0277657
+0.0384282
+0.0366235
+0.034863
+0.0331497
+0.0314022
+0.0296948
+0.0280534
+0.0264542
+0.0248384
+0.0232343
+0.0216476
+0.0201076
+0.0185955
+0.0171995
+0.0158725
+0.0145559
+0.0133392
+0.0121149
+0.0110739
+0.0101381
+0.00930861
+0.0086961
+0.0081737
+0.00774609
+0.00775982
+0.00809938
+0.00857746
+0.00923062
+0.0100577
+0.0108822
+0.01189
+0.0129651
+0.014094
+0.0152628
+0.0164532
+0.016908
+0.0171258
+0.0175715
+0.0181935
+0.0178638
+0.0177426
+0.0174277
+0.0165544
+0.0159096
+0.015517
+0.0154151
+0.0155766
+0.015934
+0.0165083
+0.0172544
+0.0181851
+0.0192051
+0.0204099
+0.0214687
+0.0226902
+0.0239767
+0.0236131
+0.0218718
+0.0201745
+0.0185592
+0.0170726
+0.0157513
+0.014635
+0.013758
+0.0131901
+0.0129721
+0.0130721
+0.0129011
+0.011728
+0.0108745
+0.0104193
+0.0103792
+0.0102726
+0.0100247
+0.0102379
+0.0107408
+0.0116367
+0.0128145
+0.0115315
+0.00959329
+0.00771085
+0.00576739
+0.00398683
+0.00248779
+0.00120139
+0.000660875
+0.00166977
+0.00324076
+0.00503295
+0.00693726
+0.00888607
+0.0108339
+0.0128592
+0.0148439
+0.0168247
+0.0188306
+0.0208722
+0.0229293
+0.0249036
+0.0269112
+0.0374789
+0.0356491
+0.033838
+0.0320742
+0.0303661
+0.0286539
+0.026964
+0.0253352
+0.0237833
+0.0221974
+0.0206206
+0.0190977
+0.0176124
+0.0161745
+0.0148742
+0.0136729
+0.0125095
+0.011413
+0.010433
+0.00962752
+0.0089379
+0.00851922
+0.00820743
+0.00815877
+0.0082662
+0.00867162
+0.00939736
+0.0102179
+0.0111805
+0.0122668
+0.0132614
+0.0144335
+0.0155756
+0.0167788
+0.0180177
+0.0182375
+0.0185893
+0.019015
+0.019246
+0.0190922
+0.0190276
+0.0183904
+0.017565
+0.0169421
+0.0165303
+0.016334
+0.01643
+0.0166115
+0.0170001
+0.0176263
+0.0183798
+0.0190986
+0.0199875
+0.0209755
+0.0218874
+0.0229559
+0.0235728
+0.0224818
+0.0208342
+0.0192743
+0.0178474
+0.0165879
+0.0155232
+0.0146993
+0.0141692
+0.0139664
+0.0131928
+0.0124124
+0.0114344
+0.0105782
+0.0100745
+0.00995696
+0.0098582
+0.00985092
+0.0102624
+0.010876
+0.0117616
+0.0129281
+0.0123398
+0.0103423
+0.00840993
+0.0066285
+0.00473912
+0.00292565
+0.00130229
+0.000363072
+0.000660486
+0.00224946
+0.00412243
+0.0061192
+0.00802074
+0.0100369
+0.0120035
+0.0140123
+0.0160688
+0.0180535
+0.020029
+0.0220451
+0.0240918
+0.0261618
+0.0365323
+0.0347246
+0.0329041
+0.0311117
+0.0293476
+0.0276445
+0.0259824
+0.0243137
+0.0227073
+0.0212022
+0.0196899
+0.0181598
+0.0167339
+0.0153328
+0.0140226
+0.0128785
+0.011847
+0.0108468
+0.00994985
+0.00924459
+0.00882249
+0.00861894
+0.0085483
+0.00867034
+0.00903203
+0.00960888
+0.010333
+0.0113222
+0.0123441
+0.0134686
+0.0147263
+0.0158781
+0.0171175
+0.0183358
+0.0192808
+0.0195821
+0.0200502
+0.020413
+0.0201997
+0.0201199
+0.0202429
+0.0193742
+0.0184979
+0.0177908
+0.0172688
+0.0169061
+0.0167716
+0.0168745
+0.0172572
+0.0176347
+0.0181922
+0.0187624
+0.0192852
+0.0200352
+0.0207128
+0.0212093
+0.0218727
+0.0227276
+0.0216961
+0.0202028
+0.0188463
+0.0176441
+0.0166378
+0.0157015
+0.0146468
+0.0136137
+0.0127704
+0.0117377
+0.0106982
+0.00997127
+0.00963235
+0.00909911
+0.00881088
+0.00904872
+0.00978088
+0.0107818
+0.0119107
+0.0133071
+0.0131342
+0.0112543
+0.0092924
+0.00731672
+0.00541513
+0.00344565
+0.00165744
+0.000454139
+0.000281047
+0.00143897
+0.00324548
+0.00523341
+0.00728192
+0.00924379
+0.0112351
+0.0131943
+0.0151698
+0.0171975
+0.0192609
+0.0213497
+0.0234086
+0.0254685
+0.0355869
+0.0338094
+0.0320137
+0.030215
+0.0284371
+0.0267021
+0.0250108
+0.0233912
+0.0217717
+0.0202122
+0.0187627
+0.0173405
+0.0159231
+0.0146047
+0.0133266
+0.0122706
+0.0113163
+0.0105066
+0.00963936
+0.00915548
+0.00891174
+0.00879279
+0.00898402
+0.0094047
+0.009896
+0.0106178
+0.0115127
+0.0124545
+0.0136234
+0.0147775
+0.0160183
+0.0173859
+0.0186106
+0.019917
+0.0203997
+0.0208864
+0.021467
+0.0211821
+0.0209765
+0.0209988
+0.0209398
+0.0198544
+0.0189397
+0.018199
+0.017689
+0.0173812
+0.0172786
+0.0172435
+0.0174061
+0.0175564
+0.0176386
+0.0179489
+0.0184239
+0.0186186
+0.0190466
+0.0195386
+0.0202569
+0.0211609
+0.0222186
+0.0210516
+0.0194031
+0.0178714
+0.0164892
+0.0152511
+0.0140973
+0.0131735
+0.012231
+0.0111254
+0.0103173
+0.00958352
+0.00920058
+0.00839682
+0.00807193
+0.00833089
+0.00909043
+0.0102092
+0.0116368
+0.0132742
+0.0140299
+0.0120202
+0.0100406
+0.0080702
+0.00602894
+0.00409584
+0.00220812
+0.000723215
+1.20511e-05
+0.000823627
+0.0025441
+0.00441815
+0.00641174
+0.00838087
+0.0103478
+0.01239
+0.0144756
+0.0165145
+0.018559
+0.0206318
+0.0227267
+0.0248379
+0.0346608
+0.0329003
+0.0311294
+0.0293656
+0.0276097
+0.0258405
+0.024138
+0.0224957
+0.0208889
+0.0193383
+0.0178713
+0.0165072
+0.0151802
+0.0138911
+0.0128177
+0.0117347
+0.010883
+0.0101454
+0.00966743
+0.00926491
+0.00904655
+0.00918913
+0.00949642
+0.0100667
+0.0108855
+0.0116632
+0.012648
+0.013745
+0.0148995
+0.0161771
+0.0174012
+0.0187038
+0.0201521
+0.0213501
+0.021653
+0.0221276
+0.0223077
+0.0220354
+0.0218804
+0.0219121
+0.021512
+0.0204569
+0.0195704
+0.0188546
+0.0183628
+0.0180385
+0.0177328
+0.0174707
+0.0170967
+0.0169734
+0.0170545
+0.0168908
+0.016837
+0.0170499
+0.0174219
+0.0179585
+0.0187374
+0.0197116
+0.020843
+0.0201439
+0.0187143
+0.0174098
+0.0161035
+0.0149501
+0.0137711
+0.0127454
+0.0116155
+0.0104624
+0.00958229
+0.0089265
+0.00829104
+0.00796518
+0.00784116
+0.0081075
+0.00886214
+0.0100064
+0.0114594
+0.0131189
+0.0148234
+0.0127466
+0.0107153
+0.00874131
+0.0066833
+0.00466022
+0.00271049
+0.000917926
+6.04286e-05
+0.000240268
+0.001714
+0.00362632
+0.00565873
+0.00769803
+0.00966202
+0.0116704
+0.0137345
+0.0158328
+0.017946
+0.0200533
+0.0221768
+0.0243123
+0.033818
+0.0320143
+0.0302616
+0.0285296
+0.0267954
+0.0250659
+0.0233664
+0.0216861
+0.0200968
+0.0185672
+0.017087
+0.0157561
+0.0145441
+0.013323
+0.0122449
+0.0113753
+0.0106027
+0.0100749
+0.00963743
+0.00948672
+0.00944466
+0.00967441
+0.0101873
+0.0108858
+0.011777
+0.0128302
+0.0138837
+0.0150019
+0.0162284
+0.0175062
+0.0188573
+0.0201392
+0.021496
+0.0225488
+0.0229511
+0.0235056
+0.0232485
+0.022974
+0.0228754
+0.0229381
+0.0222722
+0.0212691
+0.0204179
+0.0197087
+0.0190635
+0.0184869
+0.0176499
+0.0169997
+0.0166151
+0.0162559
+0.0157392
+0.0154141
+0.0153798
+0.0155581
+0.0159154
+0.0165178
+0.0173215
+0.0181859
+0.0189673
+0.01919
+0.0178042
+0.0165195
+0.0153891
+0.014303
+0.0132927
+0.0123519
+0.0111185
+0.0101846
+0.00924355
+0.00834376
+0.00765942
+0.0072649
+0.00740059
+0.00804233
+0.00909533
+0.0102135
+0.0116407
+0.0132775
+0.0150392
+0.0134787
+0.011419
+0.00938231
+0.00735708
+0.00524348
+0.00322104
+0.00134613
+-1.4913e-05
+9.23945e-05
+0.000995435
+0.00289178
+0.00487218
+0.00689838
+0.00899065
+0.0110984
+0.0132075
+0.0153366
+0.0174717
+0.0195732
+0.0216682
+0.0237569
+0.0329651
+0.0312311
+0.0294559
+0.0277147
+0.0260088
+0.0243451
+0.0226418
+0.0210287
+0.0194119
+0.017889
+0.0164901
+0.0151278
+0.0139396
+0.0129031
+0.0119169
+0.0111075
+0.0105279
+0.0101808
+0.00996171
+0.00988917
+0.0100554
+0.010406
+0.0109929
+0.0118446
+0.0128055
+0.0139247
+0.0151029
+0.0163678
+0.01757
+0.0188841
+0.020249
+0.0216494
+0.0229688
+0.0238854
+0.02427
+0.0247729
+0.0243189
+0.0240566
+0.0239738
+0.0240706
+0.0228651
+0.021692
+0.020685
+0.0198694
+0.019242
+0.0183121
+0.0174148
+0.0167
+0.0159806
+0.0151411
+0.0144751
+0.0140129
+0.0137946
+0.0139074
+0.014306
+0.0149007
+0.0155972
+0.0164582
+0.0169439
+0.0173308
+0.0167909
+0.0155602
+0.014409
+0.013458
+0.0127174
+0.0117613
+0.0104461
+0.00944435
+0.00839897
+0.00726048
+0.006559
+0.00655168
+0.00715108
+0.00785839
+0.00900938
+0.0104968
+0.012176
+0.0137869
+0.0154908
+0.014181
+0.012063
+0.00997639
+0.00794605
+0.00592967
+0.00392864
+0.00206125
+0.000211028
+-0.000370672
+0.000268415
+0.00224657
+0.00427382
+0.00634023
+0.00846226
+0.0105774
+0.012649
+0.0147468
+0.0168375
+0.0189508
+0.0210774
+0.0232088
+0.0321536
+0.0304059
+0.0287007
+0.0270085
+0.0252885
+0.0236164
+0.0220143
+0.0203849
+0.0188249
+0.0173574
+0.0159519
+0.0146738
+0.0135536
+0.0125665
+0.0117202
+0.011034
+0.0106476
+0.0104253
+0.0103812
+0.0105322
+0.0108581
+0.0113589
+0.0120263
+0.0128878
+0.0139671
+0.0150941
+0.0163185
+0.0176068
+0.0189986
+0.020278
+0.0216576
+0.0230676
+0.024515
+0.0253411
+0.0257037
+0.0259128
+0.0255154
+0.0245363
+0.0237097
+0.022981
+0.0220585
+0.0212827
+0.0206829
+0.0202426
+0.0191885
+0.018131
+0.0171783
+0.0159818
+0.0149002
+0.0138703
+0.0130631
+0.012526
+0.0122899
+0.0123967
+0.0127091
+0.0132246
+0.0140039
+0.0144156
+0.0149676
+0.0155581
+0.0149544
+0.0146513
+0.0136545
+0.0126469
+0.0119158
+0.0112672
+0.010139
+0.00910352
+0.00775635
+0.00653655
+0.00582182
+0.00581358
+0.00648794
+0.00771466
+0.00929233
+0.0107406
+0.0123932
+0.0141761
+0.0160603
+0.0147958
+0.0127801
+0.0107262
+0.00864957
+0.0065152
+0.00438868
+0.00235014
+0.000501649
+-0.000650661
+-0.000344311
+0.00162276
+0.00367934
+0.00573318
+0.0078331
+0.00992956
+0.0120534
+0.014187
+0.0162927
+0.0183708
+0.0204724
+0.0225909
+0.0314127
+0.0296567
+0.0279556
+0.0262799
+0.0246689
+0.0230004
+0.0213906
+0.0198591
+0.0183484
+0.0168727
+0.0155361
+0.0144039
+0.0132838
+0.0123936
+0.011622
+0.0111674
+0.0108501
+0.0108094
+0.010933
+0.0112746
+0.0117117
+0.0123661
+0.0131433
+0.014083
+0.01516
+0.0163612
+0.0175971
+0.0189128
+0.0202753
+0.0216996
+0.0230836
+0.024502
+0.025949
+0.0268967
+0.0262269
+0.0250254
+0.0239311
+0.0228911
+0.0219933
+0.0212591
+0.0204011
+0.0195621
+0.0189247
+0.0184873
+0.0182516
+0.0178352
+0.016488
+0.0151045
+0.0138703
+0.0127038
+0.011824
+0.0112588
+0.0109955
+0.0109383
+0.0111335
+0.0117185
+0.0121102
+0.0124235
+0.01306
+0.013905
+0.0132261
+0.0127322
+0.0120902
+0.0117675
+0.0112781
+0.010723
+0.00956134
+0.00837639
+0.00734095
+0.00636788
+0.00569637
+0.00568795
+0.00642502
+0.00768092
+0.00926704
+0.0110597
+0.0129618
+0.0146759
+0.0165031
+0.0153922
+0.0132535
+0.0111351
+0.00902841
+0.00693333
+0.00489811
+0.00289218
+0.000805057
+-0.000667275
+-0.000873168
+0.000970792
+0.00306347
+0.00520223
+0.00731066
+0.00936907
+0.0114534
+0.0135653
+0.0156988
+0.0178462
+0.020003
+0.0221664
+0.0306353
+0.0289626
+0.027279
+0.0256098
+0.0239957
+0.022451
+0.0209218
+0.0194033
+0.0179535
+0.0165925
+0.0152913
+0.0141395
+0.0131803
+0.0124641
+0.0117605
+0.0113272
+0.0112486
+0.0112745
+0.0115945
+0.0120657
+0.0126702
+0.0134144
+0.0143188
+0.0153332
+0.0164297
+0.0176682
+0.0189597
+0.0202652
+0.0216296
+0.0230261
+0.0244824
+0.0259557
+0.0274
+0.0262467
+0.0248537
+0.0235823
+0.0224077
+0.0213213
+0.0203667
+0.0195907
+0.0188281
+0.0179277
+0.0172305
+0.0167475
+0.0164848
+0.0164582
+0.0157197
+0.0142799
+0.0129152
+0.0117325
+0.0108357
+0.0101865
+0.0096916
+0.0095749
+0.00979729
+0.0102091
+0.010154
+0.0105107
+0.0112559
+0.012211
+0.0114677
+0.0106925
+0.00995942
+0.00958295
+0.00965612
+0.00957212
+0.00865691
+0.00741735
+0.00655473
+0.00621964
+0.00618207
+0.006238
+0.00695769
+0.00814402
+0.00965562
+0.0113873
+0.0132555
+0.01521
+0.0172154
+0.0159097
+0.0138161
+0.0117496
+0.00965562
+0.00749238
+0.0053515
+0.00327221
+0.00124481
+-0.000721716
+-0.00100737
+0.000392909
+0.0024536
+0.00455285
+0.00669723
+0.00885535
+0.0110239
+0.0131832
+0.0152567
+0.017359
+0.0194808
+0.0216163
+0.0298837
+0.0282294
+0.0266266
+0.02503
+0.0234297
+0.0218881
+0.0204441
+0.0191068
+0.0176801
+0.0163943
+0.0151915
+0.0141058
+0.0132164
+0.0125184
+0.0119543
+0.0116955
+0.0116488
+0.0118786
+0.0123418
+0.0130047
+0.0136898
+0.0145093
+0.0155132
+0.0165927
+0.0177752
+0.0189803
+0.0203361
+0.0216665
+0.0230156
+0.0244169
+0.0258517
+0.027333
+0.0265659
+0.0250628
+0.0236
+0.0222569
+0.02099
+0.0198452
+0.0188546
+0.0180147
+0.0172673
+0.0163551
+0.0155965
+0.015081
+0.0148311
+0.0148015
+0.0149822
+0.0135533
+0.0121854
+0.0109314
+0.00982845
+0.00899452
+0.00857176
+0.00827489
+0.0084247
+0.00838283
+0.00831156
+0.00870677
+0.00953423
+0.0103652
+0.00962895
+0.00870286
+0.00786159
+0.00740197
+0.00749646
+0.00819774
+0.0077954
+0.00650684
+0.00549248
+0.00522902
+0.00570101
+0.00687448
+0.00796848
+0.00908855
+0.0104945
+0.0121068
+0.0138785
+0.0157559
+0.0177033
+0.0164901
+0.0143538
+0.0122368
+0.0101482
+0.00799798
+0.0058317
+0.00369063
+0.00161716
+-0.000236966
+-0.00115996
+-0.000101084
+0.00202891
+0.00416358
+0.00628085
+0.00836636
+0.0104692
+0.0125957
+0.014741
+0.016898
+0.0190595
+0.021223
+0.0292359
+0.0275709
+0.0259592
+0.0244109
+0.0229318
+0.0214437
+0.0200037
+0.0186811
+0.0175316
+0.0163071
+0.015222
+0.0142066
+0.0134408
+0.0128071
+0.0123577
+0.0121534
+0.0122283
+0.0126089
+0.0131339
+0.0138533
+0.0147157
+0.0157165
+0.0167243
+0.0178549
+0.0190749
+0.0203524
+0.021653
+0.023058
+0.0244541
+0.0258392
+0.0272714
+0.0271939
+0.0255425
+0.0239777
+0.0224558
+0.0210493
+0.0197002
+0.0184611
+0.0173617
+0.0164125
+0.0156472
+0.0148211
+0.0140876
+0.0135168
+0.0132641
+0.0132009
+0.0131886
+0.0128413
+0.0115966
+0.0101638
+0.00899668
+0.00815848
+0.00739384
+0.00701991
+0.00704072
+0.0066737
+0.0065992
+0.00699258
+0.00771673
+0.00837857
+0.00795521
+0.00682249
+0.00583245
+0.00522914
+0.00536205
+0.00630536
+0.00629529
+0.00558757
+0.00502024
+0.00482031
+0.00532596
+0.00655678
+0.00814823
+0.00992397
+0.0116466
+0.0131307
+0.0147914
+0.0165672
+0.0184311
+0.0169398
+0.0147918
+0.0126584
+0.0105485
+0.0084185
+0.00629367
+0.00421795
+0.00221935
+0.000215001
+-0.00126749
+-0.000553864
+0.00150246
+0.00362038
+0.00576233
+0.00792201
+0.010095
+0.0122744
+0.0144335
+0.0165816
+0.0187219
+0.0208723
+0.0287225
+0.0270434
+0.0254236
+0.0238662
+0.0224004
+0.0210202
+0.0197138
+0.018418
+0.0172622
+0.0162269
+0.015401
+0.0144924
+0.0137561
+0.0131939
+0.0129176
+0.0128887
+0.0130314
+0.0134499
+0.0140896
+0.0148437
+0.0157778
+0.0168206
+0.0179389
+0.0191553
+0.0203921
+0.0216941
+0.023033
+0.0244134
+0.0258573
+0.0272978
+0.0277288
+0.0263776
+0.0246671
+0.0230081
+0.0214394
+0.0199566
+0.0185083
+0.0171635
+0.0159806
+0.0149593
+0.0139856
+0.0132479
+0.0125028
+0.011968
+0.0116485
+0.0114454
+0.0111051
+0.010717
+0.0102874
+0.00975557
+0.00857854
+0.00741715
+0.00660471
+0.00622101
+0.00571907
+0.00499502
+0.00493024
+0.00517884
+0.00589822
+0.00644865
+0.00652037
+0.00518668
+0.00397852
+0.00307373
+0.00330219
+0.00458761
+0.00492012
+0.00431651
+0.00435386
+0.00457624
+0.00555023
+0.00680747
+0.0083599
+0.0100987
+0.0118245
+0.0135252
+0.0153162
+0.0171999
+0.0191491
+0.0174317
+0.015304
+0.0131968
+0.0111067
+0.00903983
+0.00689395
+0.00476129
+0.00262238
+0.000534448
+-0.00106647
+-0.000992599
+0.00114671
+0.00327515
+0.00541861
+0.00758893
+0.00976834
+0.0119221
+0.0140702
+0.0162295
+0.0183915
+0.0205428
+0.0282687
+0.0266444
+0.025039
+0.0234817
+0.0219937
+0.0206293
+0.0193711
+0.0182809
+0.0171971
+0.0161989
+0.0153615
+0.0147914
+0.0142031
+0.013756
+0.0136176
+0.0136879
+0.0139547
+0.014407
+0.0150938
+0.0158939
+0.01687
+0.0179555
+0.0191685
+0.0203807
+0.0216814
+0.0230343
+0.0244162
+0.0258074
+0.0272289
+0.0282195
+0.0275344
+0.0257088
+0.0239251
+0.0222055
+0.0205691
+0.0189938
+0.017466
+0.0160291
+0.0147492
+0.0135462
+0.0124719
+0.0116482
+0.0109491
+0.0102967
+0.00995963
+0.0094564
+0.00898679
+0.00856148
+0.00829232
+0.00809847
+0.0078791
+0.00706737
+0.00618401
+0.00536467
+0.00424791
+0.00366033
+0.00336605
+0.00361137
+0.00411492
+0.00452215
+0.0045666
+0.00388897
+0.00256655
+0.000945946
+0.0014975
+0.00279435
+0.00367883
+0.00355112
+0.00384648
+0.00472128
+0.00568136
+0.0070082
+0.00853963
+0.010248
+0.0119973
+0.0138257
+0.0155936
+0.0174474
+0.0193717
+0.0179216
+0.015767
+0.0136239
+0.0114988
+0.00940383
+0.00724187
+0.00507406
+0.00293772
+0.000841568
+-0.000921406
+-0.00133564
+0.000752078
+0.00291336
+0.00507109
+0.0072424
+0.00941947
+0.0115357
+0.0136755
+0.0158291
+0.0179918
+0.0201604
+0.0278849
+0.0263063
+0.0247493
+0.0232162
+0.021772
+0.020405
+0.0191681
+0.0180744
+0.0171915
+0.0163344
+0.0155771
+0.0150271
+0.0147355
+0.0144444
+0.0143316
+0.0145042
+0.0149225
+0.0155057
+0.0161831
+0.0170526
+0.0180299
+0.0191483
+0.0203484
+0.0216121
+0.0229544
+0.0243192
+0.0257746
+0.0271947
+0.0286481
+0.0286115
+0.0269053
+0.0250894
+0.0233162
+0.0215566
+0.0198706
+0.0181938
+0.0165754
+0.0150685
+0.0136401
+0.0123097
+0.0111704
+0.0101715
+0.00931164
+0.00865466
+0.00820193
+0.00749418
+0.00687537
+0.0064297
+0.00612201
+0.00614019
+0.00593372
+0.00586954
+0.00585954
+0.00451614
+0.00328757
+0.00253954
+0.00191146
+0.00226168
+0.00266273
+0.00289322
+0.00253162
+0.0023165
+0.00156045
+-8.20423e-05
+0.000704051
+0.00173873
+0.00279053
+0.00373639
+0.00408326
+0.00515804
+0.00633671
+0.0075965
+0.0090796
+0.0107097
+0.0124341
+0.0142627
+0.01614
+0.0179549
+0.0198353
+0.0183027
+0.0161479
+0.0140043
+0.0118779
+0.00977996
+0.00760833
+0.00543896
+0.00329707
+0.00116864
+-0.000754847
+-0.00130388
+0.000440862
+0.00258103
+0.00473604
+0.00691234
+0.00909503
+0.0112733
+0.0134331
+0.0155721
+0.0177175
+0.019868
+0.0276132
+0.0260397
+0.0245585
+0.0230926
+0.0216847
+0.020348
+0.0191331
+0.0180659
+0.0171826
+0.0165209
+0.0159328
+0.0155042
+0.0153181
+0.0151992
+0.0152683
+0.0154372
+0.0158672
+0.0164847
+0.0173311
+0.0182576
+0.0192746
+0.0203718
+0.0216022
+0.022869
+0.0242009
+0.0256214
+0.027047
+0.0285322
+0.0294793
+0.0283418
+0.0264432
+0.0245932
+0.0227911
+0.021026
+0.0192812
+0.0175057
+0.0158347
+0.0142731
+0.012788
+0.0113531
+0.00999028
+0.00872228
+0.00770778
+0.00697649
+0.00628485
+0.00548523
+0.00480156
+0.0043325
+0.0039613
+0.0040018
+0.00387846
+0.00374076
+0.00447603
+0.00439326
+0.00302913
+0.00196705
+0.00112158
+0.00113197
+0.000967987
+0.00106788
+0.000790429
+0.000675075
+0.000248011
+-0.000368546
+0.00024266
+0.00151106
+0.00265134
+0.00317029
+0.00421892
+0.00559001
+0.00720258
+0.00847345
+0.00987927
+0.0113027
+0.012508
+0.0139113
+0.0154874
+0.0171899
+0.0189928
+0.0187297
+0.016568
+0.014415
+0.0122753
+0.0101574
+0.00805103
+0.00588885
+0.00375281
+0.00163958
+-0.000318937
+-0.00116316
+0.000144657
+0.00229922
+0.00446802
+0.00663127
+0.00878691
+0.0109383
+0.0130641
+0.0151607
+0.0172806
+0.0194163
+0.0274527
+0.0259035
+0.0244188
+0.023028
+0.0217507
+0.0204835
+0.0193121
+0.0182767
+0.0174041
+0.0167511
+0.0163239
+0.016099
+0.0159198
+0.0159713
+0.0161204
+0.0164702
+0.0169792
+0.0175725
+0.0184035
+0.0193852
+0.0204656
+0.0216473
+0.0228919
+0.0241909
+0.0255169
+0.0268976
+0.0283522
+0.0298398
+0.0300099
+0.0280532
+0.0261336
+0.0242599
+0.0224067
+0.0205701
+0.0187409
+0.0169092
+0.0151676
+0.0134942
+0.0118916
+0.0103553
+0.00889355
+0.00744604
+0.00616492
+0.00521521
+0.00459486
+0.00360208
+0.00280278
+0.0023244
+0.00182816
+0.00182827
+0.00183879
+0.0016028
+0.00273423
+0.00319183
+0.00285321
+0.00157348
+0.00049231
+-0.000456152
+-0.000965464
+-0.000569109
+-0.000799248
+-0.0013928
+-0.001683
+-0.00209507
+-0.00100495
+-1.86588e-06
+0.00176884
+0.00217612
+0.00337847
+0.00497098
+0.0067449
+0.00839883
+0.00906902
+0.0100674
+0.0113591
+0.0128806
+0.0145686
+0.016367
+0.0182514
+0.0191767
+0.0170485
+0.0148954
+0.0127545
+0.010634
+0.0085411
+0.006431
+0.00427196
+0.00215099
+0.000180937
+-0.00102097
+-0.000115821
+0.002039
+0.00418359
+0.00626442
+0.00836372
+0.0104963
+0.0126399
+0.0147967
+0.0169622
+0.0191334
+0.0272971
+0.0258372
+0.0244588
+0.0230674
+0.0218076
+0.0206569
+0.0195695
+0.0186651
+0.0178562
+0.0172426
+0.0168423
+0.0166824
+0.0166411
+0.0167498
+0.0170663
+0.0175186
+0.0181035
+0.0188022
+0.0195959
+0.0205674
+0.0216645
+0.0228507
+0.0241306
+0.0255061
+0.0268876
+0.0282565
+0.0296723
+0.0311519
+0.0298951
+0.0279304
+0.0260018
+0.0240913
+0.0221779
+0.0203207
+0.0184451
+0.0165807
+0.0147517
+0.013025
+0.0112606
+0.00956898
+0.00779971
+0.00621916
+0.00484984
+0.00374813
+0.00322737
+0.00204109
+0.00107684
+0.000501574
+-0.000106187
+-0.000345446
+-0.000153754
+-0.000349105
+0.000988524
+0.00143745
+0.00103149
+7.01213e-05
+-0.000642882
+-0.00181012
+-0.0026156
+-0.00248977
+-0.00271138
+-0.00349664
+-0.00370106
+-0.0036154
+-0.00250551
+-0.000859406
+0.00044128
+0.0018515
+0.00330607
+0.00498299
+0.00630049
+0.0071821
+0.00793654
+0.00903999
+0.0104591
+0.012081
+0.013856
+0.0155326
+0.0173154
+0.0191749
+0.0175439
+0.0153976
+0.0132659
+0.0111313
+0.00896215
+0.00680588
+0.00467689
+0.00257585
+0.000649008
+-0.000763951
+-0.000351676
+0.0017142
+0.0038607
+0.00601978
+0.00817437
+0.0102678
+0.0123375
+0.0144429
+0.0165704
+0.0187125
+0.027252
+0.025818
+0.0244662
+0.0232381
+0.0220391
+0.0209288
+0.0199574
+0.0190527
+0.0183479
+0.0178557
+0.0175699
+0.0174338
+0.0174291
+0.0176709
+0.0180432
+0.0185716
+0.0192824
+0.0200345
+0.0208979
+0.0218613
+0.0229361
+0.0241178
+0.0253873
+0.0267299
+0.0281489
+0.02964
+0.0310618
+0.031932
+0.0299407
+0.0279791
+0.0260262
+0.0240673
+0.0221519
+0.0202915
+0.0183846
+0.0164833
+0.0146321
+0.0127782
+0.0109581
+0.00902408
+0.00711086
+0.00528402
+0.00363492
+0.00244758
+0.00160762
+0.00114397
+0.000239117
+-0.000675339
+-0.00149765
+-0.00227156
+-0.00206297
+-0.00171136
+-0.000611211
+0.000369075
+-0.000688105
+-0.00133333
+-0.00241916
+-0.00326008
+-0.00415184
+-0.00463793
+-0.00480411
+-0.00538512
+-0.00580572
+-0.00532267
+-0.00393187
+-0.00231147
+-0.00040413
+0.00132682
+0.00313579
+0.00425165
+0.00505279
+0.00597852
+0.00679108
+0.00801482
+0.00938544
+0.0108741
+0.0125599
+0.0143824
+0.0162916
+0.0182556
+0.0179248
+0.0157734
+0.0136345
+0.0115151
+0.00939891
+0.00724017
+0.00510868
+0.00304388
+0.00110128
+-0.000414297
+-0.000474991
+0.00151473
+0.00354492
+0.00560706
+0.00771997
+0.00984932
+0.0119915
+0.0141485
+0.0163145
+0.0184504
+0.0272431
+0.0258815
+0.024616
+0.0233965
+0.0223258
+0.0213242
+0.0204358
+0.0196438
+0.0189765
+0.0185009
+0.018236
+0.0182207
+0.0183395
+0.018595
+0.0190644
+0.0196599
+0.0203716
+0.0212463
+0.0222089
+0.0231816
+0.0242771
+0.0254332
+0.0266842
+0.0280274
+0.0294259
+0.0308765
+0.032404
+0.0321244
+0.0301457
+0.0281508
+0.0261669
+0.0242185
+0.0223152
+0.0203934
+0.018493
+0.0166311
+0.014711
+0.0128128
+0.0109068
+0.00886505
+0.00687145
+0.00486101
+0.00301414
+0.00143989
+0.000451691
+-0.000110134
+-0.00053975
+-0.000834501
+-0.00147828
+-0.00238936
+-0.00282547
+-0.0027661
+-0.00190082
+-0.00146469
+-0.00188166
+-0.00285302
+-0.00389843
+-0.00516347
+-0.00601342
+-0.00679649
+-0.00695742
+-0.00738694
+-0.00795695
+-0.00702174
+-0.00525374
+-0.00340392
+-0.00158308
+0.000292489
+0.00185225
+0.00299058
+0.00369163
+0.00465657
+0.0054956
+0.00655648
+0.00797052
+0.00966623
+0.01153
+0.0134924
+0.0154657
+0.0174475
+0.0183469
+0.0161955
+0.0140563
+0.0119358
+0.00983789
+0.00774087
+0.005645
+0.00355236
+0.00155575
+-7.39707e-05
+-0.00053209
+0.0012348
+0.00332807
+0.00546128
+0.00758939
+0.0097212
+0.011866
+0.0140185
+0.0161071
+0.0180498
+0.027365
+0.0260098
+0.0247745
+0.0236778
+0.0226891
+0.0217792
+0.0209489
+0.0202852
+0.0197001
+0.0192907
+0.0191209
+0.0191083
+0.0193094
+0.0196628
+0.0201409
+0.0207981
+0.0215666
+0.0224344
+0.0234374
+0.024556
+0.0256368
+0.0267907
+0.0280504
+0.0293533
+0.0307362
+0.0321857
+0.0336683
+0.0324521
+0.0304332
+0.0284397
+0.0264774
+0.0245537
+0.0226279
+0.0207009
+0.0188316
+0.0169363
+0.0150111
+0.0130857
+0.011134
+0.00912517
+0.00713124
+0.00521578
+0.00333325
+0.00173928
+0.00080075
+0.000160991
+-0.000575865
+-0.00135122
+-0.00164776
+-0.00232726
+-0.00316128
+-0.0033977
+-0.00338624
+-0.00315237
+-0.00347082
+-0.00414909
+-0.00543638
+-0.00685727
+-0.00795363
+-0.00870337
+-0.00910324
+-0.00945998
+-0.0101072
+-0.00827352
+-0.00645716
+-0.00457114
+-0.00257232
+-0.000760354
+0.000754591
+0.00155541
+0.0025023
+0.00306002
+0.00400538
+0.00528085
+0.00694463
+0.00869563
+0.010601
+0.0125993
+0.0146461
+0.0166196
+0.0186334
+0.0166096
+0.0144818
+0.0123632
+0.0102088
+0.0080588
+0.00593028
+0.0038577
+0.00189914
+0.000368975
+-0.000506001
+0.00100331
+0.00302614
+0.00510473
+0.00724506
+0.00940861
+0.0115082
+0.0135756
+0.0156704
+0.0177385
+0.027616
+0.0262929
+0.0250716
+0.0239885
+0.0230632
+0.0223152
+0.0215162
+0.0209062
+0.0204836
+0.0201677
+0.0200094
+0.0200896
+0.0203367
+0.0207917
+0.0213567
+0.0220063
+0.0228007
+0.0236779
+0.0246936
+0.0258003
+0.0270052
+0.0281747
+0.0293877
+0.0307093
+0.0320996
+0.0335126
+0.034855
+0.0328494
+0.0308565
+0.0288922
+0.0269629
+0.025047
+0.023114
+0.0212311
+0.0193728
+0.0174745
+0.0155518
+0.0136554
+0.0117014
+0.00980936
+0.00793198
+0.00612591
+0.00448402
+0.00328234
+0.0025286
+0.00141003
+-9.37844e-05
+-0.000971328
+-0.00153007
+-0.00196574
+-0.00265911
+-0.00349897
+-0.00442838
+-0.00483829
+-0.00470501
+-0.00530079
+-0.00640255
+-0.00790449
+-0.00967035
+-0.0105627
+-0.011251
+-0.0115764
+-0.0112912
+-0.00946806
+-0.00746213
+-0.00556567
+-0.00385828
+-0.00230689
+-0.000806247
+0.000450859
+0.00110496
+0.00186652
+0.00260872
+0.00399394
+0.00578979
+0.00779038
+0.00987202
+0.0119784
+0.01399
+0.0160474
+0.0180543
+0.0169199
+0.0147803
+0.0126582
+0.0105599
+0.00844278
+0.00634417
+0.00428937
+0.00232665
+0.000673274
+-0.000100692
+0.000829808
+0.00278808
+0.00485754
+0.00691105
+0.00897992
+0.0110957
+0.0131787
+0.0152805
+0.0173852
+0.0279882
+0.0266995
+0.0255233
+0.024459
+0.0235508
+0.0228176
+0.0222764
+0.0216969
+0.0212901
+0.0210885
+0.0210381
+0.0211148
+0.0214111
+0.0218864
+0.0225303
+0.0232731
+0.0241166
+0.0250062
+0.0259867
+0.0271091
+0.0282976
+0.029563
+0.0308109
+0.0320738
+0.0334328
+0.0348765
+0.0353722
+0.0333861
+0.0314272
+0.0294964
+0.0275975
+0.0256746
+0.0237926
+0.0219624
+0.0200855
+0.0182121
+0.0163307
+0.0144801
+0.0126145
+0.0108235
+0.00909402
+0.00748273
+0.00612
+0.00522139
+0.00418654
+0.00269256
+0.00164326
+0.000947632
+0.000329965
+-0.00032647
+-0.0015077
+-0.00273007
+-0.00367698
+-0.00447941
+-0.00506406
+-0.00595435
+-0.00728173
+-0.00877737
+-0.0105071
+-0.0123804
+-0.0133249
+-0.0137034
+-0.0123584
+-0.010432
+-0.00863241
+-0.00695621
+-0.00540401
+-0.00385981
+-0.00243083
+-0.00124719
+-0.000278967
+0.000437127
+0.00141553
+0.00319783
+0.00527138
+0.00741263
+0.00953966
+0.0114525
+0.0133781
+0.0153539
+0.017381
+0.0173018
+0.0151765
+0.0130728
+0.0109983
+0.00888225
+0.00678142
+0.00476099
+0.00285126
+0.00122276
+0.000325084
+0.000741064
+0.00254573
+0.00453296
+0.00660832
+0.00868515
+0.0107787
+0.0129045
+0.0150141
+0.0171341
+0.0284336
+0.0272003
+0.0260706
+0.0250696
+0.0241854
+0.0234719
+0.0229312
+0.0224427
+0.0221609
+0.0220608
+0.022115
+0.0222834
+0.0225695
+0.023045
+0.02369
+0.0244742
+0.0253687
+0.0263188
+0.0273743
+0.0284445
+0.0296358
+0.0308973
+0.032214
+0.0335261
+0.0348284
+0.0362165
+0.0360023
+0.0340434
+0.0321145
+0.0302213
+0.0283427
+0.0264691
+0.0246477
+0.0228049
+0.0209928
+0.0191261
+0.0173097
+0.0154936
+0.013763
+0.0121251
+0.0105354
+0.009107
+0.0080002
+0.00717309
+0.00566941
+0.00444345
+0.0036392
+0.00296659
+0.00227932
+0.00123919
+-6.52495e-05
+-0.00144646
+-0.0029216
+-0.00411565
+-0.00477453
+-0.00591186
+-0.00743065
+-0.00912573
+-0.010729
+-0.0125097
+-0.0143791
+-0.0153188
+-0.0134597
+-0.0116967
+-0.0100541
+-0.00841643
+-0.00680525
+-0.00516239
+-0.00366233
+-0.00246347
+-0.00159996
+-0.000624424
+0.000629774
+0.00278832
+0.00495535
+0.00707581
+0.00887043
+0.0107877
+0.0127914
+0.014848
+0.0169382
+0.0177827
+0.0156576
+0.0135472
+0.0114645
+0.00942761
+0.00734712
+0.00531167
+0.00344505
+0.00185504
+0.000981209
+0.000939617
+0.00235443
+0.00425379
+0.00629962
+0.00840544
+0.0105274
+0.0125939
+0.0146959
+0.016815
+0.0289718
+0.0277621
+0.0266727
+0.025695
+0.0248369
+0.024144
+0.0236302
+0.0232677
+0.022996
+0.022912
+0.0230159
+0.0233219
+0.0237521
+0.024266
+0.0249106
+0.0256964
+0.0266179
+0.0276429
+0.0286826
+0.0298468
+0.0309979
+0.0322426
+0.0335779
+0.034931
+0.0363027
+0.0376365
+0.0367295
+0.0348115
+0.0329276
+0.031084
+0.029229
+0.0274029
+0.0256066
+0.0238153
+0.0219849
+0.020188
+0.0184437
+0.0167315
+0.0151431
+0.013603
+0.0121498
+0.0109247
+0.00997846
+0.00870307
+0.00741755
+0.00641184
+0.00565994
+0.00497767
+0.00406861
+0.00289082
+0.00157408
+9.78477e-05
+-0.00121945
+-0.00245439
+-0.00379692
+-0.00544783
+-0.00723183
+-0.00908518
+-0.0110584
+-0.0129123
+-0.0147565
+-0.0160078
+-0.0141231
+-0.0123399
+-0.010709
+-0.00896733
+-0.00726276
+-0.00576421
+-0.00432539
+-0.00334946
+-0.00229416
+-0.00129131
+0.000729466
+0.00273419
+0.00471398
+0.00664541
+0.0084976
+0.0104812
+0.0125339
+0.0146267
+0.0167446
+0.0182286
+0.0161015
+0.0139941
+0.0119148
+0.00986527
+0.00788891
+0.00589726
+0.00403777
+0.00248156
+0.00152562
+0.00136952
+0.00240494
+0.00406544
+0.0059775
+0.00801873
+0.0101073
+0.0121868
+0.0142995
+0.0164326
+0.0295957
+0.0284133
+0.0273408
+0.0263875
+0.025561
+0.0248883
+0.0243943
+0.0240544
+0.0238958
+0.0238336
+0.0239668
+0.024265
+0.024754
+0.025373
+0.0260937
+0.0269305
+0.0278672
+0.0288742
+0.0300077
+0.0311598
+0.0323688
+0.0336391
+0.0349253
+0.0362982
+0.0377068
+0.0391258
+0.0375705
+0.0356977
+0.0338632
+0.0320417
+0.0302222
+0.028455
+0.0266805
+0.024901
+0.0231232
+0.0214221
+0.0197398
+0.0181503
+0.0166782
+0.0152149
+0.0139198
+0.0128489
+0.0117664
+0.0104174
+0.00927716
+0.00846611
+0.00776088
+0.00694972
+0.00589873
+0.00464593
+0.00318448
+0.00182753
+0.000597552
+-0.00071808
+-0.00244942
+-0.0042668
+-0.00622557
+-0.00830109
+-0.0103728
+-0.0122522
+-0.0135248
+-0.0149014
+-0.0145541
+-0.0128309
+-0.0112458
+-0.00967301
+-0.00816309
+-0.00661874
+-0.00532884
+-0.00412565
+-0.00282304
+-0.00123046
+0.000899297
+0.00274305
+0.00462286
+0.00663383
+0.00856237
+0.010593
+0.0126561
+0.0147316
+0.0168363
+0.0187011
+0.0166208
+0.0145428
+0.0124782
+0.0103864
+0.0083405
+0.00639132
+0.0046105
+0.00314213
+0.00218662
+0.0019465
+0.0025392
+0.00397705
+0.00580458
+0.00779318
+0.00986774
+0.0119546
+0.0140489
+0.0161687
+0.0303182
+0.0291646
+0.0281339
+0.0272204
+0.0264473
+0.0257977
+0.0253214
+0.0249941
+0.0248537
+0.0248742
+0.0250071
+0.0253295
+0.0258124
+0.026437
+0.027207
+0.0280723
+0.0290176
+0.030093
+0.031253
+0.0324725
+0.0337099
+0.0349678
+0.0363121
+0.0376718
+0.0390666
+0.0403786
+0.0385178
+0.0366935
+0.0348988
+0.0330913
+0.0313328
+0.0295927
+0.0278565
+0.0260961
+0.0244055
+0.0227722
+0.0211837
+0.0196996
+0.0182911
+0.016948
+0.0157867
+0.0148104
+0.0134472
+0.0122513
+0.0112523
+0.0104754
+0.00972848
+0.00886798
+0.00771341
+0.00627502
+0.00488159
+0.00363528
+0.00232717
+0.000336615
+-0.00149435
+-0.00343781
+-0.00551018
+-0.0073985
+-0.00938829
+-0.0108388
+-0.0121249
+-0.0135701
+-0.014738
+-0.0135016
+-0.0118144
+-0.0103015
+-0.00902626
+-0.00765742
+-0.00625678
+-0.00524715
+-0.00389405
+-0.00198156
+-4.52513e-05
+0.00190735
+0.00397494
+0.00610389
+0.00826053
+0.0104314
+0.0126091
+0.0147294
+0.0167951
+0.0188849
+0.01707
+0.0149841
+0.0129328
+0.0109358
+0.00897195
+0.00703798
+0.0052915
+0.00383797
+0.00270439
+0.00222865
+0.00271319
+0.00402268
+0.00573844
+0.007649
+0.00960635
+0.0116384
+0.0137121
+0.0157876
+0.0311628
+0.0300425
+0.0290429
+0.0281588
+0.0274113
+0.0268197
+0.0263972
+0.0260844
+0.0259499
+0.026
+0.0261797
+0.0264878
+0.0269699
+0.0275862
+0.0283433
+0.0292165
+0.030171
+0.031221
+0.0323837
+0.0336335
+0.0349235
+0.0362798
+0.0376424
+0.0390176
+0.0404447
+0.0413777
+0.0395639
+0.0377901
+0.0359985
+0.0342491
+0.0325392
+0.0308218
+0.0290951
+0.0274144
+0.0258103
+0.0242335
+0.0227272
+0.0213284
+0.0199976
+0.0187701
+0.017685
+0.0165023
+0.0152487
+0.0141498
+0.0132943
+0.012535
+0.0117192
+0.0107077
+0.00936702
+0.00795418
+0.00667244
+0.00513315
+0.00322774
+0.00130841
+-0.000569144
+-0.00250468
+-0.00449307
+-0.00654735
+-0.00803113
+-0.00951468
+-0.010904
+-0.0123888
+-0.01331
+-0.0121845
+-0.0111515
+-0.00991993
+-0.00873496
+-0.00788853
+-0.00756519
+-0.0064382
+-0.00461761
+-0.00246844
+-0.00041107
+0.00164503
+0.00380952
+0.00580465
+0.00780613
+0.00986886
+0.0119652
+0.0140903
+0.0162244
+0.0183332
+0.0176503
+0.0155946
+0.0135458
+0.0115321
+0.00958981
+0.00771726
+0.00601228
+0.00455863
+0.0033311
+0.00284747
+0.00309365
+0.0041359
+0.00566103
+0.00747139
+0.00941716
+0.0114287
+0.0134957
+0.0155617
+0.0320488
+0.0310197
+0.0300675
+0.0292024
+0.0284798
+0.0279109
+0.0275051
+0.0272144
+0.0270856
+0.0271335
+0.0273574
+0.0277014
+0.0281966
+0.028835
+0.0295741
+0.0304371
+0.0313832
+0.0324192
+0.0335405
+0.0347637
+0.0360685
+0.0374433
+0.0388582
+0.0403121
+0.0417766
+0.0424652
+0.0407012
+0.0389351
+0.0371948
+0.0355045
+0.0338032
+0.032113
+0.0304412
+0.0288391
+0.0272902
+0.0257716
+0.0243506
+0.0230506
+0.021775
+0.0206154
+0.0195709
+0.0182729
+0.0171176
+0.0161226
+0.0153435
+0.0145671
+0.0136864
+0.0124602
+0.0110396
+0.0097327
+0.00806922
+0.006222
+0.00421494
+0.00233553
+0.000336102
+-0.00169715
+-0.00361233
+-0.00530901
+-0.0067477
+-0.00832637
+-0.00961906
+-0.0109921
+-0.011694
+-0.0107681
+-0.00964918
+-0.00870202
+-0.00732436
+-0.00633102
+-0.00594339
+-0.00620697
+-0.00471892
+-0.00264348
+-0.000782976
+0.00091106
+0.00294772
+0.00506704
+0.00721502
+0.00932309
+0.0114622
+0.0136136
+0.0157616
+0.0179159
+0.0182355
+0.016167
+0.0141171
+0.0121166
+0.0101946
+0.00838253
+0.00666256
+0.00514943
+0.00396196
+0.00334776
+0.00345721
+0.0043789
+0.00581217
+0.00751123
+0.00936442
+0.011241
+0.0131679
+0.0151666
+0.0330561
+0.0320597
+0.0311825
+0.0303473
+0.0296508
+0.0290981
+0.028677
+0.0283942
+0.0282707
+0.0283166
+0.0285312
+0.0289107
+0.0294301
+0.0300583
+0.0308281
+0.0316966
+0.0326341
+0.033667
+0.0347786
+0.0359774
+0.0372494
+0.0385973
+0.0400052
+0.0414803
+0.0429691
+0.0436266
+0.041895
+0.0401635
+0.0384788
+0.0368038
+0.0351413
+0.0334811
+0.0318812
+0.0303437
+0.0288259
+0.0273898
+0.0260572
+0.0248029
+0.0235888
+0.0225228
+0.0213118
+0.0201089
+0.019035
+0.0181454
+0.0173785
+0.0165557
+0.0155553
+0.014124
+0.0127712
+0.0110917
+0.00910368
+0.00713984
+0.00504973
+0.00308772
+0.00111865
+-0.000799975
+-0.00243496
+-0.00411647
+-0.0057349
+-0.00689837
+-0.00832029
+-0.00986531
+-0.0100741
+-0.00907276
+-0.00828001
+-0.00738947
+-0.00620419
+-0.00507533
+-0.00459009
+-0.00497331
+-0.00543858
+-0.00383424
+-0.00179421
+0.000298701
+0.00244889
+0.00461794
+0.00680036
+0.00898679
+0.0111749
+0.0133639
+0.0155444
+0.0177251
+0.0186911
+0.0166296
+0.0145923
+0.0126066
+0.0107011
+0.00889981
+0.00721648
+0.00575638
+0.00450215
+0.00376581
+0.00399972
+0.0047849
+0.00597779
+0.00744834
+0.00914876
+0.0109868
+0.0128416
+0.0147886
+0.0340211
+0.0331787
+0.0323344
+0.0315928
+0.0309168
+0.030363
+0.0299595
+0.0296865
+0.0295683
+0.0296121
+0.0298173
+0.0301805
+0.0306671
+0.0312987
+0.0320678
+0.0329647
+0.0338912
+0.0349016
+0.0360038
+0.0371983
+0.0384597
+0.0397986
+0.0411659
+0.0426008
+0.0440978
+0.044865
+0.0431503
+0.0414713
+0.0398183
+0.0381576
+0.0365307
+0.0349331
+0.0333969
+0.0318832
+0.0304407
+0.0290831
+0.0278317
+0.0265906
+0.0254619
+0.0243657
+0.0231235
+0.0219983
+0.0210059
+0.0202033
+0.0194297
+0.0185468
+0.0172033
+0.0158328
+0.0139706
+0.0119504
+0.00990641
+0.00794104
+0.00594779
+0.00384985
+0.00180446
+-8.95395e-05
+-0.0016556
+-0.00310272
+-0.00414081
+-0.00548867
+-0.00707369
+-0.00875529
+-0.00863627
+-0.00756747
+-0.00670476
+-0.00594316
+-0.0049537
+-0.00386975
+-0.00334488
+-0.00395263
+-0.00522483
+-0.00362868
+-0.00162454
+0.000293053
+0.00244066
+0.00462636
+0.00681482
+0.00900428
+0.0111942
+0.0133844
+0.0155746
+0.017765
+0.0191671
+0.0171515
+0.0151843
+0.0132257
+0.0113392
+0.00953438
+0.00792226
+0.00648083
+0.00524014
+0.00455592
+0.00453926
+0.00509811
+0.00603164
+0.0073057
+0.00889723
+0.0106511
+0.012543
+0.0144854
+0.0348185
+0.0340942
+0.0334685
+0.0328614
+0.0322591
+0.0317287
+0.0313186
+0.0310524
+0.0309395
+0.0309814
+0.0311776
+0.0315251
+0.0320022
+0.032608
+0.0333468
+0.0342103
+0.0351891
+0.0361731
+0.0372377
+0.0383938
+0.0396374
+0.0409409
+0.0423148
+0.0437552
+0.0452548
+0.0461474
+0.0444781
+0.0428405
+0.041186
+0.0395827
+0.0379925
+0.0364534
+0.0349474
+0.0334954
+0.0321227
+0.0308391
+0.0296123
+0.0284347
+0.0273821
+0.0261544
+0.0249841
+0.0239257
+0.0230166
+0.022245
+0.0214197
+0.0202884
+0.0188319
+0.0168046
+0.0146878
+0.0125922
+0.0105354
+0.00852773
+0.0066033
+0.00468645
+0.00287096
+0.00115161
+-0.000223342
+-0.00162733
+-0.00306491
+-0.00446558
+-0.0060933
+-0.00764498
+-0.0068862
+-0.00607048
+-0.00550092
+-0.00472803
+-0.00380969
+-0.00258983
+-0.00190236
+-0.00282392
+-0.00360761
+-0.0024751
+-0.000837404
+0.0010021
+0.00300124
+0.00512029
+0.00717031
+0.00927626
+0.0114142
+0.0135689
+0.0157336
+0.0179046
+0.0198234
+0.0178312
+0.0158454
+0.0139117
+0.0120582
+0.0102705
+0.00858076
+0.00710805
+0.00598319
+0.00531973
+0.00510173
+0.00542881
+0.00619236
+0.00736696
+0.00888032
+0.0106163
+0.0124598
+0.0144004
+0.035682
+0.0349736
+0.0343904
+0.0339156
+0.0335731
+0.0331604
+0.0327631
+0.0325088
+0.0324009
+0.0324409
+0.0326283
+0.0329606
+0.0334212
+0.0340016
+0.0347108
+0.0355412
+0.0364843
+0.0375183
+0.0385566
+0.0396743
+0.040879
+0.0421631
+0.0434993
+0.0449018
+0.0463654
+0.0474923
+0.0458689
+0.0442233
+0.0426225
+0.0410577
+0.0395163
+0.0380171
+0.0365557
+0.0351702
+0.0338628
+0.0326411
+0.0314318
+0.0303251
+0.0291949
+0.027988
+0.0268854
+0.025895
+0.0250575
+0.0242792
+0.0233769
+0.0214768
+0.0193724
+0.0172895
+0.0152368
+0.0132032
+0.0112254
+0.00934301
+0.0075422
+0.00567744
+0.00395333
+0.00248643
+0.00110148
+-0.000157088
+-0.00193631
+-0.00357345
+-0.00513412
+-0.00633388
+-0.00529263
+-0.00427544
+-0.00372414
+-0.00309296
+-0.0023133
+-0.00141975
+-0.000234058
+-0.00163683
+-0.00206284
+-0.000704711
+0.000483196
+0.00219885
+0.0040016
+0.00593454
+0.0078757
+0.0098869
+0.0119609
+0.0140588
+0.0161756
+0.018307
+0.0204194
+0.018442
+0.0165024
+0.014588
+0.0126962
+0.0109071
+0.00923378
+0.00781983
+0.0067398
+0.00607051
+0.00584008
+0.00598222
+0.00661371
+0.00773925
+0.00918011
+0.0108083
+0.0125964
+0.0144954
+0.0365579
+0.0358926
+0.0353324
+0.034893
+0.034587
+0.0344117
+0.0342868
+0.0340439
+0.0339409
+0.0339791
+0.0341581
+0.0344712
+0.034897
+0.0354533
+0.036134
+0.0369323
+0.0378408
+0.0388517
+0.0399235
+0.0410319
+0.0421978
+0.043443
+0.0447464
+0.0461109
+0.0475373
+0.0488984
+0.0472647
+0.0456693
+0.044121
+0.0425844
+0.041091
+0.0396219
+0.038222
+0.0368983
+0.0356476
+0.0344468
+0.0332961
+0.0322463
+0.0310104
+0.0298669
+0.028819
+0.0278974
+0.0271201
+0.0262298
+0.0241421
+0.0220744
+0.0200256
+0.0179977
+0.0160126
+0.0140887
+0.0122461
+0.0103992
+0.00856291
+0.00681933
+0.00529813
+0.00367222
+0.0018989
+0.00030304
+-0.000864
+-0.00232101
+-0.00397183
+-0.00446417
+-0.00350751
+-0.00280812
+-0.00228186
+-0.00185743
+-0.0012651
+-0.000281579
+0.00103362
+4.23942e-05
+-0.000290354
+0.00100567
+0.00217309
+0.003287
+0.00456105
+0.0062733
+0.00817484
+0.0101931
+0.0122681
+0.0143745
+0.0164579
+0.0185599
+0.0206803
+0.0190487
+0.0170796
+0.0151714
+0.0133481
+0.0116155
+0.0100603
+0.00870755
+0.00749702
+0.00670431
+0.00635744
+0.00643502
+0.0070787
+0.00810749
+0.00940701
+0.010973
+0.0126651
+0.0144913
+0.0374654
+0.0368166
+0.0362887
+0.0358869
+0.0356155
+0.0354777
+0.0354239
+0.0355039
+0.0355462
+0.0355827
+0.0357537
+0.0360373
+0.0364448
+0.0369778
+0.037631
+0.0383982
+0.0392728
+0.0402477
+0.0412996
+0.0424055
+0.0435774
+0.0447935
+0.0460639
+0.0473905
+0.0487795
+0.0502257
+0.0487189
+0.0471728
+0.0456565
+0.0441643
+0.0426927
+0.0412806
+0.0399389
+0.0386686
+0.0374653
+0.0362884
+0.035198
+0.0340439
+0.0328626
+0.031776
+0.0307871
+0.0299261
+0.0289505
+0.0269003
+0.0248557
+0.0228364
+0.0208517
+0.0189125
+0.0170343
+0.0152063
+0.0133447
+0.0115316
+0.00981492
+0.00827895
+0.00660053
+0.0048608
+0.00312255
+0.00138529
+-8.7561e-05
+-0.00178593
+-0.00313243
+-0.00297077
+-0.0017634
+-0.000825563
+-0.000304636
+1.14342e-05
+0.000613044
+0.00147258
+0.00102824
+0.00102818
+0.00171517
+0.00178034
+0.00226037
+0.00342395
+0.00492978
+0.00658931
+0.00841979
+0.0103906
+0.0124326
+0.0145152
+0.0166255
+0.0187179
+0.0208223
+0.0196878
+0.017792
+0.0159376
+0.0141246
+0.0124235
+0.0108433
+0.00945394
+0.00834252
+0.00758296
+0.00695402
+0.00691272
+0.00742716
+0.00840425
+0.00965319
+0.0111234
+0.0127876
+0.0145147
+0.0384765
+0.037845
+0.0373316
+0.0369412
+0.0366776
+0.0365432
+0.036515
+0.036618
+0.0368513
+0.0372024
+0.0373907
+0.0376657
+0.0380558
+0.0385665
+0.0391932
+0.0399305
+0.0407722
+0.041712
+0.042728
+0.0438144
+0.0449621
+0.046173
+0.0474355
+0.0487248
+0.0500767
+0.0514865
+0.0502266
+0.0487284
+0.0472353
+0.0457672
+0.0443448
+0.042987
+0.0416998
+0.0404693
+0.0392965
+0.038166
+0.0370845
+0.0358756
+0.0347542
+0.0337139
+0.0327835
+0.0317015
+0.0296929
+0.0276961
+0.0257132
+0.0237669
+0.0218668
+0.0200134
+0.0181649
+0.0163302
+0.0145307
+0.0128532
+0.0111571
+0.00939308
+0.0076812
+0.00608908
+0.00446205
+0.00292382
+0.000967795
+-0.000415957
+-0.00135289
+-0.00111698
+-0.000210458
+0.000228605
+0.000476306
+0.00110476
+0.00162815
+0.00190796
+0.000806017
+0.00128577
+0.000955772
+0.00124529
+0.00232499
+0.00381291
+0.00548104
+0.0072823
+0.00904504
+0.0109098
+0.0128721
+0.0148981
+0.0169651
+0.0190598
+0.0211739
+0.0202374
+0.0183195
+0.0164698
+0.014684
+0.0129844
+0.0114311
+0.0100778
+0.00899885
+0.00809013
+0.00743646
+0.00739785
+0.007899
+0.00886983
+0.0100448
+0.0114026
+0.0128417
+0.0144088
+0.0395702
+0.0389565
+0.0384579
+0.038079
+0.0378234
+0.0376862
+0.0376589
+0.0377588
+0.037985
+0.0383353
+0.0388062
+0.0393487
+0.0397223
+0.0402119
+0.0408133
+0.0415218
+0.0423319
+0.0432347
+0.0442129
+0.045276
+0.0463995
+0.0475743
+0.0488181
+0.0501138
+0.0514293
+0.052803
+0.0517832
+0.0503096
+0.0488446
+0.0474134
+0.0460419
+0.0447356
+0.0434864
+0.0423067
+0.0411522
+0.040074
+0.0389021
+0.0377434
+0.0366688
+0.035681
+0.0344819
+0.0324976
+0.0305414
+0.0286193
+0.0267233
+0.0248536
+0.0230182
+0.0211635
+0.0193297
+0.0175642
+0.0157948
+0.013969
+0.0121997
+0.0104619
+0.00884564
+0.00725265
+0.00523794
+0.00326122
+0.00170119
+0.00114646
+0.000621
+0.000948741
+0.00127818
+0.00199852
+0.00219606
+0.00277749
+0.00333932
+0.00221733
+0.000982806
+0.000458851
+0.000391572
+0.00119246
+0.00265837
+0.00433255
+0.00621507
+0.00807358
+0.00983202
+0.0116598
+0.0135823
+0.0155408
+0.0175322
+0.0195663
+0.021631
+0.0207611
+0.0188535
+0.0170007
+0.0152378
+0.0135998
+0.0121182
+0.0108433
+0.00978251
+0.00892239
+0.00838715
+0.00835294
+0.00884471
+0.00947095
+0.0103345
+0.0115099
+0.0129166
+0.0144759
+0.0407422
+0.0401464
+0.0396627
+0.0392955
+0.0390478
+0.0389191
+0.0388926
+0.0389894
+0.0392085
+0.0395479
+0.0400046
+0.0405746
+0.0412532
+0.0419072
+0.0424847
+0.0431657
+0.0439455
+0.04481
+0.0457546
+0.0467827
+0.0478748
+0.0490287
+0.0502364
+0.0515091
+0.0528381
+0.0541761
+0.0533842
+0.0519246
+0.0504855
+0.0491021
+0.0477791
+0.0465142
+0.0453074
+0.0441536
+0.043039
+0.0419368
+0.0407489
+0.0396442
+0.0385568
+0.0371968
+0.0353513
+0.0334186
+0.0315196
+0.029661
+0.0278506
+0.0260108
+0.0241686
+0.022356
+0.0205329
+0.018697
+0.0168813
+0.015109
+0.0133716
+0.0117362
+0.00992745
+0.00790932
+0.00600394
+0.00430496
+0.00315097
+0.00233006
+0.00203138
+0.00230454
+0.00277453
+0.00405107
+0.00423353
+0.00474301
+0.00370631
+0.00194178
+0.000249458
+-0.000410825
+0.000286615
+0.0015557
+0.0032964
+0.00506139
+0.00691362
+0.00881082
+0.0107847
+0.0125924
+0.0144241
+0.0163151
+0.0182731
+0.0202788
+0.0222939
+0.0213756
+0.0195164
+0.0177329
+0.0160383
+0.014426
+0.0129207
+0.0115859
+0.0104413
+0.00963004
+0.00920735
+0.0091498
+0.00947575
+0.00997397
+0.0108267
+0.0119282
+0.0132557
+0.0147242
+0.0419958
+0.041418
+0.0409494
+0.0405938
+0.0403541
+0.0402325
+0.040207
+0.0403006
+0.0405126
+0.0408412
+0.0412836
+0.0418361
+0.0424946
+0.0432541
+0.0441094
+0.0448557
+0.0456066
+0.0464353
+0.0473474
+0.0483417
+0.0493995
+0.0505229
+0.0517088
+0.052946
+0.0542435
+0.0555971
+0.0550052
+0.0535607
+0.0521668
+0.0508292
+0.0495506
+0.0483204
+0.0471599
+0.0460216
+0.0448893
+0.0437106
+0.0421757
+0.0407009
+0.039293
+0.0379594
+0.0363321
+0.0344544
+0.0326158
+0.0308233
+0.0289637
+0.0271277
+0.0253303
+0.0234627
+0.0216413
+0.01985
+0.0180762
+0.0163482
+0.0147003
+0.0127464
+0.0108099
+0.00895432
+0.0072847
+0.00592784
+0.00495375
+0.00404255
+0.00378738
+0.00412502
+0.00457079
+0.00557661
+0.00623558
+0.00568864
+0.00364524
+0.0017706
+4.51363e-05
+-0.000484392
+0.00064676
+0.00220197
+0.00393867
+0.00551361
+0.00718425
+0.00897922
+0.0109196
+0.0129401
+0.0150018
+0.0170886
+0.0191593
+0.020649
+0.0220242
+0.0220924
+0.0202454
+0.0184736
+0.016798
+0.015214
+0.0137833
+0.0124812
+0.0113998
+0.0105866
+0.0101119
+0.00989422
+0.0100674
+0.0106961
+0.0115857
+0.0125854
+0.0138266
+0.0152212
+0.043324
+0.0427642
+0.0423105
+0.0419664
+0.0417346
+0.041617
+0.0415923
+0.0416828
+0.0418878
+0.0422057
+0.0426339
+0.0431692
+0.0438076
+0.0445448
+0.0453758
+0.0462956
+0.0472979
+0.0481055
+0.0489865
+0.0499481
+0.0509727
+0.0520622
+0.0532197
+0.0544332
+0.0556961
+0.0569917
+0.0555783
+0.0542165
+0.052686
+0.0511445
+0.0496517
+0.0482124
+0.0468313
+0.0455137
+0.0442655
+0.0430925
+0.0420011
+0.0409978
+0.0400846
+0.0388307
+0.0374155
+0.0355513
+0.0336469
+0.0317794
+0.0299557
+0.0281612
+0.0263972
+0.0246157
+0.022853
+0.0210734
+0.0193569
+0.0176174
+0.0156711
+0.0137774
+0.0119795
+0.0103343
+0.00890665
+0.00780437
+0.00673709
+0.00596385
+0.00577203
+0.00610216
+0.00650674
+0.00719512
+0.00600698
+0.00476438
+0.00308193
+0.00119116
+-0.000534241
+-0.000651421
+0.000482057
+0.00182768
+0.00373092
+0.00547463
+0.00744706
+0.00950773
+0.0114215
+0.0133664
+0.0153775
+0.0166259
+0.0177794
+0.01911
+0.0205882
+0.0221846
+0.0210121
+0.0193109
+0.017691
+0.0161633
+0.0147562
+0.0135061
+0.0124921
+0.0117534
+0.0111456
+0.0108666
+0.0110245
+0.0116015
+0.0124689
+0.0134415
+0.0146127
+0.0159536
+0.0447201
+0.044178
+0.043739
+0.0434062
+0.0431821
+0.0430685
+0.0430446
+0.0431321
+0.0433302
+0.0436376
+0.0440519
+0.0445702
+0.0451888
+0.0459038
+0.0467106
+0.0476046
+0.0485811
+0.0496351
+0.0506673
+0.0515976
+0.0525902
+0.0536468
+0.0547708
+0.055958
+0.0571957
+0.0566357
+0.0552131
+0.0538421
+0.0522474
+0.0506925
+0.0491861
+0.0477327
+0.0463373
+0.0450053
+0.0437425
+0.0425551
+0.0414496
+0.0404326
+0.0395064
+0.0386634
+0.0379283
+0.0364957
+0.0346433
+0.0328325
+0.0310432
+0.0292819
+0.0275188
+0.0258078
+0.0240961
+0.022368
+0.0205495
+0.0186399
+0.0167911
+0.0150344
+0.0133417
+0.0118083
+0.0104904
+0.00942504
+0.00862585
+0.00801163
+0.00786682
+0.0081225
+0.00714344
+0.00563399
+0.00425214
+0.00317297
+0.00184636
+0.000365186
+-0.00123806
+-0.000970549
+6.3729e-05
+0.00166074
+0.00329637
+0.00523286
+0.00725006
+0.00934571
+0.0114769
+0.013094
+0.013958
+0.015001
+0.016264
+0.0177088
+0.0192947
+0.0209896
+0.0219042
+0.0202288
+0.0186369
+0.0171773
+0.0158813
+0.0147679
+0.01381
+0.0129273
+0.0123118
+0.0120598
+0.0122023
+0.012726
+0.0132761
+0.0140682
+0.0151204
+0.0163961
+0.046178
+0.0456532
+0.0452285
+0.0449067
+0.0446902
+0.0445804
+0.0445573
+0.0446418
+0.0448333
+0.0451305
+0.0455312
+0.0460328
+0.046632
+0.0473252
+0.0481082
+0.0489767
+0.0499263
+0.0509525
+0.0520507
+0.0532164
+0.0542479
+0.0552729
+0.0563644
+0.0575187
+0.0578399
+0.0563626
+0.054933
+0.0535073
+0.0518977
+0.050332
+0.0488144
+0.0473496
+0.0459426
+0.0445988
+0.0433242
+0.042125
+0.0410078
+0.0399796
+0.0390427
+0.0381894
+0.037445
+0.0368161
+0.0357463
+0.0339624
+0.0321927
+0.0304427
+0.0287334
+0.0270212
+0.0252876
+0.0234898
+0.0215734
+0.0197141
+0.0179298
+0.0162404
+0.0146829
+0.013298
+0.012084
+0.0111716
+0.0103299
+0.0098614
+0.00967348
+0.00769876
+0.00584219
+0.00417268
+0.00270184
+0.00149489
+0.000446253
+-0.000753135
+-0.00203881
+-0.00154947
+-0.000422079
+0.00079972
+0.00285561
+0.00496099
+0.00705696
+0.00903456
+0.0105089
+0.0113635
+0.0123738
+0.0135291
+0.0149172
+0.0164805
+0.0181739
+0.0199643
+0.0218278
+0.0212746
+0.0197671
+0.0183952
+0.0171869
+0.016144
+0.0150868
+0.0142583
+0.0136952
+0.0134691
+0.0133306
+0.0134966
+0.0139831
+0.0147597
+0.0157658
+0.0169318
+0.0476919
+0.047184
+0.0467732
+0.0464621
+0.0462529
+0.0461468
+0.0461245
+0.0462061
+0.0463912
+0.0466784
+0.047066
+0.0475514
+0.0481317
+0.0488036
+0.0495632
+0.0504067
+0.0513298
+0.0523285
+0.0533984
+0.0545353
+0.0557352
+0.0569279
+0.057997
+0.0591194
+0.0576559
+0.0561738
+0.0547392
+0.053256
+0.0516386
+0.0500648
+0.0485389
+0.0470655
+0.0456497
+0.044297
+0.0430135
+0.0418054
+0.0406794
+0.0396427
+0.0386976
+0.0378366
+0.0370851
+0.03645
+0.0359374
+0.035135
+0.0333874
+0.031685
+0.0299679
+0.0282453
+0.026366
+0.0244787
+0.022646
+0.0208813
+0.0192007
+0.0176326
+0.0162094
+0.0149134
+0.0138417
+0.0129323
+0.0121762
+0.0112169
+0.00908332
+0.00698111
+0.00494454
+0.00304812
+0.00149655
+0.00029197
+-0.000637628
+-0.00180383
+-0.00279494
+-0.0022944
+-0.00149577
+0.00024035
+0.00233906
+0.00418414
+0.0061571
+0.00780442
+0.00882726
+0.0097493
+0.0109787
+0.0122736
+0.0137887
+0.0154665
+0.0172597
+0.0191357
+0.0210726
+0.0224858
+0.0210629
+0.0197751
+0.0186563
+0.0174969
+0.0164475
+0.015479
+0.0147606
+0.0142936
+0.014154
+0.0143515
+0.0148247
+0.0155294
+0.016461
+0.0175362
+0.0492568
+0.0487651
+0.0483678
+0.0480671
+0.0478648
+0.0477623
+0.0477408
+0.0478197
+0.0479985
+0.0482762
+0.048651
+0.0491208
+0.0496828
+0.0503339
+0.0510708
+0.0518898
+0.052787
+0.0537586
+0.0548006
+0.055909
+0.05708
+0.0583099
+0.0595949
+0.0590834
+0.0575547
+0.0560699
+0.0546326
+0.053094
+0.0514715
+0.0498924
+0.0483611
+0.0468821
+0.0454606
+0.0441021
+0.0428127
+0.0415988
+0.0404671
+0.0394248
+0.0384744
+0.0376082
+0.0368521
+0.0362129
+0.0356969
+0.0353095
+0.0346621
+0.0329301
+0.0311916
+0.0292875
+0.0274263
+0.0256172
+0.0238693
+0.0221987
+0.0206258
+0.0191746
+0.0178323
+0.0166607
+0.0156714
+0.0147612
+0.0132553
+0.0110932
+0.00894031
+0.00679344
+0.00468531
+0.00271141
+0.00118327
+0.000851389
+-0.000347792
+-0.00224735
+-0.00378902
+-0.00319082
+-0.00211498
+-0.000214145
+0.0015616
+0.00344089
+0.00496824
+0.00623515
+0.00730616
+0.00834841
+0.00969662
+0.0112465
+0.0129357
+0.0147111
+0.0165682
+0.0184748
+0.0204385
+0.0223996
+0.0224613
+0.02125
+0.0197955
+0.0184867
+0.0173566
+0.0164092
+0.0156875
+0.0152489
+0.0151182
+0.0152676
+0.0156685
+0.0163284
+0.0172371
+0.0182871
+0.0508679
+0.050392
+0.0500075
+0.0497168
+0.0495213
+0.0494222
+0.0494014
+0.0494776
+0.0496505
+0.0499189
+0.0502815
+0.0507362
+0.0512805
+0.0519116
+0.0526264
+0.0534215
+0.0542935
+0.0552386
+0.0562531
+0.0573335
+0.058476
+0.0596771
+0.0606357
+0.059066
+0.0575368
+0.0560515
+0.0546137
+0.0530221
+0.0513973
+0.0498159
+0.0482821
+0.0468007
+0.0453766
+0.0440156
+0.0427235
+0.041507
+0.0403727
+0.0393279
+0.0383751
+0.0375066
+0.0367484
+0.0361074
+0.0355898
+0.0352013
+0.034946
+0.0341219
+0.032242
+0.0304038
+0.0286148
+0.0268822
+0.0252209
+0.0236461
+0.0221761
+0.0208032
+0.0195643
+0.0185026
+0.017511
+0.0155984
+0.0134562
+0.0113325
+0.00923552
+0.0071775
+0.00522664
+0.00346722
+0.00238171
+0.00240017
+0.000373062
+-0.00136367
+-0.0033508
+-0.00392184
+-0.00244827
+-0.000827132
+0.000797016
+0.0022351
+0.00351729
+0.00474221
+0.00593892
+0.00721344
+0.00872031
+0.0102694
+0.0119783
+0.0138238
+0.0157525
+0.0177308
+0.019754
+0.0218095
+0.0236049
+0.0220883
+0.0206928
+0.0194397
+0.0183404
+0.0174452
+0.0167681
+0.0163585
+0.0162032
+0.0163191
+0.016698
+0.0173187
+0.018175
+0.0192221
+0.0525205
+0.0520596
+0.0516876
+0.0514063
+0.0512172
+0.0511215
+0.0511019
+0.0511756
+0.0513427
+0.0516024
+0.0519533
+0.0523934
+0.0529207
+0.0535324
+0.0542259
+0.0549979
+0.0558452
+0.0567645
+0.0577523
+0.0588051
+0.0599195
+0.0610923
+0.0606909
+0.0591231
+0.0575959
+0.0561126
+0.054677
+0.0530407
+0.0514165
+0.0498357
+0.0483025
+0.0468217
+0.0453983
+0.0440379
+0.0427466
+0.0415307
+0.0403971
+0.0393529
+0.0384004
+0.0375326
+0.0367749
+0.0361343
+0.0356172
+0.0352289
+0.0349738
+0.0348548
+0.0334032
+0.0316308
+0.0299125
+0.0282596
+0.0266842
+0.025201
+0.0238065
+0.0225197
+0.0213805
+0.0202867
+0.018169
+0.0160709
+0.0140011
+0.0119745
+0.0100116
+0.0081204
+0.00638314
+0.00501275
+0.00424266
+0.00269736
+0.000812587
+-0.000979623
+-0.00213029
+-0.00243761
+-0.00156939
+-0.000745703
+9.05055e-05
+0.00135121
+0.00250102
+0.00374591
+0.0050057
+0.00634591
+0.00775319
+0.00940809
+0.0112252
+0.0131548
+0.0151555
+0.0172026
+0.0192813
+0.0213753
+0.0233868
+0.0230609
+0.0217219
+0.0205113
+0.0194726
+0.0186347
+0.0180113
+0.0176307
+0.0174732
+0.0175807
+0.0179307
+0.0185101
+0.0193169
+0.0203238
+0.0542008
+0.0537543
+0.0533941
+0.0531219
+0.0529389
+0.0528463
+0.0528386
+0.0529099
+0.0530715
+0.0533228
+0.0536624
+0.0540886
+0.0545995
+0.0551927
+0.0558655
+0.0566152
+0.0574386
+0.0583328
+0.0592945
+0.0603204
+0.0614073
+0.0624188
+0.0608166
+0.0592521
+0.0577283
+0.0562486
+0.0548099
+0.0531496
+0.0515288
+0.0499516
+0.0484221
+0.0469438
+0.0455217
+0.0441625
+0.0428722
+0.0416572
+0.0405243
+0.0394806
+0.0385276
+0.0376627
+0.0369077
+0.0362695
+0.0357543
+0.0353675
+0.0351134
+0.0349949
+0.0346614
+0.0329554
+0.0313099
+0.0297347
+0.0282418
+0.0268314
+0.0255091
+0.0243126
+0.0225285
+0.0205534
+0.0185953
+0.0166873
+0.0148509
+0.012925
+0.0110949
+0.00941516
+0.00796548
+0.00629828
+0.00454383
+0.00287812
+0.00135996
+4.06641e-05
+-0.000465921
+-0.00079443
+-0.00085758
+-0.000186269
+0.00038031
+0.00104926
+0.0019525
+0.00311564
+0.00413299
+0.00552741
+0.00717585
+0.00892784
+0.0108236
+0.0128138
+0.0148605
+0.0169433
+0.0190427
+0.0210466
+0.0230845
+0.0241706
+0.0228966
+0.0217514
+0.0207748
+0.0199908
+0.0194027
+0.0190472
+0.018894
+0.0189935
+0.0193304
+0.0198691
+0.0206275
+0.0215665
+0.0559161
+0.0554834
+0.0551345
+0.0548709
+0.0546938
+0.0546041
+0.0546022
+0.0546769
+0.0548333
+0.0550766
+0.0554054
+0.0558183
+0.0563135
+0.0568888
+0.0575418
+0.0582699
+0.0590703
+0.0599402
+0.0608764
+0.0618761
+0.0629362
+0.0626177
+0.0610208
+0.0594616
+0.0579433
+0.0564692
+0.054987
+0.0533324
+0.0517177
+0.0501468
+0.0486223
+0.047149
+0.0457333
+0.0443806
+0.0430968
+0.0418883
+0.0407618
+0.0397243
+0.0387774
+0.0379182
+0.0371683
+0.0365347
+0.0360233
+0.0356394
+0.0353873
+0.0352697
+0.0352708
+0.0343687
+0.0327942
+0.0312938
+0.0298637
+0.0285217
+0.0266398
+0.0246421
+0.0226682
+0.0207128
+0.0187643
+0.0168753
+0.0150683
+0.0133764
+0.0118214
+0.0103143
+0.00848589
+0.00669914
+0.00499319
+0.0034399
+0.00221162
+0.00164137
+0.00115891
+0.00092164
+0.000760281
+0.000777304
+0.0011613
+0.00153315
+0.00222126
+0.00311597
+0.00399592
+0.00540578
+0.0070783
+0.00892746
+0.0108408
+0.0128329
+0.014881
+0.0169356
+0.0189155
+0.0209316
+0.0229797
+0.0250447
+0.0242128
+0.0231329
+0.0222172
+0.0214763
+0.02093
+0.0205931
+0.0204512
+0.0205431
+0.020866
+0.0213667
+0.0220737
+0.0229387
+0.0576635
+0.0572441
+0.056906
+0.0566506
+0.0564791
+0.0563923
+0.0563904
+0.0564736
+0.0566251
+0.0568606
+0.0571792
+0.0575794
+0.0580596
+0.0586178
+0.0592517
+0.0599591
+0.0607372
+0.0615835
+0.0624952
+0.0634694
+0.0645033
+0.0628924
+0.0613025
+0.0597507
+0.05824
+0.0567736
+0.0552492
+0.0536027
+0.0519964
+0.0504341
+0.0489186
+0.0474546
+0.0460482
+0.044705
+0.0434309
+0.0422319
+0.0411149
+0.0400865
+0.0391483
+0.0382974
+0.0375552
+0.0369281
+0.0364223
+0.0360427
+0.0357934
+0.0356771
+0.0356782
+0.0353681
+0.0343533
+0.0329068
+0.0309479
+0.0289181
+0.0269135
+0.0249403
+0.0230064
+0.0210446
+0.0191216
+0.0172627
+0.0154856
+0.0137978
+0.0122352
+0.0108405
+0.00922799
+0.00750015
+0.00595446
+0.00461522
+0.00378625
+0.0035116
+0.00308559
+0.00282326
+0.00288301
+0.0027804
+0.00285737
+0.00314389
+0.00359216
+0.00410262
+0.00477304
+0.00599253
+0.00753242
+0.00929141
+0.0111847
+0.0131593
+0.0151408
+0.0170759
+0.0190413
+0.0210453
+0.0230833
+0.0251398
+0.0256416
+0.0246321
+0.0237738
+0.0230745
+0.0225669
+0.0222473
+0.022116
+0.022201
+0.0225001
+0.0229758
+0.0236305
+0.0244306
+0.0594404
+0.0590336
+0.0587058
+0.0584582
+0.0582921
+0.0582079
+0.0582062
+0.0582868
+0.0584408
+0.058669
+0.0589778
+0.0593659
+0.0598318
+0.0603736
+0.0609893
+0.0616767
+0.0624334
+0.063257
+0.0641449
+0.0650944
+0.0648581
+0.0632418
+0.0616609
+0.0601184
+0.0586171
+0.0571604
+0.0555965
+0.0539607
+0.0523654
+0.0508144
+0.0493106
+0.0478585
+0.0464644
+0.0451336
+0.0438719
+0.0426854
+0.0415805
+0.0405639
+0.039637
+0.0387969
+0.0380643
+0.0374458
+0.0369471
+0.0365729
+0.0363273
+0.0362127
+0.0362138
+0.0359083
+0.0354098
+0.0333638
+0.0313373
+0.0293345
+0.0273604
+0.0254073
+0.0234329
+0.0215004
+0.0196222
+0.017815
+0.0160867
+0.0144389
+0.0129531
+0.0116413
+0.0102614
+0.00866099
+0.00731976
+0.00626644
+0.00571304
+0.00552899
+0.00512033
+0.00492501
+0.00502708
+0.00491108
+0.00487624
+0.00511213
+0.00535839
+0.00566373
+0.00617458
+0.00718802
+0.00850975
+0.0101266
+0.0118881
+0.0137535
+0.0155777
+0.0174859
+0.019415
+0.021384
+0.0233926
+0.025424
+0.0271642
+0.0262208
+0.0254001
+0.0247468
+0.0242742
+0.0239868
+0.0238651
+0.0239439
+0.0242186
+0.0246506
+0.0252659
+0.0260215
+0.061244
+0.0608493
+0.0605313
+0.0602913
+0.0601302
+0.0600486
+0.0600469
+0.0601251
+0.0602756
+0.060497
+0.0607965
+0.061173
+0.0616252
+0.0621514
+0.0627496
+0.063418
+0.0641542
+0.064956
+0.0658209
+0.0667466
+0.0652705
+0.0636646
+0.0620946
+0.0605631
+0.0590731
+0.0576279
+0.0560275
+0.0544046
+0.0528227
+0.0512856
+0.049796
+0.0483585
+0.0469792
+0.0456634
+0.0444167
+0.0432451
+0.0421549
+0.0411526
+0.0402393
+0.0394119
+0.038691
+0.0380827
+0.0375924
+0.0372247
+0.0369834
+0.0368709
+0.036872
+0.036572
+0.0358846
+0.0338673
+0.0318729
+0.0299059
+0.0279223
+0.0259542
+0.0240248
+0.022144
+0.020323
+0.0185757
+0.0169127
+0.0153539
+0.0139657
+0.0127627
+0.0115367
+0.0101337
+0.00895293
+0.00809609
+0.00766538
+0.00760607
+0.00722711
+0.00707994
+0.00708916
+0.00706724
+0.00697488
+0.00720839
+0.00730571
+0.00748647
+0.00789915
+0.00870089
+0.00981782
+0.0112548
+0.012874
+0.0145663
+0.0162998
+0.0181324
+0.0200028
+0.0219208
+0.0238787
+0.025874
+0.0278986
+0.0278652
+0.0270944
+0.0264829
+0.0260418
+0.0257754
+0.0256621
+0.0257354
+0.0259906
+0.0263956
+0.0269711
+0.0276945
+0.0630722
+0.062689
+0.0623804
+0.0621475
+0.0619912
+0.0619121
+0.0619105
+0.0619863
+0.0621335
+0.0623483
+0.062639
+0.0630045
+0.0634436
+0.0639548
+0.0645364
+0.0651864
+0.0659029
+0.0666836
+0.0675265
+0.0673806
+0.0657533
+0.0641596
+0.0626019
+0.0610831
+0.0596062
+0.0581742
+0.0565401
+0.0549323
+0.053366
+0.0518451
+0.050372
+0.0489514
+0.0475893
+0.0462909
+0.0450616
+0.0439072
+0.0428339
+0.0418477
+0.0409499
+0.0401372
+0.0394296
+0.0388329
+0.0383522
+0.0379918
+0.0377554
+0.0376452
+0.0376463
+0.0373525
+0.036485
+0.0344983
+0.032494
+0.0305154
+0.0285633
+0.0266427
+0.0247669
+0.022947
+0.0211946
+0.0195288
+0.0179525
+0.0165035
+0.015185
+0.0140696
+0.0130409
+0.0117853
+0.0107779
+0.01006
+0.00970415
+0.00966169
+0.00932805
+0.00920066
+0.00918953
+0.00923966
+0.00906927
+0.00928291
+0.00929381
+0.00944203
+0.00979103
+0.0104309
+0.0113962
+0.0126552
+0.014111
+0.0156459
+0.0172713
+0.0189994
+0.0207803
+0.0226326
+0.0245337
+0.0264797
+0.0284612
+0.0295806
+0.0288556
+0.0282822
+0.0278696
+0.0276209
+0.0275152
+0.0275836
+0.0278218
+0.0282028
+0.0287421
+0.0294222
+0.0649229
+0.0645506
+0.064251
+0.0640249
+0.0638732
+0.0637964
+0.0637948
+0.0638684
+0.0640125
+0.064221
+0.0645032
+0.0648583
+0.0652849
+0.0657818
+0.0663473
+0.0669798
+0.0676773
+0.0684378
+0.0692593
+0.0679191
+0.0663051
+0.0647249
+0.0631812
+0.0616767
+0.0602143
+0.0587614
+0.0571321
+0.0555415
+0.0539929
+0.0524901
+0.0510356
+0.0496341
+0.0482912
+0.0470122
+0.0458022
+0.044667
+0.0436124
+0.0426443
+0.0417563
+0.0409594
+0.040266
+0.0396816
+0.0392111
+0.0388585
+0.0386272
+0.0385192
+0.0385224
+0.0382428
+0.0371353
+0.0351448
+0.0331796
+0.0312444
+0.0293409
+0.0274746
+0.0256598
+0.0239079
+0.0222314
+0.0206494
+0.0191643
+0.0178037
+0.0165944
+0.0155696
+0.0146466
+0.0135667
+0.0127018
+0.0120921
+0.0117975
+0.0117475
+0.0114626
+0.0113357
+0.011324
+0.0113558
+0.0112006
+0.0113569
+0.0113463
+0.0114566
+0.0117506
+0.0122897
+0.0131179
+0.0142252
+0.0155056
+0.0169165
+0.0184515
+0.0200571
+0.0217516
+0.0235275
+0.0253616
+0.0272485
+0.0291779
+0.0311419
+0.0306722
+0.0301334
+0.0297465
+0.0295136
+0.0294148
+0.0294788
+0.0297018
+0.030061
+0.0305532
+0.0311761
+0.0667941
+0.0664323
+0.0661412
+0.0659216
+0.0657743
+0.0656997
+0.0656981
+0.0657696
+0.0659107
+0.0661132
+0.0663874
+0.0667324
+0.0671472
+0.0676304
+0.0681806
+0.0687962
+0.0694754
+0.0702165
+0.0701549
+0.0685235
+0.066924
+0.0653588
+0.0638304
+0.0623416
+0.0608952
+0.0594121
+0.0578012
+0.0562295
+0.0547004
+0.0532175
+0.0517835
+0.0504028
+0.049081
+0.047823
+0.0466341
+0.0455196
+0.0444852
+0.0435222
+0.0426458
+0.0418658
+0.0411877
+0.0406166
+0.040157
+0.0398128
+0.039587
+0.0394817
+0.0394849
+0.0392352
+0.0378636
+0.0359135
+0.0339928
+0.0321038
+0.0302494
+0.0284428
+0.0266938
+0.0250145
+0.0234153
+0.0219062
+0.020495
+0.0192304
+0.0181411
+0.0172047
+0.0163884
+0.0154308
+0.0146955
+0.0141714
+0.0139208
+0.0138557
+0.0136151
+0.0134885
+0.0134764
+0.0134816
+0.0133511
+0.01345
+0.0134425
+0.0135252
+0.0137627
+0.0142256
+0.0149616
+0.0159413
+0.0170682
+0.0183595
+0.0197834
+0.0212883
+0.0228918
+0.0245855
+0.0263461
+0.0281672
+0.0300376
+0.0319487
+0.0325349
+0.0320274
+0.0316637
+0.0314451
+0.0313523
+0.0314124
+0.0316217
+0.0319456
+0.0323941
+0.0329823
+0.0686842
+0.0683324
+0.0680494
+0.067836
+0.0676928
+0.0676204
+0.0676189
+0.0676883
+0.0678266
+0.0680234
+0.0682899
+0.0686253
+0.0690287
+0.0694988
+0.0700344
+0.0706338
+0.0712955
+0.0720179
+0.070808
+0.069192
+0.0676083
+0.0660593
+0.0645475
+0.0630756
+0.0616464
+0.0601356
+0.0585446
+0.0569934
+0.0554854
+0.0540241
+0.0526121
+0.0512536
+0.0499543
+0.048719
+0.0475525
+0.0464598
+0.0454309
+0.0444843
+0.0436272
+0.0428651
+0.0422031
+0.0416459
+0.0411978
+0.0408623
+0.0406424
+0.0405398
+0.0405431
+0.0403224
+0.0387024
+0.0367936
+0.0349134
+0.0330714
+0.0312744
+0.0295306
+0.02785
+0.0262375
+0.0247111
+0.0232856
+0.0219632
+0.0207881
+0.0197854
+0.0189305
+0.0182106
+0.0173714
+0.0167337
+0.01628
+0.0160623
+0.0159862
+0.015778
+0.0156519
+0.0156394
+0.0156253
+0.0155129
+0.015569
+0.0155607
+0.0156205
+0.0158147
+0.0162186
+0.0168883
+0.0177622
+0.018757
+0.0199392
+0.0212576
+0.0226649
+0.0241773
+0.0257867
+0.0274704
+0.0292215
+0.0310284
+0.032882
+0.0344362
+0.0339572
+0.0336143
+0.0333928
+0.0333054
+0.0333512
+0.0335234
+0.0338368
+0.0342762
+0.0348326
+0.0705916
+0.0702494
+0.0699742
+0.0697667
+0.0696275
+0.0695571
+0.0695556
+0.0696231
+0.0697585
+0.06995
+0.0702092
+0.0705355
+0.070928
+0.0713856
+0.0719071
+0.0724911
+0.073136
+0.0731524
+0.0715222
+0.0699227
+0.068356
+0.0668243
+0.0653303
+0.0638764
+0.0624655
+0.0609293
+0.0593596
+0.0578303
+0.0563446
+0.0549062
+0.0535175
+0.0521826
+0.0509071
+0.0496954
+0.0485511
+0.0474652
+0.0464568
+0.0455315
+0.0446946
+0.043951
+0.0433055
+0.0427627
+0.0423264
+0.042
+0.0417861
+0.0416863
+0.0416897
+0.0414888
+0.039634
+0.0377681
+0.0359389
+0.0341523
+0.0324153
+0.0307358
+0.0291158
+0.0275747
+0.0261266
+0.0247821
+0.0235439
+0.0224517
+0.021514
+0.0207339
+0.0200733
+0.0193654
+0.0187798
+0.0183893
+0.0182154
+0.018131
+0.0179463
+0.017822
+0.0178091
+0.0177805
+0.0176818
+0.0177054
+0.0176894
+0.0177325
+0.0178991
+0.018257
+0.018862
+0.0196412
+0.0205408
+0.0216257
+0.0228471
+0.024162
+0.025586
+0.0271119
+0.0287181
+0.0303973
+0.0321382
+0.0339313
+0.0357669
+0.0358809
+0.0355305
+0.0353127
+0.0352301
+0.0352742
+0.035437
+0.0357337
+0.0361606
+0.0366896
+0.0725151
+0.072182
+0.0719142
+0.0717123
+0.0715769
+0.0715084
+0.0715069
+0.0715726
+0.071705
+0.0718917
+0.0721439
+0.0724615
+0.0728437
+0.0732893
+0.0737973
+0.0743665
+0.0749953
+0.0739089
+0.0722958
+0.0707138
+0.069165
+0.0676517
+0.0661763
+0.0647414
+0.0633498
+0.0617789
+0.0602313
+0.0587247
+0.0572623
+0.0558475
+0.0544841
+0.053176
+0.0519274
+0.0507427
+0.0496097
+0.0485471
+0.0475616
+0.0466582
+0.0458418
+0.0451171
+0.0444886
+0.0439604
+0.0435361
+0.0432189
+0.043011
+0.042914
+0.0429175
+0.0425104
+0.0406585
+0.0388419
+0.0370657
+0.0353361
+0.0336573
+0.0320352
+0.0304842
+0.0290159
+0.0276434
+0.0263742
+0.0252132
+0.0241951
+0.0233099
+0.0225918
+0.0219965
+0.0213933
+0.0208554
+0.0205066
+0.0203749
+0.0202849
+0.0201074
+0.0199965
+0.0199729
+0.0199434
+0.0198554
+0.0198537
+0.01983
+0.019861
+0.0200062
+0.020327
+0.0208681
+0.0215748
+0.0223969
+0.0233959
+0.0245294
+0.0257548
+0.0270952
+0.0285411
+0.0300737
+0.0316812
+0.0333551
+0.0350861
+0.0368643
+0.0378014
+0.037469
+0.0372626
+0.0371843
+0.0372268
+0.0373811
+0.0376625
+0.038068
+0.0385767
+0.0744534
+0.074129
+0.0738682
+0.0736717
+0.0735399
+0.0734732
+0.0734718
+0.0735357
+0.0736647
+0.0738473
+0.0740929
+0.0744022
+0.0747744
+0.0752086
+0.0757038
+0.0762587
+0.0763467
+0.074722
+0.0731269
+0.0715632
+0.0700332
+0.0685391
+0.0670832
+0.0656681
+0.0642533
+0.0626902
+0.0611657
+0.0596827
+0.0582443
+0.056854
+0.0555153
+0.0542321
+0.0530084
+0.0518484
+0.0507405
+0.0497019
+0.0487398
+0.0478587
+0.0470632
+0.0463576
+0.0457461
+0.0452326
+0.0448203
+0.0445122
+0.0443104
+0.0442163
+0.0442198
+0.0435774
+0.0417729
+0.0400069
+0.0382848
+0.0366078
+0.0349853
+0.0334277
+0.0319444
+0.0305464
+0.0292441
+0.0280308
+0.0269412
+0.0259909
+0.0251684
+0.0245049
+0.0239657
+0.0234422
+0.0229523
+0.0226379
+0.0225187
+0.0224429
+0.0222743
+0.0221742
+0.0221371
+0.0221101
+0.0220309
+0.0220103
+0.0219805
+0.0219999
+0.0221296
+0.0224201
+0.022908
+0.0235535
+0.0243088
+0.0252322
+0.0262754
+0.0274266
+0.0286891
+0.0300583
+0.0315205
+0.0330605
+0.0346679
+0.0363364
+0.0380562
+0.0397499
+0.0394339
+0.0392378
+0.0391635
+0.0392046
+0.0393512
+0.0396185
+0.0400043
+0.0404945
+0.0764053
+0.0760892
+0.0758352
+0.0756437
+0.0755154
+0.0754505
+0.0754491
+0.0755113
+0.075637
+0.0758158
+0.0760551
+0.0763564
+0.0767192
+0.0771424
+0.0776253
+0.0781665
+0.0771964
+0.0755899
+0.0740135
+0.072469
+0.0709585
+0.0694842
+0.0680486
+0.066654
+0.0652037
+0.063664
+0.0621633
+0.0607047
+0.0592911
+0.0579259
+0.0566126
+0.0553548
+0.0541565
+0.0530217
+0.051939
+0.0509249
+0.0499864
+0.0491276
+0.0483529
+0.0476664
+0.047072
+0.0465731
+0.0461728
+0.0458738
+0.045678
+0.0455867
+0.0455902
+0.0447264
+0.0429701
+0.0412552
+0.0395808
+0.037959
+0.0363968
+0.0349022
+0.0334844
+0.0321534
+0.0309021
+0.0297564
+0.0287324
+0.0278433
+0.0270766
+0.026461
+0.0259704
+0.0255147
+0.0250653
+0.0247796
+0.0246707
+0.0246054
+0.0244454
+0.0243543
+0.0243059
+0.0242787
+0.0242067
+0.0241731
+0.0241382
+0.0241414
+0.0242614
+0.0245301
+0.0249735
+0.0255618
+0.0262634
+0.027109
+0.0280785
+0.0291672
+0.0303574
+0.0316546
+0.0330462
+0.0345208
+0.0360661
+0.0376727
+0.0393341
+0.0410404
+0.0414215
+0.0412348
+0.0411641
+0.0412039
+0.0413434
+0.041598
+0.0419655
+0.0424386
+0.0783698
+0.0780617
+0.0778141
+0.0776275
+0.0775025
+0.0774392
+0.0774379
+0.0774985
+0.0776209
+0.0777962
+0.0780294
+0.0783231
+0.0786768
+0.0790896
+0.0795606
+0.0797143
+0.0780982
+0.0765107
+0.0749536
+0.0734289
+0.0719385
+0.0704848
+0.0690699
+0.0676964
+0.0662129
+0.0646972
+0.0632212
+0.0617875
+0.0603993
+0.0590597
+0.0577721
+0.0565402
+0.0553675
+0.054258
+0.0532008
+0.0522112
+0.0512962
+0.0504597
+0.0497058
+0.0490383
+0.0484606
+0.0479762
+0.0475877
+0.0472976
+0.0471077
+0.0470193
+0.0470228
+0.0459511
+0.0442414
+0.0425717
+0.0409511
+0.0393858
+0.0378824
+0.0364488
+0.0350935
+0.0338135
+0.032623
+0.0315399
+0.0305756
+0.0297417
+0.0290236
+0.0284448
+0.0279981
+0.0275884
+0.0271906
+0.0269292
+0.026829
+0.0267725
+0.0266197
+0.0265361
+0.0264784
+0.0264507
+0.0263846
+0.0263352
+0.0263014
+0.026291
+0.0264029
+0.0266532
+0.0270586
+0.0275913
+0.0282446
+0.0290259
+0.0299333
+0.030965
+0.0320886
+0.0333184
+0.0346433
+0.0360526
+0.037537
+0.0390861
+0.0406899
+0.0423416
+0.0434286
+0.0432506
+0.0431832
+0.0432218
+0.0433548
+0.0435976
+0.0439484
+0.0444045
+0.080346
+0.0800455
+0.0798041
+0.0796222
+0.0795003
+0.0794386
+0.0794373
+0.0794964
+0.0796158
+0.0797876
+0.080015
+0.0803015
+0.0806465
+0.0810492
+0.0815089
+0.0806475
+0.0790505
+0.0774825
+0.0759453
+0.0744409
+0.0729712
+0.0715385
+0.0701448
+0.0687923
+0.0672784
+0.0657873
+0.0643362
+0.0629279
+0.0615654
+0.0602518
+0.0589903
+0.0577843
+0.0566374
+0.0555532
+0.0545214
+0.0535563
+0.0526646
+0.0518502
+0.0511169
+0.050468
+0.0499069
+0.0494366
+0.0490597
+0.0487784
+0.0485943
+0.0485085
+0.0485121
+0.047242
+0.0455769
+0.043958
+0.0423904
+0.0408802
+0.0394339
+0.0380588
+0.0367555
+0.0355285
+0.0343973
+0.0333719
+0.0324621
+0.0316721
+0.0309922
+0.0304501
+0.0300332
+0.0296652
+0.0293255
+0.0290849
+0.0289921
+0.0289431
+0.0287965
+0.0287192
+0.0286536
+0.0286255
+0.0285644
+0.0284962
+0.0284688
+0.0284468
+0.0285518
+0.0287864
+0.0291593
+0.0296436
+0.0302538
+0.030979
+0.0318309
+0.0328071
+0.033873
+0.0350403
+0.0363023
+0.0376497
+0.0390734
+0.0405656
+0.042116
+0.0437139
+0.0453612
+0.0452826
+0.0452183
+0.0452557
+0.0453828
+0.0456148
+0.0459502
+0.0463868
+0.0823331
+0.0820399
+0.0818043
+0.0816269
+0.081508
+0.0814478
+0.0814465
+0.0815042
+0.0816206
+0.0817892
+0.082011
+0.0822905
+0.0826272
+0.0830204
+0.083234
+0.0816288
+0.0800514
+0.0785034
+0.0769866
+0.075503
+0.0740541
+0.0726423
+0.0712699
+0.0699016
+0.0683975
+0.0669313
+0.0655055
+0.064123
+0.0627864
+0.0614988
+0.0602634
+0.0590834
+0.0579622
+0.0569033
+0.0558967
+0.0549558
+0.0540872
+0.0532946
+0.0525813
+0.0519507
+0.0514058
+0.0509493
+0.0505837
+0.0503109
+0.0501324
+0.0500493
+0.0500529
+0.0485938
+0.0469767
+0.0454076
+0.0438919
+0.0424351
+0.0410437
+0.0397211
+0.038464
+0.0372933
+0.0362173
+0.0352448
+0.0343846
+0.0336283
+0.0329887
+0.0324793
+0.0320887
+0.0317548
+0.0314681
+0.0312454
+0.0311591
+0.0311166
+0.0309753
+0.0309035
+0.0308311
+0.0308026
+0.0307458
+0.0306614
+0.0306313
+0.0306076
+0.0307067
+0.0309273
+0.0312631
+0.0317144
+0.0322866
+0.0329621
+0.0337639
+0.0346858
+0.0357027
+0.036812
+0.0380153
+0.039304
+0.0406698
+0.0421055
+0.0436039
+0.0451508
+0.0467476
+0.0473288
+0.0472672
+0.0473037
+0.0474253
+0.0476473
+0.0479686
+0.0483869
+0.0843302
+0.084044
+0.0838141
+0.0836409
+0.0835248
+0.0834661
+0.0834649
+0.0835212
+0.0836348
+0.0838002
+0.0840167
+0.0842896
+0.0846184
+0.0850023
+0.0842422
+0.0826566
+0.0810991
+0.0795714
+0.078075
+0.0766121
+0.0751845
+0.0737943
+0.0724437
+0.0710469
+0.0695675
+0.0681265
+0.0667263
+0.0653696
+0.064059
+0.0627976
+0.0615882
+0.0604341
+0.0593384
+0.0583045
+0.0573228
+0.0564056
+0.0555597
+0.0547884
+0.0540948
+0.0534821
+0.0529529
+0.0525099
+0.0521553
+0.0518907
+0.0517177
+0.0516371
+0.0516203
+0.0500051
+0.0484351
+0.0469148
+0.0454494
+0.0440442
+0.0427051
+0.0414232
+0.0402193
+0.0391012
+0.0380763
+0.0371526
+0.0363367
+0.0356119
+0.0350085
+0.0345281
+0.034161
+0.0338572
+0.0336169
+0.0334099
+0.0333292
+0.0332922
+0.0331556
+0.0330885
+0.0330103
+0.0329815
+0.0329285
+0.0328299
+0.0327959
+0.0327724
+0.0328649
+0.0330724
+0.0333773
+0.0338003
+0.0343354
+0.0349689
+0.0357257
+0.0365982
+0.037571
+0.0386267
+0.0397752
+0.0410085
+0.0423195
+0.0437009
+0.0451465
+0.0466464
+0.0481936
+0.0493874
+0.0493284
+0.0493639
+0.0494804
+0.0496933
+0.0500014
+0.0504028
+0.0863368
+0.0860572
+0.0858327
+0.0856636
+0.0855503
+0.085493
+0.0854918
+0.0855467
+0.0856576
+0.0858201
+0.0860315
+0.086298
+0.0866191
+0.0868874
+0.0852947
+0.0837287
+0.0821913
+0.080684
+0.0792086
+0.077767
+0.076361
+0.0749927
+0.0736641
+0.0722404
+0.0707861
+0.0693704
+0.0679958
+0.0666649
+0.0653803
+0.0641448
+0.0629614
+0.0618329
+0.0607625
+0.0597457
+0.0587849
+0.057891
+0.0570673
+0.0563167
+0.0556424
+0.055047
+0.0545332
+0.0541033
+0.0537593
+0.0535029
+0.0533353
+0.0532573
+0.0530415
+0.0514709
+0.049947
+0.0484742
+0.0470573
+0.0457016
+0.0444014
+0.0431694
+0.0420155
+0.0409465
+0.039969
+0.03909
+0.038306
+0.0376184
+0.0370477
+0.0365935
+0.0362473
+0.0359702
+0.0357708
+0.0355772
+0.0355015
+0.0354698
+0.0353373
+0.0352743
+0.0351909
+0.0351618
+0.0351121
+0.0350012
+0.0349638
+0.0349404
+0.0350245
+0.0352232
+0.0355007
+0.0358988
+0.0363933
+0.0369916
+0.0377079
+0.0385355
+0.0394676
+0.0404787
+0.041576
+0.0427575
+0.0440163
+0.0453461
+0.0467408
+0.0481943
+0.0496942
+0.051243
+0.0514003
+0.0514349
+0.0515467
+0.0517511
+0.052047
+0.0524328
+0.0883521
+0.0880789
+0.0878595
+0.0876944
+0.0875837
+0.0875277
+0.0875265
+0.0875802
+0.0876885
+0.0878481
+0.0880546
+0.088315
+0.0886289
+0.0879624
+0.0863892
+0.0848434
+0.0833265
+0.0818401
+0.080386
+0.0789659
+0.0775816
+0.0762351
+0.0749286
+0.0734779
+0.0720485
+0.0706581
+0.0693091
+0.0680039
+0.0667451
+0.0655354
+0.0643775
+0.0632742
+0.0622257
+0.0612254
+0.0602881
+0.0594169
+0.0586146
+0.0578842
+0.0572283
+0.0566496
+0.0561505
+0.0557331
+0.0553992
+0.0551504
+0.0549878
+0.0549121
+0.0545137
+0.0529868
+0.0515077
+0.0500809
+0.0487107
+0.0473949
+0.0461389
+0.0449545
+0.0438476
+0.0428243
+0.0418907
+0.0410528
+0.0402975
+0.0396444
+0.0391033
+0.0386726
+0.0383452
+0.0380919
+0.037915
+0.0377453
+0.0376739
+0.0376489
+0.0375199
+0.0374606
+0.0373727
+0.0373433
+0.0372923
+0.0371748
+0.0371343
+0.037111
+0.0371874
+0.0373786
+0.0376319
+0.0380073
+0.0384656
+0.0390322
+0.0397116
+0.0404983
+0.0413862
+0.0423629
+0.0434127
+0.0445454
+0.0457551
+0.0470358
+0.0483818
+0.0497878
+0.0512445
+0.0527478
+0.0534816
+0.0535154
+0.0536229
+0.0538194
+0.054104
+0.0544752
+0.0875826
+0.0861167
+0.0846629
+0.0832415
+0.0818356
+0.0804252
+0.0790502
+0.0776675
+0.0762806
+0.0749321
+0.0736241
+0.0722926
+0.0709636
+0.0696782
+0.0684046
+0.0671638
+0.0658816
+0.0646264
+0.063422
+0.0622633
+0.0611543
+0.0600607
+0.0589543
+0.0578966
+0.0568931
+0.0559574
+0.0550929
+0.0542502
+0.0532897
+0.0523708
+0.051523
+0.0507403
+0.0499719
+0.0492889
+0.0486655
+0.0480909
+0.0476058
+0.0469141
+0.0461226
+0.0453978
+0.0447527
+0.0441827
+0.0436971
+0.043317
+0.0430451
+0.0428836
+0.0427977
+0.0427947
+0.0429038
+0.0431199
+0.0434283
+0.043844
+0.0443642
+0.0449266
+0.0455841
+0.0463359
+0.0471776
+0.0481043
+0.0491114
+0.0501815
+0.0513194
+0.0509786
+0.0498732
+0.048841
+0.0478868
+0.0470155
+0.0462316
+0.0455341
+0.0449274
+0.0444206
+0.0440171
+0.0437198
+0.0435308
+0.0434516
+0.0434828
+0.0436178
+0.043847
+0.0441838
+0.0446256
+0.0451601
+0.045793
+0.0464022
+0.046995
+0.0476811
+0.0484567
+0.0493174
+0.0502589
+0.0512735
+0.0523553
+0.053505
+0.0547182
+0.0559909
+0.0573191
+0.058699
+0.0601271
+0.0616
+0.0631146
+0.064668
+0.0662573
+0.0678802
+0.0859337
+0.0845034
+0.0830315
+0.0815816
+0.0801654
+0.078753
+0.0773483
+0.0759808
+0.0745901
+0.0732105
+0.0718712
+0.0705745
+0.0692238
+0.0679054
+0.0666224
+0.0653624
+0.0641156
+0.0628293
+0.0615898
+0.0604042
+0.0592625
+0.0581662
+0.05706
+0.0559799
+0.0549414
+0.0539718
+0.0530751
+0.0522509
+0.0513298
+0.0503752
+0.0494991
+0.04869
+0.0479142
+0.0472015
+0.0465723
+0.0459718
+0.0454651
+0.0448983
+0.0440706
+0.0433275
+0.0426511
+0.0420645
+0.0415554
+0.0411555
+0.0408693
+0.0406991
+0.0406127
+0.0406096
+0.0407245
+0.0409512
+0.0412757
+0.041713
+0.0422478
+0.0428344
+0.0435235
+0.0443103
+0.0451897
+0.0461564
+0.0471994
+0.0483082
+0.0494892
+0.0491358
+0.0479879
+0.0469143
+0.0459201
+0.0450107
+0.0441912
+0.0434648
+0.0428288
+0.0422969
+0.0418729
+0.0415603
+0.0413614
+0.0412781
+0.0413109
+0.0414514
+0.0416925
+0.0420466
+0.0425084
+0.043069
+0.0437322
+0.044291
+0.0449116
+0.0456291
+0.0464389
+0.0473363
+0.0483165
+0.0493665
+0.0504891
+0.0516803
+0.0529354
+0.05425
+0.0556198
+0.0570408
+0.0585094
+0.060022
+0.0615754
+0.0631666
+0.0647928
+0.0663102
+0.0843084
+0.082854
+0.0814238
+0.0799473
+0.0785016
+0.077091
+0.0756715
+0.0742732
+0.0729139
+0.0715145
+0.0701429
+0.0688136
+0.0675064
+0.0661577
+0.064851
+0.0635704
+0.0623257
+0.0610578
+0.0597816
+0.0585596
+0.057392
+0.0562723
+0.0551876
+0.0540702
+0.0530083
+0.0520028
+0.0510715
+0.0502185
+0.0493662
+0.0483965
+0.047484
+0.0466473
+0.0458689
+0.0451238
+0.0444743
+0.0438595
+0.0433294
+0.0428954
+0.0420326
+0.0412637
+0.0405589
+0.0399482
+0.0394191
+0.0389973
+0.0386951
+0.0385153
+0.0384284
+0.0384251
+0.0385465
+0.0387849
+0.0391275
+0.0395884
+0.0401355
+0.0407525
+0.0414762
+0.0423011
+0.0432214
+0.0442312
+0.0453088
+0.0464628
+0.0476895
+0.0473226
+0.0461296
+0.0450117
+0.0439745
+0.043024
+0.0421659
+0.0414061
+0.04074
+0.0401804
+0.0397338
+0.0394042
+0.0391944
+0.0391064
+0.0391411
+0.0392877
+0.039542
+0.0399151
+0.0403989
+0.0409883
+0.0416419
+0.0421879
+0.042839
+0.0435906
+0.0444375
+0.0453746
+0.046392
+0.0474839
+0.0486501
+0.0498852
+0.0511843
+0.0525427
+0.0539558
+0.0554196
+0.05693
+0.0584835
+0.0600767
+0.0617066
+0.0633702
+0.0647759
+0.0827091
+0.0812261
+0.0797756
+0.0783384
+0.0768642
+0.075423
+0.0740186
+0.0725915
+0.0712001
+0.0698461
+0.068441
+0.067078
+0.0657598
+0.0644368
+0.0630948
+0.0618009
+0.0605231
+0.0592821
+0.0579999
+0.0567394
+0.0555369
+0.0543872
+0.0532863
+0.0521825
+0.0510934
+0.0500522
+0.0490838
+0.0481957
+0.0473634
+0.0464369
+0.0454851
+0.0446186
+0.0438276
+0.0430574
+0.0423762
+0.0417553
+0.0411995
+0.0407501
+0.0400107
+0.0392022
+0.0384776
+0.0378401
+0.0372891
+0.0368429
+0.0365229
+0.0363324
+0.0362448
+0.0362414
+0.0363701
+0.0366216
+0.0369841
+0.0374715
+0.0380321
+0.0386827
+0.0394444
+0.0403109
+0.0412756
+0.0423236
+0.0434464
+0.0446485
+0.0459237
+0.0455426
+0.0443017
+0.0431364
+0.042053
+0.041058
+0.040158
+0.0393595
+0.0386624
+0.0380722
+0.0376007
+0.0372522
+0.0370302
+0.0369371
+0.0369737
+0.0371272
+0.0373962
+0.0377905
+0.0382984
+0.0389197
+0.0395193
+0.0400941
+0.0407786
+0.0415675
+0.0424549
+0.0434346
+0.0444915
+0.0456289
+0.0468413
+0.0481228
+0.0494683
+0.0508725
+0.0523308
+0.0538387
+0.0553922
+0.0569877
+0.0586215
+0.0602907
+0.0619924
+0.0632802
+0.0811231
+0.0796252
+0.078145
+0.0766976
+0.075254
+0.0737824
+0.0723461
+0.0709376
+0.0695131
+0.0681293
+0.0667677
+0.0653698
+0.0640164
+0.0627103
+0.0613664
+0.0600354
+0.0587469
+0.0574813
+0.0562332
+0.0549464
+0.0537037
+0.0525229
+0.0513934
+0.0503056
+0.049189
+0.0481222
+0.0471142
+0.0461882
+0.0453493
+0.0444855
+0.0435046
+0.0426
+0.0417769
+0.0410039
+0.040288
+0.0396605
+0.0390763
+0.0386022
+0.0380069
+0.0371555
+0.0364093
+0.0357362
+0.0351665
+0.0346931
+0.034353
+0.0341504
+0.0340622
+0.0340585
+0.0341955
+0.0344617
+0.0348467
+0.0353635
+0.0359391
+0.0366269
+0.0374304
+0.0383425
+0.0393551
+0.0404423
+0.0416159
+0.0428694
+0.044196
+0.043664
+0.0425081
+0.0412922
+0.0401591
+0.039116
+0.0381702
+0.0373292
+0.036598
+0.035974
+0.0354745
+0.0351049
+0.0348693
+0.0347704
+0.0348093
+0.0349704
+0.0352558
+0.0356738
+0.0362087
+0.0368651
+0.0374044
+0.0380113
+0.0387326
+0.0395623
+0.0404937
+0.0415145
+0.0426188
+0.0438049
+0.0450663
+0.046397
+0.047791
+0.0492431
+0.0507482
+0.0523018
+0.0538996
+0.055538
+0.0572133
+0.0589224
+0.0605408
+0.061826
+0.0795086
+0.0780453
+0.0765423
+0.0750653
+0.0736194
+0.0721704
+0.070702
+0.0692712
+0.0678549
+0.0664365
+0.065061
+0.0636911
+0.0623012
+0.0609584
+0.0596568
+0.0582987
+0.0569802
+0.0556942
+0.0544457
+0.0531831
+0.0518982
+0.0506754
+0.0495163
+0.0484103
+0.0473095
+0.0462093
+0.045165
+0.0441982
+0.0433207
+0.0424785
+0.0415453
+0.040597
+0.0397412
+0.0389653
+0.0382112
+0.0375699
+0.0369597
+0.0364594
+0.0360019
+0.0351261
+0.0343424
+0.033642
+0.0330444
+0.0325487
+0.032186
+0.0319697
+0.0318807
+0.0318768
+0.032023
+0.032306
+0.0327164
+0.0332578
+0.0338585
+0.0345877
+0.0354375
+0.0363995
+0.0374536
+0.0385938
+0.0398219
+0.0411301
+0.042511
+0.041736
+0.0407534
+0.0394835
+0.0382969
+0.0372016
+0.0362059
+0.0353181
+0.0345466
+0.0338874
+0.0333568
+0.0329634
+0.0327124
+0.0326069
+0.0326484
+0.0328181
+0.0331221
+0.0335648
+0.0341316
+0.0347828
+0.0352989
+0.0359413
+0.0367033
+0.0375779
+0.0385566
+0.0396223
+0.0407779
+0.042016
+0.0433295
+0.0447119
+0.0461568
+0.0476587
+0.0492123
+0.0508129
+0.0524561
+0.0541381
+0.0558554
+0.0576048
+0.0591004
+0.0604073
+0.0779222
+0.0764285
+0.0749667
+0.0734608
+0.0719872
+0.070543
+0.069088
+0.0676232
+0.0661983
+0.0647737
+0.0633621
+0.0619957
+0.0606168
+0.0592358
+0.0579048
+0.0565855
+0.0552343
+0.0539299
+0.0526468
+0.0514049
+0.0501234
+0.0488563
+0.0476562
+0.0465186
+0.0454265
+0.0443117
+0.0432389
+0.042228
+0.0413086
+0.0404871
+0.0396091
+0.0386144
+0.0377197
+0.0369139
+0.0361479
+0.0354694
+0.034852
+0.0343227
+0.0339237
+0.0331173
+0.0322848
+0.0315608
+0.0309315
+0.0304109
+0.0300224
+0.0297903
+0.0296998
+0.0296963
+0.0298533
+0.0301553
+0.0305945
+0.0311522
+0.0317926
+0.0325681
+0.0334693
+0.0344842
+0.0355847
+0.0367828
+0.0380694
+0.0394358
+0.0407561
+0.0398279
+0.0389755
+0.0377153
+0.0364712
+0.0353193
+0.0342689
+0.0333296
+0.0325109
+0.0318149
+0.031249
+0.0308288
+0.0305602
+0.0304473
+0.0304917
+0.0306712
+0.0309963
+0.0314657
+0.0320696
+0.0326552
+0.0332043
+0.0338864
+0.0346937
+0.0356176
+0.0366426
+0.0377623
+0.0389731
+0.0402667
+0.0416355
+0.0430723
+0.0445704
+0.046124
+0.0477276
+0.0493763
+0.0510658
+0.0527921
+0.0545518
+0.0563417
+0.057699
+0.0590313
+0.0763523
+0.074841
+0.07335
+0.0718856
+0.0703807
+0.0689109
+0.0674685
+0.0660068
+0.0645463
+0.063128
+0.0616941
+0.06029
+0.0589339
+0.057545
+0.0561739
+0.0548561
+0.0535173
+0.052174
+0.0508786
+0.0496057
+0.0483561
+0.0470688
+0.0458219
+0.0446477
+0.0435349
+0.0424422
+0.0413287
+0.0402806
+0.0393157
+0.0384516
+0.0375971
+0.0366555
+0.0357117
+0.0348696
+0.0341005
+0.0333804
+0.0327552
+0.0321932
+0.0317675
+0.03111
+0.030246
+0.0294954
+0.0288275
+0.0282812
+0.027863
+0.0276128
+0.0275167
+0.0275175
+0.0276868
+0.0280107
+0.0284831
+0.0290591
+0.0297447
+0.0305722
+0.0315304
+0.0325923
+0.0337545
+0.0350153
+0.0363644
+0.0377925
+0.0389171
+0.0379478
+0.0370625
+0.0359935
+0.0346878
+0.0334746
+0.0323644
+0.031368
+0.0304968
+0.0297592
+0.0291535
+0.0287027
+0.028414
+0.0282925
+0.0283403
+0.028531
+0.0288802
+0.02938
+0.0300259
+0.0305364
+0.031123
+0.0318497
+0.0327073
+0.0336832
+0.0347613
+0.0359397
+0.0372098
+0.0385626
+0.0399898
+0.0414836
+0.0430371
+0.044644
+0.0462989
+0.0479967
+0.0497331
+0.0515041
+0.0533063
+0.0550319
+0.056342
+0.0577056
+0.0747935
+0.0732698
+0.0717612
+0.0702723
+0.068806
+0.0673023
+0.0658353
+0.0643964
+0.0629271
+0.0614715
+0.0600597
+0.0586165
+0.0572207
+0.0558761
+0.0544761
+0.0531162
+0.0518132
+0.050452
+0.0491183
+0.0478254
+0.0465721
+0.0453134
+0.0440202
+0.0427967
+0.0416493
+0.0405522
+0.0394395
+0.0383594
+0.037345
+0.0364341
+0.0355953
+0.0347243
+0.0337265
+0.0328437
+0.0320618
+0.0313052
+0.0306715
+0.0300725
+0.0296163
+0.0291246
+0.02823
+0.0274242
+0.0267305
+0.0261532
+0.0257089
+0.0254376
+0.0253349
+0.0253407
+0.0255245
+0.025874
+0.0263846
+0.0269816
+0.0277185
+0.0286047
+0.0296216
+0.03074
+0.0319696
+0.0332981
+0.034714
+0.0362073
+0.0371164
+0.0361026
+0.0351758
+0.0343253
+0.0329535
+0.031674
+0.0304983
+0.0294389
+0.0285087
+0.0277209
+0.0270731
+0.026587
+0.0262751
+0.0261436
+0.0261954
+0.0263991
+0.0267761
+0.0273107
+0.0279575
+0.0284286
+0.0290577
+0.0298348
+0.0307462
+0.0317777
+0.0329183
+0.0341603
+0.0354942
+0.0369099
+0.0383985
+0.0399519
+0.0415627
+0.0432245
+0.0449316
+0.0466792
+0.0484628
+0.0502786
+0.052052
+0.0535874
+0.0550388
+0.0564339
+0.0732635
+0.0717112
+0.0701888
+0.0686822
+0.0671952
+0.0657273
+0.0642257
+0.0627596
+0.0613268
+0.0598493
+0.0583991
+0.0569781
+0.0555412
+0.0541548
+0.0528147
+0.0514108
+0.0500635
+0.0487494
+0.0473866
+0.0460684
+0.0447783
+0.0435339
+0.0422553
+0.0409791
+0.0397826
+0.0386623
+0.037583
+0.0364528
+0.0354001
+0.0344378
+0.0335833
+0.0327209
+0.0317684
+0.0308307
+0.0300067
+0.029247
+0.0285725
+0.0279608
+0.0274714
+0.0271006
+0.0262206
+0.0253731
+0.0246499
+0.0240336
+0.0235616
+0.0232652
+0.0231548
+0.0231666
+0.0233674
+0.023747
+0.024296
+0.0249234
+0.0257194
+0.0266721
+0.027744
+0.0289351
+0.0302381
+0.0316394
+0.0331263
+0.034688
+0.0353572
+0.034298
+0.0333212
+0.0324489
+0.0312766
+0.0299254
+0.0286781
+0.0275488
+0.0265525
+0.0257048
+0.0250115
+0.0244845
+0.0241454
+0.0240023
+0.0240587
+0.024277
+0.0246857
+0.0252619
+0.025825
+0.0263343
+0.0270123
+0.0278439
+0.0288132
+0.0299113
+0.0311204
+0.0324313
+0.0338334
+0.0353158
+0.0368688
+0.038484
+0.0401537
+0.0418714
+0.0436316
+0.0454292
+0.04726
+0.0489741
+0.0505081
+0.0520865
+0.0536985
+0.0552198
+0.0717678
+0.0701824
+0.0686303
+0.0671093
+0.0656037
+0.0641202
+0.06265
+0.0611513
+0.0596863
+0.0582553
+0.0567737
+0.0553297
+0.0538983
+0.0524685
+0.0510927
+0.0497434
+0.0483497
+0.0470167
+0.0456802
+0.0443258
+0.0430214
+0.0417388
+0.0404874
+0.0391997
+0.0379472
+0.0367826
+0.0356844
+0.0345749
+0.0334855
+0.0324666
+0.031567
+0.0307263
+0.0298425
+0.0288423
+0.0279722
+0.027209
+0.0264826
+0.025862
+0.0253343
+0.0249509
+0.0242305
+0.0233473
+0.0225799
+0.0219277
+0.0214231
+0.0210967
+0.020977
+0.0209958
+0.0212173
+0.0216328
+0.0222077
+0.0228898
+0.0237541
+0.0247731
+0.0259156
+0.0271869
+0.0285698
+0.0300489
+0.0316108
+0.0332437
+0.0336394
+0.0325267
+0.0315098
+0.0305982
+0.0296667
+0.0282386
+0.0269132
+0.0257065
+0.0246358
+0.0237197
+0.0229738
+0.0223989
+0.0220278
+0.0218708
+0.0219274
+0.0221644
+0.0226113
+0.023239
+0.0237031
+0.0242571
+0.0249886
+0.0258795
+0.0269195
+0.0280917
+0.0293758
+0.0307612
+0.032236
+0.0337886
+0.0354087
+0.0370874
+0.0388173
+0.0405916
+0.0424049
+0.0442524
+0.045899
+0.0474313
+0.04901
+0.0506252
+0.0522823
+0.0539775
+0.0703085
+0.0686894
+0.0671028
+0.0655511
+0.0640315
+0.0625271
+0.0610475
+0.0595749
+0.0580795
+0.0566157
+0.0551789
+0.0537007
+0.0522636
+0.0508208
+0.0493991
+0.0480352
+0.0466758
+0.0452936
+0.0439771
+0.0426152
+0.04127
+0.0399683
+0.0387086
+0.0374461
+0.0361513
+0.0349269
+0.033797
+0.0327136
+0.031584
+0.0305253
+0.0295667
+0.0287184
+0.0278524
+0.0268854
+0.0259563
+0.0251578
+0.0244084
+0.0237797
+0.0232072
+0.022809
+0.022237
+0.0213354
+0.0205123
+0.0198304
+0.0192881
+0.0189332
+0.0188021
+0.0188298
+0.0190763
+0.019535
+0.0201394
+0.0208881
+0.0218317
+0.0229171
+0.0241476
+0.0255071
+0.0269763
+0.0285381
+0.0301783
+0.0318846
+0.0319793
+0.0308068
+0.0297399
+0.0287758
+0.0278666
+0.0266253
+0.0252153
+0.023923
+0.0227687
+0.0217741
+0.020962
+0.0203355
+0.0199259
+0.0197523
+0.0198065
+0.0200686
+0.020561
+0.0211969
+0.0215935
+0.0221986
+0.0229891
+0.0239543
+0.0250743
+0.0263288
+0.0276948
+0.0291601
+0.0307119
+0.0323377
+0.0340269
+0.0357706
+0.0375611
+0.0393921
+0.0412582
+0.0428272
+0.0443574
+0.0459364
+0.0475551
+0.049218
+0.050921
+0.0526522
+0.0687902
+0.0672347
+0.065613
+0.0640251
+0.0624737
+0.0609559
+0.0594528
+0.0579774
+0.0565023
+0.0550092
+0.0535482
+0.0521052
+0.0506308
+0.0492015
+0.0477459
+0.0463334
+0.0449833
+0.0436124
+0.0422436
+0.0409374
+0.0395553
+0.0382182
+0.0369228
+0.0356746
+0.0344012
+0.0331121
+0.0319215
+0.0308265
+0.0297213
+0.0286159
+0.0275954
+0.0267114
+0.0258536
+0.0249674
+0.023964
+0.0231117
+0.022355
+0.0216875
+0.0210928
+0.0206707
+0.0202234
+0.0193385
+0.0184731
+0.0177468
+0.0171595
+0.0167768
+0.0166313
+0.0166701
+0.0169481
+0.0174543
+0.0180987
+0.0189282
+0.0199491
+0.0211253
+0.0224542
+0.0239102
+0.0254716
+0.0271203
+0.0288412
+0.0306203
+0.0303828
+0.0291501
+0.0280203
+0.0269977
+0.0260487
+0.0250996
+0.0235986
+0.0222125
+0.0209642
+0.0198795
+0.0189866
+0.0183009
+0.0178447
+0.0176506
+0.0177026
+0.0179953
+0.0185429
+0.0190563
+0.0194964
+0.0201604
+0.0210275
+0.0220787
+0.023289
+0.0246346
+0.0260894
+0.02764
+0.0292725
+0.030974
+0.0327336
+0.0345427
+0.0363936
+0.0382805
+0.0397595
+0.0412872
+0.0428663
+0.0444888
+0.0461583
+0.0478698
+0.0495895
+0.0513136
+0.0672486
+0.0657133
+0.0641633
+0.0625386
+0.0609494
+0.0593985
+0.0578826
+0.056381
+0.0549106
+0.0534326
+0.0519392
+0.0504845
+0.0490345
+0.0475645
+0.0461306
+0.0446742
+0.0432724
+0.0419382
+0.0405543
+0.0392011
+0.0378687
+0.0364953
+0.0351736
+0.0338867
+0.0326319
+0.0313454
+0.0300849
+0.0289356
+0.0278543
+0.026726
+0.0256596
+0.0247065
+0.0238672
+0.0229968
+0.0220094
+0.0210926
+0.0203303
+0.0195939
+0.0189932
+0.0185234
+0.0181893
+0.0173448
+0.0164581
+0.015671
+0.0150487
+0.0146306
+0.0144665
+0.0145197
+0.0148355
+0.0153929
+0.0160973
+0.0170244
+0.0181287
+0.0194155
+0.0208536
+0.0224139
+0.0240726
+0.0258107
+0.0276093
+0.0294605
+0.0288358
+0.0275679
+0.0263706
+0.0252814
+0.0242758
+0.0233967
+0.0220811
+0.0205932
+0.01924
+0.0180521
+0.0170638
+0.0162977
+0.0157838
+0.015564
+0.0156226
+0.0159535
+0.0165688
+0.0169276
+0.0174216
+0.0181576
+0.0191157
+0.0202663
+0.0215786
+0.0230244
+0.0245747
+0.026215
+0.0279309
+0.0297093
+0.0315396
+0.0334133
+0.0352318
+0.0366969
+0.0382214
+0.0398005
+0.0414273
+0.043104
+0.0448251
+0.0465315
+0.0482654
+0.0499449
+0.065744
+0.0641727
+0.0626386
+0.0610946
+0.0594668
+0.0578761
+0.0563258
+0.0548122
+0.0533124
+0.0518474
+0.0503664
+0.0488729
+0.0474252
+0.0459675
+0.0445026
+0.043055
+0.0416065
+0.0402171
+0.0389008
+0.0375028
+0.0361681
+0.0348052
+0.0334374
+0.0321317
+0.0308631
+0.0295955
+0.0282989
+0.0270738
+0.0259726
+0.0248854
+0.023757
+0.0227359
+0.0218735
+0.0209928
+0.0201036
+0.019096
+0.0182715
+0.0175241
+0.0169165
+0.0163874
+0.0160421
+0.0153303
+0.0144505
+0.0136095
+0.0129593
+0.0124922
+0.012311
+0.0123835
+0.0127381
+0.013354
+0.0141418
+0.0151729
+0.0163991
+0.0178113
+0.0193689
+0.0210395
+0.0227967
+0.02462
+0.0264989
+0.0284225
+0.0273768
+0.0260643
+0.0247983
+0.0236325
+0.0225685
+0.0216471
+0.0206847
+0.0190882
+0.0176199
+0.0163144
+0.0152137
+0.0143491
+0.0137626
+0.0135099
+0.0135774
+0.0139569
+0.0145661
+0.014817
+0.0153765
+0.0162035
+0.0172704
+0.0185359
+0.0199622
+0.0215169
+0.0231683
+0.0249014
+0.0267019
+0.0285569
+0.0304566
+0.0321873
+0.0336408
+0.0351613
+0.0367402
+0.0383716
+0.0400565
+0.0417763
+0.0434791
+0.0451929
+0.0468783
+0.0485731
+0.0642788
+0.0626708
+0.0610989
+0.0595662
+0.058029
+0.0563978
+0.0548056
+0.053256
+0.051745
+0.0502473
+0.0487881
+0.0473044
+0.0458107
+0.0443713
+0.042905
+0.041446
+0.039983
+0.0385436
+0.0371688
+0.0358464
+0.0344596
+0.0331472
+0.0317484
+0.0303877
+0.0290905
+0.0278377
+0.0265718
+0.0252649
+0.0240848
+0.0230118
+0.021886
+0.0208094
+0.0198651
+0.01903
+0.0181642
+0.0171463
+0.0162443
+0.0154875
+0.0148345
+0.0142679
+0.0139084
+0.0133331
+0.0124526
+0.0115913
+0.0108575
+0.0103569
+0.0101691
+0.0102703
+0.0106771
+0.0113652
+0.0122593
+0.01342
+0.0147922
+0.0163439
+0.0180287
+0.0198079
+0.0216612
+0.0235724
+0.0255286
+0.0274905
+0.0260206
+0.0246359
+0.023314
+0.0220714
+0.0209475
+0.019954
+0.0191025
+0.0177268
+0.016135
+0.0146983
+0.0134661
+0.012481
+0.011802
+0.0115064
+0.0115856
+0.0120281
+0.0124407
+0.0127334
+0.013375
+0.014318
+0.0155151
+0.0169125
+0.0184646
+0.0201353
+0.0218912
+0.0237178
+0.0256016
+0.0275309
+0.0291542
+0.0305932
+0.0321085
+0.0336868
+0.0353234
+0.0370173
+0.0387209
+0.0404337
+0.0421221
+0.043816
+0.0454996
+0.0472011
+0.0627776
+0.0612104
+0.0596001
+0.0580278
+0.0564967
+0.054967
+0.0533322
+0.0517384
+0.0501897
+0.0486818
+0.0471865
+0.0457333
+0.0442458
+0.0427538
+0.0413241
+0.039848
+0.0383944
+0.0369153
+0.0354868
+0.0341295
+0.0328001
+0.0314271
+0.0301028
+0.0286964
+0.0273488
+0.0260628
+0.0248012
+0.0235209
+0.0222485
+0.0211273
+0.020078
+0.0189185
+0.0178978
+0.0170451
+0.0161549
+0.015256
+0.0142482
+0.0134699
+0.0127448
+0.0121736
+0.0117822
+0.0113938
+0.0104409
+0.00957199
+0.00877748
+0.00825077
+0.00804063
+0.00819782
+0.00867985
+0.00943776
+0.0104872
+0.0118141
+0.0133524
+0.0150518
+0.0168586
+0.0187475
+0.0206959
+0.0226886
+0.0247148
+0.0262966
+0.0247781
+0.0233262
+0.0219308
+0.020625
+0.0194261
+0.0183635
+0.0174342
+0.0165158
+0.0148238
+0.0132483
+0.0118665
+0.0107356
+0.00993809
+0.00958519
+0.00968008
+0.0102055
+0.0103424
+0.0106928
+0.011443
+0.0125322
+0.0138842
+0.0154299
+0.0171171
+0.0189071
+0.0207671
+0.0226841
+0.0246345
+0.0261364
+0.0275568
+0.0290653
+0.0306424
+0.0322846
+0.0339888
+0.0356729
+0.037397
+0.0390556
+0.0407471
+0.0424296
+0.0441358
+0.0458828
+0.0612861
+0.059708
+0.0581451
+0.0565324
+0.0549597
+0.0534305
+0.0519093
+0.0502705
+0.0486751
+0.0471276
+0.0456233
+0.044131
+0.0426847
+0.0411892
+0.0397032
+0.0382849
+0.0367969
+0.0353308
+0.0338531
+0.0324379
+0.0311018
+0.0297646
+0.0284088
+0.0270468
+0.0256442
+0.0243249
+0.0230538
+0.0217796
+0.0204821
+0.0192582
+0.0181992
+0.0170795
+0.0159885
+0.0150607
+0.0141993
+0.0133076
+0.0122956
+0.0114182
+0.0106956
+0.0100948
+0.00962523
+0.00944281
+0.00843666
+0.00756606
+0.00673643
+0.00617484
+0.00593811
+0.0061828
+0.00679926
+0.00765295
+0.00889137
+0.0104235
+0.0121331
+0.0139739
+0.0159036
+0.0178936
+0.0199257
+0.0219883
+0.0240735
+0.0252321
+0.0236409
+0.0221423
+0.0206824
+0.0192978
+0.018036
+0.0168825
+0.0158933
+0.0150539
+0.0136727
+0.0119997
+0.0104828
+0.009183
+0.00823647
+0.00780703
+0.00788836
+0.00835977
+0.00829215
+0.00872198
+0.0096224
+0.0108952
+0.0124266
+0.0141327
+0.0159575
+0.0178485
+0.0197905
+0.0217798
+0.0231398
+0.0245358
+0.0260351
+0.0276099
+0.0292583
+0.030955
+0.0326343
+0.0343339
+0.0359944
+0.037672
+0.0393588
+0.0410754
+0.0428287
+0.0446001
+0.0598377
+0.0582203
+0.0566415
+0.0550836
+0.0534682
+0.0518951
+0.0503681
+0.0488512
+0.0472136
+0.0456165
+0.0440705
+0.0425705
+0.0410818
+0.0396429
+0.0381394
+0.0366606
+0.0352435
+0.0337527
+0.032267
+0.0307981
+0.0293966
+0.0280867
+0.026743
+0.0254097
+0.0240017
+0.0226046
+0.0213074
+0.0200492
+0.0187754
+0.0174641
+0.0163081
+0.0152836
+0.0141215
+0.0131045
+0.0122725
+0.011369
+0.0104049
+0.00941774
+0.0087156
+0.00805344
+0.00748784
+0.00733863
+0.00650816
+0.00556773
+0.00470812
+0.00409156
+0.00393153
+0.00430018
+0.00508794
+0.00610537
+0.00759807
+0.00933071
+0.0112037
+0.013175
+0.0152065
+0.0172769
+0.0193738
+0.0214894
+0.0236187
+0.0243128
+0.0226589
+0.0210907
+0.0196
+0.0181323
+0.0167834
+0.0155694
+0.0145015
+0.013597
+0.0126801
+0.0109571
+0.00932642
+0.00789599
+0.00677432
+0.00624513
+0.006351
+0.00642259
+0.00633656
+0.006879
+0.00798989
+0.00948442
+0.0112102
+0.0130601
+0.0149821
+0.0169694
+0.0188523
+0.0201738
+0.0215368
+0.0230229
+0.0245937
+0.0262488
+0.0279187
+0.0296081
+0.031271
+0.0329402
+0.034601
+0.0362923
+0.0380201
+0.0397745
+0.0415534
+0.0433658
+0.0584355
+0.0567782
+0.0551582
+0.0535787
+0.0520263
+0.0504082
+0.0488348
+0.0473105
+0.0457942
+0.0441625
+0.0425636
+0.0410195
+0.0395247
+0.0380405
+0.036604
+0.035098
+0.0336282
+0.0322044
+0.030718
+0.0292105
+0.0277523
+0.0263639
+0.0250812
+0.0237356
+0.0224205
+0.020972
+0.0195834
+0.0183032
+0.0170331
+0.0157705
+0.01448
+0.0134243
+0.0123456
+0.0112352
+0.010345
+0.00943772
+0.00852856
+0.00749404
+0.0066831
+0.00599155
+0.00539338
+0.00524076
+0.00460731
+0.00354493
+0.0026945
+0.00206791
+0.00206977
+0.00269719
+0.00376387
+0.0050545
+0.00677588
+0.00865088
+0.0106441
+0.0127026
+0.0147991
+0.0169194
+0.0190557
+0.0212031
+0.0233585
+0.0235262
+0.0218532
+0.0202226
+0.0186776
+0.0171495
+0.0157187
+0.014422
+0.0132894
+0.0123234
+0.0114134
+0.0101408
+0.00847276
+0.00698551
+0.00576931
+0.00513461
+0.00516899
+0.0047006
+0.00458827
+0.00530723
+0.00668463
+0.00839951
+0.0102593
+0.0122292
+0.0142637
+0.0159813
+0.0172361
+0.0185701
+0.0200357
+0.0216008
+0.0232421
+0.0248975
+0.0265984
+0.0282158
+0.0298818
+0.0315354
+0.0332317
+0.0349612
+0.0367244
+0.0385148
+0.0403448
+0.0422091
+0.0570823
+0.0553852
+0.0537232
+0.0521002
+0.0505202
+0.0489742
+0.0473531
+0.0457795
+0.0442584
+0.0427419
+0.0411184
+0.0395178
+0.0379762
+0.0364878
+0.0350092
+0.033576
+0.0320674
+0.0306089
+0.0291776
+0.0276973
+0.0261637
+0.0247152
+0.0233484
+0.0220713
+0.0207482
+0.0194019
+0.0179436
+0.0165905
+0.0153364
+0.0140526
+0.0127664
+0.011556
+0.0105303
+0.00942618
+0.00843317
+0.0075718
+0.00667957
+0.00567276
+0.00470446
+0.00402216
+0.00339526
+0.00319478
+0.00287312
+0.00166143
+0.000665959
+0.000129196
+0.000736362
+0.00195426
+0.00327533
+0.00471576
+0.0064799
+0.00841728
+0.0104552
+0.0125447
+0.0146637
+0.0168012
+0.0189508
+0.0211088
+0.023273
+0.0229208
+0.0212293
+0.0195623
+0.0179596
+0.0164
+0.0148961
+0.01352
+0.0123372
+0.0112872
+0.0103634
+0.0093439
+0.00800532
+0.00650829
+0.00534384
+0.00451763
+0.00431957
+0.00341217
+0.00332695
+0.00429206
+0.0058339
+0.00769013
+0.0096871
+0.0117533
+0.0131835
+0.0143477
+0.0156301
+0.0170665
+0.0186365
+0.0202304
+0.0218954
+0.0235581
+0.0251711
+0.0268135
+0.0284768
+0.0301724
+0.0319057
+0.0336777
+0.0354866
+0.0373364
+0.0392205
+0.041085
+0.055707
+0.0540329
+0.0523405
+0.0506733
+0.0490473
+0.0474668
+0.0459282
+0.044304
+0.0427304
+0.0412133
+0.0396966
+0.038083
+0.0364808
+0.0349425
+0.0334621
+0.0319908
+0.030562
+0.0290511
+0.0276071
+0.0261675
+0.024667
+0.0231305
+0.0216918
+0.0203577
+0.0190896
+0.0177853
+0.0164004
+0.0149434
+0.0136446
+0.0123943
+0.0111122
+0.00981852
+0.00874324
+0.00771283
+0.00660164
+0.00577086
+0.00483452
+0.00389351
+0.00292876
+0.00218664
+0.00159355
+0.00133924
+0.00142443
+0.000219224
+-0.00110883
+-0.00080609
+0.00106174
+0.00244935
+0.0037418
+0.00517121
+0.00689929
+0.00874425
+0.0107202
+0.0127664
+0.0148538
+0.0169673
+0.0190983
+0.0212413
+0.0233932
+0.0225131
+0.0207885
+0.0191132
+0.0174587
+0.0158327
+0.0142902
+0.0129059
+0.0116492
+0.0105628
+0.00958297
+0.00851154
+0.00754852
+0.00659909
+0.0054092
+0.00442783
+0.00388706
+0.00293161
+0.00293991
+0.00405132
+0.00567619
+0.00757119
+0.00946906
+0.0104425
+0.0115672
+0.0127652
+0.0141527
+0.0156896
+0.0172404
+0.0189093
+0.0205168
+0.0221399
+0.023753
+0.0254206
+0.0271115
+0.0288592
+0.0306412
+0.0324715
+0.034344
+0.0362096
+0.0380955
+0.0400125
+0.0543574
+0.0526674
+0.0509894
+0.0493025
+0.0476298
+0.0460005
+0.0444195
+0.0428897
+0.0412622
+0.039689
+0.0381766
+0.0366603
+0.0350585
+0.0334549
+0.0319212
+0.0304505
+0.0289891
+0.0275667
+0.026054
+0.0246267
+0.0231534
+0.0216459
+0.0201172
+0.0186929
+0.0174047
+0.0161518
+0.0148564
+0.0134082
+0.0119931
+0.0107326
+0.00943131
+0.00824794
+0.00699339
+0.00598427
+0.00496209
+0.00396937
+0.0030785
+0.00224513
+0.00143305
+0.000591008
+0.000219773
+9.21108e-05
+0.000152818
+-0.000195066
+-0.00011218
+0.000622301
+0.00212471
+0.00380974
+0.00492509
+0.00618505
+0.00768975
+0.00942152
+0.0113135
+0.0132976
+0.0153379
+0.0174098
+0.0194902
+0.0215916
+0.0237091
+0.0222451
+0.0205157
+0.0188209
+0.0171466
+0.0155432
+0.0139745
+0.0125555
+0.0113398
+0.0102115
+0.00916941
+0.00809175
+0.00707563
+0.00614438
+0.00522692
+0.00427496
+0.00357309
+0.00330589
+0.00362807
+0.00470965
+0.0062549
+0.00716006
+0.0078336
+0.00892805
+0.0100364
+0.011337
+0.0127292
+0.014281
+0.0159151
+0.0174906
+0.0191006
+0.0207037
+0.0223603
+0.0240564
+0.025816
+0.0276185
+0.0294737
+0.0313415
+0.0332148
+0.0351249
+0.0370355
+0.0389634
+0.0528924
+0.0513075
+0.0496302
+0.0479529
+0.0462725
+0.0445937
+0.042961
+0.0413799
+0.0398565
+0.0382295
+0.036657
+0.0351507
+0.0336351
+0.0320482
+0.0304436
+0.0289162
+0.0274552
+0.0260099
+0.0245968
+0.0230835
+0.0216632
+0.0201525
+0.01865
+0.017134
+0.0157324
+0.0145122
+0.0132722
+0.0119428
+0.0104526
+0.00910607
+0.00788142
+0.00659379
+0.00550584
+0.00442919
+0.00340031
+0.00235738
+0.00164068
+0.000961487
+0.000253268
+-0.000118552
+-0.000159877
+-0.000205705
+1.43231e-05
+0.00033489
+0.00109546
+0.00232449
+0.0036025
+0.00519863
+0.00652023
+0.00758866
+0.00893299
+0.0104813
+0.0122102
+0.0140683
+0.0160108
+0.0180103
+0.0200498
+0.0221161
+0.0235876
+0.02188
+0.0202528
+0.0187299
+0.0170773
+0.0154746
+0.0139698
+0.012579
+0.0114031
+0.0102439
+0.00920614
+0.0081756
+0.00715232
+0.00620521
+0.00533857
+0.00454829
+0.0040888
+0.00415819
+0.00471978
+0.00562414
+0.00549314
+0.0056566
+0.0064341
+0.00748114
+0.00854572
+0.0098359
+0.0113328
+0.0129293
+0.0144948
+0.0160549
+0.0176713
+0.0193017
+0.0210138
+0.022785
+0.0246145
+0.0264845
+0.0283402
+0.0302408
+0.0321528
+0.0340753
+0.0360182
+0.0379078
+0.0514616
+0.0498426
+0.0482576
+0.0465981
+0.0449247
+0.0432513
+0.0415668
+0.0399305
+0.0383496
+0.0368312
+0.0352081
+0.033637
+0.0321386
+0.0306246
+0.0290562
+0.0274517
+0.025933
+0.0244855
+0.0230612
+0.0216348
+0.0201323
+0.0187027
+0.0171812
+0.0156938
+0.0141982
+0.012837
+0.0116741
+0.0104538
+0.00909634
+0.00761068
+0.006355
+0.00514993
+0.00406073
+0.0031177
+0.00212763
+0.00130047
+0.000937972
+0.000847819
+0.000845225
+0.000817324
+0.000880193
+0.0007782
+0.000970931
+0.00117145
+0.0018156
+0.00306929
+0.00462714
+0.00630527
+0.00813469
+0.0092965
+0.0104465
+0.0118303
+0.0134082
+0.0151198
+0.0169421
+0.0188431
+0.0208011
+0.0228015
+0.0228086
+0.0210379
+0.01934
+0.017739
+0.0162757
+0.0149908
+0.0138968
+0.0129104
+0.0117697
+0.0106781
+0.00971597
+0.00873996
+0.00775757
+0.00683026
+0.00607584
+0.00549512
+0.00523806
+0.00545692
+0.00554274
+0.00482614
+0.00436543
+0.00451389
+0.00505103
+0.00592675
+0.00707067
+0.00845366
+0.00999817
+0.0115341
+0.0130338
+0.0146405
+0.016255
+0.0179867
+0.0197749
+0.0216371
+0.0234757
+0.0253623
+0.0272756
+0.0291906
+0.0311407
+0.0330187
+0.0349332
+0.0368726
+0.0500851
+0.0484201
+0.0467986
+0.0452142
+0.0435753
+0.0418957
+0.0402376
+0.0385511
+0.0369112
+0.035331
+0.033819
+0.0322013
+0.0306327
+0.0291444
+0.0276334
+0.0260891
+0.0244861
+0.0229804
+0.0215519
+0.0201433
+0.0187106
+0.0172316
+0.0157627
+0.0142637
+0.0128049
+0.0113359
+0.0100622
+0.0088889
+0.00771344
+0.00639871
+0.00496785
+0.00392655
+0.00286077
+0.00230708
+0.00152628
+0.00126728
+0.00144755
+0.00180558
+0.00214017
+0.00250139
+0.00260177
+0.00225795
+0.00242945
+0.00251319
+0.00261571
+0.00360139
+0.00503045
+0.00674915
+0.008371
+0.0101105
+0.011986
+0.0133788
+0.0148091
+0.0163981
+0.0180921
+0.0198834
+0.021748
+0.0236685
+0.0222192
+0.0203974
+0.0186413
+0.0169744
+0.0154388
+0.0140777
+0.0129066
+0.0120071
+0.0114611
+0.0113188
+0.0106025
+0.0097123
+0.00877542
+0.00793086
+0.00729334
+0.0068746
+0.00674778
+0.00631385
+0.00514496
+0.00422803
+0.00367412
+0.00340181
+0.00374944
+0.0045807
+0.00574304
+0.00716119
+0.0086124
+0.0100597
+0.0116108
+0.0132303
+0.0149735
+0.0167967
+0.0186289
+0.0204934
+0.0224058
+0.0243114
+0.0262597
+0.028133
+0.0300393
+0.0319769
+0.0339358
+0.0358081
+0.0487487
+0.0470566
+0.0453863
+0.043762
+0.0421788
+0.0405561
+0.0388776
+0.0372378
+0.0355497
+0.0339062
+0.0323276
+0.0308214
+0.0292136
+0.0276491
+0.0261745
+0.0246666
+0.023136
+0.0215579
+0.0200715
+0.0186717
+0.0172697
+0.0158525
+0.0144051
+0.0128969
+0.0114291
+0.0100179
+0.00856911
+0.00746393
+0.00631367
+0.00518377
+0.00406962
+0.00289568
+0.00227412
+0.00188205
+0.00185784
+0.00219508
+0.00272516
+0.00349846
+0.00391948
+0.00427797
+0.00389208
+0.00381367
+0.00405815
+0.00400704
+0.00383455
+0.00444889
+0.00559074
+0.00701697
+0.00855417
+0.0102537
+0.0121075
+0.0140275
+0.0160015
+0.0178286
+0.0194219
+0.0211006
+0.0228661
+0.02366
+0.0218346
+0.0199778
+0.0181812
+0.0164678
+0.01488
+0.0134626
+0.0122327
+0.0112795
+0.0106965
+0.0105438
+0.0107593
+0.0109911
+0.0101362
+0.00938909
+0.00884521
+0.00853106
+0.00785094
+0.00650086
+0.00529118
+0.00417714
+0.00329837
+0.00273876
+0.00287585
+0.00344636
+0.00454412
+0.00577801
+0.0071775
+0.00860695
+0.010233
+0.0120031
+0.0138186
+0.015643
+0.017548
+0.019442
+0.0213852
+0.0232527
+0.0251473
+0.0270822
+0.0290408
+0.0309301
+0.0328188
+0.0347346
+0.0474187
+0.0457286
+0.0440378
+0.0423618
+0.0407346
+0.0391532
+0.0375357
+0.0358732
+0.0342363
+0.0325664
+0.0309195
+0.0293416
+0.0278422
+0.0262515
+0.0246936
+0.0232368
+0.021731
+0.0202156
+0.0186845
+0.0172107
+0.0158737
+0.0144889
+0.0131041
+0.0116892
+0.0101532
+0.00872245
+0.00739355
+0.00612356
+0.00516267
+0.00413702
+0.00331428
+0.00266621
+0.00232497
+0.00236761
+0.00279527
+0.00357073
+0.00431414
+0.00517996
+0.00561116
+0.00527991
+0.00543373
+0.00554172
+0.00546786
+0.00527749
+0.00502108
+0.0054381
+0.00633227
+0.00752121
+0.00898822
+0.0106504
+0.0123915
+0.0142572
+0.0161722
+0.0181173
+0.0200935
+0.0221041
+0.0241278
+0.023117
+0.0214676
+0.0197361
+0.0179781
+0.0162433
+0.0146312
+0.013187
+0.0119235
+0.0109435
+0.0103415
+0.0101815
+0.0104028
+0.0110609
+0.011726
+0.0110487
+0.0105739
+0.00990651
+0.0085073
+0.00710086
+0.00587673
+0.00467458
+0.00357035
+0.00270506
+0.00212794
+0.00241136
+0.00315405
+0.00441859
+0.00568261
+0.00729109
+0.0090935
+0.0108359
+0.0127099
+0.014586
+0.0165244
+0.0183821
+0.0202584
+0.022189
+0.0241472
+0.0260598
+0.0279334
+0.0298412
+0.0317855
+0.03376
+0.0461042
+0.0444126
+0.0427197
+0.0410308
+0.0393487
+0.0377188
+0.0361399
+0.0345289
+0.0328861
+0.0312463
+0.0296021
+0.0279553
+0.0263805
+0.0248844
+0.0233227
+0.0217758
+0.0203309
+0.0188475
+0.0173495
+0.0158761
+0.0144319
+0.0131739
+0.0118472
+0.0104898
+0.00913959
+0.00762082
+0.00636111
+0.005255
+0.00428302
+0.0034639
+0.00317253
+0.00283179
+0.00307023
+0.00347554
+0.00423545
+0.00505763
+0.00598086
+0.00693096
+0.00666162
+0.00670354
+0.00684795
+0.00735872
+0.00700237
+0.00638453
+0.00617191
+0.00636699
+0.0069545
+0.00804944
+0.00939834
+0.0109494
+0.0126321
+0.0144359
+0.016299
+0.0182304
+0.0201955
+0.0221968
+0.0242128
+0.0227206
+0.020996
+0.0192185
+0.0175042
+0.0159065
+0.0144651
+0.0132115
+0.0119404
+0.0109618
+0.0103609
+0.0102012
+0.0104218
+0.0110788
+0.0121021
+0.0128501
+0.0121814
+0.0107992
+0.00937047
+0.00801088
+0.00685199
+0.00552517
+0.00440191
+0.00322538
+0.00216633
+0.00143919
+0.0019895
+0.00297121
+0.00446311
+0.00607954
+0.0079146
+0.00975346
+0.0116588
+0.0135316
+0.0153756
+0.0172983
+0.0192561
+0.0212022
+0.0230536
+0.0249498
+0.0268909
+0.0288676
+0.0308081
+0.0327642
+0.044788
+0.0431038
+0.0414128
+0.0397245
+0.0380385
+0.0363499
+0.0347175
+0.0331422
+0.0315398
+0.0299216
+0.0282797
+0.0266656
+0.0250219
+0.0234548
+0.0219652
+0.0204278
+0.0188992
+0.017491
+0.0160362
+0.0145652
+0.0131803
+0.0118131
+0.0106451
+0.00942258
+0.00803185
+0.00685999
+0.00556925
+0.00459913
+0.00394851
+0.00337935
+0.00344616
+0.00376181
+0.00404649
+0.00483169
+0.00576786
+0.00672824
+0.00769243
+0.0079614
+0.00800441
+0.00826073
+0.00857877
+0.00839093
+0.00835366
+0.00757703
+0.00719339
+0.00722706
+0.00777662
+0.00877125
+0.0100103
+0.0114569
+0.0130883
+0.0148139
+0.0166271
+0.0185012
+0.0204341
+0.0224146
+0.0240495
+0.0225312
+0.0207224
+0.0189304
+0.0171923
+0.0155627
+0.0140861
+0.0128155
+0.011771
+0.0110324
+0.0106991
+0.0106798
+0.0108908
+0.011521
+0.0125083
+0.013776
+0.0133062
+0.0118471
+0.0104524
+0.00918716
+0.00799091
+0.00672337
+0.00532211
+0.00387576
+0.00246818
+0.00129677
+0.000983821
+0.00180744
+0.00322873
+0.00501472
+0.00682556
+0.00873491
+0.0105075
+0.0124129
+0.01437
+0.0163312
+0.0181834
+0.020062
+0.0219979
+0.0239778
+0.0259131
+0.0278686
+0.0298484
+0.0318558
+0.0435143
+0.0418041
+0.0401143
+0.038426
+0.0367464
+0.0350645
+0.0333693
+0.0317347
+0.0301648
+0.028574
+0.0269871
+0.0253445
+0.0237581
+0.0221215
+0.0205797
+0.0191026
+0.0175887
+0.0161049
+0.0147554
+0.0133379
+0.0119365
+0.0106795
+0.00944216
+0.00831386
+0.00716693
+0.0060349
+0.00519614
+0.00432807
+0.00396006
+0.00379626
+0.00420768
+0.0047731
+0.0054544
+0.00634674
+0.00739704
+0.00852725
+0.00920676
+0.00907653
+0.00940334
+0.00986189
+0.00987507
+0.00957376
+0.00939045
+0.00861166
+0.00820937
+0.00821993
+0.00867353
+0.0095224
+0.0106523
+0.0120471
+0.0135985
+0.0152777
+0.0169922
+0.0187677
+0.020609
+0.0225128
+0.0240323
+0.0225057
+0.0206575
+0.0188594
+0.0171319
+0.0154967
+0.0140139
+0.0127358
+0.0116563
+0.01091
+0.0105728
+0.0106836
+0.0111889
+0.0120368
+0.0131975
+0.0141429
+0.0141177
+0.0130606
+0.0117194
+0.010599
+0.00935655
+0.00789576
+0.00630842
+0.00472639
+0.00298129
+0.00143688
+0.000548638
+0.000766719
+0.00216899
+0.00393002
+0.00569176
+0.00754315
+0.00949684
+0.0114474
+0.0133194
+0.0151809
+0.0171082
+0.0190924
+0.0210199
+0.0229742
+0.0249577
+0.0269733
+0.0290143
+0.0309801
+0.0422743
+0.0405434
+0.0388344
+0.0371426
+0.0354581
+0.0337898
+0.0321025
+0.0304121
+0.0287764
+0.0272144
+0.0256394
+0.0240608
+0.0224531
+0.0209013
+0.0192711
+0.0177618
+0.0163261
+0.0148506
+0.0134429
+0.0121374
+0.0107693
+0.00953646
+0.00835534
+0.00731248
+0.00644665
+0.00545428
+0.00484388
+0.00443082
+0.00438792
+0.00469649
+0.005238
+0.00605496
+0.00696276
+0.0079146
+0.00904703
+0.0101781
+0.0103213
+0.0104363
+0.0107392
+0.0114497
+0.0110589
+0.0108553
+0.0104478
+0.00972299
+0.00936854
+0.00936292
+0.00968784
+0.0103867
+0.0114204
+0.0126547
+0.0140727
+0.0156222
+0.0173026
+0.0190868
+0.020905
+0.0227626
+0.024214
+0.0226588
+0.0208241
+0.0190417
+0.0173325
+0.0157181
+0.0142584
+0.0130043
+0.0119491
+0.0112223
+0.0108948
+0.0110023
+0.0114936
+0.0123205
+0.0134569
+0.0135545
+0.013494
+0.0132828
+0.0130872
+0.0118515
+0.0106718
+0.00907453
+0.00742515
+0.00555143
+0.0037779
+0.00206468
+0.000643403
+0.000126398
+0.00105775
+0.00274236
+0.00467173
+0.00658546
+0.00848165
+0.0103164
+0.0122256
+0.0142161
+0.0161299
+0.0180822
+0.0200709
+0.0220979
+0.0241534
+0.0260837
+0.0280398
+0.0300284
+0.0410948
+0.0393193
+0.0375876
+0.0358773
+0.0341933
+0.0325145
+0.0308571
+0.0291689
+0.027486
+0.0258508
+0.0243008
+0.0227461
+0.0211808
+0.0196248
+0.0180927
+0.0165102
+0.0150431
+0.0136487
+0.0122502
+0.0109534
+0.00970987
+0.00843461
+0.00744
+0.00652947
+0.00575423
+0.00508144
+0.00482466
+0.00474283
+0.00510628
+0.0056579
+0.00646074
+0.00746597
+0.00844354
+0.00950863
+0.0106727
+0.0113622
+0.0114431
+0.011795
+0.0122236
+0.0127075
+0.0122455
+0.012153
+0.011636
+0.0109156
+0.0105792
+0.0105175
+0.010822
+0.0114768
+0.0123312
+0.0134278
+0.0147694
+0.0162571
+0.0177711
+0.0193832
+0.0210998
+0.0228908
+0.0242687
+0.0225847
+0.0209531
+0.0194196
+0.0177959
+0.016227
+0.0148167
+0.0136145
+0.0126211
+0.0119352
+0.0116278
+0.0117286
+0.0121907
+0.0129733
+0.0136546
+0.0132703
+0.0132086
+0.0128163
+0.0127515
+0.0129607
+0.0118052
+0.010213
+0.00831745
+0.00652735
+0.00463453
+0.00271304
+0.000959333
+-0.000309149
+5.14217e-05
+0.00170967
+0.00361343
+0.00548246
+0.00736271
+0.00936299
+0.0112472
+0.0131948
+0.0151916
+0.0172355
+0.0192595
+0.0211881
+0.0231434
+0.0251375
+0.0271619
+0.0292103
+0.0399525
+0.0381743
+0.0363881
+0.0346485
+0.0329461
+0.0312729
+0.0296025
+0.0279466
+0.026273
+0.0246021
+0.0229705
+0.021438
+0.0199087
+0.0183718
+0.0168647
+0.0153626
+0.0138923
+0.012502
+0.0111721
+0.00989039
+0.00878527
+0.00761118
+0.00663042
+0.00599144
+0.00542863
+0.00505699
+0.00514804
+0.00549055
+0.00600073
+0.00686507
+0.00780095
+0.0088232
+0.0100295
+0.0111573
+0.0122894
+0.0125268
+0.0127461
+0.0131641
+0.013742
+0.0137726
+0.0135541
+0.0135844
+0.0127664
+0.0120309
+0.0115914
+0.0114997
+0.011734
+0.0121514
+0.0129247
+0.0139679
+0.0152257
+0.01662
+0.018085
+0.0196653
+0.02133
+0.0230653
+0.0243068
+0.0225873
+0.0209548
+0.0194075
+0.0179912
+0.0167425
+0.0156494
+0.0144794
+0.0135647
+0.0129514
+0.0126686
+0.0127612
+0.0131833
+0.0137711
+0.0132053
+0.0129601
+0.0130333
+0.0126754
+0.0126098
+0.0128742
+0.0129279
+0.011162
+0.00928709
+0.00731986
+0.00542459
+0.00351003
+0.00163774
+-1.87217e-05
+-0.000959862
+0.000726233
+0.00257383
+0.00454279
+0.00638894
+0.00832075
+0.0103305
+0.0124016
+0.0143655
+0.0162944
+0.018248
+0.0202502
+0.0222879
+0.0243467
+0.0263962
+0.0284107
+0.0388148
+0.0370288
+0.0352747
+0.0334871
+0.0317396
+0.0300483
+0.0283838
+0.0267323
+0.0250781
+0.0234289
+0.0217771
+0.0201549
+0.0186493
+0.0171601
+0.0156722
+0.0142212
+0.0127987
+0.0114948
+0.010231
+0.00900106
+0.00799976
+0.00696728
+0.00616136
+0.0057054
+0.00548076
+0.00550695
+0.00579714
+0.00654316
+0.00718076
+0.00810791
+0.00921427
+0.0103512
+0.0115142
+0.0127736
+0.0137905
+0.0138274
+0.0140771
+0.014605
+0.0152636
+0.014856
+0.01471
+0.0148067
+0.0138402
+0.0130947
+0.012649
+0.0125323
+0.0126862
+0.0130525
+0.0137477
+0.0146825
+0.015818
+0.01709
+0.0184506
+0.0199188
+0.0215068
+0.0229896
+0.0244648
+0.0227868
+0.0211442
+0.0196089
+0.0182082
+0.0169756
+0.0159315
+0.0151299
+0.0146154
+0.0141983
+0.0139409
+0.0140251
+0.0142231
+0.0135279
+0.0130094
+0.0127331
+0.0126749
+0.0124748
+0.0125996
+0.013045
+0.0137145
+0.0121157
+0.0101635
+0.00831937
+0.0063085
+0.00427863
+0.00234708
+0.000491087
+-0.00103487
+-0.000201945
+0.0015985
+0.00345865
+0.00551347
+0.00753855
+0.00947563
+0.0114048
+0.013355
+0.0153701
+0.0174241
+0.0194941
+0.0215052
+0.0235305
+0.0255831
+0.0276568
+0.03777
+0.0359321
+0.034136
+0.0323885
+0.0306236
+0.0288701
+0.027179
+0.0255323
+0.0239012
+0.0222541
+0.0206371
+0.0190155
+0.0174354
+0.0159566
+0.0145527
+0.0131387
+0.0118009
+0.0104721
+0.00932859
+0.00832666
+0.00729711
+0.00665299
+0.00602476
+0.00557212
+0.00560224
+0.00603135
+0.0066569
+0.00750528
+0.00856026
+0.00950145
+0.0106538
+0.0118412
+0.0130827
+0.0143343
+0.0149673
+0.0152084
+0.0155332
+0.0160243
+0.0163855
+0.0160872
+0.0159652
+0.0157226
+0.0147486
+0.0140433
+0.013597
+0.0134494
+0.0135864
+0.013966
+0.0145963
+0.0153438
+0.0162686
+0.0174014
+0.0185508
+0.0197098
+0.0210337
+0.0224313
+0.0236557
+0.0231667
+0.021553
+0.0200491
+0.0186815
+0.0174822
+0.0164703
+0.0156962
+0.0152009
+0.0150121
+0.0150999
+0.0146708
+0.0136507
+0.0129247
+0.0125441
+0.0124898
+0.012418
+0.0122137
+0.0123992
+0.0128314
+0.0135902
+0.0131096
+0.0111117
+0.00909621
+0.00712581
+0.00512747
+0.00310003
+0.00119489
+-0.000480517
+-0.00118424
+0.000712907
+0.00263917
+0.0045999
+0.00652864
+0.0084683
+0.0105056
+0.0125721
+0.0146205
+0.0166186
+0.0186599
+0.0207315
+0.0228128
+0.024811
+0.0268364
+0.0367837
+0.0349384
+0.0330885
+0.0312825
+0.0295286
+0.0277983
+0.026053
+0.0243634
+0.0227453
+0.0211385
+0.0195095
+0.0179442
+0.0163545
+0.0148461
+0.0134176
+0.0121532
+0.0108276
+0.00968964
+0.00855996
+0.0076557
+0.00687213
+0.00634533
+0.00602468
+0.00606895
+0.00621263
+0.00674578
+0.00762701
+0.00859833
+0.00968123
+0.0109823
+0.0121198
+0.0133714
+0.0146397
+0.0159264
+0.0162725
+0.0165453
+0.0170714
+0.0175942
+0.0172634
+0.0171661
+0.0172224
+0.0167212
+0.0157591
+0.0150474
+0.0145937
+0.0143752
+0.0143205
+0.0144409
+0.0148863
+0.015584
+0.0163259
+0.0171014
+0.0180888
+0.0192678
+0.0202568
+0.0213954
+0.0224599
+0.0232944
+0.0221718
+0.0207128
+0.0193921
+0.0182396
+0.0172721
+0.0165356
+0.0160662
+0.0158877
+0.0151762
+0.014158
+0.0133089
+0.0126764
+0.0122385
+0.0119734
+0.0117648
+0.0119439
+0.0123365
+0.0129448
+0.0136973
+0.0139643
+0.0119806
+0.00997891
+0.00795839
+0.0060289
+0.00400227
+0.002024
+6.23285e-05
+-0.00174805
+-0.000217171
+0.00167397
+0.00361382
+0.00566373
+0.00777795
+0.00972896
+0.0117419
+0.0138067
+0.0158937
+0.017916
+0.0199235
+0.0219548
+0.0240087
+0.0260849
+0.0357889
+0.0339641
+0.0321315
+0.0302948
+0.0284802
+0.0267219
+0.025032
+0.0232997
+0.0216251
+0.0200412
+0.0184729
+0.0168876
+0.0153907
+0.0138697
+0.012467
+0.0111646
+0.0100669
+0.00897748
+0.00798107
+0.00718436
+0.0066502
+0.00643238
+0.00642633
+0.00660147
+0.00710893
+0.00783173
+0.00870886
+0.00983462
+0.0109919
+0.0122294
+0.0136453
+0.0149124
+0.0162258
+0.0170977
+0.0174216
+0.0179742
+0.0184831
+0.018376
+0.0181387
+0.0181644
+0.0183669
+0.0175281
+0.0165519
+0.015729
+0.0151476
+0.0147775
+0.0146248
+0.0147428
+0.0151246
+0.0155007
+0.0161016
+0.016837
+0.0174177
+0.0182446
+0.0192648
+0.0200384
+0.0207393
+0.0216391
+0.022677
+0.0215795
+0.0203151
+0.0192051
+0.0182849
+0.0175435
+0.0165729
+0.0155838
+0.0147218
+0.0135577
+0.0126607
+0.0120296
+0.011674
+0.0110825
+0.0108384
+0.0110326
+0.0116431
+0.0125426
+0.0137298
+0.0148492
+0.0128473
+0.0108523
+0.00886123
+0.00684809
+0.00483124
+0.00281573
+0.000804125
+-0.00123482
+-0.00115067
+0.000846383
+0.00288867
+0.00485113
+0.00688405
+0.00896134
+0.0110272
+0.0130205
+0.0150398
+0.0170829
+0.0191581
+0.0212565
+0.0233287
+0.0253998
+0.0347898
+0.032982
+0.0311746
+0.0293649
+0.027541
+0.0257457
+0.0239871
+0.0223051
+0.0206328
+0.0189908
+0.0174401
+0.0159576
+0.0144555
+0.0130475
+0.011671
+0.010459
+0.00940539
+0.00852818
+0.00761121
+0.00698829
+0.00672261
+0.00661381
+0.00686498
+0.00740926
+0.00805144
+0.00891246
+0.00996495
+0.0111126
+0.0123913
+0.0136341
+0.0149528
+0.0164282
+0.0177901
+0.0183096
+0.0186421
+0.0191734
+0.0195022
+0.0191676
+0.0189779
+0.0190025
+0.0191807
+0.0180045
+0.0170007
+0.0161894
+0.0156251
+0.0152768
+0.0151723
+0.0150683
+0.0152417
+0.0154024
+0.0155944
+0.0159363
+0.0165487
+0.017273
+0.0177452
+0.0182723
+0.0190384
+0.0199898
+0.0211065
+0.0223671
+0.0209254
+0.0195135
+0.0182561
+0.0170322
+0.0160073
+0.0151381
+0.0139322
+0.0129707
+0.012223
+0.0116822
+0.0111631
+0.0104722
+0.0102135
+0.0104194
+0.0110637
+0.0120067
+0.013242
+0.0147016
+0.0137383
+0.0117127
+0.00970442
+0.00773722
+0.00560374
+0.00353653
+0.00150402
+-0.000513556
+-0.00198481
+2.01558e-06
+0.00201372
+0.00409994
+0.00617279
+0.00812856
+0.0101591
+0.0122321
+0.01434
+0.0164045
+0.0184727
+0.0205537
+0.0226536
+0.0247624
+0.0338199
+0.0320163
+0.0302228
+0.0284456
+0.0266481
+0.024851
+0.0230756
+0.0213517
+0.0196884
+0.0180763
+0.0165105
+0.0150258
+0.0136786
+0.012257
+0.0110258
+0.00984124
+0.00888336
+0.00810233
+0.00751138
+0.00713106
+0.00686478
+0.0070485
+0.00751322
+0.00818064
+0.00913631
+0.0101214
+0.0112161
+0.0124375
+0.0137352
+0.0151079
+0.0164157
+0.017791
+0.0192744
+0.019533
+0.0199866
+0.020516
+0.0203448
+0.0200524
+0.0199257
+0.0199605
+0.0197723
+0.0186669
+0.0177007
+0.0169229
+0.0163839
+0.0159604
+0.0156259
+0.0153591
+0.0150221
+0.0148448
+0.0149305
+0.0152471
+0.0153358
+0.0155693
+0.0160227
+0.0166046
+0.0174377
+0.0184489
+0.0196532
+0.0203402
+0.0198659
+0.0190066
+0.0178085
+0.0167632
+0.0156542
+0.0146453
+0.0133951
+0.0123913
+0.0115903
+0.0108659
+0.01027
+0.00997043
+0.0100316
+0.0102411
+0.0108785
+0.0118293
+0.0130813
+0.0145571
+0.0145942
+0.0125252
+0.0104509
+0.00841727
+0.00640471
+0.00431205
+0.00225401
+0.000212144
+-0.00174047
+-0.000752036
+0.00120646
+0.00324349
+0.00530917
+0.00744375
+0.00948538
+0.011546
+0.0136286
+0.0157376
+0.0178414
+0.0199598
+0.0220923
+0.0242352
+0.0329326
+0.031102
+0.0292948
+0.0275357
+0.0257673
+0.024006
+0.0222625
+0.0205023
+0.0188263
+0.0172321
+0.0156443
+0.0141971
+0.0128399
+0.0116092
+0.0103764
+0.00939283
+0.00856656
+0.00793214
+0.0074651
+0.00730595
+0.00733528
+0.00763522
+0.00827587
+0.00911674
+0.0101684
+0.0113225
+0.0125948
+0.0137901
+0.0151242
+0.0165136
+0.0179485
+0.0192941
+0.0205905
+0.0208362
+0.0212666
+0.0218522
+0.0213581
+0.0210589
+0.0209662
+0.0210768
+0.0205213
+0.0195406
+0.018567
+0.0176538
+0.016962
+0.0164012
+0.0156319
+0.0149117
+0.0144717
+0.0143549
+0.0140522
+0.0138027
+0.0137416
+0.0140017
+0.0143907
+0.0150358
+0.0159511
+0.0170507
+0.0183085
+0.018351
+0.0178353
+0.0175333
+0.0170767
+0.0161131
+0.0152093
+0.0139728
+0.0128954
+0.0121153
+0.0109408
+0.0100229
+0.00952709
+0.00942041
+0.00952412
+0.0100298
+0.010955
+0.012005
+0.0132404
+0.0147002
+0.0153301
+0.0133081
+0.0112364
+0.00917513
+0.00717764
+0.00506029
+0.00297608
+0.000936506
+-0.00103558
+-0.00161749
+0.000421756
+0.00250815
+0.00462226
+0.0067085
+0.00881749
+0.0109286
+0.0130659
+0.0152169
+0.0173704
+0.0194971
+0.0216287
+0.0237645
+0.0320072
+0.0302339
+0.0284617
+0.0266556
+0.0249113
+0.0231886
+0.0214625
+0.0197533
+0.0180935
+0.0164489
+0.0149452
+0.0134883
+0.0121602
+0.0110685
+0.0099691
+0.00906035
+0.00840195
+0.00801594
+0.00781063
+0.00779198
+0.0080363
+0.00849544
+0.00920556
+0.0102126
+0.0113151
+0.0125269
+0.0138168
+0.0152306
+0.0165358
+0.0179392
+0.019379
+0.0208608
+0.0220461
+0.0222758
+0.0226786
+0.0229685
+0.0225185
+0.0222349
+0.0221472
+0.0222519
+0.0211196
+0.0198435
+0.0187374
+0.017833
+0.0171431
+0.0163374
+0.0154182
+0.0146423
+0.0141283
+0.0133788
+0.0127483
+0.0123447
+0.0123009
+0.0125044
+0.0129219
+0.0136368
+0.0145614
+0.0155685
+0.0164425
+0.0164132
+0.0158421
+0.0155067
+0.0154718
+0.0150186
+0.013972
+0.0131462
+0.0122799
+0.0112991
+0.0100221
+0.00907778
+0.00852991
+0.00852429
+0.00903304
+0.00988289
+0.0108206
+0.0120871
+0.0135908
+0.0151619
+0.0160972
+0.0140592
+0.0119743
+0.00988077
+0.00782624
+0.00577219
+0.00370912
+0.0016812
+-0.000413949
+-0.00213291
+-0.000168872
+0.00190912
+0.00405245
+0.00621047
+0.00835829
+0.0104659
+0.0126019
+0.014754
+0.0168514
+0.0189622
+0.0210852
+0.0232146
+0.0311567
+0.0293644
+0.0276104
+0.0258874
+0.0241259
+0.0223988
+0.0207101
+0.0190758
+0.0174083
+0.0158468
+0.0143492
+0.012935
+0.0116913
+0.0106254
+0.00972798
+0.00891675
+0.00847956
+0.0082465
+0.00826985
+0.00845377
+0.0088977
+0.00954866
+0.0103519
+0.0113812
+0.0125677
+0.013808
+0.0151369
+0.016509
+0.0179593
+0.019388
+0.0208286
+0.0222995
+0.0236156
+0.0238301
+0.0242068
+0.0241671
+0.0237406
+0.0234889
+0.0234226
+0.0228537
+0.0214914
+0.0202416
+0.0191585
+0.0182569
+0.0172773
+0.0162344
+0.0151855
+0.0143602
+0.01325
+0.0123945
+0.0115537
+0.0109617
+0.010698
+0.0108346
+0.0113416
+0.0119896
+0.0128402
+0.0138229
+0.0143976
+0.0145454
+0.0138978
+0.0135314
+0.0134913
+0.0137667
+0.0126172
+0.0116962
+0.011135
+0.0108105
+0.00947812
+0.00850883
+0.00794814
+0.00794211
+0.00847154
+0.00944936
+0.0107815
+0.0123063
+0.0137861
+0.0154293
+0.0167991
+0.0147318
+0.0126962
+0.010629
+0.0085394
+0.00636518
+0.00420288
+0.0020617
+-1.44682e-05
+-0.00168885
+-0.000571168
+0.00145087
+0.00360339
+0.00577932
+0.00787176
+0.00995611
+0.0120715
+0.0142025
+0.0163328
+0.0184087
+0.0205084
+0.0226254
+0.0303422
+0.0285811
+0.026812
+0.02508
+0.0233936
+0.0217286
+0.0200344
+0.0184072
+0.0168725
+0.0153088
+0.0138366
+0.0125559
+0.0113894
+0.0103741
+0.00954485
+0.00899518
+0.008678
+0.00864631
+0.00887864
+0.00925443
+0.00982665
+0.0106301
+0.0115947
+0.0126411
+0.0138807
+0.0151832
+0.0165046
+0.0178794
+0.0192942
+0.0207811
+0.0222903
+0.0237691
+0.0248975
+0.0254701
+0.0258305
+0.0254676
+0.0250632
+0.0240775
+0.0232257
+0.0225303
+0.0216069
+0.0208108
+0.0197804
+0.0186469
+0.0174048
+0.0161335
+0.0149402
+0.0135614
+0.012309
+0.0111708
+0.0101626
+0.00949809
+0.00920589
+0.00934102
+0.00967787
+0.0103045
+0.0112829
+0.0117305
+0.0124026
+0.0127619
+0.0120186
+0.0116334
+0.0115821
+0.0118684
+0.0113494
+0.010506
+0.0098774
+0.00967064
+0.0092778
+0.00837631
+0.00784807
+0.00784196
+0.00842346
+0.00941768
+0.0107613
+0.0123388
+0.0140813
+0.0158897
+0.0174898
+0.0153307
+0.0131821
+0.01105
+0.00893108
+0.00680674
+0.0047422
+0.00268389
+0.000638743
+-0.00121154
+-0.000904355
+0.00105746
+0.00309454
+0.00522101
+0.00738512
+0.00943394
+0.0115031
+0.0136104
+0.0157405
+0.0178852
+0.0200399
+0.0221696
+0.0295026
+0.0277864
+0.0260962
+0.0243562
+0.0226808
+0.0210417
+0.0194955
+0.0178796
+0.016351
+0.0149057
+0.0135395
+0.0122517
+0.011199
+0.010377
+0.00966474
+0.00919283
+0.00907283
+0.00919852
+0.00958699
+0.010191
+0.0108538
+0.011773
+0.0128124
+0.0140032
+0.015196
+0.0165691
+0.0179143
+0.0192861
+0.020708
+0.0221603
+0.023672
+0.0252343
+0.026162
+0.0267404
+0.0260512
+0.0247792
+0.0236193
+0.022589
+0.0216729
+0.0209153
+0.0200835
+0.0192261
+0.0185777
+0.0181343
+0.0170768
+0.0155714
+0.0142211
+0.0128108
+0.0114441
+0.0101262
+0.00902414
+0.00833388
+0.00801067
+0.00784322
+0.00810511
+0.00884393
+0.00929333
+0.00968175
+0.010486
+0.0111248
+0.0102635
+0.00980717
+0.0097517
+0.00983255
+0.00990388
+0.00916019
+0.00876643
+0.00847894
+0.00832016
+0.00814891
+0.00823991
+0.00828222
+0.00883687
+0.00979789
+0.0111056
+0.0126415
+0.0143474
+0.0161704
+0.0179542
+0.015828
+0.0137222
+0.0116477
+0.0096141
+0.00747169
+0.00531755
+0.00320866
+0.00115668
+-0.000754013
+-0.00140291
+0.000587099
+0.00260099
+0.00466346
+0.00677306
+0.00891977
+0.011076
+0.0131822
+0.0152558
+0.0173582
+0.0194801
+0.0216157
+0.0287108
+0.027
+0.02534
+0.0236927
+0.0220547
+0.0204343
+0.0188856
+0.017439
+0.016027
+0.0146281
+0.01334
+0.0122056
+0.0111821
+0.0104122
+0.00982142
+0.00953605
+0.00954463
+0.00982419
+0.0103795
+0.0111189
+0.0120284
+0.0129534
+0.0140684
+0.0152819
+0.0165665
+0.0178881
+0.019315
+0.020736
+0.0221518
+0.0236044
+0.0250625
+0.0266016
+0.0275146
+0.0262236
+0.0248337
+0.0234935
+0.0222502
+0.0211209
+0.0201236
+0.0192847
+0.0184817
+0.0177204
+0.0170529
+0.0165661
+0.0163606
+0.0151549
+0.0136976
+0.0121412
+0.0105925
+0.00925438
+0.00811894
+0.00728158
+0.00669428
+0.00656855
+0.006863
+0.00731667
+0.00723955
+0.00771142
+0.0086998
+0.00949504
+0.00857859
+0.00804521
+0.00774277
+0.00770564
+0.00779644
+0.00789837
+0.00745297
+0.00731159
+0.00749604
+0.00731563
+0.0076601
+0.00856937
+0.00965293
+0.0105964
+0.0118423
+0.0132933
+0.0149248
+0.0166849
+0.0182204
+0.0162174
+0.0142362
+0.0122049
+0.010091
+0.00796536
+0.005814
+0.00367898
+0.001619
+-0.000277598
+-0.00169553
+9.96912e-05
+0.00214575
+0.00421785
+0.00630813
+0.00836471
+0.0104758
+0.0126087
+0.0147499
+0.0169037
+0.0190659
+0.0212339
+0.0280364
+0.0262956
+0.0246267
+0.0230006
+0.0214547
+0.0199248
+0.0183933
+0.0169615
+0.0156864
+0.0145183
+0.0132919
+0.0122472
+0.0113768
+0.0106898
+0.010307
+0.0100626
+0.0101825
+0.0106594
+0.0112968
+0.0121005
+0.0130789
+0.0141685
+0.0153692
+0.0166007
+0.0179216
+0.0192758
+0.020678
+0.022154
+0.0236201
+0.0250728
+0.0265464
+0.0280066
+0.0267102
+0.0251743
+0.0237226
+0.0222874
+0.0209563
+0.0197599
+0.0187027
+0.017692
+0.0168614
+0.0161392
+0.0154601
+0.0150075
+0.0147351
+0.0140975
+0.0134073
+0.0116954
+0.0100784
+0.00860707
+0.00724581
+0.00621938
+0.00563199
+0.00519344
+0.00541661
+0.00540159
+0.00529605
+0.00589864
+0.00708745
+0.00792126
+0.00695197
+0.00625238
+0.00557976
+0.00562787
+0.00575158
+0.00661849
+0.00621497
+0.00609445
+0.00660677
+0.00701027
+0.00736951
+0.00830386
+0.00965287
+0.0112382
+0.012871
+0.0142554
+0.0157878
+0.0174611
+0.0185622
+0.0165508
+0.0145774
+0.0126573
+0.0105459
+0.0084412
+0.00629031
+0.00417775
+0.00204548
+-1.75251e-05
+-0.0013925
+-0.000302071
+0.00160926
+0.00368836
+0.00582505
+0.00798202
+0.0101534
+0.012279
+0.0143918
+0.0165249
+0.0186714
+0.020827
+0.027448
+0.025736
+0.0240346
+0.0224116
+0.0208492
+0.019384
+0.0180218
+0.0166713
+0.015387
+0.014277
+0.0133623
+0.0125134
+0.0116844
+0.0111319
+0.0108146
+0.0108322
+0.0110895
+0.0115629
+0.012273
+0.0131602
+0.014199
+0.0153781
+0.0165866
+0.0178934
+0.0192647
+0.0206665
+0.0220875
+0.0235283
+0.0250332
+0.0265524
+0.0280311
+0.0275052
+0.0258427
+0.024252
+0.0227007
+0.0212137
+0.0197992
+0.0185207
+0.0173347
+0.0162249
+0.015313
+0.0145957
+0.0138523
+0.0133343
+0.0127379
+0.01205
+0.0115989
+0.0110996
+0.00987846
+0.00815705
+0.00670505
+0.00570028
+0.00461919
+0.00415311
+0.00395964
+0.00371126
+0.00352499
+0.00422193
+0.00522828
+0.00587388
+0.00561364
+0.00440995
+0.00345185
+0.00353564
+0.00386976
+0.00505807
+0.00487731
+0.00471535
+0.00534963
+0.0064742
+0.00745238
+0.00856724
+0.00988532
+0.0114375
+0.0131342
+0.0149098
+0.0165972
+0.0183499
+0.0188617
+0.0168488
+0.0148784
+0.0129707
+0.0110594
+0.00891023
+0.00673392
+0.00456844
+0.00242928
+0.000359794
+-0.00119374
+-0.000679365
+0.00123577
+0.00330675
+0.00538522
+0.0075204
+0.0096804
+0.0118517
+0.014029
+0.0162099
+0.0182911
+0.020318
+0.0269227
+0.0252452
+0.0235983
+0.0219787
+0.0204171
+0.0189417
+0.0175936
+0.0163951
+0.0152888
+0.0142308
+0.0133117
+0.0126496
+0.0121174
+0.0116734
+0.0115283
+0.0116812
+0.0120653
+0.0126058
+0.0133623
+0.0142808
+0.0153722
+0.0165561
+0.0178195
+0.0191679
+0.0205477
+0.0220218
+0.0234657
+0.0249648
+0.0264344
+0.0279463
+0.0286004
+0.0268214
+0.0251037
+0.023465
+0.0218422
+0.0202769
+0.0188046
+0.0174024
+0.0160901
+0.0149206
+0.0139079
+0.012975
+0.0121905
+0.0115859
+0.0108111
+0.0100623
+0.009561
+0.00903571
+0.00872182
+0.00822455
+0.00677934
+0.00530446
+0.0041107
+0.00356406
+0.00284164
+0.00202689
+0.00192434
+0.00237846
+0.00312334
+0.00370179
+0.00354776
+0.00293904
+0.00145646
+0.00160293
+0.00246512
+0.00393759
+0.00333251
+0.003357
+0.00414414
+0.00547759
+0.00707221
+0.00868853
+0.0100872
+0.0115841
+0.0132622
+0.0150281
+0.0168233
+0.0185821
+0.0191879
+0.0171708
+0.0151997
+0.0132976
+0.011388
+0.0092804
+0.00710518
+0.00494207
+0.00278958
+0.000694469
+-0.00102765
+-0.00104318
+0.000796033
+0.00291464
+0.00506763
+0.00724228
+0.00938511
+0.011509
+0.0136541
+0.0157432
+0.0177526
+0.0197678
+0.0264843
+0.0248367
+0.023238
+0.021682
+0.0201321
+0.0186956
+0.0173508
+0.0161548
+0.0151606
+0.0142961
+0.0135277
+0.0129244
+0.0126273
+0.0124274
+0.0123196
+0.0125212
+0.0130105
+0.013741
+0.0145376
+0.0155282
+0.016584
+0.0178092
+0.0190779
+0.0204191
+0.0218658
+0.0233051
+0.02482
+0.026327
+0.0278562
+0.0293647
+0.0280202
+0.0262628
+0.024519
+0.0228165
+0.021098
+0.0194739
+0.0179364
+0.016457
+0.0150626
+0.0137798
+0.0125046
+0.0114067
+0.0105016
+0.00983354
+0.00896514
+0.00814569
+0.00755456
+0.00703458
+0.00664468
+0.00655002
+0.00644154
+0.00557561
+0.00401468
+0.00297446
+0.00158849
+0.00068997
+0.000353822
+0.000924986
+0.0011713
+0.00157822
+0.00170555
+0.00188432
+0.000114505
+0.000593023
+0.00209572
+0.00273069
+0.00208147
+0.0024232
+0.00355531
+0.00495668
+0.00677263
+0.00873218
+0.0105184
+0.0120324
+0.013666
+0.0153981
+0.0171897
+0.0190368
+0.0195726
+0.0175564
+0.0155848
+0.0136471
+0.0117364
+0.00968282
+0.00753668
+0.00537506
+0.00324787
+0.00117237
+-0.000813326
+-0.00146798
+0.000527173
+0.00256053
+0.00468481
+0.00684393
+0.00901827
+0.011199
+0.0132893
+0.0152658
+0.0172924
+0.0193323
+0.026163
+0.024534
+0.0229558
+0.021465
+0.0200112
+0.0186015
+0.017301
+0.016141
+0.0151516
+0.0144199
+0.0138528
+0.0133988
+0.0131838
+0.0131556
+0.0132436
+0.0135727
+0.0140375
+0.014732
+0.015671
+0.016706
+0.0178598
+0.0191013
+0.0204087
+0.0217462
+0.0231418
+0.0246234
+0.0261214
+0.0276668
+0.0292366
+0.0293974
+0.0275635
+0.02577
+0.0239833
+0.0221642
+0.0204046
+0.0187349
+0.0171299
+0.0155838
+0.0141047
+0.0126459
+0.0112359
+0.00994139
+0.00886767
+0.00818335
+0.00725174
+0.00638976
+0.00567821
+0.00515805
+0.00467115
+0.00447303
+0.00444484
+0.00417313
+0.00455745
+0.00279822
+0.0013467
+0.000164609
+-0.000988401
+-0.000675593
+-0.000339989
+-0.000152208
+-0.000105977
+0.00013142
+-0.00108244
+-0.000415647
+0.00144816
+0.00142785
+0.00103403
+0.00182941
+0.00300468
+0.00446069
+0.00626695
+0.00826024
+0.0103225
+0.0124202
+0.013845
+0.0151252
+0.0165907
+0.0182025
+0.0199164
+0.0179926
+0.0160138
+0.0140797
+0.0122325
+0.0101578
+0.00807322
+0.00594827
+0.00377738
+0.0016172
+-0.000484129
+-0.00187788
+0.000132903
+0.00221979
+0.0043624
+0.00651661
+0.00867871
+0.0108269
+0.0128925
+0.0148491
+0.0168576
+0.0189065
+0.0259431
+0.0243597
+0.0228063
+0.0213304
+0.0199619
+0.0186883
+0.0174563
+0.0163616
+0.0154023
+0.0146831
+0.0141938
+0.0139932
+0.0138493
+0.013912
+0.014199
+0.0146121
+0.0151897
+0.0159082
+0.0168219
+0.0178903
+0.0190596
+0.0203382
+0.0217322
+0.0231217
+0.0245157
+0.0259395
+0.0274461
+0.0289872
+0.0305476
+0.0291158
+0.0272494
+0.025385
+0.0235616
+0.0216945
+0.0198935
+0.0181372
+0.016472
+0.0147951
+0.0131574
+0.0114957
+0.00999938
+0.00863919
+0.00748181
+0.00670002
+0.0058045
+0.00481436
+0.00398032
+0.00351891
+0.00280009
+0.00251893
+0.00266436
+0.00228856
+0.00328923
+0.00381384
+0.00228288
+0.000681044
+-0.000959422
+-0.00182778
+-0.0017823
+-0.00140345
+-0.00186662
+-0.00200941
+-0.00251629
+-0.001622
+-0.000393126
+-0.000209674
+-0.000172425
+0.000442763
+0.00194123
+0.00378779
+0.00582578
+0.00793074
+0.0100608
+0.0116349
+0.012809
+0.014183
+0.0157365
+0.0174275
+0.0190396
+0.0185014
+0.0165423
+0.014641
+0.0127415
+0.0106025
+0.00846732
+0.0063051
+0.00417193
+0.00204454
+-2.66232e-05
+-0.00192074
+-0.00028243
+0.00184895
+0.00390517
+0.00600741
+0.00815286
+0.0103174
+0.012491
+0.0145428
+0.0165201
+0.0185435
+0.0257568
+0.0242042
+0.0227567
+0.0213717
+0.0200055
+0.0187958
+0.0176745
+0.0166676
+0.0158973
+0.0152073
+0.014768
+0.0146079
+0.0145912
+0.0147816
+0.0151299
+0.0157328
+0.01638
+0.0171973
+0.0181125
+0.0191554
+0.0203242
+0.021597
+0.0229488
+0.024391
+0.0259021
+0.02734
+0.0287848
+0.0303092
+0.0308945
+0.0289837
+0.0270616
+0.0251833
+0.023327
+0.0214394
+0.0195876
+0.0177908
+0.0160167
+0.0142675
+0.0123793
+0.0106037
+0.00892184
+0.00739765
+0.00618615
+0.00525323
+0.00457173
+0.00370746
+0.00275592
+0.00210571
+0.00124163
+0.000824285
+0.0010132
+0.000887874
+0.00188671
+0.00296054
+0.00203037
+-0.00011115
+-0.00216282
+-0.00321897
+-0.00376493
+-0.00346782
+-0.00367462
+-0.00410421
+-0.00429894
+-0.0033412
+-0.00234031
+-0.00141002
+-0.00108047
+0.000343057
+0.00200742
+0.00375852
+0.00579611
+0.00791589
+0.00957248
+0.0104969
+0.0117617
+0.013084
+0.0145154
+0.0161183
+0.0178466
+0.0191116
+0.0171856
+0.015296
+0.0131928
+0.0110719
+0.00894462
+0.00675753
+0.00457384
+0.0023984
+0.000225019
+-0.00183309
+-0.000810766
+0.00137436
+0.00356331
+0.00575268
+0.00794212
+0.0100413
+0.0120232
+0.0140189
+0.0160584
+0.0181274
+0.0256603
+0.0241579
+0.0227349
+0.0214126
+0.0202339
+0.0190639
+0.0180154
+0.0170988
+0.0163274
+0.0157726
+0.0154707
+0.0154171
+0.0154161
+0.0157191
+0.0161709
+0.0167844
+0.0175696
+0.0184745
+0.0194238
+0.0204981
+0.0216452
+0.0228966
+0.0242493
+0.0256681
+0.0271427
+0.0286935
+0.0302036
+0.0316774
+0.0309228
+0.0289637
+0.0270402
+0.0251604
+0.0232818
+0.0213671
+0.019498
+0.0176598
+0.0157946
+0.0139062
+0.0119329
+0.00998056
+0.0081419
+0.00645612
+0.00505525
+0.00401088
+0.00323619
+0.00277769
+0.00218252
+0.00127524
+0.000422824
+-0.000285413
+-0.00035189
+-0.000184565
+0.000596373
+0.00135026
+0.00055535
+-0.000475271
+-0.00252163
+-0.00434965
+-0.00549593
+-0.00538042
+-0.00564221
+-0.00614565
+-0.00626296
+-0.00519657
+-0.00414376
+-0.0031253
+-0.00105233
+0.000455969
+0.00200087
+0.00377413
+0.00581567
+0.00747174
+0.00830301
+0.00921909
+0.0103243
+0.0116954
+0.0132773
+0.015013
+0.016855
+0.0187105
+0.0178768
+0.0157033
+0.0135352
+0.0113758
+0.00923116
+0.00709632
+0.00492942
+0.00277916
+0.000650242
+-0.001496
+-0.00108855
+0.00101759
+0.00311957
+0.00526504
+0.0074369
+0.0096173
+0.0116154
+0.013655
+0.015616
+0.0176116
+0.0256109
+0.0241575
+0.0228222
+0.0215796
+0.0204138
+0.0194083
+0.0184677
+0.0176831
+0.0169991
+0.0164995
+0.0162112
+0.0161963
+0.0164158
+0.0167006
+0.0172433
+0.0179168
+0.0187303
+0.0196824
+0.0207821
+0.0218621
+0.0229996
+0.024273
+0.0255857
+0.0269817
+0.0284537
+0.029962
+0.0315323
+0.033024
+0.0310429
+0.0290918
+0.0271768
+0.0252757
+0.0233616
+0.0214813
+0.0196006
+0.0176907
+0.0157761
+0.0137594
+0.0117476
+0.00975824
+0.00786346
+0.00610003
+0.00450166
+0.00322911
+0.00241761
+0.00194988
+0.00148968
+0.0012263
+0.000485683
+-0.000478718
+-0.000650208
+-0.000621944
+-0.00056111
+-0.00010445
+-0.000930695
+-0.00166447
+-0.00344777
+-0.00535904
+-0.00698099
+-0.00734154
+-0.00759327
+-0.00798868
+-0.00820012
+-0.00715056
+-0.00568367
+-0.00389884
+-0.00184489
+0.00022519
+0.0018537
+0.00363458
+0.00533588
+0.00605856
+0.00677529
+0.00777038
+0.00904217
+0.0105484
+0.0121686
+0.0139441
+0.0158241
+0.0177754
+0.0182546
+0.0160991
+0.0139489
+0.0117985
+0.00964141
+0.00746478
+0.00529963
+0.0031437
+0.00099032
+-0.00115927
+-0.0014354
+0.000713639
+0.00288137
+0.00506362
+0.00725008
+0.00923441
+0.0112468
+0.0132211
+0.0152077
+0.0172229
+0.02573
+0.0242912
+0.0229637
+0.021776
+0.0207522
+0.0198424
+0.018956
+0.0182605
+0.017729
+0.0172879
+0.0171028
+0.0171648
+0.0174057
+0.0178819
+0.0184064
+0.0191301
+0.0199577
+0.0209355
+0.0220132
+0.0232116
+0.024402
+0.0256063
+0.0269352
+0.0283585
+0.0297858
+0.0312793
+0.0328282
+0.0332719
+0.0313058
+0.0293716
+0.0274625
+0.0255244
+0.0236305
+0.0217671
+0.0198268
+0.0179245
+0.0159404
+0.013936
+0.0119066
+0.00994597
+0.00807569
+0.00624687
+0.00461843
+0.00337782
+0.0025057
+0.0019495
+0.00131763
+0.000555859
+4.54572e-05
+-0.000684561
+-0.00120393
+-0.00165797
+-0.00201141
+-0.00175215
+-0.00162692
+-0.00261036
+-0.00430723
+-0.0061906
+-0.00815522
+-0.00940456
+-0.00960726
+-0.00993697
+-0.0100728
+-0.00859192
+-0.00667507
+-0.00466636
+-0.00278058
+-0.000928032
+0.000911491
+0.00262322
+0.00397511
+0.00478284
+0.005503
+0.00637085
+0.00772104
+0.00931586
+0.0111154
+0.0130352
+0.0150293
+0.0170717
+0.0186226
+0.0164591
+0.0142958
+0.0121423
+0.00999663
+0.0078113
+0.0056301
+0.00346077
+0.00130321
+-0.000841229
+-0.0016662
+0.000510622
+0.00266299
+0.00478828
+0.00695139
+0.00911534
+0.0110159
+0.0129448
+0.0148529
+0.0168281
+0.0259626
+0.0245679
+0.0232839
+0.0221134
+0.021106
+0.0202861
+0.0195811
+0.0189087
+0.0184516
+0.0182134
+0.0180615
+0.0181503
+0.0184668
+0.0189701
+0.0196698
+0.02043
+0.0212833
+0.0222212
+0.0233191
+0.0245079
+0.0257735
+0.027051
+0.0283122
+0.0296817
+0.0311452
+0.032643
+0.0341521
+0.0336595
+0.0317175
+0.02981
+0.0278644
+0.0259563
+0.0240964
+0.0221884
+0.0202758
+0.0183445
+0.0163556
+0.0143933
+0.0124387
+0.0105714
+0.00868649
+0.00697539
+0.00553252
+0.00446247
+0.00369343
+0.00273007
+0.00134821
+0.000234042
+-0.000347895
+-0.000570797
+-0.00122129
+-0.00190323
+-0.00240918
+-0.00291361
+-0.00316157
+-0.00411509
+-0.00545017
+-0.00709478
+-0.00897322
+-0.0109312
+-0.011681
+-0.0119694
+-0.0115413
+-0.00956478
+-0.00764089
+-0.00583628
+-0.0039246
+-0.00210599
+-0.00028811
+0.00122704
+0.00247215
+0.00338735
+0.00407866
+0.00513199
+0.00668527
+0.0084771
+0.0104225
+0.0124496
+0.0145243
+0.0166288
+0.0186949
+0.0167823
+0.0146204
+0.0124635
+0.010321
+0.00815024
+0.00598608
+0.00384193
+0.00171876
+-0.000409905
+-0.00191933
+0.000198435
+0.00224299
+0.00429494
+0.00642784
+0.00858062
+0.0106856
+0.0125637
+0.0145296
+0.0165389
+0.0263369
+0.0249855
+0.0237361
+0.0226028
+0.0216169
+0.0208156
+0.0202209
+0.0197266
+0.019343
+0.019121
+0.0191486
+0.0192542
+0.0195846
+0.0201157
+0.0208232
+0.0216712
+0.0225707
+0.023615
+0.0246631
+0.0258431
+0.027113
+0.028438
+0.0297868
+0.0310914
+0.0324914
+0.0339739
+0.0355221
+0.0341834
+0.032273
+0.0303405
+0.0284299
+0.0265624
+0.0246945
+0.0228063
+0.0208792
+0.0189619
+0.0170311
+0.0151427
+0.0132703
+0.011432
+0.00971044
+0.00819126
+0.00693484
+0.00607401
+0.00510305
+0.00366473
+0.00259264
+0.00182439
+0.00135725
+0.000927831
+0.000155783
+-0.000863697
+-0.00180964
+-0.00252008
+-0.00297838
+-0.00418436
+-0.00572981
+-0.00752254
+-0.00940423
+-0.0113594
+-0.013321
+-0.0140494
+-0.0125063
+-0.0106068
+-0.00879527
+-0.00696168
+-0.00508547
+-0.00320077
+-0.00160935
+-1.04353e-05
+0.00130471
+0.00208762
+0.00291639
+0.00421977
+0.00594732
+0.00787813
+0.00991515
+0.0120064
+0.0141278
+0.016082
+0.0180351
+0.017154
+0.0150084
+0.0128668
+0.0107419
+0.00861994
+0.00645647
+0.00431945
+0.00220419
+0.000108849
+-0.00165413
+-0.000265208
+0.00179931
+0.00390289
+0.00603631
+0.00819686
+0.0103538
+0.0122669
+0.0142351
+0.0162033
+0.0267675
+0.0254536
+0.0242634
+0.0231847
+0.0222696
+0.0215285
+0.020955
+0.0204346
+0.0201248
+0.0200234
+0.0201422
+0.0204284
+0.0208013
+0.0213291
+0.022025
+0.0229016
+0.0238852
+0.0249048
+0.0260538
+0.0272186
+0.028459
+0.0298078
+0.0311762
+0.0325859
+0.0339258
+0.0353482
+0.0367421
+0.0348248
+0.0329221
+0.0310158
+0.0291494
+0.0273067
+0.0254468
+0.023549
+0.021688
+0.0197915
+0.0179403
+0.0161121
+0.0143219
+0.0126145
+0.0110534
+0.00969758
+0.00864119
+0.0078424
+0.00640032
+0.00521675
+0.00436388
+0.00369741
+0.00324183
+0.00227912
+0.00095672
+-0.000179276
+-0.00120882
+-0.00200436
+-0.0028461
+-0.00434605
+-0.00607299
+-0.00768859
+-0.00953336
+-0.0114696
+-0.013484
+-0.0146833
+-0.0128161
+-0.0109903
+-0.00914488
+-0.00733416
+-0.00553528
+-0.00377343
+-0.00214018
+-0.000924994
+0.00033271
+0.001351
+0.00209688
+0.00358696
+0.00551612
+0.0075554
+0.00966071
+0.0117736
+0.0136331
+0.015579
+0.0175825
+0.0176246
+0.0154796
+0.0133492
+0.0112277
+0.00905526
+0.00688253
+0.00472641
+0.00262056
+0.000630485
+-0.00105835
+-0.000555676
+0.00157089
+0.00369879
+0.00579565
+0.0079301
+0.0100887
+0.0120321
+0.0139132
+0.0158293
+0.0272812
+0.0260198
+0.0248598
+0.0238191
+0.0229139
+0.0221609
+0.0216047
+0.021229
+0.0209867
+0.0209159
+0.0210412
+0.02138
+0.0218891
+0.0225176
+0.0232787
+0.024143
+0.0251097
+0.0262229
+0.0273705
+0.0285752
+0.0298718
+0.0311595
+0.0325438
+0.0339763
+0.0354025
+0.0368016
+0.0374549
+0.035576
+0.0336882
+0.0318278
+0.0300107
+0.0281598
+0.0263129
+0.0244619
+0.02262
+0.0207903
+0.0190196
+0.0172723
+0.0155933
+0.0140163
+0.0125985
+0.0114217
+0.0105202
+0.00924691
+0.00800963
+0.0070155
+0.00634571
+0.00569891
+0.00498005
+0.00359464
+0.00223752
+0.000855179
+-0.000599405
+-0.0016821
+-0.0029223
+-0.00451787
+-0.00638357
+-0.00812198
+-0.0100295
+-0.0119145
+-0.0138644
+-0.0149599
+-0.0130666
+-0.0111524
+-0.00931587
+-0.00766764
+-0.00601311
+-0.00440551
+-0.00287732
+-0.00163567
+-0.000469544
+0.000515937
+0.00136841
+0.00314271
+0.00523812
+0.00733974
+0.00928535
+0.0113208
+0.0133919
+0.0153683
+0.0173961
+0.0180229
+0.0158684
+0.0137159
+0.0115721
+0.00944997
+0.00736803
+0.00521758
+0.00311187
+0.00109877
+-0.000462867
+-0.00059153
+0.00118653
+0.00331824
+0.00544807
+0.00757191
+0.00967168
+0.0116513
+0.0135296
+0.0154781
+0.0279421
+0.0266992
+0.0255701
+0.0245646
+0.0236969
+0.0229696
+0.0224335
+0.0220719
+0.0219128
+0.0218898
+0.0220407
+0.0223844
+0.0229135
+0.0236011
+0.0244019
+0.0252948
+0.02634
+0.027482
+0.0286783
+0.0299229
+0.0311826
+0.0325358
+0.0339279
+0.0353255
+0.0367922
+0.0382619
+0.0382799
+0.0364282
+0.0345763
+0.0327562
+0.0309444
+0.0291425
+0.0272894
+0.0254899
+0.0236887
+0.0219483
+0.0202642
+0.0186001
+0.0170273
+0.0155756
+0.0143131
+0.013274
+0.0121982
+0.0108731
+0.00976444
+0.00892447
+0.00832957
+0.00760492
+0.0064974
+0.00510967
+0.00361697
+0.00215561
+0.000826734
+-0.000348833
+-0.00187832
+-0.00384273
+-0.00593431
+-0.00806867
+-0.00999662
+-0.012007
+-0.0140392
+-0.0154734
+-0.0135485
+-0.0116933
+-0.00995707
+-0.00824199
+-0.00671798
+-0.00533471
+-0.00398029
+-0.00253941
+-0.00147203
+-0.000173292
+0.000862869
+0.00249002
+0.0043988
+0.00648823
+0.00862803
+0.0106784
+0.0127577
+0.014869
+0.0170004
+0.018427
+0.0163007
+0.0141537
+0.0120225
+0.00991717
+0.00780207
+0.00569348
+0.003676
+0.00174792
+0.000252097
+-0.000144925
+0.000932314
+0.00295874
+0.00507159
+0.00715001
+0.0092722
+0.0113608
+0.0132359
+0.0151773
+0.0286834
+0.0274814
+0.0263857
+0.0254212
+0.0246021
+0.0239519
+0.0234383
+0.0230924
+0.0229404
+0.022997
+0.0231563
+0.0235041
+0.0240296
+0.024709
+0.0255311
+0.0264486
+0.0274701
+0.0286174
+0.0298549
+0.0311333
+0.0325001
+0.0338728
+0.0352588
+0.0366973
+0.0381512
+0.0396344
+0.0392101
+0.0373726
+0.035556
+0.0337798
+0.0319922
+0.03017
+0.0283841
+0.026632
+0.0249046
+0.0232555
+0.0216303
+0.0200649
+0.0185922
+0.0172725
+0.0161346
+0.0151978
+0.0138266
+0.0126291
+0.011658
+0.0108828
+0.0103198
+0.00944898
+0.00810649
+0.00660511
+0.00515024
+0.00374762
+0.00251783
+0.000805037
+-0.00120662
+-0.00321559
+-0.00526987
+-0.00721842
+-0.00923678
+-0.0113159
+-0.0132332
+-0.0146797
+-0.0142271
+-0.0122997
+-0.0104763
+-0.00875262
+-0.0072634
+-0.00607108
+-0.00500443
+-0.00383005
+-0.002675
+-0.00173702
+-0.000186965
+0.00188876
+0.00407034
+0.00612389
+0.00819468
+0.0103094
+0.0124504
+0.0146062
+0.016771
+0.0188967
+0.0167779
+0.0146455
+0.012521
+0.010424
+0.00837495
+0.00630044
+0.00427301
+0.00238702
+0.000898897
+8.72812e-05
+0.00093455
+0.00276027
+0.00482696
+0.00689139
+0.0090065
+0.0110803
+0.0130681
+0.0150034
+0.0294805
+0.028379
+0.0273529
+0.0264125
+0.0256113
+0.0249772
+0.0245229
+0.0242391
+0.0240943
+0.0241482
+0.0243586
+0.0247304
+0.0252633
+0.0259202
+0.0267387
+0.0276492
+0.0286559
+0.0297594
+0.030977
+0.0322827
+0.0336695
+0.0350827
+0.0365515
+0.0380342
+0.0394923
+0.0410157
+0.040209
+0.0384015
+0.0366359
+0.0348737
+0.03309
+0.0313173
+0.0296007
+0.0278918
+0.0262474
+0.0246774
+0.0231181
+0.0216319
+0.0202734
+0.0190687
+0.0180355
+0.0168304
+0.01558
+0.0144796
+0.0136408
+0.0128986
+0.0122292
+0.0110969
+0.00965827
+0.00819813
+0.00677988
+0.005501
+0.00348935
+0.00145655
+-0.00043111
+-0.00232893
+-0.00439852
+-0.00653276
+-0.00869504
+-0.010532
+-0.0120201
+-0.0133957
+-0.014405
+-0.0127444
+-0.0109673
+-0.00930012
+-0.00785353
+-0.006765
+-0.00618282
+-0.00536808
+-0.004372
+-0.00239223
+-0.000215281
+0.0019395
+0.00392448
+0.00583128
+0.00782459
+0.00986329
+0.0119559
+0.0140735
+0.016166
+0.0182816
+0.0172775
+0.0152052
+0.0131077
+0.0110374
+0.00898885
+0.00692959
+0.00492247
+0.00306873
+0.00158634
+0.000720141
+0.00110885
+0.00259283
+0.00452701
+0.00657985
+0.00864349
+0.0107402
+0.0128682
+0.0149337
+0.0304147
+0.0293492
+0.0283913
+0.0275109
+0.0267406
+0.0261317
+0.0256778
+0.0253681
+0.0252297
+0.0252812
+0.0255213
+0.0259448
+0.0264735
+0.0271684
+0.0280115
+0.0289026
+0.0298989
+0.0309972
+0.0321843
+0.0334572
+0.0348108
+0.0362334
+0.0377234
+0.0392185
+0.0407716
+0.0423296
+0.0412835
+0.0395252
+0.0377894
+0.0360397
+0.0342796
+0.0325717
+0.0309007
+0.0292615
+0.0276986
+0.0261791
+0.0246861
+0.0232997
+0.0220442
+0.0209329
+0.0198526
+0.0185651
+0.0173955
+0.0164139
+0.0156363
+0.0149454
+0.0140714
+0.0126806
+0.0112589
+0.00984097
+0.00834799
+0.00640195
+0.00437761
+0.00233471
+0.000281273
+-0.00181675
+-0.00381874
+-0.00591469
+-0.00781147
+-0.00939687
+-0.0106102
+-0.0120083
+-0.0127773
+-0.011939
+-0.0110808
+-0.00996357
+-0.00876902
+-0.00789274
+-0.00742314
+-0.00677577
+-0.00462213
+-0.00253287
+-0.000701027
+0.000955241
+0.00295923
+0.00507393
+0.00716117
+0.00926093
+0.011395
+0.0135465
+0.0157016
+0.0178631
+0.0178083
+0.0156708
+0.0135502
+0.0114561
+0.00940596
+0.00740992
+0.00544898
+0.00363963
+0.00215559
+0.00120791
+0.00139433
+0.00272122
+0.00447345
+0.00645062
+0.00838658
+0.0103812
+0.0124419
+0.0145164
+0.0314209
+0.0304298
+0.029507
+0.0287123
+0.0279751
+0.0273732
+0.0269249
+0.0266297
+0.026498
+0.026547
+0.0267758
+0.0271743
+0.0277125
+0.0284098
+0.0292549
+0.0301592
+0.0311461
+0.0322315
+0.0334172
+0.0346761
+0.0360084
+0.0373845
+0.0388355
+0.0403533
+0.0419307
+0.0435109
+0.042444
+0.0407321
+0.0390063
+0.0372639
+0.0355644
+0.0339213
+0.0322915
+0.0307265
+0.029242
+0.0277501
+0.0263428
+0.0250482
+0.0238804
+0.0228549
+0.0215708
+0.0203653
+0.0192863
+0.0184059
+0.0176426
+0.0169428
+0.0157324
+0.0143188
+0.0129036
+0.0112709
+0.00920777
+0.00704788
+0.0049126
+0.00285643
+0.000968967
+-0.00103155
+-0.00301346
+-0.00495045
+-0.00656246
+-0.00793339
+-0.00926831
+-0.0107501
+-0.0113408
+-0.010392
+-0.00962619
+-0.00872564
+-0.00764419
+-0.00675703
+-0.00640945
+-0.00677653
+-0.00552987
+-0.00371934
+-0.00165339
+0.000429176
+0.00245412
+0.00458064
+0.00674819
+0.00892703
+0.0111105
+0.0132964
+0.0154836
+0.0176717
+0.018234
+0.0161134
+0.0140062
+0.0119233
+0.00988695
+0.00793334
+0.00600462
+0.00423732
+0.00283637
+0.00174221
+0.00201603
+0.00292921
+0.00435111
+0.00612577
+0.00808334
+0.0100128
+0.0120189
+0.014073
+0.0321448
+0.0313484
+0.030666
+0.0299372
+0.0292962
+0.028714
+0.0282737
+0.0279786
+0.0278531
+0.0278997
+0.0281174
+0.0285023
+0.0290182
+0.0296848
+0.0304946
+0.0314365
+0.0324186
+0.033461
+0.0346046
+0.0358458
+0.0371517
+0.0385361
+0.0399926
+0.041499
+0.0430345
+0.0446143
+0.0436835
+0.041978
+0.0402654
+0.0385738
+0.0369346
+0.0353332
+0.0337671
+0.0322672
+0.0308209
+0.0293973
+0.0280727
+0.0268616
+0.0257689
+0.0245925
+0.0233624
+0.0222194
+0.0212348
+0.0204385
+0.0196837
+0.0187993
+0.0173636
+0.0159633
+0.0138256
+0.0116953
+0.00959212
+0.007539
+0.00542589
+0.00330955
+0.00127876
+-0.000379497
+-0.00222451
+-0.00361938
+-0.00507458
+-0.0066947
+-0.0081677
+-0.00975661
+-0.00959769
+-0.00896973
+-0.00831017
+-0.00753372
+-0.00634396
+-0.00536954
+-0.00498879
+-0.00545212
+-0.0051939
+-0.00349679
+-0.00178899
+0.000304903
+0.00245102
+0.00461244
+0.00678759
+0.00897029
+0.0111561
+0.0133436
+0.0155319
+0.0177208
+0.0186811
+0.0166065
+0.014566
+0.0125585
+0.0105536
+0.00860057
+0.00675642
+0.00501234
+0.00347629
+0.00253514
+0.0025303
+0.00306292
+0.00421452
+0.00583263
+0.00766206
+0.00962675
+0.0116352
+0.0136938
+0.0329554
+0.0321933
+0.0315533
+0.0310306
+0.0306489
+0.0301351
+0.0297047
+0.0294239
+0.0293047
+0.029349
+0.029556
+0.0299223
+0.0304215
+0.031058
+0.0318329
+0.0327363
+0.0337488
+0.0347851
+0.0358866
+0.0370849
+0.0383705
+0.0397124
+0.0411274
+0.042608
+0.0441451
+0.0457273
+0.0449668
+0.0432806
+0.0415962
+0.0399609
+0.038381
+0.0368174
+0.0353046
+0.0338585
+0.0324601
+0.0311116
+0.0298631
+0.0287214
+0.0276311
+0.0263659
+0.025192
+0.02413
+0.0232266
+0.022453
+0.0217203
+0.0204245
+0.0185686
+0.016469
+0.0143864
+0.0122612
+0.0101442
+0.00805807
+0.00601245
+0.00407516
+0.00226034
+0.000370701
+-0.00125124
+-0.00242691
+-0.00386905
+-0.00547863
+-0.00725027
+-0.00880646
+-0.00797938
+-0.00721064
+-0.00676751
+-0.00601716
+-0.00512423
+-0.00381854
+-0.00333192
+-0.00399274
+-0.00379273
+-0.00215405
+-0.000562122
+0.00103517
+0.00291689
+0.00498215
+0.00710135
+0.00924325
+0.0113768
+0.0135286
+0.0156911
+0.0178606
+0.0193488
+0.0172558
+0.0151863
+0.0131561
+0.011178
+0.00927088
+0.0073954
+0.00565631
+0.00424109
+0.00334296
+0.00298459
+0.00335324
+0.00431876
+0.00580238
+0.00757843
+0.00950779
+0.0115299
+0.0136039
+0.0338406
+0.0330928
+0.0324758
+0.0319972
+0.0316561
+0.0314419
+0.031224
+0.030957
+0.0308437
+0.0308857
+0.0310825
+0.031419
+0.0318856
+0.0324935
+0.0332349
+0.0341012
+0.0350831
+0.0361457
+0.0372534
+0.0384091
+0.0396522
+0.0409576
+0.0423309
+0.0437709
+0.045271
+0.0468257
+0.0462971
+0.044629
+0.0429974
+0.0414175
+0.0398727
+0.0383517
+0.0368949
+0.0355136
+0.0341612
+0.0328826
+0.0317017
+0.0306248
+0.0293844
+0.0281857
+0.0270701
+0.0260847
+0.0252513
+0.0244852
+0.0232186
+0.0211178
+0.0190374
+0.0169847
+0.014969
+0.0129178
+0.0108883
+0.0089352
+0.00707828
+0.00523873
+0.00338645
+0.00180768
+0.000440836
+-0.000971948
+-0.00275067
+-0.0044872
+-0.00609657
+-0.0070945
+-0.00615489
+-0.0054888
+-0.00515102
+-0.004662
+-0.00374183
+-0.00233704
+-0.00169491
+-0.00272041
+-0.00240851
+-0.00074867
+0.00060909
+0.00167925
+0.00340364
+0.00537728
+0.00745656
+0.00958558
+0.0117373
+0.0138874
+0.0160271
+0.018179
+0.0198689
+0.0178451
+0.0158529
+0.0138247
+0.0117974
+0.00984041
+0.00800539
+0.00633767
+0.00499097
+0.00411768
+0.00367582
+0.00383961
+0.0047103
+0.00609307
+0.00774564
+0.0096045
+0.01148
+0.0133982
+0.0346929
+0.0339912
+0.0334186
+0.0329819
+0.0326737
+0.0324902
+0.0324298
+0.0325172
+0.0324519
+0.0324919
+0.0326791
+0.0329845
+0.0334293
+0.0340096
+0.0347186
+0.0355488
+0.0364917
+0.0375313
+0.0386234
+0.0397882
+0.0410105
+0.0422797
+0.0436114
+0.0450104
+0.0464706
+0.0479864
+0.0476702
+0.0460421
+0.0444625
+0.0429256
+0.0414054
+0.0399408
+0.0385442
+0.0372188
+0.0359154
+0.0347015
+0.0335729
+0.032418
+0.0311889
+0.0300408
+0.0289921
+0.0280742
+0.0272948
+0.0258431
+0.0237724
+0.0217253
+0.0197091
+0.0177016
+0.0157361
+0.0138216
+0.0119378
+0.0101263
+0.00827123
+0.00645543
+0.00488156
+0.00317296
+0.00162768
+0.000280813
+-0.00143014
+-0.00321227
+-0.00486954
+-0.00550176
+-0.00451536
+-0.00366824
+-0.00326292
+-0.00291819
+-0.0022506
+-0.00088775
+-0.000764216
+-0.0012702
+-0.000926835
+-1.29396e-05
+0.000401427
+0.00146421
+0.00327952
+0.0053452
+0.00746053
+0.00953372
+0.0116492
+0.0137882
+0.0159413
+0.0181034
+0.0202716
+0.0184108
+0.0163697
+0.0143726
+0.012441
+0.0105857
+0.00885808
+0.00720115
+0.00576271
+0.00475861
+0.00424699
+0.00434593
+0.0051223
+0.00632769
+0.00788359
+0.00962024
+0.0115128
+0.0134665
+0.035648
+0.0349655
+0.0344091
+0.0339851
+0.0336985
+0.0335527
+0.0335321
+0.0336433
+0.0338695
+0.0341446
+0.0343228
+0.0346179
+0.035042
+0.035596
+0.036274
+0.0370694
+0.0379746
+0.038968
+0.0400442
+0.0411836
+0.0423893
+0.0436567
+0.0449476
+0.0463063
+0.0477268
+0.0492039
+0.0490935
+0.0475143
+0.0459804
+0.0444613
+0.0429941
+0.0415847
+0.0402451
+0.0389585
+0.0377153
+0.0365425
+0.0354599
+0.0342066
+0.0330311
+0.0319337
+0.0309497
+0.0300917
+0.0285626
+0.0265233
+0.0244953
+0.0224834
+0.0205081
+0.0185812
+0.0167193
+0.0149469
+0.0131332
+0.0112863
+0.0094604
+0.0076386
+0.00580266
+0.00403536
+0.0023413
+0.000829601
+-0.000507665
+-0.0019327
+-0.00363202
+-0.00357648
+-0.00271781
+-0.0023053
+-0.00200637
+-0.00172025
+-0.00103554
+-5.84354e-05
+-0.001089
+-0.00108772
+-0.000391239
+-0.000360481
+0.000348321
+0.00194517
+0.00368915
+0.00562132
+0.00768563
+0.00980492
+0.0118994
+0.0140003
+0.016125
+0.0182654
+0.0204164
+0.0190098
+0.0169712
+0.0149757
+0.0130351
+0.0111701
+0.00944545
+0.00793212
+0.00657581
+0.00564486
+0.004832
+0.00476583
+0.00546634
+0.00658752
+0.00805091
+0.00973498
+0.0114569
+0.0132953
+0.036705
+0.0360425
+0.035503
+0.0350922
+0.0348147
+0.0346657
+0.034636
+0.0347446
+0.0349903
+0.0353702
+0.0358801
+0.0363101
+0.0367146
+0.0372437
+0.0378923
+0.0386544
+0.0395221
+0.0404723
+0.0415156
+0.0426309
+0.043799
+0.0450404
+0.0463464
+0.0476652
+0.0490464
+0.0504849
+0.0505718
+0.0490355
+0.0475223
+0.0460499
+0.0446331
+0.043277
+0.0419915
+0.0407418
+0.0395319
+0.0384087
+0.037234
+0.0360301
+0.0349018
+0.0338625
+0.0329362
+0.0313454
+0.0293149
+0.0273066
+0.0253285
+0.0233883
+0.0214964
+0.0196665
+0.0179178
+0.0161574
+0.0142213
+0.0123509
+0.0105099
+0.00869058
+0.00691869
+0.00519149
+0.00358427
+0.00200558
+0.000630042
+-0.00118087
+-0.0024432
+-0.0020136
+-0.000655203
+-0.000147773
+-4.66618e-05
+0.000353969
+0.000875389
+0.000291201
+-0.0011178
+-0.00083244
+-0.00106018
+-0.000726346
+0.000843146
+0.00269061
+0.00446702
+0.00631962
+0.0083087
+0.0103006
+0.0123594
+0.0144503
+0.0165634
+0.0186846
+0.0207923
+0.0194775
+0.01748
+0.0154974
+0.0135686
+0.0117228
+0.00999486
+0.00846819
+0.00718641
+0.00628244
+0.00546976
+0.00541687
+0.00605411
+0.00706075
+0.00833266
+0.00974627
+0.0113188
+0.0130523
+0.0378389
+0.0371966
+0.0366741
+0.0362766
+0.0360082
+0.0358686
+0.0358399
+0.0359448
+0.0361824
+0.03655
+0.0370436
+0.0376584
+0.0383886
+0.038945
+0.0395657
+0.0402961
+0.0411238
+0.042037
+0.0430424
+0.0441196
+0.0452673
+0.0464708
+0.0477433
+0.0490806
+0.0504266
+0.0518268
+0.0520956
+0.0505879
+0.0491097
+0.0476863
+0.0463177
+0.0450123
+0.0437736
+0.0425369
+0.0413792
+0.0402721
+0.0390445
+0.0378902
+0.0363971
+0.0349531
+0.03359
+0.0321525
+0.030174
+0.0282269
+0.0263181
+0.0244565
+0.022654
+0.0208647
+0.0190037
+0.0171489
+0.0153157
+0.0134785
+0.0116847
+0.00991397
+0.00819589
+0.00655139
+0.004972
+0.00294086
+0.00092225
+-0.000184964
+-0.00100959
+-0.000666117
+0.000785888
+0.00156416
+0.00177159
+0.00203464
+0.00229052
+0.000597939
+-0.000804804
+-0.00140353
+-0.00174832
+-0.000249281
+0.00154894
+0.00358864
+0.00552505
+0.00728462
+0.00912393
+0.0110533
+0.0130648
+0.015092
+0.0171357
+0.0192101
+0.0213018
+0.0199472
+0.017979
+0.0160448
+0.0141635
+0.0123842
+0.0107361
+0.00927005
+0.00797473
+0.00693233
+0.00636999
+0.00643591
+0.00678086
+0.00743643
+0.00848838
+0.00983586
+0.011386
+0.0130283
+0.0390629
+0.038441
+0.0379357
+0.0375515
+0.0372923
+0.0371606
+0.037134
+0.0372354
+0.0374647
+0.0378198
+0.0382971
+0.0388921
+0.0395996
+0.0404135
+0.04128
+0.0419806
+0.0427769
+0.0436556
+0.0446245
+0.0456646
+0.0467752
+0.0479583
+0.0491927
+0.0504916
+0.0518506
+0.0532251
+0.0536572
+0.052174
+0.050742
+0.0493651
+0.0480431
+0.0467859
+0.0455543
+0.0443672
+0.0432586
+0.0416952
+0.0400913
+0.0385368
+0.0370467
+0.0356291
+0.0342929
+0.033048
+0.0311638
+0.0292825
+0.0274115
+0.0255296
+0.0236299
+0.0217849
+0.0199869
+0.0182242
+0.0164548
+0.0147098
+0.0129474
+0.0112512
+0.00959438
+0.00778076
+0.00578163
+0.00397949
+0.00263961
+0.00157439
+0.00109635
+0.00149232
+0.00222255
+0.00306057
+0.00317344
+0.00362699
+0.00285789
+0.000749321
+-0.00109542
+-0.00250651
+-0.00126598
+0.000592567
+0.00233651
+0.00393126
+0.00590122
+0.00796226
+0.010078
+0.0120557
+0.0139326
+0.0158779
+0.01788
+0.0199219
+0.0219597
+0.0205906
+0.0186588
+0.0167777
+0.0149358
+0.0131731
+0.0115304
+0.0100518
+0.00877096
+0.00779847
+0.00720318
+0.00713112
+0.00738588
+0.00806661
+0.0090211
+0.0102734
+0.0116907
+0.0132893
+0.0403687
+0.0397673
+0.039279
+0.0389081
+0.038658
+0.038531
+0.0385053
+0.038603
+0.0388243
+0.0391671
+0.0396282
+0.0402035
+0.0408883
+0.041677
+0.0425641
+0.0435433
+0.0444728
+0.0453223
+0.0462563
+0.0472606
+0.0483345
+0.0494822
+0.0506953
+0.0519567
+0.0532783
+0.0546558
+0.0544145
+0.0530229
+0.0516866
+0.0502275
+0.0487066
+0.0472385
+0.045828
+0.0444808
+0.0432027
+0.042
+0.0407997
+0.0392733
+0.0378123
+0.0364245
+0.0351185
+0.033904
+0.0321548
+0.0302685
+0.0283478
+0.026469
+0.0246418
+0.0228498
+0.0210891
+0.0193243
+0.0176346
+0.0159258
+0.0141895
+0.0125692
+0.0106768
+0.00872459
+0.00687703
+0.00528446
+0.00416194
+0.00347654
+0.00325595
+0.00328782
+0.00384531
+0.00487141
+0.00508525
+0.00511869
+0.00295542
+0.000812469
+-0.00124175
+-0.00239545
+-0.000549399
+0.000933295
+0.00247103
+0.00423511
+0.00611153
+0.0081464
+0.0102445
+0.0123614
+0.0144973
+0.0166473
+0.0187804
+0.0207338
+0.0227305
+0.0212347
+0.0193058
+0.0174389
+0.0156561
+0.0139896
+0.0124469
+0.010997
+0.00975718
+0.00882017
+0.00827347
+0.00789359
+0.00810959
+0.00887809
+0.00978098
+0.0109123
+0.012268
+0.0138136
+0.0417487
+0.0411674
+0.0406959
+0.0403381
+0.0400969
+0.0399744
+0.0399497
+0.0400439
+0.0402573
+0.040588
+0.0410331
+0.041589
+0.0422513
+0.0430151
+0.043875
+0.0448257
+0.0458613
+0.0469764
+0.0479327
+0.0489027
+0.0499413
+0.0510529
+0.0522327
+0.0534714
+0.0547565
+0.0554076
+0.0539526
+0.0525488
+0.0512001
+0.0496707
+0.0481323
+0.046646
+0.0452171
+0.0438511
+0.0425541
+0.0413326
+0.0401934
+0.0391438
+0.0381911
+0.037325
+0.0360586
+0.0348768
+0.0331181
+0.031219
+0.0293605
+0.0275509
+0.0257666
+0.0239971
+0.0222472
+0.0205461
+0.0188249
+0.0171023
+0.0154489
+0.0134573
+0.0115382
+0.00973435
+0.00811157
+0.00676149
+0.00583944
+0.00503921
+0.0049424
+0.0050983
+0.0055664
+0.00642105
+0.00574133
+0.00421849
+0.00246778
+0.000420916
+-0.00160022
+-0.00250664
+-0.000970102
+0.000804586
+0.00261554
+0.00471494
+0.00687157
+0.00880775
+0.010779
+0.0128217
+0.014906
+0.0170143
+0.0187444
+0.020011
+0.0214271
+0.021967
+0.0201084
+0.0182907
+0.0165516
+0.0149075
+0.0134
+0.0120959
+0.0110128
+0.0100839
+0.00934674
+0.00901224
+0.00920202
+0.00988596
+0.0107832
+0.0117344
+0.0129773
+0.0143405
+0.0431957
+0.0426342
+0.0421791
+0.0418339
+0.0416014
+0.0414834
+0.0414596
+0.0415504
+0.0417561
+0.042075
+0.0425045
+0.0430414
+0.0436817
+0.0444209
+0.0452542
+0.0461764
+0.0471824
+0.048267
+0.0494248
+0.0505715
+0.0515911
+0.0526679
+0.0538123
+0.0550201
+0.0562811
+0.0550413
+0.0535764
+0.0521624
+0.0508036
+0.0492052
+0.0476518
+0.0461501
+0.0447053
+0.0433232
+0.0420099
+0.0407721
+0.0396168
+0.0385515
+0.0375838
+0.0367033
+0.0359281
+0.0352722
+0.0341299
+0.0322904
+0.0304973
+0.0287175
+0.0269438
+0.0251967
+0.0234963
+0.0217779
+0.0200675
+0.0182776
+0.0163372
+0.0144685
+0.0127
+0.0110781
+0.00965971
+0.00849077
+0.00756637
+0.00691739
+0.00680919
+0.00699504
+0.00698365
+0.00539176
+0.00390684
+0.00270612
+0.00121775
+-0.000403094
+-0.00225407
+-0.00288599
+-0.00137603
+0.000381401
+0.0024908
+0.0046676
+0.00685325
+0.00904134
+0.0112305
+0.0134201
+0.0150497
+0.0161331
+0.0173137
+0.0186775
+0.0201874
+0.0218131
+0.0209505
+0.0192041
+0.0175531
+0.0160013
+0.0146048
+0.0134128
+0.0123584
+0.0113715
+0.010665
+0.0103731
+0.010516
+0.0106938
+0.0113016
+0.0122139
+0.0134105
+0.014723
+0.0447033
+0.044161
+0.0437218
+0.0433889
+0.0431647
+0.043051
+0.0430281
+0.0431156
+0.0433138
+0.0436213
+0.0440358
+0.0445542
+0.0451731
+0.0458883
+0.0466954
+0.0475897
+0.0485664
+0.0496207
+0.0507477
+0.0519427
+0.0532011
+0.0543062
+0.0554216
+0.0565947
+0.0562797
+0.0547603
+0.0532877
+0.0518658
+0.0504459
+0.0488337
+0.0472681
+0.0457538
+0.0442961
+0.0429008
+0.0415741
+0.0403229
+0.0391544
+0.0380761
+0.037096
+0.0362037
+0.0354176
+0.034752
+0.034214
+0.0334673
+0.031694
+0.0299192
+0.0281781
+0.0264742
+0.024746
+0.0230548
+0.0211819
+0.0192849
+0.0174568
+0.0157166
+0.0141014
+0.012653
+0.0113703
+0.0103352
+0.00941743
+0.00890007
+0.00880315
+0.00750961
+0.00561192
+0.00389224
+0.00232072
+0.000873452
+-0.00032656
+-0.00171269
+-0.00339048
+-0.00334201
+-0.00137912
+0.000737965
+0.00278983
+0.00491743
+0.00708354
+0.00926123
+0.0114249
+0.0125058
+0.0135145
+0.0147515
+0.0160552
+0.0175173
+0.019119
+0.0208283
+0.0219656
+0.0203028
+0.0187482
+0.0172926
+0.0160005
+0.0148676
+0.0137348
+0.0128353
+0.012011
+0.0114491
+0.0112744
+0.0115213
+0.0121243
+0.0129811
+0.0140076
+0.0152384
+0.0462656
+0.0457417
+0.0453179
+0.0449968
+0.0447807
+0.0446711
+0.044649
+0.0447333
+0.0449244
+0.0452209
+0.0456209
+0.0461215
+0.0467196
+0.0474115
+0.0481931
+0.0490601
+0.0500081
+0.0510327
+0.0521291
+0.0532932
+0.0545204
+0.0558067
+0.057051
+0.0576579
+0.0560905
+0.0545659
+0.0530879
+0.0516605
+0.0501793
+0.0485583
+0.0469834
+0.0454597
+0.0439922
+0.042587
+0.0412502
+0.0399889
+0.0388103
+0.0377222
+0.0367327
+0.0358313
+0.0350368
+0.0343639
+0.0338197
+0.0334105
+0.0329107
+0.0311823
+0.029472
+0.0277422
+0.0260467
+0.0241344
+0.0222734
+0.0204766
+0.0187598
+0.0171514
+0.0156811
+0.0143412
+0.0132233
+0.0121923
+0.0113872
+0.0109498
+0.00889053
+0.00675046
+0.00465558
+0.00261869
+0.000832202
+-0.000660349
+-0.00190603
+-0.00261046
+-0.00370572
+-0.00365989
+-0.00171175
+0.000392593
+0.00255321
+0.00473833
+0.00687143
+0.00872458
+0.00995909
+0.0110309
+0.012142
+0.0134722
+0.0149645
+0.0165668
+0.0182522
+0.0200356
+0.021893
+0.0215648
+0.020071
+0.0187144
+0.0175057
+0.0160942
+0.014782
+0.0136962
+0.0128787
+0.0123407
+0.0121788
+0.0124017
+0.0128619
+0.0136581
+0.0146829
+0.015868
+0.0478771
+0.0473711
+0.0469619
+0.0466522
+0.0464438
+0.0463381
+0.0463168
+0.0463981
+0.0465824
+0.0468684
+0.0472544
+0.0477379
+0.048316
+0.0489853
+0.0497422
+0.0505827
+0.0515027
+0.0524981
+0.0535646
+0.0546981
+0.0558945
+0.0571498
+0.0584603
+0.0575567
+0.0559865
+0.0544589
+0.0529779
+0.0515475
+0.0500074
+0.0483805
+0.0467997
+0.0452698
+0.043796
+0.0423842
+0.0410409
+0.0397729
+0.0385877
+0.0374932
+0.0364974
+0.0355901
+0.0347901
+0.0341123
+0.033564
+0.0331517
+0.0328805
+0.0324755
+0.0307587
+0.0290004
+0.0271194
+0.0252883
+0.023516
+0.0218185
+0.020216
+0.0187246
+0.017354
+0.0161506
+0.0150665
+0.0141174
+0.0131133
+0.0109232
+0.0087334
+0.00654414
+0.00435632
+0.00217432
+0.000122356
+-0.000291525
+-0.000442092
+-0.00174068
+-0.00326705
+-0.00350404
+-0.00145832
+0.000551333
+0.00253891
+0.00449643
+0.00600431
+0.00730861
+0.00853579
+0.00972492
+0.0109757
+0.0124222
+0.0139961
+0.0156081
+0.0173444
+0.019174
+0.0210726
+0.0229315
+0.0215323
+0.0199423
+0.0183846
+0.0169673
+0.015728
+0.0146681
+0.0138559
+0.0133573
+0.0131972
+0.0133398
+0.0137865
+0.0145284
+0.0155262
+0.016663
+0.0495298
+0.0490409
+0.0486458
+0.0483468
+0.0481457
+0.0480438
+0.0480266
+0.048105
+0.0482828
+0.0485588
+0.0489315
+0.0493986
+0.0499575
+0.0506051
+0.0513381
+0.0521528
+0.0530456
+0.0540126
+0.0550497
+0.0561533
+0.0573193
+0.0585441
+0.0591476
+0.0575388
+0.0559681
+0.05444
+0.0529585
+0.0515275
+0.049931
+0.0483016
+0.0467182
+0.0451854
+0.0437088
+0.0422941
+0.0409478
+0.0396769
+0.0384887
+0.0373913
+0.0363927
+0.0354827
+0.0346803
+0.0340003
+0.0334502
+0.0330364
+0.0327643
+0.0326372
+0.0319814
+0.0301273
+0.0283208
+0.026569
+0.0248869
+0.0232895
+0.0217817
+0.0203811
+0.0191294
+0.0180141
+0.0169718
+0.0154779
+0.0133164
+0.0111661
+0.00903537
+0.006942
+0.00493133
+0.00304155
+0.00178637
+0.00185519
+0.00113894
+-0.000610146
+-0.00259229
+-0.00295236
+-0.00115835
+0.00061013
+0.00210022
+0.0035377
+0.00496582
+0.00615748
+0.00743729
+0.00866385
+0.010036
+0.011465
+0.0130185
+0.0147343
+0.0165561
+0.0184484
+0.0204005
+0.0223968
+0.0223935
+0.0207887
+0.0192994
+0.0179493
+0.0167525
+0.0157707
+0.01504
+0.014582
+0.0144011
+0.0145315
+0.0149408
+0.0156298
+0.0165713
+0.0176726
+0.0512141
+0.0507414
+0.0503596
+0.0500709
+0.0498768
+0.0497784
+0.0497742
+0.0498498
+0.0500214
+0.0502879
+0.0506478
+0.0510992
+0.0516397
+0.0522665
+0.0529765
+0.0537664
+0.0546329
+0.0555722
+0.0565808
+0.057655
+0.0587913
+0.059986
+0.0592047
+0.0575964
+0.0560276
+0.0545017
+0.0530225
+0.0515939
+0.0499507
+0.048322
+0.0467392
+0.0452072
+0.0437313
+0.0423174
+0.0409718
+0.0397017
+0.0385143
+0.0374176
+0.0364198
+0.0355097
+0.0347078
+0.0340284
+0.0334787
+0.0330654
+0.0327934
+0.0326665
+0.0326685
+0.0313651
+0.0296314
+0.0279619
+0.0263687
+0.0248488
+0.0234268
+0.0221305
+0.0209834
+0.019879
+0.0180657
+0.015954
+0.0138668
+0.0118172
+0.00982684
+0.00789219
+0.00612558
+0.0046989
+0.00388725
+0.00373108
+0.00187646
+0.000184891
+-0.000987492
+-0.00112216
+-0.00014333
+0.00102818
+0.00205799
+0.00313713
+0.00432711
+0.0054217
+0.00667204
+0.0078282
+0.00916026
+0.0106731
+0.0123262
+0.0141071
+0.0159891
+0.0179413
+0.0199432
+0.021981
+0.0233326
+0.021797
+0.0203816
+0.0191047
+0.017985
+0.0170742
+0.0163932
+0.0159741
+0.0157984
+0.0159173
+0.016303
+0.0169381
+0.0178163
+0.0188618
+0.0529355
+0.0524783
+0.0521093
+0.0518303
+0.0516428
+0.0515478
+0.0515458
+0.0516286
+0.0517943
+0.0520517
+0.0523995
+0.052836
+0.0533588
+0.0539657
+0.0546536
+0.0554196
+0.0562606
+0.0571732
+0.058154
+0.0591997
+0.0603069
+0.0609748
+0.0593336
+0.0577289
+0.0561638
+0.0546417
+0.0531663
+0.0517321
+0.0500657
+0.048441
+0.0468624
+0.045334
+0.0438597
+0.0424473
+0.0411032
+0.0398343
+0.038648
+0.0375521
+0.0365548
+0.0356466
+0.0348479
+0.0341713
+0.0336239
+0.0332124
+0.0329417
+0.0328153
+0.0328168
+0.0325358
+0.0310414
+0.0294511
+0.0279228
+0.0264846
+0.0251552
+0.0239526
+0.0228359
+0.0207935
+0.0187332
+0.0167061
+0.0147243
+0.0127794
+0.0109249
+0.00921906
+0.0077447
+0.00666016
+0.00593608
+0.00426175
+0.00273133
+0.00147546
+0.000913907
+0.000500971
+0.00118073
+0.00178582
+0.00230632
+0.00309724
+0.00389354
+0.00494747
+0.00597503
+0.00711113
+0.00856076
+0.0102228
+0.0119616
+0.0137897
+0.0157098
+0.0176928
+0.0197199
+0.0217787
+0.0238609
+0.0229678
+0.0216291
+0.0204304
+0.0193874
+0.0185447
+0.0179092
+0.0175235
+0.0173568
+0.0174651
+0.0178309
+0.0184135
+0.0192115
+0.0201874
+0.0546905
+0.0542481
+0.0538911
+0.0536214
+0.0534402
+0.0533484
+0.0533465
+0.0534345
+0.0535981
+0.0538469
+0.0541832
+0.0546054
+0.0551115
+0.0556992
+0.056366
+0.0571091
+0.0579255
+0.0588123
+0.0597662
+0.0607842
+0.061863
+0.0611784
+0.0595428
+0.0579439
+0.0563848
+0.0548688
+0.0533997
+0.0519185
+0.0502584
+0.0486403
+0.0470686
+0.0455464
+0.0440793
+0.0426742
+0.0413374
+0.0400759
+0.038897
+0.0378083
+0.036818
+0.0359164
+0.0351239
+0.0344526
+0.0339098
+0.0335018
+0.0332334
+0.0331082
+0.0331096
+0.032856
+0.0324018
+0.0310016
+0.0295508
+0.0281958
+0.0269509
+0.0256029
+0.0236128
+0.0215993
+0.0196236
+0.0176729
+0.0157853
+0.0139863
+0.0123149
+0.0108202
+0.00958449
+0.00796023
+0.00639509
+0.00497653
+0.00373483
+0.00294685
+0.00248315
+0.00204138
+0.00199183
+0.00234054
+0.0030094
+0.00352826
+0.00408335
+0.0050463
+0.00588106
+0.00703236
+0.0084957
+0.0101368
+0.0119404
+0.0138075
+0.0157292
+0.0177134
+0.0197388
+0.0217957
+0.023811
+0.0242654
+0.0230023
+0.0218861
+0.0209255
+0.0201371
+0.0195534
+0.0191925
+0.0190401
+0.0191389
+0.0194826
+0.0200172
+0.0207401
+0.0216472
+0.0564759
+0.0560476
+0.0557022
+0.0554413
+0.055266
+0.0551773
+0.0551754
+0.0552605
+0.0554214
+0.0556621
+0.0559875
+0.0563962
+0.0568863
+0.0574559
+0.0581025
+0.0588237
+0.0596167
+0.0604786
+0.0614067
+0.0623979
+0.0631214
+0.0614595
+0.0598316
+0.0582406
+0.0566896
+0.055182
+0.0537215
+0.0521961
+0.0505452
+0.0489366
+0.0473747
+0.0458627
+0.0444059
+0.0430115
+0.0416856
+0.0404349
+0.0392668
+0.0381887
+0.0372084
+0.0363166
+0.035533
+0.0348696
+0.0343334
+0.0339305
+0.0336655
+0.0335419
+0.0335433
+0.033293
+0.0328449
+0.0325384
+0.0312477
+0.0297716
+0.0278273
+0.0258885
+0.0239538
+0.0220669
+0.0202414
+0.0184795
+0.0168069
+0.0152482
+0.0138132
+0.0120046
+0.0102805
+0.00865728
+0.00717601
+0.00597585
+0.00509006
+0.00463855
+0.00412233
+0.00384858
+0.00366026
+0.00378912
+0.00420725
+0.00458211
+0.0050807
+0.00585613
+0.00647783
+0.00750861
+0.00888182
+0.010459
+0.0122149
+0.0140559
+0.0159854
+0.0179513
+0.019955
+0.0219428
+0.023911
+0.0256829
+0.0244931
+0.023448
+0.0225437
+0.021805
+0.0212671
+0.0209454
+0.0208082
+0.0208986
+0.021201
+0.0216933
+0.022379
+0.0232222
+0.058289
+0.0578741
+0.0575396
+0.0572871
+0.0571175
+0.0570316
+0.0570298
+0.0571121
+0.0572692
+0.0575022
+0.0578172
+0.058213
+0.058688
+0.0592403
+0.0598676
+0.0605678
+0.0613382
+0.0621763
+0.0630794
+0.0640447
+0.0634695
+0.0618169
+0.0601987
+0.0586177
+0.057077
+0.0555799
+0.0541301
+0.0525637
+0.0509246
+0.0493284
+0.0477793
+0.0462805
+0.0448374
+0.0434568
+0.0421449
+0.0409083
+0.0397541
+0.0386895
+0.0377223
+0.0368429
+0.0360707
+0.0354174
+0.0348896
+0.0344932
+0.0342326
+0.034111
+0.0341124
+0.0338663
+0.0334259
+0.0331247
+0.0321267
+0.0301762
+0.0282151
+0.026269
+0.0243645
+0.0225121
+0.0207258
+0.0190002
+0.0173525
+0.015837
+0.0144624
+0.0128481
+0.0112116
+0.00972859
+0.00839708
+0.00738471
+0.00677543
+0.00646467
+0.00601275
+0.00579793
+0.00561252
+0.00563886
+0.00588524
+0.00613639
+0.0066254
+0.00716592
+0.00762832
+0.00852619
+0.00975586
+0.0112082
+0.012862
+0.0146218
+0.0164852
+0.0184208
+0.0203399
+0.0222675
+0.0242097
+0.0261847
+0.0260687
+0.0250894
+0.0242397
+0.0235542
+0.0230572
+0.0227608
+0.0226346
+0.0227178
+0.0229991
+0.0234536
+0.0240995
+0.0248905
+0.0601272
+0.059725
+0.059401
+0.0591564
+0.0589922
+0.0589091
+0.0589073
+0.058987
+0.0591404
+0.059366
+0.0596712
+0.0600548
+0.0605154
+0.0610511
+0.06166
+0.0623401
+0.0630889
+0.063904
+0.064783
+0.0655644
+0.0638909
+0.0622495
+0.0606428
+0.0590737
+0.0575452
+0.0560606
+0.0546236
+0.0530193
+0.0513947
+0.0498136
+0.0482801
+0.0467973
+0.0453706
+0.0440068
+0.0427117
+0.0414921
+0.0403545
+0.0393062
+0.0383546
+0.03749
+0.0367314
+0.0360901
+0.0355723
+0.0351835
+0.0349281
+0.0348089
+0.0348103
+0.0345692
+0.0341378
+0.033843
+0.0326425
+0.0306644
+0.0287172
+0.0268076
+0.0249442
+0.0231327
+0.0213905
+0.0197131
+0.0181303
+0.0166856
+0.0153871
+0.0139316
+0.012403
+0.011061
+0.00990916
+0.00906721
+0.00860785
+0.00834788
+0.00793783
+0.0077145
+0.0076929
+0.00761955
+0.00775175
+0.00797777
+0.00837131
+0.00874229
+0.00911243
+0.00989086
+0.0109774
+0.0122795
+0.0138082
+0.0154798
+0.0172508
+0.0190796
+0.0208981
+0.0227822
+0.0246997
+0.0266385
+0.0277223
+0.0268034
+0.0260097
+0.025372
+0.0249113
+0.0246373
+0.0245208
+0.0245976
+0.0248582
+0.0252813
+0.025858
+0.0265911
+0.0619883
+0.0615983
+0.0612842
+0.0610472
+0.0608881
+0.0608075
+0.0608058
+0.060883
+0.0610329
+0.0612515
+0.0615474
+0.0619194
+0.0623662
+0.0628861
+0.0634775
+0.0641382
+0.0648662
+0.0656593
+0.0665152
+0.0660451
+0.0643841
+0.0627556
+0.0611622
+0.0596067
+0.0580923
+0.056622
+0.0551996
+0.0535606
+0.051953
+0.0503894
+0.048874
+0.0474098
+0.0460021
+0.0446575
+0.043382
+0.0421816
+0.0410632
+0.0400335
+0.0390995
+0.0382518
+0.0375086
+0.0368808
+0.0363743
+0.0359942
+0.0357446
+0.0356281
+0.0356295
+0.0353939
+0.0349727
+0.034685
+0.0332106
+0.0312684
+0.0293613
+0.0274964
+0.025682
+0.0239249
+0.0222448
+0.0206242
+0.0191171
+0.0177517
+0.0165304
+0.0152108
+0.0138243
+0.0126209
+0.0116165
+0.0109313
+0.0105774
+0.0102974
+0.00996618
+0.00974726
+0.00982138
+0.00969107
+0.0097413
+0.0099534
+0.0102144
+0.0104885
+0.0108188
+0.0114867
+0.0124127
+0.0135779
+0.0149746
+0.0165428
+0.018215
+0.019916
+0.0216645
+0.0234872
+0.0253425
+0.0272375
+0.0291694
+0.0285826
+0.0278396
+0.0272448
+0.0268163
+0.0265619
+0.026454
+0.0265252
+0.0267542
+0.0271365
+0.0276644
+0.0283509
+0.0638703
+0.0634919
+0.0631872
+0.0629574
+0.0628031
+0.062725
+0.0627234
+0.0627982
+0.0629448
+0.0631568
+0.0634437
+0.0638047
+0.0642383
+0.0647433
+0.0653178
+0.0659601
+0.0666682
+0.0674402
+0.068272
+0.0665945
+0.0649475
+0.0633335
+0.061755
+0.0602148
+0.058716
+0.0572618
+0.0558145
+0.0541852
+0.0525967
+0.0510528
+0.0495577
+0.0481143
+0.0467279
+0.0454048
+0.0441508
+0.042972
+0.0418746
+0.0408654
+0.0399373
+0.0391033
+0.0383765
+0.0377628
+0.0372681
+0.0368969
+0.0366532
+0.0365394
+0.0365429
+0.0363322
+0.035922
+0.035642
+0.0338895
+0.0319886
+0.0301271
+0.0283128
+0.0265535
+0.0248607
+0.0232467
+0.0217101
+0.0202882
+0.0189776
+0.0178337
+0.0166807
+0.015402
+0.0143141
+0.013432
+0.0128319
+0.0125542
+0.012308
+0.0120215
+0.0118362
+0.0119605
+0.0118057
+0.0118023
+0.0119809
+0.0121635
+0.0123764
+0.0126578
+0.0132341
+0.0140444
+0.0150841
+0.0163527
+0.0177998
+0.0193605
+0.0209491
+0.0226178
+0.0243621
+0.0261448
+0.0279855
+0.0298691
+0.0304156
+0.0297184
+0.0291619
+0.028762
+0.0285165
+0.0284141
+0.0284657
+0.0286673
+0.0290288
+0.0295229
+0.0301671
+0.0657715
+0.0654041
+0.0651083
+0.0648853
+0.0647356
+0.0646598
+0.0646582
+0.0647309
+0.0648742
+0.0650799
+0.0653585
+0.0657089
+0.0661301
+0.0666207
+0.0671791
+0.0678038
+0.0684929
+0.0692445
+0.0688733
+0.0672107
+0.0655792
+0.0639811
+0.0624191
+0.0608957
+0.0594141
+0.0579774
+0.0564992
+0.0548902
+0.0533227
+0.0518005
+0.0503276
+0.0489069
+0.0475435
+0.0462438
+0.0450132
+0.0438576
+0.042783
+0.0417801
+0.0408664
+0.0400518
+0.0393424
+0.0387441
+0.038262
+0.0379006
+0.0376634
+0.0375527
+0.0375562
+0.0373755
+0.0369768
+0.0365779
+0.034686
+0.0328313
+0.0310204
+0.0292615
+0.0275629
+0.025936
+0.0243933
+0.0229315
+0.021586
+0.0203631
+0.0192899
+0.0182853
+0.0171004
+0.0161268
+0.0153458
+0.0148077
+0.0145676
+0.0143712
+0.0141141
+0.0139559
+0.0140155
+0.013938
+0.0138988
+0.014055
+0.0141674
+0.0143242
+0.0145835
+0.0150656
+0.0157958
+0.0167358
+0.0178876
+0.0192208
+0.0206332
+0.0221511
+0.0237356
+0.0253854
+0.0271009
+0.0288807
+0.0307094
+0.0322686
+0.0316054
+0.0310827
+0.0306811
+0.0304287
+0.0303328
+0.030382
+0.030571
+0.0309144
+0.0313931
+0.0319997
+0.0676902
+0.0673332
+0.067046
+0.0668294
+0.0666841
+0.0666105
+0.066609
+0.0666795
+0.0668198
+0.0670195
+0.06729
+0.0676305
+0.0680397
+0.0685167
+0.0690598
+0.0696676
+0.0703385
+0.0710705
+0.0695384
+0.0678921
+0.0662774
+0.0646966
+0.0631522
+0.061647
+0.0601838
+0.058766
+0.0572595
+0.0556726
+0.0541277
+0.0526287
+0.0511797
+0.0497833
+0.0484447
+0.0471698
+0.0459639
+0.0448324
+0.0437649
+0.0427814
+0.0418896
+0.0410952
+0.0404042
+0.0398218
+0.0393529
+0.0390017
+0.0387712
+0.0386636
+0.0386672
+0.0385149
+0.0381281
+0.0374434
+0.0355976
+0.0337929
+0.0320364
+0.0303364
+0.0287031
+0.0271413
+0.0256509
+0.0242598
+0.0229935
+0.0218703
+0.0208747
+0.0199566
+0.0189005
+0.0180141
+0.0173183
+0.0168367
+0.016626
+0.0164432
+0.0162326
+0.0160943
+0.0161063
+0.0160776
+0.0159867
+0.0161598
+0.0162067
+0.0163238
+0.0165572
+0.0169824
+0.0176332
+0.0184786
+0.0195278
+0.0207559
+0.0220506
+0.0234771
+0.0249856
+0.0265504
+0.0281951
+0.0299098
+0.0316792
+0.0334968
+0.0334911
+0.0329949
+0.0326135
+0.0323762
+0.0322861
+0.0323332
+0.0325108
+0.032834
+0.0332922
+0.0338648
+0.0696249
+0.0692779
+0.0689988
+0.0687883
+0.0686471
+0.0685757
+0.0685742
+0.0686427
+0.0687801
+0.0689742
+0.0692371
+0.0695679
+0.0699659
+0.0704298
+0.0709583
+0.07155
+0.0722033
+0.0719242
+0.0702655
+0.0686367
+0.0670399
+0.0654775
+0.063952
+0.062466
+0.0610225
+0.0596246
+0.0580855
+0.0565218
+0.0550008
+0.0535263
+0.0521022
+0.0507327
+0.0494224
+0.0481762
+0.0469961
+0.0458732
+0.044829
+0.0438694
+0.0430001
+0.0422266
+0.0415544
+0.0409884
+0.040533
+0.0401921
+0.0399684
+0.0398641
+0.0398678
+0.0397194
+0.0393446
+0.0384015
+0.0366039
+0.0348514
+0.033151
+0.0315109
+0.0299328
+0.028436
+0.0270168
+0.0256996
+0.0245079
+0.0234606
+0.0225383
+0.0217145
+0.0207714
+0.0199581
+0.0193324
+0.0189018
+0.0187144
+0.0185352
+0.0183545
+0.018233
+0.0182205
+0.0181954
+0.0180989
+0.0182666
+0.0182706
+0.0183671
+0.0185797
+0.0189546
+0.01954
+0.0203082
+0.0212673
+0.0223827
+0.0235866
+0.0249253
+0.0263512
+0.0278393
+0.029412
+0.0310597
+0.032767
+0.0345274
+0.0354119
+0.0349368
+0.0345768
+0.034353
+0.0342681
+0.0343134
+0.0344808
+0.0347856
+0.035224
+0.0357668
+0.0715743
+0.0712369
+0.0709654
+0.0707608
+0.0706236
+0.0705542
+0.0705527
+0.0706193
+0.0707534
+0.0709426
+0.0711982
+0.07152
+0.0719072
+0.0723586
+0.0728731
+0.0734494
+0.074086
+0.0726935
+0.0710528
+0.0694425
+0.0678646
+0.0663216
+0.064816
+0.0633503
+0.0619274
+0.0605504
+0.0589726
+0.057433
+0.0559368
+0.0544876
+0.0530893
+0.051746
+0.050462
+0.0492421
+0.0480887
+0.0469917
+0.0459729
+0.0450377
+0.0441913
+0.0434391
+0.042786
+0.0422364
+0.0417947
+0.0414641
+0.0412473
+0.0411463
+0.04115
+0.0410058
+0.0406427
+0.039458
+0.0377108
+0.0360122
+0.0343665
+0.0327795
+0.0312655
+0.0298357
+0.0284857
+0.0272397
+0.0261183
+0.0251382
+0.0242802
+0.0235451
+0.0226782
+0.0219486
+0.0213812
+0.0209925
+0.0208238
+0.0206476
+0.0204726
+0.0203637
+0.0203509
+0.0203142
+0.0202278
+0.0203608
+0.020361
+0.0204409
+0.0206305
+0.0209559
+0.0214869
+0.0222033
+0.0230838
+0.0240973
+0.0252196
+0.0264758
+0.0278224
+0.0292357
+0.030737
+0.0323172
+0.0339614
+0.0356629
+0.0373624
+0.0369065
+0.0365659
+0.0363543
+0.0362741
+0.0363177
+0.0364759
+0.0367641
+0.0371795
+0.0377002
+0.0735374
+0.073209
+0.0729449
+0.0727458
+0.0726124
+0.0725448
+0.0725434
+0.0726082
+0.0727388
+0.0729237
+0.0731724
+0.0734856
+0.0738624
+0.074302
+0.0748031
+0.0753646
+0.0751707
+0.07352
+0.0718982
+0.0703072
+0.0687493
+0.0672266
+0.0657417
+0.0642971
+0.0628956
+0.0614819
+0.0599267
+0.0584122
+0.0569417
+0.0555188
+0.0541471
+0.0528307
+0.0515738
+0.0503808
+0.0492543
+0.0481839
+0.0471908
+0.0462802
+0.045457
+0.0447261
+0.044092
+0.043559
+0.0431307
+0.0428105
+0.0426006
+0.0425027
+0.0425065
+0.0423664
+0.0420151
+0.0406053
+0.0389097
+0.0372609
+0.0356681
+0.0341416
+0.0326908
+0.0313261
+0.0300428
+0.0288641
+0.0278083
+0.0268772
+0.0260735
+0.0254156
+0.0246324
+0.0239741
+0.0234557
+0.0231016
+0.0229485
+0.0227749
+0.0226045
+0.0225059
+0.0224929
+0.0224468
+0.0223687
+0.0224688
+0.0224706
+0.0225367
+0.0226988
+0.0229918
+0.0234768
+0.0241485
+0.0249605
+0.0258839
+0.0269318
+0.0281116
+0.0293834
+0.030725
+0.0321569
+0.0336705
+0.0352516
+0.0368937
+0.0385902
+0.0388998
+0.0385768
+0.0383764
+0.0383004
+0.0383424
+0.0384923
+0.0387655
+0.0391597
+0.0396603
+0.075513
+0.0751932
+0.0749361
+0.0747424
+0.0746125
+0.0745467
+0.0745454
+0.0746083
+0.0747355
+0.0749165
+0.0751586
+0.0754635
+0.0758306
+0.0762588
+0.0767471
+0.0772945
+0.0760335
+0.0744019
+0.0727998
+0.0712289
+0.0696916
+0.0681899
+0.0667264
+0.0653037
+0.0639243
+0.0624745
+0.0609446
+0.059456
+0.058012
+0.056616
+0.0552716
+0.0539826
+0.0527531
+0.0515874
+0.0504881
+0.0494444
+0.0484772
+0.0475912
+0.0467911
+0.0460813
+0.0454662
+0.0449494
+0.0445346
+0.0442245
+0.0440213
+0.0439266
+0.0439304
+0.0437943
+0.0434546
+0.0418358
+0.0401856
+0.0385892
+0.0370536
+0.0355866
+0.0341971
+0.032895
+0.0316731
+0.0305563
+0.0295599
+0.028672
+0.0279199
+0.0273141
+0.0266233
+0.0260185
+0.0255495
+0.0252247
+0.0250845
+0.0249132
+0.0247467
+0.0246567
+0.0246434
+0.0245896
+0.0245183
+0.0245913
+0.0245926
+0.0246451
+0.0247882
+0.0250538
+0.0254996
+0.0261221
+0.0268847
+0.0277285
+0.0287091
+0.0298187
+0.0310207
+0.0322927
+0.033658
+0.035107
+0.0366275
+0.0382105
+0.039851
+0.0409133
+0.0406064
+0.040416
+0.0403438
+0.0403844
+0.0405267
+0.0407864
+0.0411612
+0.0416434
+0.0775001
+0.0771886
+0.0769381
+0.0767494
+0.0766229
+0.076559
+0.0765576
+0.0766189
+0.0767428
+0.0769201
+0.0771559
+0.0774529
+0.0778106
+0.0782279
+0.0787041
+0.0785887
+0.0769489
+0.0753372
+0.0737554
+0.0722053
+0.0706892
+0.0692092
+0.0677678
+0.0663673
+0.0650102
+0.0635271
+0.0620232
+0.0605611
+0.0591441
+0.0577755
+0.0564586
+0.0551974
+0.0539955
+0.0528572
+0.0517851
+0.0507682
+0.0498267
+0.0489652
+0.0481879
+0.047499
+0.0469024
+0.0464016
+0.0459999
+0.0456997
+0.0455032
+0.0454116
+0.0454154
+0.0452833
+0.0447833
+0.0431346
+0.041536
+0.0399935
+0.0385139
+0.0371047
+0.0357743
+0.0345195
+0.0333542
+0.0322956
+0.0313546
+0.0305184
+0.029813
+0.0292489
+0.0286415
+0.0280717
+0.0276454
+0.0273584
+0.0272292
+0.0270598
+0.0268967
+0.0268139
+0.0268004
+0.0267402
+0.0266746
+0.0267248
+0.0267209
+0.0267623
+0.0268903
+0.0271359
+0.027548
+0.0281253
+0.0288377
+0.0296203
+0.0305402
+0.0315856
+0.0327183
+0.0339253
+0.0352274
+0.0366143
+0.0380768
+0.0396047
+0.0411898
+0.0428283
+0.0426518
+0.0424706
+0.042402
+0.0424413
+0.0425767
+0.042824
+0.0431811
+0.0436452
+0.079498
+0.0791943
+0.0789502
+0.0787663
+0.0786431
+0.0785807
+0.0785794
+0.0786392
+0.0787598
+0.0789336
+0.0791634
+0.0794529
+0.0798016
+0.0802086
+0.0806731
+0.0795351
+0.0779153
+0.076324
+0.074763
+0.0732343
+0.0717399
+0.0702819
+0.0688625
+0.0674843
+0.06615
+0.0646369
+0.0631594
+0.0617243
+0.0603346
+0.0589935
+0.0577045
+0.0564711
+0.0552969
+0.054186
+0.0531409
+0.0521505
+0.0512344
+0.0503969
+0.049642
+0.0489736
+0.0483952
+0.0479101
+0.0475211
+0.0472306
+0.0470404
+0.0469518
+0.0469556
+0.0468274
+0.0461031
+0.0445033
+0.0429557
+0.041466
+0.0400409
+0.0386874
+0.037406
+0.036201
+0.0350916
+0.034087
+0.0331968
+0.0324078
+0.0317444
+0.0312071
+0.0306758
+0.0301443
+0.0297493
+0.0294963
+0.0293807
+0.029213
+0.0290527
+0.0289761
+0.0289626
+0.0288968
+0.0288361
+0.0288668
+0.0288568
+0.02889
+0.0290031
+0.0292339
+0.0296169
+0.0301519
+0.0308173
+0.0315508
+0.032416
+0.0333956
+0.0344669
+0.0356179
+0.0368602
+0.0381878
+0.0395922
+0.0410655
+0.0425992
+0.0441855
+0.0447111
+0.0445383
+0.0444728
+0.0445109
+0.0446401
+0.0448759
+0.0452168
+0.0456604
+0.0815057
+0.0812095
+0.0809715
+0.0807923
+0.0806721
+0.0806113
+0.0806101
+0.0806683
+0.0807859
+0.0809563
+0.0811803
+0.0814627
+0.0818028
+0.0821999
+0.0821566
+0.08053
+0.0789306
+0.0773602
+0.0758205
+0.0743133
+0.0728406
+0.0714049
+0.0700082
+0.068653
+0.0672917
+0.0658009
+0.0643501
+0.0629421
+0.0615799
+0.0602666
+0.0590054
+0.0577997
+0.0566532
+0.0555693
+0.0545509
+0.0535866
+0.0526955
+0.0518817
+0.0511487
+0.0505002
+0.0499395
+0.0494695
+0.0490929
+0.0488118
+0.0486278
+0.0485421
+0.0485459
+0.0484215
+0.0474873
+0.0459358
+0.044438
+0.0429998
+0.0416272
+0.0403238
+0.0390861
+0.0379345
+0.0368773
+0.0359227
+0.0350791
+0.034333
+0.0337075
+0.0331944
+0.0327301
+0.0322325
+0.0318648
+0.0316288
+0.0315377
+0.0313714
+0.0312136
+0.0311423
+0.0311255
+0.0310582
+0.0310018
+0.0310157
+0.0310003
+0.0310265
+0.0311267
+0.0313446
+0.0317021
+0.0321999
+0.0328208
+0.0335133
+0.0343291
+0.0352429
+0.0362597
+0.0373622
+0.0385483
+0.0398197
+0.0411685
+0.0425873
+0.0440694
+0.0456076
+0.0467823
+0.0466171
+0.0465546
+0.0465916
+0.046715
+0.0469405
+0.0472665
+0.047691
+0.0835227
+0.0832336
+0.0830015
+0.0828266
+0.0827094
+0.0826501
+0.0826489
+0.0827057
+0.0828204
+0.0829875
+0.0832061
+0.0834816
+0.0838135
+0.0842012
+0.0831779
+0.0815716
+0.0799929
+0.0784434
+0.076925
+0.0754398
+0.0739896
+0.0725765
+0.0712029
+0.0698709
+0.0684805
+0.0670161
+0.0655922
+0.0642115
+0.0628768
+0.0615911
+0.0603576
+0.0591795
+0.0580602
+0.0570031
+0.0559986
+0.0550596
+0.0541928
+0.0534019
+0.0526903
+0.0520612
+0.0515176
+0.0510623
+0.0506977
+0.0504257
+0.0502478
+0.050165
+0.0501732
+0.0500606
+0.0489305
+0.0474262
+0.045977
+0.0445885
+0.0432663
+0.0420015
+0.0408146
+0.0397133
+0.0387046
+0.0377962
+0.036995
+0.0362839
+0.0356919
+0.0352046
+0.0347826
+0.0343335
+0.0339899
+0.0337687
+0.0336889
+0.0335339
+0.0333784
+0.0333117
+0.0332854
+0.0332234
+0.0331706
+0.03317
+0.03315
+0.0331661
+0.033259
+0.0334656
+0.0338007
+0.0342654
+0.0348406
+0.0354988
+0.0362679
+0.0371276
+0.0380941
+0.0391514
+0.0402849
+0.0415032
+0.0427989
+0.0441654
+0.0455962
+0.0470855
+0.0486272
+0.0487058
+0.0486459
+0.048682
+0.0488001
+0.0490159
+0.0493282
+0.0497352
+0.0855482
+0.085266
+0.0850394
+0.0848687
+0.0847543
+0.0846965
+0.0846953
+0.0847507
+0.0848627
+0.0850266
+0.08524
+0.085509
+0.0858331
+0.0858559
+0.0842434
+0.0826574
+0.0810997
+0.0795717
+0.0780754
+0.0766124
+0.0751848
+0.0737947
+0.0724441
+0.0711353
+0.0697157
+0.0682778
+0.0668808
+0.0655273
+0.0642199
+0.0629617
+0.0617556
+0.0606046
+0.0595121
+0.0584735
+0.0574913
+0.056577
+0.0557339
+0.0549652
+0.054274
+0.0536635
+0.0531363
+0.052695
+0.0523418
+0.0520783
+0.0519061
+0.051826
+0.0518342
+0.0517355
+0.0504276
+0.0489693
+0.0475672
+0.0462264
+0.0449414
+0.0437246
+0.0425858
+0.0415314
+0.040568
+0.0397022
+0.0389316
+0.0382552
+0.0376942
+0.0372324
+0.0368471
+0.036445
+0.0361228
+0.0359148
+0.0358397
+0.0356999
+0.0355464
+0.0354838
+0.0354491
+0.0353917
+0.0353422
+0.0353288
+0.0353048
+0.03531
+0.0353985
+0.035595
+0.0359102
+0.0363457
+0.0368799
+0.0375032
+0.0382277
+0.0390443
+0.0399644
+0.0409797
+0.0420639
+0.0432321
+0.0444775
+0.0457939
+0.0471753
+0.0486163
+0.0501116
+0.0508031
+0.0507457
+0.0507808
+0.050894
+0.0511011
+0.0514007
+0.0517913
+0.0875816
+0.087306
+0.0870847
+0.086918
+0.0868063
+0.0867499
+0.0867487
+0.0868028
+0.0869121
+0.0870731
+0.0872815
+0.0875442
+0.0878608
+0.0869433
+0.0853513
+0.0837863
+0.08225
+0.0807438
+0.0792695
+0.077829
+0.0764242
+0.075057
+0.0737295
+0.072444
+0.0709971
+0.0695857
+0.0682154
+0.0668889
+0.0656087
+0.0643776
+0.0631985
+0.0620743
+0.0610052
+0.0599846
+0.0590276
+0.0581374
+0.0573173
+0.0565701
+0.0558988
+0.0553062
+0.0547948
+0.054367
+0.0540247
+0.0537695
+0.0536027
+0.0535251
+0.0535333
+0.0534401
+0.0519739
+0.0505602
+0.0492034
+0.0479012
+0.0466587
+0.0454879
+0.0443944
+0.0433839
+0.0424626
+0.0416363
+0.0408926
+0.0402492
+0.0397163
+0.0392777
+0.0389211
+0.0385654
+0.0382622
+0.0380659
+0.0379951
+0.0378685
+0.0377169
+0.0376579
+0.0376159
+0.0375627
+0.037516
+0.0374913
+0.0374637
+0.0374592
+0.0375438
+0.0377315
+0.038029
+0.0384382
+0.0389356
+0.0395274
+0.0402113
+0.0409884
+0.0418658
+0.0428375
+0.0438802
+0.0450012
+0.0461989
+0.0474676
+0.0488017
+0.050196
+0.0516456
+0.0529079
+0.0528528
+0.052887
+0.0529958
+0.0531946
+0.0534825
+0.0538581
+0.0874262
+0.0859781
+0.084522
+0.0830981
+0.0817081
+0.0803116
+0.0789346
+0.0775377
+0.0761485
+0.0747976
+0.0734873
+0.0721918
+0.0708609
+0.0695736
+0.0683094
+0.0670692
+0.0658102
+0.0645536
+0.063343
+0.0621761
+0.0610655
+0.0599828
+0.058878
+0.0578125
+0.0568075
+0.0558704
+0.0550012
+0.0541777
+0.05324
+0.0523184
+0.0514595
+0.0506699
+0.0499004
+0.0492164
+0.0485921
+0.0480166
+0.0475307
+0.0470357
+0.0462463
+0.0455404
+0.0449008
+0.0443381
+0.04387
+0.0434914
+0.0432206
+0.0430598
+0.0429911
+0.0429928
+0.0431014
+0.0433206
+0.0436447
+0.0440584
+0.0445761
+0.0451564
+0.0458106
+0.0465588
+0.0473965
+0.0483191
+0.0493217
+0.0503874
+0.0515207
+0.050799
+0.0496895
+0.0486535
+0.0476956
+0.0468207
+0.0460334
+0.0453329
+0.0447235
+0.0442143
+0.0438089
+0.0435102
+0.0433203
+0.0432407
+0.043272
+0.0434077
+0.0436381
+0.0439764
+0.0444203
+0.0449572
+0.045593
+0.0463237
+0.0471449
+0.0478977
+0.0486698
+0.0495268
+0.0504622
+0.0514717
+0.0525524
+0.0536981
+0.0549071
+0.0561755
+0.0574994
+0.0588751
+0.0602991
+0.0617679
+0.0632784
+0.0648279
+0.0664134
+0.0680325
+0.0857732
+0.0843441
+0.0828877
+0.0814353
+0.0800165
+0.0786331
+0.0772302
+0.0758606
+0.074455
+0.0730728
+0.071731
+0.0704317
+0.0691185
+0.0677981
+0.0665231
+0.0652634
+0.0640179
+0.0627544
+0.0615134
+0.0603164
+0.0591709
+0.0580727
+0.0569811
+0.0558936
+0.0548534
+0.0538823
+0.0529832
+0.0521529
+0.0512783
+0.0503227
+0.0494349
+0.0486235
+0.0478396
+0.0471258
+0.0464956
+0.0458941
+0.0453865
+0.044979
+0.0442
+0.0434674
+0.0428064
+0.042222
+0.0417359
+0.041339
+0.0410541
+0.0408847
+0.0408134
+0.0408183
+0.0409327
+0.0411634
+0.0415034
+0.0419382
+0.0424817
+0.0430754
+0.0437607
+0.0445433
+0.0454182
+0.0463801
+0.0474182
+0.0485221
+0.049698
+0.0489494
+0.047797
+0.046719
+0.0457206
+0.0448071
+0.0439839
+0.043254
+0.0426149
+0.0420802
+0.0416541
+0.0413398
+0.0411398
+0.041056
+0.041089
+0.0412303
+0.0414727
+0.0418286
+0.0422928
+0.0428562
+0.0435227
+0.0442876
+0.0451414
+0.0458554
+0.0466613
+0.0475521
+0.0485233
+0.0495723
+0.0506935
+0.0518803
+0.0531306
+0.0544405
+0.0558056
+0.057222
+0.0586861
+0.0601942
+0.0617433
+0.0633303
+0.0649524
+0.0666071
+0.0841448
+0.0826875
+0.0812631
+0.079798
+0.0783495
+0.0769361
+0.0755508
+0.0741502
+0.0727881
+0.0713736
+0.0699992
+0.0686671
+0.06738
+0.0660475
+0.0647386
+0.0634692
+0.0622225
+0.0609708
+0.0597029
+0.0584786
+0.0572974
+0.0561757
+0.0550896
+0.053987
+0.0529179
+0.0519106
+0.0509776
+0.0501185
+0.0492863
+0.0483419
+0.047425
+0.0465786
+0.045791
+0.0450446
+0.044394
+0.043778
+0.0432469
+0.042819
+0.0421665
+0.0414001
+0.0407214
+0.040114
+0.039602
+0.0391909
+0.0388902
+0.0387114
+0.0386372
+0.0386456
+0.0387664
+0.03901
+0.0393675
+0.0398257
+0.0403922
+0.0410057
+0.0417251
+0.0425451
+0.0434603
+0.0444646
+0.0455367
+0.046685
+0.0479061
+0.047129
+0.045931
+0.0448081
+0.0437661
+0.042811
+0.0419486
+0.0411848
+0.040515
+0.0399522
+0.0395031
+0.0391715
+0.0389605
+0.038872
+0.0389068
+0.0390543
+0.0393102
+0.0396854
+0.040172
+0.0407647
+0.0414647
+0.0422669
+0.0430799
+0.0438274
+0.0446674
+0.0455948
+0.0466067
+0.0476979
+0.0488621
+0.0500923
+0.0513862
+0.0527393
+0.0541474
+0.0556061
+0.0571116
+0.0586602
+0.0602488
+0.0618741
+0.0635334
+0.0652241
+0.0825423
+0.0810562
+0.0796026
+0.0781834
+0.0767089
+0.0752647
+0.0738573
+0.0724656
+0.0710718
+0.0697018
+0.0682938
+0.0669278
+0.0656065
+0.0643237
+0.0629792
+0.061683
+0.0604173
+0.0591766
+0.0579188
+0.0566565
+0.0554471
+0.0542873
+0.0531843
+0.0520963
+0.051003
+0.0499571
+0.0489869
+0.0480952
+0.0472708
+0.0463799
+0.0454269
+0.0445476
+0.043755
+0.0429744
+0.0422919
+0.0416697
+0.0411127
+0.0406624
+0.0401494
+0.0393438
+0.0386385
+0.0380151
+0.0374747
+0.0370478
+0.0367296
+0.0365401
+0.0364628
+0.0364751
+0.036603
+0.0368609
+0.0372381
+0.0377221
+0.0383033
+0.0389494
+0.0397059
+0.0405669
+0.0415256
+0.0425674
+0.043684
+0.0448798
+0.0461486
+0.0453415
+0.0440949
+0.042924
+0.0418351
+0.0408348
+0.0399298
+0.0391266
+0.0384252
+0.0378314
+0.0373568
+0.037006
+0.0367825
+0.0366888
+0.0367257
+0.0368801
+0.0371509
+0.0375478
+0.038059
+0.0386841
+0.0394211
+0.0402607
+0.0410317
+0.0418132
+0.0426902
+0.0436596
+0.0447153
+0.0458515
+0.0470615
+0.0483375
+0.0496771
+0.0510756
+0.0525282
+0.0540306
+0.0555788
+0.057169
+0.0587979
+0.0604622
+0.0621592
+0.0638862
+0.0809416
+0.0794519
+0.0779684
+0.0765189
+0.0750953
+0.0736206
+0.0721811
+0.0707802
+0.0693816
+0.0679951
+0.0666167
+0.0652156
+0.0638589
+0.0625496
+0.0612476
+0.0599139
+0.0586318
+0.0573703
+0.0561251
+0.0548608
+0.0536161
+0.0524223
+0.0512877
+0.0501975
+0.0490975
+0.0480241
+0.047014
+0.046086
+0.0452392
+0.0443964
+0.0434438
+0.0425325
+0.0417019
+0.0409167
+0.0401993
+0.0395703
+0.0389848
+0.0385096
+0.0381308
+0.0373027
+0.0365655
+0.0359215
+0.0353551
+0.0349106
+0.0345727
+0.0343714
+0.0342904
+0.0343072
+0.0344431
+0.034717
+0.0351161
+0.035629
+0.036226
+0.0369084
+0.037706
+0.0386115
+0.0396172
+0.0406975
+0.0418639
+0.0431102
+0.0444296
+0.0435907
+0.0422925
+0.0410703
+0.0399309
+0.0388816
+0.03793
+0.0370835
+0.0363473
+0.035719
+0.0352159
+0.0348436
+0.0346062
+0.0345065
+0.0345457
+0.034708
+0.0349956
+0.0354166
+0.0359553
+0.0366163
+0.0373942
+0.0382728
+0.0389963
+0.0398148
+0.0407348
+0.0417496
+0.0428525
+0.0440367
+0.0452952
+0.0466196
+0.0480071
+0.0494529
+0.0509518
+0.0524994
+0.0540914
+0.055724
+0.0573939
+0.0590978
+0.0608329
+0.0625965
+0.0793234
+0.0778566
+0.0763621
+0.0748815
+0.0734364
+0.072005
+0.0705331
+0.0690988
+0.067705
+0.066299
+0.0649205
+0.0635329
+0.0621394
+0.0607931
+0.0594969
+0.0581736
+0.0568523
+0.0555799
+0.0543288
+0.0530769
+0.0518075
+0.0505821
+0.0494066
+0.048298
+0.0472143
+0.0461119
+0.0450613
+0.0440922
+0.0432096
+0.0423921
+0.0414816
+0.0405318
+0.0396632
+0.0388735
+0.0381177
+0.0374748
+0.036863
+0.0363614
+0.0359732
+0.0352795
+0.0344993
+0.0338293
+0.0332447
+0.0327718
+0.0324203
+0.0322056
+0.0321205
+0.0321423
+0.0322873
+0.0325794
+0.0330028
+0.033548
+0.0341628
+0.0348857
+0.0357284
+0.0366828
+0.037729
+0.0388611
+0.040081
+0.041381
+0.0427538
+0.0418813
+0.0405284
+0.0392513
+0.0380575
+0.0369551
+0.0359525
+0.0350583
+0.034281
+0.0336166
+0.0330816
+0.0326849
+0.0324317
+0.0323253
+0.0323672
+0.0325383
+0.032845
+0.0332913
+0.0338627
+0.0345638
+0.035385
+0.0362253
+0.0369754
+0.0378377
+0.0388046
+0.0398685
+0.041022
+0.0422576
+0.0435675
+0.0449428
+0.0463806
+0.0478754
+0.0494222
+0.0510162
+0.0526531
+0.054329
+0.0560405
+0.0577843
+0.0595576
+0.0611333
+0.0777332
+0.0762358
+0.0747727
+0.0732729
+0.0717955
+0.0703552
+0.0689152
+0.0674466
+0.0660179
+0.0646319
+0.0632178
+0.0618483
+0.0604504
+0.0590656
+0.0577306
+0.0564492
+0.0551023
+0.0537947
+0.052526
+0.0512858
+0.0500296
+0.04876
+0.0475521
+0.0464018
+0.0453069
+0.0442101
+0.0431314
+0.0421179
+0.0411961
+0.0403618
+0.0395086
+0.0385459
+0.0376415
+0.036831
+0.036049
+0.0353686
+0.0347494
+0.0342185
+0.0338183
+0.0332622
+0.0324493
+0.0317476
+0.0311454
+0.0306401
+0.0302735
+0.0300434
+0.0299536
+0.0299811
+0.0301366
+0.0304493
+0.030897
+0.0314699
+0.0321166
+0.0328844
+0.0337771
+0.0347831
+0.0358744
+0.0370632
+0.0383403
+0.0396974
+0.0411264
+0.0402186
+0.0388079
+0.0374721
+0.0362197
+0.0350596
+0.0340011
+0.0330542
+0.0322285
+0.0315263
+0.0309551
+0.0305309
+0.0302596
+0.0301456
+0.0301905
+0.0303717
+0.0307
+0.0311738
+0.0317833
+0.0325292
+0.0333942
+0.034181
+0.034975
+0.0358853
+0.0369034
+0.0380206
+0.0392285
+0.0405188
+0.0418831
+0.0433119
+0.0448021
+0.0463479
+0.047944
+0.0495855
+0.0512681
+0.0529878
+0.0547412
+0.0565115
+0.0580409
+0.0595831
+0.0761716
+0.0746441
+0.0731492
+0.0716886
+0.0701846
+0.0687106
+0.0672756
+0.0658259
+0.0643613
+0.0629388
+0.0615459
+0.0601384
+0.0587788
+0.0573697
+0.0559944
+0.0546722
+0.0533811
+0.0520342
+0.0507421
+0.0494774
+0.048234
+0.0469688
+0.0457192
+0.0445299
+0.04341
+0.0423311
+0.0412197
+0.0401661
+0.0391984
+0.0383272
+0.037499
+0.0365833
+0.0356373
+0.0347827
+0.0339957
+0.0332732
+0.0326461
+0.0320821
+0.0316549
+0.0312553
+0.0304189
+0.0296726
+0.0290501
+0.0285174
+0.0281334
+0.0278856
+0.0277904
+0.0278246
+0.0279921
+0.0283285
+0.0288024
+0.0294034
+0.0300907
+0.0309089
+0.031857
+0.0329084
+0.0340598
+0.0353097
+0.036648
+0.0380654
+0.0395535
+0.0386087
+0.0371368
+0.0357387
+0.0344233
+0.0332004
+0.0320807
+0.0310753
+0.0301956
+0.0294505
+0.0288383
+0.0283824
+0.0280904
+0.0279675
+0.0280159
+0.0282088
+0.0285619
+0.0290672
+0.0297199
+0.0305161
+0.03143
+0.0321559
+0.0329987
+0.0339621
+0.0350361
+0.036211
+0.0374772
+0.0388258
+0.0402475
+0.0417324
+0.0432769
+0.0448753
+0.0465219
+0.0482119
+0.0499408
+0.0517047
+0.0534221
+0.0549492
+0.0564908
+0.0580732
+0.074609
+0.0730815
+0.0715559
+0.0700636
+0.0686019
+0.0670972
+0.0656269
+0.0641965
+0.0627373
+0.0612772
+0.0598616
+0.0584605
+0.057061
+0.0557084
+0.054291
+0.0529263
+0.0516186
+0.0503075
+0.0489698
+0.0476923
+0.0464354
+0.0451847
+0.0439133
+0.0426863
+0.0415189
+0.0404181
+0.0393254
+0.0382401
+0.0372224
+0.0363077
+0.0354688
+0.034624
+0.0336481
+0.0327529
+0.0319589
+0.031191
+0.0305549
+0.0299535
+0.0294955
+0.0291341
+0.0283993
+0.0276119
+0.0269555
+0.0264058
+0.0259932
+0.0257334
+0.025632
+0.0256739
+0.0258553
+0.0262183
+0.0267233
+0.0273561
+0.0280895
+0.0289643
+0.029969
+0.0310749
+0.0322918
+0.0336075
+0.035011
+0.036492
+0.0378731
+0.0368697
+0.0355223
+0.034058
+0.0326749
+0.031384
+0.0301971
+0.0291267
+0.0281863
+0.0273891
+0.0267333
+0.0262409
+0.0259248
+0.0257916
+0.0258441
+0.0260505
+0.0264325
+0.0269739
+0.0276761
+0.0285224
+0.0293932
+0.0301541
+0.0310513
+0.0320732
+0.0332084
+0.0344456
+0.0357744
+0.0371848
+0.0386669
+0.0402101
+0.041811
+0.0434633
+0.0451615
+0.0469005
+0.0486759
+0.0503338
+0.0518582
+0.0533992
+0.0549826
+0.056597
+0.0730751
+0.0715187
+0.0699921
+0.0684686
+0.0669791
+0.0655163
+0.0640108
+0.0625447
+0.0611169
+0.0596497
+0.0581946
+0.0567867
+0.0553765
+0.0539859
+0.0526237
+0.0512146
+0.049862
+0.0485705
+0.0472327
+0.04591
+0.0446362
+0.0433978
+0.0421424
+0.0408642
+0.0396586
+0.0385217
+0.0374383
+0.0363292
+0.0352716
+0.0343058
+0.0334492
+0.0326077
+0.0316851
+0.0307435
+0.0299081
+0.0291247
+0.0284473
+0.0278328
+0.0273411
+0.0269686
+0.0263885
+0.0255727
+0.0248738
+0.0243082
+0.0238594
+0.0235883
+0.0234795
+0.0235306
+0.0237283
+0.0241165
+0.0246634
+0.0253321
+0.0261188
+0.0270574
+0.0281146
+0.0292906
+0.0305786
+0.0319649
+0.0334374
+0.0349851
+0.036142
+0.0350947
+0.0339724
+0.0324382
+0.0309829
+0.0296184
+0.0283576
+0.027215
+0.026206
+0.0253467
+0.0246433
+0.0241083
+0.0237638
+0.0236184
+0.0236757
+0.0238981
+0.0243127
+0.0248974
+0.0256565
+0.0265593
+0.0273646
+0.0281804
+0.0291384
+0.030225
+0.0314271
+0.0327317
+0.0341272
+0.0356029
+0.0371482
+0.038752
+0.0404107
+0.0421179
+0.0438682
+0.0456565
+0.0472468
+0.0487681
+0.0503084
+0.0518928
+0.0535107
+0.0551682
+0.0715755
+0.0699857
+0.0684292
+0.0669036
+0.0653823
+0.0638959
+0.0624297
+0.0609256
+0.0594641
+0.0580392
+0.0565633
+0.0551137
+0.0537144
+0.0522942
+0.0509137
+0.0495406
+0.048141
+0.0468021
+0.0455205
+0.0441612
+0.0428557
+0.0415863
+0.0403447
+0.0390796
+0.0378231
+0.0366402
+0.035532
+0.0344446
+0.0333503
+0.0323272
+0.031422
+0.03059
+0.0297438
+0.0287505
+0.0278676
+0.0270779
+0.026348
+0.0257235
+0.0251929
+0.0248074
+0.0243629
+0.0235513
+0.0228006
+0.0222097
+0.0217368
+0.0214503
+0.0213348
+0.0213968
+0.0216141
+0.0220308
+0.0226282
+0.0233309
+0.0241795
+0.0251875
+0.026312
+0.027565
+0.0289299
+0.0303915
+0.0319366
+0.0335537
+0.0344633
+0.0333634
+0.0323575
+0.0308889
+0.0293569
+0.027913
+0.0265714
+0.0253484
+0.024262
+0.0233311
+0.0225725
+0.021987
+0.0216088
+0.0214488
+0.0215119
+0.0217534
+0.0222035
+0.0228423
+0.0236617
+0.0246346
+0.025363
+0.0262411
+0.0272673
+0.0284256
+0.0297005
+0.0310777
+0.0325443
+0.0340886
+0.0356995
+0.0373655
+0.039083
+0.0408458
+0.0426483
+0.0441613
+0.0456792
+0.0472186
+0.0488041
+0.0504259
+0.0520894
+0.0537907
+0.0701122
+0.0684885
+0.0668971
+0.0653405
+0.063816
+0.0622971
+0.0608143
+0.0593431
+0.0578417
+0.0563855
+0.0549624
+0.0534782
+0.0520349
+0.0506408
+0.0492139
+0.0478448
+0.0464596
+0.0450707
+0.0437476
+0.042444
+0.0410937
+0.0398075
+0.0385441
+0.0372953
+0.036021
+0.0347917
+0.0336363
+0.0325472
+0.0314413
+0.0303774
+0.029414
+0.0285615
+0.0277188
+0.0267869
+0.0258511
+0.0250428
+0.0242648
+0.0236291
+0.0230528
+0.022652
+0.0223268
+0.0215336
+0.0207512
+0.0201184
+0.0196293
+0.0193167
+0.0191978
+0.0192758
+0.0195168
+0.0199676
+0.0206101
+0.0213598
+0.0222835
+0.0233645
+0.0245725
+0.0259098
+0.0273573
+0.0288986
+0.0305194
+0.0322077
+0.0328449
+0.0316891
+0.0306279
+0.0294212
+0.0278086
+0.0262797
+0.0248501
+0.0235378
+0.0223636
+0.0213501
+0.0205213
+0.0198809
+0.0194618
+0.019284
+0.0193507
+0.0196188
+0.0201118
+0.0208148
+0.0217012
+0.0226192
+0.0233954
+0.0243445
+0.0254473
+0.0266847
+0.0280389
+0.0294938
+0.0310353
+0.0326511
+0.0343295
+0.0360589
+0.0378357
+0.0396163
+0.0410777
+0.0425915
+0.0441299
+0.0457167
+0.0473429
+0.0490131
+0.0507229
+0.0524685
+0.0685656
+0.0670294
+0.0654026
+0.0638095
+0.0622527
+0.0607294
+0.0592133
+0.0577344
+0.0562578
+0.0547595
+0.0533077
+0.0518758
+0.0503947
+0.0489585
+0.0475543
+0.046136
+0.0447799
+0.043381
+0.0420046
+0.0406996
+0.0393708
+0.0380311
+0.0367503
+0.0355115
+0.0342527
+0.0329698
+0.0317676
+0.0306498
+0.0295696
+0.0284583
+0.0274319
+0.0265408
+0.0257151
+0.0248613
+0.0238534
+0.022988
+0.0222024
+0.0215301
+0.0209231
+0.0204975
+0.0201696
+0.019514
+0.0187295
+0.0180362
+0.0175421
+0.0171953
+0.0170726
+0.0171623
+0.0174424
+0.0179346
+0.0186264
+0.0194357
+0.0204465
+0.0216098
+0.0229105
+0.0243393
+0.0258749
+0.0274993
+0.0291979
+0.0309565
+0.0312962
+0.0300796
+0.0289607
+0.0279174
+0.0263515
+0.0247327
+0.023208
+0.0217971
+0.0205235
+0.0194142
+0.0184989
+0.0177951
+0.0173257
+0.0171257
+0.0171969
+0.0174981
+0.0180435
+0.0188206
+0.0197891
+0.0206225
+0.0214709
+0.0225014
+0.0236902
+0.0250146
+0.0264545
+0.0279919
+0.0296116
+0.031301
+0.033048
+0.0348411
+0.0365432
+0.0379965
+0.0395055
+0.0410426
+0.0426308
+0.0442619
+0.0459397
+0.047659
+0.0494048
+0.0511352
+0.067021
+0.0654804
+0.0639482
+0.0623179
+0.0607229
+0.059166
+0.0576441
+0.0561311
+0.0546566
+0.053174
+0.0516792
+0.0502293
+0.0487907
+0.0473131
+0.0458851
+0.0444694
+0.0430609
+0.0417199
+0.0403053
+0.0389435
+0.0376599
+0.0362993
+0.0349748
+0.0336987
+0.0324593
+0.0311951
+0.0299283
+0.0287553
+0.0276587
+0.0265572
+0.0254838
+0.0245238
+0.0236782
+0.0228341
+0.021889
+0.0209607
+0.0201643
+0.0194244
+0.0188048
+0.0183328
+0.017992
+0.0174726
+0.016704
+0.0159765
+0.0154471
+0.0150903
+0.0149563
+0.0150692
+0.0153977
+0.0159435
+0.0166773
+0.0175741
+0.0186787
+0.0199415
+0.0213442
+0.022871
+0.0244988
+0.0262087
+0.0279817
+0.0298098
+0.0298136
+0.0285348
+0.0273528
+0.0262611
+0.0249996
+0.0232893
+0.0216632
+0.0201444
+0.0187589
+0.0175384
+0.0165195
+0.0157379
+0.0152051
+0.0149768
+0.0150539
+0.0153968
+0.0160078
+0.0168665
+0.0178201
+0.0186693
+0.0196025
+0.0207261
+0.0220109
+0.0234305
+0.0249619
+0.0265857
+0.0282861
+0.0300501
+0.0318658
+0.0334747
+0.0349183
+0.0364215
+0.0379571
+0.0395468
+0.0411835
+0.0428698
+0.0445999
+0.0463346
+0.0480757
+0.0497988
+0.0655133
+0.0639363
+0.0623964
+0.0608686
+0.0592346
+0.0576375
+0.0560806
+0.0545602
+0.0530507
+0.0515809
+0.050092
+0.0486011
+0.0471534
+0.0457074
+0.0442338
+0.0428152
+0.0413865
+0.0399894
+0.0386555
+0.0372334
+0.0358887
+0.0345953
+0.0332282
+0.0319265
+0.0306565
+0.0294107
+0.0281323
+0.0268995
+0.0257635
+0.024694
+0.0235669
+0.0225373
+0.0216671
+0.0208221
+0.0199717
+0.018957
+0.0181187
+0.0173398
+0.0167047
+0.0161751
+0.015818
+0.0154602
+0.0146817
+0.0139567
+0.0133687
+0.0130127
+0.0128649
+0.0130083
+0.0133886
+0.0140121
+0.0147931
+0.0157963
+0.0170051
+0.0183833
+0.0198962
+0.0215259
+0.0232464
+0.0250369
+0.0268867
+0.0287844
+0.0284052
+0.027079
+0.0258307
+0.024687
+0.0236566
+0.0219611
+0.020238
+0.0186032
+0.0170932
+0.0157441
+0.0146005
+0.0137138
+0.0131076
+0.0128421
+0.0129226
+0.0133175
+0.0140187
+0.014978
+0.0159012
+0.0167749
+0.0178077
+0.0190375
+0.0204288
+0.0219509
+0.0235786
+0.0252914
+0.0270732
+0.0289113
+0.0304122
+0.0318439
+0.0333402
+0.0348738
+0.0364652
+0.0381084
+0.0398043
+0.0415466
+0.0432684
+0.0450214
+0.0467225
+0.0484537
+0.0640268
+0.062431
+0.060853
+0.0593139
+0.0577872
+0.0561529
+0.0545536
+0.0529966
+0.051478
+0.0499723
+0.0485048
+0.0470121
+0.0455257
+0.0440807
+0.0426262
+0.0411574
+0.0397497
+0.038306
+0.0369223
+0.0355761
+0.0341662
+0.032842
+0.0315182
+0.0301625
+0.0288713
+0.0276267
+0.0263667
+0.0250781
+0.0238816
+0.0227746
+0.0216796
+0.0205921
+0.0196375
+0.0188028
+0.0179569
+0.0169914
+0.0160745
+0.0152849
+0.0146227
+0.0140276
+0.0136493
+0.0134566
+0.0126527
+0.0119308
+0.0113083
+0.0109687
+0.0108129
+0.0109977
+0.0114454
+0.0121592
+0.0130052
+0.014121
+0.0154614
+0.0169654
+0.018594
+0.0203238
+0.0221339
+0.0240075
+0.0259309
+0.0278937
+0.0271009
+0.0257135
+0.0244105
+0.0231987
+0.0221036
+0.020726
+0.0189418
+0.0172034
+0.0155582
+0.0140626
+0.0127693
+0.0117452
+0.0110463
+0.0107299
+0.0108108
+0.0112799
+0.0120833
+0.0130242
+0.014047
+0.0149617
+0.016111
+0.0174608
+0.0189681
+0.0205985
+0.022325
+0.0241269
+0.0259883
+0.0273578
+0.0287747
+0.0302623
+0.0317934
+0.0333866
+0.0350372
+0.0367443
+0.0384841
+0.040207
+0.0419487
+0.0436493
+0.0453801
+0.0470859
+0.0625178
+0.0609455
+0.0593503
+0.0577712
+0.0562332
+0.0547057
+0.0530731
+0.0514714
+0.0499144
+0.0483979
+0.0468936
+0.045431
+0.0439348
+0.0424521
+0.0410119
+0.0395476
+0.0380844
+0.0366762
+0.0352286
+0.0338609
+0.0325001
+0.0311051
+0.029806
+0.0284456
+0.0271043
+0.0258179
+0.0245809
+0.0233202
+0.0220363
+0.0208809
+0.0198057
+0.0186793
+0.0176447
+0.0167794
+0.0159324
+0.015088
+0.0140621
+0.0132558
+0.0125053
+0.0118959
+0.011489
+0.0113098
+0.0106308
+0.00991464
+0.0093067
+0.00890988
+0.00882775
+0.00905993
+0.00960921
+0.0103883
+0.0113502
+0.0126048
+0.0140901
+0.0157245
+0.0174619
+0.0192918
+0.0211902
+0.0231404
+0.0251302
+0.0271509
+0.0259164
+0.0244619
+0.0230883
+0.0218267
+0.0206582
+0.0196294
+0.0177472
+0.0159435
+0.0141938
+0.0125393
+0.0110694
+0.0098705
+0.00903236
+0.00864256
+0.0087379
+0.00931205
+0.01025
+0.0111405
+0.0122388
+0.0132628
+0.0145471
+0.016029
+0.017659
+0.0193997
+0.0212239
+0.0229965
+0.0243111
+0.0257123
+0.027189
+0.0287169
+0.030312
+0.0319713
+0.0336913
+0.0354157
+0.0371518
+0.0388685
+0.04058
+0.0423015
+0.0440126
+0.0457644
+0.0610201
+0.0594375
+0.0578659
+0.0562716
+0.0546913
+0.0531544
+0.0516262
+0.0499956
+0.0483912
+0.0468342
+0.0453202
+0.0438176
+0.0423606
+0.0408606
+0.0393782
+0.0379477
+0.0364722
+0.0350159
+0.0335924
+0.0321552
+0.0308069
+0.0294288
+0.0280522
+0.0267762
+0.0253792
+0.0240562
+0.0227765
+0.0215289
+0.0202513
+0.0190125
+0.0178983
+0.0168142
+0.0157048
+0.0147591
+0.0139437
+0.0130666
+0.0120946
+0.011198
+0.0104181
+0.00978483
+0.00934291
+0.00912227
+0.00864424
+0.00788326
+0.00732492
+0.00693244
+0.00690557
+0.00721986
+0.00791174
+0.00879566
+0.00989457
+0.0113118
+0.0129463
+0.014696
+0.0165418
+0.0184631
+0.0204386
+0.0224541
+0.0244997
+0.0263617
+0.0248339
+0.0233491
+0.0219054
+0.0205713
+0.0193534
+0.0182593
+0.016718
+0.0148174
+0.0129764
+0.0112233
+0.00957117
+0.00815492
+0.00711754
+0.00661586
+0.00673994
+0.00745147
+0.00834831
+0.00936236
+0.0105564
+0.0117283
+0.0131631
+0.0147844
+0.0165375
+0.0183689
+0.0200009
+0.021275
+0.0226597
+0.024122
+0.0256454
+0.0272428
+0.0289122
+0.0306473
+0.032353
+0.0341043
+0.0357913
+0.0375153
+0.0392207
+0.040943
+0.0427083
+0.0445082
+0.0595654
+0.0579431
+0.0563591
+0.0547885
+0.0531924
+0.0516109
+0.0500753
+0.0485492
+0.0469208
+0.0453134
+0.0437566
+0.0422455
+0.040745
+0.0392933
+0.0377903
+0.0363084
+0.0348896
+0.0334006
+0.0319531
+0.0305115
+0.029087
+0.0277626
+0.0263638
+0.0250104
+0.0236963
+0.0223152
+0.0210071
+0.0197528
+0.0184839
+0.0171928
+0.016008
+0.0149241
+0.0137994
+0.0127568
+0.0119006
+0.0110505
+0.0102007
+0.00917019
+0.0083771
+0.00771778
+0.00719396
+0.00693662
+0.00658444
+0.00586879
+0.00530049
+0.00500743
+0.00513326
+0.00559517
+0.00642415
+0.00748584
+0.00875081
+0.0103262
+0.0120924
+0.0139386
+0.0158726
+0.017866
+0.019901
+0.0219659
+0.024053
+0.0254849
+0.0239009
+0.0223898
+0.0208739
+0.0194713
+0.0181789
+0.0170314
+0.0158931
+0.0138834
+0.0119374
+0.0100883
+0.00834503
+0.00672136
+0.00541604
+0.00473748
+0.00489035
+0.00572162
+0.00656608
+0.00772477
+0.00909309
+0.0104307
+0.0120214
+0.0137627
+0.0155984
+0.0170419
+0.0182599
+0.0196213
+0.0210641
+0.0225814
+0.0241809
+0.0258624
+0.0275893
+0.0292977
+0.031037
+0.0327182
+0.0344437
+0.0361425
+0.0378781
+0.0396588
+0.0414557
+0.0432689
+0.0581569
+0.0564941
+0.0548684
+0.0532831
+0.0517135
+0.0501155
+0.0485326
+0.0469985
+0.0454749
+0.0438493
+0.0422386
+0.0406822
+0.0391745
+0.0376765
+0.0362252
+0.0347249
+0.0332438
+0.0318319
+0.0303339
+0.0288978
+0.0274344
+0.026026
+0.0247125
+0.0233075
+0.0219843
+0.0206218
+0.0192552
+0.0179527
+0.0167114
+0.01546
+0.0141516
+0.0130358
+0.0119758
+0.0108275
+0.00990082
+0.00905268
+0.00818102
+0.0072001
+0.00635115
+0.0056069
+0.00502857
+0.00475553
+0.00460653
+0.00380089
+0.00321283
+0.00313329
+0.00359808
+0.00432882
+0.00539542
+0.00665644
+0.00805275
+0.00972258
+0.0115388
+0.0134611
+0.015455
+0.017496
+0.0195695
+0.021666
+0.0237795
+0.0247712
+0.0231383
+0.0215731
+0.0200244
+0.0185567
+0.0171951
+0.0160024
+0.0149434
+0.0132457
+0.0111894
+0.00919538
+0.00731477
+0.00563462
+0.0041165
+0.00319877
+0.00336636
+0.004026
+0.00494022
+0.00631456
+0.00790462
+0.00945504
+0.0111342
+0.012883
+0.0141344
+0.0152779
+0.016605
+0.01802
+0.019528
+0.0211296
+0.0228256
+0.0245276
+0.0262525
+0.0279563
+0.0296502
+0.0313627
+0.0330679
+0.034819
+0.0366146
+0.0384097
+0.040241
+0.0421066
+0.0567913
+0.0550941
+0.0534258
+0.0517965
+0.0502097
+0.0486414
+0.0470414
+0.0454571
+0.0439248
+0.0424041
+0.0407818
+0.0391675
+0.0376116
+0.0361081
+0.0346134
+0.0331625
+0.0316641
+0.0301861
+0.028766
+0.0272737
+0.0258354
+0.0243627
+0.0229748
+0.0216527
+0.020264
+0.0189663
+0.0175557
+0.0162029
+0.0149164
+0.0136609
+0.0123927
+0.0111418
+0.010059
+0.00893987
+0.00788194
+0.00704858
+0.00619501
+0.00530021
+0.00428529
+0.00351368
+0.00289586
+0.00258009
+0.00252675
+0.00183773
+0.00122924
+0.00152066
+0.00249081
+0.00371286
+0.00501143
+0.006355
+0.00781114
+0.00951533
+0.0113647
+0.0133122
+0.0153255
+0.0173817
+0.0194673
+0.0215738
+0.0236955
+0.0242268
+0.0225633
+0.0209545
+0.0193609
+0.017852
+0.016446
+0.015183
+0.014082
+0.0129516
+0.0108397
+0.00876655
+0.00676782
+0.00493485
+0.00347374
+0.00244964
+0.0022678
+0.00266524
+0.0037255
+0.00519162
+0.00675346
+0.00837456
+0.0100741
+0.011315
+0.0123532
+0.0136255
+0.014998
+0.0164909
+0.0180942
+0.0198078
+0.0214764
+0.0232213
+0.0248798
+0.0265893
+0.0282854
+0.0299983
+0.0317675
+0.033562
+0.0353729
+0.0372246
+0.0391113
+0.0410211
+0.0554089
+0.0537254
+0.0520356
+0.0503612
+0.0487275
+0.0471362
+0.0455729
+0.0439707
+0.0423848
+0.0408548
+0.0393377
+0.0377194
+0.036101
+0.0345459
+0.0330477
+0.031557
+0.0301072
+0.0286053
+0.0271375
+0.0257077
+0.0242202
+0.0227585
+0.0212986
+0.0199382
+0.018604
+0.0172399
+0.0159431
+0.0145032
+0.0131707
+0.0119119
+0.0106248
+0.00933006
+0.00818255
+0.00715144
+0.00596809
+0.00506742
+0.00417276
+0.00332375
+0.0023145
+0.00151883
+0.000792213
+0.000418029
+0.000356489
+-5.84624e-05
+-0.000522871
+0.000367754
+0.00216764
+0.00395257
+0.00532368
+0.00667505
+0.00816241
+0.00980574
+0.0116089
+0.0135213
+0.0155075
+0.0175424
+0.0196109
+0.0217035
+0.0238136
+0.0238415
+0.0221419
+0.0204978
+0.0188764
+0.0173254
+0.015906
+0.0146223
+0.0134771
+0.0124381
+0.0109268
+0.00887401
+0.00690646
+0.00508661
+0.00359933
+0.00247143
+0.001884
+0.00200543
+0.00299581
+0.00435753
+0.00582435
+0.00738908
+0.00852592
+0.00951573
+0.0106993
+0.0120148
+0.013481
+0.0150843
+0.0167666
+0.0184408
+0.0201694
+0.0218094
+0.0235233
+0.0252076
+0.0269352
+0.0287238
+0.0305145
+0.0323476
+0.0342228
+0.0361335
+0.0380266
+0.0399469
+0.0540574
+0.052352
+0.0506635
+0.048982
+0.0473003
+0.0456593
+0.0440661
+0.0425086
+0.0409042
+0.0393166
+0.0377894
+0.0362766
+0.0346632
+0.0330404
+0.0314866
+0.0299945
+0.0285097
+0.0270616
+0.0255559
+0.0241016
+0.0226603
+0.0211791
+0.0196883
+0.0182456
+0.0169234
+0.0155748
+0.0142468
+0.0128897
+0.011451
+0.0101397
+0.00889226
+0.00763106
+0.00630209
+0.00525017
+0.00416937
+0.00308246
+0.00224071
+0.00133071
+0.000401428
+-0.00055315
+-0.00130036
+-0.00169219
+-0.00165866
+-0.00199244
+-0.00138088
+0.000442558
+0.00248097
+0.00449214
+0.0062303
+0.00749598
+0.00885906
+0.0104498
+0.0121943
+0.0140545
+0.0159903
+0.0179707
+0.019995
+0.0220511
+0.0241309
+0.0235901
+0.0218902
+0.0202325
+0.0186312
+0.017066
+0.015623
+0.0143595
+0.0132122
+0.0121295
+0.0110611
+0.0094263
+0.00757532
+0.00593056
+0.00455242
+0.00339964
+0.0025633
+0.0022744
+0.00272507
+0.0038175
+0.00514773
+0.00588172
+0.00676174
+0.00787481
+0.00908218
+0.0104998
+0.0121189
+0.0137325
+0.0154301
+0.0170965
+0.0187482
+0.0204398
+0.022132
+0.0238811
+0.0256714
+0.0274783
+0.0293376
+0.0312398
+0.0331357
+0.0350501
+0.0369641
+0.0388955
+0.0525783
+0.0509837
+0.0492969
+0.0476062
+0.0459333
+0.0442417
+0.0425955
+0.0410003
+0.0394496
+0.0378427
+0.0362535
+0.0347297
+0.0332223
+0.0316152
+0.0299876
+0.0284356
+0.0269485
+0.0254746
+0.0240294
+0.0225199
+0.0210838
+0.0196288
+0.0181574
+0.0166284
+0.0152016
+0.013935
+0.0125793
+0.0112693
+0.00985291
+0.00841742
+0.00714161
+0.00586649
+0.00462891
+0.00339385
+0.00234047
+0.00125333
+0.000365082
+-0.000509884
+-0.00145744
+-0.00219553
+-0.00220282
+-0.00222414
+-0.00203511
+-0.0017239
+-0.000461458
+0.00116619
+0.00301224
+0.00495253
+0.00697892
+0.00870109
+0.00996949
+0.0114145
+0.0130304
+0.0147858
+0.0166448
+0.0185762
+0.0205596
+0.0225814
+0.0246321
+0.0230122
+0.0214614
+0.0200304
+0.0185717
+0.0170594
+0.0156423
+0.014383
+0.0132479
+0.0121571
+0.0111439
+0.010061
+0.00870219
+0.00723012
+0.00594349
+0.0047184
+0.0037178
+0.00305359
+0.00289967
+0.00362585
+0.00378576
+0.00418233
+0.00515221
+0.00626515
+0.00759425
+0.00913161
+0.0107352
+0.0124494
+0.0140336
+0.0157015
+0.0173613
+0.0190636
+0.020837
+0.0226216
+0.0244577
+0.026348
+0.0282475
+0.0301539
+0.0320705
+0.0339976
+0.0359549
+0.0379115
+0.0511387
+0.0495091
+0.0479131
+0.0462475
+0.0445545
+0.0428883
+0.0411889
+0.039537
+0.0379397
+0.0363973
+0.0347878
+0.0331968
+0.0316776
+0.0301712
+0.028578
+0.026945
+0.0253961
+0.023916
+0.0224556
+0.0210164
+0.0195034
+0.0180931
+0.0166207
+0.0151259
+0.0135858
+0.0121806
+0.0109583
+0.00964371
+0.00830043
+0.00687101
+0.00545326
+0.00421136
+0.00292413
+0.00172541
+0.00066387
+-0.000317648
+-0.00118775
+-0.001212
+-0.000791426
+-0.000196356
+-0.00034781
+-0.000836185
+-0.000649019
+-0.000554377
+7.96735e-05
+0.00167995
+0.0033088
+0.00523519
+0.007204
+0.00925137
+0.0113061
+0.0126751
+0.0141592
+0.0157896
+0.0175425
+0.0193847
+0.0212929
+0.023251
+0.0239111
+0.0222131
+0.0206022
+0.0191071
+0.0177569
+0.0165674
+0.0155715
+0.0146927
+0.0136005
+0.0125506
+0.0115957
+0.0105559
+0.00952263
+0.00864707
+0.00747087
+0.00614166
+0.00510453
+0.00402829
+0.00345884
+0.00278336
+0.00246417
+0.00273277
+0.00370195
+0.00483042
+0.0061598
+0.00777191
+0.00943987
+0.0109874
+0.0126601
+0.0142915
+0.0160067
+0.0177871
+0.0195871
+0.0214591
+0.0233636
+0.0252587
+0.0271786
+0.0290999
+0.0310568
+0.033023
+0.0349321
+0.0368401
+0.0497526
+0.0480768
+0.0464432
+0.0448463
+0.0431967
+0.0415098
+0.0398413
+0.0381434
+0.0364851
+0.0348857
+0.0333534
+0.0317412
+0.0301487
+0.0286353
+0.0271302
+0.0255554
+0.0239167
+0.0223726
+0.0209027
+0.0194599
+0.0180321
+0.0165171
+0.0151222
+0.0136051
+0.0121109
+0.0105756
+0.00921113
+0.00802784
+0.00678372
+0.00538485
+0.00388459
+0.00262268
+0.00136872
+0.000440889
+-0.000458879
+-0.000791134
+-9.27843e-05
+0.000655084
+0.00123517
+0.0016374
+0.000810903
+0.000729095
+0.0010125
+0.00103391
+0.000824621
+0.00198562
+0.00366248
+0.00528909
+0.00709375
+0.00904863
+0.0110624
+0.013133
+0.0152372
+0.0170176
+0.0186555
+0.0203974
+0.0222189
+0.0241019
+0.0233495
+0.0216074
+0.0199477
+0.0183994
+0.0169931
+0.0157461
+0.0146946
+0.0139111
+0.0134427
+0.0132493
+0.0123571
+0.0113804
+0.0104131
+0.00958924
+0.00893295
+0.00733329
+0.00580906
+0.00447574
+0.00325453
+0.00226026
+0.00158393
+0.00157485
+0.00218487
+0.00330745
+0.00477665
+0.00639197
+0.0079585
+0.00958657
+0.0112301
+0.012953
+0.0147331
+0.016576
+0.0184875
+0.020365
+0.0222875
+0.0242025
+0.0261589
+0.0281381
+0.0300423
+0.0319458
+0.0338768
+0.0357603
+0.0483885
+0.0467023
+0.0450198
+0.0433818
+0.0417842
+0.0401455
+0.0384715
+0.0367978
+0.0351071
+0.0334418
+0.0318402
+0.0303124
+0.0287056
+0.0271118
+0.0256064
+0.0241036
+0.0225348
+0.0209089
+0.0193728
+0.0179184
+0.0165017
+0.0150815
+0.0135607
+0.0121408
+0.0106138
+0.00915153
+0.00762775
+0.00636539
+0.00513521
+0.00397001
+0.00261792
+0.00119307
+0.000279018
+-0.000290359
+-0.000118548
+0.000631137
+0.00156862
+0.00245353
+0.00294095
+0.00233146
+0.00248792
+0.00258191
+0.00240331
+0.00239557
+0.0021289
+0.00271724
+0.00401692
+0.00553023
+0.00728036
+0.0091432
+0.0111123
+0.0131242
+0.0151857
+0.017279
+0.0193933
+0.021451
+0.0233145
+0.024819
+0.0229838
+0.0212117
+0.0195184
+0.0179331
+0.0164871
+0.0151986
+0.0141063
+0.0132882
+0.0127971
+0.0126702
+0.012851
+0.0125015
+0.0115842
+0.0108493
+0.00926041
+0.00769101
+0.00623121
+0.00487888
+0.00349264
+0.00232923
+0.00131026
+0.000588887
+0.000926535
+0.00195779
+0.00343345
+0.00497814
+0.00653555
+0.00817238
+0.00989985
+0.0117023
+0.0136041
+0.0154744
+0.0173967
+0.0193056
+0.0212612
+0.0232587
+0.0251529
+0.0270529
+0.0289788
+0.0308747
+0.0327716
+0.034703
+0.0470286
+0.0453418
+0.0436587
+0.0419689
+0.0403259
+0.0387278
+0.0371021
+0.0354343
+0.0337643
+0.0320827
+0.0304096
+0.028806
+0.027284
+0.025685
+0.0240906
+0.0225962
+0.0210978
+0.0195333
+0.0179318
+0.0164095
+0.0149804
+0.0135723
+0.01216
+0.0106725
+0.00922003
+0.00770087
+0.00627188
+0.00479442
+0.00376817
+0.00253115
+0.00148828
+0.000567928
+0.000256279
+0.000571973
+0.00136141
+0.00231301
+0.00334466
+0.00413654
+0.00363306
+0.00360691
+0.00386517
+0.00444977
+0.00390708
+0.0035177
+0.00321053
+0.003538
+0.00449928
+0.00595374
+0.00764764
+0.00941362
+0.0112796
+0.0132191
+0.0152008
+0.0172143
+0.0192534
+0.0213226
+0.023414
+0.0244115
+0.0226855
+0.0210252
+0.0193294
+0.0177272
+0.0162629
+0.0149453
+0.0138331
+0.0129978
+0.0124952
+0.0123635
+0.0125465
+0.0130973
+0.013021
+0.0113666
+0.00983004
+0.00844521
+0.00709828
+0.00561518
+0.00426872
+0.00308938
+0.0017839
+0.000757736
+1.76979e-05
+0.000793476
+0.00204208
+0.00351063
+0.00511215
+0.00684763
+0.00871891
+0.0105911
+0.0125015
+0.0144099
+0.016364
+0.0183306
+0.0202653
+0.0221616
+0.0240809
+0.025994
+0.0278787
+0.0298052
+0.0317658
+0.0337443
+0.045685
+0.0439958
+0.0423016
+0.0406203
+0.0389254
+0.037277
+0.0356786
+0.0340686
+0.0324068
+0.0307415
+0.029069
+0.027392
+0.0257869
+0.0242727
+0.0226853
+0.0210917
+0.0196135
+0.0181222
+0.0165664
+0.0150038
+0.0135064
+0.0121223
+0.010728
+0.00935282
+0.00790287
+0.00640959
+0.00493103
+0.00365336
+0.00245777
+0.00149992
+0.000998862
+0.000776601
+0.00117724
+0.00203873
+0.00319437
+0.00411509
+0.00513904
+0.00503329
+0.00492871
+0.00519116
+0.00565004
+0.0054652
+0.00539284
+0.00467081
+0.00431096
+0.00431372
+0.00510671
+0.00637572
+0.00790569
+0.00961833
+0.0114606
+0.0133736
+0.0153353
+0.0173332
+0.0193598
+0.0214188
+0.0234935
+0.0239979
+0.0222309
+0.0205338
+0.0189384
+0.0174724
+0.0161711
+0.0149586
+0.0138474
+0.0130131
+0.0125111
+0.0123795
+0.0125623
+0.0131124
+0.0137035
+0.0121197
+0.0107492
+0.00952043
+0.0080721
+0.00666294
+0.0054002
+0.00420959
+0.00293781
+0.00161171
+0.00032419
+-0.000597823
+0.000663243
+0.00206536
+0.00384191
+0.00573373
+0.0076039
+0.00951709
+0.011468
+0.0134376
+0.0153824
+0.0172704
+0.0191835
+0.0211216
+0.0229882
+0.0249076
+0.0268683
+0.0288492
+0.0308126
+0.0327685
+0.0443538
+0.0426525
+0.0409656
+0.0392705
+0.0375855
+0.0358913
+0.034237
+0.0326386
+0.0310403
+0.029394
+0.0277208
+0.0260727
+0.0243947
+0.022789
+0.0212831
+0.0197136
+0.0181261
+0.0166666
+0.0151856
+0.0136467
+0.01216
+0.0106699
+0.0093877
+0.0080581
+0.0067111
+0.00537198
+0.00392097
+0.00270816
+0.00188028
+0.00124072
+0.00138973
+0.00188566
+0.00259461
+0.00371481
+0.00487684
+0.00605139
+0.00625663
+0.0060518
+0.00634685
+0.00685774
+0.00704279
+0.00655267
+0.00659289
+0.00573756
+0.00527464
+0.00535899
+0.00599911
+0.00706366
+0.0084464
+0.010071
+0.0118285
+0.013677
+0.0156028
+0.0175292
+0.0194883
+0.0214842
+0.0235083
+0.0237529
+0.0219861
+0.0202686
+0.0186505
+0.0171599
+0.015833
+0.0146972
+0.0137683
+0.0131424
+0.0128639
+0.0127768
+0.012954
+0.0134881
+0.0143236
+0.0129998
+0.0118594
+0.0106739
+0.00927577
+0.00793299
+0.00685309
+0.00561984
+0.00413957
+0.00256716
+0.00100161
+-0.000553041
+-0.000811783
+0.000868726
+0.00270729
+0.00462663
+0.00657569
+0.00855102
+0.0104867
+0.0123823
+0.0142867
+0.016249
+0.018102
+0.0200105
+0.021971
+0.0239557
+0.0259186
+0.0278736
+0.0298531
+0.0318603
+0.0430673
+0.0413386
+0.039629
+0.0379436
+0.0362508
+0.034562
+0.0328691
+0.0312084
+0.0296106
+0.0280216
+0.026401
+0.0247194
+0.0231031
+0.0214261
+0.0198177
+0.0183164
+0.016784
+0.0152073
+0.0137682
+0.0123283
+0.0108063
+0.00942507
+0.00801942
+0.00685506
+0.00566007
+0.00429611
+0.00331266
+0.00229684
+0.00179398
+0.00179206
+0.00243291
+0.00323361
+0.00416674
+0.00538093
+0.00664407
+0.00748094
+0.00727838
+0.0073499
+0.00776869
+0.00850079
+0.00811784
+0.00777072
+0.00779051
+0.00679634
+0.00631127
+0.00632512
+0.00686111
+0.00776323
+0.00908307
+0.0106005
+0.0122051
+0.0139533
+0.0157509
+0.0176351
+0.0195701
+0.0215512
+0.0235571
+0.0236963
+0.0219285
+0.0202155
+0.0185934
+0.0170985
+0.0157671
+0.0146055
+0.0136704
+0.0130398
+0.0127591
+0.012851
+0.0132909
+0.0140122
+0.0149084
+0.0138257
+0.0127763
+0.0119486
+0.010546
+0.00929521
+0.00806824
+0.00704213
+0.00541794
+0.00385479
+0.00213197
+0.000183506
+-0.00145795
+-0.000236769
+0.00167823
+0.00367295
+0.00559608
+0.00750789
+0.00939177
+0.0113547
+0.0132251
+0.0151143
+0.0170744
+0.0190646
+0.0210266
+0.0229804
+0.0249634
+0.0269785
+0.0290192
+0.0310048
+0.0418027
+0.0400633
+0.0383329
+0.0366179
+0.0349347
+0.0332455
+0.0315529
+0.0298624
+0.0281948
+0.0265988
+0.0250224
+0.0234022
+0.021745
+0.0201514
+0.018492
+0.0168918
+0.0153988
+0.0138917
+0.0123551
+0.0109795
+0.00959834
+0.00814293
+0.00690413
+0.00567916
+0.0046238
+0.00354685
+0.00278205
+0.00226548
+0.002294
+0.00283411
+0.00367721
+0.00471973
+0.00584296
+0.00700921
+0.00835564
+0.00836785
+0.00843875
+0.0087361
+0.00922186
+0.00980225
+0.00921636
+0.00909066
+0.00890125
+0.00800091
+0.00754826
+0.0075676
+0.00791085
+0.0087031
+0.00974251
+0.0111003
+0.0126337
+0.0143297
+0.016095
+0.0179193
+0.019777
+0.0216513
+0.0235803
+0.0238417
+0.0220855
+0.0203857
+0.0187783
+0.0172994
+0.0159848
+0.0148402
+0.0139209
+0.0133022
+0.0130271
+0.0131172
+0.0135484
+0.0142567
+0.0152494
+0.0146032
+0.0138066
+0.0131685
+0.0119214
+0.0105464
+0.00918596
+0.00807605
+0.00687847
+0.00493916
+0.00302046
+0.00111806
+-0.000723625
+-0.00117306
+0.000665899
+0.00261591
+0.00450087
+0.00646674
+0.00837327
+0.0102203
+0.0121792
+0.0141787
+0.0161386
+0.01809
+0.0200779
+0.0221042
+0.0241593
+0.0261112
+0.0280663
+0.0300538
+0.0406064
+0.0388173
+0.0370692
+0.0353338
+0.0336227
+0.0319429
+0.0302542
+0.0285628
+0.0268766
+0.0252018
+0.0236093
+0.022048
+0.0204295
+0.0188106
+0.0172241
+0.0155938
+0.0140312
+0.0125678
+0.0110958
+0.00965198
+0.00834437
+0.00698128
+0.0057748
+0.00468894
+0.00377294
+0.00299025
+0.00264436
+0.00263362
+0.0032012
+0.00402797
+0.00506531
+0.00629456
+0.00748839
+0.0087245
+0.00964777
+0.00948727
+0.00969249
+0.0101993
+0.0107726
+0.0108906
+0.0105496
+0.010489
+0.0100557
+0.00914189
+0.00861683
+0.00853619
+0.00885536
+0.00950115
+0.010453
+0.0117255
+0.0132069
+0.0146859
+0.0163087
+0.0180519
+0.0198656
+0.0217323
+0.0236423
+0.0240471
+0.0224561
+0.020783
+0.0192083
+0.0177646
+0.0164864
+0.0153864
+0.0145018
+0.013909
+0.0136461
+0.0137321
+0.0141446
+0.0148244
+0.0157814
+0.0154472
+0.0147272
+0.014259
+0.0131664
+0.0116918
+0.0103897
+0.0091525
+0.00788939
+0.0059629
+0.00402253
+0.00211216
+0.00015905
+-0.00167269
+-0.000386469
+0.00149567
+0.00343619
+0.00533479
+0.00728813
+0.00930283
+0.0112597
+0.0132034
+0.0152007
+0.0172437
+0.0193151
+0.02122
+0.0231735
+0.0251661
+0.0271892
+0.0292364
+0.0394278
+0.0376463
+0.0358511
+0.0340854
+0.0323534
+0.0306479
+0.02897
+0.0272794
+0.0255985
+0.0239193
+0.0222376
+0.0206508
+0.0191071
+0.0175004
+0.0159384
+0.0143688
+0.0127897
+0.0112642
+0.00985984
+0.00846275
+0.00717614
+0.00597497
+0.00477945
+0.0039686
+0.00329013
+0.00287318
+0.00309002
+0.00357796
+0.0043469
+0.00544417
+0.00658274
+0.00778444
+0.00915075
+0.0104112
+0.0108229
+0.0107556
+0.0110413
+0.0116293
+0.0124087
+0.0118945
+0.011674
+0.0117895
+0.0111464
+0.0102736
+0.00975163
+0.00956087
+0.00976077
+0.0102559
+0.0111251
+0.0122637
+0.0135998
+0.0150314
+0.0166015
+0.0182749
+0.0200353
+0.0218326
+0.0236072
+0.0240489
+0.0225019
+0.0210658
+0.0197687
+0.0184769
+0.0172386
+0.016184
+0.0153704
+0.0148178
+0.0145713
+0.0146519
+0.015035
+0.0156803
+0.0153365
+0.0151197
+0.0151806
+0.0148554
+0.0144279
+0.0129724
+0.0115925
+0.0103041
+0.00890031
+0.00701277
+0.00504987
+0.00317177
+0.00128042
+-0.000636905
+-0.00145715
+0.000449014
+0.00242605
+0.00444528
+0.00640595
+0.00831912
+0.0103363
+0.0124069
+0.0143854
+0.0163332
+0.0182838
+0.0202835
+0.0223191
+0.0243753
+0.0264366
+0.0284484
+0.0382866
+0.036474
+0.034695
+0.0329042
+0.031124
+0.0293973
+0.0276937
+0.0260167
+0.0243325
+0.0226699
+0.0210026
+0.0193155
+0.0177388
+0.0162234
+0.0146409
+0.0131482
+0.0115953
+0.0101578
+0.00872153
+0.0074063
+0.00620862
+0.00515736
+0.00415603
+0.00353546
+0.00329321
+0.00338964
+0.00387307
+0.00484543
+0.00573113
+0.00687597
+0.00814776
+0.00939814
+0.0106898
+0.0119686
+0.0119249
+0.0121976
+0.0124911
+0.0130837
+0.0134378
+0.0130459
+0.0128992
+0.0130668
+0.0120711
+0.0112085
+0.0106628
+0.0105214
+0.0107572
+0.0111821
+0.0119121
+0.0128932
+0.0140786
+0.0153736
+0.0168274
+0.0184191
+0.0199692
+0.0214935
+0.0230428
+0.0242149
+0.0226759
+0.0212516
+0.0199665
+0.0188414
+0.0179025
+0.017193
+0.0164354
+0.0159255
+0.0156965
+0.0157713
+0.0161221
+0.015537
+0.015166
+0.0149201
+0.0148037
+0.0146327
+0.0147441
+0.0142496
+0.0126475
+0.0112456
+0.00994666
+0.0080661
+0.00618307
+0.00417908
+0.00224695
+0.000389923
+-0.00138786
+-0.000386961
+0.00151979
+0.00346997
+0.00552057
+0.0075234
+0.00950861
+0.0114563
+0.0134006
+0.0154111
+0.0174608
+0.0195278
+0.0215534
+0.023576
+0.0256249
+0.0276956
+0.0372247
+0.0353632
+0.0335366
+0.0317561
+0.0299846
+0.0281919
+0.0264575
+0.0247628
+0.0230991
+0.0214283
+0.0197931
+0.0181236
+0.0164579
+0.0149009
+0.0134354
+0.0119016
+0.0104831
+0.00902476
+0.00772142
+0.00660321
+0.00541807
+0.00463764
+0.00387316
+0.00341893
+0.00347647
+0.00404441
+0.00490068
+0.00590291
+0.00721965
+0.00838216
+0.00966306
+0.0110061
+0.0123241
+0.0131338
+0.0132014
+0.0135362
+0.014102
+0.0146411
+0.0143869
+0.0142288
+0.0141677
+0.0141339
+0.0130467
+0.0122284
+0.0117132
+0.0114407
+0.0115693
+0.0119723
+0.012612
+0.0134049
+0.0144304
+0.0156746
+0.016772
+0.0180456
+0.0194366
+0.0208879
+0.0222843
+0.0236961
+0.0230576
+0.0216584
+0.020399
+0.0192991
+0.0183836
+0.0176934
+0.0172555
+0.0170894
+0.0170244
+0.0165416
+0.015644
+0.0150147
+0.0146883
+0.0146237
+0.0145768
+0.0144032
+0.0145609
+0.0149507
+0.0137057
+0.0122969
+0.011041
+0.00904471
+0.0070755
+0.00514863
+0.00317964
+0.00126834
+-0.000515307
+-0.00109097
+0.000766189
+0.00268831
+0.00466573
+0.0066115
+0.00853491
+0.010561
+0.0126195
+0.014673
+0.0166776
+0.0187173
+0.0207834
+0.0228727
+0.0248915
+0.0269108
+0.0362026
+0.0343261
+0.0324698
+0.0306273
+0.0288336
+0.0270845
+0.0252994
+0.0235558
+0.0218781
+0.0202271
+0.0185868
+0.0169622
+0.0153081
+0.0137051
+0.0121829
+0.0108099
+0.00935871
+0.00809253
+0.00682199
+0.00571263
+0.00484475
+0.00418879
+0.00385085
+0.00396889
+0.00427685
+0.00499251
+0.00605288
+0.00721013
+0.00844549
+0.00988666
+0.0112242
+0.012596
+0.013948
+0.0141204
+0.014494
+0.0149353
+0.015519
+0.0156462
+0.015336
+0.0152264
+0.0153885
+0.0150816
+0.014025
+0.0132202
+0.0126511
+0.0123108
+0.0121357
+0.0122776
+0.0127955
+0.0135881
+0.0143026
+0.0151562
+0.0162597
+0.0175641
+0.0186778
+0.019892
+0.0212632
+0.0221989
+0.0232502
+0.0222742
+0.0210517
+0.0199878
+0.0191053
+0.0184421
+0.0180224
+0.0178635
+0.0170102
+0.0160133
+0.0152432
+0.0147233
+0.0143827
+0.0139011
+0.0137073
+0.0138614
+0.0143522
+0.0150482
+0.0147902
+0.0132532
+0.0119066
+0.0100171
+0.00809199
+0.0060497
+0.00402291
+0.00211024
+0.00028797
+-0.00147877
+1.06073e-05
+0.00187695
+0.00375558
+0.00575785
+0.00784926
+0.00980006
+0.0118191
+0.013886
+0.0159766
+0.0180274
+0.0200237
+0.0220458
+0.0240919
+0.0261615
+0.0351386
+0.0333187
+0.0314655
+0.0296129
+0.0277589
+0.0259519
+0.0242083
+0.0224539
+0.020711
+0.0190514
+0.0174328
+0.0158179
+0.0142086
+0.0126189
+0.0111121
+0.00964566
+0.00842657
+0.00716894
+0.00616151
+0.00516511
+0.00449237
+0.00424582
+0.00431013
+0.00461485
+0.00525774
+0.0062023
+0.00732585
+0.00861251
+0.00988784
+0.0112258
+0.0127374
+0.0141648
+0.0151798
+0.0152702
+0.0156433
+0.0162729
+0.0167999
+0.0163579
+0.0160947
+0.0161237
+0.0164301
+0.0157529
+0.0146289
+0.0137074
+0.0130378
+0.0126595
+0.0124933
+0.0126312
+0.0129475
+0.013385
+0.0140254
+0.0148949
+0.0156285
+0.0165451
+0.0176637
+0.0188706
+0.0196133
+0.0205636
+0.0216943
+0.0229723
+0.0219049
+0.0208796
+0.0200364
+0.0193076
+0.0184885
+0.017537
+0.0165036
+0.0154741
+0.0146688
+0.0141278
+0.013646
+0.0130988
+0.012893
+0.0130567
+0.0135765
+0.0143823
+0.0154285
+0.0142484
+0.0128898
+0.0108653
+0.00887468
+0.00692013
+0.00493658
+0.00297047
+0.00108519
+-0.000607959
+-0.000822674
+0.00114504
+0.00302817
+0.00497758
+0.00701639
+0.00908019
+0.011124
+0.0131733
+0.0151723
+0.0171996
+0.0192623
+0.0213504
+0.0234538
+0.0255148
+0.0340932
+0.0322752
+0.0304568
+0.0286288
+0.0267866
+0.0249455
+0.0231262
+0.0213766
+0.0196726
+0.0179492
+0.0163041
+0.0147581
+0.0131898
+0.0116297
+0.0101652
+0.0087964
+0.00753998
+0.00658995
+0.0056513
+0.00484071
+0.00453426
+0.00444491
+0.00478156
+0.00553803
+0.00639716
+0.00743377
+0.0086497
+0.00998147
+0.0113884
+0.0127342
+0.0141335
+0.0156693
+0.016246
+0.0165363
+0.0169726
+0.017564
+0.017499
+0.0171836
+0.0169844
+0.017026
+0.0173325
+0.0162229
+0.0151228
+0.0142332
+0.0135895
+0.0132006
+0.0130511
+0.0128984
+0.0130841
+0.0132604
+0.0135959
+0.0139774
+0.0146717
+0.0156233
+0.016619
+0.0171807
+0.0179933
+0.0189972
+0.0201697
+0.0214985
+0.0213833
+0.0200874
+0.0188671
+0.0177895
+0.0169207
+0.0162902
+0.0157548
+0.0148803
+0.014201
+0.0135606
+0.0130843
+0.0125866
+0.0123723
+0.0125428
+0.0130831
+0.0139174
+0.0149961
+0.0153209
+0.0137486
+0.0117565
+0.00977817
+0.00785552
+0.00581222
+0.00380255
+0.00190476
+0.000245846
+-0.00134123
+0.000315087
+0.00231509
+0.00434045
+0.00638737
+0.0083711
+0.0103545
+0.0123947
+0.0144789
+0.016582
+0.0186305
+0.0206957
+0.0227824
+0.0248803
+0.0330866
+0.031258
+0.0294434
+0.0276325
+0.0258205
+0.0240079
+0.0221794
+0.0203798
+0.0186299
+0.0169826
+0.0152948
+0.013696
+0.012258
+0.0107713
+0.00937085
+0.00806577
+0.00693992
+0.006104
+0.00535983
+0.00495377
+0.00469131
+0.00495152
+0.005549
+0.0064322
+0.00755434
+0.00881793
+0.01002
+0.0113867
+0.0128111
+0.0142922
+0.0156725
+0.0171045
+0.0175157
+0.0177983
+0.0182948
+0.0189796
+0.0184334
+0.0180952
+0.0179793
+0.0180639
+0.0180448
+0.0169215
+0.0159056
+0.0150624
+0.0144557
+0.0138663
+0.0135429
+0.0132157
+0.0129343
+0.0127291
+0.012829
+0.0132327
+0.0138343
+0.0142725
+0.0147692
+0.0153986
+0.0162922
+0.0173712
+0.0186458
+0.0197645
+0.0192777
+0.0188505
+0.0175445
+0.0163987
+0.0154476
+0.0147451
+0.0143131
+0.0142003
+0.0136211
+0.0128641
+0.0122968
+0.0120405
+0.0121264
+0.0123946
+0.0129411
+0.0137599
+0.01485
+0.0161651
+0.0146545
+0.0126708
+0.0106047
+0.00858083
+0.00661745
+0.00462865
+0.00272276
+0.00105828
+-0.000537839
+-0.000527681
+0.00153916
+0.00356583
+0.0056593
+0.00770847
+0.00978916
+0.0117969
+0.0138417
+0.0159225
+0.0180047
+0.0201059
+0.0222244
+0.0243127
+0.0321382
+0.0302984
+0.028464
+0.0266581
+0.0248595
+0.0230828
+0.0212826
+0.0194876
+0.017717
+0.016012
+0.0143918
+0.0128041
+0.0113046
+0.0100048
+0.00863367
+0.00749883
+0.00656148
+0.00578788
+0.00530784
+0.00513364
+0.00522798
+0.00566561
+0.0064991
+0.00755171
+0.00873772
+0.01003
+0.0114688
+0.0128245
+0.0142579
+0.0157279
+0.0172145
+0.0186447
+0.0189543
+0.0192154
+0.0196762
+0.020067
+0.0195305
+0.0192029
+0.0191033
+0.0192246
+0.0188625
+0.0177909
+0.01666
+0.0156358
+0.0148661
+0.0143307
+0.0136176
+0.0128578
+0.0123448
+0.0122019
+0.0122397
+0.0122009
+0.0122529
+0.0125438
+0.0130256
+0.0137351
+0.0146919
+0.0158789
+0.0172634
+0.0177261
+0.0171934
+0.0168799
+0.0162253
+0.0150803
+0.0141462
+0.0133755
+0.0128334
+0.0124858
+0.0125019
+0.0118332
+0.0114163
+0.0114121
+0.0116724
+0.0120877
+0.0128657
+0.0139112
+0.0149903
+0.0162941
+0.0154601
+0.0134428
+0.0114139
+0.00939068
+0.0074512
+0.00552384
+0.00361733
+0.00183477
+0.000190559
+-0.00128813
+0.000798638
+0.00288815
+0.00496191
+0.00709559
+0.00914313
+0.0111933
+0.0132881
+0.0153674
+0.0174119
+0.0194883
+0.0215872
+0.0236914
+0.0311668
+0.0293594
+0.0275705
+0.0257398
+0.0239289
+0.0221718
+0.0204068
+0.0186488
+0.0169243
+0.0151837
+0.0135465
+0.0120131
+0.010523
+0.00925558
+0.00813957
+0.00704012
+0.00627058
+0.00583727
+0.00563927
+0.00574257
+0.00611904
+0.00669238
+0.00761796
+0.00877486
+0.0100231
+0.011373
+0.0127516
+0.0142476
+0.0157192
+0.0172006
+0.0186799
+0.0201893
+0.0205263
+0.0207673
+0.0211945
+0.0212102
+0.0207229
+0.0204368
+0.0203606
+0.020506
+0.0194338
+0.0180717
+0.0168497
+0.0158379
+0.0150677
+0.0143844
+0.0134157
+0.0125971
+0.0120297
+0.0115802
+0.0110364
+0.0107203
+0.0106477
+0.0109758
+0.0113954
+0.0122
+0.0132594
+0.0145637
+0.0158899
+0.0157287
+0.0151318
+0.0147808
+0.0147441
+0.0137558
+0.012737
+0.0118415
+0.0112869
+0.0109321
+0.0109524
+0.0110308
+0.0105843
+0.0105798
+0.0110033
+0.0117726
+0.0127515
+0.0138425
+0.0151732
+0.0166864
+0.016221
+0.0142008
+0.0122169
+0.0101856
+0.00820901
+0.00621768
+0.00428803
+0.00242939
+0.000762789
+-0.00109578
+0.000129576
+0.00218784
+0.00427877
+0.00635995
+0.0084743
+0.0105463
+0.0126114
+0.0147128
+0.0167927
+0.0188805
+0.0209893
+0.0231133
+0.0302851
+0.0284441
+0.0266412
+0.0248692
+0.0231032
+0.0213008
+0.0195648
+0.0178623
+0.0161516
+0.0144788
+0.0128859
+0.011333
+0.00996155
+0.00872084
+0.00777748
+0.00684544
+0.00630125
+0.0060758
+0.00612793
+0.0064345
+0.00700571
+0.00790373
+0.00885748
+0.0100985
+0.0114063
+0.0127526
+0.0141528
+0.0155924
+0.0171205
+0.0186711
+0.0201755
+0.0214731
+0.0219459
+0.0224162
+0.0228197
+0.0224757
+0.0220164
+0.0217536
+0.0216823
+0.0212906
+0.0198312
+0.0184981
+0.0173143
+0.0163238
+0.0154125
+0.0142936
+0.0132553
+0.0123012
+0.0115506
+0.0106267
+0.00982401
+0.00929424
+0.00923482
+0.00947958
+0.00996468
+0.0108757
+0.011891
+0.0131085
+0.0140078
+0.0137708
+0.0130849
+0.0126929
+0.0126502
+0.0124684
+0.0112343
+0.010246
+0.00960039
+0.00937479
+0.00952508
+0.0100569
+0.010102
+0.0100973
+0.0105375
+0.0113385
+0.0124773
+0.0138623
+0.0153537
+0.0168507
+0.0169919
+0.0149589
+0.0128955
+0.0108489
+0.00883173
+0.00681864
+0.00479386
+0.00291975
+0.00132223
+-0.000477074
+-0.000518561
+0.00154949
+0.00363147
+0.00574881
+0.00785189
+0.00993416
+0.0120155
+0.0141299
+0.0162646
+0.0184124
+0.0205362
+0.0226537
+0.029362
+0.027614
+0.0257979
+0.0240073
+0.0222605
+0.0205543
+0.018816
+0.0171085
+0.0154579
+0.0138754
+0.0122837
+0.0108224
+0.00956134
+0.00839726
+0.00749975
+0.00683475
+0.0065183
+0.00650172
+0.00685172
+0.00732947
+0.00807016
+0.00904044
+0.0102147
+0.0114152
+0.0128033
+0.0141816
+0.0155879
+0.0170368
+0.0184922
+0.0200484
+0.0216605
+0.0227233
+0.0231808
+0.0238189
+0.0241154
+0.0236551
+0.0233786
+0.0231608
+0.023094
+0.02184
+0.02042
+0.019128
+0.0179863
+0.0169297
+0.0156376
+0.0143386
+0.0131393
+0.0120233
+0.0106793
+0.00959739
+0.00869737
+0.00794218
+0.00760274
+0.00777955
+0.00847147
+0.00919621
+0.0102582
+0.0113655
+0.0119807
+0.011894
+0.0110926
+0.0106465
+0.0105956
+0.0109638
+0.00998835
+0.00886314
+0.00810818
+0.00786671
+0.00808716
+0.00869932
+0.00953593
+0.0100119
+0.0104757
+0.0113122
+0.0124598
+0.0138466
+0.0154197
+0.017129
+0.0171244
+0.0150161
+0.012935
+0.0108969
+0.00891462
+0.00696199
+0.00510737
+0.00333349
+0.00168217
+-3.09803e-05
+-0.00110598
+0.000928908
+0.00306384
+0.00522042
+0.00738135
+0.00947557
+0.011566
+0.013669
+0.0157887
+0.0179223
+0.0200215
+0.0221384
+0.0284851
+0.0267126
+0.0249967
+0.0232396
+0.0214798
+0.019775
+0.0181213
+0.0165044
+0.0148606
+0.013319
+0.0118625
+0.010479
+0.00925082
+0.00830566
+0.00759462
+0.00704286
+0.00690656
+0.0071553
+0.00768023
+0.00841003
+0.00920189
+0.0102867
+0.0114898
+0.0127858
+0.0141384
+0.0155969
+0.0170503
+0.0185077
+0.0199847
+0.0214432
+0.0230167
+0.0240411
+0.0245051
+0.0251217
+0.0249827
+0.0245792
+0.0243513
+0.023861
+0.0229669
+0.0221281
+0.0212196
+0.0199794
+0.018801
+0.0171659
+0.0155995
+0.0140891
+0.0126076
+0.0113131
+0.00991803
+0.00857496
+0.00741179
+0.00653633
+0.00613616
+0.00632672
+0.00670567
+0.00752342
+0.00877332
+0.00927843
+0.0100226
+0.0101362
+0.00918936
+0.00867089
+0.00860824
+0.00900856
+0.00860674
+0.00768711
+0.006994
+0.00671256
+0.00689245
+0.00754516
+0.00844796
+0.00966764
+0.0108188
+0.0116306
+0.0127517
+0.0141258
+0.0156711
+0.0173557
+0.017283
+0.0151965
+0.0131439
+0.0111035
+0.00908753
+0.00713645
+0.00531194
+0.00358451
+0.0019962
+0.000550697
+-0.00146848
+0.000465867
+0.00260257
+0.00472328
+0.00688571
+0.00901975
+0.0110912
+0.0131852
+0.0152947
+0.0174166
+0.0195537
+0.0215963
+0.0276544
+0.0258819
+0.0241694
+0.0224736
+0.020796
+0.0190924
+0.0174617
+0.0158878
+0.0144255
+0.0129559
+0.0115889
+0.0103119
+0.00921978
+0.00834504
+0.00772104
+0.00739503
+0.00746879
+0.0078439
+0.00852123
+0.00936667
+0.0104155
+0.0115829
+0.012811
+0.0141586
+0.0155366
+0.016963
+0.0184731
+0.0199861
+0.0214722
+0.0229529
+0.0244306
+0.0252867
+0.0259146
+0.0265274
+0.026006
+0.0247495
+0.0235441
+0.022463
+0.0214291
+0.0205221
+0.0197757
+0.0190662
+0.0184636
+0.0171349
+0.015325
+0.0136274
+0.0120895
+0.0106832
+0.00915476
+0.00773666
+0.00639856
+0.00550253
+0.00496732
+0.00475198
+0.0051571
+0.00611951
+0.00672839
+0.00723367
+0.00818019
+0.00855768
+0.0074127
+0.00679154
+0.00670734
+0.00716726
+0.00732449
+0.00621802
+0.00568626
+0.00541853
+0.0055766
+0.00638616
+0.00763948
+0.00898315
+0.0105177
+0.0122428
+0.0133982
+0.014712
+0.0162015
+0.017836
+0.0175537
+0.0154697
+0.0134099
+0.0113872
+0.00941032
+0.0075293
+0.00564144
+0.00387991
+0.00239918
+0.00106703
+-0.000823212
+0.000127465
+0.00217297
+0.00429021
+0.00645415
+0.00855762
+0.01067
+0.0128086
+0.0148627
+0.0168358
+0.0188549
+0.0208968
+0.0269217
+0.0251468
+0.0233961
+0.0217124
+0.0200759
+0.0184781
+0.0169115
+0.0153598
+0.0139416
+0.0126924
+0.0114558
+0.0103257
+0.00933434
+0.00860508
+0.0081867
+0.008003
+0.00818927
+0.00876448
+0.00948988
+0.0104697
+0.0115903
+0.0127928
+0.0141088
+0.0155072
+0.0169244
+0.0183966
+0.0198632
+0.0213902
+0.0229563
+0.0244658
+0.0259515
+0.0266231
+0.027221
+0.0264325
+0.0249717
+0.0235771
+0.0223
+0.0211208
+0.0199936
+0.0190182
+0.0182142
+0.0174725
+0.0168031
+0.0161548
+0.0152203
+0.0135095
+0.0119564
+0.0103268
+0.00865388
+0.00702
+0.00571369
+0.00444818
+0.00372495
+0.00365484
+0.00405525
+0.00436856
+0.00457259
+0.00525871
+0.00647536
+0.00707543
+0.00581511
+0.00504658
+0.00489355
+0.00542804
+0.00619393
+0.00508293
+0.00448363
+0.00423307
+0.00479481
+0.0055657
+0.00680612
+0.00842327
+0.0102556
+0.0120448
+0.0139335
+0.0155867
+0.0169997
+0.0185641
+0.0179093
+0.0158139
+0.013735
+0.0116969
+0.00972134
+0.00783452
+0.00597126
+0.00416067
+0.00262597
+0.00121231
+-0.000397714
+-0.000271082
+0.00178633
+0.00386669
+0.00597816
+0.00812928
+0.010202
+0.0121361
+0.0141452
+0.0161939
+0.0182669
+0.0202934
+0.0262431
+0.0245142
+0.022772
+0.0210518
+0.0194179
+0.0178535
+0.0163981
+0.0149893
+0.0136039
+0.0123891
+0.0113525
+0.0105056
+0.00965421
+0.00906506
+0.00874045
+0.00881926
+0.00917739
+0.00974384
+0.0105618
+0.0116064
+0.0127638
+0.014028
+0.0153853
+0.0167865
+0.0182811
+0.0197615
+0.0213024
+0.0227955
+0.0243347
+0.025941
+0.0274821
+0.028057
+0.0271138
+0.0255194
+0.0239917
+0.0225486
+0.0211762
+0.0198716
+0.0186873
+0.0176492
+0.0166657
+0.0158041
+0.0151424
+0.0143282
+0.0135059
+0.0128081
+0.0121092
+0.0102794
+0.00846099
+0.00678064
+0.00509139
+0.00372865
+0.00283923
+0.00213575
+0.00251553
+0.0025327
+0.00244089
+0.00349016
+0.00463146
+0.0053757
+0.00425751
+0.00332481
+0.00323604
+0.00363695
+0.00469651
+0.00379964
+0.00315555
+0.00322572
+0.00396317
+0.00485954
+0.00631755
+0.00811208
+0.0100647
+0.0120879
+0.0140324
+0.0159883
+0.0179469
+0.0195122
+0.0182185
+0.0161255
+0.0140541
+0.0120162
+0.0100307
+0.00813606
+0.00625583
+0.00441087
+0.00281937
+0.0013947
+0.000185937
+-0.000631537
+0.00138467
+0.00341223
+0.00550631
+0.0076359
+0.00958707
+0.0116239
+0.0137083
+0.0157246
+0.0177585
+0.0198174
+0.0256616
+0.0239297
+0.0222423
+0.0205677
+0.0189256
+0.0173641
+0.0159072
+0.0145804
+0.0134104
+0.0123127
+0.0113039
+0.0105279
+0.0100415
+0.00963474
+0.00945854
+0.00969708
+0.0102239
+0.0108686
+0.011782
+0.0127999
+0.0140168
+0.0152882
+0.0166431
+0.0181234
+0.0195832
+0.0211247
+0.022667
+0.0242291
+0.0257656
+0.0273132
+0.0288303
+0.0280447
+0.0263715
+0.0247061
+0.0231253
+0.0216236
+0.0201698
+0.0187955
+0.0175398
+0.0162919
+0.0151513
+0.0141452
+0.0134031
+0.0125768
+0.0117311
+0.0109583
+0.0104493
+0.00990443
+0.00864291
+0.00694647
+0.00516618
+0.0037411
+0.00222793
+0.0015739
+0.000936945
+0.000918333
+0.000578036
+0.00174925
+0.00300688
+0.0032662
+0.00296076
+0.00197389
+0.00169719
+0.00184224
+0.00339522
+0.00263796
+0.0019178
+0.00164478
+0.00268286
+0.00416337
+0.00598653
+0.00795205
+0.00993619
+0.0119925
+0.0140785
+0.016175
+0.0180817
+0.0198425
+0.0185555
+0.0164616
+0.0143938
+0.0123683
+0.0104099
+0.00845926
+0.00652196
+0.00473671
+0.0031066
+0.00167411
+0.000407399
+-0.00110496
+0.000922115
+0.00292996
+0.00492381
+0.00692462
+0.00900626
+0.0110474
+0.0130647
+0.0151278
+0.0171716
+0.0192477
+0.0251775
+0.0234587
+0.0218025
+0.0201788
+0.0186058
+0.0170531
+0.0156137
+0.0143134
+0.0131809
+0.0123086
+0.0114937
+0.0108452
+0.0105011
+0.0103416
+0.0103803
+0.0106134
+0.011143
+0.0119969
+0.0129654
+0.0140759
+0.0153126
+0.016632
+0.0179853
+0.0194009
+0.0209147
+0.0224285
+0.0240071
+0.0256162
+0.0271868
+0.0287628
+0.0292219
+0.0274622
+0.0256919
+0.023991
+0.0223745
+0.0208224
+0.0193122
+0.0178732
+0.0164087
+0.0150278
+0.0137232
+0.0126031
+0.0117643
+0.0109841
+0.0100401
+0.00919722
+0.00867983
+0.0080854
+0.00760792
+0.00738891
+0.00588534
+0.00427639
+0.00260495
+0.000983845
+0.00032614
+-0.00074112
+-0.000790929
+0.000260738
+0.00152085
+0.00125592
+0.000964515
+0.000895023
+0.000764792
+0.00116053
+0.00203528
+0.00137163
+0.000375636
+0.000710253
+0.00194702
+0.00383924
+0.00579537
+0.00784029
+0.0099407
+0.0120644
+0.0142074
+0.0163631
+0.0184062
+0.0201574
+0.0189508
+0.0168634
+0.0148024
+0.0127789
+0.0107818
+0.00882377
+0.00696089
+0.00516464
+0.00352236
+0.0020658
+0.000729627
+-0.00128618
+0.000400641
+0.00241307
+0.00439698
+0.00645276
+0.00852367
+0.0105009
+0.0125333
+0.0146116
+0.0167186
+0.0188046
+0.0248045
+0.0231009
+0.0214573
+0.019876
+0.0183718
+0.0169359
+0.0155232
+0.0142613
+0.013172
+0.0123274
+0.0117641
+0.0113103
+0.0110715
+0.0111542
+0.0112578
+0.0116913
+0.0122856
+0.0130934
+0.0141225
+0.0152701
+0.0165467
+0.0179609
+0.0193661
+0.0207913
+0.0222247
+0.0237609
+0.0253331
+0.0269237
+0.0285573
+0.0301656
+0.0287356
+0.0269067
+0.0250973
+0.0233533
+0.0216586
+0.0200447
+0.0184229
+0.0168221
+0.0152268
+0.0137874
+0.0124308
+0.0112473
+0.0103058
+0.00959176
+0.00856053
+0.00765058
+0.00702011
+0.00642902
+0.00579972
+0.00555499
+0.00557507
+0.00498965
+0.0033305
+0.00183581
+1.98492e-05
+-0.00132419
+-0.00254
+-0.0013191
+-0.000502693
+-0.000611663
+-0.00121044
+-0.000688579
+-0.00102607
+-0.000717117
+0.000356401
+0.000315062
+-0.000872166
+0.00033152
+0.00207707
+0.0039581
+0.00588638
+0.00794702
+0.0100625
+0.0122043
+0.0143607
+0.0165259
+0.0178913
+0.0193953
+0.019389
+0.0173172
+0.0152633
+0.0132399
+0.0112581
+0.00935396
+0.00752938
+0.0057522
+0.00406584
+0.00248573
+0.00101004
+-0.000886887
+-9.06558e-05
+0.00195857
+0.0039349
+0.00600433
+0.00811911
+0.010071
+0.0120936
+0.0141548
+0.0162494
+0.0183625
+0.0245138
+0.0228697
+0.0212681
+0.0197094
+0.0182428
+0.0169075
+0.01564
+0.014459
+0.0134517
+0.0126259
+0.0120852
+0.0118717
+0.0117986
+0.0118888
+0.0122919
+0.0128009
+0.0135182
+0.014384
+0.0153811
+0.016531
+0.0178085
+0.019173
+0.0206451
+0.0221802
+0.0236413
+0.0251086
+0.0266622
+0.0282789
+0.0298763
+0.0302269
+0.028389
+0.0265212
+0.0246835
+0.0228869
+0.0211436
+0.0194394
+0.0177065
+0.0159221
+0.0142516
+0.0126425
+0.0111793
+0.00994639
+0.00897328
+0.00817395
+0.00737536
+0.00641673
+0.00562748
+0.0049612
+0.00417667
+0.00391999
+0.0040718
+0.00388734
+0.00451795
+0.00283708
+0.00146524
+0.000112361
+-0.00187348
+-0.00321753
+-0.0026574
+-0.0025416
+-0.00280981
+-0.00239006
+-0.00278952
+-0.00220867
+-0.00139518
+-0.00150731
+-0.00182774
+-0.000652185
+0.00104359
+0.00322533
+0.00541428
+0.00760395
+0.00979381
+0.0119838
+0.0141737
+0.0155175
+0.0168177
+0.0182192
+0.0197646
+0.0178142
+0.015797
+0.0138025
+0.0118577
+0.0099653
+0.00815471
+0.00640559
+0.00475045
+0.0029087
+0.00117122
+-0.000449135
+-0.000421201
+0.00158825
+0.00362291
+0.00568488
+0.00772034
+0.00972613
+0.0117338
+0.0137661
+0.0158406
+0.0179142
+0.0242853
+0.0226654
+0.0211127
+0.0196817
+0.0182884
+0.0169567
+0.0158055
+0.0147251
+0.0138485
+0.0132083
+0.0127312
+0.0125646
+0.0125696
+0.0128354
+0.0132722
+0.0139454
+0.0147669
+0.0156838
+0.0167113
+0.0178599
+0.0191117
+0.0204773
+0.0219228
+0.0234283
+0.0250081
+0.0265423
+0.0280382
+0.0296011
+0.0312236
+0.0300577
+0.0282088
+0.026313
+0.0244484
+0.0226135
+0.0208388
+0.0190286
+0.0171362
+0.0152703
+0.0134462
+0.0117208
+0.0101506
+0.00878755
+0.00769692
+0.00685157
+0.00622085
+0.00550823
+0.00462515
+0.0038456
+0.00297498
+0.00256162
+0.00259444
+0.00270498
+0.00342143
+0.00386846
+0.00187202
+-3.8903e-05
+-0.00216671
+-0.00433633
+-0.00473447
+-0.00445543
+-0.00468979
+-0.00443294
+-0.00480451
+-0.00386707
+-0.00328766
+-0.00315788
+-0.00248745
+-0.000953694
+0.00120254
+0.00336844
+0.00553751
+0.0077116
+0.00989297
+0.0119868
+0.0129583
+0.0140996
+0.0154541
+0.0169686
+0.0186181
+0.0184429
+0.0164672
+0.0144954
+0.0125618
+0.0107154
+0.00893666
+0.00704733
+0.00496037
+0.00298467
+0.00124822
+-5.24792e-05
+-0.00075331
+0.0012495
+0.00329401
+0.00531447
+0.00726626
+0.00931712
+0.0113876
+0.0134124
+0.015472
+0.017515
+0.0241079
+0.0225644
+0.021065
+0.0196565
+0.0183717
+0.0172534
+0.0161201
+0.0151747
+0.01434
+0.013723
+0.0133863
+0.0133483
+0.0134521
+0.0137983
+0.0143387
+0.0150711
+0.0159438
+0.0170072
+0.0180955
+0.0192099
+0.0204847
+0.0218274
+0.0232401
+0.0247401
+0.026278
+0.0278736
+0.0294834
+0.0310007
+0.0319317
+0.0300384
+0.0281795
+0.0262564
+0.0243764
+0.0225305
+0.0206603
+0.0187732
+0.0167683
+0.0148053
+0.0129157
+0.0111082
+0.00943655
+0.00796018
+0.00672546
+0.00581435
+0.00511907
+0.00465405
+0.00417939
+0.0032911
+0.00241961
+0.00179276
+0.00174871
+0.00184534
+0.00214295
+0.00279723
+0.00158622
+-0.000569341
+-0.00275592
+-0.00478177
+-0.00651586
+-0.00629362
+-0.00661925
+-0.00654915
+-0.00671393
+-0.00575143
+-0.00515248
+-0.00398621
+-0.00240274
+-0.000477378
+0.00134745
+0.00342121
+0.00556206
+0.00773087
+0.00963055
+0.0105282
+0.0115546
+0.0128171
+0.0142399
+0.0157901
+0.0174726
+0.019165
+0.017219
+0.0153083
+0.0134298
+0.011584
+0.00948943
+0.00735825
+0.0052179
+0.00314762
+0.00131856
+4.93909e-05
+-0.00105377
+0.000968442
+0.00289681
+0.00481939
+0.00678673
+0.00885471
+0.0108852
+0.0128788
+0.0149187
+0.0169961
+0.0240479
+0.0225149
+0.0210757
+0.0197749
+0.0185635
+0.0174714
+0.0165111
+0.0157031
+0.0150122
+0.0144769
+0.0142356
+0.0142186
+0.0144778
+0.0148879
+0.0154942
+0.0162718
+0.017192
+0.018229
+0.0194183
+0.0206372
+0.0218294
+0.0231678
+0.0246236
+0.0260785
+0.0275987
+0.0291633
+0.0307656
+0.0324364
+0.032048
+0.030162
+0.0282406
+0.0263494
+0.0244764
+0.0225729
+0.0206593
+0.0186559
+0.016637
+0.0146563
+0.0127447
+0.0109012
+0.0091932
+0.00758258
+0.00620633
+0.00523947
+0.00448526
+0.00406319
+0.00357919
+0.003327
+0.00240747
+0.00159027
+0.00153619
+0.00139152
+0.000920144
+0.00134187
+0.00105446
+-0.000870523
+-0.00290889
+-0.00505645
+-0.00722107
+-0.00830462
+-0.00849663
+-0.00869685
+-0.00850681
+-0.00767693
+-0.00641197
+-0.00442554
+-0.0022627
+-0.000115604
+0.00180344
+0.00359591
+0.00562504
+0.00753948
+0.00835232
+0.00915629
+0.010157
+0.0114889
+0.012994
+0.01467
+0.0164673
+0.0183503
+0.0180674
+0.0161851
+0.0140305
+0.011889
+0.00975663
+0.00759919
+0.00546822
+0.0033911
+0.00145681
+2.06412e-05
+-0.0013
+0.000533756
+0.00245716
+0.00441185
+0.00644758
+0.00842814
+0.0104241
+0.0124548
+0.0144609
+0.0164709
+0.0241508
+0.0226503
+0.0212246
+0.0199335
+0.0188098
+0.0178849
+0.0170117
+0.0162332
+0.0157115
+0.0153147
+0.0151126
+0.0152186
+0.0155214
+0.0161096
+0.0167789
+0.0175698
+0.0184675
+0.0195307
+0.0207155
+0.0219856
+0.0233023
+0.0245606
+0.0259431
+0.0274311
+0.0289701
+0.0305035
+0.0320791
+0.0336943
+0.0323037
+0.030372
+0.0284634
+0.0265984
+0.0246751
+0.022772
+0.020785
+0.01877
+0.0167533
+0.0147861
+0.0128788
+0.0110396
+0.00927411
+0.00766243
+0.00631463
+0.00532091
+0.00450116
+0.00401882
+0.00328224
+0.00237502
+0.0017584
+0.00103687
+0.000583646
+0.000147438
+-0.00023471
+-0.000181348
+-0.000494438
+-0.00202219
+-0.00377287
+-0.00566591
+-0.00770504
+-0.00978184
+-0.0104545
+-0.0108441
+-0.0104484
+-0.00902063
+-0.00693712
+-0.00490173
+-0.00297421
+-0.00112024
+0.000836751
+0.0027983
+0.00468347
+0.00622695
+0.00698876
+0.00774785
+0.00890177
+0.0103709
+0.0120134
+0.0138089
+0.0157051
+0.0176695
+0.0186863
+0.0165243
+0.0143708
+0.0122305
+0.0101056
+0.00794857
+0.00580376
+0.00370165
+0.0016969
+-9.18306e-06
+-0.000971479
+0.000242184
+0.00220965
+0.00413163
+0.00612703
+0.00806787
+0.0100689
+0.0120302
+0.0140442
+0.0160624
+0.024384
+0.022904
+0.021534
+0.0203016
+0.0191994
+0.0182942
+0.0176088
+0.0169591
+0.0164604
+0.0161988
+0.0161512
+0.016251
+0.0166233
+0.0172312
+0.0179891
+0.0188408
+0.0198463
+0.0208864
+0.0220509
+0.0233321
+0.0246677
+0.0260575
+0.02737
+0.0287844
+0.030282
+0.031859
+0.0334431
+0.0345896
+0.0326586
+0.0307359
+0.0288514
+0.0269681
+0.0250476
+0.0231207
+0.0211207
+0.0191119
+0.0171355
+0.0152179
+0.0133436
+0.0115133
+0.00980534
+0.00825527
+0.00700839
+0.00610261
+0.00529829
+0.0043958
+0.00310928
+0.0021929
+0.00157089
+0.000917184
+0.000538093
+0.000117893
+-0.000331457
+-0.000760315
+-0.00118695
+-0.00254614
+-0.00437851
+-0.00637085
+-0.00828517
+-0.0102544
+-0.0122694
+-0.0127325
+-0.0117119
+-0.00971181
+-0.00778469
+-0.00598992
+-0.00395205
+-0.00189331
+0.000110519
+0.00200312
+0.00362197
+0.00488087
+0.00558538
+0.00663427
+0.00797432
+0.00953417
+0.0112986
+0.0131861
+0.0151431
+0.0171567
+0.0190037
+0.0168483
+0.0147034
+0.0125743
+0.0104705
+0.00830694
+0.00615483
+0.00404007
+0.00196987
+9.13493e-05
+-0.00105085
+-0.000147566
+0.00185823
+0.00383781
+0.00575136
+0.00773295
+0.00967688
+0.0116913
+0.0137391
+0.0157219
+0.0247091
+0.0232947
+0.0219915
+0.0208102
+0.0197366
+0.0188556
+0.018197
+0.0176815
+0.0173225
+0.0171917
+0.017238
+0.0174703
+0.0178337
+0.0184034
+0.0191995
+0.0201277
+0.021133
+0.0222613
+0.0234443
+0.0246788
+0.0260391
+0.0274323
+0.0288514
+0.0302359
+0.031665
+0.0331763
+0.0347601
+0.03507
+0.0331423
+0.0312494
+0.0293974
+0.0274845
+0.0255574
+0.0236078
+0.021648
+0.0196931
+0.0177814
+0.0159054
+0.0140495
+0.0123042
+0.010723
+0.00932669
+0.00819949
+0.00736157
+0.00634682
+0.00504018
+0.00396086
+0.003083
+0.00270332
+0.00233048
+0.00167592
+0.00093276
+9.059e-05
+-0.000390059
+-0.00108996
+-0.00277023
+-0.00453406
+-0.00648294
+-0.00848177
+-0.010524
+-0.0125741
+-0.0135627
+-0.0116025
+-0.00974094
+-0.00804686
+-0.00606139
+-0.00403801
+-0.00215913
+-0.000483983
+0.00120734
+0.00263266
+0.00362873
+0.00464927
+0.00570653
+0.00708348
+0.0087866
+0.0106513
+0.0126211
+0.0146538
+0.0167265
+0.0188259
+0.0172389
+0.0150886
+0.0129517
+0.0108364
+0.00875323
+0.0065986
+0.00447881
+0.00233224
+0.000221997
+-0.00134716
+-0.000606213
+0.00147774
+0.00347214
+0.00550593
+0.00739121
+0.0093657
+0.0114166
+0.0134135
+0.015397
+0.0251329
+0.0237689
+0.0224996
+0.0213582
+0.0203613
+0.0195444
+0.0189114
+0.0184681
+0.0181247
+0.0180151
+0.0181471
+0.0184953
+0.0190153
+0.0196407
+0.0204348
+0.0213557
+0.0224412
+0.0235823
+0.0247819
+0.0260991
+0.0274015
+0.0287951
+0.0302602
+0.0316961
+0.0331352
+0.0345823
+0.0361044
+0.0356558
+0.0337616
+0.0319054
+0.0300321
+0.0281246
+0.0262223
+0.0242792
+0.0223783
+0.0204767
+0.0186175
+0.0167755
+0.0150275
+0.01341
+0.0119533
+0.0106866
+0.00968554
+0.00884848
+0.00745378
+0.00631705
+0.00542345
+0.004701
+0.00433949
+0.0036422
+0.00259558
+0.00155742
+0.000720998
+8.65414e-05
+-0.00131135
+-0.00307432
+-0.00472386
+-0.0066345
+-0.00866519
+-0.0107589
+-0.0128846
+-0.0136526
+-0.0117074
+-0.00984565
+-0.00794166
+-0.00614278
+-0.00434675
+-0.00249803
+-0.000775044
+0.000717825
+0.00186001
+0.00292146
+0.00400112
+0.00509211
+0.00660998
+0.00841986
+0.0103756
+0.0123704
+0.0142041
+0.0161272
+0.0181111
+0.0177336
+0.0156083
+0.0134694
+0.0112804
+0.00909237
+0.00690595
+0.00472349
+0.00255228
+0.000438174
+-0.00137801
+-0.000987759
+0.00118311
+0.0032321
+0.00524122
+0.00715378
+0.00908033
+0.0110612
+0.0130285
+0.0150577
+0.0256655
+0.0243302
+0.0231045
+0.0220015
+0.0210344
+0.0202207
+0.0196096
+0.0192048
+0.0190142
+0.018936
+0.0190955
+0.0194681
+0.0200646
+0.0207662
+0.0215969
+0.0226009
+0.0237082
+0.0248841
+0.0261374
+0.0274
+0.0287642
+0.0301961
+0.0315972
+0.0330841
+0.0345843
+0.0360667
+0.0375286
+0.0363643
+0.0345091
+0.0326582
+0.0307896
+0.0288967
+0.0270095
+0.0251242
+0.0232624
+0.0214289
+0.0196124
+0.0178732
+0.0162437
+0.0147363
+0.013395
+0.012263
+0.0114012
+0.010164
+0.00894245
+0.00793007
+0.00717247
+0.00656167
+0.00603574
+0.00473986
+0.00354502
+0.00224219
+0.00114948
+0.000113566
+-0.00148972
+-0.00329837
+-0.00513857
+-0.00717049
+-0.00923427
+-0.0112223
+-0.0132742
+-0.0140431
+-0.0121196
+-0.0101696
+-0.00825429
+-0.00636344
+-0.0046731
+-0.00306869
+-0.00174667
+-0.000288471
+0.000971895
+0.00231513
+0.00308951
+0.00431786
+0.005865
+0.00757772
+0.00932496
+0.0112288
+0.0132218
+0.015269
+0.0173513
+0.0179937
+0.015823
+0.0136586
+0.0115042
+0.0093667
+0.00725933
+0.00510912
+0.00297162
+0.000846347
+-0.00127557
+-0.00126609
+0.000840831
+0.00293862
+0.00494863
+0.00688291
+0.00871719
+0.0106682
+0.012691
+0.0146512
+0.0263262
+0.0250419
+0.0238344
+0.022774
+0.021858
+0.0211039
+0.0205191
+0.0201326
+0.019958
+0.0199905
+0.0201557
+0.0205542
+0.021131
+0.0218684
+0.0227483
+0.0237329
+0.0248464
+0.0260659
+0.0273443
+0.0287243
+0.0301093
+0.0315047
+0.0329605
+0.0344501
+0.0359525
+0.0375
+0.0390127
+0.0371886
+0.0353607
+0.0335182
+0.0316485
+0.0298086
+0.0279396
+0.026108
+0.0243029
+0.0225181
+0.0207913
+0.0191595
+0.0176248
+0.0162266
+0.015019
+0.0140055
+0.0129386
+0.0116715
+0.0105683
+0.00973103
+0.00903516
+0.0084958
+0.00732808
+0.00602378
+0.00460583
+0.00317197
+0.00202523
+0.000625097
+-0.00146262
+-0.00323289
+-0.00510314
+-0.00711876
+-0.00918776
+-0.0113026
+-0.0134417
+-0.0146941
+-0.0127659
+-0.0108241
+-0.00896941
+-0.00708341
+-0.00533866
+-0.00381728
+-0.00263601
+-0.00132049
+-0.000214428
+0.000760996
+0.00151622
+0.00298283
+0.00448816
+0.00633075
+0.00834335
+0.010428
+0.0125488
+0.0146901
+0.0168442
+0.0183845
+0.0162526
+0.0140983
+0.0119571
+0.00983786
+0.00769201
+0.0055225
+0.00335984
+0.0012286
+-0.000855909
+-0.00177108
+0.000356518
+0.00250009
+0.0046565
+0.00651477
+0.00836971
+0.0103471
+0.0123424
+0.0142905
+0.027023
+0.0258306
+0.0247074
+0.0236862
+0.022803
+0.0220884
+0.0215735
+0.0212465
+0.0210812
+0.0211412
+0.0213606
+0.0217463
+0.0223132
+0.0230531
+0.0239342
+0.0248998
+0.0259821
+0.0271924
+0.0284992
+0.0298906
+0.03131
+0.0327987
+0.0343032
+0.0357792
+0.0373256
+0.0388561
+0.0399287
+0.0381131
+0.0362891
+0.0344591
+0.032614
+0.0307887
+0.028978
+0.0272161
+0.0254625
+0.0237549
+0.0221248
+0.0205744
+0.0191409
+0.0178618
+0.0167639
+0.0158156
+0.0144843
+0.0133499
+0.0123648
+0.0116379
+0.0109477
+0.0101553
+0.00877278
+0.0073347
+0.00581587
+0.00451057
+0.00325543
+0.00108724
+-0.00105626
+-0.00301012
+-0.00484701
+-0.00684311
+-0.0089308
+-0.0110584
+-0.0132067
+-0.0153669
+-0.013388
+-0.0113642
+-0.00936831
+-0.00747219
+-0.005723
+-0.00424858
+-0.00336056
+-0.00261393
+-0.00177397
+-0.00125095
+0.000137338
+0.00143591
+0.00352112
+0.00568622
+0.0078655
+0.0100484
+0.0122321
+0.0144162
+0.0166005
+0.018786
+0.0166843
+0.0145274
+0.0123823
+0.0102565
+0.00816489
+0.00601806
+0.00387774
+0.00177201
+-0.000287091
+-0.00196061
+3.42447e-05
+0.00211726
+0.0042652
+0.00635962
+0.00817501
+0.0101138
+0.0120862
+0.0141016
+0.0278675
+0.0267129
+0.0256673
+0.0247342
+0.0238768
+0.0231938
+0.0227008
+0.0223616
+0.0222046
+0.0222631
+0.0225354
+0.0229561
+0.0235513
+0.0243284
+0.0251846
+0.0261378
+0.0272195
+0.0283917
+0.0296654
+0.0310263
+0.0324668
+0.0339647
+0.0354773
+0.0370577
+0.0386408
+0.0401923
+0.0408982
+0.0391065
+0.0373009
+0.0354681
+0.0336781
+0.0318846
+0.0301399
+0.0284366
+0.0267426
+0.0251222
+0.0235621
+0.0221053
+0.0207777
+0.0196041
+0.0186006
+0.0173813
+0.0161738
+0.0151173
+0.0142694
+0.0135584
+0.0129405
+0.0116747
+0.0101883
+0.00871521
+0.0073016
+0.00574228
+0.00361557
+0.0014928
+-0.000627792
+-0.00254311
+-0.00450016
+-0.00657964
+-0.0087051
+-0.0107048
+-0.0127673
+-0.0143652
+-0.0138236
+-0.0118403
+-0.00992305
+-0.00807566
+-0.00642489
+-0.00508817
+-0.0043723
+-0.00414753
+-0.00380152
+-0.00245357
+-0.000391286
+0.00156361
+0.00362055
+0.00573304
+0.00788748
+0.0100576
+0.0121453
+0.0142503
+0.0163778
+0.0184912
+0.0171777
+0.01504
+0.0129084
+0.0108006
+0.00865085
+0.0064746
+0.00431203
+0.00217247
+0.000122349
+-0.00133742
+-0.000328216
+0.00175634
+0.00387742
+0.00601316
+0.00817519
+0.01004
+0.011977
+0.0139829
+0.0288541
+0.0277405
+0.0267361
+0.0258671
+0.0250617
+0.0244087
+0.0239067
+0.0235807
+0.0234318
+0.0234872
+0.0237455
+0.0241899
+0.0247929
+0.0255639
+0.026445
+0.02739
+0.028464
+0.0296336
+0.0308891
+0.0322175
+0.033606
+0.0350765
+0.0366191
+0.0382193
+0.0398114
+0.0414465
+0.0419551
+0.0401772
+0.0383601
+0.0365805
+0.0348243
+0.0330895
+0.0314117
+0.02975
+0.0281353
+0.0265751
+0.025102
+0.0237399
+0.0225089
+0.0214217
+0.020332
+0.0190659
+0.0179298
+0.0169792
+0.0161741
+0.0155504
+0.0146327
+0.013143
+0.0116968
+0.0102487
+0.00843459
+0.00631476
+0.00423103
+0.00216655
+3.70674e-05
+-0.00195233
+-0.00386638
+-0.00588443
+-0.00799013
+-0.0100569
+-0.0117271
+-0.0130565
+-0.0141003
+-0.0125264
+-0.0106896
+-0.0089866
+-0.0075237
+-0.00642599
+-0.00588946
+-0.00598874
+-0.00464607
+-0.00246777
+-0.00039067
+0.00128162
+0.00321044
+0.00525168
+0.00737215
+0.00952444
+0.011691
+0.013828
+0.0159452
+0.0180775
+0.0176067
+0.0154413
+0.0132841
+0.0111401
+0.00901843
+0.00687317
+0.00473244
+0.00262906
+0.000683852
+-0.00071676
+-0.000365206
+0.00159609
+0.00366533
+0.0057578
+0.00783207
+0.00985991
+0.0119066
+0.0138691
+0.0295473
+0.0286733
+0.0278729
+0.0270405
+0.0263405
+0.0257191
+0.0252415
+0.0249107
+0.0247697
+0.0248221
+0.0250665
+0.0254877
+0.0260607
+0.026801
+0.0276953
+0.0286747
+0.0296879
+0.0308167
+0.0320548
+0.0333636
+0.0347608
+0.0362367
+0.037751
+0.0393068
+0.0409083
+0.0425604
+0.0429527
+0.041282
+0.0395125
+0.0377872
+0.0360641
+0.0343918
+0.0327744
+0.0311623
+0.0296057
+0.0281207
+0.0267329
+0.0254581
+0.02431
+0.0233034
+0.0220128
+0.0208236
+0.0197696
+0.0189117
+0.0181434
+0.0175727
+0.0161515
+0.0146959
+0.0132071
+0.0110749
+0.00897085
+0.00691795
+0.00476133
+0.00263636
+0.000551103
+-0.00128743
+-0.00320209
+-0.00524666
+-0.00700532
+-0.00866156
+-0.0102997
+-0.0119095
+-0.0124492
+-0.0119313
+-0.0112413
+-0.0101109
+-0.00891923
+-0.00801687
+-0.00759335
+-0.00709768
+-0.00512829
+-0.00324598
+-0.00139309
+0.000621075
+0.00276195
+0.00493583
+0.00712
+0.00930721
+0.0114522
+0.0135832
+0.0157306
+0.0178885
+0.0179857
+0.0158319
+0.0136875
+0.0115486
+0.00943176
+0.00735827
+0.00532704
+0.00328828
+0.001415
+-8.53862e-05
+-5.62205e-06
+0.00125698
+0.00321247
+0.00529279
+0.00731359
+0.00941071
+0.0114622
+0.0135131
+0.0302985
+0.0294696
+0.0287611
+0.0281867
+0.0276643
+0.0271242
+0.0266554
+0.0263422
+0.026209
+0.0262584
+0.0264896
+0.0268978
+0.0274436
+0.0281476
+0.0290004
+0.0299855
+0.0310185
+0.0321004
+0.0332909
+0.0345771
+0.0359271
+0.037357
+0.0388577
+0.0404138
+0.0420224
+0.04365
+0.0438238
+0.0424682
+0.0407502
+0.0390578
+0.0373911
+0.035781
+0.0342021
+0.0326489
+0.0311549
+0.0297474
+0.0284391
+0.0272443
+0.0261676
+0.0249928
+0.023766
+0.0226402
+0.0216748
+0.0208746
+0.0201554
+0.0191886
+0.0177151
+0.0155899
+0.0134719
+0.0113815
+0.00933714
+0.00726157
+0.0051749
+0.00317953
+0.00131869
+-0.000457473
+-0.00221111
+-0.00399338
+-0.00562015
+-0.00727832
+-0.00904975
+-0.0108229
+-0.0107729
+-0.0102421
+-0.00964789
+-0.00885454
+-0.00758861
+-0.0067147
+-0.00643001
+-0.00679598
+-0.00491947
+-0.00278379
+-0.000735574
+0.000937387
+0.00291309
+0.00500835
+0.00715371
+0.00931866
+0.0114681
+0.0136169
+0.0157762
+0.017937
+0.0184388
+0.0163335
+0.014254
+0.0121544
+0.0100546
+0.00797124
+0.00589863
+0.00391821
+0.00207552
+0.000618803
+0.000422863
+0.00113902
+0.00281336
+0.00479902
+0.00683925
+0.00894252
+0.0110299
+0.0131349
+0.0311349
+0.0303281
+0.0296537
+0.0291198
+0.0287201
+0.0284838
+0.0281688
+0.0278726
+0.0277467
+0.0277934
+0.0280119
+0.0283768
+0.0288926
+0.0295621
+0.0303751
+0.0313206
+0.0323718
+0.0334759
+0.0346215
+0.0358621
+0.03717
+0.0385538
+0.0400097
+0.0415302
+0.0431058
+0.0447248
+0.0447853
+0.0437319
+0.0420656
+0.0404053
+0.0387966
+0.0372473
+0.0357016
+0.0342007
+0.0327775
+0.0314426
+0.0302078
+0.0290796
+0.0279985
+0.0267343
+0.0255639
+0.024518
+0.0236294
+0.0228589
+0.0221829
+0.0202746
+0.0181744
+0.0160984
+0.0139643
+0.011843
+0.00975236
+0.00771748
+0.00574202
+0.00382035
+0.0020567
+0.000529575
+-0.00112762
+-0.00269489
+-0.00434718
+-0.00610451
+-0.00789817
+-0.00965687
+-0.00895481
+-0.00840669
+-0.00805588
+-0.00741291
+-0.00611847
+-0.00504735
+-0.00475137
+-0.00535792
+-0.00434515
+-0.00223447
+-0.00020106
+0.00122502
+0.00300973
+0.00502817
+0.00714874
+0.00930186
+0.0114692
+0.013644
+0.0158232
+0.0179881
+0.0189754
+0.0168446
+0.0147314
+0.0126445
+0.0105994
+0.00859716
+0.00656334
+0.0045562
+0.00270912
+0.00137719
+0.000919613
+0.00136264
+0.0027416
+0.00461874
+0.00668759
+0.00880306
+0.0107077
+0.0127049
+0.0319795
+0.0312176
+0.0305873
+0.0300787
+0.0297232
+0.0295237
+0.0294572
+0.0294773
+0.0293583
+0.0294026
+0.0296063
+0.0299411
+0.0304304
+0.0310667
+0.0318414
+0.0327446
+0.0337611
+0.0348424
+0.036
+0.0372284
+0.0384966
+0.0398343
+0.041245
+0.0427216
+0.0442573
+0.0458463
+0.0458285
+0.0450668
+0.0434314
+0.0418243
+0.0402723
+0.0387603
+0.037255
+0.0358192
+0.0344629
+0.0331959
+0.0320266
+0.030961
+0.0297286
+0.0285245
+0.0274166
+0.026444
+0.0256223
+0.024867
+0.0229367
+0.0208123
+0.0187006
+0.0166064
+0.0145406
+0.0125082
+0.0104856
+0.00854507
+0.00671641
+0.00495244
+0.00325505
+0.00134589
+-0.00035742
+-0.00179466
+-0.00334891
+-0.00507276
+-0.00681084
+-0.00787423
+-0.00722261
+-0.00666357
+-0.00630991
+-0.00591769
+-0.00467713
+-0.00370291
+-0.00333175
+-0.00420228
+-0.00354795
+-0.0021765
+-0.00125067
+0.000658319
+0.00277016
+0.00493299
+0.00704923
+0.009183
+0.0113385
+0.0135053
+0.0156788
+0.0178565
+0.0194989
+0.0174321
+0.0153867
+0.0133086
+0.0111948
+0.0091174
+0.00710837
+0.0052234
+0.00353782
+0.00222555
+0.00153428
+0.00177066
+0.0030208
+0.00472503
+0.00661332
+0.008501
+0.0104612
+0.0124467
+0.0328682
+0.0321266
+0.0315202
+0.0310568
+0.0307429
+0.030583
+0.0305408
+0.0306336
+0.0308819
+0.0310651
+0.0312608
+0.03158
+0.0320442
+0.0326491
+0.0333871
+0.0342496
+0.0352154
+0.0362776
+0.0374063
+0.0386068
+0.0398809
+0.0411737
+0.04254
+0.0439731
+0.0454666
+0.0470148
+0.0469494
+0.046357
+0.0448616
+0.0433076
+0.0418107
+0.0403161
+0.0388699
+0.0374959
+0.0362025
+0.0349985
+0.033886
+0.0327358
+0.0315092
+0.0303546
+0.0293159
+0.0284084
+0.0275045
+0.0255863
+0.0234972
+0.0214284
+0.0193687
+0.0173365
+0.0153269
+0.0133712
+0.0115005
+0.00973764
+0.00798108
+0.00616337
+0.00419575
+0.00235595
+0.000518062
+-0.00122529
+-0.00255502
+-0.00406141
+-0.00560174
+-0.00597282
+-0.00520412
+-0.00482105
+-0.00457457
+-0.00422752
+-0.00363751
+-0.00253549
+-0.00282641
+-0.00327316
+-0.00275511
+-0.00220144
+-0.00154971
+0.000555234
+0.00262753
+0.00478766
+0.00696691
+0.00915161
+0.0113386
+0.0135268
+0.0157157
+0.0179051
+0.0200494
+0.0179387
+0.0158497
+0.0137923
+0.0117831
+0.00978764
+0.00780017
+0.0059372
+0.00425082
+0.00297645
+0.0022495
+0.00228413
+0.00327753
+0.0048027
+0.00662503
+0.00861889
+0.01044
+0.0123394
+0.0338748
+0.0331557
+0.0325685
+0.0321202
+0.0318168
+0.0316602
+0.0316276
+0.0317465
+0.0320152
+0.0324301
+0.0329549
+0.0332824
+0.0337232
+0.0342985
+0.0350018
+0.0358252
+0.0367427
+0.037762
+0.0388634
+0.0400273
+0.0412659
+0.0425812
+0.0439062
+0.045296
+0.0467473
+0.0482544
+0.0481439
+0.0475664
+0.0463512
+0.0448444
+0.0433824
+0.0419274
+0.0405388
+0.0392233
+0.0379888
+0.0368393
+0.0357535
+0.0345067
+0.0333216
+0.0322296
+0.0309246
+0.0295057
+0.0281776
+0.0262609
+0.0242142
+0.0221946
+0.0201959
+0.018236
+0.0163349
+0.0145156
+0.0127606
+0.0109823
+0.0090752
+0.00720104
+0.00535574
+0.00357774
+0.0018511
+0.000216766
+-0.00115694
+-0.00254714
+-0.00387215
+-0.00417854
+-0.00332454
+-0.00285507
+-0.00257047
+-0.00225611
+-0.00201607
+-0.00182464
+-0.00273083
+-0.00316354
+-0.00255973
+-0.00250269
+-0.000895454
+0.00106152
+0.00312778
+0.00523502
+0.00737765
+0.00946804
+0.0115955
+0.0137429
+0.0159021
+0.0180688
+0.0202408
+0.0183888
+0.0162997
+0.0142412
+0.0122286
+0.0102294
+0.00831179
+0.00652043
+0.00489132
+0.0036776
+0.0028045
+0.00264799
+0.00356408
+0.00499619
+0.00665424
+0.00842837
+0.0102771
+0.0120811
+0.0349691
+0.034273
+0.0337052
+0.0332723
+0.0329794
+0.0328271
+0.0327956
+0.0329103
+0.0331696
+0.0335702
+0.034107
+0.0347738
+0.0354581
+0.0360057
+0.0366762
+0.0374591
+0.0383345
+0.0393125
+0.0403718
+0.0415083
+0.0427104
+0.0439825
+0.0453249
+0.0466844
+0.0480937
+0.0495599
+0.0494068
+0.0488442
+0.0478857
+0.046418
+0.0449906
+0.0435894
+0.0422554
+0.0409951
+0.0398146
+0.0387155
+0.037511
+0.0359816
+0.0343811
+0.0328486
+0.0313943
+0.0300295
+0.0287669
+0.0270665
+0.0250764
+0.023115
+0.0211987
+0.0192695
+0.0173981
+0.0155304
+0.0136454
+0.0118436
+0.0100901
+0.00832268
+0.00665223
+0.00493156
+0.00326989
+0.00178133
+0.000409517
+-0.000787238
+-0.00263648
+-0.0027307
+-0.00183384
+-0.00135914
+-0.00098328
+-0.00085324
+-0.000535223
+-0.000766408
+-0.00268073
+-0.00300733
+-0.0030383
+-0.00144437
+0.000272888
+0.00204321
+0.00395422
+0.00593691
+0.00800013
+0.0100536
+0.0121484
+0.0142662
+0.0163819
+0.0184925
+0.0206199
+0.0188552
+0.0167828
+0.0147192
+0.0126967
+0.0107403
+0.00882659
+0.00706188
+0.00555805
+0.00446256
+0.00363882
+0.00353552
+0.00420019
+0.00528817
+0.00665344
+0.00823486
+0.0100231
+0.0117731
+0.0361575
+0.0354847
+0.0349366
+0.0345191
+0.034237
+0.0340935
+0.0340646
+0.0341751
+0.0344248
+0.0348109
+0.0353289
+0.0359731
+0.0367368
+0.0376127
+0.0383871
+0.0391395
+0.0399829
+0.0409216
+0.0419404
+0.0430355
+0.0442122
+0.0454462
+0.0467466
+0.0481116
+0.0495005
+0.0509262
+0.0507329
+0.0501851
+0.0494596
+0.04804
+0.0466463
+0.0452963
+0.0440141
+0.0428056
+0.0415432
+0.0398151
+0.0381345
+0.0365074
+0.034931
+0.0334237
+0.0319956
+0.0306575
+0.0294219
+0.0279545
+0.0259705
+0.0240223
+0.0221196
+0.0202351
+0.0183149
+0.0164573
+0.01466
+0.0129013
+0.011133
+0.00947697
+0.00776071
+0.00605962
+0.00453436
+0.00315756
+0.00101548
+-0.000699405
+-0.00141686
+-0.00108587
+-4.23482e-05
+9.72112e-05
+0.000273888
+0.00078528
+0.00140814
+-0.000248434
+-0.00220454
+-0.00339128
+-0.00259223
+-0.000617362
+0.000862226
+0.00290885
+0.00501447
+0.00695866
+0.00884608
+0.0108188
+0.0128623
+0.0149158
+0.0169808
+0.0190721
+0.0211773
+0.0193319
+0.0172938
+0.015298
+0.0133578
+0.0114256
+0.00960274
+0.00789892
+0.00635162
+0.0050937
+0.00434816
+0.00432649
+0.00470949
+0.00552101
+0.00676895
+0.00829703
+0.00994436
+0.0117062
+0.0374364
+0.0367871
+0.0362587
+0.0358566
+0.035585
+0.035447
+0.0354203
+0.0355265
+0.0357668
+0.0361386
+0.0366378
+0.0372593
+0.0379972
+0.0388447
+0.0397949
+0.0408406
+0.0416813
+0.0425826
+0.0435627
+0.0446181
+0.045754
+0.0469645
+0.0482259
+0.0495502
+0.0509343
+0.0523486
+0.0521173
+0.0515843
+0.0506231
+0.0493192
+0.0479435
+0.0464512
+0.0450161
+0.0436438
+0.0421136
+0.0404098
+0.038755
+0.0371551
+0.0356074
+0.03413
+0.0327327
+0.031426
+0.0302219
+0.0288239
+0.0269041
+0.0250212
+0.0230796
+0.0211867
+0.0193568
+0.0175713
+0.0158029
+0.0140522
+0.0123529
+0.0106293
+0.00892488
+0.00733897
+0.00552586
+0.00345735
+0.00154655
+0.000557113
+0.000189368
+0.000236729
+0.00173662
+0.00183377
+0.00235084
+0.00279609
+0.00250597
+0.000498905
+-0.00166297
+-0.00376813
+-0.0019277
+-0.000621969
+0.00108061
+0.0032509
+0.00543511
+0.00754785
+0.00964732
+0.01178
+0.0137422
+0.0157111
+0.0177321
+0.0197892
+0.021839
+0.0198681
+0.0178667
+0.0159146
+0.0139827
+0.0120876
+0.0103105
+0.00869517
+0.0072565
+0.00604994
+0.00529581
+0.00503881
+0.00537088
+0.00624578
+0.00730873
+0.00867395
+0.0102839
+0.011996
+0.038797
+0.0381708
+0.0376619
+0.0372749
+0.0370137
+0.0368811
+0.0368554
+0.0369575
+0.0371885
+0.0375462
+0.038027
+0.0386262
+0.0393384
+0.0401576
+0.0410774
+0.0420913
+0.0431926
+0.044278
+0.0452306
+0.0462502
+0.0473471
+0.0485181
+0.0497569
+0.0510423
+0.052387
+0.0537874
+0.0528439
+0.0514098
+0.0500305
+0.0487107
+0.0472584
+0.0457438
+0.0442858
+0.0428901
+0.0415631
+0.0403116
+0.0391427
+0.0379185
+0.0364032
+0.0349595
+0.0335967
+0.032325
+0.0311556
+0.0298292
+0.0278907
+0.0259789
+0.0241146
+0.0223097
+0.0205329
+0.0187576
+0.017012
+0.0153088
+0.0135861
+0.0118981
+0.0102886
+0.00830533
+0.00634075
+0.00457455
+0.00319093
+0.002201
+0.00193144
+0.00213715
+0.00311042
+0.00337676
+0.003761
+0.00435436
+0.00291321
+0.000750807
+-0.00142573
+-0.00360722
+-0.00207982
+-0.000397177
+0.001589
+0.00362538
+0.00569636
+0.00783275
+0.00998718
+0.0121457
+0.0143138
+0.0164878
+0.0186396
+0.0206063
+0.0225212
+0.0205511
+0.0185783
+0.0166299
+0.0147496
+0.0129334
+0.0112105
+0.00963616
+0.00831868
+0.00727631
+0.00643807
+0.00598331
+0.00626552
+0.00711647
+0.00813447
+0.00940109
+0.0109193
+0.012631
+0.040231
+0.0396274
+0.0391374
+0.0387652
+0.0385141
+0.0383866
+0.0383619
+0.03846
+0.0386821
+0.0390262
+0.0394889
+0.0400662
+0.0407533
+0.0415446
+0.0424344
+0.0434166
+0.044485
+0.0456337
+0.0468567
+0.0479044
+0.0489795
+0.0501142
+0.0513152
+0.05258
+0.0538896
+0.053866
+0.0523682
+0.0509207
+0.0495277
+0.0481942
+0.0466662
+0.0451317
+0.0436533
+0.0422367
+0.0408885
+0.0396157
+0.0384257
+0.0373264
+0.036326
+0.0354264
+0.0345735
+0.0333391
+0.0322066
+0.0308046
+0.0289195
+0.0270804
+0.0252974
+0.0235252
+0.021747
+0.0200137
+0.0183046
+0.0165744
+0.0149053
+0.0131894
+0.0112245
+0.00936043
+0.00765832
+0.00618731
+0.00506258
+0.00413199
+0.00397168
+0.00418908
+0.00487044
+0.00532313
+0.00560483
+0.00424289
+0.00229084
+0.000319262
+-0.00172136
+-0.00381566
+-0.00194881
+0.000144401
+0.00228553
+0.00439194
+0.00651516
+0.0085208
+0.0105407
+0.0126177
+0.0147277
+0.0168582
+0.0190025
+0.0211018
+0.0224492
+0.0212777
+0.0193186
+0.0174148
+0.0155866
+0.0138546
+0.0122532
+0.0108171
+0.00965153
+0.0085805
+0.00768905
+0.00727874
+0.00751244
+0.00810875
+0.00880283
+0.00992994
+0.0112859
+0.012805
+0.0417307
+0.0411492
+0.0406775
+0.0403194
+0.0400781
+0.0399556
+0.0399319
+0.0400262
+0.0402396
+0.0405704
+0.0410157
+0.0415719
+0.0422344
+0.0429985
+0.0438588
+0.0448098
+0.0458458
+0.0469612
+0.0481505
+0.0494084
+0.0506236
+0.0517282
+0.0528925
+0.0541204
+0.0550433
+0.0534891
+0.0519805
+0.0505219
+0.0491176
+0.0477721
+0.0461705
+0.0446189
+0.0431229
+0.0416884
+0.0403218
+0.0390305
+0.0378221
+0.0367047
+0.035687
+0.0347707
+0.0339515
+0.0332566
+0.032694
+0.0318899
+0.0300729
+0.0283041
+0.0265326
+0.0247562
+0.023041
+0.021311
+0.0195957
+0.0179339
+0.0161172
+0.0142196
+0.0124157
+0.0107464
+0.00923705
+0.00804131
+0.00694671
+0.00623354
+0.00611324
+0.0062816
+0.00681511
+0.00580544
+0.00441329
+0.00308767
+0.00150841
+-0.000372192
+-0.00217645
+-0.00315751
+-0.0011348
+0.000743793
+0.00276111
+0.00485617
+0.00700895
+0.00917899
+0.0113564
+0.0134185
+0.0154193
+0.0172925
+0.0185331
+0.0198417
+0.0212691
+0.0220722
+0.0201903
+0.0183719
+0.0166386
+0.0150252
+0.0135331
+0.0122362
+0.0110817
+0.00999717
+0.00920676
+0.00867661
+0.0084649
+0.00868478
+0.00940117
+0.010464
+0.0117165
+0.0131861
+0.0432893
+0.042729
+0.042275
+0.0419306
+0.0416986
+0.0415809
+0.0415581
+0.0416487
+0.0418538
+0.042172
+0.0426006
+0.0431363
+0.0437752
+0.0445128
+0.0453444
+0.0462648
+0.047269
+0.0483516
+0.0495075
+0.0507317
+0.0520194
+0.0533655
+0.0545123
+0.0557045
+0.0547623
+0.0531999
+0.0516829
+0.0502156
+0.0488025
+0.0473894
+0.0457743
+0.0442089
+0.0426985
+0.0412492
+0.0398676
+0.0385611
+0.0373374
+0.0362051
+0.0351729
+0.034243
+0.0334108
+0.0327044
+0.0321321
+0.0317012
+0.0313241
+0.0295492
+0.0277849
+0.0260849
+0.0243358
+0.0226377
+0.0209828
+0.0190989
+0.0172511
+0.0154878
+0.0138351
+0.012311
+0.0110137
+0.00989055
+0.00892719
+0.00837962
+0.00827661
+0.00788984
+0.00610996
+0.00452322
+0.00298338
+0.00177771
+0.000592685
+-0.000788672
+-0.00243012
+-0.00254688
+-0.00110255
+0.000939487
+0.00304169
+0.00514731
+0.00730314
+0.00947482
+0.0116174
+0.013716
+0.0147911
+0.015936
+0.017256
+0.0187113
+0.0202579
+0.0218784
+0.0212418
+0.0195174
+0.0178948
+0.0163634
+0.0149914
+0.0137341
+0.0124137
+0.0111226
+0.0101188
+0.00947782
+0.00926603
+0.00955113
+0.0102242
+0.0111196
+0.0122603
+0.0136412
+0.0449008
+0.0443609
+0.0439237
+0.0435923
+0.0433692
+0.043256
+0.0432341
+0.0433212
+0.0435185
+0.0438246
+0.0442371
+0.0447532
+0.0453694
+0.0460815
+0.0468853
+0.047776
+0.0487491
+0.0497995
+0.0509226
+0.0521135
+0.0533679
+0.0546808
+0.0560377
+0.0561763
+0.0545679
+0.0529998
+0.0514768
+0.0500035
+0.0485843
+0.0471055
+0.0454804
+0.0439044
+0.0423832
+0.0409227
+0.0395297
+0.0382116
+0.0369764
+0.0358327
+0.0347895
+0.033849
+0.0330069
+0.0322916
+0.0317119
+0.0312752
+0.0309876
+0.0308274
+0.0291284
+0.027377
+0.0256931
+0.023986
+0.0221126
+0.0203015
+0.0185685
+0.0169248
+0.0153946
+0.0140405
+0.0129048
+0.0118177
+0.0109852
+0.0105311
+0.00921394
+0.00717105
+0.00522711
+0.00341773
+0.00205643
+0.000757269
+-7.79056e-06
+-0.000896269
+-0.00218472
+-0.00223865
+-0.000787488
+0.000897686
+0.00295796
+0.00510505
+0.00727585
+0.00945436
+0.011102
+0.0123299
+0.0135106
+0.0147545
+0.0161671
+0.0176835
+0.0193013
+0.0209607
+0.0224547
+0.0208212
+0.0192762
+0.0178594
+0.016297
+0.0146954
+0.0132458
+0.0120227
+0.0110453
+0.010413
+0.0102207
+0.0104299
+0.0109722
+0.0118882
+0.0129779
+0.0143077
+0.0465528
+0.0460322
+0.045611
+0.045292
+0.0450773
+0.0449685
+0.0449545
+0.0450382
+0.045228
+0.0455226
+0.0459199
+0.0464173
+0.0470116
+0.0476993
+0.0484762
+0.0493383
+0.0502811
+0.0513001
+0.052391
+0.0535494
+0.0547709
+0.0560509
+0.0573755
+0.0560724
+0.0544609
+0.0528897
+0.0513634
+0.0498868
+0.0484641
+0.0469222
+0.0452906
+0.0437078
+0.0421795
+0.0407117
+0.0393112
+0.0379855
+0.0367428
+0.0355915
+0.034541
+0.0335936
+0.0327449
+0.0320238
+0.0314391
+0.0309985
+0.0307083
+0.0305727
+0.0304297
+0.0287572
+0.0269874
+0.0251468
+0.0233637
+0.0216542
+0.0200169
+0.018483
+0.0170929
+0.0158843
+0.0147651
+0.0137952
+0.0130864
+0.011188
+0.00906242
+0.00697718
+0.00497835
+0.00311398
+0.0017992
+0.00109671
+0.000875472
+-0.000230042
+-0.00163427
+-0.00249638
+-0.000715759
+0.00131553
+0.00335779
+0.00538734
+0.00723055
+0.00866933
+0.00990874
+0.0111715
+0.0123994
+0.0137517
+0.0152134
+0.01671
+0.0183423
+0.0200812
+0.0219013
+0.0222321
+0.0204936
+0.0187501
+0.0170841
+0.0155487
+0.0141861
+0.0130145
+0.0121261
+0.0115595
+0.0113414
+0.0115064
+0.012005
+0.0128433
+0.0139231
+0.0151718
+0.0482415
+0.0477394
+0.0473334
+0.0470261
+0.0468193
+0.0467145
+0.0467124
+0.0467948
+0.0469775
+0.0472612
+0.047644
+0.0481236
+0.0486971
+0.0493612
+0.0501124
+0.0509468
+0.0518604
+0.052849
+0.0539086
+0.055035
+0.0562242
+0.0574719
+0.0577043
+0.0560541
+0.054442
+0.0528702
+0.0513434
+0.0498661
+0.0484429
+0.0468409
+0.0452063
+0.0436204
+0.0420889
+0.0406179
+0.0392141
+0.037885
+0.0366388
+0.0354842
+0.0344304
+0.0334798
+0.0326281
+0.0319044
+0.0313175
+0.0308752
+0.0305838
+0.0304477
+0.0304688
+0.0300085
+0.0281945
+0.0264343
+0.0247422
+0.0231106
+0.0215743
+0.0201593
+0.0188929
+0.0177627
+0.0167048
+0.0156659
+0.0135344
+0.0114253
+0.00935378
+0.00735164
+0.00548269
+0.00380604
+0.00279291
+0.00242593
+0.00197858
+0.00016203
+-0.00189497
+-0.00260547
+-0.000472856
+0.00158657
+0.00363038
+0.00514918
+0.00648545
+0.0077789
+0.00897599
+0.0102565
+0.0115393
+0.0128827
+0.0143193
+0.0158953
+0.0175973
+0.0193883
+0.0212543
+0.0230653
+0.0213008
+0.0196224
+0.0180416
+0.0165951
+0.0153141
+0.0142334
+0.0134242
+0.0129089
+0.012704
+0.0128515
+0.013308
+0.0140771
+0.0150899
+0.0162585
+0.0499693
+0.0494847
+0.0490931
+0.0487969
+0.0485977
+0.0484967
+0.0484946
+0.0485866
+0.0487626
+0.049036
+0.049405
+0.0498677
+0.0504214
+0.0510631
+0.0517896
+0.0525974
+0.0534828
+0.0544419
+0.0554711
+0.0565664
+0.0577241
+0.05894
+0.0577634
+0.0561138
+0.0545023
+0.0529325
+0.0514081
+0.0499333
+0.0485126
+0.0468619
+0.045228
+0.043643
+0.0421123
+0.0406421
+0.0392391
+0.037911
+0.0366656
+0.0355119
+0.034459
+0.0335076
+0.0326567
+0.0319336
+0.0313473
+0.0309054
+0.0306143
+0.0304783
+0.0304802
+0.0302131
+0.0295107
+0.0278304
+0.0262054
+0.0246672
+0.023234
+0.0219264
+0.020768
+0.0196515
+0.018227
+0.0161365
+0.0140764
+0.0120624
+0.0101204
+0.00825481
+0.00657334
+0.00525281
+0.00454024
+0.00434907
+0.00254282
+0.000758113
+-0.000388277
+-0.000962842
+0.00047209
+0.00219063
+0.00399783
+0.00496519
+0.00620981
+0.00730009
+0.00843015
+0.0094643
+0.0106689
+0.01208
+0.0136631
+0.0153068
+0.017065
+0.0189064
+0.0208156
+0.0227756
+0.0222831
+0.0206846
+0.0191909
+0.0178378
+0.0166533
+0.0156653
+0.0149202
+0.0144584
+0.014264
+0.0143956
+0.014821
+0.0155167
+0.0164202
+0.0175268
+0.0517321
+0.0512642
+0.0508863
+0.0506006
+0.0504085
+0.0503112
+0.0503091
+0.0504024
+0.0505758
+0.0508394
+0.0511955
+0.0516421
+0.0521769
+0.0527973
+0.0535003
+0.0542826
+0.0551409
+0.0560718
+0.0570715
+0.0581367
+0.0592637
+0.0595763
+0.0578955
+0.0562497
+0.0546423
+0.0530766
+0.0515565
+0.050086
+0.0486558
+0.0469825
+0.0453534
+0.0437733
+0.042246
+0.0407777
+0.0393767
+0.0380502
+0.0368064
+0.035654
+0.034602
+0.0336523
+0.0328052
+0.0320854
+0.0315019
+0.0310622
+0.0307726
+0.0306373
+0.0306391
+0.0304344
+0.0299436
+0.0293008
+0.0277613
+0.0263143
+0.0249758
+0.0237642
+0.0226381
+0.0209338
+0.0188888
+0.0168804
+0.0149218
+0.0130065
+0.0111897
+0.00953133
+0.00811391
+0.00708611
+0.0065179
+0.00542545
+0.00376079
+0.00257449
+0.00155985
+0.00102579
+0.00208557
+0.00355124
+0.00435917
+0.00514757
+0.00594422
+0.006804
+0.0079643
+0.00888035
+0.0101546
+0.0116283
+0.0132808
+0.0150147
+0.0168035
+0.0186708
+0.0206018
+0.0225803
+0.0234289
+0.0219002
+0.0204919
+0.0192305
+0.0181469
+0.0172498
+0.0165647
+0.0161485
+0.0159729
+0.0160905
+0.0164726
+0.0170951
+0.0179192
+0.018948
+0.0535265
+0.0530744
+0.0527095
+0.0524337
+0.0522484
+0.0521545
+0.0521526
+0.0522425
+0.0524113
+0.0526657
+0.0530095
+0.053441
+0.053958
+0.0545581
+0.0552387
+0.0559968
+0.0568292
+0.0577328
+0.0587043
+0.0597403
+0.0608377
+0.0597847
+0.0581099
+0.0564704
+0.0548694
+0.0533104
+0.0517971
+0.0503337
+0.0488538
+0.0471876
+0.0455658
+0.0439933
+0.0424738
+0.0410138
+0.0396211
+0.0383031
+0.0370678
+0.0359237
+0.0348799
+0.033938
+0.0330981
+0.0323849
+0.0318069
+0.0313715
+0.0310847
+0.0309508
+0.0309525
+0.0307675
+0.030282
+0.0299461
+0.0293983
+0.0280358
+0.0267835
+0.0256512
+0.0237365
+0.0217344
+0.0197722
+0.0178378
+0.0159697
+0.0141941
+0.0125503
+0.0110875
+0.00988522
+0.00902633
+0.00792612
+0.00647853
+0.00523138
+0.00431905
+0.00347939
+0.0030991
+0.0036691
+0.00429875
+0.0050097
+0.00561595
+0.00611518
+0.00692581
+0.00791969
+0.00881739
+0.0100999
+0.0115805
+0.0132138
+0.01497
+0.0168109
+0.0186902
+0.0206199
+0.0225968
+0.0246099
+0.0232522
+0.0219309
+0.0207571
+0.0197574
+0.0189131
+0.0182905
+0.0179157
+0.017764
+0.0178698
+0.0182106
+0.0187813
+0.0195491
+0.0204928
+0.0553495
+0.0549124
+0.0545598
+0.0542934
+0.0541144
+0.0540238
+0.0540219
+0.0541088
+0.0542732
+0.0545189
+0.0548511
+0.0552682
+0.0557682
+0.0563491
+0.0570083
+0.0577431
+0.0585507
+0.0594282
+0.0603724
+0.0613803
+0.0617715
+0.0600722
+0.0584057
+0.0567748
+0.0551826
+0.0536327
+0.0521288
+0.050675
+0.0491487
+0.0474929
+0.0458819
+0.0443206
+0.0428128
+0.0413647
+0.0399842
+0.0386786
+0.0374557
+0.0363238
+0.0352918
+0.0343612
+0.0335319
+0.0328282
+0.0322581
+0.0318288
+0.0315463
+0.0314143
+0.031416
+0.0312337
+0.0307555
+0.030428
+0.0302528
+0.029819
+0.0286015
+0.0266048
+0.0246404
+0.0226979
+0.0208049
+0.018976
+0.0172317
+0.0156004
+0.0141148
+0.0128224
+0.0115407
+0.0100248
+0.00866801
+0.0074601
+0.00656853
+0.00594112
+0.00535
+0.00504319
+0.00506703
+0.00534827
+0.00589061
+0.00637173
+0.00683698
+0.00761889
+0.00839008
+0.00924843
+0.0104362
+0.0118761
+0.0134625
+0.01519
+0.017007
+0.0188891
+0.020827
+0.0227886
+0.0247885
+0.0247065
+0.0234672
+0.0223743
+0.02145
+0.0206749
+0.0201068
+0.0197666
+0.0196293
+0.0197251
+0.0200375
+0.0205576
+0.0212547
+0.0221297
+0.0571983
+0.0567754
+0.0564345
+0.056177
+0.056004
+0.0559164
+0.0559146
+0.0559985
+0.0561588
+0.0563963
+0.0567175
+0.0571209
+0.0576049
+0.0581675
+0.0588063
+0.0595189
+0.0603027
+0.061155
+0.062073
+0.0630537
+0.0621272
+0.0604379
+0.0587817
+0.0571615
+0.0555805
+0.054042
+0.0525498
+0.0511079
+0.0495389
+0.0478965
+0.0462996
+0.0447529
+0.0432601
+0.0418275
+0.0404628
+0.0391731
+0.0379662
+0.03685
+0.0358332
+0.034917
+0.0341013
+0.0334095
+0.0328495
+0.0324281
+0.0321508
+0.0320212
+0.0320229
+0.0318441
+0.0313753
+0.0310543
+0.0308857
+0.0308689
+0.0291523
+0.0272732
+0.025444
+0.0236751
+0.0219617
+0.0202876
+0.0186663
+0.0171673
+0.015607
+0.0139307
+0.0123804
+0.0109482
+0.00974612
+0.00876115
+0.00805874
+0.00765787
+0.00713981
+0.0067982
+0.00672141
+0.00687358
+0.00726479
+0.00763931
+0.00805891
+0.00872524
+0.00930688
+0.0100877
+0.0111906
+0.0125437
+0.0140525
+0.0157152
+0.0174776
+0.0193139
+0.0212177
+0.0231721
+0.0251506
+0.0262633
+0.025101
+0.0240823
+0.0232261
+0.0225121
+0.0219915
+0.0216809
+0.0215559
+0.0216431
+0.0219161
+0.0223696
+0.0230055
+0.0238266
+0.0590704
+0.0586611
+0.0583312
+0.0580821
+0.0579148
+0.0578301
+0.0578283
+0.0579095
+0.0580658
+0.0582955
+0.0586063
+0.0589968
+0.0594656
+0.0600107
+0.06063
+0.0613215
+0.0620826
+0.0629108
+0.0638034
+0.0642659
+0.0625576
+0.0608803
+0.0592365
+0.0576291
+0.0560612
+0.0545362
+0.0530579
+0.0516303
+0.050022
+0.048396
+0.0468161
+0.0452871
+0.0438125
+0.0423986
+0.0410529
+0.0397824
+0.0385945
+0.037497
+0.0364982
+0.0355991
+0.0347994
+0.0341217
+0.0335736
+0.0331614
+0.0328903
+0.0327637
+0.0327654
+0.0325906
+0.0321327
+0.0318193
+0.0316548
+0.0315346
+0.0296446
+0.0277988
+0.0260065
+0.0242735
+0.0225856
+0.0209908
+0.0195119
+0.0181548
+0.0165301
+0.0149557
+0.0135101
+0.0121867
+0.0111043
+0.0102841
+0.00973828
+0.00939048
+0.00894662
+0.00870312
+0.0085387
+0.00863675
+0.00895146
+0.00919533
+0.00958521
+0.0101887
+0.0106038
+0.0112956
+0.0122941
+0.0135365
+0.0149433
+0.0165167
+0.0182015
+0.0199714
+0.0218178
+0.0237229
+0.0256081
+0.0275185
+0.0268142
+0.0258631
+0.0250678
+0.0244077
+0.0239284
+0.0236432
+0.0235258
+0.0235857
+0.0238203
+0.0242381
+0.0248262
+0.0255889
+0.0609638
+0.0605673
+0.0602478
+0.0600067
+0.0598448
+0.0597628
+0.0597611
+0.0598397
+0.0599922
+0.0602146
+0.0605155
+0.0608938
+0.061348
+0.0618765
+0.0624774
+0.0631486
+0.063888
+0.064693
+0.0655615
+0.0647562
+0.0630613
+0.0613977
+0.0597681
+0.0581754
+0.0566226
+0.0551132
+0.0536508
+0.0522394
+0.0505955
+0.0489885
+0.0474284
+0.0459197
+0.0444662
+0.0430737
+0.0417497
+0.0405011
+0.0393349
+0.0382587
+0.0372803
+0.036395
+0.0356128
+0.0349507
+0.0344155
+0.0340133
+0.0337488
+0.0336252
+0.0336288
+0.0334641
+0.0330183
+0.0327134
+0.0325534
+0.032132
+0.030279
+0.0284685
+0.026715
+0.0250243
+0.0233906
+0.0218547
+0.0204384
+0.019152
+0.0176463
+0.0161694
+0.0148257
+0.0136307
+0.0126722
+0.0119805
+0.0115823
+0.0112047
+0.0108746
+0.0106748
+0.0104971
+0.0105316
+0.0107475
+0.0109473
+0.0113181
+0.0117999
+0.012126
+0.0127254
+0.0136502
+0.0147672
+0.0160608
+0.0175337
+0.0191443
+0.0208394
+0.0226151
+0.0244232
+0.0262372
+0.0281049
+0.0285928
+0.0277
+0.0269245
+0.026309
+0.0258503
+0.0255501
+0.0254359
+0.0254924
+0.0257173
+0.0261238
+0.0266715
+0.0273829
+0.0628766
+0.0624921
+0.0621825
+0.0619489
+0.0617921
+0.0617128
+0.0617111
+0.0617872
+0.0619361
+0.0621516
+0.0624432
+0.0628099
+0.0632503
+0.0637631
+0.0643464
+0.0649983
+0.0657168
+0.0664997
+0.0670259
+0.0653164
+0.0636363
+0.0619882
+0.0603746
+0.0587983
+0.0572624
+0.0557703
+0.0543256
+0.052885
+0.0512562
+0.0496707
+0.0481326
+0.0466468
+0.0452166
+0.0438479
+0.0425481
+0.0413236
+0.0401812
+0.0391283
+0.0381574
+0.0372836
+0.0365205
+0.0358752
+0.035354
+0.0349626
+0.0347053
+0.0345851
+0.0345888
+0.034455
+0.0340222
+0.0337264
+0.0335712
+0.0328534
+0.0310435
+0.0292803
+0.0275784
+0.0259339
+0.0243613
+0.0228906
+0.021538
+0.020308
+0.018928
+0.0175592
+0.0163303
+0.0152536
+0.0144035
+0.0138065
+0.0134846
+0.0131083
+0.0127851
+0.0126113
+0.0125326
+0.0125049
+0.012649
+0.0128159
+0.0131778
+0.0135324
+0.013792
+0.0143405
+0.0151671
+0.0161629
+0.0173528
+0.0187243
+0.0202405
+0.021867
+0.0235674
+0.0252727
+0.0270297
+0.0288462
+0.0303778
+0.0295101
+0.0287834
+0.0282085
+0.0277732
+0.0274941
+0.0273879
+0.0274415
+0.0276505
+0.0280297
+0.0285485
+0.0292142
+0.0648069
+0.064434
+0.0641337
+0.0639073
+0.0637553
+0.0636784
+0.0636768
+0.0637505
+0.0638961
+0.0641049
+0.0643877
+0.0647433
+0.0651708
+0.0656685
+0.066235
+0.0668685
+0.0675671
+0.0683289
+0.0676383
+0.0659446
+0.064281
+0.0626498
+0.0610537
+0.0594954
+0.057978
+0.0565048
+0.0550793
+0.0536071
+0.0520009
+0.0504388
+0.0489249
+0.0474639
+0.046059
+0.0447162
+0.0434423
+0.0422437
+0.041127
+0.0400821
+0.0391288
+0.0382772
+0.0375343
+0.0369067
+0.0364003
+0.0360202
+0.0357705
+0.0356539
+0.0356577
+0.0355534
+0.0351341
+0.0348477
+0.0346976
+0.0336786
+0.0319148
+0.0302047
+0.0285603
+0.0269785
+0.0254786
+0.0240743
+0.0227707
+0.0216084
+0.0203652
+0.0190878
+0.0179552
+0.0169767
+0.0162366
+0.0157192
+0.0154537
+0.0150744
+0.0147699
+0.0146198
+0.014613
+0.0145405
+0.0146287
+0.0147731
+0.0150865
+0.0153601
+0.0155879
+0.0160862
+0.0168272
+0.0177203
+0.018812
+0.020084
+0.0215046
+0.0230419
+0.0246602
+0.0262778
+0.0279717
+0.0297259
+0.0315098
+0.0313688
+0.0306861
+0.0301475
+0.0297333
+0.0294727
+0.0293737
+0.0294246
+0.0296196
+0.0299739
+0.0304674
+0.031092
+0.0667533
+0.0663913
+0.0661
+0.0658802
+0.0657328
+0.0656582
+0.0656567
+0.0657282
+0.0658705
+0.0660731
+0.0663475
+0.0666927
+0.0671077
+0.0675912
+0.0681417
+0.0687577
+0.0694373
+0.0700203
+0.0683154
+0.066639
+0.0649931
+0.0633803
+0.061803
+0.0602641
+0.0587665
+0.0573136
+0.0559088
+0.0544061
+0.0528243
+0.0512872
+0.0497991
+0.0483645
+0.0469882
+0.0456731
+0.0444267
+0.0432547
+0.0421469
+0.0411248
+0.0401962
+0.0393677
+0.0386458
+0.0380365
+0.0375453
+0.037177
+0.0369351
+0.0368222
+0.0368261
+0.0367329
+0.0363272
+0.0360503
+0.0359052
+0.0346189
+0.0329056
+0.0312497
+0.0296633
+0.0281436
+0.0267063
+0.0253711
+0.0241396
+0.0230343
+0.0219241
+0.0207158
+0.0196739
+0.0187851
+0.0181149
+0.0176494
+0.0174485
+0.0170845
+0.016806
+0.0166742
+0.0167217
+0.0166157
+0.0166612
+0.0167882
+0.0170413
+0.0172688
+0.0174742
+0.01792
+0.0185645
+0.0194004
+0.0204024
+0.0215809
+0.0229088
+0.0243576
+0.0258578
+0.0274214
+0.0290488
+0.0307268
+0.0324557
+0.0332679
+0.032625
+0.0321155
+0.0317235
+0.0314794
+0.0313867
+0.0314353
+0.0316179
+0.03195
+0.0324208
+0.0330085
+0.0687144
+0.0683628
+0.0680799
+0.0678666
+0.0677235
+0.0676511
+0.0676496
+0.067719
+0.0678582
+0.068055
+0.0683214
+0.0686567
+0.0690599
+0.0695298
+0.0700651
+0.0706643
+0.0713257
+0.0707425
+0.0690554
+0.0673974
+0.0657705
+0.0641772
+0.06262
+0.0611017
+0.0596252
+0.0581937
+0.0568107
+0.0552654
+0.0537089
+0.0521979
+0.0507365
+0.0493291
+0.0479806
+0.0466958
+0.0454804
+0.0443322
+0.0432508
+0.0422554
+0.0413522
+0.0405473
+0.0398468
+0.0392562
+0.0387805
+0.0384239
+0.03819
+0.0380808
+0.0380847
+0.037994
+0.0376019
+0.0373345
+0.0371944
+0.0356691
+0.0340087
+0.0324093
+0.0308785
+0.0294084
+0.0280325
+0.0267654
+0.0256123
+0.024573
+0.02356
+0.0224399
+0.0214786
+0.0206676
+0.0200488
+0.0196292
+0.0194488
+0.0191344
+0.0188767
+0.0187594
+0.0188186
+0.0187172
+0.0187295
+0.0188425
+0.0190359
+0.0192144
+0.0194177
+0.0198264
+0.020388
+0.0211609
+0.0220876
+0.0231805
+0.0244215
+0.0257718
+0.0271795
+0.0286856
+0.0302424
+0.0318471
+0.0335183
+0.0352009
+0.0345939
+0.0341074
+0.0337386
+0.0335092
+0.0334221
+0.0334686
+0.0336402
+0.0339525
+0.0344015
+0.0349571
+0.070689
+0.0703472
+0.0700724
+0.0698651
+0.0697261
+0.0696558
+0.0696543
+0.0697217
+0.0698576
+0.0700492
+0.0703081
+0.070634
+0.0710259
+0.0714829
+0.0720037
+0.0725869
+0.0732202
+0.0715245
+0.0698563
+0.0682178
+0.0666109
+0.0650382
+0.0635021
+0.0620054
+0.0605509
+0.0591419
+0.0577696
+0.056197
+0.054667
+0.0531832
+0.0517497
+0.0503706
+0.0490507
+0.0477948
+0.046608
+0.0454886
+0.0444354
+0.0434671
+0.0425896
+0.0418085
+0.0411295
+0.0405575
+0.0400973
+0.0397526
+0.0395265
+0.039421
+0.0394249
+0.0393368
+0.0389582
+0.0387002
+0.0384701
+0.0368065
+0.0351979
+0.0336502
+0.0321717
+0.0307634
+0.0294509
+0.0282475
+0.0271677
+0.0261958
+0.0252798
+0.0242394
+0.0233495
+0.0226057
+0.0220308
+0.0216497
+0.0214862
+0.0212124
+0.0209718
+0.020866
+0.0209282
+0.0208371
+0.0208227
+0.0209245
+0.0210695
+0.0212055
+0.0213941
+0.021766
+0.0222777
+0.0229867
+0.0238417
+0.0248576
+0.0260187
+0.0272742
+0.0286081
+0.0300426
+0.0315326
+0.0330748
+0.0346868
+0.0363595
+0.036588
+0.0361223
+0.0357743
+0.035558
+0.035476
+0.0355206
+0.0356823
+0.0359769
+0.0364013
+0.0369329
+0.0726759
+0.0723436
+0.0720763
+0.0718749
+0.0717398
+0.0716714
+0.07167
+0.0717355
+0.0718678
+0.0720549
+0.0723066
+0.0726235
+0.0730048
+0.0734495
+0.0739564
+0.0745243
+0.0740408
+0.0723644
+0.0707161
+0.0690979
+0.067512
+0.0659608
+0.0644467
+0.0629724
+0.0615408
+0.0601549
+0.0587432
+0.0571974
+0.0556949
+0.0542392
+0.0528343
+0.0514843
+0.0501937
+0.0489671
+0.0478094
+0.0467192
+0.0456943
+0.0447533
+0.0439015
+0.0431442
+0.0424865
+0.0419331
+0.0414881
+0.041155
+0.0409366
+0.0408348
+0.0408388
+0.0407531
+0.0403879
+0.040139
+0.039646
+0.0380291
+0.0364699
+0.0349784
+0.0335581
+0.0322105
+0.0309594
+0.029817
+0.0287961
+0.0278815
+0.0270564
+0.0260987
+0.0252642
+0.0245785
+0.0240491
+0.0237004
+0.0235512
+0.0233048
+0.0230846
+0.022988
+0.0230293
+0.0229687
+0.0229103
+0.0230267
+0.0231283
+0.0232326
+0.0234087
+0.0237483
+0.0242182
+0.0248715
+0.025663
+0.0266094
+0.0276972
+0.0288648
+0.0301283
+0.0314937
+0.0329181
+0.0343983
+0.035951
+0.0375674
+0.0386035
+0.0381567
+0.0378273
+0.0376229
+0.0375454
+0.0375882
+0.0377411
+0.0380198
+0.0384216
+0.0389317
+0.0746743
+0.0743509
+0.0740909
+0.0738949
+0.0737635
+0.0736971
+0.0736957
+0.0737594
+0.073888
+0.0740711
+0.0743159
+0.0746243
+0.0749954
+0.0754284
+0.0759221
+0.0764754
+0.0749166
+0.0732602
+0.0716325
+0.0700355
+0.0684713
+0.0669423
+0.065451
+0.0639998
+0.0625917
+0.0612295
+0.0597812
+0.058263
+0.0567887
+0.0553618
+0.0539861
+0.0526657
+0.0514047
+0.0502077
+0.0490793
+0.0480182
+0.0470216
+0.0461077
+0.0452814
+0.0445476
+0.0439109
+0.0433757
+0.0429456
+0.0426239
+0.0424131
+0.0423148
+0.0423189
+0.0422357
+0.0418833
+0.0416434
+0.0408989
+0.0393315
+0.037826
+0.0363902
+0.0350268
+0.0337379
+0.0325456
+0.0314608
+0.030495
+0.0296316
+0.0288807
+0.0280061
+0.0272194
+0.0265841
+0.0260952
+0.0257742
+0.0256371
+0.0253985
+0.0252108
+0.0251216
+0.025134
+0.0250833
+0.0250134
+0.025135
+0.0251967
+0.0252869
+0.0254524
+0.0257537
+0.0261876
+0.0267941
+0.0275381
+0.0284222
+0.0294431
+0.0305298
+0.0317271
+0.0330265
+0.0343875
+0.035807
+0.0373011
+0.0388614
+0.0404786
+0.0402074
+0.039895
+0.0397012
+0.0396278
+0.0396691
+0.039814
+0.0400783
+0.0404596
+0.0409501
+0.0766832
+0.0763683
+0.0761152
+0.0759244
+0.0757965
+0.0757319
+0.0757305
+0.0757925
+0.0759177
+0.0760969
+0.0763352
+0.0766355
+0.0769969
+0.0774187
+0.0778998
+0.0775086
+0.0758456
+0.0742099
+0.0726035
+0.0710283
+0.0694865
+0.0679803
+0.0665122
+0.0650844
+0.0636998
+0.0623615
+0.0608804
+0.0593903
+0.0579447
+0.056547
+0.0552009
+0.0539102
+0.052679
+0.0515116
+0.0504124
+0.0493803
+0.0484118
+0.0475246
+0.0467233
+0.0460125
+0.0453964
+0.0448788
+0.0444633
+0.0441527
+0.0439493
+0.0438544
+0.0438584
+0.0437777
+0.0434378
+0.0432066
+0.0422265
+0.0407102
+0.0392576
+0.0378761
+0.0365678
+0.0353352
+0.0341986
+0.0331679
+0.0322414
+0.0314222
+0.0307375
+0.0299345
+0.029208
+0.0286169
+0.028163
+0.0278659
+0.0277391
+0.0275073
+0.0273468
+0.0272639
+0.0272522
+0.0271949
+0.0271304
+0.0272426
+0.0272842
+0.0273625
+0.0275132
+0.0277834
+0.0281861
+0.0287505
+0.0294569
+0.030285
+0.0312349
+0.0322577
+0.0333931
+0.03463
+0.0359304
+0.0372912
+0.0387281
+0.0402331
+0.0417972
+0.0422722
+0.0419752
+0.041791
+0.0417213
+0.0417612
+0.0418989
+0.0421501
+0.0425128
+0.0429842
+0.0787018
+0.078395
+0.0781484
+0.0779627
+0.0778381
+0.0777751
+0.0777738
+0.0778342
+0.0779561
+0.0781316
+0.0783638
+0.0786563
+0.0790085
+0.0794195
+0.0798886
+0.0784681
+0.0768258
+0.0752114
+0.0736269
+0.0720741
+0.070555
+0.0690717
+0.0676269
+0.066223
+0.0648627
+0.0635412
+0.0620376
+0.0605759
+0.0591592
+0.0577909
+0.0564745
+0.0552136
+0.0540121
+0.0528742
+0.0518039
+0.0507998
+0.049859
+0.0489981
+0.0482214
+0.047533
+0.0469369
+0.0464366
+0.0460352
+0.0457353
+0.0455389
+0.0454474
+0.0454515
+0.0453731
+0.0450453
+0.0448223
+0.0436237
+0.0421577
+0.0407568
+0.0394278
+0.0381713
+0.0369913
+0.0359063
+0.0349251
+0.0340353
+0.0332603
+0.0326142
+0.0318955
+0.0312236
+0.0306714
+0.0302482
+0.0299717
+0.0298539
+0.029628
+0.02947
+0.0293945
+0.0293811
+0.0293181
+0.0292583
+0.0293623
+0.0293867
+0.0294547
+0.029587
+0.0298359
+0.0302113
+0.0307385
+0.03141
+0.0321891
+0.0330713
+0.034039
+0.0351168
+0.036295
+0.0375377
+0.0388422
+0.0402238
+0.0416748
+0.0431868
+0.0443491
+0.0440661
+0.0438907
+0.0438243
+0.0438629
+0.043994
+0.0442333
+0.0445791
+0.045029
+0.0807293
+0.0804303
+0.08019
+0.0800089
+0.0798876
+0.0798262
+0.079825
+0.0798838
+0.0800026
+0.0801746
+0.0804008
+0.0806859
+0.0810293
+0.0814302
+0.0811241
+0.0794763
+0.0778553
+0.0762627
+0.0747001
+0.0731697
+0.0716736
+0.070214
+0.0687931
+0.0674136
+0.0660778
+0.0647243
+0.0632489
+0.0618159
+0.0604283
+0.0590894
+0.0578025
+0.0565712
+0.0553992
+0.0542903
+0.0532469
+0.0522584
+0.0513444
+0.0505089
+0.0497559
+0.0490892
+0.0485124
+0.0480286
+0.0476408
+0.0473512
+0.0471617
+0.0470735
+0.0470819
+0.0470165
+0.0467002
+0.0464851
+0.0450841
+0.0436672
+0.0423162
+0.0410348
+0.0398191
+0.0386894
+0.0376534
+0.0367189
+0.0358733
+0.0351388
+0.0345279
+0.0338846
+0.0332614
+0.0327436
+0.0323473
+0.0320889
+0.0319789
+0.0317582
+0.0316024
+0.031532
+0.0315184
+0.0314505
+0.0313948
+0.0314917
+0.0315012
+0.0315602
+0.0316765
+0.0319068
+0.0322581
+0.0327524
+0.0333834
+0.0341276
+0.0349485
+0.0358656
+0.0368901
+0.0380134
+0.0391967
+0.0404478
+0.0417763
+0.0431751
+0.0446377
+0.0461569
+0.0461662
+0.0459989
+0.0459355
+0.045973
+0.0460981
+0.0463265
+0.0466568
+0.0470868
+0.0827652
+0.0824735
+0.0822392
+0.0820627
+0.0819444
+0.0818845
+0.0818833
+0.0819406
+0.0820564
+0.0822251
+0.0824457
+0.0827238
+0.0830587
+0.0834498
+0.0821582
+0.0805314
+0.0789317
+0.0773609
+0.0758209
+0.0743136
+0.072841
+0.0714052
+0.0700085
+0.0686534
+0.0673422
+0.0659572
+0.0645099
+0.0631055
+0.0617469
+0.0604372
+0.0591797
+0.0579776
+0.0568346
+0.0557543
+0.054727
+0.0537657
+0.0528777
+0.0520669
+0.0513367
+0.0506908
+0.0501324
+0.0496644
+0.0492894
+0.0490096
+0.0488266
+0.0487414
+0.0487498
+0.0486954
+0.0483901
+0.0480321
+0.0466018
+0.0452324
+0.0439296
+0.0426845
+0.0415172
+0.0404349
+0.0394448
+0.0385538
+0.0377489
+0.0370516
+0.0364725
+0.0358964
+0.0353083
+0.0348303
+0.0344578
+0.0342154
+0.0341122
+0.0338961
+0.0337422
+0.0336763
+0.0336626
+0.0335904
+0.0335383
+0.0336191
+0.0336247
+0.0336739
+0.0337788
+0.0339928
+0.0343227
+0.0347877
+0.0353824
+0.0360894
+0.0368603
+0.037731
+0.0387061
+0.0397746
+0.0409058
+0.0421061
+0.0433838
+0.0447324
+0.0461457
+0.0476178
+0.0482744
+0.0481144
+0.0480538
+0.0480902
+0.0482098
+0.0484283
+0.0487444
+0.0491561
+0.0848088
+0.0845241
+0.0842955
+0.0841233
+0.0840079
+0.0839496
+0.0839484
+0.0840043
+0.0841173
+0.0842827
+0.0844979
+0.0847693
+0.0850962
+0.0848681
+0.0832364
+0.0816309
+0.0800532
+0.0785048
+0.0769877
+0.0755037
+0.0740547
+0.072643
+0.0712706
+0.0699399
+0.0686533
+0.0672388
+0.0658197
+0.0644439
+0.0631141
+0.0618334
+0.0606048
+0.0594316
+0.0583171
+0.0572568
+0.0562534
+0.0553186
+0.054456
+0.053669
+0.052961
+0.0523351
+0.0517944
+0.0513416
+0.050979
+0.0507084
+0.0505316
+0.0504493
+0.0504577
+0.0504115
+0.0501167
+0.0495563
+0.0481713
+0.0468478
+0.0455803
+0.0443811
+0.0432595
+0.042222
+0.0412747
+0.0404241
+0.0396568
+0.0389937
+0.0384373
+0.0379217
+0.0373648
+0.0369207
+0.0365778
+0.0363495
+0.0362523
+0.0360403
+0.0358882
+0.0358262
+0.0358125
+0.0357365
+0.0356875
+0.0357507
+0.0357529
+0.0357934
+0.0358918
+0.0360911
+0.036402
+0.0368408
+0.0374029
+0.0380701
+0.0388016
+0.0396297
+0.0405592
+0.0415693
+0.0426589
+0.0438112
+0.0450406
+0.046341
+0.0477066
+0.049132
+0.0503896
+0.0502363
+0.0501783
+0.0502138
+0.0503283
+0.0505377
+0.0508406
+0.0512355
+0.0868595
+0.0865816
+0.0863585
+0.0861904
+0.0860778
+0.0860208
+0.0860196
+0.0860742
+0.0861845
+0.0863468
+0.0865569
+0.0868218
+0.087141
+0.0859679
+0.0843575
+0.0827738
+0.0812183
+0.0796926
+0.0781985
+0.0767379
+0.0753127
+0.0739249
+0.0725768
+0.0712705
+0.0699984
+0.0685664
+0.0671754
+0.0658279
+0.0645267
+0.0632746
+0.0620745
+0.0609296
+0.05984
+0.0587991
+0.0578226
+0.0569136
+0.0560755
+0.0553115
+0.0546248
+0.0540182
+0.0534945
+0.0530562
+0.0527054
+0.0524438
+0.0522727
+0.0521932
+0.0522016
+0.0521632
+0.0518784
+0.051129
+0.0497877
+0.0485012
+0.0472745
+0.0461193
+0.0450411
+0.0440455
+0.0431383
+0.0423251
+0.0415927
+0.0409609
+0.0404254
+0.0399603
+0.0394357
+0.0390164
+0.0387001
+0.0384899
+0.0383982
+0.0381898
+0.0380393
+0.0379808
+0.037967
+0.0378877
+0.0378415
+0.0378892
+0.0378862
+0.0379206
+0.0380135
+0.0381998
+0.0384937
+0.0389088
+0.0394407
+0.0400727
+0.0407682
+0.0415571
+0.0424418
+0.0434005
+0.0444466
+0.0455578
+0.0467413
+0.0479957
+0.0493155
+0.0506957
+0.0521314
+0.052364
+0.0523083
+0.0523429
+0.0524528
+0.0526536
+0.0529445
+0.0533238
+0.0873234
+0.0858952
+0.0844376
+0.0830123
+0.0816209
+0.0802576
+0.0788798
+0.0774697
+0.0760793
+0.0747272
+0.0734155
+0.0721466
+0.0708259
+0.0695379
+0.068273
+0.067044
+0.0658009
+0.0645481
+0.0633331
+0.062166
+0.0610552
+0.0599722
+0.0588712
+0.0578016
+0.0567964
+0.0558591
+0.0549898
+0.0541729
+0.0532772
+0.0523422
+0.0514834
+0.0506941
+0.049925
+0.0492414
+0.0486174
+0.0480422
+0.0475566
+0.0471678
+0.0464549
+0.0457604
+0.0451454
+0.0445953
+0.0441353
+0.0437749
+0.0435059
+0.0433461
+0.0432778
+0.043301
+0.0434088
+0.0436265
+0.0439524
+0.0443771
+0.044891
+0.0454872
+0.0461402
+0.0468831
+0.0477151
+0.0486316
+0.049628
+0.0506872
+0.051814
+0.0507135
+0.0496021
+0.0485642
+0.0476045
+0.0467278
+0.045939
+0.045237
+0.0446263
+0.044116
+0.0437097
+0.0434103
+0.04322
+0.0431402
+0.0431716
+0.0433076
+0.0435384
+0.0438776
+0.0443225
+0.0448605
+0.0454976
+0.0462299
+0.0470527
+0.0479517
+0.0489258
+0.0498154
+0.0507432
+0.0517473
+0.0528231
+0.0539664
+0.0551731
+0.0564391
+0.0577604
+0.0591319
+0.0605498
+0.0620127
+0.0635174
+0.0650611
+0.0666411
+0.0682549
+0.0856685
+0.0842375
+0.0828017
+0.0813477
+0.0799274
+0.0785424
+0.0771741
+0.0758035
+0.0743842
+0.0730007
+0.0716575
+0.0703568
+0.0690826
+0.0677615
+0.0664858
+0.0652253
+0.0639939
+0.0627487
+0.0615073
+0.060306
+0.0591603
+0.0580619
+0.0569864
+0.0558823
+0.054842
+0.0538706
+0.0529713
+0.0521408
+0.0513078
+0.050353
+0.0494597
+0.0486488
+0.0478653
+0.0471518
+0.046522
+0.0459209
+0.0454136
+0.0450063
+0.0444164
+0.0436896
+0.0430536
+0.0424921
+0.042009
+0.0416358
+0.0413543
+0.0411861
+0.0411153
+0.0411428
+0.0412563
+0.0414852
+0.0418278
+0.0422693
+0.0428085
+0.0434241
+0.0441056
+0.0448822
+0.0457506
+0.0467057
+0.0477367
+0.0488333
+0.0500019
+0.0488606
+0.0477061
+0.046626
+0.0456255
+0.0447101
+0.0438851
+0.0431535
+0.0425129
+0.0419769
+0.0415497
+0.0412346
+0.0410342
+0.0409501
+0.0409832
+0.0411249
+0.0413679
+0.0417247
+0.0421901
+0.0427548
+0.0434228
+0.0441894
+0.0450452
+0.0459831
+0.0469494
+0.0478503
+0.0488155
+0.0498584
+0.0509741
+0.052158
+0.0534055
+0.0547124
+0.0560744
+0.0574862
+0.0589437
+0.0604454
+0.0619882
+0.0635691
+0.0651853
+0.0668342
+0.084038
+0.0825788
+0.0811525
+0.0797086
+0.0782585
+0.0768435
+0.0754655
+0.0740917
+0.0727156
+0.0712998
+0.0699239
+0.0685904
+0.0673017
+0.0660099
+0.0647002
+0.0634301
+0.0621826
+0.0609456
+0.0596969
+0.0584689
+0.0572864
+0.0561645
+0.0550782
+0.0539837
+0.052906
+0.0518985
+0.0509652
+0.0501059
+0.0492924
+0.0483813
+0.0474509
+0.046605
+0.0458178
+0.0450719
+0.0444216
+0.0438061
+0.0432753
+0.0428477
+0.0423932
+0.041631
+0.0409711
+0.0403981
+0.0398897
+0.0394965
+0.039207
+0.0390296
+0.038956
+0.0389882
+0.0391079
+0.0393494
+0.0397104
+0.0401704
+0.0407374
+0.0413732
+0.0420866
+0.0428998
+0.0438075
+0.044804
+0.0458682
+0.0470084
+0.0482213
+0.0470368
+0.0458364
+0.0447111
+0.0436668
+0.0427094
+0.041845
+0.0410792
+0.0404077
+0.0398434
+0.0393931
+0.0390605
+0.0388489
+0.0387601
+0.0387951
+0.038943
+0.0391996
+0.0395759
+0.0400637
+0.040658
+0.0413599
+0.0421641
+0.0430552
+0.0440302
+0.0449847
+0.0459056
+0.0469109
+0.0479951
+0.0491531
+0.0503799
+0.0516704
+0.05302
+0.0544244
+0.0558779
+0.0573762
+0.0589179
+0.0604997
+0.0621185
+0.0637714
+0.0654559
+0.0824332
+0.0809453
+0.0794897
+0.0780685
+0.0766159
+0.07517
+0.0737608
+0.0723904
+0.0710108
+0.0696262
+0.0682166
+0.066849
+0.0655261
+0.0642508
+0.0629398
+0.0616427
+0.0603763
+0.0591456
+0.0579025
+0.0566502
+0.0554358
+0.0542757
+0.0531725
+0.0521021
+0.0509907
+0.0499445
+0.0489741
+0.0480821
+0.0472574
+0.0464241
+0.0454589
+0.0445752
+0.043783
+0.043003
+0.0423209
+0.0416992
+0.0411426
+0.0406926
+0.0403224
+0.0395866
+0.0388929
+0.0382977
+0.0377786
+0.0373632
+0.0370648
+0.0368771
+0.0368004
+0.0368379
+0.0369645
+0.0372199
+0.0376012
+0.0380818
+0.0386776
+0.0393364
+0.0400857
+0.0409386
+0.0418889
+0.0429219
+0.0440295
+0.0452161
+0.0464757
+0.0452456
+0.0439963
+0.0428227
+0.0417312
+0.0407283
+0.0398209
+0.0390154
+0.0383121
+0.0377165
+0.0372404
+0.0368885
+0.0366643
+0.0365702
+0.0366073
+0.0367622
+0.0370339
+0.037432
+0.0379448
+0.0385717
+0.0393108
+0.0401528
+0.0410856
+0.042052
+0.043022
+0.0439841
+0.0450323
+0.0461607
+0.0473635
+0.0486354
+0.049971
+0.0513653
+0.0528137
+0.0543103
+0.0558507
+0.0574334
+0.059055
+0.0607123
+0.0624025
+0.064123
+0.0808191
+0.0793388
+0.0778531
+0.0764014
+0.0749857
+0.0735237
+0.0720823
+0.0706794
+0.0693174
+0.0679314
+0.0665376
+0.0651348
+0.0637764
+0.0624653
+0.0612045
+0.0598725
+0.0585894
+0.0573274
+0.0560977
+0.0548542
+0.0536092
+0.0524103
+0.0512754
+0.050185
+0.0490984
+0.048011
+0.0470007
+0.0460724
+0.0452253
+0.0444032
+0.043486
+0.0425614
+0.0417314
+0.0409467
+0.0402298
+0.0396014
+0.0390164
+0.0385415
+0.038163
+0.0375587
+0.0368268
+0.0362079
+0.0356771
+0.0352369
+0.0349286
+0.0347294
+0.0346492
+0.0346926
+0.034827
+0.035098
+0.0354979
+0.0360053
+0.0366246
+0.0373167
+0.0381057
+0.0390019
+0.0399978
+0.0410681
+0.0422243
+0.0434603
+0.0447693
+0.043491
+0.0421897
+0.0409644
+0.039822
+0.0387698
+0.0378154
+0.0369662
+0.0362277
+0.0355972
+0.0350924
+0.0347188
+0.0344805
+0.0343804
+0.0344198
+0.0345827
+0.0348713
+0.0352938
+0.0358344
+0.0364976
+0.0372779
+0.0381592
+0.0391355
+0.0400959
+0.0410825
+0.0420889
+0.0431831
+0.0443585
+0.045609
+0.0469284
+0.0483112
+0.0497521
+0.0512461
+0.0527871
+0.0543707
+0.0559953
+0.0576573
+0.0593536
+0.0610814
+0.062594
+0.0791983
+0.0777292
+0.0762444
+0.0747614
+0.073314
+0.0719041
+0.070432
+0.0689956
+0.0675996
+0.0662336
+0.0648538
+0.0634499
+0.0620546
+0.0607063
+0.0594083
+0.0581309
+0.0568085
+0.0555361
+0.054284
+0.053048
+0.0518006
+0.0505711
+0.0493939
+0.048285
+0.0472117
+0.0461005
+0.0450473
+0.0440779
+0.043195
+0.0423776
+0.0415331
+0.0405659
+0.0396942
+0.0389052
+0.0381499
+0.0375076
+0.0368963
+0.0363952
+0.0360073
+0.0355336
+0.034776
+0.0341251
+0.0335828
+0.033119
+0.032791
+0.0325863
+0.0325033
+0.0325534
+0.0326966
+0.032985
+0.0334045
+0.0339432
+0.0345885
+0.0353172
+0.0361499
+0.0370935
+0.0381285
+0.039249
+0.0404572
+0.0417456
+0.0431067
+0.0417775
+0.0404212
+0.0391405
+0.0379432
+0.0368374
+0.0358315
+0.0349342
+0.0341541
+0.0334872
+0.0329501
+0.0325518
+0.0322976
+0.0321908
+0.0322328
+0.0324046
+0.0327125
+0.0331606
+0.0337343
+0.0344379
+0.0352621
+0.0361884
+0.037155
+0.0381653
+0.0391694
+0.0402237
+0.0413672
+0.0425928
+0.0438936
+0.0452631
+0.0466952
+0.0481844
+0.0497256
+0.0513123
+0.05294
+0.0546072
+0.0563102
+0.058004
+0.0594978
+0.0610335
+0.0776056
+0.0761057
+0.07464
+0.0731503
+0.0716703
+0.0702274
+0.0688117
+0.0673409
+0.0659099
+0.0645216
+0.0631493
+0.0617782
+0.0603632
+0.0589763
+0.0576393
+0.0563558
+0.0550572
+0.0537485
+0.0524802
+0.0512471
+0.0500042
+0.0487526
+0.0475389
+0.0463882
+0.0452929
+0.044216
+0.0431168
+0.042103
+0.0411809
+0.0403461
+0.0395163
+0.0385916
+0.0376742
+0.0368643
+0.0360831
+0.0354033
+0.0347848
+0.0342544
+0.0338546
+0.0335118
+0.0327433
+0.0320512
+0.0314849
+0.0310112
+0.0306606
+0.0304449
+0.0303632
+0.0304199
+0.0305747
+0.0308829
+0.0313244
+0.0318983
+0.0325726
+0.033337
+0.0342179
+0.0352133
+0.0362943
+0.0374697
+0.0387335
+0.0400773
+0.0414932
+0.0401105
+0.0386958
+0.0373561
+0.0360996
+0.0349355
+0.0338732
+0.0329226
+0.0320935
+0.0313882
+0.0308145
+0.0303883
+0.0301158
+0.0300012
+0.0300463
+0.0302284
+0.0305582
+0.0310342
+0.0316464
+0.0323955
+0.0332639
+0.0342417
+0.0351994
+0.0362595
+0.0372868
+0.0383929
+0.0395893
+0.0408683
+0.0422222
+0.0436442
+0.0451277
+0.046667
+0.0482566
+0.0498901
+0.0515627
+0.053273
+0.0549112
+0.0564018
+0.0579367
+0.0594946
+0.0760426
+0.0745113
+0.0730136
+0.0715502
+0.0700565
+0.0685797
+0.067142
+0.0657175
+0.0642504
+0.0628255
+0.0614456
+0.0600663
+0.0587049
+0.0572778
+0.0559002
+0.0545758
+0.0533085
+0.0519864
+0.0506931
+0.0494297
+0.0482019
+0.0469612
+0.0457113
+0.0445158
+0.0433956
+0.0423162
+0.0412123
+0.0401505
+0.0391824
+0.0383108
+0.0375025
+0.0366408
+0.0356744
+0.034818
+0.0340318
+0.0333102
+0.0326837
+0.0321204
+0.0316937
+0.0313424
+0.0307179
+0.0299939
+0.0293992
+0.0289157
+0.0285394
+0.0283112
+0.0282289
+0.0282899
+0.0284632
+0.028794
+0.0292605
+0.029874
+0.0305771
+0.0313826
+0.0323169
+0.0333656
+0.0345017
+0.0357362
+0.0370591
+0.0384614
+0.0399347
+0.0384961
+0.0370197
+0.035617
+0.0342969
+0.0330694
+0.0319451
+0.0309352
+0.0300514
+0.0293027
+0.0286873
+0.028229
+0.0279354
+0.0278119
+0.0278605
+0.0280544
+0.0284095
+0.0289174
+0.0295735
+0.0303735
+0.0312915
+0.0322583
+0.0332731
+0.0343783
+0.0354397
+0.0366016
+0.0378548
+0.0391904
+0.0406003
+0.0420771
+0.043614
+0.0452048
+0.0468441
+0.0485251
+0.0502433
+0.051819
+0.053306
+0.0548401
+0.0563975
+0.0579824
+0.0744885
+0.0729477
+0.0714173
+0.069922
+0.0684573
+0.0669632
+0.0654899
+0.0640577
+0.0626236
+0.0611608
+0.0597424
+0.0583718
+0.056985
+0.0556138
+0.0541939
+0.0528267
+0.0515164
+0.050256
+0.0489191
+0.0476416
+0.0463854
+0.0451507
+0.0439051
+0.0426737
+0.0415038
+0.0404025
+0.0393331
+0.0382237
+0.0372056
+0.0362904
+0.0354625
+0.0346327
+0.0336983
+0.0327904
+0.0319974
+0.0312304
+0.0305951
+0.0299945
+0.0295371
+0.0291763
+0.0287024
+0.0279568
+0.0273192
+0.026825
+0.0264296
+0.0261868
+0.0261039
+0.0261699
+0.0263646
+0.0267207
+0.0272163
+0.0278712
+0.0286019
+0.0294615
+0.0304548
+0.0315587
+0.0327576
+0.0340553
+0.0354411
+0.0369049
+0.0384379
+0.036941
+0.0353999
+0.0339302
+0.0325418
+0.0312454
+0.0300529
+0.0289772
+0.0280318
+0.0272301
+0.0265704
+0.0260749
+0.0257568
+0.0256227
+0.0256755
+0.0258833
+0.0262677
+0.0268125
+0.0275187
+0.0283698
+0.0293496
+0.0303035
+0.031374
+0.0325136
+0.0336339
+0.0348561
+0.0361697
+0.0375653
+0.039034
+0.0405678
+0.0421598
+0.0438034
+0.0454932
+0.0472224
+0.0487276
+0.0502106
+0.0517437
+0.0533005
+0.0548867
+0.0565038
+0.0729521
+0.071393
+0.0698532
+0.0683237
+0.0668309
+0.0653648
+0.0638703
+0.0624009
+0.0609749
+0.0595301
+0.058072
+0.056661
+0.0552983
+0.0539057
+0.0525235
+0.0511116
+0.0497562
+0.0484619
+0.0471801
+0.0458559
+0.0445851
+0.0433488
+0.0421059
+0.0408554
+0.0396427
+0.0385054
+0.0374214
+0.0363269
+0.035254
+0.0342877
+0.0334309
+0.0326169
+0.03175
+0.0307851
+0.0299492
+0.0291669
+0.0284905
+0.0278769
+0.027386
+0.0270141
+0.0266799
+0.0259333
+0.0252564
+0.024736
+0.024334
+0.0240743
+0.0239852
+0.0240626
+0.0242823
+0.0246617
+0.0251968
+0.0258882
+0.0266605
+0.0275807
+0.0286392
+0.0298034
+0.0310701
+0.0324354
+0.0338875
+0.0354156
+0.0370103
+0.0354532
+0.0338444
+0.032304
+0.0308425
+0.0294714
+0.0282041
+0.027055
+0.0260398
+0.0251748
+0.0244665
+0.0239275
+0.0235804
+0.0234339
+0.0234916
+0.0237157
+0.0241335
+0.0247224
+0.0254867
+0.0263953
+0.0273624
+0.0283825
+0.0295134
+0.030692
+0.0318764
+0.0331634
+0.0345415
+0.0360002
+0.0375302
+0.039123
+0.0407714
+0.0424688
+0.0442067
+0.0456371
+0.0471155
+0.0486474
+0.0502036
+0.0517912
+0.0534122
+0.0550726
+0.0714499
+0.0698573
+0.0682978
+0.066759
+0.0652305
+0.0637406
+0.0622729
+0.060778
+0.0593129
+0.0578937
+0.0564372
+0.0549843
+0.0535816
+0.0522114
+0.0508286
+0.0494342
+0.0480314
+0.0466894
+0.0454134
+0.0441049
+0.0427977
+0.0415323
+0.0403062
+0.0390695
+0.0378136
+0.036623
+0.0355142
+0.0344533
+0.0333322
+0.0323085
+0.0314021
+0.0305837
+0.029754
+0.0288068
+0.0279117
+0.0271233
+0.0263946
+0.0257713
+0.0252417
+0.0248569
+0.0245818
+0.0239159
+0.0232171
+0.022658
+0.0222568
+0.0219771
+0.0218795
+0.0219715
+0.0222208
+0.0226263
+0.0232084
+0.0239328
+0.0247607
+0.0257488
+0.0268734
+0.0281093
+0.0294489
+0.030886
+0.0324075
+0.0340022
+0.0353843
+0.0340414
+0.0323625
+0.030748
+0.0292087
+0.027757
+0.0264075
+0.0251766
+0.0240823
+0.0231443
+0.0223793
+0.0217887
+0.021407
+0.0212454
+0.0213091
+0.0215529
+0.0220071
+0.0226514
+0.0234775
+0.0244578
+0.0254086
+0.0264932
+0.0277012
+0.0289216
+0.0301756
+0.0315321
+0.0329784
+0.0345033
+0.0360968
+0.0377502
+0.0394559
+0.0411236
+0.0425477
+0.0440208
+0.0455514
+0.0471069
+0.0486961
+0.0503213
+0.0519882
+0.0536926
+0.0699837
+0.0683573
+0.0667628
+0.0652029
+0.0636652
+0.0621378
+0.0606511
+0.0591817
+0.0576862
+0.056226
+0.0548144
+0.0533448
+0.0518978
+0.0505044
+0.0491258
+0.0477542
+0.0463461
+0.0449537
+0.043627
+0.042372
+0.0410332
+0.039745
+0.0384869
+0.037254
+0.036011
+0.0347768
+0.0336176
+0.0325278
+0.0314456
+0.0303583
+0.0293943
+0.0285536
+0.0277297
+0.0268615
+0.0258993
+0.0250919
+0.0243154
+0.0236811
+0.0231061
+0.0227062
+0.0224047
+0.0218942
+0.0212007
+0.0205944
+0.0201825
+0.0199
+0.0197922
+0.019902
+0.0201839
+0.0206228
+0.0212598
+0.0220155
+0.0229128
+0.0239754
+0.0251728
+0.0264881
+0.0279057
+0.0294182
+0.0310118
+0.0326747
+0.0338002
+0.0326618
+0.0309648
+0.0292733
+0.027652
+0.026114
+0.0246748
+0.0233526
+0.0221686
+0.0211458
+0.0203087
+0.0196613
+0.0192374
+0.0190575
+0.019125
+0.0193963
+0.0198947
+0.0206052
+0.0215002
+0.0224675
+0.0234934
+0.0246537
+0.025947
+0.0272125
+0.0285417
+0.0299722
+0.0314902
+0.0330838
+0.0347424
+0.0364573
+0.0380429
+0.0394596
+0.0409267
+0.0424557
+0.0440103
+0.0456013
+0.0472315
+0.0489055
+0.0506189
+0.052368
+0.0684073
+0.0668912
+0.0652651
+0.0636686
+0.0621083
+0.0605718
+0.0590457
+0.0575625
+0.0560912
+0.0545952
+0.0531403
+0.0517358
+0.0502531
+0.0488128
+0.0474299
+0.046042
+0.0446831
+0.0432593
+0.041879
+0.04057
+0.0393049
+0.0379657
+0.0366913
+0.0354505
+0.0342078
+0.0329589
+0.0317478
+0.0306292
+0.0295644
+0.0284432
+0.0274119
+0.0265176
+0.0257124
+0.024883
+0.0239182
+0.0230414
+0.0222577
+0.0215871
+0.0209818
+0.0205574
+0.0202304
+0.0198687
+0.019186
+0.01856
+0.0181151
+0.0178481
+0.0177299
+0.0178613
+0.018175
+0.0186613
+0.019363
+0.0201541
+0.0211306
+0.0222689
+0.0235532
+0.024954
+0.0264539
+0.0280449
+0.0297123
+0.0314421
+0.0322848
+0.031091
+0.0296472
+0.0278928
+0.0261862
+0.0245565
+0.0230202
+0.021597
+0.0203108
+0.0191893
+0.0182627
+0.0175494
+0.0170732
+0.0168702
+0.0169426
+0.0172482
+0.0178013
+0.0185885
+0.0195684
+0.0205155
+0.0216206
+0.0228761
+0.0242512
+0.0255769
+0.0269867
+0.0284954
+0.0300881
+0.0317521
+0.0334768
+0.0349653
+0.0363733
+0.0378331
+0.0393604
+0.040914
+0.042507
+0.0441427
+0.0458248
+0.0475484
+0.049309
+0.0510502
+0.0668591
+0.0653146
+0.0637992
+0.0621736
+0.0605748
+0.059014
+0.057479
+0.0559542
+0.054475
+0.0530016
+0.0515051
+0.0500562
+0.0486444
+0.0471622
+0.0457295
+0.0443587
+0.0429602
+0.0416113
+0.0401744
+0.0388079
+0.0375197
+0.0362308
+0.0349037
+0.0336356
+0.0324113
+0.0311718
+0.0299163
+0.0287335
+0.0276359
+0.0265686
+0.0254637
+0.0245029
+0.02367
+0.0228473
+0.0219762
+0.0210194
+0.0202252
+0.0194876
+0.01887
+0.018398
+0.018057
+0.0178218
+0.0171458
+0.0165649
+0.0160732
+0.0158154
+0.0157024
+0.0158607
+0.0162131
+0.0167568
+0.0175094
+0.0183655
+0.0194252
+0.020654
+0.0220326
+0.0235242
+0.0251096
+0.0267806
+0.0285181
+0.0303138
+0.0308505
+0.029599
+0.0283888
+0.0265874
+0.0248254
+0.0231021
+0.0214619
+0.0199277
+0.018526
+0.0172891
+0.0162545
+0.0154596
+0.0149168
+0.014684
+0.0147627
+0.0151122
+0.0157343
+0.0166071
+0.0175748
+0.0186089
+0.0198131
+0.0211648
+0.0226169
+0.0240298
+0.0255253
+0.0271154
+0.0287845
+0.0305197
+0.0318917
+0.0332891
+0.0347404
+0.0362656
+0.037818
+0.0394133
+0.0410554
+0.0427467
+0.0444817
+0.0462408
+0.0479853
+0.0497487
+0.0653477
+0.0637666
+0.0622225
+0.0607072
+0.0590828
+0.0574815
+0.0559202
+0.0543867
+0.0528636
+0.0513887
+0.0499124
+0.0484159
+0.046974
+0.0455512
+0.0440724
+0.0426484
+0.0412817
+0.039881
+0.038519
+0.0370916
+0.0357416
+0.034478
+0.0331533
+0.0318486
+0.0305884
+0.0293583
+0.0281195
+0.026881
+0.0257391
+0.0246685
+0.0235581
+0.0225162
+0.0216394
+0.0208431
+0.0200256
+0.0190346
+0.0181864
+0.0174105
+0.0167781
+0.0162454
+0.0158877
+0.015752
+0.0151066
+0.0145548
+0.014068
+0.0137842
+0.0137252
+0.0139145
+0.0143131
+0.014931
+0.0157251
+0.0166723
+0.0178219
+0.0191538
+0.0206329
+0.0222186
+0.0238893
+0.0256349
+0.0274444
+0.0293061
+0.0294966
+0.0281949
+0.0269774
+0.0253664
+0.0235375
+0.0217625
+0.0200223
+0.0183683
+0.0168373
+0.0154659
+0.0143
+0.0133935
+0.012772
+0.0124994
+0.0125865
+0.0129874
+0.0137055
+0.0146852
+0.0156257
+0.016763
+0.0180824
+0.0195235
+0.0210623
+0.0225896
+0.0241743
+0.0258476
+0.0275154
+0.0288224
+0.0302078
+0.0316488
+0.0331714
+0.0347224
+0.0363204
+0.0379699
+0.0396718
+0.0414196
+0.0431679
+0.0449249
+0.0466692
+0.0484023
+0.0638428
+0.0622572
+0.0606746
+0.0591309
+0.0576154
+0.0559927
+0.0543887
+0.0528268
+0.0512951
+0.0497738
+0.048304
+0.0468207
+0.045328
+0.043894
+0.0424587
+0.0409838
+0.03957
+0.0381928
+0.0368049
+0.0354277
+0.0340116
+0.0326812
+0.0314353
+0.0300801
+0.0287986
+0.0275525
+0.0263101
+0.0250638
+0.0238553
+0.0227469
+0.0216935
+0.0205708
+0.0196144
+0.0187941
+0.0179738
+0.0170856
+0.0161508
+0.0153651
+0.0147017
+0.0141046
+0.0137251
+0.0135695
+0.0130644
+0.0124769
+0.0120867
+0.0118102
+0.0117901
+0.0120197
+0.0124786
+0.0132077
+0.0140563
+0.0150946
+0.0163554
+0.0177974
+0.0193803
+0.0210561
+0.0228082
+0.0246306
+0.0265087
+0.0284317
+0.0282427
+0.0268799
+0.0256177
+0.024282
+0.0223646
+0.0205021
+0.0187106
+0.0169492
+0.0152766
+0.0137504
+0.0124246
+0.0113695
+0.010646
+0.0103174
+0.0104163
+0.0108882
+0.0117185
+0.0126864
+0.0137345
+0.0150065
+0.0164318
+0.0179679
+0.0195184
+0.0211177
+0.0227733
+0.0244814
+0.0257563
+0.0271304
+0.0285586
+0.030078
+0.0316273
+0.0332284
+0.0348865
+0.0366007
+0.0383634
+0.0400989
+0.04187
+0.0435922
+0.0453372
+0.0470726
+0.0623293
+0.0607521
+0.0591674
+0.0575833
+0.0560401
+0.0545243
+0.0529036
+0.0512966
+0.0497341
+0.0482044
+0.0466852
+0.045221
+0.0437299
+0.0422416
+0.0408151
+0.039367
+0.0378968
+0.0364949
+0.0351055
+0.0337328
+0.0323376
+0.0309353
+0.0296287
+0.0283556
+0.0270125
+0.0257401
+0.0245189
+0.0232749
+0.02202
+0.0208508
+0.0197739
+0.0186799
+0.017622
+0.0167677
+0.0159589
+0.01517
+0.014159
+0.0133482
+0.0126026
+0.0119819
+0.0115731
+0.01139
+0.011023
+0.0104451
+0.0101159
+0.00991136
+0.00992397
+0.0102227
+0.0107779
+0.0116008
+0.0125408
+0.0136866
+0.0150657
+0.01662
+0.018305
+0.0200618
+0.0218935
+0.0237861
+0.025726
+0.0277033
+0.0271081
+0.0256848
+0.0243607
+0.0231408
+0.0213492
+0.0193932
+0.0174885
+0.015657
+0.0138845
+0.0121882
+0.01067
+0.00942037
+0.00855268
+0.00813993
+0.00825707
+0.0088335
+0.00981731
+0.0107437
+0.011939
+0.0133431
+0.0148749
+0.0164348
+0.0180415
+0.0196994
+0.0214223
+0.0226986
+0.0240542
+0.0254702
+0.0269856
+0.0285328
+0.0301377
+0.0318061
+0.0335346
+0.0352929
+0.0370347
+0.0388043
+0.0405186
+0.0422768
+0.0439983
+0.0457506
+0.060827
+0.0592392
+0.0576622
+0.0560786
+0.0544928
+0.0529501
+0.0514339
+0.0498157
+0.0482052
+0.0466421
+0.0451147
+0.0435979
+0.0421403
+0.0406402
+0.039157
+0.0377349
+0.0362763
+0.0348118
+0.033424
+0.0320202
+0.030666
+0.0292493
+0.0278637
+0.0265868
+0.0252798
+0.0239527
+0.02269
+0.0214632
+0.0202335
+0.0189874
+0.0178631
+0.0168322
+0.0156816
+0.0147307
+0.0139341
+0.0131188
+0.012206
+0.011308
+0.0105278
+0.00988873
+0.00943884
+0.00921582
+0.00905174
+0.00841932
+0.0080844
+0.0080046
+0.00821101
+0.00857996
+0.00925925
+0.010181
+0.0112404
+0.012506
+0.0140019
+0.0156621
+0.0174336
+0.0192662
+0.0211669
+0.023119
+0.0251105
+0.0271328
+0.0261084
+0.0246196
+0.0232373
+0.0219487
+0.0204766
+0.0184458
+0.0164562
+0.0145087
+0.0126229
+0.0108295
+0.00910625
+0.00760389
+0.00650481
+0.00597221
+0.00612018
+0.00684404
+0.00781093
+0.00888652
+0.0102599
+0.0117847
+0.0133579
+0.0149743
+0.0166346
+0.0183665
+0.0196536
+0.0209818
+0.0223846
+0.0238947
+0.0254392
+0.0270487
+0.0287294
+0.0304749
+0.0322185
+0.0339767
+0.0357217
+0.0374489
+0.0392046
+0.0409277
+0.0426936
+0.044494
+0.0593676
+0.0577396
+0.05615
+0.0545733
+0.0529909
+0.0514032
+0.0498612
+0.0483446
+0.046729
+0.0451148
+0.0435509
+0.0420262
+0.0405122
+0.0390612
+0.0375519
+0.0360748
+0.0346581
+0.0331866
+0.0317293
+0.0303587
+0.0289378
+0.027585
+0.0261632
+0.0247988
+0.0235594
+0.0222036
+0.020901
+0.019655
+0.0184131
+0.0171719
+0.0159688
+0.0148818
+0.0138163
+0.0127311
+0.0118867
+0.0110873
+0.0103319
+0.00929284
+0.00850582
+0.00782035
+0.00731967
+0.00705153
+0.0070754
+0.00641583
+0.00612853
+0.0061745
+0.00657493
+0.00717119
+0.00800416
+0.00907347
+0.010248
+0.0116221
+0.0132184
+0.0149657
+0.0167895
+0.0186853
+0.0206396
+0.0226372
+0.0246677
+0.0267234
+0.0252398
+0.023702
+0.0222621
+0.0209128
+0.0197136
+0.0177017
+0.0156176
+0.013567
+0.011568
+0.00962943
+0.00779439
+0.00604097
+0.00458113
+0.00383073
+0.00402537
+0.00500943
+0.00588195
+0.00718491
+0.00869998
+0.0102912
+0.0119112
+0.0135848
+0.0153276
+0.0166281
+0.0179174
+0.019303
+0.020806
+0.0223468
+0.023962
+0.0256579
+0.0274239
+0.0291491
+0.0309267
+0.032642
+0.0343843
+0.0361251
+0.0378615
+0.0396429
+0.041455
+0.0432759
+0.0579542
+0.0562854
+0.0546535
+0.0530618
+0.0514854
+0.0499045
+0.0483147
+0.0467734
+0.0452565
+0.043644
+0.0420255
+0.0404608
+0.0389392
+0.0374286
+0.0359756
+0.0344653
+0.0329955
+0.0315853
+0.0300981
+0.0286501
+0.0272761
+0.025859
+0.0244984
+0.0230804
+0.0217433
+0.0204966
+0.0191273
+0.0178472
+0.0166323
+0.0153796
+0.0141262
+0.0129875
+0.0119601
+0.0108008
+0.00986172
+0.00911166
+0.00829369
+0.00735151
+0.00651248
+0.00576749
+0.00519587
+0.00491019
+0.00494771
+0.00448395
+0.00425706
+0.0045275
+0.00516355
+0.00611643
+0.007158
+0.00831867
+0.00965527
+0.0110893
+0.0127318
+0.0145136
+0.0163799
+0.0183182
+0.0203078
+0.0223351
+0.0243907
+0.0260933
+0.0245182
+0.0229574
+0.0214668
+0.0200635
+0.0188102
+0.0172061
+0.0150535
+0.0129137
+0.0107944
+0.00871042
+0.00669495
+0.00478898
+0.00303525
+0.00176984
+0.00208576
+0.00300719
+0.00413469
+0.0056298
+0.00723115
+0.00886046
+0.0105631
+0.0123175
+0.0136353
+0.0148669
+0.0162276
+0.0177206
+0.0192563
+0.0208788
+0.0225936
+0.02435
+0.0260866
+0.027867
+0.0295661
+0.0313263
+0.0330489
+0.034801
+0.0365974
+0.0384176
+0.0402485
+0.0421137
+0.0565838
+0.0548802
+0.0532051
+0.0515688
+0.0499749
+0.0483989
+0.0468196
+0.0452274
+0.0436872
+0.0421698
+0.040561
+0.0389375
+0.037372
+0.0358542
+0.0343476
+0.0328901
+0.031381
+0.0299181
+0.0285171
+0.0270112
+0.0255756
+0.0241842
+0.0227855
+0.0214151
+0.0200023
+0.0187018
+0.017411
+0.0160594
+0.0147919
+0.0135695
+0.0123637
+0.0111009
+0.00999611
+0.00897364
+0.00784991
+0.00703011
+0.00623171
+0.00552851
+0.00449651
+0.00373859
+0.00315417
+0.0028216
+0.00288487
+0.00265338
+0.00255333
+0.00297441
+0.00406627
+0.00546383
+0.00675541
+0.00807516
+0.00944654
+0.0109081
+0.0125742
+0.0143756
+0.0162577
+0.018209
+0.0202094
+0.0222457
+0.0243089
+0.0255844
+0.02396
+0.0223536
+0.0208291
+0.0194205
+0.0181059
+0.0169318
+0.0147954
+0.012612
+0.0104315
+0.00825644
+0.00609261
+0.00395844
+0.00195365
+0.000475603
+0.000448809
+0.00119634
+0.00262
+0.00422205
+0.0058597
+0.00759927
+0.00934017
+0.0106705
+0.0118407
+0.0131629
+0.0146405
+0.0161683
+0.0178006
+0.01954
+0.0212733
+0.0230335
+0.0247795
+0.0264954
+0.0282631
+0.0299773
+0.0317477
+0.0335583
+0.0353814
+0.0372327
+0.0391191
+0.0410357
+0.0551961
+0.053506
+0.051809
+0.050127
+0.0484858
+0.0468895
+0.0453139
+0.0437366
+0.0421418
+0.0406027
+0.0390849
+0.0374805
+0.0358514
+0.0342849
+0.0327716
+0.03127
+0.0298069
+0.0282997
+0.0268391
+0.025429
+0.0239267
+0.0225075
+0.0210942
+0.0197197
+0.0183367
+0.0169315
+0.0156684
+0.0143298
+0.0130043
+0.0117591
+0.0105186
+0.00929149
+0.00810605
+0.00708183
+0.00594919
+0.00503486
+0.00429519
+0.0034917
+0.00263307
+0.00184528
+0.00126464
+0.000863316
+0.000967015
+0.00096704
+0.000950922
+0.00179111
+0.00335878
+0.00518117
+0.006979
+0.00831447
+0.00970196
+0.0111623
+0.0127954
+0.0145694
+0.0164294
+0.0183624
+0.0203478
+0.0223715
+0.024424
+0.0251875
+0.0235522
+0.0219353
+0.0203796
+0.0189377
+0.0176384
+0.0164318
+0.0148594
+0.0126869
+0.010522
+0.00837046
+0.00624625
+0.0041461
+0.00221579
+0.000761043
+-0.000248172
+2.80948e-05
+0.00144566
+0.00301879
+0.0046874
+0.00642222
+0.00776224
+0.00885543
+0.0101186
+0.011568
+0.0130843
+0.0147309
+0.016503
+0.0182039
+0.0199943
+0.0216949
+0.023432
+0.0251827
+0.0269118
+0.0287019
+0.0305244
+0.032357
+0.0342316
+0.0361419
+0.0380823
+0.0400013
+0.0538393
+0.0521268
+0.0504307
+0.0487411
+0.0470516
+0.0454049
+0.0438058
+0.0422309
+0.0406558
+0.0390582
+0.0375204
+0.0360023
+0.0344031
+0.0327675
+0.0312
+0.0296923
+0.0281929
+0.026727
+0.0252226
+0.0237651
+0.0223436
+0.0208461
+0.0194489
+0.018007
+0.0166659
+0.0152663
+0.0138729
+0.0126157
+0.0112565
+0.00996314
+0.00876755
+0.00749147
+0.00624485
+0.00512385
+0.00407643
+0.0030243
+0.00229756
+0.00148601
+0.000799559
+0.000140087
+-0.000238
+-0.00062644
+-0.000697222
+-0.000726312
+-0.000376117
+0.00111598
+0.00296675
+0.00488641
+0.00692509
+0.00898647
+0.0102953
+0.0117353
+0.0133428
+0.0150824
+0.0168859
+0.018772
+0.0207181
+0.0227089
+0.0247334
+0.0249667
+0.0233217
+0.021722
+0.0201595
+0.0187006
+0.0173848
+0.0162147
+0.0150884
+0.0131113
+0.0110109
+0.00895386
+0.00697868
+0.00514665
+0.00356143
+0.00225483
+0.00094512
+0.000200938
+0.000810227
+0.00220254
+0.00371959
+0.00492079
+0.00597372
+0.00709774
+0.00850135
+0.0100081
+0.0116761
+0.0134242
+0.0151461
+0.0169505
+0.0186149
+0.020379
+0.0221036
+0.0238547
+0.0256628
+0.0274893
+0.0293479
+0.0312495
+0.0331868
+0.0351121
+0.0370224
+0.0389509
+0.0523469
+0.0507524
+0.0490577
+0.0473584
+0.0456774
+0.0439793
+0.0423264
+0.0407244
+0.0391502
+0.037578
+0.035977
+0.034441
+0.0329227
+0.0313298
+0.0296865
+0.028118
+0.0266132
+0.0251196
+0.023652
+0.0221513
+0.0206983
+0.0192623
+0.0177717
+0.0163838
+0.0149243
+0.0136186
+0.0121891
+0.0108367
+0.0095912
+0.0081764
+0.00689512
+0.0056884
+0.00450705
+0.00326713
+0.00219399
+0.00115843
+0.000390974
+-0.000145264
+-0.000495043
+-0.000623921
+-0.000871517
+-0.00178949
+-0.00180548
+-0.00222649
+-0.00186424
+5.49831e-05
+0.0022029
+0.00435643
+0.00653121
+0.00871396
+0.0108999
+0.0126071
+0.0141162
+0.0157773
+0.0175314
+0.0193746
+0.0212838
+0.0232427
+0.0252299
+0.024281
+0.0228166
+0.0214762
+0.0201515
+0.018717
+0.0174042
+0.0162796
+0.0151103
+0.0138255
+0.0118523
+0.00996122
+0.00818808
+0.00660236
+0.00524045
+0.00381571
+0.0023943
+0.00134979
+0.000773294
+0.00164364
+0.00238892
+0.00314889
+0.00418866
+0.00546547
+0.00695004
+0.0086522
+0.0103454
+0.0121089
+0.013855
+0.015542
+0.017325
+0.0190306
+0.0208084
+0.022635
+0.02447
+0.0263594
+0.0282923
+0.030226
+0.0321376
+0.0340609
+0.0360149
+0.0379864
+0.0508953
+0.049265
+0.0476669
+0.0459924
+0.0442897
+0.0426175
+0.0409109
+0.0392511
+0.0376456
+0.0360726
+0.0345017
+0.0328969
+0.0313632
+0.0298468
+0.028262
+0.0266096
+0.0250399
+0.0235375
+0.022052
+0.0205838
+0.019086
+0.0176424
+0.0161875
+0.0147071
+0.0133068
+0.0118497
+0.0105398
+0.0091186
+0.00781875
+0.00649565
+0.00510801
+0.00387381
+0.00264165
+0.00151163
+0.000372363
+-0.00036667
+-0.000851588
+-0.00131739
+-0.00112011
+-0.000922722
+-0.00176124
+-0.00205537
+-0.00202521
+-0.00204974
+-0.00126081
+0.000421883
+0.00236385
+0.00442071
+0.00652246
+0.00866706
+0.0107753
+0.012892
+0.0150215
+0.0167217
+0.0183859
+0.0201511
+0.021993
+0.0238938
+0.0251395
+0.023525
+0.0220104
+0.0206177
+0.0193658
+0.01826
+0.0173614
+0.0165731
+0.0154328
+0.0144349
+0.0129915
+0.0112584
+0.00967961
+0.00829709
+0.00686515
+0.00527534
+0.00385232
+0.00244609
+0.00140693
+0.000870024
+0.000692042
+0.00141606
+0.00255479
+0.00394565
+0.00565244
+0.00728308
+0.00911154
+0.0107609
+0.0124817
+0.0142473
+0.0159674
+0.0177701
+0.0196025
+0.0214732
+0.0233995
+0.0253447
+0.0272578
+0.0291739
+0.0311262
+0.0331083
+0.0349937
+0.0368982
+0.0494968
+0.0478202
+0.0461852
+0.0445832
+0.0429235
+0.0412254
+0.0395449
+0.0378473
+0.0361796
+0.0345703
+0.0329987
+0.0314274
+0.0298181
+0.0282871
+0.0267761
+0.0251976
+0.0235382
+0.0219675
+0.0204685
+0.0189928
+0.0175263
+0.0160221
+0.0146044
+0.0131235
+0.0116567
+0.0102149
+0.00879151
+0.00747248
+0.00607624
+0.00477295
+0.00340013
+0.00204705
+0.000864412
+-0.000323885
+-0.00116693
+-0.00168813
+-0.000899774
+4.51653e-05
+0.000856362
+-0.000198475
+-0.000434827
+6.73001e-05
+-0.000497451
+-0.000679675
+-0.00086562
+0.000569037
+0.00222448
+0.0041572
+0.00621175
+0.00833592
+0.0104424
+0.0125653
+0.0147082
+0.0168634
+0.0190216
+0.0211271
+0.0228906
+0.0247225
+0.024606
+0.022954
+0.021399
+0.0199637
+0.018668
+0.0175182
+0.0165794
+0.0158892
+0.0154808
+0.0150629
+0.0140942
+0.012767
+0.0113494
+0.00963302
+0.0077746
+0.00598515
+0.00425001
+0.00273147
+0.00148886
+0.000258578
+-0.000457252
+-5.91438e-05
+0.00109274
+0.00258332
+0.00427214
+0.00605308
+0.00766999
+0.00944593
+0.011174
+0.0129201
+0.0147555
+0.0165942
+0.0185098
+0.0204651
+0.022384
+0.0242914
+0.0262412
+0.0282263
+0.0301101
+0.0320128
+0.03394
+0.0358465
+0.0481069
+0.0464296
+0.0447482
+0.043108
+0.0415017
+0.0398514
+0.0381645
+0.0364767
+0.0347899
+0.0331131
+0.031498
+0.0299299
+0.0283583
+0.0267438
+0.0252164
+0.0237125
+0.0221323
+0.0204748
+0.0189035
+0.01741
+0.0159481
+0.0144859
+0.0129746
+0.0115981
+0.0100804
+0.00863737
+0.00712822
+0.00577604
+0.00441505
+0.00309039
+0.00175066
+0.000306281
+-0.000999765
+-0.00206443
+-0.00114822
+-6.76348e-05
+0.000959624
+0.00185326
+0.000823388
+0.000520598
+0.00103436
+0.00184197
+0.000832539
+0.000901345
+0.000149448
+0.00107576
+0.00252054
+0.00426684
+0.00621686
+0.00825922
+0.0103623
+0.0124823
+0.0145792
+0.0166528
+0.0187531
+0.020872
+0.0230043
+0.0251467
+0.0242593
+0.022582
+0.0209994
+0.0195347
+0.0182086
+0.0170278
+0.0160604
+0.0153468
+0.0149235
+0.0148152
+0.014971
+0.0135462
+0.0115999
+0.00969017
+0.00789026
+0.0062231
+0.00475706
+0.00337093
+0.00194972
+0.000596034
+-0.000575449
+-0.00146757
+-0.000406066
+0.00128294
+0.00298338
+0.0045888
+0.00642573
+0.00810201
+0.00988692
+0.0117316
+0.0136263
+0.0155806
+0.0175202
+0.019417
+0.0213624
+0.0233512
+0.0252323
+0.0271303
+0.0290526
+0.0309745
+0.0328656
+0.0347919
+0.046738
+0.0450403
+0.0433669
+0.04168
+0.0400331
+0.0384228
+0.0367836
+0.0351051
+0.033414
+0.0317402
+0.0300511
+0.0284272
+0.0268677
+0.0252962
+0.0236756
+0.0221533
+0.0206591
+0.019068
+0.0174237
+0.0158527
+0.0143683
+0.0129289
+0.0114754
+0.00995818
+0.00859595
+0.00707663
+0.00559251
+0.00405892
+0.00282181
+0.00145983
+0.00026569
+-0.00114696
+-0.00151601
+-0.000343103
+0.000734724
+0.00178273
+0.00276585
+0.00222686
+0.00185371
+0.002182
+0.00295284
+0.00263905
+0.0024648
+0.00191926
+0.00126704
+0.00160863
+0.00295256
+0.00456796
+0.00639602
+0.00832113
+0.0103135
+0.0123314
+0.0143955
+0.0164922
+0.0186107
+0.0207411
+0.0228571
+0.024986
+0.0240103
+0.0224173
+0.0208238
+0.0193458
+0.017993
+0.016797
+0.0158155
+0.0150904
+0.0146597
+0.0145479
+0.014704
+0.0137061
+0.0119126
+0.0101147
+0.00842839
+0.00697898
+0.00574614
+0.00430627
+0.00287516
+0.00162531
+0.000447964
+-0.00084109
+-0.00173915
+-0.000102389
+0.00156823
+0.00334611
+0.00506191
+0.00690715
+0.00875969
+0.0107089
+0.0126505
+0.0145588
+0.0164952
+0.0184755
+0.0203645
+0.0222473
+0.0241654
+0.0260951
+0.0279892
+0.0299086
+0.031863
+0.0338463
+0.0453654
+0.0436851
+0.0419783
+0.0403066
+0.0386167
+0.0369601
+0.0353473
+0.0337215
+0.032053
+0.0303585
+0.0286938
+0.0269935
+0.0253632
+0.0238149
+0.0222442
+0.0206164
+0.0191015
+0.0176205
+0.0160161
+0.0143927
+0.0128244
+0.0113572
+0.00994634
+0.00849721
+0.00698989
+0.00559885
+0.00405819
+0.00258444
+0.00105601
+-9.68742e-06
+-0.001187
+-0.00109729
+0.000231143
+0.00151231
+0.0026428
+0.00371122
+0.0034872
+0.00306862
+0.00332694
+0.00391538
+0.00442092
+0.00353857
+0.00362861
+0.00304684
+0.00233523
+0.00242327
+0.00344555
+0.00490959
+0.00667883
+0.00851078
+0.0104547
+0.0124807
+0.0145374
+0.0165794
+0.0186483
+0.0207171
+0.0228088
+0.0249174
+0.0235813
+0.0219887
+0.0205068
+0.0191612
+0.0179825
+0.0168088
+0.015828
+0.0151035
+0.0146732
+0.0145616
+0.0147175
+0.0138799
+0.0122969
+0.0107349
+0.0093372
+0.00809009
+0.00689032
+0.00550067
+0.0041467
+0.00313621
+0.00201587
+0.000493005
+-0.00109456
+-0.0013893
+0.000361307
+0.00209584
+0.00396045
+0.00588196
+0.00779464
+0.00971674
+0.0116545
+0.0136215
+0.015516
+0.0173717
+0.0192819
+0.0212123
+0.023122
+0.0250312
+0.0269832
+0.0289693
+0.0309664
+0.0329079
+0.0440245
+0.04231
+0.0406316
+0.0389221
+0.0372462
+0.0355587
+0.0338916
+0.0322761
+0.0306665
+0.0290108
+0.0273126
+0.0256536
+0.0239464
+0.0223085
+0.0207721
+0.0192043
+0.0175709
+0.0160675
+0.0145948
+0.0129862
+0.0113979
+0.00983962
+0.00840953
+0.00700333
+0.00564002
+0.00413128
+0.00270578
+0.00115399
+-1.38569e-05
+-0.000894499
+-0.000492508
+0.000510516
+0.001849
+0.00325967
+0.00448444
+0.00473679
+0.00431474
+0.00427414
+0.00481841
+0.00561996
+0.00522035
+0.00470392
+0.00485027
+0.00410107
+0.00333034
+0.0033841
+0.0041728
+0.00547687
+0.00710873
+0.0089145
+0.0107839
+0.0126499
+0.0145996
+0.0165957
+0.0186357
+0.0206878
+0.0227559
+0.0248451
+0.0233507
+0.0217413
+0.0202412
+0.0188767
+0.0176777
+0.0166317
+0.0158169
+0.0152752
+0.0150099
+0.0149008
+0.0150532
+0.0141747
+0.0126716
+0.0113721
+0.0101465
+0.00915493
+0.0081611
+0.00676632
+0.00550413
+0.00430425
+0.00349018
+0.0019863
+0.000477518
+-0.00128211
+-0.000487432
+0.00120569
+0.00305523
+0.00492618
+0.00689007
+0.00881683
+0.0106857
+0.0125142
+0.0144086
+0.016339
+0.0182647
+0.0201642
+0.0221117
+0.0241008
+0.0260958
+0.0280323
+0.0300038
+0.0320038
+0.0427164
+0.0409851
+0.0392601
+0.0375795
+0.035873
+0.0341927
+0.0325057
+0.030829
+0.0292105
+0.0276212
+0.0259581
+0.0242765
+0.0226135
+0.0209142
+0.0192676
+0.0177373
+0.0161856
+0.0145475
+0.0130636
+0.0116074
+0.0099981
+0.00847765
+0.00694276
+0.00561225
+0.00426965
+0.00296567
+0.00163091
+0.000359218
+-0.000354008
+-4.4903e-05
+0.000992743
+0.00223098
+0.0035162
+0.00493261
+0.00597495
+0.00543554
+0.00548372
+0.0056901
+0.00629783
+0.00703864
+0.0062552
+0.00605425
+0.00636513
+0.00518406
+0.00453359
+0.00452937
+0.00503834
+0.00614251
+0.00754267
+0.00914982
+0.010929
+0.0127732
+0.014698
+0.0166712
+0.0186682
+0.0207044
+0.0227431
+0.0247868
+0.0233029
+0.0216904
+0.0201872
+0.0188193
+0.0176059
+0.0165508
+0.0157317
+0.015187
+0.0149466
+0.0150252
+0.0154162
+0.0147149
+0.0132834
+0.0120625
+0.0111139
+0.0102423
+0.00942547
+0.00817211
+0.00681664
+0.00541443
+0.00441961
+0.00356731
+0.00171825
+-5.27607e-05
+-0.00126066
+0.000490406
+0.00215678
+0.00398155
+0.00586845
+0.00770874
+0.00956109
+0.0114871
+0.0133937
+0.0153172
+0.0172555
+0.0192475
+0.021238
+0.0231663
+0.0251376
+0.0271426
+0.0291743
+0.0311637
+0.0414307
+0.0396789
+0.0379499
+0.0362184
+0.0345302
+0.0328331
+0.0311478
+0.0294616
+0.0277744
+0.0261527
+0.0245857
+0.0229153
+0.0212403
+0.0195883
+0.0179027
+0.0162485
+0.0147275
+0.0132038
+0.0115638
+0.0100983
+0.00866648
+0.0070837
+0.00568974
+0.00422696
+0.00307209
+0.00195413
+0.000764049
+9.82976e-05
+0.000331485
+0.00135746
+0.00258392
+0.00387953
+0.00526121
+0.00658888
+0.0067437
+0.00647573
+0.00666097
+0.00724887
+0.00790133
+0.00802005
+0.00754096
+0.00739552
+0.00741999
+0.0063499
+0.0057233
+0.00565141
+0.00607055
+0.0069396
+0.00822118
+0.00971412
+0.0113609
+0.0131054
+0.0148905
+0.0167624
+0.0186824
+0.0206563
+0.0226701
+0.0246884
+0.0234508
+0.0218492
+0.0203576
+0.0190021
+0.0178011
+0.0167583
+0.0159499
+0.0154129
+0.0151761
+0.0152535
+0.0156387
+0.0152478
+0.0139647
+0.0127955
+0.0119108
+0.0113492
+0.0107895
+0.00946316
+0.00791915
+0.00659751
+0.0053941
+0.00454196
+0.00298163
+0.00111625
+-0.000683074
+-0.000614016
+0.00119985
+0.00297692
+0.00481376
+0.00669622
+0.00855442
+0.010518
+0.0124327
+0.0144235
+0.0164046
+0.0183177
+0.020287
+0.0222977
+0.0243395
+0.0262998
+0.0282417
+0.0302178
+0.0402233
+0.0384164
+0.0366514
+0.0349196
+0.0331871
+0.0314905
+0.0298005
+0.0281091
+0.0264284
+0.0247306
+0.0231055
+0.021551
+0.0198896
+0.0182248
+0.0165824
+0.0149153
+0.0132641
+0.0117529
+0.0102483
+0.00864429
+0.00722191
+0.00583791
+0.00435088
+0.00313703
+0.00194585
+0.00107188
+0.000473938
+0.000683684
+0.0016541
+0.00285317
+0.00414976
+0.00557087
+0.00691462
+0.00809117
+0.0078285
+0.00769543
+0.00805308
+0.00870205
+0.00957177
+0.00896292
+0.00866633
+0.00882857
+0.00854091
+0.00743822
+0.00679226
+0.0066257
+0.00689986
+0.0075775
+0.00871349
+0.0101353
+0.0116077
+0.0132453
+0.0150245
+0.0168563
+0.0187481
+0.020677
+0.0226233
+0.0245639
+0.0237986
+0.0222216
+0.0207563
+0.019428
+0.0182589
+0.0172438
+0.0164593
+0.0159395
+0.0157106
+0.0157854
+0.016158
+0.0158501
+0.0147239
+0.0137579
+0.0129315
+0.0124013
+0.0117949
+0.0107246
+0.00920704
+0.00780205
+0.00655132
+0.00546692
+0.00406423
+0.00222557
+0.000560398
+-0.00105791
+0.000173999
+0.00208301
+0.00384461
+0.00572511
+0.00770577
+0.00965866
+0.0116257
+0.0135051
+0.0154667
+0.0174827
+0.0195364
+0.0214516
+0.0233857
+0.0253616
+0.0273703
+0.0294049
+0.0390094
+0.0372241
+0.0354166
+0.0336369
+0.0319005
+0.0301694
+0.0284633
+0.0267753
+0.025085
+0.0233989
+0.0217021
+0.020073
+0.0185273
+0.0168702
+0.0152425
+0.0135928
+0.0119844
+0.0103403
+0.00884057
+0.007359
+0.0058648
+0.00455141
+0.00320632
+0.00207853
+0.00122905
+0.000707869
+0.00119711
+0.00198091
+0.00312024
+0.00447284
+0.0057815
+0.00714104
+0.00861571
+0.00900142
+0.00890416
+0.00910448
+0.0094674
+0.0102365
+0.0105518
+0.0100334
+0.00984499
+0.010017
+0.00954708
+0.00848599
+0.00784409
+0.00765467
+0.00781867
+0.00838483
+0.00935003
+0.0105788
+0.0119718
+0.0135534
+0.0152372
+0.0170223
+0.0187694
+0.020575
+0.0224218
+0.0240822
+0.0241465
+0.0227951
+0.0213691
+0.0200814
+0.0189482
+0.0179849
+0.0172342
+0.0167385
+0.0165207
+0.0165918
+0.0169466
+0.0163624
+0.0153864
+0.0145344
+0.0138989
+0.0135698
+0.0129241
+0.0120299
+0.0105117
+0.00894202
+0.00748824
+0.00637072
+0.00520501
+0.00346417
+0.00180938
+0.000152564
+-0.00078878
+0.00107143
+0.00300193
+0.00493362
+0.00693868
+0.00878808
+0.0107174
+0.0127265
+0.0146619
+0.0166329
+0.018552
+0.0205256
+0.0225394
+0.0245771
+0.0266255
+0.0286313
+0.0378557
+0.0360213
+0.0342289
+0.0324353
+0.030639
+0.0288973
+0.0271633
+0.0254513
+0.023766
+0.0220813
+0.0203899
+0.0186964
+0.0170626
+0.0155303
+0.0138815
+0.0123169
+0.0106654
+0.00913019
+0.00750095
+0.00607798
+0.00468644
+0.00343551
+0.00232904
+0.00139109
+0.0011094
+0.00136691
+0.00214776
+0.00343085
+0.0046733
+0.0060591
+0.00748542
+0.00879554
+0.0101963
+0.0101784
+0.0101467
+0.0105263
+0.0110901
+0.0117612
+0.0115652
+0.0112469
+0.0111369
+0.0114168
+0.0104064
+0.00939692
+0.00877423
+0.00855396
+0.00880193
+0.00928738
+0.0100591
+0.0110829
+0.0123034
+0.013739
+0.0153356
+0.0169199
+0.0184883
+0.0201251
+0.0217438
+0.0234363
+0.0243087
+0.0229858
+0.021803
+0.0207674
+0.0198214
+0.0189114
+0.0182205
+0.0177553
+0.0175501
+0.0176171
+0.0179384
+0.0169925
+0.0160867
+0.01542
+0.0148758
+0.014634
+0.0141098
+0.0132236
+0.0115103
+0.00994817
+0.00853761
+0.00731802
+0.00635794
+0.00463446
+0.0028977
+0.00121587
+-0.000613197
+0.000136318
+0.00207688
+0.00403697
+0.00604976
+0.00798204
+0.00987834
+0.0117999
+0.0137621
+0.0157284
+0.0177356
+0.019731
+0.0217552
+0.0237933
+0.0258101
+0.0278341
+0.0367812
+0.034906
+0.0330535
+0.0312444
+0.0294638
+0.0276633
+0.0259017
+0.0241681
+0.0224625
+0.0207828
+0.0191071
+0.0174123
+0.0157267
+0.0140892
+0.0125824
+0.0109538
+0.00943686
+0.00785374
+0.00640368
+0.00496063
+0.00368413
+0.00268086
+0.00177488
+0.00129227
+0.00144012
+0.00230029
+0.00345352
+0.00467861
+0.00617196
+0.00762424
+0.00908851
+0.0105166
+0.0110482
+0.0111722
+0.0115452
+0.0119266
+0.0126182
+0.0128349
+0.0123995
+0.012268
+0.012414
+0.0126451
+0.0113881
+0.0103962
+0.00978543
+0.00948306
+0.00957881
+0.0100598
+0.0106345
+0.0115266
+0.0126896
+0.0138471
+0.0151019
+0.016474
+0.0178991
+0.0194512
+0.0210118
+0.0225036
+0.0240803
+0.0233624
+0.0221997
+0.0211835
+0.0203529
+0.0197317
+0.0193401
+0.0189395
+0.0187472
+0.0181808
+0.0176342
+0.0170784
+0.0166786
+0.0161602
+0.0157291
+0.0155683
+0.0153334
+0.0142263
+0.0125849
+0.0110505
+0.00953977
+0.00817873
+0.00714598
+0.00572619
+0.00397555
+0.00219138
+0.000328258
+-0.000846331
+0.00111212
+0.00305733
+0.0049888
+0.00691151
+0.00886775
+0.0108808
+0.0128401
+0.0148455
+0.0168812
+0.0189189
+0.0209215
+0.0229584
+0.0250213
+0.0270653
+0.0357211
+0.0338447
+0.0319741
+0.030112
+0.0282844
+0.0265067
+0.0247176
+0.0229297
+0.0212026
+0.019508
+0.0178389
+0.0161635
+0.0144853
+0.0128179
+0.0111835
+0.00972833
+0.00814479
+0.00672315
+0.00526022
+0.00398437
+0.00298621
+0.00206499
+0.00169318
+0.00186338
+0.00248402
+0.00355006
+0.00485075
+0.00619199
+0.00756608
+0.00910381
+0.010658
+0.0121459
+0.0121411
+0.0122539
+0.0126899
+0.0134241
+0.0141074
+0.0136046
+0.0132824
+0.0133006
+0.0135086
+0.0135445
+0.0122891
+0.0112843
+0.0105559
+0.0101599
+0.00995319
+0.010126
+0.010731
+0.0115532
+0.0123017
+0.0132845
+0.0145308
+0.0159341
+0.0172144
+0.0185119
+0.0199501
+0.0212733
+0.0223681
+0.0236159
+0.0227373
+0.0214884
+0.0203988
+0.0194898
+0.0187498
+0.0182443
+0.0177872
+0.0171379
+0.0167181
+0.0165287
+0.0163291
+0.0158846
+0.0157153
+0.0158498
+0.0162808
+0.0153467
+0.0136837
+0.0120203
+0.0105263
+0.00914036
+0.00809013
+0.00665502
+0.00483051
+0.00308473
+0.00129448
+-0.000577514
+0.000102394
+0.0020186
+0.00397346
+0.00602563
+0.00794768
+0.00996414
+0.0120271
+0.0140236
+0.0160389
+0.018095
+0.0201493
+0.0221946
+0.0242649
+0.0263369
+0.0346
+0.032776
+0.0309396
+0.0290536
+0.027195
+0.0253483
+0.0235601
+0.0217881
+0.0199961
+0.0182717
+0.016593
+0.0149445
+0.0132813
+0.0116468
+0.00999757
+0.0084164
+0.00701657
+0.00559826
+0.0043805
+0.00323139
+0.0023735
+0.00205933
+0.00223044
+0.00276948
+0.00366
+0.00487205
+0.00625175
+0.0077296
+0.00912074
+0.0105509
+0.0121059
+0.013224
+0.0132498
+0.0135371
+0.0139709
+0.0146724
+0.0147551
+0.0143495
+0.014088
+0.0141211
+0.0144668
+0.0140396
+0.0127661
+0.0117316
+0.0109577
+0.0105236
+0.010373
+0.010552
+0.010776
+0.0112817
+0.0119837
+0.0129894
+0.0139544
+0.014945
+0.0161427
+0.0175334
+0.0185592
+0.0195608
+0.0207462
+0.0220792
+0.0213973
+0.0200875
+0.0189174
+0.0179285
+0.0171212
+0.0165661
+0.016289
+0.0159915
+0.0158412
+0.0156869
+0.0156488
+0.0151636
+0.0149861
+0.0151272
+0.0155781
+0.0163088
+0.0146928
+0.0130356
+0.011535
+0.010274
+0.00912078
+0.00750231
+0.00565397
+0.00382909
+0.00224478
+0.000366035
+-0.000918149
+0.001066
+0.00306096
+0.00511355
+0.00718294
+0.00913179
+0.0111702
+0.0132454
+0.0152726
+0.0173391
+0.0194218
+0.0214476
+0.023481
+0.0255405
+0.0335251
+0.0316764
+0.0298511
+0.0280318
+0.0261668
+0.0243053
+0.0224468
+0.0206397
+0.0188998
+0.0171193
+0.0153858
+0.0137394
+0.0121203
+0.0104814
+0.00893308
+0.0073515
+0.00590251
+0.00474615
+0.003683
+0.00274368
+0.00234892
+0.0022963
+0.00282268
+0.00379856
+0.00502929
+0.00627881
+0.0076894
+0.00915713
+0.0106502
+0.0121148
+0.0135757
+0.0144308
+0.0144509
+0.014777
+0.0153714
+0.0160711
+0.0155464
+0.0151852
+0.0150315
+0.0150786
+0.0154238
+0.0144923
+0.0133291
+0.0123419
+0.0116088
+0.0111683
+0.0109199
+0.010737
+0.0109398
+0.0111375
+0.0115768
+0.0120851
+0.0128818
+0.0139485
+0.0151664
+0.0159853
+0.0168557
+0.0179526
+0.0192328
+0.0206414
+0.0201881
+0.018807
+0.0175511
+0.0164917
+0.0156216
+0.0149552
+0.0145712
+0.0142972
+0.0142722
+0.0144917
+0.0149222
+0.0147234
+0.0145406
+0.0146859
+0.01515
+0.0159003
+0.0157416
+0.0141891
+0.0126938
+0.0112447
+0.0100674
+0.00838348
+0.0064458
+0.00466274
+0.00312149
+0.00121151
+-0.000791235
+0.000204579
+0.00221897
+0.00425162
+0.00631842
+0.00835977
+0.0104156
+0.0125002
+0.014553
+0.0165637
+0.018615
+0.0206949
+0.0227944
+0.0249008
+0.0324704
+0.0306203
+0.0287841
+0.0269613
+0.0251391
+0.0233075
+0.0214508
+0.0196054
+0.0177795
+0.0160451
+0.0143118
+0.012601
+0.0110186
+0.0094507
+0.00790083
+0.00647689
+0.0051436
+0.00410474
+0.00326084
+0.00279313
+0.00254312
+0.00292438
+0.00381928
+0.00495649
+0.00625248
+0.00773892
+0.00914923
+0.0106351
+0.0121256
+0.0136493
+0.0151415
+0.0158466
+0.0158649
+0.0161636
+0.0167088
+0.017194
+0.016583
+0.0161959
+0.0160801
+0.0162234
+0.0164061
+0.0151858
+0.0141745
+0.0132896
+0.0125301
+0.0118073
+0.0114104
+0.0110718
+0.010754
+0.0106439
+0.0107601
+0.0112296
+0.0120413
+0.0129252
+0.0136313
+0.0143108
+0.0152768
+0.0164771
+0.0178239
+0.0188909
+0.0186971
+0.0176916
+0.0162996
+0.0150871
+0.0140533
+0.0133018
+0.0128307
+0.0126501
+0.0126214
+0.0129408
+0.0135558
+0.0141469
+0.0142201
+0.0145592
+0.0150272
+0.0157586
+0.0167189
+0.0152206
+0.0136883
+0.0122807
+0.011011
+0.00912135
+0.00727325
+0.00551636
+0.003928
+0.00202285
+-4.69399e-05
+-0.000608972
+0.0014473
+0.00350618
+0.00559336
+0.00771787
+0.00966103
+0.011692
+0.0137721
+0.0158742
+0.0179893
+0.0201206
+0.0221854
+0.0242488
+0.0314491
+0.0296163
+0.0277572
+0.0259282
+0.0241051
+0.0222887
+0.0204726
+0.0186562
+0.0168206
+0.015014
+0.0132798
+0.0116089
+0.00998456
+0.008491
+0.00711769
+0.00571857
+0.0046199
+0.00369776
+0.00317972
+0.00298697
+0.00319753
+0.00387655
+0.00498438
+0.00624951
+0.00762625
+0.00902515
+0.0105938
+0.0121175
+0.0136347
+0.0151461
+0.0166737
+0.0173199
+0.0174402
+0.017712
+0.0182109
+0.018296
+0.0177289
+0.017401
+0.0173115
+0.0174509
+0.0173014
+0.0161488
+0.0148315
+0.0136711
+0.0127836
+0.0121803
+0.0115782
+0.0108536
+0.0102449
+0.0100613
+0.0101979
+0.010427
+0.0108749
+0.0113246
+0.0118561
+0.0126314
+0.0136674
+0.0149372
+0.016372
+0.0168945
+0.0166776
+0.0164523
+0.0150704
+0.0137543
+0.0126337
+0.0117757
+0.0112485
+0.0111047
+0.0111581
+0.0115181
+0.012205
+0.0131949
+0.0137363
+0.0141854
+0.014854
+0.0158004
+0.0168437
+0.0162678
+0.0146409
+0.0131021
+0.0117366
+0.00995191
+0.00809529
+0.00597956
+0.00387236
+0.00181753
+-7.28767e-05
+-0.00134058
+0.000706388
+0.00274148
+0.00478237
+0.00685704
+0.00896284
+0.0110978
+0.0132498
+0.0152661
+0.0173226
+0.0194085
+0.0215153
+0.0236257
+0.0304534
+0.028601
+0.0267962
+0.0249505
+0.0231129
+0.0213014
+0.0194978
+0.017722
+0.0159176
+0.0141254
+0.0123649
+0.0106986
+0.00909448
+0.00764312
+0.00636099
+0.0051592
+0.00419731
+0.00366608
+0.00348306
+0.00365028
+0.00422949
+0.00508037
+0.00631626
+0.00764046
+0.00903609
+0.0104749
+0.0119238
+0.0135116
+0.015121
+0.0166703
+0.0181927
+0.0185067
+0.0189799
+0.0193744
+0.0198321
+0.0195169
+0.0189861
+0.0186935
+0.0186105
+0.0187843
+0.01785
+0.016377
+0.0150444
+0.0139017
+0.01303
+0.0124087
+0.0114809
+0.0105435
+0.00991573
+0.0096381
+0.00930108
+0.00910965
+0.00918008
+0.00956498
+0.0100847
+0.0109605
+0.0121171
+0.0135317
+0.0150993
+0.0149527
+0.0146533
+0.0142919
+0.0137726
+0.0124341
+0.0113279
+0.0104649
+0.00986543
+0.00940883
+0.00942268
+0.00982317
+0.0106203
+0.0117285
+0.0130362
+0.0136918
+0.0146488
+0.0157076
+0.016892
+0.0170987
+0.0154822
+0.0139939
+0.0123235
+0.010176
+0.00804853
+0.005967
+0.00387877
+0.00187964
+3.67874e-05
+-0.00147982
+-4.25526e-05
+0.00206399
+0.0041761
+0.00629579
+0.00835891
+0.0103982
+0.0124878
+0.0146071
+0.0166998
+0.018798
+0.0209151
+0.023046
+0.0294912
+0.0276606
+0.0258106
+0.0239999
+0.022209
+0.0203787
+0.018563
+0.0168092
+0.0150496
+0.0132974
+0.0115981
+0.00990876
+0.00837649
+0.00697811
+0.00578496
+0.00483487
+0.00413606
+0.00391807
+0.00403868
+0.00449427
+0.00529408
+0.00642313
+0.00763052
+0.00906112
+0.010483
+0.0119492
+0.0134317
+0.0148874
+0.0164953
+0.0181557
+0.0194085
+0.0197017
+0.0202276
+0.0209316
+0.0213306
+0.020794
+0.0203487
+0.020079
+0.0200018
+0.0198423
+0.0182675
+0.0168312
+0.0155443
+0.0144422
+0.0135604
+0.0123919
+0.0113668
+0.0102966
+0.00955167
+0.00881111
+0.00808305
+0.00765043
+0.0075574
+0.00790122
+0.00847443
+0.00947064
+0.0107881
+0.012191
+0.0136678
+0.0130858
+0.0125497
+0.0121424
+0.0120977
+0.0111919
+0.00998624
+0.00904169
+0.00830299
+0.00785742
+0.00787678
+0.00835173
+0.00923869
+0.0104388
+0.0118164
+0.0133204
+0.0143022
+0.015532
+0.0169494
+0.0180286
+0.0164171
+0.0143944
+0.0122612
+0.0101521
+0.00805459
+0.00597433
+0.0039419
+0.00197186
+0.00014701
+-0.0014586
+-0.000624709
+0.00143238
+0.00348569
+0.00558414
+0.00771303
+0.00977635
+0.0118853
+0.0140194
+0.0161681
+0.0183233
+0.0204419
+0.0225613
+0.0285127
+0.02671
+0.0249314
+0.0230798
+0.0212752
+0.0195052
+0.0177488
+0.0159534
+0.0142275
+0.0125691
+0.010886
+0.00927736
+0.00785228
+0.00652878
+0.00552018
+0.00470242
+0.0043747
+0.0043816
+0.00492102
+0.00550932
+0.00651178
+0.00769996
+0.00901646
+0.010406
+0.0119259
+0.0134237
+0.0149237
+0.0164154
+0.0178965
+0.0194982
+0.0205886
+0.0210273
+0.0215209
+0.0222175
+0.0221487
+0.0217019
+0.0214326
+0.0213529
+0.0214849
+0.0204066
+0.0189051
+0.017521
+0.0162887
+0.0152405
+0.0138953
+0.0126324
+0.0112895
+0.0102073
+0.00918216
+0.00793645
+0.00700063
+0.00629062
+0.00620073
+0.00643611
+0.00712813
+0.00814332
+0.00935305
+0.0108614
+0.0117715
+0.0113183
+0.0104818
+0.0100107
+0.00995649
+0.0100026
+0.00867804
+0.00745995
+0.0065964
+0.00627815
+0.00647071
+0.00720442
+0.00809766
+0.00931568
+0.0108127
+0.0124738
+0.0142612
+0.015518
+0.0169365
+0.0185063
+0.0166295
+0.0144917
+0.0123547
+0.0102186
+0.00809421
+0.00601174
+0.00401829
+0.00208036
+0.000279002
+-0.00138907
+-0.00133397
+0.000784827
+0.0028705
+0.00500048
+0.00715765
+0.00932351
+0.0114141
+0.013529
+0.0156647
+0.0177831
+0.0198713
+0.0219015
+0.0275895
+0.0257806
+0.0239982
+0.0222496
+0.0204398
+0.0186553
+0.0169198
+0.0152428
+0.0135333
+0.0118697
+0.0103149
+0.00882833
+0.00741298
+0.00631498
+0.00556435
+0.00488843
+0.00475786
+0.00508022
+0.0057625
+0.00670309
+0.0077939
+0.00902525
+0.0104185
+0.0118319
+0.0132908
+0.0148427
+0.0163984
+0.0179399
+0.0194334
+0.0209191
+0.0218117
+0.0223224
+0.0229379
+0.0235955
+0.02309
+0.0226617
+0.0224143
+0.0223796
+0.0225587
+0.0210546
+0.019653
+0.0183762
+0.0172316
+0.0157209
+0.0140742
+0.0125044
+0.011113
+0.00971446
+0.00837457
+0.00704838
+0.00588869
+0.00499182
+0.00451135
+0.00477709
+0.0056813
+0.00660976
+0.00791996
+0.00900673
+0.0097716
+0.00950064
+0.0084759
+0.00791134
+0.00784263
+0.00832197
+0.00733488
+0.00622955
+0.00516663
+0.00479797
+0.0051124
+0.00581617
+0.00689604
+0.00827107
+0.00991638
+0.0117173
+0.0135904
+0.0154823
+0.0171732
+0.0187231
+0.0168011
+0.0146861
+0.0125791
+0.0104423
+0.00831654
+0.00623595
+0.00422547
+0.00230605
+0.000512353
+-0.00101907
+-0.001874
+0.000263176
+0.00237421
+0.00449675
+0.00664653
+0.0087628
+0.0108649
+0.0129955
+0.0150478
+0.0170886
+0.0191477
+0.0211763
+0.0267093
+0.0248986
+0.0231221
+0.0213575
+0.01966
+0.0179094
+0.0161702
+0.0145027
+0.0129263
+0.0114126
+0.00989377
+0.00852303
+0.00731834
+0.00631345
+0.00565914
+0.00524744
+0.0053973
+0.00597195
+0.0067591
+0.00780893
+0.00899935
+0.0103304
+0.0117712
+0.0132025
+0.014732
+0.0162285
+0.0177964
+0.0193917
+0.0209529
+0.0224631
+0.0231428
+0.0236322
+0.0243037
+0.0246392
+0.0241274
+0.0237364
+0.0235396
+0.0235074
+0.0227461
+0.0218754
+0.0205355
+0.0191723
+0.0175575
+0.0159158
+0.0141594
+0.012302
+0.010573
+0.00904629
+0.0077352
+0.0062616
+0.004934
+0.00367389
+0.003123
+0.00335594
+0.00382045
+0.00503074
+0.0063895
+0.00690182
+0.00787066
+0.00780023
+0.00656587
+0.00584861
+0.00575725
+0.0063407
+0.00610811
+0.00484604
+0.00422293
+0.00373838
+0.00387696
+0.00483327
+0.00599793
+0.00750338
+0.00925661
+0.0111578
+0.0131494
+0.015186
+0.0171819
+0.0191692
+0.017118
+0.0149909
+0.0128682
+0.0107444
+0.00863853
+0.00656653
+0.00457476
+0.00269128
+0.000821729
+-0.000653028
+-0.00197841
+-0.000283499
+0.00183118
+0.00396512
+0.00610308
+0.00826224
+0.0102888
+0.0123202
+0.0143714
+0.0163626
+0.0183993
+0.0204639
+0.0258913
+0.0240977
+0.0223073
+0.0205402
+0.0188514
+0.0171895
+0.015536
+0.0139023
+0.0123399
+0.0109399
+0.00968048
+0.00841314
+0.00737058
+0.00655182
+0.00603796
+0.00598727
+0.00625778
+0.00692492
+0.00785253
+0.00897305
+0.0102385
+0.0116094
+0.0130446
+0.0145682
+0.0160993
+0.0176949
+0.0192147
+0.0207883
+0.022408
+0.023976
+0.0245684
+0.0250539
+0.0256883
+0.0254467
+0.0250294
+0.0247707
+0.0236572
+0.0224633
+0.0213986
+0.0203935
+0.0194711
+0.0186845
+0.0179258
+0.015996
+0.014046
+0.0121713
+0.0104206
+0.00886773
+0.00726135
+0.00567135
+0.00402273
+0.00275995
+0.00202935
+0.00168324
+0.00241399
+0.00344537
+0.00433196
+0.00487314
+0.00597679
+0.0063856
+0.00483489
+0.00386012
+0.00374683
+0.00447065
+0.00497885
+0.00355134
+0.00264469
+0.00242721
+0.0028324
+0.00389515
+0.00549706
+0.00719777
+0.00904057
+0.0109769
+0.0129905
+0.0150537
+0.0171486
+0.0192149
+0.0174426
+0.0153059
+0.013187
+0.0110709
+0.00895835
+0.00687802
+0.00487095
+0.00299419
+0.00113106
+-0.000460055
+-0.00186091
+-0.000715002
+0.00136473
+0.00348001
+0.00558231
+0.00765222
+0.0096076
+0.0116199
+0.013651
+0.0157153
+0.0177684
+0.0198459
+0.0251313
+0.0233635
+0.0216072
+0.0198413
+0.0181078
+0.0164604
+0.0148847
+0.0133836
+0.0119393
+0.0105543
+0.00941257
+0.0085206
+0.0076481
+0.00696282
+0.00673373
+0.00686237
+0.0073215
+0.00805325
+0.00902467
+0.0102258
+0.0115015
+0.0128778
+0.0143859
+0.0158808
+0.0174651
+0.0190596
+0.0206572
+0.0222316
+0.0238073
+0.0253479
+0.0258545
+0.0265328
+0.0268676
+0.0263767
+0.0253424
+0.0239083
+0.022549
+0.021294
+0.0200818
+0.0189157
+0.0178517
+0.0169902
+0.0162669
+0.0153567
+0.0142131
+0.0123638
+0.0106448
+0.00909832
+0.00731802
+0.00540137
+0.00368296
+0.00206827
+0.000916442
+0.000696928
+0.00104057
+0.00167168
+0.00215349
+0.00300165
+0.00433952
+0.00514674
+0.00349396
+0.00211406
+0.00187087
+0.00278829
+0.00388614
+0.00240871
+0.00150517
+0.00125004
+0.00214898
+0.0034005
+0.00518898
+0.00717249
+0.00919172
+0.011136
+0.0131579
+0.0152038
+0.0172805
+0.0193822
+0.017728
+0.0156154
+0.0135125
+0.0113926
+0.00929275
+0.00720716
+0.00518431
+0.00328208
+0.00139052
+-0.000259628
+-0.00153357
+-0.00118259
+0.000833473
+0.00287991
+0.0048747
+0.00690005
+0.00898667
+0.0110062
+0.013057
+0.0151426
+0.017246
+0.0193321
+0.0245082
+0.0227121
+0.0209673
+0.0192695
+0.0175608
+0.0158899
+0.0143197
+0.012872
+0.0115997
+0.010407
+0.00933539
+0.0084416
+0.00797934
+0.00758319
+0.00742676
+0.00774015
+0.008386
+0.00924424
+0.0102953
+0.0115276
+0.0128649
+0.0142421
+0.0156746
+0.0172244
+0.018776
+0.0203888
+0.0220248
+0.0236441
+0.0252681
+0.0267101
+0.0272181
+0.0278632
+0.0275542
+0.0260276
+0.0245077
+0.0230216
+0.0216066
+0.0201834
+0.0188113
+0.0175101
+0.0163657
+0.0154215
+0.0147163
+0.0137376
+0.0128713
+0.012117
+0.0112749
+0.00950892
+0.00753561
+0.00568581
+0.00403402
+0.00220126
+0.00083407
+-0.000491432
+-0.00047813
+5.07004e-05
+-7.93459e-06
+0.00142979
+0.00293423
+0.0029595
+0.00227606
+0.000506532
+0.000198612
+0.00142958
+0.00245297
+0.00138694
+0.000162349
+0.000573723
+0.00143243
+0.0030836
+0.00507986
+0.00716023
+0.00926815
+0.0114073
+0.0135595
+0.0156193
+0.0176564
+0.0197264
+0.0180348
+0.0159287
+0.013838
+0.0117593
+0.00970038
+0.00760084
+0.00555897
+0.0036181
+0.00174164
+5.18244e-05
+-0.001386
+-0.00176118
+0.00028162
+0.002305
+0.00431913
+0.00641326
+0.0085167
+0.0105553
+0.0125855
+0.0146549
+0.0167551
+0.0188069
+0.0239474
+0.0221948
+0.0204547
+0.0187711
+0.0171325
+0.0155332
+0.0139825
+0.0125398
+0.0112796
+0.0102807
+0.00942422
+0.00876843
+0.00840817
+0.00828148
+0.00838306
+0.00880887
+0.00940737
+0.010363
+0.0114831
+0.012757
+0.0141945
+0.0156272
+0.017082
+0.018542
+0.0201152
+0.0217272
+0.0233542
+0.0250045
+0.0266532
+0.0280049
+0.0286241
+0.0285988
+0.0269035
+0.0252592
+0.0236865
+0.0221067
+0.0205259
+0.0189829
+0.0175781
+0.0162237
+0.0150195
+0.0140047
+0.0132411
+0.0122964
+0.0113687
+0.0105436
+0.0100954
+0.00930591
+0.00832206
+0.00665806
+0.00488288
+0.00331135
+0.00178851
+-0.000234325
+-0.00158934
+-0.00205099
+-0.00138684
+-9.86678e-05
+0.00153469
+0.000791644
+0.000355578
+-0.000629594
+-0.00108771
+-0.000150441
+0.000930967
+-0.000118485
+-0.00103486
+-0.000897764
+0.00102714
+0.00308278
+0.00523567
+0.00741073
+0.00959291
+0.0117113
+0.0138162
+0.0159369
+0.0180739
+0.0202224
+0.0184255
+0.0163263
+0.0142451
+0.0121647
+0.0101036
+0.00803244
+0.00599973
+0.00405275
+0.00225063
+0.000503755
+-0.000946896
+-0.00225832
+-0.000320421
+0.00175259
+0.00378637
+0.00584217
+0.0078968
+0.00997887
+0.012065
+0.0141076
+0.0161825
+0.0182694
+0.0235547
+0.0217707
+0.0200499
+0.0183876
+0.016803
+0.0152807
+0.0138461
+0.0124548
+0.0112537
+0.0102709
+0.00962194
+0.00922851
+0.00899673
+0.00907447
+0.00935659
+0.00991664
+0.0106806
+0.0116087
+0.0127385
+0.0140231
+0.0154063
+0.0169136
+0.0184879
+0.0199785
+0.0214736
+0.02306
+0.0247145
+0.0263354
+0.0280099
+0.0293759
+0.0298562
+0.0280659
+0.02632
+0.0246249
+0.0229685
+0.0212645
+0.0195596
+0.0179468
+0.016397
+0.0149673
+0.0137251
+0.0127189
+0.0118181
+0.0110591
+0.0100994
+0.00920497
+0.00861763
+0.00778203
+0.00721819
+0.00701678
+0.00618563
+0.00442532
+0.00249024
+0.00104371
+-0.000691812
+-0.00227921
+-0.00304911
+-0.00151092
+-0.000383012
+-0.00094055
+-0.00166296
+-0.00205523
+-0.00230318
+-0.0017537
+-0.000637771
+-0.00109153
+-0.00189549
+-2.49285e-06
+0.00177818
+0.0038308
+0.00589469
+0.00789081
+0.00996845
+0.0120861
+0.0142258
+0.0163791
+0.0185282
+0.0205737
+0.0188513
+0.0167601
+0.0146935
+0.0126343
+0.0105765
+0.00853763
+0.00653836
+0.00463778
+0.00286253
+0.00111214
+-0.000432237
+-0.0020295
+-0.000839284
+0.00121711
+0.00326785
+0.00535444
+0.0074555
+0.00953398
+0.0116226
+0.0136688
+0.0157466
+0.0178514
+0.0231867
+0.0214593
+0.019804
+0.0181782
+0.016613
+0.0151586
+0.0138725
+0.0126153
+0.0115154
+0.0106096
+0.0100102
+0.00975819
+0.00972308
+0.00992311
+0.0104059
+0.0111163
+0.0119669
+0.012929
+0.0140795
+0.0153316
+0.0167153
+0.0181979
+0.0197418
+0.0213609
+0.0229243
+0.0244463
+0.0260395
+0.0276941
+0.0293334
+0.0307488
+0.0295092
+0.0276886
+0.0258979
+0.0241732
+0.0224034
+0.02056
+0.0187821
+0.0170434
+0.0154007
+0.0138821
+0.0125328
+0.0114102
+0.0104877
+0.00972778
+0.00913087
+0.00810809
+0.00743725
+0.00658562
+0.00587951
+0.00558859
+0.00566104
+0.00555105
+0.0039654
+0.00226342
+0.000629413
+-0.000708367
+-0.0025718
+-0.00315643
+-0.00215239
+-0.00246756
+-0.00325461
+-0.00376111
+-0.00392168
+-0.00315646
+-0.00251156
+-0.00263628
+-0.00222913
+-0.000393958
+0.00150007
+0.00351029
+0.0055997
+0.00774386
+0.00990826
+0.0120811
+0.0142584
+0.0164383
+0.017883
+0.0192269
+0.0193781
+0.0173058
+0.0152283
+0.0131795
+0.0111827
+0.00920629
+0.00723193
+0.00535091
+0.00356855
+0.00189854
+0.000313805
+-0.00121714
+-0.00121808
+0.000821022
+0.00285783
+0.00488715
+0.00701237
+0.00910474
+0.0111248
+0.0131915
+0.0152927
+0.0173569
+0.0228663
+0.0212116
+0.0195761
+0.0180236
+0.0166154
+0.015211
+0.0139297
+0.0128511
+0.0118466
+0.0111178
+0.0107112
+0.010547
+0.0105392
+0.0109079
+0.0114969
+0.0122366
+0.0132433
+0.0143335
+0.0154224
+0.0166992
+0.0180842
+0.019519
+0.0210514
+0.0226131
+0.024252
+0.0259051
+0.0274467
+0.0290415
+0.0306936
+0.0311943
+0.0293218
+0.027463
+0.0256566
+0.0238454
+0.021953
+0.020019
+0.0181433
+0.0163369
+0.0146149
+0.013023
+0.0115897
+0.0103489
+0.00936438
+0.00857092
+0.00805208
+0.00737184
+0.00659863
+0.00572544
+0.00491066
+0.00454467
+0.00449388
+0.00459575
+0.00510261
+0.00371412
+0.00163682
+-0.000471445
+-0.00261715
+-0.00474661
+-0.0042088
+-0.00440407
+-0.00517982
+-0.00541592
+-0.00558724
+-0.00488535
+-0.00441737
+-0.00434869
+-0.00230951
+-0.000350192
+0.00154223
+0.00361237
+0.00575133
+0.00789766
+0.0100291
+0.0121815
+0.0142754
+0.0153404
+0.0165785
+0.0179713
+0.0194776
+0.0178807
+0.0158712
+0.0138684
+0.011915
+0.00997337
+0.00810203
+0.00622798
+0.00447246
+0.00281151
+0.00133384
+-0.000242532
+-0.00127021
+0.000464785
+0.00252586
+0.00452595
+0.0065755
+0.00866788
+0.0107674
+0.0127387
+0.0147635
+0.0168299
+0.0226517
+0.0210192
+0.019467
+0.0179739
+0.0165855
+0.015353
+0.014259
+0.0132231
+0.0123917
+0.0117246
+0.011342
+0.0113185
+0.0115454
+0.0119469
+0.0126213
+0.0134625
+0.0144503
+0.0156255
+0.0168857
+0.0180598
+0.0194109
+0.0208993
+0.0224004
+0.0239525
+0.025534
+0.0271763
+0.0288866
+0.0304667
+0.0320609
+0.0311486
+0.0292566
+0.027395
+0.0255386
+0.0236374
+0.0216321
+0.0196665
+0.0177537
+0.0159031
+0.0141283
+0.0124744
+0.0109703
+0.0096255
+0.00851045
+0.00768813
+0.00711977
+0.0066735
+0.00613744
+0.00531692
+0.00444683
+0.00391584
+0.00389268
+0.00389701
+0.00385812
+0.00369382
+0.00153176
+-0.00061152
+-0.00277211
+-0.00495084
+-0.00634572
+-0.00647688
+-0.00724144
+-0.00728555
+-0.00749774
+-0.00671971
+-0.00624287
+-0.00422772
+-0.00225329
+-0.000398663
+0.00173214
+0.00391482
+0.00609181
+0.00812035
+0.0102161
+0.0120326
+0.012869
+0.0139476
+0.0152661
+0.0167241
+0.018321
+0.0186026
+0.0166244
+0.0146599
+0.0127272
+0.0108741
+0.00902043
+0.00721867
+0.00551591
+0.00394761
+0.00250901
+0.000579703
+-0.000792429
+4.72166e-05
+0.00208255
+0.00412997
+0.00618115
+0.00830067
+0.0103316
+0.0122528
+0.0142467
+0.0162735
+0.0225694
+0.02095
+0.0194194
+0.0179994
+0.0167464
+0.0155797
+0.0145935
+0.013702
+0.0130456
+0.0124707
+0.0122128
+0.0122782
+0.0126059
+0.0131903
+0.013871
+0.0147344
+0.0157452
+0.0169233
+0.0182005
+0.0195584
+0.0208245
+0.0222235
+0.0237339
+0.025333
+0.0268954
+0.0284818
+0.030135
+0.0318392
+0.0331253
+0.0312271
+0.0293402
+0.0274609
+0.0255617
+0.0235443
+0.0215305
+0.0195547
+0.0176297
+0.0157584
+0.0139614
+0.0122727
+0.0106697
+0.0092627
+0.00807528
+0.0071975
+0.00660759
+0.00622106
+0.00571534
+0.00520673
+0.0043916
+0.00373893
+0.00353959
+0.00291847
+0.00258155
+0.00275961
+0.0013898
+-0.000673909
+-0.00279625
+-0.00494485
+-0.00711062
+-0.00860827
+-0.00924025
+-0.00928484
+-0.00923294
+-0.00855514
+-0.00645926
+-0.00427927
+-0.0021106
+3.17339e-05
+0.00198066
+0.0037453
+0.00565581
+0.00766714
+0.00975604
+0.0106203
+0.0114965
+0.0126862
+0.0141127
+0.0156709
+0.0173649
+0.0191599
+0.0174577
+0.0155508
+0.0136534
+0.0118122
+0.0100542
+0.00822363
+0.00629961
+0.00451051
+0.00305189
+0.00112598
+-0.000601753
+-0.000401546
+0.0015871
+0.00363247
+0.00562909
+0.00771975
+0.00976432
+0.0117546
+0.0138056
+0.0158642
+0.0226564
+0.0210633
+0.0195762
+0.0181686
+0.016928
+0.015894
+0.0150902
+0.0142544
+0.0136701
+0.0133563
+0.0131673
+0.0132891
+0.0136996
+0.0143603
+0.0151343
+0.0160835
+0.0171171
+0.0182596
+0.0195563
+0.020906
+0.0223108
+0.0236719
+0.0250953
+0.026619
+0.0282306
+0.0298687
+0.0314583
+0.0331104
+0.0333155
+0.031433
+0.02954
+0.0276246
+0.0256678
+0.0236306
+0.0216233
+0.0196552
+0.0177342
+0.0158646
+0.0140558
+0.0123335
+0.010737
+0.0093358
+0.00816774
+0.00725828
+0.00659031
+0.00616522
+0.00517546
+0.00432654
+0.00368953
+0.00306532
+0.00257702
+0.00223782
+0.00191892
+0.0017861
+0.000356841
+-0.00125249
+-0.0031768
+-0.00519973
+-0.00730638
+-0.00943311
+-0.0112753
+-0.0113546
+-0.0109486
+-0.00889479
+-0.00689019
+-0.00484722
+-0.00288415
+-0.000870929
+0.000905957
+0.00294472
+0.00506513
+0.00712533
+0.00853223
+0.00929545
+0.0103772
+0.0116811
+0.0132158
+0.0148679
+0.0166438
+0.0185089
+0.0183997
+0.016514
+0.0146917
+0.0126627
+0.010586
+0.00854803
+0.00658306
+0.00471986
+0.00307614
+0.00150729
+-0.000365959
+-0.000737248
+0.00122897
+0.00321018
+0.00523377
+0.00722409
+0.00926036
+0.011293
+0.0133575
+0.0154417
+0.022861
+0.0213166
+0.0198576
+0.0185215
+0.0173403
+0.0163305
+0.0155655
+0.015035
+0.0145174
+0.0142297
+0.0142643
+0.0144284
+0.0148516
+0.0155275
+0.0163871
+0.017371
+0.0184693
+0.0196765
+0.0209037
+0.0222782
+0.0237045
+0.0251336
+0.0265678
+0.0280115
+0.0295473
+0.0311567
+0.0328265
+0.0344561
+0.0336476
+0.0317841
+0.0298519
+0.0279381
+0.025919
+0.0239031
+0.0219208
+0.0199821
+0.0180958
+0.0162306
+0.0144345
+0.0127523
+0.0111753
+0.00983512
+0.00872617
+0.00786714
+0.00719704
+0.00612792
+0.00502189
+0.0042232
+0.00353106
+0.00300094
+0.00261812
+0.00220124
+0.00178319
+0.00140936
+0.000465533
+-0.00143607
+-0.00339633
+-0.00537827
+-0.00742388
+-0.0095196
+-0.0116389
+-0.0129814
+-0.0109547
+-0.00890098
+-0.00692575
+-0.00495399
+-0.00303555
+-0.00105343
+0.000430529
+0.00249246
+0.00446959
+0.00630297
+0.00730935
+0.00823068
+0.00939826
+0.0107572
+0.0123481
+0.0140929
+0.015939
+0.0178631
+0.0192979
+0.0171708
+0.0150619
+0.0129802
+0.0108949
+0.00881854
+0.00680991
+0.00489277
+0.00317879
+0.0018252
+0.000216304
+-0.000978065
+0.000903991
+0.00283258
+0.00482995
+0.00685291
+0.00892151
+0.0109602
+0.0129969
+0.0150437
+0.0231546
+0.0216651
+0.0202694
+0.0190113
+0.0178983
+0.0169522
+0.0162165
+0.0156759
+0.0152698
+0.0151423
+0.0152848
+0.0156294
+0.0160751
+0.0167561
+0.017619
+0.0186648
+0.0197964
+0.0209889
+0.022315
+0.0236552
+0.0250526
+0.0265446
+0.0280132
+0.0295011
+0.0309631
+0.0325024
+0.0341064
+0.0357727
+0.0341173
+0.0322234
+0.0303054
+0.0283388
+0.0263504
+0.0243703
+0.0224293
+0.0205387
+0.0186652
+0.0168311
+0.0150894
+0.0134706
+0.0119885
+0.0107502
+0.00974267
+0.00888427
+0.00788959
+0.00665148
+0.00560616
+0.00484665
+0.00436932
+0.00387285
+0.0033414
+0.00276028
+0.00211692
+0.0017839
+0.000216692
+-0.001693
+-0.00379266
+-0.00583097
+-0.0078446
+-0.00984886
+-0.0119189
+-0.0128109
+-0.0107243
+-0.00867638
+-0.00671906
+-0.00496086
+-0.00320364
+-0.00133686
+0.00075767
+0.00253972
+0.00407988
+0.00552046
+0.00647109
+0.00744851
+0.00859764
+0.0100648
+0.0117501
+0.0135658
+0.0154749
+0.0173475
+0.0192058
+0.0175232
+0.0154125
+0.0133268
+0.0112647
+0.00920057
+0.00712101
+0.00509628
+0.00324728
+0.00173062
+0.000668865
+-0.00113168
+0.000587092
+0.00252092
+0.00452863
+0.00659727
+0.00855938
+0.0105923
+0.0126348
+0.0146887
+0.0235737
+0.022116
+0.0207836
+0.0195661
+0.0185011
+0.0175884
+0.0168823
+0.0164155
+0.0161174
+0.0160244
+0.0161776
+0.0166138
+0.0171864
+0.0179394
+0.0188837
+0.019931
+0.02109
+0.0223549
+0.0236211
+0.0249976
+0.0264487
+0.0278867
+0.029398
+0.0309285
+0.0324517
+0.0339364
+0.0354756
+0.0365638
+0.0347031
+0.0327936
+0.0308663
+0.0289005
+0.0269536
+0.0250212
+0.0231347
+0.0212533
+0.0194142
+0.0176556
+0.016004
+0.0144877
+0.013121
+0.0119558
+0.0110258
+0.010082
+0.00879977
+0.00770391
+0.00673872
+0.00609524
+0.00579007
+0.00533118
+0.0044718
+0.00344937
+0.00276185
+0.00165677
+-3.34533e-05
+-0.00202088
+-0.00401027
+-0.00612234
+-0.00827538
+-0.0104441
+-0.0125499
+-0.0129047
+-0.0108348
+-0.00881136
+-0.00689088
+-0.00495471
+-0.00314159
+-0.00128761
+0.000303725
+0.00191975
+0.0033242
+0.00473493
+0.00583611
+0.00663666
+0.00792848
+0.00937741
+0.0108533
+0.0125394
+0.0143551
+0.0162603
+0.0182297
+0.01801
+0.0158547
+0.0136966
+0.0115508
+0.00942575
+0.00733933
+0.00529313
+0.00337105
+0.00170148
+0.00038817
+-0.000688359
+0.000342733
+0.00229523
+0.00421576
+0.00625967
+0.0082796
+0.0103202
+0.0122973
+0.014303
+0.0241223
+0.0227159
+0.0214209
+0.0202417
+0.0192032
+0.0183371
+0.0176609
+0.0172214
+0.017017
+0.0169957
+0.0171896
+0.0176203
+0.0182596
+0.0190741
+0.020005
+0.0210836
+0.0222785
+0.023557
+0.0249542
+0.0263547
+0.0277606
+0.0292386
+0.0307716
+0.0322966
+0.033868
+0.0354003
+0.0369225
+0.037255
+0.0353782
+0.0334582
+0.0315353
+0.029614
+0.0277141
+0.0258235
+0.0239609
+0.02213
+0.0203702
+0.0187017
+0.0171511
+0.0157309
+0.0144607
+0.0133835
+0.0125596
+0.0112464
+0.010087
+0.00910815
+0.00822852
+0.00769744
+0.00737339
+0.00621864
+0.005115
+0.00401302
+0.00302959
+0.0014746
+-0.0002576
+-0.00238343
+-0.00454927
+-0.00672911
+-0.00878032
+-0.0108518
+-0.012931
+-0.0132957
+-0.0112951
+-0.00937156
+-0.00743393
+-0.00552524
+-0.00360589
+-0.00176902
+-0.000140516
+0.000941509
+0.00229064
+0.00339796
+0.00404965
+0.00510342
+0.00638241
+0.00780987
+0.0095316
+0.0114147
+0.0133838
+0.0154096
+0.0174751
+0.0181876
+0.0160382
+0.0139017
+0.0117851
+0.00970146
+0.00767767
+0.00561276
+0.00358667
+0.00177765
+0.000229905
+-0.000680348
+7.67793e-05
+0.00200116
+0.00389484
+0.00581388
+0.00787382
+0.00983696
+0.0118499
+0.0138834
+0.0247099
+0.0233999
+0.0221794
+0.0210358
+0.0200563
+0.0192582
+0.0186655
+0.0182502
+0.0180575
+0.0181294
+0.0183387
+0.0187758
+0.019408
+0.0202248
+0.0211557
+0.0222107
+0.0234109
+0.024719
+0.0261052
+0.02754
+0.0290567
+0.0305845
+0.0320852
+0.0336525
+0.0352291
+0.0368297
+0.0383724
+0.0377172
+0.0361283
+0.0342477
+0.0323392
+0.030467
+0.0285932
+0.0267534
+0.024935
+0.0231812
+0.0215076
+0.0199346
+0.0184645
+0.0171349
+0.0159652
+0.0149964
+0.0139185
+0.0126748
+0.0115989
+0.0107522
+0.0099799
+0.00946547
+0.00852302
+0.00730703
+0.00591843
+0.00472038
+0.00337769
+0.00151276
+-0.000170387
+-0.0022728
+-0.00443989
+-0.00662233
+-0.00880871
+-0.0109929
+-0.0130809
+-0.01402
+-0.0121394
+-0.0102279
+-0.00835539
+-0.00626481
+-0.00424593
+-0.00239266
+-0.00111206
+5.37612e-05
+0.000916678
+0.0014345
+0.00221205
+0.00349395
+0.00483649
+0.00660687
+0.00857368
+0.0106279
+0.0127154
+0.0148286
+0.0169599
+0.0185743
+0.0164607
+0.014344
+0.0122205
+0.0100848
+0.0079359
+0.00581822
+0.00374803
+0.00182835
+0.000152852
+-0.000944169
+-0.000175065
+0.00165632
+0.00350989
+0.00549844
+0.00753395
+0.00944731
+0.0114518
+0.0134553
+0.0254429
+0.0241727
+0.0230381
+0.02202
+0.0210651
+0.0202893
+0.0197275
+0.0193841
+0.0192027
+0.0192703
+0.0195427
+0.02
+0.0206804
+0.0214784
+0.022388
+0.0234471
+0.0245995
+0.0258745
+0.0272444
+0.0287066
+0.0302083
+0.0317487
+0.0333611
+0.0349729
+0.0365371
+0.0381625
+0.038937
+0.0382264
+0.0369929
+0.0351262
+0.0332681
+0.0314217
+0.0296067
+0.0278024
+0.0260574
+0.0243844
+0.0227993
+0.0212981
+0.0199168
+0.0186908
+0.0176142
+0.0166695
+0.0153833
+0.0142463
+0.0132879
+0.012513
+0.0118267
+0.0110997
+0.00981629
+0.00834835
+0.00696109
+0.00575978
+0.00365798
+0.00167004
+-0.000163245
+-0.00234933
+-0.00451495
+-0.00661194
+-0.00875493
+-0.0109169
+-0.0130884
+-0.0149223
+-0.0128447
+-0.0107343
+-0.0086555
+-0.00657439
+-0.0045941
+-0.00276851
+-0.00140725
+-0.00109514
+-0.00109971
+-0.000286403
+0.000604015
+0.00216447
+0.00394488
+0.00594397
+0.0080421
+0.0101793
+0.0123353
+0.0145017
+0.0166744
+0.0188513
+0.01681
+0.0146648
+0.0125353
+0.0104313
+0.00837175
+0.00636622
+0.00423635
+0.00213079
+0.000199011
+-0.00136501
+-0.000336903
+0.00149602
+0.00329626
+0.00523866
+0.0072076
+0.0092404
+0.0111295
+0.0130991
+0.0263382
+0.0251133
+0.0240242
+0.0230532
+0.0221985
+0.0214612
+0.0209118
+0.0205463
+0.0203753
+0.020439
+0.0207353
+0.0212344
+0.021901
+0.0227361
+0.0236446
+0.0246939
+0.0258422
+0.0270963
+0.0284275
+0.0298316
+0.0313261
+0.0328987
+0.0345089
+0.0361262
+0.0377828
+0.039454
+0.0395409
+0.0388413
+0.0379503
+0.0361013
+0.0342897
+0.0324964
+0.0307146
+0.0289794
+0.0273096
+0.0257182
+0.0241966
+0.0227804
+0.0214946
+0.0203623
+0.0193709
+0.018162
+0.016989
+0.0159297
+0.0150855
+0.0143857
+0.0137184
+0.0125084
+0.0110401
+0.00957072
+0.00817062
+0.00602868
+0.00393051
+0.00190739
+-1.10431e-05
+-0.00205761
+-0.00422304
+-0.00640521
+-0.00859172
+-0.010733
+-0.012791
+-0.0148869
+-0.0132952
+-0.0112188
+-0.00919564
+-0.00719785
+-0.00532422
+-0.00373713
+-0.00281551
+-0.0029943
+-0.00301186
+-0.00212953
+-0.000740791
+0.00123976
+0.00341929
+0.00560585
+0.00779468
+0.00998431
+0.0121743
+0.0143646
+0.0165549
+0.0187356
+0.0172997
+0.0151826
+0.0130743
+0.0109364
+0.00876838
+0.00661527
+0.00449625
+0.00240272
+0.000377588
+-0.00151608
+-0.000618465
+0.00142936
+0.00332228
+0.00514985
+0.00708026
+0.00911087
+0.0110078
+0.0129865
+0.0270553
+0.026092
+0.0251165
+0.0241895
+0.0234217
+0.0227519
+0.0222105
+0.0218513
+0.0216905
+0.0217502
+0.0220288
+0.0224928
+0.0231401
+0.0239708
+0.024946
+0.0259199
+0.0270305
+0.0282633
+0.0295771
+0.0309902
+0.0324897
+0.0340133
+0.0355876
+0.0372202
+0.0388924
+0.040594
+0.0402477
+0.0395606
+0.0389692
+0.0371697
+0.0354128
+0.0336559
+0.0319345
+0.0302693
+0.028674
+0.0271392
+0.0256985
+0.0243697
+0.0231723
+0.0221177
+0.0210195
+0.0197848
+0.0186837
+0.0177243
+0.0169757
+0.0162716
+0.0153337
+0.013877
+0.0123728
+0.0104851
+0.00830562
+0.00613411
+0.00398365
+0.00190251
+-4.5112e-05
+-0.001922
+-0.00388408
+-0.00590377
+-0.00800247
+-0.0101402
+-0.0120331
+-0.0137676
+-0.0138721
+-0.0119062
+-0.00995436
+-0.00811363
+-0.00647122
+-0.00522262
+-0.00454583
+-0.00472602
+-0.00434223
+-0.00220168
+-0.000125778
+0.00189853
+0.00386297
+0.00577657
+0.00777119
+0.00984602
+0.0119456
+0.0140718
+0.0162152
+0.0183697
+0.0176764
+0.0155207
+0.0133707
+0.0112352
+0.00907121
+0.00690542
+0.00474018
+0.0026053
+0.000513743
+-0.00153135
+-0.00100568
+0.00114944
+0.00327631
+0.00518533
+0.00707265
+0.00897427
+0.0109482
+0.0128793
+0.0277099
+0.0267919
+0.0260046
+0.0253678
+0.0247077
+0.0241268
+0.0236189
+0.0232648
+0.0231138
+0.0231699
+0.0234316
+0.023883
+0.0244936
+0.0252799
+0.026226
+0.0272583
+0.0283165
+0.0294969
+0.0307839
+0.032144
+0.033592
+0.0351161
+0.0366955
+0.0383342
+0.0399598
+0.041623
+0.0410595
+0.0403861
+0.03982
+0.0383337
+0.0366198
+0.0349106
+0.0332542
+0.0316562
+0.0301131
+0.0286544
+0.0272937
+0.0260465
+0.0249254
+0.0239231
+0.0226495
+0.0214964
+0.0204713
+0.0195996
+0.0188624
+0.0182101
+0.01676
+0.0150611
+0.0129107
+0.0107625
+0.00858223
+0.00640598
+0.00423409
+0.00208954
+8.98159e-05
+-0.00141136
+-0.00342004
+-0.00541795
+-0.007186
+-0.009139
+-0.0108312
+-0.0125264
+-0.0136355
+-0.0127036
+-0.0108937
+-0.00923563
+-0.00783215
+-0.0068346
+-0.00633284
+-0.00648846
+-0.00441653
+-0.00232315
+-0.000442795
+0.00128928
+0.00318931
+0.00524734
+0.00735248
+0.00949632
+0.0116576
+0.0138281
+0.0160042
+0.0181837
+0.0179981
+0.0158343
+0.0136791
+0.0115372
+0.00941715
+0.00731329
+0.00516285
+0.00298313
+0.000810011
+-0.00134009
+-0.00148732
+0.000570002
+0.00262642
+0.00472768
+0.00688483
+0.00875469
+0.0107135
+0.0126722
+0.0284767
+0.0275959
+0.026858
+0.0262561
+0.0258121
+0.0255333
+0.0251242
+0.0247916
+0.0246499
+0.0247025
+0.0249481
+0.0253482
+0.0259243
+0.0266684
+0.0275669
+0.0286005
+0.0296906
+0.0308357
+0.032073
+0.033384
+0.0347804
+0.0362554
+0.0378
+0.0393979
+0.0410462
+0.0427307
+0.0419699
+0.0413115
+0.0407534
+0.0395847
+0.037903
+0.0362543
+0.034658
+0.0331097
+0.0316375
+0.0302524
+0.0289669
+0.0277948
+0.0267403
+0.0255555
+0.0243572
+0.0232606
+0.022322
+0.0215024
+0.020808
+0.0196358
+0.0175148
+0.0153696
+0.0132163
+0.0110778
+0.00896441
+0.00689947
+0.00478281
+0.00263295
+0.000522262
+-0.00129719
+-0.00254234
+-0.00437656
+-0.00614145
+-0.00798197
+-0.00967865
+-0.0114256
+-0.0118517
+-0.0114199
+-0.0110475
+-0.0099088
+-0.00876415
+-0.00801946
+-0.00783655
+-0.00689864
+-0.00471585
+-0.00253306
+-0.000348446
+0.00151769
+0.00334923
+0.00539394
+0.0075212
+0.00963476
+0.0117619
+0.0139088
+0.0160675
+0.0182338
+0.0184317
+0.0162979
+0.0141294
+0.0119692
+0.00982234
+0.00767529
+0.00552947
+0.00343225
+0.00137791
+-0.000680234
+-0.00168222
+0.00013198
+0.00219301
+0.00421985
+0.00631603
+0.00846008
+0.0104827
+0.012544
+0.0293086
+0.0284804
+0.027761
+0.0271996
+0.026806
+0.0265586
+0.0264796
+0.0263987
+0.0262658
+0.0263152
+0.0265371
+0.0269102
+0.0274535
+0.0281572
+0.0290097
+0.0299963
+0.0310647
+0.0322133
+0.0334469
+0.0347125
+0.0360575
+0.0374824
+0.0389783
+0.0405375
+0.0421529
+0.0437151
+0.0429718
+0.0423264
+0.0417808
+0.0409111
+0.0392665
+0.0376747
+0.0361235
+0.0346408
+0.0332365
+0.0319208
+0.0307053
+0.029596
+0.0285019
+0.0272611
+0.0261149
+0.025092
+0.0242245
+0.0234336
+0.0221377
+0.0200419
+0.0179689
+0.0158851
+0.013803
+0.0116608
+0.00954066
+0.0074613
+0.00539913
+0.00346686
+0.00174166
+0.000247839
+-0.00136597
+-0.00313965
+-0.00489091
+-0.0066808
+-0.00836113
+-0.0101092
+-0.00996889
+-0.00969335
+-0.00935624
+-0.00847099
+-0.00741642
+-0.0065802
+-0.006356
+-0.00686271
+-0.00502242
+-0.00297489
+-0.00123762
+0.000610293
+0.00277312
+0.00493977
+0.00712092
+0.00925017
+0.011397
+0.0135579
+0.015727
+0.0179014
+0.0188441
+0.0166965
+0.0145618
+0.0124465
+0.0103535
+0.00829182
+0.00618361
+0.00402511
+0.00188636
+-0.000131534
+-0.00103721
+-0.000270569
+0.00181872
+0.00394587
+0.00593331
+0.00795246
+0.0100093
+0.0120588
+0.0301498
+0.0293403
+0.028675
+0.0281648
+0.0278183
+0.027609
+0.0275386
+0.0276415
+0.0279164
+0.0279897
+0.0282036
+0.0285549
+0.0290675
+0.0297331
+0.0305416
+0.0314728
+0.0325097
+0.0336312
+0.0348239
+0.0361081
+0.0374039
+0.0387793
+0.040227
+0.0417396
+0.0433102
+0.0447818
+0.0440565
+0.0434272
+0.0428956
+0.0422911
+0.0407019
+0.0391505
+0.0376595
+0.0362397
+0.0348998
+0.0336492
+0.0324962
+0.0314466
+0.0302032
+0.0290194
+0.027931
+0.0268051
+0.025345
+0.0239801
+0.022711
+0.0206647
+0.0185699
+0.016465
+0.0143858
+0.0123156
+0.0102935
+0.00835392
+0.00651872
+0.00479
+0.00310424
+0.00140665
+-0.000215105
+-0.00180465
+-0.00360243
+-0.00531119
+-0.00705272
+-0.0086607
+-0.0080519
+-0.00772488
+-0.00738337
+-0.00714549
+-0.0061122
+-0.00551226
+-0.00532985
+-0.00592498
+-0.00520113
+-0.00379678
+-0.00186237
+0.000270853
+0.00245023
+0.00463669
+0.00682384
+0.00901193
+0.0112005
+0.0133897
+0.0155793
+0.0177692
+0.0193702
+0.0172777
+0.0151494
+0.0129815
+0.0108227
+0.00867999
+0.00656899
+0.00447201
+0.00247975
+0.000697212
+-0.000520168
+-4.4056e-05
+0.00169803
+0.00360708
+0.005572
+0.00757916
+0.00964124
+0.0117382
+0.0310907
+0.0303057
+0.0296621
+0.0291692
+0.0288347
+0.0286642
+0.0286384
+0.0287697
+0.029047
+0.029472
+0.029914
+0.0302689
+0.030753
+0.0313828
+0.0321499
+0.0330279
+0.0340175
+0.0351012
+0.0362603
+0.0374953
+0.0388148
+0.0401539
+0.0415538
+0.0430197
+0.0445452
+0.0459283
+0.0452213
+0.0446085
+0.0440912
+0.0436778
+0.0421877
+0.0406901
+0.0392577
+0.0378978
+0.0366186
+0.0354288
+0.0343302
+0.0331722
+0.0318273
+0.0303008
+0.0287955
+0.0273204
+0.0258893
+0.0245546
+0.0233277
+0.0213122
+0.01924
+0.0171949
+0.0151906
+0.0132294
+0.0112078
+0.00926349
+0.00738028
+0.00563826
+0.00378105
+0.002099
+0.000709159
+-0.000586275
+-0.00231116
+-0.00402155
+-0.00581685
+-0.00700376
+-0.00625889
+-0.00591481
+-0.00555326
+-0.0053148
+-0.00497808
+-0.0045995
+-0.00479388
+-0.00536442
+-0.0048127
+-0.00309052
+-0.00136
+0.000421818
+0.00251619
+0.00467679
+0.00685179
+0.00903426
+0.0112199
+0.0134073
+0.0155955
+0.0177844
+0.0197378
+0.017589
+0.015451
+0.0133294
+0.0112331
+0.00915632
+0.00705433
+0.00499486
+0.00299613
+0.00131974
+0.00033161
+0.000279573
+0.00174053
+0.00361508
+0.00557867
+0.00745063
+0.00941689
+0.0113596
+0.0321417
+0.031383
+0.0307619
+0.0302869
+0.0299649
+0.0297971
+0.0297625
+0.0298889
+0.0301741
+0.0306139
+0.0312016
+0.0319131
+0.0324915
+0.0330883
+0.0338167
+0.0346518
+0.0355962
+0.0366335
+0.0377555
+0.0389564
+0.040228
+0.0415762
+0.0429513
+0.0443711
+0.0458516
+0.0471487
+0.0464603
+0.0458641
+0.0453611
+0.0449593
+0.0437302
+0.0422873
+0.0409108
+0.0396077
+0.0383855
+0.0372483
+0.0356582
+0.03403
+0.0324679
+0.0309118
+0.0293617
+0.0278977
+0.0265339
+0.0252866
+0.0241114
+0.0220828
+0.0200345
+0.0179773
+0.0159558
+0.0139852
+0.0120893
+0.0102207
+0.00829709
+0.00648807
+0.0047038
+0.00296826
+0.00142465
+1.38861e-05
+-0.00121741
+-0.00292941
+-0.00426907
+-0.00515909
+-0.00476039
+-0.00434731
+-0.00400304
+-0.00360849
+-0.00301603
+-0.00317056
+-0.00429353
+-0.0052165
+-0.00423826
+-0.00220545
+-0.000212245
+0.00137201
+0.00322608
+0.00524388
+0.00731044
+0.00940086
+0.0115286
+0.0136762
+0.0158352
+0.0179996
+0.0201484
+0.017997
+0.015856
+0.0137306
+0.0116291
+0.00956738
+0.00753222
+0.00548655
+0.00353444
+0.00190122
+0.000991496
+0.000694963
+0.00194442
+0.00357438
+0.00541137
+0.00723258
+0.00908663
+0.0110367
+0.0332868
+0.0325548
+0.0319565
+0.0314996
+0.0311901
+0.0310325
+0.0310009
+0.0311222
+0.0313963
+0.0318192
+0.032385
+0.0330865
+0.0339153
+0.0348362
+0.0355289
+0.0363353
+0.037237
+0.03823
+0.0393065
+0.0404729
+0.0417084
+0.0430102
+0.044382
+0.0457874
+0.0472236
+0.0484375
+0.0477677
+0.047188
+0.0466993
+0.0463091
+0.0453261
+0.0439356
+0.0426124
+0.041363
+0.0397054
+0.0380158
+0.0363344
+0.0346235
+0.0329693
+0.0313697
+0.0298434
+0.0284041
+0.0270659
+0.0258443
+0.0247566
+0.0227891
+0.0207737
+0.0187977
+0.0168747
+0.0149689
+0.0130419
+0.0111666
+0.00937789
+0.00761436
+0.0058622
+0.00416431
+0.0024276
+0.00079107
+-0.000603336
+-0.00173557
+-0.00312872
+-0.0032912
+-0.00281121
+-0.00256183
+-0.00207519
+-0.00158368
+-0.0010317
+-0.00128275
+-0.00296782
+-0.00498654
+-0.00374461
+-0.00165032
+0.000285029
+0.0022522
+0.00423889
+0.00617211
+0.00810002
+0.010106
+0.0121632
+0.0142323
+0.0163183
+0.0184286
+0.0205385
+0.0184286
+0.0162989
+0.0141879
+0.0121029
+0.0100394
+0.00803353
+0.00609808
+0.00425222
+0.00267178
+0.00166283
+0.00159301
+0.00229087
+0.00356588
+0.00516789
+0.00695689
+0.00874987
+0.0106523
+0.0345332
+0.0338282
+0.0332528
+0.0328138
+0.0325169
+0.0323658
+0.0323377
+0.032454
+0.0327169
+0.0331229
+0.0336669
+0.0343422
+0.0351414
+0.0360561
+0.0370778
+0.0380535
+0.038932
+0.0398829
+0.0409159
+0.0420378
+0.0432416
+0.0445059
+0.045833
+0.0472244
+0.0486556
+0.0497894
+0.0491381
+0.0485746
+0.0481
+0.0477213
+0.04697
+0.0456296
+0.0439127
+0.0421642
+0.0403721
+0.0385915
+0.0368552
+0.0351696
+0.0335424
+0.0319714
+0.0304752
+0.0290673
+0.0277611
+0.0265714
+0.0255148
+0.0236455
+0.0217098
+0.0197894
+0.0178696
+0.0159605
+0.014133
+0.0123638
+0.0105877
+0.00884974
+0.00713495
+0.00540781
+0.00376188
+0.00227638
+0.00112434
+-0.000586604
+-0.00214647
+-0.00179777
+-0.00124889
+-0.000915895
+-0.000514753
+-4.68181e-05
+0.000648598
+-0.000234673
+-0.0022765
+-0.00413144
+-0.00339196
+-0.00150726
+0.00060381
+0.00273773
+0.00479119
+0.00681319
+0.0089144
+0.0110171
+0.0129819
+0.0149874
+0.0170225
+0.0190885
+0.0209742
+0.0188508
+0.0167448
+0.0146636
+0.0126153
+0.0106027
+0.00866801
+0.00675996
+0.0050021
+0.00350751
+0.0024406
+0.00225808
+0.00271665
+0.00374518
+0.0052089
+0.00687311
+0.00869471
+0.0106362
+0.0358701
+0.0351919
+0.0346392
+0.034218
+0.0339333
+0.0337886
+0.0337617
+0.0338731
+0.0341251
+0.0345145
+0.0350369
+0.0356863
+0.036456
+0.0373385
+0.0383261
+0.0394108
+0.0405849
+0.0415535
+0.0425671
+0.0436565
+0.0448168
+0.0460522
+0.0473409
+0.0486892
+0.0500803
+0.0511994
+0.0505662
+0.0500189
+0.049029
+0.0476815
+0.0463983
+0.0450276
+0.043546
+0.0421262
+0.0407748
+0.0392048
+0.0374969
+0.0358415
+0.0342462
+0.0327091
+0.0312483
+0.0298768
+0.0286075
+0.0274546
+0.0264333
+0.0246672
+0.022718
+0.0208032
+0.0189362
+0.017146
+0.0153831
+0.0136036
+0.011894
+0.0101593
+0.00844849
+0.00681483
+0.00533756
+0.00366609
+0.00192002
+0.00083287
+-0.000262334
+9.16621e-05
+0.000275597
+0.000483923
+0.000910677
+0.0014806
+0.00239695
+0.000403249
+-0.00163673
+-0.00343326
+-0.00262244
+-0.00058086
+0.00103878
+0.0030566
+0.00518692
+0.00735281
+0.00953005
+0.0115995
+0.0136672
+0.0157681
+0.0178537
+0.0198695
+0.0213991
+0.0193225
+0.0172741
+0.0152653
+0.0133098
+0.0113202
+0.00939907
+0.00757552
+0.00590803
+0.00453363
+0.00362496
+0.00300517
+0.00352635
+0.0044233
+0.00569642
+0.00731869
+0.00908114
+0.0109704
+0.0372879
+0.0366359
+0.0361053
+0.0357015
+0.0354287
+0.0352901
+0.0352643
+0.035371
+0.0356124
+0.0359858
+0.0364871
+0.0371111
+0.0378519
+0.0387026
+0.0396562
+0.0407055
+0.0418432
+0.0430624
+0.0442326
+0.0452877
+0.0464122
+0.0476057
+0.0488683
+0.0501948
+0.0515394
+0.0526627
+0.0513188
+0.0498408
+0.0484168
+0.0470518
+0.045751
+0.044307
+0.0428001
+0.0413543
+0.0399764
+0.0386735
+0.0374536
+0.0363249
+0.035073
+0.0335737
+0.0321522
+0.030821
+0.0295922
+0.0284792
+0.0274959
+0.0256622
+0.0237783
+0.0219458
+0.0201848
+0.0184244
+0.0166434
+0.0149597
+0.0131946
+0.0115111
+0.00989481
+0.0084092
+0.00646129
+0.00470175
+0.00331367
+0.00218502
+0.00183446
+0.00194107
+0.00242905
+0.00264973
+0.0029256
+0.00350233
+0.00303187
+0.000946244
+-0.00105897
+-0.0031264
+-0.00238965
+-0.00028695
+0.00183116
+0.00374434
+0.00578076
+0.00787855
+0.00995671
+0.0120622
+0.0141933
+0.0163402
+0.0184962
+0.0205706
+0.0220347
+0.0200241
+0.0180241
+0.0160162
+0.0140152
+0.0120702
+0.010225
+0.0085258
+0.00703675
+0.00589763
+0.00482556
+0.00419001
+0.00457143
+0.00550848
+0.00655935
+0.00795771
+0.00955621
+0.0112795
+0.0387777
+0.0381512
+0.0376419
+0.0372547
+0.0369934
+0.0368607
+0.036836
+0.0369382
+0.0371694
+0.0375273
+0.0380083
+0.0386077
+0.0393203
+0.0401399
+0.0410601
+0.0420744
+0.0431761
+0.0443587
+0.0456159
+0.0469417
+0.0480482
+0.0492044
+0.050427
+0.0517135
+0.0530483
+0.0523702
+0.0508288
+0.0493361
+0.0478972
+0.0465169
+0.0452006
+0.0436748
+0.0421453
+0.0406763
+0.0392746
+0.0379476
+0.0367035
+0.035551
+0.0344993
+0.0335577
+0.0327139
+0.0318679
+0.0306811
+0.0296091
+0.028638
+0.0267814
+0.0249771
+0.0232255
+0.0214599
+0.0197013
+0.0180144
+0.0162536
+0.0145857
+0.0129834
+0.0113047
+0.00944622
+0.00771675
+0.00623601
+0.0051156
+0.00414169
+0.00391131
+0.00404592
+0.00459875
+0.00482421
+0.00504015
+0.00488346
+0.00300051
+0.00101503
+-0.00100549
+-0.00238246
+-0.00154471
+0.000362397
+0.0023917
+0.00450892
+0.00664665
+0.00858027
+0.0105931
+0.0126652
+0.0147715
+0.0168782
+0.0189755
+0.0210907
+0.0227658
+0.0207542
+0.0187492
+0.016781
+0.0148751
+0.0130489
+0.0113484
+0.00980047
+0.00849874
+0.00730205
+0.00630241
+0.00579472
+0.00570543
+0.00603481
+0.00692782
+0.00824987
+0.00975151
+0.0114159
+0.0403315
+0.0397295
+0.0392407
+0.0388695
+0.0386191
+0.038492
+0.0384683
+0.0385662
+0.0387877
+0.0391308
+0.0395923
+0.0401681
+0.0408534
+0.0416429
+0.0425306
+0.0435106
+0.0445768
+0.0457232
+0.0469439
+0.0482332
+0.0495831
+0.0508472
+0.0520312
+0.0532791
+0.053579
+0.0519825
+0.0504293
+0.0489244
+0.047473
+0.04608
+0.0447474
+0.0431447
+0.0415957
+0.0401066
+0.0386842
+0.0373363
+0.0360711
+0.0348977
+0.0338257
+0.0328649
+0.0320028
+0.0312646
+0.0306654
+0.0302136
+0.0298018
+0.0280207
+0.0262727
+0.0245043
+0.0227701
+0.0210624
+0.019325
+0.0176683
+0.0160757
+0.0142854
+0.0124859
+0.010779
+0.00926974
+0.00807884
+0.00697035
+0.00615211
+0.00594843
+0.00618073
+0.00672563
+0.00673595
+0.00555187
+0.00435499
+0.00261605
+0.000778204
+-0.00102257
+-0.00182695
+-0.000792947
+0.00106846
+0.00314764
+0.00521109
+0.00726641
+0.00931828
+0.0114155
+0.0134615
+0.0154597
+0.0175041
+0.01958
+0.0210437
+0.0224674
+0.021569
+0.0196406
+0.0177722
+0.015974
+0.0142804
+0.0127071
+0.0113159
+0.00996169
+0.00871842
+0.00751051
+0.00669686
+0.0064045
+0.00678914
+0.00763142
+0.00876245
+0.0101453
+0.0117495
+0.0419421
+0.0413636
+0.0408944
+0.0405383
+0.0402983
+0.0401765
+0.0401538
+0.0402476
+0.0404599
+0.0407889
+0.0412318
+0.0417851
+0.0424443
+0.0432047
+0.044061
+0.0450077
+0.0460392
+0.0471501
+0.0483347
+0.0495879
+0.0509018
+0.0522645
+0.0536605
+0.0548874
+0.0532903
+0.0516849
+0.0501225
+0.0486081
+0.0471469
+0.0457439
+0.0443386
+0.0427205
+0.0411556
+0.0396499
+0.0382105
+0.0368453
+0.0355626
+0.0343719
+0.0332829
+0.032306
+0.0314285
+0.0306765
+0.0300656
+0.0296047
+0.0293006
+0.0291585
+0.0275607
+0.0258459
+0.0241184
+0.0224038
+0.0207555
+0.0191548
+0.0173074
+0.0155395
+0.0138572
+0.0123355
+0.0110411
+0.00989305
+0.00885149
+0.00818752
+0.00802741
+0.00834296
+0.00713813
+0.00571503
+0.00433622
+0.00337736
+0.00213243
+0.000662354
+-0.000989816
+-0.00110504
+7.45598e-06
+0.00135825
+0.00337748
+0.00552341
+0.00769459
+0.00987441
+0.012047
+0.0141219
+0.0161241
+0.0172904
+0.0185358
+0.019928
+0.0214047
+0.0225496
+0.0207126
+0.0189432
+0.017245
+0.0156694
+0.0142502
+0.012672
+0.0110128
+0.00953344
+0.00834069
+0.00755069
+0.00728308
+0.00758911
+0.00831327
+0.00936052
+0.0106671
+0.0122081
+0.0435926
+0.0430362
+0.0425854
+0.0422436
+0.0420133
+0.0418965
+0.0418861
+0.041976
+0.0421796
+0.0424953
+0.0429206
+0.0434524
+0.0440867
+0.0448192
+0.0456452
+0.0465597
+0.0475576
+0.0486338
+0.0497832
+0.0510008
+0.0522792
+0.0536068
+0.0549897
+0.0547424
+0.0530905
+0.0514789
+0.0499099
+0.0483889
+0.0469209
+0.045511
+0.044035
+0.0424054
+0.0408283
+0.0393101
+0.0378579
+0.0364794
+0.0351835
+0.0339794
+0.0328774
+0.0318881
+0.0309988
+0.0302361
+0.0296162
+0.0291481
+0.0288392
+0.0286948
+0.0287166
+0.027184
+0.0254873
+0.0238456
+0.0221625
+0.0203523
+0.0186039
+0.0169426
+0.0154142
+0.014062
+0.0128686
+0.0117069
+0.0108228
+0.0102869
+0.00999513
+0.0081003
+0.00639702
+0.00492724
+0.00372838
+0.00282878
+0.00190376
+0.000795599
+-0.000556814
+-0.00104304
+0.000614477
+0.00200529
+0.00382198
+0.0057359
+0.00775954
+0.00985488
+0.0119774
+0.0136823
+0.0149224
+0.0161554
+0.0174858
+0.0189562
+0.020438
+0.0220131
+0.0219327
+0.0202482
+0.0186691
+0.0169781
+0.0151652
+0.0134298
+0.011826
+0.0104378
+0.00932204
+0.00857419
+0.00831017
+0.00852302
+0.00916993
+0.0101913
+0.0114306
+0.0128967
+0.0452857
+0.0447505
+0.0443171
+0.0439887
+0.0437676
+0.0436555
+0.0436532
+0.0437458
+0.0439412
+0.0442444
+0.044653
+0.0451644
+0.045775
+0.0464809
+0.0472779
+0.0481614
+0.0491268
+0.0501693
+0.0512843
+0.0524671
+0.0537106
+0.0550037
+0.0563275
+0.0546358
+0.0529806
+0.0513655
+0.049793
+0.0482683
+0.0467965
+0.0453827
+0.043839
+0.0422018
+0.0406168
+0.0390904
+0.0376296
+0.0362425
+0.0349378
+0.033725
+0.0326144
+0.0316168
+0.0307197
+0.0299499
+0.0293239
+0.028851
+0.028539
+0.028393
+0.028415
+0.0281434
+0.0269374
+0.0251921
+0.0234107
+0.0216779
+0.020032
+0.0184994
+0.0171106
+0.0158843
+0.0146452
+0.0136319
+0.0128651
+0.0118586
+0.00987186
+0.00795138
+0.0062033
+0.00477971
+0.00384025
+0.00305469
+0.00265008
+0.0013154
+-0.000303309
+-0.0013193
+0.000458019
+0.00224492
+0.00415331
+0.00619128
+0.0081337
+0.0100949
+0.0114248
+0.0126488
+0.0139396
+0.0151999
+0.0166129
+0.0180107
+0.0195346
+0.0211758
+0.022909
+0.0214259
+0.0195346
+0.0177042
+0.0159484
+0.0143067
+0.0128132
+0.011526
+0.0105127
+0.00986445
+0.00961202
+0.00980309
+0.0103738
+0.0113241
+0.0124692
+0.0138491
+0.04702
+0.0465047
+0.0460879
+0.0457722
+0.0455598
+0.045452
+0.0454498
+0.0455523
+0.0457399
+0.0460312
+0.0464242
+0.0469163
+0.0475043
+0.0481849
+0.0489542
+0.049808
+0.050742
+0.051752
+0.0528336
+0.0539824
+0.0551918
+0.056451
+0.0563092
+0.0546169
+0.0529611
+0.0513454
+0.0497723
+0.0482469
+0.0467745
+0.04536
+0.0437519
+0.0421113
+0.0405228
+0.0389927
+0.0375281
+0.0361371
+0.0348284
+0.0336117
+0.0324972
+0.0314959
+0.0305952
+0.0298222
+0.0291935
+0.0287185
+0.028405
+0.0282583
+0.0282805
+0.0280407
+0.0275071
+0.0264727
+0.0247579
+0.0231237
+0.0215883
+0.0201743
+0.0189089
+0.0176383
+0.0165184
+0.0156251
+0.0140938
+0.0120827
+0.0101458
+0.00828736
+0.00661754
+0.00530801
+0.00454757
+0.0039709
+0.00290252
+0.0010107
+-0.000847481
+-0.00207614
+-0.000182859
+0.0019097
+0.00406162
+0.00621963
+0.00819859
+0.00951661
+0.0107034
+0.0119259
+0.0131212
+0.0143372
+0.0157254
+0.0172364
+0.0188231
+0.0205199
+0.0222913
+0.0222158
+0.0203799
+0.0186187
+0.0169578
+0.0154211
+0.0140465
+0.0128866
+0.0119867
+0.0114067
+0.0111743
+0.0113417
+0.0118565
+0.0126693
+0.0137405
+0.0150093
+0.0487911
+0.0482946
+0.0478934
+0.0475896
+0.0473854
+0.0472818
+0.0472797
+0.0473789
+0.0475617
+0.0478419
+0.0482201
+0.048694
+0.0492609
+0.0499176
+0.0506605
+0.051486
+0.0523901
+0.053369
+0.0544184
+0.0555345
+0.0567132
+0.057945
+0.0563704
+0.0546788
+0.0530237
+0.0514088
+0.0498378
+0.0483151
+0.0468453
+0.0454337
+0.0437743
+0.0421347
+0.0405471
+0.0390179
+0.0375543
+0.0361643
+0.0348567
+0.033641
+0.0325275
+0.0315266
+0.0306246
+0.0298524
+0.0292243
+0.0287498
+0.0284366
+0.0282901
+0.0282923
+0.0281088
+0.0275765
+0.0272108
+0.0262169
+0.0246795
+0.023247
+0.0219402
+0.0206623
+0.01947
+0.0184616
+0.0166084
+0.014615
+0.0126868
+0.0108457
+0.0091004
+0.0075896
+0.00644516
+0.00584357
+0.00520024
+0.00322805
+0.0012781
+-0.000504674
+-0.001435
+0.000303802
+0.00233605
+0.00442667
+0.00656372
+0.00797507
+0.00915026
+0.0101403
+0.0112857
+0.0123229
+0.0136145
+0.0150683
+0.0166777
+0.0183264
+0.0200652
+0.0218735
+0.0231593
+0.0214045
+0.0197349
+0.0181638
+0.0167278
+0.0154698
+0.0144364
+0.0136176
+0.01311
+0.0129143
+0.0130595
+0.0135012
+0.0142262
+0.0151943
+0.0163543
+0.0505949
+0.0501164
+0.0497298
+0.0494374
+0.0492408
+0.0491412
+0.0491391
+0.0492346
+0.0494121
+0.0496818
+0.0500461
+0.0505029
+0.0510497
+0.0516836
+0.0524015
+0.0532
+0.0540755
+0.0550244
+0.0560428
+0.0571272
+0.0582737
+0.0582266
+0.0565057
+0.0548183
+0.0531675
+0.0515571
+0.0499908
+0.0484729
+0.0470081
+0.0455822
+0.0439012
+0.0422668
+0.0406848
+0.0391595
+0.0376983
+0.0363106
+0.0350051
+0.0337913
+0.0326794
+0.0316802
+0.0307827
+0.0300145
+0.0293899
+0.0289182
+0.0286069
+0.0284612
+0.0284634
+0.028337
+0.0278189
+0.0274396
+0.0272146
+0.0263258
+0.0249879
+0.0237006
+0.0224611
+0.0212997
+0.0192935
+0.0173321
+0.0154309
+0.0135876
+0.0118463
+0.0102724
+0.00896138
+0.00801527
+0.00752232
+0.00612147
+0.00430274
+0.00247785
+0.000842006
+0.00030403
+0.00155446
+0.00324863
+0.00516111
+0.00710597
+0.00795783
+0.00875907
+0.00978922
+0.0108007
+0.0118803
+0.0132154
+0.0147087
+0.0163531
+0.0180713
+0.0198433
+0.0216701
+0.0235591
+0.022575
+0.0209884
+0.0195164
+0.0181875
+0.0170376
+0.0160983
+0.0153619
+0.0149137
+0.0147423
+0.0148696
+0.0152631
+0.0159306
+0.0167948
+0.017851
+0.0524283
+0.0519667
+0.051594
+0.0513122
+0.0511228
+0.0510268
+0.0510248
+0.0511168
+0.0512892
+0.0515492
+0.0519004
+0.052341
+0.0528688
+0.0534811
+0.0541752
+0.0549479
+0.055796
+0.0567161
+0.0577047
+0.0587584
+0.0598737
+0.0584398
+0.0567253
+0.0550446
+0.0534009
+0.0517977
+0.0502389
+0.0487287
+0.0472719
+0.0457935
+0.0441205
+0.0424946
+0.0409214
+0.0394052
+0.0379536
+0.0365755
+0.0352798
+0.0340758
+0.0329735
+0.0319835
+0.0310948
+0.0303345
+0.0297166
+0.0292501
+0.0289423
+0.0287984
+0.0288005
+0.0286941
+0.028173
+0.027815
+0.0276007
+0.0275517
+0.0267509
+0.0254778
+0.0240598
+0.0220871
+0.0201592
+0.0182658
+0.0164464
+0.0147284
+0.0131392
+0.0117399
+0.0106117
+0.00981995
+0.00892129
+0.00717476
+0.00542038
+0.00378875
+0.00261072
+0.00231225
+0.00311308
+0.00453343
+0.00626421
+0.00764868
+0.00821867
+0.00885488
+0.00988811
+0.010749
+0.0118333
+0.0131733
+0.0146709
+0.0162987
+0.0180207
+0.0198352
+0.0216873
+0.0235749
+0.0238701
+0.0223756
+0.0210009
+0.0197721
+0.0187198
+0.017869
+0.0172085
+0.0168097
+0.0166579
+0.0167707
+0.0171126
+0.0176726
+0.0184709
+0.019451
+0.0542882
+0.0538425
+0.0534828
+0.053211
+0.0530284
+0.0529359
+0.052934
+0.0530226
+0.0531904
+0.0534411
+0.0537799
+0.0542052
+0.054715
+0.055307
+0.0559784
+0.0567266
+0.0575485
+0.058441
+0.0594009
+0.060425
+0.0604709
+0.058734
+0.0570284
+0.0553569
+0.0537227
+0.0521294
+0.0505808
+0.0490812
+0.0476351
+0.0461081
+0.0444469
+0.0428334
+0.0412731
+0.0397703
+0.0383325
+0.0369686
+0.0356871
+0.0344973
+0.033409
+0.0324322
+0.0315561
+0.0308072
+0.030199
+0.0297401
+0.0294375
+0.029296
+0.0292981
+0.0291935
+0.0286814
+0.0283298
+0.0281449
+0.0281044
+0.0282269
+0.0268936
+0.024952
+0.0230358
+0.021173
+0.0193789
+0.0176744
+0.0160881
+0.0146471
+0.0134062
+0.0124302
+0.0115349
+0.00992935
+0.00819775
+0.00664557
+0.00535432
+0.00451782
+0.00440753
+0.00495391
+0.00598601
+0.00744632
+0.00832095
+0.00875093
+0.00942076
+0.0103622
+0.0111311
+0.0121779
+0.0134404
+0.0149122
+0.016501
+0.0182038
+0.0200018
+0.0218463
+0.0237491
+0.0252889
+0.0238833
+0.0226006
+0.0214636
+0.0204983
+0.0197242
+0.0191279
+0.0187699
+0.0186342
+0.0187009
+0.0189929
+0.019499
+0.0202254
+0.0211297
+0.0561719
+0.0557413
+0.055394
+0.0551316
+0.0549553
+0.0548661
+0.0548642
+0.0549498
+0.055113
+0.055355
+0.0556822
+0.0560931
+0.0565859
+0.0571585
+0.0578084
+0.0585332
+0.0593301
+0.0601962
+0.0611285
+0.0621241
+0.0608342
+0.059108
+0.0574134
+0.0557535
+0.0541313
+0.0525504
+0.0510146
+0.0495281
+0.0480954
+0.0465237
+0.044878
+0.0432805
+0.0417369
+0.0402515
+0.0388315
+0.0374857
+0.0362226
+0.035051
+0.0339803
+0.0330205
+0.0321604
+0.0314259
+0.0308299
+0.0303806
+0.0300844
+0.0299459
+0.029948
+0.0298457
+0.0293449
+0.0290015
+0.0288209
+0.0288062
+0.028933
+0.0278505
+0.0259634
+0.0241278
+0.0223561
+0.0206649
+0.0190757
+0.0176116
+0.0163021
+0.0151969
+0.0137135
+0.0123918
+0.0110581
+0.00949076
+0.00813132
+0.00707867
+0.0064968
+0.00637478
+0.00685922
+0.00768842
+0.00881902
+0.00934455
+0.00972939
+0.010374
+0.0111501
+0.011838
+0.0128269
+0.0140343
+0.0154496
+0.0169858
+0.0186444
+0.0204036
+0.0222146
+0.0240884
+0.0260117
+0.0254904
+0.0242927
+0.0232386
+0.0223372
+0.0215914
+0.0210479
+0.0206811
+0.0205397
+0.0206069
+0.0208845
+0.0213624
+0.0220275
+0.0228836
+0.0580772
+0.0576607
+0.0573251
+0.0570716
+0.0569014
+0.0568151
+0.0568133
+0.056896
+0.057055
+0.0572888
+0.057605
+0.0580023
+0.058479
+0.0590332
+0.0596627
+0.0603653
+0.0611382
+0.0619791
+0.062885
+0.0630168
+0.0612737
+0.0595602
+0.0578789
+0.0562327
+0.0546248
+0.0530585
+0.0515379
+0.0500669
+0.0486501
+0.0470378
+0.0454107
+0.0438327
+0.0423093
+0.0408446
+0.039446
+0.0381219
+0.0368806
+0.0357305
+0.0346809
+0.033741
+0.0328998
+0.0321822
+0.0316004
+0.0311622
+0.0308735
+0.0307386
+0.0307406
+0.0306409
+0.0301534
+0.0298192
+0.0296436
+0.0296294
+0.0297767
+0.0289222
+0.0271145
+0.0253623
+0.0236832
+0.0220938
+0.020612
+0.0192499
+0.0176418
+0.0161359
+0.0147318
+0.013522
+0.0124283
+0.0110113
+0.00983405
+0.00897204
+0.00851093
+0.0083771
+0.0087514
+0.0095456
+0.0102529
+0.0107171
+0.0110534
+0.0116319
+0.0122535
+0.0128828
+0.013797
+0.014929
+0.0162664
+0.0177299
+0.0193247
+0.021027
+0.0227885
+0.0246186
+0.0265035
+0.0271725
+0.0260314
+0.0250134
+0.0241518
+0.0234637
+0.0229576
+0.0226192
+0.02249
+0.0225526
+0.0228065
+0.0232552
+0.0238675
+0.0246599
+0.0600019
+0.0595989
+0.0592743
+0.0590291
+0.0588646
+0.0587812
+0.0587795
+0.0588594
+0.0590144
+0.0592405
+0.0595463
+0.0599307
+0.0603922
+0.060929
+0.0615392
+0.0622205
+0.0629707
+0.0637874
+0.064668
+0.0635167
+0.0617878
+0.060089
+0.0584229
+0.0567924
+0.0552008
+0.0536514
+0.052148
+0.0506948
+0.049296
+0.0476472
+0.0460416
+0.044486
+0.0429858
+0.041545
+0.0401707
+0.0388714
+0.0376547
+0.0365291
+0.035503
+0.0345715
+0.0337472
+0.0330477
+0.0324812
+0.0320547
+0.0317738
+0.0316425
+0.0316465
+0.0315684
+0.0310955
+0.0307715
+0.0306014
+0.0305876
+0.0307303
+0.0295665
+0.0278693
+0.0262298
+0.0246761
+0.0232253
+0.021879
+0.0202427
+0.01872
+0.0172913
+0.0159786
+0.0148617
+0.0139405
+0.0127174
+0.0116639
+0.01094
+0.0105628
+0.0104553
+0.0107575
+0.0114481
+0.0119192
+0.0122534
+0.0125858
+0.013137
+0.0136223
+0.0141913
+0.0150261
+0.0160745
+0.0173231
+0.0187024
+0.0202206
+0.0218533
+0.023553
+0.0253279
+0.0271636
+0.0288639
+0.0277775
+0.0268259
+0.0260243
+0.025387
+0.0249113
+0.0245997
+0.024481
+0.0245397
+0.0247732
+0.025195
+0.0257625
+0.0264983
+0.0619443
+0.0615541
+0.0612398
+0.0610025
+0.0608433
+0.0607627
+0.060761
+0.0608383
+0.0609895
+0.0612083
+0.0615044
+0.0618766
+0.0623237
+0.062844
+0.0634357
+0.0640969
+0.0648254
+0.065619
+0.0658292
+0.0640878
+0.0623746
+0.0606922
+0.0590432
+0.0574304
+0.0558569
+0.0543262
+0.052842
+0.0514084
+0.0499758
+0.0483483
+0.0467668
+0.0452361
+0.0437616
+0.0423472
+0.0409998
+0.0397276
+0.038538
+0.0374389
+0.0364223
+0.0355058
+0.0347037
+0.0340239
+0.0334739
+0.0330602
+0.032788
+0.0326607
+0.0326649
+0.0326169
+0.0321594
+0.0318463
+0.0316819
+0.0316686
+0.0318065
+0.0303489
+0.0286901
+0.0271004
+0.0255996
+0.0242042
+0.0229266
+0.0213869
+0.0199448
+0.0185974
+0.0173837
+0.016363
+0.0155341
+0.0145173
+0.0135994
+0.0129777
+0.0126613
+0.0125693
+0.0128241
+0.0134087
+0.0137336
+0.013948
+0.0142902
+0.0147986
+0.0151595
+0.0156602
+0.0164205
+0.0174213
+0.0185589
+0.0198472
+0.0212835
+0.0228399
+0.02449
+0.0262016
+0.02798
+0.0297749
+0.0295828
+0.0286912
+0.0279431
+0.0273506
+0.0269014
+0.0266132
+0.0265035
+0.0265588
+0.0267747
+0.0271662
+0.0277011
+0.0283867
+0.0639028
+0.0635246
+0.0632201
+0.0629903
+0.0628361
+0.0627581
+0.0627564
+0.0628312
+0.0629789
+0.0631908
+0.0634776
+0.0638384
+0.0642718
+0.0647765
+0.0653507
+0.0659927
+0.0667005
+0.067472
+0.0664526
+0.0647279
+0.0630322
+0.0613678
+0.0597374
+0.0581438
+0.0565902
+0.0550799
+0.0536166
+0.0522042
+0.0507393
+0.0491371
+0.0475818
+0.0460782
+0.0446315
+0.0432456
+0.0419271
+0.0406839
+0.039523
+0.038434
+0.0374387
+0.0365478
+0.035769
+0.0351098
+0.0345771
+0.0341768
+0.0339135
+0.0337905
+0.0337947
+0.0337664
+0.0333246
+0.0330226
+0.0328641
+0.0328512
+0.0329226
+0.0312628
+0.0296492
+0.0281137
+0.02667
+0.0253266
+0.0240909
+0.0226688
+0.0213131
+0.0200584
+0.0189385
+0.0180062
+0.0172564
+0.0164087
+0.0156025
+0.0150583
+0.0147865
+0.0147043
+0.0149262
+0.015428
+0.0156145
+0.0157654
+0.0160983
+0.0165071
+0.0168099
+0.0172787
+0.0179706
+0.0188927
+0.0199299
+0.0211348
+0.022489
+0.0239673
+0.0255481
+0.0272065
+0.0289248
+0.0306326
+0.0314372
+0.0305996
+0.0298994
+0.0293463
+0.0289206
+0.0286527
+0.0285508
+0.0286032
+0.0288038
+0.029168
+0.0296749
+0.0303158
+0.0658759
+0.0655091
+0.0652138
+0.0649911
+0.0648417
+0.0647661
+0.0647645
+0.064837
+0.0649813
+0.0651867
+0.0654647
+0.0658146
+0.0662351
+0.0667249
+0.0672825
+0.0679063
+0.0685943
+0.0688756
+0.0671417
+0.0654352
+0.0637582
+0.0621133
+0.060503
+0.0589302
+0.0573978
+0.0559094
+0.0544683
+0.0530786
+0.0515709
+0.0499953
+0.0484676
+0.0469923
+0.0455747
+0.0442201
+0.0429346
+0.0417247
+0.0405827
+0.0395202
+0.0385529
+0.0376884
+0.0369336
+0.0362956
+0.0357806
+0.0353938
+0.0351397
+0.035021
+0.0350252
+0.0349973
+0.0345713
+0.0342802
+0.0341275
+0.0341152
+0.0338873
+0.0322791
+0.0307256
+0.0292538
+0.0278626
+0.0265642
+0.0253887
+0.0240821
+0.0228091
+0.0216429
+0.0206093
+0.0197559
+0.019075
+0.0183668
+0.0176459
+0.0171663
+0.0169284
+0.0168535
+0.0170506
+0.0173976
+0.017547
+0.0176676
+0.0179826
+0.0183186
+0.0185725
+0.019012
+0.0196432
+0.0204862
+0.0214375
+0.022562
+0.0238353
+0.0252349
+0.0267408
+0.0283294
+0.0299712
+0.0316191
+0.0333296
+0.0325436
+0.0318861
+0.0313646
+0.0309631
+0.030713
+0.030618
+0.0306678
+0.0308549
+0.0311952
+0.0316771
+0.0322784
+0.0678624
+0.0675064
+0.0672199
+0.0670038
+0.0668589
+0.0667855
+0.066784
+0.0668543
+0.0669954
+0.0671946
+0.0674644
+0.067804
+0.0682122
+0.0686879
+0.0692297
+0.0698361
+0.0705053
+0.0696097
+0.0678945
+0.0662074
+0.0645505
+0.0629263
+0.0613374
+0.0597865
+0.0582767
+0.0568112
+0.0553937
+0.0540278
+0.0524766
+0.0509291
+0.0494302
+0.0479846
+0.0465971
+0.0452731
+0.0440184
+0.0428391
+0.041728
+0.0406954
+0.0397568
+0.0389189
+0.0381885
+0.0375718
+0.0370745
+0.0367014
+0.0364564
+0.036342
+0.0363462
+0.0363187
+0.0359084
+0.0356282
+0.0354814
+0.0354695
+0.0349596
+0.033403
+0.0319042
+0.030486
+0.029157
+0.0279191
+0.0267928
+0.025605
+0.0243857
+0.023299
+0.0223397
+0.0215612
+0.0209649
+0.0203723
+0.0197208
+0.0192928
+0.0190802
+0.0190123
+0.0191899
+0.0194146
+0.0195216
+0.0196301
+0.0199297
+0.0202053
+0.0204181
+0.0208202
+0.0213989
+0.0221609
+0.023055
+0.0241042
+0.0253
+0.0266226
+0.0280542
+0.0295722
+0.0311306
+0.0327228
+0.0343784
+0.0345172
+0.033898
+0.0334013
+0.0330246
+0.0327903
+0.0327013
+0.0327487
+0.0329241
+0.0332432
+0.0337016
+0.0342686
+0.0698611
+0.0695153
+0.0692371
+0.0690274
+0.0688867
+0.0688155
+0.068814
+0.0688822
+0.0690198
+0.0692137
+0.0694757
+0.0698054
+0.070202
+0.0706643
+0.0711911
+0.0717809
+0.0721263
+0.0704043
+0.0687089
+0.0670423
+0.0654066
+0.0638042
+0.0622377
+0.0607098
+0.0592235
+0.0577821
+0.056389
+0.0550205
+0.0534569
+0.0519385
+0.0504696
+0.0490546
+0.0476983
+0.0464058
+0.0451825
+0.0440344
+0.0429546
+0.0419522
+0.0410423
+0.0402312
+0.0395251
+0.0389296
+0.0384498
+0.0380902
+0.0378542
+0.037744
+0.0377483
+0.0377212
+0.0373263
+0.0370568
+0.0369157
+0.0369042
+0.0361329
+0.0346231
+0.0331743
+0.0318104
+0.0305429
+0.0293677
+0.0282967
+0.0271989
+0.0260511
+0.0250342
+0.024144
+0.0234254
+0.0228688
+0.0224125
+0.0218183
+0.0214322
+0.0212385
+0.0211775
+0.0213396
+0.0214658
+0.0215381
+0.0216365
+0.0219228
+0.0221353
+0.0223261
+0.0226945
+0.0232266
+0.0239109
+0.0247608
+0.0257405
+0.0268636
+0.0281127
+0.029472
+0.0309042
+0.0323853
+0.0339321
+0.035529
+0.0365155
+0.0359308
+0.0354564
+0.0351018
+0.0348814
+0.0347977
+0.0348432
+0.035008
+0.0353083
+0.0357406
+0.0362819
+0.0718709
+0.0715348
+0.0712646
+0.0710608
+0.0709242
+0.070855
+0.0708536
+0.0709198
+0.0710536
+0.0712429
+0.0714974
+0.0718179
+0.0722035
+0.072653
+0.0731655
+0.0737395
+0.0729593
+0.0712574
+0.0695828
+0.0679377
+0.0663241
+0.0647444
+0.0632011
+0.0616971
+0.0602352
+0.0588186
+0.0574506
+0.0560419
+0.0545075
+0.0530193
+0.0515812
+0.0501975
+0.0488729
+0.0476123
+0.0464209
+0.0453041
+0.0442557
+0.0432834
+0.0424021
+0.0416175
+0.0409353
+0.0403606
+0.0398981
+0.0395516
+0.0393244
+0.0392183
+0.0392226
+0.039196
+0.0388161
+0.0385571
+0.0384214
+0.0384104
+0.037383
+0.0359151
+0.0345205
+0.0332119
+0.032
+0.0308961
+0.0298853
+0.0288683
+0.0277895
+0.0268361
+0.0260077
+0.0253414
+0.024819
+0.0244756
+0.0239325
+0.0235811
+0.0234029
+0.0233476
+0.0234968
+0.023542
+0.0235856
+0.0236755
+0.0239167
+0.0240926
+0.0242777
+0.0246182
+0.0250962
+0.0257285
+0.026526
+0.0274449
+0.0285008
+0.0296811
+0.0309715
+0.0323167
+0.0337358
+0.0352286
+0.0367643
+0.0383464
+0.0379811
+0.0375269
+0.037192
+0.036984
+0.0369051
+0.0369488
+0.0371043
+0.0373877
+0.0377962
+0.0383146
+0.0738911
+0.0735642
+0.0733014
+0.0731034
+0.0729705
+0.0729033
+0.0729019
+0.0729663
+0.0730964
+0.0732814
+0.0735289
+0.0738406
+0.0742156
+0.0746531
+0.0751519
+0.0755549
+0.0738479
+0.0721669
+0.070514
+0.0688911
+0.0673003
+0.0657441
+0.0642249
+0.0627454
+0.0613083
+0.0599166
+0.0585738
+0.0571291
+0.0556247
+0.0541672
+0.0527604
+0.0514084
+0.0501158
+0.0488873
+0.0477277
+0.0466422
+0.0456249
+0.0446824
+0.0438292
+0.0430707
+0.0424118
+0.0418574
+0.0414116
+0.0410779
+0.0408592
+0.0407571
+0.0407614
+0.0407353
+0.0403698
+0.0401208
+0.0399905
+0.0399799
+0.0387072
+0.037291
+0.0359499
+0.0346953
+0.033537
+0.0324853
+0.031528
+0.0306035
+0.0295881
+0.0286922
+0.0279189
+0.0272916
+0.0268064
+0.026494
+0.0260593
+0.025737
+0.0255718
+0.0255211
+0.0256582
+0.0256374
+0.0256568
+0.0257395
+0.0259377
+0.0260871
+0.0262538
+0.026569
+0.0270119
+0.0276003
+0.0283447
+0.0292059
+0.0302003
+0.0313165
+0.0325422
+0.0338121
+0.035171
+0.0366054
+0.0380856
+0.0396149
+0.0400448
+0.0396103
+0.0392931
+0.0390963
+0.0390217
+0.0390637
+0.0392108
+0.0394791
+0.0398662
+0.0403639
+0.0759207
+0.0756026
+0.0753469
+0.0751542
+0.075025
+0.0749597
+0.0749583
+0.075021
+0.0751474
+0.0753285
+0.0755692
+0.0758725
+0.0762376
+0.0766635
+0.0771493
+0.0764761
+0.0747901
+0.0731308
+0.0715002
+0.0699001
+0.0683329
+0.0668007
+0.0653057
+0.0638508
+0.0624389
+0.061073
+0.0597561
+0.0582783
+0.0568044
+0.0553779
+0.0540027
+0.0526826
+0.0514221
+0.0502255
+0.0490975
+0.048043
+0.047055
+0.0461419
+0.0453163
+0.0445832
+0.0439471
+0.0434124
+0.0429828
+0.0426615
+0.042451
+0.0423528
+0.0423576
+0.0423319
+0.0419804
+0.041741
+0.0416158
+0.0415302
+0.0401074
+0.0387421
+0.0374529
+0.0362504
+0.0351434
+0.0341412
+0.0332321
+0.032394
+0.0314364
+0.0305913
+0.0298672
+0.029275
+0.0288233
+0.028533
+0.0281959
+0.0278983
+0.027744
+0.0276974
+0.0278159
+0.0277474
+0.0277464
+0.0278228
+0.0279843
+0.0281095
+0.0282616
+0.0285546
+0.0289666
+0.0295161
+0.0302127
+0.0310216
+0.0319596
+0.0330164
+0.0341704
+0.0353801
+0.0366809
+0.0380585
+0.0394842
+0.0409614
+0.0421177
+0.0417046
+0.0414035
+0.0412168
+0.0411461
+0.0411866
+0.0413261
+0.0415808
+0.0419485
+0.0424261
+0.077959
+0.0776493
+0.0774003
+0.0772128
+0.0770871
+0.0770234
+0.0770221
+0.0770831
+0.0772062
+0.0773834
+0.0776178
+0.0779131
+0.0782686
+0.0786836
+0.0791384
+0.0774483
+0.075784
+0.0741469
+0.0725391
+0.0709623
+0.0694187
+0.0679106
+0.0664405
+0.065011
+0.0636249
+0.0622849
+0.060973
+0.0594851
+0.0580419
+0.0566466
+0.0553029
+0.0540146
+0.0527859
+0.0516209
+0.0505241
+0.0494927
+0.0485266
+0.0476417
+0.0468427
+0.0461339
+0.0455196
+0.0450037
+0.0445895
+0.04428
+0.0440773
+0.0439829
+0.0439915
+0.0439795
+0.0436412
+0.043411
+0.0432906
+0.0429501
+0.0415759
+0.0402601
+0.0390211
+0.0378684
+0.0368101
+0.0358546
+0.0349854
+0.034227
+0.0333263
+0.0325213
+0.0318411
+0.0312862
+0.0308638
+0.0305929
+0.0303402
+0.0300638
+0.029919
+0.0298758
+0.0299327
+0.0298691
+0.0298357
+0.0299215
+0.0300511
+0.0301499
+0.0302947
+0.0305683
+0.0309496
+0.0314645
+0.0321209
+0.0328831
+0.0337694
+0.0347713
+0.0358567
+0.0370114
+0.0382567
+0.0395796
+0.0409524
+0.0423785
+0.0438676
+0.0438084
+0.0435219
+0.0433443
+0.043277
+0.0433162
+0.0434489
+0.0436912
+0.0440413
+0.0444966
+0.0800054
+0.0797036
+0.0794611
+0.0792784
+0.079156
+0.079094
+0.0790928
+0.0791521
+0.079272
+0.0794456
+0.0796739
+0.0799616
+0.0803081
+0.0807125
+0.0801382
+0.0784697
+0.0768274
+0.0752128
+0.0736278
+0.0720747
+0.0705553
+0.0690721
+0.0676272
+0.0662234
+0.0648631
+0.0635493
+0.062203
+0.0607453
+0.0593327
+0.0579685
+0.0566561
+0.0553994
+0.054202
+0.0530682
+0.0520003
+0.0509876
+0.0500504
+0.0491929
+0.0484195
+0.0477341
+0.0471407
+0.0466427
+0.0462432
+0.0459448
+0.0457495
+0.0456586
+0.0456672
+0.045663
+0.0453373
+0.0451158
+0.0449999
+0.0444327
+0.0431057
+0.0418378
+0.0406469
+0.0395416
+0.0385293
+0.0376061
+0.0367759
+0.0360598
+0.035248
+0.0344825
+0.0338418
+0.03332
+0.0329237
+0.0326699
+0.0324907
+0.0322328
+0.0320899
+0.0320202
+0.0320535
+0.0319884
+0.0319336
+0.0320289
+0.0321234
+0.0322101
+0.0323476
+0.0326029
+0.0329506
+0.0334347
+0.0340531
+0.034783
+0.035622
+0.0365732
+0.0375951
+0.0386979
+0.0398907
+0.0411611
+0.0424828
+0.0438592
+0.0452997
+0.0459204
+0.0456471
+0.0454778
+0.0454137
+0.0454516
+0.0455781
+0.0458092
+0.0461432
+0.0465779
+0.0820592
+0.081765
+0.0815287
+0.0813506
+0.0812313
+0.0811709
+0.0811697
+0.0812275
+0.0813443
+0.0815144
+0.081737
+0.0820175
+0.0823553
+0.0827497
+0.0811846
+0.0795377
+0.0779176
+0.076326
+0.0747647
+0.0732356
+0.0717409
+0.0702826
+0.0688632
+0.0674851
+0.0661508
+0.064863
+0.0634848
+0.0620572
+0.0606752
+0.0593418
+0.0580605
+0.0568348
+0.0556684
+0.054565
+0.0535148
+0.0525313
+0.0516221
+0.0507912
+0.0500425
+0.0493797
+0.0488062
+0.0483254
+0.04794
+0.0476522
+0.0474639
+0.0473763
+0.0473849
+0.0473877
+0.047074
+0.0468606
+0.0467491
+0.0459718
+0.0446906
+0.0434673
+0.0423216
+0.0412604
+0.0402906
+0.0393994
+0.0386077
+0.0379262
+0.0371945
+0.0364699
+0.0358646
+0.0353725
+0.0349995
+0.0347608
+0.034629
+0.0343942
+0.0342175
+0.0341515
+0.0341642
+0.0340946
+0.0340432
+0.0341326
+0.0342091
+0.0342865
+0.0344134
+0.0346502
+0.0349743
+0.0354308
+0.0360149
+0.0367152
+0.0375111
+0.0384155
+0.0393786
+0.0404329
+0.0415759
+0.0427963
+0.0440691
+0.0453973
+0.0467905
+0.0480393
+0.0477782
+0.0476165
+0.0475552
+0.0475921
+0.0477129
+0.0479337
+0.048253
+0.0486689
+0.08412
+0.083833
+0.0836025
+0.0834289
+0.0833125
+0.0832537
+0.0832524
+0.0833088
+0.0834227
+0.0835895
+0.0838066
+0.0840801
+0.0844097
+0.0839258
+0.0822754
+0.0806508
+0.0790535
+0.0774852
+0.0759477
+0.074443
+0.072973
+0.0715398
+0.0701459
+0.0687934
+0.067485
+0.0662232
+0.0648153
+0.0634177
+0.062066
+0.0607631
+0.0595125
+0.0583173
+0.0571811
+0.0560993
+0.0550748
+0.0541197
+0.0532377
+0.0524324
+0.0517074
+0.0510662
+0.0505119
+0.0500475
+0.0496754
+0.0493978
+0.0492162
+0.0491316
+0.0491403
+0.0491496
+0.0488471
+0.0486416
+0.0485341
+0.0475621
+0.0463142
+0.0451344
+0.0440321
+0.0430132
+0.0420837
+0.041231
+0.0404752
+0.0398257
+0.0391595
+0.0384793
+0.0379061
+0.0374407
+0.0370885
+0.0368633
+0.0367305
+0.0365092
+0.0363526
+0.0362897
+0.0362843
+0.0362108
+0.0361624
+0.0362466
+0.0363071
+0.0363762
+0.03649
+0.0367114
+0.0370171
+0.0374486
+0.0380018
+0.0386713
+0.0394314
+0.0402867
+0.0412015
+0.0422102
+0.0433063
+0.0444794
+0.0457019
+0.046984
+0.0483315
+0.0497389
+0.0499144
+0.0497597
+0.0497011
+0.0497369
+0.0498525
+0.0500639
+0.0503697
+0.0507682
+0.0861871
+0.085907
+0.0856821
+0.0855127
+0.0853992
+0.0853418
+0.0853406
+0.0853956
+0.0855067
+0.0856704
+0.0858821
+0.0861491
+0.0864708
+0.0850378
+0.0834095
+0.0818074
+0.0802331
+0.0786883
+0.0771748
+0.0756945
+0.0742492
+0.0728412
+0.0714726
+0.0701458
+0.0688631
+0.0676029
+0.0661916
+0.0648237
+0.0635019
+0.0622291
+0.0610085
+0.0598432
+0.0587335
+0.0576726
+0.0566766
+0.055749
+0.0548931
+0.0541124
+0.0534103
+0.0527898
+0.0522538
+0.0518049
+0.0514456
+0.0511775
+0.0510023
+0.0509207
+0.0509294
+0.0509447
+0.050653
+0.0504548
+0.0503512
+0.0491915
+0.0479824
+0.0468447
+0.0457836
+0.0448045
+0.043913
+0.0430962
+0.0423736
+0.0417537
+0.0411474
+0.0405075
+0.0399635
+0.039522
+0.0391886
+0.0389756
+0.0388418
+0.0386326
+0.0384838
+0.038426
+0.0384124
+0.0383354
+0.0382897
+0.0383692
+0.0384155
+0.0384772
+0.0385788
+0.0387864
+0.0390758
+0.0394849
+0.0400099
+0.0406463
+0.0413785
+0.0421842
+0.0430586
+0.0440248
+0.0450768
+0.046205
+0.0473789
+0.0486168
+0.0499202
+0.0512841
+0.0520552
+0.0519068
+0.0518507
+0.0518856
+0.0519964
+0.0521991
+0.0524924
+0.052875
+0.0872755
+0.0858681
+0.08441
+0.0829843
+0.0815924
+0.0802335
+0.07887
+0.0774637
+0.0760731
+0.0747209
+0.0734091
+0.0721401
+0.0708586
+0.0695712
+0.0683069
+0.0670786
+0.0658505
+0.0646063
+0.0633989
+0.062233
+0.0611235
+0.0600417
+0.058942
+0.0578737
+0.0568698
+0.0559337
+0.0550656
+0.0542498
+0.0533902
+0.0524572
+0.0516004
+0.0508129
+0.0500456
+0.0493636
+0.0487412
+0.0481668
+0.0476825
+0.0472927
+0.0467635
+0.0460736
+0.0454772
+0.0449579
+0.0445016
+0.0441495
+0.0438982
+0.0437398
+0.0436727
+0.0437123
+0.0438237
+0.0440394
+0.0443622
+0.044783
+0.0452924
+0.0459007
+0.0465671
+0.0473067
+0.0481314
+0.0490401
+0.0500284
+0.0510792
+0.0519024
+0.0507225
+0.0496113
+0.0485736
+0.0476141
+0.0467376
+0.045949
+0.0452471
+0.0446366
+0.0441264
+0.0437202
+0.0434208
+0.0432306
+0.0431508
+0.0431822
+0.0433182
+0.0435489
+0.043888
+0.0443328
+0.0448707
+0.0455077
+0.0462398
+0.0470624
+0.0479612
+0.0489193
+0.0498865
+0.0509269
+0.0520389
+0.053182
+0.0543178
+0.0555168
+0.0567751
+0.0580887
+0.0594541
+0.0608677
+0.0623263
+0.0638268
+0.0653661
+0.0669398
+0.0685465
+0.0856196
+0.0841878
+0.0827736
+0.0813191
+0.0798982
+0.0785128
+0.0771542
+0.0757906
+0.0743779
+0.0729943
+0.0716509
+0.0703502
+0.0690944
+0.0677956
+0.0665206
+0.0652608
+0.0640449
+0.0628086
+0.0615686
+0.0603751
+0.0592307
+0.0581336
+0.0570611
+0.0559569
+0.054918
+0.053948
+0.05305
+0.0522207
+0.0514071
+0.0504726
+0.0495815
+0.0487725
+0.0479911
+0.0472795
+0.0466514
+0.046051
+0.0455442
+0.045138
+0.0447391
+0.0440176
+0.0433947
+0.0428602
+0.0423938
+0.042024
+0.0417623
+0.0415958
+0.0415308
+0.0415725
+0.0416926
+0.0419192
+0.0422583
+0.0426953
+0.0432292
+0.0438605
+0.044554
+0.0453244
+0.0461845
+0.0471308
+0.0481528
+0.0492401
+0.0500935
+0.04887
+0.0477157
+0.0466358
+0.0456356
+0.0447203
+0.0438955
+0.0431641
+0.0425236
+0.0419878
+0.0415607
+0.0412457
+0.0410453
+0.0409613
+0.0409944
+0.041136
+0.0413789
+0.0417356
+0.0422009
+0.0427655
+0.0434333
+0.0441998
+0.0450553
+0.0459931
+0.0469457
+0.0479499
+0.0490315
+0.0501824
+0.0513459
+0.0525214
+0.0537605
+0.0550589
+0.0564126
+0.0578176
+0.0592702
+0.0607672
+0.0623052
+0.0638812
+0.0654906
+0.067132
+0.0839882
+0.0825281
+0.0811009
+0.0796794
+0.0782288
+0.0768132
+0.0754347
+0.0740764
+0.0727079
+0.0712932
+0.0699171
+0.0685835
+0.0672948
+0.066045
+0.064736
+0.0634666
+0.0622198
+0.0609991
+0.0597599
+0.0585373
+0.0573592
+0.0562388
+0.0551538
+0.0540609
+0.0529848
+0.0519788
+0.051047
+0.0501891
+0.0493806
+0.0485058
+0.0475778
+0.0467342
+0.0459492
+0.0452055
+0.0445571
+0.0439425
+0.043411
+0.0429848
+0.0426212
+0.0419751
+0.0413215
+0.0407689
+0.0402947
+0.0399055
+0.0396322
+0.0394568
+0.0393929
+0.0394368
+0.0395679
+0.0398066
+0.0401635
+0.0406184
+0.0411792
+0.0418325
+0.0425539
+0.0433583
+0.0442566
+0.0452432
+0.0463011
+0.0474309
+0.0483163
+0.0470465
+0.0458464
+0.0447213
+0.0436773
+0.0427202
+0.0418559
+0.0410904
+0.040419
+0.0398549
+0.0394047
+0.0390723
+0.0388607
+0.0387719
+0.0388069
+0.0389548
+0.0392112
+0.0395874
+0.0400752
+0.0406693
+0.041371
+0.0421749
+0.0430658
+0.0440226
+0.0449892
+0.0460361
+0.0471616
+0.0483508
+0.0495386
+0.050756
+0.0520372
+0.0533776
+0.0547728
+0.0562187
+0.0577117
+0.059248
+0.0608244
+0.0624379
+0.0640835
+0.06576
+0.0823712
+0.0808937
+0.0794371
+0.0780149
+0.0765856
+0.075139
+0.0737292
+0.0723583
+0.0710003
+0.0696184
+0.0682097
+0.066842
+0.065519
+0.0642435
+0.0629765
+0.0616802
+0.0604147
+0.0591847
+0.0579588
+0.0567165
+0.055511
+0.0543525
+0.0532508
+0.0521878
+0.0510724
+0.050028
+0.0490592
+0.0481688
+0.0473455
+0.0465338
+0.0455914
+0.0447103
+0.0439205
+0.0431429
+0.0424631
+0.0418425
+0.041284
+0.0408355
+0.0404641
+0.0399483
+0.039261
+0.0386856
+0.038206
+0.0377952
+0.037508
+0.0373239
+0.0372606
+0.0373071
+0.0374509
+0.037703
+0.0380794
+0.038554
+0.0391445
+0.0398217
+0.0405704
+0.0414133
+0.0423529
+0.0433829
+0.0444803
+0.0456552
+0.0465743
+0.0452557
+0.0440067
+0.0428334
+0.0417421
+0.0407396
+0.0398324
+0.0390272
+0.038324
+0.0377286
+0.0372527
+0.0369009
+0.0366768
+0.0365827
+0.0366197
+0.0367747
+0.0370462
+0.0374442
+0.0379568
+0.0385835
+0.0393225
+0.0401641
+0.0410967
+0.0420483
+0.0430553
+0.044148
+0.0453153
+0.0465503
+0.0477635
+0.049025
+0.0503502
+0.0517343
+0.0531726
+0.054661
+0.0561953
+0.057772
+0.0593876
+0.061039
+0.0626992
+0.0641694
+0.0807558
+0.0792767
+0.0777994
+0.0763467
+0.0749299
+0.0734921
+0.07205
+0.0706465
+0.0692839
+0.0679244
+0.0665297
+0.0651276
+0.063769
+0.0624578
+0.0611969
+0.0599111
+0.0586289
+0.0573677
+0.0561558
+0.0549227
+0.0536794
+0.0524899
+0.0513567
+0.050268
+0.0491832
+0.0480978
+0.0470893
+0.0461628
+0.0453174
+0.0445178
+0.0436244
+0.0427028
+0.0418756
+0.0410937
+0.0403794
+0.0397522
+0.0391639
+0.0386909
+0.0383109
+0.0379223
+0.0372153
+0.0366079
+0.0361109
+0.0356947
+0.0353906
+0.0351981
+0.0351356
+0.0351848
+0.0353428
+0.0356098
+0.0360041
+0.0365045
+0.0371275
+0.0378301
+0.0386092
+0.0394941
+0.0404782
+0.041551
+0.0426942
+0.0439169
+0.0448717
+0.0435015
+0.0422006
+0.0409756
+0.0398335
+0.0387816
+0.0378274
+0.0369786
+0.0362403
+0.0356101
+0.0351055
+0.0347319
+0.0344938
+0.0343937
+0.0344331
+0.0345959
+0.0348844
+0.0353068
+0.0358471
+0.0365101
+0.0372902
+0.0381711
+0.0391263
+0.0400922
+0.0411471
+0.0422888
+0.0434994
+0.0447845
+0.0460241
+0.047332
+0.0487033
+0.0501329
+0.0516159
+0.0531479
+0.0547246
+0.0563424
+0.0579979
+0.0596065
+0.0610745
+0.0625716
+0.0791338
+0.0776634
+0.0761824
+0.0747055
+0.0732569
+0.0718459
+0.070399
+0.0689619
+0.0675652
+0.0662063
+0.0648432
+0.0634418
+0.062047
+0.0606986
+0.0594004
+0.0581557
+0.0568493
+0.0555778
+0.0543266
+0.0531094
+0.0518731
+0.0506498
+0.0494783
+0.0483712
+0.0472999
+0.0461909
+0.0451398
+0.0441725
+0.0432915
+0.0424758
+0.0416665
+0.0407142
+0.0398457
+0.0390598
+0.0383076
+0.037668
+0.0370521
+0.0365517
+0.0361622
+0.03584
+0.0351872
+0.0345441
+0.0340275
+0.0336057
+0.0332824
+0.0330808
+0.033016
+0.0330715
+0.0332455
+0.0335292
+0.0339419
+0.0344722
+0.0351314
+0.0358536
+0.0366741
+0.0376045
+0.0386368
+0.0397541
+0.0409474
+0.0422207
+0.043213
+0.0417885
+0.0404325
+0.0391522
+0.0379553
+0.0368498
+0.0358443
+0.0349473
+0.0341675
+0.0335009
+0.032964
+0.0325659
+0.0323117
+0.032205
+0.032247
+0.0324187
+0.0327265
+0.0331744
+0.0337478
+0.0344512
+0.035275
+0.036201
+0.0371512
+0.0381616
+0.0392684
+0.0404557
+0.0417196
+0.0430371
+0.0443248
+0.0456814
+0.0471008
+0.0485776
+0.0501066
+0.0516833
+0.0533034
+0.0549631
+0.0565143
+0.05798
+0.0594743
+0.0610106
+0.0775397
+0.0760385
+0.0745715
+0.0730885
+0.0716119
+0.0701679
+0.0687633
+0.0673063
+0.0658746
+0.0644855
+0.0631269
+0.0617636
+0.060355
+0.0589684
+0.0576312
+0.0563474
+0.0550993
+0.0537916
+0.0525243
+0.0512923
+0.0500693
+0.0488296
+0.0476265
+0.0464781
+0.0453849
+0.0443102
+0.0432134
+0.0422019
+0.041282
+0.0404493
+0.0396452
+0.0387447
+0.0378339
+0.0370275
+0.0362498
+0.0355732
+0.03495
+0.0344191
+0.0340188
+0.0336761
+0.0331641
+0.0324969
+0.0319499
+0.0315258
+0.0311857
+0.0309737
+0.0309045
+0.0309689
+0.0311585
+0.0314635
+0.0318969
+0.0324606
+0.0331514
+0.0339028
+0.0347693
+0.0357493
+0.0368337
+0.0379984
+0.0392452
+0.040572
+0.0416036
+0.0401219
+0.0387076
+0.0373683
+0.0361123
+0.0349486
+0.0338867
+0.0329365
+0.0321078
+0.0314028
+0.0308294
+0.0304034
+0.030131
+0.0300165
+0.0300615
+0.0302435
+0.0305732
+0.031049
+0.0316609
+0.0324096
+0.0332777
+0.0342306
+0.0351957
+0.0362606
+0.0374209
+0.0386599
+0.0399791
+0.0413311
+0.0426704
+0.0440779
+0.0455473
+0.0470728
+0.0486492
+0.0502716
+0.0519358
+0.0534229
+0.0548858
+0.056377
+0.0579126
+0.0594782
+0.0759753
+0.0744426
+0.0729435
+0.0714787
+0.069995
+0.0685187
+0.0670797
+0.0656821
+0.0642142
+0.0627884
+0.0614077
+0.0600494
+0.0586861
+0.0572693
+0.0558918
+0.0545672
+0.0532997
+0.0520309
+0.0507388
+0.0494765
+0.0482661
+0.0470368
+0.0457935
+0.0446094
+0.0434916
+0.0424146
+0.0413134
+0.0402542
+0.0392887
+0.0384195
+0.0376135
+0.0367943
+0.035843
+0.0349907
+0.0342085
+0.0334906
+0.0328594
+0.0322942
+0.0318698
+0.0315159
+0.0311528
+0.0304697
+0.0298857
+0.0294444
+0.0291028
+0.028879
+0.0288048
+0.0288793
+0.0290826
+0.0294158
+0.0298725
+0.0304737
+0.031193
+0.031983
+0.0329002
+0.0339342
+0.0350691
+0.0362901
+0.0375936
+0.0389767
+0.0400494
+0.038508
+0.0370321
+0.0356298
+0.0343102
+0.0330832
+0.0319594
+0.03095
+0.0300667
+0.0293183
+0.0287033
+0.0282452
+0.0279518
+0.0278283
+0.0278769
+0.0280707
+0.0284256
+0.0289332
+0.0295889
+0.0303886
+0.0313062
+0.0322546
+0.0332695
+0.0343941
+0.0356068
+0.0369067
+0.038278
+0.0396728
+0.0410661
+0.0425268
+0.044048
+0.0456236
+0.0472484
+0.0489173
+0.0503322
+0.0517921
+0.0532798
+0.0548146
+0.056381
+0.0579743
+0.0744241
+0.0728776
+0.0713457
+0.0698488
+0.0683826
+0.0669007
+0.065426
+0.0639924
+0.0625865
+0.0611227
+0.0597035
+0.058332
+0.0569742
+0.0556021
+0.054185
+0.0528178
+0.0515073
+0.0502581
+0.0489664
+0.0476902
+0.0464353
+0.0452229
+0.0439907
+0.0427663
+0.0416041
+0.0405055
+0.0394435
+0.0383327
+0.0373175
+0.0364052
+0.0355799
+0.0347797
+0.0338685
+0.0329737
+0.0321852
+0.0314227
+0.0307805
+0.0301787
+0.0297241
+0.0293603
+0.0291171
+0.0284535
+0.0278407
+0.027376
+0.027037
+0.0267996
+0.0267197
+0.026806
+0.0270249
+0.0273896
+0.0278733
+0.0285167
+0.0292594
+0.0301002
+0.031073
+0.0321635
+0.0333547
+0.0346362
+0.0359996
+0.0374416
+0.038557
+0.0369534
+0.0354128
+0.0339437
+0.0325559
+0.03126
+0.0300681
+0.028993
+0.0280481
+0.0272469
+0.0265876
+0.0260925
+0.0257746
+0.0256406
+0.0256933
+0.025901
+0.0262851
+0.0268295
+0.0275354
+0.0283859
+0.0293359
+0.0302998
+0.0313779
+0.0325623
+0.0338373
+0.0351945
+0.0366237
+0.0380683
+0.0395183
+0.041034
+0.0426085
+0.0442355
+0.0458459
+0.0472425
+0.0486977
+0.0501828
+0.0517167
+0.053284
+0.0548782
+0.0564955
+0.0728863
+0.0713264
+0.06978
+0.0682488
+0.0667544
+0.0652866
+0.0638048
+0.0623339
+0.0609063
+0.059491
+0.0580319
+0.0566199
+0.0552588
+0.0538982
+0.0525115
+0.0511024
+0.0497468
+0.0484522
+0.0472136
+0.0459063
+0.0446369
+0.0434021
+0.0421833
+0.0409473
+0.0397476
+0.0386135
+0.0375326
+0.0364416
+0.0353721
+0.0344091
+0.0335554
+0.0327621
+0.0319209
+0.0309762
+0.0301498
+0.0293707
+0.0286991
+0.0280747
+0.0275855
+0.0272102
+0.0269591
+0.0264288
+0.0258196
+0.0253181
+0.0249734
+0.0247395
+0.0246529
+0.0247529
+0.0249898
+0.0253849
+0.0259051
+0.0265961
+0.0273646
+0.0282619
+0.0292958
+0.0304431
+0.031699
+0.0330448
+0.0344711
+0.0359745
+0.037134
+0.0354661
+0.0338579
+0.0323182
+0.0308573
+0.0294869
+0.0282203
+0.0270719
+0.0260574
+0.0251929
+0.0244852
+0.0239466
+0.0235998
+0.0234534
+0.0235111
+0.023735
+0.0241524
+0.0247409
+0.0255046
+0.0264127
+0.0273586
+0.0283794
+0.0295278
+0.0307737
+0.0321137
+0.0335342
+0.035012
+0.0365172
+0.0380327
+0.0396062
+0.0412341
+0.0427685
+0.044154
+0.0456025
+0.0470858
+0.0486187
+0.0501871
+0.0517822
+0.0534034
+0.0550641
+0.0713827
+0.0697892
+0.0682288
+0.0666824
+0.0651521
+0.0636604
+0.0621908
+0.0607091
+0.0592423
+0.0578214
+0.0563959
+0.0549419
+0.0535381
+0.0521792
+0.0508165
+0.0494219
+0.0480216
+0.0466793
+0.045403
+0.0441476
+0.0428517
+0.041588
+0.0403788
+0.0391529
+0.0379129
+0.0367367
+0.0356314
+0.0345818
+0.0334571
+0.0324373
+0.0315347
+0.0307197
+0.029924
+0.0289998
+0.0281268
+0.0273381
+0.0266153
+0.0259851
+0.0254558
+0.0250672
+0.0247944
+0.0243786
+0.0238189
+0.0232842
+0.0229163
+0.0227039
+0.0226094
+0.0227255
+0.0229832
+0.0234125
+0.0239755
+0.0247148
+0.0255173
+0.0264772
+0.0275722
+0.0287866
+0.0301117
+0.0315253
+0.0330174
+0.034584
+0.0357736
+0.0340549
+0.0323766
+0.0307629
+0.0292243
+0.0277735
+0.0264248
+0.0251947
+0.0241013
+0.023164
+0.0223997
+0.0218096
+0.0214283
+0.0212669
+0.0213305
+0.0215741
+0.0220279
+0.0226716
+0.023497
+0.0244427
+0.0254049
+0.0265011
+0.0277177
+0.0290367
+0.0304453
+0.031917
+0.0334222
+0.0349348
+0.0365161
+0.0381398
+0.0396919
+0.0410669
+0.0425077
+0.0439891
+0.0455208
+0.0470904
+0.0486864
+0.050312
+0.0519791
+0.0536839
+0.0698974
+0.0682877
+0.0666922
+0.0651313
+0.0635849
+0.0620555
+0.0605668
+0.0590953
+0.0576137
+0.0561515
+0.054738
+0.0533011
+0.0518529
+0.0504583
+0.0490997
+0.0477369
+0.0463334
+0.0449433
+0.0436162
+0.0423609
+0.0410864
+0.0398032
+0.038547
+0.0373415
+0.0361153
+0.0348896
+0.0337414
+0.0326557
+0.031578
+0.0304954
+0.0295358
+0.0286992
+0.0279123
+0.0270565
+0.0261196
+0.0253272
+0.02455
+0.0239103
+0.0233373
+0.0229332
+0.0226347
+0.0223498
+0.0217667
+0.0212814
+0.0208864
+0.0206865
+0.0205962
+0.0207249
+0.0210136
+0.0214824
+0.0220946
+0.0228632
+0.0237285
+0.0247561
+0.0259174
+0.0272058
+0.0286042
+0.0300887
+0.0316486
+0.0332797
+0.0344604
+0.0327
+0.0309795
+0.0292889
+0.0276685
+0.0261315
+0.0246933
+0.0233722
+0.0221892
+0.0211674
+0.0203312
+0.0196845
+0.0192612
+0.0190815
+0.0191489
+0.0194198
+0.0199177
+0.0206274
+0.0215215
+0.0224637
+0.023493
+0.0246723
+0.0259647
+0.0273569
+0.0288227
+0.0303273
+0.031837
+0.0334212
+0.0350463
+0.0366184
+0.0379817
+0.0394135
+0.0408925
+0.0424228
+0.0439938
+0.045591
+0.0472215
+0.0488959
+0.0506096
+0.052359
+0.068319
+0.0668009
+0.0651929
+0.0635953
+0.0620338
+0.0604874
+0.0589591
+0.0574736
+0.056
+0.0545186
+0.0530616
+0.0516564
+0.0502068
+0.0487651
+0.0473808
+0.0460227
+0.0446599
+0.0432463
+0.0418677
+0.0405584
+0.0393275
+0.0380267
+0.0367544
+0.0355158
+0.034303
+0.0330728
+0.0318784
+0.0307639
+0.0297044
+0.0285894
+0.0275636
+0.0266744
+0.025874
+0.0250755
+0.0241432
+0.0232918
+0.0225085
+0.0218456
+0.0212335
+0.020811
+0.0204816
+0.0202965
+0.0197186
+0.0192992
+0.0188924
+0.0186712
+0.0186232
+0.0187654
+0.0190898
+0.0196071
+0.0202761
+0.0210768
+0.0220124
+0.0231073
+0.0243474
+0.0257146
+0.0271898
+0.0287474
+0.0303763
+0.0320704
+0.0332399
+0.0314111
+0.0296314
+0.0279092
+0.0262037
+0.0245752
+0.02304
+0.0216182
+0.0203334
+0.0192131
+0.0182877
+0.0175755
+0.0171
+0.0168973
+0.0169696
+0.0172747
+0.0178269
+0.0186131
+0.0195521
+0.0205117
+0.0216341
+0.0228961
+0.02427
+0.0257293
+0.0272325
+0.0287393
+0.0303271
+0.0319536
+0.0335493
+0.0348987
+0.0363199
+0.0377962
+0.0393249
+0.0408975
+0.042496
+0.0441321
+0.0458146
+0.0475385
+0.0492995
+0.0510592
+0.0667688
+0.0652221
+0.0637046
+0.0620985
+0.0604984
+0.0589364
+0.05739
+0.0558628
+0.054381
+0.0529051
+0.0514238
+0.0499726
+0.0485769
+0.0471129
+0.0456786
+0.0443062
+0.0429488
+0.0415859
+0.0401609
+0.0387958
+0.0375072
+0.0362702
+0.03497
+0.0337044
+0.0324972
+0.0312763
+0.0300417
+0.0288782
+0.0277842
+0.0267272
+0.0256269
+0.0246725
+0.0238454
+0.0230573
+0.0222071
+0.0212822
+0.0204977
+0.0197676
+0.0191492
+0.0186832
+0.0183374
+0.0182188
+0.0177037
+0.0172363
+0.0169227
+0.0167001
+0.0166829
+0.0168472
+0.0172073
+0.0178016
+0.018527
+0.0193736
+0.0203809
+0.0215553
+0.0228796
+0.0243295
+0.0258838
+0.0275154
+0.0292092
+0.0309649
+0.0319813
+0.0302262
+0.0283723
+0.0265697
+0.0248296
+0.0231219
+0.0214832
+0.0199506
+0.0185507
+0.0173155
+0.0162826
+0.0154891
+0.0149474
+0.0147152
+0.0147936
+0.0151424
+0.0157633
+0.0166346
+0.0175707
+0.0186129
+0.0198362
+0.0211864
+0.0226371
+0.0241378
+0.0256416
+0.0272338
+0.028862
+0.0304792
+0.0318187
+0.0332272
+0.0347002
+0.0362271
+0.0378015
+0.0394014
+0.041044
+0.0427358
+0.0444711
+0.0462451
+0.0479948
+0.0497742
+0.0652552
+0.0636718
+0.0621254
+0.0606085
+0.0590045
+0.0574018
+0.055839
+0.0542926
+0.0527668
+0.0512891
+0.0498106
+0.0483295
+0.0468849
+0.0454999
+0.0440196
+0.0425938
+0.0412345
+0.0398728
+0.0384998
+0.0370774
+0.0357285
+0.0344644
+0.0332054
+0.0319212
+0.030664
+0.029469
+0.0282529
+0.0270258
+0.0259006
+0.0248299
+0.0237344
+0.0227006
+0.0218313
+0.0210527
+0.0202495
+0.0193078
+0.0184881
+0.0177167
+0.0170863
+0.0165677
+0.0162056
+0.0160726
+0.0156595
+0.0152093
+0.0149653
+0.0147909
+0.0147851
+0.0149887
+0.0154059
+0.0160669
+0.0168689
+0.0177767
+0.018859
+0.0201224
+0.0215351
+0.0230696
+0.0247032
+0.0264017
+0.028162
+0.0299791
+0.0306722
+0.029158
+0.0272315
+0.0253479
+0.0235175
+0.0217539
+0.0200451
+0.0183932
+0.0168644
+0.0154954
+0.014332
+0.0134276
+0.0128078
+0.012536
+0.0126227
+0.0130226
+0.0137388
+0.014667
+0.0156219
+0.0167854
+0.0181077
+0.0195469
+0.0210426
+0.0225441
+0.0241417
+0.0257721
+0.0274152
+0.0287416
+0.0301355
+0.0316047
+0.0331293
+0.0347059
+0.0363075
+0.0379575
+0.0396599
+0.0414083
+0.0431782
+0.0449347
+0.0467059
+0.0484376
+0.0637336
+0.0621601
+0.060575
+0.0590287
+0.0575126
+0.0559109
+0.0543053
+0.0527418
+0.0511954
+0.049671
+0.048198
+0.0467165
+0.0452357
+0.0437986
+0.0424038
+0.040927
+0.0395111
+0.0381521
+0.0367903
+0.0354074
+0.0339966
+0.0326669
+0.0314324
+0.0301474
+0.0288789
+0.0276364
+0.0264337
+0.0252133
+0.0240285
+0.0229174
+0.0218976
+0.0207726
+0.0198259
+0.0190146
+0.0182236
+0.0173817
+0.0164809
+0.0157036
+0.0150447
+0.0144747
+0.0140919
+0.0139404
+0.0136547
+0.0132065
+0.0129763
+0.0128946
+0.012977
+0.0132323
+0.0137182
+0.0144396
+0.0153345
+0.0163061
+0.0174797
+0.0188359
+0.0203381
+0.0219564
+0.0236667
+0.0254276
+0.0272509
+0.0291249
+0.029468
+0.0281514
+0.0262244
+0.0242627
+0.0223436
+0.0204792
+0.0186856
+0.0169761
+0.0153065
+0.0137836
+0.0124613
+0.0114097
+0.0106889
+0.0103616
+0.0104601
+0.0109301
+0.0117574
+0.0126814
+0.0137459
+0.015037
+0.0164596
+0.0179461
+0.0194467
+0.0210515
+0.0226843
+0.0243598
+0.0256658
+0.0270454
+0.0285096
+0.0300315
+0.0316107
+0.0332143
+0.0348731
+0.0365879
+0.0383511
+0.040109
+0.0418797
+0.0436311
+0.0453745
+0.0471551
+0.0622174
+0.0606373
+0.0590653
+0.0574784
+0.0559323
+0.054417
+0.0528179
+0.051209
+0.0496446
+0.0480982
+0.0465755
+0.0451079
+0.043623
+0.0421425
+0.0407141
+0.0393079
+0.0378354
+0.036431
+0.0350725
+0.0337106
+0.0323161
+0.0309192
+0.0296129
+0.0283973
+0.027098
+0.0258298
+0.0246264
+0.0234146
+0.02219
+0.0210498
+0.0199656
+0.0189019
+0.0178571
+0.0170144
+0.0162405
+0.0154692
+0.0145148
+0.0137449
+0.0130047
+0.0124154
+0.0120058
+0.0118294
+0.0116996
+0.0112155
+0.011027
+0.0110125
+0.0112465
+0.0116172
+0.0121659
+0.0129607
+0.0139508
+0.0150122
+0.0162794
+0.0177276
+0.0193162
+0.0210134
+0.0227866
+0.0246105
+0.0264901
+0.0284143
+0.0283783
+0.027011
+0.0253367
+0.023319
+0.0213307
+0.019369
+0.0174618
+0.0156291
+0.0139005
+0.0122256
+0.0107127
+0.00946879
+0.00860598
+0.00819593
+0.00830836
+0.00888512
+0.00979513
+0.0107401
+0.0119742
+0.0133774
+0.0148502
+0.0163496
+0.0179561
+0.0195999
+0.0213134
+0.0225959
+0.0239573
+0.0254154
+0.0269338
+0.0285162
+0.0301221
+0.0317913
+0.0335206
+0.0353011
+0.0370447
+0.0388315
+0.04056
+0.0423164
+0.044093
+0.0458417
+0.0607124
+0.0591215
+0.0575413
+0.0559709
+0.0543819
+0.052836
+0.0513217
+0.0497254
+0.0481129
+0.0465476
+0.0450012
+0.0434805
+0.0420189
+0.0405303
+0.0390501
+0.0376319
+0.0362121
+0.0347449
+0.0333543
+0.0319965
+0.0306346
+0.0292262
+0.0278463
+0.0265691
+0.0253322
+0.0240492
+0.0227918
+0.021614
+0.0204185
+0.0191905
+0.0180674
+0.0170553
+0.0159453
+0.0150112
+0.0142301
+0.0134369
+0.012617
+0.0117531
+0.0110018
+0.0103999
+0.00996468
+0.00974648
+0.00975496
+0.00928244
+0.00912277
+0.00922869
+0.0095822
+0.0101387
+0.0108167
+0.0117071
+0.0127945
+0.0139443
+0.0153001
+0.0168328
+0.0184984
+0.0202642
+0.0220894
+0.0239664
+0.0258928
+0.0278583
+0.0274115
+0.0259931
+0.0246059
+0.0225228
+0.0204623
+0.0184318
+0.0164394
+0.0144786
+0.012593
+0.0108229
+0.00915634
+0.0076638
+0.00657474
+0.00604588
+0.00617289
+0.00691054
+0.0078029
+0.0089136
+0.0103044
+0.0117555
+0.013253
+0.014859
+0.0165205
+0.0182382
+0.0195272
+0.0208721
+0.0223222
+0.0238362
+0.0254207
+0.0270313
+0.028713
+0.0304595
+0.0322288
+0.0339864
+0.0357683
+0.0374932
+0.0392646
+0.0410294
+0.0427912
+0.0445877
+0.0592501
+0.0576189
+0.0560258
+0.0544455
+0.0528769
+0.0512856
+0.0497399
+0.0482267
+0.0466338
+0.0450171
+0.0434507
+0.0419044
+0.0403858
+0.0389302
+0.0374384
+0.0359587
+0.0345524
+0.0331164
+0.0316558
+0.0302819
+0.028925
+0.0275636
+0.0261383
+0.0247795
+0.0235395
+0.0222741
+0.0210114
+0.0197725
+0.0185893
+0.0173894
+0.0162257
+0.0151231
+0.0141149
+0.0130546
+0.0122319
+0.0114631
+0.0107954
+0.00982428
+0.00908604
+0.00844755
+0.00799696
+0.00769287
+0.00770693
+0.00744335
+0.0073332
+0.00756933
+0.00807845
+0.0088684
+0.00968796
+0.0107387
+0.011917
+0.0131574
+0.0145866
+0.016187
+0.0179098
+0.0197023
+0.0215647
+0.0234837
+0.0254467
+0.0274442
+0.0265904
+0.0251251
+0.0237364
+0.0219176
+0.0197941
+0.0176871
+0.0156031
+0.0135528
+0.0115526
+0.00959651
+0.00776158
+0.00611621
+0.00467989
+0.00390905
+0.00409619
+0.00497594
+0.00588605
+0.00724829
+0.00866326
+0.0101573
+0.0117625
+0.0134498
+0.0151671
+0.0164654
+0.0177915
+0.0192292
+0.0207388
+0.0223258
+0.0239424
+0.0256396
+0.0274068
+0.0291592
+0.0309361
+0.0326924
+0.0344321
+0.0362207
+0.0379715
+0.039748
+0.0415555
+0.0433936
+0.0578339
+0.0561615
+0.0545259
+0.0529304
+0.0513499
+0.0497834
+0.0481895
+0.0466442
+0.0451321
+0.043543
+0.0419216
+0.040354
+0.0388078
+0.0372918
+0.0358342
+0.0343437
+0.0328685
+0.0314767
+0.0300207
+0.0285688
+0.0272092
+0.0258495
+0.0244792
+0.0230531
+0.0217215
+0.0205214
+0.0192248
+0.0179765
+0.0167818
+0.0155902
+0.0143898
+0.0132533
+0.012238
+0.0111803
+0.0102736
+0.0095472
+0.00877443
+0.00798647
+0.00721159
+0.0065557
+0.00606717
+0.005741
+0.0057629
+0.00568782
+0.0056181
+0.00592257
+0.0066986
+0.00779957
+0.00891865
+0.0100862
+0.0113326
+0.0126892
+0.0141471
+0.0157755
+0.0175268
+0.0193545
+0.0212473
+0.0231927
+0.0251784
+0.0271955
+0.0259199
+0.0244197
+0.0229916
+0.0215193
+0.0193522
+0.017191
+0.0150385
+0.0128987
+0.0107795
+0.00869577
+0.00668057
+0.00474834
+0.00313086
+0.00188495
+0.00215083
+0.00298805
+0.00419973
+0.00557748
+0.00706378
+0.00866722
+0.010368
+0.0121035
+0.0134203
+0.0147146
+0.0161323
+0.0176416
+0.0192319
+0.0208563
+0.0225728
+0.0243605
+0.0260964
+0.0278964
+0.0296212
+0.0313782
+0.0331749
+0.0349206
+0.0367112
+0.0385338
+0.0403751
+0.0422347
+0.0564605
+0.0547531
+0.053074
+0.0514335
+0.0498353
+0.0482547
+0.0466904
+0.0450937
+0.0435487
+0.0420381
+0.0404534
+0.0388266
+0.0372576
+0.0357114
+0.0341985
+0.0327385
+0.0312474
+0.02978
+0.0284037
+0.0269249
+0.0254844
+0.0241252
+0.0227653
+0.0213931
+0.0199719
+0.0186766
+0.0174553
+0.0161939
+0.0149476
+0.0138065
+0.0126263
+0.0114385
+0.0103319
+0.00934688
+0.00836434
+0.00757998
+0.00682755
+0.00620364
+0.00538686
+0.00471782
+0.00421743
+0.00390609
+0.00395207
+0.00402882
+0.00399802
+0.00451412
+0.00551561
+0.00690954
+0.00851716
+0.00983224
+0.0111551
+0.0125311
+0.0140055
+0.0156486
+0.0174126
+0.0192512
+0.0211533
+0.0231066
+0.0250991
+0.0269763
+0.0253716
+0.023837
+0.022405
+0.021079
+0.0191521
+0.0169655
+0.0147802
+0.0125966
+0.0104161
+0.00824099
+0.00607706
+0.00394281
+0.00193882
+0.000462288
+0.000471173
+0.00130574
+0.0025134
+0.00397728
+0.00557499
+0.00728655
+0.00906188
+0.0103973
+0.0116425
+0.013036
+0.0145448
+0.0161387
+0.0177742
+0.019516
+0.0212836
+0.023043
+0.0248446
+0.0265562
+0.0283339
+0.0301162
+0.0318788
+0.0336824
+0.0355252
+0.0373695
+0.0392493
+0.0411598
+0.0550697
+0.0533756
+0.0516743
+0.0499879
+0.0483419
+0.0467407
+0.0451599
+0.0435983
+0.0419983
+0.0404537
+0.0389447
+0.0373652
+0.0357321
+0.0341612
+0.0326153
+0.0311061
+0.0296434
+0.0281516
+0.0266937
+0.0253301
+0.0238293
+0.0224038
+0.0210454
+0.0196856
+0.0183111
+0.0168969
+0.0156514
+0.0143942
+0.0131811
+0.0119518
+0.0108242
+0.00968758
+0.00853563
+0.00752633
+0.0065703
+0.00569212
+0.00506017
+0.00438709
+0.00369447
+0.00317019
+0.00268836
+0.00235341
+0.00238739
+0.002356
+0.00252146
+0.00327007
+0.00453414
+0.00619828
+0.0080297
+0.00991341
+0.0113337
+0.012753
+0.0142044
+0.0158269
+0.017573
+0.0193964
+0.0212855
+0.0232277
+0.0252106
+0.0266167
+0.0250039
+0.0234453
+0.0219878
+0.0206491
+0.0192015
+0.0170213
+0.0148441
+0.0126716
+0.0105067
+0.00835522
+0.00623108
+0.00417619
+0.00225866
+0.000843537
+-0.000199019
+-0.00028262
+0.000924088
+0.00249274
+0.00421743
+0.00602575
+0.00740211
+0.00857883
+0.00994085
+0.0114487
+0.0130456
+0.0146983
+0.0164746
+0.0182138
+0.0200034
+0.0217685
+0.0235
+0.0253027
+0.0270664
+0.0288469
+0.0306673
+0.0325143
+0.0343803
+0.0362827
+0.038216
+0.0401646
+0.0537017
+0.051993
+0.0502924
+0.048598
+0.0469033
+0.0452512
+0.0436465
+0.0420656
+0.040507
+0.0389033
+0.0373592
+0.0358522
+0.0342738
+0.0326381
+0.0310649
+0.0295197
+0.028015
+0.026549
+0.0250562
+0.0236105
+0.0222392
+0.0207342
+0.0193288
+0.0179719
+0.0166128
+0.0152194
+0.0138322
+0.0126438
+0.0113531
+0.0101929
+0.00898632
+0.00787556
+0.00680618
+0.00572287
+0.00482775
+0.00399989
+0.00345996
+0.00281982
+0.00233447
+0.00201457
+0.00181106
+0.00119388
+0.00118149
+0.000809976
+0.000904746
+0.0017269
+0.00328484
+0.00512045
+0.00710061
+0.00917434
+0.0112822
+0.0132197
+0.0146994
+0.0163003
+0.0180006
+0.0197846
+0.0216398
+0.0235528
+0.0255104
+0.0264127
+0.0248147
+0.0232542
+0.021784
+0.0204319
+0.0192323
+0.0173556
+0.0152264
+0.0131173
+0.0110398
+0.00900243
+0.00702689
+0.00520625
+0.00361917
+0.00229273
+0.000743471
+-0.00120084
+-0.000563768
+0.00117929
+0.00301284
+0.00445012
+0.00553005
+0.00684834
+0.00835397
+0.00995254
+0.0116324
+0.0134349
+0.0151556
+0.0169849
+0.0186997
+0.0204563
+0.0222899
+0.0240289
+0.0258248
+0.0276707
+0.0295212
+0.0314123
+0.0333402
+0.0352869
+0.0372097
+0.0391291
+0.0521959
+0.0506074
+0.0489155
+0.047211
+0.0455247
+0.0438206
+0.0421615
+0.0405529
+0.0389719
+0.0374169
+0.0358088
+0.0342653
+0.0327607
+0.0311797
+0.0295445
+0.0279686
+0.0264246
+0.0249256
+0.0234556
+0.0219617
+0.0205318
+0.0191411
+0.0176403
+0.0162626
+0.0149018
+0.0135514
+0.0121265
+0.0107864
+0.00960143
+0.00835396
+0.00719188
+0.00609871
+0.0050325
+0.00408352
+0.00324729
+0.00259145
+0.0021072
+0.0015513
+0.00104434
+0.000938271
+0.000278123
+4.23629e-05
+0.000140833
+-0.000552737
+-0.000296382
+0.000518011
+0.00240523
+0.00451542
+0.00667747
+0.00885361
+0.0110265
+0.0131931
+0.0153665
+0.0169539
+0.0186264
+0.0203783
+0.0222014
+0.0240737
+0.0259921
+0.0256744
+0.0242941
+0.0230396
+0.0217984
+0.0204484
+0.0192525
+0.0179484
+0.0158847
+0.0138585
+0.0118909
+0.010007
+0.00824375
+0.00666014
+0.0052785
+0.00365677
+0.00178573
+0.000101785
+-0.00125693
+1.62626e-05
+0.00160158
+0.00252615
+0.00376462
+0.00526328
+0.00686055
+0.00858735
+0.0103558
+0.0121177
+0.0139342
+0.0156424
+0.0174318
+0.0192485
+0.0210079
+0.0228231
+0.0246776
+0.0265523
+0.028472
+0.0304159
+0.0323533
+0.0342645
+0.0362075
+0.0381462
+0.05074
+0.0491044
+0.0475136
+0.0458408
+0.0441321
+0.0424537
+0.0407402
+0.0390732
+0.0374601
+0.0358789
+0.0343283
+0.032715
+0.0311722
+0.0296705
+0.0280864
+0.0264517
+0.0248723
+0.0233304
+0.0218388
+0.0203636
+0.0188683
+0.017457
+0.0160431
+0.0145481
+0.0131882
+0.0118353
+0.0104909
+0.0090372
+0.0077714
+0.00654963
+0.00539212
+0.00424175
+0.00329409
+0.00243405
+0.00181882
+0.00123923
+0.00057485
+6.72176e-06
+-0.000295103
+-0.000883499
+-0.0011159
+-0.0007153
+-0.00088174
+-0.00166588
+-0.00129609
+-3.37517e-05
+0.00207105
+0.00420382
+0.00635962
+0.00848198
+0.0105653
+0.0126848
+0.0148206
+0.0169617
+0.0191088
+0.0211179
+0.0228821
+0.0247146
+0.0264878
+0.0249606
+0.0235386
+0.0222415
+0.0210613
+0.0200493
+0.0192344
+0.0183817
+0.0167678
+0.0148615
+0.0130267
+0.0112989
+0.00972675
+0.00833944
+0.0066591
+0.00476101
+0.00278304
+0.000914047
+-0.000380166
+-0.000837513
+-0.000413991
+0.000686384
+0.00218011
+0.00377792
+0.00559911
+0.00729265
+0.00912044
+0.0109032
+0.012605
+0.0144385
+0.016221
+0.0180033
+0.0198511
+0.0217095
+0.0236165
+0.0255554
+0.0274959
+0.0294113
+0.0313488
+0.0332926
+0.0351656
+0.0370673
+0.049337
+0.0476548
+0.0460139
+0.0444204
+0.0427608
+0.041056
+0.0393683
+0.0376628
+0.0359866
+0.0343682
+0.0327869
+0.0312404
+0.0296221
+0.0280803
+0.0265821
+0.0249933
+0.0233598
+0.0217763
+0.0202373
+0.0187556
+0.0172737
+0.0157767
+0.0143798
+0.012945
+0.0114591
+0.0100994
+0.00874784
+0.00740648
+0.00595706
+0.00477819
+0.00354533
+0.00251212
+0.00148533
+0.000815038
+0.000191834
+-0.000489684
+-0.0010782
+-0.000763958
+-0.000754624
+-0.00194104
+-0.00113111
+-0.000733246
+-0.00175595
+-0.00200206
+-0.00228863
+-0.000556169
+0.00152533
+0.00366064
+0.00580001
+0.00795542
+0.0101104
+0.0122732
+0.0144444
+0.0165837
+0.0186917
+0.0208169
+0.0229543
+0.025101
+0.0259819
+0.0244232
+0.0229679
+0.0216367
+0.0204215
+0.0193761
+0.0185317
+0.0179168
+0.0175556
+0.0160761
+0.0143725
+0.0127426
+0.0107202
+0.00871418
+0.00671547
+0.00476905
+0.00294589
+0.00117219
+-0.00031604
+-0.00156362
+-0.00220338
+-0.000874523
+0.000749864
+0.00255281
+0.00428012
+0.00607478
+0.00786739
+0.00960648
+0.011479
+0.0132243
+0.0150361
+0.0168989
+0.0187833
+0.0207129
+0.0226445
+0.024576
+0.0265049
+0.0284544
+0.0303097
+0.032203
+0.034121
+0.0360412
+0.0479231
+0.0462541
+0.0445714
+0.0429244
+0.041328
+0.0396762
+0.0379816
+0.0362852
+0.0345891
+0.0329021
+0.0312776
+0.0296962
+0.0281502
+0.0265304
+0.0249899
+0.0234952
+0.0219002
+0.0202695
+0.0186809
+0.017146
+0.0156783
+0.0141875
+0.0126884
+0.011314
+0.0098469
+0.00837677
+0.00701891
+0.00567202
+0.00432567
+0.00291481
+0.0018391
+0.000730795
+-4.67397e-05
+-0.000664062
+-0.00144046
+-0.000692986
+0.000211101
+0.000375094
+-0.0011794
+-0.000413911
+0.000722345
+0.000300132
+-0.000437526
+-0.000136447
+-0.00165173
+-0.000532336
+0.00134352
+0.00345384
+0.00560445
+0.00776655
+0.00981269
+0.0119104
+0.0140365
+0.0161798
+0.0183344
+0.0204913
+0.0226306
+0.024779
+0.0256538
+0.0240739
+0.0225961
+0.0212415
+0.0200024
+0.0189338
+0.0180688
+0.0174376
+0.0170663
+0.0164844
+0.0145356
+0.0125613
+0.0106216
+0.00865871
+0.00671881
+0.00487861
+0.0032583
+0.0019798
+0.000550604
+-0.000905044
+-0.0021069
+-0.00177502
+-0.000432099
+0.00131679
+0.00310621
+0.00490807
+0.00669677
+0.00852192
+0.0102791
+0.0121346
+0.0139918
+0.0159047
+0.0178188
+0.0197719
+0.0216855
+0.0236341
+0.0254701
+0.0273504
+0.0292589
+0.0311768
+0.0331047
+0.0350178
+0.0465488
+0.0448439
+0.0431705
+0.0414902
+0.0398363
+0.0382364
+0.0365937
+0.0349061
+0.0332048
+0.0315201
+0.0298204
+0.0281886
+0.0266072
+0.0250621
+0.0234404
+0.0219017
+0.0204102
+0.0188078
+0.017182
+0.0155866
+0.0140578
+0.0126012
+0.0111039
+0.00960629
+0.00827237
+0.00674886
+0.00531291
+0.0039487
+0.00262738
+0.00129301
+4.23295e-05
+-0.000758168
+-0.0015095
+-0.000575192
+0.00037514
+0.00118549
+0.00139967
+0.000214412
+0.000317693
+0.00127689
+0.00233116
+0.00079325
+0.000704444
+0.000822029
+-0.000521174
+-0.000116507
+0.00151406
+0.00342463
+0.00542355
+0.00746902
+0.00957893
+0.0117185
+0.0138391
+0.0159681
+0.0181118
+0.0202655
+0.0224264
+0.0245926
+0.0254551
+0.0239194
+0.022433
+0.0210553
+0.0198021
+0.018722
+0.0178467
+0.0172074
+0.016831
+0.0162841
+0.01437
+0.012477
+0.0106978
+0.00891026
+0.00721242
+0.00558318
+0.00433243
+0.00311168
+0.00173654
+0.000359216
+-0.000452789
+-0.00126148
+-0.000959623
+0.000586922
+0.00217548
+0.00395214
+0.00568638
+0.00743248
+0.00927064
+0.0111498
+0.0130476
+0.0150064
+0.0169116
+0.0188161
+0.0206584
+0.0225162
+0.0244114
+0.0263251
+0.0282496
+0.0301711
+0.0321095
+0.0340785
+0.0451499
+0.0434749
+0.0417676
+0.0400892
+0.0384117
+0.0367498
+0.035146
+0.0335142
+0.031835
+0.0301281
+0.0284574
+0.0267425
+0.0251018
+0.0235205
+0.0219767
+0.0203528
+0.0188167
+0.017329
+0.0157178
+0.0140992
+0.012494
+0.0109751
+0.00952887
+0.00802266
+0.00653304
+0.00519432
+0.00365091
+0.00227264
+0.000864637
+-0.000392346
+-0.0012949
+-0.00120838
+0.000115037
+0.00127662
+0.00218794
+0.00241275
+0.00161743
+0.00122066
+0.00199321
+0.00298356
+0.00266771
+0.00172165
+0.00191859
+0.00164394
+0.000470598
+0.000719887
+0.00191418
+0.00366932
+0.00558838
+0.0076485
+0.00968475
+0.0117383
+0.0138004
+0.0158964
+0.018015
+0.020149
+0.022294
+0.0244353
+0.0250508
+0.0235577
+0.0221809
+0.0209431
+0.0198121
+0.0187326
+0.0178578
+0.0172189
+0.0168428
+0.0162651
+0.0143602
+0.0125164
+0.0107997
+0.00922034
+0.00779056
+0.00650529
+0.00561862
+0.00438367
+0.00302137
+0.00171447
+0.000579857
+0.000481293
+-0.00087565
+-0.000331833
+0.00150364
+0.0030912
+0.00477111
+0.00657734
+0.00837883
+0.0102725
+0.0121473
+0.0140178
+0.0158646
+0.0177154
+0.0195893
+0.0214946
+0.0234062
+0.0253443
+0.0272739
+0.0292403
+0.0312366
+0.0331746
+0.0437912
+0.0420789
+0.0403955
+0.0386947
+0.0370107
+0.035336
+0.0336655
+0.0320571
+0.0304385
+0.0287697
+0.0270563
+0.0253832
+0.02367
+0.0220183
+0.0204374
+0.0188956
+0.017269
+0.0157369
+0.014255
+0.0126317
+0.0110249
+0.00940495
+0.00789653
+0.00645567
+0.00495518
+0.0034496
+0.00211214
+0.000554164
+-0.000804382
+-0.00195553
+-0.00104734
+0.000403171
+0.0018568
+0.00308613
+0.00365663
+0.0027587
+0.00242565
+0.00267803
+0.00351602
+0.00459504
+0.00341939
+0.00305032
+0.00339277
+0.00261538
+0.00152322
+0.00157461
+0.00250631
+0.00416626
+0.00594719
+0.00776921
+0.00970359
+0.0117154
+0.0137674
+0.0158302
+0.0179234
+0.0200374
+0.0221663
+0.0242928
+0.0248338
+0.0233269
+0.0219356
+0.0206832
+0.0195668
+0.0186231
+0.0178992
+0.0174223
+0.0171369
+0.0163507
+0.0145622
+0.0127897
+0.0111431
+0.00966501
+0.00848913
+0.00743881
+0.0067313
+0.00566315
+0.00448869
+0.00309882
+0.00170173
+0.00114875
+0.000651885
+-0.00114073
+0.000279338
+0.00209788
+0.00391406
+0.00573571
+0.00751904
+0.00929284
+0.0111333
+0.012979
+0.0148174
+0.0167039
+0.0185918
+0.020534
+0.0224655
+0.0244261
+0.026422
+0.0283449
+0.030296
+0.0322779
+0.0424656
+0.0407266
+0.039011
+0.0373191
+0.0356262
+0.0339358
+0.0322619
+0.030584
+0.0289702
+0.0273678
+0.0256883
+0.0239886
+0.0223033
+0.020605
+0.0189394
+0.0173595
+0.015821
+0.0141915
+0.0126627
+0.0111944
+0.00955331
+0.00796903
+0.00632441
+0.00482552
+0.00340985
+0.00194369
+0.000436602
+-0.000913019
+-0.00229241
+-0.000871573
+0.000577765
+0.00204781
+0.00349777
+0.00486843
+0.00401992
+0.00349116
+0.00367207
+0.00425922
+0.00515106
+0.0053217
+0.0045236
+0.00430339
+0.00482469
+0.00363756
+0.00274201
+0.00274261
+0.00329381
+0.00453079
+0.0061376
+0.00795624
+0.00983329
+0.0117762
+0.0137861
+0.0158407
+0.0178681
+0.0199301
+0.022017
+0.024109
+0.0247878
+0.0232784
+0.0218844
+0.0206294
+0.019498
+0.0185509
+0.017824
+0.0173451
+0.017135
+0.0165383
+0.014816
+0.0131743
+0.0116843
+0.0103731
+0.00926891
+0.00846194
+0.00803623
+0.00713873
+0.00586434
+0.00417411
+0.00280901
+0.00173411
+0.0014851
+4.05129e-05
+-0.000853545
+0.000916627
+0.00273906
+0.00458652
+0.0064974
+0.00834155
+0.0101519
+0.0120004
+0.0138337
+0.0157405
+0.0177067
+0.0196536
+0.0216384
+0.0235436
+0.0254857
+0.0274653
+0.0294747
+0.0314495
+0.0411721
+0.0394087
+0.0376676
+0.0359482
+0.0342467
+0.0325632
+0.0308632
+0.0291923
+0.0275062
+0.0258849
+0.024304
+0.0226092
+0.0209206
+0.0192293
+0.0175517
+0.0158681
+0.0142905
+0.0127578
+0.011113
+0.00958967
+0.00813424
+0.00648958
+0.00496534
+0.00327666
+0.00184726
+0.000481356
+-0.000796157
+-0.00200233
+-0.000598831
+0.000788791
+0.00221946
+0.00366887
+0.00514395
+0.00552242
+0.0048714
+0.00463119
+0.00507839
+0.00588866
+0.00685579
+0.00617676
+0.00570215
+0.00577876
+0.00620484
+0.0047712
+0.00383584
+0.00365335
+0.00415524
+0.00521366
+0.00666292
+0.00833258
+0.0100368
+0.0118791
+0.013785
+0.0157633
+0.0177867
+0.0198094
+0.0218422
+0.0238939
+0.0249268
+0.0234263
+0.0220418
+0.0207963
+0.0196745
+0.0187362
+0.0180168
+0.0175432
+0.0173355
+0.016726
+0.0151863
+0.0136756
+0.0123025
+0.0111264
+0.010099
+0.00945077
+0.00919778
+0.0081267
+0.0071047
+0.00548049
+0.00401791
+0.00282047
+0.00208965
+0.00122668
+-0.000549199
+-0.000180944
+0.00161222
+0.00348585
+0.00539028
+0.00725869
+0.0091296
+0.0110397
+0.0129582
+0.0148874
+0.0168481
+0.0187743
+0.0207168
+0.0226455
+0.0245851
+0.0265571
+0.0284994
+0.0304736
+0.0399379
+0.0381374
+0.0363588
+0.0346156
+0.032892
+0.0311793
+0.0295029
+0.0277934
+0.026128
+0.0244336
+0.022802
+0.0212271
+0.0195362
+0.0178631
+0.0161646
+0.0145048
+0.0128025
+0.0112374
+0.00971676
+0.00804896
+0.0065324
+0.00509087
+0.00343933
+0.00209669
+0.0004441
+-0.000709145
+-0.00160681
+-0.000419086
+0.00103984
+0.00244914
+0.00388082
+0.0053108
+0.00675863
+0.00611136
+0.00593536
+0.00601652
+0.00651385
+0.00745673
+0.00782791
+0.00709497
+0.00681893
+0.00699212
+0.00709553
+0.00581075
+0.00493989
+0.00466266
+0.00493848
+0.00578038
+0.00708492
+0.00854379
+0.0102029
+0.0119927
+0.0138568
+0.0157828
+0.017725
+0.0197148
+0.0216622
+0.0236389
+0.0252554
+0.0237753
+0.0224118
+0.0211875
+0.0200897
+0.0191718
+0.0184693
+0.0180076
+0.0178053
+0.0169239
+0.015408
+0.0140705
+0.0128982
+0.0118786
+0.0111235
+0.010568
+0.0102367
+0.00923889
+0.00841432
+0.00679291
+0.00520814
+0.00374879
+0.00282476
+0.00250516
+0.00078015
+-0.000970116
+0.000595628
+0.00241422
+0.00428319
+0.00618662
+0.00807783
+0.0100064
+0.0119723
+0.0138927
+0.0158535
+0.0177621
+0.0196953
+0.0216674
+0.0236037
+0.0255805
+0.0275803
+0.0295606
+0.0387106
+0.0369109
+0.0351137
+0.0333178
+0.0315718
+0.0298408
+0.0281186
+0.0264437
+0.0247307
+0.023059
+0.0213682
+0.0197229
+0.0181473
+0.0164725
+0.0148222
+0.0131155
+0.0114695
+0.00975023
+0.00819216
+0.00667642
+0.00502395
+0.0035326
+0.00210784
+0.000578741
+-0.000626506
+-0.0014175
+-0.000349314
+0.00116195
+0.00266671
+0.00413135
+0.00553017
+0.00697333
+0.00752763
+0.00714933
+0.00710404
+0.00755721
+0.00811991
+0.00901155
+0.00878138
+0.00824193
+0.00810325
+0.00839605
+0.00800711
+0.00672951
+0.0058825
+0.00563272
+0.00592838
+0.00660489
+0.00759748
+0.0089313
+0.0105274
+0.0122298
+0.0139516
+0.0157198
+0.0175657
+0.0194494
+0.021226
+0.0229666
+0.0247589
+0.0243121
+0.0229805
+0.0217882
+0.0207293
+0.019841
+0.0191631
+0.0187185
+0.018524
+0.0171997
+0.0158361
+0.0145719
+0.0135157
+0.0127055
+0.012012
+0.0116392
+0.0114018
+0.0104371
+0.00969475
+0.00785833
+0.00618843
+0.00478281
+0.00366469
+0.0030759
+0.00204536
+0.00018537
+-0.000437343
+0.00144816
+0.00325277
+0.00514502
+0.00710637
+0.00901861
+0.0109848
+0.0128903
+0.0148113
+0.0167772
+0.0187095
+0.02069
+0.0226937
+0.0246772
+0.0266894
+0.028714
+0.0375477
+0.0356976
+0.033888
+0.0320958
+0.0302884
+0.0285252
+0.0267927
+0.0250652
+0.0233904
+0.021678
+0.0199989
+0.0183103
+0.0166493
+0.015075
+0.0134247
+0.0117943
+0.0100823
+0.00846773
+0.00673995
+0.00519181
+0.00367819
+0.0021019
+0.000759942
+-0.00055418
+-0.00107654
+-0.000316972
+0.00100878
+0.00257216
+0.0042326
+0.00575714
+0.00722646
+0.0085589
+0.00814937
+0.00831672
+0.00846395
+0.00895024
+0.00975877
+0.0101341
+0.00956557
+0.00933464
+0.00934567
+0.0097021
+0.00891734
+0.00773013
+0.00690571
+0.00655515
+0.0067454
+0.00737894
+0.00816185
+0.00925188
+0.0106563
+0.0122448
+0.0138543
+0.015492
+0.0171593
+0.018807
+0.0205036
+0.0222787
+0.0241221
+0.0247924
+0.023691
+0.0225655
+0.0215489
+0.0207148
+0.0200731
+0.0192198
+0.0180902
+0.0170981
+0.0161525
+0.0151188
+0.0142019
+0.0134657
+0.0129189
+0.0127073
+0.0125403
+0.0116344
+0.010626
+0.00890034
+0.00729902
+0.00584626
+0.00453659
+0.00372333
+0.00314643
+0.00131486
+-0.00050397
+0.00045814
+0.00230057
+0.00417207
+0.00613772
+0.00805081
+0.00994151
+0.0119042
+0.0138183
+0.0158045
+0.0178137
+0.0198013
+0.0218178
+0.0238295
+0.0258659
+0.0279016
+0.0364643
+0.0345718
+0.0327004
+0.0308706
+0.0290777
+0.0272744
+0.025491
+0.0237576
+0.0220241
+0.0203375
+0.0186395
+0.0169528
+0.0152648
+0.0135857
+0.012016
+0.0103724
+0.00876228
+0.00705941
+0.00547182
+0.00380018
+0.00232134
+0.000938434
+-0.000160349
+-0.000796835
+-0.000207657
+0.00115347
+0.00257813
+0.00405461
+0.00563855
+0.00732079
+0.00885205
+0.00932998
+0.00913656
+0.00926791
+0.00981786
+0.0104471
+0.0112741
+0.010959
+0.0104682
+0.0103377
+0.0105682
+0.0110995
+0.00979597
+0.00869642
+0.00795618
+0.00759527
+0.00766299
+0.00799406
+0.00866657
+0.00967259
+0.0108016
+0.0121033
+0.0134498
+0.0149548
+0.016493
+0.0181656
+0.0198999
+0.0214655
+0.02312
+0.0246175
+0.0232635
+0.0220444
+0.0209838
+0.0201002
+0.0190945
+0.0180512
+0.0171244
+0.0164198
+0.0156165
+0.0149861
+0.0145691
+0.0140942
+0.0137567
+0.0135977
+0.0135966
+0.0127446
+0.0117223
+0.010058
+0.00832869
+0.00674737
+0.00542553
+0.0045539
+0.00423344
+0.00240259
+0.000515199
+-0.000621767
+0.00129281
+0.00320866
+0.00511527
+0.00705684
+0.00893525
+0.0109305
+0.0129477
+0.0149377
+0.0169308
+0.0189522
+0.020991
+0.0230301
+0.0250522
+0.0270822
+0.035341
+0.0334999
+0.0316089
+0.0297239
+0.027871
+0.0260704
+0.0242816
+0.0224742
+0.0207375
+0.0190015
+0.0173007
+0.015608
+0.0139265
+0.0122457
+0.0105422
+0.00898369
+0.00735234
+0.00576302
+0.0041482
+0.00262148
+0.00123491
+9.02217e-05
+-0.000476276
+-0.000102495
+0.0011312
+0.00259206
+0.00410665
+0.00560973
+0.00714375
+0.0087156
+0.0103849
+0.0102391
+0.010314
+0.0104873
+0.0110076
+0.0118593
+0.0121421
+0.0115777
+0.0112272
+0.0112687
+0.01168
+0.012017
+0.0105422
+0.00935221
+0.00850888
+0.00803068
+0.00777501
+0.0079956
+0.00871536
+0.00954018
+0.0103777
+0.0115257
+0.0129113
+0.0143578
+0.015858
+0.0172394
+0.0187754
+0.0204311
+0.0216724
+0.0229396
+0.0217566
+0.0204478
+0.0192997
+0.0183411
+0.0175762
+0.0169124
+0.0160312
+0.0152762
+0.0148037
+0.0145895
+0.0142626
+0.0141897
+0.0140812
+0.0142313
+0.0146188
+0.0137806
+0.0128307
+0.0110387
+0.00935156
+0.0077576
+0.00649863
+0.00554469
+0.00490469
+0.00341065
+0.00147763
+-0.000456986
+0.000246518
+0.00218693
+0.004088
+0.00609483
+0.00812095
+0.0100716
+0.012049
+0.014082
+0.016115
+0.0181598
+0.0201697
+0.0222139
+0.0242836
+0.0263722
+0.0341813
+0.0323612
+0.0305203
+0.0286512
+0.026767
+0.0248954
+0.0230707
+0.0212908
+0.0194831
+0.017728
+0.0159946
+0.01429
+0.0126004
+0.0109299
+0.00924493
+0.00754334
+0.00601448
+0.00442282
+0.00293282
+0.00152575
+0.000373097
+-0.000123207
+0.000213922
+0.00124594
+0.00258274
+0.00408845
+0.0056107
+0.00713292
+0.00868536
+0.0102379
+0.0116896
+0.0113786
+0.011404
+0.0117924
+0.0124357
+0.013219
+0.0127588
+0.0123268
+0.0120904
+0.0121499
+0.0125663
+0.0123525
+0.0110087
+0.00982347
+0.00893068
+0.0084158
+0.00824885
+0.00836724
+0.00861427
+0.00918589
+0.0100053
+0.0111843
+0.0123263
+0.0134323
+0.0147508
+0.0162267
+0.0177145
+0.0187613
+0.0199941
+0.0213437
+0.0203521
+0.0189703
+0.0177267
+0.0166792
+0.0158398
+0.0152381
+0.0148238
+0.0142974
+0.0138522
+0.0136402
+0.0137607
+0.0141575
+0.0143758
+0.0147278
+0.0150936
+0.0148404
+0.0138541
+0.0120861
+0.0104526
+0.00899059
+0.00750152
+0.00638629
+0.00568538
+0.00435917
+0.00238885
+0.000440386
+-0.000754318
+0.00124715
+0.00321219
+0.00521095
+0.00718909
+0.00921754
+0.0112525
+0.013273
+0.0152975
+0.0173625
+0.0194501
+0.0215122
+0.0235401
+0.0255948
+0.0330635
+0.0312185
+0.0293782
+0.0275562
+0.0257194
+0.0238229
+0.0219501
+0.0201008
+0.0183224
+0.0165313
+0.0147384
+0.0130103
+0.0113225
+0.00964674
+0.00801091
+0.00633204
+0.00467573
+0.00322565
+0.00186958
+0.000806611
+0.000169914
+0.000233489
+0.00118675
+0.00248276
+0.00405897
+0.00557473
+0.00715071
+0.00866592
+0.0101975
+0.011772
+0.0130472
+0.012757
+0.0127797
+0.0131335
+0.013799
+0.0143944
+0.0136662
+0.013231
+0.0130849
+0.0132003
+0.0135934
+0.0127893
+0.0115852
+0.0105448
+0.00971852
+0.00920878
+0.00881798
+0.00859035
+0.00879245
+0.00904684
+0.00956383
+0.0103015
+0.0112255
+0.012412
+0.0138201
+0.0149963
+0.0159208
+0.0170779
+0.0184108
+0.0198615
+0.0190768
+0.0176164
+0.0162969
+0.015151
+0.0142215
+0.0135481
+0.013208
+0.0129204
+0.0127724
+0.0128012
+0.0130641
+0.0134111
+0.0140941
+0.0150138
+0.0157505
+0.015667
+0.014923
+0.013261
+0.0115399
+0.0099234
+0.00850794
+0.00737628
+0.00645409
+0.00531864
+0.00331562
+0.00127852
+-0.000751148
+0.000365505
+0.00234292
+0.0043501
+0.00640053
+0.00839982
+0.0104488
+0.0125301
+0.0146387
+0.0166473
+0.0186894
+0.0207619
+0.0228553
+0.0249565
+0.0319661
+0.0301126
+0.0282785
+0.0264218
+0.0245977
+0.0227735
+0.0209026
+0.0190305
+0.0171681
+0.0153649
+0.0135842
+0.0118018
+0.0100949
+0.00843537
+0.00682078
+0.00519225
+0.00360917
+0.0022496
+0.00127104
+0.000629811
+0.000410585
+0.00119918
+0.00249837
+0.0039391
+0.00536287
+0.00702824
+0.00862584
+0.010202
+0.0117402
+0.0132777
+0.0140938
+0.0143391
+0.0143593
+0.0146746
+0.0152731
+0.0154482
+0.0147778
+0.0143797
+0.0142519
+0.0144141
+0.014836
+0.01357
+0.0124417
+0.0115595
+0.0105932
+0.00980565
+0.00929682
+0.00888665
+0.00857898
+0.00861123
+0.00874112
+0.00931131
+0.0102912
+0.0113885
+0.0124203
+0.0131969
+0.0142387
+0.0155195
+0.016954
+0.0181728
+0.0179713
+0.0164211
+0.0150165
+0.0137643
+0.0127573
+0.0120021
+0.0115534
+0.0112303
+0.0112108
+0.0114332
+0.0119709
+0.0128635
+0.0136483
+0.0146314
+0.0157836
+0.0163104
+0.0156165
+0.0142338
+0.0125516
+0.0110024
+0.00944465
+0.00807571
+0.00705851
+0.00564401
+0.00348403
+0.00132934
+-0.000636707
+-0.000461888
+0.00153656
+0.0035624
+0.00562759
+0.00774924
+0.0098001
+0.0118102
+0.0138725
+0.0159614
+0.0180663
+0.0201405
+0.0221942
+0.0242719
+0.030898
+0.0290624
+0.0271875
+0.0253404
+0.0235003
+0.0216707
+0.0198475
+0.0180129
+0.0161351
+0.0142848
+0.0124495
+0.0107099
+0.00895739
+0.00727634
+0.00574564
+0.00420157
+0.00282227
+0.00168532
+0.00106807
+0.000858844
+0.00134841
+0.0025455
+0.00391991
+0.00538775
+0.00691131
+0.00835506
+0.0100356
+0.0116992
+0.0132684
+0.0148245
+0.0152086
+0.0155163
+0.0160443
+0.0163449
+0.0168842
+0.0166089
+0.0159819
+0.0156392
+0.0155409
+0.0157478
+0.015874
+0.0145738
+0.0130988
+0.0117863
+0.0107443
+0.0100472
+0.0096056
+0.00878076
+0.00819262
+0.00794752
+0.00810813
+0.00851525
+0.00926438
+0.0100309
+0.010679
+0.0115337
+0.0127121
+0.0140941
+0.0156593
+0.0161098
+0.0158821
+0.0153916
+0.0139424
+0.0125159
+0.0113083
+0.0103596
+0.00979227
+0.00956296
+0.00953329
+0.00992709
+0.0107165
+0.0117512
+0.0129444
+0.0141691
+0.0154052
+0.0168239
+0.0162905
+0.015271
+0.0134714
+0.0117938
+0.0102534
+0.00896369
+0.0077015
+0.00553111
+0.00337334
+0.00121582
+-0.000926102
+-0.00122478
+0.000821604
+0.00289248
+0.00498595
+0.00705661
+0.00911642
+0.0112222
+0.0132297
+0.01527
+0.0173467
+0.0194362
+0.0215431
+0.0236455
+0.0298839
+0.0279939
+0.0261508
+0.0243053
+0.0224454
+0.0206146
+0.0187787
+0.0169568
+0.0151375
+0.0133161
+0.0114685
+0.00964856
+0.00795138
+0.00628857
+0.00475084
+0.00349488
+0.00220577
+0.00149753
+0.00135052
+0.00166384
+0.00263734
+0.00386405
+0.00538203
+0.00686465
+0.0083947
+0.00990239
+0.0113789
+0.0130429
+0.0147366
+0.0162556
+0.0163632
+0.016708
+0.0173109
+0.018068
+0.0186
+0.017894
+0.0173148
+0.016999
+0.0169119
+0.0171031
+0.0164064
+0.0147903
+0.0133393
+0.0120531
+0.0110363
+0.010315
+0.00953232
+0.00852182
+0.00777709
+0.00755926
+0.00739787
+0.00754761
+0.00784413
+0.00848447
+0.00906635
+0.0100313
+0.0112624
+0.0127253
+0.0143745
+0.014085
+0.0138241
+0.0139064
+0.0127635
+0.0112998
+0.0099673
+0.00889376
+0.00820912
+0.00801095
+0.00810456
+0.00855498
+0.00945959
+0.0105516
+0.0118315
+0.0133259
+0.0148744
+0.0164018
+0.0172016
+0.0160624
+0.0143296
+0.0127232
+0.0112013
+0.00981146
+0.00763048
+0.0054573
+0.00330246
+0.00115317
+-0.000968615
+-0.00190291
+0.000132759
+0.00218597
+0.00425618
+0.0063403
+0.00835137
+0.0104236
+0.0125163
+0.0146356
+0.0167202
+0.018818
+0.0209279
+0.0230133
+0.0288101
+0.0270097
+0.0251362
+0.0232731
+0.0214618
+0.0196125
+0.0177695
+0.015947
+0.0141393
+0.0123659
+0.0105537
+0.00876618
+0.0070341
+0.00542672
+0.00397696
+0.002922
+0.00200295
+0.00178434
+0.00202929
+0.0027622
+0.00391345
+0.00527917
+0.00672069
+0.00831369
+0.00984735
+0.0114211
+0.0129389
+0.0144343
+0.0160805
+0.0172801
+0.0176506
+0.0179997
+0.0185739
+0.0193481
+0.0193957
+0.0188483
+0.0185001
+0.0183953
+0.0184144
+0.0185075
+0.0168442
+0.0152746
+0.0138719
+0.0126497
+0.0116718
+0.0105711
+0.00940236
+0.0083857
+0.00745212
+0.0070629
+0.00629621
+0.00602546
+0.00613285
+0.00659887
+0.00727542
+0.00838389
+0.00981771
+0.0114665
+0.0127164
+0.0120942
+0.0117892
+0.0118731
+0.0115088
+0.00999524
+0.00864569
+0.00761617
+0.00687764
+0.00635236
+0.00636184
+0.00690073
+0.00794353
+0.00929788
+0.0107568
+0.012265
+0.0139351
+0.0156248
+0.0173584
+0.0170141
+0.0152572
+0.0136047
+0.011891
+0.00972778
+0.00755297
+0.0053835
+0.00324162
+0.00114745
+-0.000947569
+-0.00263365
+-0.000587524
+0.00145771
+0.00351562
+0.00561524
+0.00772397
+0.009798
+0.0118982
+0.0140163
+0.0161129
+0.0181794
+0.0202684
+0.0223678
+0.0278036
+0.0259598
+0.0241523
+0.022323
+0.0204597
+0.0186442
+0.0168485
+0.0150135
+0.0131973
+0.01145
+0.00970203
+0.007965
+0.00633752
+0.00481029
+0.00353829
+0.00261935
+0.00225762
+0.00231061
+0.00305071
+0.00401176
+0.00524878
+0.00666921
+0.00816433
+0.00966855
+0.0112975
+0.0128645
+0.0144624
+0.0159991
+0.0175047
+0.0184518
+0.0188097
+0.0193996
+0.0199598
+0.0207122
+0.0202281
+0.019748
+0.0194637
+0.0194237
+0.0195969
+0.0189684
+0.0174212
+0.0160121
+0.0147013
+0.0135541
+0.0122809
+0.0108968
+0.00954101
+0.00827674
+0.00741176
+0.00623281
+0.0052977
+0.00461824
+0.00447766
+0.00485661
+0.00568941
+0.00703289
+0.00853093
+0.0100969
+0.0108888
+0.0101745
+0.00981538
+0.00977549
+0.00971996
+0.008891
+0.00741139
+0.00623606
+0.0054468
+0.00481286
+0.00482981
+0.00549717
+0.00664573
+0.00805193
+0.00968539
+0.011383
+0.0131655
+0.0150493
+0.0169049
+0.017922
+0.0162452
+0.014096
+0.0119235
+0.00975916
+0.00760849
+0.00547086
+0.00333391
+0.00120089
+-0.00086503
+-0.00276225
+-0.00127842
+0.000787524
+0.00287866
+0.00498446
+0.0071359
+0.00925333
+0.0113002
+0.0133803
+0.0154836
+0.0175398
+0.0196159
+0.0217145
+0.0268266
+0.0249994
+0.0231567
+0.02135
+0.0195773
+0.0177165
+0.0159092
+0.0141427
+0.0124046
+0.0106249
+0.00892463
+0.00731442
+0.00576404
+0.00438428
+0.0034681
+0.00278327
+0.00263145
+0.00315761
+0.00405135
+0.00520691
+0.00656187
+0.00803502
+0.00953775
+0.0111508
+0.0126858
+0.0143066
+0.0159118
+0.0175099
+0.0190715
+0.0197546
+0.0201189
+0.0206728
+0.0214372
+0.0218555
+0.0212528
+0.0207982
+0.0205284
+0.0204905
+0.0206635
+0.0196639
+0.0181759
+0.0168005
+0.0155981
+0.014149
+0.0126496
+0.0109861
+0.0094111
+0.00810069
+0.0068051
+0.00546007
+0.00423426
+0.00339415
+0.00328825
+0.00347428
+0.00445832
+0.00562152
+0.00718567
+0.00880687
+0.00922088
+0.0083653
+0.00793969
+0.00761152
+0.00754008
+0.00776402
+0.00628906
+0.00489398
+0.00372127
+0.00318436
+0.00349421
+0.00441403
+0.00560375
+0.00719152
+0.00891268
+0.0107351
+0.0126747
+0.0146705
+0.0166725
+0.018581
+0.0164399
+0.0142879
+0.0121498
+0.0100344
+0.00789383
+0.00574925
+0.00361571
+0.00148907
+-0.000604671
+-0.00249259
+-0.00190214
+0.000193273
+0.00230741
+0.00442378
+0.0065449
+0.00859754
+0.0106626
+0.0127305
+0.0148295
+0.0168459
+0.0188727
+0.0209324
+0.0258864
+0.0240449
+0.0222265
+0.020416
+0.0186355
+0.0168854
+0.0150866
+0.0133141
+0.0116014
+0.00998729
+0.00835444
+0.00683136
+0.00546032
+0.00434995
+0.00353462
+0.00314103
+0.00342537
+0.00414547
+0.00518737
+0.00645466
+0.00784862
+0.00934481
+0.0109115
+0.0125072
+0.0141443
+0.0157345
+0.0173471
+0.0189755
+0.0205725
+0.0210932
+0.0215317
+0.0220678
+0.0227855
+0.0226568
+0.022187
+0.0218603
+0.0216468
+0.0216425
+0.0218047
+0.0205618
+0.0191279
+0.0178249
+0.016161
+0.0145441
+0.0128908
+0.0111557
+0.00932842
+0.00755423
+0.00605761
+0.00491268
+0.00335622
+0.0021529
+0.0014487
+0.00197895
+0.00293979
+0.00439599
+0.00574677
+0.00707855
+0.00779472
+0.00677605
+0.00622173
+0.00546564
+0.00536898
+0.00608522
+0.00490773
+0.00357946
+0.00253071
+0.0018281
+0.00223523
+0.00312683
+0.00458339
+0.00637802
+0.00836022
+0.0103032
+0.012311
+0.0143724
+0.0164628
+0.0185718
+0.0167808
+0.014631
+0.0124855
+0.0103467
+0.0082178
+0.00608323
+0.00394724
+0.0018159
+-0.00027599
+-0.00214511
+-0.00246808
+-0.000388138
+0.00169844
+0.00375181
+0.00585477
+0.00791547
+0.00997248
+0.011994
+0.0140375
+0.016105
+0.0181619
+0.0202292
+0.0249667
+0.023166
+0.0213498
+0.0195342
+0.017761
+0.0160098
+0.014318
+0.0126084
+0.0109159
+0.0093372
+0.00791917
+0.00665045
+0.00543347
+0.00449594
+0.00391684
+0.00393468
+0.00441372
+0.00527655
+0.00643525
+0.0077219
+0.00913673
+0.0106819
+0.0122292
+0.0138702
+0.0155086
+0.0171478
+0.0187993
+0.0204028
+0.0219691
+0.0223378
+0.0229111
+0.023566
+0.0241752
+0.0235324
+0.0230804
+0.0228151
+0.0227334
+0.0228395
+0.0226901
+0.0215887
+0.0201726
+0.0184337
+0.0167857
+0.0151162
+0.0131233
+0.0111012
+0.0091546
+0.00733851
+0.00578737
+0.00422109
+0.00262509
+0.00121844
+0.000334081
+0.000614386
+0.00134914
+0.00274055
+0.0042593
+0.00496263
+0.00589774
+0.00546798
+0.00446378
+0.003332
+0.00322449
+0.0041377
+0.0037456
+0.00234264
+0.00122962
+0.000756435
+0.00109135
+0.00254496
+0.0041513
+0.0060805
+0.00812636
+0.0102324
+0.012301
+0.0143637
+0.0164596
+0.0185774
+0.0171371
+0.0149697
+0.0128103
+0.0106544
+0.00850523
+0.00638103
+0.00426441
+0.0021478
+3.11807e-05
+-0.00184746
+-0.00309242
+-0.00101815
+0.0010108
+0.0030624
+0.00513928
+0.00720544
+0.00920101
+0.0112544
+0.0133383
+0.0154298
+0.0175301
+0.0196078
+0.0241521
+0.0223273
+0.0205366
+0.0187506
+0.0169693
+0.0152157
+0.0135457
+0.0119485
+0.0103851
+0.00886647
+0.00752895
+0.00649821
+0.00561562
+0.00493434
+0.0046026
+0.00488746
+0.0055808
+0.0065137
+0.00773637
+0.00909519
+0.0105202
+0.0119815
+0.013591
+0.015193
+0.0168454
+0.0185146
+0.0201799
+0.0218716
+0.0232715
+0.0237013
+0.0242422
+0.0249644
+0.0248564
+0.0243343
+0.0239751
+0.0238128
+0.0238128
+0.022595
+0.0212996
+0.0201403
+0.0191316
+0.0183298
+0.0174424
+0.0153587
+0.0133095
+0.0113134
+0.00940438
+0.00764785
+0.00615029
+0.00433796
+0.00243701
+0.000587633
+-0.000679246
+-0.0011286
+0.000144106
+0.00136203
+0.00250417
+0.00295766
+0.00421486
+0.00452834
+0.00311504
+0.00136707
+0.00113673
+0.00251608
+0.00267841
+0.00125584
+-8.38512e-05
+-0.000487332
+0.000347811
+0.00232699
+0.0044433
+0.00635488
+0.00837355
+0.0104455
+0.0125501
+0.0146482
+0.0167084
+0.0187982
+0.0173841
+0.0152238
+0.0130737
+0.0109397
+0.00882212
+0.00667716
+0.00456651
+0.00246853
+0.000381038
+-0.00156208
+-0.00333804
+-0.00167357
+0.000358702
+0.00235536
+0.00437451
+0.00644544
+0.0085452
+0.0106194
+0.0127327
+0.0148438
+0.0169648
+0.0190695
+0.0234434
+0.0216218
+0.0198081
+0.0180506
+0.0163251
+0.0145803
+0.012884
+0.0113021
+0.00986102
+0.00857192
+0.00744605
+0.00641438
+0.00580443
+0.00552401
+0.00550726
+0.00584604
+0.00664319
+0.0077005
+0.00897122
+0.0104477
+0.011918
+0.0134175
+0.0149155
+0.0165367
+0.0181826
+0.0198445
+0.0215343
+0.023228
+0.0245197
+0.0250367
+0.0256631
+0.0261798
+0.0255445
+0.0250673
+0.0247299
+0.0242529
+0.0227518
+0.0213635
+0.0200171
+0.0188005
+0.0177439
+0.0168747
+0.0160593
+0.0150869
+0.013818
+0.0119074
+0.0101021
+0.00845023
+0.00684124
+0.00480577
+0.00298119
+0.00145015
+-0.000307143
+-0.00155755
+-0.00163488
+-0.000353012
+0.000504171
+0.00118404
+0.0027532
+0.00341276
+0.00248556
+0.000447577
+-0.000300148
+0.00145619
+0.00168831
+0.000704078
+-0.00124291
+-0.00115231
+0.000406084
+0.00243494
+0.00458479
+0.0067609
+0.00894414
+0.0110177
+0.0130377
+0.0151053
+0.0172034
+0.0192671
+0.0176969
+0.015545
+0.0134057
+0.0112862
+0.00918269
+0.00705431
+0.00495881
+0.0028783
+0.000805719
+-0.00120522
+-0.00299035
+-0.00237599
+-0.000310093
+0.00171597
+0.00376443
+0.00586871
+0.00801057
+0.0100766
+0.0121783
+0.0143067
+0.0164151
+0.0184864
+0.0228565
+0.0210131
+0.0192427
+0.0174761
+0.0157526
+0.0141067
+0.0124682
+0.010917
+0.00948175
+0.00829352
+0.00742033
+0.00667236
+0.00630113
+0.00625449
+0.00644986
+0.00701387
+0.00784543
+0.00894764
+0.0102433
+0.0116576
+0.0132116
+0.0148425
+0.0163681
+0.0179049
+0.0195296
+0.0212016
+0.0228603
+0.0245683
+0.0258922
+0.0263824
+0.0270416
+0.026962
+0.0263456
+0.0258973
+0.0248925
+0.0232472
+0.0216681
+0.0201665
+0.018758
+0.0175105
+0.01646
+0.0155181
+0.014738
+0.0138119
+0.0128915
+0.0121285
+0.0111164
+0.0094832
+0.0076233
+0.00580304
+0.0041837
+0.0024691
+0.00123677
+-0.000736003
+-0.00235636
+-0.00216704
+-0.00140826
+-0.000221289
+0.00165754
+0.00158511
+0.00105971
+0.000241043
+-0.000670834
+-0.000282971
+0.000358408
+-0.00121913
+-0.0021618
+-0.000833159
+0.000944131
+0.00312107
+0.00524892
+0.00723534
+0.00931384
+0.0114343
+0.0135771
+0.0157314
+0.017828
+0.0198802
+0.0180949
+0.0159522
+0.01382
+0.011693
+0.00957413
+0.00747052
+0.0054025
+0.00334476
+0.001287
+-0.000664793
+-0.00243755
+-0.00290938
+-0.000871218
+0.00121336
+0.00330188
+0.00537811
+0.00751695
+0.00955055
+0.0116064
+0.0137039
+0.0158184
+0.0179229
+0.022387
+0.0205593
+0.018752
+0.0170159
+0.0153293
+0.0137413
+0.0121932
+0.0107524
+0.00940587
+0.00828348
+0.00750791
+0.00718078
+0.00693748
+0.00704356
+0.00754845
+0.00824253
+0.0091567
+0.0102966
+0.0115607
+0.0129722
+0.0145091
+0.0160801
+0.0177755
+0.0193584
+0.0209259
+0.0225509
+0.0242407
+0.0258908
+0.0271612
+0.0278195
+0.0284424
+0.0277535
+0.0272239
+0.0258721
+0.024095
+0.0223824
+0.0207015
+0.0191238
+0.0176339
+0.0163007
+0.0151627
+0.0141904
+0.013347
+0.0126938
+0.0117331
+0.0109144
+0.0102454
+0.00940137
+0.00864526
+0.00703192
+0.005396
+0.00387042
+0.002277
+0.000667591
+-0.00116394
+-0.00264236
+-0.00276307
+-0.00121178
+0.000192656
+-0.000258631
+-0.000498118
+-0.0011038
+-0.00214756
+-0.00214531
+-0.00165824
+-0.00242247
+-0.0012824
+0.000470888
+0.00209428
+0.00384211
+0.00580252
+0.00785558
+0.00996458
+0.012063
+0.0141106
+0.0161957
+0.0183055
+0.0204323
+0.0185283
+0.0163959
+0.0142807
+0.0121922
+0.0101201
+0.00804181
+0.00593829
+0.00392246
+0.00194608
+-1.09117e-05
+-0.00177848
+-0.00336174
+-0.00143565
+0.000634007
+0.00275879
+0.00481466
+0.00688995
+0.00899809
+0.0111381
+0.0132225
+0.0153154
+0.0174284
+0.0219738
+0.0201613
+0.0184194
+0.0167478
+0.0150888
+0.0135173
+0.0120815
+0.0107994
+0.00962067
+0.0086782
+0.00796068
+0.0076862
+0.00770136
+0.00806141
+0.00860451
+0.00950364
+0.0105437
+0.0116394
+0.0129188
+0.0143679
+0.0158326
+0.0173966
+0.0189992
+0.0206924
+0.0223635
+0.0239666
+0.0255898
+0.0272643
+0.0283153
+0.0290639
+0.028928
+0.0283175
+0.0271716
+0.0252963
+0.0234337
+0.0216319
+0.019889
+0.0182356
+0.0167016
+0.0152994
+0.014059
+0.0130089
+0.0121669
+0.0114325
+0.0108418
+0.00997162
+0.00920669
+0.00832623
+0.00774532
+0.00744477
+0.00667164
+0.00509434
+0.00358179
+0.00192586
+0.000398539
+-0.000928872
+-0.00279415
+-0.00269263
+-0.00194978
+-0.00233475
+-0.00265181
+-0.00312109
+-0.00405245
+-0.00418686
+-0.00363803
+-0.00341571
+-0.00170374
+0.000182556
+0.00231449
+0.00445642
+0.00644669
+0.00837679
+0.0104106
+0.0124975
+0.0146148
+0.016751
+0.0188997
+0.0203521
+0.0190658
+0.0169769
+0.0148498
+0.0127403
+0.0106636
+0.00863248
+0.00661435
+0.00466587
+0.00274687
+0.000878563
+-0.000864655
+-0.00244255
+-0.00188198
+0.000170919
+0.00226099
+0.00437657
+0.0064722
+0.00861497
+0.0107249
+0.0127608
+0.014825
+0.0169129
+0.0215664
+0.0198186
+0.018146
+0.0164902
+0.0149381
+0.013534
+0.0121441
+0.0109379
+0.00992461
+0.00907352
+0.00859216
+0.00849896
+0.00857749
+0.009069
+0.00977961
+0.0106828
+0.0118338
+0.0131214
+0.0143033
+0.0156721
+0.0172021
+0.0187686
+0.0203436
+0.0219578
+0.023651
+0.0253826
+0.0270136
+0.0286358
+0.0295755
+0.0301167
+0.0294622
+0.0286986
+0.0267712
+0.0248259
+0.0229249
+0.0210797
+0.0192869
+0.0175771
+0.0159799
+0.0145086
+0.0131936
+0.0120634
+0.0111563
+0.0104238
+0.00990973
+0.00933147
+0.00850347
+0.0076383
+0.00693099
+0.0066225
+0.00650854
+0.00648736
+0.0050237
+0.00347105
+0.00135277
+-0.000634659
+-0.00256803
+-0.00456565
+-0.0041012
+-0.00436206
+-0.00483566
+-0.00526064
+-0.00594592
+-0.00593615
+-0.00548221
+-0.00358621
+-0.00155372
+0.000527714
+0.00256055
+0.00450195
+0.00642688
+0.00845805
+0.0105255
+0.0125934
+0.0146969
+0.0166186
+0.0177399
+0.0190477
+0.0196225
+0.0175398
+0.0154861
+0.0134259
+0.0114088
+0.00940785
+0.00742355
+0.00553599
+0.00367073
+0.00188434
+0.000203237
+-0.00121342
+-0.000870098
+-0.00023981
+0.00182572
+0.00391418
+0.00604499
+0.00810944
+0.010112
+0.0121795
+0.0142838
+0.0163818
+0.0213176
+0.0195784
+0.0179337
+0.0163698
+0.0148856
+0.0135263
+0.0123737
+0.0113157
+0.0104382
+0.00974416
+0.00936412
+0.00933204
+0.00971348
+0.0102305
+0.011022
+0.0119655
+0.0131321
+0.0144202
+0.0157893
+0.0171141
+0.0185272
+0.0200714
+0.021727
+0.0233297
+0.0249431
+0.0266386
+0.0283805
+0.0300625
+0.0309397
+0.0306867
+0.030044
+0.0285076
+0.0265087
+0.0245426
+0.0226178
+0.0207453
+0.0189209
+0.0171746
+0.0155361
+0.0140188
+0.0126027
+0.011388
+0.0104222
+0.00966841
+0.00916474
+0.00875976
+0.00814533
+0.00727058
+0.00647581
+0.0060683
+0.00606813
+0.00580431
+0.00560634
+0.00354863
+0.00152975
+-0.00033407
+-0.0024897
+-0.00466402
+-0.0062794
+-0.00644529
+-0.00702376
+-0.00743006
+-0.00796287
+-0.00773234
+-0.00581098
+-0.00372357
+-0.00156063
+0.000549568
+0.00237424
+0.0042611
+0.00632595
+0.00845437
+0.0105147
+0.0125545
+0.0142879
+0.0152667
+0.0164753
+0.0178715
+0.0193811
+0.0182693
+0.0162502
+0.0142421
+0.0122434
+0.0102838
+0.00836445
+0.0064994
+0.00472248
+0.00301952
+0.00149455
+0.000133554
+0.000134865
+-0.000641749
+0.00141108
+0.00346897
+0.0055185
+0.00757266
+0.00957618
+0.0116158
+0.0136816
+0.0157808
+0.0212041
+0.0194827
+0.0178522
+0.016325
+0.0149322
+0.0137447
+0.0126509
+0.0117456
+0.0110001
+0.0104952
+0.0102174
+0.0103499
+0.0107812
+0.0114849
+0.0123401
+0.0133512
+0.01447
+0.0157895
+0.0171587
+0.018578
+0.0200034
+0.0214415
+0.0229987
+0.0246392
+0.0263397
+0.027953
+0.0296386
+0.0313708
+0.0319717
+0.031316
+0.0304428
+0.0284306
+0.0264258
+0.0244531
+0.0225206
+0.020634
+0.0187966
+0.0170352
+0.0153594
+0.0137618
+0.0123215
+0.0110493
+0.0100747
+0.00926032
+0.00874885
+0.00835893
+0.00775697
+0.00705877
+0.00639099
+0.00574277
+0.00536902
+0.00483326
+0.00454866
+0.00385929
+0.00171276
+-0.00040102
+-0.00251485
+-0.00453552
+-0.00664966
+-0.00857635
+-0.00918597
+-0.00953472
+-0.0100268
+-0.00827867
+-0.00615797
+-0.00411133
+-0.00220689
+-0.000543998
+0.0015941
+0.00360655
+0.00567947
+0.00772413
+0.00980281
+0.0119201
+0.0130445
+0.0141061
+0.015406
+0.0168908
+0.0184799
+0.0190824
+0.0170965
+0.0151195
+0.0131548
+0.0112524
+0.00944671
+0.00762046
+0.00591525
+0.00425004
+0.00253338
+0.000640153
+-0.000515365
+-0.00110212
+0.000900758
+0.00295295
+0.00504439
+0.00701926
+0.0090733
+0.0111394
+0.0132006
+0.0152978
+0.0212493
+0.0195745
+0.0179794
+0.0164971
+0.0151297
+0.0139631
+0.0130624
+0.0123472
+0.0116693
+0.0113168
+0.0112744
+0.0114168
+0.0119221
+0.0126786
+0.013627
+0.0146786
+0.0159142
+0.0171372
+0.0185255
+0.0200017
+0.0214427
+0.0229393
+0.0244011
+0.0259531
+0.02759
+0.0292915
+0.0309802
+0.0326566
+0.0325311
+0.0318628
+0.0305306
+0.0285041
+0.0265038
+0.0245361
+0.0226079
+0.0207152
+0.0188857
+0.0171013
+0.015408
+0.0138161
+0.0123814
+0.0111171
+0.0101471
+0.00927183
+0.00872873
+0.00805948
+0.00712679
+0.00637342
+0.00574932
+0.00519824
+0.00467546
+0.00437124
+0.00406755
+0.00315937
+0.00129303
+-0.000784182
+-0.00265244
+-0.00468667
+-0.00681405
+-0.00895337
+-0.0111127
+-0.0116643
+-0.0102452
+-0.00817506
+-0.00614292
+-0.00402162
+-0.00199088
+-0.000266848
+0.00103913
+0.00303714
+0.00516796
+0.00732861
+0.00949566
+0.0109062
+0.0119208
+0.013134
+0.0144782
+0.016002
+0.0176641
+0.0194309
+0.0179991
+0.0160756
+0.0142266
+0.0124036
+0.0106073
+0.00888645
+0.00707319
+0.00497726
+0.00287479
+0.000785608
+-0.00126058
+-0.00160551
+0.000393199
+0.00244001
+0.00451667
+0.0066067
+0.00867368
+0.010741
+0.0127954
+0.0148762
+0.0214018
+0.0197807
+0.0182537
+0.0168301
+0.0155425
+0.0144267
+0.0135545
+0.012997
+0.0125307
+0.0123354
+0.0123691
+0.0126435
+0.0131385
+0.0139085
+0.0148975
+0.0160145
+0.0171966
+0.0185351
+0.0199271
+0.0213286
+0.0228532
+0.0243573
+0.0258937
+0.0273794
+0.0289358
+0.03057
+0.0322702
+0.0338624
+0.0330967
+0.0324396
+0.030742
+0.0287305
+0.0267471
+0.0247987
+0.0228926
+0.0210255
+0.0191835
+0.0174164
+0.0157485
+0.0141671
+0.0127661
+0.0115562
+0.0105961
+0.00975737
+0.00919956
+0.0079477
+0.0070463
+0.00629925
+0.00558181
+0.00514867
+0.0047322
+0.00433833
+0.00392996
+0.00334581
+0.00142352
+-0.000554838
+-0.00265579
+-0.00481843
+-0.00699087
+-0.00915607
+-0.0112743
+-0.0120814
+-0.0101158
+-0.0081403
+-0.00615009
+-0.00403
+-0.00203366
+-0.000203434
+0.00165094
+0.00331855
+0.00531825
+0.00731171
+0.00899133
+0.0100142
+0.0110271
+0.0122252
+0.013646
+0.0152502
+0.016982
+0.0187997
+0.0190291
+0.0171615
+0.0153345
+0.0135864
+0.011676
+0.0096757
+0.0075789
+0.00548442
+0.00344977
+0.00140426
+-0.000578469
+-0.0019738
+1.56985e-05
+0.00204017
+0.00408057
+0.00618676
+0.00827882
+0.0102731
+0.0123135
+0.0143969
+0.0216675
+0.0201127
+0.018639
+0.01727
+0.0160683
+0.0150398
+0.0142759
+0.0137269
+0.0132613
+0.0131194
+0.0133
+0.0137189
+0.014353
+0.0151877
+0.016162
+0.0172961
+0.0185772
+0.0198481
+0.0212361
+0.0227162
+0.0242021
+0.0257434
+0.0273011
+0.0288495
+0.0303764
+0.0319405
+0.0335713
+0.0345449
+0.0337947
+0.0331187
+0.0311067
+0.0291203
+0.0271654
+0.0252493
+0.0233759
+0.0215073
+0.0197051
+0.0179773
+0.0163398
+0.0148209
+0.0134879
+0.0123443
+0.0114502
+0.0106105
+0.00955153
+0.0084182
+0.00745895
+0.00683289
+0.00620902
+0.00572988
+0.00530476
+0.00477866
+0.00424004
+0.00291067
+0.000801045
+-0.00126143
+-0.00328392
+-0.00534312
+-0.00741824
+-0.00949206
+-0.0115312
+-0.0121224
+-0.0100311
+-0.00796327
+-0.00589857
+-0.00382122
+-0.00191231
+-0.000484856
+0.00157594
+0.00351941
+0.00554641
+0.00699279
+0.00826883
+0.00936574
+0.0103147
+0.0115736
+0.0128992
+0.0143473
+0.0159655
+0.0177074
+0.0195397
+0.0180467
+0.0159905
+0.0139714
+0.011982
+0.00998995
+0.00808319
+0.00628476
+0.00430585
+0.00237617
+0.00049038
+-0.00126949
+-0.000316489
+0.00170367
+0.00372672
+0.00580173
+0.00788958
+0.0099155
+0.0118833
+0.0139032
+0.0220904
+0.0205613
+0.0191209
+0.0178302
+0.0166757
+0.0156902
+0.014899
+0.0143885
+0.0141433
+0.0140391
+0.0142424
+0.0147383
+0.0154519
+0.0162847
+0.0173195
+0.018494
+0.0197725
+0.0211835
+0.0226087
+0.0240322
+0.0255381
+0.0271252
+0.0286767
+0.0302757
+0.0318302
+0.0333881
+0.0349615
+0.0350005
+0.0343482
+0.0336005
+0.0316192
+0.0296672
+0.0277509
+0.0258781
+0.0239998
+0.0221721
+0.020416
+0.0187515
+0.0171879
+0.015751
+0.0145038
+0.0134453
+0.0125579
+0.0115493
+0.0103295
+0.00928737
+0.00834926
+0.00776915
+0.00734648
+0.0068804
+0.00630019
+0.00543253
+0.00440198
+0.00240242
+0.00024897
+-0.00170032
+-0.00371818
+-0.00575812
+-0.00777907
+-0.00987271
+-0.0120007
+-0.0122885
+-0.0102332
+-0.00814263
+-0.00604926
+-0.00403092
+-0.00216438
+-0.000232629
+0.00160858
+0.00323008
+0.00466094
+0.00603683
+0.00668812
+0.007557
+0.00863534
+0.00999962
+0.0113952
+0.0130117
+0.014777
+0.0166436
+0.0185812
+0.018453
+0.0163445
+0.0142608
+0.0122025
+0.0101806
+0.00824439
+0.00643275
+0.00479521
+0.00339469
+0.00168192
+5.72232e-05
+-0.000608773
+0.00140173
+0.00341667
+0.00550524
+0.00758887
+0.00953704
+0.011542
+0.0135548
+0.022569
+0.0211262
+0.0198117
+0.0185249
+0.0174169
+0.0164979
+0.0157758
+0.0152947
+0.0150641
+0.0151165
+0.0153342
+0.0158331
+0.0165477
+0.0174333
+0.0184488
+0.0196345
+0.0209439
+0.0223227
+0.0237777
+0.0253303
+0.0268808
+0.0284145
+0.0300002
+0.0316414
+0.033268
+0.0348314
+0.0360464
+0.0352776
+0.0346305
+0.034112
+0.0322727
+0.0303627
+0.0284885
+0.0266085
+0.0247795
+0.0230138
+0.0213271
+0.0197397
+0.0182609
+0.0169153
+0.0157305
+0.0147348
+0.0138493
+0.0125754
+0.0114716
+0.0104898
+0.00963121
+0.00913257
+0.00888165
+0.00797048
+0.00692307
+0.00591752
+0.00395592
+0.00183202
+-9.44229e-05
+-0.00186187
+-0.00393298
+-0.00607776
+-0.0082407
+-0.0102404
+-0.0123053
+-0.0127167
+-0.0107193
+-0.00874577
+-0.00683956
+-0.00498229
+-0.00321855
+-0.00110388
+0.000995085
+0.00254666
+0.00365205
+0.00398024
+0.00468083
+0.00582037
+0.00715498
+0.00854696
+0.0101444
+0.0119316
+0.0138353
+0.0158136
+0.0178415
+0.0186161
+0.0165225
+0.0144578
+0.0124362
+0.0104423
+0.00847176
+0.00659997
+0.00485746
+0.00328701
+0.00211895
+0.000795686
+-0.000921221
+0.00104553
+0.00302492
+0.00504823
+0.0070701
+0.00914216
+0.0111842
+0.0132402
+0.0231793
+0.0217774
+0.0205142
+0.0193894
+0.0183338
+0.0174497
+0.0167931
+0.0164049
+0.0162303
+0.016279
+0.0165565
+0.0170934
+0.017785
+0.0186562
+0.0196782
+0.0208082
+0.0220847
+0.0234666
+0.0249498
+0.0264627
+0.0280377
+0.0296775
+0.0313219
+0.0329133
+0.0345694
+0.0362374
+0.0364474
+0.0356872
+0.0350476
+0.0345354
+0.0330517
+0.0311769
+0.0293126
+0.027489
+0.0257227
+0.0240264
+0.022416
+0.0209114
+0.019515
+0.0182432
+0.0171237
+0.0162138
+0.0150399
+0.013869
+0.012821
+0.0119133
+0.0111647
+0.0107103
+0.00995428
+0.00881028
+0.00752672
+0.00597233
+0.00380803
+0.0016412
+-0.000430916
+-0.00215078
+-0.00414078
+-0.00625326
+-0.00840587
+-0.0105741
+-0.0127321
+-0.0134357
+-0.0114803
+-0.00958656
+-0.00781495
+-0.00585337
+-0.00367102
+-0.00149265
+0.000627753
+0.00173183
+0.0018108
+0.00192298
+0.00287423
+0.00421614
+0.00574394
+0.00735814
+0.00919305
+0.0111503
+0.0131724
+0.0152302
+0.0173117
+0.0189941
+0.0169163
+0.0148281
+0.012719
+0.0106333
+0.00859975
+0.00666059
+0.00486291
+0.00325007
+0.00187315
+0.000871964
+-0.000827548
+0.00061925
+0.00263042
+0.00462693
+0.00664965
+0.00872153
+0.0107306
+0.0127689
+0.0239591
+0.0226057
+0.0213914
+0.0203222
+0.0194076
+0.0185597
+0.0179407
+0.0175343
+0.0173335
+0.0174084
+0.0177553
+0.0182917
+0.0190333
+0.0199158
+0.0209225
+0.0220518
+0.023304
+0.0246389
+0.026063
+0.0275877
+0.02919
+0.0308182
+0.0324535
+0.0341477
+0.0358574
+0.0375123
+0.0369741
+0.0362249
+0.035595
+0.0350908
+0.0339339
+0.032088
+0.0302731
+0.0285109
+0.0268121
+0.0251893
+0.0236582
+0.022215
+0.0208944
+0.0197024
+0.0186707
+0.0176816
+0.0164307
+0.0153222
+0.014379
+0.0135431
+0.0128893
+0.0123127
+0.0110897
+0.00965076
+0.00796806
+0.00578384
+0.00360746
+0.00147191
+-0.000450555
+-0.00225035
+-0.00431403
+-0.00644078
+-0.00858536
+-0.0107423
+-0.0129106
+-0.0143272
+-0.0124777
+-0.0103596
+-0.00826502
+-0.00618131
+-0.00404089
+-0.00193623
+3.84826e-05
+-0.000115241
+-9.17498e-05
+0.00018522
+0.00135647
+0.00274064
+0.00447846
+0.0063897
+0.00842869
+0.0104932
+0.0125973
+0.0147267
+0.0168718
+0.0190273
+0.0171648
+0.0150702
+0.0130073
+0.0109797
+0.00901239
+0.00702073
+0.00506102
+0.00325874
+0.00164987
+0.000648715
+-0.000819666
+0.000338765
+0.00231836
+0.00430589
+0.00628637
+0.00825071
+0.0103051
+0.0124062
+0.0246794
+0.0235964
+0.0224352
+0.0214072
+0.0205465
+0.0198189
+0.0192011
+0.0188046
+0.0186175
+0.0186871
+0.0190106
+0.0195301
+0.0202722
+0.0212155
+0.0221609
+0.0232471
+0.0244722
+0.025793
+0.0272262
+0.0287414
+0.0302828
+0.031886
+0.0335466
+0.035241
+0.0369756
+0.0384508
+0.0376035
+0.0368672
+0.0362484
+0.0357531
+0.0349178
+0.033113
+0.0313574
+0.0296598
+0.0280306
+0.0264826
+0.0250075
+0.0236399
+0.0224035
+0.0212875
+0.0203363
+0.0191248
+0.0179717
+0.0169338
+0.0160684
+0.0153134
+0.0147256
+0.0136098
+0.0121217
+0.0102091
+0.00802725
+0.00585202
+0.00369487
+0.00156789
+-0.000344157
+-0.00226729
+-0.00433352
+-0.00647355
+-0.00862675
+-0.0107941
+-0.0129673
+-0.014936
+-0.0128243
+-0.0107284
+-0.00863598
+-0.00660746
+-0.0046741
+-0.00285503
+-0.00156696
+-0.00182362
+-0.00200703
+-0.0016313
+1.36884e-05
+0.00212015
+0.00392801
+0.00597176
+0.00809131
+0.0102242
+0.0123742
+0.0145363
+0.0167058
+0.0188802
+0.0176448
+0.0156147
+0.0134801
+0.0113636
+0.00928153
+0.00725903
+0.00531404
+0.00333331
+0.00155714
+0.000266524
+-0.000952324
+0.00027831
+0.00216462
+0.00413596
+0.00611223
+0.00810193
+0.0101583
+0.0121828
+0.0252267
+0.0242147
+0.0233339
+0.0225956
+0.0217819
+0.0211294
+0.0205952
+0.0201938
+0.0200196
+0.0200844
+0.0203857
+0.0208878
+0.0215833
+0.0224716
+0.0235091
+0.0245357
+0.0257031
+0.0269911
+0.0283638
+0.0298344
+0.031382
+0.0329945
+0.0346402
+0.0362835
+0.0379727
+0.0391773
+0.0383461
+0.0376243
+0.0370182
+0.036528
+0.0359955
+0.0342476
+0.0325533
+0.0309214
+0.0293615
+0.0278646
+0.0264634
+0.0251751
+0.0240178
+0.0229723
+0.0218795
+0.0206739
+0.019581
+0.0186505
+0.0178548
+0.0171545
+0.0162642
+0.014706
+0.0125413
+0.0103876
+0.00825335
+0.0060874
+0.00393227
+0.00179874
+-0.000116815
+-0.00211564
+-0.00426317
+-0.00641486
+-0.00839606
+-0.0101181
+-0.011994
+-0.013962
+-0.0133539
+-0.0113062
+-0.00930461
+-0.00736822
+-0.00554644
+-0.00405101
+-0.00325214
+-0.00346645
+-0.00363576
+-0.00215264
+-2.95593e-05
+0.00208527
+0.00417389
+0.00629803
+0.00833631
+0.010419
+0.0124398
+0.0144939
+0.0165828
+0.018695
+0.0179685
+0.0158469
+0.013747
+0.0116196
+0.00949684
+0.00741379
+0.00535284
+0.00335834
+0.00143041
+-0.000130637
+-0.00126057
+0.000325612
+0.00217988
+0.00408269
+0.00608075
+0.00798711
+0.0100004
+0.012022
+0.0259164
+0.0249439
+0.0241198
+0.0234417
+0.022933
+0.0225465
+0.0220887
+0.0217155
+0.0215536
+0.0216137
+0.0218878
+0.0223386
+0.0229902
+0.0238261
+0.0248273
+0.0259078
+0.0270522
+0.0282854
+0.0296
+0.0310121
+0.0325105
+0.034083
+0.0357082
+0.0373909
+0.0390652
+0.0400108
+0.0391973
+0.0384914
+0.037897
+0.0374152
+0.0370568
+0.0354813
+0.0338488
+0.0322803
+0.0307685
+0.0293424
+0.0280151
+0.0268015
+0.0257112
+0.0246956
+0.0234498
+0.0223145
+0.0212934
+0.020446
+0.0197229
+0.0190209
+0.0169372
+0.0147625
+0.0125933
+0.0104331
+0.00828885
+0.00617358
+0.00411602
+0.00218612
+0.000417983
+-0.00168041
+-0.00371972
+-0.00533062
+-0.00712039
+-0.0090875
+-0.0110659
+-0.0129379
+-0.0140809
+-0.0121076
+-0.0102203
+-0.00843657
+-0.00686524
+-0.00563622
+-0.00484691
+-0.00465368
+-0.00418599
+-0.00199925
+0.000177296
+0.00215997
+0.00415147
+0.00607721
+0.00806424
+0.0100875
+0.0121634
+0.0142574
+0.0163765
+0.0185123
+0.0182284
+0.0160956
+0.0139806
+0.0118832
+0.00973787
+0.00757489
+0.00543419
+0.00334364
+0.00137354
+-0.000412389
+-0.00170965
+0.000259656
+0.00206165
+0.00389078
+0.00583956
+0.00777925
+0.00979802
+0.0118778
+0.0266832
+0.0257661
+0.0249794
+0.024354
+0.0238857
+0.0236011
+0.0235044
+0.0233253
+0.0231748
+0.0232308
+0.0234756
+0.0238965
+0.0245067
+0.0252926
+0.026238
+0.0272916
+0.0284287
+0.0296673
+0.030931
+0.0322849
+0.0337269
+0.0352461
+0.0368329
+0.0384792
+0.040166
+0.0409446
+0.04015
+0.0394612
+0.0388765
+0.038407
+0.038058
+0.0368042
+0.0352289
+0.0337069
+0.0322619
+0.0309048
+0.0296476
+0.0285036
+0.0274742
+0.0262803
+0.0251132
+0.0240318
+0.0230868
+0.0217195
+0.0203397
+0.0190933
+0.0171666
+0.0150163
+0.0128797
+0.0107648
+0.00868764
+0.00667819
+0.00460295
+0.00263379
+0.000858218
+-0.000726683
+-0.00235241
+-0.00426805
+-0.00624587
+-0.0081363
+-0.0099362
+-0.0117171
+-0.0128399
+-0.0126169
+-0.0114015
+-0.00981396
+-0.00841006
+-0.00709151
+-0.00614873
+-0.00577336
+-0.00447929
+-0.00242957
+-0.000322118
+0.00157108
+0.00347213
+0.00546898
+0.00751888
+0.00963096
+0.0117718
+0.0139282
+0.0160938
+0.018264
+0.0185959
+0.0164393
+0.0142924
+0.0121504
+0.0100147
+0.00790906
+0.00577875
+0.00366975
+0.00157881
+-0.000499458
+-0.00216318
+-6.89907e-05
+0.00190298
+0.00374254
+0.00570884
+0.00767128
+0.0097131
+0.0117919
+0.0274819
+0.0266223
+0.0258879
+0.0252967
+0.024873
+0.0246373
+0.0245602
+0.0246636
+0.0248677
+0.02492
+0.0251542
+0.0255474
+0.0261191
+0.0268578
+0.0277443
+0.0287487
+0.0298608
+0.0310439
+0.0323298
+0.0336395
+0.0350258
+0.0364909
+0.0380259
+0.0396226
+0.0412738
+0.0419682
+0.0411934
+0.0405223
+0.0399523
+0.0394955
+0.0391562
+0.0382011
+0.0366716
+0.035212
+0.0338314
+0.0325398
+0.0313483
+0.0302626
+0.0291617
+0.0279065
+0.0263458
+0.0248461
+0.0233876
+0.0219187
+0.0205522
+0.0193195
+0.0176296
+0.0155436
+0.0134716
+0.0114154
+0.00934101
+0.00733453
+0.00541425
+0.00344566
+0.00134878
+-0.000242931
+-0.00171884
+-0.00339965
+-0.00530579
+-0.00701877
+-0.0087405
+-0.0104852
+-0.0109872
+-0.0107379
+-0.0103449
+-0.00984185
+-0.00896293
+-0.0083842
+-0.00759555
+-0.00723528
+-0.00514323
+-0.00315771
+-0.00131702
+0.0007583
+0.0028671
+0.0050151
+0.00717903
+0.00935541
+0.0115372
+0.0137219
+0.0159081
+0.0180733
+0.0189656
+0.0168229
+0.0146882
+0.0125727
+0.0104653
+0.00828893
+0.00612278
+0.00397736
+0.00184282
+-0.000307679
+-0.00246459
+-0.000894672
+0.00119378
+0.00326671
+0.00538633
+0.00749448
+0.00958236
+0.0117068
+0.0283713
+0.0275094
+0.0267987
+0.0262521
+0.0258799
+0.0256898
+0.0256633
+0.0257737
+0.0260683
+0.026523
+0.0268751
+0.0272745
+0.0278107
+0.0285056
+0.0293335
+0.0302853
+0.0313469
+0.0324996
+0.0337301
+0.0350544
+0.0364103
+0.0378218
+0.0393049
+0.0408516
+0.042455
+0.0430782
+0.0423237
+0.0416708
+0.0411167
+0.040673
+0.0403436
+0.0396568
+0.0381856
+0.0367861
+0.0354668
+0.034237
+0.0331044
+0.0316056
+0.0299173
+0.0282979
+0.02676
+0.0252481
+0.0237754
+0.022332
+0.0209923
+0.019787
+0.0182788
+0.0162329
+0.0141863
+0.0121894
+0.0102149
+0.00813904
+0.00602253
+0.00395778
+0.00202984
+0.000290198
+-0.00141292
+-0.00268862
+-0.00424375
+-0.00589038
+-0.00762158
+-0.00927865
+-0.00928298
+-0.0090008
+-0.0085862
+-0.00832418
+-0.00765515
+-0.00713853
+-0.00692725
+-0.00718879
+-0.0055693
+-0.00344112
+-0.00139186
+0.000558484
+0.0027227
+0.00490866
+0.00709634
+0.00927299
+0.0114146
+0.0135719
+0.0157384
+0.0179107
+0.0194194
+0.0172322
+0.015046
+0.0128614
+0.0106777
+0.00849404
+0.00631124
+0.00413616
+0.00197628
+-0.000161071
+-0.00221873
+-0.00125832
+0.000709963
+0.00277044
+0.00487022
+0.00702528
+0.0091972
+0.0112306
+0.0293689
+0.0285366
+0.0278521
+0.0273266
+0.0269692
+0.0267828
+0.0267443
+0.0268848
+0.0272016
+0.0276887
+0.0283074
+0.0290257
+0.0295504
+0.0302053
+0.0309961
+0.0318984
+0.0329081
+0.0340119
+0.0352112
+0.0364817
+0.0378366
+0.03923
+0.0406617
+0.0421587
+0.0437142
+0.0442688
+0.0435349
+0.0429005
+0.0423625
+0.041932
+0.0416126
+0.0411775
+0.0397626
+0.0384207
+0.0371594
+0.0355673
+0.033813
+0.0321016
+0.0304407
+0.0288507
+0.0273233
+0.0258303
+0.0243548
+0.0229479
+0.0216462
+0.0204795
+0.0190589
+0.0170686
+0.0150217
+0.0129094
+0.0108282
+0.00880041
+0.00686603
+0.00496733
+0.00301165
+0.0012129
+-0.000524566
+-0.00209858
+-0.00324303
+-0.00468624
+-0.00619864
+-0.00769978
+-0.00752885
+-0.00716329
+-0.00671439
+-0.00636373
+-0.00589112
+-0.00559302
+-0.00556338
+-0.00610261
+-0.00518522
+-0.00301131
+-0.000907145
+0.00107474
+0.0031268
+0.00508584
+0.00717509
+0.00928698
+0.0114244
+0.0135788
+0.0157433
+0.0179141
+0.0196265
+0.017461
+0.0153027
+0.013155
+0.0110243
+0.00886021
+0.00668091
+0.00451256
+0.00235707
+0.00022089
+-0.00159682
+-0.00127268
+0.000652559
+0.00258082
+0.00458605
+0.00658056
+0.00857188
+0.0106071
+0.0304608
+0.0296592
+0.0290012
+0.0284968
+0.0281544
+0.0279797
+0.0279447
+0.0280792
+0.0283827
+0.0288498
+0.0294727
+0.0302419
+0.0311457
+0.0319535
+0.0327078
+0.033577
+0.0345379
+0.0355911
+0.036745
+0.0379818
+0.039285
+0.0406644
+0.0420889
+0.0435368
+0.0450441
+0.0455338
+0.0448206
+0.0442046
+0.0436826
+0.0432653
+0.0429558
+0.0427564
+0.0413956
+0.0397297
+0.0379149
+0.0361417
+0.0344167
+0.0327369
+0.03111
+0.0294944
+0.02787
+0.026323
+0.0248731
+0.023538
+0.0223383
+0.0212753
+0.0198246
+0.0177431
+0.0156914
+0.0136829
+0.0117397
+0.00981148
+0.00786755
+0.00600692
+0.00428042
+0.00252963
+0.000857184
+-0.000660889
+-0.00183693
+-0.00315429
+-0.00461354
+-0.00573207
+-0.00536847
+-0.00500306
+-0.00468027
+-0.00443686
+-0.00384936
+-0.00375958
+-0.00393867
+-0.0048003
+-0.00476981
+-0.0028432
+-0.000810928
+0.00130527
+0.0033516
+0.00546966
+0.00762784
+0.00969031
+0.0117598
+0.0138622
+0.0159883
+0.0181298
+0.0199899
+0.0178228
+0.0156569
+0.0134983
+0.011352
+0.00922649
+0.00709623
+0.00493866
+0.00281938
+0.000748583
+-0.000855841
+-0.00109411
+0.00055186
+0.00245406
+0.0042093
+0.00616894
+0.00814423
+0.0102058
+0.0316669
+0.0308965
+0.0302654
+0.0297825
+0.029455
+0.0292881
+0.0292584
+0.0293869
+0.029677
+0.0301241
+0.0307212
+0.0314598
+0.0323303
+0.0333222
+0.0344252
+0.0352837
+0.0362079
+0.0372323
+0.0383368
+0.0395319
+0.0407996
+0.0421295
+0.0435269
+0.0449592
+0.0464314
+0.046867
+0.0461744
+0.0455768
+0.0450707
+0.0446663
+0.0443666
+0.0440438
+0.0421871
+0.0403638
+0.0385789
+0.0368377
+0.0351262
+0.0333534
+0.0316329
+0.0299739
+0.0283769
+0.0268592
+0.0254398
+0.0241361
+0.0229677
+0.0219562
+0.0205714
+0.0185738
+0.0166249
+0.014691
+0.0127484
+0.0108558
+0.00905805
+0.00734708
+0.00560075
+0.00391671
+0.0022348
+0.000762623
+-0.000427413
+-0.00155677
+-0.00306727
+-0.00357632
+-0.00322936
+-0.00287335
+-0.00278718
+-0.00269227
+-0.00188901
+-0.0016585
+-0.00250615
+-0.00382216
+-0.00403349
+-0.00201837
+-0.000162331
+0.00195713
+0.00403173
+0.00609779
+0.00814115
+0.0102051
+0.0123129
+0.0144453
+0.0165147
+0.0186009
+0.0203795
+0.0182515
+0.0160951
+0.0139396
+0.01178
+0.00962279
+0.00748506
+0.00538379
+0.00334542
+0.00145206
+-0.000205971
+-0.000368333
+0.000482662
+0.0021653
+0.00393983
+0.00578415
+0.00777856
+0.00981611
+0.0329745
+0.0322354
+0.031631
+0.0311693
+0.0308565
+0.0306972
+0.0306689
+0.0307915
+0.0310685
+0.0314958
+0.0320674
+0.0327757
+0.0336121
+0.0345673
+0.0356317
+0.036796
+0.0378995
+0.038885
+0.0399597
+0.0411091
+0.0423387
+0.0436438
+0.0449853
+0.0463725
+0.0478198
+0.0482629
+0.0475907
+0.047011
+0.0465205
+0.0461289
+0.0455224
+0.044285
+0.0428968
+0.0411051
+0.0392883
+0.0374562
+0.0356646
+0.0339199
+0.0322297
+0.0306031
+0.0290407
+0.0275596
+0.0261782
+0.0249131
+0.0237829
+0.0228077
+0.0215162
+0.01958
+0.017639
+0.0157281
+0.013877
+0.0121268
+0.0104206
+0.0086844
+0.00699174
+0.00529578
+0.0037426
+0.00240257
+0.00114129
+-0.000238843
+-0.002118
+-0.00143783
+-0.00110644
+-0.000885818
+-0.000991058
+-0.000659691
+5.07713e-05
+0.000317096
+-0.00135167
+-0.00294634
+-0.00333765
+-0.00135636
+0.000620711
+0.00268306
+0.00461244
+0.0066859
+0.00881625
+0.0109704
+0.0130115
+0.0150453
+0.0171178
+0.0192166
+0.0206715
+0.0185196
+0.0163775
+0.0142459
+0.0121317
+0.0100502
+0.00802711
+0.00606833
+0.00407595
+0.00224069
+0.000741625
+0.000292134
+0.000904984
+0.00214074
+0.00382736
+0.00576882
+0.00772185
+0.00977138
+0.0343721
+0.0336637
+0.0330855
+0.0326443
+0.0323457
+0.0321939
+0.0321668
+0.0322838
+0.0325481
+0.0329562
+0.0335028
+0.0341814
+0.0349842
+0.0359029
+0.0369289
+0.0380535
+0.0392681
+0.0405648
+0.0416142
+0.0427263
+0.0439107
+0.0451703
+0.0464979
+0.0478444
+0.0492485
+0.0497162
+0.0490638
+0.0485018
+0.0474818
+0.0460891
+0.0447603
+0.0435013
+0.0421363
+0.0406674
+0.0392658
+0.037939
+0.0363274
+0.0346161
+0.0329616
+0.0313729
+0.0298509
+0.0284121
+0.0270742
+0.025853
+0.0247657
+0.0238307
+0.0225331
+0.0206102
+0.0187371
+0.0169259
+0.0152075
+0.0134826
+0.0117741
+0.0100809
+0.008381
+0.00679595
+0.00538983
+0.00376784
+0.00169718
+0.00011027
+-0.000900594
+0.000564957
+0.000927112
+0.000897201
+0.000954854
+0.00139296
+0.00211571
+0.00112185
+-0.000523322
+-0.00221865
+-0.0023397
+-0.000927157
+0.00110953
+0.00321082
+0.00534431
+0.00750852
+0.00949225
+0.0115207
+0.0135995
+0.0157088
+0.0178377
+0.019914
+0.0211025
+0.0189995
+0.0169183
+0.0148644
+0.012852
+0.0107869
+0.00876361
+0.00675951
+0.00486949
+0.0032694
+0.00219865
+0.00115018
+0.00176986
+0.00290086
+0.00445035
+0.0063155
+0.00816284
+0.0101316
+0.0358492
+0.0351705
+0.0346175
+0.0341961
+0.0339112
+0.0337664
+0.0337406
+0.0338521
+0.0341042
+0.0344939
+0.0350166
+0.0356664
+0.0364365
+0.0373195
+0.0383075
+0.0393928
+0.0405674
+0.0418238
+0.0431549
+0.044387
+0.0455337
+0.0467497
+0.0480348
+0.0493678
+0.0507316
+0.0512219
+0.0498428
+0.0483202
+0.0468501
+0.045438
+0.0440896
+0.0428108
+0.0413771
+0.0398798
+0.038449
+0.0370926
+0.0358188
+0.0346369
+0.0335565
+0.0322642
+0.0307823
+0.0293891
+0.0280978
+0.026923
+0.0258807
+0.0249875
+0.0236128
+0.0217667
+0.0199899
+0.018294
+0.0165528
+0.0148662
+0.0131482
+0.0114704
+0.00987605
+0.00843205
+0.00659342
+0.00471673
+0.00315763
+0.00170096
+0.00114144
+0.00192318
+0.00278351
+0.00287976
+0.00303568
+0.00346805
+0.00369926
+0.00172762
+-0.000125159
+-0.00185545
+-0.00119608
+-3.80666e-06
+0.00172936
+0.00371348
+0.00577104
+0.00789417
+0.0100464
+0.0121767
+0.0142908
+0.0163934
+0.0184434
+0.0205226
+0.0217468
+0.0197126
+0.0176333
+0.0155751
+0.0135584
+0.0115453
+0.00960302
+0.00778424
+0.00614058
+0.00479957
+0.0035333
+0.00276544
+0.00305327
+0.00357829
+0.00488295
+0.00646543
+0.00823878
+0.0101264
+0.0373963
+0.0367463
+0.0362173
+0.0358147
+0.0355428
+0.0354046
+0.0353801
+0.0354864
+0.035727
+0.0360992
+0.0365989
+0.0372211
+0.0379597
+0.038808
+0.0397591
+0.0408058
+0.0419408
+0.0431573
+0.0444485
+0.0458019
+0.0471793
+0.0483767
+0.0496197
+0.0509266
+0.0522638
+0.0509233
+0.0493382
+0.0477995
+0.0463128
+0.0448838
+0.0435182
+0.0422222
+0.0406994
+0.0391762
+0.0377188
+0.0363351
+0.0350338
+0.0338244
+0.0327172
+0.0317228
+0.0308427
+0.030076
+0.0292403
+0.0281133
+0.0271168
+0.0262657
+0.0248132
+0.0230618
+0.0213713
+0.0196274
+0.0179595
+0.0162213
+0.0145537
+0.0129647
+0.0114916
+0.00957262
+0.00779815
+0.00624128
+0.00473884
+0.0036343
+0.00328981
+0.003836
+0.00482992
+0.00500219
+0.00514748
+0.00559085
+0.00387099
+0.00193977
+0.000152658
+-0.00125582
+9.06602e-05
+0.00112424
+0.00277954
+0.00466633
+0.00659867
+0.00856827
+0.0105897
+0.012663
+0.0147702
+0.0168987
+0.0190412
+0.0211565
+0.0224577
+0.0204157
+0.0183895
+0.01638
+0.0144233
+0.0125442
+0.0107631
+0.00912044
+0.00769189
+0.00621561
+0.00497608
+0.00389274
+0.00359195
+0.00406019
+0.00522939
+0.00668739
+0.00838029
+0.0102592
+0.0390043
+0.0383815
+0.0378753
+0.0374906
+0.0372309
+0.037099
+0.0370765
+0.037178
+0.0374077
+0.0377634
+0.0382414
+0.0388372
+0.0395457
+0.0403607
+0.041276
+0.0422851
+0.0433814
+0.0445586
+0.0458103
+0.0471247
+0.0484945
+0.0498968
+0.0512492
+0.0525156
+0.0521657
+0.0505246
+0.0489265
+0.0473745
+0.045874
+0.0444309
+0.0430509
+0.0417335
+0.04013
+0.0385844
+0.0371037
+0.0356961
+0.0343707
+0.0331371
+0.0320061
+0.030989
+0.0300873
+0.0293009
+0.0286607
+0.0281768
+0.0278572
+0.0276539
+0.0261389
+0.0244358
+0.0227077
+0.0210346
+0.0193004
+0.0176419
+0.016057
+0.0144573
+0.0126093
+0.010889
+0.00933263
+0.00782136
+0.00653682
+0.0056994
+0.00546638
+0.00586416
+0.00682334
+0.00714561
+0.00700804
+0.00555063
+0.00379934
+0.00200784
+0.000372814
+-0.000530295
+0.00115771
+0.00215127
+0.00379651
+0.00565354
+0.00752424
+0.00948133
+0.011487
+0.0134548
+0.0154587
+0.0175036
+0.0195801
+0.0216791
+0.0232459
+0.021244
+0.0192831
+0.0173772
+0.0155465
+0.0137859
+0.012134
+0.0106625
+0.00902943
+0.0073626
+0.00585234
+0.00476744
+0.00437631
+0.00489542
+0.0058238
+0.00710453
+0.00871774
+0.0105414
+0.0406529
+0.0400558
+0.0395711
+0.0392029
+0.0389547
+0.0388287
+0.0388225
+0.0389194
+0.0391389
+0.039479
+0.0399364
+0.0405074
+0.0411871
+0.0419702
+0.0428512
+0.043824
+0.0448828
+0.0460216
+0.0472346
+0.0485103
+0.0498421
+0.0512329
+0.0526563
+0.0535587
+0.0518691
+0.0502183
+0.0486101
+0.0470477
+0.0455364
+0.0440823
+0.0426911
+0.0412948
+0.0396736
+0.0381094
+0.0366096
+0.0351822
+0.0338366
+0.0325829
+0.031432
+0.0303956
+0.0294758
+0.0286726
+0.0280181
+0.0275228
+0.0271956
+0.0270423
+0.0270641
+0.0257915
+0.0240974
+0.022383
+0.020733
+0.0191512
+0.017469
+0.01567
+0.0139831
+0.0124273
+0.0109127
+0.00955851
+0.0085036
+0.00783124
+0.00765102
+0.00795002
+0.00856207
+0.00720643
+0.00605496
+0.00512073
+0.00374651
+0.00210565
+0.000712401
+8.76231e-05
+0.00166224
+0.00282209
+0.00438896
+0.00624163
+0.00823042
+0.0103007
+0.0123419
+0.0143199
+0.0163494
+0.0183477
+0.0199152
+0.0212361
+0.0226817
+0.0222388
+0.0203739
+0.0185629
+0.0168068
+0.0151632
+0.0134498
+0.0116353
+0.00983727
+0.00816076
+0.00673984
+0.00568553
+0.0053246
+0.00563508
+0.00652853
+0.00774143
+0.00924685
+0.0109657
+0.0423503
+0.0417774
+0.0413129
+0.0409604
+0.0407229
+0.0406024
+0.0405999
+0.0407043
+0.0409142
+0.0412396
+0.0416777
+0.0422251
+0.0428776
+0.0436305
+0.0444785
+0.0454165
+0.046439
+0.0475405
+0.0487157
+0.0499537
+0.0512479
+0.0526016
+0.0540102
+0.0533598
+0.0516638
+0.0500062
+0.048391
+0.0468212
+0.0453024
+0.0438405
+0.0424414
+0.0409687
+0.0393341
+0.0377558
+0.0362413
+0.0347989
+0.0334379
+0.0321686
+0.0310023
+0.0299511
+0.0290172
+0.0282009
+0.0275352
+0.0270311
+0.0266978
+0.0265417
+0.0265639
+0.0263494
+0.025469
+0.023826
+0.0222465
+0.0205065
+0.018743
+0.0170787
+0.0155234
+0.014007
+0.0126133
+0.0114256
+0.0105397
+0.00998857
+0.00983834
+0.00942063
+0.00794972
+0.00676192
+0.0056152
+0.00488081
+0.00374733
+0.00238521
+0.00118739
+0.000479964
+0.00175088
+0.00344594
+0.00485494
+0.00659993
+0.0085131
+0.0105279
+0.0125989
+0.01468
+0.0163772
+0.0176461
+0.0189133
+0.0203037
+0.0217364
+0.0232236
+0.0215762
+0.019845
+0.0180725
+0.0161081
+0.0141844
+0.0123464
+0.0106099
+0.00904178
+0.00774413
+0.00686807
+0.00652588
+0.00676833
+0.00756034
+0.00868417
+0.0100932
+0.0116952
+0.0440912
+0.0435413
+0.0430957
+0.042758
+0.0425305
+0.0424151
+0.0424127
+0.0425221
+0.0427233
+0.043035
+0.0434551
+0.0439804
+0.0446072
+0.0453313
+0.0461481
+0.0470528
+0.0480405
+0.0491061
+0.0502447
+0.0514498
+0.0527073
+0.0540245
+0.0549849
+0.0532505
+0.0515508
+0.0498895
+0.0482704
+0.0466965
+0.0451736
+0.0437073
+0.0423038
+0.0407579
+0.0391145
+0.037527
+0.0360029
+0.0345505
+0.0331793
+0.0318997
+0.0307232
+0.0296621
+0.0287188
+0.0278938
+0.0272206
+0.0267105
+0.0263732
+0.0262151
+0.0262376
+0.0260561
+0.025481
+0.0250847
+0.0235598
+0.0218231
+0.020175
+0.0186201
+0.0171027
+0.0156781
+0.0144213
+0.0133911
+0.0126145
+0.0121578
+0.0109875
+0.00929373
+0.00782037
+0.00665041
+0.00583751
+0.00511706
+0.00430525
+0.00245683
+0.00101941
+0.000253065
+0.00148183
+0.00325915
+0.00505034
+0.00700764
+0.00898854
+0.0109451
+0.012895
+0.0142691
+0.0155241
+0.016794
+0.0180555
+0.019425
+0.0208879
+0.0224303
+0.0227336
+0.0207296
+0.0187673
+0.0168613
+0.0150189
+0.0132694
+0.0116665
+0.0102567
+0.00914259
+0.00838918
+0.00809086
+0.00831683
+0.00895497
+0.00996038
+0.0112218
+0.0127053
+0.0458707
+0.0453423
+0.0449147
+0.0445907
+0.0443726
+0.044262
+0.0442597
+0.0443655
+0.0445592
+0.0448581
+0.0452613
+0.0457658
+0.0463685
+0.0470655
+0.0478528
+0.0487259
+0.0496803
+0.0507114
+0.0518147
+0.0529857
+0.054216
+0.0554973
+0.0549661
+0.0532311
+0.0515308
+0.0498688
+0.048249
+0.0466745
+0.0451507
+0.0436838
+0.0422794
+0.0406642
+0.0390168
+0.0374252
+0.0358968
+0.0344399
+0.0330641
+0.0317799
+0.0305988
+0.0295332
+0.0285857
+0.0277567
+0.0270801
+0.0265673
+0.0262281
+0.0260692
+0.0260918
+0.0259451
+0.0253675
+0.0249694
+0.0247562
+0.0232718
+0.0217173
+0.0201992
+0.0187539
+0.0174528
+0.0163202
+0.0154154
+0.014723
+0.0130495
+0.0112376
+0.00958533
+0.00818475
+0.00709107
+0.00646371
+0.0058515
+0.0036929
+0.00158452
+-0.000399477
+-0.00122723
+0.000639281
+0.00264215
+0.00461271
+0.00669288
+0.00881861
+0.010932
+0.0125005
+0.0136379
+0.0148207
+0.0159262
+0.0172159
+0.0186463
+0.0202053
+0.021796
+0.0234528
+0.0215158
+0.0196323
+0.0178191
+0.0160866
+0.0144545
+0.0129788
+0.0117279
+0.0107555
+0.0101051
+0.00986673
+0.0100446
+0.0106026
+0.0114668
+0.0125896
+0.0139513
+0.0476844
+0.0471764
+0.0467655
+0.0464544
+0.0462451
+0.046139
+0.0461368
+0.0462385
+0.0464258
+0.0467128
+0.0471001
+0.0475852
+0.0481651
+0.0488365
+0.0495956
+0.0504385
+0.0513611
+0.0523592
+0.0534285
+0.0545648
+0.055764
+0.056795
+0.0550293
+0.0532952
+0.0515958
+0.0499346
+0.0483157
+0.0467435
+0.0452227
+0.0437588
+0.0423576
+0.0406884
+0.039042
+0.0374515
+0.0359242
+0.0344685
+0.0330939
+0.0318108
+0.0306309
+0.0295664
+0.0286158
+0.0277878
+0.0271119
+0.0265998
+0.026261
+0.0261023
+0.0261049
+0.0260188
+0.0254428
+0.0250459
+0.0248192
+0.0247647
+0.023296
+0.0218359
+0.0205042
+0.0193022
+0.0182845
+0.0173462
+0.0154483
+0.0136107
+0.0118766
+0.0103073
+0.00900139
+0.00804602
+0.00752732
+0.00574114
+0.00357716
+0.00143265
+-0.000703955
+-0.00180977
+0.000326882
+0.00249011
+0.00466016
+0.00684286
+0.00897421
+0.0110175
+0.0119895
+0.0130978
+0.0141189
+0.0152752
+0.0166156
+0.0180936
+0.0197038
+0.0213685
+0.0230873
+0.0224887
+0.0206938
+0.0189558
+0.0173149
+0.0158078
+0.0144708
+0.0133603
+0.0125152
+0.0119609
+0.0117604
+0.0119103
+0.0123676
+0.0131231
+0.0141237
+0.0153647
+0.0495286
+0.0490397
+0.0486446
+0.0483456
+0.0481445
+0.0480426
+0.0480405
+0.0481381
+0.0483197
+0.0485955
+0.0489679
+0.0494346
+0.0499931
+0.0506403
+0.0513727
+0.052187
+0.0530792
+0.0540455
+0.0550821
+0.056185
+0.0573504
+0.0569293
+0.0551679
+0.0534383
+0.0517436
+0.0500873
+0.0484735
+0.0469066
+0.0453912
+0.0439329
+0.0425123
+0.0408224
+0.0391821
+0.0375979
+0.036075
+0.0346223
+0.0332506
+0.0319702
+0.0307927
+0.0297301
+0.0287849
+0.0279619
+0.0272904
+0.0267817
+0.0264452
+0.0262876
+0.0262902
+0.0262508
+0.0257045
+0.0252955
+0.0250512
+0.0249972
+0.024922
+0.0235629
+0.0223158
+0.0212167
+0.0199322
+0.0180403
+0.0162095
+0.0144478
+0.012819
+0.0113804
+0.0101981
+0.00935109
+0.00807695
+0.00593539
+0.00384224
+0.00184294
+0.000183699
+-0.000368615
+0.00100353
+0.00298278
+0.00502847
+0.00713758
+0.00925585
+0.0107941
+0.0116937
+0.0128057
+0.0137343
+0.0149204
+0.0162902
+0.0177952
+0.0194301
+0.0211291
+0.0228947
+0.0236158
+0.0218859
+0.0202454
+0.0187178
+0.0173332
+0.0161232
+0.0151344
+0.0143937
+0.0139144
+0.0137426
+0.0138218
+0.0142012
+0.0148637
+0.0157749
+0.0169091
+0.0514001
+0.0509291
+0.0505487
+0.0502611
+0.0500677
+0.0499697
+0.0499677
+0.0500616
+0.0502377
+0.050503
+0.0508615
+0.051311
+0.0518492
+0.0524735
+0.0531808
+0.0539677
+0.054831
+0.055767
+0.0567721
+0.0578428
+0.058931
+0.0571474
+0.0553929
+0.0536705
+0.0519833
+0.050335
+0.0487294
+0.0471709
+0.0456644
+0.0442151
+0.0427388
+0.0410582
+0.0394277
+0.0378538
+0.0363417
+0.0349
+0.0335397
+0.0322708
+0.0311046
+0.0300531
+0.0291184
+0.0283051
+0.0276418
+0.0271397
+0.0268078
+0.0266523
+0.0266548
+0.0266396
+0.0260774
+0.0256903
+0.0254701
+0.025417
+0.0255523
+0.0253498
+0.0241902
+0.0226471
+0.0207713
+0.0189383
+0.017177
+0.0155255
+0.0140225
+0.0127207
+0.0116749
+0.0105459
+0.00847207
+0.00647567
+0.00459138
+0.00293002
+0.00171753
+0.00151673
+0.00240196
+0.00400967
+0.0059052
+0.0078787
+0.00990016
+0.0108834
+0.0117685
+0.0127621
+0.0136937
+0.0148831
+0.0162561
+0.017764
+0.0193879
+0.0210852
+0.0228665
+0.024704
+0.0232194
+0.0216801
+0.020261
+0.0189892
+0.0178915
+0.0169764
+0.0162798
+0.0158302
+0.0156451
+0.0157296
+0.0160898
+0.0166788
+0.0175225
+0.018553
+0.0532958
+0.0528417
+0.0524752
+0.0521982
+0.052012
+0.0519177
+0.0519157
+0.0520061
+0.0521771
+0.0524327
+0.052778
+0.0532113
+0.0537306
+0.0543332
+0.0550166
+0.0557776
+0.0566133
+0.0575203
+0.0584953
+0.059535
+0.0592228
+0.0574482
+0.0557032
+0.0539907
+0.0523138
+0.0506763
+0.0490818
+0.0475349
+0.0460403
+0.0446032
+0.0430756
+0.0414087
+0.0397926
+0.0382337
+0.0367372
+0.0353117
+0.0339678
+0.0327156
+0.0315658
+0.0305302
+0.0296106
+0.0288112
+0.0281599
+0.0276671
+0.0273416
+0.0271892
+0.0271917
+0.0271767
+0.0266259
+0.0262468
+0.0260471
+0.0260151
+0.0261474
+0.0264609
+0.025449
+0.0235733
+0.0217566
+0.020014
+0.0183562
+0.0168209
+0.0154444
+0.0142729
+0.0132732
+0.0112756
+0.0093366
+0.00751039
+0.00586516
+0.00452102
+0.0036979
+0.00356066
+0.00424035
+0.00545606
+0.00706252
+0.00886303
+0.0107494
+0.0113486
+0.0121999
+0.0130903
+0.014
+0.0151605
+0.0164794
+0.0179694
+0.0195583
+0.0212419
+0.0230111
+0.0248379
+0.0246757
+0.0232251
+0.0218899
+0.0206995
+0.01965
+0.0187979
+0.0181712
+0.0177572
+0.0175924
+0.0176692
+0.0179921
+0.018532
+0.0192948
+0.0202668
+0.0552134
+0.0547752
+0.0544218
+0.0541547
+0.0539753
+0.0538844
+0.0538825
+0.0539696
+0.0541358
+0.0543821
+0.0547152
+0.0551333
+0.0556346
+0.0562168
+0.0568775
+0.057614
+0.0584234
+0.0593027
+0.0602489
+0.0612588
+0.0595937
+0.0578304
+0.0560973
+0.0543972
+0.0527333
+0.0511092
+0.0495287
+0.0479962
+0.0465164
+0.0450945
+0.0435202
+0.041871
+0.0402735
+0.038734
+0.0372576
+0.0358528
+0.03453
+0.0332988
+0.0321699
+0.0311544
+0.0302538
+0.0294718
+0.0288354
+0.0283544
+0.0280369
+0.0278883
+0.0278907
+0.0278761
+0.0273394
+0.0269704
+0.0267761
+0.0267603
+0.0269081
+0.0272129
+0.0264415
+0.0246414
+0.0229095
+0.0212617
+0.0197091
+0.0182877
+0.0170302
+0.0159755
+0.0141829
+0.012296
+0.0105187
+0.00887931
+0.00749408
+0.00637307
+0.0057978
+0.00570344
+0.00617861
+0.00720015
+0.00852978
+0.0101395
+0.0115599
+0.0121596
+0.0129769
+0.0137155
+0.0145776
+0.0156894
+0.0169673
+0.0184178
+0.019969
+0.0216206
+0.0233612
+0.0251625
+0.0261702
+0.0248001
+0.0235543
+0.0224332
+0.0214682
+0.0206911
+0.0201233
+0.0197393
+0.0195912
+0.0196616
+0.0199523
+0.0204521
+0.0211457
+0.0220362
+0.0571506
+0.0567274
+0.0563862
+0.0561284
+0.0559554
+0.0558677
+0.0558659
+0.0559499
+0.0561116
+0.0563493
+0.0566708
+0.0570745
+0.0575589
+0.0581219
+0.0587612
+0.0594744
+0.0602588
+0.0611117
+0.0620303
+0.0618201
+0.0600423
+0.0582926
+0.0565736
+0.0548883
+0.0532398
+0.0516315
+0.0500676
+0.0485521
+0.0470897
+0.0456857
+0.0440694
+0.0424415
+0.0408663
+0.03935
+0.0378976
+0.0365175
+0.0352196
+0.0340135
+0.0329091
+0.031917
+0.0310353
+0.0302732
+0.0296537
+0.0291859
+0.0288772
+0.0287326
+0.028737
+0.028726
+0.0282054
+0.0278478
+0.0276597
+0.0276444
+0.0278023
+0.0281158
+0.0275726
+0.0258514
+0.0242063
+0.0226529
+0.0212025
+0.0198881
+0.0187384
+0.0171455
+0.0153104
+0.0135619
+0.0119365
+0.0104994
+0.00929661
+0.00838547
+0.00794686
+0.0078716
+0.00822881
+0.00906924
+0.0102285
+0.0116163
+0.0127009
+0.013258
+0.0140028
+0.0146267
+0.015438
+0.0164946
+0.0177145
+0.0191084
+0.0206056
+0.02221
+0.0239076
+0.0256705
+0.0274833
+0.0264627
+0.0252896
+0.0242406
+0.0233504
+0.022638
+0.022113
+0.0217614
+0.0216271
+0.0216923
+0.0219561
+0.0224218
+0.0230563
+0.0238756
+0.0591056
+0.0586964
+0.0583667
+0.0581178
+0.0579506
+0.057866
+0.0578642
+0.0579453
+0.0581028
+0.0583324
+0.058643
+0.0590333
+0.0595017
+0.0600465
+0.0606655
+0.0613566
+0.0621172
+0.062945
+0.0638372
+0.0623296
+0.0605668
+0.0588327
+0.05713
+0.0554616
+0.0538306
+0.0522406
+0.0506954
+0.0491993
+0.0477567
+0.0463707
+0.0447193
+0.0431159
+0.0415663
+0.0400765
+0.0386514
+0.0372991
+0.0360294
+0.0348513
+0.0337744
+0.032793
+0.0319228
+0.0311824
+0.0305814
+0.030128
+0.029829
+0.0296891
+0.0296936
+0.0297133
+0.0292103
+0.0288652
+0.0286838
+0.0286691
+0.0288213
+0.0291325
+0.0288261
+0.0271844
+0.025625
+0.0241618
+0.0228075
+0.0213814
+0.0199062
+0.0183462
+0.0166129
+0.0149985
+0.0135453
+0.0122453
+0.0112171
+0.0104624
+0.0101138
+0.0100496
+0.0103368
+0.0110275
+0.0120295
+0.0132846
+0.0140819
+0.0145964
+0.0152602
+0.0157914
+0.0165456
+0.0175381
+0.01869
+0.0200159
+0.0214481
+0.0229938
+0.0246375
+0.0263515
+0.0281204
+0.0281968
+0.0270836
+0.0261067
+0.0252824
+0.0246259
+0.0241351
+0.0238134
+0.0236907
+0.0237514
+0.0239926
+0.0244279
+0.0250128
+0.02577
+0.0610765
+0.0606807
+0.0603618
+0.0601211
+0.0599595
+0.0598777
+0.059876
+0.0599544
+0.0601079
+0.0603299
+0.0606302
+0.0610078
+0.0614612
+0.0619888
+0.0625886
+0.0632586
+0.0639967
+0.0648004
+0.0646846
+0.0629114
+0.0611654
+0.0594487
+0.0577642
+0.0561146
+0.0545032
+0.0529334
+0.051409
+0.0499343
+0.0485136
+0.0470907
+0.0454655
+0.0438895
+0.0423681
+0.0409075
+0.0395124
+0.0381906
+0.0369516
+0.0358038
+0.0347387
+0.0337766
+0.0329324
+0.0322152
+0.0316338
+0.0311957
+0.0309071
+0.030772
+0.0307766
+0.030825
+0.0303404
+0.0300083
+0.0298339
+0.0298197
+0.0299661
+0.0302655
+0.0299096
+0.0283883
+0.0269593
+0.0255626
+0.0239776
+0.0224917
+0.0210772
+0.0196778
+0.0180716
+0.0165996
+0.0152533
+0.0141107
+0.0132182
+0.0125776
+0.0122892
+0.0122321
+0.0124734
+0.0130515
+0.013938
+0.0150454
+0.0156241
+0.0161224
+0.0166701
+0.0171578
+0.0178545
+0.0187802
+0.0198602
+0.0211124
+0.0224733
+0.0239529
+0.0255349
+0.0271924
+0.0289099
+0.0299773
+0.0289323
+0.0280199
+0.0272535
+0.0266456
+0.0261844
+0.0258881
+0.0257753
+0.0258322
+0.0260542
+0.0264563
+0.0270053
+0.0277081
+0.0630619
+0.0626786
+0.06237
+0.0621371
+0.0619808
+0.0619016
+0.0619
+0.0619758
+0.0621256
+0.0623403
+0.062631
+0.0629966
+0.0634358
+0.0639471
+0.0645287
+0.0651788
+0.0658953
+0.0666762
+0.0653189
+0.0635634
+0.0618358
+0.0601383
+0.0584736
+0.0568446
+0.0552545
+0.0537067
+0.0522049
+0.0507532
+0.0493562
+0.047892
+0.0462949
+0.0447481
+0.0432569
+0.0418274
+0.040466
+0.0391798
+0.0379766
+0.0368425
+0.035803
+0.0348702
+0.0340531
+0.0333601
+0.0327989
+0.0323766
+0.0320986
+0.0319686
+0.0319732
+0.0320199
+0.0315537
+0.0312345
+0.0310669
+0.0310533
+0.031194
+0.0314868
+0.0308308
+0.0293572
+0.0279777
+0.0266634
+0.0251436
+0.023718
+0.0223768
+0.0211515
+0.0196665
+0.0182914
+0.0170712
+0.0160584
+0.0152714
+0.0147149
+0.0144692
+0.014417
+0.0146259
+0.015122
+0.0159064
+0.0168973
+0.0172976
+0.017764
+0.0182144
+0.0186478
+0.0192907
+0.0201525
+0.0211928
+0.0223515
+0.0236361
+0.0250468
+0.0265634
+0.0281689
+0.0298396
+0.0315652
+0.0308258
+0.0299711
+0.0292559
+0.0286904
+0.0282548
+0.0279805
+0.0278762
+0.0279298
+0.0281352
+0.028508
+0.0290264
+0.0296814
+0.0650606
+0.0646891
+0.0643901
+0.0641645
+0.0640132
+0.0639365
+0.0639349
+0.0640084
+0.0641546
+0.0643626
+0.0646442
+0.0649984
+0.0654242
+0.06592
+0.0664844
+0.0671156
+0.0678116
+0.0677824
+0.0660198
+0.0642835
+0.0625757
+0.0608989
+0.0592556
+0.0576487
+0.0560814
+0.054557
+0.0530793
+0.0516522
+0.0502801
+0.0487677
+0.0472002
+0.045684
+0.0442245
+0.0428272
+0.0414986
+0.0402455
+0.0390751
+0.0379742
+0.0369665
+0.0360639
+0.0352745
+0.0346059
+0.0340653
+0.0336589
+0.0333915
+0.0332666
+0.0332711
+0.0333154
+0.0328676
+0.0325613
+0.0324006
+0.0323875
+0.0325224
+0.0328033
+0.0318761
+0.0304531
+0.0291168
+0.0278749
+0.0264249
+0.0250718
+0.0238075
+0.0226597
+0.0213468
+0.0200733
+0.018968
+0.0180612
+0.0173539
+0.016866
+0.016652
+0.0166035
+0.0167883
+0.0172222
+0.0179149
+0.0187629
+0.0190735
+0.0195084
+0.0198526
+0.0202644
+0.0208577
+0.0216571
+0.0226379
+0.0237056
+0.0249205
+0.0262623
+0.0277125
+0.029255
+0.0308759
+0.0325547
+0.0327564
+0.0319534
+0.0312835
+0.0307518
+0.0303422
+0.0300869
+0.0299899
+0.0300407
+0.0302318
+0.030579
+0.0310705
+0.0316832
+0.0670712
+0.0667109
+0.066421
+0.0662023
+0.0660557
+0.0659814
+0.0659799
+0.066051
+0.0661938
+0.0663955
+0.0666685
+0.0670121
+0.0674251
+0.0679063
+0.0684543
+0.0690675
+0.0697441
+0.0685282
+0.0667853
+0.0650694
+0.0633828
+0.0617279
+0.0601073
+0.0585238
+0.0569805
+0.0554808
+0.0540284
+0.0526271
+0.0512811
+0.0497245
+0.0481882
+0.0467041
+0.0452774
+0.0439137
+0.042619
+0.0413998
+0.0402629
+0.0391958
+0.0382203
+0.0373481
+0.0365863
+0.0359421
+0.0354219
+0.0350313
+0.0347745
+0.0346545
+0.0346591
+0.034701
+0.0342713
+0.0339776
+0.0338236
+0.0338111
+0.0339403
+0.0342096
+0.0330334
+0.0316523
+0.030358
+0.0291709
+0.0278199
+0.0265376
+0.0253469
+0.024272
+0.0231008
+0.0219294
+0.0209224
+0.0200932
+0.0194599
+0.019026
+0.0188366
+0.018791
+0.0189573
+0.0193426
+0.0199618
+0.0206214
+0.0209206
+0.0213008
+0.021589
+0.0219713
+0.0225289
+0.023271
+0.0241752
+0.0251778
+0.0263248
+0.0275984
+0.0289818
+0.0304601
+0.0320201
+0.0336418
+0.0347179
+0.0339613
+0.0333318
+0.0328266
+0.0324432
+0.0322046
+0.032114
+0.0321623
+0.0323408
+0.0326656
+0.0331321
+0.0337086
+0.0690927
+0.0687431
+0.0684618
+0.0682496
+0.0681074
+0.0680354
+0.0680339
+0.0681029
+0.068242
+0.0684381
+0.068703
+0.0690365
+0.0694375
+0.0699048
+0.0704373
+0.0710333
+0.0710831
+0.0693352
+0.0676131
+0.0659187
+0.0642545
+0.0626226
+0.0610257
+0.0594667
+0.0579485
+0.0564746
+0.0550484
+0.0536737
+0.0523105
+0.0507579
+0.0492538
+0.0478028
+0.0464099
+0.0450805
+0.0438203
+0.0426354
+0.0415324
+0.0404991
+0.0395558
+0.0387136
+0.0379793
+0.0373591
+0.036859
+0.0364837
+0.0362372
+0.0361221
+0.0361266
+0.0361662
+0.0357541
+0.0354728
+0.0353253
+0.0353133
+0.035437
+0.0356721
+0.034269
+0.0329437
+0.0317021
+0.0305602
+0.0293124
+0.0280886
+0.0269707
+0.0259623
+0.0249239
+0.0238423
+0.0229195
+0.0221554
+0.0215827
+0.0211924
+0.0210225
+0.0209791
+0.0211307
+0.021477
+0.0220363
+0.0225397
+0.0228274
+0.0231518
+0.0234018
+0.0237549
+0.0242798
+0.0249699
+0.025807
+0.0267485
+0.0278309
+0.0290385
+0.0303564
+0.0317707
+0.0332694
+0.0348329
+0.0364214
+0.0359905
+0.0353971
+0.0349155
+0.0345553
+0.0343314
+0.0342464
+0.0342925
+0.03446
+0.034765
+0.035204
+0.0357534
+0.0711243
+0.0707847
+0.0705115
+0.0703056
+0.0701675
+0.0700976
+0.0700961
+0.0701631
+0.0702983
+0.0704897
+0.0707469
+0.0710707
+0.0714603
+0.0719146
+0.0724322
+0.073012
+0.0719282
+0.0702013
+0.068501
+0.0668292
+0.0651881
+0.0635802
+0.062008
+0.0604743
+0.0589821
+0.0575346
+0.0561349
+0.0547869
+0.0533838
+0.0518633
+0.0503922
+0.048975
+0.0476163
+0.0463215
+0.045096
+0.0439456
+0.0428763
+0.0418766
+0.040965
+0.0401524
+0.0394448
+0.0388481
+0.0383673
+0.0380069
+0.0377704
+0.0376599
+0.0376645
+0.0377019
+0.0373067
+0.0370372
+0.0368959
+0.0368845
+0.037003
+0.036946
+0.0355918
+0.0343241
+0.033132
+0.0320371
+0.0308754
+0.0297081
+0.0286511
+0.0277039
+0.0268022
+0.0257994
+0.024944
+0.0242402
+0.0237165
+0.0233633
+0.0232093
+0.0231677
+0.0233073
+0.0236218
+0.0241314
+0.0245037
+0.0247811
+0.0250576
+0.0252745
+0.0256018
+0.0260896
+0.026733
+0.0275062
+0.0284015
+0.0294231
+0.0305679
+0.0318225
+0.0331744
+0.0346123
+0.0361047
+0.0376362
+0.0380376
+0.0374766
+0.0370162
+0.0366766
+0.0364657
+0.0363858
+0.03643
+0.0365877
+0.0368751
+0.0372892
+0.0378146
+0.0731651
+0.072835
+0.0725695
+0.0723695
+0.0722353
+0.0721674
+0.072166
+0.072231
+0.0723624
+0.0725493
+0.0727993
+0.0731141
+0.0734928
+0.0739346
+0.0744382
+0.0745597
+0.0728294
+0.0711244
+0.0694466
+0.0677981
+0.0661811
+0.0645979
+0.0630511
+0.0615432
+0.0600771
+0.0586562
+0.0572838
+0.0559635
+0.0545239
+0.0530362
+0.0515985
+0.0502154
+0.0488912
+0.0476311
+0.0464401
+0.0453238
+0.0442877
+0.0433185
+0.0424381
+0.0416544
+0.040973
+0.0403989
+0.039937
+0.0395911
+0.0393642
+0.0392584
+0.0392644
+0.0392997
+0.0389208
+0.0386625
+0.0385272
+0.0385162
+0.0386297
+0.0382849
+0.0369798
+0.0357614
+0.0346378
+0.033592
+0.0325036
+0.0313969
+0.0303965
+0.0295055
+0.0287244
+0.0277911
+0.0269912
+0.0263422
+0.0258578
+0.0255376
+0.0253968
+0.0253531
+0.0254864
+0.0257743
+0.0262422
+0.0265032
+0.0267632
+0.0270067
+0.0271948
+0.0274992
+0.0279539
+0.0285426
+0.0292645
+0.0301232
+0.0310883
+0.0321739
+0.0333681
+0.0346598
+0.0360385
+0.0374492
+0.0389278
+0.0401
+0.0395667
+0.0391268
+0.0388057
+0.0386064
+0.0385309
+0.0385734
+0.0387224
+0.0389941
+0.0393859
+0.0398896
+0.0752143
+0.0748932
+0.0746351
+0.0744405
+0.0743101
+0.0742441
+0.0742428
+0.074306
+0.0744337
+0.0746165
+0.0748595
+0.0751657
+0.0755341
+0.075964
+0.0764543
+0.0754931
+0.0737846
+0.0721022
+0.0704477
+0.0688232
+0.0672309
+0.0656726
+0.0641512
+0.0626696
+0.0612304
+0.0598369
+0.0584922
+0.0571999
+0.0557256
+0.0542707
+0.0528667
+0.0515176
+0.0502278
+0.049002
+0.0478452
+0.0467625
+0.045745
+0.0448053
+0.0439547
+0.0431986
+0.0425419
+0.0419894
+0.0415452
+0.0412128
+0.040995
+0.0408935
+0.0409024
+0.0409499
+0.0405864
+0.0403387
+0.0402091
+0.0401986
+0.0403073
+0.0396996
+0.0384426
+0.037272
+0.0361963
+0.0352058
+0.0341947
+0.0331445
+0.0321965
+0.0313566
+0.0306505
+0.0298095
+0.0290594
+0.0284576
+0.0280067
+0.0277144
+0.0275847
+0.0275391
+0.0276661
+0.0279327
+0.028365
+0.0285308
+0.0287725
+0.0289725
+0.0291506
+0.0294348
+0.0298626
+0.030399
+0.0310778
+0.031891
+0.032805
+0.0338355
+0.034973
+0.0362074
+0.037518
+0.0388707
+0.0402972
+0.0417806
+0.0416633
+0.0412457
+0.0409412
+0.0407524
+0.0406809
+0.0407218
+0.040863
+0.0411205
+0.0414923
+0.0419751
+0.0772712
+0.0769588
+0.0767076
+0.0765183
+0.0763914
+0.0763273
+0.0763259
+0.0763874
+0.0765116
+0.0766905
+0.076927
+0.0772249
+0.0775836
+0.0780022
+0.0781888
+0.0764778
+0.0747918
+0.0731326
+0.0715018
+0.0699014
+0.0683337
+0.0668011
+0.0653061
+0.0638512
+0.0624393
+0.0610734
+0.0597565
+0.058454
+0.0569846
+0.0555628
+0.0541922
+0.0528769
+0.0516211
+0.0504292
+0.0493059
+0.0482485
+0.047257
+0.0463479
+0.0455261
+0.0447965
+0.0441636
+0.0436316
+0.0432043
+0.0428848
+0.0426755
+0.042578
+0.0425869
+0.0426402
+0.0422912
+0.0420536
+0.0419292
+0.0419192
+0.0420235
+0.0411824
+0.039972
+0.0388475
+0.0378166
+0.0368701
+0.0359398
+0.0349421
+0.0340422
+0.033249
+0.032584
+0.0318462
+0.0311443
+0.0305836
+0.0301617
+0.0298917
+0.0297692
+0.0297257
+0.0298434
+0.0300958
+0.0304974
+0.030581
+0.0308065
+0.0309626
+0.0311257
+0.031392
+0.0317959
+0.0322973
+0.0329371
+0.0337049
+0.0345706
+0.03555
+0.0366343
+0.0378145
+0.0390601
+0.0403612
+0.0417368
+0.0431708
+0.0437691
+0.0433718
+0.0430823
+0.0429029
+0.042835
+0.0428745
+0.0430086
+0.0432534
+0.043607
+0.0440668
+0.0793354
+0.079031
+0.0787865
+0.0786022
+0.0784787
+0.0784162
+0.0784149
+0.0784748
+0.0785957
+0.0787708
+0.0790011
+0.0792912
+0.0796406
+0.0800484
+0.0792006
+0.0775119
+0.0758485
+0.0742126
+0.0726058
+0.0710303
+0.0694881
+0.0679816
+0.0665131
+0.0650852
+0.0637006
+0.0623623
+0.0610733
+0.0597359
+0.0582989
+0.0569099
+0.0555726
+0.0542907
+0.0530684
+0.0519097
+0.0508175
+0.0497808
+0.0488204
+0.0479409
+0.0471469
+0.0464428
+0.0458327
+0.0453203
+0.0449091
+0.0446018
+0.0444005
+0.0443069
+0.0443157
+0.0443742
+0.044039
+0.0438109
+0.0436915
+0.0436819
+0.0437819
+0.042726
+0.0415606
+0.0404803
+0.039492
+0.0385869
+0.0377315
+0.0367824
+0.0359268
+0.0351761
+0.034544
+0.0339013
+0.0332429
+0.032718
+0.0323214
+0.0320697
+0.0319534
+0.0319129
+0.0320226
+0.0322626
+0.0325843
+0.0326494
+0.0328504
+0.0329781
+0.0331271
+0.0333783
+0.0337579
+0.0342306
+0.0348349
+0.0355611
+0.0363825
+0.0373143
+0.0383487
+0.0394777
+0.0406617
+0.0419131
+0.0432394
+0.0446252
+0.0458828
+0.045504
+0.0452282
+0.0450573
+0.0449926
+0.0450309
+0.0451586
+0.0453918
+0.0457288
+0.0461675
+0.0814061
+0.0811095
+0.0808713
+0.0806918
+0.0805715
+0.0805106
+0.0805093
+0.0805677
+0.0806854
+0.0808569
+0.0810813
+0.081364
+0.0817045
+0.0819499
+0.0802589
+0.0785926
+0.0769526
+0.0753406
+0.0737584
+0.0722081
+0.0706916
+0.0692112
+0.0677694
+0.0663685
+0.0650113
+0.0637005
+0.0624391
+0.0610695
+0.0596646
+0.0583082
+0.0570036
+0.0557547
+0.0545652
+0.053439
+0.0523662
+0.0513608
+0.0504305
+0.0495796
+0.0488123
+0.0481325
+0.0475441
+0.0470503
+0.0466544
+0.0463586
+0.0461651
+0.046075
+0.0460838
+0.0461471
+0.0458248
+0.0456057
+0.045491
+0.0454818
+0.0455243
+0.0443242
+0.0432019
+0.0421637
+0.0412158
+0.0403421
+0.0395633
+0.0386592
+0.0378413
+0.0371294
+0.0365278
+0.0359724
+0.0353526
+0.0348572
+0.0344851
+0.0342492
+0.0341385
+0.0341006
+0.0342032
+0.0344324
+0.0346716
+0.0347328
+0.0349041
+0.0350147
+0.0351498
+0.0353887
+0.0357465
+0.0361932
+0.0367652
+0.0374534
+0.038234
+0.0391217
+0.0401096
+0.0411904
+0.0423162
+0.0435201
+0.0447988
+0.0461378
+0.0475193
+0.0476415
+0.0473781
+0.0472151
+0.0471533
+0.0471905
+0.0473123
+0.0475349
+0.0478569
+0.0482762
+0.083483
+0.0831938
+0.0829615
+0.0827866
+0.0826693
+0.08261
+0.0826088
+0.0826656
+0.0827804
+0.0829485
+0.0831672
+0.0834428
+0.0837749
+0.0830306
+0.0813621
+0.0797189
+0.0781025
+0.0765147
+0.0749573
+0.0734323
+0.0719416
+0.0704876
+0.0690723
+0.0676984
+0.0663684
+0.065085
+0.063851
+0.0624515
+0.0610784
+0.0597541
+0.0584818
+0.0572651
+0.0561076
+0.0550047
+0.0539595
+0.0529843
+0.052083
+0.0512596
+0.0505178
+0.0498613
+0.0492934
+0.0488174
+0.0484359
+0.0481511
+0.0479648
+0.0478781
+0.0478869
+0.0479546
+0.0476445
+0.0474337
+0.0473236
+0.0473146
+0.0471294
+0.0459712
+0.0448901
+0.0438919
+0.0429712
+0.0421328
+0.0413934
+0.0405653
+0.0397816
+0.0391049
+0.038534
+0.0380569
+0.0374716
+0.0370023
+0.0366519
+0.0364301
+0.0363242
+0.0362886
+0.0363851
+0.0366047
+0.036762
+0.0368286
+0.0369735
+0.0370685
+0.0371911
+0.0374194
+0.0377495
+0.0381727
+0.0387155
+0.0393729
+0.0401197
+0.0409666
+0.041911
+0.0429396
+0.0440176
+0.0451761
+0.0464092
+0.0477031
+0.0490405
+0.0497836
+0.0495316
+0.0493757
+0.0493166
+0.0493527
+0.0494693
+0.0496822
+0.0499904
+0.0503919
+0.0855655
+0.0852834
+0.0850568
+0.0848862
+0.0847718
+0.084714
+0.0847128
+0.0847682
+0.0848802
+0.085045
+0.0852583
+0.0855272
+0.0858246
+0.0841545
+0.0825087
+0.0808888
+0.0792963
+0.0777329
+0.0762004
+0.0747007
+0.0732359
+0.071808
+0.0704193
+0.0690723
+0.0677692
+0.0665128
+0.0652665
+0.0638788
+0.062537
+0.0612442
+0.0600035
+0.0588183
+0.0576889
+0.0566085
+0.0555934
+0.0546474
+0.053774
+0.0529768
+0.0522594
+0.0516251
+0.0510769
+0.0506176
+0.0502497
+0.0499753
+0.0497958
+0.0497123
+0.0497211
+0.0497928
+0.0494943
+0.0492914
+0.0491854
+0.0491768
+0.0487786
+0.0476599
+0.0466173
+0.0456561
+0.0447639
+0.0439597
+0.0432516
+0.0424941
+0.0417465
+0.0411023
+0.0405593
+0.040115
+0.0395984
+0.0391524
+0.0388215
+0.0386121
+0.0385105
+0.0384769
+0.0385679
+0.0387791
+0.0388564
+0.0389348
+0.0390504
+0.0391348
+0.0392485
+0.0394671
+0.0397703
+0.0401723
+0.0406884
+0.0413144
+0.042035
+0.042844
+0.0437479
+0.0447246
+0.0457606
+0.0468761
+0.0480656
+0.0493161
+0.0506109
+0.0519298
+0.0516883
+0.0515389
+0.0514823
+0.0515174
+0.0516291
+0.0518331
+0.0521286
+0.0525138
+0.0872826
+0.0858786
+0.0844393
+0.083014
+0.0816227
+0.0802643
+0.0789101
+0.0775087
+0.0761218
+0.0747733
+0.0734655
+0.0721999
+0.0709589
+0.0696733
+0.068411
+0.0671845
+0.0659728
+0.0647386
+0.0635363
+0.062377
+0.06127
+0.0601909
+0.059094
+0.0580285
+0.0570273
+0.0560938
+0.0552282
+0.0544148
+0.0535829
+0.0526623
+0.0518098
+0.0510256
+0.0502615
+0.0495825
+0.0489514
+0.0483758
+0.0478935
+0.0475015
+0.0471551
+0.0464881
+0.0458988
+0.0454002
+0.0449719
+0.0446234
+0.0443748
+0.0442181
+0.0441675
+0.0442067
+0.0443431
+0.0445562
+0.0448754
+0.0452914
+0.0457951
+0.0463968
+0.0470759
+0.0478135
+0.0486296
+0.0495292
+0.0505079
+0.0515611
+0.0520036
+0.050826
+0.0497172
+0.0486817
+0.0477243
+0.04685
+0.0460632
+0.0453632
+0.0447542
+0.0442454
+0.0438403
+0.0435417
+0.043352
+0.0432724
+0.0433037
+0.0434393
+0.0436695
+0.0440076
+0.0444512
+0.0449877
+0.0456231
+0.0463533
+0.047174
+0.0480707
+0.0490078
+0.0499732
+0.0510119
+0.052122
+0.0532991
+0.0545388
+0.0558284
+0.0571687
+0.0584974
+0.0598534
+0.0612578
+0.0627073
+0.0641989
+0.0657296
+0.0672968
+0.0688981
+0.0856268
+0.0841952
+0.0827967
+0.0813495
+0.0799292
+0.0785442
+0.0771862
+0.0758355
+0.074425
+0.0730453
+0.071706
+0.0704093
+0.0691569
+0.0679005
+0.0666274
+0.0653697
+0.0641599
+0.062944
+0.0617075
+0.0605232
+0.059382
+0.0582877
+0.057218
+0.056117
+0.055081
+0.054114
+0.0532188
+0.0523921
+0.0515993
+0.0506794
+0.0497994
+0.048994
+0.0482152
+0.047507
+0.046871
+0.0462695
+0.0457651
+0.045361
+0.0450021
+0.0444512
+0.0438345
+0.0433194
+0.0428871
+0.0425216
+0.042263
+0.0420984
+0.0420476
+0.0420903
+0.0422359
+0.0424618
+0.0427966
+0.0432282
+0.0437557
+0.0443851
+0.0450861
+0.0458482
+0.0466987
+0.0476348
+0.0486515
+0.0497402
+0.0501984
+0.0489774
+0.0478257
+0.0467484
+0.0457506
+0.0448377
+0.0440151
+0.0432857
+0.0426471
+0.0421128
+0.041687
+0.0413729
+0.0411732
+0.0410894
+0.0411224
+0.0412636
+0.0415058
+0.0418614
+0.0423253
+0.0428882
+0.0435542
+0.0443185
+0.0451718
+0.0461045
+0.0470378
+0.0480401
+0.0491197
+0.0502716
+0.051491
+0.0527683
+0.0540974
+0.0554757
+0.0568333
+0.0582281
+0.0596708
+0.0611579
+0.0626863
+0.0642531
+0.0658555
+0.0674763
+0.0839955
+0.0825356
+0.0811085
+0.0797104
+0.0782604
+0.0768454
+0.0754674
+0.0741097
+0.0727547
+0.0713426
+0.0699707
+0.0686413
+0.0673569
+0.066119
+0.0648458
+0.0635785
+0.062334
+0.0611311
+0.0599029
+0.0586834
+0.0575153
+0.056398
+0.0553162
+0.0542265
+0.0531538
+0.0521511
+0.0512224
+0.0503675
+0.0495618
+0.0487143
+0.0478003
+0.0469653
+0.0461808
+0.0454409
+0.0447959
+0.0441715
+0.0436428
+0.0432188
+0.0428528
+0.0424296
+0.0417831
+0.041243
+0.0408005
+0.0404292
+0.0401595
+0.0399864
+0.0399329
+0.0399818
+0.0401351
+0.0403777
+0.0407296
+0.0411782
+0.0417315
+0.042391
+0.04311
+0.0439042
+0.0447916
+0.0457667
+0.0468241
+0.0479499
+0.048425
+0.0471581
+0.0459609
+0.0448387
+0.0437975
+0.042843
+0.0419813
+0.0412181
+0.0405488
+0.0399866
+0.0395378
+0.0392066
+0.0389957
+0.0389073
+0.0389421
+0.0390895
+0.0393451
+0.03972
+0.0402061
+0.0407983
+0.0414978
+0.0422994
+0.0431877
+0.0441208
+0.0450853
+0.04613
+0.0472533
+0.0484496
+0.0497129
+0.0510293
+0.0523967
+0.0538182
+0.055206
+0.0566409
+0.0581229
+0.0596487
+0.0612148
+0.0628183
+0.0643894
+0.06583
+0.0823674
+0.0809013
+0.0794449
+0.0780228
+0.0766178
+0.0751719
+0.0737628
+0.0723924
+0.0710351
+0.0696673
+0.0682617
+0.0668983
+0.0655798
+0.0643089
+0.0630814
+0.0617955
+0.0605323
+0.0593048
+0.0580977
+0.0568672
+0.0556674
+0.0545173
+0.0534183
+0.0523593
+0.0512477
+0.0502069
+0.0492417
+0.0483546
+0.0475346
+0.0467436
+0.0458164
+0.0449503
+0.0441612
+0.0433868
+0.0427109
+0.0420828
+0.0415276
+0.0410818
+0.0407081
+0.0404074
+0.0397466
+0.0391783
+0.0387218
+0.0383478
+0.0380647
+0.0378834
+0.0378268
+0.0378827
+0.0380444
+0.0383054
+0.038676
+0.0391434
+0.0397251
+0.0404154
+0.0411533
+0.0419846
+0.0429116
+0.0439285
+0.0450287
+0.0461941
+0.046687
+0.0453717
+0.044126
+0.0429559
+0.0418679
+0.0408684
+0.0399641
+0.0391616
+0.0384609
+0.0378676
+0.0373935
+0.0370431
+0.0368198
+0.0367262
+0.036763
+0.0369173
+0.0371878
+0.0375843
+0.038095
+0.0387195
+0.0394559
+0.0402948
+0.0412227
+0.0421512
+0.0431557
+0.044246
+0.0454159
+0.0466593
+0.0479635
+0.0493202
+0.0507337
+0.0521868
+0.0536188
+0.055095
+0.0566176
+0.0581828
+0.0597873
+0.0613036
+0.0627386
+0.0642163
+0.0807519
+0.0792727
+0.0778073
+0.0763548
+0.0749381
+0.0735257
+0.0720843
+0.0706815
+0.0693195
+0.0679627
+0.0665809
+0.0651824
+0.0638284
+0.0625219
+0.0612659
+0.0600284
+0.0587501
+0.0574916
+0.056283
+0.0550716
+0.0538386
+0.05266
+0.051531
+0.0504448
+0.0493653
+0.0482839
+0.0472794
+0.0463567
+0.0455149
+0.0447188
+0.0438523
+0.0429465
+0.0421313
+0.0413468
+0.0406369
+0.0400051
+0.0394206
+0.0389507
+0.0385685
+0.0382665
+0.0377273
+0.0371282
+0.0366504
+0.0362791
+0.03598
+0.0357908
+0.0357309
+0.0357946
+0.0359657
+0.0362471
+0.0366345
+0.0371264
+0.0377392
+0.0384546
+0.0392214
+0.0400927
+0.0410625
+0.042124
+0.0432653
+0.0444769
+0.0449886
+0.0436221
+0.042325
+0.0411037
+0.0399652
+0.0389169
+0.0379662
+0.0371205
+0.0363851
+0.0357574
+0.0352549
+0.0348829
+0.0346458
+0.0345462
+0.0345854
+0.0347475
+0.0350348
+0.0354553
+0.0359935
+0.0366538
+0.0374309
+0.0383086
+0.0392368
+0.0402001
+0.0412522
+0.0423915
+0.0436111
+0.0449018
+0.0462465
+0.0476504
+0.0490993
+0.0505731
+0.0520623
+0.0535859
+0.0551545
+0.0567552
+0.0582192
+0.0596479
+0.0611218
+0.062626
+0.0791298
+0.0776594
+0.0761783
+0.0747137
+0.0732653
+0.0718545
+0.0704341
+0.0689977
+0.0676018
+0.0662437
+0.0648927
+0.0634956
+0.0621049
+0.0607614
+0.0594682
+0.0582287
+0.0569743
+0.0557056
+0.0544574
+0.053261
+0.0520378
+0.0508184
+0.0496592
+0.0485513
+0.047487
+0.0463847
+0.0453381
+0.044375
+0.0434982
+0.0426864
+0.0418935
+0.0409619
+0.0401106
+0.039323
+0.0385759
+0.0379338
+0.0373233
+0.0368267
+0.0364349
+0.0361152
+0.0357116
+0.035095
+0.0345892
+0.0342051
+0.0339086
+0.0337107
+0.0336472
+0.0337195
+0.033901
+0.0342052
+0.0346099
+0.0351301
+0.0357772
+0.036512
+0.037318
+0.0382327
+0.0392485
+0.0403552
+0.0415425
+0.0428029
+0.0433345
+0.0419141
+0.0405623
+0.0392862
+0.0380935
+0.0369922
+0.0359906
+0.0350974
+0.034321
+0.0336574
+0.033123
+0.0327269
+0.032474
+0.0323678
+0.0324096
+0.0325805
+0.0328867
+0.0333325
+0.0339032
+0.0346034
+0.0354237
+0.0363453
+0.0372676
+0.0382749
+0.0393785
+0.0405704
+0.0418432
+0.0431763
+0.0445693
+0.0460132
+0.0474821
+0.0489699
+0.0504919
+0.0520615
+0.0536616
+0.0551363
+0.0565581
+0.0580277
+0.0595315
+0.0610664
+0.0775356
+0.0760344
+0.0745673
+0.0730843
+0.0716205
+0.0701767
+0.0687723
+0.067343
+0.0659121
+0.0645238
+0.0631661
+0.0618187
+0.0604117
+0.0590296
+0.0576977
+0.0564193
+0.0551982
+0.0539237
+0.0526596
+0.0514308
+0.0502301
+0.0490046
+0.0478082
+0.0466706
+0.0455759
+0.0445122
+0.0434205
+0.0424139
+0.0414987
+0.0406704
+0.0398841
+0.0389994
+0.0381043
+0.0373093
+0.03653
+0.0358586
+0.0352374
+0.0347109
+0.0343086
+0.0339688
+0.033663
+0.0330819
+0.0325448
+0.0321416
+0.0318531
+0.0316455
+0.0315778
+0.0316599
+0.0318532
+0.0321781
+0.0326068
+0.0331585
+0.0338432
+0.0345982
+0.0354478
+0.0364096
+0.0374748
+0.0386269
+0.0398657
+0.0411775
+0.0417297
+0.0402527
+0.0388432
+0.0375087
+0.0362576
+0.0350987
+0.0340415
+0.0330957
+0.0322711
+0.0315697
+0.0309994
+0.0305758
+0.0303049
+0.0301911
+0.0302359
+0.0304168
+0.0307446
+0.0312178
+0.0318265
+0.0325714
+0.0334352
+0.0343569
+0.0353185
+0.0363798
+0.0375392
+0.0387876
+0.0401103
+0.0414906
+0.0429288
+0.044392
+0.0458783
+0.0473983
+0.0489691
+0.0505686
+0.0520552
+0.0534691
+0.0549341
+0.0564374
+0.0579714
+0.0595353
+0.0759712
+0.0744384
+0.0729392
+0.0714744
+0.0699906
+0.0685277
+0.0670888
+0.0656915
+0.0642527
+0.0628278
+0.0614479
+0.0600906
+0.058744
+0.0573293
+0.0559569
+0.0546378
+0.0533761
+0.0521468
+0.0508788
+0.0496201
+0.0484132
+0.0472079
+0.04598
+0.0448092
+0.0436909
+0.0426181
+0.0415299
+0.0404764
+0.0395163
+0.0386523
+0.0378512
+0.0370562
+0.0361193
+0.035285
+0.0345018
+0.0337902
+0.0331648
+0.032605
+0.0321848
+0.0318285
+0.0316141
+0.0310592
+0.0305208
+0.0300959
+0.029797
+0.0295984
+0.029526
+0.0296159
+0.0298258
+0.0301725
+0.0306294
+0.031216
+0.0319424
+0.0327193
+0.0336164
+0.034629
+0.0357419
+0.0369476
+0.0382409
+0.0396065
+0.0401804
+0.0386442
+0.0371737
+0.035777
+0.0344631
+0.0332417
+0.0321234
+0.0311194
+0.030241
+0.029497
+0.0288858
+0.0284307
+0.0281392
+0.0280165
+0.0280648
+0.0282574
+0.0286099
+0.0291143
+0.029766
+0.0305611
+0.0314736
+0.0323885
+0.0333993
+0.0345198
+0.0357395
+0.0370478
+0.0384151
+0.0398465
+0.0413031
+0.0427877
+0.0443054
+0.0458775
+0.0474762
+0.0489762
+0.0503813
+0.0518409
+0.0533437
+0.0548767
+0.0564414
+0.0580455
+0.0744199
+0.0728734
+0.0713413
+0.0698444
+0.068378
+0.0668973
+0.0654355
+0.0640021
+0.0626125
+0.0611631
+0.0597448
+0.0583743
+0.0570176
+0.0556632
+0.0542487
+0.052887
+0.0515825
+0.0503396
+0.0490981
+0.0478391
+0.0465882
+0.0454008
+0.0441848
+0.0429659
+0.0418192
+0.040714
+0.0396703
+0.038566
+0.0375571
+0.0366507
+0.035831
+0.0350433
+0.0341596
+0.0332785
+0.0324948
+0.0317382
+0.0311006
+0.0305111
+0.0300616
+0.0296956
+0.0294657
+0.0290055
+0.0285214
+0.0280681
+0.0277516
+0.0275734
+0.0274957
+0.0275922
+0.027823
+0.0281944
+0.028683
+0.0293086
+0.0300625
+0.0308815
+0.0318304
+0.0328958
+0.0340614
+0.0353245
+0.0366751
+0.0380969
+0.0386931
+0.0370954
+0.0355609
+0.0340982
+0.0327169
+0.0314277
+0.0302425
+0.0291738
+0.0282349
+0.0274392
+0.0267846
+0.0262931
+0.0259777
+0.0258448
+0.025897
+0.0261024
+0.0264836
+0.0270247
+0.0277256
+0.0285705
+0.0294831
+0.0304423
+0.0315156
+0.0327006
+0.0339857
+0.0353435
+0.0367669
+0.0382157
+0.0396982
+0.0412132
+0.0427868
+0.0443846
+0.0458998
+0.0472948
+0.0487484
+0.0502505
+0.0517824
+0.0533478
+0.0549547
+0.0565708
+0.0728821
+0.0713221
+0.0697755
+0.0682442
+0.0667497
+0.0652818
+0.0638044
+0.0623438
+0.0609164
+0.0595326
+0.0580745
+0.0566636
+0.0553035
+0.0539474
+0.0525763
+0.0511702
+0.0498207
+0.0485327
+0.0473106
+0.0460545
+0.044796
+0.0435657
+0.0423739
+0.0411558
+0.0399646
+0.0388402
+0.0377566
+0.0366869
+0.0356248
+0.0346688
+0.0338216
+0.0330346
+0.0322296
+0.0312942
+0.030482
+0.029706
+0.0290421
+0.0284317
+0.0279488
+0.0275717
+0.0273239
+0.0269733
+0.0264876
+0.0260647
+0.0257301
+0.0255681
+0.0254919
+0.0255959
+0.0258508
+0.0262501
+0.0267744
+0.0274435
+0.0282217
+0.0290925
+0.0300979
+0.0312157
+0.0324418
+0.0337655
+0.035176
+0.036656
+0.0372753
+0.035614
+0.0340128
+0.0324804
+0.0310272
+0.0296647
+0.0284059
+0.0272653
+0.0262583
+0.0254007
+0.024699
+0.0241651
+0.0238215
+0.0236765
+0.0237306
+0.0239504
+0.0243654
+0.0249525
+0.0257099
+0.0266109
+0.0275164
+0.0285316
+0.0296741
+0.0309297
+0.032277
+0.0336906
+0.0351302
+0.0366102
+0.038122
+0.0396972
+0.041294
+0.0428205
+0.04421
+0.0456567
+0.0471581
+0.0486886
+0.0502549
+0.0518621
+0.053482
+0.0551414
+0.0713784
+0.0697848
+0.0682243
+0.0666777
+0.0651473
+0.0636555
+0.0621858
+0.0607121
+0.0592528
+0.0578321
+0.0564397
+0.0549869
+0.0535843
+0.0522265
+0.0508798
+0.0494907
+0.0480942
+0.0467586
+0.0454893
+0.0442711
+0.0430174
+0.0417588
+0.0405547
+0.0393582
+0.0381379
+0.0369787
+0.0358621
+0.0348193
+0.0337242
+0.0327127
+0.0318178
+0.0310102
+0.030221
+0.0293392
+0.0284775
+0.0276979
+0.0269848
+0.0263701
+0.025849
+0.0254591
+0.0251906
+0.0249408
+0.0244424
+0.0240845
+0.0237387
+0.023563
+0.0235214
+0.0236342
+0.0239156
+0.0243467
+0.0249122
+0.02563
+0.0264343
+0.0273621
+0.028423
+0.0296025
+0.0308926
+0.03228
+0.0337526
+0.0352923
+0.0358944
+0.0342078
+0.0325386
+0.0309333
+0.0294036
+0.0279621
+0.026623
+0.0254025
+0.0243185
+0.0233899
+0.0226332
+0.0220493
+0.0216722
+0.0215127
+0.0215653
+0.0218062
+0.0222612
+0.0229023
+0.0237196
+0.0246192
+0.0255747
+0.026664
+0.0278831
+0.0292106
+0.0306174
+0.0320471
+0.0335239
+0.0350321
+0.0366091
+0.0382046
+0.039742
+0.0411271
+0.0425658
+0.0440664
+0.0455955
+0.0471626
+0.0487702
+0.0503943
+0.0520599
+0.0537632
+0.0698796
+0.0682831
+0.0666875
+0.0651265
+0.06358
+0.0620505
+0.0605616
+0.05909
+0.0576204
+0.0561625
+0.0547493
+0.0533475
+0.0519006
+0.0505072
+0.04915
+0.0478081
+0.0464068
+0.0450212
+0.0437015
+0.0424539
+0.0412221
+0.0399816
+0.0387311
+0.0375567
+0.0363515
+0.035134
+0.0340032
+0.0329061
+0.0318608
+0.0307881
+0.029838
+0.02901
+0.0282308
+0.02742
+0.0264959
+0.0257151
+0.0249501
+0.0243209
+0.0237656
+0.0233609
+0.023068
+0.0229103
+0.0224247
+0.0220568
+0.0217855
+0.0215939
+0.0215783
+0.0217066
+0.0220105
+0.0224781
+0.0231077
+0.0238672
+0.024712
+0.0257003
+0.0268207
+0.0280677
+0.0294252
+0.0308785
+0.0324149
+0.0340152
+0.0345859
+0.0328321
+0.0311337
+0.0294678
+0.0278579
+0.0263319
+0.0249052
+0.023596
+0.0224248
+0.0214143
+0.0205881
+0.0199498
+0.0195322
+0.019355
+0.0194049
+0.0196723
+0.0201754
+0.0208806
+0.0217643
+0.0226556
+0.0236766
+0.0248492
+0.0261505
+0.0275484
+0.0289672
+0.0304393
+0.0319437
+0.033518
+0.0351167
+0.0366667
+0.0380467
+0.0394761
+0.0409729
+0.042503
+0.0440711
+0.0456792
+0.0473079
+0.0489805
+0.0506926
+0.0524403
+0.0683009
+0.0667824
+0.0651881
+0.0635903
+0.0620288
+0.0604822
+0.0589538
+0.0574682
+0.0559944
+0.0545294
+0.0530732
+0.0516684
+0.050256
+0.0488157
+0.047433
+0.0460764
+0.044736
+0.0433249
+0.0419519
+0.0406507
+0.0394274
+0.0381811
+0.0369474
+0.0357155
+0.0345372
+0.0333305
+0.032148
+0.0310248
+0.029975
+0.0289015
+0.0278871
+0.0270086
+0.0262183
+0.025428
+0.0245499
+0.023713
+0.0229441
+0.0222942
+0.0217033
+0.0212814
+0.0209594
+0.0208547
+0.0204038
+0.0200384
+0.0198253
+0.0196718
+0.0196649
+0.0198195
+0.0201622
+0.0206716
+0.0213755
+0.0221756
+0.0230692
+0.0241161
+0.0253068
+0.0266248
+0.0280522
+0.0295731
+0.0311739
+0.032833
+0.0333699
+0.0315486
+0.0297772
+0.0280649
+0.0264035
+0.0247881
+0.0232671
+0.02186
+0.0205902
+0.0194848
+0.0185729
+0.0178702
+0.0174028
+0.0172037
+0.0172521
+0.0175523
+0.0181144
+0.0188934
+0.0197724
+0.0207217
+0.0218333
+0.0230996
+0.0244818
+0.0258916
+0.0273571
+0.0288574
+0.0304277
+0.0320308
+0.0335955
+0.0349695
+0.0363879
+0.03788
+0.0394114
+0.0409806
+0.0425891
+0.0442232
+0.0459036
+0.0476255
+0.0493846
+0.0511451
+0.0667502
+0.0652031
+0.0636852
+0.0620935
+0.0604933
+0.0589311
+0.0573845
+0.0558572
+0.0543753
+0.0528992
+0.0514358
+0.049985
+0.0485896
+0.0471653
+0.0457327
+0.044362
+0.0430063
+0.0416677
+0.0402455
+0.0388872
+0.0376076
+0.0364054
+0.03515
+0.0339148
+0.0327154
+0.0315329
+0.0303252
+0.0291848
+0.0280724
+0.0270607
+0.0259746
+0.0250335
+0.0242186
+0.0234402
+0.0226486
+0.0217425
+0.0209752
+0.0202622
+0.0196684
+0.0192155
+0.0188696
+0.0187544
+0.0184063
+0.0180465
+0.0178718
+0.017786
+0.0178141
+0.0180013
+0.0183893
+0.0189464
+0.0197079
+0.0205664
+0.0215179
+0.0226334
+0.0238981
+0.0252896
+0.0267882
+0.028377
+0.0300415
+0.0317542
+0.0322571
+0.0303691
+0.0285245
+0.0267322
+0.0250034
+0.0233481
+0.0217265
+0.0202124
+0.0188319
+0.0176165
+0.0166023
+0.0158129
+0.0152827
+0.0150556
+0.0151102
+0.0154521
+0.0160877
+0.0169385
+0.0178154
+0.0188441
+0.02006
+0.0214183
+0.0228222
+0.0242782
+0.025774
+0.0273392
+0.0289476
+0.0305299
+0.0318932
+0.0333015
+0.034788
+0.0363209
+0.0378914
+0.0395004
+0.0411405
+0.0428298
+0.0445628
+0.0463346
+0.0480854
+0.0498616
+0.0652362
+0.0636524
+0.0621054
+0.0605881
+0.0589992
+0.0573963
+0.0558334
+0.0542869
+0.0527609
+0.051283
+0.0498043
+0.0483422
+0.046898
+0.0455135
+0.0440757
+0.0426518
+0.0412944
+0.03994
+0.0385881
+0.0371693
+0.0358283
+0.0345742
+0.0333568
+0.0321316
+0.0308951
+0.0297353
+0.0285488
+0.0273406
+0.0262103
+0.0251518
+0.0241094
+0.0230924
+0.0222383
+0.0214711
+0.0206844
+0.019814
+0.0190161
+0.018267
+0.0176563
+0.0171628
+0.0168054
+0.0166728
+0.0164397
+0.016069
+0.0159255
+0.0158876
+0.0160348
+0.0162741
+0.0166996
+0.0173268
+0.0181296
+0.0190696
+0.0200824
+0.0212733
+0.0226142
+0.02408
+0.0256494
+0.0273045
+0.0290275
+0.0307936
+0.0312584
+0.0293061
+0.02739
+0.0255181
+0.0237009
+0.021952
+0.0202891
+0.0186768
+0.0171733
+0.015831
+0.0146942
+0.013796
+0.0131849
+0.012921
+0.0129845
+0.0133809
+0.0140932
+0.0149593
+0.0158967
+0.0170414
+0.0183663
+0.0197617
+0.0212037
+0.0226945
+0.0242531
+0.0258678
+0.0274715
+0.028813
+0.0302174
+0.0316972
+0.0332318
+0.0348038
+0.0364132
+0.0380602
+0.0397597
+0.0415053
+0.0432783
+0.045031
+0.0468206
+0.0485652
+0.0636996
+0.0621402
+0.0605546
+0.0590077
+0.0574911
+0.0559053
+0.0542995
+0.0527359
+0.0511893
+0.0496647
+0.0481915
+0.0467098
+0.0452493
+0.0438127
+0.0424405
+0.0409874
+0.0395736
+0.0382168
+0.0368751
+0.0355034
+0.034097
+0.0327767
+0.0315519
+0.0303183
+0.0291242
+0.0278926
+0.0267369
+0.0255505
+0.024384
+0.0232657
+0.0222714
+0.0212
+0.0202733
+0.0194762
+0.0187057
+0.0179422
+0.0170655
+0.0163219
+0.015689
+0.0151483
+0.0147778
+0.0146073
+0.0145197
+0.0141381
+0.0140027
+0.0140541
+0.0142862
+0.0146446
+0.0151247
+0.0158229
+0.0166902
+0.0177068
+0.0187931
+0.0200607
+0.0214774
+0.0230158
+0.024653
+0.0263707
+0.0281445
+0.0299626
+0.0303618
+0.0283632
+0.0263889
+0.0244405
+0.0225366
+0.0206895
+0.0189159
+0.0172385
+0.0156462
+0.0141598
+0.0128763
+0.011841
+0.011123
+0.0108088
+0.0108848
+0.0113546
+0.0121537
+0.0130184
+0.0140574
+0.0153328
+0.0167151
+0.0181347
+0.0196209
+0.0211705
+0.0227931
+0.0244172
+0.0257371
+0.0271366
+0.028608
+0.0301446
+0.0317182
+0.0333281
+0.0349832
+0.0366944
+0.0384543
+0.0402168
+0.041983
+0.0437728
+0.0455107
+0.0472862
+0.0621825
+0.0606016
+0.0590443
+0.0574568
+0.0559101
+0.0543941
+0.052812
+0.0512029
+0.0496383
+0.0480918
+0.0465688
+0.0451009
+0.0436159
+0.0421571
+0.0407293
+0.0393707
+0.0379007
+0.0364988
+0.0351429
+0.0338114
+0.0324212
+0.0310298
+0.0297347
+0.0285439
+0.0272932
+0.0261038
+0.0249062
+0.0237563
+0.0225724
+0.0214338
+0.0203644
+0.0193706
+0.0183525
+0.0175251
+0.0167797
+0.0160343
+0.0151752
+0.0144331
+0.0137449
+0.01319
+0.0128036
+0.012584
+0.0125881
+0.0122543
+0.0121533
+0.012294
+0.012606
+0.0131392
+0.0137163
+0.0144859
+0.0154285
+0.0165229
+0.0176822
+0.0190239
+0.0205124
+0.0221179
+0.023817
+0.0255908
+0.0274085
+0.0292724
+0.029593
+0.0275386
+0.025507
+0.0235039
+0.0215328
+0.0195913
+0.0177081
+0.0159038
+0.0142085
+0.0126483
+0.0111927
+0.0099843
+0.00912131
+0.00873548
+0.00882925
+0.00939212
+0.0102276
+0.0111359
+0.0123315
+0.0136916
+0.0150766
+0.0165565
+0.0180932
+0.0197117
+0.0213415
+0.0226672
+0.0240602
+0.0255209
+0.0270599
+0.0286353
+0.0302456
+0.0319102
+0.0336351
+0.0354116
+0.0371614
+0.0389429
+0.0407123
+0.0424624
+0.0442518
+0.0460369
+0.0606766
+0.0590848
+0.0575036
+0.0559487
+0.0543591
+0.0528125
+0.0512973
+0.0497192
+0.0481064
+0.0465409
+0.0449943
+0.0434733
+0.0420114
+0.0405226
+0.0390659
+0.0376482
+0.0362803
+0.0348159
+0.033428
+0.0320737
+0.0307455
+0.0293424
+0.0279694
+0.0267057
+0.0255122
+0.0242864
+0.0231018
+0.0219417
+0.0207959
+0.01963
+0.0185072
+0.0175206
+0.0164983
+0.0155814
+0.0148314
+0.0140779
+0.0133494
+0.0125287
+0.0118424
+0.0113065
+0.0108993
+0.0106273
+0.0106348
+0.0104757
+0.0104184
+0.0105959
+0.0110735
+0.0117054
+0.0124677
+0.0133427
+0.0143915
+0.015559
+0.016785
+0.018193
+0.0197442
+0.0214075
+0.0231587
+0.0249662
+0.0268209
+0.0287229
+0.0288185
+0.0268678
+0.0247812
+0.0227143
+0.0206728
+0.0186652
+0.0167007
+0.0147746
+0.0129322
+0.0112145
+0.00968465
+0.0082923
+0.00723009
+0.00673679
+0.00685795
+0.00751688
+0.00833936
+0.00938679
+0.0107094
+0.0120271
+0.0135026
+0.0150245
+0.0166281
+0.0182543
+0.0196062
+0.0209902
+0.0224369
+0.0239786
+0.025556
+0.0271667
+0.0288426
+0.0305836
+0.0323628
+0.0341136
+0.0359127
+0.0376579
+0.0394219
+0.0412269
+0.0430003
+0.0447884
+0.0592135
+0.0575812
+0.0559871
+0.0544057
+0.0528534
+0.0512614
+0.049715
+0.0482006
+0.0466271
+0.0450101
+0.0434435
+0.0418969
+0.0403781
+0.0389221
+0.03743
+0.0359758
+0.0345703
+0.0331909
+0.0317332
+0.0303609
+0.0290103
+0.0276868
+0.0262682
+0.0249183
+0.0236919
+0.0224807
+0.0213059
+0.0201101
+0.019018
+0.0178618
+0.0167185
+0.0156459
+0.0146764
+0.0137124
+0.0129149
+0.0121812
+0.0115549
+0.0107179
+0.0100174
+0.00945434
+0.00901001
+0.00878169
+0.00874566
+0.00875812
+0.00868531
+0.00895509
+0.0095406
+0.0104703
+0.0114804
+0.0124559
+0.0135722
+0.0148402
+0.0161372
+0.0175971
+0.0191938
+0.0208886
+0.0226644
+0.0244975
+0.0263851
+0.0283165
+0.0280381
+0.0263625
+0.0242324
+0.0221142
+0.0200117
+0.0179302
+0.0158782
+0.0138686
+0.0119215
+0.0100362
+0.00829164
+0.00681001
+0.00556308
+0.00490491
+0.00506112
+0.0057192
+0.00658067
+0.00778673
+0.00901092
+0.0104533
+0.0119644
+0.0135507
+0.0151715
+0.0165478
+0.017914
+0.0193573
+0.0209023
+0.022482
+0.0240927
+0.0257822
+0.0275425
+0.0293073
+0.0310758
+0.0328812
+0.0346114
+0.0363912
+0.038207
+0.039973
+0.0417708
+0.043602
+0.0577964
+0.0561229
+0.0544861
+0.0528894
+0.0513077
+0.0497584
+0.0481638
+0.0466176
+0.0451041
+0.0435311
+0.0419142
+0.0403463
+0.0387997
+0.0372834
+0.0358254
+0.0343385
+0.0328872
+0.0314963
+0.0301024
+0.0286521
+0.0272999
+0.0259502
+0.0246379
+0.0232003
+0.0218805
+0.0207009
+0.0194703
+0.0183574
+0.0171562
+0.0160712
+0.0149686
+0.0138468
+0.0128785
+0.0119204
+0.0110292
+0.0104008
+0.00965971
+0.00897059
+0.00830225
+0.00772032
+0.00722682
+0.00697587
+0.00701687
+0.00706066
+0.00708338
+0.00746481
+0.00820473
+0.00926593
+0.0106211
+0.011853
+0.013062
+0.0143752
+0.0157411
+0.0172193
+0.0188369
+0.0205609
+0.0223627
+0.0242186
+0.0261264
+0.0280756
+0.0273838
+0.0259592
+0.0238728
+0.0217195
+0.0195746
+0.0174411
+0.0153237
+0.0132302
+0.011174
+0.0091802
+0.00729663
+0.00556176
+0.00418651
+0.00344304
+0.00349531
+0.00402109
+0.00502716
+0.00607046
+0.00743203
+0.00889375
+0.0104604
+0.0120966
+0.0134968
+0.0148427
+0.0162848
+0.0178335
+0.0194156
+0.0210258
+0.0227322
+0.0245156
+0.0262618
+0.0280512
+0.0298294
+0.0315748
+0.0333728
+0.0351765
+0.0369548
+0.0387658
+0.0406144
+0.0424685
+0.0564221
+0.0547135
+0.0530332
+0.0513914
+0.0497918
+0.0482098
+0.0466604
+0.0450663
+0.0435203
+0.0420078
+0.0404332
+0.0388185
+0.0372492
+0.0357026
+0.0341893
+0.032729
+0.0312483
+0.0298007
+0.0284275
+0.0270129
+0.0255751
+0.0242275
+0.0228969
+0.021568
+0.0201416
+0.0188623
+0.0177146
+0.0164923
+0.0153788
+0.0142459
+0.0131777
+0.012123
+0.011083
+0.010171
+0.00927794
+0.00862854
+0.00791843
+0.00732302
+0.00668044
+0.00617584
+0.00567593
+0.00543297
+0.00548155
+0.00541561
+0.00554104
+0.00606103
+0.00697455
+0.00821529
+0.00976738
+0.0114607
+0.0129083
+0.0142358
+0.0156139
+0.0171032
+0.0187308
+0.0204637
+0.0222733
+0.0241361
+0.02605
+0.0280045
+0.0268655
+0.0254168
+0.0237109
+0.0215415
+0.0193769
+0.0172188
+0.0150703
+0.0129358
+0.0108238
+0.00875063
+0.00675206
+0.00491523
+0.00336275
+0.00240553
+0.00228533
+0.00268336
+0.00336719
+0.00449664
+0.00584217
+0.00737654
+0.00903745
+0.010467
+0.0117855
+0.0132243
+0.0147769
+0.0163534
+0.0179696
+0.0196971
+0.021486
+0.0232302
+0.0250445
+0.0267883
+0.0285515
+0.0303704
+0.0321589
+0.0339476
+0.0357768
+0.0376335
+0.0395007
+0.0413997
+0.0550304
+0.053335
+0.0516323
+0.0499445
+0.048297
+0.0466943
+0.0451119
+0.0435625
+0.0419688
+0.040423
+0.0389119
+0.0373354
+0.0357233
+0.0341523
+0.0326057
+0.0310961
+0.0296329
+0.0281598
+0.0267168
+0.0253659
+0.0239257
+0.0225039
+0.0211626
+0.0198574
+0.0184989
+0.0170971
+0.0158703
+0.0147074
+0.0135641
+0.0124361
+0.0113957
+0.0103952
+0.00943096
+0.00849466
+0.0076663
+0.00693149
+0.00638646
+0.00583288
+0.00527968
+0.00492926
+0.00454261
+0.00421499
+0.00417192
+0.00387751
+0.00394473
+0.00450968
+0.00551286
+0.00694709
+0.0086244
+0.0104522
+0.0123549
+0.0143401
+0.0157926
+0.0172664
+0.0188799
+0.0206003
+0.022399
+0.0242521
+0.0261575
+0.0280789
+0.0265186
+0.0250498
+0.0236816
+0.0215854
+0.0194257
+0.0172738
+0.015133
+0.0130089
+0.010911
+0.00885829
+0.00689101
+0.00510274
+0.00359016
+0.0025327
+0.00187903
+0.00145356
+0.00182059
+0.00284382
+0.00431261
+0.00601835
+0.00747354
+0.00871934
+0.0101571
+0.0117385
+0.0133061
+0.0149306
+0.0166851
+0.01845
+0.0202187
+0.0220214
+0.0237619
+0.0255461
+0.0273844
+0.0291562
+0.0309584
+0.032808
+0.0346671
+0.0365546
+0.0384742
+0.0404104
+0.053644
+0.0519514
+0.0502492
+0.0485534
+0.046857
+0.0452032
+0.0435968
+0.042014
+0.0404645
+0.0388714
+0.037326
+0.0358163
+0.0342376
+0.0326287
+0.0310556
+0.0295091
+0.0280039
+0.0265372
+0.0250737
+0.0236366
+0.0223143
+0.0208418
+0.0194413
+0.0181089
+0.0168164
+0.0154414
+0.0140761
+0.0129258
+0.0117418
+0.0106511
+0.00957509
+0.00865005
+0.007757
+0.00691678
+0.00615024
+0.00553279
+0.005111
+0.00450228
+0.00412438
+0.00376857
+0.00330894
+0.0030388
+0.0029894
+0.00245036
+0.00266969
+0.00316487
+0.00426906
+0.00586198
+0.00768106
+0.00965399
+0.0116946
+0.0137753
+0.0158856
+0.0177014
+0.0192785
+0.0209662
+0.0227359
+0.0245637
+0.0264466
+0.0279085
+0.0263498
+0.024871
+0.0234924
+0.0218501
+0.0197193
+0.0176034
+0.0155081
+0.0134434
+0.0114256
+0.00947374
+0.00761819
+0.00597756
+0.00461718
+0.00346807
+0.00181184
+0.000485055
+0.000203586
+0.00131096
+0.00303052
+0.00455942
+0.00566575
+0.00710142
+0.00868914
+0.010289
+0.0119222
+0.0136892
+0.0154387
+0.017238
+0.019021
+0.0207567
+0.0225659
+0.024382
+0.0261698
+0.027993
+0.0298547
+0.031726
+0.0336358
+0.0355664
+0.0375008
+0.0394283
+0.0521365
+0.0505462
+0.0488712
+0.0471651
+0.045477
+0.0437711
+0.0421101
+0.0404994
+0.0389162
+0.0373666
+0.0357742
+0.034229
+0.0327212
+0.0311399
+0.0295347
+0.0279592
+0.0264128
+0.0249131
+0.0234423
+0.0219897
+0.0205618
+0.0192698
+0.0177627
+0.016392
+0.0150549
+0.0138002
+0.012404
+0.0110976
+0.0100425
+0.00886706
+0.00785313
+0.0068521
+0.00606444
+0.00534671
+0.00480388
+0.00412548
+0.00352206
+0.00304854
+0.0026975
+0.00205049
+0.00190071
+0.00208887
+0.00190119
+0.0013211
+0.00160114
+0.00203928
+0.00334303
+0.00513244
+0.00711876
+0.00919553
+0.0113153
+0.013414
+0.0155036
+0.0175738
+0.0196701
+0.0215335
+0.0232751
+0.0250635
+0.0269115
+0.0271731
+0.0258729
+0.0246793
+0.0235068
+0.0222596
+0.0202471
+0.0181926
+0.0161737
+0.014185
+0.0122598
+0.0104397
+0.00875536
+0.00728129
+0.00602383
+0.00394309
+0.0018771
+-0.000171296
+-0.00121035
+0.000122443
+0.00170042
+0.00268322
+0.00409712
+0.00565277
+0.00729269
+0.0089749
+0.0106815
+0.0124602
+0.014243
+0.0160332
+0.0177833
+0.0196221
+0.0214068
+0.0232128
+0.0250596
+0.0269226
+0.0288177
+0.0307397
+0.0326661
+0.0346059
+0.0365306
+0.038429
+0.0506789
+0.0490413
+0.0474484
+0.0457935
+0.0440829
+0.0424026
+0.040687
+0.0390177
+0.0374022
+0.0358184
+0.0342687
+0.0326771
+0.031131
+0.0296267
+0.0280423
+0.0264418
+0.0248633
+0.023317
+0.0218245
+0.0203482
+0.0189009
+0.0174952
+0.0161893
+0.0146917
+0.0133651
+0.0120133
+0.0107807
+0.00940623
+0.00819701
+0.00718509
+0.00608358
+0.00516803
+0.00441376
+0.00379217
+0.00311499
+0.00241901
+0.00196055
+0.00163407
+0.0011137
+0.000500908
+0.000825212
+0.000923355
+0.000670317
+0.000402521
+0.000699122
+0.00108909
+0.00261836
+0.00450427
+0.00655372
+0.00865372
+0.0107041
+0.0127781
+0.0148851
+0.0170051
+0.0191383
+0.0212188
+0.0233194
+0.0254353
+0.027516
+0.0264998
+0.0251648
+0.023936
+0.0228413
+0.0219116
+0.0209851
+0.0189913
+0.0170459
+0.0151675
+0.013379
+0.0116915
+0.0101721
+0.00841264
+0.00628124
+0.00418107
+0.00210484
+2.28403e-05
+-0.00202401
+-0.00127527
+-0.000135076
+0.00118627
+0.00270961
+0.00437134
+0.00605204
+0.00773913
+0.00953299
+0.0112989
+0.0130868
+0.014861
+0.0167095
+0.0184712
+0.0202971
+0.022157
+0.0240291
+0.02594
+0.0278537
+0.0298055
+0.0317216
+0.0336162
+0.0354721
+0.0373568
+0.0492578
+0.0475898
+0.0459465
+0.0443507
+0.0427101
+0.0410032
+0.0393132
+0.0376052
+0.0359263
+0.0343051
+0.0327207
+0.0311709
+0.0295802
+0.0280331
+0.0265331
+0.0249449
+0.0233502
+0.021768
+0.0202219
+0.0187389
+0.0172556
+0.0158157
+0.0144421
+0.013117
+0.0116351
+0.0103265
+0.00901031
+0.00779573
+0.00647984
+0.00540561
+0.00447988
+0.00356143
+0.00296907
+0.00219241
+0.00137583
+0.000888616
+0.000579715
+0.000296204
+-0.000435465
+-0.000410623
+-0.00039755
+-0.000314558
+-0.000630757
+-0.000424891
+-0.000356577
+-9.73959e-06
+0.0017074
+0.00376635
+0.00585494
+0.00798651
+0.0101419
+0.0122128
+0.014294
+0.0164038
+0.0185323
+0.0206738
+0.0228177
+0.0249569
+0.0270988
+0.0259942
+0.0246319
+0.023375
+0.0222527
+0.0212973
+0.0205321
+0.0199776
+0.0179931
+0.0159603
+0.0139752
+0.0119601
+0.00997343
+0.00796543
+0.00592695
+0.00388812
+0.00184541
+-8.9103e-05
+-0.00178435
+-0.00246197
+-0.00119853
+0.000251035
+0.00178841
+0.00326298
+0.00492252
+0.00667829
+0.00845134
+0.0102299
+0.0120213
+0.0138191
+0.0155856
+0.0174236
+0.0192763
+0.0211741
+0.0230776
+0.0250184
+0.0269447
+0.0288175
+0.0306648
+0.0325358
+0.0344352
+0.0363403
+0.047839
+0.046167
+0.0445018
+0.0428522
+0.041253
+0.0396215
+0.0379245
+0.0362254
+0.0345263
+0.0328361
+0.0312082
+0.0296231
+0.0280731
+0.0264836
+0.0249352
+0.0234406
+0.0218476
+0.0202605
+0.0186736
+0.0171278
+0.0156584
+0.0141655
+0.0127369
+0.0114072
+0.0100607
+0.00860809
+0.00728708
+0.00606375
+0.00493536
+0.00376144
+0.00289589
+0.00214378
+0.00140756
+0.000503344
+-0.000133878
+-0.000529464
+-0.000450958
+-0.00127816
+-0.00165165
+-0.000608381
+0.00024665
+-0.00104929
+-0.00177808
+-0.00101572
+-0.00139778
+-0.00102433
+0.00109981
+0.00320582
+0.00529274
+0.00737458
+0.00950547
+0.0116586
+0.0138094
+0.015946
+0.0180924
+0.0202482
+0.0224108
+0.0245783
+0.0267496
+0.0256662
+0.0242855
+0.0230097
+0.0218687
+0.0208958
+0.0201153
+0.0195503
+0.0175454
+0.0155624
+0.0136303
+0.0116478
+0.00969394
+0.00766913
+0.00574951
+0.0037807
+0.00191849
+0.0006208
+-0.000633307
+-0.00202711
+-0.00204283
+-0.000400855
+0.00123839
+0.00255229
+0.00409713
+0.00579779
+0.00751844
+0.00930523
+0.0110336
+0.0127851
+0.0146197
+0.0164713
+0.018358
+0.0202845
+0.0221701
+0.0240402
+0.0258917
+0.0277419
+0.0296248
+0.0315222
+0.0334346
+0.0353782
+0.046439
+0.0447541
+0.0430772
+0.0414155
+0.0397585
+0.0381554
+0.0365345
+0.034844
+0.0331395
+0.0314512
+0.0297476
+0.0281116
+0.0265256
+0.0249754
+0.0233874
+0.0218373
+0.0203499
+0.0187506
+0.017174
+0.0155806
+0.0140356
+0.0125864
+0.0110797
+0.00966975
+0.00837823
+0.00703703
+0.00565208
+0.0043227
+0.00328662
+0.0023347
+0.00158733
+0.000612133
+-0.000324564
+-0.00105896
+-0.000480206
+0.000319074
+-0.000167002
+-0.00168032
+-0.000407236
+0.00101828
+0.000963007
+-0.000730603
+-0.000592274
+0.000588781
+-0.00153636
+-0.0014705
+0.000558213
+0.00271427
+0.00487476
+0.00698781
+0.00913747
+0.0113029
+0.0134765
+0.0156549
+0.0178362
+0.0200197
+0.0221827
+0.0243413
+0.0265052
+0.0255214
+0.0241268
+0.022832
+0.0216817
+0.0206999
+0.0199118
+0.0193066
+0.0172812
+0.0152639
+0.0133016
+0.0114226
+0.009474
+0.00762447
+0.0059222
+0.00419615
+0.00289405
+0.00192143
+0.000667406
+-0.000488299
+-0.0019676
+-0.00142183
+0.000214458
+0.00162163
+0.00323272
+0.00495661
+0.00671795
+0.0083681
+0.0101137
+0.0119272
+0.0137328
+0.0156291
+0.0174502
+0.0193016
+0.0211371
+0.0229911
+0.0248488
+0.0267332
+0.0286303
+0.0305641
+0.0325022
+0.0344488
+0.0450225
+0.0433495
+0.0416711
+0.0399887
+0.038331
+0.0366655
+0.0350578
+0.0334495
+0.0317669
+0.0300561
+0.0283811
+0.0266614
+0.0250153
+0.0234282
+0.0218779
+0.0202918
+0.0187395
+0.0172618
+0.0156539
+0.0140925
+0.0124903
+0.0109466
+0.00951044
+0.00800352
+0.00661572
+0.00534627
+0.00405662
+0.00281197
+0.00164677
+0.000977347
+-6.0856e-05
+-0.00104975
+-0.000469693
+0.000457576
+0.00128396
+0.000716154
+-0.000479677
+-0.000178066
+0.00128537
+0.00268386
+0.00119723
+-3.64606e-05
+0.000692159
+0.000978268
+-0.00109994
+-0.00108987
+0.00076256
+0.00275608
+0.00483629
+0.0069051
+0.00900759
+0.0111438
+0.0132978
+0.0154621
+0.0176127
+0.01976
+0.0219159
+0.024078
+0.0262449
+0.0252196
+0.0239385
+0.0227964
+0.0216908
+0.0207095
+0.0199217
+0.0191709
+0.0171857
+0.0151926
+0.0132619
+0.0113788
+0.00948547
+0.00771945
+0.00616541
+0.00484724
+0.00380751
+0.00306739
+0.00200051
+0.00108436
+-0.000516382
+-0.00143083
+-0.000750141
+0.000736536
+0.00223289
+0.00385071
+0.00555398
+0.0073643
+0.00911084
+0.0109014
+0.0127431
+0.0146095
+0.0164441
+0.0182975
+0.0201317
+0.0219926
+0.0238637
+0.0257743
+0.0277246
+0.0296709
+0.0316401
+0.0335823
+0.0436568
+0.0419431
+0.0402614
+0.0385905
+0.0369018
+0.0352482
+0.0335734
+0.0319604
+0.0303672
+0.0286943
+0.026976
+0.0252976
+0.0235782
+0.0219196
+0.020331
+0.0187805
+0.0171971
+0.0156418
+0.0141781
+0.0125581
+0.0110203
+0.00940502
+0.00786492
+0.00642065
+0.0049544
+0.00360916
+0.00238285
+0.00122466
+0.000352813
+-0.000642107
+-0.00111059
+0.000114621
+0.00127512
+0.00225063
+0.00184009
+0.000724849
+0.000811876
+0.0015044
+0.00282231
+0.00307086
+0.00169829
+0.00121944
+0.00216242
+0.00165594
+-0.000117609
+-0.000271664
+0.00111195
+0.00288765
+0.00480842
+0.00685832
+0.00890743
+0.011009
+0.0131398
+0.0152875
+0.0174459
+0.0195593
+0.0216819
+0.0238167
+0.0259568
+0.0250042
+0.0237114
+0.0225455
+0.0215096
+0.0206549
+0.0200046
+0.0189822
+0.0170737
+0.0152239
+0.0133262
+0.0115035
+0.00981016
+0.00815845
+0.0067417
+0.00577028
+0.00501365
+0.00441481
+0.00350476
+0.00247712
+0.000644018
+-0.000901088
+-0.000715504
+-0.0001485
+0.00121897
+0.00280718
+0.00449514
+0.00623132
+0.00797545
+0.00980016
+0.0116516
+0.0134951
+0.0153641
+0.0172357
+0.0191262
+0.0210156
+0.0229316
+0.0248537
+0.0268035
+0.0287347
+0.0306851
+0.032588
+0.0423268
+0.0405821
+0.0388667
+0.037175
+0.035513
+0.033817
+0.0321598
+0.0304826
+0.0288631
+0.0272812
+0.0256037
+0.0238982
+0.0222059
+0.0204996
+0.0188246
+0.0172342
+0.0156834
+0.0141039
+0.0125444
+0.0111024
+0.00946368
+0.00796826
+0.00633232
+0.00480275
+0.00334539
+0.00196294
+0.000811065
+-6.08719e-05
+-0.00113538
+-0.000666271
+0.000638216
+0.00179414
+0.00296647
+0.00318341
+0.00218342
+0.00159643
+0.00215508
+0.00333506
+0.00444901
+0.00357321
+0.00273041
+0.00274958
+0.00357263
+0.00251343
+0.00102301
+0.000854948
+0.0015993
+0.00314806
+0.00496824
+0.00688632
+0.00892195
+0.0109607
+0.0130109
+0.0151006
+0.0172154
+0.0193324
+0.0214333
+0.0235396
+0.0256348
+0.0249577
+0.0236629
+0.0224859
+0.0214471
+0.0205898
+0.0199374
+0.0189435
+0.0170424
+0.0152162
+0.0134989
+0.0117728
+0.0101495
+0.0087012
+0.00745536
+0.00658253
+0.00620372
+0.00549414
+0.0045003
+0.00371398
+0.00194466
+0.000279049
+-0.000625678
+-0.000430117
+0.000255685
+0.00173917
+0.00343361
+0.00516105
+0.00697862
+0.00875016
+0.0105939
+0.0124525
+0.0143159
+0.0161929
+0.0180894
+0.0200019
+0.0219471
+0.0238704
+0.025825
+0.0277249
+0.0296559
+0.03159
+0.0410289
+0.0392592
+0.0375113
+0.0357941
+0.0340906
+0.0324394
+0.0307325
+0.029067
+0.0273934
+0.025766
+0.0241853
+0.0225131
+0.0208169
+0.0191163
+0.0174278
+0.0157309
+0.014138
+0.0125867
+0.0110135
+0.00944729
+0.00802724
+0.00637288
+0.00494101
+0.00328361
+0.00176785
+0.000379211
+-0.000529745
+-0.00156835
+-0.000357645
+0.00101602
+0.00231664
+0.00350773
+0.00450386
+0.00348217
+0.00294806
+0.00294974
+0.00374134
+0.00483827
+0.0054192
+0.00428049
+0.00379006
+0.00403912
+0.00496207
+0.00339287
+0.00211305
+0.00173335
+0.00225128
+0.00361329
+0.00524798
+0.00699408
+0.00888881
+0.0108752
+0.0129016
+0.0149433
+0.0170011
+0.0190612
+0.0211463
+0.023248
+0.0253116
+0.0250958
+0.0238085
+0.022639
+0.0216076
+0.0207569
+0.02011
+0.0187956
+0.0170646
+0.0153083
+0.0136323
+0.0120964
+0.0106984
+0.00945549
+0.00834622
+0.00763752
+0.00736674
+0.00648639
+0.00564169
+0.00498099
+0.00319147
+0.00149244
+0.000101108
+0.00024306
+-0.000581332
+0.000747412
+0.00239416
+0.00408952
+0.00589107
+0.00770553
+0.00956186
+0.0114306
+0.0132881
+0.01518
+0.0171121
+0.019023
+0.0209616
+0.0228769
+0.0247984
+0.0267217
+0.028651
+0.0306154
+0.039767
+0.0379828
+0.0361966
+0.0344454
+0.0327191
+0.0310091
+0.0293549
+0.0276482
+0.0259755
+0.0243065
+0.0226692
+0.0210901
+0.0194249
+0.0177414
+0.0160299
+0.0143674
+0.0126393
+0.0110428
+0.00949104
+0.00792903
+0.00635043
+0.00493416
+0.00329582
+0.00189871
+0.000334188
+-0.000864721
+-0.00179765
+-0.000256036
+0.00124268
+0.00269534
+0.00396979
+0.005195
+0.00481216
+0.00420481
+0.00404744
+0.00458451
+0.00529025
+0.00649368
+0.00608619
+0.00524324
+0.00501544
+0.00537722
+0.00590886
+0.00430446
+0.00311444
+0.00279617
+0.003029
+0.00408389
+0.00551516
+0.00717123
+0.00896967
+0.0108926
+0.012827
+0.0148328
+0.016818
+0.0188062
+0.0208204
+0.0228206
+0.0247063
+0.0254226
+0.0241527
+0.0230008
+0.0219863
+0.0211509
+0.0204484
+0.0187194
+0.0170278
+0.0154124
+0.013863
+0.0123612
+0.0110891
+0.0100335
+0.00918986
+0.00870092
+0.00862898
+0.0076746
+0.00689678
+0.00620214
+0.00434084
+0.00249656
+0.00101683
+0.00057474
+0.000245659
+-0.00028494
+0.00142393
+0.00305513
+0.00484201
+0.0066868
+0.00853674
+0.0103964
+0.0122946
+0.0141697
+0.016091
+0.0180167
+0.0199246
+0.021867
+0.0237865
+0.0257492
+0.0277462
+0.0297691
+0.0385343
+0.036726
+0.0349334
+0.0331408
+0.0313849
+0.0296432
+0.0279311
+0.0262659
+0.0245674
+0.0228858
+0.0212228
+0.0195728
+0.0179956
+0.0163404
+0.0146753
+0.0129492
+0.0113033
+0.00955198
+0.00794952
+0.00639769
+0.00485895
+0.00325413
+0.0018502
+0.000274286
+-0.00100353
+-0.00190351
+-0.000426037
+0.0012176
+0.00278224
+0.00429614
+0.00561065
+0.0059587
+0.00541347
+0.00533003
+0.00539907
+0.00606595
+0.00699916
+0.00765424
+0.00685372
+0.00642014
+0.00628404
+0.00674609
+0.00666846
+0.00514212
+0.00406008
+0.00366686
+0.00392888
+0.00471049
+0.00593673
+0.00748424
+0.00914828
+0.0108965
+0.0126937
+0.0145936
+0.016518
+0.0184031
+0.0201964
+0.0220032
+0.0238679
+0.025784
+0.0246813
+0.0235615
+0.0225609
+0.0210919
+0.0196471
+0.0183234
+0.0170325
+0.0155217
+0.0141361
+0.0128363
+0.011671
+0.0107617
+0.0100956
+0.00974506
+0.00975701
+0.00880468
+0.00802495
+0.00720063
+0.00529583
+0.0035628
+0.00205309
+0.00105134
+0.001144
+-0.000362624
+0.000441684
+0.00217747
+0.00386367
+0.00563608
+0.00748748
+0.00933364
+0.0112446
+0.0131572
+0.0150533
+0.0170041
+0.0189395
+0.0208982
+0.022899
+0.0249175
+0.026874
+0.0288642
+0.0373659
+0.0355063
+0.0336865
+0.0318829
+0.0300935
+0.0283182
+0.0265725
+0.0248582
+0.0231777
+0.0214915
+0.0197987
+0.0181404
+0.016477
+0.0149012
+0.0132622
+0.011609
+0.0098744
+0.00820664
+0.00647492
+0.0048578
+0.00330954
+0.00179471
+0.000171607
+-0.00109084
+-0.00207443
+-0.000488978
+0.00111474
+0.00259857
+0.00425876
+0.00583374
+0.00717953
+0.00656693
+0.0061588
+0.00635977
+0.00689189
+0.00755073
+0.00860098
+0.00823628
+0.00757088
+0.00736991
+0.00764617
+0.00812715
+0.0075438
+0.00609674
+0.00504008
+0.00459712
+0.00475241
+0.00535864
+0.00624633
+0.00758608
+0.00914955
+0.0108074
+0.0124603
+0.0142445
+0.0159087
+0.0176276
+0.0194184
+0.0212841
+0.0232067
+0.0251529
+0.0241784
+0.0227866
+0.0213882
+0.0200208
+0.0187668
+0.0175714
+0.0163334
+0.0152925
+0.0143056
+0.0131948
+0.0122842
+0.0114742
+0.0109097
+0.0106765
+0.0107961
+0.00998304
+0.00927419
+0.00822495
+0.00644289
+0.00476729
+0.00300538
+0.00177432
+0.00149402
+0.000729801
+-0.000589045
+0.00110254
+0.00283357
+0.00458597
+0.00646638
+0.00833171
+0.0102081
+0.0121449
+0.0140832
+0.016055
+0.0180669
+0.0200642
+0.0220173
+0.0240103
+0.0260289
+0.0280446
+0.0362667
+0.0343743
+0.0324915
+0.0306493
+0.0288426
+0.0270578
+0.0252591
+0.023509
+0.0217924
+0.0200925
+0.0184223
+0.0167157
+0.0150606
+0.0133823
+0.0118072
+0.0101815
+0.00851129
+0.0067902
+0.00511013
+0.00342959
+0.00176674
+0.000223894
+-0.00127508
+-0.00227532
+-0.000723895
+0.000884282
+0.00253905
+0.00413686
+0.00566007
+0.00733335
+0.00781541
+0.00734769
+0.00728685
+0.00747322
+0.00813175
+0.00905614
+0.00973052
+0.00896481
+0.0084688
+0.00841313
+0.00869957
+0.00940373
+0.00841792
+0.00712599
+0.006179
+0.00560281
+0.00557338
+0.00587135
+0.00672109
+0.00779751
+0.00905
+0.0104275
+0.0119641
+0.0135828
+0.0152466
+0.017006
+0.0188112
+0.0205672
+0.0222885
+0.0239162
+0.0225201
+0.0212584
+0.0201564
+0.0188454
+0.0176142
+0.0164677
+0.0155146
+0.0146352
+0.0136523
+0.0129265
+0.0124816
+0.01193
+0.0117199
+0.0115995
+0.0117959
+0.0109646
+0.0102089
+0.0094219
+0.00749921
+0.00569722
+0.00401189
+0.0027701
+0.00217961
+0.00175483
+0.00010988
+8.99725e-05
+0.0019185
+0.00360998
+0.00545882
+0.00733807
+0.00924722
+0.0112091
+0.0131886
+0.015194
+0.0171842
+0.019179
+0.0211713
+0.0231944
+0.0252243
+0.0272416
+0.0350914
+0.0332467
+0.0313928
+0.0294939
+0.0276255
+0.0258079
+0.0240084
+0.0222109
+0.0204553
+0.0187211
+0.017012
+0.0153479
+0.0136343
+0.011981
+0.0102896
+0.00871388
+0.00709096
+0.005414
+0.0037238
+0.00201361
+0.000444772
+-0.00132537
+-0.00244537
+-0.000861596
+0.000755366
+0.00235624
+0.00394381
+0.00560547
+0.00718391
+0.00873542
+0.00872729
+0.0083502
+0.00839475
+0.00886823
+0.00950294
+0.0104955
+0.0101191
+0.00960443
+0.00920722
+0.00925778
+0.00974465
+0.0106174
+0.00898631
+0.00756156
+0.0065544
+0.00594623
+0.00560609
+0.00590951
+0.00678425
+0.0076084
+0.00858247
+0.0099304
+0.0113408
+0.0129378
+0.0146748
+0.0161648
+0.0177741
+0.0194959
+0.0211614
+0.022433
+0.0209598
+0.0195979
+0.0183968
+0.0173885
+0.0164176
+0.0153618
+0.0143474
+0.0134986
+0.0129682
+0.0125308
+0.0120963
+0.0120032
+0.0119221
+0.0120989
+0.0126251
+0.0121076
+0.0113705
+0.0104035
+0.00851753
+0.00676607
+0.00520894
+0.00379269
+0.0028657
+0.00268008
+0.00107674
+-0.000775625
+0.000951251
+0.00271825
+0.00452306
+0.00642578
+0.00833424
+0.0103403
+0.0123902
+0.0143505
+0.0163382
+0.0183611
+0.0203744
+0.022405
+0.0244508
+0.0265164
+0.0338992
+0.0320632
+0.0302336
+0.0283996
+0.0265114
+0.0246203
+0.0227736
+0.0209706
+0.0191787
+0.017393
+0.0156543
+0.0139392
+0.0122767
+0.0105551
+0.00889682
+0.00720169
+0.00562417
+0.0040011
+0.00231889
+0.000657846
+-0.00107704
+-0.00230091
+-0.00115524
+0.00055215
+0.00223308
+0.00384521
+0.00545311
+0.00702449
+0.0086826
+0.0102591
+0.0100164
+0.00967289
+0.0097028
+0.0101446
+0.0109797
+0.0117357
+0.0108379
+0.0103259
+0.0101365
+0.0102124
+0.0107127
+0.0107158
+0.0093113
+0.00802908
+0.00699419
+0.00636428
+0.00615748
+0.00617774
+0.00647194
+0.00711702
+0.00813194
+0.0094979
+0.0107631
+0.0120652
+0.0134793
+0.0150801
+0.016775
+0.0181918
+0.0194199
+0.0208003
+0.019498
+0.0180509
+0.0167391
+0.0156256
+0.0147468
+0.0140366
+0.0132333
+0.0124568
+0.01188
+0.0116322
+0.0117732
+0.0119952
+0.0122226
+0.0126468
+0.0130413
+0.0130204
+0.0121745
+0.011396
+0.00963575
+0.00791156
+0.0061945
+0.00475267
+0.00373274
+0.00323664
+0.00205506
+0.000205945
+-1.50631e-05
+0.00182074
+0.00360072
+0.00556031
+0.00758127
+0.00955219
+0.0115544
+0.0135553
+0.0155509
+0.0175878
+0.0196424
+0.0217235
+0.0237892
+0.0258354
+0.0327153
+0.0308934
+0.0290496
+0.0272384
+0.0253877
+0.0235353
+0.0216376
+0.0197591
+0.0179469
+0.0161574
+0.014346
+0.0126023
+0.0108763
+0.00920944
+0.00749157
+0.00582097
+0.00412352
+0.00253847
+0.000915081
+-0.000766695
+-0.00201077
+-0.00115671
+0.000398586
+0.00191416
+0.0036305
+0.00532501
+0.00694233
+0.00855044
+0.0101146
+0.0111958
+0.0111436
+0.0112573
+0.0112878
+0.0116692
+0.0124134
+0.012705
+0.0118736
+0.0113634
+0.0112048
+0.0114097
+0.0118684
+0.0112165
+0.00988341
+0.0088085
+0.00797566
+0.00728343
+0.0067124
+0.00647333
+0.00661509
+0.0070175
+0.00763384
+0.00867285
+0.00965988
+0.0109977
+0.0125283
+0.0140244
+0.0152457
+0.0164358
+0.017778
+0.0192764
+0.0181628
+0.0166223
+0.0152169
+0.0139826
+0.0130017
+0.0122776
+0.0118461
+0.0113551
+0.0109688
+0.0108364
+0.0109829
+0.0113935
+0.0121713
+0.0131202
+0.0137963
+0.0137162
+0.0129519
+0.0124463
+0.0106829
+0.00887279
+0.007239
+0.00585235
+0.00453779
+0.00377179
+0.00293286
+0.00114841
+-0.00088479
+0.00101459
+0.00279783
+0.00475719
+0.00679092
+0.00877568
+0.0107952
+0.0128261
+0.0148572
+0.0169044
+0.018968
+0.0210528
+0.0231077
+0.0251576
+0.0316059
+0.0297299
+0.0278878
+0.0260559
+0.0242197
+0.0223879
+0.0205567
+0.0186692
+0.0167746
+0.0149222
+0.0131308
+0.0113268
+0.00958002
+0.00783364
+0.00615395
+0.00444278
+0.00276663
+0.00107449
+-0.000540849
+-0.00148049
+-0.00115466
+0.000299027
+0.0018844
+0.00345554
+0.00499671
+0.00671951
+0.00840878
+0.0100401
+0.0116478
+0.012142
+0.012228
+0.0125385
+0.0129911
+0.013346
+0.0140013
+0.0137626
+0.0130182
+0.0125951
+0.012472
+0.0127245
+0.0132277
+0.0120991
+0.0108748
+0.00983827
+0.00873619
+0.00787168
+0.00719102
+0.00670503
+0.00641467
+0.00647897
+0.00680519
+0.00752356
+0.00869357
+0.0100498
+0.0113553
+0.012374
+0.0134796
+0.0147871
+0.0162659
+0.0176896
+0.0169925
+0.0153497
+0.0138429
+0.0125087
+0.011403
+0.0105767
+0.0101373
+0.00986616
+0.00968075
+0.00989549
+0.0102612
+0.010901
+0.0116963
+0.0127726
+0.0140509
+0.0144239
+0.0136466
+0.013017
+0.0116828
+0.0099419
+0.0081426
+0.00653453
+0.00527479
+0.00443954
+0.00336613
+0.00118392
+-0.000819808
+0.000158742
+0.00200405
+0.0039497
+0.0060068
+0.00803702
+0.0100782
+0.0121164
+0.0141932
+0.0161982
+0.018244
+0.020308
+0.022347
+0.0244072
+0.0304914
+0.0286375
+0.026763
+0.0249048
+0.0230868
+0.021223
+0.019406
+0.0175639
+0.0157074
+0.0138171
+0.0119352
+0.0101447
+0.00835873
+0.00656055
+0.00482299
+0.00317095
+0.00148555
+-8.57437e-05
+-0.00105643
+-0.00112418
+0.00015558
+0.00180128
+0.00333997
+0.00496484
+0.00654614
+0.00808886
+0.00981311
+0.0114864
+0.013138
+0.0132158
+0.01334
+0.0137607
+0.0143905
+0.0151459
+0.0157264
+0.0149792
+0.0143084
+0.0139246
+0.0138228
+0.0140537
+0.0145526
+0.0131336
+0.0114771
+0.0100252
+0.00877818
+0.00794564
+0.00754341
+0.00670177
+0.00623527
+0.00582634
+0.00599477
+0.00675251
+0.0076201
+0.00868854
+0.00964357
+0.0105822
+0.0118515
+0.0132959
+0.0149232
+0.0155626
+0.0153268
+0.0143011
+0.0126704
+0.0112277
+0.00998335
+0.00905331
+0.00853586
+0.0081869
+0.00814529
+0.0083991
+0.00911757
+0.0102055
+0.0112129
+0.0123766
+0.0137589
+0.015221
+0.0143935
+0.0137983
+0.0125177
+0.0106971
+0.00899824
+0.00750477
+0.00615323
+0.00514313
+0.00324569
+0.00105794
+-0.00112982
+-0.000687619
+0.00121526
+0.00319435
+0.00526143
+0.00739282
+0.00931559
+0.0113335
+0.0134058
+0.0154453
+0.0174887
+0.0195595
+0.0216029
+0.0236622
+0.0293973
+0.0275481
+0.025673
+0.0238296
+0.0219449
+0.0201062
+0.0182603
+0.0164291
+0.0145993
+0.0127781
+0.0108691
+0.00900167
+0.00717042
+0.00538965
+0.0036151
+0.00199309
+0.000494101
+-0.000623207
+-0.000719878
+0.000156097
+0.00162149
+0.00315762
+0.00485506
+0.00642762
+0.00805828
+0.00964121
+0.0111842
+0.0128726
+0.0141824
+0.0143335
+0.0146159
+0.0150009
+0.0156667
+0.01655
+0.0167114
+0.0160274
+0.0156165
+0.0153898
+0.0153173
+0.0155283
+0.0150182
+0.0133721
+0.0117473
+0.0103236
+0.00913194
+0.00826708
+0.00765032
+0.00660875
+0.00567827
+0.00537433
+0.00531396
+0.00574132
+0.00639704
+0.00716533
+0.00783984
+0.00896929
+0.0103924
+0.0120209
+0.013781
+0.0134561
+0.0131827
+0.0132403
+0.0116292
+0.0102253
+0.00874143
+0.00754317
+0.00677792
+0.00648626
+0.00645467
+0.00698761
+0.00806988
+0.00915065
+0.0105736
+0.0121026
+0.0135139
+0.0150881
+0.0153946
+0.0148475
+0.0134379
+0.0116574
+0.00991602
+0.00835649
+0.00708014
+0.00536594
+0.00317915
+0.000992375
+-0.0011943
+-0.00149444
+0.000452396
+0.00248455
+0.00447573
+0.00651046
+0.0085404
+0.0105753
+0.0126423
+0.0146872
+0.0167375
+0.0188191
+0.0209063
+0.0229594
+0.028278
+0.0264423
+0.0246387
+0.0227349
+0.020877
+0.0190253
+0.0171672
+0.0153335
+0.0134808
+0.0116561
+0.00983633
+0.00801007
+0.00612719
+0.00428373
+0.00258554
+0.00107193
+-4.18542e-05
+-0.000319439
+0.000259182
+0.00150102
+0.00300209
+0.00467812
+0.00622873
+0.00792354
+0.00952036
+0.0111539
+0.0127375
+0.0142806
+0.0152769
+0.0154309
+0.0158448
+0.0163961
+0.0170245
+0.0178842
+0.0174471
+0.0168968
+0.0165594
+0.0164561
+0.0166431
+0.0169745
+0.0154659
+0.0138741
+0.0123337
+0.0109853
+0.0098781
+0.00890275
+0.00752235
+0.00648828
+0.0054251
+0.00489956
+0.00477627
+0.00445681
+0.00489337
+0.00548633
+0.00628383
+0.00758952
+0.00919897
+0.0109414
+0.0120255
+0.0113804
+0.0110569
+0.0111611
+0.0106022
+0.00902476
+0.00755298
+0.0061848
+0.00520967
+0.0049227
+0.00508957
+0.00571481
+0.00677764
+0.00808556
+0.00964987
+0.0111366
+0.0127326
+0.014481
+0.0163364
+0.0160836
+0.014327
+0.0125677
+0.0109478
+0.00953883
+0.00741022
+0.00522432
+0.00304333
+0.000894775
+-0.001267
+-0.00228616
+-0.000287796
+0.00168181
+0.00367956
+0.00573138
+0.00777852
+0.00981694
+0.0118992
+0.0139958
+0.0160359
+0.0181111
+0.0202072
+0.0223123
+0.0272526
+0.0253703
+0.0235176
+0.0217128
+0.0198454
+0.0179678
+0.0161511
+0.0142852
+0.0124365
+0.0106043
+0.00879007
+0.00702484
+0.00519416
+0.00342425
+0.00179121
+0.00062889
+9.8423e-05
+0.00036448
+0.0014237
+0.0028108
+0.0043851
+0.0059889
+0.00773124
+0.00931189
+0.0109749
+0.0126147
+0.0142465
+0.0158318
+0.0165287
+0.0167002
+0.0171129
+0.0177608
+0.0185224
+0.0191278
+0.018368
+0.0178461
+0.0175341
+0.0174898
+0.0177183
+0.0176852
+0.0160145
+0.0144831
+0.0130997
+0.0119265
+0.0107606
+0.00928602
+0.00792005
+0.00645565
+0.00536163
+0.00472556
+0.00345929
+0.00297035
+0.00316737
+0.00373792
+0.00472479
+0.00618632
+0.00798529
+0.00962509
+0.0101109
+0.00933843
+0.00896242
+0.00909062
+0.0094496
+0.00780122
+0.00622662
+0.00486663
+0.00390444
+0.00337036
+0.00335041
+0.0041738
+0.00553616
+0.00697779
+0.00857756
+0.0103696
+0.0121174
+0.0139432
+0.0158616
+0.0171192
+0.0153761
+0.0137448
+0.0118191
+0.00963137
+0.0074453
+0.0052631
+0.00308835
+0.000921335
+-0.0012276
+-0.00310455
+-0.00106359
+0.00094653
+0.00292884
+0.00500081
+0.00711861
+0.00911846
+0.01119
+0.0132874
+0.0154034
+0.017469
+0.0195526
+0.0216499
+0.0261964
+0.024362
+0.0224921
+0.0206357
+0.0188254
+0.0170033
+0.0151196
+0.0132937
+0.0114917
+0.0096494
+0.00783202
+0.00609981
+0.00438416
+0.00273572
+0.00142954
+0.000686927
+0.000605642
+0.00142732
+0.002686
+0.00411606
+0.0056954
+0.00734675
+0.00903522
+0.0107408
+0.0124025
+0.014044
+0.0157104
+0.017332
+0.0177066
+0.0181112
+0.0185153
+0.0191173
+0.0199414
+0.0199534
+0.0193615
+0.0188991
+0.0186517
+0.0186277
+0.0187945
+0.0184292
+0.0168324
+0.0153644
+0.0140525
+0.0127405
+0.0110751
+0.00958067
+0.00790579
+0.00632259
+0.00512169
+0.00403826
+0.0027788
+0.0017278
+0.00144808
+0.00194892
+0.0033299
+0.00498777
+0.00658981
+0.00817032
+0.00833225
+0.00737526
+0.00691525
+0.00703256
+0.00767302
+0.00671047
+0.00514854
+0.00365964
+0.00253329
+0.00185163
+0.00187933
+0.00285614
+0.00432705
+0.00611814
+0.00789409
+0.00981174
+0.0118242
+0.01369
+0.0156373
+0.0176418
+0.0163644
+0.014201
+0.0120474
+0.00991018
+0.00772852
+0.00554874
+0.00338125
+0.00121956
+-0.000942126
+-0.00310126
+-0.00182505
+0.000169893
+0.00220241
+0.00427486
+0.0063802
+0.00850323
+0.0105473
+0.0126328
+0.0147489
+0.0167676
+0.0187966
+0.0208461
+0.0251358
+0.0233346
+0.0214969
+0.0196635
+0.0178067
+0.015994
+0.0142175
+0.0123556
+0.0105432
+0.00878466
+0.00708896
+0.00534253
+0.00377478
+0.00243463
+0.00144459
+0.0010795
+0.00159407
+0.00264524
+0.00396933
+0.00543267
+0.00706611
+0.00868032
+0.010379
+0.0121002
+0.0137897
+0.0154961
+0.0171213
+0.0187154
+0.0189286
+0.0193554
+0.0200141
+0.0206103
+0.0213834
+0.0207163
+0.0202014
+0.0198926
+0.0197988
+0.0198228
+0.0200394
+0.0193844
+0.0178562
+0.0164782
+0.0148882
+0.0131804
+0.0115742
+0.00989116
+0.00810619
+0.00635422
+0.00461959
+0.00315918
+0.00185481
+0.000733292
+0.00061134
+0.000841321
+0.00197009
+0.00360755
+0.00518778
+0.00670767
+0.00675111
+0.0055255
+0.004937
+0.00507074
+0.00566565
+0.00556565
+0.00399475
+0.00271706
+0.00112959
+0.000191089
+0.000808932
+0.00201056
+0.00360334
+0.00544875
+0.00747646
+0.00956423
+0.0116862
+0.0137422
+0.0156854
+0.0176866
+0.0167049
+0.0145432
+0.0123815
+0.0102198
+0.0080599
+0.00590053
+0.003734
+0.00156748
+-0.00059861
+-0.0027631
+-0.00261691
+-0.000537104
+0.00154762
+0.00363557
+0.00572789
+0.00787066
+0.00988532
+0.011889
+0.0139471
+0.015993
+0.0180289
+0.0200974
+0.0241605
+0.0223267
+0.0205356
+0.0186923
+0.0168655
+0.015052
+0.0132741
+0.011523
+0.00973757
+0.00800573
+0.00636023
+0.00489711
+0.00357628
+0.0024742
+0.00186253
+0.00205505
+0.00274999
+0.00394865
+0.00535347
+0.00684831
+0.00837795
+0.01007
+0.0116946
+0.0134057
+0.0151421
+0.0168565
+0.0185912
+0.0199223
+0.0202555
+0.0206836
+0.0213013
+0.0221041
+0.0222427
+0.0216388
+0.0211788
+0.0209063
+0.020817
+0.0209277
+0.0212067
+0.020514
+0.0190765
+0.017326
+0.0155775
+0.0139364
+0.0122324
+0.010381
+0.00826921
+0.00621125
+0.00427624
+0.00271187
+0.00133207
+-0.000265742
+-0.00133493
+-0.000805363
+0.000877068
+0.00235989
+0.00365613
+0.00522463
+0.00551303
+0.00401848
+0.003154
+0.00324063
+0.00369566
+0.00425275
+0.00290209
+0.00133236
+2.00552e-06
+-0.000852162
+-0.000298076
+0.00120148
+0.00336338
+0.0054219
+0.00745692
+0.00956099
+0.0116969
+0.0138482
+0.0159962
+0.0179627
+0.0170587
+0.0148839
+0.0127125
+0.0105453
+0.00836541
+0.0061879
+0.00401186
+0.00183584
+-0.000340197
+-0.00250708
+-0.00327939
+-0.0012239
+0.000852759
+0.00290565
+0.004989
+0.00702396
+0.00909519
+0.011148
+0.013204
+0.0152684
+0.0173291
+0.0194147
+0.0232864
+0.0214279
+0.0196007
+0.0178002
+0.0159841
+0.0141712
+0.0124042
+0.0106805
+0.00900478
+0.00740194
+0.00581755
+0.00453871
+0.00362977
+0.00283281
+0.00254443
+0.00302416
+0.00393911
+0.00519386
+0.00675427
+0.00827694
+0.00981636
+0.0113988
+0.0130752
+0.0147402
+0.0164426
+0.0181937
+0.0199292
+0.0211411
+0.0215168
+0.0220771
+0.0227222
+0.0234911
+0.0228782
+0.0223134
+0.0219211
+0.0217382
+0.0217379
+0.0219573
+0.0223534
+0.0215021
+0.0199147
+0.0181514
+0.0164909
+0.0146092
+0.012642
+0.0106098
+0.00854502
+0.00656235
+0.00475419
+0.00328278
+0.00150527
+-9.01789e-05
+-0.00199175
+-0.00198576
+-0.000403099
+0.000643564
+0.00227127
+0.003526
+0.00485821
+0.00304215
+0.00175771
+0.00151427
+0.00209886
+0.0032668
+0.00143736
+8.14703e-05
+-0.00123459
+-0.00189318
+0.000100469
+0.00192372
+0.00381807
+0.00587615
+0.00799114
+0.00998325
+0.0120445
+0.0141443
+0.0162638
+0.0183995
+0.0173126
+0.0151421
+0.012978
+0.0108242
+0.00865216
+0.00647754
+0.00430424
+0.00213495
+-2.97084e-05
+-0.00218391
+-0.00401728
+-0.00194667
+9.98299e-05
+0.00215742
+0.00422521
+0.0063086
+0.00841157
+0.0104794
+0.0125485
+0.0146285
+0.0167038
+0.0187666
+0.0225265
+0.0206407
+0.0188028
+0.0169729
+0.0151899
+0.0134186
+0.0116487
+0.00993481
+0.00831789
+0.00688534
+0.00554435
+0.00444471
+0.00364845
+0.00342366
+0.00353583
+0.004125
+0.00515901
+0.00647394
+0.00795233
+0.00958204
+0.0112317
+0.0128375
+0.0144516
+0.0161024
+0.017804
+0.0194982
+0.0212447
+0.0224902
+0.0228609
+0.0234146
+0.0241536
+0.0242542
+0.023567
+0.0230641
+0.0227258
+0.0225603
+0.02256
+0.0225499
+0.0212992
+0.0202093
+0.0192336
+0.0183862
+0.0170242
+0.015055
+0.0131534
+0.011239
+0.00930476
+0.00747885
+0.00582623
+0.00413947
+0.00233146
+0.00046999
+-0.00098257
+-0.00225119
+-0.00217519
+-0.000650972
+0.000446432
+0.00204035
+0.00356959
+0.00267466
+0.00101741
+0.00034421
+0.0013536
+0.00230012
+0.000405223
+-0.000810701
+-0.00215609
+-0.00132953
+0.000491211
+0.00255359
+0.00466395
+0.00675617
+0.00870025
+0.010733
+0.0127531
+0.0147528
+0.0168002
+0.0188784
+0.0176235
+0.0154609
+0.0133075
+0.0111684
+0.00901544
+0.00684093
+0.00468054
+0.00252921
+0.000382822
+-0.00176091
+-0.00388865
+-0.00269425
+-0.000631595
+0.00144925
+0.00355353
+0.0056672
+0.00780251
+0.00985276
+0.0119155
+0.0140096
+0.0161125
+0.0181544
+0.0218889
+0.0199839
+0.0181333
+0.0163132
+0.0145166
+0.0127724
+0.0111028
+0.00942312
+0.00783807
+0.0064398
+0.00543435
+0.00459004
+0.00415509
+0.00425165
+0.00460747
+0.00541531
+0.00650326
+0.00781162
+0.00927087
+0.0108416
+0.0124971
+0.0142474
+0.0158709
+0.0175203
+0.0191521
+0.0208779
+0.0225603
+0.0236384
+0.0242677
+0.0248316
+0.0255309
+0.0250356
+0.0244331
+0.0239523
+0.023638
+0.0235117
+0.0228567
+0.0214007
+0.0200786
+0.0189185
+0.0179077
+0.0170114
+0.0162805
+0.0154398
+0.0138949
+0.0120055
+0.0101771
+0.00838079
+0.00668739
+0.00495778
+0.0033634
+0.00174323
+0.000264244
+-0.00140569
+-0.0027106
+-0.00258021
+-0.000952238
+0.000822111
+0.00160995
+0.00120422
+0.000132094
+-0.0005797
+3.0399e-05
+0.000223333
+-0.000438078
+-0.00190967
+-0.00212459
+-0.000484768
+0.00116957
+0.00324359
+0.00518909
+0.00719206
+0.00928025
+0.011407
+0.0135541
+0.0156159
+0.0175821
+0.0195788
+0.0180002
+0.0158471
+0.0136958
+0.011545
+0.00940317
+0.00725676
+0.00511656
+0.00297915
+0.000860041
+-0.00125587
+-0.00333775
+-0.00334745
+-0.00121983
+0.00089356
+0.00298421
+0.00509887
+0.00722155
+0.00925446
+0.0113132
+0.0133715
+0.0154604
+0.0175718
+0.0213541
+0.0194772
+0.0175969
+0.015764
+0.0140101
+0.0122909
+0.0106888
+0.00911276
+0.00766217
+0.00638295
+0.00542225
+0.00500451
+0.00487574
+0.00509227
+0.005803
+0.00675907
+0.0078645
+0.00914988
+0.010684
+0.0122125
+0.0137975
+0.0154706
+0.0172277
+0.0189126
+0.0205782
+0.0222153
+0.0239241
+0.0247681
+0.0254325
+0.0262563
+0.0264653
+0.0257955
+0.0252521
+0.0248625
+0.0246621
+0.0235169
+0.0219152
+0.0204226
+0.0190327
+0.0178039
+0.0167114
+0.0157863
+0.0150049
+0.0143848
+0.0134696
+0.0127513
+0.0110595
+0.00939938
+0.00765868
+0.00615316
+0.00450182
+0.00297516
+0.00151856
+8.9439e-05
+-0.00119263
+-0.00238916
+-0.00213425
+-0.000537732
+4.41216e-05
+-0.000829553
+-0.0014075
+-0.00180939
+-0.00183664
+-0.0018878
+-0.00207103
+-0.00257347
+-0.000648076
+0.000959409
+0.00254517
+0.00414882
+0.00602853
+0.0080163
+0.0100447
+0.0120371
+0.0140885
+0.0161764
+0.0182885
+0.020417
+0.0184182
+0.0162767
+0.0141373
+0.0119981
+0.00986837
+0.00776206
+0.00565021
+0.00354859
+0.0014774
+-0.000574356
+-0.00258328
+-0.00387884
+-0.00178317
+0.000303515
+0.00238637
+0.00447058
+0.00659949
+0.00869221
+0.0107881
+0.0128627
+0.0149638
+0.0170404
+0.0208553
+0.0190072
+0.0171619
+0.0154016
+0.0136834
+0.0120007
+0.0104231
+0.00901883
+0.0077444
+0.00670777
+0.00589644
+0.00565473
+0.00569926
+0.00615739
+0.00694439
+0.00804385
+0.00933084
+0.0105739
+0.0119636
+0.0135474
+0.0152164
+0.0168046
+0.0184684
+0.020206
+0.0219618
+0.0236375
+0.0252869
+0.0260134
+0.026649
+0.0274431
+0.0269231
+0.026266
+0.0257788
+0.0254421
+0.0245331
+0.0228004
+0.0211446
+0.0195933
+0.0181507
+0.0168464
+0.0156873
+0.0147266
+0.0139283
+0.0132595
+0.0126841
+0.0119312
+0.0110387
+0.0102088
+0.00896844
+0.00735904
+0.00593661
+0.00454356
+0.00314803
+0.0017014
+0.000606396
+-0.000788583
+-0.00252157
+-0.00206576
+-0.00184222
+-0.00297379
+-0.00326165
+-0.00357739
+-0.00395618
+-0.00402987
+-0.00411549
+-0.00275926
+-0.000685492
+0.00119401
+0.00308748
+0.00505934
+0.00714955
+0.00893603
+0.0108551
+0.0128604
+0.0149014
+0.0169129
+0.018943
+0.0210054
+0.0188832
+0.0167579
+0.0146496
+0.0125479
+0.0104466
+0.00837417
+0.00631568
+0.00427161
+0.00225712
+0.00027345
+-0.00167637
+-0.00344741
+-0.00236797
+-0.000250726
+0.00185667
+0.00393441
+0.0060576
+0.00817565
+0.0102431
+0.0122946
+0.0143872
+0.0165015
+0.0204097
+0.0185639
+0.0167894
+0.0150932
+0.0134098
+0.0118582
+0.0104508
+0.00909846
+0.0079872
+0.00708219
+0.00651677
+0.00644332
+0.00671603
+0.00733338
+0.00819916
+0.0093436
+0.0106455
+0.0120361
+0.0134333
+0.0148732
+0.0164614
+0.0181456
+0.0198397
+0.0214918
+0.0232156
+0.0249982
+0.0267058
+0.0273698
+0.0279844
+0.0281308
+0.027429
+0.0268879
+0.0264283
+0.0258755
+0.0240476
+0.0222772
+0.0205793
+0.0189819
+0.0174893
+0.0161313
+0.0148979
+0.0138525
+0.0130328
+0.0123527
+0.0118438
+0.0113115
+0.0105152
+0.00961935
+0.00903048
+0.0086904
+0.00757858
+0.00615777
+0.00471706
+0.00360538
+0.00187635
+-0.000227441
+-0.00238493
+-0.00392718
+-0.00398506
+-0.00470378
+-0.00528379
+-0.00554664
+-0.00612599
+-0.00618221
+-0.00494643
+-0.00281479
+-0.000850812
+0.00118562
+0.00314766
+0.00513416
+0.00714957
+0.00924506
+0.0113217
+0.0133406
+0.0153558
+0.0174013
+0.0190463
+0.0202663
+0.0194497
+0.0173484
+0.0152698
+0.0132064
+0.0111616
+0.00911758
+0.0071039
+0.00512587
+0.0031458
+0.00125112
+-0.00056197
+-0.00221086
+-0.00216739
+-0.000713461
+0.00139442
+0.00347802
+0.00553217
+0.00764708
+0.00979535
+0.0118277
+0.0138882
+0.0159778
+0.0201058
+0.0182797
+0.0165144
+0.0148435
+0.0132727
+0.0118025
+0.0104853
+0.00940214
+0.00848345
+0.00775321
+0.0073343
+0.00740757
+0.00789505
+0.00863697
+0.00958919
+0.0106837
+0.0120166
+0.013438
+0.0148735
+0.0163772
+0.0178397
+0.0194192
+0.0211063
+0.0228507
+0.0245339
+0.0262458
+0.0279681
+0.0286391
+0.0294224
+0.0287071
+0.0280242
+0.027494
+0.0271307
+0.0256038
+0.023755
+0.0219611
+0.0202366
+0.0186099
+0.0170744
+0.015627
+0.0143563
+0.0132667
+0.0123995
+0.0117052
+0.0112278
+0.0107821
+0.0101985
+0.00930247
+0.00856413
+0.00823836
+0.00825165
+0.00762695
+0.00574154
+0.00357663
+0.00147313
+-0.000229222
+-0.00220225
+-0.00423546
+-0.00601294
+-0.00668929
+-0.00736733
+-0.00763522
+-0.00815464
+-0.00767479
+-0.00553262
+-0.00344157
+-0.00150161
+0.000429812
+0.00247348
+0.0046194
+0.00665447
+0.00870316
+0.0108074
+0.0128623
+0.0149244
+0.0167539
+0.0178627
+0.0191581
+0.0201133
+0.0180622
+0.016013
+0.0139681
+0.0119623
+0.00997347
+0.00799285
+0.00606852
+0.00419904
+0.00243255
+0.000688461
+-0.00109605
+-0.0017747
+-0.00122186
+0.000841127
+0.00293167
+0.00506426
+0.00716594
+0.00919725
+0.0112476
+0.0133072
+0.0154005
+0.019954
+0.0181442
+0.0164004
+0.0147545
+0.0132324
+0.0118809
+0.0107729
+0.00979948
+0.00897456
+0.00853539
+0.00827465
+0.00845111
+0.0090417
+0.00989184
+0.0108904
+0.0121226
+0.0133864
+0.014783
+0.0163158
+0.0177866
+0.0193354
+0.0208312
+0.0224149
+0.024093
+0.0258296
+0.0275884
+0.0291407
+0.0298729
+0.0299767
+0.0292813
+0.0286788
+0.0282059
+0.0274142
+0.0255179
+0.0236553
+0.0218492
+0.0201165
+0.0184499
+0.0168561
+0.0153936
+0.014077
+0.0129605
+0.0120693
+0.011354
+0.0109044
+0.0104445
+0.00964134
+0.00904206
+0.0082848
+0.00775877
+0.00737251
+0.00687867
+0.00630229
+0.00420737
+0.0022028
+0.000226833
+-0.0019396
+-0.00411168
+-0.00628519
+-0.00846433
+-0.00943231
+-0.00976863
+-0.00946384
+-0.00751632
+-0.00555644
+-0.00358833
+-0.00180971
+0.000115954
+0.00208264
+0.00411356
+0.00621978
+0.00822505
+0.0102497
+0.0123018
+0.0143948
+0.0156481
+0.0168815
+0.018226
+0.0197091
+0.01884
+0.0168397
+0.0148448
+0.0128586
+0.010914
+0.00902508
+0.00715962
+0.00539678
+0.00356278
+0.00172169
+-0.000235141
+-0.00203731
+-0.00172365
+0.000277124
+0.00232237
+0.00441855
+0.00654272
+0.00861566
+0.0107207
+0.0127943
+0.0148898
+0.0199317
+0.0181814
+0.0164862
+0.0148983
+0.0134268
+0.0121208
+0.0110713
+0.0103468
+0.00973963
+0.00934595
+0.00938225
+0.00965751
+0.0102292
+0.0111477
+0.0122403
+0.0134055
+0.014754
+0.0162109
+0.0176346
+0.019199
+0.0207375
+0.0223081
+0.0238437
+0.0254352
+0.0271034
+0.0288336
+0.0303728
+0.0310985
+0.030537
+0.0298282
+0.0292618
+0.0288386
+0.0274893
+0.025584
+0.0237261
+0.0219259
+0.0201629
+0.0184903
+0.0169005
+0.0154422
+0.0141303
+0.0130184
+0.0121251
+0.0113512
+0.010888
+0.00998569
+0.0091278
+0.00849236
+0.00783021
+0.0073506
+0.0068195
+0.00653414
+0.00601181
+0.0039279
+0.00192639
+-5.7417e-05
+-0.00220677
+-0.00438866
+-0.00657641
+-0.00876563
+-0.0108273
+-0.0113775
+-0.00945148
+-0.00761127
+-0.00548684
+-0.00336289
+-0.0012912
+0.000737267
+0.00240209
+0.00410784
+0.00592267
+0.00789735
+0.00994503
+0.0120432
+0.0135752
+0.0147118
+0.0159234
+0.017318
+0.0188645
+0.0197273
+0.0177423
+0.0157905
+0.0138891
+0.0119977
+0.0101806
+0.00834401
+0.00645629
+0.00455891
+0.0025494
+0.000490825
+-0.00156819
+-0.00186142
+-0.000167885
+0.00185456
+0.00391519
+0.00604522
+0.00819173
+0.010275
+0.0123345
+0.0144241
+0.0200598
+0.0183329
+0.0167013
+0.0152045
+0.0138324
+0.0126154
+0.0116089
+0.0109527
+0.0104555
+0.010266
+0.0104199
+0.0108969
+0.0114942
+0.012405
+0.0135024
+0.0148035
+0.0160852
+0.0174888
+0.0190082
+0.0205576
+0.0221358
+0.0237259
+0.025303
+0.026873
+0.0284722
+0.0301315
+0.0316302
+0.0319444
+0.031139
+0.0304436
+0.0298888
+0.0294868
+0.0277239
+0.025836
+0.0239927
+0.0221761
+0.0204329
+0.0187773
+0.0171953
+0.015759
+0.0144897
+0.0134028
+0.0125025
+0.0117511
+0.0109547
+0.00989019
+0.00906909
+0.00838617
+0.00770806
+0.00731887
+0.00682406
+0.00650609
+0.00588831
+0.00379368
+0.00178386
+-0.000222951
+-0.0022608
+-0.00437659
+-0.00651891
+-0.00866755
+-0.0107544
+-0.0111072
+-0.00914092
+-0.00720248
+-0.00529572
+-0.00334274
+-0.00134122
+0.000693206
+0.0027515
+0.00441682
+0.00610279
+0.00801131
+0.0100358
+0.0117641
+0.0127933
+0.0138678
+0.0151453
+0.016542
+0.0179636
+0.019528
+0.018767
+0.0168705
+0.0150081
+0.0132076
+0.0113016
+0.00941232
+0.00743554
+0.00536017
+0.00331688
+0.00137183
+-0.000323363
+-0.000532702
+-0.000615774
+0.00144851
+0.00350601
+0.00561074
+0.00768933
+0.00977824
+0.0118733
+0.0139219
+0.0202807
+0.0186118
+0.0170601
+0.0156105
+0.0143051
+0.0131771
+0.0122979
+0.0116683
+0.011272
+0.0111317
+0.011344
+0.0118868
+0.0126086
+0.0135703
+0.0147146
+0.0159927
+0.0174193
+0.0188656
+0.0203282
+0.0218638
+0.0234805
+0.0251084
+0.0267393
+0.0283185
+0.0299164
+0.03152
+0.0329087
+0.0326598
+0.0318682
+0.0311851
+0.0306419
+0.0300201
+0.0281278
+0.0262565
+0.0244117
+0.0226288
+0.0209234
+0.01928
+0.0177423
+0.0163541
+0.0151258
+0.0140877
+0.0132299
+0.0124702
+0.0113007
+0.0102417
+0.00942578
+0.00880931
+0.00819234
+0.00774981
+0.0073771
+0.00686179
+0.00553915
+0.00344591
+0.00144028
+-0.000619398
+-0.00275321
+-0.00478299
+-0.00683623
+-0.00894288
+-0.0110775
+-0.0111559
+-0.00918789
+-0.00724736
+-0.00524208
+-0.00311444
+-0.000991928
+0.0008125
+0.00252226
+0.00433518
+0.00637642
+0.00834192
+0.00918466
+0.00997081
+0.0110701
+0.0123243
+0.0137127
+0.0150831
+0.0166299
+0.0183086
+0.0198674
+0.0180476
+0.0161569
+0.014272
+0.0122828
+0.0102162
+0.00821351
+0.00628466
+0.00433372
+0.00259024
+0.00100405
+0.000497285
+-0.00103175
+0.00101423
+0.00305391
+0.00512199
+0.00722584
+0.00922517
+0.0112957
+0.0134045
+0.0206005
+0.0190768
+0.0175744
+0.0161646
+0.014923
+0.0138453
+0.0129825
+0.0124017
+0.0121235
+0.0121052
+0.012376
+0.0129384
+0.0137504
+0.0147035
+0.0158579
+0.0171742
+0.0185451
+0.0200276
+0.021619
+0.0232065
+0.0247651
+0.0263881
+0.028081
+0.0296983
+0.0313497
+0.03297
+0.0337707
+0.0329488
+0.032255
+0.0316977
+0.0312842
+0.0305509
+0.0286767
+0.0268195
+0.0250098
+0.0232616
+0.0215942
+0.0200038
+0.0185263
+0.0172015
+0.0160383
+0.0150629
+0.0141998
+0.0131322
+0.0119878
+0.0109697
+0.010164
+0.00965176
+0.00910755
+0.00863477
+0.00806532
+0.00703731
+0.00504089
+0.00298733
+0.000882708
+-0.000995649
+-0.0030311
+-0.00516154
+-0.00731706
+-0.00938073
+-0.0114384
+-0.0115451
+-0.00953853
+-0.00748544
+-0.00547594
+-0.00345696
+-0.00148178
+0.000345826
+0.00188428
+0.00373644
+0.00582755
+0.00670303
+0.00725879
+0.00816015
+0.00947196
+0.0107625
+0.0122555
+0.0138188
+0.0154924
+0.0172819
+0.019155
+0.019125
+0.0170797
+0.0150753
+0.0131102
+0.011163
+0.00920325
+0.00736628
+0.00557803
+0.00386029
+0.00238761
+0.00126959
+-0.000738548
+0.000656681
+0.00268928
+0.00468758
+0.00673636
+0.00884701
+0.0109155
+0.0129896
+0.0211084
+0.019579
+0.0181632
+0.0169133
+0.0156969
+0.0146921
+0.0139284
+0.0134424
+0.0131862
+0.0132631
+0.013579
+0.01414
+0.0149558
+0.0159118
+0.0170182
+0.0182969
+0.0196952
+0.0212032
+0.0227333
+0.0243493
+0.0260193
+0.0277089
+0.0293327
+0.0310224
+0.0326543
+0.0343139
+0.0340578
+0.033243
+0.0325554
+0.0320033
+0.0315938
+0.0312134
+0.0293444
+0.0275229
+0.0257589
+0.0240652
+0.0224576
+0.0209329
+0.0195258
+0.0182737
+0.0171831
+0.0162429
+0.0152738
+0.0140542
+0.0129734
+0.0120012
+0.0112558
+0.0107796
+0.0103868
+0.00976237
+0.00860071
+0.00652274
+0.00455173
+0.00256312
+0.000414705
+-0.0016725
+-0.00377368
+-0.0057864
+-0.00780003
+-0.00988923
+-0.0120141
+-0.0121482
+-0.0101502
+-0.00820578
+-0.00624864
+-0.0042983
+-0.00252226
+-0.000982531
+0.00104265
+0.00316169
+0.00470531
+0.00473928
+0.00545922
+0.00649804
+0.00780616
+0.00927619
+0.0109336
+0.0126399
+0.0144684
+0.0163859
+0.0183647
+0.0192855
+0.0172632
+0.0152651
+0.0133276
+0.0114558
+0.00966569
+0.00794679
+0.0063678
+0.00503642
+0.00371405
+0.00169058
+-0.000320443
+0.000258221
+0.00230355
+0.00437291
+0.00638182
+0.00843334
+0.0105302
+0.0125948
+0.0217576
+0.0202621
+0.0188979
+0.0177004
+0.0166618
+0.0157305
+0.0149982
+0.0145494
+0.014316
+0.0144065
+0.0147755
+0.0153752
+0.016217
+0.0171613
+0.0182631
+0.0195125
+0.0208524
+0.0223031
+0.0238668
+0.0254959
+0.0271386
+0.0288122
+0.0305514
+0.032306
+0.0339917
+0.0354039
+0.0344819
+0.0336773
+0.0329988
+0.0324543
+0.0320506
+0.03178
+0.0301451
+0.028375
+0.0266675
+0.0250353
+0.0234942
+0.0220413
+0.0207097
+0.0195128
+0.0184704
+0.0175956
+0.0163597
+0.0152375
+0.0142181
+0.0132882
+0.0126214
+0.0121782
+0.0115645
+0.0104652
+0.00845952
+0.00638363
+0.00436468
+0.00240706
+0.000225745
+-0.00190898
+-0.00403984
+-0.00620074
+-0.00830264
+-0.0104166
+-0.0125569
+-0.0130084
+-0.0110961
+-0.00915703
+-0.00724236
+-0.00541502
+-0.00328715
+-0.0011458
+0.000772872
+0.00281655
+0.00282104
+0.00281694
+0.00364099
+0.00483162
+0.00637649
+0.00806184
+0.00984313
+0.0116985
+0.0136536
+0.0156712
+0.0177177
+0.0196153
+0.0175439
+0.0154882
+0.0134751
+0.0115269
+0.00966884
+0.00793814
+0.0063476
+0.00491103
+0.00382143
+0.00210447
+0.00010433
+-0.000150503
+0.00188448
+0.00394625
+0.00603296
+0.00811283
+0.0101843
+0.0122939
+0.0224744
+0.0211498
+0.0198463
+0.0187089
+0.017732
+0.0169201
+0.016225
+0.0157641
+0.0155485
+0.0156319
+0.0160057
+0.0166169
+0.0174831
+0.0184163
+0.0194679
+0.0206821
+0.0220123
+0.023472
+0.0250001
+0.0265647
+0.0282087
+0.0298845
+0.0316138
+0.0333941
+0.0351261
+0.0359417
+0.0350338
+0.0342422
+0.0335752
+0.0330401
+0.0326395
+0.0323766
+0.0310799
+0.0293662
+0.0277198
+0.0261534
+0.0246821
+0.0233025
+0.0220298
+0.0208835
+0.019913
+0.0188338
+0.0176518
+0.0165708
+0.0156505
+0.014767
+0.0141698
+0.0137151
+0.0124858
+0.0104848
+0.00838429
+0.00625991
+0.00411287
+0.0020171
+0.000100281
+-0.00193259
+-0.00408027
+-0.00625625
+-0.00842566
+-0.0105319
+-0.0126645
+-0.0139888
+-0.0121226
+-0.0100562
+-0.00788145
+-0.00571883
+-0.00356897
+-0.00144055
+0.00061755
+0.00110824
+0.00100518
+0.00103862
+0.00201818
+0.00351189
+0.00523834
+0.00715483
+0.00913463
+0.0110847
+0.013111
+0.015183
+0.0172842
+0.0193976
+0.0177745
+0.0157419
+0.013758
+0.0118471
+0.00999156
+0.00809691
+0.00632928
+0.00473794
+0.00347055
+0.00222449
+0.00034103
+-0.000555482
+0.00143901
+0.00348431
+0.00557714
+0.00772256
+0.00983248
+0.0119078
+0.0228837
+0.0217626
+0.0207822
+0.0198318
+0.0188994
+0.0181659
+0.0175882
+0.0171325
+0.0169269
+0.0170034
+0.0173582
+0.0179276
+0.0187333
+0.01974
+0.02076
+0.0219095
+0.0231987
+0.024588
+0.0260875
+0.0276641
+0.0293174
+0.0309525
+0.0326252
+0.0343531
+0.0361312
+0.036587
+0.0356955
+0.0349189
+0.034265
+0.0337406
+0.0333428
+0.0330855
+0.032137
+0.0304828
+0.0289001
+0.0274012
+0.0259783
+0.0246647
+0.0234581
+0.0223851
+0.0214558
+0.0202009
+0.0190735
+0.0180712
+0.0172054
+0.0164058
+0.0158585
+0.0147199
+0.0125488
+0.010362
+0.00817731
+0.00599684
+0.00382066
+0.00165731
+-0.0003566
+-0.00223966
+-0.00429144
+-0.00642738
+-0.00854085
+-0.0106816
+-0.0128391
+-0.0147268
+-0.01258
+-0.0104513
+-0.00834481
+-0.00620568
+-0.00411652
+-0.00208291
+-0.000344455
+-0.000490539
+-0.000575776
+-0.000705997
+0.000876713
+0.00262839
+0.00458582
+0.00666888
+0.00880435
+0.0108304
+0.0128967
+0.0149983
+0.0171222
+0.0192534
+0.0182384
+0.0161812
+0.0141298
+0.0121183
+0.0101557
+0.00822223
+0.00637042
+0.00463117
+0.00320453
+0.0021297
+0.000302654
+-0.000761926
+0.00120829
+0.0032383
+0.00528245
+0.00734428
+0.0094642
+0.0115216
+0.0234601
+0.0223684
+0.0214455
+0.0206723
+0.0200997
+0.0195523
+0.0190656
+0.0186466
+0.0184579
+0.018528
+0.0188349
+0.0193569
+0.0201054
+0.0210562
+0.0221276
+0.0232723
+0.0244997
+0.0258191
+0.027251
+0.0287785
+0.03038
+0.0320429
+0.0337487
+0.0354218
+0.0371488
+0.0373498
+0.036477
+0.0357174
+0.0350784
+0.0345606
+0.0341723
+0.0339214
+0.0333049
+0.0317116
+0.0301927
+0.0287391
+0.0273827
+0.0261397
+0.024997
+0.0239929
+0.022876
+0.0217035
+0.0206248
+0.019699
+0.0188868
+0.0176054
+0.0164438
+0.0145578
+0.0123673
+0.0101768
+0.00798638
+0.00579621
+0.00360667
+0.0014207
+-0.000738985
+-0.0025215
+-0.00444726
+-0.00646834
+-0.0083476
+-0.0103421
+-0.0123498
+-0.0142687
+-0.0131199
+-0.011036
+-0.00897473
+-0.00695571
+-0.00503448
+-0.00329367
+-0.00191594
+-0.00169132
+-0.00218015
+-0.00143117
+0.000565387
+0.0023444
+0.00431585
+0.00639518
+0.00834618
+0.0103748
+0.0124303
+0.0145222
+0.0166396
+0.0187658
+0.0185113
+0.0164177
+0.014336
+0.012275
+0.0102239
+0.00824491
+0.00635278
+0.00446255
+0.00287635
+0.00172643
+0.000205839
+-0.000810882
+0.00115854
+0.0031034
+0.00513226
+0.00712843
+0.00917906
+0.0112723
+0.0241418
+0.0231169
+0.0222397
+0.0215374
+0.0209939
+0.0206633
+0.0205231
+0.0202594
+0.0200859
+0.0201505
+0.0204251
+0.0209075
+0.0216023
+0.0224899
+0.0235241
+0.024647
+0.0258812
+0.0271531
+0.028518
+0.0299811
+0.0315286
+0.0331487
+0.0348308
+0.0365539
+0.0382649
+0.0382231
+0.0373707
+0.0366296
+0.0360045
+0.035497
+0.0351191
+0.034875
+0.0345722
+0.0330381
+0.0315626
+0.030174
+0.028885
+0.0277093
+0.0266274
+0.0256196
+0.0243909
+0.0229584
+0.021485
+0.0200724
+0.0186599
+0.0173044
+0.0161211
+0.0146242
+0.0124375
+0.0102527
+0.00807092
+0.00589582
+0.003727
+0.00158184
+-0.000491774
+-0.00209918
+-0.00366268
+-0.0055854
+-0.00752974
+-0.00955208
+-0.0115205
+-0.013392
+-0.0138593
+-0.011849
+-0.00991267
+-0.00806131
+-0.00634164
+-0.00467483
+-0.00333162
+-0.00273745
+-0.00299984
+-0.00198169
+-8.73952e-05
+0.00153847
+0.00346206
+0.00553058
+0.00762725
+0.00976528
+0.0118822
+0.0140197
+0.0161715
+0.0183314
+0.0186911
+0.0165912
+0.0144578
+0.0123444
+0.0102635
+0.00822372
+0.00628389
+0.00441691
+0.00264616
+0.00118901
+1.07013e-05
+-0.000956239
+0.000937236
+0.00289153
+0.0049708
+0.00709432
+0.00913901
+0.0112369
+0.024908
+0.0239435
+0.0231229
+0.0224457
+0.021967
+0.0216822
+0.0215866
+0.021675
+0.0217912
+0.0218508
+0.0221182
+0.0225644
+0.0232097
+0.0240354
+0.0249979
+0.0260925
+0.0272679
+0.0285558
+0.0298829
+0.0312821
+0.0327682
+0.0343299
+0.0359572
+0.0376418
+0.0393707
+0.0391976
+0.0383669
+0.0376454
+0.0370341
+0.036541
+0.0361739
+0.035937
+0.0358242
+0.0344333
+0.0330202
+0.0316955
+0.030471
+0.0293525
+0.0279984
+0.026261
+0.024596
+0.0230192
+0.0215408
+0.0200958
+0.0186356
+0.017278
+0.0160928
+0.0148926
+0.0127456
+0.0106164
+0.00851516
+0.00638624
+0.00430969
+0.00230623
+0.000405336
+-0.00116175
+-0.00279534
+-0.00475249
+-0.00667329
+-0.00864443
+-0.0104214
+-0.0120794
+-0.0135515
+-0.0128777
+-0.0109024
+-0.00902564
+-0.00728999
+-0.00584451
+-0.00470542
+-0.00422097
+-0.0044749
+-0.00302073
+-0.00111418
+0.000967927
+0.00302097
+0.00510474
+0.00723518
+0.0093932
+0.0115635
+0.0137403
+0.0159209
+0.0180962
+0.0188987
+0.0167638
+0.0146455
+0.0125521
+0.0104983
+0.00845999
+0.00644195
+0.00438662
+0.00247369
+0.000801874
+-0.000240648
+-0.0011395
+0.000781039
+0.00279324
+0.00487754
+0.00700666
+0.00909092
+0.0112153
+0.0257058
+0.0247844
+0.0239937
+0.0233816
+0.0229629
+0.0227312
+0.0226505
+0.0227755
+0.0231067
+0.0235942
+0.0238513
+0.0242995
+0.0249
+0.0256682
+0.0265708
+0.0276034
+0.0287437
+0.0299723
+0.0313023
+0.0326784
+0.0341037
+0.0356068
+0.0371783
+0.0388099
+0.0404943
+0.0402648
+0.0394565
+0.0387554
+0.0381619
+0.0376834
+0.0373277
+0.037098
+0.0369879
+0.035908
+0.0345552
+0.0332917
+0.0317984
+0.0299837
+0.028219
+0.026496
+0.0248468
+0.023287
+0.021784
+0.0203206
+0.0188673
+0.0175276
+0.0163605
+0.0154165
+0.0133097
+0.0112346
+0.00918475
+0.00720809
+0.00525022
+0.00325758
+0.00128179
+-0.000582851
+-0.00189152
+-0.00374838
+-0.0055736
+-0.00733611
+-0.00902865
+-0.0105204
+-0.0118186
+-0.0112038
+-0.0104709
+-0.00938469
+-0.00827209
+-0.00704831
+-0.00627311
+-0.00604775
+-0.0056033
+-0.00363879
+-0.00148061
+0.000671788
+0.00279971
+0.00496325
+0.00713449
+0.00931445
+0.0114699
+0.0136319
+0.0158018
+0.0179768
+0.0192721
+0.0171838
+0.0150584
+0.0129129
+0.0107856
+0.0086898
+0.00654902
+0.00443552
+0.00237267
+0.000533901
+-0.000763405
+-0.00116888
+0.000665917
+0.00269302
+0.00481519
+0.00694799
+0.00906174
+0.0112047
+0.0266542
+0.0257348
+0.0249736
+0.0243861
+0.0239851
+0.0237798
+0.0237467
+0.0239048
+0.0242535
+0.0247582
+0.0254217
+0.0260674
+0.0266437
+0.0273686
+0.0282261
+0.0292005
+0.030281
+0.0314759
+0.0327466
+0.034109
+0.0355241
+0.0369696
+0.0384854
+0.0400626
+0.0416935
+0.0414204
+0.0406351
+0.0399547
+0.0393793
+0.0389158
+0.0385714
+0.0383492
+0.0382418
+0.0374529
+0.0358631
+0.033983
+0.0321424
+0.0303482
+0.0286061
+0.0269079
+0.0252855
+0.0237546
+0.0222415
+0.0207657
+0.0193459
+0.0180417
+0.0169101
+0.0159999
+0.0140748
+0.0121037
+0.0101099
+0.00812922
+0.00603867
+0.00399504
+0.00213139
+0.000504293
+-0.000729363
+-0.00256833
+-0.00425465
+-0.00593962
+-0.007543
+-0.00903626
+-0.00972249
+-0.0091345
+-0.00852493
+-0.00770634
+-0.00665797
+-0.00568462
+-0.00529018
+-0.00527416
+-0.00576094
+-0.00359209
+-0.00146127
+0.000645444
+0.00280584
+0.0049842
+0.00717001
+0.00935809
+0.0115472
+0.0137368
+0.0159267
+0.0181167
+0.0195463
+0.0173751
+0.0152094
+0.0130522
+0.0109068
+0.00875243
+0.00659868
+0.00447139
+0.00236784
+0.000348123
+-0.0012954
+-0.00142356
+0.000673296
+0.00276507
+0.00481644
+0.00687878
+0.00887915
+0.0108673
+0.0276931
+0.0268088
+0.026079
+0.0255169
+0.0251339
+0.0249381
+0.0248989
+0.0250498
+0.0253895
+0.0259106
+0.0266025
+0.0274394
+0.0283818
+0.0291121
+0.0299382
+0.0308693
+0.0318945
+0.0330322
+0.0342696
+0.0355743
+0.0369624
+0.0384036
+0.039862
+0.0413851
+0.0429659
+0.0426573
+0.0418953
+0.0412356
+0.0406783
+0.0402298
+0.0398967
+0.039682
+0.0395772
+0.0381925
+0.0363009
+0.0344447
+0.0326301
+0.0308644
+0.0291531
+0.0274887
+0.0259027
+0.0243758
+0.0228721
+0.0214126
+0.0200537
+0.0187985
+0.0177153
+0.0168306
+0.0150186
+0.0129218
+0.0108447
+0.00882269
+0.00690433
+0.00504056
+0.0031659
+0.00158994
+0.000430075
+-0.00118036
+-0.0028702
+-0.00458357
+-0.00605584
+-0.00757946
+-0.00764683
+-0.00712613
+-0.00638338
+-0.00578209
+-0.00486749
+-0.00414422
+-0.00384663
+-0.0043132
+-0.0052759
+-0.00332872
+-0.00134804
+0.000767343
+0.00290943
+0.00506014
+0.00723392
+0.00941553
+0.0116006
+0.0137874
+0.0159753
+0.0181639
+0.0197521
+0.017602
+0.0154592
+0.013309
+0.0111745
+0.00902953
+0.00684639
+0.00466837
+0.00250902
+0.00038782
+-0.00160314
+-0.00206295
+-1.88984e-05
+0.00206762
+0.00401943
+0.00601819
+0.00811662
+0.0102358
+0.0288485
+0.0280007
+0.0273028
+0.0267665
+0.0264016
+0.0262153
+0.0261836
+0.0263271
+0.0266505
+0.0271474
+0.0278085
+0.0286224
+0.0295765
+0.030657
+0.031664
+0.0325436
+0.0335433
+0.034641
+0.0358248
+0.0371003
+0.0384372
+0.0398115
+0.0412564
+0.0427647
+0.04431
+0.0439687
+0.0432297
+0.0425907
+0.0420514
+0.0416177
+0.0412958
+0.0410884
+0.0406247
+0.038728
+0.0368639
+0.0350376
+0.0332554
+0.0315246
+0.0298512
+0.0281634
+0.0264683
+0.024842
+0.0233
+0.0218691
+0.0205723
+0.0194366
+0.0184612
+0.0176838
+0.0157059
+0.0137007
+0.011762
+0.00985186
+0.00794553
+0.00611225
+0.00450098
+0.00303763
+0.0015556
+-9.29005e-06
+-0.0016124
+-0.00320493
+-0.00462745
+-0.00601689
+-0.00558043
+-0.00498251
+-0.00427947
+-0.00372328
+-0.00297396
+-0.00249582
+-0.00249787
+-0.00336861
+-0.0040341
+-0.00253627
+-0.000449587
+0.00133346
+0.00335985
+0.00547157
+0.00762318
+0.00978584
+0.0119185
+0.0140659
+0.0162168
+0.0183767
+0.020065
+0.0178896
+0.0157185
+0.0135537
+0.0113987
+0.00926057
+0.00708728
+0.00490885
+0.00274398
+0.000572267
+-0.00160163
+-0.00241247
+-0.000566181
+0.00131557
+0.0033751
+0.00548134
+0.00756863
+0.0096898
+0.0301192
+0.0293082
+0.0286421
+0.0281313
+0.0277844
+0.0276074
+0.0275773
+0.0277136
+0.028021
+0.0284941
+0.0291246
+0.0299027
+0.0308172
+0.0318563
+0.0330083
+0.0342611
+0.0352267
+0.036276
+0.0374139
+0.0386369
+0.0399427
+0.0412849
+0.0426799
+0.0441396
+0.0456578
+0.0453479
+0.0446318
+0.0440132
+0.0434915
+0.0430723
+0.0427614
+0.0425611
+0.0412451
+0.0393783
+0.0375465
+0.0357551
+0.0340104
+0.0321825
+0.0303958
+0.0286652
+0.0270016
+0.0254095
+0.0239041
+0.0225116
+0.0212541
+0.0201568
+0.0192447
+0.0185019
+0.0166436
+0.0147204
+0.0127967
+0.0109125
+0.00912587
+0.00752931
+0.00599614
+0.00439886
+0.00269507
+0.00105607
+-0.000469194
+-0.00198416
+-0.00306447
+-0.00399467
+-0.00361897
+-0.00290985
+-0.00223414
+-0.00162554
+-0.00111707
+-0.00078491
+-0.00103124
+-0.00252112
+-0.00283958
+-0.00213978
+-0.000285203
+0.00186689
+0.00403928
+0.00616704
+0.00813678
+0.0101971
+0.0123025
+0.0144333
+0.0165798
+0.0187364
+0.0203609
+0.0181723
+0.0159842
+0.0137969
+0.0116109
+0.00942717
+0.00724758
+0.00507753
+0.00293827
+0.00089813
+-0.00107625
+-0.00245697
+-0.000797387
+0.00103483
+0.00299052
+0.00507999
+0.00716915
+0.00928785
+0.0314911
+0.0307163
+0.0300815
+0.0295956
+0.029266
+0.029098
+0.0290695
+0.0291988
+0.0294907
+0.0299406
+0.0305412
+0.0312841
+0.0321594
+0.0331564
+0.0342648
+0.0354739
+0.0367738
+0.0379646
+0.0390591
+0.0402342
+0.0414898
+0.0428147
+0.0441662
+0.0455783
+0.0470501
+0.0467892
+0.0460954
+0.0454967
+0.0449922
+0.0445872
+0.0439594
+0.0426768
+0.0414702
+0.0401377
+0.0382935
+0.0364175
+0.0345721
+0.0327693
+0.0310164
+0.0293225
+0.0276984
+0.0261487
+0.0246885
+0.0233428
+0.0221326
+0.0210811
+0.0202114
+0.0195055
+0.0176739
+0.0157672
+0.0139213
+0.0121775
+0.0105883
+0.00896569
+0.00741471
+0.00572042
+0.00411509
+0.00260635
+0.00108997
+-0.000290988
+-0.00164
+-0.00198323
+-0.00192967
+-0.00112732
+-0.000314448
+0.000403558
+0.000462853
+0.00106704
+-0.000234425
+-0.00179852
+-0.00175203
+-0.00107006
+0.000448714
+0.00251888
+0.00454718
+0.00659943
+0.00869636
+0.0108305
+0.0129834
+0.0150337
+0.017105
+0.0192028
+0.0205663
+0.0184022
+0.0162451
+0.0140983
+0.0119676
+0.00986306
+0.0078061
+0.00578099
+0.00364594
+0.00155886
+-0.000395374
+-0.00156746
+-0.000866898
+0.00089784
+0.00288679
+0.00496424
+0.0070234
+0.00913976
+0.0329517
+0.0322121
+0.0316073
+0.0311452
+0.0308321
+0.0306728
+0.0306457
+0.0307684
+0.0310456
+0.0314732
+0.0320452
+0.032754
+0.0335909
+0.0345467
+0.0356118
+0.0367766
+0.0380321
+0.0393695
+0.0407195
+0.0418851
+0.0430927
+0.0443755
+0.0457059
+0.0470751
+0.0485015
+0.0482868
+0.0476149
+0.0470355
+0.0459855
+0.044546
+0.0431697
+0.0418629
+0.0406322
+0.0392766
+0.0378235
+0.0364443
+0.0351475
+0.0334894
+0.0317762
+0.0301251
+0.0285459
+0.0270382
+0.0256287
+0.0243351
+0.0231767
+0.0221748
+0.0213514
+0.0206401
+0.01877
+0.0169623
+0.015248
+0.0136646
+0.0119855
+0.010413
+0.00877767
+0.00720734
+0.00569405
+0.0041803
+0.00249221
+0.000526423
+-0.000562061
+0.00020117
+0.000115714
+0.000524978
+0.00120907
+0.00208443
+0.00241849
+0.0023649
+0.000677684
+-0.000962918
+-0.000766761
+0.000321512
+0.00161969
+0.00344108
+0.00531939
+0.00736219
+0.0094702
+0.0114715
+0.0135228
+0.015612
+0.0177257
+0.0198562
+0.0209996
+0.0188851
+0.0167901
+0.0147231
+0.012669
+0.0105586
+0.00848908
+0.00645435
+0.004466
+0.00262142
+0.00110858
+-0.000187671
+0.000306018
+0.00157901
+0.00337188
+0.00535265
+0.0074253
+0.00950579
+0.0344897
+0.0337837
+0.0332076
+0.032768
+0.0324707
+0.0323194
+0.0322937
+0.0324101
+0.0326734
+0.03308
+0.0336246
+0.0343008
+0.0351009
+0.0360166
+0.0370394
+0.0381607
+0.0393721
+0.0406655
+0.0420232
+0.0434065
+0.0447454
+0.0459822
+0.0472882
+0.0486226
+0.0500067
+0.0498358
+0.0484195
+0.0468521
+0.045335
+0.0438742
+0.0424762
+0.0411473
+0.0398946
+0.0384616
+0.0369764
+0.0355643
+0.0342343
+0.0329962
+0.0318607
+0.0308393
+0.0295095
+0.0280531
+0.0266973
+0.025458
+0.0243531
+0.0234016
+0.0226167
+0.021795
+0.0200208
+0.0183277
+0.0167015
+0.0150371
+0.0134045
+0.011766
+0.0102683
+0.00878813
+0.00692848
+0.00510401
+0.00346912
+0.00205563
+0.00147311
+0.00228468
+0.00229726
+0.00263605
+0.00319819
+0.00392344
+0.00449765
+0.00290297
+0.00120067
+-0.000319649
+0.000314607
+0.00140803
+0.00263864
+0.00433945
+0.0063327
+0.00827939
+0.0102125
+0.012221
+0.014283
+0.0163593
+0.0183874
+0.020449
+0.0216469
+0.0195823
+0.017483
+0.0154091
+0.0133725
+0.011333
+0.00935701
+0.00745849
+0.00564977
+0.0041032
+0.0025317
+0.00125159
+0.000964861
+0.00182488
+0.00338659
+0.00523084
+0.00724091
+0.00932326
+0.0360904
+0.0354164
+0.0348672
+0.0344488
+0.0341661
+0.0340223
+0.034003
+0.0341136
+0.0343638
+0.0347506
+0.0352695
+0.0359147
+0.0366796
+0.0375569
+0.0385388
+0.0396177
+0.0407858
+0.0420357
+0.0433505
+0.0447287
+0.0461381
+0.0475767
+0.0488959
+0.0502032
+0.0512041
+0.0495311
+0.0478999
+0.0463149
+0.0447796
+0.0433
+0.0418829
+0.0405346
+0.0392623
+0.0377438
+0.0362287
+0.0347858
+0.0334242
+0.0321544
+0.0309876
+0.0299358
+0.0290111
+0.0281977
+0.027532
+0.0267137
+0.0256629
+0.0247618
+0.0240041
+0.0230885
+0.0214127
+0.0197534
+0.0181046
+0.0164301
+0.0147996
+0.0132854
+0.0117048
+0.00981512
+0.00804893
+0.00646323
+0.00495608
+0.0039102
+0.00355327
+0.00409961
+0.00448477
+0.00479696
+0.00529075
+0.00593933
+0.00496521
+0.00321683
+0.00162707
+0.000533998
+0.00159164
+0.00241302
+0.00374293
+0.0052512
+0.00701546
+0.00895977
+0.0109455
+0.0129846
+0.0150468
+0.0171014
+0.019139
+0.0212072
+0.0223338
+0.0202827
+0.0182451
+0.0162236
+0.0142522
+0.012336
+0.0104598
+0.00872055
+0.00712294
+0.00536275
+0.00366831
+0.00216217
+0.00157263
+0.00229346
+0.00365612
+0.00541592
+0.00739974
+0.00944038
+0.0377387
+0.0370946
+0.0365707
+0.036172
+0.0359028
+0.0357661
+0.0357632
+0.03587
+0.0361081
+0.0364763
+0.036971
+0.037587
+0.0383185
+0.0391591
+0.0401019
+0.0411398
+0.0422659
+0.0434732
+0.0447458
+0.0460822
+0.0474821
+0.0489134
+0.0503687
+0.0518085
+0.0508075
+0.049121
+0.0474757
+0.0458761
+0.0443256
+0.0428304
+0.0413971
+0.0400324
+0.0387329
+0.0371291
+0.0355879
+0.0341179
+0.0327285
+0.0314306
+0.0302359
+0.029157
+0.0282073
+0.0273717
+0.0266853
+0.0261649
+0.0258204
+0.0256589
+0.0254973
+0.0245011
+0.0228178
+0.0211809
+0.0194784
+0.0178554
+0.0163245
+0.0146273
+0.012801
+0.0110777
+0.00949678
+0.00797137
+0.00673601
+0.0059644
+0.00570964
+0.00612203
+0.00667308
+0.00697622
+0.00738586
+0.00683051
+0.00506206
+0.00345737
+0.00216257
+0.00144732
+0.00240208
+0.00367279
+0.00489431
+0.0064266
+0.0081221
+0.00987668
+0.0117634
+0.013707
+0.0157037
+0.0177376
+0.0197896
+0.0218685
+0.0231266
+0.0211179
+0.0191492
+0.0172216
+0.0153183
+0.0134929
+0.0117925
+0.0100283
+0.00809696
+0.00629779
+0.00450102
+0.00300009
+0.0023751
+0.00301777
+0.00409895
+0.005741
+0.00762251
+0.00963557
+0.0394398
+0.038824
+0.0383237
+0.0379434
+0.0376869
+0.0375566
+0.0375539
+0.0376719
+0.0378987
+0.0382497
+0.0387217
+0.0393103
+0.0400104
+0.0408161
+0.0417214
+0.04272
+0.0438055
+0.0449715
+0.0462029
+0.0474983
+0.0488577
+0.0502757
+0.0517255
+0.0522367
+0.0505029
+0.0488059
+0.0471497
+0.0455385
+0.0439762
+0.0424686
+0.0410227
+0.0396452
+0.0382598
+0.0366353
+0.0350724
+0.0335798
+0.0321673
+0.0308457
+0.0296274
+0.0285255
+0.0275541
+0.0266981
+0.0259939
+0.0254593
+0.0251051
+0.0249391
+0.0249612
+0.0248139
+0.0242093
+0.0225404
+0.0209236
+0.019376
+0.01761
+0.015827
+0.0141346
+0.0125511
+0.0110326
+0.00969288
+0.00868344
+0.00802616
+0.00785041
+0.0081421
+0.00886158
+0.00890202
+0.00799507
+0.00683308
+0.00520118
+0.00374444
+0.00264541
+0.00219327
+0.00302984
+0.00453744
+0.0057281
+0.00733762
+0.00918679
+0.0109775
+0.0127873
+0.01468
+0.0165879
+0.0185332
+0.020528
+0.022553
+0.0240265
+0.0221126
+0.0201953
+0.0183319
+0.0165489
+0.0147736
+0.0127893
+0.010813
+0.00885339
+0.00699297
+0.0052989
+0.00398601
+0.00345399
+0.00383268
+0.00491373
+0.0063737
+0.00810946
+0.010025
+0.0411872
+0.0405979
+0.0401197
+0.0397567
+0.0395119
+0.0393877
+0.0393851
+0.0395011
+0.0397174
+0.0400526
+0.0405036
+0.0410666
+0.0417372
+0.0425102
+0.0433802
+0.0443415
+0.0453882
+0.0465146
+0.047715
+0.0489715
+0.050291
+0.0516698
+0.0531031
+0.0520328
+0.050292
+0.0485877
+0.0469237
+0.0453045
+0.0437338
+0.0422176
+0.0407628
+0.0393762
+0.0379076
+0.0362673
+0.0346879
+0.033178
+0.0317476
+0.0304078
+0.0291712
+0.0280514
+0.0270629
+0.0261909
+0.0254727
+0.0249269
+0.024565
+0.0243953
+0.0244179
+0.0243056
+0.023688
+0.0232612
+0.0224403
+0.0206267
+0.0188744
+0.0172031
+0.0156226
+0.01411
+0.0127172
+0.0115601
+0.0106853
+0.0101421
+0.00999418
+0.0102326
+0.0097077
+0.00857554
+0.0076654
+0.00677044
+0.00540844
+0.00412328
+0.00302781
+0.00262677
+0.00344604
+0.00483126
+0.00631211
+0.00778958
+0.00950854
+0.0113487
+0.0132955
+0.0153084
+0.0173642
+0.0191941
+0.0204537
+0.0217577
+0.0231554
+0.0231959
+0.0213697
+0.0195698
+0.0175336
+0.0154806
+0.0134663
+0.0115165
+0.00966304
+0.00794276
+0.00647221
+0.00545379
+0.00502462
+0.00532184
+0.00618604
+0.00744142
+0.00900399
+0.0107615
+0.0429753
+0.0424108
+0.0419533
+0.0416063
+0.0413724
+0.0412538
+0.0412513
+0.0413639
+0.0415706
+0.0418909
+0.0423223
+0.0428615
+0.0435044
+0.0442466
+0.0450831
+0.0460088
+0.0470184
+0.0481066
+0.0492683
+0.0504967
+0.0517774
+0.0531176
+0.0536981
+0.0519207
+0.050176
+0.0484675
+0.0467993
+0.0451757
+0.0436003
+0.0420793
+0.0406195
+0.0392279
+0.0376797
+0.036029
+0.0344387
+0.0329173
+0.0314751
+0.0301232
+0.0288744
+0.0277426
+0.0267427
+0.0258599
+0.0251322
+0.0245789
+0.0242118
+0.0240396
+0.0240625
+0.0239873
+0.0233614
+0.0229284
+0.0226988
+0.0219361
+0.02028
+0.018703
+0.017192
+0.0157701
+0.0145281
+0.013506
+0.0127365
+0.0122843
+0.0121547
+0.0108896
+0.00962459
+0.00866938
+0.00780084
+0.00661257
+0.00465806
+0.00297317
+0.00157001
+0.00132595
+0.00250659
+0.00397142
+0.00580937
+0.00781147
+0.00976205
+0.0117596
+0.0138124
+0.0157409
+0.0171526
+0.0184564
+0.0196017
+0.0208835
+0.0222946
+0.0238046
+0.0222661
+0.0202157
+0.0181981
+0.0162254
+0.0143163
+0.0124998
+0.0107802
+0.0092445
+0.00800951
+0.00717993
+0.00686432
+0.00708715
+0.00779172
+0.0088431
+0.0102317
+0.0118078
+0.0447991
+0.0442579
+0.0438197
+0.0434875
+0.0432639
+0.0431505
+0.0431481
+0.0432566
+0.0434552
+0.0437617
+0.0441749
+0.0446917
+0.0453087
+0.0460217
+0.0468265
+0.0477184
+0.0486926
+0.0497442
+0.0508685
+0.0520607
+0.0533124
+0.0546149
+0.0536789
+0.0519008
+0.0501555
+0.0484463
+0.0467773
+0.0451529
+0.0435767
+0.0420548
+0.0405942
+0.0392016
+0.0375783
+0.035923
+0.0343277
+0.0328012
+0.0313536
+0.0299963
+0.028742
+0.0276048
+0.0265997
+0.025712
+0.02498
+0.0244232
+0.0240538
+0.0238804
+0.0239035
+0.0238667
+0.0232375
+0.0228022
+0.0225713
+0.0225114
+0.0217883
+0.0202755
+0.0188356
+0.0175411
+0.0164147
+0.0155154
+0.0148276
+0.0142508
+0.0126127
+0.0111658
+0.00995182
+0.00903128
+0.00811369
+0.00595558
+0.0038338
+0.00176688
+-3.77934e-05
+-0.000435131
+0.00118736
+0.00316278
+0.00527869
+0.00742757
+0.00948359
+0.0115318
+0.0136124
+0.0154495
+0.016607
+0.0176275
+0.0188233
+0.0201571
+0.0216149
+0.0231883
+0.0229998
+0.0210211
+0.0190888
+0.0172185
+0.0154211
+0.0137073
+0.0121478
+0.0108082
+0.00977283
+0.00910511
+0.00885861
+0.00896393
+0.00950699
+0.0104317
+0.0116654
+0.0130936
+0.0466545
+0.0461351
+0.0457149
+0.0453966
+0.0451824
+0.0450738
+0.0450715
+0.0451756
+0.0453673
+0.045661
+0.0460571
+0.046553
+0.0471456
+0.0478313
+0.0486062
+0.049466
+0.0504064
+0.051423
+0.0525113
+0.053667
+0.0548859
+0.0555507
+0.0537441
+0.0519671
+0.0502228
+0.0485147
+0.0468467
+0.0452234
+0.0436497
+0.0421312
+0.040674
+0.0392849
+0.0376045
+0.0359504
+0.0343564
+0.0328312
+0.031385
+0.0300291
+0.0287762
+0.0276404
+0.0266327
+0.025744
+0.025013
+0.024457
+0.024088
+0.0239149
+0.023918
+0.0239427
+0.0233197
+0.022886
+0.0226389
+0.0225792
+0.0227314
+0.0219066
+0.0205795
+0.0193821
+0.0183689
+0.0175501
+0.0164819
+0.0147665
+0.0131852
+0.0117914
+0.0106687
+0.00982486
+0.0077803
+0.00559058
+0.00340194
+0.00121843
+-0.000918318
+-0.0013901
+0.00076582
+0.00295628
+0.00514675
+0.0072433
+0.00935202
+0.0114914
+0.0136472
+0.0149028
+0.0160097
+0.0170417
+0.0182758
+0.0196469
+0.0211399
+0.0227462
+0.0239124
+0.0220159
+0.0201782
+0.0183924
+0.0166962
+0.0151276
+0.0137304
+0.0125607
+0.0116205
+0.0110193
+0.010754
+0.0108713
+0.0113466
+0.0121621
+0.0132389
+0.0145556
+0.0485378
+0.0480388
+0.0476354
+0.04733
+0.0471246
+0.0470205
+0.0470183
+0.0471181
+0.0473035
+0.0475853
+0.0479655
+0.0484419
+0.0490117
+0.0496716
+0.0504182
+0.0512476
+0.0521559
+0.053139
+0.0541929
+0.0553135
+0.0564969
+0.055688
+0.053886
+0.0521138
+0.0503746
+0.0486718
+0.0470095
+0.045392
+0.0438243
+0.042312
+0.0408613
+0.0394467
+0.0377467
+0.0360996
+0.034513
+0.0329931
+0.0315506
+0.0301983
+0.0289487
+0.0278158
+0.0268143
+0.0259319
+0.0252063
+0.0246546
+0.0242887
+0.0241171
+0.0241201
+0.024183
+0.0235932
+0.0231601
+0.022893
+0.0228339
+0.0229844
+0.0233405
+0.022385
+0.0212894
+0.0203712
+0.0189582
+0.0172019
+0.015553
+0.0140529
+0.0127542
+0.0116961
+0.0100302
+0.00784788
+0.00567208
+0.0035145
+0.00137405
+-0.000573119
+-0.000642636
+0.00114853
+0.00322147
+0.00536284
+0.00747592
+0.00954709
+0.011662
+0.013648
+0.0146662
+0.0156716
+0.0167244
+0.0179804
+0.0193725
+0.0208851
+0.0225096
+0.0241972
+0.0231556
+0.0213988
+0.0197094
+0.0181169
+0.0166607
+0.0153797
+0.0142887
+0.0134537
+0.0129229
+0.0126955
+0.0127972
+0.0132213
+0.0139305
+0.0149289
+0.016108
+0.050446
+0.0499661
+0.0495783
+0.049285
+0.0490878
+0.0489878
+0.0489857
+0.0490815
+0.0492611
+0.0495317
+0.0498971
+0.0503553
+0.0509036
+0.0515394
+0.0522592
+0.0530599
+0.0539377
+0.0548889
+0.0559098
+0.0569967
+0.0577328
+0.0559109
+0.0541163
+0.0523519
+0.0506209
+0.0489267
+0.0472733
+0.0456651
+0.0441072
+0.0426049
+0.0411645
+0.0396907
+0.0380016
+0.0363661
+0.0347916
+0.0332844
+0.0318551
+0.0305163
+0.0292803
+0.0281607
+0.027172
+0.0263015
+0.0255864
+0.0250431
+0.024683
+0.0245141
+0.0245171
+0.0246045
+0.0239988
+0.0235776
+0.0233507
+0.0232927
+0.0234403
+0.0237895
+0.024254
+0.0232467
+0.0215744
+0.0198053
+0.0181284
+0.016572
+0.015173
+0.0139735
+0.0125392
+0.010403
+0.00829505
+0.00624439
+0.00427346
+0.00246198
+0.00128426
+0.00128995
+0.00239241
+0.00412709
+0.00604125
+0.00807099
+0.0101407
+0.0121609
+0.0137162
+0.0147546
+0.015636
+0.0166911
+0.0179494
+0.0193438
+0.0208586
+0.0224795
+0.0241582
+0.0243757
+0.0226879
+0.0210927
+0.0196128
+0.0182762
+0.0171025
+0.0161162
+0.0153806
+0.014904
+0.0147072
+0.014797
+0.0151794
+0.0158023
+0.0166904
+0.0177848
+0.0523763
+0.0519142
+0.0515411
+0.051259
+0.0510694
+0.0509734
+0.0509714
+0.0510634
+0.0512376
+0.0514978
+0.0518493
+0.0522904
+0.0528187
+0.0534316
+0.0541263
+0.0548997
+0.0557486
+0.0566694
+0.0576588
+0.0587133
+0.0580305
+0.0562183
+0.0544339
+0.0526801
+0.0509602
+0.0492777
+0.0476364
+0.046041
+0.0444962
+0.0430076
+0.0415811
+0.0400532
+0.03838
+0.0367613
+0.0352046
+0.0337159
+0.0323057
+0.0309863
+0.0297698
+0.0286694
+0.0276988
+0.0268454
+0.0261452
+0.0256138
+0.0252617
+0.0250967
+0.0250997
+0.0251851
+0.0245937
+0.0241828
+0.023966
+0.023944
+0.0240876
+0.0244276
+0.0249559
+0.0242932
+0.0225245
+0.0208362
+0.0192494
+0.0177913
+0.016496
+0.015222
+0.0131567
+0.0111395
+0.00916798
+0.00728683
+0.00555942
+0.00415049
+0.00344325
+0.00345654
+0.00410143
+0.00545533
+0.00716149
+0.00898045
+0.0109288
+0.0129309
+0.0140882
+0.0151037
+0.015905
+0.0169433
+0.018176
+0.019537
+0.0210386
+0.0226266
+0.0242952
+0.0256946
+0.0240993
+0.022604
+0.0212297
+0.0200001
+0.0189118
+0.0180248
+0.0173703
+0.0169367
+0.0167638
+0.0168443
+0.0171828
+0.0177473
+0.0185424
+0.0195518
+0.0543264
+0.053881
+0.0535216
+0.05325
+0.0530675
+0.0529751
+0.0529732
+0.0530618
+0.0532308
+0.0534813
+0.0538199
+0.0542449
+0.0547544
+0.0553459
+0.0560169
+0.0567645
+0.0575859
+0.0584778
+0.0594371
+0.060235
+0.058409
+0.0566089
+0.0548372
+0.0530967
+0.0513908
+0.0497228
+0.0480968
+0.0465171
+0.0449887
+0.0435169
+0.0421077
+0.040531
+0.0388784
+0.0372814
+0.0357472
+0.0342821
+0.0328962
+0.0316015
+0.0304096
+0.0293332
+0.0283853
+0.0275532
+0.0268715
+0.0263547
+0.0260127
+0.0258525
+0.0258553
+0.0259383
+0.0253644
+0.0249662
+0.0247562
+0.0247392
+0.0249113
+0.0252402
+0.0257519
+0.025331
+0.0236401
+0.0220374
+0.0205436
+0.0191841
+0.0179894
+0.0160364
+0.0140653
+0.0121643
+0.0103338
+0.00865727
+0.00719654
+0.00611833
+0.00562365
+0.00562525
+0.0060643
+0.00710459
+0.00854241
+0.0102056
+0.0119627
+0.0138386
+0.0147789
+0.0156548
+0.0164341
+0.0174375
+0.0186194
+0.0199502
+0.0214228
+0.0229826
+0.024627
+0.0263511
+0.0256206
+0.0242193
+0.022942
+0.0217894
+0.0207946
+0.0199913
+0.019403
+0.0190045
+0.0188506
+0.0189238
+0.0192257
+0.0197438
+0.0204615
+0.0213805
+0.0562941
+0.0558644
+0.0555179
+0.0552561
+0.0550803
+0.0549912
+0.0549894
+0.0550747
+0.055239
+0.0554804
+0.0558069
+0.0562169
+0.0567086
+0.05728
+0.0579285
+0.0586518
+0.0594471
+0.0603115
+0.0612421
+0.0606789
+0.0588666
+0.0570809
+0.0553243
+0.0535997
+0.0519103
+0.0502595
+0.0486515
+0.0470904
+0.0455812
+0.0441292
+0.0427402
+0.0411201
+0.0394922
+0.037921
+0.0364138
+0.0349766
+0.0336194
+0.0323536
+0.0311905
+0.030142
+0.0292058
+0.0283947
+0.0277333
+0.0272325
+0.0269014
+0.0267462
+0.026751
+0.0268495
+0.0262955
+0.0259117
+0.0257094
+0.025693
+0.0258628
+0.0262024
+0.0266957
+0.0265096
+0.0248988
+0.0233826
+0.0219804
+0.0207154
+0.0189632
+0.0170454
+0.0151844
+0.0134024
+0.0117552
+0.0102737
+0.00903303
+0.00819736
+0.00780978
+0.00780251
+0.00814333
+0.00897347
+0.0101623
+0.0116348
+0.0132668
+0.014992
+0.015714
+0.0164589
+0.0172019
+0.018163
+0.0193028
+0.0205895
+0.0220194
+0.0235378
+0.025146
+0.0268367
+0.0272332
+0.0259193
+0.0247204
+0.0236461
+0.0227327
+0.0220002
+0.0214597
+0.0210972
+0.0209586
+0.0210259
+0.0212979
+0.0217777
+0.0224304
+0.0232718
+0.0582778
+0.0578628
+0.0575284
+0.0572758
+0.0571061
+0.0570202
+0.0570185
+0.0571008
+0.0572606
+0.0574935
+0.0578086
+0.0582045
+0.0586796
+0.0592319
+0.0598594
+0.0605596
+0.0613301
+0.0621684
+0.0630193
+0.061198
+0.0594015
+0.0576324
+0.0558932
+0.0541867
+0.0525161
+0.050885
+0.0492974
+0.0477574
+0.04627
+0.0448403
+0.0434671
+0.0418158
+0.0402161
+0.0386743
+0.0371977
+0.035792
+0.0344668
+0.0332334
+0.0321021
+0.0310673
+0.0301473
+0.0293622
+0.028723
+0.0282398
+0.0279207
+0.0277711
+0.027776
+0.0279033
+0.0273707
+0.0270021
+0.0268081
+0.0267923
+0.0269552
+0.0272813
+0.0277554
+0.027811
+0.0262802
+0.0248484
+0.0235337
+0.0219343
+0.0200583
+0.0182276
+0.0164819
+0.0148532
+0.0133606
+0.0120397
+0.011
+0.0103118
+0.00999792
+0.00998566
+0.0102689
+0.0109389
+0.0119655
+0.0132389
+0.0147296
+0.0162133
+0.0168585
+0.0175019
+0.0182025
+0.0191134
+0.0202018
+0.0214345
+0.0228115
+0.0242788
+0.0258409
+0.0274889
+0.028922
+0.0276874
+0.0265529
+0.0255557
+0.024713
+0.0240409
+0.023538
+0.023208
+0.0230821
+0.0231444
+0.0233918
+0.0238381
+0.0244371
+0.0252116
+0.0602758
+0.0598747
+0.0595515
+0.0593075
+0.0591437
+0.0590608
+0.0590591
+0.0591386
+0.0592942
+0.0595192
+0.0598236
+0.0602062
+0.0606656
+0.0612
+0.0618075
+0.0624859
+0.063233
+0.0640463
+0.0635948
+0.0617904
+0.0600117
+0.0582611
+0.0565412
+0.0548549
+0.0532053
+0.051596
+0.0500309
+0.0485143
+0.0470508
+0.0456455
+0.0442326
+0.042611
+0.0410423
+0.0395327
+0.0380894
+0.0367201
+0.0354297
+0.0342309
+0.0331145
+0.0321038
+0.0312143
+0.0304567
+0.0298411
+0.0293763
+0.0290696
+0.028926
+0.0289309
+0.0290678
+0.0285534
+0.0282003
+0.0280145
+0.0279995
+0.0281554
+0.0284794
+0.0289423
+0.0292189
+0.0277658
+0.0264147
+0.0249363
+0.0230827
+0.0212865
+0.0195673
+0.0179512
+0.0164517
+0.0150834
+0.0139268
+0.0130385
+0.0124526
+0.012187
+0.0121715
+0.0124171
+0.0129767
+0.0138637
+0.0149922
+0.0163236
+0.0175966
+0.0181957
+0.018744
+0.0193999
+0.020257
+0.021289
+0.0224622
+0.0237797
+0.025189
+0.0266979
+0.0282961
+0.0299692
+0.0294986
+0.028436
+0.0275072
+0.0267261
+0.026106
+0.025635
+0.0253323
+0.0252171
+0.0252752
+0.025502
+0.0259126
+0.026473
+0.0271895
+0.0622868
+0.0618987
+0.0615861
+0.0613502
+0.0611919
+0.0611118
+0.0611101
+0.0611869
+0.0613386
+0.0615561
+0.0618505
+0.0622207
+0.0626653
+0.0631828
+0.0637714
+0.0644291
+0.0651539
+0.0659435
+0.0642398
+0.0624541
+0.0606949
+0.0589646
+0.0572658
+0.0556014
+0.0539747
+0.052389
+0.0508483
+0.0493568
+0.047919
+0.04654
+0.0450729
+0.0434827
+0.0419465
+0.0404707
+0.0390621
+0.0377281
+0.036477
+0.035315
+0.0342293
+0.0332525
+0.0323946
+0.0316652
+0.0310735
+0.0306274
+0.0303334
+0.0301958
+0.0302007
+0.0303312
+0.0298386
+0.0295009
+0.0293233
+0.0293089
+0.0294579
+0.0297678
+0.0302336
+0.0307068
+0.0292746
+0.0277287
+0.0261244
+0.0243543
+0.0226562
+0.0210493
+0.019545
+0.0181455
+0.0169147
+0.015892
+0.0151196
+0.0146046
+0.0143765
+0.0143588
+0.014578
+0.0150575
+0.0158283
+0.0168481
+0.0180431
+0.0191065
+0.0196865
+0.0201483
+0.0207586
+0.0215617
+0.0225373
+0.0236487
+0.0249033
+0.026251
+0.0277021
+0.0292454
+0.0308672
+0.0313579
+0.0303605
+0.0294924
+0.0287652
+0.0281899
+0.0277465
+0.0274671
+0.0273608
+0.0274154
+0.0276247
+0.0280042
+0.0285318
+0.0291979
+0.0643095
+0.0639337
+0.0636311
+0.0634028
+0.0632497
+0.0631721
+0.0631705
+0.0632448
+0.0633928
+0.0636033
+0.0638882
+0.0642467
+0.0646774
+0.0651789
+0.0657496
+0.0663878
+0.0670914
+0.0667432
+0.0649524
+0.0631868
+0.0614486
+0.0597401
+0.058064
+0.0564232
+0.0548208
+0.0532604
+0.0517457
+0.0502808
+0.0488702
+0.0475188
+0.0460023
+0.0444453
+0.0429436
+0.0415033
+0.0401309
+0.0388337
+0.0376194
+0.036494
+0.0354446
+0.0345022
+0.0336761
+0.0329751
+0.0324073
+0.0319799
+0.0316983
+0.0315667
+0.0315717
+0.0316958
+0.0312247
+0.0309021
+0.0307327
+0.030719
+0.0308611
+0.0311571
+0.0316024
+0.0317562
+0.0303996
+0.0289102
+0.027429
+0.0257473
+0.0241473
+0.0226397
+0.0212181
+0.0199363
+0.018823
+0.0179096
+0.0172212
+0.0167647
+0.0165664
+0.0165471
+0.0167466
+0.0171656
+0.0178456
+0.0187582
+0.0198557
+0.0207383
+0.0212817
+0.0216664
+0.0222223
+0.0229743
+0.0239041
+0.0249713
+0.0261446
+0.0274265
+0.0288182
+0.0303044
+0.0318721
+0.0332576
+0.0323189
+0.0315048
+0.0308251
+0.0302854
+0.0298694
+0.02961
+0.0295115
+0.0295631
+0.0297572
+0.0301099
+0.0306089
+0.0312307
+0.0663429
+0.0659787
+0.0656855
+0.0654644
+0.065316
+0.065241
+0.0652394
+0.0653113
+0.0654557
+0.0656597
+0.0659358
+0.0662831
+0.0667007
+0.0671871
+0.0677409
+0.0683605
+0.069044
+0.0675005
+0.0657303
+0.0639862
+0.0622703
+0.060585
+0.0589329
+0.057317
+0.0557403
+0.0542063
+0.0527188
+0.0512817
+0.0498994
+0.0485767
+0.0470154
+0.0454931
+0.0440272
+0.0426235
+0.0412884
+0.0400287
+0.0388517
+0.0377634
+0.0367503
+0.0358423
+0.0350478
+0.0343748
+0.0338306
+0.0334213
+0.033152
+0.0330262
+0.0330311
+0.0331491
+0.032699
+0.0323911
+0.0322295
+0.0322164
+0.032352
+0.0326344
+0.0330598
+0.0329079
+0.0316197
+0.0301906
+0.0288399
+0.0272454
+0.0257351
+0.0242971
+0.0229783
+0.0218003
+0.0207871
+0.0199637
+0.0193416
+0.0189318
+0.0187564
+0.0187359
+0.0189203
+0.0192922
+0.0198996
+0.020722
+0.0217349
+0.0224653
+0.0229101
+0.0232707
+0.0237979
+0.0245016
+0.0253755
+0.0263899
+0.0274864
+0.0287085
+0.0300409
+0.0314694
+0.0329817
+0.0345668
+0.0343054
+0.0335395
+0.0329019
+0.0323901
+0.0320014
+0.0317595
+0.0316676
+0.0317166
+0.0318977
+0.0322269
+0.0326996
+0.0332836
+0.068386
+0.0680327
+0.0677484
+0.0675341
+0.0673903
+0.0673175
+0.067316
+0.0673857
+0.0675263
+0.0677245
+0.0679922
+0.0683291
+0.0687343
+0.0692064
+0.0697442
+0.0703461
+0.0700929
+0.0683196
+0.0665712
+0.0648497
+0.0631573
+0.0614963
+0.0598694
+0.0582794
+0.0567295
+0.055223
+0.0537636
+0.052355
+0.0510012
+0.0496459
+0.0481071
+0.0466204
+0.0451911
+0.0438246
+0.0425272
+0.0413053
+0.0401658
+0.0391144
+0.0381373
+0.0372631
+0.0364996
+0.0358538
+0.0353324
+0.0349407
+0.0346832
+0.0345629
+0.0345678
+0.03468
+0.03425
+0.0339562
+0.033802
+0.0337895
+0.0339188
+0.0341883
+0.0345947
+0.0341518
+0.0329405
+0.0315712
+0.0302818
+0.0288311
+0.0273805
+0.0260336
+0.0248072
+0.0237202
+0.0227925
+0.0220442
+0.0214762
+0.0211038
+0.0209466
+0.020925
+0.0210919
+0.0214316
+0.0219801
+0.0227273
+0.0236544
+0.0242672
+0.0246258
+0.0249616
+0.0254646
+0.0261234
+0.0269448
+0.0278925
+0.0289321
+0.0300955
+0.031369
+0.0327397
+0.0341959
+0.0357271
+0.0363154
+0.0355928
+0.0349926
+0.0345054
+0.0341409
+0.0339142
+0.0338282
+0.0338749
+0.0340445
+0.0343532
+0.0347973
+0.0353531
+0.0704379
+0.070095
+0.0698191
+0.0696112
+0.0694717
+0.0694011
+0.0693996
+0.0694672
+0.0696038
+0.069797
+0.0700568
+0.0703839
+0.0707772
+0.0712358
+0.0717584
+0.0723435
+0.0709498
+0.0691985
+0.0674728
+0.0657749
+0.0641069
+0.0624712
+0.0608703
+0.0593072
+0.0577849
+0.0563061
+0.054875
+0.0534954
+0.0521712
+0.0507755
+0.049272
+0.0478215
+0.0464292
+0.0451003
+0.0438407
+0.0426564
+0.0415539
+0.0405349
+0.0395926
+0.0387515
+0.0380181
+0.0373988
+0.0368994
+0.0365248
+0.0362787
+0.036164
+0.0361715
+0.0362786
+0.0358678
+0.0355873
+0.0354403
+0.0354284
+0.0355517
+0.0358089
+0.0361971
+0.0354875
+0.0343335
+0.0330395
+0.0318093
+0.0304668
+0.0290979
+0.0278341
+0.0266907
+0.0256835
+0.0248293
+0.024141
+0.023621
+0.0232793
+0.0231369
+0.0231145
+0.0232657
+0.0235805
+0.0240801
+0.024764
+0.0256175
+0.0261162
+0.0264119
+0.0267253
+0.0272057
+0.0278233
+0.0285959
+0.0294814
+0.0304668
+0.0315738
+0.0327899
+0.0341035
+0.0355038
+0.0369809
+0.0383452
+0.0376616
+0.0370949
+0.0366297
+0.0362865
+0.0360733
+0.0359924
+0.0360371
+0.0361966
+0.0364871
+0.0369055
+0.0374363
+0.072498
+0.0721649
+0.071897
+0.071695
+0.0715596
+0.0714911
+0.0714896
+0.0715553
+0.0716879
+0.0718766
+0.0721289
+0.0724465
+0.0728288
+0.0732745
+0.0737826
+0.0736163
+0.0718632
+0.0701347
+0.0684327
+0.0667592
+0.0651164
+0.0635067
+0.0619324
+0.0603963
+0.0589016
+0.0574516
+0.0560498
+0.0546997
+0.0534055
+0.051971
+0.0505031
+0.049089
+0.0477337
+0.0464421
+0.0452199
+0.0440727
+0.0430066
+0.0420058
+0.0410973
+0.0402876
+0.0395827
+0.0389883
+0.0385095
+0.0381507
+0.0379152
+0.0378055
+0.0378147
+0.037931
+0.0375383
+0.0372704
+0.03713
+0.0371186
+0.0372364
+0.037482
+0.037853
+0.0369024
+0.0357888
+0.0345773
+0.0333957
+0.0321686
+0.0308752
+0.0296872
+0.0286179
+0.0276809
+0.0268902
+0.0262509
+0.0257736
+0.0254574
+0.0253272
+0.0253042
+0.0254424
+0.0257365
+0.0261949
+0.026825
+0.0276149
+0.0280077
+0.028255
+0.0285481
+0.0290009
+0.0295811
+0.0303089
+0.0311434
+0.0320779
+0.033131
+0.0342919
+0.0355501
+0.0368955
+0.038319
+0.0398122
+0.0397434
+0.0392053
+0.0387613
+0.0384371
+0.038236
+0.0381597
+0.0382026
+0.038353
+0.0386273
+0.0390228
+0.0395312
+0.0745656
+0.0742417
+0.0739813
+0.073785
+0.0736535
+0.0735869
+0.0735855
+0.0736493
+0.0737781
+0.0739625
+0.0742077
+0.0745165
+0.0748882
+0.0753217
+0.0758161
+0.0745614
+0.0728311
+0.0711261
+0.0694484
+0.0678
+0.0661826
+0.064599
+0.0630518
+0.0615436
+0.0600775
+0.0586566
+0.0572842
+0.055964
+0.0546996
+0.0532288
+0.0517965
+0.0504187
+0.0491001
+0.0478454
+0.04666
+0.045549
+0.0445039
+0.0435373
+0.0426615
+0.041882
+0.0412044
+0.0406337
+0.0401745
+0.0398307
+0.0396053
+0.0395002
+0.0395094
+0.0396235
+0.0392532
+0.0389971
+0.0388629
+0.0388521
+0.0389646
+0.0391994
+0.039529
+0.0383853
+0.037316
+0.0361716
+0.0350438
+0.0339265
+0.0327027
+0.0315835
+0.0305806
+0.0297056
+0.0289702
+0.0283731
+0.0279292
+0.0276375
+0.0275176
+0.0274941
+0.0276213
+0.0278978
+0.0283213
+0.028905
+0.0296202
+0.0299249
+0.0301446
+0.0304195
+0.0308449
+0.031391
+0.0320676
+0.0328582
+0.0337542
+0.0347566
+0.035865
+0.0370698
+0.0383619
+0.0397329
+0.0411749
+0.0418363
+0.0413203
+0.0408992
+0.0405921
+0.0404016
+0.0403294
+0.0403708
+0.0405131
+0.0407729
+0.0411478
+0.0416346
+0.0766399
+0.0763249
+0.0760716
+0.0758808
+0.0757528
+0.0756881
+0.0756867
+0.0757488
+0.075874
+0.0760543
+0.0762928
+0.0765932
+0.0769549
+0.0773768
+0.0772897
+0.0755583
+0.0738513
+0.0721702
+0.070517
+0.0688937
+0.0673026
+0.065746
+0.0642264
+0.0627465
+0.0613091
+0.0599174
+0.0585746
+0.0572841
+0.0559932
+0.0545455
+0.0531487
+0.0518069
+0.0505245
+0.0493061
+0.0481566
+0.0470734
+0.0460566
+0.0451233
+0.0442788
+0.0435283
+0.0428767
+0.0423286
+0.041888
+0.0415583
+0.0413423
+0.0412417
+0.0412508
+0.0413602
+0.0410134
+0.0407684
+0.0406401
+0.0406297
+0.0407373
+0.0409619
+0.0410179
+0.0399229
+0.0389054
+0.0378256
+0.0367486
+0.0357323
+0.0345724
+0.0335158
+0.0325724
+0.0317524
+0.0310642
+0.030505
+0.0300897
+0.0298191
+0.0297081
+0.029684
+0.0298019
+0.0300634
+0.0304568
+0.0310004
+0.0315997
+0.0318759
+0.0320726
+0.0323311
+0.0327316
+0.0332468
+0.0338725
+0.034622
+0.0354866
+0.0364414
+0.0375
+0.0386538
+0.0398947
+0.0412148
+0.0425871
+0.0439388
+0.0434427
+0.0430424
+0.0427507
+0.0425699
+0.0425014
+0.0425413
+0.0426764
+0.042923
+0.0432793
+0.0437426
+0.0787206
+0.0784139
+0.0781674
+0.0779817
+0.0778572
+0.0777942
+0.0777929
+0.0778533
+0.0779751
+0.0781516
+0.0783837
+0.0786761
+0.0790282
+0.0794392
+0.0783131
+0.0766044
+0.0749209
+0.0732642
+0.0716362
+0.0700389
+0.0684744
+0.066945
+0.0654533
+0.0640018
+0.0625932
+0.0612307
+0.0599173
+0.0586564
+0.0573302
+0.0559171
+0.0545554
+0.0532491
+0.0520023
+0.0508193
+0.0497032
+0.0486427
+0.0476594
+0.0467581
+0.0459437
+0.0452208
+0.0445939
+0.0440672
+0.0436441
+0.0433279
+0.0431207
+0.0430242
+0.0430334
+0.0431382
+0.0428134
+0.0425787
+0.0424559
+0.042446
+0.042549
+0.0427641
+0.0425675
+0.0415134
+0.0405368
+0.0395319
+0.0385026
+0.0375585
+0.0364779
+0.0354781
+0.0345883
+0.0338171
+0.0331679
+0.0326446
+0.0322543
+0.032002
+0.0318986
+0.0318741
+0.0319839
+0.0322324
+0.0325996
+0.033108
+0.0336055
+0.0338485
+0.03403
+0.0342746
+0.0346541
+0.0351317
+0.0357207
+0.0364321
+0.0372561
+0.0381669
+0.0391788
+0.0402846
+0.0414767
+0.0427478
+0.0440608
+0.04543
+0.0455716
+0.0451901
+0.0449124
+0.0447403
+0.0446751
+0.0447137
+0.0448423
+0.0450771
+0.0454165
+0.0458581
+0.0808071
+0.0805083
+0.0802683
+0.0800874
+0.0799662
+0.0799049
+0.0799036
+0.0799624
+0.0800811
+0.0802538
+0.0804799
+0.0807647
+0.0811077
+0.0810921
+0.0793828
+0.0776978
+0.0760385
+0.0744066
+0.0728042
+0.071233
+0.0696954
+0.0681934
+0.0667295
+0.0653064
+0.0639266
+0.0625931
+0.061309
+0.0600772
+0.0587184
+0.0573396
+0.0560125
+0.054741
+0.0535289
+0.0523805
+0.0512856
+0.0502585
+0.0493074
+0.0484368
+0.0476511
+0.0469545
+0.0463511
+0.0458445
+0.0454381
+0.0451344
+0.0449355
+0.044843
+0.0448521
+0.0449527
+0.0446483
+0.0444233
+0.0443056
+0.0442961
+0.0443948
+0.044601
+0.0441714
+0.0431565
+0.0422182
+0.0412839
+0.0402994
+0.0393966
+0.0384139
+0.0374657
+0.0366242
+0.0358968
+0.035282
+0.0347907
+0.0344221
+0.0341859
+0.034089
+0.0340642
+0.034167
+0.0344041
+0.0347484
+0.0352258
+0.035633
+0.0358443
+0.036002
+0.0362353
+0.0365957
+0.0370466
+0.0376056
+0.038282
+0.0390664
+0.0399358
+0.040904
+0.0419643
+0.0431099
+0.0443343
+0.0455921
+0.0469166
+0.047706
+0.0473418
+0.0470767
+0.0469126
+0.0468505
+0.0468879
+0.0470105
+0.0472345
+0.0475585
+0.0479805
+0.082899
+0.0826078
+0.0823738
+0.0821976
+0.0820795
+0.0820198
+0.0820185
+0.0820758
+0.0821914
+0.0823607
+0.082581
+0.0828586
+0.083193
+0.0821841
+0.080498
+0.0788368
+0.077202
+0.0755953
+0.0740186
+0.0724738
+0.070963
+0.0694884
+0.0680524
+0.0666575
+0.0653063
+0.0640016
+0.0627462
+0.0615433
+0.0601545
+0.0588093
+0.0575162
+0.0562786
+0.0551004
+0.0539769
+0.0529114
+0.0519165
+0.0509963
+0.0501551
+0.0493967
+0.0487251
+0.0481439
+0.0476563
+0.0472654
+0.0469736
+0.0467825
+0.0466936
+0.0467027
+0.0467993
+0.0465141
+0.0462981
+0.0461852
+0.0461761
+0.0462708
+0.0464687
+0.045824
+0.0448465
+0.0439445
+0.043076
+0.0421334
+0.0412692
+0.0403758
+0.0394748
+0.038677
+0.0379889
+0.0374051
+0.0369419
+0.0365927
+0.0363706
+0.0362796
+0.0362545
+0.036351
+0.0365781
+0.0369021
+0.037352
+0.0376788
+0.0378531
+0.0379975
+0.038221
+0.0385629
+0.0389905
+0.0395221
+0.0401662
+0.0409139
+0.0417447
+0.0426718
+0.0436893
+0.0447908
+0.0459629
+0.0471755
+0.0484567
+0.0498015
+0.0494969
+0.0492434
+0.0490866
+0.0490272
+0.0490635
+0.0491807
+0.0493949
+0.0497048
+0.0501087
+0.0849958
+0.0847118
+0.0844837
+0.0843119
+0.0841968
+0.0841385
+0.0841373
+0.0841931
+0.0843058
+0.0844718
+0.0846866
+0.0849573
+0.085006
+0.0833194
+0.0816568
+0.0800196
+0.0784094
+0.076828
+0.0752771
+0.0737587
+0.0722748
+0.0708275
+0.0694192
+0.0680523
+0.0667294
+0.065453
+0.064226
+0.0629959
+0.0616349
+0.0603228
+0.0590628
+0.0578583
+0.0567098
+0.0556103
+0.0545767
+0.0536127
+0.0527222
+0.0519089
+0.0511765
+0.0505286
+0.0499683
+0.0494988
+0.0491225
+0.0488418
+0.0486581
+0.0485726
+0.0485817
+0.0486745
+0.048407
+0.0481996
+0.0480911
+0.0480823
+0.0481733
+0.0483634
+0.04752
+0.0465781
+0.045701
+0.0449035
+0.0440001
+0.0431718
+0.0423602
+0.0415023
+0.0407442
+0.0400884
+0.0395354
+0.039097
+0.0387656
+0.0385559
+0.0384701
+0.0384447
+0.0385358
+0.0387507
+0.03906
+0.0394853
+0.0397401
+0.0398805
+0.0400135
+0.040228
+0.0405529
+0.0409594
+0.0414657
+0.0420801
+0.0427936
+0.0435886
+0.0444774
+0.0454544
+0.0465142
+0.0476348
+0.0488058
+0.0500454
+0.0513485
+0.051655
+0.0514122
+0.0512619
+0.0512051
+0.0512404
+0.0513526
+0.0515578
+0.0518548
+0.052242
+0.0873446
+0.0859416
+0.0845254
+0.0831016
+0.0817117
+0.0803549
+0.0790022
+0.0776144
+0.0762294
+0.074883
+0.0735771
+0.072314
+0.071096
+0.0698441
+0.0685849
+0.0673616
+0.0661674
+0.0649446
+0.0637462
+0.0625974
+0.0614849
+0.0604102
+0.0593265
+0.0582653
+0.0572682
+0.0563388
+0.055477
+0.0546672
+0.0538566
+0.0529407
+0.0521009
+0.0513144
+0.0505547
+0.0498797
+0.0492546
+0.0486825
+0.0482034
+0.04781
+0.0474658
+0.0470012
+0.0464184
+0.0459328
+0.0455341
+0.0451987
+0.0449532
+0.0447986
+0.0447508
+0.0448008
+0.0449431
+0.0451735
+0.0454884
+0.0458988
+0.0463959
+0.04699
+0.0476774
+0.0484084
+0.0492146
+0.0501037
+0.0510714
+0.0521132
+0.0521966
+0.0510235
+0.049919
+0.0488878
+0.0479346
+0.0470641
+0.046281
+0.0455843
+0.0449783
+0.0444721
+0.044069
+0.0437721
+0.0435833
+0.0435042
+0.0435353
+0.0436701
+0.043899
+0.0442354
+0.0446767
+0.0452107
+0.0458429
+0.0465697
+0.0473867
+0.0482794
+0.0491937
+0.0501555
+0.0511905
+0.0522969
+0.0534701
+0.0547059
+0.0560002
+0.0573443
+0.0587282
+0.060157
+0.0615999
+0.0630745
+0.0645644
+0.0660903
+0.0676527
+0.0692388
+0.08569
+0.0842595
+0.0828621
+0.0814388
+0.0800201
+0.0786368
+0.0772803
+0.0759361
+0.0745352
+0.0731575
+0.0718203
+0.0705257
+0.0692763
+0.068052
+0.066806
+0.0655517
+0.0643453
+0.063148
+0.0619236
+0.0607446
+0.0596134
+0.058511
+0.0574582
+0.0563618
+0.0553304
+0.0543679
+0.0534769
+0.0526542
+0.0518677
+0.0509686
+0.0500958
+0.0492995
+0.0485193
+0.0478156
+0.0471854
+0.0465901
+0.0460892
+0.0456879
+0.0453275
+0.0449875
+0.0443783
+0.0438701
+0.043461
+0.0431249
+0.0428699
+0.0427077
+0.0426576
+0.0427138
+0.0428631
+0.0431051
+0.0434389
+0.0438642
+0.0443841
+0.0450047
+0.0457164
+0.0464683
+0.0473076
+0.0482318
+0.0492363
+0.0503161
+0.0503983
+0.0491823
+0.0480355
+0.046963
+0.0459699
+0.0450614
+0.0442429
+0.0435174
+0.0428822
+0.0423509
+0.0419275
+0.0416153
+0.0414167
+0.0413334
+0.0413662
+0.041504
+0.0417448
+0.0420984
+0.0425619
+0.043122
+0.0437845
+0.0445449
+0.0453939
+0.0463021
+0.0472315
+0.0482298
+0.0493052
+0.0504529
+0.051668
+0.0529459
+0.0542794
+0.0556567
+0.05708
+0.0585172
+0.0599876
+0.0614764
+0.0630009
+0.0645637
+0.0661486
+0.067584
+0.0840505
+0.0826012
+0.0811753
+0.079784
+0.0783532
+0.0769399
+0.0755637
+0.0742078
+0.0728673
+0.0714575
+0.0700879
+0.0687607
+0.0674786
+0.0662441
+0.065011
+0.0637657
+0.0625248
+0.0613372
+0.0601255
+0.0589105
+0.057753
+0.0566329
+0.0555508
+0.0544799
+0.0534122
+0.0524144
+0.0514905
+0.0506401
+0.0498388
+0.0490151
+0.0481068
+0.0472811
+0.046498
+0.0457632
+0.0451229
+0.0445072
+0.0439825
+0.0435619
+0.0431945
+0.0429251
+0.0423532
+0.0418204
+0.0413966
+0.0410632
+0.0407977
+0.0406274
+0.0405747
+0.0406377
+0.0407946
+0.0410488
+0.041404
+0.0418454
+0.04239
+0.0430394
+0.0437689
+0.0445513
+0.0454261
+0.0463878
+0.0474314
+0.0485486
+0.0486322
+0.0473709
+0.0461791
+0.0450624
+0.0440265
+0.0430771
+0.0422201
+0.0414613
+0.0407961
+0.0402372
+0.0397913
+0.0394622
+0.0392527
+0.0391649
+0.0391994
+0.0393406
+0.0395946
+0.0399672
+0.0404551
+0.041044
+0.0417394
+0.0425364
+0.0434199
+0.0443272
+0.0452874
+0.0463275
+0.0474461
+0.0486377
+0.049897
+0.0512179
+0.0525883
+0.0540048
+0.0554362
+0.0569019
+0.0583894
+0.0599124
+0.0614757
+0.0630592
+0.0645022
+0.0659404
+0.0824219
+0.0809609
+0.079513
+0.0780922
+0.0767076
+0.0752686
+0.0738613
+0.0724928
+0.0711374
+0.0697849
+0.0683818
+0.0670208
+0.0657048
+0.0644363
+0.0632184
+0.0619757
+0.0607288
+0.0595053
+0.0583187
+0.0571016
+0.0559068
+0.0547692
+0.0536585
+0.0526058
+0.0515157
+0.0504804
+0.0495205
+0.0486385
+0.0478233
+0.0470358
+0.0461361
+0.0452761
+0.0444928
+0.0437243
+0.0430537
+0.0424351
+0.0418845
+0.0414426
+0.0410676
+0.0407842
+0.0403454
+0.0397858
+0.0393403
+0.0389944
+0.0387375
+0.0385593
+0.0385037
+0.0385727
+0.0387395
+0.0390071
+0.0393856
+0.0398447
+0.0404163
+0.0410968
+0.041843
+0.0426608
+0.0435735
+0.0445752
+0.0456599
+0.0468152
+0.0469019
+0.0455928
+0.0443533
+0.0431894
+0.0421074
+0.0411137
+0.0402149
+0.0394175
+0.0387215
+0.0381323
+0.0376615
+0.0373135
+0.0370919
+0.0369989
+0.0370355
+0.0371804
+0.037449
+0.0378428
+0.0383578
+0.0389784
+0.03971
+0.0405436
+0.0414435
+0.0423672
+0.0433667
+0.0444519
+0.0456164
+0.0468546
+0.0481605
+0.0495217
+0.0509315
+0.0523573
+0.0538177
+0.0553038
+0.056825
+0.0583888
+0.0599707
+0.0614221
+0.0628544
+0.0643295
+0.0808075
+0.0793293
+0.0778719
+0.0764256
+0.0750103
+0.0736245
+0.0721851
+0.0707843
+0.0694241
+0.0680696
+0.066704
+0.0653081
+0.0639568
+0.062653
+0.0613997
+0.0601844
+0.0589469
+0.0576985
+0.0564943
+0.0553046
+0.0540862
+0.052914
+0.0517897
+0.0506989
+0.0496434
+0.0485683
+0.0475697
+0.0466528
+0.0458165
+0.0450256
+0.0441862
+0.0432875
+0.0424788
+0.0417008
+0.0409971
+0.0403727
+0.0397965
+0.0393311
+0.0389477
+0.0386488
+0.038296
+0.0377686
+0.037299
+0.0369386
+0.0366911
+0.0365055
+0.0364468
+0.0365197
+0.0367002
+0.0369825
+0.0373829
+0.037865
+0.038466
+0.0391805
+0.0399444
+0.0408003
+0.0417537
+0.042798
+0.0439218
+0.0451216
+0.0452116
+0.043852
+0.0425619
+0.0413476
+0.040216
+0.0391744
+0.0382301
+0.0373904
+0.0366604
+0.0360375
+0.035539
+0.03517
+0.0349348
+0.0348361
+0.0348736
+0.035024
+0.035309
+0.0357264
+0.0362714
+0.0369271
+0.0376985
+0.0385702
+0.0394688
+0.0404265
+0.0414729
+0.0426063
+0.0438199
+0.0451074
+0.0464565
+0.047861
+0.0492807
+0.0507351
+0.0522196
+0.0537388
+0.0553031
+0.0568832
+0.058344
+0.0597697
+0.0612407
+0.0627536
+0.0791865
+0.0777172
+0.0762372
+0.0747837
+0.0733392
+0.0719299
+0.0705372
+0.069103
+0.0677089
+0.0663533
+0.0650046
+0.0636247
+0.0622369
+0.0608962
+0.059606
+0.0583694
+0.0571447
+0.0559191
+0.0546757
+0.0534932
+0.0522939
+0.0510806
+0.0499339
+0.0488151
+0.0477567
+0.0466806
+0.0456408
+0.0446843
+0.0438136
+0.0430077
+0.0422193
+0.0413192
+0.0404754
+0.039695
+0.0389551
+0.0383194
+0.0377201
+0.0372287
+0.0368362
+0.0365199
+0.036255
+0.0357612
+0.0352757
+0.0348992
+0.0346417
+0.0344686
+0.0344064
+0.0344836
+0.0346793
+0.034978
+0.0354011
+0.0359098
+0.036543
+0.0372876
+0.0380772
+0.0389741
+0.0399711
+0.0410582
+0.0422258
+0.0434725
+0.0435659
+0.0421533
+0.0408094
+0.0395414
+0.0383566
+0.037263
+0.036269
+0.0353828
+0.0346127
+0.0339549
+0.0334252
+0.0330327
+0.0327822
+0.032677
+0.0327128
+0.0328722
+0.0331757
+0.0336195
+0.0341982
+0.0348928
+0.0357065
+0.0365956
+0.0375117
+0.0385127
+0.0396096
+0.0407948
+0.0420608
+0.043396
+0.0447943
+0.0462071
+0.0476545
+0.0491371
+0.050654
+0.0522188
+0.053797
+0.055268
+0.0566865
+0.0581529
+0.0596637
+0.0612005
+0.0775935
+0.0760934
+0.0746275
+0.0731456
+0.0716961
+0.0702538
+0.068851
+0.0674509
+0.0660217
+0.0646349
+0.0632811
+0.0619418
+0.0605473
+0.0591684
+0.0578396
+0.0565645
+0.0553466
+0.0541116
+0.0528854
+0.0516619
+0.0504854
+0.0492764
+0.0480868
+0.0469579
+0.0458568
+0.0448205
+0.0437365
+0.0427373
+0.0418292
+0.0410075
+0.0402262
+0.0393745
+0.0384881
+0.0377012
+0.0369302
+0.0362663
+0.0356573
+0.0351371
+0.0347344
+0.0343989
+0.0342006
+0.0337092
+0.0332735
+0.0328792
+0.0326058
+0.0324517
+0.0323856
+0.0324676
+0.0326803
+0.0329971
+0.0334454
+0.0339834
+0.0346519
+0.0354158
+0.0362462
+0.0371873
+0.0382309
+0.0393608
+0.0405773
+0.0418731
+0.04197
+0.0405018
+0.0391012
+0.0377758
+0.0365338
+0.035384
+0.0343356
+0.0333981
+0.0325812
+0.0318867
+0.0313221
+0.0309029
+0.030635
+0.0305223
+0.0305553
+0.0307258
+0.0310503
+0.0315241
+0.0321405
+0.0328786
+0.0337346
+0.0346215
+0.035576
+0.0366299
+0.0377816
+0.0390223
+0.0403413
+0.0417269
+0.0431369
+0.0445764
+0.0460568
+0.047571
+0.0491325
+0.0507122
+0.0521919
+0.0536049
+0.0550663
+0.0565747
+0.0581127
+0.059673
+0.0760302
+0.0744987
+0.0730007
+0.0715371
+0.0700546
+0.0686067
+0.0671695
+0.0657739
+0.064365
+0.0629417
+0.0615635
+0.0602115
+0.0588804
+0.0574722
+0.0561032
+0.0547877
+0.0535295
+0.0523262
+0.0510863
+0.0498596
+0.0486587
+0.0474795
+0.0462696
+0.0451071
+0.0439839
+0.0429184
+0.0418602
+0.0408152
+0.0398632
+0.0390069
+0.0382132
+0.0374241
+0.036524
+0.0356992
+0.0349253
+0.0342225
+0.0336071
+0.0330584
+0.032644
+0.0322871
+0.0320758
+0.0316757
+0.0312632
+0.0308824
+0.0305913
+0.0304551
+0.0303884
+0.0304758
+0.0307075
+0.0310444
+0.0315206
+0.032091
+0.032798
+0.0335826
+0.0344572
+0.0354459
+0.0365339
+0.0377143
+0.0389821
+0.0403292
+0.0404299
+0.0389036
+0.0374433
+0.036057
+0.0347536
+0.0335428
+0.0324349
+0.0314409
+0.0305717
+0.029834
+0.0292298
+0.0287801
+0.0284923
+0.0283711
+0.0284028
+0.0285861
+0.0289347
+0.0294425
+0.0301016
+0.0308883
+0.0317632
+0.0326692
+0.0336716
+0.0347832
+0.035994
+0.0372936
+0.0386644
+0.040071
+0.0415012
+0.042979
+0.0444901
+0.0460479
+0.0476291
+0.0491145
+0.0505254
+0.051981
+0.0534867
+0.0550259
+0.0565865
+0.0581867
+0.0744801
+0.0729349
+0.0714042
+0.0699086
+0.0684436
+0.0669643
+0.0655182
+0.0640866
+0.0626989
+0.06128
+0.0598635
+0.0584948
+0.057145
+0.0558104
+0.0543997
+0.0530419
+0.0517413
+0.0505023
+0.0492887
+0.0480702
+0.0468433
+0.0456681
+0.044486
+0.0432757
+0.0421416
+0.0410282
+0.0399993
+0.0389214
+0.0379219
+0.0370245
+0.0362132
+0.0354321
+0.0345872
+0.0337173
+0.032944
+0.032198
+0.0315697
+0.0309951
+0.0305527
+0.0301865
+0.0299604
+0.0296583
+0.0292238
+0.0289099
+0.0286027
+0.0284571
+0.0284197
+0.0285131
+0.0287659
+0.0291252
+0.0296328
+0.0302388
+0.0309881
+0.0317947
+0.0327172
+0.0337546
+0.0348915
+0.0361256
+0.0374473
+0.0388476
+0.0389521
+0.0373655
+0.0358426
+0.0343919
+0.0330228
+0.0317461
+0.0305732
+0.0295164
+0.0285888
+0.0277986
+0.0271492
+0.0266644
+0.0263534
+0.0262224
+0.0262566
+0.0264549
+0.0268311
+0.0273779
+0.0280855
+0.0289143
+0.0297911
+0.0307407
+0.031804
+0.0329786
+0.0342533
+0.0356081
+0.0370105
+0.0384297
+0.0399043
+0.0414118
+0.0429653
+0.0445481
+0.0460398
+0.0474483
+0.0488973
+0.0504
+0.0519406
+0.0535014
+0.0551037
+0.0567157
+0.0729436
+0.0713849
+0.0698398
+0.06831
+0.0668169
+0.0653505
+0.0638747
+0.0624306
+0.0610052
+0.0596263
+0.0581964
+0.0567875
+0.0554294
+0.054082
+0.0527321
+0.0513302
+0.0499851
+0.0487014
+0.0474836
+0.0462592
+0.0450612
+0.0438383
+0.0426763
+0.0414791
+0.0402975
+0.0391694
+0.0380952
+0.0370603
+0.0360092
+0.0350637
+0.0342263
+0.0334486
+0.0326595
+0.0317604
+0.0309605
+0.0301968
+0.029544
+0.0289506
+0.0284764
+0.0280998
+0.0278567
+0.027635
+0.0272079
+0.0269055
+0.0266459
+0.0264895
+0.0264748
+0.0265803
+0.0268481
+0.0272327
+0.0277853
+0.0284348
+0.0292169
+0.0300602
+0.0310342
+0.0321195
+0.0333123
+0.0346027
+0.0359804
+0.0374357
+0.0375299
+0.0358953
+0.0343071
+0.0327886
+0.0313496
+0.0300017
+0.0287577
+0.0276317
+0.0266385
+0.0257886
+0.0250872
+0.0245618
+0.0242238
+0.0240812
+0.0241185
+0.0243341
+0.0247426
+0.0253346
+0.0260875
+0.0269547
+0.0278462
+0.0288498
+0.0299802
+0.0312235
+0.0325596
+0.0339568
+0.0353629
+0.0368336
+0.0383366
+0.039885
+0.0414697
+0.0429685
+0.0443741
+0.0458156
+0.0473147
+0.0488568
+0.0504178
+0.05202
+0.0536351
+0.0552899
+0.0714412
+0.069849
+0.06829
+0.066745
+0.0652161
+0.0637259
+0.0622579
+0.0607859
+0.0593441
+0.0579256
+0.0565565
+0.0551144
+0.053714
+0.0523656
+0.0510225
+0.0496562
+0.0482644
+0.0469337
+0.0456693
+0.0444741
+0.0432394
+0.0420431
+0.0408473
+0.0396836
+0.0384866
+0.0373388
+0.0362184
+0.0351862
+0.03413
+0.0331309
+0.0322477
+0.0314505
+0.030671
+0.0298361
+0.0289891
+0.0282237
+0.0275241
+0.0269239
+0.0264185
+0.0260301
+0.0257675
+0.0256323
+0.0252016
+0.0248946
+0.0247006
+0.0245597
+0.0245521
+0.024677
+0.0249735
+0.0253866
+0.0259784
+0.0266887
+0.0274957
+0.0283888
+0.0294126
+0.030554
+0.0318056
+0.0331547
+0.0345901
+0.0361015
+0.0361479
+0.0344737
+0.0328461
+0.0312567
+0.0297437
+0.0283195
+0.0269981
+0.0257953
+0.0247285
+0.0238105
+0.023049
+0.022476
+0.0221062
+0.0219498
+0.0219906
+0.0222269
+0.0226734
+0.023318
+0.0241176
+0.0249872
+0.0259292
+0.0270042
+0.0282086
+0.0295215
+0.030912
+0.032302
+0.0337676
+0.0352655
+0.0368077
+0.0383944
+0.0399013
+0.0413035
+0.0427363
+0.0442312
+0.045775
+0.0473362
+0.0489381
+0.0505568
+0.0522172
+0.0539155
+0.0699172
+0.0683488
+0.0667548
+0.0651954
+0.0636505
+0.0621227
+0.0606356
+0.0591659
+0.0576982
+0.0562589
+0.0548481
+0.0534787
+0.0520343
+0.0506435
+0.0492977
+0.0479649
+0.0465832
+0.045203
+0.0438888
+0.0426467
+0.0414489
+0.0402316
+0.0390375
+0.0378646
+0.0367083
+0.0355122
+0.0343788
+0.0332941
+0.03229
+0.0312321
+0.0302959
+0.0294798
+0.028712
+0.0279414
+0.027045
+0.0262806
+0.0255325
+0.024918
+0.0243815
+0.0239819
+0.0236967
+0.0235999
+0.0232036
+0.0229105
+0.0227592
+0.0226754
+0.0226775
+0.0228253
+0.0231497
+0.0235994
+0.024235
+0.0250007
+0.0258441
+0.0267907
+0.0278674
+0.0290695
+0.0303822
+0.0317919
+0.0332861
+0.034854
+0.0348488
+0.033109
+0.0314256
+0.0298071
+0.0282165
+0.026711
+0.0253058
+0.0240184
+0.0228689
+0.021873
+0.0210414
+0.0204122
+0.0200042
+0.0198313
+0.0198765
+0.0201376
+0.0206294
+0.0213301
+0.0221856
+0.0230551
+0.0240591
+0.0252139
+0.0264973
+0.0278789
+0.029249
+0.0307075
+0.0321995
+0.0337343
+0.0353215
+0.0368393
+0.0382287
+0.0396599
+0.04115
+0.0426955
+0.0442568
+0.0458584
+0.047481
+0.0491477
+0.0508541
+0.0525965
+0.0683461
+0.0668219
+0.0652569
+0.0636609
+0.0621011
+0.0605564
+0.0590298
+0.0575462
+0.0560745
+0.0546117
+0.0531751
+0.0517731
+0.0503938
+0.0489565
+0.0475766
+0.046234
+0.0449122
+0.0435138
+0.042147
+0.0408519
+0.0396349
+0.0384258
+0.0372385
+0.0360432
+0.0349008
+0.0337289
+0.0325608
+0.031436
+0.0304004
+0.029374
+0.0283766
+0.0275136
+0.0267321
+0.0259612
+0.0251415
+0.024321
+0.0235761
+0.0229441
+0.0223734
+0.0219613
+0.0216494
+0.0215301
+0.0212434
+0.0209407
+0.0208193
+0.0207737
+0.0208582
+0.0210369
+0.0213903
+0.0218858
+0.0225696
+0.023383
+0.0242781
+0.025275
+0.0264135
+0.0276789
+0.0290545
+0.0305255
+0.0320788
+0.0337029
+0.0336424
+0.0318367
+0.0300822
+0.0283884
+0.0267667
+0.0251905
+0.0236953
+0.0223152
+0.021073
+0.0199878
+0.0190743
+0.0183777
+0.0179235
+0.0177303
+0.0177809
+0.0180723
+0.0186187
+0.0193719
+0.0202288
+0.0211577
+0.0222475
+0.0234915
+0.0248519
+0.0262065
+0.0276481
+0.0291358
+0.0306658
+0.0322424
+0.0337813
+0.0351575
+0.0365872
+0.0380714
+0.039619
+0.0411803
+0.0427813
+0.0444083
+0.046082
+0.0477975
+0.0495504
+0.0513233
+0.0668035
+0.0652498
+0.0637266
+0.0621657
+0.0605674
+0.0590072
+0.0574627
+0.0559375
+0.0544578
+0.0529839
+0.0515265
+0.0500932
+0.0487009
+0.0473108
+0.0458814
+0.0445141
+0.0431751
+0.0418641
+0.0404488
+0.0390976
+0.037825
+0.0366355
+0.0354157
+0.0342642
+0.0330613
+0.0319382
+0.0307625
+0.0296234
+0.0285262
+0.0275395
+0.0264994
+0.0255776
+0.0247735
+0.0240176
+0.0232886
+0.0224003
+0.0216647
+0.0209752
+0.0204024
+0.0199663
+0.0196322
+0.0194868
+0.0193067
+0.0190028
+0.0188917
+0.0189064
+0.0190723
+0.0193193
+0.0197069
+0.0202642
+0.0209888
+0.0218506
+0.0228092
+0.0238644
+0.0250671
+0.026397
+0.0278361
+0.0293682
+0.0309795
+0.0326584
+0.0325388
+0.0306682
+0.0288428
+0.0270715
+0.0253658
+0.0237399
+0.0221845
+0.0207039
+0.0193585
+0.0181713
+0.0171613
+0.0163837
+0.0158725
+0.015654
+0.0157112
+0.0160403
+0.0166535
+0.0174691
+0.0183207
+0.0193225
+0.02051
+0.0218403
+0.0231788
+0.0245964
+0.0260786
+0.0276039
+0.0291657
+0.0307229
+0.0320915
+0.0335191
+0.0349964
+0.0365453
+0.0381073
+0.0397075
+0.0413393
+0.0430209
+0.0447465
+0.0465113
+0.0482749
+0.0500443
+0.0652766
+0.0637083
+0.0621538
+0.0606316
+0.0590752
+0.0574745
+0.0559137
+0.0543695
+0.0528458
+0.0513705
+0.0498943
+0.048443
+0.0470134
+0.0456323
+0.0442298
+0.0428097
+0.0414568
+0.0401216
+0.0388001
+0.0373893
+0.0360565
+0.0348106
+0.0336367
+0.0324221
+0.0312672
+0.0301028
+0.0289809
+0.0278244
+0.0266957
+0.0256573
+0.0246739
+0.0236811
+0.0228287
+0.0220922
+0.0213363
+0.0205337
+0.0197499
+0.0190547
+0.0184701
+0.0179989
+0.0176461
+0.0174793
+0.0174276
+0.017115
+0.0170183
+0.0170998
+0.0173152
+0.0176965
+0.0181285
+0.0187368
+0.0195144
+0.0204385
+0.0214602
+0.0225785
+0.0238462
+0.0252405
+0.0267419
+0.0283332
+0.0300002
+0.0317309
+0.031549
+0.029616
+0.0277213
+0.0258734
+0.024083
+0.022364
+0.0207337
+0.0192076
+0.0177492
+0.0164462
+0.0153229
+0.0144466
+0.0138642
+0.0136135
+0.0136793
+0.0140561
+0.0147267
+0.0155575
+0.0164609
+0.0175689
+0.0188568
+0.0201641
+0.0215578
+0.0230233
+0.0245378
+0.0260855
+0.0276706
+0.0290324
+0.0304571
+0.0319258
+0.0334734
+0.0350387
+0.0366378
+0.0382751
+0.0399655
+0.0417025
+0.0434805
+0.0452333
+0.0470151
+0.048791
+0.0637277
+0.0621799
+0.0606134
+0.0590579
+0.0575368
+0.0559855
+0.0543821
+0.0528209
+0.0512769
+0.049755
+0.0482846
+0.0468058
+0.0453614
+0.0439361
+0.042568
+0.0411514
+0.039742
+0.038406
+0.0370703
+0.0357337
+0.0343367
+0.033026
+0.0318108
+0.0306259
+0.0294501
+0.0282907
+0.0271755
+0.0260475
+0.0249085
+0.0238113
+0.0228407
+0.0218398
+0.020919
+0.0201589
+0.0194098
+0.0187142
+0.0178751
+0.0171783
+0.016592
+0.016088
+0.0157089
+0.0155213
+0.0155228
+0.0152742
+0.0152101
+0.0153635
+0.0156497
+0.0161173
+0.0166744
+0.0173478
+0.0181849
+0.0191732
+0.0202588
+0.0214399
+0.022771
+0.0242274
+0.0257878
+0.0274345
+0.0291529
+0.0309311
+0.030661
+0.0286832
+0.0267326
+0.0248112
+0.0229381
+0.0211261
+0.0193921
+0.0177562
+0.0162516
+0.0148444
+0.0135894
+0.012593
+0.0119204
+0.0116279
+0.0117048
+0.012143
+0.0128829
+0.0137017
+0.0146925
+0.0159171
+0.0171739
+0.018539
+0.0199813
+0.0214741
+0.0230101
+0.0246144
+0.0259677
+0.0273915
+0.028861
+0.0304068
+0.0319757
+0.0335733
+0.0352169
+0.0369173
+0.0386671
+0.0404432
+0.0421999
+0.0439955
+0.0457515
+0.047518
+0.0622119
+0.0606311
+0.0590834
+0.0575188
+0.0559623
+0.0544425
+0.0528921
+0.0512904
+0.0497286
+0.048185
+0.0466651
+0.0452003
+0.0437186
+0.0422823
+0.040862
+0.0395089
+0.0380762
+0.0366795
+0.0353492
+0.0340221
+0.0326732
+0.031293
+0.0300093
+0.0288298
+0.0276345
+0.0265065
+0.0253434
+0.0242676
+0.023155
+0.0220248
+0.0209856
+0.0200255
+0.0190697
+0.0182434
+0.0175425
+0.0168308
+0.0160691
+0.0153624
+0.0147038
+0.0141933
+0.0138219
+0.0136343
+0.0136141
+0.0135379
+0.0134936
+0.0136441
+0.0140467
+0.0146305
+0.0153511
+0.0161042
+0.0170342
+0.0180856
+0.0192327
+0.0204731
+0.0218631
+0.0233761
+0.0249897
+0.0266858
+0.0284494
+0.030265
+0.0298998
+0.0278681
+0.0258624
+0.0238892
+0.0219526
+0.0200518
+0.0182158
+0.0164635
+0.0148282
+0.0133531
+0.0120062
+0.0108657
+0.0100784
+0.00973061
+0.00982121
+0.0103184
+0.0110472
+0.0119276
+0.0130508
+0.0142299
+0.0155514
+0.0169595
+0.0184176
+0.0199417
+0.0215507
+0.0229088
+0.024329
+0.0258002
+0.0273473
+0.0289203
+0.0305156
+0.0321662
+0.0338781
+0.0356424
+0.0374062
+0.0391766
+0.0409813
+0.0427204
+0.0444994
+0.0463137
+0.06072
+0.0591171
+0.0575347
+0.055987
+0.0544246
+0.052867
+0.0513485
+0.0497984
+0.0481996
+0.0466372
+0.0450939
+0.0435764
+0.0421181
+0.0406331
+0.0392042
+0.0377918
+0.0364564
+0.035005
+0.0336235
+0.032296
+0.0309837
+0.0296207
+0.0282611
+0.027011
+0.0258764
+0.0246675
+0.0235725
+0.0224227
+0.0213611
+0.0202758
+0.0191886
+0.0182388
+0.0172804
+0.0163852
+0.0157172
+0.0149623
+0.0143412
+0.0135809
+0.0129116
+0.012393
+0.0119754
+0.0118039
+0.0117881
+0.0118429
+0.0117687
+0.0120088
+0.0124737
+0.013238
+0.0141576
+0.015052
+0.01607
+0.0171894
+0.0184112
+0.0197034
+0.0211441
+0.022705
+0.0243631
+0.0260999
+0.0278854
+0.0297194
+0.0292832
+0.0272054
+0.0251469
+0.0231127
+0.0211098
+0.0191481
+0.0172382
+0.0153755
+0.0136101
+0.011986
+0.0105684
+0.00933361
+0.00840406
+0.00798364
+0.00808489
+0.00862866
+0.00928488
+0.0103136
+0.0113681
+0.0126172
+0.013967
+0.0153755
+0.0168843
+0.0184985
+0.0198621
+0.0212711
+0.0227361
+0.0242976
+0.025875
+0.027467
+0.0291256
+0.0308506
+0.0326316
+0.0343802
+0.036166
+0.0379486
+0.0396997
+0.0414926
+0.0433181
+0.0450948
+0.0592579
+0.0576269
+0.0560227
+0.0544385
+0.0528908
+0.0513308
+0.0497721
+0.0482551
+0.0467052
+0.0451097
+0.0435467
+0.0420039
+0.0404891
+0.0390373
+0.0375497
+0.036126
+0.0347266
+0.0333903
+0.031939
+0.0305759
+0.0292425
+0.0279585
+0.0265786
+0.0252453
+0.0240356
+0.0228905
+0.021736
+0.0206324
+0.0195516
+0.0185168
+0.0174698
+0.0164462
+0.0155268
+0.0146192
+0.013874
+0.0131934
+0.0126175
+0.0118702
+0.0112403
+0.010727
+0.0102597
+0.0100616
+0.0100974
+0.0101315
+0.0101765
+0.0104887
+0.0110741
+0.0119195
+0.013041
+0.0142382
+0.0153505
+0.0165011
+0.0178201
+0.0191546
+0.020631
+0.0222165
+0.0238975
+0.0256556
+0.0274666
+0.0293268
+0.0288202
+0.0267065
+0.0246062
+0.0225233
+0.0204627
+0.0184323
+0.016443
+0.0145119
+0.0126568
+0.0108914
+0.00930859
+0.00797369
+0.00700811
+0.00650509
+0.00656743
+0.00701487
+0.00774441
+0.00867038
+0.00978464
+0.0110082
+0.0123614
+0.0138449
+0.0154573
+0.0168342
+0.0182197
+0.0196827
+0.0212481
+0.0228439
+0.0244308
+0.0260984
+0.0278387
+0.0296172
+0.0313682
+0.0331713
+0.0349274
+0.0366919
+0.0385002
+0.0403119
+0.0420991
+0.0439166
+0.0578419
+0.0561698
+0.0545344
+0.0529287
+0.0513425
+0.0497949
+0.0482377
+0.0466775
+0.0451624
+0.0436128
+0.0420211
+0.0404573
+0.0389152
+0.0374036
+0.0359505
+0.034469
+0.0330515
+0.0316678
+0.0303193
+0.0288799
+0.0275397
+0.0261994
+0.0249512
+0.0235512
+0.0222522
+0.0210934
+0.0199385
+0.0188315
+0.017742
+0.0167615
+0.0157581
+0.0147451
+0.0138221
+0.012953
+0.0121382
+0.0115693
+0.0109065
+0.0102485
+0.00968708
+0.00922441
+0.00870394
+0.00851675
+0.00857433
+0.00849817
+0.00859925
+0.00901204
+0.00971527
+0.0107292
+0.0119613
+0.013438
+0.0148434
+0.016084
+0.0174347
+0.0188081
+0.0202994
+0.0219086
+0.0236116
+0.0253894
+0.0272181
+0.0290942
+0.0285185
+0.0263806
+0.0242521
+0.0221359
+0.0200356
+0.0179569
+0.0159083
+0.0139031
+0.0119631
+0.0101259
+0.00843436
+0.00693806
+0.00582507
+0.00524044
+0.00521818
+0.00561897
+0.00625944
+0.00712761
+0.00812859
+0.00939192
+0.0108384
+0.0124362
+0.0138341
+0.0151803
+0.0166459
+0.0182087
+0.0198188
+0.0214124
+0.0230902
+0.0248479
+0.0266071
+0.0283747
+0.0301671
+0.031921
+0.0337004
+0.0355259
+0.0373207
+0.0391194
+0.040952
+0.0428132
+0.0564683
+0.0547615
+0.0530828
+0.0514425
+0.0498352
+0.0482467
+0.0466993
+0.0451452
+0.0435835
+0.0420704
+0.0405212
+0.0389339
+0.0373694
+0.0358281
+0.0343203
+0.0328658
+0.0313916
+0.0299818
+0.0286174
+0.0272544
+0.02583
+0.0245099
+0.0231709
+0.021945
+0.0205448
+0.0192922
+0.018203
+0.0170384
+0.0159773
+0.0149228
+0.01401
+0.0130985
+0.0121676
+0.0113271
+0.0105684
+0.00993747
+0.0093397
+0.00880001
+0.00827428
+0.00790856
+0.0074203
+0.00721676
+0.00718686
+0.00694692
+0.00702445
+0.00746415
+0.00821201
+0.009305
+0.0106868
+0.0122504
+0.013958
+0.0157828
+0.01732
+0.0187018
+0.020201
+0.0218174
+0.023527
+0.0253108
+0.0271448
+0.0290256
+0.0283831
+0.0262342
+0.0240928
+0.0219612
+0.0198424
+0.0177411
+0.0156643
+0.0136232
+0.0116367
+0.00973814
+0.00796765
+0.00641104
+0.00526427
+0.00449586
+0.00432948
+0.00444458
+0.00477738
+0.00546423
+0.00650907
+0.00788847
+0.00946508
+0.0108875
+0.0121706
+0.0136361
+0.0151892
+0.0167928
+0.0184204
+0.0201092
+0.0218479
+0.0236194
+0.0254057
+0.0271837
+0.0289338
+0.0307301
+0.032561
+0.0343485
+0.0361596
+0.0380086
+0.0398711
+0.0417532
+0.0550753
+0.0533841
+0.0516833
+0.0499971
+0.0483515
+0.0467423
+0.0451513
+0.043604
+0.0420535
+0.0404901
+0.0389794
+0.0374306
+0.0358487
+0.0342834
+0.0327431
+0.03124
+0.0297839
+0.0283187
+0.0269187
+0.0255781
+0.0241981
+0.0227932
+0.0214666
+0.0201636
+0.0189371
+0.0175703
+0.0163789
+0.0153164
+0.0141943
+0.0131761
+0.0122103
+0.0113871
+0.0106146
+0.00980985
+0.00908838
+0.00847774
+0.00806183
+0.00753326
+0.00713379
+0.00673069
+0.00636761
+0.0060735
+0.00587953
+0.00552276
+0.00565857
+0.00608358
+0.00690796
+0.00805776
+0.00953003
+0.0112229
+0.0130289
+0.0149382
+0.0169158
+0.0188512
+0.0203394
+0.0219457
+0.0236459
+0.0254214
+0.027248
+0.0291221
+0.0281196
+0.0262703
+0.0241321
+0.0220043
+0.0198901
+0.0177944
+0.0157247
+0.0136926
+0.0117179
+0.009835
+0.00808574
+0.00655722
+0.00540418
+0.00451592
+0.00395582
+0.00331896
+0.00325491
+0.0038619
+0.00502083
+0.00659136
+0.00798858
+0.00921957
+0.0106656
+0.0121973
+0.0137989
+0.0154655
+0.0171578
+0.018869
+0.0206493
+0.0224321
+0.0242199
+0.0259727
+0.0277877
+0.0295972
+0.0313977
+0.033225
+0.0350886
+0.0369545
+0.0388544
+0.0407725
+0.0536758
+0.051995
+0.0503015
+0.0486075
+0.0469132
+0.0452614
+0.0436501
+0.0420563
+0.0405091
+0.0389629
+0.0373975
+0.0358897
+0.0343415
+0.0327659
+0.0311997
+0.0296608
+0.0281636
+0.0267058
+0.0252521
+0.0238616
+0.022543
+0.0211539
+0.0197754
+0.0184416
+0.0171885
+0.0159637
+0.0146472
+0.0135276
+0.0124873
+0.0114354
+0.0104852
+0.00965409
+0.0089306
+0.00834198
+0.00771304
+0.00708265
+0.00653848
+0.00609077
+0.0055103
+0.00511836
+0.00497647
+0.00493087
+0.00477817
+0.00431245
+0.0045202
+0.00489478
+0.00571893
+0.0070162
+0.00861755
+0.0104204
+0.0123494
+0.0143533
+0.0163951
+0.0184682
+0.0205656
+0.0222895
+0.0239654
+0.0257188
+0.0275256
+0.0293821
+0.0279605
+0.0264882
+0.0243691
+0.0222639
+0.020177
+0.0181145
+0.016086
+0.0141061
+0.0121985
+0.0103891
+0.0087155
+0.0072927
+0.0061572
+0.00482185
+0.0032978
+0.00221512
+0.00181484
+0.00243823
+0.00381598
+0.00522018
+0.00632704
+0.00777024
+0.00927129
+0.0108636
+0.0125282
+0.0142104
+0.0159351
+0.0177207
+0.019495
+0.0212795
+0.0230477
+0.0248832
+0.0266641
+0.028474
+0.030323
+0.032184
+0.0340673
+0.0359773
+0.0378907
+0.0398327
+0.0521692
+0.0505799
+0.0489169
+0.0472209
+0.0455348
+0.0438312
+0.0421725
+0.0405589
+0.0389618
+0.0374147
+0.0358735
+0.0343058
+0.0328015
+0.0312541
+0.0296863
+0.0281192
+0.0265821
+0.0250926
+0.0236329
+0.0221941
+0.0208124
+0.0195213
+0.0181279
+0.0167869
+0.0154456
+0.014266
+0.0130282
+0.0117901
+0.0107714
+0.00975698
+0.00884304
+0.00802805
+0.00741893
+0.00673676
+0.00598055
+0.00542943
+0.00499381
+0.00468459
+0.00401867
+0.00354518
+0.00374483
+0.00401415
+0.00356236
+0.00321303
+0.00355032
+0.00385797
+0.00482225
+0.00631061
+0.0079987
+0.00979361
+0.0117239
+0.0137325
+0.0157522
+0.0177772
+0.0198374
+0.021923
+0.0240264
+0.026118
+0.0279726
+0.0287607
+0.0275248
+0.0263972
+0.0247981
+0.0227327
+0.0206931
+0.0186876
+0.0167286
+0.0148146
+0.0129831
+0.0112771
+0.00973845
+0.00840292
+0.00642341
+0.00441238
+0.00254849
+0.00112097
+0.000389936
+0.00118054
+0.00244601
+0.00361897
+0.00495659
+0.0063967
+0.00803739
+0.00969145
+0.0113404
+0.0130556
+0.0148394
+0.016608
+0.0183909
+0.0201744
+0.0219985
+0.023766
+0.0255911
+0.0274445
+0.0293048
+0.0312079
+0.033113
+0.0350458
+0.036981
+0.0388335
+0.0507125
+0.049076
+0.0474843
+0.0458415
+0.0441426
+0.0424571
+0.0407516
+0.039085
+0.0374688
+0.0358679
+0.0343211
+0.0327845
+0.0312154
+0.0297154
+0.028169
+0.0266109
+0.0250431
+0.0235086
+0.0220291
+0.0205675
+0.0191489
+0.0177801
+0.0165046
+0.015131
+0.0138188
+0.0124995
+0.0114014
+0.0101752
+0.00904975
+0.00819323
+0.00725179
+0.00650581
+0.00583356
+0.00498623
+0.00437303
+0.00391818
+0.00362733
+0.00311625
+0.00262015
+0.00250982
+0.00259845
+0.00265398
+0.00233943
+0.00235617
+0.00260832
+0.0027879
+0.00374401
+0.00523974
+0.00705637
+0.00898453
+0.0109459
+0.0129752
+0.0150455
+0.0171402
+0.0192051
+0.0212952
+0.0233855
+0.025478
+0.0275858
+0.0281254
+0.0268603
+0.0257035
+0.0246874
+0.023398
+0.0214157
+0.0194661
+0.0175733
+0.0157579
+0.0138708
+0.0118186
+0.00982512
+0.00792406
+0.00587617
+0.00372535
+0.00160337
+-0.000444549
+-0.00126162
+-0.000201362
+0.0012902
+0.00245637
+0.00386445
+0.0054197
+0.00703629
+0.00858351
+0.0102877
+0.012032
+0.0138127
+0.0155817
+0.0173714
+0.0191539
+0.0209226
+0.0227459
+0.0245957
+0.0264747
+0.0283765
+0.0302947
+0.0322266
+0.0340575
+0.03591
+0.0377713
+0.0492735
+0.0476255
+0.0459836
+0.044389
+0.0427694
+0.0410604
+0.0393729
+0.0376751
+0.0359994
+0.0343801
+0.0327748
+0.0312283
+0.0296974
+0.0281268
+0.0266321
+0.0250872
+0.0235415
+0.0219731
+0.0204425
+0.0189764
+0.0175137
+0.0161203
+0.0147725
+0.0135009
+0.012179
+0.0108718
+0.00963638
+0.00862836
+0.00751869
+0.0065776
+0.00580743
+0.0050238
+0.00412501
+0.00344085
+0.00287383
+0.00251058
+0.00232902
+0.00138752
+0.00137159
+0.00139899
+0.000988064
+0.00138345
+0.000929825
+0.00152173
+0.00154492
+0.00164109
+0.00272665
+0.00432315
+0.0062031
+0.008226
+0.0102593
+0.0123087
+0.0143953
+0.016468
+0.0185646
+0.0206808
+0.022811
+0.0249508
+0.0270931
+0.0276496
+0.0263616
+0.025182
+0.0241439
+0.0232663
+0.0214369
+0.0193872
+0.017372
+0.0153337
+0.0132757
+0.0112521
+0.00920544
+0.0071549
+0.00519843
+0.0032667
+0.00131973
+-0.000744036
+-0.00242023
+-0.00108692
+0.000458429
+0.00170157
+0.00323834
+0.00475274
+0.00609765
+0.00774665
+0.009395
+0.0111361
+0.0128768
+0.0146664
+0.0163888
+0.0181457
+0.0199688
+0.0218147
+0.0236851
+0.0255941
+0.0275181
+0.0293157
+0.0311636
+0.0330109
+0.0348845
+0.0367678
+0.0478495
+0.0461837
+0.0445401
+0.0428919
+0.0412942
+0.0396878
+0.0379806
+0.0362912
+0.0346025
+0.0329161
+0.0312924
+0.0296827
+0.0281367
+0.0266129
+0.0250405
+0.0235526
+0.0220099
+0.0204808
+0.0189123
+0.0173873
+0.015925
+0.0144787
+0.0131023
+0.0117972
+0.010552
+0.00932215
+0.00801936
+0.00696154
+0.00603252
+0.00520626
+0.00429172
+0.00333048
+0.00256622
+0.00187868
+0.00148445
+0.00131908
+0.000639861
+0.000133366
+0.000296175
+-0.000245492
+-0.000309173
+-0.000137328
+-0.000203273
+0.000485748
+0.000455362
+0.000512139
+0.00180366
+0.00354155
+0.00545085
+0.0075099
+0.00956496
+0.0116681
+0.0137983
+0.0159364
+0.0180839
+0.0202406
+0.0224039
+0.0245721
+0.026742
+0.0273415
+0.0260383
+0.0248433
+0.0237904
+0.0228993
+0.0209733
+0.0188962
+0.0168222
+0.014782
+0.0127788
+0.0107896
+0.00876709
+0.00679943
+0.00482068
+0.00278645
+0.00079982
+-0.000895151
+-0.00182082
+-0.00157597
+-0.000191459
+0.00075487
+0.00223017
+0.00380094
+0.00537401
+0.00695273
+0.0085839
+0.0103344
+0.0119974
+0.0137079
+0.0154717
+0.017287
+0.0190872
+0.0209037
+0.0227485
+0.0246007
+0.0264473
+0.0282977
+0.0301458
+0.0320141
+0.0338987
+0.035811
+0.0464156
+0.0447648
+0.0430951
+0.0414566
+0.0398013
+0.0381999
+0.0366064
+0.0349041
+0.0332125
+0.0315348
+0.0298359
+0.028205
+0.0265921
+0.0250467
+0.0235315
+0.0219575
+0.0204788
+0.0189395
+0.0174333
+0.0158646
+0.0143381
+0.0128837
+0.0114621
+0.0101309
+0.00890256
+0.00770666
+0.00651917
+0.00537693
+0.00457774
+0.00363623
+0.00261507
+0.00171688
+0.00100035
+0.000564733
+0.00015956
+4.31247e-05
+-0.000963108
+-0.000769936
+-0.000662093
+-0.000173199
+-0.000283589
+-0.00159233
+-0.00112505
+-0.000921113
+-0.000851909
+-0.00079218
+0.000848044
+0.00276703
+0.00484267
+0.00696588
+0.00912071
+0.0112881
+0.013425
+0.0155724
+0.0177239
+0.0198839
+0.0220499
+0.0242204
+0.0263839
+0.027204
+0.0258781
+0.0246753
+0.023615
+0.0226338
+0.0206326
+0.0185477
+0.0164863
+0.0144629
+0.0124236
+0.010387
+0.00842799
+0.00656011
+0.00458355
+0.00283965
+0.00121366
+0.0004087
+-0.000679411
+-0.00109966
+-0.000944717
+-9.2432e-05
+0.0010471
+0.00250346
+0.0043468
+0.00596516
+0.00755737
+0.0091821
+0.0109439
+0.0126488
+0.0144057
+0.0161641
+0.0179809
+0.0198335
+0.0216606
+0.0235285
+0.0253986
+0.0272583
+0.0291497
+0.0310534
+0.0329387
+0.0348597
+0.0449984
+0.0433245
+0.0416822
+0.040008
+0.0383681
+0.0367119
+0.0351063
+0.033525
+0.0318318
+0.0301378
+0.0284598
+0.0267599
+0.0251203
+0.0235034
+0.021959
+0.0204518
+0.0188794
+0.0174136
+0.0158797
+0.0144058
+0.0128236
+0.0113116
+0.00987769
+0.00849693
+0.00726626
+0.00612367
+0.00496921
+0.00400161
+0.00299571
+0.00194964
+0.000958501
+0.000185005
+-0.000386596
+-0.000605879
+-6.88578e-06
+-0.000666582
+-0.00197286
+-0.000485672
+0.00100772
+0.00128678
+-0.000151192
+-0.00155711
+-7.55298e-05
+0.000326518
+-0.00124554
+-0.0018155
+0.000165712
+0.00226035
+0.00440699
+0.00656264
+0.00873546
+0.0109154
+0.0130679
+0.0152257
+0.0173918
+0.0195633
+0.0217387
+0.0238757
+0.0260086
+0.0269572
+0.0257626
+0.0246834
+0.0236233
+0.0222284
+0.020203
+0.0182159
+0.0162812
+0.0142797
+0.0122874
+0.0102942
+0.00837566
+0.00648533
+0.00466027
+0.00317361
+0.00209116
+0.00179358
+0.000659472
+0.000336606
+-0.000378858
+-0.000910053
+-4.47332e-05
+0.00155607
+0.00332181
+0.00495323
+0.00652646
+0.00816254
+0.0098434
+0.0115491
+0.0133046
+0.015099
+0.0169353
+0.0187631
+0.0206486
+0.0224761
+0.0243494
+0.0262506
+0.0281166
+0.0300263
+0.0319592
+0.0338801
+0.0436321
+0.0419173
+0.0402345
+0.0386021
+0.0369199
+0.0352755
+0.0336241
+0.0320136
+0.0304336
+0.028765
+0.0270582
+0.0253767
+0.0236895
+0.0220393
+0.0204175
+0.0188747
+0.0173787
+0.0158092
+0.0143625
+0.0128385
+0.0113967
+0.00981843
+0.00833788
+0.00693769
+0.00565245
+0.00454081
+0.00359193
+0.00254573
+0.0013618
+0.000254338
+-0.000572887
+-0.000676022
+0.000289838
+0.00097048
+0.000346636
+-0.00120628
+-0.000329459
+0.00108271
+0.00242066
+0.00182795
+6.56816e-05
+-0.000167866
+0.00131434
+0.0012752
+-0.000852485
+-0.00195331
+-8.07155e-05
+0.00199095
+0.00413312
+0.00630373
+0.00848334
+0.0106667
+0.0128123
+0.0149193
+0.0170467
+0.0191883
+0.02134
+0.0234988
+0.0256631
+0.0267557
+0.0255503
+0.024448
+0.0234961
+0.0220025
+0.0199892
+0.0179785
+0.0160151
+0.0140916
+0.0122048
+0.0103297
+0.00846862
+0.00672975
+0.00513409
+0.00391253
+0.00318556
+0.00320115
+0.00179459
+0.00140345
+0.000905461
+-0.000886929
+-0.000919981
+0.00045399
+0.00219908
+0.00400692
+0.00548248
+0.00708662
+0.00878377
+0.0105132
+0.0123225
+0.0140865
+0.0158766
+0.0177166
+0.0195948
+0.0214456
+0.0233263
+0.0252181
+0.0271144
+0.0290242
+0.030935
+0.0328453
+0.0423012
+0.0405555
+0.0388388
+0.0371458
+0.0355072
+0.0338318
+0.0321839
+0.0305384
+0.028922
+0.0273436
+0.0257057
+0.0239813
+0.0222976
+0.0206275
+0.0189639
+0.0173361
+0.0157958
+0.0143164
+0.0127524
+0.0113335
+0.00983268
+0.00841082
+0.00689599
+0.00545517
+0.00415572
+0.0031236
+0.00213951
+0.000957534
+-0.000244514
+-0.00130989
+-0.00011565
+0.00094481
+0.00184889
+0.00147949
+0.000237894
+-1.46428e-05
+0.00127023
+0.00268599
+0.00362058
+0.00200411
+0.000825853
+0.00117871
+0.00257136
+0.00181363
+-0.000132428
+-0.00118537
+0.000195289
+0.00201991
+0.00406496
+0.00611056
+0.00820296
+0.0103362
+0.012486
+0.0146364
+0.0167534
+0.0188708
+0.0209749
+0.023095
+0.0252272
+0.0267112
+0.0255
+0.024393
+0.0234388
+0.0216432
+0.0196969
+0.017792
+0.0159462
+0.0140511
+0.012171
+0.0104124
+0.0087387
+0.00711789
+0.00579895
+0.00475406
+0.00431155
+0.00402209
+0.00277189
+0.00248406
+0.00197611
+1.26653e-05
+-0.00180837
+-0.000763528
+0.00115578
+0.00306453
+0.00446736
+0.00606591
+0.00775782
+0.00949582
+0.0111869
+0.0129992
+0.0148332
+0.0167353
+0.0185556
+0.0204176
+0.0222879
+0.024182
+0.0260868
+0.0279937
+0.029907
+0.0318542
+0.0410025
+0.0392315
+0.0374825
+0.0357638
+0.0340588
+0.0324123
+0.0307456
+0.0290936
+0.0274555
+0.025832
+0.0242556
+0.0226297
+0.0209107
+0.0192246
+0.0175782
+0.0158965
+0.0142618
+0.0127261
+0.0112736
+0.00972183
+0.00832559
+0.0068498
+0.00548712
+0.00410441
+0.00284511
+0.00189526
+0.000669301
+-0.000598098
+-0.000917456
+0.000387616
+0.00157291
+0.00253649
+0.00270315
+0.00156076
+0.00100393
+0.0016882
+0.00282037
+0.00430144
+0.0037804
+0.00247398
+0.0019517
+0.0025218
+0.0038587
+0.00234988
+0.000583224
+-0.000232042
+0.00057271
+0.00216483
+0.00399776
+0.00600411
+0.00803275
+0.0101084
+0.0121933
+0.014273
+0.0163817
+0.0185052
+0.0206243
+0.0226926
+0.0247743
+0.0268249
+0.0256352
+0.0245342
+0.0231541
+0.0214024
+0.019478
+0.0175823
+0.01575
+0.0139829
+0.0122337
+0.0105411
+0.00901182
+0.0076699
+0.00657668
+0.00582972
+0.00555437
+0.00500495
+0.00394569
+0.00352183
+0.00299921
+0.00116739
+-0.000726338
+-0.00167004
+6.7806e-05
+0.00209734
+0.00345421
+0.00504342
+0.00675217
+0.00841757
+0.0102021
+0.0119977
+0.013829
+0.0156477
+0.0175014
+0.0193681
+0.0212617
+0.0231618
+0.0250611
+0.0270015
+0.0289385
+0.0308991
+0.0397164
+0.0379386
+0.0361667
+0.0344141
+0.0326861
+0.0309741
+0.029318
+0.0276621
+0.0260048
+0.0243764
+0.0227442
+0.0211707
+0.0195599
+0.0178496
+0.0161613
+0.0145204
+0.0128252
+0.0112006
+0.00967473
+0.00824485
+0.00670997
+0.00538883
+0.00401977
+0.0027604
+0.00173527
+0.000378278
+-0.000744333
+-0.000506317
+0.000766551
+0.00205901
+0.00318456
+0.00386771
+0.0028749
+0.00231775
+0.00238817
+0.00326345
+0.0044637
+0.00560134
+0.00428935
+0.00345265
+0.00327585
+0.00393168
+0.00500866
+0.00306513
+0.00143604
+0.000703144
+0.00119971
+0.00246917
+0.00410079
+0.00601602
+0.00792956
+0.00995579
+0.0119852
+0.0140069
+0.0160362
+0.0180936
+0.02013
+0.0221316
+0.0240137
+0.0259194
+0.0255533
+0.0239054
+0.0222085
+0.0205972
+0.0190889
+0.0174073
+0.0156552
+0.0139361
+0.0123146
+0.010799
+0.00934818
+0.00819487
+0.0073175
+0.00678305
+0.00673751
+0.0061078
+0.00509968
+0.0046173
+0.0041265
+0.00209917
+0.000150292
+-0.00158692
+-0.000857295
+0.00094988
+0.00250811
+0.00410239
+0.00580233
+0.00752162
+0.00922303
+0.010946
+0.0127624
+0.0146082
+0.0164785
+0.0183654
+0.0202405
+0.022169
+0.0240965
+0.0260511
+0.0280325
+0.0300097
+0.0384821
+0.0366712
+0.0348758
+0.033108
+0.0313503
+0.0296068
+0.0278923
+0.0262246
+0.0245823
+0.0229176
+0.0212939
+0.0196596
+0.0180899
+0.0165006
+0.0148038
+0.0131098
+0.011443
+0.00977084
+0.00816104
+0.00666512
+0.00526955
+0.00381424
+0.00267429
+0.00161703
+0.000298815
+-0.00102856
+-0.000363135
+0.00112878
+0.00246109
+0.00371089
+0.0046531
+0.00403891
+0.00331361
+0.00350209
+0.00388164
+0.00483319
+0.00606431
+0.00582781
+0.00484711
+0.00444704
+0.00459067
+0.00523271
+0.00565786
+0.0039016
+0.00242308
+0.00167654
+0.00199532
+0.00292257
+0.00439036
+0.0060787
+0.00785479
+0.00971313
+0.0116772
+0.0136603
+0.0155778
+0.0175294
+0.0193513
+0.0212229
+0.0231506
+0.0251215
+0.0244667
+0.0228707
+0.0213467
+0.0197717
+0.0181958
+0.0167579
+0.0154539
+0.0139355
+0.0124345
+0.0110762
+0.00988029
+0.00885739
+0.00820424
+0.00782969
+0.00788753
+0.00729035
+0.00642681
+0.00582555
+0.00502484
+0.00310118
+0.00128612
+-0.00056729
+-0.000972316
+-0.000168158
+0.00155382
+0.00303372
+0.00474621
+0.00650534
+0.00819744
+0.00993273
+0.011758
+0.0136061
+0.0154689
+0.0173732
+0.0192831
+0.0212264
+0.0231857
+0.0251581
+0.0271632
+0.0291785
+0.0373121
+0.0354496
+0.0336267
+0.0318198
+0.0300539
+0.0282799
+0.0265319
+0.0248145
+0.0231324
+0.0215077
+0.0198276
+0.0182059
+0.01658
+0.0150151
+0.0134591
+0.0117854
+0.0100598
+0.00838102
+0.00675645
+0.00514766
+0.00371905
+0.0024643
+0.00133246
+0.00033598
+-0.00122575
+-0.000210923
+0.00126706
+0.00270844
+0.00413205
+0.00538121
+0.00525109
+0.00451153
+0.00425648
+0.00449436
+0.00536968
+0.00632018
+0.00753204
+0.0063525
+0.00564971
+0.0054667
+0.00580362
+0.00670108
+0.00635378
+0.00466992
+0.00338938
+0.00274558
+0.00279043
+0.00339438
+0.00454422
+0.00605732
+0.00776616
+0.00947177
+0.0112876
+0.0131022
+0.0148336
+0.0166434
+0.0185296
+0.0204765
+0.0224683
+0.0244941
+0.0232773
+0.0217198
+0.0202217
+0.018774
+0.0173852
+0.0159906
+0.0146888
+0.0134989
+0.012393
+0.011348
+0.0103199
+0.00952079
+0.00894674
+0.00870111
+0.00888259
+0.00825871
+0.00740693
+0.00679428
+0.00614521
+0.00423307
+0.0022306
+0.000372133
+-0.000563189
+-0.000544583
+0.000552191
+0.00210085
+0.00374131
+0.00544847
+0.00727532
+0.00897256
+0.0108116
+0.0126565
+0.0145267
+0.0164454
+0.0183606
+0.0203291
+0.0223322
+0.024358
+0.026342
+0.0283354
+0.0361528
+0.0343157
+0.0324295
+0.0305836
+0.0287728
+0.0269854
+0.0252162
+0.0234631
+0.0217426
+0.0200421
+0.0184377
+0.0167398
+0.015122
+0.0135089
+0.0119506
+0.0104038
+0.00873094
+0.00703719
+0.00535479
+0.00385169
+0.00230922
+0.00113435
+0.000326946
+-0.00102771
+-0.000217503
+0.00133139
+0.00284354
+0.00428744
+0.00579018
+0.0069519
+0.00590264
+0.0053549
+0.00545278
+0.00586849
+0.00671665
+0.00786672
+0.00773511
+0.00696376
+0.00638729
+0.00645854
+0.00700999
+0.00782485
+0.00728927
+0.00562881
+0.00419927
+0.00344329
+0.00341223
+0.00382609
+0.00483011
+0.00597026
+0.00745326
+0.00897636
+0.0106406
+0.012312
+0.0140972
+0.0159836
+0.0178923
+0.0198054
+0.0216318
+0.0233923
+0.0219708
+0.0205325
+0.0190203
+0.0176216
+0.0162332
+0.0149829
+0.0139646
+0.0127794
+0.0117625
+0.0109179
+0.010407
+0.00977766
+0.00952934
+0.0096417
+0.00988511
+0.00930702
+0.00850634
+0.00791669
+0.00712129
+0.00520498
+0.00324373
+0.00146892
+0.000168495
+0.000125003
+-0.000458697
+0.00108701
+0.00264509
+0.00445606
+0.00640084
+0.00813623
+0.00987454
+0.0117164
+0.0135882
+0.0155434
+0.0175369
+0.0195655
+0.0215462
+0.0235453
+0.0255499
+0.0275476
+0.0349485
+0.0331247
+0.0312977
+0.0294257
+0.0275527
+0.0257299
+0.0239245
+0.0221621
+0.0204023
+0.0186635
+0.0169546
+0.0153416
+0.0136568
+0.0120361
+0.0104514
+0.00890373
+0.00736065
+0.00568101
+0.0040446
+0.00239251
+0.00108918
+0.000209653
+-0.000948385
+-0.000331771
+0.00123949
+0.00283671
+0.0043933
+0.0059056
+0.00735139
+0.00769594
+0.00704452
+0.00659011
+0.00664357
+0.00724806
+0.00819965
+0.0092688
+0.00817414
+0.00751768
+0.00720253
+0.00730372
+0.0079096
+0.00897143
+0.00755838
+0.00597934
+0.0046733
+0.00381034
+0.00346335
+0.00388267
+0.00489401
+0.00571833
+0.00701507
+0.00838308
+0.00997255
+0.0117569
+0.0134767
+0.0152704
+0.0169635
+0.0187532
+0.0205993
+0.0218568
+0.0203685
+0.0189641
+0.0177201
+0.0163819
+0.0150511
+0.0138619
+0.0127435
+0.0118456
+0.0112359
+0.0104464
+0.00994075
+0.00981851
+0.00977694
+0.00999181
+0.0105483
+0.0102966
+0.00948211
+0.0087613
+0.00809819
+0.00619086
+0.00437878
+0.00253912
+0.00099794
+0.000589986
+4.73176e-05
+0.000210168
+0.00170802
+0.00347887
+0.00534635
+0.00721045
+0.00895318
+0.0108514
+0.0128177
+0.0147653
+0.0167513
+0.0187669
+0.0207591
+0.0227684
+0.024796
+0.026837
+0.0337191
+0.031913
+0.0300916
+0.0282589
+0.0264354
+0.0245385
+0.0226851
+0.0208745
+0.0191018
+0.0173305
+0.0155853
+0.0138719
+0.0122465
+0.0105824
+0.00895334
+0.00739585
+0.00585861
+0.00437824
+0.00264664
+0.00113967
+-0.000100083
+-0.00101052
+-0.000612151
+0.000961597
+0.00255485
+0.00421395
+0.00580052
+0.00742038
+0.00882934
+0.0082942
+0.00821478
+0.00816995
+0.00822213
+0.00872606
+0.00965919
+0.010062
+0.00904049
+0.00840679
+0.0081943
+0.00837672
+0.00898339
+0.0093035
+0.00765552
+0.00629951
+0.00518979
+0.00442864
+0.00414518
+0.00398928
+0.00436979
+0.00513272
+0.00644357
+0.00789779
+0.00940289
+0.0109212
+0.0124454
+0.0141373
+0.0159215
+0.0177117
+0.0190744
+0.0204409
+0.0188512
+0.0173608
+0.0159925
+0.014823
+0.0137934
+0.0126539
+0.0116691
+0.0106775
+0.00999861
+0.00970356
+0.00970496
+0.00981466
+0.0100856
+0.0105735
+0.0110422
+0.0111928
+0.0103476
+0.0096269
+0.00916979
+0.00728028
+0.00535194
+0.00352467
+0.00208021
+0.0011808
+0.00102179
+-0.000675482
+0.000846745
+0.00257408
+0.00443826
+0.00636932
+0.00815139
+0.0100481
+0.0119975
+0.0139726
+0.0159481
+0.0179662
+0.020006
+0.0220328
+0.0240855
+0.026138
+0.0325114
+0.0306774
+0.0288838
+0.0270596
+0.0252321
+0.0234062
+0.0215445
+0.0196571
+0.0178345
+0.0160325
+0.0142702
+0.0125165
+0.0107979
+0.00915341
+0.00752763
+0.00588664
+0.00436539
+0.00284188
+0.00142246
+-9.22604e-05
+-0.00102977
+-0.000790725
+0.000658826
+0.00227495
+0.00388384
+0.00552581
+0.00721461
+0.00882164
+0.00954471
+0.00920658
+0.00921323
+0.00961609
+0.00996577
+0.0104054
+0.0112336
+0.0109997
+0.0101148
+0.00956711
+0.00941665
+0.00969232
+0.010282
+0.00987606
+0.00834197
+0.00711795
+0.00625185
+0.00530392
+0.00458149
+0.00441296
+0.00444645
+0.00508633
+0.00584705
+0.00711551
+0.00827377
+0.00974571
+0.0114264
+0.0131016
+0.0147655
+0.0160261
+0.0173999
+0.0189282
+0.0174589
+0.0158701
+0.0143915
+0.0130796
+0.0120252
+0.0112213
+0.0103431
+0.00959564
+0.00906324
+0.00876688
+0.00895317
+0.00945324
+0.0102306
+0.0110722
+0.0118568
+0.0118245
+0.0109746
+0.0103902
+0.00994658
+0.00819359
+0.00634068
+0.00460627
+0.00288708
+0.0017078
+0.00157401
+0.000271081
+4.34716e-05
+0.00174586
+0.00354928
+0.00551621
+0.00740401
+0.00922892
+0.0111859
+0.0131989
+0.0151862
+0.0172205
+0.0192752
+0.0212904
+0.0233011
+0.0253416
+0.0313512
+0.0295054
+0.0276483
+0.0258406
+0.0240206
+0.0222067
+0.020367
+0.0185612
+0.0166543
+0.0147868
+0.0129768
+0.0112268
+0.00946656
+0.00773203
+0.00606547
+0.00451691
+0.0028878
+0.00142887
+-2.95334e-05
+-0.0011204
+-0.000846931
+0.000739483
+0.00207226
+0.00362948
+0.00523778
+0.00690982
+0.00856043
+0.0102678
+0.0104797
+0.0102111
+0.0103581
+0.010789
+0.0115606
+0.0122457
+0.0129568
+0.0121302
+0.0113514
+0.0108636
+0.0107377
+0.0110132
+0.0116088
+0.0108681
+0.00949569
+0.0080577
+0.0069911
+0.00592616
+0.00511006
+0.00453218
+0.004277
+0.00435608
+0.00504007
+0.00591553
+0.00728229
+0.00874981
+0.010329
+0.0118591
+0.0130013
+0.0143303
+0.0158518
+0.0174696
+0.0162003
+0.0145255
+0.0129301
+0.0114904
+0.0102757
+0.00940492
+0.00883107
+0.00832459
+0.00803089
+0.00790884
+0.00831842
+0.00885349
+0.00978024
+0.011003
+0.0123453
+0.0126179
+0.0117031
+0.0109953
+0.010658
+0.00915895
+0.00717565
+0.00533322
+0.003731
+0.00254133
+0.0019614
+0.00114467
+-0.000720984
+0.000874486
+0.00276481
+0.0046095
+0.00658839
+0.00847229
+0.0104379
+0.012457
+0.0145055
+0.0164729
+0.0184854
+0.0205006
+0.022523
+0.0245626
+0.0302108
+0.0283385
+0.0265134
+0.0246363
+0.0228003
+0.0209956
+0.0191754
+0.0173401
+0.0155163
+0.0136708
+0.0117655
+0.00994451
+0.00815154
+0.00639523
+0.00466603
+0.00299859
+0.00161129
+2.65297e-05
+-0.0013145
+-0.00118741
+0.000366435
+0.00192693
+0.00354621
+0.00507781
+0.00665165
+0.00826834
+0.00995855
+0.0114775
+0.0112843
+0.0114338
+0.0115678
+0.0120499
+0.0128258
+0.0137865
+0.0140996
+0.0133023
+0.012713
+0.0123146
+0.0122207
+0.012484
+0.0130494
+0.0115414
+0.0100696
+0.00838138
+0.00694776
+0.00586448
+0.00535899
+0.0047152
+0.00408424
+0.00374205
+0.00396623
+0.00503179
+0.00627061
+0.00761587
+0.00888168
+0.0100215
+0.0112763
+0.0127859
+0.0144631
+0.0153122
+0.0150725
+0.0133501
+0.0116662
+0.0100851
+0.00872587
+0.00769568
+0.00708147
+0.00685141
+0.00658996
+0.00688028
+0.00767441
+0.008341
+0.00939355
+0.0107129
+0.0122478
+0.0134862
+0.0125637
+0.0119085
+0.0116017
+0.00994196
+0.00811203
+0.00631628
+0.00462253
+0.00334326
+0.0027428
+0.00133555
+-0.000817368
+0.00011099
+0.00197456
+0.00384776
+0.00582038
+0.00778543
+0.00968618
+0.0116889
+0.0136908
+0.0156751
+0.0176961
+0.0197459
+0.0217671
+0.0238121
+0.0290121
+0.0272309
+0.0253463
+0.0234949
+0.0216397
+0.019778
+0.0179798
+0.0161342
+0.0143291
+0.0124765
+0.0106825
+0.00877545
+0.00688943
+0.0050819
+0.00334576
+0.00164893
+4.85734e-05
+-0.00127204
+-0.00180511
+-0.000152658
+0.00162209
+0.00327651
+0.00490655
+0.00654273
+0.00813601
+0.00972148
+0.0113284
+0.0124418
+0.0122638
+0.0124323
+0.0129423
+0.0133967
+0.0141571
+0.0151353
+0.0147927
+0.0140998
+0.0136358
+0.0135104
+0.0136217
+0.0139954
+0.0136061
+0.0120482
+0.0103534
+0.00871918
+0.00734989
+0.00631571
+0.00574181
+0.00472408
+0.00364049
+0.00319591
+0.00334814
+0.00390221
+0.00492308
+0.00601781
+0.00707246
+0.00825533
+0.00974043
+0.0114422
+0.0132283
+0.0131657
+0.0128861
+0.01242
+0.0106395
+0.00895656
+0.0074427
+0.0062187
+0.00547447
+0.00520833
+0.00507233
+0.00543769
+0.00644545
+0.00786683
+0.00913204
+0.0104843
+0.0120765
+0.0137919
+0.0136601
+0.0130668
+0.0127708
+0.0108178
+0.00896682
+0.00723108
+0.00575827
+0.00466909
+0.00346292
+0.00131852
+-0.000823363
+-0.000685958
+0.00126424
+0.00306768
+0.00494372
+0.00690047
+0.00889982
+0.0108936
+0.0129219
+0.0149276
+0.0169489
+0.0190073
+0.0210759
+0.0231112
+0.0278758
+0.026017
+0.0242138
+0.0223805
+0.020498
+0.0186715
+0.0167805
+0.014946
+0.0131198
+0.011305
+0.00945444
+0.00763923
+0.00578988
+0.00388595
+0.0020381
+0.000310846
+-0.00118934
+-0.00229347
+-0.00072209
+0.00111589
+0.00283308
+0.00461569
+0.00630354
+0.00793997
+0.00959651
+0.0112161
+0.0128049
+0.0135386
+0.0134696
+0.0136642
+0.0141449
+0.0148614
+0.0156208
+0.0164529
+0.0155631
+0.0149439
+0.0145833
+0.01453
+0.014768
+0.0152931
+0.0142042
+0.0124522
+0.0108605
+0.00947317
+0.00825353
+0.00734766
+0.0058154
+0.00452557
+0.00354497
+0.00277249
+0.00261095
+0.00282759
+0.00349091
+0.00432389
+0.00529932
+0.00674305
+0.00847708
+0.0103059
+0.0116996
+0.0110354
+0.0107015
+0.0108091
+0.00962251
+0.00789756
+0.00644076
+0.0049832
+0.00383607
+0.00344583
+0.00340178
+0.00427677
+0.00535772
+0.00686769
+0.00839975
+0.00994733
+0.0117022
+0.0134921
+0.0149932
+0.0144354
+0.0136526
+0.0118061
+0.0100863
+0.0085574
+0.00722187
+0.00553177
+0.00345888
+0.00143409
+-0.000644459
+-0.00152895
+0.000376913
+0.0022173
+0.00411133
+0.00611967
+0.00809126
+0.0101253
+0.0121948
+0.0141995
+0.0162187
+0.0182774
+0.0203387
+0.0223692
+0.026856
+0.0249368
+0.0230493
+0.02122
+0.0194396
+0.017536
+0.0156747
+0.0138118
+0.0119453
+0.0101421
+0.00827129
+0.00646435
+0.00460988
+0.00279871
+0.000902014
+-0.000968013
+-0.0020789
+-0.00106986
+0.000586076
+0.00229635
+0.00412508
+0.00588071
+0.00765136
+0.00937356
+0.0110087
+0.0126718
+0.0143033
+0.014506
+0.0147366
+0.0150471
+0.0155099
+0.0162219
+0.0171211
+0.0172412
+0.0165296
+0.0159899
+0.0156734
+0.0156216
+0.0158184
+0.0163098
+0.0147997
+0.0131273
+0.0116209
+0.0102962
+0.00920322
+0.00774314
+0.0063173
+0.00482798
+0.0033935
+0.00269057
+0.0020966
+0.00139872
+0.00219236
+0.00252138
+0.00386678
+0.005633
+0.00737776
+0.00916103
+0.00972102
+0.00891481
+0.00852012
+0.00865487
+0.00864348
+0.00701054
+0.00527159
+0.00385205
+0.00241242
+0.00185586
+0.00214602
+0.00304006
+0.00442313
+0.00603911
+0.00745606
+0.00916573
+0.0110451
+0.0130221
+0.0150584
+0.0159361
+0.0147497
+0.0130403
+0.0114872
+0.00978303
+0.00769602
+0.00553315
+0.00340601
+0.00138916
+-0.000537664
+-0.00238587
+-0.000506185
+0.0013472
+0.00330209
+0.00535182
+0.00737343
+0.00932697
+0.0113673
+0.0134529
+0.0154602
+0.0175083
+0.0195873
+0.0216141
+0.0256463
+0.0238744
+0.0220263
+0.0201208
+0.018261
+0.0164607
+0.0146072
+0.0127105
+0.0108838
+0.00899227
+0.00715296
+0.00530559
+0.00348333
+0.00166744
+-0.000153728
+-0.00137592
+-0.00113233
+0.000299231
+0.00191027
+0.00366901
+0.00536993
+0.00714279
+0.00895241
+0.0106804
+0.0124575
+0.0140902
+0.0156663
+0.0156681
+0.0159011
+0.0164068
+0.0170107
+0.0176888
+0.0185596
+0.0179881
+0.0173979
+0.0170323
+0.0167791
+0.0167834
+0.0170026
+0.0173694
+0.0156811
+0.0140936
+0.0126853
+0.0114521
+0.00969405
+0.00801976
+0.00653054
+0.00484832
+0.00325213
+0.00232745
+0.00107028
+0.000186339
+0.000613737
+0.00137313
+0.00278837
+0.00439516
+0.00626865
+0.00787351
+0.00785587
+0.00683303
+0.00634509
+0.0065117
+0.00723475
+0.00590083
+0.00414658
+0.00252015
+0.00118414
+0.000381519
+0.000544341
+0.00187103
+0.00323475
+0.00503077
+0.00701831
+0.00880746
+0.0107464
+0.012767
+0.0148188
+0.0168997
+0.0160487
+0.0141888
+0.0121638
+0.00998632
+0.00781631
+0.00566225
+0.00355322
+0.0015471
+-0.000401082
+-0.00215006
+-0.00138019
+0.000523865
+0.00249636
+0.00449616
+0.00654697
+0.00857957
+0.0106002
+0.0126763
+0.0147366
+0.0167235
+0.0187414
+0.020794
+0.0245316
+0.0227142
+0.0209187
+0.0190982
+0.0172146
+0.0153386
+0.0135179
+0.0117204
+0.00980779
+0.00795961
+0.00615126
+0.00428885
+0.00246137
+0.000767574
+-0.000530318
+-0.00089252
+0.00020541
+0.00170811
+0.00333484
+0.00497829
+0.00675632
+0.00844524
+0.0102033
+0.0120125
+0.0137403
+0.0155334
+0.0167437
+0.0169341
+0.0172258
+0.0176937
+0.0184121
+0.0192256
+0.0196086
+0.0188308
+0.0182629
+0.0179403
+0.0178363
+0.017958
+0.0182639
+0.018362
+0.0167753
+0.0153003
+0.0138219
+0.0119881
+0.0102653
+0.00867292
+0.00696541
+0.00511486
+0.00335729
+0.00158854
+0.000573751
+-0.000973918
+-0.00130606
+-0.000245246
+0.0014752
+0.00332394
+0.00486771
+0.00618096
+0.00616999
+0.00484819
+0.00418642
+0.00439468
+0.00532883
+0.00453317
+0.00311171
+0.00138889
+-3.72788e-05
+-0.000715958
+-0.000909486
+0.000750127
+0.00280462
+0.00486303
+0.00691577
+0.0088783
+0.0108079
+0.0128217
+0.0148767
+0.0169542
+0.016758
+0.0146077
+0.0124611
+0.0103171
+0.00817768
+0.00604166
+0.00392223
+0.00184771
+-0.000161888
+-0.00206651
+-0.00224798
+-0.00026737
+0.00171908
+0.00373854
+0.00579829
+0.00792519
+0.00984413
+0.0118354
+0.013872
+0.0159092
+0.0179539
+0.020009
+0.0235184
+0.0216443
+0.0198156
+0.018011
+0.0161897
+0.0143502
+0.0124706
+0.0106482
+0.00886504
+0.00700269
+0.00517764
+0.00344867
+0.00187575
+0.000544448
+-0.000188673
+0.000235551
+0.00142476
+0.00311756
+0.00471884
+0.00639039
+0.00806929
+0.00979621
+0.0115212
+0.0132547
+0.01504
+0.0168129
+0.017881
+0.0181081
+0.0185453
+0.0191064
+0.0197985
+0.0206646
+0.0202461
+0.0196166
+0.0191776
+0.0189477
+0.0188983
+0.0190747
+0.0193804
+0.0195507
+0.0180628
+0.0163858
+0.0145513
+0.0127991
+0.0112022
+0.00947339
+0.00747409
+0.00557169
+0.00349071
+0.00135544
+-0.00027267
+-0.00138106
+-0.00245881
+-0.00121973
+0.000327925
+0.00187805
+0.00311958
+0.00486302
+0.00487115
+0.00310857
+0.00209283
+0.00238594
+0.00364201
+0.00354511
+0.00184771
+0.000308565
+-0.000821312
+-0.00233231
+-0.000971741
+0.000770451
+0.00278305
+0.00491825
+0.0070874
+0.0092667
+0.0112353
+0.0131838
+0.015198
+0.0172407
+0.0171417
+0.0149792
+0.0128168
+0.0106454
+0.00847835
+0.00632004
+0.00418146
+0.00205055
+-8.03794e-05
+-0.00207731
+-0.00303055
+-0.00102357
+0.000957536
+0.00295176
+0.00496377
+0.00696091
+0.00901182
+0.0110298
+0.0130968
+0.0151361
+0.0172127
+0.0193112
+0.0225696
+0.0206827
+0.0188196
+0.0169743
+0.0151788
+0.0133419
+0.0115093
+0.00968948
+0.00791571
+0.00616693
+0.00441217
+0.00279082
+0.00159204
+0.00077541
+0.000606557
+0.00137066
+0.00272527
+0.00430745
+0.00607338
+0.00777369
+0.00947221
+0.0111642
+0.0128488
+0.014603
+0.0163197
+0.0180909
+0.0190989
+0.0194411
+0.0198489
+0.0204842
+0.0212498
+0.0216492
+0.0208786
+0.0203085
+0.0198876
+0.0196885
+0.0196881
+0.0199278
+0.0203582
+0.0208942
+0.0191058
+0.0172579
+0.0154744
+0.013738
+0.0118349
+0.00980258
+0.00785582
+0.00603935
+0.00405635
+0.00216019
+0.000693907
+-0.00100681
+-0.00275471
+-0.00262361
+-0.00105792
+0.000172989
+0.00190269
+0.00340163
+0.00417657
+0.00205759
+0.000225079
+0.000570272
+0.00226259
+0.00244996
+0.000585408
+-0.000667799
+-0.00231753
+-0.00183882
+-0.000100844
+0.00163201
+0.00370073
+0.00566214
+0.00763338
+0.00969925
+0.0118052
+0.013833
+0.0157648
+0.0177569
+0.0173884
+0.0152192
+0.0130516
+0.0108862
+0.00872481
+0.00657141
+0.00443655
+0.00232131
+0.00020986
+-0.00186315
+-0.00366894
+-0.00188449
+0.000119208
+0.00208799
+0.00411738
+0.00618057
+0.0082133
+0.0102877
+0.0123882
+0.014462
+0.0165286
+0.0186089
+0.0217638
+0.0198405
+0.017934
+0.0160747
+0.0142346
+0.0124347
+0.010619
+0.00881175
+0.00706152
+0.00537347
+0.00383933
+0.00254503
+0.00154489
+0.00136314
+0.00173858
+0.00270959
+0.0041135
+0.00567736
+0.0072984
+0.00905491
+0.0108408
+0.0125442
+0.0142401
+0.0159189
+0.0176906
+0.0193946
+0.0202114
+0.0207191
+0.0212807
+0.0218744
+0.0226652
+0.0223598
+0.0216307
+0.0210862
+0.0207279
+0.0205852
+0.0205863
+0.0207839
+0.0211966
+0.0216424
+0.019933
+0.0181488
+0.0163074
+0.0143387
+0.0123328
+0.0103795
+0.00852949
+0.00669725
+0.00483349
+0.00307977
+0.00140798
+-0.000267907
+-0.00153495
+-0.00320306
+-0.0026484
+-0.00113477
+0.000316763
+0.00217233
+0.00360093
+0.00215843
+0.000222173
+-0.000380962
+0.00144393
+0.00180972
+-0.000103497
+-0.00197537
+-0.00314165
+-0.00120062
+0.000539659
+0.0025869
+0.0045414
+0.00654276
+0.00851933
+0.0104683
+0.0124767
+0.0145379
+0.0166032
+0.0185052
+0.0176673
+0.0155087
+0.0133605
+0.0112176
+0.00904776
+0.00689112
+0.00476521
+0.00267137
+0.000576046
+-0.00155284
+-0.00361038
+-0.00271518
+-0.000730222
+0.00128772
+0.0033651
+0.00546556
+0.00754562
+0.00960269
+0.0116848
+0.0137986
+0.0159291
+0.0179919
+0.0210891
+0.0191201
+0.0171861
+0.0153054
+0.0134522
+0.0116294
+0.00986199
+0.00812996
+0.00640186
+0.00478043
+0.00343754
+0.00254022
+0.00206891
+0.00227782
+0.00299918
+0.00410051
+0.00541596
+0.00705557
+0.00869692
+0.010339
+0.0120618
+0.0138628
+0.0155994
+0.0173106
+0.0189981
+0.0207407
+0.0212929
+0.0218557
+0.0225941
+0.0233834
+0.0239243
+0.023101
+0.022462
+0.0220232
+0.0217087
+0.0215725
+0.0215893
+0.0217787
+0.0215416
+0.0204332
+0.0194696
+0.0186296
+0.0169917
+0.0150207
+0.0131195
+0.0113029
+0.00939948
+0.00748194
+0.00572729
+0.00409222
+0.00245231
+0.00104292
+-0.00028513
+-0.00166083
+-0.00276502
+-0.0026957
+-0.00068512
+0.00129373
+0.00149698
+0.000799252
+-0.000900451
+-0.00124239
+-0.00022259
+-3.71346e-06
+-0.00118495
+-0.00294111
+-0.00144779
+-0.000395025
+0.00138122
+0.00345761
+0.00539302
+0.00737071
+0.00928038
+0.0112918
+0.013294
+0.0152695
+0.0172775
+0.0193233
+0.0180063
+0.0158567
+0.0137099
+0.0115651
+0.00942352
+0.00728854
+0.00517656
+0.00307368
+0.000959585
+-0.00116512
+-0.00321596
+-0.0035516
+-0.00147297
+0.000604983
+0.00268466
+0.00477053
+0.00691609
+0.00901393
+0.0110657
+0.013153
+0.0152692
+0.0174038
+0.0204679
+0.0185449
+0.016611
+0.0146906
+0.0128283
+0.0110494
+0.00929204
+0.007618
+0.00603361
+0.00457961
+0.00342337
+0.00284989
+0.00282506
+0.00328521
+0.0042543
+0.00554428
+0.00686983
+0.00831105
+0.00995566
+0.0117054
+0.013406
+0.0151055
+0.0168917
+0.0186681
+0.0203895
+0.0220827
+0.0225147
+0.0230537
+0.0237661
+0.0246456
+0.0244574
+0.0237321
+0.0231917
+0.0227693
+0.0225503
+0.0225431
+0.0227478
+0.0218446
+0.0205448
+0.0193659
+0.0183523
+0.0175056
+0.0167354
+0.0159763
+0.0141156
+0.0121755
+0.010336
+0.00862919
+0.00705098
+0.00543866
+0.00367739
+0.00232249
+0.00128179
+-0.000233147
+-0.00122464
+-0.00225843
+-0.00153608
+0.000286347
+-0.000363832
+-0.000895253
+-0.00189462
+-0.00259574
+-0.00220062
+-0.00216949
+-0.00268042
+-0.0019931
+-0.000125904
+0.00137206
+0.00265688
+0.00432604
+0.00625445
+0.0082747
+0.0102244
+0.0121598
+0.014101
+0.0161063
+0.0181349
+0.020113
+0.018415
+0.0162755
+0.0141394
+0.0120049
+0.00987339
+0.00775313
+0.0056651
+0.00357985
+0.00148472
+-0.000563579
+-0.00262858
+-0.00418678
+-0.0021194
+-3.69768e-05
+0.00204635
+0.00414308
+0.0062397
+0.00838365
+0.0104894
+0.0125917
+0.0147199
+0.016812
+0.0198909
+0.0179817
+0.016079
+0.0142049
+0.0124169
+0.0106322
+0.00891913
+0.0073321
+0.0059723
+0.00473379
+0.00389511
+0.00361375
+0.00376255
+0.00447724
+0.00556307
+0.00689009
+0.00830892
+0.00981028
+0.0112862
+0.012924
+0.0146705
+0.0164845
+0.0181649
+0.0199202
+0.0217391
+0.023289
+0.0238688
+0.0243867
+0.0250636
+0.0256661
+0.0248949
+0.0242388
+0.0237101
+0.0233513
+0.0231779
+0.0232107
+0.02254
+0.0210718
+0.0197211
+0.0184893
+0.0174187
+0.0165139
+0.0157701
+0.0151561
+0.0146129
+0.0132784
+0.0115807
+0.0100282
+0.00838554
+0.00667434
+0.00517789
+0.00414116
+0.00283463
+0.00146135
+0.000619734
+-0.000493272
+-0.00215048
+-0.00107396
+-0.0015314
+-0.00221097
+-0.00315153
+-0.00419347
+-0.00371316
+-0.00389084
+-0.00415408
+-0.00221885
+-0.00034106
+0.00166109
+0.00379701
+0.00570554
+0.00737888
+0.0092067
+0.0111499
+0.0131421
+0.015099
+0.0170108
+0.0189616
+0.0209598
+0.0188762
+0.0167487
+0.0146391
+0.0125368
+0.0104368
+0.00836175
+0.00630944
+0.00427041
+0.00220184
+0.000200725
+-0.00183843
+-0.00383206
+-0.00265803
+-0.000600017
+0.00147796
+0.00359838
+0.00572091
+0.00781758
+0.00989732
+0.011998
+0.0141231
+0.0162657
+0.0193988
+0.017485
+0.0155989
+0.0137909
+0.0120612
+0.0103387
+0.00877378
+0.00737804
+0.00610579
+0.00517787
+0.00451643
+0.00445314
+0.00499222
+0.00581931
+0.00690547
+0.00825666
+0.00976312
+0.0112177
+0.0127779
+0.0143034
+0.0159362
+0.0176704
+0.0194763
+0.0212258
+0.0229673
+0.0244666
+0.0250401
+0.0257874
+0.026479
+0.0261776
+0.025422
+0.0248372
+0.0244147
+0.0240677
+0.0238994
+0.0236063
+0.0220106
+0.0205048
+0.019103
+0.0178203
+0.0166725
+0.0157248
+0.0149473
+0.014352
+0.0138544
+0.0132633
+0.0124241
+0.0114109
+0.00973362
+0.00820823
+0.00696736
+0.00592179
+0.00447822
+0.00355179
+0.00194125
+7.31934e-05
+-0.00191407
+-0.00307182
+-0.00332617
+-0.00413315
+-0.00489758
+-0.00591951
+-0.00540141
+-0.00552048
+-0.00463386
+-0.00262765
+-0.000599792
+0.00126368
+0.00333608
+0.00547292
+0.00762986
+0.00970935
+0.0117591
+0.0138517
+0.0159213
+0.0179818
+0.0199773
+0.0215475
+0.0194418
+0.0173396
+0.0152598
+0.0131948
+0.0111481
+0.00910436
+0.00707202
+0.00507776
+0.00303946
+0.00106559
+-0.000862275
+-0.00268672
+-0.0031766
+-0.00109744
+0.000976199
+0.00302086
+0.00512611
+0.00727964
+0.00938428
+0.0114558
+0.0135525
+0.0156749
+0.019046
+0.017126
+0.0152589
+0.0134617
+0.0117572
+0.0101757
+0.00873009
+0.00748838
+0.00647472
+0.00580737
+0.00532851
+0.00551666
+0.00619963
+0.00710881
+0.0083291
+0.00964532
+0.0110723
+0.0126651
+0.0141818
+0.0157808
+0.0173405
+0.018976
+0.0206993
+0.0224753
+0.0242939
+0.0256018
+0.0262566
+0.0270032
+0.0275216
+0.0267603
+0.0260322
+0.0254604
+0.0250677
+0.0248467
+0.0247595
+0.0233082
+0.0216906
+0.0201421
+0.0186755
+0.0173621
+0.0161785
+0.0152124
+0.0143845
+0.0137695
+0.0133199
+0.0128518
+0.0121572
+0.0113112
+0.0106832
+0.00995077
+0.00878053
+0.00753278
+0.00625273
+0.00428927
+0.00236607
+0.000591867
+-0.00158904
+-0.00377164
+-0.00536066
+-0.00622264
+-0.00686948
+-0.00778518
+-0.00734042
+-0.00658406
+-0.00480285
+-0.00311744
+-0.00127411
+0.000740789
+0.0028527
+0.00492213
+0.00698428
+0.00908447
+0.0112157
+0.0133528
+0.0154452
+0.0174988
+0.0193984
+0.0205979
+0.0201057
+0.0180537
+0.0160034
+0.0139571
+0.0119495
+0.00995303
+0.0079338
+0.00597019
+0.00402612
+0.00216285
+0.000258568
+-0.00163522
+-0.00350806
+-0.00163579
+0.000453186
+0.00252265
+0.00460218
+0.0066999
+0.00883897
+0.0109692
+0.0130408
+0.015146
+0.0188199
+0.0169408
+0.0150964
+0.0133246
+0.011657
+0.010143
+0.00886227
+0.00789203
+0.00700044
+0.00645974
+0.00643058
+0.00666659
+0.00741813
+0.00847396
+0.00961687
+0.0109799
+0.0125171
+0.0139943
+0.0156084
+0.0171932
+0.0187979
+0.0203945
+0.0220321
+0.0237373
+0.0254981
+0.0268169
+0.0274626
+0.0282388
+0.0280109
+0.0272654
+0.0266301
+0.0261427
+0.0258324
+0.0256417
+0.024913
+0.0232019
+0.0215426
+0.0199515
+0.0184743
+0.0171299
+0.0159263
+0.0149487
+0.0141002
+0.0134664
+0.0130714
+0.0123807
+0.0115864
+0.0110335
+0.0102885
+0.00981869
+0.00937881
+0.00858199
+0.00642025
+0.00428802
+0.00224364
+0.000197246
+-0.00186277
+-0.00399578
+-0.00615058
+-0.00818377
+-0.00888941
+-0.00967421
+-0.00856969
+-0.00655195
+-0.0045877
+-0.00265349
+-0.00063485
+0.000561035
+0.002421
+0.00451703
+0.00666877
+0.00883964
+0.0110184
+0.0130112
+0.0150156
+0.0170571
+0.0183981
+0.0196397
+0.0208654
+0.0188318
+0.0168306
+0.0148304
+0.0128298
+0.0108634
+0.00891633
+0.00702441
+0.00512112
+0.00323119
+0.00135161
+-0.00048308
+-0.00229955
+-0.00220381
+-0.000115755
+0.00198743
+0.00406143
+0.00617917
+0.00831405
+0.0104373
+0.0125345
+0.0146335
+0.018723
+0.0168773
+0.0151132
+0.0134023
+0.0118187
+0.010373
+0.00917162
+0.00832919
+0.00783786
+0.00749662
+0.00753317
+0.00789679
+0.0086585
+0.00970915
+0.011013
+0.0123381
+0.0137673
+0.0153313
+0.0169575
+0.0186005
+0.0202235
+0.0218371
+0.0234601
+0.0250951
+0.0267876
+0.0280597
+0.0287254
+0.0294404
+0.0285645
+0.0278174
+0.0272091
+0.0267668
+0.0264989
+0.0263761
+0.0249733
+0.0232341
+0.0215772
+0.0199891
+0.0185148
+0.0171737
+0.0159735
+0.0149988
+0.0141263
+0.0134531
+0.0129018
+0.0119855
+0.0111628
+0.0104997
+0.00993711
+0.00942095
+0.0089532
+0.00834309
+0.00616299
+0.00399451
+0.00186505
+-0.000117881
+-0.00199399
+-0.00399841
+-0.00607858
+-0.00821557
+-0.010375
+-0.010555
+-0.00860452
+-0.00661372
+-0.004769
+-0.00280087
+-0.000669685
+0.001418
+0.00314435
+0.00498392
+0.00702782
+0.00892645
+0.0108181
+0.0127787
+0.0147996
+0.0163413
+0.0175019
+0.0187797
+0.0202147
+0.0197162
+0.0177261
+0.0157596
+0.0138114
+0.011905
+0.010006
+0.00810726
+0.00621802
+0.00435994
+0.00253582
+0.000717557
+-0.000822642
+-0.000518496
+-0.000660841
+0.00143034
+0.00353319
+0.00565244
+0.00780136
+0.00990391
+0.0120169
+0.0141149
+0.0187228
+0.0169975
+0.015275
+0.0136295
+0.0121493
+0.0108342
+0.0097577
+0.00897008
+0.00843848
+0.0082271
+0.00846892
+0.00901839
+0.00985564
+0.0109332
+0.0122099
+0.0136717
+0.015148
+0.0166524
+0.0182191
+0.0198834
+0.0215471
+0.0231763
+0.0248635
+0.0265332
+0.0281608
+0.0293258
+0.0299922
+0.0300637
+0.0292065
+0.0284762
+0.0278823
+0.0274509
+0.0271855
+0.0269853
+0.0251942
+0.0234707
+0.0218255
+0.0202447
+0.0187861
+0.0174801
+0.0163084
+0.0153285
+0.0144497
+0.0137922
+0.012828
+0.0119143
+0.0111155
+0.0104089
+0.00984452
+0.00949848
+0.00895934
+0.00845105
+0.00630836
+0.00421534
+0.00226415
+0.000280722
+-0.0017781
+-0.00387774
+-0.00600124
+-0.00815502
+-0.0103243
+-0.0102741
+-0.00820648
+-0.0062237
+-0.00425181
+-0.00231502
+-0.000682047
+0.00120291
+0.00328848
+0.00540325
+0.00740319
+0.00907959
+0.0109075
+0.0126157
+0.0135013
+0.0146634
+0.0159473
+0.0173093
+0.0188055
+0.0203125
+0.0187081
+0.0167916
+0.0149254
+0.0129953
+0.0110961
+0.00921068
+0.00741698
+0.00556044
+0.00363733
+0.0019114
+0.000835137
+0.00079232
+-0.00111804
+0.000972475
+0.00304196
+0.00517474
+0.00734168
+0.00938814
+0.0114623
+0.0135619
+0.0188289
+0.0172114
+0.0155729
+0.0140262
+0.0126048
+0.0113712
+0.010364
+0.00962648
+0.00928045
+0.00914392
+0.00943649
+0.0101136
+0.0109918
+0.0120803
+0.0133807
+0.0147708
+0.016298
+0.0179275
+0.0195775
+0.0211665
+0.0228337
+0.0245039
+0.0261369
+0.0278242
+0.0295693
+0.0305559
+0.0313254
+0.0307561
+0.0299714
+0.029244
+0.0286647
+0.0282389
+0.0279781
+0.0273587
+0.0255935
+0.0238989
+0.0222624
+0.0207143
+0.0192913
+0.0180109
+0.0168761
+0.0159309
+0.0150874
+0.0142681
+0.0131247
+0.0121784
+0.0114566
+0.0107724
+0.0102145
+0.00984305
+0.00941924
+0.00804095
+0.0061016
+0.00411195
+0.00203949
+-6.38772e-05
+-0.00219131
+-0.00431478
+-0.00648186
+-0.00853261
+-0.0106358
+-0.0103243
+-0.00826932
+-0.00630607
+-0.00432749
+-0.00239332
+-0.00033495
+0.00172886
+0.00358317
+0.00550573
+0.00712512
+0.00897974
+0.0100142
+0.0108041
+0.0117906
+0.0129627
+0.0143641
+0.0158365
+0.0174324
+0.0191073
+0.0197943
+0.017886
+0.0159831
+0.0140852
+0.0122449
+0.0103994
+0.00843574
+0.0065814
+0.00478245
+0.00340475
+0.00224999
+0.00127781
+-0.000857276
+0.000451223
+0.00255856
+0.00462813
+0.00671938
+0.00880159
+0.0108825
+0.0129531
+0.0191796
+0.0175648
+0.016036
+0.014605
+0.013261
+0.0120677
+0.0111435
+0.0104865
+0.0101748
+0.0102658
+0.0105837
+0.0112569
+0.012163
+0.0132307
+0.0145066
+0.015933
+0.0174665
+0.0190296
+0.0206753
+0.0224035
+0.0241516
+0.0258133
+0.0274655
+0.0291238
+0.0308118
+0.0318155
+0.0317907
+0.0309162
+0.0301756
+0.0295792
+0.0291356
+0.0288417
+0.0286905
+0.0278995
+0.0261646
+0.0244978
+0.0228928
+0.0213904
+0.0200155
+0.0187837
+0.0176985
+0.0167994
+0.0159588
+0.0148286
+0.0137394
+0.0127966
+0.0120707
+0.01152
+0.0109559
+0.0105155
+0.0095801
+0.00751059
+0.00543445
+0.00335557
+0.00135369
+-0.000746234
+-0.00279493
+-0.00488697
+-0.00702666
+-0.00911177
+-0.0112079
+-0.0107892
+-0.00879942
+-0.00692683
+-0.00493413
+-0.00299443
+-0.00115719
+0.0008767
+0.00276767
+0.00431252
+0.00621366
+0.00764201
+0.00814242
+0.00900551
+0.0100472
+0.0113999
+0.0129243
+0.0145109
+0.016237
+0.0179717
+0.0197925
+0.0189712
+0.0170967
+0.015229
+0.0132567
+0.0113647
+0.00948772
+0.00772675
+0.00622777
+0.00477053
+0.00372086
+0.00176436
+-0.000293508
+-9.02132e-05
+0.00204079
+0.00416109
+0.00621731
+0.0083176
+0.0104126
+0.0124778
+0.0197278
+0.0181349
+0.0166091
+0.0152327
+0.0140552
+0.0129925
+0.0121076
+0.0115632
+0.0113419
+0.0114382
+0.0118035
+0.0125461
+0.0134187
+0.0144775
+0.0157184
+0.0170695
+0.0185573
+0.0201592
+0.0218153
+0.0234907
+0.0252162
+0.0269688
+0.0287096
+0.0304333
+0.0321016
+0.033084
+0.0320954
+0.0312295
+0.0304966
+0.0299065
+0.0294679
+0.0291773
+0.0290278
+0.0285763
+0.0268816
+0.0252621
+0.0237089
+0.0222617
+0.0209441
+0.0197703
+0.0187423
+0.0178537
+0.0168069
+0.0156501
+0.0146222
+0.0136926
+0.0130207
+0.0125589
+0.0120445
+0.0113815
+0.00923093
+0.00705788
+0.00489995
+0.00278195
+0.00079695
+-0.0011446
+-0.00326916
+-0.00544274
+-0.00751661
+-0.00962905
+-0.0117504
+-0.0115797
+-0.00974469
+-0.00783227
+-0.00592676
+-0.0039359
+-0.0020261
+-0.000141698
+0.00151836
+0.0034915
+0.00562391
+0.00574348
+0.00637434
+0.00727765
+0.00850758
+0.0100551
+0.0116621
+0.0134132
+0.0152088
+0.0170432
+0.0189535
+0.020092
+0.0181193
+0.0162028
+0.0143151
+0.0124664
+0.0107408
+0.00911418
+0.00754832
+0.00616364
+0.00440401
+0.00232095
+0.000221644
+-0.000481166
+0.00159085
+0.00370624
+0.00583999
+0.0079078
+0.0100099
+0.012079
+0.0204252
+0.0188717
+0.0174076
+0.0160996
+0.014992
+0.01408
+0.0132804
+0.0127386
+0.012484
+0.0125877
+0.0130396
+0.0137829
+0.0146824
+0.0156956
+0.0168941
+0.0182374
+0.0197331
+0.0212659
+0.0228717
+0.0245322
+0.0262508
+0.0280292
+0.0298
+0.0315531
+0.0333305
+0.0335205
+0.0325451
+0.0316914
+0.0309695
+0.0303886
+0.029957
+0.0296713
+0.0295243
+0.0293979
+0.0277534
+0.0261879
+0.024693
+0.023307
+0.0220519
+0.0209351
+0.0199442
+0.0190259
+0.0178082
+0.0167081
+0.0157208
+0.0148414
+0.0142238
+0.0138096
+0.0131518
+0.0110275
+0.00892217
+0.00686435
+0.00468639
+0.00253037
+0.000535549
+-0.00139017
+-0.00356509
+-0.00575199
+-0.00794097
+-0.0100761
+-0.0121453
+-0.0125922
+-0.0105813
+-0.00865799
+-0.0068763
+-0.00486833
+-0.00293281
+-0.00112679
+0.00100268
+0.00303402
+0.0040507
+0.00393661
+0.00457136
+0.0058106
+0.0072622
+0.00882621
+0.0105781
+0.0124607
+0.0144144
+0.0163572
+0.0183274
+0.02034
+0.0183627
+0.0164099
+0.014525
+0.012716
+0.0110257
+0.00944516
+0.00798604
+0.00674599
+0.0048497
+0.00272978
+0.000670977
+-0.000712271
+0.00127056
+0.00331425
+0.00541667
+0.00755998
+0.00966313
+0.0117604
+0.0207193
+0.019474
+0.018386
+0.0171671
+0.0160972
+0.0152512
+0.0146194
+0.0140873
+0.0138365
+0.01393
+0.0143441
+0.0150231
+0.0159759
+0.0169921
+0.0181162
+0.0194072
+0.020819
+0.0223507
+0.0239701
+0.025636
+0.0272851
+0.0290002
+0.0307757
+0.0326017
+0.0344278
+0.0340815
+0.0331227
+0.0322843
+0.0315758
+0.0310063
+0.030579
+0.0302983
+0.0301696
+0.0301844
+0.028766
+0.0272587
+0.0258259
+0.024504
+0.023299
+0.0222183
+0.0212872
+0.0201479
+0.019008
+0.0179611
+0.0170055
+0.0161961
+0.0156427
+0.0149666
+0.0128098
+0.0106667
+0.00852393
+0.00638524
+0.00429366
+0.00227225
+0.000493358
+-0.00157593
+-0.00372081
+-0.00589046
+-0.0080695
+-0.0102492
+-0.0124304
+-0.0134359
+-0.0115577
+-0.00969173
+-0.00775228
+-0.00578605
+-0.00376087
+-0.00179268
+0.000200719
+0.00223955
+0.0024588
+0.00216003
+0.00307296
+0.00453803
+0.00608225
+0.00789276
+0.0098319
+0.0118066
+0.0138433
+0.0158901
+0.0179087
+0.0199635
+0.0185831
+0.0166496
+0.0147786
+0.0129787
+0.0111408
+0.00941311
+0.00783394
+0.00646415
+0.0052529
+0.00315615
+0.00102465
+-0.00105604
+0.00104341
+0.00302059
+0.00511452
+0.00722225
+0.00926023
+0.0113099
+0.0211593
+0.0199421
+0.0188967
+0.0180103
+0.0173468
+0.016592
+0.0160209
+0.0155893
+0.0153631
+0.0154473
+0.0157996
+0.0164185
+0.0172946
+0.0183486
+0.0194972
+0.0207147
+0.0220429
+0.0235007
+0.0250653
+0.0267023
+0.0284116
+0.0300996
+0.0318137
+0.0335834
+0.0354002
+0.0347613
+0.0338218
+0.0330011
+0.0323084
+0.0317517
+0.0313287
+0.0310547
+0.0309281
+0.0309426
+0.029905
+0.0284582
+0.0270888
+0.0258186
+0.0246539
+0.0236352
+0.0226279
+0.0214356
+0.0203357
+0.0189666
+0.0176946
+0.0164759
+0.0152997
+0.0142752
+0.0126577
+0.0104846
+0.00832057
+0.00617526
+0.00407805
+0.00206083
+0.000447626
+-0.0017198
+-0.00390073
+-0.00608581
+-0.00827385
+-0.010463
+-0.0126527
+-0.0145181
+-0.0124696
+-0.0104075
+-0.00841055
+-0.00642595
+-0.00442789
+-0.00249451
+-0.000495885
+0.00116551
+0.000794297
+0.00101194
+0.00192039
+0.00346334
+0.00526396
+0.00728088
+0.00937611
+0.0114144
+0.0133398
+0.0153104
+0.0173317
+0.0193899
+0.0190039
+0.0169974
+0.0150333
+0.0131177
+0.0112262
+0.00942192
+0.00770949
+0.00624181
+0.00511047
+0.00331119
+0.00138333
+-0.000689623
+0.000526658
+0.00265164
+0.00467825
+0.00669559
+0.00879529
+0.0109148
+0.0217404
+0.0205894
+0.0195832
+0.0187759
+0.0181499
+0.0177456
+0.0175351
+0.0171903
+0.0170004
+0.0170767
+0.0173914
+0.0179555
+0.01876
+0.019753
+0.0208685
+0.0220979
+0.0233805
+0.0247596
+0.0262493
+0.0278319
+0.0294924
+0.0312163
+0.0329649
+0.0346758
+0.0364382
+0.0355633
+0.0346455
+0.0338449
+0.0331698
+0.0326217
+0.0322101
+0.0319437
+0.0318195
+0.0318336
+0.031156
+0.0297495
+0.0284413
+0.0272244
+0.0261225
+0.0250088
+0.0232657
+0.0216043
+0.0200316
+0.0185794
+0.0172497
+0.0159187
+0.0146278
+0.0135654
+0.0125782
+0.010417
+0.00827098
+0.00615612
+0.00411271
+0.00217257
+0.00039154
+-0.00178526
+-0.00396947
+-0.00615826
+-0.00821511
+-0.0102367
+-0.0123084
+-0.0143652
+-0.0131829
+-0.0111436
+-0.00906098
+-0.00704429
+-0.00516433
+-0.00317153
+-0.00113521
+0.000184823
+-9.51581e-05
+-7.91575e-05
+0.00117234
+0.00298664
+0.00472219
+0.00660129
+0.0084853
+0.0104535
+0.0124924
+0.0145714
+0.016652
+0.0187577
+0.019201
+0.0171387
+0.0151127
+0.0131396
+0.0112355
+0.0093183
+0.00753726
+0.00594814
+0.00465663
+0.00322012
+0.00150887
+-0.000364956
+0.000240817
+0.0022845
+0.00436909
+0.00645866
+0.00857322
+0.0107184
+0.0224099
+0.0213284
+0.0204035
+0.0196402
+0.0190837
+0.0187262
+0.0186178
+0.0187217
+0.0187106
+0.0187848
+0.0191022
+0.0196171
+0.0203556
+0.0212625
+0.022328
+0.0234978
+0.0247879
+0.0261371
+0.0275524
+0.0290641
+0.0306579
+0.0323217
+0.0340399
+0.0357938
+0.0374804
+0.0364794
+0.0355853
+0.0348062
+0.0341477
+0.0336122
+0.0332129
+0.0329546
+0.0328331
+0.0328468
+0.0324853
+0.0311379
+0.0298905
+0.0285452
+0.0266891
+0.0248876
+0.0231306
+0.0214464
+0.0198612
+0.0184007
+0.0169975
+0.0155852
+0.014264
+0.0131723
+0.0123587
+0.0105062
+0.00839061
+0.00628614
+0.00420542
+0.002196
+0.000566995
+-0.00132243
+-0.00332719
+-0.00540757
+-0.0074368
+-0.00949318
+-0.0113837
+-0.0130686
+-0.0137939
+-0.0117665
+-0.00979815
+-0.00770042
+-0.00565587
+-0.00371328
+-0.00212966
+-0.0011564
+-0.00143337
+-0.00153923
+-3.60196e-05
+0.00168627
+0.00367932
+0.00564289
+0.00767745
+0.00975257
+0.0118693
+0.0140088
+0.016162
+0.018323
+0.0192671
+0.0171866
+0.0151308
+0.0131151
+0.0111654
+0.00927797
+0.0074777
+0.00569229
+0.00418837
+0.0030285
+0.00140301
+-0.000285988
+0.000127053
+0.00221112
+0.00432459
+0.00645787
+0.00860975
+0.0107535
+0.0231446
+0.0221209
+0.0212696
+0.0205696
+0.0200462
+0.0197533
+0.019664
+0.0198065
+0.0201425
+0.0205548
+0.0208494
+0.0213538
+0.0220346
+0.0228825
+0.023876
+0.0249947
+0.026225
+0.0275617
+0.0289627
+0.0304044
+0.0319314
+0.033532
+0.0351943
+0.0369049
+0.0384709
+0.0374963
+0.036627
+0.0358706
+0.0352317
+0.0347129
+0.0343263
+0.0340765
+0.033958
+0.0339712
+0.0339032
+0.0324262
+0.0304917
+0.0285942
+0.0267415
+0.0249437
+0.023191
+0.0215115
+0.0199316
+0.0184504
+0.0170112
+0.015556
+0.014232
+0.0131377
+0.0123218
+0.0108511
+0.00878086
+0.00673514
+0.00474697
+0.00295089
+0.00127436
+-0.00063204
+-0.00261645
+-0.0047145
+-0.00665032
+-0.00832722
+-0.0100471
+-0.011755
+-0.0132848
+-0.012275
+-0.0101995
+-0.0081724
+-0.00625658
+-0.00455558
+-0.00330278
+-0.00301364
+-0.00340369
+-0.00308921
+-0.00110552
+0.000943331
+0.00292418
+0.00503778
+0.00719763
+0.00933535
+0.0114814
+0.0136417
+0.0158103
+0.0179843
+0.0194082
+0.0173363
+0.0152974
+0.0133069
+0.0112969
+0.00928232
+0.00734822
+0.00551657
+0.0038597
+0.00258976
+0.00129642
+-0.000340427
+4.12369e-05
+0.00220536
+0.00438049
+0.0065607
+0.00874468
+0.0109303
+0.023991
+0.0230083
+0.0221542
+0.0214897
+0.0210335
+0.0207992
+0.0207786
+0.0209241
+0.0212859
+0.021836
+0.0225578
+0.0231436
+0.0237746
+0.0245848
+0.0255184
+0.026568
+0.0277511
+0.0290267
+0.0303981
+0.0318357
+0.0332936
+0.0348283
+0.0364301
+0.0380907
+0.0395576
+0.0386105
+0.0377669
+0.0370337
+0.0364152
+0.0359136
+0.0355401
+0.0352988
+0.0351835
+0.0351962
+0.0345712
+0.0326168
+0.0306943
+0.0288102
+0.0269724
+0.025191
+0.0234568
+0.0217978
+0.0202402
+0.0187339
+0.0172648
+0.0158328
+0.014534
+0.0134642
+0.0126694
+0.0114383
+0.00941961
+0.00749016
+0.00567914
+0.0038892
+0.00185987
+-0.000218478
+-0.00199256
+-0.0038569
+-0.00531478
+-0.00705655
+-0.00866662
+-0.0102374
+-0.0115784
+-0.0108428
+-0.00963885
+-0.0083188
+-0.00704695
+-0.0057334
+-0.00455741
+-0.0040622
+-0.00445004
+-0.0037135
+-0.00170916
+0.0003515
+0.00253142
+0.00472096
+0.00691122
+0.00910168
+0.0112922
+0.0134828
+0.0156734
+0.0178641
+0.0197721
+0.0176846
+0.015572
+0.0134526
+0.0113478
+0.00926969
+0.00725295
+0.00534748
+0.0035897
+0.0021749
+0.00104128
+-0.000347581
+5.1795e-05
+0.0022016
+0.00438399
+0.0065715
+0.00876017
+0.0109493
+0.0249711
+0.0240198
+0.0232025
+0.0225689
+0.0221349
+0.0219124
+0.0218678
+0.0220395
+0.0224248
+0.0230131
+0.0237609
+0.024648
+0.0255644
+0.0263155
+0.0271916
+0.0282109
+0.0293368
+0.030569
+0.0318834
+0.0332549
+0.0346962
+0.0362094
+0.0377527
+0.0393575
+0.0407333
+0.0398142
+0.0389966
+0.038287
+0.0376891
+0.0372046
+0.0368442
+0.0366115
+0.0364994
+0.0365117
+0.0348879
+0.0329523
+0.0310506
+0.0291894
+0.0273771
+0.0256239
+0.0239211
+0.0222966
+0.0207668
+0.0192639
+0.0177865
+0.0164002
+0.01515
+0.0141269
+0.0133435
+0.0122871
+0.0104026
+0.00855597
+0.00660998
+0.00454626
+0.0025037
+0.000544995
+-0.0014543
+-0.0024857
+-0.004025
+-0.00558635
+-0.00714297
+-0.00871254
+-0.00954532
+-0.00885054
+-0.00792419
+-0.00675074
+-0.00563268
+-0.00460433
+-0.00353735
+-0.003247
+-0.0038459
+-0.0033532
+-0.00151765
+0.000613419
+0.00278154
+0.00494889
+0.00712709
+0.00931114
+0.0114977
+0.0136776
+0.0158413
+0.0180115
+0.0199148
+0.017767
+0.0156238
+0.0134894
+0.0113732
+0.0092915
+0.00727219
+0.00526017
+0.00336094
+0.00172988
+0.000583828
+-0.000442137
+0.000301239
+0.00246723
+0.00463236
+0.0068051
+0.00888794
+0.0108789
+0.0260823
+0.0251532
+0.0243739
+0.0237715
+0.0233599
+0.0231491
+0.0231139
+0.0232764
+0.0236416
+0.0242003
+0.0249397
+0.0258441
+0.0268897
+0.0280084
+0.0289129
+0.0298735
+0.0309474
+0.0321193
+0.0333926
+0.0347301
+0.0361125
+0.0375719
+0.0390997
+0.040688
+0.0419905
+0.0410995
+0.040308
+0.0396219
+0.0390444
+0.0385769
+0.0382295
+0.0380053
+0.0378963
+0.0372783
+0.0353378
+0.0334282
+0.0315552
+0.0297257
+0.0279481
+0.0262332
+0.0245726
+0.0229942
+0.0213853
+0.0198199
+0.0183791
+0.0170983
+0.0159849
+0.0150388
+0.0143199
+0.0132645
+0.0112509
+0.00931738
+0.0074156
+0.00546288
+0.00338034
+0.00138998
+-0.000235951
+-0.00130188
+-0.00254227
+-0.00405052
+-0.00562633
+-0.00730936
+-0.00755708
+-0.00681274
+-0.00605292
+-0.00511542
+-0.00416253
+-0.00294001
+-0.00220994
+-0.00243538
+-0.00347266
+-0.00259405
+-0.000926788
+0.00108961
+0.00315347
+0.00523073
+0.00736307
+0.00951665
+0.0116839
+0.0138586
+0.0160375
+0.0182194
+0.0200581
+0.0179241
+0.0158056
+0.0136698
+0.0115316
+0.00941765
+0.00734875
+0.00527922
+0.00328569
+0.0014179
+-0.000205629
+-0.00108124
+0.000315541
+0.00221885
+0.00400707
+0.00602307
+0.00806947
+0.0101
+0.0273059
+0.0264199
+0.0256791
+0.0251081
+0.0247187
+0.0245196
+0.0244874
+0.0246408
+0.024986
+0.0255154
+0.0262177
+0.0270794
+0.028086
+0.0292224
+0.030467
+0.0316006
+0.0326176
+0.0337406
+0.0349549
+0.036261
+0.0376032
+0.0390068
+0.0404804
+0.0420166
+0.043322
+0.0424589
+0.0416932
+0.0410303
+0.0404729
+0.0400222
+0.0396874
+0.0394715
+0.0393657
+0.0378268
+0.0359159
+0.0340388
+0.0322013
+0.0304107
+0.0286756
+0.0269451
+0.025168
+0.023461
+0.0218337
+0.0202997
+0.0188955
+0.0176522
+0.0166061
+0.015754
+0.0151493
+0.0140244
+0.0121375
+0.0103354
+0.00828655
+0.00627819
+0.00443821
+0.002751
+0.00118248
+1.8383e-05
+-0.000981425
+-0.00256033
+-0.00422076
+-0.00577912
+-0.00540208
+-0.00475294
+-0.0041127
+-0.00344073
+-0.00265525
+-0.00134508
+-0.000810539
+-0.00166875
+-0.00230266
+-0.00193754
+-0.000377088
+0.00177224
+0.00388232
+0.00592028
+0.00790424
+0.0099583
+0.0120605
+0.0141865
+0.0163215
+0.0184691
+0.0202813
+0.0181252
+0.0159784
+0.0138454
+0.0117337
+0.009567
+0.00740901
+0.00527799
+0.00320538
+0.00122681
+-0.000620395
+-0.00202713
+-0.000809159
+0.00113741
+0.00318733
+0.00525307
+0.00738891
+0.00954962
+0.0286451
+0.0278018
+0.0270988
+0.0265583
+0.0261905
+0.0260027
+0.0259723
+0.026117
+0.026443
+0.0269437
+0.0276097
+0.0284293
+0.0293896
+0.0304775
+0.0316796
+0.0329836
+0.0342915
+0.0354172
+0.0365818
+0.0378317
+0.0391528
+0.0405094
+0.0419303
+0.0434152
+0.0447212
+0.0438857
+0.0431453
+0.0425051
+0.0419673
+0.0415327
+0.0412102
+0.0410023
+0.0404001
+0.0384923
+0.0366162
+0.0347769
+0.0329806
+0.0311219
+0.0292705
+0.0274692
+0.0257283
+0.024061
+0.0224773
+0.0209903
+0.0196356
+0.0184423
+0.0174436
+0.0166427
+0.0160655
+0.0150483
+0.0131658
+0.0111755
+0.00927583
+0.00751703
+0.00582856
+0.00423599
+0.00277847
+0.00143098
+0.000465662
+-0.00114736
+-0.00281268
+-0.00363071
+-0.00322647
+-0.0026877
+-0.00219548
+-0.00182201
+-0.00104256
+0.000370176
+0.00036284
+-0.00105968
+-0.00113702
+-0.00090246
+0.000325393
+0.00218724
+0.00428301
+0.00642146
+0.00857935
+0.0105948
+0.0126499
+0.0147263
+0.0168033
+0.0189059
+0.0204897
+0.0183165
+0.016148
+0.0139863
+0.0118354
+0.00970228
+0.00756246
+0.00541872
+0.00333412
+0.00135463
+-0.000338138
+-0.00197524
+-0.00163315
+0.000532919
+0.00266627
+0.00476505
+0.00689123
+0.00902816
+0.0300843
+0.0292825
+0.0286159
+0.0281046
+0.0277573
+0.0275802
+0.0275515
+0.0276879
+0.0279956
+0.0284691
+0.0291002
+0.0298789
+0.0307941
+0.031834
+0.0329867
+0.034241
+0.035586
+0.0369397
+0.0382628
+0.0394616
+0.040741
+0.0420675
+0.0434422
+0.0448772
+0.046182
+0.0453734
+0.0446577
+0.0440394
+0.0435206
+0.0431017
+0.042452
+0.0411224
+0.0398688
+0.0386851
+0.0373818
+0.0354728
+0.033587
+0.0317283
+0.0299145
+0.0281544
+0.0264586
+0.0248404
+0.0233092
+0.0218789
+0.0205827
+0.0194476
+0.0185033
+0.0177518
+0.0172108
+0.0160735
+0.0141531
+0.0123233
+0.0106071
+0.00891581
+0.00731595
+0.00578995
+0.00430553
+0.00298304
+0.00157397
+0.000115861
+-0.00135457
+-0.00150134
+-0.00109158
+-0.000719756
+-0.000435371
+-0.000242671
+0.000596521
+0.00189937
+0.00109756
+-0.000207055
+-0.000132434
+0.000479865
+0.0016435
+0.00303817
+0.00482169
+0.00680256
+0.00886585
+0.0109786
+0.0131139
+0.0152592
+0.0173653
+0.019435
+0.0206939
+0.0185446
+0.0164062
+0.0142838
+0.0121854
+0.0101254
+0.00804186
+0.00598436
+0.00388586
+0.0018551
+-9.56645e-05
+-0.00174264
+-0.00182443
+0.000191998
+0.00234419
+0.00450991
+0.00669029
+0.00887573
+0.03161
+0.0308479
+0.0302158
+0.029732
+0.029404
+0.0292368
+0.0292097
+0.0293385
+0.029629
+0.0300768
+0.0306748
+0.0314145
+0.0322862
+0.0332795
+0.0343839
+0.0355889
+0.0368848
+0.0382476
+0.0396377
+0.0410658
+0.0423722
+0.0436552
+0.0450067
+0.0463965
+0.0476987
+0.0469163
+0.0462244
+0.0456274
+0.0445467
+0.0430591
+0.0416337
+0.0402771
+0.0389964
+0.0377994
+0.0364559
+0.0350228
+0.0336714
+0.0324118
+0.0307016
+0.0289893
+0.0273447
+0.0257668
+0.0242836
+0.0229142
+0.02168
+0.0206054
+0.0197166
+0.019008
+0.0185102
+0.0171734
+0.0153909
+0.0136948
+0.0119965
+0.0104067
+0.00885615
+0.00732734
+0.00591588
+0.00446278
+0.00309832
+0.00105694
+-0.000471074
+0.000473477
+0.000928081
+0.000939729
+0.00132227
+0.00177029
+0.00255419
+0.00341182
+0.00188433
+0.000692706
+0.000872863
+0.00186419
+0.00271556
+0.00408151
+0.00579426
+0.00769186
+0.00960269
+0.0116098
+0.0136481
+0.0157207
+0.0178215
+0.0199417
+0.0211245
+0.0190239
+0.0169461
+0.0149008
+0.0128026
+0.0107186
+0.00866616
+0.00659791
+0.00455238
+0.00261541
+0.00092437
+-0.00091376
+-0.00149562
+0.000507991
+0.00266169
+0.00484695
+0.00702888
+0.00919978
+0.033207
+0.0324755
+0.0318757
+0.0314176
+0.0311073
+0.0309493
+0.0309343
+0.0310559
+0.0313305
+0.0317543
+0.0323213
+0.0330242
+0.0338544
+0.034803
+0.0358605
+0.0370175
+0.038265
+0.0395803
+0.0409681
+0.0423858
+0.0438373
+0.0452806
+0.0465863
+0.0479542
+0.0492662
+0.048509
+0.0470552
+0.0454408
+0.0438763
+0.042366
+0.0409165
+0.0395353
+0.0382297
+0.0370079
+0.0355763
+0.0341062
+0.032717
+0.0314191
+0.0302245
+0.0291458
+0.0281955
+0.0268298
+0.0254088
+0.0241033
+0.0229333
+0.0219202
+0.0210844
+0.0204071
+0.0199487
+0.0184688
+0.0167735
+0.0150823
+0.0135008
+0.0119388
+0.0103817
+0.00894879
+0.00746407
+0.00575149
+0.0037461
+0.00196738
+0.00131254
+0.00228652
+0.00284106
+0.00289046
+0.00330557
+0.0037875
+0.00453063
+0.00424766
+0.00268517
+0.00160569
+0.00187085
+0.00295604
+0.00396232
+0.00526962
+0.00694078
+0.00860958
+0.0104721
+0.012442
+0.0144617
+0.0164615
+0.0184797
+0.0205321
+0.0217681
+0.0196691
+0.0175801
+0.0155192
+0.0134829
+0.0114176
+0.00940914
+0.00745838
+0.00562684
+0.00393592
+0.00199269
+9.77377e-06
+-0.00119104
+0.000351145
+0.00240535
+0.00454491
+0.00671752
+0.00889898
+0.0348561
+0.0341578
+0.033588
+0.0331535
+0.0328596
+0.0327101
+0.032707
+0.0328297
+0.0330896
+0.0334911
+0.0340292
+0.0346975
+0.0354886
+0.0363946
+0.0374071
+0.0385177
+0.0397182
+0.0409868
+0.0423285
+0.0437388
+0.0451792
+0.0466474
+0.048167
+0.0495355
+0.0499159
+0.0481982
+0.0465203
+0.0448866
+0.0433022
+0.0417712
+0.0403002
+0.0388971
+0.0375694
+0.0363254
+0.0348125
+0.0333086
+0.0318841
+0.0305503
+0.0293197
+0.0282058
+0.0272224
+0.0263541
+0.0256406
+0.0250985
+0.024315
+0.0233446
+0.0225461
+0.0219308
+0.0215048
+0.0198536
+0.0181723
+0.0165964
+0.0150279
+0.0134561
+0.0120144
+0.0104415
+0.00861827
+0.00670986
+0.00503058
+0.00381307
+0.0034611
+0.00406411
+0.00490288
+0.00500145
+0.00537353
+0.00590271
+0.00629883
+0.00460585
+0.00316
+0.00245691
+0.00312739
+0.00407993
+0.00517531
+0.00635628
+0.00790688
+0.00966727
+0.0115703
+0.0133795
+0.0152888
+0.017265
+0.0192877
+0.0213321
+0.0224099
+0.0203664
+0.0183246
+0.0162839
+0.0142877
+0.0123343
+0.010447
+0.00868
+0.00687457
+0.0048195
+0.00278427
+0.000898481
+-0.000445559
+0.000621826
+0.00252993
+0.00460492
+0.00675048
+0.00891799
+0.0365601
+0.0358949
+0.0353532
+0.0349406
+0.0346619
+0.0345202
+0.0345173
+0.0346452
+0.0348916
+0.0352726
+0.0357839
+0.03642
+0.0371745
+0.0380404
+0.0390102
+0.0400764
+0.0412315
+0.0424598
+0.0437564
+0.0451221
+0.0465509
+0.04801
+0.0494919
+0.0510208
+0.049509
+0.0477767
+0.0460835
+0.0444337
+0.0428325
+0.0412841
+0.0397952
+0.0383736
+0.0370271
+0.0357489
+0.0341455
+0.0326105
+0.031154
+0.0297875
+0.028524
+0.0273778
+0.0263641
+0.0254849
+0.0247462
+0.024184
+0.0238109
+0.0236357
+0.0236575
+0.0235354
+0.022934
+0.0212646
+0.0196927
+0.01812
+0.0165393
+0.0150766
+0.0132874
+0.0115784
+0.00975433
+0.00811377
+0.00676827
+0.00587334
+0.0056284
+0.00610967
+0.00702647
+0.00715258
+0.00750812
+0.00802735
+0.00654676
+0.00515468
+0.00400808
+0.0034546
+0.00397788
+0.00523383
+0.00616415
+0.0074986
+0.00895243
+0.0105873
+0.0123622
+0.0142459
+0.0162053
+0.0182025
+0.020145
+0.0221213
+0.0231901
+0.0211651
+0.0191765
+0.0172203
+0.0153083
+0.0134815
+0.0117217
+0.00965489
+0.00760449
+0.00554686
+0.00356922
+0.00165581
+0.000427195
+0.00118327
+0.00279504
+0.00483288
+0.00690014
+0.00902138
+0.0383136
+0.0376794
+0.0371637
+0.0367715
+0.0365067
+0.0363722
+0.0363694
+0.0364929
+0.0367269
+0.0370891
+0.0375757
+0.0381819
+0.0389023
+0.0397305
+0.04066
+0.041684
+0.0427958
+0.0439886
+0.0452453
+0.0465674
+0.0479532
+0.0493972
+0.050872
+0.0509747
+0.0491964
+0.0474527
+0.0457475
+0.0440852
+0.0424708
+0.0409087
+0.0394056
+0.0379694
+0.0366081
+0.0352357
+0.0336079
+0.0320471
+0.0305638
+0.0291697
+0.0278782
+0.0267043
+0.025664
+0.02476
+0.023999
+0.0234189
+0.0230333
+0.0228522
+0.0228747
+0.0228429
+0.0221847
+0.0217283
+0.0212139
+0.0196272
+0.0179896
+0.0162259
+0.0145765
+0.0128245
+0.0112052
+0.00980962
+0.00868127
+0.00800319
+0.00780811
+0.00818513
+0.0089362
+0.00932183
+0.00962392
+0.00829673
+0.00680987
+0.00554645
+0.00464467
+0.00430107
+0.00480563
+0.0059888
+0.00739567
+0.00865882
+0.0101528
+0.0117343
+0.0134022
+0.0151672
+0.0170314
+0.0189655
+0.0209238
+0.0229199
+0.0240693
+0.0221118
+0.0201877
+0.0183236
+0.0165397
+0.0145065
+0.0124131
+0.0103408
+0.00824971
+0.00620842
+0.00431574
+0.00270911
+0.00197984
+0.00243849
+0.00368931
+0.00540588
+0.00733982
+0.00936275
+0.0401101
+0.0395047
+0.0390132
+0.0386397
+0.0383878
+0.03826
+0.0382573
+0.0383768
+0.0385993
+0.0389441
+0.0394078
+0.0399863
+0.0406747
+0.0414675
+0.0423589
+0.0433428
+0.0444131
+0.0455636
+0.0467884
+0.0480691
+0.0494128
+0.0508153
+0.0522721
+0.0507657
+0.0489799
+0.0472282
+0.0455146
+0.0438434
+0.0422198
+0.040648
+0.0391349
+0.0376884
+0.0363166
+0.034853
+0.0332064
+0.0316258
+0.0301218
+0.0287062
+0.0273929
+0.0261972
+0.0251359
+0.0242122
+0.0234334
+0.0228389
+0.0224435
+0.0222575
+0.0222806
+0.0222897
+0.0216146
+0.0211459
+0.0208976
+0.0208351
+0.0192146
+0.017568
+0.0159055
+0.0142995
+0.0128671
+0.0116374
+0.0107013
+0.0101589
+0.00999261
+0.0102899
+0.0109482
+0.0105055
+0.00977673
+0.00814288
+0.00647826
+0.00503654
+0.00411297
+0.00405907
+0.00484441
+0.00606257
+0.00758715
+0.0092573
+0.0107896
+0.0124926
+0.0142937
+0.0161829
+0.0180656
+0.0198995
+0.0217993
+0.0233153
+0.0245877
+0.0231893
+0.0213625
+0.0193156
+0.0172079
+0.0151064
+0.0130344
+0.0110085
+0.00905951
+0.00723114
+0.00558255
+0.00441932
+0.00396069
+0.00417432
+0.00511816
+0.0065366
+0.00823976
+0.0100997
+0.0419441
+0.0413656
+0.0408964
+0.0405403
+0.0403003
+0.0401785
+0.040176
+0.0402915
+0.0405037
+0.0408324
+0.0412749
+0.0418275
+0.0424861
+0.0432458
+0.0441012
+0.0450471
+0.0460778
+0.0471877
+0.0483714
+0.0496221
+0.0509248
+0.0522868
+0.0524712
+0.0506508
+0.0488607
+0.0471046
+0.0453863
+0.0437102
+0.0420815
+0.0405044
+0.0389857
+0.0375335
+0.0361557
+0.034605
+0.0329459
+0.0313523
+0.0298344
+0.0284046
+0.0270766
+0.0258663
+0.0247909
+0.0238538
+0.0230629
+0.0224586
+0.0220563
+0.0218671
+0.0218906
+0.0219422
+0.0212561
+0.0207793
+0.0205265
+0.0204629
+0.0205904
+0.0189921
+0.0173952
+0.0159399
+0.0146523
+0.0135713
+0.0127777
+0.012324
+0.0121793
+0.0124244
+0.0115395
+0.0106564
+0.00903955
+0.00703412
+0.00517682
+0.00353584
+0.00226421
+0.00223228
+0.00332758
+0.00472257
+0.00653257
+0.00838614
+0.0103686
+0.0124213
+0.0145143
+0.0165815
+0.0185308
+0.0201001
+0.0212347
+0.0224521
+0.0237767
+0.0241047
+0.0220076
+0.0199307
+0.0178809
+0.0158688
+0.0139109
+0.0120209
+0.0102286
+0.00860506
+0.00725555
+0.00627998
+0.0058753
+0.00607203
+0.00680317
+0.00798695
+0.0094818
+0.0111687
+0.0438109
+0.0432573
+0.0428089
+0.0424688
+0.0422398
+0.0421236
+0.0421212
+0.0422323
+0.0424357
+0.0427495
+0.0431724
+0.043701
+0.0443318
+0.0450603
+0.045882
+0.0467919
+0.0477849
+0.0488561
+0.0500004
+0.0512128
+0.0524847
+0.0538073
+0.0524515
+0.0506304
+0.0488397
+0.0470827
+0.0453636
+0.0436867
+0.042057
+0.0404789
+0.0389592
+0.037506
+0.0361272
+0.0344945
+0.0328299
+0.0312303
+0.0297063
+0.0282699
+0.0269354
+0.0257184
+0.0246365
+0.0236933
+0.0228969
+0.0222881
+0.0218827
+0.0216919
+0.0217156
+0.0218103
+0.0211199
+0.02064
+0.0203854
+0.0203214
+0.0204903
+0.0204916
+0.0190209
+0.017696
+0.0165239
+0.0155734
+0.0148869
+0.0144909
+0.0141942
+0.0129225
+0.0118287
+0.0104234
+0.0083406
+0.00630405
+0.00430265
+0.00241934
+0.000907275
+0.000897465
+0.0021186
+0.00382312
+0.00574147
+0.00778629
+0.00989375
+0.0120285
+0.0141726
+0.016329
+0.0183361
+0.0194272
+0.0205183
+0.0217759
+0.0231393
+0.0246154
+0.0227497
+0.0207472
+0.0187858
+0.0168648
+0.0150017
+0.0132146
+0.0115577
+0.0101062
+0.00893303
+0.00813825
+0.00780062
+0.00795799
+0.00856835
+0.00959905
+0.0109151
+0.0124793
+0.0457064
+0.0451761
+0.0447469
+0.0444217
+0.0442027
+0.0440917
+0.0440894
+0.0441958
+0.0443917
+0.0446918
+0.0450964
+0.0456028
+0.0462076
+0.046907
+0.0476969
+0.0485728
+0.0495302
+0.0505644
+0.0516708
+0.0528449
+0.0540823
+0.0543662
+0.0525189
+0.050699
+0.0489094
+0.0471537
+0.0454359
+0.0437603
+0.0421319
+0.0405566
+0.0390407
+0.0375913
+0.0362166
+0.0345231
+0.0328599
+0.0312619
+0.0297394
+0.0283047
+0.0269719
+0.0257566
+0.0246726
+0.0237265
+0.0229313
+0.0223234
+0.0219186
+0.0217282
+0.0217319
+0.0218762
+0.0212103
+0.0207325
+0.0204609
+0.0203947
+0.0205631
+0.0209603
+0.0207508
+0.0195217
+0.0184658
+0.0176204
+0.0170166
+0.0161383
+0.0147053
+0.0134697
+0.0123095
+0.0101524
+0.00801211
+0.00590687
+0.00384493
+0.00188269
+-5.60379e-05
+-2.2884e-05
+0.00166262
+0.00341457
+0.00547332
+0.00757696
+0.00971469
+0.0118717
+0.0140391
+0.0162128
+0.0178779
+0.0188972
+0.0200173
+0.0213044
+0.0226963
+0.0241995
+0.0236544
+0.0217033
+0.0198024
+0.0179652
+0.0162022
+0.0145557
+0.01307
+0.0118033
+0.010778
+0.0101269
+0.00983759
+0.00996569
+0.0104821
+0.0113636
+0.0125208
+0.0139056
+0.0476273
+0.0471186
+0.0467072
+0.0463957
+0.0461862
+0.0460799
+0.0460777
+0.0461796
+0.0463687
+0.0466561
+0.0470438
+0.0475295
+0.0481101
+0.0487822
+0.0495422
+0.050386
+0.0513096
+0.0523086
+0.0533789
+0.0545163
+0.0557166
+0.0545065
+0.0526641
+0.0508494
+0.0490653
+0.0473154
+0.0456036
+0.0439344
+0.0423128
+0.0407445
+0.0392358
+0.037794
+0.0363867
+0.034675
+0.0330201
+0.0314307
+0.0299146
+0.0284847
+0.0271564
+0.0259453
+0.0248686
+0.0239302
+0.023142
+0.0225398
+0.022139
+0.0219505
+0.0219542
+0.022139
+0.0214976
+0.0210264
+0.0207416
+0.0206764
+0.0208425
+0.0212345
+0.0218402
+0.0214159
+0.0204581
+0.0196983
+0.0183929
+0.0168609
+0.015488
+0.0143201
+0.0124021
+0.0102413
+0.00806167
+0.00588788
+0.00372761
+0.00160425
+-0.000312264
+6.30305e-05
+0.0018994
+0.00377384
+0.00574741
+0.00783714
+0.00992569
+0.0120449
+0.0141859
+0.01634
+0.0176671
+0.0186116
+0.0197479
+0.0210515
+0.0224591
+0.0239772
+0.0246417
+0.0227753
+0.0209626
+0.0192248
+0.0175884
+0.0160844
+0.0147535
+0.0136124
+0.0127331
+0.012171
+0.0119292
+0.0120374
+0.0124873
+0.0132359
+0.014283
+0.0155112
+0.0495705
+0.049082
+0.0486872
+0.0483885
+0.0481876
+0.0480858
+0.0480837
+0.0481812
+0.0483642
+0.0486398
+0.0490118
+0.0494781
+0.0500361
+0.0506827
+0.0514146
+0.0522282
+0.0531197
+0.0540853
+0.0551211
+0.0562233
+0.056594
+0.0547342
+0.0528997
+0.0510933
+0.0493181
+0.0475775
+0.0458755
+0.0442166
+0.0426057
+0.0410486
+0.0395515
+0.0381216
+0.036651
+0.0349523
+0.0333111
+0.0317364
+0.0302356
+0.0288216
+0.0275096
+0.0263147
+0.0252538
+0.0243303
+0.0235554
+0.0229641
+0.0225709
+0.022386
+0.0223896
+0.0225904
+0.0219421
+0.0214806
+0.0212361
+0.021182
+0.0213442
+0.0217271
+0.0223195
+0.0231052
+0.0224873
+0.02086
+0.0192752
+0.0178191
+0.016526
+0.0148614
+0.0127152
+0.0105813
+0.00847639
+0.00642905
+0.00449946
+0.00277281
+0.00159596
+0.00172805
+0.00289727
+0.00448703
+0.0063854
+0.00833591
+0.010367
+0.0124523
+0.0145686
+0.0166438
+0.0176355
+0.0185817
+0.0197197
+0.021025
+0.0224344
+0.023954
+0.0255712
+0.0239856
+0.0222681
+0.0206405
+0.0191257
+0.0177524
+0.0165416
+0.0155197
+0.0147545
+0.0142569
+0.014051
+0.014145
+0.0145446
+0.0151936
+0.0161152
+0.0172461
+0.0515336
+0.0510639
+0.0506845
+0.0503976
+0.0502048
+0.0501071
+0.050105
+0.0501987
+0.0503758
+0.0506405
+0.0509979
+0.0514463
+0.0519831
+0.0526058
+0.0533113
+0.0540964
+0.0549576
+0.0558915
+0.0568944
+0.0579628
+0.0568977
+0.0550482
+0.0532245
+0.0514296
+0.0496663
+0.0479384
+0.0462497
+0.0446047
+0.0430083
+0.0414663
+0.0399849
+0.038571
+0.0370433
+0.0353634
+0.0337422
+0.0321886
+0.0307098
+0.0293187
+0.02803
+0.0268584
+0.0258198
+0.0249173
+0.0241612
+0.0235851
+0.0232023
+0.0230226
+0.0230261
+0.0232214
+0.0225912
+0.0221432
+0.0219061
+0.0218869
+0.022053
+0.0224239
+0.0229983
+0.0237616
+0.0234637
+0.021848
+0.0203403
+0.0189663
+0.0174694
+0.0153915
+0.0133262
+0.0113081
+0.00936801
+0.00748558
+0.00577254
+0.0043588
+0.00365656
+0.00373392
+0.00453392
+0.00582657
+0.00740476
+0.00920782
+0.0111486
+0.0131419
+0.0151623
+0.0169517
+0.0178745
+0.0188086
+0.0199336
+0.0212153
+0.0226056
+0.0241151
+0.0257021
+0.0253248
+0.0237046
+0.0221826
+0.0207805
+0.0195226
+0.0184061
+0.0174935
+0.0168183
+0.0163701
+0.0161912
+0.0162746
+0.0166246
+0.0172075
+0.0180264
+0.0190632
+0.0535144
+0.0530622
+0.0526972
+0.0524214
+0.052236
+0.0521421
+0.0521401
+0.0522301
+0.0524019
+0.0526563
+0.0530002
+0.0534317
+0.0539488
+0.0545491
+0.0552297
+0.0559879
+0.0568205
+0.0577242
+0.0586958
+0.0591444
+0.0572836
+0.055447
+0.0536369
+0.0518562
+0.050108
+0.0483959
+0.0467237
+0.045096
+0.0435176
+0.0419943
+0.0405322
+0.0391381
+0.0375594
+0.0359037
+0.034308
+0.0327812
+0.0313305
+0.0299682
+0.0287086
+0.0275658
+0.0265549
+0.0256772
+0.0249441
+0.0243862
+0.024016
+0.0238421
+0.0238466
+0.0240353
+0.0234279
+0.0229962
+0.022768
+0.0227495
+0.0229411
+0.0233065
+0.0238597
+0.0245963
+0.0245366
+0.0229964
+0.0215691
+0.0202102
+0.0181837
+0.016199
+0.0142429
+0.0123154
+0.0104858
+0.00882121
+0.00735299
+0.00630161
+0.00578312
+0.00583488
+0.00644247
+0.00747968
+0.00885554
+0.0104134
+0.0121633
+0.0140376
+0.0159921
+0.01753
+0.0183644
+0.0192676
+0.0203673
+0.0215964
+0.0229637
+0.0244511
+0.026016
+0.0267765
+0.0252496
+0.0238266
+0.022527
+0.021352
+0.0203358
+0.0195136
+0.0189105
+0.0185014
+0.0183433
+0.0184185
+0.0187285
+0.01926
+0.0199951
+0.0209346
+0.0555109
+0.0550751
+0.0547236
+0.054458
+0.0542796
+0.0541892
+0.0541873
+0.0542739
+0.0544406
+0.0546856
+0.0550168
+0.0554326
+0.0559312
+0.0565104
+0.0571677
+0.0579005
+0.058706
+0.0595811
+0.060523
+0.0595964
+0.0577502
+0.0559288
+0.0541349
+0.0523711
+0.0506407
+0.0489472
+0.0472945
+0.0456871
+0.0441299
+0.0426285
+0.0411889
+0.0398178
+0.0381944
+0.0365674
+0.0350021
+0.0335068
+0.032089
+0.0307603
+0.0295345
+0.0284249
+0.0274294
+0.0265641
+0.0258559
+0.025318
+0.0249615
+0.0247941
+0.0247995
+0.0249811
+0.0244329
+0.0240193
+0.0238009
+0.0237832
+0.0239665
+0.0243255
+0.024856
+0.0255639
+0.0257515
+0.0242885
+0.0229418
+0.0210587
+0.0191015
+0.0171729
+0.0153054
+0.0135302
+0.011889
+0.0104082
+0.00918563
+0.00835017
+0.00794402
+0.00798
+0.00846183
+0.00932317
+0.0104942
+0.0119035
+0.0134611
+0.0151759
+0.0170003
+0.0183511
+0.0190546
+0.0199265
+0.0209918
+0.0221883
+0.0235212
+0.0249754
+0.0265078
+0.0281168
+0.0268845
+0.0255527
+0.0243357
+0.0232436
+0.0223138
+0.0215671
+0.0210154
+0.0206452
+0.0205035
+0.0205722
+0.0208502
+0.0213401
+0.0220058
+0.0228628
+0.0575216
+0.0571012
+0.0567622
+0.0565062
+0.0563342
+0.0562472
+0.0562453
+0.0563288
+0.0564908
+0.0567269
+0.0570462
+0.0574474
+0.0579287
+0.0584881
+0.0591234
+0.0598323
+0.060612
+0.0614601
+0.0619777
+0.0601248
+0.0582953
+0.0564916
+0.0547161
+0.0529717
+0.0512615
+0.0495892
+0.0479587
+0.0463743
+0.044841
+0.0433642
+0.0419498
+0.0405924
+0.0389424
+0.0373481
+0.0358168
+0.0343571
+0.0329758
+0.0316843
+0.0304957
+0.0294035
+0.0284297
+0.0275958
+0.0269148
+0.0263985
+0.0260567
+0.0258964
+0.0259019
+0.0260758
+0.0255765
+0.0251816
+0.0249734
+0.0249565
+0.0251313
+0.0254839
+0.0259908
+0.0266686
+0.0270894
+0.0257027
+0.0239714
+0.0220454
+0.0201532
+0.0183277
+0.0165907
+0.0149686
+0.013483
+0.0121753
+0.0111482
+0.01044
+0.0101159
+0.0101446
+0.0105478
+0.0112483
+0.0122594
+0.0135051
+0.0149684
+0.0165275
+0.0182171
+0.0193085
+0.0199625
+0.0207964
+0.0218192
+0.0229746
+0.0242644
+0.0256765
+0.0271679
+0.0287399
+0.0285939
+0.0273445
+0.0261951
+0.0251838
+0.0243282
+0.0236452
+0.0231337
+0.0227978
+0.0226697
+0.0227331
+0.0229849
+0.023439
+0.0240479
+0.0248345
+0.059545
+0.0591389
+0.0588117
+0.0585647
+0.0583988
+0.0583148
+0.058313
+0.0583935
+0.0585511
+0.058779
+0.0590872
+0.0594746
+0.0599396
+0.0604804
+0.061095
+0.0617813
+0.0625367
+0.063359
+0.0625628
+0.0607277
+0.058917
+0.0571328
+0.0553779
+0.053655
+0.0519674
+0.0503185
+0.0487124
+0.0471533
+0.0456462
+0.0441963
+0.0428095
+0.0413962
+0.0397796
+0.0382202
+0.0367254
+0.0353032
+0.0339629
+0.0327145
+0.0315589
+0.0304966
+0.0295588
+0.0287577
+0.0281048
+0.0276108
+0.0272842
+0.0271312
+0.0271366
+0.0273026
+0.0268254
+0.0264492
+0.026251
+0.026235
+0.0264013
+0.0267466
+0.0272547
+0.0279018
+0.0285329
+0.0269246
+0.0250208
+0.0231645
+0.0213716
+0.0196595
+0.0180511
+0.0165549
+0.0151958
+0.0140485
+0.0131684
+0.0125642
+0.0122928
+0.0123185
+0.0126688
+0.0132387
+0.0141182
+0.0152278
+0.0165402
+0.0180242
+0.0196039
+0.0204411
+0.0210601
+0.0218521
+0.0228277
+0.0239363
+0.0251768
+0.0265404
+0.0279843
+0.0295129
+0.0303651
+0.029177
+0.0281023
+0.0271621
+0.0263707
+0.025742
+0.0252643
+0.0249571
+0.0248401
+0.0248991
+0.0251293
+0.0255459
+0.0261142
+0.0268403
+0.0615799
+0.0611873
+0.0608711
+0.0606324
+0.0604722
+0.0603911
+0.0603894
+0.0604671
+0.0606206
+0.0608407
+0.0611385
+0.061513
+0.0619627
+0.062486
+0.0630811
+0.063746
+0.0644784
+0.0650569
+0.0632184
+0.0614029
+0.0596127
+0.05785
+0.0561175
+0.054418
+0.0527548
+0.0511313
+0.0495516
+0.0480198
+0.0465407
+0.0451196
+0.043762
+0.0422929
+0.0407119
+0.0391897
+0.0377332
+0.0363505
+0.0350503
+0.0338421
+0.0327267
+0.0317036
+0.0308026
+0.0300346
+0.0294101
+0.0289384
+0.028627
+0.0284811
+0.0284866
+0.0286447
+0.0281894
+0.0278317
+0.0276435
+0.0276282
+0.0277862
+0.0281145
+0.0286072
+0.0292451
+0.0298985
+0.0280228
+0.026196
+0.0244292
+0.0227362
+0.0211349
+0.0196319
+0.0182391
+0.0170151
+0.0159988
+0.0152317
+0.0147079
+0.0144726
+0.0144974
+0.0147933
+0.015284
+0.0160516
+0.0170581
+0.0182394
+0.0195951
+0.0210916
+0.021736
+0.0223192
+0.0230681
+0.0239943
+0.025053
+0.0262408
+0.0275518
+0.0289439
+0.0304243
+0.0319863
+0.0310556
+0.0300481
+0.0291707
+0.0284353
+0.0278532
+0.0274043
+0.0271214
+0.0270138
+0.0270691
+0.027281
+0.0276653
+0.0281992
+0.0288729
+0.063625
+0.0632452
+0.0629393
+0.0627085
+0.0625536
+0.0624752
+0.0624736
+0.0625487
+0.0626983
+0.0629111
+0.0631992
+0.0635615
+0.0639969
+0.0645037
+0.0650803
+0.0657249
+0.0664356
+0.0657606
+0.0639423
+0.062148
+0.0603799
+0.0586403
+0.0569318
+0.0552574
+0.0536202
+0.0520238
+0.0504719
+0.048969
+0.0475195
+0.0461285
+0.0448015
+0.043282
+0.0417385
+0.0402551
+0.0388386
+0.0374967
+0.0362376
+0.0350703
+0.0339957
+0.033012
+0.0321476
+0.0314126
+0.030816
+0.0303661
+0.0300695
+0.0299307
+0.0299361
+0.0300867
+0.0296527
+0.0293129
+0.0291342
+0.0291197
+0.0292697
+0.0295815
+0.0300502
+0.0306686
+0.0310436
+0.0292415
+0.0274958
+0.0258181
+0.0242224
+0.0227147
+0.0212982
+0.0200216
+0.0189133
+0.0180044
+0.0173198
+0.0168638
+0.0166552
+0.0166794
+0.0169345
+0.0173648
+0.018044
+0.0189471
+0.0200342
+0.0212758
+0.0226617
+0.0231662
+0.0237111
+0.0244173
+0.0252941
+0.0263052
+0.0274388
+0.028695
+0.0300329
+0.0314621
+0.032975
+0.0329727
+0.0320257
+0.0312039
+0.0305175
+0.0299722
+0.0295518
+0.0292897
+0.02919
+0.0292422
+0.0294385
+0.0297949
+0.0302991
+0.0309272
+0.0656796
+0.0653117
+0.0650155
+0.0647921
+0.0646422
+0.0645664
+0.0645648
+0.0646375
+0.0647834
+0.0649895
+0.0652684
+0.0656193
+0.066041
+0.0665323
+0.0670915
+0.067717
+0.0683488
+0.0665291
+0.0647324
+0.0629606
+0.0612159
+0.0595008
+0.0578177
+0.0561697
+0.0545599
+0.0529918
+0.0514692
+0.0499962
+0.0485773
+0.0472169
+0.0459173
+0.0443573
+0.0428526
+0.0414091
+0.0400335
+0.038733
+0.0375154
+0.0363891
+0.035355
+0.0344102
+0.0335819
+0.0328789
+0.0323094
+0.0318806
+0.0315982
+0.0314662
+0.0314715
+0.0316147
+0.0312014
+0.0308786
+0.030709
+0.0306953
+0.0308375
+0.0311337
+0.0315794
+0.0321684
+0.032297
+0.0305688
+0.0289034
+0.0273123
+0.0258012
+0.0243671
+0.0230523
+0.0218783
+0.0208688
+0.0200488
+0.0194294
+0.0190275
+0.0188397
+0.0188634
+0.019087
+0.0194697
+0.0200777
+0.0208931
+0.0218981
+0.0230424
+0.0242776
+0.0246963
+0.0251937
+0.0258595
+0.0266889
+0.0276674
+0.028754
+0.029938
+0.0312179
+0.0325949
+0.0340573
+0.0349221
+0.0340293
+0.033257
+0.0326139
+0.0320974
+0.0317052
+0.031461
+0.0313683
+0.0314177
+0.0316005
+0.0319328
+0.0324098
+0.0329989
+0.0677427
+0.0673861
+0.0670991
+0.0668826
+0.0667374
+0.0666639
+0.0666624
+0.0667328
+0.0668748
+0.0670749
+0.0673452
+0.0676853
+0.0680943
+0.0685708
+0.0691135
+0.0697209
+0.0691579
+0.0673601
+0.0655861
+0.063838
+0.062118
+0.0604284
+0.058772
+0.0571515
+0.0555702
+0.0540314
+0.0525386
+0.0510958
+0.0497078
+0.0483792
+0.0470344
+0.0455128
+0.0440475
+0.0426444
+0.04131
+0.040051
+0.0388747
+0.0377889
+0.0367879
+0.035881
+0.0350877
+0.0344157
+0.0338724
+0.0334639
+0.0331952
+0.0330698
+0.0330788
+0.0332151
+0.0328232
+0.0325165
+0.0323555
+0.0323425
+0.0324775
+0.0327589
+0.0331827
+0.0337438
+0.0336464
+0.0319912
+0.0304038
+0.0288901
+0.0274426
+0.0260989
+0.0248758
+0.0237919
+0.0228671
+0.0221213
+0.0215553
+0.0211968
+0.0210255
+0.0210488
+0.0212472
+0.0215917
+0.0221414
+0.0228834
+0.0238045
+0.0248765
+0.0259541
+0.0262958
+0.0267737
+0.0274011
+0.0281852
+0.0291134
+0.0301525
+0.0312705
+0.032498
+0.033823
+0.0352344
+0.0367224
+0.0360547
+0.0353267
+0.034722
+0.0342309
+0.0338634
+0.0336349
+0.0335481
+0.0335952
+0.0337662
+0.0340774
+0.0345251
+0.0350852
+0.0698136
+0.0694676
+0.0691892
+0.0689793
+0.0688386
+0.0687673
+0.0687658
+0.0688341
+0.0689719
+0.0691669
+0.069429
+0.069759
+0.0701559
+0.0706185
+0.0711456
+0.0717358
+0.0700262
+0.0682512
+0.066501
+0.0647776
+0.0630833
+0.0614203
+0.0597913
+0.0581992
+0.0566466
+0.0551373
+0.053675
+0.0522637
+0.0509075
+0.0496111
+0.0482227
+0.0467397
+0.0453142
+0.0439516
+0.042658
+0.04144
+0.0403043
+0.0392513
+0.0382775
+0.0374067
+0.0366464
+0.0360036
+0.0354845
+0.0350948
+0.0348387
+0.0347193
+0.0347288
+0.0348586
+0.034499
+0.0342073
+0.0340544
+0.034042
+0.0341703
+0.0344378
+0.0348412
+0.035376
+0.0350808
+0.0334966
+0.0319809
+0.0305227
+0.0291563
+0.0278952
+0.0267544
+0.0257497
+0.0248977
+0.0242114
+0.023693
+0.0233651
+0.0232122
+0.0232352
+0.023413
+0.0237262
+0.0242274
+0.0249073
+0.0257561
+0.0267578
+0.0276733
+0.0279754
+0.0284347
+0.0290263
+0.0297676
+0.0306479
+0.031628
+0.0326957
+0.0338716
+0.0351448
+0.0365051
+0.0379433
+0.0380984
+0.0374102
+0.0368397
+0.0363712
+0.0360255
+0.0358108
+0.0357293
+0.0357744
+0.035935
+0.0362275
+0.036649
+0.0371834
+0.0718916
+0.0715556
+0.0712854
+0.0710817
+0.0709451
+0.070876
+0.0708745
+0.0709408
+0.0710745
+0.0712648
+0.0715193
+0.0718397
+0.0722251
+0.0726745
+0.0731868
+0.0727266
+0.0709516
+0.0692003
+0.0674747
+0.0657769
+0.0641089
+0.0624729
+0.0608717
+0.0593081
+0.0577853
+0.0563066
+0.0548755
+0.0534958
+0.0521717
+0.0509074
+0.0494788
+0.0480346
+0.0466486
+0.0453261
+0.0440729
+0.0428951
+0.0417989
+0.0407686
+0.0398319
+0.0389959
+0.0382672
+0.037652
+0.037156
+0.036784
+0.0365397
+0.0364258
+0.0364354
+0.0365591
+0.0362253
+0.0359477
+0.0358021
+0.0357903
+0.0359124
+0.036167
+0.0365514
+0.0370615
+0.0365902
+0.0350729
+0.0336061
+0.0322215
+0.0309303
+0.0297445
+0.0286773
+0.0277424
+0.0269534
+0.0263157
+0.0258395
+0.0255369
+0.0253996
+0.0254216
+0.0255813
+0.0258701
+0.0263305
+0.0269574
+0.0277435
+0.0286759
+0.0294403
+0.0297217
+0.0301601
+0.0307218
+0.0314231
+0.0322583
+0.0331827
+0.0342019
+0.0353276
+0.0365502
+0.0378601
+0.0392486
+0.0401576
+0.0395053
+0.0389639
+0.0385171
+0.0381909
+0.0379884
+0.0379116
+0.0379548
+0.0381062
+0.0383823
+0.0387803
+0.0392918
+0.0739761
+0.0736496
+0.0733871
+0.0731892
+0.0730566
+0.0729895
+0.0729881
+0.0730524
+0.0731823
+0.0733682
+0.0736153
+0.0739266
+0.0743012
+0.0747382
+0.0752364
+0.0736832
+0.0719317
+0.0702049
+0.0685046
+0.0668325
+0.0651911
+0.0635828
+0.0620102
+0.0604761
+0.0589835
+0.0575355
+0.0561358
+0.0547879
+0.0534957
+0.0522579
+0.0507982
+0.0493926
+0.0480458
+0.0467629
+0.0455493
+0.0444106
+0.043338
+0.0423449
+0.0414438
+0.040641
+0.0399423
+0.0393533
+0.038879
+0.0385236
+0.0382905
+0.0381818
+0.0381913
+0.0383094
+0.0379995
+0.0377349
+0.0375963
+0.0375851
+0.0377014
+0.037944
+0.0383105
+0.0387975
+0.0381658
+0.0366919
+0.0352924
+0.0339767
+0.0327547
+0.0316374
+0.0306362
+0.0297629
+0.0290289
+0.028433
+0.0279929
+0.0277116
+0.0275875
+0.0276078
+0.0277499
+0.0280212
+0.0284467
+0.0290279
+0.0297595
+0.0306305
+0.0312583
+0.0315235
+0.0319372
+0.032475
+0.0331393
+0.0339323
+0.0348059
+0.0357789
+0.0368565
+0.0380299
+0.0392905
+0.0406302
+0.0420414
+0.0416102
+0.0410913
+0.0406678
+0.040359
+0.0401674
+0.0400948
+0.0401364
+0.0402796
+0.0405408
+0.0409179
+0.0414074
+0.0760665
+0.0757491
+0.0754939
+0.0753016
+0.0751726
+0.0751074
+0.075106
+0.0751685
+0.0752948
+0.0754765
+0.0757168
+0.0760195
+0.0763838
+0.0768089
+0.0764428
+0.0746918
+0.0729643
+0.0712621
+0.0695873
+0.0679418
+0.0663278
+0.0647478
+0.0632042
+0.0616998
+0.0602375
+0.0588204
+0.057452
+0.0561357
+0.0548753
+0.0535985
+0.0521764
+0.0508089
+0.0495006
+0.0482564
+0.0470813
+0.0459727
+0.044931
+0.0439738
+0.0431068
+0.0423356
+0.0416653
+0.041101
+0.0406471
+0.0403073
+0.0400846
+0.0399808
+0.0399902
+0.040103
+0.0398153
+0.0395628
+0.0394306
+0.0394199
+0.0395308
+0.0397622
+0.0401122
+0.0405775
+0.0397797
+0.0383678
+0.0370317
+0.0357799
+0.0346217
+0.0335665
+0.0326246
+0.0318059
+0.031119
+0.0305607
+0.0301517
+0.0298886
+0.0297758
+0.0297946
+0.0299211
+0.030178
+0.0305735
+0.031115
+0.0317985
+0.0326152
+0.0331215
+0.0333719
+0.0337629
+0.0342721
+0.0349022
+0.035648
+0.0364885
+0.0374177
+0.0384494
+0.0395756
+0.0407885
+0.0420805
+0.0434446
+0.0437236
+0.0432249
+0.0428226
+0.0425294
+0.0423477
+0.0422788
+0.0423189
+0.0424547
+0.0427027
+0.0430608
+0.0435263
+0.0781625
+0.0778536
+0.0776053
+0.0774182
+0.0772928
+0.0772294
+0.077228
+0.0772888
+0.0774116
+0.0775893
+0.0778231
+0.0781176
+0.0784722
+0.0788861
+0.0774769
+0.0757495
+0.0740465
+0.0723698
+0.0707212
+0.0691027
+0.0675166
+0.065965
+0.0644506
+0.0629759
+0.0615439
+0.0601577
+0.0588203
+0.0575353
+0.0563063
+0.0549937
+0.0536086
+0.0522786
+0.0510081
+0.0498015
+0.048662
+0.0475783
+0.0465725
+0.0456498
+0.0448153
+0.0440739
+0.0434305
+0.0428894
+0.0424546
+0.0421294
+0.0419164
+0.0418171
+0.0418265
+0.0419344
+0.041667
+0.0414259
+0.0412996
+0.0412894
+0.0413953
+0.0416164
+0.0419508
+0.042396
+0.0414465
+0.0400933
+0.0388166
+0.0376243
+0.0365246
+0.035526
+0.0346374
+0.0338674
+0.0332191
+0.0326968
+0.0323147
+0.0320675
+0.0319643
+0.031982
+0.032095
+0.0323394
+0.0327086
+0.0332154
+0.0338565
+0.0346247
+0.0350226
+0.0352595
+0.0356298
+0.0361127
+0.0367113
+0.0374085
+0.0382142
+0.0391106
+0.0400988
+0.0411799
+0.0423468
+0.0435927
+0.0449109
+0.0458442
+0.045364
+0.0449808
+0.0447018
+0.0445289
+0.0444634
+0.0445022
+0.0446314
+0.0448673
+0.0452083
+0.0456519
+0.0802635
+0.0799627
+0.079721
+0.0795389
+0.0794168
+0.0793551
+0.0793538
+0.079413
+0.0795324
+0.0797064
+0.079934
+0.0802208
+0.0805661
+0.0802814
+0.0785581
+0.076855
+0.075177
+0.0735261
+0.071904
+0.0703128
+0.0687545
+0.0672316
+0.0657463
+0.0643014
+0.0628996
+0.0615438
+0.0602373
+0.0589832
+0.0577849
+0.0564395
+0.0550907
+0.0537974
+0.0525636
+0.0513936
+0.0502772
+0.0492291
+0.0482577
+0.0473678
+0.0465641
+0.045851
+0.0452329
+0.0447136
+0.0442968
+0.0439852
+0.0437811
+0.0436861
+0.0436955
+0.0437987
+0.0435503
+0.0433196
+0.0431989
+0.0431891
+0.0432904
+0.0435018
+0.0438219
+0.044225
+0.0431585
+0.0418623
+0.0406413
+0.0395041
+0.0384581
+0.0375111
+0.0366706
+0.0359442
+0.0353303
+0.0348396
+0.0344813
+0.0342479
+0.0341513
+0.0341686
+0.0342711
+0.0345044
+0.0348507
+0.0353267
+0.0359302
+0.0366549
+0.0369558
+0.0371804
+0.0375317
+0.0379905
+0.0385523
+0.0392124
+0.0399817
+0.0408503
+0.0417973
+0.0428356
+0.0439586
+0.04516
+0.0464337
+0.0477739
+0.0475078
+0.047142
+0.0468759
+0.0467111
+0.0466486
+0.0466862
+0.0468094
+0.0470344
+0.0473597
+0.0477834
+0.0823691
+0.0820761
+0.0818406
+0.0816632
+0.0815444
+0.0814842
+0.081483
+0.0815406
+0.081657
+0.0818274
+0.0820491
+0.0823285
+0.082665
+0.0813853
+0.0796843
+0.0780057
+0.0763531
+0.0747281
+0.0731327
+0.0715688
+0.0700385
+0.0685441
+0.0670879
+0.0656725
+0.0643006
+0.062975
+0.0616988
+0.060475
+0.0592971
+0.057932
+0.0566189
+0.0553612
+0.0541631
+0.0530197
+0.0519346
+0.0509206
+0.0499821
+0.0491235
+0.0483489
+0.0476625
+0.0470682
+0.0465694
+0.0461693
+0.0458705
+0.0456749
+0.0455838
+0.0455931
+0.045692
+0.0454611
+0.0452402
+0.0451246
+0.0451152
+0.0452122
+0.0454147
+0.0457214
+0.0458759
+0.0448759
+0.0436696
+0.0425006
+0.0414144
+0.040418
+0.0395179
+0.038721
+0.0380337
+0.0374505
+0.036988
+0.0366507
+0.0364296
+0.0363387
+0.0363525
+0.0364488
+0.0366726
+0.0369985
+0.0374472
+0.0380171
+0.0387027
+0.0389108
+0.039129
+0.039463
+0.0399002
+0.0404239
+0.0410539
+0.0417894
+0.0426212
+0.0435298
+0.0445276
+0.0456089
+0.0467679
+0.0479989
+0.0492886
+0.0496557
+0.0493059
+0.0490515
+0.048894
+0.0488343
+0.0488708
+0.0489885
+0.0492035
+0.0495146
+0.04992
+0.0844791
+0.0841934
+0.0839639
+0.083791
+0.0836752
+0.0836166
+0.0836153
+0.0836715
+0.0837849
+0.0839519
+0.084168
+0.0844404
+0.0842283
+0.0825259
+0.080847
+0.079193
+0.0775657
+0.0759667
+0.0743979
+0.0728611
+0.0713585
+0.0698923
+0.0684648
+0.0670785
+0.0657359
+0.0644399
+0.0631932
+0.061999
+0.0607984
+0.0594678
+0.0581893
+0.0569664
+0.0557995
+0.0546818
+0.0536302
+0.0526489
+0.0517418
+0.0509129
+0.0501659
+0.0495048
+0.0489328
+0.0484532
+0.0480688
+0.0477818
+0.0475941
+0.0475067
+0.0475159
+0.0476109
+0.0473961
+0.0471842
+0.0470735
+0.0470645
+0.0471574
+0.0473516
+0.0476458
+0.0475704
+0.0466329
+0.0455106
+0.0443901
+0.0433513
+0.0424004
+0.0415433
+0.040786
+0.0401309
+0.0395785
+0.0391411
+0.0388215
+0.0386122
+0.0385265
+0.0385372
+0.0386281
+0.038842
+0.039151
+0.0395753
+0.040115
+0.0407288
+0.0408817
+0.0410917
+0.0414098
+0.0418302
+0.0423261
+0.0429282
+0.0436322
+0.0444288
+0.0453011
+0.0462607
+0.0473025
+0.0484209
+0.049611
+0.0508512
+0.0518072
+0.051472
+0.0512283
+0.0510775
+0.0510205
+0.0510559
+0.0511686
+0.0513745
+0.0516725
+0.0520611
+0.0874615
+0.0860604
+0.0846639
+0.0832418
+0.0818536
+0.0805011
+0.0791548
+0.0777817
+0.0763998
+0.0750564
+0.0737536
+0.0724936
+0.0712786
+0.0700502
+0.0688282
+0.0676093
+0.0664338
+0.0652235
+0.0640304
+0.062891
+0.0617711
+0.0607016
+0.0596387
+0.0585831
+0.0575916
+0.0566674
+0.0558106
+0.0550058
+0.0542174
+0.0533077
+0.0524738
+0.051693
+0.0509389
+0.0502691
+0.0496523
+0.0490852
+0.04861
+0.0482161
+0.0478748
+0.0475879
+0.0470343
+0.0465552
+0.0461685
+0.0458697
+0.0456296
+0.0454772
+0.0454302
+0.0454886
+0.0456361
+0.0458657
+0.0461959
+0.0466014
+0.0470911
+0.0476765
+0.0483541
+0.0490939
+0.049889
+0.0507663
+0.0517216
+0.0527506
+0.0524804
+0.0513138
+0.0502157
+0.0491907
+0.0482435
+0.0473787
+0.0466009
+0.045909
+0.0453073
+0.0448048
+0.0444048
+0.0441101
+0.0439228
+0.0438443
+0.043872
+0.0439909
+0.0442182
+0.0445521
+0.0449904
+0.04553
+0.0461658
+0.0468876
+0.0476991
+0.0485831
+0.049476
+0.0504325
+0.0514619
+0.0525625
+0.0537299
+0.0549599
+0.0562484
+0.0575873
+0.0589746
+0.0603846
+0.0618106
+0.0632803
+0.0647654
+0.0662867
+0.0678442
+0.0694129
+0.0858092
+0.0843806
+0.0829853
+0.0815818
+0.0801649
+0.0787834
+0.0774364
+0.0760949
+0.0747094
+0.073335
+0.072001
+0.0707098
+0.0694637
+0.0682599
+0.0670283
+0.0658062
+0.0646045
+0.063427
+0.0622161
+0.0610428
+0.0599151
+0.0588118
+0.0577693
+0.0566903
+0.055665
+0.0547083
+0.053823
+0.0530056
+0.0522232
+0.0513498
+0.0504835
+0.0496935
+0.0489195
+0.0482216
+0.0475968
+0.0470108
+0.0465144
+0.0461127
+0.0457557
+0.0455015
+0.0450221
+0.0445213
+0.0441207
+0.0438079
+0.0435786
+0.0434191
+0.0433698
+0.043431
+0.0435891
+0.0438294
+0.0441749
+0.0445989
+0.0451103
+0.045721
+0.0464272
+0.0471819
+0.0480088
+0.0489198
+0.0499104
+0.050976
+0.0506922
+0.0494834
+0.0483438
+0.0472782
+0.0462919
+0.0453899
+0.0445774
+0.0438574
+0.0432272
+0.0427002
+0.0422803
+0.0419707
+0.0417738
+0.0416913
+0.0417163
+0.0418414
+0.0420803
+0.0424311
+0.042891
+0.0434567
+0.0441224
+0.0448771
+0.04572
+0.046602
+0.0475255
+0.0485177
+0.0495869
+0.0507282
+0.0519369
+0.0532083
+0.0545354
+0.0559126
+0.0573203
+0.058739
+0.060204
+0.0616875
+0.0632069
+0.0647616
+0.0663308
+0.0677623
+0.0841609
+0.0827247
+0.081301
+0.079912
+0.0785009
+0.0770896
+0.0757154
+0.0743702
+0.0730367
+0.0716392
+0.0702731
+0.0689495
+0.067671
+0.0664401
+0.0652286
+0.0640137
+0.0627916
+0.061609
+0.0604267
+0.0592179
+0.0580667
+0.0569435
+0.0558675
+0.0548196
+0.0537587
+0.0527675
+0.0518499
+0.0510055
+0.05021
+0.0494113
+0.0485104
+0.0476917
+0.0469155
+0.0461873
+0.045553
+0.0449473
+0.0444279
+0.0440115
+0.0436436
+0.043377
+0.0429878
+0.042503
+0.0420861
+0.0417592
+0.0415418
+0.0413745
+0.0413228
+0.0413871
+0.0415568
+0.0418088
+0.0421708
+0.0426148
+0.0431497
+0.0437878
+0.0445247
+0.0452952
+0.0461559
+0.0471027
+0.0481308
+0.0492321
+0.0489367
+0.0476835
+0.0464997
+0.0453909
+0.0443626
+0.0434206
+0.0425705
+0.0418177
+0.0411563
+0.0406025
+0.0401606
+0.0398345
+0.039627
+0.03954
+0.0395646
+0.0396964
+0.0399481
+0.0403175
+0.0408012
+0.0413955
+0.0420938
+0.0428842
+0.0437585
+0.0446404
+0.0455939
+0.0466272
+0.0477387
+0.0489232
+0.0501754
+0.0514891
+0.0528549
+0.0542598
+0.0556703
+0.05713
+0.0586117
+0.060129
+0.0616805
+0.0632503
+0.0646891
+0.0661232
+0.0825344
+0.0810755
+0.0796414
+0.0782229
+0.0768406
+0.0754215
+0.0740163
+0.0726499
+0.0713069
+0.069971
+0.0685716
+0.0672145
+0.0659023
+0.0646378
+0.0634237
+0.062204
+0.0610034
+0.0597855
+0.0586207
+0.0574187
+0.0562306
+0.0550991
+0.0539862
+0.0529401
+0.0518749
+0.0508469
+0.049894
+0.0490188
+0.04821
+0.0474275
+0.0465569
+0.0457047
+0.0449289
+0.044168
+0.0435042
+0.042896
+0.0423519
+0.0419149
+0.0415397
+0.0412595
+0.0409464
+0.0405027
+0.0400652
+0.0397256
+0.0394996
+0.0393457
+0.0392913
+0.0393589
+0.0395414
+0.0398061
+0.0401862
+0.040652
+0.0412124
+0.04188
+0.0426342
+0.0434371
+0.0443338
+0.0453188
+0.046386
+0.0475237
+0.0472176
+0.0459174
+0.0446869
+0.043532
+0.0424587
+0.0414734
+0.0405826
+0.0397923
+0.0390966
+0.0385131
+0.038047
+0.0377026
+0.0374833
+0.0373913
+0.0374173
+0.0375567
+0.0378227
+0.0382125
+0.0387226
+0.0393482
+0.0400823
+0.0409037
+0.0417783
+0.0426947
+0.0436867
+0.0447641
+0.0459208
+0.0471509
+0.0484489
+0.0498021
+0.0512038
+0.052605
+0.0540587
+0.0555384
+0.0570533
+0.0586013
+0.0601716
+0.0616178
+0.0630462
+0.0645168
+0.0809223
+0.0794463
+0.0779911
+0.0765592
+0.0751464
+0.0737716
+0.0723436
+0.0709451
+0.0695874
+0.0682467
+0.0668986
+0.0655069
+0.0641598
+0.0628602
+0.061611
+0.0604139
+0.0591869
+0.0579874
+0.0567894
+0.055623
+0.0544208
+0.053256
+0.0521292
+0.0510456
+0.050016
+0.0489491
+0.0479585
+0.0470491
+0.0462199
+0.0454361
+0.0446253
+0.0437356
+0.0429353
+0.0421658
+0.04147
+0.0408528
+0.0402881
+0.0398284
+0.0394452
+0.03915
+0.0389211
+0.0384616
+0.0380628
+0.0377097
+0.0374715
+0.0373352
+0.0372779
+0.0373491
+0.0375456
+0.0378243
+0.0382241
+0.0387136
+0.0393017
+0.0400012
+0.0407724
+0.0416113
+0.0425465
+0.0435719
+0.0446762
+0.0458563
+0.045539
+0.0441895
+0.0429095
+0.0417053
+0.0405837
+0.0395518
+0.0386167
+0.0377852
+0.0370519
+0.0364357
+0.0359427
+0.0355779
+0.0353454
+0.0352478
+0.0352754
+0.0354232
+0.0357051
+0.0361178
+0.0366571
+0.0373173
+0.0380847
+0.0389439
+0.0398201
+0.0407696
+0.0418074
+0.0429319
+0.0441366
+0.0454151
+0.0467554
+0.0481532
+0.0495439
+0.0509907
+0.052468
+0.0539802
+0.0555241
+0.057095
+0.058544
+0.0599713
+0.0614375
+0.0629457
+0.0793037
+0.0778366
+0.0763589
+0.0749078
+0.0734784
+0.0720717
+0.0706992
+0.0692675
+0.0678763
+0.0665282
+0.06519
+0.0638287
+0.0624454
+0.0611094
+0.0598237
+0.0585918
+0.0573922
+0.0561786
+0.0549805
+0.0538026
+0.052637
+0.0514348
+0.0502963
+0.0491751
+0.0481247
+0.0470766
+0.0460458
+0.0450979
+0.0442353
+0.0434372
+0.0426552
+0.0417885
+0.0409543
+0.0401833
+0.0394525
+0.0388249
+0.0382384
+0.0377538
+0.0373618
+0.03705
+0.036866
+0.0364299
+0.0360718
+0.0357144
+0.0354627
+0.0353454
+0.0352855
+0.0353608
+0.0355711
+0.0358668
+0.0362882
+0.0368036
+0.0374217
+0.0381557
+0.0389449
+0.0398223
+0.0407986
+0.0418642
+0.04301
+0.0442346
+0.0439055
+0.0425042
+0.0411718
+0.0399153
+0.0387419
+0.0376596
+0.0366762
+0.0357997
+0.0350248
+0.0343723
+0.0338492
+0.0334617
+0.0332144
+0.0331105
+0.0331399
+0.0332972
+0.0335969
+0.0340352
+0.0346069
+0.0353055
+0.0361048
+0.0369743
+0.0378812
+0.0388727
+0.0399597
+0.0411348
+0.0423906
+0.0437158
+0.0451042
+0.0464876
+0.0479266
+0.049401
+0.0509101
+0.0524494
+0.0540209
+0.0554729
+0.056899
+0.0583601
+0.0598657
+0.0614125
+0.0777131
+0.0762153
+0.0747518
+0.0732725
+0.0718258
+0.070399
+0.0689992
+0.0676193
+0.0661935
+0.0648103
+0.0634715
+0.0621363
+0.0607617
+0.0593877
+0.058064
+0.0567939
+0.055581
+0.0543729
+0.0531806
+0.0519844
+0.0508239
+0.0496435
+0.0484629
+0.0473321
+0.0462399
+0.0452227
+0.044159
+0.0431696
+0.0422708
+0.0414578
+0.0406834
+0.0398667
+0.0389914
+0.0382149
+0.0374545
+0.0368
+0.0362045
+0.035693
+0.0352913
+0.0349611
+0.034766
+0.0344178
+0.0340385
+0.0337432
+0.0334768
+0.0333525
+0.0333181
+0.0333978
+0.0336204
+0.0339378
+0.0343828
+0.0349265
+0.0355772
+0.0363467
+0.0371568
+0.0380754
+0.0390952
+0.0402009
+0.0413927
+0.0426637
+0.0423225
+0.0408669
+0.0394793
+0.0381671
+0.0369382
+0.0358014
+0.0347655
+0.0338395
+0.0330187
+0.0323257
+0.031769
+0.0313557
+0.0310917
+0.0309807
+0.0310121
+0.0311801
+0.0314999
+0.031967
+0.032575
+0.0333118
+0.0341506
+0.0350215
+0.0359654
+0.0370082
+0.0381484
+0.0393776
+0.040685
+0.0420594
+0.0434372
+0.0448671
+0.0463382
+0.0478431
+0.0493776
+0.0509496
+0.052405
+0.0538296
+0.055285
+0.0567876
+0.0583338
+0.0598904
+0.0761523
+0.0746232
+0.0731278
+0.0716668
+0.0701871
+0.0687453
+0.0673214
+0.065929
+0.0645411
+0.0631218
+0.0617476
+0.0604116
+0.059085
+0.057698
+0.0563345
+0.0550245
+0.0537719
+0.0525786
+0.0513629
+0.0501937
+0.0489946
+0.04785
+0.0466603
+0.0455078
+0.0443832
+0.0433274
+0.0423014
+0.0412676
+0.0403263
+0.03948
+0.0386935
+0.0379152
+0.0370541
+0.0362412
+0.0354792
+0.0347876
+0.0341824
+0.0336484
+0.0332363
+0.0328854
+0.032678
+0.032399
+0.032026
+0.0317694
+0.0315181
+0.031386
+0.031372
+0.0314618
+0.0316979
+0.0320308
+0.0325019
+0.033088
+0.0337742
+0.0345634
+0.0354138
+0.0363765
+0.0374374
+0.0385902
+0.0398302
+0.0411495
+0.0407956
+0.0392835
+0.0378379
+0.0364667
+0.0351785
+0.0339828
+0.0328897
+0.0319094
+0.0310375
+0.0302993
+0.0297046
+0.0292622
+0.0289791
+0.0288599
+0.0288936
+0.0290739
+0.0294166
+0.0299163
+0.0305651
+0.0313367
+0.0321987
+0.0330928
+0.0340827
+0.0351813
+0.0363789
+0.0376653
+0.039023
+0.0403942
+0.0418133
+0.0432804
+0.044777
+0.0463093
+0.0478765
+0.0493408
+0.0507637
+0.0522127
+0.0537119
+0.0552573
+0.0568158
+0.0584097
+0.0746047
+0.0730621
+0.0715341
+0.0700413
+0.0685791
+0.0671028
+0.0656664
+0.0642458
+0.0628616
+0.0614649
+0.0600528
+0.0586886
+0.0573558
+0.0560366
+0.0546381
+0.0532864
+0.051992
+0.050759
+0.0495754
+0.0483642
+0.0471961
+0.0460176
+0.0448815
+0.0436932
+0.0425582
+0.041456
+0.0404379
+0.0393955
+0.0384084
+0.0375227
+0.0367194
+0.0359504
+0.0351465
+0.0342907
+0.0335307
+0.032798
+0.0321815
+0.0316217
+0.0311882
+0.0308257
+0.0306043
+0.0304003
+0.0300289
+0.0297647
+0.0295918
+0.0294511
+0.0294431
+0.0295481
+0.0297994
+0.0301601
+0.03066
+0.0312949
+0.0320195
+0.032829
+0.0337232
+0.0347305
+0.0358365
+0.0370391
+0.0383293
+0.0396986
+0.0393316
+0.0377609
+0.0362547
+0.0348211
+0.0334696
+0.0322106
+0.0310552
+0.030015
+0.0290864
+0.0282973
+0.0276596
+0.0271839
+0.026879
+0.0267505
+0.0267868
+0.0269811
+0.0273501
+0.0278868
+0.0285816
+0.0293921
+0.030255
+0.0311905
+0.0322389
+0.0333983
+0.0346575
+0.0359971
+0.0373602
+0.0387654
+0.0402278
+0.0417157
+0.0432453
+0.0448013
+0.0462812
+0.0476974
+0.0491436
+0.0506389
+0.0521833
+0.0537438
+0.0553392
+0.0569444
+0.0730708
+0.0715149
+0.0699726
+0.0684458
+0.0669558
+0.0654924
+0.0640199
+0.0625894
+0.0611724
+0.0597974
+0.0583911
+0.056987
+0.0556338
+0.0543033
+0.052978
+0.0515829
+0.0502445
+0.0489676
+0.0477567
+0.0465646
+0.0453787
+0.0442065
+0.0430577
+0.0419145
+0.0407455
+0.0396173
+0.0385555
+0.037558
+0.0365212
+0.0355893
+0.0347646
+0.0339922
+0.0332212
+0.0323685
+0.0315812
+0.0308357
+0.0301968
+0.0296184
+0.0291551
+0.0287853
+0.0285481
+0.0284292
+0.0280359
+0.0277866
+0.027646
+0.0275546
+0.0275531
+0.0276754
+0.0279436
+0.0283353
+0.0288668
+0.0295515
+0.0303087
+0.0311521
+0.032093
+0.0331436
+0.0343008
+0.0355554
+0.0368975
+0.038318
+0.0378992
+0.0363059
+0.0347374
+0.0332385
+0.0318199
+0.0304928
+0.0292697
+0.0281636
+0.0271718
+0.0263254
+0.0256387
+0.0251248
+0.0247945
+0.0246552
+0.0246946
+0.0249053
+0.0253045
+0.0258837
+0.026616
+0.0274666
+0.0283419
+0.0293286
+0.0304412
+0.0316664
+0.0329846
+0.0343376
+0.035723
+0.037176
+0.0386578
+0.0401823
+0.0417252
+0.0432169
+0.0446326
+0.0460783
+0.0475691
+0.0491124
+0.050675
+0.0522693
+0.053877
+0.0555246
+0.071571
+0.0699818
+0.0684258
+0.066884
+0.0653584
+0.0638715
+0.0624069
+0.0609385
+0.0595146
+0.0581017
+0.0567368
+0.05532
+0.0539249
+0.0525842
+0.05125
+0.0499173
+0.048533
+0.0472099
+0.0459531
+0.0447655
+0.043566
+0.0424095
+0.041233
+0.0401187
+0.0389554
+0.0378132
+0.0367023
+0.0356841
+0.0346698
+0.0336867
+0.0328184
+0.032028
+0.0312684
+0.0304826
+0.0296452
+0.0289063
+0.0282237
+0.0276387
+0.0271466
+0.0267687
+0.0265116
+0.0264026
+0.0260709
+0.0258178
+0.0257147
+0.0256637
+0.0257063
+0.0258505
+0.0261397
+0.0265659
+0.027132
+0.0278594
+0.0286624
+0.0295425
+0.0305277
+0.0316289
+0.0328395
+0.0341478
+0.0355431
+0.0370156
+0.0365311
+0.0348753
+0.0332814
+0.0317283
+0.030239
+0.0288392
+0.0275428
+0.0263643
+0.0253021
+0.0243909
+0.023648
+0.0230899
+0.0227301
+0.022578
+0.022621
+0.0228508
+0.0232854
+0.0239135
+0.0246884
+0.0255386
+0.0264609
+0.0275151
+0.0286981
+0.0299896
+0.0313276
+0.032691
+0.0341325
+0.0356036
+0.0371167
+0.0386526
+0.0401574
+0.0415723
+0.0430149
+0.0445033
+0.0460451
+0.04761
+0.049203
+0.0508133
+0.0524656
+0.0541561
+0.0700234
+0.0684845
+0.0668937
+0.0653376
+0.0637962
+0.062272
+0.0607886
+0.0593226
+0.0578589
+0.0564401
+0.055034
+0.0536805
+0.052252
+0.0508672
+0.0495406
+0.0482024
+0.0468615
+0.0454897
+0.044184
+0.0429505
+0.0417895
+0.0405823
+0.0394455
+0.0382792
+0.037171
+0.0360197
+0.0348881
+0.0338198
+0.0328393
+0.0318211
+0.0309027
+0.0300849
+0.0293492
+0.0285958
+0.0277471
+0.0269951
+0.0262851
+0.0256886
+0.0251685
+0.0247817
+0.0244939
+0.024374
+0.0241378
+0.0238813
+0.0237846
+0.0237777
+0.0238991
+0.0240777
+0.0243993
+0.0248637
+0.0254677
+0.0262302
+0.0270911
+0.0280103
+0.0290418
+0.0301972
+0.031463
+0.0328262
+0.0342754
+0.0358
+0.0352462
+0.033527
+0.0318657
+0.0302717
+0.0287382
+0.0272615
+0.0258861
+0.0246285
+0.023488
+0.0225034
+0.021696
+0.0210863
+0.0206916
+0.0205244
+0.0205718
+0.0208242
+0.0213001
+0.0219733
+0.0228048
+0.0236515
+0.0246312
+0.0257604
+0.0270178
+0.0283299
+0.0296727
+0.0310997
+0.0325578
+0.0340547
+0.0355844
+0.0371043
+0.0385082
+0.0399497
+0.0414423
+0.0429822
+0.0445496
+0.046141
+0.047754
+0.0494115
+0.0511092
+0.0528431
+0.0684547
+0.066933
+0.0653991
+0.0638066
+0.0622504
+0.0607095
+0.0591869
+0.0577073
+0.0562399
+0.0547814
+0.0533669
+0.05197
+0.0506186
+0.0491878
+0.0478146
+0.0464867
+0.0451617
+0.0438116
+0.0424543
+0.041169
+0.0399616
+0.0387929
+0.037617
+0.0364786
+0.03535
+0.0342385
+0.0331019
+0.0319923
+0.0309753
+0.0299995
+0.0290235
+0.0281559
+0.0274092
+0.0266585
+0.0258953
+0.0250878
+0.0243892
+0.0237788
+0.0232286
+0.0228319
+0.0225065
+0.0223759
+0.0222358
+0.0219817
+0.0218945
+0.0219467
+0.0221031
+0.022379
+0.0227368
+0.0232293
+0.0238884
+0.0246801
+0.0255932
+0.0265643
+0.0276498
+0.028861
+0.0301828
+0.0316014
+0.0331042
+0.0346803
+0.0340539
+0.0322712
+0.0305417
+0.0288746
+0.0272797
+0.0257724
+0.0243141
+0.0229706
+0.0217432
+0.0206757
+0.019794
+0.0191237
+0.0186876
+0.0185024
+0.0185549
+0.0188343
+0.0193592
+0.020078
+0.020906
+0.021806
+0.022865
+0.0240771
+0.0253564
+0.0266727
+0.0280813
+0.0295228
+0.030999
+0.0325219
+0.0340592
+0.0354484
+0.0368901
+0.0383789
+0.0399248
+0.0414948
+0.0430841
+0.0447001
+0.0463632
+0.0480687
+0.0498121
+0.0515897
+0.0669208
+0.0653636
+0.0638431
+0.0623103
+0.0607205
+0.0591643
+0.057624
+0.0561033
+0.054628
+0.0531589
+0.0517064
+0.0502967
+0.0489102
+0.0475501
+0.0461282
+0.0447683
+0.0434364
+0.0421294
+0.040769
+0.0394287
+0.0381672
+0.0369887
+0.0358125
+0.0346731
+0.033535
+0.0324417
+0.0313379
+0.030213
+0.029138
+0.0281728
+0.027191
+0.0262681
+0.0254869
+0.0247565
+0.0240587
+0.0232305
+0.0225286
+0.0218664
+0.0213368
+0.0209201
+0.0205605
+0.0204175
+0.0203874
+0.0201209
+0.0200515
+0.0201585
+0.020358
+0.020725
+0.0211595
+0.021686
+0.0223915
+0.0232334
+0.0242012
+0.0252259
+0.0263665
+0.0276341
+0.0290118
+0.0304849
+0.0320401
+0.0336661
+0.0329641
+0.0311191
+0.0293217
+0.027581
+0.0259065
+0.0243143
+0.0228214
+0.0214087
+0.0200861
+0.0189254
+0.0179579
+0.0172162
+0.0167305
+0.0165233
+0.0165821
+0.0168942
+0.017471
+0.018249
+0.0190645
+0.0200303
+0.0211782
+0.0224166
+0.0236972
+0.0250823
+0.0265025
+0.0279527
+0.0294668
+0.0310247
+0.0323959
+0.0338374
+0.0353191
+0.0368714
+0.0384469
+0.0400336
+0.0416527
+0.043322
+0.0450361
+0.04679
+0.0485625
+0.0503219
+0.0653762
+0.0638306
+0.0622732
+0.060754
+0.0592223
+0.0576358
+0.0560796
+0.05454
+0.0530213
+0.0515509
+0.0500801
+0.0486343
+0.0472301
+0.0458556
+0.0444857
+0.043074
+0.0417297
+0.0403933
+0.0391074
+0.0377354
+0.0364153
+0.0351821
+0.0340382
+0.032853
+0.0317506
+0.0306102
+0.0295519
+0.0284538
+0.0273486
+0.0263359
+0.0253817
+0.0244309
+0.023589
+0.022906
+0.02215
+0.0214266
+0.0206787
+0.0199963
+0.0194649
+0.0190066
+0.0186687
+0.0185111
+0.0184985
+0.0183202
+0.0182808
+0.0184086
+0.018692
+0.0191126
+0.0196721
+0.0202624
+0.0210157
+0.0219105
+0.0229342
+0.0240131
+0.0252086
+0.0265315
+0.0279637
+0.0294891
+0.0310942
+0.0327672
+0.0319875
+0.0300826
+0.0282193
+0.026406
+0.0246519
+0.0229728
+0.0213865
+0.0199152
+0.01854
+0.0172757
+0.0162101
+0.0153844
+0.0148389
+0.0146049
+0.0146713
+0.0150232
+0.0156439
+0.0163971
+0.0172863
+0.0183445
+0.0195258
+0.0207541
+0.0221107
+0.0234943
+0.0249192
+0.0264217
+0.0280042
+0.029353
+0.0307908
+0.0322666
+0.0338171
+0.0354078
+0.036991
+0.0386133
+0.0402895
+0.0420131
+0.0437784
+0.0455401
+0.0473105
+0.0491135
+0.0638297
+0.0622844
+0.0607413
+0.0591836
+0.0576658
+0.0561355
+0.0545526
+0.0529964
+0.0514576
+0.0499413
+0.0484765
+0.0470038
+0.0455657
+0.044168
+0.0428073
+0.0414263
+0.0400267
+0.0387004
+0.0373594
+0.0360957
+0.0347132
+0.0334173
+0.032217
+0.0310808
+0.0299216
+0.0288289
+0.0277215
+0.0266814
+0.025607
+0.024541
+0.0236004
+0.0226433
+0.0217461
+0.0210253
+0.0202983
+0.0196814
+0.0188862
+0.0181979
+0.0176454
+0.0171521
+0.016795
+0.0166726
+0.0166316
+0.0166134
+0.0165615
+0.016706
+0.0170528
+0.0176051
+0.0182688
+0.0189554
+0.0197762
+0.0207352
+0.0218141
+0.0229458
+0.0241941
+0.0255695
+0.0270527
+0.0286267
+0.0302776
+0.0319933
+0.0311119
+0.0291648
+0.0272487
+0.0253662
+0.0235346
+0.0217696
+0.0200885
+0.0185143
+0.0170766
+0.0157585
+0.0145824
+0.0136587
+0.0130411
+0.0127742
+0.0128453
+0.0132457
+0.013909
+0.0146232
+0.0156117
+0.0167095
+0.0178629
+0.0191737
+0.0205006
+0.0219037
+0.0233906
+0.0249725
+0.0263229
+0.0277519
+0.0292236
+0.0307715
+0.0323781
+0.0339584
+0.0355841
+0.0372678
+0.0390018
+0.0407799
+0.0425286
+0.0443109
+0.0460953
+0.0478491
+0.0623163
+0.0607383
+0.0591933
+0.0576528
+0.0560949
+0.0545788
+0.05305
+0.0514712
+0.049915
+0.0483773
+0.0468637
+0.0454053
+0.0439305
+0.0425014
+0.0411103
+0.0397654
+0.0383731
+0.0369877
+0.0356603
+0.0343368
+0.0330688
+0.0317057
+0.0304395
+0.0292773
+0.0281353
+0.0270218
+0.0259269
+0.0248832
+0.0238679
+0.0228118
+0.02181
+0.0208879
+0.0199736
+0.0191863
+0.0185208
+0.0178482
+0.0171526
+0.0164884
+0.0158785
+0.0153861
+0.0149946
+0.0148574
+0.0148535
+0.0149201
+0.0148582
+0.0150633
+0.0154713
+0.01611
+0.0169604
+0.0178025
+0.0186931
+0.0197338
+0.0208646
+0.0220451
+0.0233417
+0.0247645
+0.026293
+0.02791
+0.0296008
+0.0313536
+0.0303621
+0.0283635
+0.0263954
+0.0244653
+0.0225752
+0.0207286
+0.0189555
+0.0172784
+0.0157281
+0.0143458
+0.0131179
+0.0120828
+0.01138
+0.0110732
+0.0111495
+0.0115899
+0.0121673
+0.0129772
+0.0140126
+0.0150543
+0.0162777
+0.017538
+0.0189108
+0.0203796
+0.0219494
+0.0233106
+0.0247215
+0.0261936
+0.0277376
+0.0293389
+0.0309388
+0.0325679
+0.0342597
+0.0360054
+0.0377702
+0.0395305
+0.0413257
+0.0430884
+0.0448528
+0.0466534
+0.0608422
+0.059227
+0.0576476
+0.056103
+0.0545655
+0.0530074
+0.051493
+0.049966
+0.0483919
+0.0468359
+0.0452994
+0.0437889
+0.042338
+0.040861
+0.0394423
+0.0380562
+0.0367297
+0.0353278
+0.0339594
+0.0326274
+0.031329
+0.0300564
+0.0287175
+0.0274882
+0.026374
+0.0252263
+0.0241421
+0.0230758
+0.0221062
+0.0211217
+0.0200869
+0.0191711
+0.0182728
+0.0174288
+0.0168087
+0.0160983
+0.0154806
+0.0148249
+0.0142154
+0.0137167
+0.0133044
+0.0131528
+0.013183
+0.0132151
+0.0132719
+0.0135161
+0.0140092
+0.0147393
+0.0156705
+0.0168081
+0.0177947
+0.0188891
+0.0200687
+0.0213322
+0.0226696
+0.024132
+0.0256983
+0.0273504
+0.0290679
+0.0308396
+0.029755
+0.0277127
+0.0256948
+0.0237076
+0.0217596
+0.0198621
+0.0180186
+0.0162451
+0.0145854
+0.0130829
+0.0117655
+0.0107029
+0.00992392
+0.0095705
+0.00964324
+0.0100157
+0.010593
+0.0115128
+0.0123833
+0.0134719
+0.0146315
+0.015957
+0.0173991
+0.0189503
+0.0203243
+0.0217081
+0.0231816
+0.0247195
+0.0263134
+0.0279363
+0.0295686
+0.0312692
+0.0330169
+0.0347752
+0.036549
+0.0383346
+0.0400954
+0.0418713
+0.0436849
+0.0454943
+0.0593832
+0.0577557
+0.0561386
+0.0545578
+0.0530136
+0.0514794
+0.0499211
+0.0484089
+0.0468839
+0.0453151
+0.0437594
+0.0422244
+0.0407178
+0.0392744
+0.0377962
+0.0363899
+0.0350096
+0.0337006
+0.0322925
+0.030945
+0.0296081
+0.0283407
+0.0270633
+0.0257552
+0.0245706
+0.0234916
+0.0223662
+0.021323
+0.0202803
+0.0193672
+0.018452
+0.0174746
+0.0166219
+0.0157802
+0.0150924
+0.0144642
+0.013879
+0.0132334
+0.0127117
+0.0122049
+0.0117622
+0.0116053
+0.0116514
+0.011589
+0.0116705
+0.0120368
+0.0125943
+0.0134376
+0.0144876
+0.0157304
+0.0171121
+0.018265
+0.0194824
+0.0208263
+0.0221918
+0.023673
+0.0252573
+0.0269267
+0.0286664
+0.0304614
+0.0292995
+0.027223
+0.0251659
+0.0231334
+0.0211324
+0.019173
+0.0172693
+0.0154419
+0.0137001
+0.012088
+0.0106483
+0.0094648
+0.00865499
+0.00824737
+0.0082444
+0.00860182
+0.00923544
+0.00991163
+0.0108085
+0.0118078
+0.0130505
+0.01446
+0.015989
+0.017377
+0.0187224
+0.0201938
+0.0217241
+0.023307
+0.0249495
+0.0265919
+0.0283019
+0.0300273
+0.0318
+0.033583
+0.0353619
+0.0371197
+0.0389081
+0.0407358
+0.0425291
+0.0443374
+0.0579702
+0.0563019
+0.0546705
+0.0530514
+0.051469
+0.0499253
+0.0483949
+0.0468364
+0.0453266
+0.043804
+0.0422415
+0.0406862
+0.0391531
+0.037651
+0.0362078
+0.0347373
+0.0333444
+0.0319729
+0.0306829
+0.0292703
+0.0279488
+0.0266068
+0.0253787
+0.0240969
+0.022829
+0.0217004
+0.0206259
+0.0195372
+0.0185205
+0.0175733
+0.0167299
+0.0158909
+0.0150084
+0.0142047
+0.01349
+0.0129531
+0.0123493
+0.0117667
+0.0113057
+0.0108939
+0.0103949
+0.010242
+0.0102462
+0.0100319
+0.0101072
+0.010446
+0.0110767
+0.0119588
+0.0130984
+0.0144528
+0.0159537
+0.0175748
+0.0191304
+0.0205059
+0.0218839
+0.0233843
+0.0249869
+0.0266732
+0.0284284
+0.0302376
+0.0290028
+0.0269034
+0.0248198
+0.0227564
+0.0207191
+0.0187164
+0.0167609
+0.0148711
+0.0130756
+0.0113877
+0.00988445
+0.00861043
+0.00771141
+0.00719027
+0.00715516
+0.00746175
+0.00780824
+0.00835097
+0.00914364
+0.01025
+0.0115667
+0.0130912
+0.0144572
+0.0157802
+0.0172367
+0.0187538
+0.0203282
+0.021976
+0.0236465
+0.0253369
+0.0270621
+0.0288428
+0.0306253
+0.0324084
+0.0341657
+0.0359676
+0.0377904
+0.039584
+0.0414029
+0.0432497
+0.0565842
+0.0548971
+0.0532226
+0.0515868
+0.0499654
+0.0483813
+0.0468383
+0.0453122
+0.0437536
+0.0422467
+0.0407269
+0.0391717
+0.0376171
+0.0360863
+0.0345898
+0.0331471
+0.031686
+0.0302992
+0.0289491
+0.0276678
+0.0262658
+0.0249449
+0.0236306
+0.0224535
+0.0211682
+0.0199547
+0.0188739
+0.0178162
+0.0167962
+0.0158287
+0.0149712
+0.0142102
+0.0134719
+0.0127169
+0.0120599
+0.0114969
+0.010985
+0.0105201
+0.0100944
+0.009774
+0.0093464
+0.00906354
+0.00886668
+0.00861326
+0.00870262
+0.00907682
+0.009721
+0.0106746
+0.0118501
+0.0132691
+0.0148603
+0.0165862
+0.0183874
+0.0202655
+0.0217926
+0.0232989
+0.024907
+0.0265984
+0.0283582
+0.0301716
+0.0288697
+0.0267598
+0.0246641
+0.0225865
+0.0205323
+0.0185095
+0.0165296
+0.0146099
+0.0127777
+0.0110443
+0.009487
+0.00819234
+0.00721438
+0.00662528
+0.00645638
+0.00633953
+0.00633517
+0.00675198
+0.00760795
+0.00879312
+0.0102774
+0.0116109
+0.0128856
+0.0143376
+0.0158222
+0.0173911
+0.0190419
+0.0207148
+0.0223935
+0.0241304
+0.0259142
+0.0276913
+0.0294744
+0.0312397
+0.0330558
+0.0348583
+0.0366584
+0.0384938
+0.0403538
+0.0422157
+0.0551934
+0.0535071
+0.0518268
+0.0501455
+0.0485049
+0.0468812
+0.0452951
+0.0437528
+0.0422318
+0.0406732
+0.0391696
+0.0376533
+0.0361068
+0.0345532
+0.0330254
+0.0315355
+0.0300941
+0.0286448
+0.0272658
+0.0259419
+0.0246627
+0.0232855
+0.021962
+0.0206902
+0.0195816
+0.0182748
+0.0171216
+0.0161372
+0.015096
+0.014176
+0.0132978
+0.0125719
+0.0119115
+0.0112714
+0.010616
+0.0101211
+0.00954961
+0.00913549
+0.00848874
+0.00819705
+0.00805974
+0.00792889
+0.00762769
+0.00730615
+0.0074623
+0.0078365
+0.00847385
+0.00945202
+0.0107423
+0.0122855
+0.0139591
+0.0157599
+0.0176492
+0.0196013
+0.0215992
+0.023419
+0.0250193
+0.0267036
+0.028457
+0.0302644
+0.0289025
+0.0267952
+0.0247025
+0.0226284
+0.0205785
+0.0185607
+0.0165868
+0.0146746
+0.0128516
+0.0111298
+0.00958639
+0.00830724
+0.00730382
+0.0065918
+0.00585099
+0.00507862
+0.00489697
+0.0053172
+0.00620872
+0.00756101
+0.00889947
+0.0100486
+0.0114651
+0.0129194
+0.0145121
+0.0161666
+0.0178349
+0.0194982
+0.021235
+0.0230258
+0.0247912
+0.0265736
+0.0283502
+0.0301813
+0.0319548
+0.0337637
+0.0356128
+0.0374643
+0.0393386
+0.0412441
+0.0537967
+0.05212
+0.0504327
+0.0487602
+0.0470713
+0.0454253
+0.0437988
+0.0422106
+0.0406693
+0.0391541
+0.0375956
+0.0360961
+0.034584
+0.0330481
+0.0314959
+0.0299718
+0.0284844
+0.0270476
+0.0256172
+0.0242489
+0.0229512
+0.0216819
+0.0203372
+0.019016
+0.0178034
+0.0167114
+0.0154587
+0.0143921
+0.0134857
+0.012518
+0.011694
+0.0109503
+0.0103092
+0.00954706
+0.00895037
+0.00848627
+0.00805007
+0.00768625
+0.00697882
+0.00663253
+0.00675155
+0.00693905
+0.00648844
+0.0062023
+0.00645342
+0.00680273
+0.00742051
+0.00847815
+0.00990185
+0.0115207
+0.0132909
+0.0151263
+0.0170158
+0.0189701
+0.0209588
+0.0229427
+0.0249603
+0.0269869
+0.028723
+0.0305147
+0.0291006
+0.0270089
+0.0249341
+0.022881
+0.0208559
+0.0188678
+0.0169297
+0.0150611
+0.0132913
+0.0116337
+0.0101505
+0.00889866
+0.0076093
+0.0059052
+0.00455666
+0.00371637
+0.00346622
+0.00396073
+0.00494576
+0.00622588
+0.00740693
+0.00872035
+0.0101329
+0.011717
+0.0133866
+0.0150061
+0.0166673
+0.018397
+0.0201683
+0.0219449
+0.0237228
+0.0255098
+0.0273177
+0.0290869
+0.0309083
+0.0327545
+0.0346081
+0.0364976
+0.0384019
+0.0403192
+0.0522936
+0.0507083
+0.0490498
+0.0473613
+0.0456856
+0.0440004
+0.0423483
+0.0407189
+0.0391283
+0.0375881
+0.03608
+0.0345217
+0.0330273
+0.0315204
+0.0299974
+0.0284476
+0.0269217
+0.025443
+0.02401
+0.0226086
+0.0212553
+0.0199914
+0.0187375
+0.0174274
+0.0161144
+0.0149874
+0.0139239
+0.0127728
+0.011839
+0.0109912
+0.0101289
+0.00945717
+0.00868279
+0.00793601
+0.0074056
+0.00696753
+0.00664497
+0.00606124
+0.00565981
+0.00541282
+0.00566841
+0.00569099
+0.0052751
+0.0052385
+0.00559047
+0.00572194
+0.00641885
+0.00751505
+0.00896262
+0.0105955
+0.0124015
+0.0142807
+0.0162023
+0.0181685
+0.0201811
+0.0222273
+0.0242785
+0.0263278
+0.0283951
+0.0304197
+0.0292396
+0.0273966
+0.0253535
+0.0233373
+0.0213555
+0.0194187
+0.0175414
+0.0157265
+0.0140055
+0.0124331
+0.0105447
+0.00865273
+0.00664895
+0.00471679
+0.003019
+0.00187268
+0.00171527
+0.00243978
+0.00358778
+0.00502153
+0.00619515
+0.00758068
+0.00908712
+0.0107325
+0.0122873
+0.0139285
+0.0156531
+0.0173933
+0.0191767
+0.0209404
+0.0227291
+0.0244971
+0.0262714
+0.028085
+0.0299317
+0.0317973
+0.0336888
+0.0355979
+0.0375022
+0.0393315
+0.0508405
+0.0492083
+0.047621
+0.0459833
+0.0442899
+0.0426099
+0.0409335
+0.0392747
+0.0376419
+0.0360487
+0.03451
+0.0330104
+0.0314526
+0.0299644
+0.0284642
+0.0269576
+0.0254028
+0.0238823
+0.0224172
+0.0209902
+0.0196279
+0.0182965
+0.0170624
+0.0158477
+0.0145471
+0.0132997
+0.0123058
+0.0112993
+0.0102924
+0.0095089
+0.00866527
+0.00780527
+0.00704829
+0.00640956
+0.00590294
+0.00557828
+0.005022
+0.00444829
+0.0043579
+0.00434695
+0.00408458
+0.00434015
+0.00401567
+0.00429524
+0.00452501
+0.00465575
+0.00529749
+0.00645498
+0.00798772
+0.00968609
+0.0115327
+0.013468
+0.0154708
+0.0174494
+0.019472
+0.0215275
+0.0235834
+0.0256597
+0.0277537
+0.0298198
+0.028615
+0.027532
+0.0256819
+0.0236453
+0.0216262
+0.0196434
+0.0176517
+0.0155919
+0.0135584
+0.0115464
+0.0095212
+0.00756053
+0.00568315
+0.00374828
+0.00186025
+0.000232618
+0.000287816
+0.00118519
+0.00251136
+0.00409534
+0.00532076
+0.0068077
+0.00835846
+0.00979634
+0.0113756
+0.0130453
+0.0147401
+0.0165002
+0.0182397
+0.0200294
+0.021747
+0.0235087
+0.0253248
+0.027167
+0.0290265
+0.0309161
+0.0327715
+0.0346084
+0.0364614
+0.0383069
+0.0493781
+0.0477572
+0.0461247
+0.0445353
+0.0429213
+0.0412186
+0.0395377
+0.0378718
+0.0362052
+0.0345687
+0.0329726
+0.0314358
+0.0299466
+0.0283897
+0.0269096
+0.0254182
+0.0239238
+0.0223712
+0.0208601
+0.0194142
+0.017997
+0.0166824
+0.0153891
+0.0141774
+0.0130109
+0.0117743
+0.0106438
+0.00977585
+0.00890399
+0.00796514
+0.00701925
+0.00617213
+0.00547697
+0.00489292
+0.00451101
+0.00428075
+0.00346015
+0.00306922
+0.00321412
+0.00268958
+0.00266742
+0.00270845
+0.00267173
+0.00331366
+0.0034791
+0.00338043
+0.00416489
+0.00546386
+0.00710176
+0.0088838
+0.0107335
+0.0126921
+0.0147164
+0.0167477
+0.0188132
+0.0209042
+0.0230138
+0.0251363
+0.0272641
+0.0293714
+0.0281474
+0.0270457
+0.025086
+0.0229988
+0.0209328
+0.0188831
+0.0168627
+0.0148444
+0.0128461
+0.0107626
+0.0087244
+0.00669509
+0.00464257
+0.00266789
+0.000808594
+-0.00109013
+-0.000638123
+0.000303166
+0.00193988
+0.00330342
+0.00448452
+0.00598946
+0.00747251
+0.00902843
+0.010645
+0.0122557
+0.0139411
+0.0156342
+0.0173286
+0.0190624
+0.0208272
+0.0225951
+0.0243566
+0.0261683
+0.0279966
+0.0298428
+0.0316832
+0.0335653
+0.0354147
+0.0372887
+0.0479455
+0.0462919
+0.0446686
+0.0430432
+0.0414514
+0.0398649
+0.0381516
+0.0364699
+0.0348165
+0.0331397
+0.0315004
+0.029901
+0.0283668
+0.0268907
+0.0253355
+0.023866
+0.0223865
+0.0209074
+0.0193608
+0.017864
+0.0164415
+0.0150373
+0.0137886
+0.0125596
+0.0114048
+0.0102618
+0.00915052
+0.00823836
+0.00733932
+0.00631042
+0.00536939
+0.00467133
+0.00400147
+0.00357362
+0.00317531
+0.00274911
+0.00199944
+0.00203904
+0.0016876
+0.0011209
+0.00137406
+0.00139824
+0.00157016
+0.00214139
+0.0021989
+0.00216577
+0.00297126
+0.00444338
+0.00622404
+0.0080992
+0.0100323
+0.0120539
+0.0141259
+0.0162169
+0.0183028
+0.0204107
+0.0225344
+0.0246698
+0.0268115
+0.0289566
+0.0278448
+0.0265923
+0.024514
+0.0224572
+0.0204279
+0.0183314
+0.0162501
+0.0142017
+0.012146
+0.0101109
+0.00813293
+0.00604571
+0.00399057
+0.00198265
+-5.0419e-05
+-0.00201848
+-0.0012782
+-0.000406514
+0.00140629
+0.00259363
+0.00356349
+0.00482262
+0.00617497
+0.00782454
+0.0096875
+0.0113088
+0.0128673
+0.0145375
+0.0162758
+0.0179817
+0.0197094
+0.0214733
+0.0232731
+0.0251174
+0.0269352
+0.0287942
+0.0306526
+0.0325068
+0.0343856
+0.0362682
+0.0464956
+0.0448675
+0.0432071
+0.0415814
+0.0399643
+0.0383698
+0.0367948
+0.0350901
+0.0334077
+0.0317497
+0.0300741
+0.0284385
+0.0268355
+0.0253049
+0.0238452
+0.0222933
+0.0208327
+0.0193758
+0.0179188
+0.016383
+0.0149097
+0.0135085
+0.0121452
+0.010986
+0.00983514
+0.0087372
+0.00773503
+0.00670075
+0.00559837
+0.00464961
+0.00382459
+0.00304334
+0.00260793
+0.00215971
+0.00188364
+0.00104413
+0.000797239
+0.000773146
+-4.18503e-05
+-0.000285462
+0.000281437
+-3.84257e-05
+0.000616548
+0.0007055
+0.000887709
+0.000856346
+0.00186618
+0.00352783
+0.00541244
+0.00737026
+0.00937727
+0.0114518
+0.0135629
+0.0156915
+0.0178287
+0.0199773
+0.0221243
+0.0242679
+0.0264192
+0.0285364
+0.027692
+0.0261246
+0.0240408
+0.0219778
+0.0199242
+0.0178763
+0.0158511
+0.0137789
+0.0117057
+0.00964579
+0.00757342
+0.0055483
+0.0036076
+0.00163779
+-0.00024211
+-0.00112051
+-0.00144527
+-0.00104788
+0.000493136
+0.00156184
+0.00255608
+0.00359405
+0.00516373
+0.00695116
+0.00863748
+0.010264
+0.0118403
+0.0135121
+0.0151982
+0.0168943
+0.0186401
+0.020433
+0.0222525
+0.0240611
+0.0258937
+0.0277472
+0.0296238
+0.0314987
+0.0333588
+0.0352466
+0.0450809
+0.0434102
+0.0417875
+0.0401244
+0.038496
+0.0368886
+0.035291
+0.0337184
+0.0320356
+0.030351
+0.0286804
+0.0270158
+0.0253828
+0.0237784
+0.0222531
+0.020812
+0.019269
+0.0178124
+0.016379
+0.014971
+0.0134597
+0.0120076
+0.0106508
+0.00936656
+0.00831178
+0.00733089
+0.00623028
+0.00505463
+0.00396149
+0.0030853
+0.00220178
+0.00165418
+0.00115616
+0.000872637
+0.000146802
+-0.000475796
+-7.13439e-05
+-0.000879409
+-0.000615363
+-0.000280178
+-0.0010006
+-0.00127148
+-0.000442037
+-0.000656479
+-0.000392786
+-0.000146821
+0.000929264
+0.00274418
+0.00470661
+0.00674371
+0.00885252
+0.0109934
+0.0131391
+0.0152869
+0.0174034
+0.0195059
+0.021626
+0.0237588
+0.0259014
+0.0280513
+0.0276399
+0.0257155
+0.0236599
+0.0215605
+0.0194811
+0.0174289
+0.0153991
+0.0134159
+0.0114509
+0.0093954
+0.00738912
+0.00539618
+0.00350302
+0.00162234
+0.000395171
+0.000270121
+-0.000212723
+-0.00151523
+-0.000723346
+0.000258548
+0.00172671
+0.00274151
+0.00418456
+0.00573229
+0.0073527
+0.00920921
+0.0108355
+0.0124073
+0.0141178
+0.0158529
+0.0176499
+0.0193724
+0.0211803
+0.0230012
+0.0248622
+0.0267371
+0.0285778
+0.0304483
+0.0323096
+0.0342099
+0.0437173
+0.0420058
+0.0403267
+0.0386988
+0.0370443
+0.0354128
+0.0338169
+0.0322161
+0.0306464
+0.0289904
+0.0272977
+0.025618
+0.0239677
+0.0223268
+0.0207335
+0.019216
+0.0177926
+0.0162549
+0.0148241
+0.0134186
+0.0120547
+0.0106115
+0.00920798
+0.00794907
+0.00684019
+0.00588575
+0.00463856
+0.00348207
+0.00239279
+0.00146998
+0.000759709
+0.000280111
+-9.5516e-05
+-0.000503467
+-0.00100105
+-0.0012642
+-0.000555243
+0.000540069
+0.000828759
+0.000753718
+-0.00115689
+-0.000958431
+0.000358709
+-0.000100895
+-0.00124317
+-0.00120118
+-1.43008e-05
+0.00203856
+0.0041557
+0.00627546
+0.00840197
+0.0104787
+0.0125941
+0.0147316
+0.0168827
+0.0190428
+0.0211925
+0.0233022
+0.0254257
+0.0275596
+0.0272939
+0.0252697
+0.0232143
+0.021186
+0.0191772
+0.0171731
+0.0151175
+0.0130918
+0.0111287
+0.00920938
+0.0073716
+0.00544319
+0.00365762
+0.00213166
+0.00136403
+0.00165711
+0.000367775
+-0.000442542
+7.30992e-05
+-0.00103771
+0.000741952
+0.00185418
+0.00300271
+0.0045282
+0.00641376
+0.00815389
+0.00978825
+0.0113918
+0.0131216
+0.0147969
+0.0165264
+0.0183348
+0.0201546
+0.0220231
+0.0238247
+0.0256736
+0.0275223
+0.0294056
+0.0312928
+0.0331827
+0.0423889
+0.0406472
+0.0389344
+0.0372457
+0.0356117
+0.0339675
+0.0323324
+0.0307494
+0.0291459
+0.0275803
+0.0259577
+0.0242512
+0.0225654
+0.0209344
+0.0192842
+0.0177055
+0.0162021
+0.014791
+0.0132745
+0.0118922
+0.0105377
+0.00920379
+0.00787892
+0.00660985
+0.00555762
+0.0044257
+0.00312711
+0.00194452
+0.00088224
+-4.91287e-05
+-0.000625856
+-0.000258098
+0.000256345
+-4.17479e-05
+-0.0016118
+-0.000563513
+0.0010175
+0.00203474
+0.00216119
+0.000545825
+-0.00104477
+0.000216862
+0.00170697
+0.00104079
+-0.000393281
+-0.00224968
+-0.000625139
+0.00148437
+0.00356537
+0.00572065
+0.00789545
+0.0100771
+0.0122268
+0.0143172
+0.0164336
+0.0185671
+0.0206997
+0.0228185
+0.0249373
+0.0270266
+0.0266141
+0.0247827
+0.0228199
+0.0208126
+0.0187805
+0.0167883
+0.0148521
+0.0129692
+0.0110924
+0.00916136
+0.00733586
+0.00567279
+0.00417987
+0.00298591
+0.00253075
+0.00282538
+0.00122912
+0.000512712
+0.00109195
+-0.000466087
+-0.000391592
+0.000977751
+0.00202786
+0.00348505
+0.00526416
+0.00719728
+0.0087416
+0.0104724
+0.0120655
+0.0137817
+0.0155652
+0.0173874
+0.0191287
+0.0209387
+0.0227737
+0.0246385
+0.0265101
+0.0283889
+0.0302772
+0.0322021
+0.0410747
+0.0393261
+0.0375817
+0.0358675
+0.0341677
+0.0325267
+0.0308949
+0.0292558
+0.0276702
+0.0260825
+0.0245222
+0.022934
+0.0212146
+0.0195269
+0.0179187
+0.0162625
+0.0146901
+0.0132156
+0.0118393
+0.0103579
+0.00907151
+0.00779013
+0.00655123
+0.0054365
+0.00414704
+0.00290539
+0.00161258
+0.000389308
+-0.00056245
+-0.000554677
+0.000393022
+0.00113253
+0.00102723
+-0.000353593
+-0.000426203
+0.00088615
+0.00252654
+0.00341711
+0.00226039
+0.000747083
+0.000270008
+0.00142687
+0.00296284
+0.00211539
+-2.5504e-05
+-0.0020943
+-0.000894191
+0.00115627
+0.00325346
+0.00538979
+0.00750029
+0.00959686
+0.0117279
+0.0138649
+0.0159889
+0.0180899
+0.0201747
+0.0222799
+0.0243623
+0.0263593
+0.0256089
+0.0238321
+0.0221295
+0.0204267
+0.0185084
+0.0165497
+0.014603
+0.0127296
+0.0109105
+0.0091737
+0.00745514
+0.00594079
+0.00470968
+0.00386914
+0.00375785
+0.00369274
+0.00236733
+0.00159188
+0.0019328
+0.000544124
+-0.000950548
+0.000220164
+0.00103961
+0.00249525
+0.00425258
+0.00604349
+0.00779503
+0.00945793
+0.0111504
+0.0128554
+0.0145608
+0.0162893
+0.0180825
+0.0199156
+0.0217618
+0.023638
+0.0255018
+0.0274111
+0.029321
+0.0312577
+0.0397865
+0.038012
+0.0362693
+0.034522
+0.0327998
+0.0310938
+0.0294444
+0.0278279
+0.0261842
+0.0245957
+0.0230282
+0.0214756
+0.0198687
+0.0181987
+0.0165
+0.0148931
+0.0132762
+0.0117137
+0.0102772
+0.00894793
+0.00758098
+0.00646362
+0.00530793
+0.00394794
+0.00271549
+0.0013422
+0.000106301
+-0.00100931
+5.53806e-05
+0.000954097
+0.00184548
+0.00222168
+0.00085844
+0.000482311
+0.00107794
+0.00240056
+0.00393838
+0.00401963
+0.00254066
+0.00157946
+0.00155897
+0.00266247
+0.00408916
+0.00246814
+0.000369947
+-0.00117262
+-0.000588542
+0.00109804
+0.00303575
+0.00508619
+0.00715548
+0.00928066
+0.0113397
+0.0134003
+0.0154864
+0.017568
+0.0195865
+0.0215644
+0.0234709
+0.02542
+0.0246112
+0.0229016
+0.0211381
+0.0194465
+0.0178622
+0.016192
+0.0143846
+0.0126077
+0.0108481
+0.00921708
+0.00773368
+0.00637887
+0.00544118
+0.00486355
+0.00491088
+0.00468003
+0.00357432
+0.00284617
+0.00291326
+0.00175157
+0.000591118
+-0.000878012
+4.91687e-05
+0.0013635
+0.00306718
+0.00483087
+0.00670775
+0.00844707
+0.0100893
+0.0118159
+0.0135391
+0.0152926
+0.017096
+0.0189254
+0.0207836
+0.0226661
+0.0245546
+0.0264755
+0.0283959
+0.030346
+0.0385545
+0.0367471
+0.0349556
+0.0332118
+0.0314686
+0.0297323
+0.0280252
+0.0263658
+0.0247687
+0.023118
+0.0215281
+0.0199776
+0.0184404
+0.0168153
+0.015216
+0.0134918
+0.0118887
+0.0103557
+0.00882146
+0.00746623
+0.00625179
+0.0050836
+0.00384491
+0.00246526
+0.00116561
+-6.58542e-05
+-0.000730619
+0.000587197
+0.00164748
+0.00254749
+0.00317392
+0.0020911
+0.00131288
+0.00168891
+0.00256309
+0.00387782
+0.00538546
+0.00410333
+0.00289582
+0.00247199
+0.00298749
+0.00404401
+0.00505375
+0.00298513
+0.00104001
+-0.000259265
+9.44906e-05
+0.00129937
+0.00303544
+0.00486102
+0.00681273
+0.00884516
+0.0109223
+0.0128645
+0.014876
+0.0168293
+0.0187054
+0.0206355
+0.0226018
+0.024606
+0.0235323
+0.0218874
+0.0202094
+0.0185706
+0.0169044
+0.0153462
+0.0139587
+0.0124129
+0.0108385
+0.00935438
+0.00804551
+0.00700648
+0.00620073
+0.00579623
+0.00596353
+0.00568009
+0.0046199
+0.00390765
+0.00385611
+0.00321754
+0.00155601
+-0.000389141
+-0.0007226
+0.000258329
+0.00193952
+0.00373404
+0.00557045
+0.00744264
+0.00909245
+0.0108142
+0.0126081
+0.0143373
+0.0161661
+0.0180033
+0.0198521
+0.0217282
+0.0236193
+0.0255583
+0.027535
+0.0295315
+0.0373867
+0.0355282
+0.0337096
+0.0319073
+0.0301466
+0.028411
+0.0266718
+0.0249638
+0.0232924
+0.0217062
+0.0200583
+0.0184706
+0.0169384
+0.0154017
+0.0137819
+0.0121939
+0.010532
+0.00894837
+0.00755561
+0.00608323
+0.00488812
+0.00393138
+0.00245902
+0.00115902
+-0.000329897
+-0.000629329
+0.000787607
+0.00219177
+0.00329039
+0.00393201
+0.00342098
+0.00249711
+0.00243003
+0.00295228
+0.00413425
+0.00534519
+0.0058096
+0.00456127
+0.00367108
+0.00354649
+0.00410034
+0.00520447
+0.00563099
+0.00366484
+0.00198719
+0.000918955
+0.000756769
+0.00156237
+0.00297692
+0.00474601
+0.00652136
+0.00836455
+0.0103314
+0.0121745
+0.0140047
+0.015902
+0.017866
+0.019867
+0.0219024
+0.0239652
+0.022395
+0.0207794
+0.0191452
+0.0176091
+0.0160575
+0.0145534
+0.0130823
+0.0118126
+0.0105887
+0.00944021
+0.00840908
+0.0075879
+0.00695571
+0.0067034
+0.00699401
+0.00664515
+0.00562285
+0.00492587
+0.00473112
+0.00433327
+0.00240542
+0.00046797
+-0.00148312
+-0.000771168
+0.000769442
+0.00261507
+0.00459278
+0.00634111
+0.00800505
+0.00977874
+0.0116482
+0.0134879
+0.0152358
+0.0170543
+0.0189053
+0.0208223
+0.0227849
+0.0247738
+0.0267598
+0.0287472
+0.036151
+0.0343472
+0.0325154
+0.0306746
+0.0288695
+0.0270885
+0.0253613
+0.0236212
+0.0219128
+0.0202266
+0.0186381
+0.0170124
+0.0154293
+0.0139118
+0.012389
+0.0107854
+0.00920555
+0.00768207
+0.00610179
+0.00487264
+0.00374807
+0.0026336
+0.00106219
+-0.000271273
+-0.000610243
+0.000850519
+0.00231918
+0.00367386
+0.00463729
+0.00533128
+0.00420426
+0.00352134
+0.00360887
+0.00443779
+0.0056288
+0.00693756
+0.0058204
+0.00490537
+0.00436142
+0.00443356
+0.00527997
+0.00648644
+0.00638807
+0.00434433
+0.0025358
+0.00129601
+0.00131283
+0.0018984
+0.00292687
+0.00436921
+0.00609894
+0.00778438
+0.00947386
+0.0112897
+0.0132137
+0.0152101
+0.017194
+0.0191624
+0.021132
+0.0229805
+0.0212641
+0.0195835
+0.0179846
+0.0164798
+0.0149908
+0.013687
+0.0123073
+0.011047
+0.00993546
+0.00899484
+0.00839166
+0.00764713
+0.0073389
+0.00760838
+0.00808778
+0.00769268
+0.00674807
+0.00609278
+0.00569933
+0.0052278
+0.00317026
+0.00121071
+-0.00076639
+-0.00153808
+-0.000298649
+0.00160836
+0.0034893
+0.0053514
+0.0070887
+0.00882805
+0.0106781
+0.0125528
+0.0143157
+0.0161834
+0.01811
+0.0200377
+0.0219976
+0.0239755
+0.0259607
+0.0279466
+0.034922
+0.0331067
+0.0312978
+0.0295203
+0.0276537
+0.025838
+0.0240407
+0.022302
+0.0205835
+0.0188618
+0.0171723
+0.0155819
+0.0139895
+0.0124161
+0.0109205
+0.00940028
+0.00786799
+0.00631067
+0.00492124
+0.00357152
+0.00264603
+0.00119064
+-0.000292419
+-0.000497105
+0.000992047
+0.0023801
+0.00385903
+0.00515227
+0.00606113
+0.00560703
+0.00526006
+0.00509576
+0.00517788
+0.00591577
+0.00706071
+0.00771891
+0.00639017
+0.0055122
+0.00524356
+0.0054045
+0.00622703
+0.0074925
+0.00617856
+0.00446673
+0.00294028
+0.00172789
+0.00134464
+0.00201497
+0.00285327
+0.00394343
+0.00550175
+0.00706982
+0.00883062
+0.0106849
+0.0125496
+0.0145057
+0.0163602
+0.0182007
+0.0201001
+0.0214714
+0.0199638
+0.0183647
+0.0168303
+0.0152678
+0.0138496
+0.0124475
+0.011206
+0.0102736
+0.00937511
+0.00841631
+0.00780478
+0.00763729
+0.00765765
+0.00791154
+0.00849848
+0.00858406
+0.00766835
+0.00684656
+0.00638335
+0.00607256
+0.00412491
+0.00213798
+0.000126864
+-0.0015245
+-0.00130764
+0.000620854
+0.00260938
+0.00451985
+0.00618618
+0.00794959
+0.00984638
+0.0116841
+0.0135223
+0.015381
+0.0173012
+0.0192454
+0.0211832
+0.0231662
+0.0251836
+0.027184
+0.0336641
+0.0318903
+0.0300609
+0.0282545
+0.0264587
+0.0246519
+0.0228077
+0.0210077
+0.0192473
+0.0175354
+0.0158223
+0.0141371
+0.0125462
+0.0110085
+0.00945803
+0.00800418
+0.00649969
+0.00508426
+0.00363229
+0.00249558
+0.00123465
+-0.000260997
+-0.000519296
+0.0010288
+0.00258128
+0.00399704
+0.00530126
+0.00659826
+0.00683361
+0.00634417
+0.00626282
+0.00659398
+0.00700302
+0.00759111
+0.00861566
+0.00844181
+0.0073623
+0.00660231
+0.00636522
+0.00668311
+0.00744583
+0.00822835
+0.00631543
+0.00464574
+0.00344251
+0.00281253
+0.00225509
+0.00180475
+0.00231292
+0.00338552
+0.00482017
+0.00642291
+0.00818363
+0.0100299
+0.0116647
+0.0134409
+0.0153039
+0.0172247
+0.0189331
+0.0200247
+0.018403
+0.0169057
+0.0154931
+0.0139888
+0.0126054
+0.0112569
+0.0101272
+0.00902765
+0.00823611
+0.00782448
+0.00760222
+0.0076362
+0.00797778
+0.00855893
+0.00910424
+0.00942205
+0.0084614
+0.00778147
+0.00735767
+0.00700736
+0.00500375
+0.00295875
+0.000987682
+-0.00065608
+-0.00108881
+-0.000260187
+0.00160382
+0.00357627
+0.00535995
+0.00710892
+0.00887931
+0.0107992
+0.0127223
+0.014571
+0.0164761
+0.0184447
+0.0204196
+0.022409
+0.0244301
+0.0264687
+0.0324527
+0.030617
+0.028829
+0.0270253
+0.0252131
+0.0234068
+0.0216464
+0.0197984
+0.0179902
+0.0162055
+0.0144947
+0.0128104
+0.0111367
+0.00954655
+0.00811575
+0.00653247
+0.00507438
+0.00375894
+0.00254627
+0.00114874
+-0.000285412
+-0.000475462
+0.00106265
+0.00255632
+0.00411671
+0.00555107
+0.00683882
+0.0078692
+0.00759586
+0.00724573
+0.00738322
+0.00788694
+0.00867815
+0.00945564
+0.0103131
+0.00939813
+0.008462
+0.0078206
+0.00766319
+0.008015
+0.00873337
+0.00887058
+0.00713205
+0.00570652
+0.0046268
+0.00338133
+0.00255347
+0.00250647
+0.00229089
+0.00322405
+0.00421521
+0.00571853
+0.00717282
+0.00878796
+0.0105831
+0.0124481
+0.0142483
+0.0158951
+0.0172798
+0.018681
+0.0169739
+0.0153466
+0.0138653
+0.0124994
+0.0112496
+0.0100214
+0.00891626
+0.00801503
+0.00711276
+0.00673857
+0.00697921
+0.00744682
+0.00823086
+0.0090832
+0.00998698
+0.0100301
+0.00907047
+0.00836288
+0.00784718
+0.00781529
+0.00584372
+0.00386342
+0.00190104
+-2.91468e-06
+-0.000562024
+-0.000784962
+0.000733692
+0.00268938
+0.00449396
+0.00627393
+0.00819364
+0.00996191
+0.0118593
+0.0138177
+0.015727
+0.0176993
+0.0197041
+0.0216806
+0.0236801
+0.0256817
+0.0312323
+0.0294135
+0.0275812
+0.0257688
+0.0239956
+0.0221651
+0.0203597
+0.0185789
+0.0168209
+0.0149742
+0.0131846
+0.0114725
+0.00980833
+0.00816385
+0.00659399
+0.00528035
+0.00367205
+0.00236225
+0.00126538
+-0.000376302
+-0.000532338
+0.00107575
+0.00262124
+0.00415437
+0.00563916
+0.00710717
+0.00839654
+0.00875733
+0.00843677
+0.008363
+0.00853271
+0.00914275
+0.0100193
+0.011165
+0.0115575
+0.0105386
+0.00979025
+0.0092426
+0.00912486
+0.00945562
+0.010138
+0.00987147
+0.00814375
+0.0065186
+0.00515835
+0.00416918
+0.00308063
+0.00239166
+0.00219266
+0.00230168
+0.00346102
+0.00448742
+0.00608789
+0.00780344
+0.00952376
+0.0112159
+0.0128494
+0.0141886
+0.0157089
+0.0173514
+0.0156764
+0.0139389
+0.0123111
+0.0108254
+0.0095262
+0.00855414
+0.00750807
+0.00672679
+0.00613638
+0.00603477
+0.00619242
+0.00686828
+0.00799278
+0.00926968
+0.0105642
+0.0108309
+0.00986128
+0.00905066
+0.00864306
+0.00862732
+0.006717
+0.00467936
+0.00273808
+0.000982489
+-0.00011885
+4.08034e-05
+-5.50108e-05
+0.00186763
+0.00363275
+0.00547248
+0.0073399
+0.00918509
+0.0111056
+0.0130738
+0.0149603
+0.0169056
+0.0188955
+0.0208862
+0.0228842
+0.0249008
+0.0300219
+0.0282069
+0.0263743
+0.0245568
+0.022719
+0.0209441
+0.0191302
+0.0173232
+0.0155235
+0.0137768
+0.0120002
+0.0101736
+0.00846127
+0.00685483
+0.0052918
+0.00377644
+0.00249307
+0.0012468
+-0.000196339
+-0.000773675
+0.000895061
+0.00254153
+0.00416264
+0.00571863
+0.00724657
+0.00872556
+0.00996216
+0.00951791
+0.00928407
+0.00949763
+0.00989455
+0.0104549
+0.0113669
+0.0124847
+0.0122691
+0.0113727
+0.0107867
+0.0105065
+0.0105907
+0.0110533
+0.0116513
+0.0101032
+0.00848846
+0.00701078
+0.00528856
+0.0038994
+0.00318223
+0.00284542
+0.00192888
+0.00185215
+0.00220263
+0.00363317
+0.00499548
+0.00672526
+0.00822259
+0.00982564
+0.0111012
+0.0126131
+0.0142694
+0.0153545
+0.0145918
+0.0127093
+0.0109392
+0.00931682
+0.00782945
+0.00666639
+0.00590277
+0.00534489
+0.0050538
+0.00507476
+0.0056848
+0.00644899
+0.00770855
+0.0091619
+0.0106467
+0.0118424
+0.0108261
+0.0100995
+0.00973567
+0.00948709
+0.0075092
+0.00553416
+0.00362135
+0.00200345
+0.00111569
+0.000917374
+-0.000860632
+0.0010017
+0.00285168
+0.00464342
+0.006579
+0.00848529
+0.010284
+0.0121837
+0.014146
+0.0160944
+0.0180911
+0.0200822
+0.0221001
+0.024143
+0.0287719
+0.0269704
+0.0251991
+0.023336
+0.0215225
+0.0196837
+0.0178765
+0.0161047
+0.0142725
+0.0124699
+0.0107172
+0.00903897
+0.00723647
+0.00551233
+0.00398262
+0.00253957
+0.00116394
+4.23495e-05
+-0.00111053
+0.000607654
+0.00229238
+0.00397201
+0.00562976
+0.00723949
+0.00868849
+0.0101819
+0.0108082
+0.0105592
+0.0104126
+0.0106428
+0.0112344
+0.0119638
+0.0127904
+0.0138688
+0.0128931
+0.0121384
+0.0117061
+0.0115608
+0.0118254
+0.0123073
+0.0123925
+0.010691
+0.00906532
+0.0073665
+0.00576403
+0.00452428
+0.00379581
+0.00299608
+0.0017968
+0.00103119
+0.00166946
+0.00249051
+0.00389554
+0.00532451
+0.00683789
+0.00801878
+0.00951892
+0.0111963
+0.0130162
+0.0132119
+0.0129333
+0.0117587
+0.00982346
+0.0080149
+0.00637076
+0.00496066
+0.004084
+0.00384344
+0.00349919
+0.00397665
+0.00516414
+0.00610609
+0.0073898
+0.00900757
+0.0107702
+0.0124226
+0.0120749
+0.0114114
+0.0110929
+0.0103688
+0.00843399
+0.00657967
+0.00494135
+0.00356863
+0.00204311
+0.00129616
+-0.000429424
+0.00017223
+0.00199749
+0.00382778
+0.00571902
+0.00765064
+0.0094423
+0.0113618
+0.0133054
+0.0152866
+0.0173019
+0.0193266
+0.0213107
+0.0233315
+0.0276304
+0.0257587
+0.0239308
+0.0221689
+0.0203157
+0.0184797
+0.0166626
+0.0148216
+0.0130759
+0.01124
+0.00943735
+0.00764998
+0.00597477
+0.00435497
+0.00274283
+0.00126368
+7.34962e-05
+-0.00138974
+0.00025099
+0.00189673
+0.00350364
+0.00517788
+0.00689317
+0.0084601
+0.0101066
+0.0116231
+0.0116266
+0.0115402
+0.0117436
+0.0119995
+0.0125473
+0.0133977
+0.014359
+0.0146309
+0.0137701
+0.0130661
+0.0126682
+0.0126067
+0.0128999
+0.0134979
+0.0131667
+0.0112792
+0.00949294
+0.00791258
+0.00658393
+0.00576058
+0.00429284
+0.00274498
+0.00169887
+0.000771157
+0.00050999
+0.00125721
+0.00251302
+0.00376169
+0.0049523
+0.00642713
+0.00814222
+0.0100323
+0.0117465
+0.0110881
+0.0107547
+0.0108617
+0.00898277
+0.00709139
+0.0052814
+0.00367378
+0.00250446
+0.00237718
+0.00206418
+0.00276419
+0.00424752
+0.00559727
+0.00703152
+0.00866319
+0.0104798
+0.0124178
+0.013511
+0.0129156
+0.0125597
+0.0114067
+0.00961566
+0.00799734
+0.00621747
+0.004423
+0.00280862
+0.00187538
+3.32325e-05
+-0.000707522
+0.00110037
+0.00290617
+0.00477362
+0.00675937
+0.00860513
+0.0105557
+0.0125805
+0.0145019
+0.0164906
+0.018513
+0.0205565
+0.0225728
+0.0264733
+0.0246573
+0.022764
+0.0209083
+0.019119
+0.0173228
+0.015442
+0.0136374
+0.0117864
+0.00999421
+0.00822878
+0.00639476
+0.00460752
+0.00292311
+0.0014155
+-1.62348e-05
+-0.0013407
+-0.000207054
+0.00130643
+0.00289787
+0.00460127
+0.00631072
+0.00804172
+0.00979982
+0.0114224
+0.0129375
+0.0126781
+0.0126384
+0.0129072
+0.0134854
+0.0140458
+0.0148352
+0.0158268
+0.0153768
+0.0146494
+0.0140964
+0.0137708
+0.0137525
+0.0139884
+0.0145417
+0.0137993
+0.0120131
+0.0103543
+0.00889352
+0.00772139
+0.00620113
+0.00478825
+0.00324493
+0.00174038
+0.00052417
+0.000266208
+0.000196589
+0.000704017
+0.00191588
+0.00333693
+0.00513581
+0.00710788
+0.00905022
+0.00977387
+0.00897241
+0.00858216
+0.00871595
+0.00789977
+0.0061767
+0.00426503
+0.00264748
+0.00130433
+0.000465263
+0.000498456
+0.00157161
+0.00323705
+0.00464758
+0.00635504
+0.00829285
+0.0103322
+0.0124114
+0.0144773
+0.0141388
+0.0137252
+0.0126798
+0.0108078
+0.00885447
+0.00694548
+0.00517558
+0.00367688
+0.00247587
+0.000566173
+-0.00137365
+0.000146966
+0.00195302
+0.00387121
+0.00586254
+0.00788289
+0.00974576
+0.0117156
+0.0137324
+0.0157366
+0.017757
+0.0198127
+0.0217853
+0.0252453
+0.0234512
+0.0216659
+0.0197887
+0.0179019
+0.0160837
+0.0143182
+0.0124341
+0.0105911
+0.00877557
+0.00692714
+0.00519673
+0.0033744
+0.00160794
+-7.84037e-05
+-0.00134243
+-0.000770404
+0.000651701
+0.0023005
+0.00402017
+0.00571824
+0.00752305
+0.00928306
+0.0110062
+0.0127535
+0.0137335
+0.0138121
+0.0139104
+0.0141839
+0.0147486
+0.0155675
+0.0163659
+0.0169779
+0.0160812
+0.0154181
+0.0150279
+0.0149034
+0.0150032
+0.0152814
+0.0158096
+0.0147068
+0.0130454
+0.0115361
+0.0102157
+0.0085562
+0.00669511
+0.00501686
+0.00356384
+0.00187959
+0.000212365
+-0.000551504
+-0.0015011
+-0.000716566
+0.000284233
+0.00223669
+0.00417404
+0.00607476
+0.00763531
+0.00791675
+0.00690294
+0.00642202
+0.00659975
+0.00688717
+0.00500272
+0.00341661
+0.00169635
+0.000111311
+-0.000982027
+-0.000609532
+0.00102542
+0.0024873
+0.00395841
+0.00586803
+0.00790458
+0.00998447
+0.0121035
+0.0142443
+0.0151133
+0.0146858
+0.0134762
+0.011502
+0.00958716
+0.00773947
+0.00607813
+0.00444319
+0.00265256
+0.000875661
+-0.000949651
+-0.000766869
+0.00104152
+0.00298237
+0.0049682
+0.0069867
+0.00896911
+0.0109655
+0.0129936
+0.0149508
+0.01691
+0.0189068
+0.02091
+0.0240916
+0.0222604
+0.0204436
+0.0186778
+0.0168561
+0.0149282
+0.013064
+0.0113067
+0.00946114
+0.00755763
+0.00576363
+0.00389027
+0.00212172
+0.000400726
+-0.00137018
+-0.00161562
+-3.17719e-05
+0.00170916
+0.0034433
+0.00516959
+0.00697881
+0.00867761
+0.0104351
+0.0122432
+0.014008
+0.0147448
+0.0148642
+0.0151015
+0.0155514
+0.0161532
+0.0169371
+0.0179092
+0.0177093
+0.0169313
+0.0163832
+0.0160293
+0.0159333
+0.0160612
+0.0164203
+0.0170056
+0.0158669
+0.014334
+0.0129617
+0.0110391
+0.00918942
+0.00746645
+0.00597028
+0.00407595
+0.00225978
+0.000440288
+-0.00126852
+-0.00228924
+-0.00217033
+-0.000535906
+0.00125134
+0.00301594
+0.00456177
+0.00613756
+0.00625446
+0.00493914
+0.00429294
+0.00452271
+0.00547195
+0.00394696
+0.00235596
+0.00060677
+-0.000737167
+-0.00217622
+-0.00178575
+9.88418e-05
+0.00218864
+0.004091
+0.00596502
+0.00798873
+0.0100575
+0.0121691
+0.0143045
+0.016207
+0.0158091
+0.0142484
+0.0123265
+0.0104793
+0.00870908
+0.00665349
+0.00468929
+0.00273736
+0.000996962
+-0.00067254
+-0.00166508
+0.000142954
+0.00210364
+0.00408866
+0.00608916
+0.00816364
+0.0100739
+0.0120274
+0.0140274
+0.0160267
+0.018054
+0.0200831
+0.0230015
+0.0211345
+0.0192937
+0.0174625
+0.0156921
+0.0139126
+0.0120157
+0.0100913
+0.00828421
+0.00650355
+0.00458438
+0.00273114
+0.000880114
+-0.000935723
+-0.00230626
+-0.000770121
+0.00105109
+0.00287463
+0.00465387
+0.00643537
+0.00818924
+0.0099829
+0.0116904
+0.0134274
+0.0152243
+0.0158909
+0.0160818
+0.0163863
+0.0168681
+0.0175834
+0.0183908
+0.0191594
+0.018294
+0.0175949
+0.0171173
+0.0168893
+0.0168964
+0.0171667
+0.0176355
+0.0181844
+0.0172211
+0.0156916
+0.0137728
+0.0118992
+0.0101198
+0.0084676
+0.0065422
+0.00468896
+0.00261293
+0.000879373
+-0.000935009
+-0.00298095
+-0.00332781
+-0.00154881
+0.000117677
+0.00158076
+0.00307395
+0.00481813
+0.00497771
+0.00325019
+0.00228109
+0.00259764
+0.00389946
+0.00309782
+0.00100882
+-0.000521832
+-0.00194168
+-0.00336579
+-0.00158308
+0.000589764
+0.00270096
+0.00469125
+0.00662658
+0.00850273
+0.0105014
+0.0125624
+0.0146429
+0.0167494
+0.0168673
+0.015167
+0.013167
+0.0110389
+0.00891496
+0.00679916
+0.00470278
+0.00272396
+0.00100031
+-0.000569347
+-0.00218321
+-0.000712827
+0.00121963
+0.00321254
+0.00522782
+0.00716643
+0.00914312
+0.0111462
+0.013191
+0.0152012
+0.0172375
+0.0193057
+0.022003
+0.020106
+0.0182205
+0.0163621
+0.0145291
+0.0127232
+0.0109269
+0.00909889
+0.00717926
+0.00532706
+0.00352769
+0.00167776
+-0.000182746
+-0.00122888
+-0.00107627
+0.000558989
+0.00229242
+0.00406327
+0.00590705
+0.00768951
+0.00949015
+0.0112299
+0.0129818
+0.014738
+0.0164589
+0.016872
+0.0172608
+0.0177931
+0.0182742
+0.0189623
+0.019862
+0.0197476
+0.0189208
+0.0182958
+0.0178808
+0.0176726
+0.0176722
+0.0179196
+0.0183967
+0.0191014
+0.0183939
+0.0164529
+0.0145723
+0.0127908
+0.0109823
+0.00907776
+0.00710524
+0.00507507
+0.00316636
+0.00149567
+-0.000495704
+-0.001989
+-0.00363708
+-0.00284567
+-0.00113755
+0.000165923
+0.00195412
+0.00367737
+0.00431645
+0.00228658
+0.000742549
+0.00121745
+0.00292709
+0.00220689
+0.000312579
+-0.00150788
+-0.00311275
+-0.00220453
+-0.000611787
+0.00145269
+0.0032931
+0.00532578
+0.00743314
+0.00947804
+0.0113056
+0.0132438
+0.0152505
+0.0173019
+0.0176536
+0.0155215
+0.0133965
+0.0112715
+0.00915265
+0.00703644
+0.00494023
+0.00295368
+0.00114317
+-0.000575947
+-0.00204838
+-0.00155019
+0.00038358
+0.00235122
+0.00428898
+0.00628326
+0.00830585
+0.0103213
+0.0123821
+0.014481
+0.0165527
+0.0186328
+0.0211664
+0.0191868
+0.0172583
+0.0153558
+0.0134987
+0.0116344
+0.00983225
+0.00800573
+0.00617013
+0.00433316
+0.00253348
+0.000848548
+-0.000439523
+-0.000617979
+0.000365461
+0.00176567
+0.00354047
+0.00536428
+0.00711509
+0.00891879
+0.0107608
+0.0125212
+0.0142688
+0.0160176
+0.01775
+0.0179396
+0.0183627
+0.0189823
+0.0197346
+0.0204515
+0.0212946
+0.020469
+0.0197442
+0.0191496
+0.0187726
+0.0186149
+0.01862
+0.0188355
+0.0192899
+0.0199675
+0.0192141
+0.017365
+0.0155948
+0.0137158
+0.0117946
+0.00975762
+0.00780442
+0.00601706
+0.00415198
+0.00214148
+0.000582879
+-0.000696654
+-0.00228069
+-0.00361265
+-0.00247959
+-0.000562548
+0.000817057
+0.00255865
+0.00386414
+0.00266264
+0.0013507
+0.00143768
+0.00235151
+0.00136303
+-0.000451532
+-0.00250183
+-0.00257609
+-0.00113681
+0.000602352
+0.00221003
+0.00415725
+0.00621267
+0.00814748
+0.0101088
+0.0121273
+0.0141835
+0.0161156
+0.018069
+0.0179284
+0.0158054
+0.013702
+0.0116134
+0.00949353
+0.0073781
+0.00528208
+0.00324293
+0.00127252
+-0.000570611
+-0.00202646
+-0.00240819
+-0.000438097
+0.00148778
+0.00344559
+0.00546829
+0.00757607
+0.00962815
+0.0117095
+0.0138244
+0.015867
+0.0179386
+0.0204638
+0.0184445
+0.0164676
+0.0145109
+0.0125877
+0.0107237
+0.00886866
+0.00707018
+0.00525565
+0.00346529
+0.00176487
+0.000525037
+1.66571e-05
+0.000469994
+0.00176674
+0.00322129
+0.00478291
+0.00653208
+0.00840553
+0.0101892
+0.0119563
+0.0137965
+0.0155641
+0.0173274
+0.018932
+0.019129
+0.0195272
+0.0201327
+0.0209401
+0.0219043
+0.0221099
+0.0212163
+0.0205186
+0.0200373
+0.0197644
+0.0196826
+0.0197233
+0.0199268
+0.0203569
+0.0210001
+0.0202392
+0.0183726
+0.0164139
+0.0145217
+0.0125593
+0.0106462
+0.00885808
+0.00695244
+0.00509571
+0.00345872
+0.00203023
+0.000492117
+-0.000875453
+-0.00153457
+-0.00262817
+-0.00210873
+-0.000240011
+0.00177641
+0.00240353
+0.00143525
+0.000684642
+0.000498169
+0.000682539
+0.000400444
+-0.00153879
+-0.00212083
+-0.000971208
+0.000185275
+0.00182014
+0.003464
+0.00529077
+0.00707675
+0.00904123
+0.0110549
+0.0129466
+0.0149157
+0.0169336
+0.0189697
+0.0182625
+0.016147
+0.0140447
+0.0119449
+0.00981389
+0.00769364
+0.00560209
+0.00356001
+0.00156849
+-0.000383733
+-0.00194244
+-0.00323119
+-0.00129713
+0.000668214
+0.00271129
+0.00479676
+0.00694431
+0.00894693
+0.0110128
+0.0131146
+0.0152265
+0.0173137
+0.0197762
+0.0177818
+0.0158307
+0.0138332
+0.0118691
+0.00997278
+0.00812187
+0.00632425
+0.00458408
+0.00295457
+0.00152065
+0.000757339
+0.000887574
+0.0017772
+0.00319883
+0.00465664
+0.00625529
+0.00784735
+0.00957584
+0.0113982
+0.0132621
+0.0150034
+0.0168143
+0.0186252
+0.0199208
+0.020387
+0.0208452
+0.0214262
+0.0221909
+0.0231304
+0.0224807
+0.0216894
+0.0210969
+0.0206963
+0.0204551
+0.0204471
+0.0206726
+0.0210854
+0.0215801
+0.0210397
+0.0200909
+0.0192101
+0.0172488
+0.0152948
+0.013414
+0.0116407
+0.00991556
+0.00807248
+0.00641101
+0.00497469
+0.00343812
+0.00193503
+0.00073712
+9.79585e-05
+-0.000910231
+-0.0017896
+-0.000993255
+0.00085699
+0.000440021
+8.17486e-06
+-0.00120478
+-0.00133276
+-0.000681836
+-0.00103407
+-0.00234876
+-0.00142227
+0.000469258
+0.00198663
+0.00316285
+0.00470411
+0.0064347
+0.00827519
+0.0100998
+0.0119695
+0.013933
+0.0158776
+0.0177908
+0.0197616
+0.0186656
+0.0165582
+0.0144553
+0.0123538
+0.0102278
+0.00810485
+0.00602303
+0.00401004
+0.00205266
+0.000106983
+-0.00174612
+-0.0031697
+-0.0020425
+2.45084e-06
+0.00201811
+0.00409309
+0.00620104
+0.0083002
+0.0103931
+0.0125148
+0.0146451
+0.0167748
+0.0191172
+0.0171359
+0.0151888
+0.0132284
+0.0113225
+0.00945265
+0.00760925
+0.00585508
+0.00424804
+0.00290056
+0.0018273
+0.00163428
+0.00208109
+0.00314693
+0.00453153
+0.00616714
+0.00765414
+0.00930437
+0.0109199
+0.0126338
+0.0144155
+0.016275
+0.0180656
+0.0198533
+0.0210487
+0.0215005
+0.0221509
+0.0228544
+0.0235753
+0.0237123
+0.0228754
+0.0222237
+0.0216653
+0.0212807
+0.0210902
+0.0211263
+0.021388
+0.0218247
+0.0213733
+0.0202145
+0.0192078
+0.0183761
+0.0176586
+0.0163011
+0.0145333
+0.0128724
+0.011065
+0.00942153
+0.00800176
+0.00645692
+0.00501991
+0.00362362
+0.00285812
+0.00169268
+0.00122998
+-0.000171816
+-0.00179648
+-0.000988388
+-0.00150926
+-0.00195201
+-0.00281704
+-0.0032086
+-0.00250871
+-0.00258337
+-0.00326174
+-0.00144291
+0.000690326
+0.00236662
+0.0042905
+0.00608144
+0.00762933
+0.00940674
+0.011272
+0.0131424
+0.0149662
+0.0168655
+0.0188282
+0.0207302
+0.0191207
+0.0170239
+0.0149296
+0.0128294
+0.0107327
+0.00864538
+0.00660401
+0.00460496
+0.00263378
+0.000645181
+-0.00128442
+-0.00311388
+-0.00273072
+-0.000718712
+0.00137424
+0.00348556
+0.00562324
+0.00777805
+0.00985936
+0.0119789
+0.0141082
+0.0162511
+0.0185801
+0.0165761
+0.014619
+0.0126885
+0.0108464
+0.00902865
+0.00726974
+0.00568724
+0.00432089
+0.00318695
+0.0025122
+0.00259672
+0.00334935
+0.00453709
+0.00594992
+0.00744659
+0.0091323
+0.0107087
+0.0123449
+0.0140034
+0.0157011
+0.0174593
+0.0192849
+0.0211383
+0.0221477
+0.0226909
+0.0233617
+0.024161
+0.0250636
+0.0242312
+0.02343
+0.0227942
+0.0223547
+0.0220644
+0.0218807
+0.0219155
+0.022126
+0.0221064
+0.0207789
+0.0195751
+0.0185338
+0.0176704
+0.0169289
+0.0163788
+0.0158438
+0.0141013
+0.0124731
+0.0110413
+0.00951687
+0.00811409
+0.00667731
+0.00556405
+0.00469602
+0.00374239
+0.0024237
+0.000272953
+-0.00165622
+-0.00312667
+-0.00342285
+-0.00401812
+-0.00470443
+-0.00521975
+-0.00455284
+-0.00456217
+-0.00404296
+-0.00196852
+-0.000330979
+0.00153392
+0.00367892
+0.00585689
+0.00799048
+0.0100439
+0.0121454
+0.0141967
+0.0161275
+0.0179974
+0.0198485
+0.0217621
+0.0196756
+0.0175827
+0.0155043
+0.0134403
+0.0113762
+0.00931907
+0.00729795
+0.00528858
+0.00328773
+0.00134625
+-0.000584665
+-0.00247674
+-0.00335823
+-0.00123261
+0.000877344
+0.00298474
+0.00510552
+0.00726154
+0.00935251
+0.0114177
+0.0135191
+0.0156104
+0.0181191
+0.0161495
+0.0141968
+0.012276
+0.0104304
+0.00867936
+0.00707893
+0.00565265
+0.00453615
+0.0037518
+0.00338902
+0.00373997
+0.00469281
+0.00583361
+0.00722702
+0.00880414
+0.0104642
+0.0120677
+0.0137229
+0.0154083
+0.0170922
+0.0187714
+0.0205179
+0.0223097
+0.0233362
+0.023876
+0.0245768
+0.0254166
+0.0255548
+0.0247353
+0.0240695
+0.02345
+0.023023
+0.0227917
+0.0227368
+0.0228155
+0.0230492
+0.021738
+0.0203865
+0.0191471
+0.0180784
+0.0171937
+0.0164213
+0.0158676
+0.0154274
+0.014956
+0.0140799
+0.0125955
+0.0112104
+0.00974307
+0.00849848
+0.007641
+0.00658035
+0.00504086
+0.00294284
+0.000856885
+-0.00127481
+-0.00345415
+-0.00542878
+-0.00617067
+-0.00673383
+-0.00720851
+-0.00667907
+-0.00544943
+-0.00364486
+-0.00184266
+-0.000347995
+0.00170024
+0.00341484
+0.00543107
+0.00754522
+0.00957904
+0.0116226
+0.0137094
+0.0158244
+0.0179575
+0.020103
+0.0221161
+0.0203268
+0.018265
+0.0161932
+0.0141429
+0.012115
+0.0100926
+0.00810046
+0.00615746
+0.00422032
+0.00229598
+0.000321798
+-0.00158858
+-0.00340151
+-0.00180892
+0.000298071
+0.00240466
+0.00449357
+0.00660354
+0.00868475
+0.010771
+0.0128785
+0.0150037
+0.0178184
+0.0158614
+0.0139436
+0.0120662
+0.0102535
+0.00856005
+0.00706137
+0.00590897
+0.00511228
+0.00449145
+0.00453569
+0.00495964
+0.00591747
+0.00722382
+0.00859078
+0.010094
+0.0116994
+0.0134014
+0.0150028
+0.0166711
+0.0184263
+0.0201494
+0.0218451
+0.0235778
+0.0245565
+0.0251274
+0.0258302
+0.0266757
+0.0260811
+0.0252787
+0.0246059
+0.0240775
+0.0237403
+0.0236024
+0.023603
+0.0237536
+0.0230477
+0.02156
+0.0201965
+0.0189345
+0.0178531
+0.0169565
+0.0161728
+0.0155852
+0.0152123
+0.014334
+0.0135993
+0.0130074
+0.0123397
+0.0115189
+0.0104522
+0.00879327
+0.00667286
+0.00461854
+0.00254363
+0.000475115
+-0.00161869
+-0.00373369
+-0.00582413
+-0.0079653
+-0.00878501
+-0.00923901
+-0.00758942
+-0.0057214
+-0.00374282
+-0.00174866
+0.000180837
+0.00183823
+0.00347777
+0.00533113
+0.00728809
+0.00934718
+0.0114323
+0.0135484
+0.0156851
+0.0178349
+0.0198462
+0.0211446
+0.0210364
+0.0189993
+0.0169649
+0.0149343
+0.0129439
+0.0110052
+0.00904708
+0.00716749
+0.00518982
+0.00327343
+0.00137525
+-0.000363512
+-0.00197683
+-0.00104092
+-0.000325237
+0.0017511
+0.00385257
+0.0059767
+0.00811581
+0.0101861
+0.0122955
+0.0144291
+0.017547
+0.0157391
+0.0138423
+0.0120444
+0.0103268
+0.00874915
+0.00735638
+0.00630424
+0.00574707
+0.00542625
+0.00561381
+0.00623757
+0.00715502
+0.00842506
+0.00992945
+0.0114644
+0.0130387
+0.0146506
+0.0163585
+0.0179727
+0.0196448
+0.0213842
+0.023185
+0.0249248
+0.0258035
+0.0263771
+0.0271059
+0.027563
+0.0266254
+0.0258358
+0.0251797
+0.0247011
+0.0244105
+0.0242999
+0.024363
+0.0246216
+0.0230802
+0.0215948
+0.0202337
+0.0189742
+0.0178951
+0.0170006
+0.016175
+0.0155736
+0.0148426
+0.0139946
+0.0132402
+0.0125577
+0.0120487
+0.0115358
+0.0107892
+0.00867087
+0.00659994
+0.00446987
+0.00228872
+0.000197615
+-0.00181388
+-0.00379105
+-0.00587464
+-0.00801544
+-0.0101775
+-0.00970254
+-0.00767253
+-0.00571019
+-0.00373667
+-0.00189596
+-7.04513e-05
+0.0018773
+0.00387784
+0.00579921
+0.00763716
+0.00962183
+0.0116579
+0.0137394
+0.0157125
+0.017129
+0.0182213
+0.0194993
+0.0209292
+0.0198027
+0.0178175
+0.0158774
+0.0139002
+0.0119872
+0.0100644
+0.00814609
+0.00625878
+0.00440717
+0.00268118
+0.0010697
+6.24631e-05
+0.000597776
+-0.000961229
+0.00115468
+0.00328183
+0.00542194
+0.00758899
+0.00965455
+0.0117647
+0.0138997
+0.0173863
+0.0156374
+0.013951
+0.0122033
+0.0105729
+0.00911038
+0.00787629
+0.00699957
+0.00649156
+0.00623535
+0.00658344
+0.00731558
+0.00831253
+0.00958779
+0.0110041
+0.0125897
+0.01429
+0.0159712
+0.0176501
+0.0193051
+0.0209446
+0.0226497
+0.0243736
+0.0261635
+0.0269867
+0.0276804
+0.0284191
+0.0282268
+0.0273111
+0.0265404
+0.0259021
+0.0254322
+0.0251419
+0.0250142
+0.0250755
+0.0248861
+0.0233069
+0.0218331
+0.0204879
+0.0192637
+0.0181965
+0.0172825
+0.0164582
+0.0158253
+0.0147785
+0.0139452
+0.0131982
+0.0124819
+0.0119724
+0.0115824
+0.0108729
+0.00877479
+0.00673589
+0.00480259
+0.00271971
+0.000597276
+-0.0014897
+-0.003652
+-0.00582417
+-0.00800511
+-0.0101902
+-0.00963027
+-0.0075642
+-0.00550686
+-0.00338815
+-0.00134808
+0.000560333
+0.00194766
+0.00391747
+0.00599624
+0.00810526
+0.0101891
+0.0121174
+0.0134997
+0.0143712
+0.0153666
+0.0165754
+0.0179709
+0.0194862
+0.0207571
+0.0187768
+0.0168479
+0.0149497
+0.0130241
+0.0111396
+0.00925336
+0.00747406
+0.00575189
+0.00413717
+0.00268699
+0.0020339
+0.00123496
+-0.000827031
+0.000657925
+0.00276318
+0.00488678
+0.00704304
+0.0091249
+0.0112022
+0.013316
+0.0175005
+0.0157643
+0.0141406
+0.012563
+0.0110148
+0.00964158
+0.0084978
+0.0076441
+0.00723682
+0.00722548
+0.00763706
+0.0084548
+0.00944878
+0.0107166
+0.0121768
+0.0137403
+0.0153467
+0.017052
+0.0188213
+0.020563
+0.02227
+0.0239261
+0.0256367
+0.0273871
+0.0282356
+0.0289011
+0.0296742
+0.0287354
+0.0279371
+0.0272917
+0.0267208
+0.0262635
+0.0259832
+0.0258584
+0.0259177
+0.0252701
+0.023716
+0.0222693
+0.0209521
+0.0197485
+0.0187068
+0.0178192
+0.0170208
+0.0160668
+0.0150367
+0.0141818
+0.0134868
+0.0127867
+0.0122785
+0.0119347
+0.0106615
+0.00848411
+0.0063155
+0.00416744
+0.00204475
+2.98022e-05
+-0.00202402
+-0.00415422
+-0.00630582
+-0.00836207
+-0.010473
+-0.00988502
+-0.00775226
+-0.0056112
+-0.0035315
+-0.00155845
+0.000279382
+0.00214852
+0.0040707
+0.00603264
+0.00796792
+0.00967813
+0.0109607
+0.0117209
+0.0126271
+0.013728
+0.0150688
+0.0165824
+0.0181645
+0.0198161
+0.0198415
+0.0179064
+0.0160206
+0.0141304
+0.0122881
+0.0105234
+0.00882653
+0.00721131
+0.00563535
+0.0045166
+0.00370932
+0.00182195
+-0.000272749
+0.000148978
+0.00220221
+0.00430852
+0.00642747
+0.008517
+0.0105845
+0.0126934
+0.0178844
+0.016174
+0.0145555
+0.0130223
+0.0116331
+0.010386
+0.0093302
+0.00863321
+0.00834685
+0.00841118
+0.00891774
+0.00971634
+0.0106979
+0.0119244
+0.013293
+0.0148349
+0.0164792
+0.0181794
+0.0198977
+0.0216324
+0.0233756
+0.0251542
+0.0269047
+0.0286263
+0.0294866
+0.0302285
+0.0298401
+0.0289066
+0.0281132
+0.027472
+0.0269938
+0.0266807
+0.0265172
+0.0265341
+0.0267311
+0.0258302
+0.024312
+0.022903
+0.0216244
+0.0204558
+0.0194517
+0.0185928
+0.0177472
+0.0165964
+0.0155496
+0.0147161
+0.0140604
+0.013446
+0.0129118
+0.0120677
+0.0100125
+0.00796667
+0.00597778
+0.00388786
+0.00180516
+-0.000369499
+-0.00253508
+-0.00468687
+-0.00686032
+-0.0090421
+-0.0111556
+-0.0103612
+-0.00831533
+-0.00636237
+-0.00449104
+-0.00256905
+-0.000561931
+0.00137074
+0.0031459
+0.00511133
+0.0068856
+0.00874483
+0.00915819
+0.00993756
+0.0110021
+0.0122499
+0.0137358
+0.0153019
+0.0169759
+0.0187359
+0.0205672
+0.0190146
+0.0171395
+0.015347
+0.0135863
+0.0118931
+0.0100764
+0.00843915
+0.00710622
+0.00601627
+0.00428089
+0.00223649
+0.000231562
+-0.000487926
+0.00160116
+0.00369381
+0.00581927
+0.00796005
+0.0100521
+0.0121392
+0.0184776
+0.0168059
+0.0151926
+0.0136941
+0.0123815
+0.0113039
+0.0104039
+0.00975404
+0.00944144
+0.00957814
+0.0101345
+0.0109766
+0.0119332
+0.0131041
+0.0144727
+0.0160081
+0.0175517
+0.0191876
+0.0208894
+0.022665
+0.0244914
+0.0262374
+0.0280212
+0.0298164
+0.030553
+0.0312144
+0.0301646
+0.0292415
+0.0284574
+0.0278241
+0.0273521
+0.0270431
+0.0268818
+0.0268985
+0.0270929
+0.0265562
+0.025082
+0.0237188
+0.0224867
+0.0213652
+0.0204058
+0.0195418
+0.0184391
+0.0173409
+0.0163349
+0.0155096
+0.0148849
+0.0143521
+0.0138023
+0.0116735
+0.00957261
+0.00742226
+0.00526328
+0.00314462
+0.00112176
+-0.000877331
+-0.00295066
+-0.00503816
+-0.00717582
+-0.0093381
+-0.0115111
+-0.0111247
+-0.00917704
+-0.00734268
+-0.00544267
+-0.00343247
+-0.00157387
+0.000263127
+0.00222121
+0.00413922
+0.00601293
+0.00696475
+0.00736879
+0.0082524
+0.00955155
+0.0109928
+0.0125227
+0.0141664
+0.0159335
+0.0177951
+0.019714
+0.0201747
+0.0184095
+0.0165992
+0.0147623
+0.0129774
+0.0113359
+0.00990494
+0.0085541
+0.00693888
+0.00490592
+0.00281629
+0.000715451
+-0.00101797
+0.00109298
+0.00319145
+0.00531791
+0.00748018
+0.00957111
+0.0116205
+0.0188078
+0.0173731
+0.0160588
+0.01463
+0.0134083
+0.012399
+0.0116582
+0.0110655
+0.0107505
+0.0108706
+0.0113686
+0.012214
+0.0132356
+0.0143234
+0.0156171
+0.0170613
+0.0186337
+0.0203132
+0.0219577
+0.0236533
+0.0254246
+0.027257
+0.0291387
+0.0309287
+0.031715
+0.0316766
+0.0306426
+0.0297343
+0.0289636
+0.0283417
+0.0278784
+0.0275753
+0.0274171
+0.0274335
+0.0276241
+0.0274384
+0.0260142
+0.0247025
+0.0235219
+0.0224523
+0.0215333
+0.020524
+0.0193556
+0.0182992
+0.0173263
+0.0163647
+0.0152307
+0.014226
+0.0134225
+0.011323
+0.00914197
+0.00696701
+0.00480635
+0.00269202
+0.000616029
+-0.00149105
+-0.00351181
+-0.00557205
+-0.0077046
+-0.00986268
+-0.0119587
+-0.0120732
+-0.0102888
+-0.00832505
+-0.00640859
+-0.00456304
+-0.00264648
+-0.000561294
+0.00149492
+0.00323144
+0.00520089
+0.00525112
+0.00577545
+0.00685914
+0.008282
+0.00977445
+0.011421
+0.0132264
+0.0151339
+0.0170831
+0.0190616
+0.0210803
+0.0193955
+0.0175532
+0.0157798
+0.0141178
+0.0125428
+0.0110737
+0.00954725
+0.00745944
+0.00530782
+0.00320488
+0.00108845
+-0.00103424
+0.000712333
+0.00279859
+0.00491683
+0.00700319
+0.00910865
+0.0112362
+0.0190497
+0.0176925
+0.0165097
+0.0155037
+0.0146064
+0.0136687
+0.0130004
+0.0125493
+0.0122699
+0.0123753
+0.0127945
+0.0135513
+0.0145763
+0.0157039
+0.016932
+0.0182726
+0.0197656
+0.0213743
+0.0230624
+0.0247962
+0.0264912
+0.0282545
+0.0300741
+0.0319403
+0.0329768
+0.0322628
+0.0312482
+0.0303581
+0.0296036
+0.0289954
+0.028538
+0.028237
+0.0280995
+0.0281154
+0.0283015
+0.0284622
+0.0270919
+0.0258349
+0.0246976
+0.023675
+0.0227828
+0.0211418
+0.0195455
+0.0180645
+0.0167241
+0.0154629
+0.0142483
+0.0132255
+0.0125065
+0.010918
+0.00875354
+0.00658703
+0.00444415
+0.00232686
+0.000150238
+-0.00194777
+-0.00407478
+-0.00619846
+-0.00829701
+-0.0103967
+-0.012474
+-0.0131277
+-0.011195
+-0.00930842
+-0.0074544
+-0.00536937
+-0.00324867
+-0.00118694
+0.00064262
+0.00263482
+0.0038777
+0.00397693
+0.00449682
+0.00564219
+0.00715482
+0.00875541
+0.0105621
+0.0124922
+0.0144966
+0.0165483
+0.0185075
+0.0204554
+0.0196013
+0.0177624
+0.0159937
+0.0142079
+0.012504
+0.0109311
+0.00951953
+0.00777423
+0.00562123
+0.00349204
+0.00139717
+-0.000674435
+0.000402615
+0.00244715
+0.0045365
+0.00665128
+0.00877915
+0.0108923
+0.0194899
+0.0181899
+0.0170423
+0.0160984
+0.0153637
+0.0148861
+0.0145145
+0.014116
+0.0139206
+0.0140137
+0.0143853
+0.0150623
+0.0159929
+0.017092
+0.0183149
+0.0196163
+0.0210141
+0.0225385
+0.0241655
+0.0258758
+0.0276295
+0.0293818
+0.0311355
+0.0329416
+0.0340841
+0.0329801
+0.0319883
+0.0311194
+0.0303838
+0.0297912
+0.0293398
+0.0290471
+0.0289122
+0.0289278
+0.0291086
+0.0294485
+0.0282984
+0.0270875
+0.0259797
+0.0241149
+0.0223021
+0.020563
+0.0189179
+0.0173836
+0.0159862
+0.0147825
+0.0135217
+0.0124673
+0.0116262
+0.0107231
+0.0085335
+0.00634471
+0.00415792
+0.00197465
+-0.000208657
+-0.00235938
+-0.0043201
+-0.00638439
+-0.00849588
+-0.0106395
+-0.012799
+-0.0140619
+-0.0122122
+-0.0101719
+-0.00809133
+-0.00608271
+-0.00402318
+-0.00185656
+0.000195373
+0.00197165
+0.00266819
+0.00272902
+0.00315083
+0.00460772
+0.0063134
+0.00804233
+0.0098318
+0.0117117
+0.013659
+0.0156419
+0.0176342
+0.0196677
+0.0199212
+0.0180096
+0.0161024
+0.0142678
+0.0124654
+0.0107955
+0.00930465
+0.00805875
+0.00607399
+0.00395573
+0.00186535
+-0.00022714
+-6.26351e-05
+0.00202127
+0.00412684
+0.00626045
+0.00842178
+0.0105952
+0.0200526
+0.0188264
+0.017761
+0.0168896
+0.0162239
+0.0158018
+0.0156272
+0.0157298
+0.0156353
+0.0157314
+0.0161113
+0.0167199
+0.0175525
+0.0185755
+0.019737
+0.0210296
+0.0224076
+0.0238431
+0.0253866
+0.0270198
+0.0287222
+0.0304672
+0.0322667
+0.0340547
+0.0349016
+0.0338244
+0.0328581
+0.0320127
+0.0312982
+0.0307167
+0.0302792
+0.0299957
+0.0298639
+0.0298789
+0.0300541
+0.0303845
+0.0295694
+0.0276086
+0.0256849
+0.0238074
+0.0219737
+0.0202064
+0.0185297
+0.0169603
+0.0155248
+0.0142244
+0.0129283
+0.0117128
+0.0107835
+0.0101818
+0.00842936
+0.0062402
+0.00405269
+0.00187264
+-0.000264551
+-0.00221502
+-0.00415553
+-0.00615294
+-0.00804344
+-0.0100335
+-0.0120803
+-0.0139244
+-0.0129008
+-0.0109208
+-0.00877732
+-0.00666464
+-0.00462464
+-0.00259676
+-0.000501456
+0.00141846
+0.00138286
+0.00135429
+0.00189171
+0.00330839
+0.00500108
+0.00684387
+0.00878925
+0.0108193
+0.0128843
+0.0148868
+0.0169287
+0.0190038
+0.0200062
+0.0180363
+0.0161222
+0.0142007
+0.0123472
+0.0106229
+0.00902676
+0.00765354
+0.00628384
+0.00444618
+0.00247298
+0.000455733
+-0.00044367
+0.00171213
+0.00389601
+0.00608477
+0.00827457
+0.0104647
+0.0207094
+0.0195626
+0.0185789
+0.0177705
+0.017162
+0.0168186
+0.0166967
+0.0168109
+0.0172055
+0.017536
+0.0178804
+0.0184535
+0.0192355
+0.0201737
+0.0212614
+0.0224935
+0.0238381
+0.0252701
+0.026727
+0.0282786
+0.0299104
+0.0316098
+0.0333514
+0.0351397
+0.0358319
+0.0347834
+0.0338445
+0.0330244
+0.0323322
+0.0317667
+0.0313438
+0.03107
+0.0309417
+0.0309562
+0.0311252
+0.0314455
+0.0294542
+0.0274852
+0.0255522
+0.0236642
+0.0218329
+0.02006
+0.0183556
+0.0167644
+0.015322
+0.0139294
+0.0125153
+0.0112553
+0.0103108
+0.00970461
+0.00859935
+0.0064405
+0.00431076
+0.00221447
+0.00024901
+-0.0013744
+-0.00316453
+-0.00515499
+-0.0072553
+-0.00922239
+-0.0110504
+-0.0128259
+-0.0135907
+-0.0115276
+-0.00950993
+-0.00733017
+-0.0051597
+-0.00301733
+-0.000913812
+-1.46692e-05
+-0.000576698
+-0.000738204
+0.000318168
+0.0020039
+0.00397379
+0.00604053
+0.00804623
+0.0101288
+0.0122138
+0.0142684
+0.0163584
+0.0184701
+0.0200126
+0.0180103
+0.0160573
+0.0141645
+0.0123118
+0.0105027
+0.00875943
+0.00724469
+0.00598867
+0.00448107
+0.00276564
+0.00094869
+-0.000340734
+0.00182897
+0.00399976
+0.00618227
+0.00836907
+0.0105575
+0.0214366
+0.0203485
+0.0194193
+0.0186583
+0.0181309
+0.0178585
+0.0177682
+0.0179273
+0.0183317
+0.0189433
+0.0197318
+0.0202518
+0.0209692
+0.0218465
+0.0228817
+0.0240467
+0.0253291
+0.026706
+0.0281416
+0.0296412
+0.0312017
+0.0328344
+0.0345288
+0.0362708
+0.0368663
+0.0358481
+0.0349378
+0.034144
+0.033475
+0.0329291
+0.0325213
+0.0322575
+0.0321328
+0.0321468
+0.0323096
+0.0314971
+0.0295017
+0.027536
+0.0256069
+0.0237233
+0.0218969
+0.0201297
+0.0184317
+0.0168477
+0.0153633
+0.0139184
+0.0124788
+0.0112147
+0.0102665
+0.00965754
+0.00912853
+0.00709784
+0.00503197
+0.0030736
+0.00134208
+-0.000336606
+-0.0024397
+-0.00453795
+-0.00643192
+-0.00812701
+-0.00982471
+-0.0113418
+-0.0127312
+-0.0119047
+-0.0099104
+-0.00780829
+-0.00576808
+-0.0038449
+-0.00227663
+-0.00182082
+-0.00251341
+-0.00249133
+-0.000600371
+0.00136556
+0.00333982
+0.00546088
+0.00746443
+0.00953643
+0.0116456
+0.0137803
+0.0159301
+0.0180898
+0.0201444
+0.0181567
+0.0161771
+0.0141788
+0.0122397
+0.0103597
+0.00858594
+0.00692979
+0.00553848
+0.00438786
+0.00275396
+0.00115908
+0.00012692
+0.00208551
+0.00426335
+0.00644666
+0.00863323
+0.0108214
+0.02232
+0.0213002
+0.0203843
+0.0196601
+0.0191603
+0.0189028
+0.0188585
+0.0190573
+0.0195016
+0.0201255
+0.0209361
+0.0218921
+0.0227346
+0.0235509
+0.0245259
+0.0256295
+0.0268531
+0.0281823
+0.0295472
+0.0310061
+0.0325471
+0.0341557
+0.0357876
+0.0374763
+0.037999
+0.037012
+0.036131
+0.035364
+0.0347185
+0.0341925
+0.0338
+0.0335462
+0.0334253
+0.0334387
+0.0335953
+0.0316933
+0.0297111
+0.0277603
+0.0258479
+0.0239832
+0.0221782
+0.0204353
+0.018765
+0.0172117
+0.0157026
+0.0142272
+0.0128222
+0.0115955
+0.0106812
+0.0100808
+0.00989666
+0.00794026
+0.006035
+0.0040288
+0.0021355
+0.000336621
+-0.00167074
+-0.00350484
+-0.0051427
+-0.00685492
+-0.00830576
+-0.00978712
+-0.0108912
+-0.00997082
+-0.00916823
+-0.00764717
+-0.00595046
+-0.00435755
+-0.00285658
+-0.00205276
+-0.00272817
+-0.00242028
+-0.000829717
+0.000996579
+0.00295728
+0.0050412
+0.00717003
+0.00930781
+0.0114591
+0.013623
+0.0157943
+0.0179703
+0.0201495
+0.0182641
+0.0161837
+0.0141366
+0.0121398
+0.0102149
+0.00836856
+0.00666532
+0.00519502
+0.00399873
+0.00272973
+0.00136837
+0.000539274
+0.00232702
+0.00443367
+0.00657965
+0.00874401
+0.0109189
+0.0233702
+0.0223724
+0.0214924
+0.0208069
+0.0203353
+0.0200928
+0.0200523
+0.0202394
+0.0206583
+0.0212955
+0.0221321
+0.0231313
+0.0242255
+0.0253302
+0.0262391
+0.027278
+0.0284372
+0.0297068
+0.0310439
+0.0324356
+0.0339117
+0.0354618
+0.0370766
+0.0387479
+0.0392215
+0.038266
+0.0374146
+0.0366744
+0.0360524
+0.0355461
+0.0351687
+0.0349249
+0.0348077
+0.0348206
+0.034026
+0.0320384
+0.030079
+0.0281537
+0.0262699
+0.0244375
+0.0226687
+0.0209666
+0.0193422
+0.0178121
+0.0163312
+0.0148561
+0.0135164
+0.0123589
+0.0114739
+0.0109103
+0.0107693
+0.00883092
+0.00673755
+0.00471756
+0.00285368
+0.00125737
+-0.000513745
+-0.00212861
+-0.00394298
+-0.00533854
+-0.00673942
+-0.00825788
+-0.00880322
+-0.00810939
+-0.00740217
+-0.00609941
+-0.00471804
+-0.0032648
+-0.00203984
+-0.00118057
+-0.00205469
+-0.00174493
+-0.000438429
+0.00124725
+0.0032554
+0.00530931
+0.00743534
+0.00955167
+0.0116877
+0.0138158
+0.0159609
+0.0181169
+0.0202803
+0.0182909
+0.0162095
+0.014161
+0.0121623
+0.0101495
+0.00821242
+0.0064308
+0.00477764
+0.00335907
+0.00244712
+0.00132672
+0.00105094
+0.0027021
+0.00475216
+0.00688534
+0.00904607
+0.0111556
+0.0245508
+0.023585
+0.0227521
+0.0221056
+0.0216623
+0.0214349
+0.0213998
+0.0215752
+0.0219687
+0.0225689
+0.0233599
+0.0243231
+0.025439
+0.0266729
+0.0279139
+0.0289942
+0.030096
+0.0312998
+0.0326051
+0.0339463
+0.0353594
+0.0368487
+0.0384052
+0.0400211
+0.0405255
+0.0396016
+0.0387795
+0.0380659
+0.0374669
+0.03698
+0.0366174
+0.0363833
+0.0362699
+0.0362822
+0.0344872
+0.0325277
+0.0305997
+0.0287093
+0.0268646
+0.0250756
+0.0233551
+0.021707
+0.019995
+0.0183426
+0.0167792
+0.0153656
+0.0141514
+0.0131334
+0.0123685
+0.0118805
+0.011542
+0.00951315
+0.00753918
+0.00570084
+0.00386951
+0.0022778
+0.000576531
+-0.00107496
+-0.00257994
+-0.00377473
+-0.00523428
+-0.00672491
+-0.00678033
+-0.00619769
+-0.00563234
+-0.00445342
+-0.00308909
+-0.00191613
+-0.000825299
+-0.000561981
+-0.00161007
+-0.00106994
+0.000249605
+0.00184045
+0.00366481
+0.00566384
+0.00773269
+0.00980527
+0.0119202
+0.0140583
+0.0162105
+0.0183718
+0.0205393
+0.018443
+0.0163421
+0.0142682
+0.0122028
+0.0101635
+0.00818333
+0.00628264
+0.00443984
+0.00280523
+0.00158401
+0.000604081
+0.00109007
+0.00267298
+0.00451099
+0.00644132
+0.00833476
+0.0103377
+0.0258471
+0.0249316
+0.0241451
+0.0235369
+0.0231211
+0.0229081
+0.0228753
+0.0230395
+0.0234084
+0.0239726
+0.0247187
+0.0256309
+0.0266922
+0.0278854
+0.0291945
+0.0305019
+0.0318059
+0.0329615
+0.0342034
+0.0355187
+0.0368805
+0.0383107
+0.0398101
+0.0413711
+0.0419036
+0.0410107
+0.0402174
+0.0395298
+0.0389534
+0.0384852
+0.0381369
+0.0379122
+0.0378025
+0.0370334
+0.0350793
+0.0331549
+0.0312655
+0.0294179
+0.0276206
+0.0258509
+0.0239977
+0.0222008
+0.0204808
+0.0188546
+0.0173337
+0.0159693
+0.0148047
+0.0138814
+0.0132001
+0.0127634
+0.0123765
+0.010471
+0.00856628
+0.00666721
+0.00492351
+0.00351871
+0.00174474
+1.84247e-05
+-0.00135863
+-0.00231227
+-0.00369668
+-0.00530923
+-0.00484445
+-0.00441641
+-0.00387022
+-0.00274481
+-0.00146439
+-0.000606299
+0.000550516
+5.06591e-05
+-0.000608284
+-0.00027503
+0.000889957
+0.00234618
+0.00423854
+0.0062898
+0.00837743
+0.0103582
+0.0123928
+0.0144612
+0.0165611
+0.0186819
+0.0206894
+0.0185793
+0.0164367
+0.0143086
+0.0122027
+0.0101307
+0.00808586
+0.00613661
+0.00422573
+0.00246869
+0.000925352
+-8.25269e-05
+0.000348277
+0.00176835
+0.00354008
+0.0055504
+0.00765054
+0.00971723
+0.027258
+0.0263915
+0.0256498
+0.0250782
+0.0246883
+0.024489
+0.0244583
+0.0246119
+0.0249575
+0.0254875
+0.0261905
+0.0270531
+0.0280606
+0.029198
+0.0304508
+0.0318035
+0.0331633
+0.034551
+0.0358644
+0.0371156
+0.038449
+0.0398395
+0.0412834
+0.0427908
+0.0433487
+0.0424861
+0.0417209
+0.0410585
+0.0405038
+0.0400538
+0.0397193
+0.0395036
+0.0393173
+0.0377129
+0.0357959
+0.0339122
+0.0320675
+0.0301596
+0.0282705
+0.026401
+0.0245846
+0.022834
+0.0211655
+0.0195962
+0.0181376
+0.0168385
+0.0157384
+0.0148741
+0.0142401
+0.013829
+0.0133734
+0.0114222
+0.00956683
+0.00785617
+0.00629071
+0.0048185
+0.00309557
+0.0014108
+-7.46379e-05
+-0.00103238
+-0.00233603
+-0.00351695
+-0.00303937
+-0.00279305
+-0.00196337
+-0.000914492
+8.05831e-05
+0.000470401
+0.00183037
+0.000739081
+0.000457931
+0.00086397
+0.00163757
+0.00303191
+0.00486047
+0.00686064
+0.0089078
+0.0109716
+0.0130767
+0.0151473
+0.0171786
+0.0192366
+0.0208374
+0.0186969
+0.0165464
+0.014407
+0.0122857
+0.0101938
+0.00815398
+0.00618816
+0.00435365
+0.00272474
+0.00108832
+-0.00039131
+-8.51841e-05
+0.00101616
+0.00294913
+0.00503305
+0.00715629
+0.00923207
+0.0287667
+0.027947
+0.0272477
+0.0267103
+0.0263446
+0.0261579
+0.0261292
+0.026273
+0.0265971
+0.027095
+0.0277573
+0.0285727
+0.0295284
+0.0306113
+0.0318084
+0.0331057
+0.034476
+0.0358743
+0.0373202
+0.0387622
+0.0400461
+0.0413979
+0.0428071
+0.0442734
+0.0448542
+0.0440212
+0.0432831
+0.0426449
+0.0421111
+0.0416785
+0.0410063
+0.0396282
+0.0383257
+0.0370928
+0.0359512
+0.0346255
+0.0327024
+0.0308082
+0.0289368
+0.0271132
+0.0253479
+0.0236539
+0.0220417
+0.0205232
+0.0191355
+0.0179089
+0.0168786
+0.0160743
+0.0154882
+0.0150991
+0.0143488
+0.0125475
+0.0108668
+0.00922964
+0.00780736
+0.00617815
+0.00449387
+0.00292961
+0.00145681
+0.000259102
+-0.000843292
+-0.00155334
+-0.00162431
+-0.00112603
+-0.000262694
+0.00066107
+0.00144222
+0.00219073
+0.00260184
+0.00158984
+0.00147649
+0.00212711
+0.00280141
+0.00408107
+0.00566113
+0.00748698
+0.00943914
+0.0114746
+0.0135351
+0.0156308
+0.0177495
+0.0198829
+0.0210499
+0.0189214
+0.0167988
+0.0146962
+0.0126195
+0.0105743
+0.0085749
+0.00657858
+0.00466249
+0.0029191
+0.00133527
+-0.000287932
+-0.0001702
+0.000979078
+0.00291734
+0.00490538
+0.006963
+0.00908306
+0.030354
+0.0295668
+0.0289067
+0.0284007
+0.0280571
+0.0278818
+0.0278722
+0.0280071
+0.0283113
+0.0287795
+0.029404
+0.0301749
+0.0310813
+0.0321119
+0.0332551
+0.034498
+0.0358151
+0.0372144
+0.0386417
+0.0401083
+0.0416194
+0.0429971
+0.0443658
+0.0457869
+0.0464143
+0.0456098
+0.0448978
+0.0442829
+0.0431711
+0.0416345
+0.0401585
+0.0387503
+0.0374174
+0.0361682
+0.0350014
+0.033684
+0.0322765
+0.0309602
+0.0297472
+0.0279793
+0.0262714
+0.0246249
+0.0230684
+0.0216221
+0.0203096
+0.0191583
+0.018199
+0.0174356
+0.0168967
+0.0165546
+0.0155711
+0.0138969
+0.0122473
+0.0107578
+0.00923099
+0.00758846
+0.00599817
+0.00445316
+0.00315883
+0.00194058
+0.000832445
+0.000419938
+0.000384858
+0.000732261
+0.00140725
+0.00224719
+0.00311696
+0.00396806
+0.00340074
+0.00250534
+0.00256572
+0.00350157
+0.00413999
+0.00538252
+0.00676148
+0.00836225
+0.0101474
+0.0120669
+0.0140533
+0.0160816
+0.0181477
+0.02024
+0.0214734
+0.019374
+0.0172947
+0.0152464
+0.0131684
+0.011125
+0.00912099
+0.0071181
+0.00523223
+0.00349044
+0.00177421
+0.000112922
+-0.000358142
+0.00112937
+0.00304733
+0.00505763
+0.00716037
+0.009275
+0.0320115
+0.0312521
+0.0306283
+0.0301512
+0.0298277
+0.029663
+0.0296595
+0.0298013
+0.0300874
+0.0305284
+0.0311178
+0.0318472
+0.0327074
+0.0336882
+0.0347796
+0.0359699
+0.037235
+0.0385828
+0.0400052
+0.0414559
+0.0429388
+0.0444773
+0.0459662
+0.0473505
+0.0480227
+0.0472456
+0.0457552
+0.0440931
+0.042479
+0.0409172
+0.0394145
+0.0379786
+0.0366177
+0.0353402
+0.0341555
+0.0327299
+0.0312796
+0.0299194
+0.0286624
+0.0275225
+0.026515
+0.0256392
+0.02425
+0.0228786
+0.0216424
+0.020552
+0.0196402
+0.0189391
+0.0184501
+0.0181524
+0.0169388
+0.0152971
+0.0137733
+0.0123065
+0.0106847
+0.0090822
+0.00752961
+0.00616499
+0.0043934
+0.00289497
+0.0024254
+0.00250191
+0.00252731
+0.00289837
+0.00340514
+0.00413703
+0.00502713
+0.00559435
+0.00429323
+0.00351769
+0.00366454
+0.00450602
+0.00544408
+0.00650846
+0.00784666
+0.00940568
+0.0111591
+0.012964
+0.0148428
+0.0167973
+0.0187945
+0.0208219
+0.0220602
+0.0199667
+0.0178964
+0.0158533
+0.0137876
+0.0117645
+0.00981355
+0.0079393
+0.00623747
+0.00426094
+0.00227375
+0.000390634
+-0.000767729
+0.000717163
+0.00257055
+0.00463087
+0.00676487
+0.0089257
+0.0337191
+0.0329967
+0.0324066
+0.031956
+0.031651
+0.0314958
+0.0314926
+0.0316303
+0.0319
+0.0323163
+0.0328736
+0.0335649
+0.0343821
+0.0353165
+0.036359
+0.0375007
+0.0387268
+0.0400244
+0.0413973
+0.0428383
+0.0443079
+0.0458041
+0.0473508
+0.0489449
+0.0486923
+0.0469299
+0.0452049
+0.0435218
+0.0418858
+0.0403024
+0.0387768
+0.0373165
+0.0359304
+0.0346276
+0.0334177
+0.031898
+0.030408
+0.0290071
+0.0277087
+0.0265279
+0.025481
+0.0245674
+0.0238003
+0.0232153
+0.0228265
+0.0220358
+0.021188
+0.0205398
+0.0200905
+0.0197933
+0.0183631
+0.0168188
+0.0153338
+0.0137816
+0.0121733
+0.0106181
+0.00896483
+0.00716374
+0.00558031
+0.00445369
+0.00412987
+0.00465318
+0.00469429
+0.00507196
+0.00549978
+0.00613713
+0.00698311
+0.00614683
+0.0049619
+0.00447903
+0.0048085
+0.005528
+0.00667993
+0.00772516
+0.0090216
+0.0105953
+0.0121956
+0.0139238
+0.0157673
+0.0176902
+0.0196272
+0.0215932
+0.0226842
+0.0206185
+0.0185643
+0.0165451
+0.0145738
+0.0126424
+0.0108102
+0.00905451
+0.00698624
+0.00496206
+0.0028454
+0.000762106
+-0.00105303
+0.000223323
+0.00233363
+0.00450016
+0.00667392
+0.00885587
+0.0354778
+0.0347919
+0.0342327
+0.0338065
+0.0335184
+0.0333718
+0.0333688
+0.0335011
+0.0337558
+0.0341495
+0.0346774
+0.0353334
+0.0361106
+0.0370014
+0.0379977
+0.0390915
+0.0402749
+0.0415316
+0.0428562
+0.0442497
+0.0457058
+0.047191
+0.0486978
+0.050086
+0.0482751
+0.0464969
+0.0447552
+0.0430546
+0.0414
+0.0397974
+0.0382516
+0.0367704
+0.035363
+0.0340384
+0.032786
+0.0311842
+0.0296577
+0.0282189
+0.0268818
+0.0256623
+0.024578
+0.0236467
+0.0228514
+0.0222415
+0.0218352
+0.0216441
+0.0216672
+0.0216684
+0.0209995
+0.0205258
+0.0198806
+0.0183745
+0.0168671
+0.0152673
+0.0137087
+0.0118815
+0.0100921
+0.00849295
+0.0072077
+0.00637545
+0.00613372
+0.00660699
+0.00686896
+0.00725437
+0.00763271
+0.00822405
+0.00820389
+0.00680931
+0.00582946
+0.00543537
+0.00585395
+0.00686694
+0.00776836
+0.00892327
+0.0101209
+0.011605
+0.0132516
+0.0150223
+0.0168052
+0.0186212
+0.0205105
+0.0224547
+0.0233893
+0.0213792
+0.0194005
+0.0174533
+0.0155709
+0.0137773
+0.0117996
+0.00975139
+0.00762906
+0.0054771
+0.00335505
+0.00123468
+-0.000842058
+7.97977e-05
+0.00222338
+0.00439781
+0.00658304
+0.00877098
+0.0372822
+0.0366302
+0.0360995
+0.0356955
+0.0354228
+0.0352841
+0.0352812
+0.0354086
+0.0356497
+0.0360227
+0.0365235
+0.0371469
+0.0378869
+0.0387369
+0.0396897
+0.0407381
+0.041875
+0.0430933
+0.0443754
+0.0457226
+0.0471332
+0.0486016
+0.0500998
+0.0497771
+0.0479545
+0.0461639
+0.0444092
+0.0426947
+0.0410257
+0.0394078
+0.0378462
+0.0363484
+0.034924
+0.0335821
+0.0322258
+0.0305946
+0.0290372
+0.027566
+0.0261956
+0.0249425
+0.0238254
+0.0228641
+0.0220412
+0.0214082
+0.0209857
+0.0207868
+0.0208097
+0.0208968
+0.0201947
+0.0196923
+0.0194253
+0.0193613
+0.0183626
+0.0166888
+0.0148462
+0.0130989
+0.0115005
+0.0101262
+0.00907525
+0.00841137
+0.00819651
+0.00855644
+0.00904625
+0.00942442
+0.00974605
+0.00989422
+0.00851716
+0.00740814
+0.00672046
+0.00638311
+0.00673704
+0.0076377
+0.0088962
+0.00994627
+0.0112801
+0.0127033
+0.0142553
+0.0159415
+0.0177169
+0.0195743
+0.0214945
+0.0234012
+0.0242561
+0.0223024
+0.0203969
+0.0185546
+0.0166253
+0.0144949
+0.0123612
+0.0102388
+0.00810816
+0.00602087
+0.00400413
+0.00213175
+0.00101884
+0.00144833
+0.00300602
+0.00492393
+0.00696665
+0.00907863
+0.0391261
+0.0385053
+0.0380008
+0.0376173
+0.0373585
+0.0372271
+0.0372244
+0.0373471
+0.0375758
+0.0379299
+0.0384058
+0.0389992
+0.0397047
+0.0405165
+0.0414284
+0.0424339
+0.0435265
+0.0446998
+0.0459477
+0.0472512
+0.0486174
+0.0500423
+0.051422
+0.0495631
+0.0477323
+0.045933
+0.0441692
+0.0424451
+0.0407658
+0.0391371
+0.0375643
+0.0360549
+0.0346183
+0.0332641
+0.0318068
+0.030153
+0.0285715
+0.027075
+0.0256784
+0.0243989
+0.0232557
+0.0222697
+0.0214241
+0.0207722
+0.0203365
+0.0201312
+0.0201548
+0.0203099
+0.0195668
+0.0190478
+0.0187717
+0.0187054
+0.0188889
+0.0178472
+0.0161374
+0.014546
+0.0131251
+0.0119393
+0.011043
+0.0104837
+0.0103121
+0.0106005
+0.0112285
+0.0115444
+0.0104943
+0.00881224
+0.00726936
+0.00598096
+0.00522625
+0.00518573
+0.00592516
+0.00711245
+0.00843969
+0.0100722
+0.0118655
+0.0137197
+0.0154239
+0.0170435
+0.0187218
+0.020497
+0.0223461
+0.0242522
+0.0252509
+0.0233805
+0.0213858
+0.0192663
+0.0171379
+0.0150274
+0.0129436
+0.0108766
+0.00882017
+0.00684755
+0.00503235
+0.00360686
+0.00291807
+0.00321927
+0.00435889
+0.00602692
+0.0078661
+0.00982032
+0.0410041
+0.0404122
+0.0399318
+0.039567
+0.0393211
+0.0391962
+0.0391936
+0.039312
+0.0395295
+0.0398662
+0.0403193
+0.0408849
+0.0415584
+0.0423347
+0.0432082
+0.0441732
+0.0452238
+0.0463542
+0.0475587
+0.0488302
+0.0501534
+0.0515359
+0.0513085
+0.0494453
+0.04761
+0.045806
+0.044037
+0.0423075
+0.0406226
+0.0389879
+0.0374088
+0.0358928
+0.0344495
+0.0330884
+0.0315348
+0.029866
+0.0282684
+0.026755
+0.0253408
+0.0240432
+0.0228823
+0.0218795
+0.0210181
+0.0203533
+0.0199085
+0.0196986
+0.0197228
+0.019928
+0.01917
+0.0186399
+0.0183577
+0.01829
+0.0184775
+0.0189186
+0.0176074
+0.0161615
+0.0148954
+0.0138423
+0.0130652
+0.0125962
+0.0124538
+0.0126935
+0.0132949
+0.0116094
+0.00963857
+0.00777644
+0.00607081
+0.00467128
+0.00369867
+0.00369412
+0.00463339
+0.00584732
+0.00740214
+0.00916235
+0.0110393
+0.0130034
+0.0150182
+0.0170763
+0.0191638
+0.0212721
+0.0229607
+0.0240911
+0.0253605
+0.0240534
+0.0219519
+0.0198697
+0.0177846
+0.015716
+0.0136855
+0.0117127
+0.00983153
+0.00807581
+0.00658569
+0.0054946
+0.00502468
+0.00525336
+0.00610608
+0.00740507
+0.0090461
+0.0108556
+0.0429118
+0.0423465
+0.0418883
+0.0415407
+0.0413066
+0.0411877
+0.0411853
+0.0412989
+0.0415069
+0.0418277
+0.0422597
+0.0427997
+0.0434435
+0.0441867
+0.0450243
+0.0459512
+0.046962
+0.0480516
+0.0492145
+0.0504458
+0.0517366
+0.0530779
+0.0512884
+0.0494245
+0.0475884
+0.0457835
+0.0440136
+0.0422831
+0.0405972
+0.0389615
+0.0373812
+0.0358641
+0.0344196
+0.0330573
+0.0314136
+0.029738
+0.0281331
+0.026612
+0.0251898
+0.023884
+0.0227149
+0.0217044
+0.0208358
+0.020165
+0.0197159
+0.019504
+0.0195284
+0.0197584
+0.0190188
+0.0184845
+0.0181998
+0.0181315
+0.0183207
+0.0187655
+0.0192152
+0.0178997
+0.0167472
+0.0158101
+0.0151344
+0.0147315
+0.0146099
+0.0147468
+0.0129415
+0.0108389
+0.00877574
+0.00679056
+0.0049159
+0.00323502
+0.00206235
+0.00225405
+0.00363513
+0.00510942
+0.00672171
+0.00857654
+0.0105304
+0.0125574
+0.0146241
+0.0167224
+0.0188418
+0.0209758
+0.0222999
+0.0234621
+0.0247638
+0.0247036
+0.0226312
+0.0205834
+0.0185682
+0.0165976
+0.0146894
+0.012859
+0.0111494
+0.00963658
+0.00839805
+0.00754714
+0.00718178
+0.0073524
+0.00800905
+0.0091033
+0.0104817
+0.0121021
+0.0448454
+0.0443048
+0.043867
+0.0435352
+0.0433118
+0.0431985
+0.0431962
+0.0433048
+0.0435047
+0.0438108
+0.0442235
+0.0447398
+0.0453561
+0.0460685
+0.0468725
+0.0477635
+0.0487367
+0.0497874
+0.0509107
+0.052102
+0.0533567
+0.0532455
+0.0513579
+0.0494953
+0.0476606
+0.0458571
+0.0440888
+0.0423599
+0.0406756
+0.0390415
+0.0374643
+0.0359515
+0.0345115
+0.0331538
+0.0314449
+0.029771
+0.0281681
+0.026649
+0.0252288
+0.0239252
+0.0227547
+0.0217405
+0.0208718
+0.0202021
+0.0197539
+0.0195424
+0.0195469
+0.0197766
+0.0191192
+0.0185877
+0.0182858
+0.0182118
+0.0184001
+0.018843
+0.0195231
+0.0197111
+0.0186659
+0.01783
+0.0172336
+0.0168809
+0.016378
+0.0146969
+0.0125209
+0.0103513
+0.00819281
+0.0060575
+0.00395466
+0.00197684
+0.000331334
+0.000844318
+0.00251863
+0.00448938
+0.00641371
+0.00831053
+0.0103243
+0.0123983
+0.0144949
+0.016609
+0.0187407
+0.0208146
+0.0218398
+0.0230252
+0.0243504
+0.0254627
+0.0234576
+0.0214886
+0.0195669
+0.0177053
+0.0159135
+0.0142336
+0.0127103
+0.0114038
+0.010339
+0.00965828
+0.00935449
+0.00948912
+0.0100301
+0.0109481
+0.0121449
+0.0135681
+0.0468016
+0.0462838
+0.045865
+0.0455478
+0.0453343
+0.045226
+0.0452238
+0.0453275
+0.0455202
+0.0458129
+0.0462078
+0.0467021
+0.0472928
+0.0479764
+0.048749
+0.0496063
+0.0505441
+0.051558
+0.0526435
+0.0537964
+0.0550124
+0.0533888
+0.0515064
+0.0496494
+0.0478206
+0.0460234
+0.0442617
+0.0425398
+0.0408629
+0.0392366
+0.0376676
+0.0361633
+0.0347321
+0.0333337
+0.0316085
+0.0299444
+0.0283519
+0.0268405
+0.0254265
+0.0241287
+0.022967
+0.0219627
+0.0211031
+0.020441
+0.0199982
+0.0197893
+0.0197937
+0.0200206
+0.0194232
+0.0189002
+0.0185994
+0.0185266
+0.0187118
+0.0191475
+0.0198171
+0.0206981
+0.0206389
+0.019886
+0.0193531
+0.018338
+0.0168342
+0.0146482
+0.0124638
+0.0102821
+0.00810517
+0.00593838
+0.00378735
+0.00167986
+-5.74423e-06
+0.000650248
+0.00252901
+0.00453689
+0.00662941
+0.00855601
+0.0105229
+0.0125642
+0.014637
+0.0167331
+0.0188508
+0.0205557
+0.0215931
+0.0227914
+0.0241295
+0.0255485
+0.0244528
+0.0225709
+0.0207403
+0.0189821
+0.0173228
+0.0157936
+0.0144358
+0.0132675
+0.0123636
+0.0117839
+0.011534
+0.0116459
+0.0121104
+0.0128809
+0.0139546
+0.0152094
+0.0487778
+0.0482812
+0.0478798
+0.047576
+0.0473717
+0.0472681
+0.047266
+0.0473652
+0.0475513
+0.0478316
+0.0482099
+0.0486839
+0.0492509
+0.0499076
+0.0506507
+0.0514764
+0.0523807
+0.0533597
+0.0544093
+0.0555256
+0.0555183
+0.0536212
+0.0517473
+0.0498992
+0.0480799
+0.0462928
+0.0445417
+0.0428312
+0.0411661
+0.0395523
+0.0379963
+0.0365056
+0.0350883
+0.033622
+0.0319125
+0.030265
+0.0286903
+0.0271978
+0.0258034
+0.0245256
+0.0233836
+0.0223979
+0.0215557
+0.020908
+0.0204752
+0.0202713
+0.0202756
+0.0204971
+0.019914
+0.0194043
+0.0191333
+0.0190893
+0.0192691
+0.0196924
+0.0203441
+0.0212032
+0.0222456
+0.0219681
+0.0205797
+0.0192017
+0.0170367
+0.0148793
+0.0127332
+0.0106054
+0.00850663
+0.00646059
+0.00454582
+0.00287787
+0.0020659
+0.00228848
+0.00355956
+0.00533817
+0.00721046
+0.00906802
+0.0109762
+0.0129639
+0.0150082
+0.0170889
+0.019194
+0.0205285
+0.0215673
+0.022767
+0.0241064
+0.0255268
+0.0255943
+0.0237915
+0.022059
+0.0204147
+0.0188817
+0.0174893
+0.0162589
+0.015218
+0.0144369
+0.0139279
+0.0137171
+0.0138134
+0.0142223
+0.0148853
+0.0158249
+0.0169752
+0.0507715
+0.0502947
+0.0499095
+0.0496181
+0.0494222
+0.0493229
+0.0493209
+0.049416
+0.0495959
+0.0498647
+0.0502277
+0.0506828
+0.0512277
+0.0518595
+0.052575
+0.0533709
+0.0542436
+0.0551896
+0.056205
+0.0572863
+0.0558279
+0.0539416
+0.0520793
+0.0502434
+0.048437
+0.0466636
+0.044927
+0.0432317
+0.0415827
+0.0399857
+0.0384473
+0.0369747
+0.0355761
+0.0340492
+0.0323622
+0.0307389
+0.0291897
+0.0277241
+0.0263575
+0.0251079
+0.0239937
+0.0230342
+0.0222161
+0.0215882
+0.0211693
+0.0209721
+0.0209763
+0.0211905
+0.020627
+0.0201353
+0.0198743
+0.0198531
+0.0200514
+0.0204586
+0.0210867
+0.0219166
+0.0229266
+0.0230209
+0.0215952
+0.0196116
+0.0174974
+0.0154046
+0.0133433
+0.0113307
+0.00939538
+0.00756196
+0.0059234
+0.00473015
+0.00413235
+0.00424344
+0.00513543
+0.00655141
+0.00815156
+0.00984175
+0.0116917
+0.0136277
+0.0155852
+0.0175977
+0.0196484
+0.0207342
+0.0217631
+0.0229525
+0.0242695
+0.0256813
+0.0268534
+0.0251411
+0.0235082
+0.0219726
+0.0205562
+0.0192837
+0.0181525
+0.0172264
+0.0165404
+0.0160844
+0.0159023
+0.0159872
+0.0163434
+0.0169359
+0.0177674
+0.0188184
+0.0527809
+0.0523224
+0.0519522
+0.0516724
+0.0514843
+0.051389
+0.051387
+0.0514783
+0.0516526
+0.0519107
+0.0522595
+0.0526971
+0.0532213
+0.0538297
+0.0545193
+0.0552872
+0.0561302
+0.0570449
+0.0580279
+0.058116
+0.0562211
+0.0543486
+0.0525007
+0.0506801
+0.0488898
+0.0471334
+0.0454148
+0.0437384
+0.0421092
+0.040533
+0.0390162
+0.0375659
+0.0361902
+0.03461
+0.0329517
+0.0313589
+0.029842
+0.02841
+0.0270781
+0.0258634
+0.0247831
+0.0238403
+0.0230486
+0.0224435
+0.0220406
+0.0218508
+0.0218569
+0.0220626
+0.0215401
+0.0210698
+0.0208205
+0.0208002
+0.0210096
+0.0214099
+0.0220109
+0.0228072
+0.0237794
+0.0241168
+0.0223199
+0.0202515
+0.0182118
+0.0162115
+0.0142672
+0.0124034
+0.0106093
+0.00899239
+0.00766593
+0.00675179
+0.00624217
+0.00631299
+0.00697804
+0.00810776
+0.0094686
+0.0109811
+0.0126657
+0.0144864
+0.0163939
+0.0183556
+0.02033
+0.0211647
+0.0221718
+0.0233323
+0.0246033
+0.0259971
+0.0274949
+0.0266028
+0.0250654
+0.0236312
+0.0223202
+0.0211338
+0.0201066
+0.0192746
+0.0186638
+0.0182491
+0.0180888
+0.018165
+0.0184793
+0.0190178
+0.0197619
+0.020712
+0.0548042
+0.0543627
+0.0540065
+0.0537374
+0.0535566
+0.053465
+0.0534631
+0.0535508
+0.0537198
+0.053968
+0.0543036
+0.0547248
+0.0552298
+0.0558163
+0.0564817
+0.0572233
+0.0580381
+0.0589232
+0.0598754
+0.0585758
+0.0566964
+0.0548401
+0.0530093
+0.0512068
+0.0494356
+0.0476993
+0.0460019
+0.0443476
+0.0427417
+0.0411897
+0.0396979
+0.0382735
+0.0369242
+0.035298
+0.0336737
+0.0321167
+0.0306373
+0.0292444
+0.0279522
+0.0267771
+0.0257169
+0.0247919
+0.0240316
+0.0234519
+0.0230665
+0.0228853
+0.0228914
+0.0230879
+0.0226291
+0.0221819
+0.0219453
+0.021926
+0.0221248
+0.0225053
+0.0230777
+0.0238384
+0.0247702
+0.0251184
+0.0230929
+0.0211005
+0.0191514
+0.0172603
+0.0154271
+0.0136786
+0.0120752
+0.0106825
+0.0095927
+0.00876872
+0.0083843
+0.00843914
+0.00894752
+0.00984805
+0.0110106
+0.0123869
+0.0139167
+0.0155919
+0.0173786
+0.0192436
+0.0209675
+0.0217678
+0.0227469
+0.0238812
+0.0251245
+0.0264908
+0.0279622
+0.0281592
+0.0267115
+0.0253706
+0.0241445
+0.0230433
+0.022105
+0.0213511
+0.0207937
+0.0204194
+0.0202762
+0.0203456
+0.0206267
+0.0211217
+0.0217941
+0.0226591
+0.0568399
+0.0564143
+0.0560712
+0.055812
+0.0556379
+0.0555498
+0.0555479
+0.0556324
+0.0557964
+0.0560355
+0.0563587
+0.0567647
+0.0572517
+0.0578177
+0.0584603
+0.0591771
+0.0599654
+0.0608225
+0.060997
+0.0591134
+0.0572516
+0.0554139
+0.0536027
+0.0518208
+0.0500714
+0.048358
+0.0466844
+0.0450553
+0.0434755
+0.0419506
+0.0404869
+0.0390913
+0.0377428
+0.0360955
+0.0345088
+0.0329912
+0.0315529
+0.030205
+0.0289604
+0.0278129
+0.0267813
+0.0258943
+0.0251673
+0.0246144
+0.0242475
+0.0240752
+0.0240812
+0.0242682
+0.0238339
+0.0234097
+0.0231856
+0.0231674
+0.0233556
+0.0237452
+0.0242957
+0.0250194
+0.0259087
+0.0259931
+0.0240414
+0.0221345
+0.0202836
+0.0184753
+0.0167585
+0.0151643
+0.0137355
+0.0125287
+0.0115575
+0.0108532
+0.0105349
+0.0105646
+0.0109737
+0.0117115
+0.012725
+0.0139504
+0.0153742
+0.0169103
+0.0185706
+0.0203265
+0.0217958
+0.0225668
+0.0235127
+0.0246135
+0.0258215
+0.0271528
+0.0285902
+0.0297956
+0.0284313
+0.0271745
+0.0260175
+0.024999
+0.0241369
+0.0234483
+0.0229324
+0.0225936
+0.0224642
+0.0225282
+0.0227824
+0.0232404
+0.0238544
+0.0246472
+0.0588867
+0.058476
+0.0581451
+0.0578952
+0.0577274
+0.0576424
+0.0576406
+0.0577221
+0.0578815
+0.058112
+0.0584237
+0.0588155
+0.0592856
+0.0598324
+0.0604536
+0.061147
+0.0619102
+0.0627407
+0.0615914
+0.0597265
+0.0578845
+0.0560675
+0.0542781
+0.0525192
+0.0507938
+0.0491056
+0.0474584
+0.0458567
+0.0443055
+0.0428103
+0.041377
+0.0400124
+0.0386001
+0.036991
+0.0354443
+0.0339686
+0.0325734
+0.0312696
+0.0300691
+0.0289661
+0.027977
+0.0271292
+0.0264362
+0.0259103
+0.0255621
+0.0253986
+0.0254046
+0.0255819
+0.0251695
+0.0247681
+0.0245564
+0.0245392
+0.024717
+0.0250855
+0.0256365
+0.0263282
+0.0271747
+0.0270175
+0.0251454
+0.0233144
+0.0215378
+0.0198441
+0.0182565
+0.016805
+0.0155109
+0.0143887
+0.0135308
+0.0129287
+0.0126546
+0.0126833
+0.013026
+0.0136532
+0.0145637
+0.0156649
+0.0169467
+0.0183952
+0.0199328
+0.0215782
+0.0228052
+0.0235433
+0.0244514
+0.0255135
+0.0266808
+0.0279712
+0.0293685
+0.0308375
+0.0302121
+0.0290177
+0.0279368
+0.0269909
+0.0261943
+0.0255613
+0.0250801
+0.0247707
+0.0246528
+0.0247122
+0.0249441
+0.0253638
+0.025936
+0.026667
+0.0609435
+0.0605468
+0.0602272
+0.059986
+0.0598241
+0.0597421
+0.0597404
+0.0598189
+0.0599741
+0.0601965
+0.0604975
+0.0608759
+0.0613303
+0.061859
+0.06246
+0.0631314
+0.063871
+0.0641234
+0.0622572
+0.0604129
+0.0585924
+0.0567981
+0.0550325
+0.0532984
+0.0515991
+0.0499381
+0.0483194
+0.0467472
+0.0452266
+0.0437628
+0.0423617
+0.0410299
+0.0395602
+0.0379918
+0.0364876
+0.0350558
+0.0337057
+0.0324474
+0.031292
+0.0302342
+0.029288
+0.0284792
+0.0278198
+0.0273207
+0.0269906
+0.0268359
+0.0268418
+0.0270096
+0.0266185
+0.0262394
+0.0260396
+0.0260234
+0.0261911
+0.0265391
+0.0270606
+0.0277457
+0.0285513
+0.028174
+0.0263609
+0.0246091
+0.022933
+0.0213503
+0.0198833
+0.018516
+0.0173116
+0.0163138
+0.0155507
+0.0150205
+0.0147911
+0.0148144
+0.0151108
+0.0156608
+0.016474
+0.0174774
+0.0186431
+0.019974
+0.0214328
+0.022971
+0.0239728
+0.024676
+0.025544
+0.026564
+0.027687
+0.0289326
+0.0302856
+0.0317109
+0.0320365
+0.030906
+0.0298935
+0.0290113
+0.0282718
+0.0276863
+0.0272346
+0.0269499
+0.0268416
+0.0268973
+0.0271105
+0.0274972
+0.0280343
+0.0287119
+0.0630094
+0.0626257
+0.0623168
+0.0620837
+0.0619273
+0.0618481
+0.0618464
+0.0619223
+0.0620734
+0.0622884
+0.0625793
+0.0629452
+0.0633848
+0.0638964
+0.0644785
+0.0651291
+0.0658462
+0.0648372
+0.0629922
+0.0611701
+0.0593728
+0.0576028
+0.0558626
+0.0541552
+0.0524836
+0.0508515
+0.0492628
+0.0477217
+0.0462331
+0.0448022
+0.0434344
+0.0421358
+0.0406159
+0.0390899
+0.0376296
+0.0362429
+0.0349387
+0.0337265
+0.0326165
+0.0316035
+0.0306995
+0.0299289
+0.0293022
+0.0288287
+0.0285161
+0.0283697
+0.0283755
+0.0285343
+0.0281636
+0.0278055
+0.0276171
+0.0276018
+0.0277599
+0.0280885
+0.0285817
+0.0292312
+0.0300249
+0.0294181
+0.0276865
+0.0260242
+0.0244453
+0.0229487
+0.0215475
+0.0202866
+0.0191936
+0.0182987
+0.0176036
+0.0171371
+0.0169331
+0.0169556
+0.0172152
+0.0177118
+0.0184368
+0.0193481
+0.0204337
+0.0216549
+0.0230202
+0.0244809
+0.0252766
+0.0259447
+0.0267715
+0.0277471
+0.028825
+0.0300234
+0.0313293
+0.0327079
+0.0338982
+0.0328318
+0.0318806
+0.0310549
+0.0303652
+0.0298171
+0.0293945
+0.029131
+0.0290308
+0.0290832
+0.0292806
+0.0296389
+0.0301457
+0.0307769
+0.0650834
+0.0647121
+0.0644131
+0.0641876
+0.0640363
+0.0639598
+0.0639582
+0.0640315
+0.0641788
+0.0643868
+0.0646683
+0.0650225
+0.0654481
+0.0659437
+0.0665079
+0.0671388
+0.0674608
+0.0656165
+0.063794
+0.0619955
+0.0602228
+0.0584786
+0.0567652
+0.0550858
+0.0534433
+0.0518414
+0.050284
+0.0487751
+0.0473191
+0.0459214
+0.0445876
+0.0433027
+0.0417599
+0.0402773
+0.0388616
+0.0375205
+0.0362623
+0.0350958
+0.0340304
+0.0330517
+0.0321887
+0.0314549
+0.0308594
+0.0304105
+0.0301146
+0.0299763
+0.0299863
+0.0301366
+0.0297897
+0.0294514
+0.0292736
+0.0292592
+0.0294084
+0.0297188
+0.0301854
+0.0308011
+0.0315554
+0.030768
+0.0291158
+0.0275322
+0.0260171
+0.0245956
+0.0232937
+0.0221325
+0.0211352
+0.0203259
+0.0196863
+0.0192702
+0.0190858
+0.0191081
+0.0193388
+0.0197928
+0.0204442
+0.02128
+0.0222765
+0.0234024
+0.024669
+0.0260586
+0.0266966
+0.0273257
+0.028112
+0.0290425
+0.0300797
+0.03123
+0.0324874
+0.0338176
+0.0352295
+0.0347891
+0.0338928
+0.0331174
+0.0324715
+0.0319527
+0.0315587
+0.0313133
+0.0312201
+0.0312698
+0.0314534
+0.0317873
+0.0322664
+0.0328582
+0.0671648
+0.066805
+0.0665155
+0.0662972
+0.0661507
+0.0660766
+0.066075
+0.0661461
+0.0662893
+0.0664912
+0.0667638
+0.0671069
+0.0675194
+0.0679999
+0.0685472
+0.0691595
+0.0682804
+0.0664588
+0.0646602
+0.0628863
+0.0611396
+0.0594222
+0.0577369
+0.0560865
+0.0544742
+0.0529033
+0.0513774
+0.0499012
+0.048479
+0.0471157
+0.0458167
+0.0444823
+0.0429819
+0.0415429
+0.0401718
+0.038876
+0.037663
+0.0365413
+0.035504
+0.0345635
+0.0337392
+0.0330398
+0.0324734
+0.0320471
+0.0317664
+0.0316353
+0.0316454
+0.0317878
+0.0314713
+0.0311512
+0.0309832
+0.0309696
+0.0311106
+0.0314041
+0.031846
+0.0324302
+0.0331492
+0.0321873
+0.0306058
+0.0290918
+0.0276548
+0.0263219
+0.0251096
+0.0240363
+0.0231213
+0.0223744
+0.0217901
+0.0214149
+0.0212462
+0.0212684
+0.0214759
+0.0218952
+0.0224857
+0.0232393
+0.0241531
+0.0252103
+0.0263904
+0.0276937
+0.0281924
+0.0287889
+0.0295362
+0.0304233
+0.0314371
+0.0325394
+0.0337316
+0.0350099
+0.0363753
+0.0367726
+0.0359259
+0.0351953
+0.0345882
+0.0340952
+0.0337262
+0.0334968
+0.0334097
+0.033457
+0.0336286
+0.0339411
+0.0343906
+0.0349528
+0.069253
+0.0689041
+0.0686235
+0.0684118
+0.0682699
+0.0681981
+0.0681966
+0.0682654
+0.0684044
+0.068601
+0.0688653
+0.0691979
+0.069598
+0.0700643
+0.0705955
+0.0709735
+0.0691598
+0.067362
+0.065588
+0.06384
+0.06212
+0.0604306
+0.0587741
+0.0571532
+0.0555714
+0.0540321
+0.052539
+0.0510963
+0.0497083
+0.0483797
+0.0471156
+0.0457361
+0.0442782
+0.0428827
+0.0415559
+0.0403046
+0.0391359
+0.0380506
+0.0370452
+0.0361448
+0.0353574
+0.0346907
+0.0341517
+0.0337466
+0.0334802
+0.0333558
+0.0333658
+0.0335009
+0.0332105
+0.0329074
+0.0327483
+0.0327354
+0.0328689
+0.0331469
+0.0335658
+0.0341206
+0.0348046
+0.0336839
+0.0321709
+0.0307218
+0.0293647
+0.028113
+0.0269813
+0.0259854
+0.0251414
+0.0244433
+0.0239095
+0.0235681
+0.0234123
+0.0234343
+0.0236228
+0.0240104
+0.0245528
+0.0252348
+0.0260787
+0.0270684
+0.0281769
+0.0293361
+0.0297744
+0.0303399
+0.0310499
+0.0318948
+0.0328643
+0.0339221
+0.0350569
+0.0362885
+0.0376075
+0.0387785
+0.0379765
+0.0372861
+0.0367136
+0.0362435
+0.0358966
+0.0356811
+0.0355993
+0.0356445
+0.0358057
+0.0360994
+0.0365223
+0.0370585
+0.0713473
+0.0710087
+0.0707364
+0.0705311
+0.0703935
+0.0703238
+0.0703224
+0.0703891
+0.0705239
+0.0707157
+0.0709721
+0.0712949
+0.0716833
+0.0721361
+0.0726522
+0.0718867
+0.0700966
+0.0683234
+0.0665751
+0.0648537
+0.063161
+0.0614997
+0.0598724
+0.058282
+0.0567317
+0.0552247
+0.0537648
+0.0523559
+0.0510022
+0.0497082
+0.0484787
+0.0470585
+0.0456429
+0.0442904
+0.0430071
+0.0417992
+0.0406735
+0.0396139
+0.0386492
+0.0377871
+0.0370346
+0.0363986
+0.0358852
+0.0354999
+0.0352468
+0.0351287
+0.0351386
+0.0352669
+0.0350004
+0.0347129
+0.0345622
+0.03455
+0.0346764
+0.0349401
+0.0353378
+0.0358651
+0.0365165
+0.0352521
+0.0337945
+0.0324179
+0.0311349
+0.0299572
+0.0288979
+0.0279703
+0.027188
+0.0265317
+0.0260408
+0.0257276
+0.0255826
+0.0256044
+0.025777
+0.0261328
+0.0266302
+0.0272603
+0.0280432
+0.0289659
+0.0300171
+0.0310059
+0.0314263
+0.0319658
+0.0326404
+0.0334452
+0.034371
+0.0353761
+0.0364657
+0.0376513
+0.0389241
+0.040276
+0.0400419
+0.0393878
+0.0388447
+0.0383966
+0.0380693
+0.0378662
+0.0377891
+0.0378325
+0.0379844
+0.0382613
+0.0386606
+0.0391736
+0.0734472
+0.0731184
+0.0728539
+0.0726546
+0.072521
+0.0724534
+0.072452
+0.0725168
+0.0726476
+0.0728349
+0.0730839
+0.0733974
+0.0737747
+0.0742148
+0.0746424
+0.0728543
+0.0710884
+0.0693406
+0.0676182
+0.0659236
+0.064259
+0.0626268
+0.0610296
+0.0594702
+0.0579516
+0.0564772
+0.0550506
+0.0536754
+0.0523558
+0.0510961
+0.0498763
+0.0484439
+0.04707
+0.0457597
+0.0445188
+0.043353
+0.0422536
+0.0412343
+0.0403085
+0.0394826
+0.038763
+0.0381558
+0.0376665
+0.0372995
+0.0370587
+0.0369464
+0.0369562
+0.0370782
+0.0368337
+0.0365606
+0.0364175
+0.0364059
+0.036526
+0.0367763
+0.0371544
+0.0376563
+0.0382772
+0.0368687
+0.0354762
+0.0341675
+0.0329526
+0.0318422
+0.0308477
+0.0299805
+0.029247
+0.0286353
+0.0281811
+0.027892
+0.0277561
+0.0277763
+0.027937
+0.0282656
+0.0287245
+0.0293095
+0.030039
+0.0309022
+0.0318927
+0.0327371
+0.0331356
+0.0336558
+0.0342972
+0.035064
+0.0359481
+0.036903
+0.0379487
+0.0390893
+0.0403168
+0.0416235
+0.0421201
+0.0414986
+0.0409783
+0.0405537
+0.040244
+0.0400518
+0.039979
+0.0400207
+0.0401643
+0.0404263
+0.0408044
+0.0412952
+0.0755523
+0.0752327
+0.0749757
+0.0747821
+0.0746522
+0.0745865
+0.0745852
+0.0746481
+0.0747752
+0.0749582
+0.0752001
+0.0755049
+0.0758717
+0.0762997
+0.0756383
+0.0738743
+0.0721326
+0.0704104
+0.0687148
+0.0670479
+0.065412
+0.0638092
+0.0622424
+0.0607141
+0.0592275
+0.0577857
+0.0563921
+0.0550505
+0.0537646
+0.0525387
+0.0512792
+0.0498872
+0.0485541
+0.0472849
+0.0460851
+0.0449519
+0.043886
+0.0429055
+0.0420165
+0.0412248
+0.0405362
+0.0399559
+0.0394889
+0.0391391
+0.0389096
+0.0388027
+0.0388124
+0.0389286
+0.0387041
+0.0384443
+0.0383083
+0.0382973
+0.0384114
+0.0386495
+0.0390095
+0.0394878
+0.0399428
+0.0385368
+0.0372068
+0.0359612
+0.0348089
+0.0337597
+0.0328233
+0.0320097
+0.0313216
+0.0307512
+0.0303286
+0.0300602
+0.0299321
+0.0299508
+0.0301014
+0.0304066
+0.0308321
+0.0313779
+0.0320603
+0.0328705
+0.0338034
+0.0345206
+0.0348987
+0.0354007
+0.0360111
+0.0367421
+0.0375868
+0.038494
+0.0394976
+0.0405947
+0.041778
+0.0430403
+0.044209
+0.0436174
+0.0431176
+0.0427142
+0.0424203
+0.042238
+0.042169
+0.0422092
+0.0423454
+0.042594
+0.042953
+0.0434197
+0.0776621
+0.0773512
+0.0771013
+0.076913
+0.0767868
+0.0767229
+0.0767216
+0.0767828
+0.0769064
+0.0770853
+0.0773206
+0.077617
+0.0779739
+0.0783904
+0.0766838
+0.0749444
+0.0732272
+0.0715313
+0.0698629
+0.0682241
+0.066617
+0.065044
+0.0635076
+0.0620105
+0.0605557
+0.0591463
+0.0577856
+0.056477
+0.0552244
+0.0540317
+0.0527358
+0.0513832
+0.05009
+0.0488608
+0.0476988
+0.0465927
+0.0455652
+0.0446216
+0.0437675
+0.043008
+0.0423484
+0.0417934
+0.0413471
+0.0410131
+0.0407942
+0.0406922
+0.0407019
+0.0408127
+0.0406066
+0.0403591
+0.0402295
+0.040219
+0.0403277
+0.0405546
+0.0408977
+0.0413543
+0.041603
+0.0402551
+0.0389838
+0.0377967
+0.0367022
+0.0357086
+0.0348246
+0.0340589
+0.0334109
+0.0328768
+0.032482
+0.0322315
+0.0321101
+0.0321276
+0.0322693
+0.0325542
+0.0329506
+0.0334619
+0.0341025
+0.0348653
+0.0357461
+0.0363486
+0.0367079
+0.0371881
+0.0377696
+0.0384673
+0.0392686
+0.0401415
+0.0411049
+0.0421602
+0.0433008
+0.0445199
+0.0458115
+0.0457429
+0.0452617
+0.0448776
+0.044598
+0.0444247
+0.0443591
+0.0443979
+0.0445274
+0.0447639
+0.0451056
+0.0455503
+0.0797763
+0.0794736
+0.0792304
+0.0790472
+0.0789244
+0.0788623
+0.078861
+0.0789205
+0.0790408
+0.0792158
+0.0794448
+0.0797333
+0.0800808
+0.0795147
+0.077777
+0.0760618
+0.0743661
+0.0726967
+0.0710557
+0.069445
+0.0678668
+0.0663235
+0.0648174
+0.0633513
+0.061928
+0.0605505
+0.0592221
+0.057946
+0.0567258
+0.055565
+0.0542418
+0.0529277
+0.0516732
+0.0504825
+0.0493455
+0.0482772
+0.0472863
+0.0463778
+0.0455565
+0.0448274
+0.044195
+0.0436634
+0.0432364
+0.0429171
+0.042708
+0.0426106
+0.0426202
+0.042726
+0.0425368
+0.0423006
+0.042177
+0.042167
+0.0422706
+0.0424872
+0.0428148
+0.0432511
+0.0433105
+0.0420174
+0.040801
+0.0396683
+0.0386268
+0.037684
+0.0368475
+0.0361246
+0.0355125
+0.0350105
+0.0346399
+0.0344052
+0.0342897
+0.034306
+0.0344401
+0.0347072
+0.035078
+0.0355587
+0.0361621
+0.0368823
+0.0377161
+0.0382147
+0.0385567
+0.0390142
+0.0395688
+0.0402353
+0.0409907
+0.0418389
+0.0427641
+0.0437794
+0.0448788
+0.0460562
+0.0473058
+0.0478738
+0.0474102
+0.0470436
+0.0467769
+0.0466117
+0.0465492
+0.0465868
+0.0467102
+0.0469357
+0.0472617
+0.0476863
+0.0818945
+0.0815997
+0.0813629
+0.0811845
+0.0810649
+0.0810044
+0.0810031
+0.0810611
+0.0811782
+0.0813496
+0.0815726
+0.0818536
+0.0821921
+0.080629
+0.078912
+0.0772167
+0.0755468
+0.0739041
+0.0722905
+0.070708
+0.0691586
+0.0676447
+0.0661688
+0.0647333
+0.063341
+0.061995
+0.0606981
+0.0594537
+0.0582651
+0.0571254
+0.0557932
+0.0545165
+0.0532994
+0.0521371
+0.0510332
+0.0500009
+0.0490449
+0.0481695
+0.0473793
+0.0466787
+0.0460717
+0.045562
+0.045153
+0.0448474
+0.0446472
+0.0445541
+0.0445636
+0.0446648
+0.0444912
+0.0442654
+0.0441473
+0.0441377
+0.0442368
+0.0444437
+0.0447571
+0.0451746
+0.0450597
+0.0438183
+0.0426533
+0.0415711
+0.0405785
+0.0396821
+0.0388886
+0.0382042
+0.0376238
+0.0371508
+0.0368018
+0.0365809
+0.0364707
+0.036486
+0.0366133
+0.0368646
+0.0372127
+0.0376661
+0.0382363
+0.0389181
+0.0397092
+0.0401138
+0.0404396
+0.0408761
+0.0414058
+0.0420371
+0.0427557
+0.0435727
+0.0444693
+0.0454466
+0.0465066
+0.0476438
+0.0488528
+0.0500064
+0.0495623
+0.0492118
+0.0489569
+0.0487991
+0.0487393
+0.0487759
+0.0488938
+0.0491092
+0.0494209
+0.0498271
+0.0840164
+0.0837291
+0.0834983
+0.0833245
+0.083208
+0.083149
+0.0831478
+0.0832043
+0.0833183
+0.0834862
+0.0837035
+0.0839775
+0.0834979
+0.0817802
+0.0800857
+0.0784157
+0.0767719
+0.075156
+0.0735699
+0.0720154
+0.0704948
+0.0690103
+0.0675641
+0.0661589
+0.0647973
+0.0634821
+0.0622163
+0.0610029
+0.0598426
+0.0586823
+0.0573863
+0.0561458
+0.0549615
+0.0538264
+0.0527578
+0.05176
+0.050837
+0.049993
+0.0492322
+0.0485583
+0.047975
+0.0474858
+0.0470935
+0.0468005
+0.0466088
+0.0465195
+0.046529
+0.046626
+0.0464666
+0.0462505
+0.0461374
+0.0461283
+0.0462231
+0.0464212
+0.0467213
+0.0471214
+0.0468461
+0.0456533
+0.0445363
+0.043501
+0.0425534
+0.0416995
+0.0409451
+0.0402926
+0.0397424
+0.0392966
+0.0389669
+0.0387583
+0.0386527
+0.0386672
+0.0387884
+0.0390258
+0.0393535
+0.0397826
+0.0403228
+0.0409699
+0.0417221
+0.0420411
+0.0423522
+0.0427691
+0.0432757
+0.0438695
+0.0445585
+0.045343
+0.046214
+0.047155
+0.0481774
+0.0492761
+0.0504459
+0.0516822
+0.0517176
+0.0513818
+0.0511377
+0.0509867
+0.0509295
+0.050965
+0.0510779
+0.0512842
+0.0515827
+0.051972
+0.087633
+0.0862347
+0.0848545
+0.0834356
+0.0820507
+0.0807015
+0.0793677
+0.0780102
+0.0766324
+0.0752932
+0.0739945
+0.0727387
+0.0715279
+0.0703206
+0.0691257
+0.0679267
+0.0667592
+0.0655745
+0.0643879
+0.0632546
+0.0621333
+0.0610701
+0.0600292
+0.0589806
+0.0579959
+0.0570783
+0.0562278
+0.0554289
+0.0546459
+0.0537616
+0.0529348
+0.0521609
+0.0514137
+0.0507501
+0.0501401
+0.0495815
+0.0491111
+0.0487175
+0.0483797
+0.0481393
+0.0477213
+0.0472709
+0.0468902
+0.046596
+0.0463996
+0.0462498
+0.0462035
+0.046261
+0.046419
+0.0466501
+0.0469748
+0.0473949
+0.0478765
+0.0484524
+0.0491193
+0.0498663
+0.0506493
+0.0515136
+0.0524553
+0.0534702
+0.0528536
+0.0516954
+0.0506056
+0.0495886
+0.0486492
+0.0477917
+0.0470124
+0.0463216
+0.0457254
+0.0452275
+0.0448312
+0.0445394
+0.0443539
+0.0442761
+0.0442998
+0.0444176
+0.0446427
+0.0449735
+0.0454077
+0.0459423
+0.046574
+0.0472988
+0.0480978
+0.0489671
+0.0498531
+0.0508025
+0.0518245
+0.0529176
+0.0540774
+0.0552996
+0.0565803
+0.0579115
+0.0592913
+0.0606787
+0.0620979
+0.063561
+0.0650397
+0.0665547
+0.0680924
+0.0696535
+0.0859764
+0.0845583
+0.083166
+0.0817795
+0.0803661
+0.0789881
+0.0776475
+0.0763157
+0.0749473
+0.0735773
+0.0722478
+0.0709611
+0.0697195
+0.0685241
+0.0673108
+0.0661322
+0.0649354
+0.0637801
+0.0625839
+0.0614177
+0.0602884
+0.0591921
+0.0581565
+0.057101
+0.0560832
+0.0551338
+0.0542554
+0.0534446
+0.0526674
+0.0518208
+0.0509625
+0.05018
+0.0494137
+0.0487229
+0.0481046
+0.0475287
+0.0470378
+0.0466366
+0.0462837
+0.0460324
+0.0456812
+0.0452693
+0.0448753
+0.0445678
+0.0443664
+0.0442276
+0.0441792
+0.0442394
+0.0444076
+0.0446496
+0.0449888
+0.0454273
+0.0459295
+0.0465295
+0.0472236
+0.0479851
+0.0487983
+0.0496949
+0.0506703
+0.0517203
+0.0510784
+0.049879
+0.0487486
+0.0476921
+0.0467145
+0.0458209
+0.0450075
+0.0442854
+0.0436613
+0.0431397
+0.0427241
+0.0424177
+0.0422229
+0.0421412
+0.042166
+0.0422898
+0.0425261
+0.0428733
+0.0433285
+0.0438885
+0.0445493
+0.0453027
+0.0461315
+0.0470021
+0.0479179
+0.0489022
+0.0499631
+0.051096
+0.0522962
+0.0535591
+0.0548777
+0.0562466
+0.05763
+0.0590412
+0.0604989
+0.0619754
+0.0634865
+0.0650216
+0.0665846
+0.0680069
+0.0843281
+0.0829007
+0.0814855
+0.0800996
+0.0787064
+0.0772988
+0.0759284
+0.0745967
+0.0732627
+0.0718873
+0.070526
+0.0692072
+0.0679335
+0.0667075
+0.0655189
+0.0643094
+0.0631332
+0.0619497
+0.0608
+0.0596043
+0.0584607
+0.0573363
+0.0562677
+0.0552442
+0.0541916
+0.0532085
+0.0522986
+0.0514616
+0.0506726
+0.0498908
+0.0490088
+0.0481985
+0.0474306
+0.0467104
+0.0460833
+0.0454888
+0.0449756
+0.0445643
+0.0441968
+0.0439336
+0.0436558
+0.0432466
+0.0428766
+0.0425557
+0.0423448
+0.0422223
+0.0421715
+0.0422345
+0.0424107
+0.0426678
+0.0430226
+0.0434811
+0.0440055
+0.0446314
+0.0453546
+0.0461313
+0.0469766
+0.0479072
+0.0489184
+0.0500023
+0.0493367
+0.0480939
+0.0469205
+0.0458218
+0.0448034
+0.0438709
+0.0430206
+0.0422646
+0.0416103
+0.0410625
+0.0406257
+0.0403034
+0.0400983
+0.0400123
+0.0400384
+0.0401687
+0.0404175
+0.0407826
+0.0412609
+0.0418486
+0.0425411
+0.0433203
+0.0441844
+0.0450579
+0.0460028
+0.0470271
+0.0481294
+0.0493045
+0.0505472
+0.0518515
+0.053208
+0.0545868
+0.0559891
+0.0574402
+0.0589146
+0.06042
+0.0619534
+0.0635157
+0.0649399
+0.0663778
+0.0827049
+0.081249
+0.0798267
+0.0784146
+0.0770358
+0.0756353
+0.0742341
+0.0728719
+0.0715431
+0.0702137
+0.0688307
+0.0674789
+0.0661719
+0.0649126
+0.0637037
+0.0625082
+0.0613177
+0.0601396
+0.0589757
+0.0578171
+0.0566374
+0.0555048
+0.0544003
+0.0533623
+0.0523234
+0.0513044
+0.0503602
+0.0494932
+0.0486914
+0.0479162
+0.0470759
+0.0462333
+0.0454665
+0.0447148
+0.0440592
+0.0434595
+0.0429261
+0.042495
+0.0421206
+0.0418443
+0.0416383
+0.0412179
+0.0408947
+0.0405621
+0.0403407
+0.0402362
+0.040183
+0.0402491
+0.040434
+0.0407075
+0.0410792
+0.0415592
+0.0421076
+0.0427613
+0.0435155
+0.0443082
+0.0451876
+0.0461544
+0.0472027
+0.0483212
+0.047632
+0.0463435
+0.0451246
+0.0439811
+0.0429191
+0.0419446
+0.0410545
+0.0402616
+0.0395742
+0.0389979
+0.0385376
+0.0381977
+0.0379812
+0.0378904
+0.037918
+0.0380556
+0.0383181
+0.038703
+0.0392067
+0.0398247
+0.040551
+0.041359
+0.0422241
+0.0431311
+0.0441133
+0.0451805
+0.0463268
+0.0475464
+0.0488339
+0.0501768
+0.0515503
+0.0529423
+0.0543836
+0.055858
+0.0573569
+0.0588884
+0.0604417
+0.061876
+0.0633132
+0.0647778
+0.0810962
+0.0796234
+0.0781715
+0.0767546
+0.0753459
+0.0739748
+0.0725665
+0.0711723
+0.0698191
+0.0684888
+0.0671642
+0.065778
+0.0644366
+0.0631427
+0.0618993
+0.0607078
+0.0595066
+0.058337
+0.0571553
+0.0560151
+0.054841
+0.0536853
+0.0525579
+0.0514834
+0.050476
+0.0494241
+0.0484433
+0.0475432
+0.0467228
+0.0459437
+0.0451663
+0.0442877
+0.0434976
+0.0427382
+0.0420518
+0.0414433
+0.0408909
+0.040438
+0.0400565
+0.0397658
+0.0395945
+0.0392067
+0.0388741
+0.0385899
+0.0383572
+0.0382487
+0.0382166
+0.0382861
+0.0384804
+0.0387718
+0.0391619
+0.0396652
+0.0402394
+0.0409229
+0.0416992
+0.0425198
+0.0434355
+0.0444404
+0.0455236
+0.0466823
+0.0459685
+0.044632
+0.0433651
+0.0421739
+0.0410652
+0.0400456
+0.0391123
+0.0382792
+0.0375555
+0.0369477
+0.0364616
+0.0361021
+0.035873
+0.0357769
+0.0358061
+0.0359517
+0.0362295
+0.0366363
+0.037168
+0.0378194
+0.0385732
+0.0394218
+0.0402876
+0.0412264
+0.0422529
+0.0433659
+0.0445589
+0.0458256
+0.0471542
+0.0485215
+0.0499019
+0.0513319
+0.0528061
+0.0542978
+0.0558268
+0.0573676
+0.0588155
+0.0602495
+0.0617114
+0.0632131
+0.0794811
+0.0780173
+0.0765432
+0.0750956
+0.0736824
+0.0722798
+0.070917
+0.0695003
+0.0681138
+0.0667705
+0.0654374
+0.064107
+0.0627298
+0.0614
+0.0601205
+0.0588948
+0.0577218
+0.0565153
+0.0553618
+0.0541839
+0.0530619
+0.0518792
+0.0507432
+0.0496294
+0.0485887
+0.0475704
+0.0465505
+0.0456131
+0.0447605
+0.0439676
+0.043198
+0.0423659
+0.0415434
+0.0407835
+0.0400636
+0.0394457
+0.0388714
+0.0383948
+0.0380066
+0.0377001
+0.0375193
+0.0371979
+0.0368652
+0.0366425
+0.0363973
+0.036283
+0.0362695
+0.0363475
+0.0365521
+0.0368553
+0.0372655
+0.0377983
+0.0384053
+0.0391209
+0.0399142
+0.0407707
+0.0417248
+0.0427674
+0.0438895
+0.0450903
+0.0443509
+0.0429641
+0.0416465
+0.0404047
+0.0392459
+0.0381779
+0.0371977
+0.0363207
+0.0355572
+0.0349146
+0.0343998
+0.0340185
+0.0337753
+0.0336731
+0.0337042
+0.0338589
+0.0341536
+0.0345849
+0.0351477
+0.0358358
+0.0366198
+0.0374773
+0.0383724
+0.0393515
+0.0404257
+0.0415876
+0.0428301
+0.0441421
+0.045502
+0.0468689
+0.0482862
+0.0497581
+0.0512396
+0.0527605
+0.0542963
+0.0557511
+0.057185
+0.0586484
+0.0601468
+0.0616866
+0.0778941
+0.0763999
+0.07494
+0.0734645
+0.0720217
+0.070612
+0.0692164
+0.0678577
+0.066437
+0.0650591
+0.0637266
+0.0623905
+0.0610539
+0.0596867
+0.0583697
+0.0571065
+0.0559003
+0.0547207
+0.0535362
+0.0523802
+0.0512274
+0.0501038
+0.0489343
+0.0478039
+0.0467227
+0.0457162
+0.044685
+0.0437076
+0.04282
+0.0420129
+0.0412522
+0.0404716
+0.0396097
+0.0388435
+0.0380977
+0.0374544
+0.0368701
+0.0363687
+0.0359732
+0.0356493
+0.0354581
+0.035199
+0.0348731
+0.0346428
+0.0344653
+0.0343445
+0.0343362
+0.0344269
+0.0346428
+0.0349682
+0.0354002
+0.0359608
+0.0366105
+0.0373586
+0.0381715
+0.0390662
+0.0400609
+0.0411406
+0.0423059
+0.0435503
+0.0427843
+0.041345
+0.039974
+0.0386786
+0.0374665
+0.0363462
+0.0353152
+0.0343902
+0.0335828
+0.0329017
+0.0323549
+0.0319492
+0.0316901
+0.0315812
+0.0316144
+0.0317792
+0.0320931
+0.0325517
+0.033149
+0.0338693
+0.0346946
+0.0355522
+0.0364824
+0.0375108
+0.0386362
+0.0398503
+0.0411428
+0.0424939
+0.0438431
+0.0452475
+0.046712
+0.0481861
+0.0496966
+0.0512283
+0.0526908
+0.0541243
+0.0555832
+0.0570839
+0.0586223
+0.0601869
+0.076337
+0.0748117
+0.0733202
+0.0718631
+0.0703875
+0.0689499
+0.0675441
+0.0661564
+0.0647909
+0.0633771
+0.0620086
+0.0606805
+0.0593489
+0.0580057
+0.0566496
+0.0553471
+0.0541019
+0.052916
+0.051731
+0.0505714
+0.049413
+0.0482887
+0.0471497
+0.0460033
+0.0448859
+0.0438423
+0.0428502
+0.04183
+0.0409017
+0.0400623
+0.0392867
+0.0385248
+0.0377041
+0.0368983
+0.0361576
+0.0354792
+0.034886
+0.0343629
+0.0339595
+0.0336162
+0.0334106
+0.0332244
+0.0328877
+0.0326675
+0.0325364
+0.0324382
+0.0324356
+0.0325401
+0.0327685
+0.0331186
+0.0335744
+0.0341649
+0.0348609
+0.0356341
+0.036477
+0.0374123
+0.0384447
+0.0395682
+0.0407784
+0.042068
+0.0412746
+0.0397807
+0.0383538
+0.0370017
+0.0357328
+0.0345563
+0.0334703
+0.0324928
+0.031637
+0.0309131
+0.0303304
+0.0298973
+0.0296202
+0.0295037
+0.0295392
+0.0297155
+0.0300509
+0.0305402
+0.0311761
+0.0319287
+0.0327752
+0.0336539
+0.0346278
+0.0357097
+0.0368901
+0.0381592
+0.0394941
+0.0408263
+0.0422175
+0.0436717
+0.0451388
+0.0466367
+0.0481641
+0.0496351
+0.0510665
+0.0525206
+0.0540228
+0.0555618
+0.0571282
+0.0587136
+0.0747933
+0.0732546
+0.0717307
+0.0702421
+0.0687842
+0.0673124
+0.0658805
+0.0644791
+0.0631
+0.0617272
+0.0603212
+0.0589631
+0.057632
+0.0563136
+0.054963
+0.0536195
+0.0523332
+0.0511085
+0.0499456
+0.0487549
+0.0476228
+0.0464628
+0.0453636
+0.0442154
+0.0430822
+0.0419938
+0.0409891
+0.0399843
+0.0390121
+0.0381347
+0.037344
+0.0365928
+0.0358311
+0.0349822
+0.0342477
+0.0335307
+0.0329278
+0.032381
+0.0319578
+0.0316041
+0.0313768
+0.0312713
+0.0309207
+0.0307011
+0.0306027
+0.0305556
+0.0305706
+0.0306909
+0.0309357
+0.0313129
+0.0317946
+0.0324176
+0.0331638
+0.0339634
+0.034838
+0.035814
+0.0368875
+0.038057
+0.0393138
+0.0406499
+0.0398149
+0.0382779
+0.0367928
+0.035381
+0.0340518
+0.0328151
+0.0316694
+0.0306345
+0.0297253
+0.0289536
+0.0283306
+0.0278664
+0.027569
+0.0274438
+0.0274819
+0.0276714
+0.0280313
+0.0285552
+0.0292294
+0.0300225
+0.0308678
+0.0317853
+0.0328147
+0.0339544
+0.0351937
+0.0365097
+0.0378209
+0.0391982
+0.0406401
+0.0420988
+0.0435823
+0.0451045
+0.046585
+0.0480116
+0.0494623
+0.0509605
+0.0525056
+0.054074
+0.0556599
+0.0572562
+0.0732633
+0.0717116
+0.0701736
+0.0686512
+0.0671658
+0.0657071
+0.0642395
+0.062814
+0.0614174
+0.0600479
+0.058667
+0.0572698
+0.0559234
+0.054589
+0.0532854
+0.0519268
+0.0505975
+0.0493298
+0.048128
+0.0469696
+0.0457934
+0.0446697
+0.0435325
+0.0424318
+0.0412966
+0.0401797
+0.0391332
+0.0381577
+0.0371555
+0.036237
+0.0354047
+0.0346659
+0.0339142
+0.0331002
+0.0323242
+0.0316139
+0.030991
+0.0304277
+0.029977
+0.0296174
+0.0293649
+0.029265
+0.0289858
+0.0287644
+0.0286795
+0.0286583
+0.0287484
+0.0288829
+0.0291523
+0.0295594
+0.0300692
+0.0307271
+0.0315048
+0.0323548
+0.0332625
+0.0342773
+0.0353974
+0.0366145
+0.0379192
+0.0393027
+0.0383902
+0.0368164
+0.0352987
+0.0338246
+0.0324317
+0.0311307
+0.0299206
+0.028823
+0.0278546
+0.0270296
+0.0263612
+0.0258617
+0.025541
+0.0254057
+0.0254469
+0.0256514
+0.0260392
+0.0266024
+0.0273105
+0.0281401
+0.0289952
+0.0299603
+0.0310503
+0.0322524
+0.0335459
+0.0348309
+0.0361921
+0.0376193
+0.039065
+0.0405345
+0.0420505
+0.0435416
+0.0449581
+0.0464094
+0.0479029
+0.0494484
+0.0510251
+0.0526088
+0.0542064
+0.0558442
+0.071763
+0.0701828
+0.0686314
+0.0670942
+0.0655735
+0.0640916
+0.0626322
+0.0611692
+0.0597508
+0.0583593
+0.0570005
+0.0556112
+0.0542236
+0.0528904
+0.0515527
+0.0502658
+0.0488984
+0.0475854
+0.0463388
+0.0451614
+0.043997
+0.0428512
+0.0417281
+0.0406182
+0.0395254
+0.0384021
+0.0373087
+0.0363075
+0.0353373
+0.0343733
+0.0334956
+0.0327403
+0.0319938
+0.0312585
+0.0304355
+0.029735
+0.0290718
+0.0285043
+0.0280274
+0.0276597
+0.0273805
+0.0272733
+0.027076
+0.0268552
+0.0267764
+0.0268031
+0.0269301
+0.0271314
+0.0274281
+0.0278566
+0.028408
+0.0291035
+0.0299072
+0.030809
+0.0317549
+0.032815
+0.0339833
+0.0352492
+0.0366026
+0.0380341
+0.0370402
+0.0354065
+0.0338358
+0.0323373
+0.0308821
+0.0295128
+0.0282335
+0.0270675
+0.026034
+0.0251493
+0.0244295
+0.0238897
+0.0235421
+0.0233953
+0.02344
+0.0236618
+0.0240817
+0.0246896
+0.0254356
+0.0262616
+0.0271594
+0.0281875
+0.0293434
+0.0306077
+0.0318616
+0.033203
+0.0346122
+0.0360348
+0.0374949
+0.0390036
+0.0405066
+0.0419111
+0.0433628
+0.0448508
+0.0463945
+0.0479825
+0.0495635
+0.0511624
+0.0528038
+0.0544838
+0.0701979
+0.0686808
+0.0671039
+0.0655529
+0.0640166
+0.0624978
+0.0610199
+0.0595596
+0.0581019
+0.0566914
+0.0553036
+0.0539566
+0.0525602
+0.0511837
+0.049856
+0.0485241
+0.0472398
+0.0458794
+0.0445851
+0.0433629
+0.0422137
+0.041043
+0.0399327
+0.0388017
+0.0377326
+0.0366403
+0.0355255
+0.034477
+0.0335157
+0.0325457
+0.031623
+0.0308219
+0.03011
+0.0293761
+0.02859
+0.0278607
+0.0271767
+0.0266177
+0.0261161
+0.0257322
+0.02543
+0.0253145
+0.0252029
+0.0249878
+0.0249152
+0.0249883
+0.0251391
+0.0254414
+0.0257747
+0.0262198
+0.0268215
+0.0275489
+0.0283889
+0.0293416
+0.0303292
+0.0314374
+0.0326551
+0.0339705
+0.0353728
+0.0368521
+0.0357736
+0.0340792
+0.0324443
+0.0308783
+0.0293923
+0.0279731
+0.0266199
+0.0253799
+0.0242746
+0.0233232
+0.0225453
+0.0219591
+0.0215804
+0.0214202
+0.021469
+0.021711
+0.0221679
+0.0228097
+0.0236022
+0.0244267
+0.0253801
+0.0264773
+0.0277023
+0.0289193
+0.0302359
+0.0316227
+0.033017
+0.0344658
+0.0359653
+0.037482
+0.0388723
+0.0403234
+0.0418055
+0.0433469
+0.0449423
+0.0465252
+0.0481253
+0.0497704
+0.0514563
+0.0531789
+0.0686331
+0.0671154
+0.0656001
+0.0640269
+0.0624763
+0.0609411
+0.0594244
+0.0579509
+0.0564897
+0.0550379
+0.0536363
+0.0522523
+0.0509188
+0.0495151
+0.0481512
+0.0468202
+0.0455049
+0.044216
+0.0428716
+0.0415991
+0.0404046
+0.0392738
+0.0381119
+0.0370228
+0.0359037
+0.0348612
+0.033773
+0.0326862
+0.0316915
+0.0307414
+0.0297939
+0.0289421
+0.028235
+0.0274874
+0.0267867
+0.0260105
+0.0253197
+0.0247323
+0.0242214
+0.0238401
+0.0235218
+0.0233969
+0.0233831
+0.0231511
+0.0231019
+0.0232031
+0.0234146
+0.0237597
+0.0241854
+0.024669
+0.0253077
+0.0260773
+0.0269632
+0.0279645
+0.0289991
+0.0301561
+0.0314235
+0.0327884
+0.0342392
+0.0357654
+0.0345994
+0.0328445
+0.0311448
+0.02951
+0.0279513
+0.0264823
+0.0250938
+0.0237744
+0.0225907
+0.0215652
+0.0207213
+0.020082
+0.0196672
+0.0194913
+0.0195449
+0.0198104
+0.0203101
+0.02099
+0.021755
+0.022646
+0.0236698
+0.0248427
+0.0260132
+0.0272979
+0.0286505
+0.0300157
+0.0314484
+0.0329382
+0.0344703
+0.0358436
+0.0372904
+0.0387685
+0.040307
+0.0419036
+0.0434953
+0.0450965
+0.0467456
+0.0484376
+0.0501682
+0.0519336
+0.0671033
+0.0655504
+0.0640344
+0.0625211
+0.0609521
+0.0594019
+0.057868
+0.0563538
+0.0548852
+0.0534232
+0.0519781
+0.0505855
+0.0492068
+0.0478886
+0.046477
+0.0451277
+0.0437931
+0.0424971
+0.0412033
+0.0398776
+0.0386308
+0.0374669
+0.0363321
+0.0352094
+0.0341174
+0.033042
+0.032017
+0.0309469
+0.0298982
+0.0289583
+0.0280074
+0.0271091
+0.0263529
+0.0256469
+0.024974
+0.0242163
+0.0235203
+0.0228867
+0.0223701
+0.0219619
+0.02165
+0.0215315
+0.0215001
+0.0213811
+0.0213531
+0.0214689
+0.0217472
+0.0221354
+0.0226705
+0.0232216
+0.023899
+0.0247126
+0.0256456
+0.0266964
+0.0277782
+0.0289841
+0.0303005
+0.0317138
+0.0332115
+0.0347828
+0.0335274
+0.0317132
+0.0299494
+0.0282455
+0.0266129
+0.0250655
+0.0236202
+0.0222689
+0.0210006
+0.0198933
+0.0189752
+0.0182749
+0.0178181
+0.0176237
+0.0176813
+0.0179743
+0.0185118
+0.0192118
+0.0199764
+0.0209432
+0.0220447
+0.0231569
+0.0243987
+0.0257005
+0.0270336
+0.0284468
+0.0299257
+0.0314755
+0.0328278
+0.034267
+0.035742
+0.0372767
+0.0388722
+0.0404758
+0.0420778
+0.043731
+0.0454296
+0.0471689
+0.0489337
+0.0506927
+0.0655488
+0.064022
+0.0624693
+0.060955
+0.0594441
+0.0578797
+0.0563302
+0.0547976
+0.0532863
+0.0518234
+0.0503605
+0.048923
+0.0475342
+0.0461684
+0.0448473
+0.0434474
+0.0421149
+0.0407767
+0.0395032
+0.0382042
+0.0369009
+0.0356845
+0.0345572
+0.0334186
+0.032323
+0.0312458
+0.030227
+0.0292245
+0.0281572
+0.0271746
+0.026251
+0.025333
+0.024522
+0.0238656
+0.0231409
+0.0224747
+0.0217729
+0.0211072
+0.0205855
+0.0201468
+0.0198064
+0.0197022
+0.0196742
+0.019696
+0.0196302
+0.0197763
+0.0200869
+0.0205828
+0.0211938
+0.0218651
+0.0226101
+0.0234732
+0.0244536
+0.0255534
+0.0266817
+0.0279349
+0.0292985
+0.0307578
+0.0322999
+0.0339135
+0.0325676
+0.0306968
+0.028871
+0.0270993
+0.0253931
+0.0237665
+0.0222369
+0.0208257
+0.019527
+0.0183309
+0.0173303
+0.0165606
+0.016055
+0.015839
+0.0158979
+0.0162232
+0.0167984
+0.017449
+0.0182874
+0.0193385
+0.0203714
+0.0215516
+0.0227822
+0.0240797
+0.0254683
+0.0269325
+0.0284781
+0.0298289
+0.0312526
+0.032729
+0.0342586
+0.0358484
+0.0374579
+0.0390716
+0.0407289
+0.0424347
+0.0441832
+0.0459353
+0.0477046
+0.0494941
+0.0640064
+0.0624656
+0.0609423
+0.0593899
+0.0578775
+0.0563694
+0.0548102
+0.0532615
+0.0517306
+0.0502225
+0.0487662
+0.0473025
+0.0458738
+0.0444894
+0.0431384
+0.0418144
+0.0404281
+0.0391034
+0.0377735
+0.0365267
+0.0352223
+0.0339458
+0.0327648
+0.031678
+0.0305414
+0.0294727
+0.0284171
+0.0274589
+0.0264688
+0.0254389
+0.0245275
+0.0236136
+0.0227549
+0.022067
+0.0213753
+0.0207798
+0.0200473
+0.0194025
+0.018877
+0.0183941
+0.0180406
+0.0179261
+0.0179302
+0.0179886
+0.0179507
+0.0181308
+0.0184998
+0.0190393
+0.019799
+0.0206413
+0.0214298
+0.0223631
+0.0234064
+0.0245532
+0.0257253
+0.0270229
+0.0284303
+0.029932
+0.0315145
+0.0331663
+0.0317081
+0.0298
+0.0279231
+0.0260871
+0.02431
+0.0226055
+0.0209915
+0.0194904
+0.0181302
+0.0169067
+0.0158162
+0.0149688
+0.0144076
+0.0141664
+0.0142287
+0.0145912
+0.0151352
+0.0157936
+0.0167154
+0.0176902
+0.0187835
+0.0199182
+0.021167
+0.0225221
+0.023966
+0.0254941
+0.0268526
+0.0282564
+0.0297333
+0.031256
+0.0328383
+0.0344489
+0.0360809
+0.0377424
+0.0394556
+0.0411922
+0.042951
+0.0447305
+0.0465124
+0.0482774
+0.0624974
+0.060924
+0.0593839
+0.0578645
+0.0563125
+0.0548024
+0.0532974
+0.0517441
+0.0501964
+0.0486676
+0.0471633
+0.0457141
+0.04425
+0.0428315
+0.0414525
+0.0401189
+0.0387917
+0.0374218
+0.0360939
+0.0347869
+0.0335722
+0.0322623
+0.0310187
+0.0298791
+0.0287936
+0.0276921
+0.0266544
+0.0256413
+0.0247262
+0.0237751
+0.0228087
+0.0219359
+0.0210674
+0.0203225
+0.0196952
+0.019064
+0.0183993
+0.0177964
+0.0172339
+0.0167319
+0.0163692
+0.0162464
+0.0162704
+0.0163042
+0.0163683
+0.016567
+0.0170014
+0.0176304
+0.018439
+0.0194362
+0.0204171
+0.0214148
+0.0225047
+0.0237068
+0.0249253
+0.0262624
+0.0277085
+0.0292473
+0.0308649
+0.0325497
+0.0309727
+0.0290163
+0.0270956
+0.0252191
+0.0233824
+0.0216049
+0.0199099
+0.0183204
+0.0168662
+0.0155586
+0.0144453
+0.0135443
+0.0129213
+0.0126519
+0.0127152
+0.0130302
+0.0135515
+0.0142832
+0.0151578
+0.0161256
+0.0171358
+0.0182991
+0.0196124
+0.0210318
+0.0225409
+0.0239072
+0.0252848
+0.0267575
+0.0282735
+0.0298463
+0.0314572
+0.0331099
+0.0347754
+0.0364902
+0.0382142
+0.039984
+0.0417671
+0.0435469
+0.0453095
+0.0470926
+0.0610297
+0.0594175
+0.0578433
+0.0563041
+0.0547891
+0.0532376
+0.05173
+0.0502286
+0.048682
+0.0471356
+0.0456092
+0.0441091
+0.0426645
+0.0412043
+0.0397979
+0.0384253
+0.0371118
+0.035782
+0.0344317
+0.0331008
+0.0318217
+0.0306429
+0.0293308
+0.0281283
+0.0270304
+0.0259586
+0.02489
+0.0238747
+0.0229377
+0.0220748
+0.0211746
+0.0202879
+0.0194561
+0.0186723
+0.0180764
+0.0174262
+0.0168128
+0.0162329
+0.0157147
+0.0152043
+0.0148334
+0.0146979
+0.014734
+0.0146829
+0.014753
+0.0150551
+0.0155543
+0.0162473
+0.0171668
+0.0182609
+0.0195094
+0.0206382
+0.0217641
+0.0230049
+0.024297
+0.0256669
+0.0271447
+0.0287137
+0.0303542
+0.0320577
+0.0303778
+0.0283804
+0.0264136
+0.0244848
+0.0226038
+0.0207835
+0.0190201
+0.0173493
+0.0158059
+0.0144024
+0.013192
+0.0122537
+0.0116021
+0.0113013
+0.0112942
+0.0116247
+0.0121426
+0.0128237
+0.0136218
+0.0144622
+0.0155159
+0.0167578
+0.0181315
+0.0196324
+0.0209902
+0.0223475
+0.0238083
+0.0253113
+0.0268782
+0.0284883
+0.0301529
+0.0318334
+0.033524
+0.035257
+0.0370344
+0.0388201
+0.0405984
+0.0423602
+0.0441537
+0.0459816
+0.0595888
+0.0579546
+0.0563395
+0.0547645
+0.0532264
+0.0517164
+0.0501655
+0.0486608
+0.0471637
+0.0456249
+0.0440801
+0.0425563
+0.0410572
+0.0396215
+0.0381671
+0.036775
+0.0354104
+0.034116
+0.0327888
+0.0314619
+0.0301289
+0.0288844
+0.0277105
+0.0264344
+0.0252739
+0.0242289
+0.0231623
+0.0221596
+0.0211836
+0.020314
+0.0195223
+0.018679
+0.0178706
+0.0171391
+0.0164645
+0.0158947
+0.0153504
+0.0147697
+0.0143182
+0.0138476
+0.0134254
+0.0133008
+0.0133235
+0.013123
+0.0131963
+0.0134693
+0.0140157
+0.0147683
+0.0157285
+0.0168923
+0.0182306
+0.0196918
+0.0212247
+0.0224953
+0.0238519
+0.0252358
+0.0267276
+0.0283104
+0.0299699
+0.031694
+0.0299318
+0.0279025
+0.0258994
+0.0239292
+0.0220008
+0.0201261
+0.0183217
+0.0166079
+0.0149885
+0.0135051
+0.012206
+0.0111885
+0.0104675
+0.0101016
+0.0100851
+0.0103793
+0.0108208
+0.011325
+0.0119721
+0.0128654
+0.0139842
+0.0152933
+0.0167764
+0.0181107
+0.019453
+0.0209013
+0.0223855
+0.0239429
+0.0255501
+0.0272144
+0.0289029
+0.030584
+0.0323261
+0.0341079
+0.0358876
+0.0376702
+0.0394337
+0.0412381
+0.0430535
+0.0448474
+0.0581808
+0.0565187
+0.054882
+0.0532639
+0.0516881
+0.0501511
+0.0486469
+0.0470968
+0.0455956
+0.0441034
+0.0425736
+0.0410309
+0.0395059
+0.0380117
+0.0365831
+0.0351404
+0.033765
+0.0324113
+0.0311385
+0.0298153
+0.0285033
+0.0271853
+0.0259845
+0.024805
+0.0235752
+0.022467
+0.0214866
+0.0204464
+0.0195055
+0.0186084
+0.0178431
+0.0171151
+0.0163791
+0.015646
+0.0150001
+0.014533
+0.0139833
+0.0134545
+0.0130769
+0.0127067
+0.0122452
+0.0121069
+0.0119059
+0.0117078
+0.011763
+0.0120647
+0.0126109
+0.0134338
+0.0144558
+0.0156434
+0.0170285
+0.01856
+0.0202096
+0.0219508
+0.0235656
+0.0249652
+0.0264722
+0.0280695
+0.0297424
+0.031479
+0.0296414
+0.0275907
+0.0255632
+0.0235649
+0.021604
+0.0196916
+0.0178433
+0.0160788
+0.0144003
+0.0128762
+0.0115502
+0.0104757
+0.00966895
+0.00923412
+0.00916682
+0.00931757
+0.00940873
+0.00976074
+0.0104167
+0.0113769
+0.0125778
+0.0139999
+0.0153063
+0.0165864
+0.0180333
+0.0194753
+0.0210469
+0.0226545
+0.0243148
+0.0259942
+0.0276785
+0.029423
+0.0312136
+0.0329811
+0.034763
+0.0365355
+0.0383511
+0.0401469
+0.0419457
+0.0437802
+0.0567836
+0.0551194
+0.0534519
+0.0518125
+0.0501911
+0.0486143
+0.0470789
+0.0455813
+0.0440323
+0.0425352
+0.0410487
+0.0395297
+0.0379855
+0.0364625
+0.0349756
+0.0335506
+0.0321258
+0.0307614
+0.0294326
+0.0281791
+0.0268691
+0.0255587
+0.0242777
+0.0231335
+0.0219522
+0.020784
+0.0197473
+0.0187869
+0.0178245
+0.016957
+0.0161582
+0.0154731
+0.0148565
+0.0141547
+0.0135707
+0.013106
+0.0125899
+0.0120551
+0.0115081
+0.0112862
+0.0110918
+0.0109699
+0.010582
+0.0103487
+0.0104444
+0.0108179
+0.0113232
+0.0121519
+0.0132177
+0.0145039
+0.015988
+0.0176045
+0.0193142
+0.0211129
+0.0229798
+0.0248852
+0.0263968
+0.0279984
+0.0296753
+0.0314156
+0.0295112
+0.0274508
+0.0254121
+0.0234009
+0.021425
+0.019495
+0.0176261
+0.0158375
+0.0141303
+0.0125736
+0.0112122
+0.0101349
+0.00926208
+0.00875985
+0.00860633
+0.00809393
+0.00798165
+0.00832438
+0.00897964
+0.00999689
+0.0113298
+0.012627
+0.0138084
+0.015203
+0.0166331
+0.0181864
+0.0198137
+0.0214707
+0.0231331
+0.0248189
+0.0265599
+0.0283395
+0.0301121
+0.0318919
+0.0336729
+0.0354962
+0.0372655
+0.0390742
+0.0409149
+0.0427658
+0.0553978
+0.0537179
+0.0520623
+0.0503873
+0.0487467
+0.0471216
+0.0455439
+0.0440103
+0.0425204
+0.0409728
+0.0394806
+0.0380011
+0.0364905
+0.0349469
+0.0334292
+0.0319513
+0.0305314
+0.0291235
+0.0277786
+0.0264798
+0.0252339
+0.0239612
+0.0226466
+0.0214155
+0.0203464
+0.0191757
+0.0180799
+0.0171507
+0.0162302
+0.0153468
+0.0145898
+0.0139471
+0.0131687
+0.0124919
+0.0119476
+0.0115277
+0.0111117
+0.0106115
+0.00996937
+0.00972381
+0.00981385
+0.00982773
+0.00944774
+0.00920704
+0.0094184
+0.00971409
+0.0101894
+0.0110439
+0.0121806
+0.0135761
+0.0151193
+0.0167963
+0.0185804
+0.0204438
+0.0223431
+0.0242639
+0.0262271
+0.0280984
+0.0297697
+0.0315047
+0.0295433
+0.0274853
+0.0254494
+0.0234414
+0.0214692
+0.0195436
+0.0176798
+0.0158972
+0.0141972
+0.0126487
+0.0112964
+0.010228
+0.0093269
+0.00822374
+0.00723221
+0.00665579
+0.00653547
+0.00692048
+0.00765221
+0.0087231
+0.0100167
+0.0111914
+0.0124988
+0.0139006
+0.0154181
+0.0170434
+0.0187074
+0.0203222
+0.0220044
+0.0237495
+0.0255128
+0.0272931
+0.0290673
+0.0308558
+0.0326495
+0.0344219
+0.0362374
+0.0380766
+0.0399282
+0.0418069
+0.0540064
+0.0523365
+0.0506562
+0.0489932
+0.0473234
+0.045681
+0.0440561
+0.0424775
+0.0409462
+0.0394629
+0.0379195
+0.0364334
+0.0349624
+0.0334595
+0.0319197
+0.030409
+0.0289426
+0.0275296
+0.0261437
+0.0248241
+0.023557
+0.02233
+0.0210985
+0.0197911
+0.018629
+0.0176543
+0.016514
+0.0155199
+0.0147197
+0.0138003
+0.0130788
+0.0122832
+0.0115252
+0.010923
+0.0104567
+0.0100373
+0.00955242
+0.00908171
+0.00866145
+0.0083896
+0.00858236
+0.00875962
+0.00827804
+0.00810832
+0.00836335
+0.0087188
+0.00929947
+0.0101591
+0.0113006
+0.0127083
+0.0142664
+0.0159581
+0.0177593
+0.0196125
+0.0215077
+0.0234392
+0.0254121
+0.027418
+0.0294482
+0.0314621
+0.0297372
+0.0276936
+0.0256742
+0.0236853
+0.0217352
+0.0198355
+0.018002
+0.0162547
+0.0145964
+0.0130952
+0.0117743
+0.010077
+0.00830064
+0.00673077
+0.00553304
+0.00481828
+0.00475342
+0.00529545
+0.0062143
+0.00738059
+0.00878759
+0.00995689
+0.0113471
+0.0128017
+0.0144016
+0.0160335
+0.0176065
+0.019277
+0.0210186
+0.0227569
+0.0245416
+0.0263018
+0.028098
+0.0298485
+0.031626
+0.0334326
+0.0352769
+0.0371323
+0.0390138
+0.0409113
+0.0525093
+0.0509306
+0.0492798
+0.0475971
+0.0459269
+0.0442643
+0.0426166
+0.0409954
+0.0394161
+0.0378876
+0.0364115
+0.0348742
+0.0333955
+0.0319351
+0.030442
+0.0289075
+0.0274061
+0.025955
+0.0245485
+0.0231914
+0.0219092
+0.0206839
+0.0194861
+0.01827
+0.0170206
+0.0159578
+0.0150211
+0.0140225
+0.0131448
+0.0123405
+0.0114179
+0.0106723
+0.00999979
+0.00941798
+0.00895154
+0.00864842
+0.00790186
+0.00753323
+0.00739196
+0.00736001
+0.00718196
+0.00733271
+0.00710344
+0.00717247
+0.00750643
+0.00758908
+0.00810313
+0.00901685
+0.0102234
+0.0116815
+0.0133164
+0.0150512
+0.0168854
+0.0187802
+0.0207335
+0.0226882
+0.0246704
+0.0266852
+0.0287258
+0.0307691
+0.0300898
+0.0280718
+0.0260817
+0.0241265
+0.0221623
+0.0202324
+0.0183369
+0.0163698
+0.0144325
+0.0125353
+0.0106687
+0.00890262
+0.00713202
+0.00542298
+0.00399518
+0.00317908
+0.00321751
+0.00396575
+0.00496231
+0.00626259
+0.00775099
+0.00901496
+0.0104338
+0.0119445
+0.0135229
+0.0150395
+0.0166796
+0.0183773
+0.0200948
+0.0218596
+0.0236041
+0.0253842
+0.0271069
+0.0288729
+0.0306843
+0.0325238
+0.0343511
+0.0361749
+0.0380245
+0.0398552
+0.0510323
+0.0494375
+0.0478577
+0.0462285
+0.0445424
+0.0428651
+0.041211
+0.0395574
+0.0379409
+0.0363608
+0.0348359
+0.0333687
+0.031839
+0.0303632
+0.0289228
+0.0274425
+0.0259156
+0.024427
+0.0229967
+0.0215969
+0.0202789
+0.0190522
+0.0178732
+0.0166972
+0.0155447
+0.014382
+0.013468
+0.0125813
+0.011634
+0.0106649
+0.00982619
+0.00913337
+0.00846848
+0.00792992
+0.0075528
+0.00709297
+0.00646781
+0.00610083
+0.00623438
+0.00574902
+0.00572362
+0.00575363
+0.0057158
+0.00613669
+0.00647096
+0.00640492
+0.00691981
+0.0079156
+0.0092163
+0.010744
+0.0124545
+0.0142411
+0.0160715
+0.0179825
+0.0199512
+0.0219619
+0.0239805
+0.0260252
+0.0280919
+0.0301761
+0.0295288
+0.0274771
+0.0253975
+0.023336
+0.0212878
+0.0192705
+0.0172955
+0.0153789
+0.0134718
+0.0114728
+0.00953909
+0.00768191
+0.00588001
+0.00409202
+0.002587
+0.00170185
+0.00202727
+0.00292144
+0.00389897
+0.00539246
+0.00699098
+0.00822485
+0.00968495
+0.0112253
+0.012695
+0.0142819
+0.0158766
+0.0175573
+0.019284
+0.0209558
+0.0226664
+0.024422
+0.0261439
+0.0278912
+0.0296569
+0.031459
+0.0332823
+0.0351188
+0.0369557
+0.0388294
+0.0495683
+0.0479545
+0.0463691
+0.0447883
+0.043184
+0.041492
+0.0398089
+0.0381649
+0.0365048
+0.034894
+0.0333135
+0.0317933
+0.0303371
+0.0288173
+0.0273425
+0.0259214
+0.0244677
+0.0229519
+0.0214817
+0.0200802
+0.0186928
+0.0174306
+0.0162554
+0.015137
+0.0139869
+0.0129363
+0.0119117
+0.010951
+0.00996389
+0.00907237
+0.0082803
+0.00761707
+0.00699401
+0.00661433
+0.00621153
+0.00557262
+0.0050145
+0.00500546
+0.00456809
+0.00420897
+0.00439196
+0.00440271
+0.00442464
+0.00514637
+0.00526313
+0.00519678
+0.00569907
+0.00675611
+0.00815989
+0.00978321
+0.0115705
+0.0134157
+0.0153418
+0.0172979
+0.0193044
+0.0213471
+0.0233954
+0.0254587
+0.0275417
+0.0296402
+0.0288582
+0.0267766
+0.0247135
+0.0226619
+0.0205828
+0.0185064
+0.016454
+0.0144261
+0.0124535
+0.0105669
+0.00860334
+0.00657797
+0.00465457
+0.00282983
+0.00112599
+0.000292795
+0.00116741
+0.00198273
+0.00319364
+0.00488311
+0.00611644
+0.00730828
+0.00860396
+0.00992832
+0.0114688
+0.0131816
+0.0149807
+0.0165869
+0.0181931
+0.0198986
+0.0216016
+0.0233256
+0.0250396
+0.0268052
+0.0285928
+0.0304301
+0.0322399
+0.0340733
+0.0359126
+0.0377792
+0.0481411
+0.0464945
+0.0448795
+0.043305
+0.0417231
+0.0401476
+0.0384468
+0.0367597
+0.0351207
+0.0334606
+0.0318524
+0.0302765
+0.0287624
+0.0273204
+0.0258023
+0.0243413
+0.0229372
+0.0215175
+0.0200289
+0.0185739
+0.017199
+0.0158577
+0.014675
+0.013556
+0.0125192
+0.0114726
+0.0103805
+0.00929355
+0.00836041
+0.0075202
+0.00669131
+0.00605484
+0.005634
+0.00522865
+0.00464327
+0.00406697
+0.00383808
+0.00352792
+0.00295819
+0.0027585
+0.00309106
+0.00299931
+0.00338101
+0.00375449
+0.00390136
+0.00387659
+0.00439689
+0.00562033
+0.00717165
+0.00889208
+0.0107283
+0.0126753
+0.0146254
+0.0166226
+0.0186632
+0.0207345
+0.0228281
+0.0249383
+0.0270588
+0.0291857
+0.0283164
+0.0262116
+0.0241006
+0.0220052
+0.0199303
+0.017879
+0.0158196
+0.013722
+0.0116585
+0.00963009
+0.00766202
+0.00570736
+0.00372181
+0.0017037
+-0.000158318
+-0.000742937
+0.000567628
+0.00125146
+0.00246585
+0.00419426
+0.00527197
+0.00620755
+0.00734749
+0.00883755
+0.0105298
+0.0122346
+0.0138507
+0.0155494
+0.0171735
+0.0188528
+0.0205268
+0.0222451
+0.023987
+0.0257803
+0.0275646
+0.0293579
+0.0311777
+0.0330235
+0.034897
+0.0367483
+0.0466784
+0.0450666
+0.0434241
+0.0418079
+0.0402399
+0.0386632
+0.0371006
+0.0354079
+0.0337193
+0.0320747
+0.0304273
+0.0288166
+0.0272524
+0.0257477
+0.0243241
+0.0228082
+0.0213677
+0.0199878
+0.0186009
+0.0171648
+0.0157226
+0.0143997
+0.0131239
+0.0120479
+0.0110442
+0.00994885
+0.00876328
+0.00770473
+0.00677125
+0.00585671
+0.00512951
+0.00465908
+0.00420302
+0.00382892
+0.00298918
+0.00256603
+0.00265129
+0.00187597
+0.00140413
+0.00152911
+0.00200755
+0.00174586
+0.00233506
+0.00242158
+0.0026225
+0.00274593
+0.00322952
+0.00457228
+0.00628828
+0.0081375
+0.00997714
+0.0119344
+0.0139572
+0.0160203
+0.0181134
+0.0202061
+0.0223071
+0.0244124
+0.0265022
+0.028607
+0.0278162
+0.0257053
+0.0235999
+0.0215115
+0.0194133
+0.0173049
+0.0152199
+0.0131692
+0.0111556
+0.0090556
+0.00695862
+0.00493402
+0.00286919
+0.000850108
+-0.00109372
+-0.00139814
+-0.000224098
+0.000344099
+0.00159118
+0.00288032
+0.00399272
+0.00526164
+0.00647404
+0.00797056
+0.00944752
+0.0109551
+0.0126633
+0.0145019
+0.0161097
+0.0177554
+0.0194549
+0.0212059
+0.0229496
+0.0246911
+0.0264993
+0.0283157
+0.0301645
+0.0320094
+0.0338447
+0.035696
+0.0452693
+0.0436059
+0.0419908
+0.040358
+0.0387405
+0.0371722
+0.0356098
+0.0340519
+0.0323801
+0.0306845
+0.0290398
+0.0274084
+0.0257955
+0.0242363
+0.0227456
+0.021344
+0.0198432
+0.0184352
+0.017091
+0.0157495
+0.0143609
+0.0129848
+0.0117431
+0.0105925
+0.00963858
+0.00837956
+0.00724183
+0.0061174
+0.00519458
+0.00431323
+0.00375407
+0.0032514
+0.00295124
+0.00215111
+0.00154305
+0.0014173
+0.00109552
+0.00026071
+-2.91369e-05
+0.000291147
+0.000517599
+0.000535976
+0.00122893
+0.00107774
+0.0013683
+0.00182113
+0.00231395
+0.00364283
+0.0053333
+0.00723857
+0.00924383
+0.0112682
+0.0133378
+0.0154409
+0.0175189
+0.019609
+0.021719
+0.0238436
+0.025938
+0.028033
+0.0273073
+0.0252116
+0.0231206
+0.0210427
+0.0189583
+0.0168426
+0.014749
+0.0126881
+0.0106657
+0.00863673
+0.00665222
+0.00454047
+0.00247487
+0.000503984
+-0.00131723
+-0.000757993
+-0.000901894
+-0.000834827
+0.000464118
+0.00158476
+0.0026486
+0.00417953
+0.00558854
+0.00679668
+0.00820877
+0.00990612
+0.0116571
+0.013419
+0.0150937
+0.0167379
+0.018481
+0.0201325
+0.0218789
+0.0236841
+0.0254947
+0.0273198
+0.0291151
+0.0309516
+0.0327991
+0.0346728
+0.0439117
+0.042208
+0.0405373
+0.0389182
+0.0372972
+0.0356785
+0.03411
+0.0325613
+0.0310087
+0.029367
+0.0276601
+0.0260197
+0.0244095
+0.0227951
+0.0212423
+0.019769
+0.0183984
+0.0169228
+0.015567
+0.0142711
+0.0129645
+0.0116642
+0.0103912
+0.00929818
+0.00815745
+0.00683449
+0.00566831
+0.004601
+0.00365193
+0.00291964
+0.00239493
+0.00181604
+0.00163489
+0.000521931
+0.000208292
+0.000504648
+-0.000544561
+-0.00104066
+-0.000907274
+-0.000662193
+-0.000840605
+-0.000490507
+-0.000242109
+-0.000294468
+0.000207404
+0.00067488
+0.00121235
+0.00271729
+0.0045425
+0.00657653
+0.00862363
+0.0106694
+0.0127533
+0.0148678
+0.0169346
+0.019012
+0.0211123
+0.0232294
+0.0253589
+0.0274622
+0.0266463
+0.0246281
+0.0226421
+0.0205714
+0.018496
+0.0164325
+0.014402
+0.0123458
+0.0102684
+0.00821909
+0.00626126
+0.00435854
+0.0024838
+0.000601329
+-0.000512213
+0.000424868
+-0.000538725
+-0.00197102
+-0.000533313
+0.000326511
+0.00134625
+0.00295086
+0.00456947
+0.00574822
+0.00719011
+0.00882876
+0.0106066
+0.0124484
+0.0140795
+0.015779
+0.0174112
+0.0191465
+0.0209299
+0.022709
+0.0244503
+0.026259
+0.0280771
+0.029936
+0.0317878
+0.0336597
+0.0425893
+0.0408563
+0.0391524
+0.0374736
+0.03585
+0.0342431
+0.0326232
+0.031055
+0.0295186
+0.0279704
+0.0263325
+0.0246534
+0.0230088
+0.0214292
+0.0198247
+0.018283
+0.0168363
+0.0155009
+0.0140772
+0.0128063
+0.0115706
+0.0103447
+0.00915464
+0.00792063
+0.00655676
+0.00536043
+0.00415985
+0.00315975
+0.00223547
+0.00163724
+0.000974339
+0.000686441
+-6.76079e-05
+-0.00100818
+-0.000525019
+-0.000725324
+9.95713e-05
+0.000358754
+0.000399878
+-0.000311377
+-0.00220266
+-0.000497846
+-5.63753e-05
+-0.000593708
+-0.000971285
+-0.000295944
+0.000212151
+0.00187189
+0.00385952
+0.00597456
+0.00799135
+0.0100116
+0.0120878
+0.0141984
+0.0163301
+0.0184553
+0.0205427
+0.0226484
+0.0247569
+0.0268603
+0.0259135
+0.0240672
+0.0220411
+0.0200397
+0.0180806
+0.0160057
+0.0139614
+0.011969
+0.0100486
+0.0081371
+0.00620278
+0.00429001
+0.00260086
+0.00129092
+0.000715916
+0.00171363
+1.98384e-05
+-0.00129398
+-0.000666032
+-0.00102821
+9.0863e-05
+0.00175447
+0.0034512
+0.00468968
+0.00616312
+0.00788308
+0.00955815
+0.0112708
+0.0130166
+0.0147996
+0.0165029
+0.0181889
+0.0198981
+0.0216439
+0.0234237
+0.0252471
+0.0270773
+0.0289378
+0.0307992
+0.0326934
+0.041259
+0.0395399
+0.0378077
+0.0361041
+0.034416
+0.0327874
+0.0311976
+0.0295769
+0.0280094
+0.0264845
+0.0249468
+0.0233023
+0.0216678
+0.020018
+0.0184487
+0.0169003
+0.0153783
+0.0139751
+0.0126864
+0.0113645
+0.0102296
+0.00903307
+0.00769535
+0.00637159
+0.00506544
+0.00385979
+0.00277439
+0.00178782
+0.000920321
+0.00026364
+-0.000195949
+-0.000375222
+-0.000361258
+-0.00175149
+-0.000998355
+0.000794524
+0.00154431
+0.00162207
+0.00124253
+-0.000772522
+-0.000976588
+0.000627903
+0.00116594
+0.000506233
+-0.000605803
+-0.00125236
+-0.000782099
+0.00113813
+0.00310837
+0.0051725
+0.00731028
+0.00942889
+0.0115405
+0.0136315
+0.015747
+0.0178404
+0.0199514
+0.0220604
+0.0241009
+0.0260466
+0.02488
+0.023047
+0.0212818
+0.0195699
+0.0175725
+0.015627
+0.0136961
+0.011685
+0.00975145
+0.00785839
+0.00609359
+0.00437143
+0.00292107
+0.00195566
+0.00198085
+0.0025951
+0.000930087
+-7.85483e-05
+0.000193447
+-8.91577e-05
+-0.00113336
+0.000455338
+0.00220703
+0.00373303
+0.00511358
+0.00668713
+0.00834137
+0.0101184
+0.0119047
+0.0137169
+0.015446
+0.0171522
+0.0188946
+0.0206557
+0.0224474
+0.0242652
+0.0261193
+0.0279867
+0.0298598
+0.0317571
+0.0399768
+0.0382111
+0.0364882
+0.034768
+0.0330586
+0.0313664
+0.0297322
+0.0281637
+0.0265425
+0.0249768
+0.0234603
+0.0219351
+0.0202927
+0.0187189
+0.0170652
+0.0155143
+0.0140505
+0.0125662
+0.0112327
+0.0100404
+0.00885807
+0.00755704
+0.00621369
+0.00487957
+0.00371692
+0.00251409
+0.00140255
+0.000337972
+-0.000411028
+-0.000377026
+0.000427713
+0.000971157
+-0.000805193
+-0.00114112
+0.000323262
+0.00206901
+0.00294367
+0.00287492
+0.000977871
+-0.00041615
+0.000264447
+0.00190484
+0.00227456
+0.0015885
+0.000236527
+-0.0018933
+-0.00168922
+0.000394065
+0.00250987
+0.00463551
+0.00675294
+0.00884627
+0.010938
+0.0130616
+0.0151845
+0.0172036
+0.0192603
+0.0211811
+0.0231193
+0.0250957
+0.02382
+0.0220492
+0.0202489
+0.018476
+0.016802
+0.015197
+0.0132552
+0.0113933
+0.00959259
+0.00776813
+0.00612011
+0.00468538
+0.00350767
+0.00291038
+0.00309958
+0.0034117
+0.00195111
+0.0010951
+0.00102776
+0.000993408
+-0.00045934
+-0.000749469
+0.0011762
+0.00274662
+0.00401637
+0.00558339
+0.00725335
+0.0089604
+0.0108272
+0.0126526
+0.0144381
+0.0161605
+0.0179314
+0.0197027
+0.0215216
+0.0233588
+0.0251895
+0.027042
+0.0289175
+0.0308346
+0.0387508
+0.036953
+0.035172
+0.0334395
+0.0317315
+0.0300175
+0.0283273
+0.0266868
+0.025123
+0.0235211
+0.0219624
+0.0204576
+0.0189374
+0.0173142
+0.0157754
+0.0141746
+0.0126418
+0.0113052
+0.00987165
+0.00865368
+0.00762491
+0.00616811
+0.00481069
+0.00345729
+0.00225751
+0.00107778
+-1.77723e-06
+-0.000432479
+0.000418826
+0.000933714
+0.00161273
+0.000281103
+-0.000599367
+0.00038457
+0.00175306
+0.00338629
+0.00437823
+0.00267635
+0.00105815
+0.000539411
+0.00141984
+0.00295137
+0.0034894
+0.00256134
+0.00059867
+-0.00156751
+-0.00179304
+4.83244e-05
+0.00201147
+0.0041082
+0.00621741
+0.00836777
+0.010347
+0.0123799
+0.0144589
+0.0163352
+0.0182622
+0.0202346
+0.0222364
+0.0242708
+0.0227369
+0.0210299
+0.019255
+0.0175518
+0.01578
+0.0141263
+0.0126144
+0.011032
+0.00933021
+0.00774174
+0.0062872
+0.00508481
+0.00421107
+0.00380787
+0.00411258
+0.00429883
+0.00291221
+0.00203685
+0.00184331
+0.00237929
+0.0013254
+-9.40196e-05
+9.77959e-05
+0.00187342
+0.00301175
+0.00444336
+0.00613167
+0.0078674
+0.00970553
+0.0116216
+0.0133513
+0.0151319
+0.0169699
+0.0188114
+0.0205995
+0.0224056
+0.0242439
+0.0261367
+0.0280728
+0.0300356
+0.0375255
+0.0357411
+0.0339339
+0.0321442
+0.0303972
+0.0286897
+0.0269894
+0.0253026
+0.0236552
+0.022095
+0.0205215
+0.018975
+0.0174882
+0.0159696
+0.0143865
+0.012873
+0.0113774
+0.00987111
+0.0086513
+0.00747637
+0.00622978
+0.00480048
+0.00336436
+0.00213926
+0.000802421
+-0.000328543
+-7.42918e-05
+0.000989201
+0.00169626
+0.0024244
+0.00179986
+0.000550005
+0.000721572
+0.00187211
+0.00333574
+0.00480877
+0.00418074
+0.00274748
+0.00167342
+0.00168126
+0.00270314
+0.00399365
+0.00468221
+0.00314744
+0.00105184
+-0.000844344
+-0.00124208
+-8.98283e-05
+0.00183039
+0.00371291
+0.00559964
+0.00763937
+0.00974486
+0.011534
+0.0134351
+0.0153972
+0.0174039
+0.0194503
+0.0215251
+0.0234155
+0.021668
+0.0199068
+0.018198
+0.0165496
+0.0148783
+0.0132609
+0.0116371
+0.0102157
+0.00891193
+0.00756636
+0.00652012
+0.00554765
+0.00494715
+0.00475506
+0.00515992
+0.00521528
+0.00398452
+0.00322218
+0.00277038
+0.00319361
+0.00259889
+0.000967844
+-0.000902307
+0.0010263
+0.00200169
+0.00331261
+0.00498326
+0.00683072
+0.00875456
+0.0105504
+0.0124041
+0.0141898
+0.0160205
+0.0178832
+0.0196801
+0.0215283
+0.0234339
+0.0253494
+0.027282
+0.0292404
+0.036258
+0.0344743
+0.0327228
+0.030921
+0.0291238
+0.0273672
+0.0256609
+0.0239792
+0.022298
+0.0206432
+0.0190894
+0.0175562
+0.0160298
+0.0145676
+0.0130624
+0.01154
+0.0100428
+0.00870437
+0.00733353
+0.00629567
+0.0048405
+0.00338295
+0.00196659
+0.000747107
+-0.000579724
+8.38772e-05
+0.00141882
+0.0023797
+0.00321276
+0.00334493
+0.0025301
+0.00208314
+0.00222718
+0.00333068
+0.00477702
+0.00590672
+0.00418222
+0.00288332
+0.00235648
+0.00255099
+0.00372817
+0.00510283
+0.00570263
+0.00369416
+0.00158656
+-0.000528436
+-0.000795139
+8.473e-06
+0.00130652
+0.00318061
+0.00514789
+0.00683703
+0.00867961
+0.010616
+0.0126223
+0.0146814
+0.0167111
+0.0186949
+0.0207046
+0.0223247
+0.0205166
+0.0187691
+0.0171133
+0.0154407
+0.0138532
+0.0123582
+0.0108245
+0.00944615
+0.00818742
+0.00712307
+0.0063582
+0.00555863
+0.00514868
+0.00545813
+0.00610095
+0.00614696
+0.00493243
+0.0041259
+0.00359144
+0.00384555
+0.00373657
+0.00185094
+-6.99701e-05
+-6.04286e-05
+0.00108827
+0.00238347
+0.00398106
+0.00571614
+0.00755283
+0.009396
+0.0112652
+0.0132144
+0.0151711
+0.0170105
+0.0188788
+0.0207284
+0.0226287
+0.0245559
+0.0264697
+0.0284216
+0.0350327
+0.0332236
+0.0314273
+0.0296657
+0.0279267
+0.0261128
+0.0243475
+0.0226396
+0.0209594
+0.0193083
+0.0176587
+0.016105
+0.014646
+0.0130973
+0.011632
+0.0102249
+0.0088171
+0.00741778
+0.00623036
+0.00478358
+0.00337292
+0.00194953
+0.00062927
+-0.000687447
+0.000293255
+0.00156568
+0.00285402
+0.00377516
+0.00448027
+0.00353436
+0.00333251
+0.00360625
+0.00417119
+0.00496909
+0.00624337
+0.00627533
+0.00481405
+0.00369488
+0.00330706
+0.00371778
+0.0047977
+0.00619027
+0.00526588
+0.00321067
+0.00140221
+-0.000121689
+-0.00069887
+0.000235191
+0.000948448
+0.00248881
+0.00412903
+0.00595819
+0.00796549
+0.00996099
+0.0119159
+0.0139362
+0.0158818
+0.0177878
+0.0197528
+0.0211536
+0.0193912
+0.0176778
+0.0159202
+0.0142806
+0.0127531
+0.0112153
+0.00989988
+0.00866159
+0.00751828
+0.00647749
+0.00569601
+0.00546366
+0.00555911
+0.0058006
+0.00652769
+0.00695256
+0.00583571
+0.00498443
+0.00439108
+0.00455414
+0.00443495
+0.00244216
+0.000526485
+-0.00123976
+0.000192991
+0.00114404
+0.00273007
+0.00454589
+0.00639594
+0.00833239
+0.0103192
+0.0122757
+0.0142339
+0.0161115
+0.0180598
+0.0199259
+0.0218034
+0.0237346
+0.0257074
+0.0276638
+0.0337433
+0.0319888
+0.0301896
+0.0283913
+0.026618
+0.0248891
+0.0231249
+0.0213373
+0.0196261
+0.0179638
+0.0163434
+0.014703
+0.0131644
+0.0117888
+0.0102054
+0.00880106
+0.00754247
+0.00615871
+0.00469363
+0.00320109
+0.00183062
+0.00044884
+-0.000724489
+0.000628891
+0.00183533
+0.00310781
+0.00417417
+0.00518385
+0.00490446
+0.00433065
+0.00436332
+0.00504441
+0.00588784
+0.00681689
+0.00786727
+0.006956
+0.00565555
+0.00482679
+0.0045993
+0.00507713
+0.00601121
+0.00734297
+0.00546895
+0.00351261
+0.00192553
+0.00103698
+0.000478352
+-0.000353715
+0.00045432
+0.00181297
+0.00352004
+0.00532097
+0.00724163
+0.00926707
+0.0111148
+0.0129819
+0.0149366
+0.0167977
+0.0186986
+0.0198007
+0.0181919
+0.0164664
+0.0147677
+0.0131808
+0.01153
+0.0100649
+0.00865964
+0.00744698
+0.00663651
+0.00590248
+0.00556773
+0.00546491
+0.00586669
+0.0066016
+0.0072986
+0.00766311
+0.00650552
+0.00569546
+0.00523306
+0.00527147
+0.00512484
+0.00307123
+0.00109723
+-0.000764188
+-0.00101653
+-3.02413e-05
+0.00160816
+0.00347779
+0.00543739
+0.0073889
+0.00940602
+0.0114837
+0.0134799
+0.0153239
+0.0171878
+0.0191211
+0.0210541
+0.0229887
+0.0249629
+0.0269229
+0.0324683
+0.0306959
+0.0289274
+0.0271681
+0.0253663
+0.0235773
+0.0218341
+0.0201703
+0.0183564
+0.0166333
+0.0149915
+0.013405
+0.0118061
+0.0103163
+0.00897106
+0.00742356
+0.0061425
+0.0047212
+0.00313685
+0.00162051
+0.000280607
+-0.000571957
+0.000896228
+0.00221402
+0.00345958
+0.00469786
+0.00561878
+0.00619646
+0.00567822
+0.005324
+0.00556641
+0.00628385
+0.00737097
+0.00861099
+0.00929736
+0.0079902
+0.00692265
+0.00619661
+0.00603122
+0.0064787
+0.0073143
+0.00801097
+0.00618126
+0.00456702
+0.00299535
+0.0017484
+0.000924153
+0.000538507
+0.000268832
+0.00149453
+0.00292888
+0.00474097
+0.00642462
+0.00818841
+0.0100785
+0.0119723
+0.0138597
+0.0156502
+0.0173961
+0.0184396
+0.0167176
+0.0150989
+0.0135405
+0.0118273
+0.0102644
+0.00884434
+0.00746282
+0.00641883
+0.00533176
+0.00483914
+0.00498021
+0.00537156
+0.00621296
+0.00713453
+0.00827364
+0.00833844
+0.0072635
+0.00639609
+0.00581551
+0.00574463
+0.00582026
+0.00381795
+0.00185826
+-9.62762e-05
+-0.00187954
+-0.00121175
+0.000594891
+0.00250822
+0.0045717
+0.00669322
+0.00872524
+0.0107153
+0.0127038
+0.0145427
+0.0164277
+0.0183658
+0.0202666
+0.0221898
+0.0241384
+0.0261184
+0.0312243
+0.0294154
+0.0276438
+0.0258695
+0.0241416
+0.0223393
+0.0205483
+0.0187933
+0.0171151
+0.0154217
+0.01368
+0.0120512
+0.0105173
+0.00899018
+0.00752533
+0.00627923
+0.00485327
+0.00329387
+0.00168076
+0.000108174
+-0.000656357
+0.000929057
+0.00250207
+0.00386881
+0.00518578
+0.00627067
+0.00719737
+0.00674228
+0.00640794
+0.00660553
+0.00685073
+0.00760913
+0.00869373
+0.0100004
+0.00984393
+0.00874845
+0.00796141
+0.00753089
+0.00760329
+0.00802946
+0.0088108
+0.00877183
+0.00687504
+0.00516856
+0.00369494
+0.00260912
+0.00138945
+0.000402706
+0.000403679
+0.000572428
+0.00219657
+0.00348232
+0.00526822
+0.00720252
+0.00905855
+0.0108911
+0.0126072
+0.01433
+0.0158351
+0.0172475
+0.0153929
+0.0136383
+0.0120083
+0.0105257
+0.00899244
+0.00747796
+0.00627631
+0.00520964
+0.00442194
+0.00392387
+0.00413453
+0.005022
+0.00621636
+0.00762563
+0.00871681
+0.0091927
+0.00814507
+0.00721757
+0.00672948
+0.00673015
+0.00669822
+0.00456771
+0.00246185
+0.000417947
+-0.00140711
+-0.00172311
+-9.46523e-05
+0.00188019
+0.00383576
+0.00584839
+0.00782942
+0.0098499
+0.0118527
+0.013816
+0.0156405
+0.0175169
+0.0194369
+0.0213605
+0.023328
+0.025291
+0.0299341
+0.0281998
+0.0263662
+0.0245818
+0.0228221
+0.0210763
+0.0193225
+0.0175418
+0.0157706
+0.0140776
+0.0124623
+0.0108038
+0.00921308
+0.00773323
+0.00627837
+0.00492849
+0.00346705
+0.00188241
+0.00024054
+-0.000804444
+0.000820066
+0.00237262
+0.0039919
+0.00551878
+0.0068673
+0.00788359
+0.00812208
+0.00762708
+0.00738453
+0.00764934
+0.00830316
+0.00908054
+0.0100924
+0.0113571
+0.0104401
+0.00946565
+0.0088097
+0.00861424
+0.00882504
+0.00938696
+0.0103394
+0.00895112
+0.00710238
+0.00548251
+0.00399671
+0.00221057
+0.00104631
+0.00101974
+-0.000162802
+-0.000103699
+0.000719721
+0.00249079
+0.00426856
+0.00619925
+0.00781555
+0.00956687
+0.0112814
+0.0127513
+0.0143756
+0.0156642
+0.0142827
+0.0123717
+0.0105698
+0.00892051
+0.00745847
+0.00622849
+0.00494074
+0.0037826
+0.00323136
+0.00303647
+0.00372781
+0.00476264
+0.00608839
+0.00755398
+0.00915868
+0.0102112
+0.00927399
+0.00843256
+0.00800543
+0.00802481
+0.00738231
+0.00531586
+0.0033759
+0.0016887
+2.3917e-05
+-0.00116763
+-0.000873243
+0.000951124
+0.00293775
+0.00499761
+0.00696708
+0.00892969
+0.0109662
+0.0129164
+0.0147986
+0.0166772
+0.0186056
+0.0205446
+0.0225234
+0.0245311
+0.0286803
+0.0268726
+0.025126
+0.0233291
+0.0215254
+0.0197748
+0.0180174
+0.0163274
+0.0145359
+0.0127677
+0.0110738
+0.00945362
+0.00798824
+0.00649092
+0.00505216
+0.00348908
+0.00195401
+0.000458822
+-0.00103683
+0.000631044
+0.00227292
+0.00385871
+0.00542147
+0.00705855
+0.00854902
+0.00935006
+0.00877679
+0.00862775
+0.00865955
+0.00897287
+0.00966991
+0.0106028
+0.0116485
+0.0122062
+0.0111011
+0.0102149
+0.00972135
+0.00964118
+0.010007
+0.0107079
+0.0114726
+0.00960959
+0.00791615
+0.00604997
+0.00433209
+0.00298529
+0.00222568
+0.00117879
+0.000185951
+-0.000992819
+-6.89092e-05
+0.00138737
+0.00320626
+0.00473932
+0.00658066
+0.00826654
+0.00967657
+0.0113182
+0.0131212
+0.0135706
+0.0132995
+0.0113891
+0.00940073
+0.00752552
+0.0058395
+0.00440067
+0.00327895
+0.00235705
+0.00203415
+0.00260739
+0.00319998
+0.0042992
+0.00595079
+0.00772701
+0.00940381
+0.0111747
+0.0105519
+0.009943
+0.00947618
+0.00943091
+0.00825348
+0.00644058
+0.00478594
+0.00279789
+0.000875893
+-0.000802307
+-0.00104122
+0.00015137
+0.00208209
+0.00406782
+0.0061167
+0.00823211
+0.0101017
+0.0120078
+0.0139049
+0.0158528
+0.017818
+0.0197642
+0.021713
+0.0237032
+0.0275186
+0.0256563
+0.0238206
+0.0220498
+0.0203104
+0.018473
+0.0167068
+0.0149745
+0.0132813
+0.011547
+0.00981912
+0.00809816
+0.00648396
+0.00510609
+0.00371871
+0.00205544
+0.000395915
+-0.00108814
+0.000310715
+0.00202723
+0.00370594
+0.0052909
+0.00691405
+0.00848806
+0.0101336
+0.0101055
+0.00968608
+0.0096245
+0.00995652
+0.0104764
+0.0111259
+0.0120594
+0.0131841
+0.0128183
+0.0118898
+0.0112183
+0.0108133
+0.0107363
+0.0110207
+0.0117122
+0.0123568
+0.0103652
+0.00845181
+0.00666119
+0.00510567
+0.00401673
+0.00273471
+0.00125111
+-8.38438e-05
+-0.000997894
+-0.00113064
+0.000320677
+0.00174238
+0.00365766
+0.00524144
+0.00661846
+0.00828684
+0.0101375
+0.0120765
+0.0115132
+0.0111924
+0.0107037
+0.0085978
+0.00654784
+0.00455432
+0.00278213
+0.0013656
+0.000884249
+0.000463891
+0.00154912
+0.00281961
+0.00396675
+0.00562457
+0.00753747
+0.00957022
+0.0114916
+0.0117589
+0.0112727
+0.0108466
+0.0106712
+0.00952538
+0.00772884
+0.00562119
+0.00354611
+0.00156467
+-2.63569e-05
+-0.000207609
+-0.0006513
+0.00133077
+0.00335734
+0.00549138
+0.00729052
+0.00916784
+0.0110796
+0.0130678
+0.0149825
+0.0169411
+0.0189308
+0.0209059
+0.0228968
+0.0262328
+0.0244612
+0.0226494
+0.0207822
+0.0189809
+0.0172343
+0.0154373
+0.0136454
+0.0119178
+0.0102371
+0.00859986
+0.00685972
+0.00515241
+0.00365977
+0.00224969
+0.000696396
+-0.000951756
+-4.93544e-05
+0.00165279
+0.00337125
+0.00508189
+0.00673988
+0.00835526
+0.0099914
+0.0111416
+0.0108832
+0.0107844
+0.0108414
+0.0111728
+0.0118652
+0.0126831
+0.0135756
+0.0145162
+0.0134565
+0.0126897
+0.0122071
+0.0119367
+0.0119491
+0.0122729
+0.0128932
+0.0129985
+0.0111224
+0.00936508
+0.00779397
+0.00645559
+0.00500476
+0.00337641
+0.00171485
+0.000212375
+-0.00115594
+-0.00166778
+-0.000850197
+0.000580592
+0.00217142
+0.00356815
+0.0052915
+0.00722132
+0.00925329
+0.0102535
+0.00949265
+0.00912468
+0.00925063
+0.00768228
+0.00587829
+0.00389922
+0.00178851
+1.64408e-05
+-0.000594828
+-0.000630189
+0.000880184
+0.0018449
+0.00354974
+0.00560321
+0.0076159
+0.0096098
+0.0116745
+0.0127439
+0.0122422
+0.0117893
+0.0116492
+0.010381
+0.00829214
+0.0062225
+0.00424163
+0.00236872
+0.000933845
+0.000433229
+-0.000604528
+0.000731107
+0.00269154
+0.00456182
+0.00643079
+0.00834026
+0.0101808
+0.0121235
+0.0140885
+0.0160542
+0.0180471
+0.0200779
+0.0220194
+0.0249962
+0.0231818
+0.0214149
+0.0196499
+0.0177645
+0.0159232
+0.0141577
+0.0124325
+0.0105878
+0.00885626
+0.00718003
+0.00556995
+0.00388048
+0.00230172
+0.000829376
+-0.000744532
+-0.000372742
+0.00129392
+0.00301542
+0.0047215
+0.00644465
+0.00810549
+0.00976915
+0.0114378
+0.011995
+0.0117701
+0.0118735
+0.0121411
+0.0125655
+0.0132289
+0.0141413
+0.0151953
+0.0152224
+0.0142561
+0.0135037
+0.0130721
+0.0129402
+0.0130874
+0.0134859
+0.0141904
+0.0139582
+0.0122302
+0.0106516
+0.00927092
+0.00765661
+0.00572885
+0.00383123
+0.00218328
+0.000870948
+-0.000943176
+-0.00237645
+-0.00245967
+-0.000774406
+0.000618702
+0.00243226
+0.00453256
+0.00628372
+0.00779245
+0.00850184
+0.00756682
+0.00713082
+0.00729129
+0.00663658
+0.00465195
+0.00294419
+0.00106238
+-0.000951406
+-0.0021497
+-0.00185594
+-0.000286983
+0.00103986
+0.00312443
+0.00527002
+0.00744194
+0.00962236
+0.0118066
+0.0137833
+0.0132768
+0.0128068
+0.0126417
+0.0110223
+0.0090057
+0.00704072
+0.00515909
+0.00337619
+0.00185938
+0.00108628
+0.000168748
+-0.000104738
+0.00185345
+0.00369533
+0.00547284
+0.00736563
+0.00930532
+0.011241
+0.0132334
+0.0152475
+0.0171852
+0.0191412
+0.0211064
+0.0237883
+0.0219628
+0.0201451
+0.0183741
+0.0165881
+0.0147632
+0.0128849
+0.0110931
+0.00938512
+0.00755998
+0.0057924
+0.00412726
+0.0025894
+0.00108221
+-0.000447271
+-0.000605658
+0.00108886
+0.00264612
+0.00430938
+0.00595618
+0.00767526
+0.00934102
+0.0110367
+0.0128173
+0.0128917
+0.0128971
+0.013061
+0.0133514
+0.0139386
+0.014685
+0.0155996
+0.0166637
+0.0158101
+0.0149956
+0.0144235
+0.0140712
+0.0140046
+0.014241
+0.0146404
+0.0152941
+0.0151756
+0.0135813
+0.0121387
+0.0103794
+0.00847794
+0.00655265
+0.00478742
+0.00333258
+0.00124241
+-0.000227556
+-0.00209453
+-0.00343943
+-0.00200239
+-6.75306e-05
+0.00157093
+0.00337821
+0.00482152
+0.00664904
+0.00698029
+0.00581335
+0.00527116
+0.00545054
+0.00605641
+0.00397521
+0.00181996
+-7.07123e-05
+-0.00153468
+-0.00344616
+-0.00238487
+-0.000420514
+0.00128089
+0.00328337
+0.00538363
+0.00753126
+0.00969816
+0.0118738
+0.0140541
+0.0143874
+0.013915
+0.0136666
+0.0118732
+0.0098899
+0.00791043
+0.00598882
+0.00417251
+0.00266301
+0.00189946
+0.000543524
+-0.000936779
+0.00093187
+0.00273754
+0.00463735
+0.00655542
+0.00851706
+0.0104783
+0.0123873
+0.0143254
+0.0162708
+0.0182675
+0.0202675
+0.0226445
+0.0207804
+0.0189411
+0.0171305
+0.0153243
+0.0135429
+0.0118017
+0.00987596
+0.00802831
+0.00629647
+0.00455603
+0.00276825
+0.00113763
+-0.000206632
+-0.0012429
+0.000449516
+0.00198962
+0.00364155
+0.00529702
+0.00705949
+0.0087395
+0.0104565
+0.012228
+0.0137895
+0.0137458
+0.0139544
+0.0143043
+0.0147715
+0.0153043
+0.0161192
+0.01706
+0.017268
+0.0163464
+0.0156187
+0.0150816
+0.0148223
+0.0148247
+0.015122
+0.0156844
+0.0165046
+0.0165262
+0.015047
+0.0131153
+0.0111319
+0.00921789
+0.00744432
+0.00573393
+0.00372422
+0.00197831
+0.000170912
+-0.00195861
+-0.00358665
+-0.00245093
+-0.00101701
+0.000538822
+0.00205479
+0.00388357
+0.00542739
+0.00554021
+0.00441071
+0.00366467
+0.00390002
+0.00487822
+0.00329277
+0.00123341
+-0.000524869
+-0.00249168
+-0.00328474
+-0.00167311
+0.000338546
+0.00245204
+0.00418678
+0.00611632
+0.00810812
+0.0101818
+0.0122794
+0.0143984
+0.0155104
+0.0149708
+0.014678
+0.0126752
+0.0106683
+0.00872534
+0.00690646
+0.00518392
+0.00373815
+0.00252858
+0.000890769
+-0.000863957
+-2.67662e-05
+0.00184354
+0.0037899
+0.00575941
+0.00762307
+0.00957021
+0.0114887
+0.0134714
+0.0154325
+0.0174397
+0.0194865
+0.0216196
+0.0196889
+0.017797
+0.0159447
+0.0141289
+0.0122986
+0.0105285
+0.00876143
+0.00690418
+0.00499154
+0.00320883
+0.0015115
+-0.000196014
+-0.00159411
+-0.000564209
+0.00106593
+0.00279859
+0.0045487
+0.00638663
+0.00811983
+0.00989446
+0.0116355
+0.0133612
+0.014719
+0.0147745
+0.0149811
+0.0154582
+0.0160905
+0.016832
+0.0175767
+0.0185232
+0.0179003
+0.017013
+0.0163222
+0.0158778
+0.015691
+0.015699
+0.0159476
+0.0164819
+0.0172445
+0.017545
+0.0158413
+0.0139017
+0.0120486
+0.0103015
+0.00845677
+0.00646579
+0.00462903
+0.0026768
+0.000743049
+-0.000703807
+-0.00255385
+-0.00373828
+-0.00211149
+-0.000365739
+0.00106104
+0.00264192
+0.00392542
+0.00405897
+0.00288171
+0.002435
+0.00306754
+0.00384144
+0.00185231
+0.0003994
+-0.00142482
+-0.00336695
+-0.00195852
+-0.000432806
+0.00125753
+0.00294889
+0.00498337
+0.00704361
+0.00893247
+0.0109117
+0.0129591
+0.0150246
+0.0165215
+0.0160141
+0.0154499
+0.0134883
+0.0115795
+0.00968319
+0.00780876
+0.00598914
+0.00414113
+0.00251703
+0.00104067
+-0.00058906
+-0.000994456
+0.000928767
+0.00281893
+0.00474638
+0.00669528
+0.00861787
+0.0106229
+0.0126621
+0.0146954
+0.01673
+0.0187779
+0.0207659
+0.0187527
+0.016777
+0.0148574
+0.0129756
+0.0111365
+0.00930155
+0.00752352
+0.00572531
+0.00389099
+0.00199404
+0.000147541
+-0.00153134
+-0.00187497
+1.35924e-05
+0.00189272
+0.0037219
+0.00562619
+0.00740958
+0.00924338
+0.0110356
+0.0128271
+0.0146016
+0.0157952
+0.0159012
+0.0161067
+0.0165716
+0.0172731
+0.0181772
+0.019163
+0.0195899
+0.0185755
+0.0177745
+0.0172166
+0.0168553
+0.0166795
+0.0167096
+0.0169452
+0.0174489
+0.018175
+0.0185523
+0.0167867
+0.0149406
+0.0131384
+0.0111211
+0.00918365
+0.00729896
+0.00529865
+0.00350734
+0.00204966
+-6.25114e-05
+-0.00111524
+-0.00200498
+-0.0030077
+-0.00158658
+9.70159e-05
+0.000913081
+0.00284019
+0.00301754
+0.0014537
+0.000642218
+0.00152094
+0.00319516
+0.00108092
+-0.00101151
+-0.00266035
+-0.00171473
+-0.000494509
+0.000778524
+0.0021954
+0.004165
+0.00596174
+0.00784618
+0.00985782
+0.0118359
+0.0137657
+0.0157473
+0.0174938
+0.0170054
+0.0162859
+0.0141955
+0.0121406
+0.0101057
+0.00811406
+0.00615544
+0.00421143
+0.00252668
+0.00101499
+-0.000344432
+-0.00193331
+-3.53876e-05
+0.00184359
+0.00376147
+0.00578895
+0.00790285
+0.00983443
+0.0118553
+0.0139187
+0.0159884
+0.0180641
+0.0200449
+0.0179882
+0.0159598
+0.0139379
+0.0119657
+0.0100705
+0.00820156
+0.00633893
+0.00453049
+0.00272594
+0.000903686
+-0.000960744
+-0.00199486
+-0.000369047
+0.00117105
+0.00296283
+0.00483173
+0.00662388
+0.00850523
+0.0103853
+0.0121835
+0.0140129
+0.0158112
+0.016736
+0.0170084
+0.0174106
+0.0178471
+0.0185077
+0.0193829
+0.0204458
+0.0201655
+0.0192779
+0.0185784
+0.0180453
+0.0177682
+0.0177188
+0.0179268
+0.0181427
+0.018614
+0.0193037
+0.0196228
+0.01787
+0.0159023
+0.0139462
+0.0120444
+0.0100336
+0.00811637
+0.00634075
+0.00482608
+0.00298352
+0.00176099
+0.000452092
+-0.000451461
+-0.00133734
+-0.0019552
+-0.00161471
+0.000329548
+0.00231316
+0.00163465
+0.000115726
+-0.000975433
+0.000167499
+0.00158032
+0.000725556
+-0.00145612
+-0.00113774
+-0.000287058
+0.00101274
+0.0022746
+0.00370317
+0.00522587
+0.00704334
+0.00902166
+0.0108261
+0.0127444
+0.0147389
+0.01669
+0.0182989
+0.0178421
+0.0166465
+0.0145322
+0.0124396
+0.0103875
+0.00837726
+0.00638582
+0.00442703
+0.00268823
+0.0011179
+-0.000159233
+-0.00160552
+-0.00101036
+0.000912025
+0.00290047
+0.00494482
+0.0069958
+0.00906698
+0.0111399
+0.0132508
+0.0153584
+0.0174298
+0.0192747
+0.0172614
+0.0152528
+0.0132277
+0.0111893
+0.00920686
+0.00727049
+0.00536572
+0.00350293
+0.00169981
+-7.34794e-05
+-0.00127419
+-0.000594598
+0.000910882
+0.00257286
+0.00421896
+0.00599996
+0.00785654
+0.00961596
+0.0114607
+0.0133714
+0.0151691
+0.0169887
+0.0177731
+0.0180646
+0.0185774
+0.0192803
+0.0199071
+0.0207279
+0.0214121
+0.0204813
+0.0196786
+0.0190235
+0.0185924
+0.0183741
+0.0183734
+0.0186213
+0.019073
+0.0197199
+0.02056
+0.0207037
+0.0187645
+0.016863
+0.0148748
+0.0129332
+0.0110832
+0.00933059
+0.00779859
+0.00607898
+0.00470165
+0.00338731
+0.00245224
+0.00130917
+0.000631852
+-0.000324635
+-0.00171144
+-0.000380557
+0.000804585
+-0.000204971
+-0.00127194
+-0.00232622
+-0.0014084
+-0.000411495
+0.000226367
+-0.00171764
+8.89176e-05
+0.00156208
+0.00239988
+0.0036043
+0.00524616
+0.00673698
+0.00829485
+0.0100492
+0.0119318
+0.0138579
+0.0157117
+0.0176428
+0.0192383
+0.0187565
+0.0169757
+0.0148848
+0.0128078
+0.0107529
+0.00875323
+0.0068057
+0.00485162
+0.00304716
+0.00130126
+-0.000105839
+-0.00142672
+-0.00190604
+9.52729e-05
+0.00213372
+0.00422522
+0.00635454
+0.00848519
+0.0105823
+0.0126749
+0.0147672
+0.0168397
+0.0185345
+0.0165114
+0.0145164
+0.0125201
+0.0105187
+0.00856531
+0.00659585
+0.00466068
+0.00286087
+0.00116155
+-0.000109105
+-0.000299442
+0.000756782
+0.00228601
+0.00390956
+0.00553199
+0.00724601
+0.00903169
+0.0108525
+0.0126572
+0.0144594
+0.0163339
+0.0181923
+0.018825
+0.019213
+0.0197778
+0.0204829
+0.0213901
+0.0222033
+0.0218036
+0.0208904
+0.0201746
+0.0196521
+0.0192367
+0.0190257
+0.0190658
+0.0193318
+0.0198138
+0.020509
+0.0213509
+0.0210596
+0.0197444
+0.0177947
+0.0159078
+0.0140908
+0.0123738
+0.0108292
+0.00917622
+0.00773767
+0.0064409
+0.00522799
+0.00398824
+0.00312651
+0.00218428
+0.00123605
+3.88926e-06
+-0.00118343
+-0.000974036
+-0.0017672
+-0.00245028
+-0.00367576
+-0.00324514
+-0.00242991
+-0.0018908
+-0.00205204
+-0.000572525
+0.00113463
+0.00305329
+0.0048403
+0.00660863
+0.00828957
+0.00981104
+0.0113796
+0.0130981
+0.0149178
+0.016826
+0.0187213
+0.0202525
+0.0194879
+0.0173891
+0.015316
+0.0132715
+0.0112541
+0.00928475
+0.00735557
+0.00535733
+0.00345464
+0.00168858
+-2.94834e-05
+-0.00142872
+-0.00266904
+-0.000568175
+0.0015474
+0.00367281
+0.00580799
+0.00790824
+0.00996929
+0.0120696
+0.0141853
+0.0162233
+0.0179
+0.0159006
+0.0138517
+0.0118536
+0.00987866
+0.00797137
+0.00605221
+0.00423198
+0.00259112
+0.00132484
+0.000465317
+0.000914839
+0.00206
+0.00353599
+0.00520636
+0.00687965
+0.00848637
+0.0102358
+0.0120504
+0.0138684
+0.0157207
+0.0174817
+0.0193264
+0.0199701
+0.0203649
+0.0209544
+0.0217285
+0.022622
+0.0232525
+0.022324
+0.0214516
+0.0207626
+0.0202792
+0.0200147
+0.0198684
+0.0199066
+0.0201452
+0.0206082
+0.0212877
+0.0214105
+0.0204467
+0.0196294
+0.0189206
+0.0171288
+0.0154389
+0.0138896
+0.0122739
+0.0108047
+0.00952305
+0.00818149
+0.00691168
+0.00577904
+0.00495409
+0.00402721
+0.00284043
+0.00104894
+-0.000808626
+-0.00218299
+-0.00301139
+-0.00383013
+-0.00486223
+-0.00464742
+-0.00428849
+-0.00407929
+-0.00337131
+-0.00169719
+0.00028361
+0.00228771
+0.00413045
+0.00619047
+0.00828862
+0.0104242
+0.0125788
+0.0144701
+0.0161614
+0.0179418
+0.0198011
+0.0212168
+0.0200033
+0.0179273
+0.015876
+0.0138603
+0.0118693
+0.00989368
+0.00791059
+0.00593699
+0.00403595
+0.00219145
+0.000291918
+-0.00140149
+-0.00299209
+-0.00113712
+0.000968767
+0.00307162
+0.0052059
+0.00733363
+0.0093151
+0.0113736
+0.0134738
+0.0155891
+0.0173455
+0.0153187
+0.0133438
+0.0113428
+0.00936828
+0.00745413
+0.00562373
+0.00398306
+0.00261913
+0.00168895
+0.00153451
+0.00213538
+0.00343518
+0.00489591
+0.0064968
+0.00819818
+0.00980924
+0.0114805
+0.0132136
+0.0150304
+0.0168727
+0.0187373
+0.0205265
+0.0211438
+0.0215967
+0.0221953
+0.0229766
+0.0238796
+0.0236274
+0.0227386
+0.0220325
+0.0214534
+0.0210064
+0.0207611
+0.0207042
+0.0208749
+0.0211453
+0.021587
+0.0221512
+0.021007
+0.0200377
+0.0191824
+0.0184875
+0.0179779
+0.0169599
+0.0153717
+0.0138854
+0.0125877
+0.0112133
+0.00994144
+0.00868301
+0.00776234
+0.00676762
+0.00516415
+0.00297411
+0.00078426
+-0.00132092
+-0.00342971
+-0.00448503
+-0.00567862
+-0.00656288
+-0.00627122
+-0.00589694
+-0.00459093
+-0.0025138
+-0.000634336
+0.000869992
+0.00263758
+0.00436918
+0.00637499
+0.00827008
+0.0102677
+0.0123311
+0.01436
+0.0164088
+0.018476
+0.0205674
+0.0218918
+0.0206184
+0.0185762
+0.0165434
+0.014536
+0.0125373
+0.0105457
+0.00860235
+0.00667072
+0.00474514
+0.00283322
+0.000823625
+-0.000929879
+-0.00272108
+-0.00174644
+0.000333231
+0.00243962
+0.00448237
+0.00658271
+0.00866545
+0.0107503
+0.012862
+0.0149866
+0.0168358
+0.0149703
+0.0129653
+0.0109824
+0.00907807
+0.00720518
+0.00546431
+0.00400007
+0.00309963
+0.00253702
+0.00266973
+0.00341166
+0.00465327
+0.00619677
+0.00780764
+0.00950494
+0.0111544
+0.0127878
+0.0144699
+0.016225
+0.0180277
+0.0198629
+0.0217291
+0.0223275
+0.0228202
+0.0234607
+0.0242642
+0.0251782
+0.0241595
+0.023291
+0.0225789
+0.0220366
+0.0216676
+0.0215165
+0.0215836
+0.0217594
+0.0221397
+0.0226646
+0.0219677
+0.0208134
+0.0198347
+0.0189701
+0.0182662
+0.0177214
+0.0171477
+0.0163164
+0.015624
+0.0142736
+0.0129806
+0.0116642
+0.010602
+0.00934626
+0.00716504
+0.00499212
+0.00283432
+0.000708589
+-0.00134216
+-0.0034467
+-0.00558472
+-0.0073859
+-0.00844852
+-0.00807836
+-0.00690354
+-0.00483982
+-0.00290693
+-0.000850151
+0.00102289
+0.00299442
+0.0047708
+0.00643554
+0.00829838
+0.0102195
+0.0121791
+0.0142063
+0.0162745
+0.0183568
+0.0204605
+0.0218431
+0.0213085
+0.0192955
+0.0172848
+0.0152782
+0.0133165
+0.0113737
+0.00943131
+0.00754729
+0.00555198
+0.00366293
+0.00181532
+6.51159e-05
+-0.00162293
+-0.00121435
+-0.000302969
+0.00174416
+0.00384123
+0.00596323
+0.00811994
+0.0102198
+0.0123354
+0.0144617
+0.0164083
+0.0145423
+0.0127624
+0.010843
+0.008981
+0.00725673
+0.00568775
+0.00442453
+0.00369968
+0.0033453
+0.00369298
+0.00454641
+0.00579661
+0.00726612
+0.00892765
+0.0107184
+0.0124332
+0.0141269
+0.0157477
+0.0174676
+0.0192299
+0.0210198
+0.0228605
+0.0234882
+0.0240817
+0.0247681
+0.0255536
+0.0257351
+0.0247283
+0.0238805
+0.0231796
+0.0226589
+0.0223417
+0.0222098
+0.0222788
+0.0225613
+0.0230494
+0.023296
+0.0220019
+0.0208495
+0.0198726
+0.0190031
+0.0182568
+0.0177113
+0.0168448
+0.0160183
+0.0153435
+0.0146543
+0.0141843
+0.0133817
+0.0112221
+0.00907746
+0.00696148
+0.00491146
+0.00280468
+0.000811735
+-0.00132266
+-0.00349764
+-0.00568108
+-0.00786855
+-0.0100574
+-0.00892103
+-0.00691388
+-0.00492505
+-0.00292939
+-0.00124296
+0.000433899
+0.00262278
+0.00471757
+0.00669616
+0.0086807
+0.0104713
+0.0123911
+0.0143885
+0.0164338
+0.0179842
+0.0190274
+0.0202547
+0.0216347
+0.0200901
+0.0181218
+0.0161843
+0.0142472
+0.0123072
+0.0103293
+0.00844112
+0.00657367
+0.00475015
+0.00304306
+0.00134949
+0.000361246
+0.000567229
+-0.00095039
+0.00118584
+0.00330439
+0.00543451
+0.00759598
+0.00969159
+0.0117822
+0.0139015
+0.0162364
+0.014348
+0.0125581
+0.0109036
+0.00913394
+0.00753369
+0.00611651
+0.00501864
+0.0044459
+0.00425638
+0.00476013
+0.00568313
+0.00693163
+0.0084462
+0.0100554
+0.0117139
+0.0134862
+0.0152138
+0.0169976
+0.0187286
+0.0204495
+0.0222382
+0.0240273
+0.0247193
+0.0252882
+0.0260292
+0.0269191
+0.0264321
+0.0254519
+0.0246231
+0.0239336
+0.023425
+0.0231106
+0.0229758
+0.0230425
+0.0233096
+0.0237633
+0.0235185
+0.0222528
+0.0211141
+0.0201405
+0.019245
+0.0185081
+0.0177183
+0.0167883
+0.0159801
+0.0152815
+0.0145894
+0.0141193
+0.013334
+0.0111933
+0.00907589
+0.00696705
+0.00491891
+0.0028085
+0.000626353
+-0.00153188
+-0.00367197
+-0.00581467
+-0.00798313
+-0.0101611
+-0.00901231
+-0.00697028
+-0.00484062
+-0.00275283
+-0.000723355
+0.00136033
+0.00303246
+0.00484373
+0.0067499
+0.00870324
+0.0107485
+0.0128418
+0.0144841
+0.0153032
+0.0163071
+0.0174508
+0.0187814
+0.0202605
+0.021012
+0.0190739
+0.0171435
+0.0151634
+0.0132473
+0.0113589
+0.00949184
+0.0077581
+0.0060663
+0.00441215
+0.00311545
+0.00245529
+0.00128078
+-0.000812799
+0.000677995
+0.00277487
+0.0048775
+0.00703043
+0.00909879
+0.0111778
+0.0132864
+0.0163586
+0.0144861
+0.0127158
+0.0110757
+0.00955673
+0.00805558
+0.00674535
+0.00580466
+0.00530228
+0.00540403
+0.00600148
+0.00692755
+0.00813082
+0.00953073
+0.011131
+0.0128281
+0.014614
+0.0163135
+0.0180507
+0.0198339
+0.02166
+0.0234427
+0.0252258
+0.0259163
+0.0266079
+0.0273219
+0.0277478
+0.0267414
+0.0258817
+0.0251837
+0.0246612
+0.0243229
+0.0240223
+0.023888
+0.0239521
+0.0242139
+0.0246509
+0.023924
+0.0226804
+0.0215687
+0.0206026
+0.0197283
+0.0190102
+0.0179343
+0.016999
+0.0162179
+0.0155298
+0.014851
+0.01438
+0.0128395
+0.0107322
+0.00866332
+0.00655918
+0.00442279
+0.00229218
+0.000189504
+-0.00187069
+-0.00391651
+-0.00602659
+-0.00816672
+-0.0103281
+-0.00939309
+-0.00732266
+-0.00518461
+-0.00311558
+-0.00109478
+0.00082189
+0.00261855
+0.00454868
+0.00649899
+0.00841255
+0.0102252
+0.0120681
+0.0126895
+0.0135771
+0.0147332
+0.0160167
+0.017457
+0.0190023
+0.0206102
+0.0200289
+0.0180994
+0.0161983
+0.0143028
+0.0124766
+0.010787
+0.00911902
+0.00748833
+0.00611557
+0.00512665
+0.00395289
+0.00190831
+-0.000137311
+8.68797e-05
+0.00215671
+0.00425574
+0.00638585
+0.00851002
+0.0105748
+0.0126793
+0.0167686
+0.0149373
+0.0132066
+0.0115805
+0.0100414
+0.00872923
+0.00768316
+0.0068032
+0.00645195
+0.00663518
+0.00724627
+0.00817023
+0.00931238
+0.0107216
+0.0122719
+0.0138596
+0.0155311
+0.0173019
+0.0191597
+0.0209423
+0.0227373
+0.0245618
+0.026291
+0.0269459
+0.0277588
+0.0286886
+0.0279251
+0.0269253
+0.0260717
+0.025379
+0.0248606
+0.024525
+0.0243469
+0.0243654
+0.0245798
+0.0249852
+0.0255721
+0.0245181
+0.0232989
+0.0222181
+0.0212813
+0.0204363
+0.0194966
+0.0184103
+0.0174472
+0.0166858
+0.0155061
+0.0145081
+0.0135578
+0.0124517
+0.010277
+0.00811094
+0.00596288
+0.00385157
+0.00178931
+-0.000286968
+-0.00236724
+-0.00448542
+-0.00661749
+-0.00867428
+-0.0107606
+-0.00998101
+-0.00794973
+-0.00597953
+-0.00397791
+-0.00212376
+-0.000294622
+0.00165545
+0.00355954
+0.00539706
+0.0071995
+0.00912349
+0.0103016
+0.0109981
+0.0120037
+0.0132972
+0.0147223
+0.01626
+0.0178402
+0.0195208
+0.0210629
+0.0191582
+0.0172897
+0.0155059
+0.0138212
+0.0121675
+0.0105647
+0.00916051
+0.00795572
+0.00669156
+0.00458969
+0.00253025
+0.000452384
+-0.000501852
+0.00160973
+0.00367399
+0.00577504
+0.00784307
+0.00990042
+0.0119988
+0.0170954
+0.015503
+0.0139276
+0.012327
+0.0108769
+0.00967738
+0.00876694
+0.00806253
+0.00767441
+0.0078417
+0.00848123
+0.00949951
+0.0105319
+0.0118297
+0.0133208
+0.0149555
+0.0166551
+0.0183175
+0.0200816
+0.0219228
+0.0238232
+0.0256714
+0.0274678
+0.0280953
+0.0288758
+0.0293773
+0.0282716
+0.0272845
+0.0264425
+0.0257597
+0.0252491
+0.0249188
+0.0247436
+0.0247617
+0.0249727
+0.0253719
+0.0259407
+0.0252819
+0.0241013
+0.0230581
+0.0221567
+0.0213026
+0.0198839
+0.0184421
+0.0169862
+0.0156539
+0.014528
+0.0135283
+0.0124504
+0.0116704
+0.0096858
+0.0076376
+0.00548319
+0.0033594
+0.00135109
+-0.00063108
+-0.00278645
+-0.004952
+-0.0071284
+-0.00929432
+-0.0112858
+-0.0107245
+-0.00884327
+-0.00695487
+-0.00507029
+-0.0031861
+-0.0011814
+0.000711793
+0.0023428
+0.00423178
+0.00623833
+0.00833268
+0.00868737
+0.00950289
+0.0106506
+0.012054
+0.0135233
+0.0150791
+0.0167772
+0.0185788
+0.0204564
+0.02031
+0.0185579
+0.0168659
+0.0152266
+0.0136412
+0.0121635
+0.0108461
+0.00938173
+0.00734861
+0.00522962
+0.00306863
+0.000936615
+-0.00111119
+0.000940718
+0.00298648
+0.00510083
+0.0072479
+0.00929322
+0.0113927
+0.017225
+0.0157281
+0.0143408
+0.0131144
+0.0119811
+0.0108426
+0.0100266
+0.00952337
+0.00917875
+0.00930743
+0.00984727
+0.0108053
+0.0119114
+0.0131467
+0.0145063
+0.0160508
+0.0177234
+0.0194816
+0.0211907
+0.022943
+0.0247653
+0.026643
+0.0285654
+0.0293503
+0.0300983
+0.029868
+0.0287782
+0.0278092
+0.0269835
+0.0263148
+0.0258152
+0.0254845
+0.0253241
+0.0253419
+0.0255481
+0.0259383
+0.0264841
+0.026207
+0.02507
+0.0240688
+0.0224638
+0.0207386
+0.019109
+0.0176016
+0.0161691
+0.0148618
+0.0136766
+0.0125014
+0.0115788
+0.0108307
+0.00926042
+0.00709218
+0.00491928
+0.00277431
+0.000753868
+-0.00125178
+-0.00343651
+-0.00559566
+-0.00758968
+-0.00966882
+-0.0117884
+-0.0117036
+-0.00973043
+-0.00777821
+-0.00599316
+-0.00403983
+-0.0023177
+-0.000605394
+0.00142163
+0.00342845
+0.00538784
+0.00695782
+0.00736224
+0.0082169
+0.00942167
+0.0109131
+0.0124258
+0.0141031
+0.0159058
+0.0177958
+0.019748
+0.021623
+0.019927
+0.0182662
+0.0165694
+0.0150011
+0.0136059
+0.0120781
+0.00995308
+0.0078238
+0.0056582
+0.00350844
+0.00139012
+-0.0007362
+0.000267983
+0.0023609
+0.00449882
+0.00665985
+0.0088253
+0.0109929
+0.0174721
+0.0160106
+0.0146954
+0.0136
+0.0127224
+0.0120527
+0.0115311
+0.011055
+0.0108511
+0.0109666
+0.0114283
+0.012254
+0.0133221
+0.0145338
+0.0158665
+0.0172899
+0.0188609
+0.0205456
+0.0222896
+0.0241023
+0.0258591
+0.0276627
+0.0295187
+0.0306925
+0.0314082
+0.0304931
+0.0294175
+0.0284702
+0.0276643
+0.0270124
+0.0265209
+0.0261967
+0.026049
+0.0260662
+0.0262668
+0.026641
+0.0271859
+0.027277
+0.0254945
+0.0235948
+0.021741
+0.0199531
+0.0182531
+0.0166681
+0.0152234
+0.0139541
+0.0126325
+0.0115126
+0.0106789
+0.00999966
+0.00886312
+0.00668101
+0.00450721
+0.00236433
+0.000278056
+-0.00187818
+-0.00406315
+-0.00607531
+-0.00814573
+-0.0102662
+-0.0124111
+-0.0125182
+-0.0106267
+-0.00887388
+-0.00701449
+-0.00514384
+-0.00305493
+-0.00111087
+0.000539056
+0.00245562
+0.00449919
+0.00576709
+0.00602038
+0.00689763
+0.00827695
+0.00985948
+0.0114145
+0.0131448
+0.0149603
+0.016853
+0.0188003
+0.020777
+0.0207727
+0.0190354
+0.0172797
+0.0155978
+0.0140287
+0.0124363
+0.010326
+0.00825782
+0.00619506
+0.00408064
+0.00200195
+-9.84399e-05
+-0.000151923
+0.00200402
+0.00417268
+0.00634805
+0.00852487
+0.0107068
+0.0179007
+0.01651
+0.0152718
+0.0142265
+0.0134323
+0.0129033
+0.0126863
+0.0127073
+0.0125712
+0.0126996
+0.0131576
+0.0138881
+0.0148443
+0.0159903
+0.0172872
+0.0187043
+0.0201639
+0.0217425
+0.0234199
+0.0251574
+0.0269553
+0.0287785
+0.0305995
+0.0321113
+0.0324139
+0.0312511
+0.0302025
+0.0292806
+0.0284976
+0.0278649
+0.0273818
+0.027068
+0.0269237
+0.0269404
+0.0271345
+0.0274982
+0.0280264
+0.0269942
+0.0250167
+0.0230776
+0.0211786
+0.0193388
+0.0175795
+0.0159276
+0.0144088
+0.0130606
+0.0118176
+0.0106329
+0.00972409
+0.00920471
+0.00862674
+0.00647566
+0.00431012
+0.00215241
+1.31613e-05
+-0.00214353
+-0.00431599
+-0.00642011
+-0.0085535
+-0.0105613
+-0.0125736
+-0.0135849
+-0.011781
+-0.00973306
+-0.00765538
+-0.00566352
+-0.00376393
+-0.00202668
+-0.000286897
+0.00179428
+0.00377018
+0.00415621
+0.00449517
+0.00554331
+0.00688986
+0.00843548
+0.0101742
+0.012039
+0.013988
+0.0159703
+0.0179938
+0.0200336
+0.0209891
+0.0191233
+0.0172954
+0.0155302
+0.0138856
+0.0123819
+0.0106939
+0.00863285
+0.00657773
+0.00451811
+0.00246819
+0.00046529
+-0.00038121
+0.00180319
+0.00398488
+0.00617012
+0.00835626
+0.0105427
+0.0184259
+0.0171224
+0.0159781
+0.0150392
+0.0143211
+0.0138668
+0.0137202
+0.0138604
+0.0142755
+0.0145505
+0.0149603
+0.0156145
+0.0165131
+0.0175544
+0.018787
+0.0201409
+0.0215941
+0.0230751
+0.0246619
+0.0263355
+0.0280742
+0.0298572
+0.0316719
+0.0334894
+0.0332721
+0.0321403
+0.0311217
+0.0302279
+0.0294701
+0.0288523
+0.0283861
+0.0280835
+0.0279432
+0.0279592
+0.0281463
+0.0284984
+0.028715
+0.0266915
+0.0246965
+0.0227376
+0.0208249
+0.0189591
+0.017161
+0.0154644
+0.0138951
+0.0124916
+0.0112347
+0.00999799
+0.0089142
+0.00817731
+0.00794735
+0.00642665
+0.00424588
+0.0020667
+-7.29337e-05
+-0.00209119
+-0.00388878
+-0.00574557
+-0.00776979
+-0.00975418
+-0.0117244
+-0.0134816
+-0.0124748
+-0.0104723
+-0.00843288
+-0.00645771
+-0.00448463
+-0.00272855
+-0.000950703
+0.00117808
+0.00228772
+0.00227264
+0.00282571
+0.00402417
+0.00557911
+0.00731
+0.00923367
+0.011216
+0.0132505
+0.015257
+0.0173038
+0.0193822
+0.02101
+0.0190912
+0.0172067
+0.0154035
+0.0137076
+0.0121112
+0.0106756
+0.00906434
+0.00699095
+0.00500799
+0.00309154
+0.00132481
+6.51409e-05
+0.00174486
+0.00390209
+0.00608327
+0.00826949
+0.0104576
+0.0190266
+0.0178193
+0.016763
+0.0159253
+0.0152653
+0.0148785
+0.0147692
+0.0149602
+0.0154116
+0.0160883
+0.0167857
+0.0173905
+0.0181914
+0.0191876
+0.0203347
+0.0216361
+0.0229858
+0.0244436
+0.0260045
+0.0276203
+0.0292881
+0.0310129
+0.0327918
+0.0345914
+0.0342438
+0.0331452
+0.0321585
+0.0312942
+0.0305629
+0.0299677
+0.029519
+0.0292281
+0.0290922
+0.0291076
+0.0292874
+0.029627
+0.0285964
+0.0265638
+0.0245585
+0.0225876
+0.020661
+0.0187924
+0.0169995
+0.0152677
+0.0136682
+0.0122432
+0.0108705
+0.00945781
+0.00831237
+0.00758784
+0.00736348
+0.00670402
+0.00462116
+0.00260508
+0.000616309
+-0.00128812
+-0.0030099
+-0.00490568
+-0.00689835
+-0.00872298
+-0.010675
+-0.0122326
+-0.0132421
+-0.0111894
+-0.00916898
+-0.00704535
+-0.00498015
+-0.00298203
+-0.00115248
+0.000983526
+0.000444498
+0.000409717
+0.00123238
+0.00286187
+0.00467093
+0.00660976
+0.00860592
+0.0105876
+0.0126321
+0.0147094
+0.0167528
+0.0188273
+0.0209174
+0.019049
+0.0171735
+0.0153655
+0.0135423
+0.0118413
+0.0103218
+0.0089813
+0.00756672
+0.00574433
+0.00393139
+0.00232389
+0.00142115
+0.00240854
+0.00426205
+0.00633094
+0.00846138
+0.0106164
+0.019799
+0.0186418
+0.0176471
+0.0168059
+0.0162184
+0.0159134
+0.0158834
+0.0160968
+0.0165615
+0.01726
+0.0181515
+0.0191874
+0.0199675
+0.0208792
+0.0219513
+0.0231627
+0.0244882
+0.0258647
+0.0273445
+0.0289147
+0.0305614
+0.0322601
+0.0339742
+0.0357404
+0.0353248
+0.0342608
+0.0333072
+0.0324735
+0.0317693
+0.0311972
+0.0307665
+0.0304875
+0.030356
+0.0303708
+0.0305431
+0.0306964
+0.0286453
+0.0266165
+0.0246154
+0.0226495
+0.0207287
+0.0188667
+0.0170817
+0.0153591
+0.0137702
+0.0122816
+0.0108287
+0.00940951
+0.00825737
+0.00752755
+0.00730525
+0.00748857
+0.00555238
+0.00353981
+0.00161595
+-0.000356516
+-0.00208069
+-0.00390461
+-0.00582372
+-0.00767778
+-0.00923785
+-0.0107035
+-0.0118896
+-0.0112939
+-0.00956835
+-0.00743386
+-0.00534505
+-0.00336436
+-0.00152344
+-4.0937e-05
+-0.00103151
+-0.000821256
+0.000269531
+0.00218112
+0.0041204
+0.00605598
+0.00811082
+0.0101228
+0.012156
+0.0142289
+0.0163325
+0.0184543
+0.0205823
+0.0190757
+0.0171338
+0.0152295
+0.0134107
+0.0116562
+0.0100155
+0.00856849
+0.00740689
+0.00584334
+0.00424694
+0.00283587
+0.00220728
+0.00320072
+0.00490626
+0.00688874
+0.00896815
+0.0110457
+0.0207458
+0.0196445
+0.0186805
+0.0178875
+0.0173367
+0.0170516
+0.017004
+0.0172242
+0.0177146
+0.0184537
+0.0193863
+0.0204468
+0.0216246
+0.0226564
+0.0236483
+0.024789
+0.0260522
+0.0273864
+0.0287891
+0.0302845
+0.0318604
+0.0335044
+0.0352
+0.0369472
+0.0365053
+0.0354768
+0.0345567
+0.033754
+0.033077
+0.0325279
+0.032115
+0.0318479
+0.0317209
+0.0317351
+0.0319
+0.0308977
+0.0288609
+0.0268484
+0.024866
+0.0229215
+0.0210256
+0.0191925
+0.0174408
+0.0157575
+0.0142133
+0.0127034
+0.0112228
+0.00986031
+0.00876761
+0.00805113
+0.0078562
+0.00815244
+0.00634411
+0.00421911
+0.00221446
+0.000558169
+-0.00103126
+-0.00287075
+-0.00466995
+-0.00633912
+-0.00772486
+-0.00935701
+-0.0100258
+-0.00938615
+-0.0084001
+-0.00729637
+-0.0053616
+-0.00326796
+-0.00135982
+4.09642e-05
+-0.00116864
+-0.00088761
+0.000526353
+0.00216692
+0.0038993
+0.0058721
+0.00783953
+0.00986957
+0.0119565
+0.0140725
+0.0162
+0.0183372
+0.0204774
+0.0190196
+0.0170318
+0.0151001
+0.0132125
+0.0114283
+0.00974998
+0.00822997
+0.00689488
+0.00579954
+0.00445497
+0.00307809
+0.00257927
+0.00344698
+0.00510222
+0.00703589
+0.00908698
+0.0111911
+0.0218644
+0.0208021
+0.019877
+0.0191336
+0.0186197
+0.0183546
+0.0183158
+0.0185204
+0.0189773
+0.019669
+0.0205719
+0.0216594
+0.0228789
+0.0241329
+0.0253468
+0.02649
+0.0276821
+0.0289686
+0.0303232
+0.0317465
+0.0332532
+0.0348315
+0.0364654
+0.0381547
+0.0377762
+0.0367832
+0.0358966
+0.0351245
+0.0344745
+0.0339479
+0.0335526
+0.0332969
+0.0331745
+0.033188
+0.0332863
+0.0312516
+0.0292395
+0.0272549
+0.0253044
+0.0233964
+0.0215423
+0.0197572
+0.0180604
+0.0164407
+0.0148561
+0.01329
+0.0119152
+0.0107337
+0.009739
+0.00906829
+0.00889812
+0.00896899
+0.00695368
+0.00506282
+0.00327082
+0.00149171
+-9.21761e-05
+-0.00176203
+-0.00337692
+-0.0048967
+-0.00645235
+-0.00807284
+-0.00828732
+-0.00747381
+-0.00657158
+-0.00569569
+-0.00429883
+-0.00241249
+-0.000746418
+0.000783972
+-0.000415503
+-0.000142752
+0.00122594
+0.00262011
+0.00424547
+0.006095
+0.00803883
+0.0100419
+0.0120991
+0.0141963
+0.0163181
+0.018456
+0.020605
+0.0190454
+0.0170472
+0.0150414
+0.013095
+0.0112389
+0.00950864
+0.00782344
+0.00628785
+0.00510671
+0.00424396
+0.00331362
+0.00307398
+0.00399696
+0.00558592
+0.00748515
+0.00951056
+0.0115962
+0.023125
+0.0221011
+0.0212326
+0.0205384
+0.0200605
+0.0198147
+0.0197788
+0.0199684
+0.0203929
+0.0210381
+0.0218845
+0.0229099
+0.0240913
+0.025407
+0.0267136
+0.0280397
+0.0293835
+0.03059
+0.0318952
+0.0332823
+0.0347284
+0.0362425
+0.0378155
+0.039447
+0.0391284
+0.0381707
+0.0373171
+0.0365749
+0.0359512
+0.0354466
+0.0350681
+0.0348236
+0.0347055
+0.0347184
+0.0337575
+0.0317531
+0.0297749
+0.0278285
+0.0259212
+0.0240622
+0.0222636
+0.0205412
+0.0187578
+0.0169868
+0.0153148
+0.013752
+0.0123806
+0.0112711
+0.0104237
+0.00988409
+0.00971363
+0.00985505
+0.00807151
+0.0061756
+0.00421858
+0.00242628
+0.000926936
+-0.00031262
+-0.00193206
+-0.00347271
+-0.00508927
+-0.0064839
+-0.00632882
+-0.00554175
+-0.00463995
+-0.00384291
+-0.00312146
+-0.00131952
+0.000504298
+0.00122119
+0.000347757
+0.000730351
+0.00186161
+0.00316638
+0.0046674
+0.00644344
+0.0083626
+0.0103803
+0.0124565
+0.0145663
+0.016672
+0.0187802
+0.0209054
+0.0191292
+0.017074
+0.0150571
+0.013081
+0.0111631
+0.00926568
+0.00748909
+0.00585571
+0.00443756
+0.00332605
+0.00263909
+0.00279445
+0.00395552
+0.00546856
+0.0071217
+0.00889238
+0.0107956
+0.0244969
+0.0235327
+0.022719
+0.0220716
+0.0216276
+0.0213998
+0.0213665
+0.0215422
+0.0219362
+0.0225373
+0.0233294
+0.0242939
+0.025411
+0.0266617
+0.0280214
+0.0293899
+0.0307985
+0.0322107
+0.0335183
+0.0348475
+0.0362507
+0.0377175
+0.0392415
+0.0408161
+0.040554
+0.0396307
+0.0388093
+0.0380962
+0.0374977
+0.0370142
+0.036652
+0.0364181
+0.0363042
+0.0363166
+0.0343622
+0.0323952
+0.0304587
+0.028559
+0.0267039
+0.0248691
+0.0229649
+0.0210934
+0.0192748
+0.0175415
+0.0159204
+0.0144235
+0.0131224
+0.0120812
+0.0113186
+0.0108618
+0.0106865
+0.0109054
+0.00902582
+0.00717818
+0.0054268
+0.00370153
+0.00217411
+0.0010828
+-0.000475819
+-0.0020738
+-0.00365378
+-0.00452373
+-0.00426147
+-0.00353035
+-0.00273471
+-0.00213761
+-0.00184875
+-0.00011183
+0.00162022
+0.00188505
+0.00124281
+0.0014456
+0.00249343
+0.00382229
+0.00531133
+0.0070682
+0.00900662
+0.0109196
+0.0129095
+0.0149556
+0.0170131
+0.0190837
+0.0211785
+0.0191294
+0.017056
+0.0149994
+0.0129794
+0.0110247
+0.00910272
+0.00726588
+0.00555904
+0.0039988
+0.00264186
+0.00208671
+0.00241872
+0.00322271
+0.0045465
+0.00625359
+0.0081831
+0.0101996
+0.0259813
+0.0250737
+0.0243106
+0.0237066
+0.0232939
+0.0230825
+0.0230533
+0.0232162
+0.0235823
+0.0241425
+0.0248835
+0.0257899
+0.0268449
+0.0280316
+0.0293279
+0.0307102
+0.0321183
+0.033582
+0.0350575
+0.0364708
+0.0378219
+0.0392391
+0.0407161
+0.0422543
+0.0420455
+0.0411557
+0.0403652
+0.0396801
+0.0391059
+0.0386425
+0.0382957
+0.0380719
+0.0378786
+0.0366306
+0.0350935
+0.0331699
+0.0312814
+0.0293224
+0.0273774
+0.0254723
+0.0235894
+0.0217589
+0.0200009
+0.0183363
+0.0167782
+0.0153645
+0.0141502
+0.0131904
+0.0124964
+0.0120479
+0.0119221
+0.0119996
+0.0101982
+0.00845288
+0.00670248
+0.00505193
+0.00353668
+0.00228489
+0.00065327
+-0.000786842
+-0.00235393
+-0.00283399
+-0.00217284
+-0.00153686
+-0.000977792
+-0.000905321
+-0.000422522
+0.00114042
+0.00294763
+0.00269017
+0.00236787
+0.00266623
+0.00337766
+0.00442693
+0.00592321
+0.00766291
+0.00952958
+0.0114822
+0.013508
+0.0155718
+0.0176067
+0.0196285
+0.0213053
+0.0191963
+0.0171078
+0.0150485
+0.013032
+0.0110622
+0.00916777
+0.00740931
+0.00576287
+0.00412769
+0.00261315
+0.0017197
+0.00200808
+0.00265387
+0.00405416
+0.00578043
+0.00773794
+0.0097947
+0.0275538
+0.0266991
+0.0259679
+0.0254034
+0.0250186
+0.0248219
+0.0248178
+0.0249703
+0.0253111
+0.0258338
+0.0265276
+0.0273796
+0.0283756
+0.0295008
+0.0307352
+0.0320568
+0.0334698
+0.0349084
+0.0363927
+0.0379326
+0.0394444
+0.0408147
+0.0422434
+0.0437287
+0.043596
+0.0427385
+0.0419779
+0.0413195
+0.0407684
+0.0403242
+0.0396289
+0.0382012
+0.0368484
+0.0355642
+0.0343719
+0.0332812
+0.031932
+0.0299962
+0.0280961
+0.0262142
+0.0243839
+0.0226178
+0.0209259
+0.0193199
+0.0178388
+0.0165162
+0.015393
+0.0145156
+0.0138652
+0.0134788
+0.0133664
+0.0130812
+0.0114758
+0.00973763
+0.00806675
+0.00646618
+0.0050008
+0.00367005
+0.00221073
+0.000615049
+-0.000641076
+-0.00119399
+-0.000162322
+0.000225123
+3.34634e-07
+0.000340314
+0.00130014
+0.00266419
+0.00422006
+0.00339855
+0.00328096
+0.00387967
+0.00439574
+0.00539326
+0.00672969
+0.00838649
+0.0102058
+0.0121202
+0.0141117
+0.0161365
+0.0181716
+0.0202393
+0.0215019
+0.0194143
+0.0173521
+0.0153256
+0.013347
+0.0114196
+0.00947685
+0.00765963
+0.00599351
+0.00441631
+0.00272914
+0.00165353
+0.00187659
+0.00250024
+0.00395409
+0.00580591
+0.00779185
+0.00978896
+0.0292061
+0.0283871
+0.0276989
+0.0271704
+0.026811
+0.0266276
+0.0266237
+0.0267808
+0.0270988
+0.0275876
+0.0282384
+0.0290403
+0.0299811
+0.0310482
+0.0322291
+0.0334928
+0.0348476
+0.0362842
+0.0377467
+0.0392467
+0.0408067
+0.0423805
+0.0438222
+0.0452603
+0.0451943
+0.0443676
+0.0436354
+0.0430025
+0.0418651
+0.0402786
+0.0387511
+0.0372897
+0.0359026
+0.0345988
+0.0333772
+0.0322529
+0.0309739
+0.0295997
+0.0283285
+0.0270793
+0.0253119
+0.0236155
+0.0220047
+0.0204835
+0.0190929
+0.0178604
+0.0168032
+0.0159781
+0.0154104
+0.0150842
+0.0149083
+0.0144071
+0.0127735
+0.0111187
+0.00949932
+0.00793457
+0.00648436
+0.00512595
+0.0037041
+0.00236287
+0.00127828
+0.000934518
+0.00146075
+0.0013991
+0.0015871
+0.00220927
+0.00320836
+0.00432853
+0.00511217
+0.00445419
+0.00440795
+0.00516067
+0.00565737
+0.00657223
+0.00786002
+0.00935161
+0.011017
+0.0128258
+0.0147221
+0.0166906
+0.018708
+0.0207462
+0.0219108
+0.0198555
+0.0178325
+0.0157949
+0.0137998
+0.011844
+0.00991804
+0.00809457
+0.00638409
+0.00478615
+0.0031916
+0.00189881
+0.00163702
+0.00231753
+0.00389252
+0.00587628
+0.00784215
+0.00977916
+0.0309252
+0.0301384
+0.0294911
+0.0289953
+0.0286588
+0.0284872
+0.0284837
+0.0286332
+0.0289309
+0.0293892
+0.030001
+0.0307569
+0.0316467
+0.0326595
+0.0337841
+0.035007
+0.0363053
+0.0376864
+0.0391414
+0.0406229
+0.0421352
+0.0437019
+0.0453203
+0.0468415
+0.0468324
+0.0460352
+0.044525
+0.0428152
+0.041151
+0.0395368
+0.0379795
+0.0364872
+0.0350684
+0.0337323
+0.0324891
+0.0313441
+0.0299336
+0.0285094
+0.0271872
+0.0259827
+0.024913
+0.023996
+0.0231956
+0.0217584
+0.0204547
+0.0193025
+0.0183287
+0.0175754
+0.0170591
+0.0167327
+0.0165528
+0.0157852
+0.0141726
+0.0125277
+0.010949
+0.00945189
+0.0079989
+0.00677342
+0.00540002
+0.00421967
+0.00334917
+0.00311726
+0.00319489
+0.00330428
+0.00357684
+0.00415018
+0.00506116
+0.0061571
+0.0060611
+0.00548314
+0.00555789
+0.00623452
+0.00697221
+0.00788308
+0.00914996
+0.010535
+0.0120386
+0.0137078
+0.0154965
+0.0173776
+0.019324
+0.0213141
+0.0224585
+0.0204094
+0.0183826
+0.0163749
+0.0143812
+0.0124492
+0.0105906
+0.008842
+0.00703118
+0.00516081
+0.00338221
+0.00188744
+0.00138282
+0.00188173
+0.00358021
+0.00557236
+0.00744108
+0.00944852
+0.0326896
+0.031944
+0.031334
+0.0308678
+0.0305519
+0.0303911
+0.0303877
+0.0305304
+0.0308098
+0.0312406
+0.0318167
+0.0325305
+0.0333731
+0.0343349
+0.0354064
+0.0365778
+0.0378338
+0.039161
+0.0405631
+0.0420327
+0.0435296
+0.0450516
+0.0466232
+0.0482432
+0.0475382
+0.0457313
+0.0439593
+0.0422266
+0.0405383
+0.0389002
+0.0373187
+0.0358002
+0.034353
+0.0329879
+0.0317155
+0.0305474
+0.0290217
+0.0275503
+0.0261798
+0.0249266
+0.0238095
+0.0228481
+0.0220243
+0.0213908
+0.0209681
+0.0207691
+0.0199784
+0.0192896
+0.0188147
+0.0184748
+0.0183022
+0.0172423
+0.0155765
+0.0139929
+0.012483
+0.0109773
+0.0096125
+0.00809287
+0.00667709
+0.00575988
+0.00547925
+0.00529479
+0.00519514
+0.00537547
+0.00563732
+0.00618064
+0.00702224
+0.00786719
+0.00690251
+0.00648311
+0.00659327
+0.00726408
+0.00824236
+0.00917304
+0.0103022
+0.0116308
+0.0131062
+0.0147602
+0.016514
+0.0182908
+0.0201493
+0.0220688
+0.0230703
+0.0210274
+0.0190174
+0.017052
+0.0151453
+0.0132971
+0.0115385
+0.00956945
+0.00764289
+0.00560082
+0.00364394
+0.00191562
+0.00100068
+0.00130007
+0.00308044
+0.00507837
+0.00707492
+0.00915958
+0.0345008
+0.0337951
+0.0332191
+0.0327798
+0.0324825
+0.0323312
+0.0323281
+0.0324646
+0.0327275
+0.0331334
+0.0336772
+0.0343523
+0.0351512
+0.0360657
+0.0370871
+0.038207
+0.039417
+0.0407002
+0.042051
+0.0434703
+0.0449517
+0.046461
+0.0479907
+0.0489648
+0.0471108
+0.0452868
+0.0434968
+0.0417449
+0.0400363
+0.0383767
+0.0367727
+0.0352306
+0.033759
+0.0323689
+0.0310712
+0.0298485
+0.0282506
+0.0267368
+0.0253222
+0.0240243
+0.0228623
+0.0218581
+0.0209965
+0.020331
+0.0198858
+0.0196758
+0.019704
+0.0198425
+0.0191099
+0.0185881
+0.0183051
+0.0182374
+0.0170527
+0.0155191
+0.0139909
+0.0125038
+0.0108179
+0.00930919
+0.0081086
+0.0073476
+0.0071442
+0.0073011
+0.00728546
+0.00749578
+0.00776824
+0.00826411
+0.00898488
+0.00848548
+0.00764472
+0.00734863
+0.00763624
+0.0083944
+0.0092652
+0.0104527
+0.0115087
+0.0127984
+0.0142923
+0.0158641
+0.0175178
+0.0192668
+0.0210983
+0.0229841
+0.0237526
+0.0217738
+0.0198335
+0.0179333
+0.016107
+0.0142107
+0.0121829
+0.0100667
+0.00799073
+0.00594672
+0.00390749
+0.00194173
+0.000751143
+0.000868489
+0.00264503
+0.00474732
+0.00686203
+0.0089977
+0.0363538
+0.0356847
+0.0351398
+0.0347247
+0.0344442
+0.0343016
+0.0342986
+0.0344296
+0.0346775
+0.0350609
+0.0355752
+0.036215
+0.0369737
+0.0378441
+0.0388188
+0.0398901
+0.0410505
+0.0422926
+0.0435982
+0.0449687
+0.0464023
+0.0478931
+0.0494128
+0.0486487
+0.0467821
+0.0449449
+0.0431406
+0.0413737
+0.0396491
+0.0379725
+0.0363507
+0.03479
+0.0332989
+0.0318887
+0.0305706
+0.0292342
+0.0276001
+0.0260479
+0.024593
+0.0232538
+0.0220513
+0.0210091
+0.0201316
+0.0194364
+0.0189701
+0.0187498
+0.0187732
+0.018997
+0.018234
+0.0176932
+0.0173952
+0.0173174
+0.0175154
+0.0170346
+0.0153516
+0.0136658
+0.0121423
+0.0108232
+0.00980965
+0.00918676
+0.00902272
+0.0093509
+0.00936642
+0.0096476
+0.00990934
+0.0103609
+0.00974537
+0.00878316
+0.00828382
+0.00824216
+0.00862144
+0.00933942
+0.0104747
+0.0114446
+0.0126406
+0.0139018
+0.015333
+0.0169254
+0.0186068
+0.020362
+0.0221031
+0.0239181
+0.0246037
+0.02268
+0.0208091
+0.0189493
+0.0168191
+0.0147066
+0.0125874
+0.0104214
+0.00826854
+0.00614243
+0.00407251
+0.00219414
+0.00102655
+0.00147474
+0.00315326
+0.00513473
+0.0072177
+0.0092981
+0.0382424
+0.037607
+0.0370903
+0.0366973
+0.036432
+0.0362972
+0.0362944
+0.0364203
+0.0366548
+0.0370176
+0.0375052
+0.0381125
+0.0388342
+0.0396638
+0.0405949
+0.0416205
+0.0427339
+0.0439284
+0.0451976
+0.0465221
+0.0479091
+0.0493545
+0.0503305
+0.0484297
+0.0465544
+0.0447078
+0.0428935
+0.041116
+0.0393801
+0.0376916
+0.0360572
+0.0344831
+0.0329782
+0.0315537
+0.030221
+0.0287717
+0.0271098
+0.0255278
+0.0240415
+0.0226697
+0.0214344
+0.0203606
+0.0194539
+0.0187336
+0.0182493
+0.0180202
+0.0180446
+0.0182932
+0.0175534
+0.016973
+0.0166625
+0.0165917
+0.0167983
+0.0172823
+0.0166036
+0.0150586
+0.013691
+0.0125359
+0.011672
+0.0111536
+0.0110167
+0.011287
+0.011488
+0.011797
+0.0113845
+0.0098007
+0.00841275
+0.00734504
+0.00674393
+0.00671639
+0.00734706
+0.00840417
+0.0096275
+0.0110855
+0.0127548
+0.014521
+0.0163698
+0.0179676
+0.0195926
+0.0212984
+0.0230757
+0.0249188
+0.025585
+0.0236611
+0.0215423
+0.0193866
+0.0172398
+0.0151056
+0.0129893
+0.0108916
+0.00883866
+0.00687135
+0.00506469
+0.00364571
+0.00295927
+0.00323894
+0.00439619
+0.00605394
+0.0079164
+0.00991311
+0.0401618
+0.0395572
+0.0390663
+0.0386934
+0.0384419
+0.0383142
+0.0383115
+0.0384326
+0.0386551
+0.0389993
+0.0394624
+0.0400401
+0.0407276
+0.0415194
+0.0424097
+0.0433924
+0.0444615
+0.0456108
+0.0468344
+0.048125
+0.0494671
+0.0508682
+0.0502146
+0.0483092
+0.046429
+0.0445772
+0.0427574
+0.0409739
+0.0392318
+0.0375366
+0.0358951
+0.0343136
+0.0328009
+0.0313684
+0.0300274
+0.0284708
+0.0267902
+0.0251881
+0.0236805
+0.0222865
+0.0210287
+0.0199331
+0.0190059
+0.018268
+0.0177711
+0.0175357
+0.0175607
+0.017816
+0.01711
+0.016514
+0.0161947
+0.0161219
+0.0163344
+0.0168317
+0.0175897
+0.0166243
+0.0153964
+0.0143789
+0.0136324
+0.0131844
+0.0130488
+0.0132778
+0.0136315
+0.0120014
+0.0101496
+0.00843448
+0.00687329
+0.00563026
+0.00498899
+0.00510155
+0.00599036
+0.00734555
+0.00868959
+0.0102753
+0.0120028
+0.0138431
+0.0157527
+0.0177257
+0.0197447
+0.0217969
+0.0238737
+0.025812
+0.026253
+0.0241205
+0.0219993
+0.0198876
+0.0177938
+0.0157264
+0.0136974
+0.0117267
+0.00984812
+0.008096
+0.00661043
+0.00552424
+0.00505706
+0.00528435
+0.00613276
+0.00742709
+0.00906413
+0.0108706
+0.0421077
+0.0415314
+0.0410641
+0.0407095
+0.0404705
+0.0403492
+0.0403467
+0.0404627
+0.040675
+0.0410023
+0.0414429
+0.0419934
+0.0426494
+0.0434062
+0.0442586
+0.0452011
+0.0462284
+0.0473348
+0.0485149
+0.0497636
+0.0510716
+0.0521226
+0.050194
+0.0482879
+0.0464068
+0.0445541
+0.0427333
+0.0409488
+0.0392055
+0.0375091
+0.0358664
+0.0342836
+0.0327695
+0.0313355
+0.0299931
+0.0283365
+0.0266474
+0.0250362
+0.0235188
+0.0221146
+0.0208465
+0.0197407
+0.0188042
+0.0180579
+0.0175551
+0.0173168
+0.0173421
+0.0176006
+0.0169405
+0.0163383
+0.0160156
+0.0159419
+0.0161567
+0.0166594
+0.0174249
+0.0183186
+0.017212
+0.0163082
+0.015654
+0.0152379
+0.0151204
+0.0153184
+0.0132425
+0.0111923
+0.00920688
+0.00733925
+0.00558004
+0.00410774
+0.00322031
+0.00342169
+0.00456223
+0.00613531
+0.00787384
+0.00973364
+0.0115207
+0.0134134
+0.0153766
+0.0173851
+0.0194323
+0.0215078
+0.0236041
+0.025226
+0.0264412
+0.0247102
+0.0226384
+0.0205913
+0.018577
+0.0166074
+0.0147005
+0.0128717
+0.011164
+0.0096535
+0.00841747
+0.00756874
+0.00720447
+0.00737457
+0.00802941
+0.00912121
+0.0104973
+0.0121156
+0.0440765
+0.0435264
+0.0430807
+0.0427428
+0.0425152
+0.0423998
+0.0423974
+0.042508
+0.0427117
+0.0430235
+0.0434437
+0.0439691
+0.0445961
+0.0453204
+0.0461374
+0.0470423
+0.0480302
+0.049096
+0.0502348
+0.0514417
+0.0527121
+0.0521928
+0.0502657
+0.048361
+0.0464815
+0.0446305
+0.0428115
+0.0410288
+0.0392874
+0.0375931
+0.0359524
+0.0343731
+0.032864
+0.0314353
+0.0300983
+0.0283712
+0.0266843
+0.0250755
+0.0235606
+0.0221591
+0.0208905
+0.0197813
+0.0188421
+0.0180974
+0.0175957
+0.0173579
+0.0173633
+0.0176215
+0.0170356
+0.016455
+0.016115
+0.0160309
+0.0162446
+0.0167446
+0.0175064
+0.0184977
+0.0191064
+0.0182964
+0.0177006
+0.0173247
+0.0171048
+0.0149583
+0.0128268
+0.0107192
+0.00863819
+0.00660687
+0.00467722
+0.00296137
+0.00175578
+0.00207916
+0.00358665
+0.00538476
+0.00728873
+0.00927843
+0.0112843
+0.0132084
+0.0152048
+0.0172484
+0.0193243
+0.0214189
+0.0235227
+0.0248202
+0.0260543
+0.0254692
+0.0234645
+0.0214962
+0.0195752
+0.0177145
+0.0159237
+0.0142451
+0.0127232
+0.0114181
+0.0103547
+0.00967517
+0.00937193
+0.00950631
+0.0100464
+0.010963
+0.0121584
+0.0135802
+0.0460654
+0.0455393
+0.0451135
+0.0447909
+0.0445739
+0.0444638
+0.0444615
+0.044567
+0.044763
+0.0450606
+0.0454619
+0.0459643
+0.0465644
+0.0472585
+0.0480426
+0.0489123
+0.0498632
+0.0508906
+0.0519901
+0.0531572
+0.0542808
+0.0523389
+0.0504174
+0.0485187
+0.0466455
+0.0448012
+0.0429895
+0.0412145
+0.0394813
+0.0377957
+0.0361642
+0.0345946
+0.0330956
+0.0316773
+0.0302898
+0.0285489
+0.0268738
+0.0252777
+0.0237727
+0.0223793
+0.0211216
+0.0200252
+0.019098
+0.0183637
+0.0178694
+0.0176354
+0.0176407
+0.0178949
+0.0173699
+0.0167907
+0.0164699
+0.0163877
+0.0165968
+0.0170865
+0.0178337
+0.0188078
+0.0199755
+0.0203097
+0.0197702
+0.019224
+0.0170629
+0.0149105
+0.012771
+0.0106524
+0.00855512
+0.00649584
+0.00450513
+0.00272466
+0.00154315
+0.00195073
+0.00350858
+0.00538161
+0.00731815
+0.00930154
+0.0113613
+0.0133642
+0.0153403
+0.017368
+0.0194311
+0.0215153
+0.0234977
+0.0246035
+0.0258479
+0.0263886
+0.0244595
+0.0225781
+0.0207481
+0.0189907
+0.0173322
+0.0158039
+0.0144471
+0.0132798
+0.0123768
+0.0117978
+0.0115482
+0.0116599
+0.0121238
+0.0128935
+0.0139663
+0.0152201
+0.0480718
+0.0475679
+0.0471605
+0.046852
+0.0466445
+0.0465393
+0.0465371
+0.0466379
+0.0468269
+0.0471115
+0.0474955
+0.0479766
+0.0485518
+0.0492179
+0.0499713
+0.050808
+0.051724
+0.0527152
+0.0537774
+0.0549065
+0.0545094
+0.052576
+0.0506634
+0.0487743
+0.0469114
+0.045078
+0.0432778
+0.0415152
+0.0397951
+0.0381233
+0.0365065
+0.0349522
+0.0334692
+0.0320674
+0.0306069
+0.028885
+0.0272306
+0.0256568
+0.0241754
+0.0228066
+0.0215738
+0.0205016
+0.0195969
+0.0188821
+0.0184017
+0.0181745
+0.0181797
+0.0184264
+0.0179195
+0.0173561
+0.0170526
+0.0170212
+0.0172226
+0.017695
+0.0184176
+0.0193623
+0.0204985
+0.021767
+0.0215797
+0.0194283
+0.0172859
+0.0151573
+0.0130492
+0.0109737
+0.00892937
+0.00696976
+0.00515849
+0.00371422
+0.00290842
+0.00321195
+0.00438609
+0.00601083
+0.0078941
+0.00979219
+0.0117881
+0.0138081
+0.0157432
+0.0177378
+0.019774
+0.0218322
+0.0234739
+0.0245808
+0.0258263
+0.0271852
+0.0256007
+0.0237984
+0.0220664
+0.0204227
+0.0188904
+0.0174987
+0.016269
+0.0152288
+0.0144482
+0.0139396
+0.013729
+0.0138252
+0.0142337
+0.0148963
+0.0158352
+0.0169848
+0.0500937
+0.0496103
+0.0492198
+0.0489243
+0.0487256
+0.0486249
+0.0486228
+0.0487193
+0.0489018
+0.0491744
+0.0495424
+0.0500038
+0.050556
+0.051196
+0.0519207
+0.0527265
+0.0536097
+0.0545666
+0.0555935
+0.0566864
+0.0548247
+0.0529028
+0.0510025
+0.0491264
+0.0472773
+0.0454587
+0.0436742
+0.0419283
+0.0402258
+0.0385727
+0.0369756
+0.0354419
+0.0339803
+0.0326005
+0.0310755
+0.0293811
+0.0277563
+0.026214
+0.024766
+0.0234317
+0.0222336
+0.0211948
+0.0203211
+0.0196326
+0.019171
+0.018953
+0.018958
+0.0191948
+0.0187087
+0.0181697
+0.0178801
+0.0178565
+0.0180937
+0.0185439
+0.0192346
+0.020141
+0.0212356
+0.0224625
+0.0219459
+0.0198335
+0.0177401
+0.0156733
+0.0136453
+0.0116761
+0.00977978
+0.00800261
+0.00647651
+0.00534079
+0.00480202
+0.00498755
+0.00587315
+0.0072133
+0.00884412
+0.0106609
+0.0125191
+0.0143831
+0.0162941
+0.0182286
+0.0202154
+0.0222405
+0.023654
+0.0247528
+0.0259901
+0.0273335
+0.0268595
+0.0251475
+0.0235151
+0.0219801
+0.0205641
+0.0192922
+0.0181615
+0.0172359
+0.0165502
+0.0160946
+0.0159125
+0.0159974
+0.0163534
+0.0169456
+0.0177766
+0.0188271
+0.0521292
+0.0516649
+0.05129
+0.0510065
+0.050816
+0.0507194
+0.0507174
+0.0508099
+0.0509865
+0.0512479
+0.0516012
+0.0520443
+0.0525751
+0.0531908
+0.0538887
+0.0546654
+0.0555178
+0.0564424
+0.0574357
+0.057153
+0.0552252
+0.0533176
+0.0514327
+0.0495729
+0.0477411
+0.0459408
+0.0441758
+0.0424505
+0.0407699
+0.0391398
+0.0375668
+0.0360582
+0.0346227
+0.0332695
+0.031689
+0.0300292
+0.0284415
+0.0269384
+0.0255315
+0.0242394
+0.0230833
+0.0220669
+0.0212091
+0.0205499
+0.020109
+0.0199009
+0.0199078
+0.0201335
+0.0197109
+0.0192001
+0.0189262
+0.0189039
+0.019134
+0.0195638
+0.0202197
+0.0210838
+0.0221309
+0.0233333
+0.0225196
+0.0204665
+0.0184451
+0.016467
+0.01455
+0.0127128
+0.0109693
+0.00941438
+0.00815683
+0.00725561
+0.00684604
+0.00698307
+0.00763959
+0.00872061
+0.010112
+0.0117471
+0.0134777
+0.0152021
+0.0170334
+0.0189412
+0.0208784
+0.0228449
+0.0240331
+0.0251154
+0.0263233
+0.0276304
+0.0282324
+0.0266089
+0.0250719
+0.0236381
+0.0223276
+0.0211415
+0.0201147
+0.0192831
+0.0186725
+0.0182581
+0.0180978
+0.018174
+0.0184881
+0.0190264
+0.0197702
+0.0207198
+0.0541768
+0.0537302
+0.0533698
+0.0530974
+0.0529144
+0.0528217
+0.0528198
+0.0529086
+0.0530796
+0.0533308
+0.0536704
+0.0540966
+0.0546074
+0.0552005
+0.0558732
+0.0566228
+0.0574461
+0.0583402
+0.0593017
+0.0576206
+0.0557089
+0.0538185
+0.0519518
+0.0501112
+0.0482999
+0.0465213
+0.0447791
+0.043078
+0.0414228
+0.0398195
+0.0382744
+0.0367949
+0.0353892
+0.0340665
+0.0324369
+0.0308175
+0.0292725
+0.0278144
+0.0264568
+0.0252121
+0.0240821
+0.0230917
+0.0222734
+0.0216467
+0.0212286
+0.0210315
+0.0210383
+0.021252
+0.0208736
+0.0203879
+0.0201302
+0.0201092
+0.0203257
+0.0207568
+0.0213761
+0.0221952
+0.0231922
+0.0243423
+0.023286
+0.0213069
+0.0193734
+0.0175005
+0.0156945
+0.0139795
+0.012415
+0.0110651
+0.0100055
+0.00926836
+0.0089532
+0.0090322
+0.00952377
+0.0104485
+0.0116407
+0.0130861
+0.0146595
+0.0162655
+0.0179889
+0.0198048
+0.0216901
+0.0236281
+0.0245722
+0.0256316
+0.026811
+0.0280954
+0.0294869
+0.028165
+0.0267176
+0.025377
+0.0241512
+0.0230504
+0.0221124
+0.0213587
+0.0208015
+0.0204274
+0.0202842
+0.0203537
+0.0206346
+0.0211295
+0.0218016
+0.0226663
+0.0562352
+0.0558051
+0.0554582
+0.0551961
+0.0550201
+0.0549309
+0.0549291
+0.0550145
+0.0551804
+0.0554221
+0.0557489
+0.0561593
+0.0566515
+0.0572234
+0.0578726
+0.0585966
+0.0593926
+0.0602578
+0.0600791
+0.058167
+0.0562739
+0.0544031
+0.0525571
+0.0507386
+0.0489505
+0.0471963
+0.0454801
+0.0438061
+0.0421796
+0.0406061
+0.0390921
+0.0376447
+0.036272
+0.034929
+0.0332866
+0.0317107
+0.0302114
+0.0288009
+0.0274927
+0.0263022
+0.0252156
+0.0242715
+0.0234943
+0.022901
+0.0225062
+0.0223205
+0.0223272
+0.0225286
+0.022171
+0.0217144
+0.0214726
+0.0214529
+0.021656
+0.0220757
+0.0226842
+0.0234577
+0.0244039
+0.0255
+0.0242269
+0.0223313
+0.0204935
+0.0187067
+0.0170132
+0.0154453
+0.0140451
+0.0128674
+0.0119567
+0.0113391
+0.0110234
+0.0110751
+0.0114978
+0.0122747
+0.0133551
+0.0146321
+0.0160349
+0.0175333
+0.0191429
+0.0208586
+0.0226564
+0.0244055
+0.0252827
+0.0263135
+0.0274653
+0.0287205
+0.030083
+0.029801
+0.028437
+0.0271805
+0.0260238
+0.0250056
+0.0241436
+0.0234553
+0.0229395
+0.0226008
+0.0224715
+0.0225355
+0.0227895
+0.0232474
+0.0238612
+0.0246538
+0.0583033
+0.0578885
+0.0575542
+0.0573017
+0.0571321
+0.0570463
+0.0570445
+0.0571268
+0.0572878
+0.0575207
+0.0578356
+0.0582313
+0.0587062
+0.0592583
+0.0598854
+0.0605854
+0.0613556
+0.0621935
+0.0606825
+0.05879
+0.0569176
+0.0550687
+0.0532458
+0.0514516
+0.0496891
+0.047962
+0.0462742
+0.04463
+0.0430346
+0.0414936
+0.0400132
+0.0386004
+0.0372629
+0.0358536
+0.0342556
+0.0327263
+0.0312758
+0.0299155
+0.0286582
+0.0275182
+0.0264821
+0.0255848
+0.0248487
+0.0242885
+0.0239167
+0.0237419
+0.0237485
+0.023938
+0.0236009
+0.0231724
+0.022946
+0.0229276
+0.0231177
+0.0235113
+0.0240983
+0.0248472
+0.0257424
+0.0267871
+0.0253229
+0.0235041
+0.021743
+0.0200666
+0.0184981
+0.0170672
+0.0158112
+0.014775
+0.013979
+0.0133987
+0.0131222
+0.0131656
+0.0135255
+0.0141907
+0.0151463
+0.0162774
+0.0175469
+0.018955
+0.0204671
+0.0220801
+0.0237857
+0.0253111
+0.026158
+0.0271556
+0.0282746
+0.0294954
+0.0308237
+0.0315045
+0.0302175
+0.0290233
+0.0279427
+0.0269969
+0.0262006
+0.0255677
+0.0250866
+0.0247772
+0.0246594
+0.0247188
+0.0249507
+0.0253703
+0.0259423
+0.0266731
+0.06038
+0.0599796
+0.0596569
+0.0594134
+0.0592499
+0.0591671
+0.0591654
+0.0592447
+0.0594013
+0.0596259
+0.0599298
+0.0603118
+0.0607704
+0.0613039
+0.0619103
+0.0625876
+0.0633335
+0.0632438
+0.0613582
+0.0594871
+0.0576374
+0.0558124
+0.0540146
+0.0522468
+0.0505121
+0.0488141
+0.0471568
+0.0455445
+0.0439823
+0.0424756
+0.0410307
+0.0396541
+0.0383526
+0.0368853
+0.035334
+0.0338534
+0.0324533
+0.0311445
+0.0299389
+0.0288495
+0.0278635
+0.0270121
+0.026316
+0.0257877
+0.0254378
+0.0252736
+0.02528
+0.0254581
+0.0251405
+0.0247387
+0.0245267
+0.0245095
+0.0246875
+0.0250564
+0.0256081
+0.026331
+0.027189
+0.0281803
+0.0265337
+0.0247942
+0.0231316
+0.0215634
+0.020112
+0.0188043
+0.0176722
+0.0167515
+0.0159976
+0.0154833
+0.0152468
+0.0152842
+0.0155916
+0.016172
+0.0170168
+0.0180205
+0.0191903
+0.0204857
+0.0219239
+0.0234431
+0.0250561
+0.0263681
+0.027182
+0.0281433
+0.0292261
+0.0304087
+0.0316987
+0.0330837
+0.0320416
+0.0309112
+0.0298989
+0.029017
+0.0282776
+0.0276922
+0.0272406
+0.026956
+0.0268477
+0.0269034
+0.0271166
+0.0275031
+0.0280401
+0.0287176
+0.0624645
+0.0620775
+0.0617658
+0.0615306
+0.0613728
+0.0612929
+0.0612912
+0.0613678
+0.0615202
+0.0617371
+0.0620307
+0.0623998
+0.0628431
+0.0633592
+0.0639461
+0.0646021
+0.065325
+0.0639675
+0.062104
+0.0602559
+0.0584306
+0.0566311
+0.0548601
+0.0531205
+0.0514153
+0.0497481
+0.048123
+0.0465442
+0.0450167
+0.0435454
+0.0421365
+0.0407966
+0.0395327
+0.0380152
+0.0365119
+0.0350811
+0.033732
+0.0324748
+0.0313204
+0.0302751
+0.0293305
+0.0285232
+0.0278652
+0.0273672
+0.027038
+0.0268839
+0.0268945
+0.0270619
+0.0267693
+0.0263923
+0.0261938
+0.0261776
+0.0263443
+0.0266904
+0.0272089
+0.0278904
+0.0287033
+0.0295738
+0.0278519
+0.0262
+0.0246324
+0.0231661
+0.0218215
+0.0206225
+0.0195958
+0.018746
+0.018045
+0.0175906
+0.0173879
+0.0174207
+0.0176877
+0.0182015
+0.0189422
+0.0198524
+0.0209206
+0.0221278
+0.0234656
+0.0249225
+0.0264472
+0.0275589
+0.0283387
+0.0292621
+0.0303063
+0.0314483
+0.0326974
+0.0340417
+0.033903
+0.0328368
+0.0318857
+0.0310602
+0.0303706
+0.0298226
+0.0294001
+0.0291366
+0.0290364
+0.0290889
+0.0292861
+0.0296444
+0.0301511
+0.0307822
+0.064556
+0.0641816
+0.0638802
+0.0636528
+0.0635003
+0.063423
+0.0634214
+0.0634954
+0.0636439
+0.0638537
+0.0641375
+0.0644946
+0.0649237
+0.0654233
+0.0659919
+0.0666277
+0.0666187
+0.0647573
+0.0629172
+0.0610937
+0.0592941
+0.0575217
+0.055779
+0.0540689
+0.0523945
+0.0507596
+0.0491678
+0.047623
+0.0461306
+0.0446958
+0.0433243
+0.0420223
+0.0407518
+0.039231
+0.0377762
+0.0363951
+0.0350966
+0.03389
+0.0327855
+0.0317679
+0.030869
+0.030103
+0.0294803
+0.02901
+0.0286997
+0.0285545
+0.0285651
+0.0287228
+0.0284587
+0.0281044
+0.027918
+0.0279028
+0.0280593
+0.0283844
+0.0288726
+0.0295157
+0.0303005
+0.0309169
+0.0292741
+0.0277072
+0.0262298
+0.0248579
+0.0236098
+0.0225063
+0.0215694
+0.0207535
+0.0201226
+0.0197161
+0.0195399
+0.0195691
+0.0198021
+0.0202614
+0.0209011
+0.0217408
+0.02273
+0.0238581
+0.0251039
+0.0264726
+0.0279409
+0.0288672
+0.0296125
+0.0304973
+0.031502
+0.0326022
+0.0338086
+0.0351105
+0.0358017
+0.0347938
+0.0338976
+0.0331223
+0.0324765
+0.0319578
+0.0315638
+0.0313185
+0.0312254
+0.0312751
+0.0314586
+0.0317924
+0.0322715
+0.0328631
+0.0666539
+0.0662914
+0.0659996
+0.0657795
+0.0656319
+0.0655572
+0.0655556
+0.0656272
+0.0657716
+0.0659751
+0.0662498
+0.0665956
+0.0670112
+0.0674953
+0.0680466
+0.0686634
+0.0674486
+0.0656108
+0.0637952
+0.0619975
+0.060225
+0.0584808
+0.0567675
+0.0550881
+0.0534454
+0.051843
+0.050285
+0.0487757
+0.0473196
+0.045922
+0.0445882
+0.0433242
+0.0420027
+0.0405289
+0.0391224
+0.0377905
+0.0365416
+0.0353843
+0.034312
+0.0333379
+0.0324825
+0.0317555
+0.0311658
+0.0307213
+0.0304284
+0.0302915
+0.030302
+0.0304507
+0.0302124
+0.0298789
+0.0297037
+0.0296895
+0.0298365
+0.0301425
+0.0306026
+0.0312101
+0.0319565
+0.0323527
+0.0307866
+0.0293007
+0.0279078
+0.0266225
+0.0254611
+0.0244261
+0.0235262
+0.0227927
+0.0222193
+0.0218515
+0.0216742
+0.0217002
+0.0219037
+0.0223198
+0.0229019
+0.0236708
+0.0246003
+0.0256579
+0.0268212
+0.0281064
+0.0294985
+0.0302718
+0.0309834
+0.0318301
+0.0328006
+0.0338586
+0.0350218
+0.0362801
+0.0376042
+0.0367771
+0.0359304
+0.0351999
+0.0345929
+0.0341
+0.0337311
+0.0335016
+0.0334145
+0.0334619
+0.0336335
+0.0339459
+0.0343953
+0.0349575
+0.0687576
+0.0684062
+0.0681235
+0.0679103
+0.0677673
+0.067695
+0.0676934
+0.0677628
+0.0679028
+0.0681008
+0.0683671
+0.0687021
+0.0691051
+0.0695747
+0.0701096
+0.0701734
+0.0683387
+0.0665255
+0.0647356
+0.0629646
+0.0612201
+0.059505
+0.0578216
+0.0561732
+0.0545629
+0.0529944
+0.0514712
+0.0499977
+0.0485784
+0.047218
+0.0459219
+0.0446956
+0.0433283
+0.0419012
+0.0405423
+0.0392586
+0.0380579
+0.0369409
+0.0359045
+0.0349747
+0.0341603
+0.0334698
+0.0329108
+0.0324902
+0.0322134
+0.0320842
+0.0320945
+0.0322349
+0.0320201
+0.0317056
+0.0315405
+0.0315271
+0.0316657
+0.0319541
+0.0323885
+0.0329631
+0.0336706
+0.0338694
+0.0323768
+0.0309673
+0.0296528
+0.0284464
+0.0273291
+0.0263464
+0.0255143
+0.0248267
+0.0243014
+0.0239655
+0.02381
+0.0238336
+0.024019
+0.0244004
+0.0249347
+0.0256427
+0.0265111
+0.0274965
+0.0286032
+0.0298117
+0.0311276
+0.0317504
+0.0324295
+0.0332395
+0.0341708
+0.0352066
+0.0363267
+0.0375254
+0.0388024
+0.0387827
+0.0379808
+0.0372905
+0.0367181
+0.036248
+0.0359012
+0.0356857
+0.0356039
+0.0356491
+0.0358103
+0.0361039
+0.0365267
+0.037063
+0.0708665
+0.0705257
+0.0702515
+0.0700448
+0.0699062
+0.069836
+0.0698346
+0.0699018
+0.0700375
+0.0702306
+0.0704888
+0.0708138
+0.0712048
+0.0716607
+0.0721802
+0.0710969
+0.0692866
+0.0674989
+0.0657354
+0.0639918
+0.0622756
+0.06059
+0.0589376
+0.0573213
+0.0557443
+0.0542099
+0.0527219
+0.0512843
+0.0499016
+0.0485783
+0.0473194
+0.0461303
+0.044722
+0.0433408
+0.0420285
+0.0407916
+0.0396373
+0.0385492
+0.0375572
+0.0366694
+0.0358935
+0.0352369
+0.0347064
+0.0343078
+0.0340458
+0.0339236
+0.0339338
+0.0340666
+0.033873
+0.0335759
+0.03342
+0.0334074
+0.0335381
+0.0338106
+0.0342215
+0.0347658
+0.0354373
+0.0354567
+0.0340337
+0.0326957
+0.0314368
+0.0302709
+0.0292229
+0.028306
+0.0275332
+0.0268853
+0.026401
+0.0260922
+0.02595
+0.0259707
+0.0261409
+0.0264918
+0.0269923
+0.0276476
+0.0284569
+0.0293826
+0.0304317
+0.0315769
+0.0327901
+0.0333075
+0.0339555
+0.0347299
+0.0356223
+0.0366242
+0.0376968
+0.0388448
+0.0400798
+0.0408074
+0.040046
+0.0393919
+0.0388489
+0.0384008
+0.0380736
+0.0378705
+0.0377935
+0.0378368
+0.0379887
+0.0382656
+0.0386648
+0.0391778
+0.0729803
+0.0726493
+0.0723832
+0.0721826
+0.0720481
+0.07198
+0.0719786
+0.0720438
+0.0721755
+0.072364
+0.0726146
+0.0729302
+0.0733099
+0.0737527
+0.0738821
+0.0720752
+0.0702901
+0.0685285
+0.0667917
+0.0650758
+0.0633889
+0.0617337
+0.0601128
+0.058529
+0.0569853
+0.0554853
+0.0540324
+0.0526307
+0.0512842
+0.0499975
+0.0487753
+0.0475773
+0.0461776
+0.0448412
+0.0435741
+0.0423824
+0.0412571
+0.0402126
+0.0392626
+0.0384143
+0.0376743
+0.0370493
+0.0365451
+0.0361668
+0.0359184
+0.0358025
+0.0358126
+0.0359385
+0.0357641
+0.0354828
+0.0353353
+0.0353234
+0.0354471
+0.035705
+0.0360943
+0.0366108
+0.0372491
+0.0371055
+0.0357442
+0.0344457
+0.033241
+0.0321406
+0.0311556
+0.0302972
+0.0295682
+0.0289633
+0.0285143
+0.0282286
+0.028095
+0.028115
+0.028273
+0.0285978
+0.0290693
+0.0296788
+0.0304341
+0.0313085
+0.032295
+0.0333844
+0.0344318
+0.0349327
+0.0355511
+0.0362914
+0.0371463
+0.0381082
+0.0391332
+0.0402402
+0.0414336
+0.0427061
+0.0421239
+0.0415026
+0.0409823
+0.0405577
+0.040248
+0.0400559
+0.0399831
+0.0400248
+0.0401684
+0.0404304
+0.0408084
+0.0412992
+0.0750985
+0.0747769
+0.0745184
+0.0743235
+0.0741929
+0.0741268
+0.0741254
+0.0741888
+0.0743167
+0.0745007
+0.0747442
+0.0750508
+0.0754198
+0.0758503
+0.0748881
+0.073106
+0.0713467
+0.0696119
+0.0679017
+0.0662144
+0.0645572
+0.0629328
+0.0613435
+0.0597923
+0.0582821
+0.0568163
+0.0553984
+0.0540321
+0.0527214
+0.0514707
+0.0502843
+0.049046
+0.0476894
+0.0463966
+0.0451732
+0.0440165
+0.0429274
+0.0419245
+0.0410142
+0.0402028
+0.0394964
+0.0389006
+0.0384208
+0.0380611
+0.0378251
+0.0377151
+0.0377251
+0.0378447
+0.0376877
+0.0374208
+0.037281
+0.0372697
+0.037387
+0.0376316
+0.0380012
+0.0384921
+0.0390997
+0.0387902
+0.0374692
+0.0362326
+0.0350892
+0.0340486
+0.0331204
+0.0323143
+0.0316217
+0.0310568
+0.0306385
+0.0303728
+0.0302467
+0.0302652
+0.0304135
+0.0307156
+0.0311618
+0.0317312
+0.0324387
+0.033263
+0.0341904
+0.0352244
+0.0361317
+0.0366168
+0.0372073
+0.0379152
+0.0387343
+0.0396577
+0.0406369
+0.0417041
+0.0428568
+0.0440882
+0.0442127
+0.0436212
+0.0431213
+0.042718
+0.0424241
+0.0422419
+0.0421729
+0.0422131
+0.0423492
+0.0425978
+0.0429568
+0.0434234
+0.0772207
+0.076908
+0.0766567
+0.0764673
+0.0763403
+0.0762761
+0.0762747
+0.0763363
+0.0764606
+0.0766405
+0.0768772
+0.0771753
+0.0775342
+0.0777227
+0.0759439
+0.0741872
+0.0724542
+0.0707424
+0.0690549
+0.0673964
+0.0657691
+0.0641753
+0.0626176
+0.0610988
+0.0596217
+0.0581897
+0.056806
+0.0554744
+0.0541986
+0.0529827
+0.0518293
+0.050567
+0.0492523
+0.0480017
+0.0468183
+0.045691
+0.0446427
+0.0436792
+0.0428062
+0.0420294
+0.0413542
+0.0407856
+0.0403282
+0.0399857
+0.0397611
+0.0396565
+0.0396664
+0.0397801
+0.039639
+0.0393854
+0.0392526
+0.0392418
+0.0393532
+0.0395857
+0.0399372
+0.0404045
+0.0409838
+0.040504
+0.0392407
+0.0380616
+0.0369749
+0.0359889
+0.035112
+0.0343526
+0.0336925
+0.0331629
+0.0327714
+0.0325232
+0.0324035
+0.0324208
+0.0325607
+0.032843
+0.0332666
+0.0338009
+0.034466
+0.0352356
+0.0361124
+0.0370932
+0.037882
+0.0383516
+0.0389163
+0.0395937
+0.0403788
+0.0412631
+0.0422009
+0.0432295
+0.0443425
+0.0455338
+0.046311
+0.0457465
+0.0452653
+0.0448813
+0.0446016
+0.0444284
+0.0443627
+0.0444016
+0.0445311
+0.0447675
+0.0451092
+0.0455539
+0.0793466
+0.0790423
+0.0787978
+0.0786136
+0.0784901
+0.0784276
+0.0784263
+0.0784862
+0.0786071
+0.0787831
+0.0790133
+0.0793034
+0.0796528
+0.0788014
+0.0770476
+0.0753159
+0.0736029
+0.0719158
+0.0702566
+0.0686272
+0.0670297
+0.0654666
+0.0639404
+0.0624537
+0.0610095
+0.0596108
+0.0582609
+0.0569633
+0.0557216
+0.0545394
+0.053416
+0.0521357
+0.0508616
+0.0496514
+0.048495
+0.0474075
+0.046398
+0.0454717
+0.0446338
+0.0438894
+0.0432432
+0.0426998
+0.0422631
+0.0419364
+0.0417223
+0.0416226
+0.0416325
+0.0417408
+0.0416141
+0.0413726
+0.0412462
+0.041236
+0.041342
+0.0415633
+0.0418982
+0.042344
+0.0428971
+0.0422618
+0.0410526
+0.0399271
+0.0388926
+0.0379564
+0.037126
+0.036401
+0.0357775
+0.0352792
+0.0349115
+0.0346786
+0.0345646
+0.0345808
+0.0347133
+0.0349783
+0.0353772
+0.035885
+0.0365119
+0.0372327
+0.0380634
+0.0389951
+0.0396762
+0.0401254
+0.0406709
+0.0413196
+0.0420724
+0.0429161
+0.0438186
+0.04481
+0.0458847
+0.047037
+0.0482612
+0.0478772
+0.0474136
+0.0470471
+0.0467804
+0.0466152
+0.0465527
+0.0465903
+0.0467137
+0.0469392
+0.0472652
+0.0476897
+0.081476
+0.0811797
+0.0809416
+0.0807623
+0.0806421
+0.0805813
+0.08058
+0.0806383
+0.080756
+0.0809283
+0.0811524
+0.0814349
+0.0816765
+0.0799257
+0.0781932
+0.076482
+0.0747957
+0.0731361
+0.0715052
+0.0699049
+0.0683373
+0.0668048
+0.0653099
+0.0638551
+0.0624433
+0.0610774
+0.0597607
+0.0584963
+0.0572879
+0.056135
+0.0550424
+0.0537479
+0.0525129
+0.0513328
+0.0502112
+0.0491617
+0.048189
+0.0472978
+0.0464929
+0.0457787
+0.0451595
+0.0446394
+0.0442219
+0.0439098
+0.0437054
+0.0436102
+0.0436199
+0.0437233
+0.0436098
+0.0433794
+0.0432589
+0.0432492
+0.0433502
+0.0435614
+0.043881
+0.0443068
+0.0448357
+0.0440584
+0.0429
+0.0418242
+0.0408377
+0.0399471
+0.039159
+0.038464
+0.0378745
+0.0374041
+0.0370576
+0.0368382
+0.0367293
+0.0367445
+0.0368703
+0.0371199
+0.0374961
+0.0379812
+0.0385674
+0.0392504
+0.0400392
+0.040926
+0.0415084
+0.0419379
+0.0424602
+0.0430819
+0.0438045
+0.044608
+0.0454843
+0.0464402
+0.047478
+0.0485925
+0.0497785
+0.0500097
+0.0495656
+0.0492151
+0.0489602
+0.0488024
+0.0487427
+0.0487792
+0.0488971
+0.0491125
+0.0494242
+0.0498303
+0.0836085
+0.0833198
+0.0830879
+0.0829132
+0.0827961
+0.0827369
+0.0827357
+0.0827924
+0.082907
+0.0830758
+0.0832941
+0.0835694
+0.0828189
+0.0810869
+0.0793775
+0.0776923
+0.0760329
+0.0744009
+0.0727984
+0.0712271
+0.0696893
+0.0681872
+0.0667232
+0.0652999
+0.06392
+0.0625864
+0.061302
+0.0600702
+0.0588916
+0.0577697
+0.0566566
+0.0553998
+0.0541992
+0.0530477
+0.0519632
+0.0509497
+0.0500118
+0.0491537
+0.0483796
+0.0476937
+0.0470997
+0.0466013
+0.0462015
+0.0459028
+0.0457073
+0.0456163
+0.045626
+0.0457249
+0.0456234
+0.0454033
+0.0452881
+0.0452788
+0.0453754
+0.0455772
+0.0458828
+0.0462901
+0.0467966
+0.0458893
+0.0447782
+0.0437487
+0.0428066
+0.0419578
+0.0412081
+0.0405404
+0.0399815
+0.0395362
+0.0392085
+0.0390013
+0.0388968
+0.0389112
+0.0390312
+0.039267
+0.0396228
+0.0400874
+0.0406369
+0.0412857
+0.0420363
+0.0428818
+0.0433738
+0.0437851
+0.0442856
+0.044882
+0.0455714
+0.0463388
+0.0471929
+0.0481149
+0.0491173
+0.0501954
+0.0513444
+0.0521465
+0.0517208
+0.051385
+0.0511409
+0.0509899
+0.0509327
+0.0509682
+0.0510811
+0.0512873
+0.0515859
+0.0519751
+0.0878588
+0.0864641
+0.085101
+0.0836863
+0.0823056
+0.0809607
+0.0796282
+0.0782994
+0.0769268
+0.0755927
+0.0742993
+0.0730487
+0.0718432
+0.0706578
+0.0694687
+0.0683037
+0.0671384
+0.0659964
+0.0648175
+0.0636838
+0.0625702
+0.0615146
+0.0604966
+0.0594562
+0.0584795
+0.0575696
+0.0567265
+0.0559326
+0.0551577
+0.0543001
+0.0534817
+0.0527158
+0.0519766
+0.0513203
+0.0507171
+0.0501687
+0.0497038
+0.0493111
+0.0489774
+0.04874
+0.048423
+0.0480544
+0.0477017
+0.0474125
+0.0472233
+0.0471117
+0.0470662
+0.0471227
+0.0472807
+0.0475226
+0.0478414
+0.0482577
+0.0487477
+0.0493134
+0.0499689
+0.0507106
+0.0514916
+0.052342
+0.0532691
+0.0542687
+0.0533142
+0.0521663
+0.0510865
+0.0500793
+0.0491436
+0.0482847
+0.0475115
+0.046828
+0.0462383
+0.045746
+0.0453543
+0.0450658
+0.0448825
+0.0448057
+0.0448307
+0.0449471
+0.0451695
+0.0454965
+0.0459258
+0.0464545
+0.0470793
+0.0477964
+0.0485844
+0.0494452
+0.0503228
+0.0512635
+0.0522765
+0.0533603
+0.0545107
+0.0557234
+0.0569946
+0.0583164
+0.0596862
+0.06105
+0.0624596
+0.0639055
+0.0653862
+0.0668796
+0.0684047
+0.0699366
+0.0861958
+0.0847923
+0.0834039
+0.0820353
+0.0806263
+0.0792529
+0.0779168
+0.076582
+0.0752482
+0.0738838
+0.07256
+0.0712789
+0.0700429
+0.0688531
+0.067663
+0.0664926
+0.0653251
+0.0641804
+0.0630258
+0.0618679
+0.0607386
+0.0596505
+0.058623
+0.0575921
+0.0565832
+0.0556423
+0.0547721
+0.0539667
+0.0531981
+0.0523793
+0.0515303
+0.0507566
+0.0499991
+0.0493165
+0.0487057
+0.0481404
+0.0476557
+0.0472564
+0.0469081
+0.0466602
+0.0464125
+0.0460292
+0.0457226
+0.0454208
+0.0452232
+0.0451281
+0.0450807
+0.0451396
+0.0453045
+0.0455605
+0.0458929
+0.0463267
+0.046837
+0.0474255
+0.0481067
+0.0488734
+0.049672
+0.0505531
+0.0515123
+0.0525454
+0.0515549
+0.0503669
+0.0492477
+0.0482021
+0.0472292
+0.0463349
+0.0455285
+0.0448148
+0.0441982
+0.043683
+0.0432726
+0.0429701
+0.0427778
+0.0426972
+0.0427235
+0.0428456
+0.0430789
+0.0434216
+0.0438712
+0.0444244
+0.0450773
+0.045819
+0.0466387
+0.0475
+0.0484064
+0.0493809
+0.0504318
+0.0515544
+0.0527441
+0.0539966
+0.0553048
+0.0566633
+0.0580208
+0.0594189
+0.0608581
+0.0623332
+0.0638225
+0.0653398
+0.0668725
+0.0683038
+0.0845517
+0.0831282
+0.0817282
+0.0803466
+0.0789721
+0.0775694
+0.0762038
+0.0748756
+0.0735401
+0.072201
+0.0708457
+0.069533
+0.0682654
+0.0670454
+0.0658728
+0.064678
+0.0635281
+0.0623581
+0.0612364
+0.0600681
+0.0589305
+0.0578094
+0.0567497
+0.0557508
+0.0547089
+0.0537352
+0.0528344
+0.052006
+0.0512208
+0.0504508
+0.0495989
+0.0487985
+0.0480401
+0.0473293
+0.0467104
+0.046126
+0.0456202
+0.0452145
+0.0448504
+0.044591
+0.0443962
+0.0440197
+0.0437238
+0.0434482
+0.0432416
+0.0431454
+0.043115
+0.0431766
+0.043349
+0.0436201
+0.0439672
+0.0444197
+0.0449519
+0.0455648
+0.0462733
+0.0470545
+0.0478835
+0.0487969
+0.04979
+0.0508554
+0.0498298
+0.0485996
+0.0474388
+0.0463524
+0.0453398
+0.0444075
+0.0435654
+0.042819
+0.0421733
+0.041633
+0.0412022
+0.0408844
+0.0406822
+0.0405975
+0.0406251
+0.0407535
+0.0409987
+0.0413587
+0.0418304
+0.0424102
+0.0430937
+0.04386
+0.0447137
+0.0455771
+0.0465114
+0.0475248
+0.0486158
+0.0497794
+0.0510105
+0.0523033
+0.0536484
+0.0549993
+0.0563844
+0.0578162
+0.0592845
+0.0607695
+0.0622779
+0.0638075
+0.0652438
+0.0666859
+0.0829329
+0.0814811
+0.0800629
+0.0786668
+0.0772925
+0.0759118
+0.0745158
+0.0731589
+0.0718282
+0.070503
+0.0691583
+0.0678129
+0.0665126
+0.0652598
+0.0640575
+0.0628874
+0.0617041
+0.0605602
+0.0594045
+0.05829
+0.0571253
+0.0559934
+0.0548988
+0.0538703
+0.052859
+0.0518505
+0.0509164
+0.0500591
+0.0492616
+0.0484991
+0.04769
+0.0468584
+0.046102
+0.0453608
+0.0447147
+0.044124
+0.0435996
+0.0431752
+0.0428058
+0.042534
+0.0423737
+0.0420194
+0.0417184
+0.0414975
+0.0412812
+0.0411804
+0.0411673
+0.041236
+0.0414165
+0.0416971
+0.04206
+0.0425329
+0.0430956
+0.0437345
+0.0444723
+0.0452686
+0.0461298
+0.0470772
+0.0481054
+0.0492033
+0.0481426
+0.0468682
+0.0456633
+0.0445337
+0.0434787
+0.0425056
+0.0416251
+0.0408432
+0.0401657
+0.039598
+0.0391448
+0.0388102
+0.0385972
+0.0385079
+0.038537
+0.0386723
+0.0389306
+0.0393095
+0.0398056
+0.0404144
+0.041127
+0.041924
+0.0427777
+0.0436731
+0.0446434
+0.0456982
+0.0468318
+0.0480387
+0.0493133
+0.0506435
+0.0519845
+0.0533573
+0.0547806
+0.0562411
+0.0577213
+0.0592198
+0.0607458
+0.0621876
+0.0636296
+0.0650967
+0.0813287
+0.0798602
+0.0784127
+0.0770003
+0.0756084
+0.0742421
+0.0728546
+0.0714661
+0.0701185
+0.0687854
+0.0674715
+0.0661207
+0.0647864
+0.0634996
+0.0622633
+0.061079
+0.0599047
+0.0587426
+0.0575977
+0.0564664
+0.0553448
+0.0541954
+0.0530736
+0.0520098
+0.0510128
+0.0499908
+0.0490212
+0.048132
+0.0473127
+0.0465476
+0.0457842
+0.0449399
+0.0441556
+0.0434136
+0.0427382
+0.0421396
+0.0415964
+0.0411513
+0.0407764
+0.0404909
+0.0403191
+0.0400219
+0.0397306
+0.039526
+0.039345
+0.0392393
+0.0392307
+0.0393106
+0.0394999
+0.0397984
+0.0401785
+0.0406732
+0.0412722
+0.0419389
+0.0427039
+0.0435197
+0.0444148
+0.045398
+0.0464589
+0.0475948
+0.0464974
+0.0451766
+0.0439253
+0.0427498
+0.0416497
+0.0406328
+0.0397108
+0.0388904
+0.0381783
+0.0375806
+0.0371028
+0.0367496
+0.0365246
+0.0364301
+0.0364609
+0.0366039
+0.0368767
+0.0372765
+0.0377992
+0.0384399
+0.0391784
+0.0400142
+0.0408674
+0.0417931
+0.0428061
+0.0439051
+0.0450838
+0.0463362
+0.0476505
+0.0489773
+0.0503387
+0.0517523
+0.0532041
+0.0546779
+0.0561661
+0.0576879
+0.0591357
+0.0605773
+0.0620395
+0.0635433
+0.0797183
+0.078259
+0.0767895
+0.0753467
+0.0739406
+0.072552
+0.0711943
+0.0698011
+0.0684207
+0.0670835
+0.0657477
+0.0644464
+0.0630891
+0.0617669
+0.0604952
+0.0592773
+0.0581129
+0.0569333
+0.0557951
+0.0546503
+0.0535455
+0.0524114
+0.0512772
+0.0501752
+0.0491461
+0.0481589
+0.0471517
+0.0462264
+0.0453758
+0.0445983
+0.0438436
+0.0430473
+0.0422278
+0.0414908
+0.0407834
+0.0401766
+0.0396129
+0.0391453
+0.0387646
+0.0384642
+0.0382758
+0.0380453
+0.037749
+0.037552
+0.0374289
+0.0373258
+0.0373221
+0.0374136
+0.0376124
+0.0379312
+0.0383299
+0.0388481
+0.0394813
+0.0401825
+0.0409701
+0.0418125
+0.0427433
+0.0437617
+0.044859
+0.0460344
+0.0448989
+0.0435296
+0.0422295
+0.0410054
+0.0398572
+0.0387933
+0.0378265
+0.0369643
+0.0362144
+0.0355837
+0.0350787
+0.0347049
+0.0344665
+0.0343664
+0.034399
+0.0345506
+0.0348395
+0.0352624
+0.0358145
+0.0364894
+0.0372567
+0.0380999
+0.0389807
+0.0399449
+0.0410035
+0.0421495
+0.043376
+0.0446719
+0.0459822
+0.0473305
+0.0487328
+0.0501746
+0.0516345
+0.0531176
+0.0546346
+0.0560888
+0.0575278
+0.0589867
+0.060487
+0.0620284
+0.0781362
+0.0766467
+0.0751915
+0.0737211
+0.0722834
+0.0708843
+0.0694984
+0.0681502
+0.0667516
+0.0653803
+0.0640524
+0.0627159
+0.061423
+0.0600642
+0.0587557
+0.0575008
+0.0563032
+0.0551517
+0.053976
+0.0528626
+0.0517191
+0.0506262
+0.049492
+0.0483703
+0.0473021
+0.0463082
+0.0453109
+0.0443473
+0.043463
+0.0426592
+0.0419258
+0.0411714
+0.0403269
+0.0395714
+0.0388539
+0.0382234
+0.037651
+0.0371602
+0.0367732
+0.0364564
+0.0362496
+0.0360934
+0.0357838
+0.0355886
+0.0354913
+0.0354444
+0.0354442
+0.0355473
+0.0357594
+0.0361004
+0.0365191
+0.0370627
+0.0377258
+0.0384688
+0.039282
+0.0401522
+0.0411206
+0.0421732
+0.0433107
+0.0445271
+0.0433521
+0.0419323
+0.0405811
+0.0393057
+0.0381063
+0.0369921
+0.0359769
+0.0350693
+0.0342779
+0.0336109
+0.0330758
+0.0326791
+0.0324259
+0.0323194
+0.0323541
+0.0325152
+0.032822
+0.0332706
+0.0338552
+0.034557
+0.0353662
+0.0362079
+0.0371216
+0.0381328
+0.0392404
+0.0404364
+0.0417107
+0.0430017
+0.0443346
+0.0457239
+0.047154
+0.0485979
+0.0500751
+0.0515867
+0.0530479
+0.0544815
+0.0559388
+0.0574352
+0.058975
+0.0605549
+0.076584
+0.0750637
+0.0735773
+0.0721254
+0.0706552
+0.0692232
+0.0678308
+0.0664489
+0.0651113
+0.0637069
+0.0623455
+0.0610151
+0.059691
+0.058394
+0.0570471
+0.0557539
+0.054518
+0.0533414
+0.0521854
+0.0510354
+0.0499221
+0.0488016
+0.047716
+0.0465916
+0.0454887
+0.0444593
+0.0434878
+0.042498
+0.0415777
+0.0407367
+0.0399912
+0.0392417
+0.0384569
+0.0376639
+0.0369535
+0.03629
+0.0357103
+0.0351995
+0.0348058
+0.0344682
+0.0342438
+0.0341579
+0.0338433
+0.0336484
+0.0335754
+0.0335442
+0.0336007
+0.0337151
+0.0339468
+0.0343059
+0.034752
+0.0353229
+0.0360181
+0.0367964
+0.0376379
+0.038545
+0.0395478
+0.0406408
+0.04182
+0.0430785
+0.0418628
+0.0403907
+0.0389862
+0.0376568
+0.0364031
+0.035235
+0.0341677
+0.0332107
+0.0323739
+0.0316668
+0.0310983
+0.030676
+0.0304061
+0.0302926
+0.0303296
+0.0305013
+0.0308282
+0.0313053
+0.031926
+0.0326572
+0.0334853
+0.0343459
+0.0353007
+0.0363625
+0.0375224
+0.0387709
+0.040039
+0.0413537
+0.0427277
+0.0441441
+0.0455696
+0.0470395
+0.0485451
+0.0500141
+0.0514389
+0.0528967
+0.0543886
+0.0559264
+0.0575067
+0.0590973
+0.0750453
+0.073512
+0.0719935
+0.0705104
+0.0690582
+0.0675924
+0.0661666
+0.0647769
+0.0634041
+0.0620656
+0.0606675
+0.0593174
+0.0579841
+0.0566739
+0.0553726
+0.0540393
+0.0527633
+0.0515488
+0.050396
+0.0492353
+0.0481145
+0.046995
+0.0459076
+0.0448305
+0.0437099
+0.0426375
+0.0416484
+0.0406826
+0.0397236
+0.0388425
+0.0380673
+0.037338
+0.0366178
+0.0357888
+0.0350723
+0.0343875
+0.0338
+0.0332674
+0.0328557
+0.0325007
+0.032262
+0.032171
+0.031934
+0.0317364
+0.0316635
+0.0316721
+0.0317782
+0.031928
+0.0321812
+0.0325598
+0.0330358
+0.0336358
+0.0343651
+0.0351753
+0.0360516
+0.0369956
+0.0380358
+0.039171
+0.0403931
+0.0416947
+0.0403971
+0.0389046
+0.0374515
+0.0360655
+0.0347545
+0.0335291
+0.0324056
+0.031395
+0.0305084
+0.029757
+0.0291513
+0.0287003
+0.0284116
+0.0282901
+0.0283298
+0.0285136
+0.028863
+0.029372
+0.0300235
+0.0307961
+0.0316208
+0.032517
+0.033524
+0.0346403
+0.0358559
+0.0370984
+0.0383896
+0.0397471
+0.0411473
+0.0425514
+0.0440108
+0.0455112
+0.0469886
+0.0484033
+0.0498615
+0.0513481
+0.0528837
+0.0544641
+0.0560645
+0.0576495
+0.0735206
+0.0719744
+0.0704422
+0.0689258
+0.0674464
+0.0659939
+0.0645328
+0.063114
+0.0617274
+0.0603647
+0.0590231
+0.0576344
+0.0562968
+0.0549607
+0.0536661
+0.0523602
+0.0510422
+0.0497858
+0.0485953
+0.0474681
+0.0463046
+0.0452083
+0.0440913
+0.0430421
+0.041951
+0.040852
+0.0398232
+0.038865
+0.0379012
+0.0369812
+0.036166
+0.0354624
+0.0347084
+0.0339515
+0.0331954
+0.0325053
+0.0318998
+0.0313694
+0.0309324
+0.0305629
+0.0303089
+0.0302121
+0.0300453
+0.0298544
+0.0297897
+0.0298405
+0.0299582
+0.0301942
+0.0304707
+0.0308652
+0.0313787
+0.0320097
+0.032767
+0.0336094
+0.0345316
+0.0355101
+0.0365925
+0.0377711
+0.0390371
+0.0403824
+0.0389936
+0.0374452
+0.0359636
+0.03454
+0.0331687
+0.0318824
+0.0306987
+0.0296299
+0.0286889
+0.0278885
+0.0272412
+0.0267582
+0.0264483
+0.0263177
+0.0263603
+0.0265577
+0.0269325
+0.0274774
+0.0281588
+0.0289535
+0.0297903
+0.0307355
+0.0317989
+0.0329738
+0.0341857
+0.0354476
+0.036786
+0.0381607
+0.0395455
+0.0409924
+0.0424865
+0.0439732
+0.0453762
+0.0468329
+0.048315
+0.0498477
+0.0514281
+0.0530331
+0.0546217
+0.0562475
+0.0720128
+0.0704514
+0.068906
+0.0673751
+0.0658609
+0.0643856
+0.0629329
+0.0614772
+0.060066
+0.058683
+0.0573317
+0.0559866
+0.0546086
+0.0532825
+0.051946
+0.0506691
+0.0493584
+0.048058
+0.046824
+0.045659
+0.0445289
+0.0433971
+0.0423104
+0.0412159
+0.0401855
+0.039105
+0.0380318
+0.0370501
+0.036103
+0.0351578
+0.0342993
+0.0335621
+0.0328342
+0.0321484
+0.031354
+0.030658
+0.0300153
+0.0294905
+0.0290252
+0.0286615
+0.0283906
+0.0282872
+0.0281976
+0.0280055
+0.0279499
+0.0280336
+0.0281887
+0.0284786
+0.0288156
+0.0292327
+0.0297776
+0.0304514
+0.031234
+0.0321167
+0.0330819
+0.0341007
+0.0352264
+0.0364492
+0.0377596
+0.0391487
+0.0376652
+0.0360598
+0.0345189
+0.0330514
+0.0316552
+0.0303048
+0.0290569
+0.0279253
+0.0269247
+0.0260703
+0.0253766
+0.0248573
+0.0245235
+0.0243826
+0.0244285
+0.0246415
+0.0250449
+0.0256248
+0.0263443
+0.0271161
+0.028008
+0.0290102
+0.0301345
+0.0313086
+0.0325346
+0.0338494
+0.0351847
+0.0365536
+0.0379869
+0.0394732
+0.0409702
+0.0423593
+0.0438115
+0.0452907
+0.0468199
+0.0484
+0.0500017
+0.0516022
+0.0532301
+0.0548971
+0.07044
+0.0689418
+0.0673848
+0.0658403
+0.0643109
+0.0627992
+0.0613286
+0.0598758
+0.058426
+0.0570235
+0.0556445
+0.054306
+0.0529573
+0.0515914
+0.0502626
+0.0489418
+0.0476851
+0.0463693
+0.0450891
+0.043881
+0.0427457
+0.0416126
+0.0405104
+0.0394269
+0.0383752
+0.0373613
+0.0362842
+0.0352582
+0.0343188
+0.0333722
+0.0324731
+0.0316935
+0.0310015
+0.0302891
+0.0295595
+0.0288547
+0.0281751
+0.0276447
+0.0271479
+0.0267762
+0.0265145
+0.0264038
+0.0263797
+0.0261972
+0.0261635
+0.026253
+0.0264688
+0.0267912
+0.0272254
+0.0276773
+0.0282523
+0.0289617
+0.0297834
+0.0307078
+0.0317159
+0.0327772
+0.0339468
+0.0352141
+0.0365687
+0.0380015
+0.0364204
+0.0347575
+0.0331561
+0.0316254
+0.0301762
+0.0288074
+0.0274916
+0.0262927
+0.0252275
+0.0243135
+0.0235682
+0.0230081
+0.022647
+0.0224944
+0.0225442
+0.0227747
+0.0232107
+0.0238188
+0.0245419
+0.0253351
+0.0262874
+0.0273515
+0.0284779
+0.0296591
+0.0309443
+0.0322317
+0.0335796
+0.0349976
+0.0364741
+0.0379824
+0.0393551
+0.0407992
+0.0422771
+0.0438019
+0.0453813
+0.0469789
+0.0485927
+0.0502225
+0.0518936
+0.0536022
+0.0688808
+0.0673687
+0.0658733
+0.0643212
+0.0627778
+0.0612502
+0.0597414
+0.0582756
+0.0568231
+0.05538
+0.0539873
+0.052613
+0.0512889
+0.0499364
+0.0485844
+0.047253
+0.0459501
+0.0447166
+0.0433955
+0.0421389
+0.0409601
+0.0398602
+0.0387246
+0.0376426
+0.0365785
+0.0355775
+0.0345701
+0.0335092
+0.0325397
+0.0316151
+0.0306947
+0.0298686
+0.029184
+0.0284612
+0.0278137
+0.0270717
+0.0263885
+0.0258254
+0.025321
+0.0249267
+0.0246524
+0.0245631
+0.0245258
+0.0244515
+0.024427
+0.0245387
+0.0247927
+0.0251765
+0.0256526
+0.0262109
+0.0268194
+0.0275656
+0.0284277
+0.0293948
+0.0304464
+0.0315504
+0.0327639
+0.0340751
+0.0354733
+0.0369485
+0.0352677
+0.0335478
+0.0318856
+0.0302908
+0.0287745
+0.0273497
+0.0260168
+0.0247466
+0.0236117
+0.0226325
+0.0218299
+0.021224
+0.020832
+0.0206659
+0.0207163
+0.0209669
+0.0214397
+0.0220824
+0.0227702
+0.0236229
+0.0246415
+0.0257089
+0.0268332
+0.0280722
+0.0293087
+0.0306303
+0.0320289
+0.033493
+0.0350139
+0.0363666
+0.037798
+0.0392766
+0.0407959
+0.0423731
+0.0439666
+0.0455949
+0.0472266
+0.0489019
+0.0506167
+0.0523594
+0.0673566
+0.0658097
+0.0642998
+0.0628077
+0.0612611
+0.059719
+0.0581934
+0.0566876
+0.0552243
+0.0537755
+0.0523401
+0.050958
+0.0495897
+0.0482818
+0.0469256
+0.0455895
+0.0442555
+0.0429734
+0.0417482
+0.0404404
+0.0392114
+0.0380653
+0.0369743
+0.0358662
+0.0348143
+0.0337654
+0.032816
+0.0318149
+0.0307958
+0.0298842
+0.0289637
+0.0280961
+0.0273672
+0.0266879
+0.0260419
+0.0253296
+0.0246662
+0.0240629
+0.0235563
+0.0231368
+0.022841
+0.0227503
+0.0227318
+0.0227646
+0.0227068
+0.0228504
+0.0231244
+0.0235694
+0.0241559
+0.024816
+0.0254864
+0.0262779
+0.0271812
+0.0281911
+0.0292859
+0.0304321
+0.0316884
+0.0330424
+0.0344824
+0.0359983
+0.0342166
+0.032441
+0.0307191
+0.0290603
+0.0274761
+0.0259802
+0.0245888
+0.023304
+0.0220951
+0.0210455
+0.0201799
+0.0195229
+0.0190959
+0.0189147
+0.0189652
+0.0192387
+0.0197419
+0.0203542
+0.0210774
+0.0219959
+0.023024
+0.0240744
+0.0252384
+0.0264256
+0.0277123
+0.0290873
+0.0305351
+0.0320495
+0.0333981
+0.0348137
+0.0362917
+0.0378048
+0.0393747
+0.0409671
+0.0426079
+0.0442448
+0.0459244
+0.0476456
+0.0493746
+0.0511335
+0.065794
+0.0642868
+0.0627413
+0.0612337
+0.0597454
+0.058205
+0.0566644
+0.0551409
+0.0536355
+0.052178
+0.0507341
+0.0493075
+0.0479304
+0.0465762
+0.0452835
+0.0439269
+0.0426062
+0.0412729
+0.0400152
+0.0387913
+0.0375083
+0.0363123
+0.0352045
+0.0341157
+0.033031
+0.0319974
+0.0310041
+0.0300877
+0.0291085
+0.0281549
+0.0272689
+0.0263865
+0.0256089
+0.0249809
+0.0242895
+0.0236546
+0.02299
+0.0223647
+0.0218687
+0.0214197
+0.0210999
+0.0210029
+0.0210118
+0.0210612
+0.0210448
+0.0211997
+0.0215378
+0.0220149
+0.0226809
+0.0234856
+0.0242483
+0.0250965
+0.0260596
+0.0271112
+0.0282479
+0.0294345
+0.0307317
+0.032126
+0.0336054
+0.0351442
+0.0332768
+0.0314482
+0.0296686
+0.0279476
+0.0262965
+0.0247293
+0.0232631
+0.0219181
+0.0206964
+0.0195731
+0.0186392
+0.0179258
+0.0174599
+0.0172614
+0.0173146
+0.0176137
+0.0181128
+0.0186994
+0.0194841
+0.0204562
+0.0214087
+0.0224741
+0.0235935
+0.0248269
+0.0261794
+0.0276038
+0.0291019
+0.0304555
+0.0318511
+0.0333237
+0.03483
+0.0363931
+0.0379834
+0.0396266
+0.0412801
+0.0429639
+0.0446744
+0.0464046
+0.0481724
+0.0499554
+0.0642575
+0.0627228
+0.0612184
+0.0596759
+0.058171
+0.0566871
+0.0551536
+0.0536149
+0.0520903
+0.0505883
+0.0491382
+0.0477
+0.0462836
+0.0449125
+0.0435746
+0.0422979
+0.0409431
+0.0396205
+0.0383086
+0.0370798
+0.0358582
+0.0346052
+0.0334468
+0.0323704
+0.0312965
+0.0302475
+0.0292332
+0.0283027
+0.0274275
+0.0264881
+0.0255982
+0.0247403
+0.0239222
+0.0232689
+0.0226138
+0.0220094
+0.0213629
+0.020759
+0.0202596
+0.0197728
+0.0194445
+0.0193413
+0.0193601
+0.0193962
+0.0194653
+0.0196327
+0.0200244
+0.0205685
+0.0212876
+0.0221687
+0.0231517
+0.0240442
+0.0250663
+0.0261696
+0.0273464
+0.0285705
+0.0299051
+0.0313362
+0.0328512
+0.0343427
+0.0324416
+0.0305787
+0.028747
+0.0269672
+0.0252521
+0.0236157
+0.0220757
+0.0206535
+0.0193522
+0.0182073
+0.0172396
+0.0164657
+0.0159571
+0.0157398
+0.0157953
+0.0160766
+0.0165612
+0.017165
+0.0180167
+0.0188575
+0.0198052
+0.0208245
+0.0219995
+0.0233018
+0.0247001
+0.026189
+0.0275418
+0.028917
+0.03038
+0.0318748
+0.0334326
+0.0350196
+0.0366648
+0.0383319
+0.0400217
+0.0417149
+0.0434526
+0.0452271
+0.0470149
+0.0487907
+0.0627545
+0.0611877
+0.0596544
+0.0581532
+0.0566141
+0.0551122
+0.0536333
+0.0521078
+0.0505692
+0.049045
+0.0475478
+0.0461061
+0.0446707
+0.0432702
+0.0419062
+0.0405875
+0.0393263
+0.037976
+0.0366535
+0.0353673
+0.0341731
+0.0329496
+0.031733
+0.0306068
+0.0295879
+0.0285154
+0.0275229
+0.026543
+0.0256666
+0.0248554
+0.0239558
+0.0231206
+0.0223232
+0.0216216
+0.0210188
+0.0204253
+0.0197777
+0.0192359
+0.0187479
+0.0182367
+0.0179045
+0.0177924
+0.0178208
+0.0177778
+0.0178409
+0.0180947
+0.0185472
+0.0191444
+0.0199531
+0.0209157
+0.0220283
+0.0231461
+0.024224
+0.0253483
+0.0265952
+0.0278523
+0.0292197
+0.0306828
+0.0322285
+0.0336649
+0.0317232
+0.029816
+0.0279504
+0.0261335
+0.0243604
+0.0226598
+0.0210499
+0.0195533
+0.0181733
+0.016949
+0.0159332
+0.0151554
+0.0146087
+0.0143672
+0.0143628
+0.0146362
+0.0151184
+0.0157846
+0.0164743
+0.0172524
+0.0181621
+0.0192553
+0.0204771
+0.0218366
+0.0233153
+0.0246489
+0.0260209
+0.0274673
+0.0289496
+0.0304994
+0.0320812
+0.0337274
+0.0353939
+0.0370792
+0.0387771
+0.0405223
+0.0423001
+0.0440839
+0.0458643
+0.0476286
+0.0612929
+0.0596878
+0.058121
+0.0565893
+0.0550917
+0.0535565
+0.0520581
+0.0505849
+0.0490663
+0.0475272
+0.0460068
+0.0445152
+0.0430834
+0.0416509
+0.0402696
+0.0389144
+0.0376176
+0.03636
+0.0350311
+0.0337102
+0.0324551
+0.0313032
+0.0300715
+0.0288995
+0.0278204
+0.0268168
+0.025795
+0.0248406
+0.0239414
+0.0231451
+0.0223908
+0.0215519
+0.0207644
+0.0200574
+0.0194776
+0.0188829
+0.0183109
+0.0177994
+0.0173307
+0.0168336
+0.0164811
+0.0163744
+0.0164086
+0.0162168
+0.0162885
+0.0165203
+0.0170018
+0.0176464
+0.0184866
+0.0195077
+0.0206864
+0.0220141
+0.0234463
+0.0246931
+0.0259788
+0.0272915
+0.0286857
+0.0301747
+0.0317398
+0.0331184
+0.0311427
+0.0291976
+0.0272897
+0.0254275
+0.0236217
+0.021882
+0.0202104
+0.0186465
+0.0171939
+0.0158943
+0.0148063
+0.0139769
+0.0133741
+0.0130989
+0.0130815
+0.0133593
+0.0138123
+0.0143231
+0.0148938
+0.0156421
+0.0166033
+0.0177439
+0.0190466
+0.0204928
+0.0218084
+0.0231436
+0.024592
+0.0260394
+0.027585
+0.0291759
+0.0308215
+0.0324857
+0.0341642
+0.0358663
+0.0376149
+0.0393994
+0.0411738
+0.0429553
+0.0447249
+0.0465305
+0.0598594
+0.0582317
+0.0566246
+0.0550577
+0.053528
+0.0520345
+0.0505038
+0.0490095
+0.0475429
+0.0460293
+0.0444931
+0.0429771
+0.0414922
+0.0400722
+0.0386436
+0.0372847
+0.0359406
+0.0346651
+0.0334167
+0.0321084
+0.0307926
+0.029576
+0.0284762
+0.0272418
+0.0261171
+0.0251072
+0.0241168
+0.023157
+0.0222664
+0.0214409
+0.0207078
+0.0200381
+0.0192866
+0.0186174
+0.0179917
+0.0174795
+0.0169777
+0.0164485
+0.0160558
+0.0156037
+0.0152228
+0.0151072
+0.0149694
+0.0148038
+0.0148323
+0.0150817
+0.0155707
+0.0162627
+0.0171592
+0.018231
+0.0194372
+0.0208004
+0.0222916
+0.0238844
+0.0255286
+0.0268864
+0.0282913
+0.0297912
+0.0313724
+0.0327098
+0.0307078
+0.0287333
+0.0267924
+0.024893
+0.0230453
+0.0212629
+0.0195531
+0.017932
+0.0164432
+0.015086
+0.0139351
+0.0130504
+0.0124026
+0.0120574
+0.0120287
+0.0122909
+0.0124899
+0.012812
+0.0133193
+0.0141216
+0.0151481
+0.0163637
+0.0177489
+0.0190361
+0.0203174
+0.0217394
+0.0231739
+0.0247045
+0.0263089
+0.027957
+0.0296161
+0.0312844
+0.0329896
+0.0347374
+0.0365222
+0.038292
+0.0400723
+0.0418492
+0.0436637
+0.0454507
+0.0584579
+0.0567995
+0.0551746
+0.0535654
+0.0519986
+0.0504712
+0.0489824
+0.047457
+0.0459676
+0.0445087
+0.0430011
+0.0414684
+0.0399579
+0.0384813
+0.0370706
+0.0356518
+0.0343143
+0.0329896
+0.0317392
+0.0305037
+0.0291965
+0.0279107
+0.0267426
+0.0256636
+0.0244771
+0.0234115
+0.0224881
+0.0215233
+0.0206361
+0.01981
+0.0190929
+0.0184386
+0.0177333
+0.0171075
+0.0165738
+0.0160813
+0.0156467
+0.0150138
+0.0145592
+0.0143792
+0.014141
+0.0139425
+0.0135929
+0.0134006
+0.0134789
+0.0138203
+0.0142633
+0.0149603
+0.0158836
+0.0169962
+0.0182791
+0.0197225
+0.0212938
+0.0229455
+0.0246741
+0.0264712
+0.0280502
+0.0295623
+0.0311552
+0.0324443
+0.0304248
+0.0284306
+0.0264675
+0.024543
+0.0226669
+0.0208521
+0.0191056
+0.0174429
+0.0159086
+0.0145331
+0.0133644
+0.0124097
+0.0116973
+0.0113289
+0.0112379
+0.0111455
+0.0110706
+0.0113226
+0.0118718
+0.0127035
+0.0137885
+0.0151062
+0.0163811
+0.0175831
+0.0189551
+0.0203765
+0.0218835
+0.0234874
+0.0251428
+0.0267968
+0.028449
+0.0301456
+0.0318967
+0.0336698
+0.0354466
+0.0372238
+0.0390075
+0.0408197
+0.0425901
+0.044398
+0.057056
+0.0554073
+0.053744
+0.0521197
+0.0505109
+0.0489444
+0.0474197
+0.0459365
+0.0444173
+0.0429337
+0.0414839
+0.0399835
+0.0384554
+0.0369517
+0.0354853
+0.0340809
+0.0326791
+0.0313677
+0.0300683
+0.0288442
+0.027631
+0.0263225
+0.0250805
+0.0239747
+0.022918
+0.0218016
+0.0208156
+0.0199519
+0.0190198
+0.0182448
+0.0175132
+0.0167813
+0.0160773
+0.0154839
+0.014972
+0.0145401
+0.0141656
+0.0135312
+0.0130104
+0.0128172
+0.0128933
+0.0128036
+0.0123985
+0.0121859
+0.0123168
+0.0126588
+0.0130875
+0.0137831
+0.0147508
+0.0159162
+0.0172794
+0.0187951
+0.0204053
+0.0221154
+0.0239041
+0.025755
+0.0276556
+0.0294948
+0.0310911
+0.0323254
+0.0302979
+0.0282948
+0.0263216
+0.0243856
+0.0224963
+0.0206666
+0.0189029
+0.0172207
+0.0156647
+0.0142656
+0.0130733
+0.0120954
+0.0113632
+0.0108721
+0.0100648
+0.00961647
+0.00954683
+0.00991375
+0.0105266
+0.0113856
+0.0125098
+0.0138067
+0.0149792
+0.0162846
+0.0176798
+0.0191484
+0.0207448
+0.0223888
+0.0240141
+0.0256591
+0.0273528
+0.0291071
+0.0308648
+0.0326473
+0.0344185
+0.0362078
+0.0379895
+0.0397652
+0.0415754
+0.0434095
+0.0556878
+0.0540032
+0.0523539
+0.0506936
+0.0490662
+0.047462
+0.045896
+0.0443746
+0.0428981
+0.0413863
+0.0399025
+0.0384708
+0.0369793
+0.035457
+0.0339622
+0.0325084
+0.0311081
+0.0297276
+0.0284489
+0.027184
+0.0259744
+0.0248002
+0.0235052
+0.0223215
+0.0212979
+0.0202742
+0.019241
+0.0183585
+0.0175236
+0.0166992
+0.0159217
+0.0152143
+0.0144685
+0.0139203
+0.0134631
+0.0131205
+0.0125444
+0.0121338
+0.011632
+0.011431
+0.0115736
+0.0117296
+0.0112453
+0.0110763
+0.0112719
+0.0116617
+0.0120544
+0.0127848
+0.0137786
+0.0150281
+0.0164657
+0.0179886
+0.0196041
+0.0213225
+0.0231209
+0.024959
+0.0268356
+0.0287452
+0.0306897
+0.0323547
+0.0303292
+0.0283283
+0.0263576
+0.0244244
+0.0225384
+0.0207124
+0.018953
+0.0172756
+0.0157251
+0.0143319
+0.0131456
+0.0119412
+0.0104591
+0.00924813
+0.00835712
+0.00785907
+0.00782445
+0.00825587
+0.00897927
+0.00998773
+0.0111744
+0.0125478
+0.0137358
+0.0151275
+0.0165418
+0.0180994
+0.0197368
+0.0213185
+0.0229476
+0.0246331
+0.0263838
+0.0281214
+0.0299069
+0.0316646
+0.0334608
+0.0352043
+0.0369815
+0.0387854
+0.0406274
+0.0424752
+0.0543037
+0.0526434
+0.0509557
+0.0493019
+0.0476495
+0.0460187
+0.04442
+0.0428549
+0.0413375
+0.0398688
+0.038366
+0.0368824
+0.0354671
+0.033992
+0.0324774
+0.0309939
+0.0295566
+0.0281624
+0.0268091
+0.0255722
+0.0243454
+0.0231636
+0.0220048
+0.0207681
+0.0196638
+0.0187514
+0.0177778
+0.016839
+0.0160049
+0.0151118
+0.0142984
+0.0135991
+0.0129482
+0.0124359
+0.0119968
+0.0115638
+0.0109021
+0.0106257
+0.0104544
+0.0103102
+0.0102798
+0.0103838
+0.0101005
+0.0101066
+0.0103436
+0.0105356
+0.01098
+0.011716
+0.0127467
+0.0140007
+0.015414
+0.0169918
+0.0186665
+0.0204169
+0.0222437
+0.0241163
+0.0260379
+0.0279753
+0.029928
+0.0319117
+0.0305181
+0.0285304
+0.0265747
+0.0246586
+0.022792
+0.0209881
+0.0192538
+0.0175851
+0.015772
+0.0139897
+0.0122701
+0.0106168
+0.00912972
+0.00778255
+0.00677033
+0.00623349
+0.00627448
+0.00682108
+0.00766503
+0.00874922
+0.0100398
+0.0114381
+0.0127257
+0.0141243
+0.0156066
+0.017215
+0.0187478
+0.0203468
+0.0220137
+0.0237247
+0.0254542
+0.0272158
+0.0289691
+0.0307369
+0.0324689
+0.0342377
+0.0360458
+0.0378461
+0.0396458
+0.0414598
+0.052815
+0.0512458
+0.0496035
+0.0479146
+0.046256
+0.0446127
+0.0429784
+0.0413837
+0.0398224
+0.0383101
+0.036851
+0.0353506
+0.0338763
+0.0324735
+0.0310263
+0.0295222
+0.0280537
+0.0266379
+0.0252531
+0.0239359
+0.0227538
+0.0215664
+0.0204157
+0.0192926
+0.0181362
+0.0171425
+0.0162964
+0.0153077
+0.0143523
+0.0134984
+0.0127461
+0.0120301
+0.0114198
+0.0109967
+0.0106222
+0.0100049
+0.00945176
+0.00916071
+0.00919176
+0.00882828
+0.0088089
+0.00881479
+0.00879609
+0.0090547
+0.00941035
+0.00947228
+0.00982776
+0.0106322
+0.0116859
+0.0129788
+0.0144646
+0.0160781
+0.0178134
+0.0196033
+0.0214235
+0.0233075
+0.0252412
+0.0272138
+0.0292175
+0.0312286
+0.0301527
+0.0280941
+0.0260512
+0.0240344
+0.0220507
+0.0201101
+0.0182263
+0.0163465
+0.0145206
+0.012748
+0.0110003
+0.00928831
+0.00769188
+0.00630213
+0.00529989
+0.00477637
+0.004926
+0.0056344
+0.00649472
+0.00760204
+0.00903362
+0.0105821
+0.0118909
+0.0133636
+0.0148984
+0.0163607
+0.017905
+0.019533
+0.0211756
+0.0228818
+0.0246183
+0.026287
+0.0280137
+0.0297499
+0.0314774
+0.0332088
+0.0349762
+0.036769
+0.0385902
+0.0404181
+0.0513107
+0.0497528
+0.048193
+0.0465712
+0.0448771
+0.0432176
+0.041585
+0.0399469
+0.038352
+0.0367995
+0.0352951
+0.0338477
+0.0323505
+0.0308885
+0.0295014
+0.0280759
+0.0265995
+0.0251431
+0.0237598
+0.0223945
+0.0211263
+0.0199816
+0.0188638
+0.0177401
+0.0167152
+0.0156429
+0.0146166
+0.0136712
+0.0127769
+0.0119294
+0.0112138
+0.0105969
+0.0100093
+0.00958621
+0.00924365
+0.00854653
+0.0080606
+0.00796131
+0.00758092
+0.00729922
+0.00741393
+0.00741858
+0.00741947
+0.00793481
+0.00831525
+0.00824499
+0.00862704
+0.00942659
+0.0105478
+0.0119167
+0.0134707
+0.0151407
+0.0169293
+0.0187579
+0.0206528
+0.0225992
+0.0245635
+0.0265631
+0.0285883
+0.0306151
+0.0293565
+0.0273022
+0.0252687
+0.0232301
+0.0211716
+0.0191421
+0.0171523
+0.0152177
+0.0133539
+0.0114742
+0.00972066
+0.00796021
+0.00633821
+0.00485212
+0.00376177
+0.00336059
+0.00376383
+0.00472123
+0.00562177
+0.00685781
+0.00838848
+0.00974845
+0.0110345
+0.0123932
+0.0137021
+0.0151868
+0.0168065
+0.0185439
+0.0203246
+0.0218961
+0.0235372
+0.0252619
+0.0269426
+0.0286575
+0.0303788
+0.0321404
+0.0339271
+0.0357563
+0.0375438
+0.0393626
+0.0498539
+0.0482507
+0.0466934
+0.0451454
+0.0435481
+0.0418463
+0.0401882
+0.0385685
+0.0369266
+0.0353312
+0.033783
+0.0322868
+0.0308604
+0.0293694
+0.0279246
+0.0265581
+0.0251566
+0.0237214
+0.022271
+0.020926
+0.0195949
+0.0183931
+0.0173089
+0.0162806
+0.0152168
+0.0140663
+0.0129933
+0.0120199
+0.0111711
+0.0103096
+0.00959924
+0.00910144
+0.00870718
+0.00828293
+0.00755121
+0.00712983
+0.00681918
+0.00646332
+0.0060134
+0.00583383
+0.00610354
+0.00607338
+0.00633928
+0.00681783
+0.00690362
+0.00695848
+0.00730635
+0.008134
+0.00939743
+0.010888
+0.0125058
+0.0142566
+0.0160776
+0.0179792
+0.0199364
+0.0218876
+0.0238803
+0.025905
+0.0279547
+0.0300244
+0.0286756
+0.0265798
+0.0245005
+0.0224391
+0.0203915
+0.0183726
+0.0163034
+0.0142541
+0.0122539
+0.0103312
+0.00846523
+0.00664039
+0.00494558
+0.0033984
+0.00234328
+0.00209969
+0.00284748
+0.00392522
+0.00477197
+0.00612467
+0.00777195
+0.0088918
+0.00994284
+0.0111287
+0.0125524
+0.0141556
+0.0158809
+0.0174867
+0.0191135
+0.0208439
+0.0225414
+0.0241769
+0.0258659
+0.0275969
+0.0293408
+0.0311254
+0.0328718
+0.0346686
+0.0364856
+0.0383238
+0.0484209
+0.0467989
+0.0451958
+0.0436395
+0.0421003
+0.0405085
+0.0388262
+0.0371664
+0.0355497
+0.0339202
+0.0323251
+0.0307824
+0.0292967
+0.0278875
+0.0264131
+0.0249934
+0.0236544
+0.0222857
+0.0208867
+0.0194682
+0.0181674
+0.0168978
+0.0157928
+0.0147801
+0.0136605
+0.0125225
+0.0114313
+0.0104551
+0.00955226
+0.00876723
+0.00813067
+0.00767249
+0.00725212
+0.00664756
+0.00599849
+0.00563494
+0.00547569
+0.00484075
+0.00449398
+0.00452261
+0.00485715
+0.00480847
+0.00513536
+0.00550327
+0.00561463
+0.00577397
+0.00608394
+0.00695355
+0.00829675
+0.00987281
+0.0116318
+0.0134694
+0.0153085
+0.0172104
+0.019174
+0.0211822
+0.0232234
+0.0252896
+0.0273752
+0.029473
+0.0280644
+0.0259562
+0.0238628
+0.0217653
+0.019665
+0.0175869
+0.0155279
+0.0134983
+0.0114451
+0.00937724
+0.00735567
+0.00545704
+0.0035909
+0.00196975
+0.000789687
+0.00100764
+0.00219649
+0.00316927
+0.00399283
+0.00530179
+0.00660218
+0.00777823
+0.00887745
+0.0101583
+0.0117007
+0.0131992
+0.0146547
+0.0162698
+0.0180069
+0.019834
+0.0214296
+0.0231117
+0.0248045
+0.0265642
+0.0282743
+0.0300266
+0.0318333
+0.0336454
+0.0354859
+0.0373005
+0.0469627
+0.0453611
+0.0437499
+0.0421472
+0.0405923
+0.039063
+0.037472
+0.0358193
+0.0341517
+0.0325367
+0.030932
+0.0293382
+0.0278031
+0.0263316
+0.0249451
+0.0234916
+0.0221077
+0.0208068
+0.0194784
+0.0181258
+0.016766
+0.0155373
+0.0143632
+0.0133705
+0.0120844
+0.0109858
+0.00987364
+0.00891208
+0.00800186
+0.00726949
+0.00678616
+0.0062898
+0.00582379
+0.00501207
+0.00458504
+0.00438105
+0.00386395
+0.00324877
+0.00304094
+0.00326346
+0.00354921
+0.0035315
+0.00406458
+0.00411376
+0.00430793
+0.00472316
+0.00505837
+0.00604139
+0.00739687
+0.00896082
+0.0106962
+0.01257
+0.0145016
+0.0164844
+0.0184986
+0.0205406
+0.0226105
+0.0246901
+0.0267581
+0.0288334
+0.0275149
+0.0254227
+0.0232969
+0.0211787
+0.0190716
+0.0169772
+0.0148709
+0.0127642
+0.0106907
+0.00864254
+0.00663204
+0.00451756
+0.00245876
+0.000585458
+-0.000653554
+0.000207725
+0.00138398
+0.00211652
+0.00278965
+0.00405564
+0.00528996
+0.00642175
+0.00784809
+0.00931128
+0.0105907
+0.0119555
+0.0135381
+0.0152705
+0.0169675
+0.0187414
+0.0204181
+0.0220937
+0.0237972
+0.0254809
+0.0272367
+0.0290387
+0.0308439
+0.0326293
+0.0344265
+0.0362501
+0.0455625
+0.0439101
+0.0423066
+0.0407083
+0.0391065
+0.0375534
+0.0360313
+0.0344465
+0.0328271
+0.0311521
+0.0295397
+0.0279677
+0.0263768
+0.0248528
+0.0234011
+0.0220453
+0.0206216
+0.0192881
+0.0180236
+0.0167404
+0.015454
+0.0141795
+0.0130683
+0.0118398
+0.0105944
+0.00940976
+0.00835937
+0.00741304
+0.00651185
+0.00593468
+0.00537963
+0.00485946
+0.00424173
+0.00347409
+0.00320878
+0.00315272
+0.00225241
+0.00172063
+0.00175353
+0.00208041
+0.00220128
+0.00233321
+0.00281354
+0.00277574
+0.00311194
+0.00364713
+0.00392502
+0.00495769
+0.00640868
+0.00808103
+0.00987596
+0.0118046
+0.0138116
+0.0158136
+0.0178567
+0.0199313
+0.0219464
+0.02399
+0.0260574
+0.0281436
+0.026853
+0.0247932
+0.0227334
+0.0206581
+0.018553
+0.0164543
+0.0143293
+0.0122274
+0.0101489
+0.00803388
+0.00592619
+0.00389374
+0.00194766
+-0.000190897
+-0.00182845
+-0.000784737
+0.000178449
+0.000998226
+0.00154309
+0.00302608
+0.00398483
+0.00513202
+0.00660193
+0.00822714
+0.00947808
+0.0109556
+0.0124979
+0.0141821
+0.0159648
+0.0177542
+0.019433
+0.0210937
+0.0227665
+0.024512
+0.0262951
+0.0280357
+0.0297879
+0.0315853
+0.0333999
+0.0352449
+0.044214
+0.0425223
+0.0408644
+0.0392588
+0.0376759
+0.0360755
+0.0345251
+0.0330091
+0.0314351
+0.0298266
+0.0281739
+0.0265648
+0.025015
+0.0234509
+0.0219433
+0.0205198
+0.0192076
+0.0178281
+0.0165681
+0.0153579
+0.0141386
+0.0129168
+0.0116125
+0.0102619
+0.00910567
+0.00794076
+0.00689483
+0.00595854
+0.00510213
+0.0045788
+0.00395497
+0.00365941
+0.00260864
+0.0020287
+0.00215037
+0.00152917
+0.000710289
+0.000290283
+0.000406334
+0.00114321
+0.000862544
+0.00128948
+0.00144662
+0.00150467
+0.00185086
+0.00261102
+0.00287833
+0.00399778
+0.00549052
+0.00724143
+0.00911796
+0.0111092
+0.0131245
+0.0150967
+0.0171169
+0.0191746
+0.0212589
+0.0233264
+0.0253903
+0.0274738
+0.0261666
+0.0241084
+0.0220756
+0.0200761
+0.0180149
+0.0159362
+0.0138355
+0.0117492
+0.00969121
+0.00759098
+0.00546563
+0.00341533
+0.00145104
+-0.000471855
+-0.00207769
+-0.00045995
+-0.000989289
+-0.000122183
+0.000370639
+0.00186694
+0.00270297
+0.00386691
+0.00536879
+0.00697602
+0.00844485
+0.00986584
+0.011498
+0.0131626
+0.0148669
+0.0165235
+0.0182927
+0.0200916
+0.0218332
+0.0235373
+0.0252476
+0.027003
+0.0287741
+0.0305907
+0.0324095
+0.0342579
+0.0428863
+0.041181
+0.039491
+0.0378272
+0.0362195
+0.0346552
+0.033057
+0.0315104
+0.0300023
+0.0284424
+0.0268333
+0.0252245
+0.0236197
+0.0220839
+0.0205754
+0.0190931
+0.0177119
+0.0164505
+0.0151535
+0.0139921
+0.0127399
+0.0113979
+0.0101122
+0.00883315
+0.00761434
+0.00655769
+0.00549679
+0.00454562
+0.00388461
+0.00321472
+0.00275179
+0.00206607
+0.00109734
+0.00107709
+0.00087053
+-0.000100216
+-0.000859019
+-0.00112163
+-0.000611653
+1.14031e-05
+-0.000341691
+0.000403172
+0.000156723
+0.00028777
+0.0007224
+0.00153274
+0.00177881
+0.00287567
+0.00457764
+0.00646447
+0.00834876
+0.0103139
+0.012342
+0.0143812
+0.0164177
+0.0184741
+0.0205582
+0.0226624
+0.0247698
+0.0268722
+0.025383
+0.0235347
+0.0214585
+0.0193974
+0.0173659
+0.0153782
+0.0133737
+0.0112779
+0.00922641
+0.00717889
+0.0051807
+0.00323452
+0.00130928
+-0.000458453
+-0.000792337
+0.000657832
+-0.000768568
+-0.00128378
+-0.000733194
+0.000607604
+0.00147184
+0.00261131
+0.00411948
+0.00573895
+0.00746421
+0.0088867
+0.0103912
+0.0120157
+0.0136667
+0.0154243
+0.0171532
+0.0189777
+0.0208074
+0.0225407
+0.0242548
+0.02602
+0.0278044
+0.0296145
+0.0314654
+0.0333218
+0.0415581
+0.0398529
+0.0381584
+0.036471
+0.0348007
+0.033191
+0.0316439
+0.0300546
+0.0285135
+0.0270161
+0.0254749
+0.0238668
+0.0223155
+0.0207174
+0.0192028
+0.0177749
+0.0163283
+0.0150044
+0.0138307
+0.0126397
+0.011318
+0.0099312
+0.00865101
+0.00749575
+0.00629491
+0.00516989
+0.00410469
+0.00316442
+0.00250242
+0.00195495
+0.00153669
+0.000360507
+-0.000526953
+3.34982e-05
+-0.000773986
+-0.000336559
+-0.000130237
+-0.000186225
+-0.000319759
+-0.00123514
+-0.00127727
+-0.000615739
+-0.00060458
+-0.000895617
+-0.000353037
+0.000586932
+0.000636898
+0.00190539
+0.00364661
+0.00556955
+0.00752157
+0.00953653
+0.0115715
+0.0136548
+0.0157672
+0.0178583
+0.0199673
+0.0219907
+0.0240038
+0.025916
+0.0243218
+0.0224491
+0.0206327
+0.018862
+0.0168358
+0.0147937
+0.0127977
+0.010859
+0.00882923
+0.00682469
+0.00486068
+0.00302284
+0.00128829
+6.99283e-05
+0.000281101
+0.00182869
+-0.000160131
+-0.00174039
+-0.00148844
+-0.000445978
+0.000234632
+0.00133135
+0.00285997
+0.00453865
+0.00640301
+0.00779675
+0.00928186
+0.0109279
+0.0125403
+0.0142823
+0.0160618
+0.0178801
+0.0197321
+0.0214878
+0.0232657
+0.0250684
+0.0268813
+0.0287143
+0.0305337
+0.032373
+0.0402777
+0.0385339
+0.0368261
+0.0351379
+0.0334591
+0.031788
+0.0301766
+0.028635
+0.0270729
+0.0255407
+0.0240583
+0.0225405
+0.0209385
+0.0194379
+0.0178666
+0.0163711
+0.0150469
+0.0136634
+0.0124358
+0.0113141
+0.00991415
+0.00856813
+0.00724801
+0.00601737
+0.00483323
+0.00374773
+0.00270468
+0.00185888
+0.00122602
+0.00063968
+-5.43039e-05
+-0.000913
+-0.00161786
+-0.00128354
+0.000483739
+0.00123921
+0.0013209
+0.00114942
+7.54086e-05
+-0.00192905
+-0.000621024
+0.000649166
+0.000586008
+-6.00233e-05
+-0.00115278
+-0.000293814
+-0.000283973
+0.000906396
+0.00276748
+0.00473503
+0.00678286
+0.00887397
+0.0109591
+0.0130653
+0.015083
+0.0171142
+0.0191204
+0.0210203
+0.022972
+0.0249601
+0.0232019
+0.02138
+0.0195656
+0.0177246
+0.015972
+0.0143163
+0.0124129
+0.0104015
+0.00847917
+0.00656578
+0.00471194
+0.00302547
+0.0016724
+0.000907073
+0.00137948
+0.00244598
+0.000625737
+-0.000735205
+-0.000773958
+0.000233428
+-0.00107387
+8.61987e-05
+0.00168761
+0.00339237
+0.00525317
+0.00677885
+0.00818443
+0.00978338
+0.0114374
+0.0131634
+0.0149722
+0.016859
+0.0186533
+0.0204917
+0.0223129
+0.0241426
+0.0259642
+0.0277626
+0.0295925
+0.0314686
+0.0390623
+0.0372665
+0.035515
+0.0338079
+0.0321198
+0.030458
+0.0287935
+0.0271809
+0.0256443
+0.0241172
+0.0226017
+0.0211317
+0.0196285
+0.0180654
+0.0165803
+0.0151012
+0.0136543
+0.0124272
+0.0112222
+0.00995443
+0.00846867
+0.00714178
+0.00591299
+0.00458038
+0.00344365
+0.00225384
+0.00127014
+0.000590639
+-0.000109025
+-0.000553652
+0.000100396
+-0.000672336
+-0.00166833
+3.179e-05
+0.00175008
+0.00266433
+0.00267556
+0.00151459
+-0.000361773
+-0.00107697
+0.000308599
+0.00199036
+0.00171022
+0.00115906
+-0.000228307
+-0.0012121
+-0.00113919
+6.10625e-05
+0.00201668
+0.00408129
+0.00620747
+0.00820008
+0.0101976
+0.0122553
+0.0142473
+0.0161262
+0.0180754
+0.0200662
+0.0220833
+0.0239493
+0.0221299
+0.0203341
+0.0184892
+0.0167279
+0.0148932
+0.0131282
+0.0115065
+0.00991
+0.008093
+0.00626018
+0.00464549
+0.00321268
+0.0022698
+0.00181368
+0.0024494
+0.00321947
+0.00148505
+0.000326244
+-0.000146839
+0.000869078
+0.000143326
+-0.00114333
+0.000520112
+0.00229952
+0.00417522
+0.00571274
+0.00708489
+0.00861375
+0.0103314
+0.0121543
+0.0138753
+0.0156844
+0.0175359
+0.01935
+0.0212352
+0.0231742
+0.0250452
+0.0268816
+0.0287676
+0.03068
+0.037756
+0.0360286
+0.0342708
+0.0325055
+0.0307939
+0.0291186
+0.0274701
+0.0258199
+0.0242001
+0.0226709
+0.0212021
+0.0196669
+0.0182001
+0.0167671
+0.015251
+0.0138086
+0.0124723
+0.0111153
+0.00994942
+0.00859749
+0.0070942
+0.00575915
+0.00452488
+0.00319632
+0.00192439
+0.000862607
+-0.000108844
+-0.000477251
+0.000300489
+0.000913217
+0.000481273
+-0.000861505
+-0.000281512
+0.00139521
+0.00311344
+0.00407089
+0.00309193
+0.00116044
+-0.000253196
+-2.13618e-05
+0.00135206
+0.0030452
+0.00294049
+0.00203351
+0.000720349
+-0.00121807
+-0.00193694
+-0.000628173
+0.0014179
+0.00331269
+0.00533615
+0.0074303
+0.00935299
+0.011236
+0.0131802
+0.0151752
+0.0172078
+0.019275
+0.0212861
+0.0229085
+0.0210656
+0.0192114
+0.0174346
+0.0156775
+0.0139052
+0.0121921
+0.0104302
+0.00884501
+0.00747895
+0.00589232
+0.00464422
+0.00355806
+0.0028879
+0.00288104
+0.00348828
+0.00400088
+0.00242364
+0.00138664
+0.000798679
+0.00141751
+0.00129188
+-3.36776e-05
+-0.000647101
+0.00122897
+0.00302997
+0.00466433
+0.00602858
+0.00766117
+0.00920353
+0.0109241
+0.0127249
+0.0145478
+0.0163998
+0.0183267
+0.0202658
+0.0222125
+0.0241937
+0.0260835
+0.0279653
+0.0298792
+0.0364954
+0.0347239
+0.0329869
+0.031295
+0.0295144
+0.0277925
+0.0261212
+0.0244914
+0.0228592
+0.0212504
+0.0197359
+0.0183038
+0.0167638
+0.0153341
+0.0139866
+0.0125684
+0.011168
+0.00975733
+0.00842556
+0.00700976
+0.00563026
+0.00430856
+0.00300517
+0.00177715
+0.000428682
+-0.000620424
+5.98933e-05
+0.00101255
+0.00175821
+0.00149409
+0.00044554
+0.000787533
+0.00156443
+0.0028047
+0.00446566
+0.00463761
+0.00286741
+0.00115396
+0.000356567
+0.00101474
+0.0024491
+0.00404855
+0.00390425
+0.0028549
+0.00123409
+-0.000931492
+-0.00283406
+-0.00152539
+0.000577114
+0.00265706
+0.0045049
+0.00635861
+0.00828877
+0.0102914
+0.0123506
+0.0144348
+0.0164018
+0.0184119
+0.020459
+0.0218235
+0.0199622
+0.0181465
+0.0163581
+0.0145628
+0.0128903
+0.0111946
+0.00957724
+0.00800825
+0.00653206
+0.00530345
+0.0043277
+0.00349404
+0.00295912
+0.00335417
+0.00418914
+0.00476027
+0.00326774
+0.00227503
+0.00152932
+0.00191946
+0.00237755
+0.00112501
+-0.000350164
+6.34537e-05
+0.00188802
+0.00376216
+0.00493236
+0.00636095
+0.00803035
+0.00981568
+0.0116159
+0.0135114
+0.0154187
+0.0173561
+0.0193336
+0.0213444
+0.0233875
+0.0252747
+0.027146
+0.0290524
+0.0352588
+0.0334837
+0.0316994
+0.0299568
+0.0282622
+0.0265478
+0.0248134
+0.0231434
+0.0215373
+0.0199402
+0.0183498
+0.0168594
+0.015454
+0.0139214
+0.0125459
+0.011225
+0.00965106
+0.00815876
+0.00681163
+0.00538948
+0.00402159
+0.00275595
+0.0014381
+0.000226288
+-0.000582921
+0.000553716
+0.00139116
+0.00248794
+0.00268837
+0.00156276
+0.00144106
+0.00216243
+0.00338503
+0.00451489
+0.00590171
+0.00489416
+0.00327335
+0.00197735
+0.00154837
+0.00224981
+0.00359118
+0.00521124
+0.00471233
+0.00279805
+0.000706821
+-0.00106575
+-0.00200346
+-0.00165736
+-0.000129333
+0.00158842
+0.00341136
+0.00543404
+0.00754695
+0.0095665
+0.0115298
+0.0135542
+0.0156075
+0.0175432
+0.0195329
+0.0206359
+0.0188339
+0.017055
+0.0152218
+0.0134826
+0.0117784
+0.010122
+0.0086482
+0.00716341
+0.00575837
+0.00459961
+0.00365335
+0.00331234
+0.00347406
+0.0037804
+0.00466958
+0.0054394
+0.00406964
+0.00313503
+0.00246188
+0.00266806
+0.003593
+0.00235416
+0.000845988
+-0.00105595
+0.000806862
+0.00254688
+0.00371739
+0.0052844
+0.00692516
+0.00876517
+0.0106189
+0.0125321
+0.0144995
+0.0165177
+0.018575
+0.0206597
+0.0225342
+0.0244373
+0.0263851
+0.0283055
+0.033925
+0.0322058
+0.03047
+0.0286905
+0.0269397
+0.0252353
+0.0236084
+0.0218675
+0.0202016
+0.0186107
+0.0170801
+0.0154947
+0.0140543
+0.0126744
+0.0111983
+0.00977887
+0.00820071
+0.00665992
+0.00522879
+0.00384629
+0.00242174
+0.00109114
+-6.91763e-05
+-0.000119455
+0.000984832
+0.00194054
+0.00288819
+0.00382311
+0.00295556
+0.00235685
+0.00261976
+0.00357744
+0.00489395
+0.00633534
+0.00734805
+0.00567187
+0.00426238
+0.00322066
+0.00294658
+0.00358437
+0.004765
+0.00635574
+0.00484092
+0.00274157
+0.000872467
+-0.000296679
+-0.00147785
+-0.00213956
+-0.000961568
+0.000864369
+0.0028229
+0.00471437
+0.00669637
+0.00874217
+0.0107301
+0.0126535
+0.0146521
+0.0166348
+0.0185623
+0.0196093
+0.0177031
+0.0158705
+0.0141401
+0.0123365
+0.0105987
+0.0090104
+0.00745885
+0.00611903
+0.00497021
+0.00398752
+0.0034829
+0.0033192
+0.00384409
+0.00468827
+0.00562532
+0.00606527
+0.00472808
+0.00372656
+0.00315189
+0.00313662
+0.00404231
+0.00355146
+0.00185754
+-0.000102456
+-0.000280887
+0.00147114
+0.00257254
+0.00412048
+0.00591456
+0.00779824
+0.00973005
+0.0117505
+0.0138228
+0.0158191
+0.0177473
+0.0197303
+0.0216991
+0.0236567
+0.0255965
+0.0274977
+0.0325989
+0.0308619
+0.0291528
+0.0274674
+0.0257028
+0.0239346
+0.0222279
+0.0205852
+0.0189701
+0.0173038
+0.0157374
+0.014249
+0.0127317
+0.0112864
+0.00990083
+0.00832808
+0.00682588
+0.0052106
+0.00373712
+0.00230024
+0.000900337
+-0.000527166
+0.000445008
+0.00157879
+0.00261554
+0.00342795
+0.00436126
+0.00425128
+0.00357405
+0.00352925
+0.00389195
+0.00490522
+0.00624522
+0.00781687
+0.0077038
+0.00627977
+0.00517863
+0.00456856
+0.00463029
+0.00509429
+0.00612736
+0.00736272
+0.00541589
+0.00360091
+0.00196493
+-3.27034e-05
+-0.00073312
+-0.00164809
+-0.00130419
+2.92132e-05
+0.00210505
+0.00413839
+0.00588794
+0.00777474
+0.00978895
+0.0117519
+0.0136657
+0.0155087
+0.0173295
+0.0183764
+0.016655
+0.0148375
+0.0129701
+0.0111996
+0.00957889
+0.00782766
+0.00627568
+0.00488002
+0.00373087
+0.00316998
+0.00282156
+0.00336825
+0.00421093
+0.00528666
+0.00670326
+0.00678469
+0.00548739
+0.0045124
+0.00377042
+0.00377941
+0.0046162
+0.00451739
+0.00263063
+0.000661969
+-0.00127569
+0.000464695
+0.00164862
+0.00328397
+0.00512148
+0.00709989
+0.00907409
+0.0109905
+0.0128963
+0.0148797
+0.0168203
+0.0187754
+0.0207775
+0.0228109
+0.0247587
+0.0266625
+0.0313384
+0.0295528
+0.0278058
+0.0261002
+0.0244184
+0.0227074
+0.0209559
+0.019248
+0.017585
+0.0160042
+0.01448
+0.0129671
+0.0114786
+0.00991426
+0.00833753
+0.00685465
+0.00536786
+0.00379264
+0.00223578
+0.000738817
+-0.000559702
+0.000641281
+0.0020635
+0.00325429
+0.00418538
+0.00508031
+0.00567657
+0.0048044
+0.00438607
+0.00474516
+0.00542609
+0.00633737
+0.00761173
+0.00909021
+0.008317
+0.00695031
+0.00605336
+0.00564986
+0.0058073
+0.00657912
+0.00767874
+0.00804249
+0.00592187
+0.00387492
+0.00208002
+0.00126877
+-0.000369046
+-0.000961325
+-0.00170308
+-0.000443269
+0.00120679
+0.00294437
+0.00498497
+0.00689017
+0.00877143
+0.0107061
+0.0124585
+0.0143319
+0.0161497
+0.0171799
+0.0153247
+0.0135699
+0.0119528
+0.0101108
+0.0082782
+0.00661981
+0.00512073
+0.00366938
+0.00269016
+0.00186729
+0.0022643
+0.00321996
+0.00453152
+0.00574508
+0.00691974
+0.00766282
+0.00649459
+0.00552408
+0.00493137
+0.0049646
+0.00551997
+0.00515624
+0.00315988
+0.00136904
+-0.000395347
+-0.000444986
+0.00130784
+0.00281762
+0.00446111
+0.00626457
+0.00810282
+0.0100686
+0.0119576
+0.0139061
+0.0159165
+0.0179537
+0.0199839
+0.0219376
+0.0239303
+0.0258386
+0.02999
+0.0282629
+0.0265186
+0.0247544
+0.0230382
+0.0213633
+0.0197397
+0.0179983
+0.0162775
+0.0146131
+0.0130542
+0.0116294
+0.0101775
+0.00847709
+0.00683286
+0.00529572
+0.00388639
+0.00243406
+0.000776619
+-0.000709107
+0.000461097
+0.002095
+0.00368095
+0.00491492
+0.00580432
+0.00659638
+0.00606422
+0.00574136
+0.00558702
+0.00598179
+0.00685977
+0.00793913
+0.00910017
+0.0100958
+0.00871832
+0.00756006
+0.00689384
+0.00667028
+0.00711509
+0.0079029
+0.00901081
+0.00823213
+0.00617164
+0.00424366
+0.00268879
+0.00102914
+-0.000706215
+-0.000898966
+-0.00180395
+-0.00149436
+0.000270803
+0.00215179
+0.00387979
+0.00587385
+0.00762291
+0.00943944
+0.0113884
+0.0131154
+0.0146996
+0.0161926
+0.0142093
+0.0122963
+0.0104925
+0.00886475
+0.00716465
+0.00535834
+0.00371992
+0.00263286
+0.0014568
+0.00131086
+0.00181964
+0.00301991
+0.00446862
+0.00619906
+0.0074687
+0.00872997
+0.00768972
+0.00697178
+0.00640665
+0.00635008
+0.00679664
+0.00571382
+0.00385038
+0.00221228
+0.000376774
+-0.00147079
+0.000411962
+0.00198983
+0.00347386
+0.00531845
+0.00714412
+0.00905947
+0.0110626
+0.0131233
+0.0150895
+0.017041
+0.0190447
+0.02102
+0.0230226
+0.0250118
+0.0287391
+0.026934
+0.0251901
+0.023494
+0.0217129
+0.0199873
+0.01832
+0.0166944
+0.0150308
+0.0133169
+0.0116952
+0.0101807
+0.00871177
+0.00708505
+0.005408
+0.00377598
+0.00232779
+0.000981383
+-0.000607672
+0.000313231
+0.00192847
+0.00355453
+0.00516778
+0.00654006
+0.0073648
+0.00742992
+0.0067899
+0.00664805
+0.00704047
+0.00748906
+0.00831657
+0.00944063
+0.0107017
+0.0104582
+0.00930142
+0.00839933
+0.00784261
+0.00774319
+0.0081508
+0.00901422
+0.0102045
+0.00892324
+0.00706721
+0.00514936
+0.00313171
+0.00134913
+0.000463612
+-0.000205947
+-0.00171473
+-0.00240173
+-0.000900802
+0.00105552
+0.00292381
+0.00455991
+0.0064953
+0.00846342
+0.0101198
+0.0116994
+0.0134514
+0.0142606
+0.0133326
+0.0113021
+0.00931373
+0.00743219
+0.00577299
+0.004123
+0.0026798
+0.00117367
+0.000358045
+0.000465037
+0.0012356
+0.00294455
+0.00475526
+0.00640877
+0.00824095
+0.0098223
+0.00892683
+0.0083086
+0.00785295
+0.00767578
+0.00791016
+0.00675711
+0.00495643
+0.0029054
+0.000846931
+-0.00127573
+-0.000528437
+0.000930113
+0.00245838
+0.00426393
+0.0062648
+0.00829988
+0.010199
+0.0121461
+0.014162
+0.0161236
+0.0181376
+0.0201694
+0.0221473
+0.0241196
+0.0274643
+0.025721
+0.0238889
+0.022122
+0.0204136
+0.0186899
+0.0169533
+0.015289
+0.0136577
+0.0120717
+0.0103971
+0.00884475
+0.00730545
+0.00563758
+0.00400127
+0.00234734
+0.000855312
+-0.000556077
+9.59306e-05
+0.00169607
+0.0033621
+0.0050013
+0.00664828
+0.00803208
+0.00853272
+0.00810104
+0.00780649
+0.0077942
+0.00822439
+0.00901795
+0.00986537
+0.0109483
+0.0122219
+0.011079
+0.0100572
+0.00933082
+0.00890943
+0.008903
+0.00927923
+0.0100423
+0.0111524
+0.009751
+0.0077089
+0.00577671
+0.00408715
+0.00278977
+0.00173446
+-0.000306776
+-0.00169221
+-0.00295925
+-0.0015608
+-8.69844e-05
+0.00162993
+0.00373757
+0.00542948
+0.0071794
+0.00874138
+0.0105298
+0.0124446
+0.012319
+0.0120197
+0.0105934
+0.0084782
+0.00641385
+0.00442485
+0.00269268
+0.00116798
+-0.000205242
+-0.000749239
+2.50604e-05
+0.00103938
+0.00272346
+0.00479548
+0.00668005
+0.00847997
+0.0104192
+0.00992939
+0.00934853
+0.00888797
+0.00871477
+0.00907781
+0.00768058
+0.00551613
+0.00338274
+0.00127149
+-0.000819095
+-0.00149781
+-1.42304e-05
+0.00144989
+0.00336236
+0.00532345
+0.00725609
+0.00926717
+0.011229
+0.0132626
+0.0152816
+0.0173246
+0.0193359
+0.0212733
+0.0232326
+0.0261612
+0.0244023
+0.022661
+0.0208593
+0.0190634
+0.0173395
+0.0156963
+0.0139393
+0.0122705
+0.0106563
+0.00917778
+0.00754688
+0.00595958
+0.00423314
+0.00256386
+0.000932643
+-0.000660702
+-0.000236312
+0.00148335
+0.00316708
+0.00474582
+0.00642462
+0.00808602
+0.00949052
+0.00915261
+0.00884497
+0.00891764
+0.00909277
+0.00958856
+0.0103928
+0.0114403
+0.012515
+0.0128401
+0.0116321
+0.0107358
+0.0101912
+0.0100112
+0.0101639
+0.0106206
+0.0113765
+0.0123388
+0.0105524
+0.00870051
+0.0070262
+0.00560877
+0.00409955
+0.00232217
+0.000708933
+-0.00134729
+-0.00276046
+-0.00289589
+-0.000889431
+0.000905026
+0.00243805
+0.00433325
+0.00586505
+0.00769848
+0.00968156
+0.0108895
+0.0104554
+0.0101225
+0.00979656
+0.00794377
+0.00591173
+0.00374059
+0.00156429
+-0.000347514
+-0.00165461
+-0.00192547
+-0.000748154
+0.00103016
+0.00275716
+0.00476994
+0.00689207
+0.00898639
+0.0108354
+0.0109174
+0.0103527
+0.00984511
+0.00965889
+0.00988317
+0.00816251
+0.00604857
+0.00397441
+0.00191922
+-8.38262e-05
+-0.0015992
+-0.000986705
+0.000471892
+0.00239862
+0.00437682
+0.00634044
+0.00838296
+0.010404
+0.0124763
+0.0145785
+0.0165297
+0.0184714
+0.0204634
+0.0224179
+0.0248995
+0.0231024
+0.0213501
+0.0195831
+0.0178532
+0.01602
+0.0142758
+0.0126235
+0.0109405
+0.00927699
+0.00769391
+0.00627609
+0.00459585
+0.00293948
+0.00115859
+-0.000506345
+-0.00045027
+0.00114779
+0.00283273
+0.00456243
+0.00619895
+0.00783132
+0.0095028
+0.0103787
+0.0100456
+0.00986426
+0.0100317
+0.0103541
+0.0110121
+0.0118468
+0.0129031
+0.0140811
+0.0134114
+0.012373
+0.0116507
+0.0111667
+0.0110626
+0.0112228
+0.011695
+0.0125036
+0.0131165
+0.0116806
+0.00997963
+0.00848956
+0.00681946
+0.00509185
+0.00329284
+0.00124104
+-0.000441321
+-0.00172216
+-0.00310714
+-0.00162865
+-0.00019461
+0.00156744
+0.00315473
+0.00506576
+0.0069214
+0.00846818
+0.00880815
+0.00829402
+0.0082564
+0.00845702
+0.00698697
+0.00505177
+0.00319911
+0.0012213
+-0.000626917
+-0.00268121
+-0.00278579
+-0.00124249
+0.000795607
+0.00284393
+0.00500168
+0.00717941
+0.00934227
+0.0114048
+0.0120066
+0.0114764
+0.0109613
+0.0107281
+0.0107973
+0.00885271
+0.00685487
+0.00480155
+0.00271053
+0.000684943
+-0.000944021
+-0.000689792
+-0.000499849
+0.00147391
+0.00350653
+0.0055633
+0.00766103
+0.00973431
+0.0118317
+0.0138064
+0.0157706
+0.0176539
+0.0195933
+0.0215135
+0.02365
+0.0218458
+0.0200555
+0.0182755
+0.0165128
+0.014812
+0.0130024
+0.0112277
+0.00955449
+0.00796271
+0.00636115
+0.00485732
+0.00327663
+0.00158773
+-0.000102962
+-0.000572549
+0.000976364
+0.00260764
+0.00421643
+0.00591072
+0.00763588
+0.00926913
+0.0109079
+0.0109752
+0.0108492
+0.0110073
+0.0113371
+0.0117332
+0.0123973
+0.0133463
+0.0143478
+0.0150118
+0.0138957
+0.0129935
+0.012376
+0.0120587
+0.0121009
+0.0123822
+0.0129117
+0.0136788
+0.0139731
+0.0129893
+0.0114725
+0.00976617
+0.007924
+0.00586364
+0.00388207
+0.00216958
+0.000950724
+-0.00113933
+-0.00298684
+-0.00229814
+-0.000806395
+0.000790826
+0.0026358
+0.00417154
+0.00568259
+0.00742951
+0.00678516
+0.00613229
+0.00606823
+0.00653175
+0.00624044
+0.00431011
+0.00217458
+0.000259009
+-0.00145767
+-0.00341016
+-0.00271276
+-0.000918231
+0.00114532
+0.00331056
+0.00547696
+0.00761535
+0.00972182
+0.0118422
+0.0132049
+0.0126858
+0.0120829
+0.0117961
+0.0117062
+0.00962347
+0.00758529
+0.00550216
+0.00346405
+0.00152313
+-8.55273e-06
+-0.000150452
+-0.00114581
+0.000774347
+0.00283508
+0.00493745
+0.00701971
+0.00907031
+0.0110312
+0.0129317
+0.0148218
+0.0166913
+0.0186129
+0.0205804
+0.0224757
+0.0206165
+0.0188063
+0.0170116
+0.0152084
+0.0134552
+0.0117253
+0.0100233
+0.00820827
+0.00651305
+0.00499053
+0.00354775
+0.0019277
+0.000213107
+-0.000963672
+0.00082778
+0.00251497
+0.00403361
+0.00565312
+0.00729713
+0.00899832
+0.010712
+0.0120706
+0.0118124
+0.0118092
+0.0120513
+0.0125228
+0.0131963
+0.0138993
+0.0147717
+0.0158692
+0.0154339
+0.0144188
+0.0136132
+0.0130758
+0.0127857
+0.0127926
+0.0131231
+0.0137639
+0.0146463
+0.0147837
+0.0140631
+0.0125619
+0.0106498
+0.008656
+0.00676473
+0.00498902
+0.00336608
+0.00120929
+-0.000619253
+-0.0021853
+-0.00303014
+-0.00156097
+-8.94333e-05
+0.00153903
+0.00297362
+0.00472684
+0.00606825
+0.00490432
+0.00399202
+0.00388089
+0.00450418
+0.00512806
+0.00341781
+0.00148913
+-0.000175856
+-0.00233805
+-0.00332837
+-0.00151595
+-3.00089e-05
+0.00188547
+0.00387231
+0.00592237
+0.00804685
+0.0101527
+0.0122402
+0.0143583
+0.0136753
+0.0130601
+0.0127627
+0.0124188
+0.0103523
+0.00834388
+0.00637939
+0.00436227
+0.00247271
+0.000865913
+0.000452538
+-0.000237783
+0.000267608
+0.00230669
+0.00430333
+0.00626016
+0.00810463
+0.00999201
+0.011895
+0.0137866
+0.0157541
+0.0177644
+0.0197846
+0.0214376
+0.0194888
+0.0175971
+0.0157539
+0.0139509
+0.0121569
+0.0104094
+0.00863995
+0.00697044
+0.00522574
+0.00355735
+0.00216155
+0.000620616
+-0.00114846
+0.000175743
+0.00206568
+0.00387738
+0.00557371
+0.00709747
+0.00871535
+0.0103843
+0.0120795
+0.0130136
+0.0127822
+0.0128713
+0.013117
+0.0136646
+0.0144852
+0.0153958
+0.0163493
+0.0172592
+0.0160986
+0.015149
+0.0144115
+0.0139282
+0.0137171
+0.0137328
+0.0140141
+0.0146181
+0.0154548
+0.0157355
+0.0150396
+0.0135188
+0.0115839
+0.00969553
+0.00790816
+0.00592345
+0.00391283
+0.00214826
+0.000295334
+-0.00159139
+-0.00261141
+-0.00247027
+-0.000948417
+0.000284472
+0.00200546
+0.00342968
+0.00455466
+0.00334024
+0.00194097
+0.001702
+0.00267429
+0.00393809
+0.00215262
+0.000650112
+-0.00118394
+-0.00269917
+-0.00156136
+-0.000582884
+0.00137785
+0.00300831
+0.00478633
+0.00674065
+0.00875892
+0.0107701
+0.0128401
+0.0149446
+0.0147518
+0.0141239
+0.0138118
+0.0131938
+0.0111677
+0.00912387
+0.00705784
+0.00509662
+0.00326704
+0.00174182
+0.000990924
+0.00061824
+-0.000463871
+0.00155398
+0.00342218
+0.00522402
+0.00713316
+0.00901423
+0.0109652
+0.0129928
+0.0149393
+0.0169178
+0.018943
+0.0205568
+0.0185387
+0.016543
+0.0145984
+0.0127236
+0.010911
+0.00912971
+0.00732439
+0.00556868
+0.00389707
+0.00223129
+0.000770451
+-0.00064302
+-0.00172251
+0.000410564
+0.00257465
+0.00460731
+0.0064731
+0.00816764
+0.0099087
+0.0117166
+0.0134605
+0.0138131
+0.0138468
+0.0141371
+0.0143639
+0.0148804
+0.0156578
+0.0166705
+0.0177969
+0.0178727
+0.0167547
+0.0158619
+0.0152342
+0.0148975
+0.0148133
+0.014876
+0.015136
+0.0156969
+0.0164789
+0.016788
+0.0161014
+0.0145006
+0.0126365
+0.010755
+0.00875904
+0.00688255
+0.00500053
+0.00302886
+0.00131989
+0.000355282
+-0.00138281
+-0.00178452
+-0.00182672
+-0.000448966
+0.000772399
+0.00199164
+0.00344654
+0.00247737
+0.000398982
+-0.000378607
+0.00118984
+0.00312129
+0.001109
+-0.000684548
+-0.00182102
+-0.000877018
+-0.000262278
+0.000947995
+0.00248568
+0.004291
+0.00605571
+0.00777766
+0.00966225
+0.0116544
+0.0136537
+0.0156495
+0.0155366
+0.0149958
+0.0147099
+0.0138547
+0.0118497
+0.00985201
+0.00793386
+0.00599924
+0.00422861
+0.00273339
+0.00165342
+0.00100934
+-0.000726849
+0.00062083
+0.00242964
+0.00423848
+0.00617121
+0.00815136
+0.0101356
+0.0121144
+0.01412
+0.0161417
+0.0182026
+0.0197766
+0.0177465
+0.0156887
+0.0136541
+0.0116518
+0.00971607
+0.00786288
+0.00606069
+0.00425844
+0.00253675
+0.000872884
+-0.000632765
+-0.00209209
+-0.0009024
+0.00100518
+0.0030615
+0.00515644
+0.00725562
+0.00907734
+0.0109421
+0.0127015
+0.0145553
+0.0147484
+0.0147968
+0.0151121
+0.0157215
+0.0162889
+0.01701
+0.0179533
+0.0190942
+0.0182404
+0.0172758
+0.016524
+0.0159602
+0.0156461
+0.0156357
+0.0159058
+0.0163955
+0.016962
+0.017716
+0.0178276
+0.0171673
+0.0155976
+0.0136418
+0.0117282
+0.00987939
+0.00792496
+0.00604908
+0.00440611
+0.00315095
+0.00167526
+0.000668627
+-6.63872e-05
+-0.000700855
+-0.00102041
+-0.00049123
+0.000805295
+0.00265715
+0.00195541
+2.53234e-05
+-0.00173281
+0.00022675
+0.00147834
+0.00073318
+-0.00139556
+-0.000657816
+0.000704951
+0.00153057
+0.00227022
+0.00369121
+0.00540232
+0.00721852
+0.00909195
+0.0108211
+0.0126318
+0.0145474
+0.0165314
+0.016413
+0.0158662
+0.0155894
+0.0139893
+0.0120189
+0.0100999
+0.0082906
+0.00657049
+0.0050471
+0.0035636
+0.00239535
+0.00143779
+-3.85654e-05
+-0.000344653
+0.00145421
+0.00333824
+0.00533528
+0.00731442
+0.0093191
+0.0113503
+0.013431
+0.0155298
+0.0176484
+0.0189515
+0.0169516
+0.0149256
+0.0129146
+0.0108334
+0.008785
+0.00677108
+0.00484798
+0.00301746
+0.00122888
+-0.000534055
+-0.00194476
+-0.0012376
+0.000310424
+0.00208204
+0.00395074
+0.00590565
+0.00790714
+0.00998698
+0.0118858
+0.0137426
+0.0156007
+0.0157138
+0.0158772
+0.0162846
+0.0168553
+0.0176774
+0.0185039
+0.0193928
+0.0195243
+0.0184989
+0.0176866
+0.0169797
+0.0165059
+0.0162599
+0.0163068
+0.0165996
+0.0171044
+0.0178244
+0.0187329
+0.0189814
+0.0180624
+0.0166049
+0.0147505
+0.0128139
+0.0109112
+0.00912168
+0.00749504
+0.00612301
+0.00475635
+0.0034194
+0.00285866
+0.00197355
+0.00138225
+-4.41918e-05
+-0.000700996
+0.000656496
+0.00156076
+0.000923975
+-0.000412909
+-0.00245705
+-0.00114915
+-0.000521787
+0.000306513
+-0.00107572
+0.000648482
+0.00232347
+0.00294426
+0.00420865
+0.00523342
+0.00673887
+0.00842614
+0.0101728
+0.012036
+0.0138837
+0.0156513
+0.0175107
+0.0174166
+0.0168829
+0.0163209
+0.0143526
+0.0124207
+0.0105351
+0.00877464
+0.00716079
+0.00572533
+0.00438902
+0.00295339
+0.00166344
+0.000123084
+-0.00129832
+0.000494469
+0.00243954
+0.00446153
+0.00656406
+0.00865941
+0.0107582
+0.0128753
+0.0149697
+0.0170341
+0.0181651
+0.016133
+0.0140925
+0.0120984
+0.0100997
+0.00808264
+0.0060332
+0.00396552
+0.00194177
+2.2163e-05
+-0.00181417
+-0.00166949
+4.55196e-05
+0.00166751
+0.00331027
+0.00507357
+0.00692508
+0.0088476
+0.0108033
+0.0127888
+0.0147994
+0.0166354
+0.016774
+0.0169761
+0.0174054
+0.0180844
+0.0188999
+0.0198795
+0.0209308
+0.0199472
+0.0189507
+0.0181587
+0.0176052
+0.0172277
+0.0169928
+0.0170377
+0.0173085
+0.0178453
+0.018613
+0.0195615
+0.0200009
+0.0189821
+0.017637
+0.0157958
+0.013945
+0.0122072
+0.0105891
+0.00916923
+0.00784585
+0.00643792
+0.00542689
+0.0046851
+0.00384865
+0.00281177
+0.0013928
+0.000402956
+0.000163045
+0.000674789
+-0.000549787
+-0.00126103
+-0.00295882
+-0.00174032
+-0.00120259
+-0.00136851
+-0.00126507
+0.00034412
+0.001628
+0.00350536
+0.00554015
+0.00706612
+0.00828473
+0.00981778
+0.0114872
+0.0131932
+0.0150013
+0.0169001
+0.0186965
+0.0183724
+0.0178302
+0.0168571
+0.0149459
+0.0130802
+0.0112605
+0.00956605
+0.00807648
+0.00642966
+0.00466921
+0.0030507
+0.00166544
+0.000145465
+-0.00163323
+-0.000303755
+0.00175462
+0.00386177
+0.00600028
+0.00807128
+0.0101203
+0.0122113
+0.0143201
+0.0164016
+0.017358
+0.015355
+0.0133638
+0.011321
+0.00927515
+0.00728479
+0.00529057
+0.00326581
+0.00130377
+-0.000496979
+-0.00144738
+-0.000329617
+0.00129219
+0.0030362
+0.00461388
+0.00630953
+0.00808256
+0.0099254
+0.0118043
+0.0137454
+0.0157015
+0.0176798
+0.0178725
+0.0181703
+0.0186241
+0.0193104
+0.0201484
+0.0211567
+0.021342
+0.0203537
+0.0195187
+0.0187668
+0.0182305
+0.0179412
+0.0178714
+0.0179294
+0.0182125
+0.0187234
+0.0194688
+0.0204022
+0.0210544
+0.0199615
+0.0186934
+0.017002
+0.0152978
+0.013685
+0.0122327
+0.0109197
+0.00948576
+0.00831268
+0.00753662
+0.00655164
+0.00583672
+0.00433422
+0.0030057
+0.0016489
+-0.00027261
+-0.00115227
+-0.00233022
+-0.00326498
+-0.00432536
+-0.0034255
+-0.00287491
+-0.00291659
+-0.00246115
+-0.000836413
+0.00109365
+0.00308368
+0.00504302
+0.00708558
+0.00900947
+0.0110333
+0.0129007
+0.0145562
+0.0162385
+0.0180113
+0.0198493
+0.0192116
+0.0187742
+0.0175941
+0.0157256
+0.0139408
+0.0122315
+0.0106064
+0.00873792
+0.00687125
+0.00500885
+0.00332492
+0.00165761
+0.000102018
+-0.00158936
+-0.000902147
+0.00118262
+0.00325789
+0.00532384
+0.00742631
+0.00948521
+0.0115574
+0.013659
+0.0157849
+0.0166013
+0.0146923
+0.0126543
+0.0106352
+0.0086433
+0.00661018
+0.00459646
+0.00265833
+0.000891306
+-0.000230882
+-0.000257233
+0.000908814
+0.00251372
+0.00424275
+0.00594155
+0.00758443
+0.00928618
+0.0111225
+0.0129263
+0.0147871
+0.0166947
+0.0186435
+0.0189438
+0.0193538
+0.0198714
+0.020582
+0.0214446
+0.0224374
+0.0217499
+0.020781
+0.0200059
+0.019385
+0.0189645
+0.0187572
+0.0187072
+0.018896
+0.0192628
+0.0197465
+0.0204546
+0.0213649
+0.0220334
+0.0209491
+0.0198579
+0.0182695
+0.0167247
+0.0152284
+0.0138626
+0.0125575
+0.011311
+0.0102976
+0.00931313
+0.00842837
+0.00737198
+0.00522944
+0.00308491
+0.00100693
+-0.000932293
+-0.00305224
+-0.00402748
+-0.00532085
+-0.00617567
+-0.00539602
+-0.00492673
+-0.00390154
+-0.00180697
+0.000257768
+0.00172088
+0.00352176
+0.00529778
+0.00724014
+0.0091416
+0.0111497
+0.0131575
+0.0151442
+0.0171806
+0.0191992
+0.0205318
+0.0199007
+0.019483
+0.0184926
+0.01671
+0.0149918
+0.0132
+0.0112509
+0.00938704
+0.00745913
+0.00552958
+0.00377396
+0.00199338
+0.000289651
+-0.00139018
+-0.00150589
+0.000543107
+0.00259087
+0.00467224
+0.00678972
+0.00890582
+0.010957
+0.0130536
+0.0151768
+0.0159418
+0.0139934
+0.0121069
+0.0101571
+0.00810914
+0.00613462
+0.00420355
+0.00237435
+0.00104761
+0.000513182
+0.000859553
+0.00201128
+0.00357357
+0.00536221
+0.00704048
+0.00881685
+0.0105565
+0.0122801
+0.0140993
+0.0159517
+0.0177902
+0.0196671
+0.0200898
+0.0205509
+0.0211676
+0.0218632
+0.0227352
+0.0233877
+0.022275
+0.0213299
+0.0205593
+0.0199703
+0.0196097
+0.0194536
+0.0195323
+0.0197861
+0.0202036
+0.0207664
+0.0215272
+0.022451
+0.0218488
+0.0210192
+0.020368
+0.0195427
+0.018085
+0.0166652
+0.015418
+0.0143144
+0.0132087
+0.0121586
+0.0110991
+0.00920395
+0.0071161
+0.00501986
+0.00285528
+0.000727091
+-0.00119901
+-0.0032725
+-0.00542549
+-0.00707609
+-0.00815138
+-0.00739991
+-0.00614306
+-0.00416206
+-0.00219012
+-2.32216e-05
+0.00190167
+0.00384413
+0.00562173
+0.00758149
+0.00947753
+0.0112685
+0.0131766
+0.0151145
+0.0170744
+0.0190846
+0.0211307
+0.020692
+0.020245
+0.0195507
+0.01781
+0.0158589
+0.0139263
+0.0119974
+0.0100874
+0.00808576
+0.0061604
+0.00441009
+0.00259984
+0.000914681
+-0.000670582
+-0.00137635
+-8.55737e-05
+0.00203746
+0.00408207
+0.00618159
+0.00828942
+0.0103631
+0.0124768
+0.0145831
+0.0154894
+0.013506
+0.0115868
+0.00974389
+0.00786583
+0.00595111
+0.00416673
+0.00266139
+0.0017217
+0.00133108
+0.00196976
+0.00316088
+0.00474806
+0.00642271
+0.0081625
+0.00987402
+0.0116598
+0.0134652
+0.0152765
+0.0170885
+0.0189344
+0.0207922
+0.0212819
+0.0217371
+0.0223815
+0.0232134
+0.0240766
+0.0239682
+0.0228837
+0.0219648
+0.0212173
+0.0206471
+0.0202985
+0.020141
+0.0202171
+0.020528
+0.021044
+0.0217193
+0.0224478
+0.0227812
+0.0218831
+0.0210334
+0.0203592
+0.0197201
+0.0188662
+0.0180687
+0.0170643
+0.0160687
+0.0150893
+0.0132562
+0.011066
+0.0088761
+0.00668665
+0.00449842
+0.00231482
+0.000230608
+-0.0015878
+-0.00366414
+-0.00577559
+-0.00793016
+-0.00999944
+-0.00802222
+-0.00613297
+-0.0040872
+-0.00209543
+-0.000367963
+0.00130149
+0.00321404
+0.00520766
+0.0073047
+0.00942722
+0.0115735
+0.0134226
+0.0152858
+0.0172263
+0.0189252
+0.0200123
+0.0211991
+0.0210036
+0.020537
+0.0185939
+0.0166511
+0.0147245
+0.0127831
+0.0108146
+0.00893764
+0.00713619
+0.00533671
+0.00362313
+0.00195603
+0.000569267
+-0.000603694
+-0.000622432
+0.00141653
+0.00350132
+0.00562482
+0.0076681
+0.00972566
+0.0118091
+0.0139248
+0.0153071
+0.0132966
+0.011342
+0.00949114
+0.00780928
+0.00609063
+0.00448036
+0.0031831
+0.00239395
+0.00239625
+0.00316908
+0.00433845
+0.00580307
+0.00749801
+0.00929154
+0.0110404
+0.0127466
+0.0145472
+0.0164031
+0.0182285
+0.0200822
+0.021849
+0.0224198
+0.0230434
+0.0236707
+0.0244588
+0.0254005
+0.0247014
+0.0236495
+0.0227551
+0.0220071
+0.0214537
+0.02111
+0.0209634
+0.0210365
+0.0213277
+0.0218226
+0.0225131
+0.0233761
+0.0230236
+0.0221142
+0.021252
+0.0205849
+0.0196719
+0.0186315
+0.0173211
+0.0161393
+0.0149985
+0.0140637
+0.0131926
+0.0112307
+0.00908052
+0.00694622
+0.00483176
+0.00283457
+0.00093331
+-0.00124974
+-0.00343367
+-0.00561756
+-0.00780269
+-0.00998999
+-0.0081928
+-0.00616117
+-0.00414127
+-0.00212623
+-0.000127919
+0.0019467
+0.00373522
+0.00554891
+0.00755783
+0.00962534
+0.0116075
+0.0134823
+0.0152818
+0.0163092
+0.0172834
+0.0184674
+0.0197941
+0.0212041
+0.0214056
+0.0194687
+0.0175351
+0.0155878
+0.0136926
+0.0118368
+0.00999258
+0.00824784
+0.00656882
+0.00489734
+0.00356857
+0.00193977
+0.000609621
+-0.00109375
+0.00078023
+0.00282956
+0.00492601
+0.00707236
+0.00918699
+0.0112681
+0.0133841
+0.0154367
+0.0134456
+0.0115163
+0.00969879
+0.00802515
+0.00649231
+0.00513228
+0.00397544
+0.00342731
+0.00360876
+0.0044305
+0.00552435
+0.00696747
+0.00857911
+0.0101809
+0.0119414
+0.0138254
+0.0156955
+0.0174936
+0.0193269
+0.0211667
+0.0228519
+0.0233982
+0.0241318
+0.0250124
+0.0258128
+0.0258617
+0.0247807
+0.0238504
+0.0230911
+0.0225201
+0.022152
+0.0219571
+0.0219593
+0.0220291
+0.0223125
+0.022786
+0.0234481
+0.024278
+0.0234396
+0.0225362
+0.0216906
+0.0207198
+0.019165
+0.0176709
+0.0163329
+0.0151287
+0.0139713
+0.0130074
+0.0120763
+0.0109402
+0.00884511
+0.00674095
+0.00465088
+0.00264248
+0.000603518
+-0.00154334
+-0.00366002
+-0.00581064
+-0.00798306
+-0.0101633
+-0.00867023
+-0.0066427
+-0.00467303
+-0.00274247
+-0.000647157
+0.00103936
+0.00298604
+0.00491047
+0.00680004
+0.00877541
+0.010482
+0.0123043
+0.0138713
+0.0147017
+0.0157756
+0.0170644
+0.0184782
+0.0199894
+0.0215511
+0.0203664
+0.0184708
+0.0166017
+0.0147483
+0.0129355
+0.0112055
+0.00949838
+0.00789155
+0.00647052
+0.00474919
+0.00298091
+0.00165588
+-0.000394415
+0.0001491
+0.00224577
+0.00436101
+0.00649641
+0.00865088
+0.0106986
+0.0127873
+0.0157509
+0.0139305
+0.012056
+0.0103071
+0.00863828
+0.00713366
+0.00596057
+0.00514904
+0.00461453
+0.00484496
+0.0057401
+0.00674356
+0.00804883
+0.00960703
+0.011354
+0.0130068
+0.0147553
+0.016609
+0.0185364
+0.0204635
+0.0222908
+0.0240078
+0.0245285
+0.0252292
+0.0260867
+0.0270687
+0.0260536
+0.0249791
+0.0240565
+0.0233039
+0.0227382
+0.0223737
+0.0221807
+0.022201
+0.0224361
+0.0228795
+0.0235064
+0.0242842
+0.0250528
+0.0240383
+0.0228489
+0.0211712
+0.019595
+0.0180855
+0.0165913
+0.0152651
+0.0140187
+0.0129062
+0.0118792
+0.0109742
+0.0103513
+0.00825019
+0.00620339
+0.00407651
+0.00197759
+-0.000146085
+-0.0021285
+-0.00409
+-0.00616185
+-0.00824838
+-0.0103729
+-0.00934395
+-0.00743959
+-0.00551567
+-0.00363595
+-0.00173128
+0.000213289
+0.00210466
+0.00395998
+0.00579966
+0.00753642
+0.00940497
+0.0113878
+0.0123354
+0.0132623
+0.0144436
+0.0158368
+0.0172921
+0.0187913
+0.0204159
+0.0209996
+0.0191016
+0.0172731
+0.0155304
+0.0138897
+0.0122636
+0.0107921
+0.00945749
+0.00770747
+0.00598104
+0.00434315
+0.00230731
+0.000214246
+-0.000439815
+0.00168088
+0.00378118
+0.00588131
+0.00794889
+0.00997042
+0.0120503
+0.0157179
+0.014014
+0.0124122
+0.0109711
+0.00957016
+0.0081901
+0.00711124
+0.00648947
+0.00609109
+0.00625247
+0.00703091
+0.00812062
+0.0093688
+0.0107597
+0.0123842
+0.0141343
+0.0159341
+0.0176645
+0.0194878
+0.0213802
+0.0233248
+0.0252485
+0.0257711
+0.0264389
+0.0272669
+0.027584
+0.0264246
+0.0253658
+0.0244578
+0.023718
+0.0231624
+0.0228047
+0.0226154
+0.0226352
+0.0228659
+0.0233012
+0.0239052
+0.0246757
+0.025611
+0.0238212
+0.0219999
+0.0202519
+0.0185979
+0.0170653
+0.0155808
+0.0141602
+0.0129286
+0.0117983
+0.0108013
+0.00991294
+0.00911876
+0.00781315
+0.005643
+0.00348608
+0.00136551
+-0.000597137
+-0.00262153
+-0.00474283
+-0.00690668
+-0.00894968
+-0.0110011
+-0.0102222
+-0.00837773
+-0.00640501
+-0.00448811
+-0.00249567
+-0.000730274
+0.00109467
+0.00292067
+0.00471749
+0.00668645
+0.00869729
+0.0102934
+0.0110156
+0.0119837
+0.013209
+0.0146593
+0.0161535
+0.0177492
+0.019461
+0.0212608
+0.019883
+0.0180923
+0.0163678
+0.0147232
+0.0130515
+0.0115316
+0.0102
+0.00896653
+0.00717535
+0.00503678
+0.00294174
+0.000871542
+-0.00103821
+0.00100213
+0.00306039
+0.00513883
+0.00725458
+0.00930031
+0.0114
+0.0157782
+0.0141331
+0.0126481
+0.0113441
+0.0102247
+0.00935104
+0.00858765
+0.00800188
+0.00777011
+0.00793799
+0.00856232
+0.0095561
+0.0107621
+0.0121444
+0.0136045
+0.0152374
+0.0169663
+0.0187817
+0.0205946
+0.0224251
+0.0242862
+0.0261958
+0.0271201
+0.0277551
+0.0285445
+0.0281059
+0.0269578
+0.0259208
+0.0250329
+0.0243106
+0.0237689
+0.0234093
+0.0232459
+0.0232652
+0.0234892
+0.0239055
+0.0244937
+0.0252463
+0.02514
+0.0232157
+0.0213428
+0.0195361
+0.0178158
+0.0161938
+0.0147139
+0.0133026
+0.0119662
+0.0108998
+0.00987255
+0.00889187
+0.00811223
+0.00731185
+0.00524563
+0.00310083
+0.000910412
+-0.00126768
+-0.00328655
+-0.00540741
+-0.00748972
+-0.00954646
+-0.011642
+-0.0111184
+-0.00920886
+-0.0073066
+-0.00543832
+-0.00361133
+-0.00184239
+2.09551e-05
+0.00201757
+0.00402167
+0.00593618
+0.0077308
+0.00904205
+0.00964838
+0.0106781
+0.0120229
+0.0134588
+0.0149705
+0.0166251
+0.0183678
+0.0201889
+0.0206455
+0.0188502
+0.0171469
+0.0154393
+0.0137913
+0.0123068
+0.0110078
+0.00981152
+0.00780964
+0.00576199
+0.00361983
+0.00151777
+-0.000529961
+0.000275469
+0.00236918
+0.00450567
+0.00666857
+0.00883469
+0.0110099
+0.0160004
+0.0144161
+0.0129968
+0.0117508
+0.0107633
+0.0100968
+0.00974081
+0.00966684
+0.00952913
+0.00970989
+0.0102714
+0.0111507
+0.0122608
+0.0135735
+0.0150248
+0.0165137
+0.0181455
+0.0198777
+0.0216708
+0.0234812
+0.0253164
+0.027198
+0.0285483
+0.0291522
+0.0299048
+0.0287813
+0.0276392
+0.0266287
+0.0257653
+0.0250641
+0.0245335
+0.0241827
+0.0240233
+0.0240419
+0.0242592
+0.0246634
+0.0252509
+0.0259896
+0.0246291
+0.0227154
+0.0208052
+0.0189419
+0.0171442
+0.0154458
+0.013886
+0.0124645
+0.0111782
+0.00993594
+0.00886579
+0.00812304
+0.00731925
+0.00692924
+0.00483918
+0.00265872
+0.000477773
+-0.00164678
+-0.00369312
+-0.00579256
+-0.00793957
+-0.0101054
+-0.0122276
+-0.0120759
+-0.0101943
+-0.00844684
+-0.00656132
+-0.00484012
+-0.00271903
+-0.000640488
+0.0012701
+0.00318391
+0.00499716
+0.00694731
+0.00740558
+0.00814724
+0.00926051
+0.0105604
+0.0120741
+0.0137215
+0.0154695
+0.0173183
+0.0192391
+0.0212052
+0.0197369
+0.0179448
+0.0162481
+0.0146488
+0.0131343
+0.011792
+0.0105391
+0.00845914
+0.00644106
+0.0043325
+0.00222341
+0.000115734
+-0.000135097
+0.00204975
+0.00423478
+0.00642225
+0.00861098
+0.0108002
+0.0163818
+0.0148827
+0.013546
+0.0124137
+0.0115493
+0.0109616
+0.0107338
+0.010884
+0.0112981
+0.011585
+0.0120657
+0.0128373
+0.0138668
+0.0150904
+0.016433
+0.0178882
+0.0194777
+0.0211067
+0.0228185
+0.0246052
+0.0263976
+0.0282147
+0.0300277
+0.030627
+0.0308067
+0.0295832
+0.0284733
+0.0274935
+0.026658
+0.0259805
+0.0254618
+0.0251239
+0.0249691
+0.024987
+0.0251962
+0.0255869
+0.0261537
+0.0261971
+0.0241999
+0.0221896
+0.0202168
+0.0182936
+0.0164252
+0.0146436
+0.0129878
+0.0114993
+0.0102371
+0.00893482
+0.00786013
+0.00727177
+0.00662401
+0.00623903
+0.00454182
+0.00249616
+0.000350517
+-0.00179019
+-0.00387453
+-0.00601552
+-0.00812197
+-0.0100991
+-0.0121381
+-0.0131779
+-0.0114085
+-0.00953024
+-0.00750552
+-0.00549605
+-0.00341279
+-0.00134484
+0.000622474
+0.00240306
+0.00413851
+0.00524471
+0.00567536
+0.00657438
+0.00779103
+0.00927468
+0.0109091
+0.0126661
+0.0145414
+0.0164946
+0.0184765
+0.0204928
+0.0204401
+0.0186223
+0.0168881
+0.0152713
+0.0137728
+0.0124802
+0.0112352
+0.0090862
+0.00696318
+0.00490011
+0.00293872
+0.00112892
+0.000198324
+0.00200191
+0.00415218
+0.00631465
+0.00849161
+0.0106721
+0.0168432
+0.0154664
+0.0142328
+0.0132156
+0.01243
+0.0119518
+0.0118138
+0.0119749
+0.0125225
+0.0132161
+0.0138802
+0.0146074
+0.0155216
+0.0166406
+0.0179424
+0.0192946
+0.0207804
+0.0223823
+0.024077
+0.0257904
+0.0275587
+0.0293512
+0.0311501
+0.0321626
+0.0317072
+0.0305174
+0.0294427
+0.0284963
+0.0276911
+0.0270369
+0.0265388
+0.0262148
+0.0260651
+0.0260823
+0.0262828
+0.0266588
+0.0272034
+0.0259276
+0.0238688
+0.0218358
+0.0198363
+0.0178817
+0.0159765
+0.0141385
+0.0124155
+0.0108487
+0.00950044
+0.0083068
+0.00718239
+0.00629804
+0.00599644
+0.00584793
+0.00448198
+0.00242435
+0.000436349
+-0.00152799
+-0.00350805
+-0.00554655
+-0.00757216
+-0.00942987
+-0.0111337
+-0.01258
+-0.0123259
+-0.0102576
+-0.00822434
+-0.00621543
+-0.00413937
+-0.00203833
+7.22215e-05
+0.00185559
+0.00351459
+0.00345778
+0.00399497
+0.00501
+0.00648327
+0.008208
+0.0100139
+0.0119087
+0.0138724
+0.0158693
+0.0178491
+0.0198708
+0.0209452
+0.0191593
+0.0174602
+0.015863
+0.0144224
+0.0131617
+0.0117338
+0.00969588
+0.00770263
+0.00581389
+0.00399121
+0.00248476
+0.00169884
+0.00262301
+0.00446476
+0.00649213
+0.00859999
+0.010741
+0.0174569
+0.0161326
+0.0149974
+0.014055
+0.0133474
+0.012975
+0.0128929
+0.0131112
+0.0136447
+0.014433
+0.015431
+0.0164297
+0.0172944
+0.0183141
+0.0195122
+0.02083
+0.0222198
+0.0237247
+0.0253297
+0.0270071
+0.0287515
+0.0305407
+0.0323301
+0.0337611
+0.0327254
+0.031574
+0.0305365
+0.029625
+0.0288514
+0.0282241
+0.0277473
+0.0274376
+0.0272933
+0.0273097
+0.0275012
+0.0278621
+0.0278847
+0.0257961
+0.023726
+0.0216795
+0.0196642
+0.0176906
+0.0157744
+0.0139393
+0.012185
+0.0105731
+0.00915964
+0.00780395
+0.00643918
+0.00551147
+0.0051994
+0.00563545
+0.00483614
+0.00295998
+0.00137445
+-0.000735017
+-0.00282096
+-0.00476392
+-0.00665983
+-0.00837758
+-0.00972375
+-0.0112838
+-0.0128124
+-0.0108159
+-0.00889049
+-0.00682396
+-0.00466171
+-0.00253252
+-0.000460019
+0.00149782
+0.00202554
+0.00192197
+0.00269199
+0.00388499
+0.00555628
+0.00744858
+0.00940871
+0.0113373
+0.0133044
+0.015301
+0.017344
+0.0193806
+0.0214264
+0.019795
+0.0181494
+0.0166036
+0.0149299
+0.0133742
+0.0119708
+0.0103454
+0.00849129
+0.00666779
+0.00500836
+0.00370301
+0.00315952
+0.00371671
+0.00514985
+0.00698321
+0.00897819
+0.0110348
+0.0182705
+0.0170096
+0.0159511
+0.0150397
+0.0143803
+0.0140353
+0.0139776
+0.0142446
+0.0148339
+0.0156554
+0.0166752
+0.0178446
+0.0189656
+0.0200794
+0.0211916
+0.0224263
+0.0237706
+0.0251864
+0.0267036
+0.0282998
+0.029969
+0.0317017
+0.0334882
+0.0350682
+0.0338549
+0.0327432
+0.031744
+0.0308682
+0.0301265
+0.0295263
+0.0290708
+0.0287754
+0.0286366
+0.0286523
+0.0288349
+0.0291805
+0.0279348
+0.0258503
+0.0237849
+0.021744
+0.0197352
+0.0177695
+0.0158629
+0.0140394
+0.0122994
+0.0107047
+0.00921092
+0.00774562
+0.00636802
+0.00543554
+0.00513768
+0.00555998
+0.00585639
+0.00395777
+0.00197919
+-4.90949e-05
+-0.002017
+-0.00371607
+-0.00553409
+-0.00705667
+-0.00851518
+-0.00995228
+-0.0112348
+-0.0104214
+-0.00923583
+-0.00725153
+-0.00515301
+-0.00307298
+-0.000919346
+0.00123658
+0.000811817
+0.0011976
+0.00211217
+0.00334752
+0.00509134
+0.00703219
+0.00890976
+0.0108566
+0.0128806
+0.0149253
+0.0169616
+0.0190184
+0.0210994
+0.0201133
+0.0182553
+0.016467
+0.0147297
+0.013107
+0.01163
+0.0103675
+0.00893335
+0.00733677
+0.00589136
+0.00480875
+0.00438982
+0.00487634
+0.0060949
+0.00775339
+0.0095784
+0.0115264
+0.0192886
+0.0180988
+0.0170736
+0.0162089
+0.0155989
+0.0152815
+0.0152375
+0.0154828
+0.0160266
+0.0168399
+0.0178861
+0.019085
+0.0203391
+0.0215654
+0.0229115
+0.0240897
+0.025351
+0.0267236
+0.0281754
+0.0296979
+0.0312926
+0.0329558
+0.0346777
+0.0362571
+0.0350849
+0.0340135
+0.0330527
+0.0322125
+0.0315024
+0.0309289
+0.0304945
+0.030213
+0.0300796
+0.0300946
+0.0302684
+0.0302402
+0.0281559
+0.026089
+0.0240441
+0.0220272
+0.0200469
+0.018115
+0.016249
+0.0144742
+0.0127935
+0.0112582
+0.00976633
+0.00828769
+0.00701701
+0.00613332
+0.0058751
+0.00626571
+0.00686782
+0.00482049
+0.00276494
+0.000769343
+-0.000999956
+-0.00257242
+-0.00406795
+-0.00569353
+-0.00724462
+-0.008592
+-0.0092902
+-0.00852866
+-0.00770193
+-0.00660614
+-0.00491866
+-0.00292716
+-0.000788347
+0.00131021
+0.000962757
+0.00118091
+0.00214887
+0.00360514
+0.00521613
+0.00690696
+0.00877283
+0.0107429
+0.0127343
+0.0147414
+0.0167944
+0.0188785
+0.0209842
+0.0199879
+0.0180859
+0.0162479
+0.0144948
+0.012839
+0.0112869
+0.00989227
+0.00870178
+0.00753224
+0.00608795
+0.00501809
+0.00468077
+0.00523213
+0.00644408
+0.00806208
+0.00990286
+0.0118631
+0.0204763
+0.019349
+0.0183751
+0.0175744
+0.0170135
+0.016723
+0.0166827
+0.0169071
+0.0174064
+0.0181581
+0.0191324
+0.0202972
+0.0216218
+0.0229273
+0.0242824
+0.0256697
+0.0270119
+0.0283072
+0.0297012
+0.0311683
+0.0327096
+0.0343042
+0.0359616
+0.0375363
+0.0364054
+0.035374
+0.0344511
+0.0336458
+0.0329667
+0.0324191
+0.0320049
+0.0317368
+0.0316087
+0.0316229
+0.0317885
+0.0306017
+0.0285438
+0.0265072
+0.0244972
+0.022521
+0.0205882
+0.0187123
+0.0169123
+0.0152151
+0.0135725
+0.0118377
+0.0102786
+0.00892589
+0.00782451
+0.00709798
+0.00687584
+0.00700327
+0.00757738
+0.00566507
+0.00381758
+0.00192739
+0.000104956
+-0.00120936
+-0.00268034
+-0.00419319
+-0.00590314
+-0.00721983
+-0.00738049
+-0.00654911
+-0.00596126
+-0.00502465
+-0.00369469
+-0.00243494
+-0.000825804
+0.00133453
+0.00155226
+0.00170932
+0.00268585
+0.00410613
+0.0057076
+0.00727023
+0.00904373
+0.0109479
+0.0128683
+0.0148573
+0.0168963
+0.0189692
+0.0210659
+0.0199354
+0.0179849
+0.0160964
+0.0142943
+0.0125555
+0.0108542
+0.00928816
+0.0079872
+0.00699263
+0.00604362
+0.00538218
+0.00521453
+0.00583935
+0.00702317
+0.00861103
+0.0104198
+0.0123123
+0.0218173
+0.0207392
+0.0198337
+0.0190943
+0.0185793
+0.0183136
+0.0182769
+0.0184819
+0.0189398
+0.0196328
+0.0205373
+0.0216266
+0.0228743
+0.0242426
+0.0256186
+0.0270566
+0.0284962
+0.0299644
+0.0312898
+0.0327012
+0.0341799
+0.0357299
+0.0373299
+0.038897
+0.0378067
+0.0368146
+0.0359288
+0.0351573
+0.034508
+0.0339852
+0.0335903
+0.0333349
+0.033212
+0.0332256
+0.0331568
+0.0311136
+0.029092
+0.0270966
+0.0251338
+0.0232118
+0.0213417
+0.0195383
+0.0176879
+0.015818
+0.014008
+0.0123128
+0.0107654
+0.00946844
+0.00852165
+0.00793934
+0.00772268
+0.0079408
+0.00849328
+0.00679966
+0.00488893
+0.00305091
+0.00122804
+-0.000130704
+-0.00116945
+-0.00284668
+-0.00455945
+-0.00593761
+-0.00548042
+-0.00467325
+-0.004195
+-0.00320291
+-0.00207874
+-0.00130401
+0.000277636
+0.00210352
+0.00234984
+0.00251753
+0.00342998
+0.00482296
+0.00608304
+0.00764831
+0.00937185
+0.0112588
+0.0132049
+0.0152113
+0.0172625
+0.0193096
+0.0213729
+0.0199531
+0.0179788
+0.0160483
+0.0141386
+0.01229
+0.0105623
+0.00889047
+0.00743115
+0.00614983
+0.00515667
+0.00467592
+0.00486614
+0.00569669
+0.00688391
+0.00823689
+0.00983366
+0.0115937
+0.0232665
+0.0222561
+0.0214131
+0.0207259
+0.0202524
+0.0200089
+0.0199843
+0.020172
+0.0205923
+0.0212315
+0.0220705
+0.0230876
+0.0242604
+0.0255545
+0.0269523
+0.0283724
+0.0298579
+0.0313711
+0.0328941
+0.0342929
+0.0357179
+0.0372057
+0.0387589
+0.0403308
+0.0392803
+0.0383263
+0.0374763
+0.0367374
+0.0361164
+0.0356173
+0.0352406
+0.0349973
+0.0348793
+0.0348921
+0.0337722
+0.0317687
+0.0297916
+0.0278464
+0.0259404
+0.0240473
+0.0220723
+0.020142
+0.0182531
+0.0164122
+0.0146677
+0.0130582
+0.011608
+0.0104166
+0.00956906
+0.00902857
+0.00885998
+0.0091299
+0.00953505
+0.00776862
+0.00606229
+0.00425425
+0.00255844
+0.00103303
+-5.79779e-06
+-0.00151538
+-0.00306332
+-0.00378858
+-0.00348222
+-0.00288147
+-0.00254554
+-0.00140733
+-0.000333984
+0.000133631
+0.0015583
+0.00328535
+0.00322857
+0.00340161
+0.00414614
+0.00540407
+0.00681336
+0.00831965
+0.00997009
+0.0117615
+0.0136331
+0.0155844
+0.0175922
+0.0196391
+0.0217141
+0.019881
+0.0178756
+0.0159193
+0.0139947
+0.0121236
+0.0103287
+0.00865062
+0.00707788
+0.00564641
+0.00463166
+0.00423569
+0.00456909
+0.00511922
+0.00610141
+0.00751276
+0.00918228
+0.0110274
+0.0248245
+0.023873
+0.0230708
+0.0224335
+0.0219969
+0.0217729
+0.0217682
+0.0219508
+0.0223377
+0.0229283
+0.0237073
+0.0246569
+0.0257584
+0.0269808
+0.0283082
+0.0297379
+0.03119
+0.0326952
+0.0342694
+0.0358188
+0.0373116
+0.0387475
+0.0402425
+0.0417981
+0.0408183
+0.0399011
+0.0390854
+0.0383774
+0.0377834
+0.0373066
+0.0369472
+0.0367152
+0.0365148
+0.0352185
+0.034014
+0.0324757
+0.0305612
+0.0286107
+0.0266265
+0.0246707
+0.0227499
+0.0208591
+0.0190182
+0.017259
+0.0155936
+0.0140614
+0.0127233
+0.0116465
+0.0108713
+0.0104161
+0.0102703
+0.0104378
+0.0106398
+0.00895466
+0.00732317
+0.0055885
+0.00398356
+0.00247284
+0.00105828
+-0.000111299
+-0.00141768
+-0.00167262
+-0.00150181
+-0.00145711
+-0.000841097
+0.000297976
+0.00095824
+0.00160314
+0.00301451
+0.00460736
+0.00422737
+0.00439258
+0.00504666
+0.00615277
+0.00739922
+0.0088625
+0.010536
+0.0123652
+0.0142663
+0.0162341
+0.0181817
+0.0201689
+0.0219638
+0.0199246
+0.0179212
+0.0159513
+0.0140329
+0.0122065
+0.010481
+0.00881762
+0.00719231
+0.00568502
+0.00449991
+0.00377864
+0.00393763
+0.0045986
+0.00565297
+0.00711058
+0.00878788
+0.0106437
+0.0264658
+0.0255748
+0.0248105
+0.024219
+0.0238151
+0.0236084
+0.0236041
+0.0237779
+0.0241355
+0.0246831
+0.0254084
+0.0262967
+0.0273321
+0.0284986
+0.0297637
+0.0311267
+0.03258
+0.0340563
+0.0355761
+0.0371611
+0.0387611
+0.0403423
+0.0417871
+0.043288
+0.0424033
+0.0415211
+0.0407378
+0.0400591
+0.0394904
+0.0390365
+0.0383274
+0.0368492
+0.0354449
+0.034108
+0.0328628
+0.0317203
+0.0306917
+0.0293007
+0.0273515
+0.0254289
+0.0235508
+0.0217172
+0.0199553
+0.0182857
+0.0167271
+0.0153087
+0.0140766
+0.0130806
+0.0123952
+0.0120313
+0.0118124
+0.011921
+0.0118736
+0.0102549
+0.0086482
+0.00704434
+0.00544455
+0.00382276
+0.00248431
+0.00131486
+0.000422546
+0.000230948
+2.88779e-05
+4.13218e-05
+0.000913191
+0.00197215
+0.00227174
+0.00316389
+0.00448015
+0.00542612
+0.00531192
+0.00568587
+0.00617317
+0.00699396
+0.00808991
+0.00952621
+0.0111902
+0.0129646
+0.0148506
+0.0167764
+0.0187422
+0.0207531
+0.0221546
+0.0201347
+0.0181545
+0.0162127
+0.0143241
+0.0124628
+0.0107044
+0.00907039
+0.00745408
+0.0058023
+0.00449448
+0.00371872
+0.0038874
+0.00451069
+0.00552203
+0.00702842
+0.00878722
+0.0106724
+0.028182
+0.0273323
+0.0266169
+0.0260664
+0.0256916
+0.0255001
+0.0254961
+0.0256601
+0.0259918
+0.0265011
+0.0271779
+0.0280101
+0.0289844
+0.0300869
+0.0313041
+0.0326036
+0.0339939
+0.035465
+0.03696
+0.0384907
+0.0400802
+0.0417241
+0.0433196
+0.0448347
+0.0440363
+0.0431875
+0.0424349
+0.0417838
+0.0406352
+0.0389988
+0.037419
+0.0359035
+0.0344607
+0.0331
+0.031821
+0.0306396
+0.0295735
+0.0283435
+0.0270132
+0.0258006
+0.0244693
+0.0227139
+0.0210332
+0.0194544
+0.0179942
+0.016684
+0.0155611
+0.0146663
+0.0140567
+0.0136889
+0.0134786
+0.0135765
+0.0132144
+0.011597
+0.0101003
+0.00845905
+0.00682667
+0.00542882
+0.00403946
+0.00282453
+0.00206139
+0.00160321
+0.00171459
+0.00216792
+0.00284286
+0.00327863
+0.0039472
+0.00483954
+0.00605891
+0.00632665
+0.00624978
+0.00681105
+0.00725653
+0.00805472
+0.00916603
+0.0104898
+0.012039
+0.01375
+0.0155647
+0.0174446
+0.0193844
+0.0213727
+0.0225516
+0.0205604
+0.0185675
+0.0166165
+0.0146904
+0.0128477
+0.0110569
+0.00938936
+0.00780741
+0.00627193
+0.00487656
+0.00391921
+0.00374016
+0.00429598
+0.00536499
+0.00693989
+0.0087829
+0.0107162
+0.0299599
+0.0291471
+0.0284773
+0.0279635
+0.0276144
+0.0274363
+0.0274326
+0.0275878
+0.0278967
+0.0283718
+0.029005
+0.0297862
+0.0307041
+0.031747
+0.0329028
+0.0341572
+0.0354867
+0.0368984
+0.0383833
+0.039893
+0.0414319
+0.0430243
+0.0446674
+0.0463035
+0.045716
+0.044899
+0.0433706
+0.0416134
+0.0398992
+0.0382321
+0.0366193
+0.0350693
+0.0335906
+0.0321932
+0.0308881
+0.0296815
+0.0285797
+0.0272028
+0.0258138
+0.024542
+0.0234065
+0.0224281
+0.0216124
+0.0207793
+0.0194099
+0.0182018
+0.0171891
+0.0163909
+0.0158222
+0.0154545
+0.0152533
+0.0153472
+0.0145751
+0.0130244
+0.011516
+0.00988888
+0.00844852
+0.00700768
+0.00567582
+0.00465199
+0.00385024
+0.00350168
+0.00371722
+0.00426227
+0.00460604
+0.00496308
+0.00571228
+0.00664223
+0.00774921
+0.00734044
+0.00736415
+0.00786126
+0.0086327
+0.0093268
+0.010358
+0.0116439
+0.0130853
+0.0146724
+0.0163788
+0.0181788
+0.0200475
+0.0219758
+0.0230437
+0.0210516
+0.0190744
+0.0171148
+0.0152183
+0.0134064
+0.0116577
+0.00996286
+0.00818319
+0.00645277
+0.00492014
+0.00391001
+0.00355088
+0.0038259
+0.00488814
+0.00646195
+0.00831902
+0.0102902
+0.031778
+0.0310104
+0.0303817
+0.0299006
+0.0295744
+0.0294083
+0.0294048
+0.0295523
+0.0298408
+0.0302854
+0.0308793
+0.0316143
+0.0324806
+0.0334681
+0.0345665
+0.0357654
+0.037049
+0.0384033
+0.0398321
+0.0413277
+0.0428492
+0.0443944
+0.0459886
+0.0476302
+0.0464587
+0.0446082
+0.0427897
+0.0410076
+0.039267
+0.0375734
+0.0359336
+0.0343547
+0.0328439
+0.0314133
+0.0300743
+0.0288398
+0.0277237
+0.026196
+0.0247505
+0.0234211
+0.0222284
+0.0211957
+0.0203293
+0.0196412
+0.01918
+0.0189623
+0.0189155
+0.018178
+0.0176616
+0.0173016
+0.0171146
+0.0171983
+0.016014
+0.0144935
+0.0129681
+0.0115032
+0.0100439
+0.00866529
+0.00748548
+0.00652959
+0.00584803
+0.00557633
+0.00579673
+0.00625681
+0.00645788
+0.00682668
+0.00756489
+0.00846426
+0.00878087
+0.00836963
+0.00845542
+0.00900349
+0.00984893
+0.0106153
+0.0116528
+0.0129317
+0.0142818
+0.0157667
+0.0173675
+0.0190649
+0.0208544
+0.0227143
+0.0236358
+0.0216459
+0.0196985
+0.0177923
+0.0159542
+0.0142008
+0.0122994
+0.0104339
+0.00852437
+0.0066602
+0.00500171
+0.00376767
+0.00314248
+0.00328914
+0.00431965
+0.00594856
+0.00783251
+0.00980779
+0.0336383
+0.0329141
+0.0323224
+0.0318707
+0.0315649
+0.0314092
+0.0314059
+0.0315465
+0.0318169
+0.0322343
+0.032793
+0.033486
+0.0343051
+0.0352415
+0.0362862
+0.03743
+0.0386643
+0.0399716
+0.0413463
+0.042789
+0.0442931
+0.0458206
+0.0473672
+0.0479175
+0.0460213
+0.0441524
+0.0423143
+0.0405114
+0.0387484
+0.0370311
+0.0353662
+0.0337614
+0.0322243
+0.0307649
+0.0293964
+0.0281322
+0.0269314
+0.025339
+0.0238416
+0.0224584
+0.0212117
+0.0201269
+0.019211
+0.0184813
+0.0179904
+0.0177581
+0.01779
+0.018042
+0.0172914
+0.016713
+0.0163977
+0.016334
+0.0165437
+0.0160044
+0.0145635
+0.0131092
+0.0116852
+0.010431
+0.00940478
+0.00847654
+0.00793569
+0.00770279
+0.00792012
+0.00818673
+0.00838274
+0.00877956
+0.00944022
+0.0102992
+0.00960219
+0.00936569
+0.00954825
+0.0101067
+0.0108648
+0.0119463
+0.0129397
+0.0140963
+0.0154157
+0.0168484
+0.0184272
+0.0201209
+0.0218511
+0.0236328
+0.0243067
+0.0223769
+0.0204926
+0.0186597
+0.016828
+0.0147897
+0.01273
+0.0107224
+0.00876478
+0.00678406
+0.00497142
+0.0035448
+0.00282926
+0.00288151
+0.00394621
+0.0056275
+0.00753711
+0.00956792
+0.0355362
+0.0348515
+0.0342933
+0.0338679
+0.0335802
+0.0334339
+0.0334309
+0.0335653
+0.0338195
+0.0342125
+0.0347394
+0.0353943
+0.0361702
+0.0370595
+0.0380543
+0.0391465
+0.0403283
+0.041592
+0.0429189
+0.0443105
+0.0457646
+0.0472756
+0.0488034
+0.0475945
+0.0456849
+0.0438016
+0.0419482
+0.0401288
+0.0383482
+0.0366121
+0.0349272
+0.0333013
+0.0317419
+0.0302592
+0.0288668
+0.0275783
+0.0262674
+0.0246313
+0.0230873
+0.0216552
+0.0203585
+0.0192247
+0.0182829
+0.0175163
+0.0169975
+0.0167513
+0.0167756
+0.0170427
+0.0163182
+0.0157238
+0.0153882
+0.0153026
+0.0155263
+0.0160487
+0.0161339
+0.0145246
+0.0130711
+0.0118467
+0.0109241
+0.0103594
+0.0100516
+0.00985742
+0.0100491
+0.010221
+0.0104132
+0.0108236
+0.010977
+0.0102124
+0.0098188
+0.00978226
+0.0102256
+0.0110561
+0.0120508
+0.0130355
+0.0141932
+0.0152977
+0.0165833
+0.0180298
+0.0195695
+0.0211721
+0.0228605
+0.0246198
+0.0251381
+0.0232586
+0.0214383
+0.0193538
+0.0172289
+0.0150931
+0.0129709
+0.0108692
+0.00881108
+0.00683583
+0.00504184
+0.00360064
+0.00298571
+0.0031912
+0.00425705
+0.00593789
+0.00782476
+0.00979613
+0.0374661
+0.0368173
+0.0362894
+0.0358876
+0.0356163
+0.0354784
+0.0354755
+0.0356043
+0.0358441
+0.0362151
+0.0367133
+0.0373336
+0.03807
+0.0389159
+0.0398644
+0.0409084
+0.0420406
+0.0432543
+0.0445427
+0.0458861
+0.0472918
+0.0487554
+0.0493123
+0.0473706
+0.0454516
+0.0435582
+0.041694
+0.039863
+0.03807
+0.0363207
+0.0346216
+0.0329806
+0.0314052
+0.0299059
+0.0284962
+0.0271902
+0.0257517
+0.0240806
+0.0224989
+0.0210267
+0.0196886
+0.0185138
+0.0175341
+0.0167335
+0.0161895
+0.0159308
+0.015956
+0.0162366
+0.0155853
+0.0149314
+0.0145775
+0.0145009
+0.0147367
+0.0152861
+0.0161064
+0.0158499
+0.0145297
+0.0134389
+0.0126231
+0.0121377
+0.0120078
+0.0120251
+0.0121436
+0.0123009
+0.0120802
+0.0105899
+0.0093447
+0.00843299
+0.00800523
+0.00807546
+0.00871439
+0.00976258
+0.0110907
+0.0123775
+0.0138924
+0.015569
+0.0173241
+0.0190871
+0.0206241
+0.0222609
+0.0239668
+0.0256736
+0.0260624
+0.0239128
+0.0217714
+0.0196409
+0.0175253
+0.0154306
+0.0133621
+0.0113332
+0.00937746
+0.00755183
+0.00588104
+0.00462742
+0.00410416
+0.00430737
+0.0052651
+0.006726
+0.00849917
+0.0104017
+0.0394233
+0.0388073
+0.0383067
+0.0379263
+0.0376697
+0.0375394
+0.0375366
+0.0376603
+0.0378872
+0.0382384
+0.0387105
+0.0392993
+0.0399995
+0.0408055
+0.0417111
+0.0427099
+0.0437956
+0.0449619
+0.0462027
+0.0475105
+0.0488695
+0.0502872
+0.0491939
+0.0472474
+0.0453232
+0.0434242
+0.041554
+0.0397165
+0.0379166
+0.0361598
+0.0344528
+0.0328033
+0.0312191
+0.0297103
+0.0282909
+0.0269749
+0.025415
+0.0237202
+0.0221127
+0.020613
+0.0192462
+0.0180426
+0.0170357
+0.0162105
+0.0156484
+0.0153806
+0.0154067
+0.0156971
+0.0150869
+0.0144075
+0.0140404
+0.0139608
+0.0142057
+0.0147748
+0.0156329
+0.016711
+0.0161468
+0.0151726
+0.014455
+0.0140332
+0.0139196
+0.0141345
+0.0141884
+0.0127037
+0.0109286
+0.00929922
+0.00788658
+0.00680184
+0.00629243
+0.00638095
+0.00713046
+0.00832535
+0.00986802
+0.0114704
+0.0132219
+0.0149139
+0.0167214
+0.0186107
+0.020544
+0.0225234
+0.0245388
+0.026582
+0.0264414
+0.0243253
+0.0222237
+0.0201356
+0.0180705
+0.0160388
+0.014055
+0.0121425
+0.0103397
+0.00868197
+0.00725488
+0.00627088
+0.00584533
+0.00602054
+0.00676543
+0.00802495
+0.00956743
+0.0113159
+0.0414039
+0.0408178
+0.0403422
+0.0399812
+0.0397378
+0.0396143
+0.0396117
+0.0397299
+0.039946
+0.0402792
+0.0407277
+0.0412877
+0.0419548
+0.0427238
+0.0435896
+0.0445463
+0.0455883
+0.0467099
+0.0479054
+0.0491695
+0.050493
+0.05114
+0.0491729
+0.0472256
+0.0453004
+0.0434005
+0.0415292
+0.0396906
+0.0378894
+0.0361313
+0.0344229
+0.0327719
+0.031186
+0.0296756
+0.0282545
+0.0269367
+0.0252644
+0.0235588
+0.0219395
+0.0204271
+0.0190469
+0.0178299
+0.0168103
+0.0159735
+0.0154027
+0.0151305
+0.0151571
+0.0154522
+0.0148944
+0.0142057
+0.0138333
+0.0137526
+0.0140011
+0.0145782
+0.0154472
+0.0165481
+0.0178118
+0.0170121
+0.0163754
+0.0160042
+0.0159034
+0.0158629
+0.0138517
+0.011904
+0.0100275
+0.00826231
+0.00668745
+0.00542039
+0.00477013
+0.00489702
+0.00582256
+0.00723604
+0.00890403
+0.0106594
+0.0125306
+0.0144632
+0.0163397
+0.0182567
+0.0202294
+0.0222412
+0.0242766
+0.0263348
+0.0269854
+0.0249102
+0.0228566
+0.0208309
+0.0188422
+0.0169036
+0.0150343
+0.0132516
+0.0116
+0.01015
+0.00895981
+0.00817074
+0.007816
+0.00794783
+0.00855941
+0.00959404
+0.0109593
+0.0125185
+0.0434047
+0.0428459
+0.0423931
+0.0420497
+0.0418184
+0.041701
+0.0416985
+0.041811
+0.0420181
+0.042335
+0.0427619
+0.0432956
+0.0439322
+0.0446672
+0.045496
+0.0464135
+0.0474144
+0.0484938
+0.0496464
+0.0508673
+0.0521516
+0.0512121
+0.0492467
+0.047301
+0.0453776
+0.0434796
+0.0416103
+0.0397739
+0.037975
+0.0362193
+0.0345134
+0.032865
+0.0312833
+0.0297787
+0.0283638
+0.0270524
+0.0253034
+0.0236006
+0.0219843
+0.0204752
+0.0190957
+0.0178755
+0.0168515
+0.0160157
+0.0154465
+0.0151751
+0.0151817
+0.0154763
+0.0149773
+0.0143398
+0.0139503
+0.0138532
+0.0140999
+0.0146731
+0.0155369
+0.0166459
+0.0179188
+0.0189266
+0.0183563
+0.0180238
+0.0176046
+0.0155114
+0.0134477
+0.0114314
+0.00946177
+0.00759726
+0.00590349
+0.00452818
+0.00373598
+0.00391932
+0.00498874
+0.00658195
+0.0083723
+0.0102278
+0.0121596
+0.0141427
+0.0161718
+0.0181066
+0.020094
+0.0221199
+0.0241745
+0.0262511
+0.027682
+0.0256633
+0.023675
+0.0217258
+0.0198271
+0.0179925
+0.0162324
+0.0145893
+0.0131074
+0.0118425
+0.0108234
+0.0101687
+0.00987961
+0.0099811
+0.010497
+0.0113705
+0.0125505
+0.0139408
+0.045423
+0.0448894
+0.0444574
+0.04413
+0.0439096
+0.0437979
+0.0437955
+0.0439027
+0.0441016
+0.0444037
+0.0448109
+0.0453205
+0.045929
+0.0466326
+0.047427
+0.0483078
+0.0492703
+0.0503099
+0.0514218
+0.0526015
+0.0533357
+0.0513611
+0.0494015
+0.0474622
+0.0455456
+0.0436549
+0.0417935
+0.0399654
+0.0381756
+0.0364296
+0.034734
+0.0330966
+0.0315264
+0.0300341
+0.0286317
+0.0272582
+0.0254985
+0.0238104
+0.0222102
+0.0207139
+0.0193482
+0.018145
+0.0171372
+0.016316
+0.0157577
+0.0154917
+0.0154982
+0.0157869
+0.0153469
+0.0147049
+0.0143454
+0.0142645
+0.0145042
+0.0150621
+0.0159047
+0.0169898
+0.0182508
+0.0196581
+0.0203803
+0.0196702
+0.017564
+0.0154653
+0.0133945
+0.0113688
+0.00938599
+0.00750267
+0.00578125
+0.00438217
+0.00358849
+0.00381457
+0.00492872
+0.00653263
+0.00831894
+0.0102492
+0.0121772
+0.0141578
+0.0161927
+0.0182206
+0.0201968
+0.0222133
+0.0242599
+0.0263298
+0.0276332
+0.026576
+0.0246615
+0.0227968
+0.0209859
+0.0192502
+0.0176162
+0.0161149
+0.0147866
+0.0136483
+0.0127715
+0.0122111
+0.0119702
+0.0120696
+0.0125183
+0.0132652
+0.0142954
+0.0155428
+0.0474566
+0.0469461
+0.0465332
+0.0462205
+0.0460102
+0.0459035
+0.0459013
+0.0460035
+0.0461951
+0.0464835
+0.0468727
+0.0473601
+0.0479427
+0.0486172
+0.0493797
+0.0502263
+0.0511527
+0.0521547
+0.0532281
+0.0543686
+0.0535684
+0.0516026
+0.0496526
+0.0477235
+0.0458179
+0.0439388
+0.04209
+0.0402754
+0.0385
+0.0367693
+0.0350902
+0.0334702
+0.0319185
+0.0304453
+0.0290628
+0.0276101
+0.0258743
+0.0242124
+0.0226407
+0.0211748
+0.0198409
+0.0186695
+0.0176915
+0.0168973
+0.0163588
+0.0161028
+0.016109
+0.016387
+0.0159661
+0.0153473
+0.0150033
+0.0149751
+0.0152164
+0.0157491
+0.0165567
+0.0176016
+0.0188217
+0.0201893
+0.0216923
+0.0198698
+0.0177717
+0.0156935
+0.0136504
+0.0116569
+0.00972571
+0.00791749
+0.00634142
+0.0050902
+0.00446994
+0.00467946
+0.00565538
+0.00710693
+0.00879704
+0.010641
+0.0125763
+0.0145077
+0.0164994
+0.0185361
+0.0205341
+0.0225204
+0.0245415
+0.0264518
+0.027613
+0.0276327
+0.0257938
+0.024006
+0.0222901
+0.0206642
+0.0191513
+0.01778
+0.0165712
+0.0155512
+0.0147876
+0.0142912
+0.0140858
+0.0141796
+0.0145782
+0.0152258
+0.0161455
+0.0172744
+0.0495036
+0.0490144
+0.0486191
+0.0483199
+0.0481188
+0.0480168
+0.0480147
+0.0481124
+0.0482972
+0.0485731
+0.0489457
+0.0494126
+0.0499714
+0.0506188
+0.0513516
+0.0521662
+0.0530587
+0.0540254
+0.0550624
+0.0558552
+0.0538893
+0.0519355
+0.0499985
+0.0480833
+0.0461925
+0.0443293
+0.0424975
+0.0407011
+0.038945
+0.0372351
+0.035578
+0.0339812
+0.0324539
+0.0310063
+0.0296499
+0.0281287
+0.026427
+0.0248021
+0.0232703
+0.0218467
+0.0205564
+0.0194282
+0.0184751
+0.0177145
+0.0172011
+0.0169573
+0.0169652
+0.0172295
+0.016847
+0.0162618
+0.0159375
+0.015911
+0.0161772
+0.0166792
+0.0174439
+0.0184385
+0.0196209
+0.0209373
+0.0223377
+0.0202662
+0.0182138
+0.0161924
+0.0142213
+0.0123204
+0.0105119
+0.00886549
+0.00749267
+0.00646688
+0.00596178
+0.00613332
+0.00692184
+0.00815681
+0.00967687
+0.0113766
+0.0132216
+0.0151197
+0.0170551
+0.0190459
+0.0209967
+0.022953
+0.0249483
+0.0266117
+0.0277662
+0.0288096
+0.0270436
+0.0253441
+0.0237252
+0.0222047
+0.020804
+0.0195477
+0.0184327
+0.0175215
+0.0168474
+0.0164
+0.0162214
+0.0163046
+0.016654
+0.0172359
+0.0180536
+0.0190889
+0.0515624
+0.0510929
+0.0507138
+0.0504271
+0.0502344
+0.0501367
+0.0501347
+0.0502283
+0.0504068
+0.0506713
+0.0510285
+0.0514766
+0.0520132
+0.0526355
+0.0533406
+0.0541252
+0.054986
+0.0559194
+0.0569218
+0.0562484
+0.0542967
+0.0523581
+0.0504373
+0.0485393
+0.0466671
+0.0448236
+0.0430128
+0.0412389
+0.0395068
+0.0378223
+0.036192
+0.0346236
+0.0331259
+0.0317089
+0.030384
+0.028805
+0.0271457
+0.0255666
+0.0240834
+0.0227108
+0.0214726
+0.0203748
+0.0194425
+0.0187213
+0.0182362
+0.0180064
+0.0180143
+0.0182634
+0.0179534
+0.017393
+0.0170902
+0.0170654
+0.01732
+0.017796
+0.0185146
+0.0194546
+0.0205811
+0.021869
+0.0229016
+0.0208861
+0.0189011
+0.0169618
+0.0150915
+0.0133084
+0.0116541
+0.0102032
+0.00898658
+0.00814877
+0.00777239
+0.00789903
+0.00854142
+0.00956158
+0.0109152
+0.012447
+0.0141531
+0.0159778
+0.0178394
+0.0197259
+0.021618
+0.0235391
+0.0254885
+0.0269493
+0.02809
+0.0293364
+0.0284077
+0.0267948
+0.025269
+0.0238471
+0.0225487
+0.0213749
+0.0203599
+0.0195387
+0.0189364
+0.0185279
+0.01837
+0.0184451
+0.0187546
+0.0192855
+0.0200196
+0.020958
+0.0536317
+0.0531805
+0.0528163
+0.0525411
+0.0523561
+0.0522624
+0.0522605
+0.0523503
+0.0525231
+0.052777
+0.05312
+0.0535506
+0.0540666
+0.0546655
+0.0553448
+0.0561014
+0.0569323
+0.0578343
+0.0586762
+0.0567235
+0.0547888
+0.0528681
+0.0509665
+0.049089
+0.0472385
+0.0454183
+0.0436322
+0.0418845
+0.0401802
+0.0385252
+0.0369259
+0.0353901
+0.0339263
+0.0325442
+0.0312546
+0.0296051
+0.0279933
+0.0264648
+0.0250349
+0.0237214
+0.0225413
+0.0214805
+0.0205983
+0.019919
+0.0194638
+0.0192487
+0.0192563
+0.0194896
+0.0192043
+0.0186752
+0.0183935
+0.0183706
+0.0186073
+0.0190941
+0.0197701
+0.020653
+0.0217183
+0.0229424
+0.0236556
+0.0217102
+0.0198081
+0.0179633
+0.0161923
+0.0145361
+0.0130386
+0.0117601
+0.0107053
+0.0100124
+0.00969053
+0.00979185
+0.0103251
+0.0112119
+0.0124005
+0.0137828
+0.0153417
+0.0170401
+0.018823
+0.0205654
+0.0223867
+0.0242692
+0.0261996
+0.0274398
+0.0285609
+0.0297749
+0.0298702
+0.0283407
+0.0269027
+0.0255718
+0.0243558
+0.0232647
+0.0223357
+0.0215898
+0.0210387
+0.0206689
+0.0205274
+0.020596
+0.0208737
+0.021363
+0.022028
+0.0228842
+0.0557102
+0.055276
+0.0549258
+0.0546611
+0.0544834
+0.0543933
+0.0543915
+0.0544778
+0.0546452
+0.0548893
+0.0552192
+0.0556336
+0.0561304
+0.0567076
+0.0573626
+0.058093
+0.0588958
+0.0597681
+0.0592129
+0.0572785
+0.0553632
+0.0534631
+0.0515834
+0.0497293
+0.0479035
+0.0461095
+0.0443513
+0.042633
+0.0409599
+0.0393377
+0.0377729
+0.0362729
+0.0348462
+0.0335021
+0.0321675
+0.0305338
+0.0289737
+0.0274997
+0.0261265
+0.0248707
+0.0237482
+0.022744
+0.0219127
+0.0212754
+0.0208499
+0.0206492
+0.0206567
+0.0208742
+0.0206071
+0.020115
+0.0198537
+0.0198324
+0.0200519
+0.0205044
+0.0211749
+0.0220016
+0.0230078
+0.0241672
+0.0245824
+0.0227164
+0.0208939
+0.0191433
+0.0174922
+0.0159714
+0.0146216
+0.0134889
+0.0125717
+0.0119801
+0.0117009
+0.0117883
+0.0122349
+0.0129909
+0.0140296
+0.0152584
+0.0166799
+0.0182542
+0.0199322
+0.0215902
+0.0233317
+0.0251435
+0.0270115
+0.0280779
+0.0291745
+0.0303654
+0.0314175
+0.0299671
+0.028611
+0.0273624
+0.0262138
+0.0252032
+0.0243483
+0.0236659
+0.0231548
+0.0228193
+0.0226912
+0.0227546
+0.0230062
+0.0234599
+0.0240683
+0.0248543
+0.0577971
+0.0573786
+0.0570413
+0.0567865
+0.0566155
+0.0565288
+0.056527
+0.05661
+0.0567726
+0.0570075
+0.0573253
+0.0577245
+0.0582035
+0.0587603
+0.0593927
+0.0600984
+0.0608748
+0.0617192
+0.0598251
+0.0579111
+0.0560174
+0.0541402
+0.0522849
+0.0504565
+0.0486581
+0.046893
+0.0451652
+0.0434792
+0.0418399
+0.0402532
+0.0387254
+0.0372638
+0.0358765
+0.0345719
+0.0331691
+0.0315873
+0.0300819
+0.028665
+0.0273503
+0.0261533
+0.0250887
+0.0241405
+0.023359
+0.0227622
+0.022365
+0.022178
+0.0221853
+0.022388
+0.0221381
+0.0216808
+0.0214386
+0.0214189
+0.0216223
+0.0220426
+0.0226678
+0.0234703
+0.0244161
+0.0255153
+0.0256632
+0.0238667
+0.0221345
+0.0204902
+0.0189567
+0.0175632
+0.0163454
+0.0153174
+0.0145196
+0.0140045
+0.0137665
+0.0138437
+0.0142258
+0.014865
+0.0157809
+0.0168899
+0.0181843
+0.0196384
+0.0212071
+0.0227725
+0.0244298
+0.0261657
+0.0279322
+0.0288685
+0.0299362
+0.0310993
+0.0323619
+0.0316616
+0.0303813
+0.0291938
+0.0281197
+0.0271801
+0.0263893
+0.025761
+0.0252836
+0.0249767
+0.0248598
+0.0249188
+0.0251488
+0.0255651
+0.0261329
+0.0268585
+0.0598913
+0.0594876
+0.0591623
+0.0589167
+0.0587518
+0.0586684
+0.0586666
+0.0587466
+0.0589046
+0.059131
+0.0594375
+0.0598226
+0.0602849
+0.0608226
+0.0614338
+0.0621163
+0.0628678
+0.0624215
+0.0605104
+0.0586188
+0.0567488
+0.0548965
+0.0530676
+0.0512672
+0.0494982
+0.0477642
+0.0460691
+0.0444173
+0.042814
+0.0412647
+0.0397757
+0.0383534
+0.0370062
+0.0357426
+0.0342809
+0.0327528
+0.0313035
+0.0299444
+0.0286885
+0.0275497
+0.0265262
+0.0256307
+0.0248963
+0.0243376
+0.0239669
+0.0237929
+0.0238043
+0.0239932
+0.0237665
+0.0233411
+0.0231163
+0.0230981
+0.0232868
+0.0236776
+0.0242606
+0.025018
+0.0259073
+0.0269458
+0.026859
+0.0251421
+0.023504
+0.0219625
+0.0205392
+0.0192605
+0.018157
+0.0172241
+0.0165187
+0.0160726
+0.0158656
+0.0159078
+0.0162233
+0.0167828
+0.0175991
+0.0186364
+0.0198171
+0.0211593
+0.0226045
+0.0240964
+0.0256684
+0.0273257
+0.0288934
+0.0297996
+0.030835
+0.0319668
+0.0331964
+0.0334139
+0.0321961
+0.0310714
+0.0300644
+0.0291875
+0.0284525
+0.0278708
+0.0274222
+0.0271395
+0.0270319
+0.0270872
+0.0272989
+0.027683
+0.0282165
+0.0288899
+0.0619923
+0.0616023
+0.0612882
+0.0610512
+0.0608921
+0.0608115
+0.0608099
+0.0608871
+0.0610407
+0.0612593
+0.0615551
+0.0619271
+0.0623738
+0.0628937
+0.0634849
+0.0641456
+0.0648736
+0.0631547
+0.0612664
+0.059399
+0.0575543
+0.0557287
+0.053928
+0.0521573
+0.0504195
+0.0487183
+0.0470576
+0.0454418
+0.0438755
+0.0423644
+0.0409148
+0.0395335
+0.0382279
+0.0370061
+0.0354895
+0.0340157
+0.0326225
+0.0313208
+0.0301222
+0.0290338
+0.0280474
+0.0272021
+0.0265113
+0.0259873
+0.0256405
+0.0254779
+0.0254891
+0.0256657
+0.0254666
+0.02507
+0.0248609
+0.0248439
+0.0250195
+0.0253836
+0.0259283
+0.0266426
+0.0274924
+0.0284731
+0.0281662
+0.0265339
+0.0249873
+0.0235431
+0.0222213
+0.0210451
+0.02004
+0.0191916
+0.0185611
+0.0181505
+0.0179384
+0.0179702
+0.0182617
+0.0187605
+0.0194942
+0.0204374
+0.0215491
+0.0227884
+0.0241026
+0.0255251
+0.027028
+0.0286066
+0.0299841
+0.0308583
+0.0318594
+0.0329573
+0.0341512
+0.035215
+0.0340491
+0.0329876
+0.0320409
+0.0312196
+0.0305336
+0.0299886
+0.0295684
+0.0293064
+0.0292068
+0.029259
+0.0294551
+0.0298113
+0.0303153
+0.030943
+0.0640992
+0.0637221
+0.0634186
+0.0631895
+0.0630358
+0.062958
+0.0629564
+0.0630309
+0.0631805
+0.0633918
+0.0636777
+0.0640373
+0.0644694
+0.0649726
+0.0655451
+0.0661852
+0.0658386
+0.0639545
+0.0620906
+0.0602487
+0.0584308
+0.0566334
+0.0548625
+0.0531229
+0.0514178
+0.0497506
+0.0481249
+0.0465456
+0.0450175
+0.043546
+0.0421371
+0.0407972
+0.0395334
+0.0382813
+0.0367889
+0.0353693
+0.0340316
+0.0327858
+0.0316429
+0.0305872
+0.0296526
+0.0288543
+0.028204
+0.0277121
+0.0273871
+0.0272349
+0.027246
+0.0274113
+0.0272368
+0.0268664
+0.0266714
+0.0266555
+0.0268193
+0.0271592
+0.027669
+0.0283394
+0.029156
+0.0300825
+0.029578
+0.0280281
+0.0265686
+0.0252151
+0.0239857
+0.0229002
+0.0219765
+0.0212029
+0.0206253
+0.0202285
+0.0200314
+0.0200599
+0.0203243
+0.020775
+0.0214392
+0.0222996
+0.0233346
+0.02446
+0.0257004
+0.0270389
+0.0284832
+0.0299931
+0.0311908
+0.0320321
+0.0329975
+0.0340601
+0.0352167
+0.0364682
+0.0359401
+0.0349361
+0.0340437
+0.0332718
+0.0326289
+0.0321127
+0.0317207
+0.0314766
+0.0313839
+0.0314333
+0.031616
+0.0319481
+0.0324249
+0.0330138
+0.0662116
+0.0658466
+0.0655529
+0.0653313
+0.0651826
+0.0651074
+0.0651058
+0.0651779
+0.0653233
+0.0655281
+0.0658048
+0.0661528
+0.0665712
+0.0670586
+0.0676134
+0.0682341
+0.0666782
+0.0648186
+0.0629802
+0.0611651
+0.0593753
+0.0576073
+0.0558672
+0.0541595
+0.0524875
+0.050855
+0.0492658
+0.0477242
+0.0462351
+0.0448036
+0.0434355
+0.0421369
+0.0409145
+0.0396103
+0.0381699
+0.0368036
+0.03552
+0.0343283
+0.0332219
+0.0322148
+0.0313288
+0.0305743
+0.0299614
+0.0294988
+0.0291936
+0.029051
+0.0290619
+0.0292169
+0.0290644
+0.0287176
+0.0285352
+0.0285204
+0.0286735
+0.0289917
+0.0294698
+0.0301002
+0.0308734
+0.0317615
+0.0310803
+0.0296091
+0.0282314
+0.0269615
+0.0258154
+0.0248102
+0.0239543
+0.0232466
+0.0226872
+0.0223273
+0.0221433
+0.0221691
+0.0224072
+0.0228157
+0.0234221
+0.0242121
+0.0251686
+0.0262082
+0.0273791
+0.0286404
+0.0300077
+0.0314679
+0.0325005
+0.0333087
+0.0342382
+0.0352646
+0.0363829
+0.0375957
+0.0378634
+0.0369117
+0.0360682
+0.0353406
+0.0347361
+0.0342452
+0.0338779
+0.0336494
+0.0335627
+0.0336098
+0.0337807
+0.0340918
+0.0345393
+0.0350991
+0.0683288
+0.0679753
+0.0676908
+0.0674762
+0.0673323
+0.0672595
+0.067258
+0.0673278
+0.0674686
+0.067668
+0.0679359
+0.0682731
+0.0686785
+0.069151
+0.0696892
+0.0694333
+0.0675785
+0.0657443
+0.0639326
+0.0621452
+0.0603845
+0.0586462
+0.0569374
+0.0552627
+0.0536251
+0.0520283
+0.050476
+0.0489726
+0.0475226
+0.0461311
+0.0448035
+0.0435457
+0.042364
+0.0410133
+0.0396239
+0.0383095
+0.0370781
+0.0359306
+0.0348642
+0.0339059
+0.0330652
+0.0323513
+0.0317726
+0.0313368
+0.0310497
+0.0309156
+0.0309263
+0.031072
+0.0309392
+0.0306136
+0.0304426
+0.0304287
+0.0305723
+0.0308709
+0.0313204
+0.0319142
+0.0326445
+0.0334997
+0.0326605
+0.0312637
+0.0299622
+0.0287689
+0.0276976
+0.0267631
+0.0259663
+0.0252791
+0.0247637
+0.0244346
+0.0242692
+0.0242927
+0.0245084
+0.0248819
+0.0254391
+0.0261683
+0.0270452
+0.0280186
+0.0291169
+0.0303156
+0.0316106
+0.0330003
+0.0338948
+0.0346705
+0.0355644
+0.0365609
+0.0376407
+0.0388142
+0.0398143
+0.0389104
+0.0381112
+0.0374233
+0.036853
+0.0363846
+0.0360391
+0.0358245
+0.035743
+0.0357881
+0.0359486
+0.0362411
+0.0366623
+0.0371966
+0.0704506
+0.0701078
+0.0698319
+0.069624
+0.0694845
+0.069414
+0.0694125
+0.0694801
+0.0696167
+0.0698109
+0.0700707
+0.0703976
+0.0707909
+0.0712494
+0.0717719
+0.0703665
+0.0685369
+0.0667291
+0.0649448
+0.0631862
+0.0614549
+0.0597468
+0.0580705
+0.0564293
+0.0548266
+0.0532658
+0.0517507
+0.0502854
+0.0488744
+0.0475225
+0.0462349
+0.0450171
+0.043875
+0.042483
+0.0411433
+0.039879
+0.0386975
+0.0375822
+0.036564
+0.0356514
+0.0348529
+0.0341763
+0.0336291
+0.0332176
+0.0329469
+0.0328205
+0.0328311
+0.0329684
+0.0328531
+0.0325467
+0.0323859
+0.0323729
+0.0325078
+0.0327888
+0.0332123
+0.0337729
+0.0344638
+0.0352775
+0.0343077
+0.0329808
+0.0317498
+0.0306261
+0.0296221
+0.0287503
+0.0279734
+0.0273335
+0.0268576
+0.0265545
+0.0264057
+0.0264273
+0.0266238
+0.0269678
+0.0274827
+0.0281581
+0.0289531
+0.0298801
+0.0309122
+0.0320532
+0.0332806
+0.0346033
+0.0353576
+0.0361019
+0.0369612
+0.0379277
+0.038981
+0.0401153
+0.0413194
+0.0409288
+0.0401697
+0.0395177
+0.0389764
+0.0385298
+0.0382037
+0.0380013
+0.0379245
+0.0379677
+0.0381191
+0.038395
+0.0387929
+0.0393042
+0.0725765
+0.0722437
+0.0719761
+0.0717744
+0.0716391
+0.0715706
+0.0715692
+0.0716348
+0.0717672
+0.0719568
+0.0722088
+0.0725261
+0.0729079
+0.0733532
+0.0731795
+0.0713548
+0.0695512
+0.0677704
+0.0660143
+0.0642849
+0.0625798
+0.0609026
+0.0592589
+0.0576516
+0.0560839
+0.054559
+0.0530808
+0.0516533
+0.0502806
+0.0489676
+0.047719
+0.0465401
+0.0453734
+0.0440127
+0.042721
+0.0415048
+0.0403551
+0.0392866
+0.0383136
+0.0374438
+0.0366842
+0.0360421
+0.0355236
+0.0351343
+0.0348785
+0.0347592
+0.0347696
+0.0348992
+0.0347997
+0.0345106
+0.0343589
+0.0343466
+0.0344738
+0.034739
+0.035139
+0.0356693
+0.0363242
+0.037097
+0.03601
+0.0347481
+0.0335819
+0.0325217
+0.031578
+0.0307439
+0.0300033
+0.0294076
+0.0289658
+0.028685
+0.0285503
+0.0285703
+0.0287502
+0.0290691
+0.0295474
+0.0301549
+0.0308986
+0.0317762
+0.0327557
+0.0338421
+0.035008
+0.0362678
+0.0368925
+0.0376065
+0.0384321
+0.0393626
+0.0403905
+0.041475
+0.0426339
+0.042964
+0.0422416
+0.041622
+0.0411032
+0.0406799
+0.0403711
+0.0401796
+0.040107
+0.0401486
+0.0402917
+0.0405529
+0.0409298
+0.0414192
+0.0747061
+0.0743829
+0.074123
+0.0739271
+0.0737958
+0.0737293
+0.0737279
+0.0737916
+0.0739202
+0.0741053
+0.07435
+0.0746582
+0.0750292
+0.0754619
+0.074195
+0.0723959
+0.0706189
+0.0688657
+0.0671375
+0.0654305
+0.063753
+0.0621075
+0.0604965
+0.058923
+0.05739
+0.0559008
+0.054459
+0.0530686
+0.0517335
+0.0504583
+0.0492475
+0.0481026
+0.0469112
+0.0455964
+0.0443508
+0.0431722
+0.0420612
+0.0410371
+0.0401067
+0.0392765
+0.0385531
+0.0379426
+0.0374504
+0.0370814
+0.0368391
+0.0367261
+0.0367364
+0.0368592
+0.0367737
+0.0365002
+0.0363569
+0.0363453
+0.0364655
+0.0367163
+0.037095
+0.0375977
+0.0382196
+0.0389548
+0.0377618
+0.0365605
+0.035454
+0.0344513
+0.0335477
+0.0327486
+0.0320544
+0.0314975
+0.0310855
+0.0308239
+0.0307013
+0.0307197
+0.0308703
+0.031168
+0.0316139
+0.0321769
+0.0328749
+0.0337011
+0.0346379
+0.035667
+0.0367848
+0.0379206
+0.038491
+0.0391758
+0.0399691
+0.0408645
+0.0418556
+0.0428968
+0.0440182
+0.0450139
+0.0443248
+0.0437348
+0.0432363
+0.042834
+0.0425409
+0.0423592
+0.0422904
+0.0423305
+0.0424663
+0.0427141
+0.0430721
+0.0435376
+0.076839
+0.0765248
+0.0762722
+0.0760818
+0.0759542
+0.0758897
+0.0758883
+0.0759502
+0.0760751
+0.0762561
+0.076494
+0.0767936
+0.0771543
+0.0770551
+0.0752606
+0.0734876
+0.0717376
+0.0700083
+0.0683027
+0.0666255
+0.0649789
+0.0633652
+0.0617871
+0.0602473
+0.0587488
+0.0572949
+0.0558892
+0.0545351
+0.0532369
+0.0519985
+0.0508227
+0.0497118
+0.0484992
+0.0472286
+0.0460254
+0.0448781
+0.0438104
+0.0428282
+0.0419375
+0.0411443
+0.0404543
+0.0398729
+0.0394049
+0.0390543
+0.0388243
+0.0387172
+0.0387273
+0.0388438
+0.0387711
+0.0385118
+0.0383759
+0.0383649
+0.0384789
+0.0387166
+0.0390759
+0.0395534
+0.040145
+0.0407881
+0.0395574
+0.0384123
+0.0373582
+0.0363825
+0.0355154
+0.0347648
+0.0341126
+0.0335896
+0.0332033
+0.0329583
+0.0328346
+0.0328518
+0.0329939
+0.0332726
+0.0336909
+0.0342197
+0.0348769
+0.0356567
+0.036549
+0.0375262
+0.0386026
+0.0395983
+0.0401455
+0.0408025
+0.0415647
+0.0424265
+0.0433799
+0.0443812
+0.045466
+0.0466286
+0.046418
+0.0458549
+0.0453748
+0.0449917
+0.0447128
+0.0445399
+0.0444745
+0.0445132
+0.0446424
+0.0448782
+0.0452191
+0.0456627
+0.0789733
+0.0786675
+0.0784218
+0.0782367
+0.0781126
+0.0780499
+0.0780486
+0.0781087
+0.0782302
+0.0784092
+0.0786406
+0.078932
+0.079283
+0.0781431
+0.0763741
+0.0746268
+0.0728976
+0.0711938
+0.0695174
+0.0678702
+0.0662545
+0.0646727
+0.0631272
+0.0616209
+0.0601567
+0.0587377
+0.0573673
+0.056049
+0.0547866
+0.0535838
+0.0524399
+0.051364
+0.0501326
+0.0489045
+0.0477299
+0.0466246
+0.0455978
+0.0446549
+0.0438014
+0.0430425
+0.0423835
+0.0418289
+0.041383
+0.0410493
+0.0408306
+0.0407287
+0.0407387
+0.0408494
+0.0407882
+0.0405418
+0.0404128
+0.0404024
+0.0405106
+0.0407365
+0.0410781
+0.0415326
+0.0420964
+0.0425688
+0.0413911
+0.0402823
+0.0392571
+0.0383298
+0.0375077
+0.0367902
+0.0361734
+0.0356807
+0.0353172
+0.035087
+0.0349742
+0.0349903
+0.0351212
+0.0353831
+0.0357776
+0.0362798
+0.0369003
+0.0376382
+0.0384868
+0.0394194
+0.0404455
+0.0413186
+0.0418492
+0.0424799
+0.0432125
+0.0440421
+0.0449552
+0.0459221
+0.0469714
+0.0480976
+0.0485197
+0.0479808
+0.0475181
+0.0471524
+0.0468863
+0.0467215
+0.0466591
+0.0466967
+0.0468198
+0.0470448
+0.0473701
+0.0477937
+0.0811105
+0.0808129
+0.0805737
+0.0803936
+0.0802728
+0.0802117
+0.0802105
+0.080269
+0.0803872
+0.0805643
+0.0807895
+0.0810732
+0.0810415
+0.0792767
+0.0775297
+0.0758035
+0.0741017
+0.0724263
+0.070779
+0.0691619
+0.0675771
+0.066027
+0.064514
+0.0630408
+0.0616104
+0.0602256
+0.0588898
+0.0576064
+0.0563789
+0.0552071
+0.0540975
+0.0530552
+0.0518072
+0.05061
+0.0494721
+0.0484065
+0.0474183
+0.0465124
+0.0456936
+0.0449667
+0.0443362
+0.0438064
+0.0433808
+0.0430626
+0.0428541
+0.042757
+0.0427677
+0.0428732
+0.0428173
+0.0425879
+0.0424651
+0.0424551
+0.0425581
+0.0427732
+0.0430987
+0.0435321
+0.0440703
+0.0443806
+0.0432307
+0.0421634
+0.0411851
+0.0403021
+0.0395211
+0.0388326
+0.0382487
+0.0377831
+0.03744
+0.0372229
+0.0371156
+0.0371307
+0.0372547
+0.0375017
+0.0378741
+0.0383544
+0.0389418
+0.0396417
+0.0404483
+0.0413421
+0.0423215
+0.043081
+0.0435964
+0.0442022
+0.0449068
+0.0457056
+0.0465802
+0.0475141
+0.048529
+0.0496198
+0.0506291
+0.0501088
+0.0496656
+0.0493158
+0.0490615
+0.048904
+0.0488444
+0.0488808
+0.0489985
+0.0492135
+0.0495245
+0.0499298
+0.0832506
+0.0829606
+0.0827276
+0.0825522
+0.0824346
+0.0823751
+0.0823739
+0.0824309
+0.082546
+0.082719
+0.0829406
+0.083217
+0.0821927
+0.0804472
+0.078724
+0.0770245
+0.0753503
+0.0737033
+0.0720852
+0.070498
+0.068944
+0.0674253
+0.0659444
+0.0645039
+0.0631066
+0.0617554
+0.0604534
+0.0592039
+0.0580077
+0.0568684
+0.0557918
+0.0547313
+0.0535129
+0.0523464
+0.0512469
+0.0502191
+0.0492673
+0.0483959
+0.0476095
+0.0469123
+0.0463084
+0.0458013
+0.0453945
+0.0450905
+0.0448914
+0.0447988
+0.0448109
+0.0449116
+0.0448614
+0.0446476
+0.0445305
+0.044521
+0.0446192
+0.0448244
+0.0451351
+0.0455492
+0.0460638
+0.0461987
+0.0450952
+0.0440731
+0.0431381
+0.0422959
+0.0415524
+0.0408903
+0.0403362
+0.0398949
+0.0395701
+0.0393648
+0.0392618
+0.0392761
+0.0393944
+0.0396281
+0.0399807
+0.0404412
+0.0409987
+0.0416641
+0.0424323
+0.0432902
+0.0442265
+0.0448811
+0.0453788
+0.0459611
+0.0466391
+0.0474087
+0.0482501
+0.0491522
+0.0501339
+0.0511906
+0.0523177
+0.0522416
+0.0518167
+0.0514815
+0.0512379
+0.0510871
+0.0510301
+0.0510655
+0.0511781
+0.051384
+0.051682
+0.0520705
+0.0881328
+0.0867458
+0.085389
+0.0839934
+0.0826179
+0.0812781
+0.0799435
+0.078633
+0.0772821
+0.0759543
+0.0746672
+0.0734228
+0.0722235
+0.071061
+0.0698785
+0.0687442
+0.0675864
+0.0664807
+0.0653178
+0.0641849
+0.0630802
+0.0620332
+0.0610391
+0.0600081
+0.0590405
+0.0581394
+0.0573047
+0.0565147
+0.0557509
+0.0549208
+0.054111
+0.0533549
+0.0526247
+0.0519765
+0.0513811
+0.0508405
+0.0503818
+0.0499938
+0.0496647
+0.0494306
+0.0491954
+0.0488497
+0.0485833
+0.0483146
+0.0481289
+0.0480425
+0.0480135
+0.0480688
+0.0482237
+0.0484772
+0.0487911
+0.0491993
+0.0497003
+0.0502553
+0.0508987
+0.051627
+0.052412
+0.0532477
+0.0541593
+0.0550599
+0.0538601
+0.052724
+0.0516528
+0.0506472
+0.0497178
+0.0488691
+0.0481052
+0.0474303
+0.0468481
+0.0463623
+0.0459759
+0.0456913
+0.0455105
+0.0454348
+0.0454611
+0.0455758
+0.0457953
+0.0461178
+0.0465413
+0.0470631
+0.0476799
+0.0483871
+0.049164
+0.0500148
+0.0508825
+0.0518131
+0.0528156
+0.0538885
+0.0550278
+0.0562294
+0.0574894
+0.0588001
+0.0601389
+0.0614901
+0.062882
+0.0643183
+0.065776
+0.0672551
+0.0687502
+0.0702718
+0.0864701
+0.0850779
+0.083694
+0.0823451
+0.0809451
+0.0795771
+0.0782466
+0.0769098
+0.0756101
+0.0742538
+0.0729366
+0.0716622
+0.070433
+0.0692499
+0.0680832
+0.0669195
+0.0657855
+0.064649
+0.0635403
+0.0623887
+0.0612638
+0.0601852
+0.059167
+0.0581617
+0.0571628
+0.0562316
+0.0553707
+0.0545672
+0.0538097
+0.0530225
+0.0521832
+0.0514152
+0.0506725
+0.0499991
+0.0493967
+0.0488394
+0.0483618
+0.0479684
+0.0476253
+0.0473811
+0.0471962
+0.0468543
+0.046581
+0.0463617
+0.0461681
+0.046078
+0.0460652
+0.0461263
+0.0462877
+0.0465507
+0.0468761
+0.0473008
+0.0478222
+0.0484042
+0.0490718
+0.0498268
+0.0506255
+0.0514903
+0.0524323
+0.0533582
+0.0521192
+0.0509444
+0.0498348
+0.0487918
+0.0478264
+0.0469435
+0.0461477
+0.0454437
+0.0448358
+0.044328
+0.0439236
+0.0436257
+0.0434363
+0.0433569
+0.0433845
+0.0435047
+0.0437345
+0.0440722
+0.0445152
+0.0450604
+0.0457043
+0.0464331
+0.0472421
+0.0480926
+0.0489881
+0.0499512
+0.0509904
+0.0521009
+0.0532785
+0.0545186
+0.0558146
+0.057141
+0.058481
+0.0598627
+0.0612915
+0.0627416
+0.0642098
+0.0657012
+0.0672189
+0.0686497
+0.0848313
+0.0834126
+0.0820225
+0.0806457
+0.0792975
+0.0779006
+0.076541
+0.0752108
+0.0738813
+0.0725795
+0.0712314
+0.0699259
+0.0686656
+0.0674528
+0.0662874
+0.0651164
+0.0639737
+0.0628403
+0.0617256
+0.0606077
+0.0594717
+0.058361
+0.0573115
+0.0563226
+0.0553082
+0.0543452
+0.0534547
+0.0526237
+0.0518558
+0.0510987
+0.0502769
+0.0494793
+0.0487406
+0.0480401
+0.0474306
+0.0468551
+0.0463572
+0.0459581
+0.0455999
+0.0453448
+0.0451835
+0.0448612
+0.0445964
+0.0444125
+0.0442289
+0.0441348
+0.044126
+0.0441977
+0.0443661
+0.0446415
+0.0449827
+0.0454251
+0.0459678
+0.0465825
+0.0472758
+0.0480538
+0.0488719
+0.0497672
+0.0507412
+0.0516933
+0.0504135
+0.0491979
+0.048048
+0.0469653
+0.0459616
+0.0450421
+0.0442122
+0.0434768
+0.042841
+0.0423092
+0.0418854
+0.0415728
+0.0413741
+0.0412907
+0.0413197
+0.0414459
+0.0416871
+0.0420411
+0.0425053
+0.043076
+0.0437491
+0.0445011
+0.0453427
+0.0461944
+0.0471164
+0.0481171
+0.049195
+0.0503452
+0.0515628
+0.0528421
+0.0541542
+0.0554809
+0.0568519
+0.0582722
+0.0597137
+0.0611699
+0.062657
+0.0641704
+0.0656058
+0.0670531
+0.083218
+0.0817713
+0.0803582
+0.0789705
+0.0776014
+0.0762502
+0.0748606
+0.07351
+0.0721776
+0.0708589
+0.0695533
+0.0682158
+0.0669232
+0.0656783
+0.0644838
+0.0633377
+0.0621623
+0.061043
+0.0599082
+0.0588148
+0.0576878
+0.0565627
+0.0554793
+0.0544618
+0.053479
+0.0524824
+0.0515598
+0.0507004
+0.049917
+0.0491727
+0.0483946
+0.0475655
+0.0468243
+0.046102
+0.0454665
+0.0448856
+0.0443703
+0.0439533
+0.0435905
+0.0433235
+0.0431481
+0.0428838
+0.0426165
+0.0424397
+0.0423142
+0.0422159
+0.0422115
+0.0422929
+0.0424688
+0.0427565
+0.0431174
+0.0435788
+0.0441442
+0.0447939
+0.0455145
+0.0463128
+0.0471549
+0.0480821
+0.0490893
+0.050069
+0.0487465
+0.0474882
+0.0462959
+0.0451713
+0.0441267
+0.0431682
+0.0423015
+0.0415323
+0.0408663
+0.0403085
+0.0398634
+0.0395348
+0.0393257
+0.039238
+0.0392685
+0.0394013
+0.0396549
+0.040027
+0.0405142
+0.0411126
+0.0418101
+0.0425942
+0.0434348
+0.0443169
+0.0452735
+0.0463139
+0.0474328
+0.0486247
+0.0498844
+0.0511808
+0.0524912
+0.053851
+0.0552616
+0.0566935
+0.0581361
+0.059617
+0.0611269
+0.0625672
+0.0640115
+0.0654739
+0.0816194
+0.0801562
+0.0787141
+0.0773072
+0.0759222
+0.0745615
+0.0732072
+0.0718255
+0.0704848
+0.0691501
+0.0678433
+0.0665338
+0.0652079
+0.0639296
+0.0627018
+0.0615259
+0.0603761
+0.059223
+0.0581166
+0.0569888
+0.0559085
+0.0547834
+0.0536739
+0.0526222
+0.0516371
+0.0506459
+0.0496892
+0.0487996
+0.0479852
+0.0472454
+0.0464951
+0.0456767
+0.0449043
+0.0441875
+0.043524
+0.0429364
+0.0424034
+0.0419669
+0.0415994
+0.041316
+0.0411286
+0.0409282
+0.0406553
+0.0404788
+0.0403823
+0.0403246
+0.0403237
+0.0404139
+0.0406011
+0.0409019
+0.0412841
+0.0417657
+0.0423553
+0.0430425
+0.0437882
+0.0446049
+0.0454786
+0.0464393
+0.0474769
+0.0484892
+0.0471224
+0.0458195
+0.0445827
+0.0434136
+0.0423257
+0.0413254
+0.0404192
+0.0396136
+0.0389147
+0.0383285
+0.0378601
+0.037514
+0.0372936
+0.0372011
+0.0372333
+0.0373733
+0.0376406
+0.0380323
+0.0385448
+0.0391732
+0.0398948
+0.0407159
+0.0415547
+0.0424655
+0.0434628
+0.0445456
+0.0457078
+0.0469435
+0.048223
+0.0495148
+0.0508618
+0.0522612
+0.0536814
+0.0551094
+0.056583
+0.0580891
+0.0595348
+0.0609733
+0.0624352
+0.0639297
+0.0800149
+0.078561
+0.0770973
+0.0756603
+0.0742602
+0.0728781
+0.0715265
+0.070169
+0.068796
+0.0674663
+0.0661292
+0.0648355
+0.0635219
+0.0622089
+0.0609465
+0.0597377
+0.0585824
+0.0574289
+0.0563007
+0.0551893
+0.0540893
+0.0530167
+0.0518982
+0.0508098
+0.0497938
+0.0488386
+0.0478457
+0.0469241
+0.0460766
+0.0453191
+0.0445782
+0.0438159
+0.0430101
+0.0422998
+0.0416063
+0.0410116
+0.0404596
+0.0400019
+0.0396294
+0.0393246
+0.0391276
+0.0389951
+0.0387112
+0.0385358
+0.0384688
+0.0384332
+0.0384648
+0.038564
+0.0387673
+0.0390822
+0.0394872
+0.0399905
+0.0406059
+0.0413284
+0.0420991
+0.0429409
+0.0438477
+0.044841
+0.0459125
+0.0469585
+0.0455457
+0.0441964
+0.0429128
+0.041697
+0.0405631
+0.0395182
+0.0385696
+0.0377244
+0.0369899
+0.0363726
+0.0358787
+0.0355133
+0.0352804
+0.0351827
+0.0352166
+0.0353647
+0.035647
+0.0360604
+0.0366005
+0.0372575
+0.0380094
+0.0388362
+0.0397007
+0.0406478
+0.0416886
+0.0428162
+0.0440241
+0.045284
+0.0465543
+0.0478864
+0.049273
+0.0506728
+0.0520911
+0.0535563
+0.0550581
+0.0565095
+0.0579402
+0.0594027
+0.0608928
+0.0624242
+0.0784387
+0.0769551
+0.0755059
+0.0740416
+0.0726103
+0.0712176
+0.0698387
+0.0684973
+0.0671362
+0.0657729
+0.0644439
+0.0631158
+0.0618367
+0.0605186
+0.0592201
+0.0579754
+0.0567877
+0.0556557
+0.0544985
+0.0533972
+0.0522818
+0.051213
+0.0501352
+0.0490282
+0.0479747
+0.046995
+0.0460327
+0.0450771
+0.0441941
+0.0434038
+0.0426876
+0.0419449
+0.0411454
+0.0404051
+0.0397167
+0.0391002
+0.0385408
+0.0380614
+0.0376837
+0.0373554
+0.0371479
+0.0370689
+0.0367946
+0.0366203
+0.0365536
+0.036549
+0.0366359
+0.0367515
+0.0369723
+0.0373023
+0.037732
+0.0382584
+0.0389012
+0.0396547
+0.0404581
+0.0413259
+0.0422675
+0.0432922
+0.044401
+0.0454732
+0.0440217
+0.0426242
+0.0412917
+0.0400267
+0.038844
+0.0377516
+0.0367574
+0.0358696
+0.0350962
+0.0344451
+0.0339231
+0.0335364
+0.0332897
+0.0331861
+0.0332221
+0.033379
+0.0336779
+0.0341152
+0.0346856
+0.0353671
+0.0361583
+0.0369812
+0.037877
+0.0388685
+0.0399557
+0.0411309
+0.0423676
+0.0436128
+0.0449276
+0.0462991
+0.0476756
+0.0490828
+0.0505383
+0.052035
+0.0534925
+0.0549145
+0.0563769
+0.0578623
+0.0593911
+0.0609602
+0.0768926
+0.0753786
+0.0738985
+0.072453
+0.0709896
+0.0695645
+0.0681795
+0.0668048
+0.0654745
+0.0641098
+0.0627572
+0.061426
+0.0601109
+0.0588481
+0.0575254
+0.0562432
+0.0550183
+0.0538526
+0.0527257
+0.0515877
+0.050501
+0.0493974
+0.0483636
+0.0472743
+0.0461877
+0.0451742
+0.0442184
+0.0432593
+0.0423413
+0.0415158
+0.0407914
+0.0400498
+0.0393143
+0.0385389
+0.0378445
+0.0371969
+0.0366472
+0.0361496
+0.0357638
+0.0354122
+0.0351933
+0.0351099
+0.0349033
+0.0347286
+0.0346674
+0.0347007
+0.0347994
+0.0349824
+0.0352213
+0.0355683
+0.0360245
+0.0365755
+0.0372473
+0.0380238
+0.0388697
+0.0397662
+0.040739
+0.0418008
+0.0429482
+0.0440136
+0.0425351
+0.0411086
+0.0397253
+0.0384087
+0.0371746
+0.0360316
+0.0349886
+0.0340547
+0.0332391
+0.0325508
+0.031998
+0.0315878
+0.0313257
+0.0312155
+0.0312538
+0.0314205
+0.0317379
+0.0322016
+0.0328048
+0.0335133
+0.0343088
+0.0351547
+0.0360941
+0.0371333
+0.0382698
+0.039479
+0.0406947
+0.0419888
+0.043342
+0.0446912
+0.0460856
+0.0475306
+0.0490212
+0.0504854
+0.0518972
+0.0533572
+0.0548395
+0.056365
+0.0579333
+0.0595319
+0.0753603
+0.0738334
+0.0723217
+0.0708452
+0.0694003
+0.0679418
+0.0665235
+0.065142
+0.063777
+0.062459
+0.0610905
+0.0597499
+0.0584163
+0.057116
+0.0558652
+0.054544
+0.05328
+0.0520776
+0.0509368
+0.0498076
+0.0487
+0.0476134
+0.0465405
+0.0455197
+0.0444369
+0.0433824
+0.0424106
+0.0414657
+0.0405223
+0.0396589
+0.0388999
+0.0381864
+0.0374826
+0.0367041
+0.0360046
+0.0353233
+0.0347669
+0.0342559
+0.0338561
+0.0334996
+0.0332681
+0.0331799
+0.0330368
+0.0328719
+0.0328129
+0.0328817
+0.0329987
+0.0332455
+0.0335147
+0.0338873
+0.0343611
+0.0349489
+0.0356514
+0.0364486
+0.0373302
+0.0382663
+0.0392728
+0.0403732
+0.0415601
+0.0426165
+0.0410879
+0.0396214
+0.0382203
+0.03685
+0.0355618
+0.0343652
+0.03327
+0.0322864
+0.031425
+0.0306961
+0.0301092
+0.0296729
+0.0293937
+0.0292763
+0.0293171
+0.0294948
+0.0298327
+0.0303255
+0.0309526
+0.0317026
+0.0324789
+0.0333712
+0.0343585
+0.0354486
+0.0366246
+0.0378051
+0.0390729
+0.0403952
+0.0417222
+0.0431012
+0.0445354
+0.0460187
+0.0474899
+0.0488901
+0.0503458
+0.0518255
+0.0533473
+0.0549143
+0.0565093
+0.0581229
+0.073842
+0.0723028
+0.0707776
+0.0692682
+0.0677933
+0.0663518
+0.0648988
+0.0634881
+0.0621104
+0.0607563
+0.059452
+0.0580795
+0.0567523
+0.0554165
+0.0541328
+0.0528809
+0.0515762
+0.0503331
+0.0491558
+0.0480438
+0.0469126
+0.0458221
+0.0447499
+0.0437165
+0.0427079
+0.0416289
+0.0406198
+0.0396808
+0.0387373
+0.0378377
+0.0370414
+0.0363595
+0.0356196
+0.0349097
+0.0341748
+0.0334882
+0.0329007
+0.0323854
+0.0319623
+0.0316165
+0.0313777
+0.0312842
+0.0312125
+0.0310391
+0.0309971
+0.0310727
+0.0312448
+0.03151
+0.031866
+0.0322617
+0.0327563
+0.0333824
+0.0341136
+0.0349398
+0.0358585
+0.036832
+0.0378767
+0.0390165
+0.0402434
+0.0412886
+0.0397088
+0.0381894
+0.0367379
+0.0353583
+0.0340137
+0.0327606
+0.0316098
+0.0305729
+0.0296618
+0.0288884
+0.028264
+0.0277987
+0.0275006
+0.027375
+0.0274187
+0.0276085
+0.0279692
+0.0284943
+0.0291474
+0.0298848
+0.0306963
+0.0316389
+0.0326776
+0.0338131
+0.0349514
+0.0361865
+0.0374687
+0.0387734
+0.0401342
+0.0415551
+0.0430297
+0.0445085
+0.0458951
+0.0473425
+0.048822
+0.0503393
+0.0519047
+0.0534954
+0.0551115
+0.0567325
+0.0723281
+0.0707867
+0.0692488
+0.0677254
+0.0662162
+0.0647454
+0.0633081
+0.0618612
+0.060459
+0.0590857
+0.0577438
+0.0564447
+0.0550781
+0.0537525
+0.0524281
+0.0511632
+0.0499105
+0.0486248
+0.0474055
+0.0462552
+0.0451608
+0.0440453
+0.0429737
+0.0419178
+0.0409307
+0.0399159
+0.0388651
+0.037905
+0.0369798
+0.0360577
+0.0352211
+0.0345036
+0.0337959
+0.0331437
+0.0323884
+0.0316982
+0.031077
+0.0305576
+0.0301088
+0.0297452
+0.0295157
+0.029424
+0.0293929
+0.0292542
+0.0292328
+0.0293129
+0.0295322
+0.0298327
+0.0302469
+0.0307035
+0.0312228
+0.031879
+0.032644
+0.0335064
+0.0344633
+0.0354752
+0.0365586
+0.0377382
+0.0390053
+0.0400365
+0.0384052
+0.0368321
+0.0353248
+0.0338922
+0.0325396
+0.0312273
+0.0300178
+0.0289239
+0.0279591
+0.0271372
+0.0264715
+0.0259742
+0.0256548
+0.0255202
+0.0255651
+0.0257687
+0.0261548
+0.0267073
+0.0273956
+0.0281084
+0.0289697
+0.0299667
+0.0310563
+0.0321429
+0.0333382
+0.034572
+0.0358497
+0.0371885
+0.0385935
+0.0400572
+0.0415442
+0.0429148
+0.0443512
+0.0458312
+0.0473429
+0.0489061
+0.0504917
+0.0521089
+0.0537423
+0.0553939
+0.0707492
+0.0692711
+0.0677353
+0.066199
+0.0646747
+0.0631681
+0.0617025
+0.0602683
+0.0588299
+0.0574373
+0.056069
+0.0547409
+0.0534413
+0.0520881
+0.0507607
+0.0494531
+0.0482097
+0.0469565
+0.0456928
+0.044501
+0.0433819
+0.0422881
+0.0411942
+0.0401502
+0.0391186
+0.0381756
+0.0371567
+0.0361555
+0.03524
+0.0343188
+0.0334453
+0.0326889
+0.0320183
+0.0313291
+0.0306411
+0.0299616
+0.0293035
+0.0287803
+0.0283035
+0.0279205
+0.0276759
+0.0276006
+0.0275675
+0.027528
+0.0275062
+0.027614
+0.0278381
+0.0282097
+0.0286554
+0.0292157
+0.0297716
+0.0304591
+0.0312588
+0.0321584
+0.0331543
+0.0342049
+0.0353273
+0.0365467
+0.0378537
+0.0388676
+0.0371851
+0.0355581
+0.0339944
+0.0325032
+0.0310949
+0.0297764
+0.0285054
+0.027351
+0.0263286
+0.0254542
+0.0247433
+0.0242104
+0.0238675
+0.0237227
+0.0237675
+0.0239864
+0.0244007
+0.0249797
+0.025634
+0.0263944
+0.0273098
+0.0283651
+0.0293926
+0.0305384
+0.0317134
+0.0329558
+0.0342676
+0.0356551
+0.0371053
+0.0386009
+0.0399523
+0.0413757
+0.0428537
+0.0443606
+0.0459193
+0.0475001
+0.0491181
+0.0507651
+0.0524189
+0.0541109
+0.0691969
+0.0676919
+0.0662178
+0.0646884
+0.0631532
+0.0616283
+0.0601252
+0.0586653
+0.057233
+0.055806
+0.0544242
+0.0530618
+0.0517491
+0.0504494
+0.0491115
+0.0477824
+0.0464943
+0.0452757
+0.0440224
+0.0427841
+0.0416236
+0.0405342
+0.0394497
+0.0383775
+0.037347
+0.0363678
+0.0354506
+0.034452
+0.0335075
+0.0326127
+0.0317214
+0.0309228
+0.030262
+0.0295654
+0.0289427
+0.0282359
+0.0275852
+0.027047
+0.0265562
+0.026152
+0.0258907
+0.0258102
+0.025799
+0.0258368
+0.0257886
+0.0259151
+0.0261752
+0.0265795
+0.0271337
+0.027763
+0.0284059
+0.0291349
+0.02997
+0.0309071
+0.031942
+0.0330312
+0.0341922
+0.0354506
+0.0367966
+0.0377897
+0.0360569
+0.0343765
+0.0327565
+0.0312062
+0.0297365
+0.0283601
+0.0270856
+0.0258679
+0.0247844
+0.0238534
+0.0230933
+0.0225214
+0.0221523
+0.0219963
+0.0220412
+0.022277
+0.0227225
+0.0233091
+0.0239432
+0.0247556
+0.0257294
+0.0267186
+0.0278021
+0.0289043
+0.0300948
+0.0313732
+0.0327461
+0.0341758
+0.0356669
+0.0370121
+0.0384194
+0.0398917
+0.0413914
+0.042945
+0.0445231
+0.0461414
+0.0478009
+0.049459
+0.0511551
+0.0528625
+0.0676674
+0.0661405
+0.0646383
+0.063169
+0.0616457
+0.0601094
+0.0585873
+0.0570882
+0.0556349
+0.0542048
+0.0527907
+0.0514212
+0.0500656
+0.0487703
+0.0474706
+0.0461494
+0.0448203
+0.0435548
+0.0423649
+0.0411123
+0.039904
+0.0387706
+0.0377178
+0.0366368
+0.0356076
+0.0345941
+0.0336681
+0.0327846
+0.0318192
+0.0309278
+0.0300495
+0.0292143
+0.028514
+0.0278625
+0.0272444
+0.0265644
+0.0259326
+0.0253594
+0.0248644
+0.0244487
+0.0241689
+0.024085
+0.0240939
+0.0241402
+0.0241398
+0.0242751
+0.0245816
+0.0250202
+0.0256082
+0.0263656
+0.0271242
+0.0278978
+0.0287812
+0.0297646
+0.0308379
+0.0319647
+0.033163
+0.0344591
+0.0358423
+0.0368107
+0.0350296
+0.0332973
+0.031622
+0.0300132
+0.0284821
+0.0270419
+0.0257079
+0.024478
+0.0233421
+0.0223511
+0.021538
+0.0209237
+0.0205259
+0.0203574
+0.0204042
+0.0206587
+0.0211083
+0.0216585
+0.0223395
+0.0232081
+0.0241445
+0.0251482
+0.0261566
+0.027283
+0.0285217
+0.029858
+0.0312702
+0.0327519
+0.0340999
+0.0354875
+0.0369519
+0.0384413
+0.0399896
+0.0415638
+0.0431819
+0.044844
+0.0465167
+0.0482037
+0.0499078
+0.0516485
+0.0661108
+0.0646111
+0.0630882
+0.0615891
+0.0601251
+0.0586055
+0.0570714
+0.0555526
+0.0540581
+0.0526123
+0.051185
+0.0497828
+0.0484226
+0.0470826
+0.0458035
+0.044507
+0.0431925
+0.0418779
+0.0406389
+0.0394827
+0.0382239
+0.0370508
+0.0359495
+0.0349243
+0.0338662
+0.0328707
+0.0319046
+0.0310238
+0.0301891
+0.0292569
+0.0284134
+0.0275741
+0.026831
+0.0262321
+0.0255746
+0.0249351
+0.0243303
+0.0237541
+0.023252
+0.022826
+0.0225261
+0.022437
+0.0224521
+0.0224898
+0.0225615
+0.0227071
+0.0230563
+0.0235425
+0.0241851
+0.0249851
+0.0259111
+0.0267714
+0.0277064
+0.0287439
+0.0298539
+0.0310165
+0.0322501
+0.0335814
+0.0349993
+0.0359387
+0.0341121
+0.0323308
+0.0306026
+0.0289371
+0.0273458
+0.0258424
+0.0244431
+0.023146
+0.0219804
+0.0209704
+0.0201015
+0.0194419
+0.0190131
+0.018831
+0.0188798
+0.0191396
+0.0195617
+0.0201113
+0.0208429
+0.0216856
+0.0225731
+0.0234854
+0.0245391
+0.0257272
+0.0270083
+0.0283931
+0.0298688
+0.0312013
+0.0325862
+0.0340356
+0.0355164
+0.0370575
+0.0386262
+0.0402432
+0.0419064
+0.0435799
+0.0452629
+0.0469715
+0.0487187
+0.0504939
+0.0645819
+0.0630551
+0.0615589
+0.0600406
+0.058545
+0.0570869
+0.0555717
+0.0540403
+0.0525253
+0.0510362
+0.0495991
+0.0481751
+0.0467853
+0.0454374
+0.0441154
+0.0428542
+0.041563
+0.0402503
+0.0389595
+0.0377519
+0.0365949
+0.035368
+0.0342302
+0.0331779
+0.032159
+0.0311496
+0.0301866
+0.0292864
+0.0284711
+0.027654
+0.0268007
+0.025983
+0.0252261
+0.0245899
+0.0239717
+0.0233801
+0.022778
+0.0222489
+0.021741
+0.0212844
+0.0209835
+0.0208879
+0.0209109
+0.0208731
+0.0209318
+0.0211512
+0.0215503
+0.0220961
+0.0228003
+0.0236776
+0.0246725
+0.0257824
+0.026762
+0.0278395
+0.028986
+0.0301977
+0.0314634
+0.0328267
+0.0342758
+0.0351579
+0.0333033
+0.0314872
+0.02971
+0.0279915
+0.0263431
+0.0247789
+0.0233158
+0.0219523
+0.0207196
+0.0196546
+0.0187793
+0.0180985
+0.0176371
+0.0174339
+0.0174418
+0.0176773
+0.0181201
+0.0186932
+0.0193908
+0.0201237
+0.0209231
+0.02189
+0.0230015
+0.0242197
+0.0255679
+0.0270204
+0.0283426
+0.0297072
+0.0311532
+0.0326067
+0.0341361
+0.0357158
+0.0373303
+0.0389925
+0.0406671
+0.0423446
+0.0440575
+0.0458086
+0.0475883
+0.0493679
+0.0630866
+0.0615283
+0.0600038
+0.0585115
+0.0569984
+0.0555069
+0.0540536
+0.0525454
+0.0510172
+0.0495068
+0.048024
+0.046597
+0.0451772
+0.0438018
+0.0424683
+0.0411676
+0.0399259
+0.0386432
+0.0373275
+0.0360653
+0.034895
+0.0337433
+0.0325564
+0.0314596
+0.0304693
+0.0294599
+0.028502
+0.0275895
+0.0267474
+0.0259961
+0.0252215
+0.024429
+0.0237087
+0.0230172
+0.0224592
+0.0218956
+0.0212926
+0.0208068
+0.020354
+0.0198482
+0.0195501
+0.0194558
+0.0194944
+0.019312
+0.0193771
+0.0195861
+0.0199939
+0.0205798
+0.0213319
+0.0222287
+0.0232914
+0.0244805
+0.0258001
+0.0270676
+0.0282454
+0.0295192
+0.0308127
+0.0322035
+0.0336795
+0.0344961
+0.0326039
+0.0307514
+0.0289461
+0.0271898
+0.0254896
+0.0238696
+0.022347
+0.0209204
+0.0196231
+0.018495
+0.0175688
+0.0168478
+0.0163512
+0.0161339
+0.0161164
+0.0163537
+0.016778
+0.0173474
+0.0178692
+0.0185027
+0.0193496
+0.0203621
+0.0215159
+0.0228135
+0.0242334
+0.0255282
+0.0268571
+0.0282921
+0.0297284
+0.0312452
+0.0328346
+0.0344497
+0.0361083
+0.0377838
+0.0394538
+0.0411703
+0.0429213
+0.0447086
+0.0464778
+0.0482582
+0.061633
+0.0600369
+0.0584794
+0.0569574
+0.0554697
+0.0539625
+0.0524743
+0.0510245
+0.0495279
+0.0480037
+0.0464988
+0.0450235
+0.0436084
+0.0421937
+0.0408354
+0.039519
+0.0382424
+0.0370077
+0.0357499
+0.0344351
+0.0332075
+0.0320826
+0.0309391
+0.0298012
+0.028756
+0.0278185
+0.0268361
+0.0259497
+0.0250918
+0.0243332
+0.0236256
+0.02295
+0.0222122
+0.0215527
+0.0210142
+0.0204643
+0.0199374
+0.0194741
+0.0190584
+0.0185596
+0.0182405
+0.0181393
+0.0180436
+0.0178807
+0.0179115
+0.0181261
+0.018566
+0.0191594
+0.0199601
+0.0209093
+0.0220123
+0.0232311
+0.0245792
+0.0260414
+0.0275917
+0.0289787
+0.0303068
+0.0317198
+0.0332121
+0.033963
+0.0320393
+0.0301521
+0.0283087
+0.0265181
+0.0247919
+0.023128
+0.0215531
+0.0200755
+0.0187197
+0.0175336
+0.0165537
+0.0157864
+0.0152552
+0.0149839
+0.0149685
+0.0152121
+0.0155689
+0.0158651
+0.0162936
+0.0169803
+0.0178575
+0.0189254
+0.0201493
+0.0215138
+0.0227873
+0.0240682
+0.0254707
+0.0268991
+0.028398
+0.0299821
+0.0316057
+0.0332627
+0.0349288
+0.0365968
+0.0383105
+0.0400641
+0.0418423
+0.0436163
+0.0453948
+0.0471747
+0.0601973
+0.0585881
+0.0569925
+0.055436
+0.053917
+0.0524346
+0.0509342
+0.0494456
+0.0480043
+0.0465211
+0.0450016
+0.0435034
+0.0420371
+0.0406334
+0.0392248
+0.0378867
+0.0365944
+0.0353417
+0.0341213
+0.032868
+0.0315817
+0.0303968
+0.0293278
+0.0281966
+0.0271116
+0.0261401
+0.025226
+0.0243033
+0.0234767
+0.0226954
+0.0220332
+0.0213362
+0.0206712
+0.020079
+0.0196066
+0.0190956
+0.0186192
+0.0180194
+0.0176266
+0.0174518
+0.017112
+0.0169601
+0.0166278
+0.0164698
+0.0165342
+0.0168233
+0.0172373
+0.0178394
+0.0186571
+0.0196394
+0.0207804
+0.0220608
+0.0234761
+0.0250035
+0.026616
+0.028296
+0.0299338
+0.0313552
+0.0328613
+0.0335646
+0.0316167
+0.0297027
+0.0278295
+0.026006
+0.0242433
+0.0225389
+0.0209198
+0.0194131
+0.0180381
+0.0168043
+0.0157792
+0.0149712
+0.0143888
+0.0140778
+0.0140421
+0.0141878
+0.0141629
+0.0143596
+0.0148461
+0.0155311
+0.0164548
+0.0175813
+0.0188897
+0.0201502
+0.0213647
+0.0227213
+0.0241359
+0.0256091
+0.0271792
+0.0288032
+0.0304663
+0.0321038
+0.033777
+0.0354842
+0.037242
+0.0390099
+0.0407894
+0.0425643
+0.0443496
+0.0461502
+0.0588039
+0.0571555
+0.0555446
+0.0539541
+0.052399
+0.0508835
+0.0494072
+0.0479148
+0.046426
+0.0449947
+0.0435271
+0.0420136
+0.0405234
+0.0390681
+0.0376681
+0.0362767
+0.034963
+0.0337007
+0.0324768
+0.0312755
+0.0300276
+0.028779
+0.0276476
+0.0266485
+0.0255355
+0.0245159
+0.0236358
+0.0227328
+0.0218853
+0.0211579
+0.0204577
+0.0196713
+0.0190219
+0.0184903
+0.0180117
+0.0175747
+0.0171684
+0.01651
+0.0160732
+0.0159124
+0.0159015
+0.0158193
+0.0153751
+0.0152042
+0.0152937
+0.0156177
+0.0160114
+0.0166351
+0.017462
+0.0184778
+0.0196642
+0.0210127
+0.0224941
+0.0240714
+0.0257244
+0.0274528
+0.0292433
+0.031085
+0.0326539
+0.0333059
+0.0313419
+0.02941
+0.0275169
+0.0256712
+0.0238838
+0.0221518
+0.0205021
+0.0189623
+0.0175557
+0.0163097
+0.0152775
+0.0143853
+0.0137747
+0.0134493
+0.0129958
+0.0126369
+0.0126003
+0.0128895
+0.0134405
+0.0142017
+0.0151403
+0.0163
+0.0175847
+0.0187697
+0.0200679
+0.0214642
+0.0228998
+0.0244476
+0.0260677
+0.0277337
+0.0293337
+0.0310017
+0.032707
+0.0344672
+0.0362209
+0.0380048
+0.0397738
+0.0415634
+0.0433359
+0.0451139
+0.057405
+0.0557703
+0.0541201
+0.0525074
+0.0509215
+0.0493695
+0.0478584
+0.0463892
+0.0448992
+0.0434175
+0.0419979
+0.0405487
+0.0390426
+0.0375625
+0.0361209
+0.0347261
+0.0333558
+0.0320721
+0.0308468
+0.0296565
+0.0284817
+0.0272415
+0.0260433
+0.0249802
+0.0240452
+0.0229836
+0.0220485
+0.0212547
+0.0203639
+0.0195719
+0.0187968
+0.0180881
+0.0174654
+0.0169432
+0.0165013
+0.0160487
+0.0155668
+0.0151333
+0.0146555
+0.0144958
+0.0146061
+0.0146844
+0.014236
+0.0141004
+0.0142545
+0.0145834
+0.0149143
+0.015526
+0.0163932
+0.0174565
+0.0187169
+0.0201373
+0.0216636
+0.0232815
+0.0249539
+0.0266875
+0.0284841
+0.0303124
+0.0321751
+0.0331901
+0.0312188
+0.0292788
+0.0273766
+0.0255207
+0.023722
+0.0219773
+0.0203134
+0.0187581
+0.0173349
+0.0160719
+0.0150236
+0.014115
+0.012999
+0.0119982
+0.0113037
+0.0109282
+0.0109079
+0.0112419
+0.0118622
+0.012722
+0.0137676
+0.0149685
+0.0163149
+0.0175213
+0.0189054
+0.020302
+0.0218142
+0.0234186
+0.0250552
+0.0266359
+0.0282935
+0.0299928
+0.0317401
+0.0334864
+0.0352673
+0.0370281
+0.0388237
+0.0405629
+0.042339
+0.0441414
+0.0560381
+0.0543717
+0.052734
+0.0510922
+0.0494779
+0.0478928
+0.0463471
+0.0448419
+0.0433825
+0.0418956
+0.0404226
+0.039017
+0.0375883
+0.0360931
+0.0346257
+0.0332011
+0.0318136
+0.0304699
+0.0292237
+0.0280391
+0.0268736
+0.0257085
+0.02453
+0.0233982
+0.0224238
+0.0215402
+0.0205684
+0.0196727
+0.0187839
+0.0179411
+0.0172382
+0.0165441
+0.0159507
+0.0154397
+0.0150372
+0.0144683
+0.0139451
+0.0137207
+0.0134468
+0.0132733
+0.0133777
+0.0134563
+0.013114
+0.0130061
+0.013173
+0.0135304
+0.0139156
+0.0145533
+0.0154146
+0.0165028
+0.017769
+0.0191637
+0.0206876
+0.0223228
+0.0240238
+0.0257827
+0.0276034
+0.0294633
+0.0313633
+0.0332186
+0.0312492
+0.0293111
+0.0274112
+0.0255578
+0.023762
+0.0220204
+0.02036
+0.0188086
+0.0173895
+0.0158275
+0.0142524
+0.0128224
+0.0115745
+0.0104787
+0.00971561
+0.00931617
+0.00934793
+0.00975403
+0.0104581
+0.0114182
+0.0125397
+0.013809
+0.0151779
+0.016463
+0.0178544
+0.0193179
+0.0208765
+0.0224848
+0.0240349
+0.0256737
+0.0273603
+0.0290788
+0.0308158
+0.0325753
+0.0343344
+0.0360942
+0.037832
+0.0396028
+0.0413889
+0.043157
+0.0546833
+0.0530117
+0.0513431
+0.0497053
+0.0480733
+0.0464573
+0.0448726
+0.0433305
+0.0418315
+0.0403896
+0.0389064
+0.0374444
+0.0360559
+0.0346395
+0.0331707
+0.0317136
+0.0303167
+0.0289398
+0.02763
+0.0264315
+0.0252691
+0.0241573
+0.0230157
+0.0219026
+0.0208583
+0.0199626
+0.0189864
+0.0180795
+0.0171569
+0.01638
+0.0156888
+0.0149945
+0.0144295
+0.0140557
+0.0136435
+0.0130032
+0.0124651
+0.0122336
+0.0122055
+0.0119159
+0.0119008
+0.0118947
+0.0118711
+0.012037
+0.0123845
+0.012461
+0.0128059
+0.0134506
+0.0143385
+0.0154274
+0.0167282
+0.0181926
+0.0197544
+0.021416
+0.0231642
+0.0249671
+0.0267811
+0.0286479
+0.0305577
+0.032503
+0.0310068
+0.0290036
+0.0270295
+0.0250915
+0.0231984
+0.0213607
+0.0195374
+0.0177697
+0.0161059
+0.014452
+0.0128944
+0.0114012
+0.0100612
+0.00899142
+0.00823626
+0.00786194
+0.00794103
+0.00845483
+0.00930727
+0.0101981
+0.0113652
+0.0127522
+0.0142437
+0.0155669
+0.0170024
+0.0184947
+0.020064
+0.0215657
+0.0231722
+0.0248314
+0.0265016
+0.028222
+0.0299507
+0.0316291
+0.033367
+0.0350816
+0.036806
+0.0385391
+0.0403079
+0.0420933
+0.053176
+0.051643
+0.0499941
+0.0483207
+0.0466858
+0.0450651
+0.0434477
+0.0418638
+0.0403262
+0.0388349
+0.0374071
+0.0359342
+0.0344874
+0.0331198
+0.0317191
+0.0302832
+0.0288301
+0.0274703
+0.0261125
+0.0248439
+0.0237026
+0.0225846
+0.0215015
+0.0204382
+0.0193897
+0.0183166
+0.0173404
+0.0164423
+0.0156123
+0.0148293
+0.0141684
+0.0135207
+0.0130519
+0.0126182
+0.012196
+0.0115135
+0.0111284
+0.0109638
+0.0106389
+0.0103937
+0.0104745
+0.0104689
+0.0104702
+0.0108457
+0.0113005
+0.0112553
+0.0115563
+0.0122476
+0.0131807
+0.0143407
+0.0156916
+0.0171903
+0.018799
+0.0205027
+0.0222917
+0.0241108
+0.0259847
+0.0279048
+0.0298606
+0.031829
+0.0301341
+0.0281348
+0.0261297
+0.0241194
+0.0221434
+0.0202117
+0.0183382
+0.0165256
+0.0147435
+0.0130589
+0.0114541
+0.00996221
+0.00861087
+0.00748491
+0.00670738
+0.00645526
+0.00670046
+0.00738961
+0.00831317
+0.00919642
+0.0104605
+0.0119505
+0.0134479
+0.0147549
+0.0161842
+0.0174832
+0.0189351
+0.0204928
+0.0221579
+0.0239079
+0.0256185
+0.0272184
+0.0288894
+0.0305964
+0.03229
+0.0339965
+0.0357249
+0.037482
+0.0392701
+0.0410589
+0.0516805
+0.0501341
+0.0486086
+0.046987
+0.045308
+0.0436721
+0.0420699
+0.0404515
+0.038869
+0.0373373
+0.0358555
+0.0344419
+0.0329834
+0.0315574
+0.030216
+0.0288358
+0.0274291
+0.0259961
+0.0246696
+0.0233492
+0.0221359
+0.0210622
+0.02002
+0.0189724
+0.0177864
+0.0167261
+0.0157221
+0.0148426
+0.0139979
+0.0132272
+0.0125831
+0.0121541
+0.0117582
+0.0111516
+0.0105542
+0.0101955
+0.00982384
+0.00949342
+0.00908915
+0.00892182
+0.00913743
+0.00916281
+0.00925866
+0.00969599
+0.00994518
+0.0100449
+0.0102909
+0.0109308
+0.0119062
+0.0131753
+0.0146213
+0.0161988
+0.0178591
+0.0196219
+0.0214352
+0.0233116
+0.0252386
+0.0271921
+0.0291515
+0.0311417
+0.0293389
+0.0272813
+0.0252462
+0.0232393
+0.0212624
+0.0192425
+0.0172642
+0.0153438
+0.0135059
+0.0117297
+0.0100287
+0.00852234
+0.00711025
+0.00601993
+0.00529871
+0.0051516
+0.00553953
+0.00646571
+0.00737541
+0.00838452
+0.00976338
+0.0113635
+0.0125946
+0.0137106
+0.0149167
+0.016304
+0.0178517
+0.0194962
+0.0211783
+0.0227522
+0.0244213
+0.0261675
+0.0278655
+0.0295061
+0.0312142
+0.0329354
+0.0346977
+0.0364407
+0.0381954
+0.039993
+0.0502335
+0.0486437
+0.0470995
+0.0455788
+0.0439675
+0.0423053
+0.0406667
+0.0390692
+0.0374718
+0.0358918
+0.0343677
+0.0328981
+0.0315023
+0.0300618
+0.0286628
+0.027355
+0.026002
+0.0246287
+0.0232296
+0.0219443
+0.0206791
+0.0195441
+0.0185375
+0.0173926
+0.0162705
+0.0151433
+0.014179
+0.0132449
+0.0123977
+0.0116978
+0.0111659
+0.010678
+0.0102994
+0.00958428
+0.00904221
+0.00871482
+0.00842359
+0.00786544
+0.00758075
+0.00756715
+0.00783023
+0.00783915
+0.00806318
+0.0085809
+0.00866133
+0.00873708
+0.00901885
+0.00971796
+0.0107259
+0.0120469
+0.0135672
+0.015215
+0.0169859
+0.0188088
+0.0206459
+0.0225262
+0.0244555
+0.0264255
+0.0284279
+0.0304562
+0.0286098
+0.0265448
+0.0244821
+0.0224136
+0.0203633
+0.0183455
+0.0163722
+0.0143803
+0.0124004
+0.0105045
+0.00874748
+0.00705565
+0.00559923
+0.00447051
+0.00384099
+0.00392622
+0.00456829
+0.00576888
+0.00664511
+0.00763084
+0.00902218
+0.0103711
+0.0115251
+0.0125819
+0.0138655
+0.0153481
+0.0169536
+0.018393
+0.019946
+0.0216098
+0.0233607
+0.0251395
+0.0267679
+0.028454
+0.0301599
+0.0319063
+0.0336122
+0.0353714
+0.0371765
+0.0389841
+0.0487935
+0.0472031
+0.0456152
+0.0440737
+0.0425579
+0.0409532
+0.0393175
+0.0376763
+0.0360827
+0.034513
+0.0329369
+0.031423
+0.0299691
+0.0285962
+0.0271793
+0.0258155
+0.0245398
+0.0232284
+0.0218942
+0.0205477
+0.0193316
+0.0181438
+0.0170966
+0.0158232
+0.0146996
+0.0135999
+0.0126187
+0.0117348
+0.0108847
+0.0102387
+0.00975161
+0.00933819
+0.00862578
+0.00802529
+0.00762653
+0.007422
+0.00682049
+0.00627764
+0.00612431
+0.00633005
+0.00661416
+0.00653997
+0.0069175
+0.00717733
+0.00734074
+0.00763931
+0.00786084
+0.00858468
+0.00970469
+0.0111161
+0.0126863
+0.0143057
+0.0160612
+0.0179128
+0.0198175
+0.0217581
+0.0237322
+0.0257414
+0.0277781
+0.0298322
+0.0279821
+0.0258673
+0.023766
+0.0216824
+0.0196221
+0.0175612
+0.0154904
+0.0134552
+0.0114774
+0.00955533
+0.00758139
+0.00576621
+0.00415641
+0.00291168
+0.00243418
+0.00274447
+0.0037923
+0.00510595
+0.00557684
+0.0065422
+0.00780317
+0.00905869
+0.0102106
+0.0115953
+0.0130731
+0.0143847
+0.0157251
+0.0172402
+0.0188882
+0.0205937
+0.0223038
+0.0240832
+0.0257547
+0.0274535
+0.0291317
+0.0308354
+0.0325973
+0.0343957
+0.036198
+0.0379546
+0.0473468
+0.0457586
+0.044182
+0.0425967
+0.0410588
+0.0395491
+0.0379523
+0.0363482
+0.0347048
+0.0331168
+0.0315809
+0.0300109
+0.0285108
+0.0270777
+0.0257349
+0.0243498
+0.0230331
+0.0217905
+0.0205232
+0.0192431
+0.0179703
+0.0167893
+0.0155336
+0.0143659
+0.0131643
+0.0121191
+0.0111461
+0.0101933
+0.009471
+0.00891826
+0.00835195
+0.00792356
+0.00708804
+0.00650354
+0.00627692
+0.00590905
+0.0052299
+0.00479504
+0.00479812
+0.00500467
+0.00523672
+0.00528561
+0.00584011
+0.00585366
+0.00613285
+0.00668069
+0.00688398
+0.00762038
+0.00872131
+0.0101214
+0.0117249
+0.0134392
+0.0152324
+0.0171182
+0.0190694
+0.0210562
+0.0230511
+0.0250787
+0.0270943
+0.0291062
+0.0272612
+0.0252127
+0.0231902
+0.0210696
+0.0189503
+0.0168409
+0.0147551
+0.0127047
+0.010641
+0.00857422
+0.00658798
+0.004738
+0.00295629
+0.00151686
+0.00101886
+0.00180249
+0.00287092
+0.00396765
+0.00434505
+0.00527072
+0.00669434
+0.00774463
+0.00892399
+0.0103427
+0.0118677
+0.0132446
+0.0146744
+0.0162156
+0.0178331
+0.0195423
+0.0213236
+0.0230228
+0.0247153
+0.0264291
+0.0281259
+0.0298776
+0.0316606
+0.033375
+0.0351341
+0.0369228
+0.0459583
+0.0443207
+0.0427326
+0.0411723
+0.0395905
+0.0380572
+0.0365551
+0.0349683
+0.0333863
+0.0317575
+0.0301774
+0.0286546
+0.0271231
+0.0256422
+0.0242375
+0.0229352
+0.0215941
+0.0203407
+0.019148
+0.0179327
+0.0166298
+0.0153398
+0.0140056
+0.0128528
+0.0117261
+0.0106454
+0.00971471
+0.0087897
+0.00807869
+0.00756152
+0.00700155
+0.00629469
+0.00551335
+0.0050932
+0.00508945
+0.0043372
+0.00367189
+0.00337993
+0.00345125
+0.00389123
+0.00393826
+0.00416021
+0.00451236
+0.00454209
+0.00480993
+0.00548581
+0.00575036
+0.00651584
+0.00776734
+0.00921359
+0.0108283
+0.0126075
+0.0144514
+0.016381
+0.0183692
+0.0203264
+0.0223037
+0.0243172
+0.026349
+0.0283756
+0.0265381
+0.0245113
+0.0224256
+0.0203621
+0.018328
+0.0162719
+0.0141675
+0.0120375
+0.0099192
+0.00782839
+0.00579245
+0.00370992
+0.00174994
+0.000317772
+-0.000192152
+0.000927071
+0.0016073
+0.00278459
+0.00325356
+0.00416216
+0.00546702
+0.00644016
+0.00765507
+0.00909121
+0.0106433
+0.0122203
+0.0136054
+0.0151741
+0.0168506
+0.01848
+0.0201348
+0.0218314
+0.0236094
+0.0253485
+0.0271526
+0.0289003
+0.030603
+0.0323551
+0.0341289
+0.0359404
+0.044622
+0.0429461
+0.0413053
+0.0397175
+0.0381768
+0.0365996
+0.0350724
+0.03358
+0.0320061
+0.0304278
+0.0288419
+0.0272723
+0.0257651
+0.0242873
+0.0228335
+0.0214688
+0.0202227
+0.0189446
+0.0177651
+0.0164808
+0.0151241
+0.013881
+0.0126169
+0.0113856
+0.0103423
+0.00924621
+0.00828707
+0.00743287
+0.00682971
+0.00619136
+0.00568096
+0.00472351
+0.00414621
+0.00387529
+0.00356094
+0.0027346
+0.0021254
+0.00195348
+0.00221404
+0.00283919
+0.00262358
+0.00307002
+0.00320903
+0.00331569
+0.00357718
+0.00431084
+0.00466533
+0.00540907
+0.00664038
+0.00817181
+0.00994321
+0.0117839
+0.013636
+0.0155506
+0.0175291
+0.0195156
+0.0215239
+0.0235447
+0.025591
+0.0276594
+0.0258429
+0.0237631
+0.0217052
+0.019676
+0.0176249
+0.0155415
+0.0134922
+0.0114596
+0.00935159
+0.00727141
+0.00514487
+0.00300589
+0.000900975
+-0.000964423
+-0.000752765
+-0.000371179
+0.000470783
+0.00163642
+0.00201851
+0.00303763
+0.00413081
+0.0051883
+0.00639411
+0.0078486
+0.0094094
+0.0110239
+0.0126716
+0.0141192
+0.0157265
+0.0173196
+0.019015
+0.0207073
+0.0224569
+0.0242782
+0.0260686
+0.0278931
+0.0296171
+0.031385
+0.0331634
+0.034969
+0.0432854
+0.0416187
+0.039947
+0.038303
+0.0367161
+0.035187
+0.0336281
+0.032109
+0.0306293
+0.0290722
+0.0275
+0.0259685
+0.0244002
+0.0229122
+0.0215238
+0.0200964
+0.0187853
+0.0176081
+0.0164257
+0.0150819
+0.0136799
+0.0124287
+0.0112419
+0.0100747
+0.00895702
+0.00788178
+0.00684772
+0.00613736
+0.00539708
+0.00495042
+0.00393656
+0.00301592
+0.00256956
+0.00286711
+0.00190088
+0.00109701
+0.000571816
+0.000572303
+0.00118459
+0.00163906
+0.00139915
+0.00208272
+0.0019205
+0.00212679
+0.00248384
+0.00318542
+0.0036184
+0.00432538
+0.00562589
+0.00726353
+0.00900674
+0.0108825
+0.0127837
+0.0147327
+0.0167265
+0.0187489
+0.0208034
+0.022881
+0.0249637
+0.0268687
+0.0249905
+0.0230924
+0.0210784
+0.0189823
+0.0169066
+0.0148578
+0.0128557
+0.0107914
+0.00872642
+0.00669321
+0.00457543
+0.00246209
+0.000378662
+-0.00166289
+-0.00170518
+-0.000690854
+-0.000753136
+0.0003899
+0.000787046
+0.00188498
+0.00293074
+0.00396324
+0.00512461
+0.00655122
+0.00815419
+0.00986777
+0.0115358
+0.0130312
+0.0146059
+0.0162176
+0.0178703
+0.0196094
+0.0213555
+0.0231528
+0.0249981
+0.0268134
+0.0286431
+0.0304343
+0.0322431
+0.034069
+0.0419622
+0.0402807
+0.0386166
+0.0369643
+0.0353173
+0.0337264
+0.0322026
+0.0306817
+0.0291737
+0.0276995
+0.0261762
+0.024614
+0.0231373
+0.0215825
+0.0201247
+0.0188096
+0.0174563
+0.0162236
+0.0150307
+0.0136369
+0.0123474
+0.0110389
+0.00979298
+0.00860138
+0.00749898
+0.00647169
+0.00551507
+0.00475698
+0.00411893
+0.00358712
+0.00231343
+0.00140795
+0.00123062
+0.00119217
+0.000216216
+-0.000538238
+-0.000929022
+-0.000566674
+0.000283457
+0.000299343
+0.000454265
+0.000724313
+0.000619488
+0.00092319
+0.00141457
+0.00225855
+0.00253503
+0.00332309
+0.00460212
+0.00633532
+0.00811922
+0.010016
+0.0119735
+0.0139874
+0.0160437
+0.0180975
+0.0200692
+0.0220584
+0.0240623
+0.025734
+0.0239043
+0.0220239
+0.0201623
+0.0182879
+0.0163613
+0.0142514
+0.0121672
+0.0101086
+0.00811751
+0.0061209
+0.00405695
+0.00197901
+-1.46129e-05
+-0.00176666
+-0.000679345
+0.000636473
+-0.000529942
+-0.000826374
+-0.000427943
+0.000777983
+0.00177941
+0.00266849
+0.00387897
+0.00532011
+0.006979
+0.00869513
+0.0105306
+0.0119572
+0.0134734
+0.0150907
+0.016739
+0.0184857
+0.020291
+0.0220624
+0.0238542
+0.0256973
+0.0275012
+0.0293534
+0.0312494
+0.0331226
+0.0406792
+0.038958
+0.0372753
+0.0356239
+0.0339864
+0.0323464
+0.0307542
+0.0292396
+0.0277658
+0.0262378
+0.0247703
+0.0233261
+0.0217676
+0.0203154
+0.0188531
+0.0174424
+0.0162059
+0.0149925
+0.0136422
+0.0122059
+0.0109308
+0.00969621
+0.00836627
+0.00718662
+0.00601092
+0.00502377
+0.0041513
+0.00349895
+0.00289676
+0.0021079
+0.000708227
+-7.31876e-05
+0.000303245
+-0.000538286
+-0.000694997
+-0.000408325
+-0.000359774
+-0.000648962
+-0.000603133
+-0.00117418
+-0.000280867
+-0.000559194
+-0.000640021
+-0.000244295
+0.000417323
+0.00141892
+0.00166039
+0.00225448
+0.00372766
+0.00542074
+0.00725996
+0.00923588
+0.011286
+0.013242
+0.0151775
+0.0171744
+0.0191938
+0.0210871
+0.0230332
+0.0246907
+0.0227773
+0.0209184
+0.0190842
+0.0172096
+0.0153787
+0.0135511
+0.0117741
+0.00965587
+0.00757893
+0.00558953
+0.00363434
+0.00169251
+-6.00566e-05
+-0.00106453
+0.000171981
+0.00183905
+-9.24793e-05
+-0.00198063
+-0.0016344
+-0.000212804
+0.000599591
+0.00141891
+0.00264627
+0.00410952
+0.00583715
+0.00756446
+0.00937278
+0.0108726
+0.012336
+0.0139517
+0.0156885
+0.01739
+0.0191204
+0.0209183
+0.022732
+0.0245531
+0.0264304
+0.0283526
+0.0302724
+0.0322103
+0.0394225
+0.0377001
+0.0359698
+0.0342864
+0.032647
+0.0310302
+0.0293979
+0.0278095
+0.0263077
+0.0248488
+0.0233295
+0.0218876
+0.0204989
+0.0189949
+0.0175868
+0.0162395
+0.0149036
+0.0135218
+0.0122047
+0.0108515
+0.00955203
+0.00831458
+0.00694293
+0.00568449
+0.00458551
+0.00356897
+0.00282742
+0.00217199
+0.001609
+0.000518278
+-0.000521095
+-0.000920944
+-0.0011792
+-6.65907e-05
+0.000706703
+0.00105753
+0.000922466
+0.000522535
+-0.00112342
+-0.00225147
+-0.000355623
+0.000194779
+-1.50618e-05
+-0.000536886
+-0.000505552
+0.000479009
+0.000886881
+0.00141977
+0.00280868
+0.00461094
+0.00656778
+0.0083737
+0.0102921
+0.0123018
+0.0143457
+0.0162132
+0.018153
+0.020126
+0.0221399
+0.0235394
+0.0216873
+0.0198497
+0.017955
+0.0161355
+0.0142878
+0.0124396
+0.0106997
+0.00898913
+0.00709017
+0.00518807
+0.00323185
+0.00155126
+0.000304663
+-0.000114888
+0.0010356
+0.0025546
+0.000515275
+-0.00126746
+-0.00209571
+-0.000703113
+-0.000574221
+0.000151039
+0.00137467
+0.00292313
+0.0046343
+0.00645326
+0.00823452
+0.0097488
+0.0113188
+0.0128603
+0.0144948
+0.0162108
+0.0180103
+0.019794
+0.021647
+0.0235496
+0.0254454
+0.0273744
+0.0293371
+0.0313186
+0.0381095
+0.0364007
+0.0347418
+0.0330018
+0.0313174
+0.0296772
+0.0280881
+0.0264771
+0.0249019
+0.0234186
+0.0219751
+0.0204662
+0.0190603
+0.0177464
+0.016194
+0.0147167
+0.0133515
+0.0119385
+0.0105597
+0.00926201
+0.00801863
+0.00675878
+0.00542214
+0.0041926
+0.00313237
+0.00214033
+0.00143509
+0.000824901
+0.000194476
+-0.000607354
+-0.000936932
+-0.00153967
+-8.19633e-05
+0.00156819
+0.00211675
+0.00234496
+0.00217108
+0.000366774
+-0.00168346
+-0.00128163
+0.000561525
+0.00140977
+0.00108313
+0.000362358
+-0.000832828
+-0.000551247
+4.99755e-05
+0.000621811
+0.00200792
+0.00355607
+0.00543062
+0.00746341
+0.00940412
+0.0113605
+0.0132722
+0.0152472
+0.0172744
+0.0192778
+0.0212405
+0.0225417
+0.0206001
+0.0187135
+0.0169005
+0.0150442
+0.013187
+0.0114442
+0.00954908
+0.0078054
+0.00629409
+0.00454417
+0.00295777
+0.00166624
+0.000799687
+0.00103021
+0.00212751
+0.00310971
+0.00117649
+-0.000410888
+-0.00121108
+-0.000247918
+-0.000161592
+-0.00115461
+0.000103179
+0.00174196
+0.0034208
+0.00522964
+0.00707561
+0.00872337
+0.0100894
+0.0116536
+0.01338
+0.0150992
+0.0169061
+0.0187854
+0.0206522
+0.0225656
+0.024518
+0.0264976
+0.0285081
+0.0305434
+0.0368569
+0.0351036
+0.0333929
+0.0317306
+0.03006
+0.0283712
+0.0267364
+0.0251607
+0.023597
+0.0220394
+0.0205905
+0.0191596
+0.0176654
+0.0163124
+0.0147406
+0.0132312
+0.0117883
+0.0104849
+0.00896612
+0.00759611
+0.00635954
+0.00512303
+0.00390812
+0.00270034
+0.00165073
+0.000669418
+-2.9861e-05
+-0.000420038
+0.000160918
+4.87157e-05
+-0.00148661
+-0.000154066
+0.00155206
+0.00296697
+0.00357778
+0.00349701
+0.00170814
+-0.000202128
+-0.00146229
+-5.65423e-05
+0.00158991
+0.00248201
+0.00205377
+0.00120274
+5.92782e-05
+-0.00124967
+-0.000940271
+-0.000485872
+0.000777058
+0.00279225
+0.00461012
+0.0065749
+0.00841202
+0.0103872
+0.0124347
+0.0143827
+0.0163459
+0.0183606
+0.0204116
+0.0214596
+0.0195769
+0.0177149
+0.0157876
+0.0139384
+0.0121883
+0.0103264
+0.00856742
+0.00684267
+0.00511135
+0.00374439
+0.00247042
+0.00154006
+0.000775629
+0.00140921
+0.00262424
+0.00364834
+0.00184325
+0.00045715
+-0.000370855
+0.00021336
+0.000931988
+-0.000156419
+-0.00113858
+0.000462072
+0.00222378
+0.00403636
+0.00580745
+0.00748411
+0.00896923
+0.0105808
+0.0122677
+0.0140796
+0.0159231
+0.0178056
+0.019738
+0.0217113
+0.0237229
+0.0257637
+0.0277524
+0.0297138
+0.0355574
+0.0338744
+0.0321149
+0.0304024
+0.028735
+0.0271014
+0.02546
+0.0238356
+0.0222794
+0.0207631
+0.0192242
+0.0177979
+0.016403
+0.0148832
+0.0133213
+0.0117789
+0.0103076
+0.00885441
+0.00744533
+0.00595942
+0.00470548
+0.00348184
+0.00232889
+0.0011422
+0.000199998
+-0.000668319
+0.000164799
+0.000909621
+0.00113226
+-0.000378839
+-0.000214607
+0.0012339
+0.00290837
+0.00459993
+0.00488093
+0.00387053
+0.0019888
+0.000470366
+-8.0986e-05
+0.00103777
+0.00282378
+0.00342676
+0.00284047
+0.00197123
+0.000817996
+-0.00123221
+-0.00195487
+-0.00126104
+0.000115918
+0.00201898
+0.00365437
+0.00559455
+0.00761205
+0.00949091
+0.0114546
+0.0134883
+0.0155648
+0.0175565
+0.0195323
+0.0203422
+0.0185116
+0.0166078
+0.0147566
+0.0129422
+0.0110352
+0.00924435
+0.00761424
+0.00585458
+0.00429065
+0.00289555
+0.00185683
+0.00123244
+0.0014873
+0.00197715
+0.003139
+0.00414991
+0.00249132
+0.00118887
+0.00043367
+0.000684795
+0.00200056
+0.00110904
+-0.000199174
+-0.000783973
+0.00102514
+0.00276516
+0.0045612
+0.00635936
+0.00781162
+0.00947879
+0.0112626
+0.0131169
+0.0150345
+0.0169892
+0.0189955
+0.0210153
+0.0229251
+0.0248813
+0.0268117
+0.028755
+0.0341842
+0.0325155
+0.0308674
+0.0291489
+0.0274279
+0.0257471
+0.0241159
+0.0225673
+0.0209848
+0.0194648
+0.0179569
+0.0163555
+0.0148406
+0.0134024
+0.0119288
+0.0103002
+0.00883796
+0.00730634
+0.00592423
+0.00444934
+0.0031278
+0.00188465
+0.000712456
+-0.000363214
+-0.00026357
+0.000705539
+0.00147858
+0.00232808
+0.00112974
+0.000462633
+0.00111683
+0.00254004
+0.00418488
+0.00593052
+0.00587826
+0.00438119
+0.00279593
+0.00172975
+0.00157079
+0.00236417
+0.00383195
+0.00445537
+0.00371632
+0.00261749
+0.000535495
+-0.00129702
+-0.00272409
+-0.00215722
+-0.000803006
+0.000994898
+0.002831
+0.00461281
+0.00657407
+0.00864581
+0.0107478
+0.0126606
+0.0146415
+0.016675
+0.0186379
+0.0192999
+0.0173598
+0.0154866
+0.013696
+0.0117948
+0.00995791
+0.00823668
+0.00642985
+0.00486256
+0.00351324
+0.00222638
+0.00154842
+0.0012658
+0.00193662
+0.0029986
+0.00414735
+0.00473347
+0.00311598
+0.00187133
+0.00110966
+0.00106794
+0.0023673
+0.00223192
+0.000972211
+-0.000546497
+-0.000219846
+0.00153429
+0.00344353
+0.00528893
+0.00688768
+0.00860017
+0.0104665
+0.0123662
+0.0143491
+0.0162542
+0.0181362
+0.0200808
+0.0219761
+0.023911
+0.025883
+0.0278821
+0.0328687
+0.0311465
+0.0294708
+0.0278232
+0.0261884
+0.0244553
+0.0227808
+0.0211613
+0.0196257
+0.0181754
+0.0165382
+0.0149242
+0.013323
+0.0118494
+0.010458
+0.00891103
+0.00734353
+0.00585182
+0.00443434
+0.00295772
+0.00162317
+0.000306151
+-0.000431091
+0.00047904
+0.00145429
+0.0021676
+0.00291447
+0.00242552
+0.00152314
+0.00176877
+0.00261969
+0.00390197
+0.00549332
+0.00718934
+0.00646095
+0.00470551
+0.00337624
+0.002669
+0.00289235
+0.00403633
+0.00525263
+0.00546795
+0.00465124
+0.00333959
+0.00122631
+-0.000926695
+-0.00222246
+-0.00288582
+-0.00132733
+-7.01543e-05
+0.00179467
+0.00394254
+0.00588902
+0.00776808
+0.00975856
+0.0118201
+0.0137016
+0.0156057
+0.0174163
+0.0184599
+0.0164208
+0.0144262
+0.0124975
+0.0106704
+0.00892603
+0.00703094
+0.00532334
+0.00376785
+0.00233687
+0.00142822
+0.000690412
+0.00136713
+0.00236839
+0.00368854
+0.00527398
+0.00541235
+0.0039479
+0.00280471
+0.00190356
+0.00197496
+0.00289411
+0.0033886
+0.00213368
+0.000651274
+-0.00108663
+0.000516136
+0.00246064
+0.00434802
+0.00626837
+0.00802809
+0.00982361
+0.0115899
+0.0134105
+0.0153161
+0.0171749
+0.0190839
+0.0210441
+0.0230458
+0.0250108
+0.0269562
+0.0315177
+0.0298501
+0.0281215
+0.0264362
+0.0247922
+0.0232013
+0.0215056
+0.0198424
+0.018241
+0.016724
+0.0151045
+0.0135053
+0.0118873
+0.0103292
+0.00890635
+0.00750979
+0.00595515
+0.00443602
+0.00293098
+0.00146079
+0.000146089
+6.12293e-05
+0.00126483
+0.0021334
+0.0029263
+0.00371632
+0.00365948
+0.0029116
+0.00252063
+0.00310654
+0.00416662
+0.00546695
+0.00689218
+0.00844254
+0.00678387
+0.00526938
+0.00411887
+0.00372433
+0.00420875
+0.00521909
+0.00663029
+0.00629866
+0.00558697
+0.00342094
+0.00123581
+-0.000806296
+-0.00151404
+-0.00290725
+-0.00218066
+-8.4727e-05
+0.00122538
+0.00289534
+0.00490669
+0.00702593
+0.00884247
+0.010779
+0.0125789
+0.0144368
+0.0163771
+0.0173687
+0.0155165
+0.0135909
+0.0115787
+0.0095779
+0.00768142
+0.00598734
+0.00422165
+0.00250166
+0.00118078
+9.55676e-05
+0.000483214
+0.00145457
+0.00290859
+0.00388942
+0.00536061
+0.00626815
+0.004953
+0.00399068
+0.00337209
+0.00327238
+0.00384843
+0.00451744
+0.00327789
+0.00182822
+9.38799e-05
+-0.000513066
+0.0013729
+0.00329681
+0.00535431
+0.00719423
+0.0088364
+0.0106099
+0.0124265
+0.0142926
+0.01624
+0.0182427
+0.0201466
+0.0220859
+0.0240535
+0.0260071
+0.0301911
+0.0284627
+0.0267897
+0.0251086
+0.0234182
+0.0217802
+0.0201924
+0.0185623
+0.0169296
+0.0153318
+0.0136587
+0.0120447
+0.0104933
+0.00889083
+0.00741953
+0.00595554
+0.00451937
+0.00301187
+0.00149745
+-1.67278e-05
+0.000150107
+0.00163684
+0.00290504
+0.0036715
+0.00445043
+0.00502752
+0.00402321
+0.00372931
+0.00396166
+0.00458243
+0.0056851
+0.00702148
+0.00847244
+0.00850967
+0.00705959
+0.00577561
+0.00490576
+0.00477223
+0.00541659
+0.00642153
+0.00770598
+0.0072128
+0.00585421
+0.00376712
+0.00187287
+0.000521649
+-0.00153549
+-0.00296545
+-0.00242423
+-0.00143334
+0.000275132
+0.00231499
+0.00402074
+0.00592137
+0.00778877
+0.00958961
+0.01152
+0.0135242
+0.015267
+0.016345
+0.0144092
+0.0125397
+0.010618
+0.00871142
+0.00679484
+0.00481998
+0.00301393
+0.00155511
+-0.000102543
+-0.000636586
+-4.85906e-05
+0.00143062
+0.00320346
+0.00478625
+0.00605266
+0.00727805
+0.00610238
+0.00531598
+0.00493485
+0.00470548
+0.00511226
+0.00570636
+0.00443424
+0.0028252
+0.000835666
+-0.00123023
+0.000432025
+0.00246531
+0.00441881
+0.00618176
+0.0078305
+0.00960996
+0.0114856
+0.0134142
+0.0153043
+0.0172315
+0.0191808
+0.0211307
+0.0231237
+0.0251174
+0.0289427
+0.0271577
+0.025418
+0.0237327
+0.0221053
+0.0204186
+0.0187962
+0.0172153
+0.015667
+0.0140691
+0.0122811
+0.0106126
+0.00899158
+0.0074565
+0.0058508
+0.00437745
+0.00295994
+0.00156464
+3.23219e-05
+0.000100844
+0.00163068
+0.00321613
+0.00433516
+0.00519256
+0.00598844
+0.00532429
+0.0048713
+0.00475822
+0.00533465
+0.00618753
+0.00721627
+0.00855439
+0.00994691
+0.00887546
+0.00751032
+0.00655975
+0.0059554
+0.00587309
+0.00637548
+0.00739289
+0.00884205
+0.00813212
+0.0067298
+0.00480809
+0.00263348
+0.000556472
+-0.000629967
+-0.00172317
+-0.00310097
+-0.00162327
+-0.000145965
+0.00111795
+0.00315496
+0.00480069
+0.00668917
+0.00872013
+0.0106147
+0.0123562
+0.0140264
+0.0143826
+0.0135065
+0.0115095
+0.00958393
+0.00774396
+0.00571958
+0.00385618
+0.00207913
+0.000105439
+-0.000763917
+-0.00155337
+1.51034e-05
+0.00175554
+0.00358
+0.00534571
+0.00714937
+0.00826194
+0.00718573
+0.00644967
+0.00608318
+0.00581647
+0.00612694
+0.00693912
+0.00546067
+0.00348013
+0.00139641
+-0.000666797
+-0.000464032
+0.00152116
+0.0035847
+0.00515103
+0.0068036
+0.00863058
+0.0105142
+0.0124119
+0.0143205
+0.0162663
+0.0182594
+0.020239
+0.0222581
+0.0243052
+0.0275829
+0.0258702
+0.0241407
+0.0223879
+0.0206878
+0.0190878
+0.0174332
+0.0158302
+0.0142896
+0.0127203
+0.0110059
+0.00926117
+0.00759626
+0.00597973
+0.00440688
+0.0028313
+0.00139678
+3.44352e-05
+-6.16941e-05
+0.00145745
+0.00313714
+0.00469914
+0.00575452
+0.0065927
+0.00649672
+0.00606759
+0.0059246
+0.00609236
+0.0066642
+0.00765913
+0.00883968
+0.0100542
+0.0107454
+0.00930438
+0.00815629
+0.0074779
+0.00713208
+0.00717304
+0.00770655
+0.00858505
+0.009654
+0.00884044
+0.00745434
+0.00540364
+0.00352024
+0.00197161
+0.000775003
+-0.000988142
+-0.0029009
+-0.00230247
+-0.000847765
+0.000666128
+0.00204167
+0.00399053
+0.00602545
+0.00774827
+0.00955841
+0.0112219
+0.0127313
+0.0122243
+0.0120775
+0.0108105
+0.00873214
+0.00671903
+0.00486194
+0.00294806
+0.000822278
+-0.00075654
+-0.0023395
+-0.00158404
+0.000473889
+0.0019479
+0.00367521
+0.00556421
+0.00757758
+0.00920207
+0.00817929
+0.00746522
+0.00700115
+0.00676449
+0.00708546
+0.00779236
+0.00597043
+0.00395937
+0.00210112
+0.000297974
+-0.00128756
+0.000747431
+0.00262453
+0.00408311
+0.0058291
+0.00768618
+0.00948198
+0.0114117
+0.0133913
+0.0153734
+0.0173991
+0.0194528
+0.021533
+0.023547
+0.0262504
+0.0245287
+0.0228046
+0.0211431
+0.0193766
+0.0176616
+0.0160589
+0.0144952
+0.0129086
+0.0112822
+0.0096752
+0.00793864
+0.00624455
+0.00458291
+0.00298322
+0.00141876
+-0.00012856
+-0.000319451
+0.00135841
+0.00295648
+0.00448119
+0.00620294
+0.00716974
+0.00783
+0.00722507
+0.00687213
+0.00699459
+0.00743539
+0.00813116
+0.00915488
+0.0103322
+0.01165
+0.0112193
+0.00994018
+0.00889292
+0.00822726
+0.00804709
+0.00824853
+0.00884089
+0.00979375
+0.0104263
+0.00960995
+0.00836574
+0.00657211
+0.00498484
+0.00356674
+0.00156111
+-9.30619e-05
+-0.00169453
+-0.00258312
+-0.00137029
+-2.98462e-05
+0.00197034
+0.00337044
+0.00505187
+0.0067929
+0.00850926
+0.0103564
+0.0106656
+0.01008
+0.00990138
+0.0101361
+0.00833113
+0.0062227
+0.00410896
+0.00206059
+0.000402104
+-0.00159424
+-0.00333897
+-0.0016698
+0.000103875
+0.00213884
+0.0043095
+0.00630918
+0.00814033
+0.0101066
+0.00916497
+0.00851715
+0.00802896
+0.00777108
+0.00796001
+0.00848463
+0.00645525
+0.00445898
+0.00259577
+0.000810294
+-0.000923146
+-2.5303e-05
+0.00174451
+0.00312035
+0.00476563
+0.00662208
+0.00854906
+0.0105184
+0.0125501
+0.0146277
+0.0166472
+0.0186646
+0.0206918
+0.0226734
+0.0249558
+0.0232033
+0.0214605
+0.0197491
+0.0180803
+0.0163932
+0.0146653
+0.0130624
+0.0115156
+0.00985032
+0.00819369
+0.0065895
+0.00489287
+0.00322734
+0.00162041
+4.8479e-06
+-0.000690467
+0.00104568
+0.00276767
+0.00435605
+0.00595122
+0.00754457
+0.00859515
+0.00826659
+0.00800653
+0.00804812
+0.00830567
+0.00873704
+0.00959118
+0.0105895
+0.0118113
+0.0129376
+0.0116748
+0.0105352
+0.00967757
+0.00921804
+0.009116
+0.00945413
+0.0100302
+0.0109623
+0.01127
+0.0104056
+0.00965017
+0.00805769
+0.006506
+0.00447711
+0.00256658
+0.000912274
+-0.00114121
+-0.00280467
+-0.00181045
+-0.000243154
+0.00103098
+0.00278753
+0.00434495
+0.00600802
+0.00787396
+0.00934603
+0.00866146
+0.00796091
+0.00773354
+0.00802372
+0.00745291
+0.00550961
+0.00349057
+0.00178385
+-0.000260422
+-0.00234039
+-0.00323291
+-0.0011039
+0.00096464
+0.00294992
+0.00488499
+0.00690048
+0.00898947
+0.0109812
+0.010302
+0.0097434
+0.00914684
+0.00877852
+0.00886294
+0.00911283
+0.00714991
+0.00503468
+0.00296251
+0.000984264
+-0.00066748
+-0.000875525
+0.000740797
+0.00204909
+0.00380103
+0.00570798
+0.00776222
+0.00978453
+0.0117567
+0.0137935
+0.0158025
+0.0177759
+0.0197801
+0.0218201
+0.0236731
+0.0218912
+0.0201535
+0.0183969
+0.0167093
+0.0150315
+0.0133886
+0.01172
+0.0101272
+0.00846646
+0.00676035
+0.00510669
+0.00350848
+0.00185799
+0.000282889
+-0.000939108
+0.000691375
+0.00238317
+0.00410373
+0.00575558
+0.00736445
+0.00896873
+0.00930596
+0.00891275
+0.0088493
+0.00911631
+0.00959991
+0.0102826
+0.0110495
+0.0120914
+0.0133099
+0.0132097
+0.0120288
+0.011048
+0.0103392
+0.00997137
+0.00999554
+0.0104017
+0.0112036
+0.0121132
+0.0121023
+0.0112829
+0.0107507
+0.00927727
+0.00729327
+0.00540206
+0.00364836
+0.00158787
+-0.000269179
+-0.00175935
+-0.00222675
+-0.0011882
+0.000364492
+0.00163733
+0.00355416
+0.00510469
+0.00667423
+0.00801209
+0.00676852
+0.00587977
+0.00558357
+0.00596801
+0.00653597
+0.00458904
+0.00265533
+0.000758366
+-0.00110278
+-0.0029178
+-0.00235331
+-0.000736545
+0.00102515
+0.00308125
+0.00523659
+0.00741269
+0.00959542
+0.0117613
+0.0114775
+0.0108626
+0.010189
+0.00981941
+0.00986467
+0.00973129
+0.00768723
+0.00564309
+0.00351856
+0.00144349
+-0.000506715
+-0.001721
+-0.000119322
+0.00117227
+0.00300416
+0.00489746
+0.00687767
+0.00891276
+0.0109203
+0.0128793
+0.0148979
+0.0169592
+0.0190436
+0.0209769
+0.0224789
+0.0206289
+0.0188336
+0.0170942
+0.0153471
+0.0136466
+0.0120005
+0.0104041
+0.0087946
+0.00719891
+0.00539486
+0.00367766
+0.00202433
+0.000433184
+-0.00101649
+0.000598853
+0.00215181
+0.00374955
+0.00542666
+0.00717464
+0.00880704
+0.0104185
+0.0101216
+0.00982238
+0.00988318
+0.0101832
+0.0108303
+0.0116463
+0.0126932
+0.0136286
+0.0148061
+0.0136814
+0.0125652
+0.0116702
+0.0110673
+0.0108008
+0.0108126
+0.0111645
+0.0118806
+0.0128926
+0.0129821
+0.012216
+0.0116158
+0.010219
+0.00837149
+0.00643736
+0.00446463
+0.00271029
+0.00128099
+-0.000549681
+-0.00225084
+-0.00157232
+-0.000254645
+0.00111455
+0.00253715
+0.00400847
+0.00562898
+0.00649972
+0.00500507
+0.00387226
+0.00348433
+0.00400636
+0.00528861
+0.0037065
+0.002005
+9.68507e-06
+-0.00157413
+-0.00262102
+-0.00150437
+0.000458077
+0.00226039
+0.00403425
+0.00591722
+0.00793011
+0.0100005
+0.0121133
+0.0125659
+0.0119582
+0.011252
+0.0108773
+0.0109142
+0.0103646
+0.00829516
+0.006271
+0.00415934
+0.00207216
+-4.04234e-05
+-0.00168388
+-0.00106149
+0.000138855
+0.0020132
+0.00401623
+0.00604038
+0.00798509
+0.0100317
+0.0120898
+0.0141316
+0.0161942
+0.0181642
+0.0201329
+0.0214414
+0.0194932
+0.0176021
+0.0157842
+0.0140201
+0.0123215
+0.01059
+0.00899597
+0.00744563
+0.0058794
+0.00418497
+0.00232983
+0.000599355
+-0.00104315
+0.000297306
+0.00194665
+0.00364719
+0.00512625
+0.00680775
+0.00845936
+0.0101204
+0.0113963
+0.011033
+0.0109417
+0.0110749
+0.0113452
+0.0119695
+0.0129064
+0.0140193
+0.0152101
+0.0155932
+0.014298
+0.0132407
+0.0124818
+0.012036
+0.0117911
+0.0118413
+0.0121636
+0.0128292
+0.0137722
+0.0140063
+0.0132276
+0.0126034
+0.0113107
+0.00932422
+0.00745314
+0.00575506
+0.00393961
+0.0020558
+0.000420634
+-0.00096902
+-0.0018417
+-0.000743289
+0.000243819
+0.00165907
+0.0031725
+0.00435816
+0.00533279
+0.00354234
+0.00213891
+0.00146499
+0.00227994
+0.00402316
+0.00272929
+0.00109024
+-0.000696061
+-0.00146659
+-0.000725864
+2.32577e-05
+0.00129839
+0.00296736
+0.00490326
+0.00687831
+0.00888057
+0.0108144
+0.0128168
+0.013714
+0.0129085
+0.0122393
+0.0118783
+0.0118476
+0.0110686
+0.00897984
+0.00687105
+0.00481091
+0.00271593
+0.000665568
+-0.000979335
+-0.00101382
+-0.000830162
+0.00109586
+0.00310437
+0.00522123
+0.00721139
+0.00929212
+0.0113978
+0.0133672
+0.0153229
+0.0172977
+0.0192629
+0.0205801
+0.0185476
+0.0165488
+0.0146051
+0.0127418
+0.0109559
+0.00929566
+0.00756499
+0.00598679
+0.00452564
+0.00305974
+0.00119934
+-0.000706775
+-0.00124458
+0.000779316
+0.00289337
+0.00497464
+0.00660202
+0.00815534
+0.00979372
+0.0114461
+0.0121543
+0.0118144
+0.0118501
+0.0122317
+0.0127565
+0.0133353
+0.0141924
+0.0153022
+0.0165747
+0.0161003
+0.01499
+0.0140161
+0.0133015
+0.0129093
+0.0128244
+0.0131102
+0.013415
+0.0140439
+0.0149123
+0.0150203
+0.0143144
+0.0135575
+0.0122516
+0.010505
+0.00879059
+0.00689887
+0.00511415
+0.00336953
+0.00149179
+0.000404062
+-0.00100186
+-0.000999661
+-8.11366e-05
+0.000982646
+0.00193938
+0.0030332
+0.00455684
+0.00282852
+0.00103962
+-0.000309488
+0.001073
+0.00305241
+0.00192829
+2.38561e-05
+-0.000532856
+0.000294976
+0.00076483
+0.00183101
+0.0029497
+0.00435749
+0.00596452
+0.00783908
+0.00971175
+0.0116954
+0.0137197
+0.0145352
+0.0136409
+0.0130241
+0.0127156
+0.0127076
+0.0110149
+0.00896563
+0.00696478
+0.00505971
+0.00325638
+0.00161135
+-8.98029e-05
+-0.000509666
+-0.000963609
+0.000387221
+0.00239323
+0.00451111
+0.00664847
+0.00861122
+0.0105756
+0.0124773
+0.0144338
+0.0164426
+0.0184805
+0.019637
+0.0176472
+0.015711
+0.0136725
+0.0116611
+0.00972749
+0.00791221
+0.0062182
+0.00456508
+0.00305918
+0.00182622
+2.75486e-05
+-0.00179199
+-0.000760775
+0.00125661
+0.00331514
+0.00541925
+0.00755891
+0.00963296
+0.0112125
+0.012812
+0.0128815
+0.0127788
+0.0129166
+0.0133066
+0.0139948
+0.0148526
+0.0156671
+0.0166829
+0.0174778
+0.0163352
+0.0153249
+0.0144725
+0.0139075
+0.0135459
+0.0135339
+0.0138466
+0.0144044
+0.0151953
+0.0162147
+0.0160923
+0.0154432
+0.014382
+0.0130298
+0.0115594
+0.0099408
+0.00814572
+0.00622019
+0.00449172
+0.00307366
+0.00173373
+0.000501212
+-8.76542e-05
+0.000862636
+0.000986285
+0.00131611
+0.00252246
+0.00386252
+0.00266672
+0.000636383
+-0.00152978
+0.000229529
+0.00216389
+0.00141185
+0.000122123
+0.000481444
+0.00168899
+0.00255819
+0.00339779
+0.00456048
+0.00584907
+0.00743351
+0.00902584
+0.0108203
+0.0126697
+0.0145803
+0.0153905
+0.0145834
+0.01395
+0.0136344
+0.0132234
+0.0111571
+0.009136
+0.00718045
+0.00530073
+0.00355083
+0.0020451
+0.000734107
+-8.52893e-05
+4.91484e-05
+-0.000238076
+0.00181302
+0.00376327
+0.00579573
+0.00775544
+0.00967261
+0.0116615
+0.0137101
+0.015791
+0.0178561
+0.018777
+0.016741
+0.0147494
+0.0127504
+0.0108251
+0.00882331
+0.00678908
+0.00489189
+0.0031631
+0.0016331
+0.000459043
+-0.00120731
+-0.00184176
+8.03255e-05
+0.00202918
+0.00402273
+0.00605061
+0.00807745
+0.0101382
+0.0122442
+0.013912
+0.0137171
+0.0138
+0.0139858
+0.0145039
+0.0152137
+0.0161197
+0.017244
+0.0181901
+0.0176978
+0.0165689
+0.0156568
+0.0149775
+0.0144419
+0.0141691
+0.0142228
+0.0145787
+0.0151906
+0.0159861
+0.0169919
+0.0171034
+0.0164066
+0.0152307
+0.0138962
+0.0125279
+0.010728
+0.0090503
+0.00746161
+0.0058922
+0.0044957
+0.00330568
+0.00234602
+0.00208135
+0.00212947
+0.00153057
+0.00129513
+0.00217128
+0.00194938
+0.00116074
+-0.000396276
+-0.00217539
+-0.000502391
+0.00119865
+0.000409374
+-4.49851e-05
+0.0014139
+0.00284555
+0.00417419
+0.00494674
+0.00593687
+0.0073347
+0.00886532
+0.010506
+0.012105
+0.0138505
+0.0156819
+0.0164736
+0.015604
+0.0149543
+0.0145968
+0.0135894
+0.0115714
+0.00961086
+0.00772454
+0.00591341
+0.00431638
+0.00298854
+0.00164164
+0.000704822
+0.00073907
+-0.000912656
+0.00111065
+0.00308517
+0.00498886
+0.00695976
+0.0089942
+0.0110161
+0.0130924
+0.0152009
+0.0172785
+0.017866
+0.0159391
+0.0139246
+0.0118649
+0.00986183
+0.00785586
+0.00595985
+0.00392684
+0.00195872
+0.000151944
+-0.0010209
+-0.0020838
+-0.000593642
+0.00114616
+0.0030309
+0.00495511
+0.00690992
+0.00889481
+0.010915
+0.0129176
+0.0147653
+0.014793
+0.0148761
+0.0151618
+0.0156956
+0.0164462
+0.0173932
+0.0185017
+0.0192353
+0.0180838
+0.0170415
+0.0161809
+0.0155563
+0.0152217
+0.0149823
+0.0150254
+0.0153314
+0.0159349
+0.0167889
+0.0178347
+0.0181162
+0.0174461
+0.0162602
+0.0149123
+0.0134871
+0.0118013
+0.010216
+0.0086932
+0.00736639
+0.00626067
+0.00512247
+0.00440595
+0.00426981
+0.00369218
+0.00273791
+0.00215599
+0.00147435
+0.000485861
+-0.000913319
+-0.0018839
+-0.00306528
+-0.00124066
+-0.000352925
+-0.000640838
+-0.000395231
+0.00094818
+0.002788
+0.00433962
+0.00618282
+0.00760083
+0.00877624
+0.0102359
+0.0119216
+0.0135482
+0.0151913
+0.016905
+0.0172589
+0.0165222
+0.0159744
+0.0156481
+0.0142149
+0.0122649
+0.0103644
+0.00858419
+0.00690106
+0.00539036
+0.00403988
+0.0023574
+0.00120812
+0.000953877
+-0.000610245
+0.000463103
+0.0023502
+0.00433209
+0.00638651
+0.00844556
+0.010492
+0.012542
+0.0145661
+0.016613
+0.0169055
+0.0149786
+0.013002
+0.0110752
+0.00909439
+0.00700804
+0.00497662
+0.00296826
+0.00106509
+-0.000864868
+-0.00253383
+-0.00107958
+0.000719448
+0.00237569
+0.00414106
+0.0059993
+0.00792373
+0.0098406
+0.0118006
+0.0137785
+0.015692
+0.0157484
+0.0160178
+0.0163679
+0.0169494
+0.0177231
+0.0186698
+0.019768
+0.0194906
+0.0184031
+0.0175232
+0.0168087
+0.0162106
+0.0158915
+0.0158204
+0.0160077
+0.0163245
+0.0168926
+0.0177151
+0.0187274
+0.0191647
+0.0184374
+0.0172233
+0.0160851
+0.0145925
+0.013004
+0.0115189
+0.0101282
+0.0089691
+0.00804718
+0.00708952
+0.00654749
+0.00645978
+0.00515331
+0.00376466
+0.00203901
+4.34743e-05
+-0.00129918
+-0.00230776
+-0.00348269
+-0.00427505
+-0.00309422
+-0.0025384
+-0.00260412
+-0.000902125
+0.000403434
+0.00213259
+0.00395278
+0.00591346
+0.00796841
+0.00992099
+0.0117245
+0.0132217
+0.0148917
+0.0165704
+0.0182807
+0.0179009
+0.017192
+0.0167068
+0.0164821
+0.0150323
+0.0131647
+0.0113681
+0.00968488
+0.00812081
+0.00641762
+0.00469729
+0.00307008
+0.00178714
+0.00135495
+-0.000430537
+-0.0001887
+0.00171369
+0.00371489
+0.00577936
+0.00784628
+0.00982804
+0.0118679
+0.0139331
+0.016031
+0.0159967
+0.014046
+0.0121442
+0.0101395
+0.0081669
+0.00620238
+0.00417599
+0.00214888
+0.000105977
+-0.00190306
+-0.00175513
+1.64415e-06
+0.00171868
+0.00346979
+0.00527675
+0.00713696
+0.00900724
+0.0108896
+0.0128172
+0.014734
+0.0166959
+0.0168485
+0.0171087
+0.0176282
+0.0182156
+0.0190119
+0.0199821
+0.0210843
+0.0199364
+0.0188746
+0.0180177
+0.0173454
+0.0168741
+0.0166795
+0.0166989
+0.0169152
+0.0174017
+0.017982
+0.0187569
+0.0197455
+0.0201108
+0.0194593
+0.0182892
+0.0172876
+0.0158601
+0.0143728
+0.0129783
+0.0117332
+0.0107032
+0.00993919
+0.00913912
+0.00871349
+0.00728071
+0.00514273
+0.00307973
+0.00115703
+-0.000865315
+-0.00280324
+-0.00392807
+-0.00517745
+-0.00598789
+-0.00515742
+-0.00472284
+-0.00301307
+-0.00109473
+0.000878325
+0.00229691
+0.00420969
+0.00628117
+0.00814186
+0.0100573
+0.0120668
+0.0139998
+0.0159924
+0.0179052
+0.0195215
+0.0186359
+0.0179561
+0.0174921
+0.0171936
+0.0160593
+0.0142628
+0.0125784
+0.0109502
+0.0091109
+0.00737338
+0.00558369
+0.00400912
+0.00289176
+0.00161694
+-0.000337948
+-0.000821267
+0.00113816
+0.00312034
+0.00512438
+0.00720191
+0.00921319
+0.0112913
+0.0133625
+0.0154505
+0.0152634
+0.0132482
+0.0112807
+0.00936607
+0.00746754
+0.00540841
+0.00337433
+0.00137073
+-0.000637454
+-0.00150953
+-0.000585576
+0.00111182
+0.00282332
+0.00455308
+0.00636803
+0.00822655
+0.0100966
+0.0119894
+0.0138804
+0.0157851
+0.0176702
+0.0179887
+0.0182759
+0.018792
+0.0195289
+0.0203568
+0.0213056
+0.0216407
+0.0204438
+0.0194098
+0.0185776
+0.0179245
+0.0175218
+0.0173785
+0.0174666
+0.0178256
+0.0182858
+0.0188932
+0.0197264
+0.0207514
+0.0211802
+0.0206348
+0.0195261
+0.0185726
+0.0172782
+0.0158966
+0.0145997
+0.0134715
+0.0125541
+0.0118889
+0.0112421
+0.0093533
+0.00717055
+0.00499477
+0.00284198
+0.0008011
+-0.00131753
+-0.00343012
+-0.00558276
+-0.00683399
+-0.00793913
+-0.00724619
+-0.00553443
+-0.00350108
+-0.00134134
+0.000598321
+0.0024269
+0.0044586
+0.00635621
+0.00839253
+0.0103396
+0.012328
+0.014293
+0.016141
+0.0180658
+0.0200112
+0.0194184
+0.0186898
+0.0181974
+0.0179178
+0.0172172
+0.0155492
+0.0137789
+0.0119736
+0.0101848
+0.00839774
+0.00654481
+0.00486769
+0.00366005
+0.00214861
+0.000530194
+-0.0002026
+0.00050997
+0.00247691
+0.0044912
+0.00656456
+0.00869461
+0.0107127
+0.0127787
+0.0148118
+0.0148205
+0.0127352
+0.0106922
+0.00872109
+0.00679738
+0.00492194
+0.00297965
+0.00110051
+-0.000265318
+-0.00053903
+0.000549201
+0.00212945
+0.00393227
+0.00576616
+0.00752509
+0.00934185
+0.0111705
+0.0130216
+0.0149462
+0.0168685
+0.0185869
+0.0190377
+0.0195654
+0.0200704
+0.0207687
+0.0216541
+0.0226838
+0.0222668
+0.0210969
+0.0200953
+0.0192845
+0.0186549
+0.0182588
+0.0180964
+0.018181
+0.0185101
+0.0190783
+0.0198553
+0.0207267
+0.0217049
+0.0224075
+0.0219583
+0.0209198
+0.0199619
+0.018532
+0.0172426
+0.0159316
+0.0147553
+0.01362
+0.0127182
+0.0112749
+0.00913515
+0.00702688
+0.00499014
+0.0028991
+0.000852016
+-0.00132687
+-0.00351299
+-0.00564354
+-0.00775808
+-0.00916411
+-0.0071283
+-0.00512693
+-0.00313531
+-0.00127725
+0.00027656
+0.00212415
+0.00420313
+0.00617939
+0.00809964
+0.0100792
+0.0121316
+0.0142247
+0.0163353
+0.0182474
+0.0199891
+0.0201723
+0.0194941
+0.0189703
+0.0186747
+0.0185565
+0.0167036
+0.0148445
+0.012818
+0.0108178
+0.00888913
+0.00710588
+0.0055832
+0.00435249
+0.00306131
+0.00110074
+-0.000924962
+-0.000164174
+0.00184835
+0.00388343
+0.0059241
+0.0079744
+0.0100435
+0.0121005
+0.0141792
+0.0146368
+0.0125202
+0.0104343
+0.00840184
+0.00645398
+0.00471576
+0.00305725
+0.00147382
+0.000437632
+0.000759616
+0.00174119
+0.00324995
+0.00486185
+0.00659016
+0.00853047
+0.0105352
+0.012292
+0.014156
+0.0159831
+0.0178728
+0.0195228
+0.0199415
+0.0205653
+0.0213728
+0.0221346
+0.0229728
+0.023964
+0.0228301
+0.0218168
+0.0209497
+0.0201348
+0.0195293
+0.019151
+0.0189905
+0.0190711
+0.0193908
+0.0199338
+0.0206787
+0.0215997
+0.0225905
+0.0237003
+0.0222397
+0.0205028
+0.0188607
+0.0173403
+0.0159552
+0.0147269
+0.013467
+0.0124204
+0.0114571
+0.0107959
+0.0093339
+0.00727432
+0.00518944
+0.00300132
+0.00082688
+-0.00124936
+-0.00331335
+-0.0054093
+-0.00755756
+-0.00938914
+-0.00748269
+-0.00547322
+-0.00340149
+-0.00140389
+0.000618388
+0.002538
+0.00444312
+0.00625906
+0.00818272
+0.0102056
+0.0120778
+0.0139898
+0.0157317
+0.0175319
+0.0184422
+0.0195562
+0.020069
+0.0196072
+0.0193578
+0.0192539
+0.0171989
+0.0151814
+0.0132072
+0.0113128
+0.00953547
+0.00782693
+0.00631062
+0.00506689
+0.00366066
+0.001599
+-0.000362561
+-0.000849988
+0.00119265
+0.00319334
+0.00528477
+0.00736219
+0.00937498
+0.0114533
+0.0135669
+0.0147723
+0.0126783
+0.0106235
+0.00863572
+0.0067467
+0.00503287
+0.00348105
+0.00237193
+0.00156612
+0.00200585
+0.00297072
+0.00429135
+0.00599462
+0.00775856
+0.00947396
+0.0113446
+0.0133085
+0.0153008
+0.0171177
+0.0189754
+0.020639
+0.0210355
+0.0216278
+0.0224193
+0.023354
+0.0243897
+0.0240084
+0.0228617
+0.0218499
+0.0210185
+0.0203896
+0.0199822
+0.0197718
+0.0197945
+0.0200578
+0.0204689
+0.0209841
+0.0216915
+0.0225155
+0.0235009
+0.0229863
+0.021279
+0.0195921
+0.0179309
+0.0163242
+0.0148675
+0.0135596
+0.0124108
+0.0113183
+0.0104226
+0.00971989
+0.00897217
+0.0069584
+0.0049207
+0.00287665
+0.000934954
+-0.00122248
+-0.00339529
+-0.00557744
+-0.00776278
+-0.00995003
+-0.0079865
+-0.00614824
+-0.00418362
+-0.00216012
+-0.000221044
+0.00153296
+0.00345144
+0.0054923
+0.00742763
+0.00920451
+0.0110861
+0.0128473
+0.0147038
+0.0160474
+0.0170372
+0.0182372
+0.0196091
+0.0203135
+0.0200976
+0.0196899
+0.0176857
+0.0157083
+0.0137782
+0.0119384
+0.0102287
+0.00856039
+0.00704944
+0.0058186
+0.00451942
+0.00268846
+0.00106098
+-0.000789011
+0.000456174
+0.00250636
+0.00457831
+0.0066969
+0.00872971
+0.0107621
+0.0128466
+0.0145818
+0.0127176
+0.010925
+0.00923985
+0.0075403
+0.00583546
+0.0044022
+0.00347045
+0.00301775
+0.00327945
+0.00433538
+0.00561238
+0.00706444
+0.00878572
+0.0106409
+0.0124278
+0.0142721
+0.0161698
+0.0181336
+0.0201205
+0.0218894
+0.0222631
+0.0228235
+0.023575
+0.0244906
+0.0254726
+0.0242131
+0.0230766
+0.0220747
+0.021252
+0.0206302
+0.0202277
+0.0200199
+0.0200423
+0.0203024
+0.0207914
+0.0214636
+0.0223127
+0.0233372
+0.0237832
+0.0219587
+0.0202072
+0.0185492
+0.0170122
+0.0154363
+0.0139273
+0.0125911
+0.0113722
+0.0102595
+0.00928087
+0.00854652
+0.00787846
+0.0062771
+0.00415564
+0.00209561
+0.00011849
+-0.00194593
+-0.0039514
+-0.00598369
+-0.00808298
+-0.0102207
+-0.00885735
+-0.00701217
+-0.00501092
+-0.00304647
+-0.00123683
+0.000842138
+0.00268617
+0.00449557
+0.00629582
+0.00807055
+0.00990519
+0.0118152
+0.0138088
+0.0147392
+0.0157637
+0.0169989
+0.0184128
+0.0199065
+0.0209828
+0.020253
+0.018279
+0.01636
+0.0145106
+0.0127508
+0.0110708
+0.00946934
+0.00794136
+0.00666401
+0.00570865
+0.00392042
+0.00188997
+-0.000119673
+-0.000181289
+0.00186171
+0.00389457
+0.00595202
+0.00801284
+0.0100738
+0.0121801
+0.0144681
+0.012656
+0.0109322
+0.00932536
+0.00792978
+0.00683162
+0.00576128
+0.00497965
+0.00468385
+0.00496251
+0.00581356
+0.0070148
+0.00845982
+0.00996643
+0.0116813
+0.0134971
+0.0152972
+0.0171594
+0.0190905
+0.0210231
+0.0229898
+0.0236016
+0.0241455
+0.0248566
+0.0257352
+0.025852
+0.0246119
+0.0234947
+0.0225114
+0.0217053
+0.0210968
+0.0207034
+0.0205004
+0.0205223
+0.0207764
+0.0212532
+0.0218996
+0.0227382
+0.0237499
+0.0229687
+0.0210738
+0.0192419
+0.0174927
+0.0158536
+0.0143623
+0.0128194
+0.0114755
+0.0102413
+0.00919402
+0.00823725
+0.0075189
+0.006806
+0.00578064
+0.00363325
+0.00150995
+-0.000606538
+-0.00268734
+-0.00469612
+-0.00676765
+-0.00882887
+-0.0108554
+-0.00990079
+-0.0078579
+-0.00581986
+-0.00390956
+-0.00206356
+-0.00032483
+0.00159294
+0.00334832
+0.00509756
+0.00696822
+0.00896967
+0.0108222
+0.0125619
+0.0133691
+0.0144658
+0.0157697
+0.0171226
+0.0186208
+0.0202141
+0.0209515
+0.0190297
+0.0171203
+0.0152865
+0.0135078
+0.0118212
+0.0101385
+0.00860898
+0.0073221
+0.00637478
+0.00450454
+0.00252492
+0.000628809
+-0.000898245
+0.00111073
+0.00317336
+0.00530572
+0.00738331
+0.00946377
+0.0115824
+0.0144732
+0.0126996
+0.0110447
+0.009576
+0.0083716
+0.00740561
+0.00687111
+0.00659642
+0.00652736
+0.00680097
+0.00750043
+0.00858042
+0.00989697
+0.0113521
+0.0129445
+0.014627
+0.0164284
+0.0182065
+0.0200479
+0.0219536
+0.0238963
+0.0250359
+0.0255523
+0.0262253
+0.0270594
+0.0264082
+0.0251955
+0.0240836
+0.0231253
+0.0223414
+0.0217508
+0.0213572
+0.0211789
+0.0212
+0.0214447
+0.0218999
+0.0225406
+0.0233562
+0.0243337
+0.0223401
+0.0203869
+0.018487
+0.0166588
+0.0149284
+0.013334
+0.0118923
+0.0104296
+0.00919182
+0.00817051
+0.00709357
+0.00630665
+0.00563537
+0.00536855
+0.00319843
+0.00105618
+-0.001026
+-0.00313541
+-0.00529841
+-0.00738305
+-0.00940664
+-0.0114678
+-0.0106507
+-0.00869566
+-0.00685296
+-0.00507251
+-0.00327143
+-0.00135308
+0.000407218
+0.00220392
+0.00407902
+0.00595263
+0.0078664
+0.00988338
+0.0109704
+0.011847
+0.0130011
+0.0142958
+0.0157755
+0.0173633
+0.0190386
+0.0208011
+0.0197633
+0.0179081
+0.0161064
+0.0144097
+0.0126281
+0.0109814
+0.00950184
+0.00825776
+0.00720246
+0.00524812
+0.00338701
+0.00142093
+-0.000547658
+0.000466043
+0.00260535
+0.00474074
+0.00690544
+0.00908262
+0.0112198
+0.0146475
+0.0129427
+0.0113728
+0.0100055
+0.00888104
+0.00811857
+0.00779347
+0.00787638
+0.00823451
+0.00861839
+0.00925008
+0.0101721
+0.0113808
+0.0127267
+0.0142238
+0.0158827
+0.0176186
+0.0193896
+0.0211691
+0.0229815
+0.0248549
+0.0265264
+0.0270329
+0.0276827
+0.0284295
+0.0271304
+0.0259242
+0.024844
+0.0239162
+0.0231591
+0.0225838
+0.0222023
+0.0220291
+0.0220495
+0.0222862
+0.0227248
+0.0233612
+0.0241577
+0.0237965
+0.0218198
+0.0198771
+0.0179691
+0.016082
+0.0142676
+0.0125628
+0.011031
+0.00963367
+0.00836293
+0.00719059
+0.00625188
+0.00551303
+0.00490021
+0.00482477
+0.00304417
+0.000921112
+-0.00115964
+-0.00322144
+-0.00531429
+-0.00736143
+-0.00938614
+-0.0114535
+-0.0116657
+-0.0098471
+-0.00805775
+-0.00623502
+-0.0042569
+-0.00228891
+-0.000447761
+0.00113188
+0.00299683
+0.00503491
+0.00714532
+0.00857816
+0.00927739
+0.0102622
+0.0115097
+0.0129963
+0.0145867
+0.0162603
+0.0180282
+0.0198805
+0.0206096
+0.0188116
+0.0169617
+0.0151577
+0.0133658
+0.0116763
+0.0101429
+0.00886244
+0.00798787
+0.00619453
+0.00418622
+0.00229451
+0.000431519
+0.000349236
+0.00242019
+0.00453516
+0.00669598
+0.00886091
+0.0110184
+0.0149724
+0.0133522
+0.0118972
+0.0106437
+0.00967573
+0.00904796
+0.0088232
+0.00903862
+0.00960837
+0.0103368
+0.0110796
+0.0119354
+0.0130045
+0.0142878
+0.0156529
+0.0171743
+0.0188177
+0.0205566
+0.0223738
+0.0241541
+0.0259511
+0.027797
+0.0285871
+0.029216
+0.029266
+0.027986
+0.0268101
+0.0257671
+0.0248738
+0.0241467
+0.0235889
+0.0232239
+0.0230569
+0.0230763
+0.0233027
+0.0237239
+0.0243342
+0.0251213
+0.0233802
+0.0213652
+0.0193883
+0.0174372
+0.0154789
+0.0135916
+0.0117911
+0.0101428
+0.00872071
+0.00742448
+0.00620419
+0.00542334
+0.00468423
+0.00409975
+0.00441963
+0.00286125
+0.000804036
+-0.00124734
+-0.0033141
+-0.00546125
+-0.00741625
+-0.00943304
+-0.0115086
+-0.0127946
+-0.0109513
+-0.00900871
+-0.0071044
+-0.00509951
+-0.00303359
+-0.00108967
+0.000354772
+0.00231704
+0.00440967
+0.00652575
+0.00694012
+0.00771904
+0.00879707
+0.0102009
+0.011812
+0.0135661
+0.0153727
+0.0172358
+0.0191672
+0.0211372
+0.0194399
+0.0175186
+0.0156627
+0.0139046
+0.0122864
+0.0108514
+0.00960611
+0.00867617
+0.0071061
+0.00526406
+0.00345769
+0.00201033
+0.00156415
+0.0027881
+0.00471386
+0.00678164
+0.00889428
+0.0110374
+0.0153631
+0.0138398
+0.0125162
+0.0114128
+0.010591
+0.0100269
+0.00987825
+0.0101494
+0.0107653
+0.0116974
+0.012692
+0.0137998
+0.0147561
+0.0159086
+0.0172118
+0.0186347
+0.0201594
+0.0217915
+0.0235146
+0.0253101
+0.027155
+0.0289403
+0.0301761
+0.0308202
+0.0302202
+0.0289694
+0.027835
+0.0268319
+0.0259752
+0.0252798
+0.0247476
+0.0243998
+0.0242395
+0.024258
+0.0244734
+0.0248763
+0.025459
+0.0252105
+0.0231475
+0.0211103
+0.0190494
+0.0170046
+0.0149998
+0.0130457
+0.0111576
+0.00939876
+0.00784294
+0.00660663
+0.00532682
+0.00445186
+0.00393808
+0.00369406
+0.00434739
+0.00294153
+0.000993919
+-0.000857185
+-0.00284896
+-0.00496616
+-0.00706815
+-0.00863997
+-0.0104023
+-0.011958
+-0.0119408
+-0.00983717
+-0.00769364
+-0.00558682
+-0.00357293
+-0.00170605
+-0.000224301
+0.00175337
+0.00379869
+0.00498848
+0.00550225
+0.00637639
+0.00760826
+0.00915991
+0.0109009
+0.0127799
+0.0146854
+0.0166069
+0.0185877
+0.0205425
+0.019927
+0.0180371
+0.0162231
+0.0145133
+0.0129276
+0.0115366
+0.0103367
+0.00938234
+0.00814075
+0.00633555
+0.00475069
+0.00362212
+0.00324483
+0.00396738
+0.0053953
+0.0072164
+0.00919505
+0.0112419
+0.0160133
+0.0145582
+0.0133062
+0.0122902
+0.0114742
+0.0110388
+0.0109912
+0.0113288
+0.0119639
+0.0129124
+0.0140513
+0.0151752
+0.0164609
+0.0176426
+0.0188262
+0.0201704
+0.0216214
+0.0231681
+0.0247957
+0.0265046
+0.0282799
+0.03011
+0.0315897
+0.0324293
+0.0312868
+0.0300804
+0.0289895
+0.0280277
+0.0272087
+0.0265457
+0.0260393
+0.0257091
+0.0255556
+0.0255732
+0.0257776
+0.0261617
+0.0267163
+0.0251861
+0.0230721
+0.0209619
+0.0188701
+0.0168035
+0.0147726
+0.0127947
+0.0108984
+0.00911284
+0.00748049
+0.00609092
+0.00477835
+0.0035562
+0.00307066
+0.00368159
+0.00427616
+0.00365078
+0.00177651
+-0.000236091
+-0.00224532
+-0.00428648
+-0.00578308
+-0.00750238
+-0.00898071
+-0.0106028
+-0.0120651
+-0.010418
+-0.00840249
+-0.006271
+-0.0041574
+-0.00209549
+-0.000413517
+0.00134818
+0.00345908
+0.00381985
+0.00445937
+0.00546411
+0.00680277
+0.00846047
+0.0102976
+0.0121994
+0.0141457
+0.0160676
+0.0180509
+0.0200729
+0.0205389
+0.0187109
+0.0169596
+0.0153095
+0.0138106
+0.0124916
+0.0112457
+0.0102977
+0.00927942
+0.00769434
+0.00627507
+0.00518559
+0.00479343
+0.00522394
+0.00637779
+0.00797768
+0.00979634
+0.0117209
+0.0168883
+0.0155155
+0.0143472
+0.0133626
+0.0126158
+0.0122211
+0.0121681
+0.0124739
+0.0131428
+0.0141232
+0.0152915
+0.0165454
+0.0177894
+0.0191499
+0.0205475
+0.021786
+0.0231636
+0.0246312
+0.0261946
+0.0278205
+0.0295169
+0.0312747
+0.0329355
+0.0337082
+0.0324664
+0.0313054
+0.0302588
+0.0293386
+0.0285572
+0.0279262
+0.0274454
+0.0271322
+0.0269856
+0.0270022
+0.0271959
+0.0275615
+0.0273817
+0.0252515
+0.0231327
+0.0210286
+0.0189441
+0.0168866
+0.0148671
+0.0129036
+0.0110261
+0.00926518
+0.00766534
+0.00616776
+0.00468248
+0.00342944
+0.00300345
+0.00364136
+0.00431877
+0.00415628
+0.00231469
+0.000557284
+-0.00156337
+-0.00322675
+-0.00461054
+-0.00601205
+-0.00763512
+-0.00922766
+-0.0103068
+-0.00947192
+-0.00840259
+-0.00665246
+-0.00458855
+-0.00256905
+-0.000743035
+0.000932514
+0.0029508
+0.00331316
+0.00399257
+0.0050676
+0.00643622
+0.00811523
+0.00997913
+0.0118652
+0.0137528
+0.0157094
+0.0177208
+0.0197704
+0.0213304
+0.0195758
+0.0178993
+0.0163449
+0.0148017
+0.013407
+0.0122324
+0.011327
+0.0103014
+0.00877871
+0.00748368
+0.00656691
+0.00625015
+0.00654721
+0.00749889
+0.00886083
+0.0105051
+0.0123206
+0.0179688
+0.0166852
+0.0155808
+0.0146661
+0.013989
+0.0136341
+0.0135876
+0.0138622
+0.014467
+0.0153632
+0.0165033
+0.0178406
+0.0191441
+0.0205263
+0.0219415
+0.0234464
+0.0247789
+0.0261802
+0.0276606
+0.0292267
+0.0308599
+0.0325453
+0.0342878
+0.0349435
+0.0337471
+0.0326317
+0.031629
+0.0307499
+0.0300053
+0.0294053
+0.0289491
+0.0286524
+0.0285123
+0.028528
+0.0287114
+0.0290592
+0.0276071
+0.0254958
+0.0233991
+0.0213213
+0.0192686
+0.0172497
+0.0152784
+0.0133754
+0.0115747
+0.00991168
+0.00838748
+0.00683588
+0.00552365
+0.00445086
+0.00410252
+0.00429255
+0.00494659
+0.00511668
+0.0032461
+0.00136395
+-0.000456098
+-0.00206175
+-0.00327992
+-0.00475777
+-0.00624939
+-0.00778628
+-0.00864141
+-0.00779615
+-0.00684445
+-0.00558796
+-0.00424883
+-0.002312
+-0.000503465
+0.00122567
+0.00309795
+0.00331048
+0.00399646
+0.00523464
+0.00667406
+0.00828006
+0.00996994
+0.0117613
+0.0136633
+0.0156311
+0.0176311
+0.0196265
+0.0216597
+0.0205333
+0.0189092
+0.0173204
+0.0158378
+0.0143212
+0.0128432
+0.0115216
+0.0104557
+0.00914574
+0.00789854
+0.00709034
+0.00683847
+0.00723832
+0.00816197
+0.00949152
+0.0110977
+0.0128773
+0.0192382
+0.0180358
+0.0169969
+0.0161625
+0.0155507
+0.0152323
+0.0151907
+0.0154368
+0.0159821
+0.0167976
+0.0178463
+0.0190898
+0.0204697
+0.0218552
+0.0233317
+0.024806
+0.0263334
+0.0277948
+0.0292133
+0.0307036
+0.0322714
+0.0339035
+0.0355857
+0.0362692
+0.0351178
+0.0340474
+0.0330876
+0.0322483
+0.0315391
+0.0309689
+0.030536
+0.0302549
+0.0301211
+0.030136
+0.0303096
+0.0300976
+0.0280027
+0.0259236
+0.0238645
+0.0218311
+0.0198311
+0.017876
+0.015982
+0.0141738
+0.0124595
+0.0106055
+0.00883002
+0.00723814
+0.00596751
+0.00513501
+0.00484353
+0.00504419
+0.00573746
+0.00602191
+0.00430173
+0.0025095
+0.000735702
+-0.000887943
+-0.00224026
+-0.00346391
+-0.00486566
+-0.00628072
+-0.00687281
+-0.00609268
+-0.00510143
+-0.00402113
+-0.0031289
+-0.00142637
+0.000341643
+0.00181112
+0.00359203
+0.00375137
+0.00441525
+0.00559282
+0.00708573
+0.00872739
+0.010322
+0.0120587
+0.0139119
+0.0157969
+0.0177282
+0.0197137
+0.0217388
+0.020973
+0.0191286
+0.017354
+0.0155876
+0.0138848
+0.0123354
+0.0109694
+0.0097306
+0.00868346
+0.00788223
+0.00739737
+0.0073839
+0.00782917
+0.00872171
+0.0100133
+0.0115752
+0.0132923
+0.0206597
+0.0195198
+0.0185589
+0.0177844
+0.0172304
+0.0169435
+0.016926
+0.0171472
+0.0176397
+0.0183818
+0.0193448
+0.0204976
+0.0217885
+0.0232063
+0.0246402
+0.0261541
+0.0277063
+0.0292618
+0.030827
+0.0322586
+0.0337567
+0.0353253
+0.0369524
+0.0376756
+0.0365686
+0.0355419
+0.0346235
+0.0338223
+0.0331468
+0.0326047
+0.0321938
+0.0319273
+0.0317995
+0.0318136
+0.0319781
+0.0306179
+0.0285612
+0.026526
+0.0245175
+0.0225431
+0.0206123
+0.0187388
+0.0168007
+0.0148374
+0.0129405
+0.0110841
+0.00937216
+0.00786538
+0.00672462
+0.00605014
+0.00580859
+0.00613305
+0.00679668
+0.00718772
+0.00539947
+0.00380568
+0.00203398
+0.000260278
+-0.00136602
+-0.00222675
+-0.00344119
+-0.00492039
+-0.00504228
+-0.00410833
+-0.00324595
+-0.0023632
+-0.00180156
+-0.000191311
+0.00121135
+0.00264782
+0.00437916
+0.00446255
+0.00517072
+0.00633581
+0.00776099
+0.00907105
+0.0106603
+0.01236
+0.014188
+0.0161067
+0.0180775
+0.0200415
+0.0220364
+0.0209396
+0.0190019
+0.0171178
+0.0153155
+0.013601
+0.0119327
+0.010439
+0.00907749
+0.00792259
+0.00713227
+0.00678558
+0.00701055
+0.00760817
+0.0085505
+0.00972483
+0.0111098
+0.0127029
+0.0221846
+0.0211225
+0.0202323
+0.0195036
+0.0189997
+0.0187399
+0.0187345
+0.0189449
+0.0193919
+0.0200693
+0.0209549
+0.0220235
+0.0232394
+0.0245736
+0.0260241
+0.0274922
+0.0290228
+0.030629
+0.032207
+0.0338236
+0.0353132
+0.0368173
+0.0383863
+0.0391542
+0.0380889
+0.0371043
+0.0362256
+0.0354606
+0.0348168
+0.0343012
+0.0339122
+0.0336593
+0.033537
+0.0335504
+0.0331639
+0.0311453
+0.0291479
+0.0271789
+0.0252429
+0.023352
+0.0213475
+0.0193626
+0.0174129
+0.0155117
+0.0136527
+0.0119067
+0.0102965
+0.00893174
+0.00794559
+0.0073708
+0.00717595
+0.00739799
+0.00797611
+0.00830029
+0.00657869
+0.00495671
+0.00332597
+0.00170703
+0.000143821
+-0.00119349
+-0.00230877
+-0.00317126
+-0.00318164
+-0.0021419
+-0.00126577
+-0.00086888
+-0.000443386
+0.00123504
+0.00247905
+0.00390635
+0.00529398
+0.00546131
+0.00605916
+0.00711218
+0.00833847
+0.00976025
+0.0112219
+0.0128449
+0.0146123
+0.0164817
+0.0183926
+0.0203592
+0.0223675
+0.0208157
+0.0188901
+0.0169932
+0.0151636
+0.0134078
+0.0117432
+0.0101685
+0.00870287
+0.00750616
+0.00669989
+0.00639029
+0.00671205
+0.00710345
+0.00787241
+0.00907497
+0.0105452
+0.0121871
+0.0238135
+0.0228199
+0.0219793
+0.0213094
+0.0208492
+0.0206128
+0.0206078
+0.020803
+0.0212108
+0.0218319
+0.0226487
+0.0236409
+0.0247875
+0.0260536
+0.0274259
+0.0288993
+0.0303915
+0.0319344
+0.0335472
+0.0351786
+0.036795
+0.0383747
+0.0398837
+0.0406969
+0.0396579
+0.0387133
+0.0378719
+0.0371408
+0.0365267
+0.0360355
+0.0356724
+0.0354405
+0.0352344
+0.0338892
+0.0326357
+0.0314849
+0.0297459
+0.027816
+0.0259276
+0.0240101
+0.0220462
+0.0200937
+0.0181954
+0.0163556
+0.0146026
+0.012982
+0.0115201
+0.0103007
+0.00941567
+0.00895323
+0.00871818
+0.00885121
+0.00940313
+0.00942254
+0.00775268
+0.00618583
+0.00480266
+0.00323279
+0.00165395
+0.000176257
+-0.000987461
+-0.00156632
+-0.00114872
+-0.000205083
+0.000355643
+0.000195159
+0.0011448
+0.00262229
+0.00385676
+0.00515926
+0.00613744
+0.00624299
+0.00683089
+0.0077956
+0.0090669
+0.0103336
+0.0118242
+0.013486
+0.0152818
+0.0171095
+0.0189573
+0.0208707
+0.0228144
+0.0208448
+0.0189153
+0.017049
+0.0152645
+0.0135465
+0.0118894
+0.0102737
+0.00874686
+0.007482
+0.00647133
+0.00590472
+0.00603617
+0.00666736
+0.00750447
+0.00870381
+0.0101922
+0.0118422
+0.02552
+0.0245947
+0.0237989
+0.0231817
+0.0227594
+0.022543
+0.0225384
+0.0227204
+0.0230944
+0.0236661
+0.0244216
+0.0253445
+0.0264172
+0.0276224
+0.0289259
+0.0303265
+0.0318164
+0.0333265
+0.0348781
+0.0364935
+0.0381662
+0.0397857
+0.0414417
+0.0422841
+0.0412833
+0.0403767
+0.0395707
+0.0388716
+0.0382853
+0.0378169
+0.0371096
+0.0355809
+0.0341244
+0.0327336
+0.0314341
+0.0302376
+0.0291568
+0.0282017
+0.0267168
+0.024745
+0.022813
+0.0209321
+0.0191173
+0.0173785
+0.015738
+0.0142408
+0.0129213
+0.0118534
+0.0110929
+0.0106764
+0.0104167
+0.0105313
+0.0110236
+0.0107141
+0.0090896
+0.00759818
+0.00620652
+0.00473177
+0.00323996
+0.00184051
+0.000727179
+0.000456863
+0.000930004
+0.00155281
+0.0015218
+0.00205169
+0.00292516
+0.00419148
+0.00535702
+0.00666613
+0.00727374
+0.00741981
+0.00793357
+0.00872486
+0.0097429
+0.0109648
+0.012455
+0.0140976
+0.0158493
+0.0176666
+0.019543
+0.0214791
+0.0229982
+0.0210455
+0.0191362
+0.0172896
+0.0154929
+0.0137729
+0.0121526
+0.0105059
+0.00888657
+0.00749603
+0.00644182
+0.00586369
+0.00598749
+0.00660121
+0.00738641
+0.00859636
+0.0101173
+0.0118248
+0.0272956
+0.0264175
+0.0256766
+0.0251055
+0.0247161
+0.024517
+0.0245128
+0.0246833
+0.025028
+0.0255565
+0.0262577
+0.0271182
+0.0281233
+0.0292583
+0.0305085
+0.0318406
+0.0332627
+0.0347649
+0.0362887
+0.037845
+0.0394609
+0.04113
+0.0427917
+0.0439215
+0.0429589
+0.0420884
+0.0413158
+0.0406468
+0.0394887
+0.0378026
+0.0361707
+0.0346005
+0.0331009
+0.031682
+0.0303432
+0.0291019
+0.0279773
+0.0269805
+0.0258163
+0.0245447
+0.0234093
+0.0219579
+0.0202353
+0.0186013
+0.0170722
+0.0156851
+0.0144977
+0.0135625
+0.0128776
+0.0124689
+0.0122293
+0.0123461
+0.0127929
+0.0120803
+0.0105337
+0.00903806
+0.00753996
+0.006202
+0.0048868
+0.0035886
+0.00279143
+0.00262064
+0.00305894
+0.00305308
+0.00336251
+0.00400997
+0.00485014
+0.00589382
+0.00689589
+0.00814846
+0.00814695
+0.00858507
+0.00909419
+0.00974961
+0.0106683
+0.011836
+0.0132284
+0.0148152
+0.0165203
+0.0183024
+0.0201651
+0.0220881
+0.0233808
+0.0214292
+0.0194956
+0.0176207
+0.0158173
+0.014076
+0.0124379
+0.0108387
+0.00923211
+0.00790991
+0.00681316
+0.00604668
+0.00589885
+0.00638891
+0.00717029
+0.0084065
+0.00997616
+0.0117463
+0.0291235
+0.028291
+0.0276004
+0.02707
+0.0267092
+0.0265251
+0.0265212
+0.0266818
+0.0270009
+0.0274915
+0.0281445
+0.028949
+0.0298927
+0.0309628
+0.0321469
+0.0334297
+0.034787
+0.0362259
+0.0377373
+0.0392631
+0.0408231
+0.0424388
+0.0441042
+0.0456055
+0.0446791
+0.0438428
+0.0422983
+0.0404946
+0.0387309
+0.0370112
+0.0353428
+0.0337341
+0.0321942
+0.0307333
+0.0293634
+0.0280914
+0.0269246
+0.0258873
+0.0245593
+0.0232189
+0.0220153
+0.020972
+0.0201141
+0.0194269
+0.0185331
+0.0172635
+0.0161919
+0.0153571
+0.0147433
+0.0143659
+0.0141493
+0.0142504
+0.0146764
+0.0135316
+0.0119524
+0.0103941
+0.00901971
+0.00773685
+0.00653363
+0.00552801
+0.00492989
+0.00466382
+0.00472843
+0.00491616
+0.00528441
+0.00602991
+0.00685748
+0.00753836
+0.00849215
+0.00930129
+0.00928119
+0.00967269
+0.0102343
+0.0108497
+0.0117918
+0.01295
+0.0142681
+0.0157505
+0.0173831
+0.019115
+0.0209256
+0.0227861
+0.0238167
+0.0218706
+0.0199551
+0.0180911
+0.0162909
+0.0145705
+0.0129059
+0.0112342
+0.00953643
+0.00799571
+0.00677843
+0.00602252
+0.00572203
+0.00592892
+0.00658915
+0.00782814
+0.00941954
+0.0111985
+0.0309896
+0.0302072
+0.0295614
+0.0290668
+0.0287311
+0.02856
+0.0285564
+0.0287083
+0.0290051
+0.0294624
+0.0300726
+0.0308268
+0.0317146
+0.0327253
+0.0338477
+0.0350712
+0.0363793
+0.0377576
+0.03921
+0.0407285
+0.0422545
+0.0438175
+0.0454324
+0.0470938
+0.0454593
+0.0435663
+0.0417024
+0.0398718
+0.0380792
+0.0363303
+0.0346317
+0.0329906
+0.0314143
+0.0299154
+0.0285062
+0.0272006
+0.0260142
+0.0249391
+0.0234392
+0.0220307
+0.0207584
+0.0196485
+0.0187301
+0.0179886
+0.0174838
+0.0172446
+0.017278
+0.0172182
+0.0166723
+0.016175
+0.0158521
+0.0158254
+0.0160597
+0.0149311
+0.0133574
+0.0119403
+0.0105986
+0.00928522
+0.00818899
+0.00739895
+0.00680412
+0.00645102
+0.00654697
+0.00690867
+0.00731134
+0.00792724
+0.00854663
+0.00935154
+0.0101907
+0.0103245
+0.0103665
+0.0107698
+0.011529
+0.0122239
+0.0130676
+0.0141484
+0.0154328
+0.0168462
+0.0183831
+0.0200141
+0.0217426
+0.0235378
+0.0243525
+0.0224261
+0.0205526
+0.0187332
+0.0169853
+0.0151679
+0.0133357
+0.0114867
+0.00972217
+0.00809651
+0.00674011
+0.00580641
+0.00528182
+0.00537672
+0.00605655
+0.00728329
+0.00888871
+0.0107037
+0.0328957
+0.0321584
+0.0315526
+0.0310897
+0.0307761
+0.0306164
+0.0306131
+0.0307573
+0.0310346
+0.0314623
+0.0320345
+0.0327435
+0.0335807
+0.0345368
+0.0356021
+0.0367673
+0.0380231
+0.0393517
+0.0407473
+0.0422105
+0.0437345
+0.0452603
+0.0468255
+0.0469491
+0.0450122
+0.0430995
+0.0412146
+0.0393612
+0.0375443
+0.0357693
+0.0340427
+0.0323723
+0.0307673
+0.029237
+0.0277935
+0.0264527
+0.0252313
+0.0240597
+0.0224773
+0.0210045
+0.0196658
+0.0184905
+0.0175114
+0.0167144
+0.0161699
+0.015911
+0.0159472
+0.016228
+0.0155312
+0.0149176
+0.0145634
+0.0144984
+0.0147343
+0.0152838
+0.0149236
+0.0135602
+0.0121883
+0.0109676
+0.0100174
+0.00918529
+0.00867581
+0.00838523
+0.0085415
+0.00893454
+0.00933954
+0.00973353
+0.0102795
+0.0110716
+0.0116114
+0.0113349
+0.0113984
+0.0118421
+0.0125823
+0.0135063
+0.0143361
+0.0154346
+0.0167068
+0.0180463
+0.0195204
+0.0210631
+0.0227066
+0.0244259
+0.025031
+0.0231458
+0.021319
+0.0195319
+0.017557
+0.0155553
+0.0136119
+0.0116551
+0.00976409
+0.00802688
+0.00653513
+0.00549787
+0.004986
+0.0050348
+0.00575845
+0.00704178
+0.00868986
+0.0105012
+0.0348354
+0.0341388
+0.0335687
+0.033134
+0.0328399
+0.0326903
+0.0326872
+0.0328246
+0.0330846
+0.0334861
+0.0340243
+0.0346927
+0.0354839
+0.03639
+0.0374026
+0.0385134
+0.039714
+0.0409966
+0.0423422
+0.0437521
+0.0452242
+0.0467526
+0.0482778
+0.0466194
+0.0446681
+0.0427401
+0.0408385
+0.0389673
+0.0371311
+0.0353353
+0.0335864
+0.0318922
+0.0302617
+0.0287045
+0.0272327
+0.0258629
+0.0246122
+0.0233303
+0.0216948
+0.0201649
+0.0187664
+0.0175309
+0.0164949
+0.0156445
+0.0150614
+0.0147831
+0.014814
+0.0151158
+0.0144807
+0.0138074
+0.0134239
+0.0133433
+0.0135992
+0.0141825
+0.015031
+0.0151397
+0.0138689
+0.0127853
+0.0118575
+0.0110898
+0.0106697
+0.0104204
+0.010546
+0.0109457
+0.0113118
+0.0116108
+0.0120661
+0.0113745
+0.0110568
+0.0111075
+0.0115801
+0.0124261
+0.0135137
+0.0145507
+0.015684
+0.0167185
+0.0178906
+0.0191995
+0.0206098
+0.0221372
+0.0237685
+0.0254718
+0.0258474
+0.0240239
+0.0219783
+0.0198632
+0.0177665
+0.0156955
+0.013662
+0.0116853
+0.00980004
+0.00807058
+0.00658873
+0.00553403
+0.00512188
+0.00521095
+0.00598192
+0.00727458
+0.00892488
+0.0107095
+0.0368032
+0.0361434
+0.0356054
+0.0351958
+0.0349191
+0.0347785
+0.0347756
+0.0349069
+0.0351515
+0.0355297
+0.0360374
+0.0366691
+0.0374186
+0.0382789
+0.0392428
+0.0403029
+0.0414517
+0.0426821
+0.0439872
+0.0453471
+0.046769
+0.0482485
+0.0483661
+0.0463908
+0.0444295
+0.0424907
+0.0405774
+0.0386936
+0.0368438
+0.0350332
+0.0332685
+0.0315571
+0.0299084
+0.0283318
+0.0268396
+0.0254487
+0.0241765
+0.0227526
+0.0210714
+0.0194917
+0.0180402
+0.0167502
+0.0156616
+0.0147875
+0.014169
+0.0138726
+0.0138989
+0.0142202
+0.0136517
+0.0129386
+0.0125285
+0.0124444
+0.0127185
+0.0133429
+0.0142415
+0.0153965
+0.015612
+0.0146022
+0.0137653
+0.0130825
+0.0127045
+0.0125009
+0.0126124
+0.0130016
+0.0130489
+0.011675
+0.0105335
+0.0097337
+0.00936729
+0.00942712
+0.00997964
+0.0108834
+0.0121043
+0.0135713
+0.0151637
+0.0168021
+0.0184639
+0.0201914
+0.0217869
+0.0233036
+0.0248585
+0.0265034
+0.0264343
+0.0243176
+0.0222114
+0.0201209
+0.0180541
+0.0160204
+0.0140339
+0.0121181
+0.0103123
+0.00866137
+0.00722824
+0.00625091
+0.0058741
+0.00600239
+0.00673663
+0.00793095
+0.00948139
+0.0112378
+0.0387947
+0.0381685
+0.0376594
+0.0372724
+0.0370113
+0.0368786
+0.0368758
+0.0370017
+0.0372326
+0.0375899
+0.0380701
+0.0386686
+0.0393801
+0.0401985
+0.0411174
+0.0421303
+0.0432306
+0.0444117
+0.0456675
+0.0469901
+0.0483638
+0.0497959
+0.0482454
+0.046265
+0.0442981
+0.0423532
+0.0404335
+0.0385427
+0.0366852
+0.0348664
+0.0330928
+0.0313719
+0.0297128
+0.0281253
+0.0266215
+0.0252186
+0.0239342
+0.0223708
+0.0206586
+0.0190447
+0.0175562
+0.0162278
+0.0151016
+0.014193
+0.0135474
+0.0132371
+0.0132647
+0.0136009
+0.013106
+0.0123303
+0.0118993
+0.0118107
+0.0120992
+0.0127626
+0.0137408
+0.0149218
+0.0163125
+0.0162198
+0.0155392
+0.0151301
+0.0147796
+0.0146056
+0.0147148
+0.0136074
+0.0119546
+0.0104595
+0.0091856
+0.00825626
+0.00782743
+0.00789924
+0.00855134
+0.00958858
+0.0109548
+0.012551
+0.0142371
+0.015995
+0.0178461
+0.0196661
+0.0215205
+0.0234323
+0.0253762
+0.0273569
+0.026808
+0.0247234
+0.0226549
+0.0206095
+0.0185971
+0.0166299
+0.0147259
+0.0129131
+0.0111998
+0.00964707
+0.00838416
+0.00754883
+0.00719922
+0.00734219
+0.00796441
+0.00905874
+0.0104497
+0.0120744
+0.0408058
+0.0402109
+0.0397281
+0.0393614
+0.0391142
+0.0389887
+0.0389861
+0.0391061
+0.0393257
+0.0396641
+0.0401195
+0.0406879
+0.0413646
+0.0421444
+0.0430218
+0.0439909
+0.0450458
+0.0461805
+0.0473894
+0.0486669
+0.0500037
+0.0502196
+0.0482241
+0.0462427
+0.0442749
+0.0423289
+0.040408
+0.0385159
+0.0366571
+0.0348369
+0.0330616
+0.031339
+0.0296781
+0.0280886
+0.0265828
+0.0251777
+0.0238911
+0.0221996
+0.0204731
+0.0188433
+0.0173376
+0.0159909
+0.0148468
+0.0139216
+0.0132628
+0.0129457
+0.0129739
+0.0133175
+0.012884
+0.012094
+0.0116543
+0.0115638
+0.0118582
+0.0125345
+0.0135353
+0.0147406
+0.0161463
+0.0177121
+0.0173399
+0.0169898
+0.0168839
+0.0166337
+0.0147034
+0.0128527
+0.0111249
+0.00950979
+0.00813104
+0.00708568
+0.00660226
+0.00669638
+0.00743854
+0.00858915
+0.0100903
+0.0117806
+0.0135676
+0.0154021
+0.0173131
+0.019264
+0.0211936
+0.0231233
+0.0250959
+0.027102
+0.0273447
+0.025299
+0.0232797
+0.0212944
+0.0193534
+0.0174715
+0.0156701
+0.0139651
+0.0123726
+0.0109869
+0.00989642
+0.00918814
+0.00887417
+0.00899049
+0.00953543
+0.0104741
+0.0117446
+0.013217
+0.0428345
+0.0422682
+0.0418091
+0.0414609
+0.0412262
+0.0411072
+0.0411047
+0.0412188
+0.0414288
+0.0417502
+0.042183
+0.042724
+0.0433689
+0.0441134
+0.0449524
+0.0458807
+0.046893
+0.0479841
+0.0491487
+0.0503816
+0.051678
+0.0502941
+0.048301
+0.0463204
+0.0443546
+0.0424108
+0.0404922
+0.0386026
+0.0367464
+0.034929
+0.0331568
+0.0314373
+0.0297798
+0.0281952
+0.0266964
+0.0252988
+0.0240198
+0.0222429
+0.0205204
+0.018895
+0.0173919
+0.0160426
+0.0148946
+0.0139674
+0.0133109
+0.012995
+0.0130032
+0.013346
+0.0129625
+0.0122411
+0.0117953
+0.0116802
+0.0119718
+0.012642
+0.013635
+0.0148698
+0.0162644
+0.0178198
+0.0192217
+0.0189064
+0.0183046
+0.0162988
+0.0143235
+0.0124163
+0.0106187
+0.00893753
+0.00749084
+0.00639903
+0.00585948
+0.00597266
+0.00679757
+0.00804043
+0.00962749
+0.011384
+0.0132312
+0.0151066
+0.0170463
+0.0190245
+0.0210449
+0.023005
+0.0249869
+0.0270011
+0.0280324
+0.0260408
+0.0240838
+0.0221706
+0.0203135
+0.0185271
+0.016823
+0.0152403
+0.0137958
+0.012568
+0.0116202
+0.0110045
+0.0107364
+0.0108297
+0.011307
+0.0121223
+0.0132355
+0.0145946
+0.0448785
+0.0443383
+0.0439008
+0.0435693
+0.0433461
+0.0432329
+0.0432305
+0.043339
+0.0435406
+0.0438465
+0.0442588
+0.0447747
+0.0453905
+0.0461023
+0.0469058
+0.0477961
+0.0487688
+0.0498188
+0.0509414
+0.052132
+0.0524497
+0.0504463
+0.048459
+0.046485
+0.0445264
+0.0425904
+0.0406803
+0.0387999
+0.0369536
+0.035147
+0.0333863
+0.0316793
+0.0300352
+0.0284648
+0.026981
+0.0255988
+0.0242434
+0.0224611
+0.0207572
+0.0191525
+0.0176688
+0.0163424
+0.0152171
+0.0143108
+0.0136708
+0.0133634
+0.0133713
+0.0137049
+0.0133766
+0.0126546
+0.012235
+0.0121653
+0.0124455
+0.0130915
+0.0140527
+0.015256
+0.0166282
+0.0181617
+0.0198191
+0.0203122
+0.0182655
+0.016255
+0.0142736
+0.0123586
+0.0105512
+0.00885727
+0.00739489
+0.00628786
+0.00573812
+0.0058829
+0.0067332
+0.00799511
+0.00958762
+0.0113422
+0.0131941
+0.0151259
+0.0170589
+0.0190358
+0.0210551
+0.0230948
+0.0250696
+0.0270777
+0.0288704
+0.0269408
+0.0250542
+0.0232211
+0.021446
+0.0197508
+0.0181619
+0.0167066
+0.0154002
+0.0143107
+0.0134783
+0.0129312
+0.0127039
+0.0127803
+0.0132049
+0.0139149
+0.0149003
+0.0161197
+0.0469357
+0.0464194
+0.0460018
+0.0456855
+0.0454727
+0.0453648
+0.0453625
+0.0454659
+0.0456598
+0.0459516
+0.0463452
+0.0468381
+0.0474271
+0.0481088
+0.0488793
+0.0497343
+0.0506698
+0.0516812
+0.0527642
+0.0539145
+0.0526863
+0.0506923
+0.0487151
+0.0467517
+0.0448048
+0.0428814
+0.0409849
+0.0391191
+0.0372886
+0.035499
+0.0337567
+0.0320695
+0.0304464
+0.0288984
+0.027438
+0.0260801
+0.0246384
+0.0228869
+0.0212172
+0.0196501
+0.018207
+0.0169228
+0.0158388
+0.0149702
+0.0143596
+0.0140672
+0.0140748
+0.0143921
+0.0140827
+0.0133957
+0.0130001
+0.0129676
+0.0132686
+0.0138763
+0.0147866
+0.0159346
+0.0172529
+0.0187353
+0.020346
+0.0204957
+0.0184642
+0.0164636
+0.0145107
+0.0126304
+0.0108592
+0.0092539
+0.00785372
+0.00687652
+0.00638785
+0.00653914
+0.00730381
+0.00847849
+0.00999756
+0.0116973
+0.0135006
+0.0154047
+0.0173503
+0.0192974
+0.0212919
+0.0233216
+0.0253421
+0.0273302
+0.0293471
+0.0279837
+0.0261695
+0.0244092
+0.0227238
+0.0211313
+0.0196544
+0.018318
+0.0171349
+0.0161575
+0.0154239
+0.014931
+0.0147333
+0.0147982
+0.0151805
+0.0158033
+0.0166871
+0.0177844
+0.0490044
+0.0485102
+0.0481107
+0.0478084
+0.0476051
+0.047502
+0.0474998
+0.0475986
+0.0477854
+0.0480643
+0.0484408
+0.0489125
+0.0494769
+0.0501307
+0.0508706
+0.0516927
+0.0525933
+0.0535684
+0.054614
+0.0550098
+0.0530125
+0.0510312
+0.0490677
+0.047119
+0.0451879
+0.0432815
+0.0414033
+0.0395572
+0.037748
+0.0359813
+0.0342635
+0.0326025
+0.0310073
+0.0294887
+0.0280591
+0.0267328
+0.0252181
+0.0235099
+0.0218878
+0.0203723
+0.0189842
+0.0177563
+0.0167067
+0.0158615
+0.015286
+0.0150111
+0.0150204
+0.0153183
+0.0150741
+0.0144344
+0.014068
+0.014038
+0.0143267
+0.0148913
+0.015743
+0.0168349
+0.0181214
+0.0195391
+0.0210885
+0.0208802
+0.0188901
+0.0169399
+0.0150489
+0.0132453
+0.0115686
+0.0100873
+0.00882362
+0.00794965
+0.00753094
+0.00766716
+0.00832395
+0.00942262
+0.010822
+0.0124123
+0.014136
+0.0159628
+0.0178716
+0.0197876
+0.0217472
+0.0237386
+0.0257618
+0.0277379
+0.029598
+0.0291464
+0.0274022
+0.0257264
+0.0241332
+0.02264
+0.0212681
+0.0200393
+0.0189549
+0.01807
+0.0174171
+0.0169779
+0.0168023
+0.0168593
+0.0171974
+0.0177613
+0.0185558
+0.0195531
+0.0510834
+0.0506094
+0.0502267
+0.0499372
+0.0497425
+0.0496439
+0.0496418
+0.0497364
+0.0499167
+0.0501837
+0.0505444
+0.0509967
+0.0515383
+0.0521663
+0.0528776
+0.053669
+0.054537
+0.055478
+0.0564882
+0.0554089
+0.0534266
+0.0514613
+0.0495148
+0.0475843
+0.0456729
+0.0437876
+0.0419321
+0.0401104
+0.0383273
+0.0365885
+0.0349007
+0.0332715
+0.03171
+0.0302267
+0.0288337
+0.0275447
+0.0259561
+0.0242998
+0.0227341
+0.0212791
+0.0199588
+0.0187861
+0.0177706
+0.0169785
+0.0164421
+0.0161869
+0.0161959
+0.0164725
+0.0162772
+0.0156592
+0.0153222
+0.0152946
+0.0155782
+0.0161322
+0.0169216
+0.0179421
+0.019157
+0.0205343
+0.0220247
+0.0214824
+0.0195536
+0.0176768
+0.0158739
+0.0141755
+0.0126231
+0.0112811
+0.0101669
+0.00940396
+0.00904562
+0.00917035
+0.00973627
+0.0106909
+0.0119425
+0.0134005
+0.015011
+0.0167425
+0.0185713
+0.0204674
+0.0223692
+0.0243197
+0.0262957
+0.0282248
+0.0299019
+0.0304163
+0.0287492
+0.0271566
+0.0256524
+0.024253
+0.0229775
+0.0218268
+0.0208338
+0.0200321
+0.0194451
+0.0190475
+0.0188939
+0.0189495
+0.019251
+0.0197681
+0.020485
+0.0214
+0.0531713
+0.0527161
+0.0523488
+0.052071
+0.0518844
+0.0517899
+0.0517879
+0.0518785
+0.0520529
+0.052309
+0.0526552
+0.0530895
+0.0536099
+0.0542139
+0.0548987
+0.0556614
+0.0564988
+0.0574076
+0.057872
+0.0558912
+0.0539266
+0.0519802
+0.0500539
+0.0481449
+0.0462566
+0.0443962
+0.0425672
+0.0407739
+0.0390211
+0.0373147
+0.0356612
+0.0340684
+0.0325452
+0.0311018
+0.0297498
+0.0285022
+0.0268322
+0.0252335
+0.0237295
+0.0223394
+0.0210856
+0.0199799
+0.0190282
+0.0182907
+0.0177939
+0.0175583
+0.017567
+0.0178223
+0.0176407
+0.0170722
+0.0167636
+0.0167384
+0.0169979
+0.0175294
+0.0182829
+0.0192342
+0.0203738
+0.0216739
+0.023109
+0.0222845
+0.0204316
+0.0186434
+0.0169436
+0.015364
+0.0139445
+0.0127196
+0.0117402
+0.0110877
+0.0107854
+0.0108993
+0.0113808
+0.0122072
+0.0133072
+0.014652
+0.0161378
+0.0177598
+0.0194934
+0.0213112
+0.0231807
+0.0250681
+0.0269511
+0.0288684
+0.0303528
+0.0315171
+0.0301952
+0.028683
+0.0272632
+0.0259507
+0.0247534
+0.0236806
+0.0227685
+0.0220373
+0.0214977
+0.0211359
+0.0209976
+0.0210601
+0.0213318
+0.0218104
+0.0224621
+0.0233024
+0.0552672
+0.0548294
+0.0544763
+0.0542095
+0.0540302
+0.0539394
+0.0539375
+0.0540246
+0.0541934
+0.0544395
+0.0547722
+0.0551899
+0.0556907
+0.0562723
+0.0569324
+0.0576682
+0.0584768
+0.0593554
+0.0584161
+0.0564544
+0.0545101
+0.0525853
+0.050682
+0.0487975
+0.0469355
+0.0451031
+0.0433039
+0.0415424
+0.0398235
+0.038153
+0.0365375
+0.0349846
+0.033503
+0.0321027
+0.0307946
+0.0294729
+0.0278535
+0.0263169
+0.0248784
+0.0235562
+0.0223707
+0.0213325
+0.0204439
+0.0197592
+0.0193003
+0.0190833
+0.0190916
+0.0193268
+0.0191507
+0.0186362
+0.0183539
+0.0183309
+0.0185681
+0.0190559
+0.0197756
+0.020663
+0.0217313
+0.0229594
+0.0243233
+0.0232659
+0.0214859
+0.0197878
+0.0181952
+0.0167385
+0.015451
+0.0143259
+0.0134639
+0.0129133
+0.0126547
+0.0127355
+0.01315
+0.0138916
+0.0148675
+0.0160844
+0.0174679
+0.0189765
+0.0206079
+0.0223353
+0.024138
+0.0259299
+0.027745
+0.029611
+0.0309308
+0.0320756
+0.0317267
+0.0302911
+0.0289502
+0.0277169
+0.0265836
+0.0255876
+0.024746
+0.0240749
+0.0235726
+0.0232431
+0.0231174
+0.0231796
+0.0234267
+0.0238723
+0.0244705
+0.025244
+0.0573701
+0.0569485
+0.0566086
+0.0563519
+0.0561795
+0.0560922
+0.0560904
+0.0561741
+0.0563379
+0.0565746
+0.0568948
+0.057297
+0.0577795
+0.0583404
+0.0589773
+0.0596879
+0.0604695
+0.0609939
+0.0590365
+0.0570962
+0.0551745
+0.0532737
+0.0513959
+0.0495385
+0.0477054
+0.0459037
+0.0441372
+0.0424103
+0.0407281
+0.0390962
+0.0375213
+0.0360109
+0.0345728
+0.0332167
+0.0319535
+0.0305614
+0.0290028
+0.0275304
+0.0261588
+0.0249046
+0.0237865
+0.0227923
+0.0219633
+0.0213279
+0.0209038
+0.0207041
+0.0207164
+0.0209333
+0.0207804
+0.020304
+0.0200452
+0.0200241
+0.0202416
+0.0206899
+0.0213547
+0.0221902
+0.0231882
+0.024343
+0.0256333
+0.0243868
+0.0226942
+0.0210936
+0.0196074
+0.0182636
+0.0170829
+0.0160709
+0.0153075
+0.0148107
+0.0145858
+0.0146587
+0.0150201
+0.0156821
+0.0165683
+0.0176684
+0.0189453
+0.0203451
+0.0218751
+0.0235099
+0.0252291
+0.0269314
+0.0286832
+0.0304918
+0.0316503
+0.0327712
+0.0333319
+0.0319684
+0.0307009
+0.0295263
+0.0284647
+0.0275369
+0.0267566
+0.0261372
+0.0256668
+0.0253645
+0.0252494
+0.0253075
+0.025534
+0.0259441
+0.0265038
+0.0272196
+0.0594794
+0.0590729
+0.0587453
+0.0584979
+0.0583319
+0.0582478
+0.058246
+0.0583266
+0.0584857
+0.0587138
+0.0590224
+0.0594102
+0.0598757
+0.0604171
+0.0610323
+0.0617193
+0.0624755
+0.0616662
+0.0597309
+0.0578138
+0.0559169
+0.0540421
+0.052192
+0.0503639
+0.048562
+0.0467933
+0.0450617
+0.0433716
+0.0417281
+0.0401368
+0.0386036
+0.0371365
+0.0357435
+0.0344335
+0.0332166
+0.0317604
+0.0302636
+0.0288556
+0.0275501
+0.0263622
+0.0252906
+0.0243498
+0.0235756
+0.0229848
+0.0225918
+0.0224072
+0.0224192
+0.0226198
+0.0225032
+0.0220534
+0.0218154
+0.021796
+0.021996
+0.0224092
+0.0230244
+0.0238211
+0.0247535
+0.0258384
+0.0270575
+0.0256456
+0.0240418
+0.0225371
+0.0211526
+0.0199133
+0.0188272
+0.017914
+0.0172325
+0.0167797
+0.0165815
+0.016648
+0.0169672
+0.0175559
+0.0183508
+0.0193499
+0.0205176
+0.0218168
+0.0232501
+0.0247944
+0.0264302
+0.0280597
+0.0297451
+0.0314928
+0.0325017
+0.0335956
+0.0347676
+0.0337047
+0.0324978
+0.031384
+0.0303874
+0.02952
+0.0287936
+0.0282189
+0.0277759
+0.0274968
+0.0273906
+0.0274452
+0.0276542
+0.0280334
+0.0285604
+0.0292258
+0.0615944
+0.0612019
+0.0608857
+0.0606471
+0.060487
+0.0604059
+0.0604042
+0.0604819
+0.0606366
+0.0608566
+0.0611544
+0.0615288
+0.0619784
+0.0625015
+0.0630965
+0.0637612
+0.0643376
+0.0624083
+0.0604967
+0.0586047
+0.0567342
+0.0548873
+0.0530667
+0.0512697
+0.0495008
+0.0477668
+0.0460718
+0.0444197
+0.0428158
+0.0412659
+0.0397763
+0.0383541
+0.0370069
+0.0357433
+0.0345725
+0.0330612
+0.0316261
+0.0302815
+0.0290401
+0.0279095
+0.0268819
+0.0259987
+0.025275
+0.0247249
+0.02436
+0.0241889
+0.0242007
+0.0243866
+0.0242919
+0.0238758
+0.0236561
+0.0236383
+0.0238227
+0.0242048
+0.0247755
+0.025522
+0.0264079
+0.0274275
+0.0285789
+0.0270236
+0.0255067
+0.0240936
+0.0228038
+0.0216592
+0.0206559
+0.019828
+0.0192145
+0.0187978
+0.0186211
+0.0186825
+0.0189674
+0.0194943
+0.02021
+0.0211242
+0.022195
+0.0234012
+0.024743
+0.0261994
+0.0277525
+0.0293086
+0.030926
+0.0325238
+0.0334751
+0.0345393
+0.0356804
+0.0354911
+0.0343345
+0.0332822
+0.0323442
+0.0315307
+0.0308516
+0.0303123
+0.0298967
+0.0296376
+0.0295391
+0.0295907
+0.0297846
+0.030137
+0.0306356
+0.0312569
+0.0637144
+0.063335
+0.0630296
+0.0627991
+0.0626444
+0.0625662
+0.0625645
+0.0626395
+0.0627902
+0.0630028
+0.0632904
+0.0636522
+0.0640869
+0.064593
+0.0651689
+0.0658127
+0.0651229
+0.0632175
+0.0613312
+0.0594658
+0.0576232
+0.0558058
+0.0540161
+0.0522517
+0.050517
+0.0488186
+0.0471608
+0.0455481
+0.0439853
+0.0424781
+0.0410325
+0.0396554
+0.0383539
+0.0371362
+0.0359082
+0.0344524
+0.0330776
+0.0317945
+0.0306145
+0.0295222
+0.0285527
+0.0277228
+0.0270453
+0.0265319
+0.0261922
+0.0260331
+0.0260446
+0.0262175
+0.0261418
+0.0257556
+0.0255521
+0.0255356
+0.0257064
+0.0260609
+0.0265918
+0.0272887
+0.0281357
+0.0290948
+0.0300286
+0.0285032
+0.0270693
+0.0257422
+0.0245391
+0.0234728
+0.0225382
+0.0217846
+0.0212311
+0.0208508
+0.0206917
+0.0207488
+0.0210057
+0.0214628
+0.0221069
+0.022943
+0.0239509
+0.0250771
+0.0263336
+0.0277066
+0.0291752
+0.0306633
+0.0322128
+0.0336395
+0.0345601
+0.0355919
+0.0367015
+0.0373091
+0.0362106
+0.0352144
+0.0343292
+0.0335639
+0.0329267
+0.0324152
+0.0320269
+0.0317852
+0.0316934
+0.0317424
+0.0319232
+0.0322522
+0.0327246
+0.0333082
+0.0658367
+0.0654697
+0.0651742
+0.0649514
+0.0648018
+0.0647262
+0.0647246
+0.0647971
+0.0649435
+0.0651519
+0.0654301
+0.0657801
+0.0662008
+0.0666909
+0.0672488
+0.0678704
+0.0659717
+0.0640915
+0.0622317
+0.060394
+0.0585807
+0.0567939
+0.0550364
+0.0533047
+0.051605
+0.0499436
+0.0483244
+0.0467519
+0.0452307
+0.0437664
+0.0423648
+0.0410324
+0.039776
+0.0386032
+0.0373218
+0.0359233
+0.034607
+0.0333827
+0.032244
+0.0312054
+0.0302898
+0.0295088
+0.0288732
+0.0283929
+0.0280758
+0.0279274
+0.0279387
+0.0280999
+0.0280408
+0.0276812
+0.0274919
+0.0274766
+0.0276354
+0.0279655
+0.0284608
+0.029113
+0.0299118
+0.0308276
+0.0315108
+0.0300607
+0.0287047
+0.0274568
+0.0263322
+0.0253341
+0.0244707
+0.0237783
+0.0232724
+0.0229293
+0.0227847
+0.0228148
+0.023049
+0.023455
+0.0240459
+0.0248167
+0.0257514
+0.0268273
+0.0280054
+0.0293001
+0.0306653
+0.032096
+0.0335933
+0.0348573
+0.0357466
+0.0367451
+0.037822
+0.03899
+0.0381203
+0.0371753
+0.0363379
+0.0356157
+0.035016
+0.0345291
+0.0341648
+0.0339383
+0.0338523
+0.033899
+0.0340684
+0.0343769
+0.0348208
+0.0353762
+0.0679634
+0.0676079
+0.0673218
+0.0671061
+0.0669614
+0.0668882
+0.0668866
+0.0669568
+0.0670985
+0.0673037
+0.067573
+0.067912
+0.0683196
+0.0687946
+0.0693355
+0.0687551
+0.0668814
+0.0650276
+0.0631953
+0.0613865
+0.0596033
+0.0578482
+0.0561236
+0.0544252
+0.0527616
+0.0511378
+0.0495577
+0.0480255
+0.046546
+0.0451244
+0.0437663
+0.0424778
+0.0412655
+0.0401354
+0.0388077
+0.0374647
+0.0362045
+0.0350284
+0.0339336
+0.0329483
+0.0320825
+0.0313462
+0.0307486
+0.0302981
+0.0300011
+0.0298622
+0.0298734
+0.0300242
+0.0299797
+0.0296436
+0.0294669
+0.0294526
+0.0296009
+0.0299092
+0.0303729
+0.0309849
+0.0317366
+0.0326156
+0.0330705
+0.0316918
+0.0304086
+0.0292335
+0.0281799
+0.0272444
+0.0264434
+0.0258041
+0.0253386
+0.0250258
+0.0248604
+0.0248834
+0.0250983
+0.0254799
+0.0260249
+0.0267387
+0.0276083
+0.0286196
+0.0297446
+0.0309552
+0.0322356
+0.0335994
+0.0350473
+0.036167
+0.0370248
+0.0379897
+0.0390334
+0.0401662
+0.0400588
+0.0391605
+0.0383665
+0.0376832
+0.0371169
+0.0366519
+0.036309
+0.0360959
+0.0360151
+0.0360598
+0.0362191
+0.0365094
+0.0369276
+0.0374581
+0.070094
+0.0697494
+0.0694721
+0.0692631
+0.0691229
+0.069052
+0.0690505
+0.0691185
+0.0692557
+0.0694579
+0.0697189
+0.0700475
+0.0704428
+0.0709035
+0.0714285
+0.0696974
+0.0678497
+0.0660231
+0.0642192
+0.0624401
+0.0606879
+0.0589642
+0.057265
+0.0556001
+0.0539728
+0.0523865
+0.0508452
+0.049353
+0.0479145
+0.0465348
+0.0452191
+0.0439732
+0.0428025
+0.0417081
+0.0403578
+0.0390681
+0.0378613
+0.0367206
+0.0356778
+0.034742
+0.033922
+0.0332265
+0.0326633
+0.0322395
+0.0319606
+0.0318303
+0.0318412
+0.0319827
+0.0319505
+0.031636
+0.0314705
+0.0314571
+0.0315959
+0.031885
+0.0323204
+0.0328961
+0.0336051
+0.034439
+0.0346983
+0.033387
+0.0321715
+0.0310631
+0.0300737
+0.0291941
+0.0284481
+0.0278548
+0.0274052
+0.0271062
+0.0269501
+0.0269713
+0.0271696
+0.0275283
+0.0280329
+0.0286964
+0.0295079
+0.0304556
+0.0315223
+0.0326496
+0.0338747
+0.0351751
+0.0365606
+0.0375516
+0.0383785
+0.0393102
+0.0403275
+0.041425
+0.042022
+0.0411666
+0.040412
+0.0397639
+0.0392261
+0.0387824
+0.0384584
+0.0382573
+0.0381811
+0.038224
+0.0383743
+0.0386484
+0.0390437
+0.0395518
+0.0722282
+0.0718938
+0.0716249
+0.0714222
+0.0712862
+0.0712174
+0.071216
+0.0712819
+0.071415
+0.0716143
+0.0718675
+0.0721863
+0.0725699
+0.0730173
+0.0725363
+0.070695
+0.0688741
+0.0670754
+0.0653006
+0.0635517
+0.0618264
+0.0601282
+0.0584627
+0.0568329
+0.055242
+0.0536932
+0.0521905
+0.0507379
+0.0493398
+0.048001
+0.0467266
+0.045522
+0.0443875
+0.0432793
+0.041965
+0.0407263
+0.0395539
+0.0384631
+0.0374689
+0.0365789
+0.035801
+0.0351427
+0.0346108
+0.0342111
+0.0339483
+0.0338257
+0.0338364
+0.0339696
+0.0339422
+0.033653
+0.0334975
+0.0334849
+0.0336154
+0.0338873
+0.0342972
+0.0348403
+0.0355105
+0.0363007
+0.0363853
+0.035137
+0.0339841
+0.0329368
+0.0320054
+0.0311759
+0.0304784
+0.0299165
+0.029482
+0.0291997
+0.0290546
+0.0290742
+0.0292584
+0.0295899
+0.0300599
+0.0306795
+0.0314398
+0.032331
+0.033332
+0.0344002
+0.0355713
+0.0368137
+0.0381397
+0.0390003
+0.0397971
+0.0406963
+0.0416914
+0.0427589
+0.043905
+0.0431906
+0.042472
+0.0418558
+0.04134
+0.0409191
+0.0406122
+0.0404218
+0.0403497
+0.040391
+0.0405333
+0.0407929
+0.0411676
+0.0416542
+0.0743658
+0.074041
+0.0737799
+0.0735831
+0.0734512
+0.0733844
+0.073383
+0.073447
+0.0735762
+0.0737702
+0.0740186
+0.0743282
+0.0747008
+0.0751354
+0.0735607
+0.0717456
+0.0699521
+0.0681818
+0.0664358
+0.0647103
+0.0630136
+0.0613483
+0.0597169
+0.0581222
+0.0565675
+0.0550561
+0.0535916
+0.052178
+0.0508196
+0.0495208
+0.0482865
+0.0471183
+0.0460223
+0.0448888
+0.0436231
+0.0424242
+0.0412931
+0.0402495
+0.0393004
+0.0384529
+0.0377137
+0.0370893
+0.0365857
+0.0362078
+0.0359597
+0.0358439
+0.0358545
+0.0359802
+0.035957
+0.0356906
+0.035544
+0.0355321
+0.0356551
+0.0359115
+0.0362986
+0.0368122
+0.0374471
+0.0381972
+0.0381236
+0.0369341
+0.0358391
+0.0348475
+0.0339672
+0.0331839
+0.0325272
+0.0319786
+0.0315727
+0.0313063
+0.031171
+0.0311893
+0.031361
+0.0316687
+0.0321083
+0.0326891
+0.0334038
+0.0342438
+0.0351852
+0.0361987
+0.0373134
+0.0385073
+0.0397769
+0.0405157
+0.0412833
+0.0421508
+0.0431123
+0.0441613
+0.0452559
+0.0452302
+0.0445445
+0.0439574
+0.0434615
+0.0430613
+0.0427698
+0.042589
+0.0425206
+0.0425604
+0.0426955
+0.0429421
+0.0432982
+0.0437612
+0.0765063
+0.0761907
+0.0759369
+0.0757458
+0.0756176
+0.0755527
+0.0755514
+0.0756135
+0.075739
+0.0759275
+0.0761719
+0.0764728
+0.076835
+0.0764445
+0.0746353
+0.0728471
+0.0710813
+0.0693356
+0.0676131
+0.0659183
+0.0642536
+0.0626213
+0.0610239
+0.0594643
+0.0579456
+0.0564711
+0.0550443
+0.0536689
+0.0523492
+0.0510893
+0.0498921
+0.04876
+0.0477017
+0.0465459
+0.0453226
+0.0441571
+0.0430715
+0.042072
+0.041165
+0.0403566
+0.0396529
+0.0390596
+0.0385817
+0.0382235
+0.0379886
+0.037879
+0.0378917
+0.0380107
+0.0379914
+0.0377452
+0.0376067
+0.0375954
+0.0377117
+0.0379542
+0.0383207
+0.0388075
+0.0394103
+0.0401237
+0.0399064
+0.0387716
+0.03773
+0.0367895
+0.0359528
+0.0352121
+0.0345674
+0.0340517
+0.0336709
+0.0334237
+0.033297
+0.0333142
+0.033475
+0.0337617
+0.0341744
+0.0347207
+0.0353943
+0.0361868
+0.0370687
+0.0380383
+0.0391006
+0.0402489
+0.041454
+0.0420906
+0.04283
+0.0436668
+0.0445956
+0.045609
+0.0466654
+0.0472833
+0.0466278
+0.0460672
+0.0455895
+0.0452082
+0.0449305
+0.0447586
+0.0446934
+0.044732
+0.0448605
+0.0450952
+0.0454345
+0.0458759
+0.0786496
+0.0783426
+0.0780958
+0.0779099
+0.0777853
+0.0777223
+0.077721
+0.0777814
+0.0779034
+0.0780867
+0.0783273
+0.0786199
+0.0789723
+0.077541
+0.075758
+0.0739961
+0.0722519
+0.0705325
+0.0688399
+0.0671762
+0.0655434
+0.0639439
+0.0623805
+0.0608557
+0.0593726
+0.0579344
+0.0565445
+0.0552065
+0.0539244
+0.052702
+0.0515385
+0.0504434
+0.0494211
+0.0482445
+0.0470501
+0.0459284
+0.0448856
+0.0439275
+0.0430596
+0.0422874
+0.0416164
+0.0410514
+0.040597
+0.0402568
+0.0400337
+0.0399298
+0.039942
+0.0400549
+0.0400422
+0.0398144
+0.0396831
+0.0396724
+0.0397826
+0.0400126
+0.0403604
+0.0408229
+0.0413963
+0.0420761
+0.0417281
+0.0406442
+0.0396518
+0.0387579
+0.03796
+0.0372341
+0.036625
+0.0361386
+0.03578
+0.0355499
+0.0354309
+0.035447
+0.0355982
+0.0358664
+0.0362551
+0.0367705
+0.0374072
+0.0381408
+0.0389785
+0.0399134
+0.0409271
+0.0420305
+0.043106
+0.0437186
+0.0444309
+0.0452381
+0.0461353
+0.0471098
+0.0481332
+0.0492329
+0.0487205
+0.0481838
+0.0477231
+0.047359
+0.0470941
+0.04693
+0.0468679
+0.0469053
+0.0470279
+0.0472518
+0.0475757
+0.0479975
+0.0807954
+0.0804966
+0.0802565
+0.0800756
+0.0799544
+0.079893
+0.0798918
+0.0799505
+0.0800692
+0.0802476
+0.0804846
+0.0807694
+0.0804612
+0.0786833
+0.0769229
+0.0751827
+0.0734666
+0.0717763
+0.0701138
+0.068481
+0.06688
+0.0653134
+0.0637835
+0.062293
+0.060845
+0.0594424
+0.0580886
+0.0567871
+0.0555414
+0.0543516
+0.0532242
+0.0521644
+0.0511766
+0.0499677
+0.0488147
+0.0477345
+0.0467321
+0.0458126
+0.044981
+0.0442424
+0.0436015
+0.0430626
+0.0426296
+0.0423057
+0.0420936
+0.0419947
+0.0420063
+0.0421137
+0.0421071
+0.0418907
+0.0417695
+0.0417594
+0.0418641
+0.0420827
+0.0424135
+0.0428538
+0.0434004
+0.0440493
+0.0435838
+0.0425472
+0.0416002
+0.0407491
+0.039963
+0.0392741
+0.0386972
+0.0382372
+0.0378984
+0.0376829
+0.0375713
+0.0375865
+0.0377291
+0.0379808
+0.0383481
+0.0388357
+0.0394278
+0.0401192
+0.0409164
+0.0418133
+0.0427877
+0.0438444
+0.0448043
+0.045394
+0.0460803
+0.0468591
+0.0477259
+0.048663
+0.0496544
+0.0507211
+0.0508215
+0.0503032
+0.0498618
+0.0495134
+0.04926
+0.0491032
+0.0490438
+0.0490801
+0.0491973
+0.0494114
+0.0497212
+0.0501249
+0.0829435
+0.0826525
+0.0824187
+0.0822426
+0.0821245
+0.0820648
+0.0820636
+0.0821208
+0.0822363
+0.08241
+0.0826414
+0.082921
+0.0816206
+0.0798626
+0.0781264
+0.0764136
+0.0747258
+0.0730647
+0.0714321
+0.0698301
+0.0682608
+0.0667266
+0.0652298
+0.0637732
+0.0623596
+0.0609918
+0.0596732
+0.058407
+0.0571941
+0.0560382
+0.0549454
+0.0539196
+0.0529058
+0.0517256
+0.0506127
+0.0495717
+0.0486071
+0.0477238
+0.0469261
+0.0462186
+0.0456055
+0.0450905
+0.0446772
+0.0443683
+0.044166
+0.0440718
+0.0440828
+0.0441852
+0.0441842
+0.0439779
+0.043861
+0.0438513
+0.043951
+0.0441593
+0.0444747
+0.0448948
+0.0454169
+0.0460374
+0.0454671
+0.0444744
+0.0435694
+0.0427423
+0.0419848
+0.0413296
+0.0407817
+0.0403455
+0.0400246
+0.0398216
+0.0397172
+0.0397316
+0.0398666
+0.0400976
+0.0404461
+0.0409081
+0.0414606
+0.0421187
+0.0428787
+0.0437354
+0.0446758
+0.0456888
+0.0465437
+0.0471116
+0.0477733
+0.0485249
+0.0493624
+0.0502637
+0.0512241
+0.0522587
+0.0529297
+0.0524281
+0.0520047
+0.0516708
+0.051428
+0.0512778
+0.051221
+0.0512563
+0.0513685
+0.0515736
+0.0518705
+0.0522576
+0.0884554
+0.0870739
+0.0857222
+0.0843564
+0.0829868
+0.0816531
+0.0803174
+0.079013
+0.0776976
+0.076377
+0.0750972
+0.0738601
+0.072668
+0.0715192
+0.0703511
+0.0692256
+0.0680991
+0.0669961
+0.0658839
+0.0647563
+0.0636615
+0.0626242
+0.0616421
+0.0606342
+0.0596767
+0.0587845
+0.0579448
+0.0571749
+0.056423
+0.0556187
+0.0548113
+0.0540753
+0.0533549
+0.0527158
+0.0521287
+0.051596
+0.0511441
+0.0507619
+0.0504378
+0.0502069
+0.0500314
+0.0497117
+0.0494672
+0.0492976
+0.0491157
+0.049031
+0.049022
+0.049087
+0.0492387
+0.049487
+0.0498052
+0.0502052
+0.0506967
+0.0512736
+0.0519043
+0.0526187
+0.0534064
+0.0542269
+0.0551222
+0.0556749
+0.0544877
+0.0533558
+0.0522912
+0.0512982
+0.0503808
+0.0495434
+0.0487901
+0.0481248
+0.0475512
+0.0470726
+0.0466921
+0.0464119
+0.0462339
+0.0461593
+0.0461868
+0.0462998
+0.0465158
+0.0468334
+0.0472505
+0.0477646
+0.0483724
+0.0490669
+0.0498332
+0.0506728
+0.0515294
+0.0524485
+0.0534391
+0.0544998
+0.0556265
+0.0568155
+0.0580628
+0.0593607
+0.0606566
+0.0619965
+0.0633772
+0.0648019
+0.0662304
+0.0676772
+0.0691597
+0.0706694
+0.0867989
+0.0854123
+0.084034
+0.0826906
+0.0813216
+0.0799601
+0.078631
+0.0772983
+0.0760053
+0.0746861
+0.0733767
+0.0721101
+0.0708886
+0.0697133
+0.0685682
+0.0674129
+0.0663098
+0.0651784
+0.0641
+0.0629764
+0.0618622
+0.0607942
+0.0597864
+0.0588074
+0.0578197
+0.0568993
+0.0560329
+0.0552382
+0.0545026
+0.053745
+0.052909
+0.0521517
+0.0514305
+0.0507671
+0.050174
+0.0496254
+0.0491554
+0.0487684
+0.0484309
+0.0481864
+0.0480257
+0.0477346
+0.0474904
+0.0473296
+0.0471959
+0.0471077
+0.0471027
+0.0471761
+0.0473339
+0.0475922
+0.0479274
+0.0483428
+0.0488531
+0.0494553
+0.0501141
+0.0508536
+0.0516544
+0.0525022
+0.0534264
+0.0539926
+0.0527676
+0.051598
+0.0504963
+0.0494672
+0.0485153
+0.0476451
+0.0468613
+0.0461682
+0.0455699
+0.0450704
+0.0446727
+0.0443798
+0.0441936
+0.0441156
+0.0441444
+0.0442626
+0.0444885
+0.0448204
+0.0452561
+0.0457925
+0.0464263
+0.0471411
+0.0479382
+0.0487765
+0.0496596
+0.05061
+0.0516359
+0.0527329
+0.0538966
+0.0551229
+0.0564049
+0.0576855
+0.0590133
+0.0603827
+0.0617973
+0.0632117
+0.0646519
+0.0661281
+0.0676346
+0.0690633
+0.0851664
+0.0837533
+0.0823694
+0.0809985
+0.0796642
+0.0782918
+0.076939
+0.0756081
+0.0742857
+0.0730051
+0.071682
+0.0703849
+0.0691329
+0.0679285
+0.0667714
+0.0656233
+0.0644896
+0.0633843
+0.0622749
+0.0612163
+0.0600879
+0.0589888
+0.0579507
+0.0569729
+0.0559868
+0.0550357
+0.054142
+0.0533192
+0.0525745
+0.0518255
+0.0510298
+0.0502442
+0.0495281
+0.048839
+0.0482395
+0.0476738
+0.0471846
+0.0467925
+0.0464407
+0.0461794
+0.0460117
+0.0457765
+0.0455303
+0.0453708
+0.0452749
+0.0452088
+0.0452073
+0.0452873
+0.045455
+0.0457238
+0.0460771
+0.0465092
+0.0470393
+0.0476644
+0.0483568
+0.0491177
+0.0499369
+0.0508134
+0.0517678
+0.0523479
+0.0510835
+0.0498744
+0.0487338
+0.0476666
+0.046678
+0.0457729
+0.0449564
+0.0442335
+0.0436087
+0.0430864
+0.0426703
+0.0423635
+0.0421685
+0.0420867
+0.0421169
+0.0422407
+0.0424774
+0.0428249
+0.0432807
+0.0438413
+0.0445019
+0.0452394
+0.0460675
+0.0469059
+0.0478143
+0.0488006
+0.0498638
+0.0509989
+0.0522013
+0.0534652
+0.0547286
+0.0560417
+0.0573992
+0.0588024
+0.060201
+0.0616337
+0.063103
+0.0646057
+0.0660385
+0.0674806
+0.0835596
+0.0821188
+0.0807118
+0.0793307
+0.0779679
+0.0766435
+0.0752675
+0.0739244
+0.0725914
+0.0712804
+0.0700134
+0.0686862
+0.0674026
+0.0661667
+0.0649812
+0.0638442
+0.0626931
+0.0615835
+0.060474
+0.059391
+0.0583229
+0.0572103
+0.0561393
+0.0551341
+0.0541805
+0.0531971
+0.0522746
+0.0514219
+0.0506497
+0.049921
+0.0491764
+0.0483607
+0.0476319
+0.0469339
+0.0463097
+0.0457396
+0.045234
+0.0448251
+0.0444692
+0.0441899
+0.0440146
+0.0438404
+0.0435859
+0.0434256
+0.043356
+0.0433244
+0.0433366
+0.043424
+0.0436051
+0.0438853
+0.044258
+0.0447076
+0.0452589
+0.0459082
+0.0466363
+0.0474161
+0.0482578
+0.0491642
+0.0501497
+0.0507445
+0.0494391
+0.0481887
+0.0470072
+0.0459
+0.0448724
+0.0439302
+0.0430788
+0.0423238
+0.0416704
+0.0411235
+0.0406873
+0.0403654
+0.0401607
+0.0400748
+0.0401065
+0.0402366
+0.0404849
+0.0408494
+0.041327
+0.0419137
+0.042595
+0.0433649
+0.0441908
+0.0450582
+0.0459993
+0.0470237
+0.0481261
+0.0493012
+0.050544
+0.0517881
+0.0530835
+0.0544285
+0.0558188
+0.0571998
+0.0586239
+0.0600852
+0.0615837
+0.0630208
+0.0644559
+0.0659218
+0.0819648
+0.0805108
+0.0790751
+0.0776748
+0.0762968
+0.0749429
+0.0736233
+0.0722496
+0.0709169
+0.069582
+0.0682834
+0.067016
+0.0656998
+0.0644313
+0.0632132
+0.062047
+0.0609225
+0.0597799
+0.0586874
+0.0575833
+0.0565298
+0.0554517
+0.0543559
+0.0533176
+0.0523456
+0.0513849
+0.0504332
+0.0495488
+0.0487469
+0.0480316
+0.0472808
+0.0465041
+0.0457457
+0.0450547
+0.0444042
+0.0438284
+0.0433064
+0.0428791
+0.0425159
+0.0422202
+0.0420368
+0.0419223
+0.0416632
+0.0415049
+0.0414457
+0.0414309
+0.0414967
+0.0415926
+0.0417883
+0.0420806
+0.042474
+0.0429423
+0.0435159
+0.0441908
+0.0449532
+0.045756
+0.0466212
+0.0475588
+0.0485725
+0.0491864
+0.0478385
+0.0465451
+0.0453209
+0.0441714
+0.0431026
+0.0421208
+0.041232
+0.0404426
+0.0397583
+0.0391847
+0.0387267
+0.0383884
+0.038173
+0.0380827
+0.038116
+0.0382528
+0.038514
+0.038897
+0.0393982
+0.0400132
+0.0407167
+0.0415215
+0.042342
+0.0432385
+0.0442183
+0.0452831
+0.0464268
+0.0476439
+0.048867
+0.0501423
+0.0514729
+0.0528415
+0.0542088
+0.0556234
+0.0570761
+0.0585696
+0.0600113
+0.0614386
+0.0629036
+0.0643883
+0.0803672
+0.0789169
+0.0774658
+0.0760358
+0.0746428
+0.0732682
+0.071924
+0.070603
+0.0692386
+0.0679117
+0.0665806
+0.0652959
+0.0640267
+0.0627244
+0.0614725
+0.0602743
+0.0591295
+0.0580031
+0.0568863
+0.055803
+0.0547152
+0.0536897
+0.0526032
+0.0515297
+0.0505282
+0.0495939
+0.048619
+0.0477028
+0.0468693
+0.0461249
+0.045397
+0.0446779
+0.0438879
+0.0431904
+0.0425114
+0.0419359
+0.0414049
+0.0409578
+0.0405834
+0.0402735
+0.0400811
+0.0400079
+0.0397683
+0.0396088
+0.0395502
+0.0395682
+0.0396548
+0.0397975
+0.0400077
+0.040314
+0.0407296
+0.0412178
+0.0418151
+0.042517
+0.0433019
+0.0441423
+0.0450317
+0.0459994
+0.0470445
+0.0476781
+0.0462862
+0.0449483
+0.0436793
+0.0424854
+0.0413731
+0.0403492
+0.0394205
+0.038594
+0.0378764
+0.0372738
+0.036792
+0.0364358
+0.0362088
+0.0361135
+0.0361487
+0.0362929
+0.0365681
+0.0369712
+0.0374982
+0.0381362
+0.0388711
+0.039667
+0.0405195
+0.0414547
+0.0424757
+0.043583
+0.0447702
+0.0459692
+0.0472211
+0.048535
+0.0498755
+0.0512293
+0.0526328
+0.0540771
+0.0555648
+0.0570113
+0.0584298
+0.0598918
+0.0613741
+0.0628938
+0.0787981
+0.0773184
+0.0758731
+0.0744253
+0.0730015
+0.0716164
+0.0702458
+0.0689123
+0.0675897
+0.0662358
+0.0649071
+0.0635886
+0.0623192
+0.0610483
+0.0597614
+0.0585281
+0.0573519
+0.0562313
+0.0551032
+0.0540068
+0.0529291
+0.0518736
+0.0508605
+0.0497739
+0.0487365
+0.0477724
+0.0468277
+0.0458871
+0.04502
+0.0442445
+0.043542
+0.0428141
+0.0420583
+0.0413344
+0.0406466
+0.0400443
+0.0395229
+0.0390542
+0.0386783
+0.038353
+0.038151
+0.0380741
+0.0378913
+0.0377379
+0.0376851
+0.0377363
+0.0378314
+0.0380417
+0.0382637
+0.0385911
+0.0390212
+0.0395394
+0.0401617
+0.040892
+0.041696
+0.0425801
+0.0434945
+0.0444909
+0.0455706
+0.046192
+0.0447856
+0.0434033
+0.0420877
+0.0408473
+0.0396891
+0.0386206
+0.0376494
+0.0367831
+0.0360293
+0.0353954
+0.0348876
+0.0345117
+0.034272
+0.0341714
+0.0342085
+0.0343609
+0.0346514
+0.0350766
+0.0356316
+0.0362917
+0.0370581
+0.0378426
+0.0387353
+0.0397116
+0.0407763
+0.0419285
+0.0430993
+0.0443239
+0.0456183
+0.0469266
+0.0482647
+0.0496553
+0.0510898
+0.0525708
+0.0540224
+0.0554307
+0.0568886
+0.0583686
+0.0598844
+0.061441
+0.0772592
+0.0757495
+0.0742736
+0.0728338
+0.0713897
+0.0699727
+0.0685964
+0.0672302
+0.0659085
+0.0645845
+0.0632421
+0.0619117
+0.0606072
+0.0593549
+0.0580824
+0.0568128
+0.0556004
+0.0544472
+0.0533504
+0.0522261
+0.0511451
+0.050082
+0.0490631
+0.0480472
+0.0469785
+0.0459824
+0.0450437
+0.0441026
+0.0432027
+0.0423939
+0.0416848
+0.0409593
+0.0402641
+0.0395073
+0.0388158
+0.0381847
+0.0376592
+0.037167
+0.0367889
+0.0364631
+0.0362505
+0.0361695
+0.0360464
+0.0358963
+0.0358484
+0.0359138
+0.036049
+0.0362766
+0.0365678
+0.0369177
+0.0373597
+0.0379134
+0.038562
+0.0393149
+0.0401453
+0.0410644
+0.0420106
+0.0430411
+0.0441563
+0.0447558
+0.0433027
+0.0419138
+0.040552
+0.0392631
+0.0380568
+0.0369411
+0.0359245
+0.0350155
+0.0342229
+0.0335548
+0.0330188
+0.0326214
+0.0323677
+0.0322611
+0.0323004
+0.0324618
+0.0327691
+0.0332184
+0.0337995
+0.0344876
+0.0352348
+0.036059
+0.0369947
+0.0380149
+0.0391258
+0.0402632
+0.0414559
+0.042727
+0.0439981
+0.045318
+0.0466936
+0.0481166
+0.0495896
+0.0510464
+0.0524432
+0.0538928
+0.0553734
+0.0568847
+0.058439
+0.060024
+0.0757373
+0.074212
+0.072705
+0.0712335
+0.0697997
+0.0683598
+0.0669503
+0.0655782
+0.0642225
+0.0629138
+0.0615885
+0.060259
+0.0589269
+0.0576381
+0.056405
+0.0551311
+0.053881
+0.0526923
+0.051565
+0.0504685
+0.0493685
+0.0483126
+0.0472615
+0.0462847
+0.0452583
+0.0442234
+0.0432705
+0.0423448
+0.0414215
+0.0405772
+0.0398357
+0.0391392
+0.0384528
+0.037719
+0.0370242
+0.036362
+0.0358217
+0.0353149
+0.03492
+0.0345862
+0.0343845
+0.0342957
+0.0342422
+0.0340842
+0.0340536
+0.0341224
+0.0343014
+0.0345529
+0.0349241
+0.0353001
+0.0357553
+0.0363345
+0.0370172
+0.0377936
+0.0386567
+0.0396103
+0.0405904
+0.0416561
+0.0428073
+0.0433827
+0.041882
+0.0404444
+0.0390767
+0.0377397
+0.036483
+0.0353176
+0.0342529
+0.0332983
+0.0324638
+0.0317587
+0.0311919
+0.0307709
+0.0305018
+0.0303886
+0.0304299
+0.0306011
+0.030927
+0.0314026
+0.0320049
+0.0327126
+0.0334556
+0.0343225
+0.0353043
+0.036371
+0.0374686
+0.0386233
+0.0398627
+0.0410946
+0.0423929
+0.0437508
+0.0451602
+0.0466237
+0.048086
+0.0494693
+0.0509093
+0.0523897
+0.053896
+0.0554476
+0.0570276
+0.0586282
+0.0742267
+0.0726923
+0.0711693
+0.0696653
+0.0681986
+0.0667703
+0.0653353
+0.0639352
+0.0625677
+0.0612237
+0.0599295
+0.0586031
+0.0572811
+0.0559544
+0.0546833
+0.0534718
+0.0521968
+0.0509688
+0.0498066
+0.0487086
+0.0476137
+0.046531
+0.0454905
+0.0444748
+0.0435348
+0.0425046
+0.0415167
+0.0405985
+0.0396768
+0.0387992
+0.038023
+0.0373589
+0.0366392
+0.0359687
+0.0352625
+0.034582
+0.0340135
+0.0335036
+0.0330906
+0.0327381
+0.0325298
+0.0324503
+0.0324221
+0.032319
+0.0323005
+0.0323801
+0.0325949
+0.0328818
+0.0332678
+0.0337308
+0.0342159
+0.0348208
+0.0355325
+0.0363406
+0.0372375
+0.0382265
+0.0392412
+0.0403425
+0.0415302
+0.0420789
+0.04053
+0.0390426
+0.0376239
+0.0362822
+0.0349757
+0.0337583
+0.0326427
+0.0316397
+0.0307602
+0.0300151
+0.0294147
+0.0289678
+0.0286818
+0.0285615
+0.0286025
+0.0287846
+0.0291307
+0.0296352
+0.0302625
+0.0309435
+0.0317279
+0.0326407
+0.0336716
+0.0347255
+0.0358348
+0.0370238
+0.0382216
+0.0394914
+0.0408283
+0.0422242
+0.043676
+0.0451439
+0.0465116
+0.0479404
+0.0494178
+0.05092
+0.0524679
+0.0540426
+0.0556428
+0.0572822
+0.0726957
+0.0711846
+0.069652
+0.0681315
+0.066631
+0.0651696
+0.0637434
+0.0623158
+0.0609283
+0.0595663
+0.0582354
+0.0569545
+0.0556294
+0.0543069
+0.0529963
+0.0517453
+0.0505514
+0.0492825
+0.0480799
+0.0469453
+0.0458715
+0.0447857
+0.0437288
+0.0427007
+0.0417322
+0.0408143
+0.0398016
+0.0388638
+0.0379629
+0.0370653
+0.0362521
+0.0355554
+0.0348689
+0.0342371
+0.0335163
+0.0328517
+0.0322527
+0.0317402
+0.0313076
+0.0309348
+0.0307142
+0.030646
+0.0306205
+0.0306089
+0.0305812
+0.0306879
+0.0308928
+0.0312356
+0.0316766
+0.0322056
+0.0327509
+0.0333823
+0.034124
+0.0349647
+0.0358959
+0.0369209
+0.0379705
+0.0391076
+0.0403317
+0.040851
+0.0392537
+0.037716
+0.0362455
+0.0348507
+0.0335412
+0.0322725
+0.0311037
+0.0300493
+0.0291218
+0.0283336
+0.0276968
+0.0272218
+0.0269172
+0.0267889
+0.0268296
+0.0270236
+0.027392
+0.0279201
+0.0285467
+0.0292315
+0.0300606
+0.0310225
+0.0320472
+0.0331013
+0.0342298
+0.0353866
+0.0366168
+0.0379284
+0.0393129
+0.0407478
+0.0422243
+0.0435734
+0.0449889
+0.0464609
+0.0479557
+0.0494993
+0.0510711
+0.0526705
+0.0543112
+0.0559721
+0.0711246
+0.0696546
+0.0681474
+0.0666169
+0.0650994
+0.0636028
+0.0621475
+0.0607238
+0.0593044
+0.0579311
+0.0565753
+0.0552592
+0.0539921
+0.0526693
+0.0513474
+0.0500552
+0.0488271
+0.0476372
+0.046392
+0.0452185
+0.0441037
+0.0430646
+0.0419813
+0.0409669
+0.0399564
+0.0390337
+0.0381352
+0.0371604
+0.0362681
+0.0353759
+0.0345293
+0.0337971
+0.0331488
+0.0324836
+0.0318206
+0.031171
+0.0305395
+0.030033
+0.0295637
+0.0291846
+0.0289506
+0.0288782
+0.0288729
+0.0289145
+0.0288739
+0.0289869
+0.0292359
+0.0296077
+0.0301063
+0.0307158
+0.0313535
+0.0320291
+0.0328014
+0.0336752
+0.0346411
+0.0357021
+0.0367865
+0.0379591
+0.039219
+0.0397061
+0.0380608
+0.0364728
+0.03495
+0.0335014
+0.0321369
+0.0308677
+0.0296461
+0.0285379
+0.0275595
+0.0267254
+0.0260492
+0.0255436
+0.0252188
+0.0250818
+0.0251226
+0.0253297
+0.0257224
+0.026269
+0.0268607
+0.0275873
+0.0284643
+0.0294514
+0.0304378
+0.0314928
+0.0325892
+0.0337816
+0.0350625
+0.03642
+0.0378408
+0.0393143
+0.040659
+0.0420584
+0.0435231
+0.0450093
+0.0465476
+0.0481155
+0.0497135
+0.0513552
+0.0530213
+0.0547027
+0.0695807
+0.0680841
+0.0666189
+0.065116
+0.063588
+0.0620738
+0.0605817
+0.0591332
+0.0577124
+0.0563023
+0.0549434
+0.0535964
+0.0522972
+0.0510458
+0.049726
+0.0484052
+0.0471342
+0.0459325
+0.0447386
+0.0435207
+0.0423754
+0.0412983
+0.0402635
+0.0392212
+0.0382236
+0.0372675
+0.0363836
+0.0355052
+0.0345777
+0.0337234
+0.0328623
+0.0320921
+0.0314559
+0.0307862
+0.0301654
+0.0295117
+0.0288898
+0.0283764
+0.0278789
+0.0274931
+0.0272446
+0.0271706
+0.0271772
+0.0272236
+0.027235
+0.0273555
+0.0276345
+0.0280457
+0.0285715
+0.0292523
+0.0300378
+0.0307476
+0.031567
+0.0324823
+0.0334826
+0.0345793
+0.0356978
+0.036905
+0.0381997
+0.0386516
+0.0369593
+0.0353219
+0.0337472
+0.0322446
+0.0308245
+0.0294989
+0.028263
+0.0271182
+0.0260867
+0.0252039
+0.0244857
+0.0239471
+0.0236003
+0.0234539
+0.023496
+0.0237173
+0.0241297
+0.0246518
+0.0252522
+0.0260237
+0.0269517
+0.0278568
+0.0288216
+0.0298508
+0.0309969
+0.0322396
+0.0335555
+0.0349555
+0.0364289
+0.0377605
+0.0391538
+0.0406051
+0.0420848
+0.0436161
+0.0451791
+0.0467747
+0.048417
+0.0500827
+0.0517694
+0.0534507
+0.0680461
+0.0665419
+0.065049
+0.0635861
+0.0620911
+0.0605661
+0.0590558
+0.0575688
+0.056128
+0.0547107
+0.0533113
+0.0519666
+0.0506318
+0.0493512
+0.0481043
+0.0467974
+0.045482
+0.0442355
+0.0430644
+0.0418685
+0.0406827
+0.0395688
+0.0385378
+0.0375079
+0.0365075
+0.0355387
+0.034638
+0.0338098
+0.0329462
+0.0320841
+0.0312514
+0.0304493
+0.029778
+0.0291547
+0.0285565
+0.0278968
+0.0273162
+0.0267727
+0.0262689
+0.0258758
+0.0256116
+0.0255334
+0.0255456
+0.0255846
+0.0256422
+0.0257872
+0.0260983
+0.0265449
+0.027127
+0.0278431
+0.0286947
+0.0295676
+0.0304299
+0.0313905
+0.032431
+0.033562
+0.0347134
+0.0359536
+0.0372814
+0.037695
+0.0359577
+0.0342725
+0.0326472
+0.0310915
+0.0296162
+0.0282339
+0.02694
+0.0257598
+0.0247178
+0.023787
+0.0230247
+0.0224511
+0.0220808
+0.0219242
+0.0219677
+0.0222043
+0.0225771
+0.0230973
+0.0237371
+0.0245563
+0.0253814
+0.0262312
+0.0271897
+0.0282749
+0.0294619
+0.0307363
+0.0321098
+0.0335654
+0.0348896
+0.0362726
+0.0377158
+0.0391756
+0.040694
+0.0422657
+0.0438579
+0.0455
+0.0471644
+0.048848
+0.0505304
+0.0522504
+0.0664984
+0.0650076
+0.0635089
+0.0620174
+0.0605584
+0.0590738
+0.0575522
+0.0560465
+0.0545655
+0.0531335
+0.0517205
+0.0503332
+0.0490047
+0.0476843
+0.0464212
+0.0451833
+0.0438736
+0.04258
+0.041362
+0.0402266
+0.0390333
+0.0378853
+0.0368089
+0.0358325
+0.03481
+0.0338538
+0.0329265
+0.0320737
+0.0313075
+0.0304682
+0.0296503
+0.0288794
+0.0281686
+0.0275817
+0.0269572
+0.0263358
+0.0257773
+0.0252573
+0.0247482
+0.0243396
+0.0240674
+0.0239841
+0.024003
+0.0239688
+0.0240213
+0.0242182
+0.0245745
+0.0250832
+0.0257057
+0.0264952
+0.0274066
+0.0284275
+0.0294007
+0.030408
+0.0314941
+0.0326588
+0.0338423
+0.0351133
+0.0364717
+0.036844
+0.0350646
+0.0333342
+0.0316608
+0.0300541
+0.0285252
+0.0270873
+0.0257358
+0.0244976
+0.0233995
+0.0224593
+0.0216869
+0.0210769
+0.020682
+0.02051
+0.0205266
+0.020734
+0.0211256
+0.0216532
+0.0223343
+0.0230423
+0.0237625
+0.0246308
+0.0256248
+0.0267497
+0.0279762
+0.0293153
+0.0307473
+0.0320528
+0.0334095
+0.0348512
+0.0362894
+0.0377967
+0.0393684
+0.0409678
+0.0426085
+0.0442707
+0.0459485
+0.0476325
+0.0493563
+0.0511093
+0.0649786
+0.0634614
+0.0619749
+0.0604824
+0.0589906
+0.0575382
+0.0560653
+0.0545478
+0.0530474
+0.0515733
+0.0501516
+0.0487423
+0.0473691
+0.0460593
+0.0447571
+0.0435138
+0.0422872
+0.0409747
+0.0397076
+0.0385234
+0.0374301
+0.0362413
+0.0351317
+0.0341072
+0.033144
+0.0321666
+0.0312647
+0.0303965
+0.0296117
+0.0288782
+0.0281087
+0.02733
+0.0266271
+0.0260093
+0.0254335
+0.0248685
+0.0243034
+0.0238288
+0.0233343
+0.0228851
+0.0226271
+0.0225405
+0.0225654
+0.022408
+0.0224641
+0.0226599
+0.0230141
+0.0235554
+0.0242172
+0.0250375
+0.025986
+0.027076
+0.0282747
+0.0295546
+0.0306579
+0.0318536
+0.0330935
+0.0343922
+0.0357779
+0.0360877
+0.0342835
+0.0325166
+0.0307989
+0.0291447
+0.0275654
+0.0260746
+0.0246677
+0.023373
+0.0222193
+0.0212297
+0.020422
+0.0197874
+0.0193663
+0.0191866
+0.0191704
+0.0193807
+0.0197704
+0.0203035
+0.0208651
+0.0214294
+0.0221736
+0.0230771
+0.0241306
+0.0252945
+0.0265882
+0.0279885
+0.0292671
+0.0305905
+0.0320088
+0.0334411
+0.034934
+0.0364974
+0.0381059
+0.0397483
+0.0414064
+0.0430767
+0.0447615
+0.0464861
+0.0482409
+0.0500228
+0.0634927
+0.0619446
+0.0604305
+0.058949
+0.0574635
+0.0559715
+0.0545267
+0.0530672
+0.0515545
+0.0500603
+0.0485944
+0.0471847
+0.0457781
+0.0444213
+0.0431332
+0.0418544
+0.0406345
+0.0394183
+0.0381073
+0.0368718
+0.035728
+0.0346575
+0.033503
+0.0324382
+0.0314786
+0.0305321
+0.0296096
+0.0287528
+0.0279471
+0.0272405
+0.0265843
+0.0258571
+0.0251778
+0.0245277
+0.0240132
+0.0234785
+0.0229171
+0.0224731
+0.0220365
+0.0215555
+0.0212813
+0.0211906
+0.0211218
+0.0209591
+0.0209963
+0.021186
+0.0215636
+0.0221108
+0.0228148
+0.023672
+0.0246723
+0.0257975
+0.0270252
+0.0283621
+0.0298003
+0.0311812
+0.0324755
+0.0337979
+0.0352071
+0.0354433
+0.0336045
+0.0318103
+0.0300687
+0.0283756
+0.0267509
+0.025212
+0.0237541
+0.0224067
+0.0212005
+0.0201609
+0.0193148
+0.0186361
+0.0181883
+0.0179681
+0.017952
+0.0181653
+0.0185482
+0.0189144
+0.0193068
+0.0198898
+0.0206677
+0.0216138
+0.0227065
+0.0239377
+0.0252876
+0.0265507
+0.0278309
+0.0292181
+0.0306413
+0.032115
+0.0336668
+0.0352757
+0.0369225
+0.0385784
+0.0402368
+0.0419215
+0.04364
+0.0453992
+0.0471729
+0.0489498
+0.0620394
+0.0604628
+0.0589172
+0.0574068
+0.0559311
+0.0544479
+0.0529615
+0.0515255
+0.0500812
+0.0485743
+0.0470876
+0.0456314
+0.0442308
+0.0428329
+0.0414955
+0.0402329
+0.0389803
+0.0377716
+0.0365632
+0.0352789
+0.0340816
+0.0329866
+0.0319338
+0.0308326
+0.0298234
+0.028938
+0.0280012
+0.0271414
+0.0263518
+0.0256305
+0.0249433
+0.024236
+0.023643
+0.0230761
+0.0226236
+0.0221314
+0.0215674
+0.0210441
+0.0207032
+0.0203751
+0.0200849
+0.0199887
+0.0196814
+0.0195482
+0.0195992
+0.0198441
+0.0202418
+0.0207777
+0.0214903
+0.0223773
+0.0234076
+0.0245647
+0.0258433
+0.0272383
+0.0287327
+0.0303058
+0.0319497
+0.0333373
+0.0347603
+0.0349246
+0.033057
+0.0312314
+0.0294555
+0.027737
+0.0260726
+0.0244911
+0.0230095
+0.0216199
+0.0203672
+0.0192827
+0.0183962
+0.0176823
+0.0171988
+0.0169426
+0.0169166
+0.0171447
+0.0172391
+0.017417
+0.0178458
+0.0184358
+0.0192427
+0.0202221
+0.0213746
+0.0226769
+0.0239273
+0.0251502
+0.0264955
+0.0279047
+0.0293523
+0.0308875
+0.0324944
+0.0341347
+0.0357872
+0.0374276
+0.0391107
+0.0408299
+0.0425925
+0.0443562
+0.0461376
+0.0479106
+0.0606125
+0.0590113
+0.0574363
+0.0558949
+0.0543893
+0.0529224
+0.0514421
+0.0499623
+0.0485364
+0.0471097
+0.0456099
+0.0441322
+0.0426876
+0.0412914
+0.0399108
+0.0385965
+0.0373644
+0.0361386
+0.0349483
+0.0337509
+0.0324997
+0.0313494
+0.0303141
+0.0292845
+0.0282412
+0.0273099
+0.0264688
+0.0255575
+0.0247955
+0.0240686
+0.0233065
+0.0226154
+0.022006
+0.0214939
+0.0210652
+0.0206282
+0.0200907
+0.0195155
+0.0191473
+0.0190085
+0.0189365
+0.0187587
+0.0183898
+0.0182471
+0.0183109
+0.0185873
+0.0189833
+0.019513
+0.0202633
+0.0211712
+0.0222257
+0.0234272
+0.0247646
+0.0262171
+0.0277665
+0.0293802
+0.0310597
+0.0327996
+0.0344252
+0.0345374
+0.0326476
+0.0307977
+0.0289953
+0.0272478
+0.0255516
+0.0239357
+0.0224176
+0.0210164
+0.0197426
+0.0186221
+0.0177025
+0.0169343
+0.0164114
+0.016133
+0.0159844
+0.0156876
+0.0156704
+0.0159048
+0.0163986
+0.0170809
+0.0179189
+0.0189109
+0.020084
+0.0213686
+0.0225615
+0.0238545
+0.0252504
+0.0266634
+0.0281748
+0.0297708
+0.0314052
+0.0330354
+0.0346676
+0.0363465
+0.0380646
+0.0398267
+0.0415797
+0.0433644
+0.0451316
+0.0469214
+0.0592289
+0.0575927
+0.0559908
+0.0544166
+0.0528784
+0.0513778
+0.0499246
+0.0484478
+0.046976
+0.045562
+0.0441509
+0.0426644
+0.0411978
+0.0397672
+0.038377
+0.0370173
+0.0357309
+0.0345356
+0.0333423
+0.0321757
+0.0309916
+0.0297835
+0.0286917
+0.0277302
+0.0267319
+0.0257597
+0.0249023
+0.0240689
+0.023214
+0.0224486
+0.0217332
+0.0210257
+0.0204644
+0.0199892
+0.0195485
+0.0190254
+0.0186142
+0.0181023
+0.0177048
+0.0175707
+0.0176595
+0.0176307
+0.0172288
+0.0170764
+0.0171963
+0.017492
+0.0178447
+0.0183759
+0.0191207
+0.0200703
+0.0211756
+0.0224402
+0.0238357
+0.025337
+0.0269124
+0.0285691
+0.0302936
+0.0320529
+0.0338483
+0.034286
+0.0323816
+0.0305155
+0.0286955
+0.0269285
+0.0252107
+0.0235715
+0.0220284
+0.0206007
+0.0193028
+0.018177
+0.0172118
+0.0164156
+0.0157096
+0.0148798
+0.0143104
+0.0140085
+0.013995
+0.0142605
+0.0148062
+0.0155332
+0.0164883
+0.0175475
+0.0187626
+0.0200922
+0.0213101
+0.0226746
+0.0240716
+0.0255499
+0.0271231
+0.0287505
+0.0303505
+0.0319696
+0.0336407
+0.0353544
+0.0370992
+0.0388517
+0.0406278
+0.0423923
+0.0441777
+0.0459232
+0.057833
+0.0562127
+0.0545816
+0.0529794
+0.0514063
+0.049872
+0.0483773
+0.0469373
+0.0454666
+0.0440051
+0.0426051
+0.0412058
+0.0397422
+0.0382846
+0.0368759
+0.0354937
+0.0341598
+0.0329075
+0.0317427
+0.030584
+0.0294338
+0.0283005
+0.0271491
+0.0261309
+0.0252622
+0.0243059
+0.0233728
+0.0224489
+0.0216172
+0.0208411
+0.0201637
+0.0194986
+0.0189779
+0.0184748
+0.0180962
+0.0174396
+0.0170081
+0.0168168
+0.0164285
+0.0162868
+0.0163874
+0.0164281
+0.0160874
+0.0159653
+0.0161016
+0.0165297
+0.0168261
+0.0173706
+0.0181499
+0.0191157
+0.0202672
+0.0215349
+0.0229282
+0.0244137
+0.0259992
+0.0276673
+0.0293842
+0.0311486
+0.0329642
+0.0341735
+0.0322624
+0.0303891
+0.0285609
+0.0267851
+0.0250575
+0.0234076
+0.0218529
+0.0204129
+0.0191022
+0.0179537
+0.0165523
+0.0153156
+0.0142324
+0.0133365
+0.012727
+0.0124065
+0.0124323
+0.0127532
+0.0133565
+0.0141496
+0.0151883
+0.0163147
+0.0175806
+0.0189313
+0.020219
+0.0216068
+0.0230413
+0.0245746
+0.0261808
+0.0277517
+0.0293508
+0.0310083
+0.0327133
+0.0344345
+0.0361788
+0.0379366
+0.0396999
+0.0414514
+0.0431959
+0.0449682
+0.0564692
+0.0548169
+0.0531994
+0.0515808
+0.0499785
+0.0484071
+0.0468775
+0.0453899
+0.0439613
+0.0425008
+0.0410531
+0.0396699
+0.0382848
+0.0368487
+0.0353941
+0.0340145
+0.0326494
+0.0313452
+0.0301342
+0.0289956
+0.0278949
+0.0267589
+0.0256773
+0.0245981
+0.0236446
+0.0226749
+0.0217435
+0.0208495
+0.0200302
+0.0193177
+0.0185958
+0.017979
+0.0174568
+0.0170655
+0.0165628
+0.0159839
+0.0155119
+0.0153166
+0.0152458
+0.0150079
+0.0149942
+0.0149821
+0.0149505
+0.0149836
+0.0151525
+0.0154029
+0.0157229
+0.0162804
+0.0170547
+0.0180473
+0.0191848
+0.020481
+0.0219136
+0.0234634
+0.0250707
+0.0267609
+0.0285192
+0.030323
+0.0321416
+0.0339963
+0.0321133
+0.0301836
+0.028292
+0.0264467
+0.0246578
+0.0228985
+0.0211889
+0.0195609
+0.0180084
+0.0165325
+0.0151188
+0.0138257
+0.0127141
+0.0118651
+0.0112596
+0.0109421
+0.0110001
+0.0113827
+0.0121016
+0.0129569
+0.0139504
+0.015144
+0.0165039
+0.0179339
+0.0192827
+0.020686
+0.0221572
+0.02373
+0.0252658
+0.0268342
+0.0284698
+0.0301484
+0.0318406
+0.0335705
+0.0352821
+0.0369782
+0.038711
+0.0404223
+0.0421376
+0.0438755
+0.0551128
+0.0534657
+0.0518095
+0.0501928
+0.0485922
+0.0469903
+0.0454211
+0.0438973
+0.0424184
+0.0410019
+0.0395543
+0.0381242
+0.0367613
+0.0353941
+0.0339812
+0.0325418
+0.03119
+0.0298488
+0.0285815
+0.0274236
+0.0263265
+0.0252722
+0.0241834
+0.0230932
+0.0220255
+0.0210332
+0.0201317
+0.0192818
+0.0184764
+0.0177364
+0.0171517
+0.0165082
+0.0160554
+0.0156606
+0.0151083
+0.0145312
+0.0141846
+0.0139977
+0.0136951
+0.0134898
+0.0135494
+0.0135409
+0.0135419
+0.0138318
+0.0143205
+0.0142909
+0.0145289
+0.0150847
+0.015925
+0.0169503
+0.0181341
+0.0194741
+0.0209313
+0.0225021
+0.0241436
+0.0258664
+0.0276555
+0.0294684
+0.0313282
+0.0331358
+0.0311751
+0.0292167
+0.0272581
+0.0253376
+0.0234643
+0.0216508
+0.0199061
+0.0181935
+0.016561
+0.0150698
+0.0136434
+0.0123655
+0.0112314
+0.0103337
+0.00973737
+0.00955215
+0.00970917
+0.0101948
+0.0109961
+0.0118544
+0.0128695
+0.014142
+0.0155917
+0.0170963
+0.0184622
+0.019923
+0.0212679
+0.0226899
+0.0242126
+0.0258237
+0.0275151
+0.0292727
+0.0309021
+0.0325551
+0.034246
+0.035936
+0.0376346
+0.0393421
+0.0410762
+0.0428297
+0.0536225
+0.0520985
+0.050473
+0.0488136
+0.0471972
+0.045613
+0.0440172
+0.0424512
+0.0409347
+0.0394664
+0.0380646
+0.0366327
+0.0352242
+0.0338864
+0.0325415
+0.0311536
+0.0297388
+0.0284225
+0.027113
+0.0258937
+0.0248005
+0.0237596
+0.0226896
+0.0215305
+0.0204469
+0.0194323
+0.0185316
+0.0176536
+0.0168523
+0.0161872
+0.015601
+0.0151719
+0.0147737
+0.0141148
+0.0135831
+0.0131587
+0.0128621
+0.0124973
+0.0121607
+0.012015
+0.0121619
+0.0122416
+0.0122427
+0.0125991
+0.0130134
+0.0131092
+0.0133238
+0.0138557
+0.0146395
+0.0156891
+0.0169581
+0.0183745
+0.0199066
+0.0215255
+0.0232183
+0.0249875
+0.0267962
+0.0286565
+0.0305606
+0.032266
+0.0302489
+0.0282576
+0.0262981
+0.0243753
+0.0224219
+0.0205164
+0.0186736
+0.0169139
+0.0152298
+0.0136027
+0.0121412
+0.0108641
+0.00971549
+0.00890579
+0.00833518
+0.00817705
+0.00844425
+0.0091065
+0.0101037
+0.0109669
+0.0120539
+0.0134133
+0.0149177
+0.0162634
+0.0174899
+0.0187072
+0.0200716
+0.0215727
+0.0231689
+0.0248478
+0.0264347
+0.0280558
+0.02975
+0.0315055
+0.0331808
+0.0348466
+0.0365609
+0.0382816
+0.0400483
+0.041769
+0.0521398
+0.0506074
+0.0490946
+0.0474778
+0.0458312
+0.0442147
+0.0426347
+0.0410626
+0.039501
+0.0379937
+0.0365385
+0.0351549
+0.0337426
+0.0323611
+0.0310544
+0.029738
+0.0283826
+0.0270003
+0.0257263
+0.0244631
+0.023308
+0.0222906
+0.0211033
+0.0200023
+0.0188831
+0.0178782
+0.0169663
+0.0160806
+0.0153129
+0.0146687
+0.0141581
+0.0136916
+0.0131999
+0.0125384
+0.012069
+0.0117961
+0.0113671
+0.0109265
+0.0106733
+0.0106326
+0.0108628
+0.01088
+0.0110505
+0.0115875
+0.0117103
+0.0117699
+0.0119806
+0.0125577
+0.0134178
+0.0145098
+0.0158182
+0.0173049
+0.0188808
+0.0205695
+0.0223456
+0.0241601
+0.0259887
+0.0278613
+0.0297672
+0.0314928
+0.0294543
+0.027408
+0.025383
+0.0233879
+0.0214311
+0.0195239
+0.01762
+0.015743
+0.0139578
+0.0122791
+0.0107198
+0.00932243
+0.00820632
+0.00733681
+0.00692927
+0.00697272
+0.00733825
+0.00818884
+0.00922945
+0.010102
+0.0112727
+0.0126866
+0.0141537
+0.015229
+0.0163278
+0.0176098
+0.019053
+0.0206283
+0.0221503
+0.0236596
+0.0252689
+0.0269602
+0.0287191
+0.0304579
+0.0321155
+0.0337991
+0.0355186
+0.0372391
+0.0389578
+0.0407218
+0.050705
+0.0491314
+0.047603
+0.0460982
+0.0444856
+0.0428652
+0.0412488
+0.0396747
+0.0381309
+0.0365753
+0.0350797
+0.0336412
+0.0322803
+0.0308928
+0.0295451
+0.0282783
+0.0269909
+0.0256693
+0.0243326
+0.0231238
+0.0219291
+0.0208454
+0.019575
+0.0184303
+0.0173528
+0.0163516
+0.0154218
+0.0145598
+0.0138287
+0.013258
+0.0127503
+0.0123101
+0.0115488
+0.0110767
+0.0106538
+0.0104117
+0.00983889
+0.00934505
+0.00921481
+0.00937608
+0.00966474
+0.00958882
+0.00988503
+0.0102608
+0.0104078
+0.0106438
+0.0108061
+0.0113635
+0.0122554
+0.0134268
+0.0148222
+0.0163608
+0.0179915
+0.0196621
+0.0214267
+0.0232639
+0.0251544
+0.0270681
+0.0290117
+0.0307734
+0.0286968
+0.0266386
+0.024589
+0.0225648
+0.0205328
+0.0185334
+0.0165825
+0.0146993
+0.0128898
+0.0110795
+0.00939263
+0.00790337
+0.0066729
+0.00584076
+0.00550072
+0.0056685
+0.00634678
+0.00745358
+0.00852742
+0.00923275
+0.0103233
+0.0115809
+0.0128337
+0.0140024
+0.0153639
+0.0167287
+0.0181787
+0.0195043
+0.0209752
+0.0225633
+0.0242454
+0.0259314
+0.0276517
+0.0294339
+0.0311008
+0.0328152
+0.0344761
+0.0361934
+0.0379594
+0.0397543
+0.0492608
+0.0477045
+0.0461349
+0.0446114
+0.0431137
+0.0415088
+0.0399193
+0.0383039
+0.0367376
+0.0352258
+0.0336804
+0.0322002
+0.030783
+0.0294511
+0.0280957
+0.0267897
+0.0255656
+0.024309
+0.0230318
+0.0217624
+0.0205115
+0.0192646
+0.018134
+0.0169236
+0.015855
+0.0148599
+0.0139108
+0.0130809
+0.0124509
+0.0119302
+0.0113915
+0.0107042
+0.0100284
+0.0095611
+0.00936323
+0.00882569
+0.00821892
+0.00787708
+0.00786264
+0.008033
+0.00828415
+0.00830251
+0.00872716
+0.00893457
+0.0091245
+0.00957375
+0.00978672
+0.0104096
+0.0113507
+0.0125012
+0.0138654
+0.0154104
+0.0170526
+0.0188015
+0.0205938
+0.0224568
+0.0243745
+0.0263347
+0.0283096
+0.0300073
+0.0279884
+0.0259635
+0.0238707
+0.0217971
+0.0197401
+0.0177037
+0.0157089
+0.0137103
+0.0117754
+0.00994486
+0.00822523
+0.00664886
+0.00528426
+0.00443158
+0.00411682
+0.00451375
+0.00545616
+0.00659509
+0.00734481
+0.00799347
+0.00905395
+0.0104303
+0.0115257
+0.0127174
+0.0141112
+0.0155705
+0.0170115
+0.0184205
+0.0199607
+0.0215256
+0.0231802
+0.024905
+0.0266334
+0.0282988
+0.0300136
+0.0317749
+0.0334874
+0.0352434
+0.0370036
+0.0387218
+0.0478283
+0.0462566
+0.0447173
+0.0431528
+0.0416354
+0.0401465
+0.0385512
+0.0369927
+0.0353852
+0.0338291
+0.0323298
+0.030825
+0.0293651
+0.0279759
+0.0266816
+0.0253686
+0.0241151
+0.0229395
+0.0216561
+0.0203569
+0.0190908
+0.0177709
+0.0166087
+0.0155157
+0.0143942
+0.0134341
+0.0125127
+0.0116553
+0.0110726
+0.0104895
+0.0100071
+0.00918736
+0.00850216
+0.00817355
+0.00805954
+0.00728766
+0.0066812
+0.00647049
+0.00653168
+0.00679278
+0.00702787
+0.0071702
+0.00758564
+0.00758945
+0.00785218
+0.00837221
+0.00864767
+0.0092557
+0.0102566
+0.011499
+0.0129108
+0.014503
+0.016183
+0.0179716
+0.0198025
+0.0216986
+0.0236457
+0.0255771
+0.0275323
+0.0292412
+0.0271822
+0.0251273
+0.0230973
+0.0210996
+0.0190673
+0.0169865
+0.0149232
+0.012871
+0.0108724
+0.00896398
+0.00709443
+0.00540451
+0.00405355
+0.00308426
+0.00273945
+0.00337796
+0.0044818
+0.00535914
+0.00622191
+0.00689701
+0.00795436
+0.00921062
+0.010216
+0.0114467
+0.0128516
+0.0143767
+0.0159067
+0.0173688
+0.0188791
+0.0205102
+0.0221493
+0.0238032
+0.0254438
+0.0271622
+0.0288911
+0.0306433
+0.0324488
+0.0342449
+0.0359615
+0.0377109
+0.0464542
+0.0448347
+0.0432628
+0.0417421
+0.0401882
+0.0386786
+0.0372006
+0.0356175
+0.0340657
+0.0324996
+0.0309501
+0.0294671
+0.0280212
+0.0265889
+0.025237
+0.023989
+0.0227368
+0.0215456
+0.020202
+0.0188766
+0.0176447
+0.0164055
+0.0151684
+0.0141276
+0.013019
+0.0120106
+0.0111068
+0.0103822
+0.00977659
+0.00913508
+0.00835575
+0.00762071
+0.0071591
+0.00688048
+0.00640507
+0.00568023
+0.00516853
+0.00503385
+0.00519367
+0.00572057
+0.00566623
+0.005934
+0.00626771
+0.00636922
+0.00658261
+0.00717393
+0.00764295
+0.00819558
+0.00916191
+0.0104145
+0.0118671
+0.0135172
+0.0153026
+0.0171311
+0.0189675
+0.0208532
+0.0227925
+0.0247485
+0.0267227
+0.0284434
+0.0263868
+0.0243536
+0.0223296
+0.0202562
+0.0182104
+0.0162024
+0.0142484
+0.0121686
+0.0101232
+0.00811359
+0.00613313
+0.00431584
+0.00282677
+0.00180456
+0.00171792
+0.00267081
+0.00319964
+0.00421392
+0.00494657
+0.00563486
+0.0068315
+0.00788746
+0.00896164
+0.010184
+0.01158
+0.0130766
+0.0146565
+0.0163151
+0.017875
+0.0194187
+0.0210212
+0.0226529
+0.0243341
+0.0260243
+0.0277846
+0.0295502
+0.0313418
+0.0331656
+0.03498
+0.0367502
+0.0451319
+0.0434763
+0.0418532
+0.0402794
+0.0387655
+0.0372453
+0.0357457
+0.034269
+0.0327141
+0.0311717
+0.0296556
+0.0281061
+0.026645
+0.0252863
+0.0238723
+0.0225707
+0.0213775
+0.0201819
+0.0188281
+0.0174484
+0.016208
+0.0150022
+0.0138384
+0.0127484
+0.0116503
+0.0105937
+0.00972
+0.00907881
+0.00838214
+0.0076077
+0.00662512
+0.00595406
+0.00566743
+0.00553736
+0.00474785
+0.00408137
+0.00364082
+0.00364582
+0.00401845
+0.00455923
+0.00441105
+0.00490211
+0.0049819
+0.00515015
+0.00541602
+0.00606114
+0.00658751
+0.00715345
+0.00808521
+0.00938108
+0.0109199
+0.0126195
+0.0143713
+0.0162195
+0.0180914
+0.0200104
+0.0219731
+0.0239564
+0.0259652
+0.0277188
+0.0256875
+0.0235941
+0.02152
+0.0194715
+0.0174576
+0.0154026
+0.0133319
+0.0113065
+0.00935575
+0.00741423
+0.00534514
+0.00342393
+0.00170022
+0.00059634
+0.0010092
+0.00144859
+0.00211555
+0.0029788
+0.00372064
+0.00444806
+0.00566505
+0.00664542
+0.0077195
+0.00891789
+0.0102992
+0.0118327
+0.013458
+0.0151613
+0.0167932
+0.0183135
+0.0199198
+0.0215292
+0.023217
+0.0249111
+0.0266624
+0.0284604
+0.0302547
+0.0320377
+0.0338615
+0.0356733
+0.0437828
+0.042149
+0.0405076
+0.0388851
+0.0373146
+0.0358095
+0.0343283
+0.0328091
+0.0313412
+0.0298499
+0.0283099
+0.0268541
+0.0253218
+0.0238913
+0.022583
+0.0212497
+0.020014
+0.0187398
+0.0173906
+0.0161221
+0.0148308
+0.0135589
+0.0123838
+0.0112791
+0.0102333
+0.00921674
+0.00841965
+0.00775555
+0.00704952
+0.00598685
+0.00502646
+0.00446956
+0.00424853
+0.00384294
+0.00305859
+0.0025019
+0.00215994
+0.00228234
+0.0029622
+0.00332463
+0.00336253
+0.00375623
+0.00368077
+0.0039606
+0.00431003
+0.00496016
+0.00544223
+0.00596615
+0.00703486
+0.00836865
+0.00992946
+0.0116876
+0.013477
+0.0153482
+0.0172697
+0.0192233
+0.021216
+0.0232052
+0.0251372
+0.0266844
+0.0247548
+0.0228371
+0.0208876
+0.0187702
+0.0166718
+0.0146005
+0.0125697
+0.0105575
+0.00847646
+0.00641441
+0.00446539
+0.0025439
+0.000543336
+-0.000604306
+0.00019071
+0.000302549
+0.000830044
+0.00174081
+0.00249255
+0.00325088
+0.00453015
+0.00542167
+0.0064266
+0.00767173
+0.00905925
+0.0106069
+0.012269
+0.0140385
+0.0157404
+0.0172061
+0.0187972
+0.0203938
+0.0220688
+0.0238271
+0.0255802
+0.0273169
+0.029104
+0.0309215
+0.0327282
+0.034578
+0.0424609
+0.0408001
+0.0391821
+0.0375547
+0.0359388
+0.0343735
+0.0328796
+0.0314052
+0.029898
+0.0284496
+0.0270248
+0.0254957
+0.0240692
+0.0226192
+0.0212327
+0.0199906
+0.0187608
+0.0173653
+0.0159701
+0.0147145
+0.0134855
+0.0121539
+0.0109281
+0.00978289
+0.00879724
+0.00784517
+0.00707366
+0.006435
+0.00580196
+0.00448722
+0.00350783
+0.00298565
+0.00307038
+0.00214251
+0.00138484
+0.000942055
+0.000730142
+0.00120828
+0.00200932
+0.00189716
+0.00222366
+0.00247839
+0.00239509
+0.00276218
+0.00319853
+0.00399354
+0.00457356
+0.00496135
+0.00596314
+0.00738841
+0.00908005
+0.0107834
+0.012602
+0.0145121
+0.0164921
+0.0183648
+0.0202847
+0.0222547
+0.0242625
+0.0255051
+0.0236578
+0.0217987
+0.0198694
+0.0179645
+0.0160853
+0.0139983
+0.011865
+0.00975701
+0.00769542
+0.00572396
+0.00364063
+0.00154522
+-0.000393081
+-0.00122461
+-0.000975648
+-0.000961356
+-0.000312043
+0.000551666
+0.00129999
+0.00211357
+0.0034458
+0.00416777
+0.0052021
+0.00643592
+0.00782884
+0.00944731
+0.0111166
+0.0128264
+0.0145893
+0.0160843
+0.0176399
+0.0193053
+0.0209924
+0.0226705
+0.0244022
+0.0262011
+0.027982
+0.0298126
+0.0316826
+0.033587
+0.0411935
+0.0394947
+0.037836
+0.0362248
+0.0346272
+0.0330205
+0.0314624
+0.0299835
+0.028519
+0.027024
+0.0256036
+0.0242501
+0.0227537
+0.0212833
+0.0198972
+0.0185048
+0.0170902
+0.0157875
+0.0144902
+0.0133242
+0.0119826
+0.0106631
+0.00945147
+0.00834453
+0.00731815
+0.00644601
+0.00579992
+0.00511101
+0.00413682
+0.00317222
+0.0022144
+0.00179802
+0.00139537
+0.000439956
+-0.00027624
+-0.00052179
+-0.00060048
+0.000146231
+0.000875437
+0.000465161
+0.00137603
+0.00123541
+0.00122269
+0.00160899
+0.00216376
+0.00310534
+0.00365631
+0.00397772
+0.00507563
+0.00648228
+0.00812365
+0.00997459
+0.0117524
+0.0135663
+0.0154613
+0.0174257
+0.0194385
+0.0213621
+0.0232693
+0.024452
+0.0225184
+0.0206362
+0.0188209
+0.0169205
+0.0149926
+0.0131112
+0.0112617
+0.009255
+0.00716136
+0.00500515
+0.00288892
+0.000856568
+-0.001151
+-0.00192105
+-0.000484851
+6.18319e-05
+-0.000225274
+-0.000545088
+0.000207629
+0.000956452
+0.00236603
+0.00296637
+0.00393393
+0.00516076
+0.00660809
+0.00824704
+0.00992372
+0.0115934
+0.0133677
+0.0150083
+0.016579
+0.0181505
+0.0197962
+0.0215341
+0.0232892
+0.0250802
+0.0269303
+0.0288156
+0.0306892
+0.0326023
+0.0398833
+0.0382412
+0.0365503
+0.0348952
+0.0332858
+0.0317197
+0.0301346
+0.0285907
+0.0271322
+0.0256823
+0.0241892
+0.0228024
+0.0212992
+0.019803
+0.0183567
+0.0169915
+0.0154936
+0.0141133
+0.0128722
+0.0116446
+0.0104216
+0.0091665
+0.00795633
+0.00688467
+0.00583828
+0.00504554
+0.00435668
+0.00382777
+0.00256587
+0.00169419
+0.00141148
+0.000805384
+-0.00024987
+-0.00125062
+-0.0009217
+-0.000721794
+-0.000819821
+-0.000644075
+-0.000516552
+-0.000787641
+0.000473883
+9.48736e-05
+0.00015876
+0.000538679
+0.00129877
+0.0021668
+0.00289608
+0.00313524
+0.00421895
+0.00574005
+0.00718898
+0.00887179
+0.0107062
+0.0126503
+0.0146641
+0.0165579
+0.0184415
+0.0203866
+0.0223771
+0.0233288
+0.0214586
+0.0195663
+0.0176413
+0.0157856
+0.0139412
+0.0120586
+0.0101369
+0.00831133
+0.00642775
+0.00449066
+0.0024026
+0.000336555
+-0.00152261
+-0.00156135
+0.00050219
+0.00141721
+0.000390306
+-0.00161882
+-0.000811148
+7.50004e-05
+0.0012557
+0.00176002
+0.00262462
+0.00387847
+0.005365
+0.0070155
+0.00866091
+0.010384
+0.0121963
+0.0138488
+0.0153535
+0.0169917
+0.0187023
+0.0204257
+0.0222314
+0.0240953
+0.0259399
+0.0278346
+0.0297668
+0.0317215
+0.0385808
+0.0368993
+0.0352462
+0.0336336
+0.0319822
+0.0303785
+0.0288281
+0.0272753
+0.0257529
+0.0243326
+0.0228918
+0.0214253
+0.0198468
+0.0183499
+0.0168459
+0.0154096
+0.0139839
+0.0125237
+0.0111932
+0.0100062
+0.00878884
+0.00760422
+0.00643169
+0.00540542
+0.00440443
+0.00362474
+0.00295415
+0.00220416
+0.00100844
+0.000435283
+0.000196962
+-0.000840307
+-0.000400147
+0.000302545
+0.00055822
+0.000553015
+0.000327291
+-0.000172892
+-0.00205388
+-0.00136048
+-0.000603675
+-0.00047979
+-0.000819445
+-0.000375889
+0.000403988
+0.0011256
+0.00195065
+0.00235802
+0.00325738
+0.004459
+0.00610642
+0.00801825
+0.00994962
+0.0118313
+0.0136641
+0.0155896
+0.0175647
+0.0194545
+0.0214009
+0.0222802
+0.0203436
+0.018448
+0.016606
+0.0146891
+0.0127805
+0.0109776
+0.00907254
+0.00724647
+0.0053595
+0.00363909
+0.00168525
+8.97678e-05
+-0.00126236
+-0.000728095
+0.00121298
+0.00272183
+0.000550462
+-0.00160411
+-0.00186752
+-0.00101141
+0.000213402
+0.000559945
+0.00130316
+0.0025933
+0.00416443
+0.00572997
+0.00744399
+0.00919271
+0.0109596
+0.012697
+0.0142704
+0.015892
+0.0176117
+0.019417
+0.0212387
+0.0231216
+0.0250306
+0.0269726
+0.0289501
+0.0309564
+0.0373425
+0.0356131
+0.033922
+0.0322679
+0.0306644
+0.0290991
+0.0275128
+0.0259841
+0.0244389
+0.0228703
+0.0213816
+0.019953
+0.0184306
+0.0168565
+0.0153896
+0.0138755
+0.0124804
+0.01102
+0.00963338
+0.00839834
+0.00720021
+0.00596792
+0.00487486
+0.00393434
+0.00298217
+0.00213198
+0.00158473
+0.000665063
+-0.000681009
+-0.000720018
+-0.0013888
+-0.0001746
+0.00113091
+0.00165795
+0.00181859
+0.00169838
+0.00136382
+-0.000703359
+-0.00249161
+-0.000610912
+0.000594782
+0.000507387
+0.000161076
+-0.000639335
+-0.000517258
+0.000116506
+0.000883571
+0.00120858
+0.00211327
+0.00375725
+0.00533934
+0.00721925
+0.0090041
+0.0108835
+0.0127556
+0.0146186
+0.0165538
+0.018546
+0.0205785
+0.0213157
+0.0193811
+0.0173976
+0.0154702
+0.0135798
+0.0117915
+0.00983321
+0.00796606
+0.00616323
+0.00425773
+0.00258614
+0.00107562
+-0.00035589
+-0.00134047
+-0.000236944
+0.00173782
+0.00290311
+0.000821129
+-0.00108503
+-0.00217747
+-0.00133263
+-0.000678632
+-0.000671574
+3.18857e-06
+0.00133227
+0.00293329
+0.00446338
+0.00622696
+0.00796687
+0.00978133
+0.0115408
+0.01314
+0.0148427
+0.0166223
+0.0184581
+0.0203643
+0.0222886
+0.0242523
+0.0262519
+0.0281735
+0.0301075
+0.0359456
+0.0343199
+0.0326426
+0.0309608
+0.0293068
+0.0277164
+0.0261975
+0.0246256
+0.0230099
+0.0214301
+0.0198664
+0.018396
+0.017011
+0.0154633
+0.0139134
+0.0124216
+0.0109693
+0.00952337
+0.00814607
+0.0068328
+0.00554
+0.00438472
+0.0033329
+0.00248421
+0.00154286
+0.000707942
+0.00017095
+-0.000691719
+-0.000297208
+-0.00183096
+-0.000799289
+0.000950154
+0.00255286
+0.00298289
+0.00299135
+0.00289816
+0.00137637
+-0.000370255
+-0.00123403
+0.00028634
+0.00176969
+0.00150452
+0.000973743
+0.000162449
+-0.000689844
+-0.000848327
+-1.07365e-05
+0.000512457
+0.00144141
+0.00278859
+0.00448818
+0.00630446
+0.00804893
+0.00984476
+0.0117494
+0.0137396
+0.015783
+0.0177503
+0.0197067
+0.0202787
+0.0183665
+0.0164215
+0.0145152
+0.0125275
+0.0105953
+0.00874561
+0.00695494
+0.00500651
+0.00331853
+0.00153962
+0.000108207
+-0.000781824
+-0.000173461
+0.000423552
+0.00160509
+0.0032109
+0.00124025
+-0.000492655
+-0.00157035
+-0.00102929
+0.000476896
+-0.000471886
+-0.00118068
+0.000141996
+0.001615
+0.00324445
+0.00497889
+0.00673549
+0.00854129
+0.0104609
+0.0122049
+0.0139526
+0.0157962
+0.0176925
+0.0196264
+0.0215684
+0.0234332
+0.0253412
+0.0272096
+0.0291177
+0.0345805
+0.0329336
+0.0313058
+0.0296982
+0.0280084
+0.0263769
+0.0248005
+0.0231471
+0.0215731
+0.0199986
+0.0184256
+0.0168963
+0.0154546
+0.0140603
+0.0125217
+0.0110289
+0.00946335
+0.00800418
+0.0066691
+0.00533361
+0.00399946
+0.00280336
+0.00181016
+0.000951903
+3.22716e-06
+-0.000644831
+0.000122634
+0.000782421
+-0.000610722
+-0.00106317
+0.000502637
+0.00225732
+0.00398369
+0.00425179
+0.00399592
+0.00337228
+0.00136029
+-0.000165606
+0.00028974
+0.00179844
+0.00302574
+0.00260024
+0.00190735
+0.00112876
+0.000240878
+-0.00114561
+-0.000887348
+-0.000603059
+0.000629649
+0.00177126
+0.00369211
+0.00525742
+0.00707533
+0.00903282
+0.0110375
+0.0129152
+0.0148733
+0.0168789
+0.0188645
+0.019233
+0.0172849
+0.0154021
+0.0134695
+0.011531
+0.00968065
+0.00769342
+0.00575581
+0.00405262
+0.00230153
+0.000579926
+-0.000485417
+-0.000547426
+0.000410564
+0.00159507
+0.00294143
+0.00363562
+0.00179866
+0.000243339
+-0.000829418
+-0.000684068
+0.000949652
+0.000663103
+-0.000397925
+-0.00111487
+0.000316168
+0.0020262
+0.00373858
+0.00563441
+0.00750141
+0.00944074
+0.0113538
+0.0132246
+0.0151504
+0.0169323
+0.0187461
+0.0206014
+0.0224429
+0.0243298
+0.0262639
+0.0282355
+0.0332422
+0.0315758
+0.0299296
+0.0283088
+0.0267454
+0.0250873
+0.0234424
+0.021761
+0.0201063
+0.0185355
+0.0169692
+0.0154342
+0.013904
+0.0125008
+0.0110787
+0.00957846
+0.00802043
+0.00652225
+0.005184
+0.00383856
+0.0025245
+0.00122523
+0.000187779
+-0.000617705
+5.18552e-05
+0.000736811
+0.00147295
+0.000689338
+-0.000502453
+0.000438865
+0.00196403
+0.00357995
+0.0053149
+0.00547268
+0.00520238
+0.00345546
+0.00176236
+0.000828789
+0.00142847
+0.00295949
+0.00405265
+0.00366076
+0.00284794
+0.00209076
+0.00117823
+-0.000139003
+-0.00166262
+-0.00107702
+-0.000216036
+0.00113765
+0.00275305
+0.00470174
+0.00635578
+0.00813479
+0.0100773
+0.0121034
+0.0140375
+0.0159368
+0.0177379
+0.0183789
+0.0163416
+0.0143354
+0.0123919
+0.0105456
+0.00857443
+0.00665081
+0.00489671
+0.00287701
+0.00111145
+-0.000223703
+-0.00109055
+-0.000330331
+0.000989812
+0.0024587
+0.00376951
+0.00423709
+0.00254787
+0.00118581
+0.000385051
+0.000232928
+0.00128287
+0.00187388
+0.000734992
+-0.000475899
+-0.000916158
+0.000825341
+0.00265497
+0.00455524
+0.00654594
+0.00837189
+0.0103186
+0.0123472
+0.0142013
+0.0159504
+0.0177474
+0.0195967
+0.0215101
+0.0234405
+0.0253311
+0.0272537
+0.0318471
+0.0302027
+0.0285804
+0.0269368
+0.025336
+0.0237814
+0.0221312
+0.0204267
+0.0187309
+0.0170861
+0.0155213
+0.0139364
+0.0123939
+0.0109076
+0.00956802
+0.00806386
+0.00660294
+0.00511993
+0.00370661
+0.00235878
+0.00140418
+5.92529e-05
+-2.71104e-05
+0.000795416
+0.00154352
+0.0021442
+0.00185583
+0.000859696
+0.000918576
+0.00196733
+0.0034081
+0.00503575
+0.00667242
+0.00658579
+0.00537024
+0.00370351
+0.00227123
+0.00181359
+0.00264332
+0.0039357
+0.00511941
+0.00451876
+0.00372966
+0.00291234
+0.0020767
+0.000511843
+-0.00158976
+-0.00162761
+-0.000570332
+0.000848452
+0.0021833
+0.00358677
+0.00543314
+0.00743625
+0.00929334
+0.0111368
+0.0129974
+0.014813
+0.0167187
+0.0176465
+0.0156014
+0.0135128
+0.0114611
+0.00943872
+0.00750599
+0.00571591
+0.0036883
+0.0018106
+0.000492528
+-0.00124754
+-0.00145146
+7.62674e-05
+0.00102919
+0.0023634
+0.00423495
+0.00500321
+0.00351203
+0.00241147
+0.00193066
+0.00189937
+0.00249565
+0.00305777
+0.0019489
+0.000685833
+-0.000824952
+-0.000270826
+0.00162912
+0.00358366
+0.00551486
+0.00750091
+0.00939033
+0.0113874
+0.0131938
+0.0149581
+0.0167829
+0.018656
+0.0205429
+0.02244
+0.0243282
+0.0262635
+0.0305452
+0.028827
+0.0271764
+0.0256071
+0.0239672
+0.0223695
+0.0207385
+0.0190886
+0.0174252
+0.015712
+0.0140998
+0.0125474
+0.0109402
+0.00939073
+0.0079891
+0.00652386
+0.00507114
+0.00372967
+0.00241494
+0.00116767
+0.00102338
+0.000736566
+0.00145475
+0.00233656
+0.00298752
+0.00306047
+0.00208022
+0.00177727
+0.00244809
+0.00351981
+0.00492128
+0.00646883
+0.00795941
+0.00713215
+0.00541683
+0.00405457
+0.00304154
+0.00285697
+0.00368385
+0.00517133
+0.00622489
+0.00538946
+0.00451722
+0.00373168
+0.0021906
+0.000428599
+-0.00143655
+-0.00193765
+-0.000857752
+0.00022816
+0.00144082
+0.00328789
+0.00475972
+0.00647201
+0.00837449
+0.0101252
+0.0119756
+0.013925
+0.0159106
+0.0165036
+0.0148402
+0.0128134
+0.0108171
+0.00868323
+0.00658673
+0.00454595
+0.00266696
+0.000963028
+-0.00103141
+-0.00242116
+-0.00135486
+0.000394052
+0.0022419
+0.00340241
+0.0049194
+0.00586744
+0.00450989
+0.00358612
+0.00313915
+0.00278246
+0.0033014
+0.00422705
+0.00321629
+0.00178381
+0.00020833
+-0.00122683
+0.00076327
+0.00260841
+0.00454194
+0.00655143
+0.00854325
+0.0104556
+0.0121565
+0.0139507
+0.0158135
+0.0176521
+0.0195118
+0.0214341
+0.0234037
+0.0253615
+0.02922
+0.0275537
+0.0258253
+0.0241684
+0.0226025
+0.0209149
+0.0192899
+0.017669
+0.0160591
+0.014392
+0.0127299
+0.0111468
+0.00955298
+0.00795771
+0.00643296
+0.00496315
+0.0034936
+0.00223825
+0.00114228
+0.000772692
+0.00171885
+0.00205053
+0.00290367
+0.00375117
+0.00426292
+0.00332021
+0.00292969
+0.0030557
+0.00389798
+0.00511123
+0.0064966
+0.00796341
+0.00913218
+0.00747463
+0.00594696
+0.00469466
+0.00409963
+0.00411346
+0.00482153
+0.00607611
+0.00709876
+0.00626093
+0.00540114
+0.00473662
+0.00305625
+0.00131413
+-0.000490007
+-0.00228514
+-0.0015169
+-0.000156132
+0.00112375
+0.00226734
+0.00391055
+0.00569381
+0.00740279
+0.00930585
+0.0112913
+0.013104
+0.0147835
+0.0143312
+0.0139738
+0.0120402
+0.0100901
+0.00805962
+0.00612621
+0.00402388
+0.00183705
+-0.000281079
+-0.00182896
+-0.00301382
+-0.00116913
+0.000789938
+0.00253187
+0.00444601
+0.00595297
+0.00672178
+0.00547109
+0.00457779
+0.00412217
+0.00382681
+0.00427988
+0.00524336
+0.00431909
+0.00277977
+0.00125931
+-0.000485494
+-0.000259505
+0.00166476
+0.00367866
+0.00575387
+0.00777093
+0.00942471
+0.0111882
+0.0129473
+0.0147495
+0.0166452
+0.0185902
+0.0205251
+0.0225064
+0.0245234
+0.0278346
+0.02618
+0.0245462
+0.0228494
+0.0211863
+0.0195859
+0.0178532
+0.0162175
+0.0146116
+0.0130254
+0.0113795
+0.00980238
+0.00813735
+0.00655054
+0.00502167
+0.00349559
+0.00191677
+0.000733759
+5.54902e-05
+0.00157295
+0.00280083
+0.00342863
+0.00439788
+0.00493526
+0.00454726
+0.00397099
+0.00400448
+0.00444288
+0.00537108
+0.00661947
+0.0080246
+0.00953227
+0.0093925
+0.00770787
+0.00632062
+0.00542721
+0.00513083
+0.00532827
+0.00606649
+0.00724128
+0.00779413
+0.00706368
+0.00623865
+0.00568156
+0.00381404
+0.00195306
+0.00018944
+-0.00104232
+-0.0019689
+-0.000678014
+0.000547796
+0.00202571
+0.00330288
+0.00496675
+0.00685935
+0.00865947
+0.0104024
+0.0121346
+0.0126881
+0.0121654
+0.0120179
+0.0113383
+0.00934093
+0.00745303
+0.00543855
+0.00340344
+0.00159738
+-0.000206861
+-0.00226565
+-0.00232259
+-0.000546587
+0.000949116
+0.00287383
+0.00496279
+0.00710987
+0.00764186
+0.00645896
+0.00560464
+0.00509648
+0.00476077
+0.00510514
+0.00601081
+0.00538796
+0.00389881
+0.00223953
+0.000191006
+-0.00114164
+0.000881011
+0.00287064
+0.00485187
+0.00685592
+0.00840533
+0.0100999
+0.0119272
+0.0138121
+0.0157239
+0.0177004
+0.0197222
+0.0216996
+0.0236919
+0.0264939
+0.0247844
+0.0231417
+0.0215215
+0.0198877
+0.018228
+0.0165121
+0.0148068
+0.013157
+0.01156
+0.00998816
+0.00840157
+0.00676695
+0.00514832
+0.00360013
+0.00210917
+0.000433779
+-0.00071793
+0.000857936
+0.00260511
+0.00407616
+0.00488404
+0.00569567
+0.00584625
+0.00521087
+0.00499967
+0.00525466
+0.00584473
+0.00687091
+0.00807692
+0.00952969
+0.0109894
+0.0095993
+0.00818866
+0.00708188
+0.00635928
+0.00621044
+0.00646878
+0.00719942
+0.00829036
+0.00864357
+0.00777808
+0.00702766
+0.00663747
+0.00495938
+0.00325827
+0.00161958
+-0.000511152
+-0.00177028
+-0.00106783
+0.000424331
+0.00150521
+0.00304231
+0.00473526
+0.00625816
+0.00796305
+0.00958827
+0.0113247
+0.0106129
+0.0100105
+0.00983063
+0.0100914
+0.00877362
+0.00668084
+0.00464354
+0.00278191
+0.000978722
+-0.00105265
+-0.0028425
+-0.00176328
+0.000410663
+0.00212073
+0.00381414
+0.00578572
+0.00770685
+0.00862199
+0.00752093
+0.0067423
+0.00619375
+0.0058458
+0.00594867
+0.00667789
+0.00655839
+0.0047939
+0.00263206
+0.000481073
+-0.00151145
+2.47574e-05
+0.00203671
+0.00410091
+0.00577409
+0.0073876
+0.00916035
+0.0110088
+0.0129639
+0.0149108
+0.0168515
+0.018843
+0.0208168
+0.0227831
+0.0251324
+0.0234526
+0.0217477
+0.0201015
+0.0185209
+0.0169346
+0.0151954
+0.0134495
+0.0117691
+0.010117
+0.00849372
+0.00698743
+0.00537819
+0.00375673
+0.00220682
+0.000662232
+-0.000941743
+0.000623056
+0.0022971
+0.00393408
+0.00537212
+0.00627646
+0.00680097
+0.00620795
+0.00597795
+0.00614768
+0.00668668
+0.00738252
+0.00832635
+0.00962071
+0.0109278
+0.0112304
+0.00987341
+0.00868631
+0.00778331
+0.00727553
+0.00726714
+0.00766211
+0.00838101
+0.00947423
+0.00940963
+0.00861656
+0.00793884
+0.00747005
+0.0063444
+0.00429485
+0.00238012
+0.000638876
+-0.00082423
+-0.00142234
+-0.000188974
+0.00119884
+0.00241687
+0.00397201
+0.00535257
+0.0070351
+0.0088439
+0.00973378
+0.00859529
+0.00787524
+0.00764533
+0.00796279
+0.00801505
+0.00599113
+0.00410803
+0.00201121
+-3.12171e-05
+-0.00164587
+-0.00309319
+-0.00116166
+0.000446923
+0.00257611
+0.00474145
+0.00671531
+0.00861095
+0.00966422
+0.00865111
+0.00795875
+0.00742269
+0.00694749
+0.00703155
+0.00768663
+0.00741181
+0.0053024
+0.00322485
+0.00119546
+-0.000591794
+-0.000770511
+0.00124741
+0.00331261
+0.00489603
+0.00656798
+0.00832055
+0.01012
+0.0120356
+0.0139917
+0.0159631
+0.0179157
+0.0198897
+0.0218964
+0.023855
+0.0220889
+0.0203938
+0.0187311
+0.017082
+0.0155267
+0.0140137
+0.0121794
+0.0104079
+0.00870681
+0.0070395
+0.00546058
+0.00392855
+0.00236643
+0.000827457
+-0.000742699
+0.000284109
+0.00196188
+0.00365807
+0.00532113
+0.0067674
+0.00762712
+0.00735454
+0.00692939
+0.00692932
+0.00731533
+0.00793951
+0.0089066
+0.00996131
+0.0110917
+0.0124947
+0.0115356
+0.0101954
+0.00912178
+0.00836988
+0.00791209
+0.00793645
+0.00842524
+0.00933191
+0.0105903
+0.0102463
+0.00942061
+0.00876837
+0.00826306
+0.00722456
+0.00533785
+0.00346509
+0.00185671
+0.000353434
+-0.00145048
+-0.000538345
+0.000450165
+0.00173273
+0.00313171
+0.0045882
+0.00627053
+0.007796
+0.00807706
+0.00668743
+0.00577655
+0.00546434
+0.00587989
+0.00689879
+0.00529862
+0.00328134
+0.00142613
+-0.000244518
+-0.00227585
+-0.00225762
+-0.000468851
+0.00148682
+0.00335127
+0.00533738
+0.00735818
+0.00945495
+0.0107783
+0.0097661
+0.00907521
+0.008334
+0.00788871
+0.00794497
+0.00857772
+0.00804191
+0.00597406
+0.00391948
+0.00192147
+0.000280869
+-0.00141795
+0.000521801
+0.00260774
+0.00392198
+0.0054616
+0.00728526
+0.00918999
+0.0111272
+0.0130463
+0.0150108
+0.0170288
+0.019085
+0.0211449
+0.0226698
+0.0208367
+0.019063
+0.0173489
+0.0157272
+0.0140735
+0.0125464
+0.0110154
+0.00915317
+0.00736858
+0.00565219
+0.0039889
+0.0024516
+0.000914324
+-0.000620621
+8.75575e-05
+0.0016919
+0.00328491
+0.00501116
+0.00671338
+0.00805898
+0.00888172
+0.00826918
+0.00790013
+0.00801701
+0.00837568
+0.00916728
+0.0102495
+0.0114177
+0.012717
+0.0135322
+0.0120728
+0.0107996
+0.0097856
+0.00911072
+0.00881996
+0.00884751
+0.00927393
+0.0100948
+0.0112689
+0.011193
+0.0103873
+0.00976445
+0.00920411
+0.00799008
+0.00652097
+0.00455961
+0.00279436
+0.00140019
+-0.000330605
+-0.00150217
+0.000235971
+0.00135493
+0.00277041
+0.00391716
+0.00541804
+0.00681447
+0.00671779
+0.00499041
+0.00372149
+0.00329626
+0.00390644
+0.00523606
+0.00447452
+0.00246821
+0.000603434
+-0.000983757
+-0.0018357
+-0.00078061
+0.000307454
+0.001902
+0.00384418
+0.00595127
+0.00810282
+0.0102353
+0.0118058
+0.0108697
+0.0101633
+0.00940364
+0.00893074
+0.00889836
+0.00937082
+0.00853437
+0.0064322
+0.00440364
+0.00255159
+0.00105518
+-0.000762936
+-0.000143525
+0.00178322
+0.00285913
+0.00451594
+0.00631367
+0.00819051
+0.0101509
+0.0121861
+0.0142406
+0.0162678
+0.0183129
+0.0203203
+0.0216414
+0.019713
+0.0178451
+0.0160543
+0.0143207
+0.0126888
+0.0111005
+0.00961228
+0.00795659
+0.00610897
+0.00430501
+0.00259871
+0.000970863
+-0.000565563
+-3.8722e-05
+0.00161465
+0.00317543
+0.00468539
+0.00633899
+0.00805003
+0.00906724
+0.00937398
+0.00895005
+0.00899225
+0.00931942
+0.00973225
+0.0104533
+0.011509
+0.0127897
+0.0141139
+0.0140525
+0.0126214
+0.0114097
+0.0105196
+0.010037
+0.00994396
+0.0100483
+0.0104276
+0.0111808
+0.0122513
+0.0122562
+0.0114524
+0.0107609
+0.0100252
+0.00862831
+0.00715092
+0.00549849
+0.00388994
+0.00211797
+0.000320901
+-0.00147582
+-0.000695743
+0.00100776
+0.00193053
+0.00324064
+0.00444956
+0.00560469
+0.00574204
+0.00373057
+0.00194062
+0.00120345
+0.00218297
+0.00405673
+0.00378363
+0.0022294
+0.000725191
+-0.000790584
+-0.00019784
+0.000555039
+0.00212866
+0.00337121
+0.00496424
+0.00676539
+0.00872675
+0.01077
+0.012787
+0.0117993
+0.0110081
+0.0102338
+0.00984294
+0.00987132
+0.0101962
+0.00838536
+0.00630783
+0.00424298
+0.00233089
+0.000574146
+-0.00106622
+-0.00087764
+0.000785541
+0.00183604
+0.00345478
+0.00536162
+0.00737185
+0.00935766
+0.011408
+0.0134201
+0.015442
+0.0175046
+0.0195888
+0.0206525
+0.0187211
+0.0168071
+0.0148938
+0.0130579
+0.0113136
+0.00968352
+0.00817778
+0.00673793
+0.00492588
+0.00307756
+0.00127059
+-0.000457506
+-0.000348774
+0.0013831
+0.00303258
+0.0046637
+0.00619806
+0.00772626
+0.00923036
+0.0102696
+0.0101095
+0.00986231
+0.00993052
+0.0103876
+0.0112557
+0.0119578
+0.0129139
+0.0140929
+0.015474
+0.0142496
+0.0131205
+0.0121157
+0.0113625
+0.010917
+0.0108906
+0.0111933
+0.0117714
+0.012523
+0.0134838
+0.0132582
+0.0125093
+0.0118173
+0.0106995
+0.00937839
+0.0078615
+0.00630787
+0.00459995
+0.00282212
+0.00112444
+-0.000603655
+-0.0014202
+0.00032978
+0.00168751
+0.00299727
+0.00383318
+0.00459351
+0.00544746
+0.0033068
+0.00121789
+-0.000206567
+0.00137893
+0.00326172
+0.00291529
+0.0018253
+0.00125355
+0.00128156
+0.00154548
+0.0023608
+0.00339681
+0.00478777
+0.00640052
+0.00804273
+0.00979248
+0.0116578
+0.013617
+0.0126852
+0.0117952
+0.0111054
+0.0107062
+0.0106933
+0.010457
+0.00830948
+0.00617377
+0.00409171
+0.00207063
+0.000208934
+-0.00145626
+-0.00161114
+-0.000285901
+0.000761004
+0.0025134
+0.00450844
+0.00657303
+0.00853349
+0.0105824
+0.0126685
+0.0147235
+0.0168005
+0.0189032
+0.0196718
+0.0177357
+0.0157597
+0.0138391
+0.012005
+0.0101188
+0.00837302
+0.00670956
+0.00529714
+0.00369073
+0.00192237
+7.91316e-05
+-0.00136949
+0.000372141
+0.00209945
+0.00397888
+0.00596014
+0.00764102
+0.00919082
+0.0104523
+0.0111241
+0.0108205
+0.0108184
+0.0110544
+0.0115967
+0.0123804
+0.0134737
+0.0144775
+0.0155712
+0.0157114
+0.0144476
+0.0134046
+0.012459
+0.0118097
+0.0114796
+0.0114654
+0.0118198
+0.0124736
+0.0133854
+0.0145385
+0.0142426
+0.0136362
+0.0128073
+0.0115052
+0.0101743
+0.00882213
+0.00717704
+0.00536628
+0.00371458
+0.00217868
+0.000865566
+-6.04892e-05
+0.000465654
+0.00220603
+0.0030933
+0.00344867
+0.00424604
+0.0042922
+0.00293172
+0.00123192
+-0.000318443
+0.000953083
+0.00276721
+0.00292312
+0.00218016
+0.00227754
+0.00304053
+0.00361411
+0.00445527
+0.00517196
+0.00642672
+0.00774501
+0.00934034
+0.0110937
+0.0128523
+0.0145724
+0.0136944
+0.0128268
+0.0121138
+0.0117149
+0.011647
+0.0105851
+0.008477
+0.00637553
+0.00432309
+0.00238734
+0.000608987
+-0.000757709
+-0.00204695
+-0.00128543
+-0.000239103
+0.00164419
+0.00366546
+0.00576573
+0.00779805
+0.00987551
+0.0119918
+0.0141308
+0.0162473
+0.0182546
+0.0188011
+0.016769
+0.0147811
+0.0128593
+0.010872
+0.00897494
+0.00720495
+0.0054659
+0.00382655
+0.00252571
+0.000660882
+-0.00113581
+-0.00108886
+0.000645752
+0.00255821
+0.00452967
+0.00657029
+0.00851993
+0.0105337
+0.0116872
+0.0118675
+0.0118029
+0.0119037
+0.0121904
+0.0127815
+0.0136469
+0.0147161
+0.0159499
+0.017174
+0.0159127
+0.0147121
+0.0136768
+0.0129329
+0.012417
+0.0121136
+0.0121764
+0.012554
+0.013263
+0.0142309
+0.0153665
+0.0152414
+0.0147308
+0.013802
+0.0125091
+0.0111403
+0.00982172
+0.00815191
+0.00649704
+0.00495892
+0.00363662
+0.0027312
+0.00204126
+0.00224914
+0.00337654
+0.00351193
+0.00336378
+0.00349535
+0.00260924
+0.00142623
+0.000175317
+-0.000550201
+0.000270867
+0.00171549
+0.00174771
+0.00188088
+0.00297596
+0.00415527
+0.00542153
+0.00607336
+0.00712782
+0.00813712
+0.00938961
+0.0107817
+0.0123577
+0.0140762
+0.0157025
+0.0147337
+0.0137529
+0.0130668
+0.0126561
+0.0126178
+0.0110385
+0.0089801
+0.0069707
+0.00501376
+0.00322903
+0.00160756
+0.000395186
+-0.00126943
+-0.00135899
+-0.00114469
+0.000878468
+0.00296235
+0.0051243
+0.00729658
+0.00945135
+0.0116196
+0.0136263
+0.0156612
+0.0176868
+0.0177032
+0.0158036
+0.0139359
+0.0118948
+0.00989774
+0.00800269
+0.00600205
+0.00417255
+0.00249864
+0.00117747
+-0.000459732
+-0.00235537
+-0.000714868
+0.00129566
+0.00325596
+0.00527122
+0.00722619
+0.00920617
+0.011224
+0.0130119
+0.0128158
+0.0128418
+0.0130167
+0.0134068
+0.0140404
+0.0149158
+0.0159806
+0.0172094
+0.0174492
+0.0162263
+0.0151581
+0.0142065
+0.0135053
+0.0131206
+0.0129942
+0.0130528
+0.0134207
+0.0141062
+0.0150487
+0.0162071
+0.0162949
+0.0158325
+0.0146951
+0.0134978
+0.0122908
+0.0109664
+0.00931306
+0.00781692
+0.00644087
+0.00533886
+0.0046727
+0.00421451
+0.00433708
+0.00501103
+0.00437593
+0.00306644
+0.00161554
+0.00101283
+9.52429e-05
+-0.000820942
+-0.00134591
+-0.00102802
+-0.000255252
+-2.96656e-06
+0.000427574
+0.00226058
+0.00383988
+0.00555381
+0.00724692
+0.00859669
+0.00969525
+0.0110517
+0.0124111
+0.0138456
+0.0154072
+0.0163125
+0.0153628
+0.0145306
+0.0139917
+0.0137164
+0.0137066
+0.0117149
+0.0097747
+0.00788492
+0.00606773
+0.00442438
+0.00289414
+0.00108642
+-0.000577569
+-0.00121516
+-0.00148746
+0.000628762
+0.00278463
+0.00496047
+0.00714537
+0.00900253
+0.0109731
+0.0129995
+0.0150576
+0.0170638
+0.0165831
+0.014715
+0.0128474
+0.0109137
+0.00898459
+0.00701169
+0.00504384
+0.00302858
+0.00115716
+-0.000282313
+-0.00158956
+-0.00180715
+0.00010632
+0.00208882
+0.00409853
+0.00609937
+0.00806003
+0.0100491
+0.0120144
+0.0139282
+0.0137452
+0.0138367
+0.0141426
+0.0146427
+0.0153204
+0.0162237
+0.0172996
+0.0184979
+0.0177168
+0.0165129
+0.0155262
+0.0148003
+0.0142229
+0.0138761
+0.0138123
+0.014067
+0.0144747
+0.0151124
+0.0160266
+0.0171692
+0.0172072
+0.0168616
+0.0156912
+0.0145468
+0.0135261
+0.0122349
+0.0107084
+0.00933828
+0.00813769
+0.00722081
+0.00669979
+0.00639765
+0.00648417
+0.00567094
+0.00360516
+0.00173108
+0.000268072
+-0.00107672
+-0.0019381
+-0.00270722
+-0.0031857
+-0.00261523
+-0.00187194
+-0.00135158
+6.88067e-06
+0.00169056
+0.00346526
+0.00510682
+0.00700516
+0.00883796
+0.0108005
+0.0124679
+0.0138852
+0.0153929
+0.0169141
+0.0169941
+0.0159932
+0.0152156
+0.0146662
+0.0144308
+0.0144515
+0.0126815
+0.0108178
+0.00904067
+0.00740625
+0.00565545
+0.00377959
+0.0020181
+0.000247127
+-0.000553759
+-0.00066573
+0.000629915
+0.00243124
+0.00442495
+0.0064248
+0.00844785
+0.010382
+0.0123707
+0.014418
+0.0164247
+0.0156303
+0.0136498
+0.0117314
+0.00986985
+0.00795021
+0.00603789
+0.00409638
+0.00209415
+0.000157191
+-0.00160437
+-0.00220426
+-0.0006356
+0.00116744
+0.0030498
+0.00500279
+0.00703861
+0.00905995
+0.0109615
+0.0129315
+0.0146872
+0.01483
+0.0149625
+0.0153017
+0.0158962
+0.0166706
+0.0175454
+0.0186031
+0.0194949
+0.0181868
+0.0170167
+0.016061
+0.0153422
+0.0148127
+0.0145907
+0.0146952
+0.0149495
+0.0154529
+0.016167
+0.0171333
+0.0182354
+0.0182258
+0.0178534
+0.016846
+0.0157752
+0.0148179
+0.0136734
+0.0123122
+0.0110324
+0.00997966
+0.00920496
+0.00879998
+0.00857551
+0.00759192
+0.00541417
+0.00324378
+0.00108115
+-0.00103323
+-0.00236957
+-0.00367746
+-0.00471413
+-0.00520997
+-0.00455574
+-0.00368447
+-0.00220911
+-0.000328185
+0.00156578
+0.00337708
+0.00522059
+0.00706587
+0.00903778
+0.0110103
+0.0129645
+0.0149042
+0.0167939
+0.0184006
+0.017731
+0.0167714
+0.0160339
+0.0154688
+0.0151234
+0.0150914
+0.0138033
+0.0120707
+0.0104531
+0.00855234
+0.00677094
+0.00491767
+0.0031016
+0.00139004
+0.000422425
+-4.13977e-06
+6.17335e-06
+0.00185416
+0.00379275
+0.00582775
+0.00786974
+0.00976327
+0.011745
+0.0137808
+0.0158495
+0.0148797
+0.0128041
+0.0107743
+0.00882186
+0.00687761
+0.00503546
+0.00305728
+0.00110737
+-0.000779852
+-0.00278033
+-0.00112517
+0.000774924
+0.00241752
+0.00417942
+0.00602802
+0.00793968
+0.00989475
+0.0119105
+0.0139315
+0.0155007
+0.0157196
+0.0161529
+0.0165477
+0.0171215
+0.0179279
+0.0189182
+0.01998
+0.0199762
+0.0186863
+0.0175531
+0.0166283
+0.0159173
+0.0154625
+0.0152838
+0.0153839
+0.0157903
+0.0164219
+0.0170956
+0.0180121
+0.0191064
+0.0194036
+0.0190216
+0.0181813
+0.0171828
+0.0162669
+0.0152069
+0.0139884
+0.0128491
+0.0119237
+0.0112578
+0.0109357
+0.00960856
+0.00742679
+0.00525247
+0.00309947
+0.000969887
+-0.00115247
+-0.00329736
+-0.00539377
+-0.00670205
+-0.00730205
+-0.00644135
+-0.00465062
+-0.00277086
+-0.000699898
+0.00118073
+0.00311394
+0.00500017
+0.00697923
+0.00905434
+0.0111503
+0.0131742
+0.0151646
+0.01716
+0.0191479
+0.0185476
+0.0175449
+0.016735
+0.0161831
+0.0158789
+0.0158477
+0.0151126
+0.0134161
+0.0115541
+0.00971835
+0.00766486
+0.00558321
+0.00358742
+0.00189624
+0.000816247
+0.000728381
+-0.000743105
+0.00119594
+0.00314647
+0.0051253
+0.00707947
+0.00914131
+0.0111368
+0.0131452
+0.0151654
+0.014425
+0.0122729
+0.0101372
+0.00803131
+0.00598656
+0.00402402
+0.00213778
+0.000203045
+-0.00181906
+-0.00205031
+-0.000446219
+0.00131434
+0.00338288
+0.00549479
+0.00721882
+0.00901922
+0.0108996
+0.0128296
+0.0147891
+0.0163785
+0.0166188
+0.0170973
+0.0177979
+0.0184865
+0.0192532
+0.0202077
+0.0213379
+0.0206528
+0.0193849
+0.0182898
+0.017395
+0.0166943
+0.0162515
+0.0160705
+0.0161657
+0.0165334
+0.0171638
+0.0180167
+0.0189639
+0.0200351
+0.0207209
+0.0203593
+0.0196343
+0.0186741
+0.0174848
+0.0160236
+0.0146821
+0.0135215
+0.0123035
+0.01129
+0.0104625
+0.00962344
+0.00743396
+0.0052455
+0.00306023
+0.000901671
+-0.00115028
+-0.00327486
+-0.00527802
+-0.00738627
+-0.00824446
+-0.00623466
+-0.00429218
+-0.00224682
+-0.000273945
+0.001182
+0.00307047
+0.00483363
+0.00683851
+0.0089311
+0.0110505
+0.012995
+0.0149684
+0.0169951
+0.0190581
+0.0192333
+0.018266
+0.0175198
+0.0169504
+0.01658
+0.0164948
+0.0163722
+0.014241
+0.0121282
+0.0100489
+0.00802873
+0.00611075
+0.00428161
+0.0026824
+0.00167188
+0.00134546
+-0.000647203
+0.000497753
+0.00240093
+0.00438711
+0.00641372
+0.00843862
+0.0104369
+0.0124753
+0.0145091
+0.0142506
+0.0120761
+0.00990878
+0.00775264
+0.00560648
+0.00351367
+0.00162777
+3.24743e-05
+-0.00135733
+-0.00074123
+0.000609184
+0.00242947
+0.00425247
+0.00618608
+0.00820006
+0.0102865
+0.0120458
+0.0138934
+0.0157878
+0.0174211
+0.0176473
+0.0180983
+0.0187834
+0.0196676
+0.0206929
+0.0215849
+0.0221685
+0.0209395
+0.0198546
+0.0189357
+0.0182351
+0.017667
+0.0172479
+0.0170707
+0.0171604
+0.0175137
+0.01811
+0.0189142
+0.0198384
+0.0209247
+0.022121
+0.0212672
+0.0195614
+0.0178328
+0.0162163
+0.0147488
+0.0134592
+0.0121394
+0.0109643
+0.00986563
+0.00910785
+0.00847204
+0.00748792
+0.00535631
+0.00324335
+0.00128464
+-0.000713829
+-0.00286247
+-0.00503432
+-0.00720942
+-0.00857114
+-0.00666065
+-0.004676
+-0.00270883
+-0.000697162
+0.00105913
+0.00277377
+0.00471171
+0.00676618
+0.00876801
+0.0107164
+0.0125988
+0.014506
+0.0162433
+0.0180478
+0.0197039
+0.0187829
+0.018056
+0.0175413
+0.0172908
+0.0172635
+0.0166075
+0.0145086
+0.0124414
+0.0104247
+0.00848396
+0.00665425
+0.00493918
+0.0033507
+0.00223009
+0.00200007
+1.66428e-05
+-0.000199499
+0.00171816
+0.00366859
+0.00568113
+0.00775885
+0.00975886
+0.0117827
+0.0138438
+0.0139658
+0.0119781
+0.0100357
+0.00800551
+0.00595125
+0.0039678
+0.00213114
+0.000624988
+-1.76046e-05
+0.00055348
+0.00190621
+0.00348502
+0.00533781
+0.00712197
+0.00906129
+0.0110681
+0.0130753
+0.0150883
+0.016902
+0.0186482
+0.0188547
+0.0192771
+0.0199217
+0.0207758
+0.0217781
+0.0229453
+0.0222137
+0.0209873
+0.0198896
+0.0189724
+0.0182732
+0.0178175
+0.0175878
+0.0176133
+0.0179088
+0.0184613
+0.0191976
+0.0199516
+0.0208317
+0.0218851
+0.0221926
+0.0203855
+0.0186105
+0.0168777
+0.0151597
+0.0135785
+0.0121658
+0.0109559
+0.00970091
+0.00871218
+0.00786978
+0.00736383
+0.00701053
+0.00488342
+0.0027194
+0.000600319
+-0.00139409
+-0.00329028
+-0.00537178
+-0.00751561
+-0.00933915
+-0.00746844
+-0.0054587
+-0.00356142
+-0.0017414
+-7.81554e-06
+0.00192969
+0.00394245
+0.00601135
+0.00776394
+0.00965898
+0.0115525
+0.0132806
+0.0150938
+0.0169961
+0.0184734
+0.0194834
+0.0188031
+0.0183184
+0.0180792
+0.0180649
+0.0170884
+0.0150211
+0.0129906
+0.0110214
+0.00914823
+0.00741028
+0.00578973
+0.00422307
+0.0029722
+0.00248771
+0.000743741
+-0.000876633
+0.0010321
+0.0029804
+0.00503222
+0.0071659
+0.00912884
+0.0111176
+0.0131123
+0.013637
+0.0116403
+0.00972302
+0.00786108
+0.00614567
+0.0046802
+0.00319321
+0.00203985
+0.00161955
+0.00213367
+0.00330819
+0.00483419
+0.00644896
+0.00827231
+0.0100249
+0.0119225
+0.013882
+0.0158972
+0.0179495
+0.0199356
+0.0201699
+0.0205994
+0.0212037
+0.0220103
+0.0229861
+0.0237886
+0.0224348
+0.0212212
+0.0201362
+0.0192308
+0.0185414
+0.0180924
+0.0178663
+0.0178914
+0.0181823
+0.0187239
+0.019453
+0.020386
+0.0215025
+0.0227736
+0.0212578
+0.0194084
+0.0176269
+0.0159344
+0.0142464
+0.0126276
+0.0111183
+0.0098234
+0.00869156
+0.00771175
+0.00676657
+0.00611952
+0.0056418
+0.00429083
+0.00221946
+0.000155908
+-0.00184357
+-0.00390113
+-0.00601035
+-0.00812055
+-0.0101576
+-0.00839322
+-0.0064965
+-0.00467787
+-0.00274005
+-0.000881582
+0.00115806
+0.00300632
+0.00481835
+0.0067201
+0.00857119
+0.010357
+0.0122114
+0.0140858
+0.0159264
+0.0171221
+0.0182564
+0.0194916
+0.0192724
+0.0190452
+0.019054
+0.0176438
+0.0156479
+0.0137117
+0.0117823
+0.00992939
+0.00819646
+0.00652912
+0.00496559
+0.0037738
+0.00315374
+0.00138555
+-0.000643672
+0.000381359
+0.00235049
+0.00436389
+0.00641503
+0.00835773
+0.0103639
+0.0124317
+0.0133974
+0.01146
+0.00961638
+0.00784569
+0.00624632
+0.00493736
+0.00403384
+0.00352082
+0.00345825
+0.00389023
+0.0048472
+0.00616741
+0.00769338
+0.00946773
+0.0112484
+0.0129992
+0.0148415
+0.0167658
+0.0187373
+0.0207435
+0.0216133
+0.0220151
+0.0225839
+0.0233426
+0.0242759
+0.0241944
+0.0228646
+0.0216751
+0.0206129
+0.0197294
+0.019058
+0.0186185
+0.0184031
+0.0184275
+0.0187101
+0.0192221
+0.019933
+0.0208509
+0.0219497
+0.0222973
+0.0203425
+0.018438
+0.0166044
+0.0148676
+0.013266
+0.0116957
+0.0101688
+0.00881327
+0.00765261
+0.00656773
+0.0056455
+0.00503566
+0.00443446
+0.00386843
+0.0017409
+-0.000416612
+-0.00257553
+-0.00468827
+-0.00670852
+-0.00871741
+-0.0107972
+-0.00931413
+-0.00748095
+-0.00561014
+-0.00366591
+-0.00164849
+9.79796e-05
+0.00189039
+0.00375642
+0.00566588
+0.00757357
+0.00937674
+0.0111341
+0.0130235
+0.014619
+0.0155839
+0.0167294
+0.0180491
+0.0194906
+0.0201795
+0.0202018
+0.0183522
+0.0163559
+0.0144161
+0.0125517
+0.0107447
+0.00905026
+0.00728786
+0.00575506
+0.00457836
+0.00398841
+0.00205243
+2.66251e-06
+-0.00022939
+0.00170138
+0.00365586
+0.00568391
+0.00780018
+0.00982569
+0.011887
+0.0133363
+0.0114464
+0.00962979
+0.00796381
+0.00652856
+0.00547639
+0.00486395
+0.00486097
+0.00518876
+0.00575889
+0.00658763
+0.00775375
+0.00909328
+0.0106398
+0.0123644
+0.0142131
+0.0159959
+0.0178191
+0.0196979
+0.0216339
+0.0230501
+0.0234938
+0.0240625
+0.024776
+0.0256572
+0.0247879
+0.0234917
+0.0223104
+0.0212724
+0.0204175
+0.0197694
+0.0193356
+0.0191392
+0.0191626
+0.0194322
+0.0199334
+0.0206352
+0.0215231
+0.0225893
+0.0216063
+0.01963
+0.0176488
+0.0157234
+0.0138768
+0.0121452
+0.0105851
+0.00906647
+0.00769081
+0.00648383
+0.00553957
+0.00470785
+0.0038883
+0.00344129
+0.003688
+0.00157348
+-0.000480173
+-0.00252969
+-0.00458881
+-0.00669136
+-0.00883263
+-0.0109881
+-0.0103348
+-0.00845378
+-0.00656924
+-0.00466007
+-0.00277673
+-0.000965522
+0.000982279
+0.00280094
+0.00465526
+0.00650198
+0.00828988
+0.0102236
+0.0121301
+0.0129824
+0.0140024
+0.0152586
+0.0167087
+0.0182719
+0.0199215
+0.0210452
+0.0190791
+0.0171499
+0.0152591
+0.0134595
+0.0116082
+0.00979817
+0.00811927
+0.00659526
+0.00540842
+0.00471346
+0.00278512
+0.000876561
+-0.000795368
+0.0011493
+0.00317433
+0.00524927
+0.00734424
+0.00945177
+0.0115647
+0.0134451
+0.0116104
+0.0098962
+0.00836852
+0.007095
+0.00621358
+0.00584889
+0.00607268
+0.0066909
+0.00751206
+0.00844849
+0.00946629
+0.0106571
+0.0120778
+0.0136373
+0.0153378
+0.0171498
+0.0190225
+0.0208136
+0.0226727
+0.0245706
+0.0250543
+0.0256112
+0.0262962
+0.026931
+0.0255559
+0.0242857
+0.0231292
+0.0221296
+0.0213091
+0.0206824
+0.0202651
+0.020076
+0.0200984
+0.0203573
+0.0208363
+0.0215286
+0.0223904
+0.0231211
+0.0210844
+0.0190818
+0.0171055
+0.015111
+0.0131789
+0.0113412
+0.00965197
+0.00817074
+0.00673175
+0.00553401
+0.00463214
+0.00356584
+0.00279819
+0.00269899
+0.00353651
+0.00157185
+-0.000478369
+-0.00250928
+-0.00455987
+-0.0066886
+-0.0088338
+-0.0109744
+-0.0113271
+-0.00952955
+-0.00760919
+-0.00577778
+-0.00384329
+-0.00197654
+-0.000188257
+0.00168829
+0.00379681
+0.00567382
+0.00760808
+0.0095665
+0.0105599
+0.0114577
+0.0125872
+0.0139582
+0.0154949
+0.0171634
+0.0189287
+0.0207346
+0.0199401
+0.0180589
+0.016133
+0.0141979
+0.0122561
+0.0104136
+0.00873328
+0.00720888
+0.00610174
+0.00548016
+0.00369761
+0.00192947
+0.000762563
+0.00134637
+0.00314634
+0.00513748
+0.00721768
+0.00934036
+0.0114395
+0.0136545
+0.0119147
+0.0103442
+0.00893653
+0.00785605
+0.00712812
+0.00692758
+0.00722371
+0.00797923
+0.00892359
+0.0100324
+0.0112893
+0.0123513
+0.0136296
+0.015083
+0.0166716
+0.0183525
+0.0201316
+0.0219839
+0.0238325
+0.0256619
+0.0266413
+0.0272127
+0.0279058
+0.0278108
+0.0264713
+0.0252248
+0.0241134
+0.0231563
+0.0223735
+0.0217755
+0.0213795
+0.0211987
+0.0212198
+0.0214657
+0.0219216
+0.0225807
+0.0234268
+0.022716
+0.0206392
+0.0185878
+0.0165712
+0.0145954
+0.0126814
+0.0108723
+0.00906672
+0.00744737
+0.0059022
+0.00476406
+0.00352342
+0.0027593
+0.00205918
+0.00241023
+0.00299679
+0.00140241
+-0.000664236
+-0.00266289
+-0.00472027
+-0.00679224
+-0.00891986
+-0.0109056
+-0.0122336
+-0.0102903
+-0.00844932
+-0.00678442
+-0.00490188
+-0.002936
+-0.000855245
+0.00109942
+0.00311913
+0.0050563
+0.00704255
+0.0084267
+0.00920449
+0.0101343
+0.0113782
+0.0128501
+0.0145009
+0.0162596
+0.0181127
+0.0200053
+0.0206532
+0.0186244
+0.0166316
+0.0146639
+0.0127691
+0.0109717
+0.00930841
+0.00788766
+0.00677109
+0.00601688
+0.0050023
+0.00361474
+0.00281182
+0.00289966
+0.00403683
+0.00564753
+0.00750589
+0.00950687
+0.0115632
+0.0140636
+0.0123883
+0.0108896
+0.00965891
+0.00869265
+0.00810964
+0.00802213
+0.00836499
+0.00916023
+0.010259
+0.0113875
+0.0126784
+0.0140722
+0.0153083
+0.0166475
+0.0181195
+0.0197107
+0.021391
+0.0231439
+0.0249661
+0.026841
+0.0278901
+0.0287944
+0.0295182
+0.0288007
+0.0275088
+0.0263115
+0.025248
+0.0243356
+0.0235919
+0.0230255
+0.0226514
+0.0224793
+0.0224993
+0.0227313
+0.0231638
+0.0237885
+0.0245931
+0.0224837
+0.0203802
+0.0182972
+0.0162425
+0.0142285
+0.0122143
+0.0101943
+0.00826143
+0.00645952
+0.00495227
+0.00373314
+0.00249788
+0.00194794
+0.00158749
+0.00231275
+0.00266973
+0.00170314
+-0.00025355
+-0.00231403
+-0.00441371
+-0.00641043
+-0.00806918
+-0.00956374
+-0.0111255
+-0.0111906
+-0.00935575
+-0.00743051
+-0.0054252
+-0.00348784
+-0.00163506
+0.00042912
+0.00248682
+0.00453278
+0.00648485
+0.00717825
+0.00805144
+0.00908822
+0.0104551
+0.0120098
+0.013738
+0.015583
+0.0174659
+0.0194034
+0.0210893
+0.0191034
+0.0171229
+0.0152002
+0.0133601
+0.0116335
+0.0100642
+0.00872518
+0.00759741
+0.00677319
+0.00643315
+0.00554904
+0.00479467
+0.00463287
+0.00522482
+0.00650932
+0.00814962
+0.010003
+0.0119708
+0.0147302
+0.0131508
+0.0117498
+0.0106193
+0.00970148
+0.00918237
+0.00911557
+0.00951997
+0.0103809
+0.0114984
+0.0127518
+0.0140232
+0.0154015
+0.0169097
+0.0183116
+0.01969
+0.0211739
+0.0227632
+0.0244413
+0.0261763
+0.0279725
+0.0292421
+0.0301058
+0.0311001
+0.0299181
+0.0286764
+0.02753
+0.0265153
+0.0256481
+0.0249436
+0.0244086
+0.024056
+0.0238925
+0.0239113
+0.0241298
+0.0245391
+0.0251296
+0.0245774
+0.0224563
+0.02035
+0.0182636
+0.0161665
+0.0140438
+0.0119458
+0.00988806
+0.0079021
+0.00605616
+0.00439563
+0.00305581
+0.00187495
+0.0011544
+0.00157327
+0.00225462
+0.00288928
+0.0021358
+8.36707e-05
+-0.00187488
+-0.00343956
+-0.00513033
+-0.00678477
+-0.00826713
+-0.00995136
+-0.0112617
+-0.00991543
+-0.00786602
+-0.00577848
+-0.00380865
+-0.0020979
+-0.00020979
+0.00178841
+0.00388741
+0.00587182
+0.00636829
+0.00730904
+0.00839932
+0.00979033
+0.0114346
+0.0132209
+0.0150902
+0.0170225
+0.0189348
+0.020874
+0.0197099
+0.0178034
+0.0159672
+0.0142199
+0.0125919
+0.0110851
+0.00966698
+0.00854047
+0.00780898
+0.00756691
+0.00730648
+0.00654743
+0.00631697
+0.00674779
+0.00773392
+0.00909839
+0.0107399
+0.0125503
+0.015674
+0.0141841
+0.0128959
+0.0118295
+0.0110055
+0.0105508
+0.0104944
+0.0108475
+0.0116104
+0.0127096
+0.0140551
+0.0153666
+0.0167818
+0.0182406
+0.0197803
+0.021342
+0.0227433
+0.0242394
+0.0258265
+0.0274922
+0.0292224
+0.0306864
+0.0315151
+0.0324357
+0.0311496
+0.029959
+0.0288635
+0.0278974
+0.0270744
+0.026408
+0.0259033
+0.0255713
+0.0254162
+0.0254339
+0.0256394
+0.0260263
+0.0265838
+0.0247471
+0.0226419
+0.0205231
+0.0183815
+0.0162528
+0.0141432
+0.0120624
+0.0100286
+0.0080773
+0.00628574
+0.00470332
+0.00322702
+0.00174595
+0.00101358
+0.00179055
+0.00233041
+0.00360581
+0.00269704
+0.000909294
+-0.000520737
+-0.00219781
+-0.00396016
+-0.00542365
+-0.00714188
+-0.00888791
+-0.00943407
+-0.00851012
+-0.00771526
+-0.00605236
+-0.00417842
+-0.00255525
+-0.000574428
+0.00147536
+0.00364612
+0.00546676
+0.00600064
+0.00695046
+0.00809394
+0.00952963
+0.0111798
+0.0129735
+0.0148675
+0.0167152
+0.018624
+0.0205839
+0.0204726
+0.0186373
+0.0168677
+0.0152082
+0.0135942
+0.0120629
+0.0107477
+0.00971099
+0.00906408
+0.00887105
+0.00891624
+0.00813612
+0.00788809
+0.00816294
+0.008961
+0.010162
+0.0116517
+0.0133118
+0.0168317
+0.0154538
+0.0142611
+0.0132842
+0.0125561
+0.0121595
+0.0121106
+0.0124178
+0.0130896
+0.0140737
+0.0153096
+0.0167046
+0.0181047
+0.0196262
+0.0211489
+0.0227108
+0.0243515
+0.0258024
+0.0273122
+0.0288973
+0.0305526
+0.0322118
+0.0330096
+0.0337177
+0.0324823
+0.0313423
+0.0302969
+0.029378
+0.0285976
+0.0279675
+0.0274915
+0.0271789
+0.0270317
+0.0270483
+0.0272417
+0.0276074
+0.0271983
+0.0250698
+0.0229417
+0.020823
+0.0187157
+0.0166299
+0.0145749
+0.0125658
+0.0106288
+0.00881139
+0.00720475
+0.00539784
+0.00376149
+0.00257389
+0.0020225
+0.0022754
+0.00312716
+0.00425235
+0.00353546
+0.00184724
+0.000497488
+-0.000942642
+-0.00248258
+-0.00413794
+-0.00580394
+-0.00735908
+-0.00775767
+-0.00670003
+-0.00590314
+-0.00480225
+-0.00318797
+-0.00174296
+-0.000216495
+0.00175217
+0.00390528
+0.00545645
+0.00599709
+0.00697679
+0.00828433
+0.00969185
+0.0113184
+0.0130404
+0.0147925
+0.0166416
+0.018558
+0.0205242
+0.0214049
+0.0196404
+0.0179354
+0.0162528
+0.0146895
+0.0132844
+0.0121027
+0.0111922
+0.0103969
+0.00993926
+0.00985428
+0.00921753
+0.0090121
+0.00931915
+0.0100652
+0.0111704
+0.0125638
+0.0141604
+0.0181806
+0.0169032
+0.0157946
+0.0149062
+0.014241
+0.0138926
+0.0138848
+0.014154
+0.0147469
+0.015627
+0.0167487
+0.0180343
+0.019479
+0.0209303
+0.0224805
+0.0240818
+0.0256623
+0.0273096
+0.0288698
+0.0303902
+0.0319733
+0.0336199
+0.0345724
+0.0350897
+0.0339043
+0.0328137
+0.0318167
+0.0309429
+0.030203
+0.0296071
+0.0291578
+0.0288633
+0.0287236
+0.0287392
+0.0289212
+0.0292666
+0.0276091
+0.0255047
+0.0234162
+0.0213446
+0.0192943
+0.0172785
+0.0153109
+0.0134125
+0.0115861
+0.00957277
+0.00765586
+0.00582331
+0.00420859
+0.00317781
+0.00282597
+0.00315885
+0.00403118
+0.00531102
+0.00474752
+0.00317558
+0.00165055
+0.000492646
+-0.00108389
+-0.00272089
+-0.00428722
+-0.00573923
+-0.00595251
+-0.00496451
+-0.00419828
+-0.00336874
+-0.00185562
+-0.000797585
+0.000517701
+0.00263801
+0.00456759
+0.00586699
+0.00635182
+0.00730353
+0.00860661
+0.0101364
+0.0117097
+0.0133204
+0.015032
+0.0168549
+0.0187495
+0.0206648
+0.0224626
+0.0207109
+0.0190365
+0.017456
+0.0158461
+0.0142947
+0.0129195
+0.0117934
+0.0109934
+0.0105025
+0.00985793
+0.00949066
+0.00949837
+0.00979018
+0.0105242
+0.0116171
+0.0129875
+0.0145387
+0.0196786
+0.0184783
+0.0174602
+0.0166347
+0.0160409
+0.0157324
+0.0157259
+0.0159712
+0.0164989
+0.0172901
+0.0183106
+0.0195184
+0.0208606
+0.0223374
+0.0238237
+0.0253863
+0.0270274
+0.0286425
+0.0302895
+0.0319431
+0.0334707
+0.0350532
+0.0361993
+0.0365416
+0.0354049
+0.0343549
+0.033404
+0.0325728
+0.0318708
+0.0313066
+0.0308875
+0.0306119
+0.030479
+0.0304937
+0.0306654
+0.0300447
+0.0279803
+0.0259365
+0.0239086
+0.0219085
+0.0199447
+0.0180305
+0.0161261
+0.014087
+0.0120992
+0.0101666
+0.00828788
+0.00656565
+0.00514432
+0.00432808
+0.00408627
+0.00436903
+0.00518304
+0.00633388
+0.0059839
+0.00439611
+0.00281035
+0.00134195
+0.000314434
+-0.00124727
+-0.00273323
+-0.00416654
+-0.00405717
+-0.00329502
+-0.00267009
+-0.0018146
+-0.00033501
+0.000355752
+0.00152621
+0.00328774
+0.00526745
+0.00649105
+0.00705538
+0.00798929
+0.00923148
+0.0106705
+0.0121145
+0.0137021
+0.0153908
+0.0171757
+0.0190454
+0.0209774
+0.0228912
+0.02165
+0.0198343
+0.0181019
+0.0164789
+0.0149928
+0.0134878
+0.0120774
+0.0108142
+0.00984246
+0.00918875
+0.00891311
+0.00910495
+0.00961585
+0.0103827
+0.0114224
+0.0126224
+0.0140633
+0.021274
+0.020164
+0.0192295
+0.0184612
+0.017928
+0.0176525
+0.0176467
+0.01787
+0.0183431
+0.0190579
+0.0199883
+0.021106
+0.0223717
+0.0237547
+0.0252523
+0.0267628
+0.0283328
+0.029976
+0.0316455
+0.0332893
+0.0349841
+0.0365511
+0.0378831
+0.0380642
+0.0369684
+0.0359531
+0.0350455
+0.0342542
+0.0335874
+0.0330525
+0.0326562
+0.0324034
+0.0322877
+0.0323016
+0.0324636
+0.0304799
+0.0284471
+0.0264388
+0.0244465
+0.0224887
+0.0205779
+0.0187284
+0.0167576
+0.0147787
+0.0128447
+0.0109946
+0.00926088
+0.00773708
+0.00654619
+0.00589326
+0.00562819
+0.00580917
+0.00654722
+0.00760826
+0.00721848
+0.00549288
+0.00378969
+0.00235278
+0.00139454
+0.000286988
+-0.00121784
+-0.00227906
+-0.00210507
+-0.00164942
+-0.00166271
+-0.000395839
+0.000986053
+0.0016106
+0.00300281
+0.00453127
+0.00628647
+0.00737925
+0.0078617
+0.00876014
+0.00995154
+0.0113339
+0.0126533
+0.0141744
+0.0158044
+0.0175472
+0.0193812
+0.0212814
+0.0232101
+0.0218757
+0.0200221
+0.0182158
+0.016494
+0.014838
+0.0132627
+0.0117809
+0.0104898
+0.00949265
+0.00880941
+0.00856282
+0.00867565
+0.00916304
+0.00977619
+0.0108022
+0.0121085
+0.0136007
+0.0229676
+0.0219356
+0.0210598
+0.0203597
+0.0198775
+0.0196294
+0.0196242
+0.019829
+0.0202565
+0.0209059
+0.0217575
+0.0227885
+0.0239759
+0.0252827
+0.0266947
+0.0282063
+0.0297284
+0.0313036
+0.0329491
+0.0346463
+0.0363045
+0.0379936
+0.0396164
+0.0396494
+0.0385827
+0.037611
+0.0367444
+0.0359905
+0.0353564
+0.0348487
+0.034473
+0.0342337
+0.034047
+0.0326529
+0.03135
+0.0301502
+0.0290484
+0.0270689
+0.0251244
+0.0232238
+0.0213788
+0.0194689
+0.017503
+0.0155972
+0.0137763
+0.0120704
+0.0105107
+0.0091778
+0.00821898
+0.00766913
+0.00736162
+0.00752927
+0.00818559
+0.00901291
+0.00839698
+0.00670094
+0.00513288
+0.00377964
+0.00250206
+0.00144839
+0.000235879
+-0.000185884
+-0.000218455
+-0.000427089
+0.000155652
+0.00127808
+0.0022747
+0.00316191
+0.00449895
+0.00602025
+0.0076086
+0.00820944
+0.00870339
+0.00948117
+0.0106547
+0.0119436
+0.0133229
+0.0148371
+0.0164581
+0.0181382
+0.0199178
+0.0217713
+0.02366
+0.0219164
+0.0200901
+0.0183306
+0.0166225
+0.0149719
+0.0133575
+0.0118264
+0.0105086
+0.00939066
+0.0085179
+0.00806546
+0.00816399
+0.00874222
+0.00946839
+0.0104833
+0.0117794
+0.0132814
+0.0247222
+0.0237666
+0.0229524
+0.0223118
+0.0218727
+0.0216474
+0.0216427
+0.0218321
+0.0222211
+0.0228147
+0.0235975
+0.0245514
+0.0256573
+0.0268965
+0.0282335
+0.0296669
+0.0311883
+0.0327115
+0.0342896
+0.035932
+0.0376303
+0.0393325
+0.0410163
+0.0412773
+0.0402515
+0.0393211
+0.038493
+0.037774
+0.0371703
+0.0366878
+0.0359841
+0.0344055
+0.0328969
+0.0314519
+0.0300971
+0.0288452
+0.0277101
+0.0267069
+0.0258171
+0.02404
+0.0222628
+0.0203331
+0.0184595
+0.0166635
+0.0149625
+0.0133936
+0.0119817
+0.010831
+0.0100122
+0.00955528
+0.00925437
+0.00940823
+0.00992702
+0.0106045
+0.00969425
+0.00810591
+0.00666312
+0.00518765
+0.00389569
+0.00274093
+0.00182555
+0.00152109
+0.00138634
+0.0015451
+0.00217414
+0.00309436
+0.00379597
+0.0047796
+0.00606746
+0.0075166
+0.0089149
+0.009194
+0.00964871
+0.0103991
+0.0114332
+0.0126213
+0.0139354
+0.0154244
+0.0170184
+0.018732
+0.0205364
+0.0223967
+0.0239802
+0.0221074
+0.0202948
+0.0185426
+0.0168523
+0.0152397
+0.0135786
+0.0119728
+0.0105476
+0.00935895
+0.00848621
+0.00802457
+0.00812359
+0.00869199
+0.0093481
+0.0103702
+0.0116819
+0.0132104
+0.0265362
+0.0256482
+0.024894
+0.0243046
+0.0239021
+0.0236962
+0.0236919
+0.0238682
+0.0242245
+0.0247701
+0.025493
+0.0263784
+0.0274107
+0.028574
+0.0298529
+0.0312129
+0.0326624
+0.034191
+0.0357142
+0.0372939
+0.0389329
+0.0406238
+0.0423606
+0.0429532
+0.0419683
+0.0410768
+0.0402849
+0.0395984
+0.038433
+0.0366984
+0.035015
+0.0333906
+0.031834
+0.0303559
+0.0289559
+0.0276524
+0.0264662
+0.0254139
+0.0245024
+0.0234099
+0.0222166
+0.02118
+0.0195905
+0.0178914
+0.01631
+0.0148833
+0.013627
+0.0126275
+0.0119016
+0.0115157
+0.0112557
+0.0113826
+0.0117934
+0.0123595
+0.0111473
+0.00965916
+0.00815723
+0.00674139
+0.00540179
+0.00428027
+0.00348581
+0.00330814
+0.00339323
+0.00360025
+0.00424483
+0.00489817
+0.00551052
+0.00647516
+0.0076514
+0.0090709
+0.0101583
+0.0104863
+0.0108872
+0.011512
+0.0123587
+0.0133853
+0.014631
+0.0160799
+0.0176822
+0.019371
+0.0211398
+0.0229814
+0.0243292
+0.0224317
+0.0205925
+0.0188272
+0.0171114
+0.0155
+0.0138541
+0.0122606
+0.0108655
+0.0097396
+0.0087874
+0.00819899
+0.00806917
+0.00849848
+0.00905573
+0.0100629
+0.0114069
+0.0129677
+0.0284033
+0.0275755
+0.0268739
+0.0263289
+0.0259578
+0.0257683
+0.0257643
+0.0259296
+0.0262579
+0.0267621
+0.0274325
+0.0282572
+0.0292232
+0.030317
+0.0315253
+0.0328325
+0.0342134
+0.0356756
+0.0372093
+0.0387319
+0.0403125
+0.0419479
+0.043632
+0.0446736
+0.0437275
+0.0428726
+0.0413144
+0.0394658
+0.0376539
+0.0358827
+0.0341591
+0.0324919
+0.0308901
+0.0293645
+0.0279275
+0.0265868
+0.0253509
+0.0242503
+0.0232932
+0.0220314
+0.0207591
+0.0196493
+0.0187298
+0.0179816
+0.0174767
+0.0165062
+0.0153822
+0.0145042
+0.013877
+0.0135373
+0.0133169
+0.0134242
+0.0137051
+0.0141806
+0.0127014
+0.0111848
+0.00971302
+0.0082986
+0.00710077
+0.00606062
+0.00541449
+0.00527653
+0.00552831
+0.00572992
+0.00629494
+0.00674034
+0.0073727
+0.0082184
+0.00935373
+0.0106334
+0.0111114
+0.0114365
+0.0120161
+0.0125665
+0.0133927
+0.014405
+0.0156054
+0.0169714
+0.0184966
+0.0201406
+0.0218664
+0.023653
+0.0247273
+0.0228539
+0.0210217
+0.0192384
+0.0175396
+0.0158989
+0.0143008
+0.0126269
+0.0110838
+0.00978034
+0.0087705
+0.0081449
+0.00786198
+0.007983
+0.00851693
+0.00950794
+0.010838
+0.012412
+0.0303138
+0.0295396
+0.0288843
+0.0283778
+0.0280339
+0.0278585
+0.0278549
+0.0280105
+0.0283147
+0.0287829
+0.0294073
+0.0301781
+0.0310845
+0.0321149
+0.033258
+0.0345024
+0.0358313
+0.0372299
+0.0387021
+0.0402379
+0.0417614
+0.0433422
+0.0449741
+0.0464337
+0.044538
+0.0426117
+0.0407041
+0.0388265
+0.0369833
+0.0351799
+0.0334229
+0.0317193
+0.0300764
+0.0285072
+0.0270247
+0.0256438
+0.0243818
+0.0232353
+0.0222347
+0.0207788
+0.0194246
+0.0182337
+0.0172401
+0.016462
+0.0159089
+0.0156456
+0.0156754
+0.0159607
+0.0151452
+0.0145325
+0.0141866
+0.014155
+0.0144402
+0.015001
+0.0140807
+0.0127044
+0.0113008
+0.010029
+0.00885098
+0.0080095
+0.00748653
+0.00736896
+0.0076875
+0.00788667
+0.00814869
+0.00865053
+0.00930996
+0.0100807
+0.0111009
+0.012196
+0.0122309
+0.0125469
+0.0132043
+0.0137678
+0.0145288
+0.0155563
+0.0167386
+0.0180531
+0.0194939
+0.0210644
+0.0227376
+0.0244804
+0.0252391
+0.0233859
+0.0215898
+0.0198444
+0.0181122
+0.0163098
+0.0144962
+0.0127964
+0.011193
+0.00979075
+0.00863399
+0.007902
+0.00740006
+0.00743651
+0.00797235
+0.00896133
+0.0103087
+0.0119092
+0.0322599
+0.0315335
+0.0309191
+0.0304466
+0.0301263
+0.0299632
+0.0299597
+0.0301071
+0.0303903
+0.030827
+0.0314107
+0.0321335
+0.0329862
+0.033959
+0.035042
+0.0362251
+0.0374991
+0.0388457
+0.0402588
+0.0417391
+0.0432729
+0.0448003
+0.046381
+0.046048
+0.0440815
+0.0421343
+0.0402041
+0.038302
+0.0364322
+0.0346002
+0.0328121
+0.0310757
+0.0294
+0.027796
+0.026274
+0.0248514
+0.023547
+0.0223815
+0.0212517
+0.0196874
+0.0182524
+0.0169795
+0.0159077
+0.0150592
+0.0144525
+0.0141622
+0.0141981
+0.0145127
+0.0138423
+0.0131691
+0.0127889
+0.0127559
+0.0130332
+0.0136297
+0.0144893
+0.0142767
+0.0129732
+0.0117911
+0.0107454
+0.0100209
+0.00961135
+0.00949446
+0.00953634
+0.00980426
+0.0100714
+0.0105806
+0.0112624
+0.0120374
+0.0128862
+0.013255
+0.0133094
+0.0136917
+0.0143528
+0.0151667
+0.0158869
+0.0168299
+0.0179405
+0.0192239
+0.0206192
+0.0221111
+0.0236993
+0.025366
+0.0258943
+0.0240768
+0.0223256
+0.0204186
+0.0184682
+0.0165424
+0.014627
+0.0128002
+0.0111059
+0.00959409
+0.00836463
+0.00758193
+0.00716337
+0.00720453
+0.00773396
+0.00876617
+0.0101389
+0.011762
+0.0342356
+0.033552
+0.032974
+0.0325313
+0.0322317
+0.0320793
+0.0320761
+0.0322161
+0.032481
+0.0328899
+0.0334377
+0.0341175
+0.0349218
+0.0358421
+0.0368698
+0.0379961
+0.0392126
+0.040511
+0.0418723
+0.0432975
+0.0447845
+0.0463162
+0.0477117
+0.0457118
+0.0437301
+0.0417666
+0.0398186
+0.037897
+0.0360063
+0.0341514
+0.0323385
+0.0305752
+0.0288704
+0.0272353
+0.0256817
+0.0242243
+0.0228842
+0.021683
+0.0204223
+0.018789
+0.0172796
+0.0159291
+0.0147814
+0.0138622
+0.0132006
+0.0128821
+0.0129184
+0.0132634
+0.0127519
+0.0119853
+0.0115415
+0.0114582
+0.0117553
+0.0124156
+0.0133767
+0.0145768
+0.0145925
+0.0135547
+0.0127022
+0.0120282
+0.0115622
+0.0113322
+0.0114296
+0.0117462
+0.0120334
+0.0125384
+0.0131581
+0.0127444
+0.0124514
+0.0124965
+0.0129185
+0.0136668
+0.0146577
+0.0158906
+0.0171598
+0.0180876
+0.0192214
+0.020486
+0.0218211
+0.0232691
+0.024786
+0.0263842
+0.0266843
+0.0246808
+0.0226064
+0.0205561
+0.0185379
+0.0165636
+0.014651
+0.0128277
+0.0111375
+0.00963069
+0.00840657
+0.00760819
+0.00728267
+0.00731928
+0.00793993
+0.00895425
+0.0103399
+0.0119484
+0.036236
+0.0355908
+0.0350453
+0.0346291
+0.0343478
+0.0342048
+0.0342018
+0.0343354
+0.034584
+0.0349684
+0.0354841
+0.0361254
+0.036886
+0.0377585
+0.0387353
+0.0398089
+0.0409715
+0.0422159
+0.0435351
+0.0449086
+0.046344
+0.0478367
+0.0474885
+0.0454787
+0.0434864
+0.0415113
+0.0395507
+0.0376155
+0.0357099
+0.0338387
+0.0320082
+0.0302256
+0.0284999
+0.0268422
+0.0252644
+0.0237815
+0.0224149
+0.0211872
+0.0197841
+0.0180923
+0.0165183
+0.0150987
+0.0138813
+0.0129192
+0.0122073
+0.0118621
+0.0118897
+0.0122636
+0.0118056
+0.0109838
+0.0105222
+0.0104117
+0.0107378
+0.0114472
+0.012483
+0.0137722
+0.0152645
+0.0153689
+0.014532
+0.013887
+0.0134769
+0.0132768
+0.0133756
+0.0136985
+0.0140631
+0.0129678
+0.0119313
+0.0112315
+0.0109033
+0.010955
+0.0114341
+0.012275
+0.0133695
+0.0147108
+0.0162379
+0.0178876
+0.0195781
+0.0213459
+0.0229869
+0.0243814
+0.0258716
+0.0274559
+0.0269655
+0.0248886
+0.0228331
+0.0208051
+0.0188137
+0.0168717
+0.0149985
+0.0132231
+0.0115908
+0.0101133
+0.00891665
+0.00814451
+0.00784128
+0.00793855
+0.00852298
+0.00949521
+0.0108239
+0.0123914
+0.0382572
+0.0376465
+0.0371303
+0.0367377
+0.0364727
+0.0363381
+0.0363353
+0.036463
+0.0366974
+0.0370598
+0.0375468
+0.0381535
+0.0388744
+0.0397032
+0.0406333
+0.041658
+0.0427704
+0.0439639
+0.0452321
+0.0465671
+0.0479529
+0.0493957
+0.0473655
+0.0453503
+0.0433521
+0.0413706
+0.0394031
+0.0374602
+0.0355463
+0.033666
+0.0318255
+0.0300321
+0.0282946
+0.0266241
+0.0250326
+0.0235351
+0.0221533
+0.0209102
+0.0193438
+0.0176098
+0.0159883
+0.014517
+0.0132462
+0.0122343
+0.01148
+0.0111122
+0.0111417
+0.0115399
+0.0111806
+0.0103003
+0.00978026
+0.00967884
+0.0100288
+0.0108199
+0.0119091
+0.0132539
+0.0148021
+0.0164676
+0.0164121
+0.0158309
+0.015465
+0.0152881
+0.015374
+0.0147577
+0.0132096
+0.011848
+0.0107354
+0.00995182
+0.00960752
+0.00966612
+0.0102059
+0.0111092
+0.0123067
+0.0137511
+0.0153691
+0.0170758
+0.0188439
+0.0206745
+0.0225658
+0.0244761
+0.0263514
+0.0282686
+0.027332
+0.0252853
+0.0232648
+0.021278
+0.0193353
+0.0174515
+0.0156478
+0.0139507
+0.012357
+0.0109693
+0.00987691
+0.00917845
+0.00889314
+0.00900374
+0.00952318
+0.0104556
+0.0116814
+0.0131549
+0.0402962
+0.0397158
+0.0392268
+0.0388555
+0.038605
+0.0384778
+0.0384752
+0.0385968
+0.0388193
+0.0391621
+0.0396232
+0.0401986
+0.0408834
+0.0416723
+0.0425594
+0.0435388
+0.0446043
+0.04575
+0.04697
+0.0482586
+0.0496064
+0.0493748
+0.0473438
+0.0453276
+0.0433283
+0.0413457
+0.0393769
+0.0374327
+0.0355173
+0.0336354
+0.0317931
+0.0299978
+0.0282582
+0.0265854
+0.0249914
+0.0234913
+0.0221068
+0.0208609
+0.0191455
+0.0173918
+0.0157479
+0.0142518
+0.012955
+0.0119184
+0.0111428
+0.0107634
+0.0107938
+0.0112044
+0.0109199
+0.0100162
+0.00948059
+0.00937593
+0.00973676
+0.0105498
+0.0116836
+0.013051
+0.0146201
+0.0163329
+0.0175651
+0.0178321
+0.0175013
+0.0173429
+0.0157805
+0.0140686
+0.0124484
+0.0110186
+0.00982263
+0.0089596
+0.00857875
+0.00864588
+0.00924548
+0.0102319
+0.0115209
+0.0130526
+0.014746
+0.0165166
+0.0183433
+0.0202193
+0.0221462
+0.0241041
+0.0260642
+0.028001
+0.0278664
+0.025862
+0.0238903
+0.0219602
+0.0200837
+0.0182771
+0.0165492
+0.01491
+0.0134291
+0.0121643
+0.0111892
+0.0105679
+0.0102961
+0.0103965
+0.0108712
+0.0117032
+0.0128528
+0.0142109
+0.0423503
+0.0417974
+0.0413331
+0.0409808
+0.0407434
+0.040623
+0.0406204
+0.0407359
+0.0409484
+0.0412735
+0.0417113
+0.0422583
+0.0429103
+0.0436625
+0.04451
+0.0454473
+0.0464691
+0.04757
+0.0487444
+0.0499873
+0.0512937
+0.0494507
+0.0474221
+0.0454084
+0.0434116
+0.0414303
+0.039464
+0.0375227
+0.0356103
+0.0337317
+0.0318931
+0.0301015
+0.0283661
+0.0266977
+0.0251096
+0.0236183
+0.0222429
+0.0210065
+0.0191917
+0.0174435
+0.015806
+0.0143107
+0.0130108
+0.0119694
+0.0111966
+0.0108192
+0.0108296
+0.0112389
+0.0110151
+0.0101563
+0.00965641
+0.00951549
+0.00987122
+0.0106741
+0.0118314
+0.0131967
+0.0147503
+0.0164496
+0.0176744
+0.0187846
+0.019204
+0.0172801
+0.0154272
+0.0136711
+0.0120043
+0.0105251
+0.00931783
+0.00840312
+0.00800008
+0.00809785
+0.00873514
+0.00977579
+0.0111178
+0.0126982
+0.0144318
+0.016236
+0.0180959
+0.0199951
+0.0219383
+0.0239132
+0.0259228
+0.0279034
+0.0285471
+0.0265941
+0.024681
+0.0228179
+0.021018
+0.0192941
+0.0176385
+0.0161106
+0.0147507
+0.0136093
+0.0127392
+0.0121802
+0.0119386
+0.0120226
+0.0124542
+0.0131988
+0.014228
+0.0155004
+0.0444175
+0.0438897
+0.0434478
+0.0431128
+0.0428872
+0.0427727
+0.0427704
+0.04288
+0.0430837
+0.0433928
+0.0438095
+0.0443306
+0.0449525
+0.0456711
+0.046482
+0.0473803
+0.0483613
+0.04942
+0.0505515
+0.051751
+0.0516415
+0.0496054
+0.0475831
+0.0455763
+0.0435873
+0.0416142
+0.0396571
+0.0377257
+0.0358241
+0.0339574
+0.0321316
+0.0303542
+0.028634
+0.0269822
+0.025412
+0.0239394
+0.0225837
+0.0212525
+0.019443
+0.0177197
+0.0161103
+0.014646
+0.0133787
+0.0123683
+0.0116221
+0.0112589
+0.011269
+0.0116629
+0.0114863
+0.0106542
+0.0101587
+0.010105
+0.0104407
+0.0112028
+0.0123105
+0.013629
+0.0151493
+0.0168182
+0.01805
+0.0191386
+0.0191667
+0.0172387
+0.0153808
+0.0136188
+0.0119447
+0.0104571
+0.00924087
+0.0083177
+0.00791031
+0.00801649
+0.00865978
+0.00973383
+0.0110792
+0.0126628
+0.0143965
+0.0161963
+0.0180819
+0.0200097
+0.021948
+0.0239222
+0.0259311
+0.0279673
+0.0293704
+0.027476
+0.0256288
+0.0238399
+0.0221146
+0.020472
+0.0189198
+0.0175041
+0.0162611
+0.0152333
+0.0144542
+0.0139455
+0.0137349
+0.0138056
+0.0141996
+0.0148622
+0.0157885
+0.0169441
+0.046496
+0.0459912
+0.0455696
+0.0452503
+0.0450354
+0.0449265
+0.0449242
+0.0450286
+0.0452243
+0.0455189
+0.0459163
+0.0464137
+0.0470081
+0.0476958
+0.0484728
+0.0493349
+0.0502777
+0.0512969
+0.0523878
+0.0535463
+0.0518818
+0.0498556
+0.0478438
+0.0458485
+0.0438718
+0.041912
+0.0399694
+0.0380539
+0.0361696
+0.0343217
+0.0325163
+0.0307611
+0.0290651
+0.0274392
+0.0258967
+0.0244534
+0.0231278
+0.021702
+0.0199333
+0.0182564
+0.0166988
+0.0152909
+0.0140818
+0.0131106
+0.0124081
+0.0120679
+0.0120792
+0.0124477
+0.0123015
+0.0115247
+0.0110682
+0.01103
+0.0113799
+0.0120829
+0.0131164
+0.0143846
+0.0158325
+0.0174361
+0.0186666
+0.0197258
+0.0193526
+0.0174458
+0.0156063
+0.0138692
+0.0122541
+0.0107986
+0.00962577
+0.00879512
+0.00841088
+0.00851083
+0.0091193
+0.010142
+0.0114421
+0.0129816
+0.0146779
+0.0164469
+0.0183068
+0.020233
+0.0221753
+0.0241308
+0.0261237
+0.028146
+0.0301793
+0.0284993
+0.0267201
+0.0249986
+0.0233558
+0.021807
+0.0203568
+0.0190482
+0.0179127
+0.0169801
+0.0162837
+0.0158175
+0.015631
+0.0156922
+0.0160533
+0.0166434
+0.0174848
+0.0185349
+0.0485844
+0.0481006
+0.0476977
+0.0473927
+0.0471876
+0.0470836
+0.0470814
+0.0471811
+0.0473695
+0.0476508
+0.0480306
+0.0485063
+0.0490754
+0.0497345
+0.0504801
+0.0513085
+0.0522157
+0.0531977
+0.0542505
+0.0542397
+0.052213
+0.0502002
+0.0482028
+0.0462229
+0.044263
+0.0423212
+0.0403983
+0.0385041
+0.036643
+0.0348202
+0.0330421
+0.0313164
+0.0296521
+0.0280603
+0.0265539
+0.0251483
+0.0238613
+0.0223556
+0.0206429
+0.0190286
+0.0175398
+0.0162085
+0.0150498
+0.0141057
+0.0134553
+0.0131422
+0.0131531
+0.0134922
+0.0134091
+0.0126828
+0.0122643
+0.0122298
+0.0125826
+0.0132251
+0.0141755
+0.0153759
+0.0167746
+0.018297
+0.019499
+0.0205153
+0.0197594
+0.017896
+0.016108
+0.0144314
+0.0129012
+0.0115281
+0.0104368
+0.00968239
+0.00933475
+0.00945311
+0.0100044
+0.0109435
+0.0121701
+0.01363
+0.0152656
+0.0169789
+0.0187862
+0.0206677
+0.022605
+0.0245341
+0.0264967
+0.0284925
+0.0305151
+0.0296418
+0.0279285
+0.0262863
+0.0247292
+0.0232719
+0.0219189
+0.0207092
+0.0196698
+0.018819
+0.0181909
+0.0177625
+0.0175948
+0.0176492
+0.0179725
+0.0185128
+0.0192763
+0.0202381
+0.0506814
+0.0502169
+0.0498312
+0.0495393
+0.0493431
+0.0492437
+0.0492416
+0.0493369
+0.0495187
+0.0497879
+0.0501514
+0.0506072
+0.0511529
+0.0517856
+0.0525021
+0.0532991
+0.054173
+0.0551201
+0.0561369
+0.0546445
+0.0526334
+0.0506373
+0.0486578
+0.0466973
+0.0447581
+0.0428387
+0.0409401
+0.0390722
+0.0372394
+0.0354473
+0.0337024
+0.0320123
+0.0303861
+0.0288349
+0.0273711
+0.0260097
+0.0247675
+0.0231608
+0.0215124
+0.0199685
+0.0185552
+0.0173046
+0.0162227
+0.015351
+0.0147555
+0.0144706
+0.0144809
+0.0147897
+0.0147124
+0.0140537
+0.0136771
+0.0136462
+0.0139633
+0.0146031
+0.0154707
+0.0165808
+0.0178883
+0.0193562
+0.0205041
+0.0214737
+0.0203946
+0.0185951
+0.0168812
+0.0152897
+0.0138589
+0.0125918
+0.0115946
+0.0109205
+0.0106135
+0.0107177
+0.011207
+0.0120528
+0.0132047
+0.014574
+0.0160919
+0.0177462
+0.0194811
+0.0213
+0.0231833
+0.0250968
+0.027028
+0.0289961
+0.0309902
+0.0308913
+0.0292513
+0.0276876
+0.0262139
+0.0248439
+0.0235812
+0.0224612
+0.0215023
+0.0207264
+0.0201456
+0.0197591
+0.0196068
+0.0196556
+0.0199464
+0.020446
+0.0211398
+0.0220277
+0.052786
+0.0523364
+0.0519664
+0.0516866
+0.0514986
+0.0514033
+0.0514014
+0.0514927
+0.0516713
+0.0519294
+0.052278
+0.0527155
+0.0532395
+0.0538477
+0.0545371
+0.0553048
+0.0561475
+0.0570619
+0.0571405
+0.0551334
+0.0531409
+0.0511645
+0.0492063
+0.0472685
+0.0453537
+0.0434605
+0.0415904
+0.039753
+0.0379532
+0.0361964
+0.0344894
+0.0328398
+0.0312567
+0.0297509
+0.0283345
+0.0270217
+0.0258052
+0.0241386
+0.0225617
+0.0210947
+0.0197622
+0.018593
+0.0175914
+0.0167908
+0.0162482
+0.0159899
+0.0159997
+0.0162797
+0.0161993
+0.0156126
+0.0152745
+0.0152469
+0.0155313
+0.0161113
+0.0169283
+0.0179515
+0.0191715
+0.0205532
+0.0216453
+0.022566
+0.0212379
+0.0195162
+0.0178909
+0.0163976
+0.0150723
+0.0139161
+0.0130208
+0.0124061
+0.0121367
+0.012238
+0.0126687
+0.0134304
+0.0144731
+0.0157324
+0.0171481
+0.018709
+0.020362
+0.0221086
+0.0239283
+0.0258058
+0.0277034
+0.0296266
+0.0315848
+0.0322414
+0.0306737
+0.0291863
+0.0277921
+0.0265038
+0.025324
+0.0242845
+0.023396
+0.022685
+0.022144
+0.0217929
+0.0216534
+0.0216976
+0.0219614
+0.0224266
+0.0230609
+0.0238801
+0.0548973
+0.0544616
+0.0541061
+0.0538374
+0.053657
+0.0535655
+0.0535636
+0.0536512
+0.0538271
+0.0540748
+0.0544097
+0.0548302
+0.0553342
+0.0559196
+0.0565838
+0.057324
+0.0581375
+0.059021
+0.0576915
+0.0557043
+0.0537329
+0.0517792
+0.0498451
+0.0479331
+0.046046
+0.0441824
+0.0423441
+0.0405409
+0.0387777
+0.03706
+0.0353947
+0.0337893
+0.0322529
+0.0307956
+0.0294285
+0.0281658
+0.0268629
+0.0252661
+0.0237642
+0.0223762
+0.0211246
+0.020031
+0.0190824
+0.0183475
+0.0178528
+0.0176185
+0.0176321
+0.0178864
+0.0178296
+0.0172886
+0.0169839
+0.016959
+0.0172152
+0.0177402
+0.0185044
+0.0194449
+0.0205765
+0.0218696
+0.0229395
+0.0238102
+0.0222655
+0.0206298
+0.0190994
+0.0177084
+0.0164806
+0.0154292
+0.0146307
+0.0140717
+0.0138348
+0.0139308
+0.0143106
+0.0150027
+0.0159333
+0.0170744
+0.0184055
+0.0198677
+0.0214315
+0.0230973
+0.0248447
+0.0266577
+0.0285238
+0.0304023
+0.0322951
+0.03368
+0.0321824
+0.030768
+0.0294488
+0.028236
+0.0271258
+0.0261505
+0.0253275
+0.0246722
+0.0241758
+0.0238546
+0.0237258
+0.0237662
+0.0240072
+0.0244421
+0.0250264
+0.0257832
+0.0570146
+0.0565918
+0.0562497
+0.0559913
+0.0558178
+0.0557299
+0.0557281
+0.0558123
+0.0559822
+0.0562238
+0.0565459
+0.0569506
+0.057436
+0.0580002
+0.0586408
+0.0593555
+0.0601414
+0.0603003
+0.0583197
+0.0563546
+0.0544068
+0.0524781
+0.0505708
+0.0486873
+0.0468306
+0.0449994
+0.0431959
+0.0414298
+0.039706
+0.0380304
+0.0364094
+0.0348502
+0.0333618
+0.0319544
+0.0306392
+0.0294284
+0.0280489
+0.0265236
+0.025097
+0.0237869
+0.0226136
+0.0215654
+0.0206872
+0.0200114
+0.0195588
+0.0193452
+0.0193584
+0.0195903
+0.0195697
+0.019063
+0.0187871
+0.0187647
+0.0189965
+0.0194735
+0.0201784
+0.0210606
+0.0221097
+0.0233179
+0.0243623
+0.0250879
+0.0234461
+0.0219005
+0.0204717
+0.0191778
+0.0180181
+0.0170617
+0.0163446
+0.0158654
+0.0156557
+0.0157386
+0.0160758
+0.016696
+0.0175336
+0.0185767
+0.019808
+0.0211901
+0.0226628
+0.0242442
+0.0259144
+0.0276574
+0.0294602
+0.0312949
+0.0331058
+0.034486
+0.0337659
+0.0324207
+0.0311715
+0.0300154
+0.0289718
+0.0280607
+0.0272954
+0.0266885
+0.026228
+0.0259322
+0.0258178
+0.0258549
+0.0260766
+0.0264784
+0.0270265
+0.0277288
+0.0591353
+0.0587263
+0.0583968
+0.058148
+0.0579809
+0.0578963
+0.0578946
+0.0579756
+0.0581392
+0.0583758
+0.0586862
+0.0590762
+0.0595443
+0.0600887
+0.0607072
+0.0613978
+0.062158
+0.0609803
+0.0590225
+0.0570816
+0.0551595
+0.0532581
+0.0513797
+0.049527
+0.047703
+0.0459065
+0.0441401
+0.0424133
+0.040731
+0.0390985
+0.037523
+0.0360118
+0.0345735
+0.0332175
+0.0319543
+0.0307952
+0.0293507
+0.0278967
+0.026544
+0.0253089
+0.0241908
+0.0232054
+0.0223916
+0.0217687
+0.0213534
+0.0211579
+0.0211707
+0.021383
+0.0213902
+0.0209165
+0.0206654
+0.0206449
+0.0208559
+0.0212913
+0.0219379
+0.0227726
+0.0237462
+0.0248751
+0.0258924
+0.0263132
+0.0247528
+0.023294
+0.0219573
+0.0207471
+0.0196798
+0.018808
+0.01816
+0.0177309
+0.0175435
+0.0176064
+0.0179084
+0.0184672
+0.0192506
+0.0202052
+0.0213427
+0.0226357
+0.0240311
+0.0255279
+0.0271192
+0.0287893
+0.0305253
+0.0322799
+0.0340385
+0.0352691
+0.0354142
+0.034134
+0.0329428
+0.0318445
+0.0308628
+0.0300092
+0.0292949
+0.0287302
+0.0282952
+0.0280213
+0.0279172
+0.0279592
+0.0281643
+0.0285367
+0.0290541
+0.0297085
+0.0612596
+0.0608649
+0.060547
+0.0603071
+0.060146
+0.0600645
+0.0600628
+0.0601409
+0.0602986
+0.0605306
+0.06083
+0.0612063
+0.0616583
+0.0621841
+0.0627821
+0.0634501
+0.0636805
+0.0617306
+0.0597973
+0.0578825
+0.0559878
+0.0541155
+0.052268
+0.050448
+0.0486585
+0.0468985
+0.0451704
+0.0434839
+0.0418441
+0.0402568
+0.0387284
+0.0372662
+0.0358782
+0.0345734
+0.0333615
+0.0322277
+0.0307536
+0.0293691
+0.0280875
+0.0269168
+0.0258498
+0.0249301
+0.0241745
+0.0235987
+0.0232161
+0.0230365
+0.0230489
+0.023244
+0.0232626
+0.0228298
+0.0225999
+0.0225813
+0.0227743
+0.0231737
+0.0237691
+0.0245463
+0.0254661
+0.0265219
+0.027512
+0.027658
+0.0261778
+0.0248031
+0.0235521
+0.0224206
+0.0214367
+0.0206392
+0.0200505
+0.0196516
+0.0194827
+0.0195413
+0.0198139
+0.0203204
+0.0210438
+0.0219294
+0.0229817
+0.0241872
+0.0254964
+0.0269121
+0.0284263
+0.0300241
+0.0316929
+0.0333721
+0.0350759
+0.036168
+0.0371186
+0.035899
+0.034756
+0.0337168
+0.0327912
+0.0319891
+0.03132
+0.0307889
+0.0303798
+0.0301249
+0.030028
+0.0300758
+0.0302666
+0.0306134
+0.0311038
+0.0317159
+0.0633884
+0.0630071
+0.0627001
+0.0624684
+0.0623129
+0.0622342
+0.0622326
+0.062308
+0.0624602
+0.0626879
+0.062977
+0.0633406
+0.0637774
+0.064286
+0.0648646
+0.0655113
+0.0644738
+0.0625486
+0.0606415
+0.0587541
+0.0568885
+0.0550469
+0.0532317
+0.0514457
+0.0496922
+0.0479686
+0.0462804
+0.0446359
+0.04304
+0.0414985
+0.0400175
+0.0386042
+0.037266
+0.0360115
+0.0348497
+0.0336533
+0.0322445
+0.0309268
+0.0297124
+0.0285856
+0.0275832
+0.0267232
+0.0260197
+0.0254856
+0.0251318
+0.0249659
+0.024978
+0.0251582
+0.0251792
+0.0247891
+0.0245775
+0.0245604
+0.0247379
+0.0251061
+0.0256568
+0.0263784
+0.0272537
+0.0282427
+0.0292062
+0.0291057
+0.027703
+0.0264078
+0.0252365
+0.0241768
+0.0232673
+0.0225347
+0.0219949
+0.0216237
+0.0214703
+0.0215254
+0.0217731
+0.022235
+0.022898
+0.0237135
+0.02469
+0.0258158
+0.0270428
+0.0283815
+0.0298212
+0.031348
+0.0329497
+0.0345679
+0.0361879
+0.0371745
+0.0382542
+0.0376973
+0.0366105
+0.0356255
+0.0347508
+0.0339949
+0.033366
+0.0328614
+0.0324784
+0.03224
+0.0321495
+0.0321978
+0.0323761
+0.0327006
+0.0331665
+0.0337425
+0.0655213
+0.0651525
+0.0648556
+0.0646317
+0.0644814
+0.0644053
+0.0644038
+0.0644766
+0.0646238
+0.0648446
+0.065127
+0.0654786
+0.0659013
+0.0663935
+0.0669539
+0.0672478
+0.0653309
+0.0634318
+0.061552
+0.0596935
+0.0578582
+0.0560484
+0.0542667
+0.052516
+0.0507985
+0.04911
+0.0474623
+0.0458602
+0.0443085
+0.0428126
+0.0413788
+0.0400135
+0.0387241
+0.0375184
+0.0363997
+0.0351577
+0.0338116
+0.0325574
+0.0313887
+0.0303208
+0.0293777
+0.0285718
+0.0279149
+0.0274178
+0.0270892
+0.0269354
+0.0269471
+0.0271142
+0.0271374
+0.0267842
+0.0265886
+0.0265727
+0.0267369
+0.0270779
+0.0275892
+0.0282615
+0.0290837
+0.0300248
+0.0309628
+0.0306418
+0.0293127
+0.0280917
+0.0269923
+0.0259991
+0.0251555
+0.0244796
+0.0239748
+0.0236343
+0.023494
+0.023546
+0.0237727
+0.0241965
+0.0248037
+0.0255585
+0.0264689
+0.0275221
+0.0286733
+0.0299391
+0.0313073
+0.0327649
+0.0343005
+0.0358578
+0.0373227
+0.0382801
+0.0393305
+0.0395352
+0.0385004
+0.0375649
+0.0367364
+0.0360222
+0.0354293
+0.0349482
+0.0345883
+0.0343646
+0.0342797
+0.0343259
+0.0344932
+0.0347979
+0.0352364
+0.0357854
+0.0676579
+0.0673008
+0.0670134
+0.0667967
+0.0666514
+0.0665778
+0.0665762
+0.0666467
+0.0667891
+0.0670028
+0.0672795
+0.06762
+0.0680294
+0.0685063
+0.0690496
+0.0681405
+0.0662495
+0.0643774
+0.0625261
+0.0606974
+0.0588934
+0.0571164
+0.0553691
+0.0536491
+0.0519607
+0.0503111
+0.0487041
+0.0471442
+0.0456362
+0.0441853
+0.0427974
+0.0414789
+0.0402365
+0.0390747
+0.0379993
+0.0367312
+0.0354449
+0.0342427
+0.033122
+0.0321118
+0.0312228
+0.0304657
+0.0298506
+0.0293862
+0.0290799
+0.0289367
+0.0289481
+0.0291037
+0.0291287
+0.0288078
+0.028626
+0.0286112
+0.0287638
+0.0290811
+0.0295577
+0.0301862
+0.0309573
+0.0318579
+0.0327717
+0.0322536
+0.0309937
+0.0298416
+0.0288003
+0.0278721
+0.0270887
+0.0264628
+0.0259882
+0.0256744
+0.0255453
+0.0255947
+0.0258034
+0.0261943
+0.0267519
+0.0274474
+0.0282953
+0.0292828
+0.0303743
+0.031572
+0.0328723
+0.0342634
+0.0357347
+0.037232
+0.0385486
+0.0394763
+0.0404968
+0.0414075
+0.0404206
+0.0395306
+0.0387441
+0.0380677
+0.0375071
+0.0370471
+0.0367078
+0.0364971
+0.0364171
+0.0364613
+0.0366189
+0.0369061
+0.0373199
+0.0378448
+0.0697979
+0.0694518
+0.0691734
+0.0689634
+0.0688226
+0.0687514
+0.0687499
+0.0688182
+0.068956
+0.069163
+0.0694345
+0.0697645
+0.0701613
+0.0706239
+0.0709741
+0.0690912
+0.0672269
+0.0653829
+0.0635608
+0.0617627
+0.0599908
+0.0582465
+0.0565257
+0.0548383
+0.0531877
+0.0515773
+0.0500111
+0.0484932
+0.0470284
+0.0456219
+0.0442791
+0.043006
+0.0418082
+0.0406871
+0.0396554
+0.0383652
+0.0371343
+0.0359712
+0.034906
+0.0339489
+0.0331093
+0.0323963
+0.0318185
+0.0313832
+0.0310966
+0.0309627
+0.0309748
+0.0311203
+0.0311468
+0.0308535
+0.0306845
+0.0306708
+0.0308131
+0.0311095
+0.0315555
+0.032145
+0.0328702
+0.0337223
+0.0346248
+0.0339294
+0.032734
+0.0316453
+0.0306512
+0.0297808
+0.0290499
+0.0284692
+0.0280282
+0.0277375
+0.0276181
+0.0276652
+0.0278584
+0.028219
+0.028712
+0.0293606
+0.0301547
+0.0310832
+0.0321345
+0.0332691
+0.0345054
+0.0358332
+0.0372314
+0.0386673
+0.0398574
+0.0407553
+0.0417456
+0.0428067
+0.0423671
+0.0415188
+0.0407707
+0.0401284
+0.0395955
+0.039156
+0.0388351
+0.038636
+0.0385605
+0.038603
+0.0387519
+0.0390234
+0.0394149
+0.0399183
+0.0719409
+0.0716051
+0.0713351
+0.0711316
+0.0709951
+0.070926
+0.0709246
+0.0709907
+0.0711244
+0.0713251
+0.0715916
+0.0719117
+0.0722967
+0.0727458
+0.071954
+0.0700974
+0.0682606
+0.0664453
+0.0646532
+0.0628864
+0.0611422
+0.0594245
+0.0577388
+0.0560879
+0.0544752
+0.052904
+0.0513782
+0.0499019
+0.0484798
+0.0471165
+0.0458175
+0.0445884
+0.0434295
+0.0423514
+0.0413115
+0.0400525
+0.0388561
+0.0377452
+0.0367315
+0.0358232
+0.0350285
+0.0343554
+0.0338111
+0.0334018
+0.0331327
+0.033007
+0.0330201
+0.0331566
+0.0331868
+0.0329117
+0.0327602
+0.0327473
+0.0328807
+0.0331586
+0.0335774
+0.034132
+0.0348158
+0.0356214
+0.0365152
+0.0356533
+0.0345177
+0.0334863
+0.0325444
+0.031726
+0.0310408
+0.030498
+0.0300893
+0.0298188
+0.0297077
+0.0297314
+0.0299115
+0.0302423
+0.0307028
+0.0313102
+0.0320561
+0.032931
+0.0339251
+0.035021
+0.0361976
+0.0374654
+0.0387832
+0.0401637
+0.0412333
+0.0421018
+0.0430644
+0.0440989
+0.0443363
+0.0435265
+0.0428135
+0.0422023
+0.0416907
+0.0412734
+0.0409691
+0.0407805
+0.0407089
+0.0407499
+0.0408909
+0.0411483
+0.0415198
+0.0420023
+0.0740867
+0.0737607
+0.0734986
+0.0733011
+0.0731686
+0.0731016
+0.0731002
+0.0731644
+0.0732941
+0.0734889
+0.0737482
+0.0740615
+0.0744354
+0.0748357
+0.0729866
+0.0711569
+0.0693482
+0.0675621
+0.0657996
+0.0640569
+0.0623425
+0.0606587
+0.0590083
+0.057394
+0.055819
+0.0542867
+0.0528009
+0.0513655
+0.049985
+0.048664
+0.0474074
+0.046217
+0.045099
+0.0440617
+0.0429925
+0.0417716
+0.0406223
+0.039561
+0.038595
+0.0377316
+0.036978
+0.036341
+0.0358269
+0.0354409
+0.0351873
+0.035069
+0.0350814
+0.0352099
+0.0352449
+0.034986
+0.0348466
+0.0348345
+0.0349599
+0.0352214
+0.035616
+0.0361393
+0.0367858
+0.0375492
+0.0384112
+0.0374256
+0.0363454
+0.0353634
+0.0344728
+0.0337012
+0.0330571
+0.0325479
+0.0321677
+0.0319147
+0.0317849
+0.0318028
+0.0319712
+0.0322868
+0.0327192
+0.0332898
+0.0339923
+0.0348186
+0.0357602
+0.0368083
+0.0379407
+0.0391346
+0.0403943
+0.0417216
+0.0426695
+0.0435094
+0.0444415
+0.04546
+0.0463255
+0.045551
+0.0448702
+0.0442874
+0.0437952
+0.0433981
+0.0431089
+0.0429296
+0.0428616
+0.0429012
+0.0430352
+0.0432798
+0.0436332
+0.0440927
+0.076235
+0.0759183
+0.0756637
+0.0754718
+0.0753432
+0.0752781
+0.0752767
+0.0753391
+0.075465
+0.0756542
+0.0759062
+0.0762136
+0.076577
+0.0758922
+0.0740696
+0.0722673
+0.0704871
+0.0687263
+0.0669881
+0.0652771
+0.0635956
+0.0619459
+0.0603306
+0.0587527
+0.0572151
+0.0557212
+0.0542747
+0.0528794
+0.0515394
+0.0502592
+0.0490417
+0.0478895
+0.0468116
+0.0458131
+0.0447112
+0.0435297
+0.0424281
+0.0414131
+0.0404913
+0.0396692
+0.0389531
+0.0383489
+0.0378621
+0.0374971
+0.0372575
+0.0371458
+0.0371574
+0.0372788
+0.0373181
+0.0370736
+0.0369403
+0.0369289
+0.0370472
+0.0372941
+0.037667
+0.0381621
+0.0387749
+0.0394999
+0.0403301
+0.0392401
+0.0382113
+0.0372747
+0.0364309
+0.0357016
+0.0350942
+0.034615
+0.0342443
+0.033997
+0.0338724
+0.0338892
+0.0340473
+0.0343447
+0.0347561
+0.0352936
+0.0359567
+0.0367386
+0.0376319
+0.0386289
+0.0397057
+0.0408422
+0.0420578
+0.0433342
+0.0441677
+0.0449796
+0.0458819
+0.0468692
+0.0479314
+0.0475903
+0.046939
+0.0463822
+0.0459077
+0.0455291
+0.0452534
+0.0450827
+0.045018
+0.0450563
+0.0451839
+0.045417
+0.0457538
+0.0461922
+0.0783857
+0.0780777
+0.0778301
+0.0776436
+0.0775186
+0.0774553
+0.077454
+0.0775146
+0.077637
+0.0778209
+0.0780659
+0.0783678
+0.0787213
+0.0769967
+0.0752008
+0.0734255
+0.0716673
+0.0699336
+0.0682262
+0.066547
+0.0648984
+0.0632827
+0.0617025
+0.0601605
+0.0586598
+0.0572037
+0.0557956
+0.0544393
+0.0531387
+0.0518977
+0.0507157
+0.0496025
+0.0485625
+0.0476008
+0.0464618
+0.0453255
+0.0442686
+0.0432968
+0.042416
+0.0416319
+0.0409501
+0.0403759
+0.0399137
+0.0395676
+0.0393407
+0.0392349
+0.0392459
+0.0393608
+0.039404
+0.0391725
+0.0390447
+0.0390338
+0.0391458
+0.0393795
+0.0397328
+0.0402026
+0.0407847
+0.0414746
+0.0421638
+0.0410914
+0.04011
+0.0392153
+0.038414
+0.0377232
+0.0371488
+0.03668
+0.0363265
+0.0360895
+0.0359721
+0.035988
+0.0361369
+0.0364173
+0.0368047
+0.0373124
+0.0379401
+0.0386818
+0.0395311
+0.0404813
+0.0415055
+0.042594
+0.0437652
+0.0449956
+0.0457217
+0.0465066
+0.0473797
+0.0483365
+0.049365
+0.0496424
+0.0490185
+0.048485
+0.0480273
+0.0476655
+0.0474022
+0.0472393
+0.0471775
+0.0472147
+0.0473365
+0.047559
+0.0478808
+0.0482999
+0.0805386
+0.0802388
+0.0799979
+0.0798165
+0.0796949
+0.0796333
+0.0796321
+0.079691
+0.0798101
+0.079989
+0.0802274
+0.0805241
+0.0799367
+0.0781469
+0.0763741
+0.0746211
+0.0728918
+0.0711879
+0.0695113
+0.0678639
+0.0662481
+0.0646661
+0.0631205
+0.0616141
+0.0601497
+0.0587305
+0.0573599
+0.0560414
+0.0547789
+0.053572
+0.0524279
+0.0513517
+0.0503479
+0.0494134
+0.048248
+0.0471548
+0.0461398
+0.0452082
+0.0443653
+0.0436163
+0.0429661
+0.0424191
+0.0419794
+0.0416505
+0.041435
+0.0413346
+0.041345
+0.0414541
+0.0415007
+0.041281
+0.041158
+0.0411478
+0.041254
+0.0414758
+0.0418114
+0.0422581
+0.0428123
+0.04347
+0.0440011
+0.0429745
+0.0420372
+0.0411809
+0.0404187
+0.0397627
+0.0392092
+0.0387551
+0.0384207
+0.038193
+0.0380822
+0.0380972
+0.0382379
+0.0385028
+0.0388681
+0.0393492
+0.0399449
+0.04065
+0.041459
+0.042366
+0.0433414
+0.0443849
+0.04551
+0.0466582
+0.0473262
+0.0480849
+0.0489299
+0.0498569
+0.0508493
+0.0517059
+0.0511072
+0.0505919
+0.0501529
+0.0498066
+0.0495547
+0.0493988
+0.0493398
+0.0493759
+0.0494924
+0.0497052
+0.0500132
+0.0504146
+0.0826934
+0.0824015
+0.082167
+0.0819903
+0.0818719
+0.081812
+0.0818108
+0.0818682
+0.0819841
+0.0821583
+0.0823903
+0.0826798
+0.0811036
+0.0793341
+0.0775861
+0.0758611
+0.0741607
+0.0724867
+0.0708408
+0.0692251
+0.0676418
+0.0660932
+0.0645818
+0.0631102
+0.0616813
+0.0602982
+0.0589641
+0.0576823
+0.0564538
+0.0552825
+0.0541745
+0.0531337
+0.0521642
+0.051191
+0.0500663
+0.0490137
+0.0480379
+0.0471439
+0.0463363
+0.0456196
+0.0449983
+0.0444763
+0.0440572
+0.0437439
+0.0435388
+0.0434432
+0.0434532
+0.043557
+0.0436066
+0.0433976
+0.0432791
+0.0432693
+0.0433703
+0.0435814
+0.0439009
+0.0443265
+0.0448552
+0.0454833
+0.0458694
+0.0448856
+0.043989
+0.0431682
+0.0424417
+0.0418123
+0.0412709
+0.0408399
+0.0405229
+0.0403058
+0.0402008
+0.040215
+0.0403483
+0.0405992
+0.0409447
+0.0414017
+0.0419682
+0.0426399
+0.0434119
+0.0442772
+0.0452088
+0.0462102
+0.0472919
+0.0483309
+0.0489762
+0.0497096
+0.0505275
+0.0514257
+0.0523832
+0.0533954
+0.0532041
+0.0527051
+0.0522839
+0.0519518
+0.0517104
+0.051561
+0.0515045
+0.0515396
+0.0516512
+0.0518552
+0.0521505
+0.0525355
+0.0888308
+0.0874556
+0.0861099
+0.0847744
+0.0834117
+0.0820841
+0.0807489
+0.0794517
+0.0781724
+0.0768599
+0.0755882
+0.0743593
+0.0731753
+0.0720346
+0.0708883
+0.0697714
+0.0686673
+0.0675736
+0.0665129
+0.0653961
+0.0643122
+0.0632856
+0.0623139
+0.0613321
+0.0603858
+0.0594887
+0.0586591
+0.0579005
+0.0571626
+0.0563854
+0.0555892
+0.0548689
+0.054164
+0.0535345
+0.0529565
+0.0524322
+0.0519876
+0.0516116
+0.0512925
+0.0510494
+0.0508978
+0.0506345
+0.0504081
+0.050264
+0.0501687
+0.0500958
+0.0500937
+0.0501657
+0.0503175
+0.0505605
+0.0508903
+0.0512818
+0.0517631
+0.0523317
+0.0529814
+0.0536815
+0.0544545
+0.0552755
+0.0561541
+0.0563609
+0.0551804
+0.054063
+0.0530126
+0.0520333
+0.0511292
+0.0503043
+0.0495625
+0.0489077
+0.0483434
+0.0478727
+0.0474986
+0.0472232
+0.0470483
+0.046975
+0.0470032
+0.0471146
+0.0473269
+0.0476391
+0.0480492
+0.0485548
+0.0491529
+0.0498338
+0.0505885
+0.0514157
+0.0522602
+0.0531666
+0.0541441
+0.0551912
+0.0563042
+0.0574791
+0.0587123
+0.0599692
+0.0612483
+0.0625755
+0.0639438
+0.0653366
+0.066731
+0.0681672
+0.0696327
+0.0711324
+0.0871814
+0.0858014
+0.0844294
+0.0830925
+0.0817551
+0.0804009
+0.0790718
+0.0777466
+0.0764612
+0.0751798
+0.0738792
+0.0726214
+0.0714086
+0.070242
+0.0691193
+0.0679733
+0.0668764
+0.0657718
+0.0647033
+0.0636341
+0.0625316
+0.0614753
+0.0604788
+0.0595268
+0.0585512
+0.057628
+0.0567712
+0.055987
+0.0552683
+0.054521
+0.0537144
+0.0529686
+0.0522693
+0.0516167
+0.0510335
+0.0504942
+0.0500324
+0.0496522
+0.0493164
+0.0490618
+0.048904
+0.0486945
+0.0484653
+0.0483172
+0.0482455
+0.0482151
+0.0482138
+0.0482918
+0.0484552
+0.0487075
+0.049054
+0.04946
+0.0499589
+0.0505478
+0.0512238
+0.0519526
+0.052743
+0.0535846
+0.0544904
+0.0546996
+0.0534826
+0.0523289
+0.051243
+0.0502292
+0.049292
+0.0484358
+0.0476649
+0.0469837
+0.046396
+0.0459054
+0.045515
+0.0452276
+0.0450449
+0.0449684
+0.0449979
+0.0451142
+0.0453359
+0.0456616
+0.0460894
+0.0466162
+0.0472389
+0.0479388
+0.0487228
+0.0495479
+0.0504175
+0.0513539
+0.0523652
+0.0534472
+0.0545957
+0.0558066
+0.0570465
+0.0583074
+0.0596213
+0.0609771
+0.0623513
+0.0637357
+0.0651645
+0.0666226
+0.0681181
+0.0695436
+0.0855563
+0.0841498
+0.0827728
+0.0814087
+0.0800813
+0.078742
+0.0773971
+0.0760663
+0.074752
+0.0734796
+0.0721962
+0.0709086
+0.069666
+0.068471
+0.0673232
+0.0661989
+0.0650752
+0.0639902
+0.0628957
+0.0618551
+0.0607769
+0.0596905
+0.0586648
+0.0576991
+0.0567384
+0.0557912
+0.0549057
+0.0540945
+0.053361
+0.0526228
+0.0518644
+0.0510916
+0.0503987
+0.0497216
+0.0491329
+0.0485776
+0.0480975
+0.0477129
+0.0473574
+0.0470921
+0.0469277
+0.0467766
+0.0465381
+0.0463921
+0.0463392
+0.0463164
+0.0463605
+0.0464457
+0.0466215
+0.0468836
+0.047246
+0.0476693
+0.0481867
+0.0487971
+0.0494969
+0.0502547
+0.0510681
+0.051931
+0.0528652
+0.0530768
+0.0518217
+0.0506302
+0.049507
+0.0484569
+0.0474847
+0.0465953
+0.0457935
+0.045084
+0.0444712
+0.0439591
+0.0435514
+0.0432508
+0.0430598
+0.0429797
+0.0430106
+0.0431323
+0.0433641
+0.0437046
+0.0441512
+0.0447009
+0.045346
+0.04607
+0.0468791
+0.0477033
+0.048601
+0.0495717
+0.0506186
+0.0517371
+0.0529228
+0.0541432
+0.0553836
+0.0566816
+0.0580242
+0.0593762
+0.0607495
+0.0621697
+0.063621
+0.0651117
+0.0665406
+0.067972
+0.0839569
+0.0825231
+0.0811231
+0.0797495
+0.078394
+0.0770769
+0.0757357
+0.074401
+0.0730686
+0.0717663
+0.070508
+0.0692227
+0.0679493
+0.0667235
+0.0655481
+0.0644211
+0.0632954
+0.0621947
+0.0611131
+0.0600416
+0.059032
+0.0579335
+0.0568762
+0.0558842
+0.0549496
+0.0539799
+0.0530652
+0.0522254
+0.0514652
+0.0507482
+0.0500293
+0.0492406
+0.0485249
+0.0478373
+0.0472251
+0.0466808
+0.0461855
+0.0457851
+0.0454195
+0.0451428
+0.0449712
+0.0448725
+0.0446351
+0.0444914
+0.0444364
+0.0444424
+0.0445196
+0.0446307
+0.0448182
+0.0450924
+0.0454691
+0.0459133
+0.0464503
+0.0470832
+0.0478081
+0.0485928
+0.0494332
+0.0503185
+0.0512818
+0.0514961
+0.0502015
+0.0489706
+0.0478084
+0.0467202
+0.0457111
+0.0447864
+0.0439517
+0.0432119
+0.0425722
+0.042037
+0.0416103
+0.0412957
+0.0410956
+0.0410117
+0.041044
+0.0411715
+0.0414143
+0.0417707
+0.0422378
+0.0428121
+0.0434762
+0.0442308
+0.0450271
+0.0458846
+0.0468165
+0.0478234
+0.0489078
+0.0500646
+0.0512628
+0.0524799
+0.0537587
+0.0550872
+0.0564144
+0.0577751
+0.0591855
+0.0606291
+0.0621144
+0.0635467
+0.0649702
+0.0664337
+0.0823586
+0.0809231
+0.0794949
+0.0781021
+0.0767321
+0.075386
+0.0740803
+0.0727371
+0.0714127
+0.0700796
+0.0687905
+0.0675478
+0.0662606
+0.065003
+0.0637958
+0.0626405
+0.0615381
+0.0604112
+0.0593235
+0.0582541
+0.0572129
+0.0561976
+0.0551166
+0.0540929
+0.0531351
+0.0521889
+0.0512522
+0.0503822
+0.0495938
+0.0488909
+0.0481534
+0.0474151
+0.0466715
+0.0459798
+0.0453425
+0.0448034
+0.0442924
+0.0438747
+0.0435056
+0.0432166
+0.0430374
+0.0429693
+0.0427558
+0.0426113
+0.0425613
+0.0425987
+0.0426792
+0.0428509
+0.0430462
+0.043338
+0.0437298
+0.0441961
+0.0447537
+0.0454102
+0.0461615
+0.0469701
+0.0478369
+0.0487511
+0.0497405
+0.0499615
+0.048626
+0.0473542
+0.0461513
+0.045023
+0.043975
+0.0430131
+0.0421432
+0.0413711
+0.0407024
+0.0401423
+0.0396953
+0.0393654
+0.0391554
+0.0390673
+0.0391013
+0.0392351
+0.0394898
+0.0398634
+0.0403526
+0.0409525
+0.0416377
+0.0424085
+0.0432069
+0.0440998
+0.0450678
+0.0461129
+0.0472366
+0.0484093
+0.0495996
+0.0508565
+0.0521603
+0.0534679
+0.0548143
+0.0562137
+0.0576483
+0.0591274
+0.0605634
+0.061978
+0.0634367
+0.0649176
+0.0807688
+0.0793259
+0.077892
+0.0764723
+0.0750873
+0.0737215
+0.0723857
+0.0710922
+0.0697473
+0.0684216
+0.0671006
+0.065826
+0.0646006
+0.0633115
+0.0620714
+0.060885
+0.0597519
+0.0586535
+0.0575492
+0.0564763
+0.0554203
+0.0544136
+0.0533889
+0.0523315
+0.0513456
+0.0504264
+0.049468
+0.0485679
+0.0477495
+0.0470191
+0.0463051
+0.0456212
+0.0448479
+0.0441528
+0.0434888
+0.0429264
+0.042412
+0.0419756
+0.0416178
+0.0413168
+0.0411293
+0.041058
+0.0408957
+0.0407605
+0.040711
+0.0407685
+0.0408733
+0.0410742
+0.0413143
+0.0416249
+0.0420299
+0.0425225
+0.0431017
+0.0437831
+0.0445553
+0.0453882
+0.0462891
+0.0472311
+0.0482495
+0.0484707
+0.0470997
+0.0457855
+0.0445404
+0.0433702
+0.0422812
+0.0412798
+0.0403726
+0.039566
+0.0388662
+0.0382793
+0.0378103
+0.0374637
+0.037243
+0.0371504
+0.0371861
+0.0373268
+0.0375944
+0.0379866
+0.0384997
+0.039118
+0.0398348
+0.040589
+0.0414225
+0.042353
+0.0433594
+0.0444447
+0.0455877
+0.0467472
+0.0479788
+0.0492507
+0.0505387
+0.0518696
+0.0532562
+0.0546807
+0.0561524
+0.0575921
+0.0589966
+0.0604479
+0.0619292
+0.0634356
+0.0792076
+0.0777357
+0.0762983
+0.074866
+0.073456
+0.0720796
+0.0707184
+0.0693939
+0.0681107
+0.0667673
+0.0654403
+0.0641328
+0.0628744
+0.0616514
+0.0603773
+0.0591569
+0.0579934
+0.0568854
+0.0557874
+0.0546974
+0.0536503
+0.0526097
+0.0516412
+0.0506035
+0.0495834
+0.0486362
+0.0477085
+0.0467858
+0.0459357
+0.0451759
+0.044488
+0.0437758
+0.0430584
+0.0423516
+0.0416677
+0.0410805
+0.0405627
+0.0401062
+0.0397344
+0.0394414
+0.0392508
+0.0391741
+0.0390698
+0.0389314
+0.0388938
+0.038954
+0.0391025
+0.0393167
+0.0396278
+0.0399584
+0.0403734
+0.0408872
+0.0414997
+0.0422069
+0.0429961
+0.0438587
+0.0447951
+0.0457632
+0.0468136
+0.0470021
+0.0456206
+0.0442697
+0.0429807
+0.0417668
+0.0406349
+0.0395919
+0.038645
+0.0378016
+0.0370686
+0.0364527
+0.0359599
+0.0355953
+0.0353629
+0.0352654
+0.035303
+0.0354512
+0.0357328
+0.0361453
+0.0366841
+0.037322
+0.0380434
+0.0388079
+0.0396789
+0.0406493
+0.041696
+0.0428044
+0.0439281
+0.0451303
+0.0463656
+0.0476308
+0.0489438
+0.0503157
+0.0517283
+0.0531915
+0.054635
+0.0560279
+0.0574706
+0.0589509
+0.0604532
+0.0619955
+0.0776769
+0.0761754
+0.074708
+0.0732767
+0.0718463
+0.0704466
+0.0690799
+0.0677238
+0.066412
+0.0651295
+0.0637979
+0.0624705
+0.0611779
+0.0599376
+0.058716
+0.0574603
+0.0562619
+0.0551225
+0.0540383
+0.0529475
+0.0518738
+0.0508362
+0.0498332
+0.0488951
+0.0478566
+0.0468791
+0.0459588
+0.0450368
+0.044156
+0.0433651
+0.042672
+0.0419635
+0.0413059
+0.0405704
+0.0398839
+0.03927
+0.038749
+0.0382709
+0.0378842
+0.0375767
+0.0373953
+0.0373127
+0.0372832
+0.0371381
+0.0371169
+0.03718
+0.0373648
+0.0376047
+0.0379496
+0.038335
+0.0387699
+0.0393047
+0.0399469
+0.0406807
+0.0414941
+0.0423872
+0.0433558
+0.044355
+0.0454379
+0.0455914
+0.0441658
+0.0428049
+0.0414781
+0.0402189
+0.0390421
+0.0379554
+0.0369666
+0.036084
+0.0353153
+0.0346683
+0.0341498
+0.0337657
+0.0335206
+0.0334177
+0.033456
+0.0336118
+0.0339087
+0.034343
+0.0349035
+0.0355702
+0.0362696
+0.0370708
+0.0379816
+0.0389943
+0.0400673
+0.0411492
+0.0423169
+0.0435098
+0.0447485
+0.0460374
+0.0473921
+0.048794
+0.0502471
+0.0516943
+0.053074
+0.0545069
+0.0559836
+0.0574816
+0.05902
+0.0605896
+0.0761634
+0.0746467
+0.0731487
+0.0716863
+0.0702617
+0.0688335
+0.0674425
+0.0660842
+0.0647391
+0.0634411
+0.0621586
+0.0608408
+0.0595137
+0.0582379
+0.0570178
+0.0557981
+0.0545633
+0.0533898
+0.0522712
+0.0512147
+0.050123
+0.0490833
+0.0480572
+0.0470969
+0.0461691
+0.0451551
+0.0442221
+0.0433169
+0.0424149
+0.0415908
+0.0408677
+0.0401889
+0.0395208
+0.0388203
+0.0381425
+0.0375
+0.0369756
+0.0364748
+0.036072
+0.035749
+0.0355583
+0.035489
+0.0354632
+0.0353897
+0.0353728
+0.0354527
+0.0356469
+0.0359327
+0.0363018
+0.0367643
+0.0372263
+0.0377829
+0.0384506
+0.0392124
+0.0400556
+0.0409801
+0.0419811
+0.0430123
+0.0441282
+0.0442442
+0.0427737
+0.0413671
+0.0400309
+0.0387331
+0.0375097
+0.0363772
+0.0353444
+0.0344201
+0.0336135
+0.032933
+0.0323867
+0.0319814
+0.0317226
+0.0316138
+0.0316517
+0.0318163
+0.0321298
+0.0325879
+0.0331687
+0.0338247
+0.0345437
+0.035384
+0.0363371
+0.0373866
+0.0384191
+0.0395461
+0.0406894
+0.0418913
+0.0431539
+0.0444886
+0.0458813
+0.0473199
+0.0487732
+0.0501376
+0.0515589
+0.0530308
+0.0545219
+0.0560559
+0.0576229
+0.0592091
+0.0746614
+0.0731361
+0.0716224
+0.0701282
+0.0686714
+0.067253
+0.0658286
+0.0644472
+0.0630979
+0.0617654
+0.0604826
+0.0592007
+0.0578846
+0.0565721
+0.0553152
+0.0541179
+0.0528987
+0.0516874
+0.0505374
+0.0494439
+0.0483992
+0.0473307
+0.0463167
+0.0453195
+0.0443994
+0.0434732
+0.0425078
+0.0416115
+0.0407127
+0.039858
+0.0391029
+0.0384573
+0.0377585
+0.0371083
+0.0364281
+0.0357744
+0.0352251
+0.0347241
+0.0343041
+0.0339643
+0.0337634
+0.033701
+0.0336818
+0.033693
+0.0336549
+0.0337519
+0.0339527
+0.0342743
+0.0347059
+0.0351948
+0.0357503
+0.0363296
+0.0370235
+0.0378141
+0.0386878
+0.0396442
+0.040678
+0.0417414
+0.0428904
+0.0429665
+0.0414508
+0.0399976
+0.0386141
+0.037308
+0.0360454
+0.0348653
+0.0337863
+0.0328182
+0.0319711
+0.031255
+0.0306788
+0.0302506
+0.0299769
+0.0298617
+0.029899
+0.0300732
+0.0304047
+0.0308884
+0.0314907
+0.0321168
+0.0328733
+0.0337552
+0.034753
+0.035749
+0.0368275
+0.0379122
+0.0390682
+0.0403024
+0.0416132
+0.0429851
+0.0444121
+0.0458643
+0.0472217
+0.0486297
+0.0500939
+0.0515784
+0.0531071
+0.0546708
+0.0562545
+0.0578765
+0.0731229
+0.0716377
+0.0701149
+0.0686047
+0.0671148
+0.0656642
+0.0642489
+0.0628328
+0.0614621
+0.0601229
+0.0588047
+0.0575358
+0.0562579
+0.0549431
+0.0536481
+0.0524127
+0.0512411
+0.0500171
+0.0488326
+0.0477079
+0.0466511
+0.045609
+0.0445789
+0.0435798
+0.0426312
+0.041745
+0.0408343
+0.0399106
+0.0390442
+0.0381723
+0.0373831
+0.0367079
+0.0360432
+0.0354323
+0.0347364
+0.0340965
+0.0335197
+0.033026
+0.0325853
+0.0322289
+0.0320172
+0.031952
+0.031951
+0.0319962
+0.0319616
+0.0320638
+0.0323038
+0.032643
+0.0331019
+0.0336913
+0.0343276
+0.0349532
+0.0356739
+0.0364937
+0.0373983
+0.0383868
+0.0394537
+0.0405492
+0.041731
+0.0417648
+0.0402037
+0.0387038
+0.0372723
+0.0359174
+0.0346482
+0.0334279
+0.0323009
+0.0312868
+0.0303971
+0.0296429
+0.0290348
+0.028582
+0.0282921
+0.0281701
+0.0282077
+0.0283923
+0.0287432
+0.0292469
+0.0298146
+0.0304708
+0.0312671
+0.032193
+0.0331535
+0.0341655
+0.0351789
+0.0362897
+0.03749
+0.0387721
+0.0401108
+0.041521
+0.0429764
+0.0443236
+0.0457226
+0.0471753
+0.0486542
+0.0501763
+0.0517357
+0.0533163
+0.0549376
+0.0565974
+0.0715621
+0.0700964
+0.0686205
+0.0671009
+0.0655945
+0.0641095
+0.0626659
+0.0612542
+0.0598474
+0.0584888
+0.057161
+0.0558588
+0.054605
+0.0533326
+0.0520167
+0.0507416
+0.0495305
+0.0483884
+0.047163
+0.0460092
+0.044914
+0.0438992
+0.0428612
+0.0418676
+0.0408945
+0.0399935
+0.0391559
+0.0382557
+0.0373877
+0.0365339
+0.0357149
+0.0350075
+0.034382
+0.0337411
+0.0330941
+0.0324775
+0.0318737
+0.031377
+0.03091
+0.0305482
+0.0303248
+0.0302586
+0.0302635
+0.0303101
+0.0303303
+0.0304392
+0.0306964
+0.0310791
+0.0315608
+0.0321784
+0.0329304
+0.0336411
+0.0344052
+0.035256
+0.0361955
+0.0372161
+0.0383155
+0.0394426
+0.0406566
+0.0406456
+0.0390399
+0.0374934
+0.0360138
+0.0346097
+0.0332907
+0.0320502
+0.0308988
+0.0298372
+0.0289029
+0.0281086
+0.0274665
+0.0269875
+0.0266802
+0.0265508
+0.0265893
+0.0267851
+0.0271567
+0.0276416
+0.0282044
+0.0288973
+0.0297357
+0.0306392
+0.0315588
+0.0325111
+0.0335673
+0.0347262
+0.0359627
+0.0372725
+0.038662
+0.0401192
+0.0414441
+0.0428395
+0.0442812
+0.0457454
+0.0472558
+0.0488178
+0.0503972
+0.0520173
+0.0536779
+0.0553437
+0.0700309
+0.0685367
+0.0670763
+0.065611
+0.0640948
+0.0625929
+0.0611135
+0.0596778
+0.0582701
+0.0568738
+0.0555289
+0.0542143
+0.0529303
+0.0516937
+0.0504256
+0.0491099
+0.0478576
+0.0466746
+0.0455376
+0.0443417
+0.0432181
+0.0421625
+0.0411713
+0.0401586
+0.0392032
+0.0382716
+0.0374114
+0.036628
+0.03575
+0.0349152
+0.0341059
+0.0333645
+0.0327509
+0.0321091
+0.0314859
+0.0308803
+0.0302967
+0.0297949
+0.0293027
+0.0289359
+0.0286999
+0.0286301
+0.02864
+0.02868
+0.0287261
+0.0288712
+0.0291494
+0.029567
+0.0300971
+0.0307472
+0.0315334
+0.0324183
+0.0332106
+0.0341039
+0.0350885
+0.0361403
+0.0372715
+0.0384292
+0.0396742
+0.0396161
+0.0379668
+0.0363748
+0.0348477
+0.0333946
+0.0320256
+0.0307341
+0.029543
+0.0284709
+0.0275021
+0.0266661
+0.0259884
+0.0254816
+0.025156
+0.0250187
+0.0250581
+0.0252658
+0.0256122
+0.0261094
+0.0266771
+0.0274086
+0.0282312
+0.0290474
+0.0299232
+0.0309156
+0.0320192
+0.0332035
+0.0344788
+0.0358428
+0.0372816
+0.0385936
+0.0399684
+0.0414136
+0.0428537
+0.0443544
+0.0459106
+0.0475007
+0.0491187
+0.0507793
+0.0524437
+0.0541212
+0.0684929
+0.0670123
+0.065518
+0.0640637
+0.06261
+0.0610979
+0.0596011
+0.0581281
+0.0567015
+0.0552959
+0.0539116
+0.0525822
+0.0512855
+0.0500213
+0.0487929
+0.0475233
+0.0462281
+0.0450022
+0.0438516
+0.0427212
+0.0415598
+0.04047
+0.0394625
+0.0384808
+0.0375073
+0.0365903
+0.0357161
+0.0349134
+0.0341635
+0.0333329
+0.032528
+0.0317875
+0.0311281
+0.0305286
+0.029948
+0.0293198
+0.0287849
+0.0282852
+0.0277754
+0.0274039
+0.0271546
+0.0270808
+0.0270966
+0.0270646
+0.0271111
+0.0272922
+0.027615
+0.0280772
+0.0286515
+0.0293619
+0.0302105
+0.0311424
+0.0321211
+0.033057
+0.0340817
+0.0351682
+0.0363297
+0.0375165
+0.0387908
+0.0386834
+0.0369925
+0.0353566
+0.0337836
+0.0322827
+0.0308643
+0.0295221
+0.02828
+0.0271581
+0.0261718
+0.0253289
+0.0246167
+0.0240811
+0.0237362
+0.0235907
+0.0236099
+0.0237961
+0.0241444
+0.0246471
+0.0252476
+0.0259604
+0.0266562
+0.0274335
+0.0283436
+0.0293728
+0.0305093
+0.0317418
+0.0330735
+0.0344889
+0.0357806
+0.0371304
+0.0385574
+0.0399929
+0.0414814
+0.04303
+0.0446272
+0.046246
+0.0479037
+0.0495677
+0.0512391
+0.0529361
+0.0669555
+0.065475
+0.0639967
+0.062507
+0.0610597
+0.059619
+0.0581117
+0.0566208
+0.0551552
+0.053739
+0.0523361
+0.0509656
+0.0496539
+0.0483778
+0.0471327
+0.0459157
+0.0446465
+0.043376
+0.042181
+0.0410682
+0.0399466
+0.0388256
+0.037776
+0.0368252
+0.0358561
+0.0349295
+0.034057
+0.0332346
+0.0324995
+0.0317763
+0.0309928
+0.0302699
+0.0295785
+0.0290236
+0.0284298
+0.0278387
+0.0273235
+0.026841
+0.0263415
+0.0259365
+0.0257033
+0.0256253
+0.0256429
+0.0255045
+0.0255538
+0.0257363
+0.0260526
+0.026542
+0.0271477
+0.0278965
+0.0287616
+0.0297527
+0.0308621
+0.032069
+0.033179
+0.0342921
+0.0354983
+0.036712
+0.0380133
+0.0378546
+0.036125
+0.0344479
+0.0328313
+0.0312848
+0.029819
+0.0284274
+0.0271353
+0.025964
+0.0249305
+0.0240503
+0.0233348
+0.022769
+0.022404
+0.0222486
+0.0222312
+0.0224237
+0.0227885
+0.0232712
+0.0238713
+0.0243985
+0.0250547
+0.0258779
+0.0268233
+0.0278992
+0.0290772
+0.0303679
+0.0317529
+0.0330187
+0.0343373
+0.0357415
+0.0371702
+0.0386433
+0.0401818
+0.0417786
+0.0434005
+0.0450574
+0.0467201
+0.0483838
+0.0500817
+0.0518088
+0.0654431
+0.0639371
+0.0624651
+0.0609893
+0.0595051
+0.0580656
+0.0566395
+0.0551378
+0.0536538
+0.0521969
+0.0507927
+0.0493933
+0.0480387
+0.0467476
+0.0454952
+0.044272
+0.0430692
+0.0418013
+0.04056
+0.0394015
+0.0383332
+0.0372231
+0.0361436
+0.0351487
+0.034241
+0.0332969
+0.0324322
+0.0316033
+0.0308493
+0.0301628
+0.0295046
+0.028781
+0.0281144
+0.0275299
+0.0269894
+0.0264547
+0.0259243
+0.0254837
+0.0250071
+0.0245767
+0.0243361
+0.0242537
+0.0241895
+0.0240426
+0.0240845
+0.0242556
+0.0245862
+0.0250976
+0.02572
+0.0265078
+0.0274066
+0.0284415
+0.029585
+0.0308194
+0.0321478
+0.0335256
+0.0347608
+0.0360229
+0.0373482
+0.0371237
+0.0353713
+0.0336574
+0.0320009
+0.0304122
+0.0289022
+0.0274642
+0.0261245
+0.0249057
+0.0238263
+0.0229062
+0.0221513
+0.0215544
+0.0211685
+0.0209853
+0.0209686
+0.02116
+0.0215175
+0.0219731
+0.0223433
+0.0228489
+0.0235483
+0.0243847
+0.0253797
+0.0264906
+0.0277277
+0.0290667
+0.0303219
+0.0316011
+0.0329759
+0.034395
+0.0358482
+0.0373734
+0.0389621
+0.0405847
+0.0422466
+0.0438938
+0.0455583
+0.04725
+0.0489775
+0.0507407
+0.0639622
+0.0624267
+0.060925
+0.0594641
+0.0579916
+0.0565135
+0.0550829
+0.0536734
+0.0521783
+0.0507025
+0.0492557
+0.0478586
+0.0464706
+0.0451347
+0.0438675
+0.0426429
+0.0414455
+0.0402598
+0.0389947
+0.0377882
+0.036673
+0.0356576
+0.0345627
+0.0335315
+0.0326042
+0.0317196
+0.0308102
+0.0300192
+0.0292482
+0.028578
+0.0278471
+0.0271795
+0.0266114
+0.0260896
+0.0256287
+0.0251527
+0.0245526
+0.0240827
+0.0237854
+0.0233436
+0.0230901
+0.0230033
+0.0227471
+0.0226319
+0.0226732
+0.0228839
+0.023234
+0.0237356
+0.0243857
+0.0251836
+0.026118
+0.0271831
+0.0283496
+0.0296268
+0.0310064
+0.0324752
+0.0340186
+0.035456
+0.0368017
+0.0364976
+0.0347147
+0.0329809
+0.0312972
+0.0296707
+0.028121
+0.0266467
+0.0252636
+0.0240011
+0.0228792
+0.0219193
+0.0211292
+0.0205026
+0.0200925
+0.0198742
+0.0198585
+0.0200527
+0.0203138
+0.0204866
+0.0208524
+0.0213948
+0.0220939
+0.0229771
+0.023998
+0.0251683
+0.0264661
+0.0277091
+0.0289381
+0.0302746
+0.0316797
+0.0331071
+0.0346145
+0.0361917
+0.0378131
+0.0394757
+0.041101
+0.042762
+0.0444522
+0.0461804
+0.0479464
+0.0497069
+0.0625141
+0.0609509
+0.0594188
+0.0579219
+0.0564704
+0.0550046
+0.053534
+0.0521137
+0.0507158
+0.0492359
+0.0477698
+0.046335
+0.0449429
+0.0435722
+0.0422582
+0.0410192
+0.0398251
+0.0386446
+0.0374775
+0.0362356
+0.0350711
+0.0340079
+0.0330439
+0.0319809
+0.0310091
+0.0301521
+0.0292609
+0.0284392
+0.0277184
+0.0269648
+0.0262085
+0.0255723
+0.0250111
+0.0245156
+0.0240884
+0.0236749
+0.023059
+0.022546
+0.0222282
+0.0221052
+0.0219891
+0.0217421
+0.0214163
+0.0212939
+0.0213513
+0.0215901
+0.0219718
+0.0224497
+0.0231072
+0.0239344
+0.0249004
+0.0259872
+0.027199
+0.0285277
+0.0299579
+0.0314758
+0.0330672
+0.0347066
+0.0363745
+0.0359941
+0.034185
+0.0324229
+0.0307086
+0.0290492
+0.0274644
+0.0259678
+0.0245685
+0.0232683
+0.0221092
+0.0211144
+0.0202929
+0.019639
+0.0191815
+0.0189437
+0.0189172
+0.0187539
+0.0187438
+0.0189468
+0.0193894
+0.0199769
+0.0207548
+0.0216507
+0.0226894
+0.023869
+0.0251556
+0.026354
+0.0276433
+0.0290333
+0.0304346
+0.0319178
+0.0334787
+0.0350962
+0.0367511
+0.0383551
+0.0400101
+0.0416968
+0.0434242
+0.0451826
+0.0469401
+0.0487254
+0.0611035
+0.0595101
+0.0579487
+0.0564206
+0.0549294
+0.0534864
+0.0520296
+0.0505688
+0.0491605
+0.0477736
+0.0463138
+0.0448559
+0.0434389
+0.0420534
+0.0407032
+0.0394153
+0.0382097
+0.0370357
+0.0358901
+0.03473
+0.0335358
+0.0324223
+0.0314223
+0.0304912
+0.0294906
+0.028588
+0.0277694
+0.0268982
+0.0260798
+0.0253407
+0.0246559
+0.0240036
+0.0234688
+0.0230113
+0.0225839
+0.0220356
+0.0216655
+0.0211084
+0.0207685
+0.0206512
+0.0207263
+0.0205628
+0.0202064
+0.0200766
+0.0201669
+0.0204196
+0.020796
+0.0212804
+0.0219416
+0.0227803
+0.0237831
+0.0249116
+0.0261733
+0.0275516
+0.0290299
+0.0305831
+0.0322
+0.0338814
+0.0356182
+0.0356185
+0.0337893
+0.0320054
+0.0302674
+0.0285824
+0.0269702
+0.0254446
+0.024022
+0.0227087
+0.0215352
+0.0205128
+0.0196387
+0.0189447
+0.0184717
+0.0178342
+0.0173475
+0.0170952
+0.0170843
+0.0173073
+0.0177908
+0.0184327
+0.0192482
+0.0202651
+0.0213326
+0.0225569
+0.023875
+0.0251005
+0.0264509
+0.027848
+0.0293006
+0.0308384
+0.0324441
+0.0340826
+0.0356669
+0.0373126
+0.038993
+0.0407172
+0.0424601
+0.0442172
+0.0459895
+0.047757
+0.0597218
+0.0581092
+0.0565163
+0.0549572
+0.0534338
+0.0519493
+0.0505161
+0.0490687
+0.0476205
+0.0462262
+0.0448525
+0.0434161
+0.0419606
+0.0405677
+0.0391957
+0.0378704
+0.0366136
+0.0354473
+0.0342927
+0.0331711
+0.0320466
+0.0309074
+0.0298566
+0.0289338
+0.0280153
+0.0270667
+0.0261326
+0.0252903
+0.0244904
+0.0237911
+0.0231025
+0.0224811
+0.0219765
+0.0215278
+0.0210383
+0.0204486
+0.0200818
+0.0198091
+0.0194465
+0.019327
+0.0194121
+0.0194106
+0.0190737
+0.018969
+0.0190839
+0.0194264
+0.0197216
+0.0201978
+0.0208778
+0.0217507
+0.0227747
+0.0239557
+0.0252718
+0.0266974
+0.028158
+0.0297052
+0.0313293
+0.0330189
+0.0347464
+0.0353748
+0.0335323
+0.031734
+0.0299803
+0.0282782
+0.0266476
+0.0251023
+0.0236592
+0.0223245
+0.0211327
+0.0201096
+0.0190644
+0.0179912
+0.0170241
+0.0162738
+0.0157596
+0.0155
+0.0155222
+0.0157907
+0.0163191
+0.0170066
+0.0178836
+0.01896
+0.0200936
+0.0213602
+0.0226961
+0.0239819
+0.0253717
+0.0267838
+0.0282911
+0.029867
+0.031487
+0.0330506
+0.0346821
+0.0363522
+0.0380699
+0.0397926
+0.0415426
+0.0432991
+0.0450656
+0.0468106
+0.0583269
+0.0567228
+0.0551263
+0.0535345
+0.0519782
+0.0504605
+0.0489838
+0.0475622
+0.0461255
+0.0446925
+0.0433147
+0.0419566
+0.0405398
+0.0390964
+0.037725
+0.0363739
+0.0350741
+0.0338548
+0.0327328
+0.0316155
+0.0305133
+0.0294446
+0.0283525
+0.0273455
+0.0263534
+0.0254321
+0.0245677
+0.0236929
+0.0229443
+0.022254
+0.0215478
+0.0209634
+0.0205014
+0.0200938
+0.0195372
+0.0189717
+0.0185757
+0.0184047
+0.0182922
+0.0181019
+0.0180877
+0.0180732
+0.0179718
+0.0179042
+0.0180259
+0.0183879
+0.0186732
+0.0191755
+0.019858
+0.0207269
+0.0217731
+0.0229543
+0.0242467
+0.0256561
+0.0271692
+0.0287615
+0.0304044
+0.0321128
+0.0338767
+0.0352658
+0.0334172
+0.0316124
+0.0298242
+0.0280796
+0.0263721
+0.0247039
+0.0231159
+0.0216318
+0.0202
+0.0188667
+0.0175946
+0.0164532
+0.0155306
+0.014796
+0.0143009
+0.0140245
+0.0140699
+0.0143792
+0.0149576
+0.0157525
+0.0166641
+0.0177197
+0.0189288
+0.02027
+0.0216602
+0.0229979
+0.0243964
+0.0258577
+0.0273933
+0.0289904
+0.0305246
+0.032135
+0.0337891
+0.0354801
+0.0371865
+0.0389238
+0.0406227
+0.0423315
+0.0440475
+0.0457662
+0.0569748
+0.0553369
+0.0537351
+0.0521569
+0.0505665
+0.049014
+0.0475031
+0.0460357
+0.0446278
+0.0432039
+0.041789
+0.040431
+0.0390919
+0.0376949
+0.0362706
+0.0349257
+0.0335981
+0.0323324
+0.0311598
+0.0300815
+0.029022
+0.0279418
+0.0268158
+0.0257551
+0.0247279
+0.0238081
+0.0229586
+0.0221053
+0.0213696
+0.0206988
+0.020077
+0.0195296
+0.0190793
+0.0186967
+0.0180567
+0.0175631
+0.0172059
+0.0170443
+0.0167615
+0.0165867
+0.0166328
+0.0166186
+0.0166194
+0.0168378
+0.0171834
+0.0173398
+0.0175437
+0.0180067
+0.0187163
+0.0196457
+0.0207135
+0.021921
+0.0232605
+0.0246886
+0.0262221
+0.0278256
+0.029496
+0.0312309
+0.03302
+0.0343657
+0.0324542
+0.0305461
+0.0286784
+0.0268595
+0.0251002
+0.0234102
+0.0217507
+0.0201661
+0.0187043
+0.0173648
+0.0160949
+0.0149945
+0.0140233
+0.0132659
+0.0128
+0.0126496
+0.0127195
+0.0131154
+0.0137687
+0.0146289
+0.0155157
+0.0165973
+0.0178708
+0.01929
+0.0207752
+0.0221308
+0.0235723
+0.0250553
+0.0264551
+0.0279524
+0.029522
+0.0311667
+0.0328751
+0.0345494
+0.0362048
+0.0379001
+0.0396052
+0.0412824
+0.0429701
+0.0446899
+0.0556133
+0.0539988
+0.0523594
+0.0507603
+0.049192
+0.0476152
+0.0460673
+0.0445648
+0.0431088
+0.041717
+0.0403088
+0.0389156
+0.0375814
+0.0362655
+0.0348933
+0.0334931
+0.0321812
+0.0308837
+0.0296608
+0.0285467
+0.0275118
+0.0264178
+0.0252896
+0.024174
+0.0231697
+0.0222343
+0.0213312
+0.0205277
+0.0197796
+0.0191388
+0.0186352
+0.0181605
+0.017686
+0.0170969
+0.0166376
+0.0161725
+0.0159096
+0.0155375
+0.0152393
+0.0151101
+0.015216
+0.0152713
+0.0152722
+0.0155632
+0.0160931
+0.0161235
+0.016337
+0.016794
+0.0174933
+0.0183821
+0.0194764
+0.0207451
+0.0221322
+0.0236266
+0.0252194
+0.0268679
+0.0285801
+0.0303532
+0.032159
+0.0333843
+0.0314391
+0.0295282
+0.0276589
+0.0257682
+0.0239287
+0.0221532
+0.0204584
+0.0188187
+0.0172681
+0.0158418
+0.0146061
+0.0134661
+0.0125374
+0.0118473
+0.0113939
+0.011236
+0.0114504
+0.0119467
+0.0127258
+0.0136558
+0.0145431
+0.0156884
+0.01703
+0.0185143
+0.0199585
+0.0212746
+0.022499
+0.0238478
+0.0253145
+0.0268754
+0.0285044
+0.030145
+0.0317278
+0.0333794
+0.0350901
+0.0368517
+0.0385102
+0.0401939
+0.0419027
+0.0436327
+0.054154
+0.0526277
+0.0510288
+0.0493968
+0.0478002
+0.0462367
+0.0446838
+0.0431419
+0.0416497
+0.0402074
+0.0388348
+0.0374461
+0.0360785
+0.0347744
+0.0334872
+0.032146
+0.0307768
+0.0295069
+0.0282483
+0.0270803
+0.0260369
+0.0248372
+0.0237318
+0.0226248
+0.0215973
+0.0206942
+0.019763
+0.0189547
+0.0182688
+0.0176736
+0.0171791
+0.0167361
+0.016161
+0.0155453
+0.015114
+0.0148806
+0.014367
+0.0139873
+0.0137532
+0.0136992
+0.0138941
+0.0139439
+0.0140773
+0.0144451
+0.0147368
+0.0148298
+0.0149975
+0.0154766
+0.0161905
+0.0171486
+0.018298
+0.0195984
+0.0210469
+0.0225891
+0.0242175
+0.0259289
+0.0277078
+0.0295167
+0.031339
+0.0325211
+0.0305208
+0.0285486
+0.0266105
+0.0247147
+0.0228716
+0.0210459
+0.0192539
+0.01755
+0.0159225
+0.0144283
+0.0130703
+0.0119245
+0.0110066
+0.0103345
+0.0100234
+0.00999885
+0.0102553
+0.0108911
+0.0118016
+0.012739
+0.013706
+0.0149156
+0.0163308
+0.0178868
+0.0189596
+0.0200918
+0.0213718
+0.0227874
+0.0243181
+0.0259185
+0.0273954
+0.0289628
+0.0306069
+0.0323158
+0.0340701
+0.0357905
+0.0374683
+0.03915
+0.0408792
+0.0425802
+0.0526863
+0.0511702
+0.0496558
+0.048058
+0.0464519
+0.0448578
+0.0433013
+0.0417764
+0.0402424
+0.0387629
+0.0373378
+0.0359874
+0.0346239
+0.0332863
+0.032021
+0.0307567
+0.0294463
+0.02812
+0.026903
+0.0257158
+0.0245512
+0.0233393
+0.022181
+0.0211205
+0.0200826
+0.0191418
+0.0182724
+0.0174566
+0.0167813
+0.016243
+0.0157874
+0.0151872
+0.0145319
+0.0141293
+0.0137127
+0.0133542
+0.0128032
+0.0124277
+0.0123074
+0.0124059
+0.0126406
+0.0126616
+0.0128525
+0.0133511
+0.0134891
+0.0136248
+0.0138072
+0.0142711
+0.0149982
+0.0159775
+0.0171745
+0.0185537
+0.0200603
+0.0216573
+0.0233245
+0.0250227
+0.0267925
+0.0286206
+0.0304965
+0.0317093
+0.0296857
+0.0276875
+0.0257065
+0.0237386
+0.0218133
+0.0199427
+0.0181399
+0.0163994
+0.0146969
+0.0130992
+0.0116722
+0.0104386
+0.00946379
+0.00885624
+0.00857202
+0.00869753
+0.00917894
+0.00992833
+0.0110062
+0.0119583
+0.0129625
+0.0141106
+0.0153669
+0.0166061
+0.0177953
+0.0190743
+0.0204181
+0.0218954
+0.0232885
+0.0247284
+0.0262723
+0.0279028
+0.0295855
+0.0312734
+0.0330054
+0.0347796
+0.0364528
+0.0381467
+0.0398262
+0.0415534
+0.0512659
+0.049711
+0.0482009
+0.0467003
+0.0451042
+0.0435283
+0.0419374
+0.0403902
+0.0388971
+0.0373748
+0.0359114
+0.0345076
+0.033185
+0.0318531
+0.0305516
+0.0293365
+0.0280962
+0.0268221
+0.0255552
+0.0242561
+0.0230099
+0.021879
+0.0206958
+0.0196133
+0.0186049
+0.0176611
+0.0167539
+0.0160312
+0.0154143
+0.0149004
+0.0144
+0.0136162
+0.0130165
+0.0126373
+0.0124127
+0.0117807
+0.0112516
+0.0109681
+0.0109334
+0.0110973
+0.0113582
+0.0113581
+0.011674
+0.0119969
+0.0121501
+0.012491
+0.0126765
+0.0131685
+0.0139481
+0.0149877
+0.0162477
+0.017631
+0.0191316
+0.0207129
+0.0223949
+0.0241585
+0.0259571
+0.027806
+0.0297014
+0.0309808
+0.028948
+0.0268951
+0.0248657
+0.022866
+0.0209047
+0.0189741
+0.0170736
+0.0152511
+0.0135125
+0.0119019
+0.0104087
+0.00907037
+0.00808573
+0.00741752
+0.00721488
+0.00746514
+0.00810672
+0.00906766
+0.0102656
+0.0108738
+0.0117343
+0.0128438
+0.0141972
+0.0153058
+0.0165113
+0.0178786
+0.0193089
+0.0207878
+0.0221738
+0.0236812
+0.0252459
+0.0268529
+0.0285345
+0.0302656
+0.0319311
+0.0336033
+0.0353323
+0.0370807
+0.0388341
+0.0406092
+0.0498137
+0.0483002
+0.0467516
+0.0452489
+0.0437646
+0.0421711
+0.0406305
+0.0390445
+0.0375075
+0.036028
+0.0345469
+0.0331043
+0.0317275
+0.03044
+0.0291483
+0.0278926
+0.0267318
+0.0253883
+0.0240992
+0.0228562
+0.0215463
+0.02037
+0.0193072
+0.0181556
+0.0171663
+0.0162301
+0.0153314
+0.0146117
+0.0140882
+0.0134928
+0.0128348
+0.0120824
+0.0115235
+0.0112432
+0.0108842
+0.0102713
+0.00971686
+0.00956412
+0.0096199
+0.00979347
+0.0100885
+0.0101134
+0.0105035
+0.0106515
+0.0108772
+0.0112808
+0.0116488
+0.012107
+0.0129253
+0.0139674
+0.0152195
+0.0166447
+0.0181758
+0.019831
+0.0215433
+0.023332
+0.02516
+0.0270354
+0.0289551
+0.0300955
+0.0280829
+0.026099
+0.0241508
+0.0221152
+0.0200837
+0.0180861
+0.0161386
+0.0142618
+0.0124574
+0.0107417
+0.00914262
+0.00782383
+0.00681905
+0.00603108
+0.00578732
+0.0061405
+0.00709303
+0.00809805
+0.0091295
+0.00966057
+0.0105567
+0.0117473
+0.0129485
+0.0140011
+0.0152392
+0.0166175
+0.0180905
+0.0196077
+0.0211433
+0.0226137
+0.0241934
+0.0258546
+0.0274742
+0.0291027
+0.0307726
+0.0324907
+0.0341988
+0.0359592
+0.0377458
+0.0395336
+0.0483966
+0.0468377
+0.0453311
+0.0438115
+0.0423177
+0.0408393
+0.0392634
+0.0377344
+0.0361834
+0.034648
+0.0331856
+0.0317695
+0.030353
+0.0290117
+0.0277563
+0.0265296
+0.0253303
+0.0239461
+0.0226431
+0.0214129
+0.0201963
+0.0189559
+0.0178779
+0.0167861
+0.0157553
+0.0148199
+0.013978
+0.0132835
+0.0127275
+0.01196
+0.0111743
+0.0106161
+0.0101545
+0.00990997
+0.00926208
+0.00869767
+0.0082302
+0.00812121
+0.00824529
+0.00858266
+0.00874501
+0.00893264
+0.00934167
+0.00941748
+0.0095786
+0.0100401
+0.010566
+0.0110641
+0.0118735
+0.0129343
+0.0141903
+0.0156048
+0.0171774
+0.0188714
+0.0206587
+0.0224859
+0.0243118
+0.0261817
+0.0280948
+0.0292684
+0.0272501
+0.0252325
+0.0232118
+0.0212248
+0.0192819
+0.0173216
+0.0153377
+0.013392
+0.0114711
+0.00966427
+0.00802438
+0.00661881
+0.00551223
+0.00473658
+0.00458785
+0.00516868
+0.00612289
+0.00691243
+0.00797428
+0.00846669
+0.0093502
+0.0106113
+0.0116662
+0.0127433
+0.0139763
+0.0153424
+0.0167901
+0.0183283
+0.019944
+0.0216358
+0.023144
+0.0247384
+0.026335
+0.0279987
+0.0296482
+0.0313581
+0.0330955
+0.0348486
+0.036642
+0.038449
+0.0470388
+0.0454334
+0.0438786
+0.04238
+0.0408905
+0.0393807
+0.0379126
+0.0363872
+0.0348633
+0.0333545
+0.0318328
+0.030393
+0.0290471
+0.0276533
+0.0263573
+0.0251543
+0.0239117
+0.0225845
+0.0212261
+0.0199832
+0.0187763
+0.0175921
+0.0165136
+0.0154252
+0.0143617
+0.0133887
+0.0126522
+0.0119622
+0.0113405
+0.0102987
+0.00955712
+0.00895869
+0.00876545
+0.00839912
+0.00762366
+0.00714006
+0.00671972
+0.00671851
+0.0069748
+0.00755714
+0.00747298
+0.00778455
+0.00804428
+0.00818319
+0.0083906
+0.00887706
+0.0094984
+0.00993052
+0.0107449
+0.0118344
+0.0131481
+0.0146463
+0.0162524
+0.0179815
+0.0197367
+0.0215666
+0.0234209
+0.0253207
+0.0272532
+0.0284714
+0.026417
+0.0243862
+0.0223763
+0.0203573
+0.0183553
+0.016364
+0.014423
+0.0125624
+0.0106276
+0.00874203
+0.007031
+0.00545496
+0.00423871
+0.00357353
+0.00371819
+0.00446137
+0.00483269
+0.0057225
+0.00674529
+0.00729502
+0.00819166
+0.00941885
+0.0104133
+0.0114981
+0.0127114
+0.0140678
+0.0155412
+0.017107
+0.0187545
+0.0204495
+0.0220507
+0.0236336
+0.0252236
+0.0268622
+0.0285283
+0.0302289
+0.0319891
+0.0337718
+0.0355134
+0.0372945
+0.0457215
+0.0440924
+0.0424894
+0.0409401
+0.0394515
+0.037967
+0.0364678
+0.0350154
+0.0335432
+0.0320257
+0.0305773
+0.0290753
+0.0276654
+0.0263624
+0.0250434
+0.0238056
+0.0224773
+0.0211577
+0.0198894
+0.0185952
+0.0173256
+0.0161715
+0.0150189
+0.0139653
+0.0129676
+0.012076
+0.0113153
+0.0106103
+0.00970245
+0.00875964
+0.00794166
+0.00748512
+0.00730698
+0.00673473
+0.00598144
+0.00549938
+0.00524085
+0.00533518
+0.00579499
+0.00639941
+0.00630261
+0.00673202
+0.00674982
+0.00701052
+0.00730708
+0.0077948
+0.00843691
+0.00885191
+0.00963198
+0.0107501
+0.0121246
+0.0136323
+0.0152838
+0.0170486
+0.0188382
+0.0206954
+0.0225883
+0.0245034
+0.0264612
+0.0276581
+0.025697
+0.0236278
+0.021557
+0.0195123
+0.0175031
+0.0154835
+0.0135002
+0.0115144
+0.00959266
+0.00781377
+0.00590017
+0.00423646
+0.00302482
+0.00230079
+0.00270732
+0.00333761
+0.00373989
+0.00453961
+0.00548743
+0.00601675
+0.00698422
+0.00827523
+0.00917246
+0.010207
+0.0114645
+0.0128268
+0.0143134
+0.0158911
+0.0175874
+0.0193067
+0.0209577
+0.0225053
+0.0240876
+0.0257126
+0.0274127
+0.0291674
+0.0308573
+0.0325964
+0.0343852
+0.0361739
+0.0443694
+0.0427749
+0.0411635
+0.039569
+0.0380269
+0.036551
+0.0350735
+0.0335866
+0.0321557
+0.0307399
+0.029241
+0.0278339
+0.0263934
+0.0250243
+0.0236105
+0.0222792
+0.0210241
+0.0197459
+0.018489
+0.0171985
+0.0159245
+0.01469
+0.0135504
+0.0125165
+0.0115535
+0.0106984
+0.0099709
+0.00941658
+0.00827269
+0.00718881
+0.00646596
+0.00606912
+0.00574419
+0.00501654
+0.00435796
+0.00395026
+0.00381887
+0.00401883
+0.00474112
+0.00498095
+0.00511099
+0.00552399
+0.00545075
+0.00573182
+0.00614654
+0.00680827
+0.00740881
+0.00778906
+0.00859514
+0.00969495
+0.0110748
+0.0126816
+0.0144194
+0.0161462
+0.0179583
+0.0198366
+0.021748
+0.0235961
+0.0254985
+0.026626
+0.0247118
+0.022761
+0.0207996
+0.0188126
+0.0167195
+0.0146549
+0.0126329
+0.0106326
+0.00864658
+0.00673211
+0.0048933
+0.00319429
+0.00182073
+0.00132569
+0.00203825
+0.00207043
+0.00252002
+0.0032847
+0.00429871
+0.00488952
+0.00588615
+0.00706954
+0.00788599
+0.00898941
+0.0102268
+0.0115958
+0.0131336
+0.0147103
+0.0164095
+0.0180882
+0.0197839
+0.0213654
+0.0229696
+0.0246526
+0.0262886
+0.0279671
+0.0297116
+0.0314828
+0.0332654
+0.0350943
+0.0430654
+0.041429
+0.0398425
+0.0382613
+0.0366778
+0.0351453
+0.0336857
+0.032218
+0.0307335
+0.0293289
+0.0278641
+0.0263749
+0.0249271
+0.0235289
+0.0220454
+0.0206439
+0.01935
+0.0181454
+0.0169577
+0.0156907
+0.014406
+0.0132146
+0.0121156
+0.0110844
+0.010132
+0.00937406
+0.00871772
+0.00786648
+0.00686218
+0.00588464
+0.00510811
+0.00473234
+0.00404081
+0.00335985
+0.00278059
+0.00252294
+0.00243541
+0.00297112
+0.00374791
+0.00351128
+0.00398217
+0.00426817
+0.00423064
+0.00461126
+0.00503456
+0.00577883
+0.00657867
+0.00681362
+0.00758522
+0.00877033
+0.0102204
+0.011765
+0.0134729
+0.0153043
+0.0170497
+0.0188563
+0.0207307
+0.0226619
+0.0246366
+0.0254347
+0.0235818
+0.0217792
+0.0198158
+0.0178646
+0.0159029
+0.0139677
+0.0119193
+0.00983824
+0.00779815
+0.00583027
+0.00385893
+0.00207036
+0.000735945
+0.000577578
+0.000832508
+0.00085432
+0.00140383
+0.00209893
+0.00318358
+0.00368412
+0.00471926
+0.00590877
+0.00665442
+0.00771747
+0.00895258
+0.0103542
+0.0118821
+0.0135082
+0.0151472
+0.0168329
+0.0185727
+0.0203257
+0.0218485
+0.0234423
+0.0251239
+0.0268658
+0.0286006
+0.0303944
+0.0322372
+0.0341041
+0.0417732
+0.0401439
+0.0385133
+0.0369317
+0.0353855
+0.0338107
+0.0322991
+0.0308654
+0.0294028
+0.0279314
+0.0263955
+0.0249215
+0.0234032
+0.0219701
+0.020543
+0.0190902
+0.0177224
+0.0164825
+0.0152785
+0.0141003
+0.0129191
+0.0117369
+0.0106588
+0.00958121
+0.00873087
+0.00800972
+0.00736569
+0.00629947
+0.00530167
+0.00468993
+0.00415159
+0.00342393
+0.0023431
+0.00173336
+0.00126383
+0.00107586
+0.00121488
+0.00189596
+0.00236887
+0.00217382
+0.00290104
+0.00308664
+0.00312399
+0.00348907
+0.00401747
+0.00483419
+0.00572112
+0.00595417
+0.00676602
+0.00792701
+0.00936723
+0.0109002
+0.0124715
+0.0142035
+0.016042
+0.0179429
+0.0199035
+0.0218287
+0.0236984
+0.0243824
+0.0224428
+0.0205536
+0.0187303
+0.0168856
+0.0149214
+0.0129698
+0.0110078
+0.00913268
+0.00705381
+0.00504887
+0.00304624
+0.00112836
+-0.000295738
+0.000104365
+-0.000269619
+-0.000253431
+0.000216499
+0.000925823
+0.00211894
+0.00250616
+0.00371872
+0.00471352
+0.00537025
+0.00641433
+0.00766962
+0.00909467
+0.010673
+0.012282
+0.0139025
+0.0156055
+0.0173615
+0.0190905
+0.0206648
+0.0223414
+0.024029
+0.0257686
+0.0275683
+0.0294021
+0.0312543
+0.0331348
+0.0404302
+0.0388033
+0.0372212
+0.0356277
+0.0340538
+0.0325247
+0.0309589
+0.0294102
+0.0279261
+0.0265073
+0.0249663
+0.0234217
+0.0219486
+0.0204465
+0.019042
+0.0175907
+0.0161883
+0.0148726
+0.0137025
+0.0124896
+0.011268
+0.0101881
+0.00916641
+0.00816272
+0.00731811
+0.00653042
+0.00578794
+0.00458619
+0.00382474
+0.00345016
+0.00273725
+0.00173161
+0.000763387
+7.77927e-05
+-0.000257075
+-0.000278756
+0.000153527
+0.00100147
+0.000804434
+0.000996509
+0.00213388
+0.00199632
+0.00204761
+0.0024253
+0.00308054
+0.00389815
+0.00474417
+0.00508435
+0.00591029
+0.00701294
+0.00824119
+0.00974274
+0.0114684
+0.0133313
+0.0152751
+0.0171555
+0.0189801
+0.0208751
+0.022772
+0.0232833
+0.0214234
+0.019484
+0.0175499
+0.0156835
+0.0139119
+0.0119952
+0.0100286
+0.00807954
+0.0061181
+0.00429595
+0.00226908
+0.000233034
+-0.00109984
+-0.000968057
+-0.000728252
+-0.000266767
+-0.000596132
+-0.000162002
+0.00108601
+0.0014187
+0.00273235
+0.00346236
+0.00405905
+0.00509135
+0.00638066
+0.00784811
+0.00941863
+0.011008
+0.0126527
+0.014425
+0.0161582
+0.0179007
+0.0195612
+0.0212278
+0.0229578
+0.0247572
+0.0265728
+0.0284414
+0.030349
+0.0322684
+0.039136
+0.0374736
+0.0358497
+0.0342771
+0.0326708
+0.0311127
+0.0295489
+0.0279652
+0.0264235
+0.0249542
+0.023569
+0.0220174
+0.0204847
+0.0189929
+0.0175178
+0.0160942
+0.0146946
+0.0133736
+0.0120774
+0.0108722
+0.0096981
+0.00859125
+0.00768872
+0.00671224
+0.00583817
+0.00504811
+0.00426675
+0.00302051
+0.00234899
+0.00223431
+0.0011792
+8.96021e-05
+-0.000834531
+-0.00139142
+-0.00120965
+-0.00129127
+-0.00102224
+0.000150126
+-0.000661729
+0.000178764
+0.00100833
+0.000847796
+0.000959878
+0.00143319
+0.00215379
+0.00293431
+0.00358604
+0.00418668
+0.00475128
+0.00586238
+0.00731442
+0.00897244
+0.0106926
+0.0125419
+0.0143616
+0.016223
+0.0180266
+0.0198725
+0.0217816
+0.0222324
+0.0202912
+0.018402
+0.0165571
+0.0145858
+0.0126616
+0.010839
+0.00905763
+0.00711111
+0.00513985
+0.00321466
+0.0012539
+-0.000486321
+-0.00185181
+-0.00112147
+0.000600181
+0.00101297
+0.000614587
+-0.00122145
+1.44477e-05
+0.000108323
+0.00150577
+0.00223381
+0.00277898
+0.00379755
+0.00510609
+0.00665931
+0.0081495
+0.00976323
+0.0114356
+0.0131919
+0.0148961
+0.0166799
+0.01848
+0.0202078
+0.021985
+0.0238105
+0.0256932
+0.0276137
+0.0295484
+0.0315165
+0.0378374
+0.0361883
+0.0345372
+0.0329154
+0.031259
+0.0296356
+0.028082
+0.026507
+0.024973
+0.0234484
+0.0220171
+0.0206378
+0.0190916
+0.0175623
+0.0160237
+0.0145678
+0.0132065
+0.0119006
+0.0105651
+0.00924873
+0.0081082
+0.00708504
+0.00618991
+0.00526742
+0.00433088
+0.00371878
+0.00260609
+0.00151645
+0.00110374
+0.000772142
+-0.000419758
+-0.00101754
+-0.000371476
+-5.87529e-05
+0.000117764
+-9.43848e-05
+-0.000395025
+-0.000865251
+-0.00137551
+-0.000327531
+-0.000266316
+-0.000362315
+-8.83122e-05
+0.00038945
+0.00124837
+0.00189194
+0.00261249
+0.00307935
+0.00378244
+0.00508732
+0.0064216
+0.00806276
+0.00984124
+0.0116458
+0.0133808
+0.0151705
+0.0170432
+0.018984
+0.0209742
+0.0213529
+0.0193261
+0.0173363
+0.0154012
+0.0135259
+0.0116637
+0.0096879
+0.007786
+0.00608159
+0.00418642
+0.00227314
+0.000319084
+-0.00152007
+-0.00278488
+-0.000695128
+0.00143879
+0.00225929
+0.000530174
+-0.00160031
+-0.00113193
+-0.0011042
+0.000609414
+0.00101398
+0.00160155
+0.00261011
+0.00388653
+0.00538261
+0.00686463
+0.00849497
+0.0102293
+0.0119352
+0.0137545
+0.0156161
+0.0175186
+0.0193121
+0.0211416
+0.023034
+0.0249416
+0.0268896
+0.0287558
+0.0306181
+0.0364547
+0.0348528
+0.0332641
+0.0315951
+0.0298907
+0.028242
+0.0266149
+0.0250675
+0.0234798
+0.0219421
+0.0204423
+0.0190548
+0.0176231
+0.0161293
+0.0145853
+0.0130901
+0.0116942
+0.0103845
+0.00903882
+0.00775003
+0.00650852
+0.00548499
+0.00463294
+0.00371817
+0.00290826
+0.00235228
+0.00103561
+-6.07975e-05
+-1.49117e-05
+-0.000849443
+-0.000365842
+0.000434097
+0.000989122
+0.00124222
+0.00101398
+0.00102095
+0.000734879
+-0.000888359
+-0.00165798
+-0.000182125
+2.59529e-06
+-0.000349562
+-0.000860298
+-0.000505985
+0.000312389
+0.000964786
+0.00176883
+0.00231462
+0.00278181
+0.00422722
+0.00546402
+0.00713623
+0.00892396
+0.0106227
+0.0124294
+0.0143254
+0.0162955
+0.0181661
+0.0200942
+0.0203547
+0.0183853
+0.0164719
+0.0144417
+0.0124422
+0.0105151
+0.0086735
+0.00677766
+0.00479123
+0.00298646
+0.00123385
+-0.000419169
+-0.00235779
+-0.00201333
+-0.000608485
+0.000791463
+0.00268292
+0.000526883
+-0.00158694
+-0.00223809
+-0.00221721
+-0.000409418
+-0.000120733
+0.000447675
+0.00138699
+0.00262325
+0.00404892
+0.00559237
+0.00731195
+0.00903914
+0.0108366
+0.0126836
+0.0145852
+0.0165258
+0.0183997
+0.0203304
+0.022286
+0.0240952
+0.0259199
+0.0277456
+0.0296187
+0.0350916
+0.0334735
+0.0318584
+0.0302247
+0.0285705
+0.0268748
+0.025232
+0.0236142
+0.0220616
+0.0204732
+0.018933
+0.0174685
+0.0160568
+0.0146054
+0.0131736
+0.0116715
+0.010253
+0.00888347
+0.00758315
+0.00631796
+0.00498301
+0.00385309
+0.00305484
+0.00228579
+0.00150748
+0.000887421
+-0.000554976
+-0.00102357
+-0.00139277
+-0.000734147
+0.000941803
+0.00192337
+0.00224097
+0.00247096
+0.00216502
+0.00203222
+0.000906071
+-0.00122475
+-0.000637876
+0.00115741
+0.0011667
+0.000790943
+0.000128984
+-0.00070036
+-0.000641566
+0.000115586
+0.000955942
+0.00146102
+0.00215506
+0.003079
+0.00461434
+0.00639103
+0.00808233
+0.00989057
+0.0116796
+0.0134681
+0.0153611
+0.0173244
+0.0192953
+0.0193703
+0.0174375
+0.015469
+0.0134979
+0.0116057
+0.00957166
+0.00755384
+0.00563127
+0.00391985
+0.00195535
+-5.9384e-05
+-0.00150217
+-0.00252833
+-0.00103911
+9.09707e-05
+0.00188869
+0.00288977
+0.00082738
+-0.00108981
+-0.00250726
+-0.00196706
+-0.000264002
+-0.000887546
+-0.000779533
+0.000129711
+0.00136371
+0.00276858
+0.00437456
+0.00615219
+0.00792352
+0.00975315
+0.0116749
+0.0136077
+0.0155298
+0.0174836
+0.0193959
+0.0213037
+0.0230893
+0.0249273
+0.0268068
+0.0286905
+0.0336974
+0.032078
+0.0304196
+0.028795
+0.0271671
+0.025545
+0.0238799
+0.0222317
+0.0206423
+0.0190769
+0.0174654
+0.0159506
+0.0144863
+0.0130336
+0.0116302
+0.0102684
+0.00888336
+0.00744931
+0.00614997
+0.00499253
+0.00340302
+0.0022592
+0.00154496
+0.000785783
+3.90571e-05
+-0.000664541
+5.80592e-05
+-0.000765302
+-0.00127378
+0.000491757
+0.00217056
+0.00355274
+0.00363837
+0.00362456
+0.00339523
+0.00255976
+0.000449106
+-0.00103888
+0.0003078
+0.00216913
+0.00223842
+0.00181634
+0.000927586
+0.000260115
+-0.00054979
+-0.000632851
+7.96472e-05
+0.000921543
+0.00101237
+0.00269145
+0.00393838
+0.00563002
+0.007311
+0.00894014
+0.0107634
+0.0126817
+0.0146138
+0.0164445
+0.0182972
+0.0185281
+0.0165029
+0.014519
+0.0126038
+0.0105951
+0.00862028
+0.00677124
+0.00476043
+0.00268515
+0.000841676
+-0.000345614
+-0.00237507
+-0.00163626
+-0.000297931
+0.00135714
+0.00270686
+0.00329913
+0.00138441
+-0.000242738
+-0.00113403
+-0.00108819
+0.000212244
+0.000348366
+-0.000688487
+-0.00111174
+0.000110677
+0.00157451
+0.00324295
+0.00503611
+0.00688215
+0.00877679
+0.0107463
+0.0126736
+0.0145724
+0.0165237
+0.018514
+0.0202949
+0.0221134
+0.0239529
+0.0258339
+0.0276689
+0.0323219
+0.030703
+0.0290109
+0.0273455
+0.025731
+0.0241198
+0.0225322
+0.0209109
+0.0192623
+0.0176638
+0.0160948
+0.0144957
+0.0130031
+0.0114588
+0.0100562
+0.0087407
+0.00751278
+0.00618204
+0.00489852
+0.00368156
+0.00197986
+0.000756285
+-8.5657e-05
+-0.000547866
+2.63054e-05
+0.000746936
+0.000250953
+-0.00114816
+2.21567e-05
+0.00165251
+0.00336938
+0.00502596
+0.00495726
+0.00464161
+0.00432439
+0.00234308
+0.000613013
+8.59317e-05
+0.00146588
+0.0031603
+0.00322253
+0.00280335
+0.00188367
+0.00115226
+0.000389099
+-0.000749651
+-0.000798182
+0.000377437
+0.00118903
+0.00218614
+0.00384452
+0.00495048
+0.006517
+0.00830342
+0.0100767
+0.0118309
+0.0137015
+0.0154784
+0.017311
+0.0178694
+0.0157768
+0.013715
+0.0116932
+0.00971534
+0.00783099
+0.00574566
+0.00375574
+0.00214265
+0.000370309
+-0.00174903
+-0.00283252
+-0.00134025
+-0.000262438
+0.00165358
+0.00352227
+0.00391365
+0.00218052
+0.000809406
+0.000191635
+-0.000174055
+0.0012051
+0.0014772
+0.000519417
+-0.000516198
+-0.000994615
+0.000518956
+0.00225151
+0.00402752
+0.00595573
+0.00796617
+0.00980354
+0.0117299
+0.0136689
+0.0156598
+0.0175032
+0.0192934
+0.021139
+0.0229264
+0.0247776
+0.0266803
+0.0310403
+0.0293507
+0.0276682
+0.025949
+0.0242775
+0.0226762
+0.0210748
+0.0195358
+0.0179223
+0.0162693
+0.0146725
+0.0131109
+0.0115934
+0.00997729
+0.00848251
+0.00718154
+0.00599395
+0.0049024
+0.00386171
+0.00234306
+0.000652865
+-0.000609077
+8.10007e-05
+0.000795194
+0.00155885
+0.00126216
+0.000232249
+0.000141349
+0.00145957
+0.00311014
+0.00472622
+0.00622047
+0.00620296
+0.00586398
+0.00411715
+0.00233798
+0.00117553
+0.00112369
+0.00234345
+0.00419089
+0.00424396
+0.00357739
+0.00271484
+0.00192799
+0.00122697
+8.2716e-05
+-0.00133813
+-0.000480447
+0.000965601
+0.00217529
+0.00306366
+0.00448052
+0.00599032
+0.00748639
+0.00922702
+0.0110147
+0.0127633
+0.0146309
+0.0165576
+0.0167192
+0.0153089
+0.0131804
+0.0110686
+0.00899459
+0.00698284
+0.00505825
+0.0031412
+0.00100391
+-0.00066513
+-0.00210785
+-0.00247219
+-0.000684608
+0.000973575
+0.00223287
+0.00403321
+0.00463756
+0.00302598
+0.00183193
+0.00132893
+0.000853599
+0.00169465
+0.00259371
+0.0016468
+0.000626985
+-0.0008982
+-0.000502026
+0.00128134
+0.00314177
+0.00505562
+0.00698139
+0.00888254
+0.0108637
+0.01289
+0.014782
+0.0165437
+0.0182665
+0.0200694
+0.0219429
+0.0238455
+0.0257578
+0.029632
+0.0280497
+0.0263203
+0.0245994
+0.0228968
+0.0212182
+0.0196196
+0.0180297
+0.016509
+0.0149636
+0.0132927
+0.0117127
+0.0101945
+0.0085721
+0.00699967
+0.00561487
+0.00449757
+0.0034756
+0.00270305
+0.000991464
+-0.000195165
+0.000664468
+0.00149363
+0.00205233
+0.00243321
+0.00138995
+0.00108277
+0.00158867
+0.00299322
+0.00447488
+0.00619757
+0.00728753
+0.00734379
+0.00608015
+0.00437788
+0.00300345
+0.00221202
+0.00244031
+0.00350068
+0.0051302
+0.00513121
+0.00429776
+0.00347648
+0.00288964
+0.00213905
+0.00103791
+-0.000241435
+-0.00129609
+0.000246968
+0.00149727
+0.00273021
+0.00399873
+0.00525788
+0.00689584
+0.00849785
+0.0102165
+0.0120812
+0.0140024
+0.0150237
+0.0145789
+0.014456
+0.0126569
+0.0106493
+0.00872494
+0.0066226
+0.00451086
+0.00245232
+0.000629196
+-0.000800954
+-0.00273888
+-0.00186369
+6.83924e-05
+0.00191004
+0.0038768
+0.00522148
+0.00538519
+0.00389937
+0.00279516
+0.00220555
+0.00188169
+0.00242669
+0.003716
+0.00272801
+0.00171064
+0.000212553
+-0.00131403
+0.000318304
+0.00221548
+0.00415124
+0.0061282
+0.0080513
+0.0100651
+0.0120974
+0.0137273
+0.0154479
+0.0172651
+0.0191252
+0.0210103
+0.0229498
+0.024931
+0.0282272
+0.026612
+0.0250648
+0.0232764
+0.021539
+0.0198588
+0.0181722
+0.0165693
+0.0150062
+0.013471
+0.0119142
+0.0103135
+0.00881404
+0.00719937
+0.00559281
+0.00415272
+0.00294061
+0.00195811
+0.00177532
+0.000643196
+0.00117488
+0.00200383
+0.00278078
+0.00349515
+0.00260005
+0.00197677
+0.00219657
+0.00318042
+0.00435922
+0.00594503
+0.00754831
+0.00846755
+0.00808318
+0.00634393
+0.00472897
+0.0035322
+0.00316779
+0.00350508
+0.00451404
+0.00600401
+0.00602907
+0.00508339
+0.00426331
+0.00381224
+0.00317219
+0.00207614
+0.000719059
+-0.00101326
+-0.000685164
+0.00100608
+0.00184324
+0.00346109
+0.00488477
+0.00629133
+0.00795387
+0.00980807
+0.0114923
+0.0132247
+0.0129672
+0.0124563
+0.0123122
+0.011859
+0.00989128
+0.00803978
+0.00608575
+0.00410892
+0.00242169
+0.00044718
+-0.00149796
+-0.00307614
+-0.00130417
+0.000802715
+0.00290242
+0.00473977
+0.00663707
+0.00628388
+0.0048773
+0.00383017
+0.00329409
+0.00285655
+0.00322713
+0.00433668
+0.00382131
+0.00283393
+0.00139739
+-7.76667e-05
+-0.000570645
+0.00135789
+0.0032494
+0.00524272
+0.00726319
+0.00917674
+0.0110528
+0.0127441
+0.0145235
+0.0163523
+0.0182609
+0.0201527
+0.0220673
+0.0240192
+0.026857
+0.0252187
+0.0236088
+0.0220798
+0.0202451
+0.0184859
+0.0167929
+0.0151361
+0.0135321
+0.0120071
+0.0104567
+0.00889854
+0.00738689
+0.00577933
+0.0042188
+0.0027498
+0.00132507
+0.000425999
+0.00154223
+0.00179527
+0.00256058
+0.00342699
+0.00422905
+0.00377845
+0.00316264
+0.00317756
+0.00376218
+0.00460523
+0.00593803
+0.0073423
+0.00895732
+0.00959353
+0.0080567
+0.00654614
+0.00521696
+0.00439381
+0.00424524
+0.00471787
+0.00569375
+0.0070974
+0.00685945
+0.00596394
+0.00506411
+0.00463329
+0.00414819
+0.00308493
+0.00162024
+-9.75304e-05
+-0.00147432
+0.000338662
+0.00188227
+0.00310075
+0.0045207
+0.00609836
+0.00755567
+0.00912583
+0.010664
+0.011862
+0.0109451
+0.010362
+0.0101883
+0.0104402
+0.00918737
+0.00715601
+0.00525426
+0.00347126
+0.00153079
+9.42331e-05
+-0.00188223
+-0.00182636
+-0.000108497
+0.00144522
+0.00347156
+0.00559808
+0.00771499
+0.007218
+0.00592196
+0.00501104
+0.00456638
+0.00391631
+0.0040682
+0.00499117
+0.00499865
+0.00403797
+0.00255872
+0.000967558
+-0.00100464
+0.00041277
+0.00239354
+0.00436531
+0.00636121
+0.00844838
+0.0102013
+0.0118891
+0.0136207
+0.0154131
+0.0172975
+0.0192263
+0.0211277
+0.0230475
+0.0254872
+0.023826
+0.0222249
+0.0206186
+0.0191099
+0.0172354
+0.0154444
+0.0137403
+0.0120869
+0.0105087
+0.00899594
+0.0074566
+0.00593384
+0.00431307
+0.00275884
+0.00136671
+-0.000183457
+0.00031562
+0.00217881
+0.00309072
+0.00389997
+0.00473635
+0.00485316
+0.00408854
+0.00395676
+0.00432642
+0.00512923
+0.00625995
+0.00741912
+0.00886183
+0.0103929
+0.00970288
+0.00814606
+0.00683987
+0.00577387
+0.00517486
+0.00523327
+0.00585718
+0.00693324
+0.00821139
+0.0075925
+0.00678817
+0.00598165
+0.00546803
+0.00495727
+0.00384636
+0.00243197
+0.000709515
+-0.00116376
+-0.000505891
+0.00133759
+0.00256312
+0.0040243
+0.00528118
+0.00674396
+0.00815195
+0.00984353
+0.0100949
+0.00900219
+0.00831744
+0.00810009
+0.00840039
+0.00841389
+0.00657978
+0.00478646
+0.00293178
+0.000775239
+-0.00104632
+-0.00235997
+-0.000816072
+0.0010758
+0.00277233
+0.00445828
+0.00636776
+0.00833543
+0.00821332
+0.00703367
+0.00618358
+0.00556883
+0.0049487
+0.00505445
+0.00584138
+0.00627939
+0.00515419
+0.00337092
+0.00135969
+-0.00035309
+-0.000438897
+0.0015572
+0.00356744
+0.00562499
+0.00759796
+0.00916728
+0.0108161
+0.0126266
+0.0145038
+0.0163231
+0.018223
+0.0201611
+0.0221432
+0.02422
+0.0224795
+0.0208139
+0.0192224
+0.0176624
+0.0160549
+0.0142637
+0.0124307
+0.0107137
+0.00902356
+0.00745373
+0.00596899
+0.00447195
+0.00292579
+0.00127902
+-8.47894e-05
+-0.000136174
+0.0015563
+0.00315576
+0.00428899
+0.00523819
+0.00597153
+0.00546515
+0.00492952
+0.0050039
+0.00548526
+0.00648463
+0.00762732
+0.00905279
+0.0103827
+0.011723
+0.010028
+0.00849221
+0.00724992
+0.00634835
+0.00592434
+0.00593386
+0.00652014
+0.00761476
+0.00900452
+0.00849086
+0.00764214
+0.00691294
+0.00632636
+0.00568984
+0.00445084
+0.00304648
+0.00135297
+-0.000327959
+-0.00135301
+0.000449933
+0.0021791
+0.00321073
+0.00472042
+0.00612306
+0.00762703
+0.009086
+0.00844309
+0.00719809
+0.00636175
+0.00608436
+0.00646015
+0.00740401
+0.00568776
+0.00380126
+0.00235126
+0.000595051
+-0.00139774
+-0.00109482
+-8.77442e-06
+0.0014779
+0.00340721
+0.00551322
+0.00749791
+0.00931531
+0.00922208
+0.00809028
+0.00722854
+0.00663458
+0.00606081
+0.00608683
+0.00668701
+0.00747457
+0.00584806
+0.00371903
+0.00153918
+-0.000642395
+-0.00128758
+0.0007429
+0.00273799
+0.00473764
+0.00658627
+0.00816267
+0.00988143
+0.0115973
+0.0134517
+0.0153686
+0.017345
+0.0193177
+0.0213148
+0.0230526
+0.0212438
+0.0195
+0.0178274
+0.0162442
+0.01474
+0.0129882
+0.011278
+0.00942156
+0.0076482
+0.00598832
+0.00444023
+0.00297736
+0.00153821
+-0.000145384
+-0.000309745
+0.00115635
+0.00274647
+0.00432601
+0.00532257
+0.00630977
+0.00679433
+0.00628562
+0.006089
+0.00626995
+0.00676412
+0.0077169
+0.00901163
+0.0103669
+0.011866
+0.0121789
+0.010557
+0.0090934
+0.00794799
+0.00726773
+0.0069171
+0.00699838
+0.00751259
+0.00848083
+0.0097994
+0.00948697
+0.00867566
+0.00791878
+0.00730595
+0.00638128
+0.00499531
+0.0035818
+0.00187712
+0.000280045
+-0.00139973
+-0.000406312
+0.00122772
+0.00291831
+0.00435278
+0.00541626
+0.00681638
+0.008132
+0.00696596
+0.00563498
+0.0045376
+0.0041642
+0.00467588
+0.00588039
+0.00538863
+0.00350219
+0.0019342
+7.79336e-05
+-0.00173392
+0.000125304
+0.0010018
+0.00275253
+0.00446257
+0.00623498
+0.00820121
+0.0102588
+0.0102553
+0.00920065
+0.00836399
+0.00761424
+0.0070192
+0.00698863
+0.00754646
+0.00818536
+0.00599663
+0.00380929
+0.00162918
+-0.000456106
+-0.00187676
+-4.42529e-05
+0.00197953
+0.00403308
+0.00562791
+0.0070896
+0.00881574
+0.0106727
+0.0125508
+0.0144898
+0.0164896
+0.0184709
+0.0204662
+0.0219182
+0.0201081
+0.0183082
+0.0165609
+0.0148714
+0.0132697
+0.0117106
+0.00994091
+0.00819604
+0.00643009
+0.00460178
+0.00293811
+0.0014607
+0.000133912
+-0.000478319
+0.00107244
+0.00265775
+0.00407339
+0.00549642
+0.00648859
+0.00748927
+0.00737794
+0.00693373
+0.00698185
+0.00761165
+0.00831772
+0.00916563
+0.0103223
+0.0117372
+0.0132293
+0.0124381
+0.0110508
+0.00971458
+0.00865155
+0.00805754
+0.00793497
+0.00838911
+0.00886047
+0.00970967
+0.0109079
+0.0105175
+0.00966703
+0.0090604
+0.00819386
+0.00707518
+0.00568265
+0.0042031
+0.00260705
+0.00101695
+-0.000731159
+-0.00135182
+0.000395839
+0.00200878
+0.0038301
+0.00488099
+0.00619104
+0.0072361
+0.00586174
+0.00424954
+0.003142
+0.00264628
+0.00332205
+0.00479314
+0.00524317
+0.00353941
+0.00184361
+-0.00022524
+-0.000355989
+0.00129591
+0.00247933
+0.00376719
+0.00538808
+0.00714624
+0.00902521
+0.0110132
+0.0110811
+0.00998755
+0.00920742
+0.00829501
+0.00783496
+0.00782195
+0.00819526
+0.00802989
+0.00584429
+0.00366425
+0.00149358
+-0.00058103
+-0.0021389
+-0.000712951
+0.00141244
+0.00333451
+0.00451522
+0.00606579
+0.00782474
+0.00973274
+0.0116966
+0.0136275
+0.0156271
+0.0176702
+0.0197236
+0.0208455
+0.0189491
+0.0170995
+0.015339
+0.0136729
+0.0119429
+0.0103595
+0.0086773
+0.00688835
+0.00512469
+0.00338231
+0.00159334
+-6.24436e-05
+-0.000672481
+0.000943235
+0.00246902
+0.00400881
+0.00550641
+0.00668054
+0.00778423
+0.00844657
+0.00804796
+0.00788712
+0.00811087
+0.00868622
+0.00970537
+0.0108095
+0.0118532
+0.0131123
+0.0139182
+0.0124933
+0.0112286
+0.01019
+0.00932704
+0.00877885
+0.00875545
+0.00914807
+0.00984858
+0.0108975
+0.0121904
+0.0114899
+0.0108005
+0.0101539
+0.00917642
+0.00781062
+0.00646927
+0.00507805
+0.00352384
+0.00181651
+1.7921e-05
+-0.00156686
+-0.000430652
+0.0012949
+0.00303935
+0.00469349
+0.00581269
+0.0064213
+0.00523661
+0.00345032
+0.00205682
+0.00181453
+0.00266595
+0.00427772
+0.00464761
+0.00398678
+0.00274485
+0.00143586
+0.0015268
+0.00273331
+0.00431138
+0.00539821
+0.0067399
+0.00832947
+0.0100594
+0.0118829
+0.011953
+0.0109059
+0.0100386
+0.00924082
+0.00875702
+0.00869007
+0.00903109
+0.00799225
+0.0058035
+0.00361633
+0.00143831
+-0.000709852
+-0.0028088
+-0.00130258
+0.000715923
+0.00214407
+0.00338441
+0.00506997
+0.00688429
+0.00882301
+0.0108264
+0.012876
+0.0149024
+0.0169575
+0.0190428
+0.0197863
+0.0178652
+0.0159766
+0.0141286
+0.0123333
+0.0106803
+0.00904151
+0.00750061
+0.00564219
+0.00383248
+0.00206399
+0.000347942
+-0.00102511
+0.000698968
+0.00232746
+0.00378822
+0.00535613
+0.00684459
+0.00794216
+0.00891333
+0.00908464
+0.00882226
+0.00892492
+0.00920955
+0.00993716
+0.0109364
+0.0121597
+0.0135204
+0.0146605
+0.0140197
+0.0126479
+0.0114528
+0.0105089
+0.00973039
+0.0093563
+0.0094375
+0.00986325
+0.0106225
+0.0116692
+0.0129857
+0.012421
+0.0118273
+0.0110527
+0.0100734
+0.00872483
+0.00737025
+0.00605247
+0.00453643
+0.00280916
+0.00125422
+-2.15167e-05
+8.75573e-05
+0.00139892
+0.00307183
+0.00502328
+0.0055354
+0.00554631
+0.00465137
+0.002869
+0.00120969
+0.000886049
+0.00221931
+0.00395708
+0.00479221
+0.00419157
+0.00420674
+0.00355922
+0.00361777
+0.00447528
+0.00582029
+0.00709341
+0.00836775
+0.00975177
+0.0113477
+0.0130568
+0.0129937
+0.0120123
+0.0111216
+0.0102592
+0.00973067
+0.00968087
+0.0100505
+0.00814269
+0.00599957
+0.0039085
+0.00175926
+-0.000261651
+-0.00209416
+-0.00197643
+5.08104e-05
+0.00107758
+0.0022952
+0.00407981
+0.00606032
+0.00804747
+0.0100767
+0.0121618
+0.0142786
+0.0164148
+0.018556
+0.0188445
+0.0168793
+0.0149056
+0.0129995
+0.0111337
+0.0093567
+0.00771261
+0.00614603
+0.00449269
+0.00264588
+0.000805626
+-0.000953148
+0.000133469
+0.00194584
+0.00361861
+0.005163
+0.00670636
+0.00824242
+0.00930765
+0.0101992
+0.00988074
+0.00986311
+0.0100222
+0.0104378
+0.011189
+0.0121967
+0.0134166
+0.0148155
+0.0156136
+0.0142274
+0.0128951
+0.0117716
+0.0108985
+0.0104203
+0.0101081
+0.0101486
+0.0105955
+0.0114248
+0.0125354
+0.0138972
+0.0133997
+0.0128984
+0.0121189
+0.0109773
+0.00980858
+0.00849648
+0.00717699
+0.00573009
+0.00414567
+0.00283813
+0.00197666
+0.00209302
+0.0028435
+0.00409795
+0.00560268
+0.00513933
+0.00389457
+0.00258883
+0.00173245
+0.00018491
+2.32305e-06
+0.00123399
+0.00218514
+0.00299455
+0.00316609
+0.0041822
+0.00572483
+0.00577048
+0.00639404
+0.00754286
+0.00867414
+0.0099638
+0.0113566
+0.0128049
+0.0143957
+0.0138719
+0.0129244
+0.0119912
+0.011224
+0.0108113
+0.0107665
+0.010771
+0.00865082
+0.00657705
+0.00458923
+0.00268544
+0.000926073
+-0.000591471
+-0.000475529
+-0.0007343
+-8.54633e-05
+0.00136903
+0.00326401
+0.00531336
+0.00744344
+0.00960085
+0.0117669
+0.0139192
+0.0160819
+0.0182362
+0.0175864
+0.0157817
+0.0139807
+0.0120159
+0.0100422
+0.00815404
+0.00637058
+0.0047675
+0.00340476
+0.00152189
+-0.000308797
+-0.00124816
+0.000497115
+0.00223703
+0.00408155
+0.00600538
+0.00786544
+0.00966693
+0.0106978
+0.0110271
+0.0107951
+0.0108607
+0.0112163
+0.011685
+0.0124868
+0.0135203
+0.0147099
+0.0160323
+0.0157239
+0.0144183
+0.0132527
+0.0122989
+0.0115015
+0.0110472
+0.0109498
+0.0111514
+0.0115649
+0.0123537
+0.0134211
+0.0147006
+0.0143466
+0.0140475
+0.0131574
+0.0119399
+0.0108341
+0.00978752
+0.00845169
+0.00717835
+0.005793
+0.00471979
+0.00412637
+0.0042195
+0.00475445
+0.00565786
+0.00502788
+0.00372237
+0.00240614
+0.000866028
+-9.5542e-05
+-0.00125072
+-0.00138505
+-0.000503691
+0.000381319
+0.00132992
+0.00202579
+0.00333525
+0.00511505
+0.00688359
+0.00842185
+0.00934759
+0.0104621
+0.0115672
+0.0129137
+0.0142979
+0.0155771
+0.0144406
+0.0135433
+0.0126052
+0.0119643
+0.0116271
+0.0116173
+0.0114631
+0.00948425
+0.00756507
+0.00569771
+0.00399534
+0.00249779
+0.000816371
+-0.000668021
+-0.00170113
+-0.000722609
+0.000837736
+0.00294336
+0.00510019
+0.00727717
+0.00946049
+0.0116465
+0.0136947
+0.0156701
+0.0176445
+0.0164626
+0.0145777
+0.0127246
+0.0109687
+0.00909024
+0.00714911
+0.0052277
+0.00345048
+0.0020941
+0.000504923
+-0.00137599
+-0.00173095
+0.000303722
+0.00238161
+0.00449586
+0.00654589
+0.00853772
+0.010519
+0.012146
+0.0119224
+0.0118779
+0.0119732
+0.0123554
+0.0130001
+0.0138039
+0.0148197
+0.0160404
+0.0173702
+0.0160154
+0.0147063
+0.0135891
+0.0127534
+0.012161
+0.0118581
+0.0118144
+0.0121113
+0.0127187
+0.0134522
+0.0144717
+0.0156935
+0.0152798
+0.0149175
+0.0142207
+0.0130604
+0.0120517
+0.0110718
+0.00992306
+0.00873004
+0.00760163
+0.00673839
+0.00629272
+0.00637441
+0.00679623
+0.00581496
+0.00378437
+0.00193536
+0.000638813
+-0.000162311
+-0.00205215
+-0.00300202
+-0.00319147
+-0.00242185
+-0.00124842
+4.94585e-06
+0.00114967
+0.00267258
+0.00463412
+0.0065568
+0.00816626
+0.00996875
+0.011851
+0.0133387
+0.0145449
+0.0158688
+0.0162373
+0.0151508
+0.0141677
+0.0132865
+0.0126759
+0.0124027
+0.0123641
+0.01245
+0.0105653
+0.00875592
+0.00708197
+0.00553721
+0.0036208
+0.00183163
+2.95553e-05
+-0.00167096
+-0.000932073
+0.000826224
+0.00292606
+0.00503006
+0.00717134
+0.00911301
+0.0110546
+0.0130705
+0.0150712
+0.0170245
+0.0155024
+0.0135032
+0.0115735
+0.00969224
+0.00789301
+0.00614548
+0.00421541
+0.00231892
+0.000772031
+-0.000496657
+-0.00222217
+-0.000655345
+0.00117096
+0.00311089
+0.00508954
+0.00715983
+0.00920032
+0.0112972
+0.012787
+0.0126563
+0.0128217
+0.0131711
+0.0135553
+0.0142329
+0.015167
+0.0162048
+0.0173566
+0.0178991
+0.0164676
+0.0152001
+0.014122
+0.0133095
+0.012762
+0.0125366
+0.0126584
+0.0130481
+0.0135535
+0.0143624
+0.0154212
+0.0166678
+0.0163954
+0.016026
+0.0154403
+0.0144135
+0.013446
+0.012564
+0.0115216
+0.010476
+0.00954451
+0.0088222
+0.0084704
+0.00854742
+0.00774972
+0.00556498
+0.00338793
+0.00122657
+-0.000790145
+-0.00204642
+-0.00320315
+-0.00494373
+-0.00518396
+-0.00422698
+-0.00301893
+-0.00122386
+0.000529018
+0.00250545
+0.00435639
+0.00621443
+0.00813851
+0.0100158
+0.0119163
+0.0138983
+0.0158398
+0.0175644
+0.0169829
+0.0159384
+0.0149776
+0.0141013
+0.0134416
+0.0130854
+0.0130392
+0.0132972
+0.0118327
+0.0101727
+0.0084653
+0.00667167
+0.00483686
+0.00269937
+0.000543754
+-0.00158611
+-0.00169984
+0.00031359
+0.00239593
+0.00452002
+0.00654913
+0.00848293
+0.010479
+0.0123695
+0.0143403
+0.0163604
+0.0147736
+0.0126813
+0.0106231
+0.00860581
+0.00669826
+0.0048318
+0.00307824
+0.00126739
+-0.000572165
+-0.00156073
+-0.00119314
+0.000679421
+0.00239591
+0.00416563
+0.00602919
+0.0079735
+0.00995311
+0.0119831
+0.0135015
+0.0134843
+0.0137653
+0.0142917
+0.0149115
+0.0155682
+0.0164477
+0.0175468
+0.0187735
+0.0184222
+0.0170148
+0.0157824
+0.0147455
+0.0139654
+0.013441
+0.0132203
+0.0133359
+0.0137805
+0.0145128
+0.0153886
+0.0163921
+0.0175809
+0.017685
+0.0173288
+0.0168092
+0.0158856
+0.0149892
+0.0141985
+0.0132685
+0.0123579
+0.0115466
+0.0109478
+0.0104162
+0.00960172
+0.00742031
+0.00524664
+0.00309704
+0.00104768
+-0.000874869
+-0.00303456
+-0.00495806
+-0.00629695
+-0.00705945
+-0.00565498
+-0.00378825
+-0.00174493
+0.000102792
+0.00199491
+0.00400686
+0.00587742
+0.00784725
+0.0098269
+0.0117969
+0.0138333
+0.0159109
+0.0180152
+0.0178903
+0.0167766
+0.0156964
+0.0148435
+0.0142212
+0.0138638
+0.0138082
+0.014003
+0.0132668
+0.011483
+0.00931394
+0.00714517
+0.00499555
+0.00290201
+0.000861984
+-0.000948652
+-0.00119867
+-0.000156605
+0.00192374
+0.00387723
+0.00585437
+0.00781557
+0.00969739
+0.0116437
+0.0136571
+0.0156489
+0.0143145
+0.0121482
+0.00999247
+0.00785618
+0.00575543
+0.00371106
+0.00180638
+1.49706e-05
+-0.00175417
+-0.00269085
+-0.000763142
+0.00134233
+0.0034674
+0.00547349
+0.00720901
+0.0090175
+0.0109069
+0.0128625
+0.0144547
+0.0144274
+0.0146997
+0.0152249
+0.0160135
+0.0170129
+0.0178448
+0.0188709
+0.0200764
+0.0191439
+0.0177784
+0.0165775
+0.0155845
+0.0147984
+0.0142982
+0.0140937
+0.0142022
+0.0146178
+0.0153155
+0.0162364
+0.0172451
+0.0184166
+0.0191021
+0.0187672
+0.0183302
+0.0174878
+0.0165292
+0.0149575
+0.0135546
+0.0122126
+0.01105
+0.00981307
+0.00885544
+0.00818215
+0.00752063
+0.00538759
+0.00322785
+0.00108522
+-0.000924363
+-0.00310242
+-0.00519909
+-0.00726976
+-0.00767097
+-0.00551171
+-0.00339297
+-0.00134434
+0.000576418
+0.00224154
+0.00399356
+0.00584718
+0.00782435
+0.00971346
+0.0117025
+0.013753
+0.0158411
+0.0177689
+0.0186054
+0.0173803
+0.0163227
+0.0154869
+0.0148966
+0.0145127
+0.0144152
+0.0146385
+0.0138824
+0.0117051
+0.00953394
+0.00737433
+0.00524056
+0.00318248
+0.00131791
+-0.000229495
+-0.000632818
+-0.000626965
+0.00141982
+0.00320435
+0.00511782
+0.00706032
+0.00898324
+0.0109333
+0.0129317
+0.0149535
+0.0138992
+0.0118773
+0.0097876
+0.00759794
+0.00540909
+0.00322178
+0.00103559
+-0.00115054
+-0.00296139
+-0.00168519
+8.47674e-05
+0.00193665
+0.00399389
+0.00612848
+0.00828055
+0.0102823
+0.0120411
+0.0138945
+0.0156091
+0.0156006
+0.0158426
+0.0163329
+0.0170889
+0.018038
+0.0191826
+0.0203386
+0.0204503
+0.0191111
+0.0179403
+0.016923
+0.0161352
+0.0156173
+0.0153965
+0.0151938
+0.0152945
+0.0157032
+0.0163546
+0.0171603
+0.0181699
+0.0193337
+0.0206387
+0.020333
+0.0186437
+0.0169711
+0.0153248
+0.0137626
+0.0122458
+0.0108889
+0.00973993
+0.00854001
+0.00761179
+0.00679951
+0.00630002
+0.00559923
+0.00355073
+0.00167919
+-0.000481798
+-0.00264434
+-0.00481813
+-0.00700247
+-0.00802323
+-0.00599093
+-0.00398964
+-0.00205458
+-0.000276017
+0.00147491
+0.0033658
+0.0051825
+0.00717334
+0.00922354
+0.0111712
+0.0129882
+0.014857
+0.0167009
+0.0185477
+0.0178688
+0.016873
+0.0160895
+0.0155096
+0.0152257
+0.0152024
+0.0154657
+0.0141227
+0.0119892
+0.00988059
+0.00779834
+0.00573227
+0.00378723
+0.00211802
+0.000535755
+-0.000110607
+-0.000593058
+0.000664869
+0.00253816
+0.00445982
+0.00642723
+0.00830676
+0.0102451
+0.0122565
+0.0143194
+0.0132785
+0.0112368
+0.00924266
+0.00722388
+0.00530383
+0.00336045
+0.0013947
+-0.000508311
+-0.00136775
+-0.000361982
+0.00130005
+0.00309598
+0.00488836
+0.00681453
+0.00885122
+0.010916
+0.013022
+0.0150844
+0.016744
+0.016894
+0.0171271
+0.0176066
+0.0183101
+0.0192369
+0.0203144
+0.021561
+0.0204961
+0.0191602
+0.0179825
+0.0169625
+0.0161767
+0.0156601
+0.0154058
+0.0154349
+0.0157712
+0.0163801
+0.0172012
+0.0182497
+0.0192503
+0.0203693
+0.0214597
+0.0195385
+0.0176801
+0.0159065
+0.0142021
+0.0125002
+0.0109732
+0.0096844
+0.00834919
+0.00717658
+0.00616048
+0.00559683
+0.0051691
+0.0048926
+0.00285354
+0.000869816
+-0.000952903
+-0.00292345
+-0.00498519
+-0.00711928
+-0.00875928
+-0.00676597
+-0.0049018
+-0.00319415
+-0.00130956
+0.000601027
+0.0023105
+0.00434165
+0.00637052
+0.00817852
+0.0101092
+0.0119395
+0.0137833
+0.0156881
+0.0175261
+0.0185851
+0.017625
+0.0168699
+0.0163585
+0.0160902
+0.0160991
+0.0163496
+0.0145752
+0.0124735
+0.0104087
+0.00840774
+0.00648756
+0.00458833
+0.00291318
+0.00133076
+0.000409412
+2.82265e-05
+4.98413e-05
+0.00191821
+0.00379366
+0.00569692
+0.00769765
+0.00965507
+0.0116222
+0.0136451
+0.0128819
+0.0108432
+0.00878177
+0.00679705
+0.00484091
+0.0030559
+0.00163713
+0.000514631
+0.000456348
+0.0012478
+0.00251619
+0.00418987
+0.0061465
+0.00791807
+0.00977396
+0.0117093
+0.0137213
+0.0157715
+0.0178423
+0.0182152
+0.0185486
+0.0190024
+0.0196555
+0.0205228
+0.021571
+0.0221933
+0.0207356
+0.0194161
+0.0182549
+0.0172511
+0.016479
+0.0159722
+0.0157229
+0.0157514
+0.0160812
+0.0166714
+0.0174858
+0.0185182
+0.0197406
+0.0210995
+0.0206311
+0.0187196
+0.0168655
+0.0150263
+0.0132579
+0.011519
+0.00984097
+0.0083811
+0.00720259
+0.00597066
+0.00509378
+0.00447435
+0.00398699
+0.00365997
+0.00226297
+0.000300027
+-0.00175745
+-0.00390097
+-0.00579114
+-0.00774881
+-0.00970409
+-0.00789063
+-0.00614161
+-0.00410302
+-0.00218095
+-0.000451355
+0.00146236
+0.00338646
+0.00526144
+0.00727811
+0.00909253
+0.0109449
+0.0127577
+0.0146133
+0.0164345
+0.0182931
+0.0185738
+0.0178588
+0.0173922
+0.0171608
+0.0171768
+0.0172637
+0.0152181
+0.0131619
+0.011097
+0.00909118
+0.00719403
+0.00538892
+0.00363434
+0.00204935
+0.00108422
+0.000722089
+-0.00055757
+0.0013088
+0.00307471
+0.00505732
+0.00705702
+0.00897407
+0.010919
+0.0129212
+0.0125679
+0.0105282
+0.00851388
+0.00659793
+0.00476552
+0.00317611
+0.00207949
+0.00183332
+0.00223424
+0.00312604
+0.00415437
+0.00553755
+0.00720655
+0.00905213
+0.0109859
+0.0127767
+0.0146631
+0.0166063
+0.0186047
+0.0196606
+0.0200122
+0.0204808
+0.021112
+0.0219217
+0.022913
+0.0226277
+0.0211999
+0.0199111
+0.0187681
+0.0177933
+0.0170457
+0.0165525
+0.0163247
+0.0163531
+0.0166653
+0.0172285
+0.0180182
+0.0190287
+0.0202267
+0.0215761
+0.0197193
+0.017834
+0.0159309
+0.0140504
+0.0122732
+0.0105802
+0.00894553
+0.00741522
+0.00615879
+0.00494611
+0.00399789
+0.00318125
+0.00268542
+0.00233057
+0.00169666
+-0.000489771
+-0.00258634
+-0.00450528
+-0.00654559
+-0.0086597
+-0.0106659
+-0.0089957
+-0.00705592
+-0.00507839
+-0.00315547
+-0.00132174
+0.000535114
+0.00238201
+0.00429014
+0.00611889
+0.00794554
+0.00981174
+0.0117085
+0.0136401
+0.0155325
+0.016699
+0.0177655
+0.0187831
+0.0184409
+0.0183556
+0.0184141
+0.0178837
+0.0158284
+0.013813
+0.0118548
+0.00992457
+0.00812472
+0.00627625
+0.0044543
+0.00292499
+0.00201219
+0.00134171
+-0.000533563
+0.00057585
+0.00244125
+0.00447784
+0.00649511
+0.00841783
+0.0104028
+0.0124513
+0.0124432
+0.0104151
+0.00844015
+0.0065866
+0.00489133
+0.0035687
+0.00290625
+0.00310995
+0.0037758
+0.00485108
+0.00599541
+0.00714585
+0.00859625
+0.0102562
+0.0120491
+0.0139397
+0.0158125
+0.0176575
+0.0195566
+0.021159
+0.0215454
+0.0220601
+0.0226663
+0.0234223
+0.0243526
+0.0232611
+0.0218747
+0.0206176
+0.0194896
+0.0185528
+0.0178371
+0.017355
+0.0171368
+0.017163
+0.0174626
+0.0180187
+0.0187921
+0.019763
+0.0209191
+0.0209456
+0.0189344
+0.0169677
+0.015051
+0.0131101
+0.0112611
+0.00955779
+0.00800611
+0.00642065
+0.00506003
+0.00395909
+0.00287503
+0.00231623
+0.00145812
+0.00173962
+0.0021743
+0.000105192
+-0.00201694
+-0.00417898
+-0.0063293
+-0.00849971
+-0.0106784
+-0.00993231
+-0.00793664
+-0.00607686
+-0.00426326
+-0.00229279
+-0.000496192
+0.00130316
+0.00319549
+0.00501147
+0.00697306
+0.00890986
+0.0109429
+0.0128855
+0.0142682
+0.0152159
+0.0163793
+0.0177314
+0.0188568
+0.0187734
+0.0189447
+0.0185977
+0.016613
+0.014653
+0.0127683
+0.0108023
+0.00889576
+0.00703354
+0.00518623
+0.00360891
+0.00270811
+0.00196727
+0.000240725
+-3.40568e-05
+0.00199697
+0.0039301
+0.00593525
+0.00796013
+0.010038
+0.0120984
+0.0124033
+0.0104624
+0.00860412
+0.0068555
+0.00535882
+0.00431657
+0.0039268
+0.00431633
+0.0051605
+0.00625325
+0.00754758
+0.00884478
+0.0101883
+0.0116758
+0.0133135
+0.0150848
+0.0169239
+0.0188329
+0.0206729
+0.0222796
+0.0229904
+0.0236423
+0.02427
+0.025025
+0.0255328
+0.024078
+0.0227375
+0.0214978
+0.0204185
+0.0195262
+0.0188439
+0.0183849
+0.0181772
+0.0182018
+0.0184865
+0.0190127
+0.0197689
+0.0207041
+0.0218103
+0.0204445
+0.0183785
+0.0163451
+0.014358
+0.0123689
+0.010389
+0.00851285
+0.00682677
+0.00536649
+0.00392478
+0.00282666
+0.00178607
+0.000966756
+0.000689418
+0.00152643
+0.00168359
+9.88837e-05
+-0.0020222
+-0.00416346
+-0.00632077
+-0.00849517
+-0.0106762
+-0.010878
+-0.00887155
+-0.00697689
+-0.00496818
+-0.00309422
+-0.0014796
+0.00033246
+0.00229844
+0.00418063
+0.00622329
+0.00820029
+0.010206
+0.0120672
+0.012895
+0.0139083
+0.0151604
+0.016586
+0.0181647
+0.0193495
+0.0195157
+0.0194621
+0.0175116
+0.0155225
+0.0134909
+0.0114237
+0.0094101
+0.00748655
+0.0057327
+0.00428731
+0.00339302
+0.00291569
+0.00151414
+0.00114934
+0.00235192
+0.00406148
+0.00597402
+0.0080098
+0.0100057
+0.0120425
+0.012514
+0.0106372
+0.00886894
+0.00730548
+0.0060907
+0.00525788
+0.00499966
+0.00546663
+0.00646907
+0.00760176
+0.00890109
+0.0103605
+0.0118138
+0.0132484
+0.01476
+0.0163862
+0.0181252
+0.0199395
+0.0218081
+0.0235357
+0.0242199
+0.0250652
+0.0259146
+0.0266494
+0.0264368
+0.0250344
+0.0237361
+0.0225513
+0.0215249
+0.0206804
+0.0200375
+0.0196064
+0.01941
+0.0194331
+0.0197013
+0.0201963
+0.0209098
+0.0218168
+0.0222227
+0.0200971
+0.0179849
+0.0158941
+0.0138342
+0.0118213
+0.00987491
+0.00794884
+0.00607296
+0.00446501
+0.00320976
+0.00200082
+0.00103865
+0.000283015
+0.000497957
+0.000949845
+0.00152879
+-2.8065e-06
+-0.00216894
+-0.00434212
+-0.00651789
+-0.00859445
+-0.0103696
+-0.011431
+-0.00952394
+-0.0077388
+-0.00588429
+-0.00401959
+-0.00204301
+-0.000178999
+0.00173252
+0.00350179
+0.00544454
+0.00751227
+0.00954702
+0.0107828
+0.0116909
+0.0127999
+0.0141467
+0.0156614
+0.0173026
+0.0190545
+0.0203081
+0.0200369
+0.0179452
+0.0158798
+0.0138501
+0.0118653
+0.00989105
+0.00802981
+0.00636584
+0.00500119
+0.00404441
+0.00359792
+0.00346221
+0.00325916
+0.00386012
+0.00507692
+0.00670519
+0.00846041
+0.01037
+0.0123411
+0.0129541
+0.0111275
+0.00945669
+0.00801128
+0.00694369
+0.00619775
+0.00610546
+0.00669423
+0.00770669
+0.00895873
+0.0102602
+0.011682
+0.0132459
+0.014814
+0.0163228
+0.0178429
+0.0194669
+0.0211796
+0.0229737
+0.0248114
+0.0255744
+0.02638
+0.0273343
+0.028326
+0.0274757
+0.0261291
+0.0248879
+0.0237606
+0.0227888
+0.0219929
+0.0213894
+0.0209861
+0.020801
+0.0208226
+0.0210731
+0.0215382
+0.0222086
+0.0230647
+0.0220183
+0.0198661
+0.0177227
+0.0155926
+0.0134818
+0.0114012
+0.00937094
+0.00743235
+0.00554822
+0.00378104
+0.00235188
+0.00103525
+0.000287191
+-0.000423028
+0.000128259
+0.000655939
+0.00177065
+0.000166148
+-0.00185868
+-0.00386165
+-0.00560106
+-0.0074387
+-0.00890807
+-0.0105629
+-0.0105541
+-0.00877908
+-0.00689471
+-0.00478616
+-0.00267655
+-0.000641805
+0.00117375
+0.00289764
+0.00484007
+0.00689844
+0.00887055
+0.00980622
+0.0107938
+0.0119866
+0.0133733
+0.0149447
+0.0166565
+0.0184698
+0.0203302
+0.0204572
+0.0184085
+0.0163801
+0.0143994
+0.0124589
+0.0106021
+0.00887177
+0.00734451
+0.00595565
+0.00493581
+0.00451101
+0.00487578
+0.00543303
+0.0057545
+0.00658654
+0.00780549
+0.0092781
+0.0109602
+0.012785
+0.0136749
+0.0119588
+0.0104065
+0.00911083
+0.00810793
+0.00747953
+0.00740511
+0.00789758
+0.00891662
+0.0102644
+0.0116
+0.0130661
+0.0145856
+0.0161735
+0.017828
+0.0193922
+0.0209304
+0.0225524
+0.0242451
+0.0260122
+0.0270332
+0.0278055
+0.0287125
+0.0297534
+0.0286447
+0.0273558
+0.0261727
+0.0251032
+0.0241854
+0.0234369
+0.0228716
+0.0224949
+0.0223207
+0.0223408
+0.0225745
+0.0230108
+0.0236395
+0.0241528
+0.0219908
+0.0198351
+0.017688
+0.0155531
+0.0134361
+0.0113471
+0.00929158
+0.0071442
+0.00503064
+0.00302808
+0.00133445
+0.000275199
+-0.000395892
+-0.000543851
+0.000331414
+0.00101755
+0.00236447
+0.000854236
+-0.00104789
+-0.00282131
+-0.00452342
+-0.00591639
+-0.00757838
+-0.00936813
+-0.0105992
+-0.00951966
+-0.00743598
+-0.00533699
+-0.00317836
+-0.00106207
+0.000779612
+0.00226668
+0.00417334
+0.00620676
+0.00831453
+0.00919491
+0.0102066
+0.0113895
+0.0128304
+0.0144609
+0.0162086
+0.0180344
+0.0199339
+0.0209872
+0.0189815
+0.0170216
+0.015125
+0.0132747
+0.0115145
+0.00988978
+0.00830567
+0.00696713
+0.00606601
+0.00578256
+0.00613175
+0.0070132
+0.00767878
+0.00810662
+0.00899689
+0.0102833
+0.0118071
+0.0135148
+0.0146867
+0.0130849
+0.0116759
+0.0105005
+0.00962254
+0.00909894
+0.00904281
+0.00945032
+0.0103171
+0.0115323
+0.0129473
+0.0143773
+0.0159511
+0.017534
+0.0191362
+0.0208297
+0.0224574
+0.0240206
+0.025641
+0.0273179
+0.0285856
+0.0293207
+0.0301866
+0.0311784
+0.0299287
+0.0286975
+0.0275719
+0.0265589
+0.0256931
+0.0249898
+0.0244604
+0.0241086
+0.0239447
+0.0239634
+0.0241814
+0.0245907
+0.0251799
+0.0243254
+0.0221803
+0.0200449
+0.017923
+0.0158198
+0.0137096
+0.011566
+0.00944103
+0.00733753
+0.00530161
+0.00346021
+0.00204755
+0.000459675
+-0.000492892
+-0.000313575
+0.000631813
+0.00202327
+0.00340472
+0.00178653
+-3.98541e-05
+-0.00167081
+-0.00302841
+-0.00461822
+-0.00647207
+-0.00835028
+-0.00886891
+-0.00774537
+-0.00686678
+-0.00533583
+-0.00336835
+-0.00128178
+0.000409178
+0.0019654
+0.00394364
+0.00603356
+0.00809619
+0.00885885
+0.00994744
+0.0111579
+0.0126254
+0.0142589
+0.0160075
+0.0178539
+0.019715
+0.0215871
+0.0197723
+0.0178992
+0.01607
+0.0143184
+0.0125849
+0.0109446
+0.00950514
+0.00836089
+0.00759992
+0.00736863
+0.00735355
+0.00789902
+0.00884796
+0.00968073
+0.0104376
+0.0115187
+0.0128548
+0.0144018
+0.0159163
+0.0144514
+0.0131682
+0.0121062
+0.0113103
+0.0108684
+0.010855
+0.0111976
+0.0119382
+0.0130097
+0.0143014
+0.0157818
+0.017257
+0.018852
+0.0205187
+0.0221279
+0.0238142
+0.0255306
+0.0271126
+0.0287301
+0.0302172
+0.0309135
+0.031736
+0.0325931
+0.0313134
+0.0301388
+0.0290691
+0.02811
+0.0272935
+0.0266325
+0.0261364
+0.0258074
+0.025653
+0.0256705
+0.0258741
+0.0262583
+0.026811
+0.024692
+0.0225816
+0.0204882
+0.0183714
+0.0162521
+0.0141546
+0.0120901
+0.0100763
+0.00813862
+0.00636434
+0.00437196
+0.00239842
+0.000732676
+-3.58784e-05
+0.000376563
+0.00154716
+0.00298591
+0.00453666
+0.0030036
+0.00122457
+-0.000244153
+-0.00176678
+-0.00355927
+-0.00543174
+-0.00689311
+-0.00704105
+-0.00594031
+-0.00499843
+-0.00406459
+-0.00283652
+-0.000827524
+0.00099837
+0.00243773
+0.00436795
+0.00634938
+0.0080941
+0.00889375
+0.0100246
+0.0112968
+0.0127482
+0.0143678
+0.0161045
+0.0178466
+0.0196526
+0.0215302
+0.0207395
+0.0189195
+0.0171258
+0.015386
+0.0137613
+0.0122778
+0.0108318
+0.00946042
+0.00840815
+0.00783521
+0.00778885
+0.00824606
+0.00921558
+0.0105374
+0.0117861
+0.0127295
+0.0139394
+0.0153541
+0.0173195
+0.0159834
+0.0148153
+0.0138643
+0.0131465
+0.0127682
+0.0127597
+0.0130555
+0.013696
+0.0146394
+0.0158317
+0.0171832
+0.0186938
+0.0202015
+0.0218036
+0.0234866
+0.0251454
+0.0268245
+0.0285651
+0.0302058
+0.0318169
+0.0325759
+0.0333574
+0.0340105
+0.0327862
+0.0316662
+0.0306354
+0.0297269
+0.028956
+0.0283339
+0.0278705
+0.0275734
+0.02743
+0.0274464
+0.0276369
+0.0279981
+0.0270984
+0.0249826
+0.0228809
+0.0207976
+0.0187384
+0.016697
+0.0146935
+0.0127436
+0.0108858
+0.00891982
+0.00683745
+0.00483581
+0.00292635
+0.00138851
+0.000999268
+0.0014633
+0.00257039
+0.00410565
+0.00561856
+0.00415983
+0.00259302
+0.00101557
+-0.000737131
+-0.0024963
+-0.00401413
+-0.00511363
+-0.00511656
+-0.00412223
+-0.00311625
+-0.00240399
+-0.00168599
+8.60836e-05
+0.00182817
+0.00335343
+0.00502512
+0.00689987
+0.00841361
+0.00918263
+0.010285
+0.0116646
+0.0132092
+0.0147399
+0.016356
+0.0180457
+0.0198335
+0.0216954
+0.0217855
+0.0200088
+0.0182671
+0.0163697
+0.0145548
+0.0128576
+0.0113219
+0.0100179
+0.00906246
+0.0085341
+0.00848198
+0.00898084
+0.00989588
+0.0111346
+0.0124518
+0.0133882
+0.0145933
+0.0159895
+0.0188607
+0.0176417
+0.0165796
+0.0157078
+0.0150776
+0.014749
+0.014742
+0.0150034
+0.015564
+0.0164003
+0.0174729
+0.0187348
+0.0201293
+0.021656
+0.0231734
+0.0247779
+0.0264666
+0.0281804
+0.0298528
+0.0315785
+0.0332989
+0.0342976
+0.0350408
+0.0355066
+0.0343356
+0.0332525
+0.0322691
+0.0314079
+0.0306793
+0.0300928
+0.0296569
+0.0293783
+0.0292616
+0.0292785
+0.0294572
+0.0295103
+0.0274056
+0.0253155
+0.0232439
+0.0211963
+0.0191799
+0.0171855
+0.0152396
+0.0133697
+0.0115387
+0.00951282
+0.00751589
+0.00563599
+0.0039744
+0.00289672
+0.00255006
+0.00285971
+0.0038271
+0.00509473
+0.00660171
+0.00544159
+0.00395159
+0.00224591
+0.000540278
+-0.000993806
+-0.0022921
+-0.00338238
+-0.00329707
+-0.0024028
+-0.00132894
+-0.000709264
+-0.000260779
+0.00120675
+0.00266806
+0.00412747
+0.00589368
+0.00778652
+0.0089794
+0.00975372
+0.0108547
+0.012133
+0.0136244
+0.0151794
+0.0167611
+0.018444
+0.0201967
+0.0220279
+0.02268
+0.0207235
+0.0188187
+0.016983
+0.0152414
+0.0136216
+0.0121705
+0.0109678
+0.0101026
+0.00965098
+0.00960492
+0.0100482
+0.0108977
+0.0116754
+0.0123324
+0.0132055
+0.0142966
+0.0155835
+0.0205204
+0.0193869
+0.018415
+0.0176306
+0.0170715
+0.016782
+0.0167759
+0.0170106
+0.0175069
+0.0182545
+0.0192239
+0.0203835
+0.0216914
+0.0231152
+0.0246516
+0.0261702
+0.0277744
+0.0294542
+0.0311975
+0.0328925
+0.0346068
+0.0360702
+0.0367776
+0.0370717
+0.0359462
+0.0349012
+0.0339656
+0.0331485
+0.0324589
+0.0319052
+0.0314944
+0.0312322
+0.0311224
+0.03114
+0.0313081
+0.0299532
+0.027882
+0.0258305
+0.0238037
+0.0217903
+0.0198123
+0.0178839
+0.016023
+0.0142514
+0.012242
+0.0102947
+0.00846705
+0.00683278
+0.00548037
+0.00471065
+0.00436761
+0.00461452
+0.0052945
+0.00635499
+0.00774528
+0.00646099
+0.00500863
+0.00358819
+0.00206229
+0.000705955
+-0.000596546
+-0.00145405
+-0.00145715
+-0.000571957
+0.00032281
+0.000228095
+0.00122835
+0.00261384
+0.00402881
+0.00521312
+0.00684072
+0.00858651
+0.00973033
+0.010514
+0.0115864
+0.0128694
+0.0142314
+0.0156134
+0.017158
+0.0188023
+0.0205244
+0.0223287
+0.0233332
+0.0214364
+0.019601
+0.0178415
+0.016177
+0.0146516
+0.0133133
+0.0122235
+0.0114536
+0.0110355
+0.0109403
+0.0106514
+0.0107262
+0.011236
+0.0117801
+0.0126446
+0.0138057
+0.0151399
+0.0222705
+0.0212047
+0.0203199
+0.0196097
+0.0191086
+0.0188504
+0.0188449
+0.0190582
+0.0195025
+0.0201762
+0.0210573
+0.022121
+0.0233424
+0.0246828
+0.0261272
+0.027666
+0.0291881
+0.030791
+0.0324625
+0.0341928
+0.035941
+0.0376464
+0.0385607
+0.0386977
+0.0376044
+0.0366068
+0.0357158
+0.0349397
+0.0342862
+0.0337624
+0.0333745
+0.0331272
+0.0329625
+0.0315205
+0.0301687
+0.0289196
+0.0277581
+0.0264037
+0.0244063
+0.022445
+0.0205301
+0.018676
+0.0169026
+0.0150927
+0.0132045
+0.0113961
+0.00974589
+0.00833278
+0.00726577
+0.00666463
+0.00639749
+0.00657155
+0.00701979
+0.00790543
+0.00910135
+0.00750823
+0.00614263
+0.00508732
+0.00374555
+0.00235642
+0.00112513
+0.000454986
+0.000583908
+0.00127352
+0.00132405
+0.0016891
+0.00283285
+0.00420149
+0.00538186
+0.00665896
+0.00806224
+0.00971245
+0.0106508
+0.0113407
+0.0123418
+0.0135781
+0.0148763
+0.0163184
+0.0177811
+0.0193611
+0.0210375
+0.0228013
+0.024168
+0.0223401
+0.0205733
+0.0188954
+0.0173325
+0.0159182
+0.0146957
+0.0135444
+0.012366
+0.0113388
+0.01062
+0.0102389
+0.0103167
+0.0107874
+0.0115107
+0.0123914
+0.013509
+0.0148643
+0.0240699
+0.0230872
+0.0222774
+0.0216296
+0.0211763
+0.0209436
+0.0209387
+0.0211345
+0.021536
+0.022148
+0.0229535
+0.0239331
+0.0250663
+0.0263334
+0.0276976
+0.0291573
+0.0306933
+0.0322213
+0.0338223
+0.0354863
+0.037205
+0.038971
+0.0403839
+0.0403644
+0.0393148
+0.0383617
+0.0375124
+0.0367742
+0.0361539
+0.0356575
+0.0349598
+0.0333327
+0.0317732
+0.0302746
+0.0288646
+0.0275568
+0.0263663
+0.0253001
+0.0243416
+0.0232786
+0.0214383
+0.0196699
+0.0179947
+0.0161551
+0.014384
+0.0127441
+0.0112871
+0.0100577
+0.00918646
+0.00869039
+0.00848368
+0.00858169
+0.00891038
+0.00962452
+0.0103297
+0.00884628
+0.00756126
+0.00629324
+0.00519203
+0.00398962
+0.00297658
+0.00251803
+0.00263563
+0.00266242
+0.00300396
+0.00350241
+0.00448471
+0.00584043
+0.00688866
+0.00813393
+0.00955713
+0.0110252
+0.0115166
+0.012172
+0.0131098
+0.0142782
+0.0155672
+0.0168897
+0.0183712
+0.0199721
+0.0216735
+0.0234563
+0.0251092
+0.0233243
+0.0215958
+0.0199375
+0.0183304
+0.0166608
+0.0150636
+0.0136186
+0.0123446
+0.0113081
+0.0105821
+0.0101973
+0.0102754
+0.0107468
+0.0113936
+0.0122469
+0.0133933
+0.0147592
+0.0259295
+0.02502
+0.0242747
+0.0236799
+0.0232666
+0.023055
+0.0230506
+0.0232318
+0.0235977
+0.0241575
+0.0248981
+0.0258039
+0.0268584
+0.0280445
+0.0293466
+0.030729
+0.0322003
+0.0337334
+0.0352658
+0.0368647
+0.0385219
+0.0402302
+0.0419833
+0.0420766
+0.0410708
+0.0401594
+0.0393489
+0.0386458
+0.0374756
+0.0356946
+0.0339615
+0.0322841
+0.0306714
+0.0291344
+0.0276726
+0.0263056
+0.0250558
+0.0239416
+0.0229822
+0.0221405
+0.0211361
+0.0200014
+0.0190512
+0.0174105
+0.015781
+0.0143016
+0.0129892
+0.0119364
+0.0111675
+0.0107615
+0.0105664
+0.0105869
+0.0108843
+0.011475
+0.0117043
+0.0103212
+0.00890864
+0.00766177
+0.00649666
+0.00552998
+0.00482341
+0.00461456
+0.00438858
+0.00440172
+0.00482004
+0.00545862
+0.00630735
+0.00747809
+0.0084912
+0.00969297
+0.0110546
+0.0122081
+0.0125724
+0.0132146
+0.0140595
+0.0150944
+0.0162093
+0.0175282
+0.0190088
+0.0206146
+0.0222878
+0.024031
+0.0254063
+0.0235955
+0.0218545
+0.0201659
+0.0185599
+0.0168927
+0.0153095
+0.0138834
+0.0126368
+0.0116708
+0.0108451
+0.0103504
+0.0102479
+0.010587
+0.0110543
+0.0118935
+0.0130315
+0.0143833
+0.0278374
+0.0269922
+0.0263029
+0.0257533
+0.0253738
+0.0251799
+0.0251759
+0.0253449
+0.0256807
+0.0261961
+0.0268806
+0.0277217
+0.0287058
+0.0298186
+0.0310463
+0.0323727
+0.0337725
+0.0352529
+0.0367832
+0.0383188
+0.0399157
+0.0415667
+0.0432657
+0.0438315
+0.0428669
+0.0419944
+0.040416
+0.038534
+0.0366762
+0.0348554
+0.0330783
+0.0313537
+0.0296906
+0.0280999
+0.0265947
+0.0251832
+0.0238747
+0.0227026
+0.0216884
+0.0208373
+0.0196498
+0.0184735
+0.0174477
+0.0166407
+0.0160936
+0.0158079
+0.0148193
+0.013896
+0.0132135
+0.0128472
+0.0126715
+0.0126534
+0.0129226
+0.0134203
+0.0132316
+0.011759
+0.0104219
+0.00911502
+0.00799292
+0.00703689
+0.00645159
+0.00632188
+0.00626561
+0.00630196
+0.0067425
+0.00748855
+0.00820873
+0.00916418
+0.0101251
+0.0113043
+0.0126211
+0.0133155
+0.0138959
+0.014391
+0.015112
+0.0160009
+0.0170939
+0.0183494
+0.0197686
+0.0213188
+0.0229734
+0.0246844
+0.0257879
+0.0239881
+0.022227
+0.0205468
+0.0189231
+0.0173402
+0.0157166
+0.0141763
+0.012813
+0.0116742
+0.0108326
+0.0102806
+0.00996775
+0.0100635
+0.0105345
+0.0113303
+0.0124648
+0.0138422
+0.0297841
+0.0289958
+0.0283552
+0.0278447
+0.0274941
+0.0273152
+0.0273115
+0.0274702
+0.0277803
+0.0282574
+0.0288931
+0.0296773
+0.0305985
+0.0316448
+0.0328042
+0.0340652
+0.0354105
+0.0368251
+0.0383128
+0.0398404
+0.0413786
+0.0429734
+0.0446189
+0.0456241
+0.0436932
+0.0417307
+0.039792
+0.037879
+0.0359874
+0.0341315
+0.0323175
+0.0305523
+0.028843
+0.0272028
+0.025645
+0.0241855
+0.0228431
+0.0216151
+0.0205474
+0.0196469
+0.0182503
+0.0169773
+0.0159054
+0.0150493
+0.0144422
+0.0141517
+0.0141665
+0.0144503
+0.0137166
+0.0130369
+0.0126554
+0.01262
+0.0129278
+0.0135513
+0.0144536
+0.0133081
+0.0119287
+0.010725
+0.00962296
+0.0088018
+0.00829321
+0.00818723
+0.00825929
+0.00833407
+0.0087804
+0.00941139
+0.0101626
+0.0108656
+0.0118182
+0.0129208
+0.0141333
+0.0143903
+0.0149669
+0.015453
+0.0161558
+0.0170857
+0.0181647
+0.0193846
+0.020733
+0.0222161
+0.0238085
+0.0254784
+0.0262789
+0.0244875
+0.0227632
+0.0210672
+0.0193163
+0.0175366
+0.01586
+0.0142902
+0.0128641
+0.0116006
+0.0106424
+0.00992458
+0.00952977
+0.00955398
+0.00999538
+0.0108242
+0.0119635
+0.0133674
+0.0317627
+0.0310247
+0.0304269
+0.0299503
+0.0296246
+0.0294587
+0.0294552
+0.029605
+0.029893
+0.0303369
+0.0309299
+0.0316636
+0.0325287
+0.0335148
+0.0346116
+0.035809
+0.0370972
+0.0384579
+0.0398847
+0.0413784
+0.0429035
+0.0444437
+0.0460366
+0.0452315
+0.0432278
+0.0412432
+0.0392804
+0.0373412
+0.0354209
+0.0335336
+0.0316855
+0.0298836
+0.028137
+0.0264565
+0.0248527
+0.0233436
+0.0219498
+0.0206945
+0.0195857
+0.0185364
+0.0170045
+0.0156303
+0.0144589
+0.0135429
+0.0128794
+0.0125528
+0.0125846
+0.0129383
+0.0122892
+0.0115257
+0.0111101
+0.0110697
+0.0114135
+0.0121016
+0.0130602
+0.0142807
+0.0135547
+0.0123942
+0.0114085
+0.0106887
+0.0102522
+0.0101533
+0.0103174
+0.0104117
+0.0108214
+0.011406
+0.0120472
+0.0127019
+0.0135687
+0.0146298
+0.0152192
+0.0155052
+0.0160418
+0.016734
+0.0173873
+0.0182552
+0.0193217
+0.0205236
+0.0218414
+0.0232539
+0.0247797
+0.0263994
+0.0269087
+0.025152
+0.0233379
+0.0214323
+0.0195078
+0.0176424
+0.0158604
+0.0141933
+0.0126721
+0.0113536
+0.0103356
+0.00971304
+0.00934697
+0.00937843
+0.00980138
+0.010652
+0.0118175
+0.0132364
+0.0337675
+0.0330743
+0.0325141
+0.0320673
+0.0317633
+0.0316086
+0.0316054
+0.0317475
+0.0320162
+0.032431
+0.0329864
+0.0336754
+0.03449
+0.0354215
+0.036461
+0.0375996
+0.0388285
+0.0401394
+0.0415128
+0.0429499
+0.0444486
+0.0459713
+0.0469242
+0.0448892
+0.0428695
+0.0408674
+0.0388857
+0.0369257
+0.0349826
+0.0330704
+0.0311948
+0.0293628
+0.0275832
+0.0258668
+0.024227
+0.0226791
+0.0212417
+0.0199419
+0.018808
+0.0175793
+0.0159558
+0.0144824
+0.0132096
+0.0122001
+0.011457
+0.0110886
+0.0111282
+0.0115269
+0.0110726
+0.0102186
+0.00974795
+0.00968984
+0.0100394
+0.01077
+0.0118249
+0.0131616
+0.0146636
+0.014168
+0.0133155
+0.0126561
+0.0122896
+0.0121961
+0.0124018
+0.0125231
+0.0128846
+0.0133873
+0.0139491
+0.0142592
+0.013989
+0.0140293
+0.0144066
+0.0150955
+0.016021
+0.0171563
+0.0184825
+0.0196
+0.0205944
+0.0217334
+0.0230161
+0.0243962
+0.0258584
+0.0274143
+0.027467
+0.0254312
+0.0234233
+0.0214512
+0.0195258
+0.0176623
+0.0158825
+0.014218
+0.0126998
+0.0113845
+0.0103696
+0.00973355
+0.00945327
+0.0094651
+0.00996224
+0.0108183
+0.0119904
+0.0134023
+0.0357941
+0.0351408
+0.0346141
+0.0341935
+0.0339086
+0.0337638
+0.0337608
+0.0338961
+0.0341479
+0.0345371
+0.0350591
+0.0357081
+0.0364774
+0.0373594
+0.0383464
+0.0394306
+0.0406041
+0.0418594
+0.0431894
+0.0445736
+0.0460194
+0.0475223
+0.0466971
+0.0446518
+0.0426208
+0.0406065
+0.0386114
+0.0366367
+0.0346775
+0.0327474
+0.0308522
+0.0289986
+0.0271952
+0.0254526
+0.0237843
+0.0222055
+0.0207353
+0.0194016
+0.0182341
+0.0168541
+0.0151532
+0.0135931
+0.012228
+0.0111299
+0.0103073
+0.00989622
+0.00993236
+0.0103771
+0.0100803
+0.00912384
+0.00856263
+0.00845428
+0.0088527
+0.00967673
+0.0108654
+0.0123163
+0.0139199
+0.0152233
+0.0152732
+0.0146868
+0.0143722
+0.0142829
+0.0144052
+0.0146578
+0.0148854
+0.0144477
+0.0135252
+0.012912
+0.01263
+0.0126746
+0.013091
+0.0138455
+0.0148422
+0.0160602
+0.017469
+0.0190263
+0.0206751
+0.0223998
+0.0241597
+0.0256017
+0.0270247
+0.0285277
+0.0276539
+0.0256329
+0.0236422
+0.02169
+0.0197878
+0.0179515
+0.0162036
+0.0145758
+0.0130953
+0.0117956
+0.0107872
+0.0101583
+0.00989204
+0.00998048
+0.0104532
+0.0112702
+0.0124102
+0.0137987
+0.037839
+0.0372216
+0.0367244
+0.0363275
+0.0360594
+0.0359233
+0.0359204
+0.0360496
+0.0362866
+0.0366531
+0.0371454
+0.0377586
+0.0384869
+0.0393238
+0.0402627
+0.0412966
+0.0424185
+0.0436217
+0.0448995
+0.0462442
+0.0476393
+0.0486354
+0.0465721
+0.044521
+0.0424838
+0.0404627
+0.0384601
+0.0364773
+0.034509
+0.0325689
+0.0306626
+0.0287968
+0.02698
+0.0252225
+0.0235379
+0.0219414
+0.0204523
+0.0190987
+0.0179116
+0.0163434
+0.0145817
+0.0129517
+0.0115093
+0.0103334
+0.00946825
+0.00901871
+0.00905089
+0.00953683
+0.00936078
+0.00833315
+0.00770137
+0.00758054
+0.00802253
+0.00895135
+0.010219
+0.011755
+0.0134259
+0.0147728
+0.0157837
+0.0167579
+0.016389
+0.0162221
+0.0163031
+0.0160766
+0.0146651
+0.0134434
+0.0124466
+0.0117774
+0.0114847
+0.0115337
+0.0119897
+0.0128035
+0.0138553
+0.0151528
+0.0166387
+0.0182669
+0.0199769
+0.021761
+0.0235686
+0.0254366
+0.0273482
+0.0292861
+0.0280114
+0.0260182
+0.0240593
+0.022144
+0.0202844
+0.0184975
+0.0168065
+0.0152158
+0.0137678
+0.0125372
+0.0115936
+0.0110046
+0.0107656
+0.010847
+0.0112834
+0.0120904
+0.0131648
+0.0144882
+0.0398993
+0.0393143
+0.038839
+0.0384639
+0.0382109
+0.0380824
+0.0380797
+0.0382028
+0.0384312
+0.0387775
+0.0392431
+0.039824
+0.0405152
+0.0413111
+0.0422058
+0.0431932
+0.044267
+0.0454212
+0.0466498
+0.0479471
+0.0493033
+0.0486142
+0.04655
+0.0444979
+0.0424595
+0.0404372
+0.0384333
+0.036449
+0.0344791
+0.0325372
+0.030629
+0.028761
+0.0269417
+0.0251816
+0.0234941
+0.0218944
+0.0204018
+0.0190447
+0.0178539
+0.0161083
+0.0143177
+0.0126537
+0.0111729
+0.00995741
+0.00905638
+0.00858531
+0.0086191
+0.00912806
+0.00905349
+0.00799286
+0.00731705
+0.00718976
+0.00765435
+0.00865552
+0.00995735
+0.0115312
+0.0132793
+0.0146369
+0.015657
+0.0169004
+0.0183221
+0.0181716
+0.0170587
+0.0154451
+0.0139834
+0.012724
+0.0116683
+0.0109517
+0.0106363
+0.0106892
+0.0111798
+0.0120502
+0.0131623
+0.0145219
+0.0160662
+0.017747
+0.019501
+0.0213262
+0.0231704
+0.025068
+0.0270029
+0.0289639
+0.0285331
+0.026579
+0.0246648
+0.0228003
+0.020999
+0.0192783
+0.0176276
+0.0160986
+0.0147376
+0.0135951
+0.0127301
+0.0121876
+0.0119527
+0.0120393
+0.0124483
+0.0131842
+0.0142145
+0.0154534
+0.0419729
+0.0414172
+0.0409615
+0.0406059
+0.0403664
+0.0402447
+0.0402422
+0.0403588
+0.0405807
+0.0409088
+0.0413504
+0.0419021
+0.0425595
+0.0433179
+0.044172
+0.0451164
+0.0461455
+0.0472538
+0.0484359
+0.0496866
+0.0507633
+0.0486913
+0.0466297
+0.0445801
+0.0425445
+0.0405251
+0.0385244
+0.0365424
+0.0345758
+0.0326378
+0.0307337
+0.0288703
+0.027056
+0.0253013
+0.0236196
+0.0220276
+0.0205461
+0.0192006
+0.0180218
+0.0161568
+0.0143736
+0.0127182
+0.0112387
+0.0100196
+0.00911848
+0.00865079
+0.00866466
+0.00917109
+0.00917266
+0.00812738
+0.00752267
+0.00736608
+0.0078202
+0.00881194
+0.0101307
+0.0116955
+0.0134244
+0.0147677
+0.0157796
+0.0170138
+0.0184267
+0.0184669
+0.0167324
+0.015084
+0.0135883
+0.0122918
+0.011228
+0.0104813
+0.010161
+0.0102442
+0.0107551
+0.0116618
+0.012811
+0.0142042
+0.0157796
+0.017488
+0.0192636
+0.0211045
+0.022975
+0.0248875
+0.0268326
+0.0288052
+0.0292102
+0.0273046
+0.025445
+0.0236421
+0.0219062
+0.0202272
+0.0186541
+0.0172165
+0.0159512
+0.014902
+0.0141119
+0.0136094
+0.0133936
+0.0134685
+0.0138551
+0.0145281
+0.0154691
+0.0166469
+0.0440578
+0.0435287
+0.0430908
+0.0427529
+0.0425254
+0.04241
+0.0424076
+0.0425182
+0.0427344
+0.043046
+0.043466
+0.0439912
+0.0446178
+0.0453418
+0.0461584
+0.0470629
+0.0480504
+0.0491158
+0.0502541
+0.0514606
+0.0509147
+0.0488484
+0.0467934
+0.0447512
+0.0427238
+0.0407132
+0.0387223
+0.0367508
+0.034796
+0.0328709
+0.0309812
+0.0291336
+0.0273368
+0.0256014
+0.0239408
+0.0223716
+0.0209144
+0.0195943
+0.0182974
+0.0164546
+0.0147074
+0.0130944
+0.0116627
+0.0104929
+0.00963618
+0.00919486
+0.0092079
+0.00968597
+0.00972085
+0.00872427
+0.00814247
+0.00809047
+0.00852775
+0.00944548
+0.0106864
+0.01218
+0.0138601
+0.0152101
+0.0161992
+0.0174039
+0.0187874
+0.0184282
+0.0166896
+0.0150365
+0.0135356
+0.0122336
+0.0111642
+0.0104129
+0.0100905
+0.0101744
+0.0106886
+0.0116005
+0.0127739
+0.0141694
+0.015747
+0.0174573
+0.0192289
+0.0210709
+0.0229743
+0.0248993
+0.0268406
+0.0288127
+0.0300223
+0.0281718
+0.0263734
+0.0246386
+0.0229509
+0.0213537
+0.01987
+0.018527
+0.0173575
+0.0163985
+0.0156774
+0.0152096
+0.0150169
+0.0150815
+0.015443
+0.0160543
+0.0169155
+0.0179989
+0.0461525
+0.0456477
+0.0452259
+0.0449042
+0.0446876
+0.0445778
+0.0445755
+0.0446807
+0.0448917
+0.0451885
+0.0455887
+0.0460897
+0.0466882
+0.0473805
+0.0481626
+0.0490301
+0.0499787
+0.0510039
+0.052101
+0.0532253
+0.0511585
+0.0491024
+0.0470585
+0.0450283
+0.043014
+0.0410177
+0.0390422
+0.0370876
+0.0351515
+0.0332471
+0.03138
+0.0295574
+0.027788
+0.0260826
+0.0244547
+0.0229207
+0.0215008
+0.020219
+0.0188176
+0.0170312
+0.0153498
+0.013812
+0.012463
+0.011352
+0.0105329
+0.0101299
+0.0101438
+0.0105799
+0.0106659
+0.00976834
+0.00923319
+0.00918737
+0.00960482
+0.0104282
+0.0116035
+0.0130199
+0.0146037
+0.0159369
+0.0168835
+0.0180477
+0.0193902
+0.0186221
+0.016911
+0.0152933
+0.0138107
+0.0125373
+0.0115243
+0.0107981
+0.0104875
+0.0105683
+0.0110642
+0.0119474
+0.0130899
+0.0144549
+0.0160044
+0.0176899
+0.0194405
+0.0212642
+0.0231517
+0.0250885
+0.0270268
+0.0289861
+0.0309616
+0.0291707
+0.0274351
+0.0257594
+0.0241492
+0.0226367
+0.0212428
+0.0199922
+0.0189135
+0.0180328
+0.0173786
+0.0169426
+0.0167686
+0.0168257
+0.0171629
+0.0177161
+0.0185088
+0.0195039
+0.0482557
+0.0477718
+0.0473661
+0.047059
+0.0468524
+0.0467477
+0.0467455
+0.0468459
+0.0470481
+0.0473353
+0.0477175
+0.0481963
+0.048769
+0.0494322
+0.0501823
+0.0510155
+0.0519279
+0.0529153
+0.0539735
+0.0535482
+0.0514944
+0.0494523
+0.0474234
+0.0454096
+0.0434129
+0.0414358
+0.0394813
+0.0375494
+0.0356385
+0.0337615
+0.0319245
+0.0301349
+0.0284014
+0.0267352
+0.0251496
+0.0236607
+0.022288
+0.0210542
+0.0195364
+0.0178221
+0.0162229
+0.0147763
+0.0135311
+0.012488
+0.0117484
+0.0113884
+0.0114014
+0.0117911
+0.0118707
+0.0110784
+0.0105974
+0.0105575
+0.0109642
+0.0117273
+0.0127886
+0.0141074
+0.0156202
+0.0168831
+0.0177794
+0.0188885
+0.0201679
+0.0190445
+0.0173751
+0.0158169
+0.0143883
+0.0131708
+0.012227
+0.0115659
+0.0112764
+0.0113769
+0.0118389
+0.0126617
+0.0137362
+0.0150449
+0.0165412
+0.0181789
+0.0198926
+0.0216783
+0.0235326
+0.0254404
+0.0273875
+0.0293227
+0.0312917
+0.0302879
+0.0286133
+0.0270108
+0.0254798
+0.0240512
+0.0227441
+0.0215807
+0.0205854
+0.019774
+0.0191772
+0.0187714
+0.0186128
+0.0186642
+0.0189702
+0.0194828
+0.0202098
+0.0211291
+0.0503664
+0.049899
+0.0495108
+0.049217
+0.0490195
+0.0489194
+0.0489173
+0.0490133
+0.0492066
+0.0494859
+0.0498517
+0.0503102
+0.0508591
+0.0514953
+0.0522158
+0.0530171
+0.0538956
+0.0548476
+0.0558692
+0.0539582
+0.0519206
+0.0498959
+0.0478859
+0.0458923
+0.0439176
+0.0419643
+0.0400356
+0.0381317
+0.0362515
+0.0344079
+0.0326074
+0.0308574
+0.0291669
+0.0275471
+0.026011
+0.0245743
+0.0232556
+0.0220757
+0.0204529
+0.0188223
+0.0173157
+0.0159684
+0.0148237
+0.0138792
+0.0132176
+0.0128988
+0.0129107
+0.0132561
+0.0133146
+0.0126134
+0.0122041
+0.0121694
+0.012524
+0.0132276
+0.0141796
+0.0153868
+0.0167941
+0.0180019
+0.018846
+0.0198966
+0.0211229
+0.0197029
+0.0180943
+0.0166143
+0.0152613
+0.0141193
+0.0132291
+0.0126206
+0.0123559
+0.0124517
+0.0128752
+0.0136324
+0.0146608
+0.0159101
+0.0173319
+0.0189012
+0.0205691
+0.0223009
+0.0241073
+0.0259729
+0.0278859
+0.0298123
+0.0317552
+0.0315118
+0.0299058
+0.0283764
+0.0269232
+0.0255753
+0.0243502
+0.0232672
+0.0223429
+0.0215973
+0.0210405
+0.0206707
+0.0205252
+0.0205718
+0.0208498
+0.0213283
+0.0219943
+0.022849
+0.0524836
+0.0520315
+0.0516592
+0.0513778
+0.0511886
+0.0510928
+0.0510908
+0.0511827
+0.0513678
+0.0516399
+0.0519905
+0.0524304
+0.0529573
+0.0535686
+0.0542616
+0.0550331
+0.0558799
+0.0567986
+0.0564846
+0.0544533
+0.0524349
+0.0504309
+0.0484431
+0.0464735
+0.0445245
+0.0425991
+0.0407004
+0.0388291
+0.0369842
+0.0351792
+0.0334202
+0.031715
+0.0300729
+0.0285045
+0.0270229
+0.0256422
+0.0243801
+0.0231953
+0.0215495
+0.0200085
+0.0185983
+0.0173508
+0.0162815
+0.0154136
+0.0148213
+0.0145382
+0.0145537
+0.0148608
+0.0149385
+0.0143085
+0.0139389
+0.0139085
+0.0142198
+0.0148511
+0.0157261
+0.0168226
+0.0181188
+0.0192917
+0.0200817
+0.0210707
+0.0222196
+0.0205745
+0.0190397
+0.0176401
+0.016372
+0.0153123
+0.0144953
+0.0139422
+0.0137031
+0.0137895
+0.0141732
+0.0148643
+0.0158128
+0.0169923
+0.0183435
+0.0198149
+0.0214097
+0.0230869
+0.0248351
+0.0266488
+0.0285154
+0.0304253
+0.0323357
+0.0328364
+0.0312984
+0.0298405
+0.0284621
+0.0271906
+0.0260416
+0.0250319
+0.024171
+0.0234834
+0.0229612
+0.0226228
+0.0224884
+0.022531
+0.0227851
+0.0232338
+0.0238467
+0.0246397
+0.0546066
+0.0541686
+0.0538111
+0.053541
+0.0533595
+0.0532676
+0.0532657
+0.0533538
+0.0535315
+0.0537969
+0.0541336
+0.0545561
+0.0550627
+0.0556509
+0.0563183
+0.057062
+0.0578791
+0.0587666
+0.0570419
+0.0550313
+0.0530349
+0.0510544
+0.0490918
+0.0471493
+0.0452295
+0.0433354
+0.0414705
+0.0396353
+0.0378299
+0.0360671
+0.0343537
+0.0326972
+0.0311067
+0.0295922
+0.0281668
+0.0268448
+0.025642
+0.0243629
+0.0228015
+0.0213511
+0.0200356
+0.018879
+0.0178693
+0.0170823
+0.0165498
+0.0162968
+0.0163116
+0.0165861
+0.0166925
+0.0161133
+0.015786
+0.0157592
+0.0160346
+0.016597
+0.0174114
+0.0184078
+0.0195994
+0.0207333
+0.0214703
+0.0223981
+0.0232038
+0.0216337
+0.0201795
+0.0188648
+0.0176847
+0.0167085
+0.0159623
+0.0154462
+0.0152307
+0.015318
+0.0156642
+0.0162989
+0.0171683
+0.0182605
+0.0195241
+0.0209126
+0.0224295
+0.0240354
+0.0257192
+0.0274746
+0.0292887
+0.0311512
+0.0330479
+0.0342499
+0.0327784
+0.0313893
+0.030082
+0.0288819
+0.0278028
+0.0268556
+0.026055
+0.0254185
+0.0249264
+0.024615
+0.0244902
+0.0245294
+0.024763
+0.0251848
+0.0257522
+0.0264883
+0.0567348
+0.0563098
+0.0559661
+0.0557064
+0.055532
+0.0554436
+0.0554418
+0.0555264
+0.0556972
+0.0559533
+0.0562802
+0.0566868
+0.0571745
+0.0577412
+0.0583847
+0.0591024
+0.0598917
+0.0596791
+0.0576771
+0.0556894
+0.0537175
+0.0517631
+0.0498285
+0.0479158
+0.046028
+0.0441681
+0.0423399
+0.0405441
+0.038781
+0.0370635
+0.0353976
+0.0337915
+0.0322544
+0.0307964
+0.0294294
+0.0281666
+0.0270227
+0.0256647
+0.0241875
+0.0228253
+0.0215998
+0.0204998
+0.0195739
+0.0188582
+0.0183772
+0.0181497
+0.0181637
+0.0184107
+0.018524
+0.018004
+0.0177116
+0.0176877
+0.0179335
+0.0184381
+0.0191811
+0.020107
+0.0212034
+0.0222973
+0.0229842
+0.0238532
+0.0243458
+0.0228543
+0.021483
+0.0202524
+0.0191575
+0.0182608
+0.017564
+0.0170963
+0.0169018
+0.0169862
+0.0172992
+0.0178771
+0.018683
+0.0196855
+0.0208514
+0.0221729
+0.023609
+0.0251396
+0.026754
+0.0284455
+0.0302013
+0.0320108
+0.0338653
+0.035742
+0.0343345
+0.0330109
+0.0317704
+0.0306365
+0.0296211
+0.0287306
+0.0279837
+0.0273872
+0.0269264
+0.0266384
+0.026522
+0.0265581
+0.026774
+0.0271655
+0.0277
+0.0283856
+0.0588655
+0.0584547
+0.0581236
+0.0578736
+0.0577058
+0.0576208
+0.057619
+0.0577005
+0.0578648
+0.0581113
+0.0584302
+0.0588219
+0.059292
+0.0598387
+0.0604599
+0.0611532
+0.0619164
+0.0603661
+0.0583877
+0.056425
+0.0544797
+0.0525537
+0.0506492
+0.0487688
+0.0469153
+0.0450921
+0.0433029
+0.0415483
+0.039829
+0.0381579
+0.0365418
+0.0349883
+0.0335061
+0.032105
+0.0307962
+0.0295918
+0.0285028
+0.0270814
+0.0256858
+0.0244073
+0.0232458
+0.0222186
+0.0213673
+0.0207136
+0.0202767
+0.0200707
+0.0200842
+0.0203078
+0.0204154
+0.0199561
+0.0196927
+0.0196712
+0.0198925
+0.0203486
+0.0210241
+0.0218938
+0.0229047
+0.0239597
+0.0246002
+0.025414
+0.0256246
+0.024212
+0.022922
+0.0217456
+0.0207297
+0.0199039
+0.0192819
+0.0188568
+0.0186807
+0.0187601
+0.0190462
+0.0195725
+0.0203213
+0.0212291
+0.0223145
+0.0235542
+0.0249251
+0.0263797
+0.0279225
+0.0295473
+0.0312412
+0.0329937
+0.0347959
+0.0366404
+0.0359567
+0.034695
+0.0335169
+0.0324441
+0.0314831
+0.0306467
+0.0299476
+0.029383
+0.0289541
+0.0286865
+0.0285772
+0.0286107
+0.0288112
+0.0291754
+0.0296816
+0.0303224
+0.0609992
+0.0606029
+0.0602836
+0.0600426
+0.0598808
+0.0597989
+0.0597972
+0.0598757
+0.0600341
+0.0602717
+0.0605831
+0.060961
+0.0614147
+0.0619426
+0.0625429
+0.0632134
+0.0630926
+0.0611239
+0.0591709
+0.057235
+0.0553182
+0.0534225
+0.0515501
+0.0497038
+0.0478865
+0.0461017
+0.0443532
+0.0426401
+0.0409666
+0.0393439
+0.0377786
+0.0362781
+0.0348507
+0.033506
+0.032254
+0.0311061
+0.030016
+0.0285958
+0.0272779
+0.0260709
+0.0249678
+0.0240143
+0.0232289
+0.022629
+0.0222298
+0.0220421
+0.0220551
+0.0222589
+0.0223615
+0.0219512
+0.0217141
+0.0216946
+0.0218955
+0.0223106
+0.0229285
+0.0237332
+0.0246834
+0.0257014
+0.0262995
+0.0270623
+0.0270105
+0.0256803
+0.0244511
+0.0233476
+0.0224044
+0.0216427
+0.0210817
+0.0206994
+0.0205391
+0.0205983
+0.0208571
+0.0213388
+0.0220288
+0.0228786
+0.0238892
+0.025051
+0.0263442
+0.0277377
+0.0292089
+0.0307658
+0.0323961
+0.0340892
+0.0358364
+0.0376299
+0.0376366
+0.0364331
+0.0353087
+0.0342862
+0.0333764
+0.0325887
+0.0319321
+0.0314049
+0.0310039
+0.0307541
+0.0306512
+0.0306824
+0.0308695
+0.0312096
+0.0316908
+0.0322918
+0.0631369
+0.062754
+0.0624457
+0.0622131
+0.062057
+0.061978
+0.0619763
+0.062052
+0.0622049
+0.0624343
+0.0627386
+0.0631036
+0.063542
+0.0640524
+0.0646331
+0.0652821
+0.0638932
+0.06195
+0.0600238
+0.0581164
+0.0562296
+0.0543657
+0.052527
+0.0507162
+0.0489365
+0.0471914
+0.0454788
+0.0438042
+0.0421769
+0.0406026
+0.0390878
+0.0376395
+0.0362658
+0.0349754
+0.033778
+0.0326759
+0.0315417
+0.0301934
+0.0289482
+0.0277905
+0.0267583
+0.0258709
+0.0251436
+0.0245905
+0.0242236
+0.0240515
+0.024064
+0.0242509
+0.0243492
+0.0239729
+0.0237655
+0.0237478
+0.0239314
+0.0243118
+0.02488
+0.0256235
+0.0265183
+0.0275074
+0.028067
+0.028783
+0.0284912
+0.0272334
+0.0260709
+0.0250389
+0.0241618
+0.0234572
+0.0229391
+0.0225834
+0.0224366
+0.0224893
+0.0227265
+0.0231694
+0.0238064
+0.0246127
+0.0255548
+0.0266441
+0.0278634
+0.0291963
+0.0305982
+0.0320877
+0.033654
+0.0352869
+0.0369775
+0.0386993
+0.0393667
+0.0382074
+0.0371356
+0.0361648
+0.0353035
+0.0345597
+0.0339413
+0.0334453
+0.0330691
+0.032835
+0.0327403
+0.0327696
+0.0329449
+0.0332638
+0.0337217
+0.034288
+0.065278
+0.0649078
+0.0646098
+0.064385
+0.0642341
+0.0641578
+0.0641562
+0.0642293
+0.064377
+0.0645987
+0.0648936
+0.0652493
+0.0656734
+0.0661674
+0.0667297
+0.0666914
+0.064758
+0.0628416
+0.0609436
+0.0590659
+0.0572105
+0.0553795
+0.0535756
+0.0518015
+0.0500595
+0.0483452
+0.0466706
+0.0450403
+0.0434593
+0.0419332
+0.0404682
+0.0390711
+0.0377495
+0.0365116
+0.0353611
+0.0343091
+0.0331421
+0.0318616
+0.0306636
+0.0295695
+0.0286017
+0.0277732
+0.027097
+0.0265846
+0.0262456
+0.0260868
+0.0261013
+0.0262737
+0.0263691
+0.026022
+0.0258398
+0.0258235
+0.0259924
+0.0263431
+0.0268684
+0.0275583
+0.0283966
+0.0293472
+0.0298906
+0.0305639
+0.0300586
+0.028868
+0.0277692
+0.0268026
+0.0259851
+0.0253313
+0.0248438
+0.0245154
+0.0243802
+0.0244303
+0.0246489
+0.0250578
+0.025648
+0.0264072
+0.0272924
+0.028315
+0.0294652
+0.0307214
+0.0320561
+0.0334812
+0.0349854
+0.0365591
+0.0381936
+0.0398557
+0.0408914
+0.0400219
+0.039
+0.0380768
+0.0372597
+0.0365557
+0.0359716
+0.0354979
+0.0351436
+0.0349235
+0.0348399
+0.0348695
+0.0350342
+0.0353343
+0.0357662
+0.0363066
+0.0674223
+0.0670639
+0.0667755
+0.066558
+0.0664121
+0.0663383
+0.0663368
+0.0664075
+0.0665504
+0.0667648
+0.0670502
+0.067398
+0.0678087
+0.0682872
+0.0688322
+0.0675914
+0.0656846
+0.063796
+0.0619273
+0.0600803
+0.0582572
+0.0564602
+0.0546919
+0.0529499
+0.0512385
+0.0495648
+0.0479329
+0.046347
+0.0448121
+0.0433337
+0.0419176
+0.0405705
+0.0392994
+0.0381091
+0.0370056
+0.0360017
+0.0348053
+0.0335758
+0.032432
+0.0313996
+0.0304899
+0.0297142
+0.0290831
+0.0286063
+0.0282915
+0.0281443
+0.0281577
+0.0283176
+0.0284143
+0.0280925
+0.0279261
+0.027911
+0.0280673
+0.0283924
+0.0288804
+0.0295233
+0.0303113
+0.031209
+0.0317607
+0.0323951
+0.0317001
+0.0305697
+0.0295324
+0.0286254
+0.0278615
+0.0272527
+0.026792
+0.0264878
+0.0263627
+0.0264105
+0.0266128
+0.026992
+0.0275407
+0.0282483
+0.0290775
+0.0300393
+0.0311259
+0.0323148
+0.0335863
+0.034949
+0.0363926
+0.0379079
+0.0394866
+0.0410261
+0.0420133
+0.0418724
+0.0408968
+0.0400173
+0.0392406
+0.0385729
+0.0380198
+0.037566
+0.0372315
+0.0370237
+0.0369449
+0.0369799
+0.0371353
+0.0374185
+0.0378267
+0.0383441
+0.0695695
+0.0692223
+0.0689429
+0.0687323
+0.068591
+0.0685195
+0.068518
+0.0685865
+0.0687248
+0.0689325
+0.069209
+0.0695493
+0.0699474
+0.0704114
+0.0704471
+0.0685497
+0.0666703
+0.0648104
+0.0629718
+0.0611564
+0.0593663
+0.0576031
+0.0558625
+0.0541545
+0.0524824
+0.0508497
+0.0492603
+0.0477186
+0.0462292
+0.0447976
+0.0434293
+0.0421305
+0.0409071
+0.0397606
+0.0387042
+0.0377456
+0.0365166
+0.0353343
+0.0342493
+0.0332733
+0.0324162
+0.0316877
+0.0310967
+0.0306512
+0.0303577
+0.0302205
+0.030233
+0.030382
+0.0304797
+0.03018
+0.0300229
+0.0300088
+0.0301543
+0.0304571
+0.0309125
+0.031514
+0.0322534
+0.0331111
+0.0336694
+0.0342685
+0.0334046
+0.0323286
+0.0313495
+0.0304966
+0.0297807
+0.029212
+0.0287751
+0.028492
+0.0283757
+0.0284216
+0.0286097
+0.0289627
+0.0294748
+0.0301332
+0.0309131
+0.0318209
+0.0328485
+0.0339748
+0.0351863
+0.0364893
+0.0378743
+0.0393325
+0.0408563
+0.0422582
+0.0432173
+0.0437544
+0.0428216
+0.0419825
+0.0412428
+0.040608
+0.0400815
+0.0396473
+0.0393305
+0.0391339
+0.0390594
+0.0390992
+0.0392462
+0.0395143
+0.039901
+0.0403977
+0.0717193
+0.0713825
+0.0711117
+0.0709075
+0.0707705
+0.0707012
+0.0706998
+0.0707662
+0.0709003
+0.0711016
+0.0713696
+0.071703
+0.0720891
+0.0725394
+0.0714343
+0.0695638
+0.0677125
+0.0658821
+0.0640742
+0.062291
+0.0605297
+0.058794
+0.0570897
+0.0554195
+0.0537867
+0.0521948
+0.0506477
+0.0491495
+0.0477049
+0.0463189
+0.0449969
+0.0437446
+0.0425628
+0.0414621
+0.0404502
+0.0394713
+0.0382673
+0.0371387
+0.036108
+0.0351836
+0.0343742
+0.033688
+0.0331327
+0.032715
+0.0324401
+0.0323118
+0.0323235
+0.0324629
+0.0325615
+0.0322811
+0.0321321
+0.032119
+0.032255
+0.0325382
+0.032965
+0.0335296
+0.0342255
+0.0350446
+0.0356106
+0.0361776
+0.0351631
+0.0341375
+0.0332118
+0.0324079
+0.0317352
+0.0312015
+0.0307863
+0.0305219
+0.0304134
+0.0304575
+0.0306331
+0.030963
+0.0314426
+0.0320569
+0.0327911
+0.0336507
+0.0346241
+0.035692
+0.0368472
+0.0380934
+0.039422
+0.0408251
+0.0422951
+0.0435656
+0.0444966
+0.0455049
+0.0447709
+0.043969
+0.0432633
+0.0426586
+0.0421525
+0.0417398
+0.041439
+0.0412525
+0.0411818
+0.0412222
+0.0413617
+0.0416161
+0.0419835
+0.0424607
+0.0738716
+0.0735446
+0.0732818
+0.0730836
+0.0729508
+0.0728836
+0.0728822
+0.0729466
+0.0730766
+0.073272
+0.0735321
+0.0738564
+0.0742338
+0.074336
+0.0724742
+0.0706313
+0.0688087
+0.0670082
+0.0652308
+0.0634725
+0.0617418
+0.0600412
+0.0583733
+0.056741
+0.0551473
+0.0535958
+0.0520903
+0.0506348
+0.0492338
+0.0478921
+0.0466147
+0.0454035
+0.044265
+0.0432077
+0.0422376
+0.0412218
+0.0400594
+0.0389828
+0.0380021
+0.037125
+0.0363588
+0.0357107
+0.0351874
+0.0347943
+0.034536
+0.0344155
+0.0344265
+0.0345574
+0.0346568
+0.0343934
+0.0342517
+0.0342394
+0.034367
+0.0346329
+0.0350341
+0.035566
+0.0362227
+0.0369977
+0.0375792
+0.0380302
+0.0369667
+0.0359829
+0.035108
+0.0343507
+0.0337182
+0.0332113
+0.0328205
+0.0325726
+0.032471
+0.0325135
+0.032678
+0.0329876
+0.033438
+0.0340031
+0.0346911
+0.0355012
+0.0364252
+0.0374546
+0.038561
+0.0397535
+0.0410284
+0.0423783
+0.0437962
+0.0449337
+0.0458369
+0.0468251
+0.0467415
+0.045974
+0.0452996
+0.0447224
+0.044235
+0.043842
+0.0435556
+0.0433782
+0.043311
+0.0433501
+0.0434827
+0.0437248
+0.0440746
+0.0445296
+0.076026
+0.0757084
+0.075453
+0.0752606
+0.0751316
+0.0750664
+0.075065
+0.0751275
+0.0752538
+0.0754436
+0.0756962
+0.0760112
+0.076381
+0.0753996
+0.0735647
+0.0717498
+0.0699564
+0.0681819
+0.0664294
+0.0647037
+0.0630069
+0.0613414
+0.0597098
+0.0581149
+0.05656
+0.0550484
+0.0535837
+0.0521699
+0.0508112
+0.0495122
+0.0482759
+0.047105
+0.0460086
+0.0449923
+0.0440615
+0.0430049
+0.0418895
+0.0408611
+0.0399266
+0.0390926
+0.0383658
+0.0377522
+0.0372575
+0.0368865
+0.036643
+0.0365294
+0.0365397
+0.0366631
+0.0367631
+0.036515
+0.0363796
+0.036368
+0.0364882
+0.0367388
+0.0371173
+0.0376197
+0.0382412
+0.0389761
+0.0395712
+0.0398237
+0.0387995
+0.037863
+0.0370325
+0.0363154
+0.0357184
+0.0352417
+0.0348737
+0.0346405
+0.0345449
+0.034586
+0.0347408
+0.0350321
+0.0354405
+0.0359679
+0.036619
+0.0373874
+0.0382658
+0.039247
+0.040321
+0.041463
+0.0426869
+0.0439859
+0.045338
+0.0463588
+0.0472347
+0.0481944
+0.048731
+0.0479953
+0.0473497
+0.0467978
+0.0463275
+0.0459523
+0.0456793
+0.0455101
+0.045446
+0.045484
+0.0456104
+0.0458412
+0.046175
+0.0466095
+0.0781824
+0.0778736
+0.0776254
+0.0774384
+0.077313
+0.0772496
+0.0772483
+0.077309
+0.0774318
+0.0776162
+0.0778618
+0.0781681
+0.0783383
+0.0765111
+0.0747036
+0.0729162
+0.0711455
+0.0693987
+0.0676778
+0.0659847
+0.0643216
+0.0626911
+0.0610955
+0.0595378
+0.0580211
+0.0565485
+0.0551237
+0.0537504
+0.0524327
+0.0511746
+0.0499756
+0.0488454
+0.047789
+0.0468113
+0.0459175
+0.0448218
+0.0437527
+0.0427692
+0.0418772
+0.0410829
+0.0403919
+0.0398095
+0.0393407
+0.0389896
+0.0387592
+0.0386519
+0.0386616
+0.0387783
+0.0388788
+0.0386443
+0.0385146
+0.0385037
+0.0386172
+0.0388541
+0.0392121
+0.039688
+0.0402776
+0.040976
+0.0415832
+0.0416491
+0.0406674
+0.0397748
+0.0389851
+0.0383046
+0.0377391
+0.0372903
+0.0369426
+0.0367226
+0.0366324
+0.0366522
+0.0367984
+0.0370737
+0.037458
+0.0379575
+0.038575
+0.0393051
+0.0401416
+0.0410781
+0.0421078
+0.0432158
+0.0443914
+0.045642
+0.0469286
+0.0478418
+0.048691
+0.0496225
+0.0506317
+0.0500309
+0.0494118
+0.0488827
+0.0484287
+0.0480699
+0.0478089
+0.0476473
+0.0475861
+0.0476229
+0.0477437
+0.0479643
+0.0482834
+0.048699
+0.0803408
+0.0800402
+0.0797988
+0.0796169
+0.0794949
+0.0794332
+0.079432
+0.0794911
+0.0796104
+0.0797898
+0.0800288
+0.0803268
+0.0794691
+0.0776686
+0.0758846
+0.07412
+0.0723787
+0.0706625
+0.0689731
+0.0673126
+0.0656832
+0.0640872
+0.0625274
+0.0610062
+0.0595269
+0.0580925
+0.0567065
+0.0553725
+0.0540943
+0.0528718
+0.0517122
+0.0506208
+0.0496022
+0.048661
+0.047775
+0.0466708
+0.045645
+0.0447031
+0.0438506
+0.0430926
+0.0424343
+0.0418804
+0.041435
+0.0411018
+0.0408833
+0.0407816
+0.0407908
+0.0409014
+0.0410024
+0.04078
+0.0406555
+0.0406452
+0.0407527
+0.0409773
+0.0413169
+0.0417688
+0.0423294
+0.0429945
+0.0436097
+0.0435081
+0.042566
+0.0417141
+0.0409618
+0.0403146
+0.0397777
+0.0393541
+0.0390249
+0.0388166
+0.0387104
+0.0387252
+0.0388636
+0.0391244
+0.0394941
+0.0399681
+0.040555
+0.0412501
+0.0420479
+0.0429428
+0.0439288
+0.045
+0.046135
+0.04732
+0.0485659
+0.0493774
+0.0502007
+0.0511047
+0.0520852
+0.052079
+0.0514846
+0.0509731
+0.0505375
+0.0501938
+0.0499439
+0.0497892
+0.0497306
+0.0497664
+0.049882
+0.0500932
+0.0503988
+0.0507972
+0.0825007
+0.0822081
+0.081973
+0.081796
+0.0816773
+0.0816173
+0.081616
+0.0816735
+0.0817897
+0.0819643
+0.0821969
+0.0824374
+0.0806428
+0.078863
+0.0771043
+0.0753683
+0.0736565
+0.0719707
+0.0703128
+0.0686847
+0.0670886
+0.0655269
+0.0640021
+0.0625169
+0.0610742
+0.059677
+0.0583286
+0.0570326
+0.0557898
+0.0546043
+0.0534822
+0.0524277
+0.0514449
+0.050538
+0.0496107
+0.0485482
+0.0475629
+0.0466598
+0.0458436
+0.0451192
+0.0444909
+0.0439629
+0.0435388
+0.0432218
+0.0430141
+0.0429174
+0.0429262
+0.0430313
+0.0431326
+0.0429213
+0.0428015
+0.0427916
+0.0428938
+0.0431072
+0.0434302
+0.0438603
+0.0443946
+0.0450291
+0.0456469
+0.0453968
+0.0444915
+0.0436772
+0.0429593
+0.0423426
+0.0418318
+0.0414257
+0.041113
+0.0408999
+0.0407964
+0.0408104
+0.0409418
+0.0411895
+0.0415458
+0.0419966
+0.0425555
+0.0432184
+0.0439804
+0.0448366
+0.0457816
+0.0468102
+0.0478937
+0.0490362
+0.0502454
+0.050961
+0.0517591
+0.0526363
+0.0535888
+0.0541383
+0.0535668
+0.0530712
+0.0526529
+0.0523231
+0.0520834
+0.0519351
+0.051879
+0.0519139
+0.0520247
+0.0522272
+0.0525204
+0.0529028
+0.0892585
+0.0878903
+0.0865513
+0.0852466
+0.0838916
+0.0825646
+0.0812372
+0.0799479
+0.0786985
+0.0774018
+0.0761391
+0.0749193
+0.0737443
+0.0726125
+0.0714886
+0.0703813
+0.0693001
+0.0682165
+0.0671869
+0.0661023
+0.0650302
+0.0640151
+0.0630547
+0.0620941
+0.0611507
+0.0602643
+0.0594455
+0.0586971
+0.0579693
+0.0572258
+0.0564414
+0.0557321
+0.0550478
+0.0544285
+0.0538608
+0.0533453
+0.0529084
+0.0525386
+0.0522095
+0.0519689
+0.05182
+0.0516334
+0.0514175
+0.0512815
+0.0512311
+0.0512044
+0.0512309
+0.0513074
+0.051467
+0.0517046
+0.0520335
+0.0524278
+0.0528987
+0.0534553
+0.0540949
+0.0548113
+0.0555686
+0.0563898
+0.0572513
+0.0571149
+0.0559504
+0.0548486
+0.0538136
+0.0528491
+0.0519592
+0.0511476
+0.0504183
+0.0497747
+0.0492204
+0.0487582
+0.0483909
+0.0481206
+0.047949
+0.0478771
+0.0479053
+0.0480156
+0.0482239
+0.0485303
+0.048933
+0.0494296
+0.0500172
+0.0506839
+0.0514261
+0.0522341
+0.0530656
+0.0539642
+0.0549275
+0.05596
+0.0570579
+0.0582176
+0.0594355
+0.0606468
+0.0619119
+0.0632252
+0.0645685
+0.0659138
+0.0672963
+0.0687201
+0.0701709
+0.0716594
+0.0876172
+0.0862442
+0.0848796
+0.0835499
+0.0822447
+0.0808987
+0.0795704
+0.0782536
+0.0769767
+0.0757338
+0.0744428
+0.0731947
+0.0719915
+0.0708345
+0.0697241
+0.0685991
+0.0675064
+0.0664322
+0.0653745
+0.0643597
+0.0632698
+0.0622261
+0.0612418
+0.060305
+0.0593416
+0.0584283
+0.0575834
+0.0568104
+0.0561022
+0.0553661
+0.0545959
+0.0538623
+0.0531714
+0.05253
+0.0519712
+0.0514417
+0.0509885
+0.0506112
+0.0502677
+0.0500178
+0.049863
+0.049729
+0.0495081
+0.0493748
+0.049325
+0.0493215
+0.0493907
+0.0494768
+0.049646
+0.0498942
+0.0502348
+0.0506473
+0.0511346
+0.0517102
+0.0523711
+0.0531143
+0.0538925
+0.0547333
+0.0556205
+0.0554762
+0.0542766
+0.0531402
+0.0520712
+0.0510738
+0.0501524
+0.0493111
+0.0485542
+0.0478856
+0.0473091
+0.0468281
+0.0464455
+0.0461638
+0.0459849
+0.0459099
+0.0459393
+0.0460544
+0.0462715
+0.0465908
+0.04701
+0.0475267
+0.0481376
+0.0488219
+0.0495919
+0.0503885
+0.0512499
+0.0521792
+0.0531748
+0.0542407
+0.0553727
+0.056567
+0.0577584
+0.0590041
+0.0603028
+0.0616218
+0.0629547
+0.0643262
+0.0657412
+0.067185
+0.0686682
+0.070089
+0.0860003
+0.0846011
+0.0832319
+0.0818755
+0.0805557
+0.0792502
+0.0779141
+0.0765845
+0.0752793
+0.0740159
+0.0727729
+0.0714956
+0.0702634
+0.0690787
+0.0679412
+0.0668413
+0.0657287
+0.0646484
+0.0635859
+0.0625568
+0.0615362
+0.0604634
+0.0594511
+0.0584983
+0.057551
+0.0566175
+0.0557451
+0.0549463
+0.0542243
+0.053498
+0.0527739
+0.0520146
+0.0513198
+0.050655
+0.0500773
+0.0495578
+0.0490872
+0.0487042
+0.0483471
+0.0480873
+0.0479263
+0.047841
+0.047623
+0.0474899
+0.0474408
+0.0474651
+0.0475373
+0.0476766
+0.0478522
+0.0481153
+0.0484685
+0.0489001
+0.0494046
+0.0500001
+0.0506834
+0.0514508
+0.0522545
+0.0531155
+0.0540292
+0.0538769
+0.0526408
+0.0514682
+0.0503638
+0.0493319
+0.0483773
+0.0475046
+0.0467184
+0.0460232
+0.045423
+0.0449218
+0.0445228
+0.0442289
+0.0440421
+0.0439638
+0.0439946
+0.0441147
+0.0443413
+0.0446744
+0.0451115
+0.0456496
+0.0462786
+0.0469882
+0.0477624
+0.0485716
+0.0494646
+0.0504261
+0.0514557
+0.0525564
+0.053724
+0.0548928
+0.0561166
+0.057398
+0.0586907
+0.0600096
+0.0613687
+0.0627739
+0.0642096
+0.065687
+0.0671104
+0.0685299
+0.0844009
+0.0829817
+0.0815912
+0.0802259
+0.0788786
+0.0775698
+0.0762639
+0.0749386
+0.0736079
+0.0723153
+0.0710668
+0.0698239
+0.0685616
+0.067347
+0.0661826
+0.0650667
+0.063967
+0.0628717
+0.0618135
+0.0607612
+0.0597642
+0.0587296
+0.0576868
+0.056709
+0.0557883
+0.0548334
+0.0539333
+0.0531072
+0.0523598
+0.0516551
+0.050949
+0.0501938
+0.049492
+0.0488064
+0.0482065
+0.0476839
+0.0471946
+0.0468028
+0.0464505
+0.04618
+0.0460124
+0.0459486
+0.0457554
+0.0456266
+0.0455813
+0.0456327
+0.0457134
+0.0458931
+0.0460926
+0.0463717
+0.0467381
+0.0471899
+0.0477125
+0.0483289
+0.0490354
+0.0498185
+0.0506569
+0.05154
+0.0524809
+0.0523203
+0.0510465
+0.0498365
+0.0486951
+0.0476271
+0.0466376
+0.0457317
+0.0449145
+0.0441909
+0.0435655
+0.0430426
+0.0426261
+0.042319
+0.0421238
+0.0420419
+0.0420741
+0.0421996
+0.0424365
+0.0427844
+0.0432406
+0.0438017
+0.044448
+0.0451864
+0.045946
+0.0467867
+0.0477131
+0.0487085
+0.0497736
+0.0509108
+0.0520539
+0.0532528
+0.0545135
+0.0557776
+0.0570806
+0.0584258
+0.0598199
+0.0612465
+0.0627171
+0.0641432
+0.0655537
+0.0670062
+0.0828085
+0.0813811
+0.0799683
+0.0785882
+0.0772272
+0.0758899
+0.0745929
+0.0732869
+0.0719645
+0.0706418
+0.0693631
+0.0681309
+0.0668884
+0.0656428
+0.0644477
+0.0633042
+0.0622127
+0.0611145
+0.0600329
+0.0589887
+0.0579612
+0.0569994
+0.0559528
+0.0549447
+0.0540019
+0.0530712
+0.0521505
+0.0512957
+0.0505215
+0.0498317
+0.0491082
+0.0484037
+0.0476755
+0.0469872
+0.0463638
+0.0458367
+0.0453287
+0.0449206
+0.0445672
+0.044299
+0.0441242
+0.0440569
+0.043913
+0.0437899
+0.043747
+0.0438005
+0.0439231
+0.04411
+0.0443715
+0.0446675
+0.0450477
+0.0455118
+0.0460625
+0.0467006
+0.0474314
+0.0482305
+0.049096
+0.050011
+0.0509759
+0.0508106
+0.049498
+0.0482491
+0.0470692
+0.0459634
+0.0449373
+0.0439965
+0.0431464
+0.0423926
+0.0417403
+0.0411943
+0.0407588
+0.0404376
+0.0402332
+0.0401475
+0.0401811
+0.0403126
+0.0405605
+0.0409243
+0.041401
+0.0419828
+0.0426514
+0.0433828
+0.0441637
+0.0450376
+0.0459993
+0.0470303
+0.0481325
+0.0492462
+0.0504168
+0.0516538
+0.0528856
+0.0541706
+0.0554997
+0.0568811
+0.0582973
+0.0597603
+0.0611889
+0.0625894
+0.0640341
+0.0655139
+0.0812275
+0.0797929
+0.0783674
+0.0769617
+0.0755928
+0.0742366
+0.0729103
+0.0716262
+0.0703194
+0.0689972
+0.0676875
+0.0664242
+0.06521
+0.0639682
+0.0627412
+0.0615676
+0.0604464
+0.0593741
+0.0582802
+0.057221
+0.0561859
+0.0551931
+0.0542517
+0.0532114
+0.0522421
+0.051339
+0.050398
+0.0495148
+0.0487124
+0.0479966
+0.0472973
+0.0466281
+0.0458918
+0.0452009
+0.0445526
+0.0440038
+0.0434931
+0.0430676
+0.0427016
+0.0424291
+0.0422652
+0.0421835
+0.042104
+0.0419756
+0.0419469
+0.0420027
+0.0421586
+0.0423652
+0.0426716
+0.0430012
+0.0433989
+0.0438774
+0.0444587
+0.04512
+0.0458697
+0.0466913
+0.0475848
+0.0485304
+0.0495221
+0.0493407
+0.0479994
+0.0467106
+0.0454907
+0.0443456
+0.0432812
+0.0423035
+0.0414187
+0.0406329
+0.0399518
+0.039381
+0.0389253
+0.0385888
+0.0383746
+0.0382847
+0.03832
+0.038457
+0.0387168
+0.0390977
+0.0395964
+0.0401954
+0.0408932
+0.041606
+0.0424195
+0.0433287
+0.0443275
+0.0453957
+0.0464755
+0.0476134
+0.0488149
+0.0500182
+0.0512788
+0.0525898
+0.053958
+0.0553645
+0.0568184
+0.0582496
+0.0596386
+0.0610746
+0.0625507
+0.0640452
+0.0796753
+0.0782122
+0.0767837
+0.0753606
+0.0739626
+0.0726037
+0.0712552
+0.069941
+0.0686686
+0.0673636
+0.066042
+0.0647466
+0.0635003
+0.0623062
+0.0610656
+0.0598592
+0.0587088
+0.0576041
+0.0565483
+0.0554659
+0.0544401
+0.0534156
+0.0524619
+0.051513
+0.0505113
+0.0495817
+0.0486721
+0.0477681
+0.0469358
+0.0461924
+0.0455198
+0.044824
+0.0441392
+0.0434517
+0.0427768
+0.042205
+0.0416918
+0.0412478
+0.0408682
+0.0405834
+0.0404155
+0.040342
+0.0403193
+0.0401988
+0.0401839
+0.0402439
+0.040421
+0.0406593
+0.0409827
+0.0413793
+0.0417967
+0.0422932
+0.0428961
+0.0435848
+0.0443568
+0.0452059
+0.0461282
+0.047103
+0.0481242
+0.0478986
+0.0465438
+0.0452258
+0.0439648
+0.0427788
+0.0416744
+0.0406581
+0.0397367
+0.0389169
+0.0382053
+0.037608
+0.0371305
+0.0367776
+0.0365527
+0.0364584
+0.0364941
+0.036637
+0.0369096
+0.037309
+0.0378313
+0.0384497
+0.0391266
+0.0398704
+0.0407186
+0.0416649
+0.0427026
+0.0437486
+0.0448487
+0.0460068
+0.04718
+0.0484102
+0.0497003
+0.0510519
+0.0524506
+0.0538919
+0.0553276
+0.0567035
+0.0581295
+0.0596012
+0.0610893
+0.0626157
+0.0781537
+0.0766616
+0.0752037
+0.073782
+0.0723615
+0.070972
+0.0696237
+0.0682842
+0.0669833
+0.065723
+0.0644212
+0.0631005
+0.0618211
+0.0605939
+0.0594197
+0.0581792
+0.056996
+0.0558639
+0.0547892
+0.0537391
+0.0526835
+0.0516698
+0.0506833
+0.0497651
+0.0488173
+0.0478594
+0.0469583
+0.0460563
+0.0451955
+0.0444231
+0.0437468
+0.0430559
+0.0424156
+0.041707
+0.0410412
+0.0404449
+0.0399294
+0.0394656
+0.0390716
+0.0387736
+0.0385978
+0.0385371
+0.0385134
+0.0384647
+0.0384491
+0.0385294
+0.0387063
+0.0389898
+0.0393433
+0.0397728
+0.0402499
+0.0407653
+0.0413904
+0.0421038
+0.0429024
+0.0437798
+0.0447315
+0.0457361
+0.0467871
+0.0465151
+0.0451188
+0.0437875
+0.042497
+0.0412689
+0.0401229
+0.0390663
+0.0381064
+0.0372507
+0.0365067
+0.0358811
+0.0353804
+0.0350098
+0.0347735
+0.0346743
+0.0347095
+0.0348597
+0.035146
+0.0355653
+0.0361068
+0.0367412
+0.0374042
+0.0381816
+0.0390665
+0.0400518
+0.0410745
+0.0421306
+0.0432384
+0.0443711
+0.0455716
+0.0468375
+0.0481697
+0.049552
+0.0509834
+0.0524198
+0.0537867
+0.0552011
+0.0566649
+0.0581482
+0.0596694
+0.0612268
+0.0766496
+0.0751428
+0.0736549
+0.0722027
+0.0707886
+0.0693711
+0.0679911
+0.0666545
+0.0653251
+0.064039
+0.0627922
+0.0614881
+0.0601744
+0.0589129
+0.057707
+0.056531
+0.0553125
+0.0541551
+0.0530472
+0.0520066
+0.0509588
+0.0499384
+0.0489381
+0.0479955
+0.0471075
+0.046172
+0.0452513
+0.044376
+0.043496
+0.0426928
+0.0419887
+0.0413282
+0.0406788
+0.0399986
+0.039346
+0.0387235
+0.0382108
+0.0377265
+0.0373172
+0.0370051
+0.0368208
+0.0367632
+0.0367493
+0.0367737
+0.0367327
+0.0368216
+0.0370186
+0.037315
+0.0377195
+0.0382013
+0.0387619
+0.0393002
+0.0399482
+0.0406868
+0.0415128
+0.0424189
+0.0434004
+0.0444351
+0.0455162
+0.0451955
+0.043757
+0.042383
+0.0410799
+0.0398223
+0.0386334
+0.0375349
+0.0365348
+0.0356414
+0.034863
+0.0342074
+0.0336818
+0.0332923
+0.0330437
+0.0329393
+0.0329738
+0.0331319
+0.0334331
+0.0338735
+0.0344326
+0.0350386
+0.0357332
+0.0365461
+0.0374697
+0.0384641
+0.0394684
+0.0405171
+0.0416007
+0.0427691
+0.0440065
+0.0453151
+0.0466709
+0.0480883
+0.0495266
+0.050889
+0.0522923
+0.053746
+0.0552242
+0.0567393
+0.0582926
+0.0598645
+0.0751574
+0.0736423
+0.0721393
+0.070656
+0.0692103
+0.0678032
+0.0663905
+0.0650211
+0.0636975
+0.0623794
+0.0611092
+0.0598695
+0.0585598
+0.0572627
+0.0560213
+0.0548394
+0.0536656
+0.052472
+0.0513396
+0.0502636
+0.0492544
+0.0482168
+0.047229
+0.0462526
+0.0453514
+0.0445069
+0.043579
+0.0427068
+0.0418378
+0.0410066
+0.040273
+0.0396463
+0.0389689
+0.0383379
+0.0376813
+0.0370497
+0.0365196
+0.0360261
+0.0356093
+0.0352821
+0.0350888
+0.03503
+0.0350305
+0.0350807
+0.0350512
+0.0351444
+0.0353713
+0.0356869
+0.0361148
+0.0366558
+0.0372799
+0.0379029
+0.0385765
+0.0393409
+0.0401945
+0.0411297
+0.0421413
+0.0432062
+0.0443172
+0.0439455
+0.0424647
+0.0410475
+0.0397006
+0.0384314
+0.0372123
+0.0360704
+0.0350286
+0.0340957
+0.0332812
+0.0325938
+0.0320417
+0.031632
+0.0313703
+0.0312603
+0.0312953
+0.0314618
+0.0317788
+0.0322419
+0.0327951
+0.0333929
+0.034121
+0.0349715
+0.035929
+0.0368723
+0.037845
+0.0388799
+0.0400079
+0.0412139
+0.0424855
+0.0438193
+0.04522
+0.0466596
+0.0480034
+0.0494065
+0.0508484
+0.0523157
+0.0538201
+0.0553703
+0.0569439
+0.0585468
+0.0736039
+0.0721545
+0.0706429
+0.0691442
+0.0676662
+0.0662276
+0.0648229
+0.0634195
+0.0620618
+0.0607527
+0.0594492
+0.0581939
+0.056962
+0.0556498
+0.0543716
+0.053153
+0.0519982
+0.0508276
+0.0496624
+0.0485569
+0.0475189
+0.0465156
+0.0455105
+0.0445493
+0.0436219
+0.0427562
+0.0419545
+0.0410477
+0.040207
+0.0393701
+0.0386054
+0.0379519
+0.0373093
+0.036698
+0.0360484
+0.0354322
+0.0348775
+0.0343788
+0.0339532
+0.0336113
+0.0334083
+0.0333484
+0.0333519
+0.0333986
+0.0334256
+0.0335252
+0.033765
+0.034117
+0.0345692
+0.035134
+0.035824
+0.0365604
+0.0372725
+0.0380723
+0.038955
+0.0399192
+0.0409607
+0.0420554
+0.0431961
+0.0427713
+0.0412483
+0.0397878
+0.0383967
+0.037083
+0.0358389
+0.0346824
+0.0335975
+0.0326238
+0.0317715
+0.0310507
+0.0304707
+0.0300396
+0.0297639
+0.0296479
+0.0296836
+0.0298591
+0.030193
+0.0306453
+0.031185
+0.031813
+0.0325764
+0.0334662
+0.034348
+0.0352374
+0.0362197
+0.0372995
+0.0384682
+0.0396961
+0.0410036
+0.0423841
+0.0438214
+0.0451434
+0.046531
+0.0479758
+0.0494201
+0.0509157
+0.0524603
+0.0540432
+0.0556434
+0.0572827
+0.0720535
+0.0705979
+0.0691599
+0.0676523
+0.0661585
+0.0646865
+0.063256
+0.0618534
+0.0604605
+0.059116
+0.0578233
+0.0565369
+0.055298
+0.0540757
+0.0527613
+0.0515046
+0.050312
+0.049188
+0.0480216
+0.046889
+0.0458147
+0.0448204
+0.0438247
+0.0428543
+0.0419262
+0.0410478
+0.0402322
+0.0394375
+0.038596
+0.037773
+0.0369924
+0.0363099
+0.0357032
+0.0350864
+0.0344417
+0.0338599
+0.0332987
+0.0327953
+0.0323488
+0.0320033
+0.0317901
+0.0317271
+0.0317352
+0.0317731
+0.0318128
+0.0319579
+0.0322095
+0.0325962
+0.0330848
+0.0336859
+0.034405
+0.0352458
+0.0360398
+0.0368781
+0.0377993
+0.0387947
+0.0398656
+0.0409896
+0.0421591
+0.0416792
+0.0401148
+0.0386114
+0.0371763
+0.0358179
+0.0345283
+0.0333288
+0.0322337
+0.0312362
+0.030345
+0.0295895
+0.0289802
+0.0285266
+0.0282362
+0.0281139
+0.0281503
+0.0283353
+0.0286608
+0.0291097
+0.0296493
+0.0303091
+0.0311096
+0.0319158
+0.0327149
+0.0336345
+0.0346519
+0.0357681
+0.0369558
+0.0382316
+0.0395875
+0.0410122
+0.0423122
+0.0436799
+0.0451125
+0.0465505
+0.0480356
+0.049573
+0.0511581
+0.0527621
+0.0544
+0.0560607
+0.0705371
+0.0690496
+0.0676003
+0.0661748
+0.0646719
+0.0631837
+0.0617184
+0.0602972
+0.0588972
+0.0575162
+0.0561866
+0.0549123
+0.0536454
+0.0524251
+0.0511938
+0.049898
+0.0486659
+0.047503
+0.0464144
+0.0452539
+0.0441535
+0.0431208
+0.0421734
+0.0411863
+0.0402613
+0.0393721
+0.0385365
+0.0377886
+0.0370014
+0.0361951
+0.0354415
+0.034724
+0.0341121
+0.0335028
+0.0328995
+0.0323252
+0.0317925
+0.031285
+0.0308166
+0.030468
+0.030244
+0.0301777
+0.030191
+0.0301606
+0.0302023
+0.0303711
+0.0306652
+0.031084
+0.0316264
+0.0322714
+0.0330493
+0.0339205
+0.0348909
+0.0357693
+0.0367271
+0.0377639
+0.0388632
+0.0400154
+0.0412125
+0.0406758
+0.0390713
+0.0375261
+0.0360479
+0.0346452
+0.0333102
+0.0320652
+0.0309254
+0.0299029
+0.0290052
+0.0282228
+0.0275834
+0.0271064
+0.0268005
+0.0266717
+0.0266935
+0.0268658
+0.027181
+0.027654
+0.0282003
+0.0288933
+0.0295874
+0.0302896
+0.0311304
+0.0320732
+0.0331314
+0.0342766
+0.0355134
+0.0368391
+0.0382409
+0.0395211
+0.0408647
+0.0422792
+0.0437121
+0.0451843
+0.0467128
+0.0482924
+0.0499031
+0.0515423
+0.0531998
+0.0548711
+0.0690063
+0.0675367
+0.0660543
+0.0646121
+0.0632006
+0.061703
+0.0602213
+0.0587638
+0.057353
+0.0559564
+0.0545889
+0.0532763
+0.052023
+0.050777
+0.0495687
+0.0483372
+0.0470643
+0.0458608
+0.0447323
+0.0436673
+0.0425317
+0.0414674
+0.0404847
+0.0395511
+0.0386055
+0.0377327
+0.0368878
+0.0361112
+0.0353944
+0.0346712
+0.0338982
+0.0331977
+0.0325572
+0.0319908
+0.0314306
+0.0308328
+0.030336
+0.0298592
+0.0293635
+0.0289978
+0.0287817
+0.0287121
+0.0287249
+0.0286013
+0.0286453
+0.0288151
+0.0291036
+0.0295425
+0.0301118
+0.0307886
+0.0315952
+0.032502
+0.0335257
+0.0346501
+0.035757
+0.03683
+0.0379578
+0.0391397
+0.0403628
+0.0397679
+0.0381252
+0.0365401
+0.0350202
+0.0335746
+0.0321953
+0.0309054
+0.0297212
+0.0286558
+0.0277228
+0.0269285
+0.0262793
+0.0257782
+0.0254563
+0.0253084
+0.0253011
+0.0254704
+0.0258026
+0.0262568
+0.026834
+0.0273962
+0.0279822
+0.0287237
+0.0295942
+0.0305814
+0.0316739
+0.0328627
+0.0341508
+0.0355231
+0.0367791
+0.0380935
+0.0394858
+0.0409114
+0.0423676
+0.043885
+0.0454572
+0.0470685
+0.0487107
+0.050367
+0.0520287
+0.0537026
+0.0674678
+0.066008
+0.0645456
+0.063069
+0.0616348
+0.0602381
+0.0587475
+0.0572732
+0.0558248
+0.054426
+0.0530335
+0.0516814
+0.0503884
+0.0491591
+0.0479338
+0.0467393
+0.0455119
+0.0442662
+0.0430959
+0.0420074
+0.0409569
+0.0398642
+0.0388426
+0.0379186
+0.0370025
+0.0360963
+0.0352691
+0.0344761
+0.0337862
+0.0331171
+0.0324139
+0.0317377
+0.031079
+0.0305513
+0.0299878
+0.029428
+0.0289507
+0.0284977
+0.0279987
+0.027615
+0.0273978
+0.0273247
+0.0272597
+0.0271295
+0.027175
+0.027329
+0.0276255
+0.0280874
+0.0286656
+0.0293758
+0.0302105
+0.0311556
+0.0322162
+0.0333741
+0.0346136
+0.0359353
+0.0371377
+0.0383692
+0.0396161
+0.0389622
+0.037284
+0.0356615
+0.0341025
+0.0326163
+0.0311946
+0.0298615
+0.0286342
+0.0275267
+0.0265541
+0.0257295
+0.0250433
+0.0245169
+0.0241783
+0.0240231
+0.0240059
+0.0241807
+0.0245162
+0.0249656
+0.0253902
+0.0258406
+0.0264611
+0.0272262
+0.0281224
+0.0291475
+0.0302773
+0.0315188
+0.0328493
+0.0340982
+0.0353765
+0.0367411
+0.0381567
+0.0395931
+0.0410961
+0.0426586
+0.0442692
+0.045907
+0.0475672
+0.0492099
+0.0508868
+0.052586
+0.0659655
+0.0644717
+0.0630187
+0.0615644
+0.0600951
+0.0586701
+0.0572823
+0.0558075
+0.0543419
+0.0529039
+0.0515104
+0.0501316
+0.0487975
+0.047527
+0.0463253
+0.045124
+0.0439462
+0.0427243
+0.0415106
+0.0403794
+0.0393377
+0.0383052
+0.037257
+0.0362926
+0.0354327
+0.0345062
+0.03367
+0.0329057
+0.0321822
+0.0314529
+0.0307681
+0.030151
+0.029597
+0.0291201
+0.0286259
+0.0281184
+0.0275628
+0.0271347
+0.026744
+0.026342
+0.0261142
+0.0260375
+0.0258205
+0.0257191
+0.025753
+0.0259349
+0.0262471
+0.0267204
+0.0273057
+0.02804
+0.028903
+0.0298722
+0.0309632
+0.0321367
+0.0334128
+0.0347802
+0.0362285
+0.0376984
+0.0389784
+0.0382572
+0.0365549
+0.0348985
+0.0333039
+0.0317803
+0.0303194
+0.0289461
+0.0276782
+0.0265308
+0.0255203
+0.0246635
+0.0239443
+0.0233932
+0.0230375
+0.0228498
+0.0228344
+0.0230103
+0.0233395
+0.0235637
+0.0238823
+0.0243829
+0.025004
+0.0257915
+0.0267233
+0.027779
+0.0289622
+0.0302567
+0.0314939
+0.0327274
+0.0340568
+0.0354566
+0.0368701
+0.0383546
+0.0399043
+0.0415118
+0.0431436
+0.0447945
+0.0464268
+0.0481009
+0.0497989
+0.0515341
+0.0644971
+0.0629741
+0.0614858
+0.0600405
+0.0585943
+0.0571344
+0.0557198
+0.0543424
+0.0528856
+0.0514274
+0.0500043
+0.0486164
+0.0472546
+0.0459415
+0.0446972
+0.0435234
+0.0423471
+0.0411865
+0.0399826
+0.0388068
+0.0377217
+0.0367353
+0.0357255
+0.0347288
+0.0338327
+0.032985
+0.0321092
+0.0313551
+0.0305829
+0.0298515
+0.029151
+0.0285461
+0.0280364
+0.0275527
+0.0271165
+0.0266564
+0.0260542
+0.0255928
+0.0253132
+0.0251954
+0.0249572
+0.0247538
+0.0244607
+0.0243536
+0.0244061
+0.0246154
+0.0249832
+0.0254199
+0.0260071
+0.0267568
+0.0276381
+0.0286467
+0.029757
+0.0309762
+0.0322982
+0.0337108
+0.0352031
+0.0367655
+0.0383821
+0.03765
+0.0359243
+0.0342401
+0.0326132
+0.0310558
+0.0295783
+0.0281716
+0.0268671
+0.0256836
+0.0246383
+0.0237497
+0.023002
+0.0224278
+0.0220332
+0.0218323
+0.0218093
+0.0218292
+0.0218206
+0.0220029
+0.0223851
+0.0229253
+0.0236223
+0.0244517
+0.0253995
+0.0264725
+0.0276565
+0.0289437
+0.030147
+0.0314334
+0.0328128
+0.034211
+0.0356717
+0.0372041
+0.0387997
+0.0404288
+0.0420615
+0.043686
+0.0453557
+0.0470507
+0.0487853
+0.0505407
+0.0630613
+0.061512
+0.0599936
+0.0585115
+0.0570749
+0.0556375
+0.0541891
+0.0527864
+0.0514211
+0.0499848
+0.0485286
+0.0471262
+0.045749
+0.0444074
+0.0431188
+0.0419053
+0.0407461
+0.0396084
+0.0384561
+0.0372966
+0.0361663
+0.0351363
+0.0342157
+0.0332341
+0.0322983
+0.0314437
+0.0305736
+0.0297317
+0.0289934
+0.0282763
+0.0275899
+0.0270087
+0.026489
+0.0260425
+0.0255506
+0.0250673
+0.0246265
+0.0241378
+0.0238411
+0.0237358
+0.0237741
+0.0235316
+0.0232155
+0.0231026
+0.0231708
+0.0233911
+0.0237666
+0.0242011
+0.0248123
+0.0255728
+0.0264778
+0.0275079
+0.0286555
+0.0299196
+0.0312863
+0.0327426
+0.0342771
+0.0358647
+0.0375098
+0.0371621
+0.0354127
+0.0337029
+0.0320488
+0.0304625
+0.0289552
+0.0275397
+0.0262146
+0.0250001
+0.0239251
+0.0230089
+0.0222328
+0.0216225
+0.0212031
+0.0208272
+0.0203975
+0.0201855
+0.0201762
+0.0203696
+0.0207819
+0.0213699
+0.0220979
+0.0229892
+0.0240254
+0.0251205
+0.0263511
+0.0276609
+0.0288919
+0.0302318
+0.0316287
+0.0330614
+0.0345707
+0.0361498
+0.037773
+0.0393826
+0.0409962
+0.0426588
+0.0443487
+0.0460808
+0.0478222
+0.0495828
+0.0616685
+0.0600847
+0.0585386
+0.0570257
+0.0555507
+0.0541243
+0.0526969
+0.0512618
+0.049873
+0.0485217
+0.0471021
+0.045656
+0.044271
+0.0429133
+0.0415917
+0.0403314
+0.0391532
+0.0380183
+0.0369199
+0.0357838
+0.0346707
+0.0335948
+0.0326306
+0.031687
+0.0307432
+0.0298358
+0.0289506
+0.0281537
+0.0273978
+0.0267149
+0.0260526
+0.0254904
+0.0249858
+0.0245729
+0.0239961
+0.0234808
+0.0231621
+0.0228007
+0.0224864
+0.0223831
+0.0224568
+0.0223824
+0.0220891
+0.0219704
+0.0220697
+0.0223153
+0.0226608
+0.0230862
+0.023692
+0.0244708
+0.0254079
+0.0264717
+0.0276684
+0.0289815
+0.0303957
+0.0318913
+0.0334311
+0.0350194
+0.0366699
+0.0367984
+0.0350308
+0.0333014
+0.0316263
+0.0300177
+0.0284869
+0.0270469
+0.0257034
+0.0244801
+0.0233956
+0.022445
+0.0216196
+0.0207502
+0.0199066
+0.0192595
+0.0188119
+0.018595
+0.0186148
+0.0188478
+0.0192927
+0.019916
+0.0206894
+0.0216387
+0.0227243
+0.0238773
+0.0251443
+0.0264693
+0.0277533
+0.0291419
+0.0305391
+0.0320206
+0.0335758
+0.0351798
+0.0367697
+0.0383681
+0.04002
+0.0417018
+0.0434289
+0.0451526
+0.0469069
+0.0486624
+0.0602791
+0.058703
+0.0571211
+0.0555789
+0.0540723
+0.0526058
+0.051191
+0.0497754
+0.0483558
+0.0469833
+0.0456484
+0.0442454
+0.0428148
+0.0414506
+0.0401115
+0.0388157
+0.0375901
+0.036455
+0.0353517
+0.0342728
+0.0331857
+0.0321162
+0.0310578
+0.0300486
+0.0291174
+0.0282387
+0.0273824
+0.0265819
+0.0258787
+0.0251648
+0.0245359
+0.0239753
+0.0235587
+0.0231288
+0.0225393
+0.0219899
+0.0216493
+0.0214957
+0.0212715
+0.0211623
+0.0211765
+0.0211663
+0.0209557
+0.0208588
+0.0209633
+0.0212939
+0.0216506
+0.0220868
+0.0227103
+0.0235037
+0.0244364
+0.0255191
+0.0267174
+0.0280201
+0.0294119
+0.0308964
+0.032461
+0.0340809
+0.0357478
+0.0365626
+0.034783
+0.0330406
+0.0313516
+0.0297282
+0.0281816
+0.0267252
+0.025272
+0.0239045
+0.0225851
+0.0213601
+0.020213
+0.0192215
+0.0184164
+0.0177837
+0.0173435
+0.017108
+0.0171447
+0.0174101
+0.0178919
+0.0185993
+0.0194263
+0.0204034
+0.0214929
+0.0227104
+0.024045
+0.0254066
+0.0267353
+0.0281292
+0.0295719
+0.031088
+0.0326715
+0.0342377
+0.0358152
+0.0374516
+0.0391211
+0.0408208
+0.0425368
+0.0442802
+0.0459693
+0.0476877
+0.0588974
+0.0573093
+0.0557519
+0.0541725
+0.0526351
+0.0511361
+0.0496795
+0.0482784
+0.0468766
+0.0454749
+0.0441218
+0.0428064
+0.0414233
+0.0400118
+0.0386729
+0.0373565
+0.0360923
+0.0349085
+0.0338214
+0.0327611
+0.0317075
+0.0305529
+0.0294729
+0.0284444
+0.027506
+0.0266243
+0.0257814
+0.0249939
+0.0242843
+0.0236888
+0.0230476
+0.0225433
+0.0221193
+0.0216722
+0.0210481
+0.0206136
+0.0202504
+0.0201057
+0.0198378
+0.019684
+0.0197164
+0.0196965
+0.0196972
+0.0198658
+0.020005
+0.0202852
+0.0205389
+0.0209793
+0.0215914
+0.0224018
+0.0233666
+0.0244437
+0.0256627
+0.027003
+0.0284445
+0.0299566
+0.0315341
+0.0331626
+0.0348527
+0.0358011
+0.0339398
+0.0321201
+0.0303494
+0.0286369
+0.0269736
+0.0253738
+0.0238288
+0.0223918
+0.0210849
+0.019849
+0.0187316
+0.017751
+0.0169057
+0.0162544
+0.0158764
+0.0157167
+0.0157638
+0.0160905
+0.016641
+0.0174221
+0.0182596
+0.0192287
+0.0203483
+0.0216224
+0.0230195
+0.0244705
+0.0258358
+0.0272527
+0.0287176
+0.0302277
+0.031702
+0.033242
+0.0348488
+0.0365164
+0.0382253
+0.0398485
+0.0415239
+0.0432453
+0.0449451
+0.0466129
+0.0575587
+0.0559379
+0.0543538
+0.0528011
+0.0512416
+0.0497101
+0.0482202
+0.0467753
+0.0453903
+0.0440049
+0.0426235
+0.0412945
+0.0400025
+0.0386436
+0.0372555
+0.0359475
+0.0346595
+0.0334341
+0.0323015
+0.0312682
+0.0301303
+0.0290205
+0.0279074
+0.026888
+0.0259381
+0.025035
+0.0241807
+0.0234115
+0.0227417
+0.0221305
+0.0216788
+0.0211724
+0.0206406
+0.020095
+0.0196516
+0.0192118
+0.018973
+0.0185943
+0.0183207
+0.0181998
+0.0182825
+0.0183239
+0.0183247
+0.0185707
+0.0190325
+0.0191451
+0.0193279
+0.0197491
+0.0203766
+0.0211858
+0.0221424
+0.0232661
+0.0245344
+0.0259005
+0.0273662
+0.0289198
+0.0305479
+0.0322181
+0.0339432
+0.0347437
+0.032879
+0.0310569
+0.0292242
+0.0274416
+0.0257221
+0.0240617
+0.0224697
+0.0209786
+0.0195781
+0.0183327
+0.0172271
+0.0162281
+0.0154456
+0.0148374
+0.0144375
+0.0143044
+0.0144848
+0.0148798
+0.0155242
+0.0163782
+0.0172141
+0.0181919
+0.0193677
+0.0207023
+0.022158
+0.0236416
+0.0250338
+0.0262916
+0.0276289
+0.02907
+0.0306001
+0.0321929
+0.0338495
+0.0354256
+0.0370419
+0.0387148
+0.0404371
+0.042197
+0.0438486
+0.0455457
+0.0561948
+0.0546126
+0.0529943
+0.0514148
+0.0498672
+0.0483315
+0.0468073
+0.0453284
+0.0438977
+0.0425318
+0.0411661
+0.0398074
+0.0385088
+0.0372422
+0.0359153
+0.0345565
+0.0332866
+0.0320352
+0.0308581
+0.0297888
+0.0285822
+0.0274586
+0.0263672
+0.0253332
+0.0243891
+0.0234733
+0.0226281
+0.0218735
+0.0212266
+0.0206786
+0.0202084
+0.0197016
+0.0191003
+0.0185776
+0.0181769
+0.017923
+0.0173959
+0.0170527
+0.0168388
+0.0167768
+0.0169312
+0.0170202
+0.0171083
+0.0173847
+0.017788
+0.0179028
+0.018042
+0.0184422
+0.0190637
+0.0198838
+0.0209014
+0.0220883
+0.0233831
+0.0248042
+0.0263219
+0.0279045
+0.0295648
+0.0312905
+0.0330713
+0.0337733
+0.0318518
+0.0299673
+0.0281272
+0.0263349
+0.0245803
+0.0228509
+0.0211887
+0.0196233
+0.0181707
+0.0168336
+0.0156724
+0.0146911
+0.0139045
+0.0133623
+0.0130856
+0.0130574
+0.0132364
+0.0137165
+0.0144636
+0.0154328
+0.0163257
+0.0173537
+0.0185842
+0.0199787
+0.0214731
+0.0227106
+0.0238655
+0.0251435
+0.0265388
+0.0280359
+0.0296195
+0.0311453
+0.0326798
+0.0342856
+0.0359532
+0.0376744
+0.0394044
+0.0411318
+0.0428097
+0.0445045
+0.054768
+0.0532418
+0.051662
+0.0500692
+0.0484948
+0.0469544
+0.0454462
+0.0439312
+0.0424657
+0.0410522
+0.0397093
+0.0383674
+0.0370357
+0.0357746
+0.0345279
+0.0332271
+0.0319091
+0.030686
+0.0294822
+0.0282804
+0.0271113
+0.0259369
+0.0248634
+0.0238215
+0.0228736
+0.0219544
+0.0211266
+0.0203962
+0.0197784
+0.0192638
+0.0188423
+0.0181111
+0.0175548
+0.017133
+0.0167615
+0.0163542
+0.0158188
+0.0155017
+0.0153985
+0.015448
+0.0156563
+0.0157363
+0.0158546
+0.0162697
+0.0165709
+0.0166321
+0.0167818
+0.0172113
+0.0178518
+0.0186945
+0.0197272
+0.020939
+0.0223007
+0.0237864
+0.0253411
+0.0269813
+0.0286699
+0.0303852
+0.0321583
+0.0328878
+0.0309414
+0.0290025
+0.027097
+0.0252377
+0.0234358
+0.0216854
+0.0200133
+0.0183782
+0.0168448
+0.0154502
+0.0142196
+0.0131834
+0.0123935
+0.0118995
+0.0116533
+0.0117568
+0.0120856
+0.0126773
+0.0135376
+0.0145693
+0.0154532
+0.0165355
+0.0178225
+0.0191561
+0.0203867
+0.0215887
+0.0228059
+0.0241401
+0.0255901
+0.0270755
+0.0284925
+0.0300026
+0.0315926
+0.033251
+0.0349254
+0.0366219
+0.0383627
+0.040087
+0.0417774
+0.0434867
+0.0533172
+0.0518196
+0.0503062
+0.0487297
+0.0471663
+0.0455972
+0.0440668
+0.0425899
+0.0410874
+0.0396385
+0.0382459
+0.0369309
+0.0356184
+0.0343198
+0.0331043
+0.0318837
+0.0306033
+0.0293484
+0.0280141
+0.0267636
+0.0256226
+0.0244746
+0.0233729
+0.0223597
+0.0214041
+0.0204561
+0.019652
+0.0189862
+0.0183939
+0.0179004
+0.0172462
+0.0165884
+0.0160439
+0.0156979
+0.015434
+0.0147431
+0.0142984
+0.0140427
+0.0139926
+0.014125
+0.0144419
+0.0144232
+0.0146661
+0.0150566
+0.0152031
+0.015478
+0.0156354
+0.0160378
+0.0166983
+0.0175928
+0.0186865
+0.0199616
+0.021369
+0.0228695
+0.0244143
+0.0260415
+0.0277464
+0.0295154
+0.0313214
+0.0320743
+0.0300753
+0.0281048
+0.0261693
+0.0242773
+0.0224041
+0.0205873
+0.0188443
+0.017175
+0.0156255
+0.0141809
+0.0128614
+0.0118037
+0.0109658
+0.0104564
+0.0103129
+0.0104645
+0.0109137
+0.0116903
+0.01273
+0.013763
+0.0145231
+0.0154888
+0.0166357
+0.0179757
+0.0190877
+0.0203053
+0.0216539
+0.0230655
+0.0245696
+0.0259385
+0.0274143
+0.0289807
+0.0305553
+0.0321926
+0.0338922
+0.0355972
+0.0372337
+0.0389247
+0.0406634
+0.0423819
+0.0518983
+0.0503792
+0.0488892
+0.0473913
+0.0458193
+0.0442899
+0.0427244
+0.0411994
+0.0397367
+0.0382831
+0.0368548
+0.0354883
+0.0342062
+0.0329313
+0.0316741
+0.0304758
+0.0291366
+0.0278551
+0.0266298
+0.0253274
+0.0241366
+0.0230749
+0.0219283
+0.02091
+0.0199757
+0.019054
+0.0182218
+0.0175812
+0.0170529
+0.0164805
+0.0157414
+0.0150454
+0.0145745
+0.0142942
+0.0138258
+0.013234
+0.0127825
+0.0126483
+0.0127107
+0.0128404
+0.0131056
+0.0131246
+0.0134562
+0.0137146
+0.0139222
+0.0142693
+0.0146272
+0.0150562
+0.0157217
+0.0166349
+0.0177136
+0.0189692
+0.0203715
+0.0218885
+0.0234865
+0.0251739
+0.0269047
+0.0286926
+0.0305205
+0.0312149
+0.0292749
+0.0273245
+0.0253295
+0.0233696
+0.0214544
+0.0195903
+0.0177987
+0.0160849
+0.0144337
+0.0129136
+0.0116098
+0.0105323
+0.00964345
+0.00907719
+0.00884357
+0.00911523
+0.00978306
+0.0108418
+0.0118179
+0.0125412
+0.0132942
+0.0142839
+0.0155201
+0.0166971
+0.0177899
+0.019032
+0.0203939
+0.0218299
+0.0233097
+0.024856
+0.0263654
+0.0279047
+0.0295265
+0.0311625
+0.0327923
+0.0344227
+0.0361125
+0.0378007
+0.0395222
+0.0412848
+0.0504446
+0.048951
+0.0474554
+0.0459524
+0.0444842
+0.0429351
+0.0414227
+0.0398778
+0.0383647
+0.0369196
+0.0355276
+0.034121
+0.0327879
+0.0315301
+0.0303228
+0.0290961
+0.0277039
+0.0264074
+0.0251883
+0.0239882
+0.0227456
+0.0216347
+0.0205532
+0.0195182
+0.0185413
+0.017657
+0.0168914
+0.016238
+0.0156138
+0.0148082
+0.0141106
+0.0136522
+0.0131789
+0.0129129
+0.0122192
+0.0116743
+0.0113105
+0.0112117
+0.0113119
+0.01155
+0.0118322
+0.011982
+0.0123868
+0.012435
+0.01261
+0.0129802
+0.0134963
+0.0138937
+0.0146123
+0.0155875
+0.016708
+0.0179683
+0.0193646
+0.0208839
+0.022514
+0.0242308
+0.0260188
+0.0278411
+0.0296594
+0.030314
+0.0283363
+0.0263666
+0.0244345
+0.0225498
+0.0206301
+0.0187117
+0.0168268
+0.0150252
+0.0133403
+0.0117753
+0.0104123
+0.00926311
+0.0083213
+0.007703
+0.00757594
+0.00795551
+0.00873041
+0.00970357
+0.0106293
+0.011399
+0.0121065
+0.0131109
+0.0143762
+0.0154193
+0.0165286
+0.0177694
+0.0191174
+0.0205331
+0.0220394
+0.0236165
+0.0252469
+0.0268886
+0.0284493
+0.030039
+0.0316654
+0.03331
+0.0349781
+0.0366906
+0.0384047
+0.040165
+0.0490457
+0.0475082
+0.0460235
+0.0445318
+0.0430383
+0.0415832
+0.0400792
+0.0385699
+0.0370715
+0.0355739
+0.0341512
+0.0328133
+0.0314376
+0.030145
+0.0289358
+0.0276591
+0.0263385
+0.0250088
+0.0237645
+0.0225572
+0.021358
+0.0202699
+0.0191891
+0.0181108
+0.0171123
+0.0162853
+0.0156016
+0.0149222
+0.0140033
+0.0131488
+0.0125083
+0.0120075
+0.0118635
+0.0112202
+0.0106129
+0.0101241
+0.00980926
+0.00979905
+0.00999976
+0.0103957
+0.010506
+0.0107291
+0.0111035
+0.0112128
+0.0114098
+0.0117721
+0.0124745
+0.0128485
+0.0134966
+0.0144405
+0.0155908
+0.0168965
+0.0183586
+0.0199454
+0.0216012
+0.0233403
+0.0251024
+0.0269213
+0.0287641
+0.0294589
+0.0274546
+0.0254613
+0.0235032
+0.021541
+0.0196229
+0.017768
+0.0159099
+0.0140606
+0.0123118
+0.0107264
+0.009237
+0.0079951
+0.00707997
+0.00660512
+0.00655709
+0.0070358
+0.00778635
+0.00849535
+0.00945506
+0.0102018
+0.0109421
+0.0119672
+0.0131264
+0.0141946
+0.0152832
+0.0165053
+0.0178452
+0.0192809
+0.0208077
+0.0223979
+0.0240445
+0.0257634
+0.0273457
+0.0289314
+0.0305433
+0.0321864
+0.033845
+0.0355612
+0.0373271
+0.0390482
+0.0477065
+0.0461243
+0.0445936
+0.0431199
+0.0416334
+0.0401515
+0.0387128
+0.0372523
+0.035758
+0.0343153
+0.0328382
+0.0314444
+0.0301456
+0.0288062
+0.0275305
+0.0262312
+0.0249192
+0.0236653
+0.0223691
+0.0211023
+0.0199316
+0.0187748
+0.0177202
+0.0167329
+0.0157631
+0.0149401
+0.0142732
+0.0134621
+0.012435
+0.0115896
+0.0109523
+0.0105335
+0.0103886
+0.00954494
+0.00899657
+0.00855705
+0.00833112
+0.00840536
+0.00872842
+0.00935297
+0.00926429
+0.00957417
+0.00983443
+0.0100381
+0.0102995
+0.0106695
+0.0113954
+0.0117927
+0.0124593
+0.0133411
+0.0144989
+0.0158688
+0.0173747
+0.0189533
+0.020644
+0.022412
+0.0242016
+0.0260499
+0.0279196
+0.0286672
+0.0266279
+0.0246146
+0.022625
+0.0206303
+0.0186796
+0.0167578
+0.0148683
+0.0130731
+0.0112579
+0.00952585
+0.00801638
+0.00675595
+0.00579387
+0.00530164
+0.00551715
+0.00632804
+0.00665503
+0.00735058
+0.00827807
+0.0089683
+0.00969777
+0.0107552
+0.0119372
+0.0129396
+0.0139945
+0.0152578
+0.0166064
+0.0180516
+0.0195777
+0.0212163
+0.0228776
+0.0246035
+0.0262346
+0.027803
+0.0293945
+0.0310477
+0.0327639
+0.0344516
+0.0361497
+0.0378975
+0.0463947
+0.044803
+0.0432274
+0.0417055
+0.0402453
+0.038766
+0.0372876
+0.0358721
+0.0344693
+0.0329432
+0.03149
+0.0300815
+0.0286063
+0.0271945
+0.0258753
+0.0246413
+0.0234335
+0.0222431
+0.0209064
+0.019654
+0.0184507
+0.0173056
+0.0162664
+0.0152897
+0.014379
+0.0136191
+0.012927
+0.0120634
+0.0109231
+0.0100751
+0.00946078
+0.0091533
+0.00862748
+0.00789878
+0.00742502
+0.00700924
+0.00691211
+0.00702571
+0.007584
+0.00807451
+0.0081139
+0.00858907
+0.00851511
+0.0087277
+0.00906977
+0.00960677
+0.0103277
+0.0106694
+0.011318
+0.0123131
+0.0134618
+0.0148158
+0.0163486
+0.0180179
+0.0197669
+0.021509
+0.0233192
+0.0251787
+0.0270347
+0.0277261
+0.0257702
+0.0238551
+0.0218149
+0.019797
+0.0178199
+0.0158293
+0.0138942
+0.012028
+0.0102223
+0.00853076
+0.00693312
+0.00554416
+0.00462137
+0.00427782
+0.00459633
+0.00513176
+0.00542854
+0.00613586
+0.00698311
+0.0077428
+0.00858869
+0.00967075
+0.0106893
+0.0116515
+0.0127804
+0.0140187
+0.0153661
+0.0168547
+0.0183849
+0.0200265
+0.0216852
+0.0233243
+0.0250209
+0.0266704
+0.0283131
+0.0299458
+0.0315854
+0.0332846
+0.0350383
+0.0367853
+0.045055
+0.0434857
+0.0419221
+0.040358
+0.0388497
+0.0374064
+0.0359325
+0.0344614
+0.0329535
+0.0314905
+0.0299669
+0.0285304
+0.0271078
+0.0256586
+0.0242706
+0.0229868
+0.0217935
+0.0205826
+0.0193882
+0.018153
+0.0169663
+0.0158657
+0.0148043
+0.0138371
+0.0130579
+0.0123199
+0.011586
+0.0105517
+0.00962109
+0.00871
+0.00806049
+0.00767908
+0.00698183
+0.00627755
+0.00586839
+0.00557576
+0.00550461
+0.00579478
+0.00653593
+0.00658287
+0.00690769
+0.00731441
+0.00725424
+0.00755501
+0.00793244
+0.00853438
+0.00935351
+0.00968924
+0.0102935
+0.0112587
+0.0124993
+0.0139429
+0.0154767
+0.0170978
+0.0188317
+0.0206293
+0.0223733
+0.0241799
+0.0260397
+0.0267312
+0.0248343
+0.0228435
+0.0208899
+0.0189881
+0.0170116
+0.0150318
+0.0130683
+0.0110875
+0.00919973
+0.00744734
+0.00580979
+0.00446832
+0.00359011
+0.0034492
+0.00385295
+0.00387621
+0.00429437
+0.00496427
+0.0057974
+0.00654009
+0.0073576
+0.00849936
+0.00948969
+0.0104156
+0.0115062
+0.0127456
+0.0141238
+0.0155866
+0.0171577
+0.0187953
+0.0204155
+0.0220905
+0.0237913
+0.0255482
+0.0271265
+0.0287616
+0.0304651
+0.0321833
+0.0339292
+0.0357241
+0.0437694
+0.0421625
+0.0406047
+0.0390659
+0.0374971
+0.0359615
+0.034481
+0.0330687
+0.0315171
+0.0299898
+0.0285309
+0.0270181
+0.0256035
+0.0241617
+0.0227509
+0.0213957
+0.0201606
+0.0189601
+0.0177587
+0.0165905
+0.015462
+0.0143938
+0.0133486
+0.0124003
+0.011614
+0.0109219
+0.00994553
+0.00899942
+0.00823168
+0.00756111
+0.0069572
+0.00603948
+0.0052604
+0.00466915
+0.00436001
+0.00416249
+0.00420429
+0.00475085
+0.00537437
+0.00524271
+0.00567354
+0.0061184
+0.00615474
+0.00648818
+0.00691625
+0.00753873
+0.00846845
+0.00871883
+0.00933929
+0.0103424
+0.0116248
+0.0130218
+0.0145989
+0.0161605
+0.0178034
+0.019554
+0.0213858
+0.0232692
+0.0251963
+0.0255448
+0.0237005
+0.0219163
+0.0199644
+0.0179696
+0.0160208
+0.0141424
+0.0121944
+0.0102325
+0.00835516
+0.00648638
+0.00478338
+0.00339908
+0.0026179
+0.00252102
+0.00271888
+0.00270919
+0.00312698
+0.00375321
+0.00466435
+0.00537463
+0.006186
+0.00741439
+0.00826329
+0.00912356
+0.0102066
+0.0114624
+0.0128484
+0.0143584
+0.0159655
+0.0175187
+0.0191572
+0.0208469
+0.0226004
+0.0243417
+0.0259986
+0.0276834
+0.029366
+0.0311108
+0.0329079
+0.0347261
+0.0424008
+0.0407712
+0.0391745
+0.0376244
+0.0360507
+0.0345143
+0.0329861
+0.0315181
+0.0301331
+0.0285725
+0.0270563
+0.0255604
+0.0240791
+0.0226657
+0.0212577
+0.0198978
+0.0185928
+0.0173368
+0.0162228
+0.0149798
+0.01392
+0.0128896
+0.0119228
+0.010954
+0.0102091
+0.00947526
+0.00830356
+0.00741734
+0.00679652
+0.00643535
+0.00539823
+0.00445946
+0.00365038
+0.00307431
+0.00280281
+0.00278541
+0.00303203
+0.00366748
+0.0038787
+0.00392986
+0.00455542
+0.00496497
+0.00503
+0.00538014
+0.00590839
+0.00669583
+0.00751921
+0.00792434
+0.00848465
+0.00947953
+0.0107807
+0.0120303
+0.0134666
+0.0150847
+0.0168329
+0.0186747
+0.0205849
+0.022495
+0.0243181
+0.0244973
+0.0225675
+0.0206898
+0.0188797
+0.0170575
+0.0151131
+0.0131141
+0.0111774
+0.00933692
+0.00748368
+0.00558584
+0.00381491
+0.00239702
+0.00158909
+0.0019395
+0.00154787
+0.0015251
+0.00198376
+0.00258463
+0.00357813
+0.00431523
+0.00516822
+0.00645408
+0.00702692
+0.00777819
+0.00888341
+0.0101731
+0.0115844
+0.0131237
+0.0146785
+0.0162538
+0.0179316
+0.0196233
+0.0213665
+0.0230811
+0.0248568
+0.0265679
+0.0283106
+0.0301056
+0.0319177
+0.0337747
+0.0410559
+0.0393953
+0.0377516
+0.0361543
+0.0345989
+0.0330264
+0.0314908
+0.0299862
+0.0285608
+0.0271658
+0.025664
+0.02411
+0.0225906
+0.0211367
+0.0197669
+0.0184171
+0.0171098
+0.0157703
+0.0145412
+0.0134381
+0.0123201
+0.0114197
+0.0104636
+0.00955265
+0.00869693
+0.0079212
+0.00675668
+0.00587427
+0.00541442
+0.00483886
+0.00373341
+0.00284779
+0.00206591
+0.00150123
+0.0013444
+0.00148433
+0.0019362
+0.0026642
+0.00236851
+0.00267104
+0.00374287
+0.00387612
+0.00393815
+0.00437737
+0.00496224
+0.00576052
+0.00649431
+0.00707368
+0.00766297
+0.00846514
+0.00963928
+0.0109878
+0.0125433
+0.0142665
+0.0160545
+0.017886
+0.0197237
+0.0215495
+0.0233367
+0.0234089
+0.0215541
+0.0196276
+0.0177092
+0.0158616
+0.0141091
+0.0122259
+0.0103065
+0.00830918
+0.0064183
+0.00469929
+0.00318555
+0.00163772
+0.000941835
+0.000701278
+0.000299922
+0.000302377
+0.000764602
+0.00149996
+0.00252902
+0.00311309
+0.00382939
+0.00520406
+0.00574209
+0.00645354
+0.00759193
+0.00889126
+0.0103475
+0.0119007
+0.0134273
+0.0149957
+0.0166833
+0.0184059
+0.0201318
+0.021928
+0.0237767
+0.0255733
+0.0273491
+0.029168
+0.0310349
+0.0329417
+0.039741
+0.038042
+0.0363758
+0.0347459
+0.0331485
+0.0315876
+0.0300136
+0.0284795
+0.026997
+0.0255928
+0.0241482
+0.0226924
+0.0211546
+0.0196605
+0.0182458
+0.0169388
+0.0155928
+0.0142423
+0.0130015
+0.0118306
+0.0107954
+0.00988822
+0.00900219
+0.00805011
+0.00728401
+0.00625852
+0.00520086
+0.00441285
+0.00407426
+0.00323345
+0.0022033
+0.00126001
+0.000536859
+9.68123e-05
+1.44302e-05
+0.000200583
+0.000714737
+0.00184508
+0.0012786
+0.00194357
+0.00276675
+0.0026718
+0.00283034
+0.00328583
+0.00398409
+0.00477365
+0.00545607
+0.00600541
+0.00646613
+0.00740491
+0.0087149
+0.0101619
+0.0116902
+0.0134025
+0.0152027
+0.0169892
+0.0187252
+0.0205172
+0.0223714
+0.0223936
+0.0204469
+0.0185547
+0.0167258
+0.0147771
+0.0128815
+0.011095
+0.00923038
+0.00739251
+0.00554083
+0.00369342
+0.00202183
+0.000915776
+0.000137671
+-0.000636975
+-0.000913444
+-0.000781954
+-0.000419393
+0.000434547
+0.00158388
+0.00173375
+0.00267494
+0.00402187
+0.00453997
+0.0052245
+0.00640061
+0.00766778
+0.00915615
+0.0105743
+0.0121157
+0.0137683
+0.015475
+0.0172196
+0.019029
+0.0208437
+0.0227082
+0.0245957
+0.0264953
+0.0283689
+0.0302748
+0.0321982
+0.0382885
+0.0366916
+0.0350429
+0.0333707
+0.0317579
+0.0301614
+0.028594
+0.0270022
+0.0254876
+0.02403
+0.0225791
+0.0211538
+0.0197442
+0.0182378
+0.0167908
+0.0154276
+0.0141047
+0.0127798
+0.0114929
+0.0102682
+0.00921374
+0.00828819
+0.00744168
+0.00656033
+0.00589707
+0.00462376
+0.003619
+0.00293814
+0.00283902
+0.00168137
+0.000653226
+-0.000184162
+-0.000912271
+-0.00123737
+-0.00130857
+-0.000961322
+-0.000145302
+0.0011509
+0.000665869
+0.0013427
+0.00154369
+0.00154347
+0.00174691
+0.00219091
+0.00303642
+0.00377131
+0.00450168
+0.00512302
+0.00561412
+0.0065573
+0.00787887
+0.00923621
+0.010775
+0.0125013
+0.0142559
+0.0159885
+0.0177907
+0.0196579
+0.021586
+0.0215273
+0.0195106
+0.0175319
+0.0155938
+0.0137319
+0.011902
+0.00997358
+0.00813871
+0.0062394
+0.00439594
+0.00269752
+0.00123928
+-0.000222974
+-0.0010713
+-0.00114854
+0.000190103
+0.000419685
+1.36819e-05
+-0.000584365
+0.000696483
+0.000505074
+0.00145547
+0.0028667
+0.00342524
+0.00406917
+0.00517145
+0.00640429
+0.00782556
+0.00928339
+0.0108968
+0.0126243
+0.0143358
+0.0161115
+0.0179202
+0.0197829
+0.021701
+0.0236332
+0.0255862
+0.0275049
+0.0294233
+0.0312489
+0.0368333
+0.0352328
+0.0336511
+0.0320412
+0.0303844
+0.0287751
+0.0271902
+0.0256122
+0.0240128
+0.0225131
+0.0210072
+0.0195775
+0.0181864
+0.0168323
+0.0153921
+0.013993
+0.0126166
+0.0113587
+0.00997167
+0.00866793
+0.00754138
+0.00669383
+0.00593785
+0.00516615
+0.00442106
+0.00300191
+0.00199401
+0.00171708
+0.00129594
+0.000200718
+-0.000802278
+-0.00111613
+-0.000792643
+-0.000510886
+-0.000852058
+-0.000810889
+-0.000835514
+-8.11115e-05
+-9.22548e-05
+0.000843507
+0.000433707
+0.00046172
+0.00070917
+0.00118787
+0.00207985
+0.00281456
+0.0035862
+0.00419907
+0.00450377
+0.00561491
+0.00680899
+0.00823459
+0.0099298
+0.0117059
+0.0133953
+0.0152026
+0.0170277
+0.0188181
+0.0206855
+0.020562
+0.0186091
+0.0166986
+0.0146718
+0.0126979
+0.010782
+0.00899147
+0.0071134
+0.00520191
+0.00339349
+0.0013604
+0.00018408
+-0.00127115
+-0.0021004
+-0.0014171
+0.000390144
+0.00161432
+0.000601784
+-0.0014078
+-0.000332887
+-0.000575859
+0.000323042
+0.00174339
+0.00216488
+0.00288885
+0.00390242
+0.00514066
+0.006517
+0.00802653
+0.00973318
+0.0114301
+0.0132135
+0.0150257
+0.0169017
+0.0188086
+0.0207525
+0.0227042
+0.0246083
+0.026545
+0.0284403
+0.0302657
+0.0354118
+0.0337746
+0.0321852
+0.030611
+0.0290412
+0.0274228
+0.0257841
+0.02419
+0.0226442
+0.0210549
+0.0195261
+0.01801
+0.0166113
+0.0152704
+0.0139985
+0.0126307
+0.0112196
+0.00994247
+0.00855292
+0.00711148
+0.00595619
+0.00516345
+0.00440228
+0.00366803
+0.00292712
+0.00146549
+0.000536628
+0.000749865
+-0.000223971
+-0.000754606
+5.90459e-05
+0.000486984
+0.000647676
+0.000598664
+0.000364956
+9.42913e-05
+-0.000273181
+-0.00126844
+-0.000790024
+-0.000391704
+-0.000623239
+-0.000726176
+-0.000415801
+0.000324093
+0.00122521
+0.00196469
+0.00274729
+0.00362597
+0.00366903
+0.00461186
+0.00605863
+0.00761901
+0.00916446
+0.0108973
+0.0126057
+0.014303
+0.0161172
+0.0179985
+0.0199428
+0.0197511
+0.0177275
+0.0157279
+0.0137864
+0.0119264
+0.00989199
+0.00794102
+0.00609642
+0.00437811
+0.00229939
+0.000618474
+-0.000932797
+-0.00223372
+-0.00217043
+-0.000418205
+0.00140627
+0.00259148
+0.000403775
+-0.00178438
+-0.00126895
+-0.00138392
+-0.000293371
+0.000607186
+0.000869923
+0.00161779
+0.00267224
+0.00389496
+0.00529617
+0.00691031
+0.00859122
+0.0103689
+0.0121695
+0.0140353
+0.0159585
+0.0179403
+0.0198328
+0.0217535
+0.0236978
+0.025644
+0.0274452
+0.029275
+0.0340406
+0.0323667
+0.0307238
+0.0291481
+0.0275747
+0.0260485
+0.0244438
+0.0227956
+0.0212129
+0.0196775
+0.018095
+0.0165266
+0.0150538
+0.0137036
+0.0124353
+0.0112761
+0.00996068
+0.00866879
+0.00716439
+0.00568617
+0.00446706
+0.00358992
+0.00283805
+0.00212086
+0.00140552
+-4.97336e-05
+-0.000438384
+-0.000637615
+-0.000915215
+0.000713346
+0.0015464
+0.00195536
+0.0019105
+0.00178318
+0.00157529
+0.00130712
+6.55749e-05
+-0.00201811
+-0.000385249
+0.000347671
+0.000415313
+2.43524e-05
+-0.000792844
+-0.000548455
+0.000404838
+0.00111193
+0.00192284
+0.00282586
+0.00295291
+0.00409378
+0.00555735
+0.00697202
+0.00862668
+0.0101036
+0.0117613
+0.0135646
+0.0154277
+0.0171942
+0.0190482
+0.0189298
+0.0169483
+0.0149967
+0.0129472
+0.0109512
+0.00904572
+0.00730204
+0.00526556
+0.00330596
+0.00176411
+0.000271528
+-0.00145284
+-0.00300818
+-0.00159625
+-5.69374e-05
+0.00212786
+0.00276202
+0.000643888
+-0.00139466
+-0.00200677
+-0.00200929
+-0.000564636
+-0.000554715
+-0.000435348
+0.000356989
+0.00150208
+0.00277241
+0.00425472
+0.00584314
+0.00762166
+0.00937801
+0.0112549
+0.0132158
+0.0150935
+0.0170198
+0.018912
+0.0208627
+0.0228569
+0.0246456
+0.0264448
+0.0282354
+0.0326779
+0.0309835
+0.0293262
+0.027682
+0.0261125
+0.0245538
+0.0230175
+0.0214569
+0.0198241
+0.018276
+0.0166991
+0.0151168
+0.0135715
+0.0121669
+0.0108995
+0.00975913
+0.00865807
+0.00719642
+0.00570366
+0.00434364
+0.00310356
+0.00202287
+0.00122136
+0.000673046
+-0.000218578
+-0.000802385
+-0.00133012
+-0.00155896
+0.00033421
+0.00211425
+0.00290188
+0.00320003
+0.00313698
+0.00281166
+0.00257835
+0.0016617
+-0.00040313
+-0.00115692
+0.000620972
+0.00147948
+0.00134871
+0.000870407
+3.4506e-05
+-0.000809003
+-0.000530439
+0.000153422
+0.000970898
+0.0019568
+0.00314504
+0.00386308
+0.00523688
+0.00659569
+0.00796208
+0.0095448
+0.0111818
+0.0128112
+0.0145665
+0.0163651
+0.0181271
+0.0182871
+0.0162484
+0.0142549
+0.0123139
+0.0102848
+0.00823811
+0.00628918
+0.00456067
+0.002879
+0.00100611
+-0.000520902
+-0.00214189
+-0.00233608
+-0.000608933
+0.00141419
+0.00286146
+0.00318446
+0.00115066
+-0.000670339
+-0.00168079
+-0.00178782
+4.08371e-05
+-0.000126502
+-0.00107309
+-0.000804752
+0.000322946
+0.00168711
+0.00322184
+0.0048565
+0.00667135
+0.00857659
+0.0103624
+0.0122642
+0.0142033
+0.0161284
+0.0180702
+0.0200352
+0.0218602
+0.0236025
+0.0254031
+0.0272609
+0.0313825
+0.0296369
+0.0279354
+0.0262621
+0.0246457
+0.0230788
+0.0215519
+0.0200028
+0.0184403
+0.0168717
+0.0153324
+0.013732
+0.0121623
+0.0106976
+0.00936858
+0.00822408
+0.007203
+0.00570349
+0.00416669
+0.00284401
+0.00167114
+0.000562815
+-0.000264126
+-0.000700727
+-1.06289e-05
+-0.000161673
+-0.00179492
+-0.000186508
+0.0015164
+0.00331691
+0.00428443
+0.00427715
+0.00435548
+0.00410019
+0.00336845
+0.00125266
+-0.000617331
+-0.000199615
+0.00162049
+0.00254944
+0.00233135
+0.00182196
+0.00089014
+0.000165778
+-0.00062473
+-0.000945664
+-7.41994e-05
+0.00100685
+0.00238316
+0.0037914
+0.00487872
+0.00609753
+0.00755862
+0.00883009
+0.0103683
+0.0120926
+0.0138022
+0.0155459
+0.0173099
+0.0170472
+0.0157998
+0.0137414
+0.0117063
+0.00968381
+0.00774011
+0.00586244
+0.00396496
+0.00223542
+0.000454166
+-0.00109362
+-0.00291304
+-0.000917847
+0.000492588
+0.00189787
+0.00384556
+0.00373862
+0.00181249
+0.000193215
+-0.000634549
+-0.000971922
+0.000293233
+0.000922888
+4.97349e-05
+-0.000857831
+-0.000764262
+0.000582407
+0.00217239
+0.00387628
+0.00570371
+0.00752922
+0.00949232
+0.0113978
+0.0132795
+0.0152324
+0.0172346
+0.0190729
+0.0208053
+0.0226164
+0.0244614
+0.026329
+0.0301532
+0.0283703
+0.0266074
+0.0248943
+0.0232071
+0.0215927
+0.0200362
+0.0185399
+0.017017
+0.0154555
+0.013832
+0.0123011
+0.0107819
+0.00927151
+0.00788179
+0.00666643
+0.0056068
+0.00434022
+0.00275175
+0.00140756
+0.000333879
+-0.000785517
+-0.000180005
+0.000718637
+0.00083869
+-0.000626538
+-0.000597385
+0.000967308
+0.00271696
+0.00457785
+0.00554397
+0.00541781
+0.00548363
+0.00517364
+0.00311261
+0.00128114
+0.000219863
+0.000753843
+0.0024259
+0.00355117
+0.00321234
+0.00249366
+0.00171345
+0.00108324
+0.00031893
+-0.000497257
+-0.00112793
+-2.6408e-05
+0.00143347
+0.00294501
+0.00443654
+0.00542597
+0.00689054
+0.00830103
+0.00987328
+0.0114342
+0.0131424
+0.0149632
+0.0151616
+0.0148629
+0.0148677
+0.0133626
+0.0114194
+0.00934025
+0.00732638
+0.00542823
+0.00356454
+0.00180617
+-0.000240198
+-0.00190276
+-0.00207464
+-0.00044052
+0.00148368
+0.00327013
+0.00484913
+0.0043709
+0.0025776
+0.00113273
+0.000328627
+-0.00013196
+0.000798948
+0.0020172
+0.00116102
+0.000351074
+-0.000914541
+-0.00054729
+0.0011562
+0.00294832
+0.00475891
+0.00670806
+0.00856084
+0.0104952
+0.0124042
+0.0143739
+0.0163697
+0.0181063
+0.0198879
+0.0217069
+0.0235887
+0.0254335
+0.0287517
+0.027134
+0.025354
+0.0235702
+0.0218361
+0.0201652
+0.0185494
+0.0169996
+0.0155176
+0.0139994
+0.0124029
+0.0108255
+0.00931269
+0.00793856
+0.00638582
+0.00502776
+0.00392585
+0.00293982
+0.00129833
+0.000159162
+-0.00027645
+0.000540075
+0.00136399
+0.00200692
+0.000704763
+0.000159651
+0.000952679
+0.00236973
+0.0040457
+0.00572828
+0.00659007
+0.00661207
+0.00653475
+0.00508635
+0.00324959
+0.00177516
+0.0013076
+0.00192636
+0.00336813
+0.004591
+0.00417628
+0.00320483
+0.00241116
+0.00191099
+0.00127355
+0.000662915
+-0.000640177
+-0.00077079
+0.00055801
+0.00214812
+0.00381596
+0.00489929
+0.00648657
+0.00788861
+0.00935142
+0.0109877
+0.012791
+0.0137175
+0.0130275
+0.0126808
+0.0126865
+0.0124712
+0.010597
+0.0086256
+0.00678991
+0.00495269
+0.00290594
+0.00109481
+-0.000485925
+-0.00244864
+-0.00105789
+0.000742476
+0.00257821
+0.00423484
+0.00600192
+0.00510621
+0.00346451
+0.00220007
+0.00152628
+0.000945509
+0.00135133
+0.00282956
+0.00225953
+0.00148092
+0.00027311
+-0.00118584
+0.000192358
+0.00198199
+0.00384558
+0.0057846
+0.0076061
+0.00955174
+0.0115345
+0.0135814
+0.015514
+0.0172381
+0.018949
+0.0207437
+0.0226084
+0.0244978
+0.0273375
+0.0257756
+0.0240792
+0.0223477
+0.0205365
+0.018791
+0.0171237
+0.0155248
+0.0139871
+0.0125274
+0.0109581
+0.00935629
+0.00784663
+0.00642531
+0.00494648
+0.00354638
+0.0022364
+0.00138625
+-0.000138308
+0.00022671
+0.00106003
+0.00184564
+0.00271519
+0.00183703
+0.00113395
+0.00141292
+0.00249896
+0.00388746
+0.00541417
+0.00713988
+0.0077389
+0.00778494
+0.0066293
+0.00496175
+0.00353756
+0.00242161
+0.00242514
+0.00315299
+0.00443647
+0.00562367
+0.00508007
+0.00404585
+0.00321115
+0.00268857
+0.00219225
+0.00148686
+0.000203652
+-0.001153
+-8.68465e-05
+0.00144451
+0.00303878
+0.00485811
+0.00594843
+0.00747315
+0.00899585
+0.0104598
+0.011844
+0.0117207
+0.0109157
+0.0105021
+0.0105074
+0.0109319
+0.00996515
+0.00789663
+0.00587594
+0.00397829
+0.00241533
+0.000646014
+-0.00118995
+-0.00213722
+-0.000572427
+0.00140238
+0.00340901
+0.00534776
+0.0071532
+0.00596231
+0.00444737
+0.00332169
+0.00272954
+0.00212472
+0.0023401
+0.00342774
+0.00354463
+0.00263575
+0.0013976
+-0.000104333
+-0.000795441
+0.00100732
+0.0029119
+0.00478905
+0.00674895
+0.00875368
+0.0107665
+0.0128377
+0.0144808
+0.0161782
+0.0179826
+0.0197841
+0.0216023
+0.0234842
+0.0259932
+0.0243663
+0.0227988
+0.0210372
+0.0193022
+0.0175255
+0.0157653
+0.0140819
+0.0124964
+0.0109982
+0.00960592
+0.00796076
+0.00635962
+0.00494667
+0.00349692
+0.0020782
+0.000748095
+-0.000458406
+0.000560823
+0.00150775
+0.00239405
+0.00316882
+0.00302911
+0.00203984
+0.00203407
+0.00272562
+0.00384481
+0.00534579
+0.00692229
+0.00848456
+0.00897329
+0.00843674
+0.00662647
+0.0050782
+0.00387029
+0.00309581
+0.00314698
+0.00404354
+0.00537992
+0.00658248
+0.00585296
+0.0048809
+0.00406173
+0.00350928
+0.00301953
+0.00215518
+0.000887337
+-0.000440485
+-0.000842054
+0.000766363
+0.00226925
+0.0040071
+0.00561675
+0.00676855
+0.00823203
+0.00961882
+0.0110742
+0.00978992
+0.0088425
+0.00832673
+0.00833315
+0.00886242
+0.00915624
+0.00750578
+0.00553204
+0.00357001
+0.00180067
+-0.00012875
+-0.00188796
+-0.000462461
+0.000913496
+0.00247891
+0.00427211
+0.00621399
+0.00811766
+0.00687688
+0.00547968
+0.00441854
+0.00381354
+0.00306286
+0.00315489
+0.00417577
+0.00471485
+0.00377998
+0.00240664
+0.00088486
+-0.000706806
+8.32751e-05
+0.00203206
+0.00394064
+0.00595968
+0.00805883
+0.00997724
+0.0118409
+0.0135149
+0.0151879
+0.0169329
+0.0187716
+0.0206624
+0.0225919
+0.0247517
+0.0230515
+0.0213965
+0.0197676
+0.0179969
+0.0162521
+0.014551
+0.0127613
+0.011067
+0.00947231
+0.00802072
+0.00655756
+0.00495504
+0.00350554
+0.00203359
+0.000646199
+-0.000741114
+0.000596825
+0.00165608
+0.00266461
+0.00353524
+0.00442839
+0.00368359
+0.00304011
+0.0032124
+0.0039292
+0.00523749
+0.00665742
+0.00824946
+0.00988307
+0.00998728
+0.00872452
+0.00698918
+0.00549212
+0.00442875
+0.00392599
+0.00398501
+0.00474861
+0.00607757
+0.00756747
+0.00683154
+0.00586093
+0.00504896
+0.00442138
+0.00384104
+0.00280551
+0.00145643
+9.44915e-05
+-0.00161127
+-6.44401e-05
+0.00142396
+0.00305271
+0.00488063
+0.00624828
+0.00777346
+0.00913585
+0.00950132
+0.00799421
+0.00683457
+0.0061619
+0.00617057
+0.00686344
+0.00803679
+0.00673749
+0.00504584
+0.00300215
+0.00102774
+-0.00100733
+-0.000838209
+0.000915773
+0.00247656
+0.00396924
+0.00555615
+0.00729886
+0.00914061
+0.00783862
+0.0065132
+0.00553406
+0.00488648
+0.00409011
+0.00405583
+0.0048843
+0.00583412
+0.00478467
+0.00341364
+0.00193123
+0.00031084
+-0.00078658
+0.00116512
+0.00317892
+0.00516157
+0.007134
+0.00918076
+0.0108141
+0.0124328
+0.014179
+0.0159929
+0.0178407
+0.0197467
+0.0217044
+0.0235008
+0.0218171
+0.0201221
+0.0184676
+0.0167559
+0.014968
+0.013224
+0.0115363
+0.00975669
+0.00809432
+0.00650806
+0.00515375
+0.00355809
+0.00209131
+0.000520106
+-0.00084798
+0.000355513
+0.00182706
+0.00272852
+0.00381328
+0.0047259
+0.00472674
+0.00415933
+0.00417558
+0.00474536
+0.00545743
+0.00657828
+0.00802087
+0.00961733
+0.0109076
+0.010832
+0.00914653
+0.00750878
+0.00610187
+0.00522606
+0.00509395
+0.00533051
+0.00596125
+0.00711397
+0.00851794
+0.00781336
+0.00694289
+0.00615806
+0.00542852
+0.00465645
+0.00341214
+0.00203426
+0.000580342
+-0.00105343
+-0.000774428
+0.000679055
+0.00224139
+0.00397875
+0.00564023
+0.00721296
+0.00831589
+0.00816423
+0.00641454
+0.00493707
+0.00402516
+0.00403842
+0.00497626
+0.00649312
+0.0064483
+0.00432371
+0.00221022
+0.000144789
+-0.00183352
+-3.49527e-05
+0.00187914
+0.00366857
+0.00519261
+0.00683937
+0.00864328
+0.0102561
+0.00873711
+0.0074526
+0.006455
+0.00570226
+0.00503764
+0.00502888
+0.00555974
+0.00653659
+0.00577265
+0.00392667
+0.00181214
+-3.99477e-05
+-0.0015171
+0.000435419
+0.00239463
+0.00440379
+0.00650364
+0.00829906
+0.00978358
+0.0113907
+0.0131673
+0.0150473
+0.0169184
+0.0188441
+0.0208169
+0.0222837
+0.0205213
+0.018826
+0.0171879
+0.015604
+0.0137825
+0.0119656
+0.0102379
+0.00850283
+0.00679025
+0.00510369
+0.003629
+0.00218317
+0.000696094
+-0.000831438
+0.000344811
+0.00173712
+0.00295306
+0.00399804
+0.00497822
+0.00595503
+0.00539468
+0.00500072
+0.00511984
+0.00595102
+0.00719565
+0.00816985
+0.00942416
+0.010927
+0.0119563
+0.0108931
+0.0093459
+0.00800605
+0.00693264
+0.00617544
+0.00603863
+0.0065141
+0.00741203
+0.00848037
+0.00972732
+0.00874587
+0.00791902
+0.00726071
+0.00649385
+0.00547004
+0.00413368
+0.00278023
+0.001343
+-0.000205271
+-0.00167339
+-0.000109632
+0.00152135
+0.00308587
+0.00485631
+0.00657089
+0.00794349
+0.00718442
+0.00520808
+0.00334838
+0.00200268
+0.00202796
+0.0034236
+0.00530456
+0.00627469
+0.00411214
+0.00198689
+-8.23669e-05
+-0.000227422
+0.00112441
+0.0028879
+0.00473339
+0.0063348
+0.00801959
+0.00965936
+0.0109529
+0.00948505
+0.00828477
+0.00733544
+0.00643636
+0.00584864
+0.00583934
+0.00625648
+0.0071542
+0.00591511
+0.00378466
+0.00166644
+-0.000345152
+-0.00159406
+-0.000329336
+0.0017004
+0.00377094
+0.00582725
+0.0071235
+0.00870918
+0.0103923
+0.0121824
+0.0140743
+0.0160274
+0.0180262
+0.0200365
+0.0211122
+0.0192848
+0.0175378
+0.0158389
+0.0142451
+0.0127021
+0.0108458
+0.00898884
+0.00721667
+0.00547811
+0.00373252
+0.00219542
+0.000808842
+-0.000723242
+0.000156335
+0.0016843
+0.00306142
+0.00417198
+0.00519837
+0.00628796
+0.00642896
+0.00596237
+0.0059212
+0.0063278
+0.00717225
+0.00837182
+0.00983745
+0.0110333
+0.0123604
+0.0124187
+0.0108232
+0.00943412
+0.00824672
+0.00731033
+0.00667487
+0.00664987
+0.00714065
+0.00804423
+0.00926918
+0.0104751
+0.00965635
+0.00894026
+0.00834117
+0.00744663
+0.00634615
+0.00495616
+0.00362394
+0.00229093
+0.000835263
+-0.000769121
+-0.00068285
+0.000974084
+0.00250444
+0.00428382
+0.0059751
+0.00775281
+0.006639
+0.00450806
+0.00242374
+0.000517612
+0.000385849
+0.00236018
+0.00444138
+0.00656462
+0.00469536
+0.00289656
+0.00164854
+0.00178111
+0.00278811
+0.00420048
+0.00584648
+0.00745195
+0.00904103
+0.0107173
+0.0117755
+0.0104238
+0.00925825
+0.00835528
+0.00749214
+0.00688662
+0.00677207
+0.00720437
+0.00808577
+0.00592544
+0.00379585
+0.00169371
+-0.000303161
+-0.00181625
+-0.000960405
+0.00101367
+0.0030549
+0.00479239
+0.00606151
+0.00764372
+0.00942639
+0.0113314
+0.0132695
+0.0152371
+0.017255
+0.0193106
+0.0200671
+0.0181757
+0.016323
+0.0145539
+0.0128885
+0.0113329
+0.00973613
+0.00789748
+0.00608148
+0.00427209
+0.00245778
+0.000759855
+-0.00067385
+3.47874e-05
+0.00152609
+0.00307278
+0.00450981
+0.00553041
+0.00646458
+0.0075469
+0.00701576
+0.00694111
+0.0070399
+0.00752192
+0.00842134
+0.00962499
+0.0110585
+0.0125874
+0.0139702
+0.0124558
+0.0109304
+0.00960427
+0.00851871
+0.00771293
+0.00726035
+0.0073647
+0.00793472
+0.00891379
+0.0101376
+0.0113502
+0.010579
+0.00996344
+0.00940742
+0.00846193
+0.00728216
+0.00603457
+0.00470234
+0.00338847
+0.00207565
+0.000571433
+-0.000180798
+0.00114755
+0.00270357
+0.00433952
+0.00603517
+0.00686175
+0.00555068
+0.00419838
+0.00214615
+6.0298e-05
+-0.000198786
+0.00187972
+0.00388834
+0.00498016
+0.00594513
+0.0045552
+0.00375034
+0.0038701
+0.00465438
+0.00583027
+0.00724158
+0.00886715
+0.0103315
+0.0119085
+0.0127858
+0.0115092
+0.0104145
+0.00941986
+0.00839005
+0.00780981
+0.00774766
+0.0081885
+0.00835243
+0.00617932
+0.00402529
+0.00195453
+9.22916e-05
+-0.00164471
+-0.00175673
+0.000226244
+0.00222944
+0.00364616
+0.00503303
+0.00673799
+0.00858731
+0.0105293
+0.0125395
+0.0146016
+0.0166965
+0.0188132
+0.018944
+0.0171456
+0.0152617
+0.0134084
+0.0116253
+0.00997562
+0.00851405
+0.0068236
+0.00495212
+0.00315619
+0.00136
+-0.000489877
+0.000101136
+0.00160112
+0.00300955
+0.00450306
+0.00603789
+0.00691484
+0.0078943
+0.00827029
+0.00790353
+0.0079781
+0.0081934
+0.0087848
+0.00973992
+0.0109263
+0.0122668
+0.0137948
+0.0140236
+0.0125203
+0.0111817
+0.00992727
+0.00893827
+0.00834847
+0.00810865
+0.00819571
+0.00874651
+0.00970908
+0.0109868
+0.0122947
+0.0115772
+0.0110878
+0.010435
+0.00951306
+0.0082125
+0.0071224
+0.00603256
+0.00467139
+0.00353137
+0.0023231
+0.00195747
+0.00253681
+0.00377392
+0.00514344
+0.00668409
+0.00550388
+0.0037844
+0.00259703
+0.00146224
+-0.000595708
+-0.000775875
+0.000864966
+0.00210592
+0.00312889
+0.00468892
+0.00562181
+0.0059023
+0.00600788
+0.00664462
+0.00763334
+0.00885028
+0.0102965
+0.0118863
+0.0133044
+0.0133114
+0.0120515
+0.0109971
+0.0100567
+0.0092666
+0.00894656
+0.00895401
+0.00932904
+0.00874259
+0.0066973
+0.00474111
+0.00285109
+0.00106675
+-0.000454289
+-0.00108998
+-0.00044599
+0.00161398
+0.00265673
+0.00419526
+0.00600098
+0.00797502
+0.0100224
+0.0121074
+0.0142243
+0.0163606
+0.0185096
+0.0176931
+0.0159005
+0.0141644
+0.0123392
+0.0105155
+0.00876604
+0.0071629
+0.0058686
+0.00398316
+0.00212995
+0.000419201
+-0.001357
+0.000689042
+0.00287731
+0.00455075
+0.00594438
+0.00750807
+0.00844106
+0.00928386
+0.00911315
+0.00885547
+0.00897739
+0.00942189
+0.010102
+0.0110436
+0.0122489
+0.0136106
+0.0150574
+0.0141282
+0.0126591
+0.0113966
+0.0103524
+0.00954836
+0.00901389
+0.00892133
+0.00926745
+0.0097964
+0.0107163
+0.0119316
+0.0130844
+0.0124052
+0.0120384
+0.0115274
+0.0105188
+0.00928202
+0.0083126
+0.00736979
+0.00618561
+0.00522799
+0.00436912
+0.00414155
+0.00447091
+0.00539338
+0.00653022
+0.00555165
+0.00418855
+0.00259483
+0.000766285
+-0.000224159
+-0.00155882
+-0.00219996
+-0.000860825
+0.000103283
+0.00169455
+0.00327561
+0.00484974
+0.00631339
+0.00803046
+0.00866621
+0.00953358
+0.0106475
+0.011892
+0.0133664
+0.0148511
+0.0138689
+0.0126569
+0.011646
+0.0106682
+0.00992964
+0.00957852
+0.00957351
+0.00996225
+0.00957161
+0.00766137
+0.00580582
+0.0040924
+0.00260002
+0.00131985
+0.000172171
+-0.0011088
+0.000999
+0.00236617
+0.00383609
+0.00571851
+0.00776367
+0.00984738
+0.011963
+0.0141015
+0.016254
+0.0183195
+0.016591
+0.0147062
+0.0128694
+0.0111121
+0.00939013
+0.00761069
+0.00595306
+0.0045651
+0.00313723
+0.00130282
+-0.000470633
+-0.000903008
+0.000854322
+0.00290409
+0.00500724
+0.00715579
+0.00891398
+0.00993205
+0.0101019
+0.00983182
+0.0099767
+0.0101271
+0.0106006
+0.0114422
+0.0124325
+0.0135793
+0.014902
+0.0160261
+0.0144316
+0.0129968
+0.0117414
+0.0107633
+0.0100922
+0.00976343
+0.00981652
+0.0101722
+0.0108126
+0.0118009
+0.0130224
+0.0140266
+0.0134232
+0.013024
+0.0125886
+0.0117317
+0.0106639
+0.00973299
+0.00892903
+0.00790944
+0.00715738
+0.00649638
+0.00632381
+0.00654375
+0.0072363
+0.00627817
+0.00438348
+0.0025707
+0.00128782
+-0.00026551
+-0.00168382
+-0.00291216
+-0.0036138
+-0.00224226
+-0.000634346
+0.00060692
+0.00223967
+0.00394885
+0.00559699
+0.00746863
+0.00946542
+0.0112469
+0.0125124
+0.0136255
+0.0149334
+0.015865
+0.0145501
+0.0133723
+0.0123903
+0.0114107
+0.0107522
+0.0103021
+0.0102551
+0.0106003
+0.0106306
+0.00883946
+0.00715196
+0.00564384
+0.00407101
+0.00223549
+0.000775916
+-0.000854183
+0.000426131
+0.00193572
+0.00362212
+0.00552716
+0.00746049
+0.00950348
+0.0115796
+0.0136666
+0.0157426
+0.0177052
+0.0156386
+0.0136568
+0.0117414
+0.00985502
+0.00805952
+0.00634149
+0.00468164
+0.00319122
+0.00208984
+0.000617614
+-0.000726331
+8.5586e-05
+0.00169277
+0.00352026
+0.00547454
+0.00755139
+0.00966289
+0.0111403
+0.0107097
+0.0106405
+0.010884
+0.0114625
+0.0119234
+0.0127064
+0.0137568
+0.014981
+0.0162947
+0.0164409
+0.0148697
+0.0134635
+0.0122535
+0.0113197
+0.0106836
+0.0104597
+0.010607
+0.0110816
+0.0117559
+0.012675
+0.0138364
+0.0151384
+0.0146529
+0.0142757
+0.013882
+0.0131315
+0.0121652
+0.0113461
+0.01066
+0.0097907
+0.00918778
+0.00865019
+0.00850988
+0.0086747
+0.00797419
+0.00584509
+0.00372103
+0.00173115
+-0.000356011
+-0.00167009
+-0.00291584
+-0.00457315
+-0.00504637
+-0.00343403
+-0.00208472
+-0.000651025
+0.00123508
+0.00297521
+0.00492923
+0.00699476
+0.0091189
+0.0110481
+0.0129952
+0.0148718
+0.0166384
+0.0165955
+0.0153403
+0.0142119
+0.0132522
+0.0121981
+0.0114292
+0.0110234
+0.0109734
+0.0112782
+0.0118953
+0.0102233
+0.00836012
+0.00635644
+0.00444963
+0.00279786
+0.00121323
+-0.000425614
+-0.000194351
+0.00107648
+0.00280433
+0.00478601
+0.00678501
+0.0088707
+0.0109659
+0.0130396
+0.0150273
+0.0169447
+0.0149201
+0.0128521
+0.0108058
+0.00879647
+0.00689518
+0.00504508
+0.00334883
+0.00177159
+0.00050985
+-0.000294475
+-0.000284535
+0.00117334
+0.00279649
+0.00452845
+0.00636222
+0.00830574
+0.0102917
+0.0118633
+0.0115057
+0.0114875
+0.0118142
+0.0124416
+0.0133203
+0.0141338
+0.0150957
+0.0162871
+0.0176504
+0.0169808
+0.0154735
+0.0141062
+0.0129354
+0.0120402
+0.0114274
+0.0111826
+0.0113168
+0.0118249
+0.012663
+0.0136047
+0.01474
+0.0160948
+0.0160477
+0.0157017
+0.0153325
+0.0147067
+0.013844
+0.0130873
+0.0125109
+0.0117779
+0.0110682
+0.0100323
+0.00905493
+0.00843953
+0.00757272
+0.00539427
+0.0032324
+0.00113466
+-0.000834716
+-0.00298262
+-0.00472243
+-0.005936
+-0.0063883
+-0.00513741
+-0.00317448
+-0.00111294
+0.000880079
+0.00284435
+0.00485886
+0.00684074
+0.00880711
+0.0107217
+0.0126954
+0.0146815
+0.0166535
+0.017402
+0.0162123
+0.0150886
+0.0139021
+0.0129359
+0.0122301
+0.0117902
+0.0116835
+0.0119083
+0.0124925
+0.0108441
+0.00888398
+0.0069609
+0.00511953
+0.00298137
+0.00101065
+-0.000459774
+-0.000963535
+0.000265457
+0.00204248
+0.00407892
+0.00613741
+0.00822137
+0.0103284
+0.0123442
+0.0143082
+0.0162342
+0.0143983
+0.0123236
+0.0101999
+0.00811194
+0.0060077
+0.00398302
+0.00210204
+0.000393198
+-0.00105376
+-0.00159832
+0.000221997
+0.00193961
+0.00393039
+0.00572768
+0.00751165
+0.00929787
+0.0111669
+0.0127646
+0.012597
+0.0125552
+0.0128533
+0.0134491
+0.0143266
+0.0154355
+0.0166069
+0.0177014
+0.0189814
+0.0175803
+0.0162715
+0.0149745
+0.0138727
+0.0129903
+0.0124244
+0.0121807
+0.012306
+0.0127908
+0.013552
+0.0144856
+0.0156191
+0.0169034
+0.0175833
+0.0172884
+0.0169325
+0.0163909
+0.0156215
+0.0141295
+0.0125088
+0.0109552
+0.00961484
+0.00862602
+0.00753984
+0.00674543
+0.00616834
+0.00546415
+0.0033488
+0.00119813
+-0.000978994
+-0.0028783
+-0.00495103
+-0.00709204
+-0.00711886
+-0.0050162
+-0.00293107
+-0.000810422
+0.00126807
+0.00317676
+0.00493866
+0.00673117
+0.008701
+0.0104849
+0.0123999
+0.0143882
+0.0163196
+0.018191
+0.0169263
+0.015592
+0.0144285
+0.0134958
+0.0128219
+0.012477
+0.0123741
+0.0126433
+0.0132011
+0.0114814
+0.00945937
+0.00727766
+0.00510363
+0.00295225
+0.000812068
+-0.00077138
+-0.00180583
+-0.000643091
+0.00132801
+0.00348352
+0.00565455
+0.00783295
+0.00978403
+0.01169
+0.0136593
+0.0155515
+0.0135691
+0.0115514
+0.00951576
+0.00753637
+0.00544774
+0.00331116
+0.00120902
+-0.000758497
+-0.00228639
+-0.000971845
+0.000860561
+0.00251382
+0.00442373
+0.00649302
+0.00854858
+0.0105173
+0.0122587
+0.0137848
+0.0137113
+0.0138245
+0.0141084
+0.0146565
+0.0154946
+0.0165361
+0.0177776
+0.0191639
+0.0188304
+0.0173668
+0.0160693
+0.0149604
+0.0140631
+0.0134657
+0.013209
+0.0132502
+0.0135262
+0.0139688
+0.0146421
+0.0155141
+0.0166044
+0.0178701
+0.0192461
+0.018981
+0.0179344
+0.0161887
+0.0145637
+0.0128913
+0.0112382
+0.00979835
+0.00842519
+0.00727407
+0.00603073
+0.00525716
+0.00462483
+0.00417427
+0.00375214
+0.00176388
+-0.000399615
+-0.00256727
+-0.00475285
+-0.00694166
+-0.00755937
+-0.00558452
+-0.00353361
+-0.001573
+0.000227399
+0.00198141
+0.0038218
+0.00580669
+0.00769149
+0.00959038
+0.0115301
+0.0134006
+0.0152983
+0.0172352
+0.0174117
+0.0161176
+0.0150112
+0.0141462
+0.0135267
+0.0132009
+0.013176
+0.013479
+0.0140586
+0.0118833
+0.00971498
+0.00755957
+0.00542238
+0.00331045
+0.00117519
+-0.000723694
+-0.00222188
+-0.00115652
+0.000989674
+0.00315799
+0.0053361
+0.00737934
+0.00915336
+0.0110041
+0.0129557
+0.0149412
+0.0128952
+0.0107973
+0.00873867
+0.00671871
+0.00466093
+0.00264905
+0.000667028
+-0.00145929
+-0.0019355
+9.48945e-05
+0.00158245
+0.00344875
+0.00515148
+0.00706386
+0.00905214
+0.0111161
+0.0132208
+0.0150567
+0.0149781
+0.0151691
+0.0154972
+0.0160186
+0.0167881
+0.0177953
+0.0189547
+0.0202852
+0.0188768
+0.017417
+0.0161236
+0.0150033
+0.0141087
+0.0135134
+0.0132266
+0.0132605
+0.0136505
+0.0143261
+0.0152581
+0.0164189
+0.0177188
+0.0189589
+0.0203182
+0.018863
+0.0169306
+0.015069
+0.013308
+0.0116931
+0.0100941
+0.00848104
+0.00709697
+0.00597108
+0.00481112
+0.0039422
+0.00335177
+0.00286348
+0.00280104
+0.00112631
+-0.000808739
+-0.00288107
+-0.00502467
+-0.00717791
+-0.00840005
+-0.0064475
+-0.00455812
+-0.00276896
+-0.000914887
+0.000960418
+0.00284848
+0.00472695
+0.00664632
+0.00860702
+0.0105303
+0.0124339
+0.0142663
+0.0161016
+0.0177863
+0.0168736
+0.0158407
+0.0150065
+0.014448
+0.0141608
+0.0141692
+0.0144706
+0.0144488
+0.0123256
+0.010231
+0.00814908
+0.00599657
+0.00387231
+0.00182595
+5.39853e-05
+-0.0015366
+-0.00130693
+0.00083092
+0.00280701
+0.00471602
+0.00666866
+0.00841638
+0.0103257
+0.0123098
+0.0142968
+0.0123638
+0.0102782
+0.00822933
+0.00609354
+0.00398468
+0.00196658
+1.58279e-05
+-0.00123143
+-0.000428742
+0.000767284
+0.00237785
+0.00427276
+0.00629119
+0.00809446
+0.00993279
+0.0118687
+0.0138578
+0.0158998
+0.0164161
+0.0165906
+0.0169894
+0.0174976
+0.0182106
+0.0191434
+0.020271
+0.0207071
+0.0191365
+0.0176982
+0.0164269
+0.0153288
+0.0144544
+0.0138738
+0.0135946
+0.0136276
+0.0140074
+0.0146582
+0.0155783
+0.0167288
+0.0180679
+0.0195258
+0.0200788
+0.0181097
+0.016163
+0.0142011
+0.0123166
+0.0105511
+0.00885087
+0.00721746
+0.00592238
+0.004566
+0.00339576
+0.00259731
+0.00228399
+0.00201437
+0.00175214
+0.000154583
+-0.00195119
+-0.00368209
+-0.0056497
+-0.0077272
+-0.00933363
+-0.0074828
+-0.00572136
+-0.00386004
+-0.00195187
+-0.000137934
+0.00177227
+0.00372833
+0.00568391
+0.00761737
+0.00948007
+0.0113666
+0.0131626
+0.0150477
+0.0168932
+0.0178528
+0.0168799
+0.0160996
+0.0155804
+0.0153317
+0.015361
+0.0156552
+0.0150182
+0.0128766
+0.0107491
+0.00864683
+0.00660107
+0.00461805
+0.00277873
+0.000838077
+-0.00075028
+-0.000812948
+0.000346476
+0.00222614
+0.00403789
+0.00588103
+0.00788491
+0.00980511
+0.0117418
+0.0136592
+0.0119746
+0.00984754
+0.007756
+0.00570797
+0.00364261
+0.00172716
+0.000189965
+0.0001288
+0.00109985
+0.00230328
+0.00379132
+0.00543122
+0.0072131
+0.00913718
+0.0111037
+0.0129011
+0.0147908
+0.0167193
+0.0177061
+0.0181461
+0.0185198
+0.0190741
+0.0197502
+0.0206135
+0.0216647
+0.021172
+0.0196386
+0.01824
+0.017005
+0.0159226
+0.0150827
+0.0145229
+0.0142627
+0.0142964
+0.0146513
+0.0152889
+0.0161736
+0.0172922
+0.0186025
+0.0200604
+0.0192198
+0.0172995
+0.0153637
+0.0134247
+0.011573
+0.00967483
+0.00792332
+0.00616253
+0.00460694
+0.00350503
+0.00236626
+0.00161877
+0.00109843
+0.000594751
+0.00103427
+0.000247941
+-0.00187127
+-0.00404133
+-0.0062241
+-0.00841099
+-0.0104793
+-0.00869336
+-0.00683129
+-0.00496618
+-0.00307343
+-0.00109472
+0.000977621
+0.00278447
+0.00480384
+0.00662295
+0.00849472
+0.0103171
+0.0122474
+0.0142096
+0.0161727
+0.017291
+0.0172609
+0.0166572
+0.0162866
+0.01619
+0.0163883
+0.0168346
+0.0155466
+0.0134799
+0.0114594
+0.00945539
+0.00754443
+0.00553686
+0.00356269
+0.0016673
+7.11344e-05
+-0.000193186
+-0.000317185
+0.00155084
+0.00323448
+0.0051483
+0.00721538
+0.00923138
+0.0111544
+0.0131368
+0.0117458
+0.00965762
+0.00759338
+0.00553609
+0.00355044
+0.00184042
+0.000951835
+0.00143446
+0.00248293
+0.00380039
+0.00527736
+0.00683425
+0.00851577
+0.010239
+0.0120848
+0.0140077
+0.0159189
+0.017758
+0.0187804
+0.0193829
+0.0201523
+0.0206726
+0.0213703
+0.0222028
+0.023182
+0.0218477
+0.0203653
+0.0190201
+0.0177982
+0.0167671
+0.0159716
+0.0154313
+0.0151865
+0.0152161
+0.0155522
+0.0161741
+0.0170315
+0.0180971
+0.019353
+0.0204643
+0.0184136
+0.0163993
+0.0144341
+0.0125221
+0.0106245
+0.00870229
+0.00693862
+0.00523434
+0.00368865
+0.00250522
+0.00128415
+0.000449776
+-0.000241356
+-0.000232813
+0.000645213
+-3.83945e-05
+-0.00214451
+-0.00425484
+-0.00637575
+-0.00852925
+-0.0106978
+-0.00971688
+-0.00765131
+-0.00567697
+-0.00370826
+-0.00161636
+0.000178479
+0.00219973
+0.00386989
+0.00575508
+0.00764981
+0.00950539
+0.0114373
+0.0134483
+0.0154194
+0.0166055
+0.0176679
+0.0170786
+0.0167318
+0.0166378
+0.0168308
+0.0172971
+0.0163228
+0.0143232
+0.0123203
+0.0102603
+0.00826649
+0.00627755
+0.00421212
+0.00221753
+0.000714578
+0.000426145
+-0.00073699
+0.000893361
+0.00279203
+0.00481243
+0.00686063
+0.00878403
+0.010787
+0.0128264
+0.0115892
+0.00952853
+0.00750723
+0.00558183
+0.00381953
+0.00246527
+0.00202254
+0.00269067
+0.00381655
+0.0051386
+0.00671132
+0.00830016
+0.0099096
+0.0116061
+0.0132981
+0.0150903
+0.0169627
+0.0188833
+0.0200164
+0.0205919
+0.021359
+0.0223129
+0.0230145
+0.023838
+0.0242388
+0.0227011
+0.021278
+0.0199715
+0.0188048
+0.017832
+0.0170861
+0.0165812
+0.0163514
+0.0163789
+0.0166937
+0.0172746
+0.0181036
+0.0191194
+0.0203122
+0.0199511
+0.0178416
+0.0157542
+0.0136968
+0.0116715
+0.0097165
+0.0078342
+0.00594528
+0.0042994
+0.00267611
+0.0013723
+0.000390935
+-0.000406341
+-0.00117207
+-0.000470517
+-0.000131177
+-7.6759e-05
+-0.00201188
+-0.00412341
+-0.00627956
+-0.00845315
+-0.0106338
+-0.0101261
+-0.0081351
+-0.00617268
+-0.00417139
+-0.00240915
+-0.000681173
+0.00125351
+0.00314994
+0.00504207
+0.00687666
+0.00885468
+0.0107402
+0.0127058
+0.0144783
+0.0153986
+0.0165492
+0.0177145
+0.0173757
+0.0172851
+0.017471
+0.0179207
+0.0170508
+0.0149959
+0.0129251
+0.0108028
+0.00869667
+0.00662383
+0.00461356
+0.00277841
+0.00142138
+0.000992881
+0.000764803
+0.00158754
+0.00320334
+0.00510591
+0.00697436
+0.00887119
+0.0108279
+0.0128441
+0.0116714
+0.00963179
+0.00767587
+0.00587324
+0.00433649
+0.0033411
+0.00317083
+0.00392014
+0.00516697
+0.00650819
+0.00802468
+0.00968337
+0.0113411
+0.0129958
+0.014689
+0.0163698
+0.0181258
+0.0199546
+0.0214057
+0.0219449
+0.0226771
+0.0235778
+0.0246408
+0.0255113
+0.025178
+0.0237013
+0.022342
+0.0211014
+0.0200007
+0.0190889
+0.0183941
+0.017926
+0.0177118
+0.0177371
+0.0180302
+0.0185693
+0.0193429
+0.0202975
+0.0214247
+0.0196699
+0.0175265
+0.0153965
+0.0132838
+0.011184
+0.00912514
+0.00714512
+0.00512119
+0.00315613
+0.00173704
+0.00017328
+-0.00052563
+-0.00160767
+-0.00154913
+-0.00113116
+-0.000262364
+-2.55414e-05
+-0.00217922
+-0.00432603
+-0.00649645
+-0.00838458
+-0.0102305
+-0.0109198
+-0.00892279
+-0.00701795
+-0.00532406
+-0.00356812
+-0.00158949
+0.000238817
+0.00217834
+0.00424388
+0.0062855
+0.00822339
+0.0101161
+0.0120886
+0.0134132
+0.0144017
+0.0156259
+0.0170259
+0.018254
+0.0181679
+0.0183448
+0.0187774
+0.0174748
+0.0153468
+0.0132392
+0.0111636
+0.00914188
+0.00714639
+0.00523881
+0.00357083
+0.00225584
+0.00153979
+0.00209871
+0.00288566
+0.00453532
+0.00609415
+0.00765936
+0.00939383
+0.0112478
+0.0131844
+0.0121422
+0.0101707
+0.0083097
+0.00664798
+0.00533853
+0.00444578
+0.00432851
+0.00512563
+0.00647742
+0.00785437
+0.00940111
+0.0109846
+0.0126452
+0.014393
+0.0160833
+0.0177553
+0.0194447
+0.0211787
+0.0229206
+0.0234249
+0.0241183
+0.024971
+0.0259771
+0.0271232
+0.0262667
+0.0248548
+0.0235622
+0.0223891
+0.021355
+0.0205035
+0.0198582
+0.0194254
+0.0192261
+0.0192494
+0.0195201
+0.0200206
+0.0207401
+0.0216332
+0.021724
+0.0195446
+0.017368
+0.0151955
+0.0130291
+0.0108724
+0.00873162
+0.006618
+0.00457682
+0.00268442
+0.00117874
+-0.000506988
+-0.00145879
+-0.00235274
+-0.00204473
+-0.00129874
+0.000378302
+2.20515e-05
+-0.00171769
+-0.00347398
+-0.00535016
+-0.00719989
+-0.00869979
+-0.0103879
+-0.0100149
+-0.00834167
+-0.00646366
+-0.00454858
+-0.00263089
+-0.000619527
+0.00143545
+0.00353299
+0.0056442
+0.00764723
+0.00948033
+0.0114269
+0.0126219
+0.0136564
+0.0149102
+0.0163343
+0.0179139
+0.0192429
+0.0194101
+0.0198194
+0.0178942
+0.0157999
+0.0137358
+0.0117176
+0.0097741
+0.0079167
+0.00618374
+0.00457347
+0.00320043
+0.00270294
+0.00329735
+0.00419817
+0.00561187
+0.00733736
+0.00880587
+0.0103499
+0.0120481
+0.0138147
+0.0129083
+0.011074
+0.00937643
+0.00791387
+0.0067713
+0.00606013
+0.0060062
+0.00660383
+0.00776412
+0.00922042
+0.010697
+0.0123427
+0.0140043
+0.0156573
+0.0174117
+0.0191449
+0.020831
+0.0225257
+0.0242432
+0.0250094
+0.0256601
+0.0264706
+0.0274218
+0.0285098
+0.0274873
+0.0261413
+0.0249156
+0.0238092
+0.0228394
+0.0220453
+0.0214465
+0.0210464
+0.0208609
+0.0208824
+0.0211322
+0.0215969
+0.0222656
+0.0230997
+0.0217371
+0.0195535
+0.0173716
+0.0151922
+0.0130167
+0.0108473
+0.00868855
+0.00655105
+0.00446541
+0.00254839
+0.000374067
+-0.00130219
+-0.00240307
+-0.00257002
+-0.00168023
+-0.000373346
+0.000989326
+0.00133629
+-0.000483579
+-0.0023774
+-0.00411166
+-0.00560459
+-0.00733257
+-0.00913878
+-0.00956876
+-0.00874502
+-0.00696804
+-0.00494141
+-0.00305268
+-0.00129287
+0.000837027
+0.0030271
+0.00519777
+0.00701428
+0.00896221
+0.0109785
+0.0121084
+0.0131601
+0.0144252
+0.015893
+0.0175124
+0.0192313
+0.0206322
+0.0205284
+0.018473
+0.0164526
+0.0144817
+0.0125746
+0.0107615
+0.00897059
+0.00725056
+0.00574307
+0.00469
+0.00431612
+0.00450023
+0.00529244
+0.00653228
+0.00796221
+0.00959212
+0.0114113
+0.0130007
+0.014574
+0.0139642
+0.012268
+0.0107519
+0.00948067
+0.00849927
+0.00790159
+0.00787464
+0.00833943
+0.00931023
+0.0106122
+0.0121348
+0.0136483
+0.0153011
+0.0170398
+0.0186957
+0.0204258
+0.0222127
+0.0239125
+0.0256108
+0.0266798
+0.0272907
+0.0280542
+0.0289534
+0.0299859
+0.0288228
+0.0275422
+0.0263816
+0.0253376
+0.0244285
+0.0236878
+0.0231315
+0.022763
+0.02259
+0.0226099
+0.0228408
+0.023273
+0.0238948
+0.0240963
+0.0219287
+0.0197663
+0.0176108
+0.0154652
+0.0133343
+0.0112264
+0.00915747
+0.00710908
+0.00501527
+0.00306024
+0.00156006
+-0.000549254
+-0.00244463
+-0.00215621
+-0.000651278
+0.000795515
+0.00197535
+0.00246779
+0.000454191
+-0.00102677
+-0.00251654
+-0.00430408
+-0.00610749
+-0.00773623
+-0.00789641
+-0.00702969
+-0.00606937
+-0.00436048
+-0.00253379
+-0.000862261
+0.00110878
+0.00320199
+0.00500079
+0.00684256
+0.00882695
+0.010867
+0.0118117
+0.0129531
+0.0142367
+0.015722
+0.0173448
+0.0190621
+0.0208682
+0.0212524
+0.0192707
+0.0173286
+0.015453
+0.0136039
+0.0118155
+0.0101048
+0.00859911
+0.00732273
+0.00613126
+0.00531348
+0.00522936
+0.00588172
+0.00709638
+0.0085263
+0.0101765
+0.0119242
+0.0137983
+0.0155304
+0.0152173
+0.0136773
+0.0123357
+0.011224
+0.0103704
+0.00988651
+0.00987185
+0.0102473
+0.0110518
+0.0122014
+0.0135703
+0.0151153
+0.0166318
+0.0182855
+0.0200388
+0.0217481
+0.0234618
+0.0252442
+0.0269978
+0.028421
+0.0289953
+0.029715
+0.0305653
+0.0315451
+0.0302582
+0.029041
+0.0279362
+0.0269368
+0.0260836
+0.0253911
+0.024873
+0.0245402
+0.0243934
+0.0244118
+0.0246258
+0.0250286
+0.0256078
+0.0243375
+0.0221884
+0.0200483
+0.0179204
+0.0158096
+0.0137028
+0.0116104
+0.00955811
+0.00756459
+0.00570267
+0.00379191
+0.00169225
+-0.000381018
+-0.00201351
+-0.00114304
+0.000395513
+0.00196676
+0.00330394
+0.00336855
+0.00199861
+0.000510044
+-0.00128791
+-0.00310487
+-0.00477038
+-0.00611563
+-0.00615131
+-0.00524206
+-0.00431629
+-0.00323649
+-0.00162563
+-0.000341655
+0.00144666
+0.00346334
+0.00536941
+0.00716684
+0.00906616
+0.0108751
+0.0118589
+0.0130729
+0.0143458
+0.0158208
+0.0174344
+0.0191437
+0.0209137
+0.0221457
+0.0202423
+0.0183735
+0.0165205
+0.0147605
+0.0130706
+0.0111714
+0.00937411
+0.00776994
+0.00649168
+0.00577027
+0.0056929
+0.00633014
+0.00751815
+0.0090262
+0.0107361
+0.0125098
+0.0143746
+0.016316
+0.0166652
+0.0152719
+0.0140751
+0.0130755
+0.0123472
+0.0119436
+0.0119345
+0.0122502
+0.0129306
+0.013926
+0.0151745
+0.0165796
+0.0181206
+0.0196494
+0.0212941
+0.0230299
+0.0247988
+0.0265121
+0.028272
+0.0300857
+0.0307614
+0.0314407
+0.0322456
+0.0330415
+0.0317799
+0.0306232
+0.0295567
+0.028614
+0.0278122
+0.0271639
+0.0266802
+0.0263702
+0.0262401
+0.0262622
+0.0264612
+0.0268383
+0.0266628
+0.0245218
+0.0223899
+0.0202561
+0.0181359
+0.0160347
+0.013961
+0.0119275
+0.00993137
+0.00802067
+0.00629512
+0.00430855
+0.00227433
+0.000280907
+-0.000483523
+5.19212e-05
+0.00131918
+0.00296227
+0.00462755
+0.00486785
+0.0034815
+0.00170592
+-0.000139098
+-0.00184415
+-0.00325872
+-0.00439964
+-0.00427414
+-0.00347362
+-0.00243518
+-0.0015668
+-0.000311564
+0.000705322
+0.0022242
+0.00414379
+0.00610717
+0.00777288
+0.00962581
+0.0111169
+0.0120799
+0.0132964
+0.0147393
+0.0162178
+0.0177928
+0.0194059
+0.0210398
+0.0224754
+0.021313
+0.0194769
+0.0174365
+0.0154372
+0.0134976
+0.0116473
+0.00993643
+0.00843279
+0.007272
+0.00664271
+0.00657783
+0.00720929
+0.00828312
+0.00972005
+0.011362
+0.0131614
+0.0150402
+0.0169263
+0.0182618
+0.0169998
+0.0158964
+0.0150185
+0.014386
+0.0140412
+0.0140339
+0.0143082
+0.014895
+0.0157668
+0.0168797
+0.0181828
+0.0196166
+0.0211526
+0.0226886
+0.0243252
+0.0260432
+0.0278259
+0.0295706
+0.0313135
+0.0325792
+0.0332214
+0.0339841
+0.0345795
+0.0333761
+0.0322614
+0.0312468
+0.0303566
+0.0296021
+0.0289939
+0.0285412
+0.0282516
+0.0281302
+0.0281503
+0.0283361
+0.0286884
+0.0269969
+0.0248725
+0.0227606
+0.0206652
+0.0185917
+0.0165485
+0.0145399
+0.0125663
+0.0106777
+0.00892813
+0.00708007
+0.0050755
+0.00321445
+0.00191781
+0.00155458
+0.00173016
+0.0025958
+0.00404882
+0.00576208
+0.00628763
+0.00458273
+0.00275087
+0.00110188
+-0.00041965
+-0.00158971
+-0.00255439
+-0.00244944
+-0.00161659
+-0.000631224
+0.000334601
+0.00122708
+0.00190904
+0.00318039
+0.00497586
+0.00695326
+0.00869059
+0.0103863
+0.0116419
+0.0125962
+0.013769
+0.0151127
+0.0166261
+0.0182483
+0.0197944
+0.0212164
+0.0226408
+0.0220165
+0.0199952
+0.0180135
+0.0160862
+0.0142352
+0.0124856
+0.0108841
+0.00952028
+0.00850916
+0.00796767
+0.00791182
+0.00844443
+0.00943847
+0.0107311
+0.0122812
+0.0139865
+0.0157935
+0.0172485
+0.0199713
+0.0188048
+0.0178012
+0.0170218
+0.0164639
+0.0161634
+0.0161571
+0.0164006
+0.0169149
+0.0176875
+0.0186863
+0.0198773
+0.0212165
+0.0226701
+0.0242014
+0.0257419
+0.0273712
+0.0290744
+0.0308392
+0.0326248
+0.0343652
+0.0350485
+0.0357722
+0.0361848
+0.0350314
+0.0339583
+0.0329959
+0.0321541
+0.0314428
+0.0308708
+0.0304461
+0.0301748
+0.0300611
+0.0300794
+0.0302534
+0.029244
+0.0274078
+0.0253167
+0.0232439
+0.0211854
+0.0191449
+0.0171416
+0.0151901
+0.0133132
+0.0115474
+0.00995195
+0.00804122
+0.00627456
+0.00481551
+0.00392027
+0.0036408
+0.00370127
+0.00426182
+0.00540364
+0.00697003
+0.00745879
+0.00566718
+0.00403623
+0.00251424
+0.00123199
+0.000195125
+-0.000641364
+-0.00063971
+0.000244355
+0.00114634
+0.00223858
+0.00246122
+0.00346116
+0.00470948
+0.00617577
+0.00784699
+0.0094712
+0.011259
+0.0123819
+0.0133277
+0.0145039
+0.0157841
+0.0171989
+0.0186185
+0.0201702
+0.0215703
+0.0230144
+0.0226888
+0.0207331
+0.0188293
+0.01699
+0.0152328
+0.0136019
+0.0121485
+0.0109434
+0.0100761
+0.00958578
+0.00953941
+0.00998557
+0.0108638
+0.0120372
+0.0134381
+0.0145836
+0.0156011
+0.016819
+0.0217657
+0.0206738
+0.0197653
+0.0190664
+0.0185677
+0.0183019
+0.0182963
+0.0185158
+0.0189729
+0.0196648
+0.0205678
+0.0216555
+0.0229017
+0.0242665
+0.0257343
+0.0272613
+0.0288048
+0.0304278
+0.0321183
+0.0338662
+0.0356612
+0.0369152
+0.037603
+0.0378489
+0.0367309
+0.0357089
+0.034795
+0.0339978
+0.0333258
+0.0327867
+0.0323871
+0.0321322
+0.0319861
+0.0305036
+0.029097
+0.0277858
+0.0265631
+0.025464
+0.0238585
+0.021848
+0.0198757
+0.0179541
+0.0161014
+0.0143442
+0.0127223
+0.0110677
+0.00935898
+0.00784481
+0.00670055
+0.00603805
+0.00577725
+0.00573865
+0.00615467
+0.00704718
+0.00837776
+0.00867258
+0.00704311
+0.00551585
+0.00413613
+0.0030214
+0.00198073
+0.00132663
+0.00136915
+0.00205211
+0.00293999
+0.00322999
+0.00384739
+0.00490378
+0.00626824
+0.0076944
+0.00897813
+0.0104984
+0.0121699
+0.0132064
+0.0141156
+0.0152219
+0.0165075
+0.0178535
+0.0192248
+0.0207251
+0.0221197
+0.023566
+0.0235464
+0.021666
+0.0198393
+0.0180936
+0.0164547
+0.0149576
+0.0136494
+0.0125888
+0.0118393
+0.0113878
+0.0113488
+0.0117264
+0.012476
+0.0128805
+0.0135842
+0.0143577
+0.0153568
+0.0165616
+0.0236035
+0.0226006
+0.0217727
+0.0211402
+0.0206896
+0.0204513
+0.0204463
+0.0206467
+0.0210576
+0.0216831
+0.0225052
+0.0235035
+0.0246565
+0.0259435
+0.0273272
+0.0288057
+0.0303289
+0.0318745
+0.033492
+0.0351717
+0.036905
+0.0386847
+0.0394705
+0.0395519
+0.0384801
+0.0375058
+0.0366367
+0.0358805
+0.0352444
+0.0347351
+0.0340399
+0.032367
+0.0307592
+0.0292144
+0.0277506
+0.0263876
+0.0251379
+0.0239829
+0.0229695
+0.0221273
+0.0208124
+0.0189859
+0.0172444
+0.0155833
+0.0140303
+0.0124453
+0.0109121
+0.009635
+0.00872003
+0.00817054
+0.00784692
+0.00778238
+0.00817874
+0.00889268
+0.00998017
+0.00993589
+0.00856077
+0.00709606
+0.00590132
+0.00473453
+0.00385995
+0.00332739
+0.00339331
+0.00385239
+0.00441399
+0.00464146
+0.00535245
+0.00649528
+0.00775703
+0.00916933
+0.0104042
+0.0117573
+0.0133204
+0.014017
+0.0148386
+0.0159214
+0.0171956
+0.0184989
+0.0198608
+0.0213609
+0.0228601
+0.0242849
+0.0245429
+0.0227364
+0.021003
+0.0193626
+0.0178407
+0.0164703
+0.0152921
+0.0143536
+0.0136953
+0.013307
+0.0126954
+0.0123764
+0.0124408
+0.0128465
+0.0134847
+0.014213
+0.0152219
+0.0164366
+0.0254972
+0.0245717
+0.0238124
+0.0232355
+0.0228245
+0.0226087
+0.0226042
+0.022789
+0.0231619
+0.023732
+0.0244854
+0.025406
+0.0264763
+0.0276789
+0.0289973
+0.0303956
+0.0318823
+0.0334022
+0.0349492
+0.0365619
+0.0382323
+0.0399529
+0.0413697
+0.0412978
+0.0402725
+0.0393426
+0.038515
+0.0377964
+0.0366179
+0.0347999
+0.0330199
+0.031292
+0.0296255
+0.0280311
+0.0265086
+0.0250782
+0.0237639
+0.022586
+0.0215397
+0.0206392
+0.0199397
+0.0189826
+0.0179788
+0.0169062
+0.0154567
+0.0139931
+0.0126478
+0.0115547
+0.0106914
+0.0101768
+0.00990681
+0.00986078
+0.0102059
+0.0108386
+0.0117737
+0.0113514
+0.0100844
+0.00883419
+0.00759952
+0.00652067
+0.00571847
+0.00539418
+0.00546965
+0.00575613
+0.00601382
+0.00632951
+0.00703994
+0.00808045
+0.00938503
+0.0106218
+0.0118599
+0.0132076
+0.0143929
+0.0149813
+0.0157608
+0.0167655
+0.0179168
+0.0191183
+0.0204843
+0.0219841
+0.0235506
+0.0251664
+0.0256776
+0.0239568
+0.0223184
+0.0207821
+0.019372
+0.0181178
+0.0169231
+0.0156113
+0.0145133
+0.0136482
+0.0129465
+0.0125154
+0.0124307
+0.0127097
+0.0131102
+0.0138086
+0.0147695
+0.0159749
+0.0274351
+0.0265772
+0.0258768
+0.025347
+0.0249633
+0.0247662
+0.0247621
+0.0249397
+0.0252809
+0.0258042
+0.0264988
+0.0273517
+0.0283486
+0.0294749
+0.0307163
+0.0320564
+0.0334694
+0.0349627
+0.0364797
+0.0380277
+0.0396363
+0.0412984
+0.043008
+0.0430844
+0.0421027
+0.0412141
+0.0396046
+0.0376839
+0.0357941
+0.0339384
+0.0321108
+0.0303312
+0.0286087
+0.0269543
+0.0253812
+0.0238981
+0.0225151
+0.0212682
+0.0201827
+0.0192646
+0.0185114
+0.0173939
+0.0162924
+0.0154252
+0.014819
+0.014472
+0.0143534
+0.0134338
+0.0126677
+0.0122365
+0.0120131
+0.0119774
+0.012266
+0.0128413
+0.0136805
+0.0126732
+0.011443
+0.0102655
+0.00926147
+0.00830835
+0.00764514
+0.00753008
+0.00742946
+0.00742134
+0.00771678
+0.00822603
+0.00884154
+0.00978906
+0.0109682
+0.0121905
+0.0133705
+0.0146988
+0.0155624
+0.0161081
+0.0168204
+0.0177243
+0.018721
+0.0198739
+0.0211913
+0.0226443
+0.0242086
+0.0258601
+0.0269429
+0.0252419
+0.0235746
+0.0219604
+0.0203412
+0.0187804
+0.0172708
+0.0158709
+0.0146578
+0.013655
+0.0129261
+0.0124169
+0.0121037
+0.0121827
+0.0125788
+0.0132615
+0.0142303
+0.0154293
+0.0294086
+0.0286099
+0.0279604
+0.0274655
+0.02711
+0.0269286
+0.0269248
+0.0270968
+0.0274111
+0.0278945
+0.0285383
+0.0293319
+0.0302637
+0.0313212
+0.0324921
+0.0337648
+0.0351216
+0.0365474
+0.038046
+0.0395604
+0.0411091
+0.042714
+0.0443691
+0.0449068
+0.0429438
+0.0409453
+0.0389676
+0.0370138
+0.035088
+0.0331941
+0.0313265
+0.0295021
+0.0277281
+0.0260178
+0.0243843
+0.0228444
+0.0214181
+0.0201033
+0.0189512
+0.0179837
+0.0172144
+0.0159015
+0.0147156
+0.0137493
+0.0130818
+0.0127403
+0.0127181
+0.0128636
+0.0124825
+0.0117316
+0.0112909
+0.0112534
+0.0115732
+0.0122651
+0.0132374
+0.0141381
+0.0128586
+0.0117234
+0.0107211
+0.0099362
+0.00948744
+0.00937334
+0.0092181
+0.00923836
+0.00959125
+0.0101671
+0.0107581
+0.0116102
+0.0126794
+0.0137911
+0.0149515
+0.016223
+0.0167367
+0.0172522
+0.017898
+0.0187406
+0.0197006
+0.0208335
+0.0220937
+0.023491
+0.0250024
+0.0266085
+0.027429
+0.025717
+0.0240422
+0.0223451
+0.0205941
+0.0189349
+0.0173877
+0.01594
+0.0146218
+0.0135236
+0.0127055
+0.0120063
+0.0116821
+0.0116984
+0.012077
+0.0127771
+0.0137689
+0.0150047
+0.0314108
+0.0306643
+0.0300593
+0.0295928
+0.0292631
+0.0290952
+0.0290917
+0.0292527
+0.0295502
+0.0299991
+0.0305987
+0.0313402
+0.0322139
+0.0332093
+0.034316
+0.0355233
+0.0368216
+0.038192
+0.0396285
+0.0411315
+0.0426436
+0.0441929
+0.0457945
+0.044508
+0.0424702
+0.0404483
+0.038445
+0.0364632
+0.0345067
+0.032579
+0.0306741
+0.028809
+0.026993
+0.0252364
+0.0235496
+0.0219512
+0.0204628
+0.01911
+0.0179039
+0.0168765
+0.0159501
+0.0144762
+0.0132028
+0.0121928
+0.0114419
+0.011073
+0.0110777
+0.0114232
+0.0109248
+0.0100583
+0.00958814
+0.00954126
+0.00992262
+0.0107135
+0.0117858
+0.0131135
+0.0143495
+0.0133046
+0.0123488
+0.0116724
+0.0112876
+0.0111905
+0.0111388
+0.0111679
+0.0115423
+0.0120413
+0.01272
+0.0134757
+0.01449
+0.0154828
+0.0165721
+0.0173506
+0.0178318
+0.0184084
+0.019022
+0.0198185
+0.0208148
+0.0219302
+0.0231625
+0.0244989
+0.0259517
+0.0275024
+0.0280341
+0.026297
+0.0243956
+0.0225089
+0.0206822
+0.0189329
+0.0172845
+0.015758
+0.0143888
+0.0132423
+0.0123806
+0.0118616
+0.0115333
+0.0115556
+0.0119129
+0.0126221
+0.0136422
+0.0148882
+0.0334367
+0.0327365
+0.0321704
+0.0317287
+0.0314215
+0.0312651
+0.0312619
+0.0314118
+0.0316964
+0.0321153
+0.032676
+0.0333714
+0.0341933
+0.0351327
+0.0361805
+0.0373276
+0.0385651
+0.0398847
+0.0412666
+0.042712
+0.0442187
+0.0457289
+0.0462271
+0.04416
+0.0421053
+0.0400651
+0.0380416
+0.0360376
+0.0340567
+0.032102
+0.0301669
+0.0282684
+0.0264152
+0.0246175
+0.0228884
+0.0212446
+0.0197056
+0.018297
+0.0170541
+0.015994
+0.0148311
+0.0132417
+0.0118362
+0.0106979
+0.0098925
+0.00946337
+0.00949858
+0.00994842
+0.00955935
+0.00858414
+0.00805013
+0.00799429
+0.00843586
+0.00928896
+0.0104905
+0.0119218
+0.0133008
+0.0141236
+0.0141296
+0.0135094
+0.0131667
+0.0130795
+0.0131339
+0.0131753
+0.0135102
+0.0139989
+0.0147213
+0.0154206
+0.015682
+0.0157179
+0.0160556
+0.0166765
+0.0175498
+0.0185946
+0.0198247
+0.0210637
+0.0220049
+0.0230956
+0.0243105
+0.0256221
+0.0270235
+0.0285159
+0.0283132
+0.0263428
+0.02441
+0.0225245
+0.0206992
+0.0189514
+0.0173048
+0.0157803
+0.0144132
+0.0132689
+0.012409
+0.0118827
+0.0116245
+0.0116277
+0.0120358
+0.0127864
+0.0137922
+0.0150359
+0.0354822
+0.0348231
+0.0342915
+0.0338717
+0.0335841
+0.0334378
+0.0334347
+0.0335749
+0.0338482
+0.0342408
+0.0347673
+0.0354217
+0.036197
+0.0370857
+0.0380798
+0.0391713
+0.0403524
+0.0416153
+0.0429529
+0.0443445
+0.0457975
+0.0473074
+0.0459966
+0.0439186
+0.0418521
+0.0397989
+0.0377612
+0.0357415
+0.0337432
+0.0317692
+0.0298125
+0.0278899
+0.0260097
+0.0241819
+0.0224192
+0.0207383
+0.0191592
+0.0177072
+0.0164198
+0.0153193
+0.013964
+0.0122627
+0.0107297
+0.00945923
+0.00853502
+0.0080337
+0.00807952
+0.00860249
+0.00847875
+0.00738973
+0.00673254
+0.00661631
+0.00711545
+0.00806917
+0.00942936
+0.0109981
+0.0125166
+0.0133401
+0.0144515
+0.0154282
+0.0151291
+0.0150442
+0.0151829
+0.0152188
+0.0155252
+0.0160124
+0.0152495
+0.0147084
+0.0144696
+0.0145086
+0.0148737
+0.0155419
+0.016444
+0.0175512
+0.0188489
+0.0203006
+0.0218757
+0.0235403
+0.0252638
+0.0268089
+0.0281746
+0.0296176
+0.0284945
+0.0265376
+0.0246202
+0.0227521
+0.0209466
+0.0192213
+0.0175999
+0.0161034
+0.0147629
+0.0136232
+0.0127601
+0.012233
+0.0119924
+0.012062
+0.0124564
+0.0131709
+0.0141587
+0.0153902
+0.037544
+0.0369218
+0.0364207
+0.0360203
+0.03575
+0.0356127
+0.0356098
+0.0357415
+0.0360047
+0.0363741
+0.0368701
+0.0374878
+0.0382212
+0.0390639
+0.0400089
+0.0410491
+0.0421776
+0.0433875
+0.044672
+0.0460233
+0.047425
+0.0479632
+0.0458697
+0.0437857
+0.0417126
+0.0396522
+0.0376065
+0.035578
+0.03357
+0.0315851
+0.0296163
+0.0276801
+0.0257846
+0.0239396
+0.0221577
+0.0204552
+0.0188525
+0.0173748
+0.0160608
+0.014934
+0.0133847
+0.0115908
+0.00995312
+0.00856622
+0.0075566
+0.00698514
+0.00702133
+0.00762701
+0.00767411
+0.00645302
+0.00570676
+0.00553456
+0.00609406
+0.00721961
+0.0087205
+0.0104174
+0.0119647
+0.0128236
+0.0139762
+0.0153565
+0.0169088
+0.017064
+0.0172192
+0.0172984
+0.0162861
+0.0151654
+0.0142892
+0.0137103
+0.0134538
+0.0134957
+0.0138874
+0.0146009
+0.0155591
+0.0167249
+0.018082
+0.0195907
+0.0212185
+0.0229295
+0.0246957
+0.0265089
+0.0283524
+0.0302423
+0.0288416
+0.02691
+0.025021
+0.0231853
+0.0214163
+0.0197322
+0.0181524
+0.0166726
+0.0153626
+0.0142702
+0.0134487
+0.0129444
+0.0127226
+0.012797
+0.0131721
+0.0138792
+0.0148246
+0.0160114
+0.0396197
+0.0390306
+0.0385518
+0.0381738
+0.0379189
+0.0377894
+0.0377867
+0.0379108
+0.0381604
+0.0385138
+0.0389826
+0.0395673
+0.0402629
+0.0410637
+0.0419637
+0.0429566
+0.0440363
+0.0451964
+0.0464309
+0.0477341
+0.0490962
+0.0479418
+0.0458473
+0.0437622
+0.0416879
+0.0396262
+0.0375791
+0.035549
+0.0335393
+0.0315525
+0.0295815
+0.0276428
+0.0257447
+0.0238966
+0.0221111
+0.0204048
+0.0187975
+0.0173154
+0.0159965
+0.0148648
+0.0130966
+0.0112569
+0.00956216
+0.00810868
+0.00703368
+0.00641581
+0.00645519
+0.00710927
+0.00734506
+0.00602949
+0.00517641
+0.00500757
+0.00565439
+0.00686776
+0.00844915
+0.0102278
+0.0117936
+0.0126677
+0.013833
+0.015226
+0.0167902
+0.018482
+0.0184708
+0.0169919
+0.0156709
+0.0145335
+0.0136167
+0.0130079
+0.0127372
+0.0127815
+0.0131944
+0.0139434
+0.0149453
+0.0161555
+0.0175566
+0.0191068
+0.0207727
+0.0225162
+0.0243124
+0.0261555
+0.0280222
+0.029933
+0.0293485
+0.0274526
+0.0256037
+0.0238129
+0.0220943
+0.0204537
+0.0188994
+0.017482
+0.0162374
+0.015208
+0.0144399
+0.013964
+0.0137595
+0.0138348
+0.0141827
+0.0148418
+0.0157641
+0.0168897
+0.0417072
+0.0411479
+0.0406892
+0.0403313
+0.04009
+0.0399676
+0.039965
+0.0400824
+0.0403186
+0.0406589
+0.0411033
+0.0416582
+0.0423195
+0.043082
+0.0439407
+0.0448899
+0.0459242
+0.0470377
+0.0482251
+0.0494811
+0.0501197
+0.0480198
+0.0459282
+0.0438458
+0.0417745
+0.0397159
+0.0376723
+0.0356461
+0.0336405
+0.0316575
+0.0296909
+0.0277576
+0.0258654
+0.0240239
+0.0222459
+0.0205477
+0.0189508
+0.017483
+0.0161796
+0.0150635
+0.0131516
+0.0113189
+0.00963692
+0.00818651
+0.00710825
+0.00649744
+0.0065169
+0.00716422
+0.00750585
+0.00619598
+0.00541203
+0.00525091
+0.00587098
+0.00709062
+0.00865054
+0.0104396
+0.0119547
+0.0128191
+0.0139716
+0.0153519
+0.0169042
+0.0185853
+0.0181699
+0.0166642
+0.015315
+0.0141675
+0.0132254
+0.0125977
+0.0123325
+0.0124016
+0.0128268
+0.013596
+0.0146368
+0.0158706
+0.0172948
+0.0188665
+0.0205519
+0.0223102
+0.0241169
+0.0259818
+0.0278609
+0.029782
+0.0300072
+0.0281557
+0.0263562
+0.0246201
+0.0229425
+0.0213447
+0.0198603
+0.0185166
+0.0173464
+0.0163868
+0.0156717
+0.0152207
+0.0150281
+0.0150949
+0.0154399
+0.0160475
+0.0169041
+0.0179882
+0.0438047
+0.0432726
+0.042832
+0.0424922
+0.0422632
+0.0421471
+0.0421447
+0.042256
+0.0424801
+0.0428087
+0.043231
+0.0437589
+0.0443889
+0.0451165
+0.0459371
+0.046846
+0.0478379
+0.0489079
+0.050051
+0.0512622
+0.050273
+0.0481792
+0.0460943
+0.0440197
+0.041957
+0.0399078
+0.0378745
+0.0358598
+0.0338669
+0.0318979
+0.029947
+0.0280314
+0.026159
+0.0243397
+0.0225865
+0.020916
+0.0193496
+0.0179145
+0.0166449
+0.0153828
+0.0135156
+0.01174
+0.0101281
+0.00875946
+0.00774828
+0.00719081
+0.00721012
+0.00780662
+0.00815489
+0.00695075
+0.00624494
+0.00617699
+0.00673009
+0.007852
+0.0092951
+0.0109796
+0.0124934
+0.013325
+0.0144439
+0.0157831
+0.0172966
+0.0189137
+0.0181305
+0.0166213
+0.0152683
+0.014117
+0.0131713
+0.0125408
+0.0122744
+0.0123438
+0.012771
+0.0135434
+0.0146012
+0.0158364
+0.0172624
+0.0188357
+0.0205226
+0.0222795
+0.0240875
+0.0259546
+0.0278688
+0.0297918
+0.0308079
+0.0290075
+0.027264
+0.0255649
+0.0239416
+0.0224151
+0.0210065
+0.019741
+0.0186477
+0.0177586
+0.0170949
+0.016667
+0.0164913
+0.0165502
+0.0168802
+0.0174413
+0.0182371
+0.0192462
+0.045911
+0.0454035
+0.0449795
+0.0446559
+0.0444382
+0.0443277
+0.0443254
+0.0444313
+0.0446445
+0.0449624
+0.0453646
+0.0458681
+0.0464694
+0.0471649
+0.0479505
+0.0488219
+0.0497745
+0.0508037
+0.051905
+0.0526118
+0.0505199
+0.0484367
+0.0463634
+0.0443015
+0.0422524
+0.0402184
+0.0382016
+0.0362051
+0.0342323
+0.0322854
+0.0303595
+0.0284716
+0.0266301
+0.0248454
+0.0231306
+0.0215024
+0.0199819
+0.0185957
+0.0173759
+0.0159905
+0.0141869
+0.0125069
+0.011008
+0.00976771
+0.00880459
+0.00831821
+0.0083357
+0.0088612
+0.00919482
+0.00814762
+0.00753273
+0.0074765
+0.00803168
+0.00899825
+0.0103365
+0.0119045
+0.0133529
+0.014134
+0.0151934
+0.0164735
+0.017898
+0.0194652
+0.0183522
+0.016854
+0.0155212
+0.0143998
+0.0134778
+0.0128625
+0.0126028
+0.0126705
+0.0130869
+0.0138417
+0.0148785
+0.0160925
+0.0174975
+0.0190515
+0.0207208
+0.0224624
+0.0242568
+0.0261118
+0.0280152
+0.029958
+0.0317323
+0.0299875
+0.0282836
+0.0266459
+0.0250926
+0.0236406
+0.0223095
+0.0211222
+0.0201042
+0.0192779
+0.0186674
+0.0182621
+0.0181009
+0.0181538
+0.0184667
+0.018982
+0.0197239
+0.0206605
+0.0480248
+0.0475386
+0.0471309
+0.0468222
+0.0466146
+0.0465093
+0.0465071
+0.046608
+0.0468113
+0.0471157
+0.0475035
+0.0479845
+0.0485596
+0.0492256
+0.0499789
+0.0508154
+0.0517313
+0.0527223
+0.0537844
+0.0529385
+0.05086
+0.0487913
+0.0467338
+0.0446889
+0.0426585
+0.0406447
+0.0386502
+0.0366781
+0.0347322
+0.0328149
+0.0309219
+0.0290706
+0.0272696
+0.0255297
+0.0238641
+0.0222895
+0.0208266
+0.0195005
+0.018341
+0.0168152
+0.0151103
+0.0135453
+0.0121749
+0.011067
+0.010227
+0.00981151
+0.00982748
+0.010277
+0.0105517
+0.00965176
+0.00914434
+0.00909807
+0.00956708
+0.010424
+0.0116083
+0.0130554
+0.0144364
+0.015163
+0.0161561
+0.0173702
+0.0187377
+0.02024
+0.0187908
+0.0173305
+0.0160373
+0.0149546
+0.0141216
+0.0135355
+0.0132891
+0.0133532
+0.013749
+0.0144693
+0.0154549
+0.0166289
+0.0179939
+0.0195101
+0.0211448
+0.0228548
+0.0246206
+0.0264501
+0.0283308
+0.0302533
+0.0321989
+0.0310734
+0.0294278
+0.0278575
+0.0263757
+0.0249983
+0.0237434
+0.0226315
+0.0216844
+0.0209157
+0.0203524
+0.0199705
+0.0198215
+0.0198698
+0.0201575
+0.0206406
+0.0213281
+0.0222012
+0.0501452
+0.0496758
+0.0492857
+0.0489907
+0.0487922
+0.0486917
+0.0486896
+0.048786
+0.0489802
+0.0492712
+0.0496469
+0.0501073
+0.0506583
+0.0512971
+0.0520203
+0.0528246
+0.0537062
+0.0546615
+0.0554247
+0.0533532
+0.0512915
+0.0492409
+0.047203
+0.0451794
+0.043172
+0.0411834
+0.0392163
+0.0372741
+0.0353611
+0.0334797
+0.0316265
+0.0298189
+0.028066
+0.0263786
+0.0247702
+0.023257
+0.0218586
+0.0205977
+0.0195021
+0.0178658
+0.0162709
+0.0148289
+0.0135885
+0.0125589
+0.0118244
+0.0114676
+0.0114859
+0.0118726
+0.01215
+0.0113771
+0.0109237
+0.010885
+0.01128
+0.0120545
+0.0130921
+0.0143908
+0.0157135
+0.0163835
+0.0173068
+0.0184452
+0.0197618
+0.0209816
+0.0194674
+0.0180618
+0.016825
+0.0157964
+0.0150034
+0.0144533
+0.0142227
+0.0143114
+0.0146814
+0.015358
+0.0162822
+0.0174156
+0.0187234
+0.0201848
+0.0217689
+0.0234461
+0.0251705
+0.0269627
+0.02881
+0.0307025
+0.0326323
+0.0322675
+0.0306861
+0.0291835
+0.0277725
+0.0264679
+0.0252861
+0.024245
+0.0233594
+0.0226473
+0.0221169
+0.0217654
+0.0216273
+0.0216715
+0.0219356
+0.0223909
+0.0230262
+0.0238439
+0.0522714
+0.0518174
+0.0514436
+0.051161
+0.050971
+0.0508748
+0.0508728
+0.050965
+0.051151
+0.0514297
+0.0517942
+0.0522357
+0.0527645
+0.0533781
+0.0540735
+0.0548476
+0.0556973
+0.0566189
+0.0559069
+0.0538538
+0.0518121
+0.049783
+0.0477682
+0.0457695
+0.0437893
+0.04183
+0.0398948
+0.0379873
+0.036112
+0.0342718
+0.0324638
+0.0307056
+0.0290063
+0.027377
+0.0258298
+0.0243814
+0.0230504
+0.0218583
+0.0207161
+0.019108
+0.0176258
+0.0163041
+0.0151612
+0.0142251
+0.013581
+0.0132716
+0.0132885
+0.0136241
+0.0138969
+0.0132265
+0.012831
+0.012798
+0.0131356
+0.0138165
+0.014753
+0.0159168
+0.017176
+0.0177911
+0.0186447
+0.0197061
+0.0209435
+0.0218022
+0.0203559
+0.0190164
+0.0178458
+0.0168712
+0.016131
+0.0156206
+0.0154076
+0.0154895
+0.015832
+0.0164614
+0.0173267
+0.0184095
+0.019671
+0.0210668
+0.0225891
+0.0242021
+0.0258938
+0.0276387
+0.0294431
+0.0312967
+0.0331914
+0.0335623
+0.0320448
+0.030609
+0.0292668
+0.0280318
+0.0269188
+0.0259433
+0.0251136
+0.0244525
+0.0239514
+0.0236272
+0.0234986
+0.0235394
+0.0237827
+0.0242129
+0.0248016
+0.0255651
+0.0544027
+0.053963
+0.0536042
+0.053333
+0.0531508
+0.0530585
+0.0530566
+0.053145
+0.0533234
+0.0535908
+0.053945
+0.054369
+0.0548773
+0.0554675
+0.0561371
+0.0568831
+0.0577028
+0.0585132
+0.0564699
+0.0544381
+0.0524191
+0.0504145
+0.0484259
+0.0464556
+0.0445059
+0.0425796
+0.04068
+0.0388112
+0.0369777
+0.0351827
+0.033424
+0.0317187
+0.0300758
+0.0285066
+0.0270241
+0.0256432
+0.0243811
+0.0232574
+0.0220155
+0.0205095
+0.0191363
+0.0179218
+0.0168549
+0.0160181
+0.015449
+0.0151776
+0.0151934
+0.0154878
+0.0157346
+0.0151457
+0.0148169
+0.0147883
+0.0150814
+0.0156781
+0.0165378
+0.0175838
+0.0187807
+0.0193448
+0.0201327
+0.0211194
+0.0222784
+0.0228044
+0.0214259
+0.0201576
+0.0190572
+0.0181478
+0.0174618
+0.0169914
+0.0167958
+0.0168709
+0.0171859
+0.0177674
+0.018572
+0.0195861
+0.0207824
+0.0221215
+0.0235607
+0.0251087
+0.0267446
+0.0284371
+0.0301934
+0.0320033
+0.0338583
+0.0349465
+0.0334918
+0.0321207
+0.0308445
+0.0296752
+0.0286261
+0.027707
+0.0269317
+0.0263164
+0.0258414
+0.0255412
+0.025421
+0.0254587
+0.0256839
+0.0260908
+0.0266389
+0.0273512
+0.0565386
+0.0561121
+0.0557671
+0.0555065
+0.0553314
+0.0552428
+0.0552409
+0.0553259
+0.0554973
+0.0557543
+0.0560957
+0.0565068
+0.056996
+0.0575645
+0.0582099
+0.0589298
+0.0597213
+0.0591326
+0.0571115
+0.0551034
+0.0531097
+0.0511321
+0.0491726
+0.0472334
+0.0453172
+0.0434269
+0.0415661
+0.0397389
+0.0379503
+0.0362028
+0.0344952
+0.0328451
+0.0312614
+0.0297548
+0.0283376
+0.0270239
+0.0258294
+0.0247572
+0.023448
+0.0220401
+0.0207683
+0.0196218
+0.0186524
+0.0178998
+0.0173924
+0.0171518
+0.0171667
+0.0174278
+0.017653
+0.0171303
+0.0168536
+0.0168285
+0.0170866
+0.0176155
+0.0183917
+0.0193539
+0.0204906
+0.0210124
+0.0217399
+0.0226567
+0.0237409
+0.0239655
+0.0226577
+0.0214624
+0.0204324
+0.0195869
+0.0189384
+0.0185055
+0.018326
+0.0184039
+0.0186932
+0.0192291
+0.0199806
+0.0209265
+0.0220502
+0.0233166
+0.0246862
+0.0261678
+0.0277411
+0.0293763
+0.0310795
+0.0328406
+0.0346508
+0.03641
+0.0350162
+0.0337072
+0.0324933
+0.0313855
+0.0303952
+0.029528
+0.0288018
+0.0282225
+0.0277757
+0.0274966
+0.0273838
+0.0274187
+0.0276279
+0.0280074
+0.0285262
+0.0291924
+0.0586764
+0.0582643
+0.0579321
+0.0576813
+0.0575128
+0.0574275
+0.0574258
+0.0575075
+0.0576724
+0.0579197
+0.0582485
+0.0586484
+0.0591199
+0.0596682
+0.0602911
+0.0609864
+0.0617516
+0.0598258
+0.057829
+0.0558467
+0.0538805
+0.0519323
+0.0500041
+0.0480985
+0.0462181
+0.0443662
+0.0425465
+0.0407634
+0.0390217
+0.0373201
+0.035666
+0.0340726
+0.0325487
+0.0311046
+0.0297517
+0.0285033
+0.0273691
+0.026341
+0.0249907
+0.0236747
+0.0224743
+0.0214101
+0.0205253
+0.0198439
+0.0193874
+0.0191719
+0.0191872
+0.0194211
+0.0196285
+0.0191597
+0.0189247
+0.0189024
+0.0191325
+0.0196063
+0.0203066
+0.0211878
+0.0222309
+0.0227688
+0.0234419
+0.0242945
+0.0253086
+0.0252635
+0.0240265
+0.0229027
+0.0219404
+0.0211554
+0.0205417
+0.0201433
+0.0199785
+0.0200527
+0.0203206
+0.0208148
+0.0215204
+0.0224013
+0.0234513
+0.0246338
+0.0259477
+0.0273615
+0.0288698
+0.0304443
+0.032091
+0.0337994
+0.0355608
+0.0373676
+0.0366082
+0.0353582
+0.0342029
+0.0331523
+0.0322132
+0.0313963
+0.0307143
+0.0301632
+0.0297455
+0.029485
+0.0293787
+0.0294113
+0.0296065
+0.0299609
+0.0304541
+0.031079
+0.0608167
+0.0604192
+0.0600989
+0.0598572
+0.0596949
+0.0596128
+0.059611
+0.0596898
+0.0598487
+0.060087
+0.060404
+0.0607936
+0.0612486
+0.0617779
+0.0623798
+0.063052
+0.0625759
+0.0605904
+0.0586196
+0.056665
+0.0547282
+0.0528113
+0.0509164
+0.0490462
+0.0472036
+0.045392
+0.0436151
+0.0418765
+0.0401714
+0.0385152
+0.0369148
+0.0353776
+0.0339124
+0.0325289
+0.0312378
+0.0300495
+0.0289703
+0.0279723
+0.0266235
+0.0253807
+0.0242462
+0.0232632
+0.0224515
+0.0218303
+0.0214162
+0.0212213
+0.0212365
+0.0214482
+0.0216455
+0.0212213
+0.0210102
+0.0209901
+0.0211976
+0.0216261
+0.022263
+0.0230841
+0.024045
+0.024595
+0.0252194
+0.0260138
+0.0269633
+0.0266785
+0.0254928
+0.0244363
+0.0235368
+0.0228126
+0.0222454
+0.021878
+0.0217264
+0.021795
+0.0220459
+0.0225021
+0.0231575
+0.0239858
+0.0249543
+0.0260687
+0.0273137
+0.0286722
+0.0301158
+0.0316283
+0.0332163
+0.0348696
+0.0365795
+0.0383383
+0.0382595
+0.0370652
+0.0359648
+0.0349667
+0.0340751
+0.0333039
+0.0326617
+0.032136
+0.0317443
+0.0315004
+0.0313998
+0.0314303
+0.031613
+0.0319452
+0.0324154
+0.0330032
+0.0629606
+0.0625766
+0.0622675
+0.0620342
+0.0618776
+0.0617983
+0.0617967
+0.0618726
+0.0620259
+0.062256
+0.0625619
+0.0629419
+0.0633814
+0.0638931
+0.0644752
+0.0651259
+0.063383
+0.0614237
+0.0594805
+0.0575551
+0.0556493
+0.0537652
+0.0519052
+0.0500719
+0.0482685
+0.0464984
+0.0447593
+0.0430567
+0.0414
+0.039795
+0.0382481
+0.0367668
+0.0353592
+0.0340345
+0.0328027
+0.0316667
+0.0306445
+0.0295935
+0.028322
+0.0271397
+0.0260818
+0.0251706
+0.0244224
+0.0238526
+0.0234742
+0.0232965
+0.0233104
+0.0235033
+0.0236933
+0.0233065
+0.0231114
+0.0230932
+0.0232819
+0.0236728
+0.024256
+0.025018
+0.0259174
+0.0264765
+0.0270575
+0.0277995
+0.02869
+0.0281792
+0.0270503
+0.026057
+0.0252154
+0.0245411
+0.0240281
+0.0236884
+0.0235484
+0.0236115
+0.0238435
+0.024266
+0.024875
+0.0256478
+0.0265532
+0.0276031
+0.0287818
+0.0300741
+0.0314651
+0.0329156
+0.0344443
+0.0360414
+0.0376982
+0.0394071
+0.0399627
+0.0388208
+0.0377716
+0.0368197
+0.035974
+0.0352444
+0.0346378
+0.0341354
+0.0337669
+0.0335377
+0.0334423
+0.0334709
+0.0336425
+0.0339549
+0.0344036
+0.0349588
+0.0651075
+0.0647363
+0.0644375
+0.0642121
+0.0640608
+0.0639843
+0.0639827
+0.064056
+0.0642041
+0.0644264
+0.0647221
+0.0650902
+0.0655181
+0.0660132
+0.0665768
+0.0662028
+0.0642547
+0.0623228
+0.0604085
+0.0585137
+0.0566401
+0.0547901
+0.0529661
+0.0511709
+0.0494067
+0.0476689
+0.0459697
+0.0443136
+0.0427057
+0.0411517
+0.0396578
+0.0382311
+0.0368794
+0.0356113
+0.0344307
+0.0333494
+0.0323804
+0.0312833
+0.030074
+0.0289576
+0.0279686
+0.0271208
+0.0264279
+0.0259023
+0.0255542
+0.0253911
+0.0254038
+0.025581
+0.0257647
+0.0254094
+0.0252279
+0.0252112
+0.0253842
+0.0257431
+0.0262804
+0.0269853
+0.0278363
+0.0284024
+0.0289448
+0.0296396
+0.0304763
+0.0297573
+0.0286906
+0.0277561
+0.0269676
+0.0263382
+0.0258696
+0.0255544
+0.0254247
+0.0254729
+0.0256826
+0.0260753
+0.0266429
+0.0273745
+0.0282316
+0.0292213
+0.0303372
+0.0315658
+0.0328946
+0.0342947
+0.0357645
+0.0373051
+0.0389081
+0.0405661
+0.0417114
+0.0406187
+0.0396145
+0.038706
+0.0379024
+0.0372107
+0.0366326
+0.036157
+0.0358092
+0.0355932
+0.0355024
+0.0355294
+0.0356911
+0.0359857
+0.0364099
+0.0369408
+0.0672572
+0.066898
+0.0666089
+0.0663908
+0.0662446
+0.0661705
+0.066169
+0.0662399
+0.0663831
+0.0665981
+0.0668842
+0.0672405
+0.0676583
+0.0681378
+0.068684
+0.0671094
+0.0651884
+0.063285
+0.0614008
+0.0595375
+0.0576972
+0.0558822
+0.0540951
+0.0523332
+0.0506009
+0.0489054
+0.0472507
+0.0456411
+0.0440817
+0.0425779
+0.0411358
+0.0397622
+0.0384644
+0.0372474
+0.0361176
+0.0350883
+0.0341687
+0.0330319
+0.0318751
+0.0308241
+0.0298968
+0.0291053
+0.0284607
+0.0279733
+0.0276513
+0.0275007
+0.0275124
+0.0276761
+0.0278543
+0.027526
+0.0273561
+0.0273406
+0.0275003
+0.0278319
+0.0283296
+0.0289848
+0.029787
+0.0303642
+0.0308722
+0.0315245
+0.0323125
+0.0314091
+0.0304004
+0.0295201
+0.0287799
+0.028191
+0.0277459
+0.0274522
+0.0273316
+0.0273777
+0.0275729
+0.0279391
+0.0284696
+0.0291554
+0.0299762
+0.0309101
+0.0319671
+0.0331353
+0.0344036
+0.0357549
+0.037167
+0.0386517
+0.040201
+0.0418078
+0.0434656
+0.0424455
+0.0414833
+0.0406166
+0.0398515
+0.0391942
+0.0386474
+0.0381972
+0.0378682
+0.037664
+0.0375773
+0.0376028
+0.0377556
+0.0380342
+0.0384358
+0.0389452
+0.0694095
+0.0690615
+0.0687815
+0.0685704
+0.0684287
+0.0683571
+0.0683556
+0.0684243
+0.0685629
+0.0687711
+0.0690482
+0.0693933
+0.0698015
+0.0702665
+0.0699847
+0.0680744
+0.0661815
+0.0643075
+0.0624541
+0.0606232
+0.0588169
+0.0570367
+0.0552783
+0.0535517
+0.0518601
+0.0502071
+0.0485967
+0.0470333
+0.0455215
+0.0440669
+0.0426752
+0.0413527
+0.0401056
+0.0389355
+0.0378561
+0.0368754
+0.0360014
+0.0348238
+0.0337224
+0.0327307
+0.031859
+0.0311174
+0.0305154
+0.0300613
+0.029762
+0.029622
+0.0296329
+0.0297849
+0.0299584
+0.0296533
+0.0294934
+0.0294791
+0.0296272
+0.0299353
+0.0303986
+0.03101
+0.0317611
+0.0323555
+0.0328326
+0.0334467
+0.0341904
+0.0331235
+0.0321686
+0.031338
+0.0306417
+0.0300893
+0.0296653
+0.0293908
+0.0292781
+0.0293225
+0.0295049
+0.0298474
+0.0303445
+0.0309889
+0.0317716
+0.0326564
+0.0336586
+0.0347701
+0.0359808
+0.0372628
+0.0386201
+0.0400512
+0.0415486
+0.0431053
+0.0447152
+0.0443031
+0.0433821
+0.0425541
+0.0418245
+0.0411986
+0.0406796
+0.0402519
+0.0399398
+0.0397463
+0.0396647
+0.0396888
+0.0398336
+0.0400978
+0.040479
+0.0409686
+0.0715642
+0.0712266
+0.0709552
+0.0707505
+0.0706133
+0.0705439
+0.0705424
+0.070609
+0.0707433
+0.0709451
+0.0712137
+0.0715485
+0.0719477
+0.0723988
+0.0709783
+0.0690955
+0.0672313
+0.0653874
+0.0635655
+0.0617676
+0.0599909
+0.0582392
+0.0565181
+0.0548306
+0.0531797
+0.0515691
+0.0500026
+0.0484844
+0.0470194
+0.0456126
+0.0442695
+0.0429961
+0.0417931
+0.0406715
+0.0396394
+0.0387039
+0.0377898
+0.0366534
+0.0356086
+0.034671
+0.0338493
+0.0331522
+0.0325878
+0.032163
+0.0318834
+0.0317528
+0.0317629
+0.0319048
+0.032074
+0.0317893
+0.031638
+0.0316247
+0.0317628
+0.0320504
+0.0324835
+0.0330564
+0.033762
+0.0343709
+0.0348205
+0.0354001
+0.0359074
+0.0348911
+0.033986
+0.0332008
+0.0325445
+0.0320244
+0.0316199
+0.0313625
+0.031257
+0.0312999
+0.0314708
+0.0317921
+0.0322592
+0.0328661
+0.0336027
+0.0344421
+0.0353937
+0.0364524
+0.0376089
+0.038835
+0.0401391
+0.0415179
+0.0429642
+0.0444714
+0.0459815
+0.0461899
+0.0453073
+0.0445151
+0.0438182
+0.0432212
+0.0427218
+0.0423147
+0.042018
+0.041834
+0.0417626
+0.0417856
+0.0419231
+0.0421742
+0.0425367
+0.0430076
+0.0737209
+0.0733933
+0.0731299
+0.0729314
+0.0727982
+0.0727309
+0.0727295
+0.072794
+0.0729244
+0.0731201
+0.0733808
+0.0737057
+0.074094
+0.073898
+0.0720249
+0.0701701
+0.0683353
+0.066522
+0.0647312
+0.0629589
+0.0612138
+0.0594981
+0.0578145
+0.0561659
+0.0545554
+0.0529866
+0.0514633
+0.0499895
+0.0485699
+0.0472093
+0.0459129
+0.0446827
+0.0435254
+0.0424497
+0.0414619
+0.0405684
+0.0396099
+0.0385207
+0.037528
+0.0366394
+0.0358629
+0.0352057
+0.0346748
+0.0342758
+0.0340136
+0.0338912
+0.0339007
+0.0340337
+0.0341991
+0.0339323
+0.0337886
+0.0337761
+0.0339054
+0.034175
+0.0345815
+0.0351202
+0.0357851
+0.036405
+0.0368293
+0.0373774
+0.0376718
+0.0367045
+0.0358451
+0.0351016
+0.0344815
+0.0339855
+0.0336037
+0.0333616
+0.0332624
+0.0333039
+0.0334646
+0.0337669
+0.0342071
+0.03478
+0.0354737
+0.0362711
+0.0371769
+0.0381861
+0.0392916
+0.0404647
+0.0417179
+0.0430462
+0.0444428
+0.0459014
+0.0472875
+0.0481024
+0.0472556
+0.0464966
+0.0458298
+0.0452594
+0.0447779
+0.0443896
+0.0441068
+0.0439316
+0.0438652
+0.0438915
+0.0440225
+0.0442616
+0.0446072
+0.0450568
+0.0758797
+0.0755614
+0.0753056
+0.0751128
+0.0749835
+0.0749181
+0.0749168
+0.0749794
+0.075106
+0.0752961
+0.0755492
+0.0758648
+0.0762421
+0.0749678
+0.0731221
+0.0712959
+0.0694908
+0.067704
+0.0659389
+0.0642
+0.0624895
+0.0608098
+0.0591635
+0.0575536
+0.0559831
+0.0544554
+0.0529743
+0.0515438
+0.0501682
+0.0488521
+0.0475986
+0.0464106
+0.0452975
+0.0442648
+0.0433184
+0.042464
+0.0414598
+0.0404205
+0.0394756
+0.0386319
+0.0378962
+0.0372749
+0.0367738
+0.0363978
+0.036151
+0.0360359
+0.0360448
+0.0361699
+0.036332
+0.0360809
+0.0359439
+0.0359322
+0.0360538
+0.0363074
+0.0366903
+0.0371985
+0.0378269
+0.0384496
+0.0388515
+0.0393714
+0.039479
+0.0385571
+0.0377399
+0.0370344
+0.0364472
+0.0359723
+0.0356117
+0.0353834
+0.0352899
+0.0353301
+0.0354816
+0.0357669
+0.0361828
+0.0367249
+0.0373793
+0.0381369
+0.0390015
+0.0399647
+0.0410224
+0.0421453
+0.0433499
+0.0446296
+0.0459782
+0.0473896
+0.0486487
+0.0495809
+0.0492243
+0.0484961
+0.0478572
+0.0473112
+0.0468461
+0.0464751
+0.0462051
+0.0460379
+0.0459745
+0.0460053
+0.0461303
+0.0463586
+0.0466886
+0.0471184
+0.0780401
+0.0777307
+0.0774821
+0.0772947
+0.0771691
+0.0771056
+0.0771042
+0.0771651
+0.0772881
+0.0774728
+0.0777189
+0.0780257
+0.0779227
+0.0760856
+0.0742677
+0.0724696
+0.0706876
+0.0689293
+0.0671963
+0.0654908
+0.0638149
+0.062171
+0.0605618
+0.05899
+0.0574588
+0.0559714
+0.0545315
+0.0531429
+0.0518098
+0.0505362
+0.0493216
+0.0481761
+0.0471047
+0.0461126
+0.0452049
+0.0443868
+0.0433415
+0.0423484
+0.0414474
+0.0406447
+0.0399461
+0.0393571
+0.0388829
+0.0385276
+0.0382944
+0.0381858
+0.0381942
+0.0383123
+0.0384714
+0.0382344
+0.0381033
+0.0380923
+0.038207
+0.0384464
+0.0388082
+0.039289
+0.0398845
+0.0405093
+0.040891
+0.0413852
+0.0413229
+0.0404434
+0.0396651
+0.0389945
+0.0384373
+0.0379814
+0.0376402
+0.0374242
+0.0373358
+0.0373749
+0.0375181
+0.037788
+0.0381819
+0.038696
+0.0393145
+0.0400311
+0.0408528
+0.0417733
+0.0427862
+0.0438709
+0.0450294
+0.0462627
+0.0475649
+0.0489306
+0.0500638
+0.0509702
+0.051211
+0.0505114
+0.0498984
+0.0493744
+0.048925
+0.0485699
+0.0483116
+0.0481517
+0.0480911
+0.048126
+0.0482455
+0.0484638
+0.0487796
+0.0491911
+0.0802023
+0.0799012
+0.0796594
+0.0794771
+0.079355
+0.0792932
+0.0792919
+0.0793511
+0.0794707
+0.0796504
+0.0798897
+0.0801883
+0.0790595
+0.0772494
+0.0754555
+0.0736807
+0.0719288
+0.0702015
+0.0685007
+0.0668285
+0.065187
+0.0635786
+0.0620059
+0.0604717
+0.058979
+0.0575309
+0.056131
+0.054783
+0.0534908
+0.0522542
+0.0510805
+0.0499753
+0.0489433
+0.0479892
+0.0471177
+0.0462855
+0.045251
+0.0443008
+0.0434403
+0.042675
+0.0420102
+0.0414506
+0.0410006
+0.0406638
+0.040443
+0.0403401
+0.0403481
+0.0404599
+0.0406163
+0.0403918
+0.0402661
+0.0402557
+0.0403642
+0.0405909
+0.0409338
+0.0413899
+0.0419556
+0.0425821
+0.0429453
+0.0434162
+0.0431933
+0.0423541
+0.0416133
+0.0409764
+0.0404476
+0.0400097
+0.0396858
+0.0394811
+0.0393973
+0.0394352
+0.0395711
+0.0398271
+0.040201
+0.0406822
+0.041259
+0.0419424
+0.0427274
+0.0436083
+0.0445796
+0.0456354
+0.0467513
+0.0479403
+0.0491981
+0.0505197
+0.0515333
+0.0524143
+0.0532137
+0.0525409
+0.0519517
+0.0514449
+0.0510133
+0.0506728
+0.0504253
+0.0502721
+0.0502141
+0.0502495
+0.050364
+0.0505732
+0.0508759
+0.0512705
+0.0823659
+0.0820728
+0.0818373
+0.08166
+0.0815411
+0.081481
+0.0814797
+0.0815373
+0.0816537
+0.0818286
+0.0820616
+0.0820426
+0.0802392
+0.0784502
+0.0766821
+0.0749363
+0.0732144
+0.0715182
+0.0698495
+0.0682104
+0.0666029
+0.0650296
+0.0634928
+0.0619954
+0.0605403
+0.0591305
+0.0577693
+0.0564604
+0.0552048
+0.0540064
+0.0528716
+0.0518047
+0.0508099
+0.0498914
+0.0490537
+0.0481779
+0.0471849
+0.0462744
+0.0454513
+0.0447205
+0.0440865
+0.0435536
+0.0431256
+0.0428055
+0.0425958
+0.0424981
+0.0425057
+0.0426118
+0.0427658
+0.0425527
+0.0424318
+0.0424218
+0.0425249
+0.0427401
+0.0430659
+0.0434996
+0.0440382
+0.0446661
+0.0450126
+0.045462
+0.045092
+0.0442888
+0.0435809
+0.0429732
+0.0424699
+0.0420542
+0.0417462
+0.0415516
+0.041472
+0.041508
+0.0416381
+0.0418815
+0.0422333
+0.0426769
+0.0432271
+0.0438799
+0.0446307
+0.0454748
+0.046407
+0.0474222
+0.0485109
+0.0496578
+0.0508732
+0.0521524
+0.0530526
+0.0539087
+0.0548391
+0.0545827
+0.0540159
+0.0535245
+0.0531098
+0.0527828
+0.0525452
+0.0523982
+0.0523426
+0.0523772
+0.052487
+0.0526877
+0.0529784
+0.0533575
+0.0897376
+0.0883771
+0.0870457
+0.0857496
+0.0844256
+0.0831
+0.0817814
+0.0805008
+0.0792601
+0.0780015
+0.0767487
+0.0755387
+0.0743735
+0.0732514
+0.0721505
+0.0710512
+0.0699795
+0.0689231
+0.0679042
+0.0668729
+0.0658134
+0.0648106
+0.0638621
+0.0629138
+0.0619829
+0.0611086
+0.0603013
+0.0595636
+0.0588465
+0.058134
+0.057362
+0.0566642
+0.0559778
+0.0553689
+0.0548376
+0.0543295
+0.0539006
+0.0535239
+0.0531992
+0.0529631
+0.052817
+0.0526975
+0.052493
+0.0523707
+0.052324
+0.0523375
+0.052403
+0.0525158
+0.0526752
+0.0529148
+0.0532361
+0.0536389
+0.0540993
+0.0546436
+0.0552695
+0.0559742
+0.0567454
+0.0575505
+0.0584101
+0.057942
+0.0567944
+0.0557094
+0.0546906
+0.0537419
+0.052867
+0.0520696
+0.0513534
+0.0507217
+0.0501777
+0.0497245
+0.0493644
+0.0490994
+0.0489312
+0.0488608
+0.0488885
+0.0489981
+0.0492022
+0.0495026
+0.0498974
+0.0503844
+0.0509611
+0.051613
+0.052342
+0.0531187
+0.0539365
+0.0548297
+0.0557859
+0.0568028
+0.0578848
+0.0590283
+0.0601989
+0.0613951
+0.0626452
+0.0639372
+0.0652294
+0.0665571
+0.0679265
+0.0693347
+0.0707729
+0.0722489
+0.0881042
+0.08674
+0.0853836
+0.0840619
+0.0827769
+0.0814522
+0.0801259
+0.0788184
+0.0775508
+0.0763249
+0.0750661
+0.0738285
+0.0726359
+0.0714893
+0.0703892
+0.0692886
+0.068201
+0.067152
+0.0661062
+0.0651173
+0.0640745
+0.063044
+0.0620727
+0.0611487
+0.0601988
+0.0592988
+0.0584664
+0.0577053
+0.0570082
+0.0562839
+0.0555437
+0.0548228
+0.0541336
+0.0535038
+0.0529571
+0.0524433
+0.0519988
+0.0516315
+0.0512948
+0.05105
+0.0508984
+0.0508237
+0.0506227
+0.0504991
+0.0504566
+0.0504969
+0.0505648
+0.050727
+0.0508938
+0.0511471
+0.0514795
+0.0518999
+0.0523756
+0.0529377
+0.0535835
+0.0543101
+0.0550991
+0.0559339
+0.0568125
+0.0563274
+0.0551463
+0.0540281
+0.0529771
+0.0519971
+0.0510923
+0.0502668
+0.0495244
+0.0488691
+0.0483044
+0.0478333
+0.0474589
+0.0471832
+0.0470082
+0.0469349
+0.0469637
+0.0470778
+0.0472902
+0.0476026
+0.0480131
+0.048519
+0.0491165
+0.0497857
+0.0505395
+0.0513049
+0.0521512
+0.0530745
+0.0540611
+0.0551098
+0.0562244
+0.0573716
+0.0585436
+0.059773
+0.0610386
+0.062314
+0.0636279
+0.0649852
+0.0663834
+0.0678134
+0.0692833
+0.0706982
+0.0864874
+0.085103
+0.0837459
+0.0823979
+0.0810866
+0.0798118
+0.0784877
+0.0771615
+0.0758662
+0.0746127
+0.0734032
+0.0721444
+0.0709234
+0.06975
+0.0686236
+0.0675424
+0.0664471
+0.0653734
+0.0643318
+0.0633152
+0.062359
+0.0613049
+0.0603067
+0.0593677
+0.0584345
+0.0575154
+0.0566569
+0.0558711
+0.0551612
+0.0544472
+0.0537532
+0.0530079
+0.0523162
+0.0516642
+0.0510979
+0.0505812
+0.0501202
+0.0497437
+0.0494129
+0.0491601
+0.0490026
+0.0489428
+0.0487673
+0.0486523
+0.0486093
+0.0486575
+0.0487557
+0.0489242
+0.0491456
+0.0494131
+0.0497574
+0.0501884
+0.050688
+0.0512686
+0.0519352
+0.0526845
+0.0534884
+0.0543574
+0.0552556
+0.0547529
+0.053537
+0.0523846
+0.0512998
+0.0502872
+0.049351
+0.0484959
+0.047726
+0.0470457
+0.0464587
+0.0459688
+0.045579
+0.0452919
+0.0451096
+0.0450331
+0.0450632
+0.0451821
+0.0454034
+0.0457287
+0.0461558
+0.0466819
+0.0472943
+0.0479889
+0.0487282
+0.0495216
+0.0503978
+0.0513526
+0.0523711
+0.053453
+0.0545737
+0.0557185
+0.0569246
+0.0581606
+0.059417
+0.0607154
+0.0620591
+0.0634461
+0.0648669
+0.0663297
+0.0677464
+0.0691528
+0.0848965
+0.0834856
+0.0821091
+0.080759
+0.0794207
+0.078121
+0.0768495
+0.0755318
+0.074208
+0.0729261
+0.0716881
+0.070488
+0.0692379
+0.0680354
+0.066883
+0.0657734
+0.0647058
+0.0636169
+0.0625714
+0.0615383
+0.0605541
+0.0595956
+0.0585683
+0.0576054
+0.0566992
+0.05576
+0.0548751
+0.0540634
+0.0533295
+0.0526377
+0.0519449
+0.0512225
+0.0505283
+0.049853
+0.0492659
+0.0487465
+0.048268
+0.0478793
+0.0475356
+0.0472909
+0.0471324
+0.04706
+0.0469409
+0.0468258
+0.0467911
+0.0468412
+0.046974
+0.047154
+0.0474295
+0.0477112
+0.0480734
+0.0485137
+0.0490401
+0.0496401
+0.0503282
+0.0510953
+0.0519203
+0.0528162
+0.0537426
+0.053222
+0.0519703
+0.0507823
+0.0496626
+0.0486158
+0.0476469
+0.0467606
+0.0459617
+0.0452548
+0.0446443
+0.0441342
+0.0437281
+0.0434288
+0.0432386
+0.0431588
+0.0431902
+0.0433142
+0.043545
+0.0438841
+0.044329
+0.0448765
+0.0455046
+0.0462155
+0.0469492
+0.0477722
+0.0486799
+0.0496678
+0.0507194
+0.0518099
+0.0529238
+0.0541035
+0.0553065
+0.0565414
+0.0578183
+0.0591467
+0.0605249
+0.0619352
+0.0633899
+0.0648082
+0.0662046
+0.0676431
+0.0833136
+0.0818949
+0.0804912
+0.0791231
+0.0777808
+0.0764532
+0.075166
+0.0738951
+0.0725782
+0.0712669
+0.0699996
+0.0687788
+0.0675814
+0.0663488
+0.0651666
+0.0640304
+0.0629426
+0.0618868
+0.0608129
+0.0597889
+0.0587754
+0.0578271
+0.0568611
+0.0558694
+0.0549425
+0.054028
+0.0531239
+0.0522851
+0.0515258
+0.0508496
+0.0501407
+0.0494681
+0.0487574
+0.0480734
+0.0474643
+0.0469423
+0.0464452
+0.0460436
+0.0456861
+0.0454315
+0.0452815
+0.0452049
+0.045147
+0.0450272
+0.0450061
+0.0450582
+0.0452165
+0.0454205
+0.0457064
+0.0460506
+0.0464317
+0.0468815
+0.047426
+0.0480563
+0.0487668
+0.0495482
+0.0503985
+0.051321
+0.052274
+0.0517385
+0.0504501
+0.0492254
+0.0480694
+0.0469872
+0.045984
+0.045065
+0.0442354
+0.0435005
+0.0428651
+0.0423336
+0.04191
+0.0415976
+0.0413989
+0.0413156
+0.0413484
+0.0414759
+0.0417169
+0.0420707
+0.0425346
+0.0430998
+0.0437514
+0.0444439
+0.0452064
+0.0460605
+0.0470014
+0.0480237
+0.0490862
+0.0501649
+0.0513145
+0.0524799
+0.053688
+0.0549417
+0.0562527
+0.0576171
+0.0590205
+0.060464
+0.0618857
+0.0632707
+0.0647003
+0.0661715
+0.0817423
+0.0803169
+0.0789009
+0.0775048
+0.0761462
+0.0748124
+0.0734964
+0.0722226
+0.070953
+0.0696371
+0.0683396
+0.0670886
+0.0658866
+0.0646873
+0.0634741
+0.0623144
+0.0611974
+0.0601382
+0.0590833
+0.0580388
+0.0570254
+0.0560475
+0.055131
+0.0541657
+0.0532138
+0.0523207
+0.0514046
+0.0505391
+0.0497531
+0.0490525
+0.0483684
+0.0477142
+0.0470056
+0.046329
+0.0456967
+0.0451618
+0.0446555
+0.0442403
+0.043868
+0.0436028
+0.0434466
+0.0433811
+0.0433599
+0.0432648
+0.043251
+0.0433126
+0.0434773
+0.0437163
+0.0440249
+0.0444193
+0.0448332
+0.0452965
+0.0458599
+0.0465136
+0.0472473
+0.0480513
+0.0489276
+0.0498773
+0.0508573
+0.050291
+0.0489807
+0.0477183
+0.0465249
+0.0454059
+0.0443669
+0.0434137
+0.042552
+0.0417874
+0.0411255
+0.0405713
+0.0401291
+0.0398027
+0.0395951
+0.039508
+0.0395416
+0.0396735
+0.0399253
+0.0402949
+0.0407789
+0.0413607
+0.0420178
+0.0427113
+0.0435041
+0.044391
+0.0453665
+0.0464094
+0.0474478
+0.048563
+0.0496858
+0.050859
+0.0520905
+0.0533816
+0.05473
+0.0561201
+0.0575541
+0.058979
+0.0603533
+0.0617727
+0.0632361
+0.0647184
+0.0802001
+0.0787468
+0.0773282
+0.0759152
+0.0745276
+0.0731792
+0.0718549
+0.0705518
+0.0692902
+0.0680248
+0.0667087
+0.0654265
+0.0641935
+0.0630125
+0.0618118
+0.0606203
+0.0594817
+0.0583914
+0.0573641
+0.0563093
+0.0552991
+0.054298
+0.0533601
+0.0524707
+0.0515156
+0.0505975
+0.0497136
+0.048829
+0.0480151
+0.0472887
+0.0466318
+0.0459529
+0.0452851
+0.0446221
+0.0439664
+0.0434102
+0.0429031
+0.0424717
+0.0420855
+0.041809
+0.041646
+0.041592
+0.0415706
+0.0415432
+0.0415288
+0.0416092
+0.0417714
+0.0420342
+0.0423858
+0.0427942
+0.0432778
+0.0437638
+0.0443466
+0.0450223
+0.0457799
+0.0466092
+0.0475121
+0.0484896
+0.0494971
+0.048877
+0.0475501
+0.0462659
+0.045034
+0.043877
+0.0428009
+0.041812
+0.0409166
+0.0401209
+0.039431
+0.0388526
+0.0383906
+0.0380493
+0.037832
+0.0377409
+0.0377739
+0.0379119
+0.0381754
+0.0385617
+0.0390672
+0.0396664
+0.0402999
+0.0410224
+0.0418473
+0.0427686
+0.0437802
+0.0447803
+0.045855
+0.0469243
+0.0480632
+0.0492692
+0.0505374
+0.0518646
+0.0532339
+0.0546567
+0.0560819
+0.0574547
+0.0588625
+0.060317
+0.0617947
+0.0633041
+0.0786887
+0.0772069
+0.0757595
+0.0743484
+0.0729382
+0.0715599
+0.0702228
+0.0689097
+0.0676209
+0.0663723
+0.0651087
+0.0637943
+0.0625291
+0.0613161
+0.0601584
+0.0589589
+0.0577916
+0.0566754
+0.0556164
+0.0545987
+0.0535707
+0.0525815
+0.0516124
+0.0507111
+0.0498557
+0.0489117
+0.0480364
+0.0471557
+0.0463154
+0.0455619
+0.0449028
+0.0442298
+0.0436068
+0.0429179
+0.0422731
+0.0416943
+0.0411926
+0.0407337
+0.0403432
+0.0400546
+0.0398845
+0.03983
+0.0398215
+0.0398506
+0.0398137
+0.0398957
+0.0400895
+0.0403633
+0.0407458
+0.0412214
+0.0417444
+0.042289
+0.0428919
+0.0435901
+0.0443722
+0.0452273
+0.0461573
+0.0471628
+0.0481981
+0.047522
+0.0461561
+0.0448556
+0.0436022
+0.0424061
+0.0412917
+0.0402658
+0.0393352
+0.0385068
+0.0377875
+0.0371835
+0.0367005
+0.0363434
+0.0361158
+0.0360203
+0.0360526
+0.0361972
+0.0364731
+0.0368773
+0.0373998
+0.0379882
+0.0386299
+0.0393831
+0.0402416
+0.0411988
+0.0421716
+0.0431849
+0.0442054
+0.0453068
+0.0464831
+0.0477248
+0.0490215
+0.0503728
+0.0517815
+0.0532073
+0.0545658
+0.0559725
+0.0574166
+0.0588865
+0.0603861
+0.0619269
+0.077195
+0.0756991
+0.0742223
+0.0727814
+0.0713788
+0.0699702
+0.0686022
+0.0672777
+0.0659786
+0.0647055
+0.0634714
+0.0621965
+0.0608981
+0.0596519
+0.0584613
+0.0573297
+0.056132
+0.0549918
+0.0539011
+0.0528773
+0.0518645
+0.0508653
+0.0498997
+0.0489756
+0.0481057
+0.0472673
+0.046361
+0.0455152
+0.0446585
+0.0438766
+0.0431918
+0.0425499
+0.0419194
+0.0412596
+0.0406273
+0.0400248
+0.0395289
+0.0390393
+0.0386438
+0.0383424
+0.0381647
+0.0381105
+0.0381108
+0.0381626
+0.0381422
+0.0382278
+0.0384383
+0.0387394
+0.0391411
+0.0396407
+0.04025
+0.0408701
+0.0415019
+0.0422231
+0.0430301
+0.0439113
+0.0448686
+0.0459023
+0.0469654
+0.0462311
+0.0448259
+0.0434857
+0.0422167
+0.0409985
+0.0398447
+0.0387805
+0.0378134
+0.0369509
+0.0362007
+0.0355697
+0.0350645
+0.0346906
+0.0344521
+0.034352
+0.0343848
+0.0345364
+0.0348255
+0.0352485
+0.0357718
+0.0363441
+0.0370142
+0.0377996
+0.0386932
+0.0396272
+0.0405653
+0.0415396
+0.0425973
+0.043739
+0.0449484
+0.0462112
+0.0475414
+0.0489336
+0.0503584
+0.0516989
+0.0530959
+0.054538
+0.0559878
+0.0574795
+0.0590149
+0.0605906
+0.0757136
+0.0742098
+0.0727186
+0.0712473
+0.0698138
+0.0684137
+0.067014
+0.0656575
+0.064347
+0.0630635
+0.0618071
+0.0605827
+0.0593032
+0.0580227
+0.056798
+0.0556325
+0.0545099
+0.0533352
+0.0522214
+0.051164
+0.05018
+0.0491734
+0.0482055
+0.0472689
+0.0463874
+0.0455621
+0.0447302
+0.0438809
+0.043045
+0.0422376
+0.0415258
+0.0409182
+0.0402622
+0.0396283
+0.0390129
+0.0384076
+0.0378965
+0.0373964
+0.0369951
+0.0366802
+0.0364943
+0.0364395
+0.0364419
+0.0364888
+0.036521
+0.0366128
+0.0368326
+0.0371614
+0.0375922
+0.0381122
+0.0387492
+0.0394977
+0.0401741
+0.0409278
+0.0417597
+0.0426672
+0.0436518
+0.0447137
+0.0458043
+0.0450099
+0.0435653
+0.0421851
+0.0408757
+0.0396288
+0.0384636
+0.0373647
+0.0363599
+0.0354621
+0.0346797
+0.0340206
+0.033492
+0.0331003
+0.0328503
+0.0327453
+0.0327786
+0.0329376
+0.0332406
+0.0336661
+0.0341864
+0.0347602
+0.0354603
+0.0362794
+0.037161
+0.0380176
+0.0389378
+0.0399443
+0.0410431
+0.042208
+0.04344
+0.0447454
+0.0461179
+0.0475349
+0.0488547
+0.0502353
+0.0516719
+0.0531116
+0.054594
+0.0561229
+0.0576944
+0.0592905
+0.0741464
+0.0727328
+0.0712343
+0.0697483
+0.0682833
+0.0668581
+0.0654606
+0.0640712
+0.0627275
+0.0614327
+0.0601666
+0.0589262
+0.0577112
+0.0564316
+0.0551715
+0.0539709
+0.052834
+0.0517182
+0.0505735
+0.0494884
+0.0484703
+0.047506
+0.046523
+0.0456011
+0.044698
+0.0438536
+0.0430911
+0.042262
+0.0414393
+0.0406507
+0.0399106
+0.0392746
+0.0386517
+0.0380441
+0.0374206
+0.0368498
+0.0363168
+0.0358123
+0.0354038
+0.0350761
+0.0348817
+0.0348242
+0.0348309
+0.0348653
+0.0349015
+0.0350466
+0.0352762
+0.0356359
+0.0360912
+0.0366508
+0.0373128
+0.0380895
+0.03891
+0.0396933
+0.0405573
+0.0415016
+0.0425131
+0.0436028
+0.0447205
+0.0438642
+0.0423805
+0.0409604
+0.0396105
+0.0383225
+0.0371163
+0.0360032
+0.0349834
+0.0340493
+0.0332336
+0.0325452
+0.0319923
+0.031582
+0.0313199
+0.0312097
+0.0312436
+0.0314104
+0.031719
+0.0321252
+0.0326449
+0.0332454
+0.0339767
+0.0347867
+0.0355575
+0.0364085
+0.0373561
+0.0383937
+0.0395206
+0.040716
+0.0419918
+0.0433408
+0.0447478
+0.0460432
+0.0474045
+0.0488261
+0.0502618
+0.0517331
+0.053254
+0.0548202
+0.0564218
+0.0580426
+0.0726077
+0.0711634
+0.0697581
+0.0682696
+0.0667896
+0.0653318
+0.0639158
+0.0625214
+0.0611437
+0.0598146
+0.0585372
+0.0572908
+0.0560681
+0.0548644
+0.0535852
+0.0523483
+0.0511753
+0.0500707
+0.0489633
+0.0478529
+0.0468008
+0.0458278
+0.0448745
+0.0439281
+0.0430445
+0.0421896
+0.0413966
+0.040661
+0.0398781
+0.0390822
+0.0383525
+0.037678
+0.0370909
+0.0364974
+0.0358726
+0.0353241
+0.0348034
+0.0342949
+0.0338673
+0.0335384
+0.033335
+0.0332749
+0.0332862
+0.0332568
+0.0332946
+0.0334536
+0.0337215
+0.0341071
+0.0346212
+0.035213
+0.0359273
+0.0367499
+0.0376474
+0.0385381
+0.0394384
+0.0404201
+0.0414591
+0.0425757
+0.0437197
+0.0428
+0.0412781
+0.0398186
+0.0384287
+0.0370996
+0.0358524
+0.0346987
+0.0336482
+0.0327085
+0.0318726
+0.0311542
+0.0305761
+0.0301465
+0.0298718
+0.0297562
+0.02978
+0.0299413
+0.0302302
+0.0306561
+0.0311813
+0.0318093
+0.0325309
+0.0331891
+0.0339583
+0.0348398
+0.0358164
+0.0368974
+0.0380493
+0.0392895
+0.0406101
+0.0420006
+0.0432709
+0.0446092
+0.0460129
+0.0474432
+0.0489012
+0.0504122
+0.0519717
+0.0535738
+0.0551963
+0.0568517
+0.0711028
+0.0696276
+0.0681906
+0.0667946
+0.0653174
+0.0638442
+0.0623945
+0.060989
+0.0595983
+0.0582339
+0.0569211
+0.0556636
+0.0544394
+0.0532368
+0.0520425
+0.0507683
+0.0495579
+0.0484165
+0.0473489
+0.0462519
+0.0451758
+0.044167
+0.0432458
+0.0423025
+0.0413991
+0.0405494
+0.0397409
+0.0390211
+0.0383211
+0.0375593
+0.036835
+0.0361437
+0.0355563
+0.0349777
+0.0343946
+0.0338457
+0.0333568
+0.0328537
+0.0323973
+0.0320662
+0.0318639
+0.0318011
+0.0318099
+0.0316984
+0.0317381
+0.0318975
+0.0321637
+0.0325613
+0.0330995
+0.0337173
+0.0344625
+0.0353091
+0.0362536
+0.037303
+0.0384072
+0.0394192
+0.0404962
+0.0416386
+0.0428077
+0.0418235
+0.0402648
+0.0387672
+0.0373381
+0.0359688
+0.0346808
+0.0334868
+0.0323971
+0.0314225
+0.0305695
+0.02985
+0.0292481
+0.0287987
+0.028511
+0.0283765
+0.0283771
+0.0285281
+0.0288311
+0.0292639
+0.0297959
+0.030414
+0.0309429
+0.031615
+0.0324215
+0.0333279
+0.0343475
+0.0354528
+0.0366499
+0.0379359
+0.0392949
+0.0405458
+0.0418566
+0.0432387
+0.0446615
+0.0461034
+0.0476025
+0.0491535
+0.0507517
+0.0523733
+0.0540319
+0.0556869
+0.0695715
+0.0681263
+0.0666583
+0.0652295
+0.063844
+0.0623793
+0.0609139
+0.0594735
+0.058079
+0.0566939
+0.0553446
+0.0540504
+0.0528154
+0.0516147
+0.0504279
+0.0492352
+0.0479861
+0.0468063
+0.0457012
+0.0446762
+0.0435921
+0.0425543
+0.0415973
+0.0407113
+0.0397837
+0.0389376
+0.0381356
+0.0373849
+0.0367125
+0.036014
+0.0353511
+0.03468
+0.0340673
+0.0335324
+0.0329922
+0.0324234
+0.03196
+0.0314979
+0.0310113
+0.0306652
+0.0304669
+0.0304012
+0.0303355
+0.0302186
+0.0302602
+0.0304054
+0.0306765
+0.0310932
+0.0316403
+0.0322852
+0.0330627
+0.0339326
+0.0349144
+0.0359949
+0.0371643
+0.0384078
+0.0396145
+0.0407829
+0.0419902
+0.0409411
+0.0393474
+0.0378135
+0.036347
+0.0349388
+0.0336114
+0.032378
+0.0312497
+0.0302381
+0.0293555
+0.0286065
+0.0279794
+0.0275093
+0.027208
+0.0270746
+0.0270571
+0.0272155
+0.0275174
+0.0279418
+0.028443
+0.0288548
+0.0294117
+0.0301181
+0.0309309
+0.0318735
+0.0329201
+0.0340657
+0.0353101
+0.0366344
+0.0378781
+0.0391556
+0.0405114
+0.0419243
+0.0433465
+0.0448308
+0.046371
+0.0479618
+0.0495832
+0.0512384
+0.0528816
+0.0545358
+0.0680451
+0.0665981
+0.0651604
+0.0637014
+0.0622818
+0.0609079
+0.0594574
+0.057999
+0.0565713
+0.0551815
+0.053811
+0.052479
+0.0512062
+0.0499969
+0.048817
+0.0476495
+0.0464645
+0.045245
+0.0441007
+0.0430376
+0.042057
+0.0409936
+0.0400009
+0.0391043
+0.0382215
+0.0373399
+0.036564
+0.0358081
+0.0350985
+0.0343653
+0.0337108
+0.0331416
+0.0326037
+0.0321558
+0.031621
+0.0310895
+0.0305882
+0.0301962
+0.0297222
+0.029361
+0.0291539
+0.0290851
+0.0288992
+0.0288086
+0.0288366
+0.0289937
+0.0292779
+0.0297142
+0.0302556
+0.0309293
+0.0317272
+0.032634
+0.0336355
+0.0347417
+0.0359254
+0.0372005
+0.038558
+0.0399895
+0.041273
+0.0401589
+0.0385329
+0.0369652
+0.0354636
+0.0340189
+0.0326542
+0.0313831
+0.0302177
+0.0291704
+0.0282544
+0.027479
+0.0268219
+0.0263311
+0.0260161
+0.0258542
+0.0258382
+0.0260007
+0.026313
+0.0266456
+0.0269278
+0.0273822
+0.0279545
+0.028661
+0.0295136
+0.030481
+0.0315631
+0.0327561
+0.0340481
+0.0352808
+0.0365178
+0.0378412
+0.0392289
+0.0406389
+0.0421045
+0.043631
+0.0452121
+0.0468318
+0.048482
+0.0501108
+0.0517609
+0.0534419
+0.0665559
+0.0650757
+0.0636365
+0.062207
+0.0607584
+0.0593493
+0.0579887
+0.0565543
+0.0550975
+0.053688
+0.0523071
+0.0509534
+0.0496415
+0.0483931
+0.0472135
+0.0460463
+0.0449074
+0.0437377
+0.0425529
+0.0414501
+0.040436
+0.0394793
+0.0384631
+0.0375297
+0.0366854
+0.0358051
+0.0349999
+0.0342391
+0.0334889
+0.0327597
+0.0321227
+0.0315411
+0.0310419
+0.0305958
+0.0301587
+0.0296148
+0.0290635
+0.0286506
+0.0284011
+0.028167
+0.027951
+0.0277839
+0.0275171
+0.027422
+0.0274689
+0.027655
+0.027981
+0.028404
+0.0289481
+0.0296234
+0.0304416
+0.0313634
+0.0324042
+0.0335323
+0.0347572
+0.0360736
+0.037472
+0.0389435
+0.04048
+0.0394778
+0.0378225
+0.0362241
+0.0346904
+0.0332182
+0.0318191
+0.0305134
+0.0293133
+0.0282325
+0.0272851
+0.0264814
+0.0257988
+0.0252882
+0.0249437
+0.0247677
+0.0247513
+0.0249101
+0.0249026
+0.0250663
+0.0254026
+0.0259087
+0.0265276
+0.0272945
+0.0281718
+0.0291601
+0.0302584
+0.0314457
+0.032732
+0.0339403
+0.0352244
+0.0365947
+0.0379909
+0.0394333
+0.0409422
+0.0425104
+0.0441263
+0.0457692
+0.0473806
+0.0490247
+0.0507018
+0.0524071
+0.0651015
+0.0635923
+0.0621188
+0.0606885
+0.0592685
+0.0578317
+0.0564346
+0.0550877
+0.0536669
+0.0522187
+0.0508237
+0.0494596
+0.0481232
+0.0468346
+0.045614
+0.0444679
+0.04332
+0.0421928
+0.0410636
+0.0399197
+0.0388657
+0.0379091
+0.0369816
+0.0360196
+0.0351336
+0.0342419
+0.0334127
+0.0326134
+0.0318961
+0.0312254
+0.0305564
+0.0300106
+0.0295255
+0.0290844
+0.0285452
+0.0281134
+0.0276175
+0.0271827
+0.0269196
+0.0268235
+0.0268129
+0.026525
+0.0262454
+0.0261456
+0.0261968
+0.0263918
+0.0267521
+0.027161
+0.027707
+0.0284118
+0.0292433
+0.0301979
+0.0312479
+0.0324111
+0.0336768
+0.0350338
+0.0364721
+0.0379823
+0.0395539
+0.0388896
+0.0372082
+0.0355821
+0.0340195
+0.0325295
+0.0311162
+0.0297796
+0.0285488
+0.0274379
+0.026462
+0.0256325
+0.0249267
+0.0243949
+0.0240164
+0.023823
+0.0234601
+0.0232778
+0.0232697
+0.0234412
+0.0238004
+0.0243468
+0.0250041
+0.0257977
+0.0267452
+0.0277917
+0.0289101
+0.0301454
+0.0314489
+0.0326841
+0.0340156
+0.0354123
+0.036829
+0.0383151
+0.0398663
+0.0414726
+0.0431085
+0.0446984
+0.0463341
+0.0480053
+0.0497066
+0.0514449
+0.0636793
+0.0621454
+0.0606422
+0.0591763
+0.0577563
+0.056347
+0.0549238
+0.0535404
+0.0522081
+0.0508014
+0.0493663
+0.0479884
+0.0466414
+0.0453246
+0.0440623
+0.0428747
+0.0417563
+0.040647
+0.039532
+0.0384401
+0.0373442
+0.0363475
+0.0353709
+0.034444
+0.0335356
+0.0326373
+0.0318147
+0.0310493
+0.0303431
+0.029667
+0.0290301
+0.0285187
+0.0280145
+0.0276065
+0.0269853
+0.0265282
+0.0262437
+0.0258174
+0.0255403
+0.0254489
+0.0255115
+0.0253577
+0.0250637
+0.0249592
+0.0250466
+0.0252538
+0.0256128
+0.0260164
+0.0265668
+0.0272661
+0.0281167
+0.0291003
+0.030193
+0.0314003
+0.0327074
+0.0341032
+0.0355791
+0.0371161
+0.0387081
+0.0384175
+0.0367144
+0.0350655
+0.0334788
+0.0319636
+0.0305304
+0.0291846
+0.0279355
+0.0267992
+0.0257992
+0.0249401
+0.0241999
+0.0235843
+0.02284
+0.0222749
+0.0218771
+0.0216909
+0.021709
+0.0219149
+0.0222987
+0.0228723
+0.0235682
+0.0244061
+0.0254055
+0.0264944
+0.0276639
+0.0289311
+0.0302479
+0.0315302
+0.0329084
+0.034303
+0.0357636
+0.0372923
+0.0388769
+0.0405027
+0.0420734
+0.0436975
+0.0453602
+0.0470551
+0.0487868
+0.0505138
+0.0623017
+0.060733
+0.0592038
+0.0577076
+0.0562506
+0.0548423
+0.0534454
+0.0520373
+0.0506704
+0.0493549
+0.0479648
+0.0465455
+0.0451877
+0.0438589
+0.0425667
+0.0413362
+0.0401875
+0.0390991
+0.0380385
+0.0369377
+0.0358467
+0.0347834
+0.033748
+0.0328019
+0.0319178
+0.0310694
+0.0302445
+0.0295084
+0.0288223
+0.0281099
+0.027515
+0.0269976
+0.0265694
+0.0260904
+0.0255118
+0.0250277
+0.024729
+0.0245719
+0.0242805
+0.0241849
+0.0242532
+0.0242055
+0.0239361
+0.0238499
+0.0239413
+0.0242313
+0.024565
+0.0249489
+0.0255105
+0.0262353
+0.0271116
+0.028111
+0.0292406
+0.0304824
+0.0317956
+0.0331748
+0.0346366
+0.036172
+0.0377721
+0.0380658
+0.0363463
+0.0346799
+0.0330747
+0.03154
+0.0300867
+0.0287201
+0.0274564
+0.0263148
+0.0251139
+0.0239836
+0.0229459
+0.0220772
+0.0213583
+0.0207978
+0.0203958
+0.0201959
+0.0202265
+0.0204532
+0.0208732
+0.0215002
+0.0222527
+0.0231385
+0.0241591
+0.0252706
+0.0264957
+0.0278253
+0.0291622
+0.0304868
+0.0318765
+0.033301
+0.0348031
+0.0363579
+0.0379669
+0.039517
+0.0411253
+0.0427759
+0.0444614
+0.0461674
+0.04789
+0.0496305
+0.0609102
+0.0593673
+0.0578026
+0.0562791
+0.054791
+0.0533443
+0.0519496
+0.0505672
+0.0491753
+0.0478288
+0.0465331
+0.0451627
+0.0437621
+0.0424284
+0.0411215
+0.0398587
+0.0386662
+0.0375636
+0.0365115
+0.0354453
+0.0343026
+0.0332057
+0.0321791
+0.0312062
+0.03032
+0.0294507
+0.0286344
+0.0279214
+0.0272394
+0.0266411
+0.0260479
+0.025558
+0.0251734
+0.0246141
+0.0240664
+0.0236257
+0.023309
+0.0231769
+0.0229196
+0.0227763
+0.0228037
+0.0227799
+0.0227805
+0.0228025
+0.0228982
+0.0232012
+0.0234888
+0.0238984
+0.0244708
+0.0251888
+0.0260612
+0.027079
+0.028191
+0.0294179
+0.0307503
+0.0321732
+0.0336785
+0.0352377
+0.0368524
+0.0374106
+0.0356335
+0.0339048
+0.0322301
+0.0305926
+0.0290281
+0.0275273
+0.02611
+0.0248055
+0.023616
+0.0224724
+0.021489
+0.0205831
+0.0198334
+0.0192775
+0.0189594
+0.0187863
+0.0188257
+0.0191009
+0.0195739
+0.0202411
+0.0210748
+0.0219458
+0.0229684
+0.0241125
+0.0253868
+0.0267673
+0.028184
+0.0295492
+0.0309511
+0.0324094
+0.0339314
+0.0354577
+0.0369771
+0.0385527
+0.0401861
+0.0418703
+0.043518
+0.0451635
+0.0468536
+0.0485838
+0.0595432
+0.0579727
+0.0564346
+0.0548906
+0.0533739
+0.0518955
+0.0504608
+0.049082
+0.0477165
+0.0463427
+0.0450211
+0.0437487
+0.0424017
+0.0410238
+0.0397191
+0.038439
+0.0372117
+0.0360647
+0.0350134
+0.0338609
+0.0327641
+0.0316539
+0.0306075
+0.0296584
+0.0287326
+0.0278589
+0.0270707
+0.0263391
+0.0257028
+0.025148
+0.024651
+0.0242047
+0.023632
+0.0231194
+0.022649
+0.0222559
+0.0220158
+0.0216561
+0.0214063
+0.0212895
+0.0213567
+0.0213896
+0.0213902
+0.0216038
+0.0220021
+0.0221851
+0.0223399
+0.0227053
+0.0232721
+0.0240243
+0.0249078
+0.0259125
+0.0270571
+0.0283244
+0.0296755
+0.0311177
+0.0326418
+0.0342357
+0.0358814
+0.0363172
+0.0345306
+0.0327552
+0.0310208
+0.0293378
+0.0277146
+0.0261615
+0.0247026
+0.0233239
+0.0220741
+0.0209542
+0.0199467
+0.019088
+0.0184124
+0.0178439
+0.0175003
+0.0173833
+0.0175321
+0.0178629
+0.0183847
+0.0191101
+0.0199683
+0.0208558
+0.0218903
+0.023084
+0.024412
+0.0258451
+0.0273174
+0.0286985
+0.0300846
+0.0314132
+0.0328344
+0.0343365
+0.0359034
+0.0375242
+0.0391419
+0.0407286
+0.0423691
+0.0440576
+0.0457886
+0.0475251
+0.0582193
+0.0566174
+0.0550529
+0.0535205
+0.0520002
+0.0504917
+0.0490247
+0.0476044
+0.0462442
+0.0448986
+0.0435461
+0.042254
+0.0410021
+0.0396867
+0.0383366
+0.0370667
+0.0358236
+0.0346395
+0.0335477
+0.0323368
+0.0312007
+0.0301227
+0.029076
+0.0281033
+0.0272068
+0.0263079
+0.0255194
+0.0248359
+0.0242124
+0.0236785
+0.0232252
+0.0226703
+0.022083
+0.0216115
+0.02125
+0.020913
+0.0204383
+0.0201279
+0.0199242
+0.0198587
+0.0199854
+0.0201032
+0.0201208
+0.0203586
+0.0207883
+0.0209832
+0.021102
+0.0214452
+0.0219981
+0.0227125
+0.0236092
+0.0246667
+0.0258664
+0.0271706
+0.0285712
+0.0300664
+0.031617
+0.0332363
+0.0349179
+0.0352541
+0.0334179
+0.0316267
+0.0298715
+0.0281742
+0.0264861
+0.0248739
+0.0233541
+0.0219302
+0.0206083
+0.019431
+0.0183972
+0.0175681
+0.0168738
+0.0164155
+0.0161438
+0.0160878
+0.016242
+0.0166356
+0.0172667
+0.0180796
+0.0190105
+0.0199003
+0.0209819
+0.0222245
+0.0236009
+0.0250809
+0.0264741
+0.0276449
+0.0289212
+0.0303009
+0.0317718
+0.0333219
+0.0349049
+0.0364127
+0.037987
+0.03962
+0.0413046
+0.0430349
+0.0447462
+0.0464788
+0.0568549
+0.0552915
+0.053711
+0.0521533
+0.0506282
+0.049135
+0.0476365
+0.0461834
+0.04478
+0.0434419
+0.04212
+0.0407931
+0.039536
+0.0383037
+0.0370107
+0.0356993
+0.0344715
+0.0332268
+0.032025
+0.0308819
+0.0296954
+0.0286125
+0.0275746
+0.0266092
+0.025662
+0.0248264
+0.0240286
+0.0233404
+0.022767
+0.0223054
+0.0217408
+0.0210762
+0.0206001
+0.0201611
+0.019812
+0.0193486
+0.0188612
+0.0185806
+0.0184831
+0.0185067
+0.0186741
+0.0187754
+0.0188747
+0.0192247
+0.0195814
+0.0196675
+0.0197943
+0.0201597
+0.0207469
+0.0215029
+0.0224179
+0.0234913
+0.0247127
+0.0260613
+0.0275185
+0.0290518
+0.03065
+0.0323178
+0.0340218
+0.0342981
+0.0324078
+0.0305576
+0.0287552
+0.027003
+0.025303
+0.0236837
+0.0220978
+0.0206084
+0.0192346
+0.0180062
+0.0169317
+0.0160322
+0.0153877
+0.0149498
+0.0147335
+0.0148322
+0.0150392
+0.0155233
+0.0162442
+0.0171564
+0.0181041
+0.0190525
+0.0201796
+0.0214718
+0.0229009
+0.0241716
+0.0253442
+0.0265554
+0.0278816
+0.0293103
+0.0308285
+0.0322636
+0.0337473
+0.0353045
+0.0369262
+0.0385963
+0.0402703
+0.0419748
+0.043722
+0.0453884
+0.0554592
+0.053938
+0.0523792
+0.0508272
+0.0492735
+0.0477566
+0.0462937
+0.0448137
+0.0433772
+0.0419943
+0.0406825
+0.0393892
+0.0380932
+0.0368773
+0.0356588
+0.0343438
+0.0330975
+0.0317808
+0.0305273
+0.0293792
+0.0282556
+0.0271303
+0.0261007
+0.0251287
+0.0241836
+0.023319
+0.0225983
+0.0219419
+0.0213895
+0.0209291
+0.0201653
+0.019563
+0.0190837
+0.0187708
+0.0183455
+0.0177519
+0.0173618
+0.0171204
+0.0170658
+0.0171759
+0.017464
+0.0174698
+0.0176819
+0.0180632
+0.0182621
+0.0184945
+0.0186397
+0.0189784
+0.0195492
+0.0203234
+0.0212863
+0.022414
+0.023691
+0.0250909
+0.026587
+0.0281404
+0.0297251
+0.0313829
+0.0331026
+0.033384
+0.0314683
+0.0295907
+0.0277483
+0.0259358
+0.024186
+0.0224921
+0.0208828
+0.0193732
+0.017962
+0.0166539
+0.0155457
+0.0146381
+0.0139272
+0.0135037
+0.013384
+0.0134789
+0.0138454
+0.0144983
+0.0152926
+0.0163103
+0.0173008
+0.0182276
+0.0192583
+0.0204285
+0.0217569
+0.0228735
+0.0240995
+0.0254349
+0.0268313
+0.0283132
+0.0297108
+0.031162
+0.0326956
+0.0342768
+0.035879
+0.0375398
+0.0392517
+0.0408939
+0.0425522
+0.0442569
+0.054022
+0.0525242
+0.0510425
+0.0494894
+0.0479702
+0.0464149
+0.0449083
+0.0434599
+0.0420297
+0.0406134
+0.0392555
+0.0379729
+0.0367167
+0.0354584
+0.0342178
+0.03289
+0.0316173
+0.0304086
+0.029112
+0.0279107
+0.0268303
+0.0257074
+0.0246603
+0.0237088
+0.0227764
+0.0218914
+0.0211618
+0.0205759
+0.0200311
+0.0193619
+0.0186535
+0.0180461
+0.017632
+0.0173595
+0.0168027
+0.0162269
+0.0158608
+0.0157197
+0.0157668
+0.0159027
+0.0161534
+0.0161654
+0.016441
+0.0167905
+0.016975
+0.0172483
+0.0175381
+0.0178977
+0.0185018
+0.0193129
+0.0203143
+0.0214768
+0.0227338
+0.0241162
+0.0256116
+0.0271802
+0.0288178
+0.0305241
+0.0322602
+0.0325681
+0.030617
+0.0286838
+0.0267861
+0.0249343
+0.0231417
+0.0214231
+0.0197653
+0.0181631
+0.0166952
+0.0153999
+0.0142713
+0.0133261
+0.0125774
+0.0121177
+0.0119214
+0.0121244
+0.0126604
+0.0134717
+0.0144014
+0.0155059
+0.016121
+0.0169874
+0.0180392
+0.0192835
+0.0204583
+0.0215806
+0.022825
+0.0241745
+0.0255855
+0.0270374
+0.0285594
+0.0301209
+0.0316358
+0.0332199
+0.0348697
+0.0365027
+0.038101
+0.0397552
+0.041437
+0.0431246
+0.0525955
+0.0510985
+0.0496092
+0.0481521
+0.0466251
+0.0451223
+0.043589
+0.0420953
+0.0406648
+0.0392913
+0.0378927
+0.0365657
+0.0353083
+0.0341163
+0.0328364
+0.0314705
+0.0301789
+0.0289655
+0.0277534
+0.0265367
+0.0254026
+0.0243288
+0.0232853
+0.0222654
+0.0213712
+0.0205403
+0.0197958
+0.0192377
+0.0184182
+0.0176936
+0.0170866
+0.0166389
+0.0162167
+0.0157952
+0.0152148
+0.0147004
+0.0143985
+0.0143024
+0.014386
+0.0145719
+0.0149236
+0.0149868
+0.0152941
+0.0154777
+0.0156307
+0.0159792
+0.0164881
+0.0168149
+0.0174134
+0.0182567
+0.0192792
+0.0204451
+0.0217512
+0.0231357
+0.0246172
+0.0261983
+0.0278617
+0.0295926
+0.031381
+0.0315755
+0.0296591
+0.0277833
+0.0259413
+0.0240513
+0.0221875
+0.0203888
+0.0186741
+0.0170557
+0.0155462
+0.0141892
+0.0130138
+0.0120226
+0.0112044
+0.010737
+0.0106166
+0.0108937
+0.0114606
+0.0123921
+0.0133625
+0.0143495
+0.0149934
+0.0158187
+0.0168867
+0.0181403
+0.019179
+0.020316
+0.0215631
+0.0228988
+0.024292
+0.0257694
+0.0273145
+0.0289017
+0.0305419
+0.0321731
+0.0337575
+0.0353583
+0.0369986
+0.0386317
+0.0403177
+0.0420024
+0.0511617
+0.0496896
+0.0481967
+0.0467176
+0.0452742
+0.0437826
+0.0422921
+0.0408027
+0.0393251
+0.0379167
+0.0365853
+0.035224
+0.0339341
+0.0327203
+0.0314081
+0.0301026
+0.0287946
+0.0275386
+0.0263317
+0.0251324
+0.0240382
+0.0229494
+0.0218714
+0.0208605
+0.0199494
+0.0191963
+0.0185322
+0.0177384
+0.0168109
+0.0160817
+0.0154928
+0.0150764
+0.0148538
+0.0141431
+0.0136213
+0.0131546
+0.0129029
+0.0128844
+0.0130551
+0.0133381
+0.013546
+0.0137291
+0.0141299
+0.0142575
+0.0144148
+0.0147346
+0.0153327
+0.0157826
+0.0163725
+0.0171589
+0.0181769
+0.019362
+0.0206616
+0.0220925
+0.0236375
+0.0252723
+0.026957
+0.0287011
+0.0304682
+0.030655
+0.0287168
+0.0267925
+0.0248935
+0.0230463
+0.0212282
+0.019397
+0.0176421
+0.0159854
+0.0144709
+0.0130261
+0.0117711
+0.0107652
+0.00999881
+0.0095531
+0.00947167
+0.0098132
+0.0105338
+0.0113511
+0.0122276
+0.0131233
+0.0137689
+0.0146598
+0.0157518
+0.0168727
+0.0179512
+0.0190709
+0.0202994
+0.0216281
+0.0230384
+0.0245363
+0.0260839
+0.0276855
+0.029362
+0.0310605
+0.0326586
+0.0342396
+0.0358728
+0.0374963
+0.0391751
+0.0409023
+0.0497829
+0.0482688
+0.0468083
+0.045321
+0.0438471
+0.0424242
+0.0409771
+0.0395012
+0.0380462
+0.0366076
+0.0351714
+0.0337534
+0.032408
+0.0311366
+0.0299421
+0.0286893
+0.0274377
+0.0261446
+0.0248843
+0.023686
+0.0225398
+0.0214751
+0.02049
+0.0194842
+0.0186141
+0.0178567
+0.0171527
+0.0161529
+0.0152786
+0.0145063
+0.0139989
+0.0135896
+0.013188
+0.0124921
+0.0120339
+0.0116232
+0.0114239
+0.0114867
+0.0117467
+0.0122112
+0.0122882
+0.0125326
+0.0129131
+0.013062
+0.0132643
+0.0135772
+0.0142077
+0.014683
+0.0152599
+0.0161008
+0.0170832
+0.0182665
+0.0196238
+0.0210981
+0.022664
+0.0242941
+0.0260066
+0.0277765
+0.029566
+0.0298096
+0.0278237
+0.0258593
+0.0239325
+0.0220453
+0.0201916
+0.0183941
+0.016621
+0.0148682
+0.0132464
+0.011799
+0.0105304
+0.00947867
+0.00871133
+0.00836389
+0.0085171
+0.00903019
+0.00956869
+0.0101582
+0.0110153
+0.0119812
+0.0125613
+0.0134215
+0.0145383
+0.0156571
+0.01669
+0.0177848
+0.0190515
+0.0203914
+0.0218069
+0.023299
+0.0248855
+0.0265063
+0.0281862
+0.0298398
+0.0315116
+0.0331018
+0.0347167
+0.0363919
+0.0380845
+0.0397476
+0.0484631
+0.0469074
+0.0454031
+0.0439566
+0.0424749
+0.0410048
+0.0395161
+0.0380466
+0.0365337
+0.0350924
+0.0336749
+0.0322285
+0.0308289
+0.0295127
+0.0282764
+0.0270752
+0.0258936
+0.024635
+0.0233947
+0.0222142
+0.0210724
+0.020028
+0.0190489
+0.0181067
+0.0172643
+0.0165211
+0.0158559
+0.0146876
+0.0137496
+0.0130346
+0.0124888
+0.0122303
+0.0115131
+0.0108825
+0.0104874
+0.0100796
+0.0100062
+0.0100843
+0.0104704
+0.0111309
+0.0111634
+0.0114661
+0.0115655
+0.0117396
+0.0120456
+0.0124898
+0.0131489
+0.0135718
+0.0141476
+0.0149556
+0.0160245
+0.0172407
+0.0185784
+0.0200631
+0.0216678
+0.0233679
+0.0251205
+0.0268726
+0.0286819
+0.0289644
+0.0270154
+0.0250333
+0.0230509
+0.0210971
+0.0191931
+0.0173436
+0.0155586
+0.0138389
+0.0122381
+0.0106712
+0.00931338
+0.00825103
+0.00756119
+0.00718447
+0.0073703
+0.00808258
+0.00841014
+0.00898178
+0.00981367
+0.0106884
+0.0113363
+0.0122804
+0.0134601
+0.0143992
+0.0154003
+0.0165725
+0.0178117
+0.0191428
+0.0205998
+0.022097
+0.0236738
+0.0252982
+0.0269339
+0.0285847
+0.0302823
+0.0319828
+0.033631
+0.0352367
+0.0369017
+0.0386155
+0.0471528
+0.0455954
+0.0440454
+0.0425193
+0.0410415
+0.0396297
+0.0380753
+0.0365594
+0.0350928
+0.0335898
+0.0321658
+0.030733
+0.0293177
+0.0279418
+0.0266631
+0.0254719
+0.0242594
+0.0230528
+0.0219093
+0.0207254
+0.0196329
+0.0185544
+0.0175804
+0.0167021
+0.0159375
+0.01524
+0.0142765
+0.0133889
+0.0123732
+0.0116314
+0.0110693
+0.0105017
+0.0099053
+0.00926332
+0.0089633
+0.00864306
+0.00858413
+0.00879654
+0.0093189
+0.0096709
+0.00990968
+0.0103581
+0.0103064
+0.0104879
+0.010884
+0.0113908
+0.0121289
+0.0125517
+0.0131324
+0.0139216
+0.0149737
+0.0162075
+0.0176198
+0.0191788
+0.0207832
+0.0224464
+0.0241938
+0.0259495
+0.027705
+0.027966
+0.0260281
+0.0241335
+0.0222102
+0.0202707
+0.0183446
+0.0164153
+0.0145591
+0.0127906
+0.0111095
+0.00957269
+0.00824572
+0.00718619
+0.00649193
+0.00620582
+0.00656342
+0.00692098
+0.0072525
+0.00785607
+0.00859404
+0.00949642
+0.0101573
+0.0111022
+0.0122789
+0.0131614
+0.0141726
+0.0152978
+0.016539
+0.0178961
+0.0193258
+0.0208516
+0.0224556
+0.0240558
+0.0256802
+0.0273338
+0.0290426
+0.0307817
+0.0324334
+0.0340955
+0.0358097
+0.0375147
+0.0456977
+0.0441327
+0.0425741
+0.0410397
+0.0395325
+0.0380849
+0.0366902
+0.0351339
+0.0336282
+0.0321197
+0.030645
+0.0292375
+0.027825
+0.0264427
+0.0251051
+0.0238602
+0.0226463
+0.0214583
+0.0202874
+0.0192014
+0.0181454
+0.0170993
+0.0161082
+0.0152897
+0.0145588
+0.0136119
+0.0127158
+0.0118676
+0.0111982
+0.010408
+0.00977143
+0.0088902
+0.00824785
+0.00769222
+0.00745548
+0.00725292
+0.00727377
+0.00758436
+0.00833925
+0.00833323
+0.00862562
+0.00914287
+0.00910918
+0.00943101
+0.00979299
+0.0103182
+0.0111344
+0.0116221
+0.0121085
+0.0129327
+0.0140189
+0.0153238
+0.0167387
+0.018263
+0.0198892
+0.0214704
+0.0231511
+0.0249112
+0.0267349
+0.0269917
+0.0251042
+0.0231341
+0.0212073
+0.0193368
+0.0174532
+0.0155376
+0.0136772
+0.01185
+0.0101113
+0.00853187
+0.00716725
+0.00612328
+0.0054699
+0.00536321
+0.00573126
+0.00572209
+0.00607149
+0.00668248
+0.00741161
+0.00835482
+0.008978
+0.00993432
+0.0111603
+0.0119093
+0.0128889
+0.0139994
+0.0152555
+0.0166092
+0.01807
+0.0196461
+0.021193
+0.0227831
+0.0244199
+0.0261082
+0.0278139
+0.0295519
+0.0312724
+0.0330066
+0.0347055
+0.0364554
+0.0442677
+0.0426893
+0.0411192
+0.0395574
+0.0380273
+0.0365363
+0.0351035
+0.0336841
+0.0322129
+0.0306679
+0.0291597
+0.027707
+0.0263298
+0.0249605
+0.0236233
+0.0223215
+0.0210189
+0.0198731
+0.0187046
+0.0176178
+0.0166302
+0.0156664
+0.0146704
+0.0138759
+0.0131004
+0.0120373
+0.011054
+0.010394
+0.00982448
+0.00906271
+0.00817837
+0.00734155
+0.00660224
+0.00612505
+0.0058882
+0.00586117
+0.00603792
+0.00655487
+0.00696259
+0.00695168
+0.00740747
+0.00796718
+0.00800388
+0.00836455
+0.00873386
+0.00944692
+0.0101966
+0.0107165
+0.0112271
+0.0120962
+0.0131723
+0.0144713
+0.0158196
+0.0172212
+0.0187715
+0.0204393
+0.0221982
+0.0240282
+0.0259142
+0.0258409
+0.0240147
+0.0221339
+0.0203004
+0.0183376
+0.0164325
+0.0146073
+0.0128033
+0.0109509
+0.00915924
+0.00754242
+0.00612015
+0.00505828
+0.00447821
+0.00459409
+0.00458007
+0.0045309
+0.00489412
+0.00540644
+0.00624421
+0.00718073
+0.00788045
+0.00894249
+0.00994597
+0.0106101
+0.0115453
+0.0126769
+0.013966
+0.0153414
+0.016821
+0.0183964
+0.0199264
+0.0215314
+0.0231727
+0.0248772
+0.0265924
+0.0283284
+0.0301142
+0.0319167
+0.0336677
+0.0354593
+0.0428874
+0.0412714
+0.0396948
+0.0381193
+0.0365454
+0.0350298
+0.0335585
+0.0321088
+0.0306772
+0.0292504
+0.0277251
+0.0262315
+0.024808
+0.0234652
+0.0221456
+0.0207847
+0.0195022
+0.0182614
+0.0171292
+0.0160681
+0.0150885
+0.0142367
+0.0132477
+0.0124159
+0.011584
+0.0105259
+0.00954323
+0.00883497
+0.00845972
+0.00749143
+0.00658079
+0.00569842
+0.00501588
+0.00456939
+0.00442771
+0.0045142
+0.00485136
+0.00543133
+0.00543863
+0.00560914
+0.00636417
+0.00690405
+0.00695142
+0.00731233
+0.00770679
+0.00843743
+0.00925929
+0.00989714
+0.0103688
+0.0112192
+0.0122275
+0.013421
+0.0147227
+0.016216
+0.0178537
+0.0195998
+0.0214184
+0.0232402
+0.0250875
+0.0248059
+0.0229022
+0.0210543
+0.0191534
+0.017299
+0.0155325
+0.013614
+0.0117591
+0.0100081
+0.00839611
+0.00670987
+0.00519089
+0.00412397
+0.00366256
+0.00367575
+0.00336153
+0.00331616
+0.00370652
+0.00420797
+0.00514827
+0.00609937
+0.00667403
+0.00761226
+0.00871939
+0.00930813
+0.0102132
+0.0113863
+0.0126803
+0.0140921
+0.0156182
+0.0171258
+0.0186404
+0.0202684
+0.0219597
+0.0236615
+0.0254105
+0.0272216
+0.0290245
+0.0308664
+0.0327139
+0.0345281
+0.0415323
+0.0398916
+0.0382913
+0.0367174
+0.0351232
+0.0335481
+0.0320454
+0.0305559
+0.0291006
+0.0276905
+0.0263148
+0.0248072
+0.0233472
+0.0219573
+0.0206399
+0.0193137
+0.0179682
+0.016739
+0.015538
+0.0144863
+0.0135938
+0.012708
+0.0117675
+0.010901
+0.00994314
+0.00887821
+0.00805418
+0.00743025
+0.00698099
+0.00591943
+0.0050284
+0.00412533
+0.00350077
+0.00313954
+0.00308288
+0.00322421
+0.00369251
+0.0043259
+0.00419215
+0.00451518
+0.00544943
+0.00572591
+0.00581122
+0.00628337
+0.00681826
+0.00753173
+0.00830781
+0.0089422
+0.00939457
+0.010082
+0.0110896
+0.0123973
+0.0138832
+0.0153983
+0.0170197
+0.0187573
+0.0205815
+0.0223296
+0.0240792
+0.0237317
+0.0219042
+0.0200115
+0.0181337
+0.0162169
+0.0143177
+0.0125138
+0.0108533
+0.00903965
+0.00728672
+0.00579195
+0.00457371
+0.00336251
+0.00298717
+0.00233626
+0.00210511
+0.00210258
+0.00251966
+0.00313721
+0.0040677
+0.00478672
+0.00535124
+0.0064615
+0.00750989
+0.00803184
+0.00896913
+0.0101915
+0.0114552
+0.0128873
+0.0143249
+0.0158044
+0.0173873
+0.0190638
+0.0207791
+0.022529
+0.0243037
+0.0261049
+0.0279427
+0.0298189
+0.0317345
+0.0336568
+0.0401532
+0.0385558
+0.0369128
+0.0353173
+0.0337253
+0.0321426
+0.0305709
+0.0290751
+0.0275524
+0.0261135
+0.0247312
+0.0233954
+0.0219386
+0.0205254
+0.0191528
+0.0178238
+0.0165425
+0.0151764
+0.013985
+0.0128866
+0.0120197
+0.0111722
+0.0102728
+0.00947004
+0.00831303
+0.00727816
+0.00650962
+0.00597348
+0.00544131
+0.0043813
+0.00355307
+0.00266552
+0.00210398
+0.00180877
+0.00176392
+0.00198011
+0.00244395
+0.00348657
+0.00335878
+0.00384556
+0.00457231
+0.00450856
+0.00468422
+0.0051405
+0.00573184
+0.00663294
+0.00736233
+0.00790075
+0.00836595
+0.00913084
+0.0102618
+0.0115662
+0.0129806
+0.0144895
+0.0161225
+0.0178665
+0.0196065
+0.0213545
+0.0231542
+0.0227308
+0.0208156
+0.0189603
+0.0171276
+0.0152095
+0.0133404
+0.0113986
+0.00954624
+0.00786931
+0.006388
+0.00475798
+0.00343508
+0.00245328
+0.00167444
+0.00101986
+0.000908144
+0.000913679
+0.00136763
+0.00211938
+0.00310068
+0.00348122
+0.00406783
+0.00523756
+0.00629925
+0.00694262
+0.00779988
+0.00896025
+0.01019
+0.0116071
+0.0130326
+0.0145386
+0.0161819
+0.0179039
+0.0196251
+0.0214042
+0.0232014
+0.0250518
+0.0269357
+0.0288451
+0.0307801
+0.03274
+0.0386791
+0.0371217
+0.0355734
+0.0339299
+0.03232
+0.0307349
+0.0291864
+0.0276175
+0.0260697
+0.0245724
+0.0231555
+0.0218104
+0.0205255
+0.0191416
+0.0177237
+0.0163761
+0.0151185
+0.0136535
+0.0123546
+0.0112706
+0.0103493
+0.00962397
+0.00886341
+0.00803018
+0.00668019
+0.00565578
+0.00501724
+0.00472661
+0.00394103
+0.00289377
+0.00205909
+0.00127422
+0.000744625
+0.000473953
+0.000493478
+0.000814416
+0.00148423
+0.0027499
+0.00270678
+0.00314852
+0.00339358
+0.00346256
+0.00360545
+0.00409973
+0.00480429
+0.00563051
+0.00640894
+0.00716219
+0.00735736
+0.00810242
+0.00928766
+0.0105546
+0.0119345
+0.0135221
+0.015259
+0.0170122
+0.0187386
+0.0205424
+0.0223835
+0.0218782
+0.0198967
+0.0179606
+0.0160743
+0.0142752
+0.0123207
+0.0104387
+0.00858548
+0.00668447
+0.00500418
+0.00376672
+0.00240191
+0.0014423
+0.000528357
+-0.000187286
+-0.000374741
+-0.000331696
+0.000183426
+0.00109482
+0.00214896
+0.00236502
+0.00277285
+0.00400704
+0.00505558
+0.00571181
+0.00661326
+0.00768616
+0.00892954
+0.010291
+0.0117367
+0.0133484
+0.0150154
+0.0167469
+0.0185386
+0.0203393
+0.0221807
+0.0240684
+0.0259892
+0.0279466
+0.0298686
+0.0317868
+0.03721
+0.0356549
+0.0341022
+0.0325654
+0.0309489
+0.029339
+0.0277682
+0.0262206
+0.0246291
+0.0230889
+0.0216255
+0.0202396
+0.0189461
+0.0177299
+0.0163872
+0.0150002
+0.0137174
+0.0122277
+0.010871
+0.00970075
+0.00881252
+0.0080921
+0.0073584
+0.00650635
+0.00519723
+0.00410317
+0.00353268
+0.00353099
+0.00241292
+0.0014354
+0.000595564
+-0.000144624
+-0.000618431
+-0.000679978
+-0.000672849
+-0.000241347
+0.00082194
+0.00164045
+0.00182195
+0.00257964
+0.00232453
+0.00230384
+0.00254438
+0.00309537
+0.00394155
+0.00465098
+0.00545568
+0.0062213
+0.00649702
+0.00726196
+0.00836587
+0.00963593
+0.0111508
+0.0128421
+0.0144879
+0.0162295
+0.0179429
+0.0196677
+0.0214767
+0.0209729
+0.0190622
+0.0171481
+0.0151814
+0.0132531
+0.0114046
+0.00956388
+0.0076311
+0.00585534
+0.00410205
+0.00247647
+0.00115074
+0.000526614
+-0.000506433
+-0.00133043
+-0.000236132
+-0.00023543
+-0.000576386
+0.000100639
+0.00120981
+0.00142803
+0.00180334
+0.00318073
+0.00378638
+0.00448397
+0.00534591
+0.006457
+0.0076827
+0.00905205
+0.0105979
+0.01223
+0.0139372
+0.0157193
+0.0175049
+0.0193527
+0.0212475
+0.0231912
+0.025138
+0.0270367
+0.0289481
+0.0308864
+0.0357638
+0.0341713
+0.0326203
+0.0310976
+0.0295507
+0.0279845
+0.0263756
+0.0248336
+0.023231
+0.0216716
+0.0201435
+0.0187276
+0.0173867
+0.0161677
+0.0150096
+0.0137069
+0.0122682
+0.0108518
+0.00945149
+0.00824687
+0.00731169
+0.00645805
+0.00573542
+0.00488521
+0.00363166
+0.00276747
+0.00247934
+0.00196152
+0.000910419
+-2.68599e-05
+-0.000820778
+-0.00111933
+-0.00116553
+-0.0011645
+-0.0014488
+-0.00101851
+0.000222687
+0.000336914
+0.000859005
+0.00137821
+0.00111998
+0.00109971
+0.0013726
+0.00205441
+0.0030429
+0.00382629
+0.0046534
+0.00544055
+0.00559304
+0.00626629
+0.00752809
+0.00911551
+0.0105045
+0.0120781
+0.013797
+0.0153786
+0.0170814
+0.0188849
+0.0207623
+0.0201889
+0.0181996
+0.0162606
+0.0143921
+0.0125142
+0.010537
+0.00866299
+0.00697596
+0.00513654
+0.00337118
+0.00188311
+-7.65007e-05
+-0.000442068
+-0.00158157
+-0.000733041
+0.000952873
+0.000939712
+0.000410594
+-0.000895724
+0.000360683
+0.000603938
+0.00147924
+0.00247873
+0.00250981
+0.00321204
+0.00410022
+0.00529342
+0.00655682
+0.0079931
+0.00954406
+0.0111985
+0.0129693
+0.0147343
+0.0165964
+0.0185106
+0.0204121
+0.0223249
+0.0242091
+0.0261317
+0.0280935
+0.0300028
+0.0343584
+0.032716
+0.0311243
+0.0295776
+0.0280872
+0.0265504
+0.0249862
+0.023366
+0.0218453
+0.0202729
+0.0187336
+0.0172517
+0.0158849
+0.0146114
+0.0135221
+0.0122235
+0.0107265
+0.00936329
+0.00810546
+0.00685251
+0.00576767
+0.00489302
+0.00417105
+0.00320805
+0.00200554
+0.00126571
+0.00151284
+0.000406296
+-0.00054873
+-0.000706434
+-5.17153e-05
+0.000207217
+0.000111498
+-1.3229e-05
+-0.000239881
+-0.000592896
+-0.000536926
+-0.000762559
+0.000203926
+0.000172706
+-2.22262e-05
+-2.18656e-05
+0.000243062
+0.00108869
+0.00216552
+0.00295806
+0.00377064
+0.00456328
+0.00507819
+0.00585517
+0.00718949
+0.00858608
+0.0100451
+0.0115127
+0.0130299
+0.0146944
+0.016468
+0.01815
+0.019916
+0.0195673
+0.0175217
+0.0155017
+0.013535
+0.0116485
+0.00988818
+0.00802423
+0.00614824
+0.00445351
+0.0029863
+0.000985972
+-0.000196778
+-0.00150758
+-0.00209797
+2.12692e-05
+0.00215458
+0.00201996
+0.000721853
+-0.00124011
+-0.00033465
+-3.75743e-05
+0.000773413
+0.00135078
+0.00128522
+0.00199954
+0.00290489
+0.00409287
+0.00542926
+0.00693647
+0.00853889
+0.0102185
+0.0120137
+0.0138727
+0.0156778
+0.0175586
+0.0194913
+0.0214239
+0.0233161
+0.0252529
+0.0271961
+0.0289427
+0.0329862
+0.0313085
+0.0296785
+0.0280886
+0.0265477
+0.0250665
+0.0234997
+0.0219371
+0.0203531
+0.0188439
+0.0173517
+0.0158327
+0.0144337
+0.0131457
+0.0119479
+0.0108437
+0.00928424
+0.00783803
+0.00662664
+0.00543624
+0.00430269
+0.00336239
+0.0027294
+0.00170264
+0.000336697
+0.000193934
+0.000184144
+-0.00107629
+-4.97187e-05
+0.000701624
+0.00125541
+0.00129581
+0.00135118
+0.00109316
+0.000754187
+0.000293796
+-0.000877595
+-0.00161989
+-0.000708301
+-0.000401187
+-0.000454852
+-0.00100097
+-0.000662421
+0.000401898
+0.00120423
+0.00195638
+0.00274468
+0.00361064
+0.00471657
+0.00581802
+0.0068949
+0.00832268
+0.00952618
+0.0109653
+0.0125283
+0.0140088
+0.0156388
+0.0173924
+0.0191333
+0.0189504
+0.01694
+0.0149768
+0.0129808
+0.0109996
+0.0091149
+0.0074006
+0.00570253
+0.00407012
+0.00221833
+0.000607676
+-0.000954374
+-0.00262323
+-0.000875858
+0.000660674
+0.00247784
+0.00302287
+0.000840711
+-0.00132259
+-0.00130144
+-0.00106848
+-0.000181607
+0.000274927
+0.00021871
+0.000808026
+0.00176388
+0.00299447
+0.00435527
+0.00584176
+0.00751157
+0.00923066
+0.0110401
+0.0128545
+0.0147712
+0.0167029
+0.018568
+0.0204977
+0.0224326
+0.0243794
+0.0261662
+0.0279733
+0.0316905
+0.0299531
+0.0282651
+0.026641
+0.0250681
+0.0235349
+0.0220653
+0.0204632
+0.018904
+0.0173701
+0.0158793
+0.0144728
+0.0129726
+0.0115397
+0.0103521
+0.00932643
+0.00785713
+0.00646341
+0.00516894
+0.0041261
+0.00296933
+0.001976
+0.00132019
+0.000162943
+-0.00122668
+-0.000614051
+-0.00130839
+-2.13243e-05
+0.0014701
+0.00215943
+0.0024998
+0.00241268
+0.00248286
+0.00225325
+0.00190336
+0.000780791
+-0.00128782
+-0.000989261
+0.000279405
+0.000644189
+0.000412037
+-0.000134716
+-0.00103365
+-0.000483614
+8.75901e-05
+0.000815154
+0.0016826
+0.00258361
+0.00369994
+0.00518496
+0.00662752
+0.00781304
+0.00913239
+0.0104463
+0.011787
+0.0133475
+0.0150413
+0.0166711
+0.0173686
+0.0170942
+0.0164647
+0.0144473
+0.0124886
+0.01061
+0.00881957
+0.00691697
+0.00491641
+0.00312699
+0.00156845
+-4.57843e-05
+-0.00185082
+-0.00200194
+-0.000423625
+0.00148705
+0.00353894
+0.00329995
+0.00114682
+-0.000933359
+-0.00231935
+-0.00203932
+-0.000920173
+-0.000747416
+-0.000924891
+-0.000356344
+0.000633257
+0.00190002
+0.00322422
+0.00479637
+0.00662659
+0.00832877
+0.0100946
+0.0119956
+0.0139129
+0.0157632
+0.0176416
+0.0195747
+0.0215345
+0.0234702
+0.0252529
+0.027066
+0.0304485
+0.0286791
+0.0269344
+0.025235
+0.0235992
+0.0220403
+0.0205359
+0.019087
+0.0174484
+0.0158959
+0.0144127
+0.0129763
+0.0115151
+0.0100789
+0.00876715
+0.00758308
+0.00638536
+0.0050062
+0.00384878
+0.00286234
+0.0016849
+0.00055177
+-0.000146624
+-0.000677191
+-0.000722628
+-0.00181355
+-0.00042135
+0.00129121
+0.00291662
+0.00353928
+0.00363017
+0.00360122
+0.00356084
+0.00325532
+0.00257773
+0.000426999
+-0.00168775
+-0.00017021
+0.00132676
+0.00162718
+0.00136719
+0.000714951
+-0.000239486
+-0.000921861
+-0.000931468
+-0.000172241
+0.000701561
+0.00169129
+0.00286913
+0.00420952
+0.00581027
+0.00713843
+0.00835059
+0.00986756
+0.0113724
+0.0128276
+0.0144023
+0.0158145
+0.0152286
+0.0149149
+0.0149197
+0.0139214
+0.0120959
+0.0101608
+0.00822673
+0.00637431
+0.00438168
+0.00251598
+0.000986275
+-0.000954985
+-0.00258236
+-0.00105133
+0.000713677
+0.00252726
+0.00440151
+0.00371194
+0.00164653
+-0.000226596
+-0.00145529
+-0.00195734
+-0.000439814
+0.000212994
+-0.000487447
+-0.00149231
+-0.000536238
+0.000898106
+0.0021575
+0.00375373
+0.00553873
+0.00737495
+0.00929131
+0.0110559
+0.0129316
+0.0148066
+0.0167405
+0.0187309
+0.0207369
+0.0225691
+0.024294
+0.0260889
+0.0291528
+0.0274129
+0.0256884
+0.0239295
+0.0222238
+0.0205742
+0.0190197
+0.017549
+0.0160854
+0.0144688
+0.0129303
+0.0114993
+0.0100684
+0.00864165
+0.00729073
+0.00595045
+0.00486861
+0.00354371
+0.00254917
+0.00156985
+0.000465226
+-0.000644573
+-7.93438e-05
+0.000415411
+-0.000976474
+-0.00121388
+0.000528438
+0.00250411
+0.00419627
+0.00474101
+0.00469957
+0.0047411
+0.00462451
+0.00419776
+0.00222188
+0.000189289
+-0.000550366
+0.000739885
+0.00237925
+0.00268205
+0.00227783
+0.00148261
+0.000558777
+-9.4066e-05
+-0.000603591
+-0.00106213
+-0.000129108
+0.00102917
+0.00213695
+0.00350228
+0.0050468
+0.00667247
+0.00797699
+0.00955532
+0.0109382
+0.0124304
+0.0140497
+0.0137621
+0.0131053
+0.0127395
+0.012745
+0.0131216
+0.0111865
+0.00934031
+0.00761357
+0.00566812
+0.00380375
+0.00190416
+6.4586e-06
+-0.00194475
+-0.0018588
+5.46914e-05
+0.00191279
+0.00374774
+0.00554742
+0.00426835
+0.00232803
+0.000704354
+-0.000245153
+-0.000707575
+-6.38026e-05
+0.00132391
+0.000736131
+-0.000224596
+-0.00100659
+-0.00017429
+0.0010503
+0.00279051
+0.00450763
+0.00638174
+0.0081874
+0.0101264
+0.012031
+0.0139713
+0.015931
+0.0179406
+0.0198201
+0.0215423
+0.0233433
+0.0251002
+0.0278986
+0.0261314
+0.0243931
+0.0226773
+0.020948
+0.0192401
+0.0175747
+0.0160288
+0.0145819
+0.0130708
+0.0115517
+0.010045
+0.00859914
+0.00721292
+0.00577279
+0.00450696
+0.00327197
+0.0021379
+0.00122424
+0.000266132
+-0.000473506
+0.000348231
+0.00113939
+-6.48086e-05
+-0.000902874
+9.25251e-05
+0.00176272
+0.00347402
+0.00547236
+0.00586729
+0.00589997
+0.00596717
+0.00552741
+0.00359259
+0.0018736
+0.00058675
+0.000521548
+0.00178444
+0.00347144
+0.00364218
+0.0032567
+0.00223974
+0.00140944
+0.000763892
+0.000228403
+-0.000345759
+-0.000929614
+0.000268007
+0.00141507
+0.00280749
+0.00434551
+0.00590801
+0.00764647
+0.00895733
+0.0104681
+0.0118489
+0.0128485
+0.0117597
+0.0110036
+0.0105703
+0.0105771
+0.0110279
+0.0106259
+0.00869606
+0.00680342
+0.00481948
+0.00288083
+0.000900189
+-0.0010876
+-0.00207871
+-0.000578691
+0.00117012
+0.003025
+0.00492651
+0.00678329
+0.00493624
+0.00316659
+0.00172747
+0.000841382
+0.000213219
+0.000462454
+0.00203317
+0.00189364
+0.00101954
+8.20994e-05
+-0.0013279
+-1.24115e-05
+0.00174621
+0.00355727
+0.00536354
+0.0072764
+0.00923167
+0.0111731
+0.0131689
+0.0151996
+0.0171501
+0.0188584
+0.0205253
+0.0222832
+0.0241119
+0.0266701
+0.0249067
+0.02313
+0.0213957
+0.0196493
+0.0179262
+0.0162875
+0.0146086
+0.0130788
+0.0116829
+0.0101069
+0.00862603
+0.0070529
+0.00571099
+0.00436599
+0.00303043
+0.00188446
+0.00082196
+-7.9675e-05
+-0.000107181
+0.000702617
+0.00165646
+0.00137199
+0.000122954
+0.000197325
+0.00150838
+0.0030867
+0.00481719
+0.0064978
+0.00707436
+0.00708418
+0.00689096
+0.00551387
+0.00358201
+0.00205006
+0.00106307
+0.00117744
+0.0024329
+0.00402385
+0.00460956
+0.00419502
+0.0031368
+0.00226817
+0.00164011
+0.00106779
+0.000370597
+-0.000783616
+-0.000599775
+0.000562486
+0.00200466
+0.00358697
+0.00510209
+0.00667707
+0.00841007
+0.00970171
+0.0111901
+0.0111165
+0.00983784
+0.00892115
+0.00841239
+0.00842086
+0.00898063
+0.00993749
+0.00795588
+0.00594052
+0.00391416
+0.00191473
+-9.63556e-06
+-0.00197747
+-0.000623025
+0.000892313
+0.00248601
+0.0042121
+0.00602437
+0.00757826
+0.00573473
+0.00408293
+0.00277612
+0.00197675
+0.00123296
+0.00136339
+0.00268369
+0.0029844
+0.00215778
+0.00104848
+-0.000325469
+-0.000883342
+0.000802676
+0.00260294
+0.0044458
+0.00643381
+0.00844742
+0.0104723
+0.012386
+0.0143524
+0.0161303
+0.0177836
+0.0195425
+0.021315
+0.0231593
+0.025356
+0.0237277
+0.0219442
+0.0201331
+0.0183861
+0.016643
+0.0148943
+0.0132606
+0.011663
+0.0101878
+0.00884858
+0.00725588
+0.00567074
+0.00418065
+0.00287586
+0.00160598
+0.000519001
+-0.000551673
+9.41238e-05
+0.000978893
+0.00191705
+0.00276894
+0.00175573
+0.00128851
+0.00182243
+0.00287139
+0.00441193
+0.00615472
+0.00756512
+0.00810481
+0.00817007
+0.00759957
+0.005745
+0.00403312
+0.00265285
+0.00209062
+0.0022901
+0.00332088
+0.00475688
+0.0057125
+0.00518045
+0.00413543
+0.00329083
+0.00263548
+0.00194577
+0.00110691
+-0.000180984
+-0.00132051
+-6.98651e-05
+0.00129726
+0.00286459
+0.00437826
+0.00588036
+0.00760751
+0.00931576
+0.0107603
+0.00952787
+0.00805446
+0.00690494
+0.00627717
+0.00628851
+0.00702042
+0.00817373
+0.00725595
+0.00512455
+0.00307403
+0.00104634
+-0.000935003
+-0.0011494
+0.000581688
+0.00241399
+0.00396287
+0.00554674
+0.00725764
+0.00833385
+0.0065873
+0.0050435
+0.00383009
+0.00313618
+0.00220935
+0.00217529
+0.0032328
+0.00418393
+0.00327384
+0.00201671
+0.000681417
+-0.000719206
+-7.09725e-05
+0.0016483
+0.00360945
+0.00565643
+0.00778098
+0.00966256
+0.0116396
+0.0135199
+0.0150687
+0.0167419
+0.0185234
+0.0203559
+0.0221998
+0.0240129
+0.0223736
+0.0207915
+0.0190079
+0.0171602
+0.0153988
+0.0136158
+0.0118966
+0.0102606
+0.0087857
+0.00731875
+0.00579744
+0.0042413
+0.00272642
+0.00134121
+0.000176595
+-0.000676354
+0.000214276
+0.00129112
+0.0022573
+0.00314469
+0.00280868
+0.00212404
+0.00224458
+0.00342935
+0.00457592
+0.00580823
+0.00741735
+0.00855901
+0.00906679
+0.00909956
+0.00775125
+0.00611258
+0.00451292
+0.00329072
+0.00307477
+0.00380198
+0.00470539
+0.00596063
+0.00687826
+0.00607103
+0.0051082
+0.00432359
+0.00362731
+0.00283706
+0.00182607
+0.000466008
+-0.000878762
+-0.000700832
+0.000620125
+0.00201151
+0.00359414
+0.00511239
+0.00675687
+0.00843045
+0.010063
+0.00819003
+0.00646685
+0.00503664
+0.00419888
+0.00421644
+0.00519332
+0.00666186
+0.00677455
+0.00461648
+0.00250413
+0.00042202
+-0.00161584
+-0.000431591
+0.00163318
+0.00361846
+0.00546941
+0.0070357
+0.00862406
+0.0090289
+0.00736039
+0.00580864
+0.00463502
+0.00378518
+0.00299972
+0.00297028
+0.00360922
+0.00487494
+0.00439429
+0.00307221
+0.00179595
+0.000359706
+-0.00107746
+0.000858142
+0.00293173
+0.0048939
+0.00693444
+0.00904297
+0.0108986
+0.0124021
+0.0140434
+0.0157391
+0.017522
+0.0193879
+0.0213104
+0.0227453
+0.0210545
+0.0194275
+0.0178832
+0.0160793
+0.0142409
+0.0124569
+0.0106295
+0.00893092
+0.00732933
+0.00577478
+0.00436537
+0.00280246
+0.00126928
+-0.000147849
+-0.000696433
+0.000447041
+0.00147298
+0.00250268
+0.00355075
+0.00407272
+0.00331982
+0.00300264
+0.00346341
+0.00458474
+0.00611421
+0.00748762
+0.00884313
+0.00983658
+0.0102677
+0.00942506
+0.00779861
+0.00625947
+0.00500049
+0.00412779
+0.00397333
+0.00453214
+0.00565597
+0.00715695
+0.0077825
+0.00689194
+0.00616432
+0.00543841
+0.0047061
+0.0038068
+0.00262843
+0.00124332
+-6.47354e-05
+-0.00144114
+-0.000110012
+0.00126843
+0.00286136
+0.00446016
+0.00602474
+0.00772699
+0.00926644
+0.00720957
+0.00524697
+0.00347224
+0.00224892
+0.00235491
+0.00369478
+0.00550983
+0.00666357
+0.00453104
+0.00246514
+0.000529706
+-0.000421165
+0.000793138
+0.00250974
+0.0044568
+0.00646763
+0.0084937
+0.0101211
+0.00965624
+0.00805525
+0.00667227
+0.00555349
+0.00470527
+0.00392791
+0.00380797
+0.00440197
+0.00557719
+0.00531875
+0.00426036
+0.00267456
+0.00117467
+-0.000578
+0.000217926
+0.00217848
+0.00424078
+0.00631922
+0.00832328
+0.0098494
+0.0113276
+0.0129977
+0.0147836
+0.0166628
+0.0185733
+0.0205033
+0.0215989
+0.0198164
+0.0181208
+0.016534
+0.01498
+0.0131324
+0.0113416
+0.00954882
+0.0076975
+0.00597728
+0.00431747
+0.0028203
+0.0013577
+-0.000103119
+-0.000385186
+0.000971275
+0.00176362
+0.00280685
+0.00375274
+0.00473661
+0.00438847
+0.00393662
+0.00400199
+0.00467448
+0.00583707
+0.00731176
+0.0089447
+0.0104904
+0.0111285
+0.0110645
+0.00933273
+0.00773071
+0.00638037
+0.00531474
+0.00461925
+0.00460498
+0.00526011
+0.0063978
+0.0078716
+0.0088044
+0.00776398
+0.00711285
+0.00661018
+0.00570251
+0.00478058
+0.00354904
+0.00224235
+0.000910198
+-0.000397439
+-0.00060863
+0.000824441
+0.00235049
+0.0040378
+0.00558878
+0.00727164
+0.00877665
+0.00665821
+0.00453709
+0.00247754
+0.000842668
+0.00114934
+0.00291188
+0.0049141
+0.00692226
+0.00515334
+0.00340032
+0.00204762
+0.00170211
+0.0025257
+0.00385975
+0.00555041
+0.00740077
+0.00935472
+0.0113432
+0.0105005
+0.00900677
+0.00773271
+0.00672976
+0.00579219
+0.00492927
+0.00482438
+0.00541909
+0.00652126
+0.00634846
+0.00456715
+0.00270935
+0.00113714
+2.22296e-05
+-0.000610824
+0.0014633
+0.00348189
+0.00549745
+0.00743103
+0.00876248
+0.0103575
+0.0120993
+0.0139413
+0.0158349
+0.0177949
+0.0197946
+0.0205091
+0.0186981
+0.0169377
+0.0152423
+0.0136724
+0.0121245
+0.0102665
+0.00850035
+0.00672506
+0.00486534
+0.00311292
+0.00142961
+-6.54975e-05
+-0.000621793
+0.000998795
+0.00241067
+0.00315767
+0.00419822
+0.00498847
+0.00564793
+0.00502349
+0.0049967
+0.00521732
+0.00597174
+0.00713895
+0.00852431
+0.0101211
+0.0118396
+0.0125119
+0.0109919
+0.0093614
+0.00784803
+0.0065789
+0.00575206
+0.00524244
+0.00531032
+0.00606425
+0.0072928
+0.00873502
+0.00965491
+0.00871238
+0.00810791
+0.00762664
+0.00678688
+0.00578362
+0.00447966
+0.00336935
+0.00224641
+0.000907827
+1.55742e-05
+0.00095387
+0.00246489
+0.0041073
+0.00570116
+0.00734066
+0.00711621
+0.00592599
+0.00439648
+0.00230285
+0.000621327
+0.00105478
+0.00273493
+0.00418036
+0.00529815
+0.00638085
+0.00498332
+0.00407487
+0.00387081
+0.00446472
+0.00549912
+0.00693444
+0.0086213
+0.0103905
+0.0122863
+0.011301
+0.00986503
+0.00863901
+0.0076779
+0.00669065
+0.00599249
+0.00591127
+0.0065159
+0.00744067
+0.00674169
+0.00481327
+0.00300079
+0.00138954
+0.000253743
+-0.00121049
+0.000678609
+0.00266093
+0.00467516
+0.00637458
+0.00784339
+0.00950769
+0.0113242
+0.0132297
+0.0152121
+0.017245
+0.0193067
+0.0192208
+0.0175088
+0.0157976
+0.0140815
+0.0124559
+0.0109317
+0.00937312
+0.0075104
+0.00575292
+0.00400875
+0.00223869
+0.000515319
+-0.000357581
+0.000996002
+0.00241221
+0.00391023
+0.00472563
+0.00563934
+0.00633441
+0.00627828
+0.00590062
+0.00599068
+0.00650729
+0.00728557
+0.00845946
+0.00985172
+0.0113665
+0.0129945
+0.0125771
+0.0109265
+0.00943013
+0.00814162
+0.00700424
+0.00626659
+0.00612405
+0.00630259
+0.00699955
+0.00818661
+0.00965543
+0.0104317
+0.0096103
+0.00917641
+0.00873254
+0.00783391
+0.00674813
+0.00552559
+0.004548
+0.0036173
+0.00255182
+0.00213357
+0.00246174
+0.00348926
+0.00485608
+0.00638619
+0.00701895
+0.00580895
+0.00422219
+0.00314047
+0.00192786
+0.000370846
+0.000314259
+0.00131671
+0.00268763
+0.00358662
+0.00503806
+0.00685898
+0.00619189
+0.00605531
+0.00649155
+0.00738777
+0.008538
+0.0100135
+0.0116675
+0.013263
+0.0117091
+0.0103256
+0.00913668
+0.00823007
+0.00726771
+0.00682394
+0.0068226
+0.00731758
+0.00816343
+0.00729678
+0.00542876
+0.0036325
+0.00193252
+0.000363461
+-0.000790568
+-8.81851e-05
+0.00193583
+0.00399145
+0.00563237
+0.00716902
+0.00888632
+0.0107767
+0.0127634
+0.0148076
+0.0168741
+0.018965
+0.0179917
+0.0162099
+0.0145009
+0.0128442
+0.0112198
+0.00969703
+0.00835684
+0.00667411
+0.00480827
+0.00310133
+0.00152143
+0.000605204
+0.00126787
+0.0027086
+0.00398987
+0.00549108
+0.00633048
+0.00709195
+0.00752374
+0.0070976
+0.00702876
+0.00712986
+0.00773473
+0.00866935
+0.0098131
+0.0111539
+0.0126905
+0.014274
+0.0127022
+0.011045
+0.00960406
+0.00840626
+0.00757025
+0.00702303
+0.00693724
+0.00743132
+0.00818347
+0.00926682
+0.0106311
+0.0112089
+0.0105114
+0.0100805
+0.00965979
+0.00893535
+0.00796602
+0.00690976
+0.00603855
+0.00531794
+0.00454567
+0.0042872
+0.00445536
+0.00516631
+0.00621331
+0.00730659
+0.00554279
+0.00406139
+0.00282207
+0.00127098
+0.000532352
+-0.000553002
+-0.00124478
+4.50378e-05
+0.00118765
+0.00240384
+0.00401121
+0.00550134
+0.00726101
+0.00824307
+0.00859869
+0.00934718
+0.0103415
+0.011606
+0.0131011
+0.013782
+0.0122589
+0.0109493
+0.00979894
+0.0088288
+0.00795695
+0.00751829
+0.00761186
+0.00797496
+0.00873275
+0.00814895
+0.00637417
+0.00462002
+0.00290607
+0.000917467
+-0.00104769
+-0.000805401
+0.0012612
+0.00331604
+0.00538197
+0.00692183
+0.00868862
+0.0106146
+0.0126271
+0.0146902
+0.016725
+0.0187713
+0.0169047
+0.0150457
+0.0132236
+0.011519
+0.00987386
+0.00832776
+0.00692491
+0.00580811
+0.00414579
+0.0026
+0.001187
+0.000918504
+0.00203563
+0.00368874
+0.00566452
+0.00706269
+0.00800169
+0.00863229
+0.00803593
+0.00776751
+0.00803425
+0.00841207
+0.0090088
+0.00996916
+0.0111898
+0.0125534
+0.0140062
+0.0146793
+0.0129814
+0.0114146
+0.0100257
+0.00886813
+0.00808259
+0.00766811
+0.00784102
+0.0082482
+0.00900083
+0.0101238
+0.0115244
+0.0122
+0.0116555
+0.0112391
+0.0108626
+0.0102552
+0.00946955
+0.00849941
+0.00776446
+0.00724243
+0.0066303
+0.00646283
+0.00656658
+0.00706992
+0.00788673
+0.00635102
+0.00438282
+0.00254562
+0.00124854
+-7.98699e-06
+-0.00162593
+-0.0023406
+-0.00298573
+-0.00176477
+0.000123966
+0.00104215
+0.00258651
+0.00443566
+0.00644548
+0.00833571
+0.0102077
+0.0113479
+0.0122711
+0.0133546
+0.0146866
+0.0144008
+0.0129379
+0.0116825
+0.0105774
+0.00961516
+0.00881574
+0.00824788
+0.00818692
+0.00859617
+0.0093317
+0.00926581
+0.00754362
+0.00548859
+0.00333811
+0.00119817
+-0.000778827
+-0.00139146
+0.000595478
+0.00267051
+0.0048018
+0.00643601
+0.00815562
+0.01006
+0.0120204
+0.0140151
+0.0160583
+0.0181271
+0.0159711
+0.014017
+0.0121265
+0.0102888
+0.00855139
+0.00692618
+0.00546407
+0.00421909
+0.00329289
+0.0021849
+0.00142247
+0.00168829
+0.00279395
+0.00440339
+0.00619745
+0.00811904
+0.00979437
+0.00913865
+0.00864437
+0.00860114
+0.00899079
+0.00969232
+0.0104577
+0.0113315
+0.012501
+0.0138837
+0.0153496
+0.0151035
+0.013417
+0.0118655
+0.0104936
+0.00939693
+0.00866068
+0.00836068
+0.00854229
+0.00916074
+0.0100776
+0.0111304
+0.0124253
+0.0134634
+0.0130139
+0.0126335
+0.012286
+0.0118053
+0.0111109
+0.0102733
+0.00964112
+0.00927092
+0.00876514
+0.00864606
+0.0087171
+0.00851733
+0.00764627
+0.00558168
+0.00364373
+0.00166399
+-0.000367357
+-0.00168375
+-0.00288092
+-0.00430366
+-0.0045633
+-0.00283105
+-0.00167246
+6.39514e-05
+0.0019276
+0.00374639
+0.00576406
+0.00770914
+0.00970914
+0.0117677
+0.0138529
+0.0152181
+0.0163995
+0.015141
+0.0137546
+0.0125697
+0.0115345
+0.0103645
+0.00949593
+0.00902237
+0.00895624
+0.00926459
+0.00992439
+0.00998419
+0.00783294
+0.00568589
+0.00358553
+0.00162201
+-9.28111e-05
+-0.00123112
+9.44741e-05
+0.00213717
+0.00393762
+0.00556911
+0.00738828
+0.00934397
+0.0113156
+0.0133079
+0.0153455
+0.0174203
+0.0152413
+0.0132218
+0.0112233
+0.00925512
+0.0073898
+0.00563608
+0.00407087
+0.00272181
+0.00169751
+0.0010658
+0.00156706
+0.00259818
+0.00383351
+0.00534868
+0.00705077
+0.00887376
+0.0104406
+0.00992619
+0.00958673
+0.00954369
+0.0099123
+0.0106607
+0.0116891
+0.0128687
+0.0139523
+0.0152322
+0.0166895
+0.0156846
+0.0140575
+0.0125795
+0.0112613
+0.0102203
+0.00949262
+0.00919879
+0.00935918
+0.00995527
+0.010876
+0.0119168
+0.0131979
+0.0146955
+0.0145399
+0.014225
+0.0138916
+0.0134837
+0.012889
+0.0121617
+0.0116179
+0.0113456
+0.0100783
+0.00907992
+0.007968
+0.00713259
+0.00628126
+0.00522641
+0.00305477
+0.000918406
+-0.00113359
+-0.00314377
+-0.0047126
+-0.00592356
+-0.00589697
+-0.00451392
+-0.0026715
+-0.000665792
+0.00136685
+0.00350547
+0.00567446
+0.00766537
+0.00967443
+0.0117447
+0.0136416
+0.0154867
+0.0172795
+0.015838
+0.0145424
+0.0134243
+0.0122097
+0.0111199
+0.0102946
+0.00972143
+0.00957529
+0.00985544
+0.0105238
+0.0104063
+0.00830017
+0.00621982
+0.00421645
+0.00240895
+0.000909904
+-0.000310904
+-0.000377497
+0.00178786
+0.00305682
+0.00471665
+0.00659285
+0.00857895
+0.0106201
+0.0127112
+0.014831
+0.0169688
+0.0143904
+0.012427
+0.0104957
+0.00847796
+0.0064764
+0.00456739
+0.00283079
+0.00138973
+0.000397615
+0.000321978
+0.00149367
+0.00320666
+0.00484542
+0.00648944
+0.00811793
+0.00984374
+0.0113061
+0.0108116
+0.0107145
+0.0107666
+0.0110954
+0.0117804
+0.012764
+0.0139974
+0.0153979
+0.0166945
+0.0175434
+0.0159621
+0.0145358
+0.01328
+0.012252
+0.0112718
+0.0106198
+0.0103442
+0.0104915
+0.0110367
+0.0118151
+0.0128568
+0.0141185
+0.0155404
+0.0161949
+0.0159485
+0.0156387
+0.015289
+0.0147634
+0.0132781
+0.0115999
+0.00993533
+0.00850596
+0.00737605
+0.00627739
+0.00547388
+0.00473055
+0.00415796
+0.00347545
+0.0013471
+-0.000738735
+-0.00275105
+-0.00487859
+-0.00704411
+-0.00650248
+-0.00435996
+-0.00228166
+-0.000285317
+0.00170165
+0.0035633
+0.00542352
+0.00721017
+0.00887649
+0.0106759
+0.0125745
+0.0144725
+0.0162234
+0.0166477
+0.0153569
+0.0138853
+0.0126058
+0.0115537
+0.0107912
+0.010379
+0.0103526
+0.0107152
+0.0113492
+0.0109305
+0.00891713
+0.006959
+0.00509773
+0.00337289
+0.00189441
+0.00053133
+-0.000742588
+0.000932943
+0.0021964
+0.0039747
+0.00599594
+0.00810569
+0.0101696
+0.0122678
+0.0143845
+0.0163497
+0.0135139
+0.0114872
+0.00950263
+0.00754496
+0.00562718
+0.00372672
+0.00190443
+0.000413366
+-0.000371742
+6.43153e-05
+0.00174774
+0.00350416
+0.00544036
+0.00732717
+0.00918856
+0.0109773
+0.012472
+0.011999
+0.0119092
+0.0121467
+0.0124689
+0.0130879
+0.0140193
+0.0151606
+0.0165061
+0.0180183
+0.0173364
+0.0157344
+0.0142895
+0.0130539
+0.012033
+0.0113291
+0.0110228
+0.0110801
+0.0114663
+0.0121939
+0.013003
+0.0139766
+0.0151774
+0.0165526
+0.0179325
+0.0177644
+0.0173466
+0.0155103
+0.0137779
+0.0121062
+0.0104197
+0.00884522
+0.00720342
+0.00582676
+0.00488391
+0.0038652
+0.00313211
+0.00248531
+0.00227698
+0.00167115
+-0.000496828
+-0.00266769
+-0.00481291
+-0.00698311
+-0.0069528
+-0.00497701
+-0.0031518
+-0.00122651
+0.000678595
+0.00247021
+0.00420683
+0.00588249
+0.00768513
+0.00958135
+0.0115245
+0.0135229
+0.0151058
+0.0160314
+0.0158736
+0.0144642
+0.0132451
+0.0122617
+0.0115716
+0.0112026
+0.0112111
+0.0115661
+0.0122756
+0.0117355
+0.00978902
+0.00790941
+0.00581238
+0.00381859
+0.00201555
+0.000433944
+-0.00139522
+1.20389e-05
+0.00147525
+0.00336973
+0.00543692
+0.00748525
+0.00957484
+0.0117015
+0.0137723
+0.0156472
+0.0127754
+0.0107014
+0.00865268
+0.00662639
+0.00463643
+0.00271446
+0.00094994
+-0.000484881
+-0.000616678
+0.000751729
+0.00252153
+0.00433025
+0.00609897
+0.00784052
+0.00968885
+0.0116543
+0.0134914
+0.0134319
+0.013319
+0.0135255
+0.0139477
+0.0145425
+0.0153861
+0.0164796
+0.0177578
+0.0190985
+0.0173832
+0.0157859
+0.0143461
+0.0131159
+0.0120842
+0.0113834
+0.0110519
+0.0110925
+0.0115559
+0.0123193
+0.0133917
+0.0146712
+0.0161256
+0.0176125
+0.0191202
+0.0183133
+0.0164204
+0.0145165
+0.012679
+0.0109405
+0.00925813
+0.00759292
+0.00608033
+0.0046492
+0.00351716
+0.00228861
+0.00169491
+0.00125464
+0.0013641
+0.000864241
+-0.000950472
+-0.00300943
+-0.00510801
+-0.00725625
+-0.00796586
+-0.00608498
+-0.00416632
+-0.00230807
+-0.000552653
+0.00119063
+0.00285249
+0.0047002
+0.00663
+0.00864204
+0.0107149
+0.0128071
+0.0140435
+0.015024
+0.016228
+0.0152846
+0.0141364
+0.0132307
+0.0125938
+0.0122938
+0.0123269
+0.0126722
+0.0133374
+0.0125141
+0.0104227
+0.00828416
+0.00613951
+0.00402185
+0.00194833
+0.000123242
+-0.00136449
+-0.000810249
+0.000689674
+0.00276929
+0.00491129
+0.00708315
+0.00926388
+0.0112122
+0.0131002
+0.0150585
+0.0121516
+0.0100219
+0.00792552
+0.00584885
+0.00378302
+0.00176712
+-0.000173645
+-0.00147991
+-0.000610714
+0.00111117
+0.00302677
+0.00498846
+0.00688274
+0.00877009
+0.0104957
+0.0123652
+0.0142488
+0.0144258
+0.0148651
+0.0150816
+0.0155132
+0.0161283
+0.0168991
+0.0179004
+0.0191015
+0.0193552
+0.0176648
+0.0160955
+0.0146862
+0.013487
+0.0124859
+0.011809
+0.0114899
+0.0115289
+0.0119648
+0.012704
+0.0137554
+0.0150459
+0.0164969
+0.0180809
+0.0195822
+0.0175533
+0.0155683
+0.0136135
+0.0116342
+0.00974587
+0.00801291
+0.00651403
+0.00475176
+0.0033106
+0.00224835
+0.00125541
+0.000315606
+0.00020018
+0.0001457
+-0.000481515
+-0.00213887
+-0.00385081
+-0.00580503
+-0.00782456
+-0.00904372
+-0.00711944
+-0.00533566
+-0.00359904
+-0.00187276
+-0.000148863
+0.00173777
+0.00379753
+0.00590076
+0.00803008
+0.0100182
+0.0119554
+0.0130981
+0.0140787
+0.015308
+0.0160162
+0.0150739
+0.0143632
+0.0138534
+0.0136043
+0.0136427
+0.0139757
+0.0145712
+0.0128962
+0.0107667
+0.00866774
+0.0065855
+0.0045256
+0.00245656
+0.000415757
+-0.00141305
+-0.00162942
+0.000266354
+0.00238779
+0.00453553
+0.00670179
+0.00859518
+0.0104459
+0.0124078
+0.0144357
+0.0116819
+0.00954349
+0.00741305
+0.00526474
+0.00312453
+0.00100129
+-0.00104002
+-0.00130236
+0.000207122
+0.00200488
+0.003846
+0.00572025
+0.00766021
+0.0095546
+0.0114957
+0.0133393
+0.0151748
+0.0154215
+0.0158595
+0.0165539
+0.0171379
+0.0177359
+0.0185268
+0.0194613
+0.020572
+0.0198518
+0.0182076
+0.0166894
+0.0153347
+0.0141442
+0.0131915
+0.0125477
+0.0122455
+0.0122861
+0.012696
+0.0134268
+0.0144262
+0.01567
+0.017105
+0.0186614
+0.0189202
+0.0169262
+0.0148639
+0.0128428
+0.0108874
+0.00889818
+0.00695719
+0.00521781
+0.00354491
+0.00219515
+0.000818923
+-0.000200012
+-0.000795715
+-0.000966121
+-0.000923939
+-0.00099544
+-0.00242522
+-0.00438133
+-0.00647005
+-0.00860962
+-0.0101407
+-0.00840512
+-0.00667501
+-0.0046244
+-0.00262642
+-0.000739297
+0.00138671
+0.00344222
+0.00547826
+0.00742867
+0.00923566
+0.0110824
+0.0122551
+0.013298
+0.0144322
+0.0156504
+0.0152344
+0.0145468
+0.0141436
+0.0140322
+0.0142605
+0.0147591
+0.0155444
+0.0134848
+0.0114087
+0.00937318
+0.0073185
+0.00515818
+0.00304007
+0.000999682
+-0.000977937
+-0.00228367
+-0.000260021
+0.00180301
+0.0037903
+0.00578854
+0.00788963
+0.00994411
+0.0119885
+0.0139612
+0.0113599
+0.00918434
+0.00701822
+0.00487412
+0.0027901
+0.000633656
+-0.000968781
+4.05485e-05
+0.00148658
+0.00325622
+0.0050386
+0.00685001
+0.00865133
+0.0105504
+0.0123991
+0.0143011
+0.0162701
+0.0166185
+0.0170279
+0.0176901
+0.0185743
+0.0194317
+0.0201724
+0.0211007
+0.0221352
+0.0205692
+0.0189872
+0.0175365
+0.0162209
+0.0150823
+0.0141927
+0.0135888
+0.0133103
+0.0133449
+0.0137259
+0.0144267
+0.0153818
+0.016554
+0.0179183
+0.0194344
+0.0181186
+0.0160672
+0.014058
+0.0121119
+0.0101514
+0.00813925
+0.00624813
+0.00435934
+0.00263969
+0.000845354
+-0.000246068
+-0.00118977
+-0.00189368
+-0.00213703
+-0.00136309
+-0.00154284
+-0.00286388
+-0.00470741
+-0.00672926
+-0.00881067
+-0.0109318
+-0.00921853
+-0.00717484
+-0.00502012
+-0.00289703
+-0.000921293
+0.000982037
+0.00272944
+0.00445262
+0.00643247
+0.00843981
+0.0102678
+0.0117222
+0.0126951
+0.0137509
+0.0149088
+0.0156834
+0.0150164
+0.0146262
+0.0145185
+0.0147393
+0.0152553
+0.0160203
+0.0141654
+0.0120378
+0.00992575
+0.00783994
+0.00575678
+0.00364331
+0.00158177
+-0.000523948
+-0.00163055
+-0.000593032
+0.0011892
+0.00325029
+0.00537058
+0.00752284
+0.00969181
+0.0117304
+0.0136695
+0.0111144
+0.00894501
+0.00678933
+0.0046664
+0.00262033
+0.000778327
+0.000169325
+0.00138231
+0.00284249
+0.0045013
+0.00628666
+0.00810959
+0.00988566
+0.0116592
+0.0135208
+0.0153357
+0.0172033
+0.0180035
+0.0183821
+0.0190071
+0.0198356
+0.0208593
+0.0219067
+0.0227703
+0.0230683
+0.0214468
+0.0199344
+0.0185579
+0.0173184
+0.0162568
+0.0154351
+0.0148816
+0.0146263
+0.014657
+0.015007
+0.0156506
+0.0165457
+0.0176407
+0.0189268
+0.0196791
+0.0175369
+0.0154083
+0.0132999
+0.0112231
+0.00919923
+0.00727272
+0.0053782
+0.00339033
+0.00170341
+8.55518e-06
+-0.00105935
+-0.00218544
+-0.0030187
+-0.00257326
+-0.00208685
+-0.00195349
+-0.00308935
+-0.00486206
+-0.0068317
+-0.00890218
+-0.0109941
+-0.00975382
+-0.00769772
+-0.00570708
+-0.00388385
+-0.00200518
+-0.000363906
+0.00152068
+0.00351215
+0.00544076
+0.00736212
+0.00937357
+0.0111816
+0.0120825
+0.013084
+0.0141238
+0.0152487
+0.0157307
+0.0153586
+0.015256
+0.0154663
+0.0159588
+0.0166949
+0.0147585
+0.0126488
+0.0104708
+0.00829671
+0.00613086
+0.00397237
+0.00185642
+-0.000121988
+-0.00117884
+-0.000749096
+0.00124129
+0.00322797
+0.00534448
+0.00750094
+0.00967278
+0.0117958
+0.0137257
+0.0111988
+0.00905469
+0.00693782
+0.00488226
+0.00294793
+0.00159043
+0.00135183
+0.00270521
+0.00415918
+0.00586022
+0.00755622
+0.00931568
+0.0111466
+0.0129234
+0.0147046
+0.0165136
+0.0183251
+0.0195365
+0.0198859
+0.0204651
+0.0212484
+0.0222071
+0.0233327
+0.0245165
+0.0240532
+0.0225028
+0.0210664
+0.0197689
+0.01861
+0.0176265
+0.0168715
+0.0163668
+0.0161328
+0.0161606
+0.0164808
+0.0170689
+0.0178932
+0.0189103
+0.0201155
+0.0193939
+0.0172163
+0.0150424
+0.0128742
+0.0107152
+0.00857226
+0.00646144
+0.00441658
+0.00252795
+0.000736077
+-0.000848807
+-0.0023078
+-0.00331079
+-0.00360367
+-0.00315312
+-0.00185413
+-0.00138365
+-0.0028048
+-0.00476315
+-0.00647864
+-0.00834399
+-0.0100673
+-0.0105935
+-0.00871429
+-0.00681596
+-0.00500048
+-0.00332687
+-0.0013639
+0.000510871
+0.00256182
+0.00462552
+0.00661907
+0.00868925
+0.0106718
+0.0114522
+0.0124374
+0.0134504
+0.0146272
+0.0160186
+0.0163323
+0.0162359
+0.0164336
+0.0169151
+0.017258
+0.0150912
+0.0129323
+0.0107843
+0.0086391
+0.0065163
+0.00445968
+0.00255441
+0.000891837
+-0.000346919
+0.000455861
+0.00197983
+0.00382916
+0.00580302
+0.00789138
+0.00997618
+0.0120854
+0.0140951
+0.0116331
+0.00958458
+0.00761568
+0.00577097
+0.00419585
+0.0031359
+0.00301693
+0.00404488
+0.00558383
+0.00712207
+0.00889055
+0.0106151
+0.0123627
+0.0141709
+0.0159843
+0.0177681
+0.0195392
+0.0211854
+0.0215081
+0.0220447
+0.0227802
+0.0236772
+0.024736
+0.025937
+0.0251906
+0.0237147
+0.0223563
+0.0211381
+0.0200584
+0.0191493
+0.0184568
+0.0179966
+0.017782
+0.0178073
+0.0180996
+0.0186374
+0.0193952
+0.0203373
+0.0214625
+0.0193541
+0.0171714
+0.014991
+0.0128141
+0.0106429
+0.00848173
+0.00634084
+0.0042195
+0.00206968
+1.81278e-05
+-0.00175591
+-0.0030084
+-0.00413933
+-0.0041019
+-0.00261175
+-0.00113956
+-0.000471444
+-0.00174503
+-0.00349232
+-0.00545986
+-0.00699322
+-0.00850158
+-0.0101258
+-0.00980542
+-0.00804189
+-0.00610088
+-0.00407761
+-0.00205964
+8.53358e-05
+0.00200341
+0.00399179
+0.00596302
+0.00798039
+0.0100517
+0.0109031
+0.0118385
+0.0130775
+0.0142653
+0.0156061
+0.01705
+0.0174151
+0.0175996
+0.01805
+0.0176174
+0.0154858
+0.0133732
+0.0112905
+0.00925765
+0.00729204
+0.00543331
+0.00363636
+0.00203675
+0.00130135
+0.00173155
+0.00290104
+0.00445495
+0.00621948
+0.00818427
+0.0102373
+0.0123378
+0.014465
+0.0124306
+0.0105306
+0.0087177
+0.00712019
+0.00588364
+0.00509368
+0.00503656
+0.00573612
+0.00703576
+0.00858274
+0.0101299
+0.0118782
+0.0136916
+0.015419
+0.0172077
+0.0190348
+0.0208187
+0.0225845
+0.0232237
+0.0237216
+0.0244066
+0.0252459
+0.0262415
+0.0273765
+0.0264608
+0.0250598
+0.0237784
+0.0226368
+0.0216213
+0.0207807
+0.0201443
+0.0197314
+0.019538
+0.019561
+0.0198275
+0.0203213
+0.0210185
+0.0218909
+0.0216612
+0.0194746
+0.017288
+0.0151015
+0.0129158
+0.0107321
+0.00855204
+0.0063792
+0.00422484
+0.00214513
+0.000537949
+-0.0010801
+-0.00308574
+-0.00437522
+-0.00296843
+-0.00175725
+-0.000314823
+0.000991598
+-0.000659901
+-0.00257547
+-0.0039561
+-0.00547378
+-0.00709884
+-0.00867131
+-0.00873402
+-0.00778681
+-0.00628385
+-0.00425281
+-0.00210375
+-0.000140712
+0.00164599
+0.00352082
+0.0055615
+0.00766493
+0.00980314
+0.0106742
+0.011628
+0.012663
+0.013825
+0.0152047
+0.0167031
+0.0182964
+0.0189379
+0.0193572
+0.0181865
+0.0161302
+0.0141144
+0.0121384
+0.0102414
+0.00835284
+0.00659601
+0.00500738
+0.00382802
+0.00258283
+0.0025372
+0.00355307
+0.00498162
+0.00664118
+0.00851999
+0.0105149
+0.0125642
+0.0146544
+0.0135042
+0.0117416
+0.0101472
+0.00881275
+0.00777242
+0.00718718
+0.00715753
+0.00766592
+0.0087121
+0.0100915
+0.0116256
+0.0131796
+0.0148945
+0.0167017
+0.0184749
+0.0202521
+0.0220654
+0.0238724
+0.0250137
+0.0254766
+0.0261157
+0.0269017
+0.0278381
+0.0289105
+0.0278457
+0.0265179
+0.0253104
+0.0242217
+0.0232691
+0.0224902
+0.0219035
+0.0215249
+0.0213652
+0.0213938
+0.0216377
+0.0220943
+0.0227372
+0.0235459
+0.0218272
+0.0196566
+0.017491
+0.0153325
+0.0131725
+0.0110241
+0.0088962
+0.00679294
+0.00473607
+0.00276119
+0.00113642
+-0.000693011
+-0.00284007
+-0.00329404
+-0.0018263
+-0.000465255
+0.00100467
+0.00217527
+0.000445692
+-0.000907022
+-0.00242302
+-0.00402939
+-0.00562667
+-0.00704191
+-0.00693169
+-0.00603324
+-0.00507953
+-0.00365359
+-0.00161395
+0.00025643
+0.00217976
+0.00386492
+0.00583034
+0.007886
+0.00984432
+0.0108163
+0.0115194
+0.0125461
+0.0136916
+0.015052
+0.0165567
+0.0181195
+0.0196573
+0.0208134
+0.018989
+0.0170147
+0.0150888
+0.0131917
+0.0113507
+0.00964252
+0.00796117
+0.00607285
+0.00438672
+0.00322326
+0.00309885
+0.00404878
+0.00549649
+0.0072464
+0.00908871
+0.0110242
+0.0130375
+0.0150883
+0.0147962
+0.0132072
+0.0118123
+0.0106464
+0.00978783
+0.00932542
+0.00930987
+0.00970709
+0.0105528
+0.0117514
+0.0131671
+0.0146915
+0.0162476
+0.0179368
+0.0197226
+0.0215428
+0.0233061
+0.0251038
+0.0268631
+0.0272947
+0.0278921
+0.0286294
+0.029511
+0.0305247
+0.0293289
+0.0280714
+0.0269276
+0.0258893
+0.0250004
+0.0242771
+0.0237346
+0.0233856
+0.0232388
+0.0232644
+0.0234889
+0.0239128
+0.0245258
+0.0240275
+0.0218558
+0.0196837
+0.0175115
+0.0153446
+0.0131856
+0.0110391
+0.00891411
+0.00679093
+0.00471515
+0.00270538
+0.00107681
+-0.000821752
+-0.00284177
+-0.00239561
+-0.000558123
+0.000920077
+0.00250021
+0.00353682
+0.00217648
+0.000618925
+-0.000975874
+-0.0026049
+-0.00407996
+-0.00525188
+-0.00504235
+-0.00421368
+-0.00338009
+-0.00238312
+-0.000854898
+0.00096077
+0.00259481
+0.00432381
+0.00624497
+0.00822948
+0.0101149
+0.0110437
+0.011608
+0.0124698
+0.0136016
+0.0149703
+0.0164824
+0.0179485
+0.0194356
+0.0209724
+0.0199611
+0.0180443
+0.0161848
+0.0143756
+0.012299
+0.0102343
+0.00823495
+0.00636283
+0.00475528
+0.00373912
+0.00365118
+0.00458028
+0.0060571
+0.00782378
+0.00969771
+0.011601
+0.0135911
+0.01563
+0.0162817
+0.0148524
+0.013619
+0.0125831
+0.0118656
+0.0114716
+0.0114627
+0.011802
+0.0125069
+0.0135335
+0.014815
+0.0162513
+0.0177686
+0.0193252
+0.0209954
+0.022754
+0.0245685
+0.0263579
+0.0281468
+0.029164
+0.0297239
+0.0304168
+0.031248
+0.0321927
+0.0308964
+0.0297054
+0.0286053
+0.0276302
+0.026799
+0.0261255
+0.0256223
+0.0252993
+0.0251636
+0.0251867
+0.0253942
+0.0257868
+0.0263562
+0.0242246
+0.0220644
+0.019911
+0.0177667
+0.0156352
+0.013501
+0.0113874
+0.00930952
+0.00729293
+0.00534206
+0.00346434
+0.00185138
+1.78711e-05
+-0.00114352
+-0.00109584
+0.000490935
+0.00224425
+0.00377681
+0.00522704
+0.00363646
+0.0020607
+0.00039905
+-0.00114742
+-0.00250457
+-0.00338297
+-0.00324382
+-0.0025591
+-0.00161744
+-0.000752648
+0.000481314
+0.00202376
+0.00337542
+0.00486968
+0.00671075
+0.00869417
+0.010618
+0.0113972
+0.0119117
+0.012753
+0.0138617
+0.0152003
+0.016565
+0.0179648
+0.0193806
+0.0209214
+0.021037
+0.0189249
+0.0168328
+0.0147694
+0.0127328
+0.0107517
+0.00886979
+0.00714511
+0.0057291
+0.00491842
+0.00484724
+0.00566068
+0.00696658
+0.00862622
+0.010442
+0.0123636
+0.0143128
+0.0162662
+0.0179124
+0.016624
+0.015494
+0.0145919
+0.0139778
+0.0136305
+0.013623
+0.0139264
+0.0145286
+0.0154212
+0.0165573
+0.0178839
+0.0193399
+0.0208519
+0.0224085
+0.0240641
+0.0257996
+0.027598
+0.0294194
+0.0310754
+0.0316014
+0.032254
+0.0330391
+0.0337694
+0.032536
+0.0313921
+0.0303485
+0.0294311
+0.0286522
+0.0280234
+0.0275548
+0.0272547
+0.0271288
+0.0271496
+0.0273423
+0.0277073
+0.0266874
+0.0245349
+0.0223898
+0.0202546
+0.0181325
+0.0160289
+0.0139522
+0.0118945
+0.00987831
+0.00795488
+0.00621108
+0.00466422
+0.00302669
+0.00158954
+0.00094059
+0.000908448
+0.00185591
+0.00350429
+0.00515881
+0.00663114
+0.00506907
+0.0033885
+0.00174793
+0.000317804
+-0.000784307
+-0.00144888
+-0.00142879
+-0.00079364
+0.000101377
+0.00102365
+0.00204476
+0.00332601
+0.0043627
+0.00584504
+0.00757988
+0.00942942
+0.0113788
+0.0120705
+0.0125479
+0.0133545
+0.0142801
+0.0154358
+0.0167459
+0.0181457
+0.0195721
+0.021099
+0.0215177
+0.0194578
+0.0174299
+0.0154464
+0.0135123
+0.0116547
+0.00991991
+0.00840097
+0.00723507
+0.00656775
+0.00649988
+0.00713862
+0.00826391
+0.00971586
+0.0113947
+0.0131969
+0.0151021
+0.0170615
+0.0196523
+0.0184659
+0.0174428
+0.0166466
+0.0161054
+0.0157982
+0.0157917
+0.0160686
+0.0165932
+0.0173801
+0.0183956
+0.0196043
+0.0209609
+0.0224311
+0.023939
+0.0254954
+0.0271395
+0.0288563
+0.0306337
+0.0324507
+0.0335169
+0.0341329
+0.0348757
+0.0354114
+0.0342325
+0.0331335
+0.0321464
+0.0312819
+0.0305502
+0.0299612
+0.0295234
+0.0292435
+0.0291262
+0.0291451
+0.0293246
+0.0282824
+0.0270737
+0.0249546
+0.022849
+0.020761
+0.0186949
+0.016643
+0.0146252
+0.0126648
+0.0107935
+0.0090663
+0.00749045
+0.00609333
+0.00452723
+0.00344789
+0.00304786
+0.00298326
+0.00365025
+0.00493964
+0.00657406
+0.0080769
+0.00635379
+0.00468245
+0.00320105
+0.00205021
+0.000961829
+0.000422961
+0.000410022
+0.00105498
+0.00187861
+0.0029011
+0.00377158
+0.00480418
+0.0056414
+0.00691278
+0.00848915
+0.0102929
+0.0122237
+0.0129802
+0.0132952
+0.0139325
+0.0148066
+0.0159207
+0.0171825
+0.0185494
+0.0200032
+0.0214993
+0.0222051
+0.0202154
+0.0182717
+0.0163722
+0.0145407
+0.0128223
+0.0112689
+0.00995814
+0.00899661
+0.00844587
+0.0083932
+0.00889703
+0.00982291
+0.0110897
+0.0125964
+0.0142799
+0.0160664
+0.0179344
+0.0214735
+0.020366
+0.0194431
+0.0187321
+0.0182421
+0.0179714
+0.0179658
+0.0182224
+0.0186866
+0.0193887
+0.020304
+0.0214052
+0.0226652
+0.0240433
+0.025524
+0.0270286
+0.0285847
+0.0302195
+0.031921
+0.0336791
+0.0354643
+0.0360471
+0.0367512
+0.0371102
+0.0359698
+0.0349255
+0.0339905
+0.033174
+0.032485
+0.0319317
+0.0315213
+0.0312593
+0.031111
+0.0295949
+0.0281366
+0.0267768
+0.0255006
+0.0243537
+0.0233564
+0.0214502
+0.0194437
+0.0174787
+0.0155696
+0.0137446
+0.0119811
+0.010345
+0.0088993
+0.0075377
+0.00625376
+0.00541141
+0.00520052
+0.0051272
+0.00564887
+0.00662518
+0.00802723
+0.00924689
+0.0076705
+0.00612165
+0.00484298
+0.00374453
+0.00276622
+0.00229425
+0.00231095
+0.00291276
+0.00372141
+0.00468916
+0.00540862
+0.00615868
+0.00716584
+0.00832421
+0.00974027
+0.0113528
+0.0131286
+0.0138932
+0.014188
+0.0147528
+0.0155968
+0.0166789
+0.0178559
+0.0191855
+0.0206195
+0.0220716
+0.0230808
+0.0211629
+0.0192887
+0.0174882
+0.0157866
+0.0142196
+0.0128365
+0.0117026
+0.0108961
+0.0104312
+0.0103886
+0.0107997
+0.0115882
+0.0126798
+0.014031
+0.0155607
+0.0172331
+0.0183636
+0.0233344
+0.0223194
+0.0214806
+0.0208393
+0.0203903
+0.0201485
+0.0201434
+0.0203752
+0.0208001
+0.021433
+0.0222645
+0.0232731
+0.0244369
+0.025735
+0.0271293
+0.028618
+0.03012
+0.0316757
+0.0333029
+0.0349916
+0.0367334
+0.0379911
+0.0386598
+0.0388461
+0.0377543
+0.0367607
+0.0358736
+0.0351009
+0.0344505
+0.0339293
+0.0332189
+0.0315025
+0.0298482
+0.0282669
+0.0267683
+0.0253385
+0.0240216
+0.0228005
+0.0217321
+0.0208399
+0.0201474
+0.0185331
+0.0166891
+0.0149391
+0.0132963
+0.0117875
+0.0105048
+0.00923968
+0.00817685
+0.00750008
+0.00737194
+0.00729797
+0.0077476
+0.00852749
+0.00967247
+0.0106011
+0.00910796
+0.00779235
+0.00663831
+0.00554354
+0.00465317
+0.00420619
+0.00422692
+0.00467023
+0.00561489
+0.00626025
+0.00676151
+0.00755908
+0.00866028
+0.00990443
+0.011222
+0.012693
+0.0142141
+0.0147528
+0.0150776
+0.0156864
+0.0165399
+0.0175722
+0.0187449
+0.02002
+0.0214374
+0.0228375
+0.024097
+0.0222543
+0.0204802
+0.0187942
+0.0172222
+0.0157982
+0.0145657
+0.0135771
+0.0128875
+0.0124741
+0.0124385
+0.0127839
+0.0134788
+0.0144282
+0.015592
+0.0162368
+0.0171271
+0.0182223
+0.0252483
+0.0243133
+0.0235456
+0.0229621
+0.0225466
+0.0223282
+0.0223236
+0.022533
+0.022928
+0.0235038
+0.0242643
+0.025193
+0.0262719
+0.0274834
+0.0288108
+0.0302178
+0.0317128
+0.0332126
+0.034768
+0.0363888
+0.0380667
+0.0397945
+0.040597
+0.0406224
+0.0395796
+0.038633
+0.0377899
+0.0370572
+0.0358544
+0.0340042
+0.0321887
+0.0304141
+0.0286971
+0.0270487
+0.0254797
+0.0239884
+0.0226108
+0.0213572
+0.0202149
+0.0192526
+0.0185007
+0.0179859
+0.0170958
+0.0161536
+0.0147428
+0.0133877
+0.0122734
+0.0110784
+0.0101763
+0.00963418
+0.00934644
+0.0094665
+0.00983501
+0.010513
+0.0114923
+0.0120586
+0.0106654
+0.00946262
+0.00838809
+0.00736574
+0.0066186
+0.00620981
+0.00623102
+0.00659905
+0.00739377
+0.00768473
+0.0082156
+0.00907725
+0.0101887
+0.0114312
+0.0128071
+0.0141616
+0.0154841
+0.0156609
+0.0159812
+0.0165871
+0.0174223
+0.0184333
+0.0196112
+0.0209209
+0.0223285
+0.0237813
+0.0252384
+0.0234997
+0.0218271
+0.0202535
+0.0188039
+0.017509
+0.0164056
+0.0155345
+0.0149157
+0.01456
+0.0145295
+0.014688
+0.014616
+0.0148408
+0.0151898
+0.0157668
+0.0166149
+0.017695
+0.0272039
+0.0263385
+0.0256316
+0.0250965
+0.024709
+0.0245098
+0.0245057
+0.0246966
+0.0250668
+0.0255944
+0.0262946
+0.0271539
+0.0281578
+0.0292914
+0.0305403
+0.0318879
+0.033308
+0.0348082
+0.0363062
+0.0378612
+0.0394766
+0.0411452
+0.0425587
+0.0424374
+0.0414403
+0.0405372
+0.0388997
+0.0369424
+0.0350127
+0.0331154
+0.0312566
+0.0294366
+0.0276584
+0.0259434
+0.024305
+0.0227519
+0.0212946
+0.0199716
+0.0188114
+0.0177938
+0.0169775
+0.0164149
+0.0153286
+0.0144035
+0.013716
+0.0132274
+0.0128582
+0.012782
+0.012172
+0.0115271
+0.0112313
+0.0113295
+0.0117885
+0.0125002
+0.0133197
+0.0136148
+0.0123146
+0.0111836
+0.0100854
+0.00918267
+0.00858876
+0.00819101
+0.00825994
+0.00859677
+0.00905105
+0.00931851
+0.00985388
+0.0106865
+0.011748
+0.013016
+0.0143224
+0.0156099
+0.0167814
+0.0167974
+0.0170964
+0.0176641
+0.0184719
+0.0194456
+0.0205847
+0.0218651
+0.0232202
+0.0246798
+0.0262413
+0.0248761
+0.0233024
+0.0218354
+0.020498
+0.019317
+0.0183228
+0.0175471
+0.0165717
+0.0156917
+0.0150327
+0.0145225
+0.0142556
+0.0143159
+0.0146397
+0.0152223
+0.0160796
+0.0171498
+0.029193
+0.0283883
+0.0277336
+0.0272345
+0.026876
+0.026693
+0.0266891
+0.0268646
+0.0272138
+0.0277006
+0.0283488
+0.0291476
+0.030085
+0.0311486
+0.0323258
+0.0336048
+0.0349678
+0.0363996
+0.037904
+0.0394004
+0.0409551
+0.0425659
+0.0442265
+0.0442864
+0.0422946
+0.040264
+0.038251
+0.0362586
+0.0342905
+0.0323509
+0.0304454
+0.0285801
+0.0267466
+0.024969
+0.0232621
+0.0216424
+0.0201312
+0.0187262
+0.0174836
+0.0164402
+0.0155818
+0.0149502
+0.0136669
+0.0126205
+0.0118862
+0.0114506
+0.0112804
+0.0111865
+0.0111658
+0.0103716
+0.00993719
+0.00988218
+0.0102252
+0.0109381
+0.0119798
+0.0132475
+0.0140307
+0.012901
+0.011872
+0.0110389
+0.0105291
+0.0102233
+0.0102749
+0.0104846
+0.0107252
+0.0111372
+0.0116202
+0.0124013
+0.013405
+0.0145888
+0.0159191
+0.0170891
+0.0180848
+0.0181284
+0.0184058
+0.0189343
+0.0196879
+0.0206041
+0.0216917
+0.0229115
+0.0242682
+0.025677
+0.0271813
+0.0263628
+0.0248834
+0.0235152
+0.0220163
+0.0204726
+0.0190211
+0.0176697
+0.0164836
+0.0155019
+0.0147201
+0.014121
+0.0138464
+0.0138574
+0.0141916
+0.0147919
+0.0156728
+0.0167689
+0.0312091
+0.0304577
+0.0298484
+0.0293786
+0.0290465
+0.0288773
+0.0288737
+0.0290359
+0.0293612
+0.0298189
+0.030422
+0.0311677
+0.0320462
+0.0330467
+0.0341585
+0.0353713
+0.0366749
+0.0380506
+0.0394922
+0.040999
+0.0424953
+0.0440497
+0.0456564
+0.043882
+0.0418136
+0.0397584
+0.0377185
+0.0356964
+0.0336954
+0.0317195
+0.0297737
+0.0278638
+0.0259836
+0.0241538
+0.0223856
+0.0206974
+0.0191116
+0.0176556
+0.0163426
+0.0152211
+0.0143258
+0.01353
+0.0121391
+0.0109712
+0.0101221
+0.00967443
+0.00964515
+0.00980691
+0.0097713
+0.0088358
+0.00827777
+0.00822661
+0.00864524
+0.00949701
+0.0106989
+0.0120988
+0.0126725
+0.0135626
+0.0135639
+0.0129127
+0.0124822
+0.0123011
+0.0122347
+0.0122425
+0.0125485
+0.0129797
+0.0134966
+0.0141992
+0.0151289
+0.0162413
+0.0175103
+0.0186479
+0.0195266
+0.0195878
+0.0198511
+0.020342
+0.0210506
+0.0219152
+0.022941
+0.0240979
+0.0253913
+0.0268016
+0.0282601
+0.0273869
+0.0255332
+0.0237371
+0.0220125
+0.0203777
+0.0188479
+0.0174461
+0.0162201
+0.0152123
+0.0144684
+0.013998
+0.0137209
+0.013737
+0.0140487
+0.0146549
+0.0155487
+0.0166647
+0.0332473
+0.0325429
+0.0319735
+0.031529
+0.0312198
+0.0310625
+0.0310592
+0.03121
+0.0315128
+0.031947
+0.0325107
+0.0332095
+0.0340353
+0.0349789
+0.0360312
+0.0371829
+0.0384251
+0.0397493
+0.0411358
+0.0425856
+0.0440905
+0.0455905
+0.0456247
+0.043529
+0.041443
+0.0393685
+0.0373072
+0.0352616
+0.0332344
+0.0312293
+0.0292509
+0.0273045
+0.0253829
+0.0235064
+0.0216889
+0.0199465
+0.0182986
+0.0167722
+0.0154069
+0.0142367
+0.0132752
+0.0122488
+0.0107164
+0.00944414
+0.00850758
+0.00800427
+0.00799595
+0.00842519
+0.00828119
+0.00718141
+0.0065467
+0.00648036
+0.00699373
+0.00799834
+0.00934796
+0.010877
+0.0114908
+0.0124368
+0.0136288
+0.0146239
+0.0143079
+0.0142157
+0.0140948
+0.014112
+0.0144157
+0.0148462
+0.0154453
+0.016084
+0.0169437
+0.0175181
+0.0178217
+0.0183831
+0.0191792
+0.0201414
+0.0212817
+0.0218651
+0.0225259
+0.0233255
+0.0242934
+0.0254078
+0.0266377
+0.0279852
+0.0292991
+0.0273997
+0.025547
+0.0237519
+0.0220285
+0.020395
+0.0188665
+0.0174663
+0.0162418
+0.0152354
+0.0144927
+0.0140446
+0.0137969
+0.0137991
+0.0141447
+0.0148049
+0.0156902
+0.0167968
+0.0353037
+0.0346412
+0.0341068
+0.0336847
+0.0333954
+0.0332484
+0.0332453
+0.0333863
+0.0336695
+0.034083
+0.0346119
+0.0352692
+0.0360478
+0.03694
+0.037938
+0.0390335
+0.0402186
+0.0414856
+0.0428272
+0.0442227
+0.0456797
+0.0471828
+0.0453911
+0.0432841
+0.0411858
+0.0390976
+0.0370212
+0.0349588
+0.032913
+0.0308871
+0.0288853
+0.0269124
+0.0249607
+0.0230498
+0.0211931
+0.0194063
+0.0177104
+0.0161327
+0.0147082
+0.0134905
+0.0124856
+0.0111833
+0.00950398
+0.0080422
+0.00697323
+0.00638202
+0.00642425
+0.00701656
+0.00706521
+0.00579217
+0.00501186
+0.00493088
+0.00553889
+0.00670064
+0.00820387
+0.00994533
+0.0105805
+0.0115506
+0.0128252
+0.0143228
+0.0159759
+0.0160702
+0.0160274
+0.0160537
+0.0163264
+0.0167598
+0.0170707
+0.0165891
+0.0163729
+0.0164074
+0.0167311
+0.0173279
+0.0181692
+0.019177
+0.0203714
+0.0217216
+0.0232004
+0.0247849
+0.0257598
+0.0268189
+0.0280002
+0.0292851
+0.0294744
+0.0275871
+0.0257478
+0.0239678
+0.0222611
+0.020646
+0.0191376
+0.0177587
+0.0165528
+0.0155449
+0.0147944
+0.0143422
+0.0141202
+0.0141675
+0.0145043
+0.0151501
+0.0160163
+0.0171147
+0.0373754
+0.0367503
+0.0362468
+0.0358446
+0.0355729
+0.0354349
+0.035432
+0.0355643
+0.0358303
+0.0362256
+0.0367236
+0.0373437
+0.0380799
+0.0389257
+0.0398739
+0.0409176
+0.0420497
+0.0432631
+0.0445512
+0.045906
+0.0473112
+0.0473829
+0.0452625
+0.0431492
+0.041044
+0.0389482
+0.0368634
+0.0347917
+0.0327354
+0.0306978
+0.0286827
+0.0266949
+0.024726
+0.0227955
+0.0209163
+0.0191035
+0.0173781
+0.0157672
+0.0143063
+0.0130512
+0.0120096
+0.0104736
+0.00865768
+0.00702188
+0.00576678
+0.00503198
+0.00508332
+0.00582486
+0.00619792
+0.00475001
+0.00379235
+0.00358531
+0.00434724
+0.00575419
+0.00746223
+0.00934178
+0.00994795
+0.010966
+0.012294
+0.0138431
+0.0155472
+0.0173609
+0.0180139
+0.0180441
+0.0180071
+0.0169956
+0.0162186
+0.0157109
+0.0154825
+0.0155189
+0.0158608
+0.0164891
+0.0173723
+0.0184238
+0.019664
+0.0210596
+0.0225818
+0.0242068
+0.0259152
+0.0276652
+0.029454
+0.0306865
+0.02981
+0.0279454
+0.0261314
+0.0243794
+0.0227037
+0.0211224
+0.0196366
+0.0182765
+0.0170898
+0.016115
+0.0153922
+0.0149536
+0.0147454
+0.0148103
+0.0151423
+0.0157654
+0.0166079
+0.0176753
+0.03946
+0.0388684
+0.0383876
+0.038008
+0.0377519
+0.0376219
+0.0376191
+0.0377438
+0.0379945
+0.0383689
+0.0388441
+0.0394309
+0.0401288
+0.0409322
+0.041835
+0.042831
+0.0439137
+0.0450769
+0.0463147
+0.047621
+0.0489863
+0.0473611
+0.0452398
+0.0431253
+0.0410189
+0.0389217
+0.0368355
+0.0347621
+0.032704
+0.0306642
+0.0286468
+0.0266563
+0.0246843
+0.0227502
+0.0208669
+0.0190495
+0.0173185
+0.0157007
+0.0142336
+0.0129719
+0.0119235
+0.0101074
+0.00822398
+0.00647684
+0.00508561
+0.004268
+0.00431836
+0.00517179
+0.00585521
+0.0042575
+0.00310588
+0.00283848
+0.00379211
+0.00538553
+0.00720525
+0.00911683
+0.00974517
+0.0107833
+0.012131
+0.0136982
+0.0154105
+0.0171969
+0.0190677
+0.018661
+0.0174666
+0.0164339
+0.015629
+0.0151015
+0.0148641
+0.014902
+0.0152577
+0.0159099
+0.016824
+0.0179084
+0.019182
+0.0206103
+0.0221634
+0.0238169
+0.0255512
+0.0273235
+0.0291528
+0.0310046
+0.0303008
+0.0284683
+0.0266899
+0.0249771
+0.0233441
+0.0217809
+0.0203284
+0.0190178
+0.0178803
+0.016951
+0.0162655
+0.0158445
+0.0156548
+0.0157159
+0.0160292
+0.016619
+0.0174517
+0.0184747
+0.0415555
+0.0409941
+0.0405337
+0.0401744
+0.0399322
+0.0398092
+0.0398067
+0.0399245
+0.0401616
+0.040516
+0.0409719
+0.0415287
+0.0421919
+0.0429567
+0.0438179
+0.0447697
+0.0458066
+0.046923
+0.0481132
+0.049372
+0.0495646
+0.0474402
+0.0453218
+0.0432102
+0.0411068
+0.0390131
+0.0369305
+0.0348613
+0.0328078
+0.0307732
+0.0287616
+0.0267771
+0.0248114
+0.0228853
+0.0210111
+0.0192041
+0.0174849
+0.0158822
+0.0144349
+0.0131942
+0.0121545
+0.0101865
+0.00829653
+0.00657139
+0.00518901
+0.00438126
+0.00441156
+0.00524819
+0.00607546
+0.00449315
+0.00338971
+0.0032363
+0.00413743
+0.00566349
+0.00751016
+0.00932432
+0.0099406
+0.0109607
+0.0122888
+0.0138379
+0.0155342
+0.0173078
+0.0191678
+0.0183632
+0.0171481
+0.0160984
+0.0152759
+0.0147358
+0.0145097
+0.0145688
+0.0149324
+0.0155982
+0.0165296
+0.0176518
+0.0189426
+0.0203877
+0.0219566
+0.0236246
+0.0253686
+0.0271486
+0.0289841
+0.0308589
+0.0309392
+0.0291469
+0.0274125
+0.0257441
+0.0241332
+0.0226197
+0.0212246
+0.0199729
+0.0188931
+0.0180161
+0.0173682
+0.0169624
+0.0167898
+0.0168496
+0.0171516
+0.0177041
+0.0184879
+0.0194841
+0.0436603
+0.0431264
+0.0426843
+0.0423432
+0.0421135
+0.041997
+0.0419945
+0.0421062
+0.0423312
+0.0426675
+0.0431061
+0.0436356
+0.0442673
+0.0449969
+0.0458197
+0.0467307
+0.0477251
+0.0487976
+0.0499432
+0.0511569
+0.0497197
+0.0476015
+0.0454901
+0.0433867
+0.0412923
+0.0392084
+0.0371369
+0.0350798
+0.0330399
+0.0310206
+0.0290261
+0.0270609
+0.0251174
+0.0232166
+0.0213715
+0.0195977
+0.0179163
+0.016356
+0.0149546
+0.0137609
+0.0125475
+0.0106525
+0.00885757
+0.00726686
+0.00601771
+0.0052806
+0.0053077
+0.00605474
+0.00684166
+0.00540682
+0.00451402
+0.00441954
+0.00521328
+0.00659183
+0.00825761
+0.00999884
+0.010578
+0.0115483
+0.0128231
+0.0142887
+0.0159099
+0.0176546
+0.0194895
+0.0183243
+0.0171064
+0.016054
+0.0152291
+0.0146872
+0.0144604
+0.0145197
+0.0148845
+0.0155523
+0.0164863
+0.0176185
+0.0189106
+0.0203569
+0.0219271
+0.0235964
+0.0253409
+0.0271225
+0.0289596
+0.030843
+0.0317163
+0.0299706
+0.0282767
+0.0266386
+0.0250849
+0.0236324
+0.0223008
+0.021113
+0.0200946
+0.0192723
+0.0186625
+0.0182714
+0.0181112
+0.0181649
+0.018466
+0.0189803
+0.0197141
+0.0206512
+0.0457732
+0.0452642
+0.0448388
+0.0445143
+0.0442958
+0.044185
+0.0441827
+0.0442889
+0.0445028
+0.0448228
+0.0452457
+0.0457504
+0.0463533
+0.0470505
+0.047838
+0.0487114
+0.0496661
+0.0506975
+0.0518011
+0.0520833
+0.0499692
+0.0478621
+0.0457628
+0.0436725
+0.0415925
+0.0395245
+0.0374704
+0.0354326
+0.0334143
+0.031419
+0.0294516
+0.0275167
+0.0256077
+0.0237463
+0.0219457
+0.0202223
+0.0185975
+0.0170994
+0.0157643
+0.0146367
+0.0132595
+0.0114523
+0.0097934
+0.00838221
+0.00732355
+0.00673156
+0.00675543
+0.00735623
+0.00803028
+0.0068127
+0.00611958
+0.00605022
+0.0067122
+0.00784527
+0.00936169
+0.0110236
+0.0115496
+0.0124444
+0.0136357
+0.0150111
+0.0165617
+0.0182442
+0.0199141
+0.0185426
+0.01734
+0.0163065
+0.015495
+0.0149628
+0.0147402
+0.0147983
+0.0151565
+0.0158128
+0.0167322
+0.017849
+0.0191255
+0.0205567
+0.0221127
+0.023769
+0.0255018
+0.027273
+0.0291006
+0.0309753
+0.0326224
+0.0309123
+0.0292577
+0.0276777
+0.0261858
+0.0247978
+0.0235322
+0.0224098
+0.021453
+0.0206807
+0.0201128
+0.0197373
+0.0195881
+0.019637
+0.0199267
+0.0204052
+0.021097
+0.0219752
+0.0478931
+0.0474055
+0.0469966
+0.0466871
+0.0464789
+0.0463733
+0.0463711
+0.0464723
+0.0466762
+0.0469814
+0.0473861
+0.047872
+0.0484485
+0.049116
+0.0498709
+0.0507092
+0.051627
+0.05262
+0.0536841
+0.0524132
+0.0503131
+0.0482209
+0.046138
+0.0440654
+0.0420049
+0.0399582
+0.0379276
+0.0359159
+0.0339263
+0.031963
+0.0300312
+0.0281361
+0.0262721
+0.0244613
+0.0227175
+0.0210573
+0.0195022
+0.0180793
+0.0168207
+0.015767
+0.0142402
+0.0125673
+0.0110765
+0.00985088
+0.00889717
+0.00841719
+0.00844021
+0.00895934
+0.00954434
+0.00853883
+0.00797242
+0.0079193
+0.00845397
+0.00941279
+0.0107095
+0.0122631
+0.0127421
+0.0135597
+0.0146619
+0.0159898
+0.0174658
+0.0190686
+0.020319
+0.0189767
+0.0178034
+0.0168348
+0.0160581
+0.0155452
+0.0153311
+0.015387
+0.0157317
+0.016365
+0.017255
+0.0183382
+0.0195845
+0.0209846
+0.022511
+0.02414
+0.025848
+0.027597
+0.0294045
+0.031261
+0.0331584
+0.0319626
+0.0303653
+0.028846
+0.0274177
+0.0260954
+0.0248959
+0.0238377
+0.0229405
+0.0222154
+0.0216858
+0.0213278
+0.0211883
+0.0212335
+0.021503
+0.0219565
+0.0226041
+0.0234296
+0.0500191
+0.0495484
+0.0491574
+0.0488616
+0.0486626
+0.0485618
+0.0485597
+0.0486563
+0.0488511
+0.0491428
+0.0495299
+0.0499996
+0.0505518
+0.0511919
+0.0519166
+0.0527225
+0.0536058
+0.0545628
+0.0549233
+0.052832
+0.0507492
+0.0486758
+0.0466132
+0.0445628
+0.0425263
+0.040506
+0.0385043
+0.0365244
+0.0345698
+0.0326452
+0.0307563
+0.0289087
+0.0270978
+0.0253461
+0.0236675
+0.0220785
+0.0205992
+0.019256
+0.0180792
+0.017087
+0.0154633
+0.013938
+0.0126103
+0.0114934
+0.0106859
+0.0102897
+0.0103101
+0.0107392
+0.0112408
+0.0104006
+0.00996334
+0.00992089
+0.0103527
+0.0111916
+0.0123022
+0.0136761
+0.0141727
+0.0149121
+0.0159209
+0.0171516
+0.0185601
+0.0200991
+0.0209463
+0.0196469
+0.0185162
+0.0175868
+0.0168619
+0.0163742
+0.0161711
+0.016251
+0.0165778
+0.0171799
+0.0180242
+0.0190545
+0.0202567
+0.0216147
+0.023101
+0.0246924
+0.0263698
+0.0280887
+0.0298664
+0.0316959
+0.0335687
+0.0331247
+0.0315862
+0.0301285
+0.028764
+0.0275064
+0.0263712
+0.0253747
+0.0245299
+0.0238527
+0.0233498
+0.0230171
+0.0228865
+0.0229284
+0.0231781
+0.0236094
+0.0242128
+0.0249917
+0.0521504
+0.0516954
+0.0513207
+0.0510374
+0.050847
+0.0507505
+0.0507485
+0.0508409
+0.0510274
+0.0513067
+0.0516776
+0.0521324
+0.0526623
+0.053277
+0.0539737
+0.0547493
+0.0556004
+0.0565237
+0.0554098
+0.0533376
+0.0512753
+0.0492241
+0.0471854
+0.045161
+0.0431528
+0.0411633
+0.0391951
+0.0372519
+0.0353376
+0.0334572
+0.0316169
+0.0298225
+0.0280706
+0.0263825
+0.0247732
+0.023259
+0.0218597
+0.0205989
+0.0195018
+0.0184251
+0.0168832
+0.0154983
+0.014291
+0.0132938
+0.0126022
+0.0122681
+0.0122864
+0.0126486
+0.0130847
+0.0123704
+0.0120184
+0.0119888
+0.0123485
+0.0130705
+0.0140379
+0.0152562
+0.0157787
+0.016446
+0.0173659
+0.0185008
+0.0198136
+0.0212715
+0.0217769
+0.0205301
+0.0194508
+0.0185582
+0.0178726
+0.0174132
+0.0172224
+0.0173001
+0.0176074
+0.0181754
+0.0189733
+0.0199669
+0.0211357
+0.0224405
+0.0238755
+0.0254184
+0.0270509
+0.0287394
+0.0304792
+0.032274
+0.034115
+0.0343872
+0.0329078
+0.0315113
+0.0302093
+0.0290144
+0.0279405
+0.027002
+0.0262058
+0.025573
+0.0250943
+0.024785
+0.0246625
+0.0247013
+0.0249333
+0.025344
+0.025907
+0.0266388
+0.0542865
+0.0538458
+0.0534862
+0.0532144
+0.0530318
+0.0529393
+0.0529374
+0.053026
+0.0532048
+0.0534728
+0.0538287
+0.0542698
+0.054779
+0.0553703
+0.056041
+0.0567883
+0.0576093
+0.0580384
+0.0559778
+0.0539275
+0.0518886
+0.0498627
+0.0478512
+0.0458562
+0.0438798
+0.0419248
+0.0399942
+0.0380917
+0.0362218
+0.0343898
+0.0326021
+0.0308642
+0.0291733
+0.0275528
+0.0260159
+0.0245784
+0.0232587
+0.0220779
+0.0210292
+0.0198747
+0.0184543
+0.0171873
+0.0160717
+0.0151918
+0.0145905
+0.0143029
+0.0143216
+0.0146336
+0.0150221
+0.0144042
+0.0141031
+0.0140758
+0.0143834
+0.0150078
+0.0158813
+0.0169678
+0.0175119
+0.0181155
+0.0189546
+0.0199995
+0.0212198
+0.0225871
+0.0227839
+0.0215953
+0.0205685
+0.019726
+0.0190823
+0.0186528
+0.0184747
+0.0185472
+0.0188342
+0.0193663
+0.0201169
+0.0210567
+0.0221738
+0.023442
+0.0248197
+0.0263072
+0.0278749
+0.0295221
+0.0312259
+0.0329792
+0.0347821
+0.0357395
+0.0343184
+0.0329817
+0.0317401
+0.0306051
+0.029589
+0.0287008
+0.027953
+0.0273607
+0.0269042
+0.0266159
+0.0265006
+0.0265367
+0.0267528
+0.0271437
+0.027671
+0.0283574
+0.0564267
+0.0559994
+0.0556537
+0.0553926
+0.0552172
+0.0551283
+0.0551265
+0.0552116
+0.0553833
+0.0556409
+0.055983
+0.0564082
+0.0569014
+0.0574708
+0.0581172
+0.0588382
+0.059631
+0.0586628
+0.056625
+0.054599
+0.0525861
+0.0505881
+0.0486067
+0.046644
+0.0447025
+0.042785
+0.040895
+0.0390365
+0.0372141
+0.0354335
+0.0337002
+0.0320093
+0.0303821
+0.0288296
+0.0273646
+0.0260017
+0.024758
+0.0236437
+0.0226578
+0.0214384
+0.0201286
+0.0189471
+0.0179412
+0.0171575
+0.0166274
+0.0163756
+0.016392
+0.0166652
+0.017021
+0.0164783
+0.0162138
+0.0161878
+0.0164559
+0.0170044
+0.0178034
+0.0187793
+0.0193382
+0.0198865
+0.0206537
+0.0216166
+0.0227503
+0.0240308
+0.023946
+0.022818
+0.0218488
+0.0210575
+0.0204556
+0.0200555
+0.01989
+0.0199575
+0.0202245
+0.0207209
+0.0214241
+0.0223089
+0.0233662
+0.0245738
+0.0259043
+0.0273199
+0.0288326
+0.0304279
+0.0320835
+0.0337923
+0.0355541
+0.0371718
+0.0358076
+0.0345286
+0.0333446
+0.0322661
+0.0313037
+0.0304624
+0.029759
+0.0291987
+0.028767
+0.0284977
+0.0283888
+0.0284225
+0.0286244
+0.0289909
+0.0294923
+0.0301372
+0.0585686
+0.0581557
+0.0578229
+0.0575716
+0.0574029
+0.0573175
+0.0573157
+0.0573976
+0.0575628
+0.0578106
+0.0581399
+0.0585494
+0.0590287
+0.0595778
+0.0602016
+0.0608979
+0.0613868
+0.0593616
+0.0573486
+0.055349
+0.0533645
+0.0513968
+0.0494477
+0.0475198
+0.0456156
+0.0437382
+0.0418912
+0.0400789
+0.0383061
+0.0365714
+0.0348819
+0.0332509
+0.0316875
+0.0302022
+0.028807
+0.0275157
+0.0263388
+0.0252911
+0.0243719
+0.0231014
+0.0218833
+0.0207889
+0.0198764
+0.019172
+0.0186991
+0.0184755
+0.01849
+0.0187327
+0.0190622
+0.0185791
+0.0183413
+0.0183182
+0.0185556
+0.0190437
+0.019764
+0.0206643
+0.0212335
+0.021734
+0.0224382
+0.0233275
+0.0243819
+0.0255807
+0.025245
+0.0241777
+0.0232652
+0.0225237
+0.0219484
+0.0215759
+0.0214222
+0.0214914
+0.0217416
+0.0222041
+0.0228669
+0.0236979
+0.0246958
+0.0258413
+0.0271092
+0.0284653
+0.0299202
+0.0314604
+0.0330642
+0.0347248
+0.0364415
+0.0382067
+0.037366
+0.0361422
+0.0350128
+0.0339872
+0.0330718
+0.0322766
+0.0316136
+0.0310785
+0.0306732
+0.0304207
+0.0303177
+0.0303493
+0.0305385
+0.0308822
+0.0313609
+0.0319681
+0.0607128
+0.0603146
+0.0599937
+0.0597516
+0.059589
+0.0595067
+0.059505
+0.0595839
+0.059743
+0.0599818
+0.0602993
+0.0606943
+0.0611605
+0.0616906
+0.0622933
+0.0629665
+0.0621321
+0.0601321
+0.0581457
+0.0561746
+0.0542203
+0.0522848
+0.0503701
+0.0484789
+0.0466138
+0.0447783
+0.0429761
+0.0412105
+0.0394766
+0.03779
+0.0361575
+0.0345868
+0.0330865
+0.0316669
+0.0303392
+0.0291142
+0.027999
+0.0270157
+0.0261034
+0.0248464
+0.0236995
+0.0226928
+0.0218599
+0.0212214
+0.0207952
+0.0205944
+0.0206074
+0.0208254
+0.0211333
+0.0206986
+0.0204821
+0.0204614
+0.0206743
+0.0211134
+0.0217653
+0.0226044
+0.023181
+0.0236403
+0.0242892
+0.0251131
+0.0260954
+0.0272189
+0.026661
+0.0256527
+0.0247945
+0.0240922
+0.0235505
+0.0232038
+0.0230609
+0.0231256
+0.0233622
+0.0237932
+0.0244139
+0.025201
+0.0261416
+0.027225
+0.0284194
+0.0297274
+0.0311242
+0.0326076
+0.0341575
+0.0357674
+0.0374363
+0.0391566
+0.0389851
+0.0378138
+0.0367358
+0.0357592
+0.0348879
+0.0341351
+0.0335088
+0.0329966
+0.0326152
+0.0323779
+0.0322801
+0.0323098
+0.0324875
+0.0328108
+0.0332688
+0.0338418
+0.0628601
+0.0624756
+0.0621659
+0.0619323
+0.0617754
+0.061696
+0.0616944
+0.0617705
+0.061924
+0.0621544
+0.0624609
+0.0628423
+0.0632964
+0.0638087
+0.0643916
+0.0649323
+0.062945
+0.0609716
+0.0590135
+0.0570723
+0.0551499
+0.0532481
+0.0513694
+0.0495163
+0.0476919
+0.0458995
+0.0441368
+0.0424092
+0.0407262
+0.0390936
+0.0375178
+0.0360064
+0.0345679
+0.0332117
+0.0319482
+0.0307806
+0.029728
+0.0288038
+0.0278326
+0.0266523
+0.0255743
+0.0246443
+0.0238797
+0.0232966
+0.022909
+0.0227269
+0.0227387
+0.0229365
+0.0232263
+0.0228315
+0.0226324
+0.0226138
+0.0228065
+0.0232053
+0.0238
+0.0245762
+0.0251684
+0.0255921
+0.0261928
+0.0269585
+0.0278759
+0.0289303
+0.0281663
+0.0272138
+0.0264091
+0.0257474
+0.0252412
+0.0249181
+0.024785
+0.0248452
+0.0250695
+0.0254717
+0.0260525
+0.026799
+0.0276854
+0.0286977
+0.0298331
+0.0310817
+0.0324304
+0.0338579
+0.0353529
+0.0369106
+0.0385301
+0.0402036
+0.0406579
+0.0395362
+0.0385065
+0.0375732
+0.0367449
+0.0360309
+0.0354377
+0.0349468
+0.0345869
+0.0343632
+0.0342701
+0.0342981
+0.0344655
+0.0347705
+0.0352088
+0.0357515
+0.0650104
+0.0646386
+0.0643394
+0.0641136
+0.0639621
+0.0638855
+0.0638839
+0.0639574
+0.0641057
+0.0643283
+0.0646244
+0.0649931
+0.0654331
+0.0659316
+0.0664958
+0.0657835
+0.0638227
+0.0618773
+0.0599488
+0.0580389
+0.0561495
+0.0542828
+0.0524412
+0.0506274
+0.0488435
+0.0470849
+0.0453638
+0.0436848
+0.0420529
+0.0404738
+0.0389539
+0.0375004
+0.0361214
+0.0348257
+0.0336176
+0.0325093
+0.0315144
+0.0306442
+0.029623
+0.0285014
+0.0274959
+0.0266331
+0.0259272
+0.0253912
+0.025036
+0.0248695
+0.0248803
+0.0250611
+0.0253359
+0.0249744
+0.0247898
+0.0247728
+0.0249488
+0.025314
+0.0258602
+0.0265762
+0.0271872
+0.0275798
+0.0281381
+0.0288523
+0.0297112
+0.0307027
+0.0297452
+0.0288449
+0.0280869
+0.0274775
+0.0270039
+0.0267021
+0.026578
+0.0266341
+0.0268472
+0.0272231
+0.0277672
+0.02847
+0.0293027
+0.0302573
+0.0313363
+0.0325273
+0.0338183
+0.0351985
+0.0366403
+0.0381455
+0.0397146
+0.0413403
+0.042378
+0.0413029
+0.0403177
+0.0394254
+0.0386368
+0.0379584
+0.0373899
+0.036924
+0.0365835
+0.0363721
+0.0362833
+0.0363097
+0.0364679
+0.0367562
+0.0371717
+0.0376919
+0.0671632
+0.0668035
+0.066514
+0.0662956
+0.0661491
+0.066075
+0.0660735
+0.0661445
+0.0662879
+0.0665032
+0.0667897
+0.0671465
+0.0675725
+0.0680587
+0.0686055
+0.0666958
+0.0647626
+0.0628463
+0.0609485
+0.059071
+0.0572157
+0.0553849
+0.0535812
+0.0518018
+0.0500512
+0.0483364
+0.0466615
+0.0450309
+0.0434495
+0.0419231
+0.0404577
+0.0390602
+0.0377383
+0.0364971
+0.0353433
+0.0342908
+0.0333491
+0.032528
+0.031461
+0.0303959
+0.0294552
+0.0286514
+0.0279964
+0.0275007
+0.0271732
+0.0270198
+0.0270297
+0.0271963
+0.0274581
+0.027125
+0.0269526
+0.0269369
+0.0270989
+0.0274355
+0.0279402
+0.0286043
+0.0292299
+0.0295952
+0.0301157
+0.0307837
+0.0315897
+0.0323752
+0.0313976
+0.030546
+0.0298313
+0.0292635
+0.0288254
+0.0285428
+0.0284267
+0.0284782
+0.0286686
+0.029021
+0.029532
+0.0301937
+0.030987
+0.0318913
+0.0329168
+0.0340525
+0.0352878
+0.0366126
+0.0380105
+0.0394635
+0.0409822
+0.0425594
+0.0441397
+0.0431086
+0.0421632
+0.0413107
+0.0405588
+0.0399131
+0.0393662
+0.038924
+0.0386012
+0.0384009
+0.0383159
+0.0383409
+0.0384908
+0.0387641
+0.0391582
+0.0396583
+0.0693185
+0.06897
+0.0686896
+0.0684782
+0.0683364
+0.0682646
+0.0682631
+0.0683319
+0.0684707
+0.0686792
+0.0689566
+0.0693023
+0.069715
+0.0701897
+0.0695883
+0.0676668
+0.0657621
+0.0638758
+0.0620095
+0.0601651
+0.0583446
+0.0565496
+0.0547755
+0.0530325
+0.0513238
+0.049653
+0.0480241
+0.0464413
+0.0449097
+0.0434345
+0.0420219
+0.0406782
+0.0394097
+0.0382183
+0.0371181
+0.0361173
+0.0352245
+0.0344338
+0.0333314
+0.0323278
+0.0314449
+0.0306933
+0.0300828
+0.0296221
+0.0293182
+0.0291762
+0.0291854
+0.0293397
+0.0295904
+0.0292815
+0.0291195
+0.029105
+0.0292551
+0.029567
+0.030036
+0.0306547
+0.0312839
+0.0316252
+0.0321127
+0.0327397
+0.0334986
+0.0340409
+0.0331125
+0.0323062
+0.0316313
+0.0310964
+0.0306863
+0.0304211
+0.0303122
+0.0303551
+0.0305313
+0.0308624
+0.0313434
+0.0319677
+0.032727
+0.0335888
+0.0345639
+0.0356472
+0.036829
+0.0381003
+0.0394523
+0.0408565
+0.0423252
+0.0438542
+0.0454374
+0.0449478
+0.0440403
+0.0432249
+0.0425069
+0.0418912
+0.0413642
+0.0409436
+0.0406368
+0.0404466
+0.0403651
+0.0403888
+0.0405311
+0.0407908
+0.0411655
+0.0416471
+0.0714758
+0.0711379
+0.0708661
+0.0706612
+0.0705238
+0.0704543
+0.0704528
+0.0705194
+0.070654
+0.070856
+0.071125
+0.0714601
+0.0718605
+0.0723243
+0.0705875
+0.0686939
+0.0668186
+0.0649629
+0.0631288
+0.061318
+0.059528
+0.0577622
+0.0560265
+0.0543236
+0.0526569
+0.0510298
+0.0494462
+0.0479104
+0.0464273
+0.0450019
+0.04364
+0.0423477
+0.0411258
+0.0399855
+0.0389352
+0.0379824
+0.0371345
+0.0362935
+0.0352386
+0.0342908
+0.0334598
+0.0327545
+0.0321831
+0.0317528
+0.0314696
+0.0313372
+0.0313458
+0.0314896
+0.0317306
+0.0314428
+0.0312898
+0.0312763
+0.0314159
+0.0317067
+0.0321444
+0.0327233
+0.0333545
+0.0336748
+0.034133
+0.0347236
+0.03544
+0.0357633
+0.0348808
+0.0341162
+0.0334779
+0.0329725
+0.0325798
+0.03233
+0.0322276
+0.0322692
+0.032435
+0.0327469
+0.0332006
+0.0337906
+0.0345098
+0.0353405
+0.0362686
+0.0373024
+0.0384334
+0.0396532
+0.040954
+0.0423129
+0.0437329
+0.0452145
+0.0467519
+0.0468126
+0.045942
+0.0451609
+0.0444741
+0.0438856
+0.0433808
+0.0429799
+0.0426878
+0.0425067
+0.0424284
+0.042451
+0.0425864
+0.0428336
+0.0431906
+0.0436544
+0.0736352
+0.0733072
+0.0730435
+0.0728447
+0.0727114
+0.072644
+0.0726426
+0.0727072
+0.0728377
+0.0730337
+0.0732947
+0.0736199
+0.0740087
+0.0735226
+0.0716397
+0.0697747
+0.0679292
+0.0661047
+0.0643023
+0.0625179
+0.0607601
+0.0590312
+0.0573339
+0.0556711
+0.0540459
+0.0524619
+0.0509228
+0.049433
+0.0479969
+0.0466196
+0.0453063
+0.0440592
+0.0428851
+0.0417928
+0.0407891
+0.0398806
+0.0390739
+0.0381789
+0.0371771
+0.0362799
+0.0354955
+0.0348314
+0.0342946
+0.0338912
+0.033626
+0.0335022
+0.0335102
+0.0336447
+0.0338773
+0.0336078
+0.0334627
+0.0334501
+0.0335807
+0.0338529
+0.0342632
+0.0348068
+0.0354395
+0.0357411
+0.0361732
+0.036731
+0.037409
+0.0375346
+0.0366946
+0.0359687
+0.0353638
+0.0348803
+0.0345084
+0.0342727
+0.0341762
+0.0342165
+0.034373
+0.0346674
+0.0350963
+0.0356549
+0.0363372
+0.0371359
+0.038021
+0.0390084
+0.0400913
+0.0412621
+0.0425092
+0.0438135
+0.0451863
+0.0466218
+0.0481142
+0.0487007
+0.0478644
+0.0471152
+0.0464574
+0.0458947
+0.0454135
+0.0450307
+0.044752
+0.0445793
+0.0445039
+0.0445254
+0.0446546
+0.0448904
+0.0452311
+0.0456746
+0.0757964
+0.0754778
+0.0752217
+0.0750286
+0.0748992
+0.0748338
+0.0748324
+0.0748952
+0.0750218
+0.0752121
+0.0754656
+0.0757815
+0.0761592
+0.0745978
+0.0727427
+0.0709068
+0.0690915
+0.0672942
+0.065518
+0.0637676
+0.0620451
+0.0603531
+0.058694
+0.0570708
+0.0554867
+0.053945
+0.0524495
+0.0510042
+0.0496136
+0.0482824
+0.0470138
+0.0458106
+0.0446825
+0.0436353
+0.0426749
+0.0418074
+0.0410376
+0.0400949
+0.0391421
+0.0382911
+0.0375487
+0.0369215
+0.0364156
+0.0360359
+0.0357866
+0.0356703
+0.0356778
+0.0358042
+0.0360292
+0.035776
+0.0356378
+0.035626
+0.0357486
+0.0360044
+0.0363905
+0.0369028
+0.0375362
+0.0378215
+0.03823
+0.0387582
+0.0394013
+0.039348
+0.0385476
+0.0378573
+0.037283
+0.0368188
+0.0364667
+0.0362437
+0.0361524
+0.0361917
+0.0363396
+0.0366182
+0.0370245
+0.0375545
+0.0382029
+0.0389604
+0.0398071
+0.0407512
+0.041789
+0.0429135
+0.044112
+0.0453702
+0.0466973
+0.0480877
+0.0495359
+0.0506132
+0.0498091
+0.0490896
+0.0484585
+0.0479194
+0.0474597
+0.0470936
+0.0468271
+0.0466621
+0.04659
+0.0466105
+0.0467339
+0.0469593
+0.0472851
+0.0477095
+0.0779592
+0.0776494
+0.0774005
+0.0772129
+0.0770872
+0.0770236
+0.0770223
+0.0770832
+0.0772063
+0.0773913
+0.0776376
+0.0779447
+0.0775669
+0.0757211
+0.0738942
+0.0720868
+0.0702952
+0.0685267
+0.0667833
+0.065067
+0.0633799
+0.0617244
+0.0601032
+0.0585191
+0.0569752
+0.0554749
+0.0540218
+0.0526197
+0.051273
+0.0499857
+0.0487575
+0.0475984
+0.0465137
+0.0455086
+0.0445886
+0.0437591
+0.0430185
+0.0420378
+0.04113
+0.0403209
+0.0396166
+0.0390227
+0.0385443
+0.0381858
+0.0379506
+0.037841
+0.037848
+0.0379672
+0.0381856
+0.0379467
+0.0378147
+0.0378035
+0.0379192
+0.0381604
+0.0385249
+0.0390092
+0.0396089
+0.0399136
+0.0403009
+0.0408023
+0.0414137
+0.0411982
+0.0404344
+0.0397768
+0.0392307
+0.0387842
+0.03845
+0.0382387
+0.0381521
+0.0381904
+0.0383305
+0.0385948
+0.0389805
+0.0394842
+0.0401014
+0.0408209
+0.0416312
+0.0425354
+0.0435306
+0.0446113
+0.0457635
+0.0469775
+0.0482605
+0.049607
+0.0510122
+0.052375
+0.0517733
+0.0510815
+0.0504754
+0.0499575
+0.0495133
+0.0491625
+0.0489073
+0.0487494
+0.0486852
+0.0487049
+0.048823
+0.0490387
+0.0493509
+0.0497576
+0.0801235
+0.0798222
+0.07958
+0.0793976
+0.0792753
+0.0792135
+0.0792122
+0.0792715
+0.0793912
+0.079571
+0.0798106
+0.0801094
+0.0787088
+0.0768905
+0.075088
+0.0733042
+0.0715431
+0.0698063
+0.0680957
+0.0664132
+0.0647612
+0.063142
+0.0615581
+0.0600125
+0.058508
+0.057048
+0.055636
+0.0542756
+0.052971
+0.051722
+0.050536
+0.0494186
+0.0483748
+0.0474092
+0.0465268
+0.0457324
+0.0449604
+0.0440039
+0.0431375
+0.0423668
+0.041697
+0.0411332
+0.0406796
+0.0403401
+0.0401175
+0.0400138
+0.0400205
+0.0401332
+0.0403456
+0.0401197
+0.0399931
+0.0399826
+0.0400919
+0.0403201
+0.0406652
+0.0411243
+0.0416936
+0.0420158
+0.0423839
+0.042861
+0.0434434
+0.0430803
+0.0423505
+0.0417231
+0.0412027
+0.0407725
+0.0404548
+0.0402539
+0.0401717
+0.0402089
+0.0403422
+0.0405933
+0.0409603
+0.0414399
+0.0420284
+0.0427127
+0.0434877
+0.044356
+0.0453113
+0.0463505
+0.0474587
+0.0486304
+0.0498709
+0.0511751
+0.0525383
+0.0537813
+0.0537551
+0.0530891
+0.0525062
+0.0520047
+0.0515778
+0.0512411
+0.0509963
+0.0508448
+0.0507875
+0.0508074
+0.0509206
+0.0511275
+0.0514269
+0.0518174
+0.0822892
+0.0819958
+0.0817601
+0.0815826
+0.0814636
+0.0814034
+0.0814021
+0.0814598
+0.0815763
+0.0817514
+0.0819846
+0.0817047
+0.0798936
+0.0780968
+0.0763204
+0.0745662
+0.0728356
+0.0711303
+0.0694523
+0.0678036
+0.0661862
+0.0646027
+0.0630556
+0.0615475
+0.0600815
+0.0586607
+0.0572884
+0.0559683
+0.0547014
+0.0534917
+0.0523457
+0.0512679
+0.0502624
+0.0493338
+0.0484864
+0.0477222
+0.0469063
+0.0459903
+0.045162
+0.0444264
+0.0437882
+0.0432516
+0.0428205
+0.0424981
+0.0422869
+0.0421885
+0.0421949
+0.0423018
+0.0425088
+0.0422944
+0.0421728
+0.0421628
+0.0422665
+0.042483
+0.0428107
+0.043247
+0.0437887
+0.0441266
+0.0444772
+0.0449321
+0.045488
+0.0449904
+0.0442921
+0.0436925
+0.0431924
+0.0427806
+0.0424779
+0.0422866
+0.0422084
+0.0422438
+0.0423716
+0.0426108
+0.0429605
+0.043418
+0.0439801
+0.0446318
+0.0453741
+0.0462077
+0.0471255
+0.0481255
+0.0491931
+0.0503244
+0.0515241
+0.0527875
+0.0541101
+0.0552388
+0.0557526
+0.0551107
+0.0545493
+0.0540628
+0.0536522
+0.0533286
+0.0530935
+0.052948
+0.052893
+0.052917
+0.0530257
+0.0532244
+0.0535122
+0.0538875
+0.0902646
+0.0889153
+0.0875921
+0.0863041
+0.0850113
+0.0836894
+0.0823802
+0.0811091
+0.0798778
+0.0786576
+0.0774154
+0.076216
+0.0750613
+0.0739486
+0.0728722
+0.0717784
+0.0707177
+0.0696784
+0.0686711
+0.0677057
+0.0666593
+0.0656694
+0.0647335
+0.0637982
+0.0628805
+0.0620189
+0.0612235
+0.0604585
+0.0597268
+0.0590673
+0.0583465
+0.057652
+0.0569769
+0.0563788
+0.0558554
+0.0553516
+0.0549306
+0.0545695
+0.0542593
+0.0540279
+0.0538847
+0.0538195
+0.0536297
+0.0535183
+0.0534782
+0.053522
+0.0536003
+0.0537536
+0.0539419
+0.0541858
+0.0545003
+0.0548999
+0.0553605
+0.0558926
+0.0565046
+0.0571941
+0.0579582
+0.0587659
+0.0596268
+0.058839
+0.0577093
+0.0566418
+0.0556401
+0.0547079
+0.0538487
+0.053066
+0.0523634
+0.0517441
+0.051211
+0.050767
+0.0504143
+0.0501549
+0.0499903
+0.0499213
+0.0499484
+0.0500572
+0.050257
+0.0505511
+0.0509378
+0.051415
+0.0519802
+0.0526169
+0.0533322
+0.0540776
+0.0548811
+0.0557592
+0.0567084
+0.0577166
+0.0587817
+0.059908
+0.0610314
+0.0622116
+0.0634456
+0.0646788
+0.0659552
+0.0672656
+0.0686208
+0.0700124
+0.071437
+0.0728996
+0.0886332
+0.0872828
+0.0859405
+0.0846275
+0.0833512
+0.0820584
+0.080737
+0.0794395
+0.078182
+0.0769662
+0.0757477
+0.0745214
+0.07334
+0.0722036
+0.071106
+0.0700399
+0.0689582
+0.0679242
+0.066893
+0.0659159
+0.0649431
+0.0639267
+0.062969
+0.0620583
+0.0611226
+0.0602364
+0.0594172
+0.0586684
+0.0579828
+0.0572708
+0.0565599
+0.0558521
+0.0551661
+0.0545482
+0.0540121
+0.0535011
+0.0530654
+0.0526937
+0.0523815
+0.0521539
+0.0520055
+0.0519407
+0.0517894
+0.0516851
+0.0516456
+0.0516909
+0.0518046
+0.0519632
+0.0522038
+0.0524558
+0.0527858
+0.053197
+0.0536773
+0.0542259
+0.0548566
+0.0555665
+0.0563471
+0.0571746
+0.0580627
+0.0572498
+0.056088
+0.0549891
+0.0539567
+0.0529949
+0.0521074
+0.0512982
+0.0505711
+0.0499295
+0.0493768
+0.0489161
+0.04855
+0.0482806
+0.0481096
+0.0480379
+0.0480661
+0.0481791
+0.0483867
+0.0486921
+0.0490934
+0.0495884
+0.0501705
+0.0508258
+0.0515464
+0.0522971
+0.0531275
+0.0540341
+0.0550131
+0.0560512
+0.0571474
+0.0582445
+0.0593993
+0.0606084
+0.061815
+0.0630699
+0.0643644
+0.0657065
+0.067091
+0.0685062
+0.0699615
+0.0713694
+0.0870263
+0.0856506
+0.0843093
+0.0829748
+0.0816729
+0.080407
+0.0791165
+0.0777959
+0.0765113
+0.0752686
+0.0740698
+0.0728527
+0.0716438
+0.0704823
+0.0693586
+0.0682854
+0.0672241
+0.066163
+0.06514
+0.0641363
+0.0631925
+0.0622122
+0.0612288
+0.0603042
+0.0593856
+0.0584816
+0.0576375
+0.0568652
+0.0561679
+0.0554668
+0.0548026
+0.0540718
+0.0533838
+0.0527451
+0.0521905
+0.0516772
+0.051226
+0.050843
+0.0505195
+0.0502894
+0.0501515
+0.0500747
+0.0499774
+0.0498693
+0.0498419
+0.0498889
+0.0500288
+0.0502046
+0.0504634
+0.0507613
+0.0511077
+0.0515269
+0.0520229
+0.0525977
+0.0532477
+0.0539788
+0.0547731
+0.055624
+0.0565403
+0.0557013
+0.0545066
+0.0533751
+0.0523109
+0.0513182
+0.0504013
+0.0495642
+0.0488112
+0.0481462
+0.0475728
+0.0470945
+0.0467141
+0.046434
+0.0462562
+0.0461816
+0.0462109
+0.0463274
+0.0465433
+0.0468607
+0.0472775
+0.0477913
+0.048388
+0.0490671
+0.0497717
+0.0505488
+0.0514075
+0.0523439
+0.0533538
+0.054423
+0.0554906
+0.0566169
+0.0577921
+0.0589749
+0.0602051
+0.0614819
+0.0628092
+0.0641838
+0.0655909
+0.067036
+0.0684465
+0.0698389
+0.0854453
+0.0840437
+0.0826764
+0.0813452
+0.0800191
+0.0787293
+0.0774741
+0.0761798
+0.0748674
+0.073597
+0.0723705
+0.0711904
+0.0699698
+0.0687801
+0.0676371
+0.0665361
+0.06549
+0.0644281
+0.0633959
+0.0623828
+0.0614121
+0.0604968
+0.0595173
+0.05857
+0.0576772
+0.056756
+0.055887
+0.0550902
+0.0543701
+0.0536916
+0.0530126
+0.0523179
+0.051633
+0.0509723
+0.0503982
+0.0498828
+0.0494152
+0.0490205
+0.0486848
+0.0484459
+0.0483054
+0.048236
+0.0481969
+0.0480848
+0.0480704
+0.0481191
+0.0482673
+0.048476
+0.0487491
+0.0491061
+0.0494697
+0.0498971
+0.0504091
+0.0510101
+0.0516816
+0.0524288
+0.0532428
+0.0541178
+0.0550626
+0.0541972
+0.0529686
+0.0518035
+0.0507063
+0.0496816
+0.0487338
+0.0478676
+0.0470875
+0.0463978
+0.0458026
+0.0453055
+0.04491
+0.0446186
+0.0444335
+0.0443559
+0.0443864
+0.0445058
+0.0447304
+0.0450606
+0.0454939
+0.0460276
+0.0466402
+0.0473145
+0.0480314
+0.0488362
+0.0497245
+0.050692
+0.0517342
+0.052775
+0.0538689
+0.055006
+0.0561595
+0.0573645
+0.0586213
+0.0599319
+0.0612927
+0.0626891
+0.064125
+0.0655398
+0.0669209
+0.0683443
+0.0838729
+0.0824638
+0.0810698
+0.0797117
+0.0783913
+0.0770747
+0.075798
+0.0745547
+0.0732498
+0.0719507
+0.0706957
+0.0694871
+0.0683251
+0.0671062
+0.0659375
+0.0648137
+0.0637393
+0.0627112
+0.0616609
+0.0606577
+0.0596589
+0.058725
+0.0578345
+0.0568635
+0.0559474
+0.0550553
+0.0541685
+0.0533461
+0.0526021
+0.0519399
+0.051246
+0.0505884
+0.0498997
+0.0492332
+0.0486385
+0.0481212
+0.0476364
+0.0472292
+0.0468807
+0.0466326
+0.0464865
+0.0464279
+0.0464082
+0.0463351
+0.0463222
+0.0463853
+0.046539
+0.0467788
+0.0470744
+0.0474482
+0.0478661
+0.0483117
+0.0488403
+0.0494604
+0.0501536
+0.0509223
+0.0517599
+0.0526596
+0.0536302
+0.0527412
+0.0514779
+0.0502782
+0.049147
+0.0480891
+0.0471093
+0.0462127
+0.0454041
+0.0446884
+0.0440701
+0.0435533
+0.0431417
+0.0428383
+0.0426454
+0.0425646
+0.0425963
+0.0427188
+0.0429528
+0.0432965
+0.0437474
+0.0442972
+0.0449313
+0.0455856
+0.0463293
+0.0471631
+0.0480824
+0.0490822
+0.0501037
+0.051161
+0.0522552
+0.0533716
+0.0545519
+0.0557862
+0.0570777
+0.0584192
+0.0597989
+0.0612259
+0.0626407
+0.0640199
+0.0654331
+0.0668882
+0.0823123
+0.0808969
+0.0794893
+0.0781037
+0.0767556
+0.075447
+0.0741427
+0.07288
+0.071648
+0.0703335
+0.0690491
+0.0678112
+0.0666223
+0.0654628
+0.0642643
+0.063119
+0.0620165
+0.0609715
+0.0599468
+0.0589268
+0.0579356
+0.0569734
+0.056072
+0.0551905
+0.0542509
+0.0533733
+0.0524833
+0.051636
+0.050867
+0.0501819
+0.0495134
+0.0488745
+0.0481829
+0.0475283
+0.046912
+0.0463912
+0.0458932
+0.0454729
+0.0451108
+0.0448529
+0.044701
+0.0446508
+0.0446335
+0.0446244
+0.0446056
+0.0446789
+0.0448408
+0.0450857
+0.0454274
+0.0458257
+0.0462968
+0.0467752
+0.047321
+0.0479607
+0.0486752
+0.0494669
+0.0503288
+0.0512536
+0.0522503
+0.0513173
+0.0500387
+0.0488037
+0.0476375
+0.0465452
+0.0455322
+0.0446039
+0.0437656
+0.0430227
+0.0423801
+0.0418424
+0.0414138
+0.0410976
+0.0408966
+0.0408122
+0.0408433
+0.040971
+0.041215
+0.0415731
+0.0420424
+0.0426069
+0.0432236
+0.0438981
+0.0446699
+0.0455341
+0.0464855
+0.0474843
+0.0484997
+0.0495396
+0.0506198
+0.0517701
+0.0529805
+0.0542504
+0.0555659
+0.0569305
+0.0583454
+0.0597604
+0.0611302
+0.0625398
+0.0639857
+0.0654575
+0.080781
+0.0793383
+0.0779304
+0.0765245
+0.0751481
+0.0738111
+0.0725156
+0.0712248
+0.0699749
+0.068748
+0.0674334
+0.0661653
+0.0649463
+0.0637792
+0.0626229
+0.0614471
+0.0603241
+0.0592493
+0.0582371
+0.0572165
+0.0562223
+0.0552532
+0.0543318
+0.0534586
+0.052591
+0.0516852
+0.0508283
+0.0499634
+0.0491683
+0.0484592
+0.0478183
+0.0471565
+0.046506
+0.0458606
+0.0452229
+0.0446824
+0.0441898
+0.0437518
+0.0433792
+0.043111
+0.042953
+0.0429009
+0.0428974
+0.0429302
+0.0428971
+0.0429733
+0.0431607
+0.0434186
+0.0437813
+0.0442295
+0.0447399
+0.0452926
+0.045856
+0.0465158
+0.0472522
+0.0480674
+0.0489539
+0.0499042
+0.0509273
+0.0499324
+0.0486343
+0.0473843
+0.0461822
+0.0450547
+0.0440074
+0.0430462
+0.042177
+0.0414056
+0.0407374
+0.0401778
+0.0397312
+0.0394016
+0.0391918
+0.0391038
+0.0391345
+0.0392677
+0.0395222
+0.0398955
+0.0403843
+0.0409597
+0.0415556
+0.0422567
+0.0430579
+0.0439538
+0.0449258
+0.0458933
+0.0468701
+0.0479102
+0.0490263
+0.0502091
+0.0514513
+0.0527404
+0.0540875
+0.0554884
+0.056903
+0.0582577
+0.059662
+0.0611024
+0.0625564
+0.064045
+0.0792806
+0.0778101
+0.0763741
+0.074974
+0.0735708
+0.0722045
+0.0708796
+0.0695985
+0.0683227
+0.0670868
+0.065851
+0.0645518
+0.0633017
+0.0621038
+0.060961
+0.0598087
+0.0586583
+0.0575589
+0.0565164
+0.0555314
+0.0545232
+0.0535597
+0.0526164
+0.0517325
+0.0508996
+0.0500361
+0.0491808
+0.0483293
+0.0475099
+0.0467757
+0.0461339
+0.0454791
+0.0448572
+0.0442042
+0.0435784
+0.0430172
+0.0425221
+0.0420648
+0.0416876
+0.0414084
+0.0412439
+0.0411931
+0.0411934
+0.0412449
+0.0412342
+0.0413134
+0.0415083
+0.0417987
+0.0421753
+0.0426418
+0.0432122
+0.0438465
+0.0444507
+0.0451311
+0.0458897
+0.0467286
+0.0476401
+0.048616
+0.0496657
+0.0486068
+0.0472723
+0.0460034
+0.0447861
+0.0436225
+0.04254
+0.0415448
+0.0406435
+0.0398424
+0.0391476
+0.0385649
+0.0380995
+0.0377556
+0.0375366
+0.0374447
+0.0374758
+0.0376149
+0.0378805
+0.0382698
+0.0387645
+0.0393179
+0.0399381
+0.0406671
+0.0414991
+0.0424279
+0.0433359
+0.0442543
+0.0452506
+0.0463272
+0.0474782
+0.0486827
+0.0499471
+0.051274
+0.0526587
+0.0540668
+0.0554041
+0.0567945
+0.0582342
+0.0596751
+0.0611554
+0.0626773
+0.0777983
+0.0763142
+0.0748495
+0.073421
+0.0720233
+0.0706294
+0.0692744
+0.067963
+0.0666978
+0.0654387
+0.0642182
+0.0629732
+0.0616911
+0.0604613
+0.0592869
+0.0581714
+0.0570239
+0.0559019
+0.0548293
+0.0538231
+0.0528454
+0.0518659
+0.0509375
+0.0500325
+0.0491813
+0.0484037
+0.0475457
+0.0467111
+0.0458962
+0.0451357
+0.0444703
+0.043847
+0.0432354
+0.0425825
+0.0419839
+0.0414011
+0.0409018
+0.0404262
+0.0400444
+0.0397537
+0.0395822
+0.0395316
+0.0395333
+0.0395802
+0.0396166
+0.0397021
+0.0399048
+0.040214
+0.0406239
+0.0411081
+0.0416994
+0.0423958
+0.043098
+0.0438107
+0.0445933
+0.0454561
+0.0463926
+0.0473942
+0.0484703
+0.0473455
+0.0459744
+0.0446686
+0.0434194
+0.0422452
+0.0411369
+0.040107
+0.0391726
+0.0383407
+0.0376182
+0.0370115
+0.0365262
+0.0361674
+0.0359387
+0.0358427
+0.0358742
+0.0360195
+0.0362968
+0.0366998
+0.0371807
+0.0377317
+0.0383776
+0.0391356
+0.0399995
+0.0408436
+0.0417019
+0.0426503
+0.043681
+0.0447868
+0.0459562
+0.047192
+0.0484953
+0.0498609
+0.0512603
+0.0525778
+0.0539521
+0.055379
+0.0568167
+0.0582872
+0.0598019
+0.0613574
+0.0763078
+0.0748372
+0.0733587
+0.0719005
+0.0704803
+0.0690854
+0.0677019
+0.0663595
+0.0650631
+0.0638155
+0.0625739
+0.0613659
+0.0601172
+0.0588545
+0.0576474
+0.0564995
+0.0554144
+0.0542731
+0.0531789
+0.0521409
+0.0511757
+0.050207
+0.0492601
+0.0483631
+0.047502
+0.0466963
+0.0459487
+0.0451215
+0.0443095
+0.0435442
+0.042854
+0.0422512
+0.0416219
+0.0409953
+0.0404092
+0.0398399
+0.0393368
+0.038842
+0.0384558
+0.038153
+0.0379743
+0.0379216
+0.037927
+0.0379585
+0.0379917
+0.0381369
+0.0383479
+0.038682
+0.0391119
+0.0396354
+0.0402491
+0.0409701
+0.0417937
+0.0425426
+0.0433613
+0.0442555
+0.0452168
+0.0462439
+0.0473462
+0.0461538
+0.0447462
+0.0434035
+0.0421167
+0.0409051
+0.0397773
+0.0387397
+0.0377715
+0.0369081
+0.0361569
+0.0355252
+0.0350194
+0.0346449
+0.0344062
+0.0343059
+0.0343378
+0.0344896
+0.034779
+0.035155
+0.0356568
+0.0362086
+0.0368812
+0.0376694
+0.0384396
+0.0392281
+0.0401173
+0.0410852
+0.0421449
+0.0432797
+0.044482
+0.0457576
+0.0471007
+0.0484894
+0.0497838
+0.0511393
+0.0525512
+0.0539847
+0.0554438
+0.0569498
+0.0584991
+0.0600883
+0.0747493
+0.0733473
+0.0718876
+0.0704154
+0.0689646
+0.0675537
+0.0661622
+0.0647904
+0.063462
+0.0621824
+0.0609544
+0.0597298
+0.0585328
+0.0572864
+0.0560456
+0.0548642
+0.0537461
+0.0526849
+0.0515617
+0.0504977
+0.0495004
+0.0485751
+0.0476149
+0.0467138
+0.0458496
+0.0450295
+0.0442873
+0.0435463
+0.0427484
+0.0419992
+0.0412846
+0.0406535
+0.040057
+0.039466
+0.0388653
+0.0383338
+0.0378283
+0.0373193
+0.0369219
+0.0366134
+0.0364272
+0.0363722
+0.0363818
+0.0363533
+0.0363879
+0.0365387
+0.0367842
+0.0371426
+0.0376152
+0.0381795
+0.0388392
+0.0396093
+0.0404533
+0.041351
+0.0422004
+0.0431218
+0.0441186
+0.0451707
+0.0462985
+0.0450372
+0.0435935
+0.0422142
+0.04089
+0.0396409
+0.0384761
+0.0374034
+0.0364306
+0.0355527
+0.0347724
+0.034115
+0.0335879
+0.0331973
+0.0329481
+0.0328434
+0.0328688
+0.0330211
+0.0332883
+0.0336756
+0.0341831
+0.0347569
+0.0354571
+0.0361216
+0.0368296
+0.0376519
+0.0385634
+0.0395694
+0.0406631
+0.0418259
+0.0430688
+0.0443851
+0.0457604
+0.0470279
+0.0483615
+0.0497558
+0.0511835
+0.0526291
+0.0541248
+0.0556665
+0.0572505
+0.058863
+0.0732232
+0.0717913
+0.0703985
+0.068951
+0.067486
+0.0660435
+0.0646431
+0.0632557
+0.0618969
+0.0605843
+0.0593235
+0.0581176
+0.0569121
+0.055728
+0.0544848
+0.0532687
+0.0521165
+0.0510322
+0.0499833
+0.0488961
+0.0478669
+0.046916
+0.0460048
+0.0450819
+0.0442281
+0.0433988
+0.0426282
+0.0419281
+0.0412368
+0.0404676
+0.0397688
+0.0391132
+0.0385532
+0.0379777
+0.0373772
+0.0368604
+0.0363715
+0.0358657
+0.0354422
+0.0351398
+0.034949
+0.0348917
+0.0348973
+0.0347957
+0.0348319
+0.0349826
+0.0352304
+0.0355938
+0.0360868
+0.0366738
+0.0373602
+0.0381577
+0.0390368
+0.0400132
+0.0410834
+0.0420712
+0.0431038
+0.04418
+0.0453325
+0.0440014
+0.0425225
+0.0411073
+0.0397462
+0.03846
+0.0372583
+0.0361495
+0.0351425
+0.0342438
+0.0334606
+0.0327899
+0.0322412
+0.0318341
+0.031574
+0.0314505
+0.0314574
+0.0315937
+0.0318729
+0.0322772
+0.0327773
+0.0333809
+0.0339281
+0.0345422
+0.0352819
+0.0361312
+0.0370738
+0.0381176
+0.0392344
+0.0404383
+0.041721
+0.0430706
+0.0443172
+0.0456248
+0.0469982
+0.0484186
+0.049848
+0.0513313
+0.0528637
+0.0544411
+0.0560535
+0.0576895
+0.0717275
+0.0702692
+0.0688457
+0.0674632
+0.0660293
+0.0645707
+0.0631393
+0.0617481
+0.0603682
+0.0590243
+0.0577295
+0.05649
+0.0553088
+0.054125
+0.0529558
+0.0517169
+0.0505293
+0.0494102
+0.0483646
+0.0473304
+0.0462793
+0.0452951
+0.0443973
+0.0434895
+0.0426044
+0.0418028
+0.0410189
+0.040322
+0.0396201
+0.0389299
+0.0383018
+0.0376374
+0.0370737
+0.0365197
+0.0359611
+0.0354365
+0.0349773
+0.0344894
+0.0340391
+0.0337242
+0.0335414
+0.0334817
+0.0334155
+0.0333094
+0.0333472
+0.0334858
+0.0337362
+0.0341155
+0.0346295
+0.0352267
+0.0359409
+0.036761
+0.0376691
+0.0386801
+0.0397767
+0.0409552
+0.0421671
+0.0432728
+0.0444531
+0.0430522
+0.0415395
+0.0400896
+0.0386928
+0.0373703
+0.0361324
+0.0349879
+0.0339465
+0.0330177
+0.0322069
+0.0315184
+0.0309472
+0.0305228
+0.0302515
+0.030132
+0.0301154
+0.0302578
+0.0305379
+0.0309403
+0.0314439
+0.0318851
+0.0323899
+0.0330326
+0.0337901
+0.034655
+0.0356335
+0.0366972
+0.0378552
+0.0391018
+0.0404212
+0.0416606
+0.0429374
+0.0442858
+0.0456894
+0.0471066
+0.0485747
+0.0500956
+0.0516647
+0.0532759
+0.0549073
+0.0565694
+0.0702
+0.068777
+0.0673283
+0.065914
+0.0645431
+0.0631243
+0.0616672
+0.060252
+0.0588682
+0.0575026
+0.0561756
+0.054901
+0.0536856
+0.0525175
+0.0513603
+0.0502002
+0.0489886
+0.0478336
+0.0467527
+0.0457512
+0.0447348
+0.043724
+0.0427932
+0.0419478
+0.0410325
+0.0402127
+0.0394657
+0.0387408
+0.037984
+0.0373075
+0.036679
+0.0361353
+0.0356231
+0.0351378
+0.034622
+0.0340806
+0.0336207
+0.0331917
+0.0327227
+0.032395
+0.0322047
+0.0321424
+0.0319816
+0.0318998
+0.0319231
+0.03206
+0.0323214
+0.0327172
+0.0332324
+0.033847
+0.0345896
+0.035437
+0.0363754
+0.037405
+0.0385233
+0.0397151
+0.0409894
+0.0423388
+0.0436452
+0.0421955
+0.040651
+0.0391681
+0.0377372
+0.0363801
+0.0351072
+0.0339282
+0.0328531
+0.0318925
+0.031057
+0.0303377
+0.0297438
+0.029302
+0.0290193
+0.0288784
+0.028862
+0.0290105
+0.0292939
+0.029693
+0.0299841
+0.0303935
+0.0309305
+0.0315738
+0.0323497
+0.0332509
+0.0342469
+0.0353494
+0.0365502
+0.0378398
+0.0390691
+0.0403089
+0.0416272
+0.0430051
+0.044412
+0.0458618
+0.0473685
+0.0489269
+0.0505323
+0.0521607
+0.0538102
+0.0554367
+0.0686876
+0.0672543
+0.0658401
+0.0644021
+0.0629983
+0.0616404
+0.0602332
+0.0587835
+0.0573808
+0.0560116
+0.0546621
+0.0533547
+0.0521027
+0.0509141
+0.0497599
+0.0486358
+0.0474814
+0.0463069
+0.0451895
+0.0441526
+0.043202
+0.0422067
+0.0412431
+0.0403652
+0.0395197
+0.0386678
+0.037871
+0.0371175
+0.0364063
+0.0356999
+0.0350966
+0.0345503
+0.0340619
+0.0336369
+0.0331939
+0.0325992
+0.0320897
+0.0317161
+0.031491
+0.0311633
+0.0309653
+0.0308234
+0.030582
+0.0304964
+0.0305365
+0.030704
+0.0309971
+0.0314095
+0.0319093
+0.0325325
+0.0332794
+0.0341451
+0.0351035
+0.0361694
+0.0373115
+0.0385408
+0.0398527
+0.0412393
+0.0426933
+0.041437
+0.0398631
+0.0383498
+0.0368872
+0.0354975
+0.0341919
+0.0329801
+0.0318731
+0.030882
+0.0300183
+0.0292736
+0.0286576
+0.0281988
+0.0278947
+0.0277374
+0.0277225
+0.0278741
+0.0279881
+0.028137
+0.0284369
+0.0289002
+0.029472
+0.0301768
+0.0309933
+0.0319094
+0.0329285
+0.0340436
+0.035236
+0.0365205
+0.0377338
+0.0390161
+0.0403766
+0.0417735
+0.0432007
+0.0446897
+0.0462346
+0.04783
+0.0494556
+0.0510898
+0.0527093
+0.0543687
+0.0672125
+0.0657471
+0.0643229
+0.0629187
+0.0614925
+0.0601008
+0.0587576
+0.0573611
+0.0559227
+0.0545345
+0.0531816
+0.0518472
+0.0505602
+0.0493345
+0.0481773
+0.0470448
+0.0459367
+0.0448118
+0.0436794
+0.0426058
+0.0416198
+0.0407029
+0.0397534
+0.0388417
+0.0379229
+0.0370843
+0.0362691
+0.0355315
+0.0348304
+0.0341572
+0.0335467
+0.0330175
+0.0325599
+0.0320949
+0.0315598
+0.0311698
+0.0306299
+0.0302384
+0.0300021
+0.0299133
+0.0298356
+0.0295316
+0.0292795
+0.0291901
+0.0292378
+0.0294127
+0.0297403
+0.0301431
+0.0306414
+0.0312802
+0.0320561
+0.0329328
+0.0339252
+0.0349995
+0.0361748
+0.0374414
+0.0387905
+0.0402137
+0.0417035
+0.0407652
+0.0391644
+0.037623
+0.0361482
+0.0347309
+0.0333953
+0.0321536
+0.0310171
+0.0299977
+0.0291078
+0.0283392
+0.0277024
+0.0272271
+0.0268908
+0.0267229
+0.026531
+0.0263714
+0.0263644
+0.0265191
+0.0268371
+0.0273276
+0.0279375
+0.028666
+0.0295215
+0.0305106
+0.0315647
+0.0327008
+0.0339397
+0.0352383
+0.0364767
+0.0378016
+0.039198
+0.0406016
+0.0420686
+0.0435963
+0.0451786
+0.0467994
+0.0484149
+0.050025
+0.0516778
+0.0533558
+0.0657732
+0.0642793
+0.0628218
+0.0614079
+0.060015
+0.0586015
+0.0572243
+0.0558979
+0.0545137
+0.0530886
+0.0517171
+0.0503793
+0.0490662
+0.0478031
+0.0466079
+0.0454868
+0.0443798
+0.0432867
+0.0422009
+0.0411019
+0.0400789
+0.0390686
+0.0381175
+0.037216
+0.036338
+0.0354782
+0.0347036
+0.0339605
+0.0332676
+0.0326119
+0.0320236
+0.0315222
+0.0310569
+0.0305592
+0.0299967
+0.0295861
+0.0292615
+0.0288514
+0.0286036
+0.0285206
+0.0285753
+0.0283279
+0.028065
+0.0279718
+0.0280442
+0.0282265
+0.028575
+0.028959
+0.0294717
+0.0301208
+0.0308929
+0.0317974
+0.0328154
+0.0339268
+0.0351379
+0.0364406
+0.0378254
+0.0392836
+0.0408074
+0.0401959
+0.0385714
+0.0370053
+0.0355054
+0.0340804
+0.0327263
+0.0314582
+0.0302956
+0.0292511
+0.0283377
+0.0275476
+0.0268895
+0.026383
+0.0258098
+0.0253029
+0.0249505
+0.0247873
+0.0248041
+0.0249887
+0.0253259
+0.0258451
+0.0264818
+0.0272448
+0.0281435
+0.0291794
+0.0302705
+0.0314524
+0.0327196
+0.03403
+0.0353108
+0.0366778
+0.0380729
+0.0395165
+0.0410223
+0.0425876
+0.0441925
+0.0457933
+0.0473912
+0.0490349
+0.0507059
+0.052411
+0.0643659
+0.0628488
+0.0613622
+0.0599139
+0.0585118
+0.0571317
+0.0557317
+0.0543722
+0.0530649
+0.0516952
+0.0502857
+0.0489337
+0.0476137
+0.0463247
+0.0450903
+0.0439306
+0.0428515
+0.0417747
+0.0406975
+0.0395799
+0.0385019
+0.0374664
+0.0365029
+0.0356023
+0.03475
+0.033902
+0.0331416
+0.0324315
+0.0317351
+0.0310848
+0.0305103
+0.0300337
+0.0295982
+0.0290805
+0.028511
+0.0280787
+0.0278108
+0.0275689
+0.0273095
+0.0272245
+0.0272853
+0.0271827
+0.0269431
+0.0268652
+0.0269464
+0.0271655
+0.027506
+0.0278615
+0.0283702
+0.0290261
+0.0298265
+0.0307555
+0.0317913
+0.0329405
+0.0341915
+0.0355337
+0.0369405
+0.0383839
+0.0398954
+0.0397393
+0.0380953
+0.0365089
+0.0349877
+0.0335407
+0.0321733
+0.0308955
+0.0297184
+0.0286528
+0.0277198
+0.0266901
+0.0257617
+0.0249746
+0.0243391
+0.0238209
+0.0234602
+0.0232866
+0.0233126
+0.0235096
+0.0238827
+0.0244326
+0.0251272
+0.0259309
+0.0268736
+0.0279236
+0.0290527
+0.0302832
+0.0316039
+0.0329232
+0.0342455
+0.0356338
+0.0370434
+0.0385256
+0.0400644
+0.041651
+0.0432348
+0.0448168
+0.0464483
+0.0481095
+0.0498072
+0.051518
+0.0630029
+0.0614525
+0.0599417
+0.0584637
+0.057026
+0.0556374
+0.0542721
+0.0528872
+0.0515485
+0.0502633
+0.0489105
+0.0475194
+0.0461903
+0.0448915
+0.04363
+0.0424304
+0.0413121
+0.0402698
+0.0391598
+0.0380455
+0.0369357
+0.0359085
+0.0349204
+0.0340159
+0.0331231
+0.0323103
+0.0315337
+0.0308424
+0.0302232
+0.0296014
+0.0290687
+0.0285864
+0.0282119
+0.0275903
+0.0270983
+0.0266571
+0.0263768
+0.0262544
+0.0260035
+0.0258694
+0.0258936
+0.0258668
+0.0258355
+0.0257542
+0.0258389
+0.0261078
+0.0264685
+0.0268468
+0.0273719
+0.0280303
+0.0288241
+0.0297508
+0.030803
+0.0319495
+0.033182
+0.034508
+0.0359156
+0.0373986
+0.0389484
+0.0391993
+0.0375071
+0.0358539
+0.0342495
+0.0327133
+0.0312482
+0.0298472
+0.0285455
+0.0273574
+0.0262285
+0.0252037
+0.0242964
+0.0234777
+0.022803
+0.0223212
+0.0220433
+0.0218639
+0.0218978
+0.0221355
+0.022546
+0.0231276
+0.0238967
+0.0247415
+0.0256635
+0.0267234
+0.0278849
+0.0291589
+0.0305254
+0.0319164
+0.0332719
+0.0346703
+0.0361175
+0.0376218
+0.0391863
+0.0407231
+0.0422727
+0.0438769
+0.0455301
+0.0472071
+0.0488266
+0.0504892
+0.0616127
+0.0600879
+0.0585582
+0.0570548
+0.0555869
+0.0541613
+0.0527883
+0.0514401
+0.0500727
+0.0487581
+0.0474984
+0.0461658
+0.0447965
+0.0434946
+0.0422212
+0.0409924
+0.0398338
+0.0387644
+0.0376015
+0.036489
+0.0353908
+0.0343415
+0.0333674
+0.0324526
+0.0315511
+0.0307256
+0.0299763
+0.0292961
+0.0286792
+0.0281792
+0.0276509
+0.0271887
+0.0266364
+0.0261612
+0.0256703
+0.0253096
+0.0250504
+0.0247264
+0.0244934
+0.0243813
+0.0244369
+0.0244635
+0.024464
+0.0246531
+0.0248755
+0.0251547
+0.0253723
+0.0256946
+0.0261968
+0.0268687
+0.027698
+0.0286461
+0.0296872
+0.0308489
+0.03211
+0.0334549
+0.0348784
+0.0363781
+0.0379422
+0.0380621
+0.0363394
+0.0346359
+0.0329855
+0.0314011
+0.029879
+0.0284435
+0.0270801
+0.0258262
+0.0246922
+0.0236792
+0.0227613
+0.0220028
+0.0213814
+0.0208667
+0.0205732
+0.020468
+0.0205858
+0.0208532
+0.0213095
+0.0219396
+0.0227498
+0.023591
+0.0245438
+0.0256167
+0.0268222
+0.0281443
+0.0295594
+0.0310217
+0.032393
+0.0338212
+0.0351997
+0.036605
+0.0380844
+0.0396298
+0.0412206
+0.0428642
+0.0444333
+0.0460461
+0.0477051
+0.0494054
+0.0602617
+0.0587104
+0.0571921
+0.0556857
+0.0541913
+0.052735
+0.0513238
+0.0499688
+0.0486406
+0.0472937
+0.0460072
+0.0447679
+0.0434601
+0.0421182
+0.0408483
+0.0396132
+0.0384235
+0.0373042
+0.0360997
+0.0349527
+0.0338846
+0.0328139
+0.0318295
+0.0309118
+0.0300086
+0.0291866
+0.0284395
+0.0277901
+0.0272207
+0.0267007
+0.0262368
+0.0256674
+0.0250936
+0.0246458
+0.0243281
+0.0239094
+0.0234946
+0.0232054
+0.0230104
+0.0229433
+0.0230497
+0.0231553
+0.0231559
+0.0233628
+0.0237404
+0.0240105
+0.0241606
+0.024472
+0.0249615
+0.0256035
+0.0264023
+0.0273531
+0.0284397
+0.0296486
+0.0309598
+0.0323447
+0.0338149
+0.0353468
+0.0369325
+0.0369359
+0.0351795
+0.0334646
+0.0318066
+0.0301605
+0.0285877
+0.0270998
+0.0256968
+0.0243892
+0.0231968
+0.0221333
+0.0212246
+0.0204749
+0.0198824
+0.0194807
+0.0192148
+0.0191306
+0.0192659
+0.0196097
+0.02014
+0.02085
+0.0217408
+0.0225752
+0.0235342
+0.0246511
+0.0259015
+0.0272683
+0.028727
+0.0301985
+0.0314278
+0.0327027
+0.0340701
+0.0355201
+0.0370429
+0.03863
+0.0401571
+0.0417052
+0.0433088
+0.044962
+0.0466594
+0.0483778
+0.0589418
+0.0573726
+0.0558278
+0.0543173
+0.0528388
+0.0513549
+0.0499126
+0.0485182
+0.0471843
+0.0458795
+0.0445569
+0.0433027
+0.0420828
+0.0407962
+0.0394903
+0.0382587
+0.0369816
+0.0357762
+0.0346461
+0.0334619
+0.0323698
+0.0313336
+0.0303346
+0.0293824
+0.028503
+0.0276958
+0.0269655
+0.02632
+0.0257679
+0.0253215
+0.0246734
+0.0240748
+0.0236406
+0.0232076
+0.0228752
+0.0223501
+0.0219192
+0.021665
+0.0215716
+0.0215761
+0.0217146
+0.0218304
+0.0219158
+0.0222064
+0.0226063
+0.0227199
+0.0228297
+0.0231473
+0.0236643
+0.0243405
+0.0251793
+0.0261617
+0.0272637
+0.0284918
+0.0298305
+0.0312655
+0.0327807
+0.0343451
+0.035975
+0.0358911
+0.0340892
+0.0323349
+0.0306193
+0.0289658
+0.0273879
+0.0258391
+0.0243814
+0.0230223
+0.0217955
+0.0206858
+0.0197297
+0.0189594
+0.0184011
+0.0180022
+0.0178199
+0.0178968
+0.0180414
+0.0184399
+0.0190412
+0.0198256
+0.0207782
+0.0216881
+0.0226847
+0.0238414
+0.0251358
+0.0265446
+0.0279591
+0.0290964
+0.030316
+0.0316357
+0.0330473
+0.0345402
+0.0360397
+0.0375019
+0.0390323
+0.0406233
+0.042268
+0.0439333
+0.0456166
+0.0473308
+0.0575907
+0.0560479
+0.0545064
+0.0529606
+0.0514591
+0.0500086
+0.0485506
+0.0471248
+0.0457503
+0.0444414
+0.0431642
+0.0418704
+0.0406528
+0.0394011
+0.0380929
+0.0368483
+0.0355533
+0.0342978
+0.0331397
+0.0320378
+0.0308947
+0.0298552
+0.0288716
+0.0279291
+0.0270144
+0.0262235
+0.0255404
+0.0249138
+0.024406
+0.0238038
+0.0231303
+0.0225645
+0.0221363
+0.0218137
+0.0212961
+0.0207869
+0.0204292
+0.0202042
+0.0201465
+0.0202412
+0.0204687
+0.0205318
+0.0206923
+0.0210121
+0.0213302
+0.0215107
+0.0216267
+0.0219617
+0.0224651
+0.0231425
+0.024001
+0.0250076
+0.0261583
+0.027436
+0.0288237
+0.0303016
+0.031842
+0.0334336
+0.0350528
+0.0349177
+0.0330858
+0.0312904
+0.0295328
+0.027828
+0.0261816
+0.0246099
+0.0231361
+0.0217478
+0.0204471
+0.0193081
+0.0183543
+0.0175268
+0.0169356
+0.0165686
+0.0164441
+0.0165242
+0.0168368
+0.0173511
+0.0180239
+0.0188949
+0.0199233
+0.020812
+0.0218486
+0.023036
+0.0242218
+0.02553
+0.0266617
+0.0278936
+0.0292193
+0.0306019
+0.0320597
+0.0334881
+0.0349197
+0.0364269
+0.0380007
+0.0395859
+0.0412138
+0.0428918
+0.0445765
+0.0462065
+0.0561803
+0.0547131
+0.0531768
+0.0516612
+0.0501208
+0.0486303
+0.0471945
+0.0457841
+0.0443781
+0.0430275
+0.0417428
+0.0405038
+0.0392446
+0.0379702
+0.0366488
+0.035384
+0.0341811
+0.0328988
+0.0316896
+0.0305897
+0.0294905
+0.0284139
+0.0274401
+0.0265017
+0.0255973
+0.0247912
+0.0241241
+0.0235878
+0.0229614
+0.0222952
+0.0216039
+0.0210655
+0.0206876
+0.0203981
+0.0197743
+0.019253
+0.0189438
+0.0187977
+0.0188144
+0.0189372
+0.0192173
+0.0192194
+0.0194593
+0.0198443
+0.020029
+0.0202451
+0.0204976
+0.0208062
+0.0213361
+0.0220482
+0.0229421
+0.023992
+0.0251892
+0.0265069
+0.0278743
+0.0293418
+0.030895
+0.0324962
+0.03416
+0.0340117
+0.0321282
+0.0302861
+0.0284933
+0.0267599
+0.0250889
+0.0234654
+0.0219148
+0.0204815
+0.0191917
+0.0180335
+0.0170154
+0.0162105
+0.015575
+0.015164
+0.0150076
+0.0151694
+0.0156224
+0.0162379
+0.017048
+0.0180568
+0.0190324
+0.019781
+0.0207159
+0.021808
+0.023057
+0.024228
+0.0253724
+0.0266181
+0.0279568
+0.0293511
+0.0307813
+0.0322782
+0.0338154
+0.0353803
+0.0369337
+0.0385491
+0.0402189
+0.0418
+0.0434238
+0.0450956
+0.0547621
+0.0532851
+0.0518383
+0.0503238
+0.0488364
+0.0473134
+0.0458363
+0.0444182
+0.0430558
+0.0416684
+0.0403465
+0.0390897
+0.03791
+0.0365879
+0.0352431
+0.0339555
+0.0327442
+0.0315233
+0.0303286
+0.0291774
+0.0281094
+0.0270472
+0.0260098
+0.0250936
+0.0242132
+0.0234256
+0.0227483
+0.02209
+0.021304
+0.0206324
+0.0200985
+0.0196405
+0.0192737
+0.0187411
+0.0182257
+0.017751
+0.0174874
+0.0173905
+0.0174633
+0.0176203
+0.0179497
+0.0179825
+0.0182395
+0.0185388
+0.0186698
+0.0190021
+0.019469
+0.01979
+0.020301
+0.0210288
+0.021952
+0.0229949
+0.0241801
+0.0254905
+0.0269096
+0.0283667
+0.0299101
+0.0315303
+0.0332154
+0.0330594
+0.0312342
+0.0293814
+0.0275503
+0.0257535
+0.0240221
+0.0223712
+0.0207946
+0.0193263
+0.0179694
+0.0167728
+0.0157642
+0.0148437
+0.0141769
+0.0137872
+0.013683
+0.013863
+0.014336
+0.0150911
+0.0161108
+0.0170806
+0.0178357
+0.0186235
+0.0195625
+0.0206693
+0.0219025
+0.0229502
+0.0241055
+0.0253569
+0.0266839
+0.0280604
+0.0295138
+0.0310272
+0.0325884
+0.0341921
+0.0358338
+0.0374913
+0.0390628
+0.0406867
+0.04231
+0.0439641
+0.0533736
+0.0518803
+0.0504098
+0.048981
+0.0475005
+0.0460261
+0.0445445
+0.043084
+0.0416874
+0.0403166
+0.0389515
+0.0376586
+0.0364285
+0.035165
+0.0338735
+0.0325824
+0.0313096
+0.0300944
+0.028912
+0.0277917
+0.026699
+0.0256419
+0.0246172
+0.0236547
+0.0228544
+0.0221228
+0.021432
+0.0205078
+0.0196849
+0.0190655
+0.0185025
+0.0181553
+0.0177306
+0.0171267
+0.0166365
+0.0162104
+0.0159983
+0.0159609
+0.0161086
+0.0163381
+0.0166074
+0.0167648
+0.0170946
+0.0173081
+0.0174404
+0.0177314
+0.0182341
+0.0186653
+0.0192062
+0.019974
+0.0208685
+0.0219332
+0.0231314
+0.0244358
+0.0258441
+0.0273526
+0.0289485
+0.0306128
+0.0323161
+0.0320761
+0.0301977
+0.0283576
+0.0265656
+0.0247416
+0.0229816
+0.0212975
+0.0197048
+0.018224
+0.0168167
+0.0155558
+0.014492
+0.0135919
+0.0129252
+0.0125223
+0.0124544
+0.0127213
+0.0132782
+0.0140913
+0.0149923
+0.0159394
+0.0166439
+0.0174025
+0.0183786
+0.0195402
+0.0206365
+0.0217131
+0.0228585
+0.0240936
+0.0254145
+0.0268063
+0.0282802
+0.0297971
+0.0313629
+0.0329981
+0.0346633
+0.0363624
+0.0379529
+0.0395613
+0.0411735
+0.0428202
+0.0519612
+0.0505125
+0.0490244
+0.0475562
+0.0460815
+0.0446073
+0.043102
+0.0416576
+0.0402432
+0.0387991
+0.0373921
+0.0360493
+0.0347828
+0.0335877
+0.032375
+0.0311548
+0.0298829
+0.0286594
+0.0274514
+0.0263133
+0.025225
+0.0242317
+0.023229
+0.0223235
+0.0214787
+0.0208202
+0.0198997
+0.0189611
+0.0181579
+0.0174845
+0.0170098
+0.0166552
+0.0160756
+0.0154982
+0.0150456
+0.0146809
+0.0145168
+0.0145726
+0.0147953
+0.0151524
+0.0153418
+0.0155456
+0.0159428
+0.0160635
+0.0162315
+0.0165219
+0.0170579
+0.0176315
+0.0181174
+0.0188344
+0.0197663
+0.0208441
+0.0220433
+0.0233866
+0.0248421
+0.0263822
+0.0279825
+0.0296439
+0.0313703
+0.0311256
+0.0292176
+0.0273442
+0.0255212
+0.0237259
+0.0219856
+0.0202231
+0.0185521
+0.0169996
+0.0155842
+0.0143155
+0.0132202
+0.012317
+0.0117175
+0.0114411
+0.0114293
+0.0117392
+0.0123685
+0.0130276
+0.0137985
+0.0147095
+0.0154803
+0.0162211
+0.0171762
+0.0183261
+0.0194059
+0.02045
+0.0215765
+0.0228455
+0.0241794
+0.0255737
+0.0270405
+0.0285873
+0.0301758
+0.031813
+0.0334637
+0.0350996
+0.0367661
+0.0384101
+0.0400506
+0.0417417
+0.0505886
+0.0490798
+0.0476213
+0.0461906
+0.0446375
+0.0431298
+0.0416578
+0.0401617
+0.0387315
+0.0373047
+0.0358835
+0.0344978
+0.0331825
+0.0319486
+0.0307486
+0.0295546
+0.0283634
+0.0271467
+0.0259844
+0.0248476
+0.0237841
+0.0227838
+0.0218265
+0.0209368
+0.0201771
+0.0194805
+0.0184609
+0.0174556
+0.016646
+0.0160068
+0.0155444
+0.0151549
+0.0144131
+0.0138908
+0.0134942
+0.0131624
+0.0131007
+0.0131614
+0.0134509
+0.0139748
+0.0141477
+0.0143691
+0.0146317
+0.0147695
+0.0150536
+0.0154515
+0.0159614
+0.0165454
+0.0170447
+0.0177461
+0.0186558
+0.0197489
+0.0210107
+0.0223518
+0.0238028
+0.0253601
+0.0270055
+0.0287239
+0.0304784
+0.0302936
+0.0283311
+0.0264045
+0.0245212
+0.022683
+0.0209102
+0.0191699
+0.0175248
+0.0159309
+0.014429
+0.0130959
+0.0119652
+0.0111303
+0.0104662
+0.0101603
+0.0102928
+0.0108213
+0.0114492
+0.0119247
+0.012636
+0.0134978
+0.0141966
+0.0149961
+0.0160036
+0.0172319
+0.0181439
+0.0191644
+0.0203621
+0.0216052
+0.0229254
+0.0243534
+0.025826
+0.0273604
+0.0289538
+0.0305884
+0.0321994
+0.0338526
+0.0355197
+0.0372388
+0.0389142
+0.0405473
+0.0491024
+0.0475756
+0.0460795
+0.0446305
+0.0432225
+0.0416987
+0.0401934
+0.0386832
+0.0372131
+0.0357994
+0.0343941
+0.0329984
+0.0316421
+0.0303612
+0.0291339
+0.0279645
+0.0267453
+0.0256093
+0.0244939
+0.0233968
+0.0223193
+0.021317
+0.0203902
+0.0196084
+0.0188444
+0.0179921
+0.0170844
+0.0160968
+0.0152457
+0.0145716
+0.0141167
+0.0134317
+0.0128289
+0.012301
+0.0120489
+0.0117224
+0.0116733
+0.0118111
+0.0122106
+0.0127638
+0.0129542
+0.0132967
+0.0133458
+0.013494
+0.0138679
+0.0143278
+0.014943
+0.0154555
+0.0159544
+0.016679
+0.017614
+0.0187056
+0.0199475
+0.0213379
+0.0228533
+0.0244712
+0.0261121
+0.0278018
+0.0295573
+0.029358
+0.0274733
+0.0255576
+0.0236609
+0.0217619
+0.0199221
+0.0181473
+0.0164498
+0.0148338
+0.0133527
+0.0120276
+0.0108419
+0.00994989
+0.00935724
+0.00915858
+0.00930503
+0.00991107
+0.0101656
+0.0107128
+0.0114543
+0.0122768
+0.0130283
+0.0138505
+0.0148543
+0.0159644
+0.0168864
+0.0179418
+0.0190904
+0.0203326
+0.0216712
+0.0230789
+0.0245711
+0.0261416
+0.0277293
+0.0293138
+0.0309321
+0.0326014
+0.0342944
+0.0360072
+0.0377403
+0.0394382
+0.0476537
+0.046091
+0.0445742
+0.043093
+0.0416473
+0.0402128
+0.0387662
+0.0372308
+0.0357297
+0.0342781
+0.0328841
+0.0315106
+0.0301546
+0.0288366
+0.0275414
+0.026315
+0.0251831
+0.024004
+0.0229424
+0.0218867
+0.0208657
+0.0198488
+0.0189693
+0.0181846
+0.0173334
+0.016348
+0.0155459
+0.0148051
+0.0139906
+0.0133331
+0.0125383
+0.011808
+0.0112223
+0.0107562
+0.0105434
+0.0103477
+0.0103478
+0.0105403
+0.0110932
+0.0114039
+0.0116195
+0.0121625
+0.0121178
+0.0123593
+0.0127217
+0.0132248
+0.0138831
+0.0145149
+0.0149653
+0.0156472
+0.0165903
+0.0177448
+0.0190429
+0.0204841
+0.0219714
+0.0235509
+0.0251752
+0.0268026
+0.0285057
+0.0283735
+0.0264655
+0.0246046
+0.022762
+0.0208738
+0.019024
+0.0172152
+0.0154592
+0.0138141
+0.0122972
+0.0109057
+0.00975945
+0.00890113
+0.00838715
+0.00825155
+0.00852375
+0.00875998
+0.00905137
+0.00959196
+0.0102905
+0.0111157
+0.0118274
+0.0126647
+0.013708
+0.0147536
+0.0156224
+0.016649
+0.0177925
+0.0190489
+0.0203824
+0.0218101
+0.0233392
+0.0249033
+0.0264564
+0.0280499
+0.0296865
+0.0313591
+0.0330726
+0.0347838
+0.036525
+0.0383049
+0.0462484
+0.0446504
+0.0430894
+0.0415848
+0.0401048
+0.0386366
+0.0372176
+0.0358097
+0.0342921
+0.0328028
+0.0313728
+0.0300055
+0.0286692
+0.0273374
+0.0260283
+0.024735
+0.0235663
+0.0224526
+0.021343
+0.020371
+0.0194185
+0.0184187
+0.0175205
+0.0167687
+0.0157757
+0.0147702
+0.0139487
+0.0133389
+0.0127626
+0.0118717
+0.0109716
+0.0101956
+0.00961941
+0.00919593
+0.00897504
+0.00894666
+0.00902569
+0.00940344
+0.0100539
+0.0099954
+0.010331
+0.0109746
+0.0110061
+0.0112768
+0.0116341
+0.012185
+0.0129025
+0.0135693
+0.0139789
+0.0147039
+0.0156678
+0.0168556
+0.0181622
+0.019583
+0.0209902
+0.0224941
+0.0241035
+0.0257987
+0.0275638
+0.0272779
+0.0254497
+0.0236251
+0.0217419
+0.0199216
+0.0181502
+0.0163167
+0.0145174
+0.0128368
+0.0112731
+0.00987891
+0.00871213
+0.00788445
+0.00740934
+0.00731965
+0.00760991
+0.00755932
+0.00786631
+0.00839032
+0.00904396
+0.00997863
+0.0106499
+0.0115223
+0.0126601
+0.0134972
+0.0143026
+0.0153128
+0.0164707
+0.0177589
+0.0191132
+0.0205537
+0.0221061
+0.0236375
+0.025188
+0.0267844
+0.0284433
+0.030154
+0.0318532
+0.0336044
+0.0354034
+0.037236
+0.044836
+0.0432662
+0.0416602
+0.0401025
+0.0386063
+0.0370982
+0.0356407
+0.0342407
+0.0328684
+0.0313775
+0.0299104
+0.0285037
+0.0271748
+0.0258617
+0.0244951
+0.0232278
+0.0219858
+0.020857
+0.0198041
+0.0188072
+0.0179626
+0.0169811
+0.0161018
+0.0152663
+0.0142117
+0.0132502
+0.0124418
+0.011866
+0.0112658
+0.01026
+0.00933839
+0.00866059
+0.00800807
+0.00765563
+0.00752056
+0.00756958
+0.00782323
+0.00834905
+0.00852274
+0.00864187
+0.00917152
+0.00985178
+0.00991547
+0.0102094
+0.0105859
+0.011229
+0.0120347
+0.0127745
+0.0131566
+0.0138464
+0.0148146
+0.0159924
+0.0171833
+0.0184818
+0.0199343
+0.0215122
+0.0231898
+0.0249472
+0.0267685
+0.0262411
+0.0243358
+0.022482
+0.020694
+0.0189533
+0.0171099
+0.0153406
+0.0136815
+0.0119666
+0.0103384
+0.00889572
+0.00774451
+0.00684545
+0.00650149
+0.0066831
+0.00643255
+0.00633831
+0.00665517
+0.00715121
+0.00790794
+0.00888051
+0.00957364
+0.0103529
+0.0113994
+0.0122187
+0.012987
+0.0139913
+0.0151807
+0.0164715
+0.0178578
+0.0193441
+0.0208488
+0.0223258
+0.0239124
+0.0255458
+0.0272487
+0.0289576
+0.0307176
+0.0324964
+0.0342954
+0.0361154
+0.0434431
+0.0418474
+0.0402698
+0.038687
+0.0371338
+0.035616
+0.0341079
+0.032664
+0.0312874
+0.0299449
+0.0284967
+0.0270636
+0.0256879
+0.0243446
+0.0230529
+0.0217179
+0.0204629
+0.0192793
+0.0182167
+0.0172805
+0.016425
+0.0154803
+0.0145901
+0.0136167
+0.0126095
+0.0117026
+0.0109736
+0.0104918
+0.00962824
+0.00880933
+0.00781275
+0.00711214
+0.00654417
+0.00620818
+0.00616377
+0.00627737
+0.0067253
+0.00716224
+0.00720693
+0.0073719
+0.00801727
+0.00880463
+0.00881547
+0.00915811
+0.00962018
+0.010294
+0.0111169
+0.0117621
+0.0123038
+0.0129092
+0.0137541
+0.0148297
+0.0161318
+0.0175489
+0.0190726
+0.0207005
+0.0223668
+0.0241171
+0.0259343
+0.0252386
+0.0233662
+0.0214374
+0.0195546
+0.0177422
+0.0160246
+0.0143976
+0.0126284
+0.0110118
+0.0095704
+0.00814268
+0.00690014
+0.00604631
+0.00579246
+0.0053584
+0.00513674
+0.0051497
+0.00546777
+0.00601252
+0.00683024
+0.00781281
+0.00824583
+0.00906334
+0.0102326
+0.0109617
+0.0117117
+0.0127422
+0.0139842
+0.0152459
+0.016644
+0.0180938
+0.0195335
+0.0210629
+0.0226799
+0.0243651
+0.0260888
+0.0278211
+0.0295984
+0.031385
+0.0332177
+0.0350852
+0.0420955
+0.0404547
+0.0388646
+0.0372894
+0.0357351
+0.0341565
+0.0326248
+0.0311388
+0.0297121
+0.028365
+0.0270602
+0.0256666
+0.0242645
+0.022888
+0.0215673
+0.020215
+0.0188608
+0.0176663
+0.0165716
+0.0156557
+0.0148272
+0.0139788
+0.0131284
+0.0120008
+0.010961
+0.0101656
+0.00947058
+0.00904722
+0.00811445
+0.00727289
+0.00634316
+0.00564034
+0.00515862
+0.00486947
+0.004837
+0.00496538
+0.00539554
+0.00605987
+0.00616594
+0.00650518
+0.00726975
+0.00751946
+0.00767862
+0.00809556
+0.00853796
+0.0094193
+0.0101691
+0.0107764
+0.0112283
+0.0118095
+0.0127457
+0.0139052
+0.0152862
+0.0166865
+0.0181988
+0.0198033
+0.0214792
+0.0232321
+0.0249638
+0.0242488
+0.0223578
+0.0204608
+0.0185941
+0.0166888
+0.0148501
+0.0131196
+0.0115465
+0.0100901
+0.00846512
+0.00713994
+0.00612525
+0.00531394
+0.00452134
+0.00406083
+0.00394179
+0.00390655
+0.00433234
+0.00490202
+0.00578655
+0.00651684
+0.00693087
+0.00781527
+0.00901837
+0.00978521
+0.0105428
+0.0115655
+0.0127495
+0.0139804
+0.0153646
+0.016775
+0.0182397
+0.0198184
+0.0215034
+0.0231851
+0.0249267
+0.0267152
+0.0285131
+0.0303533
+0.0322091
+0.0341047
+0.0406441
+0.0391196
+0.0374765
+0.035892
+0.03433
+0.0327554
+0.0311792
+0.0296555
+0.0281974
+0.0267932
+0.0254841
+0.0242198
+0.0228959
+0.0214767
+0.0201482
+0.0187904
+0.0173838
+0.0160888
+0.0149787
+0.0140163
+0.0132667
+0.0125048
+0.0117398
+0.0104196
+0.00935625
+0.0085614
+0.0080815
+0.00768646
+0.00664168
+0.00575757
+0.00489623
+0.00423203
+0.00378413
+0.00353369
+0.00352676
+0.00378442
+0.00423052
+0.00513974
+0.005498
+0.00583982
+0.00641648
+0.00645741
+0.0065987
+0.00708388
+0.00753773
+0.00852018
+0.0091257
+0.00985327
+0.0103198
+0.0108758
+0.0118068
+0.0130303
+0.0143248
+0.0156791
+0.0172014
+0.0188541
+0.0206073
+0.0223472
+0.024092
+0.0232702
+0.0213995
+0.0195435
+0.017616
+0.0157573
+0.0139044
+0.0120388
+0.0103019
+0.008751
+0.00751544
+0.00616505
+0.00500548
+0.00422832
+0.00339138
+0.00282693
+0.00267965
+0.0027081
+0.00314193
+0.00379921
+0.00476318
+0.005385
+0.00568627
+0.0065078
+0.00778423
+0.00863983
+0.0093678
+0.0103751
+0.0114749
+0.0127211
+0.0140721
+0.015486
+0.0170352
+0.0186713
+0.0203388
+0.0220853
+0.0238698
+0.0256681
+0.0274934
+0.0293665
+0.0312698
+0.033205
+0.0391227
+0.0376444
+0.0360712
+0.0344983
+0.0329087
+0.0313814
+0.0297782
+0.0282279
+0.0267155
+0.0252935
+0.0239194
+0.0226606
+0.021448
+0.020157
+0.0187864
+0.0173949
+0.0159584
+0.014637
+0.0134501
+0.0124826
+0.0117215
+0.010953
+0.0101591
+0.00895719
+0.00782341
+0.0070651
+0.00659442
+0.00615696
+0.00517097
+0.00430011
+0.00344458
+0.00281127
+0.00243229
+0.00231542
+0.0023411
+0.00266476
+0.00327524
+0.00438745
+0.00476384
+0.00516584
+0.0053395
+0.00532566
+0.00549972
+0.00605499
+0.00658252
+0.00750833
+0.00817777
+0.00908985
+0.00925566
+0.00985828
+0.0108767
+0.0120638
+0.0133338
+0.0147897
+0.0163949
+0.0181212
+0.0198226
+0.0215733
+0.0232934
+0.0224381
+0.0204866
+0.018583
+0.0167498
+0.0148727
+0.012991
+0.0112065
+0.00939768
+0.00766595
+0.00622185
+0.00490125
+0.00379955
+0.00322436
+0.0022445
+0.00165752
+0.00137953
+0.0013997
+0.00195888
+0.00270131
+0.00374074
+0.00431059
+0.00452602
+0.00542313
+0.00679242
+0.00743057
+0.00818727
+0.00910065
+0.0102439
+0.0114741
+0.0128279
+0.0143221
+0.015937
+0.0175717
+0.0192875
+0.0210776
+0.0228546
+0.0246909
+0.0265674
+0.0284851
+0.0304397
+0.0323472
+0.0376328
+0.0360963
+0.0346189
+0.033028
+0.0314802
+0.0298943
+0.0283852
+0.0268283
+0.0253053
+0.0238157
+0.0224337
+0.0211007
+0.0199189
+0.0187669
+0.0172957
+0.0159256
+0.0145919
+0.0132262
+0.0120359
+0.0110016
+0.0101248
+0.00937209
+0.00847924
+0.00733092
+0.00638808
+0.00568949
+0.00545059
+0.00466184
+0.0036878
+0.00285791
+0.00209915
+0.00149902
+0.00114838
+0.0010654
+0.00119963
+0.00160154
+0.0024912
+0.00340666
+0.00362696
+0.00437876
+0.00414588
+0.00413443
+0.00434836
+0.00491185
+0.00567571
+0.00661403
+0.00734064
+0.00813413
+0.00848226
+0.00896278
+0.00988621
+0.0111688
+0.012587
+0.0141252
+0.0156846
+0.0173419
+0.0190649
+0.0206964
+0.0224234
+0.0215939
+0.0197466
+0.0177959
+0.0158719
+0.0140265
+0.0122949
+0.0103964
+0.0086111
+0.00702955
+0.00521106
+0.00366492
+0.00289021
+0.00213858
+0.00116943
+0.000420451
+0.000181075
+0.000322645
+0.000859985
+0.00175219
+0.0027151
+0.00349142
+0.00376462
+0.00471321
+0.00552333
+0.00610226
+0.00686764
+0.00786467
+0.00908578
+0.0103415
+0.0117629
+0.0132841
+0.0148622
+0.0165578
+0.0183232
+0.0200955
+0.0219436
+0.0238374
+0.0256987
+0.0275915
+0.0295175
+0.0314335
+0.0361678
+0.0346133
+0.033083
+0.0316061
+0.0299961
+0.0284524
+0.026899
+0.0254009
+0.0239076
+0.0224002
+0.0209726
+0.0196306
+0.0183555
+0.0172501
+0.0158453
+0.0143918
+0.013093
+0.0118494
+0.0106326
+0.00952732
+0.00856274
+0.00778703
+0.00685149
+0.00567578
+0.00478762
+0.00435555
+0.00415317
+0.00320102
+0.00219484
+0.0013908
+0.000704973
+8.33395e-05
+2.80366e-05
+-0.000178133
+9.59561e-05
+0.000732187
+0.00198045
+0.00215485
+0.00280272
+0.00319282
+0.00297592
+0.00295429
+0.00321006
+0.00377736
+0.00476914
+0.00573749
+0.00663678
+0.0073131
+0.00762783
+0.00817555
+0.00917973
+0.0105485
+0.0120497
+0.0134846
+0.0150655
+0.0166508
+0.0182564
+0.0199541
+0.0217401
+0.0207947
+0.018871
+0.017012
+0.0152408
+0.0133004
+0.0114506
+0.00972363
+0.00813874
+0.0063286
+0.00463119
+0.00283389
+0.00193373
+0.00101323
+0.000107892
+-0.000635364
+-0.000833145
+-0.000730367
+-0.000153426
+0.000825044
+0.00183264
+0.00267545
+0.00326517
+0.00431406
+0.00429606
+0.00484974
+0.00565515
+0.00666794
+0.00786686
+0.00918939
+0.0107058
+0.0122437
+0.0138639
+0.0155806
+0.017357
+0.019196
+0.0209955
+0.0228595
+0.0247769
+0.026714
+0.0285975
+0.0305213
+0.0347453
+0.0331316
+0.0315873
+0.0300807
+0.0285994
+0.0269793
+0.0254415
+0.0239298
+0.0224473
+0.0210286
+0.0195374
+0.0180947
+0.0168137
+0.0156919
+0.014427
+0.0129735
+0.0115816
+0.0103977
+0.00922114
+0.00808206
+0.0071063
+0.00627821
+0.00523714
+0.00403842
+0.00329167
+0.00304441
+0.00266953
+0.00172682
+0.000726789
+-5.60108e-05
+-0.000786811
+-0.00124676
+-0.0011716
+-0.00139231
+-0.000775127
+0.000176946
+0.00131488
+0.00116755
+0.0017967
+0.00201929
+0.00186021
+0.00185762
+0.00208692
+0.00282594
+0.00392843
+0.0048034
+0.00551196
+0.00632979
+0.00724255
+0.00782638
+0.00887755
+0.0102866
+0.0116514
+0.0131117
+0.0144859
+0.016021
+0.0176839
+0.0192798
+0.0209579
+0.0202021
+0.018216
+0.0162824
+0.0144225
+0.0126689
+0.0109445
+0.00908396
+0.0073991
+0.00576877
+0.0039397
+0.00262863
+0.00109203
+-0.000168198
+-0.00105299
+-0.000116099
+0.000399415
+0.000155816
+-0.000210606
+-0.000216895
+0.00100006
+0.00193379
+0.00229909
+0.00324572
+0.00318814
+0.00368489
+0.00451687
+0.00550912
+0.00676241
+0.00812758
+0.00957869
+0.0111887
+0.0128429
+0.0145913
+0.0163959
+0.0182037
+0.0200879
+0.0219947
+0.0238879
+0.0257887
+0.0276797
+0.0296057
+0.0333882
+0.0317242
+0.0301079
+0.0285682
+0.0270918
+0.0256054
+0.0239832
+0.0224543
+0.0209825
+0.0195386
+0.0180863
+0.0166369
+0.0152555
+0.0140427
+0.0129234
+0.0115366
+0.0102131
+0.00894462
+0.00791832
+0.00674186
+0.00567115
+0.00484091
+0.00374614
+0.00248213
+0.00183457
+0.00214166
+0.00122786
+0.000276701
+-0.000675478
+-0.00084289
+-0.000549168
+-0.000582162
+-0.000325757
+-0.000749936
+-0.00106405
+-0.000231027
+0.000237265
+0.000221506
+0.00114001
+0.000855108
+0.000685359
+0.000899896
+0.00123743
+0.00204312
+0.00282945
+0.00366112
+0.00434878
+0.00524896
+0.00626339
+0.00747288
+0.00872146
+0.00996354
+0.0112639
+0.0125181
+0.0139926
+0.0154008
+0.0169144
+0.0185478
+0.0197789
+0.0195384
+0.017762
+0.0158247
+0.0139037
+0.012075
+0.0102182
+0.00841717
+0.00683931
+0.00507201
+0.0033985
+0.00167967
+-1.87413e-05
+-0.00136094
+-0.000481367
+0.00103322
+0.00157436
+0.00127015
+0.000859628
+-0.000411522
+7.39255e-05
+0.000904465
+0.00116377
+0.00218842
+0.00203927
+0.00252869
+0.00335614
+0.00439857
+0.00568176
+0.0070054
+0.00847339
+0.0101592
+0.0119314
+0.0136715
+0.0154471
+0.017318
+0.0192397
+0.0210773
+0.0229386
+0.0248415
+0.0267675
+0.0287315
+0.0321084
+0.0303952
+0.0287195
+0.0271011
+0.025568
+0.0241048
+0.0226133
+0.0210167
+0.0195018
+0.018066
+0.0166402
+0.0151921
+0.0137875
+0.0124921
+0.0112237
+0.0100587
+0.00878809
+0.00759812
+0.00664976
+0.00546193
+0.00427153
+0.0034572
+0.00213985
+0.000964917
+0.000588123
+0.000989144
+-0.000140284
+-0.00080942
+-4.67773e-05
+0.000557643
+0.000642187
+0.00061618
+0.000630486
+0.000466336
+4.44821e-05
+-0.00057094
+-0.00088695
+-0.000689918
+-4.9584e-05
+-0.000197289
+-0.000305428
+-8.0547e-05
+0.000526619
+0.00128421
+0.00179553
+0.00265702
+0.00325277
+0.00421913
+0.0052154
+0.00651416
+0.00795041
+0.00950014
+0.0107453
+0.0119693
+0.0134047
+0.0148018
+0.0163709
+0.0179699
+0.0176592
+0.0173894
+0.0173092
+0.0153959
+0.0135635
+0.0116768
+0.00966333
+0.0077467
+0.00601414
+0.0041296
+0.00232127
+0.000566174
+-0.00119193
+-0.00172738
+-4.13996e-05
+0.00179415
+0.00264595
+0.00236921
+0.00130665
+-0.000590204
+-0.00086589
+-0.0002532
+0.000149735
+0.00124187
+0.000936359
+0.00133524
+0.00209197
+0.00318123
+0.0045828
+0.005909
+0.00743107
+0.0091051
+0.0108965
+0.0127081
+0.0145559
+0.0163394
+0.0182119
+0.0201201
+0.0220232
+0.0239754
+0.0259514
+0.0279085
+0.0308078
+0.0290857
+0.0274251
+0.025737
+0.0241174
+0.0225943
+0.0211498
+0.0196233
+0.0180943
+0.016594
+0.0151535
+0.0137535
+0.0123399
+0.0109842
+0.00969396
+0.00853508
+0.00730034
+0.00626582
+0.00534055
+0.00424936
+0.00308135
+0.00214366
+0.000639032
+-0.000592518
+-0.000293395
+-0.000394949
+-0.000607416
+0.000587171
+0.00132312
+0.00177594
+0.00170112
+0.00174051
+0.00167059
+0.00135885
+0.000902071
+-7.49492e-05
+-0.00202245
+-0.00114499
+-0.000568306
+-0.000271012
+-0.000540867
+-0.00100811
+-0.000342398
+0.00043479
+0.000992143
+0.00177368
+0.00231174
+0.00337292
+0.00450675
+0.00573268
+0.00710258
+0.00869481
+0.0100643
+0.0113546
+0.0128903
+0.014405
+0.0158369
+0.0161263
+0.0155592
+0.0152523
+0.015257
+0.014644
+0.0126477
+0.0107071
+0.00884037
+0.00696323
+0.00505046
+0.00312988
+0.00132915
+-0.00049666
+-0.00140554
+0.000270766
+0.000948957
+0.00263142
+0.0037888
+0.00354568
+0.0013659
+-0.000821269
+-0.0018304
+-0.00125566
+-0.000893493
+0.00032446
+-6.6675e-05
+0.000194954
+0.000935821
+0.002195
+0.00347518
+0.00479443
+0.00642591
+0.0081392
+0.00992224
+0.0116946
+0.013527
+0.0153882
+0.0173089
+0.0192469
+0.0211829
+0.0231548
+0.0251539
+0.0269072
+0.0295509
+0.0277997
+0.0260631
+0.0243968
+0.022776
+0.0211584
+0.0196502
+0.0182423
+0.0166729
+0.0151603
+0.0136205
+0.0122453
+0.0109319
+0.00950833
+0.00826943
+0.00704841
+0.00592448
+0.00490945
+0.00401878
+0.00302582
+0.00197627
+0.000966904
+-0.000476492
+-0.00164861
+-0.00121767
+-0.00111563
+0.00069372
+0.00190359
+0.0026643
+0.00284161
+0.00286685
+0.00299114
+0.00275529
+0.0024543
+0.00168582
+-0.000343841
+-0.00181336
+-8.22576e-05
+0.000500413
+0.00078052
+0.000437451
+-0.000279109
+-0.00114876
+-0.000336499
+0.000153834
+0.00094609
+0.00145373
+0.00266059
+0.00383977
+0.00502953
+0.00644793
+0.00801985
+0.00954392
+0.0110636
+0.012493
+0.0139905
+0.0150383
+0.0141193
+0.0134881
+0.0131329
+0.0131383
+0.0135039
+0.0117873
+0.00978368
+0.00779095
+0.00588223
+0.00399798
+0.00217578
+0.000317311
+-0.00155024
+-0.000818605
+0.000639146
+0.00232679
+0.00390347
+0.00496171
+0.00379956
+0.0016827
+-0.000368526
+-0.00199741
+-0.00240221
+-0.00124912
+-0.000387362
+-0.000947593
+-0.000890336
+-0.00017718
+0.00128082
+0.00224885
+0.003711
+0.00534922
+0.00708107
+0.00888916
+0.0107101
+0.0125774
+0.0144806
+0.0164231
+0.0184211
+0.0204171
+0.0224057
+0.0241796
+0.0258747
+0.0283087
+0.0265494
+0.0247849
+0.0230605
+0.0213876
+0.0197978
+0.0182325
+0.0167474
+0.0153353
+0.0137873
+0.0122176
+0.0107177
+0.00941453
+0.00809649
+0.00681612
+0.00565801
+0.00459118
+0.00359292
+0.00275592
+0.00181887
+0.000847482
+-0.000221262
+-0.000616334
+-0.0017045
+-0.0016114
+0.000130029
+0.00185386
+0.00317163
+0.00386957
+0.00404493
+0.0040626
+0.00396116
+0.00386898
+0.00274541
+0.000719431
+-0.00116092
+-0.00117852
+0.000770358
+0.00159769
+0.0017148
+0.00142609
+0.00055333
+-0.000481372
+-0.00108646
+-0.000680923
+-4.03668e-06
+0.000749573
+0.00187549
+0.00304401
+0.00426736
+0.00570803
+0.00728223
+0.00882179
+0.010365
+0.0119928
+0.0133254
+0.0132304
+0.0121758
+0.0114479
+0.0110413
+0.0110478
+0.0114802
+0.0109916
+0.00895995
+0.00697822
+0.00496713
+0.00303328
+0.00122477
+-0.000656332
+-0.00120358
+0.000481229
+0.0017714
+0.00335488
+0.00512665
+0.00623435
+0.00429434
+0.00225949
+0.000396879
+-0.000915296
+-0.00140459
+-0.000795879
+0.000751646
+0.000185793
+-0.000558627
+-0.00120902
+4.23387e-05
+0.0012534
+0.00273583
+0.0044588
+0.00620144
+0.00797356
+0.00978272
+0.0116726
+0.0136252
+0.0156075
+0.0176221
+0.0196287
+0.0214537
+0.0231414
+0.0248764
+0.0271688
+0.025348
+0.0235728
+0.0217876
+0.0200828
+0.0184049
+0.0168225
+0.0153216
+0.0138548
+0.0123362
+0.0108006
+0.0092953
+0.00794368
+0.00660186
+0.00538332
+0.00428301
+0.00315314
+0.00231611
+0.00147049
+0.000596315
+-0.000393147
+-6.51947e-05
+1.45642e-05
+-0.00162262
+-0.000587521
+0.00126469
+0.00315306
+0.00423953
+0.00469835
+0.00514092
+0.00520232
+0.00503107
+0.0047477
+0.00262835
+0.000597507
+-0.000905845
+-0.000469107
+0.00111847
+0.0025891
+0.00269992
+0.00242722
+0.0014984
+0.00051846
+-0.000257116
+-0.000832936
+-0.000872914
+2.61396e-05
+0.00109722
+0.00225806
+0.00350444
+0.00491343
+0.00647062
+0.00798923
+0.00951007
+0.0112034
+0.0126954
+0.0115559
+0.0103317
+0.00946294
+0.00899385
+0.00900177
+0.00952747
+0.0102738
+0.00819292
+0.00618367
+0.00412006
+0.00214727
+0.000193474
+-0.00172103
+5.77495e-05
+0.00163053
+0.00306152
+0.00460061
+0.00628745
+0.00696572
+0.00490648
+0.00298459
+0.00131931
+0.000184752
+-0.000334136
+-0.000327245
+0.0014035
+0.00128379
+0.000573954
+-0.000414331
+-0.00114377
+0.000319228
+0.00177625
+0.00347969
+0.00525592
+0.00699203
+0.00887401
+0.0108322
+0.0128654
+0.0149201
+0.0168868
+0.018793
+0.0203961
+0.0221003
+0.023884
+0.0259832
+0.0242666
+0.0224246
+0.0206319
+0.0188227
+0.017102
+0.015462
+0.0138342
+0.0123221
+0.0109121
+0.00939317
+0.00781617
+0.00637298
+0.00506767
+0.00392251
+0.00280289
+0.00171477
+0.000873836
+0.000106108
+-0.000558958
+0.000294187
+0.00110907
+-0.000211979
+-0.000339146
+0.00110918
+0.00246388
+0.00420095
+0.00521103
+0.00563372
+0.00618315
+0.0061609
+0.00613806
+0.00465986
+0.00271377
+0.000967027
+0.000329281
+0.000954001
+0.00224198
+0.00364803
+0.00388821
+0.00341113
+0.00241845
+0.00156255
+0.000793051
+9.08943e-05
+-0.000700272
+-0.000671656
+0.000478499
+0.00164814
+0.00287748
+0.00423448
+0.00570709
+0.00727952
+0.00880583
+0.0104328
+0.0116481
+0.010037
+0.0086507
+0.007592
+0.00703202
+0.00704215
+0.00770278
+0.0088069
+0.00765
+0.00551724
+0.00341862
+0.00134321
+-0.000681233
+-0.00103572
+0.000996874
+0.0029147
+0.00449255
+0.00597566
+0.00757767
+0.00752082
+0.00554593
+0.00371413
+0.00216396
+0.00113156
+0.000406523
+0.000262795
+0.00159228
+0.00242895
+0.00167004
+0.000769483
+-0.000705924
+-0.00069045
+0.000817255
+0.00253781
+0.00428083
+0.00613887
+0.00810127
+0.0101192
+0.0121404
+0.0141505
+0.016132
+0.017729
+0.0193722
+0.0210891
+0.0228739
+0.0246537
+0.023082
+0.0213244
+0.019555
+0.0177051
+0.0158867
+0.0141498
+0.0124909
+0.0108599
+0.00938679
+0.00796067
+0.0063943
+0.00489723
+0.00354576
+0.00245772
+0.00134625
+0.000278841
+-0.00055733
+-0.00021887
+0.000742087
+0.00156076
+0.00102673
+0.00016171
+0.000805142
+0.00250332
+0.00414663
+0.00555952
+0.00636904
+0.00677468
+0.0073283
+0.00723527
+0.00660105
+0.00469138
+0.00301593
+0.00159811
+0.00112151
+0.00215848
+0.00368785
+0.00462067
+0.00486208
+0.00427087
+0.00338902
+0.00256412
+0.00191395
+0.00104591
+0.000133931
+-0.00103625
+-0.000184077
+0.000964627
+0.002138
+0.00349859
+0.00484818
+0.00645146
+0.00801957
+0.00961247
+0.0105612
+0.00877474
+0.00719587
+0.00592712
+0.00524682
+0.00526786
+0.00608661
+0.00738432
+0.00726552
+0.00512699
+0.00300395
+0.000882352
+-0.00124352
+-0.000157249
+0.00188381
+0.00385326
+0.00585794
+0.00741215
+0.00894705
+0.00796992
+0.00606857
+0.00440504
+0.00295867
+0.00195315
+0.00106398
+0.000946151
+0.00188032
+0.00350327
+0.00275377
+0.00169746
+0.000475033
+-0.000867569
+-5.42006e-05
+0.00158589
+0.00343096
+0.00541738
+0.00751423
+0.00943981
+0.0114572
+0.0134706
+0.0150658
+0.0166577
+0.0183581
+0.0201451
+0.0220051
+0.0234034
+0.0217609
+0.0202225
+0.0184334
+0.0166678
+0.0148412
+0.01301
+0.0112674
+0.00957869
+0.00793791
+0.00647331
+0.00505003
+0.00348952
+0.00210767
+0.00128188
+-0.000194466
+-0.00090343
+-3.83718e-05
+0.00100445
+0.00197508
+0.00219891
+0.00122272
+0.00102875
+0.00206362
+0.00364874
+0.00544122
+0.00721187
+0.00768744
+0.00811982
+0.00868046
+0.00826207
+0.00637843
+0.00470835
+0.00319039
+0.00206311
+0.00188835
+0.00272259
+0.00419462
+0.00562041
+0.00589077
+0.00513126
+0.00429607
+0.00363548
+0.00297946
+0.00206527
+0.00105808
+-0.000158343
+-0.00094196
+0.000310802
+0.00139854
+0.00282126
+0.00427175
+0.00584421
+0.00746191
+0.00903742
+0.00974318
+0.00781973
+0.00602109
+0.00457021
+0.00367584
+0.00377746
+0.00482623
+0.00638544
+0.00730708
+0.00515818
+0.0030448
+0.00102465
+-0.000294394
+0.000668591
+0.00254816
+0.00456939
+0.00665338
+0.00874885
+0.0104205
+0.00857509
+0.00682052
+0.00524954
+0.00397397
+0.00307788
+0.00222253
+0.0019458
+0.00284301
+0.00431636
+0.0037998
+0.00264408
+0.00160655
+4.96528e-05
+-0.00100359
+0.000725396
+0.002631
+0.00458543
+0.00660816
+0.00859114
+0.0105992
+0.0125308
+0.0140429
+0.015707
+0.0174635
+0.019302
+0.0211695
+0.0222512
+0.0205597
+0.0189238
+0.0174104
+0.0156132
+0.0138444
+0.0120522
+0.0102245
+0.00846806
+0.00677842
+0.00518737
+0.00367654
+0.00211345
+0.000871485
+0.000498939
+-0.000511589
+0.000485735
+0.00142716
+0.00224962
+0.00322478
+0.00232834
+0.00204881
+0.00227243
+0.00335144
+0.00482204
+0.00654978
+0.0084216
+0.00906935
+0.00948799
+0.00974983
+0.00804354
+0.00625871
+0.00464551
+0.00338244
+0.00253502
+0.00264114
+0.00356342
+0.00503295
+0.00676274
+0.00690743
+0.00598895
+0.0052444
+0.00474609
+0.00400526
+0.00312198
+0.0020397
+0.000791932
+-0.000394421
+-0.000300241
+0.00100173
+0.00243445
+0.00388847
+0.00542965
+0.00712184
+0.00868053
+0.00843343
+0.00679484
+0.00499216
+0.00349983
+0.00271631
+0.00279463
+0.00384402
+0.00551404
+0.00706498
+0.00578749
+0.00391736
+0.00244601
+0.00187111
+0.00245522
+0.0037638
+0.00554479
+0.00743038
+0.0094142
+0.0111859
+0.00939272
+0.00776361
+0.00628386
+0.00514139
+0.00415486
+0.00303841
+0.00291371
+0.00373993
+0.00497172
+0.00481224
+0.00376079
+0.00269331
+0.00100449
+-0.000725274
+-0.000187596
+0.00176468
+0.00373733
+0.00576463
+0.00779393
+0.00985233
+0.011548
+0.0131396
+0.0148567
+0.016674
+0.0185474
+0.0204838
+0.0210005
+0.0193739
+0.0177333
+0.0161829
+0.0146943
+0.012856
+0.0111458
+0.00942561
+0.00760146
+0.00582511
+0.00414538
+0.00257532
+0.000941807
+0.000367684
+0.000734827
+0.00108741
+0.00190855
+0.0027112
+0.00350971
+0.00373016
+0.003043
+0.00308548
+0.00354052
+0.00467102
+0.00613332
+0.00777041
+0.00949328
+0.0104325
+0.010959
+0.0096773
+0.00790945
+0.00627072
+0.00478061
+0.0036603
+0.00321154
+0.00339741
+0.00442878
+0.00592556
+0.0076165
+0.0079075
+0.0069718
+0.00633127
+0.00580043
+0.00509046
+0.00415741
+0.00298781
+0.0018118
+0.000802554
+9.10662e-06
+0.000962881
+0.00254046
+0.00394838
+0.00551244
+0.00715557
+0.00832179
+0.00668839
+0.0054311
+0.00390257
+0.00202515
+0.000746136
+0.00087738
+0.00255445
+0.00400102
+0.00527986
+0.00677784
+0.00542882
+0.00435491
+0.00403082
+0.00443539
+0.00543108
+0.00686036
+0.00855757
+0.0104233
+0.0115945
+0.00986256
+0.00823745
+0.00686001
+0.00572744
+0.00476658
+0.00406717
+0.0040422
+0.00462051
+0.00573383
+0.00595558
+0.00501558
+0.00366355
+0.00189107
+7.66433e-05
+-0.00108865
+0.000922171
+0.00296459
+0.00505784
+0.00714361
+0.00919534
+0.0107336
+0.0123826
+0.0141658
+0.016035
+0.0179746
+0.0199662
+0.0196911
+0.0180341
+0.0164304
+0.014886
+0.013442
+0.0120022
+0.0101667
+0.00846286
+0.00677221
+0.00515971
+0.00354146
+0.0021101
+0.00100521
+0.00119517
+0.0026005
+0.00287344
+0.00337205
+0.00413977
+0.00495429
+0.00434845
+0.0039807
+0.00416497
+0.00490617
+0.00603349
+0.00745113
+0.00906562
+0.010746
+0.0118587
+0.0112948
+0.00949605
+0.00783001
+0.00634773
+0.00514438
+0.00423629
+0.00404866
+0.00452946
+0.00547673
+0.00689127
+0.00855875
+0.00853918
+0.00772123
+0.00720014
+0.00680261
+0.00620016
+0.00520196
+0.00418407
+0.00319249
+0.00246205
+0.00213777
+0.00237698
+0.00352651
+0.00468984
+0.0061403
+0.00766702
+0.0068365
+0.00528617
+0.00360889
+0.00260553
+0.00113969
+-0.000497566
+-0.000299221
+0.00103044
+0.00227285
+0.003701
+0.0055683
+0.00722515
+0.00642178
+0.00620052
+0.00650711
+0.00734446
+0.00849091
+0.00995701
+0.0116142
+0.0119569
+0.0102617
+0.00869725
+0.00738352
+0.00630577
+0.00540678
+0.00474846
+0.00473789
+0.0052908
+0.0063229
+0.00708623
+0.00638401
+0.00467087
+0.00288183
+0.00105617
+-0.000688268
+0.000215476
+0.00227989
+0.00440382
+0.00647825
+0.00847494
+0.0101864
+0.0118715
+0.0137004
+0.0156227
+0.0176077
+0.0196366
+0.0184813
+0.0167356
+0.0150799
+0.0134879
+0.0120214
+0.0106907
+0.00952299
+0.00769662
+0.00602299
+0.00444777
+0.00326119
+0.00264585
+0.00249288
+0.00294596
+0.00409112
+0.00471888
+0.00510863
+0.00562131
+0.00548846
+0.00500766
+0.0051115
+0.00538241
+0.00618804
+0.00740192
+0.00881651
+0.0103589
+0.0120075
+0.013239
+0.0113766
+0.0096469
+0.00796807
+0.00656149
+0.0055357
+0.00500541
+0.00493493
+0.00548117
+0.00650005
+0.00791121
+0.0094968
+0.00936446
+0.00872695
+0.00824058
+0.00785603
+0.0074694
+0.00656123
+0.00576403
+0.00492818
+0.00442587
+0.00432162
+0.00443086
+0.00517892
+0.00608488
+0.00726665
+0.00714749
+0.00532987
+0.00377561
+0.00237518
+0.000592604
+2.78315e-05
+-0.00140366
+-0.00178313
+-0.000627637
+0.000717618
+0.00280671
+0.00461578
+0.00618053
+0.00793473
+0.00838115
+0.00863711
+0.00932021
+0.0103014
+0.0115703
+0.0130537
+0.0123975
+0.0107974
+0.00930324
+0.00807922
+0.00705324
+0.00605964
+0.00555874
+0.00552444
+0.00596882
+0.00696715
+0.00814364
+0.0072779
+0.00556546
+0.00357948
+0.00162567
+-9.23503e-05
+-0.000377009
+0.00173587
+0.00375021
+0.00580569
+0.00785908
+0.00983817
+0.0117248
+0.0135186
+0.0153831
+0.0173153
+0.0192712
+0.0174014
+0.0155704
+0.0138146
+0.0121599
+0.0106246
+0.00920358
+0.00794688
+0.00695127
+0.00558282
+0.00422268
+0.00313979
+0.00296951
+0.0037456
+0.00489134
+0.00583376
+0.00666963
+0.0069527
+0.00659659
+0.00594022
+0.00579623
+0.00614907
+0.00687009
+0.00759737
+0.00872187
+0.0101352
+0.0116537
+0.0132856
+0.0135182
+0.0116821
+0.00996972
+0.00836689
+0.00702124
+0.00607306
+0.00564566
+0.00584663
+0.00643973
+0.00736446
+0.00867051
+0.0102165
+0.0105133
+0.00999891
+0.00958451
+0.00923248
+0.0089098
+0.00819808
+0.00753344
+0.00687514
+0.00653159
+0.00650679
+0.00656822
+0.00711028
+0.00781264
+0.00792059
+0.00595377
+0.00413637
+0.00229341
+0.000860076
+0.000213307
+-0.0018796
+-0.00283282
+-0.00347311
+-0.00148428
+0.000117409
+0.00162077
+0.00328076
+0.00510019
+0.00698022
+0.00900186
+0.0107866
+0.0113456
+0.0122368
+0.0133226
+0.0146438
+0.0129833
+0.0114628
+0.0100465
+0.00886993
+0.00790063
+0.00686958
+0.00622317
+0.00612144
+0.00665207
+0.00756228
+0.00886032
+0.00757313
+0.00539284
+0.00321906
+0.00104602
+-0.00109893
+-0.000959197
+0.00103376
+0.00310825
+0.00515379
+0.00714833
+0.0092322
+0.0109149
+0.0127241
+0.0146379
+0.0165811
+0.0185505
+0.0164959
+0.0145799
+0.0126924
+0.0109134
+0.00928749
+0.00780856
+0.00650723
+0.00539061
+0.00460475
+0.00410299
+0.00354706
+0.00364236
+0.00438726
+0.00565768
+0.00723102
+0.00873274
+0.00785751
+0.00711406
+0.00664408
+0.00660661
+0.00709638
+0.00798156
+0.00909633
+0.0102319
+0.0115128
+0.0130005
+0.0145642
+0.0139323
+0.0121263
+0.0104294
+0.00890151
+0.00759739
+0.00670344
+0.00630769
+0.00652196
+0.00732557
+0.00825441
+0.00952447
+0.0110858
+0.0119527
+0.0114984
+0.0111808
+0.0108473
+0.0105731
+0.0099979
+0.0094428
+0.0089329
+0.00866528
+0.00869228
+0.00871961
+0.00868378
+0.00748283
+0.0066788
+0.00518921
+0.00305604
+0.00109505
+-0.000427834
+-0.00180294
+-0.00286696
+-0.00462259
+-0.00444168
+-0.00289323
+-0.00145259
+0.000287683
+0.00211194
+0.00419453
+0.00632699
+0.00841028
+0.0104891
+0.0125677
+0.0142141
+0.0151892
+0.0152348
+0.0136462
+0.01219
+0.0108836
+0.00984302
+0.0085821
+0.007588
+0.00700358
+0.00686949
+0.00722502
+0.00806265
+0.00924197
+0.00765061
+0.00547211
+0.00329701
+0.00113313
+-0.00101426
+-0.00164855
+0.000496489
+0.00250373
+0.00461048
+0.0067497
+0.00838202
+0.010081
+0.0119181
+0.0138584
+0.0158434
+0.0178605
+0.015649
+0.0137296
+0.0117924
+0.00992584
+0.00815299
+0.00660281
+0.00516647
+0.00407578
+0.00330323
+0.00294338
+0.00349589
+0.00441913
+0.00526825
+0.00653746
+0.00807173
+0.00956664
+0.00854775
+0.00793409
+0.00773749
+0.0077201
+0.00813974
+0.0090108
+0.0102264
+0.0116165
+0.012946
+0.0143954
+0.0159308
+0.0145441
+0.0128061
+0.0112032
+0.00974911
+0.00852704
+0.00766572
+0.00730166
+0.00750893
+0.008195
+0.00914707
+0.0103698
+0.0118196
+0.0134711
+0.0131326
+0.0129297
+0.0126368
+0.0123882
+0.0119241
+0.0114505
+0.0110269
+0.0107915
+0.00940459
+0.0081175
+0.00689262
+0.00589595
+0.00483987
+0.00411998
+0.00299902
+0.00098998
+-0.00109389
+-0.00325109
+-0.00462204
+-0.00596223
+-0.00594771
+-0.00426023
+-0.00241522
+-0.000396233
+0.00158545
+0.00372682
+0.00590398
+0.00803778
+0.00982145
+0.0115311
+0.0133779
+0.0150812
+0.0159172
+0.0143865
+0.0129453
+0.011703
+0.0105059
+0.00923815
+0.0082609
+0.00768265
+0.00749686
+0.00787715
+0.00865185
+0.00976177
+0.00802595
+0.00588364
+0.00378986
+0.00172543
+-0.000232282
+-0.0017988
+8.59688e-05
+0.00213814
+0.00413852
+0.00587339
+0.00751779
+0.0093088
+0.011225
+0.0132267
+0.0152803
+0.0173576
+0.0146692
+0.0127489
+0.0108782
+0.00907234
+0.00727025
+0.00554199
+0.00416576
+0.00301359
+0.00230459
+0.00236763
+0.00323035
+0.00458618
+0.00622669
+0.00758627
+0.00907778
+0.0105343
+0.00955935
+0.00896904
+0.00885169
+0.00905804
+0.00946265
+0.0102562
+0.0113667
+0.0127362
+0.0142958
+0.0157955
+0.016216
+0.0144906
+0.0129072
+0.0115102
+0.0103513
+0.00949555
+0.00892132
+0.00865775
+0.00883375
+0.0093903
+0.0102471
+0.0113977
+0.012804
+0.014344
+0.0149053
+0.0147926
+0.014521
+0.0143088
+0.0139214
+0.0125991
+0.01103
+0.00929496
+0.00775556
+0.00650208
+0.00534613
+0.00424962
+0.00338938
+0.00254986
+0.00187604
+0.00118543
+-0.000835289
+-0.0029427
+-0.00508748
+-0.00725949
+-0.00640005
+-0.00423009
+-0.00208603
+-2.61139e-05
+0.00170901
+0.00357742
+0.00518412
+0.00674983
+0.00850722
+0.0103778
+0.0123131
+0.0137114
+0.014754
+0.0151937
+0.0138085
+0.0123195
+0.0108766
+0.00968217
+0.00883127
+0.00832896
+0.00829867
+0.00875198
+0.00951044
+0.0105286
+0.00861602
+0.00657315
+0.00455475
+0.00258357
+0.000709725
+-0.000971929
+-0.000525276
+0.00155858
+0.00367806
+0.00510096
+0.00680479
+0.00869282
+0.0106335
+0.0126471
+0.014672
+0.0167255
+0.0137361
+0.0117742
+0.00986108
+0.00800663
+0.00626376
+0.00462983
+0.00321939
+0.00221629
+0.00174187
+0.00203702
+0.00314511
+0.00476694
+0.00645716
+0.00830005
+0.0101825
+0.0110824
+0.0108787
+0.0103617
+0.0102224
+0.0104741
+0.0109377
+0.0116527
+0.0126899
+0.0139743
+0.0154236
+0.0170298
+0.0160037
+0.0142526
+0.0126394
+0.0112237
+0.01007
+0.0092179
+0.00883871
+0.00890747
+0.00935961
+0.0102189
+0.0112652
+0.0124923
+0.0138548
+0.0154013
+0.0167771
+0.0167127
+0.0164612
+0.0148601
+0.0130416
+0.0113554
+0.00971561
+0.00811465
+0.00629973
+0.00479623
+0.00380687
+0.00263789
+0.00206741
+0.00116461
+0.000810663
+0.000461352
+-0.000741603
+-0.00285046
+-0.00502037
+-0.00719605
+-0.00683717
+-0.0047821
+-0.0028473
+-0.00122728
+0.000534615
+0.00219491
+0.00370935
+0.00550425
+0.00742074
+0.0094465
+0.0115327
+0.0124999
+0.0135339
+0.0145351
+0.0144899
+0.0129308
+0.0115733
+0.0104761
+0.00967748
+0.00929142
+0.00929906
+0.00975212
+0.0105286
+0.0114512
+0.00944008
+0.00747167
+0.00549865
+0.00356277
+0.0016171
+-0.000217294
+-0.000986504
+0.00110393
+0.00289409
+0.00427674
+0.00603492
+0.00794021
+0.00996252
+0.0120411
+0.0141376
+0.0162577
+0.0129455
+0.0109153
+0.00893654
+0.00700657
+0.00518061
+0.00352708
+0.00216233
+0.00137331
+0.00149714
+0.00232279
+0.00360357
+0.00522433
+0.00703618
+0.00885713
+0.0107225
+0.0115951
+0.0114006
+0.0116088
+0.0118044
+0.0120262
+0.0125298
+0.0132301
+0.0141522
+0.0153339
+0.0167025
+0.0178899
+0.0160503
+0.014305
+0.0126984
+0.0112901
+0.010129
+0.00928176
+0.00888519
+0.00893557
+0.00948255
+0.0103871
+0.0116161
+0.0130579
+0.0146437
+0.0163202
+0.0179804
+0.0178702
+0.0159248
+0.013968
+0.0120153
+0.0101601
+0.00846674
+0.00677142
+0.00518689
+0.00348899
+0.002062
+0.00110258
+0.000324421
+-0.000232778
+-0.000670753
+-0.000446889
+-0.00154289
+-0.00339292
+-0.00543928
+-0.0075669
+-0.00756254
+-0.00568718
+-0.00402481
+-0.00231377
+-0.000661
+0.000727599
+0.00255207
+0.00463238
+0.0067377
+0.00886578
+0.0105767
+0.011425
+0.012327
+0.0134158
+0.0147509
+0.0138424
+0.0125643
+0.0115616
+0.0108529
+0.0105309
+0.0105735
+0.0109827
+0.011679
+0.0123253
+0.0103714
+0.00840051
+0.00650527
+0.00447787
+0.00251409
+0.000613828
+-0.000974415
+0.000629739
+0.00210125
+0.00363936
+0.00551645
+0.00749883
+0.00953319
+0.0115452
+0.0134977
+0.0154835
+0.0122503
+0.0101795
+0.00815038
+0.00614654
+0.00421789
+0.00245702
+0.00109886
+0.000552125
+0.00113645
+0.00248217
+0.00411169
+0.00596983
+0.00785754
+0.00968236
+0.0114224
+0.0124682
+0.0122875
+0.0124804
+0.0129862
+0.0137327
+0.0141596
+0.0148531
+0.0157586
+0.0168308
+0.0181036
+0.0181637
+0.016355
+0.014646
+0.0130814
+0.0117191
+0.0105893
+0.00978207
+0.00940567
+0.00946348
+0.00996405
+0.0108406
+0.0120556
+0.0134994
+0.0150802
+0.0167983
+0.0186159
+0.0170906
+0.0150447
+0.0130459
+0.0111196
+0.00931096
+0.00745435
+0.00561544
+0.00406172
+0.00245542
+0.000922305
+-5.1858e-05
+-0.00117108
+-0.00162427
+-0.00144949
+-0.0018933
+-0.0028275
+-0.00431464
+-0.0061493
+-0.00812089
+-0.00867496
+-0.00701856
+-0.00533373
+-0.00367436
+-0.00208624
+-6.33696e-05
+0.00206116
+0.00422664
+0.00634525
+0.008428
+0.00955241
+0.0103851
+0.0114078
+0.0125166
+0.0138832
+0.0141102
+0.0130735
+0.0122699
+0.0117452
+0.0116108
+0.0118279
+0.0122412
+0.0130064
+0.0132626
+0.0112197
+0.00916283
+0.00713858
+0.00518292
+0.00321672
+0.0014357
+-0.000177668
+-7.14555e-05
+0.00106791
+0.0028652
+0.00475621
+0.00667397
+0.00861362
+0.0106089
+0.0126689
+0.0147666
+0.011711
+0.00957908
+0.007481
+0.0054157
+0.00341708
+0.00157656
+0.000154928
+4.80902e-05
+0.00120852
+0.00281661
+0.0045865
+0.00642545
+0.00832233
+0.0102683
+0.0122271
+0.0135863
+0.0134207
+0.0135892
+0.0140867
+0.0148639
+0.0158949
+0.0165649
+0.0174178
+0.0184509
+0.0196189
+0.018692
+0.0169397
+0.0152962
+0.0138055
+0.0124967
+0.0114072
+0.0106569
+0.0102995
+0.0103491
+0.0108312
+0.0116793
+0.0128157
+0.0142012
+0.0157688
+0.0174216
+0.0186914
+0.016566
+0.014446
+0.0123506
+0.010295
+0.00830881
+0.00639789
+0.00449963
+0.0028737
+0.00130117
+-0.000317773
+-0.00143095
+-0.00239987
+-0.002803
+-0.00284074
+-0.00298841
+-0.0039217
+-0.00547089
+-0.00730559
+-0.00907563
+-0.0100044
+-0.00834458
+-0.00623282
+-0.0041569
+-0.00201721
+0.000124507
+0.00211042
+0.0041504
+0.00604357
+0.00769567
+0.00873633
+0.00953481
+0.0104338
+0.0116358
+0.0128081
+0.0141593
+0.0132507
+0.0124641
+0.0120177
+0.0118864
+0.0121508
+0.0127222
+0.0136255
+0.013782
+0.0117376
+0.0096253
+0.00748962
+0.00539822
+0.00343161
+0.00164331
+0.000187339
+-0.000838807
+0.000174186
+0.00186776
+0.00376674
+0.00577486
+0.00785502
+0.00995296
+0.0120839
+0.0142275
+0.0112777
+0.00915293
+0.007057
+0.00490134
+0.00277387
+0.000790811
+-0.000535854
+0.000128282
+0.00173958
+0.00356599
+0.00545561
+0.00729899
+0.00913693
+0.0110029
+0.012934
+0.0148772
+0.0147789
+0.0149338
+0.015388
+0.0161178
+0.0170835
+0.0182515
+0.0191509
+0.0201331
+0.0212028
+0.0194262
+0.0177424
+0.0161805
+0.0147791
+0.0135417
+0.0125433
+0.0118651
+0.0115451
+0.0115864
+0.0120219
+0.0128158
+0.0138622
+0.0151524
+0.0166321
+0.0182553
+0.0180167
+0.0159099
+0.0138292
+0.0117884
+0.00981255
+0.00771373
+0.00568306
+0.00372881
+0.00164151
+1.15106e-05
+-0.00150466
+-0.0027724
+-0.00351695
+-0.0040091
+-0.0034072
+-0.00348026
+-0.00434114
+-0.00577316
+-0.00754827
+-0.00945759
+-0.0108001
+-0.0087035
+-0.00665549
+-0.00452609
+-0.00249668
+-0.000594886
+0.00120854
+0.00298847
+0.00469638
+0.00652126
+0.0083351
+0.00886917
+0.00985342
+0.0108424
+0.0120352
+0.0132459
+0.0137532
+0.0129901
+0.0125497
+0.012424
+0.0126813
+0.013261
+0.0141344
+0.0142545
+0.0121426
+0.0100526
+0.00799992
+0.00590986
+0.00376936
+0.00171885
+-1.87647e-06
+-0.00158309
+-0.000882264
+0.000969721
+0.00307822
+0.005222
+0.00739227
+0.00957184
+0.0117556
+0.0139414
+0.0109814
+0.00879774
+0.00661863
+0.00444823
+0.00229004
+0.000339971
+-0.000474748
+0.000929054
+0.002794
+0.0045566
+0.00645522
+0.0083201
+0.0101697
+0.0120129
+0.0138584
+0.0157586
+0.0163191
+0.0164611
+0.0168743
+0.0175532
+0.018447
+0.0195436
+0.0207989
+0.0218705
+0.0220538
+0.0203517
+0.0187512
+0.0172807
+0.0159761
+0.0148387
+0.0139336
+0.0133263
+0.0130417
+0.0130761
+0.0134661
+0.0141793
+0.0151318
+0.0163219
+0.0177041
+0.0192371
+0.0175032
+0.0153699
+0.0132554
+0.0111263
+0.00900635
+0.00693047
+0.00495447
+0.00296706
+0.000874997
+-0.000751346
+-0.00257353
+-0.00385181
+-0.00487461
+-0.00458758
+-0.00411233
+-0.00403677
+-0.00479188
+-0.00615591
+-0.0078567
+-0.00973756
+-0.0113
+-0.00930963
+-0.007298
+-0.00536625
+-0.00362155
+-0.00173702
+-2.01915e-05
+0.00172302
+0.00373426
+0.00582373
+0.00771913
+0.00849863
+0.00929586
+0.0102978
+0.0112835
+0.0124268
+0.0136919
+0.0138055
+0.0133886
+0.0132708
+0.013512
+0.0140647
+0.0148946
+0.0148292
+0.0126795
+0.0105466
+0.00837005
+0.00619387
+0.00403224
+0.00187656
+-0.00014893
+-0.00181005
+-0.00127292
+0.000802356
+0.00297594
+0.00516123
+0.00734781
+0.00953548
+0.0117243
+0.0139137
+0.0110655
+0.00889934
+0.00673575
+0.00459382
+0.00253657
+0.00083515
+0.000843657
+0.00224683
+0.00386526
+0.0057566
+0.00756962
+0.0094092
+0.0112515
+0.0131281
+0.0149614
+0.0167932
+0.0179947
+0.0181251
+0.0185011
+0.0191223
+0.0199515
+0.0209695
+0.0221581
+0.0234734
+0.0230821
+0.0214616
+0.0199504
+0.0185751
+0.017368
+0.0163277
+0.0155097
+0.0149665
+0.0147113
+0.0147418
+0.0150912
+0.0157309
+0.0165945
+0.0176865
+0.0189695
+0.0193634
+0.0171819
+0.0150031
+0.0128282
+0.0106599
+0.00850307
+0.00636936
+0.00428058
+0.00225543
+0.00032814
+-0.00148843
+-0.00356773
+-0.00478611
+-0.00570952
+-0.00470976
+-0.0036209
+-0.0033605
+-0.00419486
+-0.00540736
+-0.00700059
+-0.00826227
+-0.00967104
+-0.0102238
+-0.00837945
+-0.00665545
+-0.00476313
+-0.00302852
+-0.000923288
+0.00121127
+0.00309561
+0.00507936
+0.00716611
+0.00799441
+0.00867587
+0.00959984
+0.0106024
+0.0116557
+0.0129961
+0.0145444
+0.0144803
+0.0143715
+0.0145945
+0.0151346
+0.0159188
+0.015052
+0.0128866
+0.0107315
+0.00858516
+0.0064441
+0.00435043
+0.00231945
+0.0003922
+-0.00101811
+-0.000694509
+0.00119715
+0.0033346
+0.00550815
+0.00766972
+0.0098229
+0.0119592
+0.0141122
+0.0115019
+0.00942494
+0.00741376
+0.00550352
+0.00381914
+0.00272812
+0.00273217
+0.00385188
+0.0053177
+0.00690573
+0.00871931
+0.0106316
+0.0124042
+0.0142535
+0.0161031
+0.0179552
+0.0197713
+0.0198913
+0.0202346
+0.0208041
+0.0215687
+0.0225137
+0.0236247
+0.0248794
+0.024265
+0.0227291
+0.0213079
+0.0200261
+0.0189042
+0.0179368
+0.0171955
+0.0167105
+0.0165033
+0.0165305
+0.0168448
+0.0174203
+0.0182039
+0.0192046
+0.0203924
+0.0193235
+0.0171369
+0.0149515
+0.0127679
+0.0105872
+0.00841179
+0.00624698
+0.0041097
+0.0020799
+0.000236895
+-0.00183091
+-0.0039758
+-0.00595587
+-0.00549451
+-0.00402817
+-0.00271697
+-0.0020425
+-0.00276424
+-0.00419258
+-0.00527432
+-0.00661064
+-0.00817265
+-0.00972216
+-0.00919066
+-0.00766746
+-0.00566567
+-0.0035381
+-0.0015063
+0.000481415
+0.00256736
+0.00471904
+0.00671224
+0.00778544
+0.00822348
+0.00893911
+0.0100588
+0.0112643
+0.0126234
+0.014032
+0.0156066
+0.0156792
+0.0158839
+0.0163816
+0.0171115
+0.0154476
+0.0133289
+0.011238
+0.00919216
+0.00719124
+0.00520214
+0.00335203
+0.00186747
+0.000141609
+-3.18813e-05
+0.00140208
+0.00333672
+0.00545504
+0.00761443
+0.00978564
+0.0119605
+0.0141403
+0.0123079
+0.0103853
+0.00854161
+0.00690347
+0.00561983
+0.00485508
+0.00483398
+0.00559879
+0.00693766
+0.00840408
+0.00997896
+0.0117497
+0.0136027
+0.015439
+0.0172715
+0.0190964
+0.0209628
+0.021735
+0.0220496
+0.0225733
+0.0232799
+0.0241581
+0.0251967
+0.0263767
+0.0255813
+0.0241292
+0.0227955
+0.0216021
+0.0205364
+0.0196495
+0.0189752
+0.0185368
+0.0183512
+0.0183852
+0.0186685
+0.0191992
+0.0199245
+0.0208428
+0.0216974
+0.0195308
+0.0173703
+0.0152185
+0.0130795
+0.010961
+0.00886756
+0.00671071
+0.00458601
+0.00243941
+0.000250064
+-0.00193648
+-0.00375607
+-0.00561937
+-0.00406789
+-0.00270161
+-0.00152306
+-0.000413362
+-0.00114532
+-0.0023738
+-0.00355727
+-0.00509963
+-0.00664223
+-0.00807196
+-0.00758077
+-0.00686768
+-0.00559755
+-0.00357967
+-0.00149993
+0.000352839
+0.00242871
+0.0045886
+0.00653831
+0.00766493
+0.00791737
+0.00865834
+0.00974713
+0.0108076
+0.0121349
+0.013626
+0.0152245
+0.0168073
+0.017355
+0.0178116
+0.018154
+0.0160935
+0.0140723
+0.0120792
+0.0100923
+0.00820092
+0.0064238
+0.00484997
+0.00277742
+0.000900949
+0.000671685
+0.00199445
+0.00378616
+0.00580035
+0.0078822
+0.0100051
+0.0121408
+0.0142931
+0.0133912
+0.0116115
+0.00999632
+0.00863859
+0.00757467
+0.0069979
+0.00698328
+0.00756805
+0.00862611
+0.0100296
+0.0114944
+0.0130639
+0.0147923
+0.0166106
+0.0184931
+0.0202851
+0.0221186
+0.023638
+0.0239276
+0.0244111
+0.0250659
+0.0258836
+0.0268555
+0.0279656
+0.0270112
+0.0256403
+0.0243894
+0.0232584
+0.0222646
+0.0214493
+0.0208334
+0.0204349
+0.0202666
+0.0202967
+0.0205537
+0.0210368
+0.0217299
+0.0225748
+0.0216578
+0.0194707
+0.0172846
+0.0150998
+0.0129165
+0.010734
+0.00855388
+0.00638097
+0.00422643
+0.00210509
+0.000103489
+-0.00187957
+-0.00357513
+-0.00420456
+-0.00278819
+-0.00125635
+-1.55644e-05
+0.00142475
+0.00063036
+-0.000545898
+-0.00202913
+-0.00359223
+-0.00514484
+-0.00629194
+-0.00581341
+-0.00507194
+-0.00415292
+-0.00278468
+-0.000979333
+0.000911196
+0.00286436
+0.00491756
+0.00676838
+0.00790934
+0.00815422
+0.00869904
+0.00955771
+0.0106787
+0.0119827
+0.0134779
+0.0150593
+0.016592
+0.0182104
+0.0193797
+0.0189579
+0.0169672
+0.0149879
+0.0130762
+0.0112291
+0.00942991
+0.00727454
+0.00513987
+0.00307939
+0.00129758
+0.00102959
+0.00253823
+0.00434882
+0.00634448
+0.00838392
+0.0104508
+0.0125563
+0.0146746
+0.0146932
+0.0130917
+0.011683
+0.0105029
+0.00963156
+0.00916338
+0.00915222
+0.00963341
+0.0104851
+0.0116906
+0.013122
+0.0145878
+0.0161539
+0.017852
+0.0196455
+0.0214873
+0.0233207
+0.0251502
+0.0258548
+0.0263029
+0.0269117
+0.0276749
+0.028586
+0.0296314
+0.0285379
+0.0272439
+0.0260645
+0.0249904
+0.0240683
+0.0233161
+0.0227508
+0.0223864
+0.022233
+0.0222597
+0.0224943
+0.0229366
+0.023575
+0.0238719
+0.0216868
+0.0195031
+0.017321
+0.0151415
+0.012965
+0.0107928
+0.00862611
+0.00645624
+0.0043048
+0.00215845
+6.00585e-05
+-0.00187615
+-0.00336321
+-0.00287956
+-0.00130223
+6.75751e-05
+0.00156951
+0.00295626
+0.00240535
+0.00103953
+-0.000568414
+-0.00213303
+-0.00339425
+-0.00432824
+-0.00395124
+-0.00329189
+-0.00241308
+-0.00139624
+-2.79371e-05
+0.00170619
+0.00356729
+0.00561838
+0.00731408
+0.00853025
+0.00858069
+0.00892202
+0.00957031
+0.0105652
+0.0118798
+0.0133865
+0.0148532
+0.0163524
+0.0178853
+0.0195221
+0.0198849
+0.01796
+0.0160907
+0.0139407
+0.0118034
+0.00966113
+0.00754475
+0.00547945
+0.00350626
+0.00195044
+0.00189454
+0.0032685
+0.00510802
+0.00708458
+0.00904052
+0.0110575
+0.0131302
+0.015231
+0.0161881
+0.0147498
+0.0135071
+0.0124619
+0.011737
+0.0113386
+0.0113295
+0.0117368
+0.0124524
+0.0134831
+0.0147691
+0.0162149
+0.017683
+0.0192466
+0.020923
+0.0226872
+0.0245066
+0.0263708
+0.027821
+0.028238
+0.0288059
+0.0295202
+0.030376
+0.0313617
+0.0301466
+0.0289246
+0.0277944
+0.0267897
+0.0259316
+0.0252351
+0.0247137
+0.0243787
+0.0242378
+0.0242617
+0.0244771
+0.0248842
+0.0254738
+0.0240713
+0.0218911
+0.0197133
+0.0175387
+0.0153687
+0.0132054
+0.0110531
+0.00889692
+0.0067592
+0.00466969
+0.00262838
+0.000941111
+-0.000425488
+-0.00168795
+-0.00118239
+0.000113645
+0.0016466
+0.00298417
+0.0045608
+0.00406303
+0.00246229
+0.00087266
+-0.000502559
+-0.00162508
+-0.00239589
+-0.00212111
+-0.00152394
+-0.000650608
+0.000251845
+0.0013651
+0.00278778
+0.00446485
+0.00619153
+0.00776006
+0.0090956
+0.00914993
+0.00931374
+0.00993257
+0.010898
+0.0121596
+0.0134762
+0.0148953
+0.016287
+0.0178255
+0.0194673
+0.0207423
+0.0185967
+0.0164629
+0.0143464
+0.012256
+0.0102076
+0.00823298
+0.00634779
+0.00469775
+0.00366464
+0.00356271
+0.00452593
+0.00608349
+0.00789614
+0.00985234
+0.0118569
+0.0138759
+0.0158831
+0.0178274
+0.0165323
+0.0153957
+0.0144875
+0.0138688
+0.0135187
+0.0135112
+0.0138545
+0.014484
+0.0153792
+0.0165182
+0.0178509
+0.0193093
+0.020779
+0.0223407
+0.0240009
+0.0257407
+0.0275429
+0.0293795
+0.030208
+0.0307395
+0.0314099
+0.0322155
+0.0330847
+0.0318248
+0.030655
+0.0295854
+0.0286436
+0.0278427
+0.0271951
+0.026712
+0.0264024
+0.0262724
+0.0262939
+0.0264927
+0.0268693
+0.0264651
+0.0243022
+0.0221448
+0.0199947
+0.0178544
+0.015728
+0.0136219
+0.0115474
+0.00947626
+0.00746589
+0.00559221
+0.0038009
+0.002398
+0.00107971
+0.000436135
+0.000808531
+0.00182802
+0.00306291
+0.00442235
+0.00593907
+0.00549194
+0.00390481
+0.00245008
+0.00117766
+0.000113005
+-0.00045501
+-0.000295253
+0.000257158
+0.0011268
+0.0019839
+0.00294662
+0.00413205
+0.00563344
+0.00714737
+0.00854305
+0.00988019
+0.0098644
+0.0100966
+0.0106412
+0.0113941
+0.0124334
+0.0137197
+0.0150822
+0.0165145
+0.0180336
+0.019658
+0.0212297
+0.0191388
+0.0170729
+0.0150425
+0.0130639
+0.0111414
+0.00931176
+0.00767365
+0.00637647
+0.00563045
+0.00555113
+0.00625166
+0.00748182
+0.00905999
+0.0108409
+0.0127218
+0.0146887
+0.0166963
+0.0195749
+0.0183835
+0.0173555
+0.0165552
+0.016011
+0.0157018
+0.0156953
+0.0159918
+0.0165562
+0.0173448
+0.0183622
+0.0195729
+0.0209327
+0.0224047
+0.0238755
+0.0254358
+0.0270835
+0.0288037
+0.0305841
+0.0322065
+0.0327056
+0.0333364
+0.0340966
+0.0347591
+0.0335578
+0.032436
+0.031427
+0.0305421
+0.0297923
+0.029188
+0.0287384
+0.0284508
+0.0283302
+0.0283496
+0.0285341
+0.0274473
+0.0262013
+0.0247259
+0.0226089
+0.0205075
+0.0184269
+0.016375
+0.0143399
+0.012344
+0.0104267
+0.00852364
+0.00678076
+0.00522154
+0.00403427
+0.00297823
+0.00254896
+0.00279508
+0.00365285
+0.00470195
+0.00595286
+0.00737629
+0.00696445
+0.00540983
+0.00401663
+0.00281494
+0.00190201
+0.0014802
+0.00148823
+0.00207071
+0.00274883
+0.00373877
+0.00459202
+0.00572413
+0.0070277
+0.00812974
+0.00955563
+0.0108001
+0.0108566
+0.0109618
+0.011333
+0.012028
+0.0130304
+0.0142417
+0.015559
+0.0170107
+0.0184876
+0.020087
+0.0217789
+0.0199085
+0.0179316
+0.0159987
+0.0141188
+0.0123418
+0.010719
+0.00933132
+0.00829746
+0.00770058
+0.00764278
+0.0081929
+0.00917469
+0.0105199
+0.0120977
+0.013842
+0.0156785
+0.0175877
+0.0214027
+0.0202914
+0.0193649
+0.018651
+0.0181588
+0.0178868
+0.0178811
+0.0181419
+0.018655
+0.0193582
+0.0202749
+0.0213776
+0.0226391
+0.0240187
+0.0255008
+0.0269724
+0.0285315
+0.0301693
+0.0318735
+0.0336341
+0.0346986
+0.0352938
+0.0360126
+0.0364882
+0.0353283
+0.0342645
+0.0333109
+0.0324774
+0.0317733
+0.0312074
+0.0307873
+0.030519
+0.0303691
+0.0288118
+0.0273118
+0.0259088
+0.0245878
+0.0233962
+0.0223563
+0.021235
+0.0192212
+0.0172337
+0.0152628
+0.0133249
+0.0114784
+0.009775
+0.00820197
+0.00695371
+0.00590642
+0.00494172
+0.00449981
+0.00465167
+0.00543999
+0.00639032
+0.00756802
+0.00885966
+0.00833697
+0.00686661
+0.00563865
+0.00456916
+0.00375404
+0.00341526
+0.00337272
+0.00389109
+0.00454826
+0.0054466
+0.00644507
+0.00737156
+0.00849378
+0.00940941
+0.0106826
+0.0116424
+0.0117312
+0.0119651
+0.01233
+0.0129693
+0.0139202
+0.0150281
+0.0162995
+0.0177247
+0.0191466
+0.0206984
+0.0223574
+0.0208753
+0.0189727
+0.017139
+0.0153989
+0.0137879
+0.0123566
+0.0111741
+0.0103264
+0.00982316
+0.00977792
+0.0102137
+0.011044
+0.0121846
+0.0135851
+0.0151599
+0.0168721
+0.0186811
+0.0232693
+0.0222513
+0.0214098
+0.0207663
+0.0203157
+0.020073
+0.0200679
+0.0203006
+0.0207631
+0.0214055
+0.0222379
+0.0232477
+0.0244127
+0.025712
+0.0271075
+0.0285924
+0.0300695
+0.0316277
+0.0332573
+0.0349482
+0.0366921
+0.0372771
+0.0379584
+0.0382529
+0.0371436
+0.0361333
+0.0352304
+0.0344433
+0.0337802
+0.0332484
+0.0325251
+0.0307699
+0.029074
+0.0274481
+0.0259055
+0.0244237
+0.0230503
+0.0217749
+0.0206534
+0.0197125
+0.0189587
+0.0181296
+0.0162383
+0.0144321
+0.0127303
+0.0111613
+0.00980617
+0.00870113
+0.00769813
+0.00685107
+0.00634081
+0.00649257
+0.00723791
+0.00797595
+0.00908272
+0.0103501
+0.00976882
+0.00849343
+0.00739148
+0.00635797
+0.00561946
+0.00527963
+0.00526948
+0.00571556
+0.00649343
+0.00727753
+0.00827564
+0.00899755
+0.00992357
+0.0109221
+0.012049
+0.0126019
+0.012684
+0.0127419
+0.0131272
+0.0138222
+0.0147661
+0.0159139
+0.0172341
+0.0186452
+0.0200248
+0.0215133
+0.0231139
+0.0219809
+0.0201828
+0.0184697
+0.0168675
+0.0154108
+0.0141446
+0.0131242
+0.0124005
+0.0119703
+0.0119332
+0.0122928
+0.013014
+0.0139949
+0.0152298
+0.0166623
+0.0182342
+0.019923
+0.0251881
+0.0242508
+0.0234811
+0.0228959
+0.0224792
+0.0222601
+0.0222555
+0.0224656
+0.0228844
+0.0234786
+0.02424
+0.0251695
+0.0262494
+0.0274619
+0.0287903
+0.0301982
+0.0316842
+0.0331669
+0.0347243
+0.0363471
+0.0380268
+0.0392825
+0.0399296
+0.0400555
+0.0389975
+0.0380365
+0.0371798
+0.0364349
+0.0352108
+0.0333249
+0.0314721
+0.0296547
+0.027891
+0.0261919
+0.0245706
+0.0230434
+0.0215926
+0.0202609
+0.0190506
+0.0180262
+0.0172209
+0.0166464
+0.0160522
+0.0150439
+0.0141546
+0.0127413
+0.011482
+0.0104745
+0.00944369
+0.00872165
+0.00832695
+0.00844379
+0.00905039
+0.00968986
+0.0106525
+0.0118691
+0.0113284
+0.0101606
+0.00908922
+0.00813161
+0.00748326
+0.00716937
+0.00719188
+0.00754872
+0.0082783
+0.00917524
+0.00970487
+0.0104251
+0.011297
+0.0124395
+0.0136102
+0.0138169
+0.0137517
+0.0137712
+0.0141344
+0.014816
+0.0157374
+0.0168401
+0.0181119
+0.0194788
+0.0209699
+0.0225126
+0.0240468
+0.023241
+0.0215483
+0.0199528
+0.0184796
+0.0171603
+0.0160329
+0.0151403
+0.0144971
+0.0141308
+0.0140994
+0.014405
+0.0150271
+0.0159012
+0.0169982
+0.0177794
+0.0185356
+0.0195097
+0.0271481
+0.0262808
+0.0255723
+0.025036
+0.0246475
+0.0244479
+0.0244437
+0.0246351
+0.0250176
+0.0255714
+0.0262721
+0.0271322
+0.0281368
+0.0292713
+0.030521
+0.0318693
+0.0332903
+0.034776
+0.0362643
+0.0378211
+0.0394381
+0.0411083
+0.0419226
+0.0418951
+0.0408848
+0.0399691
+0.0383074
+0.0363181
+0.0343533
+0.0324175
+0.0305162
+0.0286563
+0.0268351
+0.0250644
+0.0233651
+0.0217538
+0.0202382
+0.0188379
+0.017575
+0.0164591
+0.015573
+0.0149577
+0.0144887
+0.0133681
+0.012495
+0.0118673
+0.0115224
+0.0114486
+0.0113319
+0.0106838
+0.0103642
+0.0104014
+0.0107279
+0.011405
+0.0124081
+0.0134779
+0.0130302
+0.0119358
+0.0109059
+0.00999996
+0.00939469
+0.00909088
+0.00911321
+0.00940701
+0.0100214
+0.0107517
+0.0111902
+0.0118697
+0.0128329
+0.0139098
+0.0151639
+0.0152315
+0.0150116
+0.0150511
+0.0153841
+0.0160126
+0.0168661
+0.0179232
+0.0191328
+0.0204926
+0.021917
+0.0234578
+0.0250955
+0.0246318
+0.0230415
+0.0215568
+0.0202009
+0.0190015
+0.0179898
+0.0171991
+0.0166179
+0.0162994
+0.0162722
+0.0165377
+0.0164111
+0.0164231
+0.0167141
+0.0172297
+0.0179961
+0.0189675
+0.029141
+0.0283348
+0.0276788
+0.0271787
+0.0268194
+0.0266361
+0.0266322
+0.026808
+0.0271599
+0.0276793
+0.0283279
+0.0291273
+0.0300654
+0.0311296
+0.0323075
+0.0335872
+0.0349509
+0.0363834
+0.0378685
+0.0393619
+0.0409181
+0.0425302
+0.0439344
+0.043767
+0.0417504
+0.039692
+0.0376484
+0.0356224
+0.033617
+0.0316361
+0.0296848
+0.0277693
+0.0258973
+0.0240744
+0.0222991
+0.0206039
+0.0190103
+0.0175156
+0.0161803
+0.0150463
+0.0140738
+0.0133898
+0.0128588
+0.0117399
+0.0108949
+0.0102406
+0.0097831
+0.00969602
+0.00996827
+0.00906977
+0.0085696
+0.00850575
+0.00890192
+0.00971243
+0.0108203
+0.0119567
+0.0125917
+0.0135029
+0.0127061
+0.0118944
+0.0113744
+0.0110765
+0.0110995
+0.0113781
+0.0118994
+0.0123613
+0.0127888
+0.0134849
+0.0143784
+0.0154757
+0.0166818
+0.016632
+0.016431
+0.0165037
+0.016808
+0.0173851
+0.0181897
+0.0191666
+0.0203057
+0.021604
+0.0230275
+0.0245048
+0.0260768
+0.0261325
+0.0246392
+0.0232567
+0.0220058
+0.0209102
+0.0199954
+0.0192828
+0.0183749
+0.0174917
+0.0167789
+0.0162559
+0.0160179
+0.0160249
+0.0163231
+0.0168506
+0.0176335
+0.0186239
+0.0311604
+0.0304078
+0.0297976
+0.0293269
+0.0289942
+0.0288247
+0.0288211
+0.0289836
+0.0293094
+0.0297932
+0.0304026
+0.0311488
+0.0320277
+0.0330288
+0.0341412
+0.0353546
+0.0366588
+0.0380351
+0.0394773
+0.040962
+0.0424595
+0.0440152
+0.0454613
+0.0433577
+0.0412631
+0.039179
+0.0371073
+0.0350499
+0.0330098
+0.0309902
+0.0289954
+0.0270311
+0.0251041
+0.023224
+0.0213832
+0.0196089
+0.0179271
+0.016366
+0.0149401
+0.0137043
+0.0127216
+0.0119689
+0.0112585
+0.00998946
+0.00904919
+0.00847888
+0.00822623
+0.00809701
+0.00840893
+0.00745522
+0.00686886
+0.0067899
+0.00725767
+0.00819519
+0.00946683
+0.0104387
+0.0111324
+0.0121351
+0.0134225
+0.01387
+0.0133439
+0.0130803
+0.0131201
+0.0134015
+0.0137734
+0.0141281
+0.0145231
+0.0151705
+0.0160419
+0.0170653
+0.0182623
+0.0181457
+0.017988
+0.0180544
+0.0183629
+0.0188926
+0.0196234
+0.0205321
+0.0216232
+0.0228469
+0.0242072
+0.0256826
+0.0271995
+0.0277252
+0.0263224
+0.025033
+0.0234723
+0.0219401
+0.0205157
+0.0192359
+0.0181313
+0.0172356
+0.0165827
+0.016149
+0.0159094
+0.0159209
+0.0161992
+0.0167276
+0.017516
+0.0185301
+0.0332016
+0.0324963
+0.031926
+0.0314809
+0.0311712
+0.0310136
+0.0310103
+0.0311614
+0.0314646
+0.0319157
+0.0324925
+0.0331917
+0.0340179
+0.034962
+0.0360148
+0.037167
+0.0384098
+0.0397345
+0.0411214
+0.0425718
+0.044056
+0.0455572
+0.0451207
+0.0430004
+0.0408875
+0.0387833
+0.0366891
+0.034607
+0.0325391
+0.0304883
+0.0284584
+0.0264541
+0.0244819
+0.0225499
+0.0206527
+0.0188146
+0.0170577
+0.0154089
+0.0139104
+0.012602
+0.0115256
+0.010763
+0.00983651
+0.00840547
+0.00727369
+0.0066383
+0.00658753
+0.00678778
+0.00714117
+0.00605828
+0.00533078
+0.00521919
+0.00581954
+0.00697046
+0.00846479
+0.00909903
+0.00983373
+0.0109303
+0.0122695
+0.0138278
+0.0153244
+0.0150947
+0.0151222
+0.0152815
+0.0155481
+0.0158981
+0.01635
+0.016949
+0.0177655
+0.0187468
+0.0196519
+0.0197797
+0.0196411
+0.0197023
+0.0200043
+0.0205235
+0.0211868
+0.0220311
+0.0230534
+0.0242245
+0.0255115
+0.0269155
+0.0284192
+0.0285857
+0.026815
+0.0251108
+0.0234873
+0.0219561
+0.0205328
+0.0192542
+0.0181507
+0.017256
+0.0166039
+0.0162143
+0.0159739
+0.0159758
+0.0162753
+0.0168565
+0.0176417
+0.018649
+0.0352607
+0.0345974
+0.0340623
+0.0336396
+0.03335
+0.0332027
+0.0331996
+0.0333408
+0.0336244
+0.0340469
+0.0345948
+0.0352524
+0.0360314
+0.036924
+0.0379224
+0.0390183
+0.0402039
+0.0414713
+0.0428134
+0.0442094
+0.0456667
+0.0470219
+0.0448845
+0.0427525
+0.0406267
+0.0385082
+0.0363983
+0.0342985
+0.0322108
+0.0301377
+0.0280824
+0.0260493
+0.0240438
+0.0220736
+0.0201315
+0.0182409
+0.0164251
+0.0147117
+0.0131396
+0.0117606
+0.0106436
+0.00981266
+0.00862182
+0.00699403
+0.00571938
+0.00493971
+0.00492432
+0.00551251
+0.00596477
+0.00450435
+0.00354074
+0.00340791
+0.00422299
+0.00560725
+0.00730979
+0.00797725
+0.00876035
+0.00991032
+0.0113703
+0.0130365
+0.0148315
+0.0166881
+0.017093
+0.0171077
+0.0173611
+0.0177308
+0.0182571
+0.0185381
+0.0183406
+0.0183713
+0.018661
+0.0191979
+0.019962
+0.0209061
+0.0217253
+0.0222166
+0.0228535
+0.0236384
+0.0245939
+0.0257011
+0.026931
+0.0282646
+0.0297001
+0.0287653
+0.0270064
+0.0253151
+0.0237056
+0.0221894
+0.0207822
+0.0195198
+0.0184296
+0.0175299
+0.0168679
+0.0164728
+0.0162647
+0.016295
+0.0165887
+0.0171593
+0.0179492
+0.0189358
+0.0373348
+0.036709
+0.0362049
+0.0358022
+0.0355302
+0.035392
+0.0353891
+0.0355216
+0.0357879
+0.0361852
+0.0367075
+0.0373279
+0.0380644
+0.0389105
+0.0398591
+0.0409032
+0.0420356
+0.0432494
+0.0445379
+0.0458932
+0.0472987
+0.0468978
+0.0447545
+0.0426159
+0.040483
+0.0383566
+0.0362378
+0.0341281
+0.0320293
+0.0299436
+0.0278741
+0.0258245
+0.0238001
+0.0218079
+0.0198398
+0.0179185
+0.0160662
+0.01431
+0.0126882
+0.0112541
+0.0100812
+0.00919966
+0.00767891
+0.00581928
+0.00424898
+0.00333137
+0.00339268
+0.00421674
+0.00505496
+0.00331077
+0.00204798
+0.00187674
+0.00291315
+0.00460104
+0.0065286
+0.00725775
+0.00802296
+0.00925522
+0.0107958
+0.0125314
+0.0143687
+0.0162777
+0.0182456
+0.0189985
+0.0192295
+0.0189027
+0.0182072
+0.0177565
+0.0175502
+0.0175824
+0.0178848
+0.0184443
+0.0192384
+0.0202175
+0.0213537
+0.0223809
+0.0232685
+0.0243215
+0.0255196
+0.0268433
+0.0282749
+0.0297142
+0.0309036
+0.0291091
+0.0273724
+0.0257051
+0.0241216
+0.0226333
+0.0212426
+0.0199921
+0.0189133
+0.0180373
+0.0173946
+0.0170077
+0.0168104
+0.0168673
+0.0171661
+0.0177181
+0.018479
+0.019444
+0.0394215
+0.0388294
+0.038348
+0.037968
+0.0377117
+0.0375815
+0.0375788
+0.0377036
+0.0379546
+0.0383294
+0.0388243
+0.0394159
+0.0401141
+0.0409178
+0.0418209
+0.0428172
+0.0439002
+0.0450638
+0.0463019
+0.0476086
+0.0489742
+0.0468758
+0.0447314
+0.0425918
+0.0404575
+0.0383297
+0.0362093
+0.0340979
+0.0319971
+0.0299092
+0.0278371
+0.0257846
+0.0237568
+0.0217606
+0.0197878
+0.0178609
+0.016002
+0.0142369
+0.0126038
+0.0111603
+0.00997851
+0.00908696
+0.00720776
+0.00523178
+0.00341474
+0.00220619
+0.00228309
+0.00344627
+0.00472438
+0.00279772
+0.00118279
+0.000785374
+0.00233581
+0.00425169
+0.00631648
+0.0069723
+0.00777184
+0.009038
+0.0106098
+0.0123446
+0.0141788
+0.0161023
+0.0180868
+0.020114
+0.0193296
+0.0183909
+0.0176754
+0.0172107
+0.0170072
+0.0170403
+0.0173522
+0.0179284
+0.0187443
+0.019749
+0.0209107
+0.0222282
+0.0232239
+0.0242789
+0.025479
+0.0268047
+0.0282383
+0.0297642
+0.0312911
+0.0296115
+0.027906
+0.0262726
+0.0247148
+0.0232392
+0.0218836
+0.0206719
+0.0196306
+0.018788
+0.0181719
+0.0177961
+0.0176134
+0.0176678
+0.0179533
+0.0184818
+0.0192409
+0.0201734
+0.0415189
+0.0409571
+0.0404962
+0.0401366
+0.0398941
+0.0397711
+0.0397685
+0.0398865
+0.0401238
+0.0404785
+0.0409475
+0.0415144
+0.0421779
+0.042943
+0.0438044
+0.0447565
+0.0457937
+0.0469104
+0.048101
+0.0493601
+0.049101
+0.0469557
+0.0448144
+0.0426777
+0.0405467
+0.0384224
+0.0363061
+0.034199
+0.0321032
+0.0300209
+0.0279552
+0.0259101
+0.0238908
+0.0219041
+0.0199413
+0.0180273
+0.0161836
+0.0144372
+0.0128279
+0.0114138
+0.0102759
+0.00936673
+0.0073054
+0.00534792
+0.00356267
+0.00239192
+0.00244856
+0.00361164
+0.00501146
+0.00316801
+0.00163716
+0.00146127
+0.00287337
+0.00471917
+0.00668501
+0.00723793
+0.00801625
+0.009249
+0.0107898
+0.0124953
+0.0143131
+0.0162207
+0.0181922
+0.0201572
+0.0190422
+0.0180887
+0.0173607
+0.0168874
+0.0166905
+0.0167421
+0.0170595
+0.0176451
+0.0184736
+0.019514
+0.0206914
+0.022022
+0.0233855
+0.0244335
+0.0256263
+0.0269448
+0.0283713
+0.0298905
+0.0314409
+0.0302644
+0.0285979
+0.0269894
+0.0254571
+0.0240271
+0.0227186
+0.0215539
+0.0205573
+0.0197543
+0.0191652
+0.0187983
+0.0186407
+0.0186921
+0.0189621
+0.0194633
+0.0201855
+0.0211017
+0.0436255
+0.0430912
+0.0426487
+0.0423074
+0.0420775
+0.0419608
+0.0419584
+0.0420702
+0.0422953
+0.042632
+0.0430775
+0.0436221
+0.0442539
+0.0449837
+0.0458068
+0.0467181
+0.0477127
+0.0487855
+0.0499313
+0.0511454
+0.0492576
+0.0471186
+0.0449846
+0.0428564
+0.0407347
+0.0386208
+0.0365159
+0.0344217
+0.0323404
+0.0302744
+0.0282273
+0.0262033
+0.0242085
+0.0222502
+0.0203207
+0.0184461
+0.0166488
+0.0149568
+0.01341
+0.0120644
+0.010994
+0.00987142
+0.00791284
+0.00609417
+0.00459215
+0.00367705
+0.00371975
+0.00462592
+0.00591751
+0.00429966
+0.00319838
+0.00310351
+0.00413984
+0.00574249
+0.00752881
+0.00806517
+0.00877039
+0.0099192
+0.0113295
+0.0129507
+0.01472
+0.0165903
+0.0185309
+0.0201217
+0.0190047
+0.0180491
+0.0173195
+0.016845
+0.0166476
+0.0166994
+0.0170175
+0.0176046
+0.0184349
+0.0194774
+0.0206598
+0.0219914
+0.0234524
+0.0247558
+0.0259329
+0.0272356
+0.0286468
+0.0301512
+0.0317145
+0.0310582
+0.0294147
+0.0278436
+0.0263611
+0.0249829
+0.0237272
+0.0226144
+0.0216666
+0.0209063
+0.0203456
+0.0199874
+0.0198411
+0.01989
+0.0201595
+0.0206315
+0.0213142
+0.0221838
+0.04574
+0.0452307
+0.0448049
+0.0444802
+0.0442615
+0.0441507
+0.0441483
+0.0442546
+0.0444687
+0.044789
+0.0452133
+0.0457375
+0.0463405
+0.047038
+0.0478257
+0.0486992
+0.0496542
+0.0506858
+0.0517897
+0.0516424
+0.0495095
+0.0473819
+0.0452603
+0.0431457
+0.041039
+0.0389416
+0.036855
+0.0347813
+0.0327228
+0.0306826
+0.0286646
+0.0266739
+0.024717
+0.0228024
+0.0209237
+0.0191083
+0.0173797
+0.0157664
+0.0143074
+0.0130537
+0.0120686
+0.0107297
+0.00894018
+0.00736733
+0.00613992
+0.00542107
+0.00545393
+0.00618278
+0.00724559
+0.00591109
+0.00513385
+0.0051118
+0.00585531
+0.00712596
+0.00872381
+0.00922473
+0.00984902
+0.0108862
+0.0122267
+0.0137435
+0.0154222
+0.0172163
+0.0190934
+0.0203237
+0.0192184
+0.0182741
+0.0175537
+0.0170858
+0.0168912
+0.0169422
+0.0172559
+0.0178351
+0.0186552
+0.019686
+0.0208567
+0.0221765
+0.0236261
+0.025183
+0.0264083
+0.0276886
+0.0290779
+0.030561
+0.0321043
+0.0319566
+0.030359
+0.0288393
+0.0274107
+0.026088
+0.0248881
+0.0238296
+0.0229321
+0.0222113
+0.0216835
+0.0213357
+0.0211978
+0.021243
+0.0215111
+0.021955
+0.0225995
+0.0234214
+0.0478614
+0.0473735
+0.0469643
+0.0466546
+0.0464462
+0.0463406
+0.0463383
+0.0464396
+0.0466436
+0.0469491
+0.0473541
+0.047856
+0.0484363
+0.049104
+0.049859
+0.0506976
+0.0516156
+0.0526088
+0.0536731
+0.0519751
+0.0498565
+0.0477444
+0.0456396
+0.0435434
+0.0414569
+0.0393818
+0.0373199
+0.0352734
+0.0332454
+0.0312394
+0.0292598
+0.0273125
+0.0254049
+0.0235462
+0.0217318
+0.01999
+0.0183446
+0.0168225
+0.0154616
+0.0143082
+0.0133739
+0.0119125
+0.0103276
+0.00899584
+0.00794307
+0.00740147
+0.00743015
+0.00801497
+0.00887597
+0.00778459
+0.00721216
+0.00718705
+0.00777225
+0.00878289
+0.0101603
+0.0106771
+0.0112209
+0.0121414
+0.0133611
+0.0148061
+0.0163893
+0.0180877
+0.0198827
+0.0207239
+0.0196553
+0.0187539
+0.0180528
+0.0175981
+0.0174092
+0.0174587
+0.0177633
+0.0183265
+0.0191255
+0.0201322
+0.0212785
+0.0225737
+0.0239993
+0.0255334
+0.0270532
+0.0283044
+0.0296648
+0.03112
+0.0326369
+0.0329737
+0.0314278
+0.0299624
+0.0285899
+0.0273244
+0.0261812
+0.0251772
+0.0243294
+0.0236469
+0.0231501
+0.022815
+0.0226847
+0.0227269
+0.0229789
+0.0234039
+0.0240124
+0.0247911
+0.0499887
+0.0495178
+0.0491265
+0.0488305
+0.0486314
+0.0485305
+0.0485284
+0.0486251
+0.04882
+0.049112
+0.0494992
+0.0499796
+0.0505401
+0.0511804
+0.0519052
+0.0527113
+0.0535947
+0.054552
+0.0545053
+0.0523974
+0.0502966
+0.0482037
+0.04612
+0.0440466
+0.0419852
+0.0399375
+0.0379058
+0.0358928
+0.0339018
+0.0319371
+0.0300036
+0.0281079
+0.0262581
+0.0244642
+0.0227225
+0.0210614
+0.0195052
+0.0180809
+0.0168222
+0.015751
+0.0148828
+0.0133345
+0.0119399
+0.0107608
+0.0098937
+0.00946439
+0.00948691
+0.00995159
+0.010679
+0.00979067
+0.00934198
+0.00931532
+0.00977391
+0.0106347
+0.0117979
+0.0123493
+0.0128224
+0.0136352
+0.0147317
+0.0160538
+0.017541
+0.019142
+0.0208505
+0.0213393
+0.0203031
+0.0194592
+0.018792
+0.0183556
+0.0181747
+0.0182256
+0.0185176
+0.0190585
+0.019828
+0.0207951
+0.0219021
+0.0231638
+0.0245565
+0.0260592
+0.0276539
+0.0290726
+0.0303986
+0.0318203
+0.0333053
+0.0341013
+0.0326089
+0.0311991
+0.0298834
+0.028675
+0.0275879
+0.0266369
+0.0258335
+0.0251914
+0.0247157
+0.0244016
+0.0242785
+0.0243179
+0.0245536
+0.0249611
+0.0255326
+0.0262724
+0.0521213
+0.051666
+0.0512911
+0.0510076
+0.0508171
+0.0507206
+0.0507185
+0.0508111
+0.0509976
+0.0512772
+0.0516482
+0.0521088
+0.052651
+0.0532659
+0.0539628
+0.0547385
+0.0555898
+0.0565132
+0.0549955
+0.0529071
+0.0508274
+0.0487573
+0.0466983
+0.0446518
+0.0426196
+0.0406039
+0.0386073
+0.0366329
+0.0346844
+0.0327666
+0.0308851
+0.029047
+0.027261
+0.0255361
+0.0238698
+0.0222943
+0.0208304
+0.0195031
+0.0183395
+0.0173288
+0.0163686
+0.0149361
+0.0136993
+0.0126564
+0.011928
+0.0115744
+0.0115928
+0.011976
+0.0126054
+0.0118622
+0.0114947
+0.0114671
+0.0118427
+0.0125925
+0.0135922
+0.0141636
+0.0145779
+0.0152977
+0.0162827
+0.0174879
+0.0188624
+0.0203597
+0.0219738
+0.0221551
+0.0211589
+0.0203415
+0.019704
+0.0192882
+0.0191161
+0.0191901
+0.0194677
+0.0199829
+0.0207181
+0.0216344
+0.0227175
+0.0239363
+0.0252865
+0.0267481
+0.028304
+0.0299395
+0.031269
+0.0326528
+0.0341016
+0.0353289
+0.0338906
+0.0325364
+0.031277
+0.0301246
+0.0290917
+0.0281915
+0.0274298
+0.026826
+0.02637
+0.0260759
+0.0259594
+0.0259963
+0.0262168
+0.0266077
+0.0271445
+0.0278438
+0.0542585
+0.0538176
+0.0534578
+0.0531859
+0.0530032
+0.0529107
+0.0529087
+0.0529974
+0.0531763
+0.0534444
+0.0538005
+0.0542428
+0.0547682
+0.0553596
+0.0560304
+0.0567779
+0.057599
+0.057643
+0.0555678
+0.0535018
+0.051446
+0.0494019
+0.0473709
+0.0453548
+0.0433555
+0.0413757
+0.0394182
+0.0374865
+0.0355849
+0.0337183
+0.031893
+0.0301164
+0.0283886
+0.0267205
+0.0251328
+0.0236417
+0.0222665
+0.02103
+0.0199444
+0.0190185
+0.0179668
+0.0166721
+0.0155461
+0.0146347
+0.0140095
+0.0137097
+0.0137252
+0.0140504
+0.0146065
+0.0139702
+0.0136595
+0.0136313
+0.0139487
+0.0145918
+0.0154888
+0.0160719
+0.0164382
+0.0170798
+0.0179673
+0.0190664
+0.0203344
+0.0217306
+0.0232497
+0.0231502
+0.0221908
+0.0214122
+0.0208075
+0.0204143
+0.0202517
+0.0203216
+0.0205839
+0.0210718
+0.0217703
+0.022644
+0.0236864
+0.0248776
+0.0261799
+0.0275942
+0.0291049
+0.0306978
+0.0322649
+0.0336077
+0.035017
+0.0362762
+0.035262
+0.0339624
+0.032758
+0.0316595
+0.0306783
+0.0298226
+0.0291037
+0.0285352
+0.0280978
+0.0278219
+0.0277116
+0.0277462
+0.0279529
+0.0283273
+0.0288329
+0.0294922
+0.0563998
+0.0559723
+0.0556264
+0.0553652
+0.0551897
+0.0551008
+0.0550989
+0.0551841
+0.0553559
+0.0556136
+0.0559559
+0.0563812
+0.0568879
+0.0574605
+0.0581071
+0.0588282
+0.0596211
+0.0582717
+0.0562197
+0.0541785
+0.0521495
+0.050134
+0.0481339
+0.0461511
+0.044188
+0.0422472
+0.040332
+0.0384462
+0.0365945
+0.0347821
+0.0330146
+0.0312868
+0.0296199
+0.0280252
+0.0265157
+0.0251069
+0.0238165
+0.022656
+0.0216516
+0.0208019
+0.0196794
+0.018502
+0.017472
+0.0166662
+0.01612
+0.0158601
+0.0158735
+0.0161556
+0.0166554
+0.0161003
+0.0158295
+0.0158028
+0.0160774
+0.0166384
+0.0174541
+0.0180446
+0.0183716
+0.0189478
+0.0197516
+0.0207564
+0.0219269
+0.0232275
+0.0246545
+0.0242957
+0.0233824
+0.0226447
+0.0220739
+0.0217036
+0.0215507
+0.0216164
+0.0218632
+0.0223232
+0.0229837
+0.0238129
+0.0248062
+0.0259468
+0.0272163
+0.0285836
+0.0300423
+0.0315765
+0.0331846
+0.0346749
+0.0360425
+0.0372919
+0.0367129
+0.0354666
+0.034315
+0.0332679
+0.0323353
+0.0315216
+0.0308423
+0.0303021
+0.0298864
+0.0296272
+0.0295225
+0.0295549
+0.0297491
+0.0301019
+0.0305851
+0.0312074
+0.0585427
+0.0581296
+0.0577967
+0.0575453
+0.0573765
+0.057291
+0.0572892
+0.0573711
+0.0575364
+0.0577843
+0.0581138
+0.0585235
+0.0590118
+0.0595679
+0.0601918
+0.0608882
+0.0610131
+0.0589751
+0.0569484
+0.0549343
+0.0529343
+0.0509499
+0.0489831
+0.0470361
+0.0451115
+0.0432122
+0.0413417
+0.0395042
+0.0377044
+0.0359406
+0.03422
+0.0325559
+0.0309574
+0.0294353
+0.0280019
+0.0266717
+0.0254558
+0.0243701
+0.0234394
+0.0226568
+0.021479
+0.0203853
+0.0194539
+0.0187336
+0.0182493
+0.0180202
+0.0180321
+0.0182808
+0.0187364
+0.0182447
+0.0180024
+0.017979
+0.0182208
+0.0187176
+0.0194499
+0.0200625
+0.0203571
+0.0208786
+0.0216107
+0.0225327
+0.0236154
+0.0248277
+0.0261676
+0.025577
+0.0247111
+0.0240143
+0.0234755
+0.0231276
+0.0229843
+0.0230472
+0.0232788
+0.0237113
+0.0243341
+0.0251189
+0.0260624
+0.0271503
+0.028366
+0.02969
+0.0310876
+0.0325727
+0.0341338
+0.03576
+0.037169
+0.0384059
+0.0382344
+0.0370393
+0.0359381
+0.0349397
+0.0340499
+0.0332781
+0.0326354
+0.0321173
+0.0317254
+0.0314813
+0.0313818
+0.0314123
+0.0315951
+0.0319275
+0.0323907
+0.032979
+0.0606878
+0.0602894
+0.0599684
+0.0597262
+0.0595635
+0.0594812
+0.0594795
+0.0595584
+0.0597176
+0.0599565
+0.0602741
+0.0606693
+0.0611404
+0.0616811
+0.0622838
+0.0629571
+0.061763
+0.0597506
+0.0577511
+0.055766
+0.0537969
+0.0518455
+0.0499141
+0.0480048
+0.0461206
+0.0442647
+0.0424406
+0.0406519
+0.0388931
+0.03718
+0.0355194
+0.0339191
+0.032388
+0.0309364
+0.0295758
+0.0283178
+0.02717
+0.0261556
+0.0252906
+0.0244839
+0.0233443
+0.0223236
+0.0214765
+0.0208262
+0.0203917
+0.0201869
+0.0201975
+0.0204199
+0.0208399
+0.0203989
+0.0201792
+0.0201583
+0.0203743
+0.0208198
+0.0214805
+0.0221132
+0.0223806
+0.0228558
+0.0235261
+0.0243755
+0.0253807
+0.0265124
+0.0277712
+0.0269756
+0.026156
+0.0254912
+0.0249799
+0.0246533
+0.0245188
+0.0245796
+0.0248024
+0.0252088
+0.0257955
+0.0265416
+0.0274363
+0.0284717
+0.0296332
+0.0309021
+0.0322481
+0.033682
+0.035194
+0.0367733
+0.0383875
+0.0396088
+0.0398183
+0.0386721
+0.0376188
+0.0366657
+0.0358164
+0.0350836
+0.0344745
+0.0339769
+0.0336066
+0.0333763
+0.0332814
+0.0333102
+0.0334827
+0.0337965
+0.0342413
+0.0347983
+0.062836
+0.0624513
+0.0621415
+0.0619078
+0.0617509
+0.0616714
+0.0616698
+0.0617459
+0.0618995
+0.06213
+0.0624366
+0.0628181
+0.0632732
+0.0637995
+0.0643824
+0.0645792
+0.0625806
+0.0605953
+0.0586247
+0.0566702
+0.0547336
+0.0528169
+0.0509223
+0.0490523
+0.04721
+0.0453985
+0.0436156
+0.0418665
+0.0401608
+0.0385042
+0.0369033
+0.0353656
+0.0338999
+0.0325158
+0.0312242
+0.0300285
+0.0289485
+0.0279986
+0.0271923
+0.0263198
+0.0252474
+0.0243049
+0.0235292
+0.0229372
+0.0225434
+0.0223583
+0.0223679
+0.0225689
+0.0229597
+0.0225602
+0.0223587
+0.0223398
+0.0225349
+0.0229385
+0.0235398
+0.024178
+0.0244223
+0.024858
+0.0254753
+0.0262613
+0.0272015
+0.0282666
+0.029386
+0.0284742
+0.027699
+0.0270609
+0.0265798
+0.0262731
+0.026147
+0.0262041
+0.0264168
+0.0267988
+0.0273514
+0.0280634
+0.028911
+0.0298955
+0.0310037
+0.032207
+0.0335104
+0.0348938
+0.0363554
+0.0378863
+0.0394662
+0.0408912
+0.0414574
+0.0403579
+0.0393497
+0.0384369
+0.0376276
+0.0369307
+0.0363522
+0.0358738
+0.0355233
+0.0353055
+0.0352149
+0.0352422
+0.0354052
+0.0357021
+0.0361291
+0.0366582
+0.064987
+0.0646152
+0.0643158
+0.06409
+0.0639384
+0.0638617
+0.0638601
+0.0639336
+0.064082
+0.0643047
+0.0646009
+0.0649697
+0.0654099
+0.0659199
+0.0664869
+0.065435
+0.0634634
+0.0615066
+0.0595661
+0.0576436
+0.0557408
+0.0538599
+0.0520033
+0.0501736
+0.0483731
+0.0465967
+0.0448569
+0.0431582
+0.0415055
+0.0399048
+0.0383623
+0.0368856
+0.0354827
+0.0341628
+0.0329303
+0.031798
+0.0307803
+0.0298886
+0.0291301
+0.0282058
+0.0271921
+0.0263193
+0.0256047
+0.0250618
+0.0247019
+0.0245331
+0.0245418
+0.0247252
+0.0250917
+0.0247267
+0.0245402
+0.024523
+0.0247008
+0.0250696
+0.0256209
+0.0262606
+0.0264857
+0.026888
+0.0274597
+0.0281904
+0.0290683
+0.0300781
+0.0309192
+0.0300541
+0.0293221
+0.0287121
+0.0282591
+0.0279708
+0.0278524
+0.027906
+0.0281094
+0.0284686
+0.0289894
+0.0296633
+0.030472
+0.0314075
+0.0324528
+0.0336042
+0.0348554
+0.036196
+0.0376086
+0.0390904
+0.0406235
+0.0422141
+0.0431456
+0.0420902
+0.0411238
+0.0402494
+0.0394773
+0.0388136
+0.0382577
+0.0378025
+0.0374701
+0.0372637
+0.037177
+0.0372027
+0.0373572
+0.0376387
+0.0380445
+0.0385529
+0.0671406
+0.0667808
+0.0664912
+0.0662727
+0.0661262
+0.066052
+0.0660505
+0.0661216
+0.066265
+0.0664804
+0.066767
+0.0671239
+0.06755
+0.068044
+0.0683106
+0.0663521
+0.0644086
+0.0624814
+0.0605721
+0.0586826
+0.0568146
+0.0549705
+0.0531527
+0.0513585
+0.0495922
+0.047861
+0.0461688
+0.0445201
+0.04292
+0.041374
+0.0398884
+0.0384703
+0.0371274
+0.035865
+0.0346902
+0.0336173
+0.0326562
+0.0318172
+0.031098
+0.0301213
+0.0291717
+0.0283599
+0.027698
+0.0271969
+0.0268657
+0.0267106
+0.0267185
+0.026887
+0.0272271
+0.0268971
+0.0267232
+0.0267074
+0.0268708
+0.0272101
+0.027719
+0.0283595
+0.0285681
+0.0289414
+0.0294733
+0.0301553
+0.0309775
+0.0319292
+0.032512
+0.0316904
+0.0310021
+0.0304315
+0.0300045
+0.0297331
+0.0296217
+0.0296721
+0.0298668
+0.0302051
+0.0306965
+0.0313336
+0.0321067
+0.032989
+0.0339814
+0.0350827
+0.0362829
+0.0375726
+0.038943
+0.0403776
+0.0418635
+0.0434087
+0.0446849
+0.0438635
+0.0429347
+0.0420978
+0.0413602
+0.0407273
+0.0401914
+0.0397584
+0.0394424
+0.0392464
+0.0391632
+0.0391877
+0.0393344
+0.0396019
+0.0399877
+0.0404775
+0.0692966
+0.068948
+0.0686675
+0.068456
+0.0683142
+0.0682424
+0.0682409
+0.0683097
+0.0684485
+0.0686571
+0.0689346
+0.0692804
+0.0696933
+0.0701722
+0.0692589
+0.067328
+0.0654135
+0.0635168
+0.0616396
+0.0597838
+0.0579514
+0.0561437
+0.0543564
+0.0525995
+0.0508763
+0.0491903
+0.0475455
+0.0459463
+0.0443975
+0.0429048
+0.0414741
+0.0401121
+0.0388251
+0.0376152
+0.0364968
+0.0354785
+0.0345693
+0.0337778
+0.033078
+0.0320697
+0.0311796
+0.0304214
+0.0298053
+0.0293403
+0.0290335
+0.02889
+0.0288974
+0.0290532
+0.0293682
+0.0290705
+0.0289073
+0.0288927
+0.0290438
+0.0293581
+0.0298303
+0.0304532
+0.0306655
+0.0310136
+0.0315105
+0.0321494
+0.0329218
+0.0338188
+0.034171
+0.0333903
+0.0327377
+0.0322081
+0.031805
+0.0315491
+0.0314442
+0.0314916
+0.031676
+0.0319952
+0.0324595
+0.0330626
+0.0337973
+0.0346327
+0.0355793
+0.0366325
+0.0377836
+0.0390237
+0.0403448
+0.0417391
+0.0431791
+0.0446789
+0.0461385
+0.0456723
+0.0447795
+0.0439778
+0.0432722
+0.0426676
+0.0421503
+0.0417376
+0.0414368
+0.0412502
+0.0411703
+0.0411936
+0.0413331
+0.0415877
+0.0419553
+0.042428
+0.0714546
+0.0711166
+0.0708447
+0.0706397
+0.0705023
+0.0704327
+0.0704313
+0.0704979
+0.0706325
+0.0708346
+0.0711036
+0.0714389
+0.0718394
+0.0721816
+0.0702627
+0.0683602
+0.0664754
+0.0646099
+0.0627655
+0.0609439
+0.0591426
+0.057365
+0.0556168
+0.053901
+0.0522208
+0.0505796
+0.0489815
+0.0474307
+0.0459321
+0.0444909
+0.0431128
+0.0418042
+0.0405659
+0.0394095
+0.0383434
+0.0373755
+0.0365135
+0.0357592
+0.035002
+0.0340477
+0.0332106
+0.0324998
+0.0319238
+0.0314901
+0.0312044
+0.031071
+0.0310778
+0.0312228
+0.0315161
+0.0312463
+0.0310924
+0.0310788
+0.0312193
+0.0315119
+0.0319523
+0.0325346
+0.0327752
+0.0331011
+0.0335671
+0.0341675
+0.0348953
+0.0357428
+0.0358872
+0.0351445
+0.0345252
+0.0340327
+0.0336518
+0.0334101
+0.033311
+0.0333535
+0.033515
+0.0338168
+0.0342564
+0.0348285
+0.0355267
+0.0363342
+0.0372375
+0.0382451
+0.039349
+0.0405413
+0.0418145
+0.0431613
+0.0445636
+0.0460183
+0.0475295
+0.0475118
+0.0466542
+0.0458852
+0.0452095
+0.0446292
+0.044131
+0.043737
+0.04345
+0.0432721
+0.0431951
+0.0432173
+0.0433504
+0.0435932
+0.0439441
+0.0444
+0.0736146
+0.0732865
+0.0730227
+0.0728239
+0.0726906
+0.0726231
+0.0726217
+0.0726863
+0.0728169
+0.0730129
+0.073274
+0.0735993
+0.0739881
+0.0732109
+0.0713198
+0.0694462
+0.0675917
+0.0657579
+0.0639457
+0.0621511
+0.0603826
+0.0586426
+0.0569337
+0.0552588
+0.0536211
+0.0520242
+0.0504718
+0.0489682
+0.0475181
+0.0461264
+0.0447987
+0.0435371
+0.0423485
+0.041242
+0.0402246
+0.039303
+0.0384842
+0.0377629
+0.0369529
+0.0360502
+0.0352607
+0.0345921
+0.0340515
+0.0336452
+0.033378
+0.0332533
+0.0332597
+0.0333952
+0.0336696
+0.0334241
+0.0332782
+0.0332655
+0.0333968
+0.0336705
+0.034083
+0.0346295
+0.0348948
+0.0352011
+0.0356397
+0.0362057
+0.0368934
+0.0376959
+0.0376526
+0.0369455
+0.0363568
+0.0358868
+0.0355254
+0.0352965
+0.0352027
+0.0352419
+0.0353938
+0.0356798
+0.0360967
+0.03664
+0.0373043
+0.0380832
+0.0389484
+0.0399128
+0.0409718
+0.0421182
+0.0433451
+0.0446458
+0.0460108
+0.0474211
+0.048889
+0.04938
+0.0485554
+0.047817
+0.0471689
+0.0466075
+0.0461307
+0.0457539
+0.0454796
+0.0453097
+0.0452355
+0.0452567
+0.0453837
+0.0456157
+0.0459512
+0.0463877
+0.0757763
+0.0754577
+0.0752015
+0.0750084
+0.074879
+0.0748135
+0.0748121
+0.0748749
+0.0750016
+0.075192
+0.0754455
+0.0757615
+0.0761393
+0.0742906
+0.0724277
+0.0705835
+0.0687597
+0.0669535
+0.065168
+0.063408
+0.0616755
+0.059973
+0.0583031
+0.0566687
+0.055073
+0.0535194
+0.0520116
+0.0505539
+0.0491506
+0.0478065
+0.0465248
+0.0453087
+0.0441678
+0.043108
+0.0421357
+0.0412568
+0.0404765
+0.0397864
+0.0389293
+0.0380735
+0.0373268
+0.0366958
+0.0361867
+0.0358046
+0.0355537
+0.0354366
+0.0354426
+0.0355698
+0.0358275
+0.0356035
+0.0354646
+0.0354527
+0.035576
+0.035833
+0.0362209
+0.0367356
+0.0370227
+0.0373116
+0.0377256
+0.0382608
+0.0389121
+0.0396739
+0.0394606
+0.0387865
+0.0382262
+0.0377736
+0.0374305
+0.0372133
+0.0371244
+0.0371626
+0.0373067
+0.0375781
+0.0379742
+0.038491
+0.0391239
+0.0398673
+0.0407053
+0.041629
+0.0426454
+0.043748
+0.0449304
+0.0461864
+0.0475067
+0.048874
+0.0502996
+0.0512737
+0.05048
+0.0497702
+0.0491479
+0.048604
+0.048147
+0.0477861
+0.0475235
+0.047361
+0.0472893
+0.0473096
+0.0474311
+0.0476532
+0.0479743
+0.0483926
+0.0779397
+0.0776299
+0.0773809
+0.0771933
+0.0770675
+0.0770039
+0.0770026
+0.0770635
+0.0771867
+0.0773716
+0.077618
+0.0779253
+0.0772715
+0.0754185
+0.0735841
+0.0717688
+0.0699691
+0.0681922
+0.06644
+0.0647146
+0.063018
+0.0613528
+0.0597215
+0.058127
+0.0565725
+0.0550612
+0.0535968
+0.0521833
+0.050825
+0.0495261
+0.0482862
+0.0471155
+0.0460194
+0.0450033
+0.0440728
+0.0432333
+0.0424836
+0.0418267
+0.0409275
+0.0401143
+0.0394063
+0.0388092
+0.0383282
+0.0379676
+0.037731
+0.0376207
+0.0376264
+0.0377463
+0.0379892
+0.0377841
+0.0376515
+0.0376403
+0.0377564
+0.0379987
+0.0383647
+0.038851
+0.0391576
+0.0394308
+0.0398228
+0.0403302
+0.0409486
+0.0416731
+0.0413058
+0.0406622
+0.0401281
+0.0396917
+0.0393653
+0.0391588
+0.0390743
+0.0391117
+0.0392486
+0.0395067
+0.0398836
+0.040376
+0.0409798
+0.0416901
+0.0424998
+0.0433859
+0.0443621
+0.045423
+0.0465629
+0.0477761
+0.049044
+0.0503697
+0.0517541
+0.053186
+0.0524213
+0.0517381
+0.0511398
+0.0506166
+0.0501779
+0.0498317
+0.04958
+0.0494242
+0.0493548
+0.0493743
+0.0494907
+0.0497036
+0.0500116
+0.050413
+0.0801045
+0.0798031
+0.0795609
+0.0793785
+0.0792562
+0.0791943
+0.079193
+0.0792523
+0.0793721
+0.079552
+0.0797916
+0.0800905
+0.0784177
+0.0765925
+0.0747828
+0.0729916
+0.0712228
+0.0694779
+0.067759
+0.066068
+0.0644071
+0.0627788
+0.0611855
+0.0596302
+0.0581158
+0.0566457
+0.0552234
+0.0538527
+0.0525375
+0.051278
+0.0500814
+0.0489537
+0.0478997
+0.0469243
+0.0460327
+0.0452296
+0.0445081
+0.0438147
+0.0429445
+0.0421702
+0.0414973
+0.0409307
+0.0404749
+0.0401336
+0.0399099
+0.0398056
+0.039811
+0.0399243
+0.0401541
+0.0399659
+0.0398389
+0.0398283
+0.039938
+0.0401671
+0.0405135
+0.0409743
+0.0412983
+0.0415574
+0.0419295
+0.0424117
+0.0430002
+0.0436908
+0.0431832
+0.0425681
+0.0420581
+0.0416367
+0.0413256
+0.0411291
+0.0410486
+0.041085
+0.0412155
+0.0414613
+0.0418206
+0.0422905
+0.0428673
+0.0435468
+0.04432
+0.0451723
+0.0461107
+0.0471323
+0.0482318
+0.049404
+0.0506295
+0.0519147
+0.053259
+0.054658
+0.0543795
+0.0537212
+0.0531452
+0.0526434
+0.0522217
+0.0518892
+0.0516475
+0.0514979
+0.0514308
+0.0514494
+0.0515612
+0.0517655
+0.0520613
+0.052447
+0.0822707
+0.0819773
+0.0817415
+0.081564
+0.081445
+0.0813848
+0.0813835
+0.0814412
+0.0815577
+0.0817328
+0.0819661
+0.0814243
+0.0796069
+0.0778034
+0.0760202
+0.0742589
+0.0725209
+0.0708081
+0.0691223
+0.0674654
+0.0658398
+0.0642478
+0.0626919
+0.0611749
+0.0596997
+0.0582696
+0.0568879
+0.0555582
+0.0542817
+0.0530624
+0.051907
+0.0508199
+0.0498054
+0.0488681
+0.0480125
+0.0472406
+0.0465476
+0.0458093
+0.0449777
+0.044239
+0.0435981
+0.0430591
+0.0426261
+0.0423022
+0.04209
+0.0419911
+0.0419962
+0.0421036
+0.0423216
+0.0421486
+0.0420265
+0.0420165
+0.0421205
+0.0423378
+0.0426666
+0.0431044
+0.0434439
+0.0436903
+0.0440444
+0.0445037
+0.0450649
+0.0457243
+0.0450889
+0.0445001
+0.0440091
+0.043605
+0.0433081
+0.0431205
+0.0430438
+0.0430785
+0.0432039
+0.0434385
+0.0437816
+0.0442306
+0.0447824
+0.0454333
+0.0461724
+0.0469926
+0.0478956
+0.0488799
+0.0499409
+0.0510739
+0.0522588
+0.0535048
+0.0548101
+0.0561705
+0.0563548
+0.0557199
+0.0551647
+0.0546827
+0.0542769
+0.053957
+0.0537246
+0.0535808
+0.0535158
+0.0535337
+0.0536412
+0.0538376
+0.0541221
+0.0544932
+0.0908339
+0.0895039
+0.0881895
+0.0869104
+0.0856483
+0.0843316
+0.0830325
+0.0817715
+0.0805504
+0.0793669
+0.078136
+0.0769478
+0.0758014
+0.0746923
+0.0736317
+0.0725644
+0.071416
+0.070049
+0.0687237
+0.0674435
+0.0662111
+0.0650291
+0.0639004
+0.0628278
+0.0618142
+0.0608627
+0.0599761
+0.0591574
+0.0584095
+0.057735
+0.0571366
+0.0566167
+0.0561774
+0.0558125
+0.0555232
+0.0553193
+0.0552016
+0.0551707
+0.0552268
+0.0551544
+0.0550189
+0.0549496
+0.05482
+0.0547215
+0.0546888
+0.0547316
+0.0548532
+0.0550088
+0.0552452
+0.0555046
+0.0558219
+0.0562121
+0.0566703
+0.0571982
+0.0577964
+0.0584707
+0.0592183
+0.0600185
+0.060874
+0.0598029
+0.0586918
+0.0576425
+0.0566585
+0.0557433
+0.0549003
+0.0541328
+0.0534442
+0.0528375
+0.0523156
+0.051881
+0.051536
+0.0512823
+0.0511213
+0.0510538
+0.0510804
+0.0511878
+0.0513833
+0.051671
+0.0520493
+0.0525164
+0.0530699
+0.0536915
+0.0543927
+0.0551069
+0.0558957
+0.056758
+0.0576908
+0.0586905
+0.0597456
+0.0608235
+0.0619303
+0.0630937
+0.0642729
+0.0654847
+0.0667328
+0.0680282
+0.0693686
+0.0707514
+0.0721615
+0.0736081
+0.0892129
+0.0878714
+0.0865493
+0.0852457
+0.0839786
+0.0827181
+0.081402
+0.0801154
+0.0788686
+0.0776636
+0.0764786
+0.0752642
+0.0740947
+0.072965
+0.0718789
+0.0708432
+0.0697761
+0.0687195
+0.0673681
+0.0660616
+0.0648029
+0.0635947
+0.0624401
+0.0613419
+0.0603034
+0.0593277
+0.0584178
+0.057577
+0.0568082
+0.0561145
+0.0554986
+0.0549632
+0.0545106
+0.0541345
+0.0538362
+0.0536258
+0.0535044
+0.0534725
+0.0535164
+0.0532992
+0.0531715
+0.053099
+0.0530211
+0.0529192
+0.0528982
+0.0529425
+0.0530772
+0.0532607
+0.0535047
+0.0538169
+0.0541493
+0.0545497
+0.0550184
+0.0555696
+0.0561863
+0.0568796
+0.0576426
+0.0584613
+0.0593393
+0.05824
+0.0570984
+0.0560193
+0.0550063
+0.0540631
+0.0531934
+0.052401
+0.0516894
+0.0510618
+0.0505216
+0.0500714
+0.0497138
+0.0494508
+0.0492838
+0.0492138
+0.0492413
+0.0493511
+0.0495538
+0.049852
+0.0502441
+0.0507278
+0.0512964
+0.0519375
+0.0526252
+0.0533607
+0.0541749
+0.0550643
+0.0560252
+0.0570541
+0.0581093
+0.0591857
+0.0603225
+0.0614684
+0.0626522
+0.0638821
+0.0651605
+0.0664865
+0.0678573
+0.0692586
+0.0706961
+0.0721009
+0.0876155
+0.0862492
+0.0849173
+0.0836052
+0.0823132
+0.081057
+0.0797959
+0.0784829
+0.0772098
+0.0759785
+0.0747911
+0.0736073
+0.0724111
+0.0712621
+0.0701508
+0.0690899
+0.0680565
+0.0670149
+0.0660111
+0.0647243
+0.0634391
+0.0622044
+0.0610235
+0.0598994
+0.0588354
+0.0578349
+0.0569012
+0.0560376
+0.0552474
+0.0545338
+0.0538999
+0.0533484
+0.052882
+0.0524931
+0.0521855
+0.0519684
+0.0518431
+0.0518102
+0.0516952
+0.0514703
+0.051338
+0.0512751
+0.0512526
+0.0511472
+0.0511355
+0.0511845
+0.0513239
+0.051535
+0.0517984
+0.0521415
+0.0525102
+0.0529223
+0.0534053
+0.0539729
+0.0546164
+0.0553294
+0.056105
+0.0569458
+0.0578468
+0.0567186
+0.0555457
+0.0544358
+0.0533928
+0.0524206
+0.0515232
+0.0507047
+0.0499689
+0.0493195
+0.0487599
+0.0482934
+0.0479225
+0.0476495
+0.0474762
+0.0474036
+0.0474322
+0.0475444
+0.0477548
+0.0480641
+0.0484707
+0.0489719
+0.0495544
+0.0502121
+0.0508882
+0.0516485
+0.0524892
+0.0534066
+0.0543969
+0.0554353
+0.0564778
+0.0575847
+0.0586904
+0.059846
+0.0610554
+0.0623147
+0.0636246
+0.0649773
+0.0663653
+0.0677956
+0.069202
+0.0705863
+0.0860436
+0.0846519
+0.0832945
+0.0819733
+0.0806727
+0.0793934
+0.0781486
+0.0768783
+0.0755781
+0.0743198
+0.0731054
+0.0719373
+0.0707552
+0.0695789
+0.0684492
+0.0673615
+0.0663284
+0.0652978
+0.0642843
+0.0632918
+0.0621226
+0.0608612
+0.0596537
+0.0585033
+0.0574135
+0.0563877
+0.0554296
+0.0545427
+0.0537306
+0.0529966
+0.052344
+0.051776
+0.0512953
+0.0508929
+0.0505755
+0.0503515
+0.0502222
+0.0501882
+0.0499038
+0.0496708
+0.0495337
+0.0494811
+0.0494626
+0.0494089
+0.0493967
+0.0494611
+0.0496053
+0.0498335
+0.0501248
+0.0504841
+0.050906
+0.0513368
+0.0518346
+0.0524193
+0.0530816
+0.0538149
+0.054612
+0.0554754
+0.0563999
+0.0552422
+0.0540373
+0.0528958
+0.0518217
+0.0508195
+0.0498933
+0.0490476
+0.0482866
+0.0476142
+0.0470344
+0.0465505
+0.0461656
+0.0458822
+0.0457022
+0.0456268
+0.0456564
+0.0457712
+0.0459897
+0.0463109
+0.0467326
+0.0472523
+0.0478493
+0.0484876
+0.0491874
+0.0499736
+0.050842
+0.0517886
+0.0528077
+0.0538119
+0.0548791
+0.0559429
+0.05707
+0.0582563
+0.0594942
+0.060786
+0.0621162
+0.0634912
+0.064911
+0.0663172
+0.0676962
+0.0691079
+0.0844853
+0.0830817
+0.0816982
+0.0803507
+0.079041
+0.0777529
+0.0764876
+0.0752552
+0.0739753
+0.0726892
+0.0714472
+0.0702515
+0.0691046
+0.0679247
+0.0667704
+0.0656607
+0.0646004
+0.0635979
+0.062571
+0.0615809
+0.0606088
+0.0595684
+0.0583341
+0.0571571
+0.0560411
+0.0549898
+0.0540069
+0.0530962
+0.0522616
+0.0515066
+0.050835
+0.0502499
+0.0497545
+0.049338
+0.0490106
+0.0487794
+0.0486459
+0.0484848
+0.0481453
+0.0479038
+0.0477616
+0.0477133
+0.047701
+0.0477078
+0.0476811
+0.0477497
+0.0479121
+0.0481415
+0.0484675
+0.0488656
+0.0493077
+0.0497973
+0.0503103
+0.0509125
+0.0515941
+0.0523483
+0.0531674
+0.0540539
+0.0550023
+0.0538145
+0.0525769
+0.0514029
+0.050297
+0.0492638
+0.0483078
+0.0474338
+0.0466465
+0.0459501
+0.045349
+0.044847
+0.0444473
+0.0441529
+0.0439658
+0.0438874
+0.0439168
+0.0440356
+0.0442627
+0.0445963
+0.0450341
+0.0455684
+0.0461701
+0.0468021
+0.0475268
+0.0483399
+0.0492372
+0.0502141
+0.0511948
+0.0522078
+0.0532339
+0.0543289
+0.0554888
+0.0567027
+0.0579698
+0.0592791
+0.0606392
+0.0620469
+0.0634526
+0.0648184
+0.0662286
+0.0676682
+0.0829362
+0.0815317
+0.08013
+0.0787557
+0.077419
+0.0761218
+0.0748475
+0.0735967
+0.0723789
+0.0710888
+0.0698183
+0.0685942
+0.0674191
+0.0662956
+0.0651185
+0.0639885
+0.0629013
+0.0618712
+0.0608764
+0.0598735
+0.0589133
+0.0579673
+0.0570637
+0.05586
+0.0547176
+0.0536403
+0.0526322
+0.0516973
+0.0508397
+0.0500633
+0.049372
+0.0487694
+0.0482588
+0.047833
+0.0474951
+0.0472566
+0.0471187
+0.0467746
+0.0464227
+0.0461722
+0.0460246
+0.0459755
+0.0459749
+0.046012
+0.0459825
+0.0460536
+0.0462285
+0.0464796
+0.0468186
+0.0472451
+0.0477484
+0.0483002
+0.0488367
+0.0494568
+0.0501582
+0.0509337
+0.0517752
+0.0526851
+0.0536577
+0.0524151
+0.0511681
+0.0499611
+0.0488225
+0.0477574
+0.0467707
+0.0458674
+0.0450526
+0.0443313
+0.0437079
+0.0431868
+0.0427716
+0.0424656
+0.042271
+0.0421894
+0.0422187
+0.0423423
+0.0425783
+0.042925
+0.0433798
+0.0439267
+0.0445047
+0.04516
+0.0459106
+0.0467519
+0.0476791
+0.0486342
+0.0495812
+0.0505695
+0.0516281
+0.0527565
+0.0539447
+0.0551804
+0.0564693
+0.0578126
+0.0592064
+0.0606073
+0.0619584
+0.0633565
+0.0647984
+0.0662404
+0.0814166
+0.0799854
+0.0785872
+0.0771899
+0.0758255
+0.0745007
+0.0732173
+0.0719582
+0.0707209
+0.0695205
+0.0682208
+0.0669676
+0.0657635
+0.0646112
+0.0634992
+0.06234
+0.0612333
+0.0601747
+0.0591783
+0.0581898
+0.0572131
+0.0562775
+0.0553731
+0.0545166
+0.0534493
+0.0523459
+0.0513124
+0.050353
+0.0494721
+0.0486739
+0.0479626
+0.047342
+0.0468159
+0.0463826
+0.0460341
+0.0457879
+0.045527
+0.0451002
+0.0447389
+0.0444789
+0.0443257
+0.0442779
+0.0442782
+0.0443294
+0.0443271
+0.0444008
+0.0445822
+0.0448599
+0.0452143
+0.0456559
+0.046189
+0.0468099
+0.0474185
+0.0480569
+0.0487785
+0.0495756
+0.0504397
+0.0513733
+0.0523703
+0.05106
+0.0497913
+0.0485743
+0.0474029
+0.0463051
+0.0452868
+0.0443533
+0.0435102
+0.0427628
+0.0421163
+0.0415752
+0.0411438
+0.0408256
+0.0406231
+0.0405382
+0.0405678
+0.0406964
+0.0409419
+0.0413024
+0.0417726
+0.0423093
+0.0428865
+0.0435662
+0.0443438
+0.0452142
+0.0461395
+0.0470117
+0.0479574
+0.0489744
+0.0500667
+0.0512224
+0.0524256
+0.0536913
+0.0550151
+0.056393
+0.0577863
+0.0591207
+0.060505
+0.0619359
+0.0633751
+0.064845
+0.0799282
+0.0784698
+0.0770461
+0.0756505
+0.0742626
+0.0729093
+0.0715975
+0.0703294
+0.069087
+0.0678645
+0.0666571
+0.0653739
+0.0641399
+0.0629579
+0.0618309
+0.0607256
+0.059593
+0.0585111
+0.0574859
+0.056527
+0.0555442
+0.0545988
+0.053691
+0.0528251
+0.0520097
+0.0511126
+0.0500537
+0.0490697
+0.0481653
+0.0473451
+0.0466135
+0.0459748
+0.0454328
+0.0449809
+0.0446215
+0.0443674
+0.0439083
+0.0434656
+0.0431006
+0.0428307
+0.0426716
+0.0426247
+0.0426256
+0.0426726
+0.0427126
+0.0427926
+0.0429807
+0.0432731
+0.0436584
+0.0441182
+0.0446696
+0.0453204
+0.0460431
+0.0467169
+0.0474598
+0.0482787
+0.0491656
+0.0501229
+0.0511279
+0.0497645
+0.0484618
+0.0472106
+0.0460288
+0.0449128
+0.0438622
+0.0428977
+0.0420254
+0.0412511
+0.0405805
+0.0400187
+0.0395703
+0.0392393
+0.0390286
+0.0389403
+0.0389702
+0.039104
+0.0393595
+0.0397343
+0.040188
+0.040722
+0.0413212
+0.0420262
+0.0428317
+0.0437065
+0.0445096
+0.0454042
+0.0463759
+0.047419
+0.0485382
+0.0497113
+0.0509502
+0.0522517
+0.0536111
+0.0549951
+0.0563104
+0.057679
+0.0590971
+0.0605328
+0.0619927
+0.0634945
+0.0784581
+0.0769867
+0.0755351
+0.0741198
+0.0727272
+0.0713497
+0.0700087
+0.0687113
+0.0674601
+0.0662362
+0.0650302
+0.0638156
+0.0625509
+0.0613383
+0.060181
+0.0590823
+0.0579849
+0.0568819
+0.0558281
+0.0548402
+0.0538977
+0.0529382
+0.0520377
+0.0511614
+0.0503294
+0.0495697
+0.0487897
+0.0478523
+0.0469245
+0.0460822
+0.0453302
+0.0446731
+0.0441126
+0.0436362
+0.0432656
+0.0428453
+0.0423411
+0.0418818
+0.0415134
+0.041233
+0.0410678
+0.041019
+0.0410234
+0.0410524
+0.0410831
+0.0412283
+0.0414236
+0.0417331
+0.0421403
+0.0426302
+0.0432079
+0.0438804
+0.0446503
+0.0454245
+0.0462013
+0.0470436
+0.0479578
+0.0489387
+0.0499303
+0.0485333
+0.0471967
+0.045911
+0.0446948
+0.043555
+0.0424976
+0.0415067
+0.0406046
+0.0398027
+0.0391072
+0.0385239
+0.0380579
+0.0377136
+0.0374944
+0.0374024
+0.0374326
+0.0375719
+0.0378377
+0.0381958
+0.0386582
+0.0391927
+0.0398149
+0.0405461
+0.0413482
+0.0420823
+0.0429158
+0.0438305
+0.0448253
+0.0459032
+0.0470444
+0.0482524
+0.0495278
+0.0508657
+0.0522385
+0.0535319
+0.0548823
+0.0562856
+0.0577169
+0.0591651
+0.0606578
+0.0621919
+0.0769561
+0.0755229
+0.0740581
+0.072614
+0.071208
+0.069819
+0.0684531
+0.0671257
+0.0658444
+0.064612
+0.0634071
+0.0622164
+0.0609991
+0.0597551
+0.0585665
+0.057437
+0.05637
+0.0552819
+0.0542081
+0.0531902
+0.0522443
+0.0513134
+0.050388
+0.0495222
+0.0486844
+0.0478987
+0.0471774
+0.04643
+0.0456414
+0.0448907
+0.0441184
+0.043443
+0.0428527
+0.0423621
+0.0418732
+0.0413386
+0.0408313
+0.0403548
+0.0399823
+0.039692
+0.0395203
+0.0394697
+0.0394778
+0.0394501
+0.039482
+0.0396259
+0.0398523
+0.0401876
+0.0406249
+0.0411653
+0.0417779
+0.0424948
+0.0432989
+0.0441722
+0.0449999
+0.0458737
+0.0468213
+0.0478256
+0.0488017
+0.0473715
+0.0460011
+0.044681
+0.0434304
+0.0422565
+0.0411658
+0.040165
+0.0392546
+0.0384246
+0.0377036
+0.0370983
+0.0366142
+0.0362562
+0.0360281
+0.0359324
+0.0359591
+0.036104
+0.0363532
+0.0367082
+0.0371891
+0.0377286
+0.0383746
+0.0390797
+0.039735
+0.0404983
+0.04136
+0.0422995
+0.0433295
+0.0444335
+0.0456054
+0.0468505
+0.0481631
+0.0495223
+0.0507905
+0.0521198
+0.0535059
+0.0549313
+0.0563659
+0.0578479
+0.0593738
+0.0609402
+0.075411
+0.0740215
+0.0726012
+0.0711425
+0.0697081
+0.0683126
+0.0669279
+0.0655749
+0.0642627
+0.0629994
+0.0617879
+0.0606021
+0.0594239
+0.0582113
+0.0569905
+0.0558291
+0.0547308
+0.0536994
+0.0526226
+0.0515804
+0.0506045
+0.049706
+0.048779
+0.0478914
+0.0470639
+0.0462653
+0.0455432
+0.0448564
+0.0441274
+0.0434021
+0.042711
+0.0421012
+0.0415304
+0.0409558
+0.0403772
+0.0398746
+0.0393856
+0.0388914
+0.0384956
+0.0382145
+0.0380362
+0.0379835
+0.0379864
+0.0378931
+0.0379263
+0.0380699
+0.0383021
+0.0386367
+0.0390913
+0.039652
+0.0402876
+0.0410305
+0.0418638
+0.0427762
+0.0437789
+0.0447805
+0.0457524
+0.0467886
+0.0477471
+0.0462842
+0.0448807
+0.0435266
+0.0422419
+0.041034
+0.0399099
+0.0388768
+0.0379418
+0.0371074
+0.036378
+0.0357502
+0.0352476
+0.0348755
+0.0346384
+0.0345288
+0.0345409
+0.0346651
+0.0349246
+0.035294
+0.0357729
+0.0363374
+0.036932
+0.0374969
+0.0381794
+0.0389732
+0.0398546
+0.0408272
+0.0418876
+0.0430174
+0.0442269
+0.0455063
+0.0468494
+0.0480923
+0.0493971
+0.050763
+0.0521778
+0.0535997
+0.055069
+0.056585
+0.058144
+0.0597427
+0.0738985
+0.07248
+0.0711007
+0.0696947
+0.0682373
+0.0668176
+0.0654316
+0.0640561
+0.0627177
+0.0614226
+0.0601794
+0.0589914
+0.0578177
+0.0566632
+0.0554563
+0.0542621
+0.0531313
+0.0520683
+0.051077
+0.0500135
+0.0490077
+0.0480794
+0.0472094
+0.0462917
+0.0454612
+0.0446796
+0.0439315
+0.043243
+0.0425374
+0.041872
+0.0412476
+0.0406159
+0.0400819
+0.0395237
+0.038947
+0.0384602
+0.0379916
+0.0374935
+0.0370786
+0.0367897
+0.0366198
+0.0365651
+0.0364986
+0.0364014
+0.036436
+0.0365691
+0.0368022
+0.0371503
+0.0376229
+0.0381931
+0.0388527
+0.0396227
+0.0404736
+0.0414162
+0.042451
+0.0435606
+0.0447468
+0.045833
+0.0467713
+0.0452769
+0.0438411
+0.0424539
+0.0411357
+0.0398943
+0.0387372
+0.0376719
+0.0367067
+0.0358472
+0.0350999
+0.0344599
+0.0339382
+0.0335517
+0.0333051
+0.0331941
+0.033179
+0.0333083
+0.0335725
+0.0339566
+0.034422
+0.0349272
+0.0353887
+0.0359779
+0.0366881
+0.0374862
+0.0383928
+0.0393967
+0.0404776
+0.0416457
+0.042894
+0.0442093
+0.0454452
+0.0467212
+0.0480633
+0.0494575
+0.0508717
+0.0523259
+0.05383
+0.0553799
+0.0569719
+0.0585921
+0.0724119
+0.0709727
+0.0695636
+0.0681956
+0.0668006
+0.0653498
+0.063941
+0.0625678
+0.0612063
+0.0598844
+0.0586086
+0.0573881
+0.0562264
+0.0550641
+0.0539236
+0.0527395
+0.0515754
+0.0504795
+0.0494565
+0.0484839
+0.0474584
+0.0464991
+0.0456236
+0.0447422
+0.0438823
+0.043114
+0.0423717
+0.0416341
+0.0409007
+0.0402553
+0.039664
+0.0391301
+0.0386512
+0.0381248
+0.03759
+0.0370884
+0.0366521
+0.0361702
+0.0357399
+0.0354401
+0.0352637
+0.0352069
+0.0350668
+0.0349834
+0.0350117
+0.0351319
+0.0353745
+0.0357364
+0.0362274
+0.0367941
+0.0374784
+0.038276
+0.0391561
+0.0401268
+0.0411792
+0.0423072
+0.0435057
+0.0447793
+0.0458794
+0.044355
+0.0428884
+0.0414693
+0.0401188
+0.0388449
+0.0376555
+0.0365588
+0.0355633
+0.0346778
+0.0339068
+0.0332394
+0.0326982
+0.0322968
+0.0320406
+0.0319157
+0.0319
+0.0320344
+0.0322968
+0.0326776
+0.0330482
+0.03342
+0.0339168
+0.0345189
+0.03523
+0.0360604
+0.0369955
+0.0380184
+0.0391374
+0.0403443
+0.0416316
+0.0428585
+0.0441006
+0.0454145
+0.0467843
+0.0481885
+0.0496246
+0.0511143
+0.052653
+0.0542366
+0.0558548
+0.0574965
+0.0708906
+0.0694905
+0.0680617
+0.0666635
+0.0653083
+0.0639233
+0.0624824
+0.0610861
+0.0597274
+0.0583797
+0.0570752
+0.0558206
+0.054625
+0.0534849
+0.0523491
+0.0512168
+0.0500669
+0.0489373
+0.0478814
+0.046904
+0.0459535
+0.0449701
+0.0440642
+0.0432271
+0.0423579
+0.0415261
+0.0407659
+0.0400288
+0.0393179
+0.0386648
+0.0380828
+0.0375739
+0.0370948
+0.036662
+0.0361765
+0.035601
+0.0351284
+0.0347875
+0.0344885
+0.0341777
+0.0339947
+0.0338724
+0.0336529
+0.0335751
+0.0336097
+0.0337619
+0.0340279
+0.034404
+0.0348883
+0.0354725
+0.0361598
+0.0369633
+0.0378639
+0.0388541
+0.0399401
+0.0410935
+0.0423264
+0.0436344
+0.0450111
+0.043524
+0.0420283
+0.0405792
+0.039198
+0.0378932
+0.0366729
+0.0355459
+0.0345212
+0.0336083
+0.0328165
+0.032122
+0.0315617
+0.0311457
+0.0308745
+0.0307325
+0.0307171
+0.0308567
+0.0310762
+0.031213
+0.0314837
+0.0319028
+0.0324451
+0.0330867
+0.0338467
+0.0347048
+0.035659
+0.0367023
+0.0378273
+0.0390272
+0.0403099
+0.0415275
+0.0428083
+0.0441606
+0.0455576
+0.0469724
+0.0484445
+0.0499694
+0.0515423
+0.0531572
+0.0547921
+0.0564084
+0.0693932
+0.0679748
+0.066585
+0.0651671
+0.063782
+0.0624412
+0.0610676
+0.0596381
+0.0582561
+0.0569117
+0.0555804
+0.0542953
+0.0530655
+0.051899
+0.0507799
+0.0496788
+0.048555
+0.0474419
+0.0463518
+0.0453414
+0.0443943
+0.0434454
+0.0425224
+0.0416153
+0.0407463
+0.0399412
+0.0391599
+0.0384572
+0.0377835
+0.037116
+0.0365549
+0.0360365
+0.035587
+0.0350781
+0.0345892
+0.0341508
+0.0336578
+0.0333019
+0.0330875
+0.0330047
+0.0328231
+0.0325542
+0.0323257
+0.0322447
+0.0322897
+0.0324481
+0.032749
+0.0331361
+0.0336052
+0.0341887
+0.0349002
+0.0357267
+0.0366437
+0.037665
+0.0387595
+0.0399443
+0.0412115
+0.0425538
+0.0439644
+0.0427832
+0.0412607
+0.0397899
+0.0383803
+0.0370467
+0.0357976
+0.0346421
+0.0335899
+0.032651
+0.0318353
+0.031119
+0.0305402
+0.0301101
+0.02981
+0.0296629
+0.0296075
+0.0294661
+0.0294597
+0.0296011
+0.0298864
+0.0303276
+0.0309029
+0.0315757
+0.0323564
+0.0332613
+0.0342825
+0.0353422
+0.0364923
+0.037734
+0.0390286
+0.0402696
+0.0415891
+0.0429798
+0.0443775
+0.0458287
+0.0473365
+0.0488959
+0.0505017
+0.0521316
+0.0537303
+0.0553592
+0.0679335
+0.066484
+0.0650759
+0.0636978
+0.0622913
+0.0609218
+0.0595971
+0.0582366
+0.0568204
+0.0554547
+0.0541251
+0.0528146
+0.0515518
+0.0503503
+0.0492169
+0.0481223
+0.0470455
+0.0459478
+0.0448658
+0.0438133
+0.0427733
+0.0418124
+0.0409059
+0.0400356
+0.0391645
+0.0383553
+0.0376129
+0.0369022
+0.0362163
+0.0355829
+0.0350351
+0.0345335
+0.0341065
+0.0335359
+0.0330241
+0.0326516
+0.0322691
+0.0318977
+0.0316738
+0.0315967
+0.0316458
+0.0313229
+0.0310854
+0.0310012
+0.0310589
+0.0312236
+0.0315399
+0.0319284
+0.0323944
+0.0329993
+0.0337252
+0.0345557
+0.0355021
+0.0365392
+0.0376664
+0.0388845
+0.0401852
+0.0415607
+0.0430038
+0.0421273
+0.0405802
+0.0390947
+0.0376725
+0.0363129
+0.0350376
+0.0338562
+0.0327788
+0.0318159
+0.0309782
+0.0302416
+0.0296457
+0.0291888
+0.0288067
+0.0283435
+0.0280293
+0.0278841
+0.0278999
+0.0280648
+0.0283685
+0.0288329
+0.0294308
+0.0301344
+0.0309495
+0.0318944
+0.032958
+0.0340507
+0.0352421
+0.0365094
+0.0378145
+0.0390941
+0.0404519
+0.0418473
+0.0432762
+0.0447632
+0.0463056
+0.0478952
+0.0495189
+0.0510997
+0.0527188
+0.0543763
+0.0665104
+0.0650328
+0.0635926
+0.0621963
+0.0608313
+0.0594377
+0.058086
+0.0567797
+0.0554342
+0.0540334
+0.0526865
+0.0513743
+0.0500874
+0.0488507
+0.0476818
+0.0465865
+0.0455205
+0.0444617
+0.0433237
+0.0422339
+0.0411986
+0.0402053
+0.0392894
+0.0384155
+0.0375735
+0.0367776
+0.0360481
+0.0353844
+0.0346758
+0.0340744
+0.0335227
+0.0330814
+0.03264
+0.032065
+0.0315294
+0.031139
+0.0308927
+0.030586
+0.0303525
+0.030276
+0.0303308
+0.0301811
+0.0299345
+0.029847
+0.0299202
+0.0301088
+0.0304368
+0.0308014
+0.0312711
+0.0318738
+0.0326043
+0.0334626
+0.034432
+0.0354957
+0.0366596
+0.0379145
+0.0392516
+0.0406611
+0.0421354
+0.0415766
+0.0400082
+0.0385006
+0.0370613
+0.0356958
+0.0344005
+0.0331964
+0.0320969
+0.0311129
+0.0302558
+0.0294739
+0.0286354
+0.0279131
+0.0273307
+0.026861
+0.0265323
+0.026379
+0.0264015
+0.0265756
+0.0269123
+0.0274015
+0.0280475
+0.0287855
+0.029638
+0.0306233
+0.0316942
+0.0328376
+0.0340688
+0.0353775
+0.0366911
+0.0380086
+0.0393973
+0.0407953
+0.0422599
+0.0437813
+0.0453495
+0.0469591
+0.0485242
+0.0501308
+0.0517786
+0.0534495
+0.065119
+0.0636198
+0.0621511
+0.0607216
+0.0593386
+0.0579886
+0.0566098
+0.0552784
+0.053993
+0.052665
+0.0512821
+0.0499571
+0.0486653
+0.0474049
+0.0461995
+0.0450683
+0.0440171
+0.0428883
+0.0417851
+0.0406776
+0.0396278
+0.0386502
+0.037717
+0.0368183
+0.0359717
+0.0351795
+0.0344654
+0.0337921
+0.0332084
+0.0325874
+0.0320688
+0.031623
+0.0311777
+0.0305907
+0.0301113
+0.0297023
+0.029451
+0.0293363
+0.0290887
+0.0289637
+0.0289853
+0.0289561
+0.0288108
+0.0287367
+0.0288127
+0.0290541
+0.0294263
+0.0297478
+0.0302249
+0.0308413
+0.0315958
+0.0324742
+0.0334569
+0.0345423
+0.0357066
+0.0369523
+0.0382729
+0.0396679
+0.0411323
+0.041131
+0.039509
+0.0379335
+0.0364209
+0.0349772
+0.0335908
+0.0322925
+0.0310945
+0.0299856
+0.028937
+0.0280115
+0.0271489
+0.0264032
+0.0258029
+0.025378
+0.0251087
+0.0249466
+0.0249763
+0.0251856
+0.025548
+0.0260628
+0.0267476
+0.0275449
+0.0284349
+0.0294008
+0.0304882
+0.0316625
+0.0329361
+0.0342911
+0.035662
+0.0370092
+0.0384042
+0.0398362
+0.0413311
+0.0428722
+0.0444677
+0.0460048
+0.0475841
+0.0492102
+0.0508787
+0.0525084
+0.0637577
+0.0622409
+0.0607497
+0.0592912
+0.057874
+0.0565062
+0.0551734
+0.0538117
+0.0525034
+0.0512421
+0.0499344
+0.0485726
+0.0472732
+0.0460054
+0.0447754
+0.0436072
+0.0425199
+0.0413496
+0.0402262
+0.0391388
+0.0380869
+0.0370858
+0.0361717
+0.0352459
+0.0344035
+0.0336217
+0.0329032
+0.0322702
+0.0316788
+0.0311757
+0.0306701
+0.0301671
+0.0296411
+0.0291683
+0.0287036
+0.0283623
+0.028099
+0.0278028
+0.0275815
+0.0274745
+0.0275212
+0.0275428
+0.0275433
+0.0277009
+0.0277797
+0.02803
+0.0283328
+0.0286803
+0.0291574
+0.0297625
+0.0305133
+0.0313993
+0.0323938
+0.0334618
+0.0346355
+0.0358975
+0.0372374
+0.0386457
+0.0401242
+0.0399521
+0.0382803
+0.0366631
+0.0351082
+0.0336137
+0.0321963
+0.0308455
+0.0295891
+0.0284443
+0.0273957
+0.0264686
+0.0256413
+0.0249618
+0.0243593
+0.0239088
+0.0236496
+0.0235563
+0.0236322
+0.0238655
+0.0242716
+0.0248332
+0.0255519
+0.0264046
+0.0272604
+0.02826
+0.0293606
+0.0305742
+0.0318912
+0.0332918
+0.0347259
+0.0361081
+0.037512
+0.038968
+0.04038
+0.0418407
+0.0433629
+0.0449333
+0.0465489
+0.0481521
+0.0497408
+0.0513738
+0.0623843
+0.0608788
+0.059385
+0.0579031
+0.0564565
+0.0550535
+0.0537033
+0.0523902
+0.0510483
+0.0497657
+0.0485331
+0.0472368
+0.0459018
+0.0446321
+0.0434036
+0.0422093
+0.041044
+0.0398686
+0.0387093
+0.0376277
+0.0365635
+0.0355702
+0.0346322
+0.0337301
+0.0328637
+0.0320871
+0.0313937
+0.0307652
+0.0302093
+0.0297386
+0.0291985
+0.0286364
+0.0281222
+0.0276941
+0.0273394
+0.0269288
+0.0265504
+0.0262792
+0.0260937
+0.0260297
+0.0261168
+0.0262052
+0.0262057
+0.0263887
+0.0267256
+0.0270378
+0.0271727
+0.0274738
+0.027944
+0.0285381
+0.0292568
+0.0301181
+0.0311089
+0.0322178
+0.0334336
+0.0347452
+0.0361225
+0.0375727
+0.0390891
+0.0387758
+0.0370978
+0.035471
+0.0338614
+0.0323202
+0.0308553
+0.0294682
+0.0281722
+0.0269692
+0.0258864
+0.024922
+0.0241186
+0.0234308
+0.0229059
+0.0225229
+0.0222858
+0.0221887
+0.0223054
+0.0226171
+0.0230715
+0.0236971
+0.0244624
+0.025319
+0.0262044
+0.0272119
+0.0283532
+0.0296081
+0.0309663
+0.0324072
+0.0338712
+0.0352133
+0.036487
+0.0378444
+0.0392772
+0.0407775
+0.0423379
+0.0439101
+0.045436
+0.0470144
+0.0486403
+0.0503091
+0.06105
+0.0595121
+0.0580148
+0.0565545
+0.0550837
+0.0536509
+0.0522644
+0.0509345
+0.0496443
+0.0483254
+0.0470715
+0.0458645
+0.0445833
+0.043282
+0.0420351
+0.0407438
+0.0395318
+0.0383948
+0.0372342
+0.0361232
+0.0350774
+0.0340727
+0.0331196
+0.0322033
+0.0313858
+0.0306006
+0.0299053
+0.0293124
+0.0287894
+0.0283015
+0.0276337
+0.0270957
+0.0266554
+0.0262436
+0.0258722
+0.0253659
+0.0249871
+0.0247528
+0.0246625
+0.0246479
+0.0247682
+0.024896
+0.024971
+0.0251807
+0.0255464
+0.0257832
+0.02588
+0.0261606
+0.0266191
+0.027235
+0.0279872
+0.0288863
+0.0299182
+0.0310415
+0.0322746
+0.0336054
+0.0350227
+0.0365166
+0.0380598
+0.0376721
+0.0359503
+0.034274
+0.0326587
+0.0311092
+0.029594
+0.028159
+0.0268114
+0.0255807
+0.0244524
+0.0234582
+0.0226028
+0.0219336
+0.0214342
+0.0210662
+0.0209098
+0.0209399
+0.0210713
+0.0213875
+0.021908
+0.0226045
+0.023439
+0.0243703
+0.0252612
+0.0263049
+0.0274839
+0.0287767
+0.0301723
+0.0316497
+0.0328583
+0.0340841
+0.0353985
+0.0367961
+0.0382682
+0.0398064
+0.0412638
+0.0427719
+0.0443369
+0.0459531
+0.0476152
+0.0492744
+0.0597323
+0.0581941
+0.0566619
+0.0551742
+0.0537346
+0.0522957
+0.0508793
+0.0495121
+0.0482058
+0.0469423
+0.0456504
+0.0444291
+0.0431477
+0.0418501
+0.0406072
+0.03933
+0.038073
+0.0369034
+0.0358177
+0.0346655
+0.0336119
+0.0326221
+0.0316725
+0.0307273
+0.0298871
+0.0291668
+0.0284899
+0.0278974
+0.0274026
+0.0267243
+0.0261175
+0.025589
+0.0251993
+0.0248507
+0.0242835
+0.0238334
+0.0234946
+0.0232905
+0.023231
+0.0233151
+0.0234894
+0.0236033
+0.0237131
+0.0239926
+0.0244059
+0.0245294
+0.0246312
+0.0249258
+0.0254066
+0.0260252
+0.0267914
+0.0277051
+0.0287481
+0.0299153
+0.0311929
+0.032568
+0.0340285
+0.0355504
+0.0371274
+0.0366389
+0.0348855
+0.0331727
+0.0315019
+0.0298925
+0.0283549
+0.0269079
+0.0255361
+0.0242407
+0.0230809
+0.0220782
+0.0211944
+0.0204767
+0.0199585
+0.0196439
+0.0195146
+0.0195862
+0.0198587
+0.0202477
+0.0208399
+0.0215988
+0.0225165
+0.0234696
+0.0244076
+0.0254863
+0.0267014
+0.0280154
+0.0293057
+0.0304514
+0.0316878
+0.0330061
+0.0343767
+0.0358158
+0.0372688
+0.0386846
+0.04017
+0.0417176
+0.0433078
+0.0449077
+0.0465557
+0.0482468
+0.0583996
+0.0568721
+0.0553626
+0.053839
+0.0523627
+0.0509379
+0.0495447
+0.0481465
+0.0468025
+0.0455168
+0.0442917
+0.0430323
+0.0417301
+0.0404137
+0.0391559
+0.0379513
+0.0366872
+0.0354719
+0.0343534
+0.0332761
+0.032177
+0.0311816
+0.0302442
+0.0293259
+0.0284569
+0.0277217
+0.0271043
+0.0265735
+0.0258584
+0.0252252
+0.0245906
+0.0241049
+0.0237378
+0.0233569
+0.0227725
+0.022299
+0.0220286
+0.0218813
+0.0218763
+0.0219794
+0.022257
+0.0222856
+0.0224837
+0.0228133
+0.0230838
+0.0232684
+0.0234929
+0.0237626
+0.0242282
+0.0248648
+0.0256657
+0.0266173
+0.0277013
+0.0289108
+0.0302309
+0.0316365
+0.0330865
+0.0346104
+0.0361873
+0.0356422
+0.0338495
+0.0321063
+0.0304208
+0.028785
+0.0271916
+0.0256791
+0.0242704
+0.0229844
+0.0218068
+0.0207426
+0.0198638
+0.0191238
+0.0185852
+0.0182278
+0.0180979
+0.0182322
+0.0186133
+0.0191063
+0.0198259
+0.0206578
+0.021645
+0.0226458
+0.0234836
+0.0244647
+0.0255844
+0.0268365
+0.0280044
+0.0291649
+0.0304114
+0.0317413
+0.0331232
+0.0345363
+0.0360108
+0.0375295
+0.0391002
+0.0406625
+0.0422489
+0.0438873
+0.0455111
+0.0471124
+0.0569747
+0.055539
+0.0540357
+0.0525613
+0.0510481
+0.0495855
+0.0481782
+0.0468252
+0.0454472
+0.0441298
+0.0428734
+0.0416846
+0.0403474
+0.0390199
+0.0377354
+0.0365211
+0.0352984
+0.0341211
+0.0329567
+0.0318933
+0.0308058
+0.0297668
+0.0288036
+0.0279187
+0.0270989
+0.0263378
+0.0257351
+0.0249359
+0.0242413
+0.0236109
+0.0231333
+0.0226593
+0.0223297
+0.0217285
+0.0212222
+0.0208081
+0.0205627
+0.0204799
+0.0205469
+0.0206805
+0.0209559
+0.021008
+0.0212284
+0.0216005
+0.0217257
+0.0220324
+0.0224157
+0.0226982
+0.0231851
+0.0238497
+0.0246783
+0.0256573
+0.0267327
+0.0279311
+0.0292361
+0.0306384
+0.0321219
+0.0336404
+0.0352252
+0.0347101
+0.0328995
+0.0311186
+0.0293767
+0.0276986
+0.0260878
+0.0245486
+0.0231091
+0.0217546
+0.0205448
+0.0195069
+0.01854
+0.0177488
+0.0171761
+0.0168463
+0.0167335
+0.0168787
+0.0172886
+0.0179196
+0.0187864
+0.0197526
+0.0207378
+0.0214269
+0.0222938
+0.0233121
+0.0244555
+0.0256544
+0.0267279
+0.0278964
+0.0291509
+0.0304713
+0.0318349
+0.0332696
+0.0347575
+0.0362973
+0.0378707
+0.0394816
+0.041144
+0.0427823
+0.0443827
+0.0460057
+0.0555787
+0.0541125
+0.0526485
+0.051171
+0.0496714
+0.0482247
+0.0468125
+0.0453697
+0.0439579
+0.0425967
+0.041307
+0.0400723
+0.0388719
+0.0376491
+0.0363716
+0.0350856
+0.0338642
+0.0326949
+0.0315466
+0.0304597
+0.0294185
+0.0283726
+0.0273844
+0.0265158
+0.0257564
+0.0250545
+0.0242283
+0.0233487
+0.0226178
+0.0220433
+0.0215373
+0.0212397
+0.0206688
+0.0201449
+0.0196693
+0.0192795
+0.0190906
+0.0190444
+0.0191755
+0.0193637
+0.0196803
+0.0198199
+0.0200995
+0.0203316
+0.0204511
+0.0207287
+0.0211697
+0.0216078
+0.0220767
+0.0227478
+0.0236039
+0.024604
+0.0257006
+0.0269018
+0.0282115
+0.0296013
+0.0310835
+0.0326454
+0.0342751
+0.0336862
+0.0318969
+0.0300938
+0.0283276
+0.0266245
+0.0249943
+0.0234482
+0.0219803
+0.0205966
+0.01934
+0.0182383
+0.0172713
+0.0164759
+0.0158793
+0.0155419
+0.0154669
+0.0156832
+0.0161355
+0.0168099
+0.0177311
+0.0186664
+0.0195811
+0.0202479
+0.0210928
+0.0221231
+0.0233142
+0.0244055
+0.0254846
+0.026648
+0.0278878
+0.029203
+0.0305808
+0.0320344
+0.0335285
+0.0350652
+0.0366662
+0.0383031
+0.0399676
+0.0416167
+0.0432624
+0.0448702
+0.0541653
+0.0527347
+0.0512023
+0.0497005
+0.0482169
+0.0467336
+0.045299
+0.0438764
+0.042451
+0.0410589
+0.0397193
+0.0384577
+0.037254
+0.0360471
+0.034846
+0.0336263
+0.0324077
+0.0312229
+0.0300708
+0.0289863
+0.027981
+0.0269877
+0.0260286
+0.0251516
+0.0244005
+0.0236592
+0.0226691
+0.0218238
+0.0210756
+0.0204983
+0.0200461
+0.0196656
+0.01902
+0.0185261
+0.018081
+0.0177527
+0.0176086
+0.0176624
+0.0178511
+0.0181391
+0.0183982
+0.0185571
+0.018877
+0.0190922
+0.0192306
+0.0195127
+0.0199686
+0.0205826
+0.0210408
+0.0216664
+0.0224811
+0.0234727
+0.0246005
+0.0258224
+0.0271582
+0.0285968
+0.0301068
+0.031694
+0.0333162
+0.032665
+0.0308453
+0.0290597
+0.0273116
+0.0255827
+0.0238848
+0.0222731
+0.0207678
+0.0193727
+0.0181044
+0.0169842
+0.0159994
+0.0152467
+0.0147245
+0.0144138
+0.0143655
+0.014598
+0.0151232
+0.0158965
+0.016617
+0.0175044
+0.018393
+0.019072
+0.0199205
+0.0209452
+0.0221161
+0.0231696
+0.0242208
+0.025369
+0.0266395
+0.0279657
+0.0293477
+0.0307951
+0.0323107
+0.0338728
+0.0354692
+0.0370928
+0.0387271
+0.0403629
+0.0420249
+0.0437091
+0.0526328
+0.0511818
+0.0497535
+0.0482654
+0.0467536
+0.0452492
+0.0437824
+0.0423614
+0.0409607
+0.0395595
+0.0381912
+0.0368775
+0.0356464
+0.0344362
+0.0332408
+0.03205
+0.0309091
+0.0297401
+0.0286187
+0.0275405
+0.026531
+0.0255631
+0.0246462
+0.0238337
+0.0230837
+0.0222414
+0.0211924
+0.0203156
+0.0196013
+0.0190086
+0.0186131
+0.0180455
+0.0173806
+0.0169316
+0.0165347
+0.0162511
+0.0161861
+0.0162465
+0.0164749
+0.0169083
+0.0171507
+0.0173398
+0.0176998
+0.0178137
+0.0180868
+0.0183813
+0.0188636
+0.0195078
+0.019948
+0.0206068
+0.0214124
+0.0223703
+0.0234917
+0.0247566
+0.0261313
+0.0275574
+0.0290787
+0.0306812
+0.0323527
+0.0317316
+0.0298629
+0.0280326
+0.0262575
+0.0245162
+0.0228406
+0.0212439
+0.0196598
+0.018202
+0.0168743
+0.0157101
+0.0147805
+0.0139711
+0.0134373
+0.0131862
+0.0132885
+0.0137118
+0.0143001
+0.0148302
+0.0155117
+0.0163541
+0.0171398
+0.0178125
+0.0186915
+0.0197534
+0.0209385
+0.0218821
+0.0229384
+0.0241477
+0.025399
+0.0267113
+0.028118
+0.0295708
+0.031073
+0.0326373
+0.0342482
+0.035842
+0.0374653
+0.0391011
+0.0407891
+0.0424845
+0.051127
+0.0496537
+0.0481776
+0.0467536
+0.0453249
+0.0437964
+0.0423003
+0.0408494
+0.0394444
+0.0380683
+0.0367
+0.0353624
+0.0340805
+0.0328086
+0.0316347
+0.0304563
+0.0293148
+0.0282269
+0.0271578
+0.0260842
+0.0250481
+0.0241113
+0.0232734
+0.0224723
+0.0216775
+0.0207776
+0.019844
+0.0189124
+0.0181679
+0.0175579
+0.0170237
+0.0164214
+0.0158105
+0.0153608
+0.0150693
+0.014802
+0.0147496
+0.0148536
+0.0151809
+0.0157531
+0.0159833
+0.0162621
+0.0164017
+0.0165249
+0.0168524
+0.0172619
+0.0178045
+0.0183854
+0.0188361
+0.019469
+0.0203016
+0.0213276
+0.022457
+0.0237048
+0.0250789
+0.0265615
+0.0281368
+0.0297899
+0.0314537
+0.0308719
+0.0289956
+0.0271162
+0.0252864
+0.0235083
+0.0218027
+0.0201397
+0.0185804
+0.0171351
+0.0157856
+0.0145613
+0.0135563
+0.0128293
+0.0123213
+0.0120742
+0.0121857
+0.0126776
+0.0131635
+0.0136249
+0.0142781
+0.0150796
+0.0159334
+0.0166702
+0.017577
+0.0186235
+0.01965
+0.0206291
+0.0217195
+0.0228837
+0.0241264
+0.025452
+0.0268428
+0.0283104
+0.0298434
+0.0314315
+0.0329837
+0.0345725
+0.0362065
+0.0378595
+0.0395474
+0.0412685
+0.0496408
+0.048142
+0.0466453
+0.0451771
+0.0437674
+0.042373
+0.0408601
+0.0393743
+0.0379391
+0.0365572
+0.0352109
+0.0338798
+0.0325608
+0.0312498
+0.030015
+0.0288907
+0.027728
+0.0266483
+0.0256249
+0.0246408
+0.0236065
+0.0226612
+0.0218564
+0.0210748
+0.0200404
+0.0191944
+0.0184378
+0.017661
+0.0168899
+0.0162519
+0.0154315
+0.0147927
+0.0142008
+0.0138354
+0.0135953
+0.0134185
+0.0133958
+0.0135511
+0.0139876
+0.0144636
+0.0146342
+0.0151139
+0.0151493
+0.0153203
+0.0156877
+0.0161119
+0.0166964
+0.01739
+0.0178137
+0.0184634
+0.0192691
+0.0202804
+0.0214513
+0.0227527
+0.0241796
+0.0256989
+0.0272442
+0.0288676
+0.0304891
+0.0299074
+0.0280927
+0.0262223
+0.0243793
+0.0225808
+0.0208163
+0.019136
+0.0175549
+0.0160348
+0.0146707
+0.0134831
+0.0125073
+0.0117847
+0.0112935
+0.0111022
+0.0113059
+0.011774
+0.0119924
+0.0125372
+0.0131988
+0.013892
+0.0147327
+0.0154492
+0.016388
+0.0174906
+0.0184275
+0.0193671
+0.0204213
+0.021586
+0.0228423
+0.0241623
+0.0255662
+0.0270603
+0.0286029
+0.0301594
+0.0317184
+0.0333126
+0.0349499
+0.0366281
+0.0383398
+0.040047
+0.0482068
+0.0466619
+0.0451634
+0.0436494
+0.0421907
+0.0407976
+0.0394215
+0.0379483
+0.0364767
+0.0350598
+0.0337075
+0.0323977
+0.0310403
+0.02973
+0.0284718
+0.0272791
+0.0261581
+0.0250833
+0.0240711
+0.0231455
+0.0221826
+0.0212176
+0.0204428
+0.0195284
+0.0185009
+0.0175992
+0.0169156
+0.016338
+0.0155185
+0.0146266
+0.0138669
+0.013139
+0.0126287
+0.0122743
+0.0120651
+0.0120322
+0.012061
+0.0123499
+0.012894
+0.0130637
+0.0133222
+0.0139248
+0.0139994
+0.0142109
+0.0146046
+0.0150472
+0.0156493
+0.0164696
+0.0168402
+0.0174469
+0.018291
+0.0193245
+0.020537
+0.0218833
+0.0232831
+0.0247669
+0.0262373
+0.0278026
+0.0294479
+0.0288836
+0.0270736
+0.0252576
+0.0234936
+0.0216774
+0.0198796
+0.0181683
+0.0165406
+0.0150086
+0.0136259
+0.0124246
+0.0114795
+0.0107463
+0.0102918
+0.0102274
+0.0105749
+0.010571
+0.0108732
+0.0113182
+0.0119132
+0.0127274
+0.0135622
+0.0142852
+0.0152184
+0.0163925
+0.0171528
+0.0180375
+0.0190869
+0.0202648
+0.0215518
+0.0228917
+0.0243055
+0.0258182
+0.0273715
+0.0288703
+0.0304312
+0.0320569
+0.0337229
+0.0354325
+0.0371442
+0.0389038
+0.046822
+0.0452395
+0.0436933
+0.0421666
+0.0406688
+0.0392217
+0.0378461
+0.036493
+0.03506
+0.033615
+0.0322211
+0.0308872
+0.0295888
+0.0282279
+0.026958
+0.0257222
+0.0245697
+0.0235115
+0.02255
+0.021631
+0.0207257
+0.0197969
+0.0189458
+0.0179045
+0.0169958
+0.0161053
+0.0153864
+0.0149247
+0.0139801
+0.0130558
+0.0122477
+0.0115765
+0.0110527
+0.0107426
+0.0106152
+0.0106465
+0.0108231
+0.0112227
+0.0116142
+0.0117036
+0.0121158
+0.0127754
+0.012886
+0.0131249
+0.0134949
+0.0140691
+0.0147676
+0.0155532
+0.0159196
+0.01656
+0.0174364
+0.0184804
+0.0196826
+0.020956
+0.0222529
+0.0236768
+0.0252108
+0.0268361
+0.0285372
+0.0277346
+0.0259387
+0.0242079
+0.0224657
+0.0206906
+0.0190023
+0.0172902
+0.0156025
+0.0140478
+0.0126503
+0.0114156
+0.0103965
+0.00973149
+0.00935909
+0.00937609
+0.00951907
+0.00940131
+0.00964642
+0.0101557
+0.0107027
+0.0115749
+0.0124602
+0.0132024
+0.0140905
+0.015184
+0.0158482
+0.0167175
+0.0177764
+0.018975
+0.0202639
+0.0216335
+0.0230923
+0.0245936
+0.0260426
+0.0275882
+0.0291835
+0.0308413
+0.0325551
+0.0342754
+0.0360175
+0.0377936
+0.0454082
+0.0438492
+0.0422857
+0.0407062
+0.0391855
+0.0377072
+0.0362742
+0.0349199
+0.0335948
+0.0322106
+0.030799
+0.0294249
+0.0280734
+0.0267817
+0.025401
+0.0241357
+0.0229894
+0.0219043
+0.0209716
+0.0200803
+0.0192061
+0.0182995
+0.0173226
+0.0162758
+0.0153757
+0.0145938
+0.013948
+0.0133727
+0.0124847
+0.0115121
+0.0107696
+0.0100526
+0.00957134
+0.00928822
+0.00924447
+0.00934097
+0.0096591
+0.0101471
+0.0102565
+0.0103592
+0.0108478
+0.0116743
+0.0118008
+0.0120688
+0.0124602
+0.0130411
+0.0137981
+0.014624
+0.0150885
+0.0157021
+0.0165469
+0.0174741
+0.0185918
+0.0198889
+0.0212599
+0.0227459
+0.0243387
+0.0260186
+0.0277212
+0.0267156
+0.0248467
+0.023034
+0.0212925
+0.0196411
+0.0179846
+0.0163105
+0.0147607
+0.0132477
+0.0117494
+0.01048
+0.00948616
+0.00878756
+0.0085305
+0.00838574
+0.00818976
+0.00817165
+0.0084363
+0.00890462
+0.00954236
+0.0104908
+0.0112472
+0.0118595
+0.0128202
+0.0139269
+0.0145548
+0.0154417
+0.0165206
+0.0177688
+0.0190381
+0.0204145
+0.0218376
+0.0232838
+0.0247729
+0.0263303
+0.0279671
+0.0296755
+0.031369
+0.0331149
+0.0349
+0.0366901
+0.0440174
+0.0424494
+0.0408882
+0.0393026
+0.0377369
+0.0362241
+0.0347694
+0.0333541
+0.0320262
+0.0307357
+0.0294116
+0.0279978
+0.0266384
+0.025326
+0.0239252
+0.0225817
+0.0213741
+0.0202967
+0.0193092
+0.0185213
+0.0177101
+0.0168258
+0.0157017
+0.0146643
+0.0137852
+0.0130816
+0.012473
+0.0118472
+0.0110049
+0.0100749
+0.00925806
+0.00862976
+0.00821597
+0.00794697
+0.00790185
+0.00801101
+0.00843316
+0.00892611
+0.00908937
+0.00930927
+0.00985162
+0.0105586
+0.010676
+0.010986
+0.0114947
+0.0121637
+0.0128924
+0.013571
+0.0141804
+0.0146529
+0.0154173
+0.0164067
+0.0175924
+0.018958
+0.0204243
+0.0219005
+0.0234818
+0.0251394
+0.0268397
+0.0257595
+0.0238978
+0.0220131
+0.0201836
+0.0184332
+0.0167864
+0.0152698
+0.0137424
+0.0122108
+0.0109055
+0.00978738
+0.00871455
+0.00804834
+0.00752265
+0.00711738
+0.00698922
+0.00694153
+0.00726109
+0.0077939
+0.00849744
+0.00940703
+0.00990078
+0.0105946
+0.0115877
+0.0127041
+0.0133566
+0.0142442
+0.0153453
+0.0165394
+0.0177724
+0.0191366
+0.020536
+0.0219726
+0.0235048
+0.0251347
+0.0268095
+0.028498
+0.030251
+0.0320426
+0.0338333
+0.0356597
+0.0425656
+0.0410098
+0.0394393
+0.0379154
+0.0363335
+0.0347901
+0.0332876
+0.0318619
+0.0304691
+0.0291744
+0.0279247
+0.0266408
+0.0252421
+0.0239268
+0.0224996
+0.021136
+0.0198458
+0.0187142
+0.017737
+0.0168845
+0.0161867
+0.0154029
+0.0141835
+0.0130792
+0.0121834
+0.0115461
+0.0110879
+0.0103918
+0.00946216
+0.00863556
+0.0078296
+0.00723086
+0.00685554
+0.00658796
+0.00657846
+0.00676706
+0.00718008
+0.0077954
+0.00822317
+0.008498
+0.0091685
+0.00940113
+0.0095368
+0.00993219
+0.0103561
+0.0110939
+0.0119107
+0.0126412
+0.0131173
+0.0136704
+0.0144868
+0.0155494
+0.0167962
+0.0181052
+0.0194429
+0.0209219
+0.0225147
+0.0242011
+0.025963
+0.0248447
+0.0229442
+0.0211
+0.019245
+0.0174004
+0.0156452
+0.0140056
+0.0125265
+0.0112812
+0.00992499
+0.0087311
+0.00777043
+0.00702165
+0.00627977
+0.00588257
+0.00572448
+0.00578243
+0.00611449
+0.00666646
+0.00749698
+0.00836216
+0.00868748
+0.00930656
+0.0102822
+0.011557
+0.0121992
+0.0130619
+0.0141471
+0.0152649
+0.0165139
+0.017857
+0.0192464
+0.0207468
+0.0223439
+0.0239932
+0.02568
+0.0274335
+0.0292117
+0.0310044
+0.0328234
+0.0346855
+0.041129
+0.0395369
+0.0380009
+0.0364384
+0.0349372
+0.0333879
+0.0318721
+0.0303832
+0.0289835
+0.0276288
+0.0263765
+0.0251795
+0.0238664
+0.0224784
+0.0211138
+0.0197092
+0.0184142
+0.0172095
+0.0162013
+0.0153767
+0.0145878
+0.0137972
+0.0126733
+0.0115918
+0.0106705
+0.0100166
+0.00967785
+0.00894427
+0.0080132
+0.00716286
+0.00639463
+0.00584861
+0.00549124
+0.00532374
+0.00536097
+0.00562498
+0.00605171
+0.00688435
+0.00764325
+0.0078236
+0.00828578
+0.00837363
+0.00852033
+0.00896455
+0.00933828
+0.0101504
+0.0109363
+0.0117179
+0.0121787
+0.0126427
+0.0134519
+0.0145474
+0.0158008
+0.0170617
+0.0184751
+0.0200257
+0.0216844
+0.0234307
+0.0251675
+0.0239292
+0.0221051
+0.0202117
+0.0183545
+0.0165673
+0.0147432
+0.0129903
+0.0113799
+0.0099927
+0.00867456
+0.00747978
+0.00677994
+0.00586561
+0.00507707
+0.00468118
+0.00441168
+0.00443614
+0.00493831
+0.00551338
+0.00640823
+0.00725781
+0.00741977
+0.00809087
+0.0091539
+0.0103148
+0.0110212
+0.0118751
+0.0128754
+0.0140348
+0.015267
+0.0166122
+0.0180659
+0.0196289
+0.0212554
+0.0229111
+0.0246446
+0.0264314
+0.0282105
+0.0300389
+0.0319028
+0.0338017
+0.0396273
+0.038112
+0.0365197
+0.0349888
+0.0334552
+0.031964
+0.0304672
+0.0289698
+0.027521
+0.0261517
+0.0248327
+0.0236354
+0.0224173
+0.020957
+0.0196078
+0.0183098
+0.017009
+0.0158237
+0.0147355
+0.013797
+0.0130149
+0.0121078
+0.01104
+0.010051
+0.00931275
+0.00870725
+0.0083857
+0.00746347
+0.00654288
+0.00574591
+0.00504846
+0.00447074
+0.00421379
+0.00414547
+0.00418256
+0.00446896
+0.00511275
+0.00609786
+0.00656837
+0.00717782
+0.00718325
+0.0071752
+0.0073536
+0.00778828
+0.00841756
+0.00931067
+0.00999535
+0.0108186
+0.0112602
+0.0117605
+0.0125698
+0.0136016
+0.0148634
+0.016204
+0.017699
+0.0193271
+0.0209586
+0.0226503
+0.024366
+0.0231164
+0.0212226
+0.0193914
+0.0176008
+0.0157283
+0.0139372
+0.0122765
+0.0105683
+0.00888523
+0.00745825
+0.00639031
+0.00558049
+0.0048159
+0.00395746
+0.00340229
+0.00321209
+0.00320582
+0.00375426
+0.00442783
+0.00540399
+0.00634618
+0.0064797
+0.0071737
+0.00829959
+0.00901833
+0.00974997
+0.0105952
+0.0116458
+0.0128481
+0.0141296
+0.0155277
+0.0170176
+0.0185744
+0.0202054
+0.0219203
+0.0236826
+0.0254588
+0.0272954
+0.0291678
+0.0310049
+0.0328853
+0.038117
+0.0366335
+0.0351091
+0.0335173
+0.0319931
+0.0304949
+0.029017
+0.0275769
+0.0260976
+0.0246581
+0.0233268
+0.0221168
+0.0209699
+0.0195248
+0.0181065
+0.016816
+0.0156083
+0.0144202
+0.0132754
+0.0122863
+0.0114642
+0.0105125
+0.00936374
+0.0084762
+0.00773
+0.00744925
+0.00691443
+0.00595893
+0.00508229
+0.00431448
+0.00364209
+0.00310363
+0.00294994
+0.00282256
+0.00304402
+0.00349195
+0.00424215
+0.00510327
+0.00557612
+0.00623129
+0.00598801
+0.00597812
+0.00622269
+0.00665931
+0.00744403
+0.00844693
+0.00918534
+0.00997068
+0.010428
+0.0108409
+0.011616
+0.0127254
+0.0140903
+0.0155953
+0.0170752
+0.018609
+0.0202639
+0.0218966
+0.0235357
+0.0223768
+0.0205319
+0.018628
+0.0167935
+0.0150546
+0.0132946
+0.0115418
+0.00983729
+0.00802059
+0.00641255
+0.00523424
+0.00477983
+0.00372301
+0.00290673
+0.00226676
+0.00205956
+0.00213874
+0.00266136
+0.00346608
+0.0044449
+0.00548948
+0.00581599
+0.00654953
+0.00730471
+0.00778064
+0.00849201
+0.00936373
+0.0104382
+0.0116522
+0.0129627
+0.0144651
+0.0159625
+0.0175704
+0.0192118
+0.0209427
+0.0227089
+0.0245355
+0.0263312
+0.0281829
+0.0300802
+0.0320149
+0.0366392
+0.0351126
+0.0336425
+0.0321243
+0.030534
+0.0290189
+0.0275534
+0.026105
+0.0246579
+0.023203
+0.021794
+0.0205099
+0.0193599
+0.0180966
+0.0167063
+0.0153403
+0.0141516
+0.0130116
+0.0118637
+0.010827
+0.00992761
+0.00892909
+0.00775794
+0.00688161
+0.00633954
+0.00606673
+0.00547821
+0.00447853
+0.003651
+0.00285039
+0.0022494
+0.00179029
+0.00183912
+0.00162397
+0.00193932
+0.00260705
+0.00362184
+0.00412854
+0.0044753
+0.00500759
+0.00484224
+0.0048375
+0.00505155
+0.00552575
+0.00643146
+0.00758839
+0.00831816
+0.00918017
+0.00971847
+0.010161
+0.0110118
+0.0121764
+0.0135966
+0.0150456
+0.0165083
+0.0180806
+0.0195791
+0.0211964
+0.0228857
+0.0216062
+0.0197617
+0.017995
+0.0161594
+0.014341
+0.0126017
+0.011002
+0.00917011
+0.00753227
+0.00592418
+0.00462303
+0.00359919
+0.00258184
+0.00177222
+0.00116918
+0.000890057
+0.00099683
+0.00159269
+0.00247304
+0.00344693
+0.00470222
+0.00519637
+0.00600409
+0.00617623
+0.00657912
+0.00736337
+0.00821008
+0.00927863
+0.0105319
+0.0119131
+0.0133477
+0.0148729
+0.0165369
+0.0181943
+0.0199549
+0.0217568
+0.0235606
+0.0254212
+0.0273102
+0.0292247
+0.0310872
+0.0352358
+0.0336456
+0.032126
+0.0306676
+0.029161
+0.0275761
+0.0260735
+0.0246356
+0.023212
+0.0217556
+0.0203295
+0.0190023
+0.017735
+0.0165492
+0.0152723
+0.0139666
+0.0127279
+0.0117027
+0.0105269
+0.0094136
+0.00856086
+0.00744734
+0.00623302
+0.00533513
+0.00491225
+0.00500063
+0.00400845
+0.00306845
+0.00219817
+0.00148018
+0.000900281
+0.000517537
+0.000689759
+0.000469085
+0.00105963
+0.00193184
+0.00309664
+0.00313696
+0.00365905
+0.00381335
+0.00367917
+0.0037274
+0.00404982
+0.00467041
+0.00560319
+0.00650577
+0.00728454
+0.0080539
+0.00895143
+0.00987508
+0.0107486
+0.0119388
+0.0133108
+0.0147286
+0.016049
+0.0175001
+0.0190463
+0.0205629
+0.022144
+0.0210366
+0.0191372
+0.0173069
+0.0155621
+0.0137634
+0.0120845
+0.0103568
+0.00867174
+0.00697523
+0.0052924
+0.00374423
+0.00238243
+0.00128045
+0.000502669
+1.96521e-05
+-0.000322004
+-0.0002553
+0.0005109
+0.00141857
+0.00245172
+0.0037974
+0.00408004
+0.00482437
+0.00502748
+0.00540295
+0.0061288
+0.00708642
+0.00818019
+0.00946772
+0.0107913
+0.0122202
+0.0138026
+0.0155238
+0.017255
+0.0190267
+0.0208066
+0.0226586
+0.0245213
+0.0263588
+0.0282468
+0.0301374
+0.0339159
+0.0322607
+0.0306726
+0.0291628
+0.0277197
+0.0261856
+0.0246526
+0.0231497
+0.0217231
+0.0203143
+0.0189104
+0.0175213
+0.0162113
+0.0149411
+0.0137719
+0.0125674
+0.0113773
+0.0103687
+0.0092484
+0.00802025
+0.00709931
+0.00579347
+0.0047294
+0.00382371
+0.00362873
+0.00365181
+0.00256472
+0.0016695
+0.000747158
+0.000155183
+-0.000372335
+-0.000484904
+-0.00054289
+-0.000432603
+0.000360649
+0.0014193
+0.00215315
+0.00206793
+0.00286093
+0.00269022
+0.00266201
+0.00284433
+0.00320885
+0.00388162
+0.00459839
+0.00541641
+0.00613705
+0.00696197
+0.00791069
+0.00889483
+0.0102137
+0.0117043
+0.0130349
+0.0142288
+0.0155484
+0.0169569
+0.018345
+0.0198782
+0.0200325
+0.0199353
+0.0187494
+0.016877
+0.0149282
+0.0130494
+0.0112822
+0.00951461
+0.00766035
+0.0058171
+0.00406614
+0.00253717
+0.00109268
+4.00371e-06
+-0.000851374
+-0.000559797
+-0.000211035
+-0.000545275
+-0.0005757
+0.000403787
+0.00151928
+0.00275833
+0.00292652
+0.00379935
+0.00391499
+0.00429483
+0.00491188
+0.00581336
+0.00694762
+0.00834113
+0.00966615
+0.0111867
+0.0127518
+0.0144613
+0.0162584
+0.0180608
+0.0198748
+0.0216635
+0.0235203
+0.0254242
+0.0273383
+0.029264
+0.0325401
+0.0309077
+0.0293017
+0.0277187
+0.0262219
+0.0247923
+0.0232423
+0.0217119
+0.0201909
+0.0187931
+0.0174854
+0.016042
+0.0147085
+0.0134498
+0.0122623
+0.0110727
+0.0100047
+0.00908526
+0.00803717
+0.00684889
+0.00580558
+0.00435311
+0.0031349
+0.00240142
+0.00237577
+0.00228255
+0.00122825
+0.000299777
+-0.000665476
+-0.00116593
+-0.00120009
+-0.00120304
+-0.00123972
+-0.00123794
+-0.000349531
+0.000897458
+0.000917398
+0.00113404
+0.00183656
+0.0017064
+0.00165444
+0.00189832
+0.00240862
+0.00306811
+0.00369813
+0.00441115
+0.00506987
+0.00592731
+0.00698083
+0.00807249
+0.00939878
+0.0107682
+0.0123539
+0.0135909
+0.0148979
+0.0163945
+0.0178359
+0.018281
+0.0179084
+0.0177995
+0.0178178
+0.0159045
+0.0140274
+0.0121773
+0.0102671
+0.00842758
+0.00664925
+0.00479482
+0.0030242
+0.00145712
+-6.07049e-06
+-0.0012299
+9.55016e-05
+0.000702486
+0.000825307
+0.000602392
+0.000112255
+-0.000680389
+0.000607388
+0.00167206
+0.00190394
+0.00283024
+0.0028457
+0.00314461
+0.0036972
+0.00468045
+0.00594484
+0.00724176
+0.00854655
+0.0100933
+0.0117529
+0.0134785
+0.0152265
+0.0170186
+0.0188634
+0.0206958
+0.0225915
+0.0245183
+0.0264501
+0.0284186
+0.0312427
+0.0295461
+0.0279131
+0.0263523
+0.0247928
+0.023314
+0.0218712
+0.0203348
+0.0187763
+0.017281
+0.0159269
+0.0146321
+0.0132773
+0.0120365
+0.010828
+0.00971468
+0.00864358
+0.00777763
+0.00678976
+0.00572343
+0.00466668
+0.00307068
+0.00173203
+0.000979039
+0.00150329
+0.000812148
+-0.000109737
+-0.00104769
+-0.000236168
+-0.000146095
+-0.000152813
+6.94589e-05
+-0.000229038
+-0.000463127
+-0.000899174
+0.00030666
+-0.000280857
+0.000263218
+0.000757313
+0.000657977
+0.000631841
+0.000934803
+0.00145865
+0.00224505
+0.00291173
+0.00348089
+0.00418123
+0.0050709
+0.00628437
+0.007418
+0.00865925
+0.0100831
+0.011611
+0.0130296
+0.0143876
+0.0159323
+0.0168935
+0.0162235
+0.0158024
+0.0156789
+0.01586
+0.0149908
+0.0130477
+0.0111768
+0.00930545
+0.00736905
+0.0055016
+0.0037412
+0.00196873
+0.00036533
+-0.00103082
+1.89767e-05
+0.00147006
+0.00202263
+0.0019385
+0.0017596
+0.0011939
+8.3599e-05
+-0.000346736
+0.000572225
+0.000831127
+0.00198978
+0.00183869
+0.00208452
+0.00250778
+0.00351453
+0.0048709
+0.00603923
+0.00748321
+0.00899143
+0.0107183
+0.0124396
+0.0142424
+0.0160697
+0.0179061
+0.0197783
+0.0216903
+0.0236492
+0.0256167
+0.027606
+0.029973
+0.0282525
+0.0265758
+0.0249438
+0.0233767
+0.0218624
+0.0204217
+0.0188951
+0.017339
+0.0158512
+0.0144495
+0.0131427
+0.0118349
+0.0106022
+0.00944242
+0.00837319
+0.00735648
+0.00644998
+0.00550594
+0.0045484
+0.003531
+0.00222746
+0.000435556
+-0.000196082
+0.000415536
+-0.000633628
+-0.000433755
+0.00027329
+0.000952499
+0.00103129
+0.00102591
+0.00110028
+0.000908798
+0.000579381
+3.13716e-06
+-0.000830208
+-0.00163572
+-0.000572215
+-0.000343571
+-0.000507874
+-0.000399292
+4.70327e-05
+0.000630244
+0.00143855
+0.00211734
+0.00258098
+0.00335386
+0.0043215
+0.00548479
+0.00671551
+0.00800134
+0.00943996
+0.0109622
+0.0124504
+0.0140615
+0.0154734
+0.0149456
+0.0142058
+0.013723
+0.0135806
+0.0137893
+0.0141469
+0.0122149
+0.0102933
+0.00837532
+0.00649819
+0.00449681
+0.00261427
+0.000868809
+-0.00082774
+-0.000427621
+0.00116373
+0.00265789
+0.00326383
+0.00316104
+0.00296821
+0.00177864
+-0.000317314
+-0.00134924
+-0.000637896
+-0.000203272
+0.00110582
+0.000815456
+0.00100907
+0.00148675
+0.00248859
+0.00376812
+0.00499907
+0.00645118
+0.00807426
+0.00978647
+0.0115563
+0.0133338
+0.0151306
+0.0169774
+0.0188942
+0.0208376
+0.0228208
+0.0248378
+0.0267941
+0.0288111
+0.0270169
+0.0252852
+0.0236115
+0.021975
+0.0203822
+0.0188853
+0.0174573
+0.0159306
+0.0143798
+0.0129299
+0.0116203
+0.0103204
+0.00916328
+0.00804927
+0.00690806
+0.00600595
+0.00516795
+0.00427385
+0.00337047
+0.00230368
+0.001304
+-0.000267791
+-0.00062034
+-0.00102776
+8.83585e-06
+0.000785497
+0.00134875
+0.00185022
+0.00216975
+0.00225899
+0.00201189
+0.00191941
+0.00138294
+0.000500346
+-0.00154507
+-0.00213877
+-0.000795107
+-0.000344793
+-0.00016405
+-0.000425201
+-0.000900921
+-0.000223186
+0.000755778
+0.00126828
+0.00168023
+0.00265682
+0.00361671
+0.00463157
+0.00585522
+0.00718892
+0.00857213
+0.0101319
+0.0116706
+0.013173
+0.014205
+0.0130749
+0.0122361
+0.0116842
+0.0115167
+0.011762
+0.0123032
+0.0113552
+0.0093452
+0.00737196
+0.00543154
+0.00350029
+0.00159288
+-0.000170009
+-0.00123381
+0.000527331
+0.0022094
+0.0037939
+0.00451631
+0.00443349
+0.00411618
+0.00194368
+-0.000208476
+-0.00203101
+-0.00179425
+-0.00124631
+0.000147113
+-0.000223487
+-8.22043e-05
+0.000467819
+0.00163705
+0.0025761
+0.00404431
+0.00550176
+0.00714026
+0.00893746
+0.0105962
+0.012353
+0.014199
+0.0161111
+0.0180759
+0.0200874
+0.022106
+0.0240937
+0.0257396
+0.0277279
+0.025887
+0.0240811
+0.0223368
+0.0206663
+0.0190119
+0.017424
+0.0159535
+0.0145046
+0.0129552
+0.0114607
+0.0100777
+0.00881799
+0.00769072
+0.00656832
+0.00547699
+0.00455117
+0.00377503
+0.00293985
+0.00200613
+0.0010626
+7.33092e-05
+-0.00123966
+-0.00135092
+0.000157725
+0.00126288
+0.00196446
+0.00235524
+0.00277728
+0.00333458
+0.00333293
+0.00310319
+0.00283734
+0.00217137
+0.000125405
+-0.0020483
+-0.00130564
+0.000245977
+0.000688934
+0.000857438
+0.000638364
+-0.000135782
+-0.000997457
+-8.39465e-05
+0.000394545
+0.000938195
+0.0019177
+0.00285079
+0.00390405
+0.0052108
+0.00644368
+0.00790741
+0.0093797
+0.0109217
+0.0124241
+0.0126079
+0.0113195
+0.0103393
+0.00968608
+0.00948331
+0.0097798
+0.0105039
+0.0106523
+0.00862099
+0.00656047
+0.00452917
+0.00252288
+0.000638996
+-0.00115275
+-0.000415239
+0.00141072
+0.00321714
+0.00478704
+0.00582752
+0.00576443
+0.00453266
+0.00237027
+0.000274725
+-0.00151416
+-0.00192915
+-0.00141477
+1.49163e-05
+-0.000539902
+-0.00107631
+-0.000600015
+0.00063049
+0.0016838
+0.00307775
+0.00451656
+0.00621069
+0.00789819
+0.00964379
+0.0114729
+0.013389
+0.0153371
+0.0173433
+0.0193894
+0.0214077
+0.0230574
+0.0247172
+0.0266167
+0.0248531
+0.0229988
+0.0211908
+0.019434
+0.01776
+0.0160763
+0.0145015
+0.0130283
+0.0116208
+0.0100414
+0.00861175
+0.0072908
+0.00620282
+0.00504749
+0.00403976
+0.00308607
+0.00230137
+0.00144414
+0.000598517
+-0.000278046
+-0.000759272
+-0.00185478
+-0.000348976
+0.00141725
+0.00257059
+0.00302969
+0.00337381
+0.00376293
+0.00449354
+0.00423221
+0.00425776
+0.00345554
+0.00184551
+-0.000225728
+-0.00142319
+4.21655e-05
+0.00122905
+0.00176786
+0.00196407
+0.00162478
+0.000723454
+-0.000241176
+-0.000995946
+-0.00050679
+0.000204477
+0.00120246
+0.00214374
+0.00339907
+0.00459886
+0.00577717
+0.00712097
+0.00851555
+0.0101106
+0.0116587
+0.0112021
+0.00972951
+0.00856958
+0.00778469
+0.0075309
+0.00790099
+0.00881676
+0.00985496
+0.00805916
+0.00596361
+0.00387376
+0.00185688
+-0.000127575
+-0.00119991
+0.000676704
+0.00245186
+0.00424381
+0.00586048
+0.00712041
+0.00695991
+0.00484864
+0.00274318
+0.000792892
+-0.000696412
+-0.00153472
+-0.00149744
+0.00037346
+0.000593089
+0.000120277
+-0.000938462
+0.000215204
+0.000643976
+0.00195334
+0.00350074
+0.00526711
+0.00696624
+0.00877853
+0.0106838
+0.0126683
+0.0146148
+0.0165817
+0.0185878
+0.0203601
+0.0220052
+0.0237208
+0.0254423
+0.0237636
+0.0219895
+0.0201695
+0.0183506
+0.0166019
+0.0149008
+0.0132077
+0.0116578
+0.0101765
+0.00867961
+0.00725046
+0.00590143
+0.0048126
+0.00354604
+0.00253315
+0.00165825
+0.000830101
+-1.89933e-05
+-0.000804937
+1.24816e-05
+-0.000614277
+-0.00146834
+0.000512616
+0.00246346
+0.00388928
+0.00429796
+0.00467175
+0.00511415
+0.00578892
+0.00539215
+0.00484761
+0.00373748
+0.00170378
+-7.60732e-05
+-0.000755309
+0.000722493
+0.0021692
+0.002789
+0.00288489
+0.00240018
+0.00153485
+0.000766049
+0.000146486
+-0.000643817
+-0.000639379
+0.000339889
+0.00144737
+0.00265159
+0.00373469
+0.00503204
+0.00641918
+0.00782164
+0.00942478
+0.0109965
+0.0100409
+0.00836635
+0.00698356
+0.00607565
+0.00574688
+0.00622398
+0.00727226
+0.00858958
+0.00771191
+0.00558243
+0.0035032
+0.00144924
+-0.000602007
+-0.000110385
+0.00171243
+0.00354644
+0.00528363
+0.0069603
+0.00840147
+0.00726912
+0.00524972
+0.00323687
+0.00151111
+0.000224732
+-0.000543377
+-0.000930572
+0.0006626
+0.00163176
+0.00113539
+0.000117742
+-0.000569969
+-0.000560659
+0.00075615
+0.0024866
+0.00426267
+0.00607054
+0.007922
+0.0098354
+0.011784
+0.0137666
+0.0157221
+0.0177321
+0.0193686
+0.0210638
+0.0228286
+0.0242256
+0.0226427
+0.0209684
+0.0191989
+0.0174033
+0.0155873
+0.0138316
+0.012119
+0.0104619
+0.00893286
+0.00733849
+0.00580893
+0.00459086
+0.0036252
+0.00215007
+0.00102828
+0.000170204
+-0.000624417
+-0.000529617
+0.000360772
+0.000560891
+-0.00079992
+-0.000407351
+0.00136783
+0.0033516
+0.00527309
+0.00562189
+0.00601879
+0.00647366
+0.0068293
+0.00637379
+0.0054063
+0.0034134
+0.00163278
+0.000161894
+-9.93131e-05
+0.00139292
+0.00317161
+0.00385769
+0.0039308
+0.00329469
+0.00241111
+0.00181869
+0.00125094
+0.000367728
+-0.000520561
+-0.000563052
+0.000652127
+0.00187828
+0.00318686
+0.0044098
+0.00580315
+0.00731708
+0.00884102
+0.0104663
+0.00922062
+0.0073864
+0.0057735
+0.00463819
+0.00419832
+0.00471659
+0.00564642
+0.0069682
+0.00781064
+0.00568666
+0.0036302
+0.00163363
+0.00010596
+0.000838569
+0.00281505
+0.00467529
+0.00645175
+0.00810066
+0.00958847
+0.00779669
+0.00583859
+0.00404344
+0.00250656
+0.00148097
+0.000649658
+5.36144e-05
+0.00142408
+0.00261608
+0.00221056
+0.00108768
+0.000384438
+-0.0009675
+-0.000311536
+0.00138788
+0.00319113
+0.00505341
+0.00702236
+0.00899979
+0.0109306
+0.0129431
+0.0150056
+0.016824
+0.0184748
+0.0202148
+0.0220233
+0.0229939
+0.0214347
+0.0199316
+0.0182136
+0.016477
+0.0147692
+0.0129404
+0.0111691
+0.00945012
+0.0078699
+0.00629694
+0.00460095
+0.00329084
+0.00253047
+0.00075483
+-0.000355229
+-0.000874051
+-0.000228284
+0.000713257
+0.00163499
+0.000464718
+0.000131785
+0.000894653
+0.00255815
+0.00438654
+0.00626761
+0.00697356
+0.00743105
+0.00795848
+0.00810862
+0.00698037
+0.00509217
+0.00322212
+0.00156948
+0.000470066
+0.000744772
+0.00224071
+0.00407116
+0.00494413
+0.0049566
+0.00431544
+0.00339684
+0.00288612
+0.00230548
+0.00146575
+0.000513641
+-0.000756233
+8.82969e-05
+0.00132878
+0.00274166
+0.00405681
+0.00550243
+0.00697229
+0.00851829
+0.00966514
+0.00834833
+0.00678369
+0.00492154
+0.00340783
+0.00258925
+0.00279018
+0.00392897
+0.00547245
+0.00691101
+0.0063029
+0.00447437
+0.00293857
+0.00218835
+0.00261975
+0.0039146
+0.00572418
+0.00767029
+0.00932338
+0.0103794
+0.00842095
+0.00655336
+0.00482919
+0.00345204
+0.00254727
+0.00130636
+0.00123431
+0.00209761
+0.00356841
+0.00320833
+0.00217681
+0.00177738
+0.000224394
+-0.00141461
+0.000342004
+0.00216297
+0.00412604
+0.00617536
+0.00814991
+0.0101572
+0.0122192
+0.0143193
+0.0159729
+0.0176853
+0.0194776
+0.0213318
+0.021613
+0.0200564
+0.0185883
+0.0171776
+0.0155258
+0.0137987
+0.012118
+0.0104119
+0.00870347
+0.00704094
+0.00549911
+0.00390807
+0.00254915
+0.00232074
+0.000664342
+-0.00011892
+0.000489132
+0.00124429
+0.00212773
+0.00188841
+0.00102842
+0.00119879
+0.00227488
+0.00382115
+0.0055419
+0.00741839
+0.00838751
+0.00888949
+0.00956207
+0.00863227
+0.00670558
+0.00484698
+0.00318945
+0.00176393
+0.00119348
+0.00170015
+0.00320302
+0.00496872
+0.00595679
+0.00592616
+0.00509739
+0.00435135
+0.00390095
+0.00337094
+0.0025568
+0.001532
+0.000440923
+-0.000284645
+0.00113596
+0.0025637
+0.0040273
+0.00559626
+0.00702301
+0.00858207
+0.00826282
+0.00667949
+0.00550277
+0.00394553
+0.00199527
+0.000602521
+0.00103085
+0.00245426
+0.003827
+0.0051828
+0.0067128
+0.0059141
+0.00479972
+0.00433139
+0.00465186
+0.00557175
+0.00700609
+0.00872261
+0.0104942
+0.0104905
+0.00859386
+0.00682255
+0.00519514
+0.00386749
+0.00287443
+0.00199629
+0.00199607
+0.00279783
+0.00424304
+0.00412324
+0.00344962
+0.00309533
+0.00131596
+-0.000586142
+-0.000694997
+0.00130515
+0.00327725
+0.00530615
+0.00742375
+0.00944896
+0.0115189
+0.0136141
+0.0153324
+0.0170738
+0.0189071
+0.0208097
+0.0203274
+0.0187091
+0.0171754
+0.0157384
+0.0144199
+0.0129754
+0.0112706
+0.00959514
+0.00808141
+0.00661373
+0.00518969
+0.00389127
+0.00279207
+0.00279535
+0.00252109
+0.00181467
+0.0020918
+0.00268496
+0.00330251
+0.00232319
+0.00211651
+0.0024441
+0.00362476
+0.00511778
+0.00682753
+0.00855098
+0.00980301
+0.0104241
+0.0103098
+0.00830922
+0.00643129
+0.0047356
+0.00329205
+0.00227025
+0.00208709
+0.00285103
+0.00416859
+0.00593739
+0.00685479
+0.00666515
+0.00591535
+0.00526892
+0.00490175
+0.00443465
+0.00375175
+0.00297371
+0.00217939
+0.00187158
+0.00244638
+0.00347033
+0.00467944
+0.00618219
+0.00751803
+0.00810157
+0.00700961
+0.00535492
+0.00385211
+0.00288322
+0.00134312
+-0.000202097
+-0.000144392
+0.000824601
+0.00214849
+0.00365909
+0.00552381
+0.00756245
+0.00682592
+0.00649176
+0.00671532
+0.00749786
+0.00862391
+0.0100992
+0.0117183
+0.0107979
+0.00896492
+0.00727071
+0.0057055
+0.0044683
+0.00353888
+0.0026856
+0.00267385
+0.00338186
+0.00473905
+0.00520865
+0.00466392
+0.00426975
+0.00244629
+0.000591702
+-0.00114617
+0.000456744
+0.00252164
+0.00459152
+0.00670415
+0.0087759
+0.0108444
+0.012952
+0.0149029
+0.0166872
+0.0185587
+0.0204936
+0.0190935
+0.0174172
+0.0158132
+0.0143442
+0.0129537
+0.0117066
+0.0106318
+0.00902781
+0.00747939
+0.006148
+0.00532319
+0.00455054
+0.00397861
+0.00404088
+0.00444043
+0.00398415
+0.00389998
+0.00396687
+0.00351368
+0.00290698
+0.00331478
+0.00390885
+0.00495873
+0.00643058
+0.00804915
+0.00979823
+0.0112206
+0.0120509
+0.0102669
+0.00836241
+0.00656944
+0.00489461
+0.0035548
+0.00287806
+0.0029464
+0.00365002
+0.00496476
+0.00664242
+0.00771156
+0.00767044
+0.00695988
+0.00654991
+0.00619221
+0.00581986
+0.00532406
+0.00475826
+0.00422677
+0.0040616
+0.0044135
+0.00513748
+0.00601422
+0.00727781
+0.00836238
+0.00675168
+0.0053519
+0.00411492
+0.00274589
+0.00124607
+5.72501e-05
+-0.00140786
+-0.00175768
+-0.000550436
+0.000747174
+0.00280311
+0.00495189
+0.00664451
+0.00816639
+0.0086666
+0.00883629
+0.00950509
+0.0104453
+0.0116986
+0.0130299
+0.0112199
+0.00946925
+0.00784801
+0.00639001
+0.00521701
+0.00425585
+0.00346216
+0.00338047
+0.00401747
+0.00530672
+0.00620108
+0.00602124
+0.00548515
+0.00361974
+0.0017803
+-0.00031103
+-0.000221314
+0.00189179
+0.00394624
+0.00604979
+0.008192
+0.0102813
+0.0123452
+0.0143833
+0.016274
+0.0180778
+0.0199592
+0.0180314
+0.0162462
+0.0145722
+0.0130107
+0.011562
+0.0102953
+0.00914608
+0.00830106
+0.00730083
+0.00603789
+0.00524834
+0.00511305
+0.00558006
+0.00576672
+0.00649174
+0.00616865
+0.0056139
+0.0045777
+0.00387644
+0.00374381
+0.00432882
+0.00533062
+0.00644923
+0.00782586
+0.00937013
+0.0110136
+0.0124121
+0.012521
+0.0106086
+0.0087415
+0.00695706
+0.00532193
+0.00408524
+0.00354166
+0.00383581
+0.00466434
+0.0058469
+0.0073938
+0.00870422
+0.00902391
+0.0084419
+0.0081093
+0.00782117
+0.00752116
+0.00716583
+0.00674306
+0.00634384
+0.00625188
+0.00650524
+0.00709525
+0.00772992
+0.00841979
+0.00720364
+0.00571759
+0.00405429
+0.00236767
+0.0011007
+5.96228e-05
+-0.0017133
+-0.00301541
+-0.00318059
+-0.0011054
+0.000301696
+0.00193114
+0.00357573
+0.00509016
+0.00695465
+0.00895411
+0.0109847
+0.0115295
+0.0123854
+0.0134592
+0.0134595
+0.0116844
+0.0100257
+0.00858754
+0.007269
+0.00621878
+0.00504571
+0.00418644
+0.00407372
+0.00469544
+0.00579493
+0.00691523
+0.00730078
+0.0057247
+0.00358985
+0.00153868
+-9.02611e-05
+-0.000799062
+0.00130915
+0.00346057
+0.00560811
+0.00770374
+0.00974954
+0.0117836
+0.0137164
+0.0154466
+0.0172687
+0.0191681
+0.0171397
+0.0153005
+0.0135098
+0.0118541
+0.0103295
+0.00895466
+0.00782974
+0.00685559
+0.00623773
+0.00591922
+0.00571388
+0.00566037
+0.00625969
+0.00726032
+0.00829216
+0.00732255
+0.00601269
+0.00514475
+0.00472945
+0.00469095
+0.00531464
+0.00644969
+0.00784025
+0.00923026
+0.0107209
+0.0123771
+0.0137924
+0.0129296
+0.0110424
+0.00921758
+0.00751969
+0.00602504
+0.00486013
+0.00431215
+0.00460796
+0.00552108
+0.0066396
+0.00816437
+0.00994122
+0.0104973
+0.0100923
+0.00990999
+0.0096745
+0.00941526
+0.00915284
+0.0088258
+0.00849505
+0.00844222
+0.00864543
+0.00899846
+0.00782442
+0.00672439
+0.00570161
+0.00468251
+0.0030209
+0.00133941
+-0.000342756
+-0.0018261
+-0.00298205
+-0.00472688
+-0.00399192
+-0.00250948
+-0.00106464
+0.000554106
+0.00207986
+0.00409053
+0.00614746
+0.00819493
+0.0103015
+0.0124372
+0.0143703
+0.0153264
+0.014017
+0.0123014
+0.0107143
+0.00928777
+0.00809206
+0.00695869
+0.0057737
+0.00496926
+0.0047824
+0.00525825
+0.0062444
+0.00767067
+0.00785164
+0.00568765
+0.00354635
+0.0014263
+-0.00068363
+-0.00126411
+0.000836725
+0.00295972
+0.0051229
+0.00730221
+0.00940709
+0.0111271
+0.0128464
+0.0146656
+0.0165416
+0.0184869
+0.0161887
+0.0144086
+0.012636
+0.0108767
+0.00927793
+0.0079248
+0.00669585
+0.00575659
+0.00514831
+0.00502814
+0.00547685
+0.00641414
+0.00703722
+0.00803622
+0.00934572
+0.00801785
+0.00679817
+0.0060084
+0.00582339
+0.00597912
+0.0065295
+0.00757327
+0.00898698
+0.0106114
+0.0121348
+0.0136709
+0.0152655
+0.013507
+0.0116154
+0.00982533
+0.00823136
+0.00694504
+0.00599593
+0.00556954
+0.00580814
+0.00650417
+0.00761745
+0.00904278
+0.0106748
+0.0120003
+0.0119146
+0.0118253
+0.0116253
+0.0114039
+0.0112044
+0.010939
+0.0106621
+0.00996298
+0.00845457
+0.00730047
+0.00619384
+0.00502554
+0.00401769
+0.00304491
+0.00211579
+0.00043532
+-0.00153735
+-0.00337887
+-0.00471476
+-0.00606006
+-0.00551942
+-0.00407852
+-0.00243518
+-0.00066022
+0.0012701
+0.00343254
+0.0056169
+0.00780482
+0.00976641
+0.0115438
+0.0129747
+0.0138701
+0.0147016
+0.0130313
+0.0115021
+0.0101022
+0.00891129
+0.00744625
+0.0062874
+0.00561373
+0.00550616
+0.0060213
+0.00690233
+0.00821488
+0.00813142
+0.00600159
+0.00391564
+0.00183399
+-0.000223129
+-0.00165888
+0.000470709
+0.00254938
+0.00465622
+0.00676605
+0.00873747
+0.0103396
+0.0121089
+0.0139853
+0.0159395
+0.0178988
+0.0151532
+0.0133294
+0.0115794
+0.00995449
+0.00839497
+0.00692549
+0.00572014
+0.00484136
+0.0043754
+0.00442839
+0.00516656
+0.00623719
+0.00768245
+0.00900185
+0.00954405
+0.00877601
+0.0080332
+0.00731487
+0.00712708
+0.00745517
+0.00797722
+0.00890421
+0.0101945
+0.0117021
+0.013373
+0.0151108
+0.0150912
+0.0132199
+0.0114622
+0.0098792
+0.00853667
+0.00752513
+0.00690676
+0.00666454
+0.00690907
+0.00767161
+0.00871287
+0.0101099
+0.0116914
+0.0133929
+0.0138442
+0.0137675
+0.0136304
+0.0134355
+0.0132965
+0.0121133
+0.0104719
+0.00871739
+0.00708426
+0.00565719
+0.0045852
+0.00336883
+0.00215523
+0.00151131
+0.000392909
+-0.000313651
+-0.00171311
+-0.00363925
+-0.00561204
+-0.00767117
+-0.00651592
+-0.00433575
+-0.00217681
+-9.858e-05
+0.00188879
+0.00363429
+0.00499388
+0.00669613
+0.00854184
+0.0104728
+0.0113594
+0.0123723
+0.0134699
+0.0138843
+0.0123564
+0.0109248
+0.00931706
+0.00793514
+0.0069027
+0.00633204
+0.00633694
+0.00691998
+0.00780094
+0.00896001
+0.00867302
+0.00661224
+0.00457139
+0.0025308
+0.000499735
+-0.00137371
+-9.3549e-05
+0.00204448
+0.00408278
+0.00619384
+0.00803103
+0.00961277
+0.0113979
+0.0132588
+0.0152052
+0.0172104
+0.0142335
+0.0123509
+0.0105425
+0.00884806
+0.00730064
+0.00592751
+0.00486093
+0.00420463
+0.0039149
+0.00412064
+0.00491313
+0.00622544
+0.00782789
+0.00950301
+0.00972929
+0.00897711
+0.00872446
+0.00891339
+0.00872056
+0.00899949
+0.00958606
+0.0104358
+0.0115834
+0.012959
+0.0145233
+0.0162213
+0.0148647
+0.0129731
+0.0111767
+0.00954645
+0.00818223
+0.00715467
+0.00665901
+0.00673149
+0.00730252
+0.00831365
+0.0096559
+0.0110605
+0.0126523
+0.0143719
+0.0158418
+0.0157748
+0.0156836
+0.0144669
+0.0126096
+0.0108561
+0.00908057
+0.00743441
+0.00572496
+0.00420388
+0.00283745
+0.00163081
+0.000726365
+-0.000130966
+-0.00102695
+-0.00136623
+-0.00207199
+-0.00358152
+-0.00549674
+-0.00754644
+-0.00670061
+-0.00459813
+-0.00253456
+-0.000565413
+0.000792797
+0.0019035
+0.00365336
+0.00559494
+0.00751963
+0.00920249
+0.00995612
+0.0109839
+0.0121286
+0.0132338
+0.0130669
+0.011601
+0.0100815
+0.00881377
+0.00791692
+0.00746717
+0.00751551
+0.00803776
+0.00891361
+0.0100582
+0.00941643
+0.00741369
+0.00539263
+0.00345513
+0.00145729
+-0.000495963
+-0.000442127
+0.00156026
+0.00364822
+0.0056848
+0.00710785
+0.00883226
+0.0107258
+0.0126847
+0.0147073
+0.0167155
+0.0133793
+0.0114483
+0.00956677
+0.00782277
+0.00619086
+0.00483893
+0.00384319
+0.00339898
+0.00353946
+0.00426327
+0.00522793
+0.00655753
+0.00813115
+0.00992178
+0.010299
+0.00959165
+0.0093556
+0.0095934
+0.0102416
+0.0107154
+0.011244
+0.0120774
+0.0131201
+0.0143876
+0.0158197
+0.0168497
+0.0149017
+0.0130257
+0.0112377
+0.00961784
+0.00826542
+0.00723312
+0.00673393
+0.00680028
+0.00745945
+0.0085791
+0.0099897
+0.011632
+0.0133529
+0.015188
+0.0170005
+0.0176894
+0.0156032
+0.0135489
+0.011545
+0.00962275
+0.00783675
+0.00611369
+0.00446462
+0.00287074
+0.00125157
+0.000182888
+-0.000741641
+-0.00154559
+-0.00216683
+-0.00247692
+-0.00313545
+-0.00434412
+-0.00607826
+-0.00802421
+-0.00742168
+-0.00548914
+-0.00360296
+-0.00206288
+-0.00117753
+0.000723609
+0.00269001
+0.00475254
+0.00689453
+0.0079458
+0.00881968
+0.00978604
+0.0107618
+0.0119936
+0.0134401
+0.0123206
+0.0111166
+0.0100508
+0.00923951
+0.00884941
+0.00889081
+0.00942692
+0.0101919
+0.0112337
+0.0102897
+0.00833909
+0.00635493
+0.0043317
+0.00224997
+0.000102201
+-0.000836172
+0.00119246
+0.00326089
+0.00477808
+0.00637154
+0.00816791
+0.0100194
+0.0119041
+0.013805
+0.015753
+0.0126629
+0.010673
+0.00875829
+0.00693787
+0.00522792
+0.00381967
+0.00287506
+0.00260863
+0.00313922
+0.00412987
+0.00557718
+0.00717056
+0.00886539
+0.0105569
+0.0112346
+0.0106001
+0.010387
+0.0105996
+0.0112099
+0.0121579
+0.0130356
+0.0137857
+0.0147997
+0.0159551
+0.0172925
+0.0171401
+0.0152293
+0.0133993
+0.0116687
+0.010118
+0.00882376
+0.00783668
+0.00736146
+0.00743609
+0.00806268
+0.00912378
+0.0105386
+0.0121284
+0.0138663
+0.0157177
+0.017647
+0.0169014
+0.0148294
+0.012797
+0.0108244
+0.00874522
+0.00673708
+0.00484525
+0.00328866
+0.00156816
+0.000229481
+-0.00136789
+-0.0025832
+-0.00319105
+-0.0032903
+-0.0033818
+-0.00408336
+-0.00527212
+-0.00689291
+-0.00872779
+-0.00847337
+-0.00666601
+-0.00513375
+-0.00382404
+-0.00175223
+0.000189623
+0.00237179
+0.00455607
+0.00663555
+0.00711335
+0.00778849
+0.00870047
+0.00970206
+0.0110282
+0.0125597
+0.0122691
+0.0111217
+0.0101956
+0.00958811
+0.00942302
+0.00971297
+0.0104082
+0.0113322
+0.0125315
+0.0112252
+0.00910838
+0.00696549
+0.00486099
+0.00277115
+0.000679136
+-0.00119605
+0.000747808
+0.0025925
+0.00392812
+0.00544492
+0.0072084
+0.00904323
+0.0109806
+0.0129764
+0.0149981
+0.0120582
+0.0100116
+0.00803476
+0.00612487
+0.00437544
+0.00293339
+0.00208774
+0.00210457
+0.00293543
+0.00425953
+0.00581865
+0.00750546
+0.00931165
+0.0111601
+0.0124488
+0.011877
+0.0116872
+0.0118788
+0.012445
+0.0133182
+0.0144598
+0.0156149
+0.016517
+0.0176442
+0.018873
+0.017699
+0.015854
+0.0140861
+0.0124511
+0.011011
+0.00977884
+0.00889834
+0.0084737
+0.00853577
+0.00911266
+0.0100958
+0.0113912
+0.0129303
+0.0146151
+0.0163821
+0.0182412
+0.0163707
+0.0142216
+0.0120874
+0.00997779
+0.00791231
+0.00593728
+0.00410378
+0.0021395
+0.00041412
+-0.00120235
+-0.00263588
+-0.00378092
+-0.00466139
+-0.00452856
+-0.00480812
+-0.00557184
+-0.00658316
+-0.00797308
+-0.00962527
+-0.00974992
+-0.00807237
+-0.00588649
+-0.00370633
+-0.00154488
+0.000588541
+0.00249013
+0.00426069
+0.00603834
+0.00627278
+0.00681223
+0.00774488
+0.0087759
+0.0101068
+0.0113665
+0.0125299
+0.0113274
+0.0104257
+0.00989022
+0.00975505
+0.0100637
+0.0107461
+0.0118016
+0.0131405
+0.0117873
+0.00969781
+0.00763799
+0.00552627
+0.00348135
+0.00151074
+-0.000414367
+0.000427766
+0.00174701
+0.00286324
+0.00443959
+0.00626964
+0.00825838
+0.0102757
+0.0123506
+0.0144563
+0.0115651
+0.00950471
+0.00751842
+0.00553454
+0.00371994
+0.00228229
+0.00158533
+0.0019382
+0.00314896
+0.00466444
+0.00639366
+0.00813535
+0.00993058
+0.0117798
+0.0136361
+0.0133927
+0.0132246
+0.0133962
+0.0139008
+0.0147045
+0.0157571
+0.0170103
+0.0183355
+0.019359
+0.0203318
+0.0184716
+0.0166918
+0.015021
+0.0134998
+0.0121843
+0.0110832
+0.0103146
+0.00995059
+0.00999999
+0.0105001
+0.0113638
+0.0125288
+0.0139429
+0.0155382
+0.0172646
+0.017994
+0.0158876
+0.0138076
+0.01166
+0.00951345
+0.0073751
+0.00521459
+0.00307194
+0.00112807
+-0.000334541
+-0.00230381
+-0.00395221
+-0.00517458
+-0.00583954
+-0.00552443
+-0.00557942
+-0.00619711
+-0.00731716
+-0.00878629
+-0.0105092
+-0.010586
+-0.00843638
+-0.0063045
+-0.00420516
+-0.00217523
+-0.000331073
+0.00121971
+0.00303593
+0.00500831
+0.00576179
+0.00624848
+0.00694323
+0.00806252
+0.00911895
+0.0104879
+0.0117444
+0.0119111
+0.0110268
+0.0105189
+0.0103693
+0.0106763
+0.0113395
+0.0123488
+0.0136341
+0.0124537
+0.0103969
+0.00837342
+0.0064485
+0.00446472
+0.00257905
+0.000684485
+-0.000153521
+0.000726929
+0.00197821
+0.00373381
+0.00570753
+0.00777017
+0.00988436
+0.0120258
+0.0141749
+0.0112763
+0.00916317
+0.00709717
+0.00513325
+0.00342361
+0.00201261
+0.00162662
+0.00230922
+0.00378764
+0.00534548
+0.00709822
+0.00892648
+0.0107998
+0.012637
+0.014483
+0.0150752
+0.0149261
+0.0150801
+0.0155301
+0.0162575
+0.0172154
+0.0183856
+0.0197119
+0.0211557
+0.0212178
+0.0194426
+0.0177604
+0.0162002
+0.0148006
+0.0136114
+0.0126319
+0.0119632
+0.0116543
+0.0116935
+0.0121268
+0.012882
+0.0139205
+0.0152057
+0.0166807
+0.0182996
+0.0175673
+0.0154028
+0.0132468
+0.0111044
+0.00898531
+0.00691103
+0.00478946
+0.00263868
+0.00062957
+-0.00108325
+-0.00310263
+-0.00501669
+-0.00645251
+-0.00665733
+-0.00618707
+-0.00618543
+-0.00673693
+-0.00782108
+-0.00885679
+-0.00984497
+-0.0110607
+-0.00907603
+-0.00706175
+-0.00514013
+-0.00342105
+-0.00174101
+0.000214419
+0.00219435
+0.00418092
+0.00581498
+0.0059128
+0.0064747
+0.0074448
+0.00847124
+0.00958905
+0.0109071
+0.0123292
+0.0119716
+0.0114884
+0.011351
+0.011632
+0.0122696
+0.0132081
+0.014417
+0.0130221
+0.010911
+0.00879888
+0.00673111
+0.00473067
+0.00292512
+0.0012196
+-0.000700927
+-5.30427e-05
+0.00166767
+0.00353149
+0.0055763
+0.00767312
+0.00979349
+0.0119393
+0.0140989
+0.0113582
+0.00926077
+0.00720651
+0.00525991
+0.00360523
+0.00243839
+0.00249062
+0.00320176
+0.00453616
+0.00630094
+0.00807315
+0.00984609
+0.0117178
+0.0135779
+0.0154531
+0.0168748
+0.0167417
+0.0168807
+0.0172839
+0.0179403
+0.0188127
+0.0198892
+0.0211386
+0.0225159
+0.0222847
+0.0206016
+0.0190221
+0.0175743
+0.0162933
+0.0151927
+0.0143099
+0.0137233
+0.0134715
+0.0135201
+0.0139029
+0.0145723
+0.015498
+0.0166619
+0.0180181
+0.0195264
+0.017408
+0.0152208
+0.0130347
+0.0108505
+0.00866962
+0.0064953
+0.00433749
+0.00224433
+0.000493718
+-0.00142709
+-0.00348257
+-0.00551227
+-0.00739828
+-0.00642338
+-0.00547749
+-0.00496593
+-0.00518239
+-0.0059427
+-0.00688381
+-0.007998
+-0.00940527
+-0.0100207
+-0.00818363
+-0.00642182
+-0.00430797
+-0.00232308
+-0.000408777
+0.0014493
+0.00339062
+0.00545108
+0.00571849
+0.00590702
+0.00680095
+0.00781541
+0.00877228
+0.0100198
+0.0115516
+0.0131397
+0.0127212
+0.0125972
+0.0128511
+0.0134551
+0.0143122
+0.0153168
+0.0131767
+0.0110564
+0.00896995
+0.00694801
+0.00501341
+0.00320397
+0.00170081
+-7.6121e-05
+-0.000144714
+0.00146142
+0.00341832
+0.00550666
+0.00765149
+0.00981659
+0.011991
+0.0141704
+0.0117837
+0.00976693
+0.00784394
+0.00607024
+0.00459836
+0.00374247
+0.00374543
+0.00462606
+0.00585927
+0.00736469
+0.0090879
+0.0109505
+0.0127388
+0.0145845
+0.0164591
+0.0183444
+0.0186381
+0.0187645
+0.019128
+0.0197231
+0.0205199
+0.0215111
+0.0226713
+0.0239759
+0.0235078
+0.0219188
+0.0204414
+0.0191015
+0.017923
+0.0168994
+0.0161105
+0.0155917
+0.0153706
+0.0154123
+0.0157491
+0.0163746
+0.0172102
+0.0182654
+0.0195104
+0.0195401
+0.0173808
+0.0152304
+0.0130934
+0.0109776
+0.0088059
+0.00663232
+0.00447071
+0.00231535
+0.000186466
+-0.00191386
+-0.00401519
+-0.00595665
+-0.0064712
+-0.0049268
+-0.00360823
+-0.00287021
+-0.00307681
+-0.00401869
+-0.00496765
+-0.00631082
+-0.00788203
+-0.00881233
+-0.00802406
+-0.00697868
+-0.00503536
+-0.00311768
+-0.00117575
+0.000825171
+0.0029705
+0.00510287
+0.00552358
+0.00561239
+0.00619378
+0.0071088
+0.00824515
+0.00956174
+0.0110585
+0.0126239
+0.014182
+0.0140709
+0.0142986
+0.0148438
+0.0156249
+0.0156863
+0.0136044
+0.0115578
+0.00954923
+0.00763398
+0.00573444
+0.00408057
+0.00217632
+3.1065e-05
+-0.000756411
+0.00103791
+0.00315605
+0.00533126
+0.00751547
+0.00970259
+0.011891
+0.0140802
+0.0125717
+0.0106964
+0.0089173
+0.00736322
+0.00617624
+0.00548956
+0.00547091
+0.0061571
+0.00739558
+0.0087859
+0.0103026
+0.0120258
+0.0138418
+0.01571
+0.0175166
+0.0194026
+0.020593
+0.0207087
+0.0210386
+0.0215812
+0.0223117
+0.0232265
+0.024305
+0.0255262
+0.0248641
+0.0233676
+0.0219877
+0.0207479
+0.0196368
+0.0187073
+0.0179978
+0.017535
+0.0173386
+0.0173747
+0.0176742
+0.0182338
+0.0190209
+0.0199807
+0.0211249
+0.0195186
+0.0173362
+0.0151561
+0.0129795
+0.0108075
+0.00864197
+0.00648951
+0.00437073
+0.00223635
+0.000179906
+-0.00191421
+-0.00404602
+-0.00577593
+-0.00495561
+-0.0034275
+-0.00183934
+-0.00079218
+-0.00104604
+-0.00200854
+-0.00322111
+-0.0048068
+-0.00632306
+-0.00691841
+-0.0063569
+-0.00559758
+-0.00488544
+-0.0028156
+-0.000779089
+0.00121958
+0.00320706
+0.00525535
+0.00580355
+0.00547528
+0.00582343
+0.00675234
+0.00784418
+0.00908451
+0.0105609
+0.0121659
+0.0137517
+0.0154858
+0.0159061
+0.0164031
+0.0171183
+0.0163215
+0.0143104
+0.0123479
+0.0104124
+0.00857775
+0.00686519
+0.00467982
+0.00249764
+0.000318749
+-0.000594288
+0.00133542
+0.00343909
+0.00556767
+0.00771365
+0.00987887
+0.0120533
+0.0142327
+0.0136339
+0.0118905
+0.0103192
+0.00901024
+0.00799619
+0.00745212
+0.00743839
+0.00798993
+0.00899852
+0.010353
+0.0117764
+0.0133128
+0.0150125
+0.016807
+0.0186707
+0.0204977
+0.0223468
+0.0226979
+0.0229993
+0.0234966
+0.0241693
+0.0250163
+0.0260207
+0.0271649
+0.0263331
+0.0249249
+0.0236361
+0.0224681
+0.0214377
+0.0205897
+0.0199472
+0.0195306
+0.0193546
+0.0193861
+0.0196549
+0.0201596
+0.0208831
+0.0217814
+0.0216413
+0.0194512
+0.0172612
+0.0150714
+0.0128819
+0.010693
+0.00850424
+0.00631552
+0.00412806
+0.00194786
+-0.000212807
+-0.00226759
+-0.00417139
+-0.00485473
+-0.00352527
+-0.00196951
+-0.000358005
+0.00122498
+0.000735307
+-0.000136363
+-0.00172721
+-0.00327225
+-0.00453488
+-0.00506498
+-0.0045976
+-0.00394834
+-0.00325193
+-0.00205037
+-0.000239396
+0.00167942
+0.00359449
+0.00566819
+0.0062268
+0.00579287
+0.0061066
+0.00662965
+0.00766564
+0.0089308
+0.0104105
+0.0119742
+0.0135345
+0.0151746
+0.0168073
+0.0180677
+0.0187428
+0.0171595
+0.0152053
+0.0133248
+0.0114187
+0.00923121
+0.00704572
+0.00486469
+0.00268625
+0.000509605
+7.30352e-05
+0.00200893
+0.00402441
+0.00612667
+0.00822033
+0.01032
+0.0124477
+0.0145817
+0.0149147
+0.0133398
+0.0119604
+0.0108108
+0.00996646
+0.00951478
+0.00950403
+0.00996825
+0.0107935
+0.011968
+0.0133743
+0.0148111
+0.0163558
+0.0180349
+0.0198119
+0.0216395
+0.023509
+0.0247212
+0.0249982
+0.0254565
+0.0260787
+0.0268655
+0.0278032
+0.0288769
+0.0278969
+0.0265717
+0.0253618
+0.0242566
+0.0233055
+0.0225278
+0.0219422
+0.0215642
+0.0214049
+0.0214326
+0.0216761
+0.0221348
+0.0227956
+0.0236417
+0.0217098
+0.0195285
+0.0173497
+0.0151743
+0.0130041
+0.0108278
+0.00864058
+0.00645422
+0.00426983
+0.00209352
+-2.76576e-05
+-0.00213757
+-0.00406472
+-0.0034745
+-0.0020908
+-0.000597724
+0.00098133
+0.00266648
+0.00274315
+0.00134924
+-0.000206287
+-0.00169195
+-0.00270663
+-0.00324454
+-0.00297614
+-0.00224855
+-0.00156087
+-0.000495013
+0.000821871
+0.00250938
+0.00437362
+0.0062954
+0.00671942
+0.0064069
+0.00647549
+0.00678601
+0.00757888
+0.00879477
+0.0102919
+0.0117594
+0.0132762
+0.0148029
+0.0164546
+0.0182203
+0.0200493
+0.0181418
+0.0159969
+0.0138309
+0.0116743
+0.00951951
+0.00736253
+0.00523361
+0.00318718
+0.00135532
+0.00115835
+0.00285113
+0.00483366
+0.00689021
+0.00888903
+0.0109339
+0.0130264
+0.0151416
+0.0163894
+0.0149705
+0.0137479
+0.0127225
+0.0120133
+0.0116244
+0.0116156
+0.0120131
+0.0127132
+0.0137244
+0.0149896
+0.0164243
+0.0178676
+0.0194163
+0.0210792
+0.0228314
+0.0246402
+0.0264963
+0.0270269
+0.0274513
+0.0280292
+0.0287628
+0.0296405
+0.0306499
+0.0295404
+0.0282923
+0.0271365
+0.0261066
+0.0252252
+0.0245086
+0.0239714
+0.0236259
+0.0234805
+0.0235052
+0.0237274
+0.0241472
+0.0247543
+0.0240135
+0.0218273
+0.0196421
+0.0174583
+0.0152764
+0.0130974
+0.0109231
+0.0087569
+0.00660677
+0.0044959
+0.00249442
+0.000409971
+-0.00129429
+-0.00213599
+-0.00169795
+-0.000599869
+0.000786411
+0.00236159
+0.0037981
+0.00441038
+0.00286076
+0.00134345
+0.000118997
+-0.000851877
+-0.00138389
+-0.00105906
+-0.000501222
+0.000279303
+0.00120122
+0.00229355
+0.00366659
+0.00528848
+0.00708617
+0.00740353
+0.00700407
+0.00705491
+0.00727298
+0.00802578
+0.00913767
+0.0103929
+0.0118013
+0.0131955
+0.0147305
+0.0163895
+0.0181615
+0.0200109
+0.0185235
+0.0163802
+0.0142514
+0.0121446
+0.0100737
+0.00806632
+0.00614114
+0.00441402
+0.00329178
+0.003178
+0.00421518
+0.00585599
+0.00772222
+0.00971351
+0.0117412
+0.0137777
+0.0157974
+0.0180104
+0.0167295
+0.0156075
+0.0147123
+0.0141035
+0.0137594
+0.0137519
+0.0140893
+0.0147088
+0.0155911
+0.0167157
+0.0180372
+0.0194894
+0.0209363
+0.0224871
+0.0241373
+0.0258679
+0.0276618
+0.0290715
+0.0294739
+0.0300129
+0.0306991
+0.0315229
+0.0324739
+0.0312512
+0.0300598
+0.0289682
+0.0280057
+0.027186
+0.0265224
+0.0260268
+0.0257089
+0.0255754
+0.0255975
+0.0258017
+0.0261882
+0.0264127
+0.024245
+0.0220818
+0.0199245
+0.0177754
+0.0156378
+0.0135172
+0.0114231
+0.00937316
+0.00731624
+0.00525629
+0.00328948
+0.00161301
+0.000627097
+-0.000349615
+0.000141912
+0.00107455
+0.00230878
+0.00366601
+0.00525255
+0.00593646
+0.00440109
+0.00300321
+0.0019412
+0.00100856
+0.000552754
+0.000844146
+0.00131516
+0.00207162
+0.00295213
+0.00393022
+0.00513055
+0.00646293
+0.0080716
+0.00816644
+0.00798826
+0.00788525
+0.00813828
+0.00863185
+0.00949271
+0.0107074
+0.012036
+0.0134753
+0.0149817
+0.0166156
+0.0183658
+0.0201965
+0.0190677
+0.0169932
+0.0149519
+0.0129595
+0.0110258
+0.00917284
+0.00750419
+0.00617113
+0.00538383
+0.00530083
+0.0060305
+0.00729804
+0.00890882
+0.0107149
+0.0126146
+0.014596
+0.0166143
+0.0197417
+0.0185612
+0.0175436
+0.0167522
+0.0162146
+0.0159095
+0.0159031
+0.0161957
+0.0167532
+0.0175329
+0.0185401
+0.0197399
+0.021099
+0.0225559
+0.0240126
+0.0255645
+0.0272044
+0.0289174
+0.0306912
+0.0315184
+0.0320236
+0.0326676
+0.033443
+0.0342347
+0.033015
+0.0318741
+0.0308467
+0.0299446
+0.0291795
+0.0285622
+0.0281026
+0.0278085
+0.0276851
+0.0277049
+0.0278937
+0.0267462
+0.025466
+0.024316
+0.0225472
+0.0204391
+0.0183504
+0.0162884
+0.0142172
+0.0121435
+0.0101078
+0.00812193
+0.00626279
+0.00460803
+0.00332046
+0.00232522
+0.00149598
+0.0018803
+0.00266541
+0.00380785
+0.0051744
+0.00651348
+0.0074316
+0.00597396
+0.00478447
+0.00372735
+0.00281039
+0.00249718
+0.00266991
+0.00314145
+0.00382412
+0.00470952
+0.00559922
+0.00665218
+0.00786064
+0.00930278
+0.0090809
+0.00876346
+0.00891685
+0.00900746
+0.00942394
+0.0102386
+0.0113521
+0.0126205
+0.0140557
+0.0155058
+0.0171073
+0.0188179
+0.020599
+0.0198402
+0.0178556
+0.0159189
+0.0140282
+0.0122378
+0.010599
+0.00919294
+0.00814126
+0.00752215
+0.00746296
+0.00802541
+0.00902544
+0.01039
+0.0119849
+0.0137435
+0.0155916
+0.0175103
+0.0215555
+0.0204524
+0.0195336
+0.0188261
+0.0183386
+0.0180694
+0.0180637
+0.0183219
+0.0188302
+0.0195275
+0.0204366
+0.021531
+0.022784
+0.0241669
+0.0256292
+0.0270938
+0.0286463
+0.0302778
+0.0319763
+0.03357
+0.0340565
+0.0346628
+0.0353945
+0.0359891
+0.0348131
+0.033733
+0.032764
+0.0319162
+0.0311994
+0.0306229
+0.0301947
+0.0299211
+0.0297701
+0.0281777
+0.0266346
+0.0251708
+0.023806
+0.0225716
+0.0214901
+0.0205614
+0.0189912
+0.0169453
+0.0149405
+0.0129895
+0.0110943
+0.00927199
+0.00763955
+0.00621176
+0.0051315
+0.00409383
+0.00345748
+0.00371978
+0.00433823
+0.00534815
+0.00660942
+0.00804435
+0.00896581
+0.00772035
+0.00652127
+0.00547368
+0.00470124
+0.00439689
+0.0044684
+0.00494944
+0.005603
+0.00645253
+0.00735077
+0.0082802
+0.00940887
+0.0106908
+0.0100197
+0.009637
+0.00974378
+0.0099003
+0.0103616
+0.011184
+0.0122759
+0.0135012
+0.0149035
+0.0162859
+0.0178174
+0.0194651
+0.0211919
+0.0208136
+0.0189058
+0.0170648
+0.0153162
+0.0136953
+0.0122529
+0.0110592
+0.0102017
+0.00968391
+0.00963802
+0.0100798
+0.0109204
+0.0120726
+0.0134847
+0.01507
+0.0167914
+0.0186082
+0.0234099
+0.0223983
+0.0215626
+0.0209238
+0.0204766
+0.0202358
+0.0202308
+0.0204616
+0.0209206
+0.0215602
+0.0223869
+0.0233902
+0.0245485
+0.025841
+0.0272417
+0.028707
+0.0301785
+0.0317313
+0.0333558
+0.035042
+0.0361079
+0.0366803
+0.0373725
+0.0377776
+0.036654
+0.0356297
+0.0347137
+0.0339146
+0.033241
+0.0327005
+0.0319666
+0.030179
+0.0284478
+0.026784
+0.0251985
+0.0236723
+0.0222381
+0.0209114
+0.0197392
+0.0187443
+0.0179288
+0.0173405
+0.015881
+0.0140304
+0.0122895
+0.0106901
+0.00920952
+0.00797227
+0.00691598
+0.0060656
+0.00554928
+0.00573707
+0.00625842
+0.00706995
+0.00817332
+0.0094048
+0.0105903
+0.0092905
+0.00816315
+0.0073
+0.00669972
+0.00634883
+0.00634643
+0.00681441
+0.00738922
+0.00809409
+0.00911878
+0.00995332
+0.0110525
+0.0118189
+0.0111068
+0.0107628
+0.0107611
+0.010786
+0.0112461
+0.0120681
+0.0131178
+0.0143726
+0.0157627
+0.0172968
+0.0187579
+0.0203288
+0.0219879
+0.0219236
+0.0201202
+0.0184011
+0.0167922
+0.0153282
+0.0140545
+0.0130269
+0.0122905
+0.0118563
+0.0118188
+0.0121818
+0.0129092
+0.0138975
+0.0151404
+0.0165806
+0.0181595
+0.0198548
+0.025318
+0.0243858
+0.0236205
+0.0230388
+0.0226247
+0.0224071
+0.0224025
+0.0226112
+0.0230273
+0.0236212
+0.0243781
+0.0253025
+0.026377
+0.0275839
+0.0289067
+0.0303213
+0.0317876
+0.0332657
+0.0348187
+0.0364372
+0.038113
+0.0387166
+0.039373
+0.0396018
+0.0385314
+0.0375584
+0.0366906
+0.0359355
+0.0346939
+0.0327782
+0.0308946
+0.0290411
+0.0272377
+0.025495
+0.0238264
+0.0222486
+0.0207401
+0.019349
+0.0180777
+0.0169948
+0.0161127
+0.0154665
+0.015083
+0.0141688
+0.0133013
+0.0122407
+0.0109319
+0.00974253
+0.00863493
+0.00790432
+0.00762081
+0.00783823
+0.00826646
+0.00894383
+0.00982408
+0.0109965
+0.0121191
+0.0109483
+0.00992701
+0.00908502
+0.00857252
+0.00829798
+0.0082517
+0.00862568
+0.00922628
+0.00989966
+0.0107983
+0.0117775
+0.0126766
+0.0131139
+0.012444
+0.012138
+0.0119512
+0.0119846
+0.0124002
+0.0131604
+0.0141604
+0.0153617
+0.0167177
+0.0181714
+0.0197614
+0.0213813
+0.022966
+0.023187
+0.0214899
+0.0198896
+0.0184112
+0.0170864
+0.0159537
+0.0150563
+0.0144031
+0.0140344
+0.0140027
+0.0143104
+0.0149365
+0.0158156
+0.0169182
+0.0182185
+0.019677
+0.0212516
+0.0272687
+0.0264054
+0.0257003
+0.0251667
+0.0247803
+0.0245817
+0.0245776
+0.0247679
+0.0251484
+0.0257036
+0.0264009
+0.0272568
+0.0282571
+0.0293868
+0.0306319
+0.0319786
+0.0334042
+0.0348702
+0.0363547
+0.0379078
+0.0395212
+0.040768
+0.0413919
+0.0414616
+0.0404404
+0.0395145
+0.0378327
+0.0358171
+0.0338233
+0.0318553
+0.0299183
+0.0280187
+0.0261553
+0.0243353
+0.0225812
+0.0209096
+0.0193419
+0.0178641
+0.0165155
+0.0153225
+0.0143665
+0.0136769
+0.0132642
+0.012398
+0.0114497
+0.0107628
+0.0103849
+0.0103962
+0.0104561
+0.0098341
+0.00947386
+0.00942921
+0.00985165
+0.0106066
+0.0115667
+0.0120807
+0.0128178
+0.0127101
+0.0117135
+0.0109327
+0.0104184
+0.0101499
+0.0101461
+0.0104243
+0.0110518
+0.0117805
+0.0126123
+0.0133108
+0.0140997
+0.0145945
+0.013996
+0.0135775
+0.0133365
+0.0134169
+0.0137894
+0.0144873
+0.0153998
+0.0165144
+0.0178196
+0.0192556
+0.0207637
+0.022384
+0.0240889
+0.024581
+0.0229871
+0.0214985
+0.0201386
+0.0189351
+0.0179196
+0.0171255
+0.016536
+0.0162159
+0.0161885
+0.0164553
+0.0170026
+0.0177967
+0.0187834
+0.0192771
+0.019965
+0.0208571
+0.0292534
+0.0284503
+0.0277972
+0.0272992
+0.0269415
+0.026759
+0.0267552
+0.0269301
+0.0272805
+0.0277995
+0.0284485
+0.0292446
+0.030179
+0.0312394
+0.0324133
+0.0336889
+0.0350552
+0.0364898
+0.0379551
+0.0394452
+0.0409982
+0.0426073
+0.0434248
+0.0433522
+0.0413154
+0.0392341
+0.0371654
+0.0351115
+0.0330751
+0.0310597
+0.0290698
+0.0271108
+0.02519
+0.0233168
+0.0214877
+0.0197236
+0.0180533
+0.0165046
+0.0150699
+0.0137963
+0.0127261
+0.0119653
+0.0115344
+0.0107497
+0.00968967
+0.0089437
+0.00848515
+0.00844243
+0.00883073
+0.00810302
+0.00752912
+0.00747286
+0.00790112
+0.0087789
+0.00999454
+0.0105899
+0.0113397
+0.0123578
+0.0134971
+0.0127657
+0.0122821
+0.0120475
+0.0120831
+0.0123079
+0.0128401
+0.0136193
+0.0141817
+0.0147692
+0.0155889
+0.0161663
+0.0155671
+0.0150793
+0.0148934
+0.0149736
+0.0153374
+0.0159646
+0.0167857
+0.0178395
+0.0190575
+0.0204352
+0.0219349
+0.0234774
+0.0251136
+0.0260847
+0.0245885
+0.0232029
+0.0219488
+0.0208501
+0.0199324
+0.0192122
+0.0186823
+0.0183995
+0.0183754
+0.0184039
+0.018194
+0.018198
+0.0184615
+0.018939
+0.0196388
+0.020545
+0.0312656
+0.0305155
+0.0299075
+0.0294386
+0.0291072
+0.0289383
+0.0289348
+0.0290966
+0.0294212
+0.0299031
+0.030516
+0.0312595
+0.0321354
+0.0331332
+0.0342423
+0.0354522
+0.0367529
+0.0381352
+0.0395773
+0.041042
+0.0425368
+0.0440897
+0.0450621
+0.0429389
+0.0408229
+0.0387151
+0.0366171
+0.0345306
+0.0324578
+0.0304015
+0.0283654
+0.0263541
+0.0243738
+0.0224326
+0.0205416
+0.0187136
+0.0169441
+0.015283
+0.0137452
+0.0123909
+0.0112742
+0.0104078
+0.00993396
+0.00929208
+0.00808599
+0.00724894
+0.00672896
+0.00662126
+0.00709593
+0.00631417
+0.00560979
+0.00551282
+0.00604934
+0.0070994
+0.00852927
+0.0089552
+0.00975956
+0.0108895
+0.0123091
+0.0139299
+0.0141979
+0.0139847
+0.0140078
+0.0142162
+0.014676
+0.0153812
+0.0157856
+0.0163788
+0.0171356
+0.0178676
+0.017167
+0.0167259
+0.0165642
+0.0166382
+0.0169948
+0.0175805
+0.0183294
+0.0192991
+0.0204557
+0.0217451
+0.0231702
+0.0246891
+0.0262504
+0.0276802
+0.026275
+0.0249832
+0.023823
+0.0228147
+0.0219792
+0.0211014
+0.0200996
+0.0192955
+0.0187146
+0.0183095
+0.0180985
+0.0181065
+0.0183592
+0.0188271
+0.0195309
+0.0204463
+0.0333003
+0.0325971
+0.0320286
+0.0315849
+0.0312763
+0.0311192
+0.0311159
+0.0312665
+0.0315688
+0.0320184
+0.0325997
+0.0332967
+0.0341203
+0.0350617
+0.0361116
+0.0372608
+0.0385005
+0.0398222
+0.0412175
+0.0426663
+0.0441305
+0.0456292
+0.0447185
+0.0425781
+0.0404432
+0.0383145
+0.0361933
+0.0340809
+0.0319789
+0.0298898
+0.0278162
+0.0257621
+0.0237324
+0.0217339
+0.0197763
+0.0178728
+0.0160216
+0.0142533
+0.0126184
+0.0111596
+0.00993666
+0.00904265
+0.00851244
+0.00766752
+0.00640042
+0.00559885
+0.00520698
+0.00501806
+0.00559683
+0.00467863
+0.00381749
+0.00370734
+0.00442005
+0.00570447
+0.00706108
+0.0074732
+0.00835063
+0.00963622
+0.0111497
+0.0128498
+0.0146759
+0.0159627
+0.0159863
+0.0161921
+0.0165982
+0.0171571
+0.0174839
+0.0180386
+0.01859
+0.0189661
+0.0188804
+0.0184802
+0.0183349
+0.0184132
+0.0187361
+0.0193036
+0.0199943
+0.0208868
+0.0219624
+0.0231882
+0.0245296
+0.0259867
+0.0275131
+0.0290877
+0.0280313
+0.0265809
+0.0250478
+0.0236076
+0.0222901
+0.0211181
+0.0201171
+0.0193137
+0.0187334
+0.018389
+0.0181542
+0.0181559
+0.0184199
+0.0189354
+0.0196437
+0.0205541
+0.0353537
+0.0346921
+0.0341585
+0.033737
+0.0334482
+0.0333014
+0.0332983
+0.0334391
+0.0337218
+0.0341431
+0.0346963
+0.0353522
+0.036129
+0.0370193
+0.0380152
+0.0391085
+0.0402914
+0.0415561
+0.0428956
+0.0443005
+0.0457566
+0.0466361
+0.0444801
+0.0423278
+0.0401795
+0.0380361
+0.0358984
+0.0337676
+0.0316448
+0.029532
+0.0274315
+0.0253461
+0.0232802
+0.0212393
+0.0192313
+0.0172679
+0.0153463
+0.0134966
+0.0117646
+0.0102016
+0.00890693
+0.00791515
+0.00736935
+0.00626478
+0.00469363
+0.00370538
+0.00354039
+0.00384518
+0.00452451
+0.00343153
+0.00246376
+0.00229091
+0.00329085
+0.00475098
+0.00580872
+0.00616131
+0.00715115
+0.00852114
+0.0101823
+0.0120085
+0.0138969
+0.0158633
+0.0178818
+0.0181978
+0.0185768
+0.018488
+0.0181382
+0.0180494
+0.0182142
+0.0185979
+0.0190895
+0.0189406
+0.0190354
+0.0193408
+0.0198844
+0.0206472
+0.0216061
+0.0225757
+0.0235743
+0.0247272
+0.0260028
+0.0273817
+0.0288611
+0.0300572
+0.0283786
+0.026774
+0.0252526
+0.0238248
+0.02252
+0.0213606
+0.0203691
+0.0195588
+0.0189678
+0.0186173
+0.0184201
+0.0184374
+0.0186975
+0.0192055
+0.0199355
+0.0208282
+0.0374226
+0.0367983
+0.0362955
+0.0358937
+0.0356225
+0.0354846
+0.0354817
+0.0356139
+0.0358795
+0.0362757
+0.0367983
+0.037423
+0.0381577
+0.0390017
+0.0399482
+0.04099
+0.0421201
+0.0433315
+0.0446177
+0.0459723
+0.0473854
+0.0465109
+0.0443489
+0.0421898
+0.0400342
+0.0378826
+0.0357357
+0.0335945
+0.0314601
+0.029334
+0.0272181
+0.0251151
+0.0230284
+0.020963
+0.0189258
+0.0169269
+0.0149616
+0.0130576
+0.0112583
+0.00962139
+0.00823607
+0.00718563
+0.00665042
+0.00517704
+0.0033217
+0.00195932
+0.00187724
+0.00277811
+0.0039599
+0.00236507
+0.000741925
+0.000478586
+0.00198148
+0.00394094
+0.00490187
+0.00525426
+0.00627473
+0.00778868
+0.00955871
+0.011432
+0.0134019
+0.015431
+0.0174944
+0.0195831
+0.0189733
+0.0183732
+0.0180211
+0.0179317
+0.0180659
+0.0184526
+0.0187989
+0.0186476
+0.0187264
+0.0190368
+0.0195888
+0.0203627
+0.0213344
+0.0224782
+0.0237694
+0.0251853
+0.0267059
+0.0282712
+0.0294868
+0.0303865
+0.028727
+0.0271431
+0.0256436
+0.0242388
+0.0229456
+0.021793
+0.0208078
+0.0200149
+0.0194377
+0.0190922
+0.0189037
+0.0189543
+0.0192222
+0.0197167
+0.0204138
+0.0212913
+0.0395047
+0.0389138
+0.0384335
+0.0380544
+0.0377986
+0.0376687
+0.037666
+0.0377905
+0.038041
+0.0384149
+0.0389088
+0.0395068
+0.0402034
+0.0410054
+0.0419066
+0.0429009
+0.0439819
+0.0451434
+0.0463793
+0.0476839
+0.0486543
+0.0464888
+0.0443256
+0.0421654
+0.0400084
+0.0378553
+0.0357068
+0.0335638
+0.0314273
+0.0292988
+0.0271802
+0.025074
+0.0229836
+0.0209138
+0.0188712
+0.0168659
+0.0148925
+0.0129781
+0.0111638
+0.00950693
+0.00810475
+0.00704077
+0.00649407
+0.0045705
+0.00243183
+0.000471634
+0.000468168
+0.00180262
+0.00345904
+0.00194571
+-0.000148986
+-0.000570781
+0.00152938
+0.0036845
+0.00449273
+0.0048671
+0.00595028
+0.00752926
+0.0093
+0.0112045
+0.0131981
+0.0152459
+0.0173286
+0.0194352
+0.0191141
+0.0185186
+0.0181693
+0.0180377
+0.0181627
+0.0185474
+0.0187506
+0.0185995
+0.018671
+0.0189824
+0.0195359
+0.0203118
+0.0212858
+0.0224322
+0.0237258
+0.0251441
+0.0266672
+0.0282676
+0.0294833
+0.0308066
+0.029236
+0.0276809
+0.026193
+0.0248054
+0.0235403
+0.0224182
+0.0214618
+0.0206939
+0.0201362
+0.0197977
+0.0196212
+0.01967
+0.0199325
+0.0204098
+0.0211048
+0.0219595
+0.0415979
+0.0410372
+0.0405772
+0.0402182
+0.0399763
+0.0398535
+0.039851
+0.0399687
+0.0402055
+0.0405595
+0.0410276
+0.0416015
+0.0422636
+0.0430272
+0.043887
+0.0448373
+0.0458727
+0.0469875
+0.0481762
+0.0494334
+0.0487317
+0.0465693
+0.0444093
+0.0422522
+0.0400986
+0.0379493
+0.0358049
+0.0336665
+0.0315354
+0.0294129
+0.0273013
+0.0252031
+0.0231221
+0.0210633
+0.0190341
+0.0170448
+0.0150896
+0.0131992
+0.0114167
+0.00980111
+0.00844869
+0.00745599
+0.00685107
+0.00470707
+0.00262714
+0.000817976
+0.000847011
+0.00218898
+0.00379217
+0.00247286
+0.000746321
+0.000710967
+0.0021958
+0.00414302
+0.00491155
+0.00523373
+0.00626614
+0.00775747
+0.00948377
+0.0113703
+0.0133422
+0.0153708
+0.0174387
+0.0195333
+0.0195016
+0.0189183
+0.0185347
+0.0183974
+0.01852
+0.0188974
+0.0189326
+0.0187824
+0.0188716
+0.0191796
+0.0197276
+0.0204963
+0.0214619
+0.0225993
+0.023884
+0.0252934
+0.0268078
+0.0283877
+0.0296422
+0.0309587
+0.0298936
+0.0283492
+0.0268945
+0.0255451
+0.0243185
+0.023234
+0.0223126
+0.021575
+0.021037
+0.0207033
+0.0205484
+0.020595
+0.0208458
+0.0213026
+0.0219695
+0.0228152
+0.0437007
+0.0431673
+0.0427256
+0.0423849
+0.0421554
+0.042039
+0.0420365
+0.0421481
+0.0423728
+0.0427089
+0.0431536
+0.0437038
+0.0443364
+0.0450649
+0.0458864
+0.0467962
+0.0477892
+0.0488603
+0.0500044
+0.0510482
+0.0488894
+0.0467336
+0.0445812
+0.0424327
+0.0402887
+0.0381501
+0.0360177
+0.0338928
+0.0317767
+0.0296716
+0.0275797
+0.0255045
+0.0234502
+0.021423
+0.0194314
+0.0174874
+0.0155875
+0.0137656
+0.0120671
+0.0105516
+0.00930881
+0.00841867
+0.00743393
+0.00550034
+0.00378653
+0.00264046
+0.00269917
+0.00362843
+0.00496264
+0.00381235
+0.00270931
+0.00272846
+0.0037111
+0.0052185
+0.00600663
+0.00623977
+0.00713039
+0.00847026
+0.0100752
+0.0118689
+0.0137779
+0.0157603
+0.0177917
+0.019857
+0.0200984
+0.0195169
+0.0191374
+0.0190044
+0.0188356
+0.0188816
+0.0191636
+0.0192149
+0.019285
+0.0195854
+0.0201211
+0.0208741
+0.021822
+0.0229405
+0.024206
+0.0255968
+0.0270932
+0.0286556
+0.0299391
+0.0312398
+0.0306672
+0.0291636
+0.0277517
+0.026446
+0.0252632
+0.0242211
+0.0233387
+0.0226346
+0.0221177
+0.0217886
+0.0216545
+0.0216994
+0.0219406
+0.0223751
+0.0230108
+0.0238196
+0.0458117
+0.0453032
+0.0448781
+0.0445539
+0.0443356
+0.0442249
+0.0442226
+0.0443287
+0.0445424
+0.0448622
+0.0452858
+0.0458104
+0.04642
+0.0471163
+0.0479027
+0.0487749
+0.0497283
+0.0507585
+0.0518608
+0.0512913
+0.0491432
+0.046999
+0.0448593
+0.0427248
+0.0405963
+0.0384748
+0.0363614
+0.0342578
+0.0321658
+0.0300879
+0.0280272
+0.0259877
+0.0239749
+0.0219961
+0.0200614
+0.0181849
+0.0163658
+0.0146412
+0.0130561
+0.0116672
+0.0105535
+0.00972375
+0.00851584
+0.00684619
+0.00554708
+0.00475063
+0.00478351
+0.00548479
+0.00659628
+0.00564676
+0.00483612
+0.00483883
+0.00558785
+0.00677337
+0.00744871
+0.00763166
+0.00837555
+0.0095737
+0.0110744
+0.0127293
+0.0145257
+0.0164181
+0.0183769
+0.0203829
+0.0208462
+0.0202851
+0.0196411
+0.019224
+0.0190513
+0.0190968
+0.0193756
+0.0198675
+0.0199197
+0.0202106
+0.0207302
+0.0214618
+0.0223848
+0.0234765
+0.0247146
+0.0260782
+0.0275486
+0.0290865
+0.0303823
+0.0316648
+0.031574
+0.0301157
+0.0287506
+0.0274924
+0.0263566
+0.0253595
+0.024518
+0.0238452
+0.0233544
+0.0230318
+0.0229041
+0.0229459
+0.0231911
+0.0236026
+0.0242062
+0.0249763
+0.0479299
+0.0474427
+0.0470342
+0.0467249
+0.0465168
+0.0464113
+0.0464091
+0.0465102
+0.0467139
+0.047019
+0.0474233
+0.0479245
+0.048513
+0.0491796
+0.0499336
+0.0507709
+0.0516876
+0.0526794
+0.0537423
+0.0516263
+0.0494927
+0.0473644
+0.045242
+0.0431264
+0.0410188
+0.0389203
+0.0368325
+0.0347574
+0.0326974
+0.0306555
+0.0286356
+0.0266428
+0.0246834
+0.0227663
+0.0209031
+0.0191094
+0.0173855
+0.0157709
+0.0143104
+0.0130556
+0.0120244
+0.0112955
+0.00992971
+0.00854107
+0.00748823
+0.00691107
+0.00693372
+0.00748422
+0.00839001
+0.00759069
+0.00700242
+0.00699552
+0.00759549
+0.00853969
+0.00918419
+0.0093353
+0.00995266
+0.01098
+0.0123148
+0.0138326
+0.0155072
+0.0172974
+0.019171
+0.0211058
+0.0215582
+0.0207207
+0.0200883
+0.0196807
+0.019512
+0.0195564
+0.0198288
+0.0203349
+0.0207671
+0.0210463
+0.0215457
+0.0222506
+0.0231421
+0.0241997
+0.0254026
+0.0267311
+0.0281674
+0.0296732
+0.0309745
+0.0322334
+0.032603
+0.0311929
+0.029877
+0.0286683
+0.0275809
+0.0266297
+0.0258297
+0.0251878
+0.024722
+0.0244085
+0.0242868
+0.0243262
+0.0245618
+0.0249598
+0.0255313
+0.026265
+0.0500543
+0.049584
+0.0491933
+0.0488976
+0.0486989
+0.0485981
+0.048596
+0.0486926
+0.0488872
+0.0491787
+0.0495655
+0.0500452
+0.0506142
+0.0512536
+0.0519775
+0.0527824
+0.0536647
+0.0546207
+0.0541728
+0.0520514
+0.049936
+0.0478274
+0.0457265
+0.0436345
+0.0415526
+0.0394825
+0.0374261
+0.0353858
+0.0333646
+0.0313662
+0.0293952
+0.0274575
+0.0255607
+0.0237146
+0.021932
+0.0202172
+0.0185904
+0.0170901
+0.0157523
+0.0146118
+0.0136751
+0.0130202
+0.0115878
+0.0104215
+0.00953239
+0.00908603
+0.00910326
+0.00955205
+0.0103178
+0.00963653
+0.00918031
+0.00916837
+0.00963395
+0.0104677
+0.0110821
+0.0112094
+0.0117286
+0.0126121
+0.0137898
+0.0151607
+0.0167026
+0.0183768
+0.0201503
+0.021999
+0.0221626
+0.0213709
+0.0207583
+0.0203641
+0.0202011
+0.020244
+0.0205073
+0.020997
+0.0216979
+0.0220686
+0.0225454
+0.0232199
+0.0240756
+0.0250939
+0.0262558
+0.0275433
+0.0289393
+0.0304069
+0.0317072
+0.0329382
+0.033743
+0.0323826
+0.031117
+0.0299584
+0.0289196
+0.0280138
+0.027251
+0.0266431
+0.0261938
+0.0258977
+0.0257817
+0.0258188
+0.0260409
+0.0264255
+0.0269659
+0.0276674
+0.0521842
+0.0517295
+0.0513551
+0.0510719
+0.0508816
+0.0507852
+0.0507832
+0.0508756
+0.0510619
+0.0513411
+0.0517117
+0.0521717
+0.0527188
+0.0533369
+0.0540329
+0.0548076
+0.0556578
+0.0565801
+0.054666
+0.0525645
+0.0504706
+0.0483853
+0.0463097
+0.0442453
+0.0421935
+0.0401564
+0.0381364
+0.0361363
+0.0341595
+0.0322105
+0.0302944
+0.0284181
+0.0265899
+0.0248193
+0.0231018
+0.0214701
+0.0199457
+0.0185553
+0.0173271
+0.0162887
+0.015454
+0.0146561
+0.0133997
+0.012376
+0.01163
+0.0112671
+0.011281
+0.0116461
+0.0123099
+0.0117348
+0.0113631
+0.0113481
+0.0117274
+0.0124827
+0.013072
+0.0131816
+0.0136258
+0.0143933
+0.0154357
+0.0166718
+0.0180853
+0.019642
+0.0213104
+0.0230664
+0.0229492
+0.0221916
+0.0216023
+0.0212238
+0.0210675
+0.0211354
+0.0213887
+0.0218587
+0.0225328
+0.0232529
+0.0237059
+0.0243483
+0.0251656
+0.0261415
+0.0272588
+0.028501
+0.0298522
+0.031277
+0.0325711
+0.0337706
+0.0349832
+0.0336729
+0.0324577
+0.0313487
+0.0303575
+0.0294959
+0.0287689
+0.0281937
+0.0277602
+0.0274809
+0.0273704
+0.0274054
+0.0276147
+0.0279861
+0.028497
+0.0291638
+0.054319
+0.0538786
+0.0535192
+0.0532476
+0.0530651
+0.0529726
+0.0529707
+0.0530593
+0.053238
+0.0535058
+0.0538615
+0.0543033
+0.0548291
+0.0554285
+0.0560985
+0.0568451
+0.0576653
+0.0573287
+0.0552417
+0.053163
+0.0510936
+0.0490348
+0.0469879
+0.0449546
+0.0429368
+0.0409367
+0.0389571
+0.0370014
+0.0350734
+0.0331781
+0.0313213
+0.0295104
+0.0277448
+0.0260355
+0.0244033
+0.0228646
+0.0214397
+0.0201526
+0.019017
+0.0180759
+0.0173275
+0.0164218
+0.0153109
+0.0143929
+0.0137567
+0.0134513
+0.0134629
+0.0137703
+0.0143426
+0.0138617
+0.0135485
+0.0135313
+0.013851
+0.0144984
+0.0151175
+0.0152136
+0.0156001
+0.0162747
+0.0172035
+0.0183207
+0.0196158
+0.0210596
+0.0226238
+0.024285
+0.0239039
+0.023177
+0.0226134
+0.0222521
+0.022103
+0.0221695
+0.0224112
+0.0228602
+0.0235056
+0.0243252
+0.0250049
+0.0256147
+0.0263929
+0.0273249
+0.0283957
+0.0295902
+0.0308938
+0.0322727
+0.033556
+0.0347214
+0.0359813
+0.0350528
+0.0338871
+0.0328264
+0.0318812
+0.0310586
+0.030369
+0.0298246
+0.0294064
+0.0291429
+0.0290376
+0.0290706
+0.029268
+0.0296258
+0.0301096
+0.0307415
+0.056458
+0.0560309
+0.0556854
+0.0554244
+0.0552491
+0.0551603
+0.0551585
+0.0552436
+0.0554152
+0.0556726
+0.0560145
+0.0564394
+0.0569455
+0.0575275
+0.0581733
+0.0588936
+0.0596856
+0.0579608
+0.0558974
+0.053844
+0.0518018
+0.0497723
+0.0477571
+0.0457579
+0.0437771
+0.0418173
+0.0398815
+0.0379734
+0.0360973
+0.0342587
+0.0324627
+0.0307038
+0.0290034
+0.0273729
+0.0258253
+0.0243766
+0.0230453
+0.0218439
+0.0208005
+0.0199437
+0.019268
+0.0182797
+0.0172699
+0.0164543
+0.0159008
+0.0156373
+0.0156473
+0.0159126
+0.0164161
+0.0160058
+0.0157353
+0.0157166
+0.0159927
+0.0165566
+0.017195
+0.0172721
+0.0176125
+0.0182118
+0.0190457
+0.0200735
+0.0212621
+0.022601
+0.0240652
+0.0256332
+0.025014
+0.0243203
+0.0237838
+0.0234405
+0.0232991
+0.0233622
+0.0235917
+0.0240186
+0.0246336
+0.0254169
+0.0263498
+0.0269997
+0.0277391
+0.0286273
+0.0296511
+0.0307969
+0.0320515
+0.0333826
+0.0346515
+0.0357813
+0.0370051
+0.036512
+0.0353945
+0.0343803
+0.0334787
+0.0326934
+0.032039
+0.0315193
+0.0311198
+0.030871
+0.0307705
+0.0308017
+0.0309881
+0.0313269
+0.0317915
+0.0323906
+0.0585988
+0.0581861
+0.0578534
+0.0576023
+0.0574336
+0.0573482
+0.0573464
+0.0574283
+0.0575934
+0.0578411
+0.0581703
+0.0585796
+0.0590673
+0.0596316
+0.0602563
+0.060952
+0.0607162
+0.0586679
+0.0566302
+0.0546044
+0.0525918
+0.050594
+0.0486128
+0.0466504
+0.0447091
+0.042792
+0.0409023
+0.0390441
+0.0372221
+0.0354343
+0.0336878
+0.0319961
+0.0303681
+0.0288149
+0.027349
+0.0259854
+0.0247358
+0.0236171
+0.0226555
+0.021869
+0.0212522
+0.0202044
+0.0192727
+0.0185453
+0.018056
+0.0178244
+0.0178332
+0.0180664
+0.0185165
+0.018161
+0.0179231
+0.0179033
+0.0181461
+0.0186449
+0.0192852
+0.0193539
+0.0196583
+0.020197
+0.020952
+0.021901
+0.0229994
+0.0242426
+0.0256131
+0.0270768
+0.0262603
+0.0256003
+0.0250912
+0.0247661
+0.0246323
+0.024692
+0.0249092
+0.0253139
+0.0258982
+0.0266444
+0.0275357
+0.028475
+0.029177
+0.0300227
+0.0310004
+0.0320981
+0.0333039
+0.0345958
+0.0358473
+0.0369408
+0.0381274
+0.0380415
+0.0369702
+0.0360005
+0.0351375
+0.0343902
+0.0337686
+0.0332682
+0.03289
+0.0326546
+0.0325587
+0.0325881
+0.0327643
+0.0330849
+0.0335322
+0.0341008
+0.0607418
+0.0603438
+0.0600231
+0.0597811
+0.0596186
+0.0595363
+0.0595346
+0.0596135
+0.0597725
+0.0600112
+0.0603286
+0.0607233
+0.061194
+0.0617389
+0.0623467
+0.0630193
+0.0614698
+0.0594474
+0.0574374
+0.0554411
+0.05346
+0.0514958
+0.0495507
+0.0476269
+0.0457272
+0.0438546
+0.0420127
+0.0402049
+0.0384257
+0.0366908
+0.035007
+0.0333822
+0.0318252
+0.0303467
+0.0289585
+0.0276724
+0.0264966
+0.0254554
+0.0245659
+0.0238323
+0.0231675
+0.0221659
+0.0213124
+0.020657
+0.0202189
+0.0200123
+0.0200202
+0.0202282
+0.0206357
+0.0203238
+0.0201115
+0.0200908
+0.0203075
+0.0207544
+0.0213952
+0.0214574
+0.0217323
+0.0222208
+0.0229093
+0.0237803
+0.0248087
+0.0259653
+0.0272493
+0.0284016
+0.0276243
+0.0269957
+0.0265134
+0.0262059
+0.0260795
+0.0261367
+0.0263433
+0.0267263
+0.0272803
+0.0279897
+0.0288395
+0.0298263
+0.0306893
+0.0314945
+0.0324279
+0.0334788
+0.0346366
+0.0358908
+0.0371302
+0.0381898
+0.0393398
+0.0396331
+0.038606
+0.0376779
+0.036852
+0.0361401
+0.0355492
+0.0350668
+0.0347081
+0.0344852
+0.0343934
+0.0344213
+0.0345881
+0.034892
+0.035323
+0.0358632
+0.0628882
+0.0625038
+0.0621943
+0.0619608
+0.061804
+0.0617246
+0.061723
+0.061799
+0.0619525
+0.0621828
+0.0624891
+0.0628703
+0.0633251
+0.0638518
+0.0644437
+0.0642988
+0.0622912
+0.0602964
+0.0583157
+0.0563505
+0.0544025
+0.0524737
+0.0505662
+0.0486826
+0.0468257
+0.0449988
+0.0431994
+0.0414327
+0.0397084
+0.038032
+0.0364104
+0.034851
+0.0333627
+0.0319553
+0.0306401
+0.0294206
+0.0283175
+0.0273457
+0.0265196
+0.0258323
+0.0250998
+0.02416
+0.0233795
+0.0227837
+0.0223872
+0.0222008
+0.0222079
+0.0223956
+0.0227685
+0.022492
+0.0222979
+0.0222789
+0.0224745
+0.0228792
+0.0234821
+0.0235768
+0.0238273
+0.0242736
+0.0249054
+0.0257089
+0.0266686
+0.0277541
+0.0289589
+0.0298287
+0.0290895
+0.0284826
+0.0280259
+0.0277352
+0.0276158
+0.0276698
+0.0278714
+0.0282337
+0.0287587
+0.0294367
+0.0302459
+0.0311882
+0.032252
+0.033046
+0.0339368
+0.0349423
+0.0360531
+0.0372598
+0.0384952
+0.0395182
+0.0406337
+0.0412797
+0.0402945
+0.0394036
+0.0386146
+0.0379358
+0.0373729
+0.0369077
+0.0365672
+0.0363556
+0.0362676
+0.0362941
+0.0364524
+0.0367408
+0.0371559
+0.0376706
+0.0650375
+0.0646659
+0.0643668
+0.0641411
+0.0639897
+0.0639131
+0.0639115
+0.0639849
+0.0641332
+0.0643557
+0.0646517
+0.0650202
+0.06546
+0.0659697
+0.0665467
+0.0651583
+0.063178
+0.0612121
+0.059262
+0.0573292
+0.0554157
+0.0535234
+0.0516547
+0.0498122
+0.0479981
+0.0462073
+0.0444523
+0.0427374
+0.0410679
+0.0394494
+0.0378884
+0.0363924
+0.0349698
+0.0336297
+0.032377
+0.0312246
+0.0301875
+0.0292779
+0.0285031
+0.0278609
+0.0270627
+0.0261856
+0.0254673
+0.0249214
+0.0245595
+0.0243897
+0.0243961
+0.0245671
+0.0249113
+0.0246642
+0.0244848
+0.0244675
+0.0246458
+0.0250153
+0.0255679
+0.0257082
+0.025938
+0.0263487
+0.0269318
+0.0276765
+0.0285702
+0.029597
+0.0307296
+0.031344
+0.0306391
+0.0300558
+0.0296234
+0.0293485
+0.0292356
+0.0292867
+0.0294805
+0.0298233
+0.0303208
+0.0309657
+0.0317413
+0.0326405
+0.0336584
+0.0346666
+0.0355167
+0.0364788
+0.0375442
+0.0387043
+0.0399338
+0.0409208
+0.041999
+0.0429748
+0.0420288
+0.0411736
+0.0404191
+0.0397711
+0.0392289
+0.0387851
+0.0384611
+0.0382601
+0.0381756
+0.0382007
+0.0383511
+0.0386254
+0.039021
+0.0395168
+0.0671895
+0.0668299
+0.0665405
+0.0663222
+0.0661758
+0.0661017
+0.0661002
+0.0661712
+0.0663145
+0.0665297
+0.0668161
+0.0671728
+0.0675986
+0.0680922
+0.0680455
+0.0660792
+0.0641274
+0.0621915
+0.0602731
+0.0583738
+0.0564957
+0.0546408
+0.0528116
+0.0510055
+0.0492265
+0.0474819
+0.0457758
+0.0441124
+0.0424969
+0.040935
+0.0394328
+0.0379977
+0.0366375
+0.0353576
+0.0341654
+0.0330754
+0.0320982
+0.0312442
+0.0305115
+0.0299125
+0.0290512
+0.0282359
+0.027571
+0.0270676
+0.0267347
+0.0265788
+0.0265847
+0.0267417
+0.0270618
+0.0268394
+0.0266723
+0.0266565
+0.0268202
+0.0271601
+0.0276699
+0.0278487
+0.0280611
+0.0284411
+0.0289821
+0.0296754
+0.0305106
+0.0314763
+0.0325515
+0.0329354
+0.032256
+0.0317024
+0.0312927
+0.0310326
+0.0309259
+0.0309742
+0.0311607
+0.0314852
+0.0319568
+0.0325693
+0.0333137
+0.0341715
+0.0351452
+0.0362162
+0.0371588
+0.0380794
+0.0391011
+0.0402164
+0.0414176
+0.0423903
+0.043432
+0.0445572
+0.0438022
+0.0429823
+0.0422602
+0.0416408
+0.0411169
+0.0406937
+0.0403851
+0.0401937
+0.0401125
+0.0401364
+0.0402796
+0.0405408
+0.0409178
+0.0413966
+0.0693439
+0.0689955
+0.0687153
+0.0685039
+0.0683622
+0.0682904
+0.0682889
+0.0683577
+0.0684965
+0.0687049
+0.0689822
+0.0693277
+0.0697404
+0.0702189
+0.0689975
+0.0670591
+0.0651367
+0.0632317
+0.0613458
+0.0594808
+0.0576387
+0.055821
+0.054023
+0.0522549
+0.0505199
+0.0488216
+0.0471639
+0.0455513
+0.0439887
+0.0424816
+0.0410361
+0.0396591
+0.0383569
+0.0371317
+0.0359983
+0.0349655
+0.0340426
+0.0332386
+0.0325434
+0.0319601
+0.0310668
+0.0303058
+0.0296873
+0.0292204
+0.0289123
+0.0287683
+0.0287737
+0.0289188
+0.0292182
+0.0290169
+0.0288603
+0.0288457
+0.028997
+0.0293118
+0.0297847
+0.0299965
+0.0301938
+0.0305472
+0.0310516
+0.0316997
+0.0324829
+0.0333916
+0.034416
+0.0345793
+0.0339372
+0.0334115
+0.0330231
+0.0327767
+0.0326757
+0.0327214
+0.032901
+0.0332085
+0.033656
+0.0342381
+0.0349481
+0.0357713
+0.0366975
+0.0377195
+0.0388383
+0.0397362
+0.0407165
+0.0417886
+0.0429459
+0.0439199
+0.0449262
+0.0460149
+0.045612
+0.0448251
+0.0441332
+0.0435405
+0.0430337
+0.0426296
+0.042335
+0.0421524
+0.0420742
+0.042097
+0.0422336
+0.0424828
+0.0428428
+0.0433057
+0.0715005
+0.0711627
+0.070891
+0.0706862
+0.0705488
+0.0704793
+0.0704778
+0.0705445
+0.0706789
+0.0708809
+0.0711498
+0.0714848
+0.0718851
+0.0719308
+0.0700051
+0.0680954
+0.0662031
+0.0643297
+0.0624769
+0.0606467
+0.0588363
+0.0570491
+0.055291
+0.0535648
+0.0518736
+0.0502211
+0.0486112
+0.0470482
+0.045537
+0.0440829
+0.0426917
+0.0413697
+0.040118
+0.0389483
+0.0378692
+0.0368889
+0.0360152
+0.0352503
+0.0345947
+0.0339444
+0.0331047
+0.0323916
+0.0318137
+0.0313784
+0.0310918
+0.0309578
+0.0309629
+0.0310978
+0.0313794
+0.0311963
+0.0310487
+0.0310351
+0.0311758
+0.0314688
+0.0319098
+0.0321501
+0.0323342
+0.0326645
+0.0331367
+0.0337447
+0.0344815
+0.0353389
+0.0363084
+0.0362761
+0.0356735
+0.0351741
+0.0348053
+0.0345717
+0.0344759
+0.0345192
+0.0346923
+0.0349841
+0.0354092
+0.0359629
+0.0366395
+0.0374298
+0.0383073
+0.0392875
+0.0403629
+0.0414427
+0.0423835
+0.0434145
+0.0445295
+0.0455036
+0.0464756
+0.0475288
+0.0474538
+0.046698
+0.0460342
+0.0454644
+0.0449755
+0.0445889
+0.0443074
+0.044133
+0.0440576
+0.0440793
+0.0442098
+0.0444479
+0.0447921
+0.0452395
+0.0736592
+0.0733313
+0.0730676
+0.0728689
+0.0727357
+0.0726683
+0.0726669
+0.0727315
+0.0728619
+0.0730578
+0.0733187
+0.0736439
+0.0740325
+0.0729637
+0.071066
+0.0691855
+0.0673239
+0.0654825
+0.0636625
+0.0618597
+0.0600826
+0.0583336
+0.0566154
+0.0549308
+0.0532831
+0.0516757
+0.0501125
+0.0485978
+0.0471363
+0.045733
+0.0443936
+0.0431201
+0.0419196
+0.0408016
+0.0397728
+0.0388406
+0.0380118
+0.0372814
+0.0366621
+0.0359527
+0.035161
+0.0344905
+0.0339483
+0.0335407
+0.0332727
+0.0331476
+0.0331523
+0.0332783
+0.0335445
+0.0333771
+0.0332374
+0.0332247
+0.0333562
+0.0336301
+0.0340431
+0.0343084
+0.034481
+0.0347909
+0.0352346
+0.035807
+0.0365022
+0.0373132
+0.0382327
+0.0380235
+0.0374518
+0.0369824
+0.0366319
+0.0364099
+0.036319
+0.0363601
+0.0365177
+0.0367949
+0.0371993
+0.0377268
+0.0383723
+0.0391299
+0.0399724
+0.0409127
+0.0419465
+0.0430669
+0.0440964
+0.0450882
+0.0461598
+0.0471359
+0.0480749
+0.0490938
+0.0493242
+0.0485975
+0.04796
+0.0474079
+0.0469392
+0.046569
+0.0462995
+0.0461326
+0.0460597
+0.0460806
+0.0462053
+0.0464333
+0.0467628
+0.0471918
+0.0758196
+0.0755011
+0.0752451
+0.0750522
+0.0749228
+0.0748573
+0.074856
+0.0749187
+0.0750453
+0.0752356
+0.075489
+0.0758048
+0.0759335
+0.074047
+0.0721778
+0.0703271
+0.0684964
+0.0666831
+0.0648901
+0.0631223
+0.0613818
+0.059671
+0.0579924
+0.056349
+0.0547439
+0.0531807
+0.0516631
+0.0501952
+0.0487815
+0.047427
+0.0461348
+0.0449081
+0.0437567
+0.0426868
+0.0417046
+0.0408165
+0.0400276
+0.0393296
+0.0387431
+0.0379812
+0.0372326
+0.0366001
+0.0360896
+0.0357065
+0.0354548
+0.0353374
+0.0353419
+0.0354601
+0.0357117
+0.0355592
+0.0354263
+0.0354144
+0.0355378
+0.0357951
+0.0361834
+0.0364705
+0.0366329
+0.0369248
+0.0373432
+0.0378838
+0.0385415
+0.0393104
+0.0401842
+0.0398147
+0.0392691
+0.0388285
+0.0384947
+0.0382836
+0.0381972
+0.0382344
+0.0383746
+0.0386385
+0.0390238
+0.0395269
+0.0401435
+0.0408683
+0.0416862
+0.0425887
+0.0435827
+0.0446621
+0.0458209
+0.0468047
+0.0478343
+0.0488031
+0.0497106
+0.0506967
+0.05122
+0.0505206
+0.0499076
+0.0493721
+0.0489222
+0.0485671
+0.0483088
+0.0481488
+0.0480783
+0.0480983
+0.0482178
+0.0484363
+0.0487523
+0.049164
+0.0779818
+0.0776722
+0.0774233
+0.0772358
+0.0771101
+0.0770465
+0.0770452
+0.0771061
+0.0772292
+0.0774141
+0.0776603
+0.0779674
+0.0770373
+0.0751786
+0.0733381
+0.0715166
+0.0697104
+0.0679267
+0.0661675
+0.0644348
+0.0627306
+0.0610576
+0.0594182
+0.0578154
+0.0562522
+0.054732
+0.0532586
+0.0518359
+0.0504683
+0.0491599
+0.0479105
+0.0467304
+0.0456251
+0.0446
+0.0436609
+0.0428134
+0.0420562
+0.0413924
+0.0408355
+0.0400267
+0.0393171
+0.0387186
+0.0382365
+0.0378751
+0.0376379
+0.0375274
+0.0375315
+0.0376429
+0.03788
+0.0377422
+0.0376154
+0.0376042
+0.0377204
+0.0379629
+0.0383293
+0.0386359
+0.0387892
+0.039065
+0.0394607
+0.0399726
+0.0405965
+0.0413272
+0.0421592
+0.0416442
+0.0411228
+0.0406971
+0.0403788
+0.0401775
+0.0400952
+0.0401316
+0.040265
+0.0405166
+0.0408842
+0.0413648
+0.0419543
+0.0426483
+0.0434419
+0.0443095
+0.0452658
+0.046306
+0.0474246
+0.0485593
+0.0495492
+0.0505065
+0.051384
+0.0523385
+0.0531384
+0.0524646
+0.0518746
+0.0513546
+0.0509222
+0.0505811
+0.0503331
+0.0501797
+0.0501114
+0.0501305
+0.0502452
+0.0504549
+0.0507583
+0.0511539
+0.0801455
+0.0798443
+0.0796022
+0.0794198
+0.0792976
+0.0792358
+0.0792345
+0.0792937
+0.0794134
+0.0795932
+0.0798327
+0.0800358
+0.078187
+0.0763562
+0.0745408
+0.0727437
+0.0709686
+0.0692174
+0.0674918
+0.065794
+0.064126
+0.0624903
+0.0608895
+0.0593264
+0.0578041
+0.0563258
+0.0548952
+0.0535161
+0.0521925
+0.0509244
+0.0497193
+0.0485832
+0.047521
+0.0465377
+0.0456384
+0.0448283
+0.0441003
+0.0434677
+0.0428627
+0.0420869
+0.0414126
+0.0408449
+0.0403881
+0.0400461
+0.0398219
+0.0397174
+0.0397213
+0.0398266
+0.0400508
+0.0399261
+0.0398048
+0.0397942
+0.039904
+0.0401333
+0.04048
+0.0408039
+0.0409492
+0.0412105
+0.0415857
+0.0420719
+0.0426651
+0.0433609
+0.044109
+0.043507
+0.0430082
+0.0425962
+0.0422922
+0.0421001
+0.0420215
+0.042057
+0.0421845
+0.0424248
+0.042776
+0.0432355
+0.0437998
+0.0444651
+0.0452268
+0.0460703
+0.0469908
+0.0479936
+0.0490738
+0.0502264
+0.0513002
+0.0522463
+0.053095
+0.0540193
+0.0550154
+0.0544274
+0.0538554
+0.0533534
+0.0529373
+0.0526093
+0.0523709
+0.0522234
+0.0521572
+0.0521756
+0.0522858
+0.0524873
+0.0527791
+0.0531596
+0.0823106
+0.0820173
+0.0817817
+0.0816042
+0.0814852
+0.0814251
+0.0814238
+0.0814815
+0.0815979
+0.0817729
+0.0820061
+0.0812021
+0.0793796
+0.0775708
+0.0757822
+0.0740152
+0.0722713
+0.0705525
+0.0688604
+0.0671971
+0.0655648
+0.0639659
+0.062403
+0.0608788
+0.0593963
+0.0579586
+0.0565693
+0.055232
+0.0539478
+0.0527208
+0.0515578
+0.0504631
+0.0494412
+0.0484969
+0.0476347
+0.0468565
+0.0461578
+0.0455539
+0.0448996
+0.0441596
+0.0435175
+0.0429775
+0.0425437
+0.0422191
+0.0420065
+0.0419075
+0.0419112
+0.042011
+0.0422236
+0.0421107
+0.0419942
+0.0419841
+0.0420883
+0.0423057
+0.0426348
+0.0429743
+0.0431122
+0.0433605
+0.0437173
+0.04418
+0.0447452
+0.0454092
+0.0459764
+0.0453991
+0.044918
+0.0445221
+0.0442313
+0.0440477
+0.0439726
+0.0440065
+0.0441293
+0.044359
+0.044695
+0.045135
+0.0456759
+0.0463142
+0.047046
+0.0478642
+0.0487511
+0.0497185
+0.050762
+0.051877
+0.0530592
+0.0540189
+0.0548402
+0.0557356
+0.0567015
+0.0564067
+0.0558506
+0.0553667
+0.0549659
+0.05465
+0.0544206
+0.0542787
+0.0542143
+0.054232
+0.0543381
+0.054532
+0.0548129
+0.0551794
+0.0914499
+0.0901418
+0.0888369
+0.0875673
+0.0863266
+0.0850213
+0.0837329
+0.0824826
+0.0812722
+0.0801033
+0.0789009
+0.0777244
+0.0762851
+0.0747558
+0.07326
+0.0717999
+0.0703778
+0.0689959
+0.067653
+0.0663521
+0.065099
+0.0638965
+0.0627474
+0.0616547
+0.0606216
+0.059651
+0.0587462
+0.0579101
+0.0571458
+0.0564562
+0.0558441
+0.055312
+0.0548624
+0.0544933
+0.054197
+0.053988
+0.0538674
+0.0538357
+0.0538932
+0.0540394
+0.0542738
+0.0545951
+0.0550019
+0.0554879
+0.0558386
+0.0560009
+0.0561283
+0.0563156
+0.0565522
+0.0568665
+0.0571924
+0.0575777
+0.0580247
+0.0585476
+0.0591412
+0.0598002
+0.0605315
+0.0613192
+0.0619807
+0.0608305
+0.0597384
+0.0587078
+0.057742
+0.0568443
+0.0560178
+0.0552659
+0.0545916
+0.0539978
+0.0534872
+0.0530622
+0.0527249
+0.0524769
+0.0523196
+0.0522537
+0.0522796
+0.0523835
+0.0525745
+0.0528557
+0.0532257
+0.0536825
+0.0542241
+0.0548327
+0.055505
+0.0562028
+0.0569764
+0.0578227
+0.0587385
+0.0597207
+0.060766
+0.0618031
+0.0628926
+0.0640146
+0.065152
+0.0663397
+0.067572
+0.0688516
+0.0701762
+0.0715379
+0.0729327
+0.0743658
+0.0898383
+0.0885063
+0.0872089
+0.0859153
+0.0846581
+0.0834273
+0.082114
+0.0808386
+0.0796032
+0.0784095
+0.0772594
+0.076058
+0.0749009
+0.0735114
+0.0719898
+0.0705034
+0.0690546
+0.0676456
+0.0662754
+0.064947
+0.0636662
+0.0624361
+0.0612596
+0.0601399
+0.0590803
+0.058084
+0.0571543
+0.0562946
+0.0555081
+0.0547979
+0.054167
+0.0536183
+0.0531543
+0.0527733
+0.0524673
+0.0522514
+0.0521268
+0.052094
+0.0521534
+0.0523045
+0.0525466
+0.0528785
+0.0532983
+0.0537707
+0.0540008
+0.0542536
+0.0543851
+0.0545983
+0.0548532
+0.0551772
+0.0555554
+0.0559555
+0.0564125
+0.0569502
+0.0575662
+0.0582444
+0.0589908
+0.0597959
+0.0604741
+0.0592946
+0.0581737
+0.0571149
+0.0561217
+0.0551976
+0.0543461
+0.0535707
+0.0528748
+0.0522615
+0.0517338
+0.0512943
+0.0509453
+0.0506886
+0.0505257
+0.0504575
+0.0504843
+0.0505902
+0.050788
+0.051079
+0.0514617
+0.0519341
+0.0524896
+0.0531163
+0.0537717
+0.0544918
+0.0552893
+0.056161
+0.0571035
+0.0581133
+0.0591338
+0.060192
+0.0612735
+0.0623813
+0.0635453
+0.0647582
+0.0660196
+0.0673287
+0.0686707
+0.070054
+0.0714777
+0.0728768
+0.0882516
+0.0868953
+0.0855735
+0.0842879
+0.0830065
+0.0817606
+0.080522
+0.0792211
+0.07796
+0.0767407
+0.0755653
+0.0744188
+0.0732358
+0.0720999
+0.0707646
+0.069252
+0.0677764
+0.0663403
+0.0649425
+0.0635863
+0.0622775
+0.0610194
+0.0598151
+0.0586678
+0.0575811
+0.0565584
+0.0556032
+0.0547191
+0.0539096
+0.0531781
+0.0525278
+0.0519618
+0.0514829
+0.0510894
+0.0507732
+0.0505501
+0.0504212
+0.0503874
+0.0504488
+0.050605
+0.0508552
+0.051198
+0.0516314
+0.0519522
+0.0521903
+0.0525187
+0.0526753
+0.0528889
+0.0531791
+0.0535243
+0.0539335
+0.0543702
+0.0548404
+0.0553933
+0.0560265
+0.0567231
+0.0574893
+0.0583151
+0.0590103
+0.057801
+0.0566506
+0.0555627
+0.0545412
+0.0535899
+0.0527124
+0.0519127
+0.0511942
+0.0505605
+0.0500149
+0.0495601
+0.0491988
+0.048933
+0.0487642
+0.0486935
+0.0487213
+0.0488294
+0.0490342
+0.0493356
+0.0497317
+0.0502204
+0.0507885
+0.0514124
+0.052073
+0.0528162
+0.0536386
+0.0545367
+0.0555068
+0.0565084
+0.0575314
+0.0585652
+0.0596428
+0.0607803
+0.0619714
+0.0632126
+0.0644992
+0.0658244
+0.0671949
+0.068608
+0.0700064
+0.0713813
+0.0866912
+0.0853101
+0.0839634
+0.0826528
+0.0813799
+0.0801119
+0.0788781
+0.0776317
+0.0763443
+0.0750988
+0.0738973
+0.0727419
+0.0715991
+0.0704368
+0.0693211
+0.068048
+0.0665458
+0.0650825
+0.0636572
+0.0622729
+0.060936
+0.0596495
+0.058417
+0.0572417
+0.0561274
+0.0550777
+0.0540964
+0.0531873
+0.0523541
+0.0516005
+0.0509301
+0.0503461
+0.0498516
+0.0494443
+0.0491175
+0.0488869
+0.0487536
+0.0487187
+0.0487821
+0.0489437
+0.0492023
+0.0495565
+0.0499956
+0.0501634
+0.0504099
+0.0507499
+0.0509823
+0.0512013
+0.0515092
+0.0518952
+0.0523287
+0.0528255
+0.053312
+0.0538806
+0.0545314
+0.0552468
+0.0560332
+0.0568802
+0.0575927
+0.0563529
+0.0551723
+0.0540548
+0.0530042
+0.0520248
+0.0511205
+0.0502954
+0.0495535
+0.0488986
+0.0483341
+0.0478634
+0.0474892
+0.0472137
+0.0470388
+0.0469655
+0.0469935
+0.0471046
+0.0473169
+0.0476291
+0.0480393
+0.048545
+0.0491263
+0.0497296
+0.0504122
+0.0511795
+0.0520278
+0.0529533
+0.0539331
+0.0549157
+0.0558975
+0.0569413
+0.058049
+0.0592157
+0.060434
+0.0616939
+0.0630019
+0.0643579
+0.065759
+0.067154
+0.0685161
+0.0699203
+0.0851497
+0.0837522
+0.0823801
+0.0810439
+0.0797455
+0.0784865
+0.0772332
+0.0760125
+0.074758
+0.0734856
+0.0722573
+0.0710752
+0.0699418
+0.0688032
+0.0676639
+0.0665691
+0.0653654
+0.0638752
+0.0624222
+0.0610099
+0.0596447
+0.0583298
+0.0570687
+0.0558651
+0.0547228
+0.0536456
+0.0526376
+0.0517028
+0.0508453
+0.0500691
+0.0493778
+0.0487753
+0.0482647
+0.0478424
+0.0475046
+0.0472661
+0.0471283
+0.0470921
+0.0471577
+0.0473248
+0.0475922
+0.0479584
+0.0482291
+0.0484077
+0.0486631
+0.0490152
+0.0493001
+0.0495453
+0.0498634
+0.0502696
+0.0507543
+0.051287
+0.0518312
+0.0524159
+0.0530846
+0.0538193
+0.0546262
+0.0554946
+0.0561979
+0.0549535
+0.0537421
+0.0525942
+0.0515139
+0.0505055
+0.0495735
+0.0487222
+0.047956
+0.0472789
+0.0466949
+0.0462075
+0.0458198
+0.0455342
+0.0453528
+0.0452768
+0.0453048
+0.04542
+0.0456401
+0.0459638
+0.0463887
+0.0469075
+0.0474728
+0.0480876
+0.0487932
+0.0495856
+0.0504608
+0.0514144
+0.052333
+0.0532762
+0.0542821
+0.0553564
+0.0564952
+0.0576836
+0.0589178
+0.0602065
+0.0615461
+0.0629335
+0.0643216
+0.0656694
+0.0670617
+0.0684957
+0.0836129
+0.0822167
+0.0808251
+0.0794628
+0.0781381
+0.0768531
+0.0756093
+0.074371
+0.073166
+0.0719029
+0.070647
+0.0694376
+0.068277
+0.0671679
+0.0660344
+0.0649203
+0.0638489
+0.0627211
+0.0612408
+0.0598006
+0.0584071
+0.0570637
+0.055774
+0.0545418
+0.0533712
+0.0522661
+0.051231
+0.0502701
+0.0493877
+0.0485881
+0.0478755
+0.0472538
+0.0467267
+0.0462887
+0.0459395
+0.0456928
+0.0455502
+0.0455128
+0.0455807
+0.0457536
+0.0460301
+0.0463384
+0.0464988
+0.0466887
+0.0469535
+0.0473183
+0.0476592
+0.0479228
+0.0482609
+0.0486805
+0.0491808
+0.0497727
+0.050399
+0.0510031
+0.0516901
+0.0524443
+0.0532721
+0.0541623
+0.0548487
+0.0535801
+0.0523589
+0.0511854
+0.0500747
+0.0490368
+0.0480763
+0.0471981
+0.0464067
+0.0457067
+0.0451023
+0.0445975
+0.0441956
+0.0438995
+0.0437113
+0.0436324
+0.0436607
+0.0437802
+0.0440085
+0.0443441
+0.0447844
+0.0452939
+0.0458547
+0.046491
+0.0472204
+0.0480388
+0.0489416
+0.0498092
+0.050705
+0.0516719
+0.0527083
+0.05381
+0.054967
+0.0561755
+0.0574421
+0.0587631
+0.0601349
+0.0615149
+0.0628465
+0.0642253
+0.0656482
+0.0670857
+0.0821058
+0.0806868
+0.0792934
+0.0779112
+0.0765597
+0.0752477
+0.0739774
+0.0727502
+0.0715262
+0.0703406
+0.0690688
+0.0678312
+0.0666426
+0.0655058
+0.0644235
+0.0632961
+0.0622064
+0.0611647
+0.0601118
+0.0586439
+0.0572222
+0.0558503
+0.0545319
+0.053271
+0.0520718
+0.0509386
+0.049876
+0.0488884
+0.0479806
+0.0471572
+0.0464226
+0.0457812
+0.0452369
+0.0447883
+0.0444274
+0.0441722
+0.0440247
+0.043986
+0.0440563
+0.0442351
+0.0444993
+0.0446424
+0.0448087
+0.0450008
+0.0452806
+0.0456587
+0.0460596
+0.0463373
+0.0466973
+0.0471396
+0.0476561
+0.0482667
+0.0489677
+0.0496447
+0.0503524
+0.0511264
+0.0519751
+0.0528871
+0.0535552
+0.0522552
+0.0510023
+0.0498141
+0.0486916
+0.0476236
+0.046634
+0.0457281
+0.0449108
+0.0441871
+0.0435616
+0.0430388
+0.0426222
+0.0423151
+0.0421198
+0.0420379
+0.0420664
+0.0421904
+0.0424274
+0.0427753
+0.043208
+0.0437272
+0.0442859
+0.0449444
+0.0456985
+0.0465437
+0.0473536
+0.0481955
+0.0491183
+0.0501046
+0.0511651
+0.0522929
+0.053472
+0.0547135
+0.0560132
+0.0573671
+0.0587375
+0.0600508
+0.0614141
+0.0628243
+0.0642581
+0.0657082
+0.0806301
+0.0791847
+0.0777741
+0.0763839
+0.075012
+0.0736725
+0.0723745
+0.0711203
+0.0699115
+0.0687033
+0.0675247
+0.0662583
+0.065041
+0.0638757
+0.0627652
+0.0617068
+0.0605924
+0.0595287
+0.0585213
+0.0575458
+0.0560963
+0.0546961
+0.0533492
+0.0520597
+0.0508319
+0.0496705
+0.04858
+0.0475656
+0.0466321
+0.0457844
+0.0450275
+0.0443659
+0.043804
+0.0433456
+0.0429737
+0.0427099
+0.0425573
+0.0425172
+0.0425899
+0.0427651
+0.0428336
+0.042991
+0.0431562
+0.0433541
+0.0436447
+0.0440369
+0.0444922
+0.0447906
+0.0451751
+0.0456387
+0.0461851
+0.0468148
+0.0475372
+0.0483305
+0.0490639
+0.0498678
+0.0507396
+0.0516734
+0.0523215
+0.05099
+0.0497052
+0.0484853
+0.0473354
+0.0462607
+0.0452518
+0.0443176
+0.0434738
+0.0427258
+0.0420787
+0.0415371
+0.0411053
+0.0407868
+0.0405842
+0.0404992
+0.0405279
+0.0406566
+0.0409024
+0.0412452
+0.0416737
+0.0421932
+0.0427718
+0.0434533
+0.0442328
+0.0449685
+0.0457494
+0.0466195
+0.0475565
+0.0485738
+0.049667
+0.0508136
+0.0520263
+0.0533015
+0.0546347
+0.0559938
+0.0572862
+0.058632
+0.0600276
+0.0614567
+0.0628951
+0.0643759
+0.0791731
+0.0777144
+0.0762775
+0.0748762
+0.0734898
+0.0721294
+0.0708031
+0.0695206
+0.0682843
+0.0670958
+0.0659051
+0.0647213
+0.0634746
+0.06228
+0.0611405
+0.0600594
+0.0590116
+0.0579282
+0.0568937
+0.0559247
+0.055017
+0.0536067
+0.0522317
+0.0509139
+0.0496578
+0.0484682
+0.0473501
+0.0463087
+0.0453493
+0.0444772
+0.0436976
+0.0430156
+0.0424358
+0.0419553
+0.0415697
+0.0412969
+0.0411391
+0.0410976
+0.0411728
+0.0411464
+0.041217
+0.0413897
+0.041552
+0.0417574
+0.0420592
+0.0424661
+0.0428953
+0.0432402
+0.0436469
+0.0441586
+0.0447381
+0.0454083
+0.0461664
+0.046997
+0.0478341
+0.0486672
+0.049563
+0.0505256
+0.0511519
+0.0497892
+0.0484725
+0.0472208
+0.0460393
+0.0449336
+0.0439094
+0.0429702
+0.0421019
+0.0413291
+0.0406597
+0.040099
+0.0396515
+0.0393212
+0.039111
+0.0390228
+0.0390503
+0.0391838
+0.0394207
+0.039751
+0.0401954
+0.0407192
+0.0413184
+0.0420235
+0.0426675
+0.0433793
+0.0441883
+0.0450773
+0.0460452
+0.0470952
+0.0482077
+0.0493873
+0.0506341
+0.0519435
+0.0532889
+0.0545574
+0.055883
+0.0572618
+0.0586848
+0.0601099
+0.0615798
+0.0630915
+0.0776608
+0.0762654
+0.0748077
+0.0733844
+0.071995
+0.070613
+0.0692654
+0.0679539
+0.0666885
+0.065472
+0.0642984
+0.0631291
+0.061946
+0.0607213
+0.0595521
+0.0584416
+0.0573932
+0.0563579
+0.0553049
+0.0543076
+0.0533815
+0.0524879
+0.0511836
+0.049838
+0.0485541
+0.0473368
+0.0461913
+0.0451232
+0.044138
+0.0432415
+0.0424392
+0.0417366
+0.0411388
+0.0406285
+0.0402302
+0.0399483
+0.0397851
+0.0397156
+0.0396179
+0.0395829
+0.0396556
+0.0398389
+0.0400034
+0.0402167
+0.0405302
+0.040874
+0.0412514
+0.0416877
+0.0421094
+0.0426396
+0.0432389
+0.0439319
+0.0447214
+0.0455823
+0.0465245
+0.0475302
+0.0484539
+0.0494482
+0.0500509
+0.0486573
+0.0473092
+0.0460258
+0.0448128
+0.0436761
+0.0426217
+0.0416559
+0.040781
+0.0400036
+0.0393116
+0.0387314
+0.038268
+0.0379256
+0.0377076
+0.0376104
+0.0376217
+0.0377409
+0.0379812
+0.0383238
+0.0387846
+0.039312
+0.0399324
+0.040473
+0.0411061
+0.0418444
+0.042679
+0.0435879
+0.0445858
+0.04566
+0.0468013
+0.0480155
+0.0492931
+0.0506291
+0.0518702
+0.0531725
+0.0545318
+0.0559378
+0.0573569
+0.058814
+0.0603154
+0.061858
+0.07613
+0.0747539
+0.0733689
+0.0719171
+0.0705034
+0.069127
+0.0677557
+0.0664224
+0.0651273
+0.0638811
+0.0626867
+0.0615228
+0.0603792
+0.0592027
+0.0580029
+0.0568621
+0.0557841
+0.0547726
+0.0537518
+0.0527319
+0.0517777
+0.0509
+0.0499951
+0.0488368
+0.0475258
+0.0462815
+0.0451092
+0.0440148
+0.0430043
+0.0420836
+0.0412588
+0.0405358
+0.0399063
+0.039379
+0.038968
+0.0386768
+0.03841
+0.0382171
+0.0381176
+0.0380812
+0.0381562
+0.0383466
+0.0385172
+0.0387387
+0.0389886
+0.039262
+0.0396547
+0.0401633
+0.0406319
+0.0411788
+0.0417914
+0.0425081
+0.0433176
+0.0442
+0.0451711
+0.0462257
+0.0473462
+0.0484383
+0.0490231
+0.0475995
+0.0462205
+0.044906
+0.0436619
+0.0424944
+0.0414099
+0.0404152
+0.0395166
+0.0387162
+0.0380252
+0.0374267
+0.0369469
+0.0365922
+0.0363662
+0.036257
+0.0362485
+0.0363669
+0.0366161
+0.0369702
+0.0374142
+0.0379543
+0.0384033
+0.0389469
+0.0396044
+0.0403566
+0.0412001
+0.0421408
+0.043163
+0.0442603
+0.0454368
+0.0466865
+0.0479984
+0.0492312
+0.0505066
+0.0518433
+0.0532294
+0.0546409
+0.0560829
+0.0575722
+0.0591052
+0.0606785
+0.0746312
+0.0732278
+0.0718629
+0.0704874
+0.0690444
+0.0676417
+0.0662781
+0.0649202
+0.0636018
+0.0623246
+0.0610993
+0.059929
+0.0587795
+0.0576548
+0.0564962
+0.0553244
+0.0542158
+0.0531744
+0.0522042
+0.0512003
+0.0502183
+0.0493128
+0.048465
+0.0475715
+0.046578
+0.0453076
+0.0441094
+0.0429896
+0.0419544
+0.0410102
+0.0401633
+0.039415
+0.0387574
+0.0382143
+0.0377587
+0.0373092
+0.0369842
+0.0367861
+0.0366868
+0.036649
+0.0367262
+0.0369241
+0.0371009
+0.0372528
+0.037417
+0.0377018
+0.0381106
+0.0386395
+0.0392212
+0.0397642
+0.0403982
+0.0411392
+0.0419756
+0.0428852
+0.0438854
+0.0449567
+0.0460928
+0.0472968
+0.0480732
+0.0466206
+0.0452118
+0.0438671
+0.0425926
+0.041395
+0.0402809
+0.0392576
+0.0383323
+0.0375101
+0.0367942
+0.0361736
+0.035677
+0.0353095
+0.0350752
+0.0349629
+0.0349485
+0.0350713
+0.0353163
+0.0356815
+0.036118
+0.0364586
+0.0369216
+0.0374867
+0.0381444
+0.0389126
+0.0397868
+0.0407482
+0.0417941
+0.0429264
+0.0441385
+0.0454233
+0.0466488
+0.0478927
+0.0492029
+0.0505657
+0.0519676
+0.053392
+0.0548668
+0.0563882
+0.0579526
+0.0595564
+0.0731555
+0.0717337
+0.0703424
+0.0689899
+0.0676249
+0.0661921
+0.0648017
+0.0634522
+0.0621066
+0.0608047
+0.0595481
+0.0583467
+0.057204
+0.0560732
+0.0549586
+0.0538318
+0.0526919
+0.0516197
+0.0506198
+0.0496963
+0.0487074
+0.0477733
+0.0469083
+0.0460371
+0.0452042
+0.0443989
+0.0431956
+0.0420514
+0.0409925
+0.0400256
+0.0391557
+0.0383691
+0.0376933
+0.0370171
+0.0364393
+0.0359733
+0.0356361
+0.0354271
+0.0352783
+0.0352652
+0.0353742
+0.0355796
+0.0356824
+0.0357392
+0.0359104
+0.036207
+0.0366325
+0.0371824
+0.0378513
+0.0384225
+0.0390736
+0.0398183
+0.0406675
+0.0415964
+0.0426125
+0.0437149
+0.0448776
+0.0461134
+0.047206
+0.0457258
+0.0442885
+0.0429149
+0.0416113
+0.0403846
+0.0392418
+0.0381907
+0.0372389
+0.0363942
+0.0356536
+0.0350128
+0.0344995
+0.0341193
+0.033875
+0.0337451
+0.0337303
+0.0338574
+0.0341059
+0.034293
+0.0345396
+0.034922
+0.0354361
+0.0360279
+0.0367376
+0.0375391
+0.0384315
+0.0394171
+0.0404799
+0.041613
+0.0428188
+0.0441002
+0.0453213
+0.0466008
+0.0479462
+0.049343
+0.0507475
+0.0522051
+0.0537126
+0.0552658
+0.056861
+0.0584842
+0.0716415
+0.070265
+0.0688532
+0.0674757
+0.0661372
+0.0647842
+0.0633629
+0.0619865
+0.0606497
+0.0593214
+0.0580381
+0.0568048
+0.0556305
+0.0545189
+0.0534094
+0.0523055
+0.0512083
+0.0501044
+0.0490735
+0.0480933
+0.04713
+0.0462146
+0.0453241
+0.0444291
+0.0436061
+0.042817
+0.0420802
+0.0411965
+0.040115
+0.0391264
+0.0382283
+0.0373172
+0.0364993
+0.0357927
+0.0351569
+0.0346201
+0.0342153
+0.0339458
+0.0337906
+0.033777
+0.0339011
+0.0340922
+0.0342397
+0.0342988
+0.0344771
+0.034786
+0.0352287
+0.0358002
+0.0364944
+0.0371279
+0.037784
+0.0385537
+0.039418
+0.0403702
+0.0414147
+0.0425256
+0.0437181
+0.0449857
+0.0463222
+0.0449201
+0.0434562
+0.0420554
+0.0407243
+0.03947
+0.0383
+0.0372223
+0.036245
+0.0353766
+0.0346143
+0.0339539
+0.0334243
+0.0330317
+0.0327621
+0.0326283
+0.0326138
+0.0325613
+0.0325556
+0.0326862
+0.0329448
+0.0333455
+0.0338835
+0.0345068
+0.0352356
+0.0360684
+0.0370122
+0.0380526
+0.0391231
+0.0402843
+0.0415283
+0.0428196
+0.0440628
+0.0453778
+0.0467584
+0.048156
+0.0495941
+0.0510847
+0.0526243
+0.0542087
+0.0558277
+0.0574472
+0.0701602
+0.0687577
+0.067393
+0.0659925
+0.0646305
+0.0633076
+0.0619682
+0.06056
+0.0591995
+0.0578773
+0.0565688
+0.0553067
+0.0540999
+0.0529562
+0.0518724
+0.050795
+0.049702
+0.0486089
+0.0475322
+0.0464924
+0.0455091
+0.044585
+0.04371
+0.0428615
+0.0420197
+0.0412605
+0.0405262
+0.0398267
+0.0391755
+0.0382225
+0.0371739
+0.0362275
+0.0353025
+0.0344907
+0.0338016
+0.0332429
+0.0328212
+0.0325418
+0.0323829
+0.0323687
+0.0323939
+0.0325038
+0.0327602
+0.0329413
+0.0331269
+0.0334483
+0.0339084
+0.0345018
+0.0352216
+0.0359022
+0.0365803
+0.0373672
+0.0382441
+0.0392221
+0.0402746
+0.041416
+0.0426396
+0.0439383
+0.0453058
+0.0441917
+0.0427188
+0.0412943
+0.0399379
+0.0386581
+0.0374627
+0.0363602
+0.0353591
+0.0344684
+0.0336855
+0.0330066
+0.0324615
+0.0320485
+0.031761
+0.0313953
+0.0311119
+0.0309812
+0.0309962
+0.0311446
+0.0314219
+0.0318418
+0.0324047
+0.03305
+0.0338066
+0.0346737
+0.0356545
+0.0367257
+0.0378337
+0.0390328
+0.0403
+0.0416008
+0.0428794
+0.0442295
+0.045625
+0.0470412
+0.0485123
+0.0500351
+0.051606
+0.0532118
+0.0548199
+0.0564173
+0.0687168
+0.0672841
+0.0658932
+0.0645419
+0.0631542
+0.0618096
+0.0605043
+0.0591803
+0.0577873
+0.0564449
+0.0551396
+0.0538537
+0.052616
+0.0514393
+0.0503305
+0.0492738
+0.048189
+0.0470734
+0.0459656
+0.0449325
+0.0439233
+0.042993
+0.0421021
+0.0412477
+0.0404253
+0.0396865
+0.0389732
+0.038306
+0.0376417
+0.0370576
+0.036118
+0.0350522
+0.034094
+0.0332528
+0.0325375
+0.0319567
+0.0315177
+0.0312267
+0.0310661
+0.0309135
+0.0308736
+0.030989
+0.0312578
+0.0316762
+0.0318702
+0.0322041
+0.0326817
+0.033297
+0.0340423
+0.0347022
+0.0354353
+0.0362266
+0.0371304
+0.0381315
+0.0392173
+0.0403926
+0.0416483
+0.0429772
+0.0443743
+0.043557
+0.0420625
+0.0406312
+0.0392581
+0.0379554
+0.0367372
+0.0356122
+0.0345895
+0.0336784
+0.0328767
+0.0321807
+0.0315386
+0.0308827
+0.0303355
+0.0299075
+0.0296099
+0.0294726
+0.0294924
+0.0296484
+0.0299559
+0.0303961
+0.0309853
+0.0316733
+0.0324627
+0.0333647
+0.0343828
+0.0354696
+0.0366245
+0.0378502
+0.0391552
+0.040464
+0.0417773
+0.0431601
+0.0445545
+0.0460037
+0.047507
+0.0490606
+0.0506491
+0.0522441
+0.0538288
+0.0554548
+0.0673108
+0.0658506
+0.0644287
+0.0630509
+0.0617146
+0.0603414
+0.0590162
+0.0577312
+0.0564248
+0.0550492
+0.0537278
+0.052442
+0.0511819
+0.0499724
+0.0488303
+0.0477615
+0.0466259
+0.0455202
+0.044418
+0.0433588
+0.0423682
+0.0414267
+0.0405169
+0.0396461
+0.0388492
+0.0380846
+0.0374055
+0.0367663
+0.0361619
+0.0355925
+0.035058
+0.0339764
+0.0329869
+0.0321167
+0.0313755
+0.0307728
+0.0303167
+0.030014
+0.0296837
+0.0294798
+0.029438
+0.029559
+0.0298407
+0.0302787
+0.0307184
+0.0310647
+0.0315596
+0.0321963
+0.0328396
+0.0334614
+0.0342124
+0.0350739
+0.0360343
+0.0370488
+0.0381471
+0.0393362
+0.0406087
+0.0419509
+0.0433596
+0.0430246
+0.0415109
+0.04006
+0.0386776
+0.0373423
+0.036046
+0.0348394
+0.0337186
+0.0326841
+0.0317166
+0.0308497
+0.0300496
+0.0293621
+0.0288235
+0.0284438
+0.0281771
+0.0280327
+0.0280591
+0.0282428
+0.0285706
+0.0290318
+0.0296481
+0.0303923
+0.0312148
+0.0321518
+0.0331511
+0.0342582
+0.0354438
+0.0367169
+0.0380624
+0.039416
+0.040757
+0.0421489
+0.043568
+0.0450489
+0.0465755
+0.048148
+0.049728
+0.0512969
+0.0529065
+0.05455
+0.0659363
+0.0644562
+0.0630063
+0.0615966
+0.0602337
+0.0589146
+0.0575579
+0.0562537
+0.0549928
+0.0537066
+0.0523513
+0.051054
+0.0497911
+0.04856
+0.047384
+0.0462817
+0.0451054
+0.0439731
+0.0428949
+0.0418236
+0.040815
+0.0398766
+0.0389599
+0.0380864
+0.0372772
+0.0365438
+0.0358569
+0.0352365
+0.0346958
+0.0341645
+0.0336978
+0.0329925
+0.0319918
+0.0310937
+0.0303275
+0.0297035
+0.0292308
+0.0287198
+0.028355
+0.0281415
+0.0280977
+0.0282244
+0.0285193
+0.0289773
+0.0294977
+0.0300421
+0.0305244
+0.031065
+0.0315699
+0.0322162
+0.0329927
+0.0338705
+0.0348398
+0.0358867
+0.0370195
+0.0382436
+0.0395427
+0.0409171
+0.0423603
+0.0419512
+0.0403622
+0.0388319
+0.0373604
+0.0359573
+0.0346173
+0.0333591
+0.0322008
+0.031131
+0.0301752
+0.0293119
+0.0285668
+0.0279307
+0.0273639
+0.0269637
+0.0267293
+0.0266468
+0.0266904
+0.0268972
+0.0272588
+0.027768
+0.0284119
+0.0292063
+0.0300499
+0.03096
+0.0319945
+0.0331158
+0.0343355
+0.0356482
+0.0370367
+0.0384474
+0.0398202
+0.0412213
+0.0426712
+0.0441584
+0.0456033
+0.0471058
+0.0486586
+0.05025
+0.0518818
+0.0534494
+0.0645738
+0.0630955
+0.061625
+0.0601871
+0.0587915
+0.0574455
+0.0561458
+0.0548083
+0.0535269
+0.0522945
+0.0510161
+0.0496871
+0.0484175
+0.0471947
+0.0459746
+0.044793
+0.0436377
+0.0424683
+0.0413801
+0.0403215
+0.0393022
+0.0383517
+0.0374335
+0.0365571
+0.0357501
+0.0350077
+0.0343564
+0.0337584
+0.0332153
+0.0327861
+0.0321859
+0.0316302
+0.0310988
+0.0301952
+0.0294057
+0.0287491
+0.0280535
+0.0275152
+0.0271343
+0.0269111
+0.0268653
+0.0269978
+0.0273059
+0.0277819
+0.0283262
+0.0289123
+0.0293541
+0.0298806
+0.0304052
+0.0310757
+0.0318614
+0.0327696
+0.0337438
+0.0348237
+0.0359887
+0.0372205
+0.0385277
+0.0399035
+0.0413371
+0.0407603
+0.0391602
+0.037581
+0.0360656
+0.0346192
+0.0332448
+0.0319575
+0.0307465
+0.0296481
+0.0286448
+0.0277764
+0.0270462
+0.0264193
+0.0259463
+0.0255785
+0.0253436
+0.0252566
+0.0253592
+0.0256415
+0.026037
+0.0265789
+0.0272644
+0.0280919
+0.0289352
+0.0298747
+0.0309179
+0.0320767
+0.0333345
+0.0346851
+0.036111
+0.037568
+0.0389553
+0.0402731
+0.0416224
+0.0430409
+0.0445221
+0.0460599
+0.0476468
+0.0491765
+0.0507331
+0.0523352
+0.0632094
+0.061724
+0.0602801
+0.0588208
+0.0573966
+0.0560172
+0.0546907
+0.0534133
+0.0520977
+0.0508425
+0.0496422
+0.0483447
+0.0470736
+0.0458013
+0.0445114
+0.043294
+0.0421517
+0.0410105
+0.0398844
+0.0388291
+0.037819
+0.0368678
+0.0359142
+0.0350582
+0.0342662
+0.0335344
+0.0328738
+0.0322996
+0.0318168
+0.0312351
+0.030617
+0.0301324
+0.0296863
+0.0292896
+0.0285791
+0.0277159
+0.0269974
+0.0264376
+0.0260409
+0.0258083
+0.0257605
+0.0258986
+0.0262175
+0.0266349
+0.0270966
+0.0276788
+0.0282809
+0.0288007
+0.0293579
+0.030038
+0.0308445
+0.0316686
+0.0326134
+0.0336736
+0.0348229
+0.0360598
+0.0373842
+0.0387872
+0.0402605
+0.0395979
+0.0379562
+0.0363715
+0.0348443
+0.0333578
+0.0319386
+0.0306006
+0.0293653
+0.0282265
+0.0272029
+0.0262889
+0.0255286
+0.0249354
+0.0244623
+0.0241381
+0.0240018
+0.0239861
+0.0240941
+0.0243725
+0.0248305
+0.0254445
+0.0261923
+0.027086
+0.0279382
+0.0288853
+0.0299629
+0.0311573
+0.0324507
+0.0338366
+0.0352971
+0.0366269
+0.0378573
+0.0391673
+0.0405534
+0.042008
+0.0435244
+0.0450312
+0.0465203
+0.0480631
+0.0496547
+0.0512904
+0.0618925
+0.0603747
+0.0588993
+0.0574695
+0.0560475
+0.0546393
+0.0532786
+0.0519746
+0.0507219
+0.0494327
+0.0482076
+0.0469019
+0.0456133
+0.0443722
+0.0431099
+0.0418517
+0.0406727
+0.0395766
+0.0384408
+0.0373653
+0.036363
+0.0354013
+0.0344579
+0.0335781
+0.0327953
+0.0321019
+0.0314554
+0.0309035
+0.0303672
+0.0296809
+0.0291069
+0.0286187
+0.0282699
+0.0278581
+0.0272955
+0.0268142
+0.0260769
+0.0255031
+0.0250916
+0.0248501
+0.0248005
+0.0248196
+0.0250047
+0.0253438
+0.0258461
+0.0264704
+0.0272206
+0.027779
+0.0283491
+0.0289387
+0.029643
+0.0304758
+0.0314299
+0.032501
+0.0336807
+0.034958
+0.0363226
+0.037765
+0.0392752
+0.0385189
+0.0368356
+0.0352004
+0.0336201
+0.0321115
+0.0306852
+0.0293259
+0.0280345
+0.0268599
+0.0258181
+0.0248999
+0.0240937
+0.0234648
+0.0229979
+0.0227254
+0.0225926
+0.0226579
+0.0228754
+0.0231965
+0.0237159
+0.024384
+0.0251893
+0.0261302
+0.027052
+0.0280291
+0.0291384
+0.0303653
+0.0316938
+0.0330857
+0.0342422
+0.035482
+0.0367944
+0.0381547
+0.0395769
+0.0410426
+0.0424548
+0.0439219
+0.0454474
+0.0470254
+0.0486172
+0.050239
+0.0605788
+0.0590759
+0.0575672
+0.0561035
+0.0546884
+0.0533075
+0.0519167
+0.050578
+0.0492939
+0.0480652
+0.046821
+0.0454958
+0.044183
+0.0429298
+0.0417259
+0.0404767
+0.0392565
+0.0381231
+0.0370635
+0.0359468
+0.0349318
+0.0339834
+0.0330459
+0.0321524
+0.0313618
+0.0306783
+0.0300967
+0.0294787
+0.0287973
+0.0281687
+0.0275936
+0.0271537
+0.0267989
+0.0263179
+0.025775
+0.0253575
+0.0251097
+0.0246942
+0.0242474
+0.0238421
+0.0236338
+0.0236276
+0.0238237
+0.0241825
+0.0247267
+0.0253939
+0.026175
+0.0267511
+0.0271655
+0.0277415
+0.0284615
+0.0293279
+0.0303182
+0.0314271
+0.0326457
+0.0339619
+0.0353634
+0.0368332
+0.0383412
+0.0374584
+0.0357569
+0.0341043
+0.0324975
+0.0309343
+0.0294511
+0.0280607
+0.0267775
+0.0255864
+0.0244904
+0.0235478
+0.0227449
+0.0220777
+0.0216129
+0.0213015
+0.0211905
+0.0213053
+0.0216018
+0.022037
+0.0226637
+0.0233783
+0.024255
+0.0252824
+0.0261739
+0.0271825
+0.0282257
+0.0293654
+0.0306196
+0.031785
+0.0329578
+0.034205
+0.0355279
+0.0368999
+0.038299
+0.0397551
+0.0412548
+0.0428015
+0.0443778
+0.0459641
+0.0475754
+0.0492308
+0.0592166
+0.0577556
+0.0562689
+0.054791
+0.0533411
+0.0519388
+0.0505251
+0.0491508
+0.0478371
+0.0465795
+0.0453797
+0.0441128
+0.0427998
+0.0415172
+0.0402867
+0.0390772
+0.0378942
+0.0367392
+0.0356604
+0.0345722
+0.0335308
+0.0325331
+0.0316452
+0.0307762
+0.0299753
+0.0292863
+0.0286041
+0.0278357
+0.0271785
+0.0266058
+0.026153
+0.0256969
+0.0252818
+0.0247431
+0.0242443
+0.0238737
+0.0236415
+0.0235694
+0.0232236
+0.0228002
+0.0225823
+0.0225758
+0.022781
+0.0231707
+0.0237388
+0.0244666
+0.0252709
+0.0256237
+0.026056
+0.0266559
+0.0274045
+0.0282977
+0.0293196
+0.030465
+0.0316925
+0.0329929
+0.0343816
+0.0358504
+0.0373835
+0.036473
+0.0347349
+0.0330384
+0.031403
+0.029821
+0.0283133
+0.0268846
+0.0255424
+0.0243238
+0.0232482
+0.0222642
+0.0213965
+0.020699
+0.0202052
+0.0199156
+0.0197968
+0.0199197
+0.0202798
+0.020825
+0.0215754
+0.0224097
+0.0233924
+0.0242951
+0.025078
+0.0259997
+0.0270559
+0.0282428
+0.0294114
+0.0305098
+0.0316881
+0.032945
+0.0342602
+0.0356136
+0.0370333
+0.0385004
+0.0400222
+0.0415701
+0.0431546
+0.0447879
+0.0464548
+0.0480899
+0.0577687
+0.0562716
+0.054779
+0.0533027
+0.0518649
+0.050448
+0.0490196
+0.047623
+0.046266
+0.0449748
+0.0437416
+0.042542
+0.0413513
+0.0401353
+0.0388651
+0.0376389
+0.036455
+0.035309
+0.0342225
+0.0331841
+0.032127
+0.0311297
+0.03021
+0.0294249
+0.0286621
+0.0279228
+0.027041
+0.0262379
+0.0255897
+0.0250378
+0.0245879
+0.0242341
+0.0236409
+0.0231416
+0.022695
+0.0223551
+0.0221772
+0.0221319
+0.022246
+0.0219283
+0.0217016
+0.0216949
+0.0219084
+0.0223185
+0.0229077
+0.0236855
+0.024146
+0.0245885
+0.0250016
+0.0255961
+0.0263598
+0.0272786
+0.0283081
+0.0294425
+0.0306781
+0.0319874
+0.0333661
+0.0348258
+0.036359
+0.0354502
+0.0336799
+0.0319617
+0.0303045
+0.0287166
+0.0272058
+0.0257477
+0.0243811
+0.0231254
+0.0219962
+0.0209916
+0.0201158
+0.0193841
+0.0188704
+0.0185836
+0.0185076
+0.0186887
+0.0190611
+0.0196353
+0.0204294
+0.0214191
+0.022361
+0.0231532
+0.0239005
+0.0248145
+0.0258821
+0.0270851
+0.0281584
+0.029262
+0.0304387
+0.0316821
+0.0329928
+0.0343591
+0.0357969
+0.0372726
+0.0387853
+0.0403577
+0.0419702
+0.0436049
+0.045252
+0.0468851
+0.0562863
+0.0548335
+0.0533167
+0.0518168
+0.0503524
+0.048926
+0.0475271
+0.0461234
+0.044747
+0.0434106
+0.0421458
+0.0409311
+0.0397388
+0.0385302
+0.0373662
+0.0361536
+0.0349849
+0.0338349
+0.0327508
+0.031722
+0.0307503
+0.0297562
+0.028856
+0.028033
+0.0273611
+0.0263951
+0.0255021
+0.0247275
+0.0240385
+0.023534
+0.02309
+0.0225867
+0.0220066
+0.0215663
+0.0211345
+0.0208316
+0.0206986
+0.0207515
+0.0209128
+0.0211407
+0.0210134
+0.0210064
+0.0212258
+0.0216255
+0.0222331
+0.0225225
+0.0229186
+0.0234892
+0.0239213
+0.024542
+0.0252842
+0.0261698
+0.0272034
+0.0283582
+0.0295871
+0.0309226
+0.0323461
+0.0338469
+0.0354019
+0.0344036
+0.0326476
+0.0309445
+0.0292297
+0.0275824
+0.0260154
+0.024544
+0.0231632
+0.0218952
+0.020752
+0.0197242
+0.0188741
+0.0181954
+0.0176882
+0.017386
+0.017343
+0.0175362
+0.0179678
+0.0186195
+0.0194551
+0.0202811
+0.0212415
+0.0219432
+0.0227297
+0.0236499
+0.024722
+0.0258648
+0.0269418
+0.027998
+0.029162
+0.0304337
+0.0317526
+0.0331263
+0.0345583
+0.0360488
+0.0375872
+0.0391483
+0.0407503
+0.0423837
+0.043986
+0.0456216
+0.0547179
+0.0532921
+0.0518874
+0.0503637
+0.0488713
+0.0474199
+0.046008
+0.0446302
+0.0432531
+0.0419027
+0.0405909
+0.0393282
+0.0381033
+0.0369488
+0.0357549
+0.0346352
+0.0334981
+0.0323843
+0.0313022
+0.0302899
+0.0293015
+0.0283781
+0.0275014
+0.0267348
+0.0260259
+0.0249466
+0.0240097
+0.0232177
+0.022563
+0.0220313
+0.0216164
+0.0209568
+0.0203871
+0.0199899
+0.0195892
+0.0193428
+0.0192645
+0.0193252
+0.0195217
+0.0198917
+0.020182
+0.0203485
+0.0207109
+0.0208728
+0.0210876
+0.0213377
+0.0217554
+0.0223807
+0.0228473
+0.0234293
+0.0241848
+0.0251006
+0.026105
+0.0272488
+0.0285153
+0.0298887
+0.0313216
+0.0328147
+0.0343826
+0.0333874
+0.0316094
+0.0298695
+0.0281717
+0.0265447
+0.0249482
+0.0234098
+0.0219824
+0.0206585
+0.0194741
+0.0184745
+0.017586
+0.016894
+0.01645
+0.0162392
+0.0163172
+0.0165427
+0.0170199
+0.0177214
+0.0183286
+0.0191368
+0.0200499
+0.0207053
+0.0214887
+0.0224199
+0.0235175
+0.0246634
+0.0256305
+0.0267182
+0.0279357
+0.0291929
+0.0304993
+0.0318896
+0.0333267
+0.0348032
+0.0363394
+0.037927
+0.0395128
+0.0411102
+0.0427194
+0.0443778
+0.0531936
+0.0517257
+0.0503104
+0.0489203
+0.0474293
+0.045946
+0.044507
+0.0431151
+0.0417621
+0.0404148
+0.0390969
+0.0377844
+0.0365077
+0.0353209
+0.0341811
+0.0330326
+0.0319705
+0.0309044
+0.0298423
+0.0287942
+0.0278522
+0.0269526
+0.0261474
+0.0253509
+0.0244863
+0.0236063
+0.0226207
+0.0218014
+0.0211205
+0.0205773
+0.0199509
+0.0193551
+0.0188115
+0.0184241
+0.018116
+0.0178784
+0.017832
+0.0179152
+0.0181895
+0.0186637
+0.0190327
+0.0192164
+0.0194583
+0.0195623
+0.0198711
+0.0202195
+0.0206802
+0.0212905
+0.0217519
+0.0223404
+0.0230696
+0.0239774
+0.0250445
+0.0262207
+0.0274722
+0.0288338
+0.0302911
+0.0318325
+0.0334465
+0.0324744
+0.0306513
+0.0288712
+0.027151
+0.0254708
+0.0238624
+0.0223396
+0.0209199
+0.0195526
+0.0183084
+0.0172436
+0.0164037
+0.0157493
+0.0152722
+0.0150449
+0.0151347
+0.0155329
+0.0161663
+0.016584
+0.0171674
+0.0179246
+0.0187542
+0.0194997
+0.0203292
+0.0213107
+0.0224012
+0.0233682
+0.0243878
+0.0255019
+0.0266772
+0.0279203
+0.0292363
+0.0306116
+0.0320578
+0.0335584
+0.0351224
+0.0366789
+0.0382427
+0.0398467
+0.0414654
+0.043127
+0.051711
+0.0502061
+0.0487467
+0.0473438
+0.0459705
+0.044517
+0.0430448
+0.0416209
+0.0402528
+0.0389292
+0.0375897
+0.0362574
+0.0349766
+0.0337359
+0.0325954
+0.0314688
+0.0303716
+0.029372
+0.0283789
+0.0273593
+0.0263823
+0.0255399
+0.024756
+0.023765
+0.022847
+0.0221076
+0.0213627
+0.0205001
+0.019807
+0.0190865
+0.0183731
+0.0177792
+0.0172216
+0.0169215
+0.0166642
+0.0164912
+0.0164564
+0.0165843
+0.0169542
+0.0174973
+0.0176732
+0.0180641
+0.0182032
+0.0183144
+0.0186503
+0.0190623
+0.0195841
+0.0202764
+0.0206942
+0.0212762
+0.0220425
+0.0229384
+0.0239952
+0.0251748
+0.026475
+0.0278835
+0.029388
+0.0309616
+0.0325474
+0.0315767
+0.0297384
+0.0279441
+0.0261771
+0.0244759
+0.022846
+0.0212811
+0.019794
+0.0184477
+0.0172376
+0.0161827
+0.0152935
+0.0146347
+0.0141914
+0.0140442
+0.0141402
+0.0145687
+0.0149926
+0.0154197
+0.0160158
+0.0167567
+0.0175608
+0.0183041
+0.0191295
+0.0201216
+0.0212549
+0.0221406
+0.0231237
+0.0242002
+0.0253798
+0.0266357
+0.0279461
+0.0293321
+0.0307993
+0.0323113
+0.0338808
+0.0354135
+0.0369688
+0.0385753
+0.0402222
+0.0419076
+0.0502415
+0.0487229
+0.0472328
+0.0457835
+0.044395
+0.0430416
+0.0416259
+0.0401731
+0.0387674
+0.0374262
+0.0361168
+0.0347611
+0.0334524
+0.0322173
+0.0309967
+0.029884
+0.0288276
+0.0277967
+0.0268776
+0.0259324
+0.024944
+0.02409
+0.0232315
+0.0222254
+0.0213
+0.020506
+0.0199225
+0.0192196
+0.0183221
+0.0174821
+0.0167676
+0.0161087
+0.0156549
+0.0153594
+0.0151585
+0.0151052
+0.0151218
+0.0153555
+0.015776
+0.0161433
+0.0163532
+0.0168477
+0.0169981
+0.0171721
+0.0175694
+0.0179504
+0.0185074
+0.0192317
+0.0197227
+0.0202708
+0.0210073
+0.0219387
+0.0230258
+0.0242481
+0.0255911
+0.0270093
+0.0284943
+0.0299933
+0.0315244
+0.0306021
+0.0288288
+0.0270396
+0.0252435
+0.0235144
+0.0218535
+0.020254
+0.0187662
+0.0173934
+0.016167
+0.0151034
+0.0142459
+0.0135905
+0.0132585
+0.013116
+0.0132889
+0.0136039
+0.0138431
+0.0142488
+0.0148567
+0.0155487
+0.0164086
+0.0171358
+0.0179472
+0.0189529
+0.0200258
+0.020857
+0.0217929
+0.0228677
+0.024059
+0.0253448
+0.0266727
+0.0280688
+0.0295513
+0.031108
+0.0325769
+0.034109
+0.0357052
+0.0373351
+0.0390155
+0.0407298
+0.048826
+0.047262
+0.0457495
+0.0442767
+0.0428394
+0.0414681
+0.040138
+0.038764
+0.0373376
+0.0359545
+0.0346043
+0.0333125
+0.0319542
+0.0306463
+0.0294435
+0.0282998
+0.0272392
+0.0262592
+0.0253365
+0.0244855
+0.0235212
+0.022639
+0.0216159
+0.0206579
+0.0197956
+0.0190124
+0.0183815
+0.0177316
+0.0167503
+0.0158897
+0.0152053
+0.0145536
+0.0140849
+0.0138337
+0.0137036
+0.0137329
+0.0138589
+0.0141735
+0.0147085
+0.0147791
+0.0150712
+0.0156064
+0.0158837
+0.0160751
+0.0164404
+0.0169136
+0.0174959
+0.0182676
+0.0187507
+0.0192974
+0.0200676
+0.0210139
+0.0221371
+0.0233995
+0.024718
+0.0260308
+0.0274335
+0.0289342
+0.0305186
+0.0294786
+0.0277956
+0.0260471
+0.0243361
+0.0226338
+0.0209184
+0.0192983
+0.0177885
+0.0163812
+0.0151306
+0.0140544
+0.0132103
+0.0126191
+0.0122446
+0.0121905
+0.0124974
+0.0124461
+0.0126567
+0.0130887
+0.0135984
+0.0143493
+0.0152588
+0.0159846
+0.0168721
+0.0178521
+0.018749
+0.0195394
+0.0204712
+0.0215615
+0.0227694
+0.024057
+0.0254142
+0.0268535
+0.028344
+0.0297789
+0.0312914
+0.0328552
+0.0344711
+0.0361377
+0.0378559
+0.0395581
+0.0474278
+0.0458569
+0.0442989
+0.0427938
+0.0413414
+0.0399186
+0.0385679
+0.0372658
+0.0359413
+0.0345382
+0.0331606
+0.0318176
+0.0304798
+0.0291102
+0.0278411
+0.0266861
+0.0256034
+0.0246337
+0.0237777
+0.0229473
+0.0220086
+0.0210264
+0.0199815
+0.0190679
+0.0182471
+0.0175408
+0.0169668
+0.0161614
+0.0152549
+0.0143749
+0.013681
+0.0130469
+0.0126053
+0.0123716
+0.0122984
+0.012369
+0.0126533
+0.0130501
+0.0133059
+0.0133941
+0.0137816
+0.0144619
+0.0148073
+0.0150056
+0.0153758
+0.0158662
+0.0165605
+0.0173835
+0.017918
+0.0184658
+0.0192105
+0.0201615
+0.0212197
+0.0223649
+0.0236516
+0.0249959
+0.0264535
+0.0280068
+0.0296407
+0.0283537
+0.0265997
+0.0249148
+0.0233142
+0.0216424
+0.0200345
+0.0184691
+0.0168979
+0.0154434
+0.0141536
+0.0130812
+0.0121821
+0.0116221
+0.011358
+0.0114134
+0.0112484
+0.0111893
+0.0114212
+0.0118847
+0.0123913
+0.0132113
+0.0141791
+0.0147766
+0.0155594
+0.0165755
+0.0174683
+0.0182232
+0.019188
+0.0203008
+0.0215556
+0.022831
+0.0241924
+0.0255951
+0.027045
+0.0284975
+0.0300164
+0.0316142
+0.0332796
+0.0349686
+0.036674
+0.0384287
+0.0459818
+0.0444606
+0.0428939
+0.0413555
+0.0398596
+0.0384305
+0.0370267
+0.035701
+0.0344328
+0.0331594
+0.0317455
+0.0303994
+0.0290546
+0.0276583
+0.0263236
+0.0251048
+0.0240086
+0.0230083
+0.022142
+0.0213845
+0.0205466
+0.0194338
+0.0183839
+0.0174511
+0.0167068
+0.0160311
+0.0154986
+0.0146566
+0.0138361
+0.0129062
+0.0122083
+0.0116511
+0.0112615
+0.0109948
+0.0109622
+0.0110452
+0.0113787
+0.0118898
+0.0120746
+0.0122188
+0.0126423
+0.0133794
+0.0136865
+0.0139328
+0.014424
+0.0149239
+0.0156285
+0.0164595
+0.0170675
+0.0175822
+0.0182238
+0.0190841
+0.0201125
+0.0213173
+0.0226701
+0.024116
+0.0256238
+0.0271703
+0.0287955
+0.0273495
+0.0255265
+0.0237657
+0.022082
+0.0204923
+0.0190129
+0.0174554
+0.0159795
+0.0146831
+0.0133513
+0.0122297
+0.0113471
+0.0108075
+0.0104936
+0.0101597
+0.0100167
+0.0100152
+0.0102699
+0.0107358
+0.0112943
+0.0121605
+0.0128948
+0.0134721
+0.0143013
+0.015365
+0.0162124
+0.0170066
+0.017984
+0.0191308
+0.0203309
+0.0215653
+0.022916
+0.0243074
+0.0257236
+0.0272209
+0.0288072
+0.0304539
+0.0321206
+0.0338277
+0.0355871
+0.0373731
+0.0445368
+0.042991
+0.0414956
+0.0399516
+0.0384364
+0.0369523
+0.0355412
+0.0341709
+0.032876
+0.0316494
+0.030398
+0.029015
+0.0276607
+0.0262329
+0.0248936
+0.023613
+0.0224627
+0.0214448
+0.020553
+0.0198148
+0.0190752
+0.0179536
+0.0168114
+0.0158859
+0.0151042
+0.0145704
+0.0140962
+0.0131637
+0.0123669
+0.0114641
+0.0107983
+0.0102753
+0.00994056
+0.00966938
+0.00965746
+0.00978185
+0.0101752
+0.0106453
+0.0110541
+0.0112624
+0.0117632
+0.0123944
+0.0125183
+0.012839
+0.0132717
+0.0138552
+0.0147441
+0.0154789
+0.0160123
+0.0164839
+0.017167
+0.0180912
+0.0191925
+0.0204515
+0.0218259
+0.0232167
+0.0246649
+0.0262133
+0.0278482
+0.0264521
+0.0245967
+0.022764
+0.0210001
+0.0193216
+0.017745
+0.0163107
+0.0150147
+0.0136269
+0.012451
+0.0114411
+0.0106074
+0.00982383
+0.0092601
+0.00888872
+0.0088038
+0.00879518
+0.00906806
+0.00959542
+0.0102418
+0.0111839
+0.0116422
+0.0122141
+0.0130263
+0.0140674
+0.0151115
+0.0158559
+0.0168007
+0.0179205
+0.0190561
+0.0203074
+0.0216452
+0.0230179
+0.0244833
+0.026049
+0.0276708
+0.0293233
+0.0310297
+0.03278
+0.0345611
+0.0363477
+0.043058
+0.0415365
+0.0400166
+0.0385302
+0.0370312
+0.0355403
+0.0340785
+0.0326903
+0.0313494
+0.0300925
+0.0289274
+0.0275255
+0.0261482
+0.0248273
+0.0234699
+0.0221973
+0.0209811
+0.0199288
+0.0190405
+0.0182392
+0.01742
+0.0163597
+0.0153625
+0.0143604
+0.013622
+0.0130345
+0.0126986
+0.0116994
+0.0108815
+0.0100109
+0.00939724
+0.00886989
+0.00855574
+0.00836963
+0.00839111
+0.00859765
+0.00900765
+0.00955712
+0.0102841
+0.0105077
+0.0110918
+0.011352
+0.0114784
+0.0118119
+0.0122332
+0.0128734
+0.0137811
+0.0144882
+0.0150738
+0.0155405
+0.0162056
+0.0171271
+0.0182633
+0.0195495
+0.0208061
+0.0221973
+0.0237079
+0.0253149
+0.0270042
+0.0255621
+0.0237191
+0.0219307
+0.0200996
+0.0183389
+0.0166696
+0.0151338
+0.0137763
+0.012456
+0.0112362
+0.0103417
+0.00950994
+0.00869539
+0.00797988
+0.00769139
+0.0074771
+0.00750564
+0.00784405
+0.00838735
+0.00915928
+0.0101529
+0.0104301
+0.0109213
+0.0117729
+0.0129012
+0.013894
+0.014698
+0.0155942
+0.0166445
+0.0178271
+0.0190606
+0.0204003
+0.0218215
+0.0233514
+0.0249609
+0.0265824
+0.0282606
+0.0300041
+0.031789
+0.0335677
+0.0353904
+0.0416384
+0.0400664
+0.0385516
+0.0370624
+0.0355875
+0.0341344
+0.0326582
+0.0312248
+0.0298651
+0.0285811
+0.0273724
+0.0260866
+0.0246564
+0.0233178
+0.0220538
+0.0207961
+0.0195991
+0.018494
+0.0175122
+0.0166494
+0.0157927
+0.0146882
+0.0137589
+0.0129057
+0.0122072
+0.0117013
+0.0111639
+0.0102305
+0.00941446
+0.0086598
+0.00800266
+0.0074728
+0.00726803
+0.00722875
+0.00721399
+0.00743111
+0.00791641
+0.00863892
+0.00958271
+0.00983176
+0.0102168
+0.0101958
+0.0103161
+0.0107381
+0.0112505
+0.0119331
+0.0127837
+0.0135239
+0.0141082
+0.0145107
+0.0152209
+0.0161985
+0.0173512
+0.0185596
+0.0198872
+0.0213491
+0.0229209
+0.0245795
+0.0262698
+0.0247568
+0.0229326
+0.0210774
+0.0192855
+0.0175757
+0.015826
+0.0141993
+0.0126307
+0.0112523
+0.0101035
+0.00909887
+0.0085314
+0.00762432
+0.00687918
+0.00643965
+0.00627316
+0.00625893
+0.00673465
+0.00725716
+0.00804504
+0.00912281
+0.00932412
+0.009859
+0.0107445
+0.0119696
+0.0126487
+0.0133973
+0.0143298
+0.0154291
+0.0166231
+0.0179048
+0.0192905
+0.0207643
+0.0223143
+0.0238909
+0.0255581
+0.0272842
+0.0290444
+0.0308231
+0.0326519
+0.0344916
+0.0402002
+0.0386611
+0.0370924
+0.0355861
+0.0341247
+0.0326736
+0.0312297
+0.0297716
+0.028348
+0.0270202
+0.0258103
+0.024663
+0.0232378
+0.0218409
+0.0205647
+0.019379
+0.0182045
+0.0170392
+0.0160232
+0.0151243
+0.0141897
+0.0130685
+0.0121279
+0.0113517
+0.0107597
+0.0104644
+0.00973256
+0.00874311
+0.00798116
+0.00728779
+0.00663807
+0.00616596
+0.00597173
+0.00587953
+0.00609199
+0.00643146
+0.00698361
+0.00784467
+0.0084721
+0.0089519
+0.0090231
+0.00900151
+0.00919546
+0.00955901
+0.0102163
+0.0110375
+0.0118881
+0.0126695
+0.0133234
+0.0136889
+0.0143105
+0.0152248
+0.0163828
+0.0177369
+0.0191453
+0.0206598
+0.0222354
+0.0238399
+0.0255317
+0.0239706
+0.0221471
+0.0203946
+0.0185697
+0.0167959
+0.0151318
+0.0133408
+0.0116387
+0.0101262
+0.00890045
+0.00809286
+0.00746418
+0.00656217
+0.00574303
+0.00524372
+0.00505705
+0.00507224
+0.00563828
+0.00624222
+0.00715792
+0.00807119
+0.00854143
+0.00903932
+0.00999488
+0.0107057
+0.0113839
+0.012154
+0.013107
+0.0142193
+0.0154419
+0.0167443
+0.0182076
+0.0197101
+0.0212723
+0.0228909
+0.0245676
+0.026298
+0.0280661
+0.0298815
+0.0316772
+0.0335199
+0.0386888
+0.0372337
+0.0357044
+0.0341404
+0.0326453
+0.0312062
+0.0297839
+0.0283231
+0.0268863
+0.0255211
+0.0242365
+0.0230144
+0.0218089
+0.0204513
+0.019113
+0.0179226
+0.0168038
+0.0156333
+0.0145652
+0.0136284
+0.0126697
+0.0114997
+0.0105198
+0.00986366
+0.00933252
+0.00911466
+0.00823551
+0.00729126
+0.00649814
+0.00577266
+0.00521745
+0.00482894
+0.00485885
+0.00467223
+0.00486052
+0.00535155
+0.00615089
+0.00704527
+0.00739247
+0.00801789
+0.00786441
+0.00784201
+0.00806742
+0.00842978
+0.00911605
+0.0101153
+0.0110584
+0.0119095
+0.0124554
+0.0128178
+0.0134805
+0.0144474
+0.015663
+0.0170742
+0.018594
+0.0200361
+0.0215819
+0.0232121
+0.0247877
+0.0233281
+0.0214481
+0.0196327
+0.0178858
+0.0162309
+0.0144869
+0.0127438
+0.0109691
+0.00934883
+0.00800493
+0.00709615
+0.00630648
+0.00540924
+0.00466383
+0.00415298
+0.00392378
+0.003964
+0.00444986
+0.00518856
+0.00614675
+0.00715606
+0.0078469
+0.0085147
+0.00915701
+0.00948794
+0.0101605
+0.0109869
+0.011936
+0.0130544
+0.0143045
+0.01567
+0.017123
+0.0186014
+0.020205
+0.0218622
+0.0235524
+0.0253195
+0.0271197
+0.0289209
+0.0307611
+0.0326364
+0.0372338
+0.0357326
+0.0342904
+0.0327519
+0.0312167
+0.0297127
+0.0282804
+0.0268805
+0.0254616
+0.0240539
+0.0227554
+0.0214397
+0.0202369
+0.0190313
+0.0177317
+0.0165163
+0.015447
+0.0143153
+0.0131858
+0.0122266
+0.0110958
+0.00998669
+0.0090173
+0.00830335
+0.0080026
+0.00778254
+0.00682089
+0.00588214
+0.00505257
+0.00436256
+0.00384045
+0.00356927
+0.00363818
+0.0034756
+0.00378226
+0.00453113
+0.00536853
+0.00607344
+0.00632301
+0.00682474
+0.00670982
+0.00668196
+0.00699324
+0.00735009
+0.00817585
+0.00922681
+0.0101782
+0.0108674
+0.0116781
+0.012211
+0.0129424
+0.0139493
+0.0152048
+0.0166549
+0.0180748
+0.0195552
+0.021038
+0.0225528
+0.0240362
+0.0226018
+0.0208455
+0.0190899
+0.0172732
+0.0155533
+0.0138941
+0.0121035
+0.0104662
+0.00901971
+0.00752463
+0.00616603
+0.00505778
+0.00417652
+0.00347356
+0.0030341
+0.00270563
+0.00269241
+0.00331226
+0.00411682
+0.00512122
+0.00617142
+0.00697371
+0.00764559
+0.00805416
+0.00837633
+0.00900285
+0.00982732
+0.0108219
+0.0119651
+0.0132547
+0.0145791
+0.0159895
+0.0175054
+0.0191523
+0.020853
+0.0225987
+0.0243793
+0.0261688
+0.0280089
+0.029833
+0.0316654
+0.0358444
+0.0342835
+0.0327938
+0.0313442
+0.0298129
+0.0282692
+0.0267622
+0.025351
+0.0240258
+0.022598
+0.0212242
+0.0199553
+0.0186875
+0.0175197
+0.0163097
+0.0151582
+0.0141141
+0.0130395
+0.0117981
+0.0108103
+0.00954126
+0.00844111
+0.00747078
+0.00685287
+0.00668283
+0.00634879
+0.00541188
+0.00449933
+0.00363577
+0.0030689
+0.00263535
+0.00240637
+0.00244544
+0.00238174
+0.0029589
+0.00382077
+0.00489357
+0.00503276
+0.0055114
+0.00566961
+0.00562202
+0.00570927
+0.00604875
+0.00661249
+0.00741552
+0.00815205
+0.00905075
+0.0096637
+0.0105936
+0.0115725
+0.0126357
+0.0137424
+0.0150152
+0.0163405
+0.0177115
+0.0190372
+0.0205109
+0.0219723
+0.021862
+0.0217729
+0.0202369
+0.0183735
+0.0165894
+0.0147881
+0.0129658
+0.0111438
+0.00939782
+0.00780716
+0.00623126
+0.00486952
+0.00372182
+0.00281006
+0.00210888
+0.00170596
+0.00153951
+0.0015369
+0.00214428
+0.00302025
+0.00404028
+0.00524134
+0.00591697
+0.00646036
+0.00694167
+0.00726529
+0.0078467
+0.008603
+0.00958155
+0.0107267
+0.0120962
+0.0134283
+0.0149411
+0.0164597
+0.0180952
+0.0198228
+0.0216208
+0.0234078
+0.0251894
+0.0270042
+0.02885
+0.0307163
+0.0344559
+0.0329118
+0.031358
+0.029883
+0.0284285
+0.0268751
+0.02534
+0.0238492
+0.022467
+0.0211902
+0.0197792
+0.0184556
+0.0172164
+0.016021
+0.0148554
+0.0137464
+0.0127886
+0.0118261
+0.0106214
+0.00951706
+0.00810258
+0.00691469
+0.00594502
+0.00542946
+0.00535545
+0.00500543
+0.00405896
+0.00309427
+0.00229658
+0.0018027
+0.00146674
+0.00138074
+0.00144267
+0.00155201
+0.00220787
+0.00313952
+0.00395811
+0.00404515
+0.00463749
+0.00464325
+0.00458858
+0.0047402
+0.00515117
+0.00584673
+0.00654795
+0.0072111
+0.00797398
+0.00859863
+0.00958404
+0.0105769
+0.011692
+0.0130818
+0.0144758
+0.0159956
+0.0172232
+0.018533
+0.019912
+0.020031
+0.0196916
+0.0195926
+0.0193544
+0.0174048
+0.0155106
+0.0136883
+0.0119306
+0.0101251
+0.00838519
+0.00670835
+0.00515916
+0.00370289
+0.00245441
+0.00138044
+0.000741514
+0.000273107
+0.000326197
+0.000385739
+0.00103145
+0.00190992
+0.00297216
+0.00432464
+0.00472054
+0.00549483
+0.00585301
+0.00613151
+0.00663083
+0.00739499
+0.00844188
+0.00968789
+0.0110253
+0.0123225
+0.0138155
+0.015435
+0.0170772
+0.0188235
+0.0205629
+0.0223566
+0.0242021
+0.0260274
+0.0279053
+0.0298029
+0.0330976
+0.031489
+0.0299215
+0.0284176
+0.0269755
+0.0254595
+0.0238959
+0.0224151
+0.0209892
+0.0196483
+0.0183668
+0.0170422
+0.0158099
+0.0146136
+0.0135064
+0.0123945
+0.0114506
+0.0105431
+0.00948402
+0.0084018
+0.00677691
+0.00548422
+0.00449926
+0.004037
+0.00425794
+0.00361652
+0.00268607
+0.00174146
+0.000993207
+0.000520936
+0.000386015
+0.000300401
+0.000260434
+0.000718653
+0.00151214
+0.00254834
+0.00280477
+0.00295774
+0.00372923
+0.00363704
+0.00361017
+0.00386983
+0.00415467
+0.00495416
+0.00568797
+0.00627378
+0.00704261
+0.00769643
+0.00873132
+0.00982087
+0.0109774
+0.0122549
+0.0136669
+0.0152596
+0.0165222
+0.0178834
+0.0185327
+0.0179067
+0.0175261
+0.0174149
+0.0175781
+0.0164526
+0.0145283
+0.0126374
+0.0108256
+0.00903158
+0.00731075
+0.00565519
+0.00409646
+0.00273933
+0.00130277
+5.91039e-05
+-0.000452166
+-0.00101122
+-0.000989509
+-0.000636956
+2.41245e-05
+0.000956235
+0.0020116
+0.00335791
+0.00365529
+0.00443505
+0.00479638
+0.00500491
+0.00540812
+0.0061879
+0.00726801
+0.00861731
+0.0098299
+0.0112407
+0.0127209
+0.0143337
+0.0160837
+0.0178026
+0.0196025
+0.0214325
+0.023247
+0.0251041
+0.0269965
+0.0289145
+0.0317853
+0.0301433
+0.0285049
+0.026942
+0.025453
+0.0240113
+0.0224812
+0.0209488
+0.0194929
+0.0181474
+0.0168403
+0.0155899
+0.0143846
+0.0132271
+0.0121555
+0.0110916
+0.0101277
+0.0092252
+0.00829544
+0.00731278
+0.00574115
+0.00416937
+0.0031137
+0.00277276
+0.00303979
+0.00217188
+0.00126232
+0.000359973
+-0.000345397
+-0.000738289
+-0.00078098
+-7.31633e-05
+-0.000682219
+2.69024e-05
+0.000872125
+0.00188769
+0.00137526
+0.0018592
+0.00263503
+0.00252364
+0.0025265
+0.0029036
+0.00320397
+0.00415197
+0.00484488
+0.00535385
+0.00617483
+0.00686739
+0.00798904
+0.00917456
+0.0103027
+0.0115984
+0.0130102
+0.0145841
+0.0160451
+0.0173975
+0.0164878
+0.0158005
+0.0153679
+0.0152409
+0.0154271
+0.0154276
+0.0135279
+0.0116597
+0.00977372
+0.0079241
+0.00618519
+0.00444246
+0.00286851
+0.00150341
+6.81996e-05
+-0.00111756
+-9.2895e-05
+0.000234289
+0.000101645
+-8.57098e-05
+-0.000509046
+4.26299e-05
+0.00122927
+0.00235377
+0.00256789
+0.00351537
+0.00379721
+0.0039743
+0.00431753
+0.00511679
+0.00622052
+0.00753615
+0.00876107
+0.0102014
+0.011728
+0.0134279
+0.0151399
+0.016917
+0.0186974
+0.0204701
+0.02231
+0.0242025
+0.026118
+0.02807
+0.0305291
+0.0288412
+0.0271813
+0.025548
+0.0239924
+0.022519
+0.021066
+0.0195236
+0.0180285
+0.0166345
+0.015333
+0.0140729
+0.0129269
+0.0118248
+0.0106861
+0.00972386
+0.00884884
+0.00798998
+0.00709079
+0.00604202
+0.00501614
+0.00333135
+0.00202894
+0.00180759
+0.00170137
+0.000750239
+-0.000173098
+-0.00100773
+-0.00100155
+-0.000808954
+-0.000794791
+-0.000914259
+-0.000961327
+-0.000587699
+0.00043541
+0.00073144
+0.000194217
+0.000979314
+0.001549
+0.00134787
+0.00154573
+0.00198727
+0.00255384
+0.00339426
+0.00408166
+0.00446557
+0.00527939
+0.00612926
+0.0072386
+0.00831676
+0.00950799
+0.0108355
+0.0122654
+0.0137957
+0.0153678
+0.0155131
+0.0144855
+0.0137208
+0.0132203
+0.0130725
+0.0132891
+0.0138532
+0.0125474
+0.0106396
+0.00878131
+0.00700318
+0.00516382
+0.0033468
+0.00174795
+0.000189555
+-0.00106928
+1.41653e-05
+0.00109802
+0.00145383
+0.0013717
+0.00116709
+0.000570965
+-0.000393271
+0.000265956
+0.0012196
+0.0014441
+0.00245496
+0.00274211
+0.00287054
+0.00334293
+0.00408003
+0.00521613
+0.00633478
+0.00780244
+0.00925447
+0.0108035
+0.0125044
+0.0142581
+0.0159493
+0.0177133
+0.0195391
+0.0214264
+0.023355
+0.0253263
+0.0273182
+0.0293759
+0.0276185
+0.0259272
+0.0242531
+0.0226122
+0.0210703
+0.0195943
+0.0181434
+0.0166064
+0.0151638
+0.0137912
+0.0125789
+0.0114446
+0.0103249
+0.00925212
+0.00828398
+0.0074592
+0.00665687
+0.00575364
+0.004781
+0.00374543
+0.00240923
+0.00156747
+0.00138681
+0.000299081
+-0.000551419
+-0.00096316
+-0.000470502
+-9.07106e-05
+0.000391494
+0.000571919
+0.000158812
+-2.62e-05
+-0.000501733
+-5.47546e-05
+-0.000362066
+-0.000721688
+0.000499829
+0.000443956
+0.000326422
+0.00045122
+0.00104085
+0.00165123
+0.00258989
+0.00319719
+0.00361939
+0.00443374
+0.00534766
+0.00643591
+0.00753014
+0.00876356
+0.0100805
+0.011481
+0.0130439
+0.0145591
+0.01372
+0.0125463
+0.0116696
+0.0110896
+0.0109129
+0.0111715
+0.0118369
+0.0117728
+0.00980109
+0.00783731
+0.00603189
+0.00413793
+0.00238778
+0.000729532
+-0.000902319
+-0.000457211
+0.00108737
+0.00233082
+0.0027612
+0.00268576
+0.00239853
+0.00158885
+0.000483028
+-0.000786031
+-6.33169e-05
+4.09593e-05
+0.00139269
+0.00172367
+0.00184131
+0.0023252
+0.00303336
+0.00408727
+0.00541133
+0.00683989
+0.00827846
+0.00983438
+0.0115413
+0.0132628
+0.0150068
+0.0168274
+0.0187171
+0.0206312
+0.0225922
+0.0245919
+0.0265971
+0.0283198
+0.0265143
+0.0247535
+0.0230601
+0.021357
+0.0197213
+0.0181983
+0.0167273
+0.0152497
+0.0137684
+0.0123511
+0.0110555
+0.00996487
+0.0087846
+0.00779773
+0.00677892
+0.00596965
+0.0051775
+0.0042904
+0.0033865
+0.00236865
+0.00103751
+0.000657584
+2.14909e-05
+-0.00104016
+-0.000392745
+9.08534e-05
+0.000424544
+0.000842118
+0.00164299
+0.00137492
+0.00122335
+0.000910379
+0.000176285
+-0.000517391
+-0.000887499
+-0.00105136
+-0.000388022
+-0.000660801
+-0.000739312
+-0.000397254
+-3.32948e-05
+0.000669835
+0.00155427
+0.0023298
+0.00293164
+0.00369825
+0.00465858
+0.00575958
+0.00689078
+0.008119
+0.00941536
+0.0107949
+0.0122593
+0.0136324
+0.0120589
+0.0107046
+0.00966217
+0.00898775
+0.00876885
+0.00908867
+0.00988447
+0.011014
+0.00910522
+0.00710071
+0.00518426
+0.00333101
+0.00148512
+-0.000217388
+-0.00108591
+0.000600969
+0.0021728
+0.00351683
+0.00407616
+0.00401361
+0.00353119
+0.00248797
+0.000557178
+-0.00071113
+-0.00128982
+-0.00102928
+0.000629429
+0.000747748
+0.000867215
+0.00121061
+0.00209086
+0.0031699
+0.00442045
+0.00573129
+0.00722708
+0.00884867
+0.0105869
+0.0123302
+0.0141372
+0.016015
+0.0179463
+0.0198688
+0.0218011
+0.0237783
+0.0256842
+0.0273286
+0.0255112
+0.0237027
+0.0219518
+0.0202199
+0.0185237
+0.016904
+0.0154117
+0.0138825
+0.0123577
+0.0110064
+0.00969513
+0.00854592
+0.00733109
+0.00628323
+0.00534351
+0.00448242
+0.00368065
+0.00283449
+0.0020933
+0.0009004
+-0.000318076
+-0.000196814
+-0.000717503
+0.000346582
+0.000888926
+0.00126906
+0.00166979
+0.00211457
+0.00282321
+0.00234768
+0.00225395
+0.00147149
+0.000780659
+-0.000481408
+-0.00193373
+-0.00126005
+-0.000609814
+-4.03676e-05
+-2.71799e-05
+-0.000284132
+-0.00101744
+-0.000217917
+0.000644726
+0.00136785
+0.002102
+0.00292689
+0.003894
+0.00506356
+0.00630647
+0.00740378
+0.00869479
+0.00999068
+0.0114046
+0.0123539
+0.0105921
+0.00902023
+0.00775464
+0.00694108
+0.0066552
+0.00707128
+0.00803019
+0.00938565
+0.00864807
+0.0065462
+0.00451752
+0.00261353
+0.000605867
+-0.00116227
+-5.66948e-05
+0.0016556
+0.00325412
+0.004659
+0.00534626
+0.00520513
+0.00450389
+0.00231989
+0.000136183
+-0.00163166
+-0.00234203
+-0.00184713
+-7.7432e-05
+-0.00021016
+-0.000105277
+0.000163127
+0.00124066
+0.00224734
+0.00321793
+0.00451239
+0.00609307
+0.00785074
+0.00965714
+0.0113475
+0.0131859
+0.0150953
+0.0170109
+0.0189595
+0.020951
+0.0229212
+0.0247063
+0.0263279
+0.0245584
+0.0227614
+0.0209517
+0.0191961
+0.0174606
+0.0157903
+0.0141959
+0.0126493
+0.0110351
+0.00957657
+0.00834353
+0.00727895
+0.0059366
+0.0047944
+0.00388773
+0.00308415
+0.00225126
+0.00152952
+0.000802553
+-0.000384431
+-0.00144221
+-0.0012068
+0.000622102
+0.00171184
+0.00227014
+0.00256326
+0.00297489
+0.00353945
+0.00403074
+0.00344133
+0.00296536
+0.00214141
+0.00130284
+-0.000832406
+-0.00199326
+-0.00035245
+0.000348487
+0.00107925
+0.000944859
+0.000671616
+-0.00013905
+-0.00106833
+-0.000324904
+0.000411809
+0.00110097
+0.0019918
+0.00307811
+0.00432718
+0.0054822
+0.00665563
+0.00795747
+0.00940624
+0.0108176
+0.0113187
+0.00941043
+0.00759867
+0.00604232
+0.00498596
+0.00459924
+0.00517729
+0.00639245
+0.0079877
+0.0083506
+0.00626798
+0.00428786
+0.00225926
+0.000246538
+-0.000489264
+0.00124401
+0.00282119
+0.00441599
+0.00582486
+0.00668978
+0.00633541
+0.00465549
+0.00253522
+0.000500114
+-0.00125355
+-0.00211171
+-0.00203649
+-0.000156579
+-0.000284342
+-0.000615274
+-0.000663253
+0.000881094
+0.00127226
+0.00200808
+0.00343339
+0.00501475
+0.00675078
+0.00847955
+0.0103435
+0.012198
+0.0141271
+0.0161131
+0.0181102
+0.0201067
+0.0221275
+0.0238136
+0.025158
+0.0235751
+0.0218253
+0.0201133
+0.0182952
+0.0165274
+0.0147985
+0.0131402
+0.0115708
+0.00992418
+0.00835808
+0.00703901
+0.00605854
+0.00451238
+0.00340594
+0.00239334
+0.00164735
+0.000865301
+0.000238706
+-0.000508913
+-0.001246
+-0.00226429
+-0.000242362
+0.00174227
+0.00297007
+0.00355701
+0.00392105
+0.0044079
+0.00504587
+0.00523612
+0.0045674
+0.00359879
+0.00268089
+0.000734885
+-0.0013523
+-0.00123855
+0.00055626
+0.00140663
+0.00215617
+0.00204595
+0.00152069
+0.000662179
+-6.58727e-05
+-0.000532784
+-0.000612927
+6.64006e-05
+0.00106468
+0.00230458
+0.00359543
+0.00480044
+0.00614724
+0.00746826
+0.00884773
+0.0103714
+0.010594
+0.00853314
+0.00655411
+0.00469242
+0.00322357
+0.00267002
+0.00350547
+0.00504008
+0.00663624
+0.00810435
+0.00646564
+0.00445876
+0.00247622
+0.000608579
+0.00072929
+0.002538
+0.00416365
+0.00554869
+0.00692528
+0.00785189
+0.00725543
+0.0052188
+0.00317935
+0.0013266
+-0.00016895
+-0.000736013
+-0.00156958
+0.000320261
+0.000684341
+0.000401683
+-0.000424202
+6.07947e-05
+0.000132457
+0.000800998
+0.00225551
+0.00387585
+0.00558581
+0.00743851
+0.00932723
+0.0112752
+0.0132222
+0.0152189
+0.0172566
+0.0193276
+0.0212755
+0.0230112
+0.0237344
+0.0222881
+0.0208879
+0.0191432
+0.0174737
+0.0157673
+0.0139861
+0.0122913
+0.010685
+0.00913283
+0.00747128
+0.00606638
+0.00513722
+0.00354027
+0.00218507
+0.00105481
+0.000331921
+-0.000410177
+-0.000742777
+-0.000175223
+-0.001201
+-0.00137684
+0.000590309
+0.00251935
+0.00424924
+0.00483264
+0.00533961
+0.00593
+0.00667737
+0.00664278
+0.00525245
+0.00404295
+0.0023492
+0.000286105
+-0.00136789
+-0.000319165
+0.00152164
+0.00237564
+0.0031553
+0.00310395
+0.00245111
+0.00155484
+0.00096431
+0.000500018
+-0.000212367
+-0.000891962
+0.000284203
+0.00166527
+0.00308344
+0.00436833
+0.00576094
+0.00713363
+0.00857965
+0.010064
+0.00930651
+0.00794788
+0.00596707
+0.00392358
+0.00204856
+0.00112011
+0.00210713
+0.00357247
+0.00508449
+0.00645021
+0.00702561
+0.00526986
+0.00365955
+0.00253451
+0.00258101
+0.00381343
+0.00544591
+0.00673233
+0.00802183
+0.00884838
+0.00757467
+0.00549202
+0.00353588
+0.00176915
+0.00050428
+-0.000452091
+-0.00072721
+0.000819742
+0.00160833
+0.00136617
+0.000707704
+0.000154808
+-0.000381156
+-0.000441332
+0.00105977
+0.00270447
+0.00452181
+0.00641837
+0.00833666
+0.0103397
+0.0124054
+0.0144541
+0.0165255
+0.0186242
+0.0205764
+0.02235
+0.0223655
+0.0208942
+0.0194748
+0.0181679
+0.016578
+0.0148913
+0.0132667
+0.011665
+0.0100488
+0.00851166
+0.00697307
+0.00555278
+0.00462438
+0.00347894
+0.00197422
+0.000565822
+-0.000896178
+-0.000239762
+0.000436583
+0.000273568
+-0.00087311
+-0.000128007
+0.00162452
+0.00351515
+0.00536816
+0.00624247
+0.00685194
+0.00751457
+0.00831907
+0.00730665
+0.00571874
+0.00383454
+0.00190126
+0.000122216
+-0.000738263
+0.000533015
+0.00236174
+0.00326074
+0.00393128
+0.00390714
+0.00316285
+0.00236132
+0.00199585
+0.00149683
+0.000880579
+1.24044e-05
+-0.00014622
+0.00122245
+0.00272774
+0.00422385
+0.00564039
+0.00710649
+0.00865678
+0.00905163
+0.00787906
+0.00622348
+0.00495214
+0.00339666
+0.00148597
+-0.000121542
+0.000623705
+0.00207372
+0.00343888
+0.0049529
+0.00661828
+0.00663327
+0.00541593
+0.00464585
+0.00470262
+0.00553821
+0.00685276
+0.00793234
+0.0090655
+0.00959544
+0.00757082
+0.00561252
+0.00378104
+0.00216018
+0.000991066
+4.74769e-05
+-1.73458e-05
+0.00127712
+0.0024796
+0.0022656
+0.0018164
+0.0013599
+0.00110807
+-0.000621221
+-0.000131085
+0.00160822
+0.00346486
+0.00549511
+0.00754255
+0.00960568
+0.0117151
+0.0137972
+0.0158714
+0.0179451
+0.0200368
+0.0218411
+0.0210795
+0.0195204
+0.0180834
+0.0167198
+0.0154812
+0.0141997
+0.0125445
+0.0109995
+0.0096504
+0.0082821
+0.00692914
+0.00562644
+0.0047909
+0.00440886
+0.00286841
+0.00185048
+0.000977293
+0.000963082
+0.001524
+0.00028951
+0.000311112
+0.00124196
+0.00284572
+0.00462502
+0.00640655
+0.00744438
+0.00844383
+0.00917273
+0.00956157
+0.00749223
+0.00545067
+0.00341418
+0.00164776
+0.000307941
+0.000142745
+0.00132994
+0.0030683
+0.00421481
+0.00487717
+0.00477017
+0.00401227
+0.00349314
+0.00316736
+0.00274822
+0.00240384
+0.00194321
+0.00183502
+0.00235084
+0.00346082
+0.00483094
+0.00612901
+0.00752137
+0.00886251
+0.00735021
+0.00612129
+0.00485936
+0.0031558
+0.00206751
+0.000621426
+-0.000911708
+-0.000643796
+0.000600393
+0.00207754
+0.00375266
+0.00570822
+0.00778168
+0.00737483
+0.00680714
+0.00686043
+0.00746402
+0.00858293
+0.00943066
+0.0103398
+0.00977606
+0.00781213
+0.00597969
+0.00424103
+0.00275515
+0.00169541
+0.000700773
+0.000611521
+0.00174978
+0.00333052
+0.00325927
+0.00301701
+0.00276693
+0.00245722
+0.000660349
+-0.00126832
+0.000594292
+0.00270135
+0.00483086
+0.00698024
+0.00896992
+0.011036
+0.013129
+0.0152428
+0.0173757
+0.0195159
+0.0215402
+0.0198891
+0.0182859
+0.0167587
+0.0153351
+0.014085
+0.0129229
+0.0119441
+0.0105195
+0.00915931
+0.00806827
+0.0072924
+0.00633199
+0.00568914
+0.00570228
+0.00459415
+0.00379332
+0.00288842
+0.00248263
+0.00162137
+0.000895575
+0.0015893
+0.00268444
+0.00420492
+0.00588417
+0.00763961
+0.00862401
+0.00991367
+0.0109526
+0.009443
+0.00738353
+0.00539179
+0.00352275
+0.00185019
+0.00078155
+0.00108784
+0.00213919
+0.00375836
+0.00526517
+0.00574212
+0.00597237
+0.00540287
+0.00505831
+0.00482897
+0.00453064
+0.00434032
+0.00406568
+0.00402134
+0.00430487
+0.00502057
+0.00614933
+0.00724838
+0.00846508
+0.00750477
+0.00585485
+0.00437743
+0.00345399
+0.00192268
+0.000161405
+-0.000797739
+-0.00208594
+-0.00191495
+-0.000629384
+0.00121138
+0.0033493
+0.00482962
+0.00631734
+0.00803292
+0.00898269
+0.00902768
+0.00950469
+0.010416
+0.0111555
+0.0118559
+0.0100829
+0.00822279
+0.00645397
+0.00488657
+0.00355457
+0.00256019
+0.00152751
+0.00132194
+0.00231472
+0.00395971
+0.00411496
+0.00433396
+0.00447747
+0.00361616
+0.00160024
+-0.000508986
+4.39694e-05
+0.00214259
+0.00418231
+0.00625572
+0.0083853
+0.0105283
+0.0126694
+0.0148013
+0.0169238
+0.0190179
+0.0208124
+0.0188718
+0.0171742
+0.0156001
+0.014092
+0.0127465
+0.011607
+0.0105393
+0.00981496
+0.00905791
+0.00800397
+0.00737901
+0.0072757
+0.00705216
+0.00706756
+0.00659211
+0.00562088
+0.00389657
+0.00263514
+0.00186477
+0.00177762
+0.00268016
+0.00407751
+0.00556711
+0.00716235
+0.00891935
+0.0100391
+0.0112095
+0.0118077
+0.0097363
+0.00772032
+0.00579326
+0.00393786
+0.00232893
+0.00144992
+0.00196259
+0.00295779
+0.0045385
+0.00626562
+0.00697655
+0.00754556
+0.00710203
+0.00694541
+0.00673884
+0.00651756
+0.0064139
+0.00622725
+0.00621075
+0.00641371
+0.00692799
+0.00778726
+0.00863624
+0.00742403
+0.00616945
+0.00468306
+0.0030068
+0.00177588
+0.000963379
+-6.612e-05
+-0.00221795
+-0.00352147
+-0.00286277
+-0.000765632
+0.000554208
+0.00193062
+0.0032785
+0.0050878
+0.00688614
+0.00865799
+0.010559
+0.0116
+0.0123578
+0.0130156
+0.0124115
+0.0105357
+0.0087629
+0.00707935
+0.0056239
+0.00447902
+0.00338152
+0.00224358
+0.00209942
+0.00277684
+0.00429459
+0.00489885
+0.00559772
+0.00620667
+0.00402213
+0.00184439
+-0.000325046
+-0.000454835
+0.00161869
+0.00374936
+0.00591409
+0.0080764
+0.0101328
+0.0122129
+0.014326
+0.0164524
+0.0181956
+0.0200072
+0.0180019
+0.0162321
+0.0145653
+0.0130472
+0.0116401
+0.0104355
+0.00939536
+0.00861378
+0.00808339
+0.0078394
+0.00782901
+0.00773314
+0.00818896
+0.00876396
+0.0078491
+0.00597122
+0.00433038
+0.00319177
+0.00285359
+0.00293938
+0.00378173
+0.00525327
+0.00693996
+0.00858393
+0.010186
+0.0114839
+0.0126836
+0.0122012
+0.0101798
+0.00824543
+0.00642592
+0.0047329
+0.00324936
+0.00249572
+0.00287122
+0.00384768
+0.00532594
+0.00713764
+0.00850208
+0.00908312
+0.00899695
+0.00887598
+0.00876675
+0.00858903
+0.00853935
+0.0084039
+0.00840082
+0.00855708
+0.00895587
+0.00833653
+0.0070492
+0.00587548
+0.00466939
+0.00341184
+0.00217559
+0.000435811
+-0.00106109
+-0.00189429
+-0.00311038
+-0.0049149
+-0.00382405
+-0.00238121
+-0.000975371
+0.000410548
+0.00203362
+0.00398028
+0.0060949
+0.00804298
+0.00999903
+0.0119403
+0.0135647
+0.0146289
+0.0129604
+0.0111167
+0.00939991
+0.00784399
+0.00639951
+0.00529111
+0.00396179
+0.00290433
+0.00266745
+0.00330695
+0.00460853
+0.00594986
+0.00684032
+0.00619798
+0.00406614
+0.00193681
+-9.22368e-05
+-0.000711232
+0.00138263
+0.00343422
+0.00553808
+0.00768131
+0.0098029
+0.0118232
+0.0138811
+0.0156595
+0.0174487
+0.0193031
+0.0169232
+0.0152466
+0.0136596
+0.012059
+0.0106313
+0.00943166
+0.0083988
+0.00757793
+0.00711066
+0.00714497
+0.0075014
+0.00836326
+0.00892808
+0.00921059
+0.00786177
+0.0066893
+0.00528991
+0.00433594
+0.00403612
+0.00441381
+0.00513142
+0.00643146
+0.00804342
+0.00981487
+0.0116435
+0.0129882
+0.0142405
+0.012597
+0.0105828
+0.00863143
+0.00682289
+0.00525368
+0.00415245
+0.00388285
+0.00408929
+0.00495208
+0.00637472
+0.00802815
+0.00978663
+0.0107524
+0.0110023
+0.0109048
+0.0108581
+0.0107075
+0.0106819
+0.0105864
+0.0105911
+0.00947911
+0.00789443
+0.00666227
+0.00535057
+0.00411716
+0.00317285
+0.00198524
+0.00101066
+-0.000652099
+-0.00203589
+-0.00370273
+-0.0048423
+-0.00618297
+-0.00539742
+-0.00403161
+-0.00247416
+-0.000666931
+0.00135289
+0.00341206
+0.0055644
+0.00755984
+0.00950753
+0.0109602
+0.0119086
+0.0128784
+0.0136496
+0.0118921
+0.0101939
+0.00863541
+0.00726867
+0.00584483
+0.00443363
+0.00352992
+0.00348012
+0.00414545
+0.00524742
+0.0068051
+0.00819974
+0.00650108
+0.00445132
+0.00246891
+0.00058355
+-0.000783818
+0.00103691
+0.00302736
+0.00509481
+0.00709883
+0.00917407
+0.0112849
+0.0132621
+0.0149698
+0.0167571
+0.0186047
+0.0159046
+0.0141826
+0.0125547
+0.0110651
+0.00969839
+0.00852621
+0.00753853
+0.0068578
+0.00646499
+0.00652135
+0.00709226
+0.00812013
+0.00929974
+0.00893617
+0.00761866
+0.00667105
+0.00626584
+0.00591712
+0.00565237
+0.00598083
+0.00674533
+0.00783762
+0.00925701
+0.0109058
+0.0127023
+0.0145499
+0.0142047
+0.0122036
+0.0102744
+0.00847328
+0.00688688
+0.00556632
+0.00476034
+0.00454576
+0.0049286
+0.00596475
+0.00736852
+0.00903491
+0.010755
+0.0124806
+0.0130672
+0.0129858
+0.0129822
+0.0128497
+0.0128405
+0.0119664
+0.0101963
+0.0082531
+0.00644528
+0.00485854
+0.00381639
+0.00249843
+0.00143397
+0.000485132
+-0.00053827
+-0.00156418
+-0.00279306
+-0.00451355
+-0.00642056
+-0.00785525
+-0.00689162
+-0.00471214
+-0.00253583
+-0.000352586
+0.00156456
+0.00352644
+0.00527035
+0.00684681
+0.00842859
+0.00942451
+0.0101617
+0.0112826
+0.0122695
+0.0127475
+0.0110937
+0.00946935
+0.00794032
+0.00636056
+0.00511474
+0.00443846
+0.0044874
+0.00518821
+0.0062762
+0.00762501
+0.00906497
+0.00703195
+0.00502635
+0.00308185
+0.00133018
+-5.62429e-05
+0.000690631
+0.00260536
+0.00460215
+0.00668911
+0.00882645
+0.0107762
+0.0123927
+0.0141515
+0.0160165
+0.0179344
+0.014928
+0.0131653
+0.0114816
+0.0099543
+0.0085972
+0.00746474
+0.0066567
+0.00622935
+0.00608835
+0.0062404
+0.00689243
+0.00793714
+0.00931635
+0.00911778
+0.00783089
+0.00690943
+0.00657782
+0.0068899
+0.00752935
+0.00774728
+0.00842153
+0.00947589
+0.0107267
+0.0121993
+0.0138497
+0.0156211
+0.0139435
+0.0119244
+0.00997784
+0.00811768
+0.0064584
+0.00518119
+0.00448997
+0.00456958
+0.00534585
+0.00658747
+0.00818588
+0.00988215
+0.0116363
+0.0135185
+0.0151675
+0.0150975
+0.0151254
+0.0143834
+0.0125138
+0.0107447
+0.00890223
+0.00718036
+0.005369
+0.00347735
+0.00193625
+0.00134997
+-0.000322195
+-0.00112493
+-0.00219299
+-0.00305418
+-0.00374308
+-0.00504707
+-0.00659917
+-0.00843927
+-0.00715297
+-0.00507447
+-0.00300839
+-0.00102835
+0.000857607
+0.00231917
+0.00387549
+0.00569813
+0.00710541
+0.00770877
+0.0085944
+0.00970038
+0.0108205
+0.0121135
+0.0118524
+0.0102225
+0.00878772
+0.00739716
+0.00632408
+0.00577698
+0.00588894
+0.00648318
+0.0074429
+0.00872821
+0.00976442
+0.00775582
+0.00579533
+0.00396388
+0.00207877
+0.000444405
+0.00045591
+0.00225493
+0.00427779
+0.00628083
+0.00835407
+0.0100275
+0.0117137
+0.0135077
+0.0153407
+0.0172069
+0.0141026
+0.0122858
+0.0105404
+0.0089579
+0.00758869
+0.00646014
+0.00572494
+0.00546517
+0.00563938
+0.00628677
+0.00713561
+0.0081842
+0.00956877
+0.00972087
+0.0085255
+0.00769006
+0.0073942
+0.00767465
+0.00846976
+0.00959701
+0.0102692
+0.0111755
+0.0123661
+0.0137073
+0.0152036
+0.0160429
+0.0139829
+0.0119695
+0.0100306
+0.00819378
+0.0065538
+0.00529938
+0.00460831
+0.00471564
+0.00556473
+0.00694814
+0.00861707
+0.010429
+0.0123191
+0.0142538
+0.0161642
+0.0172289
+0.0155259
+0.0134598
+0.0114403
+0.00949688
+0.00768167
+0.00585898
+0.0040885
+0.00242426
+0.000770443
+-0.000622218
+-0.00167388
+-0.00284023
+-0.00380256
+-0.00429962
+-0.00480034
+-0.00569884
+-0.0071099
+-0.00884437
+-0.00772023
+-0.00573006
+-0.00386756
+-0.00217267
+-0.000684083
+0.000818352
+0.00285907
+0.00498679
+0.00571974
+0.00624832
+0.00723022
+0.00834405
+0.00944869
+0.0107831
+0.0122254
+0.0106537
+0.00925607
+0.00818872
+0.00738198
+0.00690246
+0.00698574
+0.00766426
+0.00877229
+0.0100171
+0.0105322
+0.00865156
+0.00662488
+0.00465682
+0.00278369
+0.00119972
+0.000359311
+0.00207959
+0.00400014
+0.00600364
+0.00763497
+0.00916983
+0.0107758
+0.0125546
+0.0143729
+0.0162563
+0.0133597
+0.0114946
+0.00967831
+0.00804367
+0.00661909
+0.00550502
+0.00483358
+0.0047205
+0.00512098
+0.00600987
+0.00719261
+0.00867305
+0.0101856
+0.0107367
+0.00960499
+0.00885632
+0.00860018
+0.00885384
+0.00957602
+0.0106702
+0.0120123
+0.0130029
+0.0140734
+0.015323
+0.0167307
+0.0163476
+0.0143316
+0.012375
+0.0105112
+0.00877285
+0.00726466
+0.00605535
+0.00543268
+0.00553338
+0.00635056
+0.00765287
+0.00927273
+0.0110254
+0.0129125
+0.014883
+0.0168278
+0.0169317
+0.0148335
+0.0127604
+0.0107127
+0.00860653
+0.00655604
+0.00463565
+0.00292421
+0.00102002
+-0.000446961
+-0.00211403
+-0.00350421
+-0.00425461
+-0.00524415
+-0.00523919
+-0.00579034
+-0.00676159
+-0.00809489
+-0.00966972
+-0.00860899
+-0.00682438
+-0.00524211
+-0.00375195
+-0.00165092
+0.000501427
+0.00262159
+0.00409204
+0.00456446
+0.00521706
+0.00608105
+0.00701135
+0.00822136
+0.00972519
+0.0112475
+0.0105623
+0.0092302
+0.00817733
+0.00745069
+0.00723699
+0.00760177
+0.00848451
+0.00972997
+0.0110831
+0.0114294
+0.0093799
+0.00731696
+0.00529626
+0.00332355
+0.00164831
+0.000523348
+0.00169005
+0.00361654
+0.00541781
+0.00662554
+0.00813499
+0.00979987
+0.0116166
+0.013529
+0.0155152
+0.0127107
+0.0107886
+0.00898438
+0.00732666
+0.00586444
+0.00476226
+0.00414445
+0.00424756
+0.00489845
+0.00597562
+0.00734575
+0.00886082
+0.010517
+0.0120179
+0.0110005
+0.0103507
+0.0101324
+0.0103511
+0.0109962
+0.0119756
+0.0132251
+0.014653
+0.0158634
+0.0170158
+0.0183265
+0.0169327
+0.014993
+0.0131087
+0.0113337
+0.00972951
+0.00839458
+0.00736749
+0.00686488
+0.00694355
+0.00762204
+0.00873683
+0.0102062
+0.0118996
+0.0136889
+0.0155636
+0.0175099
+0.0164209
+0.0142981
+0.0121481
+0.0100158
+0.00790724
+0.00584217
+0.00386899
+0.00175352
+-0.00013038
+-0.00186958
+-0.00346377
+-0.00497932
+-0.00599335
+-0.00626268
+-0.0064261
+-0.00700392
+-0.00783882
+-0.00904798
+-0.0105579
+-0.00986554
+-0.00830317
+-0.00619541
+-0.004156
+-0.00209407
+-8.61858e-05
+0.0018338
+0.00380549
+0.00401292
+0.00429375
+0.00502681
+0.00608852
+0.00736835
+0.00878096
+0.0101566
+0.0108469
+0.00952042
+0.00845858
+0.00779471
+0.00761097
+0.00800702
+0.00885132
+0.0101066
+0.0115979
+0.0119984
+0.00995326
+0.0079366
+0.00592528
+0.00399865
+0.00228763
+0.00112682
+0.0015218
+0.00326201
+0.00440318
+0.0056699
+0.00723371
+0.00904353
+0.0109364
+0.0129225
+0.0149504
+0.0122439
+0.0103199
+0.00850919
+0.00672792
+0.00526224
+0.00418146
+0.00375214
+0.00401013
+0.00491722
+0.00616168
+0.0077029
+0.00936525
+0.0110051
+0.0127714
+0.0126239
+0.0120597
+0.0118729
+0.0120622
+0.0126202
+0.0134837
+0.0146244
+0.0159661
+0.0174448
+0.0187892
+0.0196673
+0.0177376
+0.0158757
+0.0141086
+0.0124766
+0.0110399
+0.00987309
+0.00900195
+0.00861236
+0.00868064
+0.00923613
+0.0101756
+0.011462
+0.0129927
+0.0146916
+0.0164805
+0.0181948
+0.0160268
+0.013866
+0.0117162
+0.00958116
+0.00746125
+0.00532768
+0.00314617
+0.000989461
+-0.000838568
+-0.00239414
+-0.00419869
+-0.00608976
+-0.00755255
+-0.00762212
+-0.00771038
+-0.00821955
+-0.00909387
+-0.0103301
+-0.0115002
+-0.0107729
+-0.0086442
+-0.00655648
+-0.00453816
+-0.00266992
+-0.000762985
+0.00116865
+0.00305414
+0.00359492
+0.00359017
+0.00421138
+0.00510519
+0.00635197
+0.00760948
+0.00909868
+0.0104661
+0.0101641
+0.00916292
+0.00854867
+0.0083755
+0.00874497
+0.00953368
+0.0107093
+0.0121282
+0.0126536
+0.0106355
+0.00864507
+0.00673712
+0.00489135
+0.00314786
+0.00160098
+0.00127867
+0.0023959
+0.00338558
+0.00491597
+0.00669024
+0.00855947
+0.0105405
+0.0125912
+0.0146783
+0.0119715
+0.0100063
+0.00815668
+0.00651715
+0.00502411
+0.00407314
+0.00376334
+0.00421616
+0.00532014
+0.00668849
+0.00821073
+0.00991118
+0.0116971
+0.0134882
+0.0143984
+0.0139045
+0.0137427
+0.0139086
+0.0143952
+0.0151579
+0.016181
+0.0174209
+0.0188182
+0.0203256
+0.0205819
+0.0187466
+0.0169956
+0.015358
+0.0138737
+0.0125973
+0.0115351
+0.0107988
+0.0104769
+0.0105408
+0.0110275
+0.011847
+0.0129687
+0.0143395
+0.015895
+0.0175864
+0.0178142
+0.0156838
+0.0135725
+0.011491
+0.00937219
+0.00721378
+0.00508306
+0.00299804
+0.00122486
+-0.00028541
+-0.0021598
+-0.00422986
+-0.00622069
+-0.00827776
+-0.00736504
+-0.00687302
+-0.0069267
+-0.00755964
+-0.00857593
+-0.00957521
+-0.0108137
+-0.0092431
+-0.00726589
+-0.00543854
+-0.00338609
+-0.00132913
+0.000612832
+0.00240426
+0.00335143
+0.00363099
+0.00377294
+0.00455517
+0.00556269
+0.00681717
+0.00800407
+0.00952135
+0.0111587
+0.0102635
+0.00968904
+0.00952569
+0.00985892
+0.0105959
+0.011665
+0.0130024
+0.0134579
+0.0115273
+0.00961064
+0.00773873
+0.00591694
+0.00400065
+0.00231128
+0.0014036
+0.00183149
+0.00302924
+0.00470201
+0.00653769
+0.00842625
+0.010432
+0.0125
+0.0145975
+0.0120487
+0.0100957
+0.008252
+0.0066203
+0.00526345
+0.00444511
+0.00438212
+0.00486252
+0.00589478
+0.00735219
+0.00902925
+0.0107011
+0.0124629
+0.0142912
+0.0161482
+0.0158377
+0.0156959
+0.0158429
+0.0162718
+0.0169503
+0.0178711
+0.0190009
+0.020305
+0.0217378
+0.0216801
+0.0199461
+0.0183102
+0.0168011
+0.0154561
+0.0142926
+0.0133504
+0.0127196
+0.0124476
+0.0125002
+0.0129132
+0.013666
+0.014649
+0.0158754
+0.0172933
+0.0188597
+0.0176571
+0.0155051
+0.0133656
+0.0112458
+0.00915956
+0.00709787
+0.00505782
+0.00289465
+0.000769591
+-0.00121572
+-0.00300327
+-0.00481167
+-0.00683807
+-0.00653516
+-0.0053612
+-0.00469148
+-0.00478814
+-0.00557958
+-0.00664662
+-0.00777404
+-0.00921298
+-0.0099052
+-0.00824201
+-0.00623019
+-0.00404607
+-0.00187712
+0.00017778
+0.00208586
+0.00309798
+0.00333199
+0.00354413
+0.00393363
+0.00497741
+0.00602195
+0.00714793
+0.00863349
+0.0102024
+0.0116207
+0.0111166
+0.0109745
+0.011265
+0.0119153
+0.0128753
+0.0141128
+0.0137815
+0.0117707
+0.00981267
+0.0079452
+0.00619172
+0.00460623
+0.0029287
+0.00159634
+0.00153305
+0.00277373
+0.00435606
+0.00624968
+0.00820248
+0.0102519
+0.0123499
+0.0144753
+0.0124506
+0.0105619
+0.00881414
+0.00728046
+0.00610672
+0.00541779
+0.00547131
+0.00604828
+0.00697419
+0.00828806
+0.00987908
+0.0116651
+0.0134161
+0.0151894
+0.0170363
+0.0178305
+0.0177046
+0.0178366
+0.0182186
+0.0188271
+0.0196601
+0.0206926
+0.0218962
+0.0232443
+0.0229355
+0.0213039
+0.0197806
+0.0183926
+0.0171666
+0.0160951
+0.0152646
+0.0147161
+0.0144816
+0.0145258
+0.0148827
+0.0155431
+0.0164499
+0.0175509
+0.0188431
+0.0198846
+0.0177081
+0.0155204
+0.0133337
+0.0111485
+0.00896609
+0.00678895
+0.00462463
+0.00250608
+0.000410945
+-0.0015406
+-0.00310433
+-0.00494378
+-0.00633723
+-0.00482896
+-0.00347873
+-0.00252587
+-0.00268867
+-0.00377067
+-0.00476428
+-0.00615513
+-0.00761131
+-0.00788291
+-0.00718725
+-0.00640785
+-0.00446189
+-0.00229186
+-0.000193346
+0.00176414
+0.00327477
+0.00323643
+0.00336459
+0.00346166
+0.00430432
+0.00531678
+0.00649018
+0.00809733
+0.00965721
+0.0113638
+0.0127424
+0.0126187
+0.0128721
+0.0134638
+0.0143204
+0.0154424
+0.0141911
+0.0122369
+0.0103274
+0.00852141
+0.00683872
+0.0048483
+0.00294542
+0.00148068
+0.00113266
+0.00231633
+0.0040227
+0.00592828
+0.00796016
+0.010051
+0.012177
+0.0143225
+0.0131989
+0.0114268
+0.00978138
+0.00838894
+0.00736937
+0.00680418
+0.00678915
+0.00735334
+0.00841762
+0.00958439
+0.0110313
+0.0126569
+0.0144138
+0.0162567
+0.0180234
+0.0198546
+0.0197416
+0.019871
+0.0202154
+0.0207655
+0.0215236
+0.0224706
+0.0235836
+0.0248404
+0.0243238
+0.0227918
+0.0213748
+0.0200972
+0.018949
+0.017984
+0.0172447
+0.0167611
+0.0165556
+0.0165934
+0.0169067
+0.0174909
+0.01832
+0.0193297
+0.0205102
+0.0196185
+0.0174439
+0.0152739
+0.0131108
+0.0109586
+0.00882535
+0.00672526
+0.0045938
+0.00248093
+0.00061988
+-0.00106205
+-0.00278416
+-0.00477739
+-0.00516443
+-0.00341299
+-0.0017411
+-0.000468836
+-0.000734747
+-0.0017861
+-0.0031279
+-0.00455097
+-0.00585701
+-0.00591837
+-0.00531154
+-0.00447823
+-0.0039367
+-0.00223079
+-0.000191211
+0.00189559
+0.00399474
+0.00392499
+0.00372301
+0.00328703
+0.00376106
+0.00498552
+0.00608246
+0.00750757
+0.00913398
+0.0107207
+0.0124587
+0.0141734
+0.0146106
+0.0151502
+0.0159257
+0.0168093
+0.0148644
+0.0129552
+0.0110988
+0.00932625
+0.00720402
+0.00511867
+0.00315582
+0.00162296
+0.00134482
+0.00246684
+0.00414906
+0.00608103
+0.00814171
+0.0102213
+0.0123355
+0.0144725
+0.0142141
+0.0125516
+0.0110744
+0.00986619
+0.00894991
+0.00846734
+0.00845526
+0.00894431
+0.00985571
+0.0111062
+0.0124209
+0.0139065
+0.0155414
+0.0172811
+0.0190986
+0.0209324
+0.0218008
+0.021918
+0.0222488
+0.0227497
+0.0234438
+0.0243161
+0.0253482
+0.0265215
+0.0258235
+0.0243859
+0.023067
+0.0218695
+0.0208095
+0.0199348
+0.0192705
+0.018839
+0.0186564
+0.018689
+0.0189678
+0.0194903
+0.0202377
+0.0211858
+0.0216063
+0.0194326
+0.0172633
+0.0151001
+0.0129462
+0.010807
+0.00864612
+0.00645567
+0.00426526
+0.00207499
+-0.00010667
+-0.00209701
+-0.0037346
+-0.0054165
+-0.00419848
+-0.00238489
+-0.000443034
+0.00133839
+0.00100681
+-6.44213e-05
+-0.00148669
+-0.00289846
+-0.00401712
+-0.00394192
+-0.00350628
+-0.00268829
+-0.00213391
+-0.00130949
+0.000346202
+0.0023244
+0.00431501
+0.00471757
+0.00418044
+0.00374903
+0.00393988
+0.00466158
+0.0058504
+0.00733687
+0.00887709
+0.0104868
+0.012141
+0.0138321
+0.0155869
+0.0169383
+0.0176567
+0.0176242
+0.0157216
+0.0137911
+0.0116372
+0.00949845
+0.00737282
+0.00528909
+0.00333218
+0.00180572
+0.00170687
+0.00299168
+0.00465119
+0.00655066
+0.00856846
+0.0106132
+0.0127067
+0.0148158
+0.0154469
+0.0139323
+0.0126178
+0.0115341
+0.0107467
+0.0103292
+0.0103193
+0.0107484
+0.0115179
+0.0126252
+0.0139655
+0.015347
+0.0168427
+0.0184775
+0.0202156
+0.0220098
+0.0238693
+0.0239904
+0.0242953
+0.0247687
+0.0254077
+0.0262148
+0.0271749
+0.0282724
+0.0274163
+0.0260667
+0.0248331
+0.0237033
+0.022729
+0.0219309
+0.0213289
+0.0209398
+0.0207757
+0.0208043
+0.021055
+0.0215269
+0.0222059
+0.0230736
+0.0215929
+0.019447
+0.0172998
+0.0151418
+0.0129948
+0.0108652
+0.00876488
+0.00658441
+0.00440691
+0.00223116
+9.34575e-05
+-0.00198214
+-0.00404364
+-0.00419145
+-0.00281099
+-0.00121699
+0.000465787
+0.00243631
+0.00300586
+0.00159089
+0.000130313
+-0.00111009
+-0.00202865
+-0.00205825
+-0.00177967
+-0.00107776
+-0.000416385
+0.000395088
+0.00150555
+0.00317979
+0.00507459
+0.00548795
+0.0047177
+0.00435086
+0.00434616
+0.00470061
+0.00572384
+0.00720034
+0.00866863
+0.0102132
+0.0117287
+0.0134012
+0.0152059
+0.0170835
+0.0190278
+0.0183063
+0.016153
+0.0140112
+0.0118873
+0.00979288
+0.00773117
+0.00572037
+0.00386608
+0.00251294
+0.00246989
+0.00365484
+0.00541308
+0.00734043
+0.00922976
+0.011229
+0.0132714
+0.0153493
+0.0168751
+0.0155007
+0.0143236
+0.0133426
+0.0126681
+0.0122999
+0.0122916
+0.012668
+0.0133337
+0.0143011
+0.0155194
+0.0169091
+0.0183143
+0.0198281
+0.0214592
+0.0231827
+0.024966
+0.0260821
+0.0263629
+0.0268147
+0.0274061
+0.0281559
+0.0290519
+0.0300811
+0.0290871
+0.0278187
+0.026643
+0.0255932
+0.0246936
+0.023961
+0.0234113
+0.0230574
+0.0229084
+0.0229337
+0.0231614
+0.0235912
+0.0242124
+0.0238191
+0.0216722
+0.0195351
+0.0174113
+0.0152889
+0.0131769
+0.0110954
+0.00903903
+0.00687115
+0.00468419
+0.00250066
+0.000335305
+-0.00181292
+-0.00292885
+-0.00267686
+-0.00136307
+-4.95592e-05
+0.00179975
+0.00349273
+0.00467245
+0.00319553
+0.001831
+0.000760642
+-1.03799e-05
+-0.000230206
+-3.2134e-05
+0.000635491
+0.00133961
+0.0020851
+0.00315624
+0.0045011
+0.00608164
+0.0061487
+0.00547684
+0.00499295
+0.00498051
+0.00531317
+0.00617933
+0.00732211
+0.0087104
+0.0101081
+0.0116372
+0.0133212
+0.0151354
+0.0170208
+0.0189715
+0.0187
+0.0165773
+0.0144694
+0.0123904
+0.0103574
+0.00840415
+0.0065764
+0.0050019
+0.00399107
+0.00391129
+0.00479829
+0.00629827
+0.00810409
+0.0100399
+0.0120302
+0.014024
+0.0160137
+0.0184535
+0.0172056
+0.0161169
+0.0152517
+0.0146653
+0.0143346
+0.0143275
+0.0146517
+0.0152483
+0.0161011
+0.0171923
+0.0184798
+0.0198997
+0.0213188
+0.0228436
+0.0244698
+0.0261784
+0.0279524
+0.0284489
+0.0288732
+0.0294318
+0.0301313
+0.0309702
+0.0319376
+0.030823
+0.0296151
+0.0285064
+0.0275278
+0.0266934
+0.0260173
+0.0255118
+0.0251875
+0.0250512
+0.0250737
+0.0252821
+0.0256765
+0.0262229
+0.0240911
+0.0219708
+0.0198504
+0.0177451
+0.0156632
+0.013553
+0.0114047
+0.00924211
+0.00709448
+0.00498111
+0.00295139
+0.00116848
+-0.000199425
+-0.00117119
+-0.000926384
+0.000168975
+0.00148906
+0.00294028
+0.00464044
+0.00625708
+0.00481782
+0.00359035
+0.00264585
+0.00194964
+0.00160416
+0.00183242
+0.00237246
+0.00307701
+0.0037878
+0.0048527
+0.00600279
+0.00740442
+0.00677125
+0.0061655
+0.00596325
+0.00596254
+0.00609123
+0.0066808
+0.00773729
+0.00901484
+0.0104707
+0.0119535
+0.0135984
+0.01538
+0.0172386
+0.0191672
+0.0192432
+0.0171832
+0.0151599
+0.0131901
+0.0112946
+0.00949426
+0.00789384
+0.00660883
+0.00587098
+0.00579537
+0.00645158
+0.0076731
+0.00922649
+0.0109898
+0.012883
+0.0148299
+0.0168198
+0.0201468
+0.0189916
+0.0179983
+0.0172278
+0.0167056
+0.0164095
+0.0164033
+0.0166872
+0.0172288
+0.0179879
+0.0189709
+0.0201451
+0.0214785
+0.0229113
+0.0243468
+0.0258786
+0.0274998
+0.0291955
+0.0305495
+0.030945
+0.0314779
+0.0321328
+0.0329208
+0.0338324
+0.0326106
+0.031455
+0.0304135
+0.0294982
+0.0287211
+0.0280938
+0.0276264
+0.0273271
+0.0272016
+0.0272217
+0.0274138
+0.0262101
+0.0249023
+0.023725
+0.022432
+0.0202818
+0.0181412
+0.0160129
+0.0139038
+0.0118245
+0.00979386
+0.00779586
+0.00585237
+0.00414872
+0.00279824
+0.00154101
+0.000788072
+0.00112353
+0.00170977
+0.00285422
+0.00434502
+0.00589534
+0.00754362
+0.00649516
+0.00545356
+0.00450416
+0.00382171
+0.00349901
+0.00372219
+0.0042313
+0.00481711
+0.00564844
+0.0066009
+0.00763131
+0.00881882
+0.00784007
+0.00722613
+0.00679209
+0.00692857
+0.00714558
+0.00765276
+0.00859818
+0.00975434
+0.0111774
+0.0125802
+0.0141737
+0.0158825
+0.0176879
+0.0195721
+0.0200089
+0.0180366
+0.0161207
+0.0142567
+0.0124991
+0.0108996
+0.0095195
+0.00847785
+0.0078968
+0.00784045
+0.00835584
+0.00933133
+0.0106736
+0.0122386
+0.0139653
+0.0158075
+0.0177058
+0.0219272
+0.0208438
+0.019943
+0.0192505
+0.0187741
+0.0185112
+0.0185056
+0.0187577
+0.0192546
+0.019937
+0.0208283
+0.0219031
+0.023136
+0.024499
+0.0259426
+0.0273904
+0.028927
+0.0305436
+0.032228
+0.0330323
+0.0335393
+0.0341547
+0.0348971
+0.0356179
+0.0344298
+0.0333373
+0.0323565
+0.0314977
+0.0307712
+0.0301865
+0.029752
+0.0294743
+0.029323
+0.0276755
+0.0260962
+0.0246004
+0.023202
+0.0219336
+0.0208191
+0.019763
+0.0186624
+0.0166023
+0.014579
+0.0126115
+0.0106933
+0.00884246
+0.00718531
+0.00576754
+0.00450635
+0.00327144
+0.00272437
+0.0030289
+0.00358733
+0.00447825
+0.00574191
+0.00726879
+0.00888664
+0.00829156
+0.00727544
+0.00643737
+0.00568728
+0.00549017
+0.00565991
+0.00607902
+0.00665687
+0.00744317
+0.00831988
+0.00927367
+0.0101225
+0.00909103
+0.0082031
+0.00773276
+0.00785291
+0.00788842
+0.00845867
+0.00942055
+0.0106721
+0.0120953
+0.01353
+0.0150231
+0.0166442
+0.0183749
+0.0201951
+0.0209722
+0.0190791
+0.0172567
+0.0155296
+0.0139336
+0.012518
+0.0113321
+0.0104723
+0.00999221
+0.00994773
+0.0103738
+0.0111745
+0.0123175
+0.0137176
+0.0152852
+0.0169848
+0.0187863
+0.0237526
+0.0227562
+0.0219341
+0.0213065
+0.0208675
+0.0206313
+0.0206264
+0.0208528
+0.0213033
+0.0219318
+0.022745
+0.0237332
+0.0248755
+0.0261518
+0.0275368
+0.0289871
+0.0304451
+0.031985
+0.0335972
+0.035132
+0.0356115
+0.0361963
+0.0368976
+0.0374247
+0.0362901
+0.0352553
+0.0343293
+0.0335211
+0.0328394
+0.0322921
+0.0315506
+0.029738
+0.0279796
+0.0262861
+0.0246522
+0.0230739
+0.0215903
+0.0202211
+0.0190064
+0.017971
+0.0170788
+0.016206
+0.015536
+0.0136778
+0.011888
+0.0102549
+0.00876066
+0.00748226
+0.0061362
+0.00511432
+0.00470924
+0.00484405
+0.00536443
+0.00622446
+0.00739866
+0.00872
+0.0101828
+0.0101128
+0.00914509
+0.0082019
+0.00755511
+0.007403
+0.00747351
+0.00790105
+0.00847612
+0.00918591
+0.010071
+0.0109934
+0.0114283
+0.0102833
+0.00945417
+0.0090476
+0.00890971
+0.00893978
+0.00948971
+0.0104136
+0.011601
+0.0129505
+0.0144511
+0.0161107
+0.0176466
+0.0192875
+0.0210289
+0.0220732
+0.0202832
+0.0185792
+0.0169871
+0.0155415
+0.0142862
+0.0132594
+0.0125325
+0.0121213
+0.0120847
+0.0124399
+0.0131249
+0.0141108
+0.0153481
+0.0167813
+0.018348
+0.0200273
+0.0256352
+0.0247149
+0.0239601
+0.0233869
+0.0229791
+0.0227648
+0.0227603
+0.0229658
+0.0233756
+0.0239608
+0.0247073
+0.0256199
+0.0266816
+0.0278753
+0.0291849
+0.0305866
+0.0320408
+0.0335077
+0.03505
+0.0366583
+0.037695
+0.0382544
+0.0389186
+0.0392653
+0.0381855
+0.0372035
+0.0363271
+0.0355643
+0.0343093
+0.0323708
+0.0304639
+0.0285825
+0.0267482
+0.0249715
+0.0232653
+0.0216465
+0.0200747
+0.0186091
+0.0172815
+0.016143
+0.0152061
+0.014499
+0.0138038
+0.0133543
+0.0126362
+0.011808
+0.0104149
+0.00906796
+0.00794874
+0.0071149
+0.00679309
+0.00681604
+0.00721584
+0.00797104
+0.00904142
+0.0102984
+0.0116405
+0.0118244
+0.0108353
+0.0100185
+0.00951431
+0.00927706
+0.00930961
+0.00970379
+0.0102555
+0.0108985
+0.0117604
+0.0126838
+0.0127245
+0.0117082
+0.01098
+0.0105483
+0.0102443
+0.0103368
+0.0108159
+0.0116468
+0.0127249
+0.0140406
+0.0154873
+0.0170462
+0.0187317
+0.020373
+0.0220302
+0.0233285
+0.0216425
+0.0200544
+0.0185891
+0.017278
+0.0161582
+0.0152579
+0.0146303
+0.0142691
+0.014238
+0.0145407
+0.0151412
+0.0160034
+0.0171043
+0.0184013
+0.0198511
+0.0214129
+0.0275635
+0.0267097
+0.0260128
+0.0254858
+0.0251043
+0.0249083
+0.0249042
+0.0250921
+0.0254677
+0.0260161
+0.0267052
+0.0275517
+0.0285416
+0.0296606
+0.0308945
+0.0322303
+0.0336453
+0.0351012
+0.0365763
+0.0381203
+0.0397252
+0.0403264
+0.040957
+0.0411403
+0.040111
+0.0391772
+0.0374804
+0.0354447
+0.0334287
+0.031436
+0.0294714
+0.027541
+0.0256453
+0.0237862
+0.0219884
+0.0202679
+0.0186464
+0.0171047
+0.0156734
+0.0144084
+0.0133792
+0.0125973
+0.0121088
+0.0116618
+0.0106947
+0.00994257
+0.00958421
+0.00960378
+0.00975395
+0.00910848
+0.00869602
+0.00864105
+0.00900379
+0.00968783
+0.0103672
+0.010825
+0.0116467
+0.0127561
+0.0126441
+0.0119328
+0.011525
+0.0112366
+0.0112214
+0.0115146
+0.0120746
+0.0126942
+0.0134524
+0.0144522
+0.0141924
+0.01328
+0.0126215
+0.0120293
+0.0118003
+0.0119018
+0.0123481
+0.0130671
+0.0140585
+0.0152706
+0.0166734
+0.0181902
+0.0197792
+0.0214609
+0.0231747
+0.0247146
+0.0231298
+0.0216511
+0.0203014
+0.0191081
+0.0181019
+0.017303
+0.0167421
+0.0164259
+0.0163989
+0.0166624
+0.0172002
+0.0179638
+0.0189512
+0.0201295
+0.0214633
+0.0227934
+0.0295283
+0.028733
+0.0280864
+0.0275936
+0.0272398
+0.0270593
+0.0270555
+0.0272286
+0.0275751
+0.0280887
+0.0287312
+0.0295196
+0.0304456
+0.031497
+0.0326617
+0.033928
+0.0352849
+0.0367106
+0.0381674
+0.0396495
+0.0411948
+0.0424104
+0.0430105
+0.043045
+0.0409929
+0.0388944
+0.0368066
+0.0347315
+0.0326714
+0.0306295
+0.0286097
+0.0266168
+0.0246576
+0.0227406
+0.0208638
+0.019042
+0.017306
+0.0156843
+0.0141688
+0.012799
+0.0116375
+0.0107735
+0.0102514
+0.0099181
+0.00881343
+0.00796031
+0.00752333
+0.00755206
+0.00793862
+0.00730911
+0.0066829
+0.00661944
+0.00721331
+0.00827807
+0.00860542
+0.00915107
+0.0100618
+0.0113126
+0.0128067
+0.0137826
+0.0133857
+0.0131602
+0.0131376
+0.0133904
+0.0138767
+0.0145434
+0.0152605
+0.0161588
+0.0158042
+0.0149901
+0.0142276
+0.0136922
+0.0134953
+0.0135895
+0.0140238
+0.014675
+0.0155643
+0.0166953
+0.0179904
+0.0194439
+0.020974
+0.0225796
+0.0242762
+0.0260288
+0.024722
+0.0233443
+0.0220983
+0.0210074
+0.0200964
+0.0193799
+0.0188655
+0.0185856
+0.0185617
+0.0187949
+0.0192758
+0.0199721
+0.0206105
+0.0210482
+0.02168
+0.0225082
+0.031523
+0.0307792
+0.0301765
+0.0297118
+0.0293835
+0.0292162
+0.0292127
+0.029373
+0.0296946
+0.0301721
+0.0307797
+0.031517
+0.0323859
+0.0333762
+0.0344775
+0.0356794
+0.0369721
+0.0383465
+0.0397809
+0.0412384
+0.0427263
+0.0442726
+0.0447667
+0.0426288
+0.0404965
+0.0383708
+0.0362529
+0.0341441
+0.0320464
+0.0299619
+0.0278937
+0.0258457
+0.0238231
+0.021833
+0.0198851
+0.0179931
+0.0161526
+0.0144016
+0.0127867
+0.0113175
+0.0100292
+0.00904435
+0.00849321
+0.00831529
+0.00705618
+0.00609218
+0.00550917
+0.00552464
+0.00606697
+0.00543046
+0.00467332
+0.00459033
+0.00531869
+0.00651651
+0.00705985
+0.00766335
+0.00863658
+0.00991074
+0.0114521
+0.0131695
+0.0149914
+0.0150371
+0.0150338
+0.0152414
+0.0157068
+0.0164104
+0.0171028
+0.0170086
+0.0171778
+0.0166944
+0.0159422
+0.0154663
+0.0152923
+0.0153947
+0.0157794
+0.0164184
+0.0172178
+0.0182467
+0.0194654
+0.0208162
+0.0223007
+0.0238355
+0.0254491
+0.0271438
+0.0264001
+0.0251146
+0.0239608
+0.0229586
+0.0221281
+0.0214749
+0.0210023
+0.0207512
+0.0207298
+0.0204763
+0.0202879
+0.0202932
+0.0205251
+0.0209452
+0.0215801
+0.0224119
+0.0335421
+0.0328441
+0.0322799
+0.0318398
+0.0315336
+0.0313778
+0.0313745
+0.0315239
+0.0318237
+0.0322698
+0.0328466
+0.0335385
+0.0343563
+0.0352914
+0.0363346
+0.037477
+0.0387098
+0.0400246
+0.041413
+0.0428553
+0.0443132
+0.045806
+0.0444207
+0.0422653
+0.0401137
+0.0379666
+0.0358248
+0.0336893
+0.0315613
+0.0294425
+0.027335
+0.0252417
+0.0231665
+0.0211146
+0.0190935
+0.0171142
+0.0151931
+0.0133537
+0.0115957
+0.00999293
+0.00860578
+0.00752017
+0.00688228
+0.00677295
+0.00550685
+0.00435934
+0.00369955
+0.00358691
+0.00428936
+0.00370949
+0.0027647
+0.00260105
+0.00349337
+0.00498813
+0.0055273
+0.0060449
+0.00711945
+0.00860339
+0.0103172
+0.0121601
+0.014076
+0.0160469
+0.0169742
+0.0171432
+0.0174442
+0.0167895
+0.0164035
+0.0163053
+0.0164818
+0.0169048
+0.0175563
+0.0173243
+0.0171692
+0.0172627
+0.0176066
+0.0182095
+0.0189805
+0.0199185
+0.0210436
+0.0223083
+0.0236995
+0.0252047
+0.0267497
+0.0283668
+0.0281487
+0.0269468
+0.0258748
+0.0249496
+0.0241184
+0.0230396
+0.0221257
+0.0213978
+0.0208755
+0.020564
+0.0203367
+0.0203382
+0.0205743
+0.021037
+0.0216822
+0.0225103
+0.0355815
+0.0349243
+0.0343943
+0.0339757
+0.033689
+0.0335432
+0.0335401
+0.0336799
+0.0339606
+0.034379
+0.0349284
+0.03558
+0.0363519
+0.0372369
+0.0382271
+0.0393146
+0.0404914
+0.0417501
+0.0430835
+0.0444825
+0.0459328
+0.0463507
+0.0441808
+0.0420131
+0.0398479
+0.0376856
+0.0355269
+0.0333723
+0.0312227
+0.0290792
+0.0269434
+0.0248171
+0.0227031
+0.020605
+0.0185285
+0.0164815
+0.0144766
+0.0125341
+0.0106643
+0.00891036
+0.00739299
+0.00620046
+0.00549656
+0.00543338
+0.00420438
+0.00290742
+0.0022774
+0.00197782
+0.00291346
+0.00208568
+0.000938393
+0.000716831
+0.00204267
+0.00396645
+0.00397943
+0.00458158
+0.00586053
+0.00749032
+0.0093367
+0.0112673
+0.0132617
+0.0153099
+0.0173928
+0.0179463
+0.0170431
+0.0163725
+0.0159764
+0.0158755
+0.0160567
+0.0164907
+0.0169631
+0.0167953
+0.016902
+0.0172453
+0.0178528
+0.0186987
+0.0197524
+0.0209827
+0.0223604
+0.02386
+0.025201
+0.0266214
+0.0279106
+0.0292959
+0.0298486
+0.0283233
+0.0268801
+0.0255435
+0.024331
+0.0232621
+0.022355
+0.0216193
+0.0210861
+0.0207687
+0.0205827
+0.0205899
+0.0208231
+0.0212805
+0.021948
+0.0227742
+0.0376379
+0.0370172
+0.0365174
+0.0361182
+0.0358486
+0.0357116
+0.0357088
+0.03584
+0.036104
+0.0364978
+0.0370173
+0.0376383
+0.0383689
+0.0392084
+0.04015
+0.0411867
+0.0423115
+0.0435176
+0.0447984
+0.0461477
+0.0475557
+0.0462247
+0.0440487
+0.0418741
+0.0397013
+0.0375306
+0.0353624
+0.0331971
+0.0310354
+0.0288781
+0.0267261
+0.0245811
+0.0224448
+0.0203201
+0.0182111
+0.0161239
+0.0140682
+0.0120601
+0.0101031
+0.00824133
+0.00658396
+0.00530651
+0.00455541
+0.00454319
+0.00292543
+0.00114387
+0.000565595
+0.00119993
+0.00215364
+0.00146629
+-0.00012504
+-0.000466285
+0.00126494
+0.00336532
+0.0028199
+0.00340601
+0.00484495
+0.0066629
+0.00860919
+0.0106508
+0.0127421
+0.0148615
+0.0169942
+0.0178393
+0.0169185
+0.0162427
+0.0158434
+0.0157414
+0.0158929
+0.0163312
+0.0166354
+0.0164643
+0.0165533
+0.0169036
+0.0175229
+0.018384
+0.0194548
+0.0207028
+0.0220979
+0.0236142
+0.0252297
+0.0264384
+0.0277345
+0.0291282
+0.0301801
+0.0286725
+0.0272478
+0.02593
+0.0247255
+0.0236597
+0.0227555
+0.0220328
+0.0215098
+0.0211982
+0.0210168
+0.021062
+0.0212956
+0.021743
+0.0223958
+0.0231985
+0.0397087
+0.0391209
+0.0386432
+0.0382661
+0.0380118
+0.0378826
+0.0378799
+0.0380037
+0.0382528
+0.0386247
+0.0391159
+0.0397108
+0.0404039
+0.0412019
+0.042099
+0.0430888
+0.0441652
+0.045322
+0.0465532
+0.0478531
+0.0483808
+0.0462024
+0.0440253
+0.0418495
+0.0396754
+0.0375032
+0.0353333
+0.0331661
+0.0310022
+0.0288424
+0.0266876
+0.0245391
+0.0223989
+0.0202694
+0.0181545
+0.0160599
+0.0139948
+0.0119743
+0.00999916
+0.00810917
+0.0064101
+0.00509941
+0.00433155
+0.00439228
+0.00229793
+0.000150919
+-0.00100401
+0.000506618
+0.00150296
+0.00125891
+-0.00079872
+-0.000851552
+0.00131385
+0.00303182
+0.00230646
+0.00288485
+0.00446176
+0.00630769
+0.00832102
+0.0104062
+0.0125275
+0.0146692
+0.0168235
+0.0179891
+0.0170764
+0.016407
+0.0160116
+0.0158608
+0.0160028
+0.0164382
+0.0165808
+0.0164097
+0.0164906
+0.0168423
+0.0174638
+0.0183277
+0.0194016
+0.0206527
+0.0220511
+0.0235703
+0.0251887
+0.0264346
+0.0277308
+0.0291247
+0.0306102
+0.0291767
+0.0277655
+0.0264605
+0.0252783
+0.0242369
+0.023355
+0.0226514
+0.0221431
+0.0218357
+0.0216645
+0.0217087
+0.0219519
+0.0223862
+0.0230216
+0.0238132
+0.0417917
+0.0412336
+0.0407758
+0.0404187
+0.040178
+0.0400558
+0.0400532
+0.0401703
+0.040406
+0.0407583
+0.0412241
+0.0417953
+0.0424544
+0.0432146
+0.0440707
+0.0450172
+0.0460485
+0.0471592
+0.0483436
+0.0495966
+0.0484586
+0.0462835
+0.0441095
+0.041937
+0.0397663
+0.037598
+0.0354324
+0.0332701
+0.0311117
+0.0289582
+0.0268108
+0.024671
+0.0225409
+0.0204236
+0.0183237
+0.0162477
+0.0142062
+0.0122165
+0.0102823
+0.00845257
+0.00683847
+0.00562863
+0.00495559
+0.00465679
+0.00261202
+0.000843366
+0.000345718
+0.00133963
+0.00233045
+0.00197327
+0.0006375
+0.000691226
+0.00207327
+0.00360623
+0.00295296
+0.00341449
+0.00477101
+0.00655193
+0.00852591
+0.0105846
+0.0126793
+0.0147991
+0.0169369
+0.0184003
+0.017509
+0.0168567
+0.0164238
+0.0162687
+0.0164072
+0.0168321
+0.0167863
+0.0166167
+0.0167173
+0.0170642
+0.0176776
+0.018531
+0.0195932
+0.0208321
+0.0222184
+0.0237257
+0.0253059
+0.0266117
+0.0278996
+0.0292855
+0.0307633
+0.0298081
+0.0284282
+0.0271551
+0.0260045
+0.0249934
+0.0241392
+0.0234591
+0.0229653
+0.02266
+0.0225076
+0.0225502
+0.0227844
+0.0232031
+0.0238168
+0.0246045
+0.0438852
+0.0433541
+0.0429143
+0.0425751
+0.0423467
+0.0422308
+0.0422283
+0.0423394
+0.0425631
+0.0428976
+0.0433405
+0.0438883
+0.0445183
+0.0452438
+0.0460622
+0.0469686
+0.047958
+0.0490254
+0.0501658
+0.0507876
+0.0486172
+0.0464488
+0.0442825
+0.0421188
+0.039958
+0.0378007
+0.0356474
+0.0334989
+0.0313564
+0.0292209
+0.0270943
+0.0249788
+0.0228774
+0.0207944
+0.018736
+0.0167114
+0.0147342
+0.0128267
+0.011
+0.00931233
+0.00787286
+0.00681433
+0.00624784
+0.00554497
+0.0038647
+0.0027574
+0.00250175
+0.00321789
+0.00393975
+0.0035827
+0.00275362
+0.00280156
+0.00367175
+0.00486899
+0.00435683
+0.00465614
+0.00579546
+0.00737762
+0.00917852
+0.0111184
+0.013137
+0.0152032
+0.0173001
+0.0190038
+0.0181421
+0.0175071
+0.0170861
+0.016937
+0.0170701
+0.0174694
+0.0172689
+0.0171041
+0.0171734
+0.01751
+0.0181072
+0.0189405
+0.0199803
+0.0211962
+0.0225598
+0.0240456
+0.0256061
+0.0269367
+0.0282073
+0.0295826
+0.0310516
+0.0305838
+0.0292405
+0.0280043
+0.0268901
+0.0259135
+0.0250907
+0.0244371
+0.0239592
+0.0236557
+0.0235252
+0.0235659
+0.0237901
+0.0241914
+0.0247806
+0.0255386
+0.0459878
+0.0454812
+0.0450578
+0.0447349
+0.0445175
+0.0444073
+0.044405
+0.0445106
+0.0447235
+0.045042
+0.0454639
+0.0459864
+0.0465938
+0.0472875
+0.0480711
+0.0489403
+0.0498906
+0.0509175
+0.0520164
+0.0510319
+0.0488724
+0.0467158
+0.0445626
+0.0424131
+0.0402681
+0.0381283
+0.0359947
+0.0338683
+0.0317506
+0.0296436
+0.0275496
+0.0254719
+0.0234148
+0.0213843
+0.0193887
+0.0174399
+0.0155557
+0.0137624
+0.0120735
+0.0105562
+0.00930989
+0.00835908
+0.00790409
+0.00691192
+0.00562879
+0.00484369
+0.00468215
+0.00523625
+0.00584268
+0.00550362
+0.00491935
+0.00496536
+0.00556443
+0.00655855
+0.00618466
+0.00640212
+0.00727288
+0.00859398
+0.0101878
+0.0119718
+0.0138728
+0.0158488
+0.0178749
+0.0197978
+0.0189672
+0.0183561
+0.0179551
+0.0178133
+0.0179399
+0.0183202
+0.0180069
+0.017825
+0.0178831
+0.0182066
+0.0187817
+0.0195863
+0.0205935
+0.0217752
+0.0231047
+0.0245575
+0.0260874
+0.0274285
+0.0286773
+0.030031
+0.0314791
+0.031493
+0.0301901
+0.0289945
+0.0279198
+0.0269806
+0.0261913
+0.0255625
+0.0251053
+0.0248055
+0.024687
+0.0247258
+0.0249481
+0.0253311
+0.0258944
+0.0266207
+0.0480982
+0.0476127
+0.0472057
+0.0468975
+0.0466902
+0.0465851
+0.0465829
+0.0466836
+0.0468866
+0.0471905
+0.0475934
+0.0480928
+0.0486793
+0.0493437
+0.0500951
+0.0509298
+0.0518437
+0.0528326
+0.0535171
+0.0513686
+0.0492239
+0.0470834
+0.0449477
+0.0428177
+0.040694
+0.0385778
+0.0364705
+0.0343735
+0.032289
+0.0302196
+0.0281684
+0.02614
+0.0241399
+0.0221758
+0.0202583
+0.0184019
+0.0166254
+0.0149298
+0.0133778
+0.0120261
+0.0109289
+0.0101254
+0.00975311
+0.00860938
+0.00754854
+0.00697606
+0.00686453
+0.00726644
+0.00787732
+0.00755464
+0.00709547
+0.00714075
+0.00760834
+0.00848057
+0.00819245
+0.00836019
+0.00904436
+0.0101372
+0.0115194
+0.0131236
+0.0148782
+0.0167358
+0.0186659
+0.020648
+0.0199951
+0.0194163
+0.0190376
+0.018904
+0.0190233
+0.0193686
+0.0189663
+0.0187672
+0.0188225
+0.0191301
+0.0196782
+0.0204475
+0.0214143
+0.022553
+0.0238391
+0.0252498
+0.0267401
+0.028083
+0.0293039
+0.0306299
+0.032051
+0.0325245
+0.0312647
+0.0301118
+0.0290784
+0.0281778
+0.027423
+0.0268193
+0.0263823
+0.0260888
+0.0259749
+0.0260118
+0.0262322
+0.0266027
+0.0271396
+0.0278334
+0.0502155
+0.0497467
+0.0493573
+0.0490626
+0.0488645
+0.0487641
+0.048762
+0.0488582
+0.0490522
+0.0493428
+0.0497282
+0.0502064
+0.0507736
+0.051411
+0.0521327
+0.0529353
+0.0538151
+0.0547684
+0.0539273
+0.0517959
+0.0496696
+0.0475492
+0.0454354
+0.0433293
+0.041232
+0.0391449
+0.0370698
+0.0350088
+0.0329645
+0.0309402
+0.0289402
+0.0269699
+0.0250362
+0.0231483
+0.0213184
+0.0195498
+0.0178624
+0.0162951
+0.0148861
+0.0136739
+0.0127145
+0.0120309
+0.0116443
+0.0104736
+0.0095803
+0.00913604
+0.00905067
+0.00936923
+0.00994423
+0.00963367
+0.00927796
+0.00932275
+0.00968556
+0.0105026
+0.010268
+0.0103951
+0.0109513
+0.0118855
+0.0130844
+0.0145166
+0.0161203
+0.0178492
+0.0196703
+0.0215603
+0.0212002
+0.0206464
+0.020288
+0.0201626
+0.0202746
+0.02049
+0.020095
+0.0199069
+0.019959
+0.0202494
+0.020768
+0.0214984
+0.0224198
+0.0235099
+0.0247463
+0.026108
+0.0275519
+0.0288892
+0.0300774
+0.0313707
+0.0327597
+0.0336672
+0.0324518
+0.0313425
+0.0303511
+0.0294894
+0.0287657
+0.0281905
+0.0277662
+0.0274871
+0.0273778
+0.0274128
+0.027622
+0.0279849
+0.0284958
+0.0291605
+0.0523388
+0.0518855
+0.0515122
+0.0512299
+0.0510402
+0.0509441
+0.0509421
+0.0510342
+0.0512199
+0.0514983
+0.0518677
+0.0523264
+0.0528719
+0.0534882
+0.0541822
+0.0549548
+0.0558028
+0.05654
+0.0544227
+0.0523115
+0.050207
+0.0481103
+0.0460223
+0.0439443
+0.0418778
+0.0398246
+0.0377869
+0.0357672
+0.0337688
+0.0317958
+0.0298532
+0.0279473
+0.0260861
+0.0242788
+0.0225201
+0.0208428
+0.019269
+0.0178258
+0.0165436
+0.0154529
+0.0146108
+0.0140183
+0.0134487
+0.0124135
+0.0116697
+0.0113078
+0.0112386
+0.0115049
+0.0120234
+0.0117533
+0.0114636
+0.011508
+0.0118039
+0.012483
+0.0123645
+0.0124704
+0.0129377
+0.0137424
+0.0148089
+0.0160883
+0.0175489
+0.0191493
+0.0208572
+0.0226483
+0.0225542
+0.0220215
+0.0216859
+0.0215686
+0.0216733
+0.0217604
+0.0213889
+0.0212123
+0.0212612
+0.021534
+0.0220223
+0.0227124
+0.0235865
+0.024625
+0.0258081
+0.0271165
+0.0285094
+0.0298347
+0.0309867
+0.0322436
+0.0335965
+0.0349101
+0.0337395
+0.032674
+0.0317242
+0.0309008
+0.0302075
+0.0296603
+0.0292485
+0.0289836
+0.0288789
+0.028912
+0.0291105
+0.029463
+0.0299487
+0.0305839
+0.0544675
+0.0540284
+0.05367
+0.0533991
+0.0532172
+0.053125
+0.053123
+0.0532114
+0.0533895
+0.0536566
+0.0540113
+0.0544519
+0.0549763
+0.0555741
+0.0562424
+0.0569871
+0.0578052
+0.0570968
+0.0550009
+0.0529128
+0.0508332
+0.0487634
+0.0467047
+0.0446584
+0.0426266
+0.0406113
+0.038615
+0.036641
+0.034693
+0.0327757
+0.0308948
+0.0290572
+0.0272623
+0.0255208
+0.0238533
+0.0222767
+0.0208116
+0.019483
+0.0183059
+0.0173265
+0.0165667
+0.0160454
+0.0153494
+0.0144254
+0.0137906
+0.0134857
+0.0134274
+0.013658
+0.0141363
+0.013895
+0.0136508
+0.0136951
+0.0139446
+0.014524
+0.0144887
+0.0145796
+0.0149812
+0.0156814
+0.0166426
+0.0177914
+0.0191224
+0.0206009
+0.0221974
+0.0238882
+0.0240307
+0.0235207
+0.0232067
+0.0230972
+0.0231949
+0.0231687
+0.0228201
+0.0226547
+0.0227005
+0.0229562
+0.0234149
+0.0240651
+0.0248917
+0.0258779
+0.0270061
+0.0282591
+0.0295983
+0.0309069
+0.0320204
+0.0332382
+0.0345522
+0.0359517
+0.0351167
+0.0340943
+0.0331852
+0.0323958
+0.0317352
+0.0312147
+0.0308153
+0.030564
+0.0304636
+0.0304951
+0.0306833
+0.0310247
+0.0314871
+0.0320919
+0.0566009
+0.0561749
+0.0558303
+0.05557
+0.0553952
+0.0553066
+0.0553048
+0.0553896
+0.0555608
+0.0558175
+0.0561586
+0.0565824
+0.0570873
+0.0576678
+0.058312
+0.0590306
+0.0598118
+0.0577314
+0.0556595
+0.053597
+0.051545
+0.049505
+0.0474784
+0.045467
+0.043473
+0.0414988
+0.0395473
+0.0376223
+0.0357278
+0.0338692
+0.0320514
+0.0302685
+0.0285423
+0.0268837
+0.0253063
+0.023826
+0.0224621
+0.0212277
+0.0201524
+0.0192671
+0.0185738
+0.0181105
+0.0172974
+0.016483
+0.0159304
+0.0156672
+0.0156167
+0.0158213
+0.0162698
+0.01605
+0.015839
+0.0158831
+0.0160987
+0.0166031
+0.0166302
+0.0167097
+0.0170613
+0.0176793
+0.0185372
+0.0195917
+0.0208078
+0.0221742
+0.0236648
+0.0252576
+0.0255994
+0.0251209
+0.0248272
+0.0247248
+0.0248156
+0.0246913
+0.0243516
+0.0241966
+0.0242395
+0.0244791
+0.0249098
+0.0255219
+0.0263028
+0.0272379
+0.028312
+0.0295099
+0.0308047
+0.0320931
+0.0331667
+0.0343439
+0.0356171
+0.0369763
+0.0365734
+0.0355929
+0.0347228
+0.0339663
+0.0333369
+0.0328377
+0.0324545
+0.0322159
+0.0321197
+0.0321495
+0.0323281
+0.0326531
+0.0330991
+0.0336749
+0.0587365
+0.0583248
+0.057993
+0.0577424
+0.0575741
+0.057489
+0.0574872
+0.0575688
+0.0577335
+0.0579806
+0.058309
+0.0587174
+0.059204
+0.059767
+0.0603902
+0.0610844
+0.0604973
+0.0584413
+0.0563954
+0.0543609
+0.0523389
+0.050331
+0.0483391
+0.0463651
+0.0444113
+0.0424808
+0.0405766
+0.0387028
+0.0368639
+0.0350578
+0.0332916
+0.0315786
+0.029928
+0.0283506
+0.0268595
+0.0254696
+0.0241934
+0.0230484
+0.022062
+0.0212535
+0.0206183
+0.0202001
+0.0192975
+0.018571
+0.0180823
+0.0178509
+0.0178064
+0.0179897
+0.0184012
+0.0182134
+0.0180278
+0.0180718
+0.0182616
+0.0187078
+0.0187831
+0.0188537
+0.019166
+0.0197181
+0.0204908
+0.0214602
+0.0225801
+0.0238451
+0.0252372
+0.0267365
+0.027232
+0.0267827
+0.0265074
+0.0264115
+0.0263583
+0.026288
+0.0259603
+0.0258151
+0.0258552
+0.02608
+0.0264847
+0.0270612
+0.0277989
+0.0286853
+0.0297071
+0.0308509
+0.0321035
+0.0333769
+0.0344126
+0.0355503
+0.0367818
+0.0380995
+0.0381005
+0.0371602
+0.0363248
+0.0356024
+0.0350024
+0.0345199
+0.0341555
+0.0339289
+0.0338366
+0.0338649
+0.0340345
+0.0343433
+0.0347744
+0.0353229
+0.0608747
+0.0604776
+0.0601576
+0.0599161
+0.059754
+0.0596719
+0.0596702
+0.0597489
+0.0599076
+0.0601457
+0.0604624
+0.0608563
+0.0613259
+0.0618696
+0.0624762
+0.0631474
+0.0612535
+0.0592238
+0.0572059
+0.0552012
+0.0532112
+0.0512375
+0.0492822
+0.0473475
+0.0454361
+0.0435509
+0.0416957
+0.0398735
+0.0380788
+0.0363273
+0.0346259
+0.0329823
+0.0314055
+0.0299062
+0.0284966
+0.0271887
+0.025991
+0.0249287
+0.0240196
+0.0232689
+0.0226902
+0.0221878
+0.0213351
+0.0206803
+0.0202426
+0.0200362
+0.0199963
+0.0201614
+0.0205324
+0.0203827
+0.020217
+0.0202535
+0.0204304
+0.0208301
+0.0209438
+0.0210073
+0.0212881
+0.0217865
+0.0224882
+0.023375
+0.0244204
+0.0255946
+0.0268963
+0.0283079
+0.0289372
+0.0285147
+0.0281262
+0.0278365
+0.0277175
+0.0277713
+0.0276492
+0.0275128
+0.0275505
+0.0277616
+0.0281421
+0.0286854
+0.0293823
+0.0302223
+0.0311938
+0.0322849
+0.033484
+0.0347512
+0.0357471
+0.0368465
+0.0380371
+0.0393128
+0.0396897
+0.0387876
+0.0379857
+0.0372955
+0.0367232
+0.0362564
+0.0359097
+0.0356942
+0.0356055
+0.0356324
+0.0357937
+0.0360874
+0.0365043
+0.0370273
+0.0630166
+0.062633
+0.0623241
+0.062091
+0.0619346
+0.0618554
+0.0618538
+0.0619297
+0.0620828
+0.0623126
+0.0626183
+0.0629987
+0.0634525
+0.0639782
+0.064569
+0.0640921
+0.0620778
+0.0600759
+0.0580877
+0.0561145
+0.0541581
+0.0522202
+0.0503031
+0.0484092
+0.0465414
+0.0447029
+0.0428911
+0.0411112
+0.0393728
+0.0376815
+0.0360441
+0.0344681
+0.0329625
+0.0315373
+0.0302039
+0.0289661
+0.0278449
+0.026856
+0.0260144
+0.0253134
+0.0247825
+0.0241803
+0.0234004
+0.022805
+0.0224088
+0.0222225
+0.0221864
+0.0223355
+0.0226748
+0.0225561
+0.0224065
+0.02243
+0.0226034
+0.0229654
+0.0231101
+0.0231679
+0.0234228
+0.0238767
+0.0245187
+0.0253344
+0.0263078
+0.0274076
+0.028627
+0.0299572
+0.0305739
+0.0299971
+0.0295638
+0.0292883
+0.0291753
+0.0292264
+0.0294044
+0.0292762
+0.0293116
+0.0295101
+0.0298683
+0.0303807
+0.0310396
+0.0318359
+0.0327596
+0.0338002
+0.0349473
+0.0361908
+0.0371629
+0.0382216
+0.0393738
+0.0406081
+0.041334
+0.040466
+0.0396981
+0.0390381
+0.0384913
+0.0380398
+0.0377095
+0.0375044
+0.0374191
+0.0374447
+0.0375982
+0.0378779
+0.0382807
+0.0387805
+0.0651616
+0.0647908
+0.0644922
+0.064267
+0.0641159
+0.0640394
+0.0640378
+0.0641111
+0.0642591
+0.0644811
+0.0647766
+0.0651444
+0.0655834
+0.0660921
+0.066668
+0.0649543
+0.0629676
+0.0609949
+0.0590376
+0.0570973
+0.0551757
+0.0532749
+0.0513971
+0.0495451
+0.0477209
+0.0459193
+0.0441527
+0.0424258
+0.0407435
+0.0391116
+0.0375366
+0.036026
+0.0345882
+0.0332328
+0.0319645
+0.0307967
+0.0297447
+0.0288211
+0.0280337
+0.0273805
+0.0268905
+0.0262045
+0.0254866
+0.0249411
+0.0245793
+0.0244096
+0.0243765
+0.0245123
+0.0248257
+0.0247326
+0.0245918
+0.0246074
+0.0247795
+0.0251101
+0.0252807
+0.0253337
+0.025567
+0.0259835
+0.0265746
+0.027329
+0.0282337
+0.0292723
+0.0304171
+0.0316721
+0.0320519
+0.0314947
+0.0310823
+0.0308204
+0.030713
+0.0307616
+0.0309462
+0.0310939
+0.0311272
+0.0313142
+0.031652
+0.032136
+0.0327596
+0.033515
+0.0343937
+0.0353863
+0.0364835
+0.0376764
+0.0386511
+0.0396701
+0.0407814
+0.0419777
+0.0430264
+0.0421914
+0.0414554
+0.0408239
+0.0402958
+0.0398639
+0.0395488
+0.0393533
+0.0392712
+0.0392956
+0.0394418
+0.0397086
+0.0400934
+0.0405762
+0.0673097
+0.0669507
+0.0666618
+0.066444
+0.0662978
+0.0662238
+0.0662223
+0.0662932
+0.0664363
+0.0666511
+0.066937
+0.067293
+0.067718
+0.0682108
+0.0678502
+0.0658781
+0.0639201
+0.0619778
+0.0600525
+0.0581461
+0.0562603
+0.0543974
+0.0525598
+0.0507446
+0.0489562
+0.0472016
+0.045485
+0.0438106
+0.0421835
+0.0406095
+0.0390949
+0.0376469
+0.0362735
+0.0349803
+0.0337748
+0.0326718
+0.0316821
+0.0308165
+0.0300734
+0.0294655
+0.0290107
+0.0282536
+0.0275891
+0.0270859
+0.0267532
+0.0265973
+0.0265668
+0.0266914
+0.026983
+0.0269114
+0.0267729
+0.0267852
+0.0269482
+0.0272622
+0.0274544
+0.0275034
+0.0277184
+0.028103
+0.0286505
+0.0293516
+0.0301957
+0.0311713
+0.0322566
+0.0334427
+0.0336008
+0.0330697
+0.0326772
+0.0324282
+0.0323261
+0.0323723
+0.0325508
+0.0328615
+0.0329885
+0.0331649
+0.0334841
+0.033942
+0.034533
+0.0352504
+0.0360868
+0.0370341
+0.0380839
+0.0392269
+0.0402036
+0.0411842
+0.0422557
+0.0434114
+0.0446444
+0.0439583
+0.0432524
+0.0426475
+0.0421361
+0.0417233
+0.0414223
+0.0412357
+0.0411565
+0.0411798
+0.0413194
+0.0415741
+0.0419418
+0.0424091
+0.0694604
+0.0691126
+0.0688328
+0.0686218
+0.0684803
+0.0684087
+0.0684072
+0.0684758
+0.0686143
+0.0688224
+0.0690992
+0.0694442
+0.0698561
+0.0703339
+0.0688049
+0.0668609
+0.0649326
+0.0630215
+0.0611291
+0.0592573
+0.057408
+0.0555827
+0.0537768
+0.0520003
+0.0502566
+0.0485491
+0.0468817
+0.0452591
+0.043686
+0.0421681
+0.0407115
+0.0393231
+0.0380094
+0.0367726
+0.0356278
+0.0345839
+0.0336505
+0.0328369
+0.032133
+0.0315648
+0.0310831
+0.0303225
+0.0297042
+0.0292375
+0.0289295
+0.0287855
+0.0287571
+0.0288723
+0.0291453
+0.029092
+0.0289554
+0.0289647
+0.0291154
+0.02942
+0.0296307
+0.0296762
+0.0298756
+0.0302328
+0.0307423
+0.0313968
+0.0321873
+0.0331042
+0.0341372
+0.0352605
+0.0352179
+0.0347116
+0.0343378
+0.034101
+0.0340039
+0.0340478
+0.0342205
+0.0345162
+0.034888
+0.0350549
+0.035357
+0.0357909
+0.0363519
+0.0370341
+0.0378311
+0.0387357
+0.0397406
+0.0408333
+0.0418133
+0.042757
+0.04379
+0.0449062
+0.0460996
+0.0457618
+0.0450842
+0.0445042
+0.0440085
+0.0436134
+0.0433256
+0.0431472
+0.0430708
+0.043093
+0.0432264
+0.04347
+0.0438218
+0.0442745
+0.0716135
+0.0712762
+0.0710049
+0.0708004
+0.0706633
+0.0705939
+0.0705924
+0.0706589
+0.0707932
+0.0709948
+0.0712633
+0.0715978
+0.0719974
+0.0717461
+0.0698153
+0.0679002
+0.0660023
+0.0641231
+0.0622642
+0.0604275
+0.0586103
+0.056816
+0.0550505
+0.0533165
+0.0516172
+0.0499562
+0.0483375
+0.0467653
+0.0452446
+0.0437808
+0.0423797
+0.0410477
+0.0397859
+0.0386061
+0.0375172
+0.0365274
+0.0356449
+0.0348718
+0.0342089
+0.0336758
+0.0331201
+0.0324073
+0.0318296
+0.0313945
+0.0311079
+0.030974
+0.0309475
+0.0310545
+0.0313115
+0.0312739
+0.0311391
+0.0311458
+0.031286
+0.0315779
+0.0318089
+0.0318515
+0.0320373
+0.0323706
+0.032847
+0.0334603
+0.0342032
+0.0350674
+0.0360442
+0.0371186
+0.0368943
+0.0364113
+0.0360551
+0.0358296
+0.0357373
+0.035779
+0.0359461
+0.0362277
+0.0366384
+0.036978
+0.0372646
+0.0376765
+0.0382098
+0.0388594
+0.0396197
+0.0404844
+0.0414469
+0.0424919
+0.0434711
+0.0443796
+0.0453757
+0.0464538
+0.0476084
+0.0475978
+0.0469467
+0.0463882
+0.0459091
+0.0455304
+0.0452548
+0.0450841
+0.0450102
+0.0450315
+0.0451592
+0.0453924
+0.0457294
+0.0461677
+0.0737688
+0.0734414
+0.0731781
+0.0729797
+0.0728467
+0.0727794
+0.072778
+0.0728425
+0.0729727
+0.0731684
+0.0734289
+0.0737536
+0.0741416
+0.0727816
+0.070879
+0.0689935
+0.0671265
+0.0652796
+0.0634537
+0.0616448
+0.0598613
+0.0581057
+0.0563805
+0.0546887
+0.0530335
+0.0514182
+0.049847
+0.048324
+0.0468539
+0.045442
+0.0440937
+0.0428112
+0.0416019
+0.040475
+0.0394378
+0.0384974
+0.0376611
+0.0369237
+0.0362983
+0.0357963
+0.0351756
+0.0345053
+0.0339633
+0.0335559
+0.0332879
+0.0331628
+0.0331379
+0.0332379
+0.0334801
+0.0334522
+0.0333237
+0.0333281
+0.0334592
+0.0337323
+0.0339887
+0.0340287
+0.0342027
+0.0345151
+0.0349623
+0.0355392
+0.0362394
+0.0370562
+0.0379819
+0.0390088
+0.0386222
+0.038161
+0.0378214
+0.0376065
+0.0375185
+0.0375583
+0.0377201
+0.0379886
+0.0383804
+0.0388919
+0.0392017
+0.0395935
+0.0401013
+0.0407208
+0.0414469
+0.0422743
+0.0431968
+0.0441968
+0.0451632
+0.0460382
+0.0469992
+0.0480409
+0.0491583
+0.0494628
+0.0488365
+0.0482945
+0.0478345
+0.0474712
+0.0472069
+0.0470432
+0.0469718
+0.0469922
+0.0471146
+0.0473381
+0.0476614
+0.0480824
+0.0759261
+0.0756081
+0.0753524
+0.0751598
+0.0750306
+0.0749652
+0.0749639
+0.0750265
+0.0751529
+0.0753429
+0.0755959
+0.0759113
+0.0757585
+0.0738676
+0.0719937
+0.0701381
+0.0683024
+0.0664838
+0.0646853
+0.0629118
+0.0611653
+0.0594482
+0.0577631
+0.056113
+0.054501
+0.0529306
+0.0514056
+0.0499301
+0.0485088
+0.0471464
+0.0458463
+0.0446116
+0.0434524
+0.0423748
+0.0413852
+0.0404901
+0.0396947
+0.0389907
+0.038399
+0.0379248
+0.0372466
+0.0366142
+0.0361039
+0.0357208
+0.0354692
+0.0353518
+0.0353283
+0.0354222
+0.0356504
+0.0356297
+0.035509
+0.0355114
+0.0356345
+0.0358911
+0.0361699
+0.0362075
+0.0363711
+0.0366651
+0.0370864
+0.0376307
+0.0382927
+0.0390665
+0.0399457
+0.0409233
+0.040395
+0.0399543
+0.03963
+0.039425
+0.0393411
+0.039379
+0.0395346
+0.0397909
+0.0401651
+0.0406541
+0.0411609
+0.0415342
+0.0420185
+0.0426101
+0.0433046
+0.0440971
+0.0449818
+0.045943
+0.0468965
+0.0477398
+0.0486672
+0.049674
+0.0507554
+0.0513534
+0.0507505
+0.050224
+0.0497818
+0.0494329
+0.0491791
+0.049022
+0.0489528
+0.0489724
+0.0490898
+0.0493044
+0.0496149
+0.0500194
+0.0780853
+0.0777761
+0.0775276
+0.0773403
+0.0772148
+0.0771513
+0.07715
+0.0772108
+0.0773337
+0.0775184
+0.0777643
+0.0780709
+0.0768649
+0.0750018
+0.073157
+0.0713309
+0.0695198
+0.0677311
+0.0659667
+0.0642285
+0.0625188
+0.0608399
+0.0591945
+0.0575854
+0.0560158
+0.054489
+0.0530089
+0.0515793
+0.0502047
+0.0488893
+0.0476327
+0.0464456
+0.0453333
+0.0443015
+0.0433559
+0.0425023
+0.0417395
+0.0410706
+0.0405093
+0.0400399
+0.0393305
+0.0387321
+0.0382501
+0.0378887
+0.0376516
+0.037541
+0.0375188
+0.0376072
+0.0378223
+0.0378087
+0.037695
+0.0376956
+0.0378116
+0.0380535
+0.0383521
+0.0383877
+0.0385421
+0.0388196
+0.0392177
+0.0397328
+0.0403604
+0.0410953
+0.041932
+0.042716
+0.0422063
+0.0417855
+0.0414755
+0.0412797
+0.0411995
+0.0412358
+0.0413725
+0.0416175
+0.0419754
+0.0424436
+0.0430184
+0.0434981
+0.0439608
+0.0445266
+0.0451917
+0.0459516
+0.0468013
+0.0477258
+0.0486667
+0.0494799
+0.0503753
+0.0513485
+0.0523954
+0.0532671
+0.052686
+0.0521741
+0.0517486
+0.051413
+0.0511691
+0.0510181
+0.0509509
+0.0509698
+0.0510826
+0.0512888
+0.0515874
+0.0519766
+0.0802463
+0.0799454
+0.0797036
+0.0795215
+0.0793994
+0.0793377
+0.0793364
+0.0793956
+0.0795151
+0.0796947
+0.0799339
+0.0798698
+0.0780171
+0.0761822
+0.0743626
+0.072561
+0.0707814
+0.0690254
+0.0672949
+0.065592
+0.0639187
+0.0622776
+0.0606712
+0.0591023
+0.0575741
+0.0560898
+0.054653
+0.0532676
+0.0519376
+0.0506631
+0.0494517
+0.0483093
+0.0472409
+0.0462517
+0.0453468
+0.0445313
+0.0437984
+0.0431614
+0.0426276
+0.0420995
+0.0414254
+0.0408577
+0.040401
+0.0400591
+0.0398349
+0.0397304
+0.0397093
+0.0397928
+0.0399962
+0.0399889
+0.0398815
+0.0398805
+0.0399901
+0.0402189
+0.0405352
+0.0405691
+0.0407151
+0.040978
+0.0413553
+0.0418441
+0.0424405
+0.04314
+0.0439377
+0.044534
+0.0440468
+0.0436446
+0.043348
+0.0431606
+0.0430839
+0.0431186
+0.0432429
+0.0434773
+0.0438201
+0.0442688
+0.0448201
+0.0454705
+0.0459255
+0.0464674
+0.047105
+0.0478346
+0.0486514
+0.0495414
+0.05047
+0.0512545
+0.0521194
+0.0530607
+0.0540744
+0.0551566
+0.0546374
+0.0541427
+0.0537328
+0.0534096
+0.0531748
+0.0530296
+0.0529643
+0.0529824
+0.053091
+0.0532895
+0.0535769
+0.0539518
+0.0824087
+0.0821158
+0.0818804
+0.0817032
+0.0815843
+0.0815243
+0.081523
+0.0815806
+0.0816969
+0.0818717
+0.0821046
+0.0810385
+0.0792122
+0.0773996
+0.0756069
+0.0738357
+0.0720875
+0.0703641
+0.0686674
+0.0669993
+0.0653621
+0.0637581
+0.06219
+0.0606604
+0.0591724
+0.0577292
+0.0563343
+0.0549912
+0.0537013
+0.0524685
+0.0512998
+0.0501994
+0.0491721
+0.0482225
+0.0473553
+0.0465725
+0.0458694
+0.0452616
+0.0447529
+0.0441717
+0.0435297
+0.0429899
+0.0425561
+0.0422316
+0.042019
+0.0419199
+0.0418998
+0.041979
+0.0421718
+0.0421703
+0.0420684
+0.042066
+0.04217
+0.042387
+0.0427154
+0.0427513
+0.04289
+0.0431396
+0.0434982
+0.0439631
+0.0445311
+0.0451983
+0.0459603
+0.0463842
+0.0459134
+0.0455262
+0.0452419
+0.0450624
+0.044989
+0.0450221
+0.0451421
+0.0453667
+0.0456953
+0.0461257
+0.0466552
+0.0472803
+0.0479097
+0.0484294
+0.0490415
+0.0497427
+0.0505287
+0.0513862
+0.0523028
+0.0530603
+0.0538962
+0.054807
+0.055789
+0.0568385
+0.0566051
+0.0561277
+0.0557323
+0.0554209
+0.0551946
+0.0550547
+0.0549913
+0.0550087
+0.0551133
+0.0553045
+0.0555815
+0.0559429
+0.0921117
+0.090813
+0.0895332
+0.0882737
+0.0870427
+0.0857591
+0.084482
+0.083243
+0.0818643
+0.0802021
+0.0785658
+0.0769571
+0.0753777
+0.0738296
+0.0723147
+0.0708351
+0.0693932
+0.0679913
+0.0666319
+0.065316
+0.0640426
+0.0628199
+0.0616507
+0.0605383
+0.0594857
+0.0584963
+0.0575733
+0.05672
+0.0559394
+0.0552348
+0.054609
+0.0540647
+0.0536046
+0.0532306
+0.0529281
+0.0527142
+0.0525906
+0.0525582
+0.052617
+0.0527668
+0.0530068
+0.0533358
+0.0537521
+0.0542426
+0.0547283
+0.0550416
+0.0554116
+0.0558266
+0.0563237
+0.056901
+0.0575559
+0.0582858
+0.0590879
+0.0599396
+0.0605253
+0.0611774
+0.0618923
+0.062665
+0.0630489
+0.0619185
+0.060846
+0.0598345
+0.0588871
+0.0580071
+0.0571975
+0.0564613
+0.0558014
+0.0552206
+0.0547214
+0.0543061
+0.0539766
+0.0537344
+0.0535807
+0.0535164
+0.0535417
+0.0536421
+0.0538286
+0.0541033
+0.0544647
+0.0549113
+0.0554409
+0.0560362
+0.0566779
+0.0573615
+0.0581196
+0.0589495
+0.0598481
+0.0608124
+0.0618311
+0.0628438
+0.0639024
+0.0649654
+0.0660839
+0.0672551
+0.068471
+0.0697341
+0.0710365
+0.0723746
+0.0737535
+0.075171
+0.0905118
+0.0891899
+0.0879026
+0.0866351
+0.0853883
+0.08417
+0.0828777
+0.0816143
+0.0803908
+0.0790435
+0.0773828
+0.0757489
+0.0741438
+0.0725694
+0.0710276
+0.0695207
+0.0680509
+0.0666207
+0.0652328
+0.0638881
+0.0625856
+0.0613338
+0.0601358
+0.0589948
+0.0579142
+0.0568975
+0.0559481
+0.0550696
+0.0542653
+0.0535386
+0.0528928
+0.0523307
+0.0518552
+0.0514684
+0.0511556
+0.0509341
+0.0508063
+0.0507727
+0.0508336
+0.0509887
+0.051237
+0.0515772
+0.0520076
+0.0525144
+0.052852
+0.0531763
+0.0535554
+0.0539847
+0.0544986
+0.055095
+0.0557711
+0.056524
+0.0573508
+0.0582483
+0.0589815
+0.0596505
+0.0603835
+0.0611752
+0.0615684
+0.0604103
+0.0593105
+0.0582724
+0.0572992
+0.0563944
+0.0555613
+0.0548031
+0.054123
+0.053524
+0.0530089
+0.05258
+0.0522396
+0.0519893
+0.0518305
+0.051764
+0.0517901
+0.0518923
+0.0520851
+0.0523689
+0.0527423
+0.0532033
+0.0537456
+0.0543565
+0.0549817
+0.0556861
+0.0564667
+0.0573205
+0.0582442
+0.0592346
+0.0602207
+0.0612321
+0.0622635
+0.0633539
+0.0645004
+0.0656956
+0.0669394
+0.0682186
+0.0695419
+0.0709082
+0.0723151
+0.0737051
+0.0889372
+0.0875914
+0.0862803
+0.0850055
+0.0837514
+0.0825163
+0.0813007
+0.0800124
+0.078764
+0.0775574
+0.0762443
+0.0745855
+0.0729549
+0.0713542
+0.0697855
+0.0682512
+0.0667535
+0.0652949
+0.0638782
+0.0625043
+0.0611724
+0.0598911
+0.0586636
+0.0574934
+0.056384
+0.0553392
+0.0543626
+0.053458
+0.0526291
+0.0518795
+0.0512127
+0.050632
+0.0501404
+0.0497403
+0.0494165
+0.0491873
+0.0490549
+0.0490201
+0.0490832
+0.0492437
+0.0495008
+0.0498529
+0.0502981
+0.050757
+0.0510007
+0.0513367
+0.0517254
+0.0521697
+0.0527014
+0.0533179
+0.0540162
+0.0547933
+0.0556458
+0.0565611
+0.0574134
+0.058166
+0.0589175
+0.0597286
+0.0601313
+0.058945
+0.0578173
+0.0567518
+0.0557522
+0.0548218
+0.0539644
+0.0531835
+0.0524824
+0.0518645
+0.0513327
+0.0508897
+0.0505379
+0.0502791
+0.0501149
+0.0500461
+0.0500729
+0.0501771
+0.0503765
+0.0506699
+0.0510557
+0.0515318
+0.0520856
+0.0526766
+0.0533214
+0.0540475
+0.0548515
+0.05573
+0.0566797
+0.0576448
+0.0586022
+0.0596002
+0.0606594
+0.0617782
+0.0629504
+0.0641674
+0.0654259
+0.0667327
+0.068085
+0.0694799
+0.0708638
+0.0722224
+0.087389
+0.0860191
+0.0846837
+0.0833844
+0.0821231
+0.0808835
+0.0796612
+0.0784391
+0.0771652
+0.0759332
+0.0747451
+0.0734691
+0.071813
+0.0701863
+0.068591
+0.0670293
+0.0655036
+0.0640166
+0.0625709
+0.0611677
+0.0598061
+0.0584948
+0.0572374
+0.0560374
+0.0548986
+0.053825
+0.0528204
+0.0518889
+0.0510345
+0.0502612
+0.0495726
+0.0489725
+0.048464
+0.04805
+0.0477147
+0.0474773
+0.0473401
+0.047304
+0.0473694
+0.0475357
+0.047802
+0.0481665
+0.048623
+0.0489246
+0.0491773
+0.0495257
+0.0499245
+0.0503846
+0.050935
+0.0515726
+0.0522942
+0.0530965
+0.0539758
+0.0547932
+0.0556725
+0.056623
+0.0574976
+0.0583284
+0.05874
+0.0575249
+0.0563689
+0.0552755
+0.0542486
+0.053292
+0.0524096
+0.0516051
+0.0508823
+0.0502447
+0.0496956
+0.0492379
+0.0488742
+0.0486066
+0.0484367
+0.0483655
+0.0483924
+0.0485003
+0.0487065
+0.0490099
+0.0494087
+0.0499005
+0.0504539
+0.0510354
+0.0517008
+0.0524493
+0.0532774
+0.0541815
+0.0551216
+0.0560181
+0.0569809
+0.0580052
+0.0590931
+0.0602392
+0.061425
+0.0626621
+0.0639503
+0.0652867
+0.0666682
+0.0680448
+0.0693894
+0.0707763
+0.0858604
+0.0844743
+0.083114
+0.0817899
+0.0805035
+0.0792569
+0.0780331
+0.0768249
+0.0755961
+0.074338
+0.073124
+0.0719562
+0.0707207
+0.0690682
+0.0674464
+0.0658576
+0.0643042
+0.0627887
+0.0613141
+0.0598814
+0.0584899
+0.0571484
+0.0558607
+0.0546305
+0.0534617
+0.0523586
+0.0513254
+0.0503663
+0.0494856
+0.0486876
+0.0479765
+0.0473561
+0.0468301
+0.0464015
+0.0460536
+0.0458075
+0.0456653
+0.045628
+0.0456957
+0.0458681
+0.046144
+0.0465215
+0.0469486
+0.0471227
+0.047385
+0.0477465
+0.0481558
+0.0486328
+0.0492027
+0.0498624
+0.0506085
+0.051437
+0.0522254
+0.0530568
+0.0539644
+0.0549444
+0.0559647
+0.0569781
+0.0573692
+0.0561448
+0.0549696
+0.0538478
+0.0527931
+0.0518097
+0.0509015
+0.0500729
+0.0493276
+0.0486697
+0.0481025
+0.0476295
+0.0472534
+0.0469766
+0.0468008
+0.0467271
+0.0467543
+0.0468659
+0.0470793
+0.0473931
+0.0478053
+0.0482928
+0.048839
+0.0494369
+0.0501235
+0.0508952
+0.0517481
+0.0526403
+0.0534887
+0.0544119
+0.0553972
+0.0564466
+0.057557
+0.058718
+0.0599309
+0.0611982
+0.0625166
+0.063883
+0.0652511
+0.0665801
+0.0679537
+0.0693693
+0.0843411
+0.0829498
+0.0815731
+0.0802235
+0.0789116
+0.0776394
+0.0764088
+0.0752011
+0.0740095
+0.0727739
+0.0715333
+0.0703391
+0.0691937
+0.0680023
+0.0663545
+0.0647389
+0.0631579
+0.0616143
+0.0601109
+0.0586488
+0.0572273
+0.0558555
+0.0545373
+0.0532765
+0.0520774
+0.0509443
+0.0498818
+0.0488943
+0.0479867
+0.0471634
+0.0464289
+0.0457876
+0.0452433
+0.0447984
+0.0444375
+0.0441824
+0.0440349
+0.0439962
+0.0440665
+0.0442452
+0.0445312
+0.0449222
+0.0451763
+0.0453551
+0.0456276
+0.0460029
+0.0464232
+0.0469178
+0.0475083
+0.0481912
+0.0489627
+0.0497181
+0.0504958
+0.0513552
+0.0522923
+0.0532888
+0.0543306
+0.0554395
+0.0560482
+0.0547943
+0.0536007
+0.0524714
+0.0513898
+0.050379
+0.0494446
+0.0485911
+0.0478228
+0.0471438
+0.0465581
+0.0460692
+0.0456803
+0.0453939
+0.0452119
+0.0451356
+0.045163
+0.0452785
+0.0454993
+0.0458239
+0.0462384
+0.0467239
+0.0472677
+0.0478852
+0.0485937
+0.0493893
+0.0502276
+0.0510221
+0.0518969
+0.0528354
+0.0538421
+0.0549178
+0.0560516
+0.0572371
+0.0584808
+0.0597788
+0.0611278
+0.0624862
+0.0637975
+0.0651562
+0.0665592
+0.0679911
+0.0828473
+0.0814412
+0.0800533
+0.0786869
+0.0773489
+0.0760506
+0.0747939
+0.0735809
+0.0723889
+0.0712177
+0.069975
+0.0687538
+0.0675815
+0.0664607
+0.0653178
+0.0636759
+0.0620678
+0.0604964
+0.0589645
+0.0574733
+0.0560219
+0.0546199
+0.0532711
+0.0519796
+0.0507499
+0.0495865
+0.0484942
+0.0474779
+0.0465426
+0.0456933
+0.0449348
+0.0442718
+0.0437087
+0.0432463
+0.0428724
+0.0426079
+0.042455
+0.0424148
+0.0424877
+0.0426731
+0.0429695
+0.0432671
+0.0434387
+0.0436259
+0.0439091
+0.044299
+0.0447308
+0.0452438
+0.0458559
+0.0465631
+0.0472808
+0.0479981
+0.0488032
+0.0496919
+0.0506598
+0.051663
+0.0527369
+0.0538786
+0.0547831
+0.0534995
+0.0522763
+0.0511178
+0.0500284
+0.0490045
+0.0480434
+0.0471645
+0.0463726
+0.045672
+0.0450672
+0.044562
+0.0441598
+0.0438634
+0.0436751
+0.0435961
+0.0436236
+0.0437432
+0.0439718
+0.0443013
+0.0447005
+0.0452025
+0.0457474
+0.0463852
+0.0471162
+0.0478812
+0.0486153
+0.0494357
+0.0503302
+0.0512925
+0.0523289
+0.0534317
+0.0545863
+0.055803
+0.0570778
+0.0584071
+0.059754
+0.0610454
+0.062387
+0.0637757
+0.0652028
+0.0666323
+0.0813784
+0.079952
+0.0785564
+0.0771725
+0.0758174
+0.0744923
+0.0732089
+0.0719692
+0.0707757
+0.0695978
+0.0684429
+0.0672024
+0.0660026
+0.0648546
+0.0637612
+0.0626714
+0.061037
+0.0594383
+0.0578784
+0.0563539
+0.054873
+0.0534408
+0.0520614
+0.0507392
+0.0494786
+0.0482846
+0.0471622
+0.0461165
+0.0451531
+0.0442771
+0.0434939
+0.0428086
+0.042226
+0.0417503
+0.0413641
+0.0410899
+0.0409313
+0.0408897
+0.0409653
+0.0411575
+0.0414207
+0.0415611
+0.0417317
+0.0419362
+0.0422322
+0.0426374
+0.0430833
+0.0436157
+0.0442503
+0.0449251
+0.0455741
+0.0463178
+0.0471516
+0.0480709
+0.0490459
+0.0500802
+0.0511874
+0.0523545
+0.0535776
+0.0522645
+0.0510117
+0.0498238
+0.0487055
+0.0476616
+0.0466965
+0.0457983
+0.0449823
+0.0442598
+0.0436354
+0.0431134
+0.0426976
+0.042391
+0.0421961
+0.0421144
+0.0421417
+0.0422655
+0.0424911
+0.0428016
+0.0432147
+0.0437247
+0.0442833
+0.0449418
+0.0456219
+0.0462883
+0.0470473
+0.0478939
+0.0488065
+0.0497983
+0.0508651
+0.0519849
+0.0531709
+0.0544192
+0.0557258
+0.0570591
+0.0583279
+0.0596502
+0.0610225
+0.0624372
+0.0638599
+0.0653188
+0.0799378
+0.0784852
+0.0770675
+0.0756866
+0.0743091
+0.0729666
+0.0716558
+0.0703888
+0.069168
+0.0679959
+0.0668269
+0.0656781
+0.0644595
+0.0632835
+0.0621625
+0.0610994
+0.0600683
+0.0584431
+0.0568515
+0.0552971
+0.0537871
+0.0523252
+0.0509156
+0.0495628
+0.0482716
+0.0470469
+0.0458942
+0.044819
+0.043827
+0.042924
+0.0421157
+0.0414076
+0.040805
+0.0403125
+0.0399191
+0.039635
+0.0394705
+0.0394273
+0.0395057
+0.0396739
+0.0397467
+0.0399024
+0.0400705
+0.0402834
+0.0405916
+0.041013
+0.0414806
+0.0420388
+0.0426518
+0.0432364
+0.0439104
+0.0446818
+0.0455456
+0.0464881
+0.047477
+0.0485448
+0.0496808
+0.0508764
+0.0521366
+0.0510936
+0.0498114
+0.0485941
+0.0474468
+0.0463747
+0.045383
+0.044475
+0.0436555
+0.042913
+0.0422687
+0.0417297
+0.0412999
+0.0409828
+0.0407812
+0.0406944
+0.0407049
+0.04082
+0.0410423
+0.0413637
+0.041791
+0.0423014
+0.0428812
+0.0434662
+0.0440563
+0.044746
+0.0455307
+0.0463912
+0.04733
+0.04835
+0.0494349
+0.0505859
+0.0518041
+0.053081
+0.0544072
+0.0556503
+0.0569505
+0.058304
+0.0597021
+0.0611188
+0.0625649
+0.0640533
+0.0784204
+0.0770528
+0.0756082
+0.0742002
+0.0728309
+0.0714653
+0.0701368
+0.0688416
+0.0675924
+0.066392
+0.0652382
+0.064086
+0.0629435
+0.0617502
+0.0606008
+0.0595099
+0.0584807
+0.0574973
+0.0558858
+0.0543082
+0.0527698
+0.051279
+0.0498398
+0.048457
+0.0471354
+0.0458805
+0.0446977
+0.043593
+0.0425725
+0.0416422
+0.0408085
+0.0400773
+0.0394544
+0.038941
+0.0385253
+0.0382307
+0.0380602
+0.0380154
+0.0380864
+0.0380499
+0.0381252
+0.0382973
+0.0384623
+0.0386841
+0.0390051
+0.0394435
+0.0398755
+0.0403813
+0.0409968
+0.0415946
+0.0422948
+0.0430951
+0.04399
+0.0449367
+0.045959
+0.0470593
+0.0482203
+0.0494512
+0.0507437
+0.0499913
+0.04868
+0.0474337
+0.0462577
+0.0451573
+0.0441383
+0.0432065
+0.0423636
+0.0416179
+0.0409657
+0.0404092
+0.0399653
+0.0396376
+0.039429
+0.0393252
+0.0393224
+0.0394316
+0.0396616
+0.0399941
+0.0404224
+0.0409312
+0.0414302
+0.0419346
+0.0425459
+0.0432584
+0.0440464
+0.0449275
+0.0458964
+0.0469338
+0.0480449
+0.0492285
+0.0504794
+0.0517883
+0.0530184
+0.0542933
+0.0556252
+0.0570042
+0.0584133
+0.0598447
+0.0613209
+0.0628387
+0.0769047
+0.0755427
+0.0741849
+0.0727494
+0.0713522
+0.0699957
+0.0686416
+0.0673262
+0.0660484
+0.0648194
+0.0636421
+0.0625044
+0.0613791
+0.0602422
+0.0590791
+0.0579596
+0.0569024
+0.055911
+0.0549452
+0.0533821
+0.0518231
+0.0503064
+0.0488386
+0.0474266
+0.0460755
+0.0447909
+0.0435785
+0.0424447
+0.0413959
+0.0404386
+0.0395795
+0.0388252
+0.0381819
+0.0376355
+0.0372052
+0.0369001
+0.0367235
+0.0366251
+0.0365232
+0.0364851
+0.036563
+0.0367527
+0.0369141
+0.0371452
+0.0374796
+0.0378196
+0.0382272
+0.0387545
+0.0393864
+0.0400054
+0.0407329
+0.0415633
+0.0424705
+0.0434404
+0.0444971
+0.0456201
+0.0468168
+0.0480666
+0.0493743
+0.0489623
+0.0476227
+0.0463479
+0.0451436
+0.0440154
+0.0429693
+0.0420116
+0.0411478
+0.0403797
+0.0397075
+0.0391331
+0.0386745
+0.0383357
+0.0381201
+0.0380183
+0.0380051
+0.038118
+0.0383482
+0.0386849
+0.0391094
+0.0395064
+0.0399384
+0.0404636
+0.0410857
+0.0417999
+0.0426149
+0.0435248
+0.0445079
+0.0455729
+0.0467163
+0.0479327
+0.0492098
+0.050438
+0.0516837
+0.0529906
+0.0543489
+0.0557488
+0.0571629
+0.0586247
+0.0601309
+0.0616781
+0.075417
+0.0740329
+0.0726831
+0.0713363
+0.069911
+0.0685259
+0.0671835
+0.0658413
+0.0645418
+0.0632836
+0.0620772
+0.0609257
+0.0598061
+0.0587059
+0.0575809
+0.0564516
+0.0553656
+0.0543463
+0.0533974
+0.0524518
+0.0509437
+0.0494049
+0.0479167
+0.0464767
+0.0450972
+0.0437839
+0.0425428
+0.0413807
+0.0403041
+0.0393203
+0.0384362
+0.037659
+0.0369846
+0.0364151
+0.0359702
+0.0356546
+0.0353382
+0.0351308
+0.0350273
+0.0349877
+0.0350682
+0.0352753
+0.0354337
+0.0356744
+0.035909
+0.0362057
+0.0366312
+0.0371812
+0.0378313
+0.0384753
+0.0392312
+0.040092
+0.0410012
+0.0420051
+0.0430857
+0.0442361
+0.045443
+0.0467215
+0.0480658
+0.0480112
+0.0466443
+0.0453421
+0.0441103
+0.0429549
+0.0418824
+0.0408992
+0.0400118
+0.0392249
+0.0385286
+0.0379364
+0.0374631
+0.0371133
+0.0368903
+0.0367712
+0.0367576
+0.0368743
+0.0371074
+0.0373761
+0.0376024
+0.037954
+0.0384275
+0.0389935
+0.0396502
+0.0404053
+0.0412492
+0.0421702
+0.0431816
+0.0442603
+0.0454002
+0.046611
+0.0478912
+0.0491152
+0.0503936
+0.0517331
+0.0531281
+0.0545252
+0.0559702
+0.0574625
+0.0589983
+0.0605744
+0.0739513
+0.0725504
+0.0711801
+0.0698438
+0.0685094
+0.0670955
+0.0657242
+0.0643943
+0.0630688
+0.0617872
+0.060551
+0.0593699
+0.0582473
+0.0571484
+0.0560602
+0.0549653
+0.0538629
+0.0528144
+0.051801
+0.0508261
+0.0498957
+0.0485806
+0.0470665
+0.0456074
+0.0442059
+0.0428652
+0.0415968
+0.0404074
+0.0393042
+0.0382947
+0.0373864
+0.0365827
+0.0358732
+0.0352858
+0.0347675
+0.0342788
+0.0339248
+0.0337097
+0.0336078
+0.0335664
+0.0336496
+0.0338654
+0.0340301
+0.0341597
+0.0343363
+0.0346464
+0.0350908
+0.0356645
+0.0363417
+0.0370117
+0.0377969
+0.0386489
+0.0395913
+0.0406292
+0.0417165
+0.0428828
+0.0441267
+0.0454422
+0.0468233
+0.0471428
+0.04575
+0.0444215
+0.0431635
+0.0419821
+0.040884
+0.0398762
+0.0389656
+0.0381591
+0.0374409
+0.0368312
+0.0363436
+0.0359829
+0.0357389
+0.0356154
+0.0356013
+0.0356571
+0.0356518
+0.0357736
+0.03601
+0.036377
+0.0368707
+0.0374647
+0.0381475
+0.0389196
+0.0397959
+0.0407711
+0.0418179
+0.0429063
+0.0440767
+0.0453226
+0.0466112
+0.0478562
+0.0491673
+0.0505394
+0.0519369
+0.0533636
+0.0548392
+0.0563614
+0.0579264
+0.0595309
+0.072451
+0.0710936
+0.0697037
+0.0683486
+0.0670275
+0.0657069
+0.064306
+0.0629502
+0.0616346
+0.0603281
+0.0590667
+0.0578553
+0.0567027
+0.0556126
+0.0545372
+0.0534618
+0.0523488
+0.0512621
+0.0502228
+0.0492165
+0.048282
+0.047398
+0.0463042
+0.0448204
+0.0433964
+0.0420322
+0.0407379
+0.0395227
+0.0383941
+0.03736
+0.0364284
+0.035588
+0.0348305
+0.0340893
+0.0334734
+0.0329657
+0.0325974
+0.0323444
+0.0321829
+0.0321686
+0.0322958
+0.0325421
+0.0325875
+0.0326497
+0.0328344
+0.0331586
+0.0336227
+0.034221
+0.0349262
+0.0356227
+0.0364008
+0.0372713
+0.0382476
+0.0392794
+0.040398
+0.0416009
+0.042882
+0.0442345
+0.0456494
+0.0463617
+0.0449447
+0.0435917
+0.042309
+0.0411031
+0.0399809
+0.0389497
+0.0380169
+0.0371899
+0.0364526
+0.0358261
+0.0353245
+0.0349488
+0.0346854
+0.0344553
+0.0341973
+0.0340784
+0.0340928
+0.0342278
+0.0344832
+0.0348663
+0.0353811
+0.0359942
+0.0367027
+0.037503
+0.0384116
+0.0394211
+0.0404959
+0.0416189
+0.0428241
+0.0440913
+0.0453885
+0.0466661
+0.0480097
+0.0494052
+0.0508105
+0.052268
+0.0537737
+0.0553252
+0.0569177
+0.0585374
+0.0709865
+0.0696006
+0.0682569
+0.0668794
+0.0655406
+0.0642372
+0.0629322
+0.0615461
+0.0602078
+0.0589086
+0.0576235
+0.0563852
+0.0552019
+0.0540815
+0.0530279
+0.0519159
+0.0508097
+0.0497036
+0.0486513
+0.0476534
+0.0466946
+0.0458011
+0.0449178
+0.0440978
+0.042681
+0.0412933
+0.039975
+0.0387358
+0.0375836
+0.0365204
+0.0355367
+0.0345455
+0.0336679
+0.0329018
+0.0321948
+0.0316077
+0.0311638
+0.0308694
+0.0307016
+0.0306865
+0.0308202
+0.0310095
+0.0311555
+0.0312205
+0.0314136
+0.0317523
+0.0322367
+0.0328603
+0.0335939
+0.0342854
+0.0350717
+0.0359744
+0.0369416
+0.0380034
+0.0391573
+0.0403971
+0.0417152
+0.043038
+0.0444123
+0.0456618
+0.0442334
+0.042858
+0.0415526
+0.0403241
+0.0391796
+0.0381267
+0.0371733
+0.036327
+0.0355718
+0.0349296
+0.034415
+0.0338754
+0.0333574
+0.0329611
+0.0326913
+0.032567
+0.0325846
+0.0327258
+0.0330096
+0.0334097
+0.0339466
+0.034596
+0.0353329
+0.0361637
+0.0371051
+0.0381493
+0.0392487
+0.0404087
+0.041634
+0.0429357
+0.0442405
+0.0455503
+0.0469259
+0.0483192
+0.0497552
+0.0512427
+0.0527777
+0.0543535
+0.0559614
+0.0575394
+0.0695603
+0.0681454
+0.0667724
+0.0654439
+0.0640804
+0.0627589
+0.0614763
+0.060189
+0.0588199
+0.0575016
+0.0562211
+0.0549606
+0.0537484
+0.0525971
+0.0515132
+0.0503694
+0.0492542
+0.048161
+0.0470999
+0.0460878
+0.0451454
+0.0442223
+0.0433387
+0.0425083
+0.0417331
+0.0406568
+0.0393135
+0.0380448
+0.0368598
+0.0356514
+0.0345299
+0.0335054
+0.0325016
+0.0316181
+0.0308649
+0.030252
+0.029788
+0.0294798
+0.0293093
+0.0292935
+0.0292963
+0.0294178
+0.0297009
+0.0298837
+0.0300854
+0.0304389
+0.0309438
+0.0315929
+0.032329
+0.0330166
+0.0338324
+0.0347229
+0.0357169
+0.0368124
+0.0379937
+0.0391874
+0.0404646
+0.0418128
+0.0432261
+0.044702
+0.0436045
+0.0422245
+0.0408997
+0.0396509
+0.0384864
+0.037414
+0.036411
+0.035435
+0.0345447
+0.0337171
+0.0329739
+0.0323471
+0.031859
+0.0315159
+0.0312513
+0.0311212
+0.031145
+0.0313052
+0.0316044
+0.0320253
+0.0325851
+0.0332799
+0.034049
+0.0349106
+0.0358839
+0.0369104
+0.0380303
+0.0392239
+0.0405002
+0.0418379
+0.0431732
+0.0445127
+0.0459018
+0.0473097
+0.0487755
+0.0502915
+0.0518448
+0.0534408
+0.0550038
+0.056596
+0.0681723
+0.0667303
+0.0653275
+0.0639691
+0.0626578
+0.0613101
+0.0600077
+0.058749
+0.0574804
+0.0561307
+0.0548353
+0.053578
+0.0523453
+0.0511634
+0.0500485
+0.0488672
+0.0477253
+0.0466463
+0.0455691
+0.0445552
+0.0435921
+0.042688
+0.0417776
+0.0409552
+0.0401789
+0.03947
+0.0387003
+0.0373178
+0.036
+0.0347414
+0.0335115
+0.0323782
+0.0313384
+0.030421
+0.0296375
+0.0289986
+0.0285142
+0.0281921
+0.0280192
+0.0278236
+0.0277793
+0.0279074
+0.0282056
+0.0286508
+0.0288625
+0.0292308
+0.0297563
+0.0304307
+0.0311346
+0.0318481
+0.0326478
+0.0335556
+0.0345445
+0.0355897
+0.0367309
+0.0379643
+0.0392813
+0.0406673
+0.042119
+0.0436325
+0.0425681
+0.0411146
+0.0397233
+0.0383936
+0.037134
+0.0359639
+0.034879
+0.0338873
+0.0330104
+0.0322022
+0.0315186
+0.0308987
+0.0303873
+0.0300274
+0.0298129
+0.029732
+0.029757
+0.0299426
+0.0302683
+0.0307287
+0.0313117
+0.0320341
+0.032861
+0.0337281
+0.0346801
+0.0357412
+0.0368781
+0.0381034
+0.0394123
+0.0407908
+0.0421819
+0.0435465
+0.0449449
+0.0463819
+0.0478704
+0.0493708
+0.0508563
+0.0523914
+0.053964
+0.0555761
+0.0668155
+0.0653553
+0.0639251
+0.0625362
+0.0611942
+0.0599023
+0.0585727
+0.0572918
+0.0560604
+0.0547974
+0.0534737
+0.0522043
+0.0509839
+0.0497319
+0.0485465
+0.0474101
+0.0462323
+0.0451302
+0.0440769
+0.0430441
+0.0420828
+0.0411471
+0.0402693
+0.0394249
+0.0386563
+0.0379565
+0.0373242
+0.0365615
+0.0351277
+0.0337752
+0.0325088
+0.0313442
+0.0302891
+0.0293389
+0.0285257
+0.0278614
+0.0273568
+0.027017
+0.0266314
+0.0264039
+0.0263572
+0.0264922
+0.0268062
+0.0272677
+0.0277589
+0.0281417
+0.0286871
+0.0293401
+0.0298742
+0.0305564
+0.0313738
+0.0322957
+0.033295
+0.0343782
+0.0355583
+0.0368311
+0.0381783
+0.0396001
+0.0410895
+0.0426395
+0.0413141
+0.0398203
+0.0383891
+0.037025
+0.0357432
+0.0345275
+0.0334098
+0.0323842
+0.0314665
+0.030678
+0.0299945
+0.0294305
+0.0289883
+0.0286292
+0.0284086
+0.028331
+0.0284225
+0.028664
+0.0290175
+0.0295047
+0.0301246
+0.0308755
+0.0317287
+0.032592
+0.0335726
+0.034643
+0.0358142
+0.0370747
+0.0384187
+0.0398319
+0.0412775
+0.0426615
+0.0440606
+0.045403
+0.0468095
+0.0482745
+0.0497928
+0.0513597
+0.0529247
+0.0544623
+0.065443
+0.0640094
+0.0625648
+0.0611483
+0.0597752
+0.0584519
+0.0571819
+0.055873
+0.0546166
+0.0534105
+0.0520994
+0.050831
+0.0495717
+0.0482832
+0.0470614
+0.0459116
+0.0447898
+0.0436513
+0.0425884
+0.0415737
+0.0405937
+0.0396409
+0.0387534
+0.0379495
+0.0371726
+0.0364727
+0.0358642
+0.0353058
+0.0343126
+0.0329266
+0.0316263
+0.0304279
+0.0293444
+0.028385
+0.0275436
+0.026855
+0.0263077
+0.0257329
+0.0253304
+0.0250912
+0.025042
+0.0251841
+0.0255141
+0.025996
+0.0265735
+0.0270965
+0.027568
+0.028083
+0.0286406
+0.0293514
+0.0301819
+0.0311279
+0.0321464
+0.0332671
+0.0344839
+0.0357845
+0.0371687
+0.0386277
+0.0401532
+0.0416585
+0.0400951
+0.038591
+0.0371278
+0.035721
+0.0343906
+0.0331517
+0.0320053
+0.0309516
+0.030002
+0.029174
+0.0284908
+0.0279488
+0.0275058
+0.027216
+0.0270763
+0.0270275
+0.0271234
+0.0273826
+0.0277911
+0.0283353
+0.0290151
+0.0298196
+0.0306751
+0.0315589
+0.0325482
+0.0336511
+0.0348557
+0.0361496
+0.0375268
+0.0389726
+0.0404004
+0.041634
+0.0429406
+0.044317
+0.0457569
+0.0472545
+0.0488027
+0.0502756
+0.0517992
+0.0533693
+0.0640971
+0.0626328
+0.0612118
+0.0598047
+0.0584038
+0.0570487
+0.0557468
+0.0544905
+0.0532167
+0.0519884
+0.0506621
+0.0493814
+0.0481411
+0.0468921
+0.045633
+0.0444464
+0.043338
+0.0422196
+0.0411262
+0.0401122
+0.0391427
+0.038201
+0.0372809
+0.0364567
+0.0357354
+0.035047
+0.0344297
+0.0339024
+0.0332885
+0.032205
+0.0308742
+0.0296455
+0.0285323
+0.0275486
+0.0267053
+0.0259473
+0.0251784
+0.0245772
+0.0241555
+0.0239046
+0.023853
+0.0240021
+0.0243481
+0.0248526
+0.0254529
+0.0259504
+0.0264358
+0.0269457
+0.0275263
+0.0282504
+0.0291064
+0.0300562
+0.0311099
+0.0322627
+0.0335063
+0.0348434
+0.0362636
+0.0377463
+0.0392718
+0.0405218
+0.0389128
+0.0373611
+0.035876
+0.0344663
+0.0331168
+0.0318284
+0.0306426
+0.0295718
+0.028618
+0.0277577
+0.0270371
+0.026471
+0.0260511
+0.0258032
+0.0256754
+0.0257342
+0.0258957
+0.0261798
+0.0266202
+0.0272171
+0.02795
+0.0287996
+0.0297323
+0.030624
+0.0316424
+0.0327759
+0.0340115
+0.0353363
+0.036744
+0.0380337
+0.0392761
+0.0405653
+0.0419052
+0.0433145
+0.0447867
+0.0462289
+0.0476806
+0.049187
+0.0507434
+0.0523388
+0.0627989
+0.0613035
+0.059851
+0.0584445
+0.0570725
+0.0556896
+0.0543554
+0.0530735
+0.0518418
+0.0506106
+0.0492659
+0.0479562
+0.0467029
+0.045503
+0.0442671
+0.0430428
+0.0418973
+0.0408373
+0.0397212
+0.0386812
+0.0377147
+0.0367749
+0.0358686
+0.0350249
+0.0342863
+0.0336496
+0.0330752
+0.0323855
+0.0317665
+0.0311422
+0.0302624
+0.0290078
+0.0278691
+0.0268611
+0.0259409
+0.0249867
+0.0241937
+0.023569
+0.0231289
+0.0228667
+0.0228128
+0.0229686
+0.0232547
+0.0236135
+0.0241328
+0.0247629
+0.0254102
+0.0259073
+0.0265408
+0.0272748
+0.0281375
+0.0290959
+0.0301832
+0.031369
+0.0326466
+0.0340155
+0.0354309
+0.0369222
+0.0384803
+0.0394344
+0.0378076
+0.036222
+0.0346882
+0.0332282
+0.031852
+0.030571
+0.0293698
+0.0282507
+0.0272621
+0.0264148
+0.0256561
+0.0250665
+0.0246536
+0.0243814
+0.0242844
+0.0243847
+0.024617
+0.025008
+0.0255216
+0.0261724
+0.0269579
+0.0278789
+0.0288353
+0.0297667
+0.0308135
+0.0319763
+0.0331494
+0.0344052
+0.0355685
+0.0367511
+0.0379987
+0.039316
+0.0406799
+0.0420674
+0.043508
+0.0449905
+0.0465162
+0.0480756
+0.0496624
+0.0512782
+0.0613433
+0.0598701
+0.0584296
+0.0570161
+0.0555891
+0.0541884
+0.052819
+0.0515057
+0.0502512
+0.0490434
+0.0478699
+0.0465821
+0.0453007
+0.0440558
+0.0428588
+0.041668
+0.0405238
+0.0394269
+0.0383441
+0.0372977
+0.036276
+0.0353544
+0.0344723
+0.0336467
+0.0328918
+0.0322628
+0.0314685
+0.0307742
+0.0301479
+0.029621
+0.0291597
+0.0285245
+0.0273657
+0.0262716
+0.0251511
+0.0241657
+0.0233449
+0.0227065
+0.0222531
+0.0219804
+0.0217849
+0.0217782
+0.0219834
+0.0223678
+0.0229299
+0.0236087
+0.0244431
+0.0249595
+0.025647
+0.0264241
+0.027267
+0.028255
+0.0293735
+0.0305947
+0.0318814
+0.0332433
+0.0346903
+0.036212
+0.0377995
+0.0383855
+0.0367271
+0.0351201
+0.0335671
+0.032085
+0.0306648
+0.029332
+0.028107
+0.0270043
+0.0260083
+0.025086
+0.0243038
+0.0236828
+0.0232524
+0.0229724
+0.0228695
+0.0229759
+0.0232889
+0.0237792
+0.024413
+0.0251679
+0.0260234
+0.0269921
+0.0279149
+0.0287661
+0.0297279
+0.0308121
+0.0320097
+0.033177
+0.0342944
+0.0354804
+0.0367391
+0.0380503
+0.0393952
+0.0408027
+0.0422525
+0.0437586
+0.0452852
+0.0468471
+0.0484549
+0.0501
+0.0598818
+0.0583853
+0.0569229
+0.0554924
+0.054095
+0.052689
+0.0513068
+0.049954
+0.048662
+0.0474307
+0.0462299
+0.0450309
+0.0438312
+0.0426151
+0.0414118
+0.0402182
+0.0390775
+0.0379774
+0.0369342
+0.0358898
+0.0348842
+0.0339263
+0.0330844
+0.032303
+0.0315714
+0.030747
+0.0299013
+0.0291701
+0.0285884
+0.0280499
+0.027649
+0.0271776
+0.0266411
+0.0256708
+0.024523
+0.0235113
+0.0226668
+0.0220087
+0.0213439
+0.0208824
+0.0206443
+0.0206372
+0.0208613
+0.0212698
+0.0218809
+0.0226083
+0.0234746
+0.0241737
+0.0248825
+0.0256827
+0.0265492
+0.027563
+0.0287069
+0.0299163
+0.0312103
+0.0326003
+0.0340745
+0.0356226
+0.0372352
+0.0373072
+0.0356293
+0.0340097
+0.0324555
+0.0309719
+0.0295221
+0.0281682
+0.0269133
+0.0257639
+0.0247299
+0.0238016
+0.022981
+0.0223433
+0.0218913
+0.0216309
+0.0215647
+0.0216972
+0.0220284
+0.0225325
+0.0232278
+0.0241028
+0.0251102
+0.0260245
+0.0267568
+0.0275913
+0.0285553
+0.0296501
+0.0308617
+0.0319211
+0.0330434
+0.0342303
+0.0354764
+0.0367835
+0.0381403
+0.0395655
+0.0410251
+0.0425186
+0.0440666
+0.0456582
+0.0472655
+0.0488887
+0.0584355
+0.0569322
+0.0554426
+0.0539901
+0.0525737
+0.0511947
+0.0498108
+0.0484515
+0.0471184
+0.0458511
+0.0446022
+0.0434156
+0.0422284
+0.0410627
+0.0399086
+0.0387511
+0.0376051
+0.0365204
+0.0354711
+0.0345034
+0.0334988
+0.0325811
+0.0317035
+0.0309563
+0.0301382
+0.0292035
+0.0283814
+0.0276462
+0.0270317
+0.026552
+0.026143
+0.0255465
+0.0250204
+0.0245931
+0.0240785
+0.0230214
+0.0219764
+0.0211076
+0.0204099
+0.0199268
+0.0196771
+0.0196697
+0.0199048
+0.0203492
+0.0209938
+0.0217782
+0.0226437
+0.023562
+0.0242625
+0.0250962
+0.0259952
+0.0270128
+0.0281321
+0.0293639
+0.0306813
+0.0320942
+0.0335907
+0.03516
+0.0367929
+0.0362775
+0.0345812
+0.0329101
+0.0313032
+0.0297708
+0.0283251
+0.0269547
+0.0256871
+0.0245266
+0.0234597
+0.0225478
+0.0217583
+0.0211201
+0.0206497
+0.0203914
+0.0203403
+0.0205052
+0.0208845
+0.0214377
+0.0221673
+0.0230826
+0.0239828
+0.0248334
+0.0255468
+0.0264039
+0.0273973
+0.0285034
+0.0296205
+0.0306995
+0.0317792
+0.0329554
+0.0342279
+0.0355411
+0.0369081
+0.0383273
+0.0397976
+0.0413119
+0.0428476
+0.0444289
+0.0460432
+0.0476337
+0.0568586
+0.0554726
+0.0539991
+0.0525178
+0.051076
+0.0496768
+0.0483189
+0.0469601
+0.0456278
+0.0443179
+0.0430245
+0.0417931
+0.0406426
+0.0394696
+0.0383446
+0.0372558
+0.0361556
+0.0350709
+0.0340268
+0.0330357
+0.0321247
+0.0311994
+0.0303961
+0.0296242
+0.0287113
+0.0277286
+0.0268831
+0.0261644
+0.0255537
+0.0250724
+0.024588
+0.023915
+0.0234174
+0.0230423
+0.0226494
+0.0223476
+0.0212695
+0.0203707
+0.0196751
+0.0191749
+0.0189152
+0.0189075
+0.0191512
+0.0195936
+0.0202621
+0.0211088
+0.0220003
+0.0230661
+0.0237792
+0.0245931
+0.0255278
+0.0265445
+0.0276842
+0.0289437
+0.0303017
+0.031731
+0.033239
+0.0348187
+0.0364617
+0.0352268
+0.0335139
+0.0318597
+0.0302639
+0.028676
+0.0271721
+0.0257669
+0.0244459
+0.023248
+0.0222022
+0.0212587
+0.0204706
+0.01987
+0.0194843
+0.0192918
+0.0192617
+0.0194357
+0.0198485
+0.0204579
+0.021224
+0.0219257
+0.0228169
+0.0236502
+0.0243401
+0.0251854
+0.0261672
+0.02729
+0.0284005
+0.0293907
+0.0305017
+0.0317252
+0.0329869
+0.0342888
+0.0356659
+0.0370864
+0.038546
+0.0400584
+0.0416264
+0.043205
+0.0447778
+0.0463658
+0.0553065
+0.0538962
+0.0525253
+0.0510856
+0.049614
+0.0481849
+0.0468056
+0.0454724
+0.0441427
+0.0427984
+0.0415025
+0.0402246
+0.0390278
+0.0379034
+0.0367558
+0.0356799
+0.0346393
+0.0336086
+0.0325513
+0.0315698
+0.0306599
+0.029845
+0.0290203
+0.0281394
+0.0273126
+0.0263536
+0.0254685
+0.0247232
+0.0240918
+0.0235622
+0.0229221
+0.0223274
+0.0218396
+0.0214973
+0.0211776
+0.0209613
+0.0207706
+0.0198492
+0.0191354
+0.018651
+0.0183844
+0.0183764
+0.0186013
+0.019054
+0.0197408
+0.0206384
+0.0215613
+0.0226478
+0.0234531
+0.0242779
+0.0251874
+0.0262183
+0.027386
+0.0286639
+0.0299712
+0.0312462
+0.0325978
+0.034035
+0.0355491
+0.0342351
+0.0325035
+0.0308141
+0.0291713
+0.0276033
+0.0261088
+0.024689
+0.0233271
+0.0220716
+0.0209691
+0.0200461
+0.0192895
+0.0186509
+0.0182394
+0.0180495
+0.0181244
+0.0184608
+0.0189735
+0.0195799
+0.0201015
+0.0207679
+0.0215975
+0.0223889
+0.0231165
+0.0240041
+0.0250324
+0.0261685
+0.0271076
+0.0281561
+0.0292868
+0.030471
+0.0317143
+0.033023
+0.0343859
+0.0358115
+0.0372893
+0.0388267
+0.0403925
+0.0419351
+0.0435132
+0.0451019
+0.0537988
+0.0523479
+0.0509499
+0.0495964
+0.0481934
+0.0467352
+0.0453212
+0.043965
+0.0426539
+0.0413041
+0.0399723
+0.0387157
+0.0374716
+0.0362981
+0.0351888
+0.0341076
+0.0330809
+0.0321086
+0.0311177
+0.0301216
+0.0292228
+0.0284235
+0.0275076
+0.0265393
+0.0257205
+0.0250089
+0.0241635
+0.0233983
+0.022739
+0.0219911
+0.0213126
+0.0207482
+0.0202657
+0.0200113
+0.0197423
+0.0195712
+0.0195289
+0.0195606
+0.0188261
+0.0183012
+0.018029
+0.0180209
+0.0182763
+0.018737
+0.0194351
+0.0203348
+0.0212363
+0.0222604
+0.0232816
+0.0241331
+0.0248096
+0.025656
+0.0266421
+0.0277304
+0.0289167
+0.0302152
+0.0316089
+0.0330891
+0.0346446
+0.033306
+0.0315397
+0.0298226
+0.0281651
+0.0265722
+0.0250193
+0.0235645
+0.0222306
+0.0210065
+0.0198718
+0.0188959
+0.0181328
+0.0175278
+0.0171594
+0.0169688
+0.0170483
+0.0174054
+0.0179867
+0.0183439
+0.0189088
+0.0195987
+0.0203785
+0.0212273
+0.0219504
+0.0228352
+0.0238672
+0.0249386
+0.0258759
+0.0268892
+0.027983
+0.0291737
+0.0304292
+0.0317325
+0.0331046
+0.0345504
+0.0360376
+0.0375889
+0.039124
+0.0406453
+0.0422256
+0.0438498
+0.0523155
+0.0508469
+0.0494064
+0.0480228
+0.0466893
+0.0453227
+0.0438862
+0.0424904
+0.0411484
+0.0398279
+0.0384951
+0.0371786
+0.0359273
+0.0347309
+0.0336018
+0.0325407
+0.0315374
+0.0305751
+0.0296794
+0.0286883
+0.0277766
+0.0269349
+0.0259701
+0.0250154
+0.0241589
+0.0234619
+0.0228851
+0.0220392
+0.0211303
+0.0204062
+0.019687
+0.0191193
+0.0187047
+0.0184466
+0.0182535
+0.0181863
+0.0181952
+0.0183699
+0.0187155
+0.0182016
+0.0179279
+0.0179198
+0.0181761
+0.0186393
+0.0192255
+0.0199446
+0.0207135
+0.0215854
+0.0225873
+0.0231235
+0.0237944
+0.0246205
+0.025608
+0.0267388
+0.0279718
+0.0293098
+0.0307446
+0.0322137
+0.0337481
+0.0324031
+0.0306081
+0.0288678
+0.0271873
+0.0255495
+0.0239914
+0.0225262
+0.0211629
+0.0199094
+0.0187897
+0.0178459
+0.0170771
+0.0165263
+0.0161424
+0.0159998
+0.0161419
+0.0165317
+0.0168023
+0.0172337
+0.0177696
+0.0184266
+0.019208
+0.0200138
+0.0207749
+0.0216543
+0.0227072
+0.0236869
+0.0245722
+0.0255599
+0.0266524
+0.0278532
+0.029138
+0.030457
+0.0318394
+0.0332982
+0.0348303
+0.0363017
+0.0378098
+0.0393763
+0.0409803
+0.0426296
+0.0508634
+0.049364
+0.0479134
+0.0464853
+0.0451184
+0.0438084
+0.042484
+0.0410733
+0.0396979
+0.0383366
+0.0370406
+0.0356547
+0.034348
+0.0331347
+0.0320094
+0.0309305
+0.0299654
+0.0290643
+0.0281873
+0.0272546
+0.0263375
+0.0252982
+0.0243585
+0.0234971
+0.0226732
+0.0219501
+0.021406
+0.0204814
+0.0195842
+0.0188063
+0.0181438
+0.0175566
+0.01714
+0.0169272
+0.0167809
+0.0168236
+0.0169103
+0.0171385
+0.0175947
+0.0178625
+0.0180745
+0.0180855
+0.0182686
+0.0185302
+0.0190418
+0.0195382
+0.0202244
+0.0209982
+0.0216463
+0.0221216
+0.0227984
+0.0236529
+0.0246563
+0.025807
+0.0270784
+0.028425
+0.0298129
+0.0311994
+0.032674
+0.0314069
+0.0296815
+0.0279861
+0.0262548
+0.0245969
+0.0230197
+0.0215367
+0.0201355
+0.0188713
+0.017743
+0.016809
+0.0160792
+0.0154959
+0.0151574
+0.0151137
+0.0153286
+0.0154404
+0.0156671
+0.0160444
+0.0165615
+0.0171837
+0.0180295
+0.0188366
+0.01961
+0.0205451
+0.0216252
+0.0223864
+0.0232523
+0.0242365
+0.0253473
+0.0265638
+0.0278504
+0.029196
+0.0306228
+0.0320875
+0.0335283
+0.0350141
+0.0365497
+0.0381254
+0.0397595
+0.0414449
+0.0494575
+0.0479227
+0.0464317
+0.0449979
+0.0435886
+0.0422416
+0.0409593
+0.0396841
+0.0382725
+0.0369072
+0.0355725
+0.0341991
+0.0328388
+0.0315676
+0.0304013
+0.0293268
+0.0283152
+0.0274415
+0.0266071
+0.0257346
+0.0247312
+0.0236894
+0.0227407
+0.0219176
+0.0211535
+0.0205005
+0.0198824
+0.019018
+0.0180559
+0.0173188
+0.0166143
+0.0160743
+0.0156578
+0.0154601
+0.0153701
+0.0154242
+0.0156499
+0.0159825
+0.0163736
+0.0164525
+0.0167695
+0.0173432
+0.0177756
+0.0179571
+0.0183285
+0.0187553
+0.0193989
+0.0201124
+0.0207076
+0.021204
+0.0219091
+0.0227887
+0.0238195
+0.02498
+0.0261441
+0.0274117
+0.0287472
+0.0301826
+0.0317046
+0.0302197
+0.0285804
+0.0269879
+0.0253404
+0.0237496
+0.0221209
+0.0205956
+0.0191673
+0.0178778
+0.0167432
+0.0157488
+0.0150074
+0.0145026
+0.0142521
+0.0142203
+0.0143057
+0.0142237
+0.0144427
+0.0148305
+0.0153299
+0.016
+0.0169105
+0.0177551
+0.0184117
+0.0192953
+0.0203454
+0.0210889
+0.0219345
+0.0229471
+0.0240855
+0.0253447
+0.0266243
+0.0279748
+0.0293621
+0.0307992
+0.0322335
+0.0337265
+0.0352924
+0.0369218
+0.0386006
+0.0402761
+0.0480577
+0.0465176
+0.045003
+0.0435223
+0.0421035
+0.0407216
+0.0393984
+0.038149
+0.0369032
+0.0355032
+0.0341678
+0.0327735
+0.031406
+0.0300786
+0.0288521
+0.0277392
+0.0267341
+0.025807
+0.0250362
+0.0242631
+0.0231862
+0.0220974
+0.021139
+0.0203233
+0.0196537
+0.0190078
+0.0183663
+0.0175634
+0.0166146
+0.0158238
+0.0151684
+0.0146521
+0.0142726
+0.0140641
+0.0140331
+0.0140986
+0.0143797
+0.0148973
+0.0151047
+0.0152014
+0.0155439
+0.0161662
+0.0166786
+0.0168807
+0.017286
+0.0177365
+0.0183939
+0.0191617
+0.0198948
+0.0203654
+0.0210493
+0.0218553
+0.0227757
+0.0238462
+0.025063
+0.0264057
+0.0278135
+0.0292948
+0.0308606
+0.0291106
+0.027405
+0.0257728
+0.0242209
+0.0227568
+0.0211973
+0.019758
+0.0183176
+0.0169821
+0.0158183
+0.014851
+0.0140765
+0.0135996
+0.0134169
+0.0131503
+0.0130348
+0.0130578
+0.0132861
+0.013695
+0.0141769
+0.0148989
+0.0158457
+0.0164216
+0.0171382
+0.0180425
+0.0191437
+0.0198264
+0.0207059
+0.0217406
+0.0229187
+0.0241233
+0.0253586
+0.0266996
+0.028085
+0.0294856
+0.0309561
+0.0325077
+0.0341241
+0.0357788
+0.0374473
+0.0391674
+0.046581
+0.0450982
+0.0435977
+0.0421089
+0.0406408
+0.0392401
+0.0378852
+0.0365905
+0.0353842
+0.0340953
+0.0327012
+0.0313676
+0.0299789
+0.0286547
+0.027379
+0.0262202
+0.0251741
+0.0242603
+0.0234403
+0.022752
+0.0216908
+0.0205664
+0.0195772
+0.0187419
+0.0180736
+0.0176019
+0.0169032
+0.0160311
+0.0151657
+0.0143974
+0.0137631
+0.0133077
+0.0129762
+0.0127589
+0.0127457
+0.0128196
+0.0131287
+0.0135872
+0.0139866
+0.0141519
+0.0145395
+0.0152029
+0.0155347
+0.0157825
+0.0162532
+0.016733
+0.0174762
+0.0182563
+0.0188906
+0.0193844
+0.0199686
+0.0207685
+0.0217479
+0.0228666
+0.0241328
+0.0255245
+0.0269557
+0.0284215
+0.029936
+0.0281286
+0.0263596
+0.0246583
+0.0230314
+0.0215036
+0.0200988
+0.0187317
+0.0173646
+0.016167
+0.0150865
+0.0140667
+0.0133057
+0.0127064
+0.0122011
+0.0119273
+0.0118929
+0.0117979
+0.0120149
+0.0125189
+0.0130792
+0.013858
+0.0146266
+0.0151184
+0.0158601
+0.0167749
+0.0178565
+0.0186812
+0.0195571
+0.0205599
+0.0216958
+0.0228483
+0.0241011
+0.0254288
+0.0267959
+0.0282352
+0.0297662
+0.0313607
+0.0330008
+0.0346646
+0.0363789
+0.0381294
+0.0451141
+0.0436313
+0.0421586
+0.0406965
+0.0392226
+0.0377934
+0.0364151
+0.0350855
+0.0338255
+0.0326525
+0.0312156
+0.0298491
+0.0285571
+0.0272396
+0.0259746
+0.0247597
+0.0236737
+0.022742
+0.0219211
+0.0211032
+0.0200349
+0.0190633
+0.0180935
+0.0172415
+0.0165674
+0.0160774
+0.0154326
+0.0145822
+0.0137055
+0.0129432
+0.01235
+0.0118883
+0.0116233
+0.0114181
+0.0114242
+0.0115923
+0.0119753
+0.0124174
+0.0130885
+0.013265
+0.0137511
+0.0142974
+0.01442
+0.0146887
+0.0151526
+0.0156661
+0.0164576
+0.0172431
+0.0179205
+0.0183938
+0.0190084
+0.019847
+0.0208382
+0.0220032
+0.0232985
+0.0245658
+0.0259404
+0.0274206
+0.0289874
+0.0272876
+0.0254602
+0.0236944
+0.0219963
+0.0203911
+0.0189038
+0.0175645
+0.0162434
+0.0150117
+0.0140162
+0.0130856
+0.0123477
+0.0115389
+0.0109717
+0.0107106
+0.0105482
+0.0105792
+0.0108116
+0.0113141
+0.011956
+0.0128236
+0.0134751
+0.0138589
+0.0145656
+0.0155038
+0.0166675
+0.0175042
+0.0183773
+0.0193403
+0.0204198
+0.0216121
+0.0228543
+0.0241903
+0.0255886
+0.0270915
+0.0286607
+0.030284
+0.031918
+0.0336154
+0.0353642
+0.0371467
+0.0436548
+0.0421549
+0.0406963
+0.0392434
+0.0378008
+0.0363415
+0.0349088
+0.0335546
+0.0322923
+0.0311234
+0.0297872
+0.0283745
+0.0270512
+0.0258126
+0.0245854
+0.0233806
+0.0222636
+0.0212453
+0.0203217
+0.0195029
+0.0183908
+0.017434
+0.0165721
+0.0158422
+0.015181
+0.0146974
+0.0139601
+0.0131146
+0.0123119
+0.011565
+0.0110075
+0.0105281
+0.0103335
+0.0101956
+0.0102844
+0.0104468
+0.0108545
+0.0113694
+0.0122324
+0.0125759
+0.0130791
+0.0132218
+0.0133114
+0.0136659
+0.0141153
+0.0146652
+0.0155078
+0.0162816
+0.0170437
+0.0173784
+0.0179756
+0.0188106
+0.0198533
+0.0210604
+0.0222888
+0.0236048
+0.0250322
+0.0265631
+0.0281776
+0.0264335
+0.0246415
+0.0229001
+0.0211383
+0.0194624
+0.0178982
+0.0163986
+0.0150465
+0.0138582
+0.012773
+0.0119937
+0.0112095
+0.0104392
+0.00984154
+0.00949234
+0.00927545
+0.00930135
+0.00957651
+0.0101801
+0.0108592
+0.0117225
+0.0122587
+0.0126793
+0.013431
+0.0144298
+0.0155783
+0.0163024
+0.0171079
+0.0180775
+0.0192038
+0.0204016
+0.0216856
+0.0230548
+0.0245102
+0.0260482
+0.0276058
+0.0292253
+0.0309141
+0.0326489
+0.0344076
+0.0361879
+0.0422553
+0.0407072
+0.0392171
+0.0377773
+0.0363558
+0.0348916
+0.033449
+0.0320617
+0.0307382
+0.0295181
+0.0283256
+0.0269735
+0.025593
+0.0243261
+0.0231574
+0.0219746
+0.0208075
+0.0197582
+0.0188339
+0.0179158
+0.0167899
+0.0158112
+0.0150086
+0.0142855
+0.0138198
+0.0134724
+0.0124614
+0.0116529
+0.0108826
+0.0101966
+0.00961462
+0.00920319
+0.00903646
+0.00894991
+0.00905772
+0.0093014
+0.00978883
+0.0104753
+0.0114154
+0.0117957
+0.0120403
+0.0120283
+0.0121828
+0.0125022
+0.0130751
+0.0137714
+0.0146775
+0.0153547
+0.0161047
+0.0164584
+0.0170879
+0.0179123
+0.0189064
+0.0200911
+0.0214065
+0.0227743
+0.0242601
+0.0258463
+0.0274746
+0.02573
+0.0238853
+0.0221039
+0.0204023
+0.0186835
+0.0169517
+0.0153376
+0.0138825
+0.0126414
+0.0116826
+0.0108805
+0.0101705
+0.0093024
+0.00861563
+0.00824136
+0.00809132
+0.00804898
+0.00847574
+0.00906242
+0.00978601
+0.0107406
+0.011301
+0.0117555
+0.0125177
+0.0135838
+0.0142454
+0.0149947
+0.0158681
+0.016872
+0.0180059
+0.0192335
+0.0205306
+0.0219601
+0.0234728
+0.0249931
+0.0265919
+0.0282287
+0.029927
+0.0316534
+0.0334241
+0.0352336
+0.0408474
+0.03932
+0.0377836
+0.036279
+0.0348429
+0.033449
+0.032018
+0.0305967
+0.0292656
+0.0279636
+0.0267078
+0.0255409
+0.024199
+0.0228929
+0.0216959
+0.0205968
+0.0194125
+0.0183265
+0.0173697
+0.0164174
+0.0152537
+0.014235
+0.0134099
+0.0128554
+0.0123577
+0.0120075
+0.0110158
+0.0102018
+0.00944162
+0.00875065
+0.00823441
+0.0078721
+0.00780105
+0.00767318
+0.00786996
+0.00827683
+0.00882002
+0.00960586
+0.0102882
+0.0108572
+0.010929
+0.0108477
+0.0110506
+0.011367
+0.0119713
+0.0127621
+0.0137577
+0.0145493
+0.0153035
+0.0156129
+0.0161611
+0.016976
+0.0180218
+0.019261
+0.0206588
+0.0221295
+0.0236466
+0.0251613
+0.0267677
+0.0249546
+0.0232068
+0.0214822
+0.0197271
+0.0180032
+0.0162135
+0.0145265
+0.0129808
+0.0116439
+0.0105952
+0.00992646
+0.00905774
+0.00825392
+0.00755143
+0.00714709
+0.00696944
+0.00699933
+0.0074169
+0.00799264
+0.00884529
+0.0098044
+0.0105711
+0.0110191
+0.0118173
+0.0124608
+0.0130109
+0.0138041
+0.0146554
+0.0156815
+0.0168335
+0.0180709
+0.0194345
+0.020889
+0.022352
+0.0239049
+0.0255378
+0.0272035
+0.0289135
+0.0306846
+0.0324836
+0.0342816
+0.0393657
+0.0379031
+0.036384
+0.034832
+0.0333338
+0.0319148
+0.0305746
+0.0291612
+0.0277664
+0.0264797
+0.0251682
+0.023958
+0.0227614
+0.0215071
+0.0203069
+0.0191988
+0.0181049
+0.0169643
+0.0159354
+0.0148085
+0.0137555
+0.01271
+0.0119066
+0.0113359
+0.0110831
+0.0105396
+0.00959912
+0.0087542
+0.00799921
+0.0073417
+0.00683295
+0.00663804
+0.00667026
+0.00648496
+0.00672486
+0.00726778
+0.00795162
+0.00895767
+0.00920778
+0.009802
+0.00971378
+0.00969014
+0.00995177
+0.0102239
+0.0108724
+0.0117685
+0.0129133
+0.0136508
+0.0144981
+0.014829
+0.0154306
+0.0162824
+0.0173701
+0.0186526
+0.0200927
+0.02157
+0.0230332
+0.0245857
+0.0261377
+0.0243359
+0.0225345
+0.0207881
+0.0191334
+0.0173623
+0.015662
+0.0139777
+0.0123636
+0.0109516
+0.00982938
+0.00884471
+0.00782291
+0.00706602
+0.00645536
+0.00606127
+0.00575142
+0.00573769
+0.00623619
+0.00694333
+0.00781992
+0.00877643
+0.00984414
+0.010482
+0.0111022
+0.0113509
+0.0118639
+0.0126469
+0.0135309
+0.0145353
+0.0157495
+0.0170121
+0.0183506
+0.0197562
+0.0212406
+0.0228283
+0.0245092
+0.0261955
+0.027948
+0.0297332
+0.0315323
+0.0333643
+0.0379256
+0.0364531
+0.0349853
+0.0334278
+0.0319037
+0.030419
+0.0290216
+0.0277146
+0.026316
+0.0249545
+0.0237055
+0.0224396
+0.021284
+0.0200713
+0.0189398
+0.0178637
+0.016832
+0.015584
+0.0145391
+0.0133125
+0.0121537
+0.0111967
+0.010379
+0.00991985
+0.00972982
+0.00910149
+0.00826476
+0.00729789
+0.00663758
+0.00611499
+0.00565444
+0.00539927
+0.00543416
+0.0053686
+0.0057216
+0.00646205
+0.00725746
+0.00806477
+0.00833401
+0.00863771
+0.00855824
+0.00857884
+0.00890736
+0.00929066
+0.00999855
+0.0109336
+0.0118135
+0.0125321
+0.013336
+0.0142744
+0.0149321
+0.0158272
+0.0169441
+0.0182566
+0.0197257
+0.0211241
+0.0226
+0.0240309
+0.0239539
+0.0236885
+0.0218816
+0.0201105
+0.0182939
+0.0164979
+0.0147545
+0.0130823
+0.0115256
+0.00999595
+0.00865757
+0.00750733
+0.00656408
+0.00567363
+0.00513084
+0.00474665
+0.00453759
+0.0044808
+0.00495612
+0.00583485
+0.006759
+0.00774558
+0.00887546
+0.00938477
+0.00989297
+0.0101758
+0.010723
+0.0114561
+0.0123204
+0.0133539
+0.0145138
+0.0158589
+0.0172045
+0.0186722
+0.0201998
+0.0217783
+0.0234447
+0.0251863
+0.0269824
+0.028728
+0.0305135
+0.0323474
+0.0364762
+0.0349791
+0.0335365
+0.0320057
+0.0304593
+0.0289827
+0.0275443
+0.0261753
+0.024905
+0.0235347
+0.0222188
+0.0209931
+0.0197934
+0.0186429
+0.0175108
+0.0165333
+0.0156122
+0.0143843
+0.01327
+0.0118806
+0.0107026
+0.00964509
+0.00891374
+0.00846051
+0.00841118
+0.00778733
+0.00685619
+0.00588983
+0.00530526
+0.00479789
+0.00446552
+0.00438203
+0.00434228
+0.00434027
+0.00487212
+0.00572693
+0.00670006
+0.00696714
+0.00734799
+0.00756976
+0.00757898
+0.00765318
+0.00801568
+0.00860977
+0.00922461
+0.00991542
+0.0107906
+0.0114206
+0.0122557
+0.0132338
+0.0142173
+0.0153959
+0.0167649
+0.0180502
+0.0193918
+0.0206811
+0.0220452
+0.0220791
+0.0217716
+0.0216821
+0.0208106
+0.0190041
+0.0172662
+0.0154603
+0.0137274
+0.0120289
+0.0104691
+0.00887451
+0.00746464
+0.00622869
+0.00516314
+0.00427731
+0.00374304
+0.00328856
+0.00333429
+0.00339524
+0.00389554
+0.00468816
+0.00564117
+0.00670736
+0.00765778
+0.00825617
+0.00880029
+0.00911032
+0.00955022
+0.0101931
+0.011104
+0.0121955
+0.0134279
+0.0147818
+0.0161072
+0.01756
+0.0191215
+0.0207411
+0.0224192
+0.0241778
+0.0259115
+0.0277053
+0.0295507
+0.0313707
+0.0350506
+0.0335065
+0.0320225
+0.0305731
+0.0290396
+0.0275192
+0.0260603
+0.0246914
+0.0233756
+0.0220867
+0.0208056
+0.0195914
+0.0184029
+0.0172979
+0.0161648
+0.0151521
+0.0143149
+0.0132384
+0.0120861
+0.0105352
+0.00924551
+0.00822849
+0.00745241
+0.00710751
+0.00721824
+0.00642048
+0.00549837
+0.00451239
+0.00398801
+0.00353632
+0.00336168
+0.00323418
+0.00325047
+0.00350967
+0.00407662
+0.0049566
+0.00583151
+0.00596144
+0.00645781
+0.00662279
+0.00657962
+0.00668653
+0.00712649
+0.00778664
+0.00846359
+0.00902129
+0.00977001
+0.0104045
+0.0112652
+0.0123129
+0.0133652
+0.0145966
+0.0159334
+0.0173314
+0.0188726
+0.0201025
+0.0205032
+0.0199323
+0.0195911
+0.0194917
+0.0196376
+0.0179189
+0.0161053
+0.0143723
+0.0126315
+0.0109651
+0.00938028
+0.00786063
+0.00646906
+0.00508088
+0.00382758
+0.00297946
+0.00243907
+0.00195576
+0.0020655
+0.00226388
+0.00278823
+0.00362625
+0.00461299
+0.00571407
+0.0066744
+0.00725962
+0.00773643
+0.00790934
+0.00838385
+0.00898732
+0.00994318
+0.011045
+0.0123834
+0.0136206
+0.0149948
+0.0164792
+0.0180228
+0.0196889
+0.0214413
+0.0231671
+0.0249651
+0.0267966
+0.0285973
+0.0304434
+0.0337072
+0.0320986
+0.0305624
+0.0290874
+0.0276242
+0.0260939
+0.0245985
+0.0231836
+0.02185
+0.0205567
+0.019328
+0.0181476
+0.0170145
+0.0159009
+0.0148382
+0.0138677
+0.0129757
+0.0120403
+0.0110223
+0.00941257
+0.00794797
+0.00681906
+0.00606505
+0.00582237
+0.00588318
+0.00502561
+0.00407537
+0.00323855
+0.00269466
+0.00230136
+0.0022427
+0.00230516
+0.00220856
+0.00267894
+0.00341557
+0.00432495
+0.0044411
+0.00469978
+0.00556221
+0.00552786
+0.00552659
+0.005874
+0.00602013
+0.00677253
+0.00762821
+0.00827056
+0.00893224
+0.00950486
+0.0103976
+0.0115437
+0.0126932
+0.013903
+0.0151828
+0.0166348
+0.0181787
+0.0192443
+0.018426
+0.0177962
+0.0174132
+0.0173012
+0.0174655
+0.0169484
+0.0151088
+0.0132735
+0.0114946
+0.00974995
+0.00812304
+0.00665169
+0.00523209
+0.00384869
+0.00257896
+0.00173969
+0.00104486
+0.000750649
+0.000743147
+0.00109999
+0.00174084
+0.00261957
+0.00370773
+0.004915
+0.00548868
+0.00620545
+0.00681036
+0.00694244
+0.00723961
+0.00786698
+0.00883472
+0.00996289
+0.0112598
+0.0125103
+0.0139565
+0.0154481
+0.0170603
+0.0187886
+0.0204994
+0.0222798
+0.0240499
+0.0258207
+0.0276516
+0.0295311
+0.0324313
+0.0307685
+0.0291643
+0.0276407
+0.0261633
+0.0246922
+0.0231754
+0.0217239
+0.0203293
+0.0190359
+0.0178132
+0.0166815
+0.0156095
+0.0144484
+0.0134246
+0.0125961
+0.0117164
+0.0108043
+0.00982221
+0.00861773
+0.00697507
+0.00563719
+0.00484309
+0.00467235
+0.00444104
+0.00360243
+0.0026602
+0.001926
+0.00143908
+0.000967813
+0.0010913
+0.00150802
+0.00124285
+0.00190108
+0.0027637
+0.00355498
+0.00323754
+0.00367374
+0.004545
+0.00436004
+0.0044385
+0.00488423
+0.00518634
+0.00601322
+0.006814
+0.00729855
+0.0079558
+0.00867848
+0.00962497
+0.0108129
+0.0119955
+0.0132156
+0.0145346
+0.0159811
+0.0174821
+0.0172838
+0.0163677
+0.0156752
+0.015239
+0.0151109
+0.0152987
+0.0157911
+0.0141245
+0.0122876
+0.0105031
+0.00870848
+0.00702902
+0.00545756
+0.00393136
+0.00270065
+0.00138863
+0.000542388
+-0.000298556
+-0.000487709
+-0.000519996
+-0.000249693
+0.000727515
+0.00166186
+0.00280925
+0.00397963
+0.00436515
+0.00509628
+0.00574028
+0.00587277
+0.00624454
+0.00686209
+0.00781648
+0.00893562
+0.0101089
+0.0115299
+0.0129913
+0.0145249
+0.0161397
+0.0178697
+0.0196036
+0.0213089
+0.023072
+0.0248903
+0.0267618
+0.0286664
+0.0312163
+0.0295324
+0.0278627
+0.0262637
+0.0247555
+0.0232842
+0.0218062
+0.0203101
+0.0188847
+0.0175295
+0.0163104
+0.0151722
+0.0140878
+0.0130374
+0.0119933
+0.0111102
+0.0103898
+0.00950664
+0.0085307
+0.00748214
+0.00618977
+0.00491046
+0.00407416
+0.00390956
+0.00307172
+0.00229103
+0.00141001
+0.000716712
+0.000179241
+-0.000278992
+0.000345117
+0.000407512
+0.000441682
+0.00133125
+0.00227873
+0.00223937
+0.00205415
+0.00257932
+0.00338835
+0.0032722
+0.00342917
+0.00392415
+0.00435275
+0.00513891
+0.00606183
+0.00648034
+0.00706737
+0.00806359
+0.00894075
+0.00997938
+0.0111551
+0.0123497
+0.0137517
+0.0151353
+0.0166474
+0.0153854
+0.0143486
+0.0135763
+0.0130702
+0.0129207
+0.0131398
+0.01371
+0.0131878
+0.0113855
+0.00949453
+0.00775119
+0.00607478
+0.00442458
+0.00282856
+0.00151963
+0.000197805
+-0.00077862
+-0.000563657
+-0.000292616
+-0.000386443
+-0.000620464
+-0.000261475
+0.000583021
+0.00179944
+0.00292801
+0.00299602
+0.00382151
+0.00467161
+0.00481176
+0.00513939
+0.0057997
+0.00677915
+0.00782391
+0.00912683
+0.0105865
+0.0120139
+0.013535
+0.0151847
+0.0168934
+0.0186266
+0.0203707
+0.0221874
+0.0240551
+0.0259549
+0.0278857
+0.0300895
+0.0283759
+0.026668
+0.0250032
+0.0234138
+0.0219284
+0.0204295
+0.0189226
+0.0175243
+0.0161162
+0.014832
+0.0137129
+0.0125375
+0.0115603
+0.01053
+0.00965958
+0.00888196
+0.00801615
+0.00712943
+0.00602592
+0.00480133
+0.00398138
+0.00363994
+0.00265526
+0.00181017
+0.00110417
+0.00034807
+-0.000304902
+-0.000854813
+-0.00108506
+9.61422e-05
+-0.000403148
+-0.000261191
+0.00062575
+0.00171291
+0.00153159
+0.00136154
+0.0021003
+0.00232483
+0.00224577
+0.00227285
+0.00288429
+0.00346917
+0.00428694
+0.00518084
+0.00564771
+0.00626855
+0.00725385
+0.00820221
+0.00923728
+0.0104077
+0.011664
+0.0130107
+0.0144534
+0.0149906
+0.0135754
+0.012388
+0.0114993
+0.0109102
+0.0107306
+0.0109935
+0.0116691
+0.0124084
+0.010545
+0.00874193
+0.00682525
+0.00511661
+0.00344153
+0.0019168
+0.000408544
+-0.000936185
+-0.00020581
+0.000652321
+0.00105525
+0.000983717
+0.000653967
+-3.14796e-05
+-0.000442611
+0.000775266
+0.0016677
+0.00171089
+0.0027334
+0.00366784
+0.00374783
+0.00410015
+0.00471246
+0.00583375
+0.00685922
+0.00818634
+0.00951987
+0.0109876
+0.0125255
+0.0142058
+0.0159368
+0.0176955
+0.0195
+0.0213569
+0.0232645
+0.0251416
+0.0270367
+0.0290592
+0.0273035
+0.0255583
+0.023862
+0.022204
+0.0206356
+0.0191346
+0.0175603
+0.0160833
+0.0147521
+0.013484
+0.0123166
+0.0111217
+0.0100448
+0.0090595
+0.00818674
+0.00739132
+0.00649992
+0.00574908
+0.00460462
+0.00336233
+0.00268187
+0.00243973
+0.00129744
+0.000648424
+-6.55537e-05
+-0.000713971
+-0.00136009
+-0.000743461
+-0.000107452
+-0.000390426
+-0.000604231
+-0.000866532
+8.73217e-05
+0.00126226
+0.000949422
+0.000910089
+0.0014213
+0.00122404
+0.00113661
+0.00132147
+0.00180383
+0.00238445
+0.00338977
+0.00419282
+0.0048283
+0.005575
+0.006577
+0.00750934
+0.00866552
+0.00994588
+0.0110526
+0.0123251
+0.0136816
+0.0134869
+0.0118941
+0.0105186
+0.00945578
+0.00876549
+0.0085409
+0.00886894
+0.00968281
+0.0108334
+0.0097811
+0.00787141
+0.00600323
+0.00417184
+0.00248951
+0.00090929
+-0.00064398
+-0.000461175
+0.000897352
+0.00185735
+0.00230914
+0.00219703
+0.00180867
+0.00102625
+-0.000128555
+-0.000231766
+0.00045042
+0.000399632
+0.00157089
+0.00273291
+0.00278602
+0.00301623
+0.00367848
+0.00490943
+0.00589181
+0.00700662
+0.00829649
+0.00977785
+0.0114332
+0.0131856
+0.014925
+0.0166666
+0.0185039
+0.020365
+0.0222356
+0.0241563
+0.0261133
+0.0281226
+0.0263168
+0.0245609
+0.0228136
+0.0211345
+0.0194943
+0.0179539
+0.0163181
+0.0147802
+0.0133594
+0.0121203
+0.0110276
+0.00969315
+0.00858406
+0.00757742
+0.00673412
+0.00593673
+0.00513815
+0.00439257
+0.00320631
+0.00200503
+0.00154909
+0.0011164
+-7.48619e-06
+-0.000540565
+-0.000776378
+-0.000462709
+-3.98939e-05
+0.000716355
+0.00144863
+0.000537564
+0.000296418
+-0.000439071
+-0.000373561
+0.000493492
+-5.18584e-05
+0.000336557
+0.000484011
+0.000122989
+1.70966e-05
+0.000296763
+0.000723687
+0.00139774
+0.00231904
+0.00318592
+0.00391992
+0.00470661
+0.00562784
+0.0067205
+0.00799359
+0.00909347
+0.010217
+0.0115966
+0.0129214
+0.0121932
+0.0104042
+0.00879879
+0.00749591
+0.00665078
+0.00635184
+0.00678654
+0.00778062
+0.00917304
+0.00936184
+0.00742169
+0.00544786
+0.00352645
+0.00175777
+-9.47204e-05
+-0.000843972
+0.000689224
+0.00204568
+0.00305899
+0.00361433
+0.00337544
+0.00287016
+0.00198841
+0.000709616
+-0.00119421
+-0.000361989
+-0.000335807
+0.00101876
+0.00172886
+0.00172959
+0.00193659
+0.00288575
+0.00416134
+0.00473472
+0.00578598
+0.00717582
+0.00870922
+0.0103606
+0.0120047
+0.0137672
+0.0156001
+0.0174734
+0.0193629
+0.0212557
+0.0231778
+0.0251433
+0.0271806
+0.0254666
+0.0236551
+0.0218895
+0.0201471
+0.0184594
+0.0168765
+0.0152774
+0.0136224
+0.0121384
+0.0108194
+0.00976598
+0.00829223
+0.00710801
+0.00613905
+0.0053016
+0.00455442
+0.00383095
+0.00314361
+0.00200374
+0.000626369
+0.000498871
+-9.39914e-05
+-0.000754362
+3.7022e-05
+0.000588433
+0.000898312
+0.00140057
+0.00229111
+0.0026042
+0.00157429
+0.00104627
+0.00019517
+-0.000578152
+-0.00045915
+-0.000877576
+-0.000150176
+-0.000426265
+-0.000793644
+-0.000931786
+-0.000846266
+-0.000247793
+0.000583219
+0.00139733
+0.00217517
+0.00292302
+0.00361467
+0.00468559
+0.0058547
+0.00721827
+0.00838622
+0.00962429
+0.0109285
+0.0123449
+0.011143
+0.00919839
+0.00733443
+0.00570648
+0.00457515
+0.00416452
+0.00478637
+0.00607599
+0.00773676
+0.00918387
+0.00713679
+0.00516385
+0.00316389
+0.00126012
+-0.000632781
+0.000387409
+0.00177962
+0.00315213
+0.00422485
+0.00485041
+0.00441097
+0.00385912
+0.00241598
+0.000294741
+-0.00107651
+-0.00114723
+-0.000739536
+0.000899835
+0.00074358
+0.000709366
+0.00100248
+0.00225296
+0.00313537
+0.00365848
+0.00458915
+0.00596176
+0.00761909
+0.00917744
+0.0108908
+0.0127028
+0.0145475
+0.0164176
+0.0183227
+0.0202855
+0.0222908
+0.0243281
+0.0260132
+0.0244971
+0.0228181
+0.0210983
+0.0193118
+0.0176056
+0.0159382
+0.0143666
+0.012723
+0.0111381
+0.00976855
+0.00864334
+0.00719023
+0.0058786
+0.00477351
+0.00395053
+0.00317436
+0.00255536
+0.00185671
+0.000765044
+-0.000600086
+-0.000313369
+-0.000730712
+0.00052363
+0.00132439
+0.00187045
+0.00231288
+0.00302296
+0.00392578
+0.0039441
+0.00296883
+0.00177484
+0.00069886
+-0.000174986
+-0.00145348
+-0.00166312
+-0.000948415
+-0.000404664
+0.000272133
+0.000222505
+-0.00023162
+-0.000992338
+-0.000257114
+0.000465631
+0.00118063
+0.00184036
+0.00269148
+0.0038546
+0.00523685
+0.00655178
+0.00778106
+0.009175
+0.0105437
+0.0119058
+0.0104061
+0.00829872
+0.00624885
+0.00430549
+0.00262782
+0.00198465
+0.00298113
+0.0046829
+0.00657482
+0.00809012
+0.00721405
+0.00517836
+0.00317823
+0.00133325
+0.000450751
+0.00168264
+0.00296816
+0.00423753
+0.00533627
+0.00596837
+0.00555311
+0.00490194
+0.00293198
+0.000769026
+-0.000569393
+-0.00215294
+-0.00143678
+6.4588e-06
+-0.0001604
+-0.000275589
+0.000136546
+0.001389
+0.00202685
+0.00238282
+0.00331711
+0.00477375
+0.00635349
+0.00804639
+0.00981373
+0.0116291
+0.0134989
+0.0154533
+0.0174639
+0.0194859
+0.0215221
+0.023586
+0.0246191
+0.02322
+0.0219075
+0.0202243
+0.0185495
+0.0168962
+0.0152077
+0.0136005
+0.0120604
+0.0104392
+0.00896285
+0.00782853
+0.00654735
+0.00510887
+0.00380541
+0.00276528
+0.00184403
+0.00120702
+0.000657689
+-0.000486599
+-0.0015657
+-0.00104069
+0.000473114
+0.00164959
+0.00265389
+0.00329273
+0.00387051
+0.00468331
+0.00561226
+0.00544376
+0.0037887
+0.00221135
+0.00111243
+-0.000174039
+-0.00218708
+-0.0012834
+-0.000351278
+0.000517071
+0.00115113
+0.00116863
+0.000529033
+-0.000159727
+-0.000935331
+-0.00053433
+3.67416e-05
+0.000869807
+0.00195403
+0.00318892
+0.00461639
+0.00608392
+0.00743336
+0.00881941
+0.0102174
+0.0104111
+0.00914171
+0.00785208
+0.00567666
+0.00352
+0.00138436
+-6.51697e-05
+0.0016864
+0.00364106
+0.00508867
+0.00632932
+0.00773279
+0.00583697
+0.00411827
+0.00292468
+0.00261906
+0.00323134
+0.00414891
+0.00530931
+0.00628104
+0.00682005
+0.0067557
+0.00479105
+0.00266388
+0.00059641
+-0.00125248
+-0.00228916
+-0.00203676
+-0.00042936
+-0.000384558
+-0.000619958
+-0.000875734
+0.000467357
+0.0009881
+0.00104873
+0.00209919
+0.00356076
+0.00513434
+0.00691653
+0.00875863
+0.0106818
+0.0126527
+0.0146559
+0.0167062
+0.0187883
+0.0208925
+0.0229863
+0.0232557
+0.0218295
+0.0204958
+0.0192559
+0.017772
+0.0161402
+0.0146461
+0.0130811
+0.0115449
+0.0100584
+0.00862352
+0.00743763
+0.00651682
+0.00502631
+0.00354049
+0.00205372
+0.00074681
+3.06416e-05
+-0.000573675
+-0.00143077
+-0.00181417
+8.62413e-05
+0.00157746
+0.00273386
+0.00370306
+0.00490991
+0.00560046
+0.00644216
+0.00737551
+0.00618936
+0.00433511
+0.00279792
+0.00131495
+-0.000682126
+-0.002201
+-0.00037615
+0.000535137
+0.00146238
+0.00197439
+0.00193409
+0.00130676
+0.000578676
+0.000103639
+-0.000286241
+-0.00031479
+0.00055234
+0.00161954
+0.00284111
+0.00431319
+0.00581763
+0.00731954
+0.00872782
+0.00988318
+0.00863201
+0.00757409
+0.00622884
+0.00480002
+0.00297893
+0.000983996
+-0.000632425
+0.000763143
+0.00211321
+0.00330919
+0.00463648
+0.00639009
+0.00709815
+0.00576817
+0.00498653
+0.00478994
+0.00520322
+0.00579063
+0.00668963
+0.0073499
+0.00776314
+0.00680292
+0.00472519
+0.00268999
+0.000769419
+-0.000811761
+-0.00165909
+-0.00164809
+0.000268885
+0.000469418
+0.000351407
+0.000160642
+-7.15463e-05
+0.00127495
+-0.000184525
+0.000758149
+0.0023088
+0.00397883
+0.00592044
+0.00789759
+0.00989343
+0.0119577
+0.0140532
+0.0161539
+0.0181955
+0.0202642
+0.0223474
+0.0220218
+0.0205123
+0.0191166
+0.0178767
+0.0167066
+0.0155296
+0.0139952
+0.0125942
+0.0113658
+0.00998638
+0.00863746
+0.00755767
+0.00690434
+0.00551022
+0.00416682
+0.00272956
+0.00115043
+-0.000374764
+-0.000255327
+-0.00154691
+-0.000845983
+0.00100273
+0.00281899
+0.00390068
+0.00484585
+0.00613854
+0.00740555
+0.00827393
+0.00884064
+0.00691542
+0.0048968
+0.00272291
+0.000584709
+-0.00134683
+-0.00156954
+0.000291458
+0.00154128
+0.00247607
+0.00290094
+0.00294724
+0.00246817
+0.00203905
+0.00186653
+0.00168935
+0.0017421
+0.00205513
+0.0026593
+0.00357052
+0.00485729
+0.00626691
+0.00768588
+0.00906682
+0.00832675
+0.0069694
+0.00575795
+0.00473636
+0.00316172
+0.00177353
+0.00011583
+-0.00095995
+-8.92058e-05
+0.000385286
+0.0015474
+0.00340626
+0.00546333
+0.00753631
+0.00769297
+0.00712569
+0.00697321
+0.00727942
+0.00769488
+0.00836131
+0.00880739
+0.00894112
+0.00692481
+0.00490913
+0.00299682
+0.0012605
+-0.000117143
+-0.00108533
+-0.00123217
+0.000600933
+0.00128147
+0.00124827
+0.00141077
+0.00149171
+0.00258041
+0.000734625
+-0.000607752
+0.00122833
+0.00321964
+0.00533969
+0.00735864
+0.00942546
+0.0114265
+0.0134664
+0.0155368
+0.0176342
+0.0197518
+0.0218819
+0.0208852
+0.0193539
+0.017868
+0.0165396
+0.0153904
+0.0142811
+0.0134018
+0.012202
+0.0109905
+0.0100992
+0.00912448
+0.00812816
+0.00756226
+0.00663268
+0.00544251
+0.00410325
+0.00230005
+0.000796259
+-0.000230308
+-0.00103383
+0.000409928
+0.00219871
+0.00394233
+0.0051524
+0.00629376
+0.00745427
+0.0089105
+0.0101417
+0.00902873
+0.00684719
+0.00467421
+0.00253194
+0.000527074
+-0.00112357
+-0.000676287
+0.00100881
+0.00252153
+0.00356206
+0.00395933
+0.00451209
+0.00420618
+0.00398912
+0.00398335
+0.00386947
+0.0039266
+0.00412173
+0.00450593
+0.0051031
+0.00606813
+0.00724911
+0.00861209
+0.00807402
+0.00673574
+0.00540858
+0.0040329
+0.00279259
+0.00209375
+0.000295892
+-0.000694354
+-0.00193264
+-0.00113041
+-0.000649168
+0.000966458
+0.00310876
+0.00454773
+0.00605655
+0.00748898
+0.0091396
+0.00916002
+0.00938476
+0.00968988
+0.0101901
+0.0104769
+0.00916681
+0.00717883
+0.00528649
+0.00350045
+0.00195669
+0.000891918
+-0.000129021
+-0.000605588
+0.00106258
+0.00188709
+0.00208719
+0.00269446
+0.00320081
+0.0037923
+0.00189966
+-4.98516e-05
+0.000798629
+0.00274227
+0.00475264
+0.00676831
+0.00884823
+0.0108915
+0.012983
+0.0151027
+0.0172401
+0.0193894
+0.0214998
+0.0198927
+0.0182967
+0.0168133
+0.0153941
+0.0141727
+0.0130971
+0.0121645
+0.0114982
+0.0109265
+0.0100479
+0.00953692
+0.00914443
+0.00869563
+0.00817433
+0.0066739
+0.00471058
+0.00269391
+0.000806849
+-9.53632e-05
+1.41108e-05
+0.00160865
+0.00342798
+0.00524739
+0.0066092
+0.00771482
+0.00897345
+0.0102775
+0.0113017
+0.00916658
+0.00706558
+0.00498085
+0.00291502
+0.0010331
+-0.000489347
+0.000156467
+0.00171009
+0.00360371
+0.00483215
+0.00547516
+0.00628112
+0.00621818
+0.00607304
+0.00614488
+0.00605636
+0.00611553
+0.00626153
+0.00656759
+0.00699063
+0.00771568
+0.00868198
+0.0076997
+0.00647264
+0.00527832
+0.00390309
+0.00246411
+0.000979555
+0.000317199
+-0.000256488
+-0.00220215
+-0.00345443
+-0.00272755
+-0.000807078
+0.00047809
+0.00161739
+0.00296406
+0.00447016
+0.00617005
+0.00808988
+0.0100984
+0.0115162
+0.0117532
+0.0121279
+0.0115471
+0.00957422
+0.00763989
+0.00582093
+0.00415095
+0.00273765
+0.00171879
+0.00039764
+-3.03548e-05
+0.00128618
+0.00263485
+0.00309847
+0.00425597
+0.00520123
+0.00428863
+0.00223809
+0.000460491
+0.000484729
+0.00237704
+0.00435782
+0.00642419
+0.00852572
+0.0106209
+0.0127094
+0.0147939
+0.016897
+0.0190051
+0.021003
+0.0189609
+0.0173309
+0.0157723
+0.0143796
+0.0131858
+0.012023
+0.0111077
+0.0104249
+0.0100043
+0.00986262
+0.00990912
+0.00982196
+0.0101301
+0.00844044
+0.00667544
+0.00487229
+0.00311934
+0.00150783
+0.000980458
+0.00144725
+0.00272586
+0.00451488
+0.00645447
+0.00812731
+0.00930462
+0.0105454
+0.0118418
+0.0117391
+0.00966758
+0.00760023
+0.00552828
+0.00350154
+0.00172761
+0.000865316
+0.00121209
+0.00266581
+0.00441538
+0.00605739
+0.0072734
+0.00798178
+0.00831922
+0.00821201
+0.00831886
+0.00824453
+0.00830539
+0.00842752
+0.00868297
+0.00901297
+0.00917119
+0.00765469
+0.00621282
+0.0048921
+0.00372572
+0.00259288
+0.00095153
+-0.000271957
+-0.00173501
+-0.0022142
+-0.00330524
+-0.00505247
+-0.00390378
+-0.0025212
+-0.00135336
+-9.3655e-05
+0.00160118
+0.00330233
+0.00531423
+0.00733262
+0.00931447
+0.0113119
+0.0125612
+0.0136574
+0.0120721
+0.0101488
+0.00830975
+0.00653794
+0.00493164
+0.00358672
+0.00240562
+0.000984399
+0.000623916
+0.00163521
+0.00335395
+0.00450612
+0.00563126
+0.00667698
+0.00460786
+0.00268905
+0.00113768
+0.000485177
+0.00214996
+0.004119
+0.00619354
+0.00826103
+0.0103096
+0.0123547
+0.0143482
+0.0163921
+0.0184643
+0.0202862
+0.017874
+0.0162987
+0.01483
+0.0134779
+0.0122088
+0.0110754
+0.0101848
+0.0095289
+0.00914779
+0.00917831
+0.00959615
+0.0102897
+0.00958867
+0.00778285
+0.00618506
+0.00484903
+0.00373923
+0.00308787
+0.00263421
+0.00306398
+0.00418056
+0.00567835
+0.0074659
+0.00934205
+0.0109501
+0.0121518
+0.0134768
+0.0117006
+0.00968036
+0.00773719
+0.00572824
+0.00380975
+0.00230738
+0.00184228
+0.00230527
+0.00363485
+0.00539344
+0.00719558
+0.00881437
+0.00983975
+0.0104461
+0.010372
+0.0104998
+0.0104332
+0.0104956
+0.0106037
+0.0108092
+0.00931626
+0.00757941
+0.00614007
+0.00480062
+0.0034189
+0.00220986
+0.00103588
+-0.000350068
+-0.00136944
+-0.00295434
+-0.00419246
+-0.00505156
+-0.00637672
+-0.00556953
+-0.00428701
+-0.00301204
+-0.00114095
+0.000739435
+0.00283237
+0.00470119
+0.0067546
+0.00868898
+0.00978397
+0.0110939
+0.0120523
+0.0127985
+0.0109266
+0.00911476
+0.00742204
+0.00582562
+0.00440217
+0.00277252
+0.00155292
+0.00154892
+0.00249846
+0.00393601
+0.00583589
+0.00717797
+0.00715814
+0.00525713
+0.00351382
+0.00202986
+0.00118953
+0.00214208
+0.00394384
+0.00592188
+0.00792152
+0.00982745
+0.011832
+0.0138716
+0.0159491
+0.0177265
+0.0194964
+0.0168201
+0.0152071
+0.0137184
+0.012376
+0.011182
+0.0102176
+0.00947719
+0.00891543
+0.00859168
+0.00863477
+0.00913757
+0.00998592
+0.00932835
+0.00747989
+0.00584341
+0.0046459
+0.0040834
+0.00411732
+0.0046264
+0.00493152
+0.00587909
+0.00720512
+0.00872799
+0.0104594
+0.0123208
+0.0138239
+0.0135296
+0.0114504
+0.00940639
+0.00740293
+0.00553394
+0.00381501
+0.00264177
+0.00243711
+0.00309495
+0.00453661
+0.00627534
+0.0082176
+0.0100624
+0.0117119
+0.0125943
+0.0125422
+0.0126841
+0.0126221
+0.012686
+0.0116363
+0.00992573
+0.00811617
+0.00635472
+0.00454262
+0.00322305
+0.00182759
+0.00075508
+-0.00025631
+-0.00153854
+-0.00277286
+-0.00419339
+-0.00567372
+-0.00701486
+-0.00803278
+-0.00717711
+-0.00505448
+-0.00301632
+-0.00108283
+0.000650265
+0.00232025
+0.00437238
+0.00600514
+0.00722789
+0.00830029
+0.00928394
+0.0103316
+0.0113682
+0.0118317
+0.010027
+0.00827826
+0.0065285
+0.00504884
+0.0036075
+0.00270071
+0.00287241
+0.00365914
+0.00496281
+0.00665374
+0.00849541
+0.00773506
+0.00583149
+0.00417502
+0.00277825
+0.00156517
+0.00201496
+0.0036624
+0.00556472
+0.0074571
+0.00942505
+0.0114716
+0.013511
+0.0152792
+0.0170216
+0.0188578
+0.0158806
+0.0142177
+0.0127005
+0.0113386
+0.0101666
+0.00918005
+0.00854503
+0.0082519
+0.00826195
+0.00839664
+0.00895731
+0.00980759
+0.00949904
+0.00767336
+0.00608846
+0.00494874
+0.00447411
+0.00489141
+0.00587467
+0.00695789
+0.00769612
+0.00883537
+0.0102562
+0.011794
+0.0134835
+0.0153005
+0.0132992
+0.0111871
+0.00908936
+0.00704142
+0.00510474
+0.00338718
+0.00234097
+0.00243608
+0.00353372
+0.00517118
+0.00706119
+0.00891535
+0.0108518
+0.0128491
+0.0145484
+0.0147181
+0.0148703
+0.0146214
+0.0125581
+0.0105464
+0.00862223
+0.00685989
+0.00507724
+0.00341639
+0.00167539
+0.000440213
+-0.000971782
+-0.00197054
+-0.00314926
+-0.00427157
+-0.00530199
+-0.00653769
+-0.00811141
+-0.00952589
+-0.00742843
+-0.00529156
+-0.00319433
+-0.00120088
+0.00041081
+0.00190596
+0.00356355
+0.0046555
+0.00570056
+0.00655155
+0.0075711
+0.00856065
+0.00978666
+0.0111203
+0.0108179
+0.00897994
+0.00729999
+0.00587085
+0.00482202
+0.0039932
+0.00409167
+0.00504417
+0.00626011
+0.00768951
+0.00934492
+0.00846599
+0.00667062
+0.00504953
+0.00345273
+0.00211617
+0.00206457
+0.00349719
+0.00525354
+0.00711267
+0.00910839
+0.0111045
+0.01285
+0.0144588
+0.0161293
+0.0179123
+0.0150257
+0.0133305
+0.0117439
+0.0103403
+0.00912952
+0.00821543
+0.00767425
+0.00746664
+0.00767926
+0.00827606
+0.00915795
+0.0100086
+0.0100768
+0.0083745
+0.00695134
+0.00590897
+0.00552555
+0.00590081
+0.00688572
+0.0082304
+0.00964736
+0.0106126
+0.0118633
+0.0133215
+0.0148695
+0.0155016
+0.0133634
+0.0112396
+0.00914727
+0.00711449
+0.00521006
+0.00354936
+0.00253002
+0.00270611
+0.00397874
+0.00568635
+0.00763622
+0.00956915
+0.0115408
+0.0135786
+0.015572
+0.0168974
+0.0156695
+0.0136553
+0.0117047
+0.00981203
+0.00773001
+0.00569904
+0.00384036
+0.0021236
+0.000415061
+-0.00133635
+-0.00235855
+-0.00378243
+-0.00481958
+-0.00573345
+-0.0065387
+-0.00743119
+-0.00857244
+-0.0100212
+-0.00796293
+-0.00599921
+-0.00418212
+-0.0026054
+-0.00116454
+0.000775552
+0.0024871
+0.00341699
+0.0042299
+0.00484243
+0.00595411
+0.00703035
+0.00834054
+0.00970742
+0.0109327
+0.00914144
+0.00756188
+0.00622486
+0.00542797
+0.00492908
+0.00507973
+0.00600506
+0.00739724
+0.00894461
+0.0105727
+0.00930486
+0.00736342
+0.00559124
+0.00406576
+0.00280645
+0.00247024
+0.00333371
+0.00500751
+0.00690009
+0.00882873
+0.0103861
+0.0118317
+0.0134534
+0.0151642
+0.0169757
+0.0142914
+0.0125653
+0.0109284
+0.00947577
+0.00827839
+0.00734976
+0.00686953
+0.00680956
+0.00720941
+0.007976
+0.0090116
+0.0102761
+0.01106
+0.00953487
+0.00823971
+0.00735337
+0.00704522
+0.00735034
+0.0082033
+0.00944714
+0.0109181
+0.0124994
+0.0136095
+0.0149201
+0.0163992
+0.015821
+0.0137278
+0.0116705
+0.00967185
+0.00775022
+0.00598965
+0.00460847
+0.00379936
+0.00394201
+0.00494858
+0.00653645
+0.00833444
+0.0102503
+0.0122573
+0.0142517
+0.0162598
+0.0170336
+0.0149328
+0.0128622
+0.0108053
+0.00876837
+0.00682737
+0.00488616
+0.00295796
+0.00100727
+-0.000883064
+-0.00245035
+-0.00394856
+-0.00515555
+-0.0065298
+-0.00728363
+-0.00772081
+-0.00842229
+-0.00943745
+-0.0108045
+-0.00898881
+-0.00723971
+-0.00564315
+-0.00376298
+-0.00159439
+0.000566797
+0.00191625
+0.00215326
+0.00268496
+0.0035448
+0.0045534
+0.0056761
+0.00703028
+0.00862554
+0.0101187
+0.00906589
+0.00747166
+0.00623365
+0.00535113
+0.00505501
+0.00554899
+0.00669676
+0.00818076
+0.00963843
+0.0113346
+0.0100042
+0.00810839
+0.00625677
+0.004636
+0.00336216
+0.00267214
+0.00320261
+0.00472686
+0.0066321
+0.00811212
+0.00939292
+0.0108668
+0.0125479
+0.014367
+0.016255
+0.0136865
+0.0119065
+0.0102482
+0.00882227
+0.00756433
+0.00670311
+0.00626421
+0.00634953
+0.00689795
+0.0078219
+0.00903279
+0.0104182
+0.0119313
+0.0109569
+0.00983093
+0.00909997
+0.00885082
+0.00909846
+0.00980044
+0.0108864
+0.0122501
+0.0137703
+0.0154003
+0.0166436
+0.0179911
+0.0164248
+0.0144161
+0.0124442
+0.010558
+0.00881379
+0.00731388
+0.00617371
+0.00559176
+0.00571598
+0.00648853
+0.00776773
+0.00939003
+0.0111754
+0.0130555
+0.0150095
+0.0170193
+0.0165643
+0.0144194
+0.0122907
+0.0101751
+0.00807306
+0.00599713
+0.00391055
+0.00199535
+0.000133685
+-0.00176327
+-0.00362905
+-0.00538792
+-0.00679119
+-0.00793434
+-0.00818247
+-0.00865235
+-0.00937712
+-0.0104632
+-0.0117933
+-0.0103212
+-0.00844372
+-0.00630177
+-0.00419943
+-0.00217142
+-0.000286931
+0.00141611
+0.0016604
+0.00189727
+0.00249723
+0.00335202
+0.00447685
+0.00608573
+0.00748548
+0.00908354
+0.00936585
+0.00783291
+0.00658476
+0.00573056
+0.00550372
+0.00600319
+0.00709027
+0.00855692
+0.0102261
+0.0120518
+0.0105407
+0.00865473
+0.00687045
+0.00520974
+0.00388346
+0.00316585
+0.00339926
+0.00453671
+0.00602732
+0.0070975
+0.00852723
+0.0101816
+0.0119145
+0.0137677
+0.0157024
+0.0132541
+0.011485
+0.00975527
+0.00824767
+0.0070527
+0.00624141
+0.00592559
+0.00614365
+0.00683301
+0.00793852
+0.00922271
+0.0107614
+0.0123245
+0.012586
+0.0116189
+0.011005
+0.0107999
+0.0110061
+0.0115931
+0.0125246
+0.0137451
+0.0151671
+0.0167103
+0.0183406
+0.0192308
+0.0172523
+0.0153316
+0.0134934
+0.0117765
+0.010242
+0.00897394
+0.00800588
+0.00756619
+0.00765645
+0.00831369
+0.00935673
+0.0107417
+0.0123619
+0.0141249
+0.0159583
+0.0178723
+0.0163637
+0.0142026
+0.0120356
+0.00987908
+0.00774175
+0.00561496
+0.00355095
+0.00161877
+0.000226842
+-0.00123064
+-0.00316643
+-0.00519958
+-0.00721938
+-0.00882932
+-0.00881265
+-0.00889349
+-0.0093959
+-0.0102942
+-0.0112665
+-0.0110993
+-0.00905062
+-0.00703586
+-0.00509132
+-0.0031694
+-0.00117521
+0.000808391
+0.00103898
+0.00145603
+0.00147604
+0.0023898
+0.00362954
+0.00499742
+0.00637182
+0.00795673
+0.00948219
+0.00861671
+0.00746466
+0.00670864
+0.00647948
+0.00695704
+0.00791742
+0.00925159
+0.0108233
+0.0125815
+0.0112259
+0.00935424
+0.00762584
+0.00599477
+0.00452653
+0.00353481
+0.00341814
+0.00426887
+0.00508673
+0.0063328
+0.00792443
+0.00965259
+0.0114984
+0.0134033
+0.0153845
+0.013003
+0.0112199
+0.00960684
+0.0080952
+0.00690161
+0.0061468
+0.00593622
+0.00625197
+0.00710222
+0.00828743
+0.00965277
+0.0111835
+0.0128379
+0.0143652
+0.013525
+0.0129981
+0.0128249
+0.0130033
+0.0135038
+0.0143114
+0.0153909
+0.0166895
+0.0181274
+0.0196877
+0.0201652
+0.0182881
+0.0164885
+0.0147948
+0.0132476
+0.0119043
+0.0107758
+0.00998359
+0.00963458
+0.00970404
+0.0102306
+0.0111516
+0.0123366
+0.0137705
+0.0153835
+0.01712
+0.0183216
+0.01624
+0.0141118
+0.0120046
+0.00991802
+0.00788751
+0.00590148
+0.00384014
+0.00187596
+6.00786e-05
+-0.00165467
+-0.00363056
+-0.00560283
+-0.00744722
+-0.00690196
+-0.00663469
+-0.00673487
+-0.00736333
+-0.00831622
+-0.00934681
+-0.0106005
+-0.00985571
+-0.00788238
+-0.00575319
+-0.00369432
+-0.00167736
+0.000214023
+0.000769366
+0.00124007
+0.00144878
+0.00171067
+0.0026977
+0.00392497
+0.00530587
+0.00672842
+0.008418
+0.009787
+0.00872557
+0.00807407
+0.0078795
+0.00827759
+0.00909982
+0.0103247
+0.0117946
+0.0134262
+0.0120683
+0.0102533
+0.00849103
+0.00680742
+0.00522949
+0.00404436
+0.00358786
+0.00391569
+0.00476056
+0.00612294
+0.00776802
+0.00954992
+0.0114028
+0.0133212
+0.0153129
+0.013074
+0.0112997
+0.0096879
+0.00828605
+0.00714951
+0.00657043
+0.00641374
+0.00675977
+0.00758189
+0.00880572
+0.0103172
+0.0118437
+0.0134956
+0.0152376
+0.0154845
+0.0150233
+0.0148737
+0.015045
+0.0154887
+0.0161977
+0.0171589
+0.0183328
+0.0196767
+0.0211273
+0.0212849
+0.0195158
+0.0178405
+0.016288
+0.0148967
+0.0136871
+0.0127001
+0.0120353
+0.0117474
+0.0118031
+0.0122397
+0.0130347
+0.0140918
+0.0153627
+0.0168239
+0.0184255
+0.0180808
+0.0159443
+0.0138248
+0.0116822
+0.00952452
+0.00738633
+0.00529127
+0.00328568
+0.00117552
+-0.000959624
+-0.00298566
+-0.00456668
+-0.00608549
+-0.00571654
+-0.00500164
+-0.0044692
+-0.00460223
+-0.00543649
+-0.00638319
+-0.00754175
+-0.00886394
+-0.0091815
+-0.0082553
+-0.00636561
+-0.00443974
+-0.0025652
+-0.000561603
+0.000857009
+0.000919734
+0.00125772
+0.00137977
+0.0023172
+0.00311657
+0.00435142
+0.00590178
+0.00739235
+0.00903372
+0.0102877
+0.00970833
+0.00954531
+0.00987788
+0.010603
+0.0116714
+0.0130111
+0.0145544
+0.0127644
+0.0109432
+0.00925023
+0.00747987
+0.00584286
+0.00455908
+0.00364599
+0.00358281
+0.0044495
+0.00575451
+0.00734162
+0.00915424
+0.0110274
+0.0130001
+0.0150334
+0.0134454
+0.0117181
+0.010171
+0.00884602
+0.00779159
+0.00726388
+0.00733613
+0.00771814
+0.0084884
+0.00962281
+0.0110228
+0.0126493
+0.0143495
+0.0160633
+0.0174961
+0.0170893
+0.0169579
+0.0171084
+0.0175228
+0.0181525
+0.0190151
+0.0200808
+0.0213147
+0.0226858
+0.0225623
+0.0209016
+0.0193466
+0.0179251
+0.0166657
+0.0155599
+0.0146992
+0.0141288
+0.0138844
+0.0139304
+0.0143022
+0.0149883
+0.0159481
+0.0170822
+0.0184075
+0.0198863
+0.0177933
+0.0156938
+0.0136231
+0.0115264
+0.00943176
+0.00733143
+0.00521478
+0.00316061
+0.00118855
+-0.000543619
+-0.00201008
+-0.00366618
+-0.00530702
+-0.00425888
+-0.00314001
+-0.0023369
+-0.00249733
+-0.00345385
+-0.00450975
+-0.00580985
+-0.00719685
+-0.00717264
+-0.0064436
+-0.00563304
+-0.00446228
+-0.00246087
+-0.000335723
+0.00173316
+0.00126677
+0.00107861
+0.00123301
+0.00143716
+0.00261114
+0.00346623
+0.00508534
+0.00661958
+0.00841309
+0.0100512
+0.011508
+0.0113708
+0.0116514
+0.0123028
+0.0132347
+0.0144414
+0.0150523
+0.013178
+0.011399
+0.0097178
+0.0077926
+0.00602469
+0.0044887
+0.00350256
+0.0032811
+0.00401687
+0.00540739
+0.00708601
+0.00889954
+0.010826
+0.0128305
+0.0148867
+0.0141411
+0.0125031
+0.0110196
+0.00980458
+0.00893231
+0.00847592
+0.00847658
+0.00893485
+0.00973966
+0.0107595
+0.0120664
+0.0135685
+0.0152383
+0.0170266
+0.0187723
+0.019183
+0.0190661
+0.0192
+0.0195797
+0.0201559
+0.0209361
+0.0219085
+0.0230448
+0.0243191
+0.0239722
+0.0224161
+0.0209738
+0.0196702
+0.0184966
+0.0175067
+0.0167463
+0.0162479
+0.0160358
+0.0160748
+0.016398
+0.0169997
+0.0178517
+0.0188994
+0.0201052
+0.019462
+0.0173021
+0.0151511
+0.0130134
+0.0108812
+0.00876865
+0.00670643
+0.0047324
+0.00289591
+0.00120508
+-0.000362495
+-0.00197932
+-0.0037598
+-0.00467883
+-0.0028862
+-0.00136835
+-0.000269534
+-0.000507317
+-0.00154877
+-0.00277933
+-0.00418105
+-0.00526783
+-0.00507733
+-0.00449262
+-0.0036596
+-0.00292795
+-0.001591
+0.000272662
+0.00232054
+0.00245972
+0.00204215
+0.00171231
+0.00110602
+0.00198018
+0.00318151
+0.00448952
+0.00616695
+0.00774284
+0.00941592
+0.0111738
+0.0130379
+0.0135475
+0.0141277
+0.0149563
+0.016034
+0.015677
+0.0138472
+0.0120205
+0.00999776
+0.00803949
+0.00621807
+0.00468742
+0.00366541
+0.00348041
+0.00422321
+0.00552135
+0.00716653
+0.00899475
+0.0109459
+0.0129737
+0.0150311
+0.0150929
+0.0135388
+0.0121819
+0.0110949
+0.0102889
+0.00987197
+0.00986161
+0.010284
+0.0110858
+0.0121622
+0.0133486
+0.0147545
+0.0163065
+0.0179889
+0.0197615
+0.0212962
+0.021191
+0.0213116
+0.0216543
+0.0221911
+0.0229022
+0.0237943
+0.0248477
+0.0260338
+0.0254926
+0.0240352
+0.022696
+0.0214787
+0.0203984
+0.0195052
+0.0188258
+0.0183838
+0.0181967
+0.0182302
+0.0185158
+0.0190507
+0.0198147
+0.0207825
+0.0214289
+0.0192466
+0.0170595
+0.0148734
+0.012689
+0.0105072
+0.00833
+0.00616241
+0.0040135
+0.00186064
+-0.000133604
+-0.00183487
+-0.00342591
+-0.00481693
+-0.00420438
+-0.00202693
+0.000142298
+0.00161426
+0.00135886
+0.000283607
+-0.00112418
+-0.00238348
+-0.00319338
+-0.00304893
+-0.00252787
+-0.00176064
+-0.00114249
+-0.000226293
+0.00121987
+0.00304937
+0.00330632
+0.0026106
+0.0021024
+0.00163527
+0.0017883
+0.00280923
+0.00425085
+0.00578098
+0.00743806
+0.00911042
+0.0108336
+0.0126713
+0.014562
+0.0160303
+0.0167876
+0.0177544
+0.0163756
+0.0142655
+0.0121838
+0.0101482
+0.00819287
+0.00638272
+0.00483701
+0.00383374
+0.00372289
+0.00449072
+0.00593961
+0.0075848
+0.00938278
+0.0112809
+0.0132695
+0.0153133
+0.0162592
+0.0148278
+0.0136001
+0.0126014
+0.0118849
+0.0115088
+0.0114999
+0.0118864
+0.0125866
+0.0136071
+0.0148359
+0.0161183
+0.0175758
+0.0191546
+0.0208373
+0.0225874
+0.023328
+0.0234376
+0.0237497
+0.0242504
+0.0249027
+0.0257256
+0.0267033
+0.0278155
+0.0271049
+0.025739
+0.0244895
+0.0233432
+0.0223532
+0.0215412
+0.020928
+0.0205313
+0.0203639
+0.0203931
+0.0206488
+0.0211298
+0.0218211
+0.0227036
+0.0212845
+0.0191041
+0.0169263
+0.0147523
+0.0125841
+0.0104253
+0.0082833
+0.00615591
+0.00399756
+0.00187302
+-0.000186037
+-0.00230683
+-0.00427059
+-0.00507412
+-0.00352129
+-0.0017099
+0.000196602
+0.00226613
+0.00331816
+0.00192278
+0.000507215
+-0.000549102
+-0.00117775
+-0.00106298
+-0.000748041
+4.36228e-05
+0.000825668
+0.00140277
+0.00243897
+0.00392336
+0.00426846
+0.00351262
+0.00279141
+0.00223953
+0.0022488
+0.00271538
+0.00411835
+0.00558427
+0.00713859
+0.0086715
+0.0103743
+0.0122189
+0.0141533
+0.0161533
+0.0181959
+0.0187013
+0.0165993
+0.0145235
+0.0124871
+0.010467
+0.00852876
+0.00674689
+0.00527283
+0.00437847
+0.0043478
+0.00519249
+0.00659921
+0.00827648
+0.00999032
+0.0118621
+0.0138112
+0.0158183
+0.0176217
+0.0163103
+0.0151963
+0.0142753
+0.013647
+0.0133059
+0.0132983
+0.0136469
+0.014267
+0.015175
+0.0163282
+0.017649
+0.0189897
+0.0204674
+0.0220512
+0.0237317
+0.0254742
+0.0255746
+0.0258609
+0.026327
+0.0269328
+0.0276955
+0.0286059
+0.0296506
+0.0287937
+0.0275118
+0.0263232
+0.0252601
+0.0243481
+0.0236049
+0.0230466
+0.022687
+0.0225356
+0.0225613
+0.0227928
+0.0232294
+0.02386
+0.0235399
+0.021365
+0.0191937
+0.0170274
+0.0148682
+0.0127197
+0.0105887
+0.008469
+0.00636903
+0.00435203
+0.00245166
+0.000459897
+-0.00166036
+-0.00360027
+-0.00353753
+-0.00219767
+-0.000614817
+0.00109408
+0.00301502
+0.00494944
+0.00352233
+0.00234049
+0.00128821
+0.000823677
+0.00090908
+0.00111305
+0.00181063
+0.00258308
+0.00314874
+0.00402823
+0.00521401
+0.00528307
+0.00434398
+0.00336477
+0.00305452
+0.003031
+0.00337282
+0.00428957
+0.00562731
+0.00703014
+0.00854742
+0.0102708
+0.0121312
+0.0140776
+0.016087
+0.0181371
+0.0190869
+0.0170124
+0.014966
+0.0129668
+0.0110406
+0.00922053
+0.0075624
+0.00624179
+0.00550079
+0.00543293
+0.00613528
+0.00736792
+0.00896071
+0.0107432
+0.0126544
+0.014538
+0.0164758
+0.0191386
+0.0179385
+0.0168972
+0.016074
+0.0155187
+0.0152066
+0.0151999
+0.0155058
+0.0160708
+0.0168821
+0.0179258
+0.0191641
+0.0205367
+0.0219146
+0.0234007
+0.0249906
+0.0266659
+0.02772
+0.0279843
+0.0284156
+0.0289864
+0.0296963
+0.0305472
+0.0315276
+0.0305463
+0.0293277
+0.0282077
+0.0272183
+0.0263742
+0.0256896
+0.0251776
+0.0248489
+0.0247107
+0.0247336
+0.0249448
+0.0253444
+0.0259236
+0.0238114
+0.0216644
+0.0195241
+0.0173958
+0.0152852
+0.0131913
+0.01112
+0.00898372
+0.00681543
+0.00466812
+0.00259437
+0.000732388
+-0.000698578
+-0.00200901
+-0.00166641
+-0.00080199
+0.00070757
+0.00239473
+0.00406938
+0.00594821
+0.0052736
+0.00416344
+0.00319958
+0.00281121
+0.00277904
+0.00299401
+0.00355502
+0.00420253
+0.00486144
+0.00572838
+0.00684563
+0.00642675
+0.00506139
+0.00428522
+0.00387815
+0.00404774
+0.00415188
+0.0048965
+0.00606656
+0.00749243
+0.00894911
+0.0106278
+0.0124264
+0.0143327
+0.0163084
+0.0183331
+0.0196194
+0.0176034
+0.0156346
+0.013733
+0.0119241
+0.0102352
+0.00877102
+0.00763509
+0.00700021
+0.00693657
+0.00749939
+0.0085729
+0.0099873
+0.0116359
+0.0134383
+0.0153266
+0.0172863
+0.0207761
+0.0196581
+0.0187003
+0.0179599
+0.0174595
+0.0171765
+0.0171706
+0.017442
+0.0179609
+0.0186903
+0.0196381
+0.0207746
+0.0220701
+0.0234668
+0.0248701
+0.0263716
+0.0279643
+0.0296334
+0.0301174
+0.0305185
+0.0310586
+0.0317222
+0.0325201
+0.0334427
+0.0323497
+0.0311845
+0.0301337
+0.0292096
+0.0284247
+0.0277906
+0.0273181
+0.0270154
+0.0268884
+0.0269088
+0.0271031
+0.0258491
+0.0244977
+0.0231041
+0.0218374
+0.020044
+0.0179774
+0.015832
+0.0136968
+0.0115822
+0.00950224
+0.00748568
+0.00560148
+0.00379692
+0.00230865
+0.000884788
+-0.000113041
+3.11208e-05
+0.000890107
+0.00214363
+0.00364523
+0.00533791
+0.00710945
+0.00714418
+0.00601268
+0.00523765
+0.0047913
+0.00465105
+0.00480905
+0.00520058
+0.00592363
+0.00664536
+0.00744089
+0.00848338
+0.00753393
+0.00635655
+0.0054091
+0.00475967
+0.00492009
+0.005117
+0.00584687
+0.00707139
+0.00841333
+0.0097616
+0.0113217
+0.0130227
+0.0148526
+0.016768
+0.0187431
+0.0203709
+0.0184373
+0.0165679
+0.0147605
+0.0130708
+0.0115508
+0.0102586
+0.00930011
+0.00877368
+0.008723
+0.00918903
+0.0100842
+0.0113377
+0.012822
+0.0144793
+0.0162633
+0.0181348
+0.0225069
+0.0214528
+0.0205787
+0.0199084
+0.019448
+0.0191944
+0.019189
+0.0194323
+0.0199123
+0.0205729
+0.0214377
+0.0224835
+0.0236861
+0.0250192
+0.0264344
+0.0278567
+0.0293689
+0.0309624
+0.0322582
+0.032633
+0.0331462
+0.0337688
+0.0345194
+0.0353752
+0.0341829
+0.0330823
+0.0320936
+0.0312276
+0.0304946
+0.0299045
+0.0294659
+0.0291855
+0.0290115
+0.0273339
+0.0257335
+0.0242154
+0.0227934
+0.0215009
+0.0201523
+0.0189416
+0.0179172
+0.0164267
+0.01438
+0.0123827
+0.0104631
+0.0085919
+0.00686886
+0.00535962
+0.00387822
+0.00266166
+0.00201359
+0.00196179
+0.00261611
+0.00376051
+0.00507268
+0.00663977
+0.00835841
+0.008943
+0.00793938
+0.00731568
+0.00673541
+0.00649481
+0.00667639
+0.00707038
+0.00769108
+0.00842737
+0.00915332
+0.00981441
+0.0089397
+0.00763582
+0.00655796
+0.00596526
+0.00590081
+0.00595031
+0.00672054
+0.00784983
+0.00920581
+0.0107827
+0.0123548
+0.0139415
+0.0156645
+0.0174919
+0.0193934
+0.021322
+0.0194673
+0.0176849
+0.0160041
+0.0144605
+0.0130912
+0.0119597
+0.0111484
+0.0106987
+0.0106572
+0.0110559
+0.0118105
+0.0128973
+0.0142404
+0.0157561
+0.0174098
+0.0191714
+0.0242888
+0.0233154
+0.0225137
+0.0219026
+0.0214759
+0.0212464
+0.0212416
+0.0214616
+0.0218996
+0.0225114
+0.0233044
+0.0242698
+0.025388
+0.0266398
+0.0280006
+0.0294281
+0.0308652
+0.0323852
+0.0339784
+0.0347569
+0.0352415
+0.0358323
+0.0365406
+0.0371976
+0.036056
+0.0350142
+0.0340817
+0.0332674
+0.0325804
+0.0320288
+0.0312788
+0.0294528
+0.0276773
+0.0259589
+0.024268
+0.022663
+0.0211506
+0.0197509
+0.0185054
+0.017252
+0.0161213
+0.0151963
+0.0145116
+0.0134375
+0.011611
+0.00993281
+0.00841548
+0.00683164
+0.00543892
+0.00442933
+0.00396529
+0.00378249
+0.00437136
+0.00537214
+0.0066101
+0.00803716
+0.0096361
+0.0107941
+0.00986773
+0.00914207
+0.00863461
+0.00839392
+0.00850947
+0.00901223
+0.00952967
+0.0101751
+0.010996
+0.0113518
+0.0102073
+0.00894834
+0.00802679
+0.00754368
+0.00715704
+0.00727201
+0.00792278
+0.00893859
+0.0102693
+0.0117341
+0.0133719
+0.015084
+0.0166914
+0.0184194
+0.0202373
+0.0221228
+0.02066
+0.0189898
+0.0174353
+0.0160224
+0.014791
+0.0137996
+0.0131027
+0.01271
+0.0126751
+0.0130142
+0.0136705
+0.0146196
+0.0158172
+0.0172114
+0.0187431
+0.0203899
+0.0261328
+0.0252307
+0.0244918
+0.0239313
+0.023533
+0.0233238
+0.0233194
+0.0235199
+0.0239203
+0.0244925
+0.0252232
+0.0261178
+0.02716
+0.0283336
+0.0296229
+0.0310049
+0.0324403
+0.0338899
+0.0354155
+0.0368887
+0.0373456
+0.0379102
+0.0385803
+0.039049
+0.037963
+0.0369751
+0.0360932
+0.0353254
+0.0340615
+0.0321081
+0.0301822
+0.0282857
+0.0264319
+0.0246323
+0.022901
+0.0212116
+0.019601
+0.0180971
+0.0167289
+0.0155438
+0.014434
+0.0134232
+0.0126464
+0.012182
+0.0120491
+0.0111843
+0.00949435
+0.00803614
+0.00690568
+0.00614197
+0.00563764
+0.00559923
+0.00601343
+0.00689036
+0.00812179
+0.00943481
+0.0109743
+0.0126078
+0.0117374
+0.0109691
+0.0104919
+0.0103702
+0.01047
+0.0109008
+0.0113891
+0.0119743
+0.0128289
+0.0127784
+0.0116017
+0.0104679
+0.00967334
+0.00901205
+0.00870828
+0.00884837
+0.0094092
+0.0102872
+0.0114886
+0.0129307
+0.0144649
+0.0161196
+0.0178665
+0.0195298
+0.0212529
+0.0230555
+0.0220066
+0.0204468
+0.0190066
+0.0177118
+0.0166062
+0.0157296
+0.0151216
+0.0147725
+0.0147424
+0.015035
+0.0156164
+0.0164537
+0.0175264
+0.0187943
+0.0202206
+0.0217612
+0.0280269
+0.0271876
+0.0265033
+0.0259863
+0.0256122
+0.0254201
+0.0254161
+0.0256002
+0.0259685
+0.0265065
+0.0271832
+0.0280153
+0.0289894
+0.0300917
+0.0313087
+0.0326275
+0.0340259
+0.0354662
+0.0369268
+0.0384567
+0.0394591
+0.04
+0.0406357
+0.0409339
+0.0398992
+0.0389604
+0.0372537
+0.0352049
+0.0331743
+0.0311654
+0.0291826
+0.0272317
+0.0253152
+0.02343
+0.0216024
+0.0198486
+0.0181692
+0.0165526
+0.0150619
+0.0137408
+0.0126466
+0.0117578
+0.010882
+0.0103333
+0.0101842
+0.00947036
+0.00914075
+0.00917514
+0.00842656
+0.00767395
+0.00723611
+0.00722217
+0.00762879
+0.00841772
+0.00935466
+0.00985953
+0.010722
+0.0119179
+0.0133672
+0.0128296
+0.0123997
+0.0122711
+0.0123134
+0.0126265
+0.0131418
+0.013775
+0.0145327
+0.0141847
+0.0131015
+0.012179
+0.0113714
+0.0106939
+0.0104408
+0.0105696
+0.0111103
+0.0118674
+0.0129509
+0.0142567
+0.0157501
+0.0172933
+0.0189577
+0.020707
+0.0224371
+0.0241515
+0.023477
+0.0220211
+0.0206843
+0.0195013
+0.0185029
+0.0177204
+0.0171753
+0.0168673
+0.016841
+0.0170977
+0.01762
+0.0183662
+0.019333
+0.0204894
+0.0218051
+0.0232531
+0.0299613
+0.0291778
+0.0285413
+0.0280565
+0.0277086
+0.0275312
+0.0275275
+0.0276976
+0.0280383
+0.0285436
+0.029176
+0.0299528
+0.0308658
+0.0319033
+0.0330537
+0.0343055
+0.0356481
+0.0370598
+0.0385034
+0.039973
+0.0415063
+0.0421002
+0.0427046
+0.0428478
+0.0407858
+0.038676
+0.0365757
+0.0344867
+0.0324111
+0.0303517
+0.028312
+0.0262967
+0.0243116
+0.022365
+0.0204567
+0.0185951
+0.016813
+0.0151385
+0.0135267
+0.0120587
+0.0108147
+0.00986271
+0.00921656
+0.0086458
+0.00826657
+0.00743027
+0.00700016
+0.00699887
+0.00739358
+0.00682923
+0.00620204
+0.00618967
+0.00682905
+0.00733708
+0.00739981
+0.00800601
+0.00903176
+0.0104201
+0.0119852
+0.0137194
+0.0143664
+0.0141699
+0.0141849
+0.0144688
+0.0149644
+0.0155839
+0.016093
+0.0157534
+0.0147156
+0.0139044
+0.0130782
+0.0124936
+0.0122776
+0.0124017
+0.0128761
+0.0136177
+0.0145717
+0.015767
+0.0171293
+0.0186481
+0.0202011
+0.0218635
+0.0236124
+0.0253895
+0.0250472
+0.0236879
+0.0224506
+0.0213656
+0.0204584
+0.0197535
+0.0192579
+0.0189837
+0.0189604
+0.0191887
+0.01966
+0.0203348
+0.0212121
+0.0222711
+0.0234872
+0.0245062
+0.0319289
+0.0311949
+0.0306003
+0.0301422
+0.0298186
+0.0296538
+0.0296503
+0.0298083
+0.0301252
+0.0305961
+0.0311954
+0.031923
+0.0327812
+0.0337599
+0.0348491
+0.0360386
+0.0373189
+0.038681
+0.0401034
+0.0415496
+0.0430267
+0.044204
+0.0445771
+0.0424296
+0.0402868
+0.0381494
+0.0360185
+0.0338951
+0.0317809
+0.0296778
+0.0275884
+0.0255159
+0.0234649
+0.0214415
+0.0194545
+0.017516
+0.0156232
+0.0138052
+0.0121111
+0.0105395
+0.00911918
+0.00801458
+0.00731034
+0.0070511
+0.00642668
+0.00542089
+0.00483794
+0.00483561
+0.00537781
+0.00488934
+0.0040654
+0.00405295
+0.00496546
+0.00549534
+0.00556931
+0.00631922
+0.00755908
+0.00911416
+0.0108649
+0.0126961
+0.0146052
+0.0161309
+0.0161042
+0.0163165
+0.0161519
+0.0154898
+0.0150936
+0.0149867
+0.0151899
+0.0155652
+0.0148982
+0.014402
+0.014215
+0.0143251
+0.0147377
+0.0154529
+0.016326
+0.0174019
+0.0186451
+0.0200512
+0.0215884
+0.0231575
+0.0248149
+0.0265498
+0.0267048
+0.0254343
+0.0242861
+0.0232868
+0.0224573
+0.0218171
+0.0213622
+0.0211154
+0.0210944
+0.0212998
+0.0217254
+0.0223448
+0.0226935
+0.0230769
+0.0236546
+0.0244159
+0.0339239
+0.0332339
+0.0326765
+0.0322417
+0.0319395
+0.0317856
+0.0317824
+0.0319299
+0.0322259
+0.0326665
+0.0332364
+0.0339203
+0.0347292
+0.0356545
+0.0366874
+0.0378192
+0.0390411
+0.0403451
+0.0417229
+0.0431548
+0.0446029
+0.0460863
+0.0442296
+0.0420644
+0.039902
+0.0377429
+0.0355876
+0.0334369
+0.0312917
+0.0291534
+0.0270234
+0.0249039
+0.0227979
+0.0207095
+0.0186446
+0.0166119
+0.014625
+0.012705
+0.0108483
+0.0091312
+0.00759876
+0.00629519
+0.00548471
+0.00526497
+0.00474393
+0.00347214
+0.00271683
+0.00271573
+0.00349944
+0.00309172
+0.00201533
+0.00200957
+0.00324872
+0.00393371
+0.00404063
+0.00492908
+0.00625866
+0.00790565
+0.00975049
+0.0116952
+0.0137143
+0.0157792
+0.0175819
+0.0164124
+0.0154665
+0.014756
+0.0143152
+0.0142025
+0.0143981
+0.0148805
+0.0155165
+0.0153329
+0.0154606
+0.0158619
+0.0165203
+0.0173049
+0.0181754
+0.0191481
+0.0202847
+0.0215842
+0.0230193
+0.0245452
+0.0261147
+0.0277685
+0.0284347
+0.027245
+0.0261764
+0.0252519
+0.0244891
+0.0239034
+0.0234823
+0.023258
+0.0230268
+0.0227307
+0.0225208
+0.0225222
+0.0227356
+0.0231552
+0.0237479
+0.0245062
+0.0359416
+0.0352911
+0.0347667
+0.0343527
+0.0340691
+0.033925
+0.0339219
+0.0340601
+0.0343378
+0.0347516
+0.0352953
+0.0359402
+0.0367046
+0.0375812
+0.0385626
+0.0396408
+0.0408083
+0.0420575
+0.0433815
+0.0447711
+0.0462124
+0.0461676
+0.0439887
+0.041811
+0.0396348
+0.0374602
+0.0352876
+0.0331175
+0.0309502
+0.0287865
+0.0266271
+0.0244734
+0.0223268
+0.0201898
+0.0180655
+0.0159593
+0.0138792
+0.0118391
+0.00986376
+0.00799637
+0.00626706
+0.00482405
+0.00384575
+0.00369584
+0.00346391
+0.00174668
+0.000755588
+0.000686829
+0.00185471
+0.00160212
+0.0001066
+0.000171814
+0.00187851
+0.0027622
+0.00246538
+0.00335705
+0.00497663
+0.00687576
+0.00890974
+0.0109225
+0.01297
+0.0150579
+0.0171714
+0.0160269
+0.0150439
+0.0142796
+0.0138237
+0.013707
+0.0139095
+0.0144083
+0.0148554
+0.0146635
+0.0147855
+0.0151767
+0.0158636
+0.0168099
+0.0179747
+0.0193185
+0.0208067
+0.0224105
+0.0236116
+0.024862
+0.026228
+0.0276957
+0.0292539
+0.029108
+0.0281102
+0.0272515
+0.0262001
+0.0252105
+0.0243761
+0.0237032
+0.0232179
+0.0229193
+0.0227475
+0.0227497
+0.022961
+0.0233766
+0.0239858
+0.0247611
+0.0379786
+0.0373636
+0.0368684
+0.036473
+0.0362061
+0.0360705
+0.0360676
+0.0361976
+0.036459
+0.036849
+0.0373636
+0.037979
+0.0387031
+0.0395355
+0.0404695
+0.0414982
+0.0426148
+0.0438126
+0.045085
+0.046426
+0.0478257
+0.0460411
+0.0438559
+0.0416713
+0.0394874
+0.0373043
+0.0351221
+0.032941
+0.0307613
+0.0285832
+0.0264073
+0.024234
+0.0220642
+0.0198989
+0.0177399
+0.0155897
+0.0134526
+0.011336
+0.00925389
+0.00723621
+0.0053185
+0.00363604
+0.00257938
+0.00253392
+0.00270785
+0.000939234
+-0.000556163
+-0.000807814
+0.000814704
+0.000682671
+-0.00125208
+-0.000883714
+0.00107455
+0.00175031
+0.000934858
+0.00215056
+0.00402753
+0.0060615
+0.00815265
+0.0102853
+0.0124382
+0.0146018
+0.0167676
+0.0159098
+0.0149025
+0.0141306
+0.0136698
+0.0135511
+0.0137255
+0.0142307
+0.0144801
+0.0142832
+0.0143855
+0.0147873
+0.0154915
+0.0164592
+0.0176471
+0.0190141
+0.0205244
+0.0221486
+0.0234032
+0.0246641
+0.0260405
+0.0275181
+0.0290859
+0.0302747
+0.028929
+0.0276914
+0.0265668
+0.0255779
+0.0247439
+0.0240809
+0.0236033
+0.0233097
+0.0231444
+0.0231821
+0.0233903
+0.0237984
+0.0243971
+0.0251518
+0.0400318
+0.0394487
+0.0389751
+0.0386013
+0.0383491
+0.0382211
+0.0382184
+0.0383411
+0.038588
+0.0389567
+0.0394438
+0.0400338
+0.0407214
+0.0415134
+0.0424038
+0.0433867
+0.0444559
+0.0456053
+0.0468291
+0.0481215
+0.0482054
+0.0460187
+0.0438324
+0.0416466
+0.0394613
+0.0372766
+0.0350927
+0.0329097
+0.0307278
+0.0285472
+0.0263683
+0.0241915
+0.0220174
+0.0198471
+0.0176817
+0.0155235
+0.0133758
+0.0112447
+0.00914092
+0.00708777
+0.00510595
+0.00331492
+0.00219862
+0.0023086
+0.00206168
+0.000205902
+-0.0017711
+-0.00124022
+5.90528e-05
+0.000331914
+-0.0014445
+-0.00127269
+0.000874778
+0.00141219
+0.000140711
+0.00142231
+0.00350435
+0.00566873
+0.00784773
+0.0100318
+0.0122183
+0.014406
+0.0165945
+0.0160776
+0.0150815
+0.0143192
+0.0138641
+0.0136883
+0.0138527
+0.0143534
+0.0144173
+0.0142202
+0.0143134
+0.0147172
+0.0154245
+0.0163962
+0.0175884
+0.0189596
+0.0204739
+0.0221006
+0.0233988
+0.02466
+0.0260366
+0.0275145
+0.0290824
+0.0307266
+0.0294171
+0.0281887
+0.0270821
+0.0261127
+0.0252963
+0.0246482
+0.0241819
+0.0238953
+0.0237341
+0.0237744
+0.0240013
+0.0243992
+0.0249835
+0.0257199
+0.0420988
+0.0415448
+0.0410905
+0.0407361
+0.0404973
+0.0403761
+0.0403735
+0.0404897
+0.0407235
+0.0410731
+0.0415354
+0.0421024
+0.0427567
+0.0435116
+0.044362
+0.0453024
+0.0463274
+0.0474315
+0.0486093
+0.0498556
+0.0482835
+0.0461001
+0.0439171
+0.0417345
+0.0395527
+0.037372
+0.0351925
+0.0330145
+0.0308383
+0.0286642
+0.026493
+0.0243252
+0.0221619
+0.0200046
+0.0178554
+0.0157177
+0.0135969
+0.0115022
+0.00945122
+0.00747988
+0.00563445
+0.00407847
+0.00318054
+0.00327462
+0.00272166
+0.000901644
+0.000393601
+0.000666839
+0.00165047
+0.00145297
+0.000702047
+0.000733808
+0.00177497
+0.00218327
+0.00129511
+0.00205326
+0.00386641
+0.00593364
+0.0080638
+0.0102167
+0.0123739
+0.0145382
+0.0167094
+0.0165364
+0.0155697
+0.0148321
+0.014337
+0.014159
+0.0143179
+0.0148026
+0.0146532
+0.0144586
+0.0145689
+0.0149643
+0.0156589
+0.0166154
+0.0177916
+0.019147
+0.0206458
+0.0222288
+0.0235984
+0.0248479
+0.0262156
+0.0276847
+0.0292435
+0.0308791
+0.0300435
+0.0288418
+0.0277612
+0.0268163
+0.0260221
+0.0253925
+0.024937
+0.0246561
+0.0245061
+0.0245452
+0.024765
+0.0251508
+0.025718
+0.0264542
+0.0441777
+0.0436501
+0.0432134
+0.0428766
+0.0426497
+0.0425346
+0.0425322
+0.0426425
+0.0428646
+0.0431969
+0.0436366
+0.0441808
+0.0448067
+0.0455276
+0.046341
+0.047242
+0.0482258
+0.0492874
+0.0504219
+0.0506205
+0.0484427
+0.046266
+0.0440908
+0.0419172
+0.0397454
+0.0375759
+0.035409
+0.0332451
+0.0310851
+0.0289296
+0.0267799
+0.0246373
+0.0225041
+0.020383
+0.0182784
+0.0161966
+0.0141477
+0.0121484
+0.0102278
+0.00843718
+0.00681773
+0.00558076
+0.00487945
+0.00492437
+0.00396046
+0.00271563
+0.00258345
+0.00280249
+0.00354784
+0.00341096
+0.00287847
+0.00287147
+0.00356629
+0.00381128
+0.0033428
+0.00371101
+0.00496976
+0.00671078
+0.00865845
+0.0107005
+0.0127919
+0.0149118
+0.0170496
+0.0172027
+0.0162458
+0.0155334
+0.0150699
+0.0149006
+0.0150517
+0.0154909
+0.0152036
+0.0150136
+0.0150844
+0.0154665
+0.0161395
+0.0170691
+0.018216
+0.019542
+0.0210127
+0.0225699
+0.0239587
+0.0251908
+0.0265415
+0.0279987
+0.0295466
+0.0311717
+0.0308132
+0.0296427
+0.0285924
+0.0276759
+0.026907
+0.0262986
+0.0258551
+0.0255742
+0.0254439
+0.0254815
+0.0256934
+0.0260654
+0.0266131
+0.0273252
+0.046267
+0.0457635
+0.0453428
+0.0450219
+0.0448059
+0.0446964
+0.0446941
+0.0447991
+0.0450105
+0.045327
+0.0457463
+0.0462657
+0.0468694
+0.047559
+0.0483383
+0.0492027
+0.0501481
+0.0511698
+0.0522634
+0.0508657
+0.0486988
+0.0465342
+0.0443721
+0.0422129
+0.0400572
+0.0379055
+0.0357586
+0.0336172
+0.0314827
+0.0293565
+0.0272404
+0.0251372
+0.0230502
+0.0209845
+0.0189467
+0.0169472
+0.0150012
+0.0131326
+0.0113574
+0.00972905
+0.00836031
+0.00735988
+0.00683761
+0.00682616
+0.00564097
+0.00484871
+0.00477331
+0.00495949
+0.0055466
+0.00548773
+0.00505691
+0.00502248
+0.00556548
+0.00581664
+0.00546131
+0.00569479
+0.0066337
+0.00802135
+0.0097096
+0.0115676
+0.0135255
+0.0155457
+0.0176067
+0.018076
+0.0171623
+0.0164844
+0.0160484
+0.0158896
+0.0160314
+0.0164444
+0.0160369
+0.0158222
+0.0158877
+0.0162509
+0.0168927
+0.017783
+0.0188866
+0.0201686
+0.0215966
+0.0231145
+0.0245103
+0.0257159
+0.0270404
+0.0284721
+0.0299956
+0.0315976
+0.0317158
+0.0305799
+0.0295629
+0.0286775
+0.0279362
+0.0273475
+0.0269207
+0.0266413
+0.0265298
+0.0265659
+0.0267692
+0.0271265
+0.0276532
+0.0283392
+0.0483652
+0.0478825
+0.0474777
+0.0471713
+0.0469652
+0.0468608
+0.0468586
+0.0469587
+0.0471605
+0.0474627
+0.0478633
+0.0483599
+0.0489432
+0.049604
+0.0503516
+0.0511821
+0.0520915
+0.0530758
+0.0533586
+0.0512035
+0.0490515
+0.0469032
+0.0447589
+0.0426194
+0.0404853
+0.0383576
+0.0362375
+0.0341262
+0.0320256
+0.029938
+0.0278661
+0.0258139
+0.0237864
+0.0217905
+0.0198358
+0.0179357
+0.0161079
+0.0143513
+0.0127289
+0.0112999
+0.010125
+0.00930101
+0.00886945
+0.00868693
+0.00758643
+0.00701737
+0.0069632
+0.00713685
+0.00758211
+0.00759251
+0.00724074
+0.00719448
+0.00765878
+0.00792079
+0.00762065
+0.00779023
+0.00851824
+0.00965648
+0.0110987
+0.012756
+0.0145549
+0.0164491
+0.0184093
+0.0191573
+0.0182919
+0.0176574
+0.0172429
+0.0170952
+0.0172271
+0.0175494
+0.017098
+0.0168766
+0.016938
+0.0172792
+0.0178842
+0.0187274
+0.0197784
+0.021006
+0.0223806
+0.0238487
+0.0252406
+0.0264129
+0.0277041
+0.0291031
+0.0305952
+0.0321673
+0.0327403
+0.0316412
+0.0306594
+0.0298066
+0.0290941
+0.0285258
+0.0281154
+0.0278401
+0.0277334
+0.027768
+0.0279745
+0.0283175
+0.0288225
+0.0294813
+0.0504714
+0.050005
+0.0496175
+0.0493244
+0.0491274
+0.0490275
+0.0490254
+0.0491211
+0.0493141
+0.0496031
+0.0499866
+0.0504623
+0.0510266
+0.051661
+0.0523792
+0.053178
+0.0540539
+0.0550031
+0.05377
+0.0516321
+0.0494988
+0.0473707
+0.0452486
+0.0431334
+0.0410261
+0.0389279
+0.0368406
+0.034766
+0.0327065
+0.0306653
+0.0286461
+0.026654
+0.0246955
+0.0227794
+0.0209173
+0.0191116
+0.0173817
+0.0157667
+0.0143058
+0.0130397
+0.0120306
+0.0113246
+0.0109595
+0.0105259
+0.00963773
+0.00919648
+0.00915316
+0.00932047
+0.00968558
+0.00970647
+0.00942771
+0.00937519
+0.00973605
+0.0100619
+0.00979393
+0.0099269
+0.0105079
+0.0114783
+0.0127156
+0.0141851
+0.0158224
+0.0175806
+0.0194269
+0.0204119
+0.019602
+0.0190017
+0.0186117
+0.0184749
+0.018597
+0.0187632
+0.0183418
+0.0181355
+0.0181927
+0.0185108
+0.0190767
+0.0198694
+0.0208629
+0.0220301
+0.0233446
+0.0247556
+0.0261346
+0.0272685
+0.028521
+0.0298818
+0.0313368
+0.0328735
+0.0338757
+0.0328147
+0.0318691
+0.0310495
+0.030363
+0.0298186
+0.0294179
+0.0291545
+0.0290515
+0.0290845
+0.0292818
+0.0296229
+0.030106
+0.0307373
+0.0525844
+0.0521331
+0.0517616
+0.0514807
+0.0512919
+0.0511963
+0.0511943
+0.051286
+0.0514708
+0.0517478
+0.0521155
+0.0525719
+0.0531149
+0.0537285
+0.0544194
+0.0551887
+0.0560331
+0.05639
+0.0542668
+0.0521493
+0.050038
+0.0479339
+0.0458379
+0.0437511
+0.0416751
+0.0396114
+0.037562
+0.0355296
+0.033517
+0.0315283
+0.0295681
+0.0276425
+0.0257594
+0.0239273
+0.0221407
+0.0204324
+0.0188242
+0.0173441
+0.0160234
+0.0148947
+0.0140197
+0.0134008
+0.0130825
+0.012479
+0.0117395
+0.01138
+0.0113431
+0.0114952
+0.0118207
+0.0118471
+0.0116161
+0.0115597
+0.0118542
+0.0121997
+0.0119735
+0.0120829
+0.0125646
+0.0133918
+0.0144841
+0.0157899
+0.0172757
+0.0188992
+0.0206278
+0.0218149
+0.021059
+0.0204875
+0.0201263
+0.0199999
+0.0201127
+0.0201428
+0.0197508
+0.0195595
+0.0196125
+0.0199079
+0.0204352
+0.021177
+0.0221119
+0.0232164
+0.0244672
+0.0258169
+0.0271762
+0.0282683
+0.0294784
+0.0307969
+0.0322106
+0.0337075
+0.0351112
+0.0340886
+0.0331794
+0.032393
+0.0317324
+0.0312118
+0.0308208
+0.0305695
+0.0304702
+0.0305017
+0.0306899
+0.0310245
+0.0314861
+0.0320909
+0.0547035
+0.0542662
+0.0539094
+0.0536398
+0.0534586
+0.0533669
+0.053365
+0.0534529
+0.0536303
+0.0538961
+0.0542493
+0.0546879
+0.0552101
+0.0558054
+0.0564709
+0.0572126
+0.0580276
+0.0569482
+0.0548467
+0.0527524
+0.0506663
+0.0485894
+0.0465229
+0.0444684
+0.0424274
+0.0404021
+0.038395
+0.0364091
+0.034448
+0.0325162
+0.0306194
+0.0287643
+0.0269498
+0.0251867
+0.0234955
+0.0218932
+0.0204005
+0.0190432
+0.0178372
+0.0168306
+0.0160472
+0.0155086
+0.0152248
+0.0145001
+0.0138688
+0.0135659
+0.0135331
+0.0136605
+0.0139652
+0.0140028
+0.0138052
+0.0137461
+0.0139947
+0.0143483
+0.0141566
+0.0142495
+0.0146602
+0.0153751
+0.0163542
+0.017522
+0.018872
+0.0203686
+0.021982
+0.0233395
+0.0226298
+0.022087
+0.0217524
+0.0216355
+0.021736
+0.0216566
+0.0212777
+0.0211002
+0.0211493
+0.0214235
+0.0219144
+0.0226077
+0.0234857
+0.0245285
+0.025716
+0.0270146
+0.0283491
+0.0293977
+0.0305631
+0.0318367
+0.0332062
+0.0346601
+0.0361883
+0.0354523
+0.034579
+0.0338221
+0.0331899
+0.0326926
+0.0323115
+0.0320719
+0.0319762
+0.0320062
+0.0321856
+0.0325112
+0.0329528
+0.0335311
+0.056828
+0.0564037
+0.0560606
+0.0558013
+0.0556272
+0.055539
+0.0555372
+0.0556217
+0.0557922
+0.0560478
+0.0563874
+0.0568096
+0.0573124
+0.0578907
+0.0585325
+0.0592484
+0.05967
+0.0575845
+0.0555071
+0.0534387
+0.0513804
+0.0493336
+0.0472996
+0.0452803
+0.0432777
+0.0412941
+0.0393326
+0.0373965
+0.03549
+0.0336181
+0.031786
+0.0299874
+0.0282439
+0.0265668
+0.0249693
+0.0234678
+0.0220818
+0.0208249
+0.0197276
+0.0188224
+0.018112
+0.0176365
+0.0173749
+0.0165644
+0.0160147
+0.0157531
+0.0157231
+0.0158329
+0.016117
+0.0161679
+0.0159947
+0.0159337
+0.0161487
+0.0165081
+0.0163417
+0.0164225
+0.0167801
+0.0174081
+0.0182787
+0.0193473
+0.0205779
+0.0219586
+0.0234629
+0.0249511
+0.0242629
+0.0237576
+0.0234468
+0.0233384
+0.023431
+0.0232638
+0.0228928
+0.0227279
+0.0227736
+0.0230285
+0.0234858
+0.0241341
+0.0249584
+0.025942
+0.0270676
+0.0283182
+0.029634
+0.0306396
+0.0317621
+0.0329894
+0.0343129
+0.0357218
+0.0372064
+0.0368958
+0.0360571
+0.0353293
+0.0347245
+0.0342456
+0.0338783
+0.0336499
+0.0335577
+0.0335863
+0.0337573
+0.0340686
+0.0344963
+0.0350492
+0.0589554
+0.0585452
+0.0582146
+0.057965
+0.0577974
+0.0577126
+0.0577108
+0.0577921
+0.0579562
+0.0582023
+0.0585295
+0.0589363
+0.0594211
+0.0599821
+0.0606031
+0.0612949
+0.0603571
+0.0582962
+0.056245
+0.0542048
+0.0521768
+0.0501625
+0.0481635
+0.046182
+0.0442202
+0.0422809
+0.0403673
+0.0384833
+0.0366334
+0.0348154
+0.0330362
+0.0313092
+0.0296436
+0.0280503
+0.0265422
+0.0251348
+0.0238407
+0.0226779
+0.0216747
+0.0208512
+0.0202033
+0.0197763
+0.0193807
+0.0186575
+0.0181713
+0.0179411
+0.0179042
+0.0180096
+0.0182781
+0.0183391
+0.0181845
+0.0181221
+0.0183114
+0.018675
+0.0185281
+0.0185997
+0.0189161
+0.0194754
+0.0202573
+0.0212374
+0.0223684
+0.0236448
+0.025048
+0.026558
+0.0259783
+0.0255069
+0.0252177
+0.0251169
+0.0252024
+0.0249428
+0.0245972
+0.0244438
+0.0244862
+0.0247235
+0.02515
+0.0257564
+0.0265304
+0.0274578
+0.0285236
+0.0297129
+0.0310116
+0.0319815
+0.0330609
+0.0342436
+0.0355204
+0.0368832
+0.0383229
+0.03841
+0.0376024
+0.036905
+0.0363265
+0.0358618
+0.0355112
+0.0352933
+0.0352046
+0.0352318
+0.0353948
+0.0356919
+0.0361068
+0.0366355
+0.0610859
+0.0606902
+0.0603714
+0.0601307
+0.0599692
+0.0598874
+0.0598857
+0.059964
+0.0601222
+0.0603595
+0.060675
+0.0610675
+0.0615356
+0.0620775
+0.062682
+0.06316
+0.0611151
+0.0590806
+0.0570576
+0.0550475
+0.0530517
+0.0510719
+0.04911
+0.0471683
+0.0452493
+0.043356
+0.041492
+0.0396605
+0.0378557
+0.0360934
+0.0343804
+0.0327245
+0.0311346
+0.0296216
+0.0281977
+0.0268753
+0.025663
+0.0245865
+0.0236643
+0.022902
+0.0223138
+0.0219217
+0.0214227
+0.0207708
+0.0203351
+0.0201298
+0.0200834
+0.0201894
+0.0204454
+0.0205144
+0.0203741
+0.020311
+0.02048
+0.0208469
+0.0207154
+0.0207797
+0.0210634
+0.021567
+0.0222757
+0.0231705
+0.0242248
+0.0254081
+0.0267189
+0.0281394
+0.0277606
+0.02732
+0.0270502
+0.0269563
+0.0270354
+0.0266961
+0.0263735
+0.0262305
+0.02627
+0.0264913
+0.0268898
+0.0274578
+0.0281851
+0.0290597
+0.0300688
+0.0311993
+0.0324385
+0.0334132
+0.0344479
+0.0355874
+0.0368188
+0.0381352
+0.0395293
+0.0399865
+0.0392092
+0.0385409
+0.0379873
+0.0375363
+0.0372015
+0.0369936
+0.036908
+0.036934
+0.0370895
+0.0373731
+0.0377758
+0.0382814
+0.0632206
+0.0628383
+0.0625304
+0.0622981
+0.0621422
+0.0620633
+0.0620616
+0.0621373
+0.0622899
+0.062519
+0.0628237
+0.0632029
+0.0636552
+0.0641792
+0.0647682
+0.0639598
+0.0619412
+0.0599348
+0.0579417
+0.0559634
+0.0540014
+0.0520577
+0.0501344
+0.0482339
+0.0463591
+0.044513
+0.0426932
+0.0409046
+0.039157
+0.037456
+0.0358083
+0.0342215
+0.0327045
+0.0312676
+0.0299221
+0.0286721
+0.0275391
+0.0265388
+0.0256868
+0.0249765
+0.0244383
+0.0240748
+0.0234916
+0.0228987
+0.0225042
+0.0223188
+0.0222649
+0.0223714
+0.0226173
+0.0226927
+0.022558
+0.0225002
+0.0226529
+0.0230141
+0.0229034
+0.0229617
+0.0232188
+0.0236766
+0.0243239
+0.025146
+0.0261263
+0.0272335
+0.0284604
+0.0297979
+0.0295978
+0.0291849
+0.0289325
+0.0288447
+0.0289181
+0.02851
+0.0282081
+0.0280745
+0.0281114
+0.0283183
+0.0286915
+0.0292245
+0.0299088
+0.0307344
+0.0316902
+0.0327648
+0.0339436
+0.0349238
+0.0359149
+0.0370093
+0.0381981
+0.0394691
+0.0408177
+0.0416166
+0.0408703
+0.0402296
+0.0396992
+0.0392616
+0.0389417
+0.0387431
+0.0386605
+0.0386853
+0.0388339
+0.0391048
+0.0394951
+0.0399796
+0.065359
+0.0649893
+0.0646916
+0.0644671
+0.0643165
+0.0642402
+0.0642386
+0.0643117
+0.0644592
+0.0646806
+0.0649751
+0.0653418
+0.0657795
+0.0662866
+0.066827
+0.0648237
+0.062833
+0.0608559
+0.058894
+0.0569488
+0.055022
+0.0531157
+0.0512321
+0.0493738
+0.047543
+0.0457344
+0.0439605
+0.0422257
+0.0405351
+0.0388944
+0.0373102
+0.0357901
+0.0343425
+0.032977
+0.0316984
+0.0305205
+0.0294586
+0.0285256
+0.0277299
+0.0270694
+0.0265736
+0.0262339
+0.0255807
+0.0250373
+0.0246771
+0.0245081
+0.024448
+0.0245548
+0.0247924
+0.0248732
+0.0247377
+0.0246897
+0.0248289
+0.0251589
+0.0250918
+0.0251452
+0.0253802
+0.0257997
+0.026395
+0.0271544
+0.0280647
+0.0291094
+0.0302603
+0.0315216
+0.0314802
+0.0310924
+0.0308555
+0.0307732
+0.0308103
+0.0303736
+0.0300904
+0.0299652
+0.0299998
+0.0301937
+0.030544
+0.0310452
+0.0316903
+0.0324706
+0.0333767
+0.0343987
+0.0355187
+0.0365033
+0.0374527
+0.0385034
+0.0396474
+0.0408769
+0.0421806
+0.0432962
+0.0425793
+0.0419647
+0.0414512
+0.0410314
+0.0407253
+0.0405355
+0.0404558
+0.0404795
+0.0406215
+0.0408805
+0.0412545
+0.0417238
+0.0675008
+0.0671428
+0.0668548
+0.0666375
+0.0664918
+0.066418
+0.0664165
+0.0664872
+0.0666299
+0.0668441
+0.0671291
+0.0674841
+0.0679079
+0.0683994
+0.0677253
+0.0657494
+0.0637875
+0.061841
+0.0599113
+0.0580002
+0.0561095
+0.0542415
+0.0523984
+0.0505774
+0.0487828
+0.0470219
+0.0452984
+0.0436168
+0.0419822
+0.0404004
+0.0388776
+0.0374212
+0.0360392
+0.0347373
+0.033523
+0.0324115
+0.0314136
+0.0305404
+0.0297904
+0.0291766
+0.0287172
+0.0283478
+0.0276856
+0.0271843
+0.0268529
+0.0266881
+0.0266324
+0.0267395
+0.0269701
+0.0270434
+0.0269188
+0.0268793
+0.0270073
+0.027311
+0.0272806
+0.0273299
+0.0275463
+0.0279333
+0.028484
+0.0291891
+0.0300378
+0.0310183
+0.0321088
+0.0333001
+0.0333975
+0.0330322
+0.0328094
+0.032732
+0.0326896
+0.0322783
+0.032012
+0.0318943
+0.0319268
+0.0321091
+0.0324387
+0.0329111
+0.0335203
+0.0342589
+0.0351189
+0.0360916
+0.0371562
+0.0381434
+0.0390529
+0.0400616
+0.0411624
+0.0423479
+0.043611
+0.0449396
+0.0443307
+0.0437408
+0.0432423
+0.0428401
+0.0425471
+0.0423654
+0.0422884
+0.042311
+0.0424469
+0.0426949
+0.043053
+0.0435084
+0.0696455
+0.0692987
+0.0690196
+0.0688092
+0.0686681
+0.0685967
+0.0685952
+0.0686636
+0.0688018
+0.0690093
+0.0692854
+0.0696294
+0.0700403
+0.0705168
+0.0686817
+0.0667341
+0.0648021
+0.0628869
+0.0609904
+0.0591142
+0.0572603
+0.0554301
+0.053619
+0.0518372
+0.0500877
+0.0483743
+0.0467007
+0.0450715
+0.0434917
+0.0419667
+0.0405029
+0.0391071
+0.0377859
+0.0365416
+0.0353892
+0.0343381
+0.0333978
+0.0325779
+0.0318683
+0.0312953
+0.0308675
+0.030419
+0.0298028
+0.0293377
+0.0290309
+0.0288692
+0.0288178
+0.0289251
+0.0291498
+0.0292152
+0.0290999
+0.0290692
+0.0291876
+0.0294688
+0.0294697
+0.0295155
+0.0297159
+0.030075
+0.0305872
+0.0312449
+0.0320392
+0.0329602
+0.0339976
+0.0351253
+0.0353466
+0.0350016
+0.0347914
+0.0347185
+0.0346055
+0.0342172
+0.0339662
+0.0338552
+0.0338859
+0.0340577
+0.0343686
+0.0348148
+0.0353912
+0.0360916
+0.036909
+0.0378338
+0.0388482
+0.0398259
+0.0406978
+0.0416668
+0.0427262
+0.0438695
+0.0450903
+0.0463825
+0.0461197
+0.0455529
+0.0450688
+0.044683
+0.0444021
+0.0442281
+0.0441536
+0.0441753
+0.0443054
+0.0445431
+0.0448865
+0.0453285
+0.0717931
+0.0714566
+0.0711861
+0.0709821
+0.0708453
+0.0707761
+0.0707746
+0.070841
+0.0709749
+0.071176
+0.0714438
+0.0717774
+0.0721761
+0.071628
+0.0696939
+0.0677754
+0.0658739
+0.0639908
+0.062128
+0.0602872
+0.0584656
+0.0566667
+0.0548964
+0.0531574
+0.0514528
+0.0497864
+0.0481619
+0.0465838
+0.045057
+0.0435869
+0.0421794
+0.0408408
+0.0395724
+0.038386
+0.0372907
+0.0362947
+0.0354064
+0.0346281
+0.0339604
+0.0334233
+0.0330226
+0.0325058
+0.03193
+0.0314963
+0.0312107
+0.0310516
+0.0310038
+0.0311106
+0.0313206
+0.0313887
+0.0312814
+0.0312591
+0.0313692
+0.0316311
+0.031659
+0.0317017
+0.0318884
+0.0322233
+0.0327019
+0.0333179
+0.0340638
+0.0349315
+0.035912
+0.0369902
+0.0373225
+0.0369959
+0.0367971
+0.0367282
+0.036548
+0.0361806
+0.0359433
+0.0358385
+0.0358674
+0.0360298
+0.0363238
+0.0367463
+0.0372929
+0.0379582
+0.0387362
+0.0396181
+0.040588
+0.0415509
+0.0423874
+0.0433185
+0.0443385
+0.0454413
+0.0466209
+0.0478718
+0.0479421
+0.0473953
+0.0469264
+0.0465561
+0.0462865
+0.0461196
+0.0460474
+0.0460683
+0.0461931
+0.046421
+0.0467507
+0.0471795
+0.0739432
+0.0736166
+0.0733539
+0.073156
+0.0730233
+0.0729561
+0.0729547
+0.0730191
+0.073149
+0.0733442
+0.0736041
+0.073928
+0.0743151
+0.0726652
+0.0707594
+0.0688706
+0.0670002
+0.0651497
+0.0633201
+0.0615072
+0.0597196
+0.0579597
+0.0562301
+0.0545336
+0.0528735
+0.0512532
+0.0496768
+0.0481484
+0.0466728
+0.0452552
+0.0439011
+0.0426129
+0.0413978
+0.0402652
+0.0392224
+0.0382767
+0.0374355
+0.0366936
+0.0360642
+0.0355589
+0.0351794
+0.0346055
+0.0340652
+0.033659
+0.0333919
+0.0332352
+0.0331905
+0.0332903
+0.0334938
+0.0335644
+0.033464
+0.0334492
+0.0335521
+0.033797
+0.0338485
+0.0338886
+0.0340633
+0.034377
+0.034826
+0.035405
+0.0361079
+0.0369276
+0.0378564
+0.0388866
+0.0393212
+0.0390113
+0.0388229
+0.0387575
+0.038517
+0.0381686
+0.0379436
+0.0378444
+0.0378718
+0.0380256
+0.0383043
+0.0387052
+0.0392245
+0.0398576
+0.0405992
+0.0414415
+0.0423697
+0.043318
+0.044121
+0.0450163
+0.0459987
+0.0470625
+0.0482025
+0.0494134
+0.0497941
+0.0492626
+0.0488117
+0.0484558
+0.0481969
+0.0480366
+0.0479666
+0.0479866
+0.0481064
+0.0483254
+0.0486421
+0.0490547
+0.0760956
+0.0757783
+0.0755232
+0.0753309
+0.075202
+0.0751368
+0.0751355
+0.075198
+0.0753241
+0.0755137
+0.0757661
+0.0760808
+0.0756466
+0.0737528
+0.0718759
+0.0700172
+0.0681783
+0.0663562
+0.0645543
+0.062777
+0.0610266
+0.0593055
+0.0576163
+0.0559618
+0.0543454
+0.0527703
+0.0512405
+0.0497602
+0.0483338
+0.0469664
+0.0456612
+0.0444214
+0.0432571
+0.0421745
+0.0411801
+0.0402804
+0.0394807
+0.0387729
+0.0381778
+0.0377008
+0.037333
+0.0367158
+0.036207
+0.0358251
+0.0355743
+0.0354196
+0.0353777
+0.0354713
+0.0356692
+0.0357419
+0.0356476
+0.0356393
+0.0357359
+0.035966
+0.0360381
+0.0360759
+0.0362401
+0.0365351
+0.0369579
+0.037504
+0.0381683
+0.0389446
+0.0398264
+0.0408069
+0.0413393
+0.0410447
+0.0408498
+0.0406509
+0.0405087
+0.0401776
+0.039964
+0.0398697
+0.0398958
+0.0400418
+0.0403065
+0.0406877
+0.041182
+0.0417855
+0.0424934
+0.0432989
+0.0441881
+0.0451223
+0.0458937
+0.0467551
+0.0477017
+0.0487284
+0.0498303
+0.0510025
+0.0516726
+0.0511556
+0.0507216
+0.0503791
+0.0501301
+0.0499761
+0.0499081
+0.0499273
+0.0500425
+0.050253
+0.0505577
+0.0509548
+0.0782501
+0.0779415
+0.0776936
+0.0775067
+0.0773814
+0.0773181
+0.0773168
+0.0773775
+0.0775001
+0.0776843
+0.0779297
+0.0782357
+0.0767546
+0.0748888
+0.0730411
+0.071212
+0.0693978
+0.0676059
+0.0658381
+0.0640965
+0.0623831
+0.0607005
+0.0590512
+0.0574381
+0.0558643
+0.0543334
+0.0528488
+0.0514148
+0.0500357
+0.0487157
+0.0474546
+0.0462629
+0.0451461
+0.0441099
+0.0431601
+0.0423025
+0.041536
+0.0408638
+0.0402996
+0.039848
+0.0394317
+0.038835
+0.0383543
+0.037994
+0.0377576
+0.0376048
+0.0375653
+0.0376535
+0.0378463
+0.0379209
+0.0378321
+0.0378295
+0.0379205
+0.0381374
+0.0382278
+0.0382636
+0.0384184
+0.0386969
+0.0390962
+0.0396129
+0.0402424
+0.0409794
+0.0418184
+0.0427532
+0.0433543
+0.042944
+0.0426425
+0.042452
+0.0423741
+0.0422047
+0.0420013
+0.0419117
+0.0419365
+0.0420754
+0.0423275
+0.0426906
+0.0431619
+0.0437381
+0.0444149
+0.0451862
+0.0460389
+0.0469595
+0.0477012
+0.0485305
+0.0494431
+0.0504343
+0.0514998
+0.0526348
+0.0535749
+0.0530715
+0.0526533
+0.0523235
+0.0520838
+0.0519355
+0.0518695
+0.051888
+0.0519988
+0.0522015
+0.0524948
+0.0528774
+0.0804066
+0.0801063
+0.0798651
+0.0796833
+0.0795615
+0.0794999
+0.0794986
+0.0795576
+0.0796769
+0.0798561
+0.0800949
+0.0797637
+0.0779084
+0.0760709
+0.0742486
+0.0724442
+0.0706616
+0.0689026
+0.0671689
+0.0654627
+0.0637861
+0.0621414
+0.0605314
+0.0589588
+0.0574267
+0.0559385
+0.0544978
+0.0531083
+0.0517743
+0.0504957
+0.0492801
+0.0481336
+0.0470613
+0.0460682
+0.0451596
+0.0443407
+0.0436045
+0.0429647
+0.0424284
+0.0419997
+0.0415279
+0.0409618
+0.0405063
+0.0401653
+0.0399418
+0.0397906
+0.0397533
+0.0398366
+0.0400249
+0.0401011
+0.0400172
+0.0400197
+0.0401058
+0.0403109
+0.0404177
+0.0404516
+0.0405981
+0.0408617
+0.0412401
+0.0417303
+0.0423282
+0.0430296
+0.0438293
+0.0447221
+0.0451539
+0.0447601
+0.0444709
+0.0442883
+0.0442136
+0.0442474
+0.0440535
+0.043968
+0.0439916
+0.0441241
+0.0443645
+0.0447111
+0.0451614
+0.0457123
+0.0463603
+0.0470997
+0.0479184
+0.0488218
+0.0495396
+0.0503386
+0.051219
+0.0521765
+0.0532071
+0.0543065
+0.0554707
+0.055008
+0.0546045
+0.0542866
+0.0540556
+0.0539127
+0.0538486
+0.0538664
+0.0539732
+0.0541684
+0.0544512
+0.0548201
+0.0825649
+0.0822725
+0.0820376
+0.0818607
+0.0817421
+0.0816821
+0.0816808
+0.0817383
+0.0818544
+0.0820289
+0.0822613
+0.0809339
+0.0791052
+0.07729
+0.0754947
+0.0737208
+0.0719699
+0.0702436
+0.0685439
+0.0668728
+0.0652324
+0.0636252
+0.0620536
+0.0605206
+0.0590291
+0.0575823
+0.0561837
+0.054837
+0.0535433
+0.0523068
+0.0511344
+0.0500304
+0.0489995
+0.0480465
+0.0471761
+0.0463902
+0.0456844
+0.0450741
+0.0445632
+0.0441553
+0.0436334
+0.0430949
+0.0426622
+0.0423386
+0.0421262
+0.0419768
+0.0419415
+0.0420205
+0.0422047
+0.0422825
+0.0422029
+0.04221
+0.0422916
+0.0424862
+0.0426076
+0.0426399
+0.0427789
+0.0430291
+0.0433887
+0.0438548
+0.0444242
+0.0450929
+0.0458567
+0.0467107
+0.0469867
+0.0466085
+0.0463308
+0.0461555
+0.0460838
+0.0461162
+0.0461183
+0.0460367
+0.0460592
+0.0461858
+0.0464155
+0.0467469
+0.0471778
+0.0477054
+0.0483267
+0.0490365
+0.0498234
+0.0506928
+0.0514056
+0.0521761
+0.0530259
+0.0539514
+0.0549487
+0.0560139
+0.0571433
+0.0569628
+0.0565733
+0.0562665
+0.0560437
+0.0559059
+0.0558434
+0.0558606
+0.0559636
+0.0561519
+0.0564247
+0.0567808
+0.0928204
+0.0915318
+0.0902774
+0.0890284
+0.0878077
+0.0862525
+0.0845063
+0.0827813
+0.0810787
+0.0794
+0.0777469
+0.0761208
+0.0745238
+0.0729575
+0.0714241
+0.0699257
+0.0684646
+0.0670433
+0.0656643
+0.0643303
+0.0630443
+0.0618022
+0.0606134
+0.0594815
+0.05841
+0.057402
+0.0564611
+0.0555907
+0.0547941
+0.0540745
+0.0534351
+0.0528788
+0.0524083
+0.0520258
+0.051721
+0.051502
+0.0513756
+0.0513424
+0.0514026
+0.0515559
+0.0518015
+0.0521381
+0.0525631
+0.0530585
+0.0536388
+0.0540039
+0.0543638
+0.0547867
+0.0552933
+0.0558811
+0.0565478
+0.0572906
+0.0581065
+0.0589925
+0.0599455
+0.0609486
+0.0619285
+0.0629331
+0.063997
+0.0630639
+0.0620112
+0.061019
+0.0600903
+0.0592282
+0.0584355
+0.0577151
+0.0570697
+0.056502
+0.0560142
+0.0556085
+0.0552867
+0.0550503
+0.0549004
+0.0548376
+0.0548623
+0.0549591
+0.0551412
+0.0554094
+0.0557624
+0.0561986
+0.0567162
+0.0572983
+0.05791
+0.0585792
+0.0593218
+0.0601351
+0.0610162
+0.0619623
+0.0629476
+0.0639346
+0.0649262
+0.0659727
+0.0670744
+0.0682287
+0.0694274
+0.0706674
+0.0719457
+0.0732672
+0.0746296
+0.0760308
+0.091233
+0.0899216
+0.088645
+0.087404
+0.086168
+0.0849609
+0.0834076
+0.0816593
+0.0799328
+0.0782296
+0.0765511
+0.0748992
+0.0732755
+0.0716819
+0.0701206
+0.0685938
+0.0671037
+0.0656529
+0.0642441
+0.06288
+0.0615637
+0.0602911
+0.0590719
+0.0579099
+0.0568087
+0.0557718
+0.054803
+0.0539058
+0.0530838
+0.0523408
+0.0516799
+0.0511045
+0.0506175
+0.0502214
+0.0499056
+0.0496786
+0.0495475
+0.0495131
+0.0495755
+0.0497345
+0.049989
+0.0503377
+0.0507778
+0.0512904
+0.0517704
+0.0521015
+0.0524706
+0.0529086
+0.053433
+0.0540411
+0.0547302
+0.0554973
+0.0563391
+0.0572525
+0.0582287
+0.0591924
+0.060164
+0.0611976
+0.0622706
+0.0615836
+0.0605052
+0.0594879
+0.0585349
+0.0576495
+0.0568348
+0.0560938
+0.0554296
+0.0548449
+0.0543422
+0.053924
+0.0535921
+0.0533481
+0.0531934
+0.0531286
+0.0531541
+0.0532526
+0.0534405
+0.0537172
+0.0540812
+0.0545309
+0.0550602
+0.05564
+0.0562509
+0.0569396
+0.0577033
+0.0585391
+0.0594439
+0.0604085
+0.0613405
+0.0622998
+0.0633138
+0.0643865
+0.0655149
+0.0666919
+0.0679049
+0.0691648
+0.0704704
+0.0718191
+0.0732084
+0.0745821
+0.089671
+0.0883365
+0.0870366
+0.085773
+0.0845464
+0.0833229
+0.0821305
+0.0805813
+0.0788312
+0.0771036
+0.0754001
+0.0737224
+0.0720722
+0.0704514
+0.0688622
+0.0673068
+0.0657876
+0.0643071
+0.0628682
+0.0614736
+0.0601265
+0.0588227
+0.0575725
+0.0563796
+0.0552479
+0.0541812
+0.0531833
+0.0522583
+0.0514101
+0.0506424
+0.0499592
+0.0493637
+0.0488593
+0.0484488
+0.0481214
+0.047886
+0.0477499
+0.0477142
+0.047779
+0.0479439
+0.0482079
+0.0485694
+0.0490254
+0.0495561
+0.049879
+0.0502225
+0.0506014
+0.0510555
+0.0515986
+0.0522281
+0.0529408
+0.0537334
+0.0546025
+0.0555444
+0.056485
+0.057422
+0.0584262
+0.0594751
+0.060569
+0.060146
+0.0590413
+0.0579984
+0.0570205
+0.0561112
+0.0552738
+0.0545116
+0.0538279
+0.0532256
+0.0527075
+0.0522762
+0.0519338
+0.051682
+0.0515222
+0.0514553
+0.0514814
+0.0515827
+0.0517767
+0.0520622
+0.0524377
+0.0529014
+0.0534327
+0.054
+0.0546293
+0.0553382
+0.0561237
+0.0569826
+0.0579117
+0.0587952
+0.0597169
+0.0606967
+0.0617371
+0.0628359
+0.063984
+0.0651725
+0.066412
+0.0676998
+0.0690331
+0.0704093
+0.0717754
+0.0731171
+0.0881357
+0.0867776
+0.085454
+0.0841667
+0.0829172
+0.0817064
+0.0804963
+0.0792988
+0.0777757
+0.0760241
+0.0742959
+0.0725926
+0.0709161
+0.0692683
+0.0676514
+0.0660675
+0.0645191
+0.0630088
+0.0615395
+0.0601141
+0.0587358
+0.0574005
+0.0561185
+0.0548941
+0.0537311
+0.0526336
+0.0516059
+0.0506521
+0.0497765
+0.0489832
+0.0482765
+0.04766
+0.0471374
+0.0467118
+0.0463721
+0.0461277
+0.0459865
+0.0459494
+0.0460167
+0.0461879
+0.0464619
+0.0468368
+0.0473079
+0.0477541
+0.048013
+0.0483698
+0.0487589
+0.04923
+0.0497931
+0.0504451
+0.0511827
+0.0520021
+0.0528996
+0.0538197
+0.0547147
+0.0556815
+0.056711
+0.0577742
+0.0588997
+0.058755
+0.0576236
+0.0565545
+0.0555513
+0.0546175
+0.0537569
+0.0529729
+0.052269
+0.0516485
+0.0511144
+0.0506696
+0.0503162
+0.0500563
+0.0498913
+0.0498222
+0.0498484
+0.0499531
+0.0501534
+0.050448
+0.0508355
+0.0513035
+0.0518342
+0.0524003
+0.0530486
+0.0537783
+0.0545863
+0.055469
+0.0563053
+0.0571833
+0.0581268
+0.059128
+0.060189
+0.0613099
+0.0624743
+0.063691
+0.0649588
+0.0662748
+0.0676362
+0.0689937
+0.0703202
+0.0716891
+0.0866182
+0.0852465
+0.0838988
+0.0825872
+0.0813135
+0.0800795
+0.0788858
+0.0776905
+0.0764877
+0.0749931
+0.0732406
+0.0715122
+0.0698097
+0.0681352
+0.0664907
+0.0648784
+0.0633009
+0.0617609
+0.0602611
+0.0588048
+0.0573951
+0.0560278
+0.0547137
+0.0534571
+0.0522621
+0.0511332
+0.0500746
+0.0490911
+0.0481871
+0.0473673
+0.046636
+0.0459976
+0.0454558
+0.0450143
+0.0446617
+0.0444079
+0.0442612
+0.0442227
+0.0442926
+0.0444705
+0.044755
+0.0451441
+0.0456252
+0.0459063
+0.0461756
+0.0465465
+0.0469464
+0.0474355
+0.0480196
+0.0486954
+0.049459
+0.0503066
+0.0512031
+0.0520509
+0.0529757
+0.0539737
+0.0550119
+0.0561073
+0.0572656
+0.0573883
+0.0562498
+0.0551599
+0.0541308
+0.0531721
+0.0522877
+0.0514813
+0.0507568
+0.0501176
+0.049567
+0.0491081
+0.0487434
+0.0484751
+0.0483047
+0.0482334
+0.0482597
+0.0483678
+0.0485746
+0.0488788
+0.0492773
+0.0497331
+0.0502636
+0.0508447
+0.0515126
+0.0522637
+0.0530947
+0.053877
+0.0547062
+0.0556047
+0.0565621
+0.0575871
+0.0586759
+0.0598148
+0.0610059
+0.0622513
+0.0635479
+0.0648925
+0.0662401
+0.0675496
+0.0689039
+0.0703004
+0.0851194
+0.0837339
+0.0823725
+0.0810362
+0.0797377
+0.0784789
+0.0772617
+0.0760843
+0.0749068
+0.0736997
+0.0722363
+0.0704832
+0.0687553
+0.0670545
+0.0653827
+0.0637425
+0.0621362
+0.0605665
+0.0590364
+0.0575491
+0.0561078
+0.0547084
+0.0533618
+0.0520726
+0.0508451
+0.049684
+0.0485939
+0.0475797
+0.0466465
+0.0457991
+0.0450424
+0.044381
+0.0438193
+0.0433611
+0.0429946
+0.0427309
+0.0425784
+0.0425384
+0.042611
+0.0427959
+0.0430914
+0.0434955
+0.043906
+0.04409
+0.0443702
+0.0447561
+0.0451674
+0.0456756
+0.0462819
+0.0469827
+0.0477737
+0.0486431
+0.0494377
+0.0503152
+0.0512714
+0.0522873
+0.0533487
+0.0544775
+0.055669
+0.0560678
+0.0549019
+0.0537999
+0.0527631
+0.0517791
+0.0508705
+0.0500413
+0.0492955
+0.0486371
+0.0480696
+0.0475963
+0.0472199
+0.0469429
+0.046767
+0.0466932
+0.0467197
+0.0468314
+0.0470449
+0.0473589
+0.0477365
+0.0482068
+0.0487383
+0.0493374
+0.0500253
+0.0507985
+0.0515081
+0.0522832
+0.0531373
+0.0540521
+0.0550366
+0.0560894
+0.0571995
+0.0583618
+0.0595819
+0.0608565
+0.0621821
+0.0635182
+0.0648087
+0.0661465
+0.067529
+0.0689504
+0.0836328
+0.0822455
+0.0808655
+0.0795153
+0.0781916
+0.0769075
+0.075665
+0.0744663
+0.0732967
+0.0721402
+0.0709374
+0.069507
+0.0677554
+0.0660287
+0.0643304
+0.0626626
+0.0610279
+0.0594289
+0.0578688
+0.0563506
+0.0548779
+0.0534463
+0.0520671
+0.050745
+0.0494846
+0.0482907
+0.0471684
+0.0461229
+0.0451596
+0.0442837
+0.0435007
+0.0428155
+0.042233
+0.0417574
+0.041375
+0.0411009
+0.0409423
+0.0409006
+0.0409762
+0.0411684
+0.0414756
+0.0418925
+0.0421196
+0.0423091
+0.0426011
+0.0430028
+0.0434261
+0.0439544
+0.0445841
+0.0453112
+0.0461309
+0.0468837
+0.0477076
+0.0486163
+0.0496053
+0.0506293
+0.0517247
+0.0528883
+0.0541041
+0.0548031
+0.0536097
+0.0524806
+0.0514201
+0.0504325
+0.0495096
+0.0486572
+0.04789
+0.047212
+0.0466271
+0.046139
+0.0457506
+0.0454647
+0.045283
+0.0452068
+0.0452333
+0.0453487
+0.0455652
+0.0458587
+0.0462444
+0.0467299
+0.0472653
+0.0478828
+0.0485914
+0.0492204
+0.0499348
+0.0507339
+0.051606
+0.052545
+0.0535571
+0.0546347
+0.0557644
+0.0569559
+0.0582055
+0.0595096
+0.0608324
+0.0621014
+0.0634206
+0.0647872
+0.0661945
+0.0676148
+0.0821733
+0.0807609
+0.0793839
+0.0780146
+0.0766767
+0.075367
+0.0740986
+0.0728741
+0.0716957
+0.0705351
+0.0693998
+0.0682039
+0.0668048
+0.0650601
+0.0633363
+0.0616417
+0.0599791
+0.0583515
+0.0567617
+0.0552131
+0.0537092
+0.0522456
+0.0508338
+0.0494787
+0.0481852
+0.0469583
+0.0458034
+0.044726
+0.0437319
+0.0428269
+0.0420167
+0.0413069
+0.0407028
+0.0402091
+0.03981
+0.0395251
+0.0393602
+0.0393168
+0.0393954
+0.0395953
+0.0399145
+0.0401997
+0.0403731
+0.0405683
+0.0408727
+0.0412867
+0.0417271
+0.0422766
+0.042931
+0.0436856
+0.0443989
+0.045162
+0.0460167
+0.0469582
+0.0479559
+0.0490132
+0.050144
+0.0513347
+0.052584
+0.0535981
+0.0523773
+0.051221
+0.0501338
+0.0491204
+0.0481845
+0.0473279
+0.0465451
+0.0458472
+0.0452447
+0.0447415
+0.0443409
+0.0440458
+0.0438582
+0.0437796
+0.0437902
+0.0439018
+0.0441086
+0.0444116
+0.0448099
+0.0453029
+0.0458497
+0.0464732
+0.0470255
+0.0476723
+0.0484096
+0.0492298
+0.0501155
+0.0510799
+0.052118
+0.0532122
+0.0543716
+0.0555931
+0.0568697
+0.0581875
+0.0594322
+0.0607305
+0.0620789
+0.0634701
+0.0648844
+0.0663208
+0.0807469
+0.0793091
+0.0779064
+0.0765406
+0.075183
+0.0738561
+0.0725616
+0.0713103
+0.0701051
+0.0689485
+0.0678025
+0.0666747
+0.065503
+0.0641385
+0.0623965
+0.0606825
+0.0589931
+0.0573375
+0.0557188
+0.0541404
+0.0526013
+0.0511055
+0.0496613
+0.0482734
+0.0469467
+0.0456865
+0.0444986
+0.0433888
+0.0423634
+0.0414285
+0.0405904
+0.0398552
+0.0392287
+0.0387162
+0.0383064
+0.0380102
+0.0378387
+0.0377936
+0.0378754
+0.0380832
+0.0383453
+0.0384825
+0.0386564
+0.0388728
+0.0391904
+0.0396078
+0.0400759
+0.0406477
+0.0413279
+0.0419958
+0.0426895
+0.0434825
+0.0443696
+0.0453366
+0.0463501
+0.0474432
+0.0486051
+0.0498264
+0.0511126
+0.0524551
+0.0512089
+0.0500257
+0.048912
+0.0478726
+0.0469127
+0.0460348
+0.0452436
+0.0445449
+0.0439251
+0.0434066
+0.0429936
+0.0426891
+0.0424956
+0.0423977
+0.0423999
+0.0425012
+0.0427147
+0.0430276
+0.0434385
+0.0439173
+0.0444669
+0.0449372
+0.0455082
+0.0461762
+0.0469246
+0.0477527
+0.0486653
+0.0496563
+0.0507082
+0.0518309
+0.0530205
+0.0542724
+0.0555788
+0.0568066
+0.0580809
+0.0594087
+0.0607814
+0.0621884
+0.0636103
+0.0650748
+0.0792333
+0.0778918
+0.0764631
+0.0750711
+0.073718
+0.0723705
+0.071058
+0.0697798
+0.0685477
+0.0673643
+0.0662323
+0.0651027
+0.0639827
+0.0628387
+0.0615126
+0.0597744
+0.0580667
+0.0563904
+0.0547437
+0.053134
+0.0515607
+0.0500338
+0.0485577
+0.0471373
+0.0457777
+0.0444844
+0.0432635
+0.0421212
+0.0410641
+0.0400989
+0.0392324
+0.0384713
+0.0378219
+0.0372901
+0.0368717
+0.0365638
+0.0363855
+0.0363386
+0.0364237
+0.0365839
+0.0366618
+0.0368155
+0.0369867
+0.0372143
+0.0375459
+0.0379802
+0.0384786
+0.0390738
+0.0396863
+0.0403035
+0.0410258
+0.0418503
+0.0427713
+0.0437444
+0.0447939
+0.0459221
+0.0471112
+0.0483703
+0.0496914
+0.0510534
+0.0501092
+0.0488993
+0.0477593
+0.0466944
+0.0457097
+0.0448105
+0.0439984
+0.0432809
+0.0426468
+0.0421125
+0.0416867
+0.0413726
+0.0411729
+0.0410771
+0.0410649
+0.0411694
+0.0413898
+0.0417021
+0.0421104
+0.0425615
+0.0429628
+0.0434574
+0.0440476
+0.0447154
+0.0454782
+0.0463321
+0.047269
+0.0482731
+0.049354
+0.0505069
+0.0517269
+0.0529974
+0.0542279
+0.055475
+0.0567792
+0.0581336
+0.0595313
+0.0609367
+0.0623871
+0.0638796
+0.0777335
+0.0763862
+0.075056
+0.0736375
+0.0722575
+0.0709183
+0.0695824
+0.0682852
+0.0670257
+0.0658149
+0.0646558
+0.0635464
+0.0624399
+0.0613272
+0.0602141
+0.0589326
+0.0571999
+0.0554993
+0.0538247
+0.0521871
+0.0505913
+0.0490366
+0.0475296
+0.0460774
+0.0446856
+0.0433598
+0.0421063
+0.0409317
+0.039843
+0.0388475
+0.0379524
+0.0371651
+0.0364925
+0.035941
+0.0354902
+0.0351702
+0.0349848
+0.034936
+0.0349933
+0.0349536
+0.0350344
+0.0352059
+0.035374
+0.0356122
+0.0359586
+0.0364118
+0.0368687
+0.0374151
+0.0380204
+0.0386613
+0.0394136
+0.0402712
+0.0412068
+0.0422058
+0.0432927
+0.0444461
+0.0456736
+0.0469696
+0.0483089
+0.0497087
+0.0490826
+0.0478468
+0.0466811
+0.045591
+0.0445819
+0.0436595
+0.042829
+0.0420916
+0.0414358
+0.0408857
+0.0404469
+0.0401232
+0.0399172
+0.0398084
+0.0397958
+0.0399037
+0.0401236
+0.0404455
+0.0406705
+0.0409958
+0.0414346
+0.0419781
+0.0425888
+0.0433018
+0.0440927
+0.0449681
+0.045918
+0.046951
+0.0480426
+0.0491884
+0.0504034
+0.0516826
+0.0529092
+0.0541866
+0.0555211
+0.0569086
+0.0583052
+0.0597391
+0.0612178
+0.0627382
+0.0762572
+0.0748932
+0.0735594
+0.0722418
+0.0708346
+0.0694681
+0.0681444
+0.0668215
+0.0655415
+0.0643029
+0.0631159
+0.0619837
+0.0608943
+0.0598187
+0.058715
+0.0576261
+0.0564048
+0.0546794
+0.0529786
+0.0513139
+0.0496901
+0.0481113
+0.0465818
+0.0450992
+0.0436761
+0.0423187
+0.0410334
+0.0398272
+0.0387075
+0.037682
+0.0367586
+0.0359451
+0.0352492
+0.034661
+0.0341933
+0.0338611
+0.0336685
+0.033536
+0.0334291
+0.0333875
+0.0334714
+0.0336621
+0.0338264
+0.0340756
+0.0344374
+0.0347731
+0.0352159
+0.0357876
+0.036407
+0.0370758
+0.0378596
+0.0387509
+0.0396909
+0.040727
+0.0418407
+0.043031
+0.0442853
+0.0455963
+0.0469728
+0.0484095
+0.0481339
+0.0468731
+0.0456826
+0.044568
+0.0435352
+0.0425902
+0.0417388
+0.0409826
+0.0403075
+0.0397418
+0.0392903
+0.0389569
+0.0387348
+0.0386192
+0.0386062
+0.0387174
+0.0387484
+0.0388626
+0.0390803
+0.0394188
+0.0398749
+0.0404435
+0.041077
+0.041806
+0.0426229
+0.0435349
+0.0445361
+0.045588
+0.0466913
+0.0478695
+0.0491169
+0.0504032
+0.0516497
+0.0529575
+0.0543222
+0.0557195
+0.0571364
+0.0585989
+0.0601057
+0.0616535
+0.0747999
+0.0734235
+0.0720734
+0.0707553
+0.0694517
+0.0680574
+0.0667059
+0.0653962
+0.0640915
+0.0628308
+0.0616155
+0.0604552
+0.0593531
+0.0582862
+0.0572187
+0.0560959
+0.0549964
+0.0539361
+0.0522107
+0.0505208
+0.0488706
+0.0472644
+0.0457067
+0.0442028
+0.0427552
+0.0413675
+0.0400517
+0.038815
+0.0376652
+0.0366105
+0.0356594
+0.0348203
+0.0340942
+0.0334755
+0.032991
+0.0326435
+0.0322715
+0.0320453
+0.0319386
+0.0318951
+0.0319821
+0.0321933
+0.0323531
+0.0326138
+0.0328329
+0.0331572
+0.0336213
+0.0342196
+0.0348567
+0.0355546
+0.0363713
+0.0372638
+0.0382403
+0.0393068
+0.0404526
+0.041654
+0.0429335
+0.0442845
+0.0457006
+0.0471757
+0.0472678
+0.0459832
+0.044769
+0.0436312
+0.0425756
+0.0416088
+0.0407369
+0.0399618
+0.0392691
+0.0386882
+0.0382243
+0.03788
+0.0376376
+0.0375203
+0.0372848
+0.0371758
+0.0371896
+0.0373135
+0.0375506
+0.0379027
+0.0383768
+0.0389623
+0.0396195
+0.0403718
+0.0412172
+0.0421596
+0.0431926
+0.0442702
+0.0454055
+0.0466158
+0.047883
+0.0491772
+0.050454
+0.051792
+0.0531866
+0.0545833
+0.0560289
+0.0575196
+0.0590539
+0.0606286
+0.073317
+0.0719759
+0.070612
+0.0692766
+0.0679768
+0.0666889
+0.065309
+0.0639745
+0.0626806
+0.0613964
+0.0601575
+0.0589685
+0.0578381
+0.0567698
+0.0556519
+0.0545518
+0.053447
+0.0523809
+0.0513796
+0.0498114
+0.0481369
+0.0465053
+0.0449214
+0.0433902
+0.0419177
+0.0405101
+0.0391672
+0.0379016
+0.0367232
+0.0356407
+0.0346629
+0.0337964
+0.0330273
+0.0323883
+0.0317966
+0.0312617
+0.0308731
+0.0306366
+0.0305311
+0.0304871
+0.0305773
+0.0308104
+0.0309648
+0.0310675
+0.0312589
+0.0315993
+0.032086
+0.0327124
+0.0333782
+0.0341064
+0.0349352
+0.0358413
+0.0368556
+0.0379344
+0.0390912
+0.040333
+0.0416532
+0.0430444
+0.0444971
+0.0459948
+0.0464888
+0.0451821
+0.0439458
+0.042786
+0.0417092
+0.0407217
+0.0398305
+0.0390373
+0.0383279
+0.0377326
+0.0372567
+0.0368706
+0.0363921
+0.0360224
+0.0357757
+0.0356621
+0.0356779
+0.0358069
+0.0360687
+0.0364374
+0.0369303
+0.0375448
+0.0382283
+0.039008
+0.0398823
+0.0408555
+0.0419207
+0.0430236
+0.0441905
+0.0454196
+0.0467186
+0.0480199
+0.0493266
+0.0506944
+0.0520882
+0.0535127
+0.0549864
+0.0565046
+0.0580658
+0.0596577
+0.0718702
+0.0705016
+0.0691754
+0.0678255
+0.0665063
+0.0652271
+0.0639567
+0.0625933
+0.0612779
+0.0600022
+0.058741
+0.0575268
+0.0563675
+0.0552707
+0.05412
+0.0529967
+0.0519114
+0.0508414
+0.0498175
+0.0488574
+0.047493
+0.0458385
+0.0442307
+0.0426748
+0.0411766
+0.0397429
+0.0383731
+0.0370804
+0.0358751
+0.0347661
+0.033763
+0.0328636
+0.0320013
+0.0311943
+0.0305222
+0.0299765
+0.029571
+0.0292625
+0.0290881
+0.0290722
+0.0292098
+0.0294895
+0.0294933
+0.0295619
+0.029763
+0.0301203
+0.0306305
+0.0312861
+0.0319815
+0.0327253
+0.0335481
+0.0344907
+0.0355081
+0.0366112
+0.0378076
+0.0390903
+0.040451
+0.0418748
+0.0433035
+0.0447769
+0.0458015
+0.0444746
+0.0432181
+0.0420382
+0.0409417
+0.0399353
+0.039026
+0.0382162
+0.0374096
+0.0366216
+0.035926
+0.0353516
+0.0349055
+0.034584
+0.0343269
+0.0342085
+0.0342302
+0.034374
+0.0346467
+0.035037
+0.0355494
+0.0361873
+0.0369148
+0.0377222
+0.0386256
+0.0396261
+0.0406762
+0.041806
+0.0430064
+0.0442827
+0.0456166
+0.0469363
+0.0482724
+0.0496609
+0.0510592
+0.0525117
+0.0540128
+0.0555546
+0.057132
+0.0587218
+0.0704618
+0.0690653
+0.067711
+0.0664013
+0.0650671
+0.0637662
+0.0625099
+0.0612543
+0.0599107
+0.0586169
+0.057366
+0.0561311
+0.0549449
+0.0538124
+0.0526336
+0.0514821
+0.0503921
+0.049322
+0.0482939
+0.0473157
+0.0464021
+0.045268
+0.0436391
+0.0420614
+0.0405406
+0.0390835
+0.0376897
+0.0363728
+0.0351362
+0.0339942
+0.032907
+0.0318341
+0.0308795
+0.0300522
+0.0292608
+0.0286136
+0.0281225
+0.0277959
+0.0276146
+0.0275978
+0.027743
+0.0279303
+0.0280743
+0.0281464
+0.0283576
+0.0287324
+0.0292668
+0.0299522
+0.0306694
+0.0313934
+0.0322503
+0.0331938
+0.0342321
+0.0353733
+0.0366102
+0.0379334
+0.0392488
+0.0406332
+0.042086
+0.0436006
+0.0448736
+0.0434921
+0.0421731
+0.0409126
+0.039733
+0.0386361
+0.0376159
+0.0366982
+0.0358703
+0.0351279
+0.0344887
+0.0338899
+0.0334244
+0.0330975
+0.0328991
+0.0328068
+0.0328294
+0.0329978
+0.033294
+0.0337139
+0.0342461
+0.0349078
+0.0356875
+0.0365226
+0.0374295
+0.0384147
+0.039497
+0.0406464
+0.041876
+0.0431818
+0.0445506
+0.0459262
+0.0472837
+0.0486794
+0.050105
+0.0515844
+0.0531016
+0.0546129
+0.0561307
+0.0576884
+0.0690924
+0.0676695
+0.0662866
+0.0649483
+0.0636571
+0.0623408
+0.0610603
+0.0598298
+0.0585804
+0.0572613
+0.055992
+0.0547481
+0.0534945
+0.0523027
+0.0511678
+0.0500009
+0.0488856
+0.047825
+0.0467944
+0.0458144
+0.044867
+0.0439702
+0.0431128
+0.0415545
+0.0400082
+0.0385218
+0.0371052
+0.0357612
+0.0344465
+0.0331566
+0.0319588
+0.0308529
+0.0297598
+0.0287922
+0.0279631
+0.0272851
+0.0267696
+0.0264263
+0.0262413
+0.0262237
+0.0261989
+0.0263347
+0.0266505
+0.0268354
+0.0270568
+0.0274493
+0.0280082
+0.0287237
+0.0294078
+0.0301621
+0.0310166
+0.0319757
+0.0330504
+0.0342079
+0.0353937
+0.0366721
+0.0380277
+0.0394549
+0.0409497
+0.0425048
+0.0435819
+0.0421634
+0.0408079
+0.0395273
+0.0383112
+0.0371782
+0.0361351
+0.0351788
+0.0343359
+0.0336148
+0.0329703
+0.0324524
+0.0320247
+0.0316834
+0.0314801
+0.0314101
+0.0314927
+0.031691
+0.0320155
+0.0324602
+0.0330276
+0.033714
+0.0345259
+0.035368
+0.036277
+0.0372899
+0.0383816
+0.0395626
+0.0408248
+0.0421632
+0.0435654
+0.0449904
+0.0463753
+0.0477781
+0.0491858
+0.050582
+0.052033
+0.0535344
+0.0550819
+0.0566685
+0.0677446
+0.0663145
+0.064905
+0.0635375
+0.0622171
+0.0609469
+0.0596507
+0.0583934
+0.0571624
+0.0558595
+0.0545917
+0.0533456
+0.0520583
+0.0508328
+0.0496737
+0.0485709
+0.0474217
+0.0463476
+0.0453191
+0.0443299
+0.0433794
+0.0424584
+0.0416186
+0.0408371
+0.039573
+0.0380456
+0.036509
+0.035042
+0.0336516
+0.0323109
+0.0309899
+0.0297659
+0.0286528
+0.0276464
+0.0267819
+0.0260731
+0.0255333
+0.0251731
+0.0249784
+0.0247358
+0.0246859
+0.02483
+0.0251647
+0.0256302
+0.0258763
+0.0262864
+0.0268695
+0.0276145
+0.0282467
+0.0289672
+0.0298281
+0.0307963
+0.0318195
+0.0329456
+0.0341753
+0.0354976
+0.0368936
+0.038363
+0.0398986
+0.0414755
+0.0423461
+0.0409023
+0.0395056
+0.0381814
+0.0369398
+0.0357875
+0.0347103
+0.0337332
+0.0328532
+0.0320989
+0.0314792
+0.0309688
+0.0305603
+0.030298
+0.030148
+0.0300805
+0.0301667
+0.0304104
+0.0307779
+0.0312659
+0.0318806
+0.0326028
+0.0334417
+0.0342863
+0.0352163
+0.0362381
+0.0373606
+0.0385728
+0.0398664
+0.0412359
+0.0426689
+0.044122
+0.0454137
+0.0467173
+0.0480854
+0.0495126
+0.0509941
+0.0525251
+0.0540363
+0.0555432
+0.0663731
+0.0649601
+0.0635662
+0.0621719
+0.0608219
+0.0595219
+0.0582625
+0.057002
+0.0557569
+0.054427
+0.0531481
+0.0519117
+0.0506761
+0.0494164
+0.0482233
+0.0471019
+0.046001
+0.0448927
+0.043866
+0.0428898
+0.0419443
+0.0410005
+0.0401428
+0.0393672
+0.038667
+0.0374256
+0.0358809
+0.0343872
+0.0328723
+0.0314229
+0.0300628
+0.0287995
+0.0276522
+0.0266319
+0.0257333
+0.0249948
+0.0244311
+0.0240181
+0.0235909
+0.0233339
+0.0232811
+0.0234338
+0.0237881
+0.0242728
+0.0248333
+0.0252604
+0.025835
+0.0263451
+0.0269386
+0.0276932
+0.0285718
+0.0295515
+0.0306156
+0.0317844
+0.0330559
+0.0344105
+0.0358478
+0.0373584
+0.0389191
+0.0405134
+0.0411118
+0.0396462
+0.03825
+0.0369085
+0.0356225
+0.034428
+0.0333348
+0.0323511
+0.0314519
+0.0306621
+0.0300115
+0.0294902
+0.0291138
+0.0288707
+0.0287568
+0.0288095
+0.0289325
+0.0291802
+0.0295639
+0.0301025
+0.0307703
+0.0315426
+0.0324369
+0.0333021
+0.034241
+0.0352911
+0.0364428
+0.0376846
+0.0390076
+0.0404062
+0.0418257
+0.0430604
+0.0443279
+0.0456625
+0.0470612
+0.0485186
+0.0499995
+0.0514445
+0.0529345
+0.0544718
+0.0649958
+0.0635849
+0.0621589
+0.0607542
+0.0593763
+0.058046
+0.0567691
+0.0555364
+0.0543577
+0.0530395
+0.0517326
+0.0504792
+0.0492808
+0.0480569
+0.0468304
+0.0456748
+0.044597
+0.0434991
+0.0424386
+0.041455
+0.040516
+0.0395993
+0.0387132
+0.0379303
+0.0372375
+0.0366282
+0.0353338
+0.0337102
+0.0321494
+0.0306659
+0.0292707
+0.0279716
+0.0267889
+0.0257386
+0.024834
+0.0240681
+0.0234232
+0.0227757
+0.0223252
+0.0220542
+0.0219982
+0.0221598
+0.0225342
+0.0230441
+0.0236926
+0.0241241
+0.0246456
+0.0251292
+0.0257508
+0.0265232
+0.0274332
+0.0284205
+0.0295254
+0.0307317
+0.0320348
+0.0334307
+0.0349084
+0.0364463
+0.0380187
+0.0396492
+0.0399596
+0.0384501
+0.0370088
+0.0356439
+0.0343646
+0.0331556
+0.0320191
+0.0309958
+0.0300975
+0.0292889
+0.0286066
+0.028079
+0.0276983
+0.0274654
+0.0273793
+0.0274507
+0.0276506
+0.0279975
+0.0284298
+0.029021
+0.0297335
+0.0305538
+0.0314868
+0.0324161
+0.03338
+0.0344563
+0.035635
+0.0369048
+0.0381925
+0.0393542
+0.0405445
+0.0417925
+0.0431053
+0.0444623
+0.0458401
+0.0472675
+0.0487353
+0.0502427
+0.0517874
+0.0533538
+0.0634929
+0.06206
+0.0606637
+0.0592557
+0.0578683
+0.056504
+0.0551914
+0.0539359
+0.0527255
+0.0515426
+0.0503208
+0.0490858
+0.0478289
+0.0466326
+0.0454452
+0.0443101
+0.0431983
+0.0421201
+0.0410696
+0.0400286
+0.0390727
+0.0381877
+0.0373424
+0.036533
+0.0358367
+0.0351329
+0.0343733
+0.0331507
+0.0315624
+0.0300498
+0.0286246
+0.0272948
+0.0260814
+0.0250015
+0.0240729
+0.0232169
+0.0223613
+0.0216839
+0.0212103
+0.0209247
+0.0208658
+0.0210361
+0.0214156
+0.0219447
+0.0224642
+0.0230175
+0.023554
+0.0240518
+0.0246944
+0.0254816
+0.0263989
+0.0274182
+0.0285548
+0.0297921
+0.0311345
+0.032567
+0.0340427
+0.0355921
+0.0372061
+0.0388765
+0.0388501
+0.0373222
+0.0358585
+0.0344481
+0.0331227
+0.0318927
+0.0307698
+0.029738
+0.0287969
+0.0279583
+0.0272451
+0.0266927
+0.0263116
+0.026039
+0.0259482
+0.0260421
+0.0263186
+0.0267658
+0.0273014
+0.0279834
+0.0287369
+0.0296171
+0.0306289
+0.0315371
+0.0324757
+0.033471
+0.0345766
+0.0357823
+0.0369484
+0.0380805
+0.0392731
+0.0405333
+0.0418411
+0.0431791
+0.0445763
+0.0460115
+0.047503
+0.0490124
+0.0505546
+0.0521402
+0.062014
+0.0605606
+0.0591409
+0.0577609
+0.0563719
+0.0550053
+0.0536567
+0.0523645
+0.0511198
+0.0498958
+0.0487282
+0.0475271
+0.0463643
+0.0451706
+0.0439868
+0.0428412
+0.0417386
+0.0406925
+0.0396587
+0.0386415
+0.0376582
+0.0367712
+0.0359756
+0.0352132
+0.0344475
+0.0335893
+0.0327986
+0.0321334
+0.0311187
+0.0295835
+0.0281347
+0.0267806
+0.0255428
+0.0244391
+0.0234044
+0.0223464
+0.0214561
+0.0207596
+0.020271
+0.0199713
+0.0199095
+0.019992
+0.0202087
+0.0206146
+0.0211851
+0.0218972
+0.0225073
+0.0230671
+0.0237748
+0.0245689
+0.0254733
+0.0265282
+0.0277105
+0.0289838
+0.0303311
+0.0317596
+0.0332711
+0.0348548
+0.0365014
+0.0382027
+0.0377326
+0.0362059
+0.0347312
+0.033301
+0.031957
+0.0307028
+0.0295384
+0.0284793
+0.0275111
+0.0266328
+0.0258999
+0.0253329
+0.0249311
+0.0246901
+0.024629
+0.0247279
+0.0250189
+0.025477
+0.0260939
+0.0268758
+0.0277731
+0.0287394
+0.0295949
+0.0303992
+0.031307
+0.0323086
+0.0334241
+0.0346389
+0.0356906
+0.0368274
+0.0380224
+0.0392707
+0.040575
+0.0419238
+0.0433361
+0.0447829
+0.0462618
+0.047789
+0.0493623
+0.0509405
+0.0605695
+0.0590896
+0.0576457
+0.0562409
+0.0548794
+0.053512
+0.0521661
+0.0508389
+0.0495559
+0.0482923
+0.0470968
+0.0459423
+0.0447734
+0.0436638
+0.0425138
+0.0413796
+0.0402791
+0.0392288
+0.0382447
+0.0372519
+0.0362996
+0.0353999
+0.0345939
+0.0338927
+0.0329188
+0.0320558
+0.0312981
+0.0306002
+0.0300462
+0.0292672
+0.0278025
+0.0264376
+0.0251839
+0.0239517
+0.0227281
+0.021637
+0.0207162
+0.019994
+0.0194877
+0.0190236
+0.0187619
+0.0187541
+0.0189862
+0.0194301
+0.0200642
+0.0208147
+0.0216326
+0.0222144
+0.0229702
+0.0237697
+0.0247034
+0.0257898
+0.0270007
+0.0282584
+0.0296249
+0.0310859
+0.0326286
+0.0342421
+0.0359167
+0.0376444
+0.0366138
+0.0350397
+0.033535
+0.0321093
+0.030747
+0.0294796
+0.0283047
+0.0272099
+0.0262525
+0.0253884
+0.0246585
+0.0240653
+0.0236462
+0.0234204
+0.023363
+0.0235068
+0.0238469
+0.0243175
+0.0249631
+0.0257793
+0.0267504
+0.0276962
+0.0284212
+0.029194
+0.0301067
+0.031147
+0.0322879
+0.0333839
+0.0344623
+0.0355633
+0.0367489
+0.0380221
+0.0393306
+0.0406923
+0.0420979
+0.0435543
+0.0450477
+0.0465621
+0.0481218
+0.049718
+0.0590839
+0.057655
+0.0561838
+0.0547509
+0.0533632
+0.0520194
+0.05068
+0.0493478
+0.0480368
+0.0467366
+0.0455001
+0.0443376
+0.0431934
+0.0420626
+0.0409973
+0.0399167
+0.0388417
+0.0377743
+0.0367823
+0.035839
+0.0349182
+0.0340689
+0.0332634
+0.0324807
+0.0314656
+0.0305715
+0.0297895
+0.0291263
+0.0285572
+0.0281212
+0.027514
+0.0262407
+0.0248668
+0.0234963
+0.0222477
+0.0211318
+0.020188
+0.0192706
+0.0185037
+0.0179694
+0.0176921
+0.0176839
+0.0179448
+0.0184178
+0.0191136
+0.0199082
+0.0208511
+0.0215473
+0.0223112
+0.023151
+0.0241071
+0.0252012
+0.0263874
+0.027673
+0.029067
+0.0305547
+0.032123
+0.0337606
+0.035458
+0.0371883
+0.03557
+0.0339735
+0.0324193
+0.0309423
+0.0295532
+0.0282352
+0.0270277
+0.0259493
+0.0249678
+0.0241035
+0.023402
+0.0228785
+0.0225017
+0.0222649
+0.0222328
+0.0223838
+0.0227446
+0.0232689
+0.023971
+0.0247882
+0.0255799
+0.0265293
+0.0272421
+0.0280145
+0.0289063
+0.0299264
+0.0310678
+0.0321396
+0.0331586
+0.0342875
+0.0355158
+0.036781
+0.0380792
+0.0394456
+0.0408516
+0.0422979
+0.0437904
+0.045332
+0.0469127
+0.048465
+0.0575087
+0.0561538
+0.0547607
+0.0532997
+0.0518797
+0.0505115
+0.0491874
+0.0478518
+0.0465068
+0.0452196
+0.0439547
+0.0427501
+0.0416156
+0.0404922
+0.0394019
+0.0383858
+0.0373711
+0.0363162
+0.0353034
+0.0343862
+0.0335187
+0.0326933
+0.0318209
+0.0309868
+0.0301017
+0.0291659
+0.0283633
+0.0276803
+0.0270916
+0.0264908
+0.0259044
+0.0253297
+0.0245864
+0.0232012
+0.0219477
+0.0206213
+0.0194477
+0.0184604
+0.0176899
+0.0171318
+0.0168407
+0.0168321
+0.0171055
+0.0175997
+0.018341
+0.0191733
+0.0201506
+0.021048
+0.021773
+0.022659
+0.0236201
+0.0247001
+0.0259195
+0.0272516
+0.0286662
+0.030173
+0.0317551
+0.0334051
+0.0351142
+0.0361641
+0.0344978
+0.0328931
+0.0313521
+0.0298837
+0.0284508
+0.0271028
+0.025844
+0.0247156
+0.0237361
+0.0229002
+0.0221606
+0.0216071
+0.021244
+0.0210812
+0.0211454
+0.0213893
+0.0217677
+0.022339
+0.0230102
+0.0236589
+0.0244271
+0.0252728
+0.0259729
+0.0267823
+0.0277105
+0.0287731
+0.0298838
+0.0308604
+0.0319303
+0.0330731
+0.0342649
+0.0355085
+0.0368112
+0.038164
+0.0395729
+0.0410319
+0.0425468
+0.0440901
+0.0456442
+0.0471916
+0.0559746
+0.0545816
+0.0532423
+0.0518847
+0.0504409
+0.049036
+0.0476878
+0.0463592
+0.0450291
+0.0437008
+0.0424383
+0.0412036
+0.0400173
+0.0389134
+0.0378519
+0.0368072
+0.0358514
+0.0348839
+0.0338731
+0.0329311
+0.0321104
+0.0312336
+0.030257
+0.0293785
+0.028641
+0.0278619
+0.0270262
+0.0263251
+0.0256469
+0.024914
+0.0242709
+0.0237456
+0.023324
+0.0229464
+0.0214684
+0.0201064
+0.0189009
+0.0178834
+0.0170876
+0.0165434
+0.0162422
+0.0162332
+0.0164878
+0.0169969
+0.0177635
+0.018668
+0.0196704
+0.0207098
+0.0214164
+0.0223007
+0.0232533
+0.0243662
+0.025614
+0.0269635
+0.0284034
+0.0299177
+0.0315116
+0.0331737
+0.0348942
+0.0351751
+0.0334991
+0.0318781
+0.0302938
+0.0287722
+0.0273415
+0.0260169
+0.0247588
+0.0235896
+0.0225614
+0.0217062
+0.0210201
+0.0204809
+0.0201084
+0.0199363
+0.0200041
+0.0203094
+0.0208217
+0.0213173
+0.0218216
+0.0224559
+0.0232396
+0.0240527
+0.0248299
+0.0256361
+0.026566
+0.0276227
+0.0286405
+0.0296206
+0.0306619
+0.0317683
+0.0329677
+0.0342229
+0.0355205
+0.0368815
+0.03831
+0.0397767
+0.0413038
+0.0428396
+0.0443418
+0.0458993
+0.0544854
+0.0530533
+0.0516744
+0.0503531
+0.0490344
+0.0476121
+0.046225
+0.0448712
+0.0435533
+0.0422072
+0.0408757
+0.0396201
+0.0384478
+0.0373223
+0.0362666
+0.0352654
+0.0342938
+0.0334098
+0.0324434
+0.0314888
+0.0306321
+0.029659
+0.0287306
+0.0278497
+0.0270705
+0.0264504
+0.0257349
+0.0248225
+0.02401
+0.0233139
+0.0226457
+0.022154
+0.0217681
+0.0215199
+0.0212018
+0.0198216
+0.0185976
+0.0175625
+0.0167514
+0.0161665
+0.0158577
+0.0158485
+0.0161289
+0.0166491
+0.0174286
+0.0184031
+0.0193503
+0.0203563
+0.0212735
+0.0221282
+0.0230879
+0.0242084
+0.025464
+0.026821
+0.0282828
+0.0298205
+0.0314194
+0.0330861
+0.0348109
+0.0342253
+0.032531
+0.0308695
+0.0292666
+0.0277442
+0.0262961
+0.0249188
+0.0236615
+0.0225119
+0.0215128
+0.0206487
+0.0199527
+0.0193908
+0.0190585
+0.0189365
+0.0190078
+0.0193287
+0.019804
+0.0201739
+0.0207106
+0.0213504
+0.0220618
+0.022874
+0.0235994
+0.0244462
+0.0253872
+0.026473
+0.0273842
+0.0283084
+0.0293339
+0.0304394
+0.0316475
+0.0329297
+0.0342436
+0.0356151
+0.0370548
+0.0385652
+0.0400396
+0.0415275
+0.0430688
+0.0446499
+0.0530037
+0.0515666
+0.0501532
+0.0487908
+0.0474903
+0.046216
+0.0448126
+0.0434343
+0.04208
+0.0407499
+0.0393729
+0.0380679
+0.0368469
+0.0357122
+0.0346355
+0.0336409
+0.0327578
+0.0318762
+0.0309762
+0.030048
+0.0290078
+0.0280477
+0.0271645
+0.0263543
+0.0255838
+0.0249267
+0.0242321
+0.0232734
+0.0224531
+0.0217687
+0.0211125
+0.0205878
+0.0202083
+0.0200167
+0.0198647
+0.0197402
+0.018516
+0.0174816
+0.0166497
+0.0160538
+0.0157428
+0.0157335
+0.0160151
+0.0165389
+0.0171626
+0.0179456
+0.0187794
+0.0197369
+0.0208812
+0.0221719
+0.0231298
+0.0242484
+0.025502
+0.0268571
+0.028317
+0.0298663
+0.0314762
+0.0331418
+0.0348649
+0.0333428
+0.0316012
+0.0299188
+0.0283014
+0.0267579
+0.0252743
+0.0238877
+0.0226138
+0.0214559
+0.0204589
+0.0196006
+0.0188851
+0.0183885
+0.0181317
+0.017999
+0.0181254
+0.0184627
+0.0186525
+0.0190245
+0.0195128
+0.0200892
+0.0208367
+0.0217288
+0.0224289
+0.0232679
+0.0242509
+0.0252887
+0.0260677
+0.0269865
+0.0280088
+0.0291354
+0.0303581
+0.031644
+0.0329804
+0.0343965
+0.0358416
+0.0372868
+0.0387508
+0.0402537
+0.0418047
+0.0434108
+0.051571
+0.0500928
+0.0486683
+0.0472783
+0.045935
+0.0446588
+0.0434149
+0.0420175
+0.0406626
+0.0393245
+0.0379332
+0.036581
+0.0353086
+0.0341295
+0.03304
+0.032023
+0.0310992
+0.0303001
+0.029478
+0.0284596
+0.0274052
+0.0264353
+0.0255776
+0.0248061
+0.0240949
+0.0234944
+0.022717
+0.0217758
+0.0209407
+0.0202519
+0.0195955
+0.0191136
+0.0187178
+0.0185468
+0.0184506
+0.0184937
+0.0186764
+0.0176514
+0.0168279
+0.0162385
+0.0159311
+0.0159126
+0.0160834
+0.0163799
+0.0169565
+0.0174745
+0.0182384
+0.0192229
+0.0203961
+0.0217222
+0.0230937
+0.0244454
+0.0256938
+0.0270599
+0.0285074
+0.0299271
+0.0311802
+0.0325085
+0.033874
+0.0322716
+0.0306673
+0.0290615
+0.0273983
+0.0258139
+0.0243158
+0.0229144
+0.0216053
+0.020437
+0.019402
+0.0185506
+0.0178857
+0.0174253
+0.0171159
+0.0170772
+0.0173179
+0.0172776
+0.017466
+0.0178093
+0.0183182
+0.0188829
+0.0196756
+0.0205833
+0.0213327
+0.0221004
+0.0230403
+0.0239963
+0.0247605
+0.0256701
+0.0267161
+0.0278728
+0.0291351
+0.0304179
+0.0317588
+0.0331351
+0.0345615
+0.035981
+0.0374536
+0.0389928
+0.040592
+0.0422442
+0.0501655
+0.048673
+0.0472057
+0.0457963
+0.0444317
+0.043111
+0.0418633
+0.0406532
+0.0392607
+0.0379189
+0.0365079
+0.0351541
+0.0338423
+0.0326103
+0.0314826
+0.0304485
+0.0295047
+0.0286673
+0.0279332
+0.0269465
+0.0258304
+0.0248577
+0.0239698
+0.0232535
+0.0225982
+0.0220179
+0.0212172
+0.0203468
+0.0194741
+0.0187788
+0.0181647
+0.0176778
+0.0173143
+0.0171421
+0.0171057
+0.0171628
+0.0174102
+0.0178405
+0.0172659
+0.016692
+0.016392
+0.0161081
+0.0161089
+0.0163643
+0.0166099
+0.0171344
+0.0179132
+0.018915
+0.0201064
+0.021456
+0.0227404
+0.0240911
+0.0255146
+0.0264964
+0.0275965
+0.0288214
+0.0301559
+0.031534
+0.0327421
+0.0310814
+0.0294856
+0.0279672
+0.0264745
+0.024955
+0.0234588
+0.0220015
+0.020661
+0.0194706
+0.018435
+0.0175367
+0.0168734
+0.0164601
+0.0162398
+0.0161814
+0.0160806
+0.016055
+0.0162661
+0.0166018
+0.0170922
+0.0176992
+0.0185432
+0.0193987
+0.0200089
+0.0208255
+0.0218022
+0.0227139
+0.0234973
+0.0244343
+0.0255065
+0.0266986
+0.0279145
+0.0291522
+0.0304859
+0.0318633
+0.0332536
+0.034704
+0.0362277
+0.0378168
+0.0394418
+0.0410985
+0.0487299
+0.0472615
+0.0457892
+0.0443472
+0.0429556
+0.0416112
+0.0403171
+0.039103
+0.0377794
+0.0363951
+0.035086
+0.0337328
+0.0324195
+0.0311518
+0.0299787
+0.0289203
+0.0279604
+0.0271068
+0.0263741
+0.0253897
+0.0243336
+0.0232984
+0.0224301
+0.0216646
+0.0210764
+0.0205908
+0.0197164
+0.018885
+0.0180345
+0.0173519
+0.0167492
+0.0163535
+0.0160358
+0.0158243
+0.0157973
+0.0158575
+0.0161223
+0.0165861
+0.01696
+0.0170877
+0.0166292
+0.0163685
+0.0162246
+0.0162351
+0.016529
+0.0170559
+0.0178382
+0.018844
+0.0199882
+0.0211228
+0.022393
+0.0235492
+0.0244284
+0.0254303
+0.0265746
+0.0278445
+0.0292237
+0.0306852
+0.0317213
+0.0300041
+0.0283477
+0.0267649
+0.0252729
+0.0238889
+0.0224746
+0.0211226
+0.0198753
+0.0186416
+0.0175777
+0.0166897
+0.0160289
+0.0156152
+0.0152032
+0.0149746
+0.0149043
+0.0148359
+0.015009
+0.0154476
+0.0159767
+0.0166244
+0.0174993
+0.0180718
+0.0187187
+0.0195566
+0.0205322
+0.0215201
+0.0223227
+0.0232712
+0.0243277
+0.0254723
+0.0266412
+0.0278949
+0.0292147
+0.030576
+0.0319971
+0.0334995
+0.0350706
+0.0366865
+0.0383304
+0.0400125
+0.0472715
+0.0458138
+0.0443716
+0.0429121
+0.0414732
+0.0401013
+0.0388047
+0.0375709
+0.0363448
+0.0349225
+0.0335709
+0.0323013
+0.0310154
+0.0297526
+0.0285424
+0.0274322
+0.0264536
+0.0255887
+0.0247849
+0.0237158
+0.0227682
+0.0218388
+0.0209194
+0.0201869
+0.0195561
+0.0191375
+0.0182563
+0.0174361
+0.0165773
+0.0159367
+0.0153602
+0.014939
+0.0146587
+0.0144667
+0.0144695
+0.0146202
+0.0149277
+0.0153499
+0.0159486
+0.0160937
+0.016489
+0.0166599
+0.0163798
+0.0163902
+0.0166906
+0.0172562
+0.0180295
+0.0188746
+0.0198354
+0.0209783
+0.0217934
+0.0225286
+0.0234462
+0.024514
+0.0256992
+0.0270103
+0.0283348
+0.0296966
+0.0308226
+0.0290524
+0.0273384
+0.0256934
+0.0241353
+0.022682
+0.0213549
+0.0200335
+0.0187948
+0.0177412
+0.0167577
+0.0159404
+0.0151711
+0.0144471
+0.013998
+0.0137392
+0.0136041
+0.0136629
+0.0138355
+0.014302
+0.0148316
+0.015575
+0.0164364
+0.0168478
+0.0174338
+0.0182612
+0.0192595
+0.0203806
+0.0211551
+0.0220855
+0.0231012
+0.0242011
+0.0253998
+0.0266483
+0.0279815
+0.0293627
+0.0308378
+0.0323825
+0.0339879
+0.0356041
+0.0372623
+0.0389732
+0.045789
+0.0443481
+0.0429232
+0.0414605
+0.0400148
+0.0386129
+0.0372645
+0.035999
+0.0348095
+0.0335089
+0.0321104
+0.0307995
+0.0295716
+0.0283761
+0.0271658
+0.0260403
+0.0249904
+0.0240294
+0.0232004
+0.0221005
+0.0211138
+0.0202634
+0.0194588
+0.0187515
+0.0181732
+0.0176807
+0.0167876
+0.0159774
+0.0151896
+0.0145364
+0.013988
+0.0135694
+0.0133569
+0.0132218
+0.0132776
+0.0134579
+0.0137964
+0.0142451
+0.0149116
+0.0152951
+0.0157336
+0.0162487
+0.0163451
+0.0166049
+0.0170575
+0.0175152
+0.0181795
+0.0189233
+0.0198524
+0.0203137
+0.020827
+0.0215518
+0.0224676
+0.0235522
+0.0247679
+0.0260293
+0.0273308
+0.0287401
+0.0300011
+0.0282389
+0.0264723
+0.0247698
+0.0231496
+0.0216302
+0.0201765
+0.0188408
+0.0176166
+0.0164878
+0.0155868
+0.0148488
+0.0140084
+0.0132661
+0.0127767
+0.0124975
+0.0123068
+0.0123315
+0.0125403
+0.0131169
+0.013686
+0.0144822
+0.0152579
+0.0155979
+0.016229
+0.0170987
+0.0181602
+0.0191862
+0.0199539
+0.020828
+0.0218413
+0.022985
+0.0241834
+0.025468
+0.0268276
+0.0282652
+0.0297741
+0.0313398
+0.0329214
+0.0345695
+0.0362717
+0.0380056
+0.0443485
+0.042847
+0.0414071
+0.0400186
+0.0385786
+0.0371499
+0.0357923
+0.0344728
+0.0332185
+0.032006
+0.0307109
+0.0293559
+0.0280927
+0.0269217
+0.0257515
+0.0245837
+0.0235081
+0.0225596
+0.0216656
+0.0205253
+0.0195102
+0.0186608
+0.0179213
+0.0172768
+0.0168765
+0.0161973
+0.0153091
+0.0145413
+0.013842
+0.0131705
+0.01262
+0.0122359
+0.0121182
+0.0120312
+0.012058
+0.01225
+0.0126511
+0.0132282
+0.0140041
+0.0146457
+0.0150623
+0.0150679
+0.0151662
+0.0154866
+0.0159793
+0.0165419
+0.0172933
+0.0181114
+0.0189154
+0.0192854
+0.0198253
+0.0205854
+0.0215423
+0.0226253
+0.0238266
+0.0250936
+0.0264498
+0.0279119
+0.0292194
+0.0274345
+0.0257124
+0.0240111
+0.0222901
+0.0206285
+0.0190741
+0.0176552
+0.0164069
+0.015371
+0.014437
+0.0137526
+0.01293
+0.0121411
+0.0115768
+0.0112609
+0.0111106
+0.0110893
+0.0114028
+0.0119595
+0.0125811
+0.0133992
+0.0141902
+0.0145551
+0.0152065
+0.0160955
+0.0171872
+0.0178899
+0.0186567
+0.0195938
+0.0206477
+0.0217952
+0.023026
+0.0243194
+0.025725
+0.0272344
+0.0287332
+0.030293
+0.031921
+0.0335756
+0.0352834
+0.0370096
+0.0429499
+0.0413977
+0.0399055
+0.0384802
+0.0371197
+0.0357277
+0.0343201
+0.032998
+0.0316836
+0.0304262
+0.0292574
+0.0279594
+0.026677
+0.0254694
+0.0243778
+0.0231967
+0.0220991
+0.0211004
+0.020119
+0.0189993
+0.0179638
+0.0170628
+0.016375
+0.0158308
+0.0154119
+0.0147446
+0.0138525
+0.0130668
+0.0123438
+0.0117802
+0.0112302
+0.0109276
+0.0108073
+0.0106956
+0.0109285
+0.0112576
+0.0116697
+0.0123323
+0.0132313
+0.0136656
+0.0139122
+0.0138752
+0.014023
+0.0143378
+0.0148317
+0.0155518
+0.0164017
+0.0172165
+0.0180604
+0.0184607
+0.0189693
+0.0196682
+0.0205777
+0.0216712
+0.0229225
+0.0243071
+0.0257107
+0.0272125
+0.0285349
+0.0267573
+0.0249886
+0.0232917
+0.0215169
+0.0197955
+0.01817
+0.0166743
+0.0153465
+0.0142335
+0.0133892
+0.0127417
+0.0118479
+0.0110857
+0.0104104
+0.0101216
+0.00994022
+0.00995665
+0.0103052
+0.0108456
+0.0115718
+0.0125017
+0.0133388
+0.013726
+0.0143795
+0.0153166
+0.0159503
+0.016642
+0.0174438
+0.018375
+0.0194381
+0.0206181
+0.021847
+0.0231955
+0.0246613
+0.0261153
+0.0276304
+0.0292312
+0.0308749
+0.032553
+0.0342761
+0.03605
+0.0415346
+0.0399869
+0.0384702
+0.0369896
+0.0355823
+0.0342458
+0.0328668
+0.0314838
+0.0301965
+0.0289137
+0.0276989
+0.0265057
+0.0252882
+0.0240987
+0.0229646
+0.0218959
+0.0207327
+0.0196768
+0.0185542
+0.0174677
+0.0164292
+0.0155644
+0.0148533
+0.0143911
+0.0141157
+0.0133425
+0.012453
+0.011622
+0.0109223
+0.0103657
+0.00988377
+0.00968683
+0.00969224
+0.00954808
+0.00969237
+0.0101144
+0.0106869
+0.0114589
+0.0121814
+0.0126654
+0.0127166
+0.0127116
+0.0129135
+0.0131874
+0.0137043
+0.014475
+0.0154494
+0.0164052
+0.0172494
+0.0175912
+0.0180878
+0.0188195
+0.019768
+0.020904
+0.0221985
+0.0236256
+0.0251413
+0.0265977
+0.0278235
+0.0260697
+0.0243798
+0.0227026
+0.0209222
+0.0191547
+0.017472
+0.0159108
+0.0145133
+0.013331
+0.0124255
+0.0115427
+0.0107091
+0.00996888
+0.00935992
+0.00895534
+0.00879363
+0.00877882
+0.0091943
+0.00976426
+0.0105461
+0.0115302
+0.0124997
+0.0130505
+0.0137405
+0.0142959
+0.0147547
+0.0154714
+0.0163355
+0.0172204
+0.0182819
+0.0195089
+0.0207773
+0.0221234
+0.0235303
+0.0249936
+0.0265377
+0.0281677
+0.0298413
+0.0315461
+0.0332999
+0.0350906
+0.0401001
+0.038559
+0.0370258
+0.0355519
+0.0341059
+0.0327204
+0.0314145
+0.030053
+0.0287016
+0.0274587
+0.0262018
+0.0250337
+0.023839
+0.0227257
+0.0216242
+0.0206204
+0.0193732
+0.0182834
+0.0170939
+0.015905
+0.0148941
+0.0140322
+0.0133717
+0.0129464
+0.012788
+0.012019
+0.0110432
+0.010197
+0.00962756
+0.00907912
+0.00860592
+0.00840906
+0.00841029
+0.00834757
+0.00855816
+0.00911734
+0.0098604
+0.0106883
+0.0111291
+0.0116432
+0.0115433
+0.0115307
+0.0118453
+0.0121345
+0.0126846
+0.0135342
+0.0145396
+0.0154653
+0.0161423
+0.0168807
+0.017417
+0.0181963
+0.0191757
+0.0203447
+0.0216727
+0.0231323
+0.0245762
+0.0260539
+0.0261767
+0.025439
+0.0236282
+0.0218505
+0.0200987
+0.0184096
+0.0168157
+0.0152419
+0.0137767
+0.0124495
+0.0112987
+0.0102516
+0.00934585
+0.00866453
+0.00817547
+0.00779602
+0.00754413
+0.00750042
+0.00788651
+0.00862948
+0.00947045
+0.010482
+0.0114536
+0.0122431
+0.0129012
+0.0131645
+0.0135993
+0.0142963
+0.0151336
+0.0160624
+0.0171346
+0.0183039
+0.0196338
+0.0209873
+0.0224215
+0.0239416
+0.0254911
+0.0271134
+0.0288002
+0.0305506
+0.0323214
+0.0340625
+0.0385929
+0.0371385
+0.0356004
+0.034089
+0.0326296
+0.0312472
+0.0299052
+0.02861
+0.0272871
+0.0259911
+0.0247752
+0.0235718
+0.0224327
+0.0212856
+0.02027
+0.0193143
+0.0181603
+0.0170105
+0.0156665
+0.0144936
+0.0133819
+0.0125033
+0.0119191
+0.0115262
+0.0114887
+0.0106005
+0.00961073
+0.00882471
+0.00831114
+0.00782848
+0.00749536
+0.00730339
+0.00733119
+0.00728003
+0.00761064
+0.0083483
+0.00916658
+0.00991017
+0.0102017
+0.0105388
+0.0105114
+0.0105732
+0.0109036
+0.0112541
+0.0119076
+0.012741
+0.0134935
+0.0143103
+0.0150091
+0.015952
+0.0169092
+0.0177764
+0.0187781
+0.0199704
+0.0213217
+0.0227868
+0.0241857
+0.024244
+0.024003
+0.0239607
+0.0225665
+0.0208113
+0.0190614
+0.0173773
+0.0157379
+0.0141833
+0.0126244
+0.0112457
+0.0100148
+0.00895469
+0.00791767
+0.00731516
+0.00677691
+0.00634189
+0.0063429
+0.00639757
+0.0067338
+0.00748657
+0.00832568
+0.00939299
+0.0104662
+0.0111374
+0.0118025
+0.0120354
+0.0125551
+0.013079
+0.0138747
+0.0148246
+0.0159423
+0.0171906
+0.0185506
+0.0198955
+0.0213155
+0.0228408
+0.0244449
+0.0260687
+0.0277706
+0.0295261
+0.0312661
+0.0330597
+0.0371332
+0.0356572
+0.0341818
+0.0326649
+0.0311695
+0.0297429
+0.0283857
+0.027083
+0.0258056
+0.0245748
+0.023377
+0.0221825
+0.0210691
+0.0199442
+0.0188904
+0.0180064
+0.0170031
+0.0157939
+0.0143095
+0.0130257
+0.011959
+0.0110684
+0.0104508
+0.0101882
+0.0101671
+0.00919571
+0.00824337
+0.007471
+0.00702213
+0.00656225
+0.00636505
+0.00622946
+0.0062465
+0.00637431
+0.00685137
+0.00758315
+0.00850279
+0.0089416
+0.00927717
+0.00955178
+0.00948268
+0.00958212
+0.00993358
+0.0104751
+0.0111222
+0.0118001
+0.0125611
+0.0132375
+0.013952
+0.0149294
+0.0159414
+0.016987
+0.018237
+0.0196392
+0.0210267
+0.0224079
+0.0225725
+0.0220974
+0.0218327
+0.0217862
+0.021428
+0.0196728
+0.0179153
+0.0162322
+0.0146389
+0.0131127
+0.0116401
+0.0102229
+0.0088611
+0.00761937
+0.00658506
+0.00597038
+0.0053716
+0.00497122
+0.00510628
+0.00521174
+0.00572361
+0.00637048
+0.00726853
+0.00830909
+0.0094513
+0.0100158
+0.0107195
+0.0108905
+0.0113035
+0.0118934
+0.0126823
+0.0136715
+0.0148127
+0.016146
+0.0174124
+0.0187647
+0.0202443
+0.0217482
+0.023354
+0.0250487
+0.0267937
+0.0285321
+0.0303288
+0.0321587
+0.0357238
+0.0342117
+0.0327335
+0.0312508
+0.0297457
+0.0282864
+0.0268819
+0.0255516
+0.0242865
+0.0230764
+0.0219212
+0.0208044
+0.0196651
+0.0186043
+0.0176309
+0.0166798
+0.015747
+0.014739
+0.0131467
+0.0117368
+0.0105649
+0.00967266
+0.00909966
+0.00887632
+0.00876788
+0.00776704
+0.00690271
+0.00618482
+0.00572506
+0.00532078
+0.00526576
+0.00522278
+0.00517006
+0.00549353
+0.00602104
+0.00690444
+0.00751745
+0.00768033
+0.00826634
+0.00853213
+0.00857978
+0.00873723
+0.0089527
+0.00948031
+0.0102775
+0.0109229
+0.0115986
+0.0123061
+0.0130581
+0.0140549
+0.0151317
+0.0162551
+0.0175237
+0.0188071
+0.0202363
+0.0212241
+0.0204851
+0.0199603
+0.0196669
+0.0196152
+0.019766
+0.0186324
+0.0168329
+0.0150839
+0.0134216
+0.0118755
+0.0104387
+0.0090067
+0.00763458
+0.00637218
+0.00530857
+0.00467507
+0.00402646
+0.00378614
+0.00379244
+0.00405043
+0.00458844
+0.00533425
+0.00629276
+0.00737329
+0.00851079
+0.00905418
+0.00969585
+0.00979015
+0.0101999
+0.01069
+0.0115091
+0.0125456
+0.0137338
+0.0150134
+0.0162704
+0.0177096
+0.0191732
+0.0207471
+0.0224087
+0.0241467
+0.0258617
+0.027644
+0.0294019
+0.0311765
+0.0343914
+0.032818
+0.0313189
+0.029845
+0.0283553
+0.0268667
+0.0254361
+0.0240504
+0.0227654
+0.0215724
+0.0204476
+0.0193864
+0.0182183
+0.0171664
+0.0162925
+0.0153933
+0.0145093
+0.0136062
+0.0122206
+0.0106959
+0.0093857
+0.00838749
+0.00779866
+0.00764292
+0.00736612
+0.00634053
+0.00553402
+0.00482006
+0.00438186
+0.00404554
+0.00407923
+0.00428661
+0.00413903
+0.00465506
+0.00532785
+0.00621018
+0.00624311
+0.00654672
+0.00729107
+0.00739642
+0.00740171
+0.00771693
+0.00795289
+0.00853998
+0.0094513
+0.0101576
+0.0106777
+0.0114259
+0.0122081
+0.0132577
+0.0144693
+0.0156343
+0.0168414
+0.0181672
+0.019643
+0.0192401
+0.0184217
+0.0178363
+0.0175073
+0.0174493
+0.0176167
+0.0176178
+0.0158593
+0.0140728
+0.0123546
+0.0107651
+0.00919337
+0.0077104
+0.00645701
+0.00517454
+0.00409087
+0.00333746
+0.00272834
+0.00252473
+0.00245317
+0.00277944
+0.00335553
+0.00438013
+0.00537373
+0.00650933
+0.00732321
+0.00792205
+0.00868833
+0.00881385
+0.0091111
+0.00961895
+0.0104568
+0.0115223
+0.0126941
+0.0138922
+0.0152678
+0.0167205
+0.0182204
+0.0198344
+0.0214907
+0.0232336
+0.0249579
+0.0266711
+0.0284335
+0.0302469
+0.0331487
+0.0315151
+0.0299508
+0.0284693
+0.026987
+0.0254912
+0.0240421
+0.0226231
+0.0212802
+0.0200571
+0.0189263
+0.0178011
+0.0168267
+0.0157414
+0.0148196
+0.0140241
+0.0132114
+0.0122854
+0.0112325
+0.00987851
+0.00845049
+0.00737068
+0.00677172
+0.00669872
+0.00595666
+0.00505463
+0.00426592
+0.00360481
+0.00310684
+0.00273434
+0.00296418
+0.00328057
+0.00322709
+0.00378758
+0.00470116
+0.00514727
+0.00505191
+0.00537386
+0.00623757
+0.00624679
+0.00641122
+0.00685398
+0.00721325
+0.00783092
+0.00870707
+0.00928516
+0.00977255
+0.0106152
+0.0114237
+0.0125021
+0.0136197
+0.014822
+0.0160218
+0.0174038
+0.0184362
+0.0173061
+0.0163913
+0.0157306
+0.0153565
+0.0152903
+0.015479
+0.0159659
+0.0148578
+0.0130956
+0.0114173
+0.00979577
+0.0080988
+0.00658033
+0.00529899
+0.00397782
+0.00296806
+0.00191798
+0.00148345
+0.00137636
+0.00136636
+0.00166097
+0.00243672
+0.00328804
+0.00432896
+0.00555874
+0.00601155
+0.0066046
+0.00760817
+0.00776235
+0.00805055
+0.00864948
+0.00942017
+0.0105019
+0.0115729
+0.0128651
+0.0143181
+0.0157538
+0.017259
+0.0188534
+0.0205432
+0.0222492
+0.0239814
+0.0257355
+0.0275497
+0.0294033
+0.0319974
+0.0303094
+0.028685
+0.0271345
+0.0256489
+0.0241021
+0.0226278
+0.0212607
+0.0198924
+0.0186107
+0.0174672
+0.0163001
+0.0152958
+0.0143002
+0.0133272
+0.012529
+0.0117224
+0.0108544
+0.0097487
+0.00857412
+0.00760421
+0.0068173
+0.00621309
+0.00547998
+0.00474747
+0.00390818
+0.00317775
+0.00254381
+0.00202258
+0.00169979
+0.00218532
+0.00244238
+0.00240638
+0.00315883
+0.00408638
+0.00412087
+0.00409643
+0.00447064
+0.0053009
+0.00522178
+0.00526467
+0.00582966
+0.00629143
+0.00705202
+0.00797157
+0.00843697
+0.0089215
+0.00980075
+0.010694
+0.01178
+0.0127926
+0.0140413
+0.0152804
+0.0166484
+0.0166711
+0.0154407
+0.014408
+0.0136516
+0.0132189
+0.0131376
+0.0133532
+0.0139146
+0.0140554
+0.0121869
+0.0104444
+0.00879743
+0.00718242
+0.00563844
+0.00416131
+0.00282038
+0.00176761
+0.000692867
+0.000265077
+0.000233361
+0.000115618
+0.000528069
+0.00143787
+0.00224304
+0.00327143
+0.0045303
+0.0047095
+0.00531428
+0.00646449
+0.00672859
+0.00699495
+0.00759121
+0.00836342
+0.00944168
+0.0105587
+0.0119355
+0.013309
+0.0147288
+0.0162474
+0.0178634
+0.0195914
+0.0212948
+0.0230611
+0.0248601
+0.0266728
+0.0285386
+0.0309063
+0.029209
+0.0275259
+0.0259163
+0.0243865
+0.0228135
+0.0212772
+0.0198349
+0.0185176
+0.0172753
+0.0160907
+0.0149136
+0.0137969
+0.0127857
+0.0119353
+0.0110511
+0.0102411
+0.0093963
+0.00833776
+0.00711575
+0.00624456
+0.00569692
+0.00503219
+0.00420946
+0.00359941
+0.00287346
+0.00213781
+0.00146653
+0.00105915
+0.000946828
+0.00185509
+0.00152351
+0.00161629
+0.00248513
+0.003529
+0.00360343
+0.003499
+0.00401605
+0.00422039
+0.00414846
+0.00415376
+0.00468068
+0.00526851
+0.00602088
+0.00710808
+0.00771483
+0.00824739
+0.00903826
+0.00999195
+0.0110679
+0.0120988
+0.0133774
+0.0145927
+0.015968
+0.015017
+0.0136508
+0.0124941
+0.0116137
+0.0111018
+0.0109898
+0.0112466
+0.0119078
+0.0128776
+0.0113651
+0.00953486
+0.00781514
+0.0062008
+0.00464678
+0.00308563
+0.00170744
+0.000596181
+-0.000411798
+-0.000957254
+-0.00072425
+-0.000820111
+-0.000545056
+0.000387437
+0.00123406
+0.00225142
+0.00330199
+0.00333093
+0.00410654
+0.0053211
+0.00570803
+0.00596429
+0.00651643
+0.0073846
+0.00853176
+0.0096388
+0.0107957
+0.012087
+0.0135141
+0.0151086
+0.016787
+0.0185127
+0.0201885
+0.0219498
+0.023778
+0.0256241
+0.027503
+0.0299258
+0.0281716
+0.0264789
+0.0248171
+0.023223
+0.0216421
+0.0200338
+0.0185397
+0.0171473
+0.0159054
+0.0147692
+0.0134455
+0.0123599
+0.0112833
+0.0104302
+0.00965715
+0.00883264
+0.00804066
+0.00697187
+0.00571958
+0.004916
+0.00450586
+0.00370444
+0.00296251
+0.0023856
+0.00166484
+0.000881531
+0.000311143
+0.000124888
+0.000361545
+0.000878225
+0.000659968
+0.00106134
+0.00196505
+0.00298668
+0.00284031
+0.0028789
+0.00334988
+0.00311775
+0.00300613
+0.00316608
+0.00355812
+0.00418331
+0.00507168
+0.00599923
+0.00671609
+0.0074325
+0.00837906
+0.00923905
+0.0103433
+0.0116108
+0.0127363
+0.013898
+0.0152038
+0.0135165
+0.0119803
+0.0106555
+0.0096269
+0.00900276
+0.00885387
+0.00917073
+0.0099591
+0.0110913
+0.0106783
+0.00883193
+0.00703453
+0.0052217
+0.00363693
+0.00212498
+0.000611676
+-0.000601075
+-0.000608006
+0.000180917
+0.000548388
+0.000374924
+-4.13159e-06
+-0.000687938
+0.000215774
+0.00133292
+0.00225013
+0.00232146
+0.0031057
+0.00444965
+0.00469591
+0.00484207
+0.00550807
+0.00651207
+0.00755257
+0.0084474
+0.00957228
+0.0109458
+0.0124532
+0.0140182
+0.0156562
+0.0173245
+0.0190748
+0.0208866
+0.0227471
+0.024575
+0.0264368
+0.0290173
+0.0272531
+0.0255009
+0.0237996
+0.0221652
+0.0206312
+0.018944
+0.0173622
+0.0159207
+0.0146071
+0.0135003
+0.0120812
+0.0108677
+0.00989422
+0.00895351
+0.00828122
+0.00744271
+0.00680849
+0.00571725
+0.00439403
+0.00352257
+0.00338336
+0.00251466
+0.00159777
+0.00110655
+0.00036322
+-0.00019766
+-0.000861226
+-0.000354811
+0.00092367
+0.000176517
+-0.000334552
+0.000296921
+0.0015099
+0.00224587
+0.00197301
+0.0021771
+0.00241394
+0.00198644
+0.00189486
+0.00214821
+0.00255932
+0.00316637
+0.00400603
+0.004955
+0.00574199
+0.00641932
+0.007327
+0.00835358
+0.00955035
+0.0107988
+0.011916
+0.0131548
+0.0139956
+0.0121919
+0.0104919
+0.00896214
+0.00774034
+0.0069498
+0.00673601
+0.00714738
+0.00812187
+0.00947386
+0.0102908
+0.00833862
+0.00639712
+0.00450747
+0.00274197
+0.00119799
+-0.000364607
+-0.000621887
+0.000597868
+0.00134117
+0.00183005
+0.00151287
+0.000999366
+0.000314606
+-0.000687962
+0.000374425
+0.00159131
+0.00174744
+0.00264444
+0.00369208
+0.00363543
+0.00380534
+0.00463322
+0.00585798
+0.00655189
+0.00734843
+0.00838258
+0.00972205
+0.0112453
+0.0128654
+0.0144741
+0.0162197
+0.0179962
+0.0198202
+0.0216477
+0.0235372
+0.025475
+0.028155
+0.0264399
+0.0246549
+0.0229249
+0.0212346
+0.0196308
+0.0180407
+0.0163879
+0.0148572
+0.0135026
+0.0123215
+0.0109361
+0.00962437
+0.00855552
+0.00755128
+0.00690569
+0.00605094
+0.00551002
+0.00438472
+0.00310342
+0.00232539
+0.00246504
+0.00137279
+0.000325944
+-0.000248324
+-0.000803827
+-0.000626791
+0.000275272
+0.00143971
+0.00206884
+0.000164374
+-0.000729603
+-0.000278807
+0.00113506
+0.00129247
+0.00113775
+0.00179586
+0.00154015
+0.00098537
+0.000844762
+0.00105302
+0.00165011
+0.00231543
+0.0031891
+0.00400322
+0.00466851
+0.0053713
+0.00635347
+0.00751818
+0.00878323
+0.0100614
+0.0113241
+0.0125641
+0.0129598
+0.011038
+0.00922637
+0.00750688
+0.00602511
+0.00500123
+0.00468561
+0.0052469
+0.00648173
+0.00805334
+0.00984158
+0.0080637
+0.00605746
+0.00416642
+0.0023116
+0.000578737
+-0.000821641
+0.000459344
+0.00167684
+0.00253268
+0.00297713
+0.00264249
+0.00204688
+0.00122661
+0.000178946
+-0.000405255
+0.000806842
+0.00085964
+0.00217634
+0.00271394
+0.00262354
+0.00292434
+0.00381078
+0.00501924
+0.0052865
+0.00606484
+0.00710955
+0.00849593
+0.010081
+0.011668
+0.0133082
+0.0150791
+0.0169212
+0.0187753
+0.0206952
+0.0226643
+0.0246483
+0.0269751
+0.0255655
+0.0238695
+0.0221728
+0.0204734
+0.0188059
+0.0172433
+0.0156195
+0.014031
+0.0125947
+0.0114009
+0.0100937
+0.00868501
+0.00749784
+0.00643692
+0.0055549
+0.00476745
+0.00424344
+0.00308899
+0.00169696
+0.00133496
+0.00121919
+7.0446e-05
+-0.000895645
+-0.000320317
+0.000270705
+0.00110167
+0.00203903
+0.00319953
+0.00310101
+0.00188064
+0.000125401
+-0.000389997
+0.000759318
+0.000298869
+0.000260807
+0.00109355
+0.000587234
+0.000126722
+-0.000120608
+0.00020887
+0.000781577
+0.00150888
+0.00227235
+0.00285829
+0.00354724
+0.00446171
+0.00550558
+0.00676836
+0.00822285
+0.00950443
+0.0107893
+0.0120499
+0.0116521
+0.0101062
+0.00814761
+0.00627409
+0.00463473
+0.00331514
+0.00284231
+0.00365673
+0.00514869
+0.00699147
+0.0085702
+0.00799977
+0.00601629
+0.00411005
+0.00228998
+0.000786642
+0.000436891
+0.00157257
+0.00277341
+0.00367725
+0.00406256
+0.00374624
+0.00320546
+0.00208917
+0.000806169
+-0.000742938
+-0.000187209
+0.000135685
+0.00145614
+0.00185655
+0.00167246
+0.00189454
+0.00290428
+0.00389954
+0.00403838
+0.00476704
+0.00588218
+0.00725316
+0.00881691
+0.0104602
+0.0121727
+0.0140067
+0.0159312
+0.0179093
+0.0198656
+0.0218665
+0.0239006
+0.025589
+0.0242771
+0.0230348
+0.0213863
+0.0198101
+0.0181728
+0.0165762
+0.0150359
+0.0134523
+0.0119608
+0.0106965
+0.00960986
+0.00813194
+0.00680278
+0.00552532
+0.00443336
+0.00346149
+0.00296421
+0.00181099
+0.000605068
+0.000381691
+-5.01729e-05
+-0.00102705
+3.06094e-05
+0.00121181
+0.00204578
+0.00295509
+0.00399123
+0.00500529
+0.00477161
+0.00301057
+0.000923659
+-0.000500716
+0.000131453
+-0.000715802
+-0.000296713
+0.000316501
+-0.000322646
+-0.000760811
+-0.00078631
+-0.000302602
+0.000295844
+0.00082754
+0.00135553
+0.00184414
+0.00267911
+0.00375023
+0.00486451
+0.00613632
+0.00762274
+0.00910584
+0.0104916
+0.0104516
+0.00985021
+0.00862408
+0.00728639
+0.00532726
+0.00343868
+0.00196112
+0.00157194
+0.00264058
+0.00420947
+0.00576124
+0.00674233
+0.00808892
+0.00669081
+0.00502115
+0.00356939
+0.00274069
+0.00249938
+0.00300491
+0.00373936
+0.00435884
+0.00490742
+0.00483091
+0.00425836
+0.00224322
+0.000175082
+-0.000762114
+-0.00105007
+-0.000674539
+0.000838137
+0.00097272
+0.00061109
+0.00082406
+0.00171996
+0.00289226
+0.00271705
+0.00330968
+0.00453697
+0.00590907
+0.00758352
+0.00931307
+0.0111871
+0.0131592
+0.0151571
+0.0171476
+0.0191818
+0.0212471
+0.0233324
+0.0242781
+0.0229024
+0.0216613
+0.0204928
+0.0190839
+0.0175664
+0.0161253
+0.0146053
+0.0131497
+0.0116844
+0.0104138
+0.00945523
+0.00810738
+0.00660897
+0.00513998
+0.00375882
+0.00253258
+0.00178516
+0.000423575
+-0.000741053
+-0.000562863
+-0.000927838
+0.000144933
+0.00111772
+0.0024147
+0.00381884
+0.00483388
+0.00593518
+0.00687718
+0.00572953
+0.00364863
+0.00165958
+-0.000288759
+-0.00072428
+-0.00150806
+-0.000726202
+-0.000566676
+-0.000271303
+3.76038e-05
+-1.00334e-05
+-0.00054419
+0.000100288
+0.00066899
+0.00114063
+0.00167643
+0.00246693
+0.00351664
+0.00463001
+0.00591716
+0.00741002
+0.0089095
+0.00979784
+0.00892475
+0.00792017
+0.00709441
+0.00556181
+0.00437825
+0.00276781
+0.00097789
+0.000347982
+0.00141343
+0.00318838
+0.00397022
+0.00514745
+0.00681674
+0.00784935
+0.00646224
+0.00541879
+0.00488089
+0.00465836
+0.00495293
+0.00536874
+0.00572518
+0.00594167
+0.00576241
+0.0040906
+0.00198744
+-0.000121175
+-0.00217146
+-0.00213723
+-0.0014471
+0.000201834
+0.00010293
+-0.000406408
+-0.00041527
+0.000337995
+0.00211099
+0.00175668
+0.0019759
+0.00317797
+0.0047145
+0.0065803
+0.00846975
+0.0104551
+0.0125091
+0.0145751
+0.0166219
+0.0186748
+0.020704
+0.0227563
+0.0231008
+0.0216505
+0.0203331
+0.0191761
+0.0180448
+0.0170153
+0.0155973
+0.0143216
+0.0130579
+0.0116941
+0.0104864
+0.0095621
+0.00843443
+0.00700072
+0.00548636
+0.00391098
+0.00228854
+0.000485955
+-0.001051
+-0.00186649
+-0.000817064
+0.000339741
+0.0014291
+0.00256719
+0.00371002
+0.00527489
+0.00669959
+0.00774409
+0.00852504
+0.00644733
+0.00429749
+0.0021881
+0.00024983
+-0.00165401
+-0.00237963
+-0.00116382
+-5.42254e-05
+0.000669747
+0.00109746
+0.00156198
+0.00150723
+0.00158102
+0.00203652
+0.00228207
+0.00267461
+0.00327556
+0.00418827
+0.00514623
+0.00636405
+0.00777153
+0.00921236
+0.00847259
+0.00739403
+0.00616683
+0.00511054
+0.0042259
+0.00258551
+0.00189872
+0.000368789
+-0.000758325
+0.000350586
+0.0019551
+0.00257937
+0.00406057
+0.00595289
+0.00741768
+0.00823819
+0.00744734
+0.00705216
+0.00683719
+0.00701977
+0.00727157
+0.0074417
+0.00733396
+0.00611788
+0.00406661
+0.00203674
+6.74023e-05
+-0.0016761
+-0.0027436
+-0.00212911
+-0.000535378
+-0.000558092
+-0.000684742
+6.20152e-06
+0.000537191
+0.00213209
+0.00166125
+0.000895476
+0.00211083
+0.00396613
+0.00589869
+0.00792372
+0.0100187
+0.0120088
+0.0140068
+0.0160539
+0.0181261
+0.020183
+0.0222638
+0.0220478
+0.0205564
+0.0191639
+0.0179317
+0.0168333
+0.0158254
+0.0150367
+0.013978
+0.0129339
+0.0120583
+0.010891
+0.0100475
+0.00924466
+0.0078986
+0.00617646
+0.00401406
+0.00188024
+-0.000276164
+-0.00202788
+-0.00123921
+0.000589997
+0.0017378
+0.00284045
+0.00399281
+0.005354
+0.00667631
+0.00827279
+0.00967829
+0.00881329
+0.0066374
+0.00446513
+0.00230891
+0.000156546
+-0.00201357
+-0.00171555
+-0.000158086
+0.0010589
+0.00196408
+0.0026189
+0.00367351
+0.00369188
+0.00370541
+0.00405092
+0.00416259
+0.00446481
+0.00488287
+0.00555681
+0.00633896
+0.00735727
+0.00860554
+0.00841502
+0.00705719
+0.00580502
+0.00457966
+0.00336473
+0.00242618
+0.00149976
+-5.18177e-05
+-0.000744845
+-0.00200866
+-0.000909105
+9.94461e-05
+0.00190134
+0.00319743
+0.00434654
+0.00581469
+0.00734893
+0.0088677
+0.00922925
+0.00902176
+0.00913984
+0.00926625
+0.00934393
+0.00841606
+0.00635372
+0.00432459
+0.00236833
+0.000554883
+-0.000883785
+-0.00156913
+-0.0019244
+-0.000294411
+-0.000162178
+0.000577088
+0.00188302
+0.00266812
+0.00348882
+0.00244478
+0.00122886
+0.00197981
+0.00365667
+0.00562272
+0.00762125
+0.0095436
+0.0115552
+0.0136013
+0.0156486
+0.0177203
+0.0198176
+0.0219315
+0.0210262
+0.0195169
+0.0181471
+0.0168809
+0.0157165
+0.0147236
+0.0139238
+0.0132874
+0.0128833
+0.0121299
+0.0116909
+0.010931
+0.00991652
+0.00796354
+0.00594007
+0.00399932
+0.00187846
+-0.000108994
+-0.00199601
+-0.00044908
+0.00153047
+0.00316522
+0.00444394
+0.00564222
+0.00692707
+0.00830604
+0.00972515
+0.0111403
+0.00896678
+0.00680437
+0.00466798
+0.00256101
+0.000639759
+-0.00148158
+-0.000950198
+0.000774419
+0.00227734
+0.00366589
+0.00453089
+0.00550583
+0.00588011
+0.00587387
+0.0061859
+0.00624586
+0.00648624
+0.00681019
+0.0073296
+0.00793786
+0.00877815
+0.00839569
+0.00697362
+0.00570613
+0.00442152
+0.00320308
+0.00190833
+0.000563424
+0.000138537
+-0.000762345
+-0.00245638
+-0.00351654
+-0.00275912
+-0.00095567
+0.000427901
+0.00132143
+0.00281622
+0.00429493
+0.00595634
+0.00771689
+0.00963992
+0.0111959
+0.0112869
+0.0113206
+0.0108643
+0.00881033
+0.00680121
+0.00481791
+0.00295869
+0.00126352
+-6.72173e-05
+-0.00116523
+-0.00172676
+0.000124434
+0.000866599
+0.00197513
+0.00364081
+0.00484044
+0.00523691
+0.00348306
+0.00217207
+0.00225077
+0.0035588
+0.00535151
+0.00725444
+0.00919754
+0.0112321
+0.0133163
+0.0154176
+0.0174592
+0.0195315
+0.0216085
+0.0200573
+0.018599
+0.0171729
+0.0159004
+0.0147409
+0.0137559
+0.0129186
+0.0123348
+0.0119804
+0.0119451
+0.0120286
+0.0112373
+0.00923993
+0.00732189
+0.00546326
+0.00370046
+0.00181972
+0.000325094
+-0.000135402
+0.000824615
+0.00249197
+0.00439733
+0.00595962
+0.00736699
+0.00860525
+0.00995986
+0.0113345
+0.0113519
+0.00919748
+0.00706543
+0.00490667
+0.00277032
+0.000668815
+-0.000974986
+6.70482e-05
+0.00191498
+0.00353195
+0.00514649
+0.00646939
+0.00737875
+0.00806315
+0.00805437
+0.00834951
+0.00838407
+0.00858585
+0.00884289
+0.00928161
+0.00976908
+0.00856548
+0.00687178
+0.00551579
+0.00400315
+0.00289001
+0.00154447
+0.000180475
+-0.00110889
+-0.00194665
+-0.00236686
+-0.00381898
+-0.00535121
+-0.00397402
+-0.00248908
+-0.00164387
+-0.000167024
+0.001285
+0.00316469
+0.00495485
+0.00680032
+0.00879635
+0.0105095
+0.0115883
+0.0125611
+0.0114307
+0.00944171
+0.00748041
+0.0055826
+0.00375853
+0.00209116
+0.000765874
+-0.000603647
+-0.00118929
+0.000598991
+0.00245716
+0.00368211
+0.00502694
+0.00672275
+0.00559505
+0.00401443
+0.00279245
+0.00254043
+0.00353019
+0.00518338
+0.00704478
+0.00897705
+0.0110064
+0.0130879
+0.0151074
+0.0170606
+0.0190602
+0.0210919
+0.018959
+0.0174903
+0.0161607
+0.0149352
+0.0138645
+0.0128829
+0.0121045
+0.0115581
+0.0112428
+0.0112708
+0.0116521
+0.0107838
+0.00872092
+0.00672321
+0.00485886
+0.00319781
+0.00181615
+0.00121346
+0.00182424
+0.00256773
+0.00390965
+0.00554375
+0.00736847
+0.00890981
+0.0103437
+0.0116208
+0.0130197
+0.0110617
+0.00894522
+0.00687542
+0.00484549
+0.002829
+0.000828315
+-0.000251787
+0.000890896
+0.00285251
+0.00490374
+0.00653537
+0.00816762
+0.00930893
+0.0102371
+0.0102392
+0.0105243
+0.0105438
+0.010713
+0.0109323
+0.0110228
+0.00925695
+0.00751426
+0.00574029
+0.0040934
+0.00260529
+0.00119676
+0.000339919
+-0.00098855
+-0.00254
+-0.00393739
+-0.00434682
+-0.00539449
+-0.00676424
+-0.00551529
+-0.00440971
+-0.00322918
+-0.00163453
+0.000199945
+0.00214778
+0.00411355
+0.00618867
+0.00767335
+0.00889426
+0.00991675
+0.0110283
+0.0121733
+0.0102477
+0.00835672
+0.00649424
+0.00466097
+0.00292125
+0.00138946
+-0.000176002
+-8.24997e-05
+0.00126406
+0.00318481
+0.00513469
+0.00668835
+0.00803848
+0.00630016
+0.00486439
+0.00372457
+0.00325207
+0.00383522
+0.00517969
+0.00690007
+0.00879019
+0.0107482
+0.0126539
+0.014602
+0.0165948
+0.018627
+0.0205645
+0.0179436
+0.0164417
+0.0150766
+0.013865
+0.0128107
+0.0119976
+0.0114084
+0.0109767
+0.0107441
+0.0107786
+0.0112378
+0.0105808
+0.0084817
+0.00641761
+0.00444032
+0.00276265
+0.00191392
+0.0022082
+0.00324873
+0.00456654
+0.00558525
+0.00700349
+0.00862756
+0.0103736
+0.0119314
+0.0133487
+0.013071
+0.0109206
+0.00879017
+0.00669866
+0.00463171
+0.00261423
+0.000754193
+0.00026771
+0.00168218
+0.00359026
+0.00561284
+0.00772297
+0.00959264
+0.0112303
+0.0122224
+0.0124261
+0.0126976
+0.0127142
+0.0128603
+0.0116399
+0.00992995
+0.00801283
+0.00618725
+0.00444638
+0.00278478
+0.00126134
+-0.000164195
+-0.00146954
+-0.00261111
+-0.00378339
+-0.00515307
+-0.00646368
+-0.00724093
+-0.00836593
+-0.0073295
+-0.00590216
+-0.00400072
+-0.00232065
+-0.000216785
+0.00163312
+0.00364117
+0.00502968
+0.00602051
+0.00751493
+0.00832276
+0.00948345
+0.0107236
+0.0111977
+0.00935272
+0.0074118
+0.00547743
+0.00369426
+0.00233656
+0.00117328
+0.00133977
+0.00257635
+0.00403527
+0.00586917
+0.00778866
+0.00875393
+0.00712714
+0.0056992
+0.00432893
+0.00361152
+0.00390342
+0.00509338
+0.00671246
+0.00851857
+0.0104161
+0.0123077
+0.0142571
+0.016263
+0.0181876
+0.019786
+0.017017
+0.0154767
+0.0140844
+0.0128288
+0.0118026
+0.0110081
+0.0105231
+0.0102961
+0.010394
+0.010567
+0.0110449
+0.0107489
+0.00867457
+0.0066432
+0.00473001
+0.00318749
+0.00250279
+0.00312545
+0.00446503
+0.00597125
+0.00745703
+0.00865406
+0.0100998
+0.011709
+0.0134175
+0.0149842
+0.0129488
+0.010769
+0.00859469
+0.00643092
+0.004288
+0.00220334
+0.000351968
+0.00050401
+0.00230119
+0.00428587
+0.00637578
+0.00838273
+0.0104001
+0.0124702
+0.0141695
+0.0146142
+0.0148524
+0.0146243
+0.0125615
+0.0105503
+0.00862708
+0.00686599
+0.00507681
+0.00312732
+0.00147084
+-0.00025493
+-0.00152329
+-0.002871
+-0.00401351
+-0.0052964
+-0.00656256
+-0.00792043
+-0.00921486
+-0.00999219
+-0.00792133
+-0.00589874
+-0.00393744
+-0.00222032
+-0.000767295
+0.00115209
+0.00233479
+0.00351609
+0.00467046
+0.00585819
+0.00683002
+0.00781757
+0.00910696
+0.0104925
+0.00992731
+0.00788438
+0.00594513
+0.00422775
+0.00292717
+0.00205257
+0.00231698
+0.00367636
+0.00525232
+0.00701821
+0.00876939
+0.00943809
+0.00784583
+0.00645265
+0.0050228
+0.004139
+0.00417186
+0.00505871
+0.00657773
+0.00827774
+0.0100836
+0.0120005
+0.0139863
+0.0155732
+0.0171355
+0.0187964
+0.0161595
+0.0145966
+0.0131628
+0.0119281
+0.0108683
+0.0101307
+0.0096626
+0.00952503
+0.00975575
+0.0103209
+0.0111496
+0.0112681
+0.00930858
+0.00743785
+0.00578882
+0.004489
+0.00397516
+0.00446365
+0.00569121
+0.0072247
+0.00889853
+0.0104405
+0.0117235
+0.0131969
+0.0147949
+0.0152021
+0.0130309
+0.0108654
+0.00870407
+0.00655894
+0.00444911
+0.00242094
+0.000847804
+0.0011997
+0.00301901
+0.00504967
+0.0070356
+0.00907594
+0.0111352
+0.013223
+0.015242
+0.0168029
+0.0159075
+0.0139179
+0.0119279
+0.0098163
+0.00773611
+0.00570637
+0.0038407
+0.00227783
+0.000298128
+-0.00150728
+-0.0029426
+-0.004388
+-0.00551544
+-0.00680785
+-0.00797189
+-0.00908063
+-0.0102566
+-0.0104358
+-0.00842522
+-0.00652332
+-0.00475477
+-0.00313557
+-0.00148896
+6.70981e-06
+0.00090643
+0.0019292
+0.00304014
+0.00397023
+0.00497356
+0.00610942
+0.00748918
+0.00898651
+0.00995925
+0.0079516
+0.00607187
+0.00447041
+0.00331587
+0.00279642
+0.003253
+0.00452671
+0.00603896
+0.00777171
+0.009673
+0.0102708
+0.00854138
+0.00701771
+0.00560321
+0.00469956
+0.00454026
+0.00522273
+0.00642173
+0.00803757
+0.00979322
+0.0116966
+0.0131537
+0.0145822
+0.0161741
+0.017893
+0.0154719
+0.0138939
+0.0124121
+0.0110997
+0.0100968
+0.00933009
+0.00893246
+0.00893859
+0.00927309
+0.00995949
+0.0108862
+0.0120284
+0.0103109
+0.00865167
+0.0072633
+0.00626955
+0.00590808
+0.00625142
+0.0072074
+0.00859588
+0.0101693
+0.0118858
+0.0134758
+0.0148049
+0.0162943
+0.0155385
+0.0134131
+0.0113125
+0.0092538
+0.00725836
+0.00533795
+0.00372851
+0.00274657
+0.00299649
+0.00424308
+0.00598018
+0.00788163
+0.00988563
+0.011888
+0.0139254
+0.0159745
+0.0173598
+0.0152579
+0.0131809
+0.0111302
+0.00913682
+0.00723869
+0.00514669
+0.00304773
+0.00107718
+-0.00070823
+-0.00251124
+-0.00442211
+-0.00587336
+-0.00729916
+-0.00835354
+-0.00944711
+-0.0101294
+-0.0110335
+-0.0112341
+-0.00936986
+-0.00764616
+-0.00607703
+-0.00415847
+-0.00222156
+-0.000793041
+-4.02581e-05
+0.000770461
+0.00123979
+0.00225121
+0.0032502
+0.00460297
+0.0060215
+0.00780408
+0.00936268
+0.00787055
+0.00600049
+0.00439165
+0.00328529
+0.00288544
+0.00364175
+0.0051339
+0.00677517
+0.00847805
+0.0103263
+0.0109081
+0.00925087
+0.00768355
+0.00633868
+0.00530186
+0.00484954
+0.00520063
+0.00625564
+0.00779857
+0.0095969
+0.010866
+0.0122366
+0.0137512
+0.0154291
+0.0172111
+0.0148903
+0.0132432
+0.0117747
+0.0104744
+0.0094463
+0.00875093
+0.00841271
+0.00848269
+0.0089719
+0.00978195
+0.0108253
+0.0120941
+0.0116319
+0.0101787
+0.00902829
+0.00822395
+0.00794739
+0.00823618
+0.00898338
+0.0101569
+0.0115783
+0.0131805
+0.0148744
+0.0165344
+0.0178921
+0.0161529
+0.0141202
+0.0121361
+0.0102015
+0.00838455
+0.00679048
+0.00554725
+0.00489132
+0.00503286
+0.00594977
+0.00732369
+0.00901486
+0.0108419
+0.0127712
+0.0147629
+0.0167673
+0.0169526
+0.0148413
+0.0127558
+0.0106593
+0.00855863
+0.00651527
+0.00458768
+0.00260374
+0.000568973
+-0.000851798
+-0.0024298
+-0.00426246
+-0.00617278
+-0.00814844
+-0.0101071
+-0.0104986
+-0.0111347
+-0.0120735
+-0.0123212
+-0.0106258
+-0.00870525
+-0.00664959
+-0.00467786
+-0.00288926
+-0.00144095
+-0.000670065
+-0.000462714
+-0.000133145
+0.000769304
+0.00195116
+0.00328276
+0.00492646
+0.00643767
+0.00825496
+0.00820861
+0.00640441
+0.00489608
+0.00379993
+0.0034892
+0.00418521
+0.00556022
+0.00727117
+0.00917802
+0.0111126
+0.0115094
+0.00978124
+0.00821522
+0.00681789
+0.00575042
+0.00525617
+0.00548976
+0.00630967
+0.00760284
+0.00869281
+0.00992751
+0.0114233
+0.0130991
+0.0148639
+0.0166901
+0.0145112
+0.0128154
+0.0112914
+0.0100003
+0.00902151
+0.00836803
+0.00810274
+0.00830699
+0.00885201
+0.0097844
+0.0109609
+0.0122977
+0.0131777
+0.0119146
+0.0109204
+0.0102559
+0.0100355
+0.0102877
+0.0109112
+0.011896
+0.0131583
+0.014609
+0.0162109
+0.0178944
+0.0190031
+0.0170216
+0.0150771
+0.0132099
+0.0114562
+0.00987217
+0.00855456
+0.00753335
+0.00706431
+0.0071609
+0.00785969
+0.00897931
+0.0104146
+0.0120707
+0.0138626
+0.0157265
+0.0176657
+0.0167706
+0.0146411
+0.0125324
+0.0104575
+0.00844078
+0.00645108
+0.00452272
+0.00279164
+0.00131658
+-0.00055658
+-0.0024442
+-0.00439736
+-0.00644367
+-0.0081797
+-0.0082054
+-0.00871277
+-0.00925255
+-0.0100665
+-0.011112
+-0.0113876
+-0.00939001
+-0.00743606
+-0.00559181
+-0.00373593
+-0.00213682
+-0.00117585
+-0.000887879
+-0.000722331
+-0.000285196
+0.000857806
+0.00246922
+0.00378853
+0.00543486
+0.00718732
+0.00865638
+0.00734238
+0.00599725
+0.00505444
+0.00478848
+0.00535114
+0.00654033
+0.00807718
+0.00983833
+0.0117255
+0.0121798
+0.0104311
+0.00885972
+0.00751392
+0.00632285
+0.00562867
+0.00555663
+0.00615064
+0.00703124
+0.00800203
+0.00936334
+0.0109775
+0.01268
+0.0144934
+0.0163522
+0.0142981
+0.0126982
+0.0111812
+0.00988403
+0.00890679
+0.00827603
+0.0081186
+0.00835181
+0.00906028
+0.0100718
+0.0112688
+0.0126608
+0.014176
+0.0137808
+0.0128998
+0.0123423
+0.0121598
+0.0123688
+0.0129153
+0.0137575
+0.0148691
+0.0161941
+0.0176631
+0.0192611
+0.019964
+0.0180706
+0.016252
+0.0145351
+0.0129572
+0.0115803
+0.0104295
+0.00960881
+0.00924567
+0.00931803
+0.00986519
+0.0108267
+0.0120438
+0.0135087
+0.0151437
+0.0169042
+0.0187281
+0.01666
+0.0145809
+0.0125398
+0.0104451
+0.00835702
+0.00625346
+0.00413402
+0.00204172
+3.09583e-05
+-0.00167842
+-0.00338137
+-0.00524417
+-0.0066452
+-0.00605723
+-0.00609066
+-0.00659791
+-0.00722348
+-0.00810354
+-0.0092265
+-0.0104468
+-0.0103115
+-0.00836483
+-0.0063549
+-0.00440352
+-0.00270035
+-0.0016485
+-0.00139198
+-0.000858
+-0.000732108
+7.62317e-05
+0.00121832
+0.00261453
+0.00432268
+0.00587463
+0.00760943
+0.00868605
+0.00751002
+0.00673274
+0.00649547
+0.00696669
+0.0079214
+0.00928791
+0.0108969
+0.0126272
+0.0129617
+0.0112595
+0.0096368
+0.00815986
+0.00691746
+0.00607178
+0.00576446
+0.00598722
+0.00667964
+0.0078147
+0.0092196
+0.0108522
+0.012584
+0.0144077
+0.0162808
+0.0143627
+0.0127688
+0.0113494
+0.0100831
+0.00917198
+0.00864145
+0.0085213
+0.0087849
+0.00944122
+0.0105019
+0.0118122
+0.0132526
+0.0147475
+0.0157105
+0.0149382
+0.0144596
+0.0143041
+0.0144822
+0.0149682
+0.0157007
+0.0166905
+0.0178829
+0.0192497
+0.0207302
+0.0210942
+0.019312
+0.0176199
+0.0160462
+0.0146321
+0.0134162
+0.0124077
+0.0117263
+0.0114306
+0.0114879
+0.011936
+0.01275
+0.013829
+0.015122
+0.0166044
+0.0182252
+0.0185088
+0.0163715
+0.0142503
+0.0121539
+0.010097
+0.00801663
+0.00588251
+0.00378806
+0.00168085
+-0.000332231
+-0.00212827
+-0.00354581
+-0.0047128
+-0.00479025
+-0.00400295
+-0.00402874
+-0.00445192
+-0.00520001
+-0.00625856
+-0.00739701
+-0.0086874
+-0.00858893
+-0.00777298
+-0.00695234
+-0.00513965
+-0.00328771
+-0.00166477
+-0.00127177
+-0.00125417
+-0.000851959
+-0.000612952
+0.000606036
+0.0015209
+0.00305887
+0.00491037
+0.0064603
+0.00828834
+0.00925313
+0.00859731
+0.00841279
+0.00878832
+0.00959614
+0.010765
+0.0122042
+0.0137949
+0.0138805
+0.0121373
+0.0104612
+0.00883189
+0.0074664
+0.00646452
+0.00578166
+0.00571259
+0.00629186
+0.00737308
+0.00878728
+0.0103766
+0.0121367
+0.0139667
+0.0158766
+0.0147016
+0.0131405
+0.0117645
+0.0105481
+0.00968084
+0.00926141
+0.00926938
+0.00955074
+0.0102211
+0.0112098
+0.0124375
+0.0138994
+0.0155327
+0.0171286
+0.0170146
+0.016596
+0.0164607
+0.0166156
+0.017053
+0.0177017
+0.0185853
+0.0196709
+0.0209213
+0.0223166
+0.0223824
+0.0207086
+0.0191381
+0.0176999
+0.0164288
+0.0153221
+0.0144473
+0.0138665
+0.0136174
+0.0136644
+0.0140432
+0.0147413
+0.0157162
+0.016866
+0.0182069
+0.0197008
+0.0178521
+0.0157675
+0.0137079
+0.0116957
+0.00974091
+0.00790203
+0.00601347
+0.0039926
+0.00213546
+0.000621334
+-0.000813809
+-0.00233171
+-0.00334526
+-0.0031821
+-0.00208342
+-0.00199443
+-0.00233727
+-0.00323929
+-0.00435065
+-0.00561217
+-0.00665431
+-0.00645974
+-0.00584613
+-0.00492395
+-0.00393176
+-0.00246053
+-0.000546223
+8.42713e-05
+-0.000424208
+-0.000961512
+-0.000826848
+-0.00024169
+0.000766342
+0.00224665
+0.00368028
+0.00555944
+0.00730888
+0.00896606
+0.0105875
+0.0104382
+0.0107432
+0.0114465
+0.0124427
+0.0137192
+0.0151743
+0.0143514
+0.0126653
+0.0108213
+0.00911448
+0.00756112
+0.0063662
+0.00562602
+0.00545762
+0.00596242
+0.00705333
+0.00849993
+0.0101695
+0.0119158
+0.0137877
+0.0157242
+0.0153404
+0.0138449
+0.0125214
+0.0114216
+0.0106259
+0.0102453
+0.010316
+0.010675
+0.0113058
+0.0122059
+0.0133829
+0.0147516
+0.0163006
+0.0179836
+0.0191165
+0.0187449
+0.0186252
+0.0187623
+0.0191506
+0.0197431
+0.0205391
+0.0215294
+0.0226814
+0.023975
+0.0237998
+0.0222318
+0.0207768
+0.0194601
+0.0182971
+0.0172957
+0.0165257
+0.0160204
+0.0158052
+0.0158448
+0.0161726
+0.0167823
+0.0176448
+0.0187041
+0.0199218
+0.0194997
+0.0173424
+0.0151947
+0.0130613
+0.0109504
+0.00887839
+0.00685399
+0.00491245
+0.00313125
+0.0014791
+-9.56424e-06
+-0.00108264
+-0.00227677
+-0.00265315
+-0.00182414
+-0.00048674
+0.000139051
+-0.000301854
+-0.00134908
+-0.00254352
+-0.00382236
+-0.00455528
+-0.00434339
+-0.0038095
+-0.00293801
+-0.00215773
+-0.000914269
+0.000624674
+0.00148608
+0.000714268
+-3.58829e-05
+-0.000361197
+-0.000944911
+0.00031671
+0.00175233
+0.00334367
+0.00487289
+0.00642622
+0.00824363
+0.0101731
+0.0121912
+0.0127748
+0.0133886
+0.0142602
+0.0153867
+0.0166966
+0.0148413
+0.0129234
+0.0110498
+0.00930216
+0.00777372
+0.00651717
+0.00577913
+0.00565504
+0.00619362
+0.00723483
+0.00859622
+0.0102128
+0.0119991
+0.0138756
+0.0158228
+0.0162219
+0.0147869
+0.0135555
+0.0125877
+0.0118825
+0.0115245
+0.0115156
+0.0118793
+0.0125799
+0.0134694
+0.0145496
+0.0158493
+0.0173034
+0.0188973
+0.0206011
+0.0209024
+0.0207952
+0.0209181
+0.0212671
+0.0218135
+0.0225364
+0.0234425
+0.024511
+0.0257127
+0.0253266
+0.0238591
+0.0225096
+0.0213002
+0.0202177
+0.0193161
+0.0186298
+0.018183
+0.0179938
+0.0180277
+0.0183165
+0.018857
+0.0196286
+0.0206051
+0.0213442
+0.0191705
+0.0169992
+0.0148322
+0.0126734
+0.0105277
+0.00839572
+0.00624499
+0.00413424
+0.00209091
+0.000153214
+-0.00145324
+-0.0029505
+-0.0034083
+-0.0031874
+-0.00144946
+0.000445147
+0.00219102
+0.00163206
+0.000516868
+-0.000831459
+-0.00197503
+-0.00249342
+-0.00227467
+-0.0018146
+-0.00103012
+-0.000243949
+0.000752777
+0.00210223
+0.00254134
+0.00159184
+0.000676068
+0.000161543
+-0.000484987
+-0.000202187
+0.00120199
+0.00268946
+0.00440166
+0.00610857
+0.00784982
+0.00975786
+0.0117648
+0.0138001
+0.0153829
+0.0161592
+0.0171614
+0.0170448
+0.0150289
+0.0130694
+0.0111959
+0.00945971
+0.00790399
+0.00665176
+0.00593615
+0.00581737
+0.00637779
+0.00747203
+0.00894562
+0.0105841
+0.0123075
+0.0141526
+0.0160846
+0.0173123
+0.0159755
+0.0148431
+0.0139339
+0.0132895
+0.0129542
+0.0129463
+0.0132908
+0.0139205
+0.0148497
+0.0159251
+0.0171261
+0.0185044
+0.02001
+0.0216263
+0.0230662
+0.0229691
+0.0230804
+0.0233972
+0.0239053
+0.0245668
+0.0254005
+0.0263903
+0.0275152
+0.0269451
+0.0255707
+0.0243163
+0.0231854
+0.0221883
+0.0213701
+0.0207518
+0.0203517
+0.0201828
+0.0202122
+0.0204702
+0.0209553
+0.0216522
+0.0225413
+0.021197
+0.0190087
+0.0168189
+0.014629
+0.0124393
+0.0102501
+0.00806165
+0.00587473
+0.00369053
+0.00151624
+-0.00060291
+-0.00261459
+-0.00435824
+-0.00488223
+-0.00379377
+-0.00170892
+0.000412938
+0.0025999
+0.00353571
+0.00221884
+0.000985454
+5.31734e-06
+-0.000446055
+-0.000274808
+0.000176991
+0.000808017
+0.00166979
+0.00241496
+0.00348386
+0.00350725
+0.00254529
+0.00169305
+0.000850651
+0.000144606
+0.000132319
+0.00104581
+0.00250851
+0.00406886
+0.00565903
+0.00739931
+0.00930415
+0.011313
+0.0133682
+0.0154598
+0.0175755
+0.0190185
+0.0172977
+0.0153085
+0.0133542
+0.0114856
+0.00975206
+0.00823914
+0.00705032
+0.006409
+0.00637924
+0.0070229
+0.00812793
+0.00954402
+0.0111366
+0.0128423
+0.0146617
+0.0165661
+0.0185978
+0.0173603
+0.0163182
+0.0154642
+0.0148862
+0.0145742
+0.0145671
+0.0148861
+0.0154566
+0.0162984
+0.0173773
+0.018574
+0.0198523
+0.0212796
+0.0228165
+0.0244436
+0.0251459
+0.0252477
+0.0255376
+0.0260094
+0.0266225
+0.0273938
+0.028314
+0.029369
+0.0286398
+0.0273507
+0.0261818
+0.0251143
+0.0241969
+0.0234488
+0.0228868
+0.0225246
+0.0223721
+0.022398
+0.0226311
+0.0230708
+0.0237056
+0.0234194
+0.0212341
+0.0190501
+0.0168678
+0.0146879
+0.0125119
+0.0103421
+0.00818342
+0.00604759
+0.00395038
+0.00203021
+0.000119895
+-0.00188475
+-0.00400106
+-0.00436697
+-0.00277052
+-0.00101634
+0.000857857
+0.00294569
+0.00506949
+0.00394715
+0.00285572
+0.00200282
+0.00160964
+0.00173753
+0.0020814
+0.00277079
+0.0035661
+0.00417734
+0.00507215
+0.00463432
+0.00364303
+0.0027311
+0.00140859
+0.00104901
+0.00106463
+0.00136122
+0.00257089
+0.00396059
+0.00546701
+0.00725351
+0.00918862
+0.0112181
+0.013288
+0.0153905
+0.0175146
+0.0196534
+0.0176827
+0.0157183
+0.0138222
+0.0120265
+0.0103801
+0.00893971
+0.00785419
+0.007284
+0.00723614
+0.00781493
+0.00884321
+0.0102104
+0.0118166
+0.0135775
+0.0153483
+0.017195
+0.020041
+0.0188982
+0.0179129
+0.0171386
+0.0166189
+0.0163279
+0.0163216
+0.0166069
+0.0171356
+0.0178987
+0.0188863
+0.0200654
+0.0213404
+0.0226742
+0.0241335
+0.0256878
+0.0273201
+0.0274186
+0.0276858
+0.0281217
+0.0286983
+0.0294152
+0.030274
+0.0312629
+0.030398
+0.0291867
+0.0280773
+0.0270831
+0.0262346
+0.0255463
+0.0250314
+0.0247007
+0.0245617
+0.0245847
+0.0247972
+0.0251992
+0.0256406
+0.0236567
+0.0214956
+0.0193411
+0.0171958
+0.0150629
+0.0129428
+0.0108456
+0.0087718
+0.00677196
+0.00483891
+0.00268765
+0.000566029
+-0.00112847
+-0.00261708
+-0.00272477
+-0.00149358
+0.000221134
+0.00201692
+0.00380761
+0.00574598
+0.00583138
+0.00477077
+0.00402273
+0.00367883
+0.00375388
+0.00403176
+0.00459577
+0.00539755
+0.00609429
+0.00652067
+0.00572762
+0.00475756
+0.00376377
+0.00266248
+0.00189684
+0.00207078
+0.00238612
+0.00331039
+0.00465717
+0.00602592
+0.00769
+0.00953673
+0.011502
+0.0135365
+0.0156132
+0.0177175
+0.01984
+0.0182783
+0.0163907
+0.0145835
+0.0128707
+0.0113238
+0.01002
+0.00906475
+0.00853221
+0.00848008
+0.00896979
+0.00988488
+0.0111338
+0.0126337
+0.014311
+0.0160972
+0.0179731
+0.0216102
+0.0205377
+0.0196229
+0.0189187
+0.0184443
+0.0181767
+0.018171
+0.0184277
+0.0189196
+0.0196134
+0.0205186
+0.0216089
+0.0228571
+0.0241872
+0.0255602
+0.0270337
+0.0285895
+0.0295925
+0.0298402
+0.030245
+0.03079
+0.0314592
+0.0322636
+0.0331934
+0.0322093
+0.0310666
+0.0300116
+0.0290836
+0.0282952
+0.0276582
+0.0271833
+0.0268791
+0.0267515
+0.026772
+0.0269673
+0.0255025
+0.0240019
+0.0226142
+0.0213231
+0.0198213
+0.0177208
+0.0156446
+0.0136002
+0.0116055
+0.00957984
+0.00748392
+0.00545095
+0.00353286
+0.00188845
+0.000336383
+-0.000888742
+-0.000979307
+8.79323e-05
+0.00145353
+0.00314642
+0.00499088
+0.00685223
+0.00764622
+0.00668364
+0.00606673
+0.00574311
+0.00581852
+0.00598997
+0.00643861
+0.00709772
+0.00777423
+0.00788292
+0.00712171
+0.00606345
+0.00514764
+0.00384672
+0.0029165
+0.00303359
+0.00310411
+0.00412575
+0.00552814
+0.00714318
+0.00861978
+0.0103017
+0.0121449
+0.0140868
+0.0160927
+0.0181414
+0.0202199
+0.0190828
+0.0172832
+0.0155592
+0.0139665
+0.0125554
+0.0113778
+0.0105218
+0.0100497
+0.0100054
+0.0104237
+0.0112209
+0.0123596
+0.0137339
+0.0152927
+0.0169915
+0.0187906
+0.0232792
+0.0222617
+0.0214206
+0.0207774
+0.0203368
+0.0200943
+0.0200892
+0.0203217
+0.0207812
+0.021415
+0.0222471
+0.0232565
+0.0244211
+0.0257161
+0.0270891
+0.0284843
+0.0299648
+0.0315282
+0.0319996
+0.0323774
+0.0328945
+0.0335218
+0.0342778
+0.0351543
+0.0340651
+0.0329711
+0.031979
+0.0311098
+0.030374
+0.0297815
+0.029341
+0.0290594
+0.0288525
+0.0271651
+0.0255542
+0.0240248
+0.0224575
+0.0209678
+0.019594
+0.0183465
+0.0172873
+0.0164023
+0.0144089
+0.0123554
+0.0103446
+0.00840707
+0.00660413
+0.00485519
+0.00312198
+0.00167783
+0.000984793
+0.000815488
+0.00167649
+0.00288671
+0.00440947
+0.00614691
+0.00795022
+0.00944459
+0.00854646
+0.00797492
+0.0077441
+0.00769668
+0.00783072
+0.0081759
+0.00882012
+0.00953582
+0.00940752
+0.00861076
+0.00772711
+0.00642103
+0.00518654
+0.00446902
+0.00408538
+0.00425377
+0.00515784
+0.00648897
+0.00801979
+0.00976231
+0.0113782
+0.0130745
+0.0149002
+0.0168134
+0.0187873
+0.0208041
+0.0200796
+0.0183568
+0.0167436
+0.0152749
+0.0139856
+0.0129326
+0.0121862
+0.0117762
+0.0117385
+0.0121017
+0.0127947
+0.0138042
+0.0150667
+0.0165067
+0.0180919
+0.0197929
+0.025006
+0.0240617
+0.0232857
+0.0226954
+0.0222839
+0.0220628
+0.0220582
+0.0222701
+0.0226925
+0.0232835
+0.024051
+0.0249876
+0.0260751
+0.0272953
+0.028625
+0.0300228
+0.0314328
+0.0329265
+0.0341629
+0.034517
+0.035005
+0.0355997
+0.0363125
+0.0370783
+0.035954
+0.0349092
+0.0339738
+0.0331569
+0.0324675
+0.0319139
+0.0311315
+0.0292971
+0.027515
+0.0257811
+0.0240778
+0.0224592
+0.0209321
+0.0194293
+0.0179557
+0.0165964
+0.0154177
+0.0144494
+0.0137275
+0.0132651
+0.0112974
+0.00936816
+0.00757426
+0.00581552
+0.00425323
+0.00320143
+0.00258423
+0.00252289
+0.00313538
+0.00433986
+0.00573596
+0.0073482
+0.00908731
+0.0109112
+0.0104629
+0.00999957
+0.00966817
+0.00951549
+0.00967035
+0.00996926
+0.010511
+0.0112505
+0.0109762
+0.0101031
+0.00898769
+0.00786394
+0.00682073
+0.00607676
+0.00561919
+0.00584213
+0.00654261
+0.00771881
+0.00921064
+0.0107877
+0.0125251
+0.0142647
+0.0159549
+0.0177547
+0.0196342
+0.0215725
+0.0212379
+0.0196171
+0.0181165
+0.0167611
+0.0155881
+0.0146508
+0.0139963
+0.0136294
+0.0135968
+0.0139135
+0.0145292
+0.0154256
+0.016565
+0.0179011
+0.0193784
+0.0209753
+0.0268008
+0.0259219
+0.0252033
+0.024659
+0.0242726
+0.0240698
+0.0240656
+0.0242599
+0.0246483
+0.0252039
+0.0259147
+0.0267862
+0.0278033
+0.0289508
+0.0302138
+0.0315699
+0.0329807
+0.0344076
+0.0359113
+0.0366627
+0.0371225
+0.0376903
+0.0383643
+0.0389486
+0.0378662
+0.0368757
+0.0359913
+0.0352213
+0.033945
+0.0319722
+0.0300296
+0.0281235
+0.0262618
+0.0244547
+0.0227152
+0.0209937
+0.019365
+0.0178412
+0.0164272
+0.0149627
+0.0136437
+0.0125699
+0.0117384
+0.0112465
+0.0111091
+0.0102079
+0.00850646
+0.00692723
+0.00564919
+0.00471233
+0.0041877
+0.00414163
+0.00470083
+0.00576607
+0.0070996
+0.00863486
+0.0102673
+0.0119882
+0.0124685
+0.0119756
+0.0115854
+0.0113726
+0.0114884
+0.0118923
+0.012354
+0.0129868
+0.0126053
+0.0115499
+0.0104362
+0.00938157
+0.00863845
+0.00774844
+0.00739512
+0.00758897
+0.00825936
+0.00924715
+0.0105606
+0.0120776
+0.013675
+0.015416
+0.0172249
+0.0189042
+0.0206795
+0.022528
+0.0225501
+0.0210306
+0.0196333
+0.0183828
+0.01732
+0.0164814
+0.0159022
+0.0155706
+0.0155421
+0.0158198
+0.0163734
+0.0171739
+0.0182042
+0.0194278
+0.0208107
+0.0223107
+0.0286507
+0.0278303
+0.0271622
+0.0266579
+0.0262934
+0.0261063
+0.0261024
+0.0262817
+0.0266406
+0.0271653
+0.027826
+0.0286394
+0.0295929
+0.0306735
+0.0318683
+0.0331649
+0.0345416
+0.0359612
+0.0374025
+0.0388135
+0.039248
+0.0397918
+0.0404307
+0.0408441
+0.0398071
+0.0388661
+0.037155
+0.0351005
+0.0330634
+0.0310473
+0.0290513
+0.0270765
+0.0251374
+0.0232431
+0.0214053
+0.0196401
+0.0179143
+0.0162724
+0.0147534
+0.0133863
+0.012008
+0.0107729
+0.0098353
+0.00926573
+0.00909592
+0.00919456
+0.00876534
+0.00812455
+0.00705504
+0.00620764
+0.00563895
+0.0057026
+0.00624568
+0.00722722
+0.00856266
+0.00924473
+0.0101895
+0.0114399
+0.0129415
+0.0138567
+0.0134598
+0.0132905
+0.0133713
+0.0137537
+0.0142444
+0.0148066
+0.0141242
+0.0131698
+0.0120433
+0.0110926
+0.0102412
+0.00960045
+0.00931764
+0.00947641
+0.0100893
+0.0109781
+0.0121068
+0.0134829
+0.0150272
+0.0166293
+0.0183535
+0.0201202
+0.0218947
+0.0236484
+0.0239909
+0.0225654
+0.0212617
+0.0201126
+0.0191461
+0.018391
+0.0178664
+0.0175705
+0.0175452
+0.0177917
+0.0182943
+0.019014
+0.0199495
+0.021072
+0.0223535
+0.0237681
+0.0305457
+0.0297775
+0.0291541
+0.0286797
+0.0283395
+0.028166
+0.0281624
+0.0283287
+0.0286619
+0.0291564
+0.0297758
+0.0305373
+0.0314333
+0.0324527
+0.0335843
+0.034817
+0.0361406
+0.0375338
+0.0389598
+0.0404129
+0.0413803
+0.0419023
+0.0425096
+0.042762
+0.0406957
+0.038581
+0.0364752
+0.0343801
+0.0322977
+0.0302305
+0.0281821
+0.0261567
+0.0241579
+0.0221821
+0.0202483
+0.0183723
+0.0165736
+0.0148428
+0.0131824
+0.0116711
+0.0103499
+0.00914854
+0.00807144
+0.00737645
+0.00716248
+0.00712835
+0.00660396
+0.00659174
+0.00706741
+0.00653874
+0.00600902
+0.00609842
+0.00680072
+0.00646587
+0.0066048
+0.00728092
+0.00839554
+0.00987348
+0.0115151
+0.0133106
+0.0152101
+0.0152625
+0.0153362
+0.0156163
+0.0153767
+0.0146796
+0.0142713
+0.0141583
+0.0137061
+0.012806
+0.0120054
+0.0115421
+0.0113083
+0.0114443
+0.0119614
+0.0128365
+0.0138277
+0.0150472
+0.0164691
+0.0179871
+0.0195921
+0.0213017
+0.023061
+0.0248636
+0.0255367
+0.0241948
+0.0229836
+0.021925
+0.0210419
+0.0203572
+0.0198767
+0.0196112
+0.0195886
+0.0198097
+0.0202666
+0.0209218
+0.0217755
+0.0228083
+0.0239972
+0.0253202
+0.0324779
+0.0317565
+0.0311727
+0.0307231
+0.0304057
+0.0302441
+0.0302407
+0.0303956
+0.0307065
+0.0311685
+0.031757
+0.0324721
+0.0333161
+0.0342796
+0.0353527
+0.0365258
+0.0377896
+0.0391353
+0.0405418
+0.0419729
+0.0434357
+0.0440156
+0.0444946
+0.042343
+0.0401956
+0.0380531
+0.0359164
+0.0337867
+0.0316652
+0.0295539
+0.027455
+0.0253716
+0.0233079
+0.0212696
+0.0192646
+0.01729
+0.0153652
+0.0135215
+0.0117852
+0.0100973
+0.0086002
+0.00736498
+0.00647391
+0.00563004
+0.00537322
+0.00509127
+0.00445794
+0.00444002
+0.00507755
+0.00456681
+0.00383561
+0.00397864
+0.00491284
+0.00442001
+0.00454959
+0.00540558
+0.00682536
+0.00848638
+0.0103439
+0.0123114
+0.0142552
+0.0162494
+0.016594
+0.0153519
+0.0143273
+0.0135765
+0.013134
+0.013011
+0.0132541
+0.0137106
+0.0138849
+0.0134863
+0.0133545
+0.013472
+0.0139139
+0.014673
+0.015649
+0.0167525
+0.0180405
+0.0194903
+0.0209869
+0.0225912
+0.0242873
+0.0260384
+0.0271645
+0.025907
+0.0247797
+0.0238011
+0.0229902
+0.0223652
+0.0219217
+0.0216812
+0.0216607
+0.0218609
+0.0222757
+0.0228803
+0.0236634
+0.0246172
+0.0257226
+0.0264495
+0.0344411
+0.0337617
+0.0332131
+0.0327855
+0.0324883
+0.032337
+0.0323339
+0.0324788
+0.0327699
+0.0332033
+0.0337642
+0.0344376
+0.0352346
+0.0361469
+0.0371662
+0.0382838
+0.0394913
+0.0407809
+0.0421445
+0.0435625
+0.0449975
+0.0461356
+0.0441465
+0.0419771
+0.0398099
+0.0376455
+0.0354843
+0.0333269
+0.0311742
+0.0290271
+0.0268872
+0.024756
+0.0226363
+0.0205315
+0.0184466
+0.0163894
+0.0143717
+0.0124024
+0.0104964
+0.00872246
+0.00702371
+0.00555946
+0.00453188
+0.00410248
+0.00390437
+0.003192
+0.00231946
+0.00231206
+0.0031937
+0.00279844
+0.00168255
+0.0019249
+0.00321697
+0.00250112
+0.0026557
+0.00385209
+0.00553505
+0.00748437
+0.00942172
+0.0114195
+0.0134773
+0.0155715
+0.015922
+0.0146204
+0.0135499
+0.0127573
+0.0122627
+0.0121309
+0.0123515
+0.0129106
+0.013524
+0.0133129
+0.0134598
+0.013933
+0.0146782
+0.0156961
+0.0169377
+0.0183576
+0.0197303
+0.0210641
+0.0222674
+0.023583
+0.0250141
+0.026549
+0.0281707
+0.0276868
+0.0266349
+0.025727
+0.0249787
+0.0244047
+0.0239924
+0.0237729
+0.0237542
+0.0239369
+0.0243163
+0.0247073
+0.024902
+0.0252857
+0.0258341
+0.0265329
+0.0364302
+0.0357886
+0.0352716
+0.0348635
+0.0345842
+0.0344421
+0.0344392
+0.0345753
+0.0348489
+0.0352567
+0.0357926
+0.0364288
+0.0371831
+0.0380488
+0.0390183
+0.0400843
+0.0412392
+0.0424758
+0.0437871
+0.0451643
+0.0465934
+0.046088
+0.0439051
+0.0417231
+0.039542
+0.0373621
+0.0351835
+0.0330064
+0.0308314
+0.0286586
+0.0264889
+0.0243229
+0.0221618
+0.0200071
+0.0178611
+0.0157276
+0.0136121
+0.0115248
+0.00948425
+0.00752321
+0.00566141
+0.00398756
+0.00265071
+0.00219162
+0.00272031
+0.00160423
+0.000226022
+0.000221416
+0.00156557
+0.00130264
+-0.000263561
+0.000237341
+0.00190917
+0.000971962
+0.0011763
+0.00269119
+0.00459503
+0.0066234
+0.00865642
+0.0107408
+0.0128556
+0.0149805
+0.0155242
+0.0141862
+0.0130802
+0.0122211
+0.0116852
+0.0115468
+0.0117783
+0.0123634
+0.0127757
+0.012552
+0.0126941
+0.0131477
+0.013935
+0.0150034
+0.0162978
+0.0177689
+0.0193763
+0.0206258
+0.0218274
+0.0231681
+0.0246233
+0.026181
+0.0278242
+0.0295219
+0.0285377
+0.0276922
+0.0269984
+0.0264649
+0.0260827
+0.0258048
+0.0253597
+0.0250769
+0.0249137
+0.0249149
+0.025108
+0.0254886
+0.0260485
+0.0267764
+0.0384413
+0.0378338
+0.0373449
+0.0369546
+0.0366911
+0.0365573
+0.0365545
+0.0366828
+0.0369407
+0.0373257
+0.0378338
+0.0384417
+0.0391572
+0.0399802
+0.040904
+0.0419221
+0.0430277
+0.0442142
+0.0454754
+0.0468052
+0.0481506
+0.0459613
+0.0437721
+0.0415831
+0.0393943
+0.0372057
+0.0350174
+0.0328293
+0.0306417
+0.0284545
+0.0262679
+0.0240821
+0.0218972
+0.0197136
+0.0175317
+0.0153524
+0.0131769
+0.0110074
+0.00884827
+0.00670969
+0.00462022
+0.00267061
+0.00104563
+0.000671741
+0.00172754
+0.000506116
+-0.00137992
+-0.00152019
+0.000245345
+0.000208104
+-0.0016696
+-0.00114298
+0.000920073
+0.00035783
+-0.000270768
+0.00176425
+0.00385443
+0.00596984
+0.00812313
+0.0102922
+0.0124396
+0.014592
+0.0154057
+0.0140571
+0.012941
+0.0120467
+0.0115026
+0.011361
+0.0115669
+0.0121621
+0.0123372
+0.0121055
+0.0122259
+0.0126963
+0.0135098
+0.0146094
+0.0159359
+0.0174375
+0.0190729
+0.0203868
+0.0216017
+0.0229556
+0.0244234
+0.0259932
+0.0276475
+0.0293722
+0.0304792
+0.0295103
+0.0284577
+0.0275368
+0.0267639
+0.0261521
+0.0257131
+0.0254342
+0.0252827
+0.0253111
+0.0255012
+0.025876
+0.0264277
+0.0271415
+0.040471
+0.0398944
+0.0394261
+0.0390566
+0.0388074
+0.0386809
+0.0386783
+0.0387995
+0.0390435
+0.0394079
+0.0398895
+0.040473
+0.0411533
+0.0419371
+0.0428187
+0.0437923
+0.0448518
+0.0459913
+0.0472051
+0.0484875
+0.0481292
+0.0459389
+0.0437486
+0.0415584
+0.0393681
+0.037178
+0.0349879
+0.0327979
+0.030608
+0.0284183
+0.0262287
+0.0240392
+0.0218501
+0.0196612
+0.0174729
+0.0152852
+0.0130985
+0.0109133
+0.00873004
+0.00654933
+0.00437507
+0.00222768
+0.000284279
+0.000434587
+0.00162222
+0.000204171
+-0.00139374
+-0.00130625
+0.000301808
+0.000263151
+-0.00113636
+-0.000708742
+0.00102124
+0.000332426
+-0.000850808
+0.00131133
+0.00347454
+0.00565456
+0.0078361
+0.0100195
+0.0122054
+0.0143929
+0.0155788
+0.0142467
+0.0131467
+0.0122674
+0.0117325
+0.0115228
+0.0117175
+0.0123055
+0.0122635
+0.0120312
+0.012141
+0.0126145
+0.013433
+0.0145384
+0.0158708
+0.0173781
+0.0190095
+0.0203818
+0.021597
+0.0229512
+0.0244193
+0.0259893
+0.0276439
+0.0293687
+0.0311323
+0.0299775
+0.0289393
+0.0280342
+0.0272754
+0.0266754
+0.0262451
+0.0259719
+0.0258237
+0.0258608
+0.0260725
+0.0264392
+0.0269794
+0.0276687
+0.0425167
+0.0419682
+0.0415185
+0.0411678
+0.0409315
+0.0408116
+0.0408091
+0.040924
+0.0411554
+0.0415013
+0.0419588
+0.0425202
+0.0431682
+0.0439161
+0.0447587
+0.045691
+0.0467075
+0.0478028
+0.0489716
+0.0502089
+0.0482074
+0.0460204
+0.0438334
+0.0416464
+0.0394598
+0.0372736
+0.035088
+0.0329031
+0.030719
+0.0285359
+0.026354
+0.0241738
+0.0219956
+0.0198202
+0.0176486
+0.0154824
+0.0133241
+0.0111785
+0.00905444
+0.00697179
+0.00498269
+0.00318781
+0.00203566
+0.00201095
+0.00277246
+0.00138961
+0.000770884
+0.000837389
+0.00164398
+0.00160199
+0.00103062
+0.00123142
+0.00221168
+0.00143675
+0.00106425
+0.00197054
+0.00383187
+0.00587953
+0.00800242
+0.0101542
+0.0123196
+0.0144927
+0.0160519
+0.0147625
+0.0136785
+0.0128332
+0.0122863
+0.0120781
+0.012264
+0.0127869
+0.0125399
+0.012312
+0.0124284
+0.0128895
+0.0136898
+0.0147744
+0.0160858
+0.0175723
+0.0191584
+0.0206037
+0.0218066
+0.0231481
+0.0246101
+0.0261694
+0.0278133
+0.0295282
+0.0312828
+0.0305924
+0.0295758
+0.0286908
+0.0279498
+0.0273646
+0.0269425
+0.0266793
+0.026535
+0.0265711
+0.0267784
+0.0271356
+0.0276622
+0.0283487
+0.0445761
+0.0440533
+0.0436206
+0.0432869
+0.0430623
+0.0429483
+0.0429459
+0.0430551
+0.0432751
+0.0436042
+0.0440399
+0.0445792
+0.0451995
+0.0459143
+0.0467209
+0.0476148
+0.048591
+0.0496448
+0.0507713
+0.0505479
+0.0483668
+0.0461866
+0.0440075
+0.0418295
+0.039653
+0.0374781
+0.0353051
+0.0331345
+0.0309667
+0.0288024
+0.0266424
+0.0244878
+0.0223403
+0.0202021
+0.0180764
+0.0159683
+0.0138857
+0.0118423
+0.00986231
+0.0079902
+0.00625609
+0.00488143
+0.00413333
+0.00405762
+0.00433033
+0.00324895
+0.00292313
+0.00297904
+0.00353953
+0.00354586
+0.00318616
+0.00330919
+0.00397024
+0.00344334
+0.00323533
+0.00368455
+0.0049752
+0.00671701
+0.00866328
+0.0107019
+0.0127805
+0.0148864
+0.0167575
+0.0155023
+0.014433
+0.0136262
+0.0131097
+0.0129149
+0.0130889
+0.0135778
+0.0131789
+0.0129488
+0.0130287
+0.0134693
+0.0142371
+0.0152828
+0.016554
+0.0180019
+0.0195532
+0.0210154
+0.022196
+0.0235153
+0.0249569
+0.0265014
+0.0281318
+0.0298293
+0.0315679
+0.0313486
+0.0303574
+0.0294958
+0.0287756
+0.0282075
+0.0277945
+0.0275333
+0.0274034
+0.0274383
+0.0276392
+0.0279854
+0.0284963
+0.0291632
+0.0466476
+0.0461482
+0.045731
+0.0454129
+0.0451987
+0.0450902
+0.0450879
+0.045192
+0.0454016
+0.0457154
+0.0461312
+0.0466462
+0.0472451
+0.0479293
+0.0487026
+0.0495607
+0.0504994
+0.0515141
+0.0526006
+0.0507934
+0.0486233
+0.0464552
+0.0442893
+0.0421259
+0.0399655
+0.0378085
+0.0356557
+0.0335079
+0.0313659
+0.0292311
+0.0271053
+0.0249907
+0.0228904
+0.0208088
+0.018752
+0.0167292
+0.0147545
+0.0128499
+0.0110294
+0.00934407
+0.00790898
+0.0068448
+0.00628309
+0.00619392
+0.00604448
+0.00529243
+0.00508089
+0.00513302
+0.00561095
+0.0056463
+0.00534684
+0.00542245
+0.00593219
+0.00556487
+0.00541577
+0.00570009
+0.00663778
+0.00802656
+0.00971391
+0.0115712
+0.0135286
+0.0155484
+0.0176091
+0.016466
+0.0154575
+0.0147011
+0.0142207
+0.0140412
+0.0142015
+0.0146563
+0.0141321
+0.0138763
+0.0139509
+0.0143632
+0.0150856
+0.0160762
+0.0172891
+0.0186802
+0.0201794
+0.0216422
+0.0227903
+0.0240771
+0.0254869
+0.0270011
+0.028603
+0.0302788
+0.0319954
+0.0322362
+0.0312731
+0.0304375
+0.0297401
+0.0291879
+0.0287883
+0.0285272
+0.0284145
+0.0284482
+0.028642
+0.0289762
+0.0294699
+0.0301153
+0.0487294
+0.0482503
+0.0478486
+0.0475447
+0.0473402
+0.0472365
+0.0472344
+0.0473337
+0.0475339
+0.0478337
+0.0482312
+0.0487241
+0.0493031
+0.0499592
+0.0507015
+0.0515263
+0.0524298
+0.0534079
+0.0532897
+0.0511317
+0.0489766
+0.0468248
+0.0446768
+0.0425331
+0.0403945
+0.0382618
+0.036136
+0.0340184
+0.0319108
+0.0298151
+0.027734
+0.0256713
+0.0236315
+0.0216214
+0.0196498
+0.0177298
+0.0158783
+0.0140931
+0.0124371
+0.0109702
+0.00975567
+0.00889753
+0.00844327
+0.00835323
+0.00795024
+0.00740917
+0.00723263
+0.00730577
+0.00771401
+0.00777273
+0.00752449
+0.00757349
+0.00800603
+0.00772418
+0.00760109
+0.0077956
+0.00852315
+0.00966081
+0.0111025
+0.0127592
+0.0145578
+0.0164517
+0.0184116
+0.0176461
+0.0167027
+0.0160053
+0.0155469
+0.0153829
+0.0155293
+0.0158049
+0.0153133
+0.0150676
+0.0151363
+0.0155171
+0.0161881
+0.017115
+0.0182591
+0.0195813
+0.0210163
+0.0224659
+0.0235739
+0.0248201
+0.02619
+0.0276657
+0.0292312
+0.0308729
+0.032565
+0.0332447
+0.0323117
+0.0315036
+0.0308304
+0.0302946
+0.0299085
+0.0296499
+0.0295497
+0.0295822
+0.0297725
+0.0300942
+0.0305698
+0.0311924
+0.0508204
+0.0503573
+0.0499726
+0.0496816
+0.0494859
+0.0493868
+0.0493847
+0.0494797
+0.0496713
+0.0499583
+0.050339
+0.0508114
+0.0513719
+0.052002
+0.0527156
+0.0535094
+0.05438
+0.0553236
+0.0537017
+0.0515609
+0.0494245
+0.0472931
+0.0451674
+0.0430482
+0.0409365
+0.0388335
+0.0367408
+0.0346602
+0.0325941
+0.0305453
+0.0285176
+0.0265159
+0.0245464
+0.0226177
+0.0207411
+0.0189185
+0.0171692
+0.0155321
+0.0140468
+0.0127551
+0.0117215
+0.0109956
+0.0105959
+0.0105243
+0.00992664
+0.00949883
+0.00935931
+0.00948676
+0.00980929
+0.00991073
+0.00970802
+0.00971472
+0.0100637
+0.0098973
+0.00978815
+0.00993111
+0.0105119
+0.011482
+0.0127189
+0.0141881
+0.0158251
+0.017583
+0.0194291
+0.0190008
+0.0181281
+0.0174772
+0.0170523
+0.0169029
+0.0170363
+0.0171427
+0.0166905
+0.0164654
+0.0165283
+0.0168777
+0.0174966
+0.0183576
+0.0194286
+0.0206762
+0.02204
+0.0234658
+0.0245287
+0.0257287
+0.0270526
+0.0284837
+0.0300066
+0.031608
+0.0332657
+0.0343635
+0.0334617
+0.032682
+0.0320306
+0.031515
+0.0311361
+0.0308874
+0.0307902
+0.0308213
+0.0310075
+0.0313256
+0.0317829
+0.0323821
+0.0529195
+0.0524711
+0.052102
+0.051823
+0.0516355
+0.0515405
+0.0515385
+0.0516295
+0.0518131
+0.0520883
+0.0524536
+0.0529071
+0.0534467
+0.0540565
+0.0547433
+0.0555081
+0.0563478
+0.0563248
+0.0541991
+0.0520788
+0.0499646
+0.0478572
+0.0457577
+0.0436671
+0.0415869
+0.0395186
+0.0374642
+0.0354261
+0.0334073
+0.0314116
+0.0294437
+0.0275094
+0.0256164
+0.0237734
+0.0219743
+0.0202519
+0.0186282
+0.0171311
+0.0157926
+0.0146461
+0.0137554
+0.013124
+0.0127614
+0.0127021
+0.0119778
+0.0116257
+0.0115097
+0.0116592
+0.0119389
+0.0120676
+0.0118569
+0.0118468
+0.0121361
+0.0120768
+0.011976
+0.0120864
+0.0125679
+0.0133949
+0.0144869
+0.0157925
+0.0172782
+0.0189014
+0.0206299
+0.0205005
+0.0196944
+0.0190721
+0.0186835
+0.0185473
+0.0186583
+0.0186427
+0.018212
+0.0180043
+0.0180618
+0.0183821
+0.0189519
+0.0197496
+0.0207489
+0.0219222
+0.0232258
+0.0246206
+0.0256357
+0.0267861
+0.0280602
+0.0294423
+0.030918
+0.0324745
+0.0340901
+0.035582
+0.0347119
+0.033961
+0.0333315
+0.0328363
+0.0324649
+0.0322264
+0.0321322
+0.032162
+0.0323406
+0.0326578
+0.0330966
+0.0336725
+0.0550257
+0.054591
+0.0542364
+0.0539684
+0.0537883
+0.0536971
+0.0536952
+0.0537826
+0.0539589
+0.0542232
+0.0545742
+0.0550102
+0.0555294
+0.0561213
+0.0567831
+0.0575208
+0.0583315
+0.0568837
+0.0547797
+0.0526828
+0.0505938
+0.0485138
+0.046444
+0.0443857
+0.0423408
+0.0403112
+0.0382993
+0.0363081
+0.0343413
+0.0324031
+0.0304992
+0.0286363
+0.0268133
+0.0250405
+0.0233388
+0.0217248
+0.0202197
+0.0188495
+0.0176301
+0.016611
+0.0158168
+0.01527
+0.0149343
+0.0146937
+0.0140711
+0.0137726
+0.0136728
+0.0137989
+0.0140872
+0.0141993
+0.0140084
+0.0139959
+0.014244
+0.0142597
+0.0141595
+0.0142525
+0.0146631
+0.0153778
+0.0163568
+0.0175244
+0.0188742
+0.0203707
+0.0219839
+0.0220917
+0.0213306
+0.020754
+0.0203975
+0.0202728
+0.0203737
+0.0202618
+0.0198348
+0.0196443
+0.019697
+0.0199912
+0.0205163
+0.0212554
+0.0221869
+0.0232879
+0.0245355
+0.0258934
+0.0268727
+0.0279754
+0.0291976
+0.0305283
+0.0319539
+0.0334622
+0.0350323
+0.0366578
+0.036052
+0.0353267
+0.034722
+0.0342469
+0.0338833
+0.0336549
+0.0335637
+0.0335923
+0.0337633
+0.0340738
+0.0344954
+0.0350483
+0.0571383
+0.0567163
+0.056375
+0.0561172
+0.0559441
+0.0558564
+0.0558546
+0.0559386
+0.0561081
+0.0563623
+0.0567001
+0.0571199
+0.0576201
+0.0581953
+0.0588338
+0.0595461
+0.0596085
+0.0575207
+0.0554409
+0.0533699
+0.0513089
+0.0492591
+0.047222
+0.0451992
+0.0431928
+0.0412051
+0.0392391
+0.0372982
+0.0353864
+0.0335087
+0.0316703
+0.0298647
+0.0281136
+0.0264282
+0.0248218
+0.0233108
+0.0219149
+0.0206478
+0.0195406
+0.0186263
+0.0179082
+0.0174271
+0.0171118
+0.0167342
+0.0161902
+0.0159315
+0.0158435
+0.0159524
+0.0162345
+0.0163424
+0.0161705
+0.0161551
+0.0163736
+0.0164447
+0.0163442
+0.0164251
+0.0167826
+0.0174105
+0.018281
+0.0193495
+0.0205799
+0.0219605
+0.0234647
+0.0237745
+0.023056
+0.0225236
+0.0221955
+0.022081
+0.0221729
+0.0219518
+0.0215584
+0.0213832
+0.0214317
+0.0217023
+0.022187
+0.0228721
+0.0237403
+0.0247724
+0.0259487
+0.0272501
+0.0282236
+0.0292777
+0.0304504
+0.0317285
+0.0331025
+0.0345608
+0.0360831
+0.0376632
+0.0374722
+0.0367723
+0.0361917
+0.0357325
+0.0353806
+0.0351619
+0.0350737
+0.0351011
+0.0352647
+0.0355628
+0.0359728
+0.0365033
+0.0592545
+0.0588464
+0.0585175
+0.0582692
+0.0581025
+0.0580181
+0.0580163
+0.0580972
+0.0582604
+0.0585053
+0.0588308
+0.0592355
+0.0597179
+0.0602761
+0.0608942
+0.0615826
+0.0602963
+0.0582332
+0.0561797
+0.054137
+0.0521064
+0.0500892
+0.0480873
+0.0461024
+0.0441371
+0.042194
+0.0402763
+0.0383878
+0.0365331
+0.0347098
+0.0329249
+0.0311917
+0.0295195
+0.0279191
+0.0264035
+0.0249884
+0.0236862
+0.0225154
+0.0215046
+0.0206743
+0.0200208
+0.0195781
+0.0192922
+0.0188084
+0.0183261
+0.018098
+0.0180189
+0.0181148
+0.0183817
+0.0184967
+0.0183393
+0.0183213
+0.018515
+0.018631
+0.0185303
+0.0186019
+0.0189183
+0.0194775
+0.0202594
+0.0212394
+0.0223703
+0.0236466
+0.0250497
+0.025527
+0.0248548
+0.0243617
+0.0240587
+0.0239531
+0.0240372
+0.0237239
+0.0233603
+0.0231987
+0.0232434
+0.0234932
+0.0239417
+0.0245779
+0.0253879
+0.0263555
+0.0274641
+0.0286911
+0.0296749
+0.0306792
+0.0318029
+0.0330306
+0.0343525
+0.0357599
+0.0372332
+0.0387665
+0.0389613
+0.0382887
+0.0377314
+0.0372842
+0.0369471
+0.0367378
+0.0366525
+0.0366787
+0.0368353
+0.0371208
+0.03752
+0.038029
+0.0613747
+0.0609808
+0.0606635
+0.060424
+0.0602632
+0.0601819
+0.0601802
+0.0602582
+0.0604155
+0.0606517
+0.0609657
+0.0613564
+0.0618222
+0.0623616
+0.0629634
+0.0631019
+0.061055
+0.0590184
+0.0569932
+0.0549808
+0.0529825
+0.051
+0.0490352
+0.0470904
+0.045168
+0.0432712
+0.0414035
+0.0395678
+0.0377586
+0.0359915
+0.0342735
+0.0326121
+0.0310165
+0.0294974
+0.0280672
+0.0267384
+0.0255196
+0.0244367
+0.0235087
+0.0227411
+0.0221486
+0.0217319
+0.0214747
+0.0209064
+0.0204737
+0.0202697
+0.0201977
+0.0202833
+0.0205381
+0.0206586
+0.0205128
+0.0204918
+0.0206627
+0.0208182
+0.0207174
+0.0207817
+0.0210654
+0.021569
+0.0222776
+0.0231723
+0.0242265
+0.0254097
+0.0267204
+0.0273387
+0.0267122
+0.026254
+0.0259731
+0.0258753
+0.0259526
+0.025561
+0.0252238
+0.0250743
+0.0251157
+0.025347
+0.0257632
+0.0263555
+0.0271124
+0.0280205
+0.0290657
+0.0302223
+0.0312126
+0.032169
+0.0332423
+0.0344218
+0.0356934
+0.0370498
+0.0384738
+0.0399595
+0.0405143
+0.0398679
+0.039333
+0.0388975
+0.0385745
+0.0383741
+0.0382916
+0.0383166
+0.0384666
+0.0387401
+0.0391287
+0.039617
+0.0634997
+0.063119
+0.0628125
+0.0625813
+0.0624261
+0.0623475
+0.0623459
+0.0624212
+0.0625731
+0.0628011
+0.0631045
+0.0634819
+0.0639323
+0.0644541
+0.0650406
+0.0639024
+0.0618819
+0.0598735
+0.0578783
+0.0558977
+0.0539334
+0.0519872
+0.0500612
+0.0481578
+0.0462798
+0.0444305
+0.0426071
+0.0408148
+0.0390632
+0.0373579
+0.0357056
+0.034114
+0.0325921
+0.0311499
+0.0297987
+0.0285438
+0.0274054
+0.0264001
+0.0255434
+0.0248291
+0.0242876
+0.0238924
+0.0236116
+0.0230217
+0.0226294
+0.0224451
+0.0223789
+0.0224561
+0.0227011
+0.022826
+0.0226871
+0.0226654
+0.0228182
+0.0230061
+0.0229052
+0.0229635
+0.0232206
+0.0236784
+0.0243256
+0.0251476
+0.0261279
+0.0272351
+0.0284618
+0.0291996
+0.0286138
+0.0281865
+0.0279251
+0.0278341
+0.0279085
+0.02745
+0.0271363
+0.0269974
+0.0270358
+0.0272508
+0.0276384
+0.0281913
+0.0289002
+0.0297538
+0.0307401
+0.0318308
+0.0328246
+0.0337353
+0.0347603
+0.0358899
+0.0371146
+0.0384215
+0.0397964
+0.0412345
+0.0421239
+0.0415026
+0.0409887
+0.040565
+0.0402554
+0.0400634
+0.0399835
+0.0400075
+0.0401512
+0.0404132
+0.040791
+0.0412603
+0.0656289
+0.0652607
+0.0649643
+0.0647408
+0.0645908
+0.0645148
+0.0645132
+0.064586
+0.0647329
+0.0649533
+0.0652466
+0.0656118
+0.0660477
+0.0665528
+0.0667721
+0.0647671
+0.0627745
+0.0607956
+0.0588316
+0.0568843
+0.0549552
+0.0530465
+0.0511604
+0.0492994
+0.0474657
+0.0456541
+0.0438769
+0.0421387
+0.0404444
+0.0387999
+0.0372117
+0.0356873
+0.0342354
+0.0328654
+0.0315811
+0.0303999
+0.0293337
+0.0283966
+0.0275972
+0.0269334
+0.0264351
+0.026058
+0.025691
+0.0251499
+0.0247913
+0.0246232
+0.0245617
+0.0246321
+0.0248689
+0.0249975
+0.0248635
+0.0248412
+0.0249798
+0.0251945
+0.0250935
+0.0251469
+0.0253818
+0.0258013
+0.0263966
+0.0271559
+0.0280662
+0.0291108
+0.0302616
+0.0311031
+0.0305539
+0.0301541
+0.0299099
+0.029825
+0.0298319
+0.0293807
+0.0290878
+0.0289583
+0.0289941
+0.0291947
+0.0295568
+0.0300745
+0.0307399
+0.0315438
+0.0324717
+0.0335053
+0.0344975
+0.0353651
+0.0363442
+0.0374261
+0.0386021
+0.0398637
+0.0411931
+0.042584
+0.0437841
+0.0431866
+0.0426877
+0.0422803
+0.0419833
+0.0417992
+0.0417219
+0.0417449
+0.0418826
+0.0421339
+0.0424968
+0.0429525
+0.0677622
+0.0674056
+0.0671187
+0.0669023
+0.0667571
+0.0666837
+0.0666822
+0.0667526
+0.0668947
+0.067108
+0.0673919
+0.0677456
+0.0681678
+0.0686573
+0.0676711
+0.0656935
+0.0637299
+0.0617816
+0.05985
+0.0579369
+0.0560441
+0.0541737
+0.0523283
+0.0505048
+0.0487075
+0.0469437
+0.0452172
+0.0435326
+0.0418947
+0.0403094
+0.0387831
+0.037323
+0.0359372
+0.034629
+0.0334122
+0.032298
+0.0312965
+0.03042
+0.0296669
+0.0290505
+0.0285891
+0.0282275
+0.0277875
+0.027288
+0.0269579
+0.0268033
+0.0267458
+0.0268104
+0.0270405
+0.0271718
+0.0270422
+0.0270188
+0.0271461
+0.0273816
+0.0272821
+0.0273314
+0.0275478
+0.0279348
+0.0284854
+0.0291905
+0.0300392
+0.0310196
+0.0321101
+0.0330423
+0.0325258
+0.0321506
+0.0319216
+0.0318421
+0.031764
+0.0313406
+0.0310662
+0.0309449
+0.0309785
+0.0311663
+0.0315057
+0.0319919
+0.0326183
+0.0333769
+0.0342551
+0.0352365
+0.0362114
+0.0370388
+0.0379748
+0.0390115
+0.040141
+0.0413558
+0.0426487
+0.0440013
+0.0454119
+0.0449144
+0.0444291
+0.0440377
+0.0437527
+0.043576
+0.0435012
+0.0435232
+0.0436553
+0.0438964
+0.0442449
+0.044688
+0.0698989
+0.0695533
+0.0692753
+0.0690657
+0.0689251
+0.0688539
+0.0688525
+0.0689206
+0.0690583
+0.069265
+0.0695401
+0.0698828
+0.0702922
+0.0705915
+0.0686282
+0.0666791
+0.0647454
+0.0628285
+0.0609302
+0.059052
+0.0571962
+0.0553639
+0.0535505
+0.0517663
+0.0500144
+0.0482983
+0.046622
+0.04499
+0.0434072
+0.0418791
+0.0404122
+0.0390131
+0.0376851
+0.0364386
+0.0352842
+0.034231
+0.0332877
+0.032465
+0.0317529
+0.0311778
+0.0307387
+0.0304
+0.0298975
+0.0294339
+0.0291281
+0.0289851
+0.0289309
+0.0289907
+0.0292149
+0.0293471
+0.0292226
+0.0291981
+0.029316
+0.0295637
+0.0294711
+0.0295169
+0.0297173
+0.0300764
+0.0305886
+0.0312462
+0.0320405
+0.0329614
+0.0339988
+0.0350112
+0.0345242
+0.0341709
+0.0339555
+0.0338808
+0.0337277
+0.0333292
+0.0330714
+0.0329574
+0.0329889
+0.0331654
+0.0334846
+0.0339424
+0.0345334
+0.0352508
+0.0360835
+0.0370164
+0.0379742
+0.0387641
+0.0396593
+0.0406531
+0.0417382
+0.0429078
+0.0441552
+0.045474
+0.0468461
+0.046681
+0.0462087
+0.0458325
+0.0455587
+0.0453891
+0.0453165
+0.0453376
+0.0454644
+0.0456961
+0.0460309
+0.0464621
+0.0720389
+0.0717036
+0.071434
+0.0712307
+0.0710944
+0.0710254
+0.071024
+0.0710901
+0.0712235
+0.071424
+0.0716908
+0.0720233
+0.0724206
+0.0715767
+0.0696412
+0.0677212
+0.0658181
+0.0639334
+0.0620689
+0.0602263
+0.0584028
+0.0566019
+0.0548295
+0.0530883
+0.0513814
+0.0497126
+0.0480856
+0.046505
+0.0449755
+0.0435026
+0.0420922
+0.0407475
+0.0394762
+0.038288
+0.0371911
+0.0361934
+0.0353026
+0.0345219
+0.0338521
+0.0333133
+0.0328912
+0.0325749
+0.0320183
+0.0315859
+0.0313011
+0.0311681
+0.0311167
+0.0311724
+0.0313812
+0.031523
+0.0314045
+0.0313791
+0.0314888
+0.0317465
+0.0316603
+0.0317031
+0.0318898
+0.0322246
+0.0327032
+0.0333191
+0.0340651
+0.0349327
+0.0359132
+0.0369913
+0.0365445
+0.036211
+0.0360078
+0.0359373
+0.0357177
+0.0353417
+0.0350987
+0.0349913
+0.035021
+0.0351873
+0.0354883
+0.0359206
+0.0364795
+0.0371594
+0.0379502
+0.0388383
+0.0397796
+0.0405343
+0.0413913
+0.0423444
+0.0433872
+0.0445136
+0.0457172
+0.0469921
+0.0483328
+0.0484805
+0.0480222
+0.0476604
+0.0473971
+0.0472341
+0.0471637
+0.047184
+0.0473059
+0.0475285
+0.0478505
+0.0482696
+0.0741819
+0.0738563
+0.0735946
+0.0733973
+0.073265
+0.0731981
+0.0731967
+0.0732608
+0.0733903
+0.0735848
+0.0738439
+0.0741667
+0.0745373
+0.0726146
+0.0707075
+0.0688173
+0.0669454
+0.0650933
+0.0632621
+0.0614475
+0.0596581
+0.0578964
+0.0561648
+0.0544663
+0.052804
+0.0511816
+0.0496028
+0.0480721
+0.0465941
+0.045174
+0.043815
+0.0425225
+0.0413058
+0.0401718
+0.0391277
+0.0381807
+0.0373373
+0.0365934
+0.0359623
+0.0354555
+0.0350485
+0.0346871
+0.034148
+0.0337429
+0.0334764
+0.0333521
+0.0333033
+0.0333552
+0.0335505
+0.0337006
+0.0335876
+0.0335613
+0.0336639
+0.033908
+0.0338497
+0.0338898
+0.0340645
+0.0343782
+0.0348272
+0.0354062
+0.0361091
+0.0369287
+0.0378575
+0.0388877
+0.0385822
+0.0382664
+0.0380742
+0.0380076
+0.03773
+0.0373743
+0.0371445
+0.0370431
+0.0370711
+0.0372283
+0.0375129
+0.0379221
+0.038452
+0.0390976
+0.03985
+0.0406966
+0.041622
+0.0423438
+0.0431649
+0.0440797
+0.0450824
+0.0461674
+0.047329
+0.0485617
+0.0498601
+0.0503076
+0.0498661
+0.0495178
+0.0492644
+0.0491076
+0.0490392
+0.0490587
+0.0491759
+0.0493902
+0.0497001
+0.050104
+0.0763276
+0.0760112
+0.0757569
+0.0755652
+0.0754368
+0.0753718
+0.0753704
+0.0754327
+0.0755585
+0.0757474
+0.0759991
+0.0763128
+0.0755981
+0.0737031
+0.0718248
+0.0699648
+0.0681244
+0.0663009
+0.0644973
+0.0627185
+0.0609664
+0.0592436
+0.0575525
+0.0558962
+0.0542777
+0.0527007
+0.0511688
+0.0496863
+0.0482578
+0.0468865
+0.0455758
+0.0443346
+0.0431691
+0.0420853
+0.0410899
+0.0401891
+0.0393876
+0.0386781
+0.0380815
+0.0376033
+0.0372097
+0.0367927
+0.036285
+0.0359039
+0.0356536
+0.0355369
+0.0354903
+0.0355391
+0.0357224
+0.0358799
+0.0357716
+0.0357446
+0.0358409
+0.0360703
+0.0360393
+0.0360771
+0.0362412
+0.0365363
+0.036959
+0.0375051
+0.0381694
+0.0389457
+0.0398275
+0.0408079
+0.0406294
+0.0403296
+0.0401473
+0.0400841
+0.0397612
+0.0394238
+0.0392061
+0.03911
+0.0391365
+0.0392854
+0.0395552
+0.0399435
+0.0404469
+0.0410612
+0.0417782
+0.0425865
+0.0434903
+0.0441879
+0.0449753
+0.045854
+0.0468188
+0.0478644
+0.0489858
+0.0501778
+0.0514355
+0.0521627
+0.051737
+0.0514014
+0.0511574
+0.0510064
+0.0509398
+0.0509587
+0.0510715
+0.0512778
+0.0515764
+0.0519657
+0.0784757
+0.078168
+0.0779208
+0.0777345
+0.0776096
+0.0775464
+0.0775451
+0.0776056
+0.0777279
+0.0779116
+0.0781563
+0.0784614
+0.0767067
+0.0748398
+0.0729908
+0.0711604
+0.0693449
+0.0675515
+0.0657823
+0.0640391
+0.0623242
+0.0606399
+0.0589889
+0.0573741
+0.0557985
+0.0542657
+0.0527793
+0.0513433
+0.0499612
+0.0486347
+0.0473724
+0.0461796
+0.0450618
+0.0440246
+0.043074
+0.0422156
+0.0414475
+0.0407739
+0.0402084
+0.0397556
+0.0393741
+0.0389077
+0.0384279
+0.0380684
+0.0378324
+0.0377224
+0.0376777
+0.0377237
+0.0378964
+0.0380604
+0.0379563
+0.0379287
+0.0380195
+0.0382358
+0.0382289
+0.0382647
+0.0384195
+0.0386979
+0.0390973
+0.039614
+0.0402434
+0.0409804
+0.0418194
+0.0427542
+0.0426907
+0.0424055
+0.0422321
+0.0421721
+0.0418085
+0.0414877
+0.0412809
+0.0411897
+0.0412149
+0.0413562
+0.0416126
+0.0419819
+0.0424612
+0.0430467
+0.0437311
+0.044504
+0.0453696
+0.0460624
+0.0468183
+0.047663
+0.0485918
+0.0496001
+0.0506831
+0.051836
+0.0530544
+0.0540429
+0.0536322
+0.0533084
+0.0530732
+0.0529277
+0.0528629
+0.0528811
+0.0529898
+0.0531887
+0.0534766
+0.0538522
+0.0806262
+0.0803267
+0.0800861
+0.0799049
+0.0797834
+0.0797219
+0.0797206
+0.0797795
+0.0798985
+0.0800772
+0.0803153
+0.0797177
+0.0778613
+0.0760227
+0.0741991
+0.0723934
+0.0706096
+0.0688492
+0.0671142
+0.0654065
+0.0637284
+0.0620822
+0.0604706
+0.0588964
+0.0573627
+0.0558728
+0.0544303
+0.0530387
+0.0516984
+0.0504176
+0.049201
+0.0480536
+0.0469804
+0.0459866
+0.0450773
+0.0442578
+0.0435202
+0.0428791
+0.0423418
+0.0419045
+0.0415413
+0.0410307
+0.040576
+0.0402356
+0.0400125
+0.0399085
+0.0398656
+0.039909
+0.0400723
+0.0402421
+0.0401417
+0.0401135
+0.0401994
+0.040404
+0.0404187
+0.0404527
+0.0405991
+0.0408627
+0.0412411
+0.0417313
+0.0423292
+0.0430305
+0.0438302
+0.044723
+0.0447642
+0.0444923
+0.0443272
+0.0442699
+0.0438666
+0.043561
+0.0433641
+0.0432773
+0.0433012
+0.0434358
+0.04368
+0.044032
+0.0444891
+0.0450483
+0.0457055
+0.0464457
+0.0472757
+0.0479636
+0.04869
+0.0495028
+0.0503978
+0.0513706
+0.052417
+0.0535326
+0.0547133
+0.0559457
+0.0555491
+0.0552366
+0.0550096
+0.0548692
+0.0548061
+0.0548236
+0.0549286
+0.0551204
+0.0553983
+0.0557609
+0.0827787
+0.0824871
+0.0822528
+0.0820763
+0.0819581
+0.0818982
+0.081897
+0.0819543
+0.0820701
+0.0822441
+0.0824759
+0.0808885
+0.0790587
+0.0772424
+0.075446
+0.0736709
+0.0719187
+0.0701912
+0.0684902
+0.0668177
+0.0651759
+0.0635673
+0.0619943
+0.0604598
+0.0589667
+0.0575184
+0.0561182
+0.0547658
+0.0534688
+0.0522314
+0.0510582
+0.0499534
+0.0489219
+0.0479683
+0.0470973
+0.046311
+0.045604
+0.0449926
+0.0444808
+0.0440561
+0.0436981
+0.0431604
+0.0427284
+0.0424053
+0.0421936
+0.042095
+0.0420537
+0.0420948
+0.0422497
+0.0424246
+0.0423276
+0.0422989
+0.0423804
+0.0425745
+0.0426086
+0.0426409
+0.0427799
+0.0430301
+0.0433896
+0.0438557
+0.0444251
+0.0450939
+0.0458576
+0.0467116
+0.0468485
+0.0465887
+0.046431
+0.0463294
+0.0459358
+0.045644
+0.0454561
+0.0453733
+0.0453962
+0.0455246
+0.0457576
+0.0460937
+0.0465306
+0.0470655
+0.0476952
+0.0484086
+0.0492056
+0.0498886
+0.0505874
+0.0513702
+0.0522331
+0.0531724
+0.054184
+0.055264
+0.0564084
+0.0576134
+0.0574855
+0.0571836
+0.0569644
+0.0568288
+0.0567674
+0.0567842
+0.0568856
+0.0570708
+0.0573393
+0.0576897
+0.0935751
+0.092297
+0.0907775
+0.0889832
+0.0872071
+0.0854502
+0.0837138
+0.0819992
+0.0803077
+0.0786408
+0.0769815
+0.075339
+0.073725
+0.0721414
+0.0705903
+0.0690738
+0.0675943
+0.0661542
+0.0647563
+0.0634033
+0.0620981
+0.0608438
+0.0596385
+0.0584878
+0.0573977
+0.0563717
+0.0554133
+0.0545261
+0.0537137
+0.0529795
+0.0523267
+0.0517585
+0.0512776
+0.0508867
+0.05058
+0.0503561
+0.0502267
+0.0501928
+0.0502544
+0.0504112
+0.0506624
+0.0510065
+0.0514337
+0.0519398
+0.0525325
+0.0530348
+0.0533854
+0.053816
+0.0543316
+0.0549298
+0.0556079
+0.056363
+0.0571921
+0.0580921
+0.0590571
+0.0600736
+0.0611322
+0.0621497
+0.0632267
+0.0642633
+0.0632305
+0.0622578
+0.0613479
+0.0605036
+0.0597278
+0.0590232
+0.0583923
+0.0578376
+0.0573612
+0.0569651
+0.056651
+0.0564203
+0.056274
+0.0562127
+0.0562368
+0.0563306
+0.0565083
+0.05677
+0.0571146
+0.0575406
+0.0580462
+0.0586131
+0.0591975
+0.0598523
+0.0605793
+0.0613759
+0.0622395
+0.0631673
+0.0641116
+0.0650318
+0.0660069
+0.0670365
+0.068121
+0.0692578
+0.0704328
+0.0716484
+0.0729095
+0.0742138
+0.0755592
+0.0769434
+0.0920007
+0.0907004
+0.089435
+0.0879827
+0.0861859
+0.0844078
+0.0826495
+0.0809123
+0.0791886
+0.077469
+0.0757737
+0.0741045
+0.0724629
+0.0708511
+0.0692711
+0.0677251
+0.0662155
+0.0647448
+0.0633158
+0.0619313
+0.0605943
+0.0593082
+0.0580711
+0.0568887
+0.0557674
+0.0547108
+0.0537228
+0.0528072
+0.0519679
+0.0512087
+0.050533
+0.0499444
+0.0494459
+0.0490404
+0.0487221
+0.0484896
+0.0483552
+0.04832
+0.048384
+0.0485468
+0.0488076
+0.0491646
+0.0496077
+0.0501323
+0.0507461
+0.0510955
+0.0514562
+0.0519028
+0.0524372
+0.0530567
+0.0537585
+0.0545392
+0.0553956
+0.0563243
+0.0573121
+0.058359
+0.0593441
+0.0603917
+0.061493
+0.0626283
+0.0617536
+0.0607572
+0.0598245
+0.0589584
+0.058162
+0.0574382
+0.0567897
+0.0562191
+0.0557289
+0.0553211
+0.0549977
+0.05476
+0.0546092
+0.0545461
+0.0545709
+0.054667
+0.05485
+0.0551196
+0.0554744
+0.0559129
+0.0564243
+0.0569788
+0.0575755
+0.0582486
+0.0589954
+0.0598131
+0.0606989
+0.0616029
+0.0624832
+0.0634252
+0.0644216
+0.0654755
+0.0665796
+0.0677316
+0.0689251
+0.0701668
+0.071454
+0.0727845
+0.0741558
+0.0755124
+0.0904519
+0.0891291
+0.087841
+0.0865891
+0.0852088
+0.0834099
+0.08163
+0.0798431
+0.0780765
+0.0763319
+0.0746107
+0.0729148
+0.0712459
+0.0696059
+0.067997
+0.0664213
+0.0648814
+0.0633797
+0.0619192
+0.0605028
+0.0591335
+0.0578149
+0.0565452
+0.0553302
+0.0541766
+0.0530883
+0.0520695
+0.0511244
+0.050257
+0.0494715
+0.0487718
+0.0481617
+0.0476445
+0.0472235
+0.0468929
+0.0466513
+0.0465116
+0.046475
+0.0465415
+0.0467108
+0.0469817
+0.0473526
+0.0478124
+0.0483565
+0.0488298
+0.0491773
+0.0495487
+0.0500124
+0.0505668
+0.0512089
+0.0519356
+0.0527434
+0.0536285
+0.0545869
+0.0555987
+0.0565689
+0.0575837
+0.0586613
+0.0597701
+0.0609375
+0.0603201
+0.0592996
+0.0583436
+0.0574552
+0.0566377
+0.0558941
+0.0552275
+0.0546406
+0.0541361
+0.0537162
+0.053383
+0.0531381
+0.0529828
+0.0529177
+0.052943
+0.0530416
+0.0532302
+0.053508
+0.0538734
+0.054324
+0.0548255
+0.0553785
+0.0559923
+0.0566842
+0.0574513
+0.0582906
+0.0591501
+0.0599864
+0.0608901
+0.0618483
+0.0628634
+0.0639375
+0.0650657
+0.0662349
+0.0674549
+0.0687231
+0.0700369
+0.0713938
+0.0727417
+0.0740658
+0.0889282
+0.0875844
+0.0862732
+0.0849982
+0.0837612
+0.082437
+0.0806115
+0.0788012
+0.0770106
+0.0752413
+0.0734947
+0.0717724
+0.0700762
+0.0684082
+0.0667704
+0.0651651
+0.0635948
+0.062062
+0.0605697
+0.0591209
+0.057719
+0.0563673
+0.0550641
+0.0538157
+0.0526289
+0.051508
+0.0504573
+0.0494813
+0.0485846
+0.0477716
+0.0470467
+0.0464139
+0.0458771
+0.0454396
+0.045096
+0.0448446
+0.0446994
+0.0446612
+0.0447304
+0.0449065
+0.0451883
+0.0455737
+0.0460514
+0.046616
+0.0469222
+0.0472805
+0.0476656
+0.0481474
+0.048723
+0.0493891
+0.0501422
+0.0509784
+0.0518936
+0.0528759
+0.0538285
+0.054807
+0.0558538
+0.0569361
+0.0580779
+0.0592787
+0.0589332
+0.0578883
+0.0569085
+0.0559974
+0.0551583
+0.0543945
+0.0537092
+0.0531056
+0.0525863
+0.052154
+0.0518107
+0.0515584
+0.0513982
+0.0513312
+0.0513566
+0.0514582
+0.0516526
+0.0519388
+0.0523152
+0.0527526
+0.0532688
+0.0538198
+0.0544512
+0.0551624
+0.0559503
+0.0567553
+0.057543
+0.0584024
+0.0593193
+0.0602973
+0.0613381
+0.0624384
+0.0635817
+0.0647777
+0.0660246
+0.0673198
+0.0686604
+0.0699984
+0.0713062
+0.0726565
+0.0874242
+0.0860656
+0.084733
+0.0834345
+0.0821739
+0.080953
+0.0796313
+0.0778044
+0.075993
+0.0741994
+0.0724276
+0.0706794
+0.0689564
+0.0672606
+0.0655941
+0.0639593
+0.0623586
+0.0607947
+0.0592705
+0.0577891
+0.056354
+0.0549688
+0.0536317
+0.0523491
+0.0511283
+0.0499737
+0.0488901
+0.0478822
+0.0469549
+0.0461132
+0.0453617
+0.0447051
+0.0441475
+0.0436928
+0.0433353
+0.0430737
+0.0429224
+0.0428826
+0.0429547
+0.0431381
+0.0434313
+0.0438322
+0.0443286
+0.0447642
+0.0450403
+0.045409
+0.0458099
+0.046311
+0.0469091
+0.0476006
+0.0483816
+0.0492476
+0.0501944
+0.051119
+0.0520604
+0.0530755
+0.0541311
+0.0552439
+0.05642
+0.0576515
+0.0575744
+0.0565246
+0.0555228
+0.0545886
+0.0537274
+0.052943
+0.0522387
+0.0516179
+0.0510835
+0.0506383
+0.0502847
+0.0500247
+0.0498596
+0.0497905
+0.049816
+0.0499207
+0.0501211
+0.050416
+0.0507799
+0.0512224
+0.0517417
+0.0523065
+0.0529559
+0.0536869
+0.0544236
+0.0551576
+0.0559679
+0.0568465
+0.0577834
+0.058787
+0.0598541
+0.0609706
+0.0621395
+0.0633627
+0.064637
+0.0659594
+0.0672859
+0.0685754
+0.0699098
+0.0712866
+0.0859397
+0.0845675
+0.0832199
+0.0818996
+0.080615
+0.0793701
+0.0781668
+0.0768481
+0.0750174
+0.0732065
+0.0714119
+0.0696381
+0.0678887
+0.0661656
+0.0644708
+0.0628068
+0.0611759
+0.0595809
+0.0580249
+0.0565109
+0.0550425
+0.0536234
+0.0522518
+0.0509345
+0.049679
+0.0484899
+0.0473723
+0.0463314
+0.0453725
+0.0445008
+0.0437217
+0.04304
+0.0424606
+0.0419876
+0.0416154
+0.0413429
+0.0411853
+0.0411439
+0.041219
+0.0414101
+0.0417154
+0.0421327
+0.0426419
+0.0428995
+0.0431875
+0.0435673
+0.0439849
+0.0445066
+0.0451286
+0.045847
+0.0466573
+0.0475548
+0.0484557
+0.0493506
+0.0503251
+0.0513597
+0.0524399
+0.0535879
+0.0547987
+0.0560564
+0.0562583
+0.0551834
+0.0541759
+0.0532326
+0.0523492
+0.0515438
+0.0508201
+0.0501817
+0.0496319
+0.0491736
+0.0488094
+0.0485414
+0.0483713
+0.0483
+0.0483256
+0.0484336
+0.0486401
+0.0489209
+0.0492827
+0.0497385
+0.0502613
+0.0508425
+0.0515103
+0.0521717
+0.0528463
+0.0536019
+0.0544354
+0.0553288
+0.0562909
+0.0573207
+0.0584071
+0.0595458
+0.0607421
+0.0619929
+0.0632947
+0.0646081
+0.0658772
+0.0671938
+0.0685551
+0.0699557
+0.0844633
+0.0830898
+0.0817283
+0.0803912
+0.0790846
+0.0778148
+0.0765867
+0.0754022
+0.0740898
+0.0722556
+0.0704419
+0.06865
+0.0668758
+0.0651259
+0.0634033
+0.0617105
+0.0600499
+0.0584242
+0.0568364
+0.0552899
+0.0537882
+0.0523351
+0.0509289
+0.0495764
+0.0482855
+0.0470613
+0.0459089
+0.0448341
+0.0438424
+0.0429397
+0.0421317
+0.0414239
+0.0408215
+0.0403293
+0.0399416
+0.0396576
+0.0394933
+0.0394501
+0.0395284
+0.0397276
+0.0400458
+0.0404775
+0.0408718
+0.041067
+0.0413677
+0.0417593
+0.0421948
+0.0427383
+0.0433857
+0.0441325
+0.0449737
+0.0458469
+0.0466892
+0.0476173
+0.0486266
+0.0496708
+0.0507869
+0.0519715
+0.0532083
+0.0545027
+0.054998
+0.053898
+0.0528659
+0.0519058
+0.0510181
+0.0502012
+0.0494579
+0.0488017
+0.0482361
+0.0477644
+0.0473894
+0.0471134
+0.0469381
+0.0468646
+0.0468772
+0.0469858
+0.047179
+0.0474661
+0.0478389
+0.0483083
+0.0488343
+0.0494322
+0.0500104
+0.050619
+0.051314
+0.0520919
+0.0529357
+0.0538496
+0.0548359
+0.0558868
+0.0569918
+0.0581583
+0.0593827
+0.0606591
+0.0619695
+0.0632156
+0.0645121
+0.065856
+0.067241
+0.0686532
+0.0830184
+0.0816206
+0.0802583
+0.0789069
+0.077582
+0.076289
+0.0750358
+0.0738265
+0.072663
+0.0713594
+0.0695223
+0.0677062
+0.0659128
+0.0641437
+0.0623945
+0.0606735
+0.0589837
+0.0573278
+0.0557088
+0.0541301
+0.0525953
+0.0511083
+0.0496673
+0.0482796
+0.046953
+0.0456931
+0.0445053
+0.0433957
+0.0423704
+0.0414357
+0.0405977
+0.0398627
+0.0392363
+0.0387239
+0.0383182
+0.038022
+0.0378506
+0.0378055
+0.0378873
+0.038095
+0.0384268
+0.0388696
+0.0390695
+0.0392712
+0.0395856
+0.0399896
+0.0404442
+0.0410109
+0.0416851
+0.0424618
+0.0433028
+0.0440848
+0.04496
+0.0459232
+0.0469428
+0.0480224
+0.049176
+0.0503897
+0.0516618
+0.052994
+0.0537974
+0.0526723
+0.0516157
+0.0506319
+0.0497245
+0.0488949
+0.0481507
+0.0474826
+0.0469012
+0.0464159
+0.0460299
+0.0457457
+0.0455651
+0.0454737
+0.0454802
+0.0455746
+0.0457738
+0.0460696
+0.0464536
+0.0469177
+0.0474556
+0.047952
+0.0484875
+0.049115
+0.0498292
+0.0506098
+0.0514717
+0.0524112
+0.0534183
+0.0544853
+0.0556181
+0.0568128
+0.0580656
+0.0593698
+0.0605956
+0.0618694
+0.0631936
+0.0645607
+0.0659658
+0.0673791
+0.0816068
+0.0801844
+0.0787972
+0.0774472
+0.076106
+0.0747955
+0.0735176
+0.0722828
+0.0710941
+0.0699538
+0.0686603
+0.0668207
+0.065003
+0.0632088
+0.0614405
+0.0596989
+0.0579808
+0.0562954
+0.0546458
+0.0530355
+0.051468
+0.0499474
+0.048472
+0.047049
+0.0456868
+0.0443909
+0.0431673
+0.0420224
+0.0409627
+0.0399951
+0.0391263
+0.0383631
+0.0377118
+0.0371784
+0.0367536
+0.0364448
+0.0362659
+0.0362188
+0.0363042
+0.0365209
+0.0368668
+0.0371375
+0.0373088
+0.0375174
+0.0378464
+0.0382635
+0.0387383
+0.0393296
+0.0400322
+0.0408352
+0.0415482
+0.0423626
+0.0432727
+0.0442636
+0.0453012
+0.046419
+0.0476058
+0.0488522
+0.0501633
+0.0515306
+0.0526605
+0.0515106
+0.0504297
+0.0494224
+0.0484931
+0.0476443
+0.0468803
+0.0462049
+0.0456072
+0.045108
+0.0447107
+0.044418
+0.044232
+0.044141
+0.0441296
+0.0442269
+0.0444321
+0.0447304
+0.0451246
+0.0455812
+0.045997
+0.0464649
+0.0470174
+0.047654
+0.0483704
+0.0491741
+0.0500608
+0.0510186
+0.0520425
+0.0531371
+0.054298
+0.0555212
+0.0567859
+0.0580184
+0.0592667
+0.0605685
+0.0619195
+0.0633094
+0.0647129
+0.066153
+0.0800979
+0.0787829
+0.0773706
+0.0759952
+0.0746589
+0.0733289
+0.0720339
+0.0707733
+0.0695588
+0.068393
+0.0672782
+0.0659962
+0.064155
+0.0623365
+0.0605427
+0.0587757
+0.0570382
+0.0553304
+0.0536512
+0.0520101
+0.0504108
+0.0488551
+0.0473424
+0.0458843
+0.0444864
+0.0431545
+0.0418948
+0.0407142
+0.0396195
+0.0386182
+0.0377177
+0.0369254
+0.0362484
+0.0356931
+0.0352558
+0.0349338
+0.0347471
+0.034698
+0.034787
+0.0350132
+0.0352738
+0.0354073
+0.035585
+0.0358118
+0.0361563
+0.0365871
+0.0370834
+0.0377007
+0.038433
+0.0390926
+0.0398369
+0.0406855
+0.0416323
+0.0426314
+0.0437077
+0.0448632
+0.0460796
+0.0473661
+0.0487145
+0.050103
+0.0515472
+0.0504175
+0.0493126
+0.0482819
+0.0473303
+0.0464625
+0.0456797
+0.044983
+0.0443688
+0.0438555
+0.0434468
+0.0431455
+0.042954
+0.0428543
+0.0428426
+0.0429428
+0.0431514
+0.0434509
+0.0437429
+0.0440455
+0.0444542
+0.044966
+0.0455487
+0.0462161
+0.0469677
+0.0477958
+0.0486977
+0.0496729
+0.050724
+0.0518229
+0.0529776
+0.0541962
+0.0554745
+0.0567032
+0.0579798
+0.0593099
+0.0606899
+0.0620868
+0.0635109
+0.0649777
+0.0786126
+0.0772827
+0.0759803
+0.0745794
+0.0732171
+0.0718958
+0.0705786
+0.0693002
+0.0680594
+0.0668674
+0.0657268
+0.0646404
+0.0633715
+0.0615299
+0.0597118
+0.0579195
+0.0561555
+0.0544225
+0.0527235
+0.0510582
+0.0494259
+0.0478334
+0.0462872
+0.0447948
+0.0433618
+0.0419942
+0.0406987
+0.0394823
+0.0383525
+0.0373172
+0.0363845
+0.0355625
+0.034859
+0.0342812
+0.0338301
+0.0334943
+0.0332995
+0.0332483
+0.0333412
+0.0334954
+0.0335793
+0.0337306
+0.0339057
+0.0341485
+0.0345096
+0.0349567
+0.0354866
+0.0361312
+0.0367344
+0.0373973
+0.0381745
+0.0390594
+0.0400233
+0.0410511
+0.0421678
+0.0433511
+0.0446088
+0.0459348
+0.0473034
+0.0487321
+0.0502158
+0.0493973
+0.0482691
+0.0472156
+0.046242
+0.0453534
+0.0445545
+0.0438365
+0.043206
+0.0426788
+0.0422586
+0.0419489
+0.0417455
+0.0416369
+0.0416248
+0.0417279
+0.0418452
+0.041953
+0.0421548
+0.0424687
+0.0428924
+0.0434226
+0.0440295
+0.0447194
+0.0454853
+0.046341
+0.0472828
+0.0483056
+0.0493619
+0.0504777
+0.0516624
+0.0529112
+0.0541956
+0.0554434
+0.0567483
+0.0581066
+0.0595037
+0.0609118
+0.0623628
+0.0638559
+0.0771505
+0.0758037
+0.0744899
+0.0732016
+0.0718133
+0.0704657
+0.0691612
+0.0678583
+0.0665983
+0.0653797
+0.0642127
+0.0631002
+0.0620407
+0.0607915
+0.0589507
+0.0571345
+0.0553455
+0.0535863
+0.0518599
+0.0501654
+0.0485031
+0.0468843
+0.0453134
+0.0437879
+0.0423208
+0.0409184
+0.0395877
+0.038336
+0.0371714
+0.0361023
+0.0351374
+0.0342855
+0.0335552
+0.0329546
+0.0324669
+0.0321169
+0.0319137
+0.0318603
+0.0319012
+0.0318577
+0.0319451
+0.0321159
+0.0322877
+0.0325429
+0.0329216
+0.03339
+0.0338783
+0.0344721
+0.0350618
+0.0357558
+0.0365679
+0.03749
+0.0384607
+0.0395292
+0.0406756
+0.041899
+0.0431984
+0.0445434
+0.0459535
+0.0474229
+0.0489353
+0.0484548
+0.0473041
+0.0462287
+0.0452338
+0.044325
+0.0435076
+0.0427716
+0.0421252
+0.0415842
+0.0411529
+0.0408346
+0.0406116
+0.0405014
+0.040374
+0.0402734
+0.0402867
+0.040401
+0.0406227
+0.0409484
+0.0413876
+0.0419369
+0.0425603
+0.0432721
+0.044062
+0.0449448
+0.0459152
+0.0469679
+0.0480477
+0.0491934
+0.050408
+0.0516752
+0.0529667
+0.0542428
+0.0555759
+0.0569621
+0.0583589
+0.059794
+0.0612715
+0.0627906
+0.0757025
+0.0743508
+0.0730181
+0.0717222
+0.0704496
+0.0690754
+0.0677442
+0.0664552
+0.0651717
+0.0639324
+0.0627385
+0.0615994
+0.0605181
+0.059393
+0.058262
+0.0564237
+0.0546114
+0.0528277
+0.0510757
+0.0493538
+0.0476632
+0.0460148
+0.0444134
+0.0428641
+0.0413697
+0.0399339
+0.0385692
+0.0372834
+0.0360848
+0.0349825
+0.0339858
+0.0331043
+0.0323474
+0.0317102
+0.0311982
+0.0308338
+0.0306221
+0.0304474
+0.0303358
+0.0302899
+0.0303811
+0.0305729
+0.0307407
+0.031009
+0.0313976
+0.0317365
+0.0322211
+0.0328449
+0.0334492
+0.0341759
+0.0350247
+0.0359507
+0.0369619
+0.0380642
+0.0392468
+0.0405065
+0.0418211
+0.0432069
+0.0446572
+0.0461656
+0.047713
+0.0475945
+0.0464225
+0.0453261
+0.044311
+0.0433829
+0.0425474
+0.0417945
+0.0411327
+0.0405785
+0.0401364
+0.0397976
+0.039436
+0.0390893
+0.038862
+0.0387575
+0.0387719
+0.0388907
+0.0391319
+0.039476
+0.0399314
+0.0405004
+0.0411519
+0.041888
+0.0427037
+0.043614
+0.0446133
+0.0456937
+0.0467991
+0.0479743
+0.0492066
+0.0505031
+0.0518014
+0.0531055
+0.0544664
+0.0558606
+0.0572751
+0.0587367
+0.0602401
+0.0617845
+0.0742375
+0.0729134
+0.0715758
+0.0702587
+0.0689826
+0.0677275
+0.0663692
+0.0650564
+0.0637848
+0.0625232
+0.0613072
+0.0601409
+0.059033
+0.0578763
+0.0567462
+0.0556677
+0.0539563
+0.0521502
+0.0503747
+0.0486273
+0.0469106
+0.0452348
+0.0436048
+0.0420257
+0.0405036
+0.0390451
+0.0376508
+0.0363325
+0.0351015
+0.0339673
+0.0329399
+0.0320296
+0.0312426
+0.0305663
+0.0300349
+0.0296218
+0.0292114
+0.0289613
+0.0288497
+0.0288036
+0.0288986
+0.0291132
+0.0292761
+0.0295579
+0.0297614
+0.0301187
+0.0306289
+0.0312797
+0.0319056
+0.0326666
+0.0335392
+0.034482
+0.0355312
+0.0366646
+0.0378661
+0.0391468
+0.0405056
+0.0419349
+0.0434248
+0.0449583
+0.0465442
+0.046821
+0.0456291
+0.0445132
+0.0434791
+0.0425328
+0.0416803
+0.0409115
+0.0402352
+0.039545
+0.0389008
+0.038371
+0.0379604
+0.0376407
+0.0374047
+0.0372961
+0.0373159
+0.0374476
+0.0376981
+0.0380625
+0.0385346
+0.0391239
+0.0398143
+0.0405751
+0.0414167
+0.0423547
+0.0433775
+0.0444469
+0.0455848
+0.0467908
+0.0480665
+0.0493977
+0.050704
+0.0520356
+0.0534195
+0.0548149
+0.0562557
+0.0577431
+0.0592717
+0.0608351
+0.072809
+0.0714585
+0.0701503
+0.0688283
+0.0675287
+0.0662745
+0.0650305
+0.0636923
+0.0624
+0.0611547
+0.0599178
+0.058728
+0.0575635
+0.0564015
+0.0552417
+0.0541446
+0.0530808
+0.051557
+0.0497603
+0.04799
+0.0462496
+0.044549
+0.0428929
+0.0412866
+0.0397361
+0.0382484
+0.0368309
+0.035483
+0.0342215
+0.0330571
+0.0320005
+0.0310627
+0.030231
+0.0295315
+0.0288402
+0.0282621
+0.0278317
+0.0275691
+0.0274554
+0.0274119
+0.0275109
+0.0277497
+0.0279041
+0.0279756
+0.0281862
+0.0285632
+0.0291007
+0.0297848
+0.0304414
+0.0312381
+0.0321018
+0.0330856
+0.0341551
+0.0353001
+0.0365395
+0.0378651
+0.0392683
+0.0407335
+0.042251
+0.0437872
+0.0453506
+0.045955
+0.0446938
+0.0435064
+0.0423989
+0.0413564
+0.040405
+0.0395521
+0.0387668
+0.0380807
+0.0374495
+0.0368989
+0.0364717
+0.0361724
+0.0359874
+0.0358856
+0.0359063
+0.0360603
+0.036332
+0.0367178
+0.037207
+0.037817
+0.038542
+0.0393403
+0.040208
+0.0411478
+0.04216
+0.0432595
+0.0444192
+0.0456523
+0.0469553
+0.0483157
+0.0496781
+0.0510293
+0.0524224
+0.0538381
+0.0553044
+0.0568139
+0.0583572
+0.059877
+0.0714191
+0.0700418
+0.0687067
+0.0674164
+0.0661118
+0.0648318
+0.0636012
+0.0623573
+0.0610497
+0.0597806
+0.0585161
+0.0572613
+0.0560639
+0.0549247
+0.0537731
+0.0526466
+0.0515799
+0.0505504
+0.0492225
+0.0474383
+0.0456843
+0.0439618
+0.0422826
+0.0406522
+0.0390766
+0.0375628
+0.0361184
+0.0347429
+0.0334534
+0.0322613
+0.0311697
+0.0301959
+0.0292181
+0.0283424
+0.0276009
+0.0270119
+0.0265307
+0.0261842
+0.0259941
+0.0259763
+0.0261267
+0.026439
+0.0263999
+0.0264754
+0.0266979
+0.0270956
+0.0276616
+0.0283804
+0.0290687
+0.0298429
+0.030743
+0.0317423
+0.0328262
+0.0340146
+0.0352991
+0.0366697
+0.038104
+0.0395398
+0.0410314
+0.0425835
+0.0441896
+0.0445927
+0.0433133
+0.0420968
+0.0409513
+0.0398933
+0.0389069
+0.0380205
+0.0372419
+0.0365611
+0.0359667
+0.0354866
+0.0350568
+0.0347453
+0.0345564
+0.0344926
+0.0345678
+0.0347305
+0.035027
+0.0354346
+0.0359625
+0.0365936
+0.0373426
+0.0381845
+0.0390368
+0.0399825
+0.0410213
+0.0421303
+0.043319
+0.0445825
+0.0459158
+0.0473087
+0.0487159
+0.050093
+0.0514935
+0.0529341
+0.0543576
+0.0557964
+0.0572829
+0.0588134
+0.0700689
+0.0686658
+0.0673034
+0.0659856
+0.0647136
+0.0634304
+0.0621723
+0.0609195
+0.059621
+0.0583557
+0.0571222
+0.055836
+0.0546074
+0.0534404
+0.0523363
+0.0511944
+0.0501052
+0.0490702
+0.0480752
+0.0469697
+0.0452028
+0.0434744
+0.0417785
+0.0401276
+0.0385305
+0.0369943
+0.0355188
+0.0341182
+0.0327966
+0.03157
+0.0303565
+0.0291997
+0.0281559
+0.0272423
+0.0263645
+0.0256442
+0.0250951
+0.0247286
+0.0245303
+0.0245115
+0.0246711
+0.0248557
+0.0249974
+0.0250771
+0.0253119
+0.025731
+0.0263264
+0.0270806
+0.0277465
+0.0285447
+0.029458
+0.0304663
+0.0315919
+0.0328251
+0.0341447
+0.0354607
+0.0368572
+0.038328
+0.039865
+0.0414608
+0.0430839
+0.0432919
+0.0419729
+0.040729
+0.0395674
+0.038476
+0.0374763
+0.036556
+0.0357456
+0.0350535
+0.0344832
+0.0339952
+0.0336227
+0.033379
+0.0332083
+0.0331419
+0.0332202
+0.0334421
+0.0337808
+0.034222
+0.0347744
+0.0354384
+0.0362117
+0.0370649
+0.0379332
+0.0388999
+0.0399477
+0.0410856
+0.0423036
+0.0435966
+0.0449592
+0.046381
+0.0478292
+0.0491957
+0.0504967
+0.0518576
+0.0532739
+0.0547412
+0.0562556
+0.0578015
+0.0687135
+0.0673209
+0.0659365
+0.0645927
+0.0632962
+0.0620372
+0.0607885
+0.0595221
+0.0581958
+0.0569183
+0.0556845
+0.0544616
+0.0532012
+0.0520027
+0.0508703
+0.0497843
+0.0486636
+0.0476174
+0.0466293
+0.0456751
+0.0447326
+0.0430742
+0.0413729
+0.0397132
+0.0380895
+0.0365251
+0.0350278
+0.0335827
+0.0321315
+0.0307622
+0.029474
+0.0282695
+0.0270949
+0.0260284
+0.0251082
+0.0243508
+0.0237718
+0.0233845
+0.0231814
+0.0231549
+0.0231016
+0.0232555
+0.0236125
+0.0237986
+0.0240458
+0.0244867
+0.0251116
+0.0258521
+0.0265267
+0.0273344
+0.0282487
+0.0292967
+0.0304242
+0.0316001
+0.0328801
+0.0342447
+0.0356888
+0.0372058
+0.0387873
+0.0403919
+0.0420445
+0.0420357
+0.0407006
+0.0394166
+0.0382151
+0.0371041
+0.0360921
+0.0351662
+0.034323
+0.033601
+0.0330064
+0.0325241
+0.0321833
+0.0319433
+0.0318404
+0.0318836
+0.0319659
+0.032188
+0.0325362
+0.0330264
+0.0336315
+0.0343449
+0.035168
+0.0360341
+0.0369168
+0.0378928
+0.0389677
+0.0401334
+0.0413795
+0.0427005
+0.0440907
+0.0455399
+0.0468278
+0.0480955
+0.0494254
+0.0508151
+0.0522596
+0.0537511
+0.0552125
+0.0566881
+0.0672329
+0.0658233
+0.0644313
+0.0630585
+0.0617299
+0.0604514
+0.05922
+0.058025
+0.0568159
+0.0555114
+0.054258
+0.0530472
+0.0518315
+0.050619
+0.0494549
+0.0483621
+0.0472796
+0.046202
+0.0452043
+0.0442581
+0.0433181
+0.0424203
+0.0410692
+0.0393851
+0.0376867
+0.0360413
+0.0344562
+0.0328989
+0.0314161
+0.0300038
+0.0285768
+0.02725
+0.0260345
+0.0249481
+0.0239865
+0.0231925
+0.0225839
+0.0221759
+0.0219276
+0.0216509
+0.0215939
+0.0217585
+0.0221397
+0.0226306
+0.0229197
+0.0233818
+0.0240354
+0.0246793
+0.0253119
+0.0261136
+0.0270434
+0.0280558
+0.0291627
+0.0303875
+0.0317151
+0.0331245
+0.0346153
+0.0361774
+0.0377623
+0.0394034
+0.0410958
+0.040792
+0.0394364
+0.0381584
+0.0369433
+0.0357929
+0.0347427
+0.033802
+0.0329582
+0.0322046
+0.0315853
+0.0311071
+0.030753
+0.0305498
+0.030465
+0.0305145
+0.0306971
+0.0309832
+0.0313744
+0.0318973
+0.0325449
+0.0333022
+0.0341602
+0.0350955
+0.0359877
+0.0369882
+0.0380886
+0.0392804
+0.0405527
+0.0418998
+0.0431414
+0.0443381
+0.0455864
+0.0468953
+0.0482464
+0.0496161
+0.0510321
+0.0524871
+0.0539788
+0.0555103
+0.065709
+0.0643247
+0.0629353
+0.0615599
+0.0602025
+0.0588908
+0.0576327
+0.0563973
+0.0552035
+0.0540114
+0.0528325
+0.0516052
+0.0504033
+0.0492251
+0.0480806
+0.0469734
+0.0458991
+0.0448302
+0.0437885
+0.0428044
+0.0419118
+0.0410318
+0.0402024
+0.0388797
+0.037158
+0.035488
+0.0338775
+0.0323226
+0.0307639
+0.02921
+0.0277423
+0.0263735
+0.0251156
+0.0239923
+0.0230191
+0.0221906
+0.0215537
+0.021048
+0.0205598
+0.0202717
+0.0202108
+0.0203866
+0.0207929
+0.0213074
+0.0219491
+0.0223399
+0.0229009
+0.0233769
+0.0240439
+0.0248692
+0.0258228
+0.0268619
+0.0280161
+0.0292846
+0.0306493
+0.0321055
+0.0336415
+0.0352089
+0.0368335
+0.0385142
+0.040244
+0.0396305
+0.0382337
+0.0369141
+0.0356804
+0.0345416
+0.0334823
+0.0325052
+0.0316424
+0.0308628
+0.0302178
+0.0297207
+0.029357
+0.0291122
+0.0290311
+0.029115
+0.0293626
+0.0297628
+0.0302314
+0.0308273
+0.0315152
+0.0323194
+0.0332425
+0.0342133
+0.0351279
+0.0361522
+0.0372245
+0.0383471
+0.0395592
+0.0407241
+0.0418669
+0.0430661
+0.0443275
+0.0456325
+0.0469647
+0.0483522
+0.0497759
+0.0512527
+0.0527493
+0.0542741
+0.0642159
+0.0628067
+0.0614351
+0.0600682
+0.0587104
+0.0573715
+0.0560793
+0.0548089
+0.0535797
+0.0524132
+0.0512318
+0.0500824
+0.0489202
+0.0477573
+0.0466036
+0.0455021
+0.0444459
+0.0434319
+0.0423921
+0.0414015
+0.040478
+0.0396542
+0.0388582
+0.0381073
+0.0367299
+0.0350631
+0.0334321
+0.0318088
+0.0301498
+0.0285626
+0.0270597
+0.0256545
+0.0243596
+0.0231997
+0.0221959
+0.0213669
+0.0205989
+0.0198615
+0.0193433
+0.0190368
+0.018972
+0.0191591
+0.0195887
+0.0201361
+0.0207692
+0.0211671
+0.0217132
+0.0222147
+0.0229087
+0.0237551
+0.0247153
+0.0257991
+0.0269912
+0.028297
+0.029707
+0.0312051
+0.0327423
+0.0343504
+0.0360142
+0.0377315
+0.0394956
+0.0384974
+0.037083
+0.035747
+0.0344858
+0.0333063
+0.0322326
+0.031241
+0.0303197
+0.0295158
+0.0288562
+0.028341
+0.0279808
+0.0277578
+0.0276854
+0.0277734
+0.0280329
+0.0284541
+0.0290078
+0.0297131
+0.0305183
+0.0313891
+0.0323455
+0.0332151
+0.0340724
+0.0350223
+0.0360706
+0.0372022
+0.0383915
+0.0394648
+0.0406133
+0.0418149
+0.043065
+0.0443669
+0.0457092
+0.0471099
+0.0485464
+0.0500127
+0.0515219
+0.0530775
+0.0627541
+0.0613182
+0.0599239
+0.0585667
+0.0572243
+0.055887
+0.0545696
+0.0532633
+0.0519975
+0.0507947
+0.0496594
+0.0484887
+0.0473753
+0.0462714
+0.0451483
+0.0440424
+0.0429922
+0.0419828
+0.0410126
+0.0400298
+0.0391143
+0.0382611
+0.0375166
+0.0366504
+0.0357517
+0.0346382
+0.0330639
+0.0313687
+0.0296851
+0.0280716
+0.026541
+0.0251068
+0.023782
+0.0225925
+0.0215604
+0.0205909
+0.0196211
+0.0188557
+0.018309
+0.0179849
+0.0179163
+0.0181118
+0.0185207
+0.0189349
+0.019507
+0.0201342
+0.0206226
+0.0212156
+0.0219143
+0.0227733
+0.0237462
+0.0248729
+0.0261009
+0.027449
+0.0288639
+0.0303615
+0.0319393
+0.0335859
+0.0352917
+0.0370485
+0.0387875
+0.0373053
+0.0358945
+0.0345397
+0.0332726
+0.0320845
+0.0309686
+0.0299716
+0.0290605
+0.0282634
+0.0275739
+0.0270421
+0.026666
+0.0264573
+0.0264032
+0.0265305
+0.0268164
+0.0272452
+0.027823
+0.0285576
+0.0294372
+0.0304493
+0.0313318
+0.0320407
+0.0328745
+0.0338298
+0.0348966
+0.0360651
+0.0371526
+0.0382314
+0.0393493
+0.0405426
+0.0418164
+0.0431211
+0.044478
+0.0458722
+0.047317
+0.0487926
+0.0502886
+0.0518288
+0.0613277
+0.0598659
+0.0584411
+0.0570637
+0.055723
+0.0544027
+0.0530506
+0.0517407
+0.0504608
+0.0492205
+0.048048
+0.0469237
+0.0457855
+0.0447117
+0.0436611
+0.0426049
+0.0415303
+0.0405294
+0.0395627
+0.0386516
+0.0377592
+0.0369338
+0.036162
+0.0352149
+0.0342786
+0.0334521
+0.032589
+0.0310755
+0.0293751
+0.0277437
+0.0261939
+0.0247406
+0.0233961
+0.0221859
+0.0209965
+0.0198276
+0.0188185
+0.0180204
+0.0174624
+0.0171196
+0.0169425
+0.0169339
+0.0171813
+0.0176499
+0.0182835
+0.0191041
+0.0196642
+0.020302
+0.0210793
+0.0219088
+0.0229184
+0.0240852
+0.0253414
+0.0266775
+0.0281209
+0.0296561
+0.0312694
+0.0329495
+0.0346866
+0.0364726
+0.0377
+0.0361733
+0.0347177
+0.0333398
+0.0320257
+0.030811
+0.0297083
+0.0286987
+0.0277783
+0.0270041
+0.0263716
+0.0258584
+0.0254688
+0.0252598
+0.0252234
+0.0253567
+0.0256768
+0.0261449
+0.0267653
+0.0275281
+0.028412
+0.0292697
+0.0301391
+0.030869
+0.0317115
+0.0326441
+0.0336935
+0.0348492
+0.0358864
+0.036932
+0.0380751
+0.039307
+0.0405752
+0.0418703
+0.0432278
+0.0446205
+0.046055
+0.0475322
+0.0490479
+0.0506074
+0.0597905
+0.0584488
+0.0569996
+0.0555878
+0.0542277
+0.0529007
+0.0515716
+0.050228
+0.0489406
+0.047695
+0.0464766
+0.0453224
+0.0442203
+0.0431351
+0.0421004
+0.0411022
+0.0400866
+0.0390488
+0.0381087
+0.0372167
+0.0363913
+0.0355262
+0.0346428
+0.0338581
+0.0328855
+0.0320311
+0.0312855
+0.030403
+0.0289509
+0.0275555
+0.0259946
+0.0245301
+0.0231805
+0.0218258
+0.0204756
+0.0192751
+0.0182355
+0.0174107
+0.0166676
+0.0160724
+0.0157617
+0.0157525
+0.0160276
+0.016551
+0.0172526
+0.0181099
+0.0189121
+0.0195705
+0.020379
+0.0212359
+0.0222745
+0.0234423
+0.0246869
+0.0260566
+0.0275326
+0.0290988
+0.0307414
+0.0324489
+0.0342114
+0.036021
+0.0366298
+0.0351106
+0.0336413
+0.0322203
+0.0308822
+0.029622
+0.0284739
+0.0274523
+0.0265608
+0.02575
+0.0250859
+0.0245982
+0.0242722
+0.0241298
+0.0241589
+0.0242979
+0.0246316
+0.0251421
+0.0258054
+0.0265153
+0.0272569
+0.0281222
+0.0288792
+0.0296094
+0.0304683
+0.0314378
+0.0325262
+0.0336155
+0.0346163
+0.0356991
+0.0368603
+0.0380582
+0.0393026
+0.0406006
+0.0419449
+0.0433401
+0.0447832
+0.0462791
+0.0478017
+0.0493663
+0.0582341
+0.0568964
+0.0555899
+0.054159
+0.0527621
+0.0514153
+0.0500779
+0.0487638
+0.0474157
+0.04613
+0.0449145
+0.0437494
+0.042634
+0.0415711
+0.0405448
+0.0395593
+0.0386222
+0.0376237
+0.036657
+0.0357883
+0.0349743
+0.0339902
+0.0330672
+0.0322653
+0.031583
+0.0306924
+0.0299307
+0.0292641
+0.0283873
+0.0270066
+0.0257193
+0.0245039
+0.0229952
+0.0215078
+0.0201492
+0.0189471
+0.0177098
+0.0166195
+0.0157593
+0.0151302
+0.0147997
+0.0147899
+0.0151005
+0.0156575
+0.0164439
+0.0172988
+0.0183531
+0.0190194
+0.019806
+0.0207461
+0.021748
+0.0229151
+0.0242137
+0.0256086
+0.027109
+0.0286978
+0.0303568
+0.0320788
+0.033855
+0.0356773
+0.0355896
+0.0340292
+0.0325347
+0.0311229
+0.0298038
+0.0285184
+0.0273281
+0.0262635
+0.025344
+0.0245858
+0.023932
+0.0234203
+0.0230776
+0.0229279
+0.0229869
+0.023253
+0.0237075
+0.0242615
+0.0247722
+0.0253602
+0.0260636
+0.0268764
+0.0276829
+0.0284438
+0.0293362
+0.0303125
+0.0313876
+0.0323639
+0.0333721
+0.0344394
+0.0355554
+0.0367599
+0.0380142
+0.0393098
+0.0406616
+0.0420759
+0.0435255
+0.045032
+0.046568
+0.0480534
+0.0567196
+0.0553453
+0.054025
+0.0527418
+0.0513481
+0.0499686
+0.048605
+0.0472897
+0.0459172
+0.0445892
+0.0433304
+0.042148
+0.0410349
+0.0399595
+0.0389771
+0.0380274
+0.0371031
+0.0361843
+0.0352186
+0.0343259
+0.0333682
+0.0324503
+0.0315538
+0.030724
+0.0300195
+0.0294534
+0.0285336
+0.0276648
+0.0269382
+0.0262446
+0.0252912
+0.0241104
+0.0229023
+0.0214084
+0.0198949
+0.0184307
+0.0171074
+0.0159761
+0.0150801
+0.0144605
+0.0141149
+0.0141046
+0.0143975
+0.0149778
+0.0158423
+0.0167369
+0.0178482
+0.0186308
+0.0194132
+0.020328
+0.0213687
+0.022574
+0.0238973
+0.0253216
+0.026831
+0.0284292
+0.0301021
+0.0318378
+0.0336267
+0.0354608
+0.0345698
+0.0330013
+0.0315018
+0.0300516
+0.0286849
+0.0274252
+0.0262549
+0.0252045
+0.0242472
+0.0234536
+0.0228084
+0.0223125
+0.0220223
+0.0218652
+0.021927
+0.0222057
+0.0226935
+0.0231243
+0.0236071
+0.0242006
+0.0249332
+0.0256848
+0.0264818
+0.0272416
+0.0281342
+0.029136
+0.0302189
+0.031104
+0.0320582
+0.033108
+0.0342281
+0.0354418
+0.0367198
+0.0380317
+0.0393943
+0.0408183
+0.0423078
+0.0437872
+0.0452579
+0.0467776
+0.0552349
+0.0538387
+0.0524804
+0.05118
+0.0499218
+0.0485474
+0.0471788
+0.0458318
+0.0444735
+0.0431041
+0.0418012
+0.0405742
+0.0394303
+0.0383579
+0.037334
+0.0364131
+0.0355617
+0.0347074
+0.0337623
+0.0327186
+0.0317398
+0.0308624
+0.0300279
+0.0292429
+0.0285177
+0.0279297
+0.0269918
+0.0261345
+0.0253718
+0.0247128
+0.0240975
+0.0236274
+0.0227327
+0.0212145
+0.019607
+0.0181195
+0.0167717
+0.0156161
+0.0146981
+0.0140492
+0.0136927
+0.013682
+0.0139948
+0.0145913
+0.0154654
+0.0164499
+0.0174488
+0.0184683
+0.0192574
+0.0201386
+0.0211887
+0.0224043
+0.0237365
+0.0251867
+0.0267226
+0.0283269
+0.0300055
+0.0317465
+0.0335403
+0.035254
+0.0336099
+0.0320256
+0.030485
+0.0290266
+0.0276455
+0.0263702
+0.0251902
+0.0241226
+0.0231971
+0.0224046
+0.0217683
+0.0213162
+0.0210143
+0.0208979
+0.0210069
+0.0213037
+0.0216519
+0.0219908
+0.0224403
+0.023045
+0.0236994
+0.0245327
+0.0253132
+0.0260746
+0.0269554
+0.0279804
+0.028934
+0.0297774
+0.0307354
+0.0317856
+0.0329249
+0.0341525
+0.0354378
+0.0367668
+0.0381707
+0.0396034
+0.0410518
+0.0424976
+0.0439732
+0.0455029
+0.0537724
+0.0523564
+0.0509833
+0.0496436
+0.048366
+0.0471368
+0.0457707
+0.0444246
+0.0430481
+0.0416764
+0.0403329
+0.0390599
+0.0378709
+0.0367679
+0.035749
+0.0347863
+0.0339378
+0.0331519
+0.0322035
+0.0311217
+0.0301405
+0.0292477
+0.028469
+0.0277191
+0.0270624
+0.0264229
+0.0255177
+0.0246147
+0.0238791
+0.0231819
+0.0225955
+0.0221404
+0.0217878
+0.0211396
+0.019526
+0.0180304
+0.0166812
+0.0155251
+0.0146025
+0.0139193
+0.0135594
+0.0135486
+0.0138634
+0.0144653
+0.0151304
+0.0159968
+0.016908
+0.0179655
+0.019215
+0.0201866
+0.0212343
+0.0224475
+0.0237772
+0.0252251
+0.0267742
+0.0283879
+0.030065
+0.0318045
+0.0335963
+0.0343717
+0.0327046
+0.0310819
+0.0295283
+0.0280559
+0.0266532
+0.0253431
+0.0241547
+0.0230746
+0.0221484
+0.0213839
+0.020767
+0.0203097
+0.0200391
+0.0200061
+0.0201518
+0.0203212
+0.020494
+0.0207919
+0.0212845
+0.0217928
+0.022484
+0.0233441
+0.0241514
+0.0249524
+0.0258145
+0.0267992
+0.0276321
+0.0284635
+0.0294207
+0.0304915
+0.0316618
+0.0329265
+0.0342117
+0.0355444
+0.0369124
+0.0383302
+0.039737
+0.0411929
+0.0427097
+0.044283
+0.0523572
+0.0509055
+0.0495044
+0.0481495
+0.0468311
+0.0455799
+0.0443455
+0.0429491
+0.041621
+0.0402514
+0.0389068
+0.037606
+0.036376
+0.0352327
+0.0341783
+0.0332243
+0.0323348
+0.0315726
+0.0307124
+0.0295762
+0.028563
+0.0276561
+0.0268596
+0.0262175
+0.0255612
+0.0249132
+0.0240839
+0.0231701
+0.0223932
+0.0217272
+0.0211566
+0.0207204
+0.0203731
+0.0202249
+0.0196781
+0.0181951
+0.0168591
+0.0157161
+0.0148054
+0.0141319
+0.0137776
+0.0137445
+0.0138999
+0.014242
+0.0148623
+0.0154458
+0.016305
+0.0173993
+0.0186866
+0.0200471
+0.0213918
+0.0226515
+0.0239929
+0.0254346
+0.0269602
+0.0285724
+0.0302562
+0.0319855
+0.0337683
+0.033216
+0.0317249
+0.0302112
+0.0286639
+0.0271514
+0.0257124
+0.0243754
+0.0231687
+0.0220785
+0.021108
+0.0203282
+0.0197539
+0.0193351
+0.0191248
+0.0190902
+0.0191431
+0.0190829
+0.0192611
+0.0195674
+0.0200523
+0.0205849
+0.021315
+0.0222378
+0.0229357
+0.0236515
+0.0245425
+0.025572
+0.0263469
+0.0272021
+0.0281804
+0.0292793
+0.0304821
+0.0317051
+0.032946
+0.034274
+0.035639
+0.0370227
+0.0384608
+0.0399604
+0.0415214
+0.0431261
+0.0509427
+0.0494825
+0.0480397
+0.0466551
+0.0453342
+0.0440552
+0.042835
+0.0414781
+0.0401078
+0.0388061
+0.0374947
+0.0361903
+0.0349292
+0.0337453
+0.0326638
+0.0316801
+0.0308043
+0.0300032
+0.029053
+0.0280885
+0.02704
+0.0261124
+0.0253075
+0.0246249
+0.0241011
+0.0234366
+0.0226018
+0.0217208
+0.0209666
+0.0203167
+0.0197596
+0.0193677
+0.0190734
+0.0188714
+0.0188485
+0.0186103
+0.0173142
+0.0162037
+0.0152818
+0.0146303
+0.0142661
+0.0139266
+0.0139276
+0.0141901
+0.0144727
+0.0150717
+0.0159515
+0.0170688
+0.0183803
+0.0197446
+0.0210574
+0.0224905
+0.0240354
+0.0256264
+0.0272435
+0.0289077
+0.0305742
+0.0323034
+0.0336799
+0.0320609
+0.0305134
+0.0290487
+0.0276801
+0.0262323
+0.0248879
+0.0235193
+0.0222703
+0.0211706
+0.0202165
+0.0194074
+0.0188095
+0.0184489
+0.0182375
+0.0179862
+0.0179061
+0.0178945
+0.0180383
+0.0184279
+0.0189138
+0.0194805
+0.0202393
+0.0210609
+0.0216242
+0.0223813
+0.0232845
+0.0243007
+0.0251346
+0.026006
+0.0270052
+0.0280995
+0.029253
+0.0304344
+0.0316889
+0.0330026
+0.0343586
+0.0357659
+0.0372451
+0.0387917
+0.040384
+0.042019
+0.04949
+0.0480302
+0.0465823
+0.0451702
+0.0438046
+0.042508
+0.041287
+0.0400562
+0.0386463
+0.0373074
+0.0360375
+0.0347952
+0.0335318
+0.0323279
+0.031199
+0.030184
+0.0292852
+0.0284396
+0.0274199
+0.0264317
+0.0255407
+0.0246326
+0.023813
+0.0231303
+0.0225743
+0.0219708
+0.0211274
+0.0202671
+0.0195063
+0.0188987
+0.0183996
+0.0179989
+0.0176986
+0.017532
+0.0175313
+0.0176636
+0.0179025
+0.0168661
+0.0158242
+0.0150116
+0.0144875
+0.014227
+0.0140389
+0.0140511
+0.0143797
+0.0149825
+0.0158672
+0.0169901
+0.0181177
+0.0193434
+0.020723
+0.0221969
+0.0237711
+0.0254042
+0.0270339
+0.0287124
+0.0303617
+0.0320708
+0.0326884
+0.0310177
+0.0294153
+0.0278931
+0.0264648
+0.0251465
+0.023825
+0.0225818
+0.0214803
+0.0203973
+0.0194025
+0.0186018
+0.0179973
+0.0174203
+0.0169853
+0.0167806
+0.0166673
+0.0166789
+0.0168331
+0.0172332
+0.0177713
+0.018403
+0.0192191
+0.0198206
+0.0203694
+0.0210855
+0.0219828
+0.0230278
+0.0239906
+0.0248351
+0.0258188
+0.0268648
+0.0279859
+0.0291893
+0.0304424
+0.0317734
+0.0331415
+0.0345942
+0.036119
+0.0376929
+0.0393108
+0.0409361
+0.0479733
+0.0465833
+0.0451424
+0.0437087
+0.042333
+0.0409899
+0.0397223
+0.0384932
+0.0372439
+0.0358586
+0.0345553
+0.0333258
+0.0321677
+0.030952
+0.0298045
+0.0287402
+0.0277541
+0.0268694
+0.0258222
+0.024812
+0.0239246
+0.0231114
+0.0223958
+0.0217132
+0.0211618
+0.0205023
+0.0196862
+0.0188787
+0.0181073
+0.0175349
+0.0170016
+0.0166006
+0.0163885
+0.0162675
+0.0162861
+0.0164467
+0.0167397
+0.017163
+0.0162709
+0.0154818
+0.0149742
+0.0145398
+0.0142179
+0.0142299
+0.014575
+0.0152021
+0.0160429
+0.0168811
+0.017949
+0.0191855
+0.0205757
+0.0220959
+0.023682
+0.0253439
+0.026897
+0.0284984
+0.0297746
+0.0310733
+0.031817
+0.030098
+0.0284439
+0.0268667
+0.0253807
+0.0239596
+0.0226351
+0.0213878
+0.0202322
+0.0192573
+0.0184302
+0.0176491
+0.0168499
+0.0161732
+0.0157743
+0.015518
+0.0153648
+0.0153887
+0.0155566
+0.016025
+0.0165734
+0.0172855
+0.0181532
+0.0185747
+0.0191077
+0.0198693
+0.020799
+0.0219006
+0.0228105
+0.0236501
+0.0245678
+0.0256141
+0.0267689
+0.0279687
+0.0292512
+0.0306058
+0.0320237
+0.0335154
+0.035069
+0.0366375
+0.038251
+0.0399196
+0.0464774
+0.0450469
+0.0436729
+0.0422845
+0.0408679
+0.0395221
+0.0382159
+0.0369298
+0.0357102
+0.034457
+0.0331261
+0.0318617
+0.0306874
+0.0295328
+0.0283647
+0.0272703
+0.0262853
+0.0253889
+0.0242681
+0.0232278
+0.0223134
+0.0215651
+0.0208514
+0.0203002
+0.0198761
+0.0190081
+0.0182245
+0.0174523
+0.0167638
+0.016162
+0.0156297
+0.0152859
+0.0152066
+0.0150847
+0.0150969
+0.0152568
+0.0156036
+0.0160765
+0.0167181
+0.0162317
+0.0156295
+0.0150354
+0.0147244
+0.0147359
+0.0150694
+0.0155322
+0.0161012
+0.0169365
+0.0180011
+0.019257
+0.0206556
+0.022174
+0.0237537
+0.0251838
+0.0263378
+0.0275465
+0.0288067
+0.0301547
+0.0310417
+0.0293135
+0.0276124
+0.0259503
+0.0243415
+0.0228297
+0.0214355
+0.0201832
+0.0191009
+0.0180904
+0.0172734
+0.0165678
+0.0157326
+0.0150665
+0.0145629
+0.0142758
+0.0141624
+0.0141547
+0.0143714
+0.0148771
+0.0154444
+0.0161913
+0.0170597
+0.017435
+0.0180018
+0.0187832
+0.0197544
+0.0207777
+0.0215254
+0.0223576
+0.0233383
+0.0244279
+0.0255861
+0.026819
+0.0281097
+0.0294974
+0.030978
+0.0324859
+0.0340147
+0.0356128
+0.0372532
+0.0389277
+0.0450384
+0.0435607
+0.0421451
+0.0407901
+0.0394247
+0.0380278
+0.0367085
+0.0354177
+0.0341612
+0.0329834
+0.0317278
+0.0304636
+0.0292482
+0.0281428
+0.0269838
+0.0258746
+0.0248382
+0.0238356
+0.0227561
+0.0217139
+0.0207643
+0.0199663
+0.0193817
+0.0188315
+0.0184807
+0.0175642
+0.016767
+0.0160016
+0.0152975
+0.0147563
+0.0142616
+0.0139716
+0.0138504
+0.0137491
+0.0139452
+0.0141629
+0.0145065
+0.0150986
+0.0158382
+0.0165747
+0.0163693
+0.0157828
+0.0154868
+0.0154978
+0.0156239
+0.0158904
+0.016447
+0.0172656
+0.0183111
+0.0195471
+0.0209262
+0.02232
+0.0232657
+0.0242383
+0.0253632
+0.0266212
+0.0279585
+0.0293455
+0.0302869
+0.0285687
+0.0268448
+0.0251027
+0.0234358
+0.0218615
+0.0204012
+0.0190812
+0.0179325
+0.0169898
+0.016224
+0.015501
+0.0146619
+0.0139114
+0.0133732
+0.0130857
+0.0129505
+0.0129251
+0.0131951
+0.0138047
+0.0143879
+0.0151498
+0.0160877
+0.0164896
+0.0170787
+0.0178749
+0.0188928
+0.019536
+0.0202836
+0.0211379
+0.0221157
+0.0232049
+0.0244046
+0.0256284
+0.0269659
+0.0284095
+0.0298865
+0.0313724
+0.0329371
+0.0345538
+0.0362205
+0.0379072
+0.043594
+0.0421221
+0.0406708
+0.0392733
+0.0379412
+0.0365906
+0.0352176
+0.0339305
+0.0326689
+0.031444
+0.0302623
+0.0290728
+0.0278901
+0.0267385
+0.0256879
+0.0245092
+0.0234353
+0.0223125
+0.0211842
+0.0201764
+0.0192307
+0.0184781
+0.0178475
+0.0174531
+0.0171071
+0.0161463
+0.0153032
+0.0145555
+0.0138712
+0.013337
+0.012938
+0.0127082
+0.0126452
+0.0125567
+0.0126999
+0.0130314
+0.0135212
+0.0141673
+0.0149713
+0.015584
+0.0157512
+0.0157239
+0.0158684
+0.0161684
+0.0162285
+0.0165334
+0.0170689
+0.0178589
+0.0188715
+0.0199781
+0.0208668
+0.0215041
+0.0223389
+0.0233501
+0.0245159
+0.0258152
+0.027229
+0.0286811
+0.029669
+0.0279191
+0.0261884
+0.024409
+0.0226996
+0.0210704
+0.0195511
+0.0181694
+0.0169591
+0.015959
+0.0152108
+0.0143606
+0.0136006
+0.0128697
+0.0122882
+0.0119373
+0.0118168
+0.0117967
+0.0121308
+0.0126429
+0.0133448
+0.0141845
+0.0152297
+0.0157305
+0.0162996
+0.017132
+0.0176757
+0.0183127
+0.0191314
+0.0199827
+0.0209474
+0.0220449
+0.0232797
+0.0245446
+0.0259025
+0.02731
+0.0287574
+0.0302681
+0.0318579
+0.0335155
+0.035183
+0.0368993
+0.0421641
+0.0406595
+0.0391998
+0.0378084
+0.0364385
+0.0351346
+0.0338029
+0.0324598
+0.0312127
+0.0299686
+0.0287919
+0.0276109
+0.0264871
+0.0253949
+0.0243645
+0.0231641
+0.0220441
+0.0208801
+0.0196728
+0.0186109
+0.0177221
+0.0169471
+0.0163919
+0.0160003
+0.0156671
+0.014771
+0.0138554
+0.0131624
+0.0125314
+0.0120283
+0.0116275
+0.0114583
+0.0114428
+0.0113436
+0.0115261
+0.0119543
+0.0125702
+0.0133115
+0.0140518
+0.0144624
+0.0145536
+0.0145435
+0.014819
+0.0150431
+0.0154982
+0.0162319
+0.0171237
+0.0182047
+0.0190016
+0.0196097
+0.0200686
+0.0207306
+0.0215954
+0.0226398
+0.0238403
+0.0251745
+0.0266224
+0.0281166
+0.0282289
+0.0272066
+0.0254483
+0.0237544
+0.0221117
+0.0204627
+0.0188946
+0.0174611
+0.0161979
+0.0150887
+0.0139874
+0.0130665
+0.0122386
+0.0116636
+0.0111751
+0.0107807
+0.0105916
+0.0105656
+0.0108997
+0.0114618
+0.0122545
+0.0131336
+0.0141143
+0.0151076
+0.0157227
+0.0161687
+0.0165507
+0.0171744
+0.0179217
+0.0188475
+0.019823
+0.0209145
+0.0220955
+0.023415
+0.0247737
+0.0261837
+0.0276752
+0.0292248
+0.0308082
+0.0324553
+0.034159
+0.0359045
+0.0407441
+0.0392327
+0.0377408
+0.0363068
+0.0349351
+0.0336269
+0.0323207
+0.0310453
+0.029769
+0.0285605
+0.027351
+0.0262238
+0.0250622
+0.024011
+0.0230464
+0.0219426
+0.0207705
+0.0194404
+0.018255
+0.0171412
+0.0161866
+0.0154534
+0.0149255
+0.0146055
+0.0142891
+0.013372
+0.0124597
+0.0117705
+0.0112395
+0.0108176
+0.0104675
+0.0102706
+0.010285
+0.0102434
+0.010481
+0.0109887
+0.0118043
+0.0125457
+0.013135
+0.0135604
+0.0134507
+0.0134544
+0.0137619
+0.0140847
+0.0145736
+0.0153506
+0.0162873
+0.0171467
+0.0178338
+0.0186582
+0.0194425
+0.0201496
+0.021049
+0.0221192
+0.0233465
+0.0247074
+0.0261811
+0.0262646
+0.0260423
+0.0260033
+0.0244
+0.0227239
+0.0210558
+0.0194797
+0.0178948
+0.0163867
+0.0150335
+0.0138054
+0.0127073
+0.0116522
+0.0108311
+0.0102376
+0.00982376
+0.00941318
+0.0093485
+0.00931161
+0.00963664
+0.0102865
+0.0111639
+0.0120369
+0.0130553
+0.0140874
+0.0147208
+0.0150228
+0.0154055
+0.0160208
+0.0166993
+0.0175649
+0.0185732
+0.0197073
+0.0209568
+0.022325
+0.0236781
+0.0250826
+0.0265811
+0.0281505
+0.0297545
+0.0314095
+0.0331267
+0.0348762
+0.0393044
+0.037814
+0.0363167
+0.0348505
+0.0334422
+0.0320903
+0.0308016
+0.0295436
+0.0283352
+0.0271583
+0.0259632
+0.0248439
+0.0237284
+0.0226471
+0.0216954
+0.0207785
+0.0195349
+0.0180923
+0.0168121
+0.0156984
+0.0147637
+0.0139891
+0.0134943
+0.0132605
+0.0129493
+0.0120034
+0.0110727
+0.0105039
+0.0100167
+0.00963363
+0.00934529
+0.0092108
+0.00930934
+0.00922287
+0.0095533
+0.0102853
+0.011047
+0.0118581
+0.0121156
+0.0124635
+0.0124633
+0.0125183
+0.0128505
+0.0132524
+0.0138746
+0.0145842
+0.0152648
+0.0161435
+0.0167678
+0.0176022
+0.0186437
+0.0195637
+0.0206709
+0.02177
+0.0230159
+0.0243952
+0.0245352
+0.0240988
+0.0238563
+0.0238137
+0.0232337
+0.0215397
+0.0199027
+0.0183496
+0.0168728
+0.0153897
+0.0139598
+0.0126421
+0.0114129
+0.0103067
+0.00950515
+0.00898478
+0.008388
+0.00802772
+0.00809948
+0.00823441
+0.00865821
+0.0092202
+0.0100126
+0.0109267
+0.0120348
+0.0128979
+0.0135863
+0.0138813
+0.0142756
+0.0148074
+0.0155207
+0.0164089
+0.0174216
+0.0185908
+0.0199197
+0.0212052
+0.0225428
+0.0240062
+0.0254939
+0.0270549
+0.0286983
+0.0304108
+0.0321506
+0.0338975
+0.0378854
+0.0364099
+0.034913
+0.0334293
+0.0319903
+0.0305903
+0.0292707
+0.0280336
+0.0268334
+0.025694
+0.0245777
+0.0234376
+0.0223798
+0.0213648
+0.0203948
+0.0194737
+0.018441
+0.0169059
+0.0155283
+0.0143331
+0.0133677
+0.0126152
+0.0121202
+0.0119211
+0.0115079
+0.0106323
+0.00981238
+0.00915528
+0.00869248
+0.0083655
+0.00824757
+0.00812612
+0.00812833
+0.00829584
+0.00877985
+0.00941452
+0.0102963
+0.0107208
+0.011153
+0.0115076
+0.011461
+0.0115431
+0.0119313
+0.0123513
+0.0130948
+0.0137337
+0.0143756
+0.0151033
+0.0157491
+0.0166212
+0.0176852
+0.0186998
+0.0198422
+0.0211504
+0.0224865
+0.0230938
+0.0224165
+0.0219379
+0.0216713
+0.0216244
+0.0217628
+0.0204309
+0.0187486
+0.017134
+0.0156335
+0.0141788
+0.0127896
+0.0114246
+0.0101654
+0.00903048
+0.00821139
+0.00761088
+0.00706523
+0.00680754
+0.00686337
+0.00701771
+0.00754155
+0.00811871
+0.00902253
+0.0100477
+0.0110178
+0.0119191
+0.0126332
+0.0127404
+0.0131611
+0.013604
+0.0142864
+0.0152157
+0.0162817
+0.0174916
+0.0187834
+0.0200434
+0.0214537
+0.022921
+0.0244499
+0.0260735
+0.027764
+0.0294968
+0.0312253
+0.0330087
+0.0365004
+0.0350219
+0.0335502
+0.032049
+0.0305832
+0.0291592
+0.0277865
+0.0265121
+0.0253389
+0.0241885
+0.0231119
+0.0219963
+0.0209202
+0.0199776
+0.0191073
+0.0182334
+0.0172925
+0.0159043
+0.01444
+0.01315
+0.0120695
+0.0112828
+0.010799
+0.0106671
+0.0100918
+0.00922923
+0.00845562
+0.00784186
+0.0074003
+0.00712119
+0.00713266
+0.00720736
+0.00713156
+0.0074499
+0.00793365
+0.00871712
+0.00926072
+0.00945764
+0.0100073
+0.0104085
+0.0103954
+0.0106171
+0.0108656
+0.0112998
+0.0121206
+0.0129122
+0.0135351
+0.0142114
+0.014859
+0.015751
+0.0168645
+0.0180012
+0.0191544
+0.0204117
+0.0217356
+0.0210581
+0.0203131
+0.0197837
+0.0194876
+0.0194355
+0.0195876
+0.0194329
+0.0177047
+0.0160598
+0.0144958
+0.0129282
+0.0114977
+0.0102388
+0.00896423
+0.00780091
+0.0070218
+0.00622425
+0.0057844
+0.00558031
+0.00551885
+0.00581118
+0.00617688
+0.00712084
+0.00798271
+0.00908578
+0.0101441
+0.0107575
+0.0115336
+0.011766
+0.0120803
+0.0124853
+0.013193
+0.0141447
+0.0152224
+0.016469
+0.0176803
+0.0190252
+0.0204627
+0.0219345
+0.0235091
+0.0251629
+0.0268477
+0.0285899
+0.0303103
+0.0320343
+0.0351975
+0.0336618
+0.032184
+0.0306567
+0.0291847
+0.0277911
+0.0263774
+0.0250441
+0.0238188
+0.0226939
+0.0215427
+0.0205612
+0.0194924
+0.0185283
+0.0176763
+0.0169312
+0.0160122
+0.0149876
+0.0135392
+0.0121451
+0.0109703
+0.0101292
+0.0096758
+0.00956951
+0.00877988
+0.00793434
+0.00720243
+0.00659624
+0.00604981
+0.00578178
+0.00594588
+0.00624122
+0.00613832
+0.00664974
+0.00724576
+0.00818106
+0.00809466
+0.00833241
+0.00895744
+0.00923836
+0.00928172
+0.0096615
+0.0099501
+0.0104636
+0.0113498
+0.0121187
+0.0125634
+0.0133119
+0.0140298
+0.0149653
+0.0161114
+0.017268
+0.0185106
+0.019725
+0.0200894
+0.0190568
+0.0182302
+0.0176384
+0.0173057
+0.0172469
+0.0174163
+0.0178504
+0.0167747
+0.015093
+0.0134432
+0.0118154
+0.0103472
+0.00906266
+0.00776902
+0.00664304
+0.00566221
+0.00484618
+0.00452969
+0.00439729
+0.00429957
+0.00454518
+0.00504206
+0.0060607
+0.00699818
+0.00809307
+0.00907883
+0.00953121
+0.0103106
+0.0107385
+0.0109951
+0.0115221
+0.0121763
+0.0131099
+0.0142158
+0.0153127
+0.0166029
+0.0180668
+0.0195025
+0.0209813
+0.022561
+0.0241928
+0.0259026
+0.0276067
+0.0293403
+0.0311008
+0.0339843
+0.0323928
+0.0308731
+0.0293431
+0.0278074
+0.0263583
+0.0250057
+0.0236744
+0.0223946
+0.0212358
+0.0200716
+0.0190142
+0.0180152
+0.01705
+0.0162256
+0.0154476
+0.0145533
+0.0135079
+0.0123597
+0.0113086
+0.0101672
+0.00928915
+0.00882142
+0.00835066
+0.00758026
+0.00676524
+0.00604625
+0.00542742
+0.00492735
+0.0045947
+0.00482995
+0.00527469
+0.00527712
+0.0057466
+0.00661877
+0.00701255
+0.00694803
+0.00721836
+0.00793924
+0.00816688
+0.00830235
+0.00871597
+0.00910068
+0.00971109
+0.010502
+0.0112935
+0.0116946
+0.0124182
+0.0133312
+0.0142854
+0.0153399
+0.0164243
+0.0176335
+0.018898
+0.0182448
+0.0171021
+0.0161758
+0.0155058
+0.0151262
+0.015059
+0.0152506
+0.0157445
+0.0157929
+0.0141476
+0.0124712
+0.0108745
+0.00936543
+0.00794273
+0.00659961
+0.00549762
+0.0043763
+0.00355264
+0.00327491
+0.00321821
+0.00312484
+0.00340471
+0.00409158
+0.00504059
+0.00590479
+0.00703135
+0.00774419
+0.00817581
+0.00903227
+0.00971192
+0.0099053
+0.0104797
+0.0111112
+0.0120544
+0.0131165
+0.0142822
+0.015669
+0.0170986
+0.0184917
+0.0199777
+0.0215367
+0.0231981
+0.0249413
+0.0266561
+0.0283798
+0.0301401
+0.0328622
+0.0312211
+0.0296466
+0.0281024
+0.026524
+0.0250173
+0.0236002
+0.0222929
+0.0210677
+0.0198706
+0.0187061
+0.0175587
+0.0165179
+0.0156241
+0.0147439
+0.0139855
+0.0130594
+0.0120893
+0.0108974
+0.00992562
+0.00917672
+0.00875348
+0.00788037
+0.00711978
+0.00643345
+0.00570079
+0.00498083
+0.00435376
+0.00394092
+0.00373701
+0.0041601
+0.00442821
+0.00439325
+0.00498438
+0.00597012
+0.00614988
+0.00615277
+0.00648544
+0.00721587
+0.00717481
+0.00711193
+0.007597
+0.00817352
+0.00876558
+0.00964641
+0.0104696
+0.010859
+0.0115921
+0.0125705
+0.0135201
+0.014572
+0.015672
+0.0169349
+0.0178759
+0.0164592
+0.0152117
+0.0141623
+0.013392
+0.0129506
+0.012872
+0.0130931
+0.0136653
+0.0145481
+0.0131517
+0.0115556
+0.0099303
+0.00839773
+0.00684482
+0.00548259
+0.00438792
+0.00327949
+0.00250041
+0.00205979
+0.00200249
+0.00190867
+0.00233593
+0.00314066
+0.0038787
+0.0048792
+0.00597161
+0.0063607
+0.00692597
+0.00787182
+0.00858647
+0.00885834
+0.00943016
+0.0100626
+0.0110871
+0.0121822
+0.0133466
+0.0145872
+0.0158794
+0.0172711
+0.0188096
+0.0204425
+0.0221237
+0.0237943
+0.0254948
+0.027264
+0.029067
+0.0318241
+0.0301541
+0.0285267
+0.0269687
+0.0253347
+0.0237744
+0.0223087
+0.0209375
+0.0196941
+0.0185288
+0.0172162
+0.0160869
+0.0150334
+0.014147
+0.0133041
+0.012496
+0.0116968
+0.0107577
+0.00949104
+0.00856554
+0.00785124
+0.00749031
+0.00651321
+0.00589681
+0.00520575
+0.00458338
+0.0037444
+0.00331126
+0.00299717
+0.00298736
+0.00364169
+0.00350264
+0.003601
+0.00441031
+0.00537308
+0.00572618
+0.00565724
+0.00607886
+0.0061393
+0.00604365
+0.00613424
+0.00650915
+0.00714314
+0.00777011
+0.00868746
+0.00956097
+0.010177
+0.0109188
+0.0118752
+0.0128282
+0.0139235
+0.0150537
+0.0163133
+0.0163442
+0.0147815
+0.0133959
+0.0122101
+0.0113075
+0.0107811
+0.0106849
+0.0109489
+0.011627
+0.0126529
+0.0123303
+0.0105836
+0.00889037
+0.00739072
+0.00584022
+0.00438255
+0.00314724
+0.00217077
+0.0013664
+0.000872332
+0.00068487
+0.000725421
+0.00117388
+0.00202649
+0.00278918
+0.00391688
+0.00503159
+0.00512219
+0.00575833
+0.00673993
+0.00768543
+0.00784712
+0.00831074
+0.00903914
+0.0101672
+0.011196
+0.012202
+0.0133629
+0.0147087
+0.016198
+0.0177334
+0.0193567
+0.0209651
+0.0226402
+0.0243916
+0.0261872
+0.0280006
+0.0308589
+0.0291494
+0.0274838
+0.0258966
+0.0242851
+0.0226527
+0.0211215
+0.019702
+0.0183976
+0.0172609
+0.0158728
+0.0146453
+0.0136555
+0.0126613
+0.0119016
+0.0111226
+0.0103624
+0.00948175
+0.00818293
+0.00714225
+0.00653684
+0.00628048
+0.00524636
+0.00451314
+0.00398247
+0.00336736
+0.00260706
+0.00211089
+0.00203396
+0.00241115
+0.00288773
+0.00259946
+0.00294532
+0.00378268
+0.00487931
+0.00477754
+0.00487095
+0.00531067
+0.0049847
+0.00487517
+0.00503879
+0.00535351
+0.00604783
+0.00678374
+0.00763701
+0.00853572
+0.0092902
+0.0100305
+0.0109755
+0.0120522
+0.013222
+0.01445
+0.015508
+0.0149752
+0.0132542
+0.011689
+0.0103517
+0.0092721
+0.00862232
+0.00849782
+0.00882747
+0.00965577
+0.0108639
+0.0116815
+0.00981124
+0.00806875
+0.0064089
+0.00485857
+0.00334336
+0.00198913
+0.000920661
+0.00024921
+-0.000246147
+-0.000427955
+-0.000498127
+9.66055e-05
+0.00100483
+0.0018479
+0.00290892
+0.00409211
+0.00433443
+0.00493154
+0.00598662
+0.00666135
+0.00674328
+0.00730869
+0.008207
+0.00937518
+0.0100766
+0.0110385
+0.0121764
+0.0134982
+0.0149552
+0.0165693
+0.0181403
+0.019806
+0.0214995
+0.0232657
+0.0250983
+0.0269313
+0.0300063
+0.0282619
+0.0265589
+0.0249128
+0.0233523
+0.0216948
+0.0200907
+0.0186067
+0.0172576
+0.0160538
+0.0147068
+0.0133943
+0.0123043
+0.0112554
+0.0104603
+0.00974405
+0.00900614
+0.00811752
+0.00688497
+0.00586324
+0.00531158
+0.00506965
+0.00410601
+0.00324589
+0.00273683
+0.00214385
+0.00169511
+0.000917057
+0.00112576
+0.0022634
+0.00182113
+0.00157737
+0.00206573
+0.00320718
+0.0041583
+0.00394391
+0.00418077
+0.00435577
+0.00393069
+0.00382679
+0.00402314
+0.00439576
+0.00505809
+0.00591998
+0.00674838
+0.00757266
+0.00823885
+0.00897379
+0.0100401
+0.0111883
+0.0123885
+0.0136375
+0.0146754
+0.0137944
+0.0119259
+0.0101693
+0.00860058
+0.00732679
+0.00648494
+0.00631327
+0.00675045
+0.00780245
+0.009209
+0.0108701
+0.00928673
+0.00749492
+0.0057069
+0.00413334
+0.00251317
+0.000989632
+-0.00016494
+-0.000898185
+-0.000413791
+-8.34235e-06
+-0.000345164
+-0.000794962
+-0.000157151
+0.000842789
+0.0019642
+0.00313176
+0.00366803
+0.00453215
+0.00568141
+0.00562878
+0.00579715
+0.00643527
+0.0074646
+0.00824986
+0.00890684
+0.0097858
+0.0109032
+0.0122609
+0.0137723
+0.0153527
+0.0169315
+0.0186157
+0.0203689
+0.0221743
+0.0240439
+0.0259637
+0.0292063
+0.0274836
+0.0257674
+0.024082
+0.0224683
+0.0208892
+0.0192464
+0.0177011
+0.0162941
+0.0150558
+0.0137469
+0.0123766
+0.0111902
+0.0100719
+0.00923513
+0.00836818
+0.00777562
+0.00681449
+0.00545509
+0.00460848
+0.00425818
+0.00383895
+0.00286677
+0.00197572
+0.00150765
+0.00103154
+0.000805674
+0.000829939
+0.00173845
+0.00260926
+0.00109269
+0.000634481
+0.00141378
+0.00277299
+0.00307505
+0.00305222
+0.00369568
+0.00342229
+0.00299074
+0.00281129
+0.0030437
+0.0035434
+0.00419125
+0.00509825
+0.00580155
+0.00648179
+0.00719666
+0.00805777
+0.00914292
+0.0103596
+0.0117969
+0.0129873
+0.0127815
+0.01248
+0.0108082
+0.00891036
+0.00709574
+0.00552304
+0.00440032
+0.00413522
+0.00477612
+0.00611798
+0.00781734
+0.00968615
+0.00898816
+0.00710581
+0.00528989
+0.00351967
+0.00179375
+0.000245746
+-0.000913323
+2.00273e-05
+0.000791159
+0.00108039
+0.00079541
+0.000339215
+-0.000464043
+-8.23223e-05
+0.00109774
+0.0024333
+0.00273993
+0.0036788
+0.00470452
+0.00459001
+0.00485576
+0.00545112
+0.00665863
+0.00706165
+0.00762715
+0.00854131
+0.00967155
+0.0110128
+0.0124543
+0.0140511
+0.0157431
+0.0174774
+0.0193047
+0.021201
+0.0231493
+0.0251375
+0.0280599
+0.0266802
+0.025054
+0.0233875
+0.0217314
+0.0201664
+0.0185779
+0.0169821
+0.0155097
+0.0142235
+0.0130776
+0.0116322
+0.010357
+0.00912608
+0.00808501
+0.00716671
+0.00640952
+0.00556611
+0.00432284
+0.00334391
+0.00330547
+0.00262493
+0.00156447
+0.000632121
+0.000313217
+0.000343708
+0.00138845
+0.00230462
+0.00333224
+0.00342019
+0.0021744
+0.000911712
+0.00129112
+0.00269566
+0.00205678
+0.00230529
+0.00295933
+0.00248543
+0.0021154
+0.00190256
+0.00225428
+0.00281127
+0.00345063
+0.00415769
+0.00468896
+0.00535975
+0.00621103
+0.00731745
+0.00842634
+0.00973566
+0.0111643
+0.0116767
+0.010937
+0.010497
+0.00988442
+0.00786137
+0.00591649
+0.00404846
+0.00249077
+0.00197967
+0.00303133
+0.00479138
+0.00678288
+0.00878212
+0.00895216
+0.00704965
+0.0052607
+0.00352693
+0.00180694
+0.000480078
+0.000190886
+0.000912738
+0.00163779
+0.00215244
+0.00193549
+0.00145268
+0.000598227
+-0.000541081
+0.000496432
+0.00177401
+0.0019336
+0.00285329
+0.00382729
+0.00358798
+0.00377066
+0.00440129
+0.00548357
+0.00578207
+0.00619139
+0.00707826
+0.00831639
+0.00963536
+0.0111967
+0.0128701
+0.0146705
+0.0165178
+0.0184405
+0.0204083
+0.0224067
+0.0244086
+0.0266906
+0.0254457
+0.0242759
+0.0227008
+0.0211691
+0.0195881
+0.0180526
+0.0164895
+0.0149995
+0.0136654
+0.0125737
+0.0111955
+0.00986261
+0.00846802
+0.00721931
+0.00608088
+0.00525567
+0.00408347
+0.0030059
+0.00225184
+0.00230112
+0.00144702
+0.000418369
+-0.000404614
+0.000178969
+0.00184308
+0.0028969
+0.00417057
+0.00510609
+0.00495267
+0.00335323
+0.00181154
+0.0014963
+0.00191682
+0.00134325
+0.00151138
+0.00218722
+0.00154604
+0.00119976
+0.00125451
+0.00165672
+0.00232533
+0.00295445
+0.00340597
+0.00388108
+0.0045868
+0.00557197
+0.00667886
+0.00784326
+0.00914767
+0.0106702
+0.0101331
+0.00914611
+0.00861519
+0.00853057
+0.00718612
+0.00504992
+0.00296607
+0.00104377
+-3.55548e-06
+0.00189793
+0.00388551
+0.00589378
+0.00751638
+0.00889109
+0.0076334
+0.00600973
+0.00454536
+0.00320239
+0.00245133
+0.00227146
+0.00240896
+0.0026482
+0.00296221
+0.00283616
+0.0024551
+0.00145641
+0.000158216
+-9.19447e-05
+0.000819925
+0.000981416
+0.00208087
+0.00286804
+0.00250667
+0.00263952
+0.00302447
+0.00412002
+0.00462397
+0.00481989
+0.0057212
+0.00697067
+0.00841056
+0.0100702
+0.011903
+0.0138093
+0.015731
+0.0177153
+0.0197432
+0.0218027
+0.0238525
+0.0254364
+0.0241269
+0.0229521
+0.0218192
+0.0205389
+0.0191215
+0.0176789
+0.0162238
+0.0147603
+0.0134452
+0.0123341
+0.0111776
+0.00968461
+0.00822177
+0.00682739
+0.00544031
+0.00382726
+0.00236316
+0.00141253
+0.00104987
+0.00137058
+0.00038201
+-0.000498588
+0.000275957
+0.0019191
+0.00326457
+0.00475992
+0.00592378
+0.0070169
+0.00594475
+0.0039825
+0.00232253
+0.00149044
+0.00098326
+0.000454895
+0.000975678
+0.00141549
+0.000750476
+0.000649326
+0.000814664
+0.00142501
+0.0021586
+0.00280567
+0.00327377
+0.00376419
+0.00443956
+0.00541908
+0.00650258
+0.00767002
+0.00900796
+0.00963886
+0.00862635
+0.00756863
+0.00691767
+0.00648345
+0.00549363
+0.00423384
+0.00244605
+0.000277637
+-0.000834774
+0.00103045
+0.00296404
+0.00446766
+0.0058581
+0.00754985
+0.00866595
+0.00730793
+0.00612383
+0.00515441
+0.00458051
+0.00443202
+0.00439673
+0.00441641
+0.0042786
+0.00387851
+0.00310687
+0.00155206
+-0.00018068
+-0.000786498
+-0.000185752
+5.16478e-05
+0.00146834
+0.002066
+0.00150938
+0.00145091
+0.00183022
+0.00307734
+0.00376931
+0.00373367
+0.00453102
+0.0058178
+0.00742969
+0.0092491
+0.0111799
+0.0131216
+0.0151315
+0.0171856
+0.0192699
+0.0212639
+0.0232913
+0.0243154
+0.0229419
+0.021703
+0.0205876
+0.0195374
+0.0186276
+0.0173028
+0.016131
+0.014768
+0.0134799
+0.0124255
+0.0114441
+0.00996394
+0.00845574
+0.00668237
+0.00462662
+0.00267604
+0.00100336
+-0.000103388
+0.000139626
+0.000252866
+-0.000594212
+0.000518293
+0.00204031
+0.00336819
+0.00493336
+0.00636048
+0.00770103
+0.00868769
+0.00661994
+0.00450033
+0.00245584
+0.000899876
+-0.000196062
+-0.00057153
+0.000712456
+0.000495711
+0.000191558
+0.00105316
+0.00185852
+0.00227518
+0.00281289
+0.00348457
+0.00389683
+0.00438531
+0.00502609
+0.00590239
+0.0069152
+0.00800504
+0.00930761
+0.00843927
+0.0072258
+0.00606907
+0.00539928
+0.00456981
+0.00396536
+0.0024473
+0.00149993
+-8.20997e-05
+-0.00109984
+-6.10002e-05
+0.00144275
+0.00276632
+0.00456438
+0.0056752
+0.00698401
+0.00850574
+0.00796311
+0.00722007
+0.00674796
+0.00659001
+0.0065137
+0.00639263
+0.00602898
+0.00516658
+0.00335022
+0.00131762
+-0.000788655
+-0.0013395
+-0.000984346
+-0.000638478
+0.000850986
+0.00142464
+0.00103207
+0.00127381
+0.00187494
+0.00304802
+0.00348079
+0.00304569
+0.00367559
+0.00509843
+0.00686592
+0.00882118
+0.0107529
+0.0127598
+0.0147699
+0.0167349
+0.0187428
+0.0207877
+0.0228488
+0.0232776
+0.0219124
+0.0206117
+0.0194489
+0.0183967
+0.0175082
+0.0167874
+0.0158581
+0.0149459
+0.013797
+0.0127895
+0.012036
+0.0102182
+0.0081697
+0.00619922
+0.00411048
+0.0020121
+7.57157e-05
+-0.00124252
+-0.000659857
+-0.000609756
+0.000993263
+0.00223972
+0.00361101
+0.00503824
+0.0064609
+0.00800303
+0.00945774
+0.00881906
+0.00663972
+0.00447126
+0.00232939
+0.000331046
+-0.00091028
+-0.00106277
+6.44791e-05
+0.000433099
+0.00158134
+0.00247086
+0.0038128
+0.00405967
+0.00440979
+0.00500499
+0.00530754
+0.00569653
+0.00621161
+0.00696397
+0.00787972
+0.00884129
+0.00893034
+0.0075198
+0.00598554
+0.00471136
+0.00372786
+0.00259369
+0.00189615
+0.0015449
+-0.000213486
+-0.0008708
+-0.00190929
+-0.00139487
+-0.000217004
+0.00181803
+0.00282379
+0.0039356
+0.00541733
+0.00696262
+0.00855694
+0.00929315
+0.00892608
+0.00875496
+0.00862034
+0.00842093
+0.00784339
+0.00575589
+0.00365821
+0.00157588
+-0.000460083
+-0.00202294
+-0.00187172
+-0.00108722
+0.000564545
+0.00110947
+0.00164038
+0.00255551
+0.00335565
+0.00413181
+0.00388467
+0.00322861
+0.00373197
+0.00506186
+0.00670912
+0.00853202
+0.0104432
+0.0124181
+0.0143625
+0.0163511
+0.0183837
+0.020439
+0.0225167
+0.0223123
+0.0208961
+0.0196228
+0.0184585
+0.0173741
+0.0164682
+0.0157143
+0.0151821
+0.0148876
+0.014242
+0.013484
+0.0114724
+0.00942079
+0.00744878
+0.00538998
+0.00331982
+0.00132004
+-0.000620006
+-0.00168582
+-0.000487639
+0.00115544
+0.00242042
+0.00403833
+0.00527346
+0.00670442
+0.00810413
+0.00955611
+0.0110885
+0.00902766
+0.00688726
+0.00479251
+0.00263623
+0.000528385
+-0.00109368
+-0.000633747
+0.000521239
+0.00189045
+0.0033957
+0.00436781
+0.00546617
+0.00608962
+0.00635768
+0.00686621
+0.00710093
+0.00739835
+0.00783653
+0.00844536
+0.00921506
+0.00949864
+0.00770285
+0.00614444
+0.00468176
+0.00327769
+0.00212297
+0.00087882
+-6.27272e-07
+-0.000177113
+-0.000639862
+-0.00217213
+-0.00341076
+-0.00251497
+-0.00096493
+0.000191071
+0.000975086
+0.00235446
+0.0038897
+0.00549931
+0.00737454
+0.00918144
+0.0109661
+0.0109302
+0.0107522
+0.0104864
+0.00839944
+0.00629098
+0.00421115
+0.0021729
+0.000240125
+-0.00158039
+-0.00263772
+-0.00178961
+7.61417e-05
+0.0012748
+0.00239662
+0.00405402
+0.00524668
+0.005859
+0.00490873
+0.00411669
+0.00424959
+0.00519881
+0.00665469
+0.00837686
+0.0102054
+0.0121235
+0.0140764
+0.0160906
+0.0181349
+0.0201956
+0.0222663
+0.0212702
+0.0199367
+0.0186973
+0.0175017
+0.0164377
+0.0155439
+0.0148221
+0.0143017
+0.0139946
+0.014021
+0.0128933
+0.0107999
+0.00870683
+0.0066621
+0.00462944
+0.00265298
+0.000741879
+-0.00113297
+-0.000411095
+0.0011627
+0.00259304
+0.00412882
+0.00551738
+0.00710619
+0.00835096
+0.00979791
+0.0111874
+0.0110917
+0.00895296
+0.00677741
+0.0045894
+0.00240184
+0.000217995
+-0.00133956
+0.000244188
+0.00192476
+0.00342624
+0.00496945
+0.00635624
+0.0072818
+0.00820182
+0.00841714
+0.00883323
+0.00904636
+0.00930357
+0.00966682
+0.0101857
+0.0100967
+0.00816915
+0.00641152
+0.00497363
+0.00345562
+0.00196973
+0.000682607
+-0.000519741
+-0.00167799
+-0.00213621
+-0.00246148
+-0.00366
+-0.00504934
+-0.00402269
+-0.00264934
+-0.00183849
+-0.000648666
+0.000862966
+0.00248036
+0.00443018
+0.00626447
+0.00808555
+0.00977799
+0.0107297
+0.011737
+0.0110742
+0.00903527
+0.00701089
+0.00501631
+0.00305917
+0.00117093
+-0.000695702
+-0.00207391
+-0.00204918
+-8.99404e-05
+0.0019538
+0.00392858
+0.00522781
+0.00695441
+0.00698915
+0.0056803
+0.00479264
+0.00465092
+0.00531525
+0.00661491
+0.00825488
+0.0100471
+0.0119133
+0.0138592
+0.0158691
+0.0179121
+0.0198499
+0.0218137
+0.0202019
+0.0188349
+0.0176023
+0.0164922
+0.0155746
+0.0147934
+0.0141034
+0.0136373
+0.0133473
+0.0133751
+0.012492
+0.010338
+0.00818945
+0.00606995
+0.00398297
+0.00199655
+0.000238807
+-0.000533627
+0.000927317
+0.00260825
+0.00418722
+0.00567879
+0.00717435
+0.00861499
+0.0101261
+0.0114386
+0.0128925
+0.0107597
+0.00858032
+0.00640613
+0.00424887
+0.00212273
+3.62437e-05
+-0.00116583
+0.000795965
+0.00286386
+0.00490941
+0.00645072
+0.00806309
+0.00923066
+0.0102759
+0.010527
+0.0108718
+0.0110778
+0.0113117
+0.0116089
+0.0111434
+0.00922525
+0.00726543
+0.00521318
+0.00334158
+0.00199395
+0.000603852
+-0.00062122
+-0.00195601
+-0.00327966
+-0.00424145
+-0.00455681
+-0.00538686
+-0.0067493
+-0.00562442
+-0.00457237
+-0.00361504
+-0.00202248
+-0.000310307
+0.00169167
+0.00358377
+0.00530426
+0.00689936
+0.00799368
+0.00889827
+0.0100797
+0.011403
+0.0098993
+0.00793161
+0.00599989
+0.00405813
+0.00211494
+0.000123146
+-0.00139709
+-0.000873128
+0.000622702
+0.0026103
+0.00471941
+0.00681782
+0.00824763
+0.00772424
+0.00643876
+0.00553359
+0.00533196
+0.00575536
+0.00683807
+0.00825514
+0.0099325
+0.0117674
+0.0136355
+0.01555
+0.0174596
+0.0194179
+0.0214059
+0.0192242
+0.0178387
+0.0165711
+0.0154874
+0.0145318
+0.0138402
+0.0133633
+0.0130783
+0.0129051
+0.0129382
+0.0123727
+0.0101898
+0.00801118
+0.00584153
+0.00369514
+0.00155805
+-0.000244904
+0.000760873
+0.002381
+0.00400035
+0.00567742
+0.0072595
+0.00877309
+0.0102514
+0.0117129
+0.013165
+0.0128156
+0.0106272
+0.00844003
+0.00625526
+0.00407684
+0.00191389
+-0.000233906
+-0.000458132
+0.00139355
+0.00341993
+0.00551079
+0.0076483
+0.00951966
+0.0111585
+0.0121629
+0.0126643
+0.0129552
+0.0131604
+0.0133704
+0.0120033
+0.0100376
+0.00814198
+0.00624821
+0.00436829
+0.00252851
+0.000389154
+-0.000821334
+-0.00235818
+-0.00342603
+-0.0047269
+-0.00617681
+-0.0067133
+-0.00733907
+-0.00840966
+-0.00741007
+-0.00659843
+-0.00492117
+-0.00298945
+-0.000863564
+0.000867057
+0.00260438
+0.00408686
+0.00537851
+0.00624133
+0.00726248
+0.00847196
+0.00990055
+0.0108799
+0.00902824
+0.0069742
+0.00496972
+0.00282732
+0.000814025
+-0.000500235
+-4.32304e-05
+0.00175551
+0.00370306
+0.00550137
+0.00748606
+0.00953474
+0.00860267
+0.00734494
+0.00622905
+0.005728
+0.00591622
+0.00684042
+0.00818655
+0.00979084
+0.0115365
+0.0134001
+0.0152155
+0.0171141
+0.0190755
+0.0208459
+0.0182913
+0.0168679
+0.0155989
+0.0144753
+0.0135741
+0.0128893
+0.0124933
+0.0123483
+0.0124627
+0.0127444
+0.0125631
+0.0104113
+0.00826004
+0.00612499
+0.00404983
+0.00211495
+0.00102908
+0.00203005
+0.00371537
+0.00543799
+0.00708416
+0.00875655
+0.0103438
+0.0118694
+0.0133382
+0.0148108
+0.0128965
+0.0107104
+0.00852503
+0.00634101
+0.00416055
+0.00199521
+-7.22491e-05
+0.000444424
+0.00221672
+0.00420251
+0.00627467
+0.00828245
+0.0103292
+0.0124119
+0.0141182
+0.0148172
+0.0150666
+0.0149516
+0.0129373
+0.0109743
+0.00911476
+0.00711369
+0.00515115
+0.00335215
+0.00135419
+-0.000185035
+-0.00186522
+-0.00376713
+-0.00502299
+-0.00622223
+-0.0074537
+-0.00888655
+-0.00936829
+-0.0102675
+-0.00880183
+-0.00694932
+-0.00524294
+-0.00349065
+-0.00167274
+0.000202164
+0.00156322
+0.0023583
+0.00392905
+0.0046938
+0.00571988
+0.007027
+0.00824792
+0.00972396
+0.00940666
+0.00724621
+0.00511115
+0.00301913
+0.00115201
+0.000170563
+0.000881193
+0.0024576
+0.00436535
+0.00639222
+0.00849814
+0.0103962
+0.00933675
+0.00790269
+0.00687917
+0.00623934
+0.00626639
+0.00695796
+0.00812975
+0.00966273
+0.011293
+0.0130495
+0.0149213
+0.01687
+0.0183272
+0.0198632
+0.0174953
+0.0160423
+0.0147275
+0.0136398
+0.0126953
+0.0120644
+0.0116859
+0.0116189
+0.0118636
+0.0123589
+0.013033
+0.0109522
+0.00892409
+0.00695645
+0.00515536
+0.00375259
+0.00313595
+0.00373241
+0.0050889
+0.00675558
+0.00851262
+0.0101764
+0.0118409
+0.0134212
+0.0149664
+0.0152021
+0.0130285
+0.0108618
+0.0087072
+0.00657457
+0.00449336
+0.00251941
+0.00108114
+0.00166553
+0.00324289
+0.00506513
+0.00701079
+0.00902866
+0.0110863
+0.013168
+0.015193
+0.0169797
+0.0163877
+0.0144039
+0.0123271
+0.0102546
+0.00821304
+0.00627297
+0.00426235
+0.00226105
+0.000280437
+-0.00131109
+-0.00322955
+-0.004843
+-0.00658264
+-0.0077755
+-0.00904554
+-0.0103445
+-0.0114571
+-0.011133
+-0.00922865
+-0.00748004
+-0.00588146
+-0.00411582
+-0.00252184
+-0.00109249
+-0.00015611
+0.00122996
+0.00230335
+0.00304849
+0.00423598
+0.00539224
+0.006784
+0.0083481
+0.00935782
+0.00722386
+0.00511155
+0.00306038
+0.00137829
+0.000615304
+0.00159019
+0.00314464
+0.00501531
+0.00704696
+0.00910094
+0.0111611
+0.00998161
+0.00857682
+0.00739619
+0.00672749
+0.00661579
+0.00720052
+0.00818537
+0.00951631
+0.0110678
+0.0127828
+0.0146254
+0.0159338
+0.0174025
+0.0190107
+0.0168106
+0.0153707
+0.0140301
+0.0128836
+0.0120063
+0.0113521
+0.011031
+0.0110393
+0.011366
+0.0120058
+0.012835
+0.0118449
+0.00996469
+0.00823599
+0.00676281
+0.00571497
+0.00530928
+0.00572541
+0.00674486
+0.00817736
+0.0098289
+0.0115888
+0.0132714
+0.0149123
+0.0164765
+0.0155515
+0.013428
+0.0113302
+0.00927551
+0.00729435
+0.00540506
+0.00383246
+0.0029461
+0.0032498
+0.00446
+0.00616588
+0.00799986
+0.0099197
+0.0118896
+0.0139002
+0.0159364
+0.0178303
+0.0157711
+0.0137525
+0.0117954
+0.00976416
+0.00762011
+0.0055128
+0.00346666
+0.00155739
+-0.000475447
+-0.00195697
+-0.00360206
+-0.00549236
+-0.00739889
+-0.00921065
+-0.0105214
+-0.0117138
+-0.0127962
+-0.0118699
+-0.0101006
+-0.00848266
+-0.0068445
+-0.00518987
+-0.00366011
+-0.0026618
+-0.00156503
+-0.000325303
+0.000718667
+0.00156742
+0.00266236
+0.00408276
+0.00542201
+0.00705473
+0.00873661
+0.00715583
+0.00502654
+0.00298744
+0.00134605
+0.00074715
+0.00209079
+0.00384951
+0.00579558
+0.00772874
+0.00969743
+0.011743
+0.0106258
+0.0092562
+0.0081743
+0.00738227
+0.0070325
+0.00730991
+0.00809452
+0.00933841
+0.0108852
+0.0123885
+0.0136179
+0.015066
+0.0166769
+0.0183686
+0.0162566
+0.0147628
+0.0134347
+0.0122865
+0.0114181
+0.0108356
+0.0105647
+0.0106392
+0.0110857
+0.0117705
+0.0127135
+0.0130152
+0.0113261
+0.00982781
+0.00863076
+0.00778547
+0.00749274
+0.00782483
+0.00860781
+0.00980858
+0.0112711
+0.0129115
+0.0146364
+0.0163676
+0.0179929
+0.0161653
+0.0141344
+0.0121527
+0.0102212
+0.00841729
+0.00683337
+0.00565269
+0.00501133
+0.00522763
+0.00612406
+0.00746598
+0.0091391
+0.0109455
+0.0128592
+0.0147937
+0.0167767
+0.0175411
+0.0154433
+0.0133753
+0.0113534
+0.00940177
+0.00752691
+0.00542587
+0.00337101
+0.00163919
+0.000434378
+-0.00127359
+-0.00327103
+-0.00538999
+-0.00738114
+-0.00944757
+-0.0104955
+-0.011142
+-0.0119667
+-0.012898
+-0.011274
+-0.00934508
+-0.00746883
+-0.00573785
+-0.00434089
+-0.00330378
+-0.00281769
+-0.00203003
+-0.00112712
+-0.000252104
+0.00112269
+0.00258827
+0.00429441
+0.00580295
+0.0075333
+0.00752606
+0.00550244
+0.00364296
+0.00222201
+0.00172227
+0.00277486
+0.0044838
+0.00643003
+0.00843759
+0.0104424
+0.0124889
+0.0111727
+0.00981693
+0.00864404
+0.00776284
+0.00739055
+0.00755846
+0.00828496
+0.00930762
+0.0104388
+0.0115396
+0.0128813
+0.0144038
+0.0160768
+0.017814
+0.0158903
+0.0143584
+0.0130134
+0.0118849
+0.0110613
+0.010521
+0.0102855
+0.0104698
+0.010935
+0.0117283
+0.0127773
+0.0139909
+0.0129086
+0.0116163
+0.0105941
+0.00990778
+0.00967945
+0.00994071
+0.0105896
+0.0116
+0.0128887
+0.0143667
+0.015993
+0.017697
+0.0190137
+0.0170334
+0.0150905
+0.0132251
+0.0114751
+0.00989414
+0.00858536
+0.00761528
+0.00715161
+0.00731662
+0.00800182
+0.00910404
+0.0105223
+0.0121637
+0.0139437
+0.0157981
+0.0177294
+0.0173804
+0.0153356
+0.01328
+0.011129
+0.00898982
+0.00687385
+0.00478601
+0.00282735
+0.00101433
+-0.000484413
+-0.00204002
+-0.00385694
+-0.00582991
+-0.0078701
+-0.00795248
+-0.00839836
+-0.00909218
+-0.0099873
+-0.0109798
+-0.0119342
+-0.0100307
+-0.00826737
+-0.00659913
+-0.00502231
+-0.00383148
+-0.00322617
+-0.00295769
+-0.00277939
+-0.00173659
+-0.000171529
+0.00130784
+0.00304257
+0.0047909
+0.0061881
+0.00785812
+0.00657045
+0.00502268
+0.00389714
+0.0035307
+0.00425083
+0.00564202
+0.00732854
+0.00919246
+0.0111756
+0.0132169
+0.0117703
+0.0103861
+0.00923824
+0.00831045
+0.00777378
+0.00772291
+0.00818754
+0.00907363
+0.00985872
+0.0110176
+0.0124272
+0.0140351
+0.0157311
+0.0175026
+0.0157921
+0.0142724
+0.0129195
+0.011793
+0.0109727
+0.0104307
+0.0103044
+0.0104889
+0.0111056
+0.0119439
+0.0130267
+0.0142999
+0.0146487
+0.0135237
+0.0126247
+0.0120546
+0.0118676
+0.0120817
+0.0126406
+0.0135
+0.0146312
+0.0159759
+0.0174632
+0.019078
+0.019974
+0.0180817
+0.0162644
+0.014549
+0.0129727
+0.0115977
+0.0104913
+0.00967589
+0.00931536
+0.00943828
+0.00997885
+0.0109304
+0.0121371
+0.013592
+0.015218
+0.0169707
+0.0187882
+0.0172051
+0.0150984
+0.0129602
+0.0107999
+0.00865484
+0.00650688
+0.00432729
+0.00215772
+5.38662e-05
+-0.0020184
+-0.00348042
+-0.00511293
+-0.00605866
+-0.00572489
+-0.00578204
+-0.00630407
+-0.00707635
+-0.00800561
+-0.0091839
+-0.010102
+-0.0102742
+-0.0091016
+-0.00733393
+-0.00572156
+-0.00442995
+-0.00378461
+-0.0035239
+-0.00298874
+-0.00274147
+-0.00120663
+0.00048568
+0.0020812
+0.00355574
+0.00494259
+0.0067313
+0.00802723
+0.00675603
+0.00588133
+0.00560816
+0.0061425
+0.00720841
+0.0086373
+0.0103029
+0.0121183
+0.0140301
+0.0125658
+0.0110772
+0.00979352
+0.00879596
+0.00816126
+0.00794882
+0.00812125
+0.0087237
+0.00962054
+0.0108906
+0.0123149
+0.0138457
+0.0155218
+0.0173133
+0.0158507
+0.0144052
+0.0130679
+0.0119845
+0.0112287
+0.0107565
+0.0106585
+0.0108369
+0.0114187
+0.01231
+0.0134767
+0.0148099
+0.0162002
+0.0154855
+0.0147014
+0.0142148
+0.0140566
+0.0142378
+0.0147318
+0.0154755
+0.0164789
+0.0176855
+0.0190665
+0.0205602
+0.0211038
+0.0193224
+0.0176313
+0.0160587
+0.0146458
+0.0134431
+0.0124618
+0.0117835
+0.0114893
+0.0115856
+0.0120301
+0.0128381
+0.0139103
+0.0151964
+0.0166722
+0.018287
+0.0188517
+0.0168686
+0.0149126
+0.0128035
+0.0107121
+0.00862656
+0.00650329
+0.00444379
+0.00243011
+0.000547101
+-0.0013028
+-0.00256827
+-0.00364555
+-0.00399792
+-0.00355353
+-0.00362875
+-0.00421936
+-0.00510119
+-0.00612216
+-0.00720594
+-0.00822967
+-0.00817885
+-0.00736896
+-0.00664532
+-0.00566189
+-0.00422566
+-0.00308163
+-0.0029123
+-0.00338193
+-0.00300819
+-0.00229039
+-0.000565215
+0.000913143
+0.00235946
+0.00408375
+0.00594946
+0.00774213
+0.00863465
+0.00794209
+0.00774197
+0.00814828
+0.0089864
+0.0102143
+0.0116852
+0.0133306
+0.014921
+0.01331
+0.0118643
+0.0104464
+0.00931524
+0.00847111
+0.00792151
+0.00786533
+0.00830444
+0.00918495
+0.0103716
+0.011823
+0.0134404
+0.0151459
+0.0169476
+0.0161584
+0.0147523
+0.013454
+0.0124044
+0.0116759
+0.0113306
+0.0112681
+0.0115092
+0.0120715
+0.0129227
+0.014049
+0.0153583
+0.0168516
+0.017497
+0.016807
+0.0163831
+0.016246
+0.016403
+0.0168459
+0.0175023
+0.0183955
+0.0194916
+0.0207528
+0.0221587
+0.0223914
+0.0207183
+0.0191486
+0.0177113
+0.0164411
+0.0153677
+0.0144956
+0.0139168
+0.0136686
+0.0137466
+0.0141233
+0.0148176
+0.0157878
+0.0169327
+0.0182688
+0.019758
+0.0181212
+0.0160779
+0.0140647
+0.0120804
+0.0101247
+0.00825564
+0.00655823
+0.00494341
+0.00321833
+0.00155326
+0.000204978
+-0.00111579
+-0.00174478
+-0.00199446
+-0.00143026
+-0.0015056
+-0.00218071
+-0.00313231
+-0.00424412
+-0.00528387
+-0.00623217
+-0.00602044
+-0.00546082
+-0.004577
+-0.00374644
+-0.00268153
+-0.0015368
+-0.0014699
+-0.00212219
+-0.00282327
+-0.00296378
+-0.00211011
+-7.53002e-05
+0.00127673
+0.00297662
+0.00477074
+0.00645791
+0.00823284
+0.0100432
+0.0098857
+0.0102072
+0.0109155
+0.011956
+0.0132608
+0.0147535
+0.015671
+0.0138807
+0.0122057
+0.0106484
+0.00934745
+0.00835068
+0.00777492
+0.00764225
+0.00803511
+0.00889703
+0.0101172
+0.0115944
+0.0132533
+0.014965
+0.0167836
+0.0167417
+0.0153829
+0.0141493
+0.0131553
+0.0124707
+0.012148
+0.0122158
+0.0124647
+0.013016
+0.0138363
+0.0149042
+0.0161443
+0.0175709
+0.0191425
+0.018932
+0.0185567
+0.0184358
+0.0185743
+0.0189665
+0.0195645
+0.0203675
+0.0213657
+0.0225261
+0.0238281
+0.0238083
+0.0222409
+0.0207865
+0.0194704
+0.0183225
+0.0173376
+0.0165695
+0.0160656
+0.0158511
+0.0159158
+0.0162422
+0.0168494
+0.0177086
+0.0187643
+0.0199783
+0.0196724
+0.017562
+0.0154741
+0.0134189
+0.0113667
+0.00931905
+0.00729807
+0.00534567
+0.00363846
+0.00195287
+0.000723153
+-6.74416e-05
+-0.000376424
+-0.000474038
+-0.000160728
+0.00049994
+0.000592506
+-0.000198854
+-0.00124378
+-0.00238625
+-0.00341243
+-0.00407411
+-0.00384516
+-0.00340538
+-0.00253454
+-0.00176162
+-0.000841542
+5.81144e-05
+-0.000161559
+-0.000977075
+-0.00205418
+-0.00244855
+-0.00249781
+-0.00130145
+0.00032629
+0.00207766
+0.00361402
+0.00542734
+0.00744276
+0.00953582
+0.0116648
+0.012311
+0.0129282
+0.013818
+0.0149778
+0.0163267
+0.0158816
+0.0140974
+0.0123923
+0.010862
+0.00951955
+0.00851364
+0.00792913
+0.0078365
+0.00826223
+0.00908024
+0.0102416
+0.0116828
+0.0132769
+0.0150184
+0.0168575
+0.0175528
+0.0162359
+0.015123
+0.0142075
+0.013576
+0.0132802
+0.0133254
+0.0136278
+0.0142174
+0.0149649
+0.0159597
+0.0171552
+0.018507
+0.0200052
+0.0210704
+0.0207338
+0.0206257
+0.0207496
+0.0211014
+0.021652
+0.0223801
+0.0232923
+0.0243674
+0.0255758
+0.0253345
+0.0238676
+0.0225185
+0.0213097
+0.0202548
+0.019355
+0.0186701
+0.0182244
+0.0180355
+0.0180901
+0.0183779
+0.0189167
+0.0196859
+0.0206598
+0.0214185
+0.0192504
+0.017088
+0.0149339
+0.0127922
+0.0106705
+0.00858342
+0.00655607
+0.00457902
+0.00268061
+0.000915044
+-0.000707848
+-0.00193484
+-0.00188425
+-0.00153385
+-0.000411486
+0.0012826
+0.00267413
+0.00171026
+0.00060584
+-0.000503916
+-0.0015458
+-0.00191676
+-0.00167951
+-0.00132968
+-0.000541087
+0.000205658
+0.00109512
+0.00143879
+0.000667097
+-9.15707e-05
+-0.00109264
+-0.00181188
+-0.00253231
+-0.00175446
+-0.000383006
+0.00137001
+0.003069
+0.00500681
+0.00700471
+0.00907361
+0.0111807
+0.0133148
+0.0149861
+0.0157647
+0.0167905
+0.0179579
+0.0160571
+0.0142397
+0.0125423
+0.0109772
+0.00962674
+0.00862835
+0.00806386
+0.00796172
+0.00838109
+0.00927034
+0.0105027
+0.0119849
+0.0136056
+0.0153007
+0.0171035
+0.0185652
+0.0173254
+0.0162871
+0.0154632
+0.0148851
+0.0145865
+0.0145795
+0.0148863
+0.0154511
+0.0162901
+0.0172254
+0.0183414
+0.0196345
+0.0210596
+0.0226009
+0.0229136
+0.0228158
+0.0229278
+0.0232467
+0.023758
+0.0244235
+0.025262
+0.0262569
+0.0273873
+0.0269526
+0.0255786
+0.0243246
+0.02321
+0.0222234
+0.0214065
+0.0207893
+0.0203899
+0.0202213
+0.020268
+0.0205253
+0.0210091
+0.0217042
+0.0225912
+0.0212343
+0.0190489
+0.0168648
+0.0146828
+0.0125038
+0.0103297
+0.0081645
+0.00601758
+0.00390693
+0.00189081
+4.29963e-05
+-0.0016734
+-0.00321649
+-0.00344322
+-0.00328713
+-0.00134886
+0.000752248
+0.00290409
+0.0036308
+0.00243194
+0.00135428
+0.000508472
+0.000210054
+0.000452402
+0.000765657
+0.00141692
+0.00229358
+0.00309752
+0.00265047
+0.00178076
+0.000958943
+-1.77449e-05
+-0.000943755
+-0.00174251
+-0.00180179
+-0.000492414
+0.0010072
+0.00277026
+0.00456177
+0.00654326
+0.00862068
+0.0107432
+0.0128885
+0.015047
+0.0172135
+0.0186845
+0.0181982
+0.016319
+0.0145016
+0.0128016
+0.0112723
+0.00997012
+0.00900962
+0.00851713
+0.00848598
+0.00896147
+0.00982284
+0.011011
+0.0124737
+0.0140746
+0.0157727
+0.017557
+0.0197694
+0.01861
+0.017642
+0.0168552
+0.0163266
+0.0160425
+0.0160362
+0.0163264
+0.0168482
+0.0176237
+0.0186259
+0.0197002
+0.0209097
+0.0222693
+0.0237423
+0.0250952
+0.025006
+0.0251082
+0.0253998
+0.0258741
+0.0264904
+0.0272654
+0.0281897
+0.0292492
+0.0286468
+0.0273581
+0.0261894
+0.0251463
+0.0242301
+0.0234831
+0.0229219
+0.0225603
+0.0224081
+0.0224483
+0.0226809
+0.0231196
+0.0237531
+0.0234542
+0.0212713
+0.0190901
+0.0169114
+0.0147286
+0.0125408
+0.0103542
+0.00816983
+0.00599001
+0.00382264
+0.00171529
+-8.67098e-05
+-0.00186039
+-0.00384466
+-0.00490636
+-0.00304473
+-0.000996729
+0.00108106
+0.00320476
+0.005333
+0.00431364
+0.00323541
+0.00259702
+0.0023172
+0.00251349
+0.00282804
+0.00342904
+0.00429552
+0.00481989
+0.00381144
+0.00281174
+0.00215388
+0.00102923
+7.15867e-05
+-0.000886021
+-0.000792504
+-0.000411104
+0.000933448
+0.00243191
+0.00432125
+0.00637791
+0.00849586
+0.0106433
+0.0128054
+0.0149758
+0.0171514
+0.0193303
+0.0185645
+0.0167041
+0.0149336
+0.013289
+0.0118198
+0.0105773
+0.00967729
+0.00922053
+0.00918276
+0.00964544
+0.010531
+0.0117211
+0.0131542
+0.0147704
+0.0164129
+0.0181517
+0.0211327
+0.0200523
+0.0191266
+0.0184035
+0.0179205
+0.017651
+0.0176452
+0.0179094
+0.0184007
+0.0191133
+0.0200412
+0.021156
+0.0223275
+0.0236056
+0.0250106
+0.0265157
+0.0271962
+0.0272903
+0.0275588
+0.0279966
+0.0285757
+0.0292956
+0.0301578
+0.0311504
+0.0304046
+0.0291936
+0.0281014
+0.0271138
+0.0262663
+0.0255788
+0.0250646
+0.0247343
+0.0245955
+0.0246305
+0.0248427
+0.0252439
+0.0253573
+0.0236436
+0.0214701
+0.0193005
+0.0171363
+0.0149798
+0.0128349
+0.0107085
+0.0086144
+0.00658346
+0.00468858
+0.00282575
+0.000637527
+-0.00153796
+-0.00329501
+-0.00363117
+-0.00206054
+-0.000155263
+0.00181475
+0.00385941
+0.00593775
+0.00619132
+0.00521907
+0.00468295
+0.00440778
+0.00451075
+0.00486685
+0.00549709
+0.00623333
+0.006242
+0.00520754
+0.00416517
+0.00337635
+0.00239104
+0.00136284
+7.33753e-05
+8.99017e-05
+0.000511122
+0.00206213
+0.00335193
+0.0049435
+0.00682786
+0.00885226
+0.0109409
+0.013063
+0.0152046
+0.0173573
+0.0195152
+0.019156
+0.0173592
+0.0156534
+0.0140714
+0.012672
+0.0115218
+0.0107014
+0.0102899
+0.0102469
+0.0106635
+0.0114685
+0.0125609
+0.0139078
+0.0154473
+0.0171154
+0.0188904
+0.0226264
+0.0216045
+0.0207368
+0.0200717
+0.0196252
+0.0193739
+0.0193686
+0.0196096
+0.0200726
+0.0207278
+0.0215864
+0.0226252
+0.0238202
+0.0250624
+0.0263899
+0.0278268
+0.0293542
+0.0294736
+0.0297224
+0.0301288
+0.0306757
+0.0313474
+0.0321547
+0.0330875
+0.0322155
+0.0310751
+0.0300402
+0.0291131
+0.0283255
+0.0276892
+0.0272148
+0.026911
+0.0267835
+0.0268141
+0.0268294
+0.0252177
+0.023699
+0.0222925
+0.0209816
+0.0197375
+0.0176271
+0.0155388
+0.0134831
+0.0114775
+0.00955342
+0.00749205
+0.00537282
+0.00333458
+0.00142379
+-0.000466822
+-0.00199165
+-0.00208115
+-0.00082343
+0.000889379
+0.00278323
+0.0047358
+0.00674325
+0.00807663
+0.00724979
+0.0067859
+0.00649072
+0.00656569
+0.00693805
+0.00744698
+0.0081542
+0.0077078
+0.00667661
+0.00568202
+0.00493367
+0.00396177
+0.00263807
+0.00147647
+0.00109718
+0.00138702
+0.00271737
+0.00439931
+0.00615758
+0.00775864
+0.00959559
+0.0115565
+0.0135872
+0.0156596
+0.0177605
+0.0198807
+0.0199477
+0.0182129
+0.0165857
+0.0151017
+0.013807
+0.0127595
+0.0120196
+0.0115927
+0.0115543
+0.0119254
+0.0126381
+0.0136592
+0.0149142
+0.0163609
+0.017959
+0.0196699
+0.0242255
+0.0232495
+0.0224455
+0.0218325
+0.0214136
+0.0211834
+0.0211786
+0.0213992
+0.0218361
+0.0224402
+0.0232356
+0.0242037
+0.0253248
+0.0265759
+0.0278734
+0.0292374
+0.0306974
+0.031658
+0.0318897
+0.0322688
+0.0327876
+0.0334169
+0.0341753
+0.0350544
+0.034071
+0.0329948
+0.0320066
+0.0311382
+0.0304031
+0.0298112
+0.0293711
+0.0290898
+0.0288595
+0.0271725
+0.025443
+0.0237524
+0.0221335
+0.0206205
+0.0192335
+0.0179609
+0.0168701
+0.015981
+0.0143974
+0.0122981
+0.0102368
+0.00820281
+0.00608473
+0.00404469
+0.00217962
+0.000475511
+-0.000418501
+-0.000532747
+0.00057819
+0.00209623
+0.00380304
+0.0057759
+0.00765544
+0.00966688
+0.00930829
+0.0088428
+0.00856541
+0.00861934
+0.00891431
+0.00926428
+0.00995544
+0.00929732
+0.00828685
+0.00737777
+0.00636115
+0.00520002
+0.00411092
+0.00321682
+0.00254597
+0.00292035
+0.00399319
+0.00551106
+0.00722049
+0.00907594
+0.0107247
+0.0125098
+0.0144073
+0.0163781
+0.0183988
+0.020454
+0.0209047
+0.0192558
+0.0177246
+0.0163444
+0.0151463
+0.0141798
+0.0135025
+0.013122
+0.0130881
+0.0134168
+0.0140541
+0.014979
+0.0161499
+0.017501
+0.0190035
+0.0206294
+0.0258894
+0.0249784
+0.0242318
+0.0236652
+0.0232708
+0.0230592
+0.0230547
+0.0232576
+0.0236624
+0.0242297
+0.0249682
+0.0258716
+0.0269233
+0.0281068
+0.0293998
+0.0307396
+0.0321313
+0.0336023
+0.03406
+0.0344152
+0.0349045
+0.0355009
+0.0362157
+0.0370464
+0.0359643
+0.0349353
+0.0340006
+0.0331843
+0.0324955
+0.0319424
+0.0311379
+0.029304
+0.0275223
+0.0257802
+0.0240862
+0.0223823
+0.0206818
+0.0190539
+0.0175488
+0.0161831
+0.0149719
+0.0139797
+0.0132357
+0.0125752
+0.0107082
+0.00865694
+0.00668366
+0.00485444
+0.00316447
+0.00188493
+0.0011227
+0.00110973
+0.00201503
+0.00339804
+0.00497995
+0.00675746
+0.00863639
+0.0106193
+0.0113333
+0.0108218
+0.010592
+0.0106598
+0.0108779
+0.0111798
+0.0117066
+0.0109909
+0.00996704
+0.00883336
+0.00787585
+0.00672559
+0.00573605
+0.00495641
+0.00442115
+0.00473122
+0.00564693
+0.00692173
+0.00846549
+0.010158
+0.0119278
+0.013749
+0.0154955
+0.0173431
+0.0192628
+0.021235
+0.0220197
+0.0204608
+0.0190268
+0.0177411
+0.0166374
+0.0157626
+0.0151563
+0.0148181
+0.0147881
+0.0150798
+0.0156497
+0.0164853
+0.017556
+0.0188219
+0.020232
+0.0217664
+0.0276268
+0.026775
+0.0260799
+0.0255543
+0.0251816
+0.0249862
+0.0249822
+0.0251695
+0.025544
+0.0260806
+0.026768
+0.0276126
+0.0286004
+0.0297171
+0.0309489
+0.0322741
+0.0336469
+0.0350548
+0.0362328
+0.0365669
+0.0370278
+0.0375971
+0.0382727
+0.0389538
+0.0378893
+0.036901
+0.0360173
+0.0352479
+0.0339509
+0.0319785
+0.0300363
+0.0281306
+0.0262695
+0.0244629
+0.0227049
+0.0210032
+0.0193335
+0.01762
+0.0159814
+0.0144884
+0.0131549
+0.0120311
+0.011179
+0.010672
+0.0104739
+0.00897209
+0.0073258
+0.00577488
+0.00434106
+0.00330955
+0.00258367
+0.00267438
+0.00343756
+0.00481503
+0.0063438
+0.00793238
+0.00970087
+0.0115818
+0.0132074
+0.0128434
+0.0126216
+0.0125491
+0.0126843
+0.0129466
+0.0133971
+0.0127693
+0.011559
+0.0104417
+0.00946569
+0.00837816
+0.00745543
+0.00671952
+0.00642873
+0.00665427
+0.00750876
+0.00856408
+0.00994784
+0.011445
+0.013119
+0.0148752
+0.0166993
+0.0185182
+0.0203272
+0.0222051
+0.0232878
+0.0218197
+0.0204764
+0.0192806
+0.0182701
+0.0174772
+0.0169321
+0.016621
+0.0165943
+0.0168547
+0.0173754
+0.0181316
+0.0191104
+0.0202794
+0.0216079
+0.023056
+0.0294248
+0.0286266
+0.0279775
+0.0274882
+0.0271348
+0.0269536
+0.0269498
+0.0271235
+0.0274714
+0.0279805
+0.0286224
+0.0294138
+0.030343
+0.0313978
+0.032566
+0.0338359
+0.0351864
+0.036581
+0.0379987
+0.0387229
+0.0391585
+0.0397035
+0.0403438
+0.0408557
+0.0398313
+0.0388908
+0.0371647
+0.0351111
+0.033075
+0.0310598
+0.0290583
+0.0270839
+0.0251454
+0.0232517
+0.0214147
+0.0196368
+0.0179228
+0.0162848
+0.0145672
+0.0129212
+0.0114483
+0.0101691
+0.00917542
+0.00855925
+0.00834492
+0.00861142
+0.00765657
+0.00641748
+0.00541147
+0.00474274
+0.00408301
+0.00410794
+0.00486638
+0.00610056
+0.00767908
+0.00904384
+0.0100462
+0.0113051
+0.0128129
+0.0144695
+0.0145301
+0.0143932
+0.0145174
+0.0147976
+0.0151116
+0.0142241
+0.0130405
+0.0120894
+0.0110591
+0.0100767
+0.00922204
+0.00863841
+0.00850975
+0.00869506
+0.0093604
+0.0103304
+0.0115754
+0.0129651
+0.0144744
+0.0161315
+0.0178736
+0.0196636
+0.0215279
+0.023341
+0.0246856
+0.0233026
+0.0220425
+0.0209363
+0.0200097
+0.0192884
+0.0187889
+0.0185077
+0.0184838
+0.0187179
+0.0191962
+0.0198833
+0.0207797
+0.0218597
+0.0230975
+0.0244691
+0.0312729
+0.0305231
+0.0299152
+0.0294531
+0.0291219
+0.0289531
+0.0289495
+0.0291113
+0.0294357
+0.0299174
+0.0305214
+0.0312647
+0.0321405
+0.0331381
+0.034247
+0.0354568
+0.0367573
+0.0381279
+0.0395326
+0.0408826
+0.0412954
+0.0418185
+0.0424269
+0.0427845
+0.040704
+0.03859
+0.0364851
+0.0343909
+0.0323095
+0.0302436
+0.0281964
+0.0261726
+0.0241681
+0.0221912
+0.0202582
+0.0183832
+0.0165798
+0.0148362
+0.0131976
+0.0115332
+0.00988456
+0.00843225
+0.00725005
+0.00647975
+0.00625411
+0.00660702
+0.00655113
+0.00632144
+0.00575555
+0.00556099
+0.00537631
+0.00552044
+0.00599897
+0.00586343
+0.00626079
+0.00705095
+0.00822769
+0.0097192
+0.0113921
+0.0131969
+0.0151
+0.0162629
+0.0160386
+0.0148221
+0.0137769
+0.0130102
+0.0125667
+0.0124382
+0.0126576
+0.011854
+0.0111403
+0.0106613
+0.0105805
+0.0107948
+0.0113225
+0.0121505
+0.0132746
+0.0145946
+0.0160097
+0.0175279
+0.0191714
+0.0209011
+0.0226638
+0.0244957
+0.0261904
+0.0248837
+0.0237078
+0.022683
+0.0218306
+0.0211715
+0.0207099
+0.0204552
+0.0204335
+0.0206455
+0.0210843
+0.0217149
+0.0225385
+0.0235379
+0.0246917
+0.0259793
+0.0331628
+0.0324566
+0.0318856
+0.0314462
+0.0311362
+0.0309784
+0.0309751
+0.0311264
+0.03143
+0.0318815
+0.0324571
+0.0331571
+0.0339841
+0.0349292
+0.0359829
+0.0371361
+0.0383799
+0.0397056
+0.0410925
+0.0425051
+0.0434377
+0.0439358
+0.0445018
+0.0423508
+0.040204
+0.0380623
+0.0359265
+0.0337977
+0.0316773
+0.0295672
+0.0274697
+0.025388
+0.0233262
+0.0212902
+0.0192821
+0.0173016
+0.0153783
+0.0135364
+0.0117557
+0.0101172
+0.00854147
+0.0069028
+0.0054593
+0.0044864
+0.00420097
+0.00466669
+0.0043986
+0.00418819
+0.00448249
+0.00457403
+0.00390225
+0.00416006
+0.00399295
+0.00376903
+0.00416023
+0.00517413
+0.00662763
+0.00833004
+0.0102064
+0.0121166
+0.0140917
+0.0161001
+0.0150838
+0.013763
+0.0126197
+0.0117604
+0.0112599
+0.0111162
+0.0113962
+0.011837
+0.0125804
+0.0125684
+0.0126695
+0.0129247
+0.0133558
+0.0140752
+0.0150576
+0.0162682
+0.0176225
+0.0190605
+0.0205947
+0.0222273
+0.0239467
+0.0256872
+0.0273634
+0.0265516
+0.0254529
+0.0245011
+0.0237142
+0.0231088
+0.0226798
+0.0224475
+0.0224277
+0.0226211
+0.0230222
+0.0236077
+0.0243674
+0.0252947
+0.0263717
+0.027581
+0.0350877
+0.034421
+0.0338832
+0.0334641
+0.0331729
+0.0330249
+0.0330218
+0.0331637
+0.0334488
+0.0338735
+0.0344235
+0.0350842
+0.0358669
+0.0367635
+0.0377661
+0.0388665
+0.0400565
+0.0413285
+0.0426745
+0.0440755
+0.0454943
+0.0460595
+0.0441537
+0.0419849
+0.0398184
+0.0376548
+0.0354944
+0.0333381
+0.0311865
+0.0290407
+0.0269022
+0.0247728
+0.0226552
+0.0205528
+0.0184709
+0.0164175
+0.0144027
+0.0124192
+0.0105156
+0.0086876
+0.00702482
+0.00545012
+0.00400723
+0.00274348
+0.00229171
+0.00303902
+0.00228847
+0.00207528
+0.0025992
+0.0027585
+0.00174571
+0.00221704
+0.0021264
+0.0016813
+0.00215686
+0.00353614
+0.00531002
+0.00721932
+0.00919562
+0.0112245
+0.0133048
+0.015402
+0.0143521
+0.0129515
+0.0117297
+0.0108044
+0.0102574
+0.0100995
+0.010364
+0.0109221
+0.0116031
+0.0113564
+0.0115283
+0.0120815
+0.0129319
+0.014075
+0.0154331
+0.0169514
+0.018219
+0.0193222
+0.0205963
+0.0220035
+0.0235308
+0.0251564
+0.0268468
+0.0282909
+0.0272623
+0.026376
+0.0256466
+0.0250879
+0.024687
+0.0244737
+0.0244556
+0.0246331
+0.025002
+0.0255481
+0.0262518
+0.0271147
+0.0279364
+0.0285838
+0.0370421
+0.0364113
+0.0359032
+0.0355024
+0.0352281
+0.0350887
+0.0350858
+0.0352194
+0.035488
+0.0358886
+0.0364152
+0.0370407
+0.0377828
+0.038635
+0.0395903
+0.0406412
+0.0417807
+0.0430017
+0.0442975
+0.0456592
+0.0470734
+0.0460946
+0.0439124
+0.041731
+0.0395506
+0.0373714
+0.0351937
+0.0330177
+0.0308438
+0.0286724
+0.0265042
+0.02434
+0.022181
+0.020029
+0.0178863
+0.0157568
+0.0136466
+0.0115665
+0.00953605
+0.00754559
+0.00565189
+0.00393238
+0.00237472
+0.00134773
+0.000934927
+0.00190078
+0.000514675
+-9.00507e-05
+0.00105929
+0.00123608
+-0.000296115
+0.000475214
+0.00059649
+-0.000397307
+0.00044489
+0.00232753
+0.00430368
+0.00638395
+0.00848281
+0.0105631
+0.0126628
+0.0147859
+0.01393
+0.0124593
+0.0111838
+0.0102177
+0.00957023
+0.0094008
+0.00967381
+0.0103687
+0.0107346
+0.0104675
+0.0106428
+0.0111799
+0.0120959
+0.0133128
+0.0147563
+0.0163621
+0.0176786
+0.0188135
+0.0201199
+0.0215582
+0.0231149
+0.0247678
+0.0264929
+0.0282634
+0.0291241
+0.0282962
+0.0276176
+0.0270962
+0.026723
+0.0265261
+0.0265094
+0.0266732
+0.0270142
+0.0270842
+0.0272619
+0.0276129
+0.0281305
+0.0288059
+0.0390216
+0.0384233
+0.037942
+0.0375579
+0.0372988
+0.0371671
+0.0371644
+0.0372905
+0.0375443
+0.0379232
+0.0384234
+0.039022
+0.0397271
+0.0405385
+0.0414499
+0.0424549
+0.0435469
+0.0447197
+0.0459671
+0.047283
+0.0481568
+0.045968
+0.0437794
+0.041591
+0.0394029
+0.0372151
+0.0350277
+0.0328407
+0.0306542
+0.0284684
+0.0262833
+0.0240993
+0.0219167
+0.0197358
+0.0175573
+0.0153823
+0.0132126
+0.011051
+0.00890377
+0.00678434
+0.00473026
+0.00269372
+0.000850052
+-0.000670332
+0.000128274
+0.000743391
+-0.000764658
+-0.00181432
+-0.000155116
+-1.16827e-05
+-0.00185586
+-0.00137543
+-0.000593494
+-0.00157843
+-0.000541543
+0.00153809
+0.00365821
+0.00577065
+0.0079236
+0.0100928
+0.0122696
+0.0144507
+0.0138243
+0.0123159
+0.0110248
+0.0100085
+0.00934648
+0.00917085
+0.00942312
+0.0101413
+0.0102147
+0.00993354
+0.0100797
+0.0106453
+0.0116036
+0.0128671
+0.0143555
+0.0160017
+0.0173992
+0.0185512
+0.0198748
+0.0213297
+0.0229019
+0.0245691
+0.0263072
+0.0280895
+0.0299261
+0.0302532
+0.0296195
+0.0291286
+0.0287818
+0.0282414
+0.0278353
+0.027569
+0.0274293
+0.0274491
+0.0276245
+0.0279709
+0.028482
+0.0291492
+0.0410226
+0.0404539
+0.0399921
+0.0396279
+0.0393824
+0.0392577
+0.0392551
+0.0393746
+0.039615
+0.0399742
+0.0404491
+0.0410247
+0.0416959
+0.0424697
+0.0433405
+0.0443026
+0.0453502
+0.0464775
+0.0476789
+0.0489489
+0.0481354
+0.0459456
+0.0437559
+0.0415663
+0.0393768
+0.0371874
+0.0349983
+0.0328093
+0.0306206
+0.0284321
+0.0262441
+0.0240565
+0.0218696
+0.0196835
+0.0174985
+0.0153152
+0.0131343
+0.0109574
+0.00878728
+0.00663059
+0.00450092
+0.00242338
+0.000490221
+-0.000461383
+-4.69327e-05
+0.000699054
+-0.000795179
+-0.00102565
+-6.70093e-05
+0.000280941
+-0.000728147
+-1.47856e-05
+0.000527313
+-0.00083861
+-0.00060377
+0.00130293
+0.0034726
+0.00564515
+0.00782596
+0.0100111
+0.0121982
+0.0143864
+0.0140171
+0.0125318
+0.0112655
+0.010273
+0.00962728
+0.00936893
+0.00960745
+0.0103072
+0.0101255
+0.00984284
+0.00997652
+0.0105477
+0.0115141
+0.0127864
+0.0142832
+0.0159211
+0.0173933
+0.0185457
+0.0198697
+0.0213249
+0.0228975
+0.024565
+0.0263034
+0.0280859
+0.0299227
+0.0318043
+0.0308404
+0.0299927
+0.0292847
+0.0287267
+0.0283276
+0.0280659
+0.0279287
+0.027963
+0.0281534
+0.0284933
+0.0289952
+0.0296509
+0.0430421
+0.0425004
+0.0420564
+0.0417102
+0.041477
+0.0413587
+0.0413562
+0.0414696
+0.041698
+0.0420394
+0.0424912
+0.0430456
+0.0436858
+0.044425
+0.0452582
+0.0461803
+0.0471863
+0.0482707
+0.0494285
+0.0504001
+0.0482136
+0.0460275
+0.0438419
+0.0416568
+0.0394724
+0.0372886
+0.0351058
+0.032924
+0.0307433
+0.0285632
+0.0263833
+0.0242049
+0.0220289
+0.0198562
+0.0176878
+0.0155258
+0.0133731
+0.0112351
+0.00912206
+0.0070566
+0.00509681
+0.00334233
+0.00209261
+0.00172184
+0.00193852
+0.0019225
+0.00125253
+0.00113415
+0.0016487
+0.001959
+0.00142054
+0.00176036
+0.00198402
+0.00131829
+0.00144733
+0.00246664
+0.00419795
+0.00615089
+0.0082132
+0.0103285
+0.0124699
+0.0146259
+0.0145409
+0.0131028
+0.011878
+0.0108939
+0.0102653
+0.0100152
+0.0102387
+0.0108393
+0.0104586
+0.0101842
+0.0103089
+0.0108604
+0.0117992
+0.0130419
+0.0145093
+0.0160986
+0.0176448
+0.0187817
+0.0200886
+0.0215367
+0.0231009
+0.0247555
+0.0264802
+0.0282527
+0.0300793
+0.0319517
+0.0314384
+0.0306073
+0.0299138
+0.0293678
+0.0289748
+0.0287217
+0.0285877
+0.0286212
+0.0288177
+0.0291499
+0.0296407
+0.0302824
+0.0450776
+0.0445606
+0.0441329
+0.0438031
+0.0435811
+0.0434685
+0.0434662
+0.0435741
+0.0437915
+0.0441167
+0.0445474
+0.0450806
+0.0456941
+0.0464013
+0.0471996
+0.0480845
+0.0490514
+0.0500955
+0.0512121
+0.0505675
+0.0483869
+0.0462072
+0.0440286
+0.0418513
+0.0396754
+0.0375013
+0.0353292
+0.0331596
+0.0309929
+0.0288299
+0.0266714
+0.0245186
+0.0223731
+0.0202373
+0.0181147
+0.0160104
+0.0139328
+0.0118958
+0.00992443
+0.00805541
+0.00633651
+0.00497589
+0.0041392
+0.00390433
+0.00407493
+0.00375518
+0.00335645
+0.00329297
+0.00368738
+0.00392932
+0.00355728
+0.00377401
+0.00398194
+0.00347818
+0.00356536
+0.00426354
+0.00554291
+0.00721745
+0.00907062
+0.0110296
+0.0130623
+0.0151392
+0.0153017
+0.0139394
+0.0127396
+0.0118178
+0.0112351
+0.0110071
+0.0112108
+0.0117619
+0.0112168
+0.0109307
+0.0110252
+0.0115425
+0.0124299
+0.0136152
+0.0150267
+0.0165664
+0.0181238
+0.0192325
+0.0205107
+0.021931
+0.0234701
+0.0251062
+0.0268101
+0.0285645
+0.0303757
+0.032234
+0.0321747
+0.0313631
+0.0306868
+0.0301547
+0.0297687
+0.0295251
+0.0293955
+0.0294281
+0.0296193
+0.0299426
+0.0304206
+0.0310462
+0.047127
+0.0466328
+0.0462199
+0.0459052
+0.0456934
+0.045586
+0.0455837
+0.0456866
+0.045894
+0.0462045
+0.0466159
+0.0471257
+0.0477185
+0.0483961
+0.049162
+0.0500122
+0.0509426
+0.0519487
+0.0529843
+0.0508129
+0.0486433
+0.0464756
+0.0443102
+0.0421475
+0.0399877
+0.0378316
+0.0356796
+0.0335327
+0.0313918
+0.0292582
+0.0271338
+0.0250208
+0.0229224
+0.020843
+0.0187889
+0.0167694
+0.0147987
+0.0128992
+0.0110739
+0.00939647
+0.00796419
+0.00691248
+0.00626856
+0.00608966
+0.00624782
+0.00578331
+0.00547594
+0.00545768
+0.0058139
+0.00597806
+0.00569941
+0.00586787
+0.00607295
+0.00565966
+0.00571128
+0.00619679
+0.00715401
+0.00852354
+0.0101591
+0.0119506
+0.0138488
+0.0158228
+0.0163154
+0.0150012
+0.0138895
+0.0130426
+0.0124985
+0.0122939
+0.0124767
+0.0129125
+0.0123073
+0.012015
+0.0121011
+0.0125742
+0.0133934
+0.0145001
+0.015833
+0.0173011
+0.018847
+0.0199154
+0.0211523
+0.0225322
+0.0240329
+0.025633
+0.0273121
+0.0290362
+0.0308197
+0.0326527
+0.0330402
+0.0322504
+0.031593
+0.0310737
+0.0306987
+0.030454
+0.0303404
+0.030372
+0.0305572
+0.0308707
+0.0313345
+0.0319422
+0.0491885
+0.0487139
+0.0483161
+0.0480151
+0.0478126
+0.04771
+0.0477079
+0.0478062
+0.0480045
+0.0483013
+0.048695
+0.0491833
+0.0497569
+0.0504071
+0.0511429
+0.0519608
+0.0528568
+0.0538271
+0.0533086
+0.0511511
+0.0489964
+0.0468451
+0.0446976
+0.0425545
+0.0404166
+0.0382845
+0.0361595
+0.0340429
+0.0319362
+0.0298416
+0.0277619
+0.0257006
+0.0236625
+0.0216543
+0.0196851
+0.0177677
+0.0159091
+0.0141268
+0.0124753
+0.0110116
+0.00980047
+0.00895791
+0.00842537
+0.00827778
+0.00842751
+0.00789634
+0.00762784
+0.00763346
+0.00796477
+0.00809357
+0.00785695
+0.00800694
+0.00817142
+0.00784626
+0.00787583
+0.00823706
+0.00899173
+0.010084
+0.011494
+0.0131201
+0.0148865
+0.0167434
+0.0175059
+0.0162814
+0.0152632
+0.0144968
+0.013989
+0.0138065
+0.0139671
+0.0141849
+0.0136363
+0.0133731
+0.0134505
+0.0138777
+0.014624
+0.0156439
+0.0168867
+0.0182704
+0.0197874
+0.0208076
+0.0219944
+0.0233245
+0.0247772
+0.0263322
+0.027972
+0.0296627
+0.0314106
+0.033211
+0.0340248
+0.0332584
+0.0326214
+0.0321155
+0.0317516
+0.0315081
+0.0314098
+0.0314403
+0.0316193
+0.0319223
+0.0323711
+0.0329597
+0.0512608
+0.0508017
+0.0504204
+0.050132
+0.0499381
+0.0498399
+0.0498378
+0.049932
+0.0501218
+0.0504062
+0.0507836
+0.0512519
+0.0518077
+0.0524325
+0.0531403
+0.0539279
+0.0547917
+0.0557284
+0.0537205
+0.0515801
+0.0494442
+0.0473132
+0.045188
+0.0430693
+0.0409582
+0.0388559
+0.036764
+0.0346842
+0.032619
+0.0305712
+0.0285447
+0.0265442
+0.0245763
+0.0226492
+0.0207733
+0.0189429
+0.0171959
+0.0155617
+0.0140795
+0.0127858
+0.0117588
+0.0110243
+0.0105961
+0.010467
+0.0105582
+0.0100427
+0.0097964
+0.00981508
+0.0100981
+0.0102408
+0.010028
+0.010168
+0.0103083
+0.0100347
+0.0100517
+0.0103145
+0.0109107
+0.0118403
+0.013062
+0.0145134
+0.016128
+0.0178562
+0.0188707
+0.0177368
+0.0168086
+0.0160886
+0.0156261
+0.0154629
+0.0155885
+0.0156617
+0.0151594
+0.0149093
+0.0149787
+0.0153635
+0.0160408
+0.0169759
+0.0181287
+0.0194392
+0.0208816
+0.0218835
+0.0230149
+0.0242892
+0.0256874
+0.0271904
+0.0287813
+0.0304274
+0.0321365
+0.0339011
+0.0351187
+0.0343767
+0.033758
+0.0332692
+0.0329105
+0.0326753
+0.0325834
+0.0326128
+0.0327889
+0.0330858
+0.033519
+0.0340878
+0.0533426
+0.0528978
+0.0525317
+0.0522549
+0.052069
+0.0519748
+0.0519728
+0.0520631
+0.0522452
+0.0525181
+0.0528804
+0.0533303
+0.0538656
+0.0544708
+0.0551524
+0.0559116
+0.0567453
+0.0563431
+0.0542177
+0.0520978
+0.049984
+0.0478771
+0.045778
+0.043688
+0.0416083
+0.0395406
+0.0374869
+0.0354495
+0.0334316
+0.0314368
+0.0294699
+0.0275367
+0.025645
+0.0237926
+0.0219945
+0.0202739
+0.0186521
+0.0171571
+0.0158145
+0.0146729
+0.0137872
+0.013131
+0.0127736
+0.0126566
+0.0125984
+0.0122048
+0.011973
+0.0119628
+0.0122252
+0.0123876
+0.012206
+0.0123395
+0.012458
+0.0122239
+0.012231
+0.012416
+0.0129163
+0.0137219
+0.0147891
+0.0160855
+0.017556
+0.0191558
+0.0203517
+0.0193024
+0.0184526
+0.0177829
+0.0173655
+0.0172188
+0.0173308
+0.0172867
+0.0167915
+0.016566
+0.0166285
+0.0169759
+0.0175913
+0.0184479
+0.019514
+0.0207572
+0.0221295
+0.0231147
+0.0241912
+0.0254065
+0.0267464
+0.028193
+0.0297303
+0.0313266
+0.0329891
+0.0347104
+0.036312
+0.0355948
+0.0349947
+0.0345234
+0.0341703
+0.0339438
+0.0338544
+0.0338828
+0.0340523
+0.0343498
+0.0347672
+0.0353159
+0.0554327
+0.0550012
+0.0546492
+0.0543833
+0.0542046
+0.0541141
+0.0541122
+0.054199
+0.0543739
+0.0546362
+0.0549845
+0.0554174
+0.0559327
+0.0565204
+0.0571776
+0.0579103
+0.0587156
+0.0569018
+0.0547982
+0.0527016
+0.050613
+0.0485334
+0.046464
+0.0444062
+0.0423618
+0.0403328
+0.0383215
+0.036331
+0.0343649
+0.0324276
+0.0305245
+0.0286589
+0.0268293
+0.0250576
+0.0233572
+0.0217446
+0.020241
+0.0188658
+0.0176498
+0.0166346
+0.0158588
+0.0152614
+0.0149478
+0.0148466
+0.014603
+0.0143123
+0.014154
+0.0141042
+0.0143414
+0.0145071
+0.0143564
+0.0145168
+0.0146127
+0.0144135
+0.0143832
+0.0145439
+0.0149738
+0.0156744
+0.0166259
+0.0177888
+0.0191289
+0.0206069
+0.0219495
+0.0209803
+0.0201862
+0.0195759
+0.0191975
+0.019065
+0.0191654
+0.0189953
+0.0185391
+0.0183351
+0.0183916
+0.0187063
+0.0192665
+0.0200517
+0.0210366
+0.0221947
+0.0234899
+0.024477
+0.0254978
+0.0266574
+0.0279374
+0.0293253
+0.0308062
+0.0323494
+0.0339619
+0.0356362
+0.0373639
+0.0369001
+0.0363216
+0.0358677
+0.0355207
+0.0353029
+0.035216
+0.0352432
+0.0354062
+0.0357025
+0.036105
+0.0366337
+0.0575303
+0.0571113
+0.0567724
+0.0565164
+0.0563445
+0.0562574
+0.0562556
+0.056339
+0.0565073
+0.0567598
+0.0570952
+0.0575121
+0.0580089
+0.0585803
+0.0592146
+0.0599224
+0.0596261
+0.0575386
+0.0554591
+0.0533885
+0.0513278
+0.0492784
+0.0472417
+0.0452193
+0.0432134
+0.0412263
+0.0392608
+0.0373204
+0.0354093
+0.0335324
+0.0316836
+0.0298786
+0.0281284
+0.0264439
+0.0248385
+0.0233286
+0.0219302
+0.0206623
+0.0195583
+0.0186473
+0.0179402
+0.0174068
+0.0171235
+0.0170368
+0.0166545
+0.0164
+0.0162608
+0.0162588
+0.016477
+0.0166451
+0.0165089
+0.0166204
+0.0167766
+0.0166035
+0.0165455
+0.016688
+0.0170645
+0.0176824
+0.0185395
+0.0195893
+0.0208138
+0.0221798
+0.0236425
+0.0227456
+0.0220015
+0.0214429
+0.0210981
+0.0209775
+0.0210681
+0.0207885
+0.0203726
+0.0201871
+0.0202385
+0.0205249
+0.0210367
+0.021758
+0.022669
+0.0237476
+0.0249557
+0.0259529
+0.0269178
+0.028021
+0.0292442
+0.0305728
+0.031996
+0.0334844
+0.0350448
+0.0366697
+0.0383509
+0.0382864
+0.0377291
+0.0372888
+0.0369517
+0.0367424
+0.036658
+0.0366842
+0.0368408
+0.0371262
+0.0375191
+0.0380281
+0.0596326
+0.0592271
+0.0589004
+0.0586537
+0.0584881
+0.0584042
+0.0584025
+0.0584829
+0.058645
+0.0588883
+0.0592116
+0.0596138
+0.0600932
+0.0606479
+0.0612622
+0.0619466
+0.0603136
+0.0582508
+0.0561977
+0.0541553
+0.052125
+0.0501082
+0.0481066
+0.0461222
+0.0441573
+0.0422146
+0.0402974
+0.0384094
+0.0365498
+0.0347213
+0.032937
+0.0312045
+0.029533
+0.0279334
+0.0264187
+0.0250029
+0.023697
+0.0225287
+0.0215207
+0.0206963
+0.0200383
+0.0195622
+0.0193026
+0.0192096
+0.0187376
+0.0185115
+0.0183869
+0.0184218
+0.0186236
+0.0187952
+0.0186698
+0.0187331
+0.0189248
+0.0187827
+0.0187144
+0.0188429
+0.0191725
+0.0197245
+0.020497
+0.0214624
+0.0225856
+0.0238504
+0.0252422
+0.0245755
+0.0238766
+0.0233628
+0.0230467
+0.0229364
+0.023022
+0.0226518
+0.0222707
+0.0221011
+0.022148
+0.02241
+0.0228797
+0.0235447
+0.024389
+0.025393
+0.0265217
+0.0275242
+0.0284358
+0.0294823
+0.0306499
+0.0319221
+0.0332876
+0.0347207
+0.0362279
+0.0378019
+0.0394349
+0.039745
+0.0392085
+0.0387783
+0.0384543
+0.0382532
+0.0381713
+0.0381964
+0.0383469
+0.0386212
+0.039005
+0.0394949
+0.0617398
+0.0613483
+0.0610329
+0.0607949
+0.0606351
+0.0605542
+0.0605525
+0.06063
+0.0607865
+0.0610212
+0.0613333
+0.0617216
+0.0621848
+0.062721
+0.0633194
+0.0631188
+0.0610721
+0.0590358
+0.0570109
+0.0549988
+0.0530008
+0.0510186
+0.0490542
+0.0471097
+0.0451878
+0.0432914
+0.0414233
+0.0395777
+0.0377687
+0.0360022
+0.0342847
+0.0326238
+0.0310289
+0.0295104
+0.0280809
+0.0267461
+0.0255295
+0.024449
+0.0235234
+0.0227716
+0.0221544
+0.0217246
+0.0214841
+0.0212681
+0.0208428
+0.0206395
+0.0205267
+0.0205908
+0.0207726
+0.0209526
+0.020837
+0.020862
+0.0210369
+0.0209588
+0.0208879
+0.0210051
+0.0212939
+0.0217923
+0.0224938
+0.0233803
+0.0244255
+0.0255995
+0.026901
+0.0264491
+0.0258009
+0.0253262
+0.0250349
+0.0249334
+0.0250152
+0.0245684
+0.0242175
+0.0240617
+0.0241048
+0.0243457
+0.0247788
+0.025394
+0.0261787
+0.0271111
+0.0281711
+0.0291755
+0.0300371
+0.0310296
+0.032141
+0.0333595
+0.0346697
+0.0360479
+0.0375017
+0.0390245
+0.0406083
+0.0412685
+0.040752
+0.0403319
+0.0400205
+0.0398273
+0.0397478
+0.0397719
+0.0399164
+0.04018
+0.0405549
+0.0410262
+0.0638527
+0.0634741
+0.0631694
+0.0629394
+0.0627851
+0.062707
+0.0627054
+0.0627802
+0.0629313
+0.0631581
+0.0634597
+0.0638351
+0.064283
+0.0648019
+0.0653852
+0.0639191
+0.0618989
+0.0598907
+0.0578957
+0.0559154
+0.0539514
+0.0520054
+0.0500797
+0.0481767
+0.046299
+0.0444434
+0.0426157
+0.0408238
+0.0390726
+0.0373677
+0.0357159
+0.0341248
+0.0326034
+0.0311618
+0.0298054
+0.0285511
+0.0274147
+0.0264114
+0.025557
+0.0248626
+0.0242837
+0.0238923
+0.0236673
+0.0233506
+0.0229639
+0.0227794
+0.0226762
+0.0227525
+0.0229284
+0.0231143
+0.0230087
+0.0230024
+0.0231635
+0.0231355
+0.0230646
+0.0231728
+0.0234281
+0.023882
+0.0245238
+0.0253394
+0.0263125
+0.0274122
+0.0286314
+0.0283681
+0.0277647
+0.0273242
+0.0270544
+0.0269605
+0.0270209
+0.026522
+0.0261972
+0.0260533
+0.0260931
+0.0263158
+0.026717
+0.0272886
+0.0280203
+0.0288933
+0.0298901
+0.030881
+0.0316962
+0.0326384
+0.0336968
+0.0348609
+0.0361205
+0.0374563
+0.0388574
+0.040329
+0.0418635
+0.0428498
+0.0423523
+0.0419424
+0.041643
+0.0414574
+0.0413803
+0.0414034
+0.0415423
+0.0417956
+0.042161
+0.0426152
+0.0659706
+0.0656043
+0.0653094
+0.065087
+0.0649378
+0.0648623
+0.0648607
+0.0649331
+0.0650792
+0.0652985
+0.0655902
+0.0659535
+0.0663871
+0.0668897
+0.0667884
+0.0647836
+0.0627912
+0.0608125
+0.0588488
+0.0569016
+0.0549728
+0.0530644
+0.0511785
+0.0493155
+0.0474733
+0.0456618
+0.0438849
+0.042147
+0.0404531
+0.038809
+0.0372212
+0.0356972
+0.0342457
+0.032872
+0.0315875
+0.0304068
+0.0293423
+0.0284072
+0.0276146
+0.026956
+0.026423
+0.0260637
+0.0258517
+0.0254513
+0.025097
+0.0249282
+0.0248329
+0.0249025
+0.0250903
+0.0252802
+0.0251683
+0.0251515
+0.0253011
+0.0253128
+0.0252438
+0.0253387
+0.0255719
+0.0259883
+0.0265793
+0.0273336
+0.0282381
+0.0292766
+0.0304212
+0.0303239
+0.0297602
+0.0293497
+0.0290987
+0.0290114
+0.0289748
+0.02851
+0.0282082
+0.0280745
+0.0281115
+0.0283184
+0.0286915
+0.0292245
+0.0299089
+0.0307283
+0.0316674
+0.0326377
+0.03341
+0.0343051
+0.0353136
+0.0364261
+0.0376333
+0.0389265
+0.0402867
+0.0417079
+0.0431934
+0.0444829
+0.0439987
+0.0436035
+0.0433156
+0.0431372
+0.0430623
+0.0430845
+0.043218
+0.0434616
+0.0438135
+0.0442556
+0.0680931
+0.0677382
+0.0674528
+0.0672375
+0.067093
+0.0670199
+0.0670184
+0.0670885
+0.0672298
+0.0674421
+0.0677247
+0.0680766
+0.0684967
+0.068984
+0.0676871
+0.0657098
+0.0637464
+0.0617982
+0.0598669
+0.057954
+0.0560614
+0.0541912
+0.0523385
+0.0505115
+0.0487145
+0.0469509
+0.0452247
+0.0435403
+0.0419028
+0.0403178
+0.0387918
+0.037332
+0.0359439
+0.0346348
+0.0334182
+0.0323044
+0.0313046
+0.0304298
+0.0296913
+0.0290638
+0.0285701
+0.0282346
+0.0280371
+0.0275661
+0.0272393
+0.0270836
+0.0269951
+0.0270591
+0.0272568
+0.0274412
+0.0273227
+0.0273072
+0.0274471
+0.0274905
+0.0274248
+0.027508
+0.0277229
+0.0281075
+0.0286549
+0.0293559
+0.0301999
+0.0311753
+0.0322605
+0.0323088
+0.0317804
+0.0313962
+0.0311617
+0.0310802
+0.0309604
+0.0305259
+0.0302441
+0.0301195
+0.030154
+0.0303469
+0.0306954
+0.0311942
+0.0318363
+0.0326073
+0.0334937
+0.0344441
+0.0351768
+0.0360281
+0.0369896
+0.0380531
+0.0392103
+0.0404531
+0.0417739
+0.0431539
+0.0445913
+0.0460881
+0.0456901
+0.0453097
+0.0450327
+0.0448611
+0.0447883
+0.0448097
+0.044938
+0.0451724
+0.045511
+0.045942
+0.0702198
+0.0698758
+0.069599
+0.0693904
+0.0692504
+0.0691796
+0.0691781
+0.069246
+0.069383
+0.0695887
+0.0698626
+0.0702038
+0.0706113
+0.0706072
+0.0686441
+0.0666951
+0.0647616
+0.0628449
+0.0609467
+0.0590688
+0.0572094
+0.0553697
+0.0535565
+0.0517725
+0.0500208
+0.048305
+0.0466289
+0.0449971
+0.0434146
+0.0418868
+0.0404201
+0.03902
+0.0376905
+0.0364441
+0.0352899
+0.0342371
+0.0332954
+0.0324743
+0.0317833
+0.031183
+0.0307234
+0.0304066
+0.0301515
+0.0296918
+0.0293887
+0.0292443
+0.0291615
+0.0292208
+0.0294269
+0.0295983
+0.0294824
+0.0294681
+0.0295996
+0.0296681
+0.0296072
+0.0296804
+0.0298798
+0.0302369
+0.0307464
+0.0314008
+0.0321912
+0.033108
+0.0341409
+0.034311
+0.0338139
+0.0334531
+0.0332331
+0.0331567
+0.032972
+0.0325643
+0.0323003
+0.0321837
+0.0322159
+0.0323966
+0.0327232
+0.0331916
+0.0337957
+0.034523
+0.0353615
+0.0362929
+0.036989
+0.0377995
+0.038717
+0.0397343
+0.0408439
+0.0420384
+0.0433109
+0.0446546
+0.0460511
+0.0475019
+0.0474224
+0.0470559
+0.0467893
+0.0466242
+0.0465535
+0.0465741
+0.0466975
+0.0469231
+0.0472492
+0.0476693
+0.0723503
+0.0720164
+0.071748
+0.0715456
+0.0714099
+0.0713412
+0.0713398
+0.0714056
+0.0715384
+0.071738
+0.0720037
+0.0723347
+0.0727303
+0.0715922
+0.0696568
+0.0677369
+0.065834
+0.0639495
+0.0620845
+0.0602345
+0.058408
+0.0566073
+0.0548351
+0.053094
+0.0513874
+0.0497188
+0.048092
+0.0465116
+0.0449823
+0.0435096
+0.0420994
+0.0407525
+0.0394813
+0.0382933
+0.0371965
+0.0361992
+0.0353098
+0.0345366
+0.0338778
+0.0333114
+0.0328816
+0.0325811
+0.0322556
+0.0318264
+0.0315438
+0.0314092
+0.0313313
+0.0313865
+0.0315939
+0.0317601
+0.0316464
+0.0316331
+0.0317573
+0.0318474
+0.0317907
+0.0318554
+0.0320412
+0.0323745
+0.0328509
+0.0334641
+0.0342069
+0.035071
+0.0360477
+0.0363345
+0.0358654
+0.0355255
+0.0353184
+0.0352465
+0.035005
+0.0346213
+0.0343731
+0.0342635
+0.0342938
+0.0344636
+0.0347709
+0.035212
+0.035782
+0.0364697
+0.0372644
+0.0381685
+0.0388402
+0.0396128
+0.0404893
+0.0414631
+0.0425276
+0.0436761
+0.0449022
+0.0461997
+0.0475627
+0.0489728
+0.0491913
+0.0488381
+0.0485812
+0.0484222
+0.0483534
+0.0483733
+0.0484921
+0.0487094
+0.0490236
+0.0494327
+0.0744843
+0.0741601
+0.0738994
+0.0737029
+0.0735712
+0.0735045
+0.0735031
+0.073567
+0.073696
+0.0738897
+0.0741476
+0.0744692
+0.0745525
+0.0726299
+0.0707229
+0.0688328
+0.066961
+0.0651044
+0.0632667
+0.0614523
+0.059663
+0.0579014
+0.05617
+0.0544716
+0.0528095
+0.0511873
+0.0496087
+0.0480781
+0.0466003
+0.0451804
+0.0438196
+0.0425272
+0.0413107
+0.0401768
+0.0391329
+0.0381862
+0.0373441
+0.0366139
+0.0359802
+0.0354475
+0.0350438
+0.0347576
+0.0343706
+0.0339681
+0.0337034
+0.0335774
+0.0335038
+0.0335555
+0.0337495
+0.0339251
+0.0338138
+0.0338014
+0.0339171
+0.0340283
+0.0339752
+0.0340324
+0.0342064
+0.0345188
+0.0349659
+0.0355427
+0.0362429
+0.0370596
+0.0379852
+0.0383764
+0.0379326
+0.0376113
+0.0374158
+0.0373479
+0.0370519
+0.0366895
+0.0364555
+0.0363522
+0.0363807
+0.0365408
+0.0368307
+0.0372474
+0.0377868
+0.0384427
+0.0391974
+0.0400578
+0.0407251
+0.0414626
+0.0423008
+0.0432338
+0.0442558
+0.0453605
+0.0465422
+0.0477952
+0.049114
+0.0504934
+0.0509929
+0.0506523
+0.0504046
+0.0502514
+0.0501845
+0.0502036
+0.0503182
+0.0505275
+0.0508305
+0.0512255
+0.0766215
+0.0763063
+0.076053
+0.0758621
+0.0757341
+0.0756694
+0.0756681
+0.0757301
+0.0758554
+0.0760436
+0.0762943
+0.0766068
+0.075613
+0.0737181
+0.07184
+0.0699782
+0.0681312
+0.066305
+0.0645016
+0.0627229
+0.0609709
+0.0592482
+0.0575573
+0.0559011
+0.0542828
+0.0527059
+0.0511742
+0.0496919
+0.0482635
+0.0468908
+0.0455802
+0.0443392
+0.0431737
+0.0420901
+0.0410948
+0.0401943
+0.0393952
+0.0387037
+0.0380926
+0.0375898
+0.0372094
+0.0369358
+0.0364945
+0.0361157
+0.0358669
+0.0357483
+0.0356786
+0.0357271
+0.0359094
+0.0360917
+0.0359841
+0.0359724
+0.0360788
+0.0362103
+0.0361604
+0.036211
+0.0363746
+0.0366685
+0.0370898
+0.037634
+0.038296
+0.0390698
+0.0399488
+0.0404338
+0.0400128
+0.0397084
+0.0395233
+0.039459
+0.0391135
+0.0387704
+0.038549
+0.0384513
+0.0384783
+0.0386297
+0.038904
+0.0392988
+0.0398103
+0.0404343
+0.0411562
+0.0419765
+0.0426392
+0.0433442
+0.0441467
+0.0450415
+0.0460233
+0.0470866
+0.048226
+0.0494364
+0.0507124
+0.0520495
+0.0528239
+0.0524952
+0.0522563
+0.0521085
+0.0520433
+0.0520618
+0.0521722
+0.0523742
+0.0526666
+0.0530479
+0.0787616
+0.0784551
+0.0782087
+0.0780231
+0.0778987
+0.0778357
+0.0778344
+0.0778947
+0.0780165
+0.0781996
+0.0784434
+0.0786048
+0.0767214
+0.0748546
+0.0730002
+0.0711641
+0.0693486
+0.0675554
+0.0657863
+0.0640432
+0.0623284
+0.0606443
+0.0589934
+0.0573787
+0.0558033
+0.0542705
+0.0527843
+0.0513485
+0.0499653
+0.0486389
+0.0473767
+0.046184
+0.0450662
+0.0440292
+0.0430787
+0.0422206
+0.0414605
+0.0408015
+0.0402133
+0.0397374
+0.0393777
+0.0391032
+0.0386259
+0.0382681
+0.0380334
+0.0379215
+0.0378551
+0.0379008
+0.0380728
+0.0382602
+0.0381567
+0.0381456
+0.0382439
+0.0383933
+0.0383463
+0.038391
+0.0385453
+0.0388228
+0.0392209
+0.039736
+0.0403635
+0.0410984
+0.041935
+0.0425046
+0.0421043
+0.0418151
+0.0416393
+0.0415784
+0.0411884
+0.0408627
+0.0406527
+0.0405601
+0.0405857
+0.0407292
+0.0409895
+0.0413644
+0.0418507
+0.0424447
+0.0431373
+0.0439207
+0.0445789
+0.0452536
+0.0460228
+0.0468818
+0.0478259
+0.0488499
+0.0499492
+0.0511187
+0.0523538
+0.05365
+0.0546814
+0.0543639
+0.0541333
+0.0539906
+0.0539271
+0.0539449
+0.0540515
+0.0542465
+0.0545288
+0.0548972
+0.0809045
+0.0806061
+0.0803663
+0.0801857
+0.0800646
+0.0800034
+0.0800021
+0.0800608
+0.0801793
+0.0803574
+0.0805947
+0.0797318
+0.0778729
+0.0760282
+0.0742024
+0.0723969
+0.0706131
+0.0688528
+0.0671179
+0.0654103
+0.0637323
+0.0620863
+0.0604748
+0.0589007
+0.0573671
+0.0558773
+0.0544349
+0.0530425
+0.0517022
+0.0504216
+0.0492051
+0.0480578
+0.0469847
+0.0459909
+0.0450818
+0.0442625
+0.0435382
+0.0429002
+0.0423412
+0.0418894
+0.0415461
+0.0412161
+0.0407635
+0.0404247
+0.0402026
+0.0400966
+0.0400332
+0.0400765
+0.0402391
+0.0404311
+0.0403312
+0.0403208
+0.0404117
+0.0405771
+0.0405326
+0.0405722
+0.0407182
+0.040981
+0.0413583
+0.0418471
+0.0424434
+0.0431429
+0.0439405
+0.0445868
+0.0442054
+0.04393
+0.0437627
+0.0436841
+0.0432747
+0.0429649
+0.0427652
+0.0426771
+0.0427015
+0.0428379
+0.0430855
+0.0434423
+0.0439056
+0.0444721
+0.0451377
+0.045887
+0.0465408
+0.0471874
+0.0479256
+0.0487511
+0.0496596
+0.0506467
+0.0517077
+0.0528383
+0.0540341
+0.0552909
+0.0565627
+0.0562559
+0.056033
+0.0558952
+0.0558333
+0.0558505
+0.0559535
+0.0561418
+0.0564147
+0.0567708
+0.0830498
+0.0827592
+0.0825256
+0.0823498
+0.0822319
+0.0821722
+0.082171
+0.0822281
+0.0823435
+0.082517
+0.082748
+0.0808965
+0.0790617
+0.0772455
+0.0754491
+0.0736741
+0.0719221
+0.0701946
+0.0684937
+0.0668213
+0.0651796
+0.063571
+0.0619982
+0.0604637
+0.0589708
+0.0575225
+0.056122
+0.0547695
+0.0534726
+0.0522353
+0.0510621
+0.0499574
+0.048926
+0.0479725
+0.0471016
+0.0463181
+0.0456263
+0.0450077
+0.0444752
+0.0440453
+0.0437154
+0.0433368
+0.0429065
+0.0425848
+0.042374
+0.0422733
+0.0422127
+0.0422537
+0.0424079
+0.042604
+0.0425074
+0.0424974
+0.0425818
+0.0427617
+0.0427194
+0.0427543
+0.0428929
+0.0431425
+0.043501
+0.043966
+0.044534
+0.0452011
+0.045963
+0.046679
+0.0463148
+0.046052
+0.0458925
+0.0457603
+0.0453709
+0.0450755
+0.0448851
+0.0448013
+0.0448244
+0.0449545
+0.0451904
+0.0455307
+0.045973
+0.0465143
+0.0471513
+0.0478729
+0.0485222
+0.0491429
+0.0498521
+0.0506462
+0.0515213
+0.0524733
+0.0534982
+0.0545917
+0.0557499
+0.0569689
+0.0582447
+0.0581688
+0.0579533
+0.05782
+0.0577597
+0.0577762
+0.0578758
+0.0580579
+0.0583218
+0.0586664
+0.0937293
+0.0918882
+0.0900628
+0.088254
+0.086463
+0.0846906
+0.0829383
+0.0812073
+0.0794989
+0.0778148
+0.0761564
+0.0745255
+0.0729239
+0.0713536
+0.0698152
+0.0682815
+0.0667845
+0.0653266
+0.0639106
+0.0625393
+0.0612156
+0.0599428
+0.0587242
+0.0575554
+0.0564472
+0.0554036
+0.0544282
+0.0535247
+0.0526968
+0.0519482
+0.0512823
+0.0507024
+0.0502115
+0.0498121
+0.0494958
+0.0492669
+0.0491347
+0.0490999
+0.0491629
+0.0493232
+0.0495799
+0.0499314
+0.0503742
+0.0508909
+0.0513526
+0.0518835
+0.0524803
+0.0529183
+0.0534425
+0.0540505
+0.0547395
+0.0555064
+0.0563482
+0.0572614
+0.0582345
+0.059265
+0.0603575
+0.0614345
+0.0625238
+0.0636557
+0.0645006
+0.0635473
+0.0626561
+0.0618298
+0.0610708
+0.0603819
+0.0597653
+0.0592234
+0.0587583
+0.0583717
+0.0580652
+0.0578401
+0.0576974
+0.0576377
+0.0576612
+0.0577527
+0.057926
+0.0581813
+0.0585176
+0.0589334
+0.0594268
+0.0599656
+0.060537
+0.0611774
+0.0618889
+0.0626688
+0.0635148
+0.0644242
+0.0652793
+0.0661833
+0.0671417
+0.0681538
+0.0692151
+0.0703286
+0.0714842
+0.0726821
+0.0739256
+0.0752123
+0.0765401
+0.0779069
+0.0927799
+0.0909196
+0.0890744
+0.0872451
+0.0854329
+0.0836387
+0.0818639
+0.0801096
+0.0783774
+0.0766686
+0.0749848
+0.0733278
+0.0716995
+0.070079
+0.0684812
+0.0669169
+0.0653886
+0.0638989
+0.0624505
+0.0610464
+0.0596897
+0.0583836
+0.0571318
+0.0559348
+0.0547939
+0.0537181
+0.0527115
+0.0517781
+0.0509218
+0.0501467
+0.0494566
+0.048855
+0.0483453
+0.0479304
+0.047606
+0.0473679
+0.0472304
+0.0471943
+0.0472598
+0.0474266
+0.0476934
+0.0480588
+0.0485084
+0.0490448
+0.0495855
+0.0501352
+0.0505165
+0.0509714
+0.0515154
+0.0521459
+0.0528597
+0.0536535
+0.0545239
+0.0554671
+0.0564657
+0.057528
+0.0585946
+0.0596554
+0.0607719
+0.0619204
+0.0630535
+0.0620779
+0.0611654
+0.0603186
+0.0595404
+0.0588335
+0.0582005
+0.0576439
+0.0571659
+0.0567685
+0.0564533
+0.0562218
+0.056075
+0.0560135
+0.0560377
+0.0561312
+0.0563095
+0.0565721
+0.0569179
+0.0573453
+0.057828
+0.0583692
+0.0589519
+0.0596094
+0.0603393
+0.061139
+0.0620059
+0.0628173
+0.0636808
+0.0646027
+0.0655752
+0.0666055
+0.0676911
+0.0688242
+0.0699991
+0.071222
+0.0724906
+0.0738023
+0.075155
+0.0764942
+0.0912788
+0.0899681
+0.0881293
+0.08628
+0.084447
+0.0826315
+0.0808346
+0.0790575
+0.0773016
+0.0755685
+0.0738597
+0.0721648
+0.0704781
+0.0688198
+0.067192
+0.0655971
+0.0640373
+0.0625154
+0.0610342
+0.0595967
+0.0582062
+0.0568661
+0.05558
+0.0543489
+0.053174
+0.0520648
+0.0510256
+0.0500607
+0.0491745
+0.0483715
+0.0476556
+0.047031
+0.0465013
+0.0460698
+0.0457364
+0.0454886
+0.0453454
+0.0453078
+0.045376
+0.0455496
+0.0458274
+0.0462075
+0.0466709
+0.0472281
+0.0478536
+0.0481932
+0.0485722
+0.049045
+0.0496102
+0.0502646
+0.0510048
+0.051827
+0.0527275
+0.0536975
+0.0547258
+0.0557822
+0.056811
+0.0579045
+0.0590331
+0.0602148
+0.0614519
+0.0606521
+0.0597177
+0.0588501
+0.0580522
+0.057327
+0.0566772
+0.0561055
+0.0556143
+0.0552057
+0.0548815
+0.0546433
+0.0544923
+0.054429
+0.0544536
+0.0545495
+0.0547329
+0.0550031
+0.0553586
+0.0557806
+0.0562691
+0.0568081
+0.0574066
+0.0580816
+0.0588305
+0.0596505
+0.0604055
+0.0612247
+0.0621085
+0.0630433
+0.0640395
+0.0650941
+0.0662024
+0.0673518
+0.0685519
+0.0698002
+0.0710941
+0.0724311
+0.0737603
+0.0750665
+0.089767
+0.088438
+0.0871397
+0.0853602
+0.0835071
+0.0816706
+0.0798521
+0.0780526
+0.0762736
+0.0745147
+0.0727506
+0.0710102
+0.0692955
+0.0676082
+0.0659505
+0.0643248
+0.0627334
+0.061179
+0.0596647
+0.0581934
+0.0567685
+0.0553936
+0.0540726
+0.0528063
+0.0515962
+0.0504524
+0.0493792
+0.0483815
+0.0474641
+0.0466315
+0.0458885
+0.0452395
+0.0446886
+0.0442394
+0.0438921
+0.0436339
+0.0434845
+0.0434453
+0.0435165
+0.0436975
+0.043987
+0.0443829
+0.044865
+0.0454444
+0.04591
+0.0462561
+0.0466496
+0.0471418
+0.0477295
+0.0484093
+0.0491774
+0.0500297
+0.050962
+0.0519572
+0.0530017
+0.0539946
+0.0550568
+0.0561683
+0.0573253
+0.0585415
+0.0598093
+0.0592729
+0.0583165
+0.0574277
+0.0566098
+0.0558658
+0.0551988
+0.0546116
+0.0541069
+0.0536868
+0.0533534
+0.0531084
+0.0529529
+0.0528878
+0.0529125
+0.0530111
+0.0531999
+0.0534778
+0.0538296
+0.0542472
+0.0547493
+0.0552897
+0.0559045
+0.0565974
+0.0573581
+0.0580551
+0.0588255
+0.0596664
+0.0605642
+0.0615225
+0.0625428
+0.0636223
+0.0647444
+0.0659192
+0.067145
+0.068419
+0.0697385
+0.0710564
+0.072345
+0.0736763
+0.0882773
+0.0869318
+0.0856151
+0.0843298
+0.0826145
+0.0807578
+0.0789182
+0.0770969
+0.0752736
+0.0734625
+0.0716725
+0.0699053
+0.0681628
+0.0664467
+0.0647593
+0.0631029
+0.0614799
+0.059893
+0.0583453
+0.0568398
+0.0553801
+0.0539699
+0.0526131
+0.0513108
+0.0500647
+0.048885
+0.0477766
+0.0467448
+0.0457945
+0.044931
+0.0441595
+0.0434847
+0.0429112
+0.0424432
+0.0420811
+0.0418116
+0.0416558
+0.0416148
+0.0416891
+0.041878
+0.04218
+0.0425927
+0.0430949
+0.0436977
+0.0439848
+0.0443414
+0.0447518
+0.0452646
+0.0458764
+0.0465832
+0.0473809
+0.048265
+0.049228
+0.0502522
+0.0512107
+0.0522377
+0.0533257
+0.0544551
+0.0556478
+0.056896
+0.0581908
+0.0579259
+0.056965
+0.0560548
+0.0552165
+0.0544536
+0.0537691
+0.0531661
+0.0526474
+0.0522156
+0.0518728
+0.0516207
+0.0514608
+0.0513938
+0.0514185
+0.05152
+0.0517142
+0.0519873
+0.0523279
+0.0527574
+0.053269
+0.0538177
+0.0544491
+0.0551391
+0.0557778
+0.0564943
+0.0572856
+0.0581444
+0.0590607
+0.060043
+0.0610881
+0.0621821
+0.0633287
+0.0645293
+0.065781
+0.0670796
+0.0683859
+0.069655
+0.0709692
+0.0723258
+0.0868035
+0.0854488
+0.0841128
+0.0828081
+0.0815375
+0.0798853
+0.0780029
+0.076137
+0.0742888
+0.0724596
+0.0706459
+0.0688524
+0.0670825
+0.0653381
+0.0636213
+0.0619344
+0.0602799
+0.0586606
+0.0570795
+0.0555397
+0.0540449
+0.0525989
+0.0512058
+0.0498668
+0.0485836
+0.047367
+0.0462223
+0.0451549
+0.0441705
+0.0432746
+0.042473
+0.041771
+0.0411736
+0.0406857
+0.0403078
+0.0400264
+0.0398635
+0.0398207
+0.0398984
+0.0400957
+0.040411
+0.0408416
+0.041365
+0.04179
+0.0420856
+0.0424534
+0.0428818
+0.0434167
+0.0440542
+0.0447898
+0.0456189
+0.0465364
+0.047526
+0.0484648
+0.049452
+0.0505102
+0.0516082
+0.0527743
+0.0540033
+0.0552791
+0.0566109
+0.0566179
+0.0556363
+0.0547226
+0.0538764
+0.0530942
+0.0523919
+0.0517729
+0.0512402
+0.0507964
+0.0504439
+0.0501847
+0.0500201
+0.0499512
+0.0499656
+0.05007
+0.0502529
+0.0505258
+0.0508763
+0.0513179
+0.0518322
+0.0523959
+0.0530083
+0.0535828
+0.0542399
+0.0549764
+0.0557855
+0.0566534
+0.0575917
+0.0585968
+0.0596579
+0.0607732
+0.061946
+0.063173
+0.0644491
+0.0657529
+0.0670003
+0.0682952
+0.069635
+0.0710144
+0.085342
+0.0839829
+0.0826373
+0.0813141
+0.0800226
+0.078768
+0.0771112
+0.0752232
+0.0733519
+0.0714989
+0.0696654
+0.067853
+0.0660572
+0.064285
+0.0625393
+0.0608224
+0.0591368
+0.0574853
+0.0558709
+0.0542969
+0.0527669
+0.0512849
+0.0498551
+0.0484788
+0.0471579
+0.0459035
+0.0447213
+0.0436172
+0.0425973
+0.0416676
+0.0408344
+0.0401037
+0.0394812
+0.038972
+0.0385773
+0.0382832
+0.0381129
+0.0380682
+0.0381494
+0.0383557
+0.0386852
+0.0391337
+0.0396761
+0.0399066
+0.040216
+0.0405958
+0.0410436
+0.0416022
+0.042267
+0.0430332
+0.0438955
+0.044847
+0.045753
+0.0466998
+0.0477281
+0.0487919
+0.0499277
+0.0511321
+0.0523888
+0.0537029
+0.0550728
+0.0553658
+0.0543616
+0.0534284
+0.0525664
+0.0517823
+0.0510717
+0.0504364
+0.0498894
+0.0494335
+0.0490712
+0.0488047
+0.0486355
+0.0485525
+0.0485613
+0.0486512
+0.0488378
+0.0491186
+0.049479
+0.04993
+0.0504383
+0.0509768
+0.0514808
+0.0520723
+0.0527481
+0.0534937
+0.0543099
+0.0552011
+0.0561636
+0.0571843
+0.0582646
+0.0594062
+0.0606054
+0.061859
+0.0631612
+0.0643852
+0.0656586
+0.0669795
+0.0683417
+0.0697412
+0.0839122
+0.0825296
+0.0811825
+0.079847
+0.0785379
+0.0772609
+0.0760238
+0.0743627
+0.0724693
+0.070593
+0.0687354
+0.066898
+0.0650823
+0.0632899
+0.0615163
+0.0597701
+0.0580539
+0.0563707
+0.0547234
+0.0531154
+0.0515504
+0.0500323
+0.0485657
+0.0471517
+0.0457925
+0.0444997
+0.0432792
+0.0421374
+0.0410807
+0.0401159
+0.0392498
+0.038489
+0.0378399
+0.0373083
+0.0368959
+0.0365882
+0.03641
+0.0363632
+0.0364482
+0.0366641
+0.0370086
+0.0374685
+0.0378479
+0.0380561
+0.0383805
+0.038773
+0.0392417
+0.0398255
+0.0405195
+0.0413181
+0.0422154
+0.0430921
+0.0439871
+0.0449711
+0.0460119
+0.0471128
+0.0482881
+0.0495235
+0.0508173
+0.0521711
+0.0535756
+0.0541733
+0.0531466
+0.0521917
+0.0513118
+0.0505083
+0.0497882
+0.0491462
+0.0485847
+0.0481164
+0.0477442
+0.0474702
+0.0472962
+0.0472078
+0.0471987
+0.0472897
+0.0474816
+0.0477676
+0.0481381
+0.0485776
+0.0490391
+0.0494836
+0.0500028
+0.0506115
+0.0512867
+0.0520454
+0.052884
+0.0537988
+0.0547743
+0.0558153
+0.0569217
+0.0580896
+0.0593154
+0.0605752
+0.0618094
+0.0630587
+0.0643584
+0.0657054
+0.0670893
+0.0684912
+0.0825109
+0.0811094
+0.0797384
+0.0784046
+0.0770802
+0.0757865
+0.0745257
+0.0733079
+0.0716428
+0.0697443
+0.0678634
+0.0660017
+0.0641607
+0.0623424
+0.0605487
+0.0587805
+0.0570347
+0.0553204
+0.0536409
+0.0519994
+0.0503998
+0.048846
+0.0473426
+0.0458909
+0.0444932
+0.0431615
+0.0419021
+0.0407216
+0.0396272
+0.0386261
+0.0377258
+0.0369336
+0.0362567
+0.0357016
+0.0352686
+0.0349466
+0.03476
+0.0347109
+0.0347999
+0.035026
+0.0353865
+0.0358596
+0.0360276
+0.0362436
+0.036584
+0.0369901
+0.0374811
+0.0380919
+0.0388169
+0.0396498
+0.0404934
+0.0413286
+0.042261
+0.0432751
+0.0443357
+0.0454773
+0.0466881
+0.0479583
+0.0492932
+0.0506839
+0.052112
+0.0530446
+0.0519955
+0.0510191
+0.0501194
+0.0492987
+0.0485607
+0.0478992
+0.0473228
+0.0468419
+0.0464595
+0.0461779
+0.045999
+0.0459072
+0.0458963
+0.0459899
+0.0461872
+0.0464685
+0.0468187
+0.0471015
+0.0474839
+0.0479634
+0.0485257
+0.0491527
+0.0498681
+0.0506504
+0.0515116
+0.0524366
+0.0534334
+0.0545
+0.0556052
+0.0567674
+0.0579891
+0.0592666
+0.0604973
+0.0617731
+0.0630993
+0.0644726
+0.06587
+0.0672853
+0.0810125
+0.0797207
+0.0783289
+0.0769706
+0.0756515
+0.0743396
+0.0730625
+0.07182
+0.0706235
+0.0689547
+0.0670517
+0.0651668
+0.0633015
+0.0614578
+0.0596375
+0.0578429
+0.0560765
+0.0543382
+0.0526273
+0.0509532
+0.0493196
+0.0477307
+0.046191
+0.044702
+0.0432659
+0.0418952
+0.0405965
+0.0393769
+0.038244
+0.0372057
+0.0362702
+0.0354455
+0.0347396
+0.0341598
+0.0337049
+0.0333678
+0.0331723
+0.0331209
+0.0332142
+0.033451
+0.0338279
+0.0340818
+0.0342507
+0.034475
+0.0348327
+0.0352533
+0.0357681
+0.0364076
+0.0371655
+0.0379697
+0.0387355
+0.0396077
+0.0405797
+0.041604
+0.0427062
+0.0438881
+0.0451308
+0.0464437
+0.047818
+0.0492318
+0.0507008
+0.0519836
+0.0509128
+0.0499151
+0.0489952
+0.0481574
+0.0474027
+0.0467216
+0.0461305
+0.0456371
+0.0452444
+0.0449552
+0.0447682
+0.0446655
+0.0446543
+0.0447505
+0.0449421
+0.045044
+0.0452324
+0.0455251
+0.0459206
+0.0464162
+0.0470007
+0.0476477
+0.0483768
+0.0491822
+0.0500706
+0.0510375
+0.0520788
+0.0531386
+0.0542653
+0.0554556
+0.0567055
+0.0579882
+0.0592371
+0.0605396
+0.0618921
+0.0632891
+0.0646895
+0.0661301
+0.0795398
+0.0782302
+0.076954
+0.075573
+0.074229
+0.0729261
+0.0716281
+0.0703688
+0.0691472
+0.0679742
+0.0663024
+0.0643956
+0.0625073
+0.0606394
+0.0587938
+0.0569726
+0.0551784
+0.0534136
+0.0516816
+0.0499812
+0.0483147
+0.0466916
+0.0451165
+0.0435846
+0.0421105
+0.0407009
+0.0393628
+0.0381037
+0.0369318
+0.0358555
+0.0348838
+0.0340255
+0.0332895
+0.032684
+0.0322143
+0.0318615
+0.0316567
+0.0316028
+0.0317006
+0.0319486
+0.0322075
+0.0323364
+0.0325187
+0.0327574
+0.0331337
+0.0335696
+0.0341098
+0.0347799
+0.035537
+0.0362218
+0.0370237
+0.0379354
+0.0389272
+0.0399832
+0.0411289
+0.0423412
+0.043628
+0.044983
+0.0463797
+0.047836
+0.0493466
+0.0508985
+0.0499027
+0.0488845
+0.0479448
+0.0470883
+0.0463194
+0.0456188
+0.0450133
+0.0445075
+0.0441048
+0.043808
+0.0436028
+0.0434988
+0.0434644
+0.0433709
+0.0433839
+0.0434901
+0.0436984
+0.0440014
+0.0444104
+0.0449227
+0.045522
+0.0461898
+0.0469389
+0.0477685
+0.0486827
+0.0496767
+0.0507414
+0.0518276
+0.0529821
+0.0542005
+0.0554676
+0.0567569
+0.0580323
+0.0593612
+0.06074
+0.0621368
+0.0635627
+0.0650282
+0.078095
+0.0767648
+0.0754725
+0.0742136
+0.0728447
+0.0715165
+0.0702316
+0.0689492
+0.0677096
+0.0665113
+0.0653645
+0.0636904
+0.0617806
+0.0598901
+0.0580206
+0.0561744
+0.0543538
+0.0525614
+0.0508002
+0.0490737
+0.0473855
+0.0457295
+0.0441175
+0.0425491
+0.0410377
+0.0395899
+0.038213
+0.0369147
+0.0357038
+0.0345893
+0.033581
+0.0326885
+0.0319217
+0.0312898
+0.0307997
+0.0304305
+0.030216
+0.0301595
+0.030262
+0.0304088
+0.0304999
+0.0306484
+0.030828
+0.0310891
+0.0314853
+0.0319474
+0.0325146
+0.0332056
+0.0338052
+0.0345244
+0.0353649
+0.0363175
+0.0373187
+0.038419
+0.0395975
+0.0408533
+0.0421849
+0.0435612
+0.045002
+0.0465015
+0.0480429
+0.0496302
+0.0489699
+0.0479319
+0.0469731
+0.0460986
+0.0453132
+0.0445965
+0.0439769
+0.043459
+0.0430465
+0.0427336
+0.0424831
+0.0421604
+0.0419498
+0.041853
+0.0418665
+0.0419765
+0.0422001
+0.0425232
+0.0429464
+0.0434759
+0.0440994
+0.0447884
+0.045561
+0.0464153
+0.0473556
+0.0483769
+0.0494639
+0.0505775
+0.0517597
+0.0529946
+0.0542891
+0.0555847
+0.0568864
+0.0582414
+0.0596358
+0.0610414
+0.0624923
+0.0639824
+0.076657
+0.0753305
+0.0740154
+0.0727417
+0.0715007
+0.0701471
+0.0688366
+0.0675687
+0.0663068
+0.0650892
+0.0639169
+0.0627991
+0.0611239
+0.0592123
+0.0573208
+0.0554513
+0.0536061
+0.0517878
+0.0499994
+0.0482443
+0.0465259
+0.0448376
+0.0431925
+0.0415978
+0.0400561
+0.0385715
+0.0371568
+0.0358203
+0.0345711
+0.0334189
+0.0323741
+0.0314474
+0.0306496
+0.0299909
+0.0294593
+0.0290731
+0.0288485
+0.0287893
+0.0288076
+0.0287622
+0.0288577
+0.0290275
+0.0292038
+0.0294796
+0.0298972
+0.0303836
+0.0309091
+0.0315055
+0.0321296
+0.0328854
+0.0337667
+0.0347263
+0.0357721
+0.03691
+0.0381284
+0.0394309
+0.0407832
+0.0422052
+0.0436909
+0.0452193
+0.0467998
+0.0484279
+0.0481189
+0.047062
+0.0460852
+0.0451935
+0.0443921
+0.0436602
+0.0430272
+0.0424923
+0.0418935
+0.041402
+0.0410217
+0.0407037
+0.0404856
+0.0403852
+0.0404036
+0.0405249
+0.0407565
+0.0410978
+0.0415354
+0.0420827
+0.0427354
+0.0434522
+0.0442487
+0.0451278
+0.0460944
+0.0471351
+0.0482212
+0.049366
+0.0505767
+0.0518518
+0.0531747
+0.0544754
+0.055803
+0.0571828
+0.0585756
+0.0600061
+0.0614814
+0.0629954
+0.0752106
+0.073904
+0.0725929
+0.0712947
+0.0700408
+0.0688087
+0.0674753
+0.0661843
+0.0649417
+0.0637055
+0.0624918
+0.0613182
+0.0601713
+0.0586087
+0.056697
+0.0548062
+0.0529386
+0.0510965
+0.0492831
+0.0475014
+0.0457551
+0.0440367
+0.0423606
+0.0407333
+0.039161
+0.0376505
+0.0362026
+0.0348295
+0.0335434
+0.0323546
+0.0312743
+0.030314
+0.0294855
+0.0287903
+0.0282254
+0.0278221
+0.0275873
+0.0273589
+0.0272396
+0.0271925
+0.0272926
+0.0274858
+0.0276579
+0.0279493
+0.028338
+0.028713
+0.0292477
+0.0298644
+0.0305193
+0.031314
+0.0322233
+0.0332035
+0.0342918
+0.0354649
+0.0367309
+0.0380499
+0.0394465
+0.0409128
+0.042434
+0.0440049
+0.0456221
+0.0472856
+0.0472821
+0.0461613
+0.045106
+0.0441266
+0.0432362
+0.042433
+0.0416923
+0.0410498
+0.0404309
+0.0399214
+0.0395269
+0.0392509
+0.0390715
+0.0389675
+0.0389865
+0.0391284
+0.0393793
+0.039736
+0.0401887
+0.040754
+0.0414277
+0.0421876
+0.043008
+0.043912
+0.0448789
+0.0459133
+0.0470271
+0.0481954
+0.0494313
+0.0507318
+0.0520851
+0.0534329
+0.0547816
+0.0561724
+0.0575793
+0.0590339
+0.0605329
+0.0620645
+0.073801
+0.0724689
+0.0711793
+0.0698854
+0.0686059
+0.0673733
+0.0661134
+0.0648254
+0.0635699
+0.0622874
+0.0610314
+0.0598293
+0.0586843
+0.0575483
+0.0561518
+0.054242
+0.0523542
+0.0504909
+0.0486549
+0.0468494
+0.0450775
+0.043332
+0.0416274
+0.0399703
+0.0383667
+0.0368237
+0.0353491
+0.0339513
+0.0326306
+0.0314073
+0.0302932
+0.0293008
+0.0284395
+0.0276949
+0.0271072
+0.0266177
+0.0261602
+0.0258806
+0.0257595
+0.0257138
+0.0258186
+0.0260373
+0.0262041
+0.0264742
+0.0266961
+0.0270938
+0.0276599
+0.0282948
+0.0289852
+0.0298208
+0.0307326
+0.0317589
+0.0328775
+0.0340796
+0.0353618
+0.0367299
+0.0381749
+0.0396804
+0.0412367
+0.0428471
+0.0444701
+0.0461081
+0.0458839
+0.0447281
+0.0436517
+0.0426468
+0.0417247
+0.0408994
+0.0401767
+0.0395282
+0.0389791
+0.0385086
+0.0380995
+0.0378131
+0.0376362
+0.0375777
+0.0376327
+0.0377796
+0.0380523
+0.0384283
+0.0389174
+0.039501
+0.0401957
+0.0409957
+0.0418441
+0.0427276
+0.0437032
+0.0447633
+0.0458864
+0.0470814
+0.0483459
+0.0496748
+0.0510595
+0.0524512
+0.0538214
+0.0552197
+0.0566502
+0.0581281
+0.0595637
+0.061037
+0.0724301
+0.0710724
+0.069757
+0.0684831
+0.0672117
+0.0659531
+0.0646809
+0.0633848
+0.0621234
+0.060901
+0.0596158
+0.0583846
+0.0572107
+0.0560979
+0.0549695
+0.053752
+0.0518513
+0.0499709
+0.0481148
+0.0462879
+0.0444939
+0.042728
+0.0409984
+0.0393147
+0.0376832
+0.036111
+0.0346061
+0.0331776
+0.0318248
+0.0305693
+0.0294235
+0.0284007
+0.0274994
+0.0267029
+0.0259145
+0.0252863
+0.0248042
+0.0245092
+0.0243853
+0.0243426
+0.0244523
+0.0246984
+0.0248061
+0.0248837
+0.0251196
+0.0255419
+0.0261416
+0.0268125
+0.02754
+0.0283769
+0.029322
+0.0303796
+0.0315099
+0.0327462
+0.0340786
+0.0354962
+0.0369761
+0.0385171
+0.0400689
+0.0416516
+0.0432854
+0.0449558
+0.0445191
+0.0433483
+0.0422469
+0.0412221
+0.0402758
+0.0394202
+0.0386698
+0.038031
+0.0374929
+0.0370327
+0.0366911
+0.0364462
+0.0362702
+0.0362095
+0.0362811
+0.0364844
+0.0367947
+0.0371917
+0.0377006
+0.0383146
+0.0390309
+0.039855
+0.0406987
+0.0416066
+0.042603
+0.0436718
+0.0448222
+0.0460449
+0.047337
+0.0486935
+0.0501055
+0.0515408
+0.0529345
+0.0542782
+0.0556328
+0.0570395
+0.0584944
+0.059994
+0.0709952
+0.0696164
+0.0682748
+0.0669779
+0.0657285
+0.0645255
+0.0632908
+0.0619677
+0.0606916
+0.05946
+0.0582482
+0.0569874
+0.0557842
+0.0546423
+0.0535658
+0.0524379
+0.0513751
+0.0495263
+0.0476529
+0.0458076
+0.043994
+0.0422161
+0.0404776
+0.038772
+0.0371167
+0.0355194
+0.0339883
+0.0325327
+0.0311519
+0.029859
+0.0286742
+0.0276111
+0.0265049
+0.025539
+0.0247227
+0.0240691
+0.023503
+0.0231113
+0.0229012
+0.022881
+0.0230476
+0.0233707
+0.0233079
+0.0233904
+0.0236413
+0.0240895
+0.0247244
+0.0254326
+0.0261632
+0.0270083
+0.0279843
+0.0290436
+0.030222
+0.0315088
+0.0328911
+0.0343385
+0.0357825
+0.0372957
+0.0388736
+0.0405031
+0.0421558
+0.0438514
+0.0432107
+0.0420035
+0.0408781
+0.0398415
+0.0388878
+0.0380096
+0.0372305
+0.036566
+0.0360114
+0.0355692
+0.0352503
+0.0350204
+0.0349266
+0.0349252
+0.0349995
+0.0352102
+0.0355301
+0.0359795
+0.0365313
+0.0371942
+0.037949
+0.038796
+0.0396414
+0.0405643
+0.0415702
+0.0426648
+0.0438417
+0.045091
+0.0464097
+0.0477925
+0.0492305
+0.0505993
+0.051867
+0.0531929
+0.0545745
+0.0560077
+0.0574887
+0.0589775
+0.0695003
+0.0681177
+0.0667534
+0.0654264
+0.0641467
+0.0629135
+0.0616901
+0.0605145
+0.0592922
+0.0580389
+0.0568145
+0.0556087
+0.0544084
+0.0532371
+0.0521315
+0.0510622
+0.0499701
+0.0489518
+0.047288
+0.0454279
+0.0435985
+0.0418039
+0.0400486
+0.0383383
+0.0366724
+0.0350495
+0.0334864
+0.0319969
+0.0305918
+0.0292578
+0.0279011
+0.0266505
+0.0255179
+0.0244995
+0.0235195
+0.0227092
+0.0220873
+0.0216699
+0.0214501
+0.0214285
+0.0216067
+0.0217877
+0.0219264
+0.0220142
+0.0222805
+0.0227556
+0.0234267
+0.024145
+0.024866
+0.0257394
+0.0267084
+0.027814
+0.0290423
+0.0303532
+0.0316742
+0.0330854
+0.0345778
+0.0361415
+0.0377592
+0.0394004
+0.041093
+0.0428307
+0.0419523
+0.0407322
+0.0395707
+0.0384988
+0.0375244
+0.0366529
+0.0358432
+0.0351516
+0.0345851
+0.0341402
+0.0338156
+0.0336309
+0.0335397
+0.0335847
+0.033753
+0.033989
+0.0343436
+0.0348083
+0.0354027
+0.0361071
+0.0368974
+0.0377921
+0.0386667
+0.0395996
+0.0406293
+0.0417487
+0.0429507
+0.0442251
+0.0455689
+0.0469297
+0.0481318
+0.0493804
+0.050686
+0.0520317
+0.0533947
+0.0548008
+0.0562447
+0.0577224
+0.0679933
+0.0666276
+0.0652604
+0.0639122
+0.0626017
+0.0613374
+0.0600819
+0.0588812
+0.0577155
+0.0565351
+0.0553654
+0.0541742
+0.0529884
+0.0518464
+0.0507405
+0.0496804
+0.048596
+0.0475519
+0.0465462
+0.0451514
+0.0433104
+0.0415033
+0.0397348
+0.0380103
+0.0363275
+0.0346832
+0.0330931
+0.0314927
+0.0299403
+0.0284721
+0.0270976
+0.025789
+0.0245061
+0.0233487
+0.0223182
+0.0214626
+0.0208034
+0.0203597
+0.0201332
+0.0200661
+0.0200046
+0.0201821
+0.0205901
+0.0207782
+0.0210602
+0.0215622
+0.0222693
+0.022943
+0.0236877
+0.0245424
+0.0255552
+0.0266435
+0.0278068
+0.0290887
+0.0304646
+0.0319292
+0.0334733
+0.035069
+0.0366998
+0.0383864
+0.0401217
+0.0418997
+0.0407061
+0.0394693
+0.0383179
+0.0372367
+0.0362284
+0.0353273
+0.0345184
+0.0338013
+0.0332135
+0.0327618
+0.0324118
+0.0321902
+0.0321168
+0.0321927
+0.0324168
+0.0327616
+0.0331919
+0.0337049
+0.0343418
+0.0350812
+0.0359188
+0.0368462
+0.0377803
+0.0387346
+0.0397867
+0.0409291
+0.0421218
+0.0433391
+0.044503
+0.0456546
+0.0468593
+0.0481217
+0.0494244
+0.0507516
+0.0521308
+0.0535445
+0.0550074
+0.0564938
+0.0664868
+0.0651191
+0.0637717
+0.0624251
+0.0610961
+0.0598
+0.0585115
+0.057278
+0.0561028
+0.0549485
+0.0537963
+0.0526762
+0.0515213
+0.0503708
+0.0492702
+0.0482009
+0.0472005
+0.0461499
+0.0451533
+0.0441996
+0.0430431
+0.0412464
+0.0394895
+0.0376765
+0.0358972
+0.0341657
+0.0324897
+0.0308781
+0.0293295
+0.0278351
+0.0263071
+0.024861
+0.0235275
+0.0223244
+0.0212751
+0.0203758
+0.0196803
+0.0192107
+0.0188837
+0.0185704
+0.0185039
+0.0186957
+0.0191263
+0.0196615
+0.020006
+0.0205338
+0.0211909
+0.0217045
+0.0224212
+0.0233039
+0.0242973
+0.0253833
+0.0266017
+0.0279345
+0.029362
+0.030879
+0.0324517
+0.0340669
+0.0357435
+0.0374731
+0.0392488
+0.0408674
+0.0395379
+0.0382676
+0.037079
+0.0359845
+0.0349845
+0.0340243
+0.0331716
+0.0324385
+0.0318344
+0.0313629
+0.031033
+0.0308268
+0.0307502
+0.0308294
+0.0310634
+0.0314485
+0.0319564
+0.032598
+0.0333167
+0.0340979
+0.0349803
+0.0359747
+0.0368703
+0.0377662
+0.0387494
+0.039829
+0.0409833
+0.0421516
+0.0432426
+0.0444007
+0.0456077
+0.0468594
+0.0481592
+0.049496
+0.0508867
+0.0523143
+0.0537698
+0.0552632
+0.0650048
+0.0636197
+0.0622663
+0.0609383
+0.0596001
+0.0582733
+0.0569821
+0.0557147
+0.0545058
+0.0533596
+0.0522128
+0.0510933
+0.0500237
+0.0489169
+0.0478107
+0.0467573
+0.0457302
+0.044779
+0.0437711
+0.0428424
+0.0419506
+0.0406531
+0.0388694
+0.0371293
+0.0354278
+0.0337241
+0.032025
+0.0303889
+0.0288139
+0.0271708
+0.0255863
+0.024097
+0.0227187
+0.0214703
+0.0203815
+0.0194754
+0.0187468
+0.0181209
+0.0175514
+0.0172208
+0.0171491
+0.0173559
+0.0178121
+0.0183857
+0.0189373
+0.019373
+0.0199014
+0.0204474
+0.0211991
+0.0221111
+0.0231169
+0.0242558
+0.0255201
+0.0268974
+0.028377
+0.0299263
+0.0315187
+0.0331794
+0.0348986
+0.0366681
+0.038481
+0.0396802
+0.0383327
+0.0370658
+0.0358665
+0.034734
+0.033706
+0.0327605
+0.0319119
+0.0311496
+0.0305253
+0.03004
+0.0297019
+0.029504
+0.0294555
+0.0295658
+0.0298096
+0.030207
+0.0307291
+0.0313958
+0.0321979
+0.0331258
+0.0341165
+0.034915
+0.0356966
+0.0365783
+0.0375671
+0.038655
+0.0398337
+0.0409173
+0.0420051
+0.0431368
+0.0443364
+0.0456097
+0.0469121
+0.0482646
+0.0496492
+0.0510844
+0.0525425
+0.0540245
+0.0635611
+0.0621439
+0.0607726
+0.0594378
+0.0581185
+0.0567656
+0.0554569
+0.0541948
+0.0529513
+0.0517687
+0.0506381
+0.049519
+0.048433
+0.0474033
+0.0463716
+0.0452926
+0.0442684
+0.0432987
+0.0423872
+0.0414683
+0.040627
+0.0398062
+0.0383404
+0.0366004
+0.0348846
+0.0332248
+0.0316239
+0.0300183
+0.0283485
+0.0266542
+0.025037
+0.023513
+0.0220983
+0.0208127
+0.0196876
+0.0187518
+0.0178571
+0.0170124
+0.0164045
+0.0160503
+0.0159734
+0.0161952
+0.0166675
+0.0172736
+0.0178117
+0.0182544
+0.0187797
+0.0193573
+0.0201204
+0.021042
+0.0220912
+0.0232683
+0.0245765
+0.0260038
+0.0274932
+0.0290615
+0.0307062
+0.0324154
+0.0341735
+0.0359787
+0.0378246
+0.0384969
+0.0371265
+0.035817
+0.0345967
+0.0334754
+0.0324421
+0.0314815
+0.0306443
+0.0299379
+0.0293161
+0.0288164
+0.0284638
+0.028277
+0.0282333
+0.0283524
+0.028639
+0.0290666
+0.0296132
+0.0303044
+0.0311348
+0.0320753
+0.0329833
+0.0337166
+0.0345099
+0.0354211
+0.0363936
+0.0374661
+0.0386155
+0.0396423
+0.0407093
+0.0418638
+0.0430989
+0.0443694
+0.045662
+0.0470119
+0.0483934
+0.0498172
+0.0512776
+0.0527751
+0.0621353
+0.0607112
+0.0593068
+0.0579512
+0.0566136
+0.0552993
+0.0539594
+0.0526554
+0.0514075
+0.0502065
+0.0490422
+0.0479439
+0.0468752
+0.0458263
+0.0448439
+0.0438612
+0.0428027
+0.0418323
+0.0409323
+0.0400868
+0.039248
+0.0383257
+0.0375084
+0.0360951
+0.0344087
+0.0327778
+0.0311603
+0.0296091
+0.0280255
+0.0263104
+0.0246708
+0.0231225
+0.0216824
+0.0203706
+0.0192196
+0.0180893
+0.0169915
+0.0161031
+0.0154761
+0.0151013
+0.0150195
+0.0152099
+0.0154755
+0.0159537
+0.0166012
+0.01726
+0.017748
+0.018437
+0.0192075
+0.0201144
+0.0212096
+0.0224387
+0.0237684
+0.025188
+0.0267121
+0.0283237
+0.0300088
+0.0317557
+0.0335546
+0.0353978
+0.0372786
+0.0374009
+0.035995
+0.0346617
+0.0333992
+0.0322363
+0.0311841
+0.0302539
+0.0293823
+0.0286449
+0.0280482
+0.0276129
+0.027316
+0.0271509
+0.0271244
+0.0272482
+0.0275463
+0.0279992
+0.0285943
+0.0293279
+0.0300907
+0.0309018
+0.0318135
+0.0324858
+0.0332811
+0.0341757
+0.0351795
+0.0362879
+0.037358
+0.0383714
+0.0394728
+0.0406482
+0.0418511
+0.0430968
+0.0443909
+0.0457279
+0.0471116
+0.0485412
+0.0500206
+0.0515254
+0.0605677
+0.0592765
+0.0578869
+0.0564972
+0.0551411
+0.0538072
+0.0524685
+0.0511235
+0.0498372
+0.0486156
+0.0474622
+0.0463487
+0.0452935
+0.0442822
+0.0432823
+0.0423564
+0.0413803
+0.0403956
+0.0394877
+0.0386695
+0.037712
+0.0367774
+0.0359248
+0.0351881
+0.0338996
+0.0321903
+0.0305425
+0.0289668
+0.0274421
+0.0259934
+0.0244636
+0.0229015
+0.0214496
+0.0201319
+0.0187919
+0.0174819
+0.0163434
+0.0154178
+0.0147616
+0.0142551
+0.0139039
+0.0138934
+0.0141846
+0.0147402
+0.0154585
+0.0163974
+0.0169109
+0.0176321
+0.0184364
+0.0193793
+0.0205122
+0.0217323
+0.0230693
+0.0245295
+0.026092
+0.0277397
+0.0294582
+0.0312359
+0.0330631
+0.0349322
+0.036836
+0.0363039
+0.034907
+0.0335751
+0.0322834
+0.0310801
+0.0299887
+0.0290219
+0.0281924
+0.0274658
+0.026843
+0.0263878
+0.0260769
+0.0259445
+0.0259966
+0.0262323
+0.0265644
+0.0270425
+0.0276709
+0.0282899
+0.0289364
+0.0297167
+0.0305454
+0.031274
+0.0320993
+0.0330254
+0.0340631
+0.0351389
+0.036102
+0.0371323
+0.0382185
+0.0393439
+0.0405498
+0.0418052
+0.0431
+0.0444442
+0.0458465
+0.0472815
+0.0487704
+0.0503062
+0.0590318
+0.0577126
+0.0564429
+0.0550873
+0.0537079
+0.0523475
+0.0510221
+0.04964
+0.0483152
+0.0470542
+0.0458631
+0.0447409
+0.0436677
+0.0426587
+0.0417404
+0.0408149
+0.0399308
+0.0389608
+0.0380362
+0.0370531
+0.0361386
+0.0352606
+0.0344079
+0.033638
+0.0329958
+0.0316541
+0.0299798
+0.0283728
+0.0268447
+0.0253803
+0.0240169
+0.0227451
+0.0214217
+0.0199116
+0.0184358
+0.0171137
+0.0159719
+0.0148738
+0.013906
+0.0131887
+0.0128083
+0.0127969
+0.0131334
+0.0137644
+0.0145479
+0.0155073
+0.0163147
+0.017031
+0.017891
+0.0188428
+0.0199394
+0.0211931
+0.0225622
+0.0240531
+0.0256447
+0.0273187
+0.0290566
+0.0308512
+0.0326942
+0.0345777
+0.0364955
+0.035254
+0.0338137
+0.0324575
+0.0311958
+0.0300107
+0.0289022
+0.0278977
+0.0270338
+0.0263243
+0.025715
+0.0252762
+0.0249689
+0.0248305
+0.024885
+0.0251311
+0.0255632
+0.0261048
+0.0265337
+0.0271053
+0.0277644
+0.0285346
+0.0293511
+0.0300941
+0.0309196
+0.0318469
+0.0328908
+0.0339153
+0.0348385
+0.0358174
+0.0368828
+0.038018
+0.0392361
+0.0405107
+0.041821
+0.0431757
+0.0445871
+0.0460589
+0.0475422
+0.0489981
+0.0575383
+0.0561841
+0.0548839
+0.0536386
+0.0522908
+0.0509299
+0.0495901
+0.0482082
+0.0468455
+0.0455446
+0.044313
+0.0431575
+0.0420718
+0.0410456
+0.0400903
+0.0392342
+0.0383977
+0.0374886
+0.0364321
+0.035442
+0.0345323
+0.0336965
+0.0329181
+0.0321555
+0.0314831
+0.0307276
+0.029541
+0.0279195
+0.026376
+0.0249212
+0.0235467
+0.0222954
+0.0211135
+0.0198042
+0.0183197
+0.0168604
+0.015417
+0.0141512
+0.0131312
+0.0124147
+0.0120104
+0.0119983
+0.012342
+0.0130143
+0.0138752
+0.014878
+0.0159524
+0.0165806
+0.0174552
+0.0184047
+0.019547
+0.0208391
+0.0222445
+0.0237473
+0.0253506
+0.0270364
+0.0287903
+0.0306006
+0.0324578
+0.0343543
+0.0357418
+0.034227
+0.0327835
+0.0314122
+0.0301278
+0.0289304
+0.0278214
+0.0268456
+0.0259851
+0.0252661
+0.0246617
+0.0242038
+0.0239384
+0.0238314
+0.023888
+0.0241442
+0.0245935
+0.0249453
+0.0254073
+0.0259594
+0.0266149
+0.0273595
+0.0282062
+0.0289208
+0.0297369
+0.0306691
+0.0317254
+0.032612
+0.0335061
+0.0344918
+0.035566
+0.0367154
+0.0379469
+0.0392317
+0.0405548
+0.0419485
+0.0433709
+0.0448123
+0.0462425
+0.0477045
+0.0560587
+0.0546959
+0.0533594
+0.0520807
+0.0508644
+0.0495079
+0.0481613
+0.046783
+0.0454185
+0.0440917
+0.0428188
+0.0416219
+0.0405076
+0.0394654
+0.0384942
+0.0376018
+0.0368182
+0.0359578
+0.0348549
+0.033858
+0.0329262
+0.032111
+0.0313704
+0.0306567
+0.0300414
+0.0292731
+0.0283204
+0.0275095
+0.0260529
+0.024579
+0.0232185
+0.0219901
+0.020852
+0.0197774
+0.0181363
+0.0165197
+0.0150436
+0.0137435
+0.0126908
+0.0119505
+0.0115373
+0.0115247
+0.0118773
+0.0125745
+0.0135276
+0.0145544
+0.0155656
+0.0164
+0.0172416
+0.0181953
+0.0193511
+0.020656
+0.0220912
+0.0236248
+0.0252359
+0.0269289
+0.0286893
+0.0305056
+0.0323682
+0.0342697
+0.0347876
+0.0332594
+0.0318054
+0.0304018
+0.0290956
+0.0278886
+0.0267743
+0.0257957
+0.0249573
+0.0242112
+0.0236236
+0.0232285
+0.0229982
+0.0228886
+0.0229881
+0.0232942
+0.023484
+0.0238027
+0.0242336
+0.0247478
+0.0253585
+0.0261391
+0.0270262
+0.0277475
+0.0286056
+0.0295453
+0.030524
+0.0313038
+0.032187
+0.0331813
+0.0342711
+0.035452
+0.0367185
+0.0380028
+0.0393317
+0.0406924
+0.0421034
+0.043499
+0.0449414
+0.0464392
+0.0546075
+0.0532135
+0.0518745
+0.0505622
+0.0493084
+0.0480382
+0.0466545
+0.0453291
+0.0440015
+0.0426669
+0.0413742
+0.0401412
+0.0389913
+0.0379208
+0.036935
+0.0360286
+0.0352101
+0.0343991
+0.0333329
+0.0322891
+0.0313637
+0.0305114
+0.0297913
+0.0291649
+0.0285528
+0.0277832
+0.0268874
+0.0260441
+0.0253501
+0.0244242
+0.0230598
+0.0217963
+0.0206737
+0.0194743
+0.018053
+0.0164283
+0.0149427
+0.01364
+0.0125863
+0.0118054
+0.0113788
+0.011366
+0.0117261
+0.0124094
+0.0131296
+0.0141181
+0.0151225
+0.0162964
+0.0172674
+0.0182484
+0.0194011
+0.0207028
+0.022135
+0.0236835
+0.0253019
+0.026993
+0.0287516
+0.0305659
+0.0324262
+0.0343249
+0.0339137
+0.0323517
+0.0308621
+0.0294415
+0.0281111
+0.0268854
+0.0257647
+0.0247458
+0.023884
+0.0231911
+0.0226441
+0.022246
+0.0219992
+0.0219692
+0.0221568
+0.0221186
+0.0222761
+0.0225686
+0.0230212
+0.0235213
+0.0241628
+0.0249806
+0.0259024
+0.0265383
+0.0273353
+0.0282801
+0.0292412
+0.0300143
+0.0309234
+0.0319379
+0.0330571
+0.034268
+0.0354964
+0.0367399
+0.0380634
+0.0394183
+0.0407957
+0.042221
+0.0437013
+0.0452393
+0.053151
+0.0517313
+0.0503529
+0.0490338
+0.0477787
+0.0465772
+0.0451927
+0.0438345
+0.042534
+0.0412625
+0.0399633
+0.03871
+0.0375174
+0.036417
+0.0354156
+0.0344974
+0.0336677
+0.0327461
+0.0317658
+0.0307945
+0.0298227
+0.0289843
+0.0282304
+0.0276104
+0.0271224
+0.0262788
+0.0254243
+0.0246056
+0.0239066
+0.0232782
+0.0227935
+0.0218041
+0.0204634
+0.019223
+0.0181349
+0.0166088
+0.015141
+0.013857
+0.012821
+0.0120554
+0.011638
+0.011585
+0.0117192
+0.0121229
+0.0127945
+0.0134679
+0.0144453
+0.0156699
+0.0170191
+0.0183241
+0.0196267
+0.0209333
+0.0223666
+0.0238893
+0.0255075
+0.0272058
+0.0289515
+0.0307542
+0.0326044
+0.034272
+0.0328289
+0.0314277
+0.0299993
+0.0285645
+0.0271995
+0.0259393
+0.0248088
+0.0237943
+0.0228967
+0.0221797
+0.0216542
+0.0212991
+0.0211293
+0.0210049
+0.0209333
+0.0209352
+0.0210876
+0.0213952
+0.0218585
+0.0223601
+0.023034
+0.0238905
+0.0245769
+0.0252472
+0.0260756
+0.027031
+0.027989
+0.0287955
+0.0297157
+0.0307539
+0.0318759
+0.0330369
+0.0342279
+0.035483
+0.0367918
+0.0381436
+0.0395396
+0.0409997
+0.0425226
+0.0440958
+0.0517084
+0.050271
+0.0488822
+0.0475222
+0.0462261
+0.0449993
+0.0437819
+0.0423827
+0.0410527
+0.0397838
+0.0385779
+0.0373139
+0.0361152
+0.0349714
+0.0339285
+0.0329972
+0.0321087
+0.0311327
+0.0301276
+0.0292236
+0.0283592
+0.0274846
+0.0267525
+0.026103
+0.0256094
+0.0248213
+0.0239777
+0.0231466
+0.0224802
+0.0218853
+0.0214257
+0.0210636
+0.0203444
+0.0190962
+0.0180282
+0.0170247
+0.0156217
+0.0143948
+0.0133624
+0.0126121
+0.0121491
+0.0117486
+0.0117497
+0.0120219
+0.0123542
+0.0130508
+0.0140577
+0.0153138
+0.0167398
+0.0180403
+0.0194457
+0.020986
+0.0225638
+0.0241874
+0.0258825
+0.0275579
+0.0293012
+0.0310933
+0.0329269
+0.0331537
+0.0316596
+0.0302505
+0.0289388
+0.0276172
+0.026353
+0.0251341
+0.0239656
+0.0229336
+0.0220437
+0.0213223
+0.0207834
+0.0203858
+0.0199985
+0.0198138
+0.0197414
+0.019695
+0.0198258
+0.0201948
+0.0207134
+0.0212644
+0.02197
+0.0227964
+0.0233125
+0.0239744
+0.0247801
+0.0257254
+0.0268036
+0.0276483
+0.028545
+0.0295676
+0.0306339
+0.031773
+0.0329799
+0.0342365
+0.0355629
+0.0369234
+0.038358
+0.0398614
+0.0414141
+0.0430171
+0.050231
+0.0488416
+0.0474185
+0.0460557
+0.0447269
+0.0434486
+0.0421967
+0.0409783
+0.0396156
+0.0383149
+0.0370882
+0.0359376
+0.0347381
+0.0335694
+0.0324904
+0.0314921
+0.030568
+0.0295527
+0.0285262
+0.0276049
+0.0267918
+0.0260104
+0.0253102
+0.024698
+0.0241781
+0.0233825
+0.0225444
+0.0217448
+0.0210623
+0.0205071
+0.0200202
+0.0196526
+0.0194372
+0.0192094
+0.0181486
+0.0172954
+0.0161925
+0.0150454
+0.0139054
+0.0129732
+0.0123631
+0.0121031
+0.0118551
+0.0118694
+0.0122451
+0.0129476
+0.013962
+0.0151452
+0.0163121
+0.0176568
+0.0191145
+0.0206901
+0.0223147
+0.0239543
+0.0256497
+0.027306
+0.0290297
+0.0308127
+0.0326454
+0.0321459
+0.0306027
+0.0291426
+0.0277458
+0.0264294
+0.0251659
+0.0239922
+0.0229681
+0.0220829
+0.0212446
+0.0204826
+0.0197154
+0.0191402
+0.0188041
+0.0185641
+0.0184299
+0.0184583
+0.0185985
+0.0189885
+0.019502
+0.0201256
+0.0209029
+0.0215856
+0.022046
+0.0227093
+0.0235481
+0.0245265
+0.0256552
+0.0264771
+0.0273536
+0.028318
+0.0293925
+0.0305535
+0.0317561
+0.0330369
+0.0343875
+0.0357897
+0.0372666
+0.0387945
+0.0403682
+0.0419526
+0.0487104
+0.0473421
+0.0459867
+0.0445801
+0.0432388
+0.0419425
+0.0406544
+0.0394316
+0.0382126
+0.0369012
+0.035636
+0.0344593
+0.0333171
+0.0321489
+0.0310373
+0.0300187
+0.0291054
+0.0280242
+0.0269613
+0.0260059
+0.0251847
+0.0244923
+0.0238241
+0.0233431
+0.0227237
+0.0218787
+0.0211088
+0.0204033
+0.0197199
+0.0191532
+0.0186353
+0.018348
+0.0181942
+0.0180889
+0.0181559
+0.0175314
+0.0167407
+0.0154725
+0.0143805
+0.0135145
+0.01293
+0.0124442
+0.0120665
+0.0120807
+0.0124853
+0.0131904
+0.0139892
+0.014943
+0.0161246
+0.0174837
+0.0189987
+0.0205878
+0.0222582
+0.0238083
+0.0254238
+0.0270918
+0.0288283
+0.030623
+0.0323823
+0.0312595
+0.0296443
+0.0280762
+0.0265963
+0.02522
+0.0239653
+0.0228521
+0.021792
+0.0208902
+0.0201869
+0.0193404
+0.0185981
+0.0179874
+0.0175786
+0.0173077
+0.0171699
+0.0171956
+0.0173459
+0.0177672
+0.0183801
+0.0190355
+0.0198095
+0.0203789
+0.020866
+0.0215656
+0.0224316
+0.0234563
+0.0244296
+0.0251822
+0.0260816
+0.0270798
+0.028195
+0.0293778
+0.0306047
+0.031901
+0.0332748
+0.0347325
+0.0362472
+0.0377509
+0.0393192
+0.0409446
+0.0472378
+0.0458311
+0.0444813
+0.0431387
+0.0417511
+0.0404346
+0.0391633
+0.0379068
+0.0367197
+0.0355018
+0.0342519
+0.0330306
+0.0319132
+0.0307726
+0.0296433
+0.0285909
+0.0275734
+0.0264983
+0.02544
+0.0244775
+0.0236211
+0.0229207
+0.0223723
+0.0218594
+0.0213051
+0.0204207
+0.0196376
+0.0189156
+0.018299
+0.0177416
+0.0172981
+0.017027
+0.0169025
+0.0168189
+0.0169334
+0.0171141
+0.0171552
+0.0161702
+0.0151287
+0.0143394
+0.0136912
+0.013019
+0.0126585
+0.012672
+0.0130583
+0.0134016
+0.014057
+0.0150066
+0.0161985
+0.0175721
+0.0190852
+0.0206637
+0.0221516
+0.0237282
+0.0253799
+0.0270539
+0.0287926
+0.0304433
+0.0321202
+0.0304306
+0.0287387
+0.0271183
+0.025583
+0.0241491
+0.0228356
+0.0216644
+0.0206599
+0.0197902
+0.0190463
+0.0182943
+0.0174558
+0.0168117
+0.0163432
+0.0160958
+0.0159818
+0.0159386
+0.0161583
+0.0166656
+0.0172274
+0.0179191
+0.0187602
+0.0193459
+0.0198582
+0.0205634
+0.0214541
+0.022427
+0.0231671
+0.0239431
+0.0248501
+0.0258704
+0.0269771
+0.0281824
+0.0294132
+0.0307421
+0.0321654
+0.0336616
+0.0351257
+0.0366611
+0.0382552
+0.0398876
+0.0457706
+0.0443708
+0.0429823
+0.0416545
+0.0403276
+0.0389631
+0.0376766
+0.0364257
+0.0351995
+0.0340274
+0.0328427
+0.0316724
+0.0305175
+0.0294676
+0.0282904
+0.0272037
+0.0260773
+0.0249241
+0.0238948
+0.0229388
+0.0221115
+0.021416
+0.0208721
+0.0205027
+0.0198742
+0.0190245
+0.0181929
+0.0174875
+0.0168733
+0.0163492
+0.0159807
+0.0157569
+0.0156408
+0.015561
+0.0157346
+0.016015
+0.0164232
+0.0169781
+0.016134
+0.0151764
+0.0144801
+0.0138525
+0.0135143
+0.0135104
+0.0135077
+0.0138151
+0.0144519
+0.015377
+0.0165423
+0.0178895
+0.0192392
+0.0206967
+0.022238
+0.0238292
+0.025484
+0.0270489
+0.0286683
+0.0303231
+0.0314708
+0.0297033
+0.0279755
+0.0263084
+0.0247229
+0.0232359
+0.0218676
+0.0206416
+0.0195847
+0.0187254
+0.0180706
+0.0171702
+0.0164418
+0.015699
+0.0152185
+0.0149555
+0.0148277
+0.0148477
+0.0150856
+0.0155945
+0.0161496
+0.0169244
+0.0178588
+0.0184747
+0.0190104
+0.0197338
+0.0206483
+0.0211962
+0.0219422
+0.0227624
+0.0236724
+0.024695
+0.0258159
+0.0270494
+0.0283184
+0.0296823
+0.0310907
+0.0325241
+0.0340127
+0.03557
+0.0371913
+0.0388501
+0.0443123
+0.0428731
+0.0414906
+0.040159
+0.0388534
+0.0375617
+0.0362254
+0.0349755
+0.0337402
+0.0325586
+0.0313882
+0.0302525
+0.0291717
+0.0281212
+0.026956
+0.0258146
+0.0246688
+0.0234487
+0.022352
+0.0214132
+0.0206004
+0.0199175
+0.019415
+0.0190685
+0.0185251
+0.0175708
+0.0167662
+0.0161357
+0.0155075
+0.0150008
+0.0146633
+0.014521
+0.0144692
+0.014373
+0.0145483
+0.0148721
+0.0153833
+0.0160412
+0.0168038
+0.0160234
+0.0153656
+0.0149629
+0.0144651
+0.0141527
+0.014176
+0.0145291
+0.0151362
+0.0160214
+0.017023
+0.0181499
+0.0194521
+0.020886
+0.0223342
+0.0238661
+0.0253757
+0.0269789
+0.028611
+0.030186
+0.0304586
+0.029096
+0.0273462
+0.0256421
+0.0240126
+0.0224787
+0.0210613
+0.0197854
+0.01868
+0.0177473
+0.0167668
+0.0159043
+0.0151978
+0.0146238
+0.0141636
+0.0137778
+0.0136405
+0.0136456
+0.0139118
+0.0143979
+0.0151146
+0.0158766
+0.0168459
+0.0177602
+0.0182807
+0.0190266
+0.0194947
+0.0200741
+0.0207946
+0.0216006
+0.0225434
+0.0235662
+0.0246985
+0.0258879
+0.0271998
+0.0285622
+0.0299541
+0.0314233
+0.0329574
+0.034523
+0.0361386
+0.0378038
+0.042888
+0.0414172
+0.0400058
+0.0386403
+0.0373342
+0.036047
+0.0348048
+0.0335506
+0.0323457
+0.0311315
+0.0300053
+0.0288405
+0.0277665
+0.026796
+0.0257285
+0.0245411
+0.023214
+0.0220138
+0.0209131
+0.0199116
+0.0190703
+0.0184521
+0.0179624
+0.0176914
+0.0171402
+0.0161527
+0.0153661
+0.0147748
+0.0142345
+0.0138072
+0.0134577
+0.0132872
+0.0132745
+0.013236
+0.0134156
+0.0138126
+0.0144752
+0.0151786
+0.0159914
+0.0163533
+0.0163596
+0.0157728
+0.0153551
+0.0150886
+0.0151105
+0.0154462
+0.0159117
+0.0165895
+0.0175168
+0.0186246
+0.019784
+0.0210808
+0.0224856
+0.0238818
+0.0253905
+0.0268131
+0.0281769
+0.0284794
+0.0282746
+0.0280282
+0.0263932
+0.0247693
+0.0232081
+0.021635
+0.0201607
+0.0188239
+0.0175976
+0.0164672
+0.0154049
+0.0144804
+0.0138173
+0.013229
+0.0128325
+0.0124977
+0.0123437
+0.0123158
+0.0126326
+0.0131351
+0.0139514
+0.0148014
+0.0157804
+0.0167718
+0.0176162
+0.0179819
+0.0183326
+0.0188975
+0.019602
+0.0203812
+0.0212867
+0.0223371
+0.0234816
+0.0247298
+0.0261
+0.0274432
+0.0288568
+0.0303318
+0.03187
+0.0334646
+0.0350813
+0.0367575
+0.0414753
+0.0399951
+0.0385505
+0.0371416
+0.0358004
+0.0345259
+0.0332827
+0.0320911
+0.0309188
+0.0297458
+0.0286205
+0.0275155
+0.0264107
+0.0254155
+0.0245597
+0.0232932
+0.0218791
+0.0206013
+0.019459
+0.0184991
+0.0176342
+0.0169637
+0.0165508
+0.0163067
+0.0157464
+0.0147711
+0.0140161
+0.0134735
+0.0129833
+0.0125858
+0.0123481
+0.0122015
+0.0122145
+0.0121689
+0.0123789
+0.0129521
+0.0136555
+0.0144927
+0.0150089
+0.0154266
+0.0154066
+0.0154492
+0.0156989
+0.0160296
+0.0162129
+0.0163081
+0.0166849
+0.0173324
+0.0182206
+0.0191256
+0.0202283
+0.0214543
+0.0227036
+0.0239577
+0.0250952
+0.026366
+0.0267139
+0.0263136
+0.0260917
+0.0260528
+0.0252002
+0.0236124
+0.0220888
+0.0206454
+0.019118
+0.0177143
+0.0164282
+0.0152068
+0.0140671
+0.0131404
+0.0124546
+0.0119149
+0.0114125
+0.0110935
+0.0111318
+0.0112585
+0.0115214
+0.0120702
+0.0128688
+0.0136386
+0.0146544
+0.0157673
+0.0164264
+0.0168509
+0.0172852
+0.0177335
+0.0183615
+0.0191883
+0.0201286
+0.0211875
+0.0223744
+0.0236983
+0.0249969
+0.0263242
+0.0277612
+0.0292521
+0.0307785
+0.0323812
+0.0340494
+0.035774
+0.0401083
+0.0386008
+0.0371352
+0.035708
+0.0343175
+0.033007
+0.0317715
+0.0305823
+0.0294505
+0.0283419
+0.0272137
+0.0261258
+0.0251076
+0.0241256
+0.0232223
+0.0221689
+0.020678
+0.0193209
+0.0181123
+0.0170796
+0.0162422
+0.0156062
+0.0151479
+0.0149872
+0.0143276
+0.0134705
+0.0126768
+0.0121869
+0.0117144
+0.0113888
+0.0112452
+0.0111157
+0.0111054
+0.0112286
+0.0115289
+0.0121535
+0.0129367
+0.013787
+0.0140997
+0.0144381
+0.0143784
+0.0144619
+0.014777
+0.0151736
+0.0158231
+0.0164563
+0.017123
+0.017904
+0.0185581
+0.0193084
+0.0202642
+0.0213068
+0.0223161
+0.0234869
+0.0247879
+0.0252067
+0.0245877
+0.0241522
+0.0239103
+0.0238678
+0.0239946
+0.0224435
+0.0208759
+0.0194014
+0.017938
+0.0165777
+0.0152168
+0.0139587
+0.0127899
+0.0118386
+0.0111587
+0.0105469
+0.0100882
+0.00980609
+0.0099088
+0.0100591
+0.0104401
+0.0109684
+0.0117168
+0.0126305
+0.013654
+0.0147146
+0.0153602
+0.015724
+0.0160885
+0.0165672
+0.017149
+0.0179593
+0.0189571
+0.0200385
+0.0212604
+0.0225616
+0.0238232
+0.0252124
+0.0266819
+0.0281772
+0.0297586
+0.0314134
+0.0331227
+0.0348517
+0.0387317
+0.0372175
+0.0357471
+0.0343168
+0.0328969
+0.0315348
+0.0302647
+0.0290778
+0.0279336
+0.0268284
+0.0257755
+0.0246738
+0.0236972
+0.0228405
+0.021904
+0.0209952
+0.0196302
+0.0181958
+0.0169208
+0.0157963
+0.0149056
+0.0142322
+0.0138359
+0.0137242
+0.0128955
+0.0121013
+0.0113675
+0.010818
+0.0104137
+0.0102102
+0.0101856
+0.0101005
+0.0100601
+0.0102397
+0.0107509
+0.0113379
+0.0121821
+0.0124562
+0.0128959
+0.0134263
+0.0134152
+0.0135672
+0.0138008
+0.0141724
+0.0148351
+0.0156792
+0.0162437
+0.0169494
+0.017627
+0.0184185
+0.0193894
+0.0204564
+0.0215507
+0.022761
+0.0239898
+0.0231495
+0.0224739
+0.0219966
+0.0217307
+0.021684
+0.021822
+0.0213805
+0.0197863
+0.0182168
+0.0166884
+0.015288
+0.0140273
+0.0127544
+0.0115532
+0.0105989
+0.00990527
+0.00920186
+0.0088407
+0.00864854
+0.00859383
+0.00879841
+0.00916814
+0.00984856
+0.0106841
+0.0116218
+0.0127219
+0.0136926
+0.0143428
+0.0146493
+0.0150345
+0.0154132
+0.016025
+0.0168575
+0.0178598
+0.0189598
+0.0202239
+0.0214616
+0.0227842
+0.0242023
+0.02567
+0.0272068
+0.0288264
+0.0305043
+0.0322077
+0.033947
+0.0373895
+0.0358811
+0.0343536
+0.032901
+0.0315286
+0.0301418
+0.028816
+0.0275895
+0.026464
+0.0253
+0.0242728
+0.0232541
+0.0222456
+0.0213764
+0.0205933
+0.0197641
+0.0187504
+0.0172386
+0.0158745
+0.0146648
+0.0137008
+0.0130279
+0.0126382
+0.0125349
+0.011584
+0.010788
+0.0100809
+0.00956418
+0.00906088
+0.00885784
+0.00893976
+0.00909951
+0.00902777
+0.00937909
+0.00990728
+0.0106042
+0.0111379
+0.0113167
+0.0118531
+0.0122551
+0.0122597
+0.0125202
+0.012814
+0.0131889
+0.0138985
+0.0148994
+0.0153877
+0.0160297
+0.016739
+0.0175562
+0.018562
+0.019736
+0.0208877
+0.0220929
+0.0220159
+0.0211192
+0.0203764
+0.0198487
+0.0195537
+0.0195017
+0.0196533
+0.020039
+0.0187921
+0.0171209
+0.0155672
+0.0141215
+0.0128249
+0.0115616
+0.0103957
+0.00943316
+0.00848807
+0.00784117
+0.00756807
+0.00740145
+0.00730594
+0.00756388
+0.00792159
+0.00869225
+0.00974615
+0.0107502
+0.0118642
+0.0125117
+0.0131724
+0.0137673
+0.0139657
+0.0143556
+0.0149628
+0.0158127
+0.0168377
+0.0179464
+0.0190741
+0.0203616
+0.0217938
+0.0232439
+0.0247235
+0.0262628
+0.0278811
+0.0295419
+0.0312526
+0.0329668
+0.0361186
+0.0346048
+0.0330453
+0.031534
+0.0301048
+0.0287637
+0.0274598
+0.0261816
+0.0250121
+0.0238504
+0.0227577
+0.0217516
+0.0207974
+0.0198894
+0.0190966
+0.0182437
+0.0172825
+0.016107
+0.0150005
+0.01375
+0.0127326
+0.0120155
+0.0116317
+0.0112515
+0.0103711
+0.0095822
+0.00891234
+0.00838335
+0.00783247
+0.00758724
+0.00774076
+0.00814919
+0.00807244
+0.00850264
+0.00914713
+0.00995885
+0.00991981
+0.0101278
+0.0106918
+0.0111313
+0.0112576
+0.0116495
+0.0120116
+0.0124418
+0.0131763
+0.0140973
+0.0145027
+0.0151166
+0.0159273
+0.0167636
+0.0178041
+0.018947
+0.0200954
+0.0212085
+0.0200871
+0.0191244
+0.0183007
+0.0177113
+0.01738
+0.0173215
+0.0174902
+0.0179225
+0.0178063
+0.0161891
+0.0145939
+0.013097
+0.0117321
+0.0103866
+0.00921727
+0.00814318
+0.00715959
+0.00653604
+0.00630962
+0.00622648
+0.00617959
+0.00632349
+0.00689967
+0.00778105
+0.0086378
+0.00961939
+0.0107882
+0.0111318
+0.0118105
+0.0126591
+0.012849
+0.0133281
+0.0139574
+0.014759
+0.0157873
+0.0168445
+0.0180353
+0.0194012
+0.0208578
+0.0222653
+0.0237272
+0.0252459
+0.0268565
+0.0285445
+0.0302969
+0.0319624
+0.0349375
+0.0333914
+0.0317994
+0.0302553
+0.0287717
+0.0273736
+0.0260737
+0.0248607
+0.0236552
+0.0224544
+0.0213305
+0.0202466
+0.0193263
+0.0184616
+0.0176222
+0.0167722
+0.0158612
+0.0146857
+0.0136321
+0.0128012
+0.0120387
+0.011307
+0.0108199
+0.0100226
+0.00925978
+0.00851348
+0.00781913
+0.00731629
+0.00684966
+0.00661419
+0.00680661
+0.00735996
+0.00733588
+0.00764943
+0.0084535
+0.00898611
+0.00896328
+0.00919174
+0.00978887
+0.0101181
+0.0101317
+0.0104779
+0.0110823
+0.0115895
+0.0123658
+0.0132788
+0.0136363
+0.0142644
+0.0151503
+0.0160529
+0.0170823
+0.0181159
+0.0192941
+0.0194471
+0.0182176
+0.0171773
+0.0162553
+0.0155887
+0.0152112
+0.0151444
+0.0153349
+0.0158262
+0.0165945
+0.0152169
+0.0136584
+0.0120995
+0.0105988
+0.00925866
+0.00813119
+0.00699115
+0.00604973
+0.00545128
+0.00508624
+0.00505031
+0.00493072
+0.00517973
+0.00587169
+0.00679806
+0.00760546
+0.00857783
+0.00943474
+0.00988158
+0.0106119
+0.0115631
+0.0118179
+0.0122925
+0.0128904
+0.0137042
+0.0147891
+0.0158464
+0.0170823
+0.0183798
+0.0196726
+0.0210414
+0.0225405
+0.024134
+0.0257858
+0.027451
+0.0291028
+0.0308218
+0.033847
+0.0322531
+0.0306582
+0.0290535
+0.0275297
+0.0260845
+0.0247286
+0.0234846
+0.0223001
+0.0209955
+0.0198394
+0.0188013
+0.0178333
+0.0169872
+0.0162037
+0.0153994
+0.014548
+0.0132741
+0.0122508
+0.0114272
+0.0108542
+0.0102026
+0.00947576
+0.00886312
+0.00812985
+0.00740368
+0.00678779
+0.00632709
+0.0058999
+0.00581473
+0.00620632
+0.0064278
+0.00640725
+0.00691084
+0.00783197
+0.00822455
+0.00822173
+0.00857215
+0.00920787
+0.00911967
+0.00903341
+0.00942005
+0.00999987
+0.010572
+0.0113688
+0.0123729
+0.0128752
+0.0135018
+0.0143971
+0.0153433
+0.0163608
+0.0174032
+0.0185753
+0.0177813
+0.0164276
+0.0152694
+0.0142531
+0.0134879
+0.0130498
+0.0129718
+0.0131912
+0.0137593
+0.0146365
+0.0142185
+0.0126327
+0.0110825
+0.0095895
+0.00815299
+0.00693938
+0.00583291
+0.00491558
+0.00426907
+0.00388618
+0.00371076
+0.0037468
+0.00405049
+0.00478898
+0.00559367
+0.00653817
+0.00764445
+0.00809316
+0.0086041
+0.00940936
+0.0104659
+0.0107849
+0.0112376
+0.0118113
+0.0126954
+0.0138722
+0.0149052
+0.0159754
+0.0171551
+0.0184845
+0.0199358
+0.0214494
+0.0230372
+0.0246468
+0.0262648
+0.0279609
+0.0296938
+0.032818
+0.0311945
+0.0296352
+0.0279719
+0.0263857
+0.0248915
+0.0234875
+0.0221893
+0.0210336
+0.0196654
+0.0184298
+0.0173795
+0.0164029
+0.0155238
+0.0148168
+0.0139989
+0.0132613
+0.0119722
+0.0108655
+0.0100489
+0.00960212
+0.00891055
+0.00816063
+0.0075438
+0.00690354
+0.00617796
+0.00552172
+0.00513612
+0.0050271
+0.00507751
+0.00560002
+0.00554338
+0.00567867
+0.00638071
+0.00720567
+0.00774063
+0.00772254
+0.00820774
+0.00798588
+0.00787178
+0.0079597
+0.00829885
+0.00889957
+0.00951107
+0.0103969
+0.0113278
+0.0120323
+0.0127699
+0.0137135
+0.0146479
+0.015677
+0.0168485
+0.0178687
+0.0162407
+0.0147462
+0.013444
+0.0123152
+0.011421
+0.0109
+0.0108049
+0.011066
+0.0117374
+0.0127544
+0.0133674
+0.0116988
+0.0101373
+0.00855033
+0.00709761
+0.00574252
+0.00466044
+0.00377773
+0.00312703
+0.00275158
+0.00256837
+0.00252925
+0.00288498
+0.00367353
+0.00448374
+0.00555824
+0.00664945
+0.00710439
+0.00766442
+0.00848137
+0.0095666
+0.00969315
+0.0101089
+0.0108451
+0.0118018
+0.0128919
+0.0137457
+0.0147813
+0.0159702
+0.0172803
+0.0186991
+0.0202521
+0.0218429
+0.0234502
+0.0250876
+0.0267965
+0.0285654
+0.0318972
+0.0302244
+0.0286215
+0.027025
+0.0253797
+0.0238224
+0.0223714
+0.0210267
+0.0198097
+0.0184873
+0.017175
+0.0160428
+0.015004
+0.0141046
+0.0134477
+0.0125997
+0.0118746
+0.0106539
+0.00957413
+0.00875087
+0.00833314
+0.00782741
+0.00684987
+0.00625796
+0.00562793
+0.00508295
+0.00444191
+0.00384521
+0.00391269
+0.00438106
+0.00475284
+0.00456018
+0.00486459
+0.00563799
+0.00674491
+0.00683476
+0.00690033
+0.00720722
+0.00688476
+0.00680831
+0.00702582
+0.00724048
+0.00792228
+0.00852752
+0.00935357
+0.0102872
+0.011067
+0.0117435
+0.0126306
+0.0136792
+0.0148356
+0.0160811
+0.015923
+0.0148377
+0.0132144
+0.0117434
+0.0104755
+0.00941011
+0.00877056
+0.0086482
+0.00897232
+0.00978837
+0.0109819
+0.0124079
+0.0109293
+0.00926806
+0.00771704
+0.00618269
+0.00471103
+0.00351464
+0.00257345
+0.00201663
+0.00154534
+0.00132076
+0.00130814
+0.00176611
+0.0025052
+0.00342828
+0.00451842
+0.00565309
+0.00640543
+0.00689371
+0.00776559
+0.00852504
+0.00866231
+0.00911459
+0.0099744
+0.0110775
+0.011784
+0.0125856
+0.0135476
+0.0146971
+0.0160398
+0.0175039
+0.0190168
+0.0205768
+0.0222335
+0.0239197
+0.0256625
+0.0274694
+0.0310817
+0.0293858
+0.0277345
+0.0261528
+0.0245195
+0.0229134
+0.0214009
+0.0200143
+0.0187558
+0.0174604
+0.016111
+0.0149063
+0.013793
+0.0128269
+0.0120758
+0.011285
+0.0105702
+0.00923986
+0.0082601
+0.00760101
+0.00718514
+0.00656709
+0.00562027
+0.00493756
+0.00445649
+0.00398686
+0.00354303
+0.00293362
+0.00313344
+0.00407602
+0.00358412
+0.00346339
+0.00398466
+0.00489124
+0.00602712
+0.00596242
+0.00627946
+0.00626148
+0.00591397
+0.00576901
+0.00597579
+0.00633969
+0.00700239
+0.00767962
+0.00864246
+0.00937358
+0.0100583
+0.0107296
+0.0116637
+0.0128481
+0.01403
+0.0143987
+0.0138544
+0.0136045
+0.0118416
+0.0102232
+0.00874919
+0.00750068
+0.00668078
+0.00651427
+0.0069388
+0.00796596
+0.00934794
+0.0109881
+0.0105054
+0.00876418
+0.00712274
+0.00538352
+0.00386199
+0.00255893
+0.00156972
+0.000884567
+0.000461581
+0.000197135
+0.000122518
+0.000633274
+0.00147605
+0.00242523
+0.00356437
+0.00475913
+0.00563493
+0.00632254
+0.00737896
+0.00751314
+0.00778151
+0.00824873
+0.00913338
+0.0100484
+0.0105913
+0.0112999
+0.0122993
+0.0134636
+0.0147795
+0.0161617
+0.0176987
+0.019348
+0.0210573
+0.0228109
+0.0246322
+0.0265094
+0.0303407
+0.0286538
+0.026969
+0.0253502
+0.0237983
+0.0221566
+0.020598
+0.019153
+0.0178604
+0.0166599
+0.0152393
+0.0139581
+0.0127856
+0.0117835
+0.0108341
+0.00997857
+0.00934462
+0.00807647
+0.00695378
+0.00628882
+0.00627775
+0.00530225
+0.00427108
+0.00361558
+0.00325472
+0.00293502
+0.00297094
+0.00293206
+0.00333879
+0.00415177
+0.00310397
+0.00278242
+0.00325054
+0.00444666
+0.00504236
+0.00509954
+0.00557634
+0.00528093
+0.00500171
+0.00476328
+0.0051072
+0.00549016
+0.00614258
+0.00692363
+0.00762384
+0.00816828
+0.00888765
+0.00986465
+0.0108231
+0.0120037
+0.0132812
+0.012463
+0.0118299
+0.0115699
+0.0107119
+0.00891536
+0.00727515
+0.00575172
+0.00468414
+0.00443603
+0.00503882
+0.00632519
+0.00798521
+0.00985367
+0.0100918
+0.00833124
+0.00654039
+0.00475262
+0.00321155
+0.00188393
+0.000719098
+-0.000240357
+-0.000728024
+-0.000795254
+-0.000991602
+-0.000394231
+0.000561513
+0.00152148
+0.00265378
+0.00405372
+0.00465317
+0.00543401
+0.00659318
+0.00659833
+0.00679175
+0.00723292
+0.00813744
+0.00875903
+0.0091977
+0.00986245
+0.0108406
+0.012083
+0.013391
+0.0148809
+0.0164891
+0.0182033
+0.0200106
+0.0218659
+0.0237597
+0.025695
+0.0292326
+0.0279175
+0.0263373
+0.024699
+0.0231237
+0.0215609
+0.0199778
+0.0184844
+0.0171415
+0.0159871
+0.0146164
+0.0133002
+0.0119949
+0.010811
+0.0098009
+0.00878709
+0.0077146
+0.0067614
+0.00579466
+0.00528546
+0.0052057
+0.0041621
+0.00310465
+0.00242663
+0.00219209
+0.00251452
+0.00307753
+0.0037533
+0.00441797
+0.00466811
+0.00367138
+0.00291343
+0.00317822
+0.00434145
+0.0040355
+0.00428506
+0.00493266
+0.00429034
+0.00410667
+0.00400609
+0.00432777
+0.00484801
+0.00547477
+0.00614088
+0.00663229
+0.00719305
+0.00804841
+0.00905852
+0.010165
+0.0113663
+0.0115418
+0.0106266
+0.00987655
+0.00957642
+0.00963344
+0.00793549
+0.00612471
+0.00434074
+0.00286278
+0.00246932
+0.0034359
+0.00509664
+0.00700595
+0.00903091
+0.0100653
+0.00830422
+0.00652449
+0.00474028
+0.00323407
+0.00191826
+0.000736644
+-0.000262941
+-0.000408155
+0.000183401
+-1.21831e-05
+-0.000387739
+-0.000492015
+0.000747541
+0.00195174
+0.00344358
+0.00392101
+0.00461321
+0.00578713
+0.00547338
+0.00568112
+0.00600941
+0.00673665
+0.0076183
+0.00780691
+0.00845054
+0.00950496
+0.0107645
+0.0121649
+0.0137206
+0.0154313
+0.0172508
+0.0191483
+0.0210525
+0.022995
+0.0249786
+0.0279208
+0.0267333
+0.0255995
+0.0241362
+0.0226211
+0.0210799
+0.0195458
+0.0180584
+0.0166813
+0.0154926
+0.0142703
+0.0129195
+0.011492
+0.0101572
+0.00892523
+0.00750979
+0.00609312
+0.00509451
+0.00440993
+0.00400864
+0.00403328
+0.00302941
+0.00220904
+0.00158769
+0.00167217
+0.00290345
+0.00398434
+0.00517326
+0.00594763
+0.00588133
+0.00459481
+0.00367053
+0.00362527
+0.00383202
+0.00327541
+0.00349032
+0.00409632
+0.00346125
+0.00322113
+0.00329508
+0.00373745
+0.00435031
+0.00511411
+0.00553416
+0.00596337
+0.00656212
+0.00745373
+0.00854715
+0.00962372
+0.0108608
+0.00996192
+0.00895112
+0.00804637
+0.00763125
+0.00758801
+0.00717315
+0.00521163
+0.0033918
+0.00169206
+0.00120479
+0.00258611
+0.00441387
+0.00625845
+0.0077045
+0.00890358
+0.00880431
+0.00715123
+0.00555153
+0.00423254
+0.00320607
+0.00238632
+0.00182782
+0.00156043
+0.00126568
+0.000891165
+0.00059927
+-0.00020773
+-0.000103639
+0.00131914
+0.00271089
+0.00286319
+0.00368687
+0.0047749
+0.00444669
+0.00441541
+0.00472159
+0.00548713
+0.00653736
+0.00665553
+0.00725595
+0.00828536
+0.0095777
+0.0110865
+0.0127742
+0.0145928
+0.0164902
+0.0184162
+0.020375
+0.0223768
+0.024411
+0.0267245
+0.0254812
+0.0243542
+0.0232759
+0.022102
+0.0207598
+0.0193036
+0.0178439
+0.0165014
+0.0152988
+0.0142563
+0.0127709
+0.0113118
+0.00991106
+0.00804653
+0.00629721
+0.00477428
+0.00355997
+0.00293337
+0.00298743
+0.00293778
+0.0021671
+0.00159249
+0.00165412
+0.00258776
+0.00378861
+0.00540769
+0.0065746
+0.0076876
+0.00686977
+0.00526441
+0.00412897
+0.00353275
+0.00256731
+0.00244515
+0.00289178
+0.00323056
+0.00276149
+0.00281429
+0.00294806
+0.00350679
+0.00417304
+0.00496181
+0.00543311
+0.00587009
+0.00649762
+0.00734062
+0.00840973
+0.00949797
+0.00990686
+0.00842599
+0.00727699
+0.00641135
+0.00564523
+0.00561503
+0.00551375
+0.0044421
+0.00280119
+0.00116491
+0.00104781
+0.00200208
+0.00351982
+0.00470986
+0.00616653
+0.0069624
+0.00796941
+0.00824757
+0.0068706
+0.00583608
+0.00508301
+0.00444174
+0.00398985
+0.00367971
+0.00318335
+0.00246377
+0.00141483
+5.62695e-05
+-0.00088759
+0.000683649
+0.00187108
+0.00202168
+0.00282299
+0.00403391
+0.00352551
+0.0034984
+0.00385114
+0.00467563
+0.00588595
+0.00570022
+0.00622351
+0.00724811
+0.00865542
+0.0103103
+0.0121024
+0.0139945
+0.0159315
+0.017894
+0.0199042
+0.021949
+0.023971
+0.0256597
+0.0243622
+0.0231993
+0.0221108
+0.0211519
+0.020319
+0.019107
+0.0178503
+0.0165121
+0.0153708
+0.0144189
+0.012984
+0.0112028
+0.00925881
+0.00726538
+0.00538078
+0.00371016
+0.00228691
+0.00175373
+0.00209273
+0.00205022
+0.00150207
+0.00181762
+0.00281368
+0.00390737
+0.0052887
+0.00667221
+0.00821298
+0.00934503
+0.00733802
+0.00544617
+0.00383368
+0.00275742
+0.00157507
+0.00135491
+0.00221258
+0.00249259
+0.0023645
+0.00285501
+0.00358475
+0.00403458
+0.0046348
+0.0054056
+0.00587147
+0.0063539
+0.00694686
+0.0077252
+0.00873387
+0.00978279
+0.00890275
+0.00721875
+0.00584883
+0.00490403
+0.00388583
+0.00365426
+0.00364423
+0.00261341
+0.00210634
+0.000602146
+0.000277946
+0.00132733
+0.00195357
+0.00321492
+0.00413086
+0.00511032
+0.00626816
+0.00759107
+0.00855099
+0.00768466
+0.00711223
+0.00655139
+0.00616343
+0.00579
+0.00526175
+0.00417283
+0.00249135
+0.000511185
+-0.00136702
+0.000196893
+0.000866535
+0.00111796
+0.00231907
+0.00352765
+0.00321209
+0.00334244
+0.00388547
+0.00467644
+0.00551932
+0.00521173
+0.00562981
+0.00671031
+0.00815215
+0.009861
+0.0117275
+0.0136373
+0.0155784
+0.0175783
+0.0195663
+0.0215331
+0.0235395
+0.0246411
+0.0233665
+0.0221818
+0.0210407
+0.020072
+0.019249
+0.0185838
+0.0178093
+0.0167719
+0.0156497
+0.0142301
+0.0122386
+0.0102184
+0.00824981
+0.0063751
+0.00458285
+0.00303087
+0.0015866
+0.000772943
+0.00120466
+0.00131791
+0.00206695
+0.00294438
+0.00417435
+0.00547042
+0.00681148
+0.00823003
+0.00968915
+0.00923997
+0.00716331
+0.00517249
+0.00332306
+0.00190561
+0.000917526
+0.000898875
+0.00198356
+0.00236923
+0.0029485
+0.00363054
+0.00481999
+0.00527365
+0.00580033
+0.00648488
+0.00688841
+0.00732014
+0.00786374
+0.00858609
+0.00954746
+0.00987291
+0.00809043
+0.00628315
+0.0046827
+0.00348766
+0.00242094
+0.00176543
+0.00152415
+0.00123436
+0.000132931
+-0.000319393
+-0.00119656
+-0.000318099
+0.000449483
+0.00144849
+0.00221753
+0.00345298
+0.00477021
+0.00611853
+0.00779733
+0.0096526
+0.00918222
+0.00869706
+0.00834587
+0.00791641
+0.00714901
+0.00537088
+0.00330911
+0.00124327
+-0.000733033
+-0.000425211
+8.45136e-06
+0.000384905
+0.0018079
+0.00327487
+0.00357591
+0.00411663
+0.00483243
+0.00549365
+0.00576743
+0.0053317
+0.00567117
+0.00670094
+0.00813607
+0.00978729
+0.0115394
+0.0133813
+0.0152908
+0.0172433
+0.0191934
+0.0211749
+0.0231934
+0.0237077
+0.022405
+0.0211879
+0.0200803
+0.019118
+0.0182741
+0.0175955
+0.0171273
+0.0168668
+0.0155495
+0.0134739
+0.0113938
+0.00934834
+0.00734676
+0.00536712
+0.00341876
+0.00170001
+0.000719549
+0.000471279
+0.00100767
+0.001875
+0.00299739
+0.00454303
+0.00567812
+0.00703456
+0.0083865
+0.00980459
+0.0112558
+0.00936929
+0.00732934
+0.00532785
+0.00345259
+0.00187798
+0.000891628
+0.000958967
+0.0022924
+0.00307506
+0.00422087
+0.0050793
+0.00616653
+0.00698464
+0.0074027
+0.00793898
+0.00834886
+0.00871079
+0.00920139
+0.0098335
+0.0106813
+0.00903079
+0.00708604
+0.00530615
+0.0038088
+0.00228247
+0.00097479
+0.000428345
+-0.000528456
+-0.000568762
+-0.0015398
+-0.00209774
+-0.00304311
+-0.00239113
+-0.00120315
+-0.000458658
+0.000566071
+0.0018576
+0.0034586
+0.00507304
+0.00681482
+0.008543
+0.01037
+0.0108582
+0.0105225
+0.0100698
+0.00821732
+0.00612983
+0.0040945
+0.00209088
+0.000137595
+-0.00102954
+-0.000867374
+-0.000687943
+0.00104284
+0.00298216
+0.0039806
+0.00527286
+0.00627075
+0.00688757
+0.00655619
+0.00609267
+0.00626738
+0.00703426
+0.00825719
+0.00975195
+0.0114309
+0.0132075
+0.0150857
+0.0169894
+0.0189552
+0.0209453
+0.0229628
+0.0226031
+0.0213586
+0.0202108
+0.0192045
+0.0182401
+0.017424
+0.0167833
+0.0163256
+0.016055
+0.0149699
+0.0128489
+0.0107469
+0.00863978
+0.00655978
+0.0044823
+0.00247313
+0.000613084
+-0.000349597
+0.000577918
+0.00194015
+0.00309505
+0.0045093
+0.00582591
+0.00741145
+0.00861221
+0.0100338
+0.0113938
+0.0112072
+0.00907855
+0.00697397
+0.00492395
+0.00300568
+0.00148669
+0.000776227
+0.00151987
+0.00308003
+0.00430787
+0.00556601
+0.00689926
+0.00782123
+0.00889515
+0.00923969
+0.00967468
+0.0100757
+0.0103778
+0.0108209
+0.0113632
+0.00986968
+0.00800592
+0.00624271
+0.00420589
+0.00239621
+0.00119935
+-0.000390546
+-0.00144549
+-0.00254386
+-0.00265426
+-0.00319111
+-0.00407356
+-0.00494419
+-0.00411468
+-0.00331068
+-0.00223212
+-0.000930969
+0.000685634
+0.00222544
+0.00399724
+0.00562407
+0.00752184
+0.00913969
+0.010164
+0.0112841
+0.0109979
+0.00897079
+0.00696016
+0.00498559
+0.00306519
+0.00120751
+-0.000427292
+-0.0012529
+-0.000897035
+0.000858711
+0.0027366
+0.00466352
+0.00618516
+0.0077002
+0.00860805
+0.00753987
+0.0068754
+0.00676601
+0.00731705
+0.00831534
+0.00970816
+0.0113403
+0.0130784
+0.0149151
+0.0167991
+0.0187499
+0.020742
+0.0226921
+0.021596
+0.020323
+0.0191862
+0.0181599
+0.0173474
+0.0166842
+0.0161521
+0.0157249
+0.0154585
+0.0146172
+0.0124462
+0.0102827
+0.00811947
+0.00597636
+0.00387401
+0.00176724
+4.26667e-06
+0.000170785
+0.00149127
+0.00302096
+0.00455657
+0.00597399
+0.0074257
+0.00883672
+0.0103426
+0.0116307
+0.0130274
+0.0108789
+0.00872928
+0.00660431
+0.00449806
+0.00249486
+0.000920206
+0.000609483
+0.00177076
+0.00360376
+0.00557083
+0.00704748
+0.00844384
+0.00963988
+0.0106649
+0.0112046
+0.0115659
+0.0119468
+0.0122114
+0.0126141
+0.0111592
+0.00904902
+0.00697864
+0.00501141
+0.00330494
+0.00165861
+-0.00025819
+-0.00174143
+-0.0029392
+-0.0041806
+-0.00481432
+-0.00516869
+-0.00594192
+-0.00686169
+-0.00605656
+-0.00509567
+-0.00377353
+-0.00207031
+-0.000662859
+0.00129775
+0.00283996
+0.00456349
+0.00635938
+0.00729077
+0.00829178
+0.00954855
+0.0108619
+0.0098548
+0.00790217
+0.00599719
+0.00412879
+0.00231785
+0.000690807
+-0.000935785
+-0.000551733
+0.000986056
+0.00285504
+0.0049329
+0.00707328
+0.00889054
+0.00925566
+0.0081485
+0.00746159
+0.0073374
+0.0077713
+0.00862928
+0.00988309
+0.0113429
+0.0129959
+0.0147755
+0.016599
+0.0184714
+0.0203793
+0.0223057
+0.0206049
+0.0193074
+0.0181427
+0.0171586
+0.0163343
+0.0157517
+0.0153468
+0.0151699
+0.0150637
+0.014541
+0.0123559
+0.0101727
+0.00799279
+0.00581996
+0.00366697
+0.00161453
+0.000235557
+0.00115422
+0.00274914
+0.00427455
+0.00590026
+0.00750091
+0.00898651
+0.0104442
+0.0118924
+0.0133322
+0.0129158
+0.0107479
+0.00859142
+0.00645806
+0.00436006
+0.00235278
+0.000924012
+0.00113962
+0.00241258
+0.00413571
+0.00602755
+0.00804869
+0.00993836
+0.0114373
+0.0124933
+0.0132405
+0.0135429
+0.0139094
+0.0141469
+0.0121405
+0.0101652
+0.00822508
+0.00626872
+0.00426359
+0.00222912
+0.000335921
+-0.00142696
+-0.00299713
+-0.00424147
+-0.0055857
+-0.00687236
+-0.00716613
+-0.00775549
+-0.00877867
+-0.00792811
+-0.00676958
+-0.00513853
+-0.00338286
+-0.00130966
+0.000269467
+0.00175675
+0.00340464
+0.00443104
+0.00541962
+0.00650523
+0.00790161
+0.00932032
+0.0108563
+0.00897123
+0.007106
+0.00507023
+0.00293914
+0.000902477
+-0.00101822
+-0.000308207
+0.00167898
+0.00381064
+0.00563165
+0.00757984
+0.009632
+0.0101593
+0.00913582
+0.0082741
+0.0078849
+0.00802267
+0.00872657
+0.00987629
+0.0112824
+0.0128786
+0.014588
+0.0163976
+0.0181862
+0.0200429
+0.0219613
+0.0197241
+0.0184117
+0.0172592
+0.0162454
+0.0154535
+0.0148503
+0.014513
+0.0143884
+0.0145243
+0.014734
+0.0125806
+0.0104427
+0.00831806
+0.00622244
+0.00421062
+0.00242188
+0.00156573
+0.00236227
+0.00394344
+0.00564268
+0.00726386
+0.00890255
+0.0105338
+0.0120425
+0.0134988
+0.0149597
+0.0130706
+0.0109195
+0.00878803
+0.00668538
+0.00464246
+0.00279066
+0.00155393
+0.00190186
+0.00327109
+0.00487998
+0.00678664
+0.00865356
+0.0106355
+0.0126759
+0.0144038
+0.0153192
+0.0155749
+0.0154196
+0.0134486
+0.0114877
+0.00940416
+0.0073469
+0.00539571
+0.00334896
+0.00138308
+-0.000598753
+-0.00242155
+-0.0043177
+-0.00589492
+-0.0069976
+-0.00842948
+-0.0092334
+-0.00969793
+-0.0105777
+-0.00981043
+-0.00817544
+-0.00611439
+-0.00416692
+-0.0024514
+-0.00114659
+0.000582864
+0.00178195
+0.00269212
+0.00355265
+0.00491463
+0.00638868
+0.0078495
+0.00938838
+0.00930145
+0.00711414
+0.00492983
+0.00275364
+0.000612342
+-0.00135643
+-0.000185404
+0.00195583
+0.00413247
+0.00627457
+0.00843072
+0.0104614
+0.0108426
+0.0096351
+0.00881477
+0.00838307
+0.00840322
+0.008975
+0.00992536
+0.0112155
+0.0127539
+0.0143437
+0.0160654
+0.0178899
+0.0196654
+0.0211043
+0.0189741
+0.0176058
+0.0164167
+0.0154392
+0.0146082
+0.0140697
+0.0137549
+0.0137274
+0.0139441
+0.0143975
+0.0130897
+0.0110184
+0.00900372
+0.00709146
+0.00533749
+0.00399857
+0.00346484
+0.00399305
+0.00527325
+0.00689849
+0.00866253
+0.0103023
+0.0119493
+0.0135962
+0.0151137
+0.0154677
+0.0133375
+0.0112306
+0.00915601
+0.00713522
+0.00522524
+0.00357012
+0.00263118
+0.00297401
+0.00420714
+0.0057788
+0.00756956
+0.00946739
+0.0114478
+0.0134081
+0.0154014
+0.0172912
+0.0168907
+0.0148063
+0.0127459
+0.0107303
+0.00876836
+0.00674321
+0.00472028
+0.00261385
+0.000729326
+-0.00124894
+-0.00308979
+-0.00484243
+-0.00676924
+-0.00868616
+-0.0099229
+-0.011207
+-0.0117282
+-0.0121141
+-0.0103911
+-0.00876712
+-0.00693729
+-0.00516046
+-0.00355486
+-0.00212281
+-0.00095055
+0.000271115
+0.00103197
+0.00204255
+0.00337189
+0.00478486
+0.0063106
+0.00804873
+0.00919642
+0.00701352
+0.00483693
+0.00267032
+0.000530647
+-0.00128142
+0.000468646
+0.00252305
+0.00461565
+0.00674497
+0.00889013
+0.0110532
+0.0115817
+0.0103056
+0.00934596
+0.00883021
+0.00874766
+0.00919784
+0.0101132
+0.0112214
+0.012597
+0.0141276
+0.0158142
+0.0173533
+0.0187688
+0.0203039
+0.0183142
+0.016975
+0.0157573
+0.0147457
+0.0139641
+0.0134057
+0.0131515
+0.0131694
+0.0134812
+0.0140477
+0.013869
+0.0119337
+0.0100784
+0.0083765
+0.00694767
+0.00592618
+0.00554673
+0.00592457
+0.00692582
+0.00831497
+0.00994089
+0.0116953
+0.0133682
+0.0149985
+0.0166615
+0.0158423
+0.0137702
+0.0117412
+0.00978029
+0.0078756
+0.00615136
+0.00479534
+0.00410903
+0.00438443
+0.00544744
+0.00691953
+0.00854619
+0.0103322
+0.0122274
+0.0141903
+0.01619
+0.0182284
+0.0165401
+0.0144457
+0.0123374
+0.0102635
+0.00825024
+0.00627942
+0.00430573
+0.00238245
+0.000755079
+-0.000673704
+-0.00254752
+-0.00443963
+-0.00649544
+-0.00861225
+-0.0107402
+-0.0127066
+-0.0138076
+-0.012802
+-0.0111475
+-0.0094799
+-0.00780627
+-0.00624966
+-0.00484618
+-0.00372654
+-0.00238051
+-0.00123953
+-0.000575498
+0.000667154
+0.00179229
+0.00326847
+0.00495258
+0.00670232
+0.00839688
+0.0069625
+0.00478223
+0.00261942
+0.000555346
+-0.000584652
+0.00123291
+0.00328052
+0.00537757
+0.00745328
+0.00946177
+0.0115367
+0.0121419
+0.0109073
+0.0100055
+0.00947473
+0.00921559
+0.00944937
+0.0100751
+0.0110992
+0.0124288
+0.013977
+0.0151818
+0.0164931
+0.0179765
+0.0195931
+0.0177709
+0.0164154
+0.0152097
+0.0142057
+0.0134416
+0.0129452
+0.0127203
+0.0128073
+0.0131805
+0.0138035
+0.0146707
+0.0131132
+0.0114393
+0.00995813
+0.00877639
+0.00794933
+0.00766286
+0.00798789
+0.0087563
+0.00993915
+0.0113849
+0.0130061
+0.0147241
+0.0164462
+0.0180644
+0.0164718
+0.0144839
+0.0125574
+0.0106992
+0.00899173
+0.00750294
+0.00638952
+0.00588336
+0.00607448
+0.00691113
+0.00815614
+0.0097138
+0.0114281
+0.0132273
+0.0150944
+0.0170209
+0.0182102
+0.0161008
+0.0140164
+0.01197
+0.009985
+0.00792943
+0.00589545
+0.00397996
+0.00222401
+0.00072516
+-0.000693038
+-0.00264858
+-0.00475331
+-0.0068276
+-0.00887627
+-0.0103096
+-0.0109636
+-0.0118722
+-0.012715
+-0.0122316
+-0.0103976
+-0.00868572
+-0.00723687
+-0.00614983
+-0.00521272
+-0.00393479
+-0.00280959
+-0.00189827
+-0.000983574
+0.000571511
+0.00185779
+0.00369228
+0.00531486
+0.00699501
+0.00736454
+0.00527937
+0.00331705
+0.00169896
+0.00110426
+0.00229661
+0.00413478
+0.0061222
+0.00814523
+0.0102076
+0.0122932
+0.0127696
+0.0115752
+0.0105276
+0.00983763
+0.00955045
+0.00968097
+0.0102873
+0.011183
+0.0123178
+0.0132635
+0.0144784
+0.0158799
+0.0174253
+0.0190885
+0.0174364
+0.0160528
+0.0148388
+0.0138598
+0.0131356
+0.0126768
+0.012471
+0.0126235
+0.0130396
+0.0137295
+0.014668
+0.0145087
+0.0130081
+0.0117268
+0.0107151
+0.0100371
+0.00981173
+0.0100696
+0.0107107
+0.0117106
+0.0129884
+0.0144562
+0.0160734
+0.0177696
+0.0192749
+0.0173245
+0.0154182
+0.0135979
+0.0119029
+0.0103872
+0.00913809
+0.00824577
+0.00781958
+0.00798082
+0.00861335
+0.00968291
+0.0110307
+0.0126139
+0.0143576
+0.0161512
+0.0180186
+0.0178015
+0.0156599
+0.013534
+0.0114326
+0.00935721
+0.00731013
+0.00524776
+0.0030972
+0.00100241
+-0.000867177
+-0.00225538
+-0.00378702
+-0.00556209
+-0.00751119
+-0.00774558
+-0.00820639
+-0.00895692
+-0.00985404
+-0.0107591
+-0.0117879
+-0.0110162
+-0.00941892
+-0.00799974
+-0.00670154
+-0.00582743
+-0.00533792
+-0.00447421
+-0.00368865
+-0.00217937
+-0.000898838
+0.000879175
+0.00227672
+0.00397671
+0.00545083
+0.00729171
+0.00635944
+0.00475035
+0.0035787
+0.00319429
+0.00394595
+0.00537117
+0.00712128
+0.00902771
+0.0110163
+0.0130322
+0.0133325
+0.0120696
+0.0110631
+0.010371
+0.00993879
+0.00989994
+0.0102878
+0.0110443
+0.0118302
+0.012812
+0.0140659
+0.0155047
+0.0171039
+0.0187963
+0.0173661
+0.0159763
+0.0147649
+0.0137811
+0.0130525
+0.0125979
+0.0124919
+0.0126443
+0.0131644
+0.0139093
+0.0148796
+0.0160248
+0.0147364
+0.0136186
+0.0127264
+0.0121611
+0.0119758
+0.0121879
+0.0127422
+0.0135951
+0.014719
+0.0160563
+0.0175369
+0.0191454
+0.0202228
+0.0183561
+0.016569
+0.0148887
+0.0133525
+0.0120211
+0.0109576
+0.0101796
+0.0098375
+0.00997614
+0.0104954
+0.0114126
+0.0125891
+0.0139971
+0.0155869
+0.0173084
+0.0191011
+0.0176354
+0.0154708
+0.0133147
+0.0111722
+0.00905266
+0.00697729
+0.00488764
+0.00277877
+0.000732865
+-0.00123226
+-0.00316972
+-0.00447237
+-0.00537391
+-0.00556429
+-0.00557476
+-0.00613676
+-0.0070239
+-0.00782111
+-0.00881307
+-0.00979504
+-0.00986734
+-0.009268
+-0.00869451
+-0.00737471
+-0.00642303
+-0.00595529
+-0.00564483
+-0.00514948
+-0.00350429
+-0.00188812
+-0.000259514
+0.00116636
+0.0024964
+0.00448231
+0.00650504
+0.00783847
+0.00653655
+0.00564653
+0.00536485
+0.0058963
+0.00699761
+0.00846216
+0.0101565
+0.0119941
+0.013923
+0.0140507
+0.0127099
+0.0116056
+0.0107771
+0.0102796
+0.0101337
+0.0102743
+0.010824
+0.0115601
+0.0126367
+0.0138932
+0.015302
+0.0168485
+0.018512
+0.0174756
+0.0160953
+0.0149103
+0.0139706
+0.0133279
+0.0128858
+0.0127855
+0.0129345
+0.0134434
+0.014226
+0.0152468
+0.0164815
+0.0165744
+0.0155685
+0.0147888
+0.0143052
+0.014148
+0.014328
+0.0148191
+0.0155586
+0.016557
+0.0177583
+0.019134
+0.0206228
+0.0213394
+0.0195795
+0.0179127
+0.0163671
+0.0149833
+0.01381
+0.0128568
+0.0122005
+0.0119166
+0.0120315
+0.0124786
+0.0132593
+0.0143141
+0.0155668
+0.0170105
+0.0186007
+0.0192856
+0.0173027
+0.0153717
+0.013408
+0.0112642
+0.00913435
+0.007042
+0.00503314
+0.00314263
+0.00123399
+-0.000438797
+-0.0017238
+-0.00294528
+-0.0032786
+-0.00340486
+-0.00342929
+-0.00409566
+-0.00500546
+-0.00587416
+-0.00692729
+-0.0079076
+-0.00769026
+-0.0072762
+-0.00654942
+-0.00596774
+-0.00523292
+-0.00447554
+-0.00445378
+-0.00507685
+-0.00438017
+-0.00251678
+-0.0011113
+-0.000233758
+0.00145928
+0.00355969
+0.00516349
+0.00701285
+0.00845946
+0.0077522
+0.00754705
+0.00796326
+0.0088182
+0.0100666
+0.0115563
+0.0132178
+0.0150136
+0.0147171
+0.0133992
+0.0122413
+0.0112704
+0.0105384
+0.0100744
+0.0100223
+0.0103586
+0.0110916
+0.0121316
+0.0133974
+0.0148734
+0.0165089
+0.0181833
+0.0177665
+0.0164304
+0.0152715
+0.0143553
+0.0137307
+0.0134044
+0.0133273
+0.013539
+0.0140203
+0.0147596
+0.0157708
+0.0169752
+0.0183373
+0.0175705
+0.0168836
+0.0164616
+0.0163252
+0.0164814
+0.0169222
+0.0175758
+0.0184655
+0.0195577
+0.0208148
+0.0222168
+0.0226136
+0.0209583
+0.019408
+0.0179914
+0.0167424
+0.0156897
+0.0148366
+0.0142716
+0.0140297
+0.0141274
+0.0145215
+0.0151977
+0.016145
+0.0172723
+0.0185839
+0.0200497
+0.0185594
+0.0165673
+0.014552
+0.0125803
+0.0106941
+0.00894479
+0.00726668
+0.00565392
+0.00395416
+0.00238789
+0.00109423
+-0.000281855
+-0.00100603
+-0.00126652
+-0.00127976
+-0.00131141
+-0.00215
+-0.00293667
+-0.00394738
+-0.00492602
+-0.00582819
+-0.00552165
+-0.00519968
+-0.00442046
+-0.00395367
+-0.00352548
+-0.0029029
+-0.00300435
+-0.0037351
+-0.0046411
+-0.0039804
+-0.00262894
+-0.000901545
+0.000529431
+0.00248044
+0.00420342
+0.00605178
+0.00795822
+0.00989298
+0.00973305
+0.0100594
+0.0107774
+0.0118301
+0.0131474
+0.0146516
+0.0162931
+0.0152976
+0.0137406
+0.0123771
+0.0112591
+0.0104181
+0.00994144
+0.00982956
+0.0101575
+0.0108521
+0.0119145
+0.0131961
+0.0146896
+0.0163347
+0.0180306
+0.0182986
+0.0170044
+0.0158874
+0.0150089
+0.0144127
+0.0141343
+0.0141606
+0.0143601
+0.0148411
+0.0155814
+0.0165415
+0.0176895
+0.0190005
+0.0196129
+0.019
+0.018626
+0.0185056
+0.0186435
+0.0190343
+0.0196303
+0.0204307
+0.021426
+0.0225833
+0.0238822
+0.0240174
+0.0224646
+0.0210256
+0.0197256
+0.0185934
+0.0176236
+0.0168686
+0.0163739
+0.0161634
+0.0162483
+0.0166012
+0.0171957
+0.0180385
+0.0190771
+0.0202723
+0.0199249
+0.0178445
+0.0157939
+0.0137865
+0.0118139
+0.00991021
+0.00803403
+0.00631296
+0.00458769
+0.00304846
+0.00183226
+0.000982602
+0.00100284
+0.00108561
+0.000734871
+0.000846481
+0.000766746
+-0.000155795
+-0.000972417
+-0.00205633
+-0.00306903
+-0.00365101
+-0.00337717
+-0.00306595
+-0.0023442
+-0.00195613
+-0.00158283
+-0.00159433
+-0.002117
+-0.00271173
+-0.00374046
+-0.00447226
+-0.00368642
+-0.00219927
+-0.000286615
+0.00126186
+0.00306465
+0.00507589
+0.0071902
+0.0093398
+0.0114925
+0.0121887
+0.0128118
+0.0137092
+0.0148774
+0.0162348
+0.0171402
+0.0154857
+0.0139513
+0.012568
+0.0114145
+0.010587
+0.0100966
+0.0100212
+0.0103575
+0.0110504
+0.0120248
+0.0132904
+0.0147705
+0.0163539
+0.0180644
+0.0190434
+0.0178308
+0.016769
+0.0159392
+0.015379
+0.0151185
+0.0151731
+0.0154388
+0.015914
+0.0166134
+0.0175148
+0.018628
+0.0198799
+0.0212817
+0.0211315
+0.0207959
+0.0206881
+0.0208116
+0.0211624
+0.0217114
+0.0224377
+0.0233476
+0.0244202
+0.0256262
+0.0255311
+0.0240762
+0.0227395
+0.021543
+0.0205002
+0.0196116
+0.018936
+0.0184967
+0.0183107
+0.0183856
+0.0186977
+0.0192275
+0.0199847
+0.0209447
+0.0216507
+0.0195084
+0.0173781
+0.015265
+0.0131773
+0.0111292
+0.00914743
+0.00725303
+0.00540488
+0.00364791
+0.00200531
+0.000466867
+-0.000721231
+-0.000566279
+-0.000331413
+0.000120574
+0.0017862
+0.00274601
+0.00190605
+0.000885591
+-7.46445e-05
+-0.00109819
+-0.00148356
+-0.00125196
+-0.000934243
+-0.000373009
+0.000223784
+0.000297042
+-0.000141478
+-0.000984621
+-0.00181306
+-0.00279303
+-0.0036416
+-0.00446016
+-0.00300397
+-0.00165785
+0.000327838
+0.00251755
+0.00456548
+0.00666357
+0.00880241
+0.0109617
+0.0131315
+0.0148859
+0.0156694
+0.0167011
+0.0179422
+0.0173029
+0.0156309
+0.0140586
+0.0126579
+0.0115064
+0.0106851
+0.0102088
+0.0101259
+0.0104589
+0.0112092
+0.0122478
+0.0135576
+0.0150427
+0.0166287
+0.0183211
+0.0199804
+0.018834
+0.017877
+0.017101
+0.0165802
+0.0163388
+0.0163437
+0.016618
+0.0171257
+0.0178343
+0.0186781
+0.0197258
+0.0209336
+0.0222757
+0.023274
+0.0229698
+0.0228722
+0.022984
+0.0233021
+0.0238122
+0.0244762
+0.0253129
+0.026306
+0.0274343
+0.0271374
+0.0257733
+0.0245293
+0.0234245
+0.0224472
+0.0216388
+0.0210284
+0.0206337
+0.0204671
+0.0205342
+0.020812
+0.0212893
+0.0219756
+0.0228521
+0.0214654
+0.0192953
+0.0171304
+0.014973
+0.012827
+0.010699
+0.00860262
+0.00653677
+0.00456573
+0.00272829
+0.000998346
+-0.000563806
+-0.00204737
+-0.00190083
+-0.00201592
+-0.000691536
+0.00128143
+0.00334481
+0.00385656
+0.00281199
+0.00172836
+0.000942798
+0.000673794
+0.000802942
+0.00116726
+0.00167901
+0.00240637
+0.00226961
+0.00108309
+2.33915e-05
+-0.000516518
+-0.00160501
+-0.00258679
+-0.00357925
+-0.00339084
+-0.00198289
+-8.77543e-05
+0.00208826
+0.00420334
+0.00631027
+0.0084452
+0.0106029
+0.0127718
+0.0149471
+0.0171263
+0.0186041
+0.0193063
+0.0175462
+0.01587
+0.0143332
+0.0129729
+0.0118519
+0.0110561
+0.0106586
+0.0106267
+0.010951
+0.0116702
+0.0126865
+0.0139749
+0.0154677
+0.0170541
+0.0187514
+0.0211041
+0.0200221
+0.0191258
+0.0184026
+0.0179196
+0.0176612
+0.0176554
+0.0179194
+0.0183961
+0.0191089
+0.0200099
+0.0209952
+0.0221341
+0.0234227
+0.0248273
+0.0251465
+0.0250575
+0.0251595
+0.0254505
+0.0259239
+0.026539
+0.0273126
+0.0282354
+0.0292933
+0.0288209
+0.0275403
+0.0263797
+0.0253444
+0.0244356
+0.0236951
+0.023139
+0.0227809
+0.0226301
+0.0226908
+0.0229407
+0.0233746
+0.0240013
+0.0236187
+0.0214427
+0.01927
+0.017102
+0.0149405
+0.012789
+0.0106534
+0.00854378
+0.00641814
+0.00435745
+0.00240723
+0.000633397
+-0.00121369
+-0.00284284
+-0.00361859
+-0.00253793
+-0.000647697
+0.00138553
+0.00346227
+0.00557151
+0.00473273
+0.00371133
+0.0030325
+0.0027823
+0.0029261
+0.00324077
+0.0037614
+0.0045169
+0.00349414
+0.00248757
+0.00143448
+0.00052844
+-0.000392628
+-0.00116707
+-0.00238575
+-0.00272338
+-0.00152251
+-0.000396866
+0.00172905
+0.00391424
+0.00610337
+0.00829333
+0.0104836
+0.012674
+0.0148645
+0.017055
+0.0192455
+0.0196519
+0.0179049
+0.0162657
+0.0147701
+0.0134541
+0.0123767
+0.011617
+0.0112393
+0.0112091
+0.0115912
+0.0123475
+0.0133775
+0.0146611
+0.0161058
+0.017686
+0.0193105
+0.0223862
+0.0213693
+0.0205033
+0.0198303
+0.019383
+0.019134
+0.0191287
+0.0193727
+0.0198278
+0.0204908
+0.0213589
+0.0223924
+0.023478
+0.0246967
+0.0260429
+0.0273256
+0.0272436
+0.0273375
+0.0276055
+0.0280426
+0.0286208
+0.0293396
+0.0302005
+0.0311918
+0.0305686
+0.0293644
+0.0282787
+0.0272976
+0.0264559
+0.0257735
+0.0252633
+0.0249357
+0.024798
+0.0248534
+0.0250801
+0.0254776
+0.0252611
+0.0237761
+0.021616
+0.0194627
+0.0173187
+0.0151881
+0.0130774
+0.010998
+0.00896983
+0.00697289
+0.00508072
+0.00307129
+0.000942375
+-0.00110106
+-0.00306749
+-0.00402473
+-0.00205014
+-2.39655e-05
+0.00199518
+0.00408923
+0.00622019
+0.00660184
+0.00573569
+0.00515081
+0.00491823
+0.00508867
+0.00534558
+0.00588283
+0.0062028
+0.0049829
+0.00397751
+0.00294552
+0.0020963
+0.001328
+0.000250164
+-0.00107219
+-0.0017809
+-0.00093564
+0.00105017
+0.00262404
+0.00444113
+0.00648018
+0.00859128
+0.0107343
+0.0128932
+0.0150518
+0.0172186
+0.0193907
+0.0202117
+0.0185176
+0.0169359
+0.0154856
+0.0142259
+0.0132117
+0.0125028
+0.0121427
+0.0121061
+0.0124607
+0.013175
+0.0141644
+0.0153714
+0.0167787
+0.0183398
+0.0200065
+0.0238013
+0.0228322
+0.0220129
+0.0213876
+0.0209691
+0.0207341
+0.0207292
+0.0209545
+0.0213884
+0.0220044
+0.022815
+0.0238003
+0.0249318
+0.0260926
+0.0273702
+0.0287582
+0.0294304
+0.0295173
+0.0297657
+0.0301715
+0.0307177
+0.0313885
+0.0321947
+0.0331264
+0.0323703
+0.0312356
+0.0302061
+0.0292843
+0.0285015
+0.0278692
+0.027398
+0.0270962
+0.0269695
+0.0270205
+0.0267285
+0.0251209
+0.0235961
+0.0221831
+0.0208658
+0.0196989
+0.0178045
+0.0157397
+0.0137142
+0.0117481
+0.0097105
+0.00754057
+0.00538696
+0.00325694
+0.00111111
+-0.000975763
+-0.00310052
+-0.00315818
+-0.00134946
+0.000688489
+0.00274764
+0.00479268
+0.0068535
+0.00851296
+0.0077676
+0.00730907
+0.00708116
+0.00724294
+0.00749716
+0.00802214
+0.00779174
+0.00674755
+0.00563825
+0.00460687
+0.00369424
+0.00267419
+0.00141734
+0.000419472
+-0.000398273
+0.000406133
+0.00194466
+0.00375508
+0.00569969
+0.00743966
+0.00933955
+0.0113448
+0.0134076
+0.0155041
+0.0176235
+0.0197584
+0.0209733
+0.0193302
+0.0178055
+0.016432
+0.0152507
+0.0143093
+0.0136574
+0.0133185
+0.0132851
+0.0136091
+0.0142526
+0.0151653
+0.0163048
+0.0176378
+0.0191295
+0.0207441
+0.0253265
+0.0243945
+0.0236295
+0.023048
+0.0226516
+0.0224342
+0.0224296
+0.0226381
+0.0230514
+0.0236245
+0.0243813
+0.0253056
+0.02638
+0.0275832
+0.0288032
+0.0301252
+0.0315441
+0.0316987
+0.0319301
+0.0323087
+0.0328269
+0.0334555
+0.034213
+0.0350911
+0.0342175
+0.033146
+0.0321625
+0.0312984
+0.0305671
+0.0299784
+0.0295409
+0.0292612
+0.0288696
+0.0270601
+0.0253108
+0.0236352
+0.0220233
+0.0205022
+0.019107
+0.0178254
+0.0167258
+0.0158286
+0.0138811
+0.0120115
+0.0101146
+0.00792958
+0.00574818
+0.00357708
+0.00143908
+-0.000484709
+-0.0018444
+-0.00171969
+-0.000174948
+0.00156181
+0.00352939
+0.00557788
+0.00769592
+0.00965973
+0.00986109
+0.00948223
+0.00925497
+0.0093638
+0.00966633
+0.0100972
+0.00954361
+0.00855093
+0.00744741
+0.00633938
+0.00509468
+0.00414714
+0.00303457
+0.00214023
+0.00158102
+0.00214663
+0.00342798
+0.00498264
+0.00671626
+0.00859697
+0.0104962
+0.0123145
+0.014238
+0.0162295
+0.0182666
+0.0203351
+0.0218982
+0.0203301
+0.0188862
+0.0175973
+0.0164996
+0.0156321
+0.015022
+0.0146689
+0.0146387
+0.0149333
+0.015522
+0.0163641
+0.0174423
+0.0187002
+0.0201133
+0.0216561
+0.0269224
+0.0260476
+0.0253325
+0.024791
+0.0244148
+0.0242132
+0.024209
+0.0244022
+0.0247883
+0.0253305
+0.0260377
+0.0269053
+0.0279181
+0.0290611
+0.0303134
+0.0315852
+0.0329412
+0.0338812
+0.0340978
+0.0344526
+0.0349415
+0.0355372
+0.0362513
+0.0370812
+0.036103
+0.0350781
+0.0341473
+0.0333347
+0.032649
+0.0320986
+0.031292
+0.0294421
+0.0276418
+0.025847
+0.0240095
+0.0222361
+0.0205433
+0.0189259
+0.0174098
+0.0160326
+0.0148091
+0.0138052
+0.0130513
+0.0114253
+0.00959538
+0.00790085
+0.00602075
+0.00405439
+0.00214925
+0.000558625
+-0.00035163
+-0.000309796
+0.00117377
+0.0028955
+0.00457448
+0.00649862
+0.00842488
+0.0104433
+0.0118931
+0.011575
+0.0113673
+0.0113867
+0.0117486
+0.0121632
+0.0114329
+0.0103347
+0.00911959
+0.00788964
+0.0068524
+0.00572222
+0.00472564
+0.00387666
+0.0036703
+0.0040683
+0.00509934
+0.0064826
+0.00805942
+0.00976276
+0.0115633
+0.0134798
+0.0153383
+0.0172028
+0.0191366
+0.0211206
+0.0229843
+0.0214955
+0.0201354
+0.0189251
+0.0178946
+0.0170843
+0.0165243
+0.0162041
+0.0161767
+0.0164437
+0.0169801
+0.0177532
+0.0187517
+0.0199418
+0.0212779
+0.0227418
+0.0285971
+0.0277751
+0.0271057
+0.0266003
+0.0262425
+0.0260551
+0.0260512
+0.0262308
+0.0265904
+0.0271063
+0.0277683
+0.0285834
+0.0295387
+0.0306213
+0.031818
+0.0331085
+0.0344212
+0.0358039
+0.0362683
+0.0366021
+0.0370626
+0.0376314
+0.0383064
+0.0390819
+0.0380211
+0.0370363
+0.0361559
+0.0353894
+0.0340979
+0.0321345
+0.0301992
+0.0282996
+0.0264299
+0.0246042
+0.0228429
+0.0209729
+0.0191689
+0.0174537
+0.0158287
+0.0143199
+0.0129694
+0.0118279
+0.01096
+0.0104225
+0.00927822
+0.00754786
+0.00591001
+0.00423782
+0.00281644
+0.00178974
+0.00103842
+0.00111478
+0.00241757
+0.00418363
+0.00590206
+0.00764074
+0.00944862
+0.0113891
+0.0133226
+0.0136563
+0.0134413
+0.0134578
+0.0137478
+0.0140521
+0.0130805
+0.0116745
+0.0104299
+0.00927124
+0.00831677
+0.00734015
+0.00650575
+0.00590701
+0.00577993
+0.0061592
+0.00691766
+0.00814843
+0.00956077
+0.011148
+0.012834
+0.0145845
+0.0164409
+0.018371
+0.0202076
+0.0220956
+0.0240351
+0.0227928
+0.0215103
+0.0203753
+0.0194219
+0.0186779
+0.0181672
+0.0178763
+0.0178515
+0.0180939
+0.0185827
+0.0192917
+0.0202143
+0.0213229
+0.0225901
+0.023979
+0.0303377
+0.0295641
+0.0289361
+0.0284632
+0.0281221
+0.0279473
+0.0279436
+0.0281112
+0.028447
+0.028939
+0.02956
+0.030327
+0.031229
+0.0322549
+0.0333931
+0.0346327
+0.0359532
+0.0372989
+0.0384411
+0.0387562
+0.0391914
+0.0397359
+0.0403758
+0.0409779
+0.0399566
+0.0390192
+0.037299
+0.0352532
+0.0332259
+0.0312204
+0.0292266
+0.0272594
+0.0253288
+0.0234396
+0.0215838
+0.0197961
+0.0179574
+0.0161137
+0.0143677
+0.012732
+0.0112344
+0.00992784
+0.00891647
+0.00827457
+0.00801307
+0.00750133
+0.00608805
+0.00458236
+0.00351013
+0.00308436
+0.00240174
+0.00252152
+0.00353859
+0.00516426
+0.00703638
+0.00894178
+0.0102536
+0.0115294
+0.0130145
+0.0146205
+0.0154723
+0.0155212
+0.0157227
+0.0147166
+0.0137215
+0.0129466
+0.0118324
+0.0108079
+0.0099243
+0.00902099
+0.0083624
+0.00792961
+0.00789552
+0.00830173
+0.00889121
+0.00990727
+0.0112195
+0.0126487
+0.0142407
+0.0159157
+0.0176324
+0.0194447
+0.0213281
+0.0232369
+0.0250883
+0.0242162
+0.0230062
+0.0219487
+0.0210666
+0.0203827
+0.0199107
+0.0196456
+0.019623
+0.0198437
+0.0202955
+0.0209466
+0.0217993
+0.0228311
+0.0240188
+0.0253407
+0.0321333
+0.031404
+0.0308135
+0.0303651
+0.0300439
+0.0298803
+0.0298769
+0.0300337
+0.0303482
+0.0308157
+0.0314024
+0.0321253
+0.0329782
+0.0339513
+0.0350345
+0.0362179
+0.0374921
+0.0388368
+0.0402094
+0.0409142
+0.0413266
+0.0418493
+0.0424573
+0.0429012
+0.0408267
+0.0387194
+0.0366219
+0.034536
+0.0324639
+0.0304084
+0.0283732
+0.0263606
+0.0243589
+0.0223926
+0.020472
+0.018589
+0.0167683
+0.0149755
+0.0130785
+0.0112884
+0.00963606
+0.0081584
+0.00693103
+0.00613821
+0.00582688
+0.00590705
+0.00588025
+0.00450509
+0.00366521
+0.00341632
+0.00335483
+0.00374062
+0.00469168
+0.00563618
+0.00615998
+0.00726408
+0.00851301
+0.0099507
+0.0115672
+0.0133485
+0.0152222
+0.0162082
+0.014732
+0.0134004
+0.0122993
+0.0114426
+0.0109534
+0.0108373
+0.0110957
+0.0108575
+0.0103505
+0.0100039
+0.0100251
+0.0104147
+0.0109378
+0.0117929
+0.012948
+0.0142982
+0.0157406
+0.0173243
+0.0189844
+0.0206953
+0.0224741
+0.0243202
+0.0262195
+0.0257413
+0.0246064
+0.0236206
+0.0228033
+0.022173
+0.0217327
+0.0214901
+0.0214695
+0.0216714
+0.0220898
+0.0226925
+0.0234819
+0.0244427
+0.0255557
+0.0268018
+0.0339754
+0.0332865
+0.0327299
+0.032302
+0.0320003
+0.0318468
+0.0318435
+0.0319907
+0.0322862
+0.0327259
+0.0332869
+0.0339698
+0.0347775
+0.0357016
+0.0367332
+0.0378635
+0.0390841
+0.0403867
+0.0417511
+0.0430754
+0.0434674
+0.0439651
+0.0445493
+0.0424687
+0.0403282
+0.0381934
+0.0360654
+0.0339453
+0.0318348
+0.0297358
+0.0276511
+0.0255842
+0.0235396
+0.0215136
+0.0195066
+0.0175436
+0.0156341
+0.0137717
+0.0119706
+0.0100818
+0.00822312
+0.00654213
+0.00507994
+0.00403318
+0.00364595
+0.00385272
+0.00462257
+0.00359408
+0.00293264
+0.00318208
+0.00292054
+0.00357987
+0.00350178
+0.00347615
+0.00423298
+0.00553464
+0.00691754
+0.00854626
+0.0103793
+0.0122589
+0.0142269
+0.0152773
+0.0137041
+0.0122757
+0.0110656
+0.0100941
+0.00951509
+0.00935163
+0.00965861
+0.0100918
+0.0109544
+0.0108541
+0.0110429
+0.0116341
+0.012515
+0.0136674
+0.0147705
+0.0160029
+0.0172748
+0.0184346
+0.0197684
+0.0212117
+0.0227734
+0.0244318
+0.026163
+0.0273569
+0.0262918
+0.0253716
+0.0246125
+0.0240298
+0.0236175
+0.0233945
+0.0233755
+0.0235611
+0.0239465
+0.0245099
+0.0252425
+0.0261387
+0.0271824
+0.0283571
+0.0358567
+0.0352046
+0.0346789
+0.0342695
+0.0339853
+0.0338407
+0.0338377
+0.0339762
+0.0342546
+0.0346694
+0.035207
+0.0358533
+0.0366195
+0.0374982
+0.0384816
+0.0395621
+0.0407318
+0.0419833
+0.043309
+0.0446901
+0.0456129
+0.0460875
+0.0442668
+0.0421038
+0.0399438
+0.0377873
+0.035635
+0.0334877
+0.0313464
+0.0292124
+0.0270875
+0.0249739
+0.0228748
+0.0207946
+0.0187397
+0.0166967
+0.0146849
+0.0127324
+0.0108324
+0.00897902
+0.00713985
+0.00519699
+0.00345511
+0.00203743
+0.00146922
+0.00196241
+0.002761
+0.00175497
+0.00156438
+0.00240219
+0.00145931
+0.0020169
+0.00139063
+0.00133891
+0.00254141
+0.00393141
+0.00557474
+0.00742394
+0.00938305
+0.0114061
+0.0133891
+0.0146153
+0.0129515
+0.0113957
+0.0100515
+0.00896208
+0.00830454
+0.00811674
+0.00847733
+0.00900123
+0.00972985
+0.00950259
+0.00970736
+0.0103276
+0.0113107
+0.0125892
+0.0140733
+0.015435
+0.0164334
+0.017648
+0.0190211
+0.0205365
+0.0221583
+0.0238526
+0.0256222
+0.0274527
+0.0280472
+0.0271865
+0.0264794
+0.0259387
+0.0255512
+0.0253451
+0.0253276
+0.025499
+0.0258556
+0.0263841
+0.027066
+0.0279037
+0.0288837
+0.0299918
+0.0377713
+0.0371528
+0.0366551
+0.0362626
+0.0359941
+0.0358577
+0.0358548
+0.0359856
+0.0362485
+0.0366407
+0.0371568
+0.0377699
+0.038498
+0.0393347
+0.0402733
+0.041307
+0.0424286
+0.0436314
+0.044909
+0.0462528
+0.0476493
+0.046203
+0.0440261
+0.0418506
+0.0396768
+0.037505
+0.0353355
+0.0331688
+0.0310055
+0.0288463
+0.0266922
+0.0245446
+0.0224053
+0.0202771
+0.0181637
+0.016071
+0.0140083
+0.0119463
+0.00992974
+0.00796779
+0.00605511
+0.00413513
+0.00229579
+0.000373293
+-0.000656227
+0.000460327
+0.00107519
+-0.000200687
+0.000106471
+0.00118782
+-0.000397102
+0.00013842
+-0.00048167
+-0.000509576
+0.00106331
+0.00273769
+0.00457427
+0.00653548
+0.00853727
+0.0106063
+0.0127041
+0.0142008
+0.0124821
+0.0108593
+0.00941606
+0.00825256
+0.00749891
+0.00728144
+0.00761803
+0.00832112
+0.00874557
+0.00842019
+0.00865062
+0.00931221
+0.0103941
+0.011788
+0.0133663
+0.0147932
+0.0158321
+0.0170896
+0.0185041
+0.0200587
+0.0217231
+0.0234577
+0.0252511
+0.0271029
+0.029002
+0.0290532
+0.0283927
+0.0278858
+0.0275233
+0.0273322
+0.027316
+0.0274749
+0.0278062
+0.0283035
+0.0289405
+0.0297254
+0.0302279
+0.0308574
+0.0397145
+0.0391268
+0.0386543
+0.0382773
+0.038023
+0.0378939
+0.0378912
+0.038015
+0.038264
+0.0386357
+0.0391268
+0.0397149
+0.0404079
+0.0412059
+0.0421028
+0.0430926
+0.0441689
+0.0453256
+0.0465567
+0.0478565
+0.0482605
+0.0460766
+0.0438935
+0.0417111
+0.0395296
+0.0373492
+0.0351701
+0.0329926
+0.0308169
+0.0286435
+0.0264729
+0.0243059
+0.0221436
+0.0199875
+0.0178398
+0.015704
+0.0135857
+0.0114874
+0.00941326
+0.00735812
+0.00532202
+0.00333124
+0.00132633
+-0.000533121
+-0.00184392
+-0.000877249
+-0.000872411
+-0.00188295
+-0.00115517
+-0.000522467
+-0.0018596
+-0.00156749
+-0.00163141
+-0.00182782
+-7.64605e-05
+0.00175793
+0.0037452
+0.0058329
+0.00797592
+0.0101393
+0.0123124
+0.0140854
+0.0123551
+0.0107263
+0.00923163
+0.00804284
+0.00721118
+0.00698093
+0.00730724
+0.00816517
+0.00812838
+0.00777213
+0.00795782
+0.0086631
+0.00981681
+0.0112822
+0.0129371
+0.0144581
+0.0155195
+0.0168003
+0.0182374
+0.0198128
+0.0214963
+0.0232479
+0.0250563
+0.0269215
+0.0288325
+0.0307809
+0.0303435
+0.0298645
+0.0295263
+0.0293482
+0.0293331
+0.0294812
+0.0295824
+0.0295949
+0.0297576
+0.0300794
+0.0305553
+0.0311782
+0.0416823
+0.0411227
+0.0406685
+0.0403104
+0.040069
+0.0399465
+0.0399439
+0.0400614
+0.0402977
+0.0406509
+0.0411179
+0.0416843
+0.0423451
+0.0431072
+0.0439654
+0.0449141
+0.0459477
+0.0470608
+0.0482476
+0.049503
+0.0482391
+0.0460543
+0.04387
+0.0416864
+0.0395035
+0.0373216
+0.0351408
+0.0329613
+0.0307834
+0.0286075
+0.0264339
+0.0242635
+0.022097
+0.0199359
+0.017782
+0.0156383
+0.0135097
+0.0113974
+0.00930315
+0.00726601
+0.00532003
+0.00334472
+0.0013129
+-0.000268958
+-0.000207092
+0.000433303
+0.000188797
+-0.000588617
+-0.000199651
+0.00026652
+-0.000274527
+0.000354339
+-0.000140948
+-0.000417205
+0.000177619
+0.0016554
+0.00364931
+0.00578263
+0.00794723
+0.0101231
+0.0123041
+0.014275
+0.0125708
+0.0109738
+0.0095178
+0.00836976
+0.00757056
+0.00723722
+0.00754345
+0.00835407
+0.00801602
+0.00765586
+0.0078267
+0.00854282
+0.00971083
+0.0111901
+0.0128374
+0.0144511
+0.015513
+0.0167943
+0.0182318
+0.0198077
+0.0214916
+0.0232435
+0.0250522
+0.0269177
+0.028829
+0.0307776
+0.032325
+0.0318709
+0.0313183
+0.0307971
+0.0304252
+0.0301736
+0.030046
+0.0300779
+0.0302492
+0.0305658
+0.0310342
+0.0316477
+0.0436712
+0.0431374
+0.0427001
+0.0423592
+0.0421295
+0.042013
+0.0420106
+0.0421223
+0.0423471
+0.0426833
+0.0431284
+0.0436747
+0.0443058
+0.0450348
+0.0458569
+0.0467673
+0.0477608
+0.0488325
+0.0499773
+0.0504992
+0.0483172
+0.046136
+0.0439558
+0.0417767
+0.0395988
+0.0374225
+0.0352479
+0.0330755
+0.0309055
+0.0287377
+0.0265722
+0.0244106
+0.0222548
+0.0201064
+0.0179683
+0.0158446
+0.0137419
+0.0116716
+0.00964975
+0.00768587
+0.00587695
+0.00416246
+0.0025759
+0.00180597
+0.00192107
+0.00253766
+0.00184575
+0.00152841
+0.00187401
+0.00214645
+0.00188433
+0.00230656
+0.00190453
+0.00170131
+0.00190708
+0.00284956
+0.00445129
+0.00633584
+0.00836938
+0.0104665
+0.0125954
+0.0147411
+0.013153
+0.0116022
+0.0102203
+0.00906978
+0.00831757
+0.00801659
+0.00828134
+0.0090024
+0.00843286
+0.00808944
+0.0082268
+0.00890811
+0.0100313
+0.0114651
+0.0130569
+0.0147431
+0.0157854
+0.017043
+0.0184701
+0.0200356
+0.0217082
+0.0234392
+0.0252378
+0.0270917
+0.0289915
+0.0309298
+0.0328998
+0.0325583
+0.0319073
+0.031396
+0.0310287
+0.0307845
+0.0306595
+0.0306908
+0.0308771
+0.031188
+0.0316472
+0.032249
+0.0456787
+0.0451686
+0.0447467
+0.0444215
+0.0442026
+0.0440916
+0.0440892
+0.0441956
+0.04441
+0.0447307
+0.0451556
+0.0456816
+0.0462872
+0.0469855
+0.047774
+0.0486485
+0.0496044
+0.0506371
+0.051742
+0.0506663
+0.0484901
+0.0463153
+0.044142
+0.0419706
+0.0398012
+0.0376344
+0.0354705
+0.03331
+0.0311538
+0.0290028
+0.0268582
+0.0247217
+0.0225955
+0.0204829
+0.0183887
+0.0163197
+0.0142871
+0.0123089
+0.0104068
+0.00860045
+0.0070063
+0.00557091
+0.0044473
+0.00394962
+0.00407006
+0.00452349
+0.00388981
+0.00365218
+0.00396307
+0.00419537
+0.00401833
+0.00432669
+0.00404834
+0.00385855
+0.00393827
+0.00460583
+0.00580307
+0.00742606
+0.00923736
+0.0111728
+0.0131883
+0.0152522
+0.0140008
+0.012541
+0.0112193
+0.0101609
+0.00948246
+0.00921115
+0.00945288
+0.0100943
+0.00935643
+0.0089937
+0.00910838
+0.00972814
+0.0107661
+0.0121132
+0.0136295
+0.0153076
+0.0163191
+0.0175385
+0.0189283
+0.0204588
+0.0221006
+0.0238112
+0.0255837
+0.0274167
+0.0292989
+0.0312214
+0.0331771
+0.0332699
+0.0326331
+0.0321333
+0.0317713
+0.0315362
+0.0314142
+0.0314447
+0.0316265
+0.0319301
+0.0323788
+0.0329673
+0.0477023
+0.0472141
+0.0468064
+0.0464956
+0.0462865
+0.0461805
+0.0461782
+0.0462798
+0.0464846
+0.0467911
+0.0471974
+0.047701
+0.0482867
+0.0489564
+0.0497137
+0.0505547
+0.0514752
+0.0524711
+0.0530786
+0.0509112
+0.048746
+0.0465831
+0.0444229
+0.0422659
+0.0401126
+0.0379635
+0.0358195
+0.0336814
+0.0315506
+0.0294286
+0.0273175
+0.0252199
+0.0231395
+0.0210815
+0.0190532
+0.017065
+0.0151328
+0.0132808
+0.0115133
+0.00991055
+0.00849157
+0.00735241
+0.00647193
+0.00610816
+0.00623233
+0.00648003
+0.00600218
+0.00580457
+0.0060782
+0.00631985
+0.00615317
+0.00639533
+0.00621314
+0.00602062
+0.00607406
+0.00657615
+0.00753064
+0.00884287
+0.010453
+0.0122357
+0.0141
+0.0160471
+0.0150971
+0.0137123
+0.0125029
+0.0115626
+0.0109452
+0.010711
+0.0109043
+0.0113024
+0.0106057
+0.0102843
+0.0103848
+0.0109324
+0.0118655
+0.0131
+0.0145136
+0.0160998
+0.0171186
+0.0182848
+0.0196218
+0.021102
+0.0226974
+0.024375
+0.0261093
+0.0279078
+0.029759
+0.0316535
+0.0335841
+0.0341076
+0.0334867
+0.0329972
+0.0326443
+0.0324143
+0.0323
+0.0323296
+0.0325065
+0.032802
+0.0332389
+0.0338124
+0.04974
+0.0492707
+0.0488774
+0.0485799
+0.0483798
+0.0482784
+0.0482763
+0.0483735
+0.0485694
+0.0488628
+0.049252
+0.0497348
+0.0503021
+0.0509453
+0.0516735
+0.0524831
+0.0533703
+0.0543315
+0.0534024
+0.0512487
+0.0490983
+0.0469517
+0.0448093
+0.0426719
+0.0405401
+0.0384149
+0.0362976
+0.0341894
+0.0320924
+0.0300087
+0.0279414
+0.0258944
+0.0238729
+0.021884
+0.0199375
+0.018047
+0.0162204
+0.0144764
+0.0128698
+0.0114415
+0.0102334
+0.00930372
+0.00857852
+0.00828348
+0.00840691
+0.00848561
+0.00812344
+0.00797712
+0.00822847
+0.00847809
+0.00830592
+0.00851114
+0.0083898
+0.00819133
+0.00823872
+0.00862192
+0.0093992
+0.010527
+0.0119116
+0.0135112
+0.0152584
+0.0170877
+0.0163738
+0.0150973
+0.0139972
+0.0131584
+0.0125886
+0.0123855
+0.0125327
+0.0127367
+0.0121227
+0.0118159
+0.0119034
+0.0123841
+0.0132151
+0.0143356
+0.0156564
+0.0171372
+0.0181488
+0.0192527
+0.0205267
+0.021946
+0.0234841
+0.0251113
+0.0268013
+0.028559
+0.0303705
+0.0322291
+0.0341271
+0.0350623
+0.0344586
+0.0339801
+0.0336363
+0.0334066
+0.0333066
+0.0333353
+0.0335069
+0.0337936
+0.0342179
+0.0347752
+0.0517902
+0.0513358
+0.0509585
+0.0506732
+0.0504814
+0.0503842
+0.0503822
+0.0504753
+0.0506631
+0.0509445
+0.0513179
+0.0517814
+0.0523315
+0.0529502
+0.0536512
+0.0544313
+0.0552873
+0.0559542
+0.0538135
+0.051677
+0.0495452
+0.0474188
+0.0452985
+0.0431852
+0.0410801
+0.0389844
+0.0368997
+0.0348281
+0.0327719
+0.0307343
+0.0287193
+0.0267319
+0.0247789
+0.0228689
+0.0210126
+0.019205
+0.0174843
+0.0158798
+0.0144303
+0.0131578
+0.0121218
+0.0113077
+0.010712
+0.0104652
+0.0105881
+0.0105288
+0.0102401
+0.0101332
+0.0103402
+0.0106174
+0.0104667
+0.0105699
+0.0105506
+0.0103431
+0.0103891
+0.0107098
+0.0113462
+0.0123327
+0.0135686
+0.0149924
+0.0165843
+0.0183003
+0.0178164
+0.016623
+0.0156306
+0.0148637
+0.0143618
+0.0141841
+0.0143117
+0.0143499
+0.0137727
+0.0134968
+0.0135735
+0.0139969
+0.0147372
+0.0157498
+0.0169861
+0.0183783
+0.0193709
+0.0204107
+0.0216166
+0.0229686
+0.0244425
+0.0260097
+0.0276449
+0.0293525
+0.0311207
+0.0329398
+0.0347999
+0.0361248
+0.0355365
+0.0350725
+0.0347324
+0.0345096
+0.0344227
+0.0344505
+0.0346172
+0.0348948
+0.0353058
+0.0358462
+0.0538515
+0.053411
+0.0530484
+0.0527744
+0.0525902
+0.0524969
+0.052495
+0.0525844
+0.0527647
+0.0530349
+0.0533937
+0.0538394
+0.0543697
+0.0549692
+0.0556448
+0.0563974
+0.057224
+0.0564318
+0.0543099
+0.0521937
+0.0500839
+0.0479814
+0.0458871
+0.0438023
+0.0417283
+0.0396669
+0.03762
+0.0355903
+0.0335808
+0.0315955
+0.0296391
+0.0277177
+0.0258393
+0.0240018
+0.0222207
+0.020519
+0.0189182
+0.0174461
+0.0161276
+0.0149981
+0.014088
+0.0133703
+0.012855
+0.0126501
+0.0127724
+0.0126079
+0.012349
+0.0122797
+0.0124724
+0.0127692
+0.0125819
+0.012673
+0.0127072
+0.0124783
+0.0125166
+0.0128319
+0.0133689
+0.0142157
+0.0153312
+0.0166182
+0.0180495
+0.0196216
+0.0193828
+0.0182843
+0.017387
+0.0166828
+0.0162372
+0.0160802
+0.016192
+0.0160844
+0.015551
+0.0153072
+0.0153748
+0.0157499
+0.0164113
+0.0173264
+0.0184573
+0.0197428
+0.0207477
+0.0217228
+0.0228649
+0.0241472
+0.0255531
+0.0270561
+0.0286316
+0.0302836
+0.0320004
+0.0337721
+0.0355905
+0.0372858
+0.0367134
+0.0362644
+0.0359284
+0.0357131
+0.0356281
+0.035655
+0.0358162
+0.0360954
+0.0364929
+0.037016
+0.0559226
+0.055495
+0.0551461
+0.0548826
+0.0547055
+0.0546159
+0.054614
+0.0546999
+0.0548732
+0.0551331
+0.0554784
+0.0559074
+0.0564183
+0.057001
+0.0576527
+0.0583794
+0.0590965
+0.0569896
+0.0548893
+0.0527964
+0.0507117
+0.0486363
+0.0465715
+0.0445187
+0.0424797
+0.0404566
+0.0384518
+0.0364684
+0.0345101
+0.0325814
+0.0306879
+0.0288329
+0.027015
+0.0252564
+0.0235703
+0.0219733
+0.0204865
+0.019129
+0.0179308
+0.0169222
+0.0160995
+0.0154682
+0.0150118
+0.0148366
+0.0149586
+0.0147129
+0.0144822
+0.0144325
+0.0146219
+0.014893
+0.0147191
+0.0148015
+0.0148262
+0.0146299
+0.0146611
+0.0149373
+0.0154375
+0.0161764
+0.0171418
+0.018272
+0.0195828
+0.0210406
+0.0210584
+0.0200476
+0.0192205
+0.0185784
+0.0181793
+0.0180393
+0.0181421
+0.017908
+0.0174234
+0.0172062
+0.0172664
+0.0176013
+0.0181955
+0.0190249
+0.0200548
+0.0212413
+0.0222553
+0.0231671
+0.0242431
+0.02546
+0.0267972
+0.0282341
+0.0297472
+0.0313405
+0.0330024
+0.034723
+0.036494
+0.0383084
+0.0379802
+0.0375464
+0.0372151
+0.0370072
+0.0369244
+0.0369503
+0.0371058
+0.037386
+0.0377699
+0.0382756
+0.0580025
+0.0575869
+0.0572508
+0.056997
+0.0568265
+0.0567402
+0.0567384
+0.0568211
+0.056988
+0.0572383
+0.0575709
+0.0579845
+0.0584772
+0.0590441
+0.0596735
+0.0603759
+0.0597099
+0.0576254
+0.0555492
+0.053482
+0.0514251
+0.0493798
+0.0473474
+0.0453297
+0.0433289
+0.0413474
+0.039388
+0.0374542
+0.0355502
+0.0336812
+0.0318411
+0.0300455
+0.0283056
+0.0266323
+0.025039
+0.0235419
+0.022157
+0.0209029
+0.0198123
+0.0189043
+0.0181526
+0.0175887
+0.0171771
+0.0170243
+0.0171459
+0.0168241
+0.0166303
+0.016592
+0.0167801
+0.0170149
+0.0168679
+0.0169459
+0.0169629
+0.0167917
+0.0168175
+0.0170638
+0.0175358
+0.0181684
+0.0190037
+0.0200291
+0.0212317
+0.0225833
+0.0228085
+0.0218774
+0.0211146
+0.0205318
+0.0201714
+0.0200453
+0.0201417
+0.0197984
+0.0193612
+0.019166
+0.0192201
+0.0195214
+0.0200589
+0.0208141
+0.0217534
+0.0228518
+0.023869
+0.0247214
+0.0257325
+0.0268844
+0.028157
+0.0295277
+0.0309777
+0.0325108
+0.0341157
+0.0357828
+0.0375038
+0.0392716
+0.0393284
+0.0389062
+0.0385833
+0.0383829
+0.0383021
+0.0383271
+0.0384771
+0.0387505
+0.039127
+0.0396154
+0.0600883
+0.0596859
+0.0593617
+0.0591169
+0.0589526
+0.0588694
+0.0588677
+0.0589474
+0.0591083
+0.0593497
+0.0596705
+0.0600696
+0.0605454
+0.061096
+0.0617058
+0.0623854
+0.0603965
+0.0583366
+0.0562866
+0.0542476
+0.0522208
+0.0502079
+0.0482104
+0.0462305
+0.0442704
+0.0423329
+0.0404213
+0.0385394
+0.0366863
+0.034865
+0.0330885
+0.0313644
+0.0297018
+0.0281118
+0.0266072
+0.0252021
+0.023907
+0.0227496
+0.0217518
+0.0209258
+0.0202345
+0.0197244
+0.0193481
+0.0192126
+0.019326
+0.0189533
+0.018787
+0.0187587
+0.0189287
+0.0191502
+0.0190224
+0.0191008
+0.0191119
+0.01896
+0.0189818
+0.0192046
+0.019605
+0.0201661
+0.0209223
+0.0218646
+0.0229713
+0.024226
+0.0246253
+0.0237655
+0.0230613
+0.0225289
+0.022201
+0.0220864
+0.0221774
+0.0217391
+0.0213417
+0.0211648
+0.0212138
+0.0214871
+0.0219766
+0.0226681
+0.0235334
+0.0245524
+0.0255654
+0.026363
+0.0273134
+0.0284013
+0.0296115
+0.0309226
+0.0323101
+0.0337827
+0.0353299
+0.0369423
+0.0386116
+0.0403309
+0.0407498
+0.0403361
+0.0400247
+0.0398315
+0.0397529
+0.039777
+0.0399215
+0.0401851
+0.0405541
+0.0410254
+0.0621801
+0.0617913
+0.0614782
+0.0612419
+0.0610833
+0.061003
+0.0610013
+0.0610783
+0.0612336
+0.0614666
+0.0617764
+0.062162
+0.0626219
+0.0631544
+0.0637487
+0.0631979
+0.0611539
+0.0591204
+0.0570986
+0.0550896
+0.053095
+0.0511165
+0.049156
+0.0472157
+0.0452983
+0.0434067
+0.0415438
+0.0397038
+0.0379009
+0.0361408
+0.0344302
+0.0327767
+0.0311896
+0.0296794
+0.0282584
+0.0269324
+0.0257246
+0.0246527
+0.023735
+0.0229645
+0.0223363
+0.0218649
+0.0215232
+0.0214014
+0.0214306
+0.0210951
+0.0209486
+0.0209304
+0.0210813
+0.0212967
+0.0211819
+0.021263
+0.0212693
+0.021133
+0.0211515
+0.0213543
+0.0216915
+0.0222003
+0.0228893
+0.0237604
+0.0247826
+0.0259499
+0.0264988
+0.0257018
+0.0250475
+0.0245582
+0.0242577
+0.0241529
+0.0242339
+0.0237234
+0.0233598
+0.0231982
+0.0232429
+0.0234927
+0.0239412
+0.0245775
+0.0253778
+0.0263255
+0.0273127
+0.0280607
+0.0289554
+0.0299838
+0.0311326
+0.032389
+0.0337323
+0.0351453
+0.036635
+0.0381923
+0.0398093
+0.041479
+0.042237
+0.0418318
+0.0415317
+0.0413455
+0.041269
+0.0412922
+0.0414314
+0.0416855
+0.0420469
+0.0425017
+0.0642784
+0.0639024
+0.0635997
+0.0633713
+0.0632181
+0.0631405
+0.0631389
+0.0632132
+0.0633633
+0.0635885
+0.063888
+0.0642609
+0.0647059
+0.0652215
+0.0658011
+0.0639972
+0.0619796
+0.0599741
+0.057982
+0.0560048
+0.054044
+0.0521015
+0.0501795
+0.0482803
+0.0464069
+0.0445557
+0.0427329
+0.0409461
+0.0392003
+0.0375013
+0.0358557
+0.0342711
+0.0327564
+0.0313218
+0.0299727
+0.0287257
+0.0275965
+0.0266001
+0.0257519
+0.0250259
+0.0244508
+0.0240118
+0.0237011
+0.0235905
+0.0234988
+0.0232461
+0.0231137
+0.0231057
+0.0232395
+0.0234513
+0.0233472
+0.0234287
+0.023433
+0.0233093
+0.0233252
+0.0235064
+0.0237966
+0.0242617
+0.0248938
+0.0256976
+0.0266509
+0.0277397
+0.0284169
+0.0276742
+0.0270554
+0.0266031
+0.0263259
+0.0262294
+0.0262331
+0.0257412
+0.0254065
+0.025258
+0.0252991
+0.0255288
+0.025942
+0.0265304
+0.0272734
+0.0281574
+0.0291199
+0.0298225
+0.0306659
+0.0316387
+0.0327295
+0.0339268
+0.0352198
+0.0365885
+0.0380216
+0.0395243
+0.0410889
+0.0427086
+0.0437831
+0.0433867
+0.0430974
+0.042918
+0.0428435
+0.0428659
+0.043
+0.0432448
+0.043598
+0.0440375
+0.0663827
+0.0660187
+0.0657258
+0.0655048
+0.0653565
+0.0652815
+0.0652799
+0.0653518
+0.065497
+0.0657149
+0.0660048
+0.0663658
+0.0667967
+0.0672963
+0.0668632
+0.0648607
+0.0628708
+0.0608946
+0.0589337
+0.0569895
+0.0550637
+0.0531585
+0.0512761
+0.0494168
+0.0475785
+0.0457712
+0.0439987
+0.0422655
+0.0405765
+0.0389376
+0.0373553
+0.035837
+0.0343914
+0.0330237
+0.0317454
+0.0305708
+0.0295122
+0.0285827
+0.0277951
+0.0271067
+0.0265767
+0.026166
+0.0258811
+0.0257799
+0.0255873
+0.0253852
+0.0252828
+0.0252684
+0.0254033
+0.0256121
+0.0255168
+0.0255977
+0.0256012
+0.0254881
+0.0255017
+0.0256497
+0.025916
+0.026344
+0.0269272
+0.0276721
+0.028565
+0.0295835
+0.0303698
+0.0296651
+0.0290886
+0.0286685
+0.0284114
+0.028322
+0.0282418
+0.0277852
+0.0274754
+0.0273381
+0.0273761
+0.0275885
+0.0279713
+0.0285178
+0.0292104
+0.0300374
+0.0309765
+0.031638
+0.0324342
+0.0333555
+0.0343918
+0.0355332
+0.0367697
+0.0380922
+0.0394812
+0.0409303
+0.0424431
+0.044013
+0.0453776
+0.0449945
+0.0447156
+0.0445428
+0.0444702
+0.0444918
+0.044621
+0.044857
+0.045198
+0.0456268
+0.0684925
+0.0681397
+0.0678559
+0.0676419
+0.0674984
+0.0674257
+0.0674242
+0.0674938
+0.0676344
+0.0678454
+0.0681262
+0.0684761
+0.0688938
+0.0693782
+0.067761
+0.0657858
+0.0638248
+0.0618791
+0.0599503
+0.0580402
+0.0561505
+0.0542834
+0.0524339
+0.0506104
+0.048817
+0.0470573
+0.0453351
+0.043655
+0.0420219
+0.0404416
+0.0389205
+0.0374657
+0.0360828
+0.0347789
+0.0335675
+0.0324589
+0.0314639
+0.0305937
+0.029848
+0.0292036
+0.0287123
+0.0283258
+0.0280629
+0.0279696
+0.0276917
+0.0275049
+0.0274177
+0.0274208
+0.0275576
+0.0277655
+0.0276776
+0.0277585
+0.027773
+0.0276687
+0.0276805
+0.0278005
+0.0280463
+0.0284426
+0.0289836
+0.0296769
+0.030512
+0.0314718
+0.0323531
+0.0316823
+0.0311433
+0.0307512
+0.0305117
+0.0304285
+0.0302758
+0.029844
+0.0295558
+0.0294282
+0.0294635
+0.0296609
+0.0300174
+0.0305273
+0.031181
+0.031957
+0.032861
+0.0334984
+0.0342513
+0.035125
+0.0361106
+0.0371993
+0.0383822
+0.0396509
+0.0409976
+0.0424029
+0.0438649
+0.0453857
+0.0469593
+0.0466498
+0.0463808
+0.0462142
+0.0461436
+0.0461644
+0.046289
+0.0465165
+0.0468454
+0.0472642
+0.0706072
+0.070265
+0.0699898
+0.0697824
+0.0696432
+0.0695728
+0.0695713
+0.0696388
+0.069775
+0.0699796
+0.0702519
+0.0705912
+0.0709965
+0.070678
+0.0687169
+0.06677
+0.0648387
+0.0629244
+0.0610287
+0.0591534
+0.0572967
+0.05546
+0.0536498
+0.051869
+0.0501207
+0.0484084
+0.0467361
+0.0451081
+0.0435296
+0.042006
+0.0405436
+0.039148
+0.0378229
+0.0365811
+0.0354313
+0.0343829
+0.0334452
+0.0326279
+0.0319152
+0.0313133
+0.0308557
+0.03049
+0.0302459
+0.0301074
+0.0298085
+0.0296349
+0.0295531
+0.0295789
+0.0297057
+0.0299155
+0.0298339
+0.0298868
+0.0299475
+0.0298509
+0.029861
+0.029957
+0.0301853
+0.0305533
+0.0310576
+0.0317056
+0.0324886
+0.0333965
+0.0343597
+0.0337213
+0.0332153
+0.032848
+0.0326239
+0.0325461
+0.0323303
+0.0319201
+0.0316507
+0.0315317
+0.0315646
+0.031749
+0.0320822
+0.0325598
+0.0331754
+0.0339095
+0.0347628
+0.0353966
+0.03611
+0.0369397
+0.0378781
+0.0389174
+0.0400496
+0.0412671
+0.0425626
+0.0439292
+0.0453481
+0.0468206
+0.0483476
+0.0483477
+0.0480882
+0.0479276
+0.0478588
+0.0478789
+0.047999
+0.0482184
+0.0485358
+0.0489449
+0.0727263
+0.0723942
+0.0721271
+0.0719258
+0.0717908
+0.0717225
+0.0717211
+0.0717866
+0.0719187
+0.0721172
+0.0723815
+0.0727109
+0.0731044
+0.071662
+0.0697285
+0.0678107
+0.0659099
+0.0640277
+0.062165
+0.0603175
+0.0584936
+0.0566956
+0.0549262
+0.0531881
+0.0514846
+0.0498192
+0.0481959
+0.0466189
+0.0450933
+0.0436244
+0.042218
+0.040875
+0.0396077
+0.0384236
+0.0373307
+0.0363371
+0.0354511
+0.0346811
+0.0339978
+0.0334335
+0.0330052
+0.0326577
+0.0324299
+0.0322144
+0.0319352
+0.0317731
+0.0316961
+0.0317414
+0.0318596
+0.0320709
+0.0319949
+0.0320234
+0.0321242
+0.0320341
+0.0320347
+0.0321181
+0.0323312
+0.0326709
+0.033143
+0.0337509
+0.0344876
+0.0353448
+0.036313
+0.0357781
+0.0353017
+0.0349562
+0.0347458
+0.0346727
+0.0343973
+0.0340105
+0.0337579
+0.0336463
+0.0336771
+0.03385
+0.0341628
+0.0346116
+0.0351914
+0.0358895
+0.0366967
+0.0373268
+0.038004
+0.0387933
+0.0396879
+0.0406809
+0.0417653
+0.0429342
+0.0441809
+0.0454989
+0.0468823
+0.0483124
+0.0497936
+0.0500839
+0.0498335
+0.0496785
+0.0496115
+0.0496308
+0.0497467
+0.0499584
+0.0502649
+0.050664
+0.0748496
+0.074527
+0.0742676
+0.0740721
+0.073941
+0.0738747
+0.0738733
+0.0739368
+0.0740652
+0.0742579
+0.0745146
+0.0748346
+0.0746195
+0.0726987
+0.0707935
+0.0689054
+0.0670356
+0.0651811
+0.0633457
+0.0615336
+0.0597468
+0.0579877
+0.0562589
+0.0545633
+0.0529041
+0.0512848
+0.0497094
+0.048182
+0.0467075
+0.045291
+0.0439335
+0.0426446
+0.0414315
+0.0403011
+0.0392604
+0.0383169
+0.0374778
+0.0367474
+0.0360932
+0.0355622
+0.0351599
+0.0348283
+0.0346148
+0.0343319
+0.0340701
+0.0339181
+0.0338452
+0.0338964
+0.0340182
+0.0342309
+0.0341596
+0.034167
+0.0342836
+0.0342184
+0.0342036
+0.034283
+0.0344827
+0.0347969
+0.0352405
+0.0358129
+0.0365079
+0.0373188
+0.0382381
+0.03785
+0.0374
+0.0370741
+0.0368757
+0.0368069
+0.0364759
+0.0361128
+0.035875
+0.03577
+0.035799
+0.0359617
+0.0362563
+0.0366795
+0.0372271
+0.0378927
+0.0386581
+0.0392844
+0.0399284
+0.0406804
+0.0415343
+0.0424842
+0.0435237
+0.0446466
+0.0458467
+0.0471182
+0.0484554
+0.049853
+0.0512925
+0.0518545
+0.0516127
+0.051463
+0.0513977
+0.0514164
+0.0515282
+0.0517327
+0.0520287
+0.0524146
+0.0769767
+0.076663
+0.0764108
+0.0762208
+0.0760935
+0.076029
+0.0760277
+0.0760894
+0.0762141
+0.0764015
+0.076651
+0.0769621
+0.0756791
+0.0737859
+0.0719095
+0.0700497
+0.0682045
+0.0663804
+0.0645791
+0.0628026
+0.0610529
+0.0593326
+0.0576441
+0.0559905
+0.0543749
+0.0528007
+0.0512718
+0.0497924
+0.048367
+0.0469973
+0.0456898
+0.0444518
+0.0432894
+0.0422087
+0.0412162
+0.0403185
+0.0395219
+0.0388181
+0.0381994
+0.037698
+0.0373187
+0.0370013
+0.0368004
+0.0364581
+0.0362116
+0.0360685
+0.0359994
+0.0360474
+0.0361807
+0.0363945
+0.0363275
+0.0363161
+0.0364274
+0.0364034
+0.0363751
+0.036451
+0.0366386
+0.0369305
+0.0373488
+0.0378893
+0.0385469
+0.0393157
+0.0401894
+0.0399346
+0.0395083
+0.0392
+0.0390124
+0.0389473
+0.0385668
+0.0382251
+0.0380005
+0.0379014
+0.0379288
+0.0380824
+0.0383606
+0.0387609
+0.0392795
+0.0399117
+0.040643
+0.0412654
+0.041879
+0.0425965
+0.0434128
+0.0443225
+0.0453198
+0.0463993
+0.0475552
+0.0487821
+0.0500749
+0.0514285
+0.0528382
+0.0536562
+0.0534225
+0.0532779
+0.0532142
+0.0532322
+0.0533403
+0.0535378
+0.0538239
+0.0541971
+0.0791072
+0.078802
+0.0785567
+0.0783719
+0.078248
+0.0781854
+0.0781841
+0.0782441
+0.0783654
+0.0785476
+0.0787903
+0.0786686
+0.0767866
+0.0749213
+0.0730686
+0.0712343
+0.0694207
+0.0676294
+0.0658623
+0.0641213
+0.0624086
+0.0607267
+0.0590781
+0.0574658
+0.0558928
+0.0543626
+0.0528789
+0.0514457
+0.0500652
+0.0487416
+0.0474821
+0.0462921
+0.0451771
+0.0441426
+0.0431946
+0.0423388
+0.041581
+0.0409012
+0.0403145
+0.0398397
+0.039481
+0.0391762
+0.0389462
+0.0385914
+0.0383587
+0.0382235
+0.0381576
+0.038203
+0.0383464
+0.0385612
+0.0384809
+0.0384699
+0.0385764
+0.038589
+0.0385488
+0.0386215
+0.0387946
+0.0390704
+0.039466
+0.0399779
+0.0406017
+0.0413323
+0.0421642
+0.0420299
+0.0416251
+0.0413326
+0.0411547
+0.0410897
+0.0406682
+0.0403457
+0.040133
+0.0400392
+0.0400651
+0.0402105
+0.0404742
+0.0408537
+0.0413461
+0.0419472
+0.0426479
+0.0432667
+0.0438522
+0.044538
+0.0453193
+0.0461915
+0.0471493
+0.0481878
+0.0493018
+0.0504863
+0.0517365
+0.0530478
+0.0544156
+0.0554858
+0.0552598
+0.0551201
+0.0550579
+0.0550753
+0.0551798
+0.0553708
+0.0556474
+0.0560084
+0.0812409
+0.0809438
+0.080705
+0.0805251
+0.0804046
+0.0803436
+0.0803423
+0.0804008
+0.0805188
+0.0806961
+0.0809324
+0.0797947
+0.0779371
+0.076094
+0.0742698
+0.0724659
+0.0706839
+0.0689254
+0.0671924
+0.0654867
+0.0638107
+0.0621668
+0.0605574
+0.0589855
+0.0574542
+0.0559667
+0.0545266
+0.0531367
+0.0517989
+0.0505206
+0.0493066
+0.0481617
+0.047091
+0.0460995
+0.0451926
+0.0443753
+0.0436529
+0.042995
+0.0424373
+0.0419866
+0.0416463
+0.0413528
+0.0410672
+0.0407309
+0.0405105
+0.0403824
+0.0403194
+0.0403624
+0.0405147
+0.0407255
+0.0406381
+0.0406277
+0.0407299
+0.0407686
+0.0407243
+0.0407942
+0.0409543
+0.0412156
+0.0415908
+0.0420768
+0.04267
+0.0433658
+0.0441594
+0.0441346
+0.0437492
+0.043471
+0.0433019
+0.0431795
+0.0427786
+0.0424735
+0.0422715
+0.0421824
+0.042207
+0.0423451
+0.0425955
+0.0429563
+0.0434248
+0.0439975
+0.0446702
+0.0452855
+0.0458453
+0.0465016
+0.0472505
+0.0480876
+0.0490084
+0.0500083
+0.0510826
+0.0522268
+0.0534363
+0.0547068
+0.0560342
+0.0573408
+0.0571221
+0.056987
+0.0569263
+0.0569431
+0.0570441
+0.0572289
+0.0574966
+0.0578461
+0.0833776
+0.0830881
+0.0828555
+0.0826803
+0.0825629
+0.0825035
+0.0825023
+0.0825592
+0.0826741
+0.0828469
+0.082809
+0.0809583
+0.0791249
+0.0773102
+0.0755154
+0.073742
+0.0719916
+0.0702658
+0.0685667
+0.0668961
+0.0652563
+0.0636497
+0.0620788
+0.0605464
+0.0590555
+0.0576094
+0.0562111
+0.0548607
+0.053566
+0.0523309
+0.0511599
+0.0500574
+0.0490281
+0.0480766
+0.0472076
+0.0464259
+0.0457284
+0.0450981
+0.0445667
+0.0441377
+0.0438105
+0.0435309
+0.0431951
+0.0428755
+0.0426662
+0.0425445
+0.0424842
+0.0425249
+0.0426782
+0.0428854
+0.0427987
+0.0427888
+0.0428872
+0.0429434
+0.0429013
+0.0429687
+0.0431171
+0.0433653
+0.0437221
+0.0441847
+0.0447499
+0.0454138
+0.0461723
+0.0462472
+0.0458796
+0.0456143
+0.0454532
+0.0452788
+0.0448966
+0.0446073
+0.044415
+0.0443302
+0.0443536
+0.044485
+0.0447235
+0.0450673
+0.0455141
+0.0460608
+0.046704
+0.0473195
+0.0478555
+0.0484847
+0.0492034
+0.0500078
+0.0508939
+0.0518574
+0.0528942
+0.054
+0.0551706
+0.0564021
+0.0576905
+0.0590321
+0.059007
+0.0588761
+0.0588168
+0.0588331
+0.0589309
+0.0591098
+0.059369
+0.0597075
+0.0930888
+0.0912349
+0.0893961
+0.0875736
+0.0857683
+0.0839813
+0.0822139
+0.0804673
+0.0787429
+0.0770422
+0.0753668
+0.0737184
+0.0720989
+0.0705103
+0.0689547
+0.0674341
+0.065939
+0.0644837
+0.0630709
+0.0617036
+0.0603848
+0.0591094
+0.0578733
+0.0566869
+0.0555614
+0.0545008
+0.0535089
+0.0525896
+0.0517468
+0.0509843
+0.0503056
+0.0497143
+0.0492135
+0.048806
+0.0484831
+0.0482494
+0.0481144
+0.0480789
+0.0481433
+0.0483069
+0.048569
+0.0489278
+0.0493645
+0.0497426
+0.0502112
+0.0507541
+0.0513847
+0.0520886
+0.0526211
+0.0532385
+0.0539379
+0.0547161
+0.0555698
+0.056495
+0.0574733
+0.0585172
+0.0596234
+0.0607604
+0.0618905
+0.0630355
+0.0642183
+0.0648852
+0.0640127
+0.063204
+0.0624618
+0.0617884
+0.061186
+0.0606568
+0.0602027
+0.0598254
+0.0595264
+0.0593069
+0.0591677
+0.0591095
+0.0591324
+0.0592216
+0.0593906
+0.0596397
+0.0599678
+0.0603737
+0.0608401
+0.0613665
+0.061925
+0.0625512
+0.0632472
+0.0640106
+0.0648391
+0.0656723
+0.0664988
+0.0673863
+0.0683198
+0.0693093
+0.0703532
+0.071449
+0.0725864
+0.0737664
+0.0749919
+0.0762607
+0.0775705
+0.0789195
+0.0921329
+0.0902593
+0.0884002
+0.0865567
+0.0847298
+0.0829204
+0.0811299
+0.0793594
+0.0776104
+0.0758843
+0.0741827
+0.0725075
+0.0708603
+0.0692433
+0.0676585
+0.0661084
+0.0645954
+0.0631105
+0.061651
+0.0602283
+0.0588527
+0.0575276
+0.0562567
+0.0550416
+0.0538818
+0.0527875
+0.0517628
+0.050812
+0.0499391
+0.0491485
+0.0484442
+0.0478299
+0.0473091
+0.0468851
+0.0465522
+0.0463088
+0.0461681
+0.0461312
+0.0461982
+0.0463687
+0.0466416
+0.0470152
+0.0474848
+0.0479242
+0.0484025
+0.0489655
+0.0496188
+0.0501172
+0.0506704
+0.0513113
+0.0520365
+0.0528427
+0.0537262
+0.0546739
+0.0556842
+0.0567611
+0.0578821
+0.0589913
+0.0601219
+0.0612827
+0.0624986
+0.0634468
+0.0625542
+0.0617265
+0.0609662
+0.0602761
+0.0596585
+0.0591156
+0.0586496
+0.0582622
+0.0579552
+0.0577297
+0.0575867
+0.0575269
+0.0575504
+0.0576415
+0.0578151
+0.0580709
+0.0584078
+0.058816
+0.0592794
+0.0598075
+0.0603763
+0.0610185
+0.0617317
+0.0625137
+0.0632902
+0.0640726
+0.0649194
+0.0658206
+0.0667753
+0.0677874
+0.0688544
+0.0699684
+0.0711244
+0.0723283
+0.0735777
+0.0748704
+0.0762042
+0.0775255
+0.0912195
+0.0893267
+0.0874479
+0.0855839
+0.0837357
+0.0819044
+0.0800911
+0.0782971
+0.0765238
+0.0747727
+0.0730452
+0.0713433
+0.0696686
+0.0680232
+0.0664094
+0.0648294
+0.0632578
+0.0617167
+0.0602159
+0.0587584
+0.0573475
+0.0559869
+0.0546802
+0.0534313
+0.0522402
+0.0511107
+0.0500517
+0.0490677
+0.0481633
+0.047343
+0.0466114
+0.0459726
+0.0454306
+0.0449888
+0.0446453
+0.0443914
+0.0442447
+0.0442061
+0.0442761
+0.044454
+0.0447386
+0.0451278
+0.045606
+0.0461352
+0.0466266
+0.0472107
+0.0476763
+0.048158
+0.0487334
+0.0493995
+0.0501524
+0.0509884
+0.0519034
+0.0528809
+0.0539248
+0.0550276
+0.0561133
+0.05722
+0.0583638
+0.0595588
+0.0608093
+0.0620524
+0.0611395
+0.0602923
+0.0595138
+0.0588066
+0.0581733
+0.0576165
+0.0571382
+0.0567406
+0.0564253
+0.0561936
+0.0560467
+0.0559852
+0.0560091
+0.0561023
+0.0562807
+0.0565435
+0.0568846
+0.0572799
+0.0577556
+0.0582849
+0.0588684
+0.0595269
+0.0602578
+0.0609723
+0.0617063
+0.0625084
+0.0633744
+0.0642908
+0.0652679
+0.066303
+0.067391
+0.0685205
+0.0697005
+0.0709286
+0.0722023
+0.0735192
+0.0748293
+0.0761171
+0.09035
+0.0884386
+0.0865405
+0.0846565
+0.0827876
+0.0809349
+0.0790994
+0.0772824
+0.0754853
+0.0737094
+0.0719565
+0.0702281
+0.0685262
+0.0668527
+0.065194
+0.0635488
+0.0619375
+0.0603627
+0.0588273
+0.0573345
+0.0558877
+0.0544907
+0.0531472
+0.0518614
+0.0506373
+0.0494713
+0.0483764
+0.0473576
+0.0464199
+0.0455683
+0.0448077
+0.0441428
+0.043578
+0.0431172
+0.0427639
+0.0425005
+0.0423472
+0.0423069
+0.04238
+0.0425658
+0.042863
+0.0432653
+0.0437563
+0.0443501
+0.0448874
+0.0453145
+0.0457161
+0.0462182
+0.0468176
+0.0475104
+0.0482928
+0.0491604
+0.0501089
+0.051116
+0.0521952
+0.05326
+0.0543366
+0.0554644
+0.0566358
+0.0578665
+0.0591528
+0.0604807
+0.0597716
+0.0589047
+0.0581076
+0.0573831
+0.056734
+0.0561628
+0.0556721
+0.0552639
+0.0549401
+0.0547022
+0.0545513
+0.0544881
+0.054512
+0.0546078
+0.054791
+0.0550565
+0.055379
+0.055785
+0.0562734
+0.0568061
+0.0574046
+0.0580796
+0.0587264
+0.0594073
+0.0601604
+0.0609828
+0.0618616
+0.0628001
+0.0638001
+0.0648582
+0.0659592
+0.0671128
+0.0683172
+0.0695697
+0.0708648
+0.0721654
+0.0734346
+0.0747465
+0.0891745
+0.0875963
+0.0856795
+0.0837762
+0.0818872
+0.0800136
+0.0781565
+0.0763171
+0.0744967
+0.0726967
+0.0709187
+0.0691644
+0.067431
+0.0656959
+0.0639887
+0.0623117
+0.0606676
+0.0590589
+0.0574887
+0.0559602
+0.054477
+0.0530427
+0.0516616
+0.0503379
+0.0490758
+0.0478718
+0.0467394
+0.0456841
+0.0447113
+0.0438265
+0.0430352
+0.0423425
+0.0417533
+0.0412722
+0.0409029
+0.0406286
+0.0404682
+0.0404261
+0.0405025
+0.0406969
+0.0410076
+0.0414269
+0.0419393
+0.0425586
+0.0430151
+0.0433582
+0.0437778
+0.0443019
+0.0449268
+0.0456484
+0.0464621
+0.0473633
+0.0483393
+0.0493819
+0.0504355
+0.051478
+0.0525876
+0.0537325
+0.0549409
+0.0562087
+0.0575211
+0.0588808
+0.0584387
+0.0575671
+0.0567512
+0.0560091
+0.0553439
+0.0547582
+0.0542548
+0.0538359
+0.0535034
+0.0532591
+0.0531041
+0.0530392
+0.0530551
+0.0531535
+0.0533295
+0.0535892
+0.0539205
+0.0543374
+0.0548387
+0.0553744
+0.0559882
+0.056561
+0.0571839
+0.0578829
+0.0586556
+0.0594864
+0.0603806
+0.0613401
+0.0623618
+0.0634317
+0.0645562
+0.0657344
+0.0669637
+0.0682396
+0.0695375
+0.070786
+0.0720795
+0.0734156
+0.0877134
+0.0863732
+0.0848664
+0.0829444
+0.081036
+0.0791423
+0.0772642
+0.075403
+0.07356
+0.0717365
+0.0699341
+0.068128
+0.0663388
+0.0645743
+0.0628367
+0.0611282
+0.0594513
+0.0578087
+0.0562036
+0.0546392
+0.0531191
+0.0516471
+0.0502277
+0.0488652
+0.047564
+0.0463207
+0.0451494
+0.0440561
+0.0430465
+0.0421267
+0.0413028
+0.0405805
+0.0399654
+0.0394625
+0.0390761
+0.0387889
+0.0386209
+0.0385767
+0.0386568
+0.0388605
+0.0391857
+0.0396243
+0.0401598
+0.0407682
+0.0410711
+0.0414254
+0.0418644
+0.0424121
+0.0430644
+0.0438167
+0.0446638
+0.0456006
+0.0466049
+0.0476452
+0.0486488
+0.0497287
+0.0508521
+0.0520352
+0.0532821
+0.0545769
+0.0559223
+0.0573199
+0.0571435
+0.0562543
+0.0554358
+0.0546884
+0.0540069
+0.0534066
+0.0528903
+0.0524605
+0.0521193
+0.0518684
+0.0517092
+0.0516336
+0.0516418
+0.0517303
+0.0519058
+0.0521727
+0.0525129
+0.0529409
+0.0534317
+0.0539908
+0.0544859
+0.055045
+0.0556848
+0.0564003
+0.0571751
+0.0580223
+0.0589387
+0.0599208
+0.0609538
+0.0620458
+0.063195
+0.0643982
+0.0656525
+0.0669498
+0.0681753
+0.0694484
+0.0707663
+0.072124
+0.0862673
+0.084923
+0.0835928
+0.0821626
+0.0802356
+0.0783225
+0.0764243
+0.0745422
+0.0726727
+0.0708018
+0.0689498
+0.067118
+0.0653019
+0.0635086
+0.0617409
+0.0600012
+0.0582919
+0.0566158
+0.0549758
+0.0533754
+0.0518182
+0.0503083
+0.0488499
+0.0474479
+0.0461067
+0.044823
+0.0436115
+0.0424786
+0.0414306
+0.0404742
+0.0396159
+0.0388623
+0.0382195
+0.0376933
+0.0372886
+0.0369875
+0.0368113
+0.0367649
+0.036849
+0.0370626
+0.0374034
+0.0378626
+0.0384227
+0.0388352
+0.0391531
+0.0395195
+0.0399794
+0.0405526
+0.0412344
+0.0420194
+0.0429021
+0.0438708
+0.0448952
+0.0458543
+0.0468963
+0.047997
+0.0491511
+0.0503741
+0.0516492
+0.0529798
+0.0543647
+0.0558013
+0.0559031
+0.0549961
+0.0541591
+0.0533984
+0.0527175
+0.0521037
+0.0515743
+0.0511334
+0.0507833
+0.0505258
+0.0503624
+0.0502759
+0.0502713
+0.0503567
+0.0505371
+0.0508111
+0.0511604
+0.051586
+0.0520781
+0.0525078
+0.053001
+0.0535757
+0.0542232
+0.0549413
+0.0557363
+0.056605
+0.0575428
+0.058535
+0.0595909
+0.0607074
+0.0618815
+0.0631097
+0.064365
+0.0656008
+0.066851
+0.0681488
+0.0694914
+0.0708708
+0.0848531
+0.0834861
+0.0821547
+0.0808355
+0.0794876
+0.077556
+0.075619
+0.0736928
+0.0717817
+0.069887
+0.0680101
+0.0661524
+0.0643158
+0.0625012
+0.0607045
+0.0589342
+0.057193
+0.0554837
+0.0538093
+0.0521731
+0.0505789
+0.0490308
+0.0475332
+0.0460911
+0.0447093
+0.0433842
+0.0421315
+0.0409576
+0.0398696
+0.0388748
+0.0379804
+0.0371937
+0.0365216
+0.0359705
+0.0355462
+0.0352302
+0.0350451
+0.0349965
+0.0350848
+0.035309
+0.0356667
+0.036146
+0.0367165
+0.0369311
+0.0372652
+0.0376447
+0.0381272
+0.0387278
+0.0394411
+0.0402611
+0.0411815
+0.0421802
+0.0431014
+0.0440996
+0.045168
+0.046289
+0.0474847
+0.0487405
+0.0500546
+0.0514265
+0.0528521
+0.0543122
+0.0547224
+0.0537954
+0.0529422
+0.0521638
+0.0514669
+0.0508369
+0.0502942
+0.049842
+0.0494827
+0.0492184
+0.0490506
+0.0489652
+0.0489549
+0.0490426
+0.0492278
+0.049496
+0.0498537
+0.0501627
+0.0505219
+0.0509728
+0.051513
+0.0521081
+0.0527835
+0.0535322
+0.0543478
+0.0552358
+0.0561829
+0.0571983
+0.0582784
+0.0593889
+0.0605578
+0.0617823
+0.063059
+0.0642914
+0.0655666
+0.0668893
+0.0682567
+0.0696539
+0.0834565
+0.0820825
+0.080728
+0.0794108
+0.0781037
+0.0767876
+0.0748273
+0.0728801
+0.0709471
+0.0690295
+0.0671287
+0.0652459
+0.063383
+0.0615417
+0.059724
+0.0579304
+0.0561581
+0.0544163
+0.0527079
+0.0510365
+0.0494056
+0.0478195
+0.0462828
+0.0448005
+0.0433776
+0.0420105
+0.0407155
+0.0394996
+0.0383703
+0.0373355
+0.0364033
+0.0355817
+0.0348786
+0.0343012
+0.0338559
+0.0335241
+0.0333295
+0.0332783
+0.0333711
+0.0336068
+0.0339824
+0.0344754
+0.0348371
+0.0350604
+0.0354122
+0.0358057
+0.0363126
+0.0369428
+0.0376899
+0.0385472
+0.0395031
+0.040387
+0.0413406
+0.0423768
+0.0434594
+0.0446233
+0.0458567
+0.0471493
+0.0485065
+0.0499191
+0.0513685
+0.0528689
+0.0536052
+0.0526586
+0.0517874
+0.0509935
+0.0502777
+0.0496323
+0.0490763
+0.0486128
+0.0482443
+0.0479732
+0.0478
+0.0477031
+0.0476926
+0.0477826
+0.0479726
+0.0481351
+0.0483127
+0.0485869
+0.0489576
+0.0494228
+0.0499797
+0.0505962
+0.0512913
+0.0520527
+0.0528929
+0.0538092
+0.0547978
+0.0558446
+0.0569177
+0.0580537
+0.0592489
+0.0604998
+0.061781
+0.0630309
+0.0643312
+0.0656787
+0.0670708
+0.0684686
+0.0819753
+0.080699
+0.0793361
+0.0779954
+0.0766938
+0.0754003
+0.0740919
+0.0721249
+0.0701711
+0.0682317
+0.0663079
+0.0644012
+0.0625131
+0.0606454
+0.0588
+0.056979
+0.055185
+0.0534174
+0.0516761
+0.0499701
+0.0483033
+0.0466797
+0.0451042
+0.0435818
+0.0421178
+0.0407084
+0.0393706
+0.0381118
+0.0369401
+0.0358641
+0.0348926
+0.0340346
+0.0332988
+0.0326935
+0.032226
+0.0318756
+0.0316709
+0.031617
+0.0317147
+0.0319626
+0.0323569
+0.032849
+0.0329961
+0.0332289
+0.0335999
+0.0340084
+0.0345417
+0.0352036
+0.0359868
+0.0368837
+0.0377292
+0.0386243
+0.0396203
+0.0406688
+0.0417957
+0.0430026
+0.0442702
+0.0456078
+0.0470066
+0.0484441
+0.0499363
+0.0514785
+0.0525556
+0.0515897
+0.0507002
+0.049891
+0.0491571
+0.0484968
+0.0479276
+0.0474529
+0.0470754
+0.0467975
+0.046608
+0.0465094
+0.0464986
+0.0464686
+0.0464812
+0.0465803
+0.0467771
+0.0470602
+0.0474429
+0.0479228
+0.048497
+0.049128
+0.0498422
+0.0506244
+0.0514879
+0.0524287
+0.0534429
+0.0545107
+0.0556095
+0.0567717
+0.0579932
+0.0592603
+0.0605476
+0.0618224
+0.0631476
+0.0645199
+0.0659166
+0.0673337
+0.080516
+0.0792261
+0.0779671
+0.0766165
+0.0752911
+0.0740068
+0.0727284
+0.0714288
+0.0694555
+0.0674955
+0.0655502
+0.0636208
+0.0617088
+0.059816
+0.0579441
+0.0560954
+0.0542721
+0.0524769
+0.0507129
+0.0489786
+0.0472768
+0.0456167
+0.0440031
+0.0424413
+0.0409365
+0.039485
+0.0381042
+0.0368021
+0.0355873
+0.0344691
+0.0334571
+0.0325613
+0.0317914
+0.0311569
+0.030666
+0.0302952
+0.0300797
+0.030023
+0.0301259
+0.0303867
+0.0307937
+0.0310344
+0.0311998
+0.0314434
+0.0318352
+0.0322597
+0.0328215
+0.0335174
+0.0343391
+0.0351437
+0.0359697
+0.0369074
+0.0379261
+0.0390092
+0.0401826
+0.0414227
+0.0427371
+0.0441195
+0.0455427
+0.0470249
+0.0485607
+0.050137
+0.0515777
+0.0505932
+0.0496858
+0.0488599
+0.0481102
+0.0474353
+0.0468533
+0.0463675
+0.0459811
+0.045691
+0.0454898
+0.045235
+0.0450388
+0.0449486
+0.0449616
+0.0450641
+0.0452724
+0.0455773
+0.0459723
+0.0464674
+0.0470593
+0.0477123
+0.0484478
+0.0492522
+0.0501393
+0.051105
+0.0521449
+0.0532334
+0.0543581
+0.0555463
+0.0567834
+0.0580761
+0.0593694
+0.060669
+0.0620188
+0.0634133
+0.0648111
+0.0662518
+0.079089
+0.0777758
+0.0765028
+0.0752636
+0.0739261
+0.0726177
+0.0713526
+0.0700915
+0.0688022
+0.0668231
+0.0648576
+0.0629069
+0.0609726
+0.0590562
+0.0571595
+0.0552845
+0.0534335
+0.0516092
+0.0498144
+0.0480525
+0.0463271
+0.044636
+0.0429856
+0.0413854
+0.0398339
+0.0383406
+0.0369171
+0.0355716
+0.0343133
+0.0331521
+0.0320986
+0.0311638
+0.0303585
+0.0296933
+0.0291778
+0.0287948
+0.028568
+0.0285083
+0.0286166
+0.0288911
+0.0291479
+0.0292714
+0.0294553
+0.0297121
+0.0301194
+0.0305681
+0.0311604
+0.0318925
+0.0326474
+0.0333915
+0.0342598
+0.0352423
+0.0362732
+0.0374042
+0.0386138
+0.0399005
+0.0412629
+0.0426689
+0.0441389
+0.0456667
+0.0472354
+0.0488489
+0.050506
+0.0496734
+0.0487489
+0.0479068
+0.0471419
+0.046453
+0.0458585
+0.0453621
+0.0449005
+0.0444422
+0.0440825
+0.0437717
+0.0435689
+0.0434756
+0.0434927
+0.0436052
+0.0438205
+0.0441417
+0.0445495
+0.0450602
+0.0456704
+0.046357
+0.0471139
+0.0479408
+0.0488518
+0.0498424
+0.0508973
+0.0519973
+0.053149
+0.0543638
+0.0556327
+0.0569515
+0.0582498
+0.0595738
+0.0609479
+0.0623404
+0.0637617
+0.0652256
+0.0776616
+0.0763605
+0.0750634
+0.0738086
+0.0725885
+0.0712595
+0.0699698
+0.0687257
+0.067484
+0.0662163
+0.0642323
+0.062262
+0.060307
+0.0583687
+0.0564489
+0.0545496
+0.0526728
+0.0508212
+0.0489975
+0.0472051
+0.0454476
+0.0437292
+0.0420504
+0.0404106
+0.0388219
+0.0372881
+0.0358228
+0.0344346
+0.0331331
+0.031929
+0.0308338
+0.0298594
+0.0290179
+0.0283213
+0.0277803
+0.0273745
+0.0271358
+0.0270729
+0.027187
+0.0273249
+0.0274248
+0.0275697
+0.0277549
+0.0280382
+0.0284551
+0.0289436
+0.0295684
+0.0302598
+0.0309091
+0.031694
+0.0326075
+0.0336002
+0.03468
+0.0358526
+0.0371057
+0.0384429
+0.0398288
+0.0412837
+0.0428013
+0.0443604
+0.0459704
+0.0476268
+0.049325
+0.0488345
+0.0478597
+0.0469378
+0.0461017
+0.0453336
+0.0446411
+0.0440067
+0.0434287
+0.0429547
+0.0425884
+0.0423323
+0.0421481
+0.0420517
+0.0420693
+0.0422009
+0.042432
+0.0427651
+0.0431867
+0.0437133
+0.044342
+0.0450674
+0.0458458
+0.0466954
+0.0476302
+0.0486197
+0.0496729
+0.050797
+0.0519742
+0.0532125
+0.0545109
+0.0558579
+0.0571922
+0.0585393
+0.059928
+0.0613269
+0.0627712
+0.0642577
+0.0762343
+0.0749455
+0.0736612
+0.0723821
+0.0711474
+0.0698707
+0.0685875
+0.067343
+0.0660613
+0.0648044
+0.0635982
+0.0616882
+0.0597144
+0.0577563
+0.0558154
+0.0538937
+0.0519933
+0.0501165
+0.0482663
+0.0464456
+0.0446582
+0.0429083
+0.0411954
+0.0395202
+0.0378975
+0.0363346
+0.0348321
+0.0334027
+0.0320593
+0.0308134
+0.029677
+0.0286632
+0.0277856
+0.0270572
+0.0264725
+0.026042
+0.0257911
+0.0257249
+0.0257127
+0.0256674
+0.0257728
+0.0259415
+0.0261234
+0.0264245
+0.0268665
+0.027389
+0.0279679
+0.0285472
+0.0292316
+0.0300604
+0.0310065
+0.0320239
+0.033151
+0.034363
+0.0356685
+0.0370301
+0.0384661
+0.0399682
+0.0415175
+0.0431224
+0.044777
+0.046476
+0.0482146
+0.0474158
+0.0463955
+0.0454439
+0.0445798
+0.0438082
+0.0431294
+0.042514
+0.042
+0.0415296
+0.0411505
+0.0408855
+0.0407188
+0.0406647
+0.0407002
+0.0408361
+0.0410885
+0.0414373
+0.0418919
+0.0424346
+0.043082
+0.0438294
+0.0446493
+0.0455181
+0.0464351
+0.0474356
+0.0485135
+0.049648
+0.0508486
+0.0521138
+0.0534388
+0.054816
+0.0561945
+0.0575584
+0.0589545
+0.060376
+0.0618425
+0.0633342
+0.0748245
+0.0735126
+0.0722433
+0.0709944
+0.0697352
+0.068446
+0.067152
+0.0658941
+0.0646719
+0.0633974
+0.0621638
+0.060984
+0.0591917
+0.0572201
+0.0552615
+0.0533199
+0.0513982
+0.0494989
+0.0476247
+0.0457785
+0.043964
+0.0421852
+0.0404411
+0.0387333
+0.0370762
+0.0354771
+0.0339441
+0.0324859
+0.031103
+0.0298171
+0.0286412
+0.0275895
+0.0266765
+0.0259118
+0.0252827
+0.0248316
+0.0245683
+0.0242726
+0.0241424
+0.0240953
+0.0242065
+0.0244014
+0.024579
+0.0248992
+0.0252878
+0.0257073
+0.0263032
+0.0269009
+0.0276261
+0.0285016
+0.0294543
+0.0305235
+0.0316858
+0.0329518
+0.0342829
+0.0356932
+0.0371768
+0.0387138
+0.0403112
+0.0419581
+0.0436512
+0.045348
+0.0470575
+0.0460216
+0.0449762
+0.0440084
+0.0431155
+0.0423173
+0.0416192
+0.0410263
+0.0405102
+0.0400796
+0.0397629
+0.0395072
+0.0393379
+0.0392819
+0.039348
+0.0395355
+0.0398062
+0.0401805
+0.0406516
+0.041223
+0.0418896
+0.0426585
+0.043509
+0.0443594
+0.0452999
+0.0463208
+0.047407
+0.0485674
+0.0497941
+0.0510854
+0.0524364
+0.0538397
+0.0552589
+0.0566453
+0.0580474
+0.0594105
+0.0608087
+0.0622526
+0.0733081
+0.0719685
+0.0706716
+0.0694195
+0.0681932
+0.0669946
+0.0657422
+0.0644673
+0.063235
+0.0620318
+0.0607746
+0.0595673
+0.0584172
+0.0567477
+0.0547757
+0.052821
+0.0508855
+0.0489715
+0.0470764
+0.0452078
+0.0433694
+0.0415652
+0.0397933
+0.0380564
+0.0363685
+0.0347368
+0.0331696
+0.0316765
+0.0302672
+0.0289442
+0.0277313
+0.0266437
+0.0256971
+0.0248779
+0.024222
+0.0236379
+0.0231215
+0.0228047
+0.0226715
+0.0226262
+0.0227436
+0.0229674
+0.0231391
+0.0233865
+0.0236374
+0.0240857
+0.0247207
+0.0253371
+0.0261058
+0.0269958
+0.0279876
+0.0290924
+0.0302951
+0.0315789
+0.0329585
+0.0344224
+0.0359465
+0.0375289
+0.0391685
+0.0408086
+0.0424749
+0.0441759
+0.0457929
+0.0446556
+0.0435987
+0.0426222
+0.0417149
+0.0408894
+0.0401663
+0.0395513
+0.0390303
+0.0386227
+0.0383124
+0.0381009
+0.0380147
+0.0379752
+0.0380435
+0.0382374
+0.0385404
+0.0389527
+0.0394613
+0.0400696
+0.0407659
+0.0415555
+0.0424086
+0.0432806
+0.0442366
+0.0452668
+0.0463777
+0.0475632
+0.0488152
+0.0501317
+0.0515077
+0.0529358
+0.054374
+0.0556416
+0.0569638
+0.0583384
+0.0597617
+0.0612303
+0.0718141
+0.0704588
+0.0691335
+0.067853
+0.0665979
+0.0653701
+0.0641935
+0.0630068
+0.0618214
+0.0605852
+0.0593882
+0.0581985
+0.0570209
+0.0559043
+0.0543704
+0.0524006
+0.050449
+0.0485177
+0.0466095
+0.0447226
+0.0428631
+0.0410363
+0.0392468
+0.0374955
+0.0357811
+0.0341214
+0.0325245
+0.0310003
+0.0295589
+0.0282026
+0.0269564
+0.0258253
+0.0248353
+0.023908
+0.023034
+0.0223311
+0.0217967
+0.0214604
+0.0213234
+0.0212816
+0.0214052
+0.0216516
+0.0217081
+0.0217929
+0.0220619
+0.0225416
+0.0232189
+0.0238721
+0.0246731
+0.0255675
+0.0266071
+0.0277208
+0.0289531
+0.0302939
+0.0317292
+0.0332272
+0.0347963
+0.0363626
+0.0379712
+0.0396356
+0.0413231
+0.0430515
+0.044522
+0.0433513
+0.0422618
+0.04126
+0.0403523
+0.0395111
+0.0387611
+0.0381225
+0.0376007
+0.0371819
+0.0368841
+0.036708
+0.0366183
+0.0366595
+0.0368097
+0.0370101
+0.0373211
+0.0377491
+0.0382979
+0.0389468
+0.0396845
+0.0405175
+0.041395
+0.0422768
+0.0432428
+0.0442962
+0.0454308
+0.0466404
+0.0479165
+0.049257
+0.0506568
+0.0519257
+0.0531744
+0.0544772
+0.0558181
+0.0571754
+0.0585728
+0.060007
+0.0703238
+0.0689694
+0.0676314
+0.0663219
+0.0650373
+0.0637794
+0.062573
+0.061421
+0.0602439
+0.0591061
+0.0579383
+0.0567546
+0.0556131
+0.0545006
+0.0534401
+0.052069
+0.0501045
+0.0481594
+0.0462364
+0.0443336
+0.0424571
+0.040612
+0.0388029
+0.0370351
+0.0353147
+0.0336376
+0.0320166
+0.0304596
+0.0289802
+0.0275938
+0.0263071
+0.0250918
+0.0238855
+0.022809
+0.0218993
+0.0211642
+0.0204965
+0.020046
+0.0198099
+0.0197866
+0.0199743
+0.0202781
+0.0202176
+0.0203087
+0.0205971
+0.0211101
+0.0218318
+0.0225217
+0.023293
+0.0242375
+0.0252642
+0.0264298
+0.0277196
+0.0291134
+0.0305743
+0.032034
+0.0335733
+0.0351778
+0.0368272
+0.0385082
+0.0402383
+0.0420113
+0.0432592
+0.0420975
+0.0409985
+0.039965
+0.0390272
+0.0381922
+0.0374264
+0.036766
+0.036225
+0.0358096
+0.0354741
+0.0352717
+0.0352048
+0.035274
+0.0354787
+0.0357753
+0.0361514
+0.0366184
+0.0371998
+0.0378835
+0.0386582
+0.0395213
+0.0404595
+0.041352
+0.0423391
+0.0434144
+0.0445715
+0.0458038
+0.0471026
+0.0482843
+0.0494434
+0.0506527
+0.051916
+0.0532166
+0.0545395
+0.0559115
+0.0573165
+0.0587672
+0.0688151
+0.0674809
+0.0661463
+0.0648138
+0.0635138
+0.0622252
+0.060988
+0.0598055
+0.0586721
+0.0575121
+0.0564067
+0.0552875
+0.0541418
+0.0530346
+0.0519617
+0.0509409
+0.049854
+0.0478988
+0.0459648
+0.0440503
+0.0421611
+0.0403026
+0.0384789
+0.0366955
+0.0349583
+0.0332748
+0.0316259
+0.030044
+0.0285426
+0.0270131
+0.0255645
+0.0242119
+0.0229733
+0.0218519
+0.0207473
+0.019824
+0.0191084
+0.0186244
+0.0183759
+0.0183507
+0.0185383
+0.0187298
+0.0188643
+0.0189619
+0.0192704
+0.0198178
+0.0205849
+0.021228
+0.0220446
+0.0229624
+0.0240413
+0.0252631
+0.0265624
+0.0278897
+0.0293194
+0.0308385
+0.0324345
+0.0340635
+0.0357402
+0.03747
+0.0392459
+0.0410618
+0.0420517
+0.0408556
+0.0397444
+0.0387254
+0.0377464
+0.0368554
+0.0360641
+0.0353898
+0.0348288
+0.0343984
+0.0340931
+0.0338907
+0.033821
+0.0338931
+0.034106
+0.0344572
+0.0349308
+0.0354973
+0.0361508
+0.0368648
+0.0376821
+0.0386066
+0.0395925
+0.040515
+0.0414781
+0.0424884
+0.0435855
+0.044763
+0.0459173
+0.047023
+0.0481892
+0.0494008
+0.0506537
+0.0519518
+0.0532838
+0.054666
+0.0560858
+0.0575317
+0.0673228
+0.0659766
+0.0646616
+0.0633103
+0.0619849
+0.0607097
+0.0594416
+0.0582277
+0.0570721
+0.0559462
+0.054816
+0.0537438
+0.0526828
+0.0515828
+0.0505145
+0.0494848
+0.0485109
+0.0475209
+0.0456959
+0.0438318
+0.0419776
+0.0401105
+0.0382777
+0.0364844
+0.0347289
+0.0329361
+0.031194
+0.0295119
+0.0279004
+0.0263409
+0.0248531
+0.0234541
+0.0220386
+0.020754
+0.0196208
+0.018642
+0.0178791
+0.0173608
+0.0171029
+0.0169807
+0.016908
+0.0171177
+0.0175495
+0.0177838
+0.0181124
+0.0186937
+0.0194393
+0.0200904
+0.0208678
+0.0218318
+0.0228675
+0.0240137
+0.0252982
+0.0266884
+0.0281791
+0.0297565
+0.0313624
+0.0330309
+0.0347575
+0.0365338
+0.038353
+0.0402094
+0.0408593
+0.0396509
+0.0385051
+0.0374524
+0.0364799
+0.0355852
+0.0347716
+0.0340729
+0.0335032
+0.0330564
+0.0327488
+0.0325604
+0.0325164
+0.032601
+0.0328223
+0.033187
+0.0336695
+0.034279
+0.0350152
+0.0358702
+0.0367549
+0.0377025
+0.0385335
+0.0393787
+0.0402989
+0.0413149
+0.0424198
+0.0436068
+0.0446809
+0.0457821
+0.0469255
+0.0481303
+0.049403
+0.0507037
+0.052052
+0.0534283
+0.0548555
+0.0562976
+0.0658571
+0.0644903
+0.0631567
+0.0618405
+0.0604904
+0.059183
+0.0579183
+0.05669
+0.0554888
+0.0543494
+0.053252
+0.0521641
+0.0511244
+0.0501097
+0.049059
+0.0480152
+0.047044
+0.0461025
+0.0451107
+0.0432213
+0.0413616
+0.0395358
+0.0377427
+0.035948
+0.0341996
+0.0324541
+0.0307098
+0.0289995
+0.0273579
+0.0257858
+0.0242216
+0.0226427
+0.021173
+0.0198324
+0.0186482
+0.0176533
+0.0168461
+0.016295
+0.0158599
+0.0154969
+0.0154172
+0.0156469
+0.0161072
+0.0167283
+0.0171571
+0.017651
+0.0181733
+0.0187696
+0.0195856
+0.0205494
+0.0216091
+0.0228187
+0.0241583
+0.0256089
+0.0271589
+0.0287415
+0.030396
+0.0321148
+0.033888
+0.0357077
+0.0375669
+0.0394602
+0.0396089
+0.0383841
+0.037248
+0.036196
+0.0352041
+0.0343179
+0.0335443
+0.0328482
+0.0322569
+0.031798
+0.0314788
+0.031306
+0.0312604
+0.031368
+0.0316273
+0.0320138
+0.0325069
+0.0331378
+0.0338988
+0.0347813
+0.035766
+0.036605
+0.0373369
+0.0381807
+0.0391291
+0.0401516
+0.0412427
+0.0423718
+0.0434049
+0.0444895
+0.0456536
+0.0468911
+0.0481636
+0.0494541
+0.0507974
+0.0521695
+0.0535828
+0.0550284
+0.0644325
+0.0630349
+0.0616834
+0.0603366
+0.0590244
+0.0576664
+0.0563591
+0.055108
+0.0539168
+0.0527727
+0.0516663
+0.050602
+0.0495614
+0.0485615
+0.0475949
+0.0465633
+0.0455676
+0.0446574
+0.0437781
+0.0427055
+0.0408318
+0.0389812
+0.0371677
+0.0353968
+0.0336246
+0.0318993
+0.0302343
+0.0285903
+0.0269786
+0.0253471
+0.0236407
+0.0220202
+0.0205059
+0.0191185
+0.0178871
+0.0168517
+0.0160273
+0.0152613
+0.0145806
+0.0141903
+0.0141032
+0.0143539
+0.0148492
+0.0155198
+0.0159533
+0.016451
+0.0169375
+0.0175757
+0.0184125
+0.0193884
+0.0205081
+0.021766
+0.0231593
+0.0246687
+0.0262248
+0.0278565
+0.0295606
+0.0313253
+0.0331408
+0.0349993
+0.0368943
+0.0388204
+0.0384427
+0.0371795
+0.0360054
+0.0349294
+0.0339608
+0.033051
+0.0322545
+0.0315774
+0.0310371
+0.0306411
+0.0303133
+0.030138
+0.0301116
+0.0302233
+0.0304923
+0.0309009
+0.031441
+0.0321058
+0.0328907
+0.033714
+0.034579
+0.0353997
+0.0361309
+0.0369705
+0.0379003
+0.0389314
+0.0400558
+0.0411036
+0.0421336
+0.0432501
+0.0444372
+0.0456443
+0.0468911
+0.0481817
+0.0495125
+0.0508865
+0.0523045
+0.0537696
+0.0629674
+0.061623
+0.0602398
+0.0588757
+0.057545
+0.0561842
+0.0548431
+0.0535566
+0.0523301
+0.0511681
+0.0500628
+0.0489898
+0.0479927
+0.0470166
+0.0460643
+0.0451433
+0.0441367
+0.0432035
+0.0423558
+0.0414378
+0.0403575
+0.0384931
+0.0366554
+0.0348585
+0.0331091
+0.0314151
+0.0297442
+0.0281223
+0.0265735
+0.0249853
+0.0232524
+0.0216028
+0.020057
+0.0186362
+0.0173707
+0.0163025
+0.0152522
+0.0142559
+0.0135369
+0.0131156
+0.0130214
+0.0132707
+0.0138151
+0.0143329
+0.014892
+0.0153815
+0.0159028
+0.0165574
+0.0174104
+0.018406
+0.0195727
+0.0208827
+0.0222999
+0.0238072
+0.0254142
+0.0271031
+0.0288596
+0.030672
+0.0325242
+0.0344161
+0.0363415
+0.0382954
+0.0373467
+0.0360522
+0.0348413
+0.0337293
+0.0327264
+0.0318428
+0.031058
+0.0303541
+0.0297917
+0.0293789
+0.0290969
+0.0289783
+0.029025
+0.0291722
+0.0294507
+0.029886
+0.030457
+0.0311593
+0.0318316
+0.032562
+0.0333908
+0.0341507
+0.0349081
+0.035776
+0.036736
+0.0377988
+0.0388571
+0.0398508
+0.0408989
+0.0419957
+0.0431335
+0.0443401
+0.0455964
+0.0468908
+0.0482286
+0.0496201
+0.0510432
+0.0525168
+0.0614133
+0.0601464
+0.0588224
+0.0574501
+0.056097
+0.0547483
+0.0533728
+0.0520512
+0.0507884
+0.0495902
+0.04846
+0.0473896
+0.0463581
+0.0454089
+0.0445406
+0.0436443
+0.0427065
+0.0417491
+0.0407537
+0.0398346
+0.0389584
+0.0380859
+0.0362531
+0.0344353
+0.0326632
+0.0309448
+0.0292558
+0.0276067
+0.0260282
+0.0245068
+0.0230237
+0.0213735
+0.0198099
+0.018375
+0.017101
+0.015783
+0.0145321
+0.0134863
+0.012731
+0.0122887
+0.0121451
+0.0121331
+0.0124437
+0.0129921
+0.0137796
+0.0144069
+0.0149628
+0.015749
+0.0165557
+0.0175998
+0.0188227
+0.0201157
+0.0215532
+0.0231094
+0.0247617
+0.0264922
+0.0282866
+0.0301335
+0.0320237
+0.0339475
+0.0358903
+0.0375823
+0.0362347
+0.0349699
+0.0337636
+0.0326202
+0.0315821
+0.0306656
+0.0298818
+0.0292143
+0.0286599
+0.0282305
+0.0279369
+0.0278133
+0.027862
+0.028082
+0.0284693
+0.0289829
+0.029495
+0.0300183
+0.0306438
+0.0313816
+0.0321724
+0.0329909
+0.0337464
+0.0346119
+0.0355769
+0.0366383
+0.0376302
+0.0385815
+0.0395834
+0.0406613
+0.0418086
+0.0430297
+0.0443022
+0.0456111
+0.0469588
+0.0483599
+0.0498166
+0.051303
+0.0598972
+0.0585974
+0.0573519
+0.056041
+0.0546867
+0.0533229
+0.0519454
+0.0505948
+0.0492958
+0.0480605
+0.046895
+0.045798
+0.044771
+0.0437874
+0.0428933
+0.0420823
+0.0412274
+0.0401497
+0.0391556
+0.0382223
+0.0373731
+0.0365734
+0.0358135
+0.034049
+0.0322088
+0.0304145
+0.0286679
+0.0269829
+0.0253752
+0.0238445
+0.0223971
+0.0210491
+0.0197596
+0.0183415
+0.0168334
+0.0153742
+0.0141055
+0.0130336
+0.0121653
+0.0113385
+0.0108936
+0.0108802
+0.0112429
+0.0119062
+0.0127464
+0.0136886
+0.0142859
+0.0150906
+0.0159563
+0.0170074
+0.0181987
+0.0195319
+0.0210095
+0.0226031
+0.0242899
+0.0260511
+0.0278682
+0.0297346
+0.0316426
+0.0335775
+0.0355403
+0.0365458
+0.0351828
+0.0338814
+0.0326725
+0.0315428
+0.0305289
+0.0296039
+0.0287912
+0.0281214
+0.027547
+0.0271378
+0.0268909
+0.0267624
+0.0268129
+0.0270413
+0.0274433
+0.027931
+0.0283467
+0.0288972
+0.0295193
+0.0302395
+0.0309989
+0.0317736
+0.0325573
+0.0334287
+0.0344003
+0.0354735
+0.036314
+0.037248
+0.0382555
+0.0393491
+0.0405067
+0.0417412
+0.0430257
+0.0443438
+0.0457287
+0.0471427
+0.048571
+0.0499946
+0.0584176
+0.0570841
+0.0558049
+0.0545836
+0.0532075
+0.0518645
+0.050525
+0.0491686
+0.0478536
+0.0465835
+0.0453801
+0.0442525
+0.0431943
+0.0422174
+0.0412893
+0.0404586
+0.0397056
+0.0385966
+0.0375712
+0.0366283
+0.0357633
+0.0350128
+0.0342871
+0.0336231
+0.0317856
+0.029975
+0.0282087
+0.0265058
+0.0248794
+0.0233407
+0.0218826
+0.020532
+0.0193135
+0.0181503
+0.0167062
+0.0152348
+0.0138541
+0.0124449
+0.0112715
+0.010428
+0.00994329
+0.00992862
+0.0103422
+0.0111359
+0.0119728
+0.0131214
+0.013862
+0.0145714
+0.0154932
+0.0165462
+0.017787
+0.019174
+0.0206679
+0.0222774
+0.0239792
+0.0257549
+0.0275904
+0.0294745
+0.0313983
+0.0333474
+0.0353229
+0.0355456
+0.0341576
+0.0328437
+0.0316239
+0.0304879
+0.0294676
+0.0285482
+0.027744
+0.027059
+0.0265345
+0.0261419
+0.0258935
+0.0257961
+0.0258845
+0.0261225
+0.0264915
+0.0267969
+0.027191
+0.0277078
+0.0282742
+0.0289762
+0.0298229
+0.030601
+0.0313903
+0.032278
+0.0332833
+0.0341751
+0.0350017
+0.0359252
+0.0369488
+0.0380536
+0.039243
+0.0405109
+0.0417935
+0.0431203
+0.0444737
+0.045874
+0.0472658
+0.0486971
+0.0569068
+0.0555705
+0.0542897
+0.0530462
+0.0517456
+0.0503732
+0.0490505
+0.0477584
+0.0464323
+0.0451467
+0.0439104
+0.0427506
+0.0416722
+0.0406599
+0.0397413
+0.0388776
+0.0380779
+0.0370974
+0.0360294
+0.0350658
+0.0341943
+0.03341
+0.0327515
+0.0321223
+0.0314648
+0.0296709
+0.0279053
+0.0261843
+0.0245366
+0.0229749
+0.0215132
+0.0201838
+0.0189907
+0.0178543
+0.016714
+0.0150661
+0.0134374
+0.0119793
+0.0107552
+0.00987133
+0.00939832
+0.0093828
+0.00978293
+0.0106185
+0.0115682
+0.0126977
+0.0136477
+0.0143677
+0.0152439
+0.0163148
+0.0175817
+0.0189966
+0.020527
+0.0221468
+0.0238578
+0.025642
+0.027485
+0.0293758
+0.0313057
+0.0332602
+0.0352407
+0.0345881
+0.0331854
+0.0318499
+0.0306056
+0.0294647
+0.0284189
+0.0274982
+0.0267131
+0.0260662
+0.0255321
+0.0251454
+0.0249273
+0.0249008
+0.0250043
+0.0251679
+0.0253073
+0.0255913
+0.0259929
+0.0264925
+0.0270637
+0.0277963
+0.0286778
+0.029468
+0.0301878
+0.0310459
+0.032031
+0.0328768
+0.0337088
+0.0346594
+0.0357006
+0.0368357
+0.0380556
+0.0392883
+0.0405339
+0.0418535
+0.0432002
+0.0445724
+0.0459867
+0.0474507
+0.0554368
+0.0540641
+0.0527468
+0.051489
+0.0502842
+0.0489196
+0.0475706
+0.0462727
+0.0450348
+0.043738
+0.0424932
+0.0412937
+0.0401778
+0.0391501
+0.0382087
+0.0373582
+0.0364506
+0.035447
+0.0345381
+0.0335519
+0.0326623
+0.0318757
+0.0311849
+0.0306184
+0.0299851
+0.0291489
+0.0277407
+0.0260125
+0.0243583
+0.0227948
+0.0213418
+0.0199999
+0.018776
+0.0177136
+0.0164699
+0.0149711
+0.0133307
+0.0118604
+0.0106317
+0.00972549
+0.00920301
+0.00918716
+0.0096129
+0.010379
+0.0111998
+0.0122347
+0.0133575
+0.0144074
+0.0153041
+0.016374
+0.0176367
+0.0190475
+0.0205929
+0.0222194
+0.0239277
+0.0257093
+0.02755
+0.0294385
+0.0313657
+0.0333172
+0.035184
+0.0337089
+0.032268
+0.0309045
+0.0296398
+0.0284877
+0.0274258
+0.02647
+0.0256661
+0.0250248
+0.0245389
+0.0241942
+0.0239993
+0.0239718
+0.0239766
+0.0239484
+0.0240952
+0.0243682
+0.024788
+0.0252832
+0.0258812
+0.0266464
+0.0275615
+0.0281608
+0.0289141
+0.0297895
+0.0307858
+0.0316229
+0.0324865
+0.0334442
+0.0345124
+0.0356562
+0.0368229
+0.0380215
+0.0392771
+0.040582
+0.0419303
+0.0433169
+0.044761
+0.0462638
+0.0539744
+0.052599
+0.0512511
+0.0499557
+0.0487061
+0.0474847
+0.0461285
+0.0448026
+0.0435382
+0.0423381
+0.0410983
+0.0399039
+0.0387481
+0.0376831
+0.0367163
+0.0358022
+0.0348546
+0.0338296
+0.0328976
+0.032052
+0.0311856
+0.0303848
+0.0296972
+0.0291018
+0.0285226
+0.0276831
+0.0268297
+0.0259891
+0.0243561
+0.0227916
+0.0213345
+0.0199933
+0.0187791
+0.0174191
+0.0162418
+0.0151518
+0.0135526
+0.0121092
+0.0109086
+0.0100275
+0.00952159
+0.0094399
+0.00954296
+0.0100346
+0.0107754
+0.0115669
+0.0126916
+0.0140218
+0.0152688
+0.016629
+0.0178863
+0.0192998
+0.0208265
+0.0224517
+0.0241663
+0.0259327
+0.0277586
+0.0296339
+0.0315499
+0.0334996
+0.0340382
+0.0327316
+0.0313773
+0.0300702
+0.0287767
+0.0275886
+0.0265285
+0.0255821
+0.0247501
+0.0240879
+0.0236049
+0.0233035
+0.0230303
+0.0228489
+0.0227862
+0.0227332
+0.0228466
+0.0231675
+0.0236412
+0.0241682
+0.0247966
+0.0255812
+0.0262581
+0.0268865
+0.0276302
+0.0285009
+0.0294812
+0.0304624
+0.0313201
+0.0322746
+0.0333268
+0.0344085
+0.0355617
+0.0367713
+0.0380307
+0.0393512
+0.0407077
+0.0421273
+0.0436109
+0.0451475
+0.0525512
+0.0511374
+0.04978
+0.0484728
+0.0471674
+0.0459149
+0.0447228
+0.0433791
+0.0420807
+0.0408556
+0.0396942
+0.0385138
+0.0373402
+0.0362471
+0.0352353
+0.0342871
+0.0332923
+0.0322428
+0.0312895
+0.0304502
+0.0296652
+0.0289506
+0.0282638
+0.0276757
+0.0270537
+0.0262406
+0.0254283
+0.0246654
+0.0240454
+0.0229394
+0.021474
+0.0200904
+0.0186186
+0.0172791
+0.0160915
+0.0151192
+0.0139914
+0.0126857
+0.01154
+0.0106623
+0.0100329
+0.0095763
+0.00957771
+0.00986364
+0.010266
+0.0110945
+0.0122631
+0.0136565
+0.0150519
+0.0164207
+0.0179533
+0.0195126
+0.0211434
+0.022868
+0.024554
+0.026314
+0.0281267
+0.0299857
+0.031883
+0.0338115
+0.0329119
+0.0315339
+0.0302238
+0.0289483
+0.0277617
+0.0267024
+0.025731
+0.0247513
+0.0239291
+0.0232846
+0.0226358
+0.022136
+0.0218089
+0.0216235
+0.0214973
+0.0215296
+0.0216499
+0.0219795
+0.0224762
+0.0230193
+0.0237312
+0.0245684
+0.025019
+0.0256054
+0.0263613
+0.0272519
+0.0282719
+0.0292982
+0.0301442
+0.0310771
+0.0320758
+0.0331679
+0.0343385
+0.0355451
+0.0368244
+0.0381717
+0.0395611
+0.0410204
+0.0425321
+0.0440945
+0.0510296
+0.0496931
+0.0482951
+0.0469577
+0.0456788
+0.0443906
+0.0431657
+0.0419752
+0.0406798
+0.0394143
+0.0382324
+0.0371035
+0.0359352
+0.0348067
+0.0337649
+0.0328287
+0.0317894
+0.0307097
+0.0297241
+0.0288434
+0.0281029
+0.0274203
+0.0268252
+0.0263371
+0.0255679
+0.0247964
+0.0240231
+0.0233328
+0.0227113
+0.0221289
+0.0216296
+0.0201452
+0.0186779
+0.0173636
+0.0162205
+0.0152666
+0.0143417
+0.013317
+0.0120443
+0.0109936
+0.0102665
+0.00997696
+0.00967433
+0.00969194
+0.0101345
+0.010973
+0.0121532
+0.0133117
+0.014604
+0.016038
+0.0176146
+0.019228
+0.0208802
+0.0225915
+0.024258
+0.026002
+0.0278066
+0.0296632
+0.0315057
+0.0332733
+0.031825
+0.0303698
+0.0290071
+0.0277507
+0.0266155
+0.0255131
+0.0245524
+0.0237555
+0.0229747
+0.0221836
+0.0214539
+0.0209266
+0.0206187
+0.0203217
+0.0202045
+0.0202294
+0.0203574
+0.0207175
+0.021298
+0.0218846
+0.0226323
+0.0233628
+0.0237888
+0.0244048
+0.0251968
+0.0261216
+0.0271838
+0.0280644
+0.0288742
+0.0298171
+0.0308342
+0.0319683
+0.0331612
+0.0343849
+0.035693
+0.0370557
+0.0384949
+0.0399858
+0.0414976
+0.0430409
+0.0495335
+0.0481885
+0.0468655
+0.0454861
+0.0441723
+0.0429165
+0.0416579
+0.0404609
+0.0392655
+0.0380412
+0.0368155
+0.0356821
+0.0345627
+0.0334179
+0.0323533
+0.0313248
+0.0302158
+0.0291814
+0.0281973
+0.027313
+0.0265304
+0.0259087
+0.0253559
+0.0249045
+0.0241165
+0.0233242
+0.0225685
+0.0218595
+0.0213005
+0.0207469
+0.0203501
+0.0200955
+0.0188797
+0.0176166
+0.0165314
+0.0155802
+0.0147211
+0.0137952
+0.0125612
+0.0116046
+0.0109425
+0.010379
+0.00993234
+0.00994949
+0.0104299
+0.0112079
+0.011984
+0.0130812
+0.0143942
+0.0159019
+0.0174949
+0.0191664
+0.0207183
+0.0223392
+0.0240197
+0.0257769
+0.0275963
+0.0293461
+0.0310822
+0.032411
+0.030828
+0.0293233
+0.0279096
+0.0266014
+0.0254149
+0.024368
+0.0234282
+0.0225918
+0.0219298
+0.0210629
+0.0203348
+0.0197685
+0.0193468
+0.019103
+0.0190092
+0.0189794
+0.0191643
+0.0195939
+0.0201414
+0.0207527
+0.0215289
+0.0222527
+0.0226996
+0.0233443
+0.0241416
+0.0250966
+0.0260322
+0.0267873
+0.0276353
+0.0285794
+0.029634
+0.0307534
+0.0319641
+0.0332002
+0.0345223
+0.0359295
+0.0374121
+0.0388869
+0.0403982
+0.0419694
+0.0480484
+0.0467015
+0.0453812
+0.0440744
+0.0427172
+0.0414314
+0.0401884
+0.0389626
+0.0377983
+0.0366092
+0.0354529
+0.0342998
+0.0332251
+0.0320747
+0.030967
+0.0298494
+0.0286784
+0.0276152
+0.0266711
+0.0257775
+0.0250442
+0.0243916
+0.0239154
+0.0235195
+0.0227056
+0.0218661
+0.0211216
+0.020428
+0.019882
+0.0193702
+0.019004
+0.0188003
+0.0186656
+0.0179578
+0.0168779
+0.0159381
+0.0151163
+0.0145451
+0.0134102
+0.0125153
+0.0118412
+0.0110403
+0.0106128
+0.0106288
+0.0109157
+0.0112939
+0.0120644
+0.0131585
+0.0144949
+0.0159991
+0.0175766
+0.0190537
+0.020633
+0.0222932
+0.0239769
+0.0257371
+0.0273675
+0.0290566
+0.030809
+0.0315849
+0.0299583
+0.0284075
+0.0269458
+0.0255883
+0.0243526
+0.0232579
+0.0223252
+0.0215753
+0.0208175
+0.0200249
+0.0192418
+0.0185958
+0.0181919
+0.0179345
+0.0178308
+0.0178135
+0.0180103
+0.0184668
+0.0190406
+0.0197226
+0.0205148
+0.0212983
+0.0217645
+0.0224164
+0.0232362
+0.024133
+0.0247977
+0.0255888
+0.0264356
+0.0273889
+0.0284548
+0.0295889
+0.0308173
+0.0320883
+0.0334504
+0.0348693
+0.0362915
+0.0377672
+0.0392979
+0.0408887
+0.0465659
+0.0451908
+0.0438635
+0.0425659
+0.0412947
+0.0399965
+0.0387444
+0.0375165
+0.0363311
+0.0351692
+0.0340243
+0.0329525
+0.0318868
+0.0307485
+0.0295912
+0.028426
+0.0272277
+0.0261083
+0.0251275
+0.0242717
+0.0235175
+0.02292
+0.0224441
+0.0221451
+0.0213129
+0.0204222
+0.0197187
+0.0190542
+0.0185063
+0.0180011
+0.0177202
+0.0175727
+0.017506
+0.0174266
+0.0174395
+0.0165308
+0.0157221
+0.015142
+0.0144053
+0.0133234
+0.0125332
+0.0120119
+0.0116202
+0.0113896
+0.0114185
+0.0117817
+0.0125222
+0.0135795
+0.0148781
+0.016165
+0.0176044
+0.0191541
+0.0207505
+0.0223994
+0.0239598
+0.0255871
+0.0272336
+0.0289306
+0.0306902
+0.0308848
+0.0292198
+0.0276276
+0.0261223
+0.0247197
+0.0234381
+0.0222987
+0.021324
+0.0205015
+0.0195934
+0.0188079
+0.0181406
+0.0175335
+0.0171082
+0.0167712
+0.0166702
+0.0166494
+0.0169025
+0.0173612
+0.0179408
+0.0186936
+0.0195626
+0.0205017
+0.020969
+0.0216223
+0.0224403
+0.0229454
+0.0236436
+0.0244364
+0.0253101
+0.026246
+0.027304
+0.0284794
+0.0296808
+0.030987
+0.0323521
+0.0337299
+0.0351814
+0.0366891
+0.0382534
+0.0398393
+0.0451128
+0.0436991
+0.0423426
+0.041038
+0.0397721
+0.0385417
+0.0373348
+0.0361232
+0.034915
+0.0337787
+0.0326225
+0.0315314
+0.030542
+0.0295166
+0.0283181
+0.0269934
+0.0257831
+0.0246872
+0.0236525
+0.0227451
+0.0220124
+0.0214507
+0.0210118
+0.0207716
+0.019884
+0.0190311
+0.0183079
+0.0177576
+0.0172414
+0.0167547
+0.0164597
+0.0163072
+0.0162853
+0.0162262
+0.0163823
+0.016709
+0.0165589
+0.0160132
+0.0152717
+0.0142808
+0.013539
+0.0130357
+0.0124996
+0.0121446
+0.0121717
+0.0125819
+0.0132786
+0.0141107
+0.0151639
+0.0164107
+0.017809
+0.0192394
+0.0207765
+0.0222801
+0.0238901
+0.025523
+0.0272302
+0.0289702
+0.0305982
+0.0300859
+0.0285041
+0.0269232
+0.0253869
+0.0239412
+0.0226156
+0.0213905
+0.0202353
+0.0191735
+0.0181867
+0.0173979
+0.0167892
+0.0162603
+0.0158657
+0.0155876
+0.0153798
+0.0153574
+0.0156448
+0.0160736
+0.0167434
+0.0175882
+0.0184775
+0.0195046
+0.0203036
+0.0209711
+0.0213081
+0.021796
+0.0224828
+0.0232359
+0.024085
+0.0250304
+0.0261086
+0.0272594
+0.0285084
+0.029866
+0.0312152
+0.0326357
+0.0340881
+0.0356053
+0.037181
+0.0387768
+0.0436933
+0.0422607
+0.0408585
+0.0395259
+0.0382507
+0.0370266
+0.0358451
+0.0346867
+0.0335289
+0.0323905
+0.0313011
+0.0301792
+0.0291547
+0.0282521
+0.0270616
+0.0256681
+0.0243921
+0.0232306
+0.0222198
+0.0213215
+0.0205483
+0.0199759
+0.0196163
+0.0193694
+0.0185085
+0.0176417
+0.0169846
+0.0164719
+0.0159564
+0.015575
+0.015301
+0.0151595
+0.0151626
+0.0151335
+0.0152953
+0.0157326
+0.0163195
+0.0170024
+0.0163521
+0.0154202
+0.0144899
+0.013824
+0.0134582
+0.0132176
+0.0132484
+0.0134594
+0.0139135
+0.0146837
+0.0157238
+0.0167911
+0.0180371
+0.0194235
+0.0207946
+0.0222969
+0.0239058
+0.0256012
+0.027346
+0.0285556
+0.0284099
+0.0284069
+0.0273453
+0.0258441
+0.0243616
+0.022868
+0.0214786
+0.0202133
+0.0189865
+0.0178417
+0.016846
+0.0160334
+0.0154378
+0.0149114
+0.0144344
+0.0141596
+0.0141896
+0.0141889
+0.0144588
+0.0148998
+0.0156381
+0.0164721
+0.0173316
+0.0183965
+0.0193334
+0.0198389
+0.0201908
+0.0207051
+0.0212673
+0.0219851
+0.0228658
+0.0238483
+0.0249604
+0.0261538
+0.0274526
+0.0287824
+0.0301022
+0.0315191
+0.0330152
+0.0345175
+0.0360871
+0.0377187
+0.0423075
+0.0408574
+0.0394339
+0.0380534
+0.0367517
+0.0355145
+0.0343412
+0.0332136
+0.0321133
+0.0309838
+0.0298831
+0.0288638
+0.0278664
+0.0269239
+0.0259156
+0.024457
+0.0231141
+0.0218967
+0.0208213
+0.019928
+0.0191802
+0.0185875
+0.0181993
+0.0180395
+0.0171716
+0.0163059
+0.0156252
+0.015224
+0.0146985
+0.0144309
+0.0142341
+0.0141457
+0.014134
+0.0141152
+0.0143451
+0.0148426
+0.015595
+0.0164589
+0.0169371
+0.0163876
+0.0155154
+0.0148954
+0.0145813
+0.0144062
+0.0142347
+0.0143651
+0.0147914
+0.0155182
+0.016307
+0.0173123
+0.0184796
+0.0196739
+0.0210292
+0.0225165
+0.0241113
+0.0257937
+0.0267083
+0.0263784
+0.026222
+0.0262188
+0.0261598
+0.0246339
+0.0231495
+0.0217095
+0.0203681
+0.0190098
+0.017752
+0.0165639
+0.0155434
+0.014717
+0.0141522
+0.0135386
+0.0131168
+0.0128515
+0.0129086
+0.0130621
+0.0133627
+0.0139094
+0.0145089
+0.015354
+0.016263
+0.0173384
+0.0181871
+0.0187116
+0.0190531
+0.0194894
+0.0200817
+0.0207823
+0.0216696
+0.0226918
+0.0238037
+0.0250369
+0.0263445
+0.0276071
+0.0289804
+0.0304496
+0.0319202
+0.0334682
+0.0350848
+0.0367609
+0.0409081
+0.0394536
+0.0380624
+0.0366464
+0.0352929
+0.0340263
+0.0328292
+0.0316903
+0.030564
+0.0295556
+0.0284382
+0.0274373
+0.02654
+0.0256108
+0.0247139
+0.0233737
+0.0219648
+0.0206923
+0.0195477
+0.0185802
+0.0177994
+0.0172211
+0.016895
+0.0166124
+0.0157788
+0.0149908
+0.0143336
+0.0138368
+0.0134233
+0.0132428
+0.013142
+0.013022
+0.0130214
+0.0131267
+0.0135457
+0.0140578
+0.014767
+0.0154937
+0.0158485
+0.0164532
+0.0163517
+0.0161939
+0.0158202
+0.0155217
+0.0153627
+0.0155146
+0.015842
+0.0163532
+0.0171005
+0.0179902
+0.0189784
+0.0201571
+0.021484
+0.0229418
+0.0245089
+0.0251086
+0.0245628
+0.0242036
+0.0240347
+0.0240311
+0.0242264
+0.0235126
+0.0219546
+0.0204598
+0.0190798
+0.0178182
+0.0165462
+0.0153253
+0.0142873
+0.0134741
+0.0127903
+0.0121877
+0.0118717
+0.0116983
+0.0116753
+0.0118046
+0.0122128
+0.0127315
+0.0134686
+0.0143351
+0.0153247
+0.0163622
+0.0172223
+0.0176057
+0.0179275
+0.0183566
+0.0188783
+0.0196173
+0.0205346
+0.0215768
+0.0227161
+0.0239823
+0.0252192
+0.0265354
+0.0279533
+0.0294169
+0.0309279
+0.0325098
+0.034159
+0.035853
+0.039575
+0.0380696
+0.0366334
+0.0352719
+0.0339128
+0.0325931
+0.0313659
+0.0302223
+0.029067
+0.0280065
+0.027022
+0.0259851
+0.0250732
+0.0242454
+0.0235092
+0.0224429
+0.0209691
+0.0196239
+0.0184001
+0.0173672
+0.0165613
+0.0159687
+0.0156347
+0.0152983
+0.0144532
+0.0136751
+0.0129966
+0.0125944
+0.0121153
+0.0119261
+0.0119658
+0.0120528
+0.0120033
+0.0122136
+0.0126957
+0.0132465
+0.0140619
+0.0142705
+0.0147057
+0.015287
+0.0152672
+0.0154568
+0.0157439
+0.0160467
+0.0166349
+0.0167099
+0.016914
+0.0173937
+0.0179775
+0.0187439
+0.0196943
+0.0208325
+0.0221297
+0.0235594
+0.0238064
+0.0230225
+0.0224259
+0.022032
+0.021848
+0.021844
+0.0220587
+0.0224429
+0.0208405
+0.0193236
+0.0178991
+0.0166012
+0.015355
+0.014166
+0.0131022
+0.0122118
+0.0113948
+0.0108676
+0.0106004
+0.0104227
+0.0103476
+0.0105802
+0.0108859
+0.0114648
+0.0123853
+0.0133465
+0.0143797
+0.0154654
+0.0160718
+0.0166249
+0.0169382
+0.0172466
+0.0177926
+0.0185421
+0.0194788
+0.0205371
+0.0216923
+0.0228459
+0.0241313
+0.02554
+0.0269856
+0.0284593
+0.0299877
+0.0315728
+0.0332141
+0.0348962
+0.0383007
+0.0367642
+0.0352749
+0.033862
+0.0325301
+0.0312473
+0.0299705
+0.0287932
+0.0276334
+0.0265156
+0.0255033
+0.0245309
+0.0235934
+0.0227819
+0.0219613
+0.021064
+0.0198682
+0.0186842
+0.0174197
+0.016325
+0.0154648
+0.0148698
+0.0145509
+0.0140508
+0.0131986
+0.0124553
+0.0117944
+0.01133
+0.0107957
+0.0106368
+0.0107291
+0.0110664
+0.0110087
+0.011313
+0.01187
+0.0125564
+0.0129488
+0.0131128
+0.0135695
+0.0141282
+0.0141624
+0.0144752
+0.0148021
+0.015153
+0.0157806
+0.0166688
+0.0173148
+0.0178878
+0.018647
+0.0193892
+0.0203192
+0.0214112
+0.0225847
+0.0228501
+0.021816
+0.0209578
+0.0203006
+0.0198645
+0.0196621
+0.0196578
+0.0198961
+0.0203406
+0.0198826
+0.0183032
+0.0168453
+0.0155054
+0.0141776
+0.012966
+0.0119275
+0.0108759
+0.0100581
+0.0095561
+0.00938267
+0.00928905
+0.00917975
+0.00934115
+0.00976274
+0.0104041
+0.0114275
+0.0123076
+0.0133439
+0.0141486
+0.014716
+0.0155138
+0.0158079
+0.0162353
+0.0168314
+0.0175208
+0.0184432
+0.0195177
+0.0205906
+0.0217954
+0.023139
+0.0245921
+0.0260242
+0.0274849
+0.0289771
+0.0305481
+0.0321917
+0.0338971
+0.0371008
+0.0355169
+0.0340005
+0.0325353
+0.0311521
+0.029858
+0.0286487
+0.0274425
+0.0262108
+0.0251037
+0.0239959
+0.0230378
+0.0221837
+0.0213047
+0.0205099
+0.0196255
+0.0184643
+0.0173766
+0.016495
+0.0154991
+0.014604
+0.0139832
+0.0136392
+0.0129061
+0.0120806
+0.0113456
+0.0107215
+0.0102333
+0.0097462
+0.00948917
+0.00964292
+0.0101324
+0.010086
+0.0104503
+0.0110378
+0.0118754
+0.011845
+0.0120206
+0.0125225
+0.0130643
+0.013147
+0.0134157
+0.0139466
+0.0143587
+0.015054
+0.0158656
+0.0164562
+0.0169986
+0.0177774
+0.0186419
+0.0195868
+0.0206949
+0.0217409
+0.0209981
+0.0198678
+0.0189214
+0.0181908
+0.0177028
+0.0174753
+0.0174726
+0.0177403
+0.0182591
+0.018916
+0.0173924
+0.0158401
+0.0143718
+0.0130423
+0.0118528
+0.0107546
+0.00968214
+0.00885815
+0.00835108
+0.00809949
+0.00807577
+0.00796161
+0.00812223
+0.00876003
+0.00957527
+0.0103947
+0.0112277
+0.012295
+0.0128603
+0.0134819
+0.0143485
+0.0147399
+0.0151447
+0.0157733
+0.0164572
+0.0173853
+0.0184516
+0.0195448
+0.0208118
+0.0221731
+0.0234661
+0.0248191
+0.0262853
+0.0278418
+0.0294734
+0.0311405
+0.0327529
+0.0359924
+0.0343596
+0.0327896
+0.0312944
+0.0298645
+0.0285201
+0.0272762
+0.0260782
+0.0247794
+0.0236053
+0.0225781
+0.0215571
+0.0207044
+0.0198749
+0.0190596
+0.0182328
+0.0170621
+0.0159812
+0.0151059
+0.0143606
+0.0138751
+0.0130778
+0.0124314
+0.0117237
+0.0110681
+0.0102963
+0.00973287
+0.00924741
+0.00874451
+0.00861333
+0.0088839
+0.00928663
+0.00927434
+0.00961763
+0.0103183
+0.0109892
+0.0109886
+0.0112284
+0.0117346
+0.0120698
+0.0119902
+0.0122841
+0.0129473
+0.0134525
+0.0141315
+0.015052
+0.0156113
+0.0161553
+0.0169426
+0.0179135
+0.0188421
+0.0199016
+0.0206172
+0.0192174
+0.0179755
+0.0169235
+0.0161026
+0.0155492
+0.0152897
+0.0152891
+0.0155943
+0.0161921
+0.0169574
+0.016397
+0.0148116
+0.0133444
+0.0119386
+0.0107213
+0.00955978
+0.00861554
+0.00779141
+0.00722935
+0.00693173
+0.00676443
+0.00677077
+0.00701588
+0.00761561
+0.00847172
+0.00922283
+0.0102933
+0.0111272
+0.0115086
+0.0121909
+0.013121
+0.0136999
+0.0141053
+0.0147042
+0.0154233
+0.0164056
+0.0175308
+0.0186187
+0.0197503
+0.0209481
+0.0222655
+0.0236872
+0.0251849
+0.026728
+0.0283492
+0.0299316
+0.0315828
+0.0349231
+0.0333062
+0.0316841
+0.0301341
+0.0286678
+0.0272755
+0.0259819
+0.0248129
+0.0234586
+0.0222176
+0.0211285
+0.0201506
+0.0192125
+0.0184624
+0.0176852
+0.0169201
+0.0157639
+0.0146239
+0.0137038
+0.013024
+0.012618
+0.0117573
+0.0110604
+0.0105951
+0.00984269
+0.00901176
+0.0084843
+0.00817409
+0.00797931
+0.00783846
+0.00817597
+0.00837637
+0.00840581
+0.00888723
+0.00974862
+0.0103448
+0.0103265
+0.0106917
+0.0109912
+0.0108882
+0.0109502
+0.0113162
+0.0117473
+0.0123709
+0.0131148
+0.014029
+0.0148283
+0.0154861
+0.0162482
+0.0171991
+0.0181393
+0.0192283
+0.0190541
+0.0175298
+0.0161587
+0.0149798
+0.0140456
+0.0134077
+0.0131058
+0.0131079
+0.0134627
+0.0141482
+0.0150467
+0.0153822
+0.0138705
+0.0122867
+0.0108648
+0.00952332
+0.00841329
+0.00747117
+0.00667667
+0.00607053
+0.00574044
+0.00559006
+0.00557439
+0.00578527
+0.00655536
+0.00733087
+0.00812703
+0.00926483
+0.00998272
+0.0104061
+0.0111235
+0.0120761
+0.0126754
+0.0130128
+0.0136269
+0.0144016
+0.015449
+0.0165293
+0.0174684
+0.0185451
+0.0197641
+0.0210667
+0.0224599
+0.0239695
+0.0255525
+0.027124
+0.0287287
+0.0303908
+0.0339182
+0.03235
+0.0306954
+0.0290928
+0.0275711
+0.0261447
+0.0248036
+0.0235779
+0.0222713
+0.0209607
+0.0198026
+0.0187711
+0.0178021
+0.0170164
+0.0162847
+0.0155449
+0.0144331
+0.0133321
+0.0123888
+0.0117103
+0.0113383
+0.0105508
+0.00972727
+0.00928553
+0.00858851
+0.00792658
+0.00733508
+0.00687926
+0.00691436
+0.00716384
+0.00767857
+0.00754461
+0.00771019
+0.00832314
+0.009091
+0.00966916
+0.00970979
+0.0101148
+0.00986277
+0.00976299
+0.00988962
+0.0101442
+0.0106803
+0.0113351
+0.0121422
+0.0129681
+0.0138745
+0.0145823
+0.015371
+0.0163334
+0.017371
+0.0175437
+0.0173156
+0.0159649
+0.0144461
+0.013114
+0.012036
+0.011285
+0.0109246
+0.0109305
+0.0113535
+0.0121555
+0.0132231
+0.0144551
+0.0129537
+0.0113767
+0.00987897
+0.00845395
+0.00726775
+0.00622867
+0.00551038
+0.00497302
+0.00452239
+0.00433056
+0.00434097
+0.00461437
+0.00537784
+0.00624498
+0.00715854
+0.00822533
+0.00914835
+0.00960229
+0.0102746
+0.0112623
+0.01161
+0.0119511
+0.0126571
+0.0135587
+0.014667
+0.0154283
+0.0162878
+0.0173235
+0.0184911
+0.0198232
+0.0212577
+0.0227095
+0.0242323
+0.0258404
+0.0275263
+0.029227
+0.0330281
+0.0314155
+0.0298258
+0.0281835
+0.0266099
+0.025129
+0.023758
+0.0224872
+0.0212026
+0.0198638
+0.0186405
+0.0175455
+0.0165095
+0.0157048
+0.0149336
+0.0142286
+0.0130302
+0.011973
+0.0111633
+0.0105048
+0.01017
+0.00932675
+0.00851766
+0.00792469
+0.00741713
+0.00695532
+0.0062767
+0.00574707
+0.00586278
+0.00636507
+0.00649621
+0.00644825
+0.00685033
+0.00746149
+0.00845742
+0.00887568
+0.00892945
+0.00910562
+0.00882769
+0.00872268
+0.00891484
+0.00911511
+0.00975213
+0.0103746
+0.0112356
+0.0120738
+0.0128936
+0.0135342
+0.0143357
+0.0153505
+0.0160792
+0.0155332
+0.015275
+0.0145474
+0.0128791
+0.0113649
+0.0101019
+0.00919421
+0.00874813
+0.00875978
+0.00928078
+0.010244
+0.011523
+0.0128893
+0.0122203
+0.0106834
+0.00900862
+0.00752877
+0.0062195
+0.00516182
+0.00439887
+0.00384184
+0.00343638
+0.00315603
+0.00312801
+0.00348991
+0.00418579
+0.00516626
+0.00610908
+0.00726087
+0.00848434
+0.00895081
+0.00965017
+0.0104928
+0.0106491
+0.0110202
+0.0117728
+0.0127758
+0.0134802
+0.0141951
+0.0150333
+0.0160631
+0.0172567
+0.0185397
+0.0199019
+0.0213931
+0.022991
+0.0246425
+0.0263726
+0.0281567
+0.0322489
+0.0305957
+0.0290124
+0.0273951
+0.0257946
+0.0242674
+0.0228446
+0.0215509
+0.0203135
+0.0189139
+0.0176367
+0.016497
+0.0154172
+0.014551
+0.013633
+0.0129216
+0.0118439
+0.0106699
+0.00980706
+0.00933188
+0.00903959
+0.00800558
+0.00722835
+0.00664839
+0.00629104
+0.00588646
+0.0055634
+0.00505459
+0.00524729
+0.00601013
+0.0056006
+0.0054639
+0.00590386
+0.00676283
+0.00787284
+0.00791019
+0.00829677
+0.00813799
+0.00787541
+0.00770658
+0.00793307
+0.00825846
+0.00889235
+0.00954356
+0.0104554
+0.0110537
+0.0117277
+0.0125229
+0.0134089
+0.0144677
+0.014184
+0.0135785
+0.0132824
+0.0130593
+0.0114852
+0.00979501
+0.00829634
+0.00716343
+0.00658111
+0.00660222
+0.00727421
+0.00846877
+0.009978
+0.0115288
+0.0117731
+0.00998955
+0.00830236
+0.00680806
+0.00545404
+0.00425891
+0.00331945
+0.00270929
+0.00227564
+0.00210213
+0.00199273
+0.00243218
+0.00311791
+0.00417682
+0.00521046
+0.006323
+0.00755354
+0.00810477
+0.00900437
+0.00948402
+0.00972415
+0.010071
+0.010806
+0.0117849
+0.012192
+0.0127605
+0.0135804
+0.0146138
+0.0158617
+0.0171636
+0.0186094
+0.0201727
+0.0218175
+0.0235514
+0.025356
+0.0272174
+0.0315715
+0.0298983
+0.0282775
+0.0267295
+0.0251117
+0.0235413
+0.0220716
+0.0207296
+0.0195416
+0.0181775
+0.0168413
+0.0155968
+0.0144803
+0.0134415
+0.0124612
+0.0113959
+0.0104189
+0.00950687
+0.00868304
+0.00815067
+0.00785449
+0.00680054
+0.00590871
+0.00537091
+0.00516995
+0.00498861
+0.00513477
+0.00507551
+0.00531057
+0.00598233
+0.00523258
+0.00496266
+0.00532084
+0.00618839
+0.00691426
+0.00702376
+0.00751476
+0.00716862
+0.00698843
+0.00678256
+0.00713906
+0.00752089
+0.00811606
+0.00877053
+0.00945456
+0.00996633
+0.0107175
+0.0115566
+0.0126298
+0.0133849
+0.0123866
+0.0117076
+0.0112305
+0.0109122
+0.0103165
+0.00844004
+0.00672376
+0.00526253
+0.00443741
+0.00447699
+0.00541237
+0.00693539
+0.00868526
+0.0104533
+0.0113977
+0.00954101
+0.00780704
+0.00624978
+0.00486018
+0.00364718
+0.00252426
+0.00162579
+0.00118196
+0.00110074
+0.000994823
+0.00143945
+0.00220547
+0.00311329
+0.00437585
+0.0055679
+0.00670469
+0.00728177
+0.00819253
+0.00852467
+0.00864477
+0.00901059
+0.00959642
+0.0105024
+0.0108275
+0.0113583
+0.0121762
+0.0132945
+0.0145587
+0.0159379
+0.0174326
+0.0190621
+0.0207949
+0.0226073
+0.0244817
+0.0263921
+0.0305177
+0.0292666
+0.0276952
+0.0261137
+0.0245724
+0.0230004
+0.021494
+0.0201134
+0.0188867
+0.0176378
+0.0162766
+0.0149554
+0.0136793
+0.0125526
+0.0112354
+0.00986333
+0.00878252
+0.00796629
+0.00746438
+0.00703924
+0.00671337
+0.00572231
+0.00491594
+0.00430358
+0.00416879
+0.00466907
+0.00507741
+0.00564592
+0.00609196
+0.00635059
+0.00555168
+0.00503112
+0.00525367
+0.00614644
+0.00614306
+0.00632165
+0.00687797
+0.00626597
+0.00609589
+0.00612488
+0.00644403
+0.00689334
+0.00758639
+0.00811527
+0.00862047
+0.00912137
+0.00989061
+0.0108414
+0.0119315
+0.0118323
+0.010669
+0.00981207
+0.00915007
+0.00878667
+0.00889752
+0.00744005
+0.00544901
+0.00368387
+0.00238085
+0.0024625
+0.00388745
+0.00570659
+0.00759722
+0.00914817
+0.010519
+0.00952551
+0.00779813
+0.00626689
+0.00486093
+0.00360656
+0.00243829
+0.00144689
+0.000843395
+0.000442869
+0.000378665
+0.000676055
+0.00139053
+0.00226066
+0.0035192
+0.0049076
+0.00576662
+0.0063499
+0.007337
+0.00740449
+0.0074784
+0.00771306
+0.00826826
+0.00924581
+0.0095754
+0.010107
+0.0109604
+0.012064
+0.0133508
+0.0148127
+0.0164099
+0.0181315
+0.0199453
+0.0218201
+0.023743
+0.0256692
+0.0292636
+0.0281284
+0.0270301
+0.025664
+0.0241243
+0.0226136
+0.0211232
+0.0197227
+0.0184701
+0.0173521
+0.0159666
+0.0145472
+0.0131687
+0.0116377
+0.0100279
+0.00855152
+0.00733229
+0.00644356
+0.00598046
+0.00596409
+0.0057284
+0.00485094
+0.00418826
+0.00372033
+0.0037859
+0.00457526
+0.0056498
+0.00666086
+0.00733864
+0.00736129
+0.00627154
+0.00567196
+0.0057257
+0.00558147
+0.00533723
+0.00558178
+0.00606731
+0.00551671
+0.0053196
+0.00538075
+0.00588451
+0.00646238
+0.00715938
+0.00768665
+0.00808565
+0.00863125
+0.00940047
+0.0103954
+0.0115064
+0.0101988
+0.00895628
+0.00791827
+0.00713593
+0.00670315
+0.0068479
+0.00679103
+0.00469624
+0.00264219
+0.000796083
+0.000888175
+0.00271173
+0.00467382
+0.00614543
+0.00742482
+0.00847548
+0.00931839
+0.00832959
+0.00691702
+0.00561063
+0.00448118
+0.00343835
+0.00262452
+0.00197455
+0.00133749
+0.000608825
+9.02581e-05
+0.00049709
+0.00150548
+0.00267915
+0.00426536
+0.0048776
+0.00538467
+0.00649924
+0.00638898
+0.006353
+0.00660756
+0.0071839
+0.00824866
+0.00860126
+0.00902375
+0.00984428
+0.0109706
+0.0123404
+0.0139022
+0.0156106
+0.0173973
+0.0192676
+0.0211994
+0.0231337
+0.0251067
+0.0281244
+0.0269458
+0.0258482
+0.0248407
+0.0237524
+0.0223828
+0.0209318
+0.019559
+0.0183078
+0.0172317
+0.0158618
+0.0144053
+0.0125847
+0.0107372
+0.00901
+0.00743008
+0.00604785
+0.00507064
+0.00473867
+0.00490669
+0.00475684
+0.00412467
+0.00376388
+0.00372991
+0.00428425
+0.00517016
+0.00652106
+0.00776938
+0.00880873
+0.00828527
+0.00697855
+0.00615045
+0.00514611
+0.00431883
+0.00423688
+0.00472687
+0.00526681
+0.00485713
+0.00498792
+0.00510435
+0.00564728
+0.00627211
+0.00706605
+0.00759146
+0.00801628
+0.00857891
+0.00930959
+0.0102981
+0.0103576
+0.00881056
+0.00746214
+0.00621517
+0.00526476
+0.00468374
+0.00486844
+0.00504675
+0.00401546
+0.00212507
+-5.11147e-05
+-9.44143e-05
+0.0020743
+0.0032952
+0.00433632
+0.00580204
+0.00651923
+0.00745608
+0.00864884
+0.00802137
+0.00691505
+0.00596258
+0.00508348
+0.00441481
+0.0038262
+0.00320565
+0.00221605
+0.0010521
+0.000232484
+0.000892096
+0.00213782
+0.00369291
+0.00386244
+0.00462218
+0.00580168
+0.00562691
+0.00561592
+0.00598573
+0.00658129
+0.00770787
+0.00778402
+0.00815326
+0.00896203
+0.0101612
+0.0116267
+0.0132613
+0.0150272
+0.0168904
+0.0188185
+0.0207515
+0.0227201
+0.0247262
+0.0271147
+0.0258902
+0.0247458
+0.0237262
+0.0228625
+0.0220941
+0.0209372
+0.0195649
+0.0183521
+0.0173107
+0.0153745
+0.0134487
+0.011603
+0.00985443
+0.00824313
+0.00658068
+0.00508306
+0.00399873
+0.00363439
+0.0039785
+0.00402412
+0.00368919
+0.00389231
+0.00448384
+0.00522202
+0.00634607
+0.00757023
+0.00907188
+0.0102995
+0.00850263
+0.00685151
+0.00549451
+0.00445194
+0.00356869
+0.00342586
+0.00406075
+0.00462869
+0.00454174
+0.00492
+0.00554082
+0.00599008
+0.00660894
+0.00731845
+0.00794473
+0.00837959
+0.00893936
+0.00964758
+0.0105672
+0.00947697
+0.00774638
+0.00624538
+0.00467838
+0.00362997
+0.00285432
+0.00276563
+0.00308516
+0.00218851
+0.00134354
+-0.000490169
+-0.000605277
+0.000767146
+0.00128822
+0.00292618
+0.003733
+0.00460547
+0.00569775
+0.00710795
+0.00865088
+0.00855433
+0.0077204
+0.0069878
+0.00644466
+0.00587868
+0.00518338
+0.00403883
+0.00265856
+0.00091923
+0.000397442
+0.00163229
+0.00283067
+0.00305222
+0.00390514
+0.00531974
+0.00539984
+0.00548102
+0.0059884
+0.00658187
+0.00764153
+0.0073906
+0.00771218
+0.00853295
+0.00976401
+0.0112302
+0.0129034
+0.0147123
+0.0165916
+0.0184822
+0.0204328
+0.0224243
+0.0243944
+0.0261174
+0.0249053
+0.0237705
+0.0227322
+0.0218311
+0.0210425
+0.0204559
+0.0197847
+0.0184967
+0.0164659
+0.0144603
+0.0125055
+0.0105852
+0.00872629
+0.00699519
+0.00547722
+0.00437663
+0.00346355
+0.00287534
+0.00322579
+0.00350414
+0.00399835
+0.00456574
+0.00544761
+0.00653308
+0.00766559
+0.00898145
+0.0103281
+0.0100629
+0.00814083
+0.00639326
+0.00491083
+0.00374018
+0.00294385
+0.00296856
+0.00381635
+0.00451036
+0.00493207
+0.00539111
+0.00635735
+0.00692885
+0.00753983
+0.0081403
+0.00873662
+0.00915432
+0.00970188
+0.0103856
+0.0109623
+0.00898704
+0.00705216
+0.00523051
+0.00354171
+0.00206932
+0.00113411
+0.000747452
+0.000968721
+0.000993275
+-0.000754226
+-0.00156068
+-0.00208687
+-0.00113061
+0.000314492
+0.00119999
+0.00179878
+0.00267911
+0.00409303
+0.00557142
+0.00737598
+0.00931563
+0.00964989
+0.00901807
+0.00853219
+0.0079815
+0.00707646
+0.00546476
+0.00349855
+0.00171392
+0.000625317
+0.001147
+0.00190385
+0.00204209
+0.00300928
+0.00454817
+0.00569085
+0.00604526
+0.00664582
+0.00720912
+0.00779243
+0.00748417
+0.00772969
+0.00854877
+0.00975059
+0.0112234
+0.0128744
+0.0145847
+0.0163785
+0.0182374
+0.020163
+0.022096
+0.0240406
+0.0251238
+0.0239526
+0.0228261
+0.0218018
+0.0209065
+0.0201466
+0.0195399
+0.0191013
+0.0178522
+0.0157764
+0.0137168
+0.01168
+0.00969306
+0.00778273
+0.0059626
+0.00432076
+0.00311204
+0.00253443
+0.0026129
+0.00310326
+0.00369651
+0.00450337
+0.00573053
+0.00669811
+0.00793642
+0.00916561
+0.0104528
+0.0118214
+0.0101587
+0.00821936
+0.00644318
+0.00490287
+0.00365516
+0.00299624
+0.00302686
+0.00393178
+0.00489276
+0.00580508
+0.0064562
+0.00739831
+0.00830559
+0.00884089
+0.00937433
+0.00992883
+0.0103256
+0.0108145
+0.011439
+0.0106021
+0.00866229
+0.00666354
+0.00471027
+0.00294631
+0.00100469
+-0.000164308
+-0.000921554
+-0.0011132
+-0.000880092
+-0.00183104
+-0.00317178
+-0.0037331
+-0.00273204
+-0.00154072
+-0.00087416
+-0.000119899
+0.00109158
+0.00252343
+0.00443305
+0.00632851
+0.00825041
+0.0101374
+0.011078
+0.0106042
+0.0100367
+0.00827899
+0.00638751
+0.00452696
+0.00281466
+0.00137478
+0.00091342
+0.00108163
+0.00120969
+0.00236251
+0.00407461
+0.00588353
+0.00691087
+0.00772629
+0.00833401
+0.00843778
+0.00808289
+0.00831073
+0.00895663
+0.010001
+0.011337
+0.0128484
+0.0145008
+0.0162457
+0.0180748
+0.0199364
+0.0218568
+0.0238193
+0.0240576
+0.0228924
+0.0218275
+0.020924
+0.0201196
+0.0193696
+0.0187953
+0.0183877
+0.0173539
+0.0152498
+0.0131453
+0.0110602
+0.0090175
+0.00704515
+0.00516543
+0.00350564
+0.00229342
+0.00180601
+0.00237435
+0.00359265
+0.00446719
+0.00563443
+0.00679101
+0.00823941
+0.00936945
+0.0107037
+0.0119937
+0.0116922
+0.00966092
+0.00771739
+0.00592258
+0.00439264
+0.00335087
+0.00292209
+0.00339296
+0.00459745
+0.00580123
+0.00680547
+0.00796762
+0.0087984
+0.00993688
+0.0104275
+0.0108924
+0.0114192
+0.011766
+0.0122221
+0.01181
+0.00980486
+0.00774678
+0.00578419
+0.00397571
+0.00190085
+0.000165316
+-0.00132492
+-0.00244543
+-0.00302208
+-0.00301406
+-0.00354061
+-0.00492101
+-0.00561364
+-0.00434097
+-0.00354415
+-0.00296614
+-0.00163332
+-0.000218198
+0.00145654
+0.00337016
+0.00525272
+0.00720793
+0.00854507
+0.00974977
+0.011082
+0.0112211
+0.0092612
+0.00732517
+0.00548928
+0.00373659
+0.00224076
+0.00122925
+0.000741599
+0.000756654
+0.00214833
+0.00383857
+0.00576492
+0.0076099
+0.00893317
+0.00981389
+0.00940429
+0.00898443
+0.00891768
+0.00934266
+0.0102044
+0.0113681
+0.0128038
+0.0144304
+0.0161333
+0.0179421
+0.0197874
+0.0216907
+0.0236392
+0.0230428
+0.0218534
+0.0208167
+0.0198913
+0.0191562
+0.0185831
+0.0181868
+0.0178113
+0.0170432
+0.0149037
+0.0127815
+0.0106819
+0.00859188
+0.00655828
+0.00465214
+0.00305964
+0.00198994
+0.00195537
+0.00291838
+0.00422621
+0.00568059
+0.00687314
+0.00820472
+0.00950074
+0.011
+0.0122189
+0.0134746
+0.0113864
+0.00932856
+0.0073479
+0.00550905
+0.00394414
+0.0029286
+0.00274564
+0.0034506
+0.00481495
+0.00655283
+0.00809631
+0.0093329
+0.0104312
+0.0114667
+0.0122026
+0.0126022
+0.0130998
+0.0134111
+0.0129959
+0.0109572
+0.00896921
+0.00695687
+0.00497855
+0.00289348
+0.00101298
+-0.000508891
+-0.00248482
+-0.00405037
+-0.00486815
+-0.00518834
+-0.0055359
+-0.00656897
+-0.00732562
+-0.00621428
+-0.005626
+-0.00446258
+-0.00256848
+-0.00115769
+0.000404177
+0.00235268
+0.00445671
+0.00565942
+0.00677067
+0.00799975
+0.00927982
+0.0105635
+0.0101709
+0.00829648
+0.00650595
+0.00482811
+0.00330181
+0.00197153
+0.000928487
+0.00116807
+0.00224987
+0.0038951
+0.00572633
+0.00764775
+0.00968418
+0.0109646
+0.0100422
+0.00949521
+0.00939793
+0.00976622
+0.0105302
+0.0116175
+0.0129533
+0.0144351
+0.0160727
+0.0178048
+0.019604
+0.021438
+0.0233335
+0.0221069
+0.0209028
+0.019832
+0.018936
+0.0181924
+0.0176842
+0.0173436
+0.0172149
+0.0169781
+0.0148289
+0.0126935
+0.0105802
+0.00850538
+0.00648858
+0.00458118
+0.00305593
+0.00228598
+0.00260854
+0.003914
+0.00528358
+0.00674135
+0.00825916
+0.00962805
+0.0110117
+0.0123938
+0.0138484
+0.0133789
+0.0112846
+0.0092235
+0.00723892
+0.00541564
+0.00388911
+0.00302984
+0.00314142
+0.00395547
+0.00531837
+0.00700605
+0.00889317
+0.0107618
+0.0121118
+0.0131657
+0.0140947
+0.0144424
+0.0149114
+0.0145051
+0.0123643
+0.0102446
+0.00815502
+0.00607169
+0.00410058
+0.00219589
+0.000498583
+-0.00154454
+-0.00342615
+-0.00526424
+-0.00668099
+-0.00737232
+-0.00763074
+-0.00841729
+-0.00911107
+-0.00820167
+-0.00726771
+-0.00554369
+-0.00369783
+-0.00207813
+-7.40249e-05
+0.00170681
+0.00290017
+0.00389607
+0.00493741
+0.0063236
+0.00748624
+0.00897088
+0.0106254
+0.00940992
+0.00766392
+0.00574626
+0.00375
+0.00195597
+0.000584169
+0.00112884
+0.00271905
+0.0045664
+0.00633867
+0.00814711
+0.0101079
+0.0117687
+0.0108681
+0.0103286
+0.0100564
+0.0101648
+0.0107291
+0.0116834
+0.0129417
+0.0143793
+0.0159704
+0.0176431
+0.0194151
+0.0211934
+0.0230161
+0.0212521
+0.02004
+0.0189863
+0.018053
+0.0173476
+0.0168297
+0.0165454
+0.0164508
+0.0166119
+0.0150182
+0.0129123
+0.01084
+0.0088127
+0.00687029
+0.00511943
+0.00374112
+0.00317902
+0.00360964
+0.00488331
+0.00650437
+0.00796571
+0.00951244
+0.0110968
+0.0125377
+0.0139425
+0.0153669
+0.0135284
+0.0114635
+0.00945547
+0.00753903
+0.00574639
+0.00428996
+0.00354046
+0.00376777
+0.00472969
+0.00608466
+0.00770672
+0.00947443
+0.0113363
+0.0132829
+0.0149643
+0.0159747
+0.016363
+0.0160247
+0.0139219
+0.0118312
+0.00978438
+0.00769147
+0.00551644
+0.00336183
+0.00121976
+-0.000715209
+-0.00247251
+-0.00439032
+-0.00636835
+-0.00798662
+-0.009325
+-0.00976298
+-0.0103995
+-0.0110434
+-0.0101949
+-0.00845269
+-0.00658106
+-0.00478778
+-0.00286526
+-0.00122003
+-3.36792e-05
+0.000965514
+0.00197516
+0.00336787
+0.00441881
+0.00588284
+0.00753524
+0.00912198
+0.00963182
+0.00753717
+0.00544367
+0.00345611
+0.00173667
+0.000491845
+0.000922635
+0.00258637
+0.00456077
+0.00663437
+0.00876512
+0.0109008
+0.012524
+0.0114937
+0.0108147
+0.0105002
+0.0105621
+0.0110225
+0.0118546
+0.012954
+0.0143066
+0.0158364
+0.0174111
+0.0191075
+0.0208962
+0.0224907
+0.0205481
+0.0192918
+0.0182131
+0.0173261
+0.0165899
+0.0161165
+0.0158306
+0.015834
+0.0160267
+0.0154891
+0.0134407
+0.0114453
+0.00953586
+0.00773655
+0.00616756
+0.00507644
+0.00464051
+0.00505183
+0.00611767
+0.0076175
+0.00925746
+0.0108402
+0.0124202
+0.0140368
+0.0155131
+0.0159689
+0.0139092
+0.0118964
+0.00995891
+0.00810842
+0.00644676
+0.00515563
+0.00451355
+0.00470695
+0.00560359
+0.00696893
+0.00854731
+0.0102441
+0.0120991
+0.0139879
+0.0159087
+0.0177969
+0.0174612
+0.0154435
+0.0134516
+0.0114441
+0.00931256
+0.00721654
+0.00519916
+0.00318634
+0.00115154
+-0.000185555
+-0.00210007
+-0.00398029
+-0.0060305
+-0.00807744
+-0.0100959
+-0.0119164
+-0.0123868
+-0.0130356
+-0.0112968
+-0.00940846
+-0.00762334
+-0.0058824
+-0.00417636
+-0.00298888
+-0.00173291
+-0.000881004
+0.000340634
+0.00146651
+0.00281702
+0.00445519
+0.00605714
+0.00794479
+0.00954869
+0.00744226
+0.00538685
+0.00347226
+0.00180412
+0.000788723
+0.00135331
+0.00298378
+0.00493713
+0.00699029
+0.0090923
+0.0111839
+0.0132089
+0.0121766
+0.0113759
+0.0109613
+0.0108977
+0.0112623
+0.0120215
+0.013072
+0.0142841
+0.0156644
+0.017201
+0.0188619
+0.0201719
+0.0216249
+0.0199333
+0.0186707
+0.0175829
+0.0166765
+0.0159824
+0.015497
+0.0152847
+0.015312
+0.0156083
+0.0161001
+0.0142362
+0.0123585
+0.010578
+0.00897132
+0.0076577
+0.00674266
+0.00642347
+0.00675574
+0.00764894
+0.00891289
+0.0104526
+0.0121333
+0.0138118
+0.0153991
+0.017033
+0.0163928
+0.0143844
+0.0124305
+0.0105698
+0.00883422
+0.00733774
+0.00621963
+0.00568501
+0.00588881
+0.00673198
+0.00798821
+0.00948103
+0.0111343
+0.0129313
+0.0147859
+0.0167117
+0.0186694
+0.0170869
+0.0150168
+0.0129813
+0.0109633
+0.0089489
+0.0069751
+0.00510722
+0.00335206
+0.00194689
+0.000388742
+-0.00173364
+-0.00384942
+-0.00594988
+-0.00809466
+-0.0102447
+-0.0123143
+-0.0137198
+-0.0139905
+-0.0122413
+-0.010535
+-0.00882403
+-0.00723155
+-0.00587337
+-0.00463837
+-0.00344461
+-0.00254647
+-0.00133121
+6.87059e-05
+0.00139894
+0.00306004
+0.00484871
+0.00658186
+0.00852815
+0.00742158
+0.00542892
+0.00354879
+0.00205921
+0.00133899
+0.00211149
+0.00375003
+0.00566294
+0.0076621
+0.00963041
+0.011677
+0.013768
+0.0127223
+0.0119583
+0.0114944
+0.0113995
+0.0115893
+0.0121282
+0.0129914
+0.0141442
+0.0155223
+0.0168358
+0.0180695
+0.0194369
+0.020941
+0.0194147
+0.0181687
+0.0170815
+0.0161802
+0.0155093
+0.015078
+0.0148853
+0.014982
+0.0153023
+0.0158768
+0.0152634
+0.0135043
+0.0118894
+0.0104856
+0.00934898
+0.00861498
+0.00835442
+0.00863478
+0.00935018
+0.0104767
+0.0118308
+0.0134017
+0.0150746
+0.0168123
+0.0183983
+0.0170309
+0.015102
+0.0132322
+0.0114765
+0.00989321
+0.00856231
+0.00763864
+0.00718475
+0.00737341
+0.00807859
+0.00923633
+0.0106438
+0.0122016
+0.013871
+0.0156626
+0.0175345
+0.0186412
+0.016563
+0.0144344
+0.0123276
+0.010251
+0.00818671
+0.00609754
+0.00406782
+0.00210817
+0.000379597
+-0.00107018
+-0.00261918
+-0.00450367
+-0.00653366
+-0.00857053
+-0.0102583
+-0.0108789
+-0.0117587
+-0.0126413
+-0.0131248
+-0.011528
+-0.00999521
+-0.00861362
+-0.00743931
+-0.00603239
+-0.00490301
+-0.0039858
+-0.00277035
+-0.00148328
+0.000410881
+0.00175129
+0.00364408
+0.00545575
+0.0070451
+0.0078
+0.00587156
+0.00415626
+0.00284939
+0.00240674
+0.00314477
+0.00468117
+0.00646663
+0.00839755
+0.0103944
+0.0124526
+0.0144578
+0.0134004
+0.0125066
+0.0119144
+0.0116926
+0.0118196
+0.0123202
+0.0131561
+0.0141659
+0.0151089
+0.0161886
+0.0174695
+0.0189031
+0.0204682
+0.019109
+0.0178417
+0.0167521
+0.0158914
+0.0152331
+0.0148371
+0.0146581
+0.014788
+0.0151687
+0.0157779
+0.0164934
+0.0148805
+0.0134321
+0.0121877
+0.0112141
+0.010602
+0.0103889
+0.010626
+0.0112151
+0.0121755
+0.0134139
+0.014822
+0.0164024
+0.0180684
+0.0197767
+0.0178807
+0.0160356
+0.0142885
+0.0126798
+0.0112391
+0.0100623
+0.00926185
+0.00889905
+0.00904739
+0.00963614
+0.0106384
+0.0119045
+0.0133848
+0.0150236
+0.0167319
+0.0185059
+0.0182422
+0.0161591
+0.0140645
+0.0119803
+0.00985531
+0.00774222
+0.00563169
+0.00347991
+0.00134494
+-0.000751632
+-0.00266039
+-0.00409373
+-0.0056903
+-0.00728622
+-0.00767226
+-0.00817055
+-0.00883185
+-0.00985163
+-0.0105886
+-0.011562
+-0.0118151
+-0.0108898
+-0.00965802
+-0.00859005
+-0.00765168
+-0.00652974
+-0.00559394
+-0.00425108
+-0.00251406
+-0.000974418
+0.000919167
+0.00240088
+0.0040199
+0.00551656
+0.00736054
+0.006859
+0.00539337
+0.00430618
+0.00398111
+0.00458096
+0.0058392
+0.0074775
+0.00930294
+0.0112298
+0.0132132
+0.0150067
+0.0138952
+0.0129916
+0.0124076
+0.012113
+0.0120819
+0.0124194
+0.0130529
+0.0138177
+0.0147141
+0.0158207
+0.0171291
+0.0185891
+0.0201816
+0.0190452
+0.0177789
+0.016687
+0.0158228
+0.0151615
+0.014772
+0.0146803
+0.0148101
+0.0152566
+0.0159336
+0.0167882
+0.0164344
+0.0151285
+0.0140175
+0.0131798
+0.0126509
+0.0124729
+0.0126767
+0.0131806
+0.0140069
+0.0151082
+0.016409
+0.0178498
+0.0194312
+0.0207017
+0.0188824
+0.0171502
+0.0155329
+0.0140638
+0.0127721
+0.0117499
+0.0110721
+0.0107704
+0.0108933
+0.011387
+0.0122412
+0.0133622
+0.0147108
+0.0162308
+0.0178904
+0.0196226
+0.0180801
+0.0159759
+0.0138984
+0.011799
+0.00969877
+0.00764895
+0.0056268
+0.00351207
+0.00147074
+-0.000490271
+-0.00206068
+-0.003468
+-0.00458667
+-0.00520099
+-0.00550037
+-0.00607519
+-0.00686857
+-0.00782352
+-0.00860361
+-0.00971899
+-0.00962629
+-0.00944918
+-0.00890837
+-0.00865136
+-0.00802167
+-0.00751821
+-0.00674405
+-0.00539535
+-0.00363561
+-0.00210788
+-0.00020471
+0.0012378
+0.0025746
+0.0043738
+0.00621257
+0.00788974
+0.00701383
+0.00618754
+0.00592876
+0.00638741
+0.00739513
+0.00878935
+0.0104305
+0.0122277
+0.0141097
+0.0156628
+0.0144853
+0.0135299
+0.0128263
+0.0124158
+0.012292
+0.0124383
+0.0128742
+0.0134999
+0.0144325
+0.0155668
+0.0168714
+0.018326
+0.0198805
+0.0191453
+0.0178943
+0.0168364
+0.0160101
+0.0154043
+0.0150211
+0.014931
+0.0150586
+0.0154979
+0.0162117
+0.0171146
+0.0181157
+0.016924
+0.0159386
+0.0151949
+0.0147247
+0.014572
+0.0147468
+0.0152078
+0.0159293
+0.0169058
+0.018096
+0.0194364
+0.0208981
+0.0217938
+0.0200737
+0.0184516
+0.0169553
+0.0156237
+0.0144752
+0.0135818
+0.0129789
+0.0127123
+0.0128201
+0.0132406
+0.0139788
+0.0149985
+0.0162115
+0.0176024
+0.0191435
+0.0198376
+0.0179119
+0.0160186
+0.0139267
+0.0118706
+0.0098725
+0.00788778
+0.00598183
+0.00398418
+0.00212757
+0.00056866
+-0.000773835
+-0.00196394
+-0.00273825
+-0.00303572
+-0.00335037
+-0.00396319
+-0.00489784
+-0.00572008
+-0.00667999
+-0.00756341
+-0.00743823
+-0.007278
+-0.00677675
+-0.00650878
+-0.00648623
+-0.00596531
+-0.00602433
+-0.00657144
+-0.00479838
+-0.00314435
+-0.00175436
+-8.09034e-05
+0.00135192
+0.00316374
+0.00482464
+0.00674812
+0.00879745
+0.00816701
+0.00797254
+0.00836761
+0.00918499
+0.0103724
+0.0118155
+0.0134442
+0.0152083
+0.0162982
+0.0150968
+0.0141341
+0.0132957
+0.0126473
+0.0122406
+0.0121793
+0.0124575
+0.0130856
+0.0139794
+0.0151259
+0.0164476
+0.0179402
+0.0195646
+0.0194448
+0.0182143
+0.0171762
+0.0163671
+0.015822
+0.0154894
+0.0154227
+0.0156124
+0.0160316
+0.0166821
+0.017583
+0.018698
+0.0188034
+0.0179137
+0.0172404
+0.0168274
+0.016694
+0.0168468
+0.017275
+0.0179134
+0.018787
+0.0198649
+0.0211053
+0.0224831
+0.0230429
+0.0214207
+0.0199065
+0.0185281
+0.0173178
+0.0162953
+0.015483
+0.0149425
+0.0147116
+0.0148048
+0.0151813
+0.0158293
+0.016741
+0.0178555
+0.0191272
+0.0205543
+0.0190801
+0.0171776
+0.015263
+0.0133968
+0.0116442
+0.00994377
+0.00828378
+0.006599
+0.00481672
+0.00329684
+0.00201833
+0.000765756
+-0.00019287
+-0.000636776
+-0.000874512
+-0.00126189
+-0.00194989
+-0.00288652
+-0.00371559
+-0.00471762
+-0.00541606
+-0.00525187
+-0.00512145
+-0.00467951
+-0.00433307
+-0.00450828
+-0.00464164
+-0.00482847
+-0.00553872
+-0.00600991
+-0.0046827
+-0.00313139
+-0.00143466
+9.75955e-05
+0.00187159
+0.00402051
+0.00602215
+0.00807857
+0.0101173
+0.0100666
+0.0103825
+0.0110795
+0.012106
+0.0133962
+0.0148713
+0.0164892
+0.016835
+0.0154339
+0.0142335
+0.0132351
+0.0125275
+0.0121167
+0.0120181
+0.0122999
+0.0128832
+0.0137902
+0.014948
+0.0162816
+0.0177855
+0.0194205
+0.0199322
+0.0187337
+0.0177261
+0.0169432
+0.0164173
+0.0161736
+0.0161483
+0.0163296
+0.0167541
+0.0174134
+0.0182784
+0.0193536
+0.0205645
+0.0199209
+0.0193177
+0.0189501
+0.0188317
+0.0189673
+0.0193515
+0.019938
+0.0207265
+0.0217083
+0.0228513
+0.0241357
+0.024422
+0.0228966
+0.0214867
+0.0202162
+0.0191132
+0.0181712
+0.0174398
+0.0169618
+0.0167587
+0.0168406
+0.0171823
+0.0177574
+0.0185747
+0.0196038
+0.0207715
+0.0204108
+0.0183854
+0.0164026
+0.0144637
+0.0125925
+0.0107559
+0.00898923
+0.00736946
+0.0056819
+0.00420398
+0.00301335
+0.00222653
+0.00234598
+0.00171161
+0.00150183
+0.00128086
+0.000808754
+-3.23691e-05
+-0.000833511
+-0.00178621
+-0.00274171
+-0.00331469
+-0.00307047
+-0.00297061
+-0.00257724
+-0.00216794
+-0.00244443
+-0.00303965
+-0.00380025
+-0.00451829
+-0.00540774
+-0.00607363
+-0.00404619
+-0.00222536
+-0.000466696
+0.0013295
+0.00336475
+0.00541098
+0.00746761
+0.00958289
+0.0116563
+0.0124567
+0.013067
+0.0139479
+0.0150977
+0.0164369
+0.0179328
+0.0170181
+0.0156335
+0.0143965
+0.0133974
+0.012692
+0.0122724
+0.0121975
+0.0124753
+0.0130507
+0.0139248
+0.0150313
+0.0163577
+0.0178553
+0.0194376
+0.0206417
+0.019487
+0.0185204
+0.0177725
+0.0172719
+0.0170404
+0.0170888
+0.0172962
+0.0177115
+0.0183523
+0.0191942
+0.0202184
+0.0213836
+0.0219633
+0.0214177
+0.0210867
+0.0209803
+0.0211021
+0.0214482
+0.0219901
+0.0227074
+0.0236069
+0.0246683
+0.0258627
+0.0259121
+0.0244798
+0.0231664
+0.0219932
+0.0209728
+0.0201051
+0.0194466
+0.0190191
+0.0188382
+0.0189111
+0.0192247
+0.0197404
+0.0204786
+0.0214165
+0.0220573
+0.0199516
+0.0178665
+0.0158098
+0.013774
+0.0117939
+0.00989822
+0.00809315
+0.00636833
+0.00472508
+0.00311828
+0.00172187
+0.000855967
+0.000989027
+0.000673903
+0.00126057
+0.00268972
+0.002827
+0.00197313
+0.00116656
+0.00015607
+-0.000829492
+-0.0011745
+-0.000896458
+-0.000805304
+-0.000424224
+-3.84939e-05
+-0.000611329
+-0.00142004
+-0.00247641
+-0.00351878
+-0.00417935
+-0.00535129
+-0.00496554
+-0.00313478
+-0.00118162
+0.00087849
+0.00296965
+0.00496483
+0.00698042
+0.00906782
+0.0111763
+0.0133111
+0.015106
+0.0158787
+0.0168977
+0.0181253
+0.018719
+0.017146
+0.0157151
+0.0144756
+0.0134803
+0.0127865
+0.0123698
+0.0122995
+0.012575
+0.013213
+0.0141176
+0.0152679
+0.0166284
+0.0181017
+0.0196751
+0.0215259
+0.0204483
+0.0195292
+0.0188215
+0.0183496
+0.0181318
+0.0181773
+0.0184105
+0.0188627
+0.0194804
+0.0202615
+0.0212341
+0.0223722
+0.0236327
+0.0235342
+0.0232333
+0.0231369
+0.0232474
+0.0235619
+0.0240665
+0.0247237
+0.0255523
+0.0265364
+0.0276554
+0.0274962
+0.0261508
+0.0249256
+0.0238391
+0.0228796
+0.022087
+0.0214894
+0.0211033
+0.0209404
+0.021006
+0.021296
+0.0217632
+0.022435
+0.0232942
+0.0218322
+0.0197026
+0.0175879
+0.0154943
+0.0134056
+0.0113451
+0.00933872
+0.00740083
+0.00556186
+0.00386171
+0.00239348
+0.000770756
+-0.000354793
+-0.000660618
+-0.000441185
+0.000616815
+0.00224522
+0.00410241
+0.00403133
+0.00309522
+0.00207189
+0.00115094
+0.000978979
+0.00127818
+0.0013541
+0.00168987
+0.00187055
+0.000913099
+-0.000273372
+-0.0012377
+-0.00232691
+-0.00310745
+-0.00395971
+-0.00488597
+-0.00382764
+-0.00171104
+0.000353307
+0.00249743
+0.00461748
+0.00664316
+0.00874526
+0.010858
+0.0129965
+0.01515
+0.0173094
+0.0187808
+0.0198925
+0.018948
+0.0173972
+0.0159887
+0.014772
+0.013798
+0.0131207
+0.0127688
+0.0127208
+0.0129874
+0.013606
+0.0145001
+0.0156398
+0.0169869
+0.0184901
+0.0200696
+0.0225728
+0.0215646
+0.0207212
+0.0200556
+0.0196133
+0.0193925
+0.0193873
+0.019628
+0.0200641
+0.0207196
+0.0214995
+0.0224185
+0.0234993
+0.0247169
+0.0256631
+0.0253875
+0.0252993
+0.0254004
+0.0256886
+0.0261577
+0.0267674
+0.0275346
+0.0284502
+0.0295004
+0.0291589
+0.0278938
+0.0267486
+0.0257281
+0.0248334
+0.0241051
+0.0235587
+0.0232071
+0.0230591
+0.0231186
+0.0233842
+0.0238157
+0.0244312
+0.0239526
+0.0218099
+0.0196778
+0.0175602
+0.0154328
+0.0133257
+0.0112505
+0.00922362
+0.00725505
+0.00536594
+0.0036212
+0.00179834
+7.31696e-05
+-0.00140218
+-0.00177374
+-0.000876358
+0.00052885
+0.00227815
+0.00416366
+0.00610337
+0.00503146
+0.00395335
+0.00325761
+0.00309953
+0.0034534
+0.00352534
+0.00381955
+0.00386705
+0.00258908
+0.00139567
+0.000335903
+-0.00074053
+-0.00151055
+-0.00232377
+-0.00348698
+-0.00356281
+-0.00183804
+0.000173086
+0.00235019
+0.00436889
+0.00643552
+0.00856403
+0.0107078
+0.01286
+0.0150234
+0.0171937
+0.0193686
+0.0209131
+0.0192807
+0.0177688
+0.0164043
+0.0152209
+0.0142775
+0.0136241
+0.0133036
+0.0132724
+0.0135966
+0.0142541
+0.0151696
+0.0162712
+0.0175699
+0.0190328
+0.020613
+0.0237759
+0.0228209
+0.0220122
+0.0213868
+0.0209726
+0.0207428
+0.0207379
+0.0209631
+0.0213844
+0.0220006
+0.0228113
+0.0237427
+0.0247693
+0.0259273
+0.0272127
+0.0275475
+0.0274662
+0.0275593
+0.0278252
+0.0282588
+0.0288327
+0.0295464
+0.0304014
+0.0313864
+0.0308875
+0.0296962
+0.0286232
+0.0276542
+0.0268238
+0.026151
+0.0256482
+0.0253256
+0.02519
+0.0252446
+0.025488
+0.0258909
+0.0253196
+0.0240084
+0.0219803
+0.0198665
+0.0177714
+0.0156727
+0.0136028
+0.0115774
+0.00961961
+0.00771849
+0.00558224
+0.00351362
+0.00160254
+-0.000114377
+-0.00214895
+-0.00252396
+-0.000946079
+0.000656334
+0.00258715
+0.00455317
+0.00654942
+0.00691763
+0.00597397
+0.00541006
+0.0052676
+0.00562979
+0.00570151
+0.00594994
+0.00561113
+0.00433195
+0.00332603
+0.00213899
+0.00102255
+-6.20365e-05
+-0.00105995
+-0.00232466
+-0.00270813
+-0.0011561
+0.000816054
+0.0029196
+0.00478599
+0.00672629
+0.00878514
+0.0108955
+0.0130324
+0.0151847
+0.0173466
+0.0195128
+0.0214399
+0.0198509
+0.0183843
+0.0170576
+0.0159228
+0.0150235
+0.0144041
+0.0140927
+0.0140612
+0.0143676
+0.0149912
+0.015888
+0.016986
+0.0182725
+0.0197162
+0.0212878
+0.0251128
+0.0241963
+0.0234248
+0.0228381
+0.0224468
+0.0222274
+0.0222228
+0.0224331
+0.0228389
+0.0234168
+0.0241801
+0.0251119
+0.0261514
+0.0272603
+0.0284856
+0.0297119
+0.0296365
+0.0297229
+0.0299696
+0.0303726
+0.0309153
+0.0315819
+0.0323833
+0.0333097
+0.0326717
+0.0315478
+0.0305288
+0.0296171
+0.0288432
+0.0282186
+0.0277533
+0.0274554
+0.0273305
+0.0273808
+0.0267824
+0.0251797
+0.0236588
+0.02225
+0.0209705
+0.0198099
+0.0179032
+0.0159034
+0.0139492
+0.0119192
+0.00972921
+0.00753935
+0.00534994
+0.00316188
+0.000978898
+-0.00119302
+-0.00269909
+-0.00272309
+-0.000864175
+0.00105871
+0.00306792
+0.00517352
+0.00720538
+0.00883204
+0.00802185
+0.00758352
+0.00744718
+0.00772427
+0.00788223
+0.00810704
+0.00737205
+0.00625603
+0.00507339
+0.00387126
+0.00264428
+0.0015096
+0.000451245
+-0.000578529
+-0.000858677
+0.000301509
+0.00178368
+0.00368729
+0.00568803
+0.00765425
+0.00951437
+0.0114916
+0.0135347
+0.0156179
+0.017727
+0.0198538
+0.0219932
+0.0206205
+0.0191985
+0.017932
+0.0168562
+0.0160095
+0.0154296
+0.0151287
+0.0150993
+0.0153851
+0.0159691
+0.0168202
+0.017852
+0.0190772
+0.0204642
+0.0219824
+0.0265628
+0.0256758
+0.0249501
+0.0244001
+0.024026
+0.0238211
+0.0238168
+0.0240132
+0.0244033
+0.0249453
+0.0256632
+0.0265429
+0.0275691
+0.0286927
+0.0298651
+0.0311421
+0.0318097
+0.0318902
+0.0321202
+0.0324966
+0.0330119
+0.033637
+0.0343905
+0.0352642
+0.0345027
+0.0334403
+0.0324657
+0.0316099
+0.030886
+0.0303035
+0.0298707
+0.0295942
+0.0289196
+0.0271134
+0.0253677
+0.0236962
+0.0220907
+0.0205747
+0.0191895
+0.0179433
+0.0168591
+0.0152088
+0.0131643
+0.0111753
+0.00927068
+0.00746628
+0.0054868
+0.00331383
+0.00115299
+-0.00100188
+-0.00311971
+-0.00208649
+-0.000206383
+0.00175931
+0.00376963
+0.00583067
+0.0079006
+0.0099636
+0.0101297
+0.0097647
+0.00963048
+0.00981276
+0.0100564
+0.0102784
+0.00921021
+0.00810127
+0.00688279
+0.00556172
+0.00423987
+0.00313598
+0.0020132
+0.00111225
+0.00119543
+0.00205928
+0.00336136
+0.0048745
+0.00663871
+0.00859891
+0.0106116
+0.0124499
+0.0143573
+0.0163359
+0.0183628
+0.0204235
+0.0225087
+0.0215606
+0.0202048
+0.0190056
+0.017994
+0.0172034
+0.0166651
+0.0163636
+0.0163365
+0.016601
+0.0171436
+0.0179107
+0.0189009
+0.0200676
+0.0213905
+0.0228473
+0.0280885
+0.0272512
+0.0265686
+0.0260528
+0.0256951
+0.0255036
+0.0254996
+0.0256831
+0.0260502
+0.0265666
+0.0272418
+0.0280722
+0.0290443
+0.0301446
+0.0313343
+0.0325564
+0.0338736
+0.0340605
+0.0342759
+0.0346289
+0.0351153
+0.0357081
+0.0364188
+0.037245
+0.0363734
+0.0353564
+0.0344331
+0.0336273
+0.0329478
+0.0324024
+0.0315201
+0.0296224
+0.0277679
+0.0259028
+0.0240696
+0.0223009
+0.0206135
+0.0190046
+0.0174955
+0.0161434
+0.0149452
+0.0139522
+0.0126294
+0.0106012
+0.00860582
+0.00669162
+0.00492824
+0.00307079
+0.00110232
+-0.000759816
+-0.00181461
+-0.000839468
+0.000997955
+0.00276409
+0.00461949
+0.00661588
+0.00859728
+0.0106374
+0.0122626
+0.0119493
+0.0117991
+0.0118967
+0.0121435
+0.0122143
+0.0109105
+0.00933213
+0.007891
+0.00663573
+0.00553639
+0.00458022
+0.00367648
+0.00312965
+0.00325613
+0.00397813
+0.00509489
+0.0064394
+0.00796571
+0.00966887
+0.0115306
+0.0134915
+0.015449
+0.0173033
+0.0192284
+0.0212051
+0.0232203
+0.022674
+0.0213889
+0.0202599
+0.0193139
+0.018571
+0.0180457
+0.0177528
+0.0177278
+0.0179718
+0.0184742
+0.0191882
+0.0201156
+0.0212294
+0.0224891
+0.0238789
+0.0296976
+0.0289069
+0.0282643
+0.02778
+0.0274376
+0.0272584
+0.0272546
+0.0274264
+0.0277705
+0.0282649
+0.0289004
+0.0296844
+0.0306054
+0.0316515
+0.0328107
+0.034053
+0.0353145
+0.0362332
+0.0364358
+0.0367681
+0.0372265
+0.0377928
+0.038465
+0.0392481
+0.038278
+0.0372999
+0.0364259
+0.0356652
+0.0343531
+0.0324009
+0.0304811
+0.0285598
+0.0266314
+0.0247467
+0.0229078
+0.0210417
+0.0192441
+0.0175362
+0.0159231
+0.0144244
+0.0131171
+0.011998
+0.0111313
+0.0102218
+0.00824221
+0.00626149
+0.00445894
+0.00285975
+0.00115069
+7.88812e-05
+-0.000400463
+-0.000186431
+0.00184155
+0.00396272
+0.00579988
+0.00760609
+0.00948993
+0.0114708
+0.0134737
+0.0141045
+0.0139256
+0.0140085
+0.0142617
+0.0136046
+0.0119398
+0.0104425
+0.00916739
+0.00806999
+0.00718005
+0.00627206
+0.00556357
+0.00526986
+0.00540595
+0.00603015
+0.00690723
+0.00815377
+0.0095269
+0.011057
+0.0127318
+0.0145315
+0.0164264
+0.0183872
+0.0202946
+0.0221765
+0.0241106
+0.0239275
+0.0227092
+0.0216371
+0.0207418
+0.0200468
+0.0195612
+0.0192913
+0.0192683
+0.019493
+0.0199572
+0.0206199
+0.0214856
+0.0225317
+0.0237345
+0.02506
+0.0313772
+0.0306299
+0.0300241
+0.0295687
+0.0292405
+0.0290724
+0.0290689
+0.02923
+0.0295531
+0.0300269
+0.0306259
+0.0313668
+0.0322398
+0.0332345
+0.0343403
+0.0355468
+0.0368294
+0.0381249
+0.0385992
+0.038913
+0.0393464
+0.0398888
+0.0405263
+0.0412163
+0.0402011
+0.0392695
+0.0375608
+0.0355283
+0.0335014
+0.0314964
+0.0295178
+0.0275713
+0.0256322
+0.023668
+0.0217472
+0.0198822
+0.0180376
+0.016203
+0.0144679
+0.0128497
+0.0113679
+0.0101133
+0.00911804
+0.00835486
+0.00766308
+0.00596661
+0.00453114
+0.00304047
+0.00157199
+0.00109518
+0.00050854
+0.000961687
+0.0024767
+0.00444831
+0.0065318
+0.00866831
+0.0105877
+0.0120623
+0.0134668
+0.0150306
+0.0160694
+0.0159523
+0.0145623
+0.0133148
+0.0122806
+0.0115238
+0.0107293
+0.00972561
+0.00891577
+0.00806759
+0.00755684
+0.00730062
+0.00756033
+0.00808739
+0.00885937
+0.00992364
+0.0112098
+0.012615
+0.0141503
+0.0158084
+0.0175662
+0.0194122
+0.0213235
+0.0232841
+0.0251607
+0.0252871
+0.0241308
+0.0231248
+0.0222893
+0.0216441
+0.021195
+0.0209462
+0.020925
+0.0211322
+0.021561
+0.0221759
+0.0229831
+0.0239639
+0.0250981
+0.0263659
+0.0331165
+0.0324093
+0.0318375
+0.0314037
+0.0310932
+0.0309352
+0.0309319
+0.0310834
+0.0313874
+0.0318396
+0.0324077
+0.0331088
+0.033937
+0.0348833
+0.0359384
+0.037093
+0.0383381
+0.0396535
+0.0407655
+0.0410627
+0.0414737
+0.0419945
+0.0426005
+0.043129
+0.041066
+0.0389717
+0.0368885
+0.0348186
+0.0327644
+0.0307218
+0.0286899
+0.026683
+0.0247075
+0.0227497
+0.020744
+0.0187797
+0.0168713
+0.0150382
+0.0131885
+0.0114156
+0.00979184
+0.00834229
+0.00718792
+0.00627468
+0.00561956
+0.00532654
+0.00405097
+0.00289631
+0.00164706
+0.00129801
+0.00121613
+0.00183412
+0.0033812
+0.00522756
+0.00660028
+0.00766353
+0.00903372
+0.0105024
+0.0120548
+0.0137685
+0.015589
+0.0149191
+0.0134456
+0.0121555
+0.0109413
+0.010028
+0.00946817
+0.00937002
+0.00966853
+0.0100215
+0.00959005
+0.00938948
+0.00967503
+0.0101598
+0.0108729
+0.0117879
+0.0129542
+0.0142839
+0.0157069
+0.0172452
+0.0188921
+0.0206197
+0.0223765
+0.0240623
+0.0258226
+0.0267512
+0.025661
+0.0247173
+0.0239374
+0.0233378
+0.0229199
+0.02269
+0.0226705
+0.0228618
+0.0232588
+0.0238319
+0.0245847
+0.0255041
+0.0265726
+0.0277732
+0.0349067
+0.0342365
+0.0336957
+0.0332802
+0.0329874
+0.0328385
+0.0328354
+0.0329781
+0.0332648
+0.0336918
+0.034237
+0.0349013
+0.0356879
+0.036589
+0.0375963
+0.0387014
+0.0398964
+0.0411733
+0.0425124
+0.0432165
+0.0436072
+0.0441034
+0.0446858
+0.0426988
+0.0405705
+0.0384491
+0.0363361
+0.0342327
+0.0321411
+0.0300636
+0.0280033
+0.0259497
+0.0239137
+0.0219075
+0.019932
+0.0178788
+0.0158623
+0.0138986
+0.0120138
+0.010199
+0.00839407
+0.00674769
+0.0053767
+0.00430521
+0.0035223
+0.00323035
+0.00307147
+0.00220297
+0.000894684
+0.00103034
+0.000919596
+0.00156483
+0.00255549
+0.00390698
+0.00476117
+0.00603116
+0.00751544
+0.00915433
+0.0108733
+0.0127091
+0.0146242
+0.0140786
+0.0124836
+0.0109606
+0.00960844
+0.00855796
+0.0078922
+0.00774161
+0.00801052
+0.00852785
+0.009404
+0.00925613
+0.00954164
+0.0101664
+0.0111637
+0.0124263
+0.0138068
+0.0146072
+0.0156584
+0.0169287
+0.0183354
+0.0198816
+0.0215399
+0.0232864
+0.0250967
+0.0269629
+0.0272813
+0.0263956
+0.0256668
+0.0251086
+0.0247143
+0.0245013
+0.0244832
+0.0246604
+0.0250289
+0.0255685
+0.0262716
+0.0271338
+0.0281406
+0.0292769
+0.0367403
+0.0361042
+0.0355918
+0.0351931
+0.0349163
+0.0347757
+0.0347727
+0.0349076
+0.0351785
+0.0355826
+0.0361065
+0.0367371
+0.0374852
+0.038344
+0.0393063
+0.0403647
+0.0415118
+0.0427405
+0.0440434
+0.0453739
+0.0457462
+0.0462194
+0.0444877
+0.0423359
+0.0401884
+0.0380458
+0.035909
+0.0337791
+0.0316575
+0.0295459
+0.0274468
+0.0253632
+0.0232993
+0.0212354
+0.0191961
+0.0171806
+0.0150922
+0.0130286
+0.0109955
+0.00903184
+0.0071708
+0.00536073
+0.00374755
+0.00249906
+0.0014788
+0.00108074
+0.00175523
+0.00122028
+-6.99246e-05
+0.000727712
+-0.00012131
+0.00078426
+0.00113795
+0.0019314
+0.00311736
+0.00457329
+0.00625885
+0.00808854
+0.009917
+0.0117758
+0.0137129
+0.0134613
+0.0116673
+0.0100227
+0.00854028
+0.00730834
+0.00649213
+0.0062739
+0.00661781
+0.00723541
+0.00799252
+0.0077679
+0.00802022
+0.00876219
+0.00988315
+0.0112815
+0.0127863
+0.0136367
+0.0147573
+0.0160825
+0.0175783
+0.0191827
+0.0208886
+0.0226779
+0.0245325
+0.0264385
+0.0283856
+0.0281445
+0.0274622
+0.0269412
+0.0265683
+0.0263702
+0.0263534
+0.0265181
+0.0268612
+0.0273703
+0.0280282
+0.028838
+0.0297872
+0.0308629
+0.0386112
+0.0380064
+0.03752
+0.0371366
+0.0368745
+0.0367413
+0.0367385
+0.0368662
+0.0371229
+0.037506
+0.0380102
+0.0386098
+0.0393223
+0.0401419
+0.0410621
+0.0420763
+0.043178
+0.0443605
+0.0456177
+0.0469412
+0.0478898
+0.0464146
+0.0442481
+0.0420841
+0.039923
+0.0377654
+0.0356117
+0.0334629
+0.0313199
+0.029184
+0.0270568
+0.0249406
+0.0228385
+0.0207535
+0.0186818
+0.0166145
+0.0145632
+0.0124212
+0.0102997
+0.00821464
+0.0061528
+0.00419151
+0.00244983
+0.000895844
+-0.000343805
+-0.000523905
+0.000587232
+-3.57327e-05
+-0.00116756
+-0.000107218
+-0.0012982
+8.05815e-05
+-0.000904764
+0.000237626
+0.00186249
+0.00348143
+0.00528545
+0.00710233
+0.00901936
+0.0110019
+0.0130328
+0.0130098
+0.0111671
+0.00944875
+0.00781014
+0.0064255
+0.00549314
+0.0052213
+0.00566429
+0.00636947
+0.00682926
+0.00646761
+0.00676423
+0.00758649
+0.00886512
+0.0104194
+0.0120143
+0.0129059
+0.0140847
+0.0154676
+0.0170175
+0.018696
+0.0204415
+0.0222623
+0.0241446
+0.0260751
+0.0280439
+0.0299516
+0.0293113
+0.0288206
+0.0284701
+0.0282853
+0.0282696
+0.0284233
+0.0287436
+0.029225
+0.0298423
+0.0306041
+0.0315001
+0.0325193
+0.0405141
+0.0399382
+0.0394754
+0.0391063
+0.0388575
+0.0387311
+0.0387285
+0.0388496
+0.0390933
+0.0394572
+0.0399382
+0.0405145
+0.0411941
+0.0419771
+0.0428579
+0.0438306
+0.0448892
+0.0460278
+0.0472407
+0.0485221
+0.0484631
+0.0462888
+0.0441162
+0.0419454
+0.0397767
+0.0376107
+0.0354477
+0.0332883
+0.0311332
+0.0289836
+0.0268405
+0.0247058
+0.0225818
+0.0204707
+0.0183671
+0.0162851
+0.0142358
+0.0121736
+0.00999969
+0.00783517
+0.00569071
+0.00357559
+0.00157258
+-0.0001219
+-0.00150573
+-0.00154191
+-0.00127757
+-0.00157269
+-0.00216425
+-0.00149726
+-0.00214293
+-0.001982
+-0.00215152
+-0.000575422
+0.0011463
+0.00283723
+0.00458022
+0.00651763
+0.00848952
+0.0105481
+0.0126512
+0.0129182
+0.0110469
+0.0092685
+0.00762856
+0.0061613
+0.00512286
+0.00479143
+0.005253
+0.00618022
+0.00609384
+0.00563338
+0.00588656
+0.00680984
+0.00822766
+0.00989178
+0.0115992
+0.0125204
+0.0137323
+0.0151475
+0.016727
+0.018432
+0.0202003
+0.022041
+0.0239407
+0.0258865
+0.0278686
+0.0298798
+0.0312047
+0.0307392
+0.0304108
+0.0302379
+0.0302232
+0.030367
+0.030667
+0.0311187
+0.031704
+0.0321989
+0.0326439
+0.0332276
+0.0424448
+0.0418954
+0.0414497
+0.0410984
+0.0408617
+0.0407416
+0.0407391
+0.0408542
+0.041086
+0.0414324
+0.0418908
+0.0424468
+0.0430959
+0.043845
+0.044689
+0.0456227
+0.0466406
+0.0477375
+0.0489079
+0.0501468
+0.0484418
+0.0462666
+0.0440928
+0.0419208
+0.0397508
+0.0375833
+0.0354186
+0.0332573
+0.0311001
+0.028948
+0.0268021
+0.024664
+0.0225361
+0.0204203
+0.018311
+0.0162217
+0.0141632
+0.012151
+0.0101163
+0.00796503
+0.00584316
+0.00380019
+0.00204119
+0.000814408
+0.000376591
+0.000597149
+0.000754059
+3.7529e-05
+-2.84872e-05
+0.000373538
+1.00186e-05
+2.68365e-05
+2.45033e-06
+0.000340959
+0.00156956
+0.00291903
+0.00455189
+0.0064567
+0.00846258
+0.0105325
+0.0126431
+0.0131535
+0.0112882
+0.00955426
+0.00797273
+0.00658152
+0.00556944
+0.00515482
+0.0055236
+0.00654667
+0.00596536
+0.00547186
+0.00570806
+0.00665615
+0.00810092
+0.00976278
+0.0115877
+0.0125123
+0.0137249
+0.0151408
+0.016721
+0.0184265
+0.0201953
+0.0220364
+0.0239365
+0.0258825
+0.0278649
+0.0298764
+0.0319115
+0.032692
+0.0323834
+0.0322211
+0.0322073
+0.0322923
+0.0321732
+0.0322029
+0.0323575
+0.0326537
+0.0330926
+0.0336686
+0.0443997
+0.0438747
+0.0434448
+0.0431098
+0.0428841
+0.0427697
+0.0427673
+0.042877
+0.0430979
+0.0434283
+0.0438658
+0.0444031
+0.045024
+0.0457415
+0.0465511
+0.0474482
+0.0484278
+0.049485
+0.0506151
+0.0506929
+0.0485196
+0.0463479
+0.0441782
+0.0420106
+0.0398455
+0.0376834
+0.0355248
+0.0333704
+0.031221
+0.0290767
+0.0269384
+0.0248088
+0.0226908
+0.020588
+0.0185056
+0.0164491
+0.0144155
+0.0124316
+0.0105301
+0.00853445
+0.00658298
+0.00481899
+0.00342942
+0.00254373
+0.00247013
+0.00272076
+0.00272192
+0.00208945
+0.00209262
+0.00251471
+0.00213714
+0.00215478
+0.002178
+0.00238979
+0.00297327
+0.00391861
+0.00525893
+0.00700908
+0.00889677
+0.0108844
+0.0129378
+0.0137106
+0.0119331
+0.0102789
+0.00877378
+0.00744602
+0.00650879
+0.00614379
+0.00646243
+0.00735606
+0.00651477
+0.00604995
+0.00621973
+0.00709642
+0.00846002
+0.0100497
+0.0118304
+0.0128373
+0.0140205
+0.0154161
+0.0169805
+0.0186662
+0.0204153
+0.0222428
+0.0241306
+0.0260634
+0.028033
+0.0300333
+0.0320584
+0.034104
+0.0339252
+0.0334447
+0.0331002
+0.0328639
+0.0327469
+0.0327761
+0.0329513
+0.0332453
+0.0336765
+0.0342426
+0.0463756
+0.0458733
+0.0454579
+0.0451378
+0.0449224
+0.0448132
+0.0448109
+0.0449156
+0.0451265
+0.0454422
+0.0458604
+0.0463785
+0.0469751
+0.0476633
+0.0484408
+0.0493035
+0.0502469
+0.0512667
+0.0523583
+0.0508593
+0.0486918
+0.0465264
+0.0443635
+0.0422034
+0.0400467
+0.0378939
+0.0357457
+0.0336029
+0.0314668
+0.0293387
+0.0272206
+0.0251149
+0.0230251
+0.0209559
+0.0189141
+0.0169083
+0.0149362
+0.0130318
+0.0112272
+0.00944416
+0.00770058
+0.00621269
+0.00508516
+0.00452182
+0.00449804
+0.00483335
+0.00465073
+0.00420106
+0.00424013
+0.00459583
+0.00428991
+0.00431641
+0.00435363
+0.00441159
+0.0047856
+0.00545726
+0.00655377
+0.00802638
+0.00974699
+0.0116216
+0.0135737
+0.0145277
+0.0128609
+0.0113296
+0.00991932
+0.0087381
+0.00794351
+0.00761759
+0.0078593
+0.00857168
+0.0076296
+0.00720357
+0.00734625
+0.00810195
+0.00931956
+0.0107832
+0.0124595
+0.0134883
+0.0146188
+0.0159622
+0.0174778
+0.0191247
+0.0208413
+0.0226344
+0.0244922
+0.0264011
+0.0283508
+0.0303334
+0.0323429
+0.0343745
+0.0346086
+0.0341378
+0.0337973
+0.033569
+0.0334544
+0.0334831
+0.0336546
+0.0339427
+0.0343651
+0.0349201
+0.04837
+0.0478886
+0.0474867
+0.0471804
+0.0469744
+0.0468699
+0.0468677
+0.0469678
+0.0471696
+0.0474717
+0.0478722
+0.0483687
+0.0489465
+0.0496073
+0.0503548
+0.0511853
+0.0520946
+0.0530789
+0.0532629
+0.0511033
+0.0489466
+0.046793
+0.044643
+0.0424972
+0.0403561
+0.0382208
+0.036092
+0.0339711
+0.0318597
+0.0297597
+0.0276739
+0.0256055
+0.0235592
+0.0215414
+0.0195607
+0.0176287
+0.0157419
+0.0139382
+0.0122613
+0.0106487
+0.00911522
+0.00787056
+0.00699155
+0.00659498
+0.0066104
+0.00699028
+0.00662216
+0.00632751
+0.00640541
+0.00669142
+0.00646308
+0.00649293
+0.00653472
+0.00647583
+0.00671052
+0.00726662
+0.00813916
+0.0094063
+0.0109338
+0.0126468
+0.0144613
+0.0155976
+0.0140187
+0.0126155
+0.0113339
+0.0102979
+0.0095899
+0.00932171
+0.00950419
+0.00991737
+0.00911545
+0.00872594
+0.00884409
+0.00948115
+0.0105435
+0.011881
+0.0134209
+0.0144453
+0.0155063
+0.0167788
+0.0182266
+0.0198113
+0.0214815
+0.0232268
+0.0250408
+0.0269108
+0.028826
+0.0307781
+0.0327603
+0.0347675
+0.0354147
+0.0349522
+0.0346192
+0.0343994
+0.0342876
+0.0343155
+0.0344829
+0.0347641
+0.0351767
+0.0357191
+0.0503807
+0.0499175
+0.0495294
+0.0492357
+0.0490383
+0.0489383
+0.0489362
+0.0490321
+0.0492254
+0.0495149
+0.049899
+0.0503756
+0.0509358
+0.0515711
+0.0522906
+0.0530907
+0.053968
+0.0549187
+0.0535855
+0.0514396
+0.0492975
+0.04716
+0.0450275
+0.0429009
+0.0407811
+0.0386692
+0.0365665
+0.0344749
+0.0323963
+0.0303335
+0.0282899
+0.0262701
+0.0242799
+0.0223273
+0.020423
+0.0185695
+0.0167837
+0.015105
+0.0135626
+0.0121132
+0.0107899
+0.00970101
+0.00900785
+0.00872437
+0.00875568
+0.0090904
+0.00867296
+0.00848115
+0.00858197
+0.00883223
+0.00864425
+0.00867657
+0.00868067
+0.0086004
+0.00873689
+0.00917501
+0.0099423
+0.0110139
+0.0123492
+0.0138986
+0.0156024
+0.0168354
+0.0153775
+0.0140875
+0.0129326
+0.0120344
+0.0114086
+0.0111841
+0.0113353
+0.0114982
+0.0107988
+0.0104447
+0.0105436
+0.0110834
+0.0120047
+0.0132271
+0.0146409
+0.0156515
+0.0166366
+0.0178286
+0.0191974
+0.0207079
+0.0223111
+0.0239983
+0.0257615
+0.0275855
+0.0294569
+0.0313697
+0.0333167
+0.0352924
+0.036335
+0.0358816
+0.0355562
+0.0353389
+0.0352374
+0.0352646
+0.0354275
+0.0357013
+0.0361031
+0.0366318
+0.0524059
+0.0519569
+0.0515841
+0.0513023
+0.0511128
+0.0510169
+0.0510149
+0.0511068
+0.0512923
+0.0515703
+0.0519392
+0.0523972
+0.0529409
+0.0535526
+0.0542457
+0.0550175
+0.0558645
+0.056129
+0.0539953
+0.0518662
+0.0497426
+0.047625
+0.0455143
+0.0434116
+0.041318
+0.039235
+0.0371644
+0.0351083
+0.0330696
+0.0310515
+0.0290585
+0.027096
+0.0251712
+0.0232935
+0.0214715
+0.0197053
+0.0180324
+0.0164788
+0.0150386
+0.0137718
+0.0125843
+0.0116533
+0.0110746
+0.010836
+0.0108967
+0.0110904
+0.0107217
+0.0105666
+0.0107601
+0.0109926
+0.0108262
+0.0108631
+0.0108089
+0.0107356
+0.0108127
+0.0111697
+0.0118387
+0.0127861
+0.0139563
+0.0153477
+0.0169061
+0.0182478
+0.0168964
+0.0157208
+0.0146848
+0.0138739
+0.0133347
+0.0131431
+0.0132758
+0.0132437
+0.0126159
+0.0123142
+0.0123982
+0.0128604
+0.0136624
+0.0147369
+0.016018
+0.0170472
+0.0179562
+0.0190733
+0.0203585
+0.0217887
+0.0233177
+0.0249369
+0.026638
+0.0284062
+0.0302298
+0.0320994
+0.0340055
+0.0359433
+0.0373588
+0.0369177
+0.0365948
+0.0363834
+0.0362948
+0.0363212
+0.0364794
+0.0367453
+0.0371359
+0.03765
+0.0544439
+0.0540082
+0.0536496
+0.0533787
+0.0531967
+0.0531044
+0.0531025
+0.0531909
+0.0533691
+0.0536363
+0.0539911
+0.0544319
+0.0549565
+0.0555497
+0.0562183
+0.0569633
+0.0577818
+0.0566051
+0.05449
+0.0523811
+0.0502792
+0.0481852
+0.0461002
+0.0440254
+0.0419625
+0.0399131
+0.0378796
+0.0358646
+0.0338714
+0.0319041
+0.0299679
+0.028069
+0.0262158
+0.0244067
+0.0226574
+0.0209912
+0.0194293
+0.0179825
+0.0166725
+0.0155489
+0.0144793
+0.0136778
+0.0131731
+0.0129732
+0.0130292
+0.0131513
+0.0128175
+0.0126808
+0.0128866
+0.0131508
+0.0130092
+0.0130509
+0.012958
+0.0128715
+0.0129264
+0.0132265
+0.0138196
+0.0146394
+0.0157033
+0.0169542
+0.0183775
+0.0197802
+0.0185299
+0.0174581
+0.0165245
+0.0158015
+0.0153302
+0.0151639
+0.015284
+0.0150912
+0.0145334
+0.0142723
+0.0143448
+0.0147461
+0.0154506
+0.016401
+0.0175611
+0.0185968
+0.0194334
+0.0204713
+0.0216794
+0.0230277
+0.0244794
+0.0260265
+0.0276606
+0.0293674
+0.0311347
+0.032953
+0.0348142
+0.0367111
+0.03848
+0.0380519
+0.0377318
+0.0375269
+0.037446
+0.0374716
+0.037625
+0.0378874
+0.0382663
+0.0387654
+0.0564933
+0.05607
+0.0557247
+0.0554639
+0.0552888
+0.0552
+0.0551982
+0.0552832
+0.0554547
+0.0557119
+0.0560536
+0.0564782
+0.056984
+0.0575609
+0.0582064
+0.0589263
+0.0592621
+0.0571613
+0.0550676
+0.0529817
+0.0509045
+0.0488374
+0.0467814
+0.0447383
+0.0427098
+0.0406981
+0.0387058
+0.0367361
+0.0347929
+0.0328808
+0.0310056
+0.0291708
+0.0273753
+0.0256414
+0.0239824
+0.0224149
+0.0209593
+0.019616
+0.0184224
+0.0173912
+0.0164404
+0.0157392
+0.0152908
+0.0151189
+0.0151782
+0.0152484
+0.0149308
+0.0148172
+0.0150062
+0.0152719
+0.0151729
+0.0152397
+0.015119
+0.0150233
+0.0150622
+0.0153205
+0.015841
+0.0165752
+0.0175403
+0.0186779
+0.0199787
+0.0214065
+0.0202569
+0.0192813
+0.0184402
+0.0177895
+0.0173723
+0.0172257
+0.0173319
+0.0170053
+0.0165117
+0.0162823
+0.0163459
+0.0166992
+0.0173244
+0.0181771
+0.0192304
+0.0202651
+0.0210355
+0.0219979
+0.0231284
+0.0244009
+0.0257754
+0.0272489
+0.0288139
+0.030456
+0.0321636
+0.0339268
+0.0357373
+0.0375877
+0.0394712
+0.0392756
+0.038959
+0.0387605
+0.0386814
+0.0387061
+0.0388546
+0.0391189
+0.0394859
+0.0399699
+0.0585529
+0.0581413
+0.0578084
+0.057557
+0.0573882
+0.0573027
+0.057301
+0.0573829
+0.0575481
+0.057796
+0.0581254
+0.0585351
+0.0590232
+0.0595848
+0.0602086
+0.0609048
+0.0598737
+0.0577952
+0.0557253
+0.053665
+0.0516153
+0.0495778
+0.0475539
+0.0455454
+0.0435545
+0.0415837
+0.039636
+0.0377149
+0.0358248
+0.0339709
+0.0321473
+0.0303699
+0.0286497
+0.0269978
+0.0254274
+0.0239546
+0.0225939
+0.0213495
+0.0202582
+0.0193016
+0.0184496
+0.0178275
+0.0174215
+0.0172708
+0.0173376
+0.0173601
+0.0170587
+0.0169675
+0.0171328
+0.0174015
+0.0173147
+0.0174289
+0.0172875
+0.0171837
+0.0172118
+0.0174383
+0.0178979
+0.0185677
+0.0194342
+0.0204909
+0.0216832
+0.0230223
+0.0220664
+0.0211743
+0.0204101
+0.0198071
+0.0194332
+0.0193023
+0.0193972
+0.0189792
+0.0185378
+0.0183338
+0.0183903
+0.018705
+0.0192653
+0.0200355
+0.0209958
+0.0220078
+0.0227191
+0.023613
+0.0246696
+0.0258689
+0.0271863
+0.0285872
+0.0300826
+0.031659
+0.033305
+0.0350107
+0.0367679
+0.0385689
+0.0404067
+0.0405775
+0.040268
+0.040076
+0.0399986
+0.0400226
+0.0401662
+0.0404282
+0.0407869
+0.0412556
+0.0606198
+0.0602209
+0.0598996
+0.0596571
+0.0594942
+0.0594118
+0.0594101
+0.0594891
+0.0596485
+0.0598877
+0.0602057
+0.0606012
+0.0610729
+0.0616188
+0.0622235
+0.062622
+0.0605585
+0.0585043
+0.0564604
+0.0544279
+0.0524081
+0.0504027
+0.0484133
+0.0464419
+0.0444912
+0.0425638
+0.040663
+0.0387928
+0.0369525
+0.0351449
+0.0333833
+0.0316753
+0.0300299
+0.0284582
+0.026973
+0.025588
+0.0243125
+0.0231606
+0.0221585
+0.0212661
+0.0204959
+0.0199376
+0.0195655
+0.0194314
+0.0195041
+0.0194477
+0.0192007
+0.0191269
+0.0192737
+0.0195431
+0.0194658
+0.0195598
+0.0194496
+0.0193457
+0.0193706
+0.0195721
+0.0199821
+0.0205826
+0.0213682
+0.0223418
+0.0234686
+0.0247111
+0.0239396
+0.02312
+0.0224042
+0.0218559
+0.0215177
+0.0213995
+0.0214873
+0.0209962
+0.0205969
+0.0204135
+0.0204642
+0.0207475
+0.021254
+0.0219553
+0.0228349
+0.0238144
+0.0244733
+0.0253053
+0.026294
+0.0274224
+0.028674
+0.0300259
+0.0314529
+0.0329639
+0.0345477
+0.036195
+0.0378972
+0.039647
+0.041437
+0.0419504
+0.0416511
+0.0414655
+0.04139
+0.0414131
+0.0415519
+0.0418052
+0.0421601
+0.0426137
+0.0626938
+0.0623083
+0.0619978
+0.0617634
+0.0616062
+0.0615266
+0.0615249
+0.0616012
+0.0617552
+0.0619862
+0.0622935
+0.0626759
+0.063132
+0.0636603
+0.0642499
+0.0633528
+0.061314
+0.059286
+0.0572699
+0.0552672
+0.0532793
+0.0513079
+0.049355
+0.0474228
+0.0455141
+0.0436319
+0.041779
+0.0399499
+0.0381586
+0.0364109
+0.0347136
+0.0330744
+0.0315022
+0.0300077
+0.0286031
+0.0272939
+0.0261018
+0.0250324
+0.0241081
+0.0232711
+0.0225694
+0.0220574
+0.0217187
+0.021598
+0.0216754
+0.021553
+0.0213526
+0.0212928
+0.0214247
+0.0216944
+0.021611
+0.0216763
+0.0216044
+0.0215055
+0.0215237
+0.0217172
+0.0220827
+0.022628
+0.0233449
+0.0242392
+0.0252922
+0.0264654
+0.0258628
+0.0251036
+0.0244317
+0.0239299
+0.0236214
+0.0235138
+0.0235796
+0.0230448
+0.022673
+0.0225065
+0.0225526
+0.0228099
+0.0232716
+0.0239216
+0.0247315
+0.0256809
+0.0262931
+0.0270692
+0.0279957
+0.029058
+0.030242
+0.0315339
+0.0329121
+0.034359
+0.0358813
+0.0374699
+0.0391168
+0.0408142
+0.0425552
+0.0433906
+0.0431013
+0.0429219
+0.0428482
+0.0428706
+0.0430047
+0.0432495
+0.043598
+0.0440367
+0.0647755
+0.0644024
+0.0641021
+0.0638755
+0.0637234
+0.0636465
+0.0636449
+0.0637186
+0.0638675
+0.0640909
+0.0643882
+0.0647582
+0.0651997
+0.0657114
+0.0661742
+0.0641502
+0.0621375
+0.0601373
+0.0581508
+0.0561795
+0.054225
+0.0522892
+0.0503744
+0.0484829
+0.0466176
+0.0447751
+0.0429616
+0.0411847
+0.0394495
+0.0377617
+0.0361279
+0.0345558
+0.0330542
+0.0316331
+0.0302979
+0.0290648
+0.0279484
+0.0269524
+0.0260856
+0.0253068
+0.0246631
+0.0241873
+0.0238788
+0.0237691
+0.0238502
+0.0236639
+0.0234918
+0.0234465
+0.0235705
+0.0238529
+0.023744
+0.0238044
+0.0237656
+0.0236476
+0.0236632
+0.0238493
+0.0241991
+0.0246983
+0.0253568
+0.0261825
+0.0271531
+0.0282225
+0.0278256
+0.0271171
+0.0264853
+0.0260231
+0.0257397
+0.0256409
+0.0256063
+0.0251118
+0.0247689
+0.0246166
+0.0246587
+0.0248943
+0.0253179
+0.0259204
+0.0266731
+0.0275763
+0.0281658
+0.0288916
+0.0297614
+0.0307628
+0.0318836
+0.0331115
+0.0344351
+0.0358338
+0.037296
+0.0388268
+0.0404183
+0.0420633
+0.0437546
+0.0448915
+0.0446119
+0.0444387
+0.0443667
+0.0443883
+0.0445179
+0.0447544
+0.0450958
+0.0455208
+0.0668642
+0.0665028
+0.066212
+0.0659927
+0.0658455
+0.065771
+0.0657695
+0.0658408
+0.0659849
+0.0662012
+0.066489
+0.0668474
+0.0672752
+0.0677712
+0.0670096
+0.0650116
+0.0630265
+0.0610554
+0.0590997
+0.0571611
+0.0552414
+0.0533426
+0.0514669
+0.0496147
+0.047784
+0.0459848
+0.0442209
+0.0424967
+0.0408173
+0.0391884
+0.0376167
+0.0361094
+0.0346752
+0.0333191
+0.0320526
+0.0308897
+0.0298416
+0.0289109
+0.0280922
+0.0273665
+0.0267724
+0.0263271
+0.026044
+0.0259434
+0.0260275
+0.0257866
+0.025637
+0.0255958
+0.0257162
+0.0259916
+0.0258866
+0.025942
+0.0259096
+0.0257978
+0.0258112
+0.0259852
+0.0263187
+0.0267878
+0.0273961
+0.0281561
+0.0290342
+0.0300367
+0.0298201
+0.029146
+0.0285591
+0.028131
+0.0278691
+0.0277779
+0.0276514
+0.0271956
+0.0268799
+0.0267396
+0.0267784
+0.0269955
+0.0273866
+0.0279446
+0.0286507
+0.0294934
+0.0300814
+0.0307621
+0.0315804
+0.0325259
+0.0335878
+0.0347556
+0.0360188
+0.0373679
+0.0387828
+0.0402571
+0.0417943
+0.0433871
+0.0450287
+0.0464472
+0.0461771
+0.0460097
+0.0459395
+0.0459604
+0.0460855
+0.046314
+0.0466444
+0.04706
+0.0689592
+0.0686089
+0.068327
+0.0681145
+0.0679719
+0.0678998
+0.0678983
+0.0679674
+0.068107
+0.0683165
+0.0685955
+0.0689429
+0.0693578
+0.0698391
+0.0679054
+0.0659346
+0.0639781
+0.0620372
+0.0601136
+0.0582088
+0.0563247
+0.0544637
+0.0526205
+0.0508036
+0.0490173
+0.0472651
+0.0455508
+0.0438789
+0.0422545
+0.0406832
+0.0391714
+0.0377264
+0.0363533
+0.0350595
+0.0338582
+0.0327594
+0.0317731
+0.0309005
+0.0301245
+0.0294451
+0.0288938
+0.0284747
+0.0282131
+0.0281203
+0.0281979
+0.0279199
+0.0277892
+0.0277513
+0.027869
+0.0281282
+0.0280365
+0.0280878
+0.0280575
+0.0279543
+0.0279659
+0.0281295
+0.0284379
+0.0288923
+0.0294461
+0.0301287
+0.0309516
+0.0318981
+0.0318404
+0.0311969
+0.0306493
+0.0302508
+0.0300073
+0.0299227
+0.0297173
+0.0292946
+0.0290027
+0.0288727
+0.0289086
+0.0291099
+0.029473
+0.0299921
+0.0306572
+0.0314462
+0.0320323
+0.0326724
+0.0334439
+0.0343382
+0.0353457
+0.0364572
+0.0376634
+0.0389556
+0.0403255
+0.0417534
+0.0432374
+0.044779
+0.0463713
+0.0480108
+0.0477914
+0.0476298
+0.0475613
+0.0475814
+0.0477023
+0.0479231
+0.0482425
+0.0486492
+0.07106
+0.0707201
+0.0704467
+0.0702405
+0.0701023
+0.0700323
+0.0700309
+0.0700979
+0.0702333
+0.0704365
+0.0707071
+0.0710442
+0.0714469
+0.0708165
+0.0688593
+0.0669166
+0.0649897
+0.06308
+0.0611891
+0.0593188
+0.0574675
+0.0556364
+0.0538322
+0.0520576
+0.0503158
+0.0486104
+0.0469453
+0.0453249
+0.0437541
+0.0422387
+0.0407846
+0.0393975
+0.0380811
+0.036848
+0.0357068
+0.0346667
+0.0337362
+0.0329097
+0.0321776
+0.0315389
+0.0310239
+0.0306284
+0.0303854
+0.0302992
+0.030322
+0.0300615
+0.0299471
+0.0299118
+0.0300272
+0.0302722
+0.0301905
+0.0302401
+0.0302115
+0.0301157
+0.0301258
+0.0302804
+0.0305672
+0.0309782
+0.0314904
+0.0321296
+0.0329025
+0.0337991
+0.0338819
+0.0332656
+0.0327526
+0.03238
+0.0321527
+0.0320737
+0.0317998
+0.031406
+0.0311349
+0.0310139
+0.0310473
+0.0312348
+0.0315735
+0.0320586
+0.0326837
+0.0334285
+0.0340124
+0.0346159
+0.0353451
+0.0361924
+0.0371497
+0.0382087
+0.0393613
+0.0405995
+0.0419156
+0.0433027
+0.0447414
+0.0462328
+0.0477767
+0.0493696
+0.0494502
+0.049294
+0.0492271
+0.0492466
+0.0493633
+0.0495767
+0.0498855
+0.0502837
+0.073166
+0.0728359
+0.0725705
+0.0723704
+0.0722363
+0.0721684
+0.072167
+0.072232
+0.0723634
+0.0725606
+0.0728233
+0.0731507
+0.0735419
+0.0717986
+0.0698689
+0.0679551
+0.0660584
+0.0641805
+0.0623224
+0.0604797
+0.0586608
+0.0568682
+0.0551043
+0.053372
+0.0516746
+0.0500155
+0.0483988
+0.0468287
+0.0453101
+0.0438485
+0.0424494
+0.041114
+0.0398544
+0.0386778
+0.0375923
+0.0366057
+0.0357258
+0.0349365
+0.0342477
+0.0336451
+0.0331573
+0.0327869
+0.0325601
+0.0324797
+0.0324529
+0.0322096
+0.0321077
+0.0320765
+0.0321888
+0.0324225
+0.0323472
+0.0323975
+0.0323705
+0.0322811
+0.0322898
+0.0324367
+0.0327045
+0.0330727
+0.0335531
+0.0341538
+0.0348819
+0.0357297
+0.035941
+0.035349
+0.0348666
+0.0345169
+0.0343037
+0.0342297
+0.033896
+0.0335272
+0.0332747
+0.0331615
+0.0331928
+0.0333682
+0.0336854
+0.0341406
+0.0347282
+0.0354354
+0.0360169
+0.0365874
+0.037278
+0.0380823
+0.0389932
+0.0400035
+0.0411058
+0.0422929
+0.0435579
+0.0448943
+0.0462957
+0.0477429
+0.0492395
+0.0507865
+0.0511489
+0.0509979
+0.0509327
+0.0509515
+0.0510644
+0.0512707
+0.0515693
+0.0519584
+0.0752769
+0.0749561
+0.0746982
+0.0745039
+0.0743735
+0.0743076
+0.0743062
+0.0743694
+0.074497
+0.0746886
+0.0749439
+0.075262
+0.0747507
+0.0728334
+0.0709318
+0.0690475
+0.0671817
+0.0653313
+0.0635002
+0.0616926
+0.0599106
+0.0581564
+0.0564328
+0.0547426
+0.053089
+0.0514756
+0.0499061
+0.048385
+0.0469168
+0.0455068
+0.044156
+0.0428738
+0.0416674
+0.0405435
+0.0395092
+0.0385718
+0.0377377
+0.036982
+0.036332
+0.0357613
+0.0352972
+0.0349495
+0.0347368
+0.0346614
+0.0345719
+0.0343631
+0.0342709
+0.0342445
+0.0343513
+0.0345724
+0.0345073
+0.0345591
+0.0345335
+0.0344497
+0.0344572
+0.0345968
+0.0348458
+0.0351789
+0.0356312
+0.0361974
+0.0368852
+0.0376879
+0.0380144
+0.0374446
+0.0369896
+0.0366601
+0.0364595
+0.0363899
+0.0360035
+0.0356565
+0.0354181
+0.0353118
+0.0353412
+0.035506
+0.0358043
+0.0362328
+0.036787
+0.0374613
+0.038042
+0.0385825
+0.039238
+0.0400029
+0.0408711
+0.041836
+0.0428913
+0.0440303
+0.0452467
+0.0465346
+0.0478881
+0.0493018
+0.0507547
+0.0522568
+0.0528839
+0.0527379
+0.0526741
+0.0526923
+0.0528015
+0.0530011
+0.05329
+0.0536669
+0.0773923
+0.0770803
+0.0768295
+0.0766405
+0.0765138
+0.0764498
+0.0764484
+0.0765098
+0.0766339
+0.0768202
+0.0770683
+0.0773777
+0.0758085
+0.0739186
+0.0720457
+0.0701894
+0.0683481
+0.0665279
+0.0647307
+0.0629584
+0.0612132
+0.0594975
+0.0578139
+0.0561653
+0.0545548
+0.052986
+0.0514626
+0.0499889
+0.0485692
+0.0472053
+0.0459037
+0.0446717
+0.0435152
+0.0424402
+0.0414533
+0.0405608
+0.0397685
+0.0390432
+0.0384281
+0.0378861
+0.037443
+0.0371154
+0.0369151
+0.0368443
+0.0366842
+0.0365175
+0.0364363
+0.0364152
+0.0365145
+0.0367226
+0.036671
+0.0367241
+0.0366997
+0.0366209
+0.0366274
+0.0367595
+0.0369808
+0.0372948
+0.037722
+0.0382573
+0.0389087
+0.0396705
+0.0400912
+0.0395506
+0.0391201
+0.0388087
+0.0386192
+0.0385535
+0.0381189
+0.0377904
+0.0375647
+0.0374645
+0.0374921
+0.0376475
+0.037929
+0.0383338
+0.038858
+0.039497
+0.0400845
+0.0405978
+0.0412213
+0.04195
+0.0427787
+0.0437015
+0.0447128
+0.0458065
+0.046977
+0.0482187
+0.0495262
+0.0508944
+0.0523178
+0.0537763
+0.0546516
+0.0545103
+0.0544481
+0.0544657
+0.0545713
+0.0547644
+0.0550441
+0.055409
+0.0795116
+0.079208
+0.078964
+0.0787801
+0.0786569
+0.0785946
+0.0785933
+0.078653
+0.0787737
+0.0789549
+0.0791964
+0.0787931
+0.0769141
+0.075052
+0.0732026
+0.0713718
+0.0695617
+0.0677742
+0.0660109
+0.0642739
+0.0625654
+0.0608878
+0.0592437
+0.057636
+0.0560678
+0.0545426
+0.0530639
+0.0516359
+0.0502606
+0.0489422
+0.047688
+0.0465033
+0.0453934
+0.0443641
+0.0434209
+0.0425697
+0.0418075
+0.0411171
+0.0405335
+0.040018
+0.0395937
+0.039284
+0.0390949
+0.0390279
+0.0388051
+0.0386475
+0.0385824
+0.0385877
+0.0386802
+0.0388766
+0.0388377
+0.038892
+0.0388687
+0.0387943
+0.0387999
+0.0389244
+0.0391219
+0.0394189
+0.0398236
+0.0403309
+0.0409493
+0.0416739
+0.0421794
+0.0416652
+0.0412568
+0.0409617
+0.0407822
+0.0406652
+0.0402393
+0.0399288
+0.0397161
+0.0396213
+0.0396475
+0.0397944
+0.0400608
+0.0404443
+0.0409415
+0.0415485
+0.0421418
+0.0426304
+0.0432246
+0.0439201
+0.0447122
+0.045596
+0.0465661
+0.0476173
+0.0487443
+0.0499421
+0.0512056
+0.0525301
+0.0539111
+0.0553407
+0.056449
+0.0563122
+0.0562514
+0.0562684
+0.0563706
+0.0565576
+0.0568285
+0.057182
+0.0816348
+0.0813391
+0.0811015
+0.0809225
+0.0808025
+0.0807419
+0.0807406
+0.0807988
+0.0809162
+0.0810927
+0.0813278
+0.0799175
+0.0780627
+0.0762227
+0.0744016
+0.072601
+0.0708224
+0.0690674
+0.067338
+0.0656362
+0.0639641
+0.0623242
+0.060719
+0.0591514
+0.0576245
+0.0561415
+0.0547061
+0.0533208
+0.0519877
+0.0507142
+0.049505
+0.0483648
+0.0472986
+0.0463116
+0.0454089
+0.0445956
+0.0438585
+0.0432009
+0.0426459
+0.042154
+0.0417485
+0.041455
+0.0412758
+0.0411516
+0.0409334
+0.0407839
+0.0407216
+0.0407432
+0.0408354
+0.0410345
+0.0410014
+0.0410495
+0.04104
+0.0409695
+0.0409743
+0.0410919
+0.0412683
+0.04155
+0.0419342
+0.0424164
+0.0430048
+0.0436953
+0.0442776
+0.0437874
+0.043399
+0.0431185
+0.042948
+0.0427716
+0.0423668
+0.0420723
+0.0418715
+0.0417816
+0.0418065
+0.0419458
+0.0421987
+0.0425629
+0.0430356
+0.0436134
+0.044212
+0.0446779
+0.0452452
+0.0459102
+0.0466685
+0.0475159
+0.0484476
+0.0494588
+0.0505448
+0.0517008
+0.0529224
+0.0542049
+0.0555443
+0.0569365
+0.0582733
+0.0581408
+0.0580813
+0.0580978
+0.0581968
+0.0583779
+0.0586404
+0.0589831
+0.0837615
+0.0834733
+0.0832417
+0.0830674
+0.0829505
+0.0828914
+0.0828902
+0.0829468
+0.0830612
+0.0832332
+0.0829272
+0.0810793
+0.0792487
+0.0774368
+0.0756451
+0.0738748
+0.0721276
+0.0704051
+0.0687094
+0.0670424
+0.0654063
+0.0638034
+0.0622364
+0.060708
+0.0592212
+0.0577792
+0.0563851
+0.0550391
+0.0537486
+0.0525179
+0.0513511
+0.0502528
+0.0492276
+0.04828
+0.0474148
+0.0466365
+0.045922
+0.0452944
+0.0447653
+0.0442927
+0.0439069
+0.0436279
+0.0434576
+0.0432754
+0.043068
+0.0429258
+0.042866
+0.0429023
+0.0429898
+0.0431885
+0.0431592
+0.0431895
+0.0432133
+0.0431463
+0.0431503
+0.0432607
+0.0434191
+0.0436869
+0.0440511
+0.0445103
+0.0450714
+0.0457307
+0.0463843
+0.045916
+0.0455457
+0.0452785
+0.0451162
+0.044886
+0.0445005
+0.0442203
+0.0440305
+0.043945
+0.0439686
+0.0441011
+0.0443417
+0.0446884
+0.0451389
+0.0456901
+0.0462933
+0.0467384
+0.047281
+0.0479177
+0.0486448
+0.0494583
+0.0503541
+0.0513278
+0.052375
+0.0534915
+0.054673
+0.0559155
+0.0572148
+0.0585673
+0.0599694
+0.0599937
+0.0599354
+0.0599514
+0.0600474
+0.060223
+0.0604774
+0.0608098
+0.0924959
+0.0906298
+0.0887785
+0.086943
+0.0851244
+0.0833236
+0.0815419
+0.0797806
+0.078041
+0.0763246
+0.0746331
+0.0729682
+0.0713317
+0.0697256
+0.0681521
+0.0666132
+0.0650993
+0.0636247
+0.0621924
+0.0608053
+0.0594666
+0.0581796
+0.0569478
+0.0557748
+0.0546646
+0.0536208
+0.0526476
+0.0517305
+0.0508735
+0.0500976
+0.0494068
+0.0488046
+0.0482944
+0.0478791
+0.0475498
+0.0473115
+0.0471739
+0.0471377
+0.0472033
+0.0473702
+0.0476374
+0.0479622
+0.0482622
+0.0486489
+0.0491303
+0.0496956
+0.0503395
+0.0510693
+0.0518701
+0.0524963
+0.0532054
+0.0539942
+0.0548591
+0.0557961
+0.0567864
+0.0578428
+0.0589616
+0.0601127
+0.0613165
+0.062486
+0.063679
+0.064924
+0.0654145
+0.0646234
+0.0638976
+0.0632395
+0.062651
+0.0621343
+0.0616911
+0.061323
+0.0610313
+0.0608173
+0.0606815
+0.0606247
+0.0606471
+0.0607341
+0.0608989
+0.0611418
+0.0614619
+0.0618576
+0.0622984
+0.0628126
+0.0633583
+0.0639705
+0.0646513
+0.0653983
+0.0661943
+0.0669426
+0.0677536
+0.0686247
+0.0695416
+0.070514
+0.0715403
+0.0726182
+0.0737372
+0.0748992
+0.0761064
+0.0773569
+0.0786485
+0.0799793
+0.0915337
+0.0896476
+0.0877756
+0.0859187
+0.0840779
+0.0822542
+0.0804488
+0.078663
+0.0768982
+0.0751557
+0.0734373
+0.0717446
+0.0700795
+0.068444
+0.0668404
+0.0652708
+0.0637379
+0.0622326
+0.0607675
+0.0593471
+0.0579747
+0.0566538
+0.055388
+0.0541813
+0.0530377
+0.0519317
+0.0508898
+0.0499223
+0.0490336
+0.0482282
+0.0475102
+0.0468836
+0.0463523
+0.0459194
+0.0455795
+0.0453308
+0.0451871
+0.0451493
+0.0452178
+0.045392
+0.0456708
+0.0460522
+0.0463915
+0.0467937
+0.0472914
+0.0478675
+0.0485356
+0.0492921
+0.0498901
+0.0505409
+0.051277
+0.052095
+0.0529909
+0.0539515
+0.054975
+0.0560655
+0.0572018
+0.0583834
+0.0595455
+0.0607173
+0.0619444
+0.0632236
+0.063988
+0.063179
+0.0624365
+0.0617627
+0.0611601
+0.0606307
+0.0601764
+0.059799
+0.0594998
+0.0592802
+0.059141
+0.0590827
+0.0591056
+0.0591943
+0.0593634
+0.0596126
+0.0599408
+0.0603192
+0.0607712
+0.0612904
+0.0618456
+0.0624726
+0.0631695
+0.0639066
+0.0646072
+0.0653737
+0.0662039
+0.067088
+0.0680249
+0.0690187
+0.0700669
+0.0711616
+0.0722985
+0.0734832
+0.0747133
+0.0759867
+0.0773012
+0.0786043
+0.0906143
+0.0887086
+0.0868164
+0.0849385
+0.083076
+0.0812298
+0.0794011
+0.0775912
+0.0758014
+0.0740332
+0.0722881
+0.0705678
+0.0688743
+0.0672095
+0.0655756
+0.0639751
+0.0624103
+0.0608842
+0.0593891
+0.0579349
+0.0565283
+0.0551727
+0.0538544
+0.052586
+0.0513752
+0.0502263
+0.0491482
+0.0481458
+0.0472237
+0.0463868
+0.0456399
+0.0449873
+0.0444332
+0.0439815
+0.0436301
+0.0433702
+0.04322
+0.0431805
+0.0432521
+0.0434342
+0.0437255
+0.0441237
+0.0445494
+0.044968
+0.0454722
+0.0460709
+0.0467647
+0.0473432
+0.0479285
+0.0486055
+0.0493705
+0.0502195
+0.051147
+0.0521336
+0.0531921
+0.0543116
+0.0554683
+0.0566122
+0.0577699
+0.0589769
+0.0602394
+0.0615541
+0.0626056
+0.0617786
+0.061019
+0.0603294
+0.0597124
+0.05917
+0.0587044
+0.0583174
+0.0580107
+0.0577854
+0.0576425
+0.0575828
+0.057606
+0.0576966
+0.0578701
+0.0581257
+0.0584351
+0.05882
+0.0592834
+0.0598056
+0.0603744
+0.0610166
+0.0616897
+0.0623382
+0.0630563
+0.0638415
+0.0646897
+0.0655877
+0.0665458
+0.0675607
+0.0686281
+0.0697376
+0.0708974
+0.0721051
+0.0733584
+0.074651
+0.0759464
+0.0772156
+0.0897389
+0.0878143
+0.0859023
+0.084004
+0.0821203
+0.0802521
+0.0784007
+0.0765671
+0.0747528
+0.0729592
+0.0711877
+0.0694402
+0.0677185
+0.0660246
+0.0643606
+0.0627291
+0.0611325
+0.0595736
+0.0580557
+0.0565475
+0.0550801
+0.053662
+0.0522972
+0.0509901
+0.0497451
+0.0485599
+0.0474439
+0.0464047
+0.0454473
+0.0445771
+0.0437993
+0.0431189
+0.0425405
+0.0420684
+0.0417046
+0.0414327
+0.0412755
+0.0412341
+0.0413091
+0.0414997
+0.0418045
+0.0422208
+0.0427311
+0.0431663
+0.043687
+0.0443099
+0.0448657
+0.0453772
+0.0459875
+0.0466927
+0.0474886
+0.0483706
+0.0493231
+0.0503454
+0.0514408
+0.0525741
+0.053696
+0.054839
+0.0560236
+0.0572674
+0.0585668
+0.0599157
+0.061268
+0.0604251
+0.0596483
+0.0589427
+0.058311
+0.0577554
+0.0572783
+0.0568817
+0.0565671
+0.0563361
+0.0561896
+0.0561282
+0.0561455
+0.0562385
+0.0564085
+0.0566543
+0.0569706
+0.0573653
+0.0578404
+0.0583653
+0.058948
+0.0595515
+0.0601434
+0.0608084
+0.0615443
+0.0623446
+0.0631984
+0.0641157
+0.0650939
+0.0661283
+0.0672078
+0.0683404
+0.0695236
+0.0707548
+0.0720305
+0.0733231
+0.0745726
+0.0758648
+0.0889089
+0.0869659
+0.0850349
+0.0831168
+0.0812125
+0.079323
+0.0774493
+0.0755927
+0.0737544
+0.0719358
+0.0701386
+0.0683642
+0.0666147
+0.064892
+0.0631982
+0.0615358
+0.0599075
+0.0582952
+0.0567039
+0.0551536
+0.0536481
+0.0521911
+0.0507868
+0.0494397
+0.0481547
+0.0469365
+0.0457811
+0.0447031
+0.0437085
+0.042803
+0.0419923
+0.0412821
+0.0406777
+0.0401837
+0.0398043
+0.0395217
+0.0393568
+0.0393135
+0.0393921
+0.0395919
+0.0399112
+0.0403426
+0.0408686
+0.0413977
+0.0419402
+0.0424344
+0.0428937
+0.0434284
+0.0440657
+0.0448012
+0.04563
+0.0465473
+0.0475302
+0.0485902
+0.0497045
+0.0508015
+0.0519277
+0.0530868
+0.0543095
+0.0555917
+0.0569267
+0.0583003
+0.0597225
+0.059107
+0.0583277
+0.057606
+0.0569594
+0.0563905
+0.0559018
+0.0554953
+0.0551729
+0.054936
+0.0547857
+0.0547166
+0.0547244
+0.0548116
+0.0549773
+0.0552295
+0.0555538
+0.0559586
+0.0564365
+0.056971
+0.0575008
+0.0580309
+0.0586381
+0.05932
+0.0600634
+0.0608704
+0.0617446
+0.0626832
+0.0636801
+0.0647262
+0.0658285
+0.0669845
+0.0681912
+0.069446
+0.0707382
+0.0719659
+0.0732386
+0.0745539
+0.0881256
+0.0861649
+0.0842156
+0.0822784
+0.0803542
+0.078444
+0.0765488
+0.0746698
+0.0728082
+0.0709654
+0.0691429
+0.0673424
+0.0655656
+0.0638145
+0.0620914
+0.0603906
+0.0586927
+0.0570283
+0.0554006
+0.0538128
+0.0522687
+0.0507721
+0.0493274
+0.0479394
+0.046613
+0.0453537
+0.0441592
+0.0430407
+0.0420067
+0.0410637
+0.040218
+0.0394759
+0.0388433
+0.0383257
+0.0379277
+0.0376384
+0.0374652
+0.0374197
+0.0375023
+0.0377122
+0.0380472
+0.0384892
+0.0390403
+0.0396712
+0.0400826
+0.04049
+0.040939
+0.0414989
+0.0421654
+0.0429334
+0.0437976
+0.0447505
+0.0457701
+0.046864
+0.0479323
+0.049028
+0.0501693
+0.0513681
+0.0526308
+0.0539501
+0.0553108
+0.0567234
+0.0581842
+0.0578284
+0.0570325
+0.0563106
+0.0556569
+0.0550746
+0.0545741
+0.0541576
+0.0538271
+0.0535843
+0.0534294
+0.0533474
+0.0533469
+0.0534274
+0.0535974
+0.0538561
+0.0541887
+0.0546035
+0.0550696
+0.055539
+0.0560102
+0.0565543
+0.0571767
+0.0578582
+0.0586137
+0.0594403
+0.0603353
+0.0612906
+0.0622998
+0.0633686
+0.0644942
+0.0656736
+0.066904
+0.0681554
+0.0693925
+0.0706436
+0.0719396
+0.0732783
+0.0872379
+0.0854126
+0.0834457
+0.0814902
+0.0795469
+0.0776169
+0.075701
+0.0738004
+0.0719163
+0.07005
+0.0682031
+0.0663771
+0.0645737
+0.062795
+0.0610108
+0.0592497
+0.057518
+0.0558187
+0.0541546
+0.0525292
+0.0509461
+0.0494095
+0.0479238
+0.0464939
+0.045125
+0.0438229
+0.0425856
+0.0414246
+0.0403492
+0.0393665
+0.0384835
+0.0377073
+0.0370445
+0.0365014
+0.0360833
+0.0357791
+0.0355969
+0.0355489
+0.0356359
+0.0358567
+0.0362089
+0.0366731
+0.037251
+0.0378385
+0.038178
+0.0385379
+0.0390093
+0.0395966
+0.0402945
+0.0410975
+0.0419995
+0.042983
+0.0440435
+0.0450935
+0.0461526
+0.0472749
+0.0484463
+0.0496866
+0.0509879
+0.0523339
+0.0537355
+0.0551884
+0.0566812
+0.0566052
+0.0557923
+0.0550542
+0.0543886
+0.0537926
+0.05328
+0.0528534
+0.0525147
+0.0522657
+0.0521078
+0.0520257
+0.0520161
+0.0520986
+0.052273
+0.0525318
+0.0528689
+0.0532282
+0.0535668
+0.0539923
+0.0545026
+0.0550792
+0.0557186
+0.0564357
+0.0572111
+0.0580577
+0.0589671
+0.0599353
+0.060967
+0.0620544
+0.063174
+0.0643487
+0.0655755
+0.0668517
+0.0680855
+0.0693602
+0.0706798
+0.0720418
+0.0858397
+0.0844886
+0.0827267
+0.0807538
+0.0787923
+0.0768433
+0.0749077
+0.0729864
+0.0710808
+0.069192
+0.0673215
+0.0654709
+0.0636155
+0.0617802
+0.0599618
+0.0581689
+0.0564041
+0.0546701
+0.0529699
+0.051307
+0.049685
+0.0481081
+0.0465809
+0.0451084
+0.0436962
+0.0423502
+0.0410685
+0.0398634
+0.0387447
+0.0377202
+0.0367978
+0.0359852
+0.0352901
+0.0347195
+0.0342797
+0.0339594
+0.0337673
+0.0337168
+0.0338084
+0.0340411
+0.0344119
+0.0349
+0.0355068
+0.0359046
+0.0362383
+0.0366128
+0.0371087
+0.0377255
+0.0384574
+0.039298
+0.0402404
+0.0412561
+0.0422911
+0.043308
+0.044408
+0.0455477
+0.0467624
+0.0480429
+0.049372
+0.0507608
+0.0522046
+0.0536886
+0.055213
+0.0554394
+0.0546119
+0.0538576
+0.0531742
+0.0525644
+0.0520398
+0.0516029
+0.051256
+0.0510008
+0.0508389
+0.050748
+0.0507382
+0.0508228
+0.0510015
+0.0512266
+0.0513951
+0.0516529
+0.0520018
+0.05244
+0.0529652
+0.0535615
+0.0542188
+0.0549479
+0.0557445
+0.0566146
+0.0575551
+0.0585624
+0.0596132
+0.0606988
+0.0618429
+0.0630424
+0.0642941
+0.065574
+0.0668248
+0.0681231
+0.0694662
+0.0708516
+0.0844485
+0.0831019
+0.0817643
+0.0800705
+0.0780919
+0.076125
+0.0741706
+0.0722297
+0.0703036
+0.0683775
+0.066458
+0.0645557
+0.0626723
+0.0608095
+0.0589692
+0.0571516
+0.0553544
+0.0535865
+0.0518508
+0.0501508
+0.0484901
+0.0468731
+0.0453043
+0.0437889
+0.0423326
+0.0409418
+0.0396146
+0.0383638
+0.0372001
+0.0361318
+0.0351677
+0.0343166
+0.0335869
+0.0329869
+0.0325237
+0.0321859
+0.0319832
+0.0319298
+0.0320266
+0.0322721
+0.032663
+0.0331768
+0.033747
+0.0339775
+0.0343281
+0.0347192
+0.0352418
+0.0358907
+0.0366593
+0.0375401
+0.0385161
+0.0395329
+0.0405005
+0.0415612
+0.0426769
+0.0438616
+0.0451164
+0.0464279
+0.0478018
+0.0492349
+0.0507088
+0.0522282
+0.0537939
+0.0543369
+0.0534931
+0.0527249
+0.0520238
+0.0514004
+0.0508637
+0.0504166
+0.0500615
+0.0498002
+0.0496247
+0.0495308
+0.0495207
+0.0495663
+0.0495786
+0.0496716
+0.0498582
+0.050124
+0.0504834
+0.0509347
+0.0514752
+0.0520848
+0.0527605
+0.0535072
+0.0543249
+0.0552174
+0.0561813
+0.0572128
+0.0582832
+0.059393
+0.0605618
+0.0617861
+0.0630533
+0.0643387
+0.0656131
+0.0669348
+0.0683013
+0.069698
+0.082982
+0.0817244
+0.0803903
+0.0790675
+0.0774472
+0.0754634
+0.0734848
+0.0715011
+0.0695298
+0.067572
+0.0656289
+0.0637019
+0.0617924
+0.0599022
+0.0580332
+0.0561874
+0.0543672
+0.0525718
+0.0508015
+0.0490652
+0.0473665
+0.0457097
+0.0440995
+0.0425412
+0.0410407
+0.0396046
+0.038231
+0.0369334
+0.035723
+0.0346092
+0.0336015
+0.0327096
+0.0319433
+0.0313118
+0.0308234
+0.0304667
+0.0302525
+0.0301961
+0.0302984
+0.0305578
+0.0309702
+0.0315025
+0.031843
+0.0320842
+0.0324496
+0.0328625
+0.0334141
+0.0340979
+0.0349059
+0.0358299
+0.036826
+0.0377386
+0.0387511
+0.0398323
+0.0409822
+0.0422123
+0.043503
+0.0448616
+0.0462821
+0.047744
+0.0492574
+0.0508202
+0.0524224
+0.0533017
+0.0524412
+0.0516594
+0.0509416
+0.0503048
+0.0497563
+0.0492992
+0.0489359
+0.0486659
+0.048477
+0.0483125
+0.0481288
+0.0480444
+0.0480571
+0.048153
+0.048348
+0.048637
+0.0490073
+0.049472
+0.0500284
+0.050657
+0.0513515
+0.0521188
+0.0529579
+0.0538731
+0.0548606
+0.0559165
+0.0570063
+0.0581405
+0.0593339
+0.060573
+0.061864
+0.0631553
+0.064453
+0.0657981
+0.0671877
+0.0685834
+0.0815393
+0.0802662
+0.079028
+0.0777054
+0.0763989
+0.0748152
+0.0728018
+0.0707989
+0.0688075
+0.0668285
+0.0648632
+0.0629127
+0.0609786
+0.0590623
+0.0571658
+0.0552911
+0.0534404
+0.0516163
+0.0498217
+0.048055
+0.0463192
+0.0446236
+0.0429727
+0.041372
+0.0398275
+0.038346
+0.0369255
+0.0355803
+0.0343224
+0.0331615
+0.0321084
+0.0311738
+0.0303688
+0.0297038
+0.0291885
+0.0288104
+0.0285837
+0.028524
+0.0286323
+0.0289066
+0.0293342
+0.0298366
+0.0299777
+0.0302311
+0.0306121
+0.0310494
+0.0316327
+0.0323541
+0.0332046
+0.0341661
+0.035021
+0.0359835
+0.0370276
+0.0381362
+0.0393357
+0.0406017
+0.0419419
+0.0433495
+0.0447972
+0.0463033
+0.0478623
+0.0494608
+0.051098
+0.0523378
+0.0514612
+0.0506642
+0.0499322
+0.0492823
+0.0487223
+0.0482554
+0.0478842
+0.04749
+0.0471342
+0.0468436
+0.0466541
+0.0465671
+0.046583
+0.0466878
+0.046889
+0.047191
+0.0475744
+0.048053
+0.0486256
+0.0492852
+0.0499988
+0.050787
+0.0516477
+0.0525858
+0.0535969
+0.0546634
+0.0557745
+0.0569336
+0.0581519
+0.0594149
+0.0607306
+0.0620266
+0.0633475
+0.0647155
+0.0661085
+0.0675216
+0.0801306
+0.0788347
+0.077579
+0.076362
+0.0750447
+0.0737561
+0.0721788
+0.0701582
+0.068148
+0.0661493
+0.0641632
+0.0621908
+0.0602334
+0.0582927
+0.0563703
+0.0544682
+0.0525885
+0.0507338
+0.0489069
+0.047111
+0.0453499
+0.0436205
+0.0419302
+0.0402881
+0.0387003
+0.0371739
+0.0357069
+0.034314
+0.0330077
+0.0317989
+0.0306991
+0.0297202
+0.0288747
+0.0281745
+0.0276307
+0.0272283
+0.0269884
+0.0269251
+0.0270398
+0.0273301
+0.0277724
+0.0279982
+0.0281576
+0.0284261
+0.028824
+0.029288
+0.0299056
+0.0306677
+0.0315634
+0.0323675
+0.0332625
+0.0342735
+0.0353328
+0.0364929
+0.0377317
+0.0390475
+0.0404386
+0.0418723
+0.0433694
+0.0449234
+0.0465171
+0.0481547
+0.0498348
+0.0514492
+0.0505572
+0.0497457
+0.0489955
+0.0482588
+0.0476089
+0.0469806
+0.0464396
+0.0459967
+0.0456548
+0.0454147
+0.0452277
+0.0451379
+0.0451543
+0.0452768
+0.0454887
+0.0458
+0.0461979
+0.0466906
+0.0472797
+0.0479618
+0.0487071
+0.0495163
+0.0503988
+0.0513596
+0.0523683
+0.0534374
+0.0545689
+0.0557527
+0.0569955
+0.0582919
+0.0596334
+0.0609559
+0.0622994
+0.0636839
+0.06508
+0.0665149
+0.0787143
+0.0774387
+0.0761601
+0.0749236
+0.0736314
+0.0723531
+0.0711088
+0.0695805
+0.0675532
+0.0655364
+0.063531
+0.0615384
+0.0595596
+0.0575962
+0.0556497
+0.0537221
+0.0518154
+0.0499319
+0.0480746
+0.0462464
+0.044451
+0.0426925
+0.0409757
+0.0392965
+0.037667
+0.0360922
+0.0345762
+0.0331358
+0.0317812
+0.0305238
+0.0293762
+0.0283518
+0.0274641
+0.026727
+0.0261531
+0.0257356
+0.0254816
+0.0254146
+0.025536
+0.0258356
+0.0260958
+0.026214
+0.0263926
+0.0266789
+0.027095
+0.0275881
+0.028243
+0.0290487
+0.0297998
+0.0306132
+0.031558
+0.0325827
+0.0336951
+0.0349008
+0.0361869
+0.0375568
+0.0389742
+0.0404598
+0.0420072
+0.0435947
+0.045232
+0.0469145
+0.0486375
+0.0501508
+0.0491746
+0.0482778
+0.0474653
+0.0467414
+0.0460902
+0.0455148
+0.0450181
+0.0445611
+0.0442081
+0.0439615
+0.0438036
+0.0437533
+0.043772
+0.0438984
+0.0441333
+0.0444585
+0.0448831
+0.04539
+0.0459958
+0.0466966
+0.0474813
+0.0483115
+0.0492104
+0.0501556
+0.0511772
+0.05227
+0.0534139
+0.0546196
+0.0558853
+0.0572068
+0.0585767
+0.0599442
+0.0613025
+0.0626965
+0.0641099
+0.0655661
+0.0772044
+0.0759337
+0.0747055
+0.0734854
+0.0722142
+0.070922
+0.0696662
+0.0684445
+0.0670188
+0.0649893
+0.0629688
+0.0609578
+0.0589595
+0.0569754
+0.055007
+0.053056
+0.0511245
+0.0492146
+0.0473291
+0.0454709
+0.0436436
+0.0418512
+0.0400984
+0.0383906
+0.0367214
+0.0351062
+0.0335487
+0.0320621
+0.0306601
+0.0293548
+0.0281596
+0.0270891
+0.0261587
+0.0253837
+0.0247787
+0.0243291
+0.0240602
+0.0239893
+0.0241179
+0.0242446
+0.0243554
+0.0244959
+0.024688
+0.0249989
+0.0254314
+0.0259619
+0.0266567
+0.0273423
+0.0280561
+0.0289186
+0.0299008
+0.0309546
+0.0321192
+0.0333687
+0.0347117
+0.0361093
+0.0375805
+0.0391167
+0.0406984
+0.0423344
+0.0440186
+0.0457457
+0.0475111
+0.0487364
+0.0477505
+0.0468267
+0.0459885
+0.045241
+0.0445887
+0.0440312
+0.0435351
+0.0431338
+0.0428246
+0.04257
+0.04241
+0.042358
+0.0424193
+0.042588
+0.0428301
+0.04318
+0.0436184
+0.0441572
+0.0447801
+0.0455
+0.0463124
+0.0471551
+0.0480409
+0.0490086
+0.0500501
+0.051151
+0.0523193
+0.0535497
+0.0548401
+0.0561862
+0.0575818
+0.0589867
+0.0603666
+0.0617667
+0.0631902
+0.0645809
+0.0756723
+0.0743753
+0.0731211
+0.071874
+0.07067
+0.0694968
+0.0682452
+0.0670106
+0.065807
+0.0644994
+0.0624649
+0.0604413
+0.0584297
+0.0564315
+0.0544449
+0.052473
+0.0505192
+0.0485855
+0.0466746
+0.0447893
+0.042933
+0.0411096
+0.0393238
+0.0375808
+0.0358732
+0.0342179
+0.0326258
+0.0311059
+0.0296587
+0.0283073
+0.0270659
+0.0259503
+0.0249775
+0.0241647
+0.0235145
+0.0230288
+0.0227446
+0.0226696
+0.0226186
+0.0225735
+0.0226915
+0.0228587
+0.0230476
+0.0233807
+0.0238426
+0.0244156
+0.0250157
+0.0256186
+0.0263791
+0.0272947
+0.028288
+0.0293997
+0.0306047
+0.0319136
+0.0332862
+0.0347388
+0.0362597
+0.037834
+0.0394671
+0.0411521
+0.0428828
+0.0446539
+0.0464165
+0.0473618
+0.0463664
+0.0454346
+0.0445706
+0.0437989
+0.0431247
+0.0425483
+0.0420607
+0.0416827
+0.0413798
+0.041184
+0.041086
+0.0410323
+0.0410956
+0.0412752
+0.0415637
+0.0419425
+0.0424115
+0.0429703
+0.0436209
+0.0443597
+0.0451928
+0.0460376
+0.0469445
+0.0479278
+0.0489784
+0.0501028
+0.051295
+0.0525494
+0.0538637
+0.0552337
+0.0566529
+0.0580961
+0.0594187
+0.0607377
+0.0621061
+0.0635205
+0.0741732
+0.0728496
+0.0715686
+0.070294
+0.0690624
+0.0678791
+0.0667149
+0.0655496
+0.0643586
+0.0631695
+0.0619817
+0.0599943
+0.0579672
+0.0559524
+0.0539514
+0.0519657
+0.0499971
+0.0480478
+0.046115
+0.0442058
+0.042324
+0.0404732
+0.0386579
+0.0368833
+0.0351413
+0.0334498
+0.0318193
+0.0302595
+0.0287822
+0.0273952
+0.0261105
+0.0249523
+0.0239389
+0.0230869
+0.0223785
+0.0218676
+0.0215303
+0.0211898
+0.0210454
+0.0209983
+0.0211239
+0.0213211
+0.0215055
+0.0218625
+0.0222508
+0.0227265
+0.023336
+0.0239713
+0.0247824
+0.0257183
+0.0267575
+0.027911
+0.0291763
+0.0305165
+0.0319449
+0.0334457
+0.0350095
+0.0366375
+0.0383194
+0.0400465
+0.0417636
+0.0434924
+0.0452441
+0.04603
+0.0450054
+0.044066
+0.0432008
+0.042403
+0.041705
+0.0411121
+0.0406238
+0.0402323
+0.0399572
+0.0397827
+0.0396999
+0.039738
+0.0398484
+0.0400336
+0.0403167
+0.0407133
+0.0412226
+0.0418223
+0.0425145
+0.0432932
+0.0441532
+0.0449991
+0.0459166
+0.04691
+0.0479828
+0.04913
+0.0503453
+0.0516228
+0.0529601
+0.0543528
+0.0557196
+0.0569685
+0.0582689
+0.0596055
+0.0609578
+0.0623474
+0.0726854
+0.0713585
+0.0700501
+0.0687474
+0.0674876
+0.0662763
+0.0651161
+0.0639615
+0.0628218
+0.0616898
+0.0605243
+0.0593745
+0.0575843
+0.0555557
+0.0535399
+0.0515383
+0.0495528
+0.0475852
+0.045638
+0.0437138
+0.0418158
+0.0399418
+0.0381009
+0.0362989
+0.034533
+0.0328102
+0.0311462
+0.029551
+0.0280363
+0.0266134
+0.025289
+0.0240913
+0.0230401
+0.0221362
+0.0213964
+0.0206792
+0.0201009
+0.0197357
+0.0195867
+0.019542
+0.0196757
+0.0198962
+0.0200843
+0.0203016
+0.02059
+0.0211032
+0.0217391
+0.0224173
+0.0232776
+0.0242236
+0.0253099
+0.0265134
+0.0277993
+0.0291931
+0.0306799
+0.0322266
+0.0338394
+0.0355142
+0.0371739
+0.0388725
+0.0405916
+0.0423499
+0.0441469
+0.0447658
+0.0437116
+0.0427438
+0.0418683
+0.0410712
+0.0403503
+0.0397371
+0.0392369
+0.0388509
+0.0385421
+0.0383559
+0.0382944
+0.038358
+0.038539
+0.0388023
+0.0391281
+0.0395601
+0.040085
+0.0407202
+0.0414481
+0.0422538
+0.04315
+0.0440316
+0.04496
+0.045974
+0.0470682
+0.0482372
+0.0494744
+0.0507738
+0.0520676
+0.053233
+0.0544463
+0.0557103
+0.0570091
+0.0583283
+0.059694
+0.0610912
+0.0711991
+0.0698583
+0.0685214
+0.0672273
+0.065948
+0.0647079
+0.0635191
+0.0623846
+0.0612359
+0.0601243
+0.0590449
+0.0579158
+0.0567977
+0.0552431
+0.0532154
+0.0512012
+0.049202
+0.0472198
+0.0452569
+0.0433158
+0.0413996
+0.0395058
+0.0376436
+0.0358186
+0.0340367
+0.0323047
+0.0306154
+0.028991
+0.0274454
+0.0259827
+0.0246203
+0.0233752
+0.0222766
+0.0211943
+0.0202121
+0.0194132
+0.0188186
+0.018428
+0.0182736
+0.0182332
+0.0183752
+0.0186105
+0.0186101
+0.0187045
+0.0190172
+0.0195717
+0.0202509
+0.0209772
+0.0218268
+0.0228321
+0.0239334
+0.0251605
+0.0265121
+0.0279662
+0.0294899
+0.0310932
+0.0326739
+0.0343156
+0.0360045
+0.0377222
+0.0394867
+0.0412921
+0.0431332
+0.0435104
+0.0424687
+0.0414816
+0.040556
+0.0397213
+0.0389883
+0.0383569
+0.0378399
+0.0374441
+0.0371535
+0.0369603
+0.0368964
+0.0369625
+0.0371578
+0.0374804
+0.0379251
+0.0384268
+0.0390048
+0.0396731
+0.0404337
+0.0412841
+0.0422073
+0.0431445
+0.0440915
+0.0451251
+0.0462364
+0.047348
+0.0485331
+0.0496874
+0.0508055
+0.0519785
+0.053194
+0.054448
+0.0557447
+0.0570725
+0.0584472
+0.0598602
+0.0696949
+0.0683748
+0.0670294
+0.065706
+0.0644299
+0.0631765
+0.0619584
+0.0607858
+0.0596636
+0.0585475
+0.0574646
+0.0564256
+0.0553579
+0.0542755
+0.0529796
+0.050956
+0.0489469
+0.0469539
+0.0449794
+0.0430257
+0.041096
+0.0391876
+0.0373095
+0.0354673
+0.0336669
+0.0319153
+0.030221
+0.0285715
+0.0269888
+0.0254962
+0.0241063
+0.0226973
+0.0213711
+0.020185
+0.0191516
+0.0182997
+0.0175219
+0.0169928
+0.0167211
+0.0166935
+0.0169102
+0.0171874
+0.0171303
+0.0172328
+0.0175717
+0.0181703
+0.0188999
+0.0196079
+0.0204892
+0.0214899
+0.0226384
+0.023932
+0.0253377
+0.0268137
+0.0282977
+0.0298671
+0.0315027
+0.0331724
+0.0348919
+0.0366618
+0.038475
+0.0403256
+0.0422089
+0.0422803
+0.0412077
+0.0402114
+0.0392815
+0.0384269
+0.0376687
+0.0370247
+0.0364971
+0.0360866
+0.0357984
+0.035624
+0.0355785
+0.035647
+0.0358495
+0.0361838
+0.0366358
+0.0371968
+0.0378763
+0.038659
+0.0394602
+0.0403443
+0.0413258
+0.042183
+0.0430753
+0.0440321
+0.0450704
+0.0461894
+0.0473762
+0.0484486
+0.0495619
+0.0507149
+0.0519243
+0.0531964
+0.0544956
+0.0558401
+0.0572091
+0.0586281
+0.0682165
+0.0668743
+0.0655595
+0.0642152
+0.0628915
+0.0616172
+0.0603955
+0.0592184
+0.0580695
+0.056975
+0.0559014
+0.0548499
+0.0538493
+0.0528285
+0.051768
+0.0506508
+0.0486864
+0.0467362
+0.0448068
+0.0428458
+0.0409077
+0.0389901
+0.037102
+0.0352489
+0.0334367
+0.0316724
+0.0299496
+0.0282496
+0.0265616
+0.0249464
+0.0233736
+0.0219034
+0.0205551
+0.019301
+0.018081
+0.0170138
+0.0161743
+0.0155995
+0.0153113
+0.015281
+0.0154584
+0.0156855
+0.0158163
+0.0159273
+0.0162934
+0.0169372
+0.0176559
+0.0183703
+0.0192355
+0.0202766
+0.0214892
+0.0227729
+0.0241084
+0.0255618
+0.0271145
+0.0287374
+0.0303921
+0.0321111
+0.0338846
+0.0357044
+0.0375638
+0.0394573
+0.0413801
+0.0410246
+0.0399559
+0.0389406
+0.0380153
+0.0371854
+0.0364331
+0.0357669
+0.0352246
+0.0347999
+0.0345085
+0.0343419
+0.0343002
+0.0343983
+0.0346305
+0.0349764
+0.0354352
+0.0360149
+0.0367163
+0.0375326
+0.0384565
+0.0394763
+0.040204
+0.0409888
+0.0418736
+0.0428523
+0.0439158
+0.0450223
+0.0461344
+0.0471725
+0.0482719
+0.049444
+0.0506837
+0.0519578
+0.0532465
+0.0545841
+0.055948
+0.0573514
+0.0667704
+0.0654127
+0.064068
+0.0627343
+0.0613805
+0.0600741
+0.0588204
+0.0576227
+0.0564819
+0.055377
+0.0543205
+0.0533035
+0.0522859
+0.0513308
+0.0503289
+0.049312
+0.0480925
+0.046147
+0.0442112
+0.0422817
+0.0403787
+0.0385064
+0.0366694
+0.0348646
+0.0330589
+0.031281
+0.0294988
+0.0277139
+0.0259912
+0.0243438
+0.0227765
+0.0212954
+0.0197465
+0.0183064
+0.0170206
+0.0159244
+0.0150245
+0.014404
+0.0140992
+0.0139009
+0.013812
+0.014068
+0.0145331
+0.0148319
+0.0152244
+0.0159098
+0.016555
+0.0172074
+0.0180938
+0.0190986
+0.0202213
+0.021509
+0.0229183
+0.0244426
+0.0260367
+0.0276795
+0.0293939
+0.031168
+0.0329921
+0.0348586
+0.0367608
+0.0386936
+0.0406525
+0.0397794
+0.0386843
+0.0376848
+0.0367452
+0.0358971
+0.0351618
+0.0345387
+0.0340414
+0.0336069
+0.033305
+0.0331455
+0.0331119
+0.0332135
+0.0334585
+0.0338374
+0.0343314
+0.0349305
+0.0356532
+0.0364933
+0.0373712
+0.038279
+0.0390186
+0.0398039
+0.0406752
+0.0416376
+0.0426908
+0.0438282
+0.0448505
+0.045901
+0.0470302
+0.0482271
+0.0494377
+0.0506853
+0.0519732
+0.0532985
+0.0546642
+0.0560719
+0.0653622
+0.0639809
+0.0626175
+0.0612897
+0.0599098
+0.0585724
+0.0572858
+0.0560553
+0.0548847
+0.0537708
+0.0527001
+0.0516817
+0.0507375
+0.0497828
+0.048879
+0.0478836
+0.0469319
+0.0456011
+0.0436545
+0.0417321
+0.0398359
+0.0379368
+0.0360707
+0.0342432
+0.0324607
+0.0306732
+0.0289377
+0.0272514
+0.025569
+0.0239216
+0.0223246
+0.0206522
+0.0190294
+0.0175305
+0.0161832
+0.0150308
+0.0141224
+0.0134611
+0.0128716
+0.0124356
+0.0123361
+0.012622
+0.0131251
+0.0138142
+0.0141681
+0.0147173
+0.0151881
+0.0158967
+0.016817
+0.0178435
+0.0190402
+0.0203889
+0.0218701
+0.0234345
+0.0250564
+0.0267595
+0.0285292
+0.0303539
+0.0322242
+0.0341326
+0.0360732
+0.0380409
+0.0398258
+0.038609
+0.0374807
+0.0364494
+0.0355233
+0.0346878
+0.0339263
+0.0332802
+0.032768
+0.0323873
+0.0321318
+0.0320244
+0.032018
+0.032123
+0.0323762
+0.0327742
+0.0332887
+0.0339324
+0.0346876
+0.0354123
+0.0362222
+0.037062
+0.0377622
+0.0385732
+0.0394712
+0.0404622
+0.0415452
+0.0425887
+0.0436075
+0.0446702
+0.0457756
+0.0469238
+0.0481309
+0.0493879
+0.0506822
+0.0520145
+0.0533959
+0.0548094
+0.0638562
+0.0625647
+0.0611987
+0.0598522
+0.0584824
+0.0571137
+0.055795
+0.0545309
+0.0533268
+0.052187
+0.0511038
+0.0500717
+0.0490965
+0.0482013
+0.0473501
+0.0464465
+0.0454612
+0.0444591
+0.0431792
+0.0412401
+0.039326
+0.0374378
+0.0355735
+0.0337191
+0.0319072
+0.0301458
+0.0284252
+0.0267234
+0.0250975
+0.0235452
+0.0219613
+0.0202066
+0.0185448
+0.0170033
+0.0156105
+0.0144124
+0.0134632
+0.0125025
+0.0116761
+0.0111969
+0.0110863
+0.0114006
+0.0119534
+0.0126691
+0.0129925
+0.0135467
+0.0140316
+0.0147627
+0.0156914
+0.0167812
+0.0180288
+0.0194431
+0.0209578
+0.0225542
+0.0242351
+0.025992
+0.0278106
+0.0296795
+0.0315897
+0.0335343
+0.0355075
+0.0375049
+0.038748
+0.0375155
+0.0363541
+0.0352898
+0.0343325
+0.0334913
+0.0327752
+0.0321219
+0.0315909
+0.0311959
+0.0309305
+0.0308189
+0.0308628
+0.0310615
+0.0313926
+0.0318029
+0.0323466
+0.0329634
+0.033555
+0.0342302
+0.0350291
+0.0358425
+0.036594
+0.0374269
+0.0383233
+0.0393193
+0.0403945
+0.041357
+0.0423283
+0.0433543
+0.0444425
+0.0455999
+0.0468222
+0.0480942
+0.0494016
+0.0507432
+0.0521358
+0.0535794
+0.0623172
+0.061069
+0.0597647
+0.0584081
+0.0570581
+0.0556869
+0.0543504
+0.0530531
+0.0518148
+0.0506409
+0.0495346
+0.048488
+0.0474999
+0.046574
+0.0457343
+0.044934
+0.0438805
+0.0428696
+0.0419152
+0.0408412
+0.0389089
+0.0370054
+0.0351354
+0.0332858
+0.031449
+0.0296604
+0.027929
+0.0262664
+0.0246863
+0.0231292
+0.0216065
+0.0199546
+0.018286
+0.0167208
+0.0153098
+0.0140994
+0.0128166
+0.011647
+0.0107633
+0.0102556
+0.0101348
+0.010416
+0.0108263
+0.0113712
+0.0120558
+0.0124691
+0.0130835
+0.0138499
+0.0147608
+0.0159159
+0.0172128
+0.0186168
+0.0201616
+0.0218172
+0.0235603
+0.0253729
+0.0272411
+0.0291543
+0.031097
+0.0330627
+0.0350543
+0.0370684
+0.0376432
+0.0364253
+0.0352799
+0.034231
+0.0332436
+0.0323741
+0.0316327
+0.0309943
+0.0304741
+0.0301048
+0.0298414
+0.0297257
+0.0297712
+0.0299771
+0.0303402
+0.030855
+0.0312899
+0.0317981
+0.0323915
+0.0330904
+0.0338439
+0.0346569
+0.0353882
+0.0362263
+0.0371411
+0.038144
+0.039161
+0.0400333
+0.0409996
+0.0420248
+0.0431342
+0.0442985
+0.0455356
+0.0468198
+0.0481337
+0.0495096
+0.0509179
+0.0523348
+0.0608139
+0.0595379
+0.0583029
+0.0569197
+0.05558
+0.0542726
+0.0529251
+0.0516175
+0.0503495
+0.0491438
+0.0480047
+0.0469337
+0.0459323
+0.0449946
+0.0441249
+0.0433485
+0.0423464
+0.0412979
+0.0403413
+0.0394425
+0.0386054
+0.0366769
+0.0347794
+0.0329183
+0.0311002
+0.0292865
+0.0274682
+0.0257047
+0.0240116
+0.022405
+0.0208728
+0.0194317
+0.0180667
+0.0166772
+0.0152686
+0.013764
+0.0123308
+0.0111196
+0.0101904
+0.0096156
+0.0090868
+0.00907075
+0.00945483
+0.0101127
+0.0110843
+0.0116633
+0.0123125
+0.0131297
+0.0140854
+0.0152457
+0.0165269
+0.0179845
+0.0195792
+0.0212802
+0.0230639
+0.024912
+0.0268063
+0.0287335
+0.0306933
+0.0326825
+0.0346959
+0.0367297
+0.0365999
+0.0353705
+0.0342183
+0.033149
+0.0321857
+0.0313248
+0.0305794
+0.0299565
+0.029428
+0.0290454
+0.0288246
+0.0287275
+0.0287745
+0.0289875
+0.0293628
+0.0297581
+0.0301651
+0.0306347
+0.0312236
+0.0318607
+0.0326327
+0.0334979
+0.0342205
+0.0350479
+0.0359758
+0.0370103
+0.0378526
+0.0387183
+0.0396741
+0.0407213
+0.0418382
+0.0430346
+0.0443037
+0.0455848
+0.0469098
+0.0482568
+0.049648
+0.0510362
+0.0592789
+0.0579972
+0.0567712
+0.0554648
+0.0541017
+0.0527822
+0.0515207
+0.0502003
+0.0489226
+0.0476836
+0.0465147
+0.0454206
+0.0443966
+0.0434472
+0.0425673
+0.041762
+0.0407787
+0.0397799
+0.0387858
+0.0378925
+0.0370638
+0.0363415
+0.0345372
+0.0325954
+0.0306871
+0.0288191
+0.0269886
+0.0252035
+0.0234871
+0.0218524
+0.0203113
+0.0188563
+0.0175367
+0.01632
+0.0152075
+0.0136082
+0.0121566
+0.0108994
+0.00955321
+0.00854169
+0.00794264
+0.00792427
+0.0084143
+0.00919444
+0.010187
+0.0111513
+0.0117966
+0.0126226
+0.0135891
+0.0147529
+0.0161113
+0.0175951
+0.0192122
+0.0209339
+0.0227365
+0.0246021
+0.0265175
+0.0284642
+0.0304413
+0.032446
+0.0344732
+0.0365194
+0.0355906
+0.0343421
+0.0331834
+0.0321017
+0.0311358
+0.0302977
+0.0295518
+0.0289068
+0.0284164
+0.0280873
+0.0278718
+0.0277813
+0.0278634
+0.0281164
+0.0283343
+0.0286013
+0.0289618
+0.0294738
+0.0299885
+0.0306515
+0.0314534
+0.0323333
+0.0330814
+0.0338693
+0.0347745
+0.0357712
+0.0365445
+0.0374232
+0.0384069
+0.0394677
+0.0406157
+0.0418444
+0.0430807
+0.044328
+0.0456441
+0.0469841
+0.0483519
+0.0497569
+0.0577861
+0.0564706
+0.0552108
+0.0539788
+0.0526561
+0.0513119
+0.0500198
+0.0487843
+0.0475157
+0.0462783
+0.045073
+0.0439439
+0.0428951
+0.0419341
+0.0410456
+0.0401651
+0.039149
+0.0382083
+0.0372942
+0.0363642
+0.0355451
+0.0347985
+0.0341591
+0.0323057
+0.0303793
+0.028491
+0.0266491
+0.0248627
+0.0231236
+0.0214646
+0.0199032
+0.0184582
+0.0171652
+0.0160001
+0.0148977
+0.0136271
+0.0120104
+0.0103645
+0.00893813
+0.00785237
+0.00727199
+0.00724367
+0.00774208
+0.00866107
+0.00970828
+0.0108716
+0.0115461
+0.0123644
+0.013307
+0.0145176
+0.0159033
+0.0174294
+0.0190606
+0.0207948
+0.0226085
+0.0244838
+0.0264078
+0.028362
+0.0303458
+0.0323564
+0.0343889
+0.035985
+0.0346288
+0.0333615
+0.0321935
+0.0310962
+0.0300976
+0.0292293
+0.0285021
+0.0279141
+0.027442
+0.0270904
+0.0268881
+0.0268636
+0.0270172
+0.0269794
+0.0271096
+0.0273691
+0.0277434
+0.0282369
+0.0287804
+0.0294703
+0.0303033
+0.0311101
+0.0317936
+0.0326075
+0.0335201
+0.0344969
+0.0352907
+0.0361947
+0.037186
+0.0382768
+0.0394391
+0.0406102
+0.0418153
+0.0430713
+0.0443729
+0.0457182
+0.0470969
+0.0485274
+0.0563197
+0.054989
+0.0536938
+0.05242
+0.0511939
+0.0498817
+0.0485594
+0.047299
+0.0460937
+0.0448844
+0.0436887
+0.0425279
+0.0414449
+0.0404493
+0.0395148
+0.0385824
+0.0375477
+0.0365901
+0.0357216
+0.0348964
+0.0340525
+0.0333207
+0.03266
+0.0321182
+0.0302052
+0.0283165
+0.0264743
+0.024678
+0.0229343
+0.0212664
+0.0197011
+0.0182582
+0.0169484
+0.0157858
+0.0146949
+0.013508
+0.0118976
+0.0102336
+0.00878913
+0.00769487
+0.00703649
+0.00701575
+0.00754397
+0.00840937
+0.00932572
+0.0103505
+0.0116281
+0.0123784
+0.0133796
+0.0145841
+0.0159641
+0.0175017
+0.0191418
+0.0208721
+0.0226822
+0.0245544
+0.0264754
+0.0284288
+0.0304083
+0.032415
+0.034444
+0.0351308
+0.0337507
+0.0324495
+0.0312475
+0.0301568
+0.0291561
+0.028259
+0.0275074
+0.0269096
+0.0264781
+0.0261603
+0.0260222
+0.0258567
+0.0258011
+0.0257856
+0.0258857
+0.0261693
+0.0266056
+0.0270976
+0.0276635
+0.0283806
+0.0292352
+0.0298009
+0.0305135
+0.0313189
+0.0322343
+0.0332458
+0.0341095
+0.0350181
+0.0360177
+0.0370931
+0.038187
+0.0393514
+0.0405632
+0.0418249
+0.0431405
+0.0444937
+0.0459008
+0.0473675
+0.0548458
+0.0534927
+0.0521966
+0.0508969
+0.0496447
+0.048447
+0.0471475
+0.0458512
+0.0446247
+0.0434574
+0.0422889
+0.0411153
+0.0400109
+0.0389786
+0.038014
+0.0370403
+0.0359745
+0.0349949
+0.0341095
+0.0333342
+0.0325702
+0.0318745
+0.0312427
+0.0306772
+0.0299443
+0.0282578
+0.0264116
+0.0246218
+0.0229019
+0.0212629
+0.0196964
+0.0182517
+0.0169497
+0.0157139
+0.0143978
+0.0132452
+0.0120942
+0.0105134
+0.00912102
+0.00805119
+0.0074116
+0.00730998
+0.00737531
+0.00798045
+0.00883844
+0.00978786
+0.0110497
+0.012235
+0.0136306
+0.0148604
+0.0162449
+0.017776
+0.0194093
+0.0211436
+0.022935
+0.0247881
+0.0266924
+0.0286376
+0.030616
+0.0326201
+0.0346379
+0.0340182
+0.0327334
+0.0315371
+0.0304262
+0.029305
+0.0282934
+0.0274024
+0.0266448
+0.0260318
+0.0255921
+0.0251467
+0.0248169
+0.0246749
+0.0245534
+0.0245698
+0.0246748
+0.0249722
+0.0254187
+0.0259602
+0.0265758
+0.0273214
+0.0280098
+0.0285413
+0.0292213
+0.030046
+0.0309775
+0.0320288
+0.032949
+0.0338393
+0.0348142
+0.0358413
+0.0369447
+0.0381253
+0.039335
+0.0406131
+0.0419578
+0.0433365
+0.04478
+0.046279
+0.0534119
+0.0520215
+0.0506878
+0.0494152
+0.048136
+0.0469094
+0.0457258
+0.0444612
+0.0431953
+0.0420056
+0.040886
+0.0397175
+0.038581
+0.0375202
+0.0365489
+0.0355298
+0.0344622
+0.0334495
+0.0325323
+0.0317281
+0.031056
+0.0303821
+0.0298461
+0.0292705
+0.0284495
+0.0276785
+0.0265205
+0.0247358
+0.0230212
+0.0213938
+0.0198424
+0.0183912
+0.0169932
+0.015537
+0.0142281
+0.0131297
+0.0122601
+0.0109943
+0.00984861
+0.00882614
+0.00792546
+0.00741486
+0.00741668
+0.00772045
+0.00822747
+0.00923988
+0.0105817
+0.0120348
+0.0134292
+0.014944
+0.0164788
+0.0181178
+0.0198635
+0.0215711
+0.0233504
+0.0251917
+0.027075
+0.0289939
+0.030916
+0.0327155
+0.0341479
+0.0327959
+0.0315382
+0.0303791
+0.0292506
+0.0282472
+0.0273826
+0.0266253
+0.0257866
+0.0250157
+0.0243689
+0.0239061
+0.023638
+0.0233577
+0.0232559
+0.0232802
+0.0233915
+0.0237056
+0.0242146
+0.0247666
+0.0254498
+0.0262442
+0.0267512
+0.0273004
+0.0280106
+0.028864
+0.0298289
+0.0309192
+0.0317236
+0.0325898
+0.033552
+0.0345974
+0.0357419
+0.0369373
+0.0381678
+0.0394793
+0.0408391
+0.0422613
+0.0437314
+0.0452523
+0.0519084
+0.0506024
+0.0492302
+0.0479189
+0.0466712
+0.0454141
+0.0442103
+0.0430235
+0.0418192
+0.0406022
+0.0394559
+0.0383516
+0.0371965
+0.0361224
+0.0350847
+0.0339503
+0.0329117
+0.0319162
+0.0310158
+0.0301854
+0.0294782
+0.02892
+0.0283641
+0.0278389
+0.0269908
+0.026209
+0.0254875
+0.0248409
+0.0231987
+0.021562
+0.0200077
+0.0185704
+0.0170527
+0.0156022
+0.0143408
+0.0132816
+0.0124498
+0.0114204
+0.0102865
+0.00910213
+0.00821906
+0.00785447
+0.00749938
+0.00752208
+0.00806671
+0.00909776
+0.0103545
+0.0115751
+0.0129709
+0.0145416
+0.0161457
+0.0178143
+0.0195445
+0.0212241
+0.0229899
+0.0248231
+0.0267075
+0.0285445
+0.0303265
+0.032159
+0.0330759
+0.0316782
+0.0303742
+0.0291767
+0.0280992
+0.0271091
+0.0262072
+0.0254623
+0.0246844
+0.0238991
+0.0232605
+0.0227381
+0.0223727
+0.022135
+0.0220485
+0.0220361
+0.0221922
+0.022523
+0.0230581
+0.0236383
+0.0243422
+0.0251511
+0.0256006
+0.0261739
+0.0269135
+0.0277772
+0.0287784
+0.029681
+0.0304499
+0.031352
+0.0323238
+0.0333989
+0.0345337
+0.0357485
+0.0369887
+0.0383054
+0.0396993
+0.0411627
+0.042654
+0.044145
+0.0504013
+0.0490988
+0.0478071
+0.0464778
+0.0451929
+0.0439566
+0.042731
+0.0415646
+0.040378
+0.0392355
+0.0380846
+0.0369901
+0.0358612
+0.0347361
+0.0336266
+0.032442
+0.0313534
+0.030384
+0.0294761
+0.0286701
+0.027983
+0.0273944
+0.0269711
+0.0264188
+0.0255735
+0.0247642
+0.0240561
+0.0234068
+0.0228714
+0.0218342
+0.0202904
+0.0187675
+0.0172199
+0.015825
+0.0146264
+0.0136025
+0.0127162
+0.0120239
+0.0108763
+0.00976368
+0.00904039
+0.00837173
+0.00782939
+0.00785114
+0.00841792
+0.00911785
+0.0100565
+0.0113096
+0.0128056
+0.0144042
+0.0160722
+0.0176312
+0.0192565
+0.0209552
+0.0227383
+0.0245873
+0.0263244
+0.0280764
+0.0298863
+0.0317443
+0.0321177
+0.0306763
+0.0293279
+0.0280858
+0.0269648
+0.0259804
+0.0251488
+0.0243717
+0.0236401
+0.0227931
+0.0220979
+0.0215427
+0.0211699
+0.0209386
+0.0208477
+0.020811
+0.0209797
+0.0213728
+0.0219783
+0.0225416
+0.0232643
+0.0241232
+0.0245917
+0.0251876
+0.025924
+0.0268157
+0.0276991
+0.028438
+0.0292388
+0.0301349
+0.0311242
+0.0322111
+0.033365
+0.0345895
+0.0358604
+0.037217
+0.038646
+0.0400636
+0.041529
+0.0430374
+0.0488911
+0.0475667
+0.0462849
+0.0450259
+0.0437717
+0.0425178
+0.041296
+0.0401076
+0.0389527
+0.0378001
+0.036719
+0.0356513
+0.0345414
+0.0333718
+0.0321899
+0.0310104
+0.0298728
+0.0288537
+0.0279518
+0.0271704
+0.0264757
+0.0259357
+0.0254898
+0.0250451
+0.024121
+0.0233366
+0.0226758
+0.0220153
+0.0214875
+0.0210292
+0.0207401
+0.0191055
+0.017585
+0.0162039
+0.0150158
+0.0139989
+0.0131264
+0.0124643
+0.0117411
+0.0107941
+0.00985266
+0.00915854
+0.00863839
+0.0086581
+0.00875787
+0.00922499
+0.0101537
+0.011429
+0.0129187
+0.0144942
+0.0159559
+0.0175387
+0.0192031
+0.0209062
+0.0226729
+0.0242972
+0.0260013
+0.0277737
+0.0296021
+0.0314768
+0.0312838
+0.0298022
+0.0284123
+0.0271283
+0.0259659
+0.0249422
+0.0240748
+0.023287
+0.0224707
+0.0217391
+0.0210269
+0.0204371
+0.0200703
+0.0197843
+0.0196972
+0.0196796
+0.0199044
+0.0203207
+0.0208384
+0.0214844
+0.0222835
+0.0232201
+0.0237128
+0.0243256
+0.025083
+0.0258691
+0.0264903
+0.0272681
+0.0280947
+0.0289904
+0.0299715
+0.0310555
+0.032243
+0.033474
+0.0347758
+0.036139
+0.0375094
+0.0389464
+0.0404325
+0.0419803
+0.047408
+0.0460581
+0.044757
+0.0435092
+0.0422888
+0.0410982
+0.039904
+0.0387006
+0.0375564
+0.0364071
+0.0353025
+0.034282
+0.0333055
+0.0320979
+0.0307766
+0.0295587
+0.0284404
+0.0274039
+0.0264537
+0.0256399
+0.0249922
+0.0244626
+0.0240701
+0.0236353
+0.0227121
+0.0219258
+0.0212902
+0.0207216
+0.020222
+0.0197483
+0.0194861
+0.0193519
+0.0181602
+0.0168257
+0.015656
+0.0146651
+0.0138062
+0.013156
+0.0127898
+0.011589
+0.0106726
+0.0101308
+0.00976992
+0.00930122
+0.00933661
+0.00980869
+0.0106863
+0.0119056
+0.0130984
+0.0145146
+0.0160756
+0.0176744
+0.0193193
+0.0208733
+0.0224985
+0.0241463
+0.0258604
+0.0276418
+0.0294784
+0.0313409
+0.0305667
+0.0290485
+0.0276207
+0.0262981
+0.0250973
+0.0240114
+0.0229275
+0.0219232
+0.0210488
+0.0203605
+0.0197603
+0.0193129
+0.0189129
+0.01864
+0.0184365
+0.0184178
+0.0186581
+0.0190531
+0.0196274
+0.0204094
+0.0212142
+0.0221609
+0.0229652
+0.0235632
+0.0242977
+0.0247399
+0.0253515
+0.0260786
+0.0269038
+0.0277971
+0.0287873
+0.0298775
+0.0310394
+0.0322908
+0.0336383
+0.034992
+0.0364018
+0.0378519
+0.0393518
+0.0409006
+0.0459808
+0.0445877
+0.0432608
+0.041988
+0.0407799
+0.0396025
+0.0384598
+0.0373135
+0.0361656
+0.0350782
+0.0339535
+0.0329065
+0.0319598
+0.0308363
+0.0294585
+0.0281838
+0.0270086
+0.0259601
+0.0250369
+0.024197
+0.0235096
+0.023011
+0.0226564
+0.0222637
+0.0213261
+0.0205654
+0.0199446
+0.0194226
+0.0189696
+0.0185951
+0.0182881
+0.0181636
+0.0181571
+0.0176545
+0.0165155
+0.015558
+0.0147322
+0.0140967
+0.0137167
+0.0126244
+0.0118362
+0.0110385
+0.0105442
+0.0102119
+0.0102441
+0.010729
+0.0112978
+0.0122314
+0.0133954
+0.0147408
+0.0161458
+0.0176866
+0.0191852
+0.0207946
+0.0224377
+0.0241623
+0.0259046
+0.0276832
+0.0294892
+0.0306069
+0.0296093
+0.028095
+0.0266264
+0.0252518
+0.0239947
+0.0227609
+0.0216206
+0.0205795
+0.0196821
+0.0189662
+0.0184065
+0.0179287
+0.0174745
+0.0172356
+0.0171983
+0.0171783
+0.0174357
+0.017819
+0.0184408
+0.0192922
+0.0201194
+0.0210513
+0.0220845
+0.0228188
+0.0231347
+0.0235849
+0.0242102
+0.0248534
+0.0256581
+0.0265676
+0.0275884
+0.0287129
+0.0299195
+0.0312155
+0.032569
+0.0338838
+0.0352849
+0.0367633
+0.0382675
+0.0398098
+0.0445917
+0.0431714
+0.0417995
+0.0404997
+0.0392626
+0.0381041
+0.0369531
+0.0358582
+0.0347552
+0.0336488
+0.0326284
+0.0316132
+0.0306367
+0.0296745
+0.0282401
+0.0269077
+0.0256841
+0.0245791
+0.0236261
+0.0228132
+0.0221332
+0.0215974
+0.0212642
+0.0208922
+0.0199965
+0.019197
+0.0186223
+0.0181895
+0.0177138
+0.0173995
+0.0172205
+0.0170998
+0.017103
+0.0170603
+0.0172203
+0.0166573
+0.0158211
+0.0151996
+0.0148553
+0.0137478
+0.0127218
+0.0119591
+0.0115656
+0.0113862
+0.011323
+0.0114522
+0.0119826
+0.012869
+0.0138445
+0.0150156
+0.0163747
+0.0177111
+0.0192047
+0.0208221
+0.0225365
+0.0242927
+0.0260765
+0.0278599
+0.0284162
+0.0284189
+0.0284016
+0.0269058
+0.0254877
+0.0241541
+0.0228033
+0.0215453
+0.0203455
+0.0192785
+0.0183632
+0.0176511
+0.0171058
+0.0165694
+0.0161217
+0.0159065
+0.0159446
+0.0161009
+0.0163468
+0.0167654
+0.0174048
+0.018152
+0.0189709
+0.0199558
+0.021062
+0.0217009
+0.022034
+0.0224466
+0.0229981
+0.0236704
+0.0244645
+0.0254009
+0.0264331
+0.0275682
+0.028818
+0.0301302
+0.0313934
+0.0327546
+0.034202
+0.0356741
+0.0371949
+0.0387799
+0.0431753
+0.0417997
+0.0404042
+0.039058
+0.037791
+0.0365895
+0.0354551
+0.0343125
+0.033275
+0.0322097
+0.031178
+0.030246
+0.02934
+0.028443
+0.027131
+0.0257413
+0.0244691
+0.023313
+0.0222949
+0.0214415
+0.0207482
+0.0202428
+0.0199384
+0.019462
+0.0186497
+0.0179326
+0.0172939
+0.0168702
+0.0164603
+0.0162473
+0.0161313
+0.016002
+0.0159885
+0.0160743
+0.016322
+0.0168059
+0.0170943
+0.0165207
+0.0160157
+0.0148248
+0.0138786
+0.013183
+0.0128271
+0.0125262
+0.0123287
+0.0125042
+0.0129917
+0.0136105
+0.0144722
+0.015553
+0.0166693
+0.0179843
+0.0194577
+0.0210562
+0.0227536
+0.0245293
+0.0262493
+0.0263774
+0.0262274
+0.0262312
+0.0264103
+0.0257077
+0.0242364
+0.0228726
+0.0216102
+0.0203389
+0.0191048
+0.0180176
+0.0171037
+0.0164066
+0.015739
+0.015195
+0.0149114
+0.0146786
+0.0147633
+0.0148351
+0.0151937
+0.0156967
+0.016279
+0.0170755
+0.0179949
+0.0190109
+0.0200311
+0.020587
+0.0208683
+0.0213231
+0.0217985
+0.0224455
+0.0232698
+0.024247
+0.0253088
+0.0264688
+0.0277505
+0.0289863
+0.0302973
+0.0317055
+0.0331675
+0.0346598
+0.0362161
+0.0378306
+0.0417998
+0.0403774
+0.0390251
+0.0376885
+0.0363738
+0.0351462
+0.0339886
+0.0328376
+0.0317518
+0.0307565
+0.0297337
+0.0287789
+0.0279352
+0.0271637
+0.0261548
+0.0247144
+0.0233864
+0.0221553
+0.021079
+0.0201837
+0.0194697
+0.0189519
+0.0186561
+0.0181155
+0.0173173
+0.0165875
+0.015977
+0.0155728
+0.0151689
+0.0149921
+0.0150181
+0.0149918
+0.0149557
+0.0150836
+0.0154876
+0.0160196
+0.0166597
+0.0172749
+0.01723
+0.0161289
+0.0152441
+0.014608
+0.0140071
+0.013687
+0.0136098
+0.0136955
+0.0139437
+0.0145219
+0.0152473
+0.0161252
+0.0172207
+0.0185116
+0.0199483
+0.0215104
+0.0231746
+0.0248307
+0.0245588
+0.0242026
+0.0240389
+0.0240441
+0.0242394
+0.0245829
+0.02309
+0.0216813
+0.0203842
+0.0191488
+0.0179292
+0.0168262
+0.0158862
+0.0150475
+0.0143584
+0.0138768
+0.0136559
+0.0134709
+0.0133965
+0.0135708
+0.0138996
+0.0143575
+0.015122
+0.0160448
+0.0169728
+0.0180496
+0.0189525
+0.0195281
+0.0198187
+0.0201972
+0.0206741
+0.021347
+0.0221921
+0.0231746
+0.024247
+0.0254371
+0.0266221
+0.0279054
+0.0292932
+0.0307176
+0.0321847
+0.0337077
+0.0352812
+0.0368991
+0.0404961
+0.0390263
+0.0376266
+0.0363023
+0.0350363
+0.0337606
+0.0325774
+0.0314192
+0.0302827
+0.0292525
+0.028255
+0.0273222
+0.0264562
+0.0256917
+0.0247913
+0.02364
+0.0224049
+0.0211222
+0.0199902
+0.0190438
+0.0183118
+0.0177935
+0.0175042
+0.0168464
+0.016056
+0.0153498
+0.014751
+0.014236
+0.0138145
+0.0136748
+0.013766
+0.0139721
+0.0139234
+0.0141537
+0.0146787
+0.0151955
+0.0159248
+0.0161404
+0.0165119
+0.0171228
+0.0166707
+0.0158629
+0.015328
+0.0150386
+0.0150123
+0.0149225
+0.0151506
+0.0155414
+0.0161297
+0.016962
+0.0180066
+0.0192449
+0.0206421
+0.022168
+0.0237249
+0.0230151
+0.0224216
+0.0220309
+0.021851
+0.0218578
+0.0220724
+0.0224992
+0.022041
+0.0206045
+0.0192835
+0.01797
+0.0167279
+0.0156478
+0.0146324
+0.013689
+0.0130193
+0.0125805
+0.0124473
+0.0122633
+0.0121781
+0.0123979
+0.0127068
+0.0132058
+0.0140329
+0.0150441
+0.0160246
+0.0170959
+0.0176642
+0.0183562
+0.0187887
+0.019139
+0.0196368
+0.0203184
+0.0211533
+0.0221419
+0.0232363
+0.0243305
+0.0255416
+0.0268765
+0.0283181
+0.0297693
+0.0312229
+0.0327226
+0.0342622
+0.0358694
+0.0392492
+0.0377539
+0.0363053
+0.034934
+0.0336446
+0.0324285
+0.0312187
+0.0299768
+0.0288479
+0.0277575
+0.0267547
+0.0258828
+0.0250118
+0.0241938
+0.0233254
+0.0222339
+0.0211389
+0.0201846
+0.0190868
+0.0180969
+0.017325
+0.0167889
+0.0165145
+0.0156779
+0.0149076
+0.014222
+0.0136184
+0.013119
+0.0126604
+0.012464
+0.0125739
+0.0129807
+0.0129553
+0.0132541
+0.0138017
+0.014498
+0.0148058
+0.0149487
+0.0153679
+0.0160212
+0.0161354
+0.0164117
+0.0167785
+0.0165593
+0.0163775
+0.0162577
+0.0164028
+0.0166793
+0.0172288
+0.0180273
+0.0190138
+0.0201904
+0.021475
+0.0227794
+0.0218049
+0.0209497
+0.0202958
+0.0198633
+0.0196636
+0.0196724
+0.0199105
+0.0203827
+0.0210731
+0.0195906
+0.0181537
+0.0168195
+0.0155952
+0.0145341
+0.0133902
+0.0124708
+0.0117478
+0.0113416
+0.0111296
+0.0110749
+0.0110065
+0.0111028
+0.0115775
+0.012228
+0.0131172
+0.013988
+0.0149237
+0.015851
+0.0163594
+0.0171042
+0.0177023
+0.0180612
+0.018643
+0.0192863
+0.0200899
+0.0210849
+0.0221483
+0.0232741
+0.0245441
+0.0259374
+0.0272599
+0.0286012
+0.0300426
+0.03157
+0.0331632
+0.0348211
+0.0380792
+0.0365378
+0.0350656
+0.0336477
+0.0323122
+0.0310685
+0.0298603
+0.0285661
+0.0273791
+0.0263212
+0.0253019
+0.0243951
+0.0235527
+0.0227617
+0.0219405
+0.0208525
+0.019736
+0.0188094
+0.0179766
+0.0173428
+0.0165539
+0.0159965
+0.0152896
+0.0145914
+0.0138624
+0.0131543
+0.0125845
+0.0121248
+0.0116618
+0.0114838
+0.0116266
+0.0120584
+0.012161
+0.0124412
+0.0129706
+0.0137727
+0.0138492
+0.0140005
+0.0144448
+0.0150149
+0.014998
+0.015234
+0.0157737
+0.0162961
+0.0169304
+0.0174822
+0.0176173
+0.0179753
+0.0185127
+0.01926
+0.0201434
+0.0211557
+0.0221529
+0.020986
+0.0198556
+0.0189124
+0.0181855
+0.0177014
+0.017477
+0.0174883
+0.0177558
+0.0182837
+0.0190503
+0.0185586
+0.0171053
+0.0157285
+0.0144672
+0.0133228
+0.0122843
+0.0113675
+0.01068
+0.0102668
+0.00996668
+0.00984505
+0.00982378
+0.00997327
+0.0105088
+0.0112037
+0.0120427
+0.0128981
+0.0139087
+0.01449
+0.0150933
+0.0158725
+0.0166739
+0.0170297
+0.0176014
+0.0182152
+0.019054
+0.0200936
+0.0211736
+0.0223326
+0.02353
+0.0247416
+0.0260499
+0.0274505
+0.0289353
+0.0304429
+0.0320259
+0.0336267
+0.0370021
+0.0354138
+0.0338928
+0.0324484
+0.0310651
+0.0297749
+0.0285946
+0.0272521
+0.0260074
+0.0248913
+0.0239117
+0.0229358
+0.0220951
+0.0213943
+0.0205638
+0.0195567
+0.0183949
+0.0174021
+0.0166086
+0.0160405
+0.0154364
+0.0146698
+0.0140452
+0.0134538
+0.0126655
+0.0119196
+0.0114851
+0.0111349
+0.0107212
+0.0106621
+0.0109179
+0.0113037
+0.0112837
+0.0115754
+0.0122497
+0.0130282
+0.0130277
+0.0133045
+0.0137392
+0.013928
+0.0139263
+0.0141801
+0.0146825
+0.0152758
+0.0159052
+0.0167284
+0.017627
+0.0181138
+0.0188194
+0.019744
+0.0206752
+0.0211244
+0.0205633
+0.0192041
+0.017962
+0.0169135
+0.0160966
+0.0155476
+0.0152917
+0.0153061
+0.015611
+0.0162089
+0.017069
+0.0175681
+0.0160412
+0.014646
+0.01331
+0.0121424
+0.0111545
+0.0102547
+0.00955996
+0.00902554
+0.00875493
+0.0085778
+0.00863243
+0.00880272
+0.00934044
+0.0101405
+0.0108867
+0.0118202
+0.0129384
+0.013285
+0.0139068
+0.0147484
+0.0156438
+0.0159829
+0.0164865
+0.0171505
+0.0180389
+0.0191381
+0.0202137
+0.0212129
+0.0223192
+0.0235581
+0.0248555
+0.0262304
+0.0277078
+0.0292593
+0.0307796
+0.0323615
+0.0360261
+0.0343928
+0.0328244
+0.0313309
+0.0299233
+0.0285851
+0.0273534
+0.026054
+0.024749
+0.0235734
+0.0225473
+0.0215254
+0.0206657
+0.0199843
+0.0191645
+0.018206
+0.017104
+0.0160838
+0.0152771
+0.0146851
+0.0142135
+0.0133743
+0.0126982
+0.0121593
+0.011514
+0.0107745
+0.0102506
+0.00994979
+0.00995738
+0.00988843
+0.0101912
+0.0103879
+0.0104557
+0.0108626
+0.0116653
+0.0124806
+0.0124609
+0.0127654
+0.0128363
+0.0127522
+0.0128089
+0.0131256
+0.0135439
+0.0142015
+0.0148616
+0.015745
+0.0166628
+0.0173788
+0.0181228
+0.0190298
+0.0194603
+0.019004
+0.0187936
+0.0175153
+0.0161437
+0.0149684
+0.0140387
+0.0134058
+0.0131081
+0.0131268
+0.013481
+0.0141691
+0.0151444
+0.0163549
+0.0150718
+0.0136108
+0.0122283
+0.0110117
+0.0099567
+0.00906061
+0.00844151
+0.00788857
+0.00755584
+0.00739942
+0.00739272
+0.00757947
+0.00825929
+0.00900538
+0.00984887
+0.0108664
+0.011935
+0.0123186
+0.0129813
+0.0138448
+0.0145666
+0.0148623
+0.0154442
+0.0162014
+0.0171391
+0.018224
+0.0190801
+0.0200225
+0.0211003
+0.0222851
+0.0236072
+0.0250238
+0.026431
+0.0279241
+0.0294944
+0.0311373
+0.0351207
+0.0334841
+0.0318711
+0.0303306
+0.0288743
+0.0275155
+0.0262368
+0.0249606
+0.023627
+0.0223927
+0.0213126
+0.0202335
+0.0193379
+0.0186226
+0.0178463
+0.0168224
+0.015715
+0.014822
+0.0140333
+0.0134566
+0.0130837
+0.01216
+0.0114337
+0.0109463
+0.0103314
+0.00982671
+0.00907385
+0.00870438
+0.0088384
+0.00908019
+0.00949346
+0.00945788
+0.00963517
+0.0101811
+0.0109999
+0.0116904
+0.0117593
+0.0119856
+0.0117733
+0.0116947
+0.0118583
+0.0120489
+0.0125267
+0.0131825
+0.0138925
+0.0147146
+0.0156418
+0.0164187
+0.0170897
+0.0179713
+0.0174129
+0.0169015
+0.0166646
+0.0159431
+0.0144293
+0.0131011
+0.0120279
+0.0112828
+0.0109273
+0.0109519
+0.0113742
+0.0121818
+0.0133018
+0.0146652
+0.0142746
+0.0126986
+0.0112603
+0.0099768
+0.00884956
+0.00791691
+0.00735476
+0.00682358
+0.00639033
+0.00615067
+0.00615168
+0.00639233
+0.00711261
+0.00785445
+0.00876524
+0.00983092
+0.0109583
+0.0115808
+0.0121895
+0.0130703
+0.0135488
+0.0138423
+0.0144654
+0.015332
+0.0163829
+0.0170577
+0.0178602
+0.0187694
+0.0198318
+0.0210262
+0.0223114
+0.0236561
+0.0251103
+0.0266654
+0.0282823
+0.0299624
+0.0342588
+0.032675
+0.0310376
+0.0294596
+0.0279579
+0.0265523
+0.0252586
+0.0240108
+0.0226279
+0.0213559
+0.0202197
+0.019102
+0.018155
+0.0173197
+0.0165119
+0.0156169
+0.0144172
+0.0134693
+0.0127636
+0.0123611
+0.011758
+0.0108359
+0.0101341
+0.00971358
+0.0093152
+0.00887965
+0.00816361
+0.00775087
+0.00785594
+0.00840433
+0.00839224
+0.00835456
+0.00868548
+0.00933207
+0.0101934
+0.0108425
+0.0110099
+0.0110098
+0.010805
+0.0106534
+0.0108674
+0.0110806
+0.0116391
+0.0122798
+0.013039
+0.0139328
+0.0146275
+0.0153312
+0.0160911
+0.0162279
+0.0154051
+0.0148245
+0.0145538
+0.0145269
+0.0128604
+0.01135
+0.0100923
+0.0091915
+0.00875155
+0.008785
+0.00930607
+0.0102757
+0.0115811
+0.0131245
+0.0135539
+0.0119209
+0.0104163
+0.00908132
+0.00789369
+0.00695839
+0.00614983
+0.00566581
+0.00526063
+0.00508559
+0.00500242
+0.00529127
+0.00598449
+0.00678738
+0.00781186
+0.00889375
+0.0100416
+0.0108839
+0.0116408
+0.0124092
+0.0126434
+0.0129711
+0.0135721
+0.0144755
+0.015184
+0.0157301
+0.0164263
+0.0173239
+0.0183958
+0.0196462
+0.0209441
+0.0223602
+0.023891
+0.0254842
+0.0271607
+0.0289061
+0.0334944
+0.0319059
+0.0303145
+0.0287094
+0.0271674
+0.0257183
+0.0243802
+0.0231722
+0.021797
+0.0204708
+0.0192727
+0.0181179
+0.0171042
+0.0161705
+0.0151154
+0.0141051
+0.0132049
+0.012275
+0.0115238
+0.0111222
+0.010566
+0.00955839
+0.00883642
+0.00836402
+0.0081041
+0.00782325
+0.00764877
+0.00721131
+0.00737165
+0.00797617
+0.00771271
+0.00752108
+0.00785965
+0.00855226
+0.00963936
+0.00993223
+0.0102692
+0.0100476
+0.00984856
+0.00966146
+0.00991498
+0.0102169
+0.0107653
+0.0114332
+0.0122655
+0.0128556
+0.0134884
+0.0142395
+0.0151882
+0.0143523
+0.013426
+0.0127832
+0.0124682
+0.0124362
+0.011463
+0.0097777
+0.00828462
+0.00715995
+0.00658565
+0.00663368
+0.00730975
+0.00850718
+0.0100451
+0.0117821
+0.0129265
+0.0112726
+0.00972894
+0.00841814
+0.00716033
+0.00607966
+0.00507645
+0.00444394
+0.00414242
+0.004008
+0.00390283
+0.00421388
+0.004942
+0.00583151
+0.00685348
+0.00799319
+0.00921797
+0.0099462
+0.0107822
+0.0114723
+0.0116462
+0.0119123
+0.0125394
+0.0132817
+0.0138684
+0.0143187
+0.0150071
+0.0159343
+0.0170861
+0.0183529
+0.0197118
+0.0211738
+0.0227463
+0.0244143
+0.0261595
+0.0279675
+0.0328586
+0.0312377
+0.0296805
+0.0280923
+0.0265199
+0.0250333
+0.0236565
+0.0224096
+0.0211504
+0.0197894
+0.0184998
+0.0172935
+0.0161468
+0.0149929
+0.0136469
+0.0125186
+0.0116254
+0.0109243
+0.0104286
+0.0100926
+0.00943401
+0.00846407
+0.00771119
+0.00723009
+0.0070942
+0.00712352
+0.00730842
+0.00724206
+0.00740631
+0.0079794
+0.00738652
+0.00714646
+0.0074273
+0.00810184
+0.0089073
+0.0090098
+0.00955205
+0.00907808
+0.00899093
+0.00884834
+0.00912448
+0.00947234
+0.0100627
+0.0107069
+0.0113638
+0.0118848
+0.0125329
+0.0133939
+0.0138767
+0.012579
+0.0115109
+0.0107769
+0.0104015
+0.010319
+0.0102918
+0.00841904
+0.00670929
+0.00525781
+0.00444414
+0.00452035
+0.00546065
+0.00698224
+0.00876256
+0.0106461
+0.0118298
+0.0108862
+0.00931885
+0.00790077
+0.006645
+0.00549461
+0.00442561
+0.00360541
+0.00322105
+0.00306484
+0.00307022
+0.00343438
+0.00400327
+0.00483152
+0.00589786
+0.00717456
+0.00853151
+0.00915585
+0.0099561
+0.0103558
+0.0105474
+0.0107254
+0.0111805
+0.0119666
+0.0125775
+0.0130135
+0.0137331
+0.0147108
+0.0158501
+0.0171334
+0.0185665
+0.0201043
+0.0217543
+0.0234928
+0.0253016
+0.0271643
+0.0319016
+0.0307011
+0.0291263
+0.0275984
+0.0260298
+0.0245256
+0.0231185
+0.0218409
+0.020682
+0.019291
+0.0179624
+0.0166303
+0.0153233
+0.0137678
+0.0123325
+0.0111002
+0.0101127
+0.00944017
+0.00905543
+0.00887772
+0.00839483
+0.00750881
+0.00687763
+0.00632425
+0.0062281
+0.00670623
+0.00717928
+0.00769612
+0.00798986
+0.00825909
+0.00756602
+0.00719032
+0.00735784
+0.00805424
+0.00817198
+0.00831494
+0.00874537
+0.00824086
+0.00809984
+0.00813837
+0.00850924
+0.00891863
+0.0095913
+0.0101341
+0.0106206
+0.0111148
+0.0118239
+0.0127085
+0.0122747
+0.0109497
+0.00971298
+0.00884372
+0.00839537
+0.00824021
+0.0083566
+0.00741622
+0.00543661
+0.00368579
+0.00239337
+0.0025374
+0.00397448
+0.00582537
+0.00780401
+0.00931014
+0.00988812
+0.0105065
+0.0093365
+0.00790638
+0.00660278
+0.00543217
+0.00432667
+0.00345435
+0.00294251
+0.00261952
+0.00252441
+0.00260547
+0.00318995
+0.0040494
+0.0051963
+0.00633704
+0.00773275
+0.00823411
+0.00903828
+0.00939579
+0.0092946
+0.00952457
+0.00998901
+0.0108077
+0.0114903
+0.011898
+0.012594
+0.0135603
+0.0147213
+0.0160764
+0.0175793
+0.0192117
+0.0209322
+0.0227257
+0.024581
+0.0264877
+0.0307041
+0.0295989
+0.0285572
+0.0271809
+0.0256886
+0.0241893
+0.0227794
+0.0214816
+0.0203376
+0.0190302
+0.0176174
+0.0160999
+0.0143458
+0.0127161
+0.011183
+0.00982755
+0.00874292
+0.00805347
+0.0077619
+0.00786134
+0.00751232
+0.00675373
+0.00620981
+0.00588421
+0.00595552
+0.00653512
+0.0075764
+0.00838158
+0.00903819
+0.00903678
+0.00815576
+0.00770424
+0.00779812
+0.00729054
+0.0072412
+0.00760325
+0.00801217
+0.00760108
+0.00747108
+0.00747733
+0.00797152
+0.00848643
+0.00915812
+0.00978282
+0.0102284
+0.0107017
+0.0113939
+0.0123131
+0.010803
+0.00940889
+0.00810537
+0.00704629
+0.00650942
+0.00623854
+0.00623036
+0.00612236
+0.00477028
+0.00266432
+0.000781848
+0.0011993
+0.00314011
+0.00516936
+0.00634963
+0.00747827
+0.00791413
+0.00868865
+0.00978476
+0.00842653
+0.00719284
+0.00603511
+0.00498847
+0.00418453
+0.00353625
+0.00304305
+0.00252775
+0.00223321
+0.00248112
+0.00319735
+0.00436665
+0.0056468
+0.00681199
+0.00725416
+0.00811555
+0.00836756
+0.00837202
+0.0086089
+0.0090904
+0.00995455
+0.010568
+0.0109117
+0.0115867
+0.0125593
+0.0137937
+0.0152233
+0.0168027
+0.0185071
+0.0202875
+0.0221304
+0.0240317
+0.025969
+0.0296204
+0.0284744
+0.0274185
+0.0264943
+0.0254612
+0.0240223
+0.0226249
+0.0213423
+0.0201904
+0.0187329
+0.0169128
+0.0151497
+0.0134864
+0.0118646
+0.0102267
+0.00879367
+0.00761796
+0.00684192
+0.00661705
+0.00686149
+0.00666353
+0.0061949
+0.00593797
+0.00588667
+0.00627783
+0.00694941
+0.00802037
+0.00928131
+0.0102786
+0.00990061
+0.00888801
+0.00802422
+0.00689605
+0.00625854
+0.00617095
+0.00665569
+0.00729902
+0.0070046
+0.00717177
+0.00727103
+0.00775828
+0.00834293
+0.00905689
+0.00969082
+0.0101815
+0.0106536
+0.0113341
+0.0113648
+0.00956361
+0.00788277
+0.00649719
+0.00535184
+0.00452403
+0.00409823
+0.00409943
+0.00441887
+0.00344
+0.00248899
+0.00064324
+0.00088899
+0.00252434
+0.00356491
+0.00462116
+0.0053774
+0.00602019
+0.0069718
+0.00809288
+0.00937119
+0.0082481
+0.00719704
+0.00626351
+0.0055655
+0.00489269
+0.00430029
+0.00337364
+0.00263434
+0.00233089
+0.00286243
+0.00379306
+0.0051612
+0.00581259
+0.00651288
+0.00753914
+0.00777704
+0.00777181
+0.00806105
+0.00862344
+0.00951113
+0.00991106
+0.0101891
+0.0108489
+0.0118588
+0.0131591
+0.0146403
+0.0162578
+0.017997
+0.0198242
+0.0217177
+0.0236627
+0.0255975
+0.0286374
+0.0274776
+0.0263818
+0.0254279
+0.024592
+0.023892
+0.02263
+0.0213667
+0.0197079
+0.0177872
+0.0158976
+0.0140585
+0.0123136
+0.0107059
+0.0092671
+0.00802776
+0.00678375
+0.0059677
+0.00563216
+0.00591619
+0.00609393
+0.00587879
+0.00602458
+0.00641877
+0.0069649
+0.00786355
+0.00890389
+0.0102317
+0.0114921
+0.00982795
+0.00840068
+0.00725645
+0.00630632
+0.0056138
+0.00557845
+0.00604455
+0.00679327
+0.00672748
+0.00704896
+0.00761869
+0.00799213
+0.00866561
+0.00929796
+0.00996997
+0.0104257
+0.0109659
+0.0116288
+0.010658
+0.00864116
+0.00673386
+0.00504208
+0.00376196
+0.00256859
+0.00193238
+0.00204406
+0.00228897
+0.00175218
+0.00153574
+0.000414776
+0.000513863
+0.00129192
+0.00175299
+0.00289745
+0.00338386
+0.00410293
+0.00519106
+0.00657225
+0.00828228
+0.00969142
+0.00870913
+0.00791203
+0.00729261
+0.0066537
+0.00586918
+0.00480093
+0.00376068
+0.0027252
+0.00250839
+0.00328735
+0.004667
+0.00493409
+0.00574547
+0.00678712
+0.00758879
+0.00764611
+0.00805607
+0.00862388
+0.00951153
+0.00957487
+0.00983354
+0.0104896
+0.011531
+0.0128294
+0.0143169
+0.0159672
+0.017735
+0.0195865
+0.0214404
+0.0233494
+0.0252989
+0.0276857
+0.0264961
+0.025431
+0.0244819
+0.023634
+0.0229052
+0.0223675
+0.0209488
+0.0189296
+0.0169499
+0.0150088
+0.0131373
+0.0113247
+0.00961
+0.00807222
+0.00681024
+0.00597062
+0.00545912
+0.0050401
+0.00533335
+0.00569361
+0.00604767
+0.00649036
+0.00716694
+0.00802845
+0.0089735
+0.0101213
+0.0113604
+0.0111758
+0.00946619
+0.00795532
+0.00668192
+0.00572063
+0.00506182
+0.00507749
+0.00579952
+0.00668335
+0.00701471
+0.00735413
+0.0081329
+0.00878083
+0.00938479
+0.00995876
+0.0106999
+0.0110766
+0.0116135
+0.0122302
+0.0102358
+0.00818075
+0.00612051
+0.00415358
+0.00248534
+0.00106702
+-6.94612e-05
+9.25938e-05
+0.000285333
+0.000355193
+-0.000450005
+-0.000912958
+-0.00108108
+-0.000510128
+0.000309927
+0.000851751
+0.00145067
+0.00219665
+0.00351336
+0.00526483
+0.00708616
+0.00888522
+0.0104484
+0.00973477
+0.00913255
+0.00861366
+0.00754943
+0.00623808
+0.00452115
+0.00318426
+0.00266363
+0.00306466
+0.00382516
+0.00387654
+0.00465798
+0.00585903
+0.00744874
+0.00810652
+0.00853862
+0.00911162
+0.00988834
+0.00965386
+0.00984542
+0.0105008
+0.0115411
+0.0128235
+0.0143154
+0.0159658
+0.0176485
+0.0194074
+0.0212271
+0.0231113
+0.0250352
+0.0266226
+0.0255228
+0.0245505
+0.0236012
+0.0227654
+0.0220696
+0.0215178
+0.0203542
+0.0183
+0.0162813
+0.0142952
+0.0123541
+0.0104937
+0.00876138
+0.00716818
+0.00582833
+0.00488748
+0.00449724
+0.0047279
+0.00520457
+0.00577601
+0.00639582
+0.00732637
+0.0081633
+0.00920661
+0.0102851
+0.0114471
+0.012728
+0.0111892
+0.00949531
+0.0079672
+0.00663986
+0.00564785
+0.0051398
+0.00518835
+0.00580187
+0.00691422
+0.00764974
+0.00819537
+0.00895637
+0.00993727
+0.0104432
+0.0109905
+0.0117072
+0.0120631
+0.012564
+0.0119705
+0.00985123
+0.00777159
+0.00577467
+0.00390333
+0.00179332
+-3.74513e-05
+-0.00155472
+-0.00195688
+-0.00159679
+-0.00155327
+-0.00238289
+-0.00292058
+-0.00314626
+-0.00267444
+-0.00164775
+-0.00123675
+-0.000652537
+0.000543993
+0.00237489
+0.00417452
+0.00612088
+0.00808629
+0.00973839
+0.0112483
+0.0110879
+0.0104127
+0.00883767
+0.00704509
+0.00547389
+0.00422122
+0.0032746
+0.00308594
+0.00315829
+0.00325813
+0.00410989
+0.00545852
+0.00713838
+0.00877252
+0.00942828
+0.0100534
+0.0104347
+0.0101499
+0.0103322
+0.0109585
+0.0118473
+0.0130291
+0.0144245
+0.0159442
+0.0175806
+0.019303
+0.0210918
+0.0229233
+0.0248059
+0.0255888
+0.0245074
+0.0235102
+0.0226814
+0.0219902
+0.0213627
+0.0208433
+0.019927
+0.0178362
+0.0157724
+0.0137476
+0.0117693
+0.0098744
+0.00808722
+0.00646021
+0.00517054
+0.00425233
+0.00398966
+0.00441055
+0.00534091
+0.00627439
+0.00718776
+0.00818791
+0.00945565
+0.0104672
+0.0117158
+0.012896
+0.0125153
+0.0106423
+0.00891538
+0.00740618
+0.00618289
+0.0053517
+0.00507297
+0.00544522
+0.0062944
+0.00744729
+0.00843614
+0.0094321
+0.0101436
+0.0111841
+0.0118166
+0.0123289
+0.0129952
+0.0133395
+0.0137918
+0.0117885
+0.00980078
+0.00766043
+0.00554376
+0.00351889
+0.00156209
+-0.000277985
+-0.00233031
+-0.00394368
+-0.00367408
+-0.00362885
+-0.00408369
+-0.00502183
+-0.00525164
+-0.00449671
+-0.00377801
+-0.00335084
+-0.00232621
+-0.000424132
+0.001305
+0.00327343
+0.005296
+0.00666087
+0.00816124
+0.00960988
+0.010874
+0.0116744
+0.0098514
+0.00814485
+0.00650102
+0.00503855
+0.00392196
+0.00329447
+0.00281172
+0.0028503
+0.00374179
+0.00522182
+0.00688493
+0.00868759
+0.0104414
+0.0113105
+0.0112509
+0.0109873
+0.0110618
+0.0114293
+0.012165
+0.013184
+0.0144402
+0.0159003
+0.0175134
+0.0192018
+0.0209748
+0.022805
+0.02467
+0.0245911
+0.0234803
+0.0225185
+0.0216802
+0.0210285
+0.0205298
+0.0202058
+0.019659
+0.0175649
+0.015483
+0.0134248
+0.011416
+0.009488
+0.00768386
+0.0061017
+0.00489423
+0.0040963
+0.00404246
+0.00474498
+0.00576138
+0.00715693
+0.00819582
+0.00941169
+0.0105848
+0.0119818
+0.0131027
+0.0141944
+0.0122298
+0.0103411
+0.00856846
+0.0070166
+0.00578996
+0.00505121
+0.00491894
+0.00543191
+0.0064554
+0.00788915
+0.00952366
+0.0105814
+0.0115884
+0.0125626
+0.013409
+0.0138701
+0.0144942
+0.0148313
+0.0131465
+0.0110265
+0.0089408
+0.0069202
+0.00483488
+0.00285669
+0.000849754
+-0.00123395
+-0.00292281
+-0.00493972
+-0.00581928
+-0.00573697
+-0.00598652
+-0.00693065
+-0.00736767
+-0.0064836
+-0.00587916
+-0.00519427
+-0.00323824
+-0.00133572
+0.000602759
+0.00252324
+0.00361863
+0.00508763
+0.00661717
+0.00780033
+0.00927664
+0.0106892
+0.0108533
+0.00909039
+0.00747923
+0.00600039
+0.00481468
+0.00381744
+0.00298241
+0.00318506
+0.00396056
+0.00530235
+0.00692389
+0.0087224
+0.0105754
+0.0125193
+0.012037
+0.0115847
+0.0115051
+0.0118305
+0.0124687
+0.0134377
+0.0146514
+0.0160309
+0.0175263
+0.0191485
+0.0208539
+0.0226274
+0.0244372
+0.0237164
+0.0225976
+0.0216115
+0.0207923
+0.0201175
+0.0196569
+0.0193534
+0.0192601
+0.0175017
+0.0154257
+0.0133859
+0.0113722
+0.00943483
+0.00763567
+0.00609817
+0.00500028
+0.00442086
+0.00454011
+0.00543604
+0.00664834
+0.00795479
+0.0094434
+0.0106587
+0.0119596
+0.0132431
+0.0146739
+0.0141112
+0.0121351
+0.0102465
+0.00850407
+0.00695553
+0.00580349
+0.00518407
+0.00522586
+0.00585555
+0.0068795
+0.00830674
+0.00996197
+0.0117931
+0.013113
+0.0141002
+0.0151516
+0.0155611
+0.016137
+0.0147416
+0.0126349
+0.0105264
+0.00845982
+0.00633009
+0.00420163
+0.00214624
+0.000183101
+-0.00185567
+-0.00379879
+-0.0058438
+-0.0076657
+-0.00781173
+-0.00799899
+-0.0087458
+-0.00938947
+-0.0085597
+-0.00790927
+-0.00618136
+-0.00404012
+-0.00200824
+-0.00037864
+0.000803511
+0.00208769
+0.00352079
+0.0047584
+0.00620171
+0.00763753
+0.00914785
+0.0107422
+0.0101465
+0.00856457
+0.0067402
+0.00497747
+0.00348874
+0.00273782
+0.00304723
+0.00418796
+0.00578792
+0.00745775
+0.00918264
+0.0109597
+0.0128649
+0.0127424
+0.0122854
+0.0122104
+0.012324
+0.0127934
+0.0136037
+0.0146985
+0.0160197
+0.0174765
+0.0190513
+0.0207031
+0.0224474
+0.0241967
+0.0228792
+0.0217579
+0.0207823
+0.0199333
+0.0192968
+0.0188476
+0.0185941
+0.0185391
+0.0176641
+0.0156078
+0.0135935
+0.0116431
+0.0097836
+0.00804169
+0.00655127
+0.00554021
+0.00508508
+0.00534798
+0.00628412
+0.0076359
+0.00907612
+0.0104808
+0.0120185
+0.0133585
+0.0147027
+0.0160598
+0.0143058
+0.0123607
+0.0104965
+0.00876132
+0.00727586
+0.00618716
+0.0056112
+0.00576623
+0.00650691
+0.00761394
+0.00896091
+0.0105667
+0.0123133
+0.0141444
+0.0157928
+0.0168088
+0.0173642
+0.0164805
+0.014428
+0.012342
+0.0102177
+0.00812392
+0.00602986
+0.00403964
+0.00229165
+0.00042893
+-0.00163256
+-0.00362501
+-0.00555283
+-0.00758139
+-0.00957676
+-0.0100756
+-0.0106782
+-0.0113655
+-0.0106802
+-0.00888446
+-0.0068883
+-0.00503993
+-0.00323858
+-0.00173267
+-0.000646131
+0.00043838
+0.00176411
+0.00316018
+0.00461461
+0.0061303
+0.00766946
+0.00925437
+0.0103032
+0.008327
+0.00648319
+0.00483052
+0.00339408
+0.00265451
+0.00288981
+0.00399025
+0.00564206
+0.00747968
+0.00945059
+0.0114771
+0.0134969
+0.0134522
+0.0128769
+0.0126067
+0.0126933
+0.0131163
+0.013841
+0.0148129
+0.0160093
+0.0174002
+0.0189154
+0.0204877
+0.0221652
+0.0238869
+0.0222174
+0.0210609
+0.0200775
+0.0192585
+0.018599
+0.0181661
+0.0179268
+0.0179299
+0.0180782
+0.0160613
+0.0140964
+0.0122086
+0.0104397
+0.00882911
+0.00749143
+0.00658781
+0.0062384
+0.00651243
+0.00736571
+0.00865392
+0.0101803
+0.011723
+0.0131977
+0.0147842
+0.0161918
+0.0166367
+0.0146711
+0.0127788
+0.0109889
+0.00932585
+0.00792346
+0.00691945
+0.00644337
+0.00661026
+0.00729124
+0.00841841
+0.0097915
+0.0113371
+0.0130373
+0.0148306
+0.0166817
+0.018513
+0.0180549
+0.0159707
+0.0139192
+0.011893
+0.00992471
+0.00798381
+0.00602082
+0.0041778
+0.00266118
+0.000697868
+-0.00117805
+-0.00318488
+-0.0052318
+-0.00735065
+-0.00950166
+-0.0116507
+-0.0126947
+-0.0134075
+-0.0117837
+-0.00983862
+-0.00792483
+-0.00615646
+-0.00469933
+-0.00343993
+-0.00233839
+-0.00102397
+0.000268418
+0.00159392
+0.00308151
+0.00459853
+0.0062386
+0.00809022
+0.00988044
+0.0083503
+0.00651799
+0.00488995
+0.00354995
+0.00295037
+0.00321631
+0.00430473
+0.00591678
+0.00774661
+0.00970222
+0.0117224
+0.0137687
+0.0141147
+0.01343
+0.0130807
+0.0130528
+0.0133587
+0.0140047
+0.0149468
+0.0160808
+0.0173386
+0.0187419
+0.020282
+0.0217058
+0.0230624
+0.0216189
+0.0204606
+0.0194767
+0.0186587
+0.018041
+0.0176118
+0.0174267
+0.0174564
+0.0177321
+0.0167581
+0.0148854
+0.0130927
+0.0114196
+0.00994953
+0.00878242
+0.00801709
+0.00773314
+0.00800373
+0.00876479
+0.00989949
+0.011323
+0.0129326
+0.0145149
+0.0160359
+0.0176605
+0.0171576
+0.0152444
+0.013405
+0.0116753
+0.0101256
+0.00882204
+0.00789379
+0.00747861
+0.00763585
+0.00830862
+0.00935215
+0.0106874
+0.0122264
+0.013877
+0.0156084
+0.0174433
+0.0193398
+0.0174128
+0.0153235
+0.0132462
+0.0111376
+0.00905116
+0.00701396
+0.005043
+0.00317942
+0.00144592
+0.000159286
+-0.00158279
+-0.00351269
+-0.00554394
+-0.00762742
+-0.00972516
+-0.0118363
+-0.013563
+-0.0141547
+-0.0127603
+-0.0109016
+-0.00918218
+-0.00770561
+-0.00635706
+-0.00522299
+-0.00399375
+-0.00269815
+-0.00117485
+0.000172768
+0.00157339
+0.00337542
+0.0051399
+0.00688309
+0.00877155
+0.00839346
+0.00662549
+0.00508123
+0.00389389
+0.00342543
+0.00387968
+0.00498498
+0.00653467
+0.00832711
+0.0102214
+0.0121935
+0.0142142
+0.0146243
+0.0139638
+0.0135673
+0.0135112
+0.0137452
+0.0142223
+0.0149653
+0.0159763
+0.0172082
+0.0185849
+0.0197177
+0.0210074
+0.0224222
+0.0211527
+0.0200036
+0.0190215
+0.0182005
+0.0176069
+0.0172253
+0.0170569
+0.0171564
+0.0174382
+0.017684
+0.0158955
+0.0142147
+0.0126904
+0.0113856
+0.0103596
+0.0096997
+0.00946635
+0.00972066
+0.0103614
+0.0113644
+0.0126351
+0.0141228
+0.0157251
+0.0174107
+0.0189557
+0.0177683
+0.0159263
+0.0141656
+0.0125413
+0.0111066
+0.00993955
+0.00913828
+0.00875764
+0.00891333
+0.00951288
+0.0105161
+0.0117743
+0.013208
+0.0148062
+0.0164966
+0.0182934
+0.0190855
+0.0169906
+0.0148615
+0.0127302
+0.0105984
+0.00847357
+0.006357
+0.00424132
+0.00215799
+0.000175319
+-0.00154442
+-0.00292544
+-0.00459109
+-0.00645481
+-0.00836259
+-0.0100448
+-0.0110045
+-0.0115002
+-0.0121418
+-0.0130831
+-0.0122284
+-0.0107238
+-0.00939045
+-0.00814192
+-0.00659767
+-0.00506582
+-0.00362769
+-0.00208859
+-0.000860451
+0.00059964
+0.00208876
+0.00396522
+0.00578883
+0.00747887
+0.0087707
+0.00706802
+0.00561068
+0.0046101
+0.00428278
+0.00474074
+0.00586242
+0.00736917
+0.00911071
+0.0109756
+0.0129148
+0.0148833
+0.0153217
+0.0145447
+0.0140258
+0.0138379
+0.0139601
+0.0143865
+0.0151214
+0.0160716
+0.0170363
+0.0180007
+0.0191681
+0.0204924
+0.0219472
+0.0208725
+0.0197071
+0.0187263
+0.0179546
+0.0173537
+0.0170049
+0.0168461
+0.0169593
+0.0173131
+0.0178601
+0.0170866
+0.0155353
+0.0141541
+0.0129791
+0.0120695
+0.011503
+0.0113069
+0.0115314
+0.0120785
+0.0129751
+0.0141362
+0.0154788
+0.0169985
+0.0186146
+0.0203287
+0.0185943
+0.0168277
+0.015172
+0.0136597
+0.0123461
+0.0113076
+0.0106015
+0.0102735
+0.0104065
+0.0109465
+0.011831
+0.0130266
+0.0144032
+0.0158946
+0.0175171
+0.0192187
+0.0188438
+0.0167517
+0.0146506
+0.0125583
+0.0103912
+0.00821298
+0.00604372
+0.00389828
+0.00178185
+-0.000237489
+-0.00207344
+-0.00338983
+-0.00462483
+-0.00610259
+-0.00735655
+-0.0080978
+-0.00892249
+-0.00947787
+-0.0102024
+-0.0112566
+-0.0111648
+-0.0114066
+-0.0109764
+-0.00930665
+-0.0076416
+-0.00610162
+-0.0045352
+-0.00297677
+-0.00168407
+-8.75872e-05
+0.00113271
+0.00280708
+0.00447449
+0.00613045
+0.00763462
+0.00788664
+0.00659129
+0.00572249
+0.00546135
+0.00591647
+0.0069352
+0.00836912
+0.0100142
+0.0117997
+0.0136795
+0.0156342
+0.0157862
+0.0149924
+0.0144893
+0.0142721
+0.0142666
+0.0145577
+0.0151122
+0.0158556
+0.0166569
+0.0176707
+0.0188584
+0.020203
+0.0216773
+0.0208166
+0.0196518
+0.0186681
+0.0178938
+0.0172909
+0.0169503
+0.0168693
+0.0169823
+0.017373
+0.017997
+0.0184557
+0.0170296
+0.0157731
+0.0147108
+0.0139149
+0.0134183
+0.0132506
+0.0134426
+0.0139291
+0.0147134
+0.0157654
+0.0170046
+0.0183987
+0.0199366
+0.021368
+0.0196065
+0.0179398
+0.0163968
+0.0150045
+0.0138011
+0.0128609
+0.0122399
+0.011957
+0.0120715
+0.0125303
+0.0133269
+0.014399
+0.0156751
+0.0171097
+0.0186915
+0.0203371
+0.0187174
+0.016625
+0.0145614
+0.0125075
+0.0104023
+0.00834125
+0.00621838
+0.00416003
+0.00222623
+0.000493015
+-0.00091569
+-0.00216128
+-0.00352415
+-0.00451861
+-0.00533781
+-0.00611616
+-0.00678831
+-0.00748961
+-0.00830977
+-0.00924051
+-0.00906433
+-0.00935232
+-0.00925991
+-0.00905105
+-0.0089159
+-0.0073397
+-0.00577984
+-0.00432996
+-0.00293521
+-0.00136906
+0.000500378
+0.00172314
+0.00328668
+0.00463948
+0.00642324
+0.00820441
+0.00797225
+0.00725493
+0.00703553
+0.00742344
+0.00830881
+0.00957084
+0.011097
+0.0128009
+0.0146094
+0.0164971
+0.0163617
+0.0155153
+0.0149057
+0.014555
+0.0144601
+0.0146103
+0.0149642
+0.0155054
+0.0163239
+0.0173559
+0.0185351
+0.0198862
+0.0213666
+0.0209114
+0.0197725
+0.0188205
+0.0180851
+0.0175042
+0.0171678
+0.0170878
+0.0171994
+0.0175853
+0.0182281
+0.0190512
+0.0186618
+0.0175025
+0.0165516
+0.0158484
+0.0154072
+0.0152614
+0.0154284
+0.0158613
+0.0165543
+0.017496
+0.0186486
+0.0199418
+0.0213689
+0.0224536
+0.0207882
+0.0192265
+0.0177709
+0.0164785
+0.0153908
+0.0145537
+0.014008
+0.0137614
+0.013861
+0.0142624
+0.0149671
+0.015939
+0.0170919
+0.0184309
+0.0199081
+0.0206054
+0.0187586
+0.0167362
+0.0146883
+0.0126882
+0.0107363
+0.00869846
+0.00669315
+0.004836
+0.0031676
+0.00171323
+0.000275282
+-0.000919263
+-0.0018953
+-0.00258176
+-0.00325003
+-0.0041227
+-0.00469942
+-0.00549691
+-0.00637691
+-0.00722526
+-0.0070193
+-0.00723753
+-0.00711539
+-0.00695096
+-0.00723698
+-0.00770484
+-0.00726115
+-0.00583973
+-0.00431396
+-0.00259032
+-0.00101482
+0.000415951
+0.00196504
+0.00367933
+0.00532367
+0.00711346
+0.00908071
+0.00902976
+0.00885426
+0.00919324
+0.00993557
+0.0110424
+0.0124078
+0.0139677
+0.0156729
+0.0174771
+0.0169082
+0.0160545
+0.0153666
+0.0147735
+0.0144143
+0.0143466
+0.0145835
+0.015134
+0.0159133
+0.0169417
+0.0181501
+0.0195129
+0.0210161
+0.0212015
+0.020079
+0.0191422
+0.0184196
+0.0179284
+0.0176002
+0.0175415
+0.0176873
+0.0180628
+0.0186638
+0.0194733
+0.020383
+0.0193258
+0.018469
+0.0178415
+0.0174445
+0.0173158
+0.0174632
+0.017853
+0.0184714
+0.0193198
+0.0203695
+0.021591
+0.0229214
+0.0236679
+0.0220918
+0.0206268
+0.0192824
+0.0180982
+0.0171138
+0.0163651
+0.0158817
+0.0156647
+0.0157522
+0.0161065
+0.0167262
+0.0175914
+0.0186585
+0.0198927
+0.0212736
+0.0197978
+0.0179479
+0.0161138
+0.0143461
+0.0126558
+0.0110604
+0.00932091
+0.00749168
+0.00582234
+0.00433299
+0.00290922
+0.00169479
+0.000766373
+4.03445e-05
+-0.000586722
+-0.0012479
+-0.00205609
+-0.00267373
+-0.00345948
+-0.00447615
+-0.00519249
+-0.004911
+-0.00506756
+-0.00493107
+-0.00493039
+-0.00529694
+-0.00592977
+-0.00666141
+-0.00624163
+-0.00568651
+-0.00397783
+-0.00247837
+-0.000794162
+0.0011855
+0.00286184
+0.00460747
+0.0065946
+0.00860431
+0.0106127
+0.0108118
+0.0111065
+0.0117338
+0.0126978
+0.0139295
+0.0153461
+0.0169187
+0.0185045
+0.0172396
+0.0161554
+0.0152699
+0.0146565
+0.0142966
+0.0142073
+0.0144465
+0.0149594
+0.0157473
+0.0167859
+0.0179998
+0.0193708
+0.0208821
+0.0216493
+0.0205513
+0.0196371
+0.0189334
+0.0184643
+0.0182393
+0.0181827
+0.0183492
+0.0187281
+0.0193202
+0.0201033
+0.0210859
+0.0212187
+0.0204414
+0.0198715
+0.0195142
+0.0193993
+0.019531
+0.0198865
+0.0204435
+0.0212132
+0.0221735
+0.0233007
+0.0245699
+0.0250126
+0.0235256
+0.0221557
+0.0209144
+0.019828
+0.0189337
+0.0182577
+0.0178017
+0.0176083
+0.0176863
+0.0180119
+0.0185613
+0.0193446
+0.0203349
+0.0214784
+0.0210309
+0.0190493
+0.0171188
+0.0152539
+0.0134459
+0.0116969
+0.0100331
+0.00842156
+0.00684589
+0.0055125
+0.004406
+0.0038626
+0.00337929
+0.00258214
+0.00201757
+0.00153254
+0.000760289
+-3.88704e-05
+-0.000665199
+-0.00151673
+-0.00241908
+-0.00307963
+-0.00280749
+-0.00291889
+-0.00275016
+-0.0027884
+-0.00333131
+-0.00423437
+-0.00515977
+-0.00612087
+-0.00557047
+-0.00434783
+-0.00325124
+-0.00166873
+0.000196952
+0.00198523
+0.00398279
+0.00605548
+0.00804934
+0.0101014
+0.0122017
+0.0130908
+0.0136472
+0.0144929
+0.0155862
+0.0168915
+0.0183371
+0.0186713
+0.017418
+0.0163124
+0.0154365
+0.0148061
+0.0144477
+0.0143594
+0.0145961
+0.0151039
+0.0158846
+0.0168773
+0.0180687
+0.0194348
+0.0209415
+0.0223043
+0.0212402
+0.020357
+0.0196791
+0.0192282
+0.0190204
+0.0190556
+0.0192146
+0.0195892
+0.0201704
+0.0209446
+0.0218894
+0.0229942
+0.0224525
+0.0219201
+0.0215968
+0.021493
+0.0216119
+0.0219499
+0.0224562
+0.0231591
+0.0240418
+0.0250852
+0.0262702
+0.0264695
+0.025069
+0.0237882
+0.022641
+0.0216414
+0.0208185
+0.0201834
+0.0197718
+0.0195979
+0.0196679
+0.0199696
+0.0204665
+0.0211795
+0.0220876
+0.022624
+0.0205627
+0.0185311
+0.0165402
+0.0145909
+0.0126986
+0.0108709
+0.00914967
+0.00756046
+0.00590084
+0.00443334
+0.00325305
+0.0025471
+0.00238644
+0.00241167
+0.00299178
+0.00363308
+0.0027837
+0.00205657
+0.00135043
+0.000314727
+-0.000371388
+-0.000939816
+-0.000694836
+-0.000770104
+-0.000572726
+-0.000620504
+-0.00133337
+-0.00240053
+-0.00342439
+-0.00464567
+-0.00580836
+-0.00461643
+-0.00327127
+-0.00190228
+-0.000575552
+0.001405
+0.0032798
+0.00534478
+0.00746628
+0.00961886
+0.011723
+0.0138319
+0.0156331
+0.016377
+0.0173616
+0.0185424
+0.019895
+0.0187858
+0.0174896
+0.0163849
+0.0155126
+0.0148958
+0.0145396
+0.0144782
+0.014713
+0.0152619
+0.0160688
+0.0170882
+0.018314
+0.0197053
+0.0211629
+0.0231489
+0.0221254
+0.021279
+0.0206314
+0.0202017
+0.0200041
+0.0200454
+0.020267
+0.0206359
+0.0212021
+0.0219495
+0.0228504
+0.0239186
+0.0244806
+0.0239923
+0.0236973
+0.0236027
+0.0237111
+0.0240196
+0.0244995
+0.0251453
+0.0259605
+0.0269297
+0.0280368
+0.0280221
+0.0267032
+0.0255045
+0.0244421
+0.023509
+0.0227384
+0.0221583
+0.021784
+0.0216263
+0.0216898
+0.0219708
+0.0224239
+0.0230765
+0.0239127
+0.0223935
+0.0202996
+0.0182286
+0.016189
+0.0141831
+0.0122278
+0.0103279
+0.00854475
+0.00684819
+0.00532275
+0.00370351
+0.00232876
+0.00122731
+0.00121529
+0.00159508
+0.00246052
+0.00364831
+0.00480031
+0.00413312
+0.00330778
+0.00236342
+0.00170372
+0.00124108
+0.0014602
+0.00140307
+0.00159493
+0.00149774
+0.000619888
+-0.000560268
+-0.00168773
+-0.00279085
+-0.00408505
+-0.00518152
+-0.00382397
+-0.00246489
+-0.00097373
+0.000972792
+0.00297826
+0.00503339
+0.00710128
+0.00922603
+0.0113758
+0.0135084
+0.0155947
+0.0177062
+0.0192073
+0.0202956
+0.0204636
+0.0190299
+0.0177514
+0.0166639
+0.0158068
+0.0152087
+0.0148977
+0.0148378
+0.015067
+0.0156034
+0.0164059
+0.0174214
+0.0186402
+0.0200208
+0.0215245
+0.0241511
+0.0231845
+0.0223781
+0.0217633
+0.0213564
+0.0211696
+0.0212042
+0.0214178
+0.0218142
+0.0223981
+0.0230973
+0.023955
+0.024976
+0.0261309
+0.0260839
+0.0258128
+0.025726
+0.0258254
+0.026109
+0.0265662
+0.027163
+0.0279193
+0.0288227
+0.0298598
+0.0296553
+0.0284123
+0.0272889
+0.0262894
+0.0254145
+0.0247033
+0.0241704
+0.0238278
+0.0236837
+0.0237417
+0.0240004
+0.024421
+0.0250216
+0.0244606
+0.0223457
+0.0202469
+0.0181699
+0.0161229
+0.0141076
+0.0121402
+0.0102237
+0.00841855
+0.00666231
+0.00486933
+0.00297043
+0.00126715
+0.000225219
+-6.15732e-05
+0.00105747
+0.00211315
+0.00360884
+0.00528202
+0.00619823
+0.00519305
+0.00440288
+0.00377434
+0.00342659
+0.0036363
+0.0035865
+0.00375706
+0.00352529
+0.00245552
+0.0013085
+0.000231171
+-0.00105365
+-0.00255595
+-0.00372657
+-0.00468811
+-0.00284443
+-0.000822606
+0.00102228
+0.00295669
+0.00494366
+0.00702488
+0.00915732
+0.0112851
+0.0133595
+0.0154659
+0.017593
+0.0197339
+0.0218772
+0.0207967
+0.0194007
+0.0181483
+0.0170861
+0.0162514
+0.0156805
+0.0153999
+0.0153711
+0.0156519
+0.0162225
+0.0170063
+0.0179904
+0.019173
+0.020522
+0.0220068
+0.0252792
+0.0243832
+0.0236249
+0.0230433
+0.0226595
+0.0224503
+0.0224457
+0.022654
+0.0230444
+0.0236173
+0.0243739
+0.0252021
+0.0261745
+0.0272786
+0.0281906
+0.0279399
+0.0278597
+0.0279516
+0.0282137
+0.0286415
+0.0292056
+0.0299103
+0.0307553
+0.0317292
+0.0313566
+0.0301838
+0.0291287
+0.0281772
+0.0273626
+0.0267034
+0.0262112
+0.0258956
+0.0257631
+0.0258164
+0.0260545
+0.0264488
+0.025565
+0.024267
+0.0224725
+0.0204304
+0.0183741
+0.0163526
+0.0143696
+0.0122577
+0.0101156
+0.00799988
+0.00593877
+0.00400925
+0.00234321
+0.000578355
+-0.00102639
+-0.00101479
+0.000395442
+0.00212137
+0.00368219
+0.00550658
+0.00742684
+0.00719399
+0.00644612
+0.00588469
+0.00560954
+0.00581693
+0.00577165
+0.00592168
+0.00550434
+0.00427107
+0.0031655
+0.00192204
+0.0004174
+-0.000738548
+-0.00207046
+-0.00330642
+-0.00205588
+-0.000247746
+0.00161259
+0.00347238
+0.00537039
+0.00738675
+0.0094329
+0.0114542
+0.013503
+0.0155904
+0.0177028
+0.0198322
+0.0219737
+0.0213264
+0.0199673
+0.0187529
+0.0177269
+0.0169238
+0.0163764
+0.0161045
+0.016077
+0.0163456
+0.0168964
+0.017697
+0.0186891
+0.019874
+0.0212195
+0.0226725
+0.0265405
+0.0256751
+0.0249494
+0.0243994
+0.0240335
+0.0238287
+0.0238244
+0.0240207
+0.0244001
+0.0249419
+0.0256599
+0.0265398
+0.0274917
+0.0285486
+0.0297208
+0.0300761
+0.0300017
+0.030087
+0.0303307
+0.030729
+0.0312655
+0.0319248
+0.0327178
+0.0336349
+0.0331155
+0.0320072
+0.0310033
+0.030106
+0.029345
+0.0287313
+0.0282744
+0.0279821
+0.0278595
+0.0279088
+0.0270145
+0.0254265
+0.0239213
+0.0225288
+0.0212661
+0.0196779
+0.0176134
+0.0155835
+0.0135902
+0.0116304
+0.00967475
+0.00767644
+0.00550259
+0.00334666
+0.00128566
+-0.000302115
+-0.00170477
+-0.00144012
+0.000353005
+0.00213647
+0.00388358
+0.00573977
+0.00776495
+0.0091822
+0.00840734
+0.00794263
+0.00779328
+0.00799545
+0.00795849
+0.00809845
+0.00729795
+0.00618403
+0.00471528
+0.00320418
+0.0018853
+0.000471607
+-0.000658033
+-0.00163106
+-0.000650554
+0.000756208
+0.00232929
+0.00411059
+0.00601217
+0.00806081
+0.0101155
+0.0120226
+0.0139884
+0.0160127
+0.0180758
+0.0201658
+0.0222752
+0.0220471
+0.0207232
+0.0195557
+0.0185741
+0.0178093
+0.0172899
+0.0170186
+0.0169925
+0.017247
+0.0177698
+0.0185385
+0.0195102
+0.0206372
+0.0219258
+0.0233492
+0.0279166
+0.0270739
+0.0263867
+0.0258673
+0.0255147
+0.0253219
+0.0253178
+0.0255027
+0.0258703
+0.0263822
+0.027062
+0.0278977
+0.0288757
+0.0299194
+0.0310455
+0.0322196
+0.0321502
+0.0322298
+0.0324574
+0.0328299
+0.0333401
+0.0339591
+0.0347056
+0.0355716
+0.0349232
+0.0338741
+0.0329123
+0.0320684
+0.0313551
+0.0307815
+0.0303555
+0.0300834
+0.0291347
+0.0273427
+0.0256127
+0.0239582
+0.0223715
+0.0208759
+0.0195121
+0.0182879
+0.0169459
+0.0148739
+0.0127845
+0.0107285
+0.0087268
+0.00677914
+0.00484689
+0.00303798
+0.00101788
+-0.00115671
+-0.00279909
+-0.0018837
+0.000226202
+0.00235538
+0.00436432
+0.00637973
+0.00832689
+0.0103049
+0.0104277
+0.0100568
+0.00997932
+0.010146
+0.0101334
+0.0102806
+0.00883874
+0.00715975
+0.00563442
+0.00411048
+0.00284225
+0.00196173
+0.000881907
+0.000387622
+0.00115342
+0.00237167
+0.00372392
+0.00523688
+0.00700976
+0.0088679
+0.0108198
+0.012849
+0.0147857
+0.0167137
+0.0186997
+0.0207269
+0.0227844
+0.0229348
+0.0216652
+0.0205513
+0.0196197
+0.0188972
+0.0184085
+0.0181523
+0.0181278
+0.0183666
+0.0188584
+0.0195807
+0.0204903
+0.0215713
+0.0228071
+0.0241787
+0.0293721
+0.0285724
+0.027922
+0.0274317
+0.0270922
+0.0269107
+0.0269069
+0.0270809
+0.0274293
+0.0279202
+0.0285634
+0.0293564
+0.0302874
+0.0313441
+0.0324613
+0.0336425
+0.034304
+0.0343786
+0.0345921
+0.0349419
+0.035424
+0.0360118
+0.0367166
+0.0375362
+0.0367726
+0.0357669
+0.0348545
+0.0340587
+0.033388
+0.0328499
+0.0316883
+0.0297994
+0.0279448
+0.0261311
+0.0243256
+0.0225791
+0.0209056
+0.0193303
+0.0178488
+0.0165256
+0.0153573
+0.01428
+0.0121596
+0.0100693
+0.00801712
+0.00592115
+0.00392761
+0.00207215
+0.000278376
+-0.00161899
+-0.00310486
+-0.00111755
+0.000735955
+0.00278164
+0.00490095
+0.00703847
+0.00901491
+0.0109977
+0.0125056
+0.012198
+0.0121137
+0.0123107
+0.0123067
+0.011566
+0.00989921
+0.00825674
+0.00666548
+0.00540732
+0.00436319
+0.00353744
+0.0027635
+0.00248732
+0.00308591
+0.00419109
+0.00540338
+0.00676643
+0.00825415
+0.0099273
+0.0117481
+0.0136779
+0.0156763
+0.0176604
+0.0195504
+0.0214976
+0.0234877
+0.0239845
+0.0227735
+0.0217165
+0.020837
+0.0201582
+0.0196933
+0.0194255
+0.0194027
+0.0196259
+0.0200869
+0.0207557
+0.0216159
+0.022656
+0.0238405
+0.0251557
+0.0309144
+0.0301556
+0.0295402
+0.0290771
+0.0287502
+0.0285792
+0.0285756
+0.0287395
+0.0290681
+0.0295407
+0.0301494
+0.0309017
+0.0317874
+0.0327958
+0.0339159
+0.0350928
+0.0363182
+0.0365324
+0.0367334
+0.037063
+0.0375178
+0.0380798
+0.038747
+0.0395245
+0.0386574
+0.0376893
+0.0368245
+0.0360722
+0.0346869
+0.0326796
+0.0306973
+0.0287451
+0.0268255
+0.0249463
+0.0231175
+0.0213069
+0.0195469
+0.0178677
+0.0162941
+0.0148509
+0.0135729
+0.0124572
+0.0114568
+0.00963531
+0.00750252
+0.00540846
+0.00334313
+0.00140853
+-0.000156862
+-0.00176666
+-0.00204949
+-0.000559184
+0.0015355
+0.00336643
+0.00526517
+0.00728025
+0.00937427
+0.0115043
+0.0136536
+0.0143542
+0.014258
+0.0144561
+0.0144359
+0.012769
+0.0110609
+0.00948288
+0.00812662
+0.00707311
+0.00617365
+0.00532959
+0.00484519
+0.00462632
+0.00509366
+0.00606613
+0.00721403
+0.00846039
+0.00978733
+0.0112823
+0.0129291
+0.0147047
+0.0165799
+0.0185244
+0.0205186
+0.0224563
+0.0243682
+0.0251815
+0.0240309
+0.0230317
+0.0221996
+0.0215519
+0.0210909
+0.0208409
+0.0208196
+0.0210278
+0.0214587
+0.022086
+0.0228963
+0.0238807
+0.0250187
+0.0262795
+0.0325312
+0.031811
+0.0312282
+0.0307906
+0.0304755
+0.0303143
+0.0303109
+0.0304655
+0.0307756
+0.0312309
+0.0318072
+0.0325212
+0.033364
+0.0343261
+0.0353978
+0.0365695
+0.0377929
+0.0386904
+0.0388802
+0.0391918
+0.0396221
+0.0401609
+0.040794
+0.0415333
+0.0405626
+0.0396395
+0.0379273
+0.0359021
+0.0338976
+0.0318705
+0.0298346
+0.0278218
+0.0258337
+0.0238811
+0.0219734
+0.0201152
+0.0183146
+0.0165263
+0.0148385
+0.0132843
+0.0118863
+0.0106814
+0.00955138
+0.00865013
+0.00686123
+0.00489205
+0.0030088
+0.00152961
+4.24922e-05
+-0.000987785
+-0.00131712
+7.38431e-05
+0.00211515
+0.00413047
+0.00616176
+0.00796251
+0.0099214
+0.011961
+0.0140404
+0.015677
+0.0164146
+0.0148919
+0.0134105
+0.0120498
+0.0108962
+0.0100089
+0.00954341
+0.00884063
+0.00787353
+0.00721146
+0.0069774
+0.00679733
+0.00716871
+0.00797526
+0.00911995
+0.0102029
+0.0115054
+0.0128131
+0.0143273
+0.0159678
+0.0177097
+0.0195422
+0.0214419
+0.0233926
+0.0253825
+0.0264961
+0.025395
+0.024441
+0.0236521
+0.0230451
+0.0226146
+0.0223815
+0.0223617
+0.0225557
+0.0229579
+0.0235453
+0.024307
+0.0252365
+0.0263159
+0.0275276
+0.0342119
+0.0335278
+0.0329754
+0.0325567
+0.0322574
+0.0321051
+0.0321019
+0.0322479
+0.032541
+0.0329774
+0.0335263
+0.0342044
+0.0350067
+0.0359248
+0.0369502
+0.0380741
+0.0392882
+0.0405499
+0.0410317
+0.041327
+0.0417354
+0.042253
+0.0428553
+0.0434662
+0.04142
+0.0393445
+0.0372822
+0.0352245
+0.0331791
+0.0311534
+0.0291023
+0.0270449
+0.0249951
+0.0229714
+0.0209811
+0.019035
+0.017147
+0.015327
+0.0135409
+0.0118385
+0.0103019
+0.0089876
+0.00776361
+0.00672126
+0.00583259
+0.00418351
+0.0023792
+0.00114626
+-8.32889e-05
+-0.000854576
+-0.000886707
+0.000422972
+0.0023537
+0.00435911
+0.0064645
+0.00836288
+0.00968734
+0.0111234
+0.0127233
+0.0144476
+0.0154142
+0.0137352
+0.012195
+0.0107716
+0.00953378
+0.00859801
+0.00805325
+0.00805703
+0.00842676
+0.00891795
+0.00897873
+0.00897789
+0.00928422
+0.00996006
+0.0109422
+0.0120699
+0.0132421
+0.0142511
+0.0153269
+0.0166231
+0.0180924
+0.0196713
+0.0213458
+0.0230997
+0.0249229
+0.0268011
+0.0268532
+0.0259529
+0.0252113
+0.0246427
+0.0242406
+0.0240234
+0.0240049
+0.0241857
+0.0245613
+0.0251111
+0.0258267
+0.0267033
+0.0277257
+0.0288783
+0.0359476
+0.0352972
+0.0347729
+0.0343704
+0.034087
+0.0339429
+0.0339399
+0.034078
+0.0343555
+0.0347691
+0.0352976
+0.0359424
+0.0367067
+0.0375833
+0.0385646
+0.0396428
+0.0408102
+0.0420594
+0.0431871
+0.0434677
+0.0438562
+0.0443496
+0.0449288
+0.0430393
+0.0409287
+0.038827
+0.0367356
+0.0346566
+0.0325921
+0.0305276
+0.0284807
+0.0263945
+0.024308
+0.0222409
+0.0201787
+0.0181467
+0.0161562
+0.0142247
+0.0123738
+0.0106203
+0.00890386
+0.00740906
+0.00616867
+0.00492909
+0.00384446
+0.00292419
+0.00160086
+0.000516545
+-0.000586372
+-0.00107418
+-0.00108356
+-2.81819e-05
+0.00195971
+0.00380977
+0.00546293
+0.00679664
+0.00829721
+0.00985763
+0.0115941
+0.0134147
+0.0145612
+0.0128149
+0.0112007
+0.00970691
+0.0083679
+0.00718623
+0.00642555
+0.00628938
+0.00662936
+0.00722428
+0.00765345
+0.00781464
+0.00816443
+0.00894662
+0.0100663
+0.0114728
+0.0121259
+0.0130058
+0.0141715
+0.0155446
+0.0170625
+0.0187142
+0.0204671
+0.0222903
+0.0241746
+0.0261068
+0.0280769
+0.0275561
+0.0268588
+0.0263259
+0.0259498
+0.025747
+0.0257298
+0.0258985
+0.0262496
+0.0267648
+0.0274373
+0.028264
+0.0292318
+0.0303273
+0.0377307
+0.0371115
+0.0366132
+0.0362257
+0.0359569
+0.0358204
+0.0358175
+0.0359484
+0.0362116
+0.0366043
+0.0371138
+0.0377275
+0.0384563
+0.039294
+0.0402336
+0.0412682
+0.0423908
+0.0435947
+0.0448729
+0.0456132
+0.0459836
+0.0464544
+0.0448146
+0.0426793
+0.04055
+0.0384276
+0.0363132
+0.0342085
+0.0321153
+0.0300359
+0.027967
+0.0258981
+0.0237822
+0.0216656
+0.0195654
+0.0174873
+0.0154141
+0.0133758
+0.0113943
+0.009505
+0.00775831
+0.00608695
+0.00467575
+0.0034186
+0.00211084
+0.00108047
+6.26303e-06
+3.28434e-05
+-0.00126753
+-0.00125727
+-0.00150403
+-0.000968921
+0.000816804
+0.00259722
+0.0039767
+0.00555714
+0.00715369
+0.008844
+0.0106507
+0.0124613
+0.014001
+0.0121745
+0.0104788
+0.00881865
+0.00719702
+0.00581957
+0.00487595
+0.00464917
+0.00494146
+0.00573372
+0.00636881
+0.00616204
+0.00654547
+0.00738359
+0.00865381
+0.0102218
+0.0109672
+0.0119413
+0.0132064
+0.0146456
+0.0162477
+0.0179699
+0.0197806
+0.0216617
+0.0235962
+0.0255721
+0.0275805
+0.0292357
+0.0285794
+0.0280791
+0.0277215
+0.0275317
+0.0275156
+0.0276735
+0.0280023
+0.0284911
+0.0291237
+0.0299038
+0.0308202
+0.0318611
+0.0395547
+0.0389646
+0.0384902
+0.0381167
+0.0378613
+0.0377316
+0.0377289
+0.0378532
+0.0381033
+0.0384766
+0.0389683
+0.0395534
+0.0402492
+0.0410502
+0.0419505
+0.0429438
+0.0440237
+0.0451842
+0.046419
+0.0477203
+0.0481166
+0.0467281
+0.0445768
+0.0424296
+0.040287
+0.03815
+0.0360194
+0.0338964
+0.0317826
+0.02968
+0.0275849
+0.0255026
+0.0234402
+0.0213005
+0.0191603
+0.0170329
+0.0149238
+0.012838
+0.0107703
+0.00874724
+0.00682846
+0.00507904
+0.00353456
+0.00215384
+0.000830317
+-0.000665001
+-0.000938567
+-0.000860815
+-0.00223329
+-0.00200937
+-0.00207697
+-0.00159195
+-0.000315254
+0.00143008
+0.00306377
+0.00464037
+0.00636921
+0.00809022
+0.00985263
+0.0117363
+0.013708
+0.0118893
+0.0100901
+0.00818183
+0.00644781
+0.00482385
+0.00359932
+0.00323529
+0.00367406
+0.00463652
+0.00504063
+0.0046841
+0.00507146
+0.00610657
+0.00757177
+0.00929353
+0.0100828
+0.0111302
+0.0124615
+0.0140014
+0.0156765
+0.0174503
+0.0193079
+0.0212262
+0.0231927
+0.0251963
+0.0272287
+0.0292839
+0.0303606
+0.0298871
+0.0295492
+0.0293712
+0.0293561
+0.0295041
+0.0298128
+0.0302772
+0.0308735
+0.0316105
+0.0324787
+0.0334681
+0.0414143
+0.040851
+0.0403987
+0.0400382
+0.0397952
+0.0396718
+0.0396692
+0.0397875
+0.0400254
+0.040381
+0.0408511
+0.0414147
+0.0420797
+0.0428466
+0.0437099
+0.044664
+0.0457033
+0.0468221
+0.0480149
+0.0492762
+0.0487634
+0.0466031
+0.0444458
+0.042292
+0.0401421
+0.0379969
+0.0358571
+0.033724
+0.0315987
+0.0294829
+0.0273727
+0.025273
+0.0231902
+0.0211291
+0.0190007
+0.0168531
+0.0147183
+0.0125986
+0.0104902
+0.00842321
+0.00643848
+0.00461514
+0.00296496
+0.00153785
+0.000193483
+-0.00100458
+-0.00140579
+-0.00168151
+-0.00159288
+-0.00146755
+-0.00168421
+-0.0021019
+-0.00114108
+0.000529118
+0.00228104
+0.00419709
+0.00588843
+0.00758307
+0.00942001
+0.0113718
+0.0133457
+0.0119456
+0.00997579
+0.00803502
+0.0061924
+0.00453121
+0.0031456
+0.00260342
+0.00328165
+0.00436733
+0.00414241
+0.00354358
+0.00394644
+0.00522463
+0.00689367
+0.00876228
+0.00958443
+0.0106808
+0.0120618
+0.0136469
+0.0153715
+0.0171709
+0.0190524
+0.020994
+0.0229804
+0.025001
+0.0270481
+0.0291161
+0.0312008
+0.0317413
+0.0314233
+0.031256
+0.0312418
+0.0313809
+0.0316713
+0.0321089
+0.0326765
+0.0333737
+0.0341972
+0.0351382
+0.0433049
+0.0427665
+0.04233
+0.0419861
+0.0417544
+0.0416369
+0.0416344
+0.0417471
+0.0419739
+0.0423131
+0.042762
+0.0433068
+0.0439432
+0.0446781
+0.0455067
+0.0464239
+0.0474247
+0.0485038
+0.0496562
+0.0508768
+0.0487423
+0.046581
+0.0444226
+0.0422676
+0.0401164
+0.0379697
+0.0358284
+0.0336934
+0.031566
+0.0294479
+0.027335
+0.0252322
+0.0231457
+0.0210803
+0.019043
+0.0169486
+0.0148176
+0.012707
+0.0106288
+0.00860667
+0.00666243
+0.00491451
+0.00349692
+0.00220185
+0.00137208
+0.00105419
+0.000696465
+0.000423147
+0.000545205
+0.00060892
+0.000364087
+4.28928e-05
+0.000341083
+0.00116147
+0.00255617
+0.00437603
+0.00594827
+0.00758053
+0.00940393
+0.0113391
+0.0133381
+0.0122297
+0.0102696
+0.00838007
+0.00661245
+0.00504019
+0.00371473
+0.00311921
+0.00364127
+0.00495427
+0.00405362
+0.00329674
+0.00367358
+0.0050203
+0.00670986
+0.00862472
+0.00957382
+0.0106713
+0.0120534
+0.0136394
+0.0153649
+0.017165
+0.0190471
+0.0209892
+0.022976
+0.0249969
+0.0270443
+0.0291126
+0.0311975
+0.0332961
+0.0333361
+0.0331784
+0.0331651
+0.0332961
+0.03357
+0.0339831
+0.0344762
+0.0347543
+0.035167
+0.0357095
+0.0452226
+0.0447073
+0.0442855
+0.0439568
+0.0437356
+0.0436234
+0.043621
+0.0437286
+0.0439452
+0.0442693
+0.0446985
+0.0452259
+0.0458357
+0.0465407
+0.0473367
+0.0482191
+0.0491833
+0.0502247
+0.0513385
+0.05098
+0.0488195
+0.0466619
+0.0445074
+0.0423567
+0.0402102
+0.0380689
+0.0359334
+0.0338051
+0.0316851
+0.0295745
+0.0274719
+0.0253811
+0.023308
+0.0212584
+0.0192399
+0.0172235
+0.0151313
+0.0130715
+0.011062
+0.00913618
+0.00736006
+0.0058166
+0.004579
+0.00368964
+0.00324106
+0.00313016
+0.00284191
+0.00257651
+0.00261761
+0.00270462
+0.00246838
+0.00221454
+0.00240506
+0.00298568
+0.00385251
+0.00531227
+0.00657728
+0.00807043
+0.0097965
+0.0116667
+0.0136177
+0.0128528
+0.0109587
+0.0091688
+0.00756227
+0.006128
+0.00501426
+0.00452803
+0.0048811
+0.00600396
+0.00481011
+0.00414874
+0.00439181
+0.00555798
+0.00712083
+0.00894817
+0.00998067
+0.0110378
+0.012384
+0.0139444
+0.01564
+0.0174175
+0.0192802
+0.0212057
+0.0231782
+0.0251842
+0.0272175
+0.0292735
+0.0313478
+0.0334369
+0.0352812
+0.0351322
+0.0351196
+0.0349569
+0.0348469
+0.0348744
+0.0350375
+0.0353123
+0.0357185
+0.0362528
+0.047164
+0.0466702
+0.046262
+0.0459475
+0.0457359
+0.0456286
+0.0456264
+0.0457292
+0.0459364
+0.0462465
+0.0466576
+0.0471669
+0.0477537
+0.0484307
+0.0491961
+0.0500458
+0.0509755
+0.051981
+0.0530579
+0.0511455
+0.0489907
+0.0468391
+0.0446913
+0.0425479
+0.0404096
+0.0382772
+0.0361518
+0.0340346
+0.0319274
+0.0298322
+0.0277517
+0.0256896
+0.0236504
+0.0216288
+0.0196405
+0.0177001
+0.0157464
+0.0137788
+0.0118895
+0.0101224
+0.00851096
+0.00718182
+0.00610189
+0.00547708
+0.00528968
+0.00525572
+0.00499634
+0.00470953
+0.00469918
+0.00482078
+0.00461331
+0.00439669
+0.00454041
+0.00500467
+0.00563612
+0.00667728
+0.0077023
+0.00901199
+0.0105965
+0.0123674
+0.014233
+0.0136395
+0.0119274
+0.0102968
+0.00884549
+0.00760115
+0.00668257
+0.00629164
+0.00654124
+0.00729086
+0.00619689
+0.00564485
+0.00582583
+0.00675385
+0.00812334
+0.00976484
+0.0108051
+0.0117885
+0.0130576
+0.0145459
+0.0161911
+0.0179149
+0.0197307
+0.0216161
+0.0235544
+0.0255335
+0.0275447
+0.0295814
+0.0316387
+0.0337127
+0.0358007
+0.0361639
+0.0358426
+0.0356206
+0.0355126
+0.0355396
+0.0357012
+0.035976
+0.0363749
+0.0368996
+0.0491265
+0.0486526
+0.048257
+0.0479556
+0.0477529
+0.0476502
+0.047648
+0.0477465
+0.047945
+0.0482422
+0.0486364
+0.0491252
+0.0496942
+0.0503452
+0.0510819
+0.0519007
+0.0527977
+0.0537691
+0.0535362
+0.0513882
+0.0492439
+0.0471039
+0.0449688
+0.0428393
+0.0407163
+0.0386008
+0.0364943
+0.0343982
+0.0323147
+0.0302463
+0.0281964
+0.0261694
+0.0241707
+0.0221966
+0.020264
+0.0183895
+0.0165876
+0.0147669
+0.0129852
+0.0113458
+0.00992157
+0.0087408
+0.00786939
+0.00735879
+0.00733681
+0.00740251
+0.00716196
+0.00680304
+0.00681256
+0.00697626
+0.00677635
+0.00657883
+0.00670841
+0.00711117
+0.00757959
+0.0083098
+0.00914938
+0.0103044
+0.0117305
+0.0133424
+0.0150897
+0.0147132
+0.0131416
+0.0116775
+0.0103955
+0.0093218
+0.00855168
+0.0082498
+0.00844682
+0.00881439
+0.00790131
+0.00743074
+0.00756914
+0.00830458
+0.00947339
+0.0109337
+0.0119785
+0.0128725
+0.014044
+0.0154375
+0.0169966
+0.0186509
+0.0204057
+0.0222357
+0.0241243
+0.0260602
+0.0280336
+0.0300372
+0.0320652
+0.0341134
+0.0361782
+0.0369337
+0.0366187
+0.0364042
+0.0362986
+0.036325
+0.0364831
+0.0367521
+0.0371426
+0.0376566
+0.0511074
+0.0506508
+0.0502684
+0.0499791
+0.0497846
+0.0496861
+0.049684
+0.0497785
+0.0499689
+0.0502541
+0.0506327
+0.0511024
+0.0516547
+0.0522813
+0.0529911
+0.0537808
+0.054647
+0.0555861
+0.0538573
+0.0517226
+0.0495928
+0.0474685
+0.0453506
+0.0432398
+0.0411375
+0.0390449
+0.0369636
+0.0348958
+0.0328438
+0.030811
+0.0288013
+0.0268201
+0.0248737
+0.0229601
+0.0210926
+0.0192917
+0.0175795
+0.0158851
+0.014242
+0.0127644
+0.0114792
+0.0104499
+0.009733
+0.00936897
+0.00934318
+0.00949969
+0.00933883
+0.00892453
+0.00892852
+0.00914847
+0.00891927
+0.00876289
+0.00888728
+0.00919285
+0.00960187
+0.0100403
+0.0107985
+0.0118181
+0.0130866
+0.0145577
+0.0161919
+0.0160161
+0.0145856
+0.0132379
+0.0121043
+0.0111842
+0.0105418
+0.0102984
+0.0104639
+0.0105317
+0.00977618
+0.00938357
+0.00949354
+0.0100897
+0.0110619
+0.0123356
+0.0133993
+0.0142042
+0.0152829
+0.0165725
+0.0180338
+0.0196007
+0.0212774
+0.0230404
+0.0248715
+0.0267563
+0.0286819
+0.0306431
+0.0326335
+0.0346481
+0.0366829
+0.0378144
+0.0375057
+0.0372999
+0.0371971
+0.0372228
+0.0373772
+0.0376398
+0.0380212
+0.0385235
+0.0531049
+0.0526619
+0.0522941
+0.0520161
+0.0518293
+0.0517346
+0.0517326
+0.0518234
+0.0520063
+0.0522804
+0.0526444
+0.0530963
+0.0536329
+0.0542368
+0.0549213
+0.0556837
+0.0565207
+0.0563885
+0.054265
+0.0521469
+0.0500352
+0.0479305
+0.0458339
+0.0437466
+0.0416698
+0.0396053
+0.0375551
+0.0355217
+0.0335081
+0.0315182
+0.0295566
+0.0276296
+0.0257416
+0.0238896
+0.0220994
+0.0203876
+0.0187756
+0.0171835
+0.015677
+0.014348
+0.0131955
+0.0123053
+0.0117026
+0.0114194
+0.0113947
+0.0116314
+0.0113959
+0.011073
+0.0110568
+0.0113278
+0.0110737
+0.0109493
+0.0110706
+0.0113158
+0.0115742
+0.011922
+0.0126027
+0.0134859
+0.0146372
+0.0159743
+0.017477
+0.0174884
+0.0161626
+0.0149342
+0.0139392
+0.0131456
+0.0125789
+0.0123756
+0.0125122
+0.0123755
+0.0117385
+0.0114136
+0.0115042
+0.0120009
+0.0128291
+0.0139423
+0.0150059
+0.0157288
+0.0167097
+0.0179047
+0.0192652
+0.0207393
+0.0223306
+0.0240165
+0.0257784
+0.0276017
+0.0294752
+0.0313868
+0.0333328
+0.0353076
+0.0373064
+0.0387989
+0.0384918
+0.0382909
+0.0382002
+0.0382253
+0.0383757
+0.0386315
+0.0390031
+0.039493
+0.055117
+0.0546867
+0.0543326
+0.0540651
+0.0538854
+0.0537944
+0.0537925
+0.0538797
+0.0540557
+0.0543195
+0.0546699
+0.0551052
+0.0556234
+0.0562096
+0.0568704
+0.057607
+0.0584165
+0.0568625
+0.0547573
+0.0526591
+0.0505687
+0.0484872
+0.0464158
+0.0443558
+0.0423089
+0.0402772
+0.0382631
+0.0362694
+0.0342997
+0.0323585
+0.0304511
+0.0285843
+0.026753
+0.0249759
+0.0232694
+0.0216503
+0.0201292
+0.0186495
+0.0172714
+0.016063
+0.0150284
+0.0142561
+0.0137393
+0.0135135
+0.01349
+0.0137542
+0.0134517
+0.0132062
+0.0132055
+0.0134731
+0.01324
+0.0131369
+0.0132562
+0.0133878
+0.0136069
+0.0138923
+0.0145066
+0.0152862
+0.016311
+0.0175318
+0.0189133
+0.0190833
+0.0178526
+0.0167456
+0.0158647
+0.0151481
+0.0146559
+0.0144818
+0.0146018
+0.0143174
+0.0137669
+0.0134911
+0.0135678
+0.0139914
+0.0147106
+0.0156909
+0.0167413
+0.0173922
+0.018284
+0.0193835
+0.0206555
+0.0220374
+0.0235411
+0.025146
+0.0268338
+0.0285899
+0.0304025
+0.0322593
+0.0341556
+0.0360853
+0.0380433
+0.0398796
+0.0395744
+0.039379
+0.0393
+0.0393244
+0.0394706
+0.0397193
+0.0400809
+0.0405577
+0.0571423
+0.0567239
+0.0563826
+0.0561249
+0.0559518
+0.0558641
+0.0558623
+0.0559463
+0.0561157
+0.0563699
+0.0567076
+0.0571274
+0.0576275
+0.0581981
+0.0588365
+0.0595488
+0.0595079
+0.0574161
+0.055332
+0.0532565
+0.0511905
+0.0491354
+0.0470924
+0.0450634
+0.0430502
+0.0410552
+0.0390811
+0.0371314
+0.03521
+0.0333218
+0.0314729
+0.0296636
+0.0278999
+0.0262007
+0.0245794
+0.0230479
+0.0216008
+0.0202469
+0.018985
+0.0178579
+0.0169334
+0.0162534
+0.0158172
+0.0156222
+0.0156115
+0.0158466
+0.015533
+0.015342
+0.0153627
+0.015594
+0.0154133
+0.0153252
+0.0154431
+0.0154925
+0.0156501
+0.0158988
+0.0164383
+0.0171655
+0.0180955
+0.0192036
+0.0204751
+0.0207785
+0.0196392
+0.0186387
+0.0178514
+0.0171939
+0.0167619
+0.0166099
+0.0167174
+0.0163219
+0.0158294
+0.01559
+0.0156565
+0.0160249
+0.0166679
+0.0175391
+0.0185439
+0.0191336
+0.0199478
+0.0209602
+0.0221437
+0.0234684
+0.024886
+0.0264092
+0.028021
+0.0297071
+0.0314554
+0.0332534
+0.0350961
+0.0369767
+0.0388899
+0.0408309
+0.040746
+0.0405563
+0.0404807
+0.0405044
+0.0406463
+0.0408957
+0.041247
+0.0417105
+0.0591794
+0.0587721
+0.0584428
+0.0581942
+0.0580272
+0.0579427
+0.0579409
+0.0580219
+0.0581854
+0.0584305
+0.0587564
+0.0591617
+0.0596447
+0.0602005
+0.060818
+0.0615073
+0.0601171
+0.0580473
+0.0559867
+0.0539363
+0.0518974
+0.0498714
+0.0478599
+0.0458648
+0.0438884
+0.0419333
+0.0400026
+0.0381
+0.03623
+0.0343979
+0.0325983
+0.0308468
+0.0291548
+0.0275332
+0.0259952
+0.0245401
+0.0231863
+0.0219468
+0.0207642
+0.0197329
+0.0189004
+0.0182936
+0.0178968
+0.0177501
+0.0177499
+0.0179077
+0.0176011
+0.0174904
+0.0175225
+0.0177318
+0.0175908
+0.0175118
+0.0176308
+0.0176182
+0.0177285
+0.0179485
+0.0184281
+0.0190965
+0.01994
+0.0209713
+0.0221414
+0.0225518
+0.0215008
+0.0205909
+0.019881
+0.0192716
+0.0188871
+0.0187524
+0.0188501
+0.0183582
+0.0179223
+0.0177112
+0.0177697
+0.0180952
+0.0186737
+0.0194585
+0.0204221
+0.0209591
+0.0217048
+0.0226388
+0.0237388
+0.0249828
+0.0263446
+0.027788
+0.0293241
+0.0309392
+0.0326215
+0.0343586
+0.036145
+0.0379737
+0.039839
+0.0417359
+0.0419994
+0.0418153
+0.0417412
+0.0417642
+0.0419018
+0.042153
+0.042494
+0.0429441
+0.0612251
+0.0608302
+0.0605121
+0.060272
+0.0601109
+0.0600293
+0.0600276
+0.0601058
+0.0602635
+0.0605003
+0.0608151
+0.0612067
+0.0616737
+0.0622144
+0.0628133
+0.0628547
+0.0607991
+0.0587533
+0.0567184
+0.0546955
+0.052686
+0.0506915
+0.0487139
+0.0467552
+0.0448181
+0.0429054
+0.0410204
+0.0391673
+0.0373454
+0.0355579
+0.0338178
+0.0321328
+0.0305122
+0.0289667
+0.0275079
+0.026131
+0.0248639
+0.0237191
+0.0226105
+0.0216673
+0.0209119
+0.0203646
+0.0199994
+0.0198683
+0.0198996
+0.019986
+0.0196937
+0.0195932
+0.0196888
+0.0198812
+0.0197619
+0.0196955
+0.0198104
+0.0197581
+0.0198311
+0.020028
+0.0204589
+0.0210783
+0.0218455
+0.0227981
+0.0238926
+0.024393
+0.0234193
+0.0225868
+0.0219323
+0.0213718
+0.0210258
+0.0209049
+0.0209947
+0.0204241
+0.0200361
+0.0198474
+0.0198997
+0.0201909
+0.020711
+0.02143
+0.0223304
+0.0228488
+0.0235348
+0.0243988
+0.0254227
+0.0265881
+0.0278772
+0.0292659
+0.0307283
+0.0322732
+0.0338893
+0.0355645
+0.0372932
+0.0390682
+0.0408836
+0.0427342
+0.0433273
+0.0431489
+0.0430763
+0.0430986
+0.043232
+0.0434755
+0.0438152
+0.0442518
+0.0632793
+0.0628973
+0.0625897
+0.0623576
+0.0622019
+0.062123
+0.0621214
+0.0621969
+0.0623494
+0.0625783
+0.0628827
+0.0632615
+0.0637134
+0.064237
+0.0648213
+0.0635828
+0.0615516
+0.0595317
+0.0575243
+0.0555307
+0.0535526
+0.0515916
+0.0496499
+0.0477297
+0.0458337
+0.0439652
+0.042127
+0.0403136
+0.0385392
+0.0368097
+0.0351317
+0.0335128
+0.0319623
+0.0304903
+0.0291028
+0.0278036
+0.0266162
+0.0255397
+0.0245135
+0.0236464
+0.0229562
+0.0224517
+0.0221191
+0.0220006
+0.0220459
+0.0220764
+0.0218037
+0.0217126
+0.021842
+0.0220372
+0.0219339
+0.0218797
+0.0219552
+0.0218988
+0.021951
+0.022129
+0.0225197
+0.0230874
+0.0238001
+0.0246774
+0.0257112
+0.0262878
+0.0253794
+0.0246159
+0.0239997
+0.0234886
+0.0231742
+0.0230645
+0.0230592
+0.0225137
+0.0221648
+0.0219944
+0.0220416
+0.0223048
+0.0227767
+0.0234405
+0.0242664
+0.0247881
+0.0254218
+0.0262237
+0.027179
+0.0282721
+0.0294876
+0.0308112
+0.0322203
+0.0336969
+0.0352478
+0.0368613
+0.0385319
+0.0402523
+0.0420166
+0.0438193
+0.0447231
+0.0445503
+0.0444793
+0.0445008
+0.04463
+0.044866
+0.045202
+0.0456253
+0.0653423
+0.0649725
+0.0646748
+0.0644502
+0.0642995
+0.0642233
+0.0642217
+0.0642948
+0.0644423
+0.0646637
+0.0649583
+0.0653251
+0.0657629
+0.0662702
+0.0663944
+0.0643773
+0.062372
+0.0603795
+0.0584013
+0.0564387
+0.0544935
+0.0525677
+0.0506633
+0.0487831
+0.0469297
+0.0451
+0.0433001
+0.0415377
+0.0398179
+0.0381463
+0.0365298
+0.0349757
+0.0334929
+0.0320913
+0.0307698
+0.029544
+0.0284293
+0.0274141
+0.0264608
+0.0256595
+0.0250249
+0.024555
+0.0242513
+0.0241432
+0.0241875
+0.0241748
+0.0239273
+0.0238449
+0.0239628
+0.0241966
+0.0241094
+0.0240643
+0.0241083
+0.0240411
+0.0240835
+0.0242459
+0.024603
+0.0251241
+0.0257927
+0.0266043
+0.0275665
+0.0282256
+0.0273727
+0.0266706
+0.0260872
+0.0256178
+0.0253299
+0.0252296
+0.0251206
+0.0246208
+0.0242995
+0.0241442
+0.0241872
+0.0244273
+0.0248589
+0.0254723
+0.0262424
+0.0267663
+0.0273542
+0.028101
+0.0289945
+0.0300215
+0.0311689
+0.0324239
+0.0337745
+0.0351994
+0.0366869
+0.0382397
+0.0398525
+0.0415183
+0.0432309
+0.044985
+0.0461807
+0.0460134
+0.0459439
+0.0459648
+0.0460899
+0.0463184
+0.0466483
+0.0470593
+0.0674134
+0.067055
+0.0667666
+0.0665491
+0.0664032
+0.0663293
+0.0663278
+0.0663985
+0.0665414
+0.0667559
+0.0670413
+0.0673968
+0.0678212
+0.0683132
+0.0672271
+0.0652358
+0.0632577
+0.061294
+0.0593462
+0.057416
+0.055505
+0.0536155
+0.0517498
+0.0499081
+0.0480885
+0.0463011
+0.0445498
+0.0428389
+0.0411734
+0.0395592
+0.0380028
+0.0365115
+0.0350937
+0.0337544
+0.0324991
+0.031341
+0.0302923
+0.0293276
+0.0284384
+0.0276944
+0.0271075
+0.0266678
+0.0263884
+0.0262891
+0.0263371
+0.0262847
+0.0260601
+0.0259868
+0.0260951
+0.0263607
+0.0262873
+0.0262493
+0.0262662
+0.0261913
+0.0262256
+0.0263748
+0.0267035
+0.0271847
+0.027815
+0.0285693
+0.0294674
+0.0301913
+0.0293942
+0.0287402
+0.0281904
+0.0277566
+0.0274911
+0.0273987
+0.0271988
+0.0267378
+0.0264412
+0.0262986
+0.026338
+0.0265587
+0.0269562
+0.0275229
+0.0282485
+0.0287752
+0.0293229
+0.0300208
+0.0308587
+0.0318257
+0.0329102
+0.0341012
+0.0353878
+0.0367601
+0.0381975
+0.0396913
+0.0412473
+0.0428589
+0.04452
+0.0462252
+0.0476944
+0.0475325
+0.0474645
+0.0474847
+0.0476058
+0.0478271
+0.0481471
+0.0485498
+0.0694919
+0.0691443
+0.0688646
+0.0686537
+0.0685123
+0.0684407
+0.0684392
+0.0685078
+0.0686463
+0.0688542
+0.069131
+0.0694757
+0.0698875
+0.0700979
+0.0681201
+0.0661556
+0.0642059
+0.0622721
+0.0603559
+0.058459
+0.0565833
+0.054731
+0.0528972
+0.0510902
+0.0493142
+0.0475729
+0.0458701
+0.0442103
+0.0425986
+0.0410404
+0.0395424
+0.0381114
+0.0367527
+0.0354735
+0.0342811
+0.0331853
+0.0321967
+0.0312761
+0.0304439
+0.0297501
+0.0292046
+0.02879
+0.0285313
+0.0284396
+0.028493
+0.0284068
+0.0282
+0.0281363
+0.0282363
+0.0285048
+0.0284672
+0.0284347
+0.028417
+0.0283478
+0.028375
+0.0285131
+0.0288174
+0.0292643
+0.0298527
+0.0305593
+0.0314011
+0.0321848
+0.0314383
+0.0308192
+0.030306
+0.0299029
+0.0296566
+0.029571
+0.0292905
+0.028863
+0.0285903
+0.0284585
+0.0284949
+0.028699
+0.0290673
+0.0295935
+0.0302696
+0.030809
+0.0313211
+0.0319754
+0.0327634
+0.0336757
+0.0347025
+0.0358339
+0.0370604
+0.0383729
+0.0397629
+0.0412082
+0.042709
+0.0442674
+0.0458775
+0.0475341
+0.0492324
+0.0491023
+0.0490358
+0.0490554
+0.0491726
+0.0493868
+0.0496968
+0.0500918
+0.0715771
+0.0712396
+0.0709682
+0.0707636
+0.0706264
+0.0705569
+0.0705555
+0.070622
+0.0707563
+0.0709581
+0.0712267
+0.0715614
+0.0719612
+0.0710224
+0.069071
+0.0671344
+0.0652139
+0.063311
+0.0614272
+0.0595644
+0.057721
+0.0558982
+0.0541027
+0.0523373
+0.0506051
+0.0489098
+0.0472552
+0.0456458
+0.0440865
+0.0425829
+0.041141
+0.0397663
+0.0384625
+0.0372421
+0.0361082
+0.0350694
+0.0341354
+0.0332548
+0.0324734
+0.0318239
+0.0313135
+0.0309217
+0.030681
+0.0305957
+0.0306539
+0.0305322
+0.0303463
+0.0302917
+0.0303846
+0.0306343
+0.030642
+0.0306209
+0.0305734
+0.0305089
+0.0305302
+0.0306588
+0.030942
+0.0313587
+0.0319076
+0.0325676
+0.0333587
+0.0342025
+0.033501
+0.0329125
+0.0324316
+0.0320552
+0.0318256
+0.0317458
+0.0313957
+0.0309972
+0.0307453
+0.0306227
+0.0306566
+0.0308464
+0.0311893
+0.0316804
+0.0323128
+0.0328629
+0.0333435
+0.0339588
+0.0347018
+0.0355644
+0.0365382
+0.0376144
+0.0387847
+0.0400407
+0.0413746
+0.0427792
+0.0442309
+0.0457375
+0.0472976
+0.048906
+0.0505583
+0.0507182
+0.0506532
+0.0506721
+0.0507856
+0.0509931
+0.0512933
+0.0516806
+0.0736683
+0.0733405
+0.0730769
+0.0728782
+0.072745
+0.0726775
+0.0726761
+0.0727407
+0.0728712
+0.0730671
+0.0733279
+0.0736531
+0.0739406
+0.0720016
+0.0700776
+0.0681696
+0.0662791
+0.0644076
+0.0625562
+0.0607206
+0.0589092
+0.0571243
+0.0553686
+0.0536449
+0.0519563
+0.0503066
+0.0486995
+0.0471394
+0.0456312
+0.0441801
+0.042792
+0.0414676
+0.040219
+0.0390535
+0.0379737
+0.0369874
+0.036101
+0.0352586
+0.0345226
+0.0339123
+0.0334285
+0.0330611
+0.0328361
+0.0327564
+0.0328186
+0.0326533
+0.0324985
+0.0324518
+0.0325386
+0.0327718
+0.032773
+0.0328077
+0.0327323
+0.0326709
+0.032682
+0.0328105
+0.0330752
+0.0334626
+0.0339775
+0.034598
+0.0353437
+0.0362068
+0.0355789
+0.0350177
+0.0345647
+0.0342118
+0.0339967
+0.033922
+0.0335119
+0.0331389
+0.0329047
+0.0327905
+0.0328221
+0.0329995
+0.0333203
+0.0337803
+0.0343741
+0.0349334
+0.0353859
+0.0359663
+0.0366686
+0.037486
+0.0384111
+0.0394363
+0.040554
+0.0417568
+0.0430376
+0.0443896
+0.0458065
+0.0472634
+0.0487747
+0.050336
+0.0519428
+0.0523758
+0.0523123
+0.0523306
+0.0524405
+0.0526414
+0.0529324
+0.0533115
+0.0757652
+0.0754465
+0.0751903
+0.0749972
+0.0748677
+0.0748022
+0.0748009
+0.0748636
+0.0749904
+0.0751807
+0.0754343
+0.0757504
+0.0749457
+0.0730335
+0.0711373
+0.0692586
+0.0673986
+0.0655544
+0.0637297
+0.0619288
+0.0601537
+0.0584069
+0.0566909
+0.0550087
+0.0533633
+0.0517584
+0.0501978
+0.0486858
+0.047227
+0.0458265
+0.0444854
+0.043213
+0.0420163
+0.040902
+0.0398723
+0.0389341
+0.0380841
+0.0372834
+0.0365881
+0.0360129
+0.035552
+0.0352069
+0.0349957
+0.0349209
+0.0349834
+0.0347826
+0.034645
+0.0346145
+0.0346971
+0.034916
+0.0349113
+0.0349524
+0.0348922
+0.0348176
+0.034825
+0.0349632
+0.0352122
+0.0355765
+0.0360616
+0.0366469
+0.0373517
+0.0381694
+0.0376643
+0.0371328
+0.0366989
+0.0363668
+0.0361645
+0.0360498
+0.0356371
+0.0352865
+0.0350677
+0.0349611
+0.0349908
+0.0351572
+0.0354585
+0.0358911
+0.0364506
+0.0370178
+0.0374451
+0.0379941
+0.0386596
+0.0394357
+0.0403161
+0.041294
+0.0423627
+0.0435156
+0.044746
+0.0460479
+0.0474153
+0.04884
+0.0503039
+0.0518191
+0.0533813
+0.0540714
+0.0540093
+0.054027
+0.0541335
+0.0543282
+0.0546101
+0.0549779
+0.0778673
+0.0775572
+0.077308
+0.0771202
+0.0769943
+0.0769306
+0.0769293
+0.0769903
+0.0771135
+0.0772987
+0.0775453
+0.0778528
+0.0760008
+0.0741158
+0.072248
+0.0703971
+0.0685613
+0.066747
+0.0649558
+0.0631898
+0.0614512
+0.0597423
+0.0580658
+0.0564246
+0.0548217
+0.0532608
+0.0517455
+0.05028
+0.0488689
+0.0475136
+0.0462207
+0.0449973
+0.0438494
+0.0427828
+0.0417995
+0.0409056
+0.0400887
+0.039326
+0.0386675
+0.0381236
+0.0376833
+0.0373578
+0.0371589
+0.0370885
+0.0371311
+0.036918
+0.0367921
+0.0367634
+0.0368503
+0.0370566
+0.0370558
+0.0370945
+0.0370453
+0.0369672
+0.0369736
+0.0371045
+0.0373408
+0.0376992
+0.0381577
+0.0387113
+0.0393764
+0.0401294
+0.0397593
+0.0392562
+0.0388394
+0.0385257
+0.0383349
+0.0381758
+0.0377697
+0.0374392
+0.0372338
+0.0371341
+0.0371621
+0.0373188
+0.0376027
+0.038011
+0.0385397
+0.0391138
+0.0395184
+0.040039
+0.0406711
+0.0414095
+0.0422488
+0.0431829
+0.044206
+0.045312
+0.0464949
+0.0477492
+0.0490691
+0.0504498
+0.0518806
+0.053351
+0.0548696
+0.0558016
+0.0557407
+0.0557579
+0.0558611
+0.0560498
+0.0563231
+0.0566798
+0.0799741
+0.0796722
+0.0794296
+0.0792468
+0.0791243
+0.0790624
+0.0790611
+0.0791205
+0.0792404
+0.0794206
+0.0796606
+0.0789781
+0.0771037
+0.0752463
+0.0734018
+0.071576
+0.0697713
+0.0679892
+0.0662317
+0.0645006
+0.0627983
+0.0611271
+0.0594896
+0.0578888
+0.0563276
+0.0548096
+0.0533383
+0.0519178
+0.0505502
+0.0492396
+0.0479932
+0.0468162
+0.0457139
+0.0446919
+0.0437515
+0.0428982
+0.0421118
+0.0413838
+0.0407585
+0.0402429
+0.039821
+0.0395132
+0.0393251
+0.0392586
+0.0392592
+0.0390583
+0.038944
+0.0389169
+0.0390037
+0.0391987
+0.0392054
+0.039242
+0.0391951
+0.0391213
+0.0391269
+0.0392506
+0.0394761
+0.0398172
+0.0402635
+0.0407824
+0.0413941
+0.0421109
+0.0418642
+0.0413866
+0.0409853
+0.0406881
+0.0405074
+0.0402972
+0.0399087
+0.039596
+0.0394024
+0.0393091
+0.0393355
+0.0394836
+0.0397521
+0.0401385
+0.0406395
+0.0412196
+0.0416038
+0.0420986
+0.0427002
+0.0434041
+0.0442055
+0.0450992
+0.0460797
+0.0471418
+0.0482799
+0.0494889
+0.0507637
+0.0520994
+0.0534915
+0.0549276
+0.0564037
+0.057563
+0.0575035
+0.0575202
+0.0576202
+0.0578031
+0.0580682
+0.0584142
+0.0820853
+0.0817912
+0.0815549
+0.0813769
+0.0812576
+0.0811973
+0.081196
+0.0812539
+0.0813706
+0.0815461
+0.0817799
+0.0800999
+0.0782495
+0.0764139
+0.0745976
+0.0728018
+0.0710282
+0.0692785
+0.0675545
+0.0658583
+0.0641919
+0.062558
+0.060959
+0.0593977
+0.0578773
+0.0564009
+0.0549723
+0.0535939
+0.0522678
+0.0510013
+0.049799
+0.0486657
+0.0476063
+0.0466258
+0.0457252
+0.0449016
+0.0441504
+0.0434545
+0.0428595
+0.0423676
+0.0419642
+0.0416722
+0.0414939
+0.0414309
+0.0413937
+0.0412033
+0.0411
+0.0410743
+0.0411611
+0.0413459
+0.041359
+0.041394
+0.0413493
+0.0412794
+0.0412841
+0.0414014
+0.0416172
+0.0419409
+0.0423568
+0.0428458
+0.0434285
+0.0441123
+0.0439774
+0.043523
+0.0431356
+0.0428534
+0.0426819
+0.042425
+0.042053
+0.0417563
+0.0415731
+0.0414857
+0.0415107
+0.0416511
+0.0419057
+0.0422724
+0.0427484
+0.04333
+0.0436995
+0.0441708
+0.0447445
+0.0454168
+0.0461833
+0.0470394
+0.0479803
+0.0490012
+0.0500971
+0.0512632
+0.0524949
+0.0537877
+0.0551372
+0.0565394
+0.0579801
+0.0593531
+0.0592948
+0.059311
+0.059408
+0.0595854
+0.0598426
+0.0601785
+0.0842005
+0.0839139
+0.0836836
+0.0835101
+0.0833939
+0.0833351
+0.0833339
+0.0833902
+0.083504
+0.083675
+0.0831031
+0.0812591
+0.0794327
+0.0776251
+0.0758378
+0.0740721
+0.0723297
+0.0706122
+0.0689216
+0.0672598
+0.0656291
+0.0640318
+0.0624705
+0.060948
+0.0594672
+0.0580314
+0.0566434
+0.0553037
+0.0540195
+0.0527951
+0.0516346
+0.0505425
+0.0495232
+0.0485814
+0.0477177
+0.0469218
+0.046201
+0.0455365
+0.044969
+0.044496
+0.044112
+0.0438343
+0.0436649
+0.043605
+0.0435339
+0.0433528
+0.0432595
+0.0432351
+0.0433208
+0.0434974
+0.0435148
+0.0435498
+0.0435071
+0.0434406
+0.0434446
+0.0435561
+0.0437632
+0.0440711
+0.0444549
+0.0449213
+0.0454774
+0.0461309
+0.0460978
+0.0456622
+0.0452898
+0.0450211
+0.0448579
+0.0445588
+0.0442018
+0.0439197
+0.0437456
+0.0436637
+0.0436875
+0.0438209
+0.0440629
+0.0444118
+0.0448651
+0.0454197
+0.045804
+0.0462539
+0.0468021
+0.0474452
+0.0481794
+0.0490007
+0.0499047
+0.0508869
+0.0519431
+0.0530687
+0.0542594
+0.0555111
+0.0568197
+0.0581814
+0.0595925
+0.0610371
+0.0611122
+0.0611278
+0.061222
+0.0613942
+0.0616438
+0.0619699
+0.0919513
+0.0900739
+0.088211
+0.0863635
+0.0845323
+0.0827186
+0.0809236
+0.0791486
+0.0773948
+0.0756638
+0.0739572
+0.0722766
+0.0706241
+0.0690015
+0.0674111
+0.0658549
+0.0643232
+0.0628304
+0.0613796
+0.0599737
+0.058616
+0.0573099
+0.056059
+0.054867
+0.053738
+0.0526759
+0.0516849
+0.0507691
+0.0499328
+0.0491798
+0.0485142
+0.0479395
+0.0474587
+0.047036
+0.0467008
+0.0464581
+0.0463179
+0.0462811
+0.0463479
+0.0465179
+0.0466748
+0.0469034
+0.0472309
+0.047631
+0.0481226
+0.0487078
+0.0493694
+0.0501134
+0.0509407
+0.0518361
+0.0525541
+0.0533525
+0.0542277
+0.0551754
+0.0561766
+0.0572442
+0.0583746
+0.0595387
+0.0607538
+0.0620091
+0.0632111
+0.0644651
+0.0657683
+0.0660848
+0.0653753
+0.0647322
+0.0641574
+0.0636529
+0.0632204
+0.0628612
+0.0625767
+0.062368
+0.0622356
+0.0621803
+0.062202
+0.0622869
+0.0624476
+0.0626845
+0.0629967
+0.0633642
+0.0637946
+0.0642968
+0.064834
+0.0654324
+0.0660981
+0.0668289
+0.0675256
+0.0682594
+0.0690549
+0.0699098
+0.0708101
+0.0717653
+0.072774
+0.0738339
+0.0749345
+0.0760781
+0.077267
+0.0784989
+0.0797721
+0.0810844
+0.0909834
+0.0890856
+0.0872016
+0.0853322
+0.0834784
+0.0816413
+0.0798221
+0.078022
+0.0762423
+0.0744845
+0.0727502
+0.0710411
+0.0693592
+0.0677063
+0.0660847
+0.0644968
+0.062945
+0.0614202
+0.0599353
+0.0584947
+0.0571018
+0.0557602
+0.0544738
+0.0532463
+0.0520822
+0.0509856
+0.0499611
+0.0490132
+0.0481463
+0.0473649
+0.0466604
+0.0460223
+0.0454809
+0.0450396
+0.044693
+0.0444394
+0.0442928
+0.0442543
+0.0443241
+0.0445018
+0.0447591
+0.0449968
+0.0453229
+0.0457345
+0.0462462
+0.0468462
+0.0475287
+0.048301
+0.0491589
+0.0498548
+0.0506009
+0.0514296
+0.052337
+0.0533093
+0.0543449
+0.0554478
+0.0565983
+0.0577922
+0.0590433
+0.0602263
+0.0614632
+0.0627522
+0.0640902
+0.0646731
+0.0639479
+0.0632903
+0.0627024
+0.0621861
+0.0617432
+0.0613754
+0.061084
+0.0608701
+0.0607345
+0.0606778
+0.0607001
+0.0607864
+0.0609511
+0.0611938
+0.0614954
+0.0618612
+0.062302
+0.0628147
+0.0633565
+0.0639687
+0.0646495
+0.0652846
+0.0659706
+0.0667215
+0.0675351
+0.068402
+0.0693212
+0.0702955
+0.0713235
+0.0723992
+0.073517
+0.0746824
+0.0758932
+0.0771472
+0.078438
+0.0797287
+0.0900583
+0.0881406
+0.086236
+0.0843452
+0.0824692
+0.0806091
+0.0787661
+0.0769412
+0.075136
+0.0733517
+0.0715899
+0.0698525
+0.0681412
+0.066458
+0.0648052
+0.0631851
+0.0616004
+0.0600537
+0.0585373
+0.0570615
+0.0556327
+0.0542548
+0.0529318
+0.0516677
+0.0504672
+0.0493347
+0.0482752
+0.0472935
+0.0463687
+0.0455161
+0.0447546
+0.0440889
+0.0435234
+0.0430621
+0.0427032
+0.0424376
+0.0422841
+0.0422438
+0.0423169
+0.0425031
+0.0428006
+0.043114
+0.0434361
+0.0438653
+0.0443959
+0.0450089
+0.0457189
+0.0465212
+0.0472044
+0.0478917
+0.0486679
+0.049529
+0.0504692
+0.0514687
+0.0525406
+0.0536756
+0.0548457
+0.0560769
+0.0572536
+0.0584713
+0.0597445
+0.0610698
+0.0624439
+0.0633057
+0.0625647
+0.0618924
+0.061291
+0.0607627
+0.0603095
+0.0599329
+0.0596344
+0.0594153
+0.0592764
+0.0592182
+0.0592368
+0.0593249
+0.0594895
+0.0597226
+0.0600255
+0.0604003
+0.0608517
+0.0613668
+0.0619212
+0.0625475
+0.0631161
+0.0637502
+0.0644525
+0.0652209
+0.0660413
+0.0669197
+0.0678574
+0.0688521
+0.0698961
+0.0709858
+0.0721256
+0.0733132
+0.0745462
+0.0758218
+0.0771096
+0.0783599
+0.0891775
+0.0872405
+0.0853157
+0.083404
+0.0815064
+0.0796239
+0.0777575
+0.0759084
+0.0740779
+0.0722675
+0.0704787
+0.0687132
+0.0669727
+0.0652595
+0.0635755
+0.0619233
+0.0603053
+0.0587246
+0.057184
+0.0556776
+0.0542124
+0.0527974
+0.0514369
+0.0501352
+0.048897
+0.0477273
+0.046593
+0.0455343
+0.0445582
+0.0436703
+0.042876
+0.0421807
+0.0415893
+0.0411063
+0.0407339
+0.0404555
+0.0402944
+0.0402521
+0.0403289
+0.0405241
+0.0408361
+0.0412425
+0.0415791
+0.0420273
+0.0425656
+0.0432046
+0.0439437
+0.0446118
+0.0452324
+0.0459492
+0.0467577
+0.0476533
+0.0486198
+0.0496566
+0.0507668
+0.0519168
+0.0531256
+0.054295
+0.0554911
+0.0567466
+0.0580577
+0.0594206
+0.0608221
+0.0619833
+0.0612286
+0.0605415
+0.0599266
+0.0593862
+0.0589223
+0.0585368
+0.0582312
+0.0580067
+0.0578644
+0.0578013
+0.0578086
+0.0578946
+0.0580515
+0.0582904
+0.0586008
+0.0589846
+0.0594467
+0.0599585
+0.0605241
+0.0610279
+0.0616056
+0.0622551
+0.0629716
+0.0637418
+0.0645771
+0.0654752
+0.0664333
+0.0674423
+0.068501
+0.0696125
+0.0707744
+0.0719843
+0.0732397
+0.0745272
+0.0757569
+0.0770292
+0.0883423
+0.0863865
+0.0844423
+0.0825104
+0.0805917
+0.0786873
+0.0767981
+0.0749253
+0.0730703
+0.0712343
+0.0694188
+0.0676256
+0.0658565
+0.0641134
+0.0623985
+0.0607142
+0.0590632
+0.0574482
+0.0558725
+0.0543395
+0.0528447
+0.0513921
+0.0499927
+0.0486237
+0.0473165
+0.0460762
+0.0448986
+0.043799
+0.0427833
+0.0418578
+0.0410285
+0.0403013
+0.0396818
+0.0391753
+0.038786
+0.038496
+0.0383267
+0.0382822
+0.0383629
+0.0385681
+0.0388958
+0.0393429
+0.0397516
+0.0402125
+0.0407708
+0.0414376
+0.042074
+0.0426324
+0.0432814
+0.04403
+0.0448731
+0.0458033
+0.0468
+0.0478762
+0.0490087
+0.0501919
+0.051352
+0.0525245
+0.0537601
+0.0550551
+0.0564055
+0.057797
+0.0592314
+0.0606862
+0.0599282
+0.0592399
+0.0586114
+0.0580587
+0.0575842
+0.0571896
+0.0568768
+0.056647
+0.0564994
+0.0564219
+0.056425
+0.0565011
+0.0566618
+0.0569066
+0.0572244
+0.0576174
+0.0580723
+0.0585772
+0.0590286
+0.0595451
+0.060137
+0.060793
+0.0615124
+0.0623007
+0.063155
+0.064073
+0.0650434
+0.0660679
+0.0671483
+0.0682819
+0.0694661
+0.0706941
+0.0719462
+0.0731844
+0.0744363
+0.0757308
+0.0875539
+0.0855801
+0.0836171
+0.0816657
+0.0797267
+0.0778011
+0.0758899
+0.0739941
+0.0721151
+0.0702541
+0.0684127
+0.0665924
+0.064795
+0.0630226
+0.0612772
+0.0595612
+0.0578773
+0.0562283
+0.0546174
+0.0530481
+0.0514975
+0.0499778
+0.0485095
+0.0470973
+0.0457465
+0.0444627
+0.0432488
+0.0421061
+0.0410486
+0.040083
+0.0392162
+0.0384548
+0.0378051
+0.037273
+0.0368637
+0.0365627
+0.0363844
+0.0363375
+0.0364226
+0.0366386
+0.0369834
+0.037448
+0.0379567
+0.0384328
+0.0390165
+0.0395798
+0.0401033
+0.0406747
+0.0413545
+0.0421373
+0.0430175
+0.043976
+0.0450131
+0.0461253
+0.0472792
+0.0484164
+0.049574
+0.0507869
+0.0520637
+0.0533998
+0.0547801
+0.0562061
+0.05768
+0.0591983
+0.0586675
+0.057966
+0.0573286
+0.0567635
+0.056278
+0.0558742
+0.055554
+0.0553187
+0.0551695
+0.0550905
+0.0550814
+0.0551593
+0.055324
+0.0555744
+0.0558932
+0.0562935
+0.0566175
+0.0570202
+0.0575036
+0.0580635
+0.0586704
+0.0593519
+0.0600977
+0.0609042
+0.0617779
+0.0627059
+0.0636927
+0.0647386
+0.065832
+0.0669601
+0.0681399
+0.0693689
+0.0706445
+0.0718797
+0.0731538
+0.0744706
+0.0868136
+0.0848226
+0.0828416
+0.0808715
+0.078913
+0.0769671
+0.0750346
+0.0731167
+0.0712145
+0.0693294
+0.0674627
+0.0656161
+0.0637912
+0.0619901
+0.0602147
+0.0584676
+0.0567512
+0.0550685
+0.0534106
+0.0517619
+0.0501546
+0.048593
+0.0470815
+0.0456252
+0.0442294
+0.0429002
+0.0416438
+0.0404611
+0.0393594
+0.0383513
+0.0374444
+0.0366462
+0.0359639
+0.0354041
+0.0349729
+0.0346601
+0.034472
+0.0344225
+0.0345122
+0.0347402
+0.0351036
+0.0355788
+0.0361742
+0.0366975
+0.0371765
+0.0376579
+0.0381403
+0.0387407
+0.0394538
+0.0402735
+0.0411915
+0.0421833
+0.0432635
+0.0443917
+0.0455024
+0.0466427
+0.0478295
+0.0490855
+0.0504054
+0.0517728
+0.0531891
+0.0546566
+0.0561695
+0.0577114
+0.0574626
+0.0567462
+0.0560923
+0.0555146
+0.0550181
+0.054605
+0.0542773
+0.0540364
+0.0538837
+0.053799
+0.0537897
+0.0538695
+0.0540381
+0.0542853
+0.0544793
+0.0547226
+0.055052
+0.0554661
+0.055963
+0.0565404
+0.0571641
+0.0578632
+0.0586211
+0.0594492
+0.0603454
+0.0613069
+0.0623306
+0.0633849
+0.0644813
+0.0656326
+0.0668359
+0.0680885
+0.0693672
+0.0706187
+0.0719153
+0.0732543
+0.0861227
+0.0841153
+0.0821173
+0.0801294
+0.0781524
+0.076187
+0.0742342
+0.072295
+0.0703707
+0.0684623
+0.0665713
+0.0646992
+0.0628478
+0.0610188
+0.0592143
+0.0574368
+0.0556886
+0.0539332
+0.0522091
+0.0505211
+0.0488731
+0.0472691
+0.0457139
+0.0442125
+0.0427707
+0.0413947
+0.0400912
+0.038862
+0.0377136
+0.0366603
+0.0357105
+0.0348726
+0.0341549
+0.033565
+0.0331099
+0.0327858
+0.0325868
+0.0325344
+0.0326294
+0.0328704
+0.0332539
+0.0337483
+0.0343754
+0.034883
+0.0352892
+0.0356857
+0.0361943
+0.0368265
+0.0375759
+0.0384357
+0.0393936
+0.0404296
+0.0415344
+0.0426144
+0.0437336
+0.0448912
+0.0461231
+0.0474243
+0.0487768
+0.050182
+0.051642
+0.0531481
+0.0546875
+0.0562701
+0.0563172
+0.055586
+0.0549157
+0.0543254
+0.0538179
+0.0533956
+0.0530604
+0.052814
+0.0526507
+0.0525611
+0.0525516
+0.0526333
+0.0526761
+0.0527636
+0.0529413
+0.0531916
+0.0535305
+0.0539563
+0.0544669
+0.0550571
+0.0556968
+0.0564128
+0.057189
+0.0580375
+0.0589553
+0.0599391
+0.0609857
+0.0620583
+0.0631778
+0.0643524
+0.0655792
+0.0668463
+0.0681302
+0.0694041
+0.0707229
+0.0720841
+0.0854824
+0.0834596
+0.0814455
+0.0794408
+0.0774462
+0.0754624
+0.0734903
+0.071531
+0.0695855
+0.067655
+0.0657408
+0.0638444
+0.0619674
+0.0601116
+0.0582791
+0.0564472
+0.0546268
+0.0528345
+0.0510733
+0.0493465
+0.0476579
+0.0460116
+0.0444123
+0.0428654
+0.0413766
+0.0399526
+0.0386004
+0.0373222
+0.0361249
+0.0350239
+0.0340284
+0.033148
+0.0323921
+0.0317695
+0.0312883
+0.0309451
+0.0307342
+0.0306787
+0.0307794
+0.0310348
+0.0314406
+0.0319631
+0.0326245
+0.0330046
+0.0333375
+0.0337401
+0.0342776
+0.0349444
+0.0357334
+0.0366364
+0.0376295
+0.0387127
+0.039758
+0.040838
+0.0419758
+0.0431798
+0.0444591
+0.0457944
+0.0471868
+0.048638
+0.0501362
+0.0516724
+0.0532545
+0.0548752
+0.055233
+0.0544865
+0.0538025
+0.0531999
+0.0526816
+0.05225
+0.0519074
+0.0516546
+0.0514773
+0.0513869
+0.0512198
+0.0511405
+0.0511529
+0.051243
+0.0514263
+0.0517009
+0.0520498
+0.0524875
+0.0530123
+0.053619
+0.0542755
+0.0550104
+0.0558062
+0.0566754
+0.0576149
+0.0586212
+0.0596909
+0.0607818
+0.0619243
+0.0631222
+0.0643631
+0.0656527
+0.0669421
+0.0682381
+0.069579
+0.0709622
+0.0840323
+0.0827951
+0.0808275
+0.0788071
+0.076796
+0.074795
+0.0728049
+0.0708266
+0.0688612
+0.0669098
+0.0649736
+0.0630541
+0.0611417
+0.0592308
+0.0573398
+0.055471
+0.0536264
+0.0518052
+0.0500077
+0.0482428
+0.0465141
+0.0448258
+0.0431827
+0.04159
+0.0400539
+0.0385811
+0.0371791
+0.0358502
+0.034602
+0.0334509
+0.0324071
+0.0314814
+0.0306845
+0.0300265
+0.0295168
+0.0291529
+0.0289289
+0.0288699
+0.0289769
+0.029248
+0.0296783
+0.0302312
+0.0308028
+0.031052
+0.0313999
+0.0318263
+0.0323956
+0.0331004
+0.0339322
+0.0348799
+0.0359124
+0.0369405
+0.0379743
+0.0390885
+0.0402597
+0.0415134
+0.0428284
+0.0442057
+0.0456465
+0.0471354
+0.0486677
+0.0502489
+0.0518687
+0.0535219
+0.0542149
+0.0534543
+0.0527568
+0.0521421
+0.0516132
+0.0511726
+0.0508228
+0.0505438
+0.0501915
+0.0499187
+0.049741
+0.0496594
+0.0496743
+0.0497724
+0.0499611
+0.0502447
+0.0506082
+0.0510583
+0.0515976
+0.0522233
+0.0529069
+0.0536608
+0.0544764
+0.0553665
+0.0563278
+0.0573567
+0.0584331
+0.0595536
+0.0607194
+0.0619353
+0.0631985
+0.0645114
+0.0658055
+0.0671235
+0.0684862
+0.0698795
+0.082608
+0.0813516
+0.0801251
+0.0782296
+0.0762033
+0.0741863
+0.0721794
+0.0701835
+0.0681996
+0.0662273
+0.0642436
+0.0622737
+0.0603191
+0.0583812
+0.0564618
+0.0545629
+0.0526866
+0.0508355
+0.0490124
+0.047215
+0.0454472
+0.0437177
+0.0420313
+0.0403933
+0.0388099
+0.0372879
+0.0358354
+0.0344547
+0.033154
+0.0319507
+0.0308563
+0.0298826
+0.0290418
+0.0283457
+0.0278053
+0.0274186
+0.0271803
+0.0271175
+0.0272314
+0.0275197
+0.0279702
+0.0285562
+0.0288704
+0.0291334
+0.029497
+0.0299506
+0.0305548
+0.0313011
+0.0321795
+0.0331651
+0.0341717
+0.0351505
+0.0362353
+0.0373682
+0.0385916
+0.0398825
+0.0412418
+0.0426703
+0.044148
+0.0456755
+0.0472553
+0.0488736
+0.0505298
+0.0522254
+0.0532675
+0.0524931
+0.0517828
+0.0511564
+0.0505677
+0.0499696
+0.0494613
+0.0490457
+0.0487251
+0.0484926
+0.0483096
+0.0482255
+0.0482409
+0.0483556
+0.0485506
+0.0488424
+0.0492199
+0.0496827
+0.0502367
+0.0508792
+0.051595
+0.052368
+0.0532036
+0.0541147
+0.0550978
+0.056123
+0.0572058
+0.0583436
+0.059533
+0.0607781
+0.0620746
+0.0634112
+0.0647231
+0.0660627
+0.0674438
+0.0688376
+0.0812094
+0.0799396
+0.0787016
+0.0773952
+0.0756688
+0.0736377
+0.0716155
+0.0695858
+0.0675586
+0.0655419
+0.0635368
+0.0615443
+0.0595657
+0.0576025
+0.0556563
+0.0537289
+0.0518224
+0.0499392
+0.0480821
+0.0462543
+0.0444592
+0.0426934
+0.0409648
+0.0392824
+0.0376522
+0.0360815
+0.0345783
+0.0331453
+0.0317911
+0.0305342
+0.029387
+0.0283629
+0.0274757
+0.0267389
+0.0261652
+0.025753
+0.0254992
+0.0254323
+0.0255536
+0.0258607
+0.0263276
+0.0268402
+0.0269756
+0.0272558
+0.0276368
+0.0281204
+0.0287631
+0.0295547
+0.0304831
+0.0314626
+0.0323768
+0.0334081
+0.034506
+0.035693
+0.0369586
+0.0382992
+0.0397127
+0.041177
+0.0426984
+0.044276
+0.0458922
+0.0475513
+0.0492521
+0.0509902
+0.0519897
+0.0511424
+0.0503761
+0.0496946
+0.0490679
+0.0485278
+0.0480293
+0.0476013
+0.0472709
+0.0470391
+0.0468902
+0.0468314
+0.0468472
+0.0469653
+0.047185
+0.0474897
+0.0478878
+0.0483633
+0.0489323
+0.0495916
+0.0503378
+0.0511364
+0.051992
+0.0529171
+0.0538864
+0.0549259
+0.0560316
+0.0571835
+0.0583936
+0.0596596
+0.0609781
+0.0623415
+0.0636976
+0.0650524
+0.0664445
+0.0678505
+0.0796338
+0.0783893
+0.0771625
+0.0759791
+0.074694
+0.0731153
+0.0710568
+0.0690033
+0.0669585
+0.0649232
+0.0628983
+0.060885
+0.0588842
+0.0568975
+0.0549263
+0.0529724
+0.0510376
+0.0491244
+0.0472353
+0.0453733
+0.0435419
+0.0417451
+0.0399877
+0.0382647
+0.0365893
+0.0349709
+0.0334177
+0.0319327
+0.0305247
+0.0292134
+0.0280122
+0.0269358
+0.0259999
+0.0252201
+0.0246111
+0.0241694
+0.0238988
+0.0238273
+0.0239568
+0.024284
+0.02477
+0.0249772
+0.0251278
+0.0254283
+0.0258285
+0.0263453
+0.0270303
+0.0278711
+0.0288146
+0.0296551
+0.0306295
+0.0316842
+0.0328271
+0.0340635
+0.0353801
+0.0367782
+0.0382262
+0.0397398
+0.0413142
+0.0429273
+0.0445892
+0.046295
+0.0480402
+0.0498206
+0.0505502
+0.0496783
+0.0488891
+0.0481866
+0.0475747
+0.0470372
+0.0465687
+0.0461937
+0.0458752
+0.0456376
+0.0454856
+0.0454372
+0.0454943
+0.0456379
+0.0458639
+0.046191
+0.0466012
+0.0471089
+0.0476929
+0.0483691
+0.0491338
+0.0499697
+0.0508229
+0.0517386
+0.0527295
+0.0537886
+0.0549019
+0.056077
+0.0573104
+0.0585999
+0.0599417
+0.0613303
+0.0627225
+0.0640964
+0.0654946
+0.0669206
+0.0780878
+0.0768184
+0.0755661
+0.0743572
+0.073194
+0.0720114
+0.0705415
+0.0684763
+0.0664191
+0.0643707
+0.0623304
+0.0602981
+0.0582772
+0.056269
+0.054275
+0.0522967
+0.050336
+0.0483951
+0.0464763
+0.0445827
+0.0427174
+0.0408844
+0.0390883
+0.0373343
+0.0356283
+0.0339653
+0.0323628
+0.0308191
+0.0293578
+0.0279918
+0.0267358
+0.0256059
+0.0246194
+0.0237944
+0.0231479
+0.0226869
+0.0223984
+0.0223222
+0.0224603
+0.0227883
+0.0230364
+0.0231675
+0.0233393
+0.0236626
+0.0240838
+0.0246372
+0.0253684
+0.0262576
+0.0270074
+0.0279023
+0.0289191
+0.0300074
+0.0312074
+0.032492
+0.0338697
+0.0353007
+0.0368042
+0.0383715
+0.0399827
+0.0416468
+0.0433577
+0.0451102
+0.0468995
+0.0487216
+0.0491598
+0.0482693
+0.0474566
+0.0467326
+0.0461014
+0.0455554
+0.0451003
+0.0447373
+0.0444514
+0.0442693
+0.0441451
+0.0440952
+0.044154
+0.0443212
+0.0445956
+0.0449468
+0.0453741
+0.0458968
+0.046507
+0.0472007
+0.0479845
+0.0488355
+0.0496913
+0.0506275
+0.051634
+0.0527018
+0.0538376
+0.0550354
+0.0562917
+0.057604
+0.0589684
+0.0603796
+0.061808
+0.0631979
+0.064514
+0.0658768
+0.0765733
+0.0752784
+0.074
+0.0727652
+0.0715761
+0.0704322
+0.0692613
+0.0680115
+0.0659398
+0.063876
+0.061821
+0.0597756
+0.0577409
+0.0557179
+0.0537052
+0.0517052
+0.0497212
+0.0477552
+0.0458097
+0.0438872
+0.0419911
+0.0401249
+0.0382932
+0.036501
+0.0347546
+0.0330561
+0.0314051
+0.0298231
+0.0283104
+0.0268913
+0.0255812
+0.0243979
+0.0233605
+0.0224893
+0.0218042
+0.0212989
+0.0209913
+0.0209099
+0.0210556
+0.0211694
+0.0212901
+0.0214291
+0.0216249
+0.0219734
+0.0224174
+0.023011
+0.0237922
+0.0244657
+0.0252609
+0.0262155
+0.0272483
+0.0284007
+0.0296463
+0.0309957
+0.0324072
+0.0338975
+0.0354546
+0.037063
+0.0387287
+0.0404444
+0.0422041
+0.0440025
+0.0458351
+0.0476383
+0.0477923
+0.0469073
+0.0460695
+0.0453221
+0.0446698
+0.0441168
+0.0436535
+0.0432894
+0.0430339
+0.0428593
+0.0427827
+0.0428181
+0.0428839
+0.043056
+0.0433268
+0.043696
+0.044171
+0.0447276
+0.0453796
+0.0461023
+0.0469044
+0.0477573
+0.0486321
+0.0495796
+0.0505959
+0.0516851
+0.0528427
+0.0540626
+0.055341
+0.0566753
+0.0580615
+0.0594944
+0.0607627
+0.0620608
+0.0633938
+0.0647416
+0.075064
+0.0737547
+0.0724664
+0.0712049
+0.0699894
+0.0688221
+0.067685
+0.0665379
+0.0654383
+0.0634532
+0.061384
+0.0593236
+0.0572728
+0.0552327
+0.0532046
+0.05119
+0.0491903
+0.0472077
+0.0452394
+0.0432916
+0.0413682
+0.0394726
+0.0376091
+0.0357827
+0.0339993
+0.0322603
+0.0305664
+0.0289392
+0.0273907
+0.0259294
+0.0245682
+0.0233335
+0.0222466
+0.0213299
+0.0205978
+0.0200416
+0.0197144
+0.0196277
+0.0195257
+0.019481
+0.0196156
+0.0197807
+0.0199762
+0.0203533
+0.0208392
+0.0214775
+0.0220641
+0.022735
+0.0235886
+0.0245701
+0.0256558
+0.0268566
+0.0281693
+0.0295553
+0.0310279
+0.0325711
+0.0341748
+0.0358408
+0.0375607
+0.0393274
+0.0411349
+0.0429101
+0.0446845
+0.0464945
+0.0464728
+0.0455637
+0.0447396
+0.0439696
+0.043297
+0.0427262
+0.0422613
+0.0418947
+0.0416146
+0.0414422
+0.0413852
+0.0414441
+0.0415956
+0.0418319
+0.0421224
+0.0425117
+0.0429997
+0.0435925
+0.0442743
+0.0450303
+0.0458709
+0.046757
+0.0476381
+0.0485963
+0.0496327
+0.0507427
+0.0519213
+0.0531623
+0.0544619
+0.0558171
+0.0570231
+0.0582399
+0.0595046
+0.0608019
+0.0621178
+0.0634779
+0.0735738
+0.0722379
+0.0709441
+0.0696786
+0.0684359
+0.0672417
+0.066094
+0.064968
+0.0638471
+0.062776
+0.0610226
+0.0589495
+0.0568853
+0.0548308
+0.0527873
+0.050756
+0.0487386
+0.0467368
+0.0447527
+0.0427887
+0.0408478
+0.0389327
+0.0370421
+0.0351862
+0.033371
+0.0315966
+0.0298651
+0.0281975
+0.0266059
+0.0251047
+0.0237069
+0.0224248
+0.0212915
+0.0203319
+0.019532
+0.0189444
+0.0185094
+0.0181121
+0.0179489
+0.0179017
+0.0180467
+0.0182353
+0.0184378
+0.0188459
+0.0192333
+0.0197817
+0.0203678
+0.0210901
+0.0220024
+0.0230009
+0.0241423
+0.0254063
+0.0267582
+0.0282067
+0.0297308
+0.0313268
+0.0329911
+0.0347139
+0.0364804
+0.0382198
+0.039967
+0.0417516
+0.0435733
+0.0454275
+0.045221
+0.044271
+0.0434021
+0.0426198
+0.0419315
+0.0413432
+0.040864
+0.0404977
+0.0402127
+0.0400343
+0.0399753
+0.0400363
+0.0402167
+0.0405149
+0.0409227
+0.0413699
+0.0418934
+0.0425183
+0.0432289
+0.0440166
+0.0448837
+0.045824
+0.0467167
+0.0476935
+0.0487491
+0.0498787
+0.0510773
+0.0523068
+0.053461
+0.0545897
+0.0557685
+0.0569874
+0.0582424
+0.0595377
+0.0608619
+0.06223
+0.0720896
+0.0707565
+0.0694313
+0.0681385
+0.0668924
+0.0656891
+0.0645067
+0.063378
+0.062284
+0.061194
+0.060151
+0.058655
+0.05658
+0.054514
+0.0524581
+0.0504136
+0.0483819
+0.0463647
+0.044364
+0.042382
+0.0404216
+0.038486
+0.0365788
+0.0346979
+0.0328553
+0.031058
+0.029311
+0.0276101
+0.0259825
+0.024443
+0.0230051
+0.0216816
+0.0204924
+0.0194776
+0.0186301
+0.0177601
+0.0171081
+0.0166775
+0.0165068
+0.016463
+0.0166191
+0.016823
+0.0170427
+0.0172213
+0.0175605
+0.0181595
+0.0187711
+0.0195525
+0.0204708
+0.0215317
+0.0227299
+0.0240242
+0.0254363
+0.0269474
+0.0285243
+0.030176
+0.0318928
+0.0335745
+0.0352988
+0.0370493
+0.0388444
+0.0406782
+0.0425459
+0.044443
+0.0439506
+0.0429948
+0.0421069
+0.0413
+0.0405955
+0.0399987
+0.0395064
+0.0391275
+0.0388537
+0.0386931
+0.0386382
+0.0387013
+0.0388879
+0.0391963
+0.0396224
+0.0401416
+0.0407721
+0.041481
+0.0422183
+0.0430455
+0.0439665
+0.0449463
+0.045856
+0.0467763
+0.047775
+0.048832
+0.0499628
+0.0511326
+0.0522197
+0.0533437
+0.0545051
+0.0557183
+0.05699
+0.0582879
+0.0596287
+0.0609914
+0.0706
+0.0692867
+0.0679245
+0.0666024
+0.065327
+0.0641012
+0.0629277
+0.0617987
+0.0606987
+0.0596331
+0.0585828
+0.0575731
+0.0563582
+0.0542838
+0.0522189
+0.0501647
+0.0481225
+0.0460939
+0.0440808
+0.0420855
+0.0401106
+0.0381593
+0.0362349
+0.0343351
+0.032472
+0.0306522
+0.0288839
+0.0271773
+0.0255261
+0.0239425
+0.0224611
+0.0210963
+0.0198624
+0.0186007
+0.0174737
+0.0165584
+0.0158711
+0.0154217
+0.0152026
+0.0151722
+0.0153723
+0.0155918
+0.0155121
+0.01562
+0.0159931
+0.0166486
+0.0173049
+0.0181084
+0.0190591
+0.0201483
+0.0213685
+0.0227344
+0.0242098
+0.0257693
+0.0274035
+0.0290126
+0.0306937
+0.0324051
+0.0341633
+0.035969
+0.0378154
+0.0396968
+0.0416086
+0.0435466
+0.0426822
+0.0417301
+0.0408544
+0.0400567
+0.0393299
+0.0387135
+0.0382093
+0.0378173
+0.0375493
+0.0373879
+0.0373496
+0.0374397
+0.0376398
+0.0379583
+0.0383901
+0.0389258
+0.0395757
+0.0403342
+0.0411953
+0.0421208
+0.0430618
+0.0438359
+0.0446644
+0.0455832
+0.0465869
+0.0476703
+0.0488042
+0.0499017
+0.0509441
+0.0520561
+0.053235
+0.0544765
+0.0557521
+0.0570392
+0.0583717
+0.0597285
+0.0691478
+0.0678063
+0.0664538
+0.0651038
+0.0637985
+0.0625427
+0.0613394
+0.0601919
+0.0590917
+0.0580207
+0.0570132
+0.0560198
+0.0550488
+0.0539222
+0.0519179
+0.049929
+0.0479528
+0.0459245
+0.0439047
+0.0419016
+0.0399176
+0.0379564
+0.0360211
+0.0341095
+0.0322333
+0.0303992
+0.0286153
+0.02689
+0.0252013
+0.0235952
+0.0220131
+0.0204452
+0.0190009
+0.0176778
+0.016523
+0.0155237
+0.0145987
+0.0139592
+0.0136366
+0.0136027
+0.0138611
+0.0140997
+0.0140476
+0.0141666
+0.014577
+0.0152933
+0.0159741
+0.0167604
+0.0177241
+0.0188482
+0.0201469
+0.0215685
+0.0230641
+0.0245793
+0.0261798
+0.0278482
+0.0295527
+0.0313178
+0.0331338
+0.0349927
+0.036888
+0.0388144
+0.0407675
+0.0424462
+0.0414216
+0.040458
+0.0395682
+0.0387818
+0.0380965
+0.0375124
+0.0369957
+0.0365915
+0.0363145
+0.0361671
+0.0361288
+0.0362219
+0.0364467
+0.0368004
+0.0372461
+0.037798
+0.0384669
+0.0392468
+0.0401313
+0.0410534
+0.041897
+0.0426506
+0.0434937
+0.044395
+0.0453843
+0.0464558
+0.0476042
+0.0486049
+0.0496726
+0.0508124
+0.0520176
+0.0532312
+0.0544796
+0.055765
+0.0570856
+0.058444
+0.0677223
+0.0663653
+0.0650232
+0.0636436
+0.0623095
+0.061023
+0.0597892
+0.0586113
+0.0574901
+0.056421
+0.0553849
+0.0544168
+0.0535119
+0.052586
+0.0513399
+0.0493279
+0.0473318
+0.0453537
+0.0433959
+0.0414367
+0.0394931
+0.0375767
+0.0356918
+0.0338438
+0.0320276
+0.0302112
+0.0283802
+0.0265471
+0.0247433
+0.0230067
+0.0213538
+0.0197924
+0.0182967
+0.0169219
+0.015529
+0.0143224
+0.0133147
+0.0126102
+0.0122607
+0.0122258
+0.0123877
+0.0126471
+0.0127923
+0.0129228
+0.0133715
+0.0141483
+0.014757
+0.0155413
+0.0165256
+0.0177238
+0.0189841
+0.020332
+0.021817
+0.0234131
+0.0250518
+0.0267551
+0.0285251
+0.03035
+0.0322206
+0.0341292
+0.0360699
+0.0380378
+0.0400289
+0.04124
+0.0401857
+0.0392255
+0.0383495
+0.0375377
+0.0368292
+0.0362348
+0.035765
+0.0354112
+0.0351729
+0.0350218
+0.0350021
+0.0350982
+0.0353301
+0.0356952
+0.0361641
+0.0367575
+0.0374533
+0.038254
+0.0390334
+0.0399034
+0.0406521
+0.0414064
+0.0422564
+0.0431836
+0.0442
+0.0452996
+0.0463306
+0.0473702
+0.048445
+0.0495575
+0.0507148
+0.0519222
+0.0531799
+0.054474
+0.0558015
+0.0571741
+0.0663129
+0.0649526
+0.0635979
+0.0622164
+0.0608613
+0.0595452
+0.0582801
+0.0570711
+0.0559217
+0.0548289
+0.0537961
+0.0527993
+0.0518754
+0.051029
+0.0501919
+0.0488148
+0.0467997
+0.0447981
+0.042815
+0.0408532
+0.0389157
+0.0369927
+0.0350765
+0.0331942
+0.0313521
+0.0295576
+0.0277537
+0.0260079
+0.0242646
+0.0225595
+0.0208712
+0.019273
+0.0177015
+0.0160793
+0.0146063
+0.0133218
+0.0122876
+0.0115216
+0.0111392
+0.0108317
+0.0107174
+0.0110452
+0.0115536
+0.0119515
+0.0124373
+0.0131002
+0.0135675
+0.0143563
+0.0153404
+0.0164296
+0.0177208
+0.0191578
+0.0207271
+0.0223352
+0.0240314
+0.0258022
+0.0276333
+0.0295134
+0.0314337
+0.0333874
+0.0353688
+0.0373737
+0.0393983
+0.0400993
+0.0390142
+0.0380245
+0.0371377
+0.0363615
+0.0356516
+0.0350372
+0.0345512
+0.0341848
+0.0339428
+0.0338411
+0.0338811
+0.0340534
+0.0342924
+0.0346684
+0.0351706
+0.0357856
+0.036482
+0.0371174
+0.0378559
+0.0386733
+0.0394478
+0.0402248
+0.0410988
+0.0420494
+0.0430707
+0.0441276
+0.0450931
+0.0460829
+0.047129
+0.0482257
+0.0493917
+0.050615
+0.0518865
+0.0531923
+0.0545287
+0.0559143
+0.0647949
+0.0634714
+0.0621185
+0.0607992
+0.0594351
+0.0581104
+0.0568154
+0.0555745
+0.0543936
+0.0532766
+0.0522159
+0.0512242
+0.0502716
+0.0493977
+0.0486068
+0.047621
+0.0463471
+0.04433
+0.0423303
+0.0403504
+0.038392
+0.0364554
+0.0345491
+0.0326785
+0.0308059
+0.0289776
+0.0272028
+0.0254365
+0.0237225
+0.022093
+0.0204901
+0.0189432
+0.0171795
+0.0155028
+0.0139691
+0.0126199
+0.0115278
+0.0107324
+0.00995058
+0.00939668
+0.00926585
+0.00964317
+0.010205
+0.0108065
+0.0111807
+0.0117411
+0.012259
+0.0130892
+0.014091
+0.0152694
+0.0166308
+0.0181543
+0.0197313
+0.0214096
+0.0231737
+0.0250053
+0.0268907
+0.0288193
+0.030783
+0.0327755
+0.0347918
+0.036828
+0.0388811
+0.0390279
+0.0379332
+0.0369145
+0.0360004
+0.0351991
+0.0345145
+0.0339069
+0.0334321
+0.0330582
+0.0328079
+0.0327027
+0.0327441
+0.0329315
+0.0332624
+0.0337326
+0.0342603
+0.0347267
+0.0353003
+0.0359443
+0.0367063
+0.0374804
+0.0382605
+0.0390369
+0.0399105
+0.0408678
+0.0418969
+0.0428614
+0.0437654
+0.0447532
+0.0457981
+0.0469204
+0.0480907
+0.04933
+0.0506139
+0.0519242
+0.0532923
+0.0546957
+0.0632671
+0.0620157
+0.0606415
+0.0593055
+0.0580209
+0.0566864
+0.0553855
+0.0541171
+0.052909
+0.051763
+0.0506812
+0.0496588
+0.0487135
+0.0478112
+0.0469936
+0.0461035
+0.045036
+0.0439592
+0.0419418
+0.0399426
+0.0379646
+0.0360112
+0.0340867
+0.0321962
+0.0303397
+0.0284814
+0.0266737
+0.0249275
+0.0232566
+0.021637
+0.0200724
+0.0185579
+0.0168962
+0.015203
+0.0136358
+0.0122612
+0.0111473
+0.00993103
+0.0088916
+0.00827955
+0.00813076
+0.00848987
+0.0091233
+0.00972257
+0.0100982
+0.0106105
+0.0112093
+0.0120503
+0.0130871
+0.0143217
+0.0157425
+0.0172665
+0.0189218
+0.0206757
+0.0224974
+0.0243799
+0.0263101
+0.0282783
+0.0302771
+0.0323008
+0.034338
+0.0363918
+0.0384606
+0.0379514
+0.0368534
+0.0358558
+0.0349507
+0.0341378
+0.0334355
+0.032824
+0.0323333
+0.0319854
+0.0317687
+0.03166
+0.0317026
+0.0318961
+0.0322376
+0.0327225
+0.0331149
+0.0335922
+0.0341525
+0.034782
+0.0354905
+0.0363175
+0.0370867
+0.0378686
+0.038729
+0.0396919
+0.0407145
+0.0415484
+0.0424485
+0.0434309
+0.0444975
+0.0456245
+0.0468266
+0.0480967
+0.0493766
+0.0507
+0.0520414
+0.0534248
+0.0617153
+0.0604853
+0.0591935
+0.0578353
+0.0565223
+0.0552599
+0.0539704
+0.0527012
+0.0514599
+0.0502834
+0.0491761
+0.048141
+0.0471666
+0.046274
+0.0454288
+0.0444693
+0.0435325
+0.042519
+0.0415904
+0.0396518
+0.0376585
+0.0356884
+0.0337455
+0.0318257
+0.0299413
+0.0281014
+0.0262887
+0.0245151
+0.0227775
+0.021077
+0.0194747
+0.0179364
+0.0164913
+0.0150984
+0.0135874
+0.0122085
+0.0107113
+0.00930695
+0.00819837
+0.00754557
+0.00738053
+0.00743368
+0.00780332
+0.00850656
+0.00919612
+0.00965233
+0.0104032
+0.011215
+0.0123204
+0.0135638
+0.0149894
+0.0165827
+0.0183
+0.0201094
+0.0219884
+0.0239116
+0.0258657
+0.027855
+0.0298726
+0.0319129
+0.033972
+0.0360466
+0.0380885
+0.0369087
+0.0358057
+0.0348056
+0.0339032
+0.0330899
+0.0323745
+0.0317868
+0.0313416
+0.0309904
+0.0307763
+0.0306945
+0.0307671
+0.0309664
+0.031318
+0.031606
+0.0319547
+0.0324214
+0.0329371
+0.0335419
+0.0342762
+0.0351293
+0.0359119
+0.0367178
+0.0375732
+0.038516
+0.0394153
+0.0402357
+0.0411523
+0.0421628
+0.0432396
+0.0443982
+0.0456325
+0.0468734
+0.0481221
+0.0494351
+0.0507696
+0.0521335
+0.0602033
+0.058936
+0.0576864
+0.0564003
+0.0550603
+0.0537735
+0.0525358
+0.0512959
+0.0500647
+0.0488546
+0.0477145
+0.0466481
+0.0456609
+0.0447501
+0.043887
+0.0428535
+0.0418962
+0.0410177
+0.0400834
+0.0392197
+0.0374664
+0.0354785
+0.0335158
+0.0315822
+0.029683
+0.0277762
+0.0258834
+0.0240307
+0.0222239
+0.0204886
+0.0188363
+0.0172962
+0.0158576
+0.0145666
+0.0133713
+0.0121203
+0.0105101
+0.00909201
+0.00799371
+0.00683539
+0.006069
+0.00603711
+0.00656807
+0.00738674
+0.00847021
+0.00908941
+0.009786
+0.0107118
+0.0117522
+0.0130549
+0.01453
+0.0161596
+0.0179068
+0.0197427
+0.0216447
+0.0235873
+0.0255662
+0.0275772
+0.0296136
+0.0316707
+0.0337445
+0.0358323
+0.0370949
+0.0358987
+0.034791
+0.0337618
+0.0328443
+0.0320506
+0.0313649
+0.0307996
+0.0303398
+0.0300015
+0.029819
+0.0297953
+0.0298719
+0.0300154
+0.0301324
+0.0303891
+0.030727
+0.031215
+0.0317154
+0.0323428
+0.0331036
+0.0339887
+0.0346979
+0.0354469
+0.0363128
+0.0372636
+0.0381399
+0.0389827
+0.0399192
+0.0409375
+0.0420454
+0.0432241
+0.0443977
+0.045609
+0.0468655
+0.0481643
+0.0495071
+0.0508791
+0.0587207
+0.0574182
+0.056143
+0.0549147
+0.0536406
+0.0523217
+0.0510627
+0.0498552
+0.0486718
+0.0474721
+0.0463101
+0.0452119
+0.0441928
+0.043238
+0.04232
+0.0412654
+0.0402902
+0.0393987
+0.0385802
+0.0377452
+0.0369567
+0.0353556
+0.0333427
+0.0313536
+0.0293918
+0.0274356
+0.0255176
+0.0236471
+0.0218355
+0.0200744
+0.0184013
+0.0168411
+0.0154205
+0.0141475
+0.012991
+0.0119811
+0.0105468
+0.00898378
+0.00731298
+0.00595606
+0.00516689
+0.00512815
+0.0058114
+0.00671113
+0.00791883
+0.00888547
+0.00948398
+0.0103527
+0.011462
+0.0128124
+0.014332
+0.015979
+0.017744
+0.0195951
+0.0215102
+0.023464
+0.0254525
+0.0274717
+0.0295155
+0.0315789
+0.0336584
+0.0357512
+0.0361474
+0.0349352
+0.0338216
+0.0327792
+0.0318334
+0.0310138
+0.0303291
+0.0297862
+0.0293541
+0.0290665
+0.028882
+0.0288591
+0.0288318
+0.0288241
+0.0289373
+0.0291913
+0.0295527
+0.0300302
+0.0305506
+0.0312014
+0.0319893
+0.032749
+0.033399
+0.0341747
+0.0350302
+0.0359776
+0.0369249
+0.0377855
+0.0387345
+0.0397701
+0.0408642
+0.0419684
+0.0431418
+0.0443556
+0.0456192
+0.0469306
+0.048281
+0.0496774
+0.0572162
+0.0559205
+0.0546354
+0.0533832
+0.0521798
+0.0509199
+0.0496253
+0.0483953
+0.0472256
+0.046067
+0.0448937
+0.0437769
+0.0427264
+0.0417524
+0.0407968
+0.039718
+0.0387142
+0.0377924
+0.0369739
+0.0362256
+0.0355079
+0.0348225
+0.0331484
+0.0311469
+0.0291726
+0.0272315
+0.0253237
+0.0234512
+0.0216244
+0.0198624
+0.0181766
+0.016609
+0.0151805
+0.0139113
+0.012847
+0.0117054
+0.0105096
+0.00882406
+0.00713723
+0.00574683
+0.00489157
+0.00485383
+0.0055563
+0.00649888
+0.00741184
+0.00857443
+0.00955859
+0.0104152
+0.0115376
+0.0128877
+0.0144134
+0.0160721
+0.0178313
+0.0196772
+0.0215877
+0.0235441
+0.0255269
+0.0275407
+0.0295796
+0.0316389
+0.0337147
+0.0358043
+0.0353071
+0.0340654
+0.0329224
+0.0318891
+0.0309448
+0.030101
+0.0293966
+0.0288376
+0.0284354
+0.0281357
+0.0278447
+0.0277066
+0.0276186
+0.027593
+0.0276865
+0.0279519
+0.0283757
+0.0289073
+0.0294541
+0.0301269
+0.0309314
+0.031508
+0.0321256
+0.0328775
+0.0337507
+0.0347181
+0.0357857
+0.0366237
+0.0375543
+0.0385609
+0.0396101
+0.0407248
+0.0419134
+0.0431258
+0.0444028
+0.0457452
+0.047115
+0.048545
+0.0557571
+0.0544267
+0.0531534
+0.0518884
+0.0506572
+0.049478
+0.0482407
+0.0469785
+0.0457823
+0.0446562
+0.0434985
+0.0423588
+0.0412825
+0.0402829
+0.0392478
+0.0381993
+0.0371868
+0.036243
+0.0353887
+0.0346492
+0.0339904
+0.0333686
+0.0328423
+0.0310936
+0.0291157
+0.0271705
+0.0252581
+0.0233803
+0.0215616
+0.0198182
+0.0181715
+0.0166023
+0.0151751
+0.0139235
+0.0126648
+0.0113894
+0.0102879
+0.00899916
+0.00749777
+0.00621191
+0.00536161
+0.00522023
+0.00522693
+0.0059945
+0.00705159
+0.00817155
+0.00924398
+0.0105877
+0.0118717
+0.0132101
+0.0147409
+0.0163878
+0.0181436
+0.0199681
+0.0218532
+0.0237907
+0.0257687
+0.0277787
+0.0298051
+0.0318498
+0.0339128
+0.0353272
+0.0341462
+0.0330011
+0.0319653
+0.0310497
+0.0301063
+0.0292705
+0.0285781
+0.0279026
+0.0273242
+0.0269123
+0.0266598
+0.0264081
+0.026318
+0.026342
+0.0264404
+0.0267187
+0.0271713
+0.0276952
+0.0283078
+0.0290481
+0.0297412
+0.0302361
+0.0308789
+0.0316605
+0.0325526
+0.0335545
+0.0346157
+0.0354112
+0.0363161
+0.0372983
+0.0383666
+0.0395194
+0.0407155
+0.0419514
+0.0432605
+0.0446205
+0.0460237
+0.0474846
+0.0543338
+0.0529815
+0.0516725
+0.0504248
+0.0491737
+0.0479669
+0.0467873
+0.0455999
+0.0443902
+0.0432333
+0.0421411
+0.040978
+0.0398962
+0.038848
+0.0376968
+0.0366334
+0.035651
+0.0347121
+0.0338707
+0.0330977
+0.0324539
+0.0318999
+0.0313898
+0.0306773
+0.0292166
+0.0272762
+0.0253721
+0.0235002
+0.0216883
+0.0199524
+0.0183143
+0.0167458
+0.0153146
+0.0138965
+0.0124636
+0.0112029
+0.0102351
+0.0092007
+0.00807392
+0.00699425
+0.00587914
+0.00526744
+0.00528016
+0.00558678
+0.00626881
+0.00752617
+0.00896713
+0.0103558
+0.0119407
+0.0134743
+0.0151216
+0.0168859
+0.0186258
+0.0204268
+0.0222976
+0.0242109
+0.026143
+0.0280638
+0.0298743
+0.0317192
+0.0336037
+0.0341519
+0.032946
+0.0318454
+0.0308175
+0.029867
+0.0290508
+0.0283101
+0.0275055
+0.0267685
+0.0261651
+0.0257291
+0.0254069
+0.0251619
+0.0250669
+0.0250925
+0.0251958
+0.0254877
+0.0259618
+0.0265717
+0.0272142
+0.0279735
+0.028543
+0.0290584
+0.0297266
+0.0305358
+0.0314504
+0.0324861
+0.0333141
+0.0341403
+0.035078
+0.0360787
+0.0371683
+0.0383168
+0.0395348
+0.0407783
+0.0420905
+0.0434734
+0.0449207
+0.0464256
+0.0528124
+0.0515324
+0.0502436
+0.0489594
+0.0477289
+0.0465018
+0.0453287
+0.04415
+0.0430132
+0.0418711
+0.0407605
+0.0396492
+0.0385101
+0.0374072
+0.036212
+0.0351036
+0.0341001
+0.0331937
+0.0323346
+0.0316016
+0.0309475
+0.0304163
+0.0299842
+0.0292706
+0.0284332
+0.0274946
+0.0255714
+0.0236948
+0.0218766
+0.0201326
+0.0184841
+0.0169326
+0.0155203
+0.0139628
+0.0125376
+0.0113587
+0.0104353
+0.00964786
+0.00862361
+0.00727964
+0.00626932
+0.00578309
+0.00533734
+0.00536919
+0.00608551
+0.00739803
+0.00859245
+0.00991338
+0.0114787
+0.0130658
+0.0147588
+0.0165164
+0.0182118
+0.0200036
+0.0218682
+0.023788
+0.0256157
+0.0274131
+0.0292638
+0.0311449
+0.0330622
+0.03308
+0.0318335
+0.030693
+0.0296706
+0.0287765
+0.0279285
+0.0272307
+0.0264028
+0.0256369
+0.0250083
+0.0245082
+0.0241693
+0.0239578
+0.023877
+0.0238342
+0.0239817
+0.0243263
+0.02486
+0.0254129
+0.026084
+0.0268751
+0.0274676
+0.0280027
+0.0286936
+0.0295028
+0.0304473
+0.0313185
+0.0320787
+0.0329214
+0.0338547
+0.0348723
+0.0359745
+0.0371448
+0.0383659
+0.0396368
+0.0409855
+0.0424045
+0.0438395
+0.0452916
+0.0512801
+0.0500151
+0.0487655
+0.0475473
+0.0462947
+0.0450781
+0.0438858
+0.0427382
+0.0415763
+0.0404811
+0.0394193
+0.0383346
+0.0371552
+0.0359601
+0.0347858
+0.0336438
+0.0325954
+0.0316568
+0.0308247
+0.0300886
+0.0294628
+0.0289456
+0.0285467
+0.0278455
+0.0269916
+0.0262828
+0.0256019
+0.0239834
+0.0221738
+0.020439
+0.0187872
+0.017249
+0.015691
+0.0141461
+0.0127911
+0.0116864
+0.0107392
+0.00997021
+0.00929984
+0.00809115
+0.0072018
+0.00648441
+0.0057803
+0.00580972
+0.00646923
+0.0070888
+0.00823507
+0.00971059
+0.0113177
+0.01298
+0.0145487
+0.0161798
+0.0179024
+0.0197181
+0.0216035
+0.0233227
+0.025093
+0.0269253
+0.0288074
+0.0307164
+0.0326189
+0.0321219
+0.0308368
+0.0296579
+0.0285986
+0.0276724
+0.0268932
+0.0261429
+0.0253364
+0.0245822
+0.0238803
+0.0233627
+0.0230425
+0.0228046
+0.022714
+0.0227062
+0.022861
+0.0232223
+0.0237808
+0.0243333
+0.0250654
+0.0258802
+0.0265216
+0.0270753
+0.027765
+0.0285992
+0.0293879
+0.0300961
+0.0309034
+0.0317517
+0.0326924
+0.0337124
+0.0348163
+0.0360131
+0.0372675
+0.0385657
+0.0399252
+0.0412914
+0.0427167
+0.0441846
+0.0497841
+0.0484877
+0.0472507
+0.0460351
+0.0448601
+0.0436871
+0.0424878
+0.0413362
+0.0401936
+0.0390776
+0.0380328
+0.0370531
+0.0358778
+0.0345621
+0.0333386
+0.0322033
+0.0311641
+0.0301836
+0.0293097
+0.0285774
+0.0279977
+0.0274901
+0.0271373
+0.0264252
+0.0255949
+0.0248636
+0.0242837
+0.023683
+0.0226253
+0.0209279
+0.0193169
+0.0177319
+0.0160909
+0.0145687
+0.0132347
+0.012123
+0.0112066
+0.0104286
+0.0100136
+0.00908112
+0.0079664
+0.00724095
+0.00679787
+0.00663335
+0.0066217
+0.0072282
+0.00838124
+0.00984943
+0.0114202
+0.0128582
+0.014446
+0.0161162
+0.017845
+0.0196014
+0.0212351
+0.0229574
+0.0247539
+0.0266095
+0.0285124
+0.0303827
+0.0322437
+0.031279
+0.0299577
+0.0287429
+0.0276485
+0.0266861
+0.0256734
+0.0247411
+0.0239662
+0.0233279
+0.0227652
+0.0223416
+0.0219126
+0.0216263
+0.021505
+0.021489
+0.0216954
+0.0220639
+0.0225683
+0.0232516
+0.0240217
+0.0248815
+0.0257002
+0.026259
+0.0269622
+0.0276699
+0.0282515
+0.0289662
+0.029718
+0.0306006
+0.0315288
+0.0325528
+0.0336522
+0.0348225
+0.0360756
+0.0374152
+0.0387723
+0.0401688
+0.0416212
+0.0431047
+0.0483238
+0.0470003
+0.0457345
+0.0445289
+0.0433542
+0.0422224
+0.0410981
+0.0399444
+0.0388587
+0.0377318
+0.0366671
+0.0356857
+0.0346154
+0.0332498
+0.0319762
+0.0307907
+0.0297141
+0.0287644
+0.0278846
+0.0271138
+0.0265022
+0.0260608
+0.0257093
+0.0250434
+0.0242114
+0.0235149
+0.0229269
+0.022398
+0.0219861
+0.021558
+0.0200268
+0.0183238
+0.0167175
+0.0152574
+0.0139591
+0.0128705
+0.0119603
+0.0112459
+0.0108362
+0.00996637
+0.00895291
+0.00830792
+0.007774
+0.00727333
+0.00731852
+0.00791409
+0.00894069
+0.0100448
+0.0114293
+0.0130064
+0.0145835
+0.0162459
+0.0177909
+0.0194079
+0.0210623
+0.0227977
+0.0246058
+0.0264718
+0.0283047
+0.0301393
+0.0318428
+0.0303922
+0.0290306
+0.0277752
+0.026541
+0.0254015
+0.0243302
+0.0233772
+0.0225764
+0.0219389
+0.0213801
+0.0209289
+0.0205305
+0.0203184
+0.0202175
+0.0202005
+0.0204198
+0.02079
+0.0213254
+0.0220639
+0.0229356
+0.0237985
+0.0247933
+0.0255446
+0.0261143
+0.026514
+0.0270855
+0.0277702
+0.0284935
+0.029353
+0.0302923
+0.0313415
+0.0324752
+0.0336866
+0.0349805
+0.0363415
+0.037668
+0.0390562
+0.0405154
+0.0420254
+0.046918
+0.0455536
+0.0442556
+0.0430183
+0.0418491
+0.0407027
+0.0395903
+0.0385311
+0.0374173
+0.0363737
+0.0353701
+0.0343664
+0.0334414
+0.0320258
+0.0307014
+0.0294732
+0.0283467
+0.0273495
+0.0264906
+0.0257317
+0.0251089
+0.0246291
+0.0243338
+0.0237198
+0.0228407
+0.0221441
+0.0216478
+0.0211684
+0.0207536
+0.0203963
+0.0201659
+0.0191259
+0.0175736
+0.0161667
+0.0149146
+0.0138713
+0.0129993
+0.0122581
+0.0118336
+0.0111309
+0.0100757
+0.00913043
+0.00860857
+0.00834344
+0.00844571
+0.00866879
+0.00935828
+0.0104286
+0.0116885
+0.0130544
+0.0145983
+0.0160915
+0.0176985
+0.0193564
+0.0210989
+0.0228478
+0.0246523
+0.0264219
+0.0282138
+0.0300539
+0.030617
+0.0292702
+0.0279384
+0.0265971
+0.0253388
+0.024131
+0.02303
+0.0220556
+0.0212516
+0.020633
+0.0200762
+0.019578
+0.0191523
+0.0189674
+0.0189898
+0.0190771
+0.0193092
+0.0196517
+0.0202172
+0.0209971
+0.0217831
+0.022646
+0.0236808
+0.0246874
+0.0249924
+0.0254368
+0.0259253
+0.0265474
+0.0273022
+0.0281703
+0.0291479
+0.0301876
+0.0313399
+0.0325987
+0.0339179
+0.0351815
+0.0365329
+0.0379626
+0.0394358
+0.0409341
+0.0455405
+0.0441682
+0.0428283
+0.0415607
+0.0403561
+0.0392256
+0.0380701
+0.0370083
+0.0359854
+0.0349284
+0.0339714
+0.033084
+0.0321422
+0.0308974
+0.0295224
+0.0282505
+0.0270863
+0.0260324
+0.0251229
+0.0243443
+0.0237254
+0.0232846
+0.0229802
+0.0223416
+0.0215476
+0.0208667
+0.0202954
+0.0198567
+0.0194801
+0.0192731
+0.0191278
+0.0190105
+0.0186201
+0.0172702
+0.0160819
+0.0150919
+0.0141877
+0.0135119
+0.0131242
+0.0122402
+0.0110767
+0.0102243
+0.00976113
+0.00959611
+0.00933682
+0.00952635
+0.0101578
+0.0109817
+0.0120332
+0.0133467
+0.0146322
+0.0161143
+0.0177433
+0.0194824
+0.0212524
+0.0230633
+0.0247846
+0.0265062
+0.0280734
+0.0282023
+0.0284994
+0.0280178
+0.0266657
+0.0254029
+0.0241265
+0.0228855
+0.0217667
+0.0207923
+0.0199873
+0.0193513
+0.0186893
+0.0182182
+0.017893
+0.0176994
+0.0177618
+0.0178888
+0.0181698
+0.0186226
+0.0191579
+0.0198392
+0.0207081
+0.021614
+0.0226715
+0.0235701
+0.0238424
+0.024257
+0.0247593
+0.0253334
+0.026077
+0.0269616
+0.0279813
+0.0290546
+0.0302296
+0.0315132
+0.0327598
+0.0340664
+0.0354603
+0.0369245
+0.0383959
+0.0399332
+0.04413
+0.0427851
+0.0414676
+0.0401571
+0.0389258
+0.0377605
+0.0366095
+0.035504
+0.0345023
+0.0334915
+0.032505
+0.0316294
+0.0308155
+0.0298871
+0.0284633
+0.0271419
+0.0259162
+0.0248122
+0.0238559
+0.023063
+0.0224197
+0.021954
+0.0216992
+0.0209897
+0.0202101
+0.0195114
+0.0189952
+0.0185903
+0.0182199
+0.018064
+0.0180386
+0.0179193
+0.0179173
+0.0179939
+0.0174473
+0.0164639
+0.0155949
+0.0149826
+0.0146058
+0.0134385
+0.012388
+0.01161
+0.0110555
+0.0106631
+0.0105318
+0.0107288
+0.0110439
+0.0117368
+0.0126863
+0.0137065
+0.0149612
+0.0164136
+0.0180159
+0.0197316
+0.0214827
+0.0231923
+0.0249771
+0.0259784
+0.0259331
+0.0260726
+0.0263937
+0.0267934
+0.0254652
+0.0241708
+0.0229428
+0.0217023
+0.0205704
+0.0195653
+0.0187482
+0.0179586
+0.0173535
+0.0169154
+0.0166845
+0.016533
+0.0164637
+0.0165991
+0.0169437
+0.0173213
+0.0179601
+0.0188261
+0.0196767
+0.020647
+0.0217173
+0.0224833
+0.0227362
+0.0231583
+0.0235938
+0.0241929
+0.0249596
+0.0258681
+0.0268899
+0.0279796
+0.0291819
+0.0304026
+0.0316842
+0.0330515
+0.0344628
+0.0359223
+0.0374236
+0.0389881
+0.0427852
+0.0413967
+0.0400788
+0.038817
+0.0375515
+0.0363637
+0.0352068
+0.0340558
+0.0329966
+0.0319956
+0.0310669
+0.0301493
+0.0293429
+0.0284968
+0.027418
+0.0261386
+0.0248525
+0.0236961
+0.0226929
+0.0218638
+0.0212198
+0.0207527
+0.0205002
+0.019707
+0.0189539
+0.0182563
+0.0177181
+0.0172091
+0.0168557
+0.0167339
+0.0168188
+0.0169258
+0.0168906
+0.0170539
+0.0174541
+0.0179425
+0.017167
+0.0165768
+0.0160092
+0.0148358
+0.0138884
+0.0129705
+0.0123066
+0.0119552
+0.0119733
+0.0118584
+0.0121442
+0.0126659
+0.0133803
+0.0143524
+0.0155731
+0.0169897
+0.0185447
+0.0201972
+0.0217913
+0.0234818
+0.0241004
+0.0238513
+0.023802
+0.0239538
+0.0242341
+0.0246611
+0.0243698
+0.0230467
+0.0217631
+0.0205017
+0.0193891
+0.0183945
+0.0173898
+0.0166038
+0.0159891
+0.0156338
+0.0154539
+0.0152856
+0.0151972
+0.0153874
+0.0156942
+0.0161156
+0.0168001
+0.0177305
+0.0187115
+0.0197093
+0.0206564
+0.0212701
+0.0217661
+0.0220655
+0.0225055
+0.0231154
+0.0238988
+0.0248216
+0.0258667
+0.0269716
+0.0280794
+0.0293002
+0.0306279
+0.0320506
+0.0335249
+0.0349671
+0.0364687
+0.0379921
+0.0415125
+0.0400799
+0.0387183
+0.0374327
+0.0362113
+0.0349943
+0.0337491
+0.0326036
+0.0315269
+0.0304908
+0.0295808
+0.0287309
+0.027869
+0.0270454
+0.0260107
+0.0249109
+0.0239065
+0.0227331
+0.0216853
+0.0208161
+0.0201486
+0.0196809
+0.0193476
+0.0185206
+0.0177521
+0.017095
+0.0165595
+0.0160096
+0.0156346
+0.0154835
+0.0155593
+0.0159021
+0.0158964
+0.0161102
+0.0166013
+0.017159
+0.0178131
+0.0179341
+0.0174215
+0.0161791
+0.015153
+0.014325
+0.0137303
+0.0134694
+0.0133009
+0.0132152
+0.0133734
+0.0137069
+0.0143705
+0.0152866
+0.0164381
+0.0177859
+0.0192316
+0.0206806
+0.0221567
+0.022494
+0.0220099
+0.0217368
+0.0216828
+0.021815
+0.022072
+0.02254
+0.0231983
+0.0219399
+0.0205959
+0.0193578
+0.018261
+0.017136
+0.0161568
+0.0153167
+0.0147003
+0.0143777
+0.0141636
+0.0141144
+0.0140727
+0.0141336
+0.0145095
+0.0150362
+0.0157678
+0.0167557
+0.0176507
+0.0186451
+0.0193052
+0.0199605
+0.0206589
+0.0209918
+0.021523
+0.0221334
+0.0228694
+0.0237732
+0.0248131
+0.0258733
+0.0270215
+0.028293
+0.0296719
+0.0310538
+0.0323862
+0.0338082
+0.0353089
+0.0368742
+0.0402946
+0.0388398
+0.0374332
+0.0361048
+0.0348613
+0.0336453
+0.0323545
+0.0311579
+0.0300734
+0.0290595
+0.0281033
+0.0272548
+0.0264463
+0.0256275
+0.0246441
+0.0235036
+0.0225189
+0.0216537
+0.0208485
+0.0199463
+0.0192486
+0.0187675
+0.0182078
+0.0174106
+0.0166656
+0.0159888
+0.0154445
+0.0150024
+0.0145733
+0.0143864
+0.014513
+0.014866
+0.0149532
+0.0152242
+0.0157431
+0.0163689
+0.0167423
+0.0168696
+0.0172556
+0.0175063
+0.0165627
+0.0158671
+0.0152915
+0.0149048
+0.014579
+0.0144206
+0.0145762
+0.0149724
+0.0155821
+0.0164607
+0.0174651
+0.0186185
+0.0198198
+0.0211296
+0.0211957
+0.0204721
+0.019941
+0.0196391
+0.0195793
+0.019631
+0.0199162
+0.0204336
+0.0211507
+0.0208591
+0.0195041
+0.0182314
+0.0170991
+0.0160072
+0.0150308
+0.0142028
+0.0135731
+0.013223
+0.0129596
+0.012934
+0.0128271
+0.0129413
+0.0133686
+0.0140403
+0.0148836
+0.015672
+0.0165734
+0.0175115
+0.0180245
+0.01871
+0.0195906
+0.0199219
+0.0204493
+0.0210753
+0.0218079
+0.0227232
+0.0238002
+0.0248517
+0.0260449
+0.0273138
+0.0285353
+0.0298369
+0.0312212
+0.0326939
+0.0341752
+0.0357271
+0.0391559
+0.0376586
+0.0362299
+0.0348557
+0.0335682
+0.032378
+0.0310459
+0.0297984
+0.0286625
+0.0276537
+0.0266755
+0.0257744
+0.0250292
+0.0242363
+0.02335
+0.0221738
+0.0211344
+0.0202696
+0.0195674
+0.0190194
+0.0182884
+0.0176262
+0.0170597
+0.0163246
+0.0155073
+0.0149043
+0.0144627
+0.0139736
+0.0136059
+0.0135057
+0.0136736
+0.0140477
+0.0141628
+0.014395
+0.0148974
+0.0156529
+0.015863
+0.0160354
+0.0164145
+0.016953
+0.0168802
+0.0170902
+0.0166991
+0.0162556
+0.0159331
+0.0157882
+0.0159305
+0.0163256
+0.0169566
+0.0176121
+0.0184437
+0.0193882
+0.0205218
+0.0202857
+0.0192811
+0.0184826
+0.017901
+0.0175642
+0.0174004
+0.0174486
+0.0177689
+0.0183456
+0.0191349
+0.0198034
+0.0184068
+0.0170991
+0.0159025
+0.0148416
+0.0139128
+0.0130847
+0.0124651
+0.0120063
+0.0117827
+0.0115907
+0.0116419
+0.0117893
+0.0122454
+0.0129237
+0.0137821
+0.0145334
+0.0155554
+0.0162359
+0.0167879
+0.0175037
+0.0184374
+0.0188851
+0.0194037
+0.0199961
+0.0207632
+0.0217249
+0.0228568
+0.0239273
+0.0249682
+0.0260992
+0.0273466
+0.0286442
+0.0300069
+0.0314595
+0.0329771
+0.0344651
+0.0381092
+0.036569
+0.0350981
+0.0337028
+0.0323695
+0.0311335
+0.0298392
+0.028539
+0.0273508
+0.0262918
+0.0252698
+0.0243589
+0.0235814
+0.0228409
+0.0219793
+0.0208832
+0.0198154
+0.0189294
+0.0182082
+0.0176963
+0.0170315
+0.0162745
+0.0156772
+0.0150982
+0.0143188
+0.0136987
+0.0132492
+0.0130334
+0.0127678
+0.0127029
+0.0129546
+0.0132659
+0.0132712
+0.0135812
+0.0141666
+0.0150451
+0.0151092
+0.0153895
+0.0157791
+0.0157551
+0.0157948
+0.0161022
+0.0164771
+0.0170615
+0.0173727
+0.0172899
+0.017434
+0.0178168
+0.0182352
+0.0186979
+0.0193967
+0.0202969
+0.0198232
+0.0185367
+0.0174316
+0.0165441
+0.0159012
+0.0154715
+0.0152135
+0.0152687
+0.0156337
+0.0162773
+0.017162
+0.0182678
+0.0173667
+0.0160053
+0.0147434
+0.0136961
+0.0127353
+0.0119799
+0.0113146
+0.0108641
+0.0105635
+0.0104099
+0.0104178
+0.0105595
+0.0110594
+0.0118922
+0.0126327
+0.0134656
+0.0145574
+0.0151557
+0.015741
+0.0164893
+0.0174306
+0.0178017
+0.0182904
+0.0189579
+0.0197653
+0.0207733
+0.0218437
+0.0227703
+0.0237761
+0.0248821
+0.0260792
+0.0273941
+0.0287942
+0.0301706
+0.031639
+0.0331789
+0.0371623
+0.0355811
+0.0340676
+0.032631
+0.0312786
+0.0299976
+0.0287281
+0.0273971
+0.0261571
+0.0250477
+0.0239795
+0.0230213
+0.0222277
+0.021503
+0.0206154
+0.0194773
+0.0185293
+0.0176581
+0.0169419
+0.0164475
+0.0158401
+0.015002
+0.0144085
+0.0138109
+0.0132828
+0.0126472
+0.0120048
+0.0117297
+0.0117997
+0.0119716
+0.0122513
+0.0124251
+0.0125457
+0.0128868
+0.0135761
+0.0145541
+0.0146119
+0.0148726
+0.0147748
+0.0146563
+0.014755
+0.0150045
+0.015372
+0.0160331
+0.0166671
+0.0175053
+0.0183192
+0.0192284
+0.0194389
+0.0198157
+0.0191184
+0.0186537
+0.0182806
+0.0168911
+0.0156703
+0.0146767
+0.0139142
+0.0133246
+0.0130279
+0.0130923
+0.0135162
+0.0142456
+0.0152486
+0.0164833
+0.0164103
+0.0149684
+0.0137038
+0.0125365
+0.0115444
+0.0107773
+0.0102486
+0.00971687
+0.00936987
+0.00915105
+0.00920125
+0.00936311
+0.00992521
+0.0106742
+0.0115557
+0.0124497
+0.0135843
+0.014302
+0.0149044
+0.0156333
+0.0164955
+0.0167374
+0.0172562
+0.018016
+0.0189186
+0.0199622
+0.0207009
+0.0215497
+0.0225174
+0.0236056
+0.0247978
+0.0260898
+0.0274166
+0.0288476
+0.0303694
+0.0319581
+0.0363165
+0.0347036
+0.03315
+0.0316718
+0.0302801
+0.028983
+0.0277344
+0.0263647
+0.0250965
+0.0239376
+0.0228227
+0.0218182
+0.0209903
+0.0201502
+0.0193982
+0.0181841
+0.0171648
+0.0163563
+0.0157655
+0.0152814
+0.0145373
+0.013776
+0.013128
+0.012742
+0.0122178
+0.0116394
+0.0109406
+0.0106362
+0.0107266
+0.0110782
+0.0113441
+0.0113208
+0.0115891
+0.0120941
+0.0128166
+0.0137305
+0.0137694
+0.0139072
+0.013725
+0.0136199
+0.0137887
+0.0139452
+0.0144045
+0.0151002
+0.0157238
+0.016567
+0.0174242
+0.0182139
+0.0187923
+0.0178092
+0.01703
+0.0165067
+0.016264
+0.0153693
+0.0140304
+0.0129113
+0.0118824
+0.0111862
+0.0108444
+0.0109216
+0.0114252
+0.0122687
+0.0134203
+0.0148083
+0.015552
+0.0140782
+0.0127578
+0.0115223
+0.0105126
+0.00972074
+0.00910719
+0.00865902
+0.00828048
+0.00803169
+0.0080063
+0.00819289
+0.00883349
+0.00952606
+0.0105111
+0.0114309
+0.0125726
+0.0136101
+0.0141568
+0.0149296
+0.0155303
+0.0157871
+0.0163363
+0.0171282
+0.0181205
+0.0187101
+0.0193316
+0.020128
+0.0210749
+0.0221819
+0.0234338
+0.0247289
+0.0261235
+0.0276216
+0.0291832
+0.0308143
+0.0355659
+0.0339265
+0.0323507
+0.030834
+0.0294024
+0.0280689
+0.0268482
+0.0254674
+0.024151
+0.0229442
+0.0218086
+0.0207732
+0.0198552
+0.0188633
+0.0178025
+0.0168878
+0.0159607
+0.0150937
+0.0144612
+0.0141433
+0.0132614
+0.0124144
+0.0117985
+0.0114088
+0.0110631
+0.0107618
+0.0101564
+0.00982771
+0.00993264
+0.0103718
+0.0103994
+0.010341
+0.0106144
+0.0112304
+0.0120673
+0.0127976
+0.0130634
+0.0129396
+0.0127668
+0.0126021
+0.0127975
+0.0130302
+0.0135747
+0.0141886
+0.0148954
+0.0157896
+0.0163496
+0.0170486
+0.0169173
+0.0158517
+0.0149709
+0.0143728
+0.0140934
+0.0140084
+0.0125478
+0.011137
+0.00991834
+0.00907267
+0.00866445
+0.00876097
+0.00936589
+0.0103781
+0.011717
+0.0132754
+0.0148543
+0.0133665
+0.0119977
+0.0107207
+0.00961073
+0.00866946
+0.00790562
+0.00742527
+0.00715804
+0.00701628
+0.00690185
+0.00713778
+0.00777711
+0.00846533
+0.00951226
+0.0106313
+0.0116231
+0.0127736
+0.0134683
+0.0143811
+0.0145837
+0.0148674
+0.01538
+0.0161682
+0.0169133
+0.0173009
+0.0179213
+0.0187097
+0.0197064
+0.0208785
+0.0221472
+0.0234909
+0.0249311
+0.0264617
+0.02808
+0.0297715
+0.0348334
+0.0332663
+0.0316576
+0.0301061
+0.0286381
+0.0272673
+0.026009
+0.024732
+0.023372
+0.0221227
+0.0209007
+0.0198128
+0.0187652
+0.0174352
+0.0162817
+0.0152988
+0.0145365
+0.0139393
+0.0133696
+0.013025
+0.0121135
+0.0112447
+0.0106296
+0.0101887
+0.0100685
+0.00984003
+0.00972747
+0.00938378
+0.00951791
+0.0100265
+0.00980974
+0.00963228
+0.00991234
+0.010492
+0.0113956
+0.0118604
+0.012307
+0.0120017
+0.0118168
+0.0116556
+0.0118666
+0.0122467
+0.0127335
+0.0133958
+0.0141249
+0.0147513
+0.0152886
+0.0160687
+0.0151274
+0.0139265
+0.012955
+0.0122589
+0.0119302
+0.0118688
+0.0111982
+0.00951563
+0.00807184
+0.00700676
+0.00649178
+0.00662004
+0.00738249
+0.00863051
+0.0101867
+0.011916
+0.0130741
+0.0127338
+0.0113662
+0.0101134
+0.00894948
+0.00782257
+0.00697817
+0.00634352
+0.00611161
+0.00598076
+0.00588111
+0.00616818
+0.00685188
+0.00756845
+0.00845924
+0.00959832
+0.0108006
+0.0118922
+0.0126213
+0.0133697
+0.0135187
+0.0137556
+0.0141503
+0.0147957
+0.0156172
+0.0159704
+0.0165877
+0.017431
+0.0184792
+0.0196394
+0.0209202
+0.022334
+0.0238301
+0.0254271
+0.0271072
+0.0288558
+0.0342224
+0.032658
+0.0310886
+0.0295231
+0.0280246
+0.0266222
+0.0253319
+0.0241493
+0.0227629
+0.0214575
+0.0201903
+0.0189673
+0.0175311
+0.0161196
+0.0148784
+0.0138324
+0.0130131
+0.0124493
+0.0121422
+0.0118794
+0.0110671
+0.0102649
+0.00962383
+0.00913589
+0.00903884
+0.00928444
+0.00943071
+0.00941103
+0.00954478
+0.010031
+0.00951747
+0.00933309
+0.00954732
+0.0101283
+0.0109547
+0.0110581
+0.0115272
+0.0110759
+0.0109703
+0.0109302
+0.0111574
+0.0114994
+0.0120764
+0.0127041
+0.0133489
+0.013827
+0.0144527
+0.0147468
+0.0133621
+0.0120909
+0.0109952
+0.0101776
+0.00977915
+0.00975192
+0.00996245
+0.00816023
+0.00642917
+0.0050472
+0.00433727
+0.00452578
+0.00555704
+0.00710639
+0.00887967
+0.0106121
+0.0110986
+0.0116432
+0.0109736
+0.00967002
+0.00847403
+0.0073296
+0.00645626
+0.00568568
+0.00533868
+0.00512255
+0.00517566
+0.00542861
+0.0059463
+0.00673882
+0.00755101
+0.00883243
+0.0100452
+0.0109957
+0.0117159
+0.0123023
+0.0123132
+0.0124877
+0.0129058
+0.0135802
+0.0144268
+0.0148084
+0.0154221
+0.0162629
+0.0173003
+0.018483
+0.0198323
+0.0212977
+0.0228732
+0.0245326
+0.0262699
+0.0280684
+0.0333551
+0.0321552
+0.0306237
+0.0290736
+0.027572
+0.0261453
+0.0248302
+0.0236453
+0.0223284
+0.0209959
+0.0196248
+0.0180221
+0.0164368
+0.0149531
+0.0136082
+0.0124875
+0.0116086
+0.0110636
+0.0108027
+0.0108464
+0.0102104
+0.00946617
+0.00886544
+0.00840265
+0.00834904
+0.00873764
+0.00932212
+0.00980672
+0.0100081
+0.0102549
+0.00965744
+0.00936414
+0.00949338
+0.0100757
+0.010187
+0.0103605
+0.0107261
+0.010299
+0.0101455
+0.0101983
+0.0105292
+0.010948
+0.0115847
+0.0122123
+0.0126839
+0.013171
+0.0138004
+0.0132267
+0.0116908
+0.010361
+0.00909585
+0.00815383
+0.00765068
+0.00767659
+0.00780571
+0.00713499
+0.00515872
+0.00336418
+0.00223207
+0.00254408
+0.00403537
+0.00590146
+0.00764811
+0.00872266
+0.00904547
+0.00967048
+0.0106828
+0.00966333
+0.00843049
+0.00732088
+0.006282
+0.00555246
+0.00507502
+0.00479669
+0.00469751
+0.00470045
+0.00508085
+0.00587549
+0.00684767
+0.00799852
+0.00925022
+0.0100705
+0.0107469
+0.0112728
+0.011245
+0.0114358
+0.0118433
+0.0125481
+0.0134894
+0.0137628
+0.014354
+0.0151928
+0.0162465
+0.0174951
+0.0188973
+0.0204277
+0.0220696
+0.023799
+0.0255766
+0.0274141
+0.0322184
+0.0311354
+0.0301662
+0.028768
+0.0272626
+0.0258459
+0.0245148
+0.0233138
+0.0221034
+0.0204683
+0.0187923
+0.0171548
+0.0155204
+0.0139521
+0.012534
+0.0113188
+0.0103858
+0.00981244
+0.00966816
+0.00974013
+0.00936509
+0.00876013
+0.00831555
+0.00806255
+0.00812974
+0.00859379
+0.00945026
+0.0102767
+0.0108634
+0.0108884
+0.0101468
+0.00978761
+0.00962088
+0.00914524
+0.00910541
+0.00944509
+0.00998188
+0.00965957
+0.00964022
+0.00961595
+0.0100433
+0.0105748
+0.0112281
+0.011913
+0.0123573
+0.0128069
+0.0134333
+0.0118666
+0.0101742
+0.00866481
+0.00736026
+0.00619051
+0.00556671
+0.0055869
+0.00567504
+0.00568583
+0.00443121
+0.00234876
+0.000463035
+0.00101161
+0.00298094
+0.0047446
+0.00579842
+0.00661912
+0.00703906
+0.00780469
+0.00902326
+0.0100971
+0.00888454
+0.00777056
+0.00679516
+0.00606009
+0.00547119
+0.00507009
+0.00464187
+0.00439856
+0.00458008
+0.00513043
+0.00611936
+0.00733179
+0.00867922
+0.00918016
+0.00994558
+0.0104201
+0.0104197
+0.0106408
+0.0110836
+0.0118212
+0.0126086
+0.0128843
+0.0134607
+0.0143079
+0.0154028
+0.0167145
+0.018177
+0.0197632
+0.0214501
+0.0232135
+0.0250426
+0.0269227
+0.0311874
+0.0300672
+0.0290692
+0.0282019
+0.0271145
+0.0256986
+0.0243928
+0.0231078
+0.021237
+0.0194093
+0.0176605
+0.0159907
+0.0144601
+0.0130586
+0.0116329
+0.0103681
+0.00936057
+0.00872083
+0.00852825
+0.00878524
+0.00868953
+0.00830739
+0.00811766
+0.00806173
+0.00837051
+0.00888974
+0.0097826
+0.0109859
+0.0119468
+0.0116316
+0.0108193
+0.00976915
+0.00880068
+0.00828147
+0.00822078
+0.0085998
+0.00934544
+0.00917252
+0.00931654
+0.00944877
+0.00984513
+0.0104297
+0.0110972
+0.0118233
+0.0123275
+0.0127633
+0.0127527
+0.0107688
+0.00888272
+0.00716098
+0.00571555
+0.00439986
+0.00354023
+0.00345179
+0.00361631
+0.0039352
+0.00275107
+0.00196068
+-0.000169797
+0.000242259
+0.00198309
+0.00287978
+0.00411475
+0.00459316
+0.00515915
+0.0061375
+0.00754433
+0.00907797
+0.00975945
+0.00867885
+0.00779721
+0.00715393
+0.00650422
+0.00595967
+0.00516926
+0.00465347
+0.00448273
+0.00496615
+0.00566816
+0.00673305
+0.00788986
+0.0084191
+0.0094376
+0.00994487
+0.00992071
+0.0101758
+0.0107244
+0.0114503
+0.0120486
+0.0122783
+0.0128327
+0.0136971
+0.0148371
+0.0161947
+0.0176746
+0.0192865
+0.0210034
+0.0228014
+0.0246611
+0.0265712
+0.0301969
+0.0291023
+0.0280934
+0.027195
+0.0263861
+0.0257031
+0.0242094
+0.0222579
+0.0203509
+0.0184982
+0.0166893
+0.014948
+0.0133211
+0.0118509
+0.0105719
+0.00959869
+0.00869106
+0.00799804
+0.00768127
+0.00793112
+0.00820939
+0.00806884
+0.00818697
+0.00847363
+0.00890776
+0.00961716
+0.0105191
+0.0116727
+0.0128567
+0.0113905
+0.0101161
+0.00903173
+0.00817442
+0.00764435
+0.00762242
+0.00812911
+0.00889552
+0.00891563
+0.00919617
+0.00973487
+0.0100612
+0.0106837
+0.011312
+0.0120532
+0.0125207
+0.0130456
+0.0120516
+0.0100344
+0.00797642
+0.00601302
+0.00427095
+0.00288038
+0.00172354
+0.00143271
+0.00171387
+0.0022458
+0.000847598
+0.000401117
+-0.000518194
+-0.00100033
+0.000233596
+0.00109501
+0.00236417
+0.00258758
+0.00337939
+0.00465371
+0.00614636
+0.00780865
+0.00953025
+0.00996868
+0.00918015
+0.00851107
+0.00791437
+0.00710282
+0.00624453
+0.00544874
+0.00480501
+0.00467454
+0.0052271
+0.00630327
+0.00678945
+0.00739086
+0.00830541
+0.00954959
+0.00982255
+0.0101719
+0.0107247
+0.0114506
+0.0117615
+0.0119783
+0.0125225
+0.0134069
+0.0145697
+0.0159075
+0.0174077
+0.0190422
+0.0207793
+0.0225952
+0.0244333
+0.0263076
+0.0292435
+0.0281663
+0.0271667
+0.0262706
+0.0254823
+0.0248215
+0.0235463
+0.0215558
+0.0195992
+0.0176938
+0.0158437
+0.014085
+0.0124116
+0.0108656
+0.0095227
+0.00848222
+0.00773204
+0.00745818
+0.0072205
+0.00748574
+0.00788358
+0.00816651
+0.00853441
+0.00908037
+0.00978923
+0.0105532
+0.0115678
+0.0126737
+0.012548
+0.0110277
+0.00970701
+0.00856962
+0.00774276
+0.00722325
+0.00723213
+0.0077947
+0.00880085
+0.00913442
+0.00940843
+0.0100678
+0.0106984
+0.0112724
+0.0118823
+0.0126636
+0.0130813
+0.0135944
+0.0115904
+0.00952331
+0.00750831
+0.00543307
+0.00341313
+0.00138193
+8.09551e-05
+-0.000451544
+-0.000462049
+8.03339e-05
+7.16717e-05
+-0.00145858
+-0.00201868
+-0.0022118
+-0.00147648
+-7.19811e-05
+0.000289552
+0.000764709
+0.00161352
+0.00312707
+0.00473206
+0.00652629
+0.00844547
+0.0104717
+0.0107825
+0.0101203
+0.00961895
+0.00854185
+0.00749742
+0.00608011
+0.00510743
+0.00479153
+0.00516013
+0.00588487
+0.00589559
+0.00651894
+0.00750238
+0.00884433
+0.0101878
+0.0105466
+0.0111207
+0.0118223
+0.0118313
+0.0119881
+0.0125319
+0.0134156
+0.0145777
+0.0159062
+0.0174096
+0.0190468
+0.0207224
+0.0224552
+0.0242441
+0.0260944
+0.0282104
+0.0271723
+0.0262718
+0.025462
+0.0246788
+0.0240384
+0.0230012
+0.0209781
+0.0189915
+0.0170549
+0.0151708
+0.0133509
+0.0116353
+0.0100625
+0.00870218
+0.00762852
+0.0068211
+0.00655663
+0.00681376
+0.00735514
+0.00787071
+0.00842299
+0.00917073
+0.00990012
+0.0107766
+0.0117114
+0.012744
+0.0139059
+0.0124384
+0.010941
+0.00966731
+0.00856899
+0.0076999
+0.00730725
+0.0073671
+0.00783038
+0.00876503
+0.00961437
+0.0101028
+0.0107376
+0.0116913
+0.0122044
+0.0127789
+0.0134984
+0.0139273
+0.0136317
+0.0114669
+0.00931421
+0.0071845
+0.00510666
+0.00303885
+0.00108255
+-0.000746899
+-0.00252432
+-0.00258329
+-0.00208488
+-0.00198272
+-0.00292568
+-0.00379612
+-0.00377229
+-0.00309614
+-0.0022285
+-0.0018402
+-0.00108502
+0.000210248
+0.00173328
+0.00358715
+0.0056571
+0.00778124
+0.00946081
+0.0111074
+0.0119146
+0.0111776
+0.00979497
+0.00819091
+0.00684198
+0.00589929
+0.005355
+0.00527008
+0.0052818
+0.00532518
+0.0059613
+0.00710136
+0.00855603
+0.0102044
+0.0112999
+0.011913
+0.0124769
+0.0122397
+0.0123914
+0.0129182
+0.0137697
+0.014822
+0.0160838
+0.0175156
+0.0190407
+0.0206658
+0.0223682
+0.0241278
+0.0259342
+0.0271686
+0.0261601
+0.0252535
+0.0244838
+0.0238673
+0.0233853
+0.0226151
+0.0205642
+0.0185453
+0.0165701
+0.0146559
+0.0128181
+0.0111019
+0.00948604
+0.0081369
+0.00709586
+0.00633936
+0.00617559
+0.00651459
+0.00727378
+0.0082333
+0.00900296
+0.00986217
+0.010947
+0.0118716
+0.0129859
+0.0140599
+0.0136326
+0.0119359
+0.010425
+0.00913783
+0.00810731
+0.00744989
+0.00724318
+0.00756991
+0.00820199
+0.009141
+0.0102332
+0.0111375
+0.0117462
+0.0126556
+0.0133986
+0.0139468
+0.0146088
+0.0150464
+0.0137988
+0.011665
+0.00950243
+0.00732442
+0.00515717
+0.0030238
+0.00098434
+-0.00102692
+-0.00298251
+-0.00463001
+-0.00426416
+-0.00411153
+-0.00465792
+-0.00567782
+-0.00570351
+-0.00491887
+-0.00421254
+-0.00382169
+-0.00252923
+-0.000814904
+0.00102991
+0.00284382
+0.00477127
+0.00647154
+0.00801742
+0.00968601
+0.0109504
+0.012367
+0.0107411
+0.00924928
+0.00790567
+0.00669555
+0.00585572
+0.00545153
+0.0049723
+0.00502527
+0.0056534
+0.00681877
+0.0083124
+0.00995604
+0.0116958
+0.0130048
+0.0131906
+0.0129665
+0.0131097
+0.0135093
+0.0141749
+0.0150959
+0.0162081
+0.0175215
+0.0189974
+0.0206009
+0.0222784
+0.0240242
+0.0258378
+0.0262311
+0.0251927
+0.0242988
+0.023524
+0.0229248
+0.0225103
+0.0222152
+0.0203302
+0.0182926
+0.0162949
+0.0143536
+0.012495
+0.0107521
+0.00917592
+0.00788021
+0.00688395
+0.00624982
+0.00619886
+0.00672984
+0.0075621
+0.0087357
+0.00981789
+0.0108672
+0.0119413
+0.0132199
+0.0142497
+0.0151986
+0.0133795
+0.0116461
+0.0100919
+0.00878967
+0.00779264
+0.00721461
+0.00710292
+0.00749847
+0.00832505
+0.00950401
+0.0109696
+0.0121007
+0.0130143
+0.0138888
+0.014822
+0.0153402
+0.0159445
+0.0155808
+0.0134877
+0.011415
+0.00929021
+0.00717894
+0.00500691
+0.0028634
+0.000743251
+-0.00107348
+-0.00309498
+-0.00524033
+-0.0064471
+-0.00625728
+-0.00662757
+-0.00763463
+-0.00772376
+-0.00679932
+-0.00627295
+-0.00540266
+-0.0034226
+-0.00171876
+7.71585e-05
+0.00187514
+0.00357594
+0.0049377
+0.00659002
+0.00790648
+0.00931898
+0.0107196
+0.0118223
+0.0102213
+0.00875667
+0.00753791
+0.00655322
+0.00572493
+0.00509167
+0.00526084
+0.00586856
+0.00693869
+0.0083697
+0.00998152
+0.0117284
+0.0135788
+0.0140902
+0.0137058
+0.0136385
+0.0139201
+0.0144793
+0.0153217
+0.0164151
+0.0177076
+0.0191136
+0.0206182
+0.0222294
+0.0239156
+0.0256658
+0.025375
+0.0243394
+0.0234145
+0.0226644
+0.0220788
+0.0216431
+0.0213968
+0.0202957
+0.0182661
+0.0162648
+0.0143191
+0.012455
+0.0107152
+0.00917078
+0.00790366
+0.00704534
+0.00652425
+0.00661593
+0.00724255
+0.00827218
+0.00942565
+0.0107863
+0.0119634
+0.0131831
+0.0143789
+0.0157066
+0.0151208
+0.0132957
+0.0115976
+0.0100382
+0.008751
+0.00780984
+0.00735844
+0.00736477
+0.00785725
+0.00867462
+0.00985455
+0.0113085
+0.0129417
+0.014367
+0.0152936
+0.0163268
+0.0168912
+0.0173427
+0.0152557
+0.0131675
+0.0110633
+0.00898648
+0.00691672
+0.00480024
+0.00280032
+0.00100509
+-0.00108764
+-0.00318168
+-0.00531396
+-0.00736227
+-0.00842469
+-0.00870353
+-0.00944378
+-0.0096227
+-0.00880066
+-0.00828553
+-0.00635968
+-0.00431814
+-0.00240192
+-0.00100604
+0.000710695
+0.00190853
+0.00349779
+0.00487746
+0.00631987
+0.00764256
+0.0092992
+0.0110029
+0.0112566
+0.00975701
+0.00804625
+0.00651394
+0.00541821
+0.00490447
+0.00510503
+0.00595341
+0.00725884
+0.00881042
+0.0103704
+0.0120841
+0.0138943
+0.0147032
+0.014309
+0.0142446
+0.0144927
+0.0148939
+0.0155954
+0.016559
+0.0177422
+0.0191042
+0.0205741
+0.0221335
+0.023773
+0.0254898
+0.024594
+0.0235544
+0.0226479
+0.0218714
+0.0212929
+0.0208967
+0.0206685
+0.0204375
+0.0184302
+0.0164698
+0.0145746
+0.0127413
+0.0110275
+0.0095115
+0.00829335
+0.00750106
+0.00709501
+0.00727396
+0.00799468
+0.00909816
+0.010414
+0.0117195
+0.0131817
+0.0144484
+0.0157335
+0.0170085
+0.0153026
+0.013502
+0.0118191
+0.010309
+0.00907286
+0.00816834
+0.00773788
+0.00785855
+0.00840372
+0.00928278
+0.0104515
+0.0118784
+0.013474
+0.0151981
+0.0168669
+0.0178218
+0.0185655
+0.0167748
+0.0147345
+0.0127441
+0.0108314
+0.00893073
+0.00701271
+0.00517984
+0.00314749
+0.00114277
+-0.000850064
+-0.00276502
+-0.004783
+-0.00688699
+-0.00899602
+-0.0107405
+-0.0113077
+-0.0115686
+-0.0108743
+-0.00903369
+-0.00706889
+-0.00528482
+-0.00380694
+-0.00225455
+-0.00105851
+0.000468177
+0.00197533
+0.00335934
+0.00459394
+0.00629064
+0.00801215
+0.00973142
+0.0113243
+0.00954993
+0.00792708
+0.00644883
+0.0053466
+0.00482455
+0.00499596
+0.00581343
+0.00708324
+0.00870053
+0.0104824
+0.0123769
+0.0143463
+0.0154731
+0.0149756
+0.0147338
+0.014808
+0.0152009
+0.0158655
+0.0167522
+0.0178188
+0.0190783
+0.0204952
+0.0219998
+0.02357
+0.0252328
+0.0239529
+0.0228842
+0.021981
+0.0212256
+0.0206291
+0.0202404
+0.0200432
+0.020046
+0.0188275
+0.0169003
+0.0150453
+0.0132921
+0.0116501
+0.0102135
+0.0090832
+0.00833136
+0.00804075
+0.00824147
+0.00892375
+0.0100117
+0.0113507
+0.0128692
+0.0142463
+0.0157787
+0.0171171
+0.0175543
+0.0157039
+0.0139249
+0.0122687
+0.0108045
+0.00960713
+0.00879683
+0.00839864
+0.00855079
+0.00909271
+0.0100518
+0.0112749
+0.0126508
+0.0142035
+0.0158771
+0.0176319
+0.0194373
+0.0182542
+0.0161641
+0.0140352
+0.0119288
+0.00985909
+0.00785533
+0.00598407
+0.00413339
+0.00258457
+0.00134585
+-0.000474326
+-0.00258717
+-0.00476495
+-0.00690684
+-0.00904746
+-0.0111927
+-0.0132521
+-0.0135821
+-0.011903
+-0.0100222
+-0.00828927
+-0.00672614
+-0.00508558
+-0.00364324
+-0.00221424
+-0.000828086
+0.000619793
+0.00164642
+0.00341536
+0.00514915
+0.00687005
+0.00865487
+0.0102695
+0.0095809
+0.00797301
+0.00657633
+0.00555578
+0.00511867
+0.00526687
+0.00604165
+0.00730758
+0.00890928
+0.0106941
+0.012557
+0.0145117
+0.0160703
+0.0155152
+0.0152139
+0.0152181
+0.0154813
+0.016042
+0.0168707
+0.0179303
+0.0191156
+0.0203996
+0.0218245
+0.0233303
+0.0246111
+0.0233884
+0.022322
+0.0214203
+0.020683
+0.0201244
+0.0197364
+0.0195782
+0.0196051
+0.0194253
+0.0175638
+0.015787
+0.0141108
+0.0125739
+0.0112551
+0.0102364
+0.00955071
+0.00931363
+0.00951639
+0.010145
+0.0111478
+0.0124379
+0.0139056
+0.0154935
+0.0169309
+0.0185003
+0.0180917
+0.0163024
+0.0145965
+0.013026
+0.0116573
+0.0105382
+0.00977436
+0.0094383
+0.00956726
+0.0100492
+0.010919
+0.0121268
+0.013533
+0.0150274
+0.0166392
+0.0183712
+0.0198353
+0.0177172
+0.0156006
+0.0135013
+0.0114195
+0.00931035
+0.00715453
+0.00502893
+0.00299826
+0.00116843
+-0.000382679
+-0.00168444
+-0.00339773
+-0.00530076
+-0.00736493
+-0.00948602
+-0.0115669
+-0.0129796
+-0.0138535
+-0.0130429
+-0.0112299
+-0.0093755
+-0.00769563
+-0.00604976
+-0.00456635
+-0.00288048
+-0.00141092
+4.1456e-05
+0.0012802
+0.00255718
+0.00399633
+0.00573273
+0.00739006
+0.00922873
+0.009712
+0.00814476
+0.00681797
+0.00590203
+0.005549
+0.00584565
+0.00666437
+0.00791476
+0.0094576
+0.0111672
+0.0129966
+0.0149234
+0.0165924
+0.0160139
+0.0156722
+0.0156237
+0.0158801
+0.0163418
+0.0169924
+0.0178892
+0.0189975
+0.0202826
+0.0214556
+0.0226568
+0.0239846
+0.0229581
+0.0219039
+0.0210042
+0.0202563
+0.0197246
+0.0193818
+0.0192323
+0.0193261
+0.0195792
+0.0184546
+0.0167441
+0.0151577
+0.0137384
+0.0125414
+0.0116358
+0.0110335
+0.0108289
+0.0110361
+0.0116044
+0.0125195
+0.0136883
+0.0150724
+0.0166249
+0.0182387
+0.0197188
+0.0187248
+0.0169717
+0.0153316
+0.0138447
+0.0125498
+0.0115058
+0.0108105
+0.0104965
+0.0106236
+0.0111275
+0.0119992
+0.0131109
+0.0144398
+0.0159399
+0.0175287
+0.0192248
+0.0194806
+0.0173371
+0.0152071
+0.0130972
+0.0109796
+0.00886781
+0.0067156
+0.00458601
+0.00245363
+0.000326045
+-0.00171175
+-0.00332989
+-0.00446229
+-0.00571895
+-0.00733954
+-0.00885505
+-0.0101836
+-0.0111389
+-0.0117994
+-0.0127397
+-0.0122185
+-0.0105395
+-0.00886249
+-0.00726292
+-0.00567463
+-0.00404153
+-0.00240457
+-0.000771853
+0.000709128
+0.00155852
+0.00311026
+0.00474143
+0.0063024
+0.00804903
+0.00969743
+0.00854569
+0.00737626
+0.00655425
+0.00627461
+0.00656242
+0.00743234
+0.00867912
+0.0101784
+0.0118615
+0.0136756
+0.01555
+0.0172558
+0.016611
+0.0161583
+0.0159955
+0.0161141
+0.0164849
+0.01713
+0.01802
+0.0190208
+0.0198892
+0.0209516
+0.0221801
+0.0235348
+0.0227002
+0.0216334
+0.0207439
+0.0200277
+0.0194898
+0.0191776
+0.0190347
+0.0191349
+0.0194678
+0.0195143
+0.0179053
+0.0164314
+0.015132
+0.0140532
+0.0132359
+0.0126943
+0.0125169
+0.01272
+0.0132237
+0.014036
+0.0151105
+0.0163793
+0.0178238
+0.0193942
+0.021045
+0.019516
+0.0178409
+0.0162886
+0.0148884
+0.0136932
+0.0127649
+0.0121268
+0.0118412
+0.0119568
+0.0124397
+0.0132273
+0.0143057
+0.0155624
+0.0169649
+0.0185093
+0.0201441
+0.0193686
+0.0172112
+0.0150635
+0.0129301
+0.0108078
+0.00870704
+0.00663577
+0.00452734
+0.0024778
+0.000601127
+-0.0010497
+-0.00209873
+-0.00321933
+-0.00487552
+-0.00627351
+-0.00746185
+-0.00853147
+-0.00904677
+-0.00979243
+-0.0109062
+-0.010756
+-0.0107782
+-0.0101467
+-0.00864046
+-0.00699519
+-0.00535992
+-0.00373155
+-0.0023491
+-0.00089538
+0.000345767
+0.00166648
+0.00323562
+0.00503225
+0.00694703
+0.00833414
+0.00928146
+0.00818585
+0.00748399
+0.00727631
+0.00759646
+0.00841529
+0.00961875
+0.0110627
+0.0127011
+0.0144642
+0.0163232
+0.0177423
+0.0170399
+0.016599
+0.0164036
+0.0164528
+0.0167059
+0.017204
+0.0179296
+0.0186419
+0.0195747
+0.0206687
+0.0219131
+0.0232833
+0.0226522
+0.0215831
+0.0206914
+0.0199733
+0.0194338
+0.0191315
+0.0190585
+0.0191586
+0.0195058
+0.0200871
+0.0192387
+0.0178752
+0.0166825
+0.0156819
+0.0149378
+0.0144764
+0.0143211
+0.014499
+0.0149511
+0.0156844
+0.0166752
+0.0178458
+0.0191802
+0.0206612
+0.0221859
+0.0204948
+0.0189063
+0.0174382
+0.0161348
+0.015039
+0.0141989
+0.0136202
+0.0133665
+0.013469
+0.0139135
+0.0146196
+0.0156038
+0.0168173
+0.018177
+0.0196263
+0.0212032
+0.0194186
+0.0173171
+0.0151836
+0.013069
+0.0109843
+0.00895035
+0.00701151
+0.00503606
+0.0032532
+0.00158761
+0.000330731
+-0.000878943
+-0.00240159
+-0.00369622
+-0.00471455
+-0.00570201
+-0.00639354
+-0.00696495
+-0.00788391
+-0.00876793
+-0.00858034
+-0.00875461
+-0.00904685
+-0.00913514
+-0.00841796
+-0.00680394
+-0.00540763
+-0.00391168
+-0.00261128
+-0.00135251
+0.000215084
+0.00208751
+0.0039473
+0.00568104
+0.00724075
+0.00904212
+0.00935064
+0.00872847
+0.00854679
+0.00886557
+0.00963319
+0.0107284
+0.0121096
+0.013688
+0.0153703
+0.0171534
+0.0183001
+0.0175462
+0.0170095
+0.0167035
+0.0166341
+0.0167871
+0.0170795
+0.0175553
+0.0182822
+0.0192167
+0.020299
+0.0215398
+0.0229135
+0.0227515
+0.0217093
+0.020846
+0.0201582
+0.0196239
+0.0193245
+0.0192523
+0.0193514
+0.0196952
+0.0202712
+0.0206975
+0.0194365
+0.0183263
+0.0174205
+0.0167538
+0.016337
+0.0161995
+0.016357
+0.0167709
+0.0174278
+0.0183246
+0.0194281
+0.0206682
+0.0220483
+0.0232483
+0.0216404
+0.0201423
+0.0187712
+0.0175637
+0.0165474
+0.0157719
+0.0152574
+0.0150313
+0.0151226
+0.0155034
+0.0161541
+0.0170585
+0.0181737
+0.0194549
+0.0208597
+0.0214757
+0.0195373
+0.0175351
+0.0154937
+0.0134377
+0.0114199
+0.00945864
+0.00757749
+0.00585242
+0.00425298
+0.00284737
+0.00153056
+0.000190435
+-0.00106379
+-0.00192314
+-0.00284135
+-0.00369613
+-0.0042808
+-0.00494301
+-0.00604018
+-0.00666258
+-0.00641494
+-0.00660988
+-0.00692007
+-0.00718005
+-0.00737932
+-0.0067588
+-0.00587348
+-0.00512255
+-0.00430335
+-0.00263694
+-0.000831654
+0.000954469
+0.0027491
+0.00448489
+0.00640505
+0.0080786
+0.00985504
+0.0102705
+0.0101165
+0.0104067
+0.0110679
+0.0120782
+0.0133379
+0.0148001
+0.0164191
+0.0181493
+0.0188005
+0.0180366
+0.0174404
+0.0169054
+0.0165924
+0.01652
+0.0167261
+0.0172109
+0.0179063
+0.0188263
+0.0199451
+0.0211956
+0.0225871
+0.0230326
+0.0220037
+0.0211524
+0.0205008
+0.0200217
+0.0197283
+0.019676
+0.0197863
+0.0201226
+0.0206867
+0.0214208
+0.0210946
+0.0200749
+0.0192515
+0.0186503
+0.0182709
+0.0181481
+0.0182887
+0.0186706
+0.0192628
+0.0200778
+0.0210898
+0.0222689
+0.0235561
+0.0244611
+0.0229362
+0.0215084
+0.0202176
+0.0190916
+0.018161
+0.0174573
+0.0169939
+0.0167913
+0.016873
+0.0172152
+0.0178034
+0.0186321
+0.0196621
+0.020845
+0.0221738
+0.0206146
+0.018803
+0.0170428
+0.0153401
+0.0137605
+0.0120033
+0.0101799
+0.00848642
+0.00691235
+0.00546043
+0.00405103
+0.00286834
+0.00165474
+0.000800856
+-0.000139226
+-0.000908258
+-0.00169967
+-0.00217754
+-0.00302864
+-0.00397172
+-0.00457438
+-0.00427259
+-0.00450783
+-0.00473778
+-0.0050209
+-0.00532748
+-0.00553648
+-0.00492323
+-0.00428425
+-0.00361885
+-0.00286582
+-0.00150558
+0.000214221
+0.00176328
+0.0035679
+0.00552123
+0.00740263
+0.00924854
+0.0112192
+0.0118677
+0.0121368
+0.0127133
+0.0136081
+0.0147641
+0.0161074
+0.0176122
+0.0192491
+0.0191259
+0.0181272
+0.0173426
+0.0167945
+0.0164785
+0.0163969
+0.0166046
+0.0170643
+0.017759
+0.0186862
+0.0198114
+0.0210649
+0.0224624
+0.0234456
+0.0224356
+0.0216013
+0.0209637
+0.020541
+0.0203006
+0.0202497
+0.0204042
+0.0207456
+0.0212818
+0.0219951
+0.0228413
+0.0219031
+0.021151
+0.0206015
+0.0202571
+0.0201464
+0.0202732
+0.0206246
+0.0211622
+0.0219067
+0.0228378
+0.0239337
+0.0251644
+0.0257764
+0.0243244
+0.0229829
+0.0217797
+0.0207387
+0.0198853
+0.0192448
+0.0188254
+0.0186427
+0.0187163
+0.0190254
+0.0195592
+0.0203165
+0.0212674
+0.0223633
+0.0218066
+0.0198965
+0.0180295
+0.0162102
+0.0144657
+0.0128202
+0.0111998
+0.00960472
+0.00816879
+0.00693686
+0.00606515
+0.00544387
+0.00435607
+0.00345062
+0.00270789
+0.00190526
+0.00105575
+0.000376421
+-0.000140845
+-0.00113229
+-0.00197358
+-0.00259721
+-0.00215795
+-0.0024216
+-0.002558
+-0.00288114
+-0.00316249
+-0.00365107
+-0.00408282
+-0.0039368
+-0.00351874
+-0.00253269
+-0.00138625
+-0.000279389
+0.0012598
+0.00306447
+0.00472936
+0.00665503
+0.00859541
+0.0105417
+0.0125687
+0.0139785
+0.014498
+0.0152968
+0.0163363
+0.0175861
+0.0189788
+0.0204258
+0.0192717
+0.0182749
+0.017497
+0.0169233
+0.0166097
+0.0165288
+0.0167349
+0.0171911
+0.0178809
+0.0187974
+0.0198741
+0.0211238
+0.0225177
+0.0240517
+0.0230683
+0.0222577
+0.0216394
+0.0212302
+0.0210423
+0.021037
+0.0211858
+0.0215261
+0.0220564
+0.0227666
+0.0236387
+0.0237927
+0.0231021
+0.0225953
+0.0222817
+0.0221812
+0.0222964
+0.0226212
+0.0231124
+0.0237959
+0.0246558
+0.0256742
+0.0268333
+0.0271924
+0.025824
+0.0245646
+0.0234426
+0.0224787
+0.021694
+0.0211084
+0.0207268
+0.0205609
+0.0206277
+0.0209086
+0.0213933
+0.0220764
+0.022949
+0.0233361
+0.0213349
+0.0193605
+0.0174354
+0.0155604
+0.0137578
+0.0120367
+0.0104272
+0.00885122
+0.00734575
+0.00603323
+0.00486105
+0.00421257
+0.0041876
+0.00434736
+0.00465183
+0.00390209
+0.00305298
+0.00246669
+0.00177084
+0.000817358
+-5.95142e-05
+-0.000462741
+-9.29199e-05
+-0.000305052
+-0.000379716
+-0.000749285
+-0.0010204
+-0.0017069
+-0.00255981
+-0.00390655
+-0.00419351
+-0.00301744
+-0.00163896
+-0.00024687
+0.00110333
+0.00249479
+0.00428913
+0.00613645
+0.008052
+0.0100803
+0.012165
+0.0142771
+0.0163589
+0.0170925
+0.018038
+0.0191772
+0.020488
+0.0205286
+0.0193495
+0.0183571
+0.0175829
+0.0170257
+0.0167149
+0.0166601
+0.0168646
+0.0173455
+0.0180749
+0.0189869
+0.0200972
+0.0213751
+0.0227645
+0.0248369
+0.0238859
+0.023104
+0.022509
+0.0221158
+0.0219355
+0.0219731
+0.0221572
+0.0224828
+0.0230036
+0.023702
+0.0245536
+0.0255512
+0.0250928
+0.0246225
+0.0243351
+0.0242431
+0.0243485
+0.0246491
+0.0251023
+0.025733
+0.0265301
+0.0274792
+0.0285651
+0.0287059
+0.0274167
+0.0262339
+0.0251864
+0.0242918
+0.0235675
+0.023017
+0.022657
+0.0225054
+0.0225664
+0.0228366
+0.0232729
+0.0239023
+0.0247106
+0.0230833
+0.0210581
+0.0190551
+0.0170956
+0.0151785
+0.0133244
+0.0115702
+0.00988512
+0.00825761
+0.00655972
+0.00503043
+0.00384892
+0.00306796
+0.00280562
+0.00350574
+0.00437687
+0.00542767
+0.00509676
+0.00457984
+0.00368272
+0.00269496
+0.00194763
+0.00168498
+0.00196826
+0.00182636
+0.00180405
+0.00137194
+0.00100709
+0.000197347
+-0.00102287
+-0.00274717
+-0.00444168
+-0.00422982
+-0.00243559
+-0.00101008
+0.000396947
+0.00198459
+0.00390516
+0.00586778
+0.00786062
+0.00989568
+0.0119254
+0.0140036
+0.0161117
+0.0182393
+0.0198321
+0.0208772
+0.0220865
+0.0207651
+0.0196002
+0.018621
+0.0178538
+0.0173149
+0.0170273
+0.0169735
+0.0171742
+0.0176467
+0.01837
+0.0192875
+0.020395
+0.021664
+0.0230634
+0.0257849
+0.0248701
+0.0241202
+0.0235508
+0.0231754
+0.0230033
+0.0230392
+0.0232408
+0.0236047
+0.0241105
+0.0247804
+0.025587
+0.0265453
+0.0271144
+0.0266756
+0.0264106
+0.0263257
+0.0264229
+0.0267001
+0.0271231
+0.0277079
+0.0284498
+0.0293368
+0.0303563
+0.0303024
+0.029087
+0.0279753
+0.0269955
+0.0261628
+0.0254764
+0.0249601
+0.0246284
+0.024489
+0.0245451
+0.0247954
+0.0252028
+0.0257852
+0.0250937
+0.023037
+0.0210073
+0.0189989
+0.017033
+0.0151078
+0.0131969
+0.0112353
+0.00937037
+0.00762888
+0.00585731
+0.00410816
+0.00275703
+0.00177596
+0.00175051
+0.00274259
+0.00386171
+0.00517849
+0.00669774
+0.00662528
+0.00556614
+0.00471162
+0.00403346
+0.00383323
+0.00406142
+0.00396232
+0.00398831
+0.00349906
+0.00288778
+0.00189001
+0.000320697
+-0.0013923
+-0.00296923
+-0.0043923
+-0.00342501
+-0.00194822
+-0.00021226
+0.00184852
+0.0039313
+0.00585541
+0.00785194
+0.00983164
+0.0118645
+0.0139453
+0.0160553
+0.0181844
+0.0202858
+0.0223836
+0.0224244
+0.0211245
+0.0199805
+0.0190209
+0.0182747
+0.017769
+0.0175176
+0.0174923
+0.0177395
+0.0182083
+0.0189102
+0.0198029
+0.0208831
+0.0221281
+0.0235116
+0.0268772
+0.026002
+0.0252857
+0.0247432
+0.0243861
+0.0242227
+0.0242314
+0.0244244
+0.0247867
+0.0253203
+0.0259919
+0.0267581
+0.0276759
+0.0287317
+0.0287416
+0.0284958
+0.0284172
+0.0285073
+0.0287643
+0.0291685
+0.0297131
+0.0304061
+0.0312376
+0.032197
+0.0319692
+0.0308197
+0.029776
+0.0288574
+0.0280626
+0.0274202
+0.0269411
+0.0266341
+0.0265053
+0.0265571
+0.0267886
+0.0271723
+0.0259933
+0.0244775
+0.0224269
+0.0204054
+0.0183687
+0.0163396
+0.014358
+0.0124467
+0.0105612
+0.00855942
+0.00665297
+0.00485865
+0.00338786
+0.00164546
+0.000400203
+0.000378188
+0.001778
+0.00345019
+0.00518971
+0.00676779
+0.00849721
+0.00748828
+0.00676782
+0.00615741
+0.00597949
+0.00618116
+0.00610142
+0.0061665
+0.00565989
+0.00455175
+0.00284913
+0.00114335
+-0.000429135
+-0.00183393
+-0.00327353
+-0.00310777
+-0.00133503
+0.000412888
+0.00228201
+0.00432762
+0.00630778
+0.00810126
+0.0100534
+0.0120876
+0.0141448
+0.0162289
+0.018316
+0.0203814
+0.0224706
+0.0229165
+0.0216463
+0.0205313
+0.0195987
+0.0188754
+0.0183862
+0.0181433
+0.0181189
+0.0183577
+0.0188498
+0.0195761
+0.020485
+0.0215715
+0.0227903
+0.0241359
+0.0280668
+0.02725
+0.0265673
+0.0260515
+0.0257091
+0.0255177
+0.0255137
+0.0256972
+0.0260522
+0.0265603
+0.0272356
+0.02805
+0.0289284
+0.0299401
+0.0308223
+0.0305932
+0.03052
+0.0306039
+0.0308435
+0.0312336
+0.0317428
+0.0323923
+0.0331741
+0.034079
+0.0336961
+0.0326076
+0.0316228
+0.0307435
+0.0299987
+0.0293987
+0.0289523
+0.0286669
+0.0285473
+0.0285954
+0.0273934
+0.0258424
+0.0243785
+0.0230137
+0.0217199
+0.0196258
+0.0175552
+0.0155176
+0.0135044
+0.0114515
+0.00946055
+0.00757268
+0.00587372
+0.00393436
+0.00218089
+0.000883596
+-0.000767424
+-0.000655707
+0.00141461
+0.00334479
+0.00517353
+0.00689859
+0.00865791
+0.00952706
+0.00881706
+0.00831522
+0.00814438
+0.00832997
+0.00826526
+0.00832465
+0.0071837
+0.00528327
+0.00347814
+0.00191754
+0.000368122
+-0.000942917
+-0.00171441
+-0.0017681
+-0.00026789
+0.00140476
+0.00321561
+0.005057
+0.0068473
+0.00871342
+0.0106936
+0.0126275
+0.0146319
+0.016668
+0.0186767
+0.0207062
+0.0227656
+0.0235887
+0.0223563
+0.0212786
+0.0203802
+0.0196856
+0.019217
+0.0189733
+0.0189499
+0.0191784
+0.01965
+0.0203477
+0.0212481
+0.0222989
+0.023501
+0.0248342
+0.0293715
+0.0285718
+0.0279214
+0.0274311
+0.0270989
+0.0269174
+0.0269136
+0.0270875
+0.027434
+0.0279172
+0.0285604
+0.0293535
+0.0302835
+0.0312516
+0.0323314
+0.0327029
+0.0326344
+0.0327129
+0.0329371
+0.0333043
+0.0337926
+0.0344035
+0.0351406
+0.0359961
+0.0354743
+0.034442
+0.0334965
+0.0326677
+0.0319678
+0.0314054
+0.030988
+0.0307215
+0.0294577
+0.0276958
+0.0259967
+0.0243683
+0.0228309
+0.0213983
+0.0200544
+0.0188641
+0.0168854
+0.0148049
+0.0127042
+0.0106397
+0.00862934
+0.00657885
+0.0045655
+0.00278004
+0.001258
+-0.000809902
+-0.00193044
+-0.00111329
+0.000759177
+0.00281435
+0.00494478
+0.00709914
+0.00916529
+0.0110378
+0.0109098
+0.0104867
+0.0102629
+0.0104642
+0.0104233
+0.00979436
+0.00800333
+0.00624296
+0.00459299
+0.00292966
+0.00170841
+0.000874379
+0.00010758
+0.000151333
+0.00125723
+0.00272586
+0.00421721
+0.00597457
+0.00770663
+0.00946502
+0.0113144
+0.0132681
+0.0152862
+0.0173426
+0.0192811
+0.021253
+0.023264
+0.0244281
+0.0232402
+0.0222055
+0.0213461
+0.020684
+0.0202386
+0.0199965
+0.0199743
+0.0201912
+0.0206396
+0.021305
+0.0221677
+0.0231755
+0.02433
+0.0256201
+0.0307582
+0.0299955
+0.0293767
+0.028911
+0.0285891
+0.0284171
+0.0284135
+0.0285784
+0.0289087
+0.0293749
+0.0299869
+0.0307432
+0.0316334
+0.0326466
+0.0336932
+0.0348225
+0.0347583
+0.0348319
+0.0350426
+0.035388
+0.035859
+0.0364353
+0.0371321
+0.0379427
+0.0372964
+0.0363052
+0.0354066
+0.0346236
+0.033964
+0.0334351
+0.0319803
+0.030106
+0.0282715
+0.0264803
+0.0247003
+0.0229914
+0.0213588
+0.0198338
+0.0184343
+0.0171382
+0.0159472
+0.0142077
+0.0120751
+0.0099671
+0.00790418
+0.00579678
+0.0037659
+0.001747
+-0.000292416
+-0.001704
+-0.00355444
+-0.00184069
+0.000308316
+0.00244208
+0.00461428
+0.00679836
+0.00898566
+0.0111743
+0.0130318
+0.0126233
+0.0124065
+0.0125735
+0.0125675
+0.0108553
+0.00913869
+0.00745225
+0.00583509
+0.00448578
+0.00344253
+0.0025078
+0.00209236
+0.00222855
+0.00310832
+0.00431877
+0.00570679
+0.00719796
+0.00883442
+0.0105091
+0.0122841
+0.0141175
+0.016029
+0.0180042
+0.0200244
+0.0220052
+0.0239532
+0.0254165
+0.0242771
+0.0232885
+0.0224706
+0.0218426
+0.0214212
+0.0211929
+0.0211719
+0.0213767
+0.0218007
+0.0224278
+0.0232262
+0.0241972
+0.0253096
+0.0265522
+0.0322343
+0.0315073
+0.0309188
+0.0304767
+0.0301649
+0.030002
+0.0299986
+0.0301548
+0.030468
+0.0309193
+0.0315013
+0.0322221
+0.0330725
+0.0340429
+0.0351232
+0.0362354
+0.0368899
+0.0369593
+0.037158
+0.0374838
+0.0379336
+0.0384846
+0.0391449
+0.0399147
+0.039156
+0.0382005
+0.0373476
+0.036606
+0.0349607
+0.0329665
+0.0309987
+0.0290628
+0.0271657
+0.0253118
+0.0235115
+0.0217336
+0.0200112
+0.0183787
+0.0168688
+0.0155049
+0.0142697
+0.0131033
+0.0115312
+0.00950696
+0.00733784
+0.00518675
+0.00307672
+0.00102689
+-0.000817343
+-0.0025731
+-0.00302573
+-0.000901635
+0.000816863
+0.00269071
+0.00476483
+0.00690999
+0.00907693
+0.0112531
+0.0134339
+0.0147492
+0.0145641
+0.0147067
+0.0137543
+0.0119489
+0.0102566
+0.00876212
+0.00738931
+0.00630624
+0.00518099
+0.00442038
+0.00413553
+0.00438943
+0.00505049
+0.00611961
+0.00737912
+0.00876934
+0.0102479
+0.011777
+0.0134195
+0.0151915
+0.0170163
+0.0188948
+0.0208287
+0.0228091
+0.0248172
+0.026549
+0.0254603
+0.0245194
+0.023744
+0.0231505
+0.0227292
+0.0224973
+0.0224776
+0.0226706
+0.0230708
+0.0236642
+0.0244223
+0.0253475
+0.0264224
+0.0276192
+0.033788
+0.0330951
+0.0325354
+0.0321155
+0.0318136
+0.0316592
+0.031656
+0.031804
+0.0321012
+0.0325379
+0.0330915
+0.0337784
+0.0345905
+0.0355194
+0.0365562
+0.0376919
+0.0388562
+0.0390937
+0.0392816
+0.03959
+0.0400161
+0.0405487
+0.0411759
+0.0419084
+0.041038
+0.0401259
+0.0383302
+0.0362642
+0.0342057
+0.0321646
+0.0301446
+0.02815
+0.0261869
+0.0242627
+0.0223875
+0.0205667
+0.0188094
+0.017073
+0.015445
+0.0139617
+0.0126561
+0.0114284
+0.0102286
+0.00865827
+0.00663427
+0.00459801
+0.0024787
+0.000392902
+-0.00140136
+-0.00303784
+-0.00246454
+-0.000397076
+0.00165432
+0.00369911
+0.00556165
+0.00753132
+0.00956199
+0.0116479
+0.0137663
+0.0159044
+0.0156352
+0.0139988
+0.0124707
+0.0110223
+0.00974938
+0.00877115
+0.00823599
+0.00797137
+0.00698966
+0.00645663
+0.00625704
+0.00656274
+0.0070519
+0.00806963
+0.00912301
+0.0104306
+0.0118462
+0.013251
+0.0147675
+0.0163945
+0.018119
+0.0198225
+0.0215132
+0.023287
+0.0251084
+0.0269824
+0.0267708
+0.0258753
+0.0251322
+0.0245613
+0.0241496
+0.0239316
+0.023913
+0.0240945
+0.0244715
+0.0250317
+0.0257495
+0.0266287
+0.0276538
+0.0288093
+0.0354091
+0.0347486
+0.0342159
+0.0338126
+0.0335245
+0.0333779
+0.0333749
+0.0335153
+0.0337975
+0.0342178
+0.0347471
+0.0354018
+0.0361776
+0.0370667
+0.0380614
+0.0391534
+0.040335
+0.041234
+0.0414122
+0.0417048
+0.0421095
+0.0426226
+0.0432198
+0.0439102
+0.0418856
+0.0398208
+0.0377455
+0.0356502
+0.0335671
+0.031495
+0.0294291
+0.0273824
+0.0253599
+0.0233678
+0.0214144
+0.0195115
+0.0176745
+0.015915
+0.014202
+0.0125732
+0.0111384
+0.00991862
+0.00860209
+0.00740532
+0.00595718
+0.00382204
+0.00174574
+-0.00025521
+-0.00180967
+-0.0030085
+-0.00241993
+-0.000352225
+0.00182059
+0.00398929
+0.00616322
+0.00829873
+0.0104025
+0.0120237
+0.0135614
+0.0151927
+0.0145852
+0.0128193
+0.0111747
+0.00964257
+0.00827057
+0.0071427
+0.00647431
+0.00644912
+0.00699212
+0.00777712
+0.00748672
+0.00764595
+0.00826929
+0.00935317
+0.0107433
+0.0114025
+0.0119995
+0.0128921
+0.0140721
+0.0154703
+0.0170299
+0.0187165
+0.0204817
+0.0223055
+0.0241886
+0.0261197
+0.028089
+0.0273086
+0.0266048
+0.0260662
+0.0256787
+0.0254737
+0.0254563
+0.0256268
+0.0259816
+0.0265099
+0.0271887
+0.0280227
+0.0289986
+0.0301026
+0.0370888
+0.0364588
+0.0359514
+0.0355622
+0.0352884
+0.0351492
+0.0351463
+0.0352797
+0.0355479
+0.0359477
+0.0364592
+0.0370837
+0.037825
+0.0386763
+0.0396305
+0.0406805
+0.0418189
+0.0430388
+0.0435488
+0.0438271
+0.0442124
+0.0447019
+0.0452766
+0.0434877
+0.0413999
+0.0393234
+0.0372554
+0.0351575
+0.0330434
+0.0309399
+0.0288495
+0.0267726
+0.0247002
+0.02265
+0.0206288
+0.0186459
+0.016715
+0.0148563
+0.013095
+0.0114268
+0.00982878
+0.00846382
+0.00720292
+0.00583094
+0.00457205
+0.00308087
+0.00107558
+-0.000905473
+-0.00212727
+-0.00292758
+-0.00259254
+-0.000405706
+0.00174951
+0.00380615
+0.00595171
+0.00773922
+0.00926108
+0.0108709
+0.0124762
+0.014209
+0.0136827
+0.0118121
+0.0100561
+0.00844222
+0.00698091
+0.00577036
+0.00502092
+0.00501919
+0.00546427
+0.00619282
+0.00588644
+0.00607494
+0.00684725
+0.00794591
+0.00923622
+0.00990449
+0.0105338
+0.0115403
+0.0128451
+0.0143588
+0.0159896
+0.0177337
+0.0195664
+0.0214662
+0.0234169
+0.0254067
+0.0274272
+0.0288365
+0.028171
+0.0276629
+0.027298
+0.0271053
+0.0270889
+0.0272492
+0.0275831
+0.0280814
+0.028723
+0.0295137
+0.0304419
+0.0314953
+0.0388195
+0.038218
+0.0377343
+0.0373584
+0.0370979
+0.0369655
+0.0369627
+0.0370896
+0.0373447
+0.0377256
+0.0382202
+0.0388164
+0.0395252
+0.0403406
+0.0412564
+0.0422659
+0.0433628
+0.0445404
+0.0456905
+0.0459558
+0.0463234
+0.0467908
+0.0452454
+0.0431314
+0.0410256
+0.0389291
+0.0368411
+0.0347611
+0.0326585
+0.0305286
+0.0284078
+0.0262986
+0.0242038
+0.0221266
+0.0200529
+0.0180067
+0.0159988
+0.0140457
+0.0121737
+0.0104112
+0.00880717
+0.0073049
+0.00593779
+0.00461731
+0.00311074
+0.00177716
+0.000189909
+-0.00179522
+-0.00233306
+-0.00238762
+-0.00209142
+-0.000883589
+0.00108279
+0.00312145
+0.00503555
+0.00668958
+0.00829856
+0.00996019
+0.0116526
+0.013413
+0.0130849
+0.0111141
+0.00923646
+0.00752345
+0.00602742
+0.00458537
+0.00348175
+0.00321928
+0.00361449
+0.0045799
+0.00463116
+0.00474666
+0.0052434
+0.00634335
+0.00784606
+0.00855448
+0.00928815
+0.0104118
+0.0117957
+0.0133804
+0.0151171
+0.0169512
+0.0188601
+0.0208244
+0.02283
+0.0248669
+0.0269279
+0.0290027
+0.0298159
+0.0293363
+0.0289925
+0.0288111
+0.0287957
+0.0289466
+0.0292611
+0.0297313
+0.0303381
+0.0310877
+0.0319702
+0.0329748
+0.0405946
+0.0400198
+0.0395581
+0.0391948
+0.0389465
+0.0388204
+0.0388178
+0.0389386
+0.0391817
+0.0395449
+0.0400235
+0.0405933
+0.0412716
+0.0420532
+0.0429325
+0.0439035
+0.0449604
+0.0460972
+0.0473083
+0.0480901
+0.0484415
+0.0471413
+0.0450098
+0.0428843
+0.0407657
+0.0386551
+0.0365514
+0.0344539
+0.0323688
+0.0302705
+0.0281304
+0.0259986
+0.0238775
+0.0217692
+0.0196689
+0.0175891
+0.0155399
+0.013535
+0.0115917
+0.00972428
+0.00798344
+0.00639654
+0.00499063
+0.00357385
+0.00199985
+0.000522914
+-0.00103669
+-0.0021263
+-0.00215155
+-0.00201074
+-0.00158528
+-0.00066004
+0.000823201
+0.00250351
+0.00418023
+0.00583518
+0.00758678
+0.00933982
+0.0110076
+0.012749
+0.0127733
+0.0108165
+0.0088751
+0.00707931
+0.00528995
+0.00348115
+0.00204138
+0.00157915
+0.00196575
+0.00332697
+0.00342455
+0.00307088
+0.00363343
+0.00491522
+0.00664393
+0.00745904
+0.00828139
+0.00951449
+0.0110259
+0.0126938
+0.0145015
+0.0164028
+0.0183667
+0.0203737
+0.0224152
+0.0244825
+0.0265695
+0.0286663
+0.0307731
+0.0310716
+0.0307467
+0.0305757
+0.0305612
+0.0307034
+0.0310002
+0.0314471
+0.0320216
+0.0327327
+0.033572
+0.03453
+0.0424087
+0.0418588
+0.0414174
+0.0410659
+0.040829
+0.0407087
+0.0407062
+0.0408215
+0.0410534
+0.0414002
+0.0418588
+0.042409
+0.0430587
+0.0438084
+0.0446531
+0.0455875
+0.0466063
+0.0477039
+0.0488751
+0.0501148
+0.0491596
+0.0470175
+0.0448801
+0.0427482
+0.0406224
+0.038504
+0.0363916
+0.0342843
+0.0321882
+0.0301056
+0.0280219
+0.0258812
+0.0237496
+0.0216289
+0.0195135
+0.0174152
+0.0153427
+0.0133082
+0.011332
+0.0094509
+0.00769549
+0.00605701
+0.00459969
+0.00324924
+0.00168854
+0.000230066
+-0.00062142
+-0.000981603
+-0.000905462
+-0.000620954
+-0.000942418
+-0.000555152
+0.000379324
+0.00186319
+0.00353165
+0.00529995
+0.00716885
+0.0089677
+0.01064
+0.0124096
+0.0128082
+0.0108311
+0.00894137
+0.00709765
+0.00508876
+0.00315733
+0.00143716
+0.000425641
+0.00135109
+0.00292623
+0.00237679
+0.00162503
+0.00232053
+0.00395831
+0.0059167
+0.00679405
+0.00766681
+0.00898466
+0.0105771
+0.0123233
+0.0141712
+0.0161052
+0.0180979
+0.0201318
+0.0221955
+0.0242815
+0.0263844
+0.0284948
+0.0306135
+0.0327417
+0.032552
+0.0323905
+0.0323768
+0.0325111
+0.0327915
+0.0332143
+0.0337633
+0.0344385
+0.0352372
+0.0361511
+0.0442568
+0.0437302
+0.0433033
+0.0429672
+0.0427408
+0.042626
+0.0426236
+0.0427337
+0.0429553
+0.0432868
+0.0437257
+0.0442587
+0.0448816
+0.0456013
+0.0464134
+0.0473131
+0.0482954
+0.0493555
+0.0504885
+0.0512857
+0.0491386
+0.0469956
+0.0448572
+0.042724
+0.0405971
+0.0384772
+0.0363633
+0.0342543
+0.0321562
+0.0300713
+0.0280026
+0.0259489
+0.0238234
+0.0217098
+0.0196031
+0.0175156
+0.0154566
+0.0134393
+0.0114857
+0.00962196
+0.007916
+0.00637129
+0.00498483
+0.00380497
+0.00269253
+0.00180941
+0.00127126
+0.00105514
+0.00108162
+0.00139601
+0.000902274
+0.000734229
+0.00125674
+0.00252152
+0.00382329
+0.00546324
+0.00728424
+0.00901391
+0.0106338
+0.0124014
+0.0131581
+0.0112425
+0.00942582
+0.00752087
+0.00561223
+0.00382899
+0.00234614
+0.00143965
+0.00223739
+0.00373208
+0.00238824
+0.00118067
+0.00192919
+0.00373219
+0.00580469
+0.00677883
+0.00765332
+0.00897335
+0.0105675
+0.012315
+0.014164
+0.0160989
+0.0180923
+0.0201267
+0.0221909
+0.0242773
+0.0263806
+0.0284912
+0.0306102
+0.0327386
+0.034402
+0.0342493
+0.0342364
+0.0343634
+0.0346287
+0.0350294
+0.0355548
+0.0361966
+0.0369572
+0.0377673
+0.0461349
+0.0456299
+0.0452167
+0.0448949
+0.0446783
+0.0445685
+0.0445662
+0.0446714
+0.0448835
+0.0452009
+0.0456214
+0.0461382
+0.0467361
+0.0474277
+0.048209
+0.0490758
+0.0500235
+0.0510477
+0.0521439
+0.0513591
+0.0492153
+0.0470757
+0.0449411
+0.0428122
+0.0406898
+0.038575
+0.0364668
+0.0343641
+0.0322732
+0.0301964
+0.0281369
+0.0260987
+0.0240322
+0.0219331
+0.0198537
+0.0178011
+0.0157857
+0.0138237
+0.0119415
+0.0101783
+0.00856106
+0.00723752
+0.00596055
+0.00499045
+0.0043347
+0.0037531
+0.00331618
+0.00312427
+0.00318545
+0.0033755
+0.00296452
+0.00271095
+0.00303733
+0.00395724
+0.00491682
+0.00627557
+0.00790731
+0.00946886
+0.011009
+0.0127227
+0.0138167
+0.0119898
+0.0101047
+0.00827633
+0.00662717
+0.00511161
+0.00396353
+0.00337149
+0.00379888
+0.00483321
+0.00352028
+0.00260448
+0.00297645
+0.00442869
+0.00627243
+0.00732304
+0.00813928
+0.00939514
+0.0109432
+0.0126487
+0.014462
+0.0163679
+0.0183376
+0.0203524
+0.0224002
+0.02447
+0.026558
+0.0286556
+0.0307632
+0.0328817
+0.0350091
+0.0361453
+0.036133
+0.0362534
+0.036505
+0.0368853
+0.0371335
+0.0373919
+0.0377758
+0.0382813
+0.0480395
+0.0475548
+0.0471542
+0.0468457
+0.0466382
+0.046533
+0.0465308
+0.0466316
+0.0468348
+0.0471391
+0.0475424
+0.0480423
+0.0486185
+0.0492837
+0.0500361
+0.0508717
+0.0517866
+0.0527766
+0.0536659
+0.0515234
+0.049385
+0.0472514
+0.0451233
+0.0430014
+0.0408868
+0.0387806
+0.0366844
+0.0345998
+0.0325293
+0.0304752
+0.0284342
+0.0264132
+0.0244214
+0.0223619
+0.0203264
+0.0183269
+0.0163763
+0.0144944
+0.0127119
+0.0110722
+0.00960698
+0.00836456
+0.00735998
+0.0066016
+0.00619394
+0.00580749
+0.00541474
+0.00523541
+0.00531511
+0.00541946
+0.00511218
+0.00480177
+0.00507192
+0.00572692
+0.00649609
+0.00758186
+0.00899251
+0.0103342
+0.0117509
+0.0133698
+0.0147419
+0.0128788
+0.0110886
+0.00945198
+0.00804141
+0.00675378
+0.00588401
+0.00545134
+0.00573052
+0.00627663
+0.00517203
+0.00451622
+0.00474048
+0.00577313
+0.00731658
+0.00841205
+0.00913145
+0.0102667
+0.0116999
+0.0133186
+0.0150574
+0.0168962
+0.0188106
+0.0207797
+0.0227892
+0.0248294
+0.0268933
+0.0289758
+0.0310702
+0.0331693
+0.0352793
+0.0373986
+0.0379042
+0.0376878
+0.0375858
+0.0376113
+0.0377641
+0.0380269
+0.0384044
+0.0389018
+0.0499676
+0.0495017
+0.049113
+0.0488169
+0.0486178
+0.0485169
+0.0485148
+0.0486115
+0.0488064
+0.0490985
+0.0494858
+0.0499663
+0.0505258
+0.0511663
+0.0518913
+0.0526975
+0.0535813
+0.0545387
+0.0538973
+0.0517643
+0.0496363
+0.0475139
+0.0453981
+0.0432897
+0.0411899
+0.0391001
+0.037022
+0.0349575
+0.0329095
+0.030881
+0.0288684
+0.02688
+0.0249255
+0.0229923
+0.021018
+0.019091
+0.0172271
+0.0154492
+0.0137867
+0.0122545
+0.0109453
+0.0098069
+0.00895238
+0.00842669
+0.00812317
+0.00792993
+0.00756112
+0.00739298
+0.00747311
+0.00753648
+0.00728012
+0.00695197
+0.00717741
+0.00762882
+0.00829994
+0.00917706
+0.0103869
+0.0114883
+0.0127884
+0.0142912
+0.0157728
+0.0140112
+0.0123857
+0.0109274
+0.00965961
+0.00861424
+0.00790958
+0.00758218
+0.00779123
+0.0079974
+0.00705623
+0.00657969
+0.0067356
+0.00750679
+0.00874958
+0.00986255
+0.0104829
+0.0114939
+0.0127915
+0.014287
+0.0159204
+0.0176747
+0.0195175
+0.0214235
+0.0233778
+0.0253707
+0.0273938
+0.029441
+0.0315074
+0.0335896
+0.035682
+0.0377789
+0.0386389
+0.0384293
+0.0383292
+0.0383542
+0.0385041
+0.0387619
+0.0391323
+0.0396206
+0.0519165
+0.051467
+0.0510907
+0.0508061
+0.0506148
+0.0505179
+0.0505158
+0.0506087
+0.050796
+0.0510767
+0.0514491
+0.0519115
+0.0524553
+0.0530724
+0.0537718
+0.0545502
+0.0554044
+0.0563309
+0.0542163
+0.0520963
+0.0499824
+0.0478754
+0.0457763
+0.0436861
+0.0416064
+0.0395386
+0.0374847
+0.0354473
+0.0334292
+0.0314343
+0.0294595
+0.0275139
+0.0256078
+0.0237509
+0.0219077
+0.0200663
+0.018302
+0.0166238
+0.015062
+0.0136736
+0.0124755
+0.0114475
+0.0107056
+0.0103088
+0.0101312
+0.0100063
+0.00970627
+0.0095548
+0.00955318
+0.00960787
+0.00931592
+0.00908463
+0.00928739
+0.00961667
+0.0102205
+0.0109795
+0.0119562
+0.0128965
+0.0140721
+0.0154656
+0.0169961
+0.015374
+0.0138824
+0.012584
+0.0114672
+0.0106016
+0.00999659
+0.00973959
+0.00990785
+0.00982894
+0.00906719
+0.00869117
+0.00880979
+0.00943254
+0.0104487
+0.0115459
+0.0120801
+0.0129672
+0.0141405
+0.0155065
+0.0170232
+0.0186743
+0.0204271
+0.0222576
+0.0241453
+0.0260797
+0.0280517
+0.0300541
+0.032081
+0.0341283
+0.0361923
+0.0382704
+0.0394806
+0.0392791
+0.0391812
+0.0392057
+0.0393523
+0.0396046
+0.0399672
+0.0404454
+0.0538839
+0.0534474
+0.0530851
+0.0528112
+0.0526272
+0.052534
+0.052532
+0.0526214
+0.0528015
+0.0530716
+0.0534301
+0.0538755
+0.0544044
+0.0549998
+0.055675
+0.0564271
+0.0572533
+0.0567315
+0.0546212
+0.0525176
+0.0504214
+0.0483335
+0.0462552
+0.0441877
+0.0421327
+0.0400921
+0.0380681
+0.0360636
+0.0340821
+0.0321277
+0.0301984
+0.0283035
+0.0264495
+0.0246506
+0.02292
+0.0211696
+0.0194799
+0.0178993
+0.016459
+0.0151752
+0.0140756
+0.0132179
+0.0125805
+0.012232
+0.0122023
+0.0120881
+0.0118305
+0.0116086
+0.0116072
+0.0117204
+0.0113957
+0.0112165
+0.0113952
+0.0116773
+0.0122199
+0.0128718
+0.0136092
+0.0144637
+0.0155526
+0.0168176
+0.018251
+0.0168887
+0.0155387
+0.0143679
+0.0133875
+0.0126563
+0.0121203
+0.0119092
+0.012051
+0.0117821
+0.0111329
+0.0108342
+0.0109295
+0.0114512
+0.0123043
+0.0133497
+0.0138144
+0.0145964
+0.0156484
+0.0169192
+0.0183227
+0.019866
+0.021522
+0.0232665
+0.0250784
+0.0269459
+0.0288588
+0.0308087
+0.0327891
+0.0347947
+0.0368213
+0.0388658
+0.0404185
+0.0402272
+0.0401348
+0.0401587
+0.0403018
+0.0405482
+0.0409025
+0.0413699
+0.055868
+0.0554435
+0.0550943
+0.0548305
+0.0546533
+0.0545636
+0.0545617
+0.0546477
+0.0548212
+0.0550813
+0.0554269
+0.0558563
+0.0563677
+0.0569462
+0.0575986
+0.0583259
+0.0591256
+0.0572026
+0.0551104
+0.0530262
+0.0509509
+0.0488856
+0.0468318
+0.044791
+0.042765
+0.040756
+0.0387667
+0.0368003
+0.0348606
+0.0329524
+0.0310694
+0.0292265
+0.0274347
+0.0257048
+0.0240501
+0.0223921
+0.0208016
+0.0193289
+0.0180014
+0.0168015
+0.0158153
+0.0150526
+0.0145157
+0.0142327
+0.0142168
+0.0142027
+0.0139673
+0.013703
+0.0137036
+0.0138431
+0.0135105
+0.0133674
+0.0135294
+0.0137782
+0.0142755
+0.0147938
+0.0153721
+0.016156
+0.0171372
+0.0183203
+0.0196456
+0.0185353
+0.0173141
+0.0162504
+0.0153749
+0.0147341
+0.0142642
+0.0140853
+0.0142086
+0.0138033
+0.0132389
+0.0129815
+0.0130612
+0.0135008
+0.0142553
+0.0152383
+0.0156469
+0.0163415
+0.0172877
+0.0184467
+0.0197788
+0.0212176
+0.0227755
+0.0244307
+0.0261621
+0.0279572
+0.0298053
+0.0316971
+0.0336252
+0.0355837
+0.0375678
+0.0395737
+0.0414508
+0.0412643
+0.041183
+0.0412063
+0.0413457
+0.041586
+0.0419315
+0.0423875
+0.057867
+0.0574538
+0.057117
+0.0568625
+0.0566917
+0.0566052
+0.0566034
+0.0566863
+0.0568536
+0.0571044
+0.0574378
+0.0578523
+0.0583462
+0.0589098
+0.0595406
+0.0602446
+0.059833
+0.057753
+0.0556815
+0.0536195
+0.051568
+0.0495286
+0.0475026
+0.0454918
+0.0434984
+0.041525
+0.0395744
+0.0376502
+0.0357566
+0.0338926
+0.0320623
+0.0302798
+0.0285542
+0.0268964
+0.0253198
+0.0237389
+0.0222449
+0.0208743
+0.0196379
+0.0185441
+0.0176507
+0.0169705
+0.0165006
+0.0162682
+0.0162466
+0.0163374
+0.0160567
+0.0158152
+0.0158244
+0.0159829
+0.0156462
+0.0155295
+0.0156791
+0.0159028
+0.0163662
+0.0167146
+0.0172286
+0.0179564
+0.0188436
+0.0199264
+0.0211754
+0.0202851
+0.0191664
+0.0182021
+0.0174112
+0.016832
+0.0164171
+0.0162619
+0.0162945
+0.015849
+0.0153599
+0.0151394
+0.0152078
+0.0155869
+0.0162549
+0.017159
+0.0175618
+0.0181834
+0.0190382
+0.0200965
+0.021328
+0.0227004
+0.024163
+0.0257291
+0.0273785
+0.0290987
+0.0308785
+0.0327083
+0.03458
+0.0364873
+0.0384248
+0.0403882
+0.0423739
+0.0423893
+0.0423169
+0.0423396
+0.0424754
+0.0427109
+0.0430474
+0.0434917
+0.0598794
+0.0594769
+0.0591516
+0.0589059
+0.058741
+0.0586575
+0.0586558
+0.0587358
+0.0588973
+0.0591395
+0.0594615
+0.0598619
+0.0603394
+0.0608889
+0.0614994
+0.0621812
+0.0604389
+0.0583805
+0.0563321
+0.0542947
+0.0522698
+0.0502588
+0.0482635
+0.0462858
+0.0443282
+0.0423933
+0.0404846
+0.0386058
+0.0367599
+0.0349427
+0.0331703
+0.0314507
+0.029793
+0.0282081
+0.0266985
+0.0252045
+0.0238026
+0.0225269
+0.0213697
+0.0203691
+0.0195592
+0.0189476
+0.0185279
+0.018332
+0.0183109
+0.0184851
+0.0181542
+0.0179415
+0.0179474
+0.0181348
+0.0177953
+0.0176985
+0.0178389
+0.0180359
+0.0184057
+0.0186949
+0.0191558
+0.0198355
+0.0206417
+0.0216346
+0.0227951
+0.0221135
+0.0210724
+0.0201942
+0.019481
+0.0189509
+0.0185696
+0.0184325
+0.0183556
+0.0179265
+0.0174956
+0.0173054
+0.0173653
+0.0176983
+0.0182894
+0.0191147
+0.0195347
+0.0200953
+0.020872
+0.0218416
+0.0229798
+0.0242628
+0.0256627
+0.0271424
+0.0287108
+0.0303556
+0.0320657
+0.0338313
+0.0356441
+0.0374973
+0.0393852
+0.0413029
+0.0432466
+0.0435954
+0.0435243
+0.0435463
+0.0436783
+0.0439165
+0.0442438
+0.0446762
+0.061902
+0.0615115
+0.0611969
+0.0609595
+0.0608002
+0.0607195
+0.0607179
+0.0607952
+0.0609512
+0.0611852
+0.0614965
+0.0618838
+0.0623458
+0.0628807
+0.0634733
+0.0631625
+0.0611173
+0.0590826
+0.0570594
+0.055049
+0.0530529
+0.0510727
+0.0491104
+0.0471683
+0.0452488
+0.0433551
+0.0414906
+0.0396595
+0.0378575
+0.0360953
+0.0343824
+0.0327265
+0.0311368
+0.0296182
+0.0281677
+0.0267692
+0.0254537
+0.0242568
+0.023174
+0.0222547
+0.0215199
+0.0209672
+0.0205887
+0.0204223
+0.0204016
+0.0205916
+0.0202715
+0.0200812
+0.0200758
+0.0202593
+0.0199534
+0.0198724
+0.0199988
+0.0201802
+0.0204664
+0.0207069
+0.0211239
+0.0217546
+0.0225094
+0.0234233
+0.0244993
+0.0239943
+0.0230261
+0.0222208
+0.0215665
+0.0210809
+0.02073
+0.0206073
+0.0204436
+0.0200281
+0.0196434
+0.019477
+0.0195302
+0.0198269
+0.0203562
+0.0211009
+0.0215497
+0.0220592
+0.0227689
+0.0236609
+0.0247155
+0.0259127
+0.0272337
+0.0286537
+0.0301435
+0.0317141
+0.0333546
+0.0350554
+0.036808
+0.0386053
+0.0404415
+0.0423114
+0.0442108
+0.0448761
+0.0448063
+0.0448277
+0.044956
+0.0451902
+0.0455142
+0.0459346
+0.0639345
+0.0635564
+0.0632521
+0.0630224
+0.0628683
+0.0627903
+0.0627887
+0.0628634
+0.0630143
+0.0632407
+0.063542
+0.0639169
+0.0643642
+0.0648825
+0.0654611
+0.0638872
+0.0618659
+0.0598566
+0.0578605
+0.0558789
+0.0539136
+0.0519662
+0.050039
+0.0481343
+0.046255
+0.0444042
+0.0425849
+0.040792
+0.0390393
+0.0373329
+0.0356795
+0.0340867
+0.0325634
+0.0311038
+0.0297258
+0.0284168
+0.0271812
+0.0260399
+0.0250343
+0.0241858
+0.0235114
+0.0230181
+0.0226739
+0.0225316
+0.0225113
+0.022688
+0.0224029
+0.0222308
+0.0222163
+0.0223913
+0.022118
+0.0220495
+0.0221636
+0.0223335
+0.0225516
+0.0227453
+0.0231256
+0.0237031
+0.0244123
+0.0252683
+0.0262757
+0.0259129
+0.025019
+0.0242759
+0.0236671
+0.0232144
+0.0228963
+0.0227852
+0.0225512
+0.022147
+0.0217997
+0.0216525
+0.0217003
+0.0219677
+0.0224466
+0.0231241
+0.023596
+0.0240622
+0.0247145
+0.0255387
+0.0265186
+0.0276378
+0.0288801
+0.0302303
+0.0316631
+0.0331618
+0.0347341
+0.0363704
+0.0380624
+0.0398032
+0.0415865
+0.0434071
+0.0452605
+0.0462252
+0.0461567
+0.0461775
+0.046302
+0.0465295
+0.0468526
+0.0472612
+0.065977
+0.0656108
+0.065316
+0.0650936
+0.0649444
+0.0648689
+0.0648673
+0.0649397
+0.0650858
+0.065305
+0.0655968
+0.06596
+0.0663936
+0.0668961
+0.0666859
+0.064678
+0.0626822
+0.0607
+0.0587325
+0.0567814
+0.0548483
+0.0529354
+0.0510448
+0.0491791
+0.0473412
+0.0455281
+0.0437457
+0.0420021
+0.0403021
+0.0386515
+0.037057
+0.035526
+0.0340644
+0.0326689
+0.0313596
+0.0301337
+0.0289536
+0.0278811
+0.0269442
+0.0261578
+0.0255356
+0.025075
+0.0247773
+0.0246533
+0.0246352
+0.0247456
+0.0244989
+0.0243878
+0.0243657
+0.0245254
+0.0242872
+0.0242283
+0.024333
+0.0244933
+0.0246509
+0.0248096
+0.0251587
+0.0256906
+0.0263587
+0.0271534
+0.0280968
+0.0278717
+0.0270426
+0.0263529
+0.0257827
+0.0253577
+0.0250667
+0.0249654
+0.0246732
+0.0242787
+0.0239623
+0.0238307
+0.0238742
+0.0241175
+0.0245545
+0.0251753
+0.0256662
+0.0260955
+0.0266981
+0.0274628
+0.0283764
+0.029425
+0.0305948
+0.0318724
+0.0332454
+0.0346875
+0.0361936
+0.0377667
+0.0393988
+0.041083
+0.042813
+0.0445836
+0.04639
+0.0476369
+0.0475697
+0.0475899
+0.0477107
+0.0479315
+0.0482504
+0.0486479
+0.0680288
+0.0676737
+0.0673879
+0.0671724
+0.0670278
+0.0669547
+0.0669531
+0.0670232
+0.0671648
+0.0673773
+0.0676601
+0.0680123
+0.0684329
+0.0689206
+0.067515
+0.0655324
+0.0635636
+0.0616096
+0.0596722
+0.0577528
+0.0558534
+0.0539761
+0.0521233
+0.0502953
+0.0484902
+0.0467182
+0.0449831
+0.0432893
+0.0416419
+0.0400466
+0.0385098
+0.0370389
+0.0356342
+0.0343025
+0.033058
+0.0319021
+0.0307764
+0.0297696
+0.0288941
+0.0281621
+0.0275852
+0.0271519
+0.0268775
+0.0267801
+0.0267698
+0.0268191
+0.0265882
+0.0265136
+0.0265219
+0.0266686
+0.02646
+0.0264079
+0.0265059
+0.0266458
+0.0267476
+0.026894
+0.0272164
+0.0277087
+0.0283406
+0.0290813
+0.0299641
+0.0298627
+0.0290904
+0.0284447
+0.0279098
+0.0275084
+0.0272404
+0.0271472
+0.0267954
+0.02642
+0.0261295
+0.026011
+0.0260509
+0.026274
+0.0266757
+0.0272482
+0.0277549
+0.0281523
+0.0287118
+0.0294242
+0.0302787
+0.0312636
+0.032367
+0.0335772
+0.0348832
+0.0362745
+0.0377239
+0.0392357
+0.0408091
+0.0424374
+0.0441143
+0.0458346
+0.0475936
+0.0491057
+0.0490399
+0.0490595
+0.0491767
+0.0493909
+0.0497009
+0.0500911
+0.070089
+0.0697444
+0.0694671
+0.0692581
+0.0691179
+0.0690469
+0.0690455
+0.0691134
+0.0692507
+0.0694568
+0.0697312
+0.070073
+0.0704813
+0.0703741
+0.0684042
+0.0664482
+0.0645073
+0.0625828
+0.0606765
+0.0587899
+0.0569251
+0.0550843
+0.0532626
+0.0514684
+0.049706
+0.0479789
+0.0462911
+0.0446469
+0.0430515
+0.0415104
+0.0400299
+0.038617
+0.0372666
+0.0359954
+0.0348114
+0.0337079
+0.0326445
+0.0316971
+0.0308763
+0.0301924
+0.029655
+0.0292455
+0.0289909
+0.0289006
+0.0289129
+0.02891
+0.0286927
+0.0286235
+0.028681
+0.0288168
+0.0286354
+0.0285882
+0.0286813
+0.0287815
+0.0288582
+0.028994
+0.0292933
+0.0297513
+0.030343
+0.0310441
+0.0318726
+0.0318799
+0.0311577
+0.0305438
+0.0300461
+0.029665
+0.0294167
+0.0293119
+0.0289209
+0.0285688
+0.0283004
+0.0281929
+0.0282297
+0.0284357
+0.0288074
+0.0293383
+0.0298582
+0.030228
+0.0307498
+0.031416
+0.0322177
+0.033145
+0.0341877
+0.0353357
+0.0365789
+0.0379081
+0.0393144
+0.0407696
+0.042286
+0.0438594
+0.045484
+0.0471543
+0.0488658
+0.0506143
+0.0505623
+0.0505813
+0.050695
+0.0509028
+0.0512036
+0.051587
+0.0721569
+0.0718222
+0.071553
+0.0713501
+0.071214
+0.0711451
+0.0711437
+0.0712097
+0.0713429
+0.071543
+0.0718094
+0.0721414
+0.072538
+0.071295
+0.0693513
+0.0674227
+0.0655107
+0.0636166
+0.0617422
+0.0598892
+0.058056
+0.0562441
+0.05446
+0.0527066
+0.050987
+0.0493048
+0.0476639
+0.0460688
+0.0445243
+0.043036
+0.0416098
+0.0402504
+0.0389539
+0.0377395
+0.0366119
+0.0355569
+0.0345505
+0.0336568
+0.0328849
+0.0322437
+0.0317393
+0.0313524
+0.031115
+0.0310309
+0.0310626
+0.0310146
+0.0308092
+0.0307448
+0.0308363
+0.0309679
+0.0308131
+0.0307692
+0.030858
+0.0309249
+0.0309797
+0.0311065
+0.0313857
+0.0318136
+0.032368
+0.0330356
+0.0338153
+0.0339186
+0.0332407
+0.0326548
+0.0321898
+0.0318262
+0.0315949
+0.0314362
+0.0310554
+0.0307235
+0.0304741
+0.0303761
+0.0304103
+0.0306016
+0.0309472
+0.031442
+0.0319733
+0.0323189
+0.0328074
+0.0334326
+0.0341871
+0.0350623
+0.0360497
+0.0371401
+0.0383248
+0.0395954
+0.0409439
+0.0423612
+0.0438226
+0.0453427
+0.0469159
+0.0485371
+0.0502014
+0.0519049
+0.0521323
+0.0521507
+0.052261
+0.0524626
+0.0527545
+0.0531312
+0.0742319
+0.0739065
+0.0736449
+0.0734478
+0.0733156
+0.0732487
+0.0732473
+0.0733114
+0.0734408
+0.0736352
+0.0738941
+0.0742167
+0.0742024
+0.0722705
+0.0703538
+0.0684535
+0.0665711
+0.064708
+0.0628655
+0.0610392
+0.0592375
+0.0574629
+0.0557178
+0.0540052
+0.0523284
+0.0506907
+0.0490961
+0.0475491
+0.0460543
+0.044617
+0.0432429
+0.041932
+0.0406891
+0.0395282
+0.0384529
+0.0374428
+0.0364885
+0.0356434
+0.0349154
+0.0343122
+0.0338329
+0.03347
+0.0332477
+0.033169
+0.0332094
+0.0331267
+0.0329354
+0.0328751
+0.0329607
+0.0331242
+0.0329925
+0.0329515
+0.0330354
+0.0330668
+0.0331102
+0.0332292
+0.0334907
+0.033892
+0.0344132
+0.0350506
+0.0357867
+0.0359752
+0.0353343
+0.0347756
+0.0343393
+0.0339912
+0.0337747
+0.0335691
+0.0331973
+0.0328829
+0.03265
+0.03256
+0.0325922
+0.0327708
+0.0330938
+0.0335569
+0.0340979
+0.0344221
+0.0348812
+0.0354699
+0.0361819
+0.03701
+0.0379467
+0.0389841
+0.0401144
+0.04133
+0.0426236
+0.0439884
+0.0454129
+0.0468815
+0.0484047
+0.0499776
+0.0515955
+0.0532544
+0.0537458
+0.0537636
+0.0538706
+0.0540662
+0.0543495
+0.0547188
+0.0763133
+0.0759969
+0.0757425
+0.0755508
+0.0754223
+0.0753573
+0.0753559
+0.0754182
+0.075544
+0.075733
+0.0759847
+0.0762985
+0.0752041
+0.0732986
+0.0714095
+0.0695381
+0.0676858
+0.0658496
+0.0640334
+0.0622412
+0.0604753
+0.0587381
+0.0570321
+0.0553602
+0.0537256
+0.0521318
+0.0505827
+0.0490826
+0.0476359
+0.0462478
+0.0449193
+0.0436588
+0.0424665
+0.0413555
+0.0403289
+0.0393597
+0.0384529
+0.0376519
+0.0369636
+0.0363943
+0.0359376
+0.0355962
+0.0353873
+0.0353134
+0.0353534
+0.0352453
+0.0350695
+0.035013
+0.0350933
+0.0352848
+0.0351732
+0.0351348
+0.0352142
+0.0352111
+0.0352479
+0.0353602
+0.035606
+0.0359837
+0.0364754
+0.0370788
+0.0377822
+0.0380468
+0.037436
+0.0369046
+0.036491
+0.0361593
+0.0359559
+0.0356995
+0.0353451
+0.0350463
+0.0348279
+0.0347445
+0.0347752
+0.0349426
+0.0352457
+0.035681
+0.0362303
+0.0365357
+0.0369685
+0.0375245
+0.0381982
+0.0389835
+0.0398739
+0.0408624
+0.0419421
+0.0431062
+0.044348
+0.0456613
+0.0470399
+0.0484699
+0.0499447
+0.0514706
+0.053043
+0.054658
+0.0553989
+0.0554162
+0.05552
+0.0557098
+0.0559848
+0.0563437
+0.0784006
+0.0780927
+0.0778452
+0.0776587
+0.0775337
+0.0774704
+0.0774691
+0.0775297
+0.0776521
+0.077836
+0.0780809
+0.0781504
+0.0762556
+0.074377
+0.072516
+0.0706721
+0.0688437
+0.0670369
+0.0652537
+0.0634961
+0.0617661
+0.0600662
+0.0583989
+0.0567673
+0.0551744
+0.0536237
+0.052119
+0.0506644
+0.0492642
+0.0479201
+0.0466385
+0.0454257
+0.044281
+0.0432166
+0.0422353
+0.0413002
+0.040437
+0.0396761
+0.0390234
+0.0384846
+0.0380485
+0.0377261
+0.0375291
+0.0374594
+0.0375029
+0.0373723
+0.0372102
+0.0371569
+0.0372327
+0.0374367
+0.0373552
+0.037319
+0.0373944
+0.0373608
+0.0373916
+0.037498
+0.0377299
+0.0380866
+0.0385517
+0.0391231
+0.0397983
+0.0401311
+0.0395457
+0.0390404
+0.0386445
+0.03833
+0.0381382
+0.0378321
+0.0374979
+0.0372128
+0.0370072
+0.0369296
+0.0369591
+0.0371167
+0.0374022
+0.0378126
+0.038344
+0.0386578
+0.0390672
+0.0395937
+0.0402328
+0.0409791
+0.041827
+0.0427704
+0.0438031
+0.044919
+0.046112
+0.0473764
+0.0487065
+0.0500971
+0.0515298
+0.05301
+0.054538
+0.05611
+0.0570882
+0.057105
+0.0572058
+0.05739
+0.057657
+0.0580055
+0.0804935
+0.0801936
+0.0799525
+0.079771
+0.0796493
+0.0795877
+0.0795865
+0.0796454
+0.0797646
+0.0799436
+0.0801821
+0.0792233
+0.0773548
+0.0755036
+0.0736656
+0.0718465
+0.0700487
+0.0682739
+0.0665239
+0.0648007
+0.0631065
+0.0614436
+0.0598148
+0.0582229
+0.0566709
+0.0551623
+0.0537007
+0.0522901
+0.0509325
+0.0496319
+0.0483957
+0.047228
+0.0461281
+0.0451073
+0.044168
+0.0432641
+0.0424409
+0.0417165
+0.0410963
+0.040585
+0.0401667
+0.0398615
+0.0396751
+0.0396092
+0.0396568
+0.0395062
+0.0393558
+0.039306
+0.0393777
+0.0395706
+0.0395381
+0.0395039
+0.0395646
+0.0395149
+0.0395404
+0.0396416
+0.039861
+0.0401988
+0.04064
+0.0411825
+0.041822
+0.0422261
+0.0416619
+0.041182
+0.0408012
+0.0405028
+0.0403213
+0.039971
+0.0396548
+0.039382
+0.0391878
+0.039115
+0.0391438
+0.0392926
+0.0395624
+0.0399506
+0.040454
+0.0407872
+0.0411754
+0.0416753
+0.0422829
+0.0429937
+0.0438026
+0.0447043
+0.0456933
+0.0467641
+0.0479113
+0.0491293
+0.0504132
+0.051758
+0.0531577
+0.0545938
+0.0560787
+0.0576087
+0.0588106
+0.0588269
+0.0589247
+0.0591036
+0.0593629
+0.0597014
+0.0825914
+0.0822991
+0.0820643
+0.0818874
+0.0817689
+0.0817089
+0.0817077
+0.0817651
+0.0818812
+0.0820556
+0.0822007
+0.0803417
+0.078497
+0.0766674
+0.0748571
+0.0730678
+0.0713008
+0.0695579
+0.067841
+0.0661521
+0.0644934
+0.0628673
+0.0612763
+0.0597234
+0.0582114
+0.0567438
+0.055324
+0.0539546
+0.0526376
+0.0513802
+0.050187
+0.049062
+0.0480041
+0.0470241
+0.0461237
+0.0452489
+0.0444624
+0.0437716
+0.0431809
+0.0426927
+0.0422924
+0.0420027
+0.0418258
+0.0417633
+0.0418146
+0.041646
+0.0415049
+0.0414595
+0.0415274
+0.0417104
+0.0417218
+0.0416894
+0.04172
+0.0416729
+0.0416935
+0.0417901
+0.0419983
+0.0423191
+0.0427386
+0.0432547
+0.0438617
+0.0443303
+0.0437848
+0.0433285
+0.0429609
+0.0426775
+0.0425053
+0.0421153
+0.0418153
+0.0415535
+0.0413695
+0.0413008
+0.0413291
+0.0414701
+0.0417258
+0.0420941
+0.0425721
+0.0429228
+0.0432918
+0.0437675
+0.0443465
+0.0450247
+0.0457978
+0.0466609
+0.0476093
+0.048638
+0.0497419
+0.0509162
+0.0521561
+0.0534571
+0.0548147
+0.0562184
+0.0576615
+0.0591505
+0.0605633
+0.0605791
+0.0606741
+0.0608478
+0.0610997
+0.0614287
+0.084694
+0.084409
+0.0841801
+0.0840077
+0.0838921
+0.0838337
+0.0838325
+0.0838885
+0.0840016
+0.0841716
+0.0833362
+0.0814975
+0.0796765
+0.0778746
+0.0760931
+0.0743335
+0.0725974
+0.0708864
+0.0692024
+0.0675476
+0.065924
+0.064334
+0.0627803
+0.0612654
+0.0597925
+0.0583646
+0.0569849
+0.0556533
+0.0543774
+0.0531612
+0.0520089
+0.0509242
+0.0499058
+0.0489638
+0.0480926
+0.0472519
+0.0464993
+0.0458391
+0.0452754
+0.0448057
+0.0444244
+0.0441486
+0.0439804
+0.0439209
+0.0439706
+0.0437866
+0.0436569
+0.0436167
+0.0436812
+0.0438553
+0.0439062
+0.0438754
+0.0438789
+0.0438341
+0.0438465
+0.0439428
+0.0441408
+0.0444461
+0.0448441
+0.0453363
+0.0459153
+0.0464408
+0.0459142
+0.0454792
+0.0451234
+0.0448537
+0.0446552
+0.044264
+0.0439787
+0.0437269
+0.043552
+0.0434869
+0.043515
+0.0436489
+0.0438919
+0.0442422
+0.0446972
+0.0450636
+0.0454153
+0.045869
+0.0464217
+0.04707
+0.04781
+0.0486375
+0.0495481
+0.0505373
+0.0516006
+0.0527335
+0.0539316
+0.0551908
+0.0565068
+0.0578758
+0.059283
+0.0607323
+0.0622249
+0.062359
+0.0624513
+0.0626201
+0.0628649
+0.0631847
+0.091456
+0.0895682
+0.0876946
+0.0858359
+0.0839932
+0.0821677
+0.0803604
+0.0785726
+0.0768056
+0.075061
+0.0733404
+0.0716454
+0.069978
+0.0683401
+0.0667339
+0.0651615
+0.0636131
+0.0621033
+0.060635
+0.0592115
+0.0578359
+0.0565117
+0.0552427
+0.0540328
+0.0528859
+0.0518064
+0.0507984
+0.0498664
+0.0490146
+0.0482473
+0.0475687
+0.0469824
+0.0464921
+0.0460918
+0.0457817
+0.0455749
+0.0454728
+0.0454762
+0.0455253
+0.0455559
+0.0456917
+0.0459248
+0.0462591
+0.0466937
+0.047195
+0.0477916
+0.048479
+0.0492364
+0.0500782
+0.0510003
+0.051987
+0.052794
+0.0536783
+0.0546355
+0.0556465
+0.0567241
+0.0578646
+0.0590404
+0.0602656
+0.0615444
+0.0628161
+0.0640779
+0.0653887
+0.0667458
+0.0668921
+0.0662637
+0.0657024
+0.0652098
+0.0647877
+0.0644372
+0.0641598
+0.0639561
+0.0638271
+0.0637731
+0.0637944
+0.0638771
+0.0640338
+0.0642648
+0.0645592
+0.0649078
+0.0653281
+0.0658186
+0.0663492
+0.0669341
+0.067585
+0.0682444
+0.0689009
+0.0696202
+0.0704004
+0.0712392
+0.0721227
+0.0730593
+0.074049
+0.0750895
+0.076172
+0.0772974
+0.0784679
+0.0796814
+0.0809359
+0.0822256
+0.0904827
+0.0885743
+0.0866791
+0.0847982
+0.0829325
+0.081083
+0.079251
+0.0774376
+0.0756441
+0.0738721
+0.0721231
+0.0703988
+0.0687011
+0.067032
+0.0653937
+0.0637886
+0.0622192
+0.0606762
+0.0591726
+0.0577129
+0.0563007
+0.0549396
+0.0536334
+0.0523863
+0.0512026
+0.0500868
+0.0490435
+0.0480775
+0.0471934
+0.046396
+0.0456898
+0.0450792
+0.0445679
+0.0441501
+0.0438263
+0.0436103
+0.0434905
+0.0434513
+0.0435224
+0.0435911
+0.043733
+0.0439758
+0.0443248
+0.0447574
+0.0452802
+0.0459017
+0.0466031
+0.0473905
+0.0482645
+0.0492206
+0.0500117
+0.05085
+0.0517675
+0.0527503
+0.0537967
+0.0549106
+0.0560739
+0.0572787
+0.0585408
+0.0598116
+0.0610569
+0.0623543
+0.0637007
+0.0650929
+0.0654978
+0.0648559
+0.0642823
+0.0637788
+0.0633471
+0.0629886
+0.0627047
+0.0624964
+0.0623643
+0.0623091
+0.0623287
+0.0624125
+0.0625721
+0.0627938
+0.0630847
+0.0634414
+0.0638713
+0.0643729
+0.0649062
+0.065504
+0.0661004
+0.0667061
+0.0673777
+0.068113
+0.0689062
+0.0697485
+0.0706487
+0.0716046
+0.0726141
+0.0736666
+0.0747656
+0.0759118
+0.0771033
+0.078338
+0.0796133
+0.0808968
+0.0895525
+0.0876238
+0.0857076
+0.0838049
+0.0819166
+0.0800437
+0.0781873
+0.0763486
+0.0745289
+0.0727298
+0.0709526
+0.0691992
+0.0674713
+0.065771
+0.0641005
+0.0624621
+0.0608585
+0.0592925
+0.0577562
+0.0562598
+0.0548101
+0.053411
+0.0520665
+0.050781
+0.0495589
+0.0484053
+0.0473249
+0.046323
+0.0454048
+0.0445755
+0.04384
+0.0432031
+0.0426694
+0.0422329
+0.0418704
+0.0415996
+0.041443
+0.0414018
+0.0414765
+0.0416488
+0.0417972
+0.0420506
+0.0424062
+0.0428457
+0.0433916
+0.0440304
+0.0447559
+0.0455752
+0.0464834
+0.0472687
+0.048055
+0.0489269
+0.0498784
+0.0508895
+0.0519734
+0.0531224
+0.0543043
+0.0555476
+0.0568172
+0.0580441
+0.0593265
+0.0606609
+0.062044
+0.0634706
+0.064148
+0.0634925
+0.0629064
+0.0623918
+0.0619504
+0.0615839
+0.0612935
+0.0610803
+0.0609452
+0.0608873
+0.0608943
+0.0609792
+0.0611282
+0.0613551
+0.0616528
+0.0620178
+0.0624574
+0.0629566
+0.063506
+0.0640346
+0.0645854
+0.0652052
+0.065892
+0.0666336
+0.0674331
+0.0682935
+0.0692127
+0.0701881
+0.0712079
+0.0722778
+0.0733976
+0.0745649
+0.0757775
+0.0770334
+0.0783168
+0.0795482
+0.0886667
+0.0867182
+0.0847816
+0.0828576
+0.0809472
+0.0790513
+0.0771711
+0.0753076
+0.0734622
+0.0716362
+0.0698312
+0.0680489
+0.066291
+0.0645597
+0.062857
+0.0611853
+0.0595473
+0.0579459
+0.0563841
+0.0548557
+0.0533679
+0.05193
+0.0505461
+0.0492208
+0.047959
+0.0467659
+0.0456468
+0.0446072
+0.0436529
+0.0427896
+0.0420229
+0.0413375
+0.0407338
+0.0402405
+0.0398601
+0.0395755
+0.0394109
+0.0393676
+0.0394461
+0.0396457
+0.0398874
+0.0401526
+0.040502
+0.040962
+0.0415295
+0.0421843
+0.0429409
+0.0437942
+0.0445723
+0.0452995
+0.0461194
+0.0470271
+0.0480063
+0.0490561
+0.0501795
+0.0513446
+0.0525665
+0.0538346
+0.0550407
+0.0563063
+0.0576274
+0.0590002
+0.0604193
+0.0618705
+0.0628433
+0.0621763
+0.0615777
+0.0610519
+0.0606008
+0.060226
+0.0599291
+0.059711
+0.0595722
+0.0594988
+0.0595051
+0.0595773
+0.0597298
+0.059962
+0.0602665
+0.0606398
+0.0610845
+0.0615786
+0.062054
+0.0625463
+0.0631101
+0.0637432
+0.0644298
+0.0651827
+0.0659998
+0.0668787
+0.0678167
+0.0688009
+0.069839
+0.0709295
+0.0720702
+0.0732587
+0.0744845
+0.0757373
+0.0769767
+0.0782292
+0.0878266
+0.0858591
+0.0839026
+0.081958
+0.0800261
+0.0781079
+0.0762043
+0.0743166
+0.072446
+0.0705937
+0.0687614
+0.0669506
+0.0651631
+0.0634009
+0.0616662
+0.0599614
+0.058289
+0.056652
+0.0550535
+0.053497
+0.051978
+0.0505005
+0.0490763
+0.0477102
+0.0464074
+0.0451733
+0.0440137
+0.0429346
+0.0419423
+0.0410079
+0.040161
+0.0394178
+0.0387843
+0.0382659
+0.0378673
+0.0375702
+0.0373966
+0.037351
+0.0374338
+0.037644
+0.0379797
+0.0382657
+0.0386282
+0.0391102
+0.0396879
+0.0403726
+0.0411625
+0.0419314
+0.0425911
+0.0433515
+0.0442076
+0.0451515
+0.0461622
+0.047253
+0.0484021
+0.0495998
+0.0508629
+0.0520485
+0.0532951
+0.0546011
+0.0559625
+0.057373
+0.0588178
+0.0603075
+0.0615643
+0.0608958
+0.0602845
+0.0597473
+0.0592862
+0.0589031
+0.0585994
+0.0583764
+0.0582348
+0.0581588
+0.0581501
+0.058224
+0.05838
+0.0586176
+0.0589252
+0.0593069
+0.059673
+0.0600553
+0.0605144
+0.0610488
+0.0616366
+0.0622857
+0.0630042
+0.0637741
+0.064609
+0.0655055
+0.0664511
+0.0674542
+0.0685127
+0.0696114
+0.0707471
+0.0719315
+0.0731624
+0.0744374
+0.0756738
+0.0769475
+0.0870335
+0.0850476
+0.0830721
+0.0811076
+0.0791549
+0.077215
+0.0752889
+0.0733777
+0.0714824
+0.0696046
+0.0677455
+0.0659068
+0.0640902
+0.0622977
+0.0605314
+0.0587936
+0.0570871
+0.0554146
+0.0537793
+0.0521848
+0.0506349
+0.0491271
+0.0476619
+0.0462541
+0.0449091
+0.0436326
+0.0424268
+0.0412614
+0.0401816
+0.0391947
+0.0383078
+0.0375279
+0.0368619
+0.036316
+0.0358958
+0.0355866
+0.0354034
+0.0353552
+0.0354426
+0.0356646
+0.0360187
+0.0364086
+0.0367894
+0.037282
+0.0378835
+0.0386002
+0.0393153
+0.0399393
+0.0406314
+0.0414278
+0.0423228
+0.0432967
+0.0443497
+0.0454803
+0.0466502
+0.0478917
+0.0490694
+0.0502944
+0.0515834
+0.0529317
+0.0543325
+0.05577
+0.0572552
+0.0587844
+0.0603378
+0.059653
+0.0590288
+0.0584801
+0.058009
+0.0576173
+0.0573068
+0.0570788
+0.0569342
+0.0568551
+0.0568463
+0.0569218
+0.0570814
+0.0573186
+0.057565
+0.0577953
+0.0581073
+0.0584998
+0.0589711
+0.0595193
+0.0601248
+0.0607901
+0.0615192
+0.0623088
+0.0631645
+0.0640837
+0.0650637
+0.0661018
+0.0671591
+0.0682653
+0.0694229
+0.0706296
+0.0718828
+0.0731605
+0.0744127
+0.0757077
+0.0862888
+0.0842854
+0.0822915
+0.0803079
+0.0783353
+0.0763746
+0.0744268
+0.0724928
+0.0705738
+0.0686711
+0.066786
+0.0649201
+0.0630751
+0.0612529
+0.0594556
+0.0576855
+0.0559451
+0.0542374
+0.0525656
+0.050933
+0.0493438
+0.0478022
+0.0463081
+0.0448467
+0.043426
+0.0420714
+0.0407895
+0.0395812
+0.0384543
+0.0374219
+0.0364919
+0.0356724
+0.034971
+0.0343952
+0.0339512
+0.0336288
+0.0334349
+0.0333838
+0.0334764
+0.0337113
+0.0340858
+0.0345807
+0.0349814
+0.0354905
+0.0361219
+0.0367646
+0.0373564
+0.0379692
+0.0386965
+0.0395319
+0.0404655
+0.0414747
+0.0425728
+0.0437211
+0.0449368
+0.046106
+0.0473063
+0.0485757
+0.0499091
+0.0512989
+0.0527281
+0.0542081
+0.0557349
+0.0572928
+0.0588868
+0.0584659
+0.0578289
+0.0572687
+0.0567875
+0.0563874
+0.0560701
+0.055837
+0.0556848
+0.0555989
+0.0555899
+0.0556672
+0.0557737
+0.0558563
+0.0560245
+0.0562626
+0.0565831
+0.0569861
+0.0574698
+0.0580322
+0.0586497
+0.0593315
+0.0600764
+0.0608846
+0.0617601
+0.0626999
+0.0637012
+0.0647611
+0.0658357
+0.0669637
+0.0681435
+0.0693724
+0.0706395
+0.071922
+0.0731955
+0.0745115
+0.0855937
+0.0835736
+0.0815623
+0.0795605
+0.077569
+0.0755884
+0.0736197
+0.071664
+0.0697222
+0.0677956
+0.0658854
+0.0639933
+0.0621208
+0.0602697
+0.0584422
+0.0566404
+0.0548669
+0.0531246
+0.0514165
+0.0497463
+0.0481179
+0.0465182
+0.044937
+0.0434088
+0.0419394
+0.0405351
+0.039203
+0.0379507
+0.0367765
+0.0356955
+0.0347193
+0.0338569
+0.0331172
+0.0325085
+0.0320383
+0.0317015
+0.0314957
+0.0314415
+0.0315398
+0.031789
+0.0321858
+0.0327029
+0.0332143
+0.0337462
+0.034304
+0.034855
+0.035378
+0.0360245
+0.0367903
+0.037668
+0.0386341
+0.03969
+0.040817
+0.0420024
+0.0431582
+0.0443332
+0.0455802
+0.0468965
+0.0482735
+0.0496932
+0.0511671
+0.0526909
+0.0542456
+0.0558407
+0.0574741
+0.0573379
+0.0566883
+0.0561167
+0.0556255
+0.055217
+0.0548929
+0.0546547
+0.0544886
+0.054402
+0.0543116
+0.0542369
+0.054249
+0.0543339
+0.0545069
+0.0547669
+0.0550984
+0.0555121
+0.0560086
+0.0565855
+0.0572179
+0.0579166
+0.0586798
+0.0595071
+0.0604025
+0.0613631
+0.0623858
+0.0634644
+0.0645595
+0.0657094
+0.0669113
+0.0681537
+0.069442
+0.0707298
+0.0720243
+0.0733614
+0.0849494
+0.0829136
+0.0808859
+0.078867
+0.0768574
+0.074858
+0.0728696
+0.0708932
+0.0689297
+0.0669803
+0.0650462
+0.0631289
+0.06123
+0.0593512
+0.0574944
+0.0556619
+0.0538562
+0.0520801
+0.0503366
+0.0486277
+0.0469132
+0.0452398
+0.0436122
+0.0420359
+0.0405167
+0.0390613
+0.0376772
+0.0363724
+0.0351536
+0.0340211
+0.0329954
+0.0320866
+0.0313051
+0.0306605
+0.0301615
+0.0298106
+0.0295916
+0.029534
+0.0296385
+0.0299037
+0.0303158
+0.0308573
+0.0314963
+0.0319546
+0.0323975
+0.0328747
+0.0334262
+0.0341097
+0.0349175
+0.0358363
+0.0368421
+0.0379435
+0.0390934
+0.0402211
+0.0413786
+0.0425994
+0.0438957
+0.045258
+0.0466665
+0.0481335
+0.0496537
+0.0512044
+0.0528005
+0.0544348
+0.0560979
+0.0562727
+0.0556106
+0.0550278
+0.0545268
+0.05411
+0.0537793
+0.0535273
+0.0532536
+0.0529966
+0.0528292
+0.0527523
+0.0527664
+0.0528585
+0.0530363
+0.0533035
+0.0536493
+0.0540741
+0.0545836
+0.0551754
+0.0558355
+0.0565512
+0.057333
+0.0581794
+0.0590949
+0.0600764
+0.0611207
+0.0622058
+0.0633334
+0.0645051
+0.0657198
+0.0669834
+0.0682938
+0.069586
+0.0709014
+0.0722593
+0.084357
+0.0823066
+0.0802636
+0.0782286
+0.0762022
+0.0741852
+0.0721783
+0.0701823
+0.0681984
+0.0662274
+0.0642707
+0.0623296
+0.0604055
+0.0585002
+0.0566156
+0.0547537
+0.052917
+0.0511082
+0.0492986
+0.0475073
+0.0457508
+0.0440333
+0.0423594
+0.0407346
+0.0391649
+0.0376573
+0.0362196
+0.0348603
+0.0335866
+0.0323994
+0.0313207
+0.0303619
+0.0295347
+0.0288505
+0.0283197
+0.027949
+0.0277155
+0.0276539
+0.0277655
+0.0280484
+0.028484
+0.0290596
+0.0297426
+0.0300588
+0.0304716
+0.0309109
+0.0314968
+0.0322212
+0.0330752
+0.0340379
+0.0350953
+0.0362157
+0.0373102
+0.0384465
+0.0396366
+0.0409095
+0.0422544
+0.0436499
+0.0451085
+0.0466219
+0.0481705
+0.0497675
+0.0514025
+0.0530702
+0.0547748
+0.0552737
+0.0545995
+0.0540058
+0.0534953
+0.0529711
+0.0524919
+0.0521005
+0.0517988
+0.0515655
+0.0513935
+0.0513145
+0.0513289
+0.0514341
+0.0516168
+0.0518914
+0.0522509
+0.052687
+0.0532098
+0.0538167
+0.054505
+0.055239
+0.0560394
+0.0569051
+0.0578408
+0.0588432
+0.0598828
+0.0609775
+0.0621207
+0.063315
+0.0645615
+0.0658573
+0.0671909
+0.0684933
+0.0698293
+0.0712071
+0.0836676
+0.0817539
+0.0796967
+0.0776468
+0.0756048
+0.0735714
+0.0715473
+0.0695333
+0.0675302
+0.0655392
+0.0635613
+0.0615978
+0.0596502
+0.0577199
+0.0558089
+0.053914
+0.0520143
+0.0501383
+0.0482889
+0.0464632
+0.0446657
+0.0429047
+0.041185
+0.0395119
+0.0378917
+0.0363313
+0.0348389
+0.0334235
+0.0320928
+0.0308482
+0.0297132
+0.0287007
+0.0278242
+0.0270969
+0.026531
+0.0261349
+0.025885
+0.0258191
+0.0259386
+0.0262412
+0.0267063
+0.0273194
+0.0278685
+0.0281636
+0.0285069
+0.028976
+0.0296001
+0.0303699
+0.0312744
+0.0322802
+0.0333776
+0.0344319
+0.0355387
+0.0366961
+0.0379412
+0.0392655
+0.0406455
+0.0420943
+0.0435993
+0.0451454
+0.0467431
+0.0483785
+0.0500512
+0.0517624
+0.0535087
+0.0540327
+0.053308
+0.0526547
+0.0520596
+0.0515435
+0.051051
+0.0506484
+0.0503381
+0.050118
+0.0499781
+0.0499104
+0.0499253
+0.0500362
+0.0502424
+0.0505289
+0.0509036
+0.0513514
+0.0518876
+0.0525099
+0.0532151
+0.0539838
+0.054803
+0.0556878
+0.0566355
+0.0576255
+0.0586806
+0.0597973
+0.0609562
+0.0621701
+0.0634364
+0.0647521
+0.0661098
+0.067454
+0.0688072
+0.0701974
+0.0820807
+0.0808505
+0.0791738
+0.0771162
+0.0750661
+0.0730183
+0.0709784
+0.0689477
+0.0669272
+0.0649176
+0.0629202
+0.0609361
+0.0589666
+0.0569882
+0.0550202
+0.0530697
+0.0511387
+0.0492294
+0.0473445
+0.0454869
+0.0436603
+0.0418605
+0.040096
+0.0383755
+0.0367051
+0.035092
+0.0335445
+0.032072
+0.0306828
+0.0293785
+0.0281844
+0.0271149
+0.0261854
+0.0254112
+0.0248069
+0.0243828
+0.0241148
+0.024044
+0.0241723
+0.0244967
+0.0249916
+0.0256441
+0.0259252
+0.0262166
+0.0265775
+0.02708
+0.0277469
+0.0285666
+0.02952
+0.0305766
+0.0315952
+0.0326513
+0.0337838
+0.0349954
+0.0362949
+0.0376564
+0.0390931
+0.0405882
+0.0421309
+0.0437289
+0.0453646
+0.0470424
+0.0487608
+0.0505159
+0.0523038
+0.0525578
+0.0518125
+0.0511502
+0.0505741
+0.0500545
+0.0496103
+0.049251
+0.0489318
+0.0487079
+0.0485641
+0.0485187
+0.0485722
+0.0486939
+0.0489058
+0.0492129
+0.0495982
+0.0500759
+0.0506258
+0.0512633
+0.0519854
+0.0527887
+0.0536275
+0.054508
+0.0554495
+0.0564602
+0.0575343
+0.0586584
+0.0598393
+0.0610753
+0.0623639
+0.0637017
+0.0650841
+0.0664647
+0.0678333
+0.0692297
+0.0805221
+0.0792678
+0.0780548
+0.076627
+0.0745635
+0.0725074
+0.0704594
+0.0684203
+0.0663908
+0.0643647
+0.0623362
+0.0603041
+0.0582834
+0.0562755
+0.0542817
+0.0523037
+0.0503433
+0.0484026
+0.0464842
+0.0445908
+0.0427259
+0.0408933
+0.0390975
+0.0373332
+0.0356139
+0.033949
+0.0323468
+0.0308172
+0.0293687
+0.0280033
+0.0267478
+0.0256184
+0.0246325
+0.0238078
+0.0231617
+0.0227067
+0.0224185
+0.0223423
+0.0224803
+0.0228287
+0.023345
+0.0238483
+0.0239966
+0.0243111
+0.0246917
+0.0252318
+0.0259462
+0.026821
+0.0278199
+0.0288124
+0.0298061
+0.0309077
+0.0320783
+0.0333475
+0.0346863
+0.0361083
+0.0375912
+0.0391294
+0.0407274
+0.0423628
+0.044046
+0.0457721
+0.0475365
+0.0493351
+0.0511643
+0.0511343
+0.0503679
+0.0496863
+0.0490931
+0.0485739
+0.0481474
+0.047795
+0.0475265
+0.0473558
+0.0472093
+0.0471627
+0.0472177
+0.0473741
+0.0476308
+0.0479492
+0.0483536
+0.0488444
+0.0494188
+0.0500722
+0.0508117
+0.0516336
+0.0524773
+0.0533647
+0.0543259
+0.0553522
+0.0564347
+0.0575802
+0.0587827
+0.0600406
+0.0613508
+0.0627103
+0.0641143
+0.0655293
+0.066917
+0.0682923
+0.0789936
+0.0777146
+0.076477
+0.0752828
+0.0741223
+0.0720536
+0.0699923
+0.0679392
+0.0658868
+0.0638213
+0.0617631
+0.0597115
+0.0576701
+0.05564
+0.0536226
+0.0516193
+0.0496319
+0.0476622
+0.0457127
+0.043786
+0.0418853
+0.0400142
+0.0381772
+0.0363793
+0.0346261
+0.0329123
+0.031257
+0.0296712
+0.0281639
+0.026737
+0.025419
+0.0242278
+0.0231828
+0.0223046
+0.0216136
+0.0211219
+0.0208117
+0.0207296
+0.0208783
+0.0212479
+0.0217945
+0.0219602
+0.0221169
+0.0224577
+0.0228604
+0.0234427
+0.02421
+0.0251402
+0.0260998
+0.0270167
+0.028074
+0.0291942
+0.0304262
+0.0317408
+0.0331444
+0.034612
+0.0361442
+0.0377389
+0.039376
+0.0410647
+0.0427989
+0.0445733
+0.0463834
+0.048225
+0.0500947
+0.0497551
+0.0489661
+0.0482636
+0.0476516
+0.0471314
+0.0466922
+0.046352
+0.046112
+0.0459365
+0.045865
+0.0458712
+0.0459278
+0.0460885
+0.0463484
+0.0466938
+0.0471352
+0.0476572
+0.0482613
+0.0489402
+0.0496965
+0.0505366
+0.0513822
+0.0522881
+0.0532609
+0.0542967
+0.0553998
+0.0565663
+0.05779
+0.0590689
+0.0604003
+0.0617807
+0.0632055
+0.0645568
+0.0658531
+0.0671827
+0.077468
+0.0761927
+0.07493
+0.0737107
+0.0725371
+0.0714088
+0.0695863
+0.0674918
+0.0654036
+0.0633224
+0.0612488
+0.0591836
+0.0571278
+0.0550823
+0.0530458
+0.0510199
+0.0490082
+0.0470124
+0.0450348
+0.0430778
+0.0411443
+0.0392379
+0.0373627
+0.0355237
+0.0337266
+0.0319787
+0.0302864
+0.0286472
+0.0270724
+0.0255847
+0.0242041
+0.0229498
+0.0218438
+0.0209095
+0.0201708
+0.0196497
+0.01932
+0.0192315
+0.0193918
+0.0197568
+0.0199888
+0.0201336
+0.0202996
+0.0206705
+0.0210977
+0.0217273
+0.022553
+0.0234611
+0.0242892
+0.0252805
+0.02635
+0.02754
+0.0288229
+0.0302074
+0.0316557
+0.0331798
+0.0347689
+0.0364077
+0.038102
+0.0398447
+0.0416298
+0.043452
+0.0453069
+0.0471886
+0.0490237
+0.0484176
+0.0476163
+0.0468936
+0.0462635
+0.0457297
+0.0452948
+0.0449455
+0.0446906
+0.0445301
+0.0444771
+0.0445319
+0.044658
+0.0448597
+0.0451273
+0.045482
+0.0459385
+0.0464939
+0.0471303
+0.0478451
+0.0486371
+0.0495123
+0.0503586
+0.0512717
+0.0522551
+0.0533105
+0.0544336
+0.0556203
+0.0568643
+0.0581636
+0.0595153
+0.0608139
+0.0620336
+0.0632989
+0.0645948
+0.0659078
+0.0759622
+0.0746686
+0.0734027
+0.0721709
+0.0709686
+0.0698069
+0.0686909
+0.0670918
+0.0649908
+0.0628958
+0.0608077
+0.058727
+0.0566546
+0.0545915
+0.0525386
+0.0504974
+0.0484692
+0.0464558
+0.0444545
+0.0424708
+0.0405084
+0.0385706
+0.0366613
+0.0347851
+0.0329478
+0.0311563
+0.0294188
+0.0277293
+0.0261092
+0.0245718
+0.0231308
+0.0218149
+0.0206482
+0.0196571
+0.0188694
+0.0182915
+0.0179324
+0.017837
+0.0179971
+0.0181021
+0.0182139
+0.0183728
+0.0185631
+0.018954
+0.0194223
+0.0201044
+0.0209446
+0.0216503
+0.022545
+0.0235699
+0.0246997
+0.0259448
+0.0273014
+0.0287292
+0.0302421
+0.0318234
+0.033463
+0.0351627
+0.0369142
+0.0387104
+0.0405455
+0.042413
+0.0442265
+0.0460545
+0.0479129
+0.047099
+0.0462774
+0.0455417
+0.0448939
+0.0443448
+0.0438984
+0.0435528
+0.0432774
+0.0431117
+0.043057
+0.0431136
+0.0432812
+0.0435584
+0.0439265
+0.0443211
+0.0448101
+0.0453826
+0.046049
+0.0467947
+0.0476112
+0.0485096
+0.0493968
+0.0503215
+0.0513231
+0.0523973
+0.0535395
+0.0547456
+0.0560091
+0.0572373
+0.0583751
+0.0595591
+0.060781
+0.0620367
+0.0633309
+0.0646519
+0.0744734
+0.0731385
+0.0718456
+0.070597
+0.0693951
+0.0682357
+0.0670982
+0.0660065
+0.0646495
+0.0625432
+0.0604428
+0.0583492
+0.0562628
+0.0541848
+0.0521159
+0.0500575
+0.0480107
+0.0459772
+0.0439588
+0.0419577
+0.0399764
+0.0380179
+0.0360794
+0.0341713
+0.0322991
+0.0304694
+0.0286903
+0.0269543
+0.0252846
+0.0236998
+0.0222182
+0.0208491
+0.019625
+0.0185795
+0.0177422
+0.0170933
+0.0167084
+0.0166061
+0.0164349
+0.0163905
+0.0165389
+0.0166969
+0.0169074
+0.0173253
+0.0178514
+0.0185836
+0.0191494
+0.0199159
+0.0208796
+0.0219293
+0.0231236
+0.0244405
+0.0258428
+0.0273399
+0.0289098
+0.0305487
+0.0322531
+0.0340134
+0.0358211
+0.0376689
+0.0394543
+0.0412611
+0.0431035
+0.0449771
+0.0467213
+0.0458035
+0.0449583
+0.0442035
+0.043546
+0.042988
+0.0425273
+0.0421755
+0.0419153
+0.0417601
+0.0417036
+0.0417621
+0.0419351
+0.0422212
+0.0426181
+0.0431079
+0.0436936
+0.0443206
+0.0450127
+0.0457894
+0.0466495
+0.0475695
+0.0485089
+0.0494502
+0.0504691
+0.0515254
+0.0525983
+0.0537391
+0.0548942
+0.055994
+0.0571271
+0.0582958
+0.0595124
+0.0607836
+0.0620804
+0.0634181
+0.0730028
+0.0716427
+0.0703222
+0.0690461
+0.0678167
+0.0666366
+0.0655051
+0.0644065
+0.0633491
+0.0622656
+0.0601556
+0.0580516
+0.0559542
+0.0538642
+0.0517825
+0.0497103
+0.0476486
+0.0455989
+0.043563
+0.0415428
+0.0395408
+0.0375599
+0.0356035
+0.0336761
+0.0317811
+0.0299193
+0.028105
+0.0263392
+0.0246278
+0.0229978
+0.0214679
+0.0200542
+0.0187784
+0.0176824
+0.0167748
+0.0160868
+0.0155189
+0.0150429
+0.014853
+0.0148057
+0.0149781
+0.0151419
+0.0153743
+0.0158326
+0.0162463
+0.0168325
+0.0174416
+0.0182798
+0.0192589
+0.0203831
+0.021645
+0.0230116
+0.0244857
+0.0260387
+0.0276743
+0.0293821
+0.0311505
+0.0329625
+0.0347173
+0.0364956
+0.0383166
+0.0401746
+0.0420646
+0.0439825
+0.045456
+0.0445444
+0.043705
+0.0429325
+0.0422552
+0.0416821
+0.04121
+0.0408469
+0.0405955
+0.0404418
+0.0404064
+0.040484
+0.0406624
+0.0409574
+0.041366
+0.0418637
+0.0424686
+0.0431763
+0.0439818
+0.0448235
+0.0457088
+0.0466803
+0.0474933
+0.0483583
+0.0493056
+0.0503305
+0.0514283
+0.0525879
+0.0536622
+0.0547189
+0.0558416
+0.0570264
+0.0582695
+0.0595464
+0.0608321
+0.06216
+0.0715506
+0.0701813
+0.0688349
+0.0675306
+0.0662731
+0.0650651
+0.0639094
+0.0628015
+0.0617324
+0.0607074
+0.0597452
+0.0578355
+0.0557299
+0.0536312
+0.0515402
+0.0494577
+0.0473851
+0.0453235
+0.0432746
+0.0412403
+0.0392229
+0.037225
+0.0352501
+0.0333022
+0.0313847
+0.0294979
+0.0276559
+0.0258684
+0.0241473
+0.0224881
+0.0209113
+0.0194459
+0.0181159
+0.0169534
+0.015921
+0.0149133
+0.0141466
+0.0136374
+0.0134354
+0.0133926
+0.0135814
+0.013761
+0.0140169
+0.0141489
+0.0145598
+0.0151956
+0.0158529
+0.0167367
+0.0177604
+0.0189438
+0.0202564
+0.0216925
+0.0232262
+0.0248499
+0.0265495
+0.0283021
+0.0300231
+0.0317706
+0.033562
+0.0353984
+0.0372731
+0.0391806
+0.0411163
+0.0430765
+0.0441846
+0.0432605
+0.0424295
+0.041696
+0.0410408
+0.0404505
+0.0399682
+0.0395937
+0.0393378
+0.0391948
+0.0391583
+0.0392443
+0.0394518
+0.0397743
+0.0401873
+0.0406993
+0.0413213
+0.0420483
+0.0428751
+0.0437959
+0.0447543
+0.0454993
+0.046298
+0.047185
+0.0481265
+0.0491383
+0.0502253
+0.0513533
+0.052365
+0.0534474
+0.0545962
+0.0558075
+0.0570248
+0.0582739
+0.059557
+0.0608736
+0.0701181
+0.0687541
+0.0673841
+0.0660531
+0.0647669
+0.0635303
+0.0623461
+0.0612174
+0.0601359
+0.0590997
+0.0581109
+0.0571889
+0.0553746
+0.0533349
+0.0513076
+0.0492942
+0.0472191
+0.0451512
+0.0430952
+0.0410526
+0.0390255
+0.037017
+0.0350304
+0.0330695
+0.0311377
+0.029235
+0.0273753
+0.0255682
+0.0238254
+0.0221357
+0.0205236
+0.0190275
+0.017575
+0.0161447
+0.0148714
+0.0137934
+0.0129726
+0.0124438
+0.0121249
+0.0120888
+0.0123713
+0.0124989
+0.0124143
+0.0125421
+0.0130039
+0.0136994
+0.0144229
+0.0152955
+0.0163671
+0.0175775
+0.0189634
+0.0204673
+0.0220723
+0.0237378
+0.0253903
+0.0271072
+0.0288556
+0.0306608
+0.0325135
+0.0344059
+0.0363318
+0.0382863
+0.040265
+0.0422647
+0.0429419
+0.0420348
+0.0411791
+0.0404228
+0.0397615
+0.0392117
+0.0387779
+0.0384246
+0.0381608
+0.0380217
+0.0379957
+0.0380842
+0.0382981
+0.0386352
+0.0390735
+0.039622
+0.0402606
+0.0410065
+0.0418538
+0.0426847
+0.0435705
+0.0442752
+0.0450755
+0.0459527
+0.0469091
+0.0479466
+0.0490601
+0.0500803
+0.0511288
+0.0522227
+0.0533412
+0.0545062
+0.0557139
+0.0569721
+0.0582661
+0.0595895
+0.0686634
+0.0673333
+0.0659574
+0.0646143
+0.0633007
+0.0620348
+0.0608215
+0.059664
+0.0585629
+0.0575137
+0.0565142
+0.0555658
+0.0546887
+0.0527724
+0.0507227
+0.0486852
+0.0466616
+0.0446538
+0.042664
+0.0406892
+0.0387113
+0.0367541
+0.0348248
+0.0329282
+0.0310269
+0.0291282
+0.0272683
+0.0254536
+0.0236329
+0.0218081
+0.0200567
+0.0183992
+0.0168112
+0.0153375
+0.0140362
+0.0128947
+0.0117653
+0.0109617
+0.0105574
+0.0105157
+0.0108399
+0.0110178
+0.0109737
+0.0111181
+0.0116365
+0.0124087
+0.0130695
+0.0139739
+0.0150602
+0.0163659
+0.0178098
+0.0193319
+0.0208791
+0.0225281
+0.0242254
+0.025983
+0.0278022
+0.0296716
+0.0315823
+0.0335274
+0.035501
+0.0374987
+0.0395169
+0.0415526
+0.0417348
+0.0408111
+0.0399862
+0.0392307
+0.038549
+0.0379816
+0.0375336
+0.0371916
+0.0369693
+0.036876
+0.0369127
+0.0370041
+0.0372241
+0.0375708
+0.0380345
+0.0385993
+0.0392782
+0.0400142
+0.0407217
+0.0415117
+0.0423359
+0.0430608
+0.0438832
+0.0447835
+0.0457643
+0.0468243
+0.0478494
+0.0488376
+0.0498435
+0.0509046
+0.0520106
+0.0531838
+0.054408
+0.0556791
+0.0569833
+0.0583151
+0.0671877
+0.0658385
+0.0645352
+0.0631888
+0.0618715
+0.0605804
+0.0593386
+0.0581516
+0.0570241
+0.0559528
+0.0549411
+0.0539827
+0.0530795
+0.0522525
+0.0502193
+0.0481652
+0.0461218
+0.0440894
+0.0420729
+0.0400747
+0.0380977
+0.0361453
+0.0341938
+0.0322601
+0.0303614
+0.0285045
+0.0266972
+0.0248774
+0.0230912
+0.0213093
+0.0195421
+0.0178372
+0.016239
+0.0147712
+0.0131972
+0.0117713
+0.0105891
+0.00968962
+0.00923169
+0.00919499
+0.00933499
+0.00963822
+0.00981213
+0.0099758
+0.0105505
+0.0112634
+0.0119101
+0.0128002
+0.013968
+0.0151974
+0.0165638
+0.0180929
+0.0197254
+0.0214042
+0.0231687
+0.0250007
+0.0268864
+0.0288153
+0.0307792
+0.0327719
+0.0347884
+0.0368249
+0.0388781
+0.0409455
+0.040608
+0.0396581
+0.0388087
+0.0380665
+0.0374096
+0.0368408
+0.0363788
+0.0360258
+0.0357963
+0.0356999
+0.0357378
+0.0359096
+0.0362133
+0.0365956
+0.037074
+0.0376678
+0.0382151
+0.0388353
+0.0395417
+0.0403233
+0.0411454
+0.0418882
+0.0427111
+0.0436111
+0.0445966
+0.0456566
+0.0465731
+0.0475074
+0.0485122
+0.0495747
+0.0507058
+0.0518832
+0.0531243
+0.054408
+0.0557152
+0.0570766
+0.0657379
+0.0643686
+0.0630392
+0.0617546
+0.0604503
+0.059157
+0.0578882
+0.0566758
+0.0555234
+0.0544325
+0.0533949
+0.0524254
+0.0515132
+0.0506606
+0.049796
+0.0477237
+0.0456624
+0.0436137
+0.0415796
+0.0395621
+0.0375626
+0.0355809
+0.0336251
+0.0317
+0.029797
+0.0279027
+0.0260548
+0.0242641
+0.0224774
+0.0207503
+0.0190926
+0.0174481
+0.0159035
+0.014183
+0.0124883
+0.0109707
+0.0096971
+0.0087733
+0.00826279
+0.00778315
+0.00762546
+0.00800581
+0.0086348
+0.00908928
+0.00948926
+0.0100424
+0.0106433
+0.0115894
+0.0126397
+0.0139352
+0.0154139
+0.0170045
+0.0186709
+0.0204366
+0.0222778
+0.0241774
+0.0261226
+0.028104
+0.0301143
+0.0321483
+0.0342016
+0.036271
+0.0383538
+0.0404481
+0.0395493
+0.0385951
+0.0377217
+0.0369578
+0.036299
+0.0357218
+0.0352714
+0.0349528
+0.0347204
+0.034621
+0.03466
+0.0348371
+0.03515
+0.0355953
+0.0360842
+0.0365273
+0.0370857
+0.0377003
+0.0383856
+0.0391515
+0.039957
+0.0407011
+0.0415309
+0.0424302
+0.0434214
+0.0443895
+0.0452576
+0.0461886
+0.0471937
+0.0482744
+0.049412
+0.050619
+0.05189
+0.0531688
+0.0544908
+0.0558271
+0.064195
+0.0629301
+0.0615764
+0.0602691
+0.0590056
+0.0577436
+0.0564819
+0.0552387
+0.0540556
+0.0529368
+0.0518846
+0.050897
+0.0499751
+0.0491149
+0.0481726
+0.0472112
+0.0453025
+0.0432367
+0.0411839
+0.0391461
+0.0371257
+0.0351257
+0.0331498
+0.0312026
+0.0292891
+0.0274097
+0.0255449
+0.0237156
+0.0219527
+0.0202665
+0.0185931
+0.0170279
+0.0155045
+0.0138553
+0.0121275
+0.0105584
+0.00924143
+0.00826811
+0.00716523
+0.0063899
+0.00621743
+0.0066593
+0.00734667
+0.00781071
+0.00825849
+0.00875537
+0.00941464
+0.0103568
+0.011509
+0.0128939
+0.0144365
+0.0160706
+0.0178246
+0.0196663
+0.0215734
+0.0235299
+0.0255245
+0.0275489
+0.029597
+0.0316642
+0.033747
+0.0358364
+0.0379356
+0.0395201
+0.0384874
+0.0375332
+0.0366722
+0.0359084
+0.0352435
+0.0346956
+0.0342317
+0.0339033
+0.0337144
+0.0336243
+0.0336645
+0.0338467
+0.0341687
+0.034595
+0.0349456
+0.0353705
+0.035903
+0.0364644
+0.0371408
+0.0379319
+0.0387834
+0.0395308
+0.0403734
+0.0412935
+0.0422669
+0.0430852
+0.0439445
+0.0448922
+0.0459226
+0.0470151
+0.0481825
+0.0494195
+0.0506663
+0.0519163
+0.0532264
+0.0545563
+0.0626544
+0.0614045
+0.0601509
+0.0588147
+0.057531
+0.0562928
+0.0550781
+0.053845
+0.0526381
+0.0514885
+0.0504073
+0.0493981
+0.048467
+0.0476004
+0.0465725
+0.0455939
+0.0446885
+0.0429683
+0.040902
+0.0388494
+0.0368127
+0.0347947
+0.0327988
+0.0308295
+0.028892
+0.0269916
+0.0251267
+0.0232947
+0.0214973
+0.0197793
+0.0181634
+0.0165886
+0.0150454
+0.0135448
+0.012002
+0.0104961
+0.0091739
+0.00767458
+0.00633692
+0.00547514
+0.0052756
+0.00569986
+0.00637168
+0.00688301
+0.00722678
+0.00773756
+0.00850298
+0.00942147
+0.010664
+0.0120466
+0.0136318
+0.0153665
+0.0172056
+0.0191174
+0.0210709
+0.0230576
+0.0250784
+0.0271255
+0.0291935
+0.0312782
+0.0333764
+0.0354859
+0.0376046
+0.0384947
+0.0374393
+0.0364831
+0.0356362
+0.0348871
+0.0342158
+0.0336602
+0.0332401
+0.0329468
+0.0327527
+0.0326758
+0.0327456
+0.0329612
+0.0331684
+0.0334058
+0.0337312
+0.0341764
+0.0346765
+0.0352512
+0.0359505
+0.0367672
+0.03763
+0.0383218
+0.0391241
+0.0400304
+0.0410165
+0.0418089
+0.0426917
+0.0436557
+0.0446963
+0.045818
+0.0470086
+0.0481863
+0.0494019
+0.0506597
+0.0519562
+0.0532968
+0.0611504
+0.0598746
+0.0586449
+0.0574042
+0.0560882
+0.0548282
+0.0536213
+0.0524602
+0.051257
+0.0500941
+0.0489828
+0.0479444
+0.04697
+0.0460495
+0.0449954
+0.0440016
+0.0430786
+0.0422426
+0.0407251
+0.0386651
+0.0366203
+0.0345934
+0.0325873
+0.0305989
+0.0286346
+0.0267048
+0.0248183
+0.0229859
+0.0211129
+0.0192779
+0.0175117
+0.0158518
+0.0143062
+0.0128805
+0.0115757
+0.0103983
+0.00904042
+0.0074121
+0.00606149
+0.00518187
+0.00445108
+0.00435342
+0.00481227
+0.00573661
+0.00648684
+0.0070318
+0.00787203
+0.00881921
+0.0100233
+0.0114706
+0.0131249
+0.0149089
+0.0167868
+0.0187218
+0.0207022
+0.0227212
+0.0247694
+0.0268401
+0.0289285
+0.031031
+0.0331449
+0.0352682
+0.0373993
+0.0375122
+0.0364372
+0.0354536
+0.0345811
+0.0338281
+0.0331986
+0.0326766
+0.0322701
+0.0319513
+0.03178
+0.0317592
+0.0318739
+0.0318445
+0.031955
+0.0321991
+0.0325179
+0.0329794
+0.0334754
+0.0340704
+0.0347934
+0.0356366
+0.0363194
+0.0370363
+0.0378581
+0.0387576
+0.0397306
+0.0405865
+0.0414828
+0.0424634
+0.0435259
+0.0446374
+0.0457519
+0.0469324
+0.0481483
+0.0494134
+0.0507214
+0.0520693
+0.0596533
+0.0583812
+0.0571274
+0.0559208
+0.0546952
+0.0534023
+0.0521694
+0.0509977
+0.0498477
+0.0486746
+0.0475457
+0.0464818
+0.0454908
+0.0445506
+0.0434684
+0.0424423
+0.0414953
+0.0406336
+0.0398717
+0.03859
+0.0365367
+0.0344952
+0.0324731
+0.0304744
+0.0284975
+0.026507
+0.0245301
+0.0225778
+0.0206734
+0.0188311
+0.0170429
+0.015352
+0.0137952
+0.0123834
+0.0111642
+0.0100363
+0.0088846
+0.00748123
+0.00601527
+0.00432808
+0.0031796
+0.0031053
+0.00381313
+0.00493867
+0.00607005
+0.00674806
+0.00749418
+0.00843069
+0.00972605
+0.0112349
+0.0129054
+0.014713
+0.016613
+0.0185661
+0.0205615
+0.0225931
+0.0246519
+0.0267317
+0.028828
+0.0309373
+0.0330572
+0.0351858
+0.0373216
+0.0365725
+0.0355103
+0.0345192
+0.0336225
+0.0328475
+0.0322015
+0.0316907
+0.0313027
+0.0310332
+0.0308864
+0.0307233
+0.0306767
+0.0306312
+0.0307154
+0.0309549
+0.031346
+0.0318365
+0.0323617
+0.0329782
+0.0337176
+0.0344494
+0.035063
+0.0357532
+0.0365619
+0.0374706
+0.0384692
+0.03943
+0.0403202
+0.0412837
+0.0423152
+0.0433781
+0.0445073
+0.0457026
+0.0469171
+0.0481933
+0.0495323
+0.0508958
+0.0581729
+0.056899
+0.0556444
+0.0544096
+0.0532285
+0.052016
+0.0507634
+0.0495617
+0.0484293
+0.0472816
+0.0461394
+0.0450502
+0.0440271
+0.0429792
+0.0419352
+0.0409178
+0.0399612
+0.039074
+0.0382812
+0.0375986
+0.036512
+0.0344274
+0.0323568
+0.0303031
+0.02827
+0.0262622
+0.024286
+0.0223499
+0.0204497
+0.0185855
+0.0167992
+0.0150902
+0.0135198
+0.0121132
+0.0109076
+0.00994743
+0.00867759
+0.0075726
+0.00577473
+0.00404356
+0.00281627
+0.00269423
+0.00360196
+0.00459821
+0.00557008
+0.00689887
+0.00750193
+0.00850998
+0.0098204
+0.0113305
+0.013016
+0.0148141
+0.0167062
+0.0186633
+0.0206535
+0.0226769
+0.0247287
+0.0268026
+0.0288937
+0.0309986
+0.0331145
+0.0352397
+0.0367606
+0.0356995
+0.0346526
+0.0336552
+0.0327635
+0.0319818
+0.0313201
+0.0307997
+0.0303058
+0.0299344
+0.0296613
+0.0294685
+0.029383
+0.0294112
+0.0294994
+0.029749
+0.030152
+0.0306572
+0.0312118
+0.0319055
+0.0326764
+0.0332014
+0.0337878
+0.0345036
+0.035338
+0.0362631
+0.037294
+0.0382616
+0.0391193
+0.0400477
+0.0410534
+0.0421405
+0.0432999
+0.0444965
+0.0457353
+0.0470431
+0.0483979
+0.049791
+0.0567385
+0.0554317
+0.0541819
+0.0529369
+0.0517289
+0.0505557
+0.0493799
+0.0481791
+0.0470135
+0.0459228
+0.0447616
+0.0436644
+0.0426159
+0.041452
+0.0403686
+0.0393774
+0.0384249
+0.0375554
+0.0367525
+0.0360409
+0.0354507
+0.0343792
+0.0323055
+0.0302483
+0.0282112
+0.0261989
+0.0242176
+0.0222756
+0.0203691
+0.0185139
+0.0167399
+0.0150758
+0.01351
+0.0121095
+0.0109011
+0.00962953
+0.00836593
+0.00744589
+0.00590723
+0.00457959
+0.00347656
+0.00313329
+0.00313731
+0.0041705
+0.00535996
+0.00635635
+0.00758967
+0.00895783
+0.0102134
+0.0117261
+0.0133855
+0.0151739
+0.0170392
+0.0189702
+0.0209452
+0.0229582
+0.0249875
+0.027042
+0.0291164
+0.0312066
+0.0333096
+0.035249
+0.0356017
+0.0345421
+0.0335539
+0.0326829
+0.0319386
+0.0311119
+0.0303391
+0.0296466
+0.0291029
+0.0287165
+0.0284402
+0.0281874
+0.0281026
+0.0281277
+0.0282199
+0.0284808
+0.0289058
+0.0294879
+0.030067
+0.0307876
+0.0315153
+0.0319828
+0.0325911
+0.0333326
+0.0341943
+0.0351494
+0.0362118
+0.0369749
+0.0378477
+0.0388138
+0.0398411
+0.0409424
+0.0421018
+0.0433225
+0.0445687
+0.0458771
+0.0472508
+0.0486843
+0.0552605
+0.0540133
+0.05273
+0.0515045
+0.0502743
+0.0490974
+0.0479255
+0.0467821
+0.0456589
+0.044535
+0.0434383
+0.0422878
+0.0411881
+0.0399866
+0.0388624
+0.0378317
+0.036898
+0.036026
+0.0352337
+0.034552
+0.0339359
+0.0334521
+0.0324004
+0.0303476
+0.0283153
+0.0263085
+0.0243334
+0.0223985
+0.0205032
+0.0186574
+0.0168942
+0.0152383
+0.01365
+0.0122489
+0.0108006
+0.00939165
+0.0082312
+0.00734783
+0.00617989
+0.00529174
+0.00395124
+0.003118
+0.00321346
+0.00352377
+0.00452018
+0.00588955
+0.00726258
+0.00885911
+0.0105242
+0.0121765
+0.0139575
+0.0157394
+0.0175631
+0.0194627
+0.0213962
+0.0233553
+0.0252014
+0.0270341
+0.0289134
+0.030818
+0.0327584
+0.0346765
+0.0344357
+0.0333842
+0.0324423
+0.0315407
+0.030769
+0.0300362
+0.0292178
+0.02853
+0.027959
+0.0274926
+0.0271909
+0.0269781
+0.0269079
+0.0268745
+0.0270054
+0.0273119
+0.027772
+0.028332
+0.0289361
+0.0296703
+0.0303872
+0.0308718
+0.0315016
+0.0322636
+0.0331295
+0.0341143
+0.0349485
+0.0357373
+0.0366263
+0.0375871
+0.0386294
+0.0397438
+0.0409274
+0.0421455
+0.0434164
+0.0447584
+0.0461654
+0.0476163
+0.053739
+0.0525023
+0.0512966
+0.0500742
+0.048862
+0.0476643
+0.0465233
+0.0453545
+0.0442487
+0.043192
+0.042128
+0.0409407
+0.039735
+0.0385512
+0.0374196
+0.036348
+0.0353794
+0.0344994
+0.0337375
+0.0330395
+0.0324685
+0.0319724
+0.0315814
+0.0305778
+0.0285619
+0.0265684
+0.0245744
+0.0226151
+0.0207023
+0.01885
+0.0170781
+0.0154142
+0.0138536
+0.012469
+0.0108775
+0.0094947
+0.00844373
+0.00757247
+0.00682983
+0.00567648
+0.00440098
+0.00378474
+0.00321027
+0.00322473
+0.00431191
+0.00570672
+0.00688273
+0.00843562
+0.0099959
+0.0117163
+0.0135201
+0.0152339
+0.0170572
+0.0189585
+0.0209165
+0.0227319
+0.0245449
+0.0264011
+0.0283007
+0.0302396
+0.0321414
+0.0340472
+0.0333729
+0.0322868
+0.0313165
+0.0304731
+0.0297117
+0.0289495
+0.0281413
+0.0274144
+0.0267879
+0.0263277
+0.0260234
+0.0257997
+0.0257225
+0.0256933
+0.0258301
+0.0261505
+0.0266476
+0.0272367
+0.0278756
+0.0286173
+0.0293793
+0.0298802
+0.0305257
+0.0312866
+0.0321787
+0.032968
+0.0337342
+0.0345475
+0.0354374
+0.0364108
+0.037464
+0.0385837
+0.0397877
+0.0410421
+0.0423387
+0.0437042
+0.045074
+0.0464878
+0.0522275
+0.0509871
+0.049784
+0.0486161
+0.0474566
+0.0462761
+0.0451161
+0.0439814
+0.0428532
+0.0417915
+0.0408094
+0.0396605
+0.0383495
+0.0371215
+0.0359729
+0.0349186
+0.0339228
+0.0330077
+0.0322105
+0.0315456
+0.030993
+0.0305284
+0.0301586
+0.0292772
+0.0284912
+0.0268383
+0.0248644
+0.0229173
+0.0210162
+0.0191769
+0.0174191
+0.0157602
+0.014232
+0.0126251
+0.0110857
+0.00979538
+0.00874493
+0.00791636
+0.00742758
+0.00641379
+0.00545586
+0.00458
+0.00382089
+0.00386526
+0.0043087
+0.005188
+0.0066138
+0.00823612
+0.00989143
+0.0114747
+0.0131131
+0.0148683
+0.0167265
+0.0186389
+0.0203499
+0.0221412
+0.0239989
+0.0258943
+0.0278284
+0.0297084
+0.0316091
+0.0335453
+0.0324226
+0.0313035
+0.0303017
+0.0294292
+0.0284602
+0.0276183
+0.0269096
+0.0263119
+0.0257165
+0.0252365
+0.0248907
+0.024639
+0.0245808
+0.024567
+0.0247477
+0.0250959
+0.025541
+0.0261491
+0.0268317
+0.0276442
+0.0284815
+0.0289978
+0.0296535
+0.0304361
+0.0311394
+0.0318085
+0.032583
+0.0333908
+0.0343057
+0.0352738
+0.036321
+0.0374308
+0.0386078
+0.0398623
+0.0411952
+0.042555
+0.0439406
+0.0453896
+0.0507479
+0.0494848
+0.0482734
+0.0471127
+0.0459777
+0.0448669
+0.0437259
+0.0426308
+0.041513
+0.0404334
+0.0394247
+0.0383975
+0.0370418
+0.035769
+0.0345754
+0.0334772
+0.0324898
+0.0315887
+0.0307638
+0.0300669
+0.0295165
+0.0291035
+0.0287719
+0.0278892
+0.0271193
+0.0264576
+0.0252696
+0.0233544
+0.021492
+0.0196972
+0.0179763
+0.0163625
+0.0147608
+0.0130969
+0.0115947
+0.0103358
+0.00930876
+0.00846944
+0.00795406
+0.0075729
+0.00626928
+0.00534546
+0.00509856
+0.0045171
+0.00453778
+0.00538438
+0.00680632
+0.00834638
+0.00976067
+0.0113564
+0.0130346
+0.0147991
+0.0165398
+0.0181851
+0.0199302
+0.0217561
+0.023644
+0.0255657
+0.02741
+0.0292961
+0.0312219
+0.0328129
+0.0315559
+0.0303247
+0.0291858
+0.0280926
+0.0270998
+0.0262366
+0.0255088
+0.0249313
+0.0243822
+0.0239455
+0.0235899
+0.0234037
+0.0232574
+0.0232426
+0.0234335
+0.0237935
+0.0242627
+0.0249114
+0.0257195
+0.0265565
+0.0274957
+0.0282212
+0.0288766
+0.0294777
+0.0299928
+0.0306561
+0.0313787
+0.0321693
+0.0330542
+0.0340325
+0.0351035
+0.0362441
+0.0374586
+0.0387503
+0.0401151
+0.0414541
+0.0428316
+0.0442748
+0.0493138
+0.0480176
+0.0467803
+0.0456023
+0.04446
+0.0433333
+0.0422901
+0.0411822
+0.0401282
+0.0391316
+0.0381089
+0.0371656
+0.0358134
+0.0344953
+0.0332636
+0.0321206
+0.0310901
+0.0301837
+0.0293795
+0.0286793
+0.0281019
+0.0276756
+0.0274049
+0.0265267
+0.0257436
+0.0251276
+0.0246395
+0.0239772
+0.0221517
+0.0203982
+0.0187371
+0.0171557
+0.0154517
+0.013857
+0.0124152
+0.0111852
+0.0102045
+0.00941221
+0.00886475
+0.00857022
+0.00736714
+0.00654431
+0.0057772
+0.00536439
+0.00543575
+0.00610397
+0.00702959
+0.00834169
+0.00995511
+0.0114965
+0.0131842
+0.0147151
+0.0163203
+0.017983
+0.019746
+0.0215875
+0.0234724
+0.0252828
+0.0271399
+0.0290435
+0.030985
+0.0317235
+0.030391
+0.0291325
+0.027919
+0.0267912
+0.0257777
+0.0249084
+0.0241866
+0.0236117
+0.0230799
+0.0225698
+0.0222015
+0.0220285
+0.0220478
+0.0220567
+0.0222578
+0.0225942
+0.0230877
+0.0237737
+0.0246359
+0.0254287
+0.0263541
+0.0274237
+0.0279685
+0.0283438
+0.0288791
+0.0294603
+0.0301422
+0.0309645
+0.031877
+0.0328768
+0.033951
+0.0351165
+0.0363767
+0.0377069
+0.0389708
+0.0403142
+0.0417294
+0.0432031
+0.047937
+0.0466025
+0.0453346
+0.0441275
+0.0429885
+0.0418343
+0.0407528
+0.0397622
+0.0386874
+0.0377058
+0.036803
+0.0358613
+0.0346698
+0.0333065
+0.0320351
+0.03086
+0.0297835
+0.0288269
+0.0279921
+0.0272902
+0.02673
+0.0263081
+0.0260313
+0.0252074
+0.0244579
+0.0238087
+0.0233221
+0.0228724
+0.0224947
+0.0212983
+0.0197131
+0.0180118
+0.0163606
+0.0148424
+0.0134805
+0.0123163
+0.0113732
+0.0105499
+0.0100595
+0.00980309
+0.00848165
+0.00737578
+0.00672473
+0.00659802
+0.00644298
+0.00665908
+0.00753478
+0.00866862
+0.00996718
+0.0115139
+0.0129995
+0.0146033
+0.0162794
+0.0180346
+0.0198039
+0.0216127
+0.0233627
+0.0251811
+0.0270451
+0.0289549
+0.0302838
+0.0304592
+0.029196
+0.0279149
+0.0266701
+0.0255292
+0.0245131
+0.0236318
+0.0228928
+0.0222813
+0.0216783
+0.0212591
+0.0209084
+0.020743
+0.0207827
+0.0209479
+0.0211563
+0.0215465
+0.0220682
+0.0226894
+0.0234728
+0.0243181
+0.0252845
+0.0263699
+0.0268276
+0.0272247
+0.0276817
+0.0282659
+0.0289342
+0.0297491
+0.0306784
+0.031719
+0.0328116
+0.0339979
+0.0352805
+0.0365375
+0.0378405
+0.0392227
+0.0406759
+0.0421423
+0.0465498
+0.0452492
+0.0439423
+0.0427078
+0.0415365
+0.0403857
+0.0392643
+0.0382356
+0.0372337
+0.0362453
+0.0353266
+0.0344981
+0.0336302
+0.0322229
+0.0309069
+0.029682
+0.0285559
+0.0275561
+0.0266983
+0.0259702
+0.025391
+0.0249796
+0.0246543
+0.0238592
+0.0231279
+0.0224816
+0.0219865
+0.0215778
+0.0212586
+0.0211223
+0.0207076
+0.0190399
+0.0174799
+0.016048
+0.0147617
+0.0136811
+0.012723
+0.0119838
+0.0115354
+0.010958
+0.00964939
+0.00867493
+0.00812387
+0.00769826
+0.00746597
+0.00774002
+0.00828875
+0.00912809
+0.0103601
+0.011563
+0.0130258
+0.0146711
+0.016444
+0.0182316
+0.0200289
+0.0217157
+0.023458
+0.0252695
+0.0271275
+0.0278401
+0.0281411
+0.0285908
+0.0279595
+0.026737
+0.0254813
+0.0243256
+0.0232766
+0.0223934
+0.0216145
+0.02091
+0.0203475
+0.0199577
+0.0197281
+0.0195641
+0.0195401
+0.0196492
+0.0199432
+0.0203253
+0.0208724
+0.0216163
+0.0224378
+0.0233551
+0.024357
+0.0253684
+0.0256919
+0.026098
+0.0265377
+0.0270717
+0.0277687
+0.0286011
+0.0295643
+0.0306081
+0.0317256
+0.0329381
+0.0341862
+0.0354651
+0.036806
+0.0382139
+0.0396687
+0.0411538
+0.0451708
+0.0438579
+0.0425958
+0.0413431
+0.0401483
+0.0389817
+0.0378332
+0.036751
+0.035732
+0.0347841
+0.0338648
+0.033025
+0.0322229
+0.0311999
+0.0298825
+0.0285996
+0.0274263
+0.026383
+0.0254857
+0.0247503
+0.0241566
+0.0237438
+0.0233657
+0.0225731
+0.0218555
+0.0211886
+0.0207142
+0.0202198
+0.0199081
+0.0198051
+0.0198814
+0.0198867
+0.0187763
+0.0174161
+0.0162297
+0.0151855
+0.0142735
+0.0135794
+0.0131573
+0.01223
+0.0110878
+0.0101995
+0.00933136
+0.00888211
+0.00889659
+0.00881818
+0.00919897
+0.0099252
+0.0107954
+0.0119766
+0.0133943
+0.0149992
+0.0167374
+0.018415
+0.0201479
+0.0219617
+0.0237558
+0.0255018
+0.0255389
+0.0256804
+0.0260064
+0.0264866
+0.0268169
+0.0255555
+0.024282
+0.0231458
+0.0221307
+0.0211239
+0.020246
+0.0195404
+0.0189999
+0.018659
+0.018458
+0.0183187
+0.0182405
+0.0183859
+0.0187036
+0.0190597
+0.019642
+0.0204437
+0.0214082
+0.0223311
+0.023368
+0.0242182
+0.0246479
+0.0250255
+0.025412
+0.0259774
+0.0266802
+0.0275366
+0.0285053
+0.0295627
+0.0307031
+0.031839
+0.0330669
+0.0343888
+0.0357961
+0.0372481
+0.0387148
+0.040203
+0.0438579
+0.0425045
+0.041222
+0.0399963
+0.0387736
+0.0375259
+0.0363674
+0.0353017
+0.0342396
+0.033288
+0.0324339
+0.0315707
+0.0307657
+0.0297921
+0.0286888
+0.0276338
+0.0264176
+0.0253328
+0.0243969
+0.0236276
+0.0230378
+0.022616
+0.0221552
+0.0213587
+0.0206506
+0.0199893
+0.0195145
+0.0189577
+0.0186433
+0.018529
+0.0185816
+0.0188581
+0.0188205
+0.0189275
+0.0177979
+0.0167948
+0.0159448
+0.0152993
+0.0149253
+0.0136376
+0.0124031
+0.0114581
+0.0107108
+0.0103747
+0.0102372
+0.010129
+0.0103714
+0.0107981
+0.011603
+0.0127107
+0.0140745
+0.0156276
+0.0171761
+0.0187712
+0.0204626
+0.0221709
+0.0236756
+0.023422
+0.0233718
+0.0235264
+0.0238807
+0.0243977
+0.0250959
+0.024378
+0.0231308
+0.0219901
+0.0208994
+0.0198642
+0.0189553
+0.0182307
+0.0177026
+0.0174033
+0.0172173
+0.0171238
+0.0170563
+0.0171811
+0.0174916
+0.0179192
+0.0185372
+0.0193844
+0.020397
+0.0213531
+0.0222924
+0.0228676
+0.0236052
+0.0239485
+0.0243937
+0.0249509
+0.0256765
+0.0264992
+0.0274701
+0.0285484
+0.0296159
+0.0307804
+0.0320516
+0.0334137
+0.0348479
+0.0361732
+0.0375795
+0.0390582
+0.0426146
+0.0412203
+0.0398977
+0.0386541
+0.0374321
+0.0361443
+0.03494
+0.0338349
+0.0328256
+0.0318318
+0.0309547
+0.030121
+0.0293204
+0.0284364
+0.0272785
+0.0262527
+0.025354
+0.0244338
+0.0234621
+0.0226611
+0.022046
+0.0216169
+0.0210068
+0.0202376
+0.0195282
+0.0189058
+0.0183707
+0.0178616
+0.017517
+0.017353
+0.0174435
+0.0177608
+0.0178467
+0.0180784
+0.018523
+0.0184994
+0.0177059
+0.0171269
+0.0162123
+0.0148693
+0.0137458
+0.0128996
+0.0123146
+0.0118634
+0.0115789
+0.0113787
+0.0115654
+0.011977
+0.0127311
+0.0137568
+0.0149436
+0.0162765
+0.0176359
+0.0190961
+0.0206856
+0.0220383
+0.021544
+0.0212649
+0.0212097
+0.0213799
+0.0217622
+0.0223283
+0.0230891
+0.0232771
+0.0220002
+0.0208712
+0.0197574
+0.0187048
+0.0178092
+0.0170416
+0.0164898
+0.0162029
+0.0159722
+0.015941
+0.0158549
+0.01595
+0.0162853
+0.016899
+0.0175792
+0.0184707
+0.0193449
+0.0202436
+0.0209915
+0.0216185
+0.0223851
+0.0228639
+0.0233258
+0.0239601
+0.0246116
+0.0254356
+0.0264101
+0.0274763
+0.0285601
+0.029766
+0.0310796
+0.0323291
+0.0336255
+0.0349971
+0.0364489
+0.0379198
+0.0414296
+0.040011
+0.038647
+0.0373618
+0.0361637
+0.0348398
+0.0335901
+0.032439
+0.0313988
+0.0304192
+0.0294828
+0.0286667
+0.0279374
+0.0271315
+0.0259573
+0.0248856
+0.0239581
+0.0231753
+0.022527
+0.0218588
+0.021203
+0.0205914
+0.0198834
+0.0191748
+0.0184319
+0.0178498
+0.0173471
+0.0168788
+0.0165248
+0.0163706
+0.0164821
+0.0168043
+0.0169987
+0.0172418
+0.0176791
+0.0183003
+0.0187348
+0.0188494
+0.017537
+0.0163033
+0.0152856
+0.0144385
+0.0136945
+0.0132594
+0.0128758
+0.0126961
+0.0128638
+0.0133499
+0.0140164
+0.0148027
+0.0158339
+0.0169045
+0.0181604
+0.0195815
+0.0207115
+0.0199703
+0.0194255
+0.0191155
+0.019054
+0.0192433
+0.0196595
+0.0202843
+0.021119
+0.0221023
+0.0208901
+0.0196757
+0.018572
+0.0176124
+0.0167042
+0.0160052
+0.0154069
+0.0150021
+0.0148239
+0.0146392
+0.0146692
+0.0148098
+0.0151921
+0.0157956
+0.0165489
+0.0173616
+0.0182308
+0.0192331
+0.0197013
+0.0203578
+0.0211697
+0.0218177
+0.0222873
+0.022881
+0.0235543
+0.0244063
+0.025419
+0.0265165
+0.027638
+0.0287337
+0.0298828
+0.0311322
+0.0324341
+0.0337874
+0.0352204
+0.0367035
+0.0403229
+0.0388706
+0.0374827
+0.0361561
+0.0349167
+0.0336265
+0.0323299
+0.0311323
+0.0300469
+0.0290273
+0.0280704
+0.0272321
+0.0265385
+0.0257329
+0.0246636
+0.0235671
+0.022622
+0.0218186
+0.0211718
+0.0206961
+0.0199209
+0.0192039
+0.018695
+0.0179655
+0.0171945
+0.0166527
+0.0162654
+0.0159039
+0.0155888
+0.0155272
+0.015704
+0.016085
+0.0161701
+0.0163758
+0.0168591
+0.0175579
+0.017883
+0.0181066
+0.0184342
+0.0178584
+0.0168035
+0.015886
+0.0151958
+0.0145839
+0.0142851
+0.0141921
+0.0143673
+0.0147952
+0.0152877
+0.0158367
+0.0166486
+0.0176892
+0.0189244
+0.0197792
+0.0187474
+0.0179252
+0.0173249
+0.0169766
+0.0169073
+0.0171204
+0.0175784
+0.0182745
+0.0191865
+0.0201817
+0.0197655
+0.0185006
+0.0174204
+0.0164619
+0.0155987
+0.0148484
+0.0142503
+0.0138342
+0.0135886
+0.0134484
+0.0134705
+0.0135808
+0.0139774
+0.0146816
+0.0154966
+0.0162274
+0.0171506
+0.0180787
+0.018576
+0.0192447
+0.0201016
+0.0207825
+0.0212026
+0.0217924
+0.0225024
+0.0233928
+0.0244476
+0.0255135
+0.026486
+0.0275408
+0.0286672
+0.0298733
+0.0311828
+0.0325572
+0.0339224
+0.0353663
+0.0393073
+0.037816
+0.0363955
+0.0350461
+0.0337659
+0.0325019
+0.031173
+0.0299291
+0.0287984
+0.0277387
+0.0267358
+0.0258797
+0.0251531
+0.0243762
+0.02325
+0.0222471
+0.021342
+0.0205334
+0.019889
+0.019449
+0.0186462
+0.0179069
+0.0174125
+0.0167588
+0.0160775
+0.0154954
+0.0149868
+0.0147679
+0.0148111
+0.0147517
+0.0149596
+0.0152669
+0.0153094
+0.0155836
+0.0161484
+0.016929
+0.0172179
+0.0174548
+0.0177122
+0.0176347
+0.0176838
+0.0174536
+0.0166375
+0.0160805
+0.0158101
+0.0158251
+0.0159736
+0.0161901
+0.0164197
+0.0169321
+0.0176985
+0.0186807
+0.0193045
+0.017981
+0.0168394
+0.015919
+0.0152497
+0.0148529
+0.0147736
+0.015017
+0.0155273
+0.0163112
+0.0172195
+0.0183219
+0.0187111
+0.0174485
+0.016273
+0.0152406
+0.0143445
+0.0136996
+0.0131549
+0.0126835
+0.0123996
+0.0121973
+0.0122336
+0.0123565
+0.0128097
+0.0135779
+0.0143119
+0.0152146
+0.0161816
+0.0170984
+0.0176234
+0.0183269
+0.0192072
+0.0196869
+0.0201299
+0.0207954
+0.0215625
+0.0224901
+0.0235637
+0.0243791
+0.0252695
+0.0262787
+0.0273766
+0.0285755
+0.0298664
+0.0311852
+0.0325981
+0.0340932
+0.03839
+0.0368615
+0.0354028
+0.0340226
+0.0327215
+0.0314748
+0.0301159
+0.0288424
+0.0276672
+0.0265643
+0.0255197
+0.0246215
+0.0238372
+0.0230479
+0.0219604
+0.0208957
+0.020015
+0.0192948
+0.0186977
+0.0182506
+0.0174062
+0.0166919
+0.0161337
+0.0155845
+0.0151493
+0.0144012
+0.0138286
+0.013589
+0.0136967
+0.0139088
+0.0143454
+0.0143428
+0.0145049
+0.0149333
+0.0155232
+0.0163645
+0.0166414
+0.0168203
+0.0166666
+0.0165882
+0.0167123
+0.0168924
+0.0172735
+0.0177221
+0.0174771
+0.0174469
+0.0174838
+0.0175325
+0.0177448
+0.0182199
+0.018938
+0.018537
+0.0177169
+0.0162793
+0.0150088
+0.0139682
+0.0132119
+0.0127518
+0.0126594
+0.0129397
+0.0135202
+0.0143148
+0.0153133
+0.0165432
+0.0177957
+0.0164805
+0.0152319
+0.0141836
+0.0132698
+0.0125863
+0.0120201
+0.0115869
+0.0112786
+0.0110185
+0.0110021
+0.0111386
+0.0116618
+0.0123719
+0.0131806
+0.0141124
+0.0151303
+0.0162782
+0.0168527
+0.0175116
+0.0183988
+0.018658
+0.0191248
+0.0198241
+0.0206939
+0.0216761
+0.0222794
+0.0229933
+0.023855
+0.0248392
+0.0259705
+0.0272231
+0.0285162
+0.0298947
+0.0313657
+0.032902
+0.0375744
+0.0360152
+0.0345207
+0.0331037
+0.0317748
+0.0305346
+0.0291695
+0.0278619
+0.026643
+0.0255184
+0.0244359
+0.0235004
+0.0226127
+0.0215337
+0.0205685
+0.0196877
+0.0187487
+0.0179818
+0.0174543
+0.0169982
+0.0160595
+0.0153518
+0.0147855
+0.0144604
+0.0140279
+0.0134913
+0.0128874
+0.01263
+0.0127122
+0.0130582
+0.0132667
+0.0132505
+0.0134757
+0.0139967
+0.0146874
+0.0155365
+0.0158276
+0.0158498
+0.0156951
+0.0155467
+0.0157055
+0.0159172
+0.0163212
+0.017
+0.0175982
+0.0183988
+0.0190883
+0.019033
+0.0186991
+0.0176893
+0.0169045
+0.0163772
+0.0160528
+0.0146943
+0.0132876
+0.0120999
+0.0112184
+0.0106867
+0.0105763
+0.0108964
+0.0115114
+0.012349
+0.0134937
+0.0148749
+0.0164278
+0.0156345
+0.0143382
+0.0132442
+0.0123027
+0.0114528
+0.0108519
+0.0103988
+0.0101111
+0.0100275
+0.00988421
+0.0100654
+0.0106365
+0.0113023
+0.0121073
+0.0131716
+0.0142348
+0.01531
+0.0161803
+0.0168668
+0.0175184
+0.0177844
+0.0182366
+0.0189196
+0.0198154
+0.0203177
+0.0208591
+0.0215732
+0.022443
+0.0234856
+0.0246714
+0.0259415
+0.0272742
+0.0286981
+0.0301968
+0.0317759
+0.0368494
+0.0352657
+0.0337378
+0.0322863
+0.0309221
+0.029657
+0.0283611
+0.0270123
+0.0257532
+0.0245644
+0.0234656
+0.0224465
+0.0212257
+0.0200566
+0.0190166
+0.0181698
+0.0174819
+0.0168415
+0.016277
+0.0158277
+0.0148671
+0.014094
+0.0135598
+0.0131979
+0.0129402
+0.0127126
+0.0122167
+0.0119449
+0.0120498
+0.0124143
+0.0124685
+0.0123794
+0.0126119
+0.0131512
+0.0139034
+0.0148082
+0.0150489
+0.0148926
+0.014696
+0.0145599
+0.0147293
+0.0150132
+0.0155009
+0.0161006
+0.0167718
+0.0176519
+0.0181385
+0.0180222
+0.0168393
+0.0157194
+0.0148308
+0.0142268
+0.0138855
+0.0132679
+0.0117112
+0.0103586
+0.00931384
+0.00868287
+0.00854661
+0.00887304
+0.00947085
+0.0104729
+0.011801
+0.0133496
+0.0145827
+0.0149446
+0.0136329
+0.0124352
+0.011407
+0.0104372
+0.00976165
+0.0092407
+0.00902447
+0.00889685
+0.00880117
+0.00899177
+0.00954728
+0.0102864
+0.0111624
+0.0121432
+0.0133383
+0.0144566
+0.0152902
+0.0161421
+0.0165194
+0.0167176
+0.0171549
+0.0177066
+0.0184829
+0.0189724
+0.0195118
+0.0202383
+0.0211631
+0.0222564
+0.0234303
+0.0247093
+0.0261049
+0.0275744
+0.0291309
+0.0307647
+0.0362359
+0.0346311
+0.0330739
+0.0315919
+0.0301962
+0.0288994
+0.0277025
+0.0263181
+0.0250241
+0.0237617
+0.0226031
+0.0213045
+0.0199095
+0.0186632
+0.017584
+0.0166803
+0.0159787
+0.0154795
+0.0151613
+0.0147436
+0.0138254
+0.0130383
+0.0124756
+0.0120535
+0.0119724
+0.0119114
+0.0118438
+0.0115631
+0.0116807
+0.012126
+0.0119182
+0.0117726
+0.0119979
+0.0125149
+0.0132815
+0.0138459
+0.014242
+0.0139385
+0.0138519
+0.01371
+0.0138898
+0.0142561
+0.0147317
+0.0153557
+0.0160178
+0.0166727
+0.0171797
+0.0162407
+0.0149991
+0.0138162
+0.0127961
+0.0120909
+0.0117254
+0.0115567
+0.0103376
+0.008808
+0.0075657
+0.00677381
+0.00659825
+0.00675551
+0.0075152
+0.00874429
+0.0102833
+0.0119987
+0.0124809
+0.0131104
+0.0130414
+0.0118417
+0.0107188
+0.00968209
+0.00891373
+0.00834786
+0.00806901
+0.00793012
+0.00794339
+0.00814421
+0.0087579
+0.00936235
+0.0101876
+0.0111705
+0.0124649
+0.0136825
+0.0144763
+0.0152486
+0.0153635
+0.0155037
+0.0158819
+0.0164374
+0.0172518
+0.0177367
+0.0182944
+0.0190503
+0.0199788
+0.0210566
+0.0222558
+0.0235932
+0.0250388
+0.026572
+0.0281839
+0.0298696
+0.0356561
+0.0341031
+0.0325441
+0.0310368
+0.0296151
+0.0282916
+0.0270809
+0.0257635
+0.02445
+0.0231393
+0.0217293
+0.0201794
+0.0187245
+0.0173935
+0.0162495
+0.0152793
+0.0145691
+0.0140883
+0.0138466
+0.0137677
+0.0128571
+0.0121651
+0.0115313
+0.0111438
+0.011063
+0.0113499
+0.0115761
+0.0115853
+0.0117026
+0.012131
+0.0116706
+0.0115213
+0.0116934
+0.0121946
+0.0129789
+0.0131407
+0.0134433
+0.013105
+0.0129828
+0.0130132
+0.0132395
+0.0135773
+0.0141147
+0.0147562
+0.0153637
+0.0158322
+0.0161228
+0.0145711
+0.0131731
+0.0119815
+0.0108224
+0.00997872
+0.00957198
+0.00937025
+0.00927858
+0.00754265
+0.0060996
+0.00508363
+0.00450926
+0.00469217
+0.00573217
+0.00724416
+0.00900561
+0.0100742
+0.0104141
+0.0111253
+0.0121691
+0.0114653
+0.010329
+0.00926686
+0.00840546
+0.0078048
+0.00748758
+0.00725349
+0.00731449
+0.0074561
+0.0078842
+0.00855449
+0.00941529
+0.0104735
+0.0116239
+0.0128954
+0.0135456
+0.0142595
+0.0141871
+0.0143388
+0.014726
+0.0153205
+0.0161569
+0.0166874
+0.0171905
+0.0179389
+0.0188729
+0.0199739
+0.0212293
+0.0226111
+0.0241048
+0.0256987
+0.0273751
+0.0291096
+0.0348689
+0.0336604
+0.0321278
+0.0306288
+0.0291871
+0.0278433
+0.0266123
+0.0253804
+0.0240459
+0.0224771
+0.0208013
+0.0192107
+0.0176916
+0.016286
+0.0150549
+0.014037
+0.0132612
+0.0128171
+0.0126389
+0.0127062
+0.0120804
+0.0114532
+0.0109064
+0.0105218
+0.0104987
+0.0108313
+0.011483
+0.0119462
+0.0120865
+0.0123168
+0.011785
+0.0115444
+0.0116494
+0.0121124
+0.0120857
+0.0123822
+0.0127397
+0.0123823
+0.012233
+0.0122667
+0.0125613
+0.013018
+0.0136388
+0.0143154
+0.0147839
+0.0152535
+0.0147359
+0.0130529
+0.0114755
+0.0101241
+0.00894999
+0.00790944
+0.00738967
+0.00718551
+0.00755927
+0.00670183
+0.00502139
+0.00348974
+0.00247378
+0.00282742
+0.00429015
+0.00610293
+0.00760789
+0.00795832
+0.00838166
+0.0092207
+0.0103356
+0.0114294
+0.0102792
+0.00921128
+0.00831286
+0.00768192
+0.00723727
+0.00697992
+0.00687467
+0.00683016
+0.00711748
+0.00775332
+0.00854427
+0.00964153
+0.0108344
+0.01201
+0.0125825
+0.0132465
+0.0132592
+0.0134327
+0.0137867
+0.0144119
+0.0152942
+0.0156942
+0.0162042
+0.0169517
+0.0179033
+0.0190435
+0.0203563
+0.0217936
+0.0233397
+0.0249824
+0.0267038
+0.0284793
+0.0337767
+0.0327452
+0.0318313
+0.0303409
+0.028917
+0.0275624
+0.0263182
+0.0247667
+0.023011
+0.0213161
+0.0197123
+0.018231
+0.0167708
+0.0153296
+0.0140409
+0.0129653
+0.0121355
+0.0116486
+0.0114931
+0.0117052
+0.0113302
+0.010826
+0.0104562
+0.0102462
+0.0103052
+0.0106857
+0.011414
+0.0122707
+0.0128037
+0.0128147
+0.0122047
+0.0119077
+0.0114976
+0.0111228
+0.0110549
+0.0113711
+0.0119658
+0.0117648
+0.0118127
+0.0117737
+0.0121343
+0.0126578
+0.0132991
+0.0140288
+0.0145046
+0.0149222
+0.0135279
+0.0116752
+0.00996017
+0.00838165
+0.00711769
+0.00592805
+0.00521437
+0.00500596
+0.00551717
+0.00519386
+0.00450228
+0.00251575
+0.000891947
+0.00165085
+0.00345492
+0.00469066
+0.00575349
+0.00589731
+0.00641496
+0.00732221
+0.00857912
+0.00993675
+0.0106275
+0.00956876
+0.0087073
+0.00808741
+0.00752401
+0.00717974
+0.00677687
+0.00658071
+0.00673763
+0.00720909
+0.00796032
+0.00904005
+0.0103014
+0.0110606
+0.0118561
+0.0125138
+0.0125158
+0.012704
+0.0131398
+0.0137836
+0.0146862
+0.0149179
+0.0154185
+0.0161646
+0.0171413
+0.018329
+0.0196895
+0.0211721
+0.0227548
+0.0244244
+0.026171
+0.0279792
+0.0327947
+0.0317313
+0.0307873
+0.0299432
+0.0287775
+0.0274474
+0.0257031
+0.0238615
+0.0220547
+0.0203007
+0.0186363
+0.0170624
+0.0156371
+0.0143508
+0.0132483
+0.0121085
+0.0112451
+0.0107179
+0.0105268
+0.0107105
+0.0107541
+0.0104467
+0.010302
+0.0102435
+0.0104912
+0.0109252
+0.011688
+0.0127146
+0.0137286
+0.0134932
+0.0125987
+0.011616
+0.0108142
+0.0103479
+0.0103046
+0.0106297
+0.0112653
+0.0113331
+0.0114661
+0.0116314
+0.0119692
+0.0125367
+0.0131859
+0.013951
+0.014479
+0.0144261
+0.0124629
+0.0105719
+0.00864115
+0.00686817
+0.00529283
+0.00406646
+0.0030611
+0.00284361
+0.00347902
+0.00331199
+0.00267259
+0.00219145
+0.000541308
+0.0012809
+0.00204042
+0.00277069
+0.00372094
+0.00397514
+0.00442428
+0.00553201
+0.00700499
+0.00856126
+0.0101778
+0.0103473
+0.00950535
+0.00887369
+0.00831934
+0.00778643
+0.00714844
+0.00675871
+0.006659
+0.00706242
+0.00765585
+0.00852843
+0.00975057
+0.0102434
+0.0110569
+0.0120214
+0.0120846
+0.0123172
+0.0128387
+0.0134669
+0.0142024
+0.0143978
+0.0148747
+0.0156265
+0.0166348
+0.0178563
+0.0192371
+0.0207278
+0.0223342
+0.0240331
+0.0258062
+0.0276382
+0.0318237
+0.030787
+0.0298465
+0.0289901
+0.0282362
+0.0268554
+0.0249296
+0.0230385
+0.0212019
+0.0194315
+0.0177181
+0.0160885
+0.0145903
+0.0132615
+0.0121297
+0.0112764
+0.0106761
+0.010027
+0.00978058
+0.009978
+0.0103359
+0.0102591
+0.0103612
+0.0105831
+0.0109367
+0.0115214
+0.0123037
+0.0133125
+0.0144134
+0.0130674
+0.0118933
+0.010951
+0.0101657
+0.00974454
+0.00971856
+0.0101687
+0.0108754
+0.0111048
+0.0113403
+0.0118422
+0.0121729
+0.0127487
+0.013376
+0.0141107
+0.0146438
+0.0136971
+0.0116113
+0.00957255
+0.00761858
+0.00567674
+0.00378497
+0.00222984
+0.00104681
+0.000771964
+0.00144126
+0.00186149
+0.00070302
+0.000796938
+-0.000255882
+-2.95501e-05
+0.000318091
+0.00129691
+0.0016414
+0.00192884
+0.00248867
+0.00398412
+0.00566508
+0.00728753
+0.00904103
+0.0108688
+0.010682
+0.0100203
+0.00949256
+0.00871297
+0.00796073
+0.00734697
+0.00695326
+0.00684908
+0.00729431
+0.00811775
+0.00871256
+0.00918929
+0.0100217
+0.0110832
+0.0120042
+0.0123081
+0.0128556
+0.0134671
+0.0139494
+0.0141372
+0.0146012
+0.0153664
+0.0163907
+0.0176273
+0.0189921
+0.0205007
+0.0221236
+0.0238375
+0.0256241
+0.0274496
+0.030852
+0.0299009
+0.0289642
+0.0281162
+0.0273811
+0.0262377
+0.0242861
+0.0223618
+0.0204824
+0.0186665
+0.0169228
+0.0152664
+0.0137237
+0.0123406
+0.0111763
+0.0102447
+0.0096091
+0.00939023
+0.00940569
+0.00961082
+0.0100737
+0.010297
+0.010637
+0.0110968
+0.0116739
+0.012321
+0.0132047
+0.0141984
+0.0141114
+0.0127428
+0.0115459
+0.0105515
+0.00982949
+0.00939826
+0.00940345
+0.0098674
+0.0106853
+0.0112812
+0.0115131
+0.0120847
+0.0127047
+0.0132462
+0.0138617
+0.014572
+0.0151261
+0.0132931
+0.0111319
+0.00898498
+0.00686579
+0.00479923
+0.00282319
+0.000792627
+-0.000740609
+-0.0011782
+-0.000637502
+-0.000295596
+-0.000511353
+-0.00124053
+-0.00196314
+-0.00208946
+-0.00111914
+-0.000441135
+-0.00039398
+-0.000127353
+0.00106749
+0.00261263
+0.00438083
+0.00605414
+0.00796524
+0.00999177
+0.0120758
+0.0114424
+0.0108772
+0.00992113
+0.00901642
+0.00792231
+0.00718543
+0.00693637
+0.0072619
+0.00793498
+0.00798934
+0.00850395
+0.00933641
+0.0104608
+0.0118671
+0.0126155
+0.0131877
+0.0137846
+0.0140128
+0.0141455
+0.0146092
+0.015374
+0.0163979
+0.0176261
+0.0189939
+0.020505
+0.0221288
+0.0238026
+0.0255151
+0.0272793
+0.0298392
+0.0288653
+0.0280236
+0.0273196
+0.026635
+0.0257428
+0.0237581
+0.0218052
+0.0199013
+0.0180625
+0.0162754
+0.0145749
+0.0130216
+0.0116274
+0.0104615
+0.00952138
+0.00887456
+0.00865398
+0.00891411
+0.00941776
+0.00999963
+0.0105012
+0.0111412
+0.0117891
+0.0125306
+0.0133464
+0.0142487
+0.0153083
+0.0139215
+0.0125771
+0.0114739
+0.0105143
+0.00981209
+0.0094854
+0.0095305
+0.009916
+0.0106868
+0.0116539
+0.0120872
+0.0126481
+0.0134762
+0.01405
+0.014662
+0.0153073
+0.0154203
+0.0132439
+0.0110731
+0.00891204
+0.00677005
+0.00466123
+0.00255296
+0.000367168
+-0.00161241
+-0.0032807
+-0.00277876
+-0.00242503
+-0.00233922
+-0.00338961
+-0.00393879
+-0.00420793
+-0.00296108
+-0.00255869
+-0.00240916
+-0.00174172
+-0.000299693
+0.0015621
+0.00321703
+0.00524944
+0.00736613
+0.00936896
+0.011196
+0.0128533
+0.0122648
+0.0110822
+0.00969396
+0.00853929
+0.00778373
+0.00747183
+0.00745808
+0.00744373
+0.00744521
+0.00790355
+0.00885394
+0.0101245
+0.0116539
+0.0132695
+0.0138624
+0.0144313
+0.0143594
+0.0144889
+0.0149419
+0.0156905
+0.0166784
+0.0178388
+0.0191525
+0.0206087
+0.0221375
+0.0237512
+0.0254325
+0.0271778
+0.0288285
+0.0278801
+0.0270341
+0.0263327
+0.0257838
+0.0253419
+0.0233846
+0.0214076
+0.0194763
+0.0176059
+0.0158137
+0.0141233
+0.0125472
+0.0111429
+0.0099877
+0.00905727
+0.00847763
+0.00836252
+0.00865001
+0.00929261
+0.0102183
+0.0109521
+0.0117082
+0.0126436
+0.0134872
+0.0144777
+0.0154483
+0.0149725
+0.013446
+0.0121009
+0.0109675
+0.0101031
+0.00958955
+0.00942289
+0.00968059
+0.0102237
+0.0109913
+0.012088
+0.0129893
+0.0135148
+0.0143123
+0.0151162
+0.0157042
+0.016295
+0.0155327
+0.0133782
+0.0112377
+0.00912102
+0.00704918
+0.00494596
+0.00275803
+0.000582703
+-0.00134255
+-0.00327736
+-0.004941
+-0.00452098
+-0.00438975
+-0.00508656
+-0.00603206
+-0.00590904
+-0.00507693
+-0.0046911
+-0.00448395
+-0.0029938
+-0.000988935
+0.000741881
+0.00250768
+0.00459412
+0.00633649
+0.00813978
+0.00982425
+0.011397
+0.0127417
+0.0119343
+0.0105849
+0.00953566
+0.00856628
+0.00792298
+0.00761511
+0.00715124
+0.00720977
+0.00766543
+0.0086093
+0.00990576
+0.0114071
+0.0130399
+0.0147414
+0.0151987
+0.0150046
+0.0151285
+0.0155575
+0.0161813
+0.0170399
+0.0180689
+0.0192557
+0.0206078
+0.0220948
+0.0236912
+0.0253602
+0.0270846
+0.0279461
+0.0269744
+0.0261416
+0.025423
+0.0248696
+0.024488
+0.0231734
+0.0211829
+0.0192359
+0.0173471
+0.0155378
+0.0138336
+0.0122622
+0.0109065
+0.00978727
+0.00891117
+0.0084122
+0.00837309
+0.00880185
+0.00949114
+0.0104813
+0.0116194
+0.0125383
+0.013506
+0.0146557
+0.0156213
+0.0164323
+0.0147323
+0.0131779
+0.0118268
+0.0106839
+0.00984303
+0.00939068
+0.00929007
+0.00960866
+0.0102986
+0.0113019
+0.0125705
+0.0137991
+0.0146304
+0.0154135
+0.0163911
+0.0169538
+0.0175025
+0.015854
+0.0136742
+0.0114888
+0.00930593
+0.00712781
+0.00496077
+0.00283039
+0.000944686
+-0.000764596
+-0.00290225
+-0.00506774
+-0.0066354
+-0.00652471
+-0.00701386
+-0.00807944
+-0.00784361
+-0.0072367
+-0.00685658
+-0.00591241
+-0.00382259
+-0.00182871
+-0.000190633
+0.00160858
+0.00341732
+0.00513399
+0.00685367
+0.00836111
+0.00977875
+0.0111498
+0.0127272
+0.011589
+0.0103181
+0.00928297
+0.00848441
+0.00770478
+0.00724665
+0.00736848
+0.00791728
+0.00878647
+0.00998759
+0.0114529
+0.0130522
+0.0147726
+0.0160678
+0.0158321
+0.0157739
+0.016018
+0.0165358
+0.0172782
+0.0182548
+0.0194303
+0.020771
+0.0222005
+0.0237117
+0.0253146
+0.0269856
+0.0271089
+0.0261348
+0.0252757
+0.0245824
+0.0240537
+0.023656
+0.0231528
+0.0211601
+0.0192106
+0.0173188
+0.0155059
+0.0138031
+0.0122562
+0.0109146
+0.00986501
+0.00910405
+0.00866266
+0.00874294
+0.0092103
+0.0100755
+0.0110747
+0.0123022
+0.0134981
+0.0146028
+0.0157144
+0.0169608
+0.0163632
+0.014687
+0.0131273
+0.0117704
+0.0106915
+0.00989262
+0.00954028
+0.00952725
+0.00989982
+0.0106066
+0.0115915
+0.012876
+0.014335
+0.0158262
+0.0166905
+0.0176421
+0.0183782
+0.0177704
+0.0157847
+0.0138236
+0.011726
+0.00966973
+0.00760745
+0.00562822
+0.00363423
+0.00154299
+-0.000575282
+-0.00267157
+-0.0047289
+-0.00679476
+-0.00868746
+-0.00906059
+-0.00991539
+-0.00988565
+-0.00936953
+-0.00834315
+-0.00631259
+-0.00435724
+-0.00255188
+-0.000912547
+0.00079852
+0.00232117
+0.00401231
+0.00539251
+0.00687564
+0.00821079
+0.00979198
+0.0115563
+0.0125165
+0.0111246
+0.00958244
+0.00833595
+0.0074668
+0.00708293
+0.00722879
+0.00789954
+0.00897956
+0.0103443
+0.0117961
+0.0133666
+0.0150636
+0.016716
+0.0163704
+0.0163141
+0.0165503
+0.0170171
+0.0176344
+0.0184921
+0.0195587
+0.020802
+0.0221917
+0.0236718
+0.0252196
+0.0268494
+0.0263792
+0.0254127
+0.0245672
+0.0238533
+0.023324
+0.0229542
+0.0227466
+0.0213293
+0.0194018
+0.0175306
+0.0157422
+0.014062
+0.0125301
+0.011219
+0.0102068
+0.00952477
+0.00918646
+0.00929703
+0.00983765
+0.0107486
+0.0119485
+0.0131371
+0.0144978
+0.0157439
+0.0169629
+0.0181731
+0.0165313
+0.0148801
+0.0133498
+0.012018
+0.010961
+0.0102018
+0.00986028
+0.00996926
+0.0103862
+0.0111306
+0.0121398
+0.013388
+0.0148522
+0.0164346
+0.018142
+0.019034
+0.0190485
+0.0169987
+0.0149374
+0.0128877
+0.0108932
+0.00899032
+0.00721717
+0.0056168
+0.00395632
+0.00185934
+-0.00015268
+-0.00212165
+-0.00421722
+-0.00636831
+-0.0085242
+-0.0106901
+-0.0118665
+-0.0119803
+-0.0107195
+-0.00868519
+-0.00674949
+-0.00496025
+-0.00314231
+-0.00145142
+-0.000333936
+0.00118661
+0.00262606
+0.00400294
+0.00540747
+0.0069863
+0.00876885
+0.010472
+0.0121534
+0.0110245
+0.0095316
+0.00827746
+0.00739181
+0.00700628
+0.00714658
+0.00776663
+0.00881162
+0.0101793
+0.0117782
+0.0135281
+0.0153595
+0.0172748
+0.0170947
+0.0168772
+0.016942
+0.0172865
+0.0178944
+0.018724
+0.0197059
+0.0208517
+0.0221555
+0.023591
+0.0250876
+0.0266559
+0.0257566
+0.0247659
+0.0239249
+0.0232328
+0.0226891
+0.0223363
+0.0221729
+0.021681
+0.0197921
+0.0179686
+0.0162235
+0.0145823
+0.013101
+0.0118417
+0.0108819
+0.0102326
+0.00997723
+0.0101397
+0.0106829
+0.0116076
+0.012792
+0.0141891
+0.0154986
+0.0169179
+0.01824
+0.0186562
+0.0169069
+0.0152717
+0.0137793
+0.0124865
+0.0114634
+0.0107701
+0.0104474
+0.0105486
+0.0110322
+0.0118387
+0.0128985
+0.0141302
+0.0155281
+0.0170799
+0.0187481
+0.0205016
+0.0185038
+0.0163852
+0.0142884
+0.0122246
+0.0101108
+0.00802455
+0.00601303
+0.00417923
+0.00252442
+0.00101053
+-0.000514321
+-0.00236295
+-0.00442159
+-0.00655955
+-0.00868256
+-0.0108322
+-0.0129955
+-0.0130871
+-0.0113838
+-0.00951626
+-0.00775194
+-0.00593587
+-0.00402749
+-0.00242763
+-0.000790117
+0.000534037
+0.00174758
+0.00312988
+0.00445073
+0.00618684
+0.00773371
+0.00929179
+0.0110588
+0.0110596
+0.00964834
+0.00843893
+0.0076295
+0.00729472
+0.00739754
+0.0079712
+0.00901071
+0.0103522
+0.0119447
+0.0136883
+0.0155054
+0.0174048
+0.0176199
+0.0173552
+0.0173649
+0.0176205
+0.0181152
+0.018853
+0.0198068
+0.0209471
+0.0221478
+0.0234678
+0.0249082
+0.0262302
+0.025224
+0.0242386
+0.0233986
+0.0227296
+0.0222161
+0.0218674
+0.0217322
+0.0217621
+0.0203616
+0.018594
+0.016915
+0.0153464
+0.0139464
+0.0127708
+0.0118862
+0.0112792
+0.0110691
+0.0112157
+0.0117609
+0.0126278
+0.0137721
+0.0151051
+0.0166046
+0.0180199
+0.0195056
+0.0191828
+0.0174758
+0.0158878
+0.0144582
+0.0132313
+0.0122706
+0.0116258
+0.0113275
+0.0114483
+0.0118721
+0.0126496
+0.0137107
+0.0149528
+0.0163451
+0.0178569
+0.0194815
+0.0202159
+0.0180838
+0.0159675
+0.0138744
+0.0117435
+0.00963277
+0.00752827
+0.00537365
+0.00326069
+0.00118165
+-0.000569091
+-0.00207324
+-0.00360385
+-0.00531762
+-0.00724734
+-0.009047
+-0.010777
+-0.0122181
+-0.0135974
+-0.012194
+-0.0106111
+-0.00879941
+-0.00698696
+-0.00531592
+-0.00361213
+-0.00205205
+-0.000699303
+0.000624771
+0.00197008
+0.003453
+0.00490637
+0.00644422
+0.00807055
+0.00962933
+0.011226
+0.00984068
+0.00873642
+0.00797339
+0.0077005
+0.00790811
+0.00853094
+0.00953974
+0.0109011
+0.0124264
+0.0140975
+0.0158914
+0.0177745
+0.0180966
+0.0177979
+0.0177551
+0.0179812
+0.0184641
+0.0190557
+0.0198596
+0.0208635
+0.02204
+0.0232701
+0.024382
+0.0256331
+0.0248256
+0.0238541
+0.0230181
+0.0223378
+0.0218568
+0.0215424
+0.021408
+0.0214972
+0.0211438
+0.0194388
+0.017823
+0.0163417
+0.0150343
+0.0139477
+0.0131263
+0.0125789
+0.0123999
+0.0125662
+0.0130675
+0.0138613
+0.0149361
+0.0162267
+0.0176569
+0.0192103
+0.020683
+0.0198548
+0.018211
+0.0166933
+0.0153308
+0.0141535
+0.0132366
+0.0126369
+0.0123664
+0.0124771
+0.0129091
+0.0136402
+0.014625
+0.0158532
+0.017231
+0.0187531
+0.0203113
+0.019949
+0.0178219
+0.015679
+0.0135513
+0.0114392
+0.00935888
+0.00734305
+0.00519705
+0.00304091
+0.000973974
+-0.000916654
+-0.00227766
+-0.00321522
+-0.0046003
+-0.00634191
+-0.0078745
+-0.00928911
+-0.010638
+-0.0116999
+-0.0117767
+-0.0115043
+-0.0100305
+-0.00832992
+-0.00663224
+-0.00504035
+-0.00370159
+-0.0022202
+-0.000907865
+0.000406798
+0.00181732
+0.00342928
+0.00507278
+0.00659259
+0.00837366
+0.0101605
+0.0102615
+0.00920492
+0.0085042
+0.00827274
+0.00854635
+0.00923686
+0.0102668
+0.0115501
+0.0130585
+0.0147259
+0.0164813
+0.018314
+0.0186872
+0.0183046
+0.0181611
+0.0182769
+0.0186046
+0.0191785
+0.0199775
+0.0209757
+0.0218342
+0.0228062
+0.0239397
+0.0252127
+0.0245873
+0.023606
+0.0227936
+0.0221226
+0.0216368
+0.0213538
+0.0212238
+0.0213137
+0.0216263
+0.0204476
+0.0189181
+0.0175296
+0.0163167
+0.0153213
+0.0145763
+0.0140854
+0.0139257
+0.014097
+0.0145462
+0.0152989
+0.0162834
+0.0174795
+0.0188398
+0.0203418
+0.0219418
+0.0206199
+0.0190421
+0.017596
+0.0163083
+0.0152068
+0.0143573
+0.013801
+0.0135507
+0.0136518
+0.014056
+0.014765
+0.0157344
+0.0168828
+0.0182097
+0.0196675
+0.021225
+0.0198397
+0.0177264
+0.0156343
+0.013528
+0.0114115
+0.00932501
+0.00729983
+0.00538608
+0.00347711
+0.00171314
+0.000287307
+-0.000732309
+-0.0019816
+-0.00390534
+-0.0050891
+-0.0064384
+-0.00775659
+-0.00888583
+-0.00967219
+-0.00997825
+-0.009686
+-0.00958641
+-0.00886883
+-0.00808449
+-0.00675389
+-0.00524557
+-0.00384158
+-0.00258452
+-0.00125837
+0.000509267
+0.00212614
+0.00360123
+0.00546264
+0.00725394
+0.00918704
+0.0109185
+0.00995592
+0.00937628
+0.00917677
+0.00942417
+0.0100814
+0.0111166
+0.0123823
+0.0138782
+0.0154898
+0.0172127
+0.0190211
+0.0191192
+0.0187273
+0.0185489
+0.0186164
+0.0188639
+0.0193177
+0.0199727
+0.0206685
+0.0215136
+0.0225407
+0.0236925
+0.0249781
+0.024543
+0.0235598
+0.0227458
+0.0220733
+0.0215864
+0.0213146
+0.0212478
+0.0213376
+0.0216499
+0.0216319
+0.0201924
+0.0188976
+0.0177775
+0.0168685
+0.0161702
+0.0157291
+0.0155863
+0.0157498
+0.0161678
+0.0168482
+0.017759
+0.0188741
+0.0201405
+0.0215556
+0.0230921
+0.0215575
+0.0200531
+0.0186754
+0.0174646
+0.0164575
+0.0156914
+0.0151583
+0.0149307
+0.0150226
+0.0154282
+0.0160757
+0.0169757
+0.0180959
+0.0193525
+0.0207355
+0.0220464
+0.0199376
+0.0178485
+0.015787
+0.0137621
+0.0117383
+0.00972243
+0.00779932
+0.00600861
+0.00430642
+0.00268283
+0.00166709
+0.000391118
+-0.00130144
+-0.00254214
+-0.00376994
+-0.00494934
+-0.00607847
+-0.00683485
+-0.0077337
+-0.00816072
+-0.00783134
+-0.00771921
+-0.00779149
+-0.0076504
+-0.00671358
+-0.0059181
+-0.00515567
+-0.00393162
+-0.00239287
+-0.000704353
+0.000841864
+0.00269345
+0.00445675
+0.00631051
+0.00810414
+0.00984117
+0.0109881
+0.0104357
+0.0102842
+0.0105539
+0.0112068
+0.0121556
+0.0133835
+0.0148005
+0.0163689
+0.0180533
+0.0198246
+0.0196114
+0.0191328
+0.0188618
+0.0188119
+0.0189672
+0.0192116
+0.0196355
+0.020288
+0.0211255
+0.0221286
+0.0232822
+0.0245587
+0.024649
+0.0236904
+0.0229002
+0.0222408
+0.0217576
+0.021488
+0.0214221
+0.0215112
+0.021821
+0.0223423
+0.021614
+0.0204092
+0.0193641
+0.0185091
+0.017883
+0.0174931
+0.0173648
+0.0175118
+0.0178991
+0.018516
+0.0193594
+0.0203887
+0.021584
+0.0229101
+0.0242006
+0.0226572
+0.0212224
+0.0199257
+0.0187956
+0.0178638
+0.0171544
+0.0166682
+0.0164615
+0.0165448
+0.0169139
+0.0175125
+0.0183421
+0.019385
+0.0206087
+0.0219562
+0.0223098
+0.0202281
+0.0181721
+0.0161515
+0.0141816
+0.0122653
+0.0103837
+0.00861119
+0.00696697
+0.0053141
+0.00405716
+0.00282546
+0.00134901
+-3.55065e-06
+-0.00103345
+-0.00217155
+-0.00318752
+-0.00401672
+-0.00478
+-0.00583473
+-0.00647523
+-0.00603511
+-0.00590576
+-0.00598175
+-0.006043
+-0.00598548
+-0.00495181
+-0.00415389
+-0.00343946
+-0.00263685
+-0.0013774
+0.00024198
+0.00201759
+0.00372729
+0.00548168
+0.00710159
+0.00893262
+0.0108103
+0.011773
+0.011639
+0.0118907
+0.0124735
+0.0133923
+0.0145223
+0.0158757
+0.0174005
+0.0190188
+0.0207316
+0.0200621
+0.0195286
+0.0190507
+0.0187707
+0.0186974
+0.0188798
+0.0193106
+0.0199409
+0.0207709
+0.0217904
+0.0229641
+0.0242544
+0.0249175
+0.0239697
+0.0231906
+0.0225979
+0.0221334
+0.0218684
+0.0218157
+0.0219032
+0.0222075
+0.02272
+0.0231378
+0.0220022
+0.0210265
+0.0202419
+0.019671
+0.0193116
+0.0191955
+0.0193285
+0.0196902
+0.0202526
+0.0210293
+0.0219976
+0.0231274
+0.0243697
+0.0253687
+0.0239
+0.0225445
+0.0213283
+0.0202738
+0.0194001
+0.0187427
+0.0183016
+0.0181135
+0.0181893
+0.0185176
+0.0190657
+0.0198418
+0.020812
+0.0219552
+0.0232365
+0.0215628
+0.0198051
+0.018142
+0.016542
+0.0147917
+0.0129406
+0.0111991
+0.00952175
+0.00804449
+0.00660914
+0.00530753
+0.0039555
+0.00266847
+0.00164576
+0.000608697
+-0.000353912
+-0.00126454
+-0.0019933
+-0.00283221
+-0.00373006
+-0.0044408
+-0.00402979
+-0.00393185
+-0.00418627
+-0.00430496
+-0.00439416
+-0.00385842
+-0.00317213
+-0.0024239
+-0.00158506
+-0.0010551
+9.50979e-05
+0.00145197
+0.0031059
+0.0046723
+0.00643755
+0.00827676
+0.0100925
+0.0119459
+0.0132056
+0.013442
+0.0139602
+0.014788
+0.0158595
+0.0171171
+0.0185401
+0.0201015
+0.0210528
+0.0201443
+0.0194413
+0.0189428
+0.0186604
+0.0185868
+0.0187702
+0.0191884
+0.0198087
+0.0206441
+0.0216695
+0.0228435
+0.0241384
+0.025304
+0.0243712
+0.0236054
+0.0230234
+0.0226392
+0.0223865
+0.0223404
+0.0224849
+0.0227951
+0.0232842
+0.023938
+0.0236821
+0.0227785
+0.0220563
+0.0215299
+0.0212006
+0.0210948
+0.021216
+0.0215553
+0.0220702
+0.022785
+0.0236816
+0.0247402
+0.0259296
+0.0266652
+0.0252629
+0.0239741
+0.0228231
+0.0218319
+0.021023
+0.0204181
+0.020014
+0.0198422
+0.0199114
+0.0202115
+0.0207148
+0.0214313
+0.0223395
+0.0234082
+0.0227169
+0.0208609
+0.0190545
+0.0173205
+0.0156435
+0.0140677
+0.0124456
+0.0109959
+0.00972973
+0.00861136
+0.00772552
+0.00662875
+0.00533961
+0.00427446
+0.00342632
+0.00245991
+0.00156718
+0.000808186
+9.06768e-05
+-0.000884701
+-0.00169816
+-0.00234806
+-0.00188724
+-0.00181234
+-0.00217565
+-0.00248653
+-0.00245536
+-0.00253518
+-0.00218469
+-0.00175331
+-0.00142188
+-0.000675964
+0.000516199
+0.00158293
+0.00279939
+0.00432932
+0.00592959
+0.00757683
+0.00942929
+0.0113936
+0.0132913
+0.0151308
+0.0156121
+0.0163565
+0.0173326
+0.0185152
+0.0198429
+0.0213091
+0.0211836
+0.020281
+0.019577
+0.0190571
+0.0187764
+0.0187033
+0.0188856
+0.0193012
+0.0199181
+0.020749
+0.0217504
+0.0228979
+0.0241898
+0.0258667
+0.0249549
+0.0242076
+0.0236403
+0.0232663
+0.023095
+0.0230564
+0.0231964
+0.0235077
+0.0239942
+0.0246488
+0.0254398
+0.0246009
+0.0239337
+0.0234448
+0.0231428
+0.023046
+0.0231569
+0.0234727
+0.0239503
+0.0246106
+0.0254429
+0.0264311
+0.0275583
+0.0280442
+0.0267099
+0.0254943
+0.0244151
+0.0234911
+0.0227414
+0.0221834
+0.021812
+0.0216545
+0.0217179
+0.0219934
+0.0224568
+0.0231193
+0.0239645
+0.0241817
+0.0222424
+0.0203431
+0.0184877
+0.0167137
+0.0150059
+0.0133948
+0.0118326
+0.0102358
+0.00881149
+0.00756393
+0.00654136
+0.00602534
+0.00586229
+0.00612161
+0.00518234
+0.00438822
+0.00351536
+0.0028535
+0.00206078
+0.00113111
+0.000319088
+-0.000163828
+0.000296022
+0.000299062
+-8.22908e-05
+-0.000397925
+-0.000481456
+-0.000669384
+-0.00127635
+-0.00206818
+-0.00239893
+-0.00170621
+-0.000575491
+0.00088019
+0.00272981
+0.00395456
+0.00547066
+0.0072685
+0.00911511
+0.0109634
+0.0129103
+0.0149172
+0.0169597
+0.0180471
+0.0189451
+0.0200327
+0.0212909
+0.0223504
+0.0212725
+0.020374
+0.0196793
+0.0191693
+0.0188938
+0.018844
+0.019025
+0.0194526
+0.020111
+0.0209427
+0.0219544
+0.0231299
+0.0244383
+0.0265983
+0.0257125
+0.0249879
+0.0244388
+0.0240772
+0.0239116
+0.0239462
+0.0240869
+0.0243868
+0.0248677
+0.0255151
+0.026309
+0.0264792
+0.0258605
+0.0254044
+0.0251259
+0.0250368
+0.0251389
+0.0254301
+0.0258771
+0.0264894
+0.0272644
+0.0281888
+0.0292483
+0.0295174
+0.0282527
+0.0271064
+0.026094
+0.0252316
+0.0245351
+0.0240188
+0.0236762
+0.0235312
+0.0235895
+0.0238434
+0.0242715
+0.0248858
+0.0256711
+0.0239379
+0.021977
+0.0200525
+0.0181674
+0.0163587
+0.014611
+0.0129511
+0.0111483
+0.00936551
+0.00779354
+0.00650076
+0.0054302
+0.00478098
+0.00463781
+0.00527195
+0.00641532
+0.00631712
+0.00557586
+0.00494884
+0.00400761
+0.00317596
+0.00238817
+0.0020133
+0.00245772
+0.00236157
+0.00198171
+0.00174205
+0.00155137
+0.00104771
+-0.000756163
+-0.00291363
+-0.00382351
+-0.00345155
+-0.00193758
+0.000139033
+0.00181671
+0.00329599
+0.00504416
+0.00686414
+0.00885366
+0.0107651
+0.0127508
+0.0147721
+0.0167926
+0.0188435
+0.0206605
+0.0216657
+0.0228341
+0.0225754
+0.0215087
+0.0206204
+0.0199214
+0.0194398
+0.0191707
+0.0191217
+0.0193
+0.0197217
+0.0203714
+0.0212157
+0.0222274
+0.0233971
+0.0246985
+0.0274856
+0.0266293
+0.0259303
+0.0254016
+0.0250539
+0.0248948
+0.024928
+0.0251224
+0.0254247
+0.025895
+0.0265199
+0.0272974
+0.0281976
+0.0278263
+0.027399
+0.027141
+0.0270585
+0.027153
+0.0274228
+0.0278418
+0.0284117
+0.0291357
+0.0300025
+0.0310001
+0.0310753
+0.0298767
+0.0287951
+0.0278441
+0.0270376
+0.0263888
+0.0259095
+0.025592
+0.0254579
+0.0255119
+0.025747
+0.0261439
+0.0267071
+0.0253674
+0.0233299
+0.0213171
+0.0193387
+0.0174112
+0.0155535
+0.0137939
+0.0120022
+0.0102079
+0.008599
+0.00694522
+0.00535033
+0.00403768
+0.00338903
+0.00335429
+0.00414546
+0.00546718
+0.00687954
+0.00767267
+0.00698712
+0.00602762
+0.00523038
+0.00450574
+0.00417957
+0.00454915
+0.00445806
+0.00409111
+0.00387112
+0.00323478
+0.00118253
+-0.000642118
+-0.00235073
+-0.00402954
+-0.00448909
+-0.00263534
+-0.000770925
+0.000717456
+0.00261632
+0.00465804
+0.00670592
+0.00879773
+0.0107357
+0.0127494
+0.0147266
+0.0167385
+0.0187903
+0.0208704
+0.0229711
+0.0241314
+0.0229282
+0.0218787
+0.021006
+0.0203328
+0.0198795
+0.0196513
+0.0196287
+0.0198149
+0.0202258
+0.0208598
+0.0216853
+0.022676
+0.0238275
+0.0251177
+0.0285139
+0.0276894
+0.0270179
+0.0265108
+0.0261779
+0.0260257
+0.0260574
+0.0262434
+0.0265679
+0.0270528
+0.0276619
+0.028398
+0.0292644
+0.029821
+0.0294215
+0.0291814
+0.0291047
+0.0291926
+0.0294437
+0.0298379
+0.0303705
+0.0310488
+0.0318636
+0.0328046
+0.0327058
+0.0315692
+0.0305476
+0.0296529
+0.0288969
+0.0282889
+0.0278247
+0.0275276
+0.027403
+0.0274531
+0.0276772
+0.0279434
+0.0265804
+0.0246312
+0.0225945
+0.020525
+0.0184716
+0.0164428
+0.0144612
+0.0125494
+0.0107446
+0.00911056
+0.0073315
+0.00560945
+0.00430401
+0.0027193
+0.00149334
+0.00166607
+0.0029376
+0.00460846
+0.00649373
+0.00826961
+0.00890046
+0.00802987
+0.00724016
+0.00664297
+0.00634979
+0.00662572
+0.00659088
+0.00623543
+0.00566993
+0.00366502
+0.00179985
+-5.39097e-05
+-0.00184122
+-0.00333173
+-0.00401557
+-0.0024045
+-0.000966974
+0.000794792
+0.00278066
+0.00483088
+0.00687312
+0.00897778
+0.011028
+0.0129095
+0.0148759
+0.0168976
+0.0189389
+0.0210043
+0.0230928
+0.0245894
+0.0234098
+0.0223829
+0.0215306
+0.0208743
+0.020433
+0.0202111
+0.0201892
+0.0204038
+0.0208476
+0.0215065
+0.0223514
+0.0233227
+0.0244437
+0.025703
+0.0296686
+0.0288771
+0.0282338
+0.027749
+0.0274311
+0.0272783
+0.0272745
+0.0274462
+0.0277788
+0.0282559
+0.0288916
+0.02962
+0.0304516
+0.0314143
+0.0314665
+0.0312421
+0.0311705
+0.0312526
+0.0314873
+0.0318597
+0.032359
+0.0329964
+0.0337642
+0.0346537
+0.0343986
+0.0333198
+0.0323535
+0.0315101
+0.0307948
+0.0302105
+0.0297764
+0.0294989
+0.0293826
+0.0294294
+0.0279034
+0.0263929
+0.024983
+0.0236572
+0.021893
+0.0198172
+0.0177689
+0.0156994
+0.0136234
+0.0115754
+0.00958918
+0.00771422
+0.00605207
+0.00430726
+0.00264405
+0.00156116
+-0.00020866
+0.000148061
+0.00189768
+0.00395347
+0.00609064
+0.00801056
+0.00995889
+0.00992654
+0.00920355
+0.00875746
+0.00853011
+0.00875648
+0.00874599
+0.00830352
+0.00633783
+0.00442838
+0.00268539
+0.00107456
+-0.000705485
+-0.00181035
+-0.00252592
+-0.00112729
+0.000541492
+0.00208026
+0.00366536
+0.00549705
+0.00749372
+0.00946132
+0.0115098
+0.0134164
+0.0153179
+0.0172879
+0.0193056
+0.0213574
+0.0234196
+0.0252266
+0.0240781
+0.023081
+0.0222555
+0.0216212
+0.0211954
+0.0209747
+0.0209536
+0.0211604
+0.0215887
+0.0222257
+0.0230528
+0.0240249
+0.0251493
+0.0264079
+0.0309133
+0.0301545
+0.029539
+0.029076
+0.0287628
+0.0285918
+0.0285883
+0.0287521
+0.0290787
+0.029535
+0.0301438
+0.0308962
+0.0317459
+0.0326704
+0.0335299
+0.0333195
+0.0332523
+0.0333293
+0.0335494
+0.0339024
+0.034372
+0.0349728
+0.0356981
+0.0365406
+0.036145
+0.0351198
+0.0342044
+0.0334002
+0.0327159
+0.0321666
+0.0317592
+0.0314992
+0.0299286
+0.0281962
+0.0265292
+0.0249356
+0.0234386
+0.0220547
+0.0207795
+0.0191702
+0.0171031
+0.0150577
+0.0129979
+0.010919
+0.00882071
+0.00673771
+0.0047519
+0.00301289
+0.00141731
+-0.000159481
+-0.00142127
+-0.00068142
+0.001325
+0.00324069
+0.00531271
+0.0073781
+0.00947252
+0.0115885
+0.0112346
+0.0108407
+0.0107147
+0.0109069
+0.0108615
+0.00911362
+0.0072677
+0.0055974
+0.00377601
+0.00219401
+0.000957914
+-0.000155055
+-0.000544799
+0.000369341
+0.00176487
+0.00328208
+0.00501032
+0.00670566
+0.00847848
+0.0103744
+0.0121862
+0.014021
+0.0159441
+0.0179287
+0.0198909
+0.0218879
+0.0239188
+0.0259233
+0.0249011
+0.0239382
+0.0231433
+0.0225341
+0.0221259
+0.0219046
+0.0218844
+0.0220825
+0.0224932
+0.0231053
+0.0239031
+0.0248648
+0.0259442
+0.0271578
+0.0322337
+0.0315068
+0.0309182
+0.0304761
+0.0301709
+0.030008
+0.0300046
+0.0301607
+0.030474
+0.0309166
+0.0314986
+0.0322195
+0.0330699
+0.0340173
+0.035019
+0.0354059
+0.0353427
+0.0354152
+0.0356224
+0.0359622
+0.0364056
+0.0369734
+0.0376602
+0.0384597
+0.0379374
+0.036962
+0.0360835
+0.0353155
+0.0346691
+0.0341512
+0.0324146
+0.030567
+0.0287619
+0.0270032
+0.0252601
+0.0235918
+0.0220037
+0.0205267
+0.0191779
+0.017943
+0.0165265
+0.014415
+0.0123311
+0.0102918
+0.0083296
+0.00632204
+0.004191
+0.00208286
+6.17955e-05
+-0.00133827
+-0.00281563
+-0.00155679
+0.000553377
+0.00266611
+0.00480496
+0.00697488
+0.00915471
+0.0113387
+0.013315
+0.0129594
+0.0129013
+0.013062
+0.012042
+0.0102453
+0.00849852
+0.00665039
+0.00507636
+0.0037009
+0.00268443
+0.00163612
+0.00157795
+0.00231622
+0.00334371
+0.00468217
+0.00617176
+0.00788409
+0.00949352
+0.0112782
+0.0130697
+0.0148273
+0.0166576
+0.018566
+0.020531
+0.0225375
+0.0245756
+0.0265435
+0.0258789
+0.0249539
+0.0241923
+0.0236102
+0.0232209
+0.0230061
+0.0229869
+0.0231756
+0.0235673
+0.0241521
+0.0249165
+0.0258323
+0.0268765
+0.0280497
+0.0336451
+0.0329493
+0.032387
+0.0319652
+0.0316681
+0.031513
+0.0315097
+0.0316584
+0.031957
+0.0323875
+0.0329436
+0.0336335
+0.0344491
+0.0353817
+0.0364053
+0.0374713
+0.0374411
+0.0375095
+0.0377053
+0.0380264
+0.0384565
+0.0389944
+0.0396462
+0.0404064
+0.0397692
+0.0388287
+0.0379899
+0.0372612
+0.0353585
+0.0333879
+0.0314466
+0.0295401
+0.0276757
+0.0258583
+0.0240989
+0.0223678
+0.020696
+0.0191182
+0.0176716
+0.0163778
+0.0151388
+0.0137408
+0.011732
+0.00972333
+0.00771626
+0.00570602
+0.00379927
+0.00219159
+0.000186745
+-0.00198484
+-0.00345654
+-0.00135748
+0.000757137
+0.00279688
+0.00487936
+0.00702385
+0.00918519
+0.0113406
+0.0135073
+0.0150987
+0.0150694
+0.0145503
+0.0130409
+0.0113066
+0.00959586
+0.00804206
+0.00666344
+0.00546301
+0.00430411
+0.0036108
+0.00363478
+0.00427571
+0.00525097
+0.00634423
+0.00771081
+0.00919699
+0.0107777
+0.0123853
+0.0141331
+0.0158323
+0.0176112
+0.0194308
+0.0213162
+0.0232551
+0.0252352
+0.0272476
+0.026992
+0.0261064
+0.0253795
+0.0248252
+0.0244525
+0.0242387
+0.0242204
+0.0243996
+0.0247719
+0.025329
+0.0260433
+0.0269128
+0.0279275
+0.0290625
+0.0351365
+0.0344708
+0.0339337
+0.0335314
+0.0332424
+0.0330946
+0.0330915
+0.0332331
+0.0335177
+0.0339362
+0.0344673
+0.0351273
+0.035909
+0.0368046
+0.0378061
+0.0388936
+0.0395495
+0.0396143
+0.0397997
+0.0401041
+0.040522
+0.0410328
+0.0416528
+0.042377
+0.0416235
+0.0407244
+0.0387005
+0.0366478
+0.0346121
+0.0325965
+0.0306049
+0.0286425
+0.0267155
+0.0248323
+0.0230037
+0.0212358
+0.0195363
+0.0178564
+0.0162982
+0.0148991
+0.0136646
+0.0123408
+0.0110095
+0.00898099
+0.00694901
+0.00496095
+0.00308753
+0.00130585
+-0.000589241
+-0.00264143
+-0.00303795
+-0.000922479
+0.00121838
+0.00333313
+0.00545721
+0.00758631
+0.00965415
+0.0117324
+0.0138379
+0.0159664
+0.0149053
+0.013205
+0.0115961
+0.0101409
+0.00882018
+0.00779605
+0.0071852
+0.00707405
+0.00610678
+0.0056632
+0.00573429
+0.00634983
+0.00719466
+0.0082105
+0.00935888
+0.010749
+0.0122409
+0.013453
+0.0145876
+0.0159441
+0.0174621
+0.0191105
+0.020859
+0.022684
+0.0245502
+0.0264638
+0.0282315
+0.027386
+0.0266939
+0.0261649
+0.0257796
+0.0255755
+0.0255581
+0.025728
+0.0260814
+0.026611
+0.0272918
+0.0281228
+0.0290953
+0.0301957
+0.0366981
+0.0360612
+0.0355482
+0.0351602
+0.0348832
+0.0347424
+0.0347395
+0.0348744
+0.0351456
+0.0355501
+0.0360598
+0.0366911
+0.0374402
+0.0383
+0.0392634
+0.0403229
+0.0414641
+0.0417279
+0.041904
+0.0421932
+0.0425932
+0.0430862
+0.043677
+0.0443682
+0.0423191
+0.0402235
+0.0381385
+0.0360616
+0.0339908
+0.031936
+0.0299004
+0.0278885
+0.0259055
+0.0239587
+0.0220577
+0.0202155
+0.0184487
+0.0167706
+0.0151187
+0.0135987
+0.0122556
+0.0109905
+0.00959192
+0.00821235
+0.00634985
+0.00431399
+0.00233231
+0.000449516
+-0.00123896
+-0.00167425
+-0.00172368
+-0.000632787
+0.00151019
+0.00365495
+0.00579196
+0.00794542
+0.0101147
+0.01224
+0.0143681
+0.0157191
+0.0138137
+0.012006
+0.0103294
+0.00873085
+0.00734153
+0.00608534
+0.00526181
+0.00516241
+0.00567316
+0.00659753
+0.00628062
+0.00647098
+0.00719682
+0.00841991
+0.00909802
+0.00987601
+0.0107915
+0.0117761
+0.0130573
+0.0145468
+0.0161956
+0.0179607
+0.0197935
+0.0216842
+0.0236268
+0.0256082
+0.0276139
+0.0287674
+0.0281002
+0.0275837
+0.0272172
+0.0270239
+0.0270075
+0.0271683
+0.0275032
+0.028006
+0.0286537
+0.0294462
+0.0303764
+0.031432
+0.0383214
+0.0377119
+0.0372216
+0.0368459
+0.0365817
+0.0364475
+0.0364446
+0.0365733
+0.036832
+0.0372181
+0.0377123
+0.0383164
+0.0390343
+0.0398598
+0.0407863
+0.0418073
+0.0429158
+0.0438491
+0.0440167
+0.0442921
+0.0446734
+0.0451525
+0.0457166
+0.0440295
+0.0419049
+0.0397875
+0.0376784
+0.0355792
+0.0334917
+0.0314146
+0.029343
+0.0272899
+0.02526
+0.0232592
+0.0212959
+0.0193814
+0.0175317
+0.0157613
+0.0140979
+0.0125199
+0.0110789
+0.0097275
+0.00839231
+0.00689923
+0.00533458
+0.00350591
+0.00175316
+0.000108438
+-0.000583277
+-0.000904644
+-0.000915605
+0.000137402
+0.00195239
+0.0040613
+0.00616267
+0.008282
+0.0103923
+0.0119885
+0.013606
+0.0149761
+0.0129881
+0.0110493
+0.00922341
+0.00751972
+0.00590847
+0.00449645
+0.00345729
+0.00339572
+0.00415304
+0.00482927
+0.00440653
+0.00464525
+0.0055752
+0.00702847
+0.00782487
+0.008392
+0.00914709
+0.0102902
+0.0117256
+0.0133634
+0.0151276
+0.0169712
+0.018878
+0.0208407
+0.0228449
+0.0248805
+0.0269405
+0.0290196
+0.0295873
+0.0290972
+0.0287501
+0.0285671
+0.0285516
+0.0287037
+0.0290209
+0.0294978
+0.0301134
+0.0308685
+0.0317571
+0.0327683
+0.0399988
+0.0394153
+0.0389464
+0.0385824
+0.0383301
+0.038202
+0.0381994
+0.0383221
+0.0385691
+0.038938
+0.0394174
+0.0399957
+0.040684
+0.0414767
+0.0423679
+0.0433516
+0.0444216
+0.0455719
+0.0461366
+0.0463995
+0.0467636
+0.0472266
+0.0457764
+0.0436829
+0.0415988
+0.0394684
+0.0373414
+0.0352221
+0.0331121
+0.0310131
+0.0289215
+0.0268435
+0.0247849
+0.02275
+0.0207385
+0.0187672
+0.0168502
+0.0149996
+0.0132409
+0.0116053
+0.0100686
+0.00867066
+0.00729864
+0.00573986
+0.00425879
+0.00262854
+0.00107301
+-2.2724e-05
+-0.000164529
+-0.000309688
+-0.000360113
+0.00080946
+0.00220699
+0.00395554
+0.00591798
+0.00786251
+0.00953059
+0.011176
+0.0128182
+0.0144325
+0.0123588
+0.0103139
+0.00834126
+0.00645003
+0.00470516
+0.00319042
+0.00210341
+0.00207
+0.00270435
+0.00335135
+0.00280695
+0.00313127
+0.00433977
+0.00571406
+0.00655788
+0.00690067
+0.00776145
+0.0090807
+0.0106432
+0.0123678
+0.014217
+0.0161519
+0.018145
+0.0201791
+0.0222429
+0.0243258
+0.0264159
+0.0285208
+0.0306377
+0.0306926
+0.0303636
+0.0301905
+0.0301758
+0.0303198
+0.0306203
+0.0310726
+0.0316576
+0.0323767
+0.033225
+0.0341927
+0.0417238
+0.0411647
+0.040716
+0.0403631
+0.040122
+0.0399997
+0.0399971
+0.0401144
+0.0403504
+0.0407031
+0.0411683
+0.0417225
+0.0423827
+0.0431442
+0.0440016
+0.0449496
+0.0459824
+0.0470946
+0.0482629
+0.0485142
+0.0488626
+0.0476519
+0.0455436
+0.0434389
+0.0413426
+0.0392566
+0.0371307
+0.0349986
+0.0328743
+0.0307592
+0.028649
+0.0265497
+0.0244664
+0.0224035
+0.0203674
+0.018367
+0.0164151
+0.0145313
+0.0127079
+0.0109934
+0.00937998
+0.00794625
+0.00656707
+0.00492995
+0.00324949
+0.00182174
+0.000635152
+2.50077e-05
+2.16097e-05
+0.000166996
+0.000189975
+0.00133709
+0.0023446
+0.00384696
+0.00532145
+0.00696903
+0.00870548
+0.0104506
+0.0123199
+0.0140029
+0.0120274
+0.00993431
+0.00789431
+0.00593283
+0.00402289
+0.00246952
+0.000829129
+0.000284085
+0.000881116
+0.00227921
+0.00175036
+0.00169386
+0.00269109
+0.00432865
+0.00521898
+0.00562352
+0.00666024
+0.00808937
+0.00978304
+0.0116306
+0.0135805
+0.0155945
+0.0176486
+0.0197252
+0.0218158
+0.0239241
+0.0260461
+0.0281786
+0.0303194
+0.0323576
+0.0320458
+0.0318818
+0.0318679
+0.0320043
+0.0322891
+0.0327184
+0.0332744
+0.0339593
+0.034769
+0.0356949
+0.0434907
+0.0429547
+0.0425247
+0.0421824
+0.0419518
+0.0418348
+0.0418323
+0.0419445
+0.0421703
+0.0425079
+0.0429547
+0.0434911
+0.0441248
+0.0448567
+0.0456821
+0.0465958
+0.047593
+0.0486684
+0.0498169
+0.0506355
+0.0496494
+0.0475294
+0.0454154
+0.0433045
+0.0412013
+0.0391078
+0.0370255
+0.0349115
+0.0327815
+0.03066
+0.0285425
+0.0264347
+0.0243416
+0.0222672
+0.0202174
+0.0182004
+0.0162285
+0.0143204
+0.0124997
+0.010786
+0.00915181
+0.0076753
+0.00633269
+0.00474972
+0.00316318
+0.00183776
+0.00090998
+0.00038265
+0.00053476
+0.000805623
+0.000792201
+0.00139721
+0.00222397
+0.00345862
+0.00495213
+0.00659494
+0.00835446
+0.0101461
+0.0120529
+0.0137113
+0.0120605
+0.00997124
+0.00793688
+0.00596914
+0.00414094
+0.00225798
+0.000243593
+-0.00105294
+0.00044029
+0.00161369
+0.000860043
+1.29259e-05
+0.00134999
+0.00340649
+0.00432681
+0.00476192
+0.0059294
+0.00753066
+0.00930806
+0.011225
+0.0132272
+0.0152813
+0.0173687
+0.0194752
+0.02159
+0.0237184
+0.0258573
+0.0280042
+0.0301573
+0.0323156
+0.0337852
+0.0336296
+0.0336164
+0.0337458
+0.034016
+0.0344237
+0.0349538
+0.0356064
+0.0363794
+0.0372654
+0.0452947
+0.0447803
+0.0443636
+0.0440355
+0.0438147
+0.0437027
+0.0437003
+0.0438077
+0.0440239
+0.0443474
+0.0447759
+0.0452966
+0.0459054
+0.0466093
+0.0474042
+0.0482854
+0.0492483
+0.0502883
+0.0514007
+0.0517553
+0.0496286
+0.0475077
+0.0453927
+0.0432806
+0.0411763
+0.0390814
+0.0369977
+0.034927
+0.032835
+0.0307171
+0.0286039
+0.026501
+0.0244135
+0.0223458
+0.020304
+0.0182965
+0.0163363
+0.0144424
+0.0126393
+0.0109474
+0.00937403
+0.00793637
+0.00666678
+0.0053211
+0.0039999
+0.00304836
+0.00227346
+0.00194794
+0.00208278
+0.00239854
+0.00209529
+0.00222624
+0.00282546
+0.00391413
+0.00532648
+0.00679317
+0.00845893
+0.0102279
+0.0120961
+0.0137039
+0.0124314
+0.0104169
+0.00847008
+0.0066239
+0.00476984
+0.00292285
+0.00145451
+0.00076926
+0.00177677
+0.0019427
+0.00109299
+-0.000166717
+0.0011368
+0.00328522
+0.00430328
+0.00472441
+0.00590141
+0.00751716
+0.00929714
+0.011216
+0.0132195
+0.0152746
+0.0173629
+0.01947
+0.0215853
+0.0237141
+0.0258534
+0.0280005
+0.030154
+0.0323124
+0.0344749
+0.0354235
+0.0354109
+0.0355337
+0.0357904
+0.0361782
+0.0366872
+0.0373095
+0.0380479
+0.0388959
+0.0471315
+0.0466373
+0.0462331
+0.0459184
+0.0457067
+0.0455993
+0.0455971
+0.0456999
+0.0459073
+0.0462176
+0.0466289
+0.0471347
+0.0477201
+0.0483976
+0.0491636
+0.0500138
+0.0509441
+0.0519501
+0.0530277
+0.0518281
+0.0497045
+0.0475869
+0.0454757
+0.0433676
+0.0412677
+0.0391777
+0.0370994
+0.0350347
+0.0329863
+0.0308938
+0.0287949
+0.0267107
+0.024645
+0.0226029
+0.0205913
+0.0186201
+0.0166993
+0.0148407
+0.0130853
+0.0114702
+0.0100491
+0.00866791
+0.00751202
+0.00646496
+0.00541105
+0.0046767
+0.00407827
+0.00389659
+0.00395628
+0.00425701
+0.00378968
+0.00379179
+0.00414874
+0.00502408
+0.00629083
+0.00752729
+0.00904354
+0.01073
+0.0124601
+0.0140165
+0.0131143
+0.0112122
+0.0094081
+0.00758333
+0.00583679
+0.0043917
+0.00338485
+0.002953
+0.00347849
+0.00329561
+0.0026137
+0.00186128
+0.00236325
+0.00401106
+0.00512769
+0.00546433
+0.00650917
+0.0080159
+0.00972447
+0.0115814
+0.0135384
+0.0155579
+0.0176183
+0.0197061
+0.0218018
+0.0239114
+0.0260344
+0.0281678
+0.0303094
+0.0324575
+0.0346109
+0.0367688
+0.0372478
+0.0373646
+0.0376088
+0.037978
+0.0384672
+0.0390612
+0.0397671
+0.0403269
+0.0489974
+0.0485222
+0.0481297
+0.0478275
+0.0476242
+0.0475212
+0.0475191
+0.0476178
+0.0478168
+0.0481148
+0.0485101
+0.0490001
+0.0495652
+0.0502179
+0.0509564
+0.0517772
+0.0526764
+0.05365
+0.0541149
+0.0519909
+0.0498726
+0.0477607
+0.0456563
+0.0435605
+0.0414735
+0.0393958
+0.0373296
+0.0352784
+0.033245
+0.0311997
+0.0291228
+0.0270639
+0.0250274
+0.0230192
+0.0210474
+0.0191234
+0.017263
+0.0154893
+0.0138153
+0.0122865
+0.0109841
+0.00974372
+0.00871842
+0.00795969
+0.00712187
+0.00653709
+0.00609056
+0.00597031
+0.00595438
+0.00624732
+0.0057289
+0.00563227
+0.00586552
+0.00656782
+0.00767259
+0.0086979
+0.0100439
+0.0115768
+0.0131298
+0.014615
+0.0140993
+0.0123051
+0.0105544
+0.00886614
+0.00736704
+0.00621794
+0.00547096
+0.00514185
+0.00549405
+0.00506841
+0.00452933
+0.00401085
+0.0042912
+0.00543277
+0.00658435
+0.00684224
+0.00770954
+0.00902166
+0.0105726
+0.0123094
+0.0141726
+0.0161127
+0.0181102
+0.0201478
+0.0222145
+0.0243024
+0.0263967
+0.028503
+0.0306211
+0.0327488
+0.0348842
+0.0370262
+0.0391212
+0.0392324
+0.039465
+0.0396957
+0.0398405
+0.0400925
+0.0404508
+0.0409233
+0.0508892
+0.0504318
+0.0500504
+0.0497598
+0.0495645
+0.0494655
+0.0494634
+0.0495583
+0.0497495
+0.0500361
+0.0504162
+0.0508879
+0.0514374
+0.0520666
+0.0527793
+0.0535722
+0.0544417
+0.0553843
+0.0543444
+0.0522297
+0.0501214
+0.0480205
+0.045928
+0.0438451
+0.0417732
+0.0397141
+0.0376699
+0.035638
+0.0336218
+0.0316287
+0.0296096
+0.0275871
+0.0255922
+0.0236321
+0.021716
+0.0198569
+0.0180722
+0.0163862
+0.014814
+0.0133996
+0.0121556
+0.0110922
+0.0102143
+0.00958053
+0.00902967
+0.00853186
+0.00810496
+0.0079819
+0.00801368
+0.0081532
+0.00776779
+0.00759728
+0.00780411
+0.0083591
+0.00928161
+0.0101962
+0.011354
+0.0127225
+0.0141047
+0.0154802
+0.0152813
+0.0135779
+0.0119165
+0.010411
+0.00915461
+0.00820664
+0.00760005
+0.0073318
+0.00760708
+0.00701667
+0.00658368
+0.00618656
+0.00637875
+0.0072362
+0.00834694
+0.00855214
+0.00926067
+0.0103912
+0.0117692
+0.0133513
+0.0150863
+0.0169246
+0.0188361
+0.0208028
+0.0228103
+0.0248487
+0.0269111
+0.0289924
+0.0310844
+0.0331824
+0.0352917
+0.0374103
+0.0395367
+0.0404717
+0.0403767
+0.0404004
+0.0405427
+0.0407903
+0.0411425
+0.0416072
+0.052804
+0.0523622
+0.0519924
+0.0517127
+0.0515248
+0.0514296
+0.0514276
+0.0515188
+0.0517028
+0.0519786
+0.0523447
+0.0527991
+0.0533339
+0.053941
+0.0546292
+0.0553956
+0.056237
+0.0567695
+0.0546607
+0.0525587
+0.0504642
+0.0483782
+0.0463018
+0.0442366
+0.0421839
+0.0401459
+0.0381248
+0.0361185
+0.0341306
+0.0321691
+0.0302391
+0.0282708
+0.0263278
+0.0244267
+0.0225782
+0.0207963
+0.0190995
+0.0174988
+0.016022
+0.0147241
+0.0135561
+0.012603
+0.011877
+0.0113484
+0.0109861
+0.0105365
+0.0101799
+0.0100453
+0.0100928
+0.010167
+0.00985753
+0.00962299
+0.0097871
+0.0102906
+0.0110671
+0.0118519
+0.0128548
+0.0141054
+0.0152781
+0.0165706
+0.0166151
+0.0149837
+0.0134797
+0.0121458
+0.0110564
+0.0102698
+0.00975472
+0.00952208
+0.0096565
+0.0090696
+0.00867959
+0.00836952
+0.00851722
+0.009177
+0.0102439
+0.0103904
+0.010981
+0.0119499
+0.0132143
+0.0146488
+0.0162459
+0.0179659
+0.019777
+0.0216584
+0.0235932
+0.0255693
+0.0275779
+0.0296123
+0.0316676
+0.0337399
+0.0358263
+0.0379172
+0.0400168
+0.0412794
+0.0411863
+0.0412096
+0.0413491
+0.0415919
+0.0419374
+0.0423934
+0.0547396
+0.0543099
+0.0539534
+0.053684
+0.053503
+0.0534113
+0.0534094
+0.0534973
+0.0536745
+0.0539401
+0.054293
+0.0547313
+0.055252
+0.0558384
+0.0565035
+0.0572448
+0.0580594
+0.0571564
+0.0550624
+0.0529763
+0.050899
+0.0488316
+0.0467754
+0.044732
+0.0427032
+0.0406911
+0.0386985
+0.0367236
+0.0347704
+0.0328471
+0.0309594
+0.0291037
+0.0272202
+0.0253861
+0.0236128
+0.0219151
+0.0202905
+0.0187777
+0.0174097
+0.0162047
+0.0151185
+0.0142443
+0.013646
+0.0132381
+0.013017
+0.0126029
+0.0122907
+0.0121388
+0.0122109
+0.0122417
+0.0119194
+0.0117075
+0.0118427
+0.012292
+0.0129578
+0.0136511
+0.0145319
+0.0156459
+0.0166583
+0.0178511
+0.0180614
+0.0165578
+0.0151798
+0.0140083
+0.0130387
+0.0123629
+0.0119105
+0.0117125
+0.0116648
+0.011175
+0.0108129
+0.0105557
+0.0106761
+0.0112095
+0.0121213
+0.0123431
+0.0128442
+0.0136819
+0.014799
+0.0161368
+0.0176028
+0.0192017
+0.020906
+0.022694
+0.0245473
+0.0264523
+0.0283984
+0.030378
+0.0323847
+0.0344138
+0.0364617
+0.0385252
+0.0406021
+0.0421856
+0.0420945
+0.0421173
+0.0422538
+0.0424915
+0.0428297
+0.0432762
+0.0566938
+0.0562755
+0.0559315
+0.0556717
+0.0554971
+0.0554088
+0.0554069
+0.0554916
+0.0556625
+0.0559187
+0.0562591
+0.0566822
+0.0571862
+0.0577565
+0.0583998
+0.0591174
+0.0597085
+0.057624
+0.0555477
+0.0534805
+0.0514236
+0.0493781
+0.0473457
+0.045328
+0.0433271
+0.0413454
+0.0393859
+0.0374473
+0.0355338
+0.0336537
+0.0318096
+0.0300121
+0.0282546
+0.0264831
+0.0247684
+0.0231343
+0.0215989
+0.0201849
+0.0189102
+0.0177717
+0.016802
+0.0160176
+0.015475
+0.0151834
+0.0150098
+0.0146872
+0.0144125
+0.0142616
+0.01434
+0.0143449
+0.0140088
+0.0138248
+0.0139395
+0.0143482
+0.0148872
+0.015539
+0.0163311
+0.0172457
+0.0181769
+0.019296
+0.0196332
+0.0182323
+0.0169894
+0.0159279
+0.0150787
+0.0144814
+0.0140765
+0.0139029
+0.0137237
+0.0132987
+0.0129638
+0.0127434
+0.012845
+0.0132917
+0.0140692
+0.0143647
+0.0147975
+0.0155301
+0.0165227
+0.0177318
+0.0191139
+0.0205969
+0.0221944
+0.0238861
+0.0256534
+0.0274818
+0.0293598
+0.0312786
+0.0332309
+0.0352114
+0.0372154
+0.0392393
+0.0412803
+0.0431784
+0.043095
+0.0431173
+0.0432506
+0.0434829
+0.0438134
+0.04425
+0.0586646
+0.0582571
+0.0579249
+0.0576741
+0.0575056
+0.0574203
+0.0574185
+0.0575003
+0.0576652
+0.0579126
+0.0582413
+0.0586501
+0.0591373
+0.0596935
+0.0603161
+0.0610111
+0.060236
+0.0581704
+0.0561144
+0.0540689
+0.0520352
+0.0500147
+0.0480092
+0.0460206
+0.0440512
+0.0421036
+0.0401811
+0.0382817
+0.0364084
+0.0345724
+0.03278
+0.0310388
+0.0293579
+0.0276511
+0.0260136
+0.0244627
+0.0230161
+0.0216924
+0.0204743
+0.0194277
+0.0185735
+0.0178683
+0.0173788
+0.0171197
+0.0170513
+0.0167916
+0.0165519
+0.0164022
+0.0164608
+0.0164656
+0.0161251
+0.015962
+0.0160614
+0.0164239
+0.0168732
+0.0174792
+0.0182073
+0.0189437
+0.019799
+0.0208397
+0.0212955
+0.0200031
+0.018877
+0.0179069
+0.0171559
+0.0166138
+0.0162475
+0.0160934
+0.0158181
+0.0154172
+0.0151205
+0.014932
+0.0150199
+0.0154036
+0.0160793
+0.0164296
+0.0168093
+0.0174577
+0.0183464
+0.0194424
+0.0207128
+0.0221215
+0.023616
+0.0252125
+0.0268929
+0.0286422
+0.0304488
+0.0323029
+0.0341968
+0.0361243
+0.0380803
+0.0400606
+0.0420617
+0.0440797
+0.0441816
+0.0442033
+0.0443334
+0.04456
+0.0448826
+0.0453089
+0.0606506
+0.0602532
+0.0599321
+0.0596897
+0.0595269
+0.0594445
+0.0594428
+0.0595218
+0.0596811
+0.0599202
+0.060238
+0.0606333
+0.0611047
+0.0616474
+0.0622505
+0.0628922
+0.0608379
+0.0587935
+0.05676
+0.0547386
+0.0527307
+0.050738
+0.0487623
+0.0468057
+0.0448707
+0.0429603
+0.0410763
+0.0392144
+0.0373878
+0.0356024
+0.0338646
+0.0321821
+0.0305641
+0.0289285
+0.0273672
+0.0258972
+0.0245349
+0.0232757
+0.0221449
+0.0211809
+0.0203966
+0.019766
+0.0193434
+0.0191109
+0.0190979
+0.0188946
+0.0187031
+0.0185212
+0.018523
+0.0185959
+0.0182419
+0.0181119
+0.0181996
+0.0185006
+0.0189045
+0.0194726
+0.0200585
+0.0207216
+0.0215178
+0.0224787
+0.023039
+0.0218499
+0.020812
+0.0199302
+0.0192583
+0.0187574
+0.0184218
+0.0182838
+0.0179355
+0.0175534
+0.0172858
+0.0171211
+0.0171987
+0.0175348
+0.0181313
+0.0185235
+0.0188611
+0.0194412
+0.020243
+0.0212413
+0.02241
+0.0237238
+0.0251484
+0.0266533
+0.028248
+0.0299183
+0.031652
+0.0334395
+0.0352725
+0.0371442
+0.0390491
+0.0409826
+0.0429408
+0.0449193
+0.0453431
+0.0453643
+0.045491
+0.0457168
+0.0460313
+0.0464471
+0.0626483
+0.0622624
+0.0619517
+0.0617172
+0.0615598
+0.0614802
+0.0614785
+0.0615549
+0.0617089
+0.0619401
+0.0622477
+0.0626303
+0.0630868
+0.0636154
+0.0642013
+0.0635444
+0.061512
+0.0594907
+0.0574819
+0.0554868
+0.053507
+0.0515443
+0.0496007
+0.0476785
+0.0457805
+0.0439097
+0.0420614
+0.0402448
+0.0384672
+0.0367343
+0.0350527
+0.03343
+0.0318697
+0.0303015
+0.0288147
+0.0274224
+0.0261398
+0.024951
+0.0238996
+0.0230057
+0.0222852
+0.0217096
+0.0213415
+0.0211395
+0.02112
+0.0210094
+0.0208064
+0.0206101
+0.0206117
+0.0206706
+0.0203578
+0.0202456
+0.020349
+0.0205976
+0.0209679
+0.0215045
+0.0219559
+0.0225634
+0.0233158
+0.0242051
+0.0248534
+0.0237553
+0.0227881
+0.0219856
+0.0213778
+0.0209107
+0.0205978
+0.0204743
+0.0200666
+0.0197015
+0.0194567
+0.0193106
+0.0193802
+0.0196791
+0.0202124
+0.0206375
+0.020941
+0.021465
+0.0221937
+0.023108
+0.0241866
+0.0254087
+0.0267547
+0.0281908
+0.0297031
+0.0312958
+0.0329572
+0.0346774
+0.0364482
+0.0382624
+0.0401143
+0.0419988
+0.0439117
+0.0458483
+0.0465751
+0.0465957
+0.0467191
+0.0469445
+0.0472536
+0.0476588
+0.0646573
+0.0642835
+0.0639826
+0.0637556
+0.0636032
+0.0635261
+0.0635245
+0.0635984
+0.0637475
+0.0639714
+0.0642692
+0.0646399
+0.0650823
+0.0655948
+0.0661672
+0.0642648
+0.0622558
+0.0602595
+0.0582772
+0.0563103
+0.0543605
+0.0524298
+0.0505203
+0.0486344
+0.0467752
+0.0449416
+0.0431351
+0.0413657
+0.0396384
+0.037959
+0.0363341
+0.0347713
+0.0332656
+0.0317665
+0.0303515
+0.029033
+0.0278168
+0.0266986
+0.0257187
+0.0248892
+0.0242248
+0.0236963
+0.0233621
+0.0231841
+0.0231644
+0.0231383
+0.0228971
+0.0227182
+0.0227197
+0.0227671
+0.022488
+0.0223865
+0.0224988
+0.0227123
+0.0230548
+0.0235358
+0.0239035
+0.0244627
+0.0251762
+0.0260015
+0.0267242
+0.0257017
+0.0248002
+0.0240649
+0.0235026
+0.0230569
+0.0227764
+0.02265
+0.0222027
+0.0218581
+0.0216317
+0.0215003
+0.0215636
+0.0218326
+0.0223145
+0.022766
+0.0230415
+0.0235187
+0.0241857
+0.0250272
+0.0260264
+0.0271659
+0.0284288
+0.0297994
+0.0312441
+0.032762
+0.0343525
+0.0360062
+0.0377146
+0.0394707
+0.0412684
+0.0431024
+0.0449684
+0.0468614
+0.0478757
+0.0478957
+0.0480157
+0.0482351
+0.0485441
+0.0489386
+0.0666777
+0.0663153
+0.0660237
+0.0658037
+0.0656561
+0.0655814
+0.0655799
+0.0656514
+0.0657959
+0.0660128
+0.0663015
+0.0666609
+0.0670899
+0.0675873
+0.0670478
+0.065051
+0.0630671
+0.0610973
+0.059143
+0.0572059
+0.0552877
+0.0533905
+0.0515166
+0.0496687
+0.0478487
+0.0460524
+0.0442912
+0.0425699
+0.0408935
+0.0392678
+0.0376994
+0.0361892
+0.0347365
+0.0333111
+0.0319646
+0.0307154
+0.0295564
+0.0285065
+0.027591
+0.0268195
+0.026204
+0.0257162
+0.0254086
+0.0252529
+0.0252334
+0.0252778
+0.0249969
+0.0248397
+0.024842
+0.0248798
+0.024628
+0.0245362
+0.0246387
+0.0248402
+0.0251593
+0.0255493
+0.0258885
+0.0264056
+0.0270859
+0.0278544
+0.0286337
+0.0276754
+0.0268403
+0.0261624
+0.0256377
+0.0252031
+0.0249476
+0.0247646
+0.0243431
+0.0240209
+0.0238095
+0.0236902
+0.0237483
+0.0239929
+0.0244321
+0.0249052
+0.0251573
+0.0255951
+0.0262093
+0.0269879
+0.027917
+0.0289822
+0.0301692
+0.0314641
+0.0328542
+0.0343051
+0.0358272
+0.0374158
+0.0390626
+0.0407606
+0.0425038
+0.0442867
+0.0461048
+0.0479532
+0.0492394
+0.0492588
+0.0493756
+0.0495889
+0.0498973
+0.0502813
+0.0687086
+0.068357
+0.0680741
+0.0678607
+0.0677176
+0.0676452
+0.0676437
+0.0677131
+0.0678532
+0.0680635
+0.0683435
+0.0686922
+0.0691087
+0.0695916
+0.0678724
+0.0659006
+0.0639431
+0.0620011
+0.0600763
+0.0581703
+0.056285
+0.0544225
+0.0525854
+0.0507741
+0.0489867
+0.0472333
+0.0455178
+0.0438447
+0.0422189
+0.0406463
+0.0391322
+0.0376705
+0.036277
+0.034925
+0.0336431
+0.0324522
+0.0313463
+0.0303583
+0.0295003
+0.0287837
+0.0282145
+0.0277621
+0.0274773
+0.0273406
+0.0273213
+0.0274239
+0.0271108
+0.0269687
+0.0269752
+0.0270049
+0.0267752
+0.0266925
+0.0267868
+0.0269781
+0.0272774
+0.0275778
+0.0278923
+0.028373
+0.0290115
+0.0297462
+0.0305755
+0.0296796
+0.0289024
+0.028274
+0.0277628
+0.0273562
+0.0271211
+0.0268914
+0.0264841
+0.0261883
+0.0259895
+0.0258803
+0.025934
+0.0261581
+0.0265616
+0.0270527
+0.027285
+0.0276892
+0.0282579
+0.0289814
+0.0298486
+0.0308472
+0.031965
+0.0331899
+0.0345105
+0.0359124
+0.0373691
+0.0388947
+0.0404814
+0.0421223
+0.0438113
+0.0455431
+0.0473129
+0.0491167
+0.0506611
+0.05068
+0.0507935
+0.051001
+0.0513012
+0.0516793
+0.070749
+0.0704076
+0.0701329
+0.0699259
+0.069787
+0.0697168
+0.0697153
+0.0697826
+0.0699186
+0.0701227
+0.0703945
+0.0707331
+0.0711376
+0.0707171
+0.068757
+0.0668114
+0.0648813
+0.0629683
+0.0610739
+0.0592
+0.0573486
+0.0555218
+0.053715
+0.0519364
+0.0501905
+0.0484806
+0.0468109
+0.0451856
+0.0436099
+0.0420893
+0.0406251
+0.0392182
+0.0378817
+0.0365988
+0.0353776
+0.0342289
+0.0331823
+0.0322506
+0.0314443
+0.030773
+0.0302459
+0.0298285
+0.0295636
+0.0294433
+0.0294242
+0.02953
+0.029236
+0.0291044
+0.0291031
+0.0291397
+0.0289278
+0.028854
+0.0289413
+0.0291238
+0.0294043
+0.0296294
+0.0299224
+0.0303709
+0.0309683
+0.0316678
+0.0324804
+0.0317084
+0.0309822
+0.0303968
+0.0298922
+0.029515
+0.0292971
+0.0290277
+0.0286327
+0.0283593
+0.0281711
+0.0280704
+0.0281205
+0.0283274
+0.0287004
+0.0292067
+0.0294219
+0.0297971
+0.0303263
+0.0310017
+0.0318138
+0.0327525
+0.0338074
+0.0349678
+0.0362237
+0.0375654
+0.0389729
+0.040438
+0.0419664
+0.0435514
+0.045187
+0.046868
+0.0485896
+0.0503477
+0.0521362
+0.0521546
+0.0522649
+0.0524665
+0.0527583
+0.0531305
+0.0727982
+0.0724664
+0.0721996
+0.0719985
+0.0718636
+0.0717954
+0.071794
+0.0718594
+0.0719914
+0.0721897
+0.0724537
+0.0727827
+0.0731759
+0.0716335
+0.0696993
+0.0677807
+0.065879
+0.0639958
+0.0621328
+0.0602918
+0.0584713
+0.0566727
+0.0549025
+0.0531637
+0.0514594
+0.0497931
+0.0481689
+0.0465911
+0.0450645
+0.0435946
+0.0421782
+0.0408249
+0.0395427
+0.0383248
+0.0371463
+0.0360513
+0.035059
+0.0341786
+0.0334188
+0.032788
+0.0322921
+0.0319115
+0.0316641
+0.031558
+0.0315391
+0.0316095
+0.0313703
+0.0312477
+0.0312396
+0.0312823
+0.0310851
+0.0310197
+0.0311008
+0.0312758
+0.0315364
+0.0316997
+0.0319736
+0.0323938
+0.0329545
+0.0336224
+0.0343888
+0.0337575
+0.0330763
+0.0325257
+0.0320299
+0.0316781
+0.0314752
+0.0311716
+0.0307872
+0.0305331
+0.0303541
+0.0302606
+0.0303077
+0.0304996
+0.0308464
+0.0313428
+0.0315662
+0.0319162
+0.0324109
+0.0330436
+0.0338067
+0.0346916
+0.0356892
+0.0367903
+0.0379859
+0.0392675
+0.0406268
+0.0420389
+0.0435111
+0.0450418
+0.0466251
+0.048256
+0.0499298
+0.0516422
+0.0533897
+0.0536781
+0.0537852
+0.0539811
+0.0542649
+0.0546311
+0.0748553
+0.0745327
+0.0742733
+0.0740778
+0.0739468
+0.0738805
+0.0738791
+0.0739426
+0.0740709
+0.0742637
+0.0745203
+0.0748403
+0.0745278
+0.0726046
+0.0706969
+0.0688061
+0.0669336
+0.0650809
+0.0632493
+0.0614344
+0.0596446
+0.0578824
+0.0561504
+0.0544515
+0.0527887
+0.0511658
+0.0495865
+0.0480553
+0.0465767
+0.0451556
+0.0437859
+0.0424838
+0.0412531
+0.0400908
+0.0389554
+0.0379126
+0.0369704
+0.0361365
+0.0354187
+0.0348242
+0.034352
+0.0339947
+0.0337759
+0.0336814
+0.0336636
+0.0336879
+0.0334961
+0.033397
+0.033383
+0.0334311
+0.0332466
+0.0331886
+0.0332645
+0.0334328
+0.0336562
+0.0337851
+0.0340423
+0.0344372
+0.0349652
+0.0356042
+0.036329
+0.0358234
+0.0351822
+0.0346394
+0.0341742
+0.0338447
+0.0336549
+0.0333215
+0.0329465
+0.0327092
+0.0325381
+0.0324509
+0.0324952
+0.0326744
+0.0329983
+0.0334628
+0.0337165
+0.0340444
+0.0345085
+0.0351035
+0.0358227
+0.036659
+0.0376044
+0.038651
+0.0397908
+0.041016
+0.0423192
+0.043691
+0.0451093
+0.0465875
+0.04812
+0.0497019
+0.0513285
+0.0529958
+0.0547
+0.0552464
+0.0553505
+0.0555409
+0.0558167
+0.0561764
+0.0769199
+0.0766059
+0.0763536
+0.0761635
+0.076036
+0.0759715
+0.0759702
+0.076032
+0.0761568
+0.0763442
+0.0765939
+0.0769052
+0.0755252
+0.073628
+0.0717475
+0.0698852
+0.0680423
+0.066216
+0.0644101
+0.0626288
+0.0608741
+0.0591486
+0.0574548
+0.0557955
+0.0541741
+0.0525939
+0.0510589
+0.0495731
+0.0481412
+0.0467646
+0.0454423
+0.0441891
+0.0430072
+0.0418873
+0.0408018
+0.0398075
+0.0389111
+0.0381198
+0.03744
+0.0368781
+0.036427
+0.0360902
+0.0358842
+0.0358113
+0.0357961
+0.0357798
+0.0355966
+0.0355409
+0.0355323
+0.035585
+0.0354117
+0.0353602
+0.0354314
+0.0355939
+0.0357724
+0.035883
+0.0361253
+0.0364977
+0.0369963
+0.0376025
+0.0382963
+0.0379033
+0.0372978
+0.0367621
+0.0363241
+0.0360143
+0.035836
+0.0354664
+0.0351097
+0.0348871
+0.0347229
+0.0346413
+0.0346832
+0.0348511
+0.035155
+0.0355913
+0.0358716
+0.03618
+0.0366171
+0.0371783
+0.0378582
+0.0386504
+0.0395482
+0.0405447
+0.0416327
+0.0428052
+0.0440555
+0.0453772
+0.0467555
+0.0481832
+0.0496666
+0.0512006
+0.0527811
+0.0544039
+0.0560653
+0.0568559
+0.0569571
+0.0571421
+0.0574102
+0.0577602
+0.0789912
+0.0786855
+0.0784399
+0.0782548
+0.0781308
+0.078068
+0.0780667
+0.0781268
+0.0782483
+0.0784308
+0.0786738
+0.0784594
+0.0765722
+0.0747017
+0.0728489
+0.0710136
+0.0691942
+0.0673969
+0.0656235
+0.063876
+0.0621566
+0.0604676
+0.0588118
+0.057192
+0.0556113
+0.0540731
+0.0525812
+0.0511397
+0.0497529
+0.0484182
+0.0471423
+0.0459355
+0.0447997
+0.0437197
+0.0426809
+0.0417313
+0.0408772
+0.0401246
+0.0394794
+0.0389469
+0.0385148
+0.0381965
+0.0380019
+0.037933
+0.0379353
+0.0378828
+0.0377074
+0.0376549
+0.0376863
+0.0377431
+0.0375798
+0.037534
+0.0376011
+0.0377585
+0.0378865
+0.0379915
+0.0382204
+0.0385725
+0.0390446
+0.0396198
+0.0402867
+0.039995
+0.0394217
+0.0388923
+0.0384786
+0.0381863
+0.0380181
+0.0376123
+0.037276
+0.0370665
+0.0369085
+0.0368316
+0.0368715
+0.0370295
+0.0373156
+0.037727
+0.0380309
+0.0383219
+0.0387348
+0.0392657
+0.03991
+0.0406623
+0.0415167
+0.042467
+0.0435069
+0.0446302
+0.0458307
+0.0471026
+0.0484403
+0.0498242
+0.0512601
+0.0527478
+0.0542833
+0.0558624
+0.0574817
+0.0585031
+0.0586015
+0.0587813
+0.059042
+0.0593824
+0.0810688
+0.080771
+0.0805317
+0.0803515
+0.0802307
+0.0801695
+0.0801683
+0.0802268
+0.0803451
+0.0805228
+0.0807596
+0.0795282
+0.077667
+0.0758234
+0.0739933
+0.0721825
+0.0703933
+0.0686274
+0.0668866
+0.065173
+0.0634887
+0.0618362
+0.060218
+0.058637
+0.0570963
+0.0555992
+0.0541494
+0.0527508
+0.0514054
+0.0501131
+0.0488815
+0.0477186
+0.0466262
+0.0455838
+0.0445884
+0.0436803
+0.042865
+0.042148
+0.0415342
+0.0410284
+0.0406135
+0.0403117
+0.0401274
+0.0400622
+0.04008
+0.0399952
+0.0398269
+0.0397771
+0.0398443
+0.0399048
+0.0397504
+0.0397096
+0.0397731
+0.0399259
+0.0400087
+0.0401087
+0.0403256
+0.0406595
+0.0411077
+0.0416546
+0.0422966
+0.0420967
+0.0415329
+0.0410289
+0.0406369
+0.0403603
+0.0401979
+0.039763
+0.0394451
+0.0392471
+0.0390946
+0.039022
+0.0390601
+0.0392092
+0.0394796
+0.0398686
+0.0401935
+0.0404689
+0.0408601
+0.0413638
+0.041976
+0.0426918
+0.0435064
+0.0444141
+0.0454095
+0.0464868
+0.0476406
+0.0488654
+0.050156
+0.0515061
+0.0528963
+0.0543393
+0.055831
+0.0573676
+0.0589455
+0.0601851
+0.0602807
+0.0604555
+0.060709
+0.0610401
+0.0831522
+0.0828619
+0.0826287
+0.082453
+0.0823353
+0.0822757
+0.0822745
+0.0823316
+0.0824468
+0.08262
+0.0824945
+0.0806423
+0.0788046
+0.0769823
+0.0751797
+0.0733982
+0.0716393
+0.0699049
+0.0681968
+0.0665169
+0.0648675
+0.063251
+0.06167
+0.0601272
+0.0586256
+0.0571686
+0.0557597
+0.0544012
+0.0530953
+0.0518451
+0.0506556
+0.0495345
+0.0484829
+0.0474757
+0.0465209
+0.0456512
+0.0448718
+0.0441873
+0.0436022
+0.0431177
+0.0427214
+0.0424346
+0.0422595
+0.0421976
+0.0422294
+0.0421127
+0.0419536
+0.0419064
+0.0419735
+0.0420695
+0.0419231
+0.0418869
+0.041947
+0.0420955
+0.0421379
+0.0422335
+0.0424395
+0.0427569
+0.0431833
+0.0437046
+0.0443178
+0.0442072
+0.0436502
+0.0431709
+0.0427986
+0.042536
+0.0423307
+0.0419179
+0.0416165
+0.0414288
+0.0412812
+0.0412125
+0.0412489
+0.0413901
+0.0416463
+0.0420153
+0.042359
+0.0426204
+0.0429921
+0.0434711
+0.0440539
+0.0447366
+0.0455145
+0.046383
+0.0473369
+0.0483714
+0.0494813
+0.0506616
+0.0519076
+0.0532146
+0.0545715
+0.0559713
+0.0574206
+0.0589157
+0.0604533
+0.0618988
+0.0619918
+0.0621618
+0.0624084
+0.0627305
+0.085241
+0.0849578
+0.0847304
+0.0845591
+0.0844443
+0.0843862
+0.084385
+0.0844406
+0.084553
+0.0847219
+0.083626
+0.0817938
+0.0799796
+0.0781847
+0.0764105
+0.0746583
+0.0729299
+0.0712269
+0.0695512
+0.0679049
+0.06629
+0.0647091
+0.0631645
+0.0616591
+0.0601958
+0.0587778
+0.0574079
+0.0560864
+0.0548206
+0.0536107
+0.0524613
+0.0513795
+0.0503665
+0.0493924
+0.0484753
+0.0476413
+0.046895
+0.0462404
+0.0456817
+0.045215
+0.0448372
+0.044564
+0.0443974
+0.0443384
+0.0443763
+0.0442352
+0.0440866
+0.0440416
+0.0441056
+0.0442367
+0.0440975
+0.044065
+0.0441226
+0.0442361
+0.044273
+0.0443646
+0.0445608
+0.0448632
+0.0452698
+0.0457675
+0.0463535
+0.046325
+0.0457744
+0.0453176
+0.0449631
+0.0447131
+0.044469
+0.0440763
+0.0437897
+0.0436114
+0.0434682
+0.0434029
+0.0434378
+0.043572
+0.0438154
+0.0441663
+0.0445269
+0.0447757
+0.0451296
+0.0455862
+0.0461423
+0.0467945
+0.0475388
+0.0483709
+0.0492864
+0.0502808
+0.0513494
+0.0524877
+0.0536913
+0.054956
+0.0562775
+0.0576404
+0.0590487
+0.0605036
+0.0620018
+0.0635402
+0.0637323
+0.0638977
+0.0641376
+0.064451
+0.0910107
+0.0891135
+0.0872301
+0.0853613
+0.0835082
+0.0816718
+0.0798532
+0.0780538
+0.0762749
+0.0745179
+0.0727844
+0.0710761
+0.069395
+0.067743
+0.0661223
+0.0645351
+0.0629712
+0.0614456
+0.0599613
+0.0585214
+0.0571291
+0.0557882
+0.0545024
+0.0532756
+0.0521121
+0.0510162
+0.0499923
+0.049045
+0.0481787
+0.0473979
+0.0467068
+0.0461096
+0.0456099
+0.0452102
+0.0448944
+0.0446835
+0.0445794
+0.0445828
+0.0446245
+0.0446558
+0.0447943
+0.0450315
+0.0453724
+0.0458157
+0.0463525
+0.0469598
+0.0476602
+0.0484427
+0.0492981
+0.0502345
+0.0512475
+0.0523213
+0.0532134
+0.0541789
+0.0551982
+0.0562844
+0.0574336
+0.0586198
+0.0598536
+0.0611408
+0.0624782
+0.0637636
+0.0650807
+0.0664437
+0.0678501
+0.0678314
+0.0672832
+0.0668023
+0.0663902
+0.0660483
+0.0657776
+0.065579
+0.0654532
+0.0654006
+0.0654211
+0.0655009
+0.0656537
+0.0658676
+0.0661475
+0.0664878
+0.0668981
+0.0673772
+0.0679013
+0.0684729
+0.0690948
+0.0696744
+0.0703176
+0.0710226
+0.0717875
+0.0725993
+0.0734646
+0.0743844
+0.0753566
+0.0763786
+0.0774394
+0.0785467
+0.0796988
+0.0808938
+0.0821299
+0.0834052
+0.0900327
+0.0881144
+0.0862091
+0.0843177
+0.0824412
+0.0805805
+0.0787367
+0.0769112
+0.0751052
+0.0733201
+0.0715576
+0.0698194
+0.0681073
+0.0664232
+0.0647695
+0.0631485
+0.0615628
+0.0600029
+0.058482
+0.0570047
+0.0555745
+0.0541951
+0.0528705
+0.051605
+0.050403
+0.049269
+0.0482081
+0.0472249
+0.0463246
+0.045512
+0.0447919
+0.0441688
+0.0436469
+0.043229
+0.0428986
+0.0426779
+0.0425688
+0.0425724
+0.0426168
+0.0426495
+0.0427945
+0.0430421
+0.0433987
+0.0438619
+0.0444014
+0.0450351
+0.0457638
+0.0465653
+0.0474546
+0.0484267
+0.0494767
+0.0503591
+0.0512854
+0.0522772
+0.0533329
+0.0544563
+0.0556309
+0.0568451
+0.0581166
+0.0594415
+0.060727
+0.0620313
+0.0633844
+0.0647832
+0.0662248
+0.0664568
+0.0658971
+0.0654061
+0.0649852
+0.0646358
+0.0643592
+0.0641562
+0.0640276
+0.0639738
+0.0639811
+0.0640627
+0.064207
+0.064423
+0.0647092
+0.065057
+0.0654763
+0.0659641
+0.066492
+0.0670496
+0.0675759
+0.0681684
+0.0688257
+0.0695431
+0.0703095
+0.0711352
+0.0720181
+0.0729561
+0.0739455
+0.0749764
+0.0760565
+0.0771836
+0.0783557
+0.0795709
+0.0808272
+0.0821067
+0.0890977
+0.0871589
+0.0852323
+0.0833187
+0.0814191
+0.0795345
+0.0776659
+0.0758146
+0.0739819
+0.072169
+0.0703777
+0.0686096
+0.0668665
+0.0651504
+0.0634635
+0.0618083
+0.0601873
+0.0586033
+0.0570484
+0.055533
+0.0540639
+0.0526449
+0.0512804
+0.0499746
+0.0487323
+0.0475586
+0.0464586
+0.0454376
+0.0445011
+0.0436546
+0.0429033
+0.0422524
+0.0417065
+0.0412689
+0.0409228
+0.0406913
+0.0405769
+0.0405807
+0.0406279
+0.0406622
+0.0408139
+0.0410731
+0.0414466
+0.0419159
+0.0424737
+0.0431357
+0.0438812
+0.0447165
+0.0456418
+0.0466517
+0.0475352
+0.0484164
+0.0493778
+0.050399
+0.0514932
+0.0526545
+0.0538467
+0.0551003
+0.0564112
+0.0576969
+0.0589869
+0.0603288
+0.0617193
+0.0631549
+0.0646248
+0.0651269
+0.0645557
+0.0640543
+0.0636245
+0.0632676
+0.062985
+0.0627776
+0.0626461
+0.0625778
+0.0625846
+0.0626556
+0.0628006
+0.0630215
+0.0633141
+0.0636695
+0.0640978
+0.0645759
+0.065083
+0.0655565
+0.0660947
+0.0667004
+0.0673632
+0.0680838
+0.0688664
+0.0697092
+0.0706099
+0.0715635
+0.0725621
+0.0736124
+0.0747121
+0.0758592
+0.0770515
+0.0782753
+0.0795287
+0.0807691
+0.0882073
+0.0862485
+0.0843011
+0.0823659
+0.0804438
+0.0785358
+0.0766428
+0.0747662
+0.0729071
+0.0710669
+0.069247
+0.0674493
+0.0656754
+0.0639273
+0.0622073
+0.0605177
+0.0588612
+0.0572405
+0.0556589
+0.05411
+0.0526012
+0.0511417
+0.0497359
+0.0483884
+0.0471044
+0.045889
+0.044748
+0.043687
+0.0427122
+0.0418295
+0.0410448
+0.0403639
+0.0397921
+0.0393333
+0.0389699
+0.0387268
+0.0386066
+0.0385873
+0.0386609
+0.038697
+0.0388556
+0.0391278
+0.0395171
+0.0399884
+0.0405727
+0.0412551
+0.0420285
+0.0428999
+0.0438635
+0.0447477
+0.0455776
+0.0464959
+0.047486
+0.048547
+0.049682
+0.0508603
+0.0520937
+0.0533884
+0.0546745
+0.0559484
+0.0572777
+0.0586587
+0.0600879
+0.0615527
+0.0630539
+0.063836
+0.0632531
+0.0627413
+0.0623024
+0.061938
+0.0616492
+0.0614373
+0.061299
+0.0612276
+0.0612219
+0.061292
+0.0614403
+0.061666
+0.0619637
+0.0623268
+0.0627328
+0.0630965
+0.0635337
+0.0640428
+0.0646151
+0.0652346
+0.0659211
+0.0666645
+0.0674636
+0.0683237
+0.0692382
+0.0702015
+0.0712192
+0.072289
+0.0733924
+0.0745348
+0.0757234
+0.076956
+0.0782306
+0.079468
+0.0873628
+0.0853846
+0.083417
+0.0814608
+0.0795168
+0.077586
+0.0756694
+0.073768
+0.071883
+0.0700159
+0.068168
+0.066341
+0.0645366
+0.0627569
+0.0610039
+0.05928
+0.0575879
+0.0559303
+0.0543106
+0.0527322
+0.0511905
+0.0496895
+0.0482414
+0.046851
+0.0455236
+0.0442649
+0.0430808
+0.0419778
+0.0409623
+0.040041
+0.0392206
+0.0385074
+0.0379076
+0.0374257
+0.0370436
+0.0367517
+0.0365743
+0.0365277
+0.0366123
+0.0367572
+0.0369234
+0.0372097
+0.0375942
+0.0380893
+0.0386989
+0.0394007
+0.0402098
+0.0411197
+0.0420037
+0.0427746
+0.043642
+0.0445979
+0.0456209
+0.0467243
+0.0478882
+0.0490984
+0.0503749
+0.051661
+0.0529167
+0.0542319
+0.0556023
+0.0570239
+0.0584834
+0.0599813
+0.0615209
+0.0625758
+0.061981
+0.0614587
+0.0610105
+0.0606383
+0.0603434
+0.0601268
+0.0599895
+0.0599141
+0.0599058
+0.0599775
+0.0601289
+0.0603585
+0.060652
+0.0608706
+0.0611669
+0.0615399
+0.061988
+0.0625098
+0.0630987
+0.0637329
+0.0644352
+0.0651902
+0.0660086
+0.0668887
+0.0678282
+0.0688246
+0.0698716
+0.0709355
+0.0720503
+0.0732136
+0.0744233
+0.0756771
+0.0769539
+0.0782067
+0.0865655
+0.0845686
+0.0825816
+0.0806051
+0.07864
+0.0766871
+0.0747474
+0.0728219
+0.0709119
+0.0690185
+0.0671431
+0.0652875
+0.0634532
+0.0616421
+0.0598565
+0.0580986
+0.056371
+0.0546766
+0.0530186
+0.0514004
+0.0498261
+0.0482931
+0.0468018
+0.0453673
+0.0439952
+0.0426914
+0.0414625
+0.0403152
+0.0392567
+0.0382944
+0.0374357
+0.0366879
+0.0360274
+0.0354687
+0.0350383
+0.0347215
+0.0345337
+0.0344842
+0.0345739
+0.0348014
+0.0350216
+0.0353097
+0.0357022
+0.0362232
+0.0368461
+0.0375825
+0.0384299
+0.0392941
+0.0400153
+0.0408238
+0.0417317
+0.0427191
+0.043786
+0.044933
+0.0461167
+0.0473722
+0.0486582
+0.0498933
+0.0511924
+0.0525507
+0.0539638
+0.0554172
+0.0569116
+0.0584498
+0.060025
+0.061367
+0.0607604
+0.0602275
+0.0597701
+0.0593901
+0.0590889
+0.0588678
+0.0587255
+0.0586431
+0.0586345
+0.0587078
+0.0588625
+0.0589496
+0.059109
+0.0593365
+0.0596404
+0.0600229
+0.0604823
+0.061017
+0.0616169
+0.0622662
+0.0629837
+0.0637552
+0.0645917
+0.0654909
+0.0664502
+0.0674669
+0.0685305
+0.0696149
+0.0707505
+0.0719349
+0.0731657
+0.0744329
+0.0757141
+0.0769871
+0.0858167
+0.083802
+0.0817963
+0.0798004
+0.077815
+0.0758409
+0.0738789
+0.0719302
+0.0699958
+0.0680769
+0.0661749
+0.0642913
+0.0624278
+0.0605861
+0.0587684
+0.0569769
+0.0552142
+0.0534832
+0.051787
+0.0501291
+0.0485135
+0.0469446
+0.0454223
+0.0439428
+0.0425247
+0.0411744
+0.0398987
+0.0387051
+0.0376013
+0.0365955
+0.0356487
+0.0348093
+0.0340903
+0.0334993
+0.0330432
+0.0327119
+0.0325125
+0.03246
+0.0325552
+0.0327968
+0.0331555
+0.0334319
+0.0338463
+0.0343809
+0.0350323
+0.0358061
+0.036611
+0.0373092
+0.0380491
+0.0388984
+0.0398468
+0.0408713
+0.0419852
+0.0431514
+0.0443827
+0.0456681
+0.0468796
+0.0481604
+0.049505
+0.0509083
+0.0523548
+0.053845
+0.0553818
+0.0569554
+0.0585586
+0.0601989
+0.0595954
+0.0590519
+0.0585854
+0.0581976
+0.0578903
+0.0576645
+0.0575091
+0.057426
+0.0574041
+0.0573334
+0.0573453
+0.0574256
+0.0575893
+0.0578355
+0.0581523
+0.0585444
+0.0590154
+0.0595632
+0.060176
+0.0608407
+0.0615751
+0.062364
+0.063219
+0.0641374
+0.0651166
+0.0661539
+0.0672341
+0.0683391
+0.0694955
+0.0707009
+0.0719447
+0.0732319
+0.0745181
+0.0758112
+0.0851177
+0.0830861
+0.0810627
+0.0790483
+0.0770435
+0.075049
+0.0730658
+0.0710948
+0.0691371
+0.0671937
+0.0652659
+0.0633553
+0.0614634
+0.0595919
+0.0577429
+0.0559186
+0.0541214
+0.0523543
+0.0506202
+0.0489229
+0.0472661
+0.0456543
+0.0440925
+0.0425834
+0.0411184
+0.0397203
+0.0383964
+0.0371407
+0.03594
+0.0348331
+0.033832
+0.0329464
+0.0321857
+0.0315591
+0.0310745
+0.0307272
+0.0305148
+0.0304588
+0.0305603
+0.0308175
+0.0312266
+0.0315914
+0.032026
+0.0325773
+0.033264
+0.0339986
+0.0346687
+0.0353282
+0.0361087
+0.0370027
+0.0379857
+0.039059
+0.0402062
+0.0414091
+0.0426875
+0.0438777
+0.0451373
+0.0464661
+0.0478583
+0.0492969
+0.0507824
+0.0523174
+0.0538891
+0.0554944
+0.0571377
+0.058806
+0.0584892
+0.0579354
+0.0574598
+0.0570644
+0.0567509
+0.0565143
+0.0563196
+0.0560766
+0.0559185
+0.0558459
+0.0558591
+0.055946
+0.056114
+0.0563666
+0.0566965
+0.0570987
+0.0575815
+0.0581428
+0.0587805
+0.0594617
+0.0602132
+0.0610199
+0.0618934
+0.0628312
+0.0638305
+0.0648883
+0.065981
+0.0671105
+0.0682877
+0.0695055
+0.0707693
+0.0720774
+0.073368
+0.0746811
+0.0844698
+0.0824222
+0.0803821
+0.0783502
+0.076327
+0.0743134
+0.07231
+0.0703178
+0.0683378
+0.066371
+0.0644186
+0.0624821
+0.0605629
+0.0586627
+0.0567834
+0.0549273
+0.0530966
+0.0512941
+0.049523
+0.0477867
+0.0460891
+0.0444346
+0.0428284
+0.0412759
+0.039759
+0.0382748
+0.0368611
+0.0355264
+0.0342791
+0.0331167
+0.0320621
+0.0311261
+0.0303198
+0.0296538
+0.0291376
+0.0287723
+0.0285454
+0.0284856
+0.028594
+0.0288687
+0.0293051
+0.0297881
+0.0302405
+0.0308237
+0.0314744
+0.0320739
+0.0326745
+0.0333734
+0.0341986
+0.0351362
+0.0361615
+0.0372857
+0.0384553
+0.0397113
+0.0408901
+0.0421252
+0.0434356
+0.0448149
+0.0462443
+0.0477242
+0.0492571
+0.0508266
+0.0524342
+0.0540795
+0.0557533
+0.0574618
+0.0574453
+0.0568813
+0.0563968
+0.0559831
+0.05553
+0.0551601
+0.0548753
+0.0546392
+0.0544768
+0.0544023
+0.0544159
+0.0545143
+0.0546866
+0.0549458
+0.0552892
+0.0557015
+0.0561963
+0.0567713
+0.0574242
+0.0581326
+0.0589013
+0.0597258
+0.060618
+0.0615753
+0.0625946
+0.0636466
+0.0647518
+0.0658999
+0.0670983
+0.0683461
+0.0696404
+0.0709719
+0.0722661
+0.0735988
+0.0838741
+0.0818116
+0.0797559
+0.0777076
+0.0756672
+0.0736355
+0.0716132
+0.0696011
+0.0676001
+0.0656111
+0.0636355
+0.0616744
+0.0597292
+0.0578016
+0.0558934
+0.0540067
+0.0521437
+0.0503071
+0.0484999
+0.0467256
+0.044988
+0.0432915
+0.0416352
+0.039981
+0.0383805
+0.0368409
+0.0353699
+0.0339767
+0.032671
+0.0314592
+0.0303471
+0.0293565
+0.0285002
+0.0277905
+0.0272391
+0.0268536
+0.0266106
+0.0265464
+0.0266627
+0.0269571
+0.0274129
+0.0280106
+0.0285116
+0.0290614
+0.0295477
+0.0301059
+0.0307071
+0.0314498
+0.0323241
+0.0333001
+0.0343801
+0.0355259
+0.0367515
+0.0379203
+0.0391264
+0.0404154
+0.0417795
+0.0431982
+0.0446716
+0.0462019
+0.0477688
+0.0493787
+0.0510261
+0.0527058
+0.0544218
+0.0561708
+0.0562577
+0.0556261
+0.0550632
+0.0545465
+0.0540812
+0.0537014
+0.0534088
+0.0531991
+0.0530673
+0.0529917
+0.0530057
+0.0531102
+0.0533045
+0.0535749
+0.0539283
+0.0543518
+0.0548587
+0.0554476
+0.0561159
+0.0568569
+0.0576428
+0.0584853
+0.0593961
+0.0603633
+0.0613714
+0.06244
+0.063566
+0.0647315
+0.0659486
+0.0672152
+0.0685283
+0.0698808
+0.0712145
+0.072566
+0.0833308
+0.0812554
+0.0791853
+0.0771218
+0.0750656
+0.0730172
+0.0709772
+0.0689465
+0.066926
+0.0649164
+0.0629189
+0.0609347
+0.0589652
+0.0570118
+0.0550762
+0.0531605
+0.0512667
+0.0493976
+0.0475558
+0.0457449
+0.0439685
+0.0421899
+0.0404398
+0.0387346
+0.0370804
+0.0354843
+0.0339547
+0.0325008
+0.0311333
+0.029864
+0.028692
+0.0276422
+0.026731
+0.0259731
+0.0253822
+0.0249701
+0.0247164
+0.0246473
+0.0247725
+0.0250891
+0.0255608
+0.0262008
+0.0267897
+0.0271403
+0.0276461
+0.0281295
+0.028772
+0.0295633
+0.030485
+0.0315093
+0.0326278
+0.0338165
+0.0349657
+0.0361445
+0.0374079
+0.038754
+0.0401601
+0.0416257
+0.0431528
+0.0447164
+0.0463289
+0.0479785
+0.0496646
+0.0513887
+0.0531473
+0.0549369
+0.0547551
+0.0541288
+0.0535752
+0.0530783
+0.0526585
+0.0522938
+0.0519933
+0.0517803
+0.0516449
+0.0516022
+0.0516477
+0.0517549
+0.0519543
+0.0522437
+0.0526069
+0.0530575
+0.0535772
+0.0541801
+0.0548638
+0.0556255
+0.0564413
+0.0573016
+0.0582072
+0.0591709
+0.0601989
+0.0612861
+0.0624194
+0.0636054
+0.0648437
+0.0661314
+0.0674656
+0.068842
+0.0702125
+0.0715763
+0.0828204
+0.0807368
+0.0786591
+0.0765876
+0.0745229
+0.0724598
+0.0704037
+0.068356
+0.0663174
+0.0642888
+0.0622712
+0.0602657
+0.0582735
+0.0562961
+0.0543351
+0.0523922
+0.0504697
+0.0485699
+0.0466955
+0.0448137
+0.0429584
+0.0411275
+0.0393302
+0.0375746
+0.035867
+0.0342144
+0.0326252
+0.0311093
+0.0296777
+0.0283433
+0.0271057
+0.0259919
+0.0250207
+0.0242093
+0.0235742
+0.0231299
+0.0228558
+0.022781
+0.0229165
+0.0232583
+0.0237664
+0.0244534
+0.0248861
+0.0252631
+0.0256618
+0.0261819
+0.0268711
+0.0277167
+0.0286857
+0.02977
+0.0309134
+0.0320266
+0.0331838
+0.0344165
+0.035741
+0.0371319
+0.0385882
+0.0401105
+0.0416709
+0.0432859
+0.0449377
+0.0466309
+0.048364
+0.0501329
+0.0519339
+0.053764
+0.0533003
+0.0526567
+0.0520923
+0.0516019
+0.0511985
+0.0508577
+0.0506044
+0.0504167
+0.0502777
+0.0502339
+0.0502856
+0.0504324
+0.0506628
+0.0509608
+0.0513446
+0.0518062
+0.052352
+0.0529692
+0.0536688
+0.0544476
+0.0552942
+0.0561393
+0.0570539
+0.0580367
+0.0590801
+0.0601752
+0.0613291
+0.0625357
+0.0637948
+0.0651032
+0.0664581
+0.0678555
+0.0692584
+0.0706406
+0.0814365
+0.0801965
+0.0781796
+0.076095
+0.0740167
+0.0719449
+0.0698805
+0.0678239
+0.0657761
+0.0637304
+0.0616945
+0.0596697
+0.0576569
+0.0556576
+0.0536732
+0.0517055
+0.0497358
+0.0477704
+0.0458255
+0.0439038
+0.0420084
+0.0401431
+0.0383121
+0.0365094
+0.0347494
+0.033041
+0.0313925
+0.029814
+0.028317
+0.0269152
+0.0256087
+0.0244267
+0.0233906
+0.0225205
+0.0218363
+0.021356
+0.0210587
+0.0209776
+0.0211246
+0.021495
+0.0220438
+0.0227659
+0.0230188
+0.0233228
+0.0237033
+0.0242655
+0.0250075
+0.025914
+0.0269376
+0.028052
+0.0291205
+0.0302507
+0.0314457
+0.0327439
+0.0341162
+0.035561
+0.0370749
+0.0386337
+0.0402513
+0.0419054
+0.0436062
+0.045349
+0.0471293
+0.0489428
+0.0507862
+0.0526312
+0.0518859
+0.0512235
+0.0506473
+0.0501513
+0.0497383
+0.049419
+0.0491809
+0.0490163
+0.0489493
+0.0489254
+0.0489785
+0.0491293
+0.0493769
+0.0497039
+0.0501156
+0.0506034
+0.0511665
+0.0518079
+0.052523
+0.0533185
+0.0541698
+0.0550299
+0.0559625
+0.0569572
+0.0580097
+0.0591247
+0.0602987
+0.0615255
+0.0628048
+0.0641335
+0.0655084
+0.0669258
+0.068351
+0.0696455
+0.0799197
+0.0786616
+0.0774392
+0.0756627
+0.0735721
+0.0714875
+0.0694095
+0.0673386
+0.0652755
+0.0632209
+0.0611759
+0.0591412
+0.0571177
+0.055091
+0.0530527
+0.051027
+0.0490156
+0.0470201
+0.0450429
+0.0430862
+0.0411532
+0.0392472
+0.0373725
+0.0355339
+0.0337365
+0.0319749
+0.0302684
+0.0286279
+0.0270654
+0.0255952
+0.0242175
+0.022964
+0.0218587
+0.020925
+0.0201869
+0.0196662
+0.019343
+0.0192547
+0.0194147
+0.0198118
+0.0203969
+0.0208874
+0.021052
+0.0213822
+0.0217891
+0.0223993
+0.0232011
+0.024163
+0.0252466
+0.0262584
+0.027345
+0.0285021
+0.0297674
+0.0311167
+0.0325472
+0.0340506
+0.035607
+0.0372247
+0.0388834
+0.0405926
+0.0423462
+0.0441388
+0.0459659
+0.0478236
+0.0497085
+0.0512844
+0.0505192
+0.0498386
+0.0492462
+0.0487451
+0.048331
+0.0480024
+0.0477694
+0.0476194
+0.0475698
+0.0476091
+0.0477249
+0.0478909
+0.0481357
+0.0484683
+0.048897
+0.0494191
+0.0500151
+0.0506929
+0.0514411
+0.0522569
+0.0531096
+0.0539865
+0.0549271
+0.055932
+0.0570035
+0.0581378
+0.0593313
+0.0605777
+0.0618766
+0.0632248
+0.064605
+0.0658274
+0.0670932
+0.0683879
+0.0783731
+0.0771057
+0.0758804
+0.0746963
+0.0731905
+0.0710947
+0.0690048
+0.0669214
+0.064845
+0.0627764
+0.0607164
+0.0586658
+0.0565929
+0.0545274
+0.0524696
+0.0504206
+0.0483839
+0.0463613
+0.0443546
+0.0423662
+0.0403988
+0.0384554
+0.0365401
+0.0346574
+0.0328129
+0.0310136
+0.0292651
+0.0275651
+0.0259387
+0.0244007
+0.0229514
+0.0216247
+0.0204471
+0.0194458
+0.0186491
+0.0180843
+0.0177284
+0.017632
+0.0178066
+0.018224
+0.0188422
+0.0189577
+0.0191339
+0.0194913
+0.0199319
+0.0205972
+0.0214664
+0.0224847
+0.0234562
+0.0244713
+0.0255949
+0.0268185
+0.0281386
+0.0295509
+0.0310409
+0.0325937
+0.0342101
+0.0358744
+0.0375928
+0.039358
+0.0411642
+0.0430062
+0.0448794
+0.0467784
+0.0486986
+0.0499554
+0.0491797
+0.0484815
+0.0478734
+0.0473589
+0.0469411
+0.0466039
+0.0463466
+0.0461919
+0.0461408
+0.0461937
+0.0463501
+0.0466091
+0.0469302
+0.047291
+0.0477411
+0.0482757
+0.0489027
+0.0496101
+0.0503802
+0.051227
+0.0521199
+0.0530004
+0.0539523
+0.0549751
+0.0560648
+0.0572177
+0.05843
+0.0596953
+0.061013
+0.062161
+0.0633502
+0.0645746
+0.0658311
+0.0671242
+0.0768542
+0.0755614
+0.0743106
+0.0731041
+0.0719441
+0.0707676
+0.0686677
+0.0665738
+0.0644862
+0.0624057
+0.0603055
+0.0582068
+0.0561152
+0.0540315
+0.0519565
+0.0498915
+0.0478376
+0.0457964
+0.0437654
+0.0417489
+0.0397509
+0.0377742
+0.0358225
+0.0339
+0.0320119
+0.0301648
+0.0283666
+0.0266274
+0.0249539
+0.0233411
+0.021819
+0.0204188
+0.0191672
+0.0180952
+0.0172363
+0.0166235
+0.0162491
+0.0161438
+0.0163287
+0.0167497
+0.0169596
+0.017091
+0.0172806
+0.0176643
+0.0181492
+0.0188774
+0.0198098
+0.0207382
+0.0216596
+0.022737
+0.0239061
+0.0251895
+0.0265779
+0.0280503
+0.0295979
+0.0312119
+0.032882
+0.0346102
+0.0363883
+0.0382093
+0.0400673
+0.0419561
+0.0438686
+0.0457154
+0.0475871
+0.0486374
+0.0478404
+0.0471318
+0.0465157
+0.0459866
+0.0455563
+0.0452264
+0.0449819
+0.0448261
+0.0447735
+0.044828
+0.0449892
+0.045256
+0.0456265
+0.0460916
+0.046622
+0.047189
+0.0478443
+0.0485758
+0.0493767
+0.0502468
+0.0511889
+0.0520818
+0.0530502
+0.05409
+0.0551972
+0.0563679
+0.0575178
+0.05866
+0.0597709
+0.060912
+0.062087
+0.0633065
+0.0645774
+0.0658732
+0.0753684
+0.0740496
+0.0727729
+0.0715405
+0.0703547
+0.0692176
+0.0681215
+0.0662624
+0.0641774
+0.062055
+0.0599376
+0.0578256
+0.0557197
+0.0536205
+0.0515291
+0.0494462
+0.047373
+0.0453109
+0.0432614
+0.0412264
+0.0392083
+0.0372096
+0.0352268
+0.0332698
+0.0313438
+0.0294549
+0.0276105
+0.0258203
+0.0240903
+0.0224213
+0.0208491
+0.0193835
+0.0180604
+0.0169184
+0.0159964
+0.0153202
+0.0148896
+0.0147747
+0.0149536
+0.0150474
+0.0151466
+0.0153104
+0.0155156
+0.0159292
+0.0164652
+0.0172646
+0.018115
+0.0189235
+0.0199351
+0.021032
+0.0222745
+0.0236371
+0.0250859
+0.0266256
+0.0282352
+0.0299111
+0.0316499
+0.0334419
+0.0352789
+0.0371537
+0.0390557
+0.0408822
+0.042741
+0.0446298
+0.0465452
+0.0473755
+0.0465656
+0.0458373
+0.0452035
+0.0446673
+0.0442241
+0.043886
+0.0436449
+0.0435019
+0.043469
+0.0435297
+0.0436957
+0.0439703
+0.0443516
+0.0448231
+0.0453886
+0.0460514
+0.0468075
+0.0475741
+0.048409
+0.0493272
+0.0503028
+0.0511706
+0.0520667
+0.0530383
+0.0540812
+0.0551913
+0.0563648
+0.0574254
+0.0584962
+0.0596283
+0.0608183
+0.0620627
+0.0633407
+0.0646251
+0.0739156
+0.0725726
+0.0712694
+0.0700105
+0.0687983
+0.0676354
+0.0665209
+0.0654526
+0.0638382
+0.0617681
+0.0596479
+0.0575253
+0.0554079
+0.0532966
+0.0511918
+0.0490946
+0.047006
+0.044927
+0.0428592
+0.0408042
+0.038764
+0.0367412
+0.0347388
+0.0327605
+0.0308109
+0.0288939
+0.0270113
+0.0251786
+0.0234
+0.021678
+0.0200475
+0.018533
+0.0171554
+0.0159487
+0.0149671
+0.0142012
+0.0137356
+0.0135569
+0.0133473
+0.0133034
+0.0134464
+0.0136066
+0.0138511
+0.0142975
+0.0149072
+0.0156456
+0.0162991
+0.0171932
+0.0182307
+0.0194145
+0.0207354
+0.0221582
+0.0236855
+0.0252877
+0.0269688
+0.0287187
+0.0305255
+0.0323797
+0.0342661
+0.0360667
+0.0379083
+0.0397854
+0.0416931
+0.0436273
+0.0455848
+0.046101
+0.0453221
+0.0446128
+0.0439614
+0.0434109
+0.0429577
+0.0426095
+0.0423718
+0.0422317
+0.0421978
+0.0422776
+0.0424704
+0.0427583
+0.0431503
+0.0436278
+0.0442085
+0.0448888
+0.0456642
+0.0465298
+0.0474809
+0.0483785
+0.0491305
+0.0499672
+0.0508846
+0.0518671
+0.0528981
+0.0539983
+0.0551
+0.0561297
+0.0572247
+0.0583815
+0.0595963
+0.0608185
+0.0620682
+0.0633493
+0.0724887
+0.0711303
+0.0698022
+0.0685164
+0.0672773
+0.0660876
+0.0649501
+0.0638603
+0.0628231
+0.0614719
+0.0593992
+0.0573072
+0.0551815
+0.0530611
+0.0509467
+0.0488389
+0.0467388
+0.0446474
+0.042566
+0.0404962
+0.0384397
+0.0363989
+0.0343765
+0.032376
+0.0304018
+0.0284593
+0.0265522
+0.0246848
+0.0228749
+0.0211351
+0.0194607
+0.0178966
+0.0164614
+0.0151827
+0.014125
+0.0132903
+0.0125647
+0.0119884
+0.0117582
+0.0117103
+0.0118944
+0.0120511
+0.0123272
+0.0128267
+0.01331
+0.0138693
+0.0145865
+0.0155425
+0.0166398
+0.0178975
+0.0192837
+0.0207907
+0.0223809
+0.0240657
+0.0258264
+0.0276487
+0.0295002
+0.0312769
+0.0330951
+0.0349561
+0.0368533
+0.0387814
+0.0407361
+0.0427137
+0.0447112
+0.0448458
+0.0440448
+0.0433335
+0.0427173
+0.0422059
+0.0417679
+0.0414097
+0.0411651
+0.041036
+0.0410043
+0.0410864
+0.0412847
+0.0415976
+0.0420099
+0.0425118
+0.0431076
+0.043805
+0.0445992
+0.0454851
+0.0463589
+0.047173
+0.0479249
+0.0487615
+0.0496638
+0.0506449
+0.0517003
+0.0528254
+0.0538363
+0.0548909
+0.0560027
+0.0571264
+0.058298
+0.059506
+0.0607647
+0.0620585
+0.0710602
+0.0697041
+0.0683719
+0.0670605
+0.0657941
+0.0645771
+0.0634124
+0.0623031
+0.0612408
+0.0602383
+0.0590357
+0.0569586
+0.0548903
+0.0528319
+0.0507846
+0.0486766
+0.0465705
+0.0444725
+0.0423836
+0.0403049
+0.0382383
+0.0361861
+0.0341511
+0.0321367
+0.0301468
+0.0281867
+0.0262598
+0.02437
+0.0225348
+0.0207687
+0.0190806
+0.0174614
+0.0159789
+0.0146431
+0.0133755
+0.0121657
+0.0112389
+0.0106307
+0.0103798
+0.0103378
+0.0105435
+0.0107198
+0.0109516
+0.0110908
+0.0116105
+0.0122117
+0.0130181
+0.0139898
+0.0151619
+0.0164904
+0.0179579
+0.0195331
+0.0212177
+0.0229771
+0.0247698
+0.026527
+0.0283112
+0.0301491
+0.0320313
+0.0339506
+0.035901
+0.0378777
+0.0398767
+0.0418949
+0.0439296
+0.0436397
+0.0428414
+0.0421098
+0.0414755
+0.0409486
+0.0405335
+0.0402123
+0.0400068
+0.0399093
+0.0398928
+0.0399771
+0.0401809
+0.0405022
+0.0409284
+0.0414537
+0.0420865
+0.0428052
+0.0435833
+0.0443578
+0.0451904
+0.0459308
+0.0467026
+0.0475604
+0.0484851
+0.0494895
+0.050569
+0.0515818
+0.0525871
+0.0536089
+0.0546796
+0.0557967
+0.0569762
+0.0582012
+0.0594719
+0.0607746
+0.0695665
+0.0682641
+0.0669469
+0.0656358
+0.0643456
+0.0631052
+0.0619141
+0.0607774
+0.0596969
+0.058668
+0.057704
+0.0564304
+0.054344
+0.052264
+0.0501935
+0.0481337
+0.0460859
+0.0440519
+0.0420335
+0.0400277
+0.0380397
+0.0360461
+0.0340451
+0.0320259
+0.0300307
+0.0280647
+0.0261344
+0.0242478
+0.0224048
+0.0206189
+0.0188778
+0.017159
+0.0154819
+0.0138812
+0.0124403
+0.0111833
+0.0101923
+0.00951893
+0.00905237
+0.00901068
+0.00929458
+0.00940277
+0.00931654
+0.00947743
+0.0100806
+0.0107437
+0.0115521
+0.0125938
+0.0137883
+0.0152037
+0.0167479
+0.0184134
+0.02012
+0.0218265
+0.0235744
+0.0253771
+0.0272368
+0.0291425
+0.0310857
+0.03306
+0.0350599
+0.0370815
+0.0391212
+0.0411764
+0.043245
+0.0424505
+0.0416581
+0.0409643
+0.0403145
+0.0397723
+0.0393447
+0.0390138
+0.0388019
+0.038713
+0.038748
+0.0389065
+0.0391482
+0.0394779
+0.0399242
+0.0404753
+0.0411239
+0.0417506
+0.0424085
+0.0431676
+0.043968
+0.0447613
+0.045543
+0.046399
+0.0473265
+0.0483356
+0.0494047
+0.050297
+0.0512572
+0.0522763
+0.0533539
+0.0544925
+0.0556759
+0.0569187
+0.0582022
+0.0595067
+0.0681031
+0.0667797
+0.0654952
+0.0642165
+0.0629297
+0.0616622
+0.0604461
+0.0592861
+0.0581849
+0.0571386
+0.0561483
+0.0552272
+0.0538662
+0.0517714
+0.0496849
+0.0476077
+0.0455393
+0.0434797
+0.0414335
+0.0394029
+0.0373904
+0.035399
+0.0334266
+0.0314511
+0.0295004
+0.0275856
+0.025715
+0.0238947
+0.0220613
+0.0202022
+0.0183787
+0.0165545
+0.0148298
+0.0132346
+0.0117563
+0.0104396
+0.00910325
+0.00803925
+0.00748096
+0.0074324
+0.00777412
+0.00794849
+0.00791855
+0.00810722
+0.00880477
+0.00946066
+0.0102561
+0.0112763
+0.0125863
+0.0140704
+0.0156229
+0.017218
+0.0189201
+0.0206644
+0.022487
+0.0243703
+0.0263013
+0.0282701
+0.0302694
+0.0322936
+0.0343382
+0.0363999
+0.0384757
+0.0405637
+0.0422554
+0.0413433
+0.0405292
+0.0398191
+0.0391848
+0.0386507
+0.0382348
+0.0379041
+0.037686
+0.0375944
+0.0376304
+0.0377936
+0.0380823
+0.0384937
+0.0390075
+0.0394684
+0.0399904
+0.0405848
+0.0412612
+0.0420177
+0.0427876
+0.0435536
+0.0443456
+0.0452149
+0.0461464
+0.0471614
+0.0480829
+0.0489798
+0.0499364
+0.0509612
+0.0520535
+0.0532005
+0.0544116
+0.0556826
+0.0569613
+0.0582821
+0.0666732
+0.0653236
+0.0640204
+0.0627571
+0.0615194
+0.0602588
+0.0590195
+0.0578308
+0.0567018
+0.055635
+0.0546345
+0.0536892
+0.052816
+0.0513608
+0.0492569
+0.0471609
+0.0450739
+0.0429972
+0.0409324
+0.0388814
+0.036845
+0.0348224
+0.0328215
+0.0308463
+0.0289023
+0.0269632
+0.0250462
+0.0231776
+0.0213703
+0.0195613
+0.0178209
+0.0160825
+0.0144152
+0.0128209
+0.0112419
+0.00952776
+0.00804808
+0.00692219
+0.00626825
+0.00621906
+0.00630286
+0.00668233
+0.00689909
+0.00714087
+0.00785179
+0.00839691
+0.00910786
+0.0102322
+0.0114159
+0.012811
+0.0143981
+0.0160634
+0.017818
+0.0196604
+0.021568
+0.023525
+0.02552
+0.0275447
+0.0295931
+0.0316606
+0.0337435
+0.0358394
+0.037946
+0.0400615
+0.0411929
+0.0402933
+0.0394811
+0.0387605
+0.0381259
+0.0375768
+0.0371489
+0.0368465
+0.036652
+0.0365578
+0.0365948
+0.0367625
+0.0370592
+0.0374817
+0.0379033
+0.0383382
+0.0388301
+0.0394098
+0.0400365
+0.0407714
+0.0416088
+0.0423836
+0.0431797
+0.0440454
+0.0450011
+0.0459598
+0.0467745
+0.0476668
+0.0486407
+0.0496874
+0.0507934
+0.0519683
+0.0532074
+0.0544595
+0.0557105
+0.0570179
+0.0651315
+0.0639066
+0.0625739
+0.0612906
+0.060054
+0.0588618
+0.0576264
+0.056423
+0.0552653
+0.0541714
+0.0531434
+0.0521871
+0.0512972
+0.0502915
+0.0489235
+0.0468125
+0.0447092
+0.0426148
+0.0405305
+0.038458
+0.0363994
+0.0343572
+0.0323344
+0.0303348
+0.0283629
+0.0264177
+0.024514
+0.0226462
+0.0207928
+0.0190113
+0.0172565
+0.0155668
+0.0140023
+0.0124617
+0.0108469
+0.00906352
+0.00749291
+0.00627631
+0.0055751
+0.00476541
+0.004542
+0.00499068
+0.0056689
+0.00602869
+0.00656335
+0.00701788
+0.00782436
+0.00885354
+0.0101561
+0.0117024
+0.013315
+0.0150713
+0.0169291
+0.0188585
+0.0208396
+0.0228591
+0.0249074
+0.0269782
+0.0290665
+0.0311689
+0.0332827
+0.0354034
+0.0375251
+0.0396543
+0.0401434
+0.0392532
+0.0384414
+0.0377044
+0.0370717
+0.0365596
+0.0361632
+0.0358525
+0.0356635
+0.0355929
+0.035653
+0.0358251
+0.0361295
+0.0364292
+0.0367511
+0.0371601
+0.0376545
+0.0381847
+0.0388313
+0.0395888
+0.0404482
+0.041229
+0.0419758
+0.0428218
+0.0437612
+0.0446676
+0.045495
+0.046411
+0.0474014
+0.0484606
+0.0495939
+0.050791
+0.0519758
+0.053195
+0.054454
+0.0557484
+0.0636136
+0.0623829
+0.0611717
+0.0598583
+0.0585975
+0.0573908
+0.0562292
+0.0550425
+0.053877
+0.0527571
+0.0517021
+0.0507111
+0.0497635
+0.0487353
+0.04772
+0.0465647
+0.0444497
+0.0423424
+0.040244
+0.038156
+0.0360801
+0.0340187
+0.0319745
+0.029951
+0.0279526
+0.0259854
+0.0240568
+0.0221769
+0.0203259
+0.0184995
+0.0167606
+0.0151394
+0.0136349
+0.0121504
+0.0105435
+0.00890683
+0.00740806
+0.0062024
+0.00469607
+0.00353139
+0.00325608
+0.00376963
+0.00451337
+0.00486161
+0.00533648
+0.00588492
+0.00669055
+0.00777944
+0.00920431
+0.0107585
+0.01249
+0.0143476
+0.0162882
+0.0182853
+0.0203224
+0.0223862
+0.0244625
+0.0265571
+0.0286661
+0.0307852
+0.032913
+0.0350486
+0.0371905
+0.0393378
+0.0391069
+0.0381922
+0.0373836
+0.0366832
+0.0360821
+0.0355699
+0.0351625
+0.0348695
+0.0347126
+0.0346824
+0.0347481
+0.0348768
+0.0349775
+0.0352064
+0.0355057
+0.0359289
+0.0364269
+0.0369764
+0.0376436
+0.0384243
+0.039267
+0.0399311
+0.0407024
+0.0415611
+0.0424963
+0.0434198
+0.0442705
+0.0451962
+0.0462021
+0.0472843
+0.0484125
+0.0495372
+0.050723
+0.0519412
+0.0532065
+0.0545127
+0.0621328
+0.0608775
+0.0596661
+0.058473
+0.0571816
+0.0559462
+0.0547706
+0.0536303
+0.0524575
+0.0513182
+0.0502431
+0.0492303
+0.04828
+0.0472217
+0.0461811
+0.0452134
+0.0442834
+0.0421696
+0.0400642
+0.0379683
+0.0358839
+0.0338128
+0.0317578
+0.029722
+0.0277089
+0.0257216
+0.0237572
+0.0218359
+0.0199702
+0.0181771
+0.0163741
+0.0145854
+0.012921
+0.0113669
+0.00993738
+0.00861901
+0.00738498
+0.00597923
+0.00431407
+0.0030994
+0.00274872
+0.00305965
+0.00346258
+0.00410347
+0.00441546
+0.00507396
+0.0059174
+0.00704967
+0.00843844
+0.0101151
+0.0119584
+0.0138795
+0.0158593
+0.0178884
+0.0199516
+0.0220395
+0.0241456
+0.0262655
+0.0283962
+0.0305341
+0.0326782
+0.0348281
+0.0369828
+0.0391415
+0.0381362
+0.0371976
+0.0363669
+0.0356517
+0.0350546
+0.0345768
+0.0341929
+0.0339305
+0.0337692
+0.0337403
+0.0336978
+0.0336803
+0.0337569
+0.033975
+0.0343317
+0.0347923
+0.0352801
+0.0358471
+0.036535
+0.0373389
+0.0379862
+0.0386633
+0.0394123
+0.0402667
+0.0412041
+0.0422281
+0.0430999
+0.0440333
+0.0450239
+0.046076
+0.0471503
+0.0482917
+0.0494925
+0.0507089
+0.0519843
+0.0533191
+0.0606507
+0.0594018
+0.0581675
+0.05698
+0.0557904
+0.0545496
+0.0533432
+0.0522009
+0.0510663
+0.0499221
+0.0488214
+0.0477793
+0.0467207
+0.0456572
+0.044652
+0.0436869
+0.0427782
+0.041942
+0.0399917
+0.0378918
+0.0358029
+0.0337268
+0.031666
+0.0296167
+0.0275849
+0.0255795
+0.023607
+0.0216764
+0.0196867
+0.0177425
+0.0158626
+0.0140405
+0.012327
+0.0107662
+0.00936222
+0.00816198
+0.00716913
+0.00578977
+0.00445798
+0.00324661
+0.0016069
+0.00128201
+0.00205483
+0.003134
+0.00410945
+0.0046253
+0.00547465
+0.00665059
+0.00813866
+0.00984704
+0.011717
+0.0136688
+0.0156753
+0.0177254
+0.0198056
+0.0219074
+0.0240251
+0.0261548
+0.0282938
+0.0304388
+0.0325892
+0.0347447
+0.0369043
+0.0382652
+0.0372492
+0.0363081
+0.0354566
+0.0347226
+0.0341118
+0.03363
+0.0332815
+0.0329321
+0.0326808
+0.0325346
+0.0324512
+0.0324645
+0.032544
+0.0327701
+0.0331397
+0.0336097
+0.0341498
+0.0347583
+0.0354666
+0.0361854
+0.0367242
+0.0373838
+0.038158
+0.0390296
+0.0399893
+0.0410435
+0.0419281
+0.042836
+0.0437901
+0.0448151
+0.0459177
+0.0470825
+0.0482796
+0.0495207
+0.0508259
+0.0521777
+0.0591953
+0.0579439
+0.0567042
+0.0554954
+0.0543278
+0.0531479
+0.0519689
+0.0507957
+0.0496915
+0.048547
+0.0474362
+0.0463803
+0.0452138
+0.044114
+0.0430976
+0.0421523
+0.041245
+0.040433
+0.0396665
+0.0379278
+0.0358309
+0.0337459
+0.0316752
+0.0295977
+0.0275125
+0.025445
+0.0233999
+0.0213838
+0.0194054
+0.0174778
+0.0155699
+0.0137422
+0.0120098
+0.0104328
+0.00906589
+0.00797449
+0.00702277
+0.00563842
+0.00474454
+0.00279215
+0.000973712
+0.000627301
+0.00178566
+0.00277216
+0.00397225
+0.00477513
+0.00554313
+0.00674491
+0.00825898
+0.00998564
+0.0118387
+0.0137912
+0.0157958
+0.0178321
+0.0199012
+0.0219938
+0.0241039
+0.0262272
+0.0283608
+0.0305011
+0.0326474
+0.0347992
+0.0369556
+0.0372577
+0.0363434
+0.0354647
+0.0346196
+0.033894
+0.0331968
+0.0325652
+0.032071
+0.0317207
+0.0314555
+0.0312271
+0.0311506
+0.0311753
+0.0312585
+0.0314942
+0.0318791
+0.0324078
+0.0329616
+0.033621
+0.0343802
+0.0349372
+0.0354949
+0.036177
+0.0369764
+0.0378718
+0.03886
+0.0398472
+0.0406584
+0.0415693
+0.0425512
+0.0436009
+0.0447198
+0.0458885
+0.0471113
+0.0483598
+0.0496649
+0.0510307
+0.0577614
+0.0565037
+0.0552782
+0.0540496
+0.0528698
+0.0517038
+0.0505547
+0.0494424
+0.0483127
+0.0472282
+0.0460682
+0.0449531
+0.0437636
+0.0426275
+0.0415748
+0.040613
+0.03973
+0.0388967
+0.038164
+0.0375091
+0.0358825
+0.033759
+0.0316447
+0.0295416
+0.0274521
+0.0253797
+0.0233289
+0.021306
+0.0193197
+0.0173826
+0.0154862
+0.0136704
+0.0119806
+0.0104212
+0.00906603
+0.00790845
+0.00656036
+0.00540256
+0.00447874
+0.00282887
+0.0018665
+0.00120695
+0.00114594
+0.00232415
+0.00373622
+0.00471791
+0.00615448
+0.00727822
+0.00876537
+0.0104294
+0.0122601
+0.0141787
+0.0161578
+0.0181704
+0.0202056
+0.0222702
+0.0243569
+0.0264604
+0.028577
+0.0305716
+0.0325267
+0.0345102
+0.0365173
+0.0361347
+0.0351914
+0.034362
+0.033655
+0.032836
+0.032081
+0.0314466
+0.0309236
+0.0304989
+0.0302211
+0.0300142
+0.0299409
+0.0299266
+0.0300442
+0.0302989
+0.0306987
+0.0312474
+0.0318336
+0.0325162
+0.0333009
+0.0337813
+0.0343578
+0.0350619
+0.0358788
+0.0367901
+0.0378065
+0.0385827
+0.0394205
+0.0403392
+0.0413286
+0.042393
+0.0435164
+0.0447119
+0.0459276
+0.0471983
+0.0485346
+0.0499313
+0.0562468
+0.0550473
+0.0538558
+0.0526475
+0.0514446
+0.050298
+0.0491351
+0.0480205
+0.0469682
+0.0459045
+0.0447277
+0.0435132
+0.0423217
+0.0411987
+0.0401085
+0.0391107
+0.0381976
+0.0373827
+0.03666
+0.0360152
+0.0354731
+0.0338513
+0.0317417
+0.0296432
+0.0275591
+0.0254928
+0.0234491
+0.0214345
+0.0194579
+0.0175324
+0.0156529
+0.0138537
+0.0121534
+0.0105554
+0.00920482
+0.00770649
+0.00632966
+0.00536794
+0.00447942
+0.00326963
+0.00228811
+0.000999078
+0.00126615
+0.0017091
+0.00285488
+0.0041714
+0.00579525
+0.00769136
+0.009331
+0.0111214
+0.0129322
+0.0147942
+0.0167213
+0.0186709
+0.0205611
+0.0223449
+0.0241956
+0.0260821
+0.0280079
+0.0299701
+0.0319454
+0.0338704
+0.0358223
+0.0349926
+0.0340994
+0.0332746
+0.032544
+0.0317476
+0.0309589
+0.0302899
+0.0297263
+0.0293002
+0.0290173
+0.0288166
+0.0287457
+0.0287039
+0.0288264
+0.0291138
+0.0295612
+0.0301487
+0.0307171
+0.0314214
+0.032224
+0.0327313
+0.033326
+0.0340437
+0.0348654
+0.0358025
+0.0365911
+0.0373814
+0.0382209
+0.0391439
+0.0401435
+0.0412234
+0.0423546
+0.0435649
+0.0448102
+0.0461117
+0.0474714
+0.0488581
+0.0547316
+0.0535394
+0.0523739
+0.051226
+0.0500591
+0.0488972
+0.0477702
+0.0466308
+0.0455561
+0.044555
+0.0434452
+0.0421381
+0.0409065
+0.0397471
+0.0386717
+0.0376691
+0.0367254
+0.035877
+0.035145
+0.0345366
+0.0340043
+0.0335774
+0.0319619
+0.0298788
+0.0278123
+0.0257635
+0.0237209
+0.0217035
+0.0197024
+0.0177461
+0.0158512
+0.0140427
+0.0123441
+0.0107769
+0.00940392
+0.00780237
+0.00650418
+0.00557926
+0.00486143
+0.00421254
+0.00275585
+0.002022
+0.00121228
+0.00123875
+0.00290775
+0.00395778
+0.00539927
+0.00695104
+0.00870313
+0.0105698
+0.0123155
+0.0141757
+0.0161192
+0.0181191
+0.0199053
+0.0217261
+0.0235953
+0.0255156
+0.0274583
+0.0293474
+0.03127
+0.0332259
+0.0349818
+0.0339473
+0.0330258
+0.0321969
+0.0313029
+0.0305351
+0.0298691
+0.0291947
+0.0286055
+0.0281748
+0.027885
+0.0276607
+0.0275999
+0.0276011
+0.0277285
+0.0280271
+0.0284916
+0.0290362
+0.0296524
+0.0304118
+0.0312458
+0.0317925
+0.0324015
+0.0331192
+0.0339633
+0.034677
+0.0354149
+0.036231
+0.0370819
+0.0379988
+0.0389994
+0.040076
+0.0412123
+0.0423947
+0.0436503
+0.0449777
+0.0463397
+0.0477159
+0.0532406
+0.0520244
+0.0508734
+0.0497224
+0.048619
+0.0475095
+0.0463991
+0.0452964
+0.0442018
+0.0431733
+0.0421817
+0.0408342
+0.0395621
+0.038362
+0.0372466
+0.0362295
+0.035311
+0.034445
+0.0336819
+0.0330466
+0.0325466
+0.0321426
+0.0315938
+0.030181
+0.028118
+0.0260747
+0.0240382
+0.0220183
+0.0200319
+0.0180929
+0.016218
+0.0144324
+0.0127673
+0.0112592
+0.00957978
+0.00805159
+0.00685494
+0.00593825
+0.00527989
+0.00498725
+0.00384219
+0.00264617
+0.00206041
+0.002171
+0.00220842
+0.00351921
+0.00516196
+0.00681153
+0.00841828
+0.0100643
+0.0118673
+0.013782
+0.0156864
+0.0174209
+0.0192355
+0.0211073
+0.0230268
+0.0249607
+0.0268401
+0.0287635
+0.0307227
+0.0327113
+0.0340669
+0.0329641
+0.0318625
+0.0308398
+0.0299263
+0.0291316
+0.0284726
+0.0278953
+0.0274057
+0.0269806
+0.0266546
+0.02649
+0.0263109
+0.0262979
+0.0264667
+0.0268141
+0.0272323
+0.0278114
+0.0285374
+0.0293501
+0.030217
+0.0309559
+0.0315747
+0.0323108
+0.0329329
+0.0335382
+0.0342526
+0.0350253
+0.0358688
+0.0367744
+0.0377834
+0.0388718
+0.0400179
+0.0412346
+0.0425245
+0.0438859
+0.0452361
+0.0466101
+0.0517843
+0.0505471
+0.0493618
+0.048223
+0.0470845
+0.0460221
+0.044952
+0.0438897
+0.0428891
+0.0418601
+0.0408866
+0.0396023
+0.0382893
+0.0370548
+0.0358988
+0.0348423
+0.0338947
+0.0330569
+0.0322914
+0.0316381
+0.0311155
+0.030732
+0.0302395
+0.0293921
+0.0285165
+0.026474
+0.0244571
+0.0224728
+0.0205306
+0.0186434
+0.0168152
+0.0150777
+0.013473
+0.0118444
+0.0101645
+0.00870105
+0.00751466
+0.0065944
+0.00598842
+0.00583993
+0.00479815
+0.00366696
+0.00337536
+0.00250075
+0.00255608
+0.00384871
+0.00529242
+0.00666376
+0.00827299
+0.00996315
+0.0117804
+0.0134949
+0.0151547
+0.0169287
+0.0187909
+0.0207029
+0.0226043
+0.0244685
+0.0263829
+0.0283373
+0.0303241
+0.0323372
+0.0329264
+0.0317065
+0.0305605
+0.0295181
+0.0285948
+0.0278038
+0.0271384
+0.0265839
+0.0260815
+0.0255869
+0.0252627
+0.0250984
+0.0250788
+0.0250651
+0.0252422
+0.0255734
+0.0260105
+0.0266212
+0.027394
+0.0282579
+0.0291051
+0.0300766
+0.0308278
+0.0312876
+0.0317733
+0.0324002
+0.0330287
+0.0337807
+0.034651
+0.0355854
+0.0366121
+0.0377206
+0.0388965
+0.0401559
+0.041479
+0.0427607
+0.0440974
+0.0455004
+0.0503797
+0.0491116
+0.0479026
+0.0467529
+0.0456036
+0.0445059
+0.0434908
+0.0424527
+0.0414445
+0.0405178
+0.0395947
+0.0384466
+0.0370927
+0.0358217
+0.0346372
+0.033541
+0.0325518
+0.0316743
+0.0309008
+0.0302591
+0.0297479
+0.0293438
+0.0289013
+0.0281025
+0.0273646
+0.026786
+0.0250594
+0.0231195
+0.0212203
+0.0193828
+0.0176261
+0.0159771
+0.0143632
+0.012667
+0.0110761
+0.00969465
+0.00857623
+0.00766613
+0.00702418
+0.00689161
+0.00601105
+0.00477998
+0.00378956
+0.00352114
+0.00371178
+0.00407536
+0.00526314
+0.00690989
+0.00841763
+0.0100999
+0.0116511
+0.0132301
+0.0149116
+0.0167115
+0.0185954
+0.0204413
+0.022276
+0.0241655
+0.0261021
+0.0280761
+0.0300802
+0.0320485
+0.0317047
+0.0304572
+0.0292999
+0.0282534
+0.027317
+0.0265035
+0.0258286
+0.0252274
+0.0246831
+0.0242843
+0.0239424
+0.0237981
+0.0238235
+0.0239695
+0.0241547
+0.0244615
+0.0249181
+0.0255549
+0.0262942
+0.0271067
+0.027977
+0.028987
+0.0298077
+0.0302106
+0.0306314
+0.031192
+0.0318365
+0.0325789
+0.033445
+0.0344121
+0.0354552
+0.0365728
+0.0377714
+0.0390529
+0.0403184
+0.0416184
+0.0429907
+0.0444287
+0.0490299
+0.047729
+0.0464918
+0.0453156
+0.044165
+0.0430305
+0.0419798
+0.0409745
+0.0399924
+0.0390424
+0.038191
+0.0373836
+0.0359898
+0.0346784
+0.0334543
+0.0323111
+0.0312789
+0.0303682
+0.0295797
+0.0289164
+0.0283884
+0.028021
+0.0275349
+0.0267632
+0.0260525
+0.025468
+0.0250005
+0.0239173
+0.0220869
+0.0203278
+0.0186604
+0.017073
+0.0153657
+0.013738
+0.0122721
+0.0109805
+0.00993361
+0.00902669
+0.0084818
+0.00831973
+0.00719316
+0.00586705
+0.00506518
+0.00490123
+0.00444018
+0.0048101
+0.0057329
+0.00688966
+0.00843176
+0.00990881
+0.0115095
+0.0132113
+0.0149843
+0.0167798
+0.0185365
+0.0203152
+0.0221604
+0.024059
+0.0260035
+0.0279584
+0.0298865
+0.0305324
+0.0305273
+0.0292643
+0.0280911
+0.0270106
+0.0260699
+0.0252561
+0.0245269
+0.0238757
+0.0233555
+0.0229888
+0.0227211
+0.0225689
+0.0226196
+0.0227088
+0.0229446
+0.0233539
+0.0238315
+0.0244561
+0.0251846
+0.0260672
+0.026971
+0.0280171
+0.0286687
+0.0290332
+0.0294962
+0.0299942
+0.0306248
+0.0313959
+0.0322778
+0.0332789
+0.0343387
+0.035474
+0.0367021
+0.0379716
+0.039227
+0.0405619
+0.0419688
+0.0434206
+0.0476385
+0.0463772
+0.0451352
+0.0439342
+0.0427452
+0.0416136
+0.0405129
+0.0394694
+0.0385137
+0.0375961
+0.036711
+0.0359079
+0.0349846
+0.0336375
+0.0323577
+0.0311719
+0.030099
+0.0291515
+0.028342
+0.0276623
+0.0271287
+0.0267467
+0.0262419
+0.0254623
+0.0247544
+0.0241517
+0.0237096
+0.0232535
+0.0229727
+0.0214557
+0.0198831
+0.0181921
+0.0165524
+0.0150472
+0.013667
+0.0124812
+0.0114663
+0.0106399
+0.0101216
+0.0099116
+0.00846427
+0.00737008
+0.00647248
+0.00583545
+0.00579959
+0.00583909
+0.00637706
+0.00743426
+0.00851462
+0.00994335
+0.0116121
+0.0134285
+0.0152062
+0.0169826
+0.0186564
+0.0204248
+0.0222608
+0.0241368
+0.0259792
+0.0276474
+0.0279504
+0.0284031
+0.029005
+0.0280661
+0.0269117
+0.0258541
+0.0248694
+0.0239355
+0.0231586
+0.0225017
+0.0220339
+0.0216935
+0.021483
+0.0213547
+0.0212876
+0.0214128
+0.0217186
+0.0220445
+0.0225499
+0.0232515
+0.0241323
+0.0250288
+0.0259864
+0.0270592
+0.0275766
+0.0279553
+0.0283591
+0.0288675
+0.0295247
+0.0303009
+0.0312002
+0.032206
+0.0332759
+0.0344327
+0.0356059
+0.0368394
+0.0381564
+0.0395509
+0.0409824
+0.042447
+0.046292
+0.0450118
+0.043783
+0.0425555
+0.0413059
+0.040137
+0.039056
+0.0379975
+0.0370129
+0.0361344
+0.0352836
+0.0344363
+0.0335763
+0.0324573
+0.0313546
+0.0301293
+0.0290179
+0.0280339
+0.0271912
+0.0265032
+0.0259605
+0.0255801
+0.0249873
+0.0242219
+0.0235302
+0.0229357
+0.02243
+0.0219472
+0.0216666
+0.0215719
+0.0210931
+0.0194512
+0.0179213
+0.0164985
+0.0152129
+0.0141237
+0.013139
+0.0123804
+0.0119372
+0.011302
+0.00986194
+0.00864343
+0.00775346
+0.00728222
+0.00720293
+0.0070533
+0.00743299
+0.00801757
+0.00903922
+0.0104214
+0.0120239
+0.0137137
+0.015356
+0.0171214
+0.0189728
+0.0207181
+0.0224482
+0.0242356
+0.0253286
+0.0254713
+0.0258
+0.0262839
+0.0269333
+0.0269098
+0.0257382
+0.0246692
+0.0235992
+0.0226432
+0.0218265
+0.0211858
+0.0207135
+0.0204406
+0.0202845
+0.0201324
+0.0200687
+0.0202349
+0.0205036
+0.0208617
+0.0213949
+0.022133
+0.0230563
+0.024077
+0.0250527
+0.0258144
+0.0264852
+0.0269028
+0.0272772
+0.0277997
+0.0284545
+0.029259
+0.0301634
+0.0311741
+0.0322773
+0.033355
+0.0345291
+0.035797
+0.0371509
+0.0385818
+0.0399615
+0.0413551
+0.0450087
+0.0436909
+0.0424453
+0.0412203
+0.0399349
+0.0387246
+0.0376031
+0.0365785
+0.0355742
+0.0346593
+0.0338136
+0.033018
+0.0321972
+0.0310582
+0.0300017
+0.0290721
+0.0280665
+0.0270479
+0.0261734
+0.0254579
+0.0249056
+0.0245266
+0.0238405
+0.023081
+0.0224132
+0.0217958
+0.0212981
+0.0207892
+0.0204874
+0.0203546
+0.0204221
+0.0206994
+0.0194009
+0.0180632
+0.0168759
+0.0158412
+0.0149369
+0.0142458
+0.0138556
+0.0124465
+0.0110801
+0.010011
+0.00934166
+0.00884604
+0.00864798
+0.0083781
+0.00853764
+0.00905118
+0.00998984
+0.0112574
+0.0126801
+0.0141884
+0.0157614
+0.0173798
+0.0191126
+0.0209124
+0.0227288
+0.0231926
+0.0231419
+0.023298
+0.0236557
+0.0241775
+0.0248819
+0.0257539
+0.0246178
+0.0235217
+0.022419
+0.0214572
+0.020617
+0.0199443
+0.0194627
+0.0192197
+0.0189964
+0.0189616
+0.0188977
+0.0189665
+0.0192482
+0.0197702
+0.0203574
+0.0211319
+0.0220973
+0.0229936
+0.0239521
+0.0245518
+0.0252504
+0.0258015
+0.0262411
+0.0268244
+0.0274564
+0.0282149
+0.0291019
+0.0301166
+0.0311805
+0.0322886
+0.0335035
+0.0348139
+0.0361231
+0.0374153
+0.0387766
+0.0402113
+0.0437944
+0.0424389
+0.0411555
+0.039951
+0.0386338
+0.0373823
+0.0362193
+0.0351544
+0.0341722
+0.0332107
+0.0323404
+0.0315981
+0.0307964
+0.0297436
+0.0286464
+0.0276713
+0.0268347
+0.0261148
+0.0252986
+0.0245576
+0.0239912
+0.0235147
+0.0227506
+0.022006
+0.0213055
+0.0207306
+0.0202455
+0.0197787
+0.0194356
+0.0192843
+0.019379
+0.019663
+0.0198358
+0.0197292
+0.0186483
+0.0176382
+0.016804
+0.0161928
+0.0152154
+0.013775
+0.0125533
+0.0116197
+0.0107433
+0.0102005
+0.00984412
+0.00960788
+0.00981672
+0.010422
+0.011162
+0.0121316
+0.0133836
+0.0146137
+0.0160499
+0.0176418
+0.0193512
+0.0211495
+0.0212943
+0.0210119
+0.020956
+0.0211283
+0.0215151
+0.0220875
+0.0228563
+0.0238026
+0.0234558
+0.022324
+0.0213053
+0.0203873
+0.0195592
+0.018863
+0.0183665
+0.0180326
+0.0178394
+0.017705
+0.017705
+0.017787
+0.0181228
+0.0186762
+0.0193534
+0.0202131
+0.0209858
+0.0219275
+0.0226637
+0.0232695
+0.0239877
+0.0247466
+0.0251731
+0.0257793
+0.0263922
+0.0271552
+0.0280673
+0.0291115
+0.0301795
+0.031323
+0.032506
+0.0336682
+0.0349188
+0.036225
+0.0375707
+0.0389877
+0.042647
+0.0412653
+0.0399442
+0.038702
+0.0374153
+0.0361216
+0.0349166
+0.0338108
+0.0327932
+0.0317988
+0.0309174
+0.0301495
+0.0294041
+0.0284239
+0.0273306
+0.026342
+0.0254692
+0.0247411
+0.0241691
+0.0235486
+0.0228166
+0.0221746
+0.0216286
+0.0207953
+0.0201124
+0.0196512
+0.0192559
+0.0187662
+0.0184767
+0.0184014
+0.018501
+0.0187982
+0.0190543
+0.0192334
+0.0196314
+0.0195144
+0.0187413
+0.0180602
+0.0165774
+0.0152659
+0.0141538
+0.0130514
+0.0122451
+0.0115819
+0.0112034
+0.0110944
+0.0113175
+0.0117953
+0.0123427
+0.0130836
+0.014047
+0.0152425
+0.0166245
+0.0181661
+0.0198303
+0.0197007
+0.0191482
+0.0188337
+0.0187712
+0.0189634
+0.0193856
+0.020019
+0.0208642
+0.0218968
+0.0222704
+0.0211559
+0.0201648
+0.0192478
+0.0184025
+0.0177495
+0.0171862
+0.0168119
+0.0166387
+0.0164597
+0.0165193
+0.0166231
+0.0169522
+0.0175251
+0.0182538
+0.019067
+0.01986
+0.0208516
+0.0214705
+0.0220911
+0.0228414
+0.0237033
+0.0241354
+0.0246762
+0.0253152
+0.0261098
+0.0270589
+0.0281468
+0.0292151
+0.0302213
+0.0313128
+0.0324545
+0.0336675
+0.0349727
+0.0363268
+0.0376816
+0.0415727
+0.0401656
+0.0388188
+0.0375395
+0.03628
+0.0349529
+0.0337061
+0.0325592
+0.0315064
+0.0304699
+0.0295598
+0.0287712
+0.0280539
+0.0270288
+0.0259871
+0.0250588
+0.0241762
+0.0234397
+0.022868
+0.0223304
+0.0215058
+0.0208671
+0.0203188
+0.0196422
+0.0189668
+0.018422
+0.0180074
+0.0178257
+0.0176149
+0.0175844
+0.0177453
+0.018158
+0.0181544
+0.0183822
+0.0188178
+0.0194877
+0.0199391
+0.0194696
+0.0181026
+0.0168345
+0.0156144
+0.0146225
+0.0137353
+0.0130551
+0.0127205
+0.0127359
+0.0128805
+0.0131537
+0.0134365
+0.014058
+0.0149593
+0.0161094
+0.0174561
+0.0189309
+0.01846
+0.0176244
+0.0170134
+0.0166587
+0.016588
+0.0168052
+0.0172715
+0.0179794
+0.018916
+0.0200492
+0.0212108
+0.0200312
+0.0189504
+0.0180047
+0.0172342
+0.0166098
+0.0160612
+0.015671
+0.0154205
+0.0152642
+0.0152856
+0.0153843
+0.0157499
+0.0163837
+0.0171507
+0.0179688
+0.0188198
+0.019859
+0.0204285
+0.0210697
+0.0218552
+0.0226359
+0.0230222
+0.0236063
+0.0243034
+0.02513
+0.0261147
+0.0271778
+0.0280688
+0.0290087
+0.0300452
+0.0311496
+0.032357
+0.033646
+0.0349595
+0.0363577
+0.0405884
+0.0391459
+0.0377754
+0.0364715
+0.0352268
+0.0338768
+0.0325981
+0.0314107
+0.030319
+0.029245
+0.0282955
+0.0274882
+0.0266943
+0.0257421
+0.024646
+0.0237023
+0.0229089
+0.022223
+0.0216407
+0.0210923
+0.0203049
+0.019626
+0.0191121
+0.0185092
+0.0179316
+0.0172663
+0.0167916
+0.0165949
+0.0166859
+0.0168079
+0.0170065
+0.0173053
+0.0173683
+0.0176162
+0.0181274
+0.0188756
+0.0193448
+0.0195474
+0.0196184
+0.0183388
+0.0172256
+0.0161979
+0.0153151
+0.0147081
+0.0144119
+0.0143539
+0.0143987
+0.0144472
+0.0147041
+0.0152741
+0.0161196
+0.0171922
+0.0184635
+0.0176811
+0.0165188
+0.0155794
+0.0148949
+0.0144883
+0.0144071
+0.0146566
+0.015179
+0.01598
+0.0170269
+0.0182712
+0.0196781
+0.018975
+0.0178633
+0.0169108
+0.0160917
+0.0155034
+0.0149705
+0.014497
+0.0142464
+0.0140237
+0.0140382
+0.0141454
+0.014581
+0.0152634
+0.0159615
+0.0168828
+0.0177798
+0.0188478
+0.0195662
+0.0202229
+0.0209958
+0.0215741
+0.0219791
+0.0225901
+0.0233782
+0.0242833
+0.0252369
+0.0259032
+0.0266877
+0.0275885
+0.0286113
+0.0297606
+0.0310137
+0.0323052
+0.0336711
+0.0351205
+0.0397007
+0.0382247
+0.0368199
+0.0354949
+0.0342438
+0.0328927
+0.0315921
+0.0303654
+0.0292467
+0.0281336
+0.0271494
+0.0263069
+0.0252815
+0.0242699
+0.0234178
+0.0224387
+0.0215953
+0.0209301
+0.0204787
+0.0197539
+0.0189512
+0.0182934
+0.0178025
+0.0174531
+0.0170042
+0.0162467
+0.0157413
+0.0155313
+0.0156121
+0.0158951
+0.0162191
+0.016209
+0.0163975
+0.0168635
+0.0173999
+0.0181752
+0.01864
+0.0187589
+0.0186223
+0.0185178
+0.0186513
+0.017828
+0.0170306
+0.0164869
+0.0162135
+0.0160122
+0.0160031
+0.0159371
+0.0161703
+0.0166903
+0.0174715
+0.0184724
+0.0173993
+0.0159444
+0.0146482
+0.01358
+0.0128007
+0.0123253
+0.0122297
+0.0125196
+0.0131187
+0.0140377
+0.0152151
+0.0165919
+0.0181278
+0.0180008
+0.0168651
+0.0158737
+0.0150552
+0.0143321
+0.0138461
+0.0134141
+0.0131093
+0.0129247
+0.0128979
+0.0130145
+0.0134694
+0.0141554
+0.0148826
+0.0158148
+0.0167787
+0.017892
+0.0188344
+0.01945
+0.0202545
+0.0206158
+0.0210393
+0.021677
+0.0224887
+0.0233558
+0.0238283
+0.0244884
+0.0252633
+0.0261938
+0.027269
+0.0284646
+0.0297359
+0.0310602
+0.0324716
+0.033945
+0.0389093
+0.0374019
+0.0359649
+0.0346069
+0.0333377
+0.0320284
+0.0306899
+0.0294252
+0.0282627
+0.0271367
+0.0261326
+0.0250174
+0.0238354
+0.0227596
+0.0218486
+0.021093
+0.0204192
+0.019717
+0.0192371
+0.0185559
+0.0176937
+0.0170236
+0.0165205
+0.0162247
+0.0158717
+0.0154258
+0.0148926
+0.0146704
+0.0147559
+0.015055
+0.0152617
+0.0152319
+0.015419
+0.015887
+0.0165623
+0.0173881
+0.0178854
+0.0177941
+0.0176289
+0.017499
+0.0176402
+0.0178706
+0.0182819
+0.0183425
+0.0179402
+0.0177595
+0.0175944
+0.0175744
+0.0177862
+0.0176624
+0.0168764
+0.0163267
+0.0159237
+0.0143208
+0.0128788
+0.0116496
+0.0107312
+0.010174
+0.010058
+0.0103941
+0.0111084
+0.01218
+0.0135111
+0.0150402
+0.016442
+0.0168285
+0.016037
+0.0149725
+0.0140268
+0.0132098
+0.012637
+0.0122305
+0.012012
+0.0118791
+0.0117753
+0.0119509
+0.0123927
+0.0131083
+0.0138221
+0.0148146
+0.0158715
+0.016961
+0.0180794
+0.0188333
+0.0194305
+0.0197023
+0.0200987
+0.020672
+0.0213407
+0.0219954
+0.0224679
+0.02312
+0.0239337
+0.024914
+0.0260348
+0.0272222
+0.0284999
+0.029879
+0.03133
+0.0328546
+0.0382096
+0.0366735
+0.0352067
+0.0338183
+0.0325184
+0.0312939
+0.0299208
+0.028622
+0.0273932
+0.02623
+0.0250797
+0.0237008
+0.0224512
+0.0213508
+0.0203787
+0.0195839
+0.0189866
+0.0185321
+0.0181647
+0.0174588
+0.0165879
+0.015892
+0.015377
+0.0150373
+0.0149031
+0.0147223
+0.0143042
+0.0140727
+0.0141764
+0.0145001
+0.014564
+0.0144451
+0.0146541
+0.0151217
+0.0157938
+0.0166979
+0.0170623
+0.0168634
+0.0166677
+0.0165438
+0.0166931
+0.0170349
+0.0174662
+0.0180188
+0.0186921
+0.0194857
+0.019183
+0.0179047
+0.0167071
+0.0156873
+0.014803
+0.0141893
+0.0138399
+0.0128585
+0.0112453
+0.00982885
+0.00872079
+0.00804406
+0.00789679
+0.00830248
+0.00918097
+0.0104406
+0.011958
+0.0136075
+0.0142995
+0.0147423
+0.0153484
+0.0142356
+0.0131641
+0.012297
+0.0116131
+0.0111722
+0.0109925
+0.0108615
+0.0107729
+0.0109422
+0.011447
+0.0121367
+0.0129289
+0.0138003
+0.0148674
+0.0161183
+0.0171897
+0.017974
+0.0183528
+0.0185468
+0.0188679
+0.0193665
+0.0200653
+0.0207144
+0.0212095
+0.0218797
+0.0227328
+0.0237196
+0.0248244
+0.0260349
+0.027363
+0.0287939
+0.0302945
+0.0318687
+0.0376242
+0.0360636
+0.034571
+0.033156
+0.031829
+0.0306014
+0.0292875
+0.0279678
+0.0266758
+0.0254617
+0.0239384
+0.0225022
+0.021182
+0.0200152
+0.0189986
+0.0181706
+0.0175463
+0.0171296
+0.0169102
+0.0164255
+0.0156247
+0.0149181
+0.0143513
+0.0139948
+0.0139251
+0.0140191
+0.013983
+0.0137461
+0.0138522
+0.0142357
+0.0140519
+0.0139286
+0.0141131
+0.0145863
+0.0152492
+0.0158854
+0.0162318
+0.01593
+0.015891
+0.0157744
+0.015931
+0.0162771
+0.0167279
+0.0173237
+0.0179674
+0.0186202
+0.0175191
+0.0161093
+0.0148749
+0.0137196
+0.0127688
+0.0120616
+0.0116589
+0.01158
+0.00980664
+0.00817836
+0.00682236
+0.00595832
+0.00575794
+0.0062788
+0.00739326
+0.00887909
+0.0105416
+0.0119083
+0.0121742
+0.0126913
+0.0135413
+0.0136722
+0.0125316
+0.0116568
+0.0108675
+0.0103844
+0.0101225
+0.00996038
+0.00999723
+0.0101582
+0.0107338
+0.0112382
+0.0120487
+0.0128934
+0.0140297
+0.0153188
+0.0163046
+0.0170819
+0.0171841
+0.0173096
+0.0176771
+0.0181779
+0.0189078
+0.0195888
+0.0200883
+0.0207409
+0.0215955
+0.0225909
+0.0237189
+0.0249781
+0.026348
+0.0278135
+0.0293695
+0.0310023
+0.0371314
+0.0355747
+0.0340645
+0.0326275
+0.0312781
+0.0300281
+0.0287848
+0.0274465
+0.0261169
+0.0244896
+0.0229192
+0.021439
+0.020054
+0.0188144
+0.0177484
+0.0168591
+0.0162188
+0.0158399
+0.0156591
+0.0155712
+0.0147556
+0.0141347
+0.0135249
+0.0132072
+0.0131341
+0.0133937
+0.0137358
+0.0137647
+0.0138707
+0.0142537
+0.0138355
+0.0137102
+0.0138535
+0.0142813
+0.0149761
+0.0152536
+0.0154326
+0.0151389
+0.0150151
+0.0150456
+0.0152806
+0.0156581
+0.0161534
+0.0168088
+0.017384
+0.0175707
+0.0159631
+0.0144237
+0.0130473
+0.0118305
+0.0107946
+0.00995018
+0.00948241
+0.00939136
+0.00868313
+0.00679679
+0.00514877
+0.00395972
+0.00368059
+0.00441692
+0.00580867
+0.00749136
+0.00935435
+0.00972233
+0.0100747
+0.010696
+0.0116531
+0.012884
+0.0121973
+0.0112827
+0.0104381
+0.0099264
+0.0096263
+0.00941191
+0.00942661
+0.00949561
+0.00985996
+0.0104092
+0.0112239
+0.0121679
+0.0133075
+0.0144719
+0.0153593
+0.0161117
+0.016141
+0.0162745
+0.0166282
+0.0171596
+0.0179134
+0.0185847
+0.0190377
+0.0196962
+0.0205505
+0.0215669
+0.0227345
+0.0240454
+0.025462
+0.0269758
+0.0285774
+0.030253
+0.0364456
+0.0351897
+0.0336859
+0.0322396
+0.0308733
+0.0296061
+0.0283649
+0.0266579
+0.0250129
+0.0234572
+0.0220035
+0.0204775
+0.019064
+0.0177624
+0.0166428
+0.0157227
+0.0150342
+0.014644
+0.0145137
+0.0146149
+0.014019
+0.0134525
+0.0129875
+0.0126654
+0.0126619
+0.0129566
+0.0135381
+0.0140859
+0.0141988
+0.0143928
+0.0139321
+0.0137279
+0.0138164
+0.0140139
+0.01399
+0.0142501
+0.0147274
+0.0144964
+0.0143513
+0.0143605
+0.0146392
+0.0151169
+0.0156606
+0.0163199
+0.0169046
+0.0162217
+0.0144927
+0.0128683
+0.0113297
+0.0100075
+0.00882361
+0.00788146
+0.00731442
+0.0072039
+0.00758108
+0.00587289
+0.00391812
+0.00230796
+0.0017618
+0.00279582
+0.00450699
+0.00648831
+0.00745061
+0.00753908
+0.00798838
+0.00878638
+0.00989018
+0.0111947
+0.0121937
+0.0111666
+0.0103632
+0.00983831
+0.00941269
+0.00916671
+0.00903647
+0.00898763
+0.00922498
+0.00972534
+0.0104217
+0.0113845
+0.0125317
+0.0137836
+0.014517
+0.0152793
+0.0152838
+0.0154413
+0.0157949
+0.0163535
+0.0171394
+0.0176862
+0.0181304
+0.0188015
+0.0196648
+0.0207082
+0.0219216
+0.0232784
+0.0247389
+0.0262943
+0.027935
+0.0296433
+0.0354021
+0.0344193
+0.0334229
+0.0319861
+0.0306201
+0.0292257
+0.0274203
+0.0256591
+0.0239687
+0.0223473
+0.020823
+0.0194254
+0.0181362
+0.0168789
+0.0156998
+0.0147245
+0.0139888
+0.0135674
+0.0134251
+0.0136004
+0.0133657
+0.0129331
+0.0126086
+0.0124323
+0.0124859
+0.0128107
+0.013448
+0.0143222
+0.014814
+0.0148133
+0.0142894
+0.0140366
+0.0134643
+0.0131255
+0.0130756
+0.013344
+0.0138989
+0.0138863
+0.0139748
+0.0139418
+0.0142493
+0.014772
+0.0153884
+0.016063
+0.0166616
+0.0150471
+0.0131859
+0.0114254
+0.00977566
+0.00823882
+0.00698475
+0.00590144
+0.00516352
+0.00501925
+0.0054546
+0.00485714
+0.00345859
+0.00148643
+0.000341445
+0.00173437
+0.00381277
+0.00491286
+0.00528836
+0.00536189
+0.00593299
+0.00698785
+0.00812872
+0.00957864
+0.0112362
+0.0114633
+0.0106822
+0.0101159
+0.00963581
+0.00932657
+0.00893886
+0.00876713
+0.00890265
+0.00927303
+0.00993049
+0.0109219
+0.0119869
+0.0130383
+0.0137196
+0.0146359
+0.0146396
+0.0148039
+0.0152335
+0.0158061
+0.0165991
+0.0169906
+0.0174318
+0.0180961
+0.0189737
+0.0200531
+0.0213038
+0.0226975
+0.0241878
+0.0257648
+0.0274262
+0.0291576
+0.0344448
+0.0334562
+0.0325595
+0.0317372
+0.0302672
+0.0283911
+0.0265632
+0.0247864
+0.0230522
+0.0213803
+0.0198072
+0.0183344
+0.017016
+0.0158401
+0.0148889
+0.0139759
+0.0132239
+0.0127667
+0.0125416
+0.0126962
+0.0128604
+0.0126037
+0.0124886
+0.0124283
+0.012635
+0.0130111
+0.0136579
+0.0145681
+0.0155895
+0.015412
+0.0143763
+0.0135047
+0.0128216
+0.0124568
+0.0124243
+0.0127068
+0.0132693
+0.0134954
+0.0136288
+0.0138166
+0.0141136
+0.0146682
+0.0152696
+0.0159671
+0.0161376
+0.0140988
+0.0121112
+0.0101849
+0.00838098
+0.00668809
+0.00515663
+0.00393402
+0.00302945
+0.00284378
+0.00337809
+0.00288869
+0.00224594
+0.00115356
+-0.000575168
+0.000730187
+0.00218725
+0.00338697
+0.00315943
+0.00320318
+0.00400889
+0.00510169
+0.00648701
+0.00814289
+0.00982849
+0.0116694
+0.0113685
+0.0107437
+0.0102689
+0.00976409
+0.00922375
+0.00890127
+0.00884141
+0.00915079
+0.00966178
+0.0104503
+0.0114763
+0.0120141
+0.0127354
+0.0136456
+0.0142567
+0.0144733
+0.0149467
+0.0155307
+0.016337
+0.0165355
+0.0169538
+0.0176172
+0.0185174
+0.019622
+0.0208985
+0.0222915
+0.0237926
+0.0253941
+0.0270783
+0.0288306
+0.0335148
+0.032532
+0.0316353
+0.0308286
+0.0295893
+0.0276805
+0.0258161
+0.0239944
+0.0222368
+0.0205538
+0.0189351
+0.0174233
+0.016031
+0.0148329
+0.013836
+0.0130362
+0.012511
+0.0121125
+0.0118991
+0.0120619
+0.0124806
+0.0124494
+0.012541
+0.0127201
+0.0130056
+0.0135127
+0.0141884
+0.0150928
+0.0160735
+0.0148296
+0.0137782
+0.0128934
+0.0122254
+0.0118762
+0.011849
+0.0122209
+0.0129235
+0.0132945
+0.0134995
+0.0139468
+0.0143067
+0.0148085
+0.0154483
+0.0161317
+0.0155492
+0.0134214
+0.0113175
+0.00925405
+0.00726546
+0.00538847
+0.00360798
+0.00210133
+0.00098952
+0.000690077
+0.00128109
+0.0015281
+6.66823e-05
+-2.51613e-05
+-0.00142849
+-0.000684255
+0.000318128
+0.00131731
+0.00110273
+0.00112697
+0.002241
+0.00340716
+0.00505536
+0.00679113
+0.00872337
+0.0107551
+0.0123812
+0.0117314
+0.011217
+0.0104946
+0.0098602
+0.00936957
+0.00912143
+0.00903141
+0.00938803
+0.0100802
+0.0107346
+0.011128
+0.0118474
+0.0128079
+0.0139925
+0.0144571
+0.014944
+0.0155309
+0.0161381
+0.0163046
+0.0167085
+0.0173812
+0.018293
+0.0194104
+0.0206875
+0.0220805
+0.023595
+0.025209
+0.0269048
+0.0286677
+0.0325184
+0.0316209
+0.0308127
+0.0300083
+0.0290103
+0.0270814
+0.0251952
+0.0233462
+0.0215434
+0.0198105
+0.0181768
+0.0166314
+0.0152276
+0.0140034
+0.0129676
+0.0121155
+0.0115967
+0.011416
+0.0115809
+0.01176
+0.0122408
+0.0124485
+0.0127693
+0.0131691
+0.0136411
+0.0142071
+0.0149738
+0.0158797
+0.0158017
+0.0145568
+0.0134478
+0.0125874
+0.0119358
+0.0115792
+0.0115821
+0.0119623
+0.0126687
+0.0134422
+0.013645
+0.0141462
+0.0147634
+0.0152486
+0.0158966
+0.0165366
+0.0152556
+0.01308
+0.0109105
+0.00875165
+0.00661369
+0.00452545
+0.0024615
+0.0005523
+-0.000933795
+-0.00145813
+-0.000772364
+-0.000359877
+-0.00116508
+-0.00199987
+-0.00269654
+-0.00246042
+-0.00110363
+-0.000863985
+-0.00091567
+-0.000682977
+0.000415757
+0.00200081
+0.00385179
+0.00592258
+0.00786655
+0.00991394
+0.012012
+0.0129805
+0.0123842
+0.0115539
+0.010751
+0.00989363
+0.00930773
+0.00910308
+0.0093783
+0.00998645
+0.0100939
+0.0105128
+0.0112962
+0.0122431
+0.0134815
+0.0147197
+0.0152462
+0.0158069
+0.0161969
+0.0163118
+0.0167155
+0.0173879
+0.0182994
+0.0194164
+0.0206891
+0.0220845
+0.0235999
+0.0252137
+0.026887
+0.0285832
+0.0315107
+0.030612
+0.029825
+0.0291725
+0.028556
+0.0266024
+0.0246867
+0.0228134
+0.0210011
+0.0192544
+0.017569
+0.0160064
+0.0146061
+0.0133563
+0.0123248
+0.0115005
+0.0109795
+0.0107885
+0.0110129
+0.0115048
+0.0121109
+0.0126175
+0.0131666
+0.0137546
+0.0143979
+0.0151124
+0.0159079
+0.0168794
+0.0155477
+0.0143558
+0.0133604
+0.0125355
+0.0119447
+0.0116682
+0.0116855
+0.0120366
+0.0126909
+0.0136416
+0.0141327
+0.0146171
+0.0153609
+0.0159796
+0.016599
+0.0172052
+0.0152307
+0.0130535
+0.0108818
+0.00871952
+0.00657232
+0.00440951
+0.00229999
+0.000320711
+-0.0018671
+-0.00353006
+-0.00287659
+-0.00248769
+-0.0028467
+-0.00400144
+-0.00447061
+-0.00408749
+-0.00308989
+-0.00302222
+-0.00301907
+-0.00226535
+-0.000617487
+0.00115055
+0.00302286
+0.00513274
+0.0072901
+0.00944711
+0.0115496
+0.013296
+0.0136194
+0.0125905
+0.0113678
+0.0103979
+0.00978883
+0.0095889
+0.00961746
+0.00961869
+0.00959704
+0.00994955
+0.010741
+0.0118342
+0.0131775
+0.0147142
+0.0158021
+0.016374
+0.0164976
+0.0166104
+0.017007
+0.0176684
+0.0185661
+0.0196451
+0.0208794
+0.0222293
+0.023703
+0.0252345
+0.0268364
+0.028504
+0.0305553
+0.0296622
+0.0288684
+0.0282127
+0.0277151
+0.026265
+0.0243277
+0.0224339
+0.0205991
+0.0188316
+0.0171589
+0.0156148
+0.0141849
+0.012941
+0.011954
+0.0111047
+0.0106373
+0.0105509
+0.0107973
+0.0113374
+0.0121662
+0.012957
+0.0136565
+0.0144736
+0.0152471
+0.0161299
+0.017006
+0.0164956
+0.0151182
+0.0138895
+0.0128963
+0.0121662
+0.011748
+0.0116067
+0.0118169
+0.0123008
+0.0129483
+0.0138948
+0.0148838
+0.0153885
+0.0160971
+0.0169391
+0.0175219
+0.0175204
+0.015337
+0.0131559
+0.0109787
+0.00880818
+0.00665088
+0.00451664
+0.00240944
+0.000634002
+-0.0011104
+-0.00309912
+-0.00501911
+-0.0046334
+-0.0048032
+-0.00570858
+-0.00642637
+-0.00597015
+-0.00517089
+-0.00513018
+-0.00516111
+-0.00334804
+-0.00120663
+0.000872922
+0.00273104
+0.00476107
+0.00687974
+0.00872547
+0.0103967
+0.0119408
+0.0134068
+0.0133644
+0.0121614
+0.0112535
+0.0105328
+0.0100199
+0.00969504
+0.00933511
+0.00939716
+0.00975113
+0.0105504
+0.0116376
+0.012998
+0.0145032
+0.0161293
+0.0172033
+0.0170762
+0.0171852
+0.0175689
+0.0181925
+0.0189833
+0.0199722
+0.0210752
+0.0223173
+0.0236972
+0.0251923
+0.0267833
+0.0284456
+0.0296972
+0.0287778
+0.0279999
+0.0273647
+0.0268439
+0.0260748
+0.0241247
+0.0222196
+0.0203719
+0.0185989
+0.0169212
+0.0153532
+0.013954
+0.0127569
+0.0117817
+0.0110012
+0.0105819
+0.0105541
+0.0109083
+0.0115066
+0.0123693
+0.0134784
+0.0143499
+0.015226
+0.0162608
+0.0171637
+0.0178226
+0.0162685
+0.0148756
+0.0136629
+0.0126741
+0.0119423
+0.0115723
+0.0114786
+0.0117484
+0.0123452
+0.0132129
+0.0143249
+0.0155926
+0.0163807
+0.0170837
+0.0179773
+0.018633
+0.0178166
+0.0156744
+0.0135463
+0.0114263
+0.00933413
+0.00729998
+0.00538998
+0.00359799
+0.00141437
+-0.000718134
+-0.00272807
+-0.00474377
+-0.00680308
+-0.00689097
+-0.0076025
+-0.00849614
+-0.00791555
+-0.00731536
+-0.00728544
+-0.00551166
+-0.0035921
+-0.00144702
+0.000591991
+0.00235018
+0.00424563
+0.00593955
+0.00765168
+0.00905744
+0.0105049
+0.0119138
+0.0134426
+0.0131734
+0.0120419
+0.0111521
+0.0104912
+0.00976102
+0.00940361
+0.00950288
+0.00999902
+0.0107258
+0.0117768
+0.0130597
+0.0145424
+0.0161334
+0.0178353
+0.0178583
+0.0179153
+0.0181305
+0.0186031
+0.0192851
+0.0201647
+0.0212348
+0.0224681
+0.0238393
+0.0252902
+0.0268062
+0.0284025
+0.0289049
+0.0279866
+0.0271861
+0.0265427
+0.0260605
+0.0256981
+0.024105
+0.0221979
+0.0203481
+0.0185725
+0.0168947
+0.0153467
+0.0139638
+0.0127898
+0.0118801
+0.0111937
+0.010822
+0.0108542
+0.011242
+0.0119705
+0.012875
+0.0139511
+0.0151795
+0.016185
+0.0172151
+0.0183912
+0.0177782
+0.0162199
+0.0148224
+0.0136352
+0.0126798
+0.0120138
+0.0117164
+0.0117002
+0.0119893
+0.0125856
+0.0134616
+0.0145822
+0.015909
+0.0173868
+0.0182442
+0.0191186
+0.0199237
+0.0179904
+0.0160314
+0.0141316
+0.0121214
+0.0100765
+0.00810814
+0.00607917
+0.00404975
+0.00201116
+-0.000131715
+-0.00219749
+-0.00430256
+-0.00641987
+-0.00850163
+-0.0095774
+-0.0103898
+-0.00995141
+-0.00948098
+-0.00771828
+-0.00573665
+-0.00356857
+-0.001442
+0.000298386
+0.00187558
+0.00320684
+0.00496481
+0.0063767
+0.00770736
+0.00919595
+0.0106645
+0.0123489
+0.0140019
+0.0126597
+0.0113285
+0.0102956
+0.00957841
+0.00926716
+0.00937935
+0.00992277
+0.0108255
+0.0120357
+0.013396
+0.014828
+0.0164008
+0.018083
+0.0184616
+0.0184117
+0.0186213
+0.0190568
+0.0197045
+0.0204771
+0.0214451
+0.0225849
+0.0238717
+0.0252814
+0.0267674
+0.0283083
+0.0282099
+0.0273083
+0.0265165
+0.0258564
+0.0253632
+0.0250281
+0.0242576
+0.0223636
+0.0205287
+0.0187702
+0.0171118
+0.01558
+0.0142127
+0.013071
+0.0122126
+0.0115734
+0.0112966
+0.0113602
+0.0117955
+0.0125653
+0.0136015
+0.0147046
+0.0159711
+0.0172215
+0.0183618
+0.0194957
+0.0179443
+0.0164051
+0.0150249
+0.013855
+0.0129226
+0.0122845
+0.0120024
+0.0120812
+0.0124336
+0.0130847
+0.0139677
+0.0150658
+0.0163842
+0.0178552
+0.0194362
+0.0204101
+0.0193352
+0.0172518
+0.0151979
+0.0131784
+0.0112194
+0.00936355
+0.00743396
+0.00555394
+0.00381284
+0.00216375
+0.000315195
+-0.00184688
+-0.00401114
+-0.00618825
+-0.00837246
+-0.0105593
+-0.0122693
+-0.0116062
+-0.00972013
+-0.00789918
+-0.00621023
+-0.00427637
+-0.00248053
+-0.000708258
+0.00102087
+0.00254687
+0.00400138
+0.00513358
+0.00652
+0.00791124
+0.00956051
+0.011223
+0.0128666
+0.0126219
+0.0112862
+0.0102413
+0.0095021
+0.00919228
+0.0093159
+0.00981731
+0.0107059
+0.0118613
+0.0132764
+0.0148644
+0.0165894
+0.0183803
+0.0191631
+0.0190314
+0.0190889
+0.0193952
+0.019939
+0.0207014
+0.0216485
+0.0226982
+0.0239014
+0.0252378
+0.0266873
+0.0281777
+0.0276105
+0.0266947
+0.0259082
+0.0252705
+0.0247716
+0.0244489
+0.0243092
+0.022733
+0.0209204
+0.0191867
+0.0175556
+0.0160581
+0.0147282
+0.0136203
+0.0127885
+0.012226
+0.0119676
+0.0121023
+0.0125572
+0.0133524
+0.0143852
+0.0156282
+0.0168852
+0.0182289
+0.0195297
+0.019919
+0.0182908
+0.0167909
+0.0154462
+0.0143047
+0.013421
+0.0127948
+0.0125244
+0.0126087
+0.0130182
+0.013743
+0.0146344
+0.0157371
+0.017004
+0.0184444
+0.0200051
+0.0210047
+0.0188766
+0.0167492
+0.0146405
+0.0125395
+0.0104615
+0.00844059
+0.00653017
+0.00455561
+0.00256424
+0.000715932
+-0.00086259
+-0.00258167
+-0.00446136
+-0.00652684
+-0.00865413
+-0.0107831
+-0.0126812
+-0.0120715
+-0.0101999
+-0.00848263
+-0.00689938
+-0.00531519
+-0.00374773
+-0.00202253
+-0.000537158
+0.000956055
+0.00211915
+0.00344967
+0.004819
+0.00650874
+0.0081703
+0.0098333
+0.0116282
+0.0127205
+0.0114305
+0.010428
+0.00973687
+0.00947683
+0.00955489
+0.0100088
+0.0108815
+0.012023
+0.013421
+0.0149978
+0.016709
+0.0185029
+0.0197088
+0.0195074
+0.0195161
+0.019769
+0.0202131
+0.0208769
+0.0217421
+0.0227858
+0.0239688
+0.0251936
+0.0265405
+0.0279068
+0.0271125
+0.0261955
+0.0254116
+0.024797
+0.0243252
+0.0240072
+0.0238866
+0.0232357
+0.0214812
+0.0197947
+0.0182106
+0.0167636
+0.0154923
+0.0144431
+0.0136487
+0.0131232
+0.0129278
+0.0130535
+0.0135255
+0.0142671
+0.0152892
+0.0165094
+0.0178916
+0.019276
+0.0206754
+0.0204192
+0.0188246
+0.0173604
+0.0160586
+0.0149593
+0.0141166
+0.0135416
+0.0132864
+0.0133895
+0.0137717
+0.0144473
+0.0153889
+0.0165245
+0.0178231
+0.0192191
+0.0207372
+0.0206763
+0.018597
+0.0164877
+0.0143406
+0.0122088
+0.0100873
+0.00799221
+0.00595553
+0.00392838
+0.00186373
+-0.000188294
+-0.00221457
+-0.00351067
+-0.00479925
+-0.00645031
+-0.00826526
+-0.0100663
+-0.0113571
+-0.0126403
+-0.0110969
+-0.00949758
+-0.00798036
+-0.0064528
+-0.00501485
+-0.00354489
+-0.00205403
+-0.000879272
+0.000412758
+0.00174505
+0.00350295
+0.00517195
+0.00685811
+0.00865517
+0.0101354
+0.0117969
+0.0116727
+0.0106726
+0.0100575
+0.0098269
+0.00996595
+0.0104785
+0.0113231
+0.0124916
+0.0138514
+0.0153958
+0.0170822
+0.018851
+0.0202019
+0.0199376
+0.0198995
+0.0201014
+0.0205364
+0.0211447
+0.0218719
+0.0227873
+0.0238693
+0.0250962
+0.026177
+0.0273463
+0.0267422
+0.0258428
+0.0250617
+0.0244384
+0.0239995
+0.0237059
+0.0235838
+0.0236648
+0.0222241
+0.0205984
+0.0190812
+0.0177055
+0.0165069
+0.0155264
+0.0147749
+0.0142908
+0.0141277
+0.0142429
+0.0146876
+0.0153991
+0.0163732
+0.0175468
+0.0188755
+0.020333
+0.0217998
+0.0211115
+0.0195734
+0.0181697
+0.0169303
+0.0158913
+0.0150874
+0.0145639
+0.0143275
+0.0144231
+0.0147788
+0.0153873
+0.0162666
+0.0173792
+0.0186773
+0.0200635
+0.0215561
+0.0204407
+0.0183348
+0.0162512
+0.0142
+0.012073
+0.00996
+0.00788878
+0.00587202
+0.00380999
+0.00185429
+0.000244413
+-0.0010593
+-0.00210603
+-0.00369701
+-0.00562619
+-0.00719102
+-0.00851401
+-0.00996782
+-0.0110891
+-0.0105692
+-0.00986155
+-0.00854179
+-0.00756512
+-0.0065577
+-0.00503812
+-0.00382979
+-0.00247866
+-0.00100751
+0.00062352
+0.00233292
+0.00392227
+0.00571171
+0.00725641
+0.00891608
+0.0107673
+0.012035
+0.0111271
+0.0105392
+0.0103451
+0.0105642
+0.0111223
+0.0119914
+0.0131196
+0.0144758
+0.0160071
+0.0176351
+0.0193605
+0.0207353
+0.0204603
+0.020332
+0.020439
+0.0207391
+0.0212554
+0.021979
+0.0228901
+0.023822
+0.0247159
+0.0257655
+0.0269527
+0.0265211
+0.025614
+0.0248623
+0.0242344
+0.0237917
+0.0235324
+0.0234132
+0.0234947
+0.0231259
+0.0215638
+0.0201194
+0.0188196
+0.0176942
+0.0167807
+0.0160783
+0.0156346
+0.0154909
+0.0156349
+0.0160411
+0.0167092
+0.017611
+0.0187268
+0.0200176
+0.0214192
+0.0229336
+0.0218726
+0.020392
+0.0190445
+0.0178433
+0.0168425
+0.0160797
+0.0155826
+0.0153613
+0.0154506
+0.0158112
+0.0164454
+0.0173119
+0.0183612
+0.0195963
+0.0209579
+0.0224463
+0.0204252
+0.0183175
+0.0162317
+0.0141777
+0.0121714
+0.0102052
+0.00818237
+0.0062586
+0.00442771
+0.00270346
+0.0014492
+0.000529076
+-0.0010219
+-0.00308405
+-0.00422248
+-0.00563163
+-0.00704811
+-0.00850302
+-0.00943315
+-0.00882477
+-0.00851392
+-0.00816451
+-0.00697605
+-0.00607084
+-0.00540865
+-0.00480756
+-0.00345129
+-0.00203422
+-0.000511679
+0.00120014
+0.0029054
+0.00453693
+0.00622236
+0.00804614
+0.00980874
+0.0116577
+0.0118672
+0.0113249
+0.0111552
+0.0113594
+0.0118904
+0.01278
+0.0139031
+0.0152426
+0.0167141
+0.0183223
+0.0200307
+0.0212022
+0.0208494
+0.0207037
+0.0207643
+0.0210286
+0.0214469
+0.0220387
+0.0227256
+0.0234969
+0.0244407
+0.025536
+0.0267185
+0.0264801
+0.0255715
+0.0248185
+0.0241894
+0.023746
+0.0234992
+0.0234371
+0.0235186
+0.0238022
+0.0226899
+0.0213219
+0.0200993
+0.0190497
+0.0182043
+0.0175589
+0.0171535
+0.0170227
+0.0171705
+0.017542
+0.018171
+0.0190213
+0.0200588
+0.0212718
+0.0226162
+0.0240828
+0.0227802
+0.0213625
+0.020076
+0.0189449
+0.0180054
+0.0172939
+0.0168258
+0.0166211
+0.0167037
+0.0170446
+0.0176374
+0.0184625
+0.0194911
+0.020663
+0.0219876
+0.0226763
+0.0206227
+0.0185478
+0.0164913
+0.0144743
+0.0125055
+0.0106026
+0.00882046
+0.00707213
+0.00534955
+0.00402545
+0.0029379
+0.00130123
+-0.000606768
+-0.00136876
+-0.00272784
+-0.00406703
+-0.00549098
+-0.00685543
+-0.00780513
+-0.00705641
+-0.0066595
+-0.00661998
+-0.00647646
+-0.00569423
+-0.00476108
+-0.00399039
+-0.00337056
+-0.00214763
+-0.000905649
+0.000484855
+0.00220571
+0.00372491
+0.00548084
+0.00725785
+0.00901496
+0.0107674
+0.0124628
+0.0122971
+0.0121688
+0.012357
+0.0129191
+0.0137446
+0.0148451
+0.0161279
+0.0175781
+0.0191625
+0.0208292
+0.0216894
+0.0212698
+0.0210267
+0.0209925
+0.0211476
+0.0213478
+0.0217297
+0.0223211
+0.0230843
+0.0240057
+0.0250851
+0.0262836
+0.0265916
+0.0257052
+0.0249676
+0.0243424
+0.0239017
+0.0236565
+0.0235958
+0.0236767
+0.0239585
+0.0239639
+0.0226728
+0.0215263
+0.0205498
+0.0197636
+0.0191554
+0.0187845
+0.0186651
+0.0188019
+0.0191605
+0.019738
+0.0205337
+0.021507
+0.0226449
+0.0239122
+0.0252972
+0.0238249
+0.0224648
+0.0212441
+0.0201879
+0.0193233
+0.0186582
+0.0182122
+0.0180232
+0.0180994
+0.0184374
+0.0189996
+0.0197668
+0.0207382
+0.0218858
+0.023144
+0.0229635
+0.0209472
+0.0189696
+0.016985
+0.0150343
+0.0131506
+0.0113592
+0.00967248
+0.00797426
+0.00646074
+0.00531331
+0.00394166
+0.00237304
+0.000964369
+-3.68375e-05
+-0.001197
+-0.00253451
+-0.00382716
+-0.00487766
+-0.00574245
+-0.00523673
+-0.00481732
+-0.00470262
+-0.0047541
+-0.00473805
+-0.0043442
+-0.00323688
+-0.00231155
+-0.00168869
+-0.000852896
+0.000379984
+0.00169589
+0.00330713
+0.00495811
+0.00666848
+0.00828464
+0.00994265
+0.0117195
+0.0134506
+0.0133334
+0.0135675
+0.0140811
+0.0148878
+0.0159119
+0.0171561
+0.0185614
+0.0200751
+0.0217046
+0.0221191
+0.021637
+0.0212052
+0.0209433
+0.0208776
+0.0210411
+0.0214285
+0.0220055
+0.0227604
+0.0236944
+0.0247873
+0.0259995
+0.0268407
+0.0259632
+0.0252457
+0.0246877
+0.0242533
+0.0240117
+0.0239537
+0.0240334
+0.0243111
+0.02478
+0.0241469
+0.0230734
+0.0221546
+0.0214113
+0.0208598
+0.0205198
+0.0204105
+0.0205357
+0.0208836
+0.0214147
+0.0221503
+0.0230554
+0.024126
+0.0253317
+0.0264204
+0.0250097
+0.0237177
+0.0225649
+0.0215735
+0.0207667
+0.0201441
+0.0197317
+0.0195574
+0.0196276
+0.0199398
+0.0204656
+0.0211799
+0.0220891
+0.0231705
+0.024374
+0.0226226
+0.0209356
+0.0193223
+0.0175633
+0.015726
+0.0139644
+0.0122831
+0.0106115
+0.00909434
+0.00781956
+0.00657085
+0.00511931
+0.00367484
+0.00271818
+0.00154283
+0.000324971
+-0.000847603
+-0.0019478
+-0.00286285
+-0.00364796
+-0.00358558
+-0.00299569
+-0.00285947
+-0.00294786
+-0.0029581
+-0.0029379
+-0.00236754
+-0.00144746
+-0.000529614
+3.09564e-05
+0.000790876
+0.00187036
+0.0031179
+0.00453303
+0.00613995
+0.007682
+0.00941316
+0.0111613
+0.0128751
+0.0147128
+0.0149457
+0.0154135
+0.0161671
+0.0171565
+0.0183163
+0.0196527
+0.0211321
+0.0227151
+0.0221943
+0.0215583
+0.0210999
+0.0208428
+0.0207768
+0.0209411
+0.0213259
+0.0218858
+0.0226446
+0.0235832
+0.0246811
+0.0258913
+0.027212
+0.0263468
+0.0256401
+0.0251052
+0.0247275
+0.0244906
+0.0244485
+0.024581
+0.0248525
+0.0253114
+0.0257125
+0.0246891
+0.0238238
+0.0231342
+0.0226329
+0.0223199
+0.0222195
+0.0223345
+0.022657
+0.0231475
+0.02383
+0.0246887
+0.0257034
+0.0268453
+0.0276677
+0.0263239
+0.0250997
+0.0240132
+0.0230818
+0.0223183
+0.0217398
+0.0213582
+0.0211973
+0.0212621
+0.0215503
+0.0220282
+0.0227033
+0.0235623
+0.024578
+0.0237411
+0.0219544
+0.0202294
+0.0185547
+0.0169963
+0.0153861
+0.0138979
+0.0126006
+0.0112911
+0.0101695
+0.00909778
+0.00774057
+0.00641417
+0.00532735
+0.00425688
+0.00314468
+0.00205864
+0.00101013
+-1.05106e-06
+-0.000841577
+-0.00161084
+-0.0018568
+-0.00120205
+-0.00101198
+-0.00117283
+-0.00123561
+-0.0013236
+-0.00116473
+-0.00026904
+0.000407277
+0.000639056
+0.000967575
+0.00179491
+0.0028049
+0.00423359
+0.00588228
+0.00741514
+0.00893232
+0.0105654
+0.0123584
+0.0142629
+0.0161595
+0.0169255
+0.0176145
+0.0185355
+0.0196458
+0.0209017
+0.0222985
+0.0231449
+0.0223218
+0.021671
+0.0212026
+0.0209467
+0.0208811
+0.0210446
+0.0214275
+0.0219848
+0.0227403
+0.0236751
+0.0247388
+0.0259392
+0.0277359
+0.0268876
+0.0261955
+0.0256722
+0.0253282
+0.0251455
+0.0251045
+0.0252371
+0.0255234
+0.0259722
+0.0265782
+0.0263799
+0.0255718
+0.0249306
+0.0244616
+0.0241723
+0.0240796
+0.0241858
+0.0244883
+0.0249465
+0.0255811
+0.0263828
+0.027337
+0.0284283
+0.0290269
+0.0277409
+0.0265725
+0.0255389
+0.0246571
+0.0239438
+0.0234087
+0.0230548
+0.0229058
+0.0229658
+0.0232331
+0.0236737
+0.0243031
+0.0251085
+0.0251703
+0.0232874
+0.021463
+0.0197133
+0.0180007
+0.0163913
+0.0146986
+0.0130337
+0.0115277
+0.0102364
+0.00917789
+0.00834526
+0.0077369
+0.00762229
+0.00702441
+0.0059849
+0.00491893
+0.00395418
+0.00294988
+0.00197763
+0.00117704
+0.000382893
+0.000124913
+0.000763997
+0.00096152
+0.000604348
+0.000534014
+0.000500444
+0.000511071
+0.000211032
+-0.000171962
+-0.00119276
+-0.000959778
+-0.000234899
+0.00120248
+0.00313054
+0.00518533
+0.0068625
+0.00841764
+0.0101764
+0.0120178
+0.0139045
+0.0158001
+0.0177637
+0.0192033
+0.0200514
+0.0210821
+0.0222811
+0.0235972
+0.023243
+0.0224235
+0.0217883
+0.0213224
+0.0210751
+0.0210294
+0.0211917
+0.0215764
+0.0221718
+0.022941
+0.0238681
+0.0249536
+0.0261711
+0.0284195
+0.0275922
+0.0269182
+0.0264093
+0.026075
+0.0259222
+0.0259295
+0.0260579
+0.0263353
+0.0267813
+0.0273835
+0.0281248
+0.0273835
+0.0267857
+0.0263457
+0.0260773
+0.0259914
+0.0260898
+0.0263705
+0.0268039
+0.0273955
+0.0281456
+0.0290419
+0.0300715
+0.0304535
+0.0292294
+0.0281229
+0.0271484
+0.0263206
+0.0256536
+0.0251549
+0.0248259
+0.0246876
+0.0247432
+0.0249916
+0.0254017
+0.0259892
+0.0264032
+0.0244444
+0.0225285
+0.0206672
+0.0188768
+0.0171783
+0.0154624
+0.0137699
+0.0122072
+0.0106378
+0.0091029
+0.00779958
+0.00683778
+0.00629358
+0.00637359
+0.00695023
+0.00785337
+0.00683927
+0.00592015
+0.00488343
+0.00397333
+0.00317775
+0.00245035
+0.0022426
+0.00280296
+0.00294836
+0.00256678
+0.00239815
+0.00244001
+0.000527294
+-0.00129302
+-0.00211156
+-0.00294161
+-0.0030151
+-0.00152758
+0.000540977
+0.00265262
+0.0043807
+0.00604138
+0.0078801
+0.00976069
+0.0117363
+0.0137379
+0.0156631
+0.017642
+0.0196549
+0.0216739
+0.0226395
+0.02376
+0.0244429
+0.0234613
+0.0226497
+0.0220127
+0.0215682
+0.0213237
+0.0212785
+0.0214389
+0.0218193
+0.0224083
+0.0231901
+0.0241196
+0.0252015
+0.0264142
+0.0292516
+0.0284485
+0.0277953
+0.0273027
+0.0269795
+0.0268319
+0.0268627
+0.0270318
+0.0272993
+0.0277378
+0.028322
+0.0290578
+0.0292472
+0.0286883
+0.0282739
+0.028024
+0.0279441
+0.0280357
+0.028297
+0.0287084
+0.0292615
+0.0299649
+0.0308084
+0.0317807
+0.0319658
+0.0308018
+0.0297539
+0.0288346
+0.0280566
+0.0274318
+0.026966
+0.0266594
+0.0265307
+0.0265825
+0.0268137
+0.0271964
+0.0276287
+0.0255764
+0.023549
+0.0215536
+0.0196
+0.0177019
+0.0158782
+0.0141485
+0.0124859
+0.010769
+0.00921834
+0.00790689
+0.00631297
+0.00508737
+0.00447353
+0.00457465
+0.00540223
+0.00668215
+0.00822295
+0.00788052
+0.00684506
+0.00599772
+0.00522262
+0.00457395
+0.00441187
+0.00479795
+0.00502027
+0.00463423
+0.00440314
+0.0025086
+0.000474269
+-0.00157281
+-0.0035266
+-0.00469437
+-0.0035433
+-0.00163448
+0.000227524
+0.00196341
+0.00373428
+0.00555889
+0.0075068
+0.00952128
+0.0115648
+0.0136313
+0.0156274
+0.0176298
+0.0196234
+0.0216235
+0.0236574
+0.0253423
+0.0247905
+0.0238232
+0.0230243
+0.0224118
+0.0219974
+0.0217837
+0.0217466
+0.0219036
+0.022276
+0.0228532
+0.0236203
+0.0245337
+0.0256017
+0.0268066
+0.0302199
+0.0294432
+0.0288126
+0.0283376
+0.0280264
+0.0278843
+0.0279139
+0.0280947
+0.028398
+0.0288216
+0.0293942
+0.0301037
+0.0309266
+0.0306269
+0.030238
+0.0300044
+0.0299298
+0.0300153
+0.0302596
+0.0306496
+0.0311683
+0.0318296
+0.0326249
+0.0335446
+0.0335531
+0.0324461
+0.031453
+0.0305848
+0.0298524
+0.0292661
+0.0288299
+0.0285433
+0.0284231
+0.0284715
+0.0286875
+0.0286103
+0.0270116
+0.0249153
+0.0228293
+0.0207649
+0.0187292
+0.0167326
+0.0147898
+0.012915
+0.0111549
+0.00955514
+0.00781061
+0.0063005
+0.00486594
+0.00347996
+0.0026202
+0.0027659
+0.00380714
+0.00530944
+0.00710427
+0.00904436
+0.00871261
+0.00798822
+0.00730692
+0.00672534
+0.00658731
+0.00686938
+0.00715801
+0.00675595
+0.00501314
+0.00297639
+0.00105487
+-0.000916757
+-0.00252708
+-0.00424342
+-0.00342423
+-0.00190773
+-0.000164778
+0.00174673
+0.00357332
+0.0056104
+0.0076361
+0.00964575
+0.0116832
+0.0137532
+0.0158526
+0.0177672
+0.0197359
+0.0217471
+0.0237756
+0.0258258
+0.0252403
+0.0242909
+0.0235079
+0.0229084
+0.022507
+0.0223024
+0.0222825
+0.0224771
+0.0228808
+0.0234827
+0.0242341
+0.0251326
+0.0261762
+0.0273558
+0.0313117
+0.0305628
+0.0299557
+0.0294992
+0.0292004
+0.029064
+0.0290924
+0.0292547
+0.0295572
+0.0300061
+0.030583
+0.0312633
+0.0320523
+0.0325963
+0.0322312
+0.0320122
+0.0319423
+0.0320224
+0.0322515
+0.0326211
+0.0331089
+0.0337322
+0.0344836
+0.035355
+0.0352052
+0.0341518
+0.0332097
+0.0323887
+0.031698
+0.0311464
+0.0307347
+0.030466
+0.0303534
+0.0301293
+0.0285686
+0.0270952
+0.0257238
+0.0242999
+0.0222791
+0.0201842
+0.0180832
+0.0160063
+0.0139627
+0.0119589
+0.0100324
+0.00821763
+0.00660419
+0.00488346
+0.00340627
+0.00193835
+0.000617391
+0.00105531
+0.00247111
+0.00433219
+0.00638689
+0.00840138
+0.0104549
+0.00990779
+0.00932882
+0.00889512
+0.0087656
+0.00899117
+0.0092353
+0.00775311
+0.00579998
+0.00394598
+0.00215383
+0.0004039
+-0.00149095
+-0.00264303
+-0.00223869
+-0.000403465
+0.00105816
+0.00260117
+0.00422934
+0.00611211
+0.00801452
+0.00999883
+0.0120549
+0.014088
+0.0161439
+0.0181388
+0.0200711
+0.0220518
+0.0240689
+0.026114
+0.0258648
+0.0249392
+0.0241772
+0.0235946
+0.0232051
+0.0230067
+0.0229874
+0.0231761
+0.0235678
+0.0241527
+0.024917
+0.0258214
+0.0268707
+0.0280522
+0.0325147
+0.0317941
+0.031211
+0.0307731
+0.0304868
+0.0303321
+0.0303288
+0.0304833
+0.0307915
+0.0312228
+0.0317993
+0.0325134
+0.0332844
+0.0341673
+0.0342486
+0.0340426
+0.0339768
+0.0340522
+0.0342677
+0.034619
+0.035079
+0.0356679
+0.0363793
+0.0372064
+0.0369134
+0.0359101
+0.0350154
+0.0342377
+0.033585
+0.0330557
+0.0326594
+0.0322894
+0.0305497
+0.0288546
+0.0272272
+0.025677
+0.0242259
+0.0228905
+0.0216176
+0.019565
+0.0175459
+0.0155564
+0.0134452
+0.0113503
+0.00929862
+0.00730372
+0.00538019
+0.003623
+0.00195839
+0.000671544
+-0.00110422
+-0.00054544
+0.00152341
+0.00357168
+0.00562069
+0.00771971
+0.00985871
+0.0118288
+0.0114055
+0.0110732
+0.0109486
+0.0111369
+0.0106568
+0.008805
+0.00694944
+0.00500626
+0.00311101
+0.00145099
+0.000183323
+-0.00103173
+-0.000529776
+0.000830671
+0.0024642
+0.00407769
+0.0055679
+0.00714364
+0.00892194
+0.010747
+0.0126823
+0.0146895
+0.0167069
+0.0187317
+0.0206348
+0.022566
+0.0245409
+0.0265496
+0.0266386
+0.0257408
+0.0250033
+0.0244404
+0.0240646
+0.0238613
+0.0238427
+0.0240247
+0.0244028
+0.0249681
+0.0257082
+0.0266086
+0.0276324
+0.0287801
+0.033787
+0.0330941
+0.0325343
+0.0321145
+0.031825
+0.0316706
+0.0316674
+0.0318154
+0.0321124
+0.0325328
+0.0330864
+0.0337734
+0.0345857
+0.0354612
+0.0362861
+0.0360917
+0.0360297
+0.0361008
+0.0363041
+0.0366376
+0.0370738
+0.0376315
+0.0383065
+0.0390928
+0.0386702
+0.0377138
+0.0368629
+0.0361249
+0.0354956
+0.0348445
+0.032989
+0.0311754
+0.0294077
+0.02769
+0.0259898
+0.024361
+0.0228263
+0.0214062
+0.0201148
+0.018854
+0.0169279
+0.0149361
+0.0129365
+0.0110098
+0.00898657
+0.0068739
+0.00479425
+0.00269468
+0.000652938
+-0.000956681
+-0.00232626
+-0.0012179
+0.000892564
+0.00303898
+0.00520682
+0.00738046
+0.00954684
+0.0116752
+0.0135181
+0.0132553
+0.0131341
+0.0132973
+0.0116214
+0.00969213
+0.00778295
+0.00600111
+0.00436974
+0.00301892
+0.00175682
+0.000765457
+0.00125974
+0.00252487
+0.00389616
+0.00536843
+0.00701942
+0.00859795
+0.0101615
+0.011852
+0.0136367
+0.015521
+0.0174768
+0.0193608
+0.0212524
+0.0231966
+0.0251814
+0.0271555
+0.0275594
+0.0266926
+0.025982
+0.0254409
+0.02508
+0.0248764
+0.0248585
+0.0250331
+0.0253962
+0.0259398
+0.026653
+0.0275225
+0.028515
+0.0296234
+0.035136
+0.0344703
+0.0339332
+0.0335309
+0.0332478
+0.0331001
+0.033097
+0.0332386
+0.0335231
+0.0339337
+0.0344649
+0.0351249
+0.0359066
+0.0368023
+0.0377629
+0.0381566
+0.0380979
+0.0381651
+0.0383576
+0.0386733
+0.0390896
+0.0396189
+0.0402606
+0.0410095
+0.0404695
+0.0395565
+0.0387456
+0.037853
+0.0358857
+0.0339458
+0.0320383
+0.0301692
+0.0283462
+0.0265748
+0.0248661
+0.0231777
+0.0215589
+0.0200492
+0.0186699
+0.0174277
+0.0161015
+0.014201
+0.0122153
+0.0102977
+0.00848817
+0.00653724
+0.00453079
+0.00250874
+0.000418526
+-0.00173098
+-0.00312446
+-0.00141602
+0.000741244
+0.00290372
+0.0050844
+0.00726917
+0.00945521
+0.0116425
+0.0138309
+0.0154372
+0.0153212
+0.0140339
+0.0124509
+0.0106164
+0.00887953
+0.00730791
+0.00588279
+0.00443556
+0.00340883
+0.00277511
+0.00318757
+0.0042963
+0.00558706
+0.00688073
+0.00830792
+0.00980611
+0.011425
+0.0131555
+0.0148235
+0.0166017
+0.0184122
+0.0199828
+0.021661
+0.023424
+0.025254
+0.0271345
+0.0286096
+0.0277756
+0.0270935
+0.026575
+0.0262298
+0.0260366
+0.0260195
+0.0261864
+0.0265337
+0.0270545
+0.027739
+0.0285606
+0.0295187
+0.0305946
+0.0365667
+0.0359275
+0.0354125
+0.0350272
+0.0347506
+0.0346092
+0.0346063
+0.0347417
+0.035014
+0.0354149
+0.0359241
+0.0365578
+0.0373095
+0.0381723
+0.0391388
+0.0401672
+0.0401791
+0.0402429
+0.0404254
+0.0407251
+0.0411233
+0.0416268
+0.042238
+0.0429524
+0.0423056
+0.0412256
+0.0391828
+0.0371568
+0.0351506
+0.0331677
+0.0312126
+0.0292909
+0.0274096
+0.0255775
+0.0238062
+0.0221026
+0.0204476
+0.0188498
+0.0173756
+0.0160485
+0.0147748
+0.0133646
+0.0116284
+0.00960127
+0.00763645
+0.00582302
+0.00385117
+0.00185971
+2.12132e-05
+-0.00103446
+-0.00148904
+-0.000601544
+0.00117611
+0.00316603
+0.00527598
+0.00740692
+0.00956412
+0.0117337
+0.01391
+0.0160901
+0.0144136
+0.0126685
+0.0110449
+0.0094422
+0.0080465
+0.0069646
+0.00635912
+0.00607773
+0.00528544
+0.0049085
+0.00519784
+0.00612812
+0.00736076
+0.00857317
+0.00937344
+0.0101008
+0.0112036
+0.0125309
+0.0139527
+0.0153653
+0.0169352
+0.0186303
+0.02042
+0.022281
+0.0241783
+0.0261191
+0.0280968
+0.0289816
+0.0283286
+0.0278331
+0.0274877
+0.0272963
+0.0272801
+0.0274393
+0.0277709
+0.0282689
+0.0289179
+0.0297035
+0.0306258
+0.0316731
+0.0380696
+0.0374561
+0.0369624
+0.0365894
+0.0363233
+0.0361881
+0.0361853
+0.0363149
+0.0365754
+0.0369642
+0.0374547
+0.0380629
+0.0387855
+0.0396161
+0.0405483
+0.041575
+0.0422689
+0.0423295
+0.0425031
+0.0427882
+0.0431724
+0.0436522
+0.0442355
+0.0448655
+0.0427824
+0.0407054
+0.038635
+0.0365787
+0.0345389
+0.0325188
+0.0305222
+0.028554
+0.0266207
+0.0247302
+0.0228934
+0.0211195
+0.0194251
+0.0178099
+0.0162691
+0.0148492
+0.0135198
+0.0121417
+0.0106727
+0.00887128
+0.00710196
+0.00519843
+0.00338419
+0.00168654
+0.000722009
+6.81238e-05
+-9.75313e-05
+0.000371181
+0.00196573
+0.00389494
+0.0059745
+0.00799634
+0.0100677
+0.0121735
+0.0142976
+0.0152922
+0.0133397
+0.0114394
+0.00965391
+0.00801001
+0.00646941
+0.00513066
+0.00431813
+0.00424537
+0.00486621
+0.00584778
+0.00550956
+0.00584062
+0.0066937
+0.00724849
+0.00764702
+0.00851882
+0.0097924
+0.0109797
+0.0123439
+0.01391
+0.0156261
+0.0174489
+0.0193303
+0.0212623
+0.0232402
+0.0252532
+0.0272898
+0.0293404
+0.0296741
+0.0291864
+0.0288403
+0.0286579
+0.0286425
+0.0287941
+0.0291103
+0.0295858
+0.0302066
+0.0309594
+0.0318454
+0.0328538
+0.0396368
+0.0390479
+0.0385745
+0.0382121
+0.0379574
+0.0378281
+0.0378254
+0.0379493
+0.0381987
+0.0385712
+0.0390483
+0.039632
+0.0403265
+0.041126
+0.0420247
+0.0430162
+0.0440944
+0.044422
+0.0445874
+0.0448593
+0.0452348
+0.0456929
+0.0462504
+0.044475
+0.0423728
+0.0402799
+0.0381944
+0.0361184
+0.0340568
+0.0320069
+0.0299762
+0.0279697
+0.0259929
+0.0240532
+0.0221604
+0.0203225
+0.0185555
+0.0168725
+0.0153049
+0.0137898
+0.0124051
+0.0110372
+0.00950197
+0.00800087
+0.00627257
+0.00465671
+0.00315082
+0.00202175
+0.00146364
+0.00118243
+0.00100749
+0.00166667
+0.002827
+0.00453896
+0.00652607
+0.00861251
+0.0106902
+0.0127693
+0.0148377
+0.0145589
+0.0124924
+0.0104736
+0.00852175
+0.00671576
+0.00503477
+0.0035999
+0.00243274
+0.00223907
+0.00304432
+0.00387667
+0.0034017
+0.00380919
+0.00490859
+0.0056515
+0.00616414
+0.00719621
+0.00810111
+0.00937267
+0.0109256
+0.0126673
+0.0145162
+0.0164301
+0.0184058
+0.0204254
+0.022462
+0.0245248
+0.0266082
+0.0287075
+0.0308146
+0.0306208
+0.0302911
+0.0301175
+0.0301028
+0.0302471
+0.0305483
+0.0310017
+0.0315947
+0.0323152
+0.033165
+0.0341345
+0.0412607
+0.0406953
+0.0402414
+0.0398892
+0.0396452
+0.0395214
+0.0395188
+0.0396375
+0.0398764
+0.0402332
+0.0406974
+0.0412578
+0.0419253
+0.0426949
+0.0435612
+0.0445186
+0.0455612
+0.0465235
+0.0466815
+0.0469413
+0.0473012
+0.0477469
+0.0463133
+0.0441898
+0.0420733
+0.0399648
+0.0378619
+0.0357666
+0.0336835
+0.0316149
+0.0295638
+0.0275343
+0.0255315
+0.0235612
+0.0216253
+0.0197377
+0.017913
+0.0161633
+0.0145216
+0.0129644
+0.0115489
+0.0101414
+0.00854423
+0.00691585
+0.00551359
+0.00404544
+0.00281522
+0.00214183
+0.00199051
+0.00176451
+0.00174369
+0.00255287
+0.00374319
+0.00528467
+0.00698456
+0.00883645
+0.0106099
+0.0122819
+0.0139902
+0.014028
+0.0119017
+0.00980389
+0.00774577
+0.00572665
+0.00386408
+0.00223765
+0.000767409
+0.000421408
+0.00189389
+0.0021472
+0.00138735
+0.00186515
+0.0033724
+0.00444799
+0.00498027
+0.00546716
+0.00652063
+0.00802782
+0.00978614
+0.0116536
+0.013611
+0.0156211
+0.0176729
+0.0197502
+0.021845
+0.0239508
+0.0260706
+0.0282013
+0.0303405
+0.0321406
+0.0318266
+0.0316615
+0.0316475
+0.0317848
+0.0320715
+0.0325037
+0.0330697
+0.0337588
+0.0345732
+0.0355042
+0.0429351
+0.042392
+0.0419564
+0.041614
+0.0413802
+0.0412616
+0.0412591
+0.0413728
+0.0416017
+0.0419439
+0.0423954
+0.0429338
+0.0435757
+0.0443167
+0.0451518
+0.0460761
+0.0470843
+0.0481711
+0.048784
+0.0490327
+0.0493773
+0.0482423
+0.0461436
+0.044012
+0.0418865
+0.039768
+0.0376542
+0.0355466
+0.0334498
+0.0313658
+0.0292973
+0.027248
+0.0252224
+0.0232268
+0.0212697
+0.0193626
+0.017522
+0.0157296
+0.0140374
+0.0124197
+0.0109586
+0.00960366
+0.00794697
+0.00627387
+0.00479912
+0.00357827
+0.00266435
+0.00219801
+0.00220018
+0.00233874
+0.00222251
+0.00311322
+0.00418665
+0.00541812
+0.00686859
+0.00830514
+0.00994152
+0.0116816
+0.0134189
+0.0137662
+0.0116073
+0.0094631
+0.00730822
+0.00516187
+0.00307413
+0.0010751
+-0.000529713
+-0.000443372
+0.000480831
+0.000950362
+-0.000240766
+0.000786421
+0.00249608
+0.00370149
+0.00347399
+0.0040029
+0.00533284
+0.00700219
+0.0088879
+0.0108884
+0.0129506
+0.0150361
+0.0171384
+0.0192605
+0.0213964
+0.0235424
+0.0256959
+0.0278552
+0.0300191
+0.0321866
+0.0334353
+0.0332781
+0.0332648
+0.0333955
+0.0336685
+0.0340804
+0.0346207
+0.0352794
+0.0360595
+0.0369531
+0.0446541
+0.0441322
+0.0437138
+0.0433809
+0.0431567
+0.043043
+0.0430406
+0.0431496
+0.0433691
+0.0436975
+0.0441323
+0.0446544
+0.0452719
+0.0459856
+0.046791
+0.0476835
+0.0486584
+0.0497107
+0.0508357
+0.0511324
+0.0502214
+0.0481213
+0.0460298
+0.0439427
+0.0418137
+0.0396914
+0.0375732
+0.0354609
+0.0333586
+0.0312685
+0.0291932
+0.027136
+0.0251014
+0.0230953
+0.021126
+0.0192047
+0.0173474
+0.0155614
+0.0138799
+0.0122483
+0.0107637
+0.00941932
+0.00781854
+0.0062283
+0.00479285
+0.00368116
+0.00284177
+0.00239942
+0.0025309
+0.0027689
+0.00277976
+0.00342857
+0.00428464
+0.00520076
+0.00655323
+0.00804696
+0.00967685
+0.0114179
+0.0131791
+0.0137474
+0.011585
+0.00943573
+0.00731105
+0.00521154
+0.00315128
+0.00125628
+-0.000549246
+-0.000938161
+0.000742136
+0.000322726
+-0.000943413
+-0.000412516
+0.00159879
+0.00277525
+0.00225821
+0.00295763
+0.00450635
+0.00637286
+0.00838903
+0.0104743
+0.0125792
+0.0147065
+0.0168501
+0.0190043
+0.0211661
+0.0233333
+0.0255045
+0.0276787
+0.0298554
+0.032034
+0.0342141
+0.0349573
+0.0349446
+0.0350691
+0.0353291
+0.0357219
+0.0362377
+0.0368676
+0.0376147
+0.0384722
+0.0464129
+0.045911
+0.0455046
+0.0451849
+0.0449697
+0.0448606
+0.0448583
+0.0449629
+0.0451736
+0.0454889
+0.0459068
+0.0464147
+0.0470091
+0.0476967
+0.0484737
+0.0493358
+0.0502786
+0.0512978
+0.0523887
+0.0523091
+0.0502008
+0.0480999
+0.0460074
+0.0439244
+0.0418524
+0.0397356
+0.0376199
+0.0355103
+0.0334112
+0.0313246
+0.0292532
+0.0272005
+0.0251711
+0.0231712
+0.0212089
+0.0192958
+0.0174482
+0.0156737
+0.0140057
+0.0124235
+0.0109598
+0.00965251
+0.00821627
+0.00675604
+0.00551795
+0.00456355
+0.00377614
+0.00346439
+0.00354132
+0.00386646
+0.00380146
+0.00399983
+0.00472125
+0.00559497
+0.00687845
+0.00829449
+0.0098357
+0.0114935
+0.0132422
+0.0140738
+0.0119705
+0.00990462
+0.00785776
+0.00591488
+0.00411268
+0.00244171
+0.0011195
+0.000683883
+0.00178581
+0.000606409
+-0.000167001
+-0.000195356
+0.00163447
+0.00289137
+0.00218606
+0.00285112
+0.0044717
+0.00635246
+0.00837692
+0.0104646
+0.0125711
+0.0146996
+0.016844
+0.018999
+0.0211613
+0.0233289
+0.0255005
+0.0276751
+0.029852
+0.0320308
+0.0342111
+0.0363927
+0.0366784
+0.036797
+0.0370449
+0.0374197
+0.0379124
+0.0385149
+0.0392307
+0.0400536
+0.0482071
+0.0477241
+0.0473291
+0.0470218
+0.046815
+0.0467102
+0.046708
+0.0468085
+0.0470109
+0.047314
+0.0477158
+0.0482102
+0.0487827
+0.0494457
+0.0501956
+0.0510287
+0.0519408
+0.0529279
+0.0539859
+0.0523811
+0.0502758
+0.0481782
+0.0460892
+0.0440101
+0.0419424
+0.0398869
+0.0377795
+0.0356821
+0.0335966
+0.0315255
+0.0294716
+0.0274388
+0.0254301
+0.0234495
+0.021505
+0.0196125
+0.0177886
+0.0160566
+0.0144424
+0.0129405
+0.0115422
+0.0102615
+0.00907587
+0.00778053
+0.00675431
+0.00592979
+0.00521264
+0.00502544
+0.00510376
+0.00545168
+0.00516691
+0.00524774
+0.00569903
+0.0064866
+0.0076458
+0.00900547
+0.010392
+0.011945
+0.013659
+0.0147225
+0.0127
+0.0107394
+0.00888694
+0.00714306
+0.00552363
+0.00409395
+0.00322011
+0.00286423
+0.00349768
+0.00240158
+0.0019121
+0.00182237
+0.00272929
+0.0040644
+0.00349559
+0.00394449
+0.00526226
+0.00694527
+0.0088488
+0.0108565
+0.0129238
+0.0150158
+0.0171206
+0.0192447
+0.0213821
+0.0235294
+0.025684
+0.0278443
+0.0300089
+0.0321771
+0.0343481
+0.0365215
+0.0384552
+0.0385683
+0.038805
+0.0391629
+0.0396375
+0.0402142
+0.0409002
+0.0416902
+0.0500329
+0.0495676
+0.0491835
+0.0488878
+0.048689
+0.0485882
+0.0485861
+0.0486827
+0.0488773
+0.0491689
+0.0495558
+0.0500356
+0.0505891
+0.0512287
+0.0519529
+0.0527582
+0.0536409
+0.0545973
+0.054648
+0.0525441
+0.050446
+0.0483557
+0.0462747
+0.0442044
+0.0421462
+0.040102
+0.03803
+0.0359473
+0.0338781
+0.0318253
+0.029792
+0.0277828
+0.025803
+0.0238602
+0.0219641
+0.0201279
+0.0183643
+0.016678
+0.0151213
+0.0137385
+0.0124126
+0.0112299
+0.0102246
+0.00912709
+0.00830167
+0.00755353
+0.00698995
+0.00682601
+0.00693796
+0.00726581
+0.00682048
+0.00688094
+0.00713317
+0.00780567
+0.00880963
+0.0100659
+0.0112843
+0.0127351
+0.0143385
+0.0156101
+0.0137158
+0.0119234
+0.0102121
+0.00861322
+0.00715102
+0.00598987
+0.00536459
+0.00504905
+0.00528058
+0.00445415
+0.00406624
+0.00399203
+0.00452312
+0.00567311
+0.00535557
+0.00563086
+0.00665789
+0.00808532
+0.00977077
+0.0116203
+0.0135717
+0.0155868
+0.0176439
+0.0197287
+0.0218218
+0.0239296
+0.0260512
+0.0281833
+0.0303237
+0.0324709
+0.0346235
+0.0367806
+0.0389415
+0.0403805
+0.0406065
+0.0409487
+0.0414042
+0.041959
+0.0425075
+0.0429574
+0.0518869
+0.0514385
+0.0510645
+0.0507798
+0.0505884
+0.0504914
+0.0504894
+0.0505823
+0.0507697
+0.0510505
+0.0514232
+0.0518857
+0.0524247
+0.0530422
+0.053742
+0.0545209
+0.0553755
+0.0563024
+0.0548754
+0.0527819
+0.0506966
+0.0486206
+0.0465551
+0.0445015
+0.0424586
+0.0404264
+0.0384041
+0.0363428
+0.0342975
+0.0322713
+0.0302681
+0.0282926
+0.0263513
+0.024452
+0.0226056
+0.020826
+0.0191306
+0.017519
+0.016044
+0.0147481
+0.0135332
+0.0124504
+0.0115611
+0.0107175
+0.00999556
+0.0093764
+0.00891737
+0.0087804
+0.00884761
+0.00904481
+0.00866514
+0.0086383
+0.00882293
+0.00941099
+0.0102818
+0.011398
+0.0124871
+0.0138121
+0.0153016
+0.0167275
+0.014975
+0.0132913
+0.0117061
+0.0102301
+0.00893574
+0.00802933
+0.00745421
+0.00723399
+0.00725224
+0.00658162
+0.00624295
+0.00617504
+0.00653632
+0.00739981
+0.0073403
+0.00754339
+0.00833808
+0.00957823
+0.0110545
+0.0127187
+0.0145232
+0.016422
+0.0183859
+0.020396
+0.0224399
+0.0245078
+0.0265934
+0.028686
+0.0307916
+0.0329082
+0.035034
+0.0371673
+0.0393069
+0.0414518
+0.0424384
+0.042461
+0.0425964
+0.0428348
+0.0431703
+0.0436134
+0.0537663
+0.0533324
+0.0529693
+0.0526949
+0.0525105
+0.0524171
+0.0524151
+0.0525046
+0.0526852
+0.0529558
+0.0533152
+0.0537615
+0.0542867
+0.0548833
+0.0555599
+0.0563136
+0.0571414
+0.057278
+0.0551887
+0.0531075
+0.0510355
+0.0489739
+0.0469239
+0.0448872
+0.0428627
+0.0408506
+0.0388578
+0.0368644
+0.0348498
+0.0328577
+0.0308925
+0.0289597
+0.0270662
+0.0252209
+0.0234351
+0.0217235
+0.020104
+0.018577
+0.017193
+0.0159483
+0.0148383
+0.013896
+0.0131091
+0.0124662
+0.0118304
+0.0113054
+0.0109347
+0.0108129
+0.010829
+0.0109305
+0.0106184
+0.0105202
+0.0106705
+0.0111758
+0.0119186
+0.0129442
+0.0139326
+0.0151315
+0.0164819
+0.0178768
+0.0163776
+0.0147996
+0.0133081
+0.011953
+0.0108645
+0.0101321
+0.00958905
+0.00941966
+0.00929116
+0.00873031
+0.0084269
+0.00836205
+0.00863635
+0.00930394
+0.00941669
+0.00957584
+0.0102136
+0.0112488
+0.0125838
+0.0140747
+0.0157244
+0.0174933
+0.0193487
+0.021268
+0.0232353
+0.0252381
+0.027268
+0.0293209
+0.0313924
+0.0334792
+0.0355748
+0.0376775
+0.0397897
+0.04191
+0.0432094
+0.0432316
+0.0433646
+0.0435988
+0.0439285
+0.044364
+0.0556684
+0.0552459
+0.0548955
+0.0546307
+0.0544529
+0.0543628
+0.0543609
+0.0544473
+0.0546214
+0.0548825
+0.0552293
+0.0556602
+0.0561724
+0.0567492
+0.0574038
+0.0581336
+0.0589359
+0.0576615
+0.0555866
+0.0535209
+0.0514655
+0.0494218
+0.0473912
+0.0453756
+0.0433738
+0.0413866
+0.0394209
+0.0374802
+0.0355288
+0.033577
+0.0316565
+0.0297733
+0.027935
+0.0261511
+0.0244334
+0.0227969
+0.0212399
+0.0197998
+0.0185075
+0.017325
+0.0163111
+0.0154851
+0.0147981
+0.0143176
+0.0137571
+0.0132686
+0.0129737
+0.0128632
+0.0128784
+0.0128915
+0.0126279
+0.0124883
+0.0126152
+0.0130563
+0.0137108
+0.0146345
+0.015519
+0.0165851
+0.0178441
+0.0190698
+0.0178942
+0.0163914
+0.0150032
+0.013808
+0.0128773
+0.0122657
+0.0117445
+0.0116068
+0.0113612
+0.0108838
+0.0106136
+0.0105506
+0.0107726
+0.0113123
+0.0115355
+0.0116657
+0.0121947
+0.013074
+0.0142389
+0.0156214
+0.0171227
+0.0187602
+0.0205013
+0.0223217
+0.0242035
+0.0261322
+0.0280975
+0.0300939
+0.0321157
+0.0341582
+0.0362181
+0.0382925
+0.0403792
+0.0424763
+0.044076
+0.0440977
+0.0442281
+0.0444577
+0.0447811
+0.0452084
+0.0575911
+0.0571793
+0.0568408
+0.0565852
+0.0564135
+0.0563265
+0.0563247
+0.056408
+0.0565761
+0.0568282
+0.0571632
+0.0575797
+0.0580759
+0.0586376
+0.0592713
+0.0599784
+0.0601922
+0.058125
+0.0560673
+0.05402
+0.0519844
+0.0499619
+0.0479542
+0.0459632
+0.0439882
+0.04203
+0.0400959
+0.0381895
+0.0363152
+0.034421
+0.0325503
+0.0307219
+0.028944
+0.0272262
+0.0255758
+0.0239963
+0.0225194
+0.0211666
+0.0199538
+0.0188296
+0.0178881
+0.0171376
+0.0165928
+0.0161694
+0.0157435
+0.0152783
+0.0150151
+0.014905
+0.0149366
+0.0149166
+0.0146715
+0.0144959
+0.0146054
+0.0150133
+0.0156039
+0.0164225
+0.017214
+0.0181823
+0.0193375
+0.0204287
+0.0194793
+0.0180698
+0.0168072
+0.0157495
+0.0149403
+0.0143641
+0.0139109
+0.0137949
+0.0134667
+0.0130333
+0.0128017
+0.0127399
+0.012927
+0.013378
+0.0136744
+0.0137869
+0.0142373
+0.0149973
+0.016023
+0.0172671
+0.0186736
+0.0201857
+0.0218133
+0.0235324
+0.0253245
+0.0271739
+0.0290689
+0.0310028
+0.0329688
+0.0349616
+0.0369768
+0.0390109
+0.0410611
+0.0431251
+0.0450325
+0.0450538
+0.0451814
+0.0454062
+0.0457229
+0.0461414
+0.0595322
+0.0591307
+0.0588034
+0.0585563
+0.0583904
+0.0583064
+0.0583047
+0.0583852
+0.0585476
+0.0587912
+0.0591151
+0.0595179
+0.0599981
+0.0605463
+0.0611603
+0.0618458
+0.0607155
+0.0586668
+0.0566287
+0.0546025
+0.0525894
+0.0505911
+0.0486094
+0.0466464
+0.0447016
+0.0427761
+0.0408773
+0.039008
+0.0371713
+0.035375
+0.0335635
+0.0317934
+0.0300788
+0.0284182
+0.0268275
+0.0253262
+0.0239315
+0.0226569
+0.0214982
+0.0204585
+0.0195767
+0.0188934
+0.0184279
+0.0180861
+0.0177743
+0.0173257
+0.0170935
+0.0169717
+0.017016
+0.0169782
+0.0167041
+0.0165466
+0.0166426
+0.0170223
+0.0175478
+0.0182849
+0.0190107
+0.0198928
+0.0209206
+0.0219133
+0.0211455
+0.0198369
+0.018694
+0.0177492
+0.0170351
+0.0164774
+0.0160839
+0.0159837
+0.0155956
+0.0151888
+0.0149906
+0.0149296
+0.0150919
+0.0154781
+0.0158221
+0.015927
+0.0163184
+0.0169855
+0.0178977
+0.0190195
+0.0203164
+0.0217338
+0.0232533
+0.0248731
+0.0265748
+0.0283438
+0.0301683
+0.0320359
+0.0339422
+0.0358809
+0.0378472
+0.0398368
+0.0418466
+0.0438737
+0.0459158
+0.0460942
+0.0462189
+0.0464388
+0.0467484
+0.0471579
+0.0614902
+0.0610983
+0.0607816
+0.0605426
+0.0603821
+0.0603009
+0.0602992
+0.0603771
+0.0605341
+0.0607698
+0.0610832
+0.0614731
+0.0619381
+0.0624736
+0.0630688
+0.0633515
+0.0613127
+0.0592846
+0.0572685
+0.0552658
+0.0532778
+0.0513063
+0.0493533
+0.0474211
+0.0455094
+0.0436181
+0.0417543
+0.0399238
+0.0381312
+0.0363823
+0.0346648
+0.032939
+0.0312714
+0.0296719
+0.0281522
+0.0267257
+0.0254083
+0.0241847
+0.0230984
+0.0221583
+0.0213566
+0.0207321
+0.0202912
+0.020059
+0.0198263
+0.019404
+0.0191969
+0.0190598
+0.0191181
+0.0190578
+0.0187723
+0.0186292
+0.0187145
+0.019053
+0.0195423
+0.0202068
+0.0208804
+0.0216898
+0.0225667
+0.02349
+0.0228848
+0.0216814
+0.020641
+0.0197893
+0.0191515
+0.0186087
+0.0182612
+0.018173
+0.0177396
+0.0173531
+0.0171799
+0.0171195
+0.0172633
+0.0176003
+0.017977
+0.0180792
+0.0184249
+0.0190183
+0.0198372
+0.020855
+0.0220441
+0.0233785
+0.0248024
+0.026327
+0.0279404
+0.029628
+0.0313778
+0.0331801
+0.0350256
+0.0369075
+0.0388218
+0.0407639
+0.0427301
+0.0447172
+0.0467224
+0.0472134
+0.0473352
+0.0475499
+0.0478523
+0.0482524
+0.0634614
+0.0630806
+0.0627739
+0.0625425
+0.0623872
+0.0623086
+0.0623069
+0.0623823
+0.0625343
+0.0627625
+0.063066
+0.0634437
+0.0638944
+0.0644164
+0.0649951
+0.0639991
+0.0619815
+0.0599761
+0.0579841
+0.0560069
+0.0540462
+0.0521038
+0.0501819
+0.0482828
+0.0464018
+0.0445467
+0.0427235
+0.0409363
+0.0391901
+0.0374906
+0.035834
+0.0341673
+0.0325627
+0.0310298
+0.0295799
+0.0282257
+0.0269565
+0.0258011
+0.0247858
+0.023925
+0.0231912
+0.0226184
+0.0222143
+0.0220122
+0.0218941
+0.0214999
+0.0213057
+0.0211686
+0.0212209
+0.0211597
+0.0208654
+0.0207341
+0.0208108
+0.0211157
+0.0215749
+0.0221503
+0.0227884
+0.0235394
+0.0242872
+0.0251474
+0.0246961
+0.0235853
+0.0226325
+0.0218585
+0.0212715
+0.0207523
+0.0204413
+0.0203625
+0.0198918
+0.0195233
+0.0193695
+0.0193096
+0.019439
+0.0197375
+0.0201396
+0.0202396
+0.020549
+0.0210827
+0.0218243
+0.0227533
+0.023848
+0.0250866
+0.0264424
+0.0278775
+0.0294059
+0.0310139
+0.0326896
+0.0344232
+0.0362064
+0.0380322
+0.0398931
+0.0417854
+0.0437057
+0.0456503
+0.0476163
+0.0483982
+0.0485171
+0.0487342
+0.0490293
+0.0494199
+0.0654455
+0.0650762
+0.064779
+0.0645548
+0.0644043
+0.0643282
+0.0643266
+0.0643996
+0.0645468
+0.0647679
+0.0650621
+0.0654283
+0.0658654
+0.0663719
+0.0667213
+0.0647144
+0.0627199
+0.0607388
+0.0587726
+0.0568229
+0.0548913
+0.0529799
+0.051091
+0.0492231
+0.0473772
+0.0455619
+0.043781
+0.0420388
+0.0403404
+0.0386914
+0.0370862
+0.0354781
+0.0339352
+0.032467
+0.0310839
+0.0297927
+0.0285841
+0.0274971
+0.0265467
+0.0257414
+0.0250624
+0.0245446
+0.024183
+0.0239974
+0.0239757
+0.0236069
+0.0234172
+0.0232926
+0.0233399
+0.023278
+0.0229768
+0.0228551
+0.0229247
+0.0232019
+0.0236211
+0.0241352
+0.024742
+0.0253657
+0.026078
+0.0268813
+0.0265645
+0.0255351
+0.0246579
+0.0239494
+0.023389
+0.0229049
+0.0226235
+0.0224952
+0.0220448
+0.0216977
+0.0215593
+0.0214999
+0.0216169
+0.0218852
+0.0223077
+0.0224059
+0.0226858
+0.0231703
+0.0238471
+0.0247002
+0.0257121
+0.0268649
+0.0281413
+0.0295093
+0.0309572
+0.0324885
+0.0340918
+0.0357575
+0.0374773
+0.039244
+0.0410516
+0.0428946
+0.0447673
+0.0466677
+0.0485925
+0.0496511
+0.0497669
+0.0499786
+0.0502742
+0.0506552
+0.0674423
+0.067084
+0.0667957
+0.0665783
+0.0664325
+0.0663586
+0.0663571
+0.0664278
+0.0665706
+0.066785
+0.0670703
+0.0674256
+0.0678498
+0.0683417
+0.0674789
+0.0654952
+0.0635252
+0.06157
+0.0596313
+0.0577106
+0.0558097
+0.0539309
+0.0520755
+0.0502393
+0.0484322
+0.046658
+0.0449205
+0.0432243
+0.0415743
+0.0399762
+0.0384175
+0.0368675
+0.0353853
+0.0339798
+0.0326609
+0.0314261
+0.0302827
+0.0292589
+0.028365
+0.0276121
+0.0269802
+0.0265067
+0.0261869
+0.0260157
+0.0260024
+0.0257278
+0.0255421
+0.0254279
+0.0254414
+0.0253822
+0.0251018
+0.0249882
+0.0250518
+0.0253057
+0.0256793
+0.026153
+0.0267324
+0.0272458
+0.0279101
+0.0286778
+0.028479
+0.0275213
+0.0267093
+0.0260567
+0.0255072
+0.025064
+0.0248071
+0.0246231
+0.0241991
+0.023875
+0.0237493
+0.0236902
+0.0237967
+0.0240407
+0.0244792
+0.0245759
+0.024832
+0.0252754
+0.0258972
+0.0266848
+0.0276241
+0.0287003
+0.0298984
+0.0312046
+0.0325821
+0.0340403
+0.0355738
+0.0371731
+0.0388302
+0.040538
+0.0422904
+0.0440819
+0.0459081
+0.0477639
+0.0496463
+0.0509673
+0.0510801
+0.0512864
+0.0515822
+0.0519536
+0.0694508
+0.069103
+0.0688231
+0.0686121
+0.0684706
+0.068399
+0.0683975
+0.0684661
+0.0686047
+0.0688127
+0.0690897
+0.0694346
+0.0698466
+0.0702711
+0.0682983
+0.0663392
+0.064395
+0.0624671
+0.060557
+0.0586666
+0.0567978
+0.0549528
+0.0531278
+0.0513289
+0.0495616
+0.0478293
+0.0461359
+0.0444861
+0.0428846
+0.0413373
+0.039825
+0.0383319
+0.0369086
+0.0355633
+0.0343053
+0.0331226
+0.0320398
+0.031074
+0.0302321
+0.0295268
+0.0289368
+0.0284958
+0.0282112
+0.0280524
+0.0280336
+0.0278596
+0.0276772
+0.027527
+0.0275282
+0.0274889
+0.0272326
+0.0271304
+0.027189
+0.0274231
+0.0277577
+0.0281966
+0.028702
+0.0291693
+0.0297907
+0.0305257
+0.0304307
+0.0295364
+0.0287813
+0.0281767
+0.0276367
+0.0272282
+0.0269919
+0.0267612
+0.0263518
+0.0260545
+0.0259393
+0.0258806
+0.0259783
+0.0262021
+0.0266049
+0.0267464
+0.0269853
+0.0273939
+0.0279686
+0.0286995
+0.0295749
+0.0305824
+0.0317096
+0.032944
+0.0342699
+0.0356592
+0.0371259
+0.0386611
+0.040257
+0.0419067
+0.043604
+0.0453437
+0.047121
+0.0489319
+0.0507727
+0.0523421
+0.052452
+0.0526529
+0.0529438
+0.0533103
+0.0714701
+0.0711321
+0.0708603
+0.0706553
+0.0705179
+0.0704484
+0.0704469
+0.0705136
+0.0706481
+0.0708502
+0.0711191
+0.0714543
+0.0718547
+0.0711259
+0.0691775
+0.067244
+0.0653267
+0.0634271
+0.0615469
+0.0596878
+0.057852
+0.0560388
+0.0542479
+0.0524874
+0.0507604
+0.0490705
+0.0474215
+0.0458179
+0.0442647
+0.0427605
+0.0413007
+0.039863
+0.0384963
+0.0372084
+0.0360038
+0.0348728
+0.0338461
+0.0329332
+0.0321401
+0.0314776
+0.0309248
+0.0305126
+0.0302535
+0.0301054
+0.0300867
+0.0299973
+0.0297746
+0.0296289
+0.0296301
+0.0295897
+0.0293544
+0.0292767
+0.0293342
+0.0295513
+0.0298523
+0.0302607
+0.0306906
+0.0311281
+0.0317112
+0.0324164
+0.032413
+0.0315748
+0.0308697
+0.0302909
+0.0297751
+0.0293963
+0.0291776
+0.0289071
+0.0285104
+0.0282358
+0.0281294
+0.028071
+0.0281614
+0.0283679
+0.0287404
+0.0289173
+0.0291442
+0.029523
+0.030057
+0.0307382
+0.0315571
+0.0325033
+0.033566
+0.0347345
+0.0359985
+0.0373365
+0.0387397
+0.0402134
+0.04175
+0.0433429
+0.0449861
+0.0466743
+0.0484028
+0.0501674
+0.0519644
+0.0537711
+0.0538781
+0.0540737
+0.0543569
+0.0547183
+0.0734991
+0.0731705
+0.0729063
+0.0727071
+0.0725736
+0.072506
+0.0725046
+0.0725694
+0.0727001
+0.0728965
+0.0731579
+0.0734838
+0.0738732
+0.0720372
+0.0701141
+0.0682071
+0.0663177
+0.0644473
+0.0625978
+0.0607709
+0.0589652
+0.057182
+0.0554281
+0.0537063
+0.0520198
+0.0503721
+0.0487671
+0.0472093
+0.0457011
+0.0442387
+0.0428347
+0.0414533
+0.0401408
+0.0389074
+0.0377471
+0.03667
+0.035695
+0.0348306
+0.0340821
+0.0334581
+0.0329386
+0.0325518
+0.0323093
+0.0321766
+0.032158
+0.0321281
+0.0318763
+0.0317428
+0.0317439
+0.031702
+0.0314856
+0.0314132
+0.0314856
+0.0316879
+0.031959
+0.0323415
+0.0326981
+0.033109
+0.0336578
+0.0343379
+0.0344206
+0.0336325
+0.0329713
+0.0324149
+0.0319206
+0.0315676
+0.031364
+0.0310593
+0.0306735
+0.0304185
+0.0303195
+0.0302615
+0.0303456
+0.0305373
+0.0308837
+0.0310907
+0.0313076
+0.0316604
+0.032159
+0.0327966
+0.0335653
+0.0344564
+0.0354606
+0.0365686
+0.0377712
+0.0390598
+0.0404079
+0.0418228
+0.0433023
+0.0448401
+0.0464304
+0.0480679
+0.049748
+0.0514665
+0.0532197
+0.0550043
+0.0553542
+0.0555445
+0.0558203
+0.0561764
+0.0755372
+0.0752175
+0.0749605
+0.0747668
+0.0746369
+0.0745712
+0.0745699
+0.0746328
+0.07476
+0.0749509
+0.0752052
+0.0755223
+0.0749159
+0.0730029
+0.0711059
+0.0692262
+0.0673654
+0.0655249
+0.0637061
+0.0619046
+0.0601288
+0.0583812
+0.0566645
+0.0549814
+0.0533352
+0.0517294
+0.0501679
+0.0486549
+0.0471889
+0.0457741
+0.0444185
+0.0430963
+0.0418353
+0.0406481
+0.0395287
+0.0385014
+0.037574
+0.0367538
+0.0360483
+0.0354633
+0.0349736
+0.0346096
+0.0343816
+0.0342617
+0.0342442
+0.0342391
+0.0339859
+0.0338665
+0.0338675
+0.0338241
+0.0336245
+0.0335567
+0.0336317
+0.0338258
+0.0340734
+0.034436
+0.0347236
+0.0351108
+0.0356288
+0.0362719
+0.0364492
+0.0357059
+0.0350839
+0.0345383
+0.0340718
+0.0337413
+0.0335509
+0.0332165
+0.0328402
+0.0326022
+0.0325097
+0.032452
+0.0325306
+0.0327095
+0.0330331
+0.0332664
+0.0334744
+0.0338047
+0.0342721
+0.034871
+0.035595
+0.0364365
+0.0373875
+0.03844
+0.0395859
+0.0408172
+0.042124
+0.0434831
+0.044908
+0.0463926
+0.0479313
+0.0495192
+0.0511517
+0.0528245
+0.0545341
+0.056277
+0.0568763
+0.0570616
+0.0573301
+0.0576803
+0.0775836
+0.0772723
+0.0770222
+0.0768337
+0.0767074
+0.0766434
+0.0766421
+0.0767034
+0.0768271
+0.0770129
+0.0772604
+0.0775691
+0.0759081
+0.0740208
+0.0721506
+0.0702989
+0.0684672
+0.0666525
+0.0648587
+0.0630901
+0.0613486
+0.0596368
+0.0579572
+0.0563128
+0.0547067
+0.0531424
+0.0516236
+0.0501546
+0.0487298
+0.047361
+0.0460522
+0.0447862
+0.0435742
+0.042421
+0.0413496
+0.0403687
+0.0394851
+0.0387055
+0.0380362
+0.0374832
+0.0370263
+0.0366827
+0.0364677
+0.0363591
+0.0363427
+0.0363437
+0.0361052
+0.0359972
+0.0359991
+0.0359545
+0.0357696
+0.0357059
+0.0357765
+0.0359633
+0.0361963
+0.03653
+0.036768
+0.037134
+0.0376241
+0.0382337
+0.0384956
+0.0377926
+0.0371993
+0.0366669
+0.0362278
+0.0359171
+0.0357383
+0.0353678
+0.03501
+0.0347868
+0.0346974
+0.0346425
+0.0347163
+0.0348841
+0.0351877
+0.0354439
+0.0356441
+0.0359545
+0.0363943
+0.0369589
+0.0376427
+0.0384394
+0.0393421
+0.0403436
+0.0414369
+0.0426148
+0.0438705
+0.0451886
+0.0465613
+0.0479948
+0.0494838
+0.0510234
+0.0526092
+0.0542371
+0.0559035
+0.057605
+0.0584409
+0.0586213
+0.0588826
+0.0592239
+0.0796377
+0.0793345
+0.0790909
+0.0789073
+0.0787843
+0.078722
+0.0787207
+0.0787804
+0.0789008
+0.0790818
+0.0793229
+0.0788281
+0.07695
+0.0750888
+0.0732459
+0.0714208
+0.069612
+0.0678258
+0.0660639
+0.0643284
+0.0626213
+0.0609453
+0.0593028
+0.0576967
+0.0561302
+0.0546067
+0.0531298
+0.051702
+0.0503189
+0.0489945
+0.0477305
+0.0465179
+0.0453405
+0.0442313
+0.0432048
+0.042267
+0.0414239
+0.0406815
+0.0400452
+0.0395204
+0.0390941
+0.0387688
+0.0385654
+0.038467
+0.0384514
+0.0384579
+0.0382326
+0.038132
+0.0381329
+0.0380917
+0.03792
+0.0378599
+0.0379264
+0.0381069
+0.0383269
+0.0386031
+0.0388284
+0.0391751
+0.0396401
+0.0402191
+0.0405571
+0.0398905
+0.0393163
+0.0388024
+0.0383877
+0.0380947
+0.0379261
+0.0375193
+0.0371822
+0.0369721
+0.0368847
+0.036833
+0.0369027
+0.0370605
+0.0373464
+0.037623
+0.0378145
+0.0381091
+0.0385243
+0.0390581
+0.0397058
+0.0404618
+0.0413203
+0.042275
+0.0433196
+0.0444476
+0.045653
+0.0469297
+0.0482575
+0.049642
+0.051083
+0.0525758
+0.0541161
+0.0557
+0.0573239
+0.0589844
+0.0600447
+0.0602203
+0.0604747
+0.0608071
+0.0816988
+0.0814033
+0.0811659
+0.0809871
+0.0808672
+0.0808066
+0.0808053
+0.0808634
+0.0809808
+0.0811571
+0.081392
+0.079892
+0.0780394
+0.0762049
+0.0743841
+0.0725831
+0.070804
+0.0690486
+0.0673187
+0.0656164
+0.0639438
+0.0623033
+0.0606976
+0.0591294
+0.0576019
+0.0561183
+0.0546823
+0.0532926
+0.0519517
+0.0506701
+0.0494488
+0.0482823
+0.0471405
+0.0460747
+0.0450901
+0.0441924
+0.0433867
+0.0426784
+0.0420724
+0.0415731
+0.0411637
+0.0408658
+0.040673
+0.0405836
+0.0405689
+0.0405766
+0.0403667
+0.0402715
+0.0402669
+0.0402346
+0.0400747
+0.0400178
+0.0400808
+0.0402555
+0.0404638
+0.0406886
+0.0409024
+0.0412316
+0.0416736
+0.0422248
+0.0426315
+0.0419978
+0.0414409
+0.0409436
+0.0405509
+0.0402736
+0.0401109
+0.039675
+0.0393564
+0.039158
+0.0390723
+0.0390236
+0.0390895
+0.0392385
+0.0395087
+0.0398033
+0.039985
+0.0402675
+0.0406606
+0.0411668
+0.0417818
+0.0425009
+0.043319
+0.0442306
+0.04523
+0.0463115
+0.0474696
+0.0486987
+0.0499921
+0.0513299
+0.0527248
+0.0541723
+0.0556685
+0.0572094
+0.0587916
+0.0604118
+0.0616846
+0.0618555
+0.0621033
+0.062427
+0.0837666
+0.0834784
+0.0832469
+0.0830725
+0.0829557
+0.0828966
+0.0828953
+0.082952
+0.0830664
+0.0832383
+0.0828453
+0.0810011
+0.0791717
+0.0773581
+0.0755644
+0.0737922
+0.072043
+0.0703185
+0.0686206
+0.0669514
+0.065313
+0.0637078
+0.0621384
+0.0606075
+0.0591182
+0.0576736
+0.0562773
+0.0549245
+0.0536244
+0.0523837
+0.0512033
+0.0500724
+0.0489724
+0.0479473
+0.047002
+0.0461414
+0.0453704
+0.0446936
+0.0441152
+0.0436364
+0.0432448
+0.0429615
+0.0427886
+0.0427077
+0.0426937
+0.0426673
+0.0425066
+0.0424162
+0.0424068
+0.0423825
+0.0422331
+0.0421792
+0.0422389
+0.0424085
+0.0426062
+0.0427845
+0.0429879
+0.0433013
+0.0437224
+0.044248
+0.044717
+0.0441132
+0.04357
+0.0430899
+0.0427169
+0.0424537
+0.0422481
+0.0418344
+0.0415324
+0.0413444
+0.0412603
+0.0412142
+0.0412767
+0.0414179
+0.0416739
+0.0419847
+0.042157
+0.0424292
+0.0428025
+0.0432836
+0.043869
+0.0445544
+0.0453355
+0.0462073
+0.0471648
+0.048203
+0.0493166
+0.0505008
+0.0517507
+0.0530545
+0.0544052
+0.0558092
+0.0572626
+0.0587617
+0.0603032
+0.0618839
+0.0633578
+0.0635242
+0.0637655
+0.0640808
+0.0858404
+0.0855592
+0.0853334
+0.0851633
+0.0850493
+0.0849916
+0.0849904
+0.0850457
+0.0851573
+0.085325
+0.083972
+0.0821476
+0.0803414
+0.0785547
+0.076789
+0.0750457
+0.0733264
+0.0716328
+0.0699669
+0.0683305
+0.066726
+0.0651556
+0.0636219
+0.0621276
+0.0606756
+0.059269
+0.0579101
+0.0565941
+0.0553333
+0.0541318
+0.0529903
+0.0518932
+0.0508326
+0.0498458
+0.0489372
+0.0481112
+0.0473723
+0.0467245
+0.0461716
+0.0457099
+0.0453362
+0.045066
+0.0449013
+0.0448382
+0.0448249
+0.0447665
+0.0446148
+0.0445653
+0.0445516
+0.0445345
+0.0443943
+0.0443434
+0.0444002
+0.0445648
+0.0447533
+0.0448895
+0.0450834
+0.0453824
+0.0457843
+0.0462865
+0.0468121
+0.0462255
+0.045698
+0.0452404
+0.0448853
+0.0446349
+0.0443904
+0.0439969
+0.0437098
+0.0435312
+0.0434486
+0.0434047
+0.0434643
+0.0435984
+0.0438417
+0.044167
+0.0443309
+0.0445938
+0.0449491
+0.0454074
+0.0459657
+0.0466204
+0.0473674
+0.0482025
+0.0491212
+0.0501188
+0.0511908
+0.0523326
+0.0535397
+0.0548078
+0.0561208
+0.0574829
+0.0588951
+0.0603537
+0.0618555
+0.0633974
+0.0649767
+0.0652238
+0.0654588
+0.065766
+0.0906162
+0.0887106
+0.0868184
+0.0849406
+0.0830781
+0.081232
+0.0794033
+0.0775935
+0.0758037
+0.0740355
+0.0722905
+0.0705703
+0.0688768
+0.0672121
+0.0655783
+0.0639775
+0.0623997
+0.0608598
+0.0593608
+0.0579059
+0.0564986
+0.0551423
+0.0538411
+0.0525989
+0.0514201
+0.0503091
+0.0492705
+0.048309
+0.0474292
+0.0466359
+0.0459334
+0.045326
+0.0448176
+0.0444115
+0.0440915
+0.0438768
+0.0437708
+0.0437743
+0.0438148
+0.0438467
+0.0439877
+0.0442288
+0.0445759
+0.045027
+0.0455791
+0.046217
+0.0469285
+0.0477292
+0.0486042
+0.0495537
+0.0505804
+0.0516796
+0.0528354
+0.0538077
+0.0548339
+0.0559272
+0.0570836
+0.0582773
+0.0595179
+0.0608121
+0.0621566
+0.0635218
+0.0648436
+0.0662115
+0.0676227
+0.0690746
+0.0688973
+0.0684278
+0.0680256
+0.067692
+0.0674279
+0.0672342
+0.0671114
+0.0670601
+0.067069
+0.0671469
+0.0672875
+0.0674937
+0.0677693
+0.0681016
+0.0685022
+0.0689702
+0.0694866
+0.0700465
+0.0705756
+0.0711432
+0.0717732
+0.072464
+0.0732041
+0.0739975
+0.0748466
+0.0757496
+0.0767045
+0.0777048
+0.0787474
+0.0798366
+0.0809703
+0.0821468
+0.0833644
+0.0846211
+0.0896339
+0.0877069
+0.0857926
+0.0838918
+0.0820055
+0.0801346
+0.0782804
+0.076444
+0.0746267
+0.0728299
+0.0710552
+0.0693044
+0.0675792
+0.0658817
+0.064214
+0.0625787
+0.0609781
+0.0594029
+0.0578662
+0.0563727
+0.0549261
+0.05353
+0.0521885
+0.0509061
+0.0496871
+0.0485365
+0.0474591
+0.0464601
+0.0455447
+0.0447179
+0.0439848
+0.0433501
+0.0428182
+0.042393
+0.0420615
+0.0418364
+0.0417252
+0.0417288
+0.0417682
+0.0418016
+0.0419493
+0.0422015
+0.0425652
+0.0430374
+0.0436146
+0.04426
+0.0450023
+0.0458301
+0.0467334
+0.0477201
+0.0487854
+0.0499241
+0.050893
+0.0518924
+0.0529558
+0.054087
+0.0552703
+0.056492
+0.0577709
+0.0591034
+0.0604734
+0.0617828
+0.063141
+0.064545
+0.0659918
+0.0674788
+0.0675444
+0.0670654
+0.066655
+0.0663145
+0.0660449
+0.0658471
+0.0657218
+0.0656586
+0.065665
+0.0657358
+0.0658741
+0.0660847
+0.0663662
+0.0667055
+0.0671144
+0.0675823
+0.0680997
+0.0685746
+0.0690892
+0.0696689
+0.0703108
+0.0710014
+0.0717523
+0.0725616
+0.0734273
+0.0743475
+0.0753143
+0.0763267
+0.0773878
+0.0784958
+0.0796487
+0.0808444
+0.0820665
+0.0833205
+0.0886947
+0.0867469
+0.0848109
+0.0828876
+0.0809779
+0.0790828
+0.0772033
+0.0753406
+0.073496
+0.0716709
+0.0698668
+0.0680854
+0.0663285
+0.0645982
+0.0628965
+0.061226
+0.0595891
+0.0579888
+0.056417
+0.0548841
+0.0533971
+0.05196
+0.0505769
+0.0492525
+0.0479916
+0.0467993
+0.0456809
+0.0446422
+0.0436887
+0.0428261
+0.04206
+0.0413958
+0.0408385
+0.0403924
+0.0400477
+0.0398111
+0.0396942
+0.0396981
+0.0397369
+0.039772
+0.0399265
+0.0401914
+0.0405731
+0.0410682
+0.041651
+0.0423258
+0.0431002
+0.0439504
+0.0448915
+0.0459178
+0.0470239
+0.0480007
+0.0489702
+0.0499997
+0.0511025
+0.0522738
+0.0534743
+0.0547361
+0.0560551
+0.0574274
+0.0587258
+0.0600733
+0.0614693
+0.0629106
+0.0643942
+0.0659044
+0.0662311
+0.0657425
+0.0653238
+0.0649762
+0.0647011
+0.0644991
+0.0643664
+0.0642985
+0.0642961
+0.0643629
+0.0645041
+0.0647192
+0.0650066
+0.0653529
+0.0657688
+0.0661429
+0.0665601
+0.0670463
+0.0676001
+0.0681968
+0.0688538
+0.0695727
+0.0703388
+0.0711642
+0.0720467
+0.0729769
+0.0739564
+0.0749872
+0.076067
+0.0771747
+0.0783232
+0.0795155
+0.0807497
+0.0820238
+0.0878003
+0.0858321
+0.083875
+0.0819298
+0.0799972
+0.0780783
+0.076174
+0.0742855
+0.072414
+0.0705609
+0.0687277
+0.066916
+0.0651276
+0.0633644
+0.0616287
+0.0599228
+0.0582494
+0.0566112
+0.0550115
+0.0534439
+0.0519156
+0.0504363
+0.0490103
+0.0476423
+0.0463376
+0.0451016
+0.0439401
+0.0428591
+0.041865
+0.040964
+0.0401625
+0.0394664
+0.0388814
+0.0384126
+0.0380499
+0.0378009
+0.0376777
+0.0376818
+0.0377234
+0.0377604
+0.0379224
+0.0382012
+0.0386025
+0.0391134
+0.0397106
+0.0404178
+0.0412124
+0.0421007
+0.0430822
+0.0441507
+0.0451356
+0.0460628
+0.047062
+0.0481324
+0.0492769
+0.0504664
+0.0517088
+0.0530125
+0.0543734
+0.0556735
+0.0570089
+0.058396
+0.0598311
+0.0613109
+0.0628185
+0.0643647
+0.0649468
+0.0644485
+0.0640213
+0.0636667
+0.0633858
+0.0631797
+0.0630491
+0.062976
+0.062968
+0.0630363
+0.0631804
+0.0634
+0.0636836
+0.0639481
+0.0642302
+0.0645855
+0.0650126
+0.0655103
+0.0660769
+0.0666898
+0.0673615
+0.0680907
+0.0688746
+0.0697186
+0.0706204
+0.071578
+0.072589
+0.0736392
+0.0747136
+0.0758362
+0.0770047
+0.0782171
+0.0794714
+0.0807474
+0.0869518
+0.084964
+0.0829864
+0.0810198
+0.079065
+0.0771229
+0.0751944
+0.0732807
+0.0713829
+0.0695023
+0.0676404
+0.0657988
+0.0639791
+0.0621834
+0.0604138
+0.0586726
+0.0569624
+0.0552861
+0.0536469
+0.0520484
+0.0504858
+0.0489632
+0.047493
+0.04608
+0.0447297
+0.043448
+0.0422411
+0.0411155
+0.0400782
+0.0391361
+0.0382963
+0.0375656
+0.0369505
+0.0364569
+0.0360746
+0.0358118
+0.0356818
+0.0356861
+0.0357308
+0.0357699
+0.03594
+0.0362341
+0.036657
+0.0371697
+0.0377975
+0.038529
+0.039356
+0.0402853
+0.0413099
+0.0423035
+0.0431803
+0.0441462
+0.0451794
+0.0462933
+0.0474698
+0.0486903
+0.0499769
+0.0513247
+0.0526265
+0.0539484
+0.0553254
+0.0567536
+0.0582293
+0.0597339
+0.0612796
+0.0628637
+0.0637077
+0.0631996
+0.0627639
+0.0624022
+0.0621156
+0.0619052
+0.0617713
+0.0616925
+0.0616844
+0.061754
+0.0619012
+0.0620433
+0.0621948
+0.0624127
+0.0627018
+0.0630656
+0.063503
+0.0640125
+0.0645922
+0.065216
+0.0659027
+0.0666461
+0.0674468
+0.0683084
+0.0692286
+0.0702052
+0.0712357
+0.0723016
+0.0733957
+0.0745381
+0.0757266
+0.0769592
+0.0782263
+0.0795064
+0.0861506
+0.0841439
+0.0821466
+0.0801594
+0.0781831
+0.0762185
+0.0742666
+0.0723283
+0.0704048
+0.0684974
+0.0666074
+0.0647364
+0.062886
+0.0610582
+0.0592549
+0.0574786
+0.0557318
+0.0540174
+0.0523385
+0.0506987
+0.0491018
+0.0475455
+0.04603
+0.0445707
+0.0431732
+0.0418438
+0.0405892
+0.0394165
+0.0383332
+0.0373471
+0.0364661
+0.035698
+0.0350502
+0.0345294
+0.0341255
+0.0338476
+0.03371
+0.0337146
+0.0337628
+0.0338041
+0.0339833
+0.0342941
+0.0347194
+0.0352549
+0.0359125
+0.0366676
+0.0375357
+0.0385089
+0.0395112
+0.0403298
+0.0412486
+0.0422473
+0.0433258
+0.0444862
+0.0456822
+0.0469493
+0.0482822
+0.0495858
+0.0508923
+0.0522581
+0.0536785
+0.055149
+0.0566507
+0.0581958
+0.0597814
+0.0613909
+0.0625208
+0.062003
+0.0615589
+0.06119
+0.0608977
+0.0606831
+0.0605375
+0.0604575
+0.0604492
+0.0604301
+0.0604417
+0.060518
+0.0606733
+0.0609071
+0.0612106
+0.0615833
+0.0620311
+0.0625525
+0.0631457
+0.0637812
+0.0644832
+0.065243
+0.0660608
+0.0669402
+0.067879
+0.0688747
+0.0699248
+0.0710065
+0.0721202
+0.0732825
+0.074491
+0.075736
+0.0770221
+0.078307
+0.0853982
+0.0833734
+0.0813572
+0.0793502
+0.0773532
+0.075367
+0.0733924
+0.0714304
+0.0694821
+0.0675486
+0.0656313
+0.0637317
+0.0618512
+0.0599919
+0.0581556
+0.0563446
+0.0545615
+0.0528091
+0.0510905
+0.0494093
+0.0477694
+0.0461752
+0.0446266
+0.0431198
+0.0416738
+0.0402949
+0.0389905
+0.0377682
+0.0366362
+0.0356031
+0.0346779
+0.0338692
+0.0331857
+0.0326352
+0.0322075
+0.0319129
+0.0317149
+0.0316611
+0.0317587
+0.0318677
+0.0320568
+0.0323802
+0.0328078
+0.0333741
+0.034049
+0.0348446
+0.0357569
+0.0367192
+0.0375186
+0.0383797
+0.0393406
+0.0403779
+0.0415051
+0.0426867
+0.043931
+0.0452472
+0.0465523
+0.0478418
+0.0491946
+0.0506062
+0.0520708
+0.0535692
+0.0551137
+0.0567007
+0.0583109
+0.059958
+0.0613892
+0.0608618
+0.0604092
+0.0600332
+0.0597353
+0.0595126
+0.0593583
+0.0591586
+0.0590087
+0.0589399
+0.0589524
+0.0590346
+0.0591938
+0.0594334
+0.059749
+0.0601308
+0.0605894
+0.0611231
+0.06173
+0.0623903
+0.0631078
+0.0638843
+0.0647192
+0.0656166
+0.0665741
+0.067589
+0.0686588
+0.0697561
+0.0708894
+0.0720715
+0.073292
+0.074556
+0.0758621
+0.0771512
+0.0846958
+0.0826538
+0.0806196
+0.0785938
+0.076577
+0.0745701
+0.0725739
+0.0705891
+0.0686169
+0.0666584
+0.0647147
+0.0627873
+0.0608777
+0.0589876
+0.0571191
+0.0552742
+0.0534554
+0.0516655
+0.0499075
+0.048185
+0.046502
+0.0448628
+0.0432724
+0.0417336
+0.0402377
+0.0388079
+0.0374517
+0.0361775
+0.0349941
+0.033911
+0.0329382
+0.0320858
+0.0313634
+0.0307367
+0.030239
+0.0298819
+0.0296635
+0.029606
+0.0297103
+0.0299663
+0.0301664
+0.0304795
+0.0309334
+0.0315174
+0.0322267
+0.0330662
+0.0339741
+0.0347562
+0.0355493
+0.036457
+0.0374543
+0.0385425
+0.039707
+0.0409247
+0.0422209
+0.0435278
+0.0447972
+0.0461358
+0.0475373
+0.0489952
+0.0504898
+0.0520335
+0.0536198
+0.055233
+0.0568838
+0.0585594
+0.060268
+0.059779
+0.0593182
+0.0589353
+0.0585743
+0.0582238
+0.0579508
+0.0577147
+0.057561
+0.0574905
+0.0575034
+0.0575963
+0.0577594
+0.0580049
+0.0583317
+0.0587241
+0.0591936
+0.0597398
+0.0603606
+0.0610464
+0.0617794
+0.0625728
+0.063425
+0.0643405
+0.0653166
+0.0663508
+0.0674139
+0.0685272
+0.0696806
+0.0708829
+0.0721317
+0.0734224
+0.0747483
+0.076041
+0.0840446
+0.0819864
+0.0799352
+0.0778916
+0.0758562
+0.0738297
+0.0718128
+0.0698065
+0.0678115
+0.065829
+0.0638601
+0.0619061
+0.0599684
+0.0580488
+0.056149
+0.0542711
+0.0524175
+0.0505909
+0.0487942
+0.047031
+0.0453051
+0.0436209
+0.0419835
+0.0403986
+0.0388722
+0.0373902
+0.0359806
+0.0346523
+0.0334149
+0.0322789
+0.031253
+0.030292
+0.0294629
+0.028777
+0.0282448
+0.0278679
+0.0276335
+0.0275717
+0.0276837
+0.0279674
+0.0282991
+0.0286202
+0.0290957
+0.0297014
+0.030453
+0.0312949
+0.0320479
+0.0327674
+0.0336074
+0.0345611
+0.0356029
+0.0367459
+0.0379331
+0.0392058
+0.0405145
+0.0417606
+0.0430821
+0.0444723
+0.0459226
+0.0474128
+0.0489555
+0.050541
+0.0521574
+0.0538112
+0.055493
+0.0572093
+0.058957
+0.0586106
+0.0580766
+0.0575594
+0.0571188
+0.0567593
+0.0564825
+0.056282
+0.0561472
+0.0560749
+0.0560881
+0.0561868
+0.0563705
+0.0566253
+0.05696
+0.0573625
+0.0578431
+0.0584019
+0.0590368
+0.0597453
+0.0605013
+0.0613116
+0.062181
+0.0631145
+0.0640989
+0.0651229
+0.0662035
+0.0673359
+0.0685089
+0.0697289
+0.0709956
+0.0723065
+0.0736542
+0.0749783
+0.0834459
+0.0813725
+0.0793054
+0.0772452
+0.0751923
+0.0731474
+0.0711112
+0.0690844
+0.067068
+0.0650628
+0.06307
+0.0610907
+0.0591264
+0.0571785
+0.0552487
+0.0533392
+0.051452
+0.0495899
+0.0477556
+0.0459525
+0.0441845
+0.0424559
+0.0407717
+0.0391378
+0.0375605
+0.0360475
+0.0345852
+0.0332011
+0.0318773
+0.0306342
+0.0294909
+0.0284706
+0.0275868
+0.026853
+0.0262819
+0.0258822
+0.0256299
+0.0255633
+0.0256841
+0.0259896
+0.0264582
+0.0268014
+0.0272943
+0.0279392
+0.0287002
+0.0293565
+0.0300473
+0.0308059
+0.031698
+0.0326926
+0.0337921
+0.03496
+0.0362048
+0.0375149
+0.0387336
+0.0400352
+0.0414119
+0.0428536
+0.0443388
+0.0458802
+0.0474648
+0.0490847
+0.0507417
+0.0524304
+0.0541552
+0.0559125
+0.0576995
+0.0571202
+0.0565831
+0.0561091
+0.0557114
+0.0553427
+0.0550588
+0.0548554
+0.0547277
+0.0546874
+0.0547188
+0.05482
+0.0550083
+0.0552819
+0.0556253
+0.0560517
+0.0565444
+0.0571159
+0.0577649
+0.0584888
+0.0592765
+0.0601037
+0.0609904
+0.0619179
+0.062901
+0.0639441
+0.0650427
+0.0661837
+0.0673746
+0.0686148
+0.0699017
+0.0712327
+0.0726033
+0.0739648
+0.0828998
+0.0808133
+0.0787316
+0.0766559
+0.0745868
+0.0725249
+0.0704707
+0.068425
+0.0663885
+0.0643622
+0.0623469
+0.060344
+0.0583545
+0.0563799
+0.0544219
+0.0524822
+0.0505631
+0.0486669
+0.0467965
+0.0449549
+0.0431461
+0.0413741
+0.039644
+0.0379616
+0.0363333
+0.034755
+0.0331917
+0.0317029
+0.0302994
+0.0289936
+0.02779
+0.0267047
+0.0257604
+0.024973
+0.0243579
+0.0239282
+0.0236596
+0.0235874
+0.0237182
+0.0240487
+0.0245578
+0.0250365
+0.0255539
+0.026215
+0.0267531
+0.0274077
+0.0280668
+0.0288774
+0.0298203
+0.0308666
+0.0320107
+0.0332215
+0.0345224
+0.0357189
+0.0369968
+0.0383574
+0.0397892
+0.0412683
+0.0428082
+0.0443916
+0.0460154
+0.0476758
+0.0493723
+0.0511063
+0.0528742
+0.0546728
+0.0562504
+0.0556409
+0.0551011
+0.0546377
+0.0542459
+0.053924
+0.0536846
+0.0534806
+0.0533495
+0.0533082
+0.0533569
+0.0534954
+0.0537009
+0.0539821
+0.0543449
+0.0547812
+0.055301
+0.0558861
+0.0565493
+0.0572886
+0.0581011
+0.0589462
+0.0598179
+0.060756
+0.0617576
+0.0628159
+0.0639221
+0.0650827
+0.0662934
+0.0675535
+0.0688602
+0.070211
+0.0716024
+0.0729941
+0.0823867
+0.0802919
+0.0782023
+0.0761184
+0.0740407
+0.0719637
+0.069893
+0.0678298
+0.065775
+0.0637291
+0.0616932
+0.0596683
+0.0576555
+0.0556561
+0.0536717
+0.0517039
+0.0497548
+0.0478266
+0.0459219
+0.0440438
+0.0421959
+0.0403823
+0.0386078
+0.0368781
+0.0351456
+0.0334574
+0.0318305
+0.0302747
+0.0288017
+0.0274247
+0.026159
+0.0250061
+0.0239951
+0.0231478
+0.0224827
+0.0220164
+0.0217315
+0.0216529
+0.0217953
+0.0221545
+0.0226842
+0.0233368
+0.0238731
+0.0242664
+0.0248467
+0.0254103
+0.0261198
+0.026989
+0.0279783
+0.0290909
+0.0302613
+0.0315394
+0.0327197
+0.0339692
+0.0353106
+0.0367304
+0.0382023
+0.0397402
+0.0413221
+0.0429502
+0.0446145
+0.0463194
+0.0480637
+0.0498433
+0.0516545
+0.0534941
+0.0548254
+0.0541989
+0.0536541
+0.0531797
+0.0527904
+0.0524897
+0.0522532
+0.0520983
+0.0520272
+0.0519848
+0.0520348
+0.0521767
+0.0524099
+0.0527242
+0.0531095
+0.0535609
+0.0540932
+0.0547008
+0.0553785
+0.0561335
+0.0569629
+0.0578076
+0.0586962
+0.059652
+0.0606655
+0.0617326
+0.0628579
+0.0640378
+0.0652679
+0.0665473
+0.0678734
+0.0692434
+0.0706541
+0.0720768
+0.081929
+0.0798222
+0.07772
+0.0756228
+0.0735311
+0.0714453
+0.0693659
+0.0672937
+0.0652291
+0.0631657
+0.0611111
+0.0590662
+0.0570322
+0.0550101
+0.0530015
+0.0510079
+0.0490311
+0.0470733
+0.0451368
+0.0432246
+0.0413401
+0.0394872
+0.0376379
+0.035801
+0.0340043
+0.0322565
+0.0305657
+0.0289421
+0.0273975
+0.0259461
+0.0246044
+0.0233799
+0.0222952
+0.0213806
+0.0206588
+0.0201503
+0.0198477
+0.0197617
+0.0199176
+0.020301
+0.0208724
+0.0216312
+0.0219358
+0.0223625
+0.0228652
+0.0234474
+0.0242145
+0.0251399
+0.02619
+0.0273318
+0.0285729
+0.0297409
+0.0309556
+0.0322735
+0.0336788
+0.035142
+0.0366773
+0.0382572
+0.0398901
+0.0415585
+0.043273
+0.0450287
+0.0468212
+0.0486462
+0.0505003
+0.0523805
+0.053444
+0.0528011
+0.0522423
+0.0517701
+0.0513733
+0.0510643
+0.0508479
+0.0507097
+0.050652
+0.0506819
+0.0507727
+0.0509182
+0.0511547
+0.0514679
+0.0518717
+0.052363
+0.052924
+0.0535672
+0.0542687
+0.055039
+0.0558847
+0.0567308
+0.0576359
+0.0586001
+0.0596236
+0.060709
+0.0618529
+0.0630516
+0.0643006
+0.0655989
+0.0669438
+0.0683325
+0.0696213
+0.0708875
+0.0808171
+0.0794102
+0.0772967
+0.0751878
+0.0730836
+0.0709846
+0.0688914
+0.0668044
+0.0647243
+0.0626517
+0.0605874
+0.0585323
+0.056487
+0.0544447
+0.0524144
+0.0503976
+0.0483959
+0.0464112
+0.0444459
+0.0424879
+0.0405264
+0.0385894
+0.0366811
+0.034806
+0.0329688
+0.0311635
+0.02941
+0.0277187
+0.0261018
+0.024574
+0.023153
+0.0218473
+0.0206824
+0.019693
+0.0189068
+0.0183499
+0.0180171
+0.0179222
+0.018094
+0.0185153
+0.01914
+0.0198166
+0.02005
+0.0204681
+0.0208918
+0.0215275
+0.0223606
+0.0233399
+0.0244438
+0.0256376
+0.0267759
+0.0279604
+0.0292492
+0.0306366
+0.0320889
+0.0336209
+0.0351981
+0.0368338
+0.0385094
+0.0402344
+0.0420029
+0.0438096
+0.04565
+0.04752
+0.0494164
+0.0513338
+0.0520983
+0.0514397
+0.050867
+0.0503832
+0.0499907
+0.0496608
+0.0494194
+0.0492744
+0.0492265
+0.049276
+0.0494227
+0.0496615
+0.0499372
+0.0502757
+0.050689
+0.0511929
+0.0517845
+0.0524501
+0.0531828
+0.0539854
+0.0548637
+0.0557193
+0.0566289
+0.0576042
+0.0586451
+0.0597482
+0.0609102
+0.0621271
+0.0633943
+0.0647108
+0.0659475
+0.0671416
+0.0683683
+0.0696255
+0.0792846
+0.078032
+0.0768214
+0.0748144
+0.0726994
+0.070589
+0.0684837
+0.0663839
+0.0642902
+0.0622031
+0.0601235
+0.0580519
+0.0559895
+0.0539372
+0.0518962
+0.0498609
+0.0478389
+0.0458058
+0.0437737
+0.0417576
+0.03976
+0.0377839
+0.0358327
+0.0339107
+0.0320233
+0.0301769
+0.0283765
+0.0266197
+0.0249316
+0.0233273
+0.0218252
+0.0204349
+0.0191844
+0.0181134
+0.0172554
+0.0166433
+0.0162757
+0.0161706
+0.0163608
+0.0168151
+0.0174832
+0.0179728
+0.0181586
+0.0184845
+0.0189485
+0.0196471
+0.0205559
+0.0216066
+0.0227455
+0.0238337
+0.0249904
+0.0262421
+0.0276068
+0.0290453
+0.030571
+0.0321465
+0.0337843
+0.0354686
+0.0372057
+0.0389885
+0.0408111
+0.0426683
+0.0445557
+0.0464679
+0.0484005
+0.0503479
+0.0507479
+0.0500805
+0.0494951
+0.0489976
+0.048594
+0.0482815
+0.0480455
+0.0478963
+0.047847
+0.047898
+0.0480489
+0.0482988
+0.0486461
+0.0490889
+0.0495509
+0.0500847
+0.0506946
+0.0513855
+0.0521454
+0.05297
+0.0538701
+0.0547622
+0.055684
+0.0566755
+0.0577332
+0.0588534
+0.0600327
+0.061267
+0.0624293
+0.0635498
+0.0646979
+0.0658785
+0.0671007
+0.0683712
+0.0777835
+0.0765063
+0.0752713
+0.0740804
+0.0723682
+0.0702595
+0.068144
+0.0660334
+0.0639282
+0.0618289
+0.0597362
+0.0576508
+0.0555735
+0.0535052
+0.0514471
+0.0493754
+0.0472991
+0.0452337
+0.0431765
+0.0411312
+0.0391016
+0.0370904
+0.0351006
+0.0331362
+0.031202
+0.0293039
+0.0274494
+0.025648
+0.0239054
+0.0222271
+0.0206451
+0.0191694
+0.0178303
+0.0166726
+0.0157362
+0.0150625
+0.0146515
+0.0145346
+0.014746
+0.01523
+0.0159094
+0.0159916
+0.0161941
+0.0165467
+0.0170634
+0.017836
+0.018811
+0.0199155
+0.0209365
+0.0220555
+0.023259
+0.024594
+0.0260146
+0.0275295
+0.0291048
+0.0307446
+0.0324388
+0.0341895
+0.0359883
+0.0378286
+0.0397044
+0.0416096
+0.0435374
+0.0454794
+0.0473604
+0.049267
+0.049451
+0.0487658
+0.0481706
+0.0476642
+0.0472491
+0.0469328
+0.0467006
+0.0465671
+0.0465298
+0.0465823
+0.0467374
+0.0469943
+0.0473512
+0.0478001
+0.0483307
+0.0489538
+0.0496472
+0.0503579
+0.0511473
+0.0520151
+0.0529325
+0.0538736
+0.0548103
+0.0557867
+0.0567791
+0.0578375
+0.0589584
+0.060129
+0.0611925
+0.0622756
+0.0634159
+0.0646104
+0.0658561
+0.067135
+0.0763157
+0.0750137
+0.0737536
+0.0725379
+0.0713686
+0.0698811
+0.0677831
+0.0656913
+0.0636061
+0.0615282
+0.0594273
+0.0573307
+0.0552413
+0.0531407
+0.0510296
+0.0489254
+0.0468292
+0.044742
+0.0426652
+0.0406004
+0.0385495
+0.0365148
+0.0344924
+0.0324913
+0.0305162
+0.0285725
+0.0266672
+0.0248091
+0.0230095
+0.0212834
+0.0196295
+0.0180653
+0.0166376
+0.0153904
+0.0143707
+0.0136297
+0.0131837
+0.0130538
+0.0132682
+0.0137752
+0.0139607
+0.0140726
+0.0142956
+0.0146801
+0.0152601
+0.0161194
+0.0171603
+0.0181059
+0.019154
+0.0203103
+0.0216053
+0.0230019
+0.0245022
+0.0260763
+0.0277178
+0.0294232
+0.0311892
+0.0330062
+0.0348662
+0.0367621
+0.0386833
+0.0406181
+0.0424884
+0.044388
+0.0463134
+0.0482613
+0.0482188
+0.0475159
+0.0469048
+0.0463883
+0.0459617
+0.0456364
+0.0454135
+0.0452769
+0.0452453
+0.0453197
+0.0454937
+0.0457575
+0.046124
+0.0465781
+0.0471226
+0.0477614
+0.0484908
+0.0493069
+0.0501873
+0.0510737
+0.0519933
+0.0527847
+0.0536539
+0.0545972
+0.0556108
+0.0566625
+0.0577741
+0.0588529
+0.0598982
+0.0610042
+0.0621679
+0.0633858
+0.0646123
+0.0658625
+0.0748813
+0.073556
+0.0722705
+0.0710294
+0.0698349
+0.0686895
+0.0674446
+0.0653419
+0.0632452
+0.061155
+0.0590722
+0.0569974
+0.0549316
+0.0528138
+0.050689
+0.0485701
+0.0464578
+0.0443532
+0.0422573
+0.0401715
+0.0380975
+0.0360373
+0.0339935
+0.0319691
+0.029968
+0.0279939
+0.0260463
+0.0241405
+0.022287
+0.0205001
+0.018776
+0.0171495
+0.0156589
+0.0143268
+0.0132254
+0.0124112
+0.0118756
+0.0117311
+0.0119382
+0.0120146
+0.012095
+0.0122451
+0.012493
+0.0129157
+0.0135713
+0.0145058
+0.0153788
+0.0163084
+0.0174135
+0.0186524
+0.0200152
+0.021495
+0.0230663
+0.0247087
+0.0264266
+0.0282102
+0.0300476
+0.0319296
+0.033842
+0.0357671
+0.0376234
+0.039514
+0.0414342
+0.04338
+0.0453481
+0.0473358
+0.04694
+0.0462685
+0.0456919
+0.0451797
+0.0447445
+0.0444103
+0.0441823
+0.0440579
+0.0440254
+0.0441018
+0.0442867
+0.0445785
+0.0449681
+0.045429
+0.045987
+0.0466414
+0.0473881
+0.0482228
+0.0491411
+0.050051
+0.0508034
+0.0515954
+0.0524568
+0.0533866
+0.0543888
+0.0554594
+0.0565761
+0.0575893
+0.0586571
+0.0597844
+0.0609126
+0.0620901
+0.0632984
+0.0645574
+0.0734557
+0.07213
+0.0708237
+0.0695571
+0.0683369
+0.067166
+0.0660471
+0.0649756
+0.0629585
+0.0608585
+0.0587651
+0.0566791
+0.0546013
+0.0525326
+0.0504414
+0.0483116
+0.0461876
+0.04407
+0.04196
+0.0398586
+0.0377674
+0.0356882
+0.0336231
+0.031575
+0.0295473
+0.0275446
+0.0255727
+0.0236394
+0.0217492
+0.0199135
+0.0181481
+0.0164597
+0.0149026
+0.0135076
+0.0123305
+0.0114177
+0.0108117
+0.0105264
+0.0102662
+0.0102223
+0.0103574
+0.0105208
+0.0108186
+0.0112964
+0.0120385
+0.0127831
+0.0135579
+0.0145815
+0.015746
+0.0170683
+0.0185178
+0.0200825
+0.0217246
+0.0234565
+0.0252598
+0.0271201
+0.0290199
+0.030931
+0.0327684
+0.0346468
+0.0365601
+0.0385029
+0.0404711
+0.042461
+0.0444699
+0.0464803
+0.0457079
+0.045018
+0.0444252
+0.0439338
+0.0435445
+0.0432439
+0.0430263
+0.042903
+0.0428828
+0.0429613
+0.043151
+0.0434505
+0.04385
+0.0443407
+0.0449297
+0.0455992
+0.0463627
+0.0471876
+0.0480098
+0.0488286
+0.0495553
+0.050367
+0.0512487
+0.0522
+0.0532245
+0.0543181
+0.0553226
+0.0563426
+0.0573781
+0.0584571
+0.0595839
+0.0607688
+0.0619946
+0.0632649
+0.0719998
+0.0707076
+0.0694002
+0.0681141
+0.0668718
+0.0656791
+0.0645356
+0.0634458
+0.062403
+0.0606064
+0.0585031
+0.0564065
+0.0543172
+0.0522363
+0.0501648
+0.0481038
+0.0460172
+0.0438928
+0.0417749
+0.0396643
+0.0375624
+0.0354712
+0.0333927
+0.0313295
+0.0292848
+0.0272628
+0.0252689
+0.0233105
+0.0213912
+0.0195219
+0.0177263
+0.0160293
+0.0144053
+0.0129443
+0.0116669
+0.0106541
+0.0096777
+0.00896409
+0.00866511
+0.00861582
+0.00880484
+0.00896518
+0.00931376
+0.00986468
+0.0104155
+0.0109624
+0.0118542
+0.0129138
+0.0141751
+0.0155879
+0.017133
+0.0187774
+0.0205242
+0.0223494
+0.0242285
+0.0261181
+0.0279285
+0.02979
+0.0316936
+0.0336322
+0.0356
+0.0375925
+0.0396059
+0.0416372
+0.043684
+0.0452827
+0.0445407
+0.0438414
+0.0432325
+0.0427273
+0.042327
+0.0420177
+0.041821
+0.0417386
+0.041771
+0.0418892
+0.0420837
+0.0423907
+0.0428077
+0.0433174
+0.0439234
+0.0446289
+0.0453041
+0.0460155
+0.0468187
+0.0476295
+0.0483743
+0.0492054
+0.0500993
+0.0510536
+0.0520826
+0.0531203
+0.0540308
+0.055013
+0.0560445
+0.057135
+0.0582801
+0.0594689
+0.0607131
+0.0619964
+0.0705252
+0.0692417
+0.0679857
+0.0667023
+0.0654386
+0.0642193
+0.0630525
+0.0619412
+0.0608867
+0.0598802
+0.0581471
+0.056041
+0.0539395
+0.0518433
+0.0497553
+0.0476765
+0.0456082
+0.0435519
+0.0415093
+0.0394768
+0.0374602
+0.0353674
+0.0332843
+0.0312158
+0.0291653
+0.0271367
+0.0251352
+0.0231681
+0.0212447
+0.0193716
+0.0175607
+0.0158003
+0.0141448
+0.0126384
+0.0110427
+0.00961301
+0.00844534
+0.00767693
+0.00735477
+0.00731851
+0.00752897
+0.00772394
+0.00787957
+0.00806332
+0.00867511
+0.00929934
+0.0102358
+0.0113882
+0.0127378
+0.0142467
+0.0158878
+0.0176487
+0.0194889
+0.0213277
+0.0231134
+0.0249494
+0.0268387
+0.0287708
+0.0307376
+0.0327328
+0.0347516
+0.0367901
+0.0388451
+0.0409143
+0.0429954
+0.0441378
+0.0433762
+0.0427041
+0.0421007
+0.0416013
+0.04119
+0.0408721
+0.0406699
+0.0405851
+0.0406185
+0.0407697
+0.0410375
+0.0414131
+0.0418399
+0.0423682
+0.0429209
+0.0434947
+0.0441305
+0.0448604
+0.0456338
+0.0464376
+0.0471812
+0.0480133
+0.0489159
+0.0498745
+0.0509094
+0.051791
+0.0527123
+0.0536903
+0.0547323
+0.0558346
+0.0569898
+0.0582045
+0.0594751
+0.060754
+0.0690759
+0.0677741
+0.0665135
+0.0652958
+0.0640362
+0.0628019
+0.0616083
+0.0604705
+0.059391
+0.0583727
+0.0574137
+0.0555757
+0.0534581
+0.0513467
+0.0492421
+0.0471455
+0.0450558
+0.042973
+0.0409016
+0.0388432
+0.0368
+0.0347749
+0.0327649
+0.0307763
+0.0287807
+0.0268146
+0.024886
+0.0230045
+0.0211748
+0.019281
+0.0173853
+0.0154768
+0.0136164
+0.0118692
+0.0102609
+0.00877758
+0.00759593
+0.00668639
+0.00600359
+0.00594703
+0.00623164
+0.00630855
+0.00621922
+0.00644483
+0.00718359
+0.00785761
+0.00881162
+0.0100032
+0.0114596
+0.0130673
+0.0148229
+0.0165813
+0.0183425
+0.0201369
+0.0220033
+0.0239246
+0.0258889
+0.0278868
+0.0299118
+0.0319586
+0.0340234
+0.036103
+0.038195
+0.0402975
+0.042409
+0.0430739
+0.0422932
+0.0416132
+0.0410001
+0.04049
+0.0400932
+0.0398113
+0.0396036
+0.0395165
+0.0395507
+0.0397059
+0.0399807
+0.0403727
+0.0408785
+0.0412946
+0.0417818
+0.0423471
+0.0429604
+0.0436461
+0.0444293
+0.0452638
+0.0460148
+0.0468365
+0.0477364
+0.0487182
+0.0496294
+0.0504788
+0.0513996
+0.0523957
+0.0534564
+0.0545739
+0.0557552
+0.0569962
+0.0582528
+0.0595047
+0.0676538
+0.0663371
+0.0650543
+0.0638191
+0.0626249
+0.0614094
+0.0602091
+0.0590444
+0.0579391
+0.0568952
+0.0559173
+0.0550058
+0.0530606
+0.0509327
+0.0488103
+0.0466943
+0.0445854
+0.0424849
+0.0403939
+0.038314
+0.0362458
+0.0341878
+0.0321474
+0.030128
+0.0281344
+0.0261656
+0.0241943
+0.0222544
+0.0203653
+0.0185428
+0.016711
+0.0149089
+0.0131132
+0.011406
+0.00974795
+0.00828885
+0.00669284
+0.00531562
+0.00443058
+0.00436061
+0.00473536
+0.00491552
+0.0049165
+0.00519996
+0.00596003
+0.00659808
+0.00750313
+0.00880946
+0.0103711
+0.011958
+0.0136302
+0.0153788
+0.0172035
+0.0191052
+0.0210632
+0.023063
+0.0250947
+0.0271512
+0.0292272
+0.0313188
+0.0334231
+0.0355379
+0.0376613
+0.039792
+0.0419289
+0.0420243
+0.041246
+0.0405513
+0.0399638
+0.0394662
+0.039059
+0.0387715
+0.0386034
+0.0385216
+0.0385566
+0.0387158
+0.0389977
+0.0393994
+0.0397549
+0.0401357
+0.0406127
+0.0411291
+0.0417302
+0.0424359
+0.0432413
+0.0440884
+0.0448544
+0.0456528
+0.046535
+0.047502
+0.0483342
+0.0491975
+0.0501416
+0.0511542
+0.0522292
+0.0533725
+0.054575
+0.0557659
+0.0569882
+0.0582482
+0.0661273
+0.064938
+0.0636313
+0.0623698
+0.0611607
+0.0599951
+0.0588273
+0.0576514
+0.056532
+0.0554642
+0.0544553
+0.0534887
+0.0524831
+0.0506102
+0.0484738
+0.0463424
+0.0442167
+0.0420978
+0.0399865
+0.0378843
+0.0357928
+0.0337138
+0.0316498
+0.0296041
+0.02758
+0.0255753
+0.0236038
+0.0216743
+0.0197584
+0.0178741
+0.0160677
+0.0142827
+0.0125751
+0.0109898
+0.00942099
+0.00788596
+0.00601539
+0.00444199
+0.00347346
+0.00336176
+0.00333076
+0.00375019
+0.00415889
+0.00455072
+0.0050007
+0.00552809
+0.006499
+0.00764717
+0.00909009
+0.0107477
+0.0124807
+0.0143395
+0.016281
+0.018279
+0.0203167
+0.0223833
+0.0244716
+0.0265763
+0.0286939
+0.0308217
+0.0329578
+0.0350981
+0.0372372
+0.039382
+0.0415316
+0.0409818
+0.040217
+0.0395402
+0.0389374
+0.0384501
+0.0380828
+0.0378163
+0.0376383
+0.0375714
+0.0376321
+0.0378198
+0.0380057
+0.0382196
+0.038511
+0.0389015
+0.039396
+0.0399107
+0.0405296
+0.0412557
+0.0420835
+0.0428542
+0.0435738
+0.0443897
+0.0452791
+0.04624
+0.047086
+0.0479717
+0.048922
+0.049949
+0.0510479
+0.0521904
+0.0533234
+0.0545128
+0.0557343
+0.0569998
+0.0646323
+0.0634152
+0.0622318
+0.0609628
+0.0597253
+0.0585436
+0.0574121
+0.0562418
+0.0550938
+0.0540089
+0.0529776
+0.0520092
+0.050962
+0.0499284
+0.0482345
+0.046092
+0.0439542
+0.041822
+0.0396961
+0.0375777
+0.035468
+0.0333688
+0.0312821
+0.0292106
+0.0271579
+0.0251285
+0.0231285
+0.0211664
+0.0192536
+0.017392
+0.0155295
+0.0137641
+0.0121381
+0.0105547
+0.00906598
+0.00753827
+0.0058148
+0.00433367
+0.00337544
+0.00197051
+0.00148779
+0.00204914
+0.00270648
+0.0030009
+0.00358597
+0.00410145
+0.00507969
+0.00639185
+0.00797283
+0.00970682
+0.0115964
+0.0135768
+0.0156135
+0.017687
+0.0197858
+0.0219026
+0.0240248
+0.0261521
+0.028289
+0.0304337
+0.0325844
+0.0347401
+0.0369
+0.0390633
+0.0408123
+0.0399367
+0.0391642
+0.0384986
+0.0379462
+0.0374706
+0.0370997
+0.0368222
+0.0366736
+0.0366556
+0.0367304
+0.0367173
+0.0368079
+0.0370079
+0.0373245
+0.0377273
+0.0382127
+0.0387437
+0.039381
+0.040128
+0.0409311
+0.0415686
+0.0422976
+0.0430948
+0.0439862
+0.0449478
+0.0458987
+0.0467885
+0.0477551
+0.0487725
+0.0498392
+0.0509258
+0.0520775
+0.0532819
+0.054501
+0.0557758
+0.0631634
+0.0619298
+0.0607369
+0.0595532
+0.0583368
+0.0571264
+0.0559756
+0.0548523
+0.0537015
+0.0525943
+0.0515377
+0.0504701
+0.0493902
+0.0483854
+0.0474055
+0.0459299
+0.0437861
+0.0416471
+0.0395138
+0.0373871
+0.0352683
+0.0331588
+0.0310606
+0.0289759
+0.026907
+0.0248575
+0.0228338
+0.0208439
+0.0188908
+0.0169842
+0.0151545
+0.0133643
+0.0116828
+0.0100739
+0.00850106
+0.00697435
+0.00557385
+0.00444323
+0.00298471
+0.00121608
+0.000560501
+0.00113437
+0.00176241
+0.00206568
+0.00242168
+0.00314283
+0.0041337
+0.0054806
+0.00717959
+0.00908463
+0.0110657
+0.0131045
+0.0151857
+0.0172939
+0.019419
+0.0215556
+0.023702
+0.0258559
+0.0280155
+0.0301796
+0.0323472
+0.0345178
+0.0366907
+0.0388656
+0.0398832
+0.0389867
+0.0381949
+0.0375144
+0.0369473
+0.036503
+0.0361462
+0.0359131
+0.0357138
+0.0355986
+0.0355246
+0.0354913
+0.035564
+0.035771
+0.03611
+0.0365605
+0.0370898
+0.0376441
+0.0383001
+0.0390591
+0.0396841
+0.0402952
+0.0410145
+0.0418362
+0.0427392
+0.0437272
+0.0447435
+0.0456155
+0.0465604
+0.0475394
+0.0485819
+0.0496975
+0.0508662
+0.0520643
+0.0533073
+0.0546099
+0.0617099
+0.0604749
+0.0592654
+0.0581004
+0.0569172
+0.0557593
+0.0545797
+0.0534638
+0.0523337
+0.0512113
+0.0501478
+0.0489806
+0.0478671
+0.0468296
+0.0458734
+0.0449521
+0.0437197
+0.0415773
+0.0394403
+0.0373094
+0.0351859
+0.0330712
+0.030967
+0.0288757
+0.0268003
+0.0247434
+0.0227012
+0.0206863
+0.0187109
+0.0167891
+0.0148793
+0.0129546
+0.0110908
+0.0093253
+0.00774872
+0.00637227
+0.00520205
+0.0044091
+0.00270247
+0.00155479
+0.00083493
+0.00053405
+0.000609697
+0.00160268
+0.0019628
+0.00256749
+0.00360266
+0.00504467
+0.00682473
+0.00877287
+0.0108002
+0.0128811
+0.0149933
+0.0171253
+0.019269
+0.0214205
+0.0235793
+0.0257434
+0.0279117
+0.0300832
+0.0322573
+0.0344336
+0.0366115
+0.0387909
+0.0390181
+0.038126
+0.0373272
+0.036631
+0.0360536
+0.0355141
+0.0350615
+0.0347414
+0.0344854
+0.0342772
+0.0342076
+0.0342319
+0.0343077
+0.0345226
+0.0348741
+0.035358
+0.0358901
+0.0364966
+0.037216
+0.0379145
+0.0384291
+0.0390599
+0.0398015
+0.0406469
+0.0415692
+0.0425844
+0.0435081
+0.0443606
+0.045303
+0.0462949
+0.047363
+0.0485
+0.0496763
+0.050901
+0.0521513
+0.0534536
+0.06028
+0.0590516
+0.0578274
+0.0566451
+0.0554843
+0.0543295
+0.053224
+0.0520927
+0.0510166
+0.0498508
+0.0487207
+0.0475429
+0.0463974
+0.0453263
+0.0443377
+0.0434287
+0.0425828
+0.0416229
+0.0394883
+0.0373602
+0.0352398
+0.0331186
+0.0310061
+0.0289052
+0.0268186
+0.0247501
+0.0226914
+0.020606
+0.0185449
+0.0165172
+0.0145369
+0.0125944
+0.0107073
+0.00894152
+0.00734293
+0.00604742
+0.00501971
+0.00396916
+0.00269474
+0.00200517
+0.000302656
+-0.0012692
+0.000212619
+0.00128937
+0.00235597
+0.00269515
+0.00369073
+0.00521883
+0.00701241
+0.00894719
+0.010965
+0.0130206
+0.0151142
+0.0172319
+0.0193655
+0.0215088
+0.0236596
+0.025817
+0.0279796
+0.0301462
+0.0323161
+0.0344886
+0.036573
+0.0385913
+0.0379941
+0.0372273
+0.0364455
+0.0356754
+0.0349513
+0.0343519
+0.0338837
+0.0335152
+0.0332455
+0.0330374
+0.0329645
+0.0329873
+0.033069
+0.0332919
+0.0336562
+0.0341574
+0.0347614
+0.0353873
+0.0361266
+0.0367216
+0.0372527
+0.0379031
+0.0386668
+0.0395276
+0.0404753
+0.0414644
+0.0422451
+0.043123
+0.0440645
+0.0450786
+0.0461581
+0.0472912
+0.0484969
+0.0497116
+0.050982
+0.0523135
+0.0587968
+0.0576308
+0.0564341
+0.0552268
+0.0540753
+0.0529177
+0.0517956
+0.0507285
+0.0496745
+0.0485158
+0.0472941
+0.0460962
+0.0449644
+0.0438748
+0.0428527
+0.0419129
+0.0410549
+0.0402978
+0.0395828
+0.0374504
+0.0353252
+0.0332086
+0.0311021
+0.0289836
+0.0268507
+0.024728
+0.0226182
+0.0205253
+0.0184552
+0.0164165
+0.0144223
+0.0124931
+0.0106176
+0.0088875
+0.00734017
+0.00604914
+0.00496231
+0.00353087
+0.00260875
+0.0014807
+-6.1007e-05
+-0.000560937
+-0.000666511
+0.000694549
+0.00221717
+0.00347949
+0.0044054
+0.00587009
+0.00756821
+0.00946096
+0.0114314
+0.0134523
+0.0154966
+0.0175683
+0.0196659
+0.0217817
+0.0239111
+0.0259759
+0.027909
+0.0298778
+0.0318755
+0.033897
+0.0359017
+0.0377587
+0.0368837
+0.0360933
+0.0353922
+0.0345487
+0.0338256
+0.0332049
+0.0326892
+0.0322876
+0.0320311
+0.0318379
+0.0317714
+0.0317313
+0.0318422
+0.0321026
+0.0325089
+0.0330556
+0.0336039
+0.0342551
+0.0350099
+0.0356237
+0.0361709
+0.0368404
+0.0376154
+0.0384856
+0.0394584
+0.0402347
+0.041035
+0.0419146
+0.0428657
+0.0438867
+0.0449845
+0.0461268
+0.0473423
+0.0485824
+0.0498816
+0.0512416
+0.057291
+0.056127
+0.0549952
+0.0538411
+0.0526801
+0.0515599
+0.0504109
+0.0493252
+0.0483029
+0.0472315
+0.0459276
+0.0446931
+0.0435249
+0.0424321
+0.0414241
+0.0404573
+0.0395677
+0.0387816
+0.0381054
+0.0375374
+0.0354994
+0.0333544
+0.0312156
+0.0290846
+0.0269601
+0.024844
+0.0227421
+0.0206587
+0.0185999
+0.0165749
+0.0145979
+0.0126899
+0.0108234
+0.00907174
+0.00746386
+0.00619012
+0.00461769
+0.00333269
+0.00250993
+0.0015468
+0.000649646
+-0.000683969
+-0.000262773
+0.000287958
+0.00108173
+0.00278911
+0.00477583
+0.00666942
+0.00833642
+0.0101566
+0.0120714
+0.0140659
+0.016071
+0.017769
+0.019562
+0.0214193
+0.0233186
+0.0252652
+0.0272488
+0.029262
+0.0312226
+0.0331896
+0.0351792
+0.0366614
+0.0358098
+0.0350104
+0.0341881
+0.0334676
+0.0327431
+0.0320696
+0.0315342
+0.031144
+0.0308751
+0.0306726
+0.0306046
+0.0305808
+0.0306959
+0.0309659
+0.0313869
+0.0319528
+0.0325237
+0.0332141
+0.0339745
+0.0346297
+0.0351923
+0.0358693
+0.0366501
+0.0375427
+0.0382638
+0.0390495
+0.0398716
+0.0407566
+0.0417101
+0.0427361
+0.0438292
+0.044996
+0.0461828
+0.0474394
+0.048762
+0.0501259
+0.0557812
+0.0546216
+0.0534741
+0.0523581
+0.0512936
+0.0501687
+0.0490815
+0.0479733
+0.0469293
+0.0459582
+0.0446269
+0.0433554
+0.0421501
+0.0410207
+0.0399795
+0.0390337
+0.0381475
+0.0373324
+0.0366295
+0.0360462
+0.0355884
+0.0335639
+0.0314394
+0.0293247
+0.0272189
+0.0251217
+0.0230223
+0.0209416
+0.0188858
+0.0168559
+0.0148478
+0.0128994
+0.0110333
+0.00928408
+0.00771739
+0.00631741
+0.00474166
+0.00361484
+0.00275631
+0.00268237
+0.00129878
+0.000400095
+2.8533e-05
+-4.02544e-05
+0.00149824
+0.00250702
+0.00398904
+0.00578041
+0.00770175
+0.00951148
+0.0114083
+0.0133951
+0.0152413
+0.0170139
+0.0188715
+0.0207839
+0.0227363
+0.0247063
+0.026614
+0.028559
+0.0305313
+0.0325316
+0.034555
+0.0356377
+0.0345918
+0.0336374
+0.0327919
+0.0320635
+0.0314624
+0.0308857
+0.0304442
+0.0300283
+0.0297121
+0.0295015
+0.0293738
+0.0293621
+0.0295134
+0.0298253
+0.0302225
+0.0307495
+0.031408
+0.0321853
+0.0329855
+0.0337306
+0.0343079
+0.0349931
+0.035793
+0.0364376
+0.0371314
+0.0378696
+0.0386904
+0.039569
+0.0405084
+0.0415419
+0.0426389
+0.0437952
+0.0450138
+0.046302
+0.0476562
+0.0490096
+0.0543177
+0.0531262
+0.0519906
+0.050842
+0.0497634
+0.0487257
+0.0476488
+0.0466336
+0.0456158
+0.0446199
+0.0433922
+0.0420834
+0.0408466
+0.0396801
+0.0386028
+0.0376224
+0.0367465
+0.0359411
+0.0352281
+0.0346211
+0.0341442
+0.0337922
+0.0317507
+0.0296351
+0.0275312
+0.025442
+0.0233714
+0.0213073
+0.0192478
+0.0172206
+0.0152388
+0.0133226
+0.0115031
+0.00980681
+0.00833996
+0.0065761
+0.0050465
+0.00397463
+0.00317328
+0.00309827
+0.00269673
+0.00114522
+0.000332001
+0.000749136
+0.00044584
+0.00211166
+0.0037554
+0.00539855
+0.00704873
+0.00893124
+0.0109225
+0.0127879
+0.014562
+0.0163865
+0.0182766
+0.0202274
+0.0221276
+0.0240288
+0.0259756
+0.0279586
+0.0299705
+0.0320035
+0.0339707
+0.0343352
+0.0332708
+0.0323063
+0.0314628
+0.030726
+0.0301013
+0.0295547
+0.0290735
+0.0286214
+0.0283273
+0.0281725
+0.0281052
+0.028093
+0.0282511
+0.0285768
+0.0289697
+0.0295193
+0.0302181
+0.0310489
+0.0319049
+0.0328062
+0.0335121
+0.0342065
+0.0347028
+0.0352776
+0.0359504
+0.0366425
+0.0374502
+0.0383415
+0.0393103
+0.0403584
+0.0414855
+0.0426731
+0.0439226
+0.0452418
+0.0465506
+0.0478818
+0.0528911
+0.0516804
+0.0505217
+0.0493763
+0.0482649
+0.047229
+0.0462228
+0.0451925
+0.0442461
+0.0433387
+0.0422265
+0.0408804
+0.0396098
+0.0384177
+0.037304
+0.0362885
+0.0353737
+0.0345508
+0.0338432
+0.0332506
+0.0327579
+0.0323913
+0.0317704
+0.0300671
+0.0279712
+0.0258857
+0.0238191
+0.0217767
+0.0197662
+0.0177982
+0.015873
+0.0140192
+0.0122769
+0.0107008
+0.0090051
+0.00733873
+0.00591807
+0.00487172
+0.0040678
+0.00387771
+0.00373051
+0.00222706
+0.00146707
+0.000507635
+0.00100506
+0.00229164
+0.00356874
+0.00520243
+0.0069156
+0.00872627
+0.0104811
+0.0121584
+0.0139695
+0.0158622
+0.017808
+0.019676
+0.0215708
+0.023517
+0.0255029
+0.02752
+0.0295344
+0.0315035
+0.0335
+0.033076
+0.0320048
+0.0310286
+0.0301561
+0.0294071
+0.0287971
+0.0282019
+0.0277072
+0.0272881
+0.0269843
+0.0268558
+0.0268717
+0.0269425
+0.0271073
+0.0274129
+0.0278211
+0.0283929
+0.0291187
+0.0299459
+0.0307459
+0.0316677
+0.0327105
+0.0331434
+0.0336024
+0.0341196
+0.0347385
+0.0354536
+0.0362544
+0.0371575
+0.0381564
+0.0392026
+0.0403353
+0.0415487
+0.0428293
+0.0441016
+0.045399
+0.0467629
+0.0515168
+0.0502773
+0.049097
+0.0479467
+0.0468014
+0.0457323
+0.0447243
+0.0437393
+0.0427721
+0.0418819
+0.0410893
+0.0397619
+0.0384543
+0.0372298
+0.0360745
+0.035017
+0.0340654
+0.0332304
+0.032494
+0.0318844
+0.0314053
+0.0310737
+0.0304141
+0.0296788
+0.0284993
+0.0264555
+0.0244371
+0.0224435
+0.0204818
+0.0185713
+0.0167297
+0.0149823
+0.0133661
+0.0117253
+0.0100356
+0.00851254
+0.00721309
+0.00619721
+0.00544304
+0.00522925
+0.00504267
+0.00348777
+0.0021185
+0.00198713
+0.00158435
+0.00223698
+0.00392942
+0.00536095
+0.00700351
+0.0085813
+0.0101389
+0.0118541
+0.0137054
+0.0156301
+0.0174314
+0.0192979
+0.0212265
+0.0232016
+0.0252124
+0.0271944
+0.0291569
+0.0311498
+0.0330498
+0.0318633
+0.0307594
+0.0297759
+0.0289005
+0.0281605
+0.0274627
+0.0268596
+0.0263636
+0.0260258
+0.0257302
+0.025596
+0.0256429
+0.0257606
+0.0259687
+0.0263178
+0.0268025
+0.0273516
+0.0280049
+0.0288104
+0.0296721
+0.0306263
+0.0316533
+0.0319984
+0.0324288
+0.0329488
+0.0335239
+0.0342297
+0.0350551
+0.0359789
+0.0370096
+0.0380785
+0.0392278
+0.0404633
+0.0417376
+0.0429946
+0.0443244
+0.0457204
+0.0501605
+0.0489276
+0.0477215
+0.0465138
+0.0453732
+0.0442803
+0.0432167
+0.0422402
+0.0413269
+0.040417
+0.0395866
+0.038735
+0.0373915
+0.0361226
+0.0349279
+0.0338325
+0.0328466
+0.0319806
+0.0312355
+0.0306081
+0.0301148
+0.0297688
+0.0291115
+0.0283669
+0.0276825
+0.0271449
+0.0252001
+0.0232646
+0.0213783
+0.0195556
+0.017816
+0.0161864
+0.0145968
+0.0129132
+0.0113558
+0.00995229
+0.00877221
+0.00778635
+0.00711621
+0.00694254
+0.00628552
+0.00474446
+0.00380108
+0.00288352
+0.0027051
+0.00309804
+0.00384538
+0.00536231
+0.00682489
+0.00841905
+0.0101614
+0.0119503
+0.0137615
+0.015469
+0.0172834
+0.0191643
+0.0211051
+0.0230838
+0.0250039
+0.0269552
+0.0289307
+0.0305144
+0.0310755
+0.0306843
+0.0295928
+0.0285699
+0.0276534
+0.0268104
+0.0260825
+0.0254925
+0.025044
+0.0247438
+0.0245263
+0.0244049
+0.0243463
+0.0244575
+0.0247195
+0.0250568
+0.0255025
+0.026125
+0.0269119
+0.0277798
+0.0286923
+0.0296766
+0.0305374
+0.0308799
+0.0313112
+0.0317796
+0.0323754
+0.0331058
+0.0339433
+0.0348899
+0.0359211
+0.0370055
+0.0381751
+0.0393781
+0.0406151
+0.0419279
+0.0433118
+0.0447267
+0.0488014
+0.0475708
+0.0463392
+0.0450883
+0.0439108
+0.042813
+0.041762
+0.0407505
+0.039834
+0.0389831
+0.0381311
+0.0373376
+0.0362284
+0.0350912
+0.0338594
+0.0327281
+0.0317079
+0.0308099
+0.0300451
+0.0294143
+0.0289137
+0.0285713
+0.0278521
+0.0271365
+0.026445
+0.0258991
+0.0253887
+0.0242563
+0.0224535
+0.0207256
+0.0190929
+0.0175457
+0.0158522
+0.0142752
+0.0128387
+0.0115502
+0.0104858
+0.00957499
+0.0090061
+0.00886125
+0.00768715
+0.00610944
+0.00489834
+0.00419799
+0.0042448
+0.00399107
+0.00466707
+0.00552192
+0.00687494
+0.00858115
+0.0104345
+0.0121357
+0.0139227
+0.0156126
+0.017412
+0.0192804
+0.0211024
+0.0229792
+0.0249074
+0.0268657
+0.0279308
+0.0283838
+0.0289861
+0.0294982
+0.028402
+0.0273506
+0.0263613
+0.0254755
+0.0247525
+0.0241665
+0.0237316
+0.0234891
+0.0232999
+0.0231553
+0.0230935
+0.0232274
+0.0235358
+0.0238411
+0.0243091
+0.0249614
+0.0257838
+0.0267607
+0.0276916
+0.0287041
+0.0294042
+0.0298543
+0.0302012
+0.0306791
+0.0312911
+0.0320244
+0.0328874
+0.0338431
+0.0348938
+0.0359986
+0.0370974
+0.0382828
+0.0395517
+0.0408987
+0.0423163
+0.0437509
+0.0474843
+0.0462371
+0.0450096
+0.0437261
+0.0425109
+0.041376
+0.0403283
+0.0393266
+0.0383761
+0.0375095
+0.0366904
+0.0358826
+0.0348411
+0.0337608
+0.0327915
+0.0317367
+0.0306835
+0.0297546
+0.028962
+0.0283171
+0.0278163
+0.0274653
+0.0266867
+0.025939
+0.0252813
+0.0247289
+0.024198
+0.0237512
+0.0234908
+0.0220517
+0.0205247
+0.0188409
+0.0172567
+0.0157903
+0.0144589
+0.0133106
+0.0122927
+0.0114782
+0.0110035
+0.0103459
+0.0087056
+0.00729647
+0.00634727
+0.00590972
+0.00561628
+0.00548698
+0.00552829
+0.00625616
+0.00751489
+0.00911675
+0.0106562
+0.0123165
+0.0141221
+0.0159433
+0.0176603
+0.0194087
+0.0212153
+0.023083
+0.0250032
+0.0254498
+0.0257787
+0.0262631
+0.0269129
+0.0277211
+0.0272918
+0.0261562
+0.0251465
+0.024259
+0.0234979
+0.0228878
+0.0224694
+0.0222495
+0.0220338
+0.0220011
+0.0219425
+0.0220047
+0.022248
+0.0227011
+0.0232017
+0.0238841
+0.0247421
+0.025733
+0.0266737
+0.0274926
+0.0281321
+0.0287642
+0.0291649
+0.0296689
+0.0302833
+0.0310159
+0.0318493
+0.0327972
+0.0338425
+0.034904
+0.0360308
+0.0372525
+0.03856
+0.0399172
+0.0412059
+0.0425588
+0.0462312
+0.0449493
+0.0437396
+0.0424278
+0.041175
+0.0400022
+0.0389176
+0.0379285
+0.0369474
+0.036039
+0.0352386
+0.0344893
+0.0335317
+0.0324147
+0.0314038
+0.030517
+0.0297443
+0.0288275
+0.0280087
+0.0273412
+0.0268224
+0.0263509
+0.025575
+0.024841
+0.0241769
+0.0236202
+0.0231382
+0.0226706
+0.0223792
+0.0222462
+0.02186
+0.0202732
+0.0187887
+0.0174299
+0.0161995
+0.0151467
+0.014198
+0.013469
+0.0130558
+0.0115129
+0.0100252
+0.0088283
+0.00790517
+0.00715268
+0.00687189
+0.00652899
+0.0068159
+0.00752928
+0.0084753
+0.00970825
+0.0112302
+0.0126711
+0.0143036
+0.0160695
+0.0179001
+0.019738
+0.0215515
+0.0231689
+0.0231182
+0.0232744
+0.0236325
+0.0241548
+0.0248598
+0.0257325
+0.0260881
+0.0250286
+0.0240423
+0.0231481
+0.0223619
+0.0217436
+0.0213027
+0.0210269
+0.0208409
+0.0207803
+0.0207235
+0.0207938
+0.0210802
+0.0215579
+0.0222259
+0.0229374
+0.0238235
+0.0246612
+0.0255813
+0.0261949
+0.0268669
+0.0276614
+0.0280798
+0.0286245
+0.0292548
+0.0299514
+0.0307884
+0.0317491
+0.0328168
+0.0338714
+0.0350314
+0.0362829
+0.0374547
+0.0387069
+0.0400166
+0.041356
+0.0450499
+0.0437333
+0.042489
+0.041205
+0.0399138
+0.0387029
+0.0375808
+0.0365556
+0.0355411
+0.0346248
+0.0338007
+0.0330997
+0.0321922
+0.0311015
+0.0300774
+0.0291565
+0.0283679
+0.0276977
+0.0271876
+0.0264514
+0.0257433
+0.0251761
+0.0244547
+0.0236748
+0.0230773
+0.0226129
+0.0221379
+0.0216784
+0.021402
+0.0212629
+0.0213488
+0.0216152
+0.020423
+0.0191538
+0.0180384
+0.0170172
+0.0161508
+0.0155138
+0.0144266
+0.0128984
+0.0115847
+0.0103686
+0.0093334
+0.00864807
+0.00813416
+0.00799701
+0.00828103
+0.00877558
+0.00949068
+0.0105075
+0.0116316
+0.0130281
+0.0146209
+0.0163525
+0.0181835
+0.0200866
+0.0212683
+0.0209855
+0.0209295
+0.021102
+0.0214896
+0.0220626
+0.0228323
+0.0237796
+0.0248841
+0.0238675
+0.0229315
+0.0220248
+0.0212751
+0.0206616
+0.0201519
+0.019815
+0.019648
+0.0194854
+0.0195371
+0.0196333
+0.0199419
+0.0204416
+0.021103
+0.0218821
+0.022668
+0.0235438
+0.0244148
+0.0249782
+0.0256629
+0.0264934
+0.0270436
+0.0275799
+0.0281875
+0.0289033
+0.0297634
+0.0307558
+0.0318672
+0.0329373
+0.0339696
+0.035084
+0.0362433
+0.0374616
+0.0387634
+0.040101
+0.0439399
+0.0425954
+0.0413168
+0.0400611
+0.0387356
+0.0374867
+0.0363269
+0.0352653
+0.0342174
+0.0332655
+0.0324296
+0.0316983
+0.0308114
+0.0297408
+0.0287959
+0.0278594
+0.0270566
+0.0263886
+0.0258543
+0.0251622
+0.0244228
+0.0238541
+0.0232659
+0.0225003
+0.0218833
+0.0213969
+0.0210506
+0.0207132
+0.0204713
+0.0204083
+0.0205431
+0.0208316
+0.0210514
+0.0209626
+0.0199185
+0.0189549
+0.0181579
+0.0174009
+0.0158565
+0.0144799
+0.0130902
+0.0118895
+0.0109411
+0.010074
+0.00963642
+0.00965247
+0.00978774
+0.010137
+0.0105142
+0.0112865
+0.0123903
+0.0137298
+0.0152494
+0.0169168
+0.0186926
+0.0196436
+0.0191186
+0.0188036
+0.0187411
+0.0189335
+0.0193573
+0.0199916
+0.0208379
+0.0218717
+0.0230655
+0.0226882
+0.021711
+0.0208504
+0.0201592
+0.0195091
+0.0190183
+0.0186746
+0.0184422
+0.0183363
+0.018313
+0.0183955
+0.0187121
+0.0192486
+0.0200118
+0.0208018
+0.0215736
+0.0224859
+0.023308
+0.0238975
+0.0245948
+0.0254601
+0.0259615
+0.0264809
+0.0271166
+0.0278598
+0.0287512
+0.0297774
+0.0308353
+0.0317781
+0.0327605
+0.0338118
+0.0349273
+0.0361413
+0.0374285
+0.0387377
+0.042898
+0.0415358
+0.0402299
+0.038987
+0.0376443
+0.0363618
+0.035165
+0.0340672
+0.0329861
+0.0319977
+0.0311322
+0.030377
+0.029527
+0.028408
+0.0274188
+0.0265733
+0.0258134
+0.0251367
+0.0246119
+0.0239512
+0.0231825
+0.0225842
+0.0220042
+0.0214119
+0.020794
+0.020194
+0.0197909
+0.0196255
+0.0196756
+0.0196188
+0.0197917
+0.0201554
+0.0201786
+0.0203838
+0.0208188
+0.020927
+0.0202032
+0.0188596
+0.0173582
+0.01591
+0.0146467
+0.0135289
+0.0124901
+0.011738
+0.0113646
+0.0112638
+0.0113208
+0.011369
+0.0116937
+0.0124028
+0.0134157
+0.0146872
+0.0161523
+0.0177356
+0.0183928
+0.0175606
+0.0169721
+0.0166236
+0.0165529
+0.0167705
+0.0172397
+0.0179489
+0.018887
+0.0200218
+0.0213137
+0.021567
+0.0205671
+0.0196709
+0.0189712
+0.0184398
+0.0179069
+0.0174675
+0.0172447
+0.0170438
+0.0170929
+0.017181
+0.0175305
+0.0181011
+0.0188416
+0.0196282
+0.0205318
+0.0214794
+0.0223423
+0.0229567
+0.0236817
+0.0245348
+0.0248917
+0.0254329
+0.026147
+0.0269256
+0.0278469
+0.0288466
+0.0295626
+0.0303998
+0.031336
+0.0323887
+0.0335516
+0.0348051
+0.0360953
+0.0374511
+0.0419448
+0.0405506
+0.0392293
+0.0379699
+0.0366305
+0.0353338
+0.034103
+0.0329695
+0.031854
+0.0308335
+0.0299344
+0.0290394
+0.0279963
+0.0270842
+0.0261513
+0.025262
+0.0245006
+0.0239162
+0.0234427
+0.0225977
+0.0218958
+0.0212696
+0.020839
+0.0203451
+0.0197496
+0.0190862
+0.0186578
+0.018481
+0.0185628
+0.0188146
+0.0190828
+0.0192115
+0.0193709
+0.0196774
+0.0201364
+0.020817
+0.0214803
+0.0202942
+0.018817
+0.01749
+0.016266
+0.0151121
+0.0142
+0.0135432
+0.0131815
+0.0129344
+0.012919
+0.0128423
+0.0131306
+0.0137659
+0.0146984
+0.0158674
+0.0172367
+0.0176043
+0.0164436
+0.0155072
+0.0148375
+0.0144465
+0.014365
+0.0146152
+0.0151428
+0.0159456
+0.0169947
+0.0182412
+0.0196502
+0.0205444
+0.0195258
+0.0186103
+0.0179172
+0.0172871
+0.0167916
+0.0163942
+0.016113
+0.0158978
+0.015882
+0.0159769
+0.0163671
+0.016991
+0.0176863
+0.0185225
+0.0194662
+0.0204536
+0.0215435
+0.0221454
+0.0228533
+0.0235079
+0.0238801
+0.0244437
+0.0251858
+0.0260576
+0.0268267
+0.0274146
+0.028142
+0.0289803
+0.0299556
+0.0310552
+0.0322581
+0.0335302
+0.0348481
+0.0362494
+0.0410864
+0.039662
+0.03831
+0.0370383
+0.0357223
+0.034391
+0.0331247
+0.0319564
+0.0308344
+0.0297814
+0.0288097
+0.0276163
+0.0265172
+0.0255524
+0.0247288
+0.0240548
+0.0232674
+0.0226513
+0.0222348
+0.0213526
+0.0205773
+0.0199928
+0.019523
+0.0192493
+0.0188343
+0.0181572
+0.0177064
+0.0175199
+0.0175919
+0.0178435
+0.0181541
+0.0181478
+0.0183147
+0.0187211
+0.0193099
+0.0200297
+0.0206776
+0.020717
+0.020407
+0.0191047
+0.0178753
+0.0168321
+0.0160182
+0.0153962
+0.0149281
+0.0147198
+0.0145141
+0.014498
+0.0147541
+0.0153222
+0.0161696
+0.0172463
+0.0173141
+0.0158523
+0.0145633
+0.0134971
+0.012722
+0.0122736
+0.0121776
+0.0124718
+0.0130768
+0.0139986
+0.015179
+0.0165588
+0.0180975
+0.0186097
+0.0185914
+0.0176593
+0.0167836
+0.0160959
+0.0155979
+0.0152118
+0.0149906
+0.0149087
+0.014777
+0.0149062
+0.0153216
+0.0159324
+0.0166218
+0.0174555
+0.0185123
+0.0195532
+0.0206284
+0.0214216
+0.0221595
+0.0226111
+0.0229979
+0.0235826
+0.0242576
+0.0250216
+0.0254577
+0.0260471
+0.0267762
+0.0276559
+0.0286763
+0.0298155
+0.0310146
+0.0322913
+0.0336577
+0.0350939
+0.0403088
+0.0388558
+0.0374745
+0.0361733
+0.0349282
+0.0335646
+0.032265
+0.0310636
+0.0298827
+0.0288201
+0.027493
+0.0262411
+0.0251182
+0.0241069
+0.0232494
+0.0225366
+0.0219912
+0.0215353
+0.0210969
+0.0202043
+0.0194111
+0.0188022
+0.0183229
+0.0180552
+0.0177813
+0.0174143
+0.0169438
+0.0167488
+0.0168367
+0.0170994
+0.017304
+0.0172553
+0.0174208
+0.017839
+0.0184847
+0.0192629
+0.0198721
+0.0197641
+0.0195689
+0.0194583
+0.0195793
+0.018649
+0.017814
+0.0171616
+0.016743
+0.0165487
+0.0162485
+0.0162409
+0.0164897
+0.0170138
+0.0166585
+0.0161149
+0.0157441
+0.0142172
+0.0127768
+0.0115528
+0.010637
+0.0101081
+0.00999134
+0.0103407
+0.0110589
+0.0121349
+0.0134705
+0.0150037
+0.0160288
+0.016515
+0.0172354
+0.0167457
+0.0158
+0.0150693
+0.0144715
+0.0140929
+0.0139072
+0.0137926
+0.0136996
+0.0138527
+0.0142367
+0.0149004
+0.0156331
+0.016516
+0.0174771
+0.0185809
+0.0197574
+0.0206457
+0.0213617
+0.021565
+0.0218826
+0.0223302
+0.0229496
+0.023723
+0.0241565
+0.0247642
+0.0255255
+0.0264469
+0.0274726
+0.0285992
+0.0298179
+0.0311387
+0.0325535
+0.0340329
+0.0396338
+0.0381551
+0.0367475
+0.0354196
+0.0341806
+0.0328634
+0.0315342
+0.0302747
+0.0290617
+0.027706
+0.0262847
+0.0249723
+0.0237897
+0.0227428
+0.0218371
+0.0211121
+0.0205593
+0.0201726
+0.0199844
+0.0191893
+0.0183768
+0.0177426
+0.0172407
+0.0169201
+0.0168625
+0.0167633
+0.0164151
+0.0162138
+0.016307
+0.0166129
+0.0166469
+0.0165429
+0.0167277
+0.0171458
+0.0177533
+0.0185622
+0.0190094
+0.0188182
+0.0186882
+0.0185742
+0.0187073
+0.0190926
+0.0194797
+0.0190061
+0.018629
+0.0183525
+0.0180822
+0.0178511
+0.0166536
+0.0155112
+0.0146099
+0.0139963
+0.0136466
+0.0127498
+0.0111209
+0.00971396
+0.00860461
+0.00795647
+0.00780754
+0.0082355
+0.00912102
+0.010388
+0.0119122
+0.0135701
+0.0139302
+0.0144487
+0.0152269
+0.0160015
+0.01501
+0.0142424
+0.0135606
+0.013185
+0.0129533
+0.0128174
+0.0128007
+0.0129478
+0.0134199
+0.0140119
+0.0147243
+0.0155491
+0.0165035
+0.0176793
+0.0189532
+0.0198214
+0.0202117
+0.0203184
+0.0206583
+0.021099
+0.0217422
+0.0225348
+0.0229907
+0.0236095
+0.0243649
+0.0252881
+0.0263272
+0.0274715
+0.0287332
+0.0300991
+0.0315426
+0.0330682
+0.0390702
+0.0375693
+0.0361389
+0.0347877
+0.0335254
+0.0322759
+0.0309339
+0.0296271
+0.0281988
+0.0266518
+0.0252002
+0.0238303
+0.0225855
+0.0214881
+0.0205271
+0.0197632
+0.0192199
+0.0188564
+0.0186935
+0.0182159
+0.0174976
+0.0168382
+0.0163058
+0.0159978
+0.0159369
+0.0161449
+0.016136
+0.0159312
+0.016026
+0.0163615
+0.0162007
+0.0160939
+0.0162484
+0.0166704
+0.0172706
+0.0179492
+0.0182358
+0.0179672
+0.0178736
+0.0178562
+0.017995
+0.0183371
+0.0187384
+0.0193327
+0.0199593
+0.0189894
+0.0174982
+0.0160914
+0.0148037
+0.0136432
+0.0126091
+0.0118928
+0.0114968
+0.0113384
+0.00968004
+0.00802611
+0.0066732
+0.00581447
+0.00562908
+0.00618997
+0.00731869
+0.00882527
+0.0105136
+0.011521
+0.0118181
+0.0124252
+0.0132541
+0.0143265
+0.0144492
+0.0136111
+0.0128951
+0.0124708
+0.0122236
+0.0120324
+0.0120963
+0.012233
+0.012627
+0.0131584
+0.0139202
+0.014735
+0.0157389
+0.0169604
+0.0181227
+0.0188777
+0.0190827
+0.0191958
+0.0195428
+0.019997
+0.0206628
+0.0215047
+0.0219183
+0.0225178
+0.0232831
+0.0242091
+0.0252692
+0.0264548
+0.0277629
+0.0291627
+0.0306502
+0.0322182
+0.0386119
+0.0371038
+0.0356547
+0.0342845
+0.0330029
+0.0318204
+0.0303364
+0.028735
+0.0272158
+0.0257147
+0.0242113
+0.0228064
+0.0215023
+0.0203512
+0.0193694
+0.0185579
+0.0179782
+0.0176532
+0.0175279
+0.0174224
+0.0167257
+0.0161216
+0.0155716
+0.0152883
+0.0152387
+0.0154777
+0.015904
+0.0159472
+0.0160419
+0.0163771
+0.0160074
+0.0158993
+0.0160219
+0.0163932
+0.0169592
+0.0171908
+0.0174677
+0.0172088
+0.0170724
+0.0171165
+0.017321
+0.0177282
+0.0181941
+0.0188432
+0.0192166
+0.0175113
+0.0158923
+0.014408
+0.0130204
+0.0117818
+0.010683
+0.00982736
+0.00936605
+0.00934682
+0.0084988
+0.00663661
+0.00493539
+0.00372809
+0.00346609
+0.00429026
+0.00575037
+0.00748973
+0.00925575
+0.00938639
+0.00974055
+0.0103797
+0.0113543
+0.0125405
+0.0139607
+0.0132597
+0.0125236
+0.0120507
+0.011784
+0.0115619
+0.0115474
+0.0115904
+0.0118873
+0.0123447
+0.0130957
+0.0139057
+0.0149653
+0.0161388
+0.0172606
+0.0179334
+0.0181491
+0.0182679
+0.0185877
+0.0190646
+0.0197569
+0.02053
+0.020941
+0.0215331
+0.0223172
+0.0232574
+0.024344
+0.0255726
+0.0269236
+0.0283648
+0.0298921
+0.0314978
+0.038083
+0.0367486
+0.0353001
+0.0339155
+0.0326194
+0.0310201
+0.0293114
+0.0276634
+0.0260819
+0.0245939
+0.0232102
+0.0218828
+0.0205583
+0.0193526
+0.0183216
+0.0174727
+0.0168558
+0.0164993
+0.0163826
+0.0165545
+0.0160164
+0.0155031
+0.0150947
+0.0148227
+0.0148197
+0.0150897
+0.0156028
+0.0162039
+0.0163317
+0.0164915
+0.016091
+0.0159134
+0.0159898
+0.0159896
+0.0159478
+0.0161686
+0.0166459
+0.0165804
+0.0164885
+0.0164795
+0.0167408
+0.0172291
+0.0177173
+0.018367
+0.0179914
+0.0161574
+0.0144232
+0.0127956
+0.0113157
+0.0099647
+0.00877995
+0.00783032
+0.00727099
+0.00725643
+0.00710728
+0.00566821
+0.00364462
+0.00186931
+0.00137159
+0.00272714
+0.00453147
+0.00643558
+0.00709362
+0.00725169
+0.00760329
+0.0083985
+0.00951483
+0.0109016
+0.0124498
+0.0131937
+0.0124611
+0.0119658
+0.0115938
+0.011355
+0.0112082
+0.011158
+0.011364
+0.0117698
+0.0123878
+0.013208
+0.0142901
+0.0154825
+0.0163853
+0.0171957
+0.0173454
+0.017487
+0.0178461
+0.0183423
+0.0190578
+0.0197203
+0.0201109
+0.0207179
+0.0215053
+0.0224634
+0.0235867
+0.0248527
+0.0262408
+0.0277175
+0.0292786
+0.0309127
+0.0370856
+0.0361487
+0.0350604
+0.0336852
+0.0319261
+0.0301453
+0.0283984
+0.0267017
+0.0250818
+0.0235377
+0.0220957
+0.0207824
+0.0195827
+0.018529
+0.0174585
+0.0165796
+0.0159281
+0.0155504
+0.015424
+0.0155499
+0.0154329
+0.015064
+0.0147685
+0.0146197
+0.0146696
+0.0149547
+0.0155207
+0.0163046
+0.0168693
+0.0168597
+0.0164003
+0.0160612
+0.0154912
+0.0151648
+0.01514
+0.015373
+0.0158619
+0.0160217
+0.0161025
+0.016116
+0.016383
+0.0168894
+0.0174469
+0.0181111
+0.0169444
+0.014999
+0.0131164
+0.0113405
+0.00969993
+0.00822648
+0.00691189
+0.00586906
+0.00515776
+0.0050681
+0.00527873
+0.00456492
+0.00314406
+0.000990634
+9.44677e-05
+0.00185313
+0.00354378
+0.00457106
+0.00493652
+0.0051065
+0.00550817
+0.00649341
+0.00785768
+0.00942194
+0.0110957
+0.0128028
+0.0127277
+0.0121793
+0.0117765
+0.0114667
+0.0111121
+0.0109552
+0.0110638
+0.0113774
+0.0119775
+0.012824
+0.013795
+0.0149235
+0.0155423
+0.0163896
+0.0167805
+0.0169268
+0.0173333
+0.0178612
+0.0185734
+0.0190896
+0.0194834
+0.0200809
+0.0208752
+0.021861
+0.0230136
+0.0243095
+0.0257269
+0.0272157
+0.0287935
+0.0304472
+0.036146
+0.0352116
+0.0343492
+0.0330145
+0.0311554
+0.0293362
+0.027571
+0.0258643
+0.0242074
+0.022621
+0.0211345
+0.0197609
+0.018545
+0.0174776
+0.0165963
+0.015926
+0.0152548
+0.0148003
+0.0146071
+0.01474
+0.0149908
+0.0147706
+0.0146764
+0.0146149
+0.0147925
+0.0151267
+0.0156865
+0.0165045
+0.017521
+0.0171982
+0.016255
+0.0154303
+0.0148361
+0.0145438
+0.0145216
+0.0148067
+0.015316
+0.0156642
+0.0157992
+0.0160032
+0.0162697
+0.0167673
+0.0173558
+0.018024
+0.0161036
+0.0140599
+0.012049
+0.0101099
+0.00826925
+0.00660649
+0.00514563
+0.00389991
+0.00304513
+0.00287916
+0.00317345
+0.00276743
+0.00242184
+0.000859006
+-0.000392406
+0.000940353
+0.00153171
+0.00296692
+0.00281839
+0.0029408
+0.00351518
+0.00482781
+0.00644789
+0.00802193
+0.00975942
+0.0116477
+0.0133136
+0.0127165
+0.0122812
+0.0117873
+0.0113425
+0.0110627
+0.0110263
+0.011278
+0.0117335
+0.012399
+0.0133048
+0.0139049
+0.0145333
+0.0153861
+0.0163965
+0.0166385
+0.0170518
+0.0176251
+0.0183396
+0.0186811
+0.019058
+0.0196504
+0.0204614
+0.0214662
+0.022639
+0.0239538
+0.0253566
+0.026865
+0.0284623
+0.0301342
+0.0352492
+0.0343282
+0.0334719
+0.0323871
+0.0304979
+0.0286497
+0.0268502
+0.0251013
+0.0234269
+0.0218082
+0.0202899
+0.0188943
+0.0176187
+0.016533
+0.015608
+0.0148988
+0.0144316
+0.0142296
+0.0140398
+0.0141781
+0.014639
+0.0146397
+0.014724
+0.0148642
+0.0151089
+0.0155577
+0.0161505
+0.0169614
+0.0178207
+0.0166801
+0.0157156
+0.0149038
+0.014318
+0.014021
+0.013998
+0.0143142
+0.0149471
+0.0154844
+0.0156673
+0.0160744
+0.0164375
+0.0168949
+0.0175102
+0.0176614
+0.0155139
+0.0133804
+0.0112689
+0.00919458
+0.00715794
+0.00522989
+0.00352124
+0.00207538
+0.00100429
+0.000691996
+0.00113267
+0.00124668
+0.000640814
+-0.000259399
+-0.00132175
+-0.00116128
+0.000310989
+0.000781282
+0.00074013
+0.000797009
+0.00176863
+0.0034011
+0.00493915
+0.00676163
+0.00874115
+0.0107946
+0.0128932
+0.0135613
+0.0130817
+0.0123981
+0.0118605
+0.0114528
+0.0112962
+0.011217
+0.0115179
+0.0121211
+0.0127878
+0.013121
+0.0137618
+0.0146408
+0.0156981
+0.0166162
+0.0170495
+0.0176253
+0.0183273
+0.0184775
+0.0188348
+0.019434
+0.0202537
+0.0212683
+0.0224514
+0.0237575
+0.0251713
+0.0266902
+0.0282973
+0.0299784
+0.0342237
+0.0333734
+0.0326478
+0.031843
+0.0299363
+0.028071
+0.026256
+0.0244694
+0.0227485
+0.0211148
+0.0195901
+0.0181588
+0.0168826
+0.0157768
+0.0148226
+0.0140788
+0.0136363
+0.013483
+0.0136343
+0.0139221
+0.0143397
+0.0146116
+0.0149184
+0.0152737
+0.0156597
+0.0161702
+0.0168423
+0.0176652
+0.0175836
+0.0164179
+0.0154251
+0.0146502
+0.0140645
+0.0137632
+0.0137645
+0.014086
+0.014711
+0.0155791
+0.0157929
+0.0162279
+0.0168555
+0.017282
+0.0179301
+0.0174034
+0.0152196
+0.013038
+0.0108601
+0.00868875
+0.00652728
+0.00438385
+0.00229872
+0.000460789
+-0.000982422
+-0.00149687
+-0.000877261
+-0.000468509
+-0.00137036
+-0.00208194
+-0.00319833
+-0.00232868
+-0.00120401
+-0.00135379
+-0.00136894
+-0.00116479
+0.000427765
+0.00190308
+0.00388231
+0.00599922
+0.0081552
+0.0102048
+0.0122531
+0.0143436
+0.014069
+0.0133095
+0.0126282
+0.0119416
+0.011445
+0.011279
+0.0115225
+0.0120732
+0.0122005
+0.0125492
+0.0131886
+0.0141306
+0.0152255
+0.0165309
+0.0173079
+0.017869
+0.0183825
+0.0184838
+0.018841
+0.0194401
+0.0202595
+0.0212738
+0.0224566
+0.0237612
+0.0251759
+0.0266945
+0.0283014
+0.0299741
+0.0332425
+0.032392
+0.0316578
+0.031061
+0.0294964
+0.0276095
+0.0257686
+0.0239798
+0.0222626
+0.0205938
+0.0190275
+0.0175949
+0.0163173
+0.015203
+0.0142479
+0.0135358
+0.0131014
+0.0129418
+0.0131393
+0.0136022
+0.014229
+0.0147553
+0.015228
+0.0157701
+0.0163457
+0.0169711
+0.0176832
+0.01856
+0.0172984
+0.0162123
+0.0153185
+0.0146056
+0.0140872
+0.0138503
+0.0138516
+0.0141711
+0.0147481
+0.0155756
+0.0162161
+0.01664
+0.0173157
+0.0179303
+0.0185319
+0.0173797
+0.0151946
+0.0130114
+0.0108312
+0.00865638
+0.00649217
+0.00435153
+0.00224051
+0.000188278
+-0.00154328
+-0.00336206
+-0.00296823
+-0.00265358
+-0.00319641
+-0.00407741
+-0.00507303
+-0.00403989
+-0.00333351
+-0.00346204
+-0.00352151
+-0.00248929
+-0.000561525
+0.00138692
+0.00335319
+0.00533711
+0.00743575
+0.00957569
+0.0117344
+0.0139031
+0.0151707
+0.0142766
+0.0131897
+0.0123636
+0.0118598
+0.0116947
+0.0117687
+0.0117995
+0.0117618
+0.0120465
+0.0127081
+0.0136723
+0.0148542
+0.016238
+0.01778
+0.0183726
+0.018648
+0.0187479
+0.0191002
+0.0196913
+0.0205007
+0.0215036
+0.022647
+0.0239285
+0.0253114
+0.0267965
+0.0283317
+0.0299242
+0.0323384
+0.0314959
+0.0307495
+0.0301347
+0.0291879
+0.0272845
+0.025425
+0.0236174
+0.021872
+0.0202134
+0.0186648
+0.0172468
+0.0159462
+0.0148395
+0.0139224
+0.0131983
+0.0128074
+0.0127401
+0.0129519
+0.0134282
+0.0141689
+0.0150041
+0.0156689
+0.0163922
+0.0171068
+0.0178957
+0.0186771
+0.0181557
+0.0168714
+0.0157798
+0.0148948
+0.0142673
+0.0139166
+0.0137927
+0.0139701
+0.0144036
+0.0149702
+0.015796
+0.0168462
+0.0173216
+0.017972
+0.0188128
+0.0193642
+0.0175714
+0.015394
+0.0132211
+0.0110551
+0.00890124
+0.00676961
+0.00466957
+0.00270123
+0.00133942
+-0.000588609
+-0.00263742
+-0.0046537
+-0.00484372
+-0.00522022
+-0.00611154
+-0.00698043
+-0.00598955
+-0.00546072
+-0.00556493
+-0.00519577
+-0.00321221
+-0.00102784
+0.00087739
+0.00290256
+0.00506282
+0.00724139
+0.00942557
+0.0112645
+0.0127977
+0.0142028
+0.0149639
+0.0139
+0.0130996
+0.0125601
+0.0121475
+0.0118139
+0.0115203
+0.0115858
+0.0118747
+0.0125453
+0.0134993
+0.0146951
+0.0160926
+0.0176
+0.0191154
+0.0191619
+0.0192591
+0.0196022
+0.0201787
+0.0209546
+0.0218653
+0.0229476
+0.0241047
+0.0253877
+0.0267886
+0.02829
+0.0298766
+0.0314919
+0.0306264
+0.0298967
+0.0293102
+0.0288282
+0.0271015
+0.0252309
+0.0234159
+0.0216705
+0.020012
+0.0184466
+0.0170197
+0.0157683
+0.0146838
+0.013785
+0.013124
+0.0127587
+0.0127385
+0.0130418
+0.0135764
+0.0143263
+0.0153104
+0.0162519
+0.0170542
+0.0179899
+0.0188351
+0.0193615
+0.0179413
+0.0166854
+0.0155808
+0.0147053
+0.0140694
+0.0137567
+0.0136678
+0.0139037
+0.0144167
+0.0151858
+0.0161756
+0.0173364
+0.0182264
+0.0188607
+0.0196737
+0.0200149
+0.0178667
+0.0157303
+0.0136111
+0.0115187
+0.00947083
+0.00750281
+0.00568061
+0.00410134
+0.00210351
+-5.12154e-05
+-0.00218908
+-0.00429659
+-0.00643939
+-0.00732763
+-0.00803281
+-0.00892084
+-0.00803473
+-0.00762397
+-0.00649667
+-0.00475813
+-0.00279723
+-0.000680992
+0.00111589
+0.0029052
+0.00491996
+0.00691848
+0.00855144
+0.0101593
+0.0114694
+0.0129158
+0.0143259
+0.0148647
+0.01389
+0.0131164
+0.0125394
+0.0118655
+0.0115732
+0.0116582
+0.0120791
+0.0127389
+0.0136602
+0.0148018
+0.0161417
+0.017635
+0.01922
+0.0198776
+0.0199714
+0.0202597
+0.0206836
+0.0213253
+0.0221268
+0.0231061
+0.0242444
+0.0255203
+0.0269144
+0.0283818
+0.0299015
+0.0307521
+0.0298842
+0.0291359
+0.0285365
+0.0280928
+0.027084
+0.025212
+0.0233953
+0.0216481
+0.0199883
+0.0184398
+0.0170306
+0.0157808
+0.0147521
+0.0139297
+0.0133031
+0.0129918
+0.0129882
+0.0133139
+0.0139522
+0.0147608
+0.01573
+0.0169049
+0.0178959
+0.0188514
+0.019944
+0.0193142
+0.0178902
+0.0166336
+0.0155849
+0.0147256
+0.0141562
+0.0138782
+0.013857
+0.0140996
+0.014624
+0.0154149
+0.0164039
+0.0175971
+0.0189605
+0.0199179
+0.0207218
+0.0204031
+0.0184196
+0.0163555
+0.0143291
+0.0123589
+0.0104766
+0.00846054
+0.00638663
+0.00435275
+0.00241517
+0.000415015
+-0.00166378
+-0.0038114
+-0.00597079
+-0.00814688
+-0.0100648
+-0.0108564
+-0.0101117
+-0.00831344
+-0.00650019
+-0.00466271
+-0.00290193
+-0.00101709
+0.000769723
+0.00267038
+0.00431778
+0.00592431
+0.00724546
+0.00841707
+0.00988793
+0.0112905
+0.0128796
+0.0146081
+0.0143647
+0.0132065
+0.012326
+0.0117191
+0.0114538
+0.011545
+0.0119907
+0.0127807
+0.0138266
+0.0150995
+0.016415
+0.0178824
+0.0194508
+0.0205735
+0.0205287
+0.0207169
+0.021122
+0.0217081
+0.0224932
+0.0233847
+0.0244342
+0.0256283
+0.0269479
+0.028373
+0.0298567
+0.0300776
+0.0292274
+0.0284878
+0.0278745
+0.0274176
+0.0271165
+0.025358
+0.0235526
+0.0218179
+0.0201721
+0.0186389
+0.0172429
+0.016013
+0.0150002
+0.0142342
+0.0136632
+0.013408
+0.0134606
+0.0138234
+0.0144858
+0.0153809
+0.0163994
+0.0175504
+0.0188313
+0.0198871
+0.0209547
+0.019474
+0.0180625
+0.0168188
+0.0157801
+0.014948
+0.0143993
+0.0141594
+0.0142077
+0.0145086
+0.0151038
+0.0158817
+0.0168502
+0.0180275
+0.0193816
+0.0208559
+0.0218276
+0.0197549
+0.0177106
+0.0157058
+0.0137578
+0.0117512
+0.00970666
+0.00764015
+0.00566771
+0.00369581
+0.00195743
+0.000199753
+-0.00172693
+-0.00382761
+-0.00598843
+-0.00816519
+-0.0103478
+-0.0121644
+-0.0105199
+-0.00870366
+-0.0067869
+-0.00489461
+-0.00322139
+-0.00165602
+-1.98465e-05
+0.00151757
+0.00293058
+0.00423839
+0.00541699
+0.00683152
+0.00830096
+0.00985964
+0.0116137
+0.013321
+0.0143331
+0.0131721
+0.0122529
+0.0116421
+0.0113801
+0.0114933
+0.0119066
+0.0126601
+0.0136879
+0.0149309
+0.0163738
+0.0179547
+0.0196526
+0.0212077
+0.0211643
+0.0212447
+0.0215204
+0.0220117
+0.0227046
+0.0235814
+0.0246011
+0.0257155
+0.0269621
+0.0283235
+0.0297829
+0.0295089
+0.0286538
+0.0279225
+0.0273319
+0.0268713
+0.026574
+0.0256904
+0.0239036
+0.0221868
+0.0205603
+0.0190471
+0.0176765
+0.0164777
+0.0154954
+0.0147618
+0.0142418
+0.0140178
+0.0141217
+0.0145062
+0.0151834
+0.01609
+0.017224
+0.0184009
+0.0196687
+0.0209695
+0.0213325
+0.0198208
+0.0184457
+0.0172307
+0.0162152
+0.0154057
+0.0148624
+0.0146302
+0.0147065
+0.0150591
+0.0156642
+0.0164646
+0.0174581
+0.0186138
+0.0199383
+0.0214054
+0.0214311
+0.0193274
+0.0172404
+0.0151736
+0.013147
+0.0111717
+0.00917964
+0.00711187
+0.0049894
+0.00287017
+0.000818841
+-0.00112041
+-0.00278751
+-0.00462673
+-0.00642226
+-0.00817453
+-0.00998659
+-0.0119143
+-0.011243
+-0.00933621
+-0.00748336
+-0.00575773
+-0.00422942
+-0.00273601
+-0.00141035
+2.94621e-06
+0.00123824
+0.00254151
+0.00384181
+0.00538094
+0.00689106
+0.00869213
+0.0104163
+0.012117
+0.0137987
+0.0133349
+0.0124734
+0.011874
+0.0116339
+0.0117238
+0.0120863
+0.0128183
+0.0138327
+0.0150637
+0.016495
+0.0180653
+0.0197538
+0.0215288
+0.0216329
+0.0216752
+0.0219032
+0.0223289
+0.0229315
+0.0237219
+0.024682
+0.0257928
+0.0269869
+0.0282484
+0.0296183
+0.0290434
+0.028179
+0.0274518
+0.0268839
+0.0264476
+0.0261553
+0.0260447
+0.0244153
+0.0227319
+0.0211409
+0.0196655
+0.0183338
+0.017179
+0.0162391
+0.015517
+0.0150568
+0.0148736
+0.014983
+0.0153827
+0.0160386
+0.0169543
+0.0180708
+0.0193418
+0.0206498
+0.0219805
+0.021806
+0.0203205
+0.0189707
+0.0177817
+0.0167955
+0.0160496
+0.0155303
+0.0153083
+0.0153979
+0.0157409
+0.0163412
+0.0171794
+0.0182096
+0.0194039
+0.0206802
+0.0220981
+0.0212154
+0.0191012
+0.0169878
+0.0148967
+0.0128294
+0.0107591
+0.00874761
+0.00672171
+0.00461299
+0.00252211
+0.000615575
+-0.00125053
+-0.00232726
+-0.00369118
+-0.005431
+-0.00740518
+-0.00931167
+-0.0107668
+-0.0111913
+-0.0100978
+-0.0086024
+-0.00703204
+-0.00560371
+-0.00424021
+-0.00294036
+-0.00147759
+-0.000109859
+0.000921756
+0.002691
+0.00406431
+0.00588295
+0.00757685
+0.00925797
+0.0109813
+0.0125529
+0.0135436
+0.0126918
+0.0121705
+0.0119569
+0.0120612
+0.0124884
+0.0132103
+0.0142247
+0.0154547
+0.0168529
+0.0184062
+0.0200788
+0.021843
+0.0220873
+0.0220529
+0.0222353
+0.0226293
+0.0232242
+0.0239156
+0.0247555
+0.0257549
+0.026896
+0.0280283
+0.0291233
+0.0286981
+0.0278619
+0.0271283
+0.0265535
+0.0261501
+0.0258715
+0.0257596
+0.025072
+0.0234351
+0.0218953
+0.0204743
+0.0191988
+0.0180993
+0.0172097
+0.0165195
+0.0160879
+0.0159309
+0.0160331
+0.0164295
+0.0170752
+0.017938
+0.0190152
+0.0202554
+0.02162
+0.0230582
+0.0224557
+0.0210161
+0.019714
+0.0185727
+0.0176308
+0.0169217
+0.01643
+0.0162203
+0.0163049
+0.016635
+0.0171985
+0.0180125
+0.0190316
+0.0201969
+0.0215091
+0.0229083
+0.0211031
+0.0189866
+0.016886
+0.0148117
+0.0127664
+0.0107148
+0.00867178
+0.00671099
+0.00482966
+0.00291862
+0.00137472
+0.000129523
+-0.00112152
+-0.00307035
+-0.00515645
+-0.00648352
+-0.00775097
+-0.0093507
+-0.00979812
+-0.00903178
+-0.0081716
+-0.00680968
+-0.00567333
+-0.00481862
+-0.00388484
+-0.00259471
+-0.001444
+0.000194668
+0.0015448
+0.00315843
+0.00480661
+0.00652902
+0.00826099
+0.00985999
+0.0115876
+0.0133976
+0.0131211
+0.0126264
+0.0124574
+0.0126376
+0.0130997
+0.0138452
+0.0148457
+0.0160568
+0.0174596
+0.0189633
+0.0205874
+0.0222901
+0.022565
+0.0225068
+0.0226035
+0.0228842
+0.0233531
+0.0240136
+0.0248502
+0.0258157
+0.0266688
+0.0276444
+0.0287541
+0.0284922
+0.0276498
+0.026938
+0.0263591
+0.0259527
+0.0257129
+0.0256027
+0.0256773
+0.024316
+0.0228356
+0.021477
+0.0202639
+0.0192233
+0.0183788
+0.0177232
+0.0173217
+0.0171918
+0.0172929
+0.017661
+0.0182699
+0.0190982
+0.0201318
+0.0213285
+0.0226538
+0.0240821
+0.0232616
+0.0218753
+0.0206086
+0.019504
+0.0185928
+0.0179047
+0.0174575
+0.0172602
+0.0173398
+0.017664
+0.0182338
+0.0189834
+0.019945
+0.0210911
+0.0223887
+0.0231509
+0.0210881
+0.0190538
+0.0170318
+0.0149776
+0.0129583
+0.0109973
+0.00904993
+0.00715947
+0.00535327
+0.00387987
+0.00268412
+0.00154457
+-0.000573134
+-0.00262871
+-0.00367416
+-0.00479058
+-0.00637737
+-0.00804049
+-0.00825804
+-0.00759011
+-0.00710222
+-0.0064535
+-0.00515274
+-0.00407295
+-0.00354855
+-0.00286246
+-0.0017317
+-0.000455712
+0.000925204
+0.00241733
+0.00405974
+0.00571139
+0.00736969
+0.00904003
+0.0108135
+0.0125842
+0.0137874
+0.0133175
+0.0131579
+0.0133317
+0.0138104
+0.0145833
+0.0155822
+0.0167721
+0.0181198
+0.0196146
+0.0212192
+0.0229136
+0.0229752
+0.022861
+0.0229202
+0.0231828
+0.0235828
+0.0241267
+0.0248056
+0.025514
+0.0263858
+0.0273798
+0.0284811
+0.0284539
+0.0276104
+0.0268976
+0.0263177
+0.0259107
+0.0256847
+0.0256264
+0.0257009
+0.0253206
+0.0239024
+0.0226079
+0.0214576
+0.0204777
+0.0196872
+0.0190766
+0.0187042
+0.0185842
+0.0187134
+0.0190541
+0.0196329
+0.0204059
+0.0213764
+0.0225188
+0.0238084
+0.0251908
+0.0241199
+0.0227847
+0.0215694
+0.0205166
+0.0196524
+0.0190027
+0.0185757
+0.0183904
+0.0184651
+0.018776
+0.0193158
+0.0200745
+0.0210224
+0.0221133
+0.0233555
+0.0233438
+0.0212996
+0.0192877
+0.0173168
+0.0153852
+0.0134725
+0.0115987
+0.00981267
+0.00800075
+0.00642745
+0.00519984
+0.00385535
+0.00186386
+0.000188536
+-0.000766276
+-0.00193348
+-0.00340866
+-0.00500699
+-0.00659784
+-0.00659383
+-0.00580986
+-0.00557282
+-0.00521943
+-0.00503157
+-0.00373641
+-0.00278568
+-0.00206113
+-0.00154001
+-0.000402369
+0.000810416
+0.00210194
+0.00347833
+0.00513931
+0.00670178
+0.00838158
+0.010187
+0.0119127
+0.0135619
+0.0142128
+0.0140739
+0.0142365
+0.0147105
+0.0154384
+0.0164283
+0.0175978
+0.0189358
+0.0204123
+0.0219746
+0.0236321
+0.0234167
+0.0231965
+0.0231705
+0.0233156
+0.0234864
+0.023834
+0.0243744
+0.0250816
+0.0259321
+0.0269344
+0.0280718
+0.0285701
+0.0277422
+0.0270352
+0.0264584
+0.0260535
+0.0258288
+0.0257723
+0.0258464
+0.0261048
+0.0251149
+0.0238856
+0.0227998
+0.0218801
+0.0211421
+0.0205747
+0.0202299
+0.0201191
+0.020246
+0.0205681
+0.0211071
+0.0218534
+0.0227642
+0.0238402
+0.025062
+0.0263978
+0.0251296
+0.0238441
+0.0226977
+0.0217037
+0.0208887
+0.0202782
+0.0198716
+0.0196986
+0.0197683
+0.0200665
+0.0205724
+0.0212891
+0.0221927
+0.02326
+0.0244475
+0.0237047
+0.0216946
+0.0197231
+0.0177926
+0.0159188
+0.0141365
+0.0124141
+0.0106797
+0.00908619
+0.00778621
+0.00652277
+0.00461407
+0.00299511
+0.00192932
+0.000905404
+-0.000483266
+-0.00198445
+-0.00351571
+-0.00498517
+-0.00506037
+-0.00411458
+-0.00364324
+-0.00364814
+-0.00341767
+-0.00338244
+-0.00250981
+-0.00138327
+-0.000594891
+0.000141783
+0.00110867
+0.00209065
+0.00335346
+0.00478327
+0.0063651
+0.00795274
+0.00962146
+0.0112073
+0.0128587
+0.014632
+0.0151556
+0.0153355
+0.015792
+0.0165174
+0.0174462
+0.0185846
+0.0198851
+0.0213049
+0.022847
+0.024196
+0.0237603
+0.0233665
+0.0231193
+0.0230598
+0.023208
+0.0235597
+0.0240924
+0.0247837
+0.0256442
+0.0266573
+0.027806
+0.0288021
+0.0279861
+0.0273219
+0.0267781
+0.0263782
+0.0261562
+0.0261004
+0.0261736
+0.0264288
+0.0264535
+0.0252887
+0.0242658
+0.0234039
+0.0226991
+0.0221716
+0.021852
+0.0217494
+0.0218669
+0.0221821
+0.0226828
+0.0233789
+0.0242487
+0.0252688
+0.0264224
+0.0276028
+0.0262557
+0.0250281
+0.0239384
+0.0230063
+0.0222515
+0.0216619
+0.0212789
+0.0211174
+0.0211824
+0.0214719
+0.0219712
+0.022638
+0.0234909
+0.0245105
+0.0255053
+0.0238045
+0.0221835
+0.0203744
+0.0185081
+0.0167176
+0.0150329
+0.0133037
+0.0116841
+0.010248
+0.00905984
+0.00756868
+0.00593129
+0.00460844
+0.00375561
+0.00247478
+0.00103017
+-0.000452781
+-0.00189739
+-0.00320336
+-0.00367841
+-0.0024378
+-0.00181583
+-0.00170566
+-0.00175219
+-0.00168161
+-0.00160184
+-0.000669383
+0.000376932
+0.00112732
+0.00177087
+0.00256963
+0.0037562
+0.00487143
+0.00616602
+0.00762298
+0.00919707
+0.0107403
+0.0124317
+0.0140742
+0.0157729
+0.0165968
+0.0170253
+0.0177104
+0.0186074
+0.0196819
+0.0209313
+0.0223261
+0.023809
+0.0242689
+0.0236877
+0.0232632
+0.0230266
+0.022967
+0.0231157
+0.0234689
+0.0239831
+0.0246775
+0.0255415
+0.0265585
+0.0277065
+0.0291597
+0.028354
+0.0276985
+0.0272042
+0.026827
+0.0266088
+0.02657
+0.0266772
+0.0269276
+0.0273518
+0.0267978
+0.0258347
+0.0250176
+0.0243526
+0.0238617
+0.023565
+0.02347
+0.0235789
+0.0238882
+0.0243538
+0.0250034
+0.0258186
+0.0267789
+0.0278788
+0.0287989
+0.0275104
+0.0263413
+0.0253083
+0.0244285
+0.0237179
+0.0231623
+0.0228046
+0.022654
+0.0227146
+0.0229848
+0.0234557
+0.0240819
+0.0248853
+0.02585
+0.0249009
+0.0231858
+0.0215182
+0.0199495
+0.0183468
+0.0167582
+0.0152846
+0.013997
+0.0128694
+0.0116015
+0.0103508
+0.00889639
+0.00744421
+0.00635343
+0.00524031
+0.0040016
+0.00259779
+0.0011882
+-0.000207604
+-0.00133046
+-0.00209331
+-0.000949454
+1.76293e-05
+0.000171805
+9.28732e-05
+0.000109083
+0.00014135
+0.000436006
+0.00134577
+0.00211128
+0.00153426
+0.00154739
+0.00217303
+0.00327418
+0.00468382
+0.00643266
+0.00837195
+0.0103367
+0.0119837
+0.0136031
+0.015354
+0.0172059
+0.0184054
+0.0190409
+0.0198986
+0.0209316
+0.0221105
+0.0234353
+0.0248827
+0.0243886
+0.0237824
+0.0233564
+0.0231208
+0.0230613
+0.0232095
+0.0235612
+0.0240735
+0.0247653
+0.0256264
+0.0266328
+0.0277514
+0.0296492
+0.0288572
+0.0282135
+0.0277283
+0.0274101
+0.0272127
+0.0271748
+0.027301
+0.0275659
+0.0279819
+0.0283864
+0.0274628
+0.0266876
+0.0260738
+0.0256258
+0.0253498
+0.0252614
+0.0253627
+0.0256513
+0.0260891
+0.0266965
+0.0274657
+0.028378
+0.0294181
+0.0301071
+0.028877
+0.0277656
+0.0267875
+0.0259559
+0.025277
+0.0247574
+0.024423
+0.0242824
+0.024339
+0.0245914
+0.0250236
+0.0256199
+0.0263845
+0.0258651
+0.0240551
+0.0223135
+0.0206574
+0.0189444
+0.0172987
+0.0157837
+0.0143447
+0.012877
+0.0115359
+0.0104407
+0.00971811
+0.00931996
+0.00897191
+0.00799682
+0.00683569
+0.0055914
+0.00427254
+0.00285317
+0.00160409
+0.000629904
+2.32404e-05
+0.000593642
+0.00172852
+0.00199364
+0.00187727
+0.00183903
+0.00175078
+0.00186139
+0.000827355
+0.000624328
+-0.000437739
+-0.000458229
+0.00051768
+0.00180861
+0.00363028
+0.00564541
+0.00774365
+0.00969241
+0.0113987
+0.0131542
+0.0149499
+0.0168394
+0.0187504
+0.0205196
+0.0213178
+0.0222979
+0.0234347
+0.024689
+0.0252497
+0.0244975
+0.0239063
+0.0234825
+0.0232582
+0.0232157
+0.0233628
+0.0237123
+0.0242554
+0.0249716
+0.0258259
+0.0268323
+0.0279682
+0.0302897
+0.0295149
+0.0288858
+0.0284121
+0.0281016
+0.0279599
+0.0279387
+0.0280615
+0.0283193
+0.0287345
+0.0292966
+0.0291573
+0.0284283
+0.0278529
+0.02743
+0.0271723
+0.0270899
+0.0271843
+0.0274538
+0.0278704
+0.0284398
+0.0291631
+0.0300291
+0.0310258
+0.0315134
+0.030333
+0.0292683
+0.0283332
+0.027541
+0.0269043
+0.0264221
+0.0261091
+0.0259776
+0.0260305
+0.0262667
+0.0266642
+0.0272246
+0.0267605
+0.0248279
+0.0229362
+0.0211024
+0.019343
+0.017673
+0.0159917
+0.0143471
+0.0128579
+0.0113595
+0.00994667
+0.00875922
+0.00792853
+0.00750693
+0.00754552
+0.008125
+0.00845947
+0.00735691
+0.0059315
+0.00460867
+0.00343201
+0.0026537
+0.00219898
+0.00255733
+0.00350235
+0.00387504
+0.00366589
+0.00357558
+0.00269288
+0.000666066
+-0.00107342
+-0.0012366
+-0.00222861
+-0.00207335
+-0.000501743
+0.00125255
+0.00326178
+0.00535516
+0.00725871
+0.00891509
+0.0107143
+0.012633
+0.0145891
+0.0165682
+0.0185949
+0.0205614
+0.0225361
+0.0237758
+0.0248451
+0.0260532
+0.0254509
+0.0247046
+0.0241217
+0.0237059
+0.0234837
+0.0234416
+0.0235873
+0.0239335
+0.0244717
+0.0251895
+0.0260586
+0.027063
+0.0281958
+0.0310717
+0.0303169
+0.0297048
+0.0292444
+0.0289429
+0.0288053
+0.028834
+0.0289681
+0.0292179
+0.029628
+0.0301757
+0.0308673
+0.0302276
+0.0296871
+0.029287
+0.0290457
+0.0289687
+0.029057
+0.0293093
+0.0297066
+0.0302414
+0.0309226
+0.0317406
+0.0326852
+0.032978
+0.0318511
+0.0308388
+0.0299528
+0.0292046
+0.0286049
+0.0281519
+0.0278582
+0.0277351
+0.0277846
+0.028006
+0.0283792
+0.0279704
+0.0259452
+0.0239468
+0.0219793
+0.0200582
+0.0181981
+0.016412
+0.014722
+0.0131043
+0.0114731
+0.00986094
+0.00827428
+0.00691214
+0.00592471
+0.00536585
+0.00560076
+0.00638253
+0.00746814
+0.00892749
+0.00764881
+0.0064256
+0.00531222
+0.00462927
+0.00437288
+0.00461925
+0.00541601
+0.00583773
+0.00547807
+0.00462704
+0.00245277
+0.000293451
+-0.00186009
+-0.00326151
+-0.00392917
+-0.0022106
+-0.000564383
+0.00122157
+0.00309639
+0.0048818
+0.00668143
+0.00854454
+0.0104462
+0.0124029
+0.0143999
+0.0164453
+0.0184872
+0.0205224
+0.0225157
+0.0245202
+0.0263623
+0.0266915
+0.0257955
+0.0250596
+0.0244968
+0.0241077
+0.0239086
+0.0238673
+0.0240104
+0.0243506
+0.0248798
+0.0255862
+0.0264423
+0.0274362
+0.0285638
+0.0319849
+0.0312522
+0.0306587
+0.0302129
+0.0299211
+0.0297881
+0.0298158
+0.0299918
+0.0302487
+0.0306451
+0.0311841
+0.0318538
+0.0320756
+0.0315644
+0.0311873
+0.0309609
+0.0308886
+0.0309714
+0.0312082
+0.031588
+0.0320915
+0.0327341
+0.033508
+0.0344041
+0.0345188
+0.0334438
+0.0324812
+0.0316412
+0.0309339
+0.0303684
+0.029942
+0.0296661
+0.0295505
+0.029597
+0.0298049
+0.029423
+0.0273673
+0.0252938
+0.0232393
+0.0212064
+0.0192081
+0.0172566
+0.0153614
+0.0135409
+0.0118415
+0.0100455
+0.00839336
+0.00680463
+0.00520309
+0.00396736
+0.00328011
+0.003568
+0.00453597
+0.00590745
+0.00757796
+0.00944506
+0.00812123
+0.00717033
+0.00663307
+0.00655657
+0.00675843
+0.00741652
+0.00777673
+0.00705553
+0.00490943
+0.00283244
+0.000984253
+-0.000820002
+-0.00297386
+-0.00388129
+-0.00258265
+-0.000947364
+0.00079481
+0.00259543
+0.00462968
+0.00658595
+0.00846646
+0.0104683
+0.0125245
+0.0145165
+0.0165343
+0.0185911
+0.0206649
+0.0226424
+0.0246112
+0.0266146
+0.0271243
+0.0262431
+0.0255201
+0.0249689
+0.0246012
+0.0244111
+0.0243929
+0.0245708
+0.0249406
+0.0254704
+0.0261608
+0.0269989
+0.027973
+0.0290798
+0.0330185
+0.0323091
+0.0317355
+0.0313049
+0.0310235
+0.0308952
+0.0309219
+0.0310917
+0.031366
+0.0317808
+0.0323071
+0.0329567
+0.0337194
+0.0334788
+0.0331234
+0.0329104
+0.0328423
+0.0329203
+0.0331432
+0.0335069
+0.033982
+0.0345896
+0.0353228
+0.036174
+0.0361267
+0.035101
+0.0341851
+0.033388
+0.0327185
+0.0321844
+0.0317824
+0.0315226
+0.0314138
+0.0308941
+0.0293741
+0.0279432
+0.0266159
+0.0248068
+0.0227219
+0.020638
+0.0185787
+0.0165532
+0.0145667
+0.0126322
+0.0107098
+0.00886229
+0.00699254
+0.00529718
+0.00376505
+0.00217932
+0.00124189
+0.00167644
+0.00294469
+0.00469661
+0.00665829
+0.0086986
+0.00992016
+0.00916068
+0.00872673
+0.00874373
+0.00892263
+0.00943886
+0.00973088
+0.00770805
+0.00576297
+0.00383896
+0.0017012
+-0.000289224
+-0.00217919
+-0.00343698
+-0.00165945
+2.29838e-05
+0.00156521
+0.003209
+0.0050226
+0.00699166
+0.00880928
+0.0107475
+0.0127588
+0.0147556
+0.0168008
+0.0188484
+0.0208967
+0.0229352
+0.0248808
+0.0268641
+0.0277063
+0.0268443
+0.0261379
+0.0256
+0.0252414
+0.0250562
+0.0250385
+0.0252119
+0.0255724
+0.0261124
+0.0268209
+0.0276748
+0.0286563
+0.0297486
+0.0341614
+0.0334763
+0.032923
+0.0325082
+0.0322372
+0.0321138
+0.0321244
+0.0322703
+0.0325613
+0.0329693
+0.0335157
+0.0341646
+0.0348926
+0.0354252
+0.0350896
+0.0348885
+0.0348244
+0.0348979
+0.0351082
+0.0354529
+0.0359059
+0.0364814
+0.0371773
+0.0379869
+0.0377933
+0.0368141
+0.0359418
+0.0351846
+0.0345498
+0.0340445
+0.0336647
+0.0330116
+0.0313083
+0.0296479
+0.0280604
+0.0265588
+0.0251586
+0.0238694
+0.0221859
+0.0201912
+0.0181847
+0.0161179
+0.0140518
+0.0119338
+0.00983169
+0.00777846
+0.00582624
+0.00398824
+0.00220583
+0.000711818
+-0.000698392
+-4.59561e-05
+0.00191407
+0.00392152
+0.00599843
+0.00806545
+0.0101434
+0.0111673
+0.010807
+0.0108543
+0.0110972
+0.011509
+0.0106455
+0.00851754
+0.00643175
+0.00444531
+0.00249398
+0.000711799
+-0.000677986
+-0.00191954
+-0.000493722
+0.00120605
+0.00300574
+0.004594
+0.00608587
+0.00783204
+0.00958529
+0.011434
+0.0133532
+0.0152725
+0.0172565
+0.0192853
+0.0213369
+0.0233712
+0.0253376
+0.0272878
+0.0284387
+0.0275996
+0.026913
+0.026391
+0.0260433
+0.0258556
+0.0258384
+0.0260065
+0.0263561
+0.0268804
+0.0275692
+0.0284106
+0.0293717
+0.0304563
+0.0354022
+0.0347416
+0.0342088
+0.0338097
+0.0335406
+0.0333942
+0.0333911
+0.0335315
+0.0338135
+0.0342129
+0.0347398
+0.0353947
+0.0361606
+0.0369749
+0.0370809
+0.0368907
+0.03683
+0.0368995
+0.0370985
+0.0374249
+0.0378571
+0.0384034
+0.0390651
+0.0398364
+0.039511
+0.0385755
+0.037744
+0.0370236
+0.0364209
+0.0355149
+0.0336962
+0.0319229
+0.030199
+0.0285157
+0.0268614
+0.0252888
+0.023814
+0.0224487
+0.0212019
+0.0194776
+0.0175409
+0.015651
+0.0136857
+0.0115067
+0.00933309
+0.00716993
+0.00502761
+0.00290809
+0.000973532
+-0.000879955
+-0.00226305
+-0.000831394
+0.00124819
+0.00336192
+0.00550033
+0.00765068
+0.00981836
+0.0119941
+0.0129233
+0.0129662
+0.013271
+0.0131458
+0.0111457
+0.00922036
+0.00722
+0.00529289
+0.00357985
+0.00211506
+0.000715675
+0.000188177
+0.00110004
+0.00258945
+0.00420944
+0.00592092
+0.00762633
+0.00909639
+0.0107302
+0.0124096
+0.0142222
+0.0160738
+0.0179696
+0.0199259
+0.0219267
+0.0239606
+0.0259585
+0.0278777
+0.029303
+0.0284893
+0.0278247
+0.0273201
+0.0269844
+0.0267952
+0.0267786
+0.0269408
+0.0272785
+0.0277853
+0.0284522
+0.0292683
+0.0302215
+0.0312713
+0.0366972
+0.0360603
+0.0355473
+0.0351634
+0.0348935
+0.0347528
+0.0347499
+0.0348848
+0.0351559
+0.0355477
+0.0360551
+0.0366865
+0.0374356
+0.0382956
+0.0390935
+0.0389132
+0.0388557
+0.0389216
+0.0391103
+0.03942
+0.0398333
+0.0403529
+0.0409831
+0.041719
+0.0412736
+0.0403789
+0.0395853
+0.038471
+0.036537
+0.0346336
+0.0327661
+0.030941
+0.0291663
+0.0274478
+0.0257883
+0.0241509
+0.022602
+0.0211587
+0.0198418
+0.0185516
+0.0168653
+0.0148891
+0.0129801
+0.0111621
+0.00911363
+0.00709975
+0.00492013
+0.00275233
+0.000592668
+-0.00154602
+-0.00242925
+-0.000991071
+0.00109483
+0.00318879
+0.00527827
+0.00742084
+0.0095852
+0.011754
+0.0139249
+0.0151006
+0.0154096
+0.0136583
+0.0117972
+0.00988338
+0.00806328
+0.00638602
+0.00486362
+0.0035694
+0.00250044
+0.00228733
+0.00289316
+0.00417935
+0.00567951
+0.00726195
+0.00892741
+0.0105918
+0.0120774
+0.0133584
+0.0148148
+0.0164206
+0.0181121
+0.0197397
+0.0214445
+0.0232309
+0.0250737
+0.0269671
+0.0288961
+0.0295131
+0.0288721
+0.0283861
+0.0280631
+0.0278756
+0.0278597
+0.0280156
+0.0283405
+0.0288287
+0.029472
+0.0302606
+0.0311812
+0.0321985
+0.0380692
+0.0374557
+0.036962
+0.036593
+0.0363283
+0.0361931
+0.0361903
+0.0363199
+0.0365804
+0.0369642
+0.0374525
+0.0380607
+0.0387833
+0.039614
+0.0405462
+0.040953
+0.0408983
+0.0409609
+0.0411403
+0.0414348
+0.0418309
+0.0423259
+0.0429272
+0.0436303
+0.0430755
+0.0417937
+0.0397801
+0.0377861
+0.0358152
+0.0338712
+0.0319592
+0.0300852
+0.0282568
+0.0264809
+0.0247657
+0.0231273
+0.0215295
+0.0200259
+0.0186291
+0.017313
+0.0158982
+0.0142346
+0.0123566
+0.0104643
+0.00865504
+0.00670778
+0.00481931
+0.00309063
+0.00140589
+-7.32761e-06
+-0.000478169
+0.000423633
+0.00186429
+0.00357121
+0.00554213
+0.0076332
+0.00976366
+0.0119008
+0.014049
+0.0160871
+0.0142169
+0.012439
+0.0106288
+0.00898016
+0.00761012
+0.0066212
+0.00602863
+0.00517278
+0.00439965
+0.00434453
+0.0048695
+0.00589078
+0.00726978
+0.00802182
+0.00837452
+0.00918135
+0.0103785
+0.011799
+0.0134211
+0.0150507
+0.0166595
+0.0183889
+0.0202039
+0.0220801
+0.0240014
+0.0259555
+0.0279447
+0.029962
+0.0300341
+0.0295672
+0.0292566
+0.0290804
+0.0290652
+0.0292146
+0.0295263
+0.0299952
+0.030614
+0.0313576
+0.0322327
+0.0332293
+0.0395151
+0.0389243
+0.0384495
+0.0380911
+0.0378355
+0.0377058
+0.0377031
+0.0378274
+0.0380776
+0.0384512
+0.038923
+0.0395086
+0.0402052
+0.0410071
+0.0419083
+0.0429025
+0.0429556
+0.0430152
+0.043186
+0.0434667
+0.0438469
+0.0443194
+0.044894
+0.0454012
+0.0433353
+0.0412806
+0.0392407
+0.0372178
+0.0352151
+0.033236
+0.0312852
+0.0293683
+0.0274922
+0.0256634
+0.0238896
+0.0221867
+0.0205629
+0.019017
+0.0175424
+0.0161675
+0.0147497
+0.0132713
+0.0116026
+0.00989106
+0.00816199
+0.0064182
+0.0047829
+0.0034334
+0.00253593
+0.00171799
+0.00142337
+0.00198903
+0.00312584
+0.0047172
+0.00647518
+0.00833538
+0.0103261
+0.0123841
+0.0144627
+0.0151324
+0.0131336
+0.0111988
+0.00937733
+0.00760807
+0.00592903
+0.0046509
+0.00388165
+0.00386502
+0.00458897
+0.0053591
+0.00513959
+0.00553578
+0.00614331
+0.00604644
+0.00647505
+0.00748938
+0.00883649
+0.0104684
+0.0119667
+0.0135874
+0.0153503
+0.0171999
+0.0191085
+0.0210609
+0.0230561
+0.0250839
+0.0271332
+0.0291948
+0.0312739
+0.0308581
+0.0305343
+0.0303621
+0.0303475
+0.0304907
+0.0307895
+0.0312394
+0.031834
+0.0325497
+0.0333936
+0.0343566
+0.041027
+0.0404584
+0.0400017
+0.0396524
+0.039407
+0.0392824
+0.0392798
+0.0393992
+0.0396395
+0.0399985
+0.0404587
+0.0410224
+0.0416937
+0.0424675
+0.0433384
+0.0443005
+0.0450254
+0.0450823
+0.0452453
+0.0455133
+0.045879
+0.0463308
+0.0468807
+0.0450154
+0.0429339
+0.0408638
+0.0388069
+0.0367655
+0.0347423
+0.0327354
+0.0307529
+0.0288005
+0.0268849
+0.0250117
+0.0231881
+0.0214294
+0.0197435
+0.0181539
+0.0166303
+0.0152236
+0.0138325
+0.012193
+0.0106697
+0.0091843
+0.00761132
+0.00621733
+0.00494852
+0.00402674
+0.00353273
+0.00306792
+0.0029193
+0.00331603
+0.00412663
+0.00559983
+0.00732961
+0.00920415
+0.0111551
+0.0131709
+0.0151559
+0.0143925
+0.0122981
+0.0102442
+0.00824017
+0.00632628
+0.00454272
+0.00290416
+0.00175697
+0.00172317
+0.00283508
+0.00331916
+0.00298947
+0.00348311
+0.00434731
+0.00418784
+0.00477146
+0.00601217
+0.0074797
+0.00889245
+0.0105283
+0.0123262
+0.0142196
+0.0161687
+0.0181728
+0.0202157
+0.0222714
+0.0243504
+0.0264475
+0.0285586
+0.030676
+0.0322213
+0.0319082
+0.0317434
+0.0317295
+0.0318664
+0.0321524
+0.0325835
+0.0331541
+0.0338419
+0.0346543
+0.0355832
+0.042598
+0.0420506
+0.0416115
+0.0412709
+0.0410352
+0.0409156
+0.0409131
+0.0410277
+0.0412585
+0.0416036
+0.0420526
+0.0425952
+0.0432421
+0.0439887
+0.04483
+0.0457608
+0.0467757
+0.0471606
+0.0473164
+0.0475728
+0.047925
+0.0483577
+0.0468376
+0.0447336
+0.0426384
+0.0405532
+0.0384797
+0.03642
+0.0343764
+0.0323522
+0.030351
+0.0283779
+0.026439
+0.0245388
+0.0226773
+0.0208756
+0.019141
+0.0174968
+0.0159228
+0.0144851
+0.0131005
+0.0114367
+0.00979706
+0.00836629
+0.00704914
+0.00579675
+0.00479496
+0.00432067
+0.00412244
+0.00376763
+0.00386789
+0.00435805
+0.00533368
+0.00658794
+0.00813192
+0.0098954
+0.0117942
+0.0134955
+0.0151627
+0.0139167
+0.0117702
+0.00962555
+0.00747984
+0.00537058
+0.00335009
+0.00149183
+-0.00010154
+-0.000259926
+0.00112661
+0.00148358
+0.000823701
+0.00169171
+0.00283394
+0.00258092
+0.00343784
+0.00451224
+0.00583038
+0.00747813
+0.0093405
+0.0112819
+0.0133008
+0.0153519
+0.0174303
+0.0195332
+0.0216491
+0.0237722
+0.0259067
+0.0280498
+0.0301997
+0.0323551
+0.0333694
+0.0332119
+0.0331986
+0.0333295
+0.033603
+0.0340158
+0.0345627
+0.035223
+0.0360042
+0.0368992
+0.0442217
+0.0436947
+0.0432722
+0.0429403
+0.0427138
+0.0425989
+0.0425965
+0.0427066
+0.0429284
+0.0432601
+0.043698
+0.0442205
+0.044844
+0.0455643
+0.0463771
+0.0472774
+0.0482605
+0.0492474
+0.0493967
+0.0496423
+0.0499828
+0.0487855
+0.0466699
+0.0445579
+0.042454
+0.0403593
+0.0382753
+0.036204
+0.0341475
+0.0321088
+0.0300915
+0.0281001
+0.0261406
+0.0242208
+0.0223509
+0.0205417
+0.0187762
+0.0170971
+0.0154826
+0.0139997
+0.012657
+0.010996
+0.00933085
+0.0078554
+0.0065919
+0.00549716
+0.00478651
+0.00437564
+0.0043824
+0.00445134
+0.00431596
+0.00487382
+0.00609518
+0.00718136
+0.00849538
+0.00986582
+0.0113315
+0.0129729
+0.0146846
+0.0136501
+0.0114644
+0.00928015
+0.00709987
+0.00492506
+0.00275085
+0.000582366
+-0.0014866
+-0.0016739
+-0.000335468
+8.31049e-07
+-0.00135287
+4.13441e-05
+0.00166187
+0.00174585
+0.0019149
+0.00280417
+0.0044918
+0.00641321
+0.00844557
+0.0105198
+0.0126294
+0.0147499
+0.0168879
+0.0190379
+0.0211963
+0.0233606
+0.0255295
+0.0277018
+0.0298768
+0.0320539
+0.0342328
+0.0347565
+0.0347437
+0.0348689
+0.0351304
+0.0355254
+0.0360494
+0.036683
+0.0374338
+0.0382953
+0.0458926
+0.045385
+0.0449782
+0.0446547
+0.0444369
+0.0443265
+0.0443242
+0.04443
+0.0446433
+0.0449623
+0.045385
+0.045893
+0.046494
+0.0471891
+0.0479744
+0.0488453
+0.0497974
+0.0508262
+0.0514817
+0.0517174
+0.0508459
+0.0487231
+0.0466046
+0.0444895
+0.0423822
+0.0402838
+0.0381957
+0.0361197
+0.0340582
+0.0320138
+0.0299901
+0.0279915
+0.0260239
+0.0240948
+0.0222142
+0.0203948
+0.018635
+0.016973
+0.0153454
+0.0138479
+0.0124887
+0.0109025
+0.00930309
+0.00782241
+0.00662015
+0.00557623
+0.00488031
+0.00452295
+0.00463863
+0.00487761
+0.00487723
+0.00542724
+0.00630202
+0.00711991
+0.00824705
+0.00964892
+0.0111436
+0.0127666
+0.0144758
+0.0136393
+0.0114566
+0.0092776
+0.0071058
+0.00495057
+0.00284273
+0.000878394
+-0.000519542
+-0.00125263
+-7.07398e-05
+-0.000896899
+-0.0020925
+-0.000880203
+0.00110973
+0.00096225
+0.000398039
+0.00163944
+0.0036621
+0.00575926
+0.00790057
+0.0100632
+0.0122357
+0.0144138
+0.0165952
+0.0187788
+0.0209638
+0.0231499
+0.0253368
+0.0275243
+0.0297123
+0.0319006
+0.0340893
+0.0362782
+0.0363553
+0.0364749
+0.036725
+0.0371031
+0.0376051
+0.0382129
+0.0389342
+0.0397632
+0.0476057
+0.0471165
+0.0467206
+0.0464092
+0.0461997
+0.0460935
+0.0460913
+0.0461931
+0.0463982
+0.0467053
+0.0471124
+0.0476074
+0.0481871
+0.0488582
+0.049617
+0.0504595
+0.0513818
+0.0523794
+0.0534483
+0.0529337
+0.0508514
+0.0487591
+0.0466422
+0.044529
+0.0424236
+0.0403273
+0.0382416
+0.0361683
+0.0341097
+0.0320685
+0.0300485
+0.0280541
+0.0260912
+0.0241675
+0.022293
+0.0204806
+0.0187289
+0.0170784
+0.0154921
+0.0140093
+0.0126507
+0.0112173
+0.00970598
+0.00831942
+0.00722325
+0.00632404
+0.00559159
+0.00527817
+0.0053574
+0.00568703
+0.00565158
+0.00597604
+0.00666837
+0.00745234
+0.00856164
+0.00989218
+0.011332
+0.0129012
+0.0145546
+0.0139683
+0.0118463
+0.00975474
+0.00771838
+0.00573319
+0.00396197
+0.00250618
+0.00127916
+0.000820456
+0.00169508
+0.000376127
+-6.06508e-06
+0.000330282
+0.00188401
+0.00126997
+0.000470836
+0.00159218
+0.00363779
+0.0057416
+0.0078877
+0.0100531
+0.0122274
+0.0144068
+0.0165891
+0.0187733
+0.020959
+0.0231455
+0.0253328
+0.0275206
+0.0297089
+0.0318975
+0.0340863
+0.0362754
+0.0380248
+0.0381392
+0.0383785
+0.0387404
+0.0392215
+0.0398046
+0.0404975
+0.0412952
+0.0493565
+0.0488849
+0.0484994
+0.0481995
+0.0479978
+0.0478956
+0.0478934
+0.0479914
+0.0481889
+0.0484846
+0.0488768
+0.0493596
+0.0499189
+0.050567
+0.0513005
+0.0521159
+0.0530093
+0.0539769
+0.0550148
+0.0530049
+0.0509254
+0.0488557
+0.0467825
+0.0446759
+0.0425778
+0.0404894
+0.0384125
+0.036349
+0.0343012
+0.0322722
+0.0302658
+0.0282867
+0.0263411
+0.0244345
+0.022575
+0.0207801
+0.0190682
+0.017455
+0.0159097
+0.0144698
+0.0131566
+0.0118653
+0.0104535
+0.00924812
+0.00826697
+0.00744275
+0.00676541
+0.00655792
+0.00660151
+0.00694471
+0.00685748
+0.0069579
+0.00751894
+0.00818686
+0.00919602
+0.0104742
+0.0118936
+0.0133334
+0.0149258
+0.0146216
+0.0126016
+0.0106227
+0.0087453
+0.00705104
+0.00556166
+0.0041599
+0.00324495
+0.00292104
+0.00333841
+0.00245005
+0.00215367
+0.00223328
+0.00328923
+0.0030021
+0.00251355
+0.00307296
+0.0045651
+0.00641624
+0.00842439
+0.0105051
+0.0126058
+0.0147292
+0.0168699
+0.0190219
+0.0211819
+0.0233476
+0.0255176
+0.0276908
+0.0298666
+0.0320444
+0.0342238
+0.0364046
+0.0385866
+0.0398544
+0.0400835
+0.0404301
+0.0408913
+0.0414509
+0.0421168
+0.0428844
+0.0511413
+0.0506862
+0.0503106
+0.0500216
+0.0498273
+0.0497288
+0.0497268
+0.0498211
+0.0500114
+0.0502964
+0.0506746
+0.0511439
+0.0516856
+0.0523118
+0.0530212
+0.0538105
+0.0546762
+0.0556148
+0.0552483
+0.0531663
+0.0510934
+0.0490307
+0.0469797
+0.0448902
+0.0428048
+0.0407306
+0.0386692
+0.0366228
+0.0345941
+0.0325864
+0.0306038
+0.0286515
+0.0267362
+0.0248575
+0.0230322
+0.0212759
+0.0196064
+0.0180366
+0.0166077
+0.015213
+0.0139276
+0.0128211
+0.0115529
+0.0104975
+0.00963872
+0.00883343
+0.00825708
+0.0081121
+0.00816119
+0.00852645
+0.00825727
+0.00831626
+0.00870327
+0.00929559
+0.0102065
+0.0114097
+0.01274
+0.0140788
+0.0155716
+0.0155179
+0.0136106
+0.011802
+0.0101453
+0.00863389
+0.00719323
+0.0060512
+0.00529859
+0.00506923
+0.00525743
+0.00456093
+0.00426591
+0.00431626
+0.005028
+0.0050046
+0.00465218
+0.00500408
+0.00613692
+0.00762485
+0.00938627
+0.0112913
+0.0132845
+0.0153317
+0.0174139
+0.0195148
+0.0216256
+0.0237509
+0.025887
+0.0280317
+0.0301829
+0.0323394
+0.0345002
+0.0366646
+0.0388319
+0.0410017
+0.0418317
+0.042164
+0.0426064
+0.0431458
+0.0437859
+0.0445247
+0.0529566
+0.0525172
+0.052151
+0.0518722
+0.0516849
+0.05159
+0.051588
+0.051679
+0.0518624
+0.0521373
+0.0525022
+0.0529554
+0.0534836
+0.054089
+0.0547754
+0.0555398
+0.056379
+0.0572897
+0.0554877
+0.0534168
+0.0513543
+0.0493026
+0.0472633
+0.0452075
+0.0431375
+0.0410801
+0.0390371
+0.0370111
+0.0350049
+0.0330222
+0.0310674
+0.0291462
+0.0272656
+0.0254348
+0.0236651
+0.0219606
+0.0203364
+0.0188273
+0.0174632
+0.016177
+0.0149741
+0.0139487
+0.0128752
+0.0119391
+0.0111845
+0.0104554
+0.00996389
+0.00984103
+0.00993916
+0.010232
+0.00988062
+0.00993178
+0.010184
+0.010707
+0.0115153
+0.0126005
+0.013835
+0.01506
+0.0164697
+0.0166388
+0.0148759
+0.0132413
+0.0117189
+0.0102459
+0.00897796
+0.00807519
+0.00742842
+0.00724093
+0.00729475
+0.00668023
+0.00638863
+0.00645392
+0.00696378
+0.00710448
+0.00681792
+0.0070878
+0.00792829
+0.00919738
+0.0107031
+0.0124144
+0.0142552
+0.0161801
+0.0181653
+0.020193
+0.0222516
+0.0243333
+0.0264327
+0.0285371
+0.0306528
+0.0327785
+0.0349121
+0.0370524
+0.0391983
+0.0413489
+0.0435035
+0.0439371
+0.0443618
+0.0448835
+0.0452132
+0.0456365
+0.0547992
+0.0543736
+0.0540175
+0.0537484
+0.0535677
+0.0534761
+0.0534742
+0.0535619
+0.0537389
+0.0540043
+0.0543567
+0.0547945
+0.05531
+0.0558956
+0.0565601
+0.0573006
+0.0581144
+0.057865
+0.0557976
+0.0537401
+0.0516935
+0.0496574
+0.0476301
+0.0456178
+0.0435779
+0.0415423
+0.0395233
+0.0375235
+0.0355462
+0.0335955
+0.0316761
+0.0297941
+0.0279572
+0.0261747
+0.0244587
+0.0228136
+0.0212546
+0.0198156
+0.0185244
+0.0173248
+0.0161992
+0.0152564
+0.0144109
+0.0135651
+0.0128649
+0.0122281
+0.0118239
+0.0117188
+0.0118177
+0.0119518
+0.011654
+0.0116784
+0.0118524
+0.0123047
+0.0130505
+0.0140259
+0.0151525
+0.0162786
+0.0175909
+0.0179581
+0.0163381
+0.0148092
+0.0133177
+0.0119846
+0.0108992
+0.0101319
+0.00958417
+0.00942141
+0.00933177
+0.00883102
+0.00853693
+0.00861823
+0.0090064
+0.00924259
+0.00899573
+0.00922122
+0.0098819
+0.0109486
+0.0122722
+0.0137902
+0.0154703
+0.0172653
+0.0191392
+0.0210734
+0.0230536
+0.0250688
+0.0271112
+0.0291752
+0.0312564
+0.0333516
+0.0354548
+0.0375642
+0.0396825
+0.0418082
+0.0439402
+0.0452693
+0.0453963
+0.0456226
+0.0459377
+0.0463543
+0.0566667
+0.0562517
+0.0559076
+0.0556477
+0.0554731
+0.0553846
+0.0553828
+0.0554675
+0.0556385
+0.0558948
+0.0562354
+0.0566587
+0.0571619
+0.0577288
+0.0583724
+0.0590903
+0.0598797
+0.0582446
+0.0561912
+0.0541486
+0.052118
+0.0500992
+0.0480905
+0.0460984
+0.0441228
+0.0421136
+0.0401233
+0.038155
+0.0362122
+0.0342993
+0.0324216
+0.0305856
+0.0287992
+0.0270722
+0.0254169
+0.0238379
+0.0223506
+0.0209868
+0.0197416
+0.0186038
+0.0176111
+0.0167495
+0.0160606
+0.015302
+0.0146681
+0.0141128
+0.0137814
+0.0136739
+0.0137437
+0.0138048
+0.0135501
+0.0135174
+0.0136347
+0.0140476
+0.0147173
+0.0155892
+0.0166452
+0.0176856
+0.0189005
+0.0194353
+0.0179023
+0.0163994
+0.0150284
+0.0138354
+0.0129066
+0.0122126
+0.0117434
+0.0116057
+0.0114132
+0.0109828
+0.0107024
+0.0107844
+0.0111056
+0.0113843
+0.0111786
+0.0113764
+0.0119182
+0.0128165
+0.0140029
+0.0153564
+0.0168814
+0.0185402
+0.0203001
+0.0221364
+0.0240291
+0.0259687
+0.0279455
+0.029952
+0.0319827
+0.0340333
+0.0361003
+0.0381811
+0.0402736
+0.0423758
+0.0444807
+0.0460971
+0.0462219
+0.0464441
+0.0467537
+0.0471631
+0.0585566
+0.0581517
+0.0578189
+0.0575676
+0.0573988
+0.0573133
+0.0573116
+0.0573935
+0.0575587
+0.0578065
+0.0581359
+0.0585454
+0.0590335
+0.0595861
+0.0602099
+0.0609061
+0.060751
+0.0587036
+0.0566668
+0.054642
+0.0526305
+0.0506321
+0.0486454
+0.0466769
+0.0447292
+0.0427895
+0.0408321
+0.0388997
+0.0369961
+0.0351259
+0.0332948
+0.0315097
+0.0297788
+0.0281121
+0.0265169
+0.024997
+0.0235828
+0.0222946
+0.0211009
+0.0200401
+0.0191499
+0.0183661
+0.017756
+0.0171433
+0.0165649
+0.0160749
+0.0157997
+0.0156902
+0.0157185
+0.0157289
+0.0155136
+0.0154149
+0.0155179
+0.0159017
+0.0164964
+0.0172788
+0.0182596
+0.0192286
+0.0203392
+0.0209968
+0.0194864
+0.0180907
+0.0168297
+0.0157735
+0.0149655
+0.0143195
+0.0139081
+0.0137921
+0.0135291
+0.013133
+0.0128765
+0.0129447
+0.0132068
+0.0135324
+0.013364
+0.013541
+0.0140012
+0.0147734
+0.0158136
+0.0170607
+0.0184453
+0.0199747
+0.0216181
+0.0233516
+0.0251566
+0.0270167
+0.0289219
+0.030865
+0.0328393
+0.0348395
+0.0368613
+0.0389015
+0.0409571
+0.0430262
+0.0451067
+0.0470126
+0.0471349
+0.0473528
+0.0476565
+0.0480582
+0.0604668
+0.0600715
+0.0597493
+0.0595062
+0.0593429
+0.0592603
+0.0592586
+0.0593378
+0.0594976
+0.0597374
+0.0600562
+0.0604527
+0.0609255
+0.0614654
+0.0620703
+0.0627459
+0.0612696
+0.05924
+0.0572224
+0.0552179
+0.0532282
+0.0512531
+0.0492915
+0.0473499
+0.045431
+0.0435377
+0.0416443
+0.0397514
+0.0378905
+0.0360668
+0.034286
+0.0325553
+0.0308831
+0.0292684
+0.0277262
+0.0262763
+0.0249347
+0.0237141
+0.0225685
+0.0215804
+0.020736
+0.0200709
+0.0195278
+0.0190412
+0.0185267
+0.0180767
+0.0178458
+0.0177378
+0.0177441
+0.0177005
+0.0175095
+0.0173814
+0.0174728
+0.0178323
+0.0183624
+0.0190706
+0.0199725
+0.0208588
+0.0218817
+0.0225763
+0.0211634
+0.0198559
+0.0187143
+0.0177704
+0.0170466
+0.0164483
+0.0160799
+0.0159796
+0.0156657
+0.0152745
+0.0150553
+0.0151137
+0.01533
+0.0156922
+0.0155509
+0.0157075
+0.0161128
+0.0167882
+0.0177105
+0.0188435
+0.0201265
+0.0215368
+0.0230693
+0.0247011
+0.026414
+0.0281931
+0.0300267
+0.0319026
+0.0338164
+0.035762
+0.0377344
+0.0397297
+0.0417446
+0.0437764
+0.0458229
+0.0478821
+0.0481303
+0.0483438
+0.0486413
+0.049035
+0.0623954
+0.0620092
+0.0616972
+0.0614617
+0.0613037
+0.0612237
+0.061222
+0.0612987
+0.0614534
+0.0616856
+0.0619944
+0.0623786
+0.0628369
+0.0633647
+0.0639517
+0.0638828
+0.0618614
+0.0598519
+0.0578556
+0.0558739
+0.0539084
+0.0519592
+0.0500252
+0.0481132
+0.046226
+0.0443652
+0.0425342
+0.0407032
+0.038888
+0.0371133
+0.0353852
+0.0337103
+0.032083
+0.0305258
+0.0290505
+0.02767
+0.0263957
+0.025222
+0.0241439
+0.0232078
+0.0224241
+0.0218301
+0.0213685
+0.0209848
+0.0204926
+0.0200813
+0.0198813
+0.0197762
+0.0198049
+0.0197185
+0.0195193
+0.0193817
+0.0194637
+0.0197894
+0.0202813
+0.0209384
+0.0217619
+0.0225781
+0.0235273
+0.0242425
+0.0229013
+0.0216988
+0.0206593
+0.0198084
+0.0191337
+0.0185915
+0.0182562
+0.0181679
+0.0178124
+0.0174282
+0.0172372
+0.0172882
+0.0174698
+0.0178596
+0.0177387
+0.0178764
+0.0182431
+0.0188422
+0.0196684
+0.0206945
+0.0218924
+0.0232008
+0.02463
+0.0261647
+0.0277875
+0.0294838
+0.0312417
+0.0330514
+0.0349038
+0.0367919
+0.0387119
+0.0406593
+0.0426303
+0.0446218
+0.0466311
+0.0486562
+0.0492033
+0.0494121
+0.0497032
+0.0500885
+0.0643389
+0.0639633
+0.0636608
+0.0634327
+0.0632796
+0.0632021
+0.0632004
+0.0632747
+0.0634246
+0.0636496
+0.0639489
+0.0643214
+0.064766
+0.065281
+0.0658521
+0.064525
+0.0625244
+0.060537
+0.058564
+0.0566071
+0.0546679
+0.0527468
+0.0508428
+0.0489609
+0.0471048
+0.0452786
+0.043486
+0.0417315
+0.0399807
+0.0382486
+0.0365607
+0.0349287
+0.0333607
+0.0318663
+0.0304562
+0.0291428
+0.0279177
+0.0268037
+0.0258002
+0.0249213
+0.0241929
+0.0236434
+0.0232516
+0.0229555
+0.0224981
+0.0221177
+0.0219362
+0.0218308
+0.0218845
+0.0217698
+0.02154
+0.0214128
+0.021487
+0.0217825
+0.0222499
+0.022855
+0.0236191
+0.0243731
+0.0252558
+0.0259592
+0.0247114
+0.0236013
+0.0226492
+0.0218758
+0.0212344
+0.0207439
+0.0204355
+0.0203567
+0.0199567
+0.0195901
+0.019421
+0.0194663
+0.0196209
+0.0199896
+0.0199272
+0.0200498
+0.0203862
+0.020924
+0.021671
+0.0226064
+0.0237078
+0.0249464
+0.0262807
+0.0277242
+0.0292607
+0.0308762
+0.032559
+0.0342992
+0.0360885
+0.03792
+0.0397861
+0.0416833
+0.0436081
+0.0455568
+0.0475267
+0.0495151
+0.0503462
+0.0505527
+0.0508373
+0.0512141
+0.0662967
+0.0659322
+0.0656389
+0.0654176
+0.0652691
+0.065194
+0.0651924
+0.0652644
+0.0654098
+0.065628
+0.0659183
+0.0662797
+0.0667112
+0.0672114
+0.0672259
+0.0652345
+0.0632564
+0.0612927
+0.0593449
+0.0574146
+0.0555036
+0.0536103
+0.0517354
+0.0498863
+0.048066
+0.0462777
+0.0445254
+0.0428135
+0.04112
+0.0394333
+0.0377983
+0.036222
+0.0347126
+0.0332789
+0.0319313
+0.0306651
+0.0294922
+0.02844
+0.0275184
+0.0267047
+0.026026
+0.0255052
+0.0251392
+0.0249263
+0.0245352
+0.024181
+0.0240152
+0.0238987
+0.0239449
+0.0238447
+0.0235911
+0.0234726
+0.0235403
+0.0238103
+0.0242566
+0.0248097
+0.0255251
+0.0262284
+0.0270514
+0.0277428
+0.0265788
+0.0255499
+0.0246732
+0.0239652
+0.0233494
+0.0228986
+0.0226171
+0.0225362
+0.022104
+0.0217577
+0.0216062
+0.0216465
+0.0217798
+0.0221142
+0.0221161
+0.0222267
+0.0225384
+0.0230261
+0.0237069
+0.0245649
+0.0255821
+0.0267406
+0.0280057
+0.0293645
+0.0308193
+0.0323571
+0.0339666
+0.0356381
+0.0373634
+0.0391353
+0.0409477
+0.0427951
+0.044672
+0.0465763
+0.0485047
+0.0504546
+0.0515517
+0.0517561
+0.052039
+0.0524072
+0.0682686
+0.0679147
+0.06763
+0.0674153
+0.0672712
+0.0671983
+0.0671968
+0.0672667
+0.0674077
+0.0676194
+0.0679012
+0.0682522
+0.0686713
+0.0691573
+0.0679778
+0.0660092
+0.064055
+0.0621165
+0.0601953
+0.0582932
+0.0564111
+0.0545448
+0.0527032
+0.0508893
+0.0491061
+0.0473572
+0.0456463
+0.0439781
+0.0423376
+0.0407013
+0.0391194
+0.0375985
+0.0361465
+0.0347719
+0.0334738
+0.0322543
+0.0311413
+0.0301467
+0.0292799
+0.0285261
+0.0278959
+0.0274127
+0.0270725
+0.0269069
+0.0265966
+0.026265
+0.026096
+0.0259843
+0.0260265
+0.0259295
+0.0256652
+0.0255541
+0.0256164
+0.0258647
+0.0262927
+0.026801
+0.027462
+0.0281192
+0.0288716
+0.0295811
+0.0284923
+0.027535
+0.0267235
+0.026055
+0.0254771
+0.0250572
+0.0248003
+0.0246708
+0.024253
+0.0239296
+0.0237925
+0.0238233
+0.0239446
+0.0242506
+0.0243053
+0.024406
+0.024697
+0.0251432
+0.0257682
+0.0265596
+0.0275032
+0.0285839
+0.0297868
+0.0310727
+0.032451
+0.0339149
+0.0354538
+0.0370583
+0.0387203
+0.0404328
+0.0421895
+0.0439851
+0.0458152
+0.0476746
+0.0495603
+0.0514702
+0.0528206
+0.0530201
+0.0533037
+0.0536632
+0.0702535
+0.0699097
+0.0696331
+0.0694245
+0.0692847
+0.0692139
+0.0692124
+0.0692803
+0.0694172
+0.0696228
+0.0698965
+0.0702375
+0.0706449
+0.0707504
+0.0687914
+0.0668467
+0.0649176
+0.0630057
+0.0611125
+0.0592399
+0.0573839
+0.0555501
+0.0537429
+0.0519653
+0.0502204
+0.0485116
+0.0468429
+0.0452189
+0.0436211
+0.0420346
+0.0405046
+0.0390376
+0.0376409
+0.0363228
+0.0350726
+0.0339106
+0.0328538
+0.0319126
+0.0310921
+0.0303833
+0.029802
+0.0293588
+0.0290423
+0.028888
+0.0286734
+0.028365
+0.0281892
+0.0280858
+0.0281248
+0.0280111
+0.0277573
+0.0276525
+0.0277101
+0.0279398
+0.0283375
+0.0288212
+0.0294148
+0.0300457
+0.0306934
+0.031427
+0.0304431
+0.0295492
+0.0287944
+0.0281547
+0.0276148
+0.027221
+0.0269846
+0.0268099
+0.0264013
+0.0261046
+0.0259795
+0.0260025
+0.0261136
+0.0263958
+0.0264948
+0.0265871
+0.0268579
+0.0272712
+0.0278484
+0.0285824
+0.0294612
+0.0304726
+0.0316036
+0.0328382
+0.0341453
+0.0355395
+0.0370109
+0.0385507
+0.040151
+0.0418048
+0.0435062
+0.0452496
+0.0470305
+0.0488447
+0.0506887
+0.0525576
+0.0541484
+0.054343
+0.0546248
+0.0549779
+0.0722503
+0.071916
+0.0716472
+0.0714445
+0.0713086
+0.0712399
+0.0712384
+0.0713043
+0.0714374
+0.0716372
+0.0719032
+0.0722348
+0.0726309
+0.0715995
+0.0696643
+0.0677447
+0.065842
+0.0639577
+0.0620935
+0.0602486
+0.0584225
+0.0566223
+0.0548505
+0.05311
+0.0514039
+0.0497358
+0.0481096
+0.0465297
+0.0449724
+0.0434354
+0.0419564
+0.040542
+0.0391989
+0.0379346
+0.0367325
+0.0356247
+0.0346203
+0.0337263
+0.0329503
+0.0322823
+0.0317368
+0.0313301
+0.0310418
+0.0308975
+0.0307601
+0.0304728
+0.0302962
+0.0302
+0.0302361
+0.0300996
+0.0298635
+0.0297643
+0.0298177
+0.0300313
+0.0304017
+0.0308503
+0.0313989
+0.031993
+0.0325606
+0.0332631
+0.0324247
+0.0315868
+0.0308819
+0.0302625
+0.0297601
+0.0293888
+0.02917
+0.0289522
+0.0285561
+0.028282
+0.028167
+0.0281834
+0.028286
+0.0285479
+0.0286845
+0.0287698
+0.0290207
+0.029407
+0.0299431
+0.0306269
+0.0314487
+0.032398
+0.0334641
+0.034636
+0.0358935
+0.0372222
+0.0386295
+0.0401072
+0.0416478
+0.0432444
+0.0448912
+0.0465829
+0.0483146
+0.0500823
+0.0518823
+0.0537114
+0.0555309
+0.0557207
+0.0559956
+0.0563464
+0.0742581
+0.0739328
+0.0736714
+0.0734743
+0.0733421
+0.0732753
+0.0732739
+0.0733379
+0.0734673
+0.0736616
+0.0739204
+0.0742429
+0.0744306
+0.0725048
+0.0705944
+0.0687008
+0.0668253
+0.0649696
+0.0631348
+0.0613169
+0.0595236
+0.0577577
+0.0560218
+0.0543188
+0.0526519
+0.0510247
+0.0494409
+0.047905
+0.0463879
+0.0448993
+0.0434702
+0.0421066
+0.0408151
+0.0395953
+0.0384452
+0.0373882
+0.0364324
+0.0355819
+0.0348472
+0.0342163
+0.033702
+0.0333242
+0.0330645
+0.032929
+0.0328575
+0.0325888
+0.0324143
+0.0323244
+0.032358
+0.0322016
+0.0319811
+0.0318867
+0.0319366
+0.0321361
+0.0324825
+0.0328939
+0.033409
+0.0339303
+0.034466
+0.0351304
+0.0344315
+0.0336437
+0.0329776
+0.0323806
+0.0319111
+0.0315597
+0.031356
+0.0311013
+0.030716
+0.0304613
+0.030355
+0.0303658
+0.030461
+0.0307056
+0.0308743
+0.0309535
+0.0311869
+0.0315504
+0.0320507
+0.0326904
+0.0334615
+0.0343553
+0.0353624
+0.0364734
+0.0376791
+0.0389554
+0.0403023
+0.0417208
+0.0432038
+0.044745
+0.0463385
+0.0479791
+0.0496622
+0.0513836
+0.0531395
+0.0549267
+0.0567422
+0.0571492
+0.0574172
+0.0577635
+0.0762759
+0.0759593
+0.0757048
+0.075513
+0.0753844
+0.0753194
+0.075318
+0.0753804
+0.0755062
+0.0756953
+0.0759472
+0.0762611
+0.0753656
+0.0734643
+0.0715796
+0.0697127
+0.0678652
+0.0660387
+0.0642303
+0.0624438
+0.0606838
+0.0589527
+0.0572531
+0.0555878
+0.0539601
+0.0523735
+0.0508318
+0.049332
+0.0478618
+0.0464205
+0.0450397
+0.0437251
+0.0424828
+0.0413036
+0.0402024
+0.0391929
+0.0382822
+0.0374736
+0.0367767
+0.0361795
+0.0356935
+0.035337
+0.0350983
+0.0349698
+0.0349527
+0.0347139
+0.0345415
+0.0344482
+0.0344492
+0.0343148
+0.0341079
+0.0340177
+0.0340645
+0.0342516
+0.0345768
+0.0349552
+0.0354404
+0.0358966
+0.0364035
+0.0370331
+0.0364596
+0.0357165
+0.0350755
+0.0345078
+0.0340637
+0.0337332
+0.0335427
+0.0332558
+0.03288
+0.0326422
+0.0325434
+0.0325493
+0.0326381
+0.0328675
+0.0330642
+0.0331382
+0.0333563
+0.0336999
+0.0341687
+0.0347694
+0.0354954
+0.0363392
+0.0372928
+0.0383478
+0.0394964
+0.0407304
+0.0420227
+0.043385
+0.044813
+0.0463006
+0.0478423
+0.0494331
+0.0510683
+0.0527438
+0.0544559
+0.0562012
+0.0579768
+0.0586247
+0.0588861
+0.0592271
+0.078303
+0.0779946
+0.0777468
+0.0775601
+0.0774349
+0.0773716
+0.0773702
+0.0774309
+0.0775535
+0.0777376
+0.0779828
+0.0782445
+0.076352
+0.0744759
+0.0726174
+0.0707779
+0.068959
+0.0671576
+0.0653777
+0.0636235
+0.061897
+0.0602008
+0.0585374
+0.0569098
+0.055321
+0.0537745
+0.0522701
+0.0508079
+0.0493889
+0.0479935
+0.0466593
+0.0453916
+0.0441944
+0.0430557
+0.0420004
+0.0410351
+0.0401662
+0.0393963
+0.0387341
+0.0381674
+0.0377071
+0.0373698
+0.0371495
+0.0370272
+0.037011
+0.0368468
+0.0366696
+0.036546
+0.0365469
+0.0364371
+0.0362423
+0.0361559
+0.0361999
+0.036376
+0.0366824
+0.0370315
+0.0374897
+0.0378864
+0.0383669
+0.0389649
+0.0385054
+0.0378026
+0.0371809
+0.0366425
+0.0362194
+0.0359087
+0.0357299
+0.0354046
+0.0350472
+0.0348242
+0.0347321
+0.0347337
+0.0348169
+0.0350331
+0.0352542
+0.0353236
+0.0355283
+0.0358543
+0.0362953
+0.0368614
+0.037547
+0.0383457
+0.0392505
+0.0402543
+0.0413499
+0.0425302
+0.0437851
+0.0450942
+0.0464697
+0.0479059
+0.0493976
+0.0509398
+0.0525281
+0.0541585
+0.0558272
+0.0575309
+0.0592667
+0.0601439
+0.0603986
+0.0607314
+0.0803387
+0.0800381
+0.0797967
+0.0796147
+0.0794928
+0.0794311
+0.0794298
+0.0794889
+0.0796083
+0.0797877
+0.0800266
+0.0792557
+0.0773879
+0.0755375
+0.0737058
+0.0718924
+0.0700958
+0.0683222
+0.0665735
+0.0648516
+0.0631587
+0.0614973
+0.05987
+0.0582795
+0.0567291
+0.0552221
+0.0537547
+0.052334
+0.0509644
+0.0496134
+0.0483239
+0.0471011
+0.0459386
+0.0448442
+0.0438321
+0.042908
+0.0420777
+0.0413457
+0.0407152
+0.0401765
+0.0397395
+0.0394195
+0.0392158
+0.0390991
+0.0390837
+0.038986
+0.0387721
+0.0386541
+0.038655
+0.0385519
+0.0383679
+0.0383
+0.0383415
+0.0385079
+0.0387941
+0.0391202
+0.0395486
+0.0398891
+0.0403458
+0.0409148
+0.0405665
+0.0398999
+0.0392926
+0.0387835
+0.0383791
+0.038086
+0.0379175
+0.037554
+0.0372173
+0.0370073
+0.036921
+0.0369188
+0.0369971
+0.0372016
+0.0374443
+0.0375097
+0.0377025
+0.0380129
+0.0384291
+0.0389642
+0.0396135
+0.0403713
+0.0412317
+0.0421884
+0.043235
+0.0443652
+0.0455727
+0.0468435
+0.0481691
+0.0495561
+0.0509995
+0.0524947
+0.0540373
+0.0556234
+0.0572495
+0.0589121
+0.0606083
+0.0617034
+0.0619518
+0.0622763
+0.0823823
+0.0820892
+0.0818538
+0.0816765
+0.0815576
+0.0814975
+0.0814963
+0.0815539
+0.0816702
+0.0818451
+0.082078
+0.0803138
+0.0784713
+0.0766471
+0.0748371
+0.0730472
+0.0712797
+0.0695363
+0.0678189
+0.0661294
+0.0644701
+0.0628434
+0.0612518
+0.0596982
+0.0581856
+0.0567169
+0.0552862
+0.0539059
+0.0525772
+0.0512757
+0.0500291
+0.0488444
+0.0477161
+0.0466634
+0.0456915
+0.0448058
+0.0440114
+0.0433133
+0.0427163
+0.0422036
+0.0417878
+0.0414837
+0.0412937
+0.0411832
+0.0411687
+0.0410895
+0.0408787
+0.0407709
+0.0407717
+0.0406731
+0.0404988
+0.0404425
+0.0404884
+0.040646
+0.0409066
+0.0412195
+0.0415867
+0.0419106
+0.0423455
+0.042888
+0.0426404
+0.041997
+0.0414124
+0.0409296
+0.0405421
+0.0402648
+0.0401054
+0.0397079
+0.0393896
+0.0391913
+0.0391101
+0.0391045
+0.0391785
+0.0393725
+0.0396344
+0.0396962
+0.0398785
+0.0401749
+0.040569
+0.0410763
+0.0416926
+0.0424133
+0.043233
+0.0441464
+0.0451476
+0.0462311
+0.0473911
+0.0486222
+0.0499068
+0.0512468
+0.0526439
+0.0540936
+0.0555919
+0.0571349
+0.0587191
+0.0603412
+0.0619984
+0.0633003
+0.0635425
+0.0638589
+0.0844333
+0.0841474
+0.0839178
+0.0837448
+0.0836289
+0.0835702
+0.083569
+0.0836252
+0.0837387
+0.0839092
+0.0832522
+0.0814172
+0.0795974
+0.0777937
+0.0760103
+0.0742487
+0.0725105
+0.0707975
+0.0691114
+0.0674543
+0.0658284
+0.0642361
+0.0626799
+0.0611625
+0.0596871
+0.0582535
+0.0568609
+0.0555197
+0.0542306
+0.0529765
+0.0517709
+0.0506146
+0.0495266
+0.0485132
+0.0475792
+0.0467293
+0.0459681
+0.0453002
+0.0447297
+0.0442464
+0.0438499
+0.0435602
+0.0433793
+0.0432779
+0.043264
+0.0431936
+0.0429931
+0.0428951
+0.0428959
+0.0428014
+0.0426357
+0.0425823
+0.0426398
+0.0427894
+0.043027
+0.0433278
+0.0436395
+0.0439483
+0.0443632
+0.0448813
+0.0447254
+0.0441007
+0.0435393
+0.0430799
+0.042708
+0.0424448
+0.0422789
+0.0418656
+0.0415638
+0.0413759
+0.0412994
+0.0412908
+0.0413609
+0.0415455
+0.0418164
+0.0418832
+0.042056
+0.04234
+0.042714
+0.0431961
+0.0437826
+0.0444694
+0.045252
+0.0461254
+0.0470846
+0.0481244
+0.0492399
+0.0504258
+0.0516775
+0.0529741
+0.0543268
+0.0557328
+0.0571881
+0.0586892
+0.0602325
+0.061815
+0.0634336
+0.0649319
+0.065168
+0.0654766
+0.0864911
+0.0862121
+0.0859879
+0.0858192
+0.085706
+0.0856488
+0.0856476
+0.0857025
+0.0858132
+0.0859796
+0.0843735
+0.0825579
+0.0807609
+0.0789837
+0.0772278
+0.0754947
+0.0737858
+0.0721031
+0.0704482
+0.0688233
+0.0672306
+0.0656722
+0.0641509
+0.0626692
+0.06123
+0.0598303
+0.0584752
+0.0571719
+0.0559209
+0.0547121
+0.0535355
+0.0524166
+0.0513668
+0.0503904
+0.0494918
+0.0486753
+0.0479451
+0.0473051
+0.046759
+0.0463026
+0.045924
+0.0456474
+0.0454748
+0.0453816
+0.0453684
+0.0453059
+0.0451148
+0.0450257
+0.0450264
+0.0449353
+0.0447779
+0.044727
+0.0447833
+0.0449374
+0.0451541
+0.0454439
+0.0457052
+0.0460001
+0.0463966
+0.0468923
+0.0468201
+0.0462093
+0.0456721
+0.0452314
+0.0448762
+0.0446258
+0.0444198
+0.0440266
+0.0437397
+0.0435612
+0.0434888
+0.0434775
+0.0435441
+0.0437203
+0.0439772
+0.0440706
+0.0442348
+0.0445063
+0.0448635
+0.0453227
+0.045882
+0.0465379
+0.0472862
+0.0481227
+0.0490428
+0.050042
+0.0511156
+0.0522591
+0.0534678
+0.0547346
+0.0560448
+0.0574088
+0.0588227
+0.060283
+0.0617865
+0.0633302
+0.0649111
+0.0665265
+0.0668258
+0.0671267
+0.0902732
+0.0883602
+0.0864603
+0.0845745
+0.0827038
+0.0808491
+0.0790116
+0.0771926
+0.0753933
+0.0736153
+0.07186
+0.0701293
+0.0684249
+0.0667489
+0.0651035
+0.0634907
+0.0619005
+0.0603479
+0.0588358
+0.0573676
+0.0559467
+0.0545768
+0.0532617
+0.0520057
+0.0508131
+0.0496886
+0.0486367
+0.0476624
+0.0467705
+0.0459658
+0.0452529
+0.0446362
+0.0441199
+0.0437073
+0.0433822
+0.0431639
+0.0430368
+0.0429972
+0.0430588
+0.0431338
+0.043277
+0.0435216
+0.0438743
+0.0443326
+0.0448932
+0.0455524
+0.0462871
+0.0470944
+0.0479883
+0.0489616
+0.0500004
+0.0511121
+0.0522919
+0.0535236
+0.0545552
+0.0556539
+0.0568159
+0.0580152
+0.0592612
+0.0605609
+0.0619108
+0.0633078
+0.0646799
+0.0660512
+0.0674658
+0.0689209
+0.0704142
+0.0700841
+0.0696915
+0.0693659
+0.0691082
+0.0689192
+0.0687994
+0.0687409
+0.0687471
+0.0688176
+0.0689497
+0.0691509
+0.0694208
+0.0697469
+0.0701381
+0.0705952
+0.0710921
+0.0715995
+0.0720925
+0.0726483
+0.0732654
+0.0739338
+0.0746552
+0.0754333
+0.0762665
+0.0771528
+0.0780906
+0.0790692
+0.080094
+0.0811651
+0.0822805
+0.0834386
+0.0846375
+0.0858579
+0.0892871
+0.0873524
+0.0854302
+0.0835211
+0.0816263
+0.0797465
+0.077883
+0.076037
+0.0742097
+0.0724026
+0.0706172
+0.0688552
+0.0671185
+0.065409
+0.063729
+0.0620809
+0.0604672
+0.0588782
+0.0573275
+0.0558196
+0.0543583
+0.0529472
+0.0515906
+0.0502929
+0.0490587
+0.047893
+0.0468008
+0.0457875
+0.0448583
+0.0440186
+0.0432737
+0.0426284
+0.0420874
+0.0416547
+0.0413173
+0.0410881
+0.0409748
+0.0409786
+0.0410192
+0.0410532
+0.0412031
+0.0414598
+0.0418299
+0.0423103
+0.0428973
+0.0435813
+0.0443331
+0.0451754
+0.046105
+0.047105
+0.0481838
+0.0493364
+0.0505528
+0.0515978
+0.0526671
+0.0538044
+0.0549938
+0.0562215
+0.0575064
+0.0588449
+0.0602333
+0.0616109
+0.0629729
+0.0643805
+0.065831
+0.0673215
+0.0688429
+0.0687523
+0.068352
+0.0680199
+0.0677571
+0.0675643
+0.0674367
+0.0673718
+0.0673725
+0.0674363
+0.0675711
+0.0677764
+0.0680517
+0.0683843
+0.0687833
+0.069194
+0.0695929
+0.0700581
+0.0705882
+0.0711705
+0.0718003
+0.0724908
+0.0732322
+0.0740253
+0.0748741
+0.0757764
+0.0767211
+0.0777152
+0.0787577
+0.0798466
+0.0809581
+0.0821121
+0.0833078
+0.0845434
+0.0883442
+0.0863885
+0.0844443
+0.0825125
+0.0805939
+0.0786895
+0.0768004
+0.0749277
+0.0730727
+0.0712367
+0.0694213
+0.0676282
+0.0658591
+0.0641161
+0.0624013
+0.0607171
+0.0590661
+0.0574513
+0.0558643
+0.0543159
+0.0528129
+0.0513594
+0.0499597
+0.0486185
+0.0473407
+0.0461315
+0.0449966
+0.0439417
+0.0429726
+0.0420954
+0.0413158
+0.0406394
+0.0400715
+0.0396168
+0.0392661
+0.0390248
+0.0389056
+0.0389095
+0.0389488
+0.0389847
+0.0391417
+0.0394119
+0.039801
+0.0403056
+0.0409214
+0.0416156
+0.0424023
+0.0432817
+0.044237
+0.0452782
+0.0463995
+0.0475928
+0.0486579
+0.0496939
+0.0508033
+0.0519814
+0.0531885
+0.0544569
+0.0557824
+0.0571613
+0.058545
+0.0598965
+0.0612966
+0.0627418
+0.0642293
+0.0657498
+0.0673003
+0.0674481
+0.06704
+0.0667015
+0.0664334
+0.0662368
+0.0661122
+0.0660413
+0.0660337
+0.0660987
+0.0662362
+0.0664457
+0.0667212
+0.0670274
+0.0672967
+0.0676358
+0.0680439
+0.0685195
+0.0690615
+0.069659
+0.0703023
+0.0710072
+0.0717599
+0.0725703
+0.0734372
+0.0743585
+0.0753322
+0.0763564
+0.0774094
+0.0784934
+0.0796229
+0.0807961
+0.0820109
+0.0832657
+0.0874462
+0.0854699
+0.0835043
+0.0815502
+0.0796084
+0.0776799
+0.0757656
+0.0738667
+0.0719843
+0.0701199
+0.0682748
+0.0664507
+0.0646494
+0.0628729
+0.0611232
+0.0594028
+0.0577143
+0.0560605
+0.0544446
+0.0528601
+0.0513145
+0.0498174
+0.0483731
+0.0469866
+0.0456631
+0.0444083
+0.0432282
+0.042129
+0.0411172
+0.0401995
+0.0393824
+0.0386722
+0.038075
+0.0375962
+0.0372308
+0.0369762
+0.0368503
+0.0368545
+0.0368924
+0.0369302
+0.0370952
+0.0373802
+0.0377902
+0.0383213
+0.0389527
+0.0396735
+0.0404979
+0.0414021
+0.0423998
+0.0434851
+0.0446515
+0.0457306
+0.046737
+0.0478146
+0.0489666
+0.0501634
+0.0514131
+0.0527242
+0.0540923
+0.0554827
+0.0568226
+0.0582141
+0.0596536
+0.0611378
+0.0626571
+0.0642075
+0.0657944
+0.0661833
+0.0657674
+0.0654222
+0.0651489
+0.0649484
+0.0648214
+0.0647466
+0.0647389
+0.0648053
+0.0649455
+0.0651375
+0.0652818
+0.065491
+0.0657665
+0.0661135
+0.0665309
+0.0670173
+0.0675713
+0.068179
+0.0688361
+0.0695548
+0.0703224
+0.0711492
+0.0720332
+0.0729722
+0.0739642
+0.0750071
+0.0760751
+0.0771778
+0.0783263
+0.0795186
+0.0807527
+0.0820198
+0.0865942
+0.084598
+0.0826117
+0.080636
+0.0786716
+0.0767195
+0.0747807
+0.0728561
+0.0709469
+0.0690545
+0.0671802
+0.0653255
+0.0634923
+0.0616825
+0.059898
+0.0581414
+0.0564151
+0.054722
+0.0530654
+0.0514488
+0.0498674
+0.0483254
+0.0468352
+0.0454017
+0.0440306
+0.0427279
+0.0415001
+0.0403538
+0.0392964
+0.0383351
+0.0374773
+0.0367304
+0.0361011
+0.0355957
+0.0352141
+0.0349449
+0.0348116
+0.034816
+0.0348523
+0.0348924
+0.0350661
+0.0353675
+0.0358006
+0.0363589
+0.0370005
+0.0377585
+0.0386078
+0.0395547
+0.0405978
+0.0417299
+0.0428258
+0.0437995
+0.0448407
+0.0459629
+0.0471479
+0.0483762
+0.0496709
+0.0510268
+0.0524246
+0.0537515
+0.0551334
+0.0565665
+0.0580469
+0.0595649
+0.0611153
+0.0627039
+0.0643224
+0.0649678
+0.0645441
+0.0641923
+0.0639138
+0.0637094
+0.0635726
+0.0634955
+0.0634876
+0.0635269
+0.0635384
+0.0636109
+0.0637587
+0.0639812
+0.0642727
+0.0646277
+0.0650546
+0.065552
+0.0661183
+0.066736
+0.0674072
+0.0681412
+0.0689246
+0.069768
+0.0706692
+0.0716261
+0.0726365
+0.0736982
+0.0747811
+0.0759026
+0.0770701
+0.0782815
+0.0795276
+0.0808128
+0.0857897
+0.0837744
+0.0817681
+0.0797715
+0.0777853
+0.0758104
+0.0738476
+0.0718981
+0.0699628
+0.068043
+0.06614
+0.0642554
+0.0623907
+0.0605479
+0.058729
+0.0569363
+0.0551723
+0.0534399
+0.0517423
+0.050083
+0.0484659
+0.0468884
+0.045351
+0.043869
+0.0424485
+0.0410957
+0.0398175
+0.0386214
+0.0375151
+0.0365069
+0.0356052
+0.034818
+0.0341535
+0.0336189
+0.0332158
+0.0329302
+0.0327888
+0.0327935
+0.0328317
+0.0328742
+0.0330577
+0.0333772
+0.0338358
+0.034399
+0.0350765
+0.0358634
+0.0367504
+0.0377439
+0.0388357
+0.03995
+0.0408774
+0.0418849
+0.0429725
+0.0441422
+0.0453477
+0.0466235
+0.0479655
+0.0493666
+0.0506836
+0.0520548
+0.0534807
+0.0549569
+0.0564735
+0.0580235
+0.0596136
+0.0612331
+0.0628799
+0.0638044
+0.0633728
+0.0630146
+0.0627308
+0.0625207
+0.0623738
+0.0622421
+0.0620997
+0.0620343
+0.0620462
+0.0621241
+0.0622754
+0.0625032
+0.0628058
+0.0631693
+0.063606
+0.0641146
+0.0646934
+0.0653345
+0.06602
+0.0667695
+0.0675689
+0.068429
+0.0693476
+0.0703225
+0.0713513
+0.0724319
+0.0735296
+0.07467
+0.0758564
+0.0770794
+0.0783435
+0.0796477
+0.0850341
+0.0830004
+0.0809749
+0.0789583
+0.0769511
+0.0749542
+0.0729684
+0.0709947
+0.0690341
+0.0670877
+0.0651569
+0.063243
+0.0613475
+0.0594724
+0.0576196
+0.0557912
+0.0539899
+0.0522183
+0.0504796
+0.0487773
+0.0471154
+0.0454983
+0.0439259
+0.0423942
+0.0409225
+0.0395175
+0.0381865
+0.0369376
+0.0357793
+0.0347208
+0.0337713
+0.0329404
+0.0322372
+0.0316702
+0.0312421
+0.0309383
+0.0307877
+0.0307927
+0.0308342
+0.0308795
+0.0310738
+0.0314135
+0.0318863
+0.0324686
+0.0331813
+0.0339972
+0.0349317
+0.0359754
+0.0370735
+0.0379804
+0.0389512
+0.0399986
+0.0411362
+0.0423292
+0.0435832
+0.0449092
+0.0463009
+0.0476196
+0.0489787
+0.0503963
+0.0518677
+0.0533819
+0.0549317
+0.0565239
+0.0581448
+0.0597964
+0.0614717
+0.0626959
+0.0622567
+0.061892
+0.061603
+0.0612909
+0.0610168
+0.0607925
+0.0606467
+0.0605797
+0.060592
+0.0606799
+0.0608348
+0.061068
+0.0613785
+0.0617541
+0.0622008
+0.0627208
+0.0633123
+0.0639735
+0.0646773
+0.0654424
+0.0662579
+0.0671348
+0.0680709
+0.0690638
+0.0701111
+0.0711839
+0.0723034
+0.0734628
+0.0746684
+0.0759182
+0.0772033
+0.0785265
+0.0843287
+0.0822775
+0.0802338
+0.078198
+0.0761708
+0.0741529
+0.0721451
+0.0701482
+0.0681633
+0.0661913
+0.0642335
+0.0622912
+0.0603659
+0.0584593
+0.0565733
+0.05471
+0.0528718
+0.0510614
+0.0492819
+0.0475368
+0.0458299
+0.0441658
+0.0425493
+0.0409834
+0.0394591
+0.038
+0.0366139
+0.0353094
+0.0340959
+0.0329834
+0.0319824
+0.0311038
+0.0303581
+0.0297553
+0.0292991
+0.028975
+0.0288142
+0.0288195
+0.0288649
+0.0289132
+0.0291197
+0.0294819
+0.0299543
+0.0305734
+0.0313086
+0.032172
+0.033158
+0.0342242
+0.0351179
+0.0360364
+0.0370451
+0.0381449
+0.039323
+0.0405517
+0.0418591
+0.043238
+0.0445604
+0.0459054
+0.0473137
+0.0487798
+0.050291
+0.0518406
+0.0534351
+0.0550575
+0.0567135
+0.0583939
+0.0601072
+0.0616063
+0.0610753
+0.060581
+0.0601625
+0.0598213
+0.0595587
+0.0593665
+0.0592281
+0.0591596
+0.0591721
+0.0592657
+0.0594399
+0.0596787
+0.0599964
+0.0603821
+0.0608388
+0.0613704
+0.0619748
+0.0626501
+0.0633818
+0.0641626
+0.0649943
+0.065888
+0.0668416
+0.0678411
+0.0688791
+0.0699702
+0.0711078
+0.0722864
+0.0735106
+0.0747774
+0.0760862
+0.0774297
+0.0836746
+0.0816071
+0.0795461
+0.0774922
+0.0754461
+0.0734083
+0.0713795
+0.0693606
+0.0673524
+0.065356
+0.0633724
+0.0614029
+0.0594488
+0.0575118
+0.0555937
+0.0536964
+0.0518222
+0.0499738
+0.0481542
+0.0463666
+0.044615
+0.0429038
+0.0412379
+0.0396232
+0.0380657
+0.036551
+0.0351077
+0.0337451
+0.0324731
+0.031303
+0.0302464
+0.0293158
+0.0285234
+0.027881
+0.0273936
+0.0270466
+0.0268697
+0.0268061
+0.0269213
+0.0269815
+0.0272016
+0.0275591
+0.0280602
+0.0287026
+0.0294797
+0.0303952
+0.0314209
+0.0322988
+0.0331507
+0.0341172
+0.0351721
+0.0363287
+0.0375311
+0.0388166
+0.0401804
+0.0415069
+0.0428358
+0.0442334
+0.0456932
+0.0472011
+0.0487504
+0.0503475
+0.0519716
+0.0536311
+0.0553184
+0.0570399
+0.0587927
+0.0601207
+0.0596003
+0.059147
+0.0587463
+0.0583968
+0.0581279
+0.057933
+0.0578121
+0.057774
+0.0577929
+0.0578887
+0.058067
+0.0583264
+0.0586522
+0.0590567
+0.0595249
+0.0600681
+0.0606855
+0.061375
+0.0621341
+0.062933
+0.063781
+0.0646914
+0.0656382
+0.0666384
+0.0676949
+0.0688036
+0.0699513
+0.0711466
+0.0723885
+0.0736746
+0.0750026
+0.0763679
+0.0830732
+0.0809903
+0.0789132
+0.0768424
+0.0747785
+0.072722
+0.0706735
+0.0686339
+0.0666038
+0.0645842
+0.0625761
+0.0605807
+0.0585993
+0.0566332
+0.0546843
+0.0527543
+0.0508455
+0.0489602
+0.0471014
+0.0452723
+0.0434766
+0.0417187
+0.0400035
+0.0383368
+0.0367252
+0.0351763
+0.0336767
+0.0322537
+0.0309204
+0.0296892
+0.028573
+0.027586
+0.0267424
+0.0260561
+0.0254776
+0.0250651
+0.0248045
+0.0247357
+0.0248604
+0.0250924
+0.0253168
+0.0256753
+0.026204
+0.026875
+0.0277034
+0.0286711
+0.0294912
+0.030307
+0.0312133
+0.032223
+0.0333379
+0.034524
+0.0357836
+0.0371296
+0.0384606
+0.0397706
+0.0411556
+0.0426083
+0.0441123
+0.0456614
+0.0472605
+0.0488872
+0.0505506
+0.0522456
+0.0539762
+0.0557392
+0.0575316
+0.0586366
+0.0581193
+0.0576802
+0.0572988
+0.0569932
+0.0567455
+0.0565482
+0.0564242
+0.0563852
+0.0564312
+0.0565621
+0.0567456
+0.0570117
+0.0573556
+0.0577692
+0.0582623
+0.0588185
+0.0594489
+0.0601526
+0.0609269
+0.0617566
+0.0626131
+0.06351
+0.0644689
+0.065487
+0.0665583
+0.0676743
+0.0688408
+0.0700551
+0.071316
+0.0726211
+0.073968
+0.075354
+0.0825161
+0.0804268
+0.0783365
+0.0762501
+0.0741697
+0.0720958
+0.070029
+0.06797
+0.0659195
+0.0638783
+0.0618473
+0.0598276
+0.0578203
+0.0558269
+0.0538487
+0.0518877
+0.0499457
+0.0480252
+0.0461287
+0.0442594
+0.0424209
+0.0406173
+0.0388535
+0.0371353
+0.0354691
+0.0338627
+0.0323251
+0.0308458
+0.029449
+0.0281534
+0.0269738
+0.0259135
+0.0249393
+0.0241251
+0.0234878
+0.0230418
+0.0227628
+0.0226878
+0.0228238
+0.023167
+0.0234564
+0.0238429
+0.0243859
+0.0251055
+0.0259904
+0.026722
+0.0275183
+0.0283446
+0.0293046
+0.0303687
+0.031534
+0.0327624
+0.0340873
+0.0354232
+0.0367109
+0.0380812
+0.0395255
+0.0410249
+0.0425736
+0.0441731
+0.0458046
+0.0474725
+0.0491759
+0.0509166
+0.0526909
+0.0544955
+0.0563275
+0.0571873
+0.0566661
+0.0562157
+0.0558475
+0.0555606
+0.0553283
+0.0551821
+0.0550885
+0.0550486
+0.0550957
+0.0552298
+0.0554502
+0.0557514
+0.0561078
+0.0565334
+0.057038
+0.0576149
+0.0582588
+0.058977
+0.0597669
+0.0606164
+0.0614644
+0.0623778
+0.0633538
+0.0643839
+0.0654636
+0.066598
+0.067783
+0.0690159
+0.0702954
+0.0716191
+0.0729846
+0.074389
+0.0820007
+0.0798979
+0.0778
+0.0757073
+0.0736204
+0.0715312
+0.0694477
+0.0673709
+0.0653016
+0.0632404
+0.0611883
+0.059146
+0.0571148
+0.0550959
+0.0530905
+0.0511003
+0.0491273
+0.0471734
+0.0452412
+0.0433337
+0.0414541
+0.0396065
+0.0377956
+0.0360269
+0.034307
+0.0326435
+0.0310455
+0.029522
+0.0280592
+0.0266549
+0.0253508
+0.0241594
+0.0231113
+0.0222303
+0.021537
+0.0210497
+0.0207515
+0.0206692
+0.0208184
+0.0211941
+0.0216409
+0.0220516
+0.0226339
+0.0234049
+0.0240331
+0.0248031
+0.0255295
+0.0264181
+0.027428
+0.0285621
+0.0297566
+0.0310555
+0.0323974
+0.0336583
+0.035011
+0.0364452
+0.0379393
+0.0394874
+0.0410873
+0.0427243
+0.0443971
+0.04611
+0.047862
+0.0496488
+0.0514668
+0.0533129
+0.0551841
+0.0557784
+0.0552497
+0.0547996
+0.0544219
+0.0541303
+0.0539262
+0.0537905
+0.0537295
+0.0537577
+0.0538163
+0.0539535
+0.0541791
+0.0544784
+0.0548601
+0.055322
+0.0558533
+0.0564544
+0.057121
+0.0578533
+0.0586584
+0.0595098
+0.0603733
+0.061303
+0.0622877
+0.0633274
+0.0644249
+0.0655771
+0.0667803
+0.0680314
+0.0693291
+0.0706709
+0.0720543
+0.0734152
+0.0815408
+0.0794259
+0.0773152
+0.075209
+0.0731079
+0.0710097
+0.0689172
+0.066831
+0.0647517
+0.0626726
+0.0606013
+0.0585386
+0.0564855
+0.0544432
+0.0524129
+0.050396
+0.0483942
+0.0464095
+0.0444441
+0.0425008
+0.0405827
+0.0386935
+0.0368378
+0.0350207
+0.0332488
+0.0315295
+0.0298719
+0.0282137
+0.0266269
+0.0251311
+0.0237433
+0.022482
+0.0213517
+0.0203949
+0.0196368
+0.0191012
+0.0187805
+0.0186895
+0.0188543
+0.0192684
+0.0198673
+0.0203345
+0.0209482
+0.0214549
+0.0221092
+0.022788
+0.0235765
+0.0245261
+0.0256013
+0.0267719
+0.0280378
+0.0293859
+0.0306148
+0.0319461
+0.0333682
+0.0348558
+0.0364033
+0.0380034
+0.0396468
+0.0413251
+0.0430488
+0.0448133
+0.0466141
+0.0484469
+0.0503084
+0.0521954
+0.0541054
+0.0544136
+0.0538725
+0.0534159
+0.0530393
+0.0527225
+0.0524952
+0.0523587
+0.0523136
+0.0523602
+0.0524983
+0.0527105
+0.0529547
+0.0532635
+0.0536539
+0.0541301
+0.05469
+0.0553177
+0.0560163
+0.0567788
+0.0576119
+0.0584643
+0.059343
+0.0602779
+0.0612734
+0.06233
+0.0634447
+0.0646145
+0.0658353
+0.0671039
+0.0684192
+0.0697349
+0.0709333
+0.0721621
+0.0811375
+0.0790118
+0.0768897
+0.0747716
+0.0726578
+0.0705462
+0.0684396
+0.0663384
+0.0642432
+0.0621545
+0.0600732
+0.0579999
+0.055935
+0.0538718
+0.0518191
+0.0497782
+0.0477505
+0.0457378
+0.0437423
+0.0417663
+0.0398128
+0.0378853
+0.0359879
+0.0341257
+0.0323046
+0.0304882
+0.0286935
+0.0269573
+0.0252918
+0.0237119
+0.0222358
+0.0208855
+0.0196789
+0.0186364
+0.0178036
+0.017211
+0.0168637
+0.0167623
+0.0169458
+0.0173823
+0.0180369
+0.0186605
+0.0190325
+0.0195228
+0.02015
+0.0208084
+0.0216691
+0.0226773
+0.0238161
+0.0250399
+0.0263769
+0.0275826
+0.0288882
+0.0302956
+0.0317752
+0.0333217
+0.0349221
+0.0365702
+0.0382573
+0.0399932
+0.041772
+0.0435882
+0.0454375
+0.047316
+0.0492202
+0.051145
+0.0530881
+0.0530429
+0.0524877
+0.0520189
+0.0516388
+0.0513417
+0.0511101
+0.0509698
+0.0509235
+0.0509714
+0.0511132
+0.0513482
+0.0516751
+0.0520824
+0.0524992
+0.0529979
+0.0535696
+0.0542239
+0.0549492
+0.0557322
+0.056585
+0.0574834
+0.0583634
+0.0593101
+0.0603216
+0.0613946
+0.062526
+0.0637127
+0.0649504
+0.0662015
+0.0673304
+0.0684848
+0.0696704
+0.0708948
+0.0802455
+0.0786496
+0.0765196
+0.0743931
+0.0722704
+0.0701481
+0.0680292
+0.0659149
+0.0638058
+0.0617023
+0.0596052
+0.057515
+0.0554326
+0.0533588
+0.0512948
+0.0492418
+0.0471958
+0.0451607
+0.0431404
+0.0411356
+0.0391506
+0.0371888
+0.0352474
+0.0332917
+0.031367
+0.0294795
+0.0276332
+0.0258259
+0.0240823
+0.0224173
+0.0208497
+0.0194032
+0.0180997
+0.0169603
+0.0160408
+0.0153804
+0.0149986
+0.0148845
+0.0150909
+0.01557
+0.0162955
+0.016833
+0.0171072
+0.0176511
+0.0181471
+0.0188754
+0.0198063
+0.0208948
+0.0220696
+0.0233846
+0.0245669
+0.0258392
+0.0272285
+0.0286984
+0.0302435
+0.0318441
+0.0334967
+0.0351948
+0.0369448
+0.0387396
+0.0405733
+0.0424409
+0.0443381
+0.0462592
+0.0482002
+0.0501617
+0.0521174
+0.0517142
+0.0511533
+0.0506733
+0.0502831
+0.0499828
+0.0497617
+0.0496363
+0.0495913
+0.0496405
+0.0497861
+0.0500273
+0.0503628
+0.0507906
+0.0512913
+0.0518788
+0.0524988
+0.0531756
+0.0539238
+0.054738
+0.0556105
+0.0565539
+0.057447
+0.0584086
+0.0594354
+0.0605241
+0.0615986
+0.0627287
+0.0638867
+0.0649628
+0.0660567
+0.0672043
+0.0684027
+0.0696495
+0.0787628
+0.0775018
+0.076138
+0.0740229
+0.0719123
+0.0698067
+0.0676824
+0.0655619
+0.063441
+0.0613251
+0.0592146
+0.0571101
+0.0550124
+0.0529222
+0.0508404
+0.0487682
+0.0467069
+0.0446578
+0.0426215
+0.0405936
+0.038566
+0.0365253
+0.034503
+0.0325025
+0.0305281
+0.0285853
+0.0266809
+0.0248237
+0.0230182
+0.02127
+0.019611
+0.0180655
+0.0166577
+0.0154121
+0.0143939
+0.0136542
+0.0132226
+0.013093
+0.0133272
+0.013863
+0.0146388
+0.0149456
+0.0152538
+0.0156475
+0.0161929
+0.0170051
+0.018006
+0.0191399
+0.0204089
+0.0215746
+0.0228034
+0.0241687
+0.0256267
+0.0271699
+0.0287704
+0.0304283
+0.0321391
+0.0339053
+0.0357185
+0.0375719
+0.0394599
+0.0413765
+0.0433146
+0.0452758
+0.047228
+0.0491458
+0.0510797
+0.0504421
+0.0498669
+0.0493779
+0.0489774
+0.0486722
+0.0484575
+0.0483288
+0.0482992
+0.0483689
+0.0485216
+0.0487691
+0.0491131
+0.0495465
+0.0500587
+0.0506605
+0.0513488
+0.0521201
+0.0529314
+0.0537726
+0.0546885
+0.055632
+0.0564573
+0.0573546
+0.0583203
+0.0593512
+0.0604307
+0.0615522
+0.0626107
+0.0636697
+0.0647855
+0.0659551
+0.0671759
+0.0684062
+0.0773136
+0.0760286
+0.0747857
+0.073587
+0.0715263
+0.069409
+0.0672963
+0.0651888
+0.063087
+0.0609914
+0.0589027
+0.0567869
+0.0546768
+0.0525732
+0.0504771
+0.0483894
+0.0463111
+0.0442437
+0.0421745
+0.0400844
+0.0380057
+0.0359402
+0.033884
+0.0318447
+0.0298268
+0.0278351
+0.0258755
+0.023956
+0.0220871
+0.0202826
+0.018549
+0.0169068
+0.0153934
+0.014036
+0.0129098
+0.0120795
+0.0115858
+0.0114377
+0.0117039
+0.0122728
+0.0129416
+0.0130868
+0.0133263
+0.01367
+0.0142911
+0.0151968
+0.0162727
+0.0174754
+0.0185922
+0.0197869
+0.02112
+0.0225622
+0.0241025
+0.0257026
+0.0273665
+0.0290925
+0.0308775
+0.0327118
+0.0345876
+0.0364979
+0.0384324
+0.040393
+0.0423406
+0.0442535
+0.0461845
+0.0481376
+0.0498555
+0.0492235
+0.0486452
+0.0481474
+0.0477365
+0.0474234
+0.04721
+0.0470869
+0.0470565
+0.047128
+0.047301
+0.0475744
+0.047931
+0.0483687
+0.0488932
+0.0495092
+0.0502133
+0.0510018
+0.0518709
+0.0528166
+0.0536721
+0.0544391
+0.055282
+0.0561654
+0.0571188
+0.0581392
+0.0592231
+0.0603254
+0.0613463
+0.0624267
+0.0635643
+0.0646999
+0.0658803
+0.0670909
+0.0758882
+0.074587
+0.0733234
+0.0721004
+0.070924
+0.0690784
+0.0669553
+0.0648367
+0.0627231
+0.060615
+0.0585129
+0.0564175
+0.0543297
+0.0522503
+0.0501804
+0.0481069
+0.0460076
+0.0438814
+0.0417618
+0.03965
+0.0375472
+0.035455
+0.0333755
+0.0313112
+0.0292652
+0.0272408
+0.0252351
+0.0232629
+0.0213333
+0.0194591
+0.0176578
+0.0159479
+0.014333
+0.0128642
+0.011625
+0.0106955
+0.0101359
+0.00996629
+0.0102277
+0.0108059
+0.0110167
+0.0110982
+0.0113711
+0.0117549
+0.0124717
+0.0134703
+0.01461
+0.0156447
+0.0168002
+0.0180882
+0.0195084
+0.02104
+0.0226429
+0.0243139
+0.0260579
+0.0278651
+0.0297239
+0.0316251
+0.0335549
+0.0355145
+0.0374561
+0.0393628
+0.04129
+0.0432423
+0.0452164
+0.0472097
+0.0485986
+0.04795
+0.0473939
+0.0469335
+0.0465653
+0.0462447
+0.0460258
+0.0459105
+0.0458848
+0.0459581
+0.0461355
+0.0464157
+0.0467944
+0.0472545
+0.0477998
+0.0484297
+0.0491492
+0.0499545
+0.0508196
+0.0516769
+0.0524359
+0.0532036
+0.0540483
+0.0549514
+0.0559256
+0.0569674
+0.0580731
+0.0590703
+0.060103
+0.0611504
+0.0622366
+0.063372
+0.0645615
+0.065788
+0.0744706
+0.0731674
+0.0718853
+0.0706414
+0.0694444
+0.0682966
+0.0666846
+0.0645571
+0.0624341
+0.0603158
+0.0582029
+0.056096
+0.0539957
+0.0519029
+0.0498186
+0.0477437
+0.0456797
+0.0435951
+0.0414609
+0.0393329
+0.0372122
+0.0351001
+0.0329982
+0.0309087
+0.0288342
+0.0267782
+0.0247453
+0.0227418
+0.0207761
+0.0188553
+0.0169902
+0.0152037
+0.0135026
+0.0119618
+0.0106294
+0.00960377
+0.00891294
+0.00871955
+0.00895503
+0.00901525
+0.00907496
+0.00920179
+0.00951911
+0.00995422
+0.0107838
+0.0118303
+0.0127687
+0.0138624
+0.0150832
+0.0164711
+0.0179878
+0.0195947
+0.0212745
+0.0230403
+0.0248738
+0.026761
+0.0286846
+0.0306424
+0.0325759
+0.0344743
+0.0363966
+0.0383478
+0.0403235
+0.0423204
+0.0443356
+0.0463667
+0.0474097
+0.0467446
+0.0461739
+0.0457013
+0.045323
+0.0450343
+0.0448509
+0.044774
+0.0447843
+0.0448594
+0.0450411
+0.045328
+0.0457183
+0.0461919
+0.0467607
+0.0474239
+0.0481598
+0.0488939
+0.0496505
+0.0504734
+0.0512276
+0.0520131
+0.0528766
+0.0537993
+0.0547899
+0.0558336
+0.056838
+0.0577725
+0.0587738
+0.0598161
+0.0609178
+0.0620686
+0.063262
+0.0645075
+0.0729931
+0.0717529
+0.0704759
+0.0692169
+0.0679948
+0.0668221
+0.0657016
+0.06435
+0.062219
+0.0600923
+0.0579703
+0.0558537
+0.053743
+0.051639
+0.0495424
+0.0474544
+0.0453761
+0.0433088
+0.0412543
+0.039136
+0.0370041
+0.0348794
+0.0327634
+0.0306579
+0.0285652
+0.0264883
+0.0244313
+0.0223997
+0.020401
+0.018446
+0.0165404
+0.0147072
+0.0129843
+0.0113642
+0.00993396
+0.00877558
+0.00797079
+0.00755097
+0.0071997
+0.00715464
+0.0072742
+0.0074453
+0.00780309
+0.00833983
+0.00924737
+0.010026
+0.0109716
+0.0121253
+0.0134616
+0.0149543
+0.0165586
+0.0182549
+0.0200473
+0.0219122
+0.0238258
+0.0257803
+0.0277021
+0.0295892
+0.0315049
+0.0334544
+0.0354321
+0.0374335
+0.0394551
+0.0414938
+0.0435473
+0.0456135
+0.0462555
+0.0456055
+0.0450276
+0.0445427
+0.0441546
+0.0438582
+0.0436698
+0.0435909
+0.0436219
+0.0437627
+0.0440123
+0.044307
+0.0447061
+0.0452032
+0.0457914
+0.0464119
+0.0470287
+0.0477143
+0.0484893
+0.0492757
+0.0500479
+0.0508331
+0.0516963
+0.0526217
+0.0536118
+0.0546254
+0.0555107
+0.056453
+0.0574494
+0.0585065
+0.0596175
+0.0607797
+0.0619976
+0.0632679
+0.0715321
+0.070274
+0.0690538
+0.0678155
+0.0665857
+0.0653877
+0.0642422
+0.0631516
+0.0620117
+0.0598792
+0.0577511
+0.0556279
+0.0535101
+0.0513984
+0.0492936
+0.0471961
+0.0451063
+0.0430261
+0.0409574
+0.0389021
+0.0368623
+0.0347739
+0.0326529
+0.0305417
+0.0284426
+0.0263584
+0.024293
+0.0222515
+0.0202413
+0.0182725
+0.0163594
+0.0145071
+0.0127328
+0.0110521
+0.00957745
+0.00826585
+0.00694736
+0.00599588
+0.00557717
+0.00552385
+0.00572356
+0.00589214
+0.00633648
+0.00698963
+0.00747705
+0.00819307
+0.0092423
+0.0105036
+0.0119541
+0.0135505
+0.0152667
+0.0170917
+0.0189875
+0.0209353
+0.0228389
+0.0247093
+0.0266157
+0.0285628
+0.030543
+0.0325502
+0.0345796
+0.0366277
+0.0386913
+0.0407683
+0.0428565
+0.0449545
+0.0451353
+0.0444837
+0.0439048
+0.0434288
+0.0430591
+0.042762
+0.0425688
+0.0424878
+0.0425196
+0.0426641
+0.04292
+0.0432855
+0.0437577
+0.0442442
+0.0447138
+0.045275
+0.0458869
+0.0465494
+0.0472846
+0.0481079
+0.0488627
+0.0496642
+0.0505137
+0.0514425
+0.0524465
+0.0533164
+0.0541952
+0.0551408
+0.056156
+0.0572287
+0.0583563
+0.0595431
+0.0607858
+0.0620462
+0.0701037
+0.0688213
+0.0675857
+0.0663895
+0.0651938
+0.0639962
+0.0628253
+0.06171
+0.0606523
+0.0595401
+0.0574016
+0.0552671
+0.0531373
+0.0510125
+0.0488936
+0.0467814
+0.0446747
+0.0425733
+0.0404813
+0.0384004
+0.0363324
+0.0342796
+0.0322388
+0.0302156
+0.0282131
+0.0262045
+0.0242274
+0.0222904
+0.020288
+0.0183243
+0.0164182
+0.0145519
+0.0126683
+0.0107684
+0.00898934
+0.00733151
+0.0058856
+0.00482942
+0.00436905
+0.00432979
+0.00460803
+0.00485403
+0.00484097
+0.00512097
+0.00567915
+0.00652855
+0.00763501
+0.0090203
+0.0105945
+0.0123329
+0.0141906
+0.0161226
+0.0179936
+0.0198386
+0.0217306
+0.0236741
+0.0256575
+0.0276722
+0.0297118
+0.0317715
+0.0338477
+0.0359375
+0.0380386
+0.0401493
+0.0422681
+0.044394
+0.0440829
+0.0434327
+0.0428506
+0.0423628
+0.0419837
+0.0417164
+0.0415389
+0.0414558
+0.0414884
+0.0416364
+0.0418986
+0.0422728
+0.0427167
+0.0431126
+0.0435562
+0.0440946
+0.0446557
+0.0453159
+0.0460708
+0.0469156
+0.0476906
+0.0484987
+0.0493475
+0.0502604
+0.0512034
+0.0520192
+0.052913
+0.0538811
+0.0549108
+0.0559994
+0.0571512
+0.0583604
+0.0595566
+0.0607816
+0.0686812
+0.0674067
+0.0661446
+0.0649319
+0.0637644
+0.062604
+0.0614283
+0.0602994
+0.0592222
+0.0582008
+0.0570316
+0.0548828
+0.0527374
+0.0505958
+0.0484587
+0.0463266
+0.0442002
+0.0420804
+0.0399683
+0.0378651
+0.0357709
+0.0336839
+0.031611
+0.029555
+0.0275199
+0.0255037
+0.0235134
+0.0215154
+0.0195551
+0.0176491
+0.0157916
+0.0139263
+0.0120496
+0.0102107
+0.00838136
+0.00669763
+0.00526983
+0.00415878
+0.003055
+0.00291462
+0.0031837
+0.00322176
+0.00312342
+0.00349868
+0.0041885
+0.00503514
+0.00622924
+0.00774875
+0.00947689
+0.0113656
+0.0131835
+0.0149861
+0.0168533
+0.0187905
+0.0207781
+0.022803
+0.024856
+0.0269307
+0.0290225
+0.0311278
+0.0332442
+0.0353697
+0.0375027
+0.0396419
+0.0417865
+0.0437944
+0.0430432
+0.0423771
+0.0418152
+0.0413618
+0.0409972
+0.0407234
+0.0405534
+0.0404913
+0.0405419
+0.0406934
+0.0409616
+0.0412451
+0.04153
+0.0418923
+0.042365
+0.0428654
+0.0434423
+0.0441205
+0.0448955
+0.0457623
+0.0464744
+0.0472404
+0.0480877
+0.0490059
+0.0499349
+0.050771
+0.0516846
+0.0526577
+0.0537026
+0.0548149
+0.0559705
+0.0571103
+0.0583032
+0.0595275
+0.0671694
+0.0659909
+0.0647456
+0.0635062
+0.0623191
+0.0611836
+0.0600235
+0.0588717
+0.0577759
+0.0567312
+0.0557473
+0.0545837
+0.052426
+0.0502712
+0.0481197
+0.0459719
+0.0438283
+0.0416896
+0.0395566
+0.0374303
+0.0353118
+0.0332027
+0.0311049
+0.0290208
+0.0269528
+0.0248977
+0.0228678
+0.0208705
+0.0189083
+0.0169451
+0.0150274
+0.013195
+0.0113754
+0.00965067
+0.00793092
+0.00637231
+0.0050796
+0.00306548
+0.00155982
+0.00136476
+0.0017568
+0.00196442
+0.00205126
+0.00251262
+0.00306093
+0.00377057
+0.00505777
+0.00677238
+0.0084088
+0.0101778
+0.0119934
+0.0139174
+0.0159106
+0.0179498
+0.0200211
+0.0221153
+0.0242267
+0.026351
+0.0284854
+0.0306277
+0.0327764
+0.0349278
+0.0370768
+0.0392303
+0.0413878
+0.0427249
+0.0420031
+0.041374
+0.0408353
+0.040371
+0.0400023
+0.039745
+0.0396074
+0.0395722
+0.0396299
+0.0397415
+0.0398302
+0.0400386
+0.0403133
+0.0406865
+0.0411696
+0.0416693
+0.0422625
+0.0429594
+0.0437549
+0.044492
+0.0451855
+0.0459578
+0.0467952
+0.0477137
+0.0486993
+0.0495732
+0.050492
+0.0514844
+0.0525277
+0.0536044
+0.0547039
+0.0558645
+0.05707
+0.0582935
+0.0656948
+0.0644982
+0.0633198
+0.062125
+0.060911
+0.0597528
+0.0586395
+0.0574826
+0.0563695
+0.055301
+0.0542258
+0.0531318
+0.0521071
+0.0500405
+0.0478786
+0.0457195
+0.0435635
+0.0414111
+0.039263
+0.0371198
+0.0349825
+0.0328523
+0.0307306
+0.0286193
+0.0265208
+0.0244385
+0.022377
+0.0203425
+0.0183439
+0.0163817
+0.0144842
+0.0126214
+0.0108251
+0.00910252
+0.00748825
+0.00599578
+0.00458451
+0.00273626
+0.00133294
+0.000816493
+0.000914952
+0.00109928
+0.00144059
+0.00163838
+0.00211413
+0.00276088
+0.00392125
+0.00542834
+0.00718618
+0.0090718
+0.0110703
+0.0131303
+0.0152268
+0.0173466
+0.0194821
+0.0216286
+0.0237753
+0.0259231
+0.0280775
+0.0302371
+0.0324009
+0.0345681
+0.0367381
+0.0389104
+0.0410846
+0.0417233
+0.0409845
+0.0403487
+0.0398219
+0.0393833
+0.0390467
+0.0388003
+0.0386593
+0.0386076
+0.0385705
+0.0385295
+0.0385965
+0.0387873
+0.0391001
+0.0395312
+0.0400324
+0.0405524
+0.0411617
+0.0418769
+0.0426428
+0.0432326
+0.0439037
+0.0446723
+0.0455329
+0.0464625
+0.0474741
+0.0484166
+0.0493192
+0.0502943
+0.0512927
+0.0523527
+0.0534755
+0.0546502
+0.0558504
+0.057095
+0.0642485
+0.0630377
+0.0618668
+0.0606892
+0.0595467
+0.058365
+0.0572391
+0.0561214
+0.054989
+0.0539191
+0.0527513
+0.0516262
+0.0505709
+0.0495901
+0.047721
+0.0455561
+0.0433938
+0.0412345
+0.0390786
+0.0369269
+0.0347801
+0.032639
+0.0305051
+0.0283796
+0.0262637
+0.0241598
+0.0220723
+0.0200068
+0.0179709
+0.0159761
+0.0140398
+0.01217
+0.010341
+0.00862656
+0.007135
+0.00566683
+0.00402084
+0.00251344
+0.00166489
+0.000557
+-0.0011942
+-0.000818248
+-0.000316293
+9.20542e-05
+0.000595188
+0.00133373
+0.00265964
+0.00434639
+0.00632054
+0.00840271
+0.010529
+0.0126542
+0.0147946
+0.0169478
+0.0191095
+0.0212772
+0.0234491
+0.0256243
+0.0278018
+0.0299813
+0.0321623
+0.0343446
+0.0365278
+0.0387119
+0.0408967
+0.0408149
+0.0400593
+0.0394108
+0.0388713
+0.0384492
+0.0380688
+0.0377521
+0.0375265
+0.0373353
+0.0372712
+0.0372954
+0.037365
+0.0375624
+0.0378857
+0.0383316
+0.0388449
+0.039406
+0.0400776
+0.0408117
+0.0413871
+0.0419735
+0.0426645
+0.043455
+0.0443294
+0.0452827
+0.0463201
+0.0471902
+0.0480772
+0.0490364
+0.0500462
+0.0511298
+0.0522807
+0.053465
+0.0546843
+0.0559432
+0.0628275
+0.0616073
+0.0604225
+0.0592666
+0.0581048
+0.0569913
+0.0558747
+0.0547853
+0.053635
+0.0524922
+0.0513221
+0.0501706
+0.0490841
+0.0480729
+0.0471403
+0.0454923
+0.0433268
+0.041164
+0.0390043
+0.0368482
+0.0346965
+0.03255
+0.0304098
+0.0282773
+0.0261544
+0.0240437
+0.0219487
+0.0198744
+0.0178239
+0.0157964
+0.0138166
+0.0119109
+0.0101211
+0.00822253
+0.00640519
+0.00480185
+0.00339135
+0.00236855
+0.0016225
+-0.000350969
+-0.00117343
+-0.00118582
+-0.000754342
+-0.000472573
+-0.000157013
+0.000624474
+0.00196367
+0.0038834
+0.00596364
+0.00810057
+0.0102554
+0.0124227
+0.0145971
+0.0167757
+0.018957
+0.0211403
+0.023325
+0.0255108
+0.0276973
+0.0298844
+0.032072
+0.03426
+0.0364483
+0.0386369
+0.040825
+0.0399732
+0.0392234
+0.0385109
+0.0378411
+0.0372882
+0.0368574
+0.0365427
+0.0362654
+0.0360675
+0.0360008
+0.0360262
+0.0360982
+0.0363025
+0.0366369
+0.0370979
+0.0376774
+0.0382556
+0.0389486
+0.039686
+0.0401779
+0.0407817
+0.0414925
+0.0423049
+0.0432015
+0.044179
+0.0451056
+0.0459289
+0.0468402
+0.0478007
+0.0488355
+0.0499255
+0.051069
+0.0522789
+0.053497
+0.0547673
+0.0613974
+0.0602186
+0.0590106
+0.0578549
+0.0567019
+0.0555725
+0.0544922
+0.0534481
+0.0523049
+0.0510769
+0.0498737
+0.0487316
+0.0476456
+0.0466032
+0.045641
+0.0447475
+0.0433706
+0.0412101
+0.0390529
+0.0368997
+0.0347511
+0.0326082
+0.0304721
+0.0283401
+0.0262086
+0.0240878
+0.0219806
+0.0198915
+0.0178268
+0.0157961
+0.0137209
+0.0116775
+0.00969612
+0.00772258
+0.00589138
+0.00426512
+0.00309283
+0.00216597
+0.000958269
+-6.89458e-05
+-0.000684708
+-0.00198127
+-0.00164864
+0.000102382
+0.000405058
+0.000763315
+0.00222925
+0.0041754
+0.00620447
+0.00828276
+0.0104073
+0.0125545
+0.0147146
+0.0168826
+0.0190552
+0.0212298
+0.0234062
+0.025585
+0.0277656
+0.0299478
+0.0320891
+0.034098
+0.0360826
+0.0380821
+0.0396879
+0.0389544
+0.0381706
+0.037391
+0.0367257
+0.0361504
+0.0356618
+0.035294
+0.0350421
+0.0348638
+0.0348065
+0.0347712
+0.0348724
+0.0351104
+0.0354796
+0.0359554
+0.0365253
+0.0371254
+0.0378348
+0.038548
+0.0390543
+0.0396751
+0.0404054
+0.041227
+0.0421365
+0.0431081
+0.0438743
+0.0447121
+0.0456218
+0.0465984
+0.0476381
+0.0487463
+0.0499017
+0.0511209
+0.0523578
+0.0536551
+0.0598852
+0.058746
+0.0576242
+0.0564641
+0.0553414
+0.054193
+0.0530979
+0.0520575
+0.051019
+0.0497179
+0.0484809
+0.0473053
+0.046198
+0.04517
+0.0441939
+0.0432763
+0.0424458
+0.0413317
+0.0391721
+0.0370161
+0.0348644
+0.0327179
+0.0305777
+0.0284452
+0.0263222
+0.0242113
+0.0221026
+0.0199558
+0.0178196
+0.0156985
+0.0135994
+0.0115345
+0.00952598
+0.00760151
+0.00579962
+0.0042655
+0.00301313
+0.00205115
+0.000563762
+-1.79416e-05
+-0.000923368
+-0.00257631
+-0.00205056
+-0.000201482
+0.00160534
+0.00173826
+0.00298957
+0.00481014
+0.00681718
+0.00883506
+0.0108973
+0.0130015
+0.0151071
+0.0172257
+0.0193604
+0.0215064
+0.0234058
+0.0253456
+0.0273234
+0.0293315
+0.031341
+0.0333418
+0.0353606
+0.0373987
+0.0386263
+0.0378679
+0.0370985
+0.0362939
+0.0355968
+0.034981
+0.0344923
+0.0341225
+0.033865
+0.0336805
+0.0336173
+0.0335819
+0.0336868
+0.033933
+0.0343176
+0.034836
+0.0354212
+0.0360396
+0.0367617
+0.0375036
+0.0380237
+0.0386611
+0.0393974
+0.040229
+0.0411488
+0.0418872
+0.0426894
+0.0435352
+0.0444514
+0.0454351
+0.0464819
+0.047589
+0.0487676
+0.0499719
+0.0512292
+0.0525477
+0.0583757
+0.0572315
+0.0561046
+0.055042
+0.0539403
+0.0528591
+0.051748
+0.050691
+0.0496968
+0.0484199
+0.0471489
+0.0459392
+0.0447982
+0.0437372
+0.0427623
+0.0418597
+0.0410091
+0.0402512
+0.0393702
+0.0372257
+0.0350869
+0.0329549
+0.0308227
+0.0286624
+0.0265072
+0.0243583
+0.0222176
+0.0200876
+0.0179693
+0.0158641
+0.0137855
+0.0117478
+0.00975452
+0.00780989
+0.00598627
+0.0043815
+0.00313882
+0.00155167
+0.000438232
+-0.000140899
+-0.000468132
+-0.00187018
+-0.00192574
+-0.000980541
+0.000225773
+0.00216336
+0.00427692
+0.00578302
+0.00758854
+0.00955158
+0.0115219
+0.0134227
+0.0150967
+0.0168893
+0.0187368
+0.0206505
+0.0226144
+0.0246167
+0.026644
+0.0286407
+0.0306397
+0.0326293
+0.0346282
+0.0365855
+0.0373653
+0.0364796
+0.035693
+0.0350207
+0.0344322
+0.0338869
+0.0333806
+0.0330123
+0.0327122
+0.0325211
+0.0324433
+0.0324327
+0.0325698
+0.0328527
+0.0332322
+0.0337122
+0.0343183
+0.0349859
+0.0357627
+0.0365574
+0.0370906
+0.0377338
+0.0384768
+0.0393279
+0.0399866
+0.0407461
+0.0415149
+0.0423783
+0.0432837
+0.0442527
+0.0453054
+0.0464097
+0.0475743
+0.0487953
+0.0500821
+0.0514301
+0.0568946
+0.0557582
+0.0546047
+0.0535123
+0.0524886
+0.0514112
+0.0503857
+0.0493764
+0.0483628
+0.0471828
+0.0458775
+0.0446388
+0.0434637
+0.0423693
+0.0413621
+0.0404486
+0.039618
+0.0388553
+0.038182
+0.0375121
+0.0353533
+0.0331988
+0.0310493
+0.0289061
+0.0267704
+0.0246445
+0.022516
+0.0203837
+0.0182652
+0.016166
+0.0140946
+0.0120495
+0.0100264
+0.008062
+0.00624987
+0.0047061
+0.0032528
+0.0016778
+0.000705941
+0.00070456
+0.000998641
+-0.000634074
+-0.00167102
+-0.00145013
+-4.40168e-05
+0.00146943
+0.00311462
+0.0050603
+0.00691855
+0.00882886
+0.010767
+0.0124125
+0.014206
+0.0160771
+0.0180069
+0.0199906
+0.0220135
+0.0239655
+0.0259277
+0.02792
+0.0299255
+0.031912
+0.0338845
+0.0358824
+0.036035
+0.0351463
+0.0343516
+0.0336609
+0.0330889
+0.0325416
+0.0320774
+0.0316681
+0.031391
+0.0312513
+0.0311457
+0.0311347
+0.0312774
+0.0315719
+0.0319553
+0.0324544
+0.0330909
+0.0338484
+0.0346878
+0.0355573
+0.036244
+0.0369018
+0.0376592
+0.0381896
+0.0388365
+0.0395399
+0.0402896
+0.0411423
+0.0420505
+0.0430472
+0.044113
+0.0452464
+0.0464403
+0.0476903
+0.0490062
+0.0503408
+0.0554606
+0.0542941
+0.0531483
+0.0520253
+0.0509717
+0.0499728
+0.0489476
+0.0479758
+0.0470713
+0.0460088
+0.0446693
+0.043399
+0.0422008
+0.0410728
+0.040033
+0.0390884
+0.038229
+0.0374627
+0.0368064
+0.0362476
+0.0356859
+0.0335338
+0.0313855
+0.0292435
+0.0271092
+0.0249848
+0.0228728
+0.0207772
+0.0186888
+0.0165935
+0.0145264
+0.0125015
+0.0105413
+0.00865871
+0.00695375
+0.0054902
+0.00366602
+0.00217082
+0.00122989
+0.00105788
+0.00176733
+0.0003631
+-0.00117559
+-0.00105256
+-0.000845813
+0.000711193
+0.00252275
+0.00415639
+0.00613462
+0.00817663
+0.00996864
+0.0117149
+0.0135905
+0.0155323
+0.0174893
+0.0193645
+0.0212972
+0.0232664
+0.025272
+0.0273056
+0.0292718
+0.0312574
+0.0332687
+0.0353014
+0.0347572
+0.0338381
+0.0330338
+0.0323439
+0.0317795
+0.0311928
+0.0307379
+0.0303105
+0.0300373
+0.0299119
+0.0299261
+0.0299408
+0.0300892
+0.0303935
+0.0307621
+0.0312803
+0.0319405
+0.0327344
+0.0335724
+0.0344186
+0.0353804
+0.0360946
+0.0365165
+0.0370633
+0.037655
+0.0383163
+0.0390894
+0.0399519
+0.0408835
+0.0418965
+0.0429582
+0.0441033
+0.0453254
+0.0466086
+0.0478866
+0.0491817
+0.0540641
+0.0528803
+0.0517302
+0.0505757
+0.0494912
+0.0484681
+0.0474729
+0.0465122
+0.0455898
+0.0447557
+0.0435378
+0.0422335
+0.0410049
+0.0398438
+0.0387653
+0.0377819
+0.0369017
+0.0361159
+0.0354395
+0.0348741
+0.0344367
+0.0339162
+0.0317938
+0.0296812
+0.0275809
+0.0254728
+0.0233697
+0.0212843
+0.0192223
+0.0171922
+0.0151905
+0.0132415
+0.0113808
+0.0096595
+0.00816624
+0.0064083
+0.00478671
+0.00345009
+0.00247715
+0.0021607
+0.00307329
+0.00157937
+0.000327734
+-0.00100042
+-0.000360881
+0.000499053
+0.00213807
+0.00394736
+0.00571715
+0.00750469
+0.00922964
+0.0110724
+0.0129968
+0.0149517
+0.0168086
+0.0187373
+0.0207181
+0.0227375
+0.024769
+0.02673
+0.0287242
+0.0307452
+0.032788
+0.0345181
+0.0335018
+0.0325792
+0.0317739
+0.031078
+0.0304181
+0.0298362
+0.0293844
+0.0290436
+0.0287583
+0.0286383
+0.0286703
+0.0288223
+0.0289947
+0.0292928
+0.0296829
+0.0302195
+0.0308785
+0.0316108
+0.0324443
+0.0333192
+0.0343118
+0.0349812
+0.0353897
+0.0358761
+0.0364557
+0.0371059
+0.0378717
+0.0387386
+0.0396977
+0.0407485
+0.0418281
+0.0429888
+0.0442277
+0.0455083
+0.0467666
+0.0480918
+0.0527203
+0.0515043
+0.0502862
+0.0491356
+0.0480519
+0.0469716
+0.0459704
+0.0450474
+0.044138
+0.0432758
+0.0424751
+0.0411518
+0.0398885
+0.0386874
+0.0375755
+0.0365599
+0.0356495
+0.0348532
+0.0341533
+0.033574
+0.0331194
+0.0327814
+0.0319897
+0.0302147
+0.0281249
+0.0260517
+0.0239993
+0.0219661
+0.0199575
+0.0179915
+0.0160836
+0.0142572
+0.0125481
+0.0110108
+0.00936654
+0.00771572
+0.00629346
+0.00514672
+0.00422372
+0.00397925
+0.00430312
+0.00286099
+0.00104172
+0.000831105
+-0.000341254
+0.00125344
+0.0023608
+0.00390976
+0.00552187
+0.00705375
+0.00882485
+0.0107373
+0.0126219
+0.0144512
+0.0163644
+0.0183399
+0.0203594
+0.0223597
+0.0243176
+0.0263123
+0.0283359
+0.0303828
+0.0324484
+0.0333411
+0.0322898
+0.0313544
+0.0304926
+0.0297097
+0.0290345
+0.0285057
+0.0280722
+0.0277967
+0.027574
+0.0274488
+0.0274138
+0.0275133
+0.0277418
+0.0280877
+0.0284861
+0.0290447
+0.0297545
+0.0305374
+0.0314286
+0.032331
+0.033353
+0.0338282
+0.0342714
+0.0347205
+0.0352667
+0.0359383
+0.0367253
+0.0376082
+0.0385953
+0.0396397
+0.0407451
+0.0419268
+0.0431543
+0.0443931
+0.0457025
+0.0470773
+0.0513597
+0.0501245
+0.0488726
+0.0476878
+0.0465761
+0.0455314
+0.0444978
+0.04355
+0.0426936
+0.0418385
+0.0410051
+0.0400032
+0.0388391
+0.0376024
+0.0364556
+0.0354072
+0.0344664
+0.0336422
+0.0329432
+0.032349
+0.0318944
+0.0315178
+0.0307307
+0.0300238
+0.0288141
+0.0267815
+0.0247759
+0.0228044
+0.0208766
+0.0190059
+0.0172108
+0.0155177
+0.0139636
+0.0123703
+0.0107322
+0.00925989
+0.00801105
+0.00697872
+0.00622183
+0.00603462
+0.00549959
+0.00395174
+0.00248744
+0.00116589
+0.00149857
+0.00102888
+0.00236869
+0.00375115
+0.00533737
+0.00712243
+0.00895302
+0.0106706
+0.0124168
+0.0142724
+0.0162067
+0.0181993
+0.0201292
+0.0220758
+0.0240538
+0.026065
+0.0281031
+0.0301486
+0.0312107
+0.0319114
+0.0311124
+0.0300985
+0.0291617
+0.0283635
+0.0277089
+0.0271543
+0.026768
+0.0265139
+0.0263155
+0.0261901
+0.0261354
+0.0262445
+0.0265185
+0.0268305
+0.0272473
+0.0278308
+0.0285707
+0.0294554
+0.0303858
+0.0313349
+0.032349
+0.032757
+0.0331569
+0.0335927
+0.0341637
+0.0348459
+0.0356408
+0.0365423
+0.0375328
+0.0385914
+0.0397143
+0.0408494
+0.0420438
+0.0433134
+0.0446544
+0.0460605
+0.0500293
+0.0487997
+0.0475176
+0.0462985
+0.0451526
+0.0440858
+0.0430864
+0.0421067
+0.04121
+0.0403768
+0.0395881
+0.0386263
+0.0375271
+0.0365263
+0.035433
+0.0343535
+0.033383
+0.0325313
+0.031808
+0.0312203
+0.0307507
+0.0303299
+0.0295208
+0.028838
+0.0281853
+0.0276474
+0.0257094
+0.0238153
+0.0219763
+0.0202077
+0.0185294
+0.0169684
+0.0154114
+0.013784
+0.0122902
+0.0109833
+0.0099009
+0.00893036
+0.00831749
+0.00814414
+0.00660719
+0.00499714
+0.0035305
+0.00289794
+0.00255891
+0.00246654
+0.00266413
+0.00385432
+0.00562396
+0.00735757
+0.00908401
+0.0108777
+0.0125951
+0.0144278
+0.0162385
+0.0180895
+0.0200092
+0.0219673
+0.0239534
+0.0259724
+0.0279606
+0.0285219
+0.0291311
+0.0298806
+0.0299078
+0.0288631
+0.0279393
+0.0271051
+0.0264141
+0.0258675
+0.025498
+0.0252825
+0.025086
+0.0249988
+0.0249467
+0.0250567
+0.0252707
+0.0256652
+0.0261004
+0.0267087
+0.0274788
+0.0283973
+0.0293986
+0.0303819
+0.031043
+0.0317408
+0.0320838
+0.0325373
+0.0331082
+0.0338021
+0.0346184
+0.0355043
+0.0364986
+0.0375732
+0.0386413
+0.0397829
+0.0410098
+0.0423146
+0.0436887
+0.0449972
+0.0487432
+0.047529
+0.0462219
+0.0449679
+0.0437872
+0.0426863
+0.0416715
+0.040688
+0.0397557
+0.0389084
+0.0381681
+0.0373196
+0.0361884
+0.0351495
+0.0342196
+0.0334024
+0.0324116
+0.0315337
+0.0307869
+0.03018
+0.0297069
+0.0291613
+0.0284002
+0.0277096
+0.0270815
+0.0265446
+0.0260256
+0.0249779
+0.0232311
+0.0215656
+0.0200016
+0.0184715
+0.0168526
+0.0153477
+0.0139971
+0.0128218
+0.0117977
+0.0109462
+0.0104476
+0.00938489
+0.0078913
+0.00632896
+0.00520457
+0.00417507
+0.00386789
+0.00348428
+0.00386351
+0.00484806
+0.00614148
+0.00763135
+0.00931561
+0.0111768
+0.0128686
+0.0146194
+0.0163851
+0.0182211
+0.0201283
+0.0220758
+0.0240186
+0.0255842
+0.0259114
+0.0264127
+0.027069
+0.027874
+0.0287705
+0.0277339
+0.0267837
+0.025944
+0.0252338
+0.024667
+0.0242793
+0.0240371
+0.0238561
+0.0238284
+0.0237517
+0.0238152
+0.024051
+0.0244708
+0.0250635
+0.0256966
+0.0264962
+0.0274478
+0.0283333
+0.0291559
+0.0297855
+0.0305042
+0.0310152
+0.0315102
+0.0321355
+0.0327871
+0.0335534
+0.034442
+0.0354389
+0.0365049
+0.0375837
+0.0387564
+0.0400149
+0.0412426
+0.0424961
+0.0438086
+0.0475233
+0.0462772
+0.0449956
+0.0437064
+0.0424906
+0.0413552
+0.040307
+0.0392934
+0.0383424
+0.0374804
+0.036719
+0.035966
+0.0348776
+0.033826
+0.0328682
+0.0320221
+0.0312884
+0.0306558
+0.029887
+0.0292625
+0.028706
+0.0280995
+0.0272998
+0.0266035
+0.0260056
+0.0254774
+0.0250347
+0.024593
+0.0243049
+0.0230521
+0.0215424
+0.0199304
+0.0184183
+0.0170299
+0.0158002
+0.0147478
+0.0137715
+0.0130186
+0.0122878
+0.0108663
+0.00930812
+0.00797748
+0.00659376
+0.00571675
+0.00508731
+0.00490056
+0.00531619
+0.00582555
+0.00684914
+0.00818812
+0.00958573
+0.0112395
+0.0130523
+0.014923
+0.016786
+0.0186115
+0.0204823
+0.0222752
+0.0232647
+0.02342
+0.023777
+0.0243175
+0.0250287
+0.0258972
+0.026915
+0.0266129
+0.0256921
+0.0248604
+0.0241795
+0.0235979
+0.0231523
+0.0228372
+0.0226762
+0.0225307
+0.0225678
+0.0226555
+0.0229295
+0.0233755
+0.0239972
+0.0246984
+0.0255376
+0.0263209
+0.0272544
+0.0278964
+0.0285418
+0.0292908
+0.0299531
+0.0304644
+0.0310683
+0.0317191
+0.0325048
+0.0334158
+0.0344397
+0.0355188
+0.0366267
+0.0377272
+0.0388573
+0.0400331
+0.0412559
+0.0425547
+0.0463749
+0.0450971
+0.0438437
+0.0425204
+0.0412697
+0.0400997
+0.0390178
+0.0379741
+0.0369892
+0.0361105
+0.0353253
+0.0345966
+0.0335037
+0.0325219
+0.031569
+0.0307162
+0.0299699
+0.0293449
+0.0288265
+0.0280412
+0.0273792
+0.0268465
+0.0261072
+0.0253864
+0.02483
+0.0244025
+0.0240116
+0.0236013
+0.0233591
+0.0232795
+0.0230136
+0.0214951
+0.0200827
+0.0188172
+0.0176808
+0.0166631
+0.0157771
+0.0151245
+0.0137263
+0.0123314
+0.010798
+0.00936039
+0.00821984
+0.00719244
+0.00656556
+0.00658278
+0.00669994
+0.00716815
+0.00772848
+0.00872889
+0.010053
+0.0116405
+0.0133992
+0.0152701
+0.0172165
+0.0191693
+0.0208489
+0.0211455
+0.0210899
+0.0212612
+0.0216538
+0.0222406
+0.0230161
+0.0239577
+0.0250544
+0.0254433
+0.024518
+0.023735
+0.0230369
+0.0224425
+0.0219838
+0.0216516
+0.0214738
+0.0213422
+0.0213607
+0.0214315
+0.0217089
+0.022173
+0.0228387
+0.0235987
+0.0243873
+0.0252034
+0.0261763
+0.0267572
+0.0274109
+0.0281899
+0.0289203
+0.0293963
+0.0299734
+0.0306507
+0.0314631
+0.0324035
+0.0334611
+0.0345224
+0.0355054
+0.0365211
+0.0375772
+0.0387082
+0.0399275
+0.0412133
+0.0453019
+0.0439945
+0.0427533
+0.0414155
+0.0401313
+0.0389272
+0.0378117
+0.0367381
+0.0357192
+0.0348084
+0.0340139
+0.0332495
+0.0321777
+0.0311541
+0.0302547
+0.0294549
+0.028707
+0.0280783
+0.0276095
+0.0267904
+0.0260973
+0.0255736
+0.0249458
+0.0242594
+0.0236809
+0.0231572
+0.0228067
+0.0226635
+0.0224842
+0.0224495
+0.0225721
+0.0228941
+0.0218398
+0.0206556
+0.0196169
+0.0186377
+0.0178264
+0.0166479
+0.0152096
+0.0137387
+0.0122545
+0.0110074
+0.00978556
+0.00885317
+0.00835188
+0.0081794
+0.00825806
+0.00830548
+0.00874471
+0.00965331
+0.0109234
+0.0124208
+0.0140824
+0.0158729
+0.0176595
+0.0194553
+0.0192922
+0.0189809
+0.0189189
+0.0191096
+0.0195451
+0.0201878
+0.0210391
+0.0220652
+0.0232491
+0.0242536
+0.0233183
+0.0225191
+0.0218943
+0.0213218
+0.0208478
+0.0204703
+0.0202585
+0.0200877
+0.0201285
+0.0202034
+0.0205129
+0.0210061
+0.0217072
+0.0224601
+0.0233032
+0.0241793
+0.0251879
+0.0257399
+0.0264136
+0.0272211
+0.0278118
+0.0282972
+0.0289407
+0.0296563
+0.0304952
+0.0314645
+0.032475
+0.0332516
+0.0341245
+0.0350937
+0.0361697
+0.0373433
+0.0385971
+0.0398862
+0.0442921
+0.0429741
+0.0417084
+0.0403788
+0.0390821
+0.0378452
+0.0366968
+0.03559
+0.0345415
+0.0335989
+0.0327757
+0.0317388
+0.0307817
+0.0298844
+0.0289456
+0.0281297
+0.027448
+0.026893
+0.026286
+0.0255008
+0.0248246
+0.0242741
+0.0237721
+0.0232535
+0.0225737
+0.0219956
+0.0216249
+0.0214725
+0.021543
+0.0216716
+0.0218252
+0.0221686
+0.0222241
+0.0224181
+0.0215435
+0.02064
+0.0196235
+0.0181563
+0.0167362
+0.0152291
+0.0139049
+0.0125732
+0.0114675
+0.010683
+0.0101824
+0.00986742
+0.00983812
+0.00974954
+0.0101263
+0.0109375
+0.012074
+0.0134727
+0.0150342
+0.0165482
+0.0181905
+0.0176036
+0.0171666
+0.0168229
+0.016753
+0.016968
+0.0174505
+0.0181672
+0.0191088
+0.020233
+0.0215122
+0.0225416
+0.0222446
+0.0214317
+0.0207779
+0.0202062
+0.0197333
+0.0193215
+0.0190838
+0.0189097
+0.018896
+0.0189758
+0.0193055
+0.0198525
+0.0205652
+0.0212882
+0.0222047
+0.0231243
+0.0241565
+0.0248689
+0.0255613
+0.0263597
+0.0267651
+0.0272692
+0.0279364
+0.0287419
+0.0296398
+0.030375
+0.0310505
+0.0318244
+0.0327151
+0.0337248
+0.0348431
+0.0360517
+0.0373245
+0.0386372
+0.0433696
+0.0420226
+0.040749
+0.0394353
+0.0381084
+0.0368435
+0.0356625
+0.0345424
+0.033462
+0.0324921
+0.0314004
+0.030284
+0.0292795
+0.0284062
+0.0276529
+0.0268845
+0.0261704
+0.0256241
+0.0250338
+0.0242042
+0.0235155
+0.0229589
+0.0225491
+0.022209
+0.0215824
+0.0209771
+0.0205881
+0.020428
+0.020502
+0.0207201
+0.021105
+0.021102
+0.0212471
+0.0216145
+0.0221188
+0.0226318
+0.0211464
+0.0197648
+0.0182448
+0.0168299
+0.01543
+0.014231
+0.0132876
+0.012496
+0.0119277
+0.0117108
+0.0114432
+0.0114315
+0.0117564
+0.012462
+0.0134849
+0.0147012
+0.0159557
+0.0172629
+0.0163264
+0.0156427
+0.0150596
+0.0146747
+0.0145945
+0.0148408
+0.0153825
+0.016191
+0.0172408
+0.0184727
+0.0198653
+0.0204253
+0.0211002
+0.0203987
+0.019625
+0.0190299
+0.018561
+0.0182155
+0.0179759
+0.0178207
+0.0177735
+0.017878
+0.0182276
+0.0187887
+0.0194724
+0.0202139
+0.0211331
+0.0221353
+0.023202
+0.0241119
+0.0247654
+0.0254711
+0.0258151
+0.0263374
+0.0270277
+0.0278514
+0.0284579
+0.0289989
+0.0296699
+0.0304662
+0.0313954
+0.0324461
+0.0335993
+0.0348075
+0.0360833
+0.0374395
+0.0425303
+0.0411557
+0.0398543
+0.0385932
+0.0372363
+0.0359393
+0.0347275
+0.0335669
+0.0324771
+0.0312857
+0.0300321
+0.0288905
+0.0278531
+0.0269376
+0.0261553
+0.0255238
+0.0250166
+0.0244477
+0.0238662
+0.0230088
+0.0222878
+0.0217535
+0.0213067
+0.021078
+0.020719
+0.0201143
+0.0197083
+0.019541
+0.0196165
+0.0198425
+0.0201415
+0.0201265
+0.0202685
+0.0206428
+0.0212051
+0.02191
+0.022729
+0.0212842
+0.0197868
+0.018351
+0.0170763
+0.0160012
+0.0150342
+0.0142712
+0.013777
+0.0135849
+0.0132176
+0.0132083
+0.0135073
+0.0141377
+0.0149013
+0.0158985
+0.016794
+0.0155644
+0.0145244
+0.0137408
+0.0129803
+0.0125412
+0.0124472
+0.0127352
+0.0133536
+0.0142774
+0.0154565
+0.0168135
+0.0178165
+0.0183266
+0.0190425
+0.0193903
+0.018548
+0.017928
+0.0173965
+0.0170762
+0.0168571
+0.0167627
+0.0166634
+0.0168109
+0.0171304
+0.0177031
+0.0184282
+0.019184
+0.0201506
+0.0211749
+0.0223121
+0.0234085
+0.0241129
+0.0245467
+0.0248661
+0.0253123
+0.0258715
+0.0265899
+0.0271372
+0.0276908
+0.0283777
+0.0292092
+0.0301772
+0.0312346
+0.0323786
+0.0336034
+0.0349185
+0.0363182
+0.0417764
+0.0403762
+0.0390488
+0.0378018
+0.0364749
+0.0351484
+0.0339084
+0.0326917
+0.0314751
+0.0300702
+0.0287637
+0.0275696
+0.0265006
+0.025541
+0.024738
+0.0240776
+0.023588
+0.0232282
+0.0228135
+0.0219468
+0.0212021
+0.0206411
+0.0201828
+0.0198977
+0.019749
+0.0194463
+0.0190261
+0.0188527
+0.0189329
+0.0191762
+0.0193789
+0.019301
+0.0194596
+0.0198278
+0.0204116
+0.021128
+0.0218733
+0.0217378
+0.0213221
+0.0199968
+0.0188338
+0.017751
+0.0168268
+0.0161487
+0.0157137
+0.0154242
+0.0151017
+0.0150935
+0.0153425
+0.0157134
+0.0163715
+0.0159748
+0.0153002
+0.013929
+0.0127129
+0.0117431
+0.0109446
+0.0104314
+0.0103182
+0.0106623
+0.0113848
+0.0124555
+0.0137824
+0.0152844
+0.0156749
+0.0162521
+0.0170089
+0.0179484
+0.0176445
+0.0169432
+0.0163736
+0.0160385
+0.0158679
+0.0157533
+0.0156688
+0.0157927
+0.0161673
+0.0167735
+0.0174712
+0.0182927
+0.0191527
+0.0201747
+0.021373
+0.0225197
+0.023214
+0.0233506
+0.0236469
+0.024059
+0.024625
+0.0253681
+0.0259204
+0.0264877
+0.0272008
+0.0280341
+0.0290037
+0.030073
+0.0312341
+0.0324974
+0.0338555
+0.0352856
+0.0411255
+0.0397024
+0.0383516
+0.0370812
+0.0358272
+0.0344789
+0.0331953
+0.0319155
+0.0303998
+0.0289685
+0.0276098
+0.0263623
+0.0252431
+0.0242332
+0.0233853
+0.0227177
+0.022233
+0.0218957
+0.0217363
+0.020985
+0.0202327
+0.0196442
+0.019151
+0.0188694
+0.0188178
+0.0188377
+0.0185446
+0.0183666
+0.0184489
+0.0187436
+0.0187544
+0.0186622
+0.0188262
+0.0192046
+0.0197615
+0.0204912
+0.0210046
+0.0208049
+0.0207433
+0.0206375
+0.0205743
+0.01954
+0.0187044
+0.0180968
+0.0177075
+0.0173453
+0.0170592
+0.0169708
+0.0165176
+0.0153651
+0.0144546
+0.0138341
+0.0134495
+0.0122428
+0.0109159
+0.00980286
+0.00898211
+0.00836328
+0.00822173
+0.00863592
+0.00951356
+0.0107709
+0.0122565
+0.0131978
+0.0135487
+0.0141871
+0.0150196
+0.0160325
+0.0169306
+0.0161682
+0.0155699
+0.0151873
+0.014978
+0.0148368
+0.0148595
+0.0149691
+0.0153849
+0.0159419
+0.0165778
+0.0173912
+0.0182497
+0.0193195
+0.0205677
+0.0216416
+0.0220673
+0.0221651
+0.0224771
+0.0228975
+0.0234915
+0.0242514
+0.0248375
+0.0253747
+0.026079
+0.0269269
+0.027904
+0.0289953
+0.0301936
+0.0314988
+0.0328847
+0.0343508
+0.0405826
+0.0391397
+0.0377689
+0.0364781
+0.0352763
+0.0339191
+0.0324739
+0.0309832
+0.0294364
+0.0279615
+0.0265528
+0.0252522
+0.0240809
+0.023055
+0.0221621
+0.0214565
+0.0209572
+0.0206684
+0.0205301
+0.0200858
+0.0194233
+0.0187796
+0.0183096
+0.0180344
+0.0179804
+0.0181776
+0.018298
+0.0181176
+0.018201
+0.0185025
+0.0183595
+0.0182653
+0.0183967
+0.0187705
+0.019329
+0.020034
+0.0202283
+0.0200051
+0.0198909
+0.0199137
+0.0200859
+0.0204233
+0.0205959
+0.0200564
+0.0196313
+0.0191051
+0.0176027
+0.0161619
+0.0147775
+0.0134769
+0.012429
+0.0117017
+0.0112776
+0.0107134
+0.00921272
+0.00796363
+0.0070549
+0.00635981
+0.00619077
+0.00671352
+0.00781025
+0.00925858
+0.0109104
+0.0110494
+0.0114469
+0.0121307
+0.0130516
+0.0141905
+0.0154836
+0.0155897
+0.0149683
+0.0145646
+0.0143516
+0.0141402
+0.0142077
+0.0143424
+0.0146018
+0.0150917
+0.015762
+0.0166199
+0.0175161
+0.0186231
+0.0197679
+0.0206879
+0.0210382
+0.0211408
+0.0214644
+0.0218787
+0.0224942
+0.0232791
+0.0237992
+0.0243525
+0.0250486
+0.0259117
+0.0269055
+0.028022
+0.0292601
+0.0306051
+0.0320298
+0.0335332
+0.040152
+0.0386931
+0.0373058
+0.0359985
+0.0346614
+0.0329949
+0.0313771
+0.0298315
+0.0283711
+0.0269978
+0.0255992
+0.0242692
+0.0230494
+0.0219808
+0.0210619
+0.0203205
+0.0197926
+0.0194828
+0.019384
+0.0193306
+0.0187095
+0.0181398
+0.0176528
+0.0173963
+0.0173645
+0.0175833
+0.0180199
+0.0181317
+0.0182151
+0.0185163
+0.0181838
+0.0180887
+0.0181956
+0.0185234
+0.0188809
+0.0190783
+0.019483
+0.0192854
+0.0191566
+0.0191826
+0.0193839
+0.0198029
+0.0202419
+0.0208728
+0.0193886
+0.0176544
+0.0160166
+0.0145251
+0.0130817
+0.0116948
+0.01047
+0.00959533
+0.00911461
+0.00900038
+0.00770247
+0.00624965
+0.00517617
+0.00453186
+0.00429944
+0.00501617
+0.00635739
+0.00801907
+0.00876926
+0.00890291
+0.00937645
+0.0101309
+0.0111547
+0.0124115
+0.0137994
+0.0152743
+0.0146399
+0.0141952
+0.0139389
+0.013718
+0.01369
+0.013714
+0.0139623
+0.0143537
+0.0150054
+0.0157568
+0.0166994
+0.0178211
+0.0190226
+0.0198299
+0.0201645
+0.0202887
+0.0205938
+0.0210253
+0.0216651
+0.0224789
+0.0228957
+0.0234309
+0.0241535
+0.0250256
+0.0260385
+0.0271906
+0.0284649
+0.0298458
+0.031305
+0.0328417
+0.0397738
+0.0383666
+0.036967
+0.0355063
+0.0337508
+0.0320381
+0.0303867
+0.0288007
+0.0272852
+0.0258666
+0.0245535
+0.023342
+0.0221626
+0.021049
+0.0200895
+0.0193109
+0.0187546
+0.0184273
+0.0183229
+0.0184595
+0.0180494
+0.0175875
+0.0172228
+0.0169885
+0.0169859
+0.017234
+0.0176978
+0.018339
+0.0184781
+0.0186114
+0.0182575
+0.0181002
+0.0181674
+0.017999
+0.0179524
+0.0181488
+0.0186011
+0.0186771
+0.0186382
+0.0186152
+0.0188468
+0.0193018
+0.0198028
+0.0200584
+0.018175
+0.0163615
+0.0145877
+0.0129326
+0.011445
+0.0100126
+0.00862321
+0.0075372
+0.00695509
+0.0068189
+0.00641374
+0.00478711
+0.00346969
+0.0028952
+0.00279379
+0.00373317
+0.005307
+0.00641373
+0.00663247
+0.00676252
+0.00727987
+0.00815701
+0.00934696
+0.010705
+0.012268
+0.0139968
+0.0145733
+0.0141012
+0.0137677
+0.0135441
+0.0133861
+0.0133351
+0.0135053
+0.0138474
+0.0144022
+0.0151293
+0.0161086
+0.0172183
+0.0183122
+0.0190568
+0.0194353
+0.0195641
+0.0199168
+0.0203726
+0.0210296
+0.0217848
+0.022131
+0.022684
+0.0234062
+0.0242895
+0.0253319
+0.0265147
+0.02782
+0.0292314
+0.0307198
+0.032281
+0.0388198
+0.0379227
+0.036501
+0.0346854
+0.0329155
+0.0311919
+0.0295069
+0.0278779
+0.0263304
+0.0248644
+0.023504
+0.0222725
+0.0211575
+0.0202191
+0.0193057
+0.0185067
+0.0179254
+0.0175827
+0.0174233
+0.0175349
+0.017524
+0.0172099
+0.0169364
+0.016808
+0.0168552
+0.0171105
+0.0176074
+0.0183196
+0.018955
+0.0189385
+0.0185297
+0.0180625
+0.0175358
+0.0172412
+0.0172212
+0.0174275
+0.0178726
+0.0181703
+0.0182417
+0.0182941
+0.0185298
+0.0189837
+0.0195341
+0.0191179
+0.0171392
+0.0152187
+0.0133555
+0.0115378
+0.00985745
+0.00835172
+0.00694416
+0.0055809
+0.00480559
+0.00464608
+0.00457901
+0.00363903
+0.00212822
+0.001249
+0.00169765
+0.00299924
+0.00365467
+0.00464946
+0.00454597
+0.00465326
+0.00525933
+0.00629323
+0.00761357
+0.00918036
+0.0109585
+0.0128448
+0.0146617
+0.0142742
+0.0139124
+0.0136033
+0.0132911
+0.0131442
+0.0132347
+0.0135093
+0.0140578
+0.0147952
+0.0156886
+0.0167003
+0.0173254
+0.0180899
+0.0189329
+0.0190651
+0.0194269
+0.0199405
+0.0205916
+0.0212073
+0.0215623
+0.0221047
+0.0228286
+0.0237334
+0.0247992
+0.0260063
+0.0273358
+0.0287604
+0.0302578
+0.0318355
+0.0378976
+0.0370004
+0.0358143
+0.0339728
+0.0321685
+0.0304099
+0.0287109
+0.0270589
+0.0254768
+0.0239888
+0.0225763
+0.0212959
+0.0201727
+0.0191966
+0.0183689
+0.0177486
+0.0172649
+0.0168698
+0.016703
+0.0168193
+0.0171363
+0.0169437
+0.016865
+0.0168026
+0.0169585
+0.017261
+0.0177537
+0.0184944
+0.0194101
+0.0190521
+0.0181692
+0.0174186
+0.0168945
+0.0166333
+0.0166138
+0.0168811
+0.0173908
+0.0178336
+0.0179745
+0.0181909
+0.0184279
+0.0188752
+0.0194532
+0.0183892
+0.0163251
+0.0142956
+0.0123215
+0.0103868
+0.00852229
+0.00680322
+0.00526305
+0.00384729
+0.00267013
+0.00250132
+0.00298307
+0.00173001
+0.000986561
+-0.000288017
+0.000284836
+0.00148656
+0.00199928
+0.00251855
+0.00244648
+0.00257932
+0.0032699
+0.00453137
+0.00610343
+0.00796408
+0.00981673
+0.0116938
+0.0136646
+0.0147501
+0.0143435
+0.0138605
+0.0134843
+0.0132337
+0.0132125
+0.0134257
+0.0138419
+0.0144174
+0.0152291
+0.015873
+0.0164268
+0.0171993
+0.0181452
+0.0188096
+0.0191762
+0.0197405
+0.0203809
+0.0208334
+0.0211797
+0.0217143
+0.0224509
+0.0233703
+0.0244519
+0.0256753
+0.0270079
+0.0284288
+0.0299428
+0.0315363
+0.0369707
+0.0361679
+0.0352207
+0.0333632
+0.0315328
+0.0297383
+0.0279984
+0.0263259
+0.0247345
+0.0232021
+0.0217811
+0.0204943
+0.0193246
+0.0183223
+0.0174538
+0.0168263
+0.01642
+0.0162929
+0.0161939
+0.0163139
+0.0167225
+0.0168301
+0.0169089
+0.0170199
+0.017234
+0.0176378
+0.018165
+0.0188895
+0.0196338
+0.0185818
+0.0177011
+0.0169589
+0.0164302
+0.016173
+0.0161582
+0.0164329
+0.0169879
+0.0176746
+0.0178408
+0.018217
+0.0185762
+0.0190049
+0.0195906
+0.0178751
+0.0157508
+0.0136475
+0.0115767
+0.00955118
+0.00752308
+0.00556664
+0.00381958
+0.00219856
+0.00075787
+0.000401549
+0.000888944
+0.000216823
+-0.000554767
+-0.00127962
+-0.00121544
+-0.000356415
+0.000685847
+0.000428033
+0.000331709
+0.000480236
+0.00146027
+0.0030694
+0.00501477
+0.0068516
+0.00881612
+0.0108674
+0.0129645
+0.0150881
+0.0150346
+0.0143835
+0.0139183
+0.01357
+0.013474
+0.0134042
+0.013666
+0.0142067
+0.0148793
+0.0151666
+0.0157484
+0.0165432
+0.0174955
+0.0186426
+0.0191741
+0.0197407
+0.0203811
+0.0206525
+0.0209744
+0.0215141
+0.0222573
+0.0231844
+0.0242743
+0.0255062
+0.0268339
+0.0282636
+0.029786
+0.0313875
+0.0359707
+0.0351737
+0.0344863
+0.0328353
+0.0309897
+0.0291918
+0.0274333
+0.0257241
+0.0240929
+0.0225568
+0.0211364
+0.0198107
+0.0186437
+0.017634
+0.0167552
+0.0161009
+0.0157049
+0.015572
+0.0157248
+0.016092
+0.0164626
+0.0167818
+0.0170782
+0.0173911
+0.0177189
+0.0181854
+0.0187806
+0.019524
+0.0194263
+0.0183367
+0.0174437
+0.0167455
+0.0162098
+0.015949
+0.0159492
+0.0162275
+0.0167885
+0.0175564
+0.0179511
+0.018335
+0.0189223
+0.0193498
+0.0197865
+0.0176203
+0.015461
+0.013312
+0.0111792
+0.00907396
+0.00702124
+0.00490831
+0.00284109
+0.00110199
+-0.000554469
+-0.00167074
+-0.0012801
+-0.00119738
+-0.00225381
+-0.00274096
+-0.0030696
+-0.00233312
+-0.00147927
+-0.00169493
+-0.00179127
+-0.00154686
+0.000210502
+0.00211716
+0.0040621
+0.00614891
+0.00826594
+0.0104135
+0.0125285
+0.0145795
+0.0158474
+0.015172
+0.0145913
+0.0140326
+0.0135992
+0.0134598
+0.0136745
+0.0141687
+0.0143119
+0.0146043
+0.0151546
+0.0159886
+0.0170335
+0.0182465
+0.0193979
+0.0199586
+0.0205677
+0.0206598
+0.02098
+0.0215196
+0.0222626
+0.0231894
+0.0242791
+0.0255108
+0.0268383
+0.0282678
+0.0297899
+0.0313912
+0.0350258
+0.0342196
+0.0335255
+0.0324281
+0.0305652
+0.0287485
+0.026982
+0.025279
+0.0236377
+0.0220699
+0.020616
+0.0193017
+0.0181272
+0.0171155
+0.016239
+0.0156107
+0.0152429
+0.0151058
+0.0152838
+0.0156971
+0.0163043
+0.0168976
+0.0173212
+0.0178269
+0.0183484
+0.0189011
+0.0195429
+0.0202831
+0.019135
+0.018135
+0.0173179
+0.0167065
+0.0162426
+0.0160243
+0.0160245
+0.0163014
+0.0168367
+0.0175684
+0.0183246
+0.0187008
+0.0193196
+0.0199309
+0.0197821
+0.0176212
+0.015462
+0.0133113
+0.0111762
+0.00901049
+0.00683726
+0.00468034
+0.00258094
+0.000850212
+-0.0012472
+-0.00277749
+-0.00344127
+-0.00316722
+-0.00369026
+-0.00452551
+-0.00508323
+-0.00414893
+-0.00366278
+-0.00379466
+-0.00395366
+-0.00254811
+-0.000612781
+0.00147173
+0.00363817
+0.00568381
+0.00780758
+0.00988806
+0.0120078
+0.0141463
+0.0162886
+0.0160849
+0.0151098
+0.0143943
+0.013956
+0.0138202
+0.0139323
+0.0139477
+0.0139307
+0.0141719
+0.0147383
+0.0155933
+0.0166446
+0.0178985
+0.0193104
+0.0204106
+0.0208068
+0.0208964
+0.021213
+0.0217468
+0.0224823
+0.0234005
+0.0244808
+0.0256718
+0.0269875
+0.0283969
+0.0298893
+0.0314291
+0.0341419
+0.0333452
+0.0326691
+0.032091
+0.0302676
+0.0284366
+0.026652
+0.0249265
+0.0232794
+0.0217285
+0.0202959
+0.0189734
+0.0177939
+0.0168092
+0.0159471
+0.015319
+0.0149836
+0.0149298
+0.0151109
+0.0155466
+0.0162057
+0.017062
+0.0177152
+0.0183718
+0.019037
+0.0197418
+0.0204467
+0.0198888
+0.018717
+0.0177388
+0.0169409
+0.016392
+0.016083
+0.01598
+0.0161333
+0.0165291
+0.0170267
+0.017764
+0.0187234
+0.0193097
+0.0199096
+0.0206831
+0.0199906
+0.017855
+0.0157105
+0.0135765
+0.0114639
+0.00936077
+0.00729268
+0.00532153
+0.00345301
+0.00159518
+-4.00356e-06
+-0.00199923
+-0.00411961
+-0.00517959
+-0.00558524
+-0.0065249
+-0.00711805
+-0.00616791
+-0.00583011
+-0.00582687
+-0.00404924
+-0.00225528
+-0.000446944
+0.0011835
+0.00309217
+0.00521351
+0.00737551
+0.00955058
+0.0117315
+0.0136116
+0.0148929
+0.0163682
+0.0157397
+0.0150343
+0.0145829
+0.0142942
+0.0139539
+0.0137063
+0.0137751
+0.0140189
+0.0145913
+0.0154475
+0.0165027
+0.0177666
+0.0191882
+0.0206972
+0.0212686
+0.0213562
+0.0216661
+0.022189
+0.0229103
+0.0237996
+0.0247995
+0.0259463
+0.0271498
+0.0284641
+0.0298814
+0.0313877
+0.033334
+0.0325176
+0.0318312
+0.0312831
+0.0301027
+0.028261
+0.0264725
+0.0247487
+0.0231042
+0.0215414
+0.0200954
+0.0187942
+0.0176453
+0.0166761
+0.0158379
+0.0152614
+0.0149396
+0.0149241
+0.0151878
+0.0156632
+0.0163328
+0.0172264
+0.0182046
+0.0189594
+0.0198105
+0.0206041
+0.0210165
+0.0197157
+0.0185495
+0.0175625
+0.0167683
+0.0162135
+0.0159429
+0.0158574
+0.0160666
+0.0165147
+0.0172089
+0.0181024
+0.0191467
+0.0201397
+0.0207156
+0.0214599
+0.0202718
+0.0181489
+0.0160401
+0.0139566
+0.0119115
+0.00992884
+0.00805463
+0.00638518
+0.00459835
+0.00250656
+0.000408043
+-0.00165099
+-0.00372743
+-0.00583886
+-0.007577
+-0.0084001
+-0.00903065
+-0.00827329
+-0.00706598
+-0.00531293
+-0.00345178
+-0.00175372
+4.33857e-05
+0.00181643
+0.00341454
+0.005438
+0.00755532
+0.00948905
+0.0106996
+0.0119122
+0.0133575
+0.0148667
+0.0163806
+0.0158188
+0.0151428
+0.0145722
+0.0139964
+0.0137496
+0.0138246
+0.0141925
+0.0147581
+0.0156051
+0.0166493
+0.0178509
+0.0192278
+0.020729
+0.0219299
+0.0220149
+0.0223157
+0.0227848
+0.0233689
+0.0241282
+0.0250294
+0.0260838
+0.0272739
+0.0285825
+0.0299942
+0.0314746
+0.0326409
+0.0318195
+0.0311178
+0.0305573
+0.0300872
+0.0282443
+0.0264544
+0.0247292
+0.0230831
+0.0215343
+0.0201052
+0.0188066
+0.0176828
+0.0167392
+0.0160007
+0.0154351
+0.015153
+0.0151384
+0.0154188
+0.0159769
+0.0167152
+0.0176003
+0.0186579
+0.0197021
+0.020591
+0.0216005
+0.0209669
+0.0196629
+0.018527
+0.0175657
+0.016808
+0.0163115
+0.0160479
+0.0160208
+0.016231
+0.0167011
+0.0174082
+0.0183047
+0.0193831
+0.020635
+0.021684
+0.0224247
+0.0207607
+0.0186935
+0.0166538
+0.0146577
+0.0127259
+0.0108093
+0.00875012
+0.00677393
+0.00480427
+0.00261606
+0.000442052
+-0.00160062
+-0.00369206
+-0.00582075
+-0.00797872
+-0.0101476
+-0.0106967
+-0.00879234
+-0.00704054
+-0.0053961
+-0.00352708
+-0.00167294
+0.000163921
+0.00181537
+0.00352386
+0.00509503
+0.00652979
+0.00780822
+0.00900334
+0.0103983
+0.011939
+0.013424
+0.015082
+0.0161871
+0.0151686
+0.0143917
+0.0138754
+0.0136418
+0.0137186
+0.0140957
+0.0147911
+0.015714
+0.0168628
+0.0180995
+0.0194589
+0.0209434
+0.0225089
+0.0226598
+0.0228304
+0.0232073
+0.0237449
+0.0244647
+0.0253539
+0.0263359
+0.0274474
+0.0286834
+0.0300286
+0.0314658
+0.0319862
+0.0311813
+0.0304891
+0.0299169
+0.0294916
+0.0283746
+0.0265936
+0.024878
+0.0232425
+0.021705
+0.0202879
+0.0190018
+0.0178903
+0.0169898
+0.0162773
+0.0157805
+0.0155292
+0.0155747
+0.0158946
+0.0164696
+0.0172552
+0.0182003
+0.0192482
+0.0204539
+0.0215268
+0.0225325
+0.0211178
+0.0198237
+0.0186976
+0.0177499
+0.0170144
+0.0165325
+0.0163241
+0.0163457
+0.0166079
+0.0171387
+0.0178285
+0.0187077
+0.0197747
+0.0210165
+0.0224002
+0.0223975
+0.0203828
+0.0184084
+0.0163611
+0.01425
+0.0121579
+0.0100985
+0.00810819
+0.00601781
+0.00392943
+0.00192732
+0.000120845
+-0.00170005
+-0.00375912
+-0.00588849
+-0.00804796
+-0.00993398
+-0.0110516
+-0.00922735
+-0.00757883
+-0.00596748
+-0.00398787
+-0.0021394
+-0.00053695
+0.000757527
+0.00217616
+0.00356461
+0.00493351
+0.00615439
+0.00747523
+0.00910154
+0.0105407
+0.0121972
+0.0140012
+0.0157087
+0.0151385
+0.0143172
+0.0137981
+0.0135688
+0.0136697
+0.0140241
+0.0146813
+0.0156002
+0.0167092
+0.0180102
+0.0194712
+0.0210473
+0.0227253
+0.0232371
+0.0234035
+0.0236575
+0.0241053
+0.0247396
+0.0255467
+0.0265107
+0.0275843
+0.02875
+0.0300305
+0.0314117
+0.031445
+0.0306393
+0.0299616
+0.0294119
+0.0289844
+0.0286723
+0.0269108
+0.0252107
+0.0235892
+0.0220662
+0.0206636
+0.0194075
+0.0183224
+0.0174442
+0.0167819
+0.0163004
+0.0161051
+0.016178
+0.0165148
+0.0170905
+0.0179008
+0.0189273
+0.0200227
+0.0212176
+0.0225226
+0.0228688
+0.0214656
+0.0202017
+0.0190978
+0.0181703
+0.017439
+0.0169609
+0.0167579
+0.016828
+0.0171321
+0.0176469
+0.0183738
+0.0192696
+0.0203325
+0.0215516
+0.0229157
+0.0220141
+0.0199688
+0.0179305
+0.0159209
+0.0138312
+0.0117579
+0.00967851
+0.00760637
+0.00554778
+0.00338544
+0.00121695
+-0.000902007
+-0.00252852
+-0.0037703
+-0.00533275
+-0.00717367
+-0.00916968
+-0.0112383
+-0.010071
+-0.00851422
+-0.00657525
+-0.00485524
+-0.00334049
+-0.00181888
+-0.000532346
+0.000841992
+0.00230755
+0.00361508
+0.00468927
+0.00628065
+0.00778943
+0.00941698
+0.0112196
+0.0128865
+0.0146157
+0.0153112
+0.0145086
+0.0139966
+0.0137824
+0.0138816
+0.0141895
+0.014818
+0.015729
+0.016828
+0.0181205
+0.0195733
+0.0211417
+0.0228128
+0.0237599
+0.0238059
+0.0240475
+0.0244503
+0.0250093
+0.0257359
+0.0266235
+0.0276564
+0.0288192
+0.0300191
+0.0313117
+0.0310086
+0.0301912
+0.0295137
+0.0289862
+0.0285802
+0.02831
+0.0273684
+0.0256963
+0.0241075
+0.0226191
+0.0212466
+0.0200203
+0.0189685
+0.0181217
+0.0174569
+0.0170419
+0.0168552
+0.0169519
+0.0173044
+0.0178898
+0.0187149
+0.019715
+0.0208861
+0.0221301
+0.023396
+0.0233161
+0.0219331
+0.0206832
+0.0195984
+0.0187082
+0.0180286
+0.0175666
+0.0173706
+0.0174411
+0.0177394
+0.0182966
+0.0190537
+0.0199874
+0.0210492
+0.0222433
+0.0235674
+0.0218158
+0.0197306
+0.017654
+0.0156088
+0.0136088
+0.0115277
+0.00944906
+0.00740803
+0.00547927
+0.0034689
+0.00151486
+-6.86687e-05
+-0.00122114
+-0.00289143
+-0.00476111
+-0.00675353
+-0.00856889
+-0.00994618
+-0.00992422
+-0.00863459
+-0.00710266
+-0.00570155
+-0.00431755
+-0.00290409
+-0.00156248
+-0.000232888
+0.00109991
+0.00224323
+0.00373488
+0.00528042
+0.00678808
+0.00849983
+0.0102217
+0.0118638
+0.0135618
+0.0152049
+0.0147599
+0.0142891
+0.0141051
+0.0141853
+0.0145503
+0.0151772
+0.0160678
+0.0171882
+0.0184555
+0.0198841
+0.0214416
+0.0231021
+0.0242304
+0.0242077
+0.024374
+0.024734
+0.0252794
+0.0259833
+0.0267584
+0.0276856
+0.0287501
+0.0299254
+0.0309535
+0.0306857
+0.0298974
+0.029213
+0.02868
+0.0283069
+0.0280402
+0.0279371
+0.0263308
+0.0247772
+0.0233261
+0.0219978
+0.0208158
+0.0198063
+0.0189935
+0.0183599
+0.0179726
+0.0178211
+0.0179125
+0.0182682
+0.0188374
+0.0196229
+0.0206122
+0.0217686
+0.0230439
+0.0244217
+0.0239252
+0.0225796
+0.021367
+0.0203188
+0.0194616
+0.0188097
+0.0183673
+0.01818
+0.0182555
+0.0185643
+0.0190708
+0.0198081
+0.0207395
+0.0218308
+0.0230512
+0.023813
+0.0217373
+0.0196841
+0.0176271
+0.0155783
+0.01356
+0.0115999
+0.00959994
+0.00762486
+0.0058066
+0.00408663
+0.00247709
+0.00142692
+-0.000284739
+-0.00242351
+-0.00457949
+-0.00564314
+-0.0070715
+-0.00862548
+-0.00838568
+-0.00752682
+-0.00667328
+-0.00513483
+-0.00383108
+-0.00296888
+-0.0023253
+-0.000937092
+0.000206687
+0.00157408
+0.00301119
+0.00446098
+0.00597039
+0.00764
+0.00927472
+0.0110106
+0.0126283
+0.0143563
+0.0151694
+0.0147436
+0.0145805
+0.0147375
+0.0151359
+0.0157841
+0.0166423
+0.0177311
+0.0190109
+0.0204133
+0.0219333
+0.0235592
+0.0246803
+0.0246495
+0.0247726
+0.0250371
+0.0254665
+0.0260735
+0.026846
+0.0277703
+0.0286385
+0.0295662
+0.0306063
+0.0304932
+0.0297076
+0.0290302
+0.0284938
+0.0281182
+0.0278948
+0.0277925
+0.0271178
+0.025612
+0.024211
+0.022934
+0.0218028
+0.0208412
+0.020059
+0.01946
+0.0190951
+0.0189646
+0.0190505
+0.0193853
+0.0199495
+0.0207107
+0.0216515
+0.0227638
+0.0240165
+0.0253681
+0.0247137
+0.0234134
+0.0222464
+0.0212416
+0.0204231
+0.0198029
+0.0193833
+0.0192058
+0.0192773
+0.01957
+0.0200512
+0.0207397
+0.0216234
+0.0226848
+0.0239004
+0.0239166
+0.0218507
+0.0198091
+0.017794
+0.0157981
+0.0138081
+0.0118889
+0.0100409
+0.0082839
+0.00657709
+0.0051391
+0.00387571
+0.00196189
+-0.000186149
+-0.00179961
+-0.00275712
+-0.0041069
+-0.00571986
+-0.00745089
+-0.00703404
+-0.00610546
+-0.00560094
+-0.00494992
+-0.00336443
+-0.00221949
+-0.00161468
+-0.000939566
+9.3549e-06
+0.00133564
+0.0026297
+0.00397012
+0.00547511
+0.00708249
+0.00865821
+0.0102742
+0.0119163
+0.0136602
+0.0154388
+0.0153397
+0.0151957
+0.0153464
+0.0157953
+0.0164567
+0.0173352
+0.0184171
+0.0196524
+0.0210437
+0.0225584
+0.0241528
+0.0251122
+0.0250078
+0.0250812
+0.025321
+0.0257236
+0.0262314
+0.0268736
+0.0275288
+0.0283324
+0.0292526
+0.0302996
+0.0304575
+0.029671
+0.0289927
+0.0284555
+0.0280795
+0.0278711
+0.0278157
+0.0278844
+0.0265936
+0.0252471
+0.0240242
+0.022945
+0.0220314
+0.0212788
+0.0207152
+0.0203727
+0.0202626
+0.0203564
+0.02067
+0.0212048
+0.0219225
+0.0228286
+0.0239017
+0.0251141
+0.026434
+0.0255773
+0.0243057
+0.0231702
+0.0221934
+0.0213971
+0.0208019
+0.0204108
+0.0202424
+0.0203102
+0.0205951
+0.0210883
+0.0217855
+0.0226388
+0.0236547
+0.0248229
+0.0241257
+0.0221538
+0.0201726
+0.0181978
+0.0162784
+0.0143603
+0.0124876
+0.0106801
+0.00904371
+0.00764786
+0.00645759
+0.00447176
+0.0026011
+0.000982717
+-5.37919e-05
+-0.00119058
+-0.00283359
+-0.00459336
+-0.00637231
+-0.00545272
+-0.0046075
+-0.00404692
+-0.00364445
+-0.00363395
+-0.00211771
+-0.000832251
+-0.00015437
+0.000450832
+0.00145795
+0.00264232
+0.00386348
+0.00512667
+0.00654348
+0.00816477
+0.00975216
+0.0113833
+0.0131202
+0.0148437
+0.0161722
+0.0160467
+0.0161895
+0.0165935
+0.0172421
+0.0181337
+0.0192056
+0.0204386
+0.0218011
+0.0232703
+0.0248415
+0.025571
+0.0253699
+0.0253461
+0.0254874
+0.0256337
+0.0259526
+0.0264498
+0.0271088
+0.0278976
+0.0288316
+0.0298973
+0.0305751
+0.0297958
+0.0291204
+0.0285857
+0.0282114
+0.0280039
+0.0279511
+0.0280194
+0.0276885
+0.0263979
+0.0252303
+0.0242049
+0.0233407
+0.0226316
+0.0221025
+0.0217819
+0.021679
+0.0217952
+0.0220906
+0.0225933
+0.0232778
+0.024133
+0.0251506
+0.0263115
+0.0275978
+0.0265391
+0.0253158
+0.0242277
+0.0232953
+0.0225379
+0.0219737
+0.0215984
+0.0214393
+0.0215034
+0.021778
+0.022245
+0.0229128
+0.0237554
+0.024752
+0.0258712
+0.0244937
+0.0225401
+0.0206322
+0.0187862
+0.0169553
+0.0151554
+0.0133497
+0.0116765
+0.0101977
+0.00895833
+0.00722062
+0.00542516
+0.00382775
+0.00273619
+0.00167284
+0.000125092
+-0.00157795
+-0.0033528
+-0.00487233
+-0.00391508
+-0.0029011
+-0.00252278
+-0.00223234
+-0.00205645
+-0.00211205
+-0.000839694
+0.000442394
+0.00130928
+0.00192833
+0.00291736
+0.00398772
+0.00516149
+0.00642295
+0.00787903
+0.0094322
+0.0109611
+0.0126121
+0.0142018
+0.0158275
+0.0170559
+0.0171903
+0.0175985
+0.0182362
+0.0190814
+0.0201307
+0.0213275
+0.0226571
+0.0241127
+0.0256627
+0.0258949
+0.0255328
+0.0252978
+0.0252435
+0.0253789
+0.025701
+0.0261962
+0.0268334
+0.0276301
+0.0285729
+0.0296478
+0.0307944
+0.0300327
+0.0294112
+0.0288818
+0.0285114
+0.0283062
+0.0282539
+0.0283215
+0.0285575
+0.0276741
+0.0265625
+0.0255906
+0.0247747
+0.0241079
+0.0236119
+0.023312
+0.0232159
+0.023326
+0.0236128
+0.0240838
+0.0247405
+0.025559
+0.0265218
+0.0276252
+0.028853
+0.0276194
+0.0264552
+0.0254268
+0.0245437
+0.023826
+0.0232826
+0.0229267
+0.0227769
+0.0228372
+0.023106
+0.0235491
+0.024181
+0.0249815
+0.0259416
+0.0267246
+0.0250218
+0.0231162
+0.0212601
+0.0194738
+0.017778
+0.0160251
+0.0143565
+0.0128458
+0.011555
+0.00994401
+0.00822626
+0.00671133
+0.0054762
+0.00449399
+0.00310994
+0.00144061
+-0.000268088
+-0.00178308
+-0.00329924
+-0.00258805
+-0.00132151
+-0.000649184
+-0.000693963
+-0.000338531
+-0.000326075
+-0.000103414
+0.000938212
+0.00211833
+0.00291373
+0.00364636
+0.00436381
+0.00480252
+0.00579761
+0.00694442
+0.00832686
+0.0099455
+0.0117271
+0.0136284
+0.0154595
+0.0170498
+0.0183534
+0.0187365
+0.0193614
+0.020183
+0.0211778
+0.0223422
+0.0236446
+0.0250472
+0.0263623
+0.025823
+0.0254313
+0.0252117
+0.0251572
+0.0252931
+0.0256162
+0.0260957
+0.0267353
+0.0275348
+0.0284808
+0.0295591
+0.0311397
+0.0303866
+0.0297759
+0.0293049
+0.02894
+0.0287378
+0.0287019
+0.0287876
+0.0290198
+0.0290595
+0.028003
+0.0270828
+0.0263121
+0.0256729
+0.0252077
+0.024927
+0.0248372
+0.0249401
+0.0252223
+0.0256638
+0.026281
+0.027062
+0.027985
+0.0290391
+0.0300474
+0.0288148
+0.0277009
+0.0267204
+0.0258887
+0.0252108
+0.0246888
+0.0243535
+0.0242125
+0.0242693
+0.0245224
+0.0249659
+0.0255622
+0.0263205
+0.0272344
+0.0258436
+0.0241255
+0.0224464
+0.0208623
+0.0193319
+0.017783
+0.0163467
+0.0150885
+0.0139992
+0.0128099
+0.0111193
+0.00956897
+0.00825349
+0.00730016
+0.00606165
+0.00447683
+0.00282046
+0.00130684
+-0.000205609
+-0.00173677
+-0.00147952
+9.97025e-05
+0.00115716
+0.00124797
+0.00131091
+0.00137357
+0.00148611
+0.00195281
+0.00297407
+0.00305982
+0.00241662
+0.00260577
+0.00307569
+0.00422176
+0.00554506
+0.00716941
+0.00898392
+0.0108903
+0.0128874
+0.0149389
+0.0166574
+0.0183721
+0.0200161
+0.020602
+0.0213971
+0.0223523
+0.0234598
+0.0247124
+0.026089
+0.0264734
+0.0259071
+0.0255165
+0.0252977
+0.0252434
+0.0253788
+0.0257009
+0.0261788
+0.0268164
+0.0276136
+0.0285569
+0.0296147
+0.0315986
+0.0308567
+0.0302555
+0.0298036
+0.0294962
+0.0292979
+0.0292627
+0.0293832
+0.0296296
+0.030017
+0.0295358
+0.0286649
+0.0279243
+0.0273221
+0.0268855
+0.0266225
+0.0265384
+0.0266348
+0.0269098
+0.0273281
+0.0279086
+0.0286453
+0.0295187
+0.03052
+0.0313035
+0.0301223
+0.0290585
+0.0281255
+0.0273365
+0.0266916
+0.0261992
+0.0258835
+0.0257509
+0.0258043
+0.0260424
+0.0264605
+0.0270274
+0.0277457
+0.0263832
+0.0246113
+0.0228438
+0.0210627
+0.0193659
+0.0177773
+0.0162849
+0.014741
+0.0133349
+0.0121481
+0.011185
+0.0105126
+0.0101874
+0.0100312
+0.00897321
+0.00754767
+0.00591114
+0.00440122
+0.00287618
+0.00131406
+-4.62142e-05
+-0.00014321
+0.00121106
+0.00278967
+0.00317535
+0.00312198
+0.00315911
+0.00321616
+0.00268295
+0.00185961
+0.00129377
+0.000570712
+0.000729116
+0.00157979
+0.0030855
+0.00461946
+0.006433
+0.00839734
+0.0104117
+0.0124856
+0.0142059
+0.0160068
+0.0178949
+0.0197847
+0.0216955
+0.022723
+0.0236501
+0.0247127
+0.0259047
+0.0272212
+0.0265902
+0.0260364
+0.0256478
+0.0254426
+0.0254028
+0.0255373
+0.0258574
+0.0263564
+0.0270242
+0.0278185
+0.0287552
+0.029818
+0.0322003
+0.0314725
+0.0308833
+0.0304408
+0.0301512
+0.0300078
+0.0299735
+0.0300912
+0.0303317
+0.0307197
+0.031139
+0.0302994
+0.0295986
+0.029043
+0.0286326
+0.0283858
+0.0283069
+0.0283973
+0.0286554
+0.0290624
+0.0296089
+0.0303042
+0.0311312
+0.0320821
+0.0326583
+0.031528
+0.0305132
+0.029626
+0.0288763
+0.0282573
+0.0277926
+0.0274952
+0.0273704
+0.0274206
+0.0276449
+0.0280384
+0.0285747
+0.0272662
+0.0253672
+0.0235188
+0.0216886
+0.0198252
+0.0180121
+0.016292
+0.0146977
+0.0132289
+0.0117177
+0.0103669
+0.00928829
+0.00850776
+0.00811048
+0.00820858
+0.00881421
+0.00900185
+0.00749586
+0.0059509
+0.0043941
+0.00287634
+0.00186284
+0.00192293
+0.00279601
+0.00411171
+0.00502375
+0.00494739
+0.00491508
+0.00323115
+0.00144614
+0.000214963
+-0.000310586
+-0.00109979
+-0.000603159
+0.000893551
+0.00258447
+0.00427058
+0.00614136
+0.0081158
+0.0101788
+0.011876
+0.0136628
+0.0155269
+0.0174666
+0.0194398
+0.0214305
+0.0234462
+0.0250484
+0.0260695
+0.0272214
+0.027471
+0.0267811
+0.026238
+0.0258525
+0.0256489
+0.0256094
+0.0257429
+0.0260605
+0.0265556
+0.0272185
+0.0280347
+0.0289706
+0.0300315
+0.032937
+0.0322259
+0.0316507
+0.031219
+0.0309368
+0.0308081
+0.0308239
+0.0309383
+0.0311724
+0.0315571
+0.0320718
+0.0319937
+0.0313308
+0.0308097
+0.0304242
+0.0301921
+0.030118
+0.0302029
+0.0304457
+0.0308284
+0.0313441
+0.0320018
+0.0327929
+0.033708
+0.0341002
+0.0330125
+0.0320369
+0.031185
+0.0304671
+0.0298919
+0.0294531
+0.0291726
+0.029055
+0.0291023
+0.0293137
+0.0296768
+0.0284609
+0.0264664
+0.0245054
+0.0225577
+0.0205966
+0.0186867
+0.0168193
+0.0149809
+0.0132295
+0.011628
+0.0101918
+0.00870478
+0.00745667
+0.0065209
+0.00598291
+0.00611704
+0.00689005
+0.00807889
+0.00903828
+0.0074585
+0.00587612
+0.00463236
+0.00393682
+0.00403403
+0.00474062
+0.00582925
+0.00686039
+0.00673472
+0.00496755
+0.00284234
+0.000749933
+-0.00139864
+-0.00200396
+-0.00222925
+-0.000976927
+0.000812237
+0.0024505
+0.00426805
+0.00592787
+0.00777583
+0.0097214
+0.0115096
+0.0134177
+0.0153407
+0.0173
+0.0192887
+0.0213152
+0.0233609
+0.0254124
+0.0274062
+0.0286165
+0.0278006
+0.027119
+0.0265901
+0.0262312
+0.0260385
+0.0259996
+0.0261311
+0.026444
+0.0269321
+0.027586
+0.0283917
+0.0293196
+0.0303774
+0.0337999
+0.0331073
+0.0325477
+0.032128
+0.0318539
+0.0317289
+0.0317549
+0.0319136
+0.0321406
+0.0325139
+0.0330224
+0.0336556
+0.0331173
+0.0326224
+0.0322576
+0.0320388
+0.0319689
+0.032049
+0.0322779
+0.0326452
+0.0331326
+0.0337555
+0.0345064
+0.0353772
+0.0355932
+0.0345517
+0.0336209
+0.0328101
+0.0321285
+0.0315836
+0.0311686
+0.0309037
+0.0307927
+0.0308373
+0.0310369
+0.0299298
+0.0278683
+0.025828
+0.0237904
+0.0217199
+0.0196756
+0.0176663
+0.0157057
+0.0138094
+0.0119739
+0.0101885
+0.00857272
+0.00720686
+0.00571227
+0.00459219
+0.00392457
+0.004125
+0.00513631
+0.00650665
+0.00814639
+0.00892785
+0.00758893
+0.00659133
+0.00604876
+0.00614706
+0.00679635
+0.00765054
+0.00876441
+0.00745961
+0.00531396
+0.00316203
+0.00110147
+-0.000937378
+-0.00303298
+-0.00234365
+-0.000900498
+0.000452121
+0.00200549
+0.00388068
+0.00558941
+0.00748885
+0.00948554
+0.0114491
+0.0133635
+0.015352
+0.0173892
+0.0193855
+0.0214029
+0.0234459
+0.0255094
+0.0275259
+0.0290513
+0.0282304
+0.0275595
+0.0270499
+0.0267109
+0.0265331
+0.0265163
+0.0266801
+0.0270004
+0.0274786
+0.0281198
+0.0289108
+0.0298225
+0.0308631
+0.0347795
+0.0341068
+0.0335639
+0.0331571
+0.0328915
+0.0327705
+0.0327957
+0.0329619
+0.0332207
+0.0335864
+0.0340849
+0.0347012
+0.0349498
+0.0344781
+0.0341331
+0.0339264
+0.0338604
+0.033936
+0.0341523
+0.0345054
+0.0349669
+0.0355577
+0.0362713
+0.0371007
+0.0371547
+0.0361582
+0.0352698
+0.0344978
+0.0338502
+0.0333335
+0.0329405
+0.0326899
+0.032585
+0.0317822
+0.0303067
+0.028922
+0.0274382
+0.0253439
+0.0232053
+0.0210775
+0.018964
+0.0168702
+0.0148045
+0.0127805
+0.0108216
+0.00894391
+0.00717416
+0.00553485
+0.00417649
+0.00280026
+0.00201449
+0.00230619
+0.00356598
+0.00521817
+0.00713161
+0.00911056
+0.0094598
+0.0086303
+0.00819589
+0.00829786
+0.00882411
+0.00961211
+0.0100453
+0.00787849
+0.0057298
+0.00363163
+0.00146249
+-0.000702216
+-0.00277994
+-0.00263691
+-0.00092835
+0.000615995
+0.00219286
+0.00416546
+0.00594191
+0.00775549
+0.00969743
+0.0117049
+0.0135833
+0.0155437
+0.0175587
+0.0195824
+0.0216149
+0.0236505
+0.0256976
+0.0277587
+0.0295955
+0.0287901
+0.0281326
+0.0276335
+0.0273017
+0.0271278
+0.0271114
+0.0272716
+0.0276053
+0.0281062
+0.0287657
+0.0295705
+0.030475
+0.031494
+0.0358663
+0.0352144
+0.0346889
+0.0342954
+0.0340387
+0.0339218
+0.0339461
+0.0341045
+0.0343569
+0.0347438
+0.035246
+0.0358504
+0.0365614
+0.0363711
+0.0360442
+0.0358485
+0.0357861
+0.0358576
+0.0360624
+0.036398
+0.0368402
+0.0374014
+0.0380805
+0.0388713
+0.0387771
+0.0378234
+0.036975
+0.0362393
+0.0356234
+0.0351328
+0.0347602
+0.0338604
+0.0321849
+0.0305722
+0.0290353
+0.0275869
+0.026232
+0.0248299
+0.0227919
+0.0206305
+0.018476
+0.0163297
+0.0141873
+0.0120601
+0.00996048
+0.00791044
+0.0059613
+0.00415452
+0.00259294
+0.00112439
+8.19392e-05
+0.000730948
+0.00239502
+0.00436098
+0.00640958
+0.00850249
+0.0105487
+0.0107292
+0.0103613
+0.0104421
+0.0109097
+0.0116472
+0.010103
+0.0079866
+0.00589616
+0.00387937
+0.00191841
+-2.75663e-05
+-0.00164062
+-0.00196228
+-3.6086e-06
+0.00188472
+0.00353783
+0.00505458
+0.00685181
+0.00857568
+0.0103654
+0.0122858
+0.0141429
+0.0160352
+0.0179952
+0.0199747
+0.021971
+0.0240012
+0.0260575
+0.0280988
+0.030103
+0.0295022
+0.0288609
+0.0283747
+0.0280516
+0.0278794
+0.0278635
+0.0280193
+0.0283442
+0.0288323
+0.0294755
+0.030264
+0.031168
+0.0321921
+0.037051
+0.0364203
+0.0359123
+0.0355324
+0.0352847
+0.0351698
+0.0351669
+0.0353002
+0.0355682
+0.0359481
+0.0364499
+0.0370746
+0.0377735
+0.0382958
+0.0379855
+0.0377999
+0.0377407
+0.0378085
+0.0380027
+0.0383214
+0.0387468
+0.0392807
+0.0399279
+0.0406828
+0.0404532
+0.0395399
+0.0387291
+0.0380274
+0.0374408
+0.0363052
+0.0345282
+0.0327998
+0.0311245
+0.0294754
+0.0278783
+0.0263663
+0.0249453
+0.0236355
+0.0221504
+0.0202149
+0.0181991
+0.0160172
+0.0138381
+0.0116633
+0.00949579
+0.00734208
+0.00521471
+0.00313045
+0.00123254
+-0.000370549
+-0.00178111
+-0.000231751
+0.00179351
+0.00386859
+0.00597343
+0.00811657
+0.0102369
+0.0123523
+0.0125355
+0.0126024
+0.0130131
+0.0122681
+0.0104475
+0.00854509
+0.00651715
+0.00454387
+0.00270136
+0.00107714
+-0.000145312
+-0.000271833
+0.00110828
+0.00285431
+0.00469564
+0.00650189
+0.00803988
+0.00974434
+0.0113514
+0.0131283
+0.0149485
+0.0167805
+0.01868
+0.0205939
+0.0225354
+0.0244947
+0.0262564
+0.0280759
+0.0299397
+0.0303379
+0.0297147
+0.0292427
+0.0289293
+0.0287529
+0.0287375
+0.0288886
+0.0292038
+0.0296778
+0.0303031
+0.0310706
+0.0319701
+0.0329764
+0.0383193
+0.0377098
+0.0372195
+0.036853
+0.0365965
+0.0364623
+0.0364595
+0.0365881
+0.0368467
+0.0372207
+0.0377056
+0.0383098
+0.0390278
+0.0398257
+0.0399526
+0.0397762
+0.0397199
+0.0397844
+0.039969
+0.0402721
+0.0406816
+0.0411904
+0.041808
+0.0425296
+0.0421764
+0.0413012
+0.0405257
+0.0392018
+0.0373057
+0.0354436
+0.0336211
+0.0318438
+0.0301154
+0.0284507
+0.0268318
+0.0252714
+0.023791
+0.0224139
+0.0211066
+0.0195801
+0.0176495
+0.0157719
+0.0137758
+0.0115941
+0.00941649
+0.0072468
+0.00509511
+0.0030004
+0.00107521
+-0.00085704
+-0.00129131
+8.51658e-06
+0.00182238
+0.00385607
+0.00594987
+0.00804621
+0.0101065
+0.0121916
+0.0143052
+0.0147716
+0.014334
+0.0124707
+0.0106576
+0.00891972
+0.00715984
+0.00538597
+0.0037866
+0.0024111
+0.00155806
+0.00170492
+0.00267718
+0.00416629
+0.0058891
+0.00764698
+0.0094432
+0.0106114
+0.0116775
+0.0129776
+0.0144723
+0.0161113
+0.0178298
+0.0196353
+0.0214261
+0.0232139
+0.025058
+0.0269525
+0.0288888
+0.0308593
+0.0306996
+0.030243
+0.029938
+0.0297624
+0.0297475
+0.0298935
+0.0301982
+0.0306568
+0.0312625
+0.032007
+0.0328809
+0.0338629
+0.0396359
+0.039047
+0.0385737
+0.0382203
+0.0379669
+0.0378376
+0.0378349
+0.0379588
+0.0382082
+0.0385759
+0.0390439
+0.0396277
+0.0403223
+0.0411219
+0.0419419
+0.0417738
+0.0417203
+0.0417817
+0.0419575
+0.0422463
+0.0426394
+0.0431252
+0.0437154
+0.044406
+0.0439413
+0.0424674
+0.0404873
+0.0385299
+0.036599
+0.034699
+0.0328352
+0.031013
+0.0292355
+0.0275176
+0.0258611
+0.0242854
+0.0227562
+0.0213098
+0.019942
+0.0184955
+0.0169553
+0.0152151
+0.0133725
+0.0115688
+0.0097048
+0.00763998
+0.00562356
+0.00373574
+0.0019137
+0.000387345
+-0.000220119
+0.00126813
+0.00257321
+0.00426642
+0.00622482
+0.00825862
+0.0102761
+0.0123332
+0.0144261
+0.016064
+0.0140984
+0.0122097
+0.0104196
+0.00875004
+0.00735886
+0.00606719
+0.00488272
+0.00383358
+0.00332946
+0.00357059
+0.00453416
+0.00573984
+0.00713546
+0.00731091
+0.00781449
+0.00867357
+0.00991308
+0.0113882
+0.0130408
+0.0147878
+0.0166358
+0.0183674
+0.0201844
+0.0220623
+0.0239933
+0.0259656
+0.0279639
+0.0299799
+0.0317991
+0.0313585
+0.0310637
+0.0308944
+0.0308801
+0.0310208
+0.0313145
+0.031757
+0.0323421
+0.0330623
+0.0339049
+0.0348538
+0.0410266
+0.0404579
+0.0400013
+0.0396569
+0.0394115
+0.039287
+0.0392844
+0.0394038
+0.039644
+0.040003
+0.0404567
+0.0410204
+0.0416917
+0.0424656
+0.0433364
+0.04379
+0.0437389
+0.0437974
+0.0439652
+0.044241
+0.0446189
+0.0450833
+0.0456483
+0.0460221
+0.0439854
+0.0419625
+0.0399574
+0.0379727
+0.036012
+0.0340793
+0.0321796
+0.030318
+0.0284972
+0.0267319
+0.0250234
+0.0233914
+0.0218404
+0.0203308
+0.0189413
+0.0175164
+0.0159101
+0.0144444
+0.0127637
+0.0111929
+0.00949203
+0.00788063
+0.00643025
+0.00482366
+0.00326239
+0.00210899
+0.00172892
+0.00275271
+0.00404838
+0.00539172
+0.00707018
+0.00891822
+0.0108158
+0.0127957
+0.0148349
+0.0152347
+0.0132162
+0.0111795
+0.00921358
+0.00737271
+0.00565233
+0.00431689
+0.00355064
+0.00364338
+0.00424839
+0.00419433
+0.00463861
+0.00542987
+0.00514937
+0.00524607
+0.00577007
+0.00687756
+0.00831455
+0.00997771
+0.0117718
+0.0135584
+0.0153246
+0.017177
+0.0190993
+0.0210742
+0.0230794
+0.0251053
+0.027153
+0.0292132
+0.0312911
+0.0325791
+0.0322881
+0.0321254
+0.0321115
+0.0322469
+0.0325296
+0.0329557
+0.0335199
+0.0342065
+0.0350105
+0.0359302
+0.0424848
+0.0419359
+0.0414956
+0.0411589
+0.0409225
+0.0408026
+0.0408001
+0.040915
+0.0411464
+0.0414924
+0.0419363
+0.0424804
+0.043129
+0.0438775
+0.0447209
+0.0456539
+0.0457733
+0.0458293
+0.0459896
+0.0462533
+0.0466173
+0.047062
+0.0476035
+0.0456415
+0.0435899
+0.0415525
+0.0395315
+0.0375295
+0.0355498
+0.0335912
+0.0316623
+0.0297683
+0.0279117
+0.0261068
+0.0243545
+0.0226744
+0.0210712
+0.0195351
+0.0181043
+0.0167126
+0.0150224
+0.0134603
+0.0120728
+0.0106097
+0.00921961
+0.00797402
+0.00684019
+0.00605331
+0.00506649
+0.00411278
+0.00386048
+0.00453597
+0.00568055
+0.00686682
+0.00837226
+0.0100173
+0.0117385
+0.0135845
+0.0155205
+0.0145563
+0.0124656
+0.0104074
+0.00838784
+0.00631445
+0.00434048
+0.0025547
+0.00142475
+0.00157996
+0.00269131
+0.0024788
+0.00268975
+0.00368024
+0.00319839
+0.00317195
+0.00388378
+0.00526948
+0.0069457
+0.00881276
+0.0104931
+0.0123021
+0.0142085
+0.016187
+0.0182024
+0.0202423
+0.0222955
+0.0243725
+0.0264678
+0.0285774
+0.0306935
+0.0328165
+0.0335903
+0.0334339
+0.0334206
+0.0335507
+0.0338225
+0.0342325
+0.034776
+0.0354383
+0.0362149
+0.0371048
+0.0440038
+0.0434741
+0.0430495
+0.0427204
+0.0424927
+0.0423772
+0.0423748
+0.0424855
+0.0427084
+0.0430418
+0.043476
+0.044001
+0.0446276
+0.0453513
+0.0461678
+0.0470722
+0.0478216
+0.0478751
+0.0480287
+0.0482812
+0.0486312
+0.0490587
+0.0474397
+0.0453636
+0.0432989
+0.0412471
+0.0392103
+0.0371911
+0.0351924
+0.0332178
+0.0312721
+0.0293609
+0.0274888
+0.0256542
+0.0238686
+0.0221517
+0.0205078
+0.018926
+0.0174608
+0.016112
+0.0144105
+0.0127797
+0.011309
+0.0100015
+0.00876352
+0.00769788
+0.00687233
+0.00650124
+0.00624731
+0.00586469
+0.00594386
+0.00636268
+0.00690641
+0.00791056
+0.00931751
+0.0109277
+0.0126728
+0.014539
+0.0162232
+0.0140875
+0.0119716
+0.00983517
+0.00771487
+0.00564855
+0.00355386
+0.00149133
+-0.000518157
+-0.000260952
+0.00107043
+0.000698475
+0.000703226
+0.00200252
+0.00141248
+0.00119184
+0.00227948
+0.00401587
+0.00573579
+0.00745505
+0.00932574
+0.0113098
+0.0133374
+0.0153869
+0.0174611
+0.0195607
+0.0216739
+0.0237948
+0.0259274
+0.0280689
+0.0302175
+0.0323717
+0.0345305
+0.0348312
+0.0348184
+0.0349433
+0.0352043
+0.0355985
+0.0361214
+0.0367595
+0.0375087
+0.0383686
+0.0455775
+0.0450662
+0.0446568
+0.0443352
+0.0441158
+0.0440046
+0.0440023
+0.0441089
+0.0443237
+0.044645
+0.0450695
+0.0455763
+0.0461815
+0.0468813
+0.0476715
+0.0485479
+0.0495057
+0.0499333
+0.0500805
+0.0503227
+0.0506586
+0.049367
+0.0472741
+0.0451904
+0.0431173
+0.0410565
+0.0390098
+0.0369796
+0.0349687
+0.0329808
+0.0310203
+0.0290926
+0.0272047
+0.0253655
+0.0235771
+0.0218373
+0.0201679
+0.0185571
+0.0170602
+0.0156873
+0.0140565
+0.0124083
+0.0109095
+0.00960725
+0.00842206
+0.00752015
+0.00693735
+0.00654758
+0.00656274
+0.00652151
+0.0064335
+0.00683979
+0.00778404
+0.00906812
+0.0102357
+0.0115069
+0.0129083
+0.0143884
+0.0159885
+0.0138247
+0.0116711
+0.00953428
+0.00737498
+0.00518845
+0.00300714
+0.000842557
+-0.00129325
+-0.00189935
+-0.00047424
+-0.000711231
+-0.000976402
+0.000558545
+6.45003e-05
+-0.000234517
+0.00101051
+0.00266821
+0.00447756
+0.00645413
+0.00849953
+0.0105708
+0.0126718
+0.0147863
+0.0169197
+0.0190661
+0.0212216
+0.0233836
+0.0255505
+0.0277212
+0.0298947
+0.0320707
+0.0342484
+0.0363069
+0.0362947
+0.0364145
+0.0366651
+0.0370437
+0.0375465
+0.0381607
+0.038883
+0.0397131
+0.0472004
+0.0467069
+0.0463118
+0.0459977
+0.0457863
+0.0456791
+0.0456769
+0.0457796
+0.0459866
+0.0462964
+0.046707
+0.0472007
+0.0477853
+0.0484619
+0.0492268
+0.050076
+0.0510051
+0.0520022
+0.0521436
+0.0523763
+0.0514089
+0.0493053
+0.0472096
+0.045123
+0.0430466
+0.0409822
+0.0389316
+0.0368971
+0.0348816
+0.0328884
+0.030922
+0.0289877
+0.0270925
+0.0252452
+0.0234493
+0.0217157
+0.0200628
+0.0184429
+0.0169359
+0.0155518
+0.0139927
+0.0123874
+0.0108858
+0.00959433
+0.00848782
+0.00760927
+0.00700115
+0.00667665
+0.00679344
+0.00703493
+0.00703179
+0.00745771
+0.00828376
+0.00913172
+0.0100879
+0.0113215
+0.0127433
+0.0142409
+0.0158596
+0.0138406
+0.0116891
+0.00955546
+0.00745495
+0.00532713
+0.00324562
+0.00125101
+-0.000561933
+-0.000961302
+-0.000490547
+-0.00142843
+-0.00113925
+-5.01616e-06
+-0.000877584
+-0.000895956
+-0.000272383
+0.00168795
+0.00373854
+0.00584919
+0.0079683
+0.0101164
+0.0122796
+0.014451
+0.0166276
+0.0188073
+0.0209894
+0.0231731
+0.025358
+0.0275438
+0.0297304
+0.0319175
+0.034105
+0.036293
+0.0378403
+0.0379552
+0.0381957
+0.0385593
+0.0390426
+0.0396336
+0.0403295
+0.0411305
+0.0488676
+0.0483912
+0.0480058
+0.0477028
+0.047499
+0.0473957
+0.0473936
+0.0474926
+0.0476921
+0.0479909
+0.0483872
+0.0488693
+0.0494342
+0.0500886
+0.050829
+0.0516518
+0.0525531
+0.0535289
+0.0542168
+0.0535523
+0.051443
+0.0493409
+0.0472468
+0.0451618
+0.0430874
+0.041025
+0.0389767
+0.0369446
+0.0349318
+0.0329417
+0.0309786
+0.0290481
+0.0271572
+0.0253146
+0.0235239
+0.0217963
+0.0201588
+0.0185704
+0.0170738
+0.0156878
+0.0142485
+0.0127078
+0.011271
+0.0100565
+0.00900521
+0.00813822
+0.00754214
+0.0072491
+0.0073479
+0.00765319
+0.00763631
+0.008037
+0.00858953
+0.00941695
+0.0103498
+0.0115517
+0.0129456
+0.0143953
+0.0159698
+0.0141649
+0.0120713
+0.0100194
+0.00803682
+0.00607762
+0.00421529
+0.00250954
+0.00135994
+0.00115398
+0.00150168
+0.000658137
+0.000691713
+0.00148505
+0.000585835
+0.00023206
+0.00035786
+0.00177222
+0.00373582
+0.00583225
+0.00795554
+0.0101064
+0.0122713
+0.014444
+0.0166214
+0.0188019
+0.0209846
+0.0231687
+0.025354
+0.0275401
+0.0297269
+0.0319143
+0.0341021
+0.0362902
+0.0384786
+0.0395573
+0.0397881
+0.0401372
+0.0406018
+0.0411704
+0.0418408
+0.0426133
+0.0505748
+0.0501146
+0.0497386
+0.0494462
+0.0492497
+0.0491501
+0.049148
+0.0492434
+0.0494359
+0.0497242
+0.0501068
+0.0505778
+0.0511238
+0.0517568
+0.0524737
+0.0532711
+0.0541455
+0.0550931
+0.0557725
+0.0536745
+0.0515702
+0.0494735
+0.0473853
+0.0453067
+0.0432392
+0.0411844
+0.0391444
+0.0371216
+0.0351189
+0.03314
+0.0311894
+0.0292729
+0.0273974
+0.0255697
+0.023799
+0.0220949
+0.0204813
+0.0189202
+0.0174536
+0.0161001
+0.0147734
+0.0133089
+0.0119921
+0.0108702
+0.00988901
+0.0090892
+0.00850651
+0.00828296
+0.00833111
+0.00868237
+0.00865261
+0.00883923
+0.00932127
+0.0100524
+0.0109183
+0.0120728
+0.013422
+0.0148435
+0.0163329
+0.0148095
+0.0128078
+0.0108667
+0.00904032
+0.00726355
+0.0056023
+0.00428213
+0.00343689
+0.00330476
+0.00345629
+0.0027723
+0.00273614
+0.0031473
+0.00255892
+0.00238601
+0.00242871
+0.00315638
+0.00465782
+0.00648544
+0.00848616
+0.0105561
+0.0126483
+0.0147657
+0.0169017
+0.0190501
+0.0212073
+0.0233706
+0.0255386
+0.0277102
+0.0298846
+0.0320611
+0.0342395
+0.0364194
+0.0386005
+0.0407826
+0.0414351
+0.0417705
+0.0422171
+0.0427643
+0.04341
+0.0441551
+0.052318
+0.0518733
+0.0515063
+0.051224
+0.0510343
+0.0509382
+0.0509362
+0.0510283
+0.0512141
+0.0514924
+0.0518619
+0.0523206
+0.0528502
+0.0534628
+0.0541571
+0.0549301
+0.0557784
+0.0566988
+0.0559259
+0.0538629
+0.0517683
+0.0496819
+0.0476048
+0.0455384
+0.0434842
+0.041444
+0.0394199
+0.0374146
+0.0354313
+0.0334709
+0.0315356
+0.0296358
+0.027779
+0.0259742
+0.0242331
+0.0225705
+0.0209965
+0.0195112
+0.0180926
+0.0167643
+0.0155817
+0.0142008
+0.0130155
+0.01196
+0.0110864
+0.0103061
+0.00979104
+0.0096507
+0.00968001
+0.0100274
+0.00992235
+0.00997582
+0.0103999
+0.0109914
+0.0118138
+0.0129025
+0.0141721
+0.0155465
+0.0169592
+0.0156949
+0.0138121
+0.0120341
+0.0103308
+0.00869751
+0.00730498
+0.00622485
+0.00555752
+0.00547225
+0.00548999
+0.00492891
+0.00481501
+0.00500801
+0.00468059
+0.00455868
+0.00459596
+0.00504359
+0.00616918
+0.00769315
+0.00944186
+0.0113388
+0.0133249
+0.0153667
+0.0174447
+0.0195423
+0.0216504
+0.0237735
+0.0259078
+0.0280508
+0.0302007
+0.032356
+0.0345158
+0.0366792
+0.0388457
+0.0410148
+0.0431305
+0.0434529
+0.0438823
+0.044409
+0.0450311
+0.0457499
+0.0540938
+0.0536638
+0.0533054
+0.0530327
+0.0528495
+0.0527567
+0.0527547
+0.0528437
+0.0530231
+0.053292
+0.0536491
+0.0540926
+0.0546099
+0.0552029
+0.0558757
+0.0566252
+0.0574485
+0.0582216
+0.0561644
+0.0541177
+0.0520437
+0.0499688
+0.0479042
+0.0458513
+0.0438118
+0.0417875
+0.0397809
+0.0377948
+0.0358325
+0.0338982
+0.031997
+0.0301351
+0.0283203
+0.0265539
+0.0248474
+0.0232185
+0.0216886
+0.0202804
+0.018927
+0.017648
+0.0165379
+0.0153341
+0.0142376
+0.0133117
+0.0125351
+0.0117573
+0.0113211
+0.0111999
+0.0112396
+0.0115539
+0.011351
+0.0114003
+0.011747
+0.0122119
+0.0129826
+0.0139666
+0.0151835
+0.0164954
+0.0178011
+0.0168126
+0.0150694
+0.0134085
+0.0117932
+0.0103664
+0.00916064
+0.00824155
+0.00771388
+0.00765096
+0.00754302
+0.00709771
+0.00689929
+0.00701444
+0.00684053
+0.00673888
+0.00677151
+0.00710712
+0.00794557
+0.00923857
+0.0107532
+0.0124576
+0.0142929
+0.0162133
+0.0181948
+0.0202196
+0.0222758
+0.0243554
+0.026453
+0.0285559
+0.0306704
+0.0327949
+0.0349275
+0.0370669
+0.039212
+0.0413619
+0.0435158
+0.0451782
+0.0455914
+0.0460992
+0.0466988
+0.0473922
+0.055899
+0.0554818
+0.0551329
+0.0548693
+0.0546922
+0.0546025
+0.0546006
+0.0546866
+0.05486
+0.0551199
+0.0554653
+0.0558944
+0.0563998
+0.0569742
+0.0576263
+0.0583533
+0.0591526
+0.0585282
+0.0564842
+0.0544468
+0.0524093
+0.0503495
+0.0483012
+0.0462659
+0.0442455
+0.042242
+0.0402581
+0.0382967
+0.0363615
+0.0344569
+0.0325883
+0.0307622
+0.0289867
+0.0272713
+0.0256107
+0.0240335
+0.0225591
+0.0212087
+0.0199521
+0.0187303
+0.0176879
+0.0166444
+0.0156405
+0.0148332
+0.0140824
+0.0133835
+0.0129893
+0.0128955
+0.0129715
+0.0132325
+0.0129579
+0.0129969
+0.0132568
+0.0136627
+0.0143756
+0.0152666
+0.016393
+0.017615
+0.0188433
+0.0181247
+0.016492
+0.0148892
+0.0134429
+0.0121588
+0.0111147
+0.0103292
+0.00988534
+0.00980365
+0.00963076
+0.00923173
+0.00901625
+0.00907657
+0.00901516
+0.00892366
+0.00895425
+0.00922944
+0.00988957
+0.0109555
+0.0123159
+0.0138291
+0.015505
+0.0172963
+0.0191673
+0.0210989
+0.0230769
+0.0250902
+0.027131
+0.0291936
+0.0312736
+0.0333677
+0.03547
+0.0375785
+0.039696
+0.041821
+0.0439524
+0.0460894
+0.0473374
+0.0476611
+0.0479628
+0.048362
+0.0577309
+0.0573236
+0.056986
+0.056731
+0.0565597
+0.056473
+0.0564712
+0.0565543
+0.056722
+0.0569734
+0.0573076
+0.057723
+0.058217
+0.0587738
+0.0594061
+0.0601116
+0.0608878
+0.0589035
+0.0568731
+0.0548501
+0.0528403
+0.0508218
+0.0487933
+0.0467795
+0.0447822
+0.0428039
+0.0408473
+0.0389156
+0.0370128
+0.0351435
+0.0333134
+0.0315294
+0.0297996
+0.0281339
+0.0265273
+0.025008
+0.0235945
+0.0223069
+0.0210988
+0.0199653
+0.0189908
+0.0181255
+0.0172069
+0.0164481
+0.0157468
+0.0151526
+0.0147934
+0.0147113
+0.0148044
+0.0149358
+0.0146866
+0.014721
+0.0149081
+0.0152722
+0.0159277
+0.0167446
+0.0177874
+0.0189229
+0.0200713
+0.0195801
+0.0179857
+0.0165256
+0.0151972
+0.0140529
+0.0131114
+0.0124369
+0.0120344
+0.0119282
+0.0117464
+0.0113344
+0.0111539
+0.0111877
+0.011196
+0.0111103
+0.0111401
+0.0113777
+0.0119195
+0.0128177
+0.0140039
+0.0153914
+0.0169132
+0.0185692
+0.0203266
+0.0221606
+0.0240515
+0.0259894
+0.0279647
+0.0299699
+0.0319995
+0.034049
+0.0361152
+0.0381952
+0.0402869
+0.0423885
+0.0444928
+0.046605
+0.0482328
+0.0484481
+0.048745
+0.0491378
+0.059587
+0.0591892
+0.0588623
+0.0586154
+0.0584497
+0.0583658
+0.058364
+0.0584444
+0.0586067
+0.0588501
+0.0591737
+0.0595761
+0.0600558
+0.0605991
+0.0612125
+0.0618975
+0.061383
+0.0593574
+0.057343
+0.0553372
+0.0533458
+0.0513707
+0.0493779
+0.0473889
+0.0454184
+0.0434691
+0.0415438
+0.0396461
+0.0377801
+0.0359507
+0.0341639
+0.0324267
+0.0307474
+0.0291359
+0.0275877
+0.0261302
+0.0247808
+0.0235352
+0.0223761
+0.021354
+0.0204459
+0.0196516
+0.0188649
+0.0181744
+0.0175272
+0.0170056
+0.0166903
+0.0166134
+0.0167055
+0.0167453
+0.0165252
+0.0165518
+0.0166478
+0.0169932
+0.0175846
+0.0183513
+0.0193078
+0.0203805
+0.0214533
+0.0210826
+0.0196106
+0.0182538
+0.0170352
+0.0160099
+0.0151617
+0.0145495
+0.0141679
+0.0140731
+0.0138288
+0.013463
+0.0132724
+0.0133245
+0.0133799
+0.013298
+0.0133276
+0.0135384
+0.0139979
+0.0147702
+0.0158107
+0.0170702
+0.0184744
+0.0200015
+0.021643
+0.0233746
+0.0251779
+0.0270366
+0.0289405
+0.0308824
+0.0328557
+0.0348549
+0.0368759
+0.0389153
+0.0409703
+0.0430386
+0.0451186
+0.0472085
+0.0491084
+0.0493199
+0.0496115
+0.0499976
+0.0614652
+0.0610764
+0.0607596
+0.0605205
+0.06036
+0.0602787
+0.060277
+0.0603549
+0.060512
+0.0607478
+0.0610613
+0.0614514
+0.0619165
+0.0624479
+0.0630434
+0.0637086
+0.0618963
+0.059888
+0.0578921
+0.055906
+0.0539356
+0.0519829
+0.0500498
+0.0480904
+0.04615
+0.0442329
+0.0423423
+0.040482
+0.0386564
+0.0368706
+0.0351306
+0.0334436
+0.031818
+0.0302533
+0.0287639
+0.0273691
+0.0260838
+0.0248804
+0.0237869
+0.0228401
+0.0220007
+0.0212841
+0.0206209
+0.0199788
+0.0193919
+0.0189218
+0.0186517
+0.0185701
+0.018641
+0.0186367
+0.0184409
+0.0183973
+0.0184836
+0.0188121
+0.019348
+0.0200474
+0.0209266
+0.0219389
+0.0229606
+0.0226974
+0.0213195
+0.0200527
+0.0189484
+0.0179968
+0.0172466
+0.0166489
+0.0163165
+0.0162251
+0.0159299
+0.0156066
+0.0153954
+0.0154525
+0.0155657
+0.0154862
+0.0155159
+0.0157023
+0.0161061
+0.0167817
+0.0177043
+0.0188377
+0.0201463
+0.0215617
+0.0230925
+0.0247229
+0.0264343
+0.0282121
+0.0300445
+0.0319195
+0.0338323
+0.035777
+0.0377486
+0.0397432
+0.0417575
+0.0437887
+0.0458346
+0.0478933
+0.0499633
+0.0502721
+0.0505583
+0.0509371
+0.0633635
+0.0629832
+0.0626761
+0.0624443
+0.0622887
+0.06221
+0.0622084
+0.0622838
+0.0624361
+0.0626646
+0.0629686
+0.0633469
+0.0637983
+0.0643182
+0.0648965
+0.0644841
+0.0624822
+0.0604933
+0.0585181
+0.056554
+0.054607
+0.0526791
+0.0507726
+0.0488802
+0.0469724
+0.0450902
+0.0432372
+0.0414171
+0.0396346
+0.0378949
+0.0362041
+0.0345689
+0.032984
+0.0314714
+0.0300425
+0.0287099
+0.0274838
+0.0263232
+0.0252921
+0.0243938
+0.0236465
+0.0229948
+0.0224535
+0.0218539
+0.0213187
+0.020892
+0.0206593
+0.020574
+0.0206123
+0.0205745
+0.0204104
+0.0203114
+0.0203897
+0.0207008
+0.0211913
+0.0218318
+0.0226418
+0.0235979
+0.0245489
+0.0243919
+0.0230915
+0.0219215
+0.0209067
+0.0200262
+0.0193091
+0.0187692
+0.0184709
+0.0183842
+0.0180498
+0.017757
+0.017535
+0.0175851
+0.0177526
+0.0176747
+0.0177049
+0.0178727
+0.0182338
+0.0188332
+0.0196598
+0.0206863
+0.0218846
+0.023224
+0.0246518
+0.0261852
+0.0278068
+0.029502
+0.0312589
+0.0330676
+0.0349192
+0.0368065
+0.0387258
+0.0406725
+0.0426429
+0.0446338
+0.0466426
+0.0486672
+0.0507056
+0.0513002
+0.0515807
+0.0519521
+0.0652782
+0.064908
+0.0646099
+0.0643851
+0.0642343
+0.0641579
+0.0641564
+0.0642295
+0.0643772
+0.0645989
+0.0648938
+0.0652609
+0.0656991
+0.0662069
+0.0667701
+0.0651204
+0.0631387
+0.0611712
+0.0592185
+0.0572785
+0.0553569
+0.0534561
+0.0515783
+0.0497243
+0.0478809
+0.046036
+0.0442226
+0.0424448
+0.0407073
+0.0390154
+0.03737
+0.0357746
+0.0342452
+0.0327908
+0.031422
+0.0301484
+0.0289641
+0.0278586
+0.0268833
+0.0260291
+0.0253304
+0.0247767
+0.0243065
+0.023783
+0.0232865
+0.0229021
+0.0226946
+0.0226071
+0.022624
+0.0225481
+0.0223984
+0.0222766
+0.0223479
+0.0226322
+0.0230924
+0.0236845
+0.0244332
+0.0253208
+0.0262093
+0.0261442
+0.02492
+0.0238196
+0.0228767
+0.0220838
+0.0213901
+0.0209041
+0.020628
+0.02055
+0.0201811
+0.0198838
+0.0196858
+0.0197305
+0.0199402
+0.0198635
+0.0198942
+0.0200475
+0.0203748
+0.020913
+0.0216604
+0.0225962
+0.0236981
+0.0249442
+0.0263012
+0.0277436
+0.029279
+0.0308936
+0.0325755
+0.0343149
+0.0361034
+0.0379342
+0.0397996
+0.0416962
+0.0436204
+0.0455686
+0.047538
+0.0495259
+0.0515303
+0.0523998
+0.0526744
+0.0530382
+0.0672086
+0.0668491
+0.0665598
+0.0663416
+0.0661952
+0.0661211
+0.0661196
+0.0661905
+0.0663339
+0.066549
+0.0668353
+0.0671919
+0.0676175
+0.068111
+0.0677975
+0.0658235
+0.0638636
+0.0619191
+0.0599909
+0.0580766
+0.0561824
+0.0543084
+0.0524585
+0.0506358
+0.0488433
+0.0470647
+0.0452925
+0.0435584
+0.0418672
+0.0402143
+0.0386122
+0.0370704
+0.0355966
+0.0341998
+0.0328892
+0.0316652
+0.030524
+0.029477
+0.0285443
+0.0277411
+0.0270866
+0.0265947
+0.0261774
+0.025754
+0.0252663
+0.0249212
+0.0247443
+0.0246582
+0.0246662
+0.0245586
+0.0243873
+0.0242727
+0.0243382
+0.0245994
+0.0250317
+0.0255894
+0.0262851
+0.0271112
+0.0279429
+0.0279288
+0.0267729
+0.0257518
+0.0248821
+0.0241244
+0.0234911
+0.0230494
+0.0227912
+0.0227206
+0.022321
+0.0220232
+0.0218446
+0.0218848
+0.0221285
+0.0220527
+0.0220838
+0.0222255
+0.0225254
+0.0230134
+0.0236946
+0.024553
+0.0255707
+0.0267296
+0.0280122
+0.0293828
+0.0308367
+0.0323737
+0.0339824
+0.0356532
+0.0373778
+0.039149
+0.0409608
+0.0428076
+0.044684
+0.0465878
+0.0485158
+0.0504652
+0.0524338
+0.0535642
+0.0538352
+0.0541911
+0.0691545
+0.0688052
+0.0685241
+0.0683122
+0.0681701
+0.0680981
+0.0680966
+0.0681656
+0.0683047
+0.0685137
+0.0687918
+0.0691383
+0.069552
+0.0700319
+0.0685432
+0.0665913
+0.0646547
+0.0627347
+0.0608322
+0.058943
+0.0570752
+0.0552311
+0.0534132
+0.0516242
+0.0498673
+0.048146
+0.0464243
+0.0447231
+0.043066
+0.0414586
+0.0399067
+0.038417
+0.0369972
+0.0356555
+0.0343924
+0.0332066
+0.0321267
+0.0311499
+0.0302729
+0.0295165
+0.0289022
+0.0284292
+0.0280946
+0.0277384
+0.0272719
+0.026948
+0.0267993
+0.0266968
+0.026732
+0.0265975
+0.026399
+0.026291
+0.0263515
+0.026593
+0.0270094
+0.0275277
+0.028184
+0.0289568
+0.0297369
+0.0297556
+0.0286734
+0.0277224
+0.0269165
+0.0261893
+0.0256071
+0.0252025
+0.0249591
+0.0248673
+0.0244699
+0.0241717
+0.0240091
+0.0240458
+0.0242748
+0.0242421
+0.0242736
+0.0244057
+0.0246831
+0.0251291
+0.0257544
+0.0265463
+0.0274904
+0.0285715
+0.0297749
+0.0310862
+0.0324676
+0.0339307
+0.0354689
+0.0370728
+0.0387342
+0.040446
+0.0422022
+0.0439973
+0.0458269
+0.0476859
+0.0495712
+0.0514807
+0.0534118
+0.0547865
+0.0550586
+0.0554067
+0.0711147
+0.070775
+0.0705018
+0.0702959
+0.0701577
+0.0700879
+0.0700864
+0.0701534
+0.0702886
+0.0704917
+0.070762
+0.0710989
+0.0715013
+0.0712938
+0.0693501
+0.0674215
+0.0655095
+0.0636153
+0.0617354
+0.0598745
+0.0580366
+0.0562241
+0.0544393
+0.0526852
+0.0509649
+0.0492819
+0.0476071
+0.0459497
+0.0443385
+0.0427789
+0.0412767
+0.0398383
+0.0384709
+0.0371777
+0.0359503
+0.0348177
+0.0337893
+0.0328748
+0.0320579
+0.0313443
+0.0307666
+0.030311
+0.0300036
+0.0297394
+0.0293003
+0.0289986
+0.0288579
+0.0287569
+0.0287959
+0.0286588
+0.0284371
+0.0283349
+0.028391
+0.0286153
+0.0290037
+0.0295008
+0.030112
+0.0308475
+0.0315809
+0.0316286
+0.0306127
+0.0297238
+0.0289669
+0.0282731
+0.0277347
+0.0273616
+0.0271307
+0.0269913
+0.0266256
+0.0263272
+0.026178
+0.0262116
+0.0264167
+0.0264318
+0.0264635
+0.0265876
+0.0268461
+0.0272568
+0.0278343
+0.0285686
+0.0294479
+0.0304596
+0.0315911
+0.03283
+0.0341611
+0.0355546
+0.0370254
+0.0385646
+0.0401643
+0.0418177
+0.0435185
+0.0452615
+0.0470419
+0.0488557
+0.0506993
+0.0525678
+0.0544604
+0.0560677
+0.0563407
+0.0566809
+0.073088
+0.0727575
+0.0724918
+0.0722915
+0.0721572
+0.0720892
+0.0720878
+0.0721529
+0.0722844
+0.0724819
+0.0727449
+0.0730726
+0.0734642
+0.0721365
+0.0702161
+0.068312
+0.0664255
+0.0645556
+0.0627019
+0.0608706
+0.0590637
+0.0572837
+0.055533
+0.0538145
+0.0521315
+0.0504874
+0.048859
+0.0472454
+0.0456799
+0.0441675
+0.042714
+0.0413256
+0.040009
+0.0387475
+0.0375715
+0.0364892
+0.0355092
+0.0346382
+0.0338696
+0.0332018
+0.032657
+0.0322318
+0.031943
+0.0317654
+0.0313502
+0.0310684
+0.0309203
+0.030826
+0.0308614
+0.0307276
+0.0304965
+0.0303993
+0.0304516
+0.0306608
+0.0310236
+0.0315026
+0.0320733
+0.0327679
+0.0334613
+0.0335402
+0.0325839
+0.0317503
+0.0310195
+0.030372
+0.0298714
+0.0295227
+0.0293052
+0.0291252
+0.0287691
+0.0284881
+0.0283502
+0.0283813
+0.0285661
+0.0286216
+0.0286536
+0.0287702
+0.0290132
+0.0293937
+0.02993
+0.0306141
+0.0314362
+0.0323859
+0.0334523
+0.0346246
+0.0358925
+0.0372366
+0.0386434
+0.0401206
+0.0416607
+0.0432569
+0.0449032
+0.0465944
+0.0483258
+0.0500931
+0.0518927
+0.0537214
+0.0555756
+0.057404
+0.0576709
+0.0580099
+0.0750733
+0.0747516
+0.074493
+0.0742981
+0.0741675
+0.0741013
+0.0741
+0.0741633
+0.0742913
+0.0744834
+0.0747393
+0.0750583
+0.0749474
+0.0730352
+0.071139
+0.0692603
+0.0673999
+0.0655538
+0.0637291
+0.0619281
+0.0601531
+0.0584062
+0.0566902
+0.0550079
+0.0533626
+0.0517576
+0.0501657
+0.0485954
+0.0470747
+0.0456086
+0.0442024
+0.0428621
+0.0415874
+0.0403752
+0.039248
+0.0382132
+0.0372786
+0.0364474
+0.0357177
+0.0350889
+0.0345791
+0.0341852
+0.0339129
+0.0337809
+0.0334179
+0.0331537
+0.0329984
+0.0329101
+0.032943
+0.0327895
+0.0325729
+0.0324802
+0.0325292
+0.0327251
+0.0330653
+0.0335275
+0.0340626
+0.0347129
+0.0353681
+0.035484
+0.0345816
+0.0337972
+0.0330893
+0.032483
+0.0320155
+0.0316847
+0.0314819
+0.0312669
+0.0309141
+0.0306532
+0.0305251
+0.030554
+0.0307213
+0.0308115
+0.0308437
+0.0309528
+0.0311837
+0.0315379
+0.0320384
+0.0326783
+0.0334498
+0.0343438
+0.0353512
+0.0364626
+0.0376686
+0.0389606
+0.0403156
+0.0417337
+0.0432163
+0.044757
+0.0463501
+0.0479903
+0.0496731
+0.0513941
+0.0531497
+0.0549365
+0.0567517
+0.0585925
+0.0590522
+0.059389
+0.0770698
+0.0767565
+0.0765046
+0.0763149
+0.0761876
+0.0761233
+0.0761219
+0.0761836
+0.0763082
+0.0764953
+0.0767445
+0.0770552
+0.075876
+0.0739878
+0.0721167
+0.0702641
+0.068427
+0.066609
+0.0648141
+0.0630441
+0.0613014
+0.0595882
+0.0579072
+0.0562613
+0.0546537
+0.0530878
+0.0515317
+0.0500043
+0.0485278
+0.0471069
+0.0457468
+0.0444531
+0.0432192
+0.0420541
+0.040973
+0.0399829
+0.039089
+0.0382964
+0.0376026
+0.0370058
+0.0365303
+0.0361657
+0.0359085
+0.0357838
+0.0355004
+0.0352518
+0.0350901
+0.0350071
+0.035038
+0.034867
+0.0346634
+0.0345746
+0.0346207
+0.0348048
+0.0351249
+0.0355717
+0.0360753
+0.0366797
+0.0372747
+0.0374551
+0.0366013
+0.0358612
+0.0351736
+0.0346039
+0.0341654
+0.0338501
+0.0336603
+0.033415
+0.0330651
+0.0328217
+0.0327021
+0.032729
+0.0328811
+0.0330015
+0.0330339
+0.0331358
+0.0333568
+0.0336882
+0.0341571
+0.0347581
+0.0354844
+0.0363284
+0.0372822
+0.0383376
+0.0394864
+0.0407208
+0.0420331
+0.0433974
+0.044825
+0.0463122
+0.0478536
+0.049444
+0.0510788
+0.052754
+0.0544657
+0.0562108
+0.0579861
+0.0597889
+0.0604814
+0.0608135
+0.0790765
+0.0787712
+0.0785258
+0.078341
+0.078217
+0.0781543
+0.078153
+0.0782131
+0.0783344
+0.0785167
+0.0787595
+0.0787362
+0.0768559
+0.0749923
+0.073147
+0.0713192
+0.0695078
+0.0677188
+0.065954
+0.0642155
+0.0625054
+0.0608262
+0.0591804
+0.0575709
+0.0560009
+0.0544737
+0.0529531
+0.0514679
+0.0500346
+0.0486577
+0.0473422
+0.0460933
+0.0448986
+0.0437782
+0.0427408
+0.0417926
+0.0409359
+0.0401797
+0.039519
+0.0389517
+0.0385007
+0.0381667
+0.0379256
+0.0378076
+0.0375949
+0.0373603
+0.0371933
+0.037115
+0.037144
+0.0369576
+0.0367656
+0.0366804
+0.0367238
+0.0368974
+0.0371995
+0.0376269
+0.0380934
+0.0386634
+0.0391958
+0.0394494
+0.0386397
+0.0379264
+0.0372702
+0.036733
+0.0363202
+0.0360186
+0.0358403
+0.0355683
+0.035221
+0.034993
+0.0348808
+0.0349061
+0.0350449
+0.0351916
+0.0352242
+0.0353197
+0.0355312
+0.0358433
+0.0362844
+0.0368507
+0.0375365
+0.0383354
+0.0392404
+0.0402445
+0.0413404
+0.042521
+0.0437794
+0.0451061
+0.0464813
+0.0479171
+0.0494085
+0.0509503
+0.0525383
+0.0541684
+0.0558368
+0.0575403
+0.0592758
+0.0610405
+0.061955
+0.0622795
+0.0810928
+0.0807951
+0.0805559
+0.0803757
+0.0802549
+0.0801938
+0.0801925
+0.0802511
+0.0803693
+0.080547
+0.0807837
+0.0797411
+0.077885
+0.0760467
+0.0742273
+0.072423
+0.0706399
+0.0688803
+0.0671461
+0.0654392
+0.063762
+0.0621167
+0.060506
+0.0589328
+0.0574
+0.0559037
+0.0544256
+0.0529817
+0.0515904
+0.0502562
+0.0489836
+0.0477729
+0.0466187
+0.0455406
+0.0445443
+0.0436353
+0.0428153
+0.0420929
+0.0414627
+0.0409222
+0.0404933
+0.0401793
+0.0399563
+0.0398417
+0.0396951
+0.039473
+0.039306
+0.0392319
+0.0392592
+0.0390592
+0.0388772
+0.0387955
+0.0388365
+0.0390008
+0.0392867
+0.0396916
+0.0401269
+0.0406684
+0.0411438
+0.0414635
+0.0406939
+0.0399988
+0.039377
+0.038869
+0.0384791
+0.0381897
+0.0380216
+0.0377162
+0.0373809
+0.0371665
+0.0370609
+0.0370847
+0.0372117
+0.0373818
+0.0374146
+0.0375045
+0.0377057
+0.0380025
+0.0384189
+0.0389541
+0.0396035
+0.0403615
+0.0412221
+0.042179
+0.0432259
+0.0443563
+0.0455641
+0.0468432
+0.0481802
+0.0495669
+0.05101
+0.0525049
+0.0540472
+0.0556331
+0.0572589
+0.0589212
+0.0606172
+0.062344
+0.0634701
+0.0637868
+0.0831179
+0.0828275
+0.0825941
+0.0824184
+0.0823006
+0.082241
+0.0822398
+0.0822969
+0.0824122
+0.0825855
+0.0826418
+0.080793
+0.0789616
+0.0771489
+0.075351
+0.0735737
+0.0718191
+0.0700892
+0.0683856
+0.0667105
+0.065066
+0.0634546
+0.0618787
+0.0603413
+0.0588399
+0.0573778
+0.0559451
+0.0545414
+0.053191
+0.0518979
+0.0506666
+0.0494899
+0.0483766
+0.0473386
+0.0463809
+0.0455086
+0.044723
+0.0440319
+0.0434298
+0.0429142
+0.0425053
+0.0422063
+0.0419988
+0.0418889
+0.0418034
+0.0415925
+0.0414268
+0.0413565
+0.0413724
+0.04117
+0.0409967
+0.0409186
+0.0409575
+0.0411132
+0.0413845
+0.0417691
+0.0421761
+0.0426881
+0.0431152
+0.0434947
+0.0427616
+0.042083
+0.0414925
+0.0410107
+0.0406393
+0.0403628
+0.0402038
+0.0398613
+0.0395442
+0.039342
+0.0392422
+0.0392647
+0.0393812
+0.0395721
+0.0396049
+0.0396899
+0.039882
+0.0401651
+0.0405593
+0.0410667
+0.0416832
+0.042404
+0.0432239
+0.0441375
+0.0451389
+0.0462226
+0.0473828
+0.0486141
+0.0499112
+0.0512573
+0.0526541
+0.0541035
+0.0556015
+0.0571443
+0.0587282
+0.0603501
+0.062007
+0.0636962
+0.0650237
+0.0653329
+0.0851512
+0.0848677
+0.08464
+0.0844685
+0.0843536
+0.0842955
+0.0842943
+0.08435
+0.0844625
+0.0846316
+0.0837145
+0.0818899
+0.0800808
+0.0782882
+0.0765164
+0.0747667
+0.0730408
+0.0713405
+0.0696675
+0.068024
+0.0664121
+0.0648341
+0.0632926
+0.0617903
+0.0603219
+0.0588966
+0.0575079
+0.0561434
+0.0548324
+0.0535789
+0.052387
+0.051243
+0.0501686
+0.0491685
+0.0482471
+0.0474092
+0.0466556
+0.0459935
+0.0454174
+0.0449246
+0.0445342
+0.0442489
+0.0440555
+0.04395
+0.0439198
+0.0437191
+0.0435546
+0.0434664
+0.0434672
+0.0432888
+0.0431229
+0.0430484
+0.0430854
+0.0432335
+0.0434916
+0.0438512
+0.0442389
+0.0446934
+0.0451015
+0.0455406
+0.0448382
+0.0441776
+0.0436154
+0.0431573
+0.0428004
+0.0425378
+0.0423869
+0.0420112
+0.0417104
+0.041519
+0.0414245
+0.0414458
+0.0415529
+0.0417377
+0.0417953
+0.0418758
+0.0420598
+0.0423307
+0.0427048
+0.043187
+0.0437736
+0.0444606
+0.0452433
+0.0461168
+0.0470762
+0.0481162
+0.0492319
+0.050418
+0.0516699
+0.0529828
+0.0543367
+0.0557424
+0.0571975
+0.0586983
+0.0602414
+0.0618237
+0.0634421
+0.065094
+0.0666131
+0.0669149
+0.0871921
+0.0869153
+0.086693
+0.0865255
+0.0864134
+0.0863566
+0.0863554
+0.0864098
+0.0865196
+0.0866483
+0.0848297
+0.0830241
+0.0812374
+0.0794709
+0.077726
+0.0760042
+0.0743071
+0.0726364
+0.070994
+0.0693818
+0.0678022
+0.0662573
+0.0647497
+0.0632806
+0.0618459
+0.0604566
+0.0591106
+0.0577839
+0.056511
+0.0552957
+0.0541317
+0.0530254
+0.0519879
+0.0510234
+0.0501362
+0.0493303
+0.0486099
+0.0479749
+0.0474229
+0.0469512
+0.0465778
+0.0463051
+0.0461245
+0.046023
+0.04601
+0.0458517
+0.0456745
+0.0455703
+0.0455711
+0.0454145
+0.045255
+0.0451841
+0.0452193
+0.0453605
+0.0456065
+0.0459432
+0.0463134
+0.0467124
+0.047103
+0.0475913
+0.0469136
+0.046281
+0.0457448
+0.0453082
+0.0449642
+0.0447143
+0.0445472
+0.044165
+0.043879
+0.0436974
+0.0436077
+0.0436278
+0.0437265
+0.0439022
+0.0439857
+0.0440623
+0.0442389
+0.0444986
+0.0448547
+0.045314
+0.0458734
+0.0465294
+0.0472779
+0.0481145
+0.0490348
+0.0500341
+0.0511079
+0.0522515
+0.0534604
+0.0547304
+0.0560544
+0.0574181
+0.0588318
+0.0602919
+0.0617952
+0.0633387
+0.0649193
+0.0665346
+0.068182
+0.0685305
+0.0899822
+0.0880628
+0.0861564
+0.0842638
+0.082386
+0.080524
+0.078679
+0.0768521
+0.0750447
+0.0732581
+0.0714941
+0.0697543
+0.0680405
+0.0663548
+0.0646994
+0.0630763
+0.0614753
+0.0599117
+0.0583884
+0.0569086
+0.055476
+0.0540941
+0.052767
+0.0514989
+0.0502943
+0.0491579
+0.0480945
+0.0471089
+0.0462064
+0.0453754
+0.0446115
+0.0439436
+0.0433762
+0.0429133
+0.0425581
+0.0422917
+0.0421376
+0.0420972
+0.0421706
+0.0423573
+0.0426457
+0.0429148
+0.0432724
+0.043737
+0.0443051
+0.0449729
+0.045736
+0.0465542
+0.0474582
+0.0484445
+0.0495082
+0.0506331
+0.0518238
+0.0530713
+0.0543634
+0.0554659
+0.0566317
+0.0578348
+0.0590847
+0.0603882
+0.0617419
+0.0631426
+0.0645602
+0.0659633
+0.0673797
+0.0688367
+0.0703318
+0.0717691
+0.0713857
+0.0710678
+0.0708163
+0.0706319
+0.0705094
+0.0704473
+0.0704509
+0.0705119
+0.0706408
+0.0708372
+0.0711006
+0.0714215
+0.0718036
+0.0722439
+0.0726312
+0.073077
+0.0735854
+0.0741545
+0.0747591
+0.0754225
+0.0761417
+0.0769048
+0.0777222
+0.0785921
+0.0795104
+0.08047
+0.0814772
+0.0825303
+0.0836247
+0.0847425
+0.0859016
+0.0871003
+0.0889928
+0.0870517
+0.0851226
+0.0832065
+0.0813043
+0.079417
+0.0775456
+0.0756913
+0.0738555
+0.0720395
+0.0702449
+0.0684733
+0.0667266
+0.0650068
+0.0633162
+0.061657
+0.0600319
+0.0584311
+0.0568681
+0.0553478
+0.0538736
+0.0524495
+0.0510797
+0.0497687
+0.0485212
+0.0473422
+0.046237
+0.045211
+0.0442698
+0.0434187
+0.0426633
+0.0420086
+0.0414356
+0.0409507
+0.0405722
+0.0402926
+0.0401308
+0.0400883
+0.0401655
+0.0403515
+0.0405615
+0.0408223
+0.0411981
+0.0416858
+0.0422815
+0.0429808
+0.0437587
+0.0446119
+0.0455545
+0.0465811
+0.0476754
+0.04884
+0.0500685
+0.0513579
+0.0524684
+0.0536099
+0.0548036
+0.0560354
+0.0573245
+0.0586671
+0.0600596
+0.0614757
+0.0628806
+0.0642903
+0.0657428
+0.0672353
+0.0687586
+0.070311
+0.0700657
+0.0697418
+0.0694855
+0.0692975
+0.0691753
+0.0691095
+0.0691022
+0.0691644
+0.0692958
+0.069496
+0.0697641
+0.0700868
+0.0703659
+0.0706904
+0.0710809
+0.0715363
+0.0720556
+0.0726372
+0.0732561
+0.073933
+0.0746623
+0.0754415
+0.0762757
+0.0771631
+0.0781019
+0.0790903
+0.0801263
+0.0811819
+0.0822745
+0.0834104
+0.0845877
+0.0858048
+0.0880469
+0.0860844
+0.0841332
+0.082194
+0.0802678
+0.0783555
+0.0764581
+0.0745768
+0.0727129
+0.0708676
+0.0690425
+0.0672393
+0.0654597
+0.0637057
+0.0619796
+0.0602836
+0.0586204
+0.0569929
+0.0553929
+0.0538308
+0.0523139
+0.0508462
+0.049432
+0.048076
+0.0467834
+0.0455595
+0.0444099
+0.0433407
+0.0423579
+0.0414677
+0.040676
+0.0399888
+0.0394116
+0.0389492
+0.0385924
+0.0383144
+0.0381443
+0.0380996
+0.0381709
+0.0383066
+0.0384658
+0.0387407
+0.0391365
+0.0396496
+0.0402754
+0.0410068
+0.0418014
+0.0426937
+0.0436777
+0.0447368
+0.0458714
+0.047078
+0.048348
+0.0494833
+0.0505973
+0.05178
+0.0529917
+0.0542647
+0.0555949
+0.0569783
+0.0583926
+0.0597996
+0.0612018
+0.0626493
+0.0641389
+0.0656614
+0.067214
+0.0688013
+0.0687793
+0.0684493
+0.0681881
+0.0679966
+0.0678752
+0.0678047
+0.0677974
+0.0678607
+0.0679946
+0.0681987
+0.0683698
+0.0685711
+0.0688343
+0.0691659
+0.069565
+0.0700303
+0.0705606
+0.0711535
+0.0717834
+0.0724741
+0.0732162
+0.0740107
+0.0748608
+0.0757648
+0.0767208
+0.0777267
+0.0787807
+0.0798505
+0.0809611
+0.0821151
+0.0833107
+0.0845463
+0.0871457
+0.0851625
+0.0831896
+0.081228
+0.0792783
+0.0773415
+0.0754186
+0.0735107
+0.071619
+0.0697448
+0.0678896
+0.0660549
+0.0642425
+0.0624544
+0.0606926
+0.0589596
+0.057258
+0.0555907
+0.0539607
+0.0523616
+0.0508009
+0.0492881
+0.0478278
+0.046425
+0.0450851
+0.0438138
+0.0426172
+0.0415018
+0.0404744
+0.0395417
+0.0387107
+0.037988
+0.0373799
+0.036892
+0.0365195
+0.03626
+0.0361316
+0.0361248
+0.0361751
+0.0362137
+0.0363813
+0.0366719
+0.0370897
+0.0376307
+0.0382896
+0.0390344
+0.0398683
+0.0408029
+0.0418212
+0.042921
+0.0441024
+0.0453499
+0.0465129
+0.0475956
+0.0487528
+0.0499548
+0.0512095
+0.0525257
+0.0538988
+0.0553111
+0.0567204
+0.0581143
+0.0595563
+0.0610428
+0.0625644
+0.0641171
+0.0657061
+0.067329
+0.0675394
+0.0672034
+0.0669373
+0.0667422
+0.0666134
+0.0665389
+0.0665314
+0.066596
+0.066635
+0.0667043
+0.0668453
+0.0670575
+0.0673381
+0.0676771
+0.0680849
+0.0685603
+0.0691019
+0.0697032
+0.0703461
+0.0710507
+0.0718079
+0.0726178
+0.0734841
+0.0744048
+0.0753779
+0.0764015
+0.0774736
+0.0785576
+0.0796862
+0.0808584
+0.0820724
+0.0833195
+0.0862908
+0.0842874
+0.0822936
+0.0803101
+0.0783376
+0.0763769
+0.0744291
+0.0724952
+0.0705763
+0.0686736
+0.0667886
+0.0649228
+0.0630779
+0.0612558
+0.0594585
+0.0576885
+0.0559482
+0.0542406
+0.0525689
+0.0509365
+0.0493387
+0.0477796
+0.0462718
+0.0448203
+0.0434309
+0.0421097
+0.0408632
+0.0396986
+0.0386232
+0.0376447
+0.0367709
+0.0360092
+0.0353671
+0.0348511
+0.0344613
+0.0341861
+0.0340499
+0.0340544
+0.0340922
+0.0341331
+0.03431
+0.034618
+0.0350603
+0.0356321
+0.0363183
+0.0370866
+0.0379632
+0.0389337
+0.039993
+0.0411418
+0.0423662
+0.0435604
+0.0446072
+0.045735
+0.0469258
+0.0481598
+0.0494602
+0.0508217
+0.0522317
+0.0536434
+0.0550281
+0.0564638
+0.0579469
+0.0594674
+0.0610203
+0.0626113
+0.0642376
+0.0658884
+0.0663488
+0.0660066
+0.0657358
+0.0655365
+0.065397
+0.0653221
+0.0651913
+0.0651291
+0.0651404
+0.0652144
+0.0653586
+0.0655757
+0.0658649
+0.0662133
+0.0666301
+0.0671158
+0.0676689
+0.0682879
+0.0689484
+0.0696672
+0.0704395
+0.071265
+0.0721475
+0.0730851
+0.0740756
+0.0751169
+0.0762043
+0.0773052
+0.0784518
+0.0796422
+0.0808674
+0.0821316
+0.0854835
+0.0834608
+0.0814467
+0.079442
+0.0774474
+0.0754636
+0.0734916
+0.0715324
+0.0695869
+0.0676564
+0.0657423
+0.0638459
+0.0619689
+0.0601132
+0.0582807
+0.0564738
+0.0546949
+0.0529469
+0.0512329
+0.0495565
+0.0479217
+0.0463257
+0.0447689
+0.0432671
+0.0418261
+0.0404524
+0.0391533
+0.0379362
+0.0368094
+0.0357813
+0.0348608
+0.0340565
+0.0333768
+0.0328295
+0.0324204
+0.0321277
+0.0319828
+0.0319875
+0.0320236
+0.0320671
+0.0322545
+0.0325819
+0.0330515
+0.0336575
+0.0343561
+0.0351673
+0.0360813
+0.0370927
+0.0382031
+0.0394001
+0.0406131
+0.0416348
+0.0427288
+0.0439049
+0.0451167
+0.0463989
+0.0477472
+0.0491545
+0.050569
+0.0519432
+0.053372
+0.0548512
+0.0563706
+0.0579236
+0.0595168
+0.0611469
+0.0628003
+0.0644758
+0.06521
+0.0648618
+0.0645862
+0.064361
+0.0640858
+0.0638724
+0.0637335
+0.0636699
+0.0636815
+0.063765
+0.0639124
+0.0641344
+0.0644301
+0.0647906
+0.0652164
+0.0657126
+0.0662774
+0.0669093
+0.0675929
+0.0683259
+0.0691136
+0.0699546
+0.0708535
+0.071808
+0.0728158
+0.0738725
+0.0749558
+0.0760814
+0.0772462
+0.0784549
+0.0797031
+0.0809855
+0.0847251
+0.0826838
+0.0806504
+0.0786254
+0.0766095
+0.0746035
+0.0726081
+0.0706244
+0.0686532
+0.0666957
+0.0647531
+0.0628269
+0.0609185
+0.0590298
+0.0571626
+0.0553191
+0.0535019
+0.0517136
+0.0499573
+0.0482366
+0.0465554
+0.0449182
+0.0433247
+0.041771
+0.0402765
+0.0388481
+0.0374934
+0.0362206
+0.0350386
+0.033957
+0.0329856
+0.0321344
+0.0314131
+0.030831
+0.030396
+0.030088
+0.0299332
+0.0299383
+0.0299723
+0.0300189
+0.030218
+0.0305672
+0.0310673
+0.031689
+0.0324232
+0.0332728
+0.034227
+0.0352916
+0.036456
+0.0376671
+0.0386821
+0.0397366
+0.0408814
+0.0420817
+0.0433429
+0.044676
+0.0460747
+0.0474924
+0.04886
+0.050281
+0.0517557
+0.0532739
+0.0548271
+0.0564227
+0.0580569
+0.0597133
+0.0613923
+0.0631002
+0.0640809
+0.06361
+0.0632115
+0.0628868
+0.0626371
+0.0624523
+0.0623108
+0.0622456
+0.0622575
+0.0623464
+0.0625096
+0.0627365
+0.0630388
+0.0634093
+0.0638444
+0.0643511
+0.0649278
+0.0655727
+0.066282
+0.0670294
+0.0678324
+0.0686892
+0.0696044
+0.0705757
+0.0715887
+0.0726392
+0.0737398
+0.074882
+0.0760652
+0.0772923
+0.0785605
+0.0798674
+0.0840171
+0.0819582
+0.0799062
+0.0778619
+0.0758257
+0.0737984
+0.0717806
+0.0697733
+0.0677774
+0.0657939
+0.0638239
+0.0618687
+0.0599299
+0.0580089
+0.0561078
+0.0542285
+0.0523734
+0.0505452
+0.0487468
+0.0469818
+0.045254
+0.0435679
+0.0419284
+0.0403384
+0.0387888
+0.0373035
+0.0358905
+0.0345587
+0.0333178
+0.0321784
+0.0311516
+0.0302488
+0.0294815
+0.0288604
+0.0283952
+0.0280693
+0.0279033
+0.0279088
+0.0279423
+0.0279922
+0.0282047
+0.0285785
+0.0291074
+0.0297441
+0.0305204
+0.0314055
+0.0324147
+0.0335369
+0.0347307
+0.0357454
+0.036762
+0.0378701
+0.0390565
+0.0402933
+0.0416088
+0.0429957
+0.0444111
+0.0457789
+0.0471909
+0.0486607
+0.0501774
+0.0517309
+0.053329
+0.054967
+0.0566274
+0.0583103
+0.060026
+0.0617717
+0.0626232
+0.0621907
+0.0617875
+0.0614553
+0.0611998
+0.0610127
+0.0608979
+0.0608572
+0.0608694
+0.0609603
+0.0611297
+0.0613763
+0.0616861
+0.0620708
+0.0625168
+0.0630342
+0.0636229
+0.0642809
+0.065006
+0.0657803
+0.0665987
+0.0674712
+0.0684027
+0.0693665
+0.070382
+0.0714502
+0.0725679
+0.0737216
+0.0749208
+0.0761642
+0.0774495
+0.0787748
+0.0833606
+0.081285
+0.0792157
+0.077153
+0.0750976
+0.0730501
+0.0710111
+0.0689814
+0.0669619
+0.0649534
+0.0629572
+0.0609742
+0.059006
+0.057054
+0.0551199
+0.0532057
+0.0513136
+0.0494462
+0.0476064
+0.0457975
+0.0440232
+0.0422881
+0.0405969
+0.0389556
+0.0373703
+0.0358263
+0.0343526
+0.0329587
+0.0316552
+0.0304536
+0.0293665
+0.0284071
+0.0275886
+0.0269239
+0.0264246
+0.0260741
+0.0258953
+0.0259012
+0.0259384
+0.0259921
+0.0262197
+0.0266214
+0.0271544
+0.0278358
+0.0286412
+0.0295826
+0.0306519
+0.0318225
+0.0328341
+0.0338096
+0.0348739
+0.03604
+0.0372518
+0.0385465
+0.0399196
+0.0413323
+0.0427001
+0.044102
+0.045566
+0.0470812
+0.0486348
+0.0502359
+0.0518771
+0.0535401
+0.0552302
+0.0569544
+0.0587097
+0.0604934
+0.0611455
+0.0607228
+0.0603562
+0.0600654
+0.0598082
+0.0596189
+0.0595013
+0.0594643
+0.059508
+0.0596225
+0.0597957
+0.0600483
+0.0603752
+0.0607682
+0.0612372
+0.061767
+0.0623676
+0.0630387
+0.063778
+0.0645814
+0.0654151
+0.0662944
+0.0672136
+0.0681907
+0.0692235
+0.0703063
+0.071431
+0.0726027
+0.0738201
+0.0750817
+0.0763853
+0.0777287
+0.0827569
+0.0806658
+0.0785802
+0.0765004
+0.074427
+0.0723604
+0.0703015
+0.0682507
+0.0662088
+0.0641768
+0.0621556
+0.0601463
+0.05815
+0.0561682
+0.0542026
+0.0522548
+0.050327
+0.0484216
+0.0465412
+0.0446892
+0.0428691
+0.0410852
+0.0393424
+0.0376465
+0.036004
+0.0344226
+0.0328887
+0.03143
+0.0300603
+0.0287922
+0.0276399
+0.0266183
+0.025743
+0.0250293
+0.0244914
+0.0241128
+0.0239194
+0.0239258
+0.0239672
+0.0240253
+0.0242702
+0.024682
+0.0252404
+0.0259525
+0.0268094
+0.0278129
+0.0289455
+0.0299277
+0.0308769
+0.0318972
+0.0330231
+0.0342203
+0.0354905
+0.0368472
+0.0382566
+0.0396244
+0.0410144
+0.0424719
+0.0439851
+0.045539
+0.0471435
+0.0487871
+0.0504541
+0.0521521
+0.0538858
+0.0556517
+0.0574468
+0.0592685
+0.0596856
+0.0592581
+0.058909
+0.058626
+0.0584059
+0.0582674
+0.0581538
+0.0581159
+0.0581606
+0.0582876
+0.0584965
+0.0587714
+0.0591097
+0.0595175
+0.0599965
+0.0605474
+0.0611604
+0.0618449
+0.0625986
+0.0634191
+0.0642627
+0.0651369
+0.0660722
+0.067066
+0.0681106
+0.0692016
+0.0703439
+0.0715334
+0.0727687
+0.0740482
+0.0753697
+0.0767309
+0.0821864
+0.0800885
+0.0779957
+0.0759053
+0.0738152
+0.0717311
+0.0696535
+0.067583
+0.0655204
+0.0634664
+0.0614218
+0.0593876
+0.0573649
+0.0553551
+0.0533595
+0.0513797
+0.0494178
+0.0474759
+0.0455566
+0.0436628
+0.041798
+0.0399664
+0.0381725
+0.0364222
+0.0347218
+0.0330791
+0.0315033
+0.0299835
+0.0285445
+0.0272059
+0.0259833
+0.0248938
+0.0239555
+0.0231869
+0.0226053
+0.0221945
+0.0219842
+0.0219705
+0.0220375
+0.0221007
+0.0223654
+0.0227709
+0.0233653
+0.0241154
+0.0250353
+0.026107
+0.0270354
+0.0279737
+0.028946
+0.0300228
+0.031202
+0.0324424
+0.0337795
+0.0351848
+0.0365525
+0.0379285
+0.0393784
+0.0408894
+0.0424436
+0.0440518
+0.045698
+0.0473696
+0.0490766
+0.0508207
+0.0525983
+0.054406
+0.0562409
+0.0581004
+0.0582666
+0.0578335
+0.0574758
+0.0571997
+0.0570066
+0.056867
+0.0568092
+0.05682
+0.0568657
+0.0569957
+0.0572092
+0.0574983
+0.0578601
+0.0582954
+0.0587967
+0.0593629
+0.0599976
+0.0606953
+0.0614631
+0.0622986
+0.063144
+0.0640334
+0.0649846
+0.0659874
+0.0670413
+0.0681494
+0.069309
+0.070516
+0.0717688
+0.0730658
+0.0744047
+0.0757833
+0.0816689
+0.0795573
+0.0774502
+0.0753478
+0.0732507
+0.0711591
+0.069069
+0.0669805
+0.0648987
+0.0628243
+0.0607581
+0.0587009
+0.0566538
+0.0546178
+0.0525942
+0.0505845
+0.0485905
+0.0466141
+0.0446578
+0.0427241
+0.0408165
+0.0389387
+0.0370952
+0.0352914
+0.0335338
+0.0318299
+0.0301889
+0.0286215
+0.0271211
+0.0257085
+0.024411
+0.0232479
+0.0222404
+0.0214103
+0.0207789
+0.0202746
+0.0199648
+0.0198792
+0.0200343
+0.0202303
+0.0204732
+0.0209148
+0.0215304
+0.0223422
+0.0233321
+0.024194
+0.025117
+0.0260197
+0.0270445
+0.028194
+0.0294049
+0.0307179
+0.0321181
+0.0334854
+0.0348448
+0.0362856
+0.0377941
+0.0393485
+0.0409612
+0.04261
+0.0442871
+0.0460042
+0.04776
+0.0495505
+0.051372
+0.0532213
+0.0550957
+0.0569927
+0.0568844
+0.0564512
+0.0560878
+0.0557882
+0.0555735
+0.0554445
+0.0554019
+0.055446
+0.0555764
+0.0557598
+0.055977
+0.0562633
+0.056633
+0.0570844
+0.0576156
+0.058209
+0.0588762
+0.0596024
+0.0603857
+0.0612359
+0.0620824
+0.0629869
+0.0639438
+0.064957
+0.0660273
+0.0671521
+0.0683287
+0.0695527
+0.0708226
+0.0721366
+0.0734924
+0.0747253
+0.0812071
+0.0790833
+0.0769632
+0.0748471
+0.0727355
+0.0706287
+0.0685272
+0.0664314
+0.0643419
+0.0622528
+0.0601669
+0.0580888
+0.0560193
+0.0539593
+0.0519101
+0.0498729
+0.0478492
+0.0458409
+0.04385
+0.0418792
+0.0399312
+0.0380097
+0.0361188
+0.0342636
+0.0324504
+0.0306864
+0.0289807
+0.0273442
+0.02579
+0.0243133
+0.0229371
+0.0216951
+0.020588
+0.0195939
+0.0188035
+0.0182434
+0.0179074
+0.0178119
+0.0179848
+0.0184018
+0.0186361
+0.0190986
+0.019768
+0.0206425
+0.021416
+0.0222879
+0.0231293
+0.0240964
+0.02519
+0.0263813
+0.0276644
+0.0290563
+0.0304246
+0.0317639
+0.0331939
+0.0346993
+0.036254
+0.0378717
+0.0395236
+0.0412069
+0.0429354
+0.0447044
+0.0465093
+0.0483461
+0.0502114
+0.0521019
+0.0540151
+0.0559459
+0.0554919
+0.0550487
+0.0546897
+0.0543987
+0.0541784
+0.0540462
+0.0540025
+0.0540477
+0.0541814
+0.0544032
+0.0547118
+0.0550695
+0.0554639
+0.0559261
+0.0564682
+0.0570893
+0.0577785
+0.0585257
+0.0593369
+0.0602169
+0.061081
+0.0619877
+0.0629562
+0.063985
+0.0650714
+0.0662124
+0.0674054
+0.0686459
+0.0699322
+0.0711126
+0.0722725
+0.0734625
+0.0808022
+0.0786674
+0.0765358
+0.0744076
+0.0722831
+0.0701627
+0.0680468
+0.0659357
+0.0638301
+0.0617303
+0.059635
+0.0575459
+0.0554641
+0.0533828
+0.0513105
+0.0492485
+0.047198
+0.0451608
+0.0431386
+0.0411336
+0.0391486
+0.0371866
+0.0352516
+0.0333483
+0.0314823
+0.0296608
+0.0278924
+0.026188
+0.0245608
+0.023006
+0.0215034
+0.020104
+0.0188475
+0.0177562
+0.01688
+0.0162538
+0.0158856
+0.0157779
+0.0159728
+0.0164595
+0.0168705
+0.0173659
+0.0180762
+0.0187342
+0.01948
+0.0203002
+0.0211816
+0.0222119
+0.0233773
+0.0246221
+0.0259922
+0.0273722
+0.0286867
+0.0301034
+0.0316051
+0.0331602
+0.0347822
+0.0364366
+0.0381296
+0.0398711
+0.0416551
+0.0434762
+0.0453301
+0.0472128
+0.049121
+0.0510495
+0.0529961
+0.0546791
+0.0541468
+0.0536925
+0.0533244
+0.0530354
+0.052827
+0.0527018
+0.052657
+0.0527033
+0.0528405
+0.0530679
+0.0533842
+0.053788
+0.0542672
+0.0548071
+0.0553769
+0.0560169
+0.0567276
+0.0574989
+0.0583301
+0.0592307
+0.0601276
+0.061047
+0.0620302
+0.0630742
+0.064176
+0.0653326
+0.0665018
+0.0676486
+0.0687357
+0.0698393
+0.0709933
+0.0721953
+0.0804351
+0.0783037
+0.076164
+0.0740272
+0.0718937
+0.0697625
+0.067634
+0.0655097
+0.0633898
+0.061275
+0.0591635
+0.0570572
+0.0549574
+0.052865
+0.050781
+0.0487062
+0.0466408
+0.0445781
+0.0425281
+0.040493
+0.0384749
+0.0364767
+0.0345019
+0.0325548
+0.0306405
+0.0287658
+0.0269387
+0.0251698
+0.0234078
+0.0216911
+0.0200668
+0.0185594
+0.0171995
+0.0160076
+0.0150298
+0.0143229
+0.013915
+0.0137919
+0.0140145
+0.0145379
+0.0151956
+0.0156884
+0.0162015
+0.0167747
+0.0175621
+0.0183137
+0.0192717
+0.0203887
+0.0215957
+0.0229373
+0.0243313
+0.0256146
+0.0270147
+0.0285118
+0.0300672
+0.0316906
+0.0333508
+0.035056
+0.0368125
+0.0386135
+0.0404529
+0.0423258
+0.0442279
+0.0461537
+0.0480989
+0.0500644
+0.0520478
+0.0533878
+0.0528447
+0.0523802
+0.0520027
+0.0517155
+0.0515073
+0.0513862
+0.0513584
+0.0514173
+0.0515579
+0.0517908
+0.0521149
+0.0525285
+0.0530133
+0.0535819
+0.0542331
+0.054964
+0.0557071
+0.0565067
+0.0573789
+0.0582961
+0.0592385
+0.0601451
+0.0610668
+0.0620521
+0.0630981
+0.0642019
+0.0653321
+0.0663728
+0.0674438
+0.0685681
+0.0697432
+0.0709664
+0.0797902
+0.0778976
+0.0757683
+0.0736426
+0.0715208
+0.0694033
+0.06728
+0.0651466
+0.0630171
+0.0608919
+0.05877
+0.056649
+0.0545335
+0.0524243
+0.0503219
+0.0482275
+0.0461419
+0.0440666
+0.042003
+0.0399529
+0.0379099
+0.0358833
+0.033877
+0.0318923
+0.0299358
+0.0280139
+0.0260743
+0.0241706
+0.0223115
+0.0205032
+0.0187765
+0.0171561
+0.0156749
+0.0143761
+0.0132793
+0.0124736
+0.0120173
+0.011878
+0.0121357
+0.0126977
+0.0135115
+0.0138997
+0.0142305
+0.01488
+0.0155345
+0.0163794
+0.0174163
+0.0185914
+0.0198955
+0.0212909
+0.0225495
+0.0239285
+0.0254196
+0.0269755
+0.0286004
+0.0302676
+0.0319871
+0.0337611
+0.0355817
+0.0374419
+0.0393362
+0.0412584
+0.0432019
+0.045168
+0.0471538
+0.0491066
+0.0510512
+0.0521566
+0.0516005
+0.0511281
+0.0507413
+0.0504469
+0.0502461
+0.0501243
+0.0500958
+0.050163
+0.0503255
+0.0505765
+0.0509083
+0.0513271
+0.0518217
+0.0524032
+0.0530689
+0.0538156
+0.0546399
+0.0555385
+0.0564387
+0.0572879
+0.0580898
+0.0589622
+0.0598847
+0.0608587
+0.061895
+0.0629905
+0.0640725
+0.0651077
+0.0661992
+0.0673443
+0.0684879
+0.0696701
+0.0783529
+0.0770889
+0.075402
+0.0732656
+0.0711326
+0.0690032
+0.0668777
+0.0647566
+0.0626403
+0.0605292
+0.058424
+0.0563142
+0.0541919
+0.052072
+0.0499548
+0.0478443
+0.0457413
+0.0436469
+0.0415625
+0.0394895
+0.03743
+0.0353863
+0.0333571
+0.0313382
+0.0292854
+0.0272542
+0.0252496
+0.0232785
+0.0213503
+0.0194777
+0.0176645
+0.0159314
+0.0143241
+0.01289
+0.0116541
+0.010727
+0.0101928
+0.0100281
+0.0103318
+0.0109749
+0.0117661
+0.0119508
+0.012334
+0.0129014
+0.0135577
+0.0144965
+0.0156239
+0.016873
+0.0182562
+0.0194949
+0.0208458
+0.0223291
+0.0238851
+0.0255121
+0.0271877
+0.0289244
+0.0307191
+0.0325624
+0.0344463
+0.0363641
+0.0383053
+0.0402721
+0.0422609
+0.0442098
+0.0461528
+0.0481135
+0.0500872
+0.0509017
+0.0503782
+0.0499407
+0.0495447
+0.0492431
+0.0490375
+0.0489277
+0.0488987
+0.0489676
+0.0491341
+0.0493973
+0.0497557
+0.0501904
+0.0506967
+0.051291
+0.051971
+0.0527332
+0.0535742
+0.0544737
+0.05534
+0.0560679
+0.056871
+0.057738
+0.0586659
+0.0596599
+0.0607166
+0.0618109
+0.0628235
+0.0638675
+0.0649251
+0.0660179
+0.0671608
+0.0683543
+0.076937
+0.0756589
+0.0744135
+0.0729525
+0.0708101
+0.0686707
+0.0665346
+0.0644022
+0.0622738
+0.0601499
+0.058031
+0.0559175
+0.0538103
+0.05171
+0.0496176
+0.047534
+0.0454429
+0.0433341
+0.0412338
+0.0391435
+0.0370647
+0.0349996
+0.0328921
+0.0307954
+0.0287127
+0.0266469
+0.0245929
+0.0225646
+0.0205696
+0.0186186
+0.0167271
+0.0149178
+0.0132006
+0.0116287
+0.0102418
+0.00917307
+0.00854225
+0.00834153
+0.00867687
+0.00938101
+0.0099062
+0.0101014
+0.0105164
+0.0108874
+0.0116577
+0.0126994
+0.0138838
+0.0152471
+0.0164566
+0.0177684
+0.0192384
+0.0207948
+0.0224265
+0.0241125
+0.0258701
+0.0276895
+0.0295593
+0.0314705
+0.0334092
+0.0353769
+0.0373694
+0.0393135
+0.0412543
+0.0432154
+0.0451907
+0.047185
+0.0491961
+0.0496713
+0.0491346
+0.0486907
+0.048332
+0.0480614
+0.0478895
+0.0477878
+0.0477723
+0.0478427
+0.0480131
+0.0482825
+0.048649
+0.0490936
+0.0496291
+0.0502498
+0.0509436
+0.051721
+0.0525124
+0.0533077
+0.0541078
+0.0548521
+0.0556727
+0.0565578
+0.0575048
+0.0585184
+0.0595879
+0.0605647
+0.0615206
+0.0625357
+0.0635903
+0.0647019
+0.0658578
+0.0670553
+0.0755068
+0.0742506
+0.0729969
+0.0717722
+0.0705542
+0.0684067
+0.0662621
+0.0641207
+0.0619826
+0.0598484
+0.0577184
+0.0555931
+0.0534731
+0.051359
+0.0492517
+0.0471519
+0.0450608
+0.0429796
+0.0409098
+0.0388533
+0.0367793
+0.0346408
+0.0325093
+0.0303861
+0.0282733
+0.0261733
+0.0240894
+0.0220263
+0.0199903
+0.0179867
+0.0160208
+0.0141212
+0.0123186
+0.0106261
+0.00910835
+0.00788754
+0.0071316
+0.00688837
+0.00723272
+0.00793487
+0.00816669
+0.00821571
+0.00847748
+0.00894694
+0.00984339
+0.0109553
+0.0122822
+0.0134454
+0.0146997
+0.0161504
+0.0177072
+0.0193443
+0.0210441
+0.0228277
+0.0246769
+0.0265781
+0.0285141
+0.0304828
+0.0324801
+0.0344177
+0.0363559
+0.0383174
+0.0402946
+0.0422929
+0.0443094
+0.0463416
+0.0483877
+0.0485086
+0.047959
+0.0475041
+0.0471363
+0.0468588
+0.0466825
+0.0466087
+0.0466377
+0.0467695
+0.0469515
+0.0472268
+0.0476014
+0.0480701
+0.0486184
+0.0492566
+0.049946
+0.0505927
+0.0513243
+0.0521158
+0.0529377
+0.0536836
+0.0545045
+0.0553893
+0.0563392
+0.0573567
+0.058329
+0.05924
+0.0602005
+0.0612129
+0.0622832
+0.0634017
+0.0645702
+0.0657908
+0.0740365
+0.0728155
+0.0715964
+0.0703706
+0.0691688
+0.0680164
+0.0660613
+0.0639131
+0.0617678
+0.0596259
+0.0574877
+0.0553535
+0.053224
+0.0510996
+0.0489811
+0.0468692
+0.0447649
+0.0426692
+0.0405836
+0.0385097
+0.0364495
+0.0344053
+0.0322709
+0.0301309
+0.0279989
+0.0258766
+0.0237667
+0.0216729
+0.0196003
+0.0175563
+0.0155524
+0.0136061
+0.0117294
+0.00996568
+0.00834811
+0.00700032
+0.00607659
+0.00570846
+0.00596878
+0.00606524
+0.00613125
+0.00621277
+0.00653367
+0.00711022
+0.00815043
+0.00937149
+0.0104293
+0.0116462
+0.0130672
+0.0146241
+0.0162614
+0.0179858
+0.0198025
+0.0216885
+0.0236203
+0.0255905
+0.027594
+0.0295229
+0.0314576
+0.0334196
+0.0353993
+0.0374024
+0.0394256
+0.0414657
+0.0435205
+0.045588
+0.0476665
+0.0473774
+0.0468343
+0.0463884
+0.0460139
+0.0457296
+0.0455489
+0.0454733
+0.045503
+0.0456381
+0.0458774
+0.0462195
+0.0466302
+0.0471087
+0.0476532
+0.048184
+0.0487793
+0.0494406
+0.0501687
+0.0509395
+0.051729
+0.0524891
+0.0533263
+0.054207
+0.0551606
+0.0561752
+0.0570176
+0.0579216
+0.0588888
+0.0599206
+0.0610038
+0.0621401
+0.0633318
+0.0645759
+0.0725912
+0.0713536
+0.0701573
+0.0689792
+0.067784
+0.0666078
+0.0654836
+0.0637249
+0.061577
+0.0594322
+0.0572909
+0.0551534
+0.0530177
+0.0508856
+0.0487586
+0.0466371
+0.0445211
+0.0424122
+0.040312
+0.038222
+0.0361438
+0.0340798
+0.0320327
+0.0300058
+0.0278738
+0.0257436
+0.0236245
+0.0215197
+0.0194339
+0.0173739
+0.0153502
+0.0133791
+0.0114775
+0.0096771
+0.00796362
+0.0065108
+0.00537375
+0.00473143
+0.00417478
+0.00412848
+0.00420805
+0.00438512
+0.00476766
+0.00550105
+0.00655953
+0.00747314
+0.00862263
+0.0099933
+0.011539
+0.0131857
+0.0149439
+0.0168039
+0.0187289
+0.020701
+0.0227132
+0.0246296
+0.0265593
+0.0285221
+0.0305049
+0.0325144
+0.034546
+0.0365959
+0.0386613
+0.0407397
+0.0428294
+0.0449286
+0.0469307
+0.0462986
+0.0457427
+0.045286
+0.0449316
+0.0446749
+0.0444899
+0.0444124
+0.0444428
+0.044581
+0.0448259
+0.0451759
+0.0456285
+0.0460668
+0.0465176
+0.047026
+0.0475997
+0.0482194
+0.0489295
+0.0497261
+0.0505576
+0.0513205
+0.0521546
+0.0530547
+0.0539954
+0.0548707
+0.0557188
+0.056639
+0.0576278
+0.0586715
+0.0597718
+0.0609311
+0.062146
+0.0633477
+0.0711841
+0.0699215
+0.0687056
+0.0675366
+0.0663826
+0.0652073
+0.06407
+0.0629846
+0.0614415
+0.0592918
+0.0571452
+0.0550021
+0.0528603
+0.0507215
+0.0485874
+0.0464586
+0.0443357
+0.0422198
+0.040112
+0.0380135
+0.035926
+0.0338516
+0.0317928
+0.0297387
+0.0276913
+0.0256676
+0.0236646
+0.0215637
+0.0194826
+0.0174284
+0.0154118
+0.0134498
+0.0115363
+0.00968564
+0.00790875
+0.00627052
+0.00460191
+0.00315888
+0.00249841
+0.00244391
+0.00266673
+0.00286902
+0.00339007
+0.00412717
+0.00467737
+0.0056799
+0.00694091
+0.00846243
+0.0101237
+0.0119309
+0.0138427
+0.0158172
+0.0178422
+0.0197388
+0.0216611
+0.0236249
+0.0256121
+0.0276301
+0.0296726
+0.0317349
+0.0338133
+0.0359051
+0.038008
+0.0401203
+0.0422406
+0.0443678
+0.0458727
+0.0452482
+0.0447224
+0.0442647
+0.0439021
+0.0436465
+0.0434938
+0.0434191
+0.0434502
+0.0435916
+0.0438421
+0.0441998
+0.0445552
+0.0448977
+0.0453391
+0.0458391
+0.046379
+0.0470149
+0.0477429
+0.0485589
+0.0493908
+0.0501118
+0.0509168
+0.0517976
+0.0527421
+0.0536031
+0.054471
+0.0554072
+0.0564012
+0.0574615
+0.0585846
+0.0597524
+0.0608978
+0.0620941
+0.0697512
+0.0685296
+0.0672885
+0.0660968
+0.0649572
+0.0638046
+0.0626517
+0.0615452
+0.0604899
+0.0589753
+0.0568155
+0.0546582
+0.0525036
+0.0503521
+0.0482042
+0.0460603
+0.0439211
+0.0417871
+0.0396593
+0.0375388
+0.0354253
+0.0333167
+0.0312194
+0.0291358
+0.0270692
+0.0250168
+0.0229843
+0.0209801
+0.0189645
+0.0169924
+0.0150807
+0.0131664
+0.0112926
+0.00934372
+0.0073732
+0.00544001
+0.00370881
+0.00228688
+0.00157475
+0.00162596
+0.00192526
+0.00220987
+0.00197661
+0.00228917
+0.00282186
+0.00395963
+0.0054106
+0.00709311
+0.00896996
+0.0109465
+0.0129847
+0.0148531
+0.0167632
+0.0187285
+0.0207221
+0.0227519
+0.0248092
+0.0268875
+0.0289824
+0.0310905
+0.0332092
+0.0353368
+0.0374716
+0.0396125
+0.0417586
+0.0439091
+0.0448592
+0.0442359
+0.043698
+0.0432644
+0.0429321
+0.0426925
+0.0425268
+0.0424676
+0.0425213
+0.0426876
+0.0428567
+0.0430504
+0.0433174
+0.0436649
+0.0441186
+0.0446181
+0.0451727
+0.0458253
+0.046572
+0.0474081
+0.0480887
+0.0488294
+0.0496381
+0.0505095
+0.0514501
+0.0523803
+0.0532632
+0.054208
+0.0552224
+0.0562882
+0.0573735
+0.0584841
+0.0596525
+0.0608588
+0.0682631
+0.0670895
+0.0659138
+0.0646968
+0.063532
+0.0624224
+0.0612653
+0.0601471
+0.0590683
+0.0579865
+0.0565266
+0.0543578
+0.0521909
+0.050026
+0.0478634
+0.0457035
+0.0435467
+0.0413935
+0.0392444
+0.0371002
+0.0349617
+0.0328301
+0.0307069
+0.0285938
+0.0264925
+0.0243987
+0.0223234
+0.0202725
+0.0182462
+0.016253
+0.0142505
+0.0123029
+0.010452
+0.00856706
+0.00676198
+0.00491917
+0.00329403
+0.00214879
+0.00083737
+0.000194804
+0.00025075
+0.000192765
+4.71e-05
+0.000636122
+0.00128551
+0.00247443
+0.00415804
+0.00612048
+0.00812604
+0.00997927
+0.0118657
+0.0138333
+0.0158373
+0.0178849
+0.0199629
+0.0220627
+0.0241786
+0.0263068
+0.0284445
+0.0305897
+0.0327409
+0.0348945
+0.0370454
+0.0392006
+0.0413596
+0.0435218
+0.0438147
+0.0432192
+0.0427122
+0.0422887
+0.0419449
+0.0416996
+0.0415684
+0.0415525
+0.0415952
+0.0415765
+0.0416386
+0.0418155
+0.0421059
+0.0425072
+0.0429753
+0.0434666
+0.0440357
+0.0447049
+0.0454699
+0.0461757
+0.0468197
+0.0475412
+0.0483512
+0.0492407
+0.0501964
+0.0512169
+0.0521018
+0.0530357
+0.0540355
+0.0550516
+0.0561267
+0.0572539
+0.0584349
+0.0596375
+0.0668109
+0.0656364
+0.0644639
+0.0633167
+0.0621514
+0.0610167
+0.0599099
+0.0587689
+0.0576885
+0.0565252
+0.0553901
+0.0541432
+0.0519683
+0.0497941
+0.047621
+0.0454496
+0.0432802
+0.041113
+0.0389484
+0.0367869
+0.0346291
+0.0324757
+0.0303277
+0.0281862
+0.0260529
+0.0239299
+0.0218204
+0.0197285
+0.0176606
+0.0156127
+0.0136085
+0.0116615
+0.00972061
+0.0078722
+0.00609377
+0.00446165
+0.0029576
+0.00195686
+-2.64701e-05
+-0.00136319
+-0.00096157
+-0.00069259
+-0.000442859
+-0.000150257
+0.000211172
+0.00142166
+0.00337169
+0.00513869
+0.00696962
+0.00893891
+0.0109633
+0.0130411
+0.0151502
+0.0172794
+0.0194223
+0.0215748
+0.0237263
+0.0258782
+0.028036
+0.0301986
+0.032365
+0.0345344
+0.0367064
+0.0388805
+0.0410563
+0.0432336
+0.0428395
+0.0422314
+0.0417284
+0.0413235
+0.0410028
+0.040761
+0.0405582
+0.0403995
+0.0403363
+0.0403607
+0.0404247
+0.0406069
+0.0409058
+0.0413189
+0.041803
+0.0423422
+0.0429455
+0.0436317
+0.0443643
+0.0449118
+0.0455582
+0.0462994
+0.0471306
+0.0480293
+0.0490086
+0.0500516
+0.0508887
+0.051805
+0.0527749
+0.0538036
+0.0549004
+0.0560567
+0.0572518
+0.0584664
+0.0653889
+0.0642004
+0.0630503
+0.061882
+0.0607619
+0.0596583
+0.0585573
+0.0574205
+0.0562667
+0.0550897
+0.0539461
+0.0528465
+0.0518161
+0.0496409
+0.0474625
+0.0452853
+0.0431094
+0.0409351
+0.0387626
+0.0365923
+0.0344246
+0.03226
+0.0300991
+0.0279428
+0.0257911
+0.0236452
+0.0215077
+0.0193822
+0.0172729
+0.0151867
+0.0131345
+0.0111353
+0.00922341
+0.00736727
+0.00559964
+0.00404901
+0.00277574
+0.00115104
+-0.000420202
+-0.00101634
+-0.00185446
+-0.00163242
+-0.00144302
+-0.00108062
+-0.000601823
+0.000521587
+0.00208507
+0.00404781
+0.00612423
+0.00825906
+0.0104126
+0.012562
+0.0147157
+0.016879
+0.0190486
+0.0212224
+0.0233995
+0.0255788
+0.02776
+0.0299425
+0.0321261
+0.0343107
+0.036496
+0.0386819
+0.0408683
+0.0426773
+0.0419553
+0.0413361
+0.0407616
+0.0402488
+0.0398501
+0.0395687
+0.0392909
+0.0391083
+0.0390469
+0.0390718
+0.0391382
+0.0393268
+0.0396357
+0.0400621
+0.0406025
+0.0411573
+0.0418022
+0.0425503
+0.0431273
+0.0436903
+0.0443546
+0.0451155
+0.0459683
+0.046889
+0.0478917
+0.048769
+0.049628
+0.0505661
+0.0515454
+0.0525978
+0.0536967
+0.054849
+0.0560616
+0.0572836
+0.0640007
+0.0627957
+0.0616349
+0.0604874
+0.0593495
+0.0582598
+0.0572244
+0.0560946
+0.0548614
+0.0536535
+0.0525028
+0.0514141
+0.0503602
+0.0493752
+0.0474013
+0.0452211
+0.043042
+0.0408641
+0.0386876
+0.0365129
+0.0343402
+0.0321699
+0.0300026
+0.0278389
+0.0256798
+0.0235266
+0.0213809
+0.0192455
+0.017124
+0.0150223
+0.0129502
+0.0109135
+0.00892688
+0.00705998
+0.00536674
+0.00372192
+0.00198943
+0.000423459
+-0.000365178
+-0.000997457
+-0.00256488
+-0.00288113
+-0.00155755
+-0.000995873
+-0.000343204
+-0.000346834
+0.00143108
+0.00359623
+0.00577386
+0.00795567
+0.0101413
+0.0123287
+0.0145172
+0.0167062
+0.0188956
+0.0210852
+0.0232751
+0.0254651
+0.0276552
+0.0298454
+0.0320357
+0.034226
+0.0364164
+0.0384787
+0.0404863
+0.0418211
+0.0409939
+0.040269
+0.0396322
+0.0391046
+0.0386541
+0.0383151
+0.0380654
+0.0378999
+0.0378358
+0.0378205
+0.0379136
+0.0381252
+0.0384438
+0.0388833
+0.0394398
+0.0400296
+0.0406959
+0.041445
+0.0419683
+0.0425466
+0.0432284
+0.0440088
+0.0448687
+0.0458107
+0.0467379
+0.0475329
+0.0484072
+0.0493397
+0.0503384
+0.0513958
+0.0525128
+0.0536793
+0.0548971
+0.0561357
+0.0624936
+0.0613852
+0.0602443
+0.0591203
+0.0579768
+0.0568727
+0.0558176
+0.0548074
+0.0535088
+0.0522697
+0.0510878
+0.0499683
+0.0489214
+0.0479384
+0.0469986
+0.045263
+0.043086
+0.0409105
+0.0387366
+0.0365648
+0.0343954
+0.0322288
+0.0300657
+0.0279069
+0.0257536
+0.0236071
+0.0214569
+0.0193113
+0.017177
+0.0150589
+0.0129649
+0.010909
+0.00891756
+0.00692103
+0.00488134
+0.00292259
+0.00123113
+0.000133098
+-0.000390985
+-0.00161839
+-0.00273545
+-0.0027681
+-0.00120065
+0.00024386
+2.78603e-05
+-0.000106409
+0.00180032
+0.00390889
+0.00601442
+0.00814137
+0.0102951
+0.0124617
+0.0146355
+0.0168137
+0.0189942
+0.021175
+0.0233565
+0.0255395
+0.0277237
+0.0297105
+0.0316695
+0.0336571
+0.0356621
+0.0376839
+0.0397237
+0.0407262
+0.039885
+0.0391377
+0.038484
+0.0379156
+0.0374595
+0.0371096
+0.0368728
+0.0367034
+0.036634
+0.0365992
+0.0366955
+0.0369216
+0.0372754
+0.0377532
+0.0383293
+0.0389016
+0.0395869
+0.040354
+0.0408938
+0.0414872
+0.0421861
+0.0429708
+0.0438442
+0.0447531
+0.045529
+0.0463387
+0.0472165
+0.048161
+0.0491676
+0.0502349
+0.0513539
+0.0525393
+0.0537617
+0.0550196
+0.0609934
+0.0598572
+0.0587807
+0.0577083
+0.0566224
+0.0555255
+0.0544573
+0.0534433
+0.0522131
+0.0509425
+0.0497291
+0.0485783
+0.0475007
+0.0465015
+0.0455854
+0.0447055
+0.0432321
+0.0410556
+0.0388806
+0.0367075
+0.0345366
+0.0323684
+0.0302034
+0.0280425
+0.0258865
+0.0237368
+0.0215955
+0.0194651
+0.0173497
+0.0152556
+0.0130941
+0.0109355
+0.00879117
+0.00667696
+0.00463416
+0.00273007
+0.00119695
+6.59326e-05
+-0.00076122
+-0.00165001
+-0.00203033
+-0.0034189
+-0.00190789
+-0.000441683
+0.00143041
+0.00114065
+0.00254347
+0.00456044
+0.00662164
+0.0087024
+0.01079
+0.0129117
+0.01503
+0.0171582
+0.0190981
+0.0209788
+0.0229147
+0.0248928
+0.0268763
+0.0288597
+0.0308611
+0.0328862
+0.0349314
+0.0368872
+0.0388479
+0.0393527
+0.038624
+0.0380004
+0.0373751
+0.0367865
+0.0363207
+0.0359824
+0.0357218
+0.035547
+0.0354878
+0.0354713
+0.0355706
+0.0358039
+0.0361686
+0.0366608
+0.0372232
+0.0378329
+0.0385551
+0.039334
+0.0399108
+0.0405186
+0.0412187
+0.0420143
+0.0428675
+0.0435769
+0.0443759
+0.0451846
+0.0460834
+0.0470111
+0.0480048
+0.0490728
+0.0501841
+0.0513544
+0.0525787
+0.0538642
+0.0595212
+0.0583715
+0.0572671
+0.0562264
+0.055178
+0.0541408
+0.0531419
+0.0521132
+0.0509739
+0.0496717
+0.0484313
+0.047249
+0.0461404
+0.045111
+0.0441664
+0.0433121
+0.0425059
+0.0412447
+0.0390802
+0.0369189
+0.0347612
+0.0326079
+0.03046
+0.0283186
+0.0261854
+0.0240531
+0.0218825
+0.0197164
+0.0175563
+0.015405
+0.0132665
+0.0111483
+0.00903831
+0.00693889
+0.00488473
+0.00292687
+0.00133779
+0.000199379
+-0.000932652
+-0.000270587
+-0.000734407
+-0.00248341
+-0.00317806
+-0.00152488
+-1.27221e-05
+0.00190865
+0.00361992
+0.00541366
+0.00717617
+0.00908086
+0.0109046
+0.0125993
+0.0143647
+0.0162032
+0.0181196
+0.0200921
+0.0221058
+0.0240977
+0.0260963
+0.0281233
+0.0301732
+0.0321205
+0.0340767
+0.0360571
+0.0380606
+0.0380095
+0.0372642
+0.0366202
+0.0360584
+0.0355462
+0.0350947
+0.0347211
+0.0344608
+0.0343336
+0.0341966
+0.0341865
+0.0343166
+0.0345852
+0.0349604
+0.0354171
+0.0360002
+0.036696
+0.0375059
+0.0383198
+0.0390117
+0.0396315
+0.0403397
+0.0411275
+0.0417288
+0.0424349
+0.0431645
+0.0439615
+0.0448373
+0.0457735
+0.0467925
+0.0478739
+0.0490124
+0.0502102
+0.0514617
+0.0527744
+0.0580694
+0.0569234
+0.0557903
+0.0547215
+0.0537199
+0.052706
+0.0517144
+0.050791
+0.049793
+0.048459
+0.047189
+0.0459857
+0.0448459
+0.0437861
+0.0428122
+0.0419278
+0.0411138
+0.0404024
+0.0394008
+0.0372581
+0.0351213
+0.0329755
+0.0308104
+0.0286493
+0.026493
+0.0243428
+0.0222006
+0.0200508
+0.0178929
+0.0157442
+0.0136088
+0.0114942
+0.00941445
+0.00730681
+0.0052397
+0.00331483
+0.00179001
+0.00033416
+-0.000330249
+0.000451246
+0.000483157
+-0.00129778
+-0.00326068
+-0.0026021
+-0.00100296
+0.000770261
+0.0023879
+0.00426716
+0.00628926
+0.00808743
+0.00974872
+0.0115313
+0.0133996
+0.0153534
+0.0173638
+0.0193814
+0.0213829
+0.0234045
+0.0253929
+0.0273862
+0.0293358
+0.0313173
+0.0333207
+0.0353435
+0.0373853
+0.0366904
+0.0359413
+0.0353083
+0.0347431
+0.0342026
+0.0337358
+0.0333469
+0.0330988
+0.0329758
+0.032968
+0.0329576
+0.0330925
+0.0333709
+0.0337314
+0.0342045
+0.0348094
+0.0355392
+0.0363861
+0.0372213
+0.038112
+0.0388403
+0.0394587
+0.0399652
+0.0405838
+0.0412125
+0.0419322
+0.0427522
+0.0436481
+0.0446092
+0.0456393
+0.0467202
+0.0478755
+0.0491015
+0.0503901
+0.051673
+0.0566651
+0.0555153
+0.0543528
+0.0532552
+0.052213
+0.0512155
+0.0502579
+0.0493108
+0.0484417
+0.0473167
+0.0460153
+0.0447832
+0.0436175
+0.0425218
+0.0415125
+0.040595
+0.03977
+0.039034
+0.0384045
+0.0376298
+0.0354782
+0.0333317
+0.0311703
+0.0290124
+0.0268598
+0.0247139
+0.0225767
+0.0204507
+0.0183399
+0.0162385
+0.0141213
+0.0120284
+0.0099757
+0.00796061
+0.0060624
+0.00444213
+0.00305263
+0.00125531
+2.36586e-05
+-2.5862e-05
+0.00127778
+-0.000459379
+-0.00180349
+-0.00295799
+-0.00183419
+-4.0447e-05
+0.00174002
+0.00362305
+0.00546665
+0.00707051
+0.00885908
+0.0107587
+0.0127408
+0.0147805
+0.0167158
+0.0186688
+0.0206602
+0.0226728
+0.0246507
+0.0266204
+0.0286223
+0.03065
+0.0326942
+0.0347536
+0.0362818
+0.0354251
+0.0346661
+0.0340155
+0.0333789
+0.032835
+0.0324141
+0.032058
+0.0317998
+0.0316912
+0.0317114
+0.0318321
+0.0319718
+0.0322556
+0.0326033
+0.0330926
+0.0337174
+0.0344623
+0.0352563
+0.0360772
+0.0369959
+0.0379683
+0.0383696
+0.0388212
+0.0393872
+0.0400151
+0.0407263
+0.041541
+0.0424418
+0.0434296
+0.0444815
+0.0455851
+0.0467552
+0.0479969
+0.0492826
+0.0505419
+0.0552835
+0.0540617
+0.0529025
+0.05181
+0.0507324
+0.0497104
+0.0487654
+0.0478706
+0.0469747
+0.0461503
+0.0449177
+0.0436547
+0.0424508
+0.0413242
+0.0402845
+0.0393383
+0.0384937
+0.0377433
+0.0370966
+0.0365568
+0.0358596
+0.0337172
+0.0315814
+0.0294536
+0.0273358
+0.025226
+0.023105
+0.0209985
+0.018911
+0.0168498
+0.0148037
+0.0127959
+0.0108591
+0.00903903
+0.00742196
+0.00607148
+0.00434441
+0.00291556
+0.0019625
+0.00150031
+0.002405
+0.00054596
+-0.000702576
+-0.002158
+-0.00215834
+-0.000633552
+0.00120536
+0.00287025
+0.00466645
+0.00644768
+0.0082886
+0.0102676
+0.0121344
+0.014039
+0.0160022
+0.0180174
+0.0200627
+0.0220116
+0.023998
+0.0260172
+0.0280621
+0.0301275
+0.0321734
+0.0341792
+0.0350496
+0.0341897
+0.0333664
+0.0326333
+0.0320142
+0.0315061
+0.0311098
+0.0308339
+0.0305765
+0.0304636
+0.0304875
+0.0305733
+0.0307708
+0.0311
+0.0314918
+0.031998
+0.0326431
+0.0333367
+0.0341569
+0.0350298
+0.0359753
+0.0367983
+0.0372122
+0.0376781
+0.0381904
+0.0388115
+0.0395443
+0.0403754
+0.0412964
+0.042311
+0.0433695
+0.0444901
+0.0456856
+0.0469333
+0.0481737
+0.04948
+0.0539111
+0.0526583
+0.0514675
+0.0503439
+0.0492921
+0.0482525
+0.0472784
+0.0463874
+0.0455389
+0.0446938
+0.0437807
+0.0425951
+0.0413547
+0.0401956
+0.0391248
+0.0381499
+0.0372784
+0.0365176
+0.0358568
+0.0353116
+0.0348869
+0.0342371
+0.0321136
+0.0299997
+0.0278976
+0.0258103
+0.0237417
+0.021697
+0.0196647
+0.0176661
+0.0157188
+0.0138444
+0.0120769
+0.0104707
+0.00905891
+0.00743963
+0.00595427
+0.00483933
+0.00393813
+0.00366735
+0.00330491
+0.00186835
+0.000312736
+-0.000830616
+-0.00136522
+-0.00043105
+0.000848456
+0.00253364
+0.00398865
+0.00585356
+0.00783534
+0.009657
+0.0115334
+0.0135048
+0.015535
+0.0175603
+0.019508
+0.0215024
+0.0235318
+0.0255878
+0.0276645
+0.0296679
+0.031681
+0.0337162
+0.0338484
+0.0328725
+0.032017
+0.0312917
+0.0306646
+0.0301643
+0.0298056
+0.0295538
+0.0293483
+0.0292318
+0.0291828
+0.0292785
+0.0295191
+0.0298422
+0.0302174
+0.0307446
+0.031416
+0.0322226
+0.0331266
+0.0340385
+0.0350097
+0.0356926
+0.0361181
+0.0365367
+0.0370571
+0.0376968
+0.0384465
+0.0392907
+0.0402193
+0.0412378
+0.0423063
+0.0434436
+0.0446085
+0.0458104
+0.0470803
+0.048416
+0.0525904
+0.0513095
+0.050087
+0.0489317
+0.0478488
+0.0468434
+0.0458479
+0.0449262
+0.0440694
+0.0432601
+0.0424131
+0.0412985
+0.0402723
+0.0391481
+0.0380479
+0.0370447
+0.0361465
+0.0353614
+0.0346971
+0.0341417
+0.0337114
+0.0331499
+0.0324033
+0.0306497
+0.0285954
+0.026563
+0.0245407
+0.0225486
+0.0205969
+0.0186981
+0.0168704
+0.0151392
+0.0135418
+0.0121021
+0.0105354
+0.00903113
+0.00779155
+0.00680999
+0.0060316
+0.00583867
+0.00455381
+0.00284923
+0.00162644
+-7.81073e-05
+-5.323e-05
+-0.000263698
+0.000700678
+0.00228335
+0.00412158
+0.00599159
+0.00758571
+0.00938729
+0.0113085
+0.0133132
+0.0152697
+0.017199
+0.0191834
+0.0212071
+0.023259
+0.0253011
+0.0272845
+0.0292975
+0.0313344
+0.032173
+0.0325976
+0.0316419
+0.0307522
+0.0299963
+0.0293628
+0.0288721
+0.0285197
+0.0283221
+0.0281482
+0.0280134
+0.0279624
+0.0280826
+0.0283037
+0.0286495
+0.0290402
+0.0295882
+0.0302851
+0.0311209
+0.0320848
+0.033053
+0.033987
+0.0346451
+0.0350206
+0.0354336
+0.0359751
+0.0366176
+0.0373749
+0.0382392
+0.0391838
+0.0402064
+0.0413007
+0.0423828
+0.0435352
+0.0447625
+0.0460613
+0.0474258
+0.0513193
+0.0500161
+0.0487611
+0.0475736
+0.0464591
+0.045423
+0.0444377
+0.0434858
+0.0426001
+0.0418105
+0.0410476
+0.039966
+0.0389047
+0.0379403
+0.0370693
+0.0360388
+0.035115
+0.0343063
+0.0336211
+0.0330619
+0.0326299
+0.0320134
+0.031254
+0.0305967
+0.0294241
+0.0274368
+0.0254828
+0.0235704
+0.0217108
+0.0199185
+0.0182136
+0.016623
+0.0151676
+0.0136314
+0.0121188
+0.0108089
+0.0097364
+0.00879888
+0.00817617
+0.00738595
+0.00572288
+0.00437674
+0.00281104
+0.00163019
+0.000809341
+0.000687182
+0.00108409
+0.002846
+0.00426281
+0.00607937
+0.0078743
+0.009622
+0.0113893
+0.0132062
+0.0151111
+0.0170689
+0.0190619
+0.0210941
+0.0230795
+0.0250579
+0.0270592
+0.0286968
+0.029409
+0.0301597
+0.0310472
+0.0304581
+0.0295791
+0.0287919
+0.0281409
+0.0276285
+0.0272829
+0.0270596
+0.0268799
+0.0268553
+0.0267932
+0.0268496
+0.0270504
+0.0274243
+0.0279465
+0.0285155
+0.029238
+0.0301029
+0.0310793
+0.0320051
+0.0327198
+0.0333915
+0.0339476
+0.0344274
+0.0349681
+0.0356258
+0.0363595
+0.0371937
+0.0381229
+0.0391486
+0.0402128
+0.0413109
+0.0424938
+0.0437544
+0.0450316
+0.0462862
+0.0500663
+0.0487867
+0.0474993
+0.0462795
+0.045133
+0.0440657
+0.0430531
+0.042073
+0.0411809
+0.0403704
+0.0396646
+0.0386573
+0.0375837
+0.0365968
+0.0357048
+0.0349222
+0.0341928
+0.0333618
+0.0326568
+0.0320808
+0.0316361
+0.0309147
+0.0301673
+0.029482
+0.0289054
+0.0283909
+0.0265725
+0.0247445
+0.0229801
+0.0212949
+0.0197095
+0.0182438
+0.016728
+0.0152107
+0.0138469
+0.0126822
+0.0116987
+0.0108392
+0.0103357
+0.00868918
+0.00716288
+0.00576174
+0.00427469
+0.00286149
+0.00215339
+0.00180978
+0.00244922
+0.00315566
+0.00465779
+0.00640799
+0.00809841
+0.00980807
+0.0115972
+0.013386
+0.0152684
+0.0172084
+0.0191352
+0.0210323
+0.0229817
+0.0249712
+0.0259849
+0.0266636
+0.0273678
+0.028173
+0.0291211
+0.0293818
+0.0284954
+0.0276999
+0.0270358
+0.0265079
+0.0261475
+0.025868
+0.0257208
+0.0255887
+0.0255964
+0.0256528
+0.0258951
+0.0262965
+0.0268602
+0.0275514
+0.0282986
+0.0291331
+0.0299826
+0.0308497
+0.0314504
+0.0321434
+0.0328751
+0.0333416
+0.0339433
+0.0345716
+0.0352979
+0.0361386
+0.0370873
+0.0381361
+0.0391976
+0.0403234
+0.0414914
+0.0426344
+0.0438237
+0.0450501
+0.0488795
+0.0476265
+0.0463068
+0.0450547
+0.0438763
+0.0427777
+0.0417377
+0.040726
+0.0398092
+0.0389842
+0.0382528
+0.037273
+0.0362609
+0.0352963
+0.0343973
+0.033598
+0.0329027
+0.0323267
+0.0317007
+0.0309625
+0.0303403
+0.0297608
+0.0289629
+0.0283075
+0.0278097
+0.0273839
+0.026903
+0.0260502
+0.0243805
+0.0227991
+0.0213244
+0.0198251
+0.0183043
+0.0169066
+0.0156838
+0.0146341
+0.0136866
+0.0129288
+0.0116731
+0.0100837
+0.00866645
+0.00721345
+0.00571413
+0.00453926
+0.00354246
+0.0035626
+0.00362974
+0.00425797
+0.00521249
+0.00651253
+0.00820085
+0.0100837
+0.0120073
+0.0138977
+0.0157321
+0.0174541
+0.0192678
+0.0211531
+0.0230127
+0.0233692
+0.0239218
+0.0246491
+0.0253516
+0.0262188
+0.027235
+0.0282192
+0.0273616
+0.0265802
+0.0259436
+0.0253702
+0.0249562
+0.024658
+0.0244912
+0.0243525
+0.024408
+0.024483
+0.024724
+0.0251325
+0.0257176
+0.0264187
+0.0272278
+0.0279897
+0.0288703
+0.0296622
+0.0302821
+0.030989
+0.0318313
+0.0323025
+0.0328694
+0.0334956
+0.0342406
+0.0351067
+0.0360851
+0.0371671
+0.0382305
+0.0392407
+0.0402881
+0.041348
+0.0424916
+0.0437151
+0.0477637
+0.0465241
+0.0451891
+0.0439051
+0.042695
+0.0415652
+0.0404979
+0.0394546
+0.0385075
+0.0376643
+0.036917
+0.0359525
+0.0349021
+0.0339607
+0.0331307
+0.0323201
+0.03162
+0.0310503
+0.0304426
+0.0296732
+0.0290489
+0.0284935
+0.0278107
+0.0271617
+0.026609
+0.0261517
+0.0258419
+0.0255556
+0.0253527
+0.0244074
+0.0229225
+0.0213975
+0.0199782
+0.0187056
+0.0175772
+0.0165931
+0.0157031
+0.0146795
+0.0130858
+0.0116204
+0.0102465
+0.0087184
+0.0073451
+0.00610556
+0.00540896
+0.00509875
+0.00523702
+0.00528055
+0.00593173
+0.00718124
+0.00874244
+0.0105295
+0.0124462
+0.0143497
+0.0161663
+0.017868
+0.0196454
+0.0207191
+0.0208858
+0.021278
+0.0218835
+0.0226027
+0.0233668
+0.0243049
+0.0253979
+0.0266261
+0.0261363
+0.0254226
+0.0247969
+0.0242459
+0.0238156
+0.0234868
+0.0232943
+0.023146
+0.0231791
+0.0232443
+0.0235091
+0.0239383
+0.0245562
+0.0253281
+0.0261034
+0.0269196
+0.0278291
+0.0285881
+0.0292186
+0.0299507
+0.0307619
+0.0312015
+0.0317862
+0.0324514
+0.0332198
+0.0341118
+0.0351179
+0.0361329
+0.0369543
+0.0378589
+0.0388584
+0.0399531
+0.0411355
+0.0423895
+0.0467241
+0.0454561
+0.044135
+0.0428368
+0.0415956
+0.0404351
+0.0393372
+0.0382665
+0.0372893
+0.0364178
+0.0354923
+0.0345003
+0.0336219
+0.0326532
+0.0317963
+0.0310418
+0.0304166
+0.0298318
+0.0291511
+0.0284415
+0.0277901
+0.0272957
+0.0266987
+0.0260839
+0.0254615
+0.0249505
+0.0246243
+0.0244906
+0.0245277
+0.0244936
+0.024492
+0.0230569
+0.0217438
+0.0205645
+0.0195321
+0.0185751
+0.017717
+0.016123
+0.0146341
+0.0133096
+0.0117714
+0.0102592
+0.00890432
+0.00793233
+0.00720564
+0.00682866
+0.006773
+0.00666179
+0.00720197
+0.0082816
+0.00973233
+0.0113861
+0.0129576
+0.0146749
+0.0165047
+0.0184134
+0.0186595
+0.018588
+0.0187737
+0.019209
+0.0198699
+0.020586
+0.0214222
+0.0224418
+0.0236211
+0.0245976
+0.0250143
+0.024271
+0.0236835
+0.0231494
+0.0226623
+0.0222949
+0.0220701
+0.0219134
+0.0219334
+0.0220022
+0.0222872
+0.0227755
+0.0234241
+0.0241293
+0.0249415
+0.025865
+0.0268044
+0.0276333
+0.0282851
+0.0290407
+0.0296931
+0.0301483
+0.0307531
+0.0314986
+0.0322897
+0.0332067
+0.0339766
+0.0347121
+0.0355304
+0.0364622
+0.037499
+0.0386323
+0.0398455
+0.0411189
+0.0457487
+0.0444704
+0.0431625
+0.0418391
+0.0405764
+0.0393854
+0.0382668
+0.0371656
+0.0361628
+0.0351828
+0.0340569
+0.0330219
+0.0321031
+0.0312934
+0.0305443
+0.0297572
+0.0291136
+0.0286236
+0.0278554
+0.0271034
+0.0264714
+0.0259558
+0.025585
+0.0251055
+0.0243911
+0.0238571
+0.0235158
+0.0233757
+0.0234404
+0.0236528
+0.0238851
+0.0240923
+0.0235794
+0.0224737
+0.0214895
+0.0205834
+0.0191781
+0.0176751
+0.0163284
+0.0148422
+0.0132337
+0.0118139
+0.0106586
+0.00967626
+0.0089756
+0.00871587
+0.00839253
+0.0083674
+0.00882457
+0.00974425
+0.0109504
+0.0121977
+0.0136724
+0.0153098
+0.0170716
+0.0169194
+0.0165532
+0.0164726
+0.0166818
+0.0171702
+0.0178757
+0.0186087
+0.0195297
+0.020643
+0.0219193
+0.0224729
+0.0231046
+0.0232222
+0.0225249
+0.0220083
+0.0215586
+0.0212067
+0.0209512
+0.0207862
+0.0207706
+0.0208432
+0.0211438
+0.0216496
+0.0223324
+0.0230203
+0.0238686
+0.0248254
+0.0257913
+0.0268207
+0.0274596
+0.0282043
+0.0286836
+0.0291545
+0.0297795
+0.0305478
+0.0314221
+0.0319754
+0.0325972
+0.0333275
+0.034179
+0.0351467
+0.0362211
+0.0373852
+0.0386006
+0.0398759
+0.0448553
+0.0435542
+0.0422811
+0.0409292
+0.0396362
+0.0384161
+0.0372731
+0.0361623
+0.0350788
+0.0338239
+0.0326679
+0.0316107
+0.0306509
+0.0298177
+0.0291009
+0.0285306
+0.0279123
+0.0274008
+0.0266529
+0.0258604
+0.025217
+0.0247037
+0.0243103
+0.0240177
+0.0234707
+0.0229152
+0.0225597
+0.0224137
+0.0224798
+0.0226772
+0.0230462
+0.0230457
+0.0231782
+0.023509
+0.0234669
+0.022245
+0.0207328
+0.019351
+0.0178596
+0.0162544
+0.0148002
+0.0135457
+0.0124059
+0.0114695
+0.0108849
+0.0106717
+0.0102271
+0.0102089
+0.0105917
+0.0112169
+0.0121217
+0.0132917
+0.0146673
+0.016218
+0.0156062
+0.0148895
+0.0144719
+0.0143797
+0.0146189
+0.0151523
+0.0159015
+0.0166849
+0.0177062
+0.018927
+0.0198578
+0.0203619
+0.021045
+0.0219073
+0.0213906
+0.020833
+0.0203708
+0.0200656
+0.0198523
+0.0197722
+0.0196687
+0.0197754
+0.0200851
+0.0205857
+0.0212564
+0.0219607
+0.0228098
+0.0238307
+0.0248912
+0.0259665
+0.0267125
+0.0274632
+0.0277825
+0.0282685
+0.0288294
+0.0294758
+0.0301416
+0.0306409
+0.0312767
+0.032033
+0.0329181
+0.0339217
+0.0350036
+0.0361611
+0.0373908
+0.0387011
+0.0440328
+0.0427067
+0.0414539
+0.0401185
+0.038797
+0.0375497
+0.0363552
+0.0352155
+0.0338577
+0.0325558
+0.0313531
+0.0302613
+0.0292681
+0.0284015
+0.0276689
+0.0270728
+0.026618
+0.0262939
+0.0255477
+0.0247476
+0.0240762
+0.0235525
+0.0231391
+0.0229073
+0.0226471
+0.0221153
+0.0217467
+0.0215951
+0.0216652
+0.0218783
+0.0221673
+0.0221361
+0.0222653
+0.0226071
+0.0231287
+0.023801
+0.0223942
+0.0209006
+0.0192997
+0.0178247
+0.0165094
+0.0152583
+0.0141924
+0.0133815
+0.012876
+0.0125752
+0.01218
+0.0121666
+0.0122751
+0.0127357
+0.0135394
+0.0146064
+0.0158886
+0.0148062
+0.013719
+0.0128977
+0.0124134
+0.0123057
+0.0125844
+0.0131725
+0.0139483
+0.0148352
+0.0159752
+0.0173108
+0.0177065
+0.0182628
+0.0190148
+0.0198906
+0.0203941
+0.0197604
+0.0192628
+0.0189689
+0.0187745
+0.0186898
+0.0185981
+0.018718
+0.0190196
+0.0195475
+0.0202605
+0.0209897
+0.0218758
+0.0228183
+0.0238782
+0.0250825
+0.0260055
+0.0263981
+0.0266606
+0.027041
+0.0275545
+0.0282206
+0.0288852
+0.0294059
+0.0300537
+0.03084
+0.0317327
+0.0327363
+0.0338296
+0.0350036
+0.0362679
+0.0376174
+0.0433051
+0.041956
+0.0406801
+0.039413
+0.0380656
+0.0367935
+0.0355487
+0.034158
+0.0327379
+0.0313896
+0.0301403
+0.0290026
+0.0279629
+0.0270546
+0.0262979
+0.025706
+0.0252541
+0.0249448
+0.0245449
+0.0237258
+0.0230416
+0.0224972
+0.0220642
+0.021801
+0.0217563
+0.0215094
+0.0211303
+0.0209743
+0.0210464
+0.0212758
+0.0214519
+0.0213714
+0.0215147
+0.0218552
+0.0223862
+0.0230505
+0.0238301
+0.0223564
+0.0208675
+0.0194018
+0.01807
+0.016918
+0.0159833
+0.0152817
+0.0148314
+0.0145444
+0.0141219
+0.0139144
+0.0140171
+0.0144221
+0.0151365
+0.0160828
+0.0145492
+0.0131332
+0.0119253
+0.0109707
+0.0103969
+0.0102681
+0.0105979
+0.0112628
+0.0120769
+0.0130911
+0.0143655
+0.0152189
+0.0155661
+0.0161804
+0.0170244
+0.0179148
+0.0190114
+0.0188493
+0.018339
+0.0180272
+0.0178454
+0.0177109
+0.017678
+0.017791
+0.0181422
+0.0186978
+0.0193259
+0.0200884
+0.0209129
+0.0218527
+0.0229637
+0.0242222
+0.0250794
+0.0251655
+0.0254407
+0.025844
+0.0263717
+0.0270662
+0.0277452
+0.0282759
+0.028916
+0.0296981
+0.0306073
+0.0316225
+0.0327356
+0.0339431
+0.0352455
+0.0366216
+0.0426776
+0.0413079
+0.0400114
+0.0387954
+0.0374446
+0.0361454
+0.0346968
+0.0331635
+0.031706
+0.0303111
+0.0290136
+0.0278282
+0.0267699
+0.0258208
+0.0250268
+0.0244042
+0.0239663
+0.0236778
+0.0235572
+0.0228383
+0.0221498
+0.0215555
+0.0211157
+0.0208667
+0.02082
+0.0209358
+0.0206868
+0.0205275
+0.0206011
+0.0208727
+0.020879
+0.0207962
+0.0209435
+0.0212807
+0.0218048
+0.0224683
+0.0230353
+0.0228275
+0.0223369
+0.0209627
+0.0197365
+0.0186875
+0.017835
+0.0172014
+0.0166779
+0.0164254
+0.0159491
+0.0157656
+0.0158598
+0.015473
+0.0145693
+0.013954
+0.0132072
+0.011629
+0.0102576
+0.00916282
+0.00846742
+0.00830876
+0.00857088
+0.00921443
+0.010195
+0.0114964
+0.0129019
+0.0130383
+0.0134419
+0.0141304
+0.0149983
+0.0159952
+0.0172038
+0.0181325
+0.0175919
+0.0172343
+0.0170438
+0.01688
+0.0169247
+0.0170214
+0.0173882
+0.0179131
+0.0184856
+0.0192861
+0.0200781
+0.0210552
+0.022206
+0.0234128
+0.0239795
+0.0240696
+0.0243572
+0.0247576
+0.0253079
+0.0260148
+0.0267077
+0.0272019
+0.0278569
+0.0286354
+0.0295562
+0.0305892
+0.0317273
+0.0329718
+0.0343113
+0.0357217
+0.0421546
+0.0407674
+0.0394532
+0.0382194
+0.0366928
+0.035108
+0.0335913
+0.0321524
+0.0307446
+0.0293355
+0.0280024
+0.0267735
+0.025673
+0.0247076
+0.0238829
+0.0232296
+0.0227692
+0.0224973
+0.0224118
+0.0220149
+0.0213976
+0.0207707
+0.0203467
+0.0201035
+0.020055
+0.0202426
+0.0204661
+0.0203049
+0.0203794
+0.0206539
+0.020525
+0.0204408
+0.0205539
+0.0208892
+0.0214136
+0.0220339
+0.0222581
+0.0220506
+0.0219373
+0.0219631
+0.0214972
+0.0205382
+0.0197212
+0.0190598
+0.0185993
+0.0182849
+0.017832
+0.0163723
+0.0148899
+0.0136001
+0.0125624
+0.0118433
+0.0114204
+0.0103723
+0.00880729
+0.00754826
+0.00661317
+0.00619433
+0.00644562
+0.00721774
+0.00840998
+0.00989603
+0.0107286
+0.0108618
+0.0113398
+0.0121299
+0.0130174
+0.0141497
+0.0154925
+0.0169713
+0.0170617
+0.0166737
+0.0164625
+0.0162699
+0.0163391
+0.0164173
+0.0166307
+0.0170597
+0.0176554
+0.0184518
+0.0192697
+0.0202857
+0.0214315
+0.0225656
+0.023036
+0.0231298
+0.0234282
+0.0238092
+0.024381
+0.0251109
+0.0257233
+0.0262294
+0.0268769
+0.027683
+0.028616
+0.0296682
+0.0308403
+0.0321192
+0.0334927
+0.0349363
+0.0417403
+0.0403388
+0.0390101
+0.0373829
+0.03571
+0.034095
+0.0325321
+0.0310441
+0.0296435
+0.0283308
+0.0270933
+0.0258304
+0.0246879
+0.0236823
+0.0228235
+0.0221391
+0.0216555
+0.0213662
+0.0212762
+0.0212846
+0.020711
+0.0201931
+0.0197577
+0.0195225
+0.0195048
+0.0196999
+0.0201018
+0.0203176
+0.020392
+0.0206663
+0.0203633
+0.0202784
+0.020373
+0.0206662
+0.0208434
+0.0210128
+0.0214062
+0.0213784
+0.0212623
+0.0212725
+0.0214721
+0.021851
+0.0215842
+0.0209816
+0.0196748
+0.0179542
+0.016337
+0.0147773
+0.0132987
+0.0118368
+0.0106283
+0.00976781
+0.00927748
+0.00914072
+0.00742588
+0.00585732
+0.00459627
+0.00401287
+0.00434101
+0.00533706
+0.00680054
+0.00794369
+0.00853901
+0.00869242
+0.00926107
+0.0101122
+0.0111154
+0.012404
+0.0138753
+0.015494
+0.0167753
+0.0163482
+0.0160813
+0.0158836
+0.0158455
+0.0158448
+0.0160658
+0.0164093
+0.0169831
+0.0176786
+0.0185237
+0.0195785
+0.0207215
+0.0217304
+0.0222053
+0.0223201
+0.0226299
+0.0230274
+0.0236181
+0.0243709
+0.0248828
+0.025376
+0.0260446
+0.0268561
+0.0278024
+0.0288843
+0.0300869
+0.0313966
+0.0328004
+0.0342731
+0.0414378
+0.0400257
+0.0382661
+0.0365307
+0.0348269
+0.0331697
+0.0315776
+0.030055
+0.028606
+0.0272562
+0.0260121
+0.0248718
+0.0238473
+0.0228161
+0.0219295
+0.0212162
+0.020711
+0.0204084
+0.0203141
+0.0204175
+0.0201156
+0.019695
+0.0193648
+0.01916
+0.0191577
+0.0193875
+0.0198136
+0.0204338
+0.0206338
+0.020746
+0.0204291
+0.0202878
+0.0202732
+0.0200213
+0.0199961
+0.0201726
+0.0205774
+0.020793
+0.0207844
+0.0207623
+0.0209702
+0.021398
+0.0219089
+0.0204041
+0.0185129
+0.016692
+0.0149491
+0.0133
+0.0117445
+0.0102398
+0.0088151
+0.00775601
+0.00714214
+0.00697462
+0.00623018
+0.00434636
+0.00277369
+0.00185311
+0.00233172
+0.0037094
+0.00515394
+0.00602362
+0.00635014
+0.00653725
+0.0072407
+0.00812125
+0.00932204
+0.0107805
+0.0124162
+0.0141505
+0.0159578
+0.0162453
+0.0159331
+0.0157336
+0.0155676
+0.015516
+0.0156443
+0.015955
+0.0164526
+0.0171155
+0.017987
+0.0190481
+0.0201831
+0.0208755
+0.0215453
+0.0216636
+0.0219827
+0.0224331
+0.0230391
+0.0237945
+0.0241808
+0.024688
+0.0253539
+0.0261715
+0.0271418
+0.0282489
+0.0294775
+0.030813
+0.0322422
+0.0337362
+0.0405769
+0.0393054
+0.0374977
+0.0357328
+0.0340174
+0.0323474
+0.0307253
+0.0291713
+0.0276866
+0.0262903
+0.0250081
+0.0238586
+0.0228341
+0.0219387
+0.0212183
+0.0204868
+0.0199633
+0.0196097
+0.0194639
+0.0195639
+0.0196368
+0.0193659
+0.0191094
+0.0189968
+0.0190419
+0.0192742
+0.0197166
+0.0203708
+0.021062
+0.0210399
+0.0206719
+0.0200712
+0.019606
+0.0193429
+0.0193259
+0.0195112
+0.0199212
+0.0203278
+0.0203918
+0.0204749
+0.0206857
+0.0210976
+0.0215192
+0.0195205
+0.0175343
+0.0156028
+0.0137493
+0.0119914
+0.0102996
+0.00874622
+0.00721456
+0.00587363
+0.00505438
+0.00479424
+0.00437337
+0.00326423
+0.00131959
+-0.000170599
+0.000647844
+0.00248271
+0.00305991
+0.00429213
+0.00416317
+0.00441707
+0.00524911
+0.00625597
+0.00768612
+0.0093467
+0.0111106
+0.0129343
+0.0148498
+0.0163941
+0.0160521
+0.0157547
+0.0154733
+0.0153337
+0.0154111
+0.0156574
+0.0161331
+0.0168209
+0.017651
+0.0185561
+0.0191931
+0.0198863
+0.0207512
+0.0212141
+0.0215398
+0.0220415
+0.0226418
+0.0233384
+0.0236615
+0.0241575
+0.0248217
+0.0256563
+0.0266453
+0.0277722
+0.029021
+0.0303766
+0.0318056
+0.0333102
+0.0396927
+0.0386597
+0.0368301
+0.0350366
+0.0332853
+0.0315889
+0.0299539
+0.0283641
+0.026859
+0.0254536
+0.0241311
+0.0229377
+0.0218924
+0.0209726
+0.0202177
+0.0196458
+0.0192925
+0.0189593
+0.0188085
+0.0189119
+0.0192655
+0.0191207
+0.0190505
+0.018991
+0.0191301
+0.0194079
+0.0198474
+0.0205126
+0.0213569
+0.0209697
+0.0201296
+0.0194505
+0.0189826
+0.0187459
+0.0187286
+0.0189661
+0.019449
+0.0200065
+0.0201531
+0.0203792
+0.020591
+0.021
+0.020867
+0.0188256
+0.016786
+0.014757
+0.0127814
+0.0108885
+0.00912341
+0.00738024
+0.00583495
+0.00429303
+0.00311154
+0.00262952
+0.00276335
+0.00142369
+0.000201501
+-0.00100172
+-0.00058706
+0.000462552
+0.00128545
+0.00213937
+0.00198444
+0.00238451
+0.00323153
+0.00459183
+0.00627418
+0.00806902
+0.00995667
+0.0119482
+0.0139773
+0.0159586
+0.0164391
+0.0159651
+0.0156397
+0.0154103
+0.0153995
+0.0155854
+0.0159724
+0.0164798
+0.0172172
+0.0178844
+0.0183852
+0.0190798
+0.0199663
+0.0209847
+0.0213139
+0.0218588
+0.0224504
+0.022993
+0.0233142
+0.0238009
+0.0244747
+0.0253207
+0.0263224
+0.0274625
+0.0287248
+0.030071
+0.0315061
+0.0330243
+0.0387277
+0.0379784
+0.036253
+0.0344477
+0.0326648
+0.0309344
+0.0292657
+0.0276699
+0.0261571
+0.0247118
+0.0233828
+0.0221882
+0.0211116
+0.0201582
+0.0193716
+0.0188085
+0.0184543
+0.0183412
+0.0183567
+0.0184626
+0.0188247
+0.0190205
+0.0190951
+0.0191835
+0.0193737
+0.0197417
+0.0202161
+0.0208696
+0.0215122
+0.0205322
+0.0197081
+0.0190389
+0.0185606
+0.0183333
+0.0183256
+0.0185683
+0.0190613
+0.0197619
+0.0200177
+0.020363
+0.0207239
+0.0211302
+0.0204154
+0.0183237
+0.0162581
+0.0142017
+0.012136
+0.0101231
+0.00814575
+0.00620843
+0.00446484
+0.00277199
+0.0015865
+0.000508985
+0.000618417
+0.000206522
+-0.000679387
+-0.00158189
+-0.00209652
+-0.00124103
+0.000287307
+-3.82991e-05
+-0.000156688
+0.000456897
+0.00149915
+0.00324847
+0.00507382
+0.00708318
+0.00911517
+0.0111013
+0.0131512
+0.0152402
+0.017016
+0.0164213
+0.0160114
+0.0157073
+0.0156362
+0.0155925
+0.0158211
+0.0163013
+0.0169742
+0.0172479
+0.0177685
+0.0184989
+0.019374
+0.0204159
+0.0213121
+0.021857
+0.0224506
+0.0228292
+0.0231236
+0.0236142
+0.0242932
+0.0251454
+0.0261537
+0.0273009
+0.0285679
+0.0299149
+0.0313572
+0.0328822
+0.0377522
+0.0369947
+0.0357678
+0.0339402
+0.032158
+0.0304239
+0.0287255
+0.027098
+0.0255547
+0.0241119
+0.0227759
+0.0215504
+0.0204823
+0.0195258
+0.0187446
+0.0181621
+0.0178028
+0.0176856
+0.0178388
+0.0182052
+0.0186012
+0.0189568
+0.0192449
+0.0195233
+0.0198063
+0.0202292
+0.0207691
+0.0214455
+0.0213011
+0.0203107
+0.019485
+0.0188491
+0.0183658
+0.0181361
+0.0181354
+0.0183805
+0.0188784
+0.0195791
+0.0201161
+0.0204597
+0.0210029
+0.021442
+0.0201926
+0.0180752
+0.0159397
+0.0138145
+0.0117133
+0.0096521
+0.00757016
+0.00543126
+0.00335977
+0.00151319
+4.18234e-05
+-0.00120371
+-0.00149697
+-0.00149704
+-0.00262279
+-0.00321905
+-0.00385017
+-0.00249399
+-0.00189062
+-0.00217078
+-0.00224397
+-0.0011189
+0.000265011
+0.00229575
+0.00428625
+0.00629792
+0.00838518
+0.0105084
+0.0126546
+0.0148138
+0.0169812
+0.0171124
+0.0165979
+0.01614
+0.0157634
+0.0156433
+0.0158285
+0.0162716
+0.0164407
+0.0166915
+0.0171751
+0.0179153
+0.0188811
+0.0199951
+0.0212771
+0.0220677
+0.0226424
+0.0228386
+0.0231286
+0.0236192
+0.024298
+0.02515
+0.0261582
+0.0273052
+0.028572
+0.0299188
+0.0313609
+0.0328858
+0.0368531
+0.0360877
+0.0353881
+0.0335466
+0.0317485
+0.0299962
+0.0283051
+0.0266867
+0.025126
+0.023657
+0.0223068
+0.0210844
+0.0200133
+0.0190587
+0.0182756
+0.0177136
+0.0173965
+0.0172766
+0.0174333
+0.0178139
+0.0183815
+0.0190254
+0.0194359
+0.0199124
+0.0203898
+0.0208751
+0.0214652
+0.022061
+0.0210026
+0.0200902
+0.0193588
+0.0188278
+0.0184063
+0.0182023
+0.0182016
+0.0184459
+0.018942
+0.0196034
+0.02045
+0.0207881
+0.0213465
+0.0219679
+0.0201538
+0.0179929
+0.0158402
+0.0136995
+0.0115775
+0.00948683
+0.00745379
+0.00536796
+0.00330851
+0.00131209
+-0.00050142
+-0.00223636
+-0.00361063
+-0.00360056
+-0.00442752
+-0.00519176
+-0.00550422
+-0.00444339
+-0.00406416
+-0.00425649
+-0.00295229
+-0.00153619
+0.000126681
+0.00186279
+0.0038953
+0.00601396
+0.00816605
+0.010324
+0.0123693
+0.0144572
+0.0165717
+0.0179709
+0.0170952
+0.0164662
+0.0160722
+0.0159545
+0.0160988
+0.0161043
+0.0161055
+0.0163146
+0.016809
+0.0175646
+0.0185212
+0.0196557
+0.0209583
+0.0223899
+0.0229717
+0.0230528
+0.0233402
+0.0238264
+0.0244995
+0.0253447
+0.0263454
+0.0274792
+0.0287122
+0.0300545
+0.0314849
+0.0329831
+0.0359817
+0.0352267
+0.0345941
+0.0332717
+0.031463
+0.0296998
+0.0279907
+0.026353
+0.0248008
+0.0233512
+0.0220199
+0.0207828
+0.0197119
+0.0187889
+0.0180107
+0.017457
+0.0171634
+0.0171197
+0.0172778
+0.0176814
+0.0182648
+0.0190539
+0.019779
+0.02038
+0.0210184
+0.0216522
+0.0222912
+0.021699
+0.0206302
+0.019739
+0.0190193
+0.018532
+0.0182458
+0.018168
+0.0183031
+0.0186697
+0.0191117
+0.0197789
+0.0206448
+0.0213376
+0.0218819
+0.0224642
+0.0203129
+0.0181709
+0.016042
+0.0139324
+0.0118522
+0.00982013
+0.00787363
+0.00584771
+0.00384827
+0.00216452
+0.000568663
+-0.00146072
+-0.00352301
+-0.00564194
+-0.0063464
+-0.00727533
+-0.00735727
+-0.00646708
+-0.00585771
+-0.00427122
+-0.00274853
+-0.00122029
+0.000529812
+0.00210269
+0.00415016
+0.0059993
+0.00795041
+0.0100012
+0.0121012
+0.0142285
+0.0155483
+0.0169668
+0.0176543
+0.0170312
+0.0166341
+0.0164525
+0.0161068
+0.0158927
+0.0159607
+0.0161756
+0.0166742
+0.0174356
+0.0183938
+0.0195357
+0.0208458
+0.0222844
+0.0233907
+0.0234705
+0.0237528
+0.0242307
+0.0248929
+0.0257252
+0.026701
+0.0277693
+0.0289642
+0.0302056
+0.0315448
+0.0329752
+0.0352161
+0.0344443
+0.0337971
+0.0331218
+0.0313044
+0.0295377
+0.0278313
+0.0261971
+0.024637
+0.0231771
+0.0218397
+0.0206452
+0.0195814
+0.0186717
+0.0179235
+0.0174071
+0.017123
+0.0171101
+0.017342
+0.0177736
+0.0183814
+0.0191937
+0.0201722
+0.0209206
+0.0216987
+0.0224475
+0.0227596
+0.0215547
+0.0204784
+0.0195855
+0.0188601
+0.0183686
+0.0181251
+0.0180473
+0.0182338
+0.018634
+0.0192687
+0.0200785
+0.0210296
+0.0220646
+0.0226178
+0.0228139
+0.0207038
+0.0186068
+0.0165342
+0.0144964
+0.0125103
+0.010605
+0.00864512
+0.00680558
+0.0050993
+0.00304677
+0.000931909
+-0.00122329
+-0.00338677
+-0.00556918
+-0.00775529
+-0.00905001
+-0.00928133
+-0.00749822
+-0.00569204
+-0.00397468
+-0.0023413
+-0.000598299
+0.00122379
+0.00296017
+0.00452438
+0.00619538
+0.0081175
+0.0101341
+0.0114828
+0.0126532
+0.0140461
+0.0156028
+0.0170857
+0.0177931
+0.0172094
+0.016645
+0.0161434
+0.0159298
+0.0159977
+0.0163222
+0.0168203
+0.0175755
+0.0185264
+0.0196529
+0.0209115
+0.022314
+0.0238211
+0.0240809
+0.0243562
+0.0248225
+0.0254354
+0.0261456
+0.0269934
+0.0279739
+0.0290867
+0.0303172
+0.0316516
+0.0330774
+0.0345496
+0.0337777
+0.0331175
+0.0325903
+0.0312894
+0.0295217
+0.0278142
+0.0261787
+0.0246297
+0.0231844
+0.0218526
+0.0206623
+0.0196358
+0.0187696
+0.0180683
+0.0175693
+0.0173115
+0.0172987
+0.0175446
+0.0180371
+0.0187219
+0.0195201
+0.0204952
+0.0215793
+0.0224098
+0.0233444
+0.0227108
+0.0215128
+0.0204797
+0.0195912
+0.0189149
+0.0184597
+0.0182225
+0.018191
+0.0183765
+0.018804
+0.0194348
+0.0202538
+0.0212449
+0.0223931
+0.0235216
+0.0232494
+0.0211953
+0.0191715
+0.0171886
+0.015066
+0.0129622
+0.0108734
+0.00882775
+0.00681644
+0.00472502
+0.00274584
+0.000811554
+-0.00132201
+-0.00348902
+-0.00566862
+-0.00785068
+-0.010036
+-0.00974522
+-0.00779255
+-0.00583024
+-0.0040001
+-0.00247685
+-0.000655373
+0.00113804
+0.00308146
+0.0044714
+0.00589103
+0.00731036
+0.00869995
+0.00987472
+0.0111851
+0.0127147
+0.0142638
+0.0158341
+0.017538
+0.0171861
+0.0164896
+0.0160408
+0.0158306
+0.0158969
+0.0162235
+0.0168312
+0.0176642
+0.0186936
+0.0198828
+0.0211278
+0.0225176
+0.024011
+0.0247997
+0.0249557
+0.0253011
+0.0258068
+0.0264706
+0.0272946
+0.0282647
+0.0293173
+0.0304776
+0.0317469
+0.0331125
+0.0339254
+0.0331648
+0.0325149
+0.0319789
+0.0314072
+0.0296464
+0.0279466
+0.0263194
+0.0247791
+0.0233431
+0.0220209
+0.0208402
+0.0198319
+0.0190236
+0.0183546
+0.0178944
+0.0176642
+0.0177042
+0.0179941
+0.0184933
+0.0191966
+0.020079
+0.0210341
+0.022146
+0.0232575
+0.024184
+0.0228536
+0.0216634
+0.0206367
+0.0197662
+0.0191074
+0.0186738
+0.0184895
+0.0184961
+0.0187281
+0.0191937
+0.0198121
+0.0206306
+0.0216028
+0.0227451
+0.0240332
+0.0231092
+0.0210233
+0.0189254
+0.0168511
+0.0146902
+0.0125242
+0.0103685
+0.00822315
+0.00610136
+0.00403782
+0.00201366
+-7.81103e-05
+-0.00201504
+-0.00386555
+-0.00592761
+-0.00767034
+-0.00955732
+-0.0102203
+-0.00826804
+-0.00642027
+-0.00477642
+-0.00315314
+-0.00122154
+0.000362208
+0.00188224
+0.00322079
+0.00463539
+0.00608127
+0.00731799
+0.0084726
+0.00995366
+0.0115597
+0.0130878
+0.0147764
+0.0165753
+0.0171353
+0.0164142
+0.0159635
+0.0157581
+0.0158451
+0.0161611
+0.0167448
+0.0175564
+0.0185759
+0.0197543
+0.0210951
+0.0225688
+0.0241413
+0.0253298
+0.0254825
+0.0258035
+0.0262147
+0.0267992
+0.027546
+0.0284423
+0.0294745
+0.0305903
+0.0317968
+0.0331044
+0.0334047
+0.0326469
+0.0320208
+0.0315008
+0.0311019
+0.0299314
+0.0282486
+0.026634
+0.0251046
+0.0236793
+0.022378
+0.0212236
+0.0202361
+0.0194446
+0.018812
+0.0183838
+0.0182108
+0.0182516
+0.0185509
+0.0190587
+0.0197886
+0.0207125
+0.0217444
+0.0228534
+0.0240778
+0.0244947
+0.0231821
+0.0220098
+0.021
+0.0201452
+0.0194939
+0.0190673
+0.0188868
+0.0189593
+0.019206
+0.0196738
+0.0203399
+0.0211525
+0.0221347
+0.0232595
+0.0245288
+0.0227433
+0.0206884
+0.0186003
+0.0165279
+0.0144904
+0.0123672
+0.010194
+0.00803036
+0.00588638
+0.00377082
+0.00172826
+-0.000146513
+-0.00157774
+-0.00292301
+-0.00468797
+-0.00667617
+-0.00876146
+-0.0106525
+-0.00904001
+-0.0073433
+-0.00567876
+-0.00393427
+-0.00232506
+-0.000652076
+0.00075447
+0.00222415
+0.00351439
+0.00484114
+0.00597567
+0.00736554
+0.00905332
+0.0104833
+0.0121346
+0.0138433
+0.0155558
+0.017218
+0.0165834
+0.0161374
+0.0159424
+0.0160284
+0.0163158
+0.0168652
+0.0176709
+0.0186828
+0.0198549
+0.0211893
+0.0226569
+0.0242237
+0.0258812
+0.0259398
+0.026166
+0.0265698
+0.0271048
+0.0277766
+0.0286009
+0.0295649
+0.0306554
+0.0318421
+0.0330635
+0.0329942
+0.0322267
+0.0315928
+0.0311007
+0.0307211
+0.0303504
+0.0286848
+0.0270942
+0.0255923
+0.0241957
+0.0229181
+0.0217861
+0.0208237
+0.0200493
+0.0194501
+0.0190499
+0.0188831
+0.0189694
+0.0192714
+0.0197987
+0.0205397
+0.0214437
+0.0225251
+0.0236996
+0.0249089
+0.0249229
+0.0236341
+0.0224789
+0.021485
+0.0206762
+0.0200377
+0.019623
+0.0194478
+0.0195113
+0.0197784
+0.02028
+0.0209869
+0.0218143
+0.0227855
+0.0239018
+0.0245674
+0.0225106
+0.0204817
+0.0184511
+0.0163765
+0.0143175
+0.012304
+0.0103337
+0.0082232
+0.00616891
+0.00424347
+0.00257283
+0.00123147
+-1.26651e-05
+-0.00195475
+-0.00408884
+-0.00624862
+-0.00779138
+-0.00918921
+-0.00847531
+-0.00716857
+-0.00555352
+-0.00404982
+-0.00275838
+-0.00151863
+-0.000256614
+0.00117345
+0.00253004
+0.00384294
+0.00510036
+0.00668799
+0.00812594
+0.00965894
+0.0112396
+0.0129621
+0.0145924
+0.0163092
+0.0168591
+0.0164266
+0.0162647
+0.016327
+0.0166451
+0.0171982
+0.0179891
+0.0190008
+0.0201691
+0.021484
+0.0229331
+0.0244927
+0.0261417
+0.026367
+0.0265198
+0.026851
+0.0273542
+0.0280201
+0.0287886
+0.0296524
+0.0306487
+0.031765
+0.0328278
+0.0326992
+0.0319516
+0.0313121
+0.0308155
+0.0304649
+0.0302122
+0.029268
+0.0277059
+0.0262338
+0.0248679
+0.0236264
+0.02253
+0.0216008
+0.0208433
+0.0202675
+0.0199174
+0.019771
+0.0198535
+0.0201749
+0.0206817
+0.0213996
+0.0223103
+0.0233883
+0.0245807
+0.0258703
+0.0254985
+0.0242353
+0.0231097
+0.022144
+0.0213602
+0.0207561
+0.0203561
+0.0201872
+0.0202552
+0.0205376
+0.0210048
+0.0216764
+0.0225308
+0.023545
+0.0246818
+0.024548
+0.0224895
+0.0204585
+0.0184537
+0.0164643
+0.0144409
+0.0124741
+0.0105831
+0.0087469
+0.00683322
+0.00513118
+0.00363319
+0.00162788
+-0.000484373
+-0.00220136
+-0.00373428
+-0.00486775
+-0.00624997
+-0.00786523
+-0.00698602
+-0.00622628
+-0.00531703
+-0.00358832
+-0.00218304
+-0.00106665
+-0.000476855
+0.000622137
+0.00191252
+0.00320087
+0.00456154
+0.00596
+0.00745786
+0.00894205
+0.0105975
+0.0121905
+0.0139068
+0.0155127
+0.0172127
+0.0168668
+0.016718
+0.016824
+0.017166
+0.0177415
+0.0185198
+0.0195041
+0.0206744
+0.0219747
+0.0233935
+0.0249243
+0.0265478
+0.0267795
+0.0269299
+0.0271962
+0.027592
+0.0281531
+0.0288701
+0.0297315
+0.0306304
+0.031513
+0.0325006
+0.0325187
+0.0317786
+0.0311359
+0.0306364
+0.0302874
+0.0300778
+0.0299779
+0.0284548
+0.0270236
+0.0256997
+0.0245004
+0.0234449
+0.0225534
+0.0218209
+0.0212717
+0.0209383
+0.0208099
+0.0208883
+0.021194
+0.0217175
+0.0224023
+0.0232738
+0.0243121
+0.0254938
+0.0267718
+0.0262397
+0.0250141
+0.0239251
+0.0229937
+0.0222399
+0.0216603
+0.0212773
+0.0211158
+0.0211808
+0.0214591
+0.0218988
+0.0225437
+0.0233769
+0.0243704
+0.0254918
+0.0246637
+0.0226529
+0.0206262
+0.0186368
+0.0166978
+0.0148075
+0.0128932
+0.0110732
+0.00940105
+0.00775967
+0.00626298
+0.00422584
+0.0021662
+0.000190224
+-0.00103495
+-0.0019912
+-0.00338247
+-0.00495842
+-0.00667359
+-0.00567117
+-0.00464371
+-0.00400088
+-0.00364661
+-0.00186005
+-0.000350843
+0.000405618
+0.000899762
+0.00191944
+0.00304672
+0.00441759
+0.0057101
+0.0070445
+0.00853682
+0.0100234
+0.0115964
+0.0132275
+0.0148662
+0.0165748
+0.0174027
+0.017271
+0.0174037
+0.0177957
+0.0183825
+0.0191729
+0.0201658
+0.0212999
+0.02259
+0.024011
+0.0255179
+0.0271059
+0.0271616
+0.0272367
+0.0274577
+0.0278498
+0.0283492
+0.0289355
+0.0295451
+0.0303005
+0.0311626
+0.0321511
+0.0324852
+0.0317444
+0.0311009
+0.0306008
+0.0302515
+0.0300581
+0.0300051
+0.0293486
+0.0279632
+0.0266859
+0.025533
+0.024522
+0.0236711
+0.0229643
+0.0224431
+0.0221274
+0.0220162
+0.0220903
+0.0223796
+0.022876
+0.0235454
+0.0243913
+0.0253889
+0.0265255
+0.0277859
+0.02712
+0.0259227
+0.0248612
+0.0239534
+0.0232175
+0.0226702
+0.0223102
+0.0221562
+0.0222182
+0.0224806
+0.0229333
+0.0235521
+0.0243338
+0.0252817
+0.0263779
+0.0249566
+0.0229753
+0.0210197
+0.0190714
+0.017173
+0.0153228
+0.0135394
+0.0118929
+0.010326
+0.00889798
+0.00689595
+0.00494275
+0.00312904
+0.00170415
+0.000773372
+-0.000476701
+-0.00208188
+-0.00381817
+-0.00553626
+-0.00428641
+-0.00330788
+-0.00255852
+-0.0022792
+-0.00213074
+-0.000764257
+0.000878046
+0.00177039
+0.0024232
+0.00334063
+0.00444407
+0.00569231
+0.00694602
+0.0081973
+0.00962975
+0.0112271
+0.0127914
+0.0144259
+0.0160996
+0.0177678
+0.0180504
+0.0181774
+0.0185442
+0.0191267
+0.0199342
+0.0209195
+0.0220569
+0.023311
+0.0246906
+0.0261787
+0.0277247
+0.027546
+0.0275241
+0.0276622
+0.0277879
+0.0280823
+0.0285424
+0.0291596
+0.0298943
+0.0307678
+0.0317686
+0.0325991
+0.0318611
+0.03122
+0.0307218
+0.0303739
+0.0301813
+0.0301315
+0.0301949
+0.0290232
+0.0277939
+0.0266873
+0.0257201
+0.0249049
+0.0242278
+0.0237343
+0.0234361
+0.0233404
+0.023429
+0.023702
+0.0241712
+0.0248122
+0.0256163
+0.0265771
+0.0276783
+0.0289019
+0.0280289
+0.0268721
+0.0258496
+0.0249778
+0.024273
+0.0237499
+0.0234016
+0.0232548
+0.0233139
+0.023569
+0.0240012
+0.0246215
+0.0254074
+0.0263315
+0.0273408
+0.0254158
+0.0234839
+0.0215899
+0.0197003
+0.0178363
+0.0160332
+0.0143384
+0.0127951
+0.0114333
+0.00973741
+0.00785313
+0.00612139
+0.00463989
+0.00354885
+0.00245678
+0.000704193
+-0.00103541
+-0.00276075
+-0.00432298
+-0.00283317
+-0.00174775
+-0.00101168
+-0.000608837
+-0.000639815
+-0.000492086
+0.000743
+0.00218503
+0.00317206
+0.00376326
+0.00478466
+0.00587067
+0.00693461
+0.00822482
+0.00946798
+0.0106951
+0.0120421
+0.0135887
+0.015278
+0.0170653
+0.0188373
+0.0190927
+0.019461
+0.0200275
+0.0208001
+0.0217666
+0.0228831
+0.024127
+0.0254989
+0.0269592
+0.0280381
+0.0276977
+0.0274783
+0.0274283
+0.027553
+0.0278499
+0.0283132
+0.0289038
+0.0296449
+0.0305255
+0.031534
+0.0328121
+0.0320982
+0.0314914
+0.0309976
+0.0306528
+0.030462
+0.0304127
+0.0304755
+0.030189
+0.0290086
+0.0279502
+0.0270282
+0.0262537
+0.0256123
+0.025146
+0.0248646
+0.0247745
+0.0248777
+0.0251421
+0.025585
+0.0262012
+0.0269639
+0.0278783
+0.02893
+0.0301046
+0.0290747
+0.0279612
+0.02698
+0.0261459
+0.0254735
+0.0249713
+0.0246399
+0.0245005
+0.0245566
+0.0248036
+0.0252147
+0.0258057
+0.0265615
+0.0274664
+0.027425
+0.0257746
+0.0240894
+0.0223145
+0.0205104
+0.0187084
+0.0169981
+0.0154098
+0.0139801
+0.0126004
+0.0107511
+0.00903397
+0.00755733
+0.00634131
+0.00525636
+0.00359389
+0.00186312
+-7.60501e-06
+-0.00165242
+-0.00324757
+-0.00153143
+-0.000145722
+0.000501361
+0.000719762
+0.00100492
+0.000945434
+0.00135681
+0.00257519
+0.00376131
+0.00473303
+0.00540931
+0.00562471
+0.00597254
+0.00674302
+0.00793224
+0.00931938
+0.0108388
+0.0125347
+0.0143418
+0.0162147
+0.0181549
+0.0200626
+0.0205225
+0.0210945
+0.0218486
+0.0227707
+0.0238585
+0.0250767
+0.0263992
+0.0278315
+0.0279643
+0.0276029
+0.0273977
+0.0273476
+0.0274726
+0.0277704
+0.0282203
+0.0288127
+0.0295561
+0.0304393
+0.0314505
+0.0331462
+0.0324397
+0.0318684
+0.031404
+0.0310637
+0.0308755
+0.030842
+0.0309091
+0.0311255
+0.0303331
+0.0293225
+0.0284451
+0.0277102
+0.0271033
+0.0266631
+0.0263979
+0.026313
+0.0264102
+0.0266699
+0.0270878
+0.0276733
+0.0284161
+0.0292858
+0.0302886
+0.0313994
+0.0302219
+0.0291618
+0.0282321
+0.0274395
+0.0267958
+0.0263055
+0.025991
+0.025859
+0.0259121
+0.0261493
+0.0265537
+0.0271156
+0.0278358
+0.0279058
+0.0261215
+0.024383
+0.0227229
+0.0211556
+0.0197036
+0.0182573
+0.016858
+0.015641
+0.0146119
+0.0135474
+0.011925
+0.0103971
+0.00910538
+0.0081094
+0.00655787
+0.0048003
+0.00306529
+0.0014342
+-0.00030548
+-0.00207984
+-0.000607992
+0.00118457
+0.0023482
+0.00233246
+0.00273742
+0.00266319
+0.00296301
+0.0033803
+0.00457679
+0.0038638
+0.00363074
+0.00374331
+0.00436063
+0.0053393
+0.00676189
+0.00826972
+0.0099294
+0.0117597
+0.0136396
+0.0155924
+0.0176013
+0.0195352
+0.0213307
+0.022265
+0.0230029
+0.0238889
+0.0249284
+0.0261104
+0.0274089
+0.0285662
+0.0280418
+0.0276814
+0.0274768
+0.0274269
+0.0275515
+0.0278485
+0.0282971
+0.028888
+0.0296295
+0.0305106
+0.0315195
+0.0335777
+0.0328805
+0.032317
+0.0318943
+0.0315826
+0.0313974
+0.0313646
+0.0314801
+0.0317019
+0.0317537
+0.0307897
+0.0299553
+0.0292474
+0.028673
+0.0282573
+0.0280072
+0.0279272
+0.0280188
+0.0282751
+0.0286696
+0.0292234
+0.0299278
+0.0307722
+0.031735
+0.0326034
+0.031471
+0.0304544
+0.0295654
+0.0288159
+0.0281972
+0.0277316
+0.0274334
+0.0273084
+0.0273587
+0.0275835
+0.0279785
+0.0285231
+0.0286127
+0.0267338
+0.0248872
+0.0231007
+0.0213562
+0.0196784
+0.0181084
+0.016679
+0.0152371
+0.01389
+0.0127509
+0.0118212
+0.0111309
+0.0108245
+0.0108294
+0.00960008
+0.00781266
+0.00614538
+0.00451657
+0.00269398
+0.00100105
+-0.00051387
+0.000229283
+0.00200713
+0.00385754
+0.00419861
+0.00438099
+0.00442893
+0.00455294
+0.0037437
+0.00309359
+0.00225975
+0.00186725
+0.00228713
+0.00313576
+0.00446188
+0.00599641
+0.00759084
+0.00933476
+0.0112362
+0.0132236
+0.0152371
+0.0171114
+0.0188915
+0.0207484
+0.022665
+0.0242449
+0.0251159
+0.0261114
+0.0272423
+0.028497
+0.0286975
+0.0281757
+0.0278171
+0.027628
+0.0275905
+0.0277144
+0.0280096
+0.0284709
+0.0290902
+0.0298388
+0.030714
+0.0317113
+0.0341446
+0.0334591
+0.0329055
+0.0324905
+0.0322194
+0.0320609
+0.0320287
+0.0321419
+0.0323673
+0.0327312
+0.0323389
+0.0315454
+0.0308611
+0.0303173
+0.0299244
+0.0296884
+0.029613
+0.0296994
+0.0299462
+0.0303272
+0.0308513
+0.0315193
+0.0323222
+0.0332402
+0.0339063
+0.032819
+0.0318454
+0.0309963
+0.0302822
+0.0296908
+0.029249
+0.0289665
+0.0288481
+0.0288957
+0.0291086
+0.0294832
+0.0295943
+0.0276116
+0.0256627
+0.0237561
+0.0218908
+0.0200767
+0.0183405
+0.0166492
+0.0150821
+0.0136636
+0.0122488
+0.0109691
+0.0099417
+0.0091748
+0.00880057
+0.00889184
+0.00946978
+0.0092181
+0.00754544
+0.00571507
+0.00408591
+0.00256208
+0.00145893
+0.00184352
+0.00319703
+0.00481758
+0.00616624
+0.00614578
+0.00583138
+0.00391218
+0.00230113
+0.00147678
+0.00096685
+0.000393926
+0.00128184
+0.00235578
+0.00394117
+0.00566135
+0.00733662
+0.00912681
+0.0110324
+0.0130023
+0.0148557
+0.0166539
+0.0184866
+0.0203805
+0.0223285
+0.0243021
+0.0263062
+0.0274134
+0.0284973
+0.0295156
+0.0288744
+0.0283622
+0.0280059
+0.0278181
+0.0277808
+0.0279039
+0.0281972
+0.0286554
+0.0292708
+0.0300337
+0.0309158
+0.031912
+0.0348402
+0.0341687
+0.0336268
+0.0332208
+0.0329557
+0.0328349
+0.0328259
+0.0329364
+0.0331564
+0.0335184
+0.0339512
+0.0331829
+0.0325423
+0.0320271
+0.0316554
+0.0314324
+0.0313612
+0.0314428
+0.0316761
+0.0320489
+0.0325453
+0.0331792
+0.0339429
+0.0348181
+0.0352972
+0.034254
+0.0333224
+0.0325119
+0.0318248
+0.0312598
+0.0308404
+0.0305726
+0.0304605
+0.0305056
+0.0307073
+0.0308569
+0.0287946
+0.0267527
+0.0247363
+0.0227521
+0.0208094
+0.018921
+0.0170792
+0.015322
+0.0136509
+0.0120921
+0.0106219
+0.00930497
+0.00817616
+0.0073097
+0.00685445
+0.0069703
+0.00767295
+0.00876804
+0.00878335
+0.0071782
+0.00563947
+0.00435506
+0.00360511
+0.00382698
+0.00487365
+0.00622492
+0.00775048
+0.00763871
+0.00548195
+0.00336926
+0.00138001
+-0.00024249
+-0.000903711
+-0.000764505
+0.000665231
+0.00203941
+0.0037771
+0.00544883
+0.00730822
+0.00887321
+0.010661
+0.0125768
+0.0145303
+0.0163796
+0.0183044
+0.0202372
+0.0221973
+0.0241814
+0.0261958
+0.0282365
+0.029847
+0.0298318
+0.0291904
+0.0286971
+0.0283631
+0.0281777
+0.0281409
+0.0282624
+0.028552
+0.0290046
+0.0296128
+0.0303671
+0.0312431
+0.0322378
+0.035657
+0.0350012
+0.0344724
+0.0340764
+0.0338181
+0.0337004
+0.0337249
+0.0338542
+0.0340683
+0.0344206
+0.0349014
+0.0348747
+0.0342675
+0.0337895
+0.0334374
+0.0332263
+0.033159
+0.0332362
+0.033457
+0.0338115
+0.0342823
+0.0348847
+0.0356118
+0.0364562
+0.0367661
+0.0357597
+0.0348611
+0.0340798
+0.0334241
+0.032895
+0.0324967
+0.0322427
+0.0321364
+0.0321791
+0.0323678
+0.0302499
+0.0281432
+0.0260503
+0.0239748
+0.0219218
+0.0198982
+0.017914
+0.0159837
+0.0141248
+0.0123293
+0.0106771
+0.00916799
+0.00762574
+0.00644269
+0.00537305
+0.00494773
+0.00515068
+0.00599621
+0.00725274
+0.00876804
+0.00872101
+0.00735962
+0.0063037
+0.00578381
+0.00592649
+0.00672397
+0.00792635
+0.0092721
+0.007674
+0.00553102
+0.00344854
+0.00141127
+-0.000767555
+-0.0025478
+-0.000869029
+0.000625548
+0.00175721
+0.00342305
+0.00503944
+0.00688381
+0.00864392
+0.0104696
+0.0123862
+0.0143704
+0.0163334
+0.0182614
+0.0202429
+0.0222637
+0.0242587
+0.0262672
+0.0283028
+0.0303599
+0.0302457
+0.0296206
+0.029147
+0.0288326
+0.0286654
+0.0286499
+0.0287837
+0.0290681
+0.0295128
+0.0301107
+0.0308529
+0.0317155
+0.0326959
+0.036587
+0.0359481
+0.0354334
+0.0350483
+0.0347972
+0.0346828
+0.0347067
+0.0348684
+0.0350934
+0.0354356
+0.0359084
+0.0364939
+0.0360416
+0.0355844
+0.0352502
+0.0350501
+0.0349862
+0.0350594
+0.0352688
+0.0356108
+0.0360582
+0.0366313
+0.0373244
+0.038131
+0.0382806
+0.0373142
+0.0364539
+0.0357076
+0.0350823
+0.0345786
+0.0341999
+0.0339586
+0.0338577
+0.0327929
+0.0313639
+0.0297856
+0.0276495
+0.0255171
+0.0233944
+0.0212855
+0.0191949
+0.0171294
+0.0150992
+0.0131207
+0.0112213
+0.00939994
+0.00774243
+0.00616035
+0.00471264
+0.00351695
+0.00293116
+0.0033776
+0.00448499
+0.00601251
+0.007758
+0.0096486
+0.00922614
+0.00835413
+0.00796682
+0.0080728
+0.00870433
+0.00972771
+0.00967285
+0.00752927
+0.00535945
+0.00320344
+0.00110499
+-0.000821177
+-0.00290655
+-0.00175666
+-2.98169e-05
+0.00168416
+0.00340497
+0.00511842
+0.00693719
+0.00887593
+0.010662
+0.0125492
+0.0145111
+0.0165137
+0.0184229
+0.0203887
+0.0223963
+0.0244354
+0.02646
+0.0284852
+0.030523
+0.0307688
+0.0301545
+0.0296894
+0.0293808
+0.0292167
+0.0292016
+0.0293503
+0.0296606
+0.0301274
+0.0307436
+0.0314788
+0.0323298
+0.0332921
+0.0376216
+0.0370007
+0.0365008
+0.0361271
+0.0358835
+0.0357726
+0.0357957
+0.0359525
+0.036191
+0.0365537
+0.0370123
+0.0375883
+0.0378594
+0.0374214
+0.0371038
+0.0369137
+0.0368531
+0.0369226
+0.0371214
+0.0374476
+0.0378775
+0.0384236
+0.0390849
+0.0398558
+0.0398572
+0.03893
+0.0381062
+0.0373928
+0.0367962
+0.0363162
+0.0359559
+0.0348104
+0.0331833
+0.0316215
+0.0301371
+0.0287339
+0.0272907
+0.0251343
+0.0229844
+0.0208429
+0.0187129
+0.0165973
+0.0144945
+0.01242
+0.0103934
+0.00844902
+0.0066259
+0.00482288
+0.00325045
+0.00195371
+0.00117763
+0.00194546
+0.00327509
+0.00507118
+0.00706471
+0.00906514
+0.0110742
+0.0104616
+0.0101507
+0.0102332
+0.0107486
+0.0114386
+0.00949854
+0.0074653
+0.00532924
+0.0032612
+0.00120263
+-0.000799709
+-0.00265891
+-0.00120233
+0.000689469
+0.00260443
+0.00424898
+0.00586789
+0.00755506
+0.0094424
+0.0112846
+0.0130823
+0.0149745
+0.0169388
+0.0188394
+0.0207658
+0.0227402
+0.0247509
+0.0267517
+0.0287782
+0.0308271
+0.0314361
+0.0308351
+0.0303805
+0.030079
+0.0299187
+0.0299039
+0.0300492
+0.0303523
+0.0308086
+0.0314114
+0.0321525
+0.033012
+0.0339806
+0.0387526
+0.0381501
+0.0376655
+0.0373034
+0.0370676
+0.0369602
+0.0369826
+0.0371139
+0.0373654
+0.0377214
+0.0381999
+0.0387728
+0.0394382
+0.0392947
+0.0389924
+0.0388116
+0.0387539
+0.03882
+0.0390092
+0.0393197
+0.0397344
+0.0402552
+0.0408869
+0.0416245
+0.0414896
+0.0405997
+0.0398105
+0.0391282
+0.0385584
+0.0372077
+0.03547
+0.0337851
+0.0321553
+0.0305526
+0.029024
+0.0275642
+0.0262015
+0.0248776
+0.0227624
+0.0205979
+0.0184396
+0.0162899
+0.0141528
+0.0120351
+0.00994891
+0.00791941
+0.00599596
+0.00397635
+0.00215432
+0.000822658
+-0.000195674
+0.00098797
+0.00266934
+0.00460233
+0.00661355
+0.00870167
+0.0107733
+0.0125975
+0.0123362
+0.0124042
+0.0128369
+0.0112494
+0.00928502
+0.00739223
+0.00560243
+0.00371558
+0.00184791
+4.94946e-05
+-0.00129891
+-0.000531483
+0.00129492
+0.00324786
+0.00531843
+0.00717528
+0.00864704
+0.0103369
+0.0121873
+0.0139338
+0.0157241
+0.0175286
+0.0191295
+0.0208303
+0.022608
+0.0244517
+0.026332
+0.0282324
+0.0300865
+0.0319832
+0.0316435
+0.0312006
+0.0309071
+0.0307421
+0.0307276
+0.0308691
+0.0311642
+0.0316088
+0.0321966
+0.03292
+0.0337703
+0.0347245
+0.0399718
+0.0393879
+0.0389187
+0.0385684
+0.0383403
+0.0382209
+0.0382183
+0.038341
+0.0385878
+0.0389451
+0.0394088
+0.0399873
+0.0406757
+0.0411994
+0.0409111
+0.0407388
+0.0406839
+0.0407468
+0.0409271
+0.0412232
+0.0416237
+0.0421212
+0.0427253
+0.0434317
+0.0431715
+0.0423169
+0.0415604
+0.0400392
+0.0381847
+0.0363674
+0.0345876
+0.0328574
+0.0311824
+0.0295658
+0.0280081
+0.0265105
+0.0250854
+0.0237229
+0.0222577
+0.0204949
+0.0183973
+0.0162454
+0.0141055
+0.0119839
+0.00989255
+0.00785545
+0.00590089
+0.00389136
+0.00203664
+0.00014821
+-0.000858645
+0.00113572
+0.00289548
+0.00470047
+0.00666233
+0.00868988
+0.0107579
+0.0128471
+0.014523
+0.0145808
+0.0133096
+0.0113418
+0.00947235
+0.00770197
+0.00592915
+0.00418217
+0.00244945
+0.00116555
+0.000236291
+0.000930282
+0.0024794
+0.00433106
+0.00612814
+0.00808089
+0.00972598
+0.0105448
+0.0116125
+0.0129388
+0.0144327
+0.0160421
+0.017765
+0.019576
+0.0214431
+0.0233564
+0.0252332
+0.0271154
+0.0290409
+0.0310017
+0.0325701
+0.0321401
+0.0318532
+0.0316882
+0.0316742
+0.0318115
+0.0320979
+0.0325298
+0.0331012
+0.0338053
+0.0346338
+0.0355781
+0.0412595
+0.0406941
+0.0402402
+0.0399015
+0.0396589
+0.0395351
+0.0395325
+0.0396512
+0.0398899
+0.0402423
+0.0406911
+0.0412517
+0.0419193
+0.042689
+0.0428559
+0.0426915
+0.042639
+0.0426991
+0.0428712
+0.0431539
+0.0435413
+0.0440171
+0.0445955
+0.0452727
+0.0448973
+0.0432416
+0.0412986
+0.0393817
+0.0374947
+0.0356422
+0.0338242
+0.0320529
+0.0303335
+0.028669
+0.0270795
+0.0255419
+0.0240605
+0.0226775
+0.021212
+0.0196567
+0.0180381
+0.0163193
+0.0143574
+0.0122794
+0.0102393
+0.00825292
+0.00640129
+0.00450475
+0.00264063
+0.000930919
+0.000602909
+0.00207158
+0.00377168
+0.00528466
+0.00709377
+0.00902422
+0.0110081
+0.0130583
+0.0150788
+0.0155609
+0.0135555
+0.0116173
+0.00978622
+0.00800439
+0.00630086
+0.00461114
+0.0031533
+0.00201146
+0.00146976
+0.00216755
+0.0034922
+0.0051059
+0.00659987
+0.00701377
+0.00768645
+0.00859579
+0.00986089
+0.011338
+0.0129597
+0.0147135
+0.0165596
+0.0184595
+0.0204015
+0.0222611
+0.0241762
+0.0261347
+0.0281274
+0.0301429
+0.0321739
+0.0331976
+0.0329135
+0.0327538
+0.0327403
+0.032873
+0.0331503
+0.0335686
+0.0341227
+0.0348061
+0.0356113
+0.0365304
+0.0425972
+0.0420498
+0.0416107
+0.0412797
+0.041044
+0.0409244
+0.0409219
+0.0410365
+0.0412673
+0.0416122
+0.0420486
+0.0425912
+0.0432382
+0.0439848
+0.0448234
+0.0446662
+0.0446161
+0.0446735
+0.044838
+0.0451084
+0.0454828
+0.0459391
+0.0464936
+0.0467375
+0.0447334
+0.0427459
+0.0407793
+0.0388367
+0.0369219
+0.0350391
+0.0331881
+0.0313809
+0.0296226
+0.0279157
+0.0262807
+0.0247112
+0.0231979
+0.0217747
+0.0203198
+0.0186904
+0.0171806
+0.0157222
+0.0141634
+0.0125778
+0.0109303
+0.00908529
+0.00730396
+0.00554713
+0.00393038
+0.00271706
+0.00247448
+0.00343217
+0.00501139
+0.00632622
+0.00789793
+0.00962682
+0.0115073
+0.0134818
+0.0154912
+0.0151079
+0.0130291
+0.0109694
+0.00896859
+0.00708096
+0.00541562
+0.00401954
+0.0029227
+0.00228634
+0.00207817
+0.00255177
+0.00384471
+0.00431528
+0.00443135
+0.00491593
+0.00566757
+0.00679332
+0.00824562
+0.00988658
+0.0116834
+0.0135636
+0.0155207
+0.0174315
+0.0193286
+0.0212822
+0.023278
+0.0252936
+0.0273338
+0.0293952
+0.0314612
+0.0335429
+0.0340817
+0.0339275
+0.0339144
+0.0340426
+0.0343105
+0.0347148
+0.0352509
+0.0359128
+0.0366869
+0.0375656
+0.0440034
+0.0434737
+0.0430491
+0.0427246
+0.042497
+0.0423815
+0.0423791
+0.0424898
+0.0427127
+0.043046
+0.0434741
+0.0439991
+0.0446257
+0.0453495
+0.046166
+0.0466602
+0.0466123
+0.0466672
+0.0468247
+0.0470837
+0.0474426
+0.0478824
+0.048396
+0.0463628
+0.0443446
+0.0423435
+0.0403621
+0.0384034
+0.0364712
+0.0345646
+0.0326868
+0.0308502
+0.0290597
+0.0273177
+0.0256447
+0.0240338
+0.0224827
+0.0210371
+0.0196308
+0.0179408
+0.016362
+0.0149281
+0.0135774
+0.0122166
+0.0110002
+0.00979285
+0.00840458
+0.00693794
+0.0055174
+0.00455914
+0.00441819
+0.00507254
+0.00633579
+0.00772725
+0.00908793
+0.0106542
+0.0123796
+0.0142336
+0.0161489
+0.0146214
+0.0124632
+0.0103185
+0.00819613
+0.00611889
+0.00409271
+0.00234097
+0.00124099
+0.00128846
+0.00158258
+0.00116374
+0.00226029
+0.00247388
+0.00228962
+0.00280171
+0.00374063
+0.00515956
+0.00682828
+0.00867087
+0.0106258
+0.0126483
+0.0145152
+0.016457
+0.0184487
+0.0204678
+0.0225187
+0.0245813
+0.0266644
+0.0287635
+0.0308669
+0.0329787
+0.0351002
+0.0351796
+0.035167
+0.0352906
+0.0355491
+0.0359395
+0.0364575
+0.0370954
+0.0378381
+0.0386906
+0.0454717
+0.0449593
+0.0445488
+0.0442309
+0.044011
+0.0438995
+0.0438972
+0.0440041
+0.0442193
+0.0445415
+0.0449611
+0.045469
+0.0460756
+0.046777
+0.047569
+0.0484472
+0.0486252
+0.0486779
+0.0488289
+0.0490773
+0.0494217
+0.0498463
+0.0481341
+0.0460893
+0.0440585
+0.0420438
+0.0400476
+0.0380728
+0.0361229
+0.0342021
+0.0323157
+0.0304681
+0.0286538
+0.0268855
+0.0251837
+0.0235414
+0.0219556
+0.0204728
+0.0191014
+0.0174232
+0.0158068
+0.0143174
+0.0129669
+0.011744
+0.0106208
+0.00966467
+0.00898913
+0.00848866
+0.0073137
+0.00661579
+0.00648249
+0.00697173
+0.00796166
+0.00934394
+0.0105411
+0.0119504
+0.0135533
+0.0152654
+0.0164375
+0.0142728
+0.0121174
+0.00997745
+0.00786542
+0.00570751
+0.00352175
+0.00134867
+-0.000695281
+-0.000550273
+0.000136425
+-0.000517679
+0.000936922
+0.000894524
+0.000248856
+0.000763184
+0.00209869
+0.00379211
+0.00573706
+0.00781274
+0.00975365
+0.0116929
+0.0136641
+0.0156871
+0.0177325
+0.019809
+0.0219078
+0.0240181
+0.0261324
+0.0282584
+0.0303936
+0.0325361
+0.0346847
+0.0365101
+0.036498
+0.0366171
+0.0368663
+0.0372429
+0.037743
+0.0383596
+0.0390782
+0.0399043
+0.0469962
+0.0465006
+0.0461039
+0.0457925
+0.0455801
+0.0454725
+0.0454702
+0.0455734
+0.0457813
+0.0460925
+0.0465037
+0.0469951
+0.0475822
+0.0482617
+0.0490297
+0.0498822
+0.0506529
+0.0507034
+0.0508484
+0.051087
+0.0514179
+0.0500346
+0.0479708
+0.0459188
+0.0438801
+0.0418568
+0.0398513
+0.0378662
+0.0359051
+0.033972
+0.0320721
+0.0302115
+0.0283982
+0.026627
+0.0249076
+0.0232459
+0.0216384
+0.0201323
+0.0187359
+0.0171305
+0.0154939
+0.013983
+0.0126436
+0.0114329
+0.010362
+0.00957465
+0.00910721
+0.00872782
+0.00874728
+0.00862823
+0.00858553
+0.00891029
+0.00966898
+0.0106117
+0.0116982
+0.0130647
+0.0145454
+0.015969
+0.0162902
+0.0141126
+0.0119284
+0.00974694
+0.00757087
+0.00540665
+0.00325305
+0.00109479
+-0.000978929
+-0.00208138
+-0.00151646
+-0.00170306
+0.000279864
+-0.000246067
+-0.00146847
+-0.00090958
+0.000853693
+0.00297694
+0.00501956
+0.0069841
+0.00900294
+0.0109829
+0.0130301
+0.0151176
+0.0172291
+0.019344
+0.0214716
+0.0236107
+0.0257586
+0.027913
+0.0300727
+0.0322366
+0.0344039
+0.036574
+0.0379089
+0.0380236
+0.0382636
+0.0386266
+0.0391091
+0.0397044
+0.0403991
+0.0411987
+0.0485718
+0.0480924
+0.0477087
+0.0474039
+0.0471988
+0.0470948
+0.0470927
+0.0471923
+0.0473931
+0.0476938
+0.0480924
+0.0485721
+0.0491403
+0.0497986
+0.0505433
+0.0513707
+0.0522768
+0.0527422
+0.0528816
+0.0531111
+0.0520503
+0.0499737
+0.0479073
+0.0458524
+0.0438107
+0.041784
+0.0397748
+0.0377857
+0.0358202
+0.0338822
+0.031977
+0.0301106
+0.0282907
+0.0265136
+0.0248006
+0.0231548
+0.0215405
+0.020027
+0.0186226
+0.0170858
+0.0154772
+0.0139645
+0.0126232
+0.0114825
+0.0104244
+0.00965343
+0.00915494
+0.00884801
+0.00896179
+0.00920749
+0.00913934
+0.00944382
+0.0101902
+0.0111971
+0.012018
+0.0130968
+0.0143992
+0.015836
+0.016388
+0.0142373
+0.0121009
+0.00998811
+0.00788495
+0.0057417
+0.00365452
+0.00168578
+-0.000147125
+-0.000521284
+-0.000572555
+-0.00100063
+-9.12587e-05
+-0.000297657
+-0.00174307
+-0.00163988
+0.000481068
+0.00252383
+0.00450195
+0.00651855
+0.00851712
+0.0105761
+0.0126753
+0.0148011
+0.0169434
+0.019089
+0.0212421
+0.0234023
+0.0255676
+0.0277369
+0.0299093
+0.0320842
+0.0342612
+0.0364397
+0.0386197
+0.0395016
+0.0397327
+0.0400824
+0.0405475
+0.041122
+0.0417932
+0.0425666
+0.0501935
+0.0497297
+0.0493548
+0.0490602
+0.048862
+0.0487616
+0.0487595
+0.0488558
+0.0490498
+0.0493403
+0.0497258
+0.0501951
+0.0507452
+0.0513829
+0.052105
+0.0529079
+0.0537882
+0.054742
+0.0549269
+0.0541683
+0.052084
+0.0500088
+0.0479439
+0.0458906
+0.0438507
+0.041826
+0.0398188
+0.0378321
+0.0358691
+0.033934
+0.0320318
+0.0301688
+0.0283526
+0.0265796
+0.0248713
+0.0232427
+0.0216543
+0.0201485
+0.0187448
+0.0172959
+0.0157469
+0.0142836
+0.0129779
+0.0118717
+0.010854
+0.0101028
+0.00954935
+0.00931282
+0.00940764
+0.00968808
+0.00968422
+0.0100177
+0.0106018
+0.0114342
+0.0122392
+0.0133
+0.0145838
+0.0160046
+0.0167093
+0.0146088
+0.0125327
+0.0104909
+0.00844152
+0.00646561
+0.00457472
+0.00283708
+0.00171226
+0.00159081
+0.00144008
+0.00109522
+0.00161682
+0.00115952
+0.00041985
+0.00036888
+0.0011289
+0.00272193
+0.00456418
+0.00650954
+0.00850518
+0.0105665
+0.0126673
+0.0147942
+0.0169374
+0.0190837
+0.0212374
+0.0233979
+0.0255636
+0.0277332
+0.0299059
+0.0320811
+0.0342582
+0.0364369
+0.038617
+0.0407983
+0.0412658
+0.0416026
+0.0420509
+0.0426052
+0.0432533
+0.0440011
+0.051857
+0.0514083
+0.0510419
+0.050757
+0.0505655
+0.0504685
+0.0504665
+0.0505594
+0.0507469
+0.0510278
+0.0514007
+0.0518599
+0.0523926
+0.0530104
+0.0537106
+0.0544899
+0.055345
+0.0562725
+0.056377
+0.0542891
+0.0522097
+0.0501397
+0.0480804
+0.0460332
+0.0439999
+0.0419824
+0.0399831
+0.0380049
+0.0360513
+0.0341265
+0.0322357
+0.0303852
+0.0285828
+0.026825
+0.0251334
+0.023523
+0.021955
+0.0204714
+0.0190912
+0.0177454
+0.0162534
+0.0148619
+0.0136246
+0.0125614
+0.0116752
+0.0108963
+0.0103703
+0.0101734
+0.0102346
+0.0105788
+0.0105407
+0.0108186
+0.0112159
+0.0120062
+0.0127716
+0.0137887
+0.0150295
+0.0164206
+0.0172592
+0.0152347
+0.0132568
+0.0112939
+0.00935258
+0.00754904
+0.00589497
+0.00452315
+0.00378238
+0.00369743
+0.0034971
+0.00324331
+0.00348924
+0.00306444
+0.00259051
+0.00247998
+0.00294035
+0.00398198
+0.00540725
+0.00714751
+0.00900283
+0.0109824
+0.0130296
+0.0151084
+0.0172125
+0.0193282
+0.0214574
+0.0235978
+0.0257467
+0.0279021
+0.0300626
+0.0322272
+0.0343951
+0.0365656
+0.0387385
+0.0409133
+0.0428561
+0.0431805
+0.0436126
+0.0441473
+0.0447731
+0.0454958
+0.0535585
+0.0531242
+0.0527659
+0.0524904
+0.0523053
+0.0522115
+0.0522095
+0.0522994
+0.0524807
+0.0527524
+0.0531131
+0.0535611
+0.0540785
+0.0546773
+0.0553564
+0.0561129
+0.0569436
+0.0578454
+0.0565712
+0.0544926
+0.052423
+0.0503638
+0.0483159
+0.0462792
+0.0442571
+0.0422519
+0.040266
+0.0383023
+0.0363602
+0.0344479
+0.0325707
+0.030735
+0.0289488
+0.0272217
+0.0255657
+0.0239866
+0.0224663
+0.0210188
+0.0196765
+0.0184237
+0.0169915
+0.0157125
+0.0145477
+0.0135677
+0.0127086
+0.0119681
+0.0115133
+0.0113308
+0.0113714
+0.0117087
+0.0116847
+0.0117994
+0.0121822
+0.0128224
+0.013552
+0.0145252
+0.0157087
+0.0170436
+0.0180516
+0.0161075
+0.0141884
+0.0123377
+0.0105828
+0.0089592
+0.00753091
+0.00645934
+0.00590901
+0.00583129
+0.00561862
+0.00538761
+0.00548118
+0.00517203
+0.00476798
+0.00463481
+0.00498855
+0.00573575
+0.00679392
+0.00825979
+0.00992199
+0.0117536
+0.013686
+0.0156865
+0.017732
+0.0198086
+0.0218955
+0.0239969
+0.026113
+0.0282404
+0.0303768
+0.0325205
+0.0346701
+0.0368244
+0.0389829
+0.0411447
+0.0433095
+0.0448099
+0.0452265
+0.0457423
+0.0463466
+0.0470452
+0.0552945
+0.0548739
+0.0545235
+0.0542569
+0.0540778
+0.0539871
+0.0539852
+0.0540722
+0.0542475
+0.0545104
+0.0548595
+0.0552934
+0.0557995
+0.05638
+0.0570388
+0.0577733
+0.0585805
+0.0589012
+0.0568234
+0.0547543
+0.052695
+0.0506468
+0.048611
+0.0465893
+0.0445836
+0.042596
+0.0406294
+0.0386868
+0.0367722
+0.0348871
+0.0330348
+0.0312265
+0.02947
+0.0277753
+0.0261487
+0.024606
+0.023168
+0.0217707
+0.020438
+0.0192453
+0.0179678
+0.0167844
+0.0156907
+0.0147789
+0.0139801
+0.0132664
+0.0128513
+0.0127414
+0.0127669
+0.0130523
+0.0129869
+0.0130259
+0.013375
+0.0138926
+0.0145821
+0.0155098
+0.0166278
+0.0179103
+0.0190284
+0.0171511
+0.0153451
+0.0136048
+0.0120124
+0.0105899
+0.00935749
+0.0084969
+0.00805459
+0.00799574
+0.00776846
+0.00754661
+0.00757161
+0.00732685
+0.0069481
+0.00681122
+0.00711763
+0.00761698
+0.00848094
+0.00970285
+0.0111884
+0.012843
+0.0146323
+0.0165185
+0.0184721
+0.0204737
+0.0225106
+0.0245733
+0.026654
+0.0287422
+0.0308439
+0.0329572
+0.03508
+0.0372106
+0.0393479
+0.0414907
+0.0436383
+0.04579
+0.0468872
+0.0473849
+0.0479685
+0.0486438
+0.0570617
+0.0566531
+0.0563114
+0.0560534
+0.05588
+0.0557922
+0.0557904
+0.0558745
+0.0560442
+0.0562987
+0.0566369
+0.0570572
+0.0575524
+0.0581154
+0.0587548
+0.059468
+0.0602525
+0.0592245
+0.0571584
+0.0551019
+0.0530562
+0.0510225
+0.0490023
+0.0469974
+0.0450098
+0.043042
+0.0410967
+0.0391773
+0.0372878
+0.0354331
+0.0336187
+0.0318518
+0.0301324
+0.0284687
+0.0268806
+0.0253825
+0.023991
+0.0226676
+0.0213944
+0.0202581
+0.0191205
+0.0179997
+0.017028
+0.0161918
+0.0153975
+0.0147525
+0.0143894
+0.0142914
+0.0143254
+0.0145915
+0.0144454
+0.0144818
+0.0147965
+0.0151907
+0.0158498
+0.0166956
+0.017739
+0.0189656
+0.0201546
+0.0183676
+0.0166547
+0.0150662
+0.0136315
+0.0123528
+0.0113141
+0.0105946
+0.0101854
+0.0101288
+0.00993615
+0.00964227
+0.00970286
+0.00942529
+0.00909841
+0.00899456
+0.0092404
+0.00961754
+0.0103254
+0.0113505
+0.0126748
+0.0141871
+0.0158251
+0.0175839
+0.0194307
+0.0213426
+0.0233036
+0.0253018
+0.027327
+0.0293758
+0.0314438
+0.0335273
+0.0356201
+0.0377203
+0.0398302
+0.0419484
+0.0440737
+0.0462051
+0.0483418
+0.0490704
+0.0496342
+0.0502871
+0.0588575
+0.058458
+0.058127
+0.057877
+0.0577091
+0.0576241
+0.0576224
+0.0577038
+0.0578681
+0.0581147
+0.0584423
+0.0588497
+0.0593343
+0.0598807
+0.0605014
+0.0611943
+0.061647
+0.0596249
+0.0575749
+0.0555339
+0.0535046
+0.0514886
+0.0494875
+0.0475031
+0.0455376
+0.0435936
+0.041674
+0.0397825
+0.0379232
+0.0361011
+0.0343221
+0.0325933
+0.0309166
+0.0292975
+0.0277569
+0.0263087
+0.024969
+0.0237308
+0.0224993
+0.0214217
+0.0204229
+0.019378
+0.0184971
+0.0177378
+0.0169578
+0.0163743
+0.0160425
+0.0159668
+0.0160252
+0.0162607
+0.0160432
+0.0160747
+0.0163388
+0.0166701
+0.0172748
+0.0180644
+0.0190351
+0.0201862
+0.0213999
+0.0197197
+0.018135
+0.0166813
+0.0153733
+0.014235
+0.0133363
+0.0126863
+0.0123224
+0.0122728
+0.0120483
+0.0117564
+0.011737
+0.011558
+0.0112643
+0.0111752
+0.0113776
+0.0116865
+0.0122835
+0.0131569
+0.0143151
+0.0156951
+0.0172153
+0.0188447
+0.0205787
+0.0223928
+0.0242691
+0.0261937
+0.0281549
+0.0301475
+0.0321658
+0.0342054
+0.0362626
+0.0383346
+0.0404191
+0.0425142
+0.0446125
+0.0467194
+0.0488336
+0.0504674
+0.0507527
+0.0511301
+0.0606791
+0.0602885
+0.0599675
+0.0597253
+0.0595626
+0.0594803
+0.0594786
+0.0595575
+0.0597167
+0.0599556
+0.0602732
+0.0606684
+0.0611395
+0.0616733
+0.0622761
+0.0629495
+0.0620808
+0.0600733
+0.0580711
+0.0560482
+0.0540382
+0.0520429
+0.0500639
+0.0481033
+0.0461634
+0.0442469
+0.0423569
+0.0404973
+0.0386724
+0.0368873
+0.0351482
+0.0334621
+0.0318312
+0.030261
+0.0287721
+0.0273777
+0.0260928
+0.0248784
+0.0237404
+0.0227216
+0.0218148
+0.0208955
+0.0200812
+0.0193537
+0.0186453
+0.0181162
+0.0178069
+0.0177388
+0.0178272
+0.0179585
+0.0177418
+0.0177703
+0.0179748
+0.018283
+0.0188359
+0.0195763
+0.0204754
+0.0215604
+0.0227012
+0.0212123
+0.019746
+0.0183953
+0.017218
+0.016195
+0.0153894
+0.0147865
+0.0144754
+0.0144308
+0.0141497
+0.0138942
+0.0138191
+0.0137068
+0.0134382
+0.0133511
+0.013521
+0.0137931
+0.0143092
+0.0150656
+0.0160869
+0.0173264
+0.0187408
+0.0202646
+0.0218863
+0.0236001
+0.0253874
+0.0272331
+0.0291243
+0.0310548
+0.0330177
+0.0350077
+0.0370203
+0.0390522
+0.0411003
+0.0431625
+0.0452367
+0.0473214
+0.0494153
+0.0513049
+0.0515855
+0.0519569
+0.0625245
+0.0621423
+0.061831
+0.061596
+0.0614383
+0.0613585
+0.0613568
+0.0614333
+0.0615877
+0.0618194
+0.0621275
+0.0625109
+0.0629682
+0.0634908
+0.0640766
+0.0645915
+0.0625883
+0.0605976
+0.0586212
+0.0566426
+0.0546545
+0.0526825
+0.0507285
+0.0487946
+0.0468833
+0.0449974
+0.0431404
+0.0413161
+0.039529
+0.0377844
+0.0360885
+0.0344484
+0.0328665
+0.0313483
+0.0299135
+0.0285748
+0.0273291
+0.0261546
+0.0251092
+0.0241507
+0.0232996
+0.0225036
+0.0217491
+0.0210587
+0.0204155
+0.0199469
+0.0196572
+0.0195956
+0.0196861
+0.019734
+0.0195385
+0.0195645
+0.0196873
+0.0199849
+0.0204919
+0.0212051
+0.0220393
+0.0230511
+0.0241315
+0.0228179
+0.0214389
+0.0202016
+0.0191153
+0.0181891
+0.0174468
+0.0169096
+0.0166383
+0.0165974
+0.0162746
+0.0160463
+0.0159295
+0.0158486
+0.0156168
+0.0155312
+0.0156775
+0.0159224
+0.0163721
+0.0170422
+0.0179515
+0.0190701
+0.0203638
+0.0218013
+0.0233225
+0.0249378
+0.0266354
+0.0284007
+0.0302216
+0.0320862
+0.0339896
+0.0359258
+0.0378897
+0.0398773
+0.0418851
+0.0439104
+0.0459509
+0.0480046
+0.05007
+0.0521455
+0.0524967
+0.0528616
+0.0643915
+0.0640174
+0.0637152
+0.0634872
+0.0633343
+0.0632568
+0.0632552
+0.0633294
+0.0634792
+0.063704
+0.064003
+0.0643753
+0.0648194
+0.0653313
+0.0659007
+0.0651532
+0.0631678
+0.061196
+0.0592395
+0.0573
+0.0553507
+0.0534044
+0.0514778
+0.0495731
+0.047693
+0.0458405
+0.0440191
+0.0422327
+0.0404861
+0.0387846
+0.0371344
+0.035542
+0.0340025
+0.0325373
+0.0311573
+0.0298744
+0.0286637
+0.0275461
+0.0265555
+0.025679
+0.0248888
+0.024194
+0.0234938
+0.0228454
+0.0222538
+0.0218368
+0.0215713
+0.0215098
+0.0215978
+0.021586
+0.0214088
+0.0214125
+0.0214868
+0.0217743
+0.0222406
+0.0228994
+0.0236741
+0.0246188
+0.0256518
+0.0244963
+0.0232152
+0.0220747
+0.0210662
+0.0201992
+0.0195309
+0.0190481
+0.0188076
+0.0187695
+0.0184149
+0.018162
+0.018048
+0.0180021
+0.0177984
+0.017714
+0.0178424
+0.0180664
+0.0184639
+0.0190657
+0.0198826
+0.0208982
+0.022085
+0.0234171
+0.0248673
+0.0263882
+0.0279981
+0.0296824
+0.0314292
+0.0332286
+0.0350716
+0.0369512
+0.0388633
+0.0408035
+0.0427678
+0.0447532
+0.0467569
+0.0487767
+0.0508107
+0.0528572
+0.053482
+0.0538403
+0.0662765
+0.0659119
+0.0656185
+0.0653972
+0.0652486
+0.0651735
+0.0651719
+0.065244
+0.0653893
+0.0656076
+0.065898
+0.0662596
+0.0666912
+0.0671915
+0.0677465
+0.065783
+0.0638172
+0.0618661
+0.0599315
+0.0580151
+0.0561188
+0.0542053
+0.0523082
+0.0504349
+0.0485881
+0.0467711
+0.0449873
+0.043241
+0.0415368
+0.0398801
+0.0382719
+0.0367158
+0.0352272
+0.0338151
+0.0324894
+0.0312594
+0.0300879
+0.0290252
+0.0280878
+0.0272662
+0.0265457
+0.0259431
+0.0253029
+0.0246972
+0.024151
+0.0237673
+0.0235338
+0.0234672
+0.0235389
+0.0234962
+0.0233349
+0.0232849
+0.0233532
+0.0236254
+0.0240617
+0.024672
+0.0253927
+0.0262757
+0.027261
+0.0262485
+0.0250571
+0.0239852
+0.0230393
+0.0222435
+0.0216325
+0.0211954
+0.020979
+0.0209427
+0.0205659
+0.0202822
+0.0201802
+0.0201636
+0.019982
+0.0198984
+0.0200128
+0.0202204
+0.0205764
+0.0211226
+0.0218628
+0.0227903
+0.0238833
+0.0251202
+0.0264808
+0.0279353
+0.0294607
+0.0310658
+0.0327389
+0.03447
+0.0362509
+0.0380746
+0.0399335
+0.041824
+0.0437426
+0.0456856
+0.0476501
+0.0496336
+0.0516338
+0.0536489
+0.0545377
+0.0548891
+0.0681787
+0.0678243
+0.0675392
+0.0673242
+0.0671799
+0.0671069
+0.0671054
+0.0671754
+0.0673166
+0.0675286
+0.0678108
+0.0681622
+0.0685819
+0.0690685
+0.0684346
+0.0664791
+0.0645346
+0.0626058
+0.0606948
+0.0588033
+0.0569332
+0.0550817
+0.0532158
+0.0513756
+0.0495639
+0.047784
+0.0460395
+0.0443346
+0.0426741
+0.0410538
+0.0394858
+0.0379794
+0.0365423
+0.035183
+0.0339105
+0.0327183
+0.0315923
+0.0305819
+0.0296813
+0.028905
+0.0282665
+0.0277125
+0.0271638
+0.0266005
+0.0260942
+0.0257395
+0.0255334
+0.0254627
+0.025508
+0.0254404
+0.0253041
+0.0252087
+0.0252718
+0.0255235
+0.0259401
+0.026507
+0.0271793
+0.028006
+0.0289395
+0.0280623
+0.0269416
+0.0259386
+0.0250434
+0.0243132
+0.0237455
+0.0233476
+0.023151
+0.0230715
+0.0226917
+0.022416
+0.0222966
+0.0223308
+0.022167
+0.0220841
+0.0221873
+0.0223815
+0.0227036
+0.023204
+0.0238798
+0.0247317
+0.0257424
+0.0268939
+0.028169
+0.0295517
+0.0310093
+0.0325381
+0.0341391
+0.0358026
+0.0375203
+0.0392851
+0.0410909
+0.0429321
+0.0448033
+0.0467022
+0.0486257
+0.0505709
+0.0525354
+0.0545172
+0.0556596
+0.0560039
+0.0700977
+0.0697531
+0.0694759
+0.0692669
+0.0691267
+0.0690557
+0.0690543
+0.0691222
+0.0692595
+0.0694656
+0.0697399
+0.0700817
+0.0704899
+0.0709634
+0.0691734
+0.0672394
+0.0653175
+0.0634125
+0.0615265
+0.0596591
+0.0578144
+0.0559947
+0.0541969
+0.0523912
+0.0506158
+0.0488742
+0.0471701
+0.0455057
+0.0438781
+0.0423013
+0.0407812
+0.0393245
+0.0379384
+0.036631
+0.0354039
+0.0342473
+0.0331732
+0.0322069
+0.031347
+0.0306129
+0.0300211
+0.0295356
+0.0290708
+0.0285451
+0.0280729
+0.0277445
+0.0275588
+0.0274868
+0.0275106
+0.0274138
+0.0272882
+0.0271729
+0.0272315
+0.0274652
+0.0278641
+0.0283827
+0.0290214
+0.029797
+0.0306753
+0.0299224
+0.0288631
+0.0279064
+0.0270764
+0.0264025
+0.02587
+0.0255052
+0.0253046
+0.0252059
+0.0248142
+0.0245598
+0.0244211
+0.0244571
+0.024353
+0.0242707
+0.0243646
+0.0245479
+0.0248419
+0.0253039
+0.0259249
+0.0267118
+0.0276502
+0.0287253
+0.0299225
+0.0312276
+0.0326277
+0.0340876
+0.035619
+0.0372165
+0.0388717
+0.0405778
+0.0423285
+0.0441185
+0.0459432
+0.0477976
+0.0496787
+0.0515842
+0.0535116
+0.0554585
+0.0568437
+0.057181
+0.0720322
+0.0716969
+0.0714272
+0.0712239
+0.0710876
+0.0710186
+0.0710172
+0.0710833
+0.0712168
+0.0714172
+0.0716841
+0.0720166
+0.0724139
+0.0718999
+0.069973
+0.0680618
+0.0661633
+0.0642813
+0.0624195
+0.0605796
+0.0587638
+0.0569744
+0.0552139
+0.0534772
+0.0517391
+0.0500291
+0.0483554
+0.0467245
+0.045141
+0.0436101
+0.0421375
+0.0407295
+0.0393931
+0.0381329
+0.0369373
+0.0358359
+0.0348162
+0.0338902
+0.0330739
+0.0323791
+0.0318201
+0.0313865
+0.0310144
+0.0305031
+0.030073
+0.0297756
+0.029596
+0.029529
+0.0295399
+0.029418
+0.0292655
+0.0291662
+0.0292207
+0.0294387
+0.0298164
+0.0303001
+0.0309089
+0.0316383
+0.0324661
+0.0318149
+0.030815
+0.0299053
+0.0291323
+0.0285055
+0.0280046
+0.0276567
+0.0274514
+0.027309
+0.0269477
+0.0267035
+0.0265564
+0.0265895
+0.0265397
+0.026458
+0.0265442
+0.0267182
+0.0269886
+0.0274179
+0.0279921
+0.0287224
+0.0295971
+0.0306039
+0.0317303
+0.0329639
+0.0342932
+0.0357044
+0.0371693
+0.0387027
+0.040297
+0.0419451
+0.043641
+0.0453792
+0.0471552
+0.0489648
+0.0508044
+0.0526693
+0.0545583
+0.0564691
+0.0580864
+0.0584165
+0.073981
+0.0736546
+0.0733921
+0.0731943
+0.0730616
+0.0729945
+0.0729931
+0.0730574
+0.0731873
+0.0733824
+0.0736421
+0.0739658
+0.0743527
+0.0727355
+0.0708314
+0.0689417
+0.0670661
+0.0652101
+0.0633755
+0.0615643
+0.0597784
+0.0580203
+0.0562925
+0.0545979
+0.0528961
+0.0512224
+0.049589
+0.048
+0.04646
+0.044974
+0.0435475
+0.0421867
+0.0408979
+0.039665
+0.0385169
+0.037462
+0.0365044
+0.0356288
+0.0348531
+0.0341943
+0.0336655
+0.0332453
+0.0329414
+0.0324815
+0.0320746
+0.0317992
+0.0316537
+0.0315727
+0.0315907
+0.0314471
+0.0312704
+0.0311756
+0.0312266
+0.0314306
+0.0317847
+0.0322524
+0.0328334
+0.0335217
+0.0343033
+0.0337434
+0.0327829
+0.0319294
+0.0312065
+0.0306136
+0.030142
+0.029799
+0.0296023
+0.0294247
+0.0290896
+0.0288362
+0.0287
+0.0287307
+0.0287271
+0.0286458
+0.0287254
+0.0288909
+0.0291419
+0.0295432
+0.0300768
+0.0307576
+0.031576
+0.0325216
+0.0335837
+0.0347516
+0.036015
+0.0373642
+0.0387813
+0.0402534
+0.0417886
+0.04338
+0.0450219
+0.0467088
+0.0484361
+0.0501995
+0.0519954
+0.0538206
+0.0556716
+0.0575455
+0.0593798
+0.0597069
+0.075943
+0.0756251
+0.0753694
+0.0751768
+0.0750477
+0.0749823
+0.074981
+0.0750436
+0.07517
+0.0753599
+0.0756129
+0.0759282
+0.0755241
+0.0736269
+0.0717459
+0.0698772
+0.0680274
+0.0661984
+0.064392
+0.0626101
+0.0608549
+0.0591288
+0.0574344
+0.0557746
+0.0541148
+0.05248
+0.050887
+0.0493398
+0.0478429
+0.0464013
+0.0450201
+0.0437051
+0.0424435
+0.0412565
+0.040154
+0.0391432
+0.0382313
+0.0374132
+0.0366762
+0.0360508
+0.0355404
+0.0351424
+0.0348776
+0.0344856
+0.0340984
+0.0338395
+0.0337067
+0.0336202
+0.0336592
+0.0334965
+0.0332986
+0.0332079
+0.0332558
+0.0334474
+0.0337804
+0.0342336
+0.0347816
+0.0354335
+0.03618
+0.0356974
+0.0347775
+0.0339741
+0.0332957
+0.032732
+0.0322681
+0.0319479
+0.0317586
+0.0315506
+0.0312384
+0.030977
+0.0308502
+0.0308788
+0.030915
+0.030834
+0.030908
+0.0310649
+0.0313003
+0.0316773
+0.0321756
+0.0328129
+0.0335812
+0.0344719
+0.0354756
+0.0365832
+0.0377854
+0.0390735
+0.0404394
+0.0418613
+0.0433396
+0.0448761
+0.0464651
+0.0481014
+0.0497804
+0.0514978
+0.05325
+0.0550336
+0.0568456
+0.0586835
+0.0605438
+0.0610486
+0.0779172
+0.0776073
+0.0773582
+0.0771706
+0.0770448
+0.0769811
+0.0769798
+0.0770408
+0.077164
+0.077349
+0.0775955
+0.0779028
+0.0764457
+0.074572
+0.0727117
+0.0708681
+0.0690449
+0.0672436
+0.065466
+0.0637142
+0.0619903
+0.0602967
+0.058636
+0.0570112
+0.0553918
+0.0537957
+0.0522427
+0.0507368
+0.0492822
+0.0478837
+0.0465463
+0.0452635
+0.0440435
+0.0429008
+0.0418417
+0.0408726
+0.0399986
+0.0392193
+0.0385228
+0.0379295
+0.0374493
+0.0370718
+0.0368209
+0.0365111
+0.0361417
+0.0358975
+0.0357646
+0.0356831
+0.0357136
+0.0355458
+0.0353462
+0.0352591
+0.0353043
+0.0354849
+0.0357988
+0.0362388
+0.0367561
+0.0373724
+0.0380877
+0.0376651
+0.0367944
+0.036036
+0.0353971
+0.0348377
+0.0344022
+0.0341021
+0.0339194
+0.0336841
+0.0333864
+0.0331243
+0.0330058
+0.0330324
+0.0330987
+0.0330226
+0.0330916
+0.0332406
+0.033463
+0.0338187
+0.0342859
+0.0348846
+0.0356083
+0.0364495
+0.0374002
+0.0384523
+0.0395978
+0.0408288
+0.0421378
+0.0435178
+0.0449439
+0.0464273
+0.047965
+0.0495518
+0.0511832
+0.052855
+0.0545636
+0.0563056
+0.058078
+0.0598781
+0.0617035
+0.0624364
+0.0799027
+0.0796005
+0.0793577
+0.0791748
+0.0790522
+0.0789901
+0.0789889
+0.0790483
+0.0791683
+0.0793487
+0.079589
+0.0792854
+0.0774184
+0.0755668
+0.0737296
+0.0719121
+0.0701161
+0.068343
+0.0665948
+0.0648734
+0.0631812
+0.0615204
+0.0598936
+0.0583039
+0.0567167
+0.0551589
+0.0536453
+0.0521798
+0.0507666
+0.0494101
+0.0481152
+0.0468697
+0.0456927
+0.0445922
+0.0435742
+0.0426445
+0.0418054
+0.0410603
+0.0403959
+0.0398382
+0.0393853
+0.0390288
+0.0387906
+0.0385546
+0.0382013
+0.0379704
+0.0378304
+0.0377534
+0.037782
+0.0375987
+0.03741
+0.0373263
+0.0373689
+0.0375396
+0.0378365
+0.0382568
+0.0387534
+0.0393377
+0.0400142
+0.0396562
+0.0388301
+0.0381122
+0.0374874
+0.0369534
+0.0365431
+0.0362598
+0.0360837
+0.0358218
+0.0355232
+0.0352769
+0.0351657
+0.0351907
+0.0352828
+0.0352114
+0.0352762
+0.0354181
+0.035629
+0.0359659
+0.0364057
+0.0369701
+0.0376537
+0.0384501
+0.0393526
+0.0403538
+0.0414468
+0.0426244
+0.0438799
+0.0452067
+0.0465959
+0.0480284
+0.0495163
+0.051055
+0.0526398
+0.0542668
+0.0559323
+0.0576329
+0.0593657
+0.0611279
+0.062917
+0.0638652
+0.0818986
+0.0816038
+0.081367
+0.0811886
+0.081069
+0.0810086
+0.0810073
+0.0810653
+0.0811823
+0.0813582
+0.0815926
+0.0802835
+0.0784399
+0.0766094
+0.0747978
+0.073007
+0.0712385
+0.0694941
+0.0677756
+0.066085
+0.0644246
+0.0627967
+0.0612039
+0.059649
+0.0580939
+0.056574
+0.0550993
+0.0536735
+0.0523007
+0.050985
+0.0497283
+0.0485217
+0.0473857
+0.0463255
+0.0453464
+0.0444525
+0.0436473
+0.0429343
+0.0422993
+0.0417697
+0.0413428
+0.0410095
+0.0407828
+0.0406109
+0.0402748
+0.0400558
+0.0399094
+0.0398365
+0.0398634
+0.0396664
+0.0394872
+0.0394068
+0.0394471
+0.0396089
+0.0398904
+0.0402892
+0.0407702
+0.0413257
+0.0419665
+0.0416673
+0.0408819
+0.0402007
+0.0395827
+0.0390773
+0.0386895
+0.0384182
+0.0382511
+0.037965
+0.0376661
+0.037434
+0.0373292
+0.0373528
+0.0374676
+0.0374004
+0.0374614
+0.0375971
+0.0377979
+0.0381157
+0.0385334
+0.0390671
+0.0397146
+0.0404705
+0.0413288
+0.0422833
+0.0433277
+0.0444555
+0.0456607
+0.0469372
+0.0482794
+0.0496745
+0.0511146
+0.0526064
+0.0541459
+0.0557289
+0.057352
+0.0590117
+0.0607052
+0.0624295
+0.0641824
+0.065336
+0.0839043
+0.0836166
+0.0833854
+0.0832114
+0.0830947
+0.0830357
+0.0830345
+0.083091
+0.0832052
+0.0833769
+0.0831652
+0.0813283
+0.0795057
+0.0776999
+0.0759143
+0.0741504
+0.0724099
+0.0706943
+0.0690057
+0.067346
+0.0657175
+0.0641224
+0.0625634
+0.0610431
+0.0595198
+0.0580373
+0.0566007
+0.0552138
+0.0538802
+0.052604
+0.0513817
+0.0502148
+0.049118
+0.048096
+0.0471537
+0.0462928
+0.0455201
+0.0448369
+0.0442292
+0.043723
+0.0433215
+0.0430105
+0.0427945
+0.0426797
+0.04236
+0.0421519
+0.0419998
+0.0419304
+0.0419559
+0.0417465
+0.0415756
+0.0414986
+0.0415369
+0.0416905
+0.0419581
+0.0423375
+0.0428038
+0.0433333
+0.0439412
+0.0436956
+0.0429474
+0.0422755
+0.0416877
+0.0412082
+0.0408406
+0.0405791
+0.0404209
+0.0401133
+0.0398143
+0.0395947
+0.0394956
+0.0395179
+0.0396531
+0.0395896
+0.0396472
+0.0397774
+0.0399692
+0.0402698
+0.0406678
+0.0411738
+0.0417887
+0.0425077
+0.0433257
+0.0442372
+0.0452364
+0.0463178
+0.0474757
+0.0487047
+0.0499994
+0.051355
+0.0527553
+0.0542021
+0.0556974
+0.0572376
+0.058819
+0.0604385
+0.062093
+0.0637799
+0.0654966
+0.0668462
+0.0859189
+0.085638
+0.0854124
+0.0852424
+0.0851286
+0.085071
+0.0850698
+0.085125
+0.0852364
+0.085404
+0.0842313
+0.0824167
+0.0806165
+0.0788361
+0.0770768
+0.0753402
+0.0736278
+0.0719413
+0.0702827
+0.0686538
+0.067057
+0.0654946
+0.063969
+0.0624754
+0.0609911
+0.0595452
+0.058146
+0.0567967
+0.0555012
+0.0542632
+0.0530731
+0.0519442
+0.0508847
+0.0498989
+0.0489913
+0.0481624
+0.0474202
+0.0467647
+0.0461825
+0.0456979
+0.0453141
+0.0450287
+0.0448224
+0.0447194
+0.0444554
+0.0442571
+0.0440999
+0.0440339
+0.044058
+0.0438375
+0.0436736
+0.0436001
+0.0436366
+0.0437829
+0.0440377
+0.0443993
+0.0448522
+0.0453438
+0.0459174
+0.045739
+0.0450205
+0.044361
+0.0438012
+0.043345
+0.0429958
+0.0427431
+0.0425929
+0.042266
+0.0419668
+0.0417586
+0.0416647
+0.0416858
+0.0418218
+0.041779
+0.0418336
+0.0419588
+0.0421425
+0.0424277
+0.0428079
+0.0432889
+0.0438742
+0.0445596
+0.0453405
+0.0462123
+0.0471697
+0.0482077
+0.0493213
+0.0505053
+0.0517551
+0.0530659
+0.0544333
+0.0558381
+0.0572907
+0.0587892
+0.0603299
+0.0619099
+0.0635261
+0.0651759
+0.0668568
+0.0683933
+0.087942
+0.0876676
+0.0874472
+0.0872812
+0.08717
+0.0871138
+0.0871126
+0.0871665
+0.0872754
+0.0871477
+0.0853397
+0.0835451
+0.0817698
+0.080015
+0.0782823
+0.076573
+0.0748887
+0.0732313
+0.0716026
+0.0700045
+0.0684392
+0.066909
+0.0654101
+0.0639482
+0.0625046
+0.0610945
+0.0597315
+0.058419
+0.0571602
+0.0559561
+0.0547991
+0.0537066
+0.0526825
+0.0517309
+0.050856
+0.0500581
+0.0493444
+0.0487148
+0.0481561
+0.0476916
+0.047324
+0.0470556
+0.0468582
+0.0467583
+0.0465589
+0.0463697
+0.0462084
+0.0461454
+0.0461684
+0.0459377
+0.0457801
+0.04571
+0.0457448
+0.0458844
+0.0461276
+0.046473
+0.0469059
+0.0473699
+0.0478927
+0.0477954
+0.0470863
+0.0464561
+0.0459219
+0.045487
+0.0451543
+0.0449096
+0.0447499
+0.0444112
+0.0441231
+0.0439251
+0.0438358
+0.0438559
+0.0439852
+0.0439685
+0.0440204
+0.0441411
+0.0443175
+0.0445888
+0.0449528
+0.0454111
+0.0459694
+0.046624
+0.0473709
+0.048206
+0.0491246
+0.0501221
+0.051194
+0.0523358
+0.0535428
+0.0548108
+0.0561358
+0.057511
+0.0589224
+0.0603804
+0.0618815
+0.0634229
+0.0650015
+0.0666147
+0.0682602
+0.0699355
+0.0897321
+0.0878058
+0.0858921
+0.083992
+0.0821063
+0.0802362
+0.0783826
+0.0765469
+0.0747303
+0.0729343
+0.0711589
+0.0694031
+0.0676724
+0.0659691
+0.0642954
+0.0626491
+0.0610369
+0.0594617
+0.0579266
+0.0564347
+0.0549897
+0.0535953
+0.0522464
+0.050952
+0.0497204
+0.0485565
+0.0474651
+0.0464366
+0.0454799
+0.0446103
+0.0438331
+0.0431532
+0.0425753
+0.0421036
+0.0417416
+0.0414913
+0.0413342
+0.041293
+0.0413678
+0.0415582
+0.0418625
+0.0422783
+0.0427744
+0.0432443
+0.0438188
+0.0444939
+0.045265
+0.0461117
+0.0470243
+0.0480195
+0.0490924
+0.0502368
+0.0514367
+0.0527004
+0.0540168
+0.055364
+0.056532
+0.0577371
+0.0589891
+0.0602946
+0.0616504
+0.0630531
+0.0644727
+0.0659277
+0.0673648
+0.0688221
+0.0703175
+0.0718418
+0.0730974
+0.072787
+0.0725415
+0.0723615
+0.0722404
+0.0721798
+0.0721733
+0.0722328
+0.0723586
+0.0725504
+0.0728076
+0.0731209
+0.0734376
+0.0737485
+0.0741229
+0.0745598
+0.0750581
+0.0756167
+0.0762213
+0.0768721
+0.0775792
+0.07833
+0.0791338
+0.0799895
+0.0808955
+0.0818501
+0.0828516
+0.0838985
+0.0849563
+0.0860568
+0.0871984
+0.0883796
+0.0887517
+0.0868052
+0.0848705
+0.0829486
+0.0810403
+0.0791467
+0.0772687
+0.0754077
+0.0735648
+0.0717414
+0.0699391
+0.0681596
+0.0664047
+0.0646764
+0.0629768
+0.0612999
+0.0596525
+0.0580397
+0.056466
+0.0549345
+0.0534489
+0.0520132
+0.0506316
+0.0492968
+0.0480227
+0.0468166
+0.0456838
+0.0446292
+0.0436329
+0.0427258
+0.0419136
+0.041202
+0.0405964
+0.0401014
+0.0397212
+0.0394526
+0.0392874
+0.0392439
+0.0393227
+0.0395229
+0.0398428
+0.0402694
+0.0406747
+0.0411686
+0.0417717
+0.0424793
+0.0432863
+0.04415
+0.0451023
+0.046139
+0.0472545
+0.0484332
+0.0496761
+0.0509755
+0.0523343
+0.0535045
+0.0547004
+0.0559345
+0.0572259
+0.0585708
+0.0599655
+0.0613838
+0.0628339
+0.0642747
+0.0657275
+0.0672203
+0.068744
+0.0702967
+0.0717985
+0.0714824
+0.0712324
+0.0710491
+0.0709329
+0.0708645
+0.0708574
+0.070918
+0.0710462
+0.0712415
+0.0714587
+0.0716527
+0.0719046
+0.0722222
+0.0726044
+0.0730504
+0.073559
+0.0741288
+0.0747429
+0.0754064
+0.0761261
+0.0768905
+0.0777092
+0.0785804
+0.0795025
+0.0804736
+0.0814921
+0.0825529
+0.0836276
+0.0847453
+0.0859044
+0.0871031
+0.0878032
+0.0858351
+0.0838781
+0.0819329
+0.0800004
+0.0780815
+0.0761773
+0.0742889
+0.0724176
+0.0705646
+0.0687315
+0.0669198
+0.0651315
+0.0633685
+0.0616329
+0.0599271
+0.0582537
+0.0566157
+0.0550047
+0.0534313
+0.0519027
+0.050423
+0.0489966
+0.0476282
+0.0463231
+0.0450867
+0.0439248
+0.0428425
+0.0418191
+0.0408717
+0.040022
+0.0392761
+0.0386403
+0.0381199
+0.0377197
+0.03743
+0.0372559
+0.0372101
+0.0372931
+0.0375042
+0.0378313
+0.0381836
+0.0385851
+0.0391054
+0.0397398
+0.040483
+0.0413081
+0.0422108
+0.0432058
+0.0442869
+0.0454421
+0.0466605
+0.0479415
+0.0492866
+0.0504856
+0.0516709
+0.0528851
+0.0541606
+0.0554932
+0.0568791
+0.0582958
+0.0597406
+0.0611854
+0.0626333
+0.0641233
+0.0656461
+0.067199
+0.0687867
+0.0704067
+0.070222
+0.0699674
+0.0697808
+0.0696593
+0.0695872
+0.06958
+0.0696418
+0.0697315
+0.0697981
+0.0699328
+0.0701357
+0.0704059
+0.0707306
+0.0711209
+0.0715762
+0.0720951
+0.0726764
+0.0732981
+0.0739746
+0.0747083
+0.0754871
+0.0763209
+0.0772078
+0.078146
+0.0791338
+0.0801693
+0.081244
+0.0823358
+0.0834708
+0.0846473
+0.0858636
+0.0868995
+0.0849105
+0.0829317
+0.0809637
+0.0790075
+0.077064
+0.075134
+0.0732187
+0.0713192
+0.0694369
+0.0675732
+0.0657297
+0.0639081
+0.0621103
+0.0603385
+0.0585951
+0.0568826
+0.0552039
+0.0535622
+0.0519508
+0.0503773
+0.0488514
+0.0473777
+0.0459612
+0.0446073
+0.0433219
+0.0421114
+0.0409822
+0.0399414
+0.038996
+0.0381531
+0.0373794
+0.0367107
+0.0361626
+0.0357405
+0.0354275
+0.0352435
+0.035195
+0.0352829
+0.0354964
+0.0357875
+0.0360828
+0.0365074
+0.0370569
+0.0377258
+0.0385057
+0.0393508
+0.0402974
+0.0413385
+0.0424627
+0.0436564
+0.0449163
+0.0462456
+0.0474769
+0.0486368
+0.0498416
+0.0510992
+0.0524181
+0.053794
+0.055209
+0.0566477
+0.0580971
+0.0595394
+0.0610263
+0.0625483
+0.0641014
+0.0656908
+0.067314
+0.0689628
+0.0690081
+0.068749
+0.068559
+0.068427
+0.0683544
+0.0682836
+0.0682241
+0.068235
+0.0683055
+0.0684431
+0.0686504
+0.0689268
+0.0692621
+0.0696606
+0.0701253
+0.070655
+0.071248
+0.0718911
+0.0725807
+0.0733286
+0.074122
+0.0749709
+0.0758736
+0.0768281
+0.0778326
+0.0788852
+0.0799736
+0.0810825
+0.0822348
+0.0834288
+0.0846559
+0.0860421
+0.0840328
+0.0820328
+0.0800428
+0.0780635
+0.0760959
+0.0741407
+0.072199
+0.070272
+0.0683609
+0.066467
+0.0645919
+0.0627373
+0.060905
+0.0590971
+0.0573159
+0.0555639
+0.0538441
+0.0521597
+0.0505141
+0.0489025
+0.047329
+0.0458064
+0.0443397
+0.0429347
+0.0415977
+0.0403354
+0.0391551
+0.0380644
+0.0370711
+0.0361834
+0.0354092
+0.034756
+0.0342307
+0.0337848
+0.0334486
+0.0332536
+0.0332023
+0.0332862
+0.0334948
+0.0336797
+0.0339934
+0.0344438
+0.0350256
+0.0357325
+0.0365297
+0.0374194
+0.0384136
+0.0395007
+0.0406634
+0.0419017
+0.0432128
+0.0444804
+0.0456114
+0.0468053
+0.0480425
+0.0493459
+0.0507104
+0.0521235
+0.0535555
+0.0550098
+0.056446
+0.0579295
+0.0594505
+0.0610038
+0.0625952
+0.064222
+0.0658732
+0.067549
+0.0678432
+0.0675797
+0.0673796
+0.0671575
+0.0669538
+0.0668214
+0.0667607
+0.0667718
+0.0668513
+0.0669919
+0.0672037
+0.067486
+0.0678326
+0.0682394
+0.0687138
+0.0692542
+0.0698591
+0.070524
+0.0712269
+0.071989
+0.0727971
+0.0736613
+0.0745798
+0.0755508
+0.076572
+0.0776367
+0.0787293
+0.0798609
+0.0810306
+0.082242
+0.083487
+0.0852325
+0.0832036
+0.0811832
+0.0791718
+0.0771702
+0.0751791
+0.0731995
+0.0712322
+0.0692783
+0.067339
+0.0654155
+0.0635094
+0.0616222
+0.0597557
+0.0579119
+0.0560931
+0.0543017
+0.0525406
+0.0508129
+0.0491222
+0.0474724
+0.0458608
+0.0442877
+0.042769
+0.0413106
+0.0399192
+0.0386021
+0.0373671
+0.0362226
+0.0351774
+0.0342406
+0.0334214
+0.0327285
+0.0321702
+0.0317526
+0.0314537
+0.0312906
+0.0312273
+0.0312966
+0.0313925
+0.0315832
+0.0319175
+0.0323967
+0.0330147
+0.0337571
+0.0345795
+0.0355181
+0.0365613
+0.0376874
+0.0389003
+0.0401898
+0.041483
+0.0425964
+0.0437761
+0.0449914
+0.0462771
+0.0476288
+0.0490396
+0.050464
+0.0519239
+0.0533532
+0.0548328
+0.0563528
+0.0579063
+0.0594999
+0.0611305
+0.0627844
+0.064466
+0.0661755
+0.0666453
+0.066265
+0.0659554
+0.0657174
+0.0655301
+0.0653948
+0.0653328
+0.0653441
+0.0654289
+0.0655818
+0.0657981
+0.0660864
+0.066443
+0.0668583
+0.0673424
+0.0678937
+0.0685107
+0.0691915
+0.0699156
+0.070692
+0.0715149
+0.0723944
+0.0733288
+0.074316
+0.0753411
+0.0764028
+0.0775119
+0.0786581
+0.0798454
+0.0810746
+0.0823436
+0.0844719
+0.0824243
+0.0803843
+0.0783524
+0.0763293
+0.0743157
+0.0723124
+0.0703203
+0.0683403
+0.0663736
+0.0644213
+0.0624849
+0.0605658
+0.0586657
+0.0567865
+0.0549304
+0.0530999
+0.0512975
+0.0495265
+0.0477903
+0.0460928
+0.0444386
+0.0428273
+0.0412548
+0.0397409
+0.0382926
+0.0369174
+0.0356241
+0.0344216
+0.03332
+0.0323294
+0.0314605
+0.0307234
+0.030128
+0.0296826
+0.0293672
+0.0292086
+0.0292138
+0.0292494
+0.0292971
+0.0295004
+0.029858
+0.0303698
+0.0310281
+0.0317878
+0.0326598
+0.0336505
+0.0347327
+0.0359153
+0.0371793
+0.0384788
+0.0395943
+0.0407431
+0.0419473
+0.0432124
+0.0445494
+0.045952
+0.0473734
+0.0488395
+0.0502611
+0.0517363
+0.0532551
+0.0548088
+0.0564049
+0.0580396
+0.0596965
+0.0613846
+0.063099
+0.064836
+0.0652227
+0.0648341
+0.0645176
+0.0642743
+0.0640942
+0.0639848
+0.0639363
+0.0639479
+0.0640345
+0.0641958
+0.0644307
+0.064726
+0.0650928
+0.0655186
+0.0660125
+0.0665748
+0.0672039
+0.0678979
+0.0686491
+0.0694398
+0.0702775
+0.0711723
+0.0721226
+0.0731016
+0.0741306
+0.0752094
+0.0763352
+0.0774943
+0.078697
+0.0799416
+0.0812263
+0.0837616
+0.0816963
+0.0796376
+0.0775862
+0.0755426
+0.0735074
+0.0714815
+0.0694656
+0.0674605
+0.0654674
+0.0634872
+0.0615214
+0.0595712
+0.0576384
+0.0557246
+0.0538319
+0.0519626
+0.0501194
+0.0483052
+0.0465235
+0.044778
+0.0430733
+0.0414142
+0.0398037
+0.0382324
+0.0367246
+0.0352884
+0.033933
+0.0326684
+0.0315055
+0.030456
+0.0295319
+0.0287455
+0.0281082
+0.0276303
+0.0272971
+0.0271263
+0.027132
+0.0271654
+0.0272167
+0.0274344
+0.0278186
+0.0283672
+0.0290567
+0.0298494
+0.0307761
+0.0318054
+0.0329483
+0.0341844
+0.0354909
+0.0366081
+0.0377207
+0.0389117
+0.040153
+0.0414729
+0.0428642
+0.0442838
+0.0457514
+0.0471697
+0.04864
+0.0501574
+0.0517114
+0.0533102
+0.0549487
+0.0566098
+0.0583049
+0.0600247
+0.0617705
+0.0635438
+0.0637666
+0.0634177
+0.0631231
+0.0628744
+0.0626923
+0.0625805
+0.0625453
+0.0625868
+0.0626857
+0.0628505
+0.0630909
+0.0634023
+0.0637767
+0.0642237
+0.0647294
+0.0653028
+0.065944
+0.0666511
+0.067422
+0.068235
+0.0690875
+0.0699878
+0.0709267
+0.0719202
+0.0729659
+0.0740591
+0.0751914
+0.0763678
+0.077588
+0.0788501
+0.0801523
+0.0831031
+0.081021
+0.0789447
+0.0768748
+0.0748118
+0.0727562
+0.0707087
+0.0686701
+0.0666411
+0.0646227
+0.0626159
+0.0606218
+0.0586417
+0.0566771
+0.0547298
+0.0528014
+0.0508943
+0.049011
+0.0471542
+0.0453272
+0.0435338
+0.0417783
+0.0400656
+0.0384017
+0.0367925
+0.0352231
+0.033723
+0.032302
+0.0309709
+0.0297417
+0.0286276
+0.0276425
+0.0268006
+0.0261159
+0.0256009
+0.0252473
+0.0250626
+0.0250687
+0.0250996
+0.0251551
+0.0253894
+0.025804
+0.0263945
+0.0271001
+0.0279482
+0.0289136
+0.0300068
+0.0312096
+0.0325089
+0.0336239
+0.0347116
+0.035883
+0.0370999
+0.0383998
+0.0397779
+0.0411955
+0.0426569
+0.0440792
+0.045544
+0.0470598
+0.0486141
+0.0502159
+0.0518579
+0.0535244
+0.0552273
+0.056953
+0.0587084
+0.0604921
+0.0623019
+0.062306
+0.0619741
+0.0616947
+0.0614856
+0.0613366
+0.0612224
+0.0611864
+0.0612288
+0.0613495
+0.061548
+0.0617992
+0.062121
+0.0625097
+0.0629657
+0.063494
+0.0640798
+0.0647333
+0.0654536
+0.0662386
+0.0670787
+0.0679253
+0.0688226
+0.0697773
+0.0707869
+0.0718445
+0.0729454
+0.0740947
+0.0752883
+0.0765256
+0.077805
+0.0791244
+0.0824882
+0.0803982
+0.078307
+0.0762198
+0.0741385
+0.0720637
+0.069996
+0.067936
+0.0658844
+0.0638421
+0.0618099
+0.0597889
+0.0577803
+0.0557854
+0.0538058
+0.0518431
+0.0498994
+0.047977
+0.0460785
+0.0442071
+0.0423663
+0.0405603
+0.038794
+0.0370729
+0.0354038
+0.0337944
+0.0322306
+0.0307407
+0.0293388
+0.0280381
+0.0268534
+0.0258007
+0.0248967
+0.024158
+0.0236003
+0.0232233
+0.0230223
+0.023029
+0.0230568
+0.0231172
+0.0233707
+0.0238205
+0.0244265
+0.0251819
+0.0260693
+0.0271002
+0.0282613
+0.0295279
+0.0306324
+0.0317197
+0.0328517
+0.034055
+0.0353311
+0.0366937
+0.0381087
+0.0395628
+0.0409899
+0.0424482
+0.0439623
+0.045517
+0.0471222
+0.0487672
+0.0504405
+0.0521507
+0.0538843
+0.0556503
+0.0574454
+0.0592672
+0.0611132
+0.0608739
+0.0605341
+0.0602721
+0.0600802
+0.0599456
+0.0598908
+0.0598768
+0.0599202
+0.0600435
+0.0602463
+0.0605261
+0.0608699
+0.0612812
+0.0617503
+0.0622897
+0.0628953
+0.0635611
+0.0642948
+0.0650939
+0.0659439
+0.066796
+0.0677084
+0.0686785
+0.0696972
+0.0707637
+0.0718812
+0.0730473
+0.0742577
+0.0755119
+0.0768082
+0.0781444
+0.081914
+0.079809
+0.0777086
+0.0756135
+0.0735239
+0.0714317
+0.0693452
+0.0672652
+0.0651926
+0.0631279
+0.0610719
+0.0590257
+0.0569902
+0.0549666
+0.0529564
+0.050961
+0.0489823
+0.0470224
+0.0450838
+0.0431693
+0.0412822
+0.0394266
+0.037607
+0.035829
+0.0340991
+0.0324249
+0.0308156
+0.0292602
+0.0277837
+0.0264065
+0.0251451
+0.0240176
+0.0230437
+0.0222436
+0.0216366
+0.0212258
+0.0210058
+0.021013
+0.0210437
+0.02111
+0.0213859
+0.0218654
+0.0224938
+0.0232898
+0.0242411
+0.0253464
+0.0265737
+0.0276644
+0.0287502
+0.0298341
+0.0310206
+0.0322679
+0.033612
+0.035024
+0.0364695
+0.037902
+0.0393529
+0.0408649
+0.0424199
+0.044029
+0.0456774
+0.0473585
+0.0490751
+0.0508192
+0.0525968
+0.0544045
+0.0562395
+0.0580991
+0.0598991
+0.059487
+0.0591403
+0.0588573
+0.0586538
+0.0585316
+0.0584913
+0.058533
+0.0586505
+0.0587901
+0.0589972
+0.0592732
+0.0596242
+0.0600532
+0.0605562
+0.0611206
+0.0617558
+0.0624431
+0.0631897
+0.0640027
+0.0648541
+0.0657204
+0.0666475
+0.0676238
+0.0686526
+0.0697351
+0.0708688
+0.0720512
+0.0732781
+0.0745488
+0.0758616
+0.0772141
+0.0813947
+0.0792759
+0.0771611
+0.0750506
+0.0729449
+0.0708443
+0.0687493
+0.0666598
+0.0645677
+0.0624823
+0.0604044
+0.0583348
+0.0562743
+0.054224
+0.0521852
+0.0501591
+0.0481475
+0.0461521
+0.0441753
+0.0422196
+0.0402881
+0.0383845
+0.036513
+0.034679
+0.0328886
+0.0311494
+0.0294705
+0.0278628
+0.0263192
+0.024861
+0.0235168
+0.0223072
+0.0212551
+0.0203849
+0.0197208
+0.0192692
+0.0190265
+0.0190345
+0.0190699
+0.019143
+0.0194454
+0.0199251
+0.0206015
+0.0214485
+0.0224778
+0.0236563
+0.0247119
+0.0257891
+0.0268349
+0.0279931
+0.0292122
+0.0305336
+0.0319419
+0.0333771
+0.034816
+0.0362579
+0.0377675
+0.039323
+0.0409366
+0.0425888
+0.0442788
+0.0460025
+0.0477584
+0.0495489
+0.0513705
+0.0532199
+0.0550943
+0.0569913
+0.0585059
+0.0580857
+0.0577456
+0.0574585
+0.05725
+0.0571248
+0.0570835
+0.0571263
+0.0572529
+0.0574627
+0.057755
+0.0580682
+0.0584342
+0.0588718
+0.059387
+0.0599779
+0.0606316
+0.0613471
+0.0621215
+0.0629626
+0.063821
+0.0647011
+0.0656312
+0.0666187
+0.0676628
+0.0687609
+0.0699103
+0.0711087
+0.0723516
+0.0736383
+0.0748959
+0.0760608
+0.0809314
+0.0788001
+0.0766722
+0.0745479
+0.0724276
+0.0703115
+0.0682002
+0.0660941
+0.0639936
+0.0618994
+0.0598097
+0.0577188
+0.0556355
+0.0535608
+0.0514956
+0.0494413
+0.0473993
+0.045371
+0.0433586
+0.0413643
+0.0393909
+0.0374417
+0.0355206
+0.0336324
+0.0317832
+0.02998
+0.0282316
+0.026549
+0.0249453
+0.0234187
+0.0219865
+0.0206876
+0.0195485
+0.0185986
+0.0178682
+0.0173685
+0.0170989
+0.0171078
+0.0171489
+0.0172296
+0.0175284
+0.0180422
+0.0187521
+0.0196788
+0.0207913
+0.021788
+0.022822
+0.023861
+0.0249649
+0.0261664
+0.0274596
+0.0288613
+0.0302858
+0.0317323
+0.0331636
+0.0346703
+0.0362263
+0.0378452
+0.0395016
+0.0412018
+0.0429336
+0.0447027
+0.0465077
+0.0483445
+0.0502098
+0.0521004
+0.0540137
+0.0559445
+0.0571493
+0.0567191
+0.0563707
+0.0560929
+0.055896
+0.0557687
+0.0557263
+0.0557701
+0.0558998
+0.0561147
+0.056414
+0.0567962
+0.0572561
+0.0577363
+0.0582745
+0.0588766
+0.0595531
+0.0602925
+0.0610858
+0.0619443
+0.0628467
+0.0637269
+0.0646693
+0.0656713
+0.0667303
+0.0678434
+0.0690082
+0.070222
+0.0714139
+0.0725109
+0.073623
+0.0747828
+0.0805251
+0.0783828
+0.0762432
+0.0741066
+0.0719732
+0.0698434
+0.0677175
+0.0655959
+0.0634789
+0.0613671
+0.0592611
+0.0571614
+0.0550688
+0.0529798
+0.0508912
+0.0488114
+0.0467418
+0.0446838
+0.0426389
+0.0406093
+0.0385973
+0.0366058
+0.0346384
+0.0326994
+0.0307942
+0.0289294
+0.0271133
+0.0253566
+0.0236723
+0.0220771
+0.0205759
+0.0191817
+0.0179473
+0.0169077
+0.0161008
+0.0155423
+0.015163
+0.0150502
+0.0152544
+0.0153842
+0.0156637
+0.0162
+0.016984
+0.0179899
+0.0189197
+0.019895
+0.0209133
+0.0219563
+0.0231346
+0.0243917
+0.0257741
+0.0271961
+0.0286517
+0.0300701
+0.0315733
+0.0331299
+0.0347546
+0.0364164
+0.0381276
+0.0398692
+0.0416532
+0.0434744
+0.0453284
+0.0472111
+0.0491195
+0.051048
+0.0529947
+0.0549597
+0.0558334
+0.0553929
+0.0550362
+0.0547637
+0.0545625
+0.0544482
+0.0544219
+0.0544683
+0.0546011
+0.0548211
+0.0551274
+0.0555185
+0.0559834
+0.0565221
+0.0571398
+0.057819
+0.0585133
+0.059275
+0.0601001
+0.0609746
+0.0619143
+0.0628123
+0.0637683
+0.0647842
+0.065791
+0.0668503
+0.0679637
+0.069109
+0.0701383
+0.0712201
+0.0723521
+0.0735319
+0.0801364
+0.0780084
+0.0758699
+0.0737247
+0.0715821
+0.0694413
+0.0673027
+0.0651676
+0.0630362
+0.0609091
+0.0587866
+0.0566694
+0.0545579
+0.0524529
+0.0503553
+0.0482643
+0.0461791
+0.0440948
+0.0420213
+0.0399603
+0.0379139
+0.0358845
+0.0338752
+0.0318898
+0.0299331
+0.028011
+0.0261312
+0.0243036
+0.0225408
+0.0208592
+0.0192738
+0.0177924
+0.0164553
+0.0152908
+0.014264
+0.0135171
+0.0130841
+0.0129531
+0.0131898
+0.0135538
+0.0138693
+0.0144518
+0.0152929
+0.0161365
+0.0169982
+0.0180028
+0.0189764
+0.0201099
+0.0213326
+0.0226899
+0.0241085
+0.0255753
+0.0269776
+0.0284766
+0.0300338
+0.0316641
+0.0333335
+0.0350538
+0.0368104
+0.0386115
+0.040451
+0.042324
+0.0442262
+0.046152
+0.0480973
+0.0500628
+0.0520463
+0.0540459
+0.0545716
+0.0541219
+0.0537567
+0.0534788
+0.0532858
+0.0531687
+0.0531418
+0.0532052
+0.0533585
+0.0535859
+0.0538992
+0.0542991
+0.0547687
+0.0553193
+0.0559503
+0.056659
+0.0574426
+0.0582902
+0.0591362
+0.0600503
+0.0609254
+0.0617578
+0.0626557
+0.0636129
+0.064605
+0.0656552
+0.0667609
+0.0678242
+0.0688727
+0.069974
+0.0711259
+0.0722766
+0.07973
+0.0775909
+0.0754547
+0.0733217
+0.0711923
+0.0690665
+0.0669416
+0.0648026
+0.0626614
+0.0605237
+0.0583898
+0.0562584
+0.0541309
+0.0520086
+0.0498923
+0.0477811
+0.0456752
+0.0435776
+0.0414897
+0.0394129
+0.0373466
+0.0352846
+0.033239
+0.0312132
+0.0292112
+0.0272382
+0.0253011
+0.0234088
+0.021573
+0.0198094
+0.0181324
+0.0164893
+0.0149422
+0.0135735
+0.0124104
+0.0115443
+0.0110473
+0.010893
+0.0111734
+0.0117846
+0.0121805
+0.0127757
+0.0134878
+0.0141717
+0.0151038
+0.016031
+0.017089
+0.0182866
+0.01961
+0.0210241
+0.0225049
+0.0238865
+0.0253801
+0.0269382
+0.0285738
+0.0302537
+0.0319846
+0.0337589
+0.0355795
+0.0374398
+0.0393342
+0.0412566
+0.0432001
+0.0451662
+0.0471522
+0.0491556
+0.0511042
+0.053066
+0.0533677
+0.052911
+0.0525374
+0.0522531
+0.0520594
+0.0519502
+0.0519226
+0.0519875
+0.0521443
+0.0523924
+0.0527304
+0.0531383
+0.0536162
+0.0541784
+0.0548226
+0.0555457
+0.0563447
+0.0572166
+0.0581458
+0.0589559
+0.0597201
+0.0605539
+0.0614402
+0.06239
+0.0634013
+0.0644711
+0.0655537
+0.0665814
+0.0676351
+0.0687007
+0.0698005
+0.0709502
+0.079382
+0.0772332
+0.0750868
+0.0729431
+0.0708023
+0.0686644
+0.0665286
+0.064396
+0.0622674
+0.0601433
+0.0580241
+0.0559105
+0.0537778
+0.0516442
+0.0495155
+0.0473925
+0.0452704
+0.0431532
+0.0410437
+0.0389431
+0.0368531
+0.0347754
+0.0327125
+0.0306662
+0.0286296
+0.0266176
+0.0246359
+0.0226908
+0.0207917
+0.0188939
+0.0170177
+0.015211
+0.0135184
+0.0119882
+0.0106853
+0.00966578
+0.00907065
+0.00889546
+0.00923611
+0.00991402
+0.0105262
+0.0110567
+0.0114698
+0.0122663
+0.0131347
+0.0141017
+0.0152617
+0.0165369
+0.0179443
+0.019421
+0.0207976
+0.0222841
+0.0238433
+0.0254839
+0.027178
+0.0289217
+0.0307166
+0.03256
+0.0344441
+0.036362
+0.0383032
+0.0402701
+0.0422591
+0.044267
+0.0462114
+0.0481732
+0.0501527
+0.052142
+0.0521113
+0.051693
+0.0513515
+0.0510918
+0.0508938
+0.0507895
+0.0507687
+0.050835
+0.0509954
+0.0512491
+0.0515946
+0.0520179
+0.0525236
+0.0531035
+0.0537605
+0.0544977
+0.0553119
+0.0561425
+0.0569829
+0.0577178
+0.0584982
+0.059349
+0.0602529
+0.0612211
+0.0622514
+0.0633374
+0.0642993
+0.0652741
+0.0662999
+0.0673668
+0.0684872
+0.0696475
+0.0780272
+0.0767783
+0.0747814
+0.0726287
+0.0704783
+0.0683303
+0.0661837
+0.0640396
+0.0618988
+0.0597615
+0.0576283
+0.0554996
+0.0533759
+0.0512578
+0.0491461
+0.0470416
+0.0449454
+0.0428287
+0.0407106
+0.0385922
+0.036482
+0.0343819
+0.0322939
+0.0302204
+0.0281647
+0.0261309
+0.0241159
+0.0220626
+0.0200176
+0.0180069
+0.0160435
+0.0141469
+0.0123216
+0.0106204
+0.00913026
+0.00793086
+0.00719361
+0.00699263
+0.00737439
+0.00814626
+0.00880604
+0.00902592
+0.00952754
+0.0103558
+0.0111628
+0.0122467
+0.0134754
+0.0148721
+0.0163341
+0.0177116
+0.0191886
+0.0207493
+0.0223961
+0.0241081
+0.0258671
+0.0276867
+0.0295567
+0.0314681
+0.0334069
+0.0353747
+0.0373673
+0.039381
+0.0413199
+0.0432817
+0.0452617
+0.0472538
+0.0492628
+0.0512866
+0.0509101
+0.0504818
+0.0501321
+0.0498713
+0.0497057
+0.0496364
+0.0496636
+0.049745
+0.0499088
+0.0501679
+0.0505208
+0.0509604
+0.0514765
+0.0520798
+0.0527658
+0.0534939
+0.0541864
+0.0549575
+0.0557643
+0.0565375
+0.057334
+0.0581902
+0.0590951
+0.0600663
+0.0611006
+0.0620435
+0.0629769
+0.0639534
+0.0649799
+0.0660619
+0.0671871
+0.068361
+0.0765799
+0.0753786
+0.0741565
+0.0723792
+0.0702211
+0.068065
+0.0659098
+0.0637565
+0.0616058
+0.0594581
+0.0573136
+0.0551727
+0.0530359
+0.0509037
+0.0487766
+0.0466555
+0.0445411
+0.0424344
+0.0403366
+0.0382493
+0.0361743
+0.0341136
+0.0320147
+0.0299253
+0.02785
+0.0257411
+0.0236192
+0.021511
+0.0194211
+0.0173528
+0.0153057
+0.0133043
+0.011373
+0.00955421
+0.00787629
+0.00644769
+0.00551563
+0.00524774
+0.00570882
+0.00653673
+0.00690527
+0.00709107
+0.00771946
+0.00830244
+0.00925203
+0.0104354
+0.0118136
+0.0132523
+0.0146301
+0.0160923
+0.0176567
+0.0193116
+0.0210404
+0.0228243
+0.0246738
+0.0265752
+0.0285113
+0.0304803
+0.0324777
+0.0344963
+0.0364303
+0.038392
+0.0403726
+0.042368
+0.0443818
+0.0464117
+0.0484555
+0.0502955
+0.0497764
+0.0493383
+0.0489804
+0.0487134
+0.0485439
+0.0484729
+0.0485008
+0.0486275
+0.0488522
+0.0491498
+0.0495099
+0.0499628
+0.0505004
+0.0511151
+0.0516899
+0.0523199
+0.0530277
+0.0537973
+0.05458
+0.055341
+0.0561377
+0.0570057
+0.0579133
+0.0588885
+0.059863
+0.0607302
+0.0616562
+0.0626424
+0.0636888
+0.0647811
+0.0659251
+0.0671211
+0.0751242
+0.0739278
+0.0727656
+0.0715677
+0.0700316
+0.0678695
+0.0657079
+0.0635477
+0.0613897
+0.0592341
+0.0570812
+0.0549313
+0.0527847
+0.0506419
+0.0485034
+0.0463697
+0.0442417
+0.04212
+0.0400058
+0.0379003
+0.035805
+0.0337218
+0.0316531
+0.0296021
+0.0275724
+0.0254394
+0.02329
+0.021149
+0.0190194
+0.0169053
+0.0148136
+0.0127551
+0.010749
+0.0088177
+0.00700807
+0.0053926
+0.00424664
+0.00384144
+0.00426185
+0.00492613
+0.00511238
+0.00535701
+0.00569639
+0.00634155
+0.00744176
+0.00876136
+0.0101801
+0.0115568
+0.012996
+0.0145664
+0.0162323
+0.0179815
+0.0197986
+0.0216849
+0.023617
+0.0255875
+0.0275912
+0.0296145
+0.0315435
+0.0335048
+0.035486
+0.0374855
+0.0395052
+0.0415423
+0.0435943
+0.0456592
+0.0477353
+0.0491831
+0.0486602
+0.0482311
+0.0478985
+0.0476282
+0.0474548
+0.0473821
+0.0474107
+0.0475403
+0.0477702
+0.0480988
+0.0485241
+0.049038
+0.0494683
+0.0499738
+0.0505424
+0.0511447
+0.0518147
+0.0525675
+0.0533997
+0.0541726
+0.0549705
+0.0558253
+0.0567518
+0.0577381
+0.0585541
+0.0594304
+0.0603735
+0.0613803
+0.0624362
+0.0635469
+0.0647127
+0.0659307
+0.0737003
+0.0724816
+0.0713093
+0.070163
+0.0689879
+0.0676996
+0.0655355
+0.0633732
+0.0612129
+0.0590549
+0.0568994
+0.0547466
+0.052597
+0.0504509
+0.0483088
+0.0461713
+0.0440372
+0.0419039
+0.0397769
+0.0376572
+0.0355461
+0.0334452
+0.0313566
+0.029283
+0.0272276
+0.0251952
+0.0231448
+0.020992
+0.0188479
+0.0167158
+0.0146012
+0.0125127
+0.010466
+0.00848992
+0.00661192
+0.00488736
+0.00347777
+0.00277483
+0.00309642
+0.00333073
+0.00337065
+0.0034139
+0.00365009
+0.00450933
+0.00572964
+0.00712991
+0.00850144
+0.00990017
+0.0114791
+0.0131617
+0.0149387
+0.0167993
+0.0187248
+0.0206973
+0.0227098
+0.0247392
+0.026661
+0.0286215
+0.0306032
+0.0326077
+0.0346348
+0.0366807
+0.0387425
+0.0408176
+0.0429043
+0.0450009
+0.047106
+0.0481448
+0.0476104
+0.0471718
+0.0468317
+0.0465922
+0.0464282
+0.0463539
+0.0463831
+0.0465155
+0.0467503
+0.047086
+0.0475204
+0.0479015
+0.0483154
+0.0488055
+0.0493227
+0.0499213
+0.0506076
+0.0513783
+0.0522288
+0.0530061
+0.0537678
+0.0546069
+0.0555189
+0.0564611
+0.0572857
+0.0581811
+0.0591389
+0.060151
+0.0612248
+0.0623571
+0.0635351
+0.0646857
+0.0723147
+0.0710722
+0.0698764
+0.0687295
+0.0675871
+0.0664333
+0.0653174
+0.0632416
+0.0610766
+0.0589136
+0.0567527
+0.0545942
+0.0524383
+0.0502855
+0.048136
+0.0459905
+0.0438494
+0.0417092
+0.0395742
+0.0374456
+0.0353245
+0.0332126
+0.0311115
+0.0290236
+0.026952
+0.0248992
+0.02287
+0.020873
+0.0188589
+0.0167523
+0.0146659
+0.0125882
+0.0105562
+0.00856944
+0.00665641
+0.00484272
+0.00317578
+0.00206797
+0.00130132
+0.00120715
+0.00126753
+0.00133697
+0.00177634
+0.0028174
+0.0041503
+0.00549414
+0.00680637
+0.00839463
+0.0101077
+0.0119244
+0.0138371
+0.0158123
+0.0178379
+0.0198725
+0.0217858
+0.0237445
+0.0257264
+0.0277373
+0.0297736
+0.0318305
+0.0339041
+0.0359915
+0.0380906
+0.0401994
+0.0423166
+0.0444409
+0.0465713
+0.0470957
+0.0465907
+0.0461843
+0.0458449
+0.0456002
+0.0454451
+0.0453897
+0.0454329
+0.0455681
+0.0458078
+0.0460686
+0.0463339
+0.046659
+0.0470838
+0.0475817
+0.0481063
+0.0487196
+0.0494225
+0.0502112
+0.0510148
+0.0517136
+0.0524946
+0.0533344
+0.054235
+0.0551944
+0.0560597
+0.0569669
+0.0579341
+0.0589668
+0.0600521
+0.0611456
+0.0622661
+0.0634412
+0.0708619
+0.0696867
+0.0684835
+0.067313
+0.0661942
+0.0650494
+0.063925
+0.0628388
+0.0610044
+0.0588386
+0.0566747
+0.0545129
+0.0523535
+0.0501968
+0.0480433
+0.0458932
+0.0437471
+0.0416057
+0.0394692
+0.0373384
+0.0352129
+0.0330864
+0.0309505
+0.0288228
+0.0267053
+0.0246006
+0.0225123
+0.0204454
+0.0184071
+0.0164082
+0.0144446
+0.0124666
+0.0105716
+0.00864655
+0.00680245
+0.00483084
+0.00284638
+0.000948592
+-0.000490216
+-0.000523533
+-0.000208474
+0.000112316
+0.000546134
+0.00142006
+0.00245394
+0.00371973
+0.00531775
+0.00706691
+0.00895983
+0.0109395
+0.0129788
+0.0150053
+0.0169239
+0.0188787
+0.0208598
+0.0228789
+0.0249271
+0.0269976
+0.0290858
+0.031188
+0.0333016
+0.0354246
+0.0375554
+0.0396927
+0.0418355
+0.043983
+0.0461345
+0.046108
+0.0456082
+0.0451893
+0.0448548
+0.0446255
+0.044503
+0.044464
+0.0445153
+0.0446124
+0.0446884
+0.0448533
+0.0451241
+0.045474
+0.0459098
+0.0464002
+0.0469382
+0.0475666
+0.0482863
+0.0490933
+0.0497471
+0.0504372
+0.0512014
+0.0520467
+0.05296
+0.0539388
+0.0548839
+0.0557986
+0.0567625
+0.0577827
+0.0588149
+0.0599032
+0.0610342
+0.0622206
+0.0694088
+0.0682407
+0.0670895
+0.0659387
+0.0647963
+0.0636992
+0.0625505
+0.0614586
+0.0603014
+0.0585597
+0.0563851
+0.0542117
+0.0520399
+0.0498696
+0.0477013
+0.0455351
+0.0433713
+0.0412103
+0.0390522
+0.0368974
+0.0347465
+0.0326008
+0.0304616
+0.0283302
+0.0262078
+0.0240893
+0.0219848
+0.019899
+0.0178303
+0.0157847
+0.0137814
+0.0117563
+0.00980274
+0.00789967
+0.00598069
+0.00406446
+0.002048
+0.000214223
+-0.00077018
+-0.000860801
+-0.000737113
+-0.000598859
+-0.000312491
+-8.92062e-05
+0.000691866
+0.00228384
+0.00409535
+0.00610783
+0.00811651
+0.0101681
+0.0120917
+0.0140315
+0.0160126
+0.0180423
+0.0201058
+0.0221936
+0.0242996
+0.0264194
+0.0285499
+0.0306888
+0.0328346
+0.0349846
+0.0371363
+0.0392921
+0.0414475
+0.0436053
+0.0456596
+0.0450885
+0.0446152
+0.0442099
+0.0439103
+0.0436765
+0.0435514
+0.0434668
+0.0434042
+0.0433897
+0.0434492
+0.0436188
+0.0438972
+0.0442824
+0.0447498
+0.0452774
+0.0458359
+0.0464797
+0.0472165
+0.0478671
+0.0484741
+0.0491713
+0.0499549
+0.0508164
+0.051743
+0.0527443
+0.0537179
+0.0546004
+0.0555334
+0.0565207
+0.0575658
+0.0586741
+0.059835
+0.0610306
+0.0679789
+0.0668271
+0.0656612
+0.0645353
+0.0634432
+0.062332
+0.0612072
+0.0600438
+0.0588608
+0.0577241
+0.0561795
+0.0539979
+0.051817
+0.0496371
+0.0474581
+0.0452802
+0.0431037
+0.0409286
+0.0387548
+0.0365824
+0.0344118
+0.0322439
+0.0300793
+0.0279188
+0.0257633
+0.0236144
+0.0214738
+0.0193445
+0.0172306
+0.0151246
+0.0130456
+0.0109995
+0.00900102
+0.00698725
+0.0050893
+0.00322417
+0.00150924
+-1.49306e-05
+-0.000827762
+-0.00229302
+-0.00218466
+-0.00217491
+-0.000975424
+-0.000233897
+-0.000421343
+0.00136664
+0.00335089
+0.00544197
+0.00734776
+0.00923826
+0.0112103
+0.0132511
+0.0153334
+0.0174423
+0.0195691
+0.0217084
+0.0238525
+0.0260022
+0.0281583
+0.0303188
+0.0324771
+0.0346395
+0.0368053
+0.0389739
+0.0411448
+0.0433176
+0.0447249
+0.0441425
+0.0436615
+0.0432287
+0.0428577
+0.04259
+0.0423269
+0.0421574
+0.0421005
+0.0421251
+0.0421867
+0.0423617
+0.0426486
+0.0430452
+0.0435486
+0.0440857
+0.0446884
+0.0453889
+0.0460962
+0.0466234
+0.0472464
+0.0479614
+0.0487645
+0.0496434
+0.0505915
+0.0516152
+0.0524485
+0.053338
+0.0542969
+0.0552969
+0.0563644
+0.0574709
+0.0586309
+0.0598458
+0.0665818
+0.0654151
+0.0642739
+0.0631283
+0.0620307
+0.0609853
+0.059885
+0.0586471
+0.0574353
+0.056277
+0.0551759
+0.0538617
+0.0516754
+0.0494896
+0.0473042
+0.0451193
+0.042935
+0.0407514
+0.0385686
+0.0363867
+0.034206
+0.0320266
+0.0298489
+0.0276731
+0.0254986
+0.0233258
+0.0211561
+0.0189912
+0.016833
+0.0146844
+0.0125504
+0.0104399
+0.00837067
+0.00635499
+0.00442916
+0.00261176
+0.000968683
+-0.000141711
+-0.00111843
+-0.00276841
+-0.00259292
+-0.00145332
+-0.000561965
+0.000188373
+0.000519494
+0.00151883
+0.00303478
+0.0046673
+0.00655187
+0.00858216
+0.0106719
+0.0127865
+0.0149224
+0.0170722
+0.0192266
+0.0213854
+0.02355
+0.0257191
+0.0278906
+0.0300637
+0.0322391
+0.0344165
+0.0365955
+0.0387757
+0.0409571
+0.0430794
+0.0438377
+0.0431394
+0.0425425
+0.0420515
+0.041658
+0.0413439
+0.0410963
+0.0409218
+0.0408624
+0.0408772
+0.0409519
+0.0411321
+0.0414276
+0.0418358
+0.0423535
+0.0429488
+0.0435673
+0.0442855
+0.0449069
+0.0454479
+0.0460868
+0.0468196
+0.0476419
+0.0485338
+0.049503
+0.050379
+0.0512112
+0.0521155
+0.0530666
+0.0540859
+0.0551584
+0.056283
+0.0574592
+0.0586752
+0.0651282
+0.0640261
+0.0628994
+0.0617618
+0.0606478
+0.0595819
+0.0585748
+0.0573001
+0.0560592
+0.0548719
+0.053742
+0.0526789
+0.0516193
+0.0494309
+0.0472428
+0.0450549
+0.0428674
+0.0406801
+0.0384932
+0.0363069
+0.034121
+0.0319358
+0.0297515
+0.0275681
+0.025386
+0.0232055
+0.0210272
+0.0188517
+0.0166801
+0.0145144
+0.0123574
+0.0102148
+0.00809793
+0.00603364
+0.0040459
+0.00230216
+0.000698975
+-0.00031565
+-0.00183774
+-0.00203942
+-0.00230755
+-0.00107421
+-1.52231e-05
+0.000839139
+0.00166366
+0.00181327
+0.00265955
+0.00432431
+0.00627613
+0.008335
+0.0104476
+0.012587
+0.0147414
+0.0169051
+0.0190751
+0.0212492
+0.0234265
+0.025606
+0.0277863
+0.029967
+0.032149
+0.034228
+0.0362077
+0.0382104
+0.0402314
+0.0422433
+0.0427139
+0.0420174
+0.0414017
+0.0408739
+0.0404375
+0.0401136
+0.0398819
+0.0397254
+0.0396611
+0.039629
+0.0397179
+0.0399269
+0.0402543
+0.0406971
+0.0412403
+0.0417971
+0.0424358
+0.0431651
+0.043795
+0.0443496
+0.045004
+0.0457542
+0.0465792
+0.0474873
+0.0483854
+0.0491755
+0.0500096
+0.0509138
+0.0518808
+0.0529073
+0.0539935
+0.0551228
+0.0563141
+0.0575522
+0.0636147
+0.0625262
+0.0614796
+0.0603895
+0.0593051
+0.0582263
+0.0571962
+0.0560064
+0.0547362
+0.0535196
+0.0523605
+0.0512688
+0.050249
+0.0493055
+0.0472829
+0.045097
+0.0429116
+0.0407267
+0.0385425
+0.0363591
+0.0341766
+0.0319952
+0.0298152
+0.0276368
+0.0254606
+0.0232871
+0.0211172
+0.0189485
+0.0167809
+0.0146157
+0.0124474
+0.0102887
+0.00814696
+0.00604048
+0.00402492
+0.0022087
+0.000528881
+-0.000842145
+-0.000887002
+-0.000844928
+-0.00140736
+-0.000932222
+9.46853e-05
+0.00143247
+0.00206957
+0.00198811
+0.00290827
+0.00459944
+0.00654036
+0.00855953
+0.0106276
+0.0127368
+0.0148695
+0.017017
+0.0191742
+0.0213383
+0.0235073
+0.0255038
+0.0274134
+0.0293622
+0.031343
+0.0333501
+0.0353725
+0.0374031
+0.0393631
+0.0413225
+0.0415764
+0.0409175
+0.0402619
+0.0397161
+0.039285
+0.0389638
+0.0387145
+0.0385532
+0.0384957
+0.0384652
+0.0385568
+0.0387721
+0.0391091
+0.0395647
+0.0401349
+0.0407166
+0.0413734
+0.0421084
+0.0427665
+0.0433342
+0.0440038
+0.044754
+0.0455932
+0.0464418
+0.0471992
+0.0480102
+0.0488575
+0.0497709
+0.0507303
+0.0517623
+0.0528431
+0.0539612
+0.0551363
+0.0563635
+0.0621416
+0.0610268
+0.0599714
+0.0589483
+0.0578958
+0.0568991
+0.0558694
+0.0547655
+0.0534658
+0.0522242
+0.0510356
+0.049915
+0.0488669
+0.0478962
+0.0470076
+0.0452411
+0.0430596
+0.0408791
+0.0386997
+0.0365217
+0.0343454
+0.0321646
+0.029985
+0.027807
+0.0256312
+0.0234582
+0.0212888
+0.0191243
+0.0169665
+0.0148184
+0.0126848
+0.0105746
+0.00850519
+0.00632772
+0.00413756
+0.00194861
+-0.000223732
+-1.11529e-05
+0.000251004
+0.000107029
+-0.000588495
+-0.00166203
+-0.000781316
+0.000421563
+0.0017158
+0.00245975
+0.00346969
+0.00513153
+0.00701883
+0.00901004
+0.0110707
+0.0131735
+0.0150967
+0.0168888
+0.0187507
+0.020663
+0.0225669
+0.0245095
+0.0264908
+0.0285011
+0.0305259
+0.0325719
+0.0345241
+0.0364802
+0.0384617
+0.0404648
+0.0401996
+0.0396008
+0.0390381
+0.0385655
+0.0381234
+0.0377786
+0.0375353
+0.0373866
+0.0372552
+0.0372459
+0.0373654
+0.0376122
+0.0379766
+0.0383974
+0.038937
+0.0395811
+0.040328
+0.0411174
+0.0418256
+0.0424059
+0.0430744
+0.0438364
+0.0446276
+0.0453081
+0.046035
+0.046816
+0.0476527
+0.0485443
+0.0495073
+0.0505443
+0.0516396
+0.0527825
+0.0539833
+0.0552362
+0.0607008
+0.059559
+0.058477
+0.0574582
+0.0564555
+0.0554575
+0.0545104
+0.0535786
+0.0522494
+0.0509797
+0.049772
+0.0486223
+0.0475457
+0.0465474
+0.0456326
+0.0447887
+0.04326
+0.041085
+0.0389116
+0.0367404
+0.0345715
+0.0324057
+0.0302434
+0.0280855
+0.025933
+0.0237876
+0.0216513
+0.019527
+0.0174082
+0.0152359
+0.0130698
+0.0109135
+0.00877422
+0.00661674
+0.00446356
+0.0023032
+0.000162059
+0.000160453
+0.00103761
+0.00140887
+-9.80927e-05
+-0.0012009
+-0.00209914
+-0.000879956
+0.000563517
+0.00199255
+0.00349556
+0.00511103
+0.00688444
+0.00871289
+0.0103693
+0.0120684
+0.0138999
+0.0157922
+0.0177489
+0.0196794
+0.0216594
+0.0236673
+0.0256991
+0.0277551
+0.0297046
+0.0316554
+0.0336357
+0.0356407
+0.0376664
+0.0395756
+0.0388783
+0.0382783
+0.0377241
+0.037227
+0.0367503
+0.0363937
+0.0361664
+0.0360455
+0.0359977
+0.0359882
+0.0361117
+0.0363671
+0.0367219
+0.037157
+0.0377145
+0.0383891
+0.0391734
+0.0400289
+0.0408921
+0.0415521
+0.0422341
+0.0428946
+0.0434715
+0.0441361
+0.0448089
+0.0455772
+0.0464362
+0.0473468
+0.0483331
+0.049381
+0.0504869
+0.0516509
+0.0528801
+0.05417
+0.0592824
+0.0581322
+0.0570231
+0.0559645
+0.0549525
+0.0539891
+0.0530423
+0.0521433
+0.051098
+0.0497989
+0.048564
+0.0473944
+0.0462845
+0.0452535
+0.0443053
+0.0434468
+0.0426631
+0.04139
+0.0392336
+0.0370812
+0.0349335
+0.0327916
+0.0306565
+0.0285299
+0.026395
+0.0242362
+0.0220836
+0.0199384
+0.0177847
+0.0156211
+0.0134661
+0.0113249
+0.00920709
+0.00709482
+0.00496146
+0.00291316
+0.00109864
+0.000888462
+0.00168729
+0.00217007
+0.000286609
+-0.00100096
+-0.00240537
+-0.00208884
+-0.000959558
+0.000492766
+0.00208214
+0.00399325
+0.00566983
+0.00735203
+0.00908724
+0.0109463
+0.0128996
+0.0148941
+0.0168643
+0.0188664
+0.0209057
+0.0229729
+0.024916
+0.0268572
+0.0288342
+0.0308401
+0.0328696
+0.0349127
+0.0368982
+0.038294
+0.0375806
+0.036971
+0.0363498
+0.0358437
+0.035452
+0.0350822
+0.0348464
+0.0347474
+0.0347608
+0.0348229
+0.0349506
+0.0352143
+0.0355537
+0.0360029
+0.036578
+0.0372732
+0.0380819
+0.0388864
+0.0397402
+0.0406942
+0.0412959
+0.0417802
+0.0423148
+0.0429317
+0.0436141
+0.0443758
+0.0452307
+0.0461597
+0.0471714
+0.0482241
+0.0493443
+0.0505258
+0.0517697
+0.0530598
+0.0578397
+0.0566731
+0.0555684
+0.0544978
+0.053458
+0.0524891
+0.0515909
+0.0506877
+0.0498425
+0.0486881
+0.0474243
+0.0462192
+0.0450804
+0.044021
+0.0430455
+0.0421614
+0.0413697
+0.0406627
+0.0396741
+0.037547
+0.0354051
+0.0332539
+0.0311064
+0.0289458
+0.0267879
+0.0246357
+0.022491
+0.0203561
+0.0182344
+0.0161192
+0.0139898
+0.0118827
+0.00981235
+0.00780599
+0.00586538
+0.0041687
+0.00295162
+0.00230064
+0.00184756
+0.00212784
+0.00112491
+-0.000438957
+-0.00196092
+-0.00292974
+-0.00227344
+-0.000791507
+0.00107514
+0.00272352
+0.00443923
+0.00618364
+0.00810059
+0.0101292
+0.0121224
+0.0141312
+0.0161754
+0.0181799
+0.0201611
+0.0220967
+0.0240718
+0.026076
+0.028108
+0.0301622
+0.032174
+0.0341799
+0.0362059
+0.0370478
+0.0362683
+0.0355813
+0.0350141
+0.0345222
+0.0341396
+0.0338408
+0.0335963
+0.0334936
+0.0335322
+0.0336403
+0.0338046
+0.0341045
+0.0344853
+0.0349482
+0.0355404
+0.0361847
+0.0369418
+0.03779
+0.038668
+0.0396477
+0.0401709
+0.0406107
+0.0411396
+0.0417168
+0.0423995
+0.0431826
+0.0440498
+0.0450024
+0.0460395
+0.0471056
+0.0482389
+0.0494433
+0.0507109
+0.0519563
+0.0564452
+0.0552491
+0.0541154
+0.0530479
+0.0520129
+0.0510166
+0.0500963
+0.0492449
+0.0483977
+0.0475607
+0.0463574
+0.0451141
+0.0439449
+0.0428558
+0.0418532
+0.0409433
+0.0401325
+0.0394177
+0.0387989
+0.0379568
+0.0358058
+0.0336599
+0.0315202
+0.029388
+0.0272651
+0.0251493
+0.0230213
+0.0209063
+0.0188086
+0.0167348
+0.0146949
+0.0127026
+0.010751
+0.00890858
+0.00726222
+0.00590161
+0.00482902
+0.00364018
+0.00304669
+0.00276855
+0.00236293
+0.000375988
+-0.00131759
+-0.00308888
+-0.00345269
+-0.00156594
+0.000322015
+0.00186595
+0.00355417
+0.00553308
+0.0075476
+0.00949051
+0.0114185
+0.0134067
+0.0154324
+0.0173931
+0.0193575
+0.0213661
+0.0234029
+0.0254598
+0.0275087
+0.0295064
+0.0315298
+0.0335741
+0.0356347
+0.0356999
+0.0349137
+0.0342355
+0.0336459
+0.0331906
+0.0328331
+0.0326047
+0.0323934
+0.032281
+0.0322367
+0.0323247
+0.0325381
+0.0328699
+0.033211
+0.0336913
+0.0343051
+0.0350453
+0.035894
+0.036768
+0.0376927
+0.0386491
+0.0390433
+0.0394824
+0.0399699
+0.0405637
+0.0412655
+0.0420625
+0.0429474
+0.0439162
+0.0449528
+0.0460341
+0.0471832
+0.0483732
+0.0495811
+0.0508513
+0.0551017
+0.053876
+0.0527127
+0.0516162
+0.0505909
+0.0495971
+0.0486499
+0.0477641
+0.0469424
+0.0461617
+0.0450737
+0.0440265
+0.0428771
+0.0417602
+0.0407306
+0.0397951
+0.0389604
+0.0382331
+0.0376099
+0.0370905
+0.0362966
+0.0341807
+0.0320534
+0.0299352
+0.0278283
+0.0257354
+0.0236602
+0.0216078
+0.0195854
+0.0175999
+0.0156447
+0.01376
+0.01198
+0.0103585
+0.00894739
+0.00777194
+0.00639276
+0.00536588
+0.00461842
+0.00434976
+0.00331047
+0.00148082
+-0.00063388
+-0.00195386
+-0.00288523
+-0.00185059
+-0.000351323
+0.00109085
+0.00302721
+0.00500849
+0.00679555
+0.00874053
+0.0107777
+0.0128361
+0.0147569
+0.016744
+0.0187765
+0.0208411
+0.0229247
+0.0249196
+0.0269312
+0.0289688
+0.0310272
+0.0331026
+0.0350282
+0.0344309
+0.0336151
+0.0329237
+0.0323395
+0.03188
+0.0315516
+0.0313585
+0.0311686
+0.0310371
+0.030991
+0.0310971
+0.031329
+0.0316406
+0.0320051
+0.0325033
+0.033139
+0.0339047
+0.0347917
+0.0357456
+0.0366885
+0.0375623
+0.0379803
+0.0383614
+0.0388624
+0.0394754
+0.0401789
+0.0409875
+0.0418897
+0.0428685
+0.0439193
+0.0450159
+0.046121
+0.0472844
+0.0485158
+0.0498131
+0.0538102
+0.0525544
+0.0513612
+0.0502352
+0.0491811
+0.0481944
+0.0472194
+0.0463083
+0.0454776
+0.0447357
+0.0437466
+0.0426668
+0.0416743
+0.040753
+0.0396973
+0.0387368
+0.0378788
+0.0371303
+0.0364982
+0.0359781
+0.0355704
+0.0347526
+0.0326625
+0.0305866
+0.0285279
+0.0264903
+0.0244791
+0.0224973
+0.0205407
+0.0186361
+0.0168015
+0.0150623
+0.0134556
+0.0120189
+0.0107687
+0.00932606
+0.00813064
+0.00724417
+0.00652606
+0.00622876
+0.00415301
+0.00221878
+0.000603886
+-0.00062185
+-0.00179377
+-0.00186496
+-0.000407074
+0.00138651
+0.00293939
+0.00451882
+0.00641072
+0.00844158
+0.010431
+0.0123372
+0.014325
+0.0163647
+0.0184391
+0.0204778
+0.0224598
+0.0244775
+0.0265226
+0.0285893
+0.0306732
+0.032108
+0.0330803
+0.0332479
+0.0324038
+0.0316866
+0.0310802
+0.030617
+0.0303055
+0.0300972
+0.029919
+0.0298748
+0.0298276
+0.0298903
+0.0300699
+0.0304066
+0.030866
+0.0313821
+0.03204
+0.0328312
+0.0337462
+0.0347334
+0.0356756
+0.0363117
+0.0369066
+0.0373123
+0.0378236
+0.0384326
+0.0391548
+0.0399644
+0.0408515
+0.041824
+0.0428731
+0.0439354
+0.0450494
+0.0462404
+0.0475026
+0.0488214
+0.0525784
+0.0512924
+0.0500691
+0.0489134
+0.0478301
+0.0468184
+0.0458141
+0.0448943
+0.044046
+0.0432893
+0.0424351
+0.0413481
+0.0403378
+0.0394086
+0.0385816
+0.037776
+0.0368957
+0.0361269
+0.0354769
+0.0349433
+0.0344942
+0.0337336
+0.033027
+0.0313777
+0.0293745
+0.0273949
+0.0254377
+0.0235216
+0.0216576
+0.0198605
+0.01815
+0.0165531
+0.0151012
+0.0137826
+0.0123402
+0.0110565
+0.0100103
+0.00916822
+0.00854833
+0.00711938
+0.00525749
+0.00354243
+0.0022096
+0.00107866
+-0.000456482
+-0.00113782
+2.2945e-05
+0.00118567
+0.00316162
+0.00494363
+0.00659778
+0.00834064
+0.0102135
+0.0121707
+0.0141752
+0.0162279
+0.0182078
+0.0201766
+0.0221855
+0.024226
+0.0262907
+0.0283743
+0.0292204
+0.0301424
+0.0311647
+0.0321235
+0.0312844
+0.0305412
+0.0299285
+0.0294473
+0.0291232
+0.0288759
+0.0287287
+0.0286553
+0.0286199
+0.0286713
+0.028886
+0.0292364
+0.0297444
+0.0303655
+0.0310451
+0.0318611
+0.0327734
+0.0336719
+0.0343776
+0.0350377
+0.0357848
+0.0362523
+0.0368073
+0.0374419
+0.0381147
+0.0388995
+0.0397888
+0.0407726
+0.0418399
+0.0428965
+0.0440367
+0.0452543
+0.0464142
+0.0476149
+0.0514103
+0.0500944
+0.0488411
+0.0476556
+0.0465431
+0.0455063
+0.0444725
+0.0435243
+0.0426663
+0.0418851
+0.0410469
+0.0400103
+0.0390354
+0.0380987
+0.0372547
+0.0365083
+0.0358564
+0.0352313
+0.0345645
+0.0338988
+0.0333264
+0.0325888
+0.0318574
+0.0312627
+0.0303351
+0.0284115
+0.0265293
+0.0246981
+0.0229299
+0.0212407
+0.0196507
+0.0181861
+0.0168271
+0.0153877
+0.014041
+0.0128938
+0.0119614
+0.0111605
+0.0101114
+0.00828467
+0.00661021
+0.00517322
+0.00385303
+0.00230812
+0.000781081
+0.000775467
+0.00057359
+0.00188576
+0.00336253
+0.00503666
+0.00678114
+0.00862244
+0.0104449
+0.0123655
+0.0142621
+0.0161374
+0.0180837
+0.0200804
+0.0221139
+0.0241714
+0.0256946
+0.0263807
+0.0272263
+0.0281974
+0.0292876
+0.0304964
+0.0301743
+0.0294691
+0.0288581
+0.0283261
+0.027943
+0.0276749
+0.0275077
+0.0273823
+0.0274317
+0.0275086
+0.027737
+0.0281144
+0.028638
+0.0292886
+0.0300226
+0.0308356
+0.031637
+0.0325664
+0.0331717
+0.0338403
+0.0346133
+0.0352075
+0.0357655
+0.0363679
+0.0370551
+0.0378569
+0.038766
+0.0397751
+0.0408652
+0.0419463
+0.0429841
+0.0440475
+0.0451227
+0.0462767
+0.0502946
+0.0489652
+0.0476822
+0.0464672
+0.0453255
+0.0442628
+0.0432002
+0.0422236
+0.04134
+0.0405506
+0.0397311
+0.0386592
+0.0376843
+0.0368142
+0.03597
+0.0352144
+0.0345652
+0.034031
+0.0332975
+0.0325955
+0.0320283
+0.031419
+0.03069
+0.0300746
+0.0295717
+0.0291679
+0.0277513
+0.0260062
+0.0243333
+0.0227485
+0.0212716
+0.0198882
+0.0184516
+0.017066
+0.0158555
+0.014818
+0.0139496
+0.0131342
+0.0113439
+0.00969536
+0.00821085
+0.00681771
+0.00539577
+0.00369338
+0.00261939
+0.00202738
+0.00231947
+0.00240615
+0.00348376
+0.00523252
+0.00718777
+0.00919025
+0.0110806
+0.0126923
+0.0144396
+0.0162944
+0.018224
+0.0202068
+0.0222288
+0.0230459
+0.0236061
+0.0243512
+0.0252615
+0.0262911
+0.027457
+0.0287429
+0.0290114
+0.0283449
+0.0277041
+0.0271916
+0.0267938
+0.0265129
+0.0263447
+0.0262136
+0.0262103
+0.026268
+0.0265071
+0.0268909
+0.0274424
+0.028154
+0.0289427
+0.0297241
+0.0305548
+0.0314814
+0.0320703
+0.0327458
+0.033544
+0.0341377
+0.034673
+0.0352874
+0.0359953
+0.0368201
+0.0377542
+0.0387896
+0.0398164
+0.0406721
+0.0416041
+0.0426284
+0.0437385
+0.0449281
+0.0492109
+0.0478973
+0.0465975
+0.0453534
+0.044183
+0.0430922
+0.0420037
+0.0409987
+0.0400881
+0.0392536
+0.0382337
+0.0373147
+0.0363788
+0.0354766
+0.0346784
+0.0339868
+0.0333325
+0.0327925
+0.0320595
+0.0313699
+0.0307694
+0.0301994
+0.0295785
+0.0289691
+0.0283872
+0.0279307
+0.0276408
+0.0274272
+0.0258464
+0.0243603
+0.0229592
+0.0215237
+0.0201133
+0.0188498
+0.0177305
+0.0167828
+0.0159328
+0.0144191
+0.0127853
+0.0112814
+0.00986471
+0.00843113
+0.00671774
+0.0053631
+0.00433868
+0.00383539
+0.00376052
+0.00359192
+0.00449247
+0.00604219
+0.00783268
+0.00952628
+0.0113404
+0.0132073
+0.0149266
+0.0167392
+0.0186227
+0.0203538
+0.0205235
+0.0209225
+0.0215379
+0.022352
+0.0233211
+0.0244324
+0.0256829
+0.026834
+0.0273852
+0.0271669
+0.0266095
+0.0260753
+0.0256282
+0.0252983
+0.025078
+0.0249403
+0.0249857
+0.0250461
+0.0252968
+0.0257145
+0.02629
+0.0270269
+0.0277544
+0.0286316
+0.0295314
+0.0304619
+0.0310701
+0.0317649
+0.0325872
+0.0330484
+0.033601
+0.034285
+0.0350132
+0.0358606
+0.036819
+0.037616
+0.0383893
+0.0392533
+0.0402182
+0.0412769
+0.0424224
+0.0436394
+0.0482025
+0.0469004
+0.0455802
+0.044319
+0.0431203
+0.0420017
+0.0408858
+0.0398566
+0.0389194
+0.0378341
+0.0367749
+0.0358184
+0.0349666
+0.0342174
+0.0333899
+0.0326711
+0.032086
+0.0315375
+0.0307303
+0.0300423
+0.0294368
+0.028969
+0.0285122
+0.0279035
+0.0272625
+0.0267857
+0.0264823
+0.0263579
+0.0264154
+0.0260367
+0.0246023
+0.023174
+0.021868
+0.0206957
+0.0196702
+0.0187699
+0.0175018
+0.015878
+0.0143638
+0.012936
+0.0114217
+0.00977544
+0.00834241
+0.00708802
+0.00612749
+0.00578238
+0.00539609
+0.0053426
+0.00602319
+0.00724108
+0.00846764
+0.0100094
+0.0117492
+0.0136197
+0.015574
+0.017413
+0.018253
+0.01818
+0.0183698
+0.0188144
+0.0194965
+0.0203847
+0.0214245
+0.0226292
+0.0239739
+0.0247074
+0.0253049
+0.0260624
+0.0254715
+0.0249643
+0.0245207
+0.0241757
+0.0239298
+0.0237855
+0.0237705
+0.023834
+0.0240973
+0.024554
+0.0251641
+0.0258693
+0.0266287
+0.0275419
+0.0284702
+0.0294821
+0.0301939
+0.0309084
+0.0315857
+0.0320139
+0.0325841
+0.033289
+0.0341063
+0.0349614
+0.0355451
+0.0362278
+0.0370127
+0.037908
+0.0389063
+0.0399997
+0.0411727
+0.042394
+0.0472619
+0.0459863
+0.0446392
+0.0433499
+0.0421235
+0.0409775
+0.039857
+0.0388009
+0.0376162
+0.0364488
+0.0353762
+0.0343819
+0.0335016
+0.032727
+0.0320753
+0.0314531
+0.0308449
+0.0303338
+0.0294885
+0.0287595
+0.0281824
+0.0276855
+0.027335
+0.0269303
+0.0262655
+0.0257703
+0.0254547
+0.0253254
+0.0253851
+0.0255731
+0.0259326
+0.0249058
+0.023694
+0.0225939
+0.0216389
+0.0205892
+0.0189725
+0.0174518
+0.0160087
+0.0144003
+0.0128454
+0.0113773
+0.00999032
+0.00886342
+0.0081158
+0.0078373
+0.00732658
+0.00729058
+0.00764076
+0.0083606
+0.00949912
+0.0109131
+0.0125331
+0.0143015
+0.0161736
+0.0164701
+0.0160936
+0.0160107
+0.0162259
+0.0167276
+0.0174913
+0.0184463
+0.0195892
+0.0208999
+0.0221395
+0.022593
+0.023245
+0.0240287
+0.0242871
+0.0237824
+0.0233492
+0.0230536
+0.0228562
+0.0227178
+0.0226571
+0.0227488
+0.0230245
+0.0234971
+0.0241158
+0.0248008
+0.0255557
+0.0264707
+0.0274956
+0.0285305
+0.0293985
+0.0300953
+0.0306297
+0.0310712
+0.0316585
+0.0323836
+0.0331226
+0.0336177
+0.0342067
+0.0349034
+0.0357174
+0.0366444
+0.0376762
+0.0387776
+0.0399459
+0.0411794
+0.0463865
+0.0451296
+0.0437876
+0.0424712
+0.0412186
+0.0400431
+0.038888
+0.0376466
+0.0363484
+0.0351389
+0.0340275
+0.0330105
+0.0320955
+0.0313073
+0.0306263
+0.0300888
+0.0296569
+0.0291968
+0.0283381
+0.0275912
+0.0269891
+0.0264957
+0.0261282
+0.0258824
+0.0253962
+0.0248838
+0.0245568
+0.0244227
+0.0244847
+0.0246736
+0.0250287
+0.0250226
+0.025137
+0.0245406
+0.0236214
+0.022068
+0.0205428
+0.0190231
+0.0174163
+0.0159263
+0.0143188
+0.0128344
+0.0115764
+0.0106206
+0.0100231
+0.00969945
+0.0093722
+0.00909167
+0.00922834
+0.00983264
+0.0108299
+0.0121167
+0.0136115
+0.0152698
+0.0151179
+0.0143768
+0.0139439
+0.0138482
+0.0140964
+0.0146712
+0.015515
+0.0165708
+0.0178343
+0.0192648
+0.0199937
+0.0204947
+0.021211
+0.0219884
+0.0228907
+0.0226397
+0.0221999
+0.0219454
+0.0217262
+0.0216531
+0.0215563
+0.0216705
+0.0219387
+0.0223979
+0.023036
+0.0237607
+0.0245477
+0.0254992
+0.0265033
+0.0275961
+0.0286869
+0.029407
+0.0296916
+0.0300343
+0.0305161
+0.0311201
+0.0318624
+0.032348
+0.0329508
+0.0336696
+0.0345127
+0.0354515
+0.0364817
+0.0375938
+0.038778
+0.0400429
+0.0455912
+0.0443117
+0.0430307
+0.0416892
+0.0404123
+0.0391901
+0.0379234
+0.0365115
+0.0351714
+0.03392
+0.0327673
+0.031708
+0.0307543
+0.0299308
+0.0292486
+0.028701
+0.0282847
+0.0279938
+0.0272994
+0.0265337
+0.0259059
+0.0254047
+0.025005
+0.0247731
+0.0246158
+0.0241492
+0.0238121
+0.0236737
+0.0237377
+0.0239414
+0.0242218
+0.0241742
+0.0242956
+0.0246091
+0.0250818
+0.0236357
+0.022059
+0.0204568
+0.0189273
+0.0172841
+0.0157745
+0.0144405
+0.0133349
+0.0124989
+0.0118966
+0.0115421
+0.0111457
+0.0108815
+0.0110076
+0.011519
+0.0123962
+0.0135459
+0.0149195
+0.0142906
+0.0131749
+0.0123175
+0.0118094
+0.0116961
+0.011989
+0.0126598
+0.0135882
+0.0147822
+0.016186
+0.0174936
+0.0178587
+0.0184179
+0.0191881
+0.0199799
+0.0209688
+0.0216401
+0.0211866
+0.0209199
+0.0207401
+0.0206483
+0.020566
+0.0206659
+0.0209676
+0.0214476
+0.0221148
+0.0228204
+0.0236575
+0.0245112
+0.0255066
+0.0266453
+0.0278635
+0.0281871
+0.028433
+0.0288202
+0.0292943
+0.0299217
+0.030688
+0.0311807
+0.0317923
+0.0325144
+0.0333561
+0.0343116
+0.0353563
+0.0364817
+0.0376965
+0.0389966
+0.0448887
+0.0435886
+0.042362
+0.0410094
+0.0397107
+0.0384094
+0.0369003
+0.0354601
+0.0340774
+0.0327826
+0.0315867
+0.0305015
+0.0295138
+0.0286547
+0.0279413
+0.0273851
+0.0269923
+0.0267075
+0.02633
+0.0255688
+0.024938
+0.0243893
+0.0239906
+0.0237538
+0.0237128
+0.0235889
+0.0232437
+0.023102
+0.0231675
+0.0233921
+0.023537
+0.0234636
+0.0235942
+0.0239114
+0.0243977
+0.0250172
+0.023502
+0.021926
+0.0202891
+0.0187655
+0.017385
+0.0161843
+0.0152046
+0.0143687
+0.013788
+0.0134834
+0.013022
+0.0127966
+0.0129083
+0.013347
+0.0141159
+0.0151482
+0.0140323
+0.0125582
+0.0113185
+0.0103125
+0.00969983
+0.00956164
+0.00991773
+0.0106718
+0.0117542
+0.0131162
+0.0146802
+0.0153313
+0.015739
+0.0163677
+0.017135
+0.0180139
+0.0191048
+0.0203588
+0.0203466
+0.0200237
+0.0198546
+0.0197177
+0.0197259
+0.019823
+0.0201388
+0.0206744
+0.0212288
+0.0219303
+0.0227434
+0.0236105
+0.0246423
+0.0258192
+0.026956
+0.0270362
+0.0272925
+0.0276794
+0.0281727
+0.0288239
+0.0296031
+0.0300925
+0.0306887
+0.0314267
+0.0322697
+0.0332342
+0.034297
+0.0354515
+0.0367005
+0.0380348
+0.0442836
+0.0429652
+0.0417202
+0.040408
+0.0388512
+0.037358
+0.0359364
+0.0344801
+0.0330805
+0.031745
+0.0305085
+0.0293836
+0.0283833
+0.0274896
+0.0267451
+0.0261634
+0.0257555
+0.0255236
+0.0254118
+0.0247452
+0.0240835
+0.0235156
+0.0231211
+0.0228915
+0.022849
+0.0230098
+0.0228383
+0.022694
+0.0227607
+0.023011
+0.023016
+0.0229409
+0.023074
+0.0233772
+0.0238742
+0.0244817
+0.0249489
+0.0233185
+0.0217864
+0.0203751
+0.0191113
+0.0180259
+0.0170253
+0.0162546
+0.0157519
+0.0153724
+0.0149839
+0.0147884
+0.0148889
+0.0152708
+0.0150035
+0.0143453
+0.0126487
+0.0109905
+0.00954952
+0.00840064
+0.00763615
+0.00745982
+0.00789489
+0.00877532
+0.0100639
+0.0116256
+0.0129338
+0.0131785
+0.0136418
+0.0143061
+0.0151166
+0.0161061
+0.017307
+0.0186796
+0.0196472
+0.0193129
+0.0191261
+0.0189552
+0.019018
+0.0191045
+0.0194215
+0.0198455
+0.0203894
+0.0211188
+0.0219728
+0.022869
+0.0239329
+0.0250937
+0.0259359
+0.0260192
+0.0262854
+0.0266626
+0.0271744
+0.027839
+0.028607
+0.0290689
+0.0296738
+0.0304059
+0.0312745
+0.0322532
+0.0333345
+0.0345212
+0.0358027
+0.0371692
+0.0437799
+0.0424458
+0.0410444
+0.0394051
+0.0378124
+0.0362765
+0.0348108
+0.0334244
+0.0321122
+0.0308024
+0.0295288
+0.0283661
+0.0273297
+0.0264115
+0.0256386
+0.0250312
+0.0246045
+0.0243446
+0.0242657
+0.0239814
+0.0233796
+0.0227984
+0.0224128
+0.0221959
+0.022152
+0.022324
+0.0226385
+0.0224929
+0.0225602
+0.0228127
+0.0226954
+0.0226187
+0.0227176
+0.0230213
+0.0235144
+0.0239351
+0.0242812
+0.0241026
+0.0233934
+0.022085
+0.0209119
+0.0198106
+0.0189001
+0.0182089
+0.0177627
+0.0173051
+0.0170015
+0.0167599
+0.015315
+0.0140642
+0.0130634
+0.0123097
+0.0114853
+0.00966505
+0.0079884
+0.00661827
+0.00563448
+0.00539311
+0.00592007
+0.00705155
+0.00858283
+0.0100272
+0.0107473
+0.0110406
+0.0115403
+0.0122891
+0.0131534
+0.014275
+0.0156069
+0.0171165
+0.0187437
+0.0188014
+0.0185898
+0.018414
+0.0184535
+0.0185066
+0.0186961
+0.0190753
+0.0196099
+0.0203305
+0.0211051
+0.0220367
+0.0231368
+0.02431
+0.0250514
+0.0251522
+0.0254253
+0.0257813
+0.0263103
+0.0269962
+0.027687
+0.0281516
+0.0287558
+0.0295106
+0.0303882
+0.031381
+0.0324914
+0.0337078
+0.035019
+0.036415
+0.043381
+0.0418765
+0.0401591
+0.0384821
+0.0368591
+0.0352968
+0.0337898
+0.0323598
+0.0310186
+0.0297656
+0.0286071
+0.0274763
+0.0264051
+0.025455
+0.0246521
+0.0240197
+0.0235748
+0.0233035
+0.0232209
+0.0232785
+0.0227401
+0.0222701
+0.0218795
+0.0216616
+0.0216551
+0.021831
+0.0222046
+0.0225043
+0.0225715
+0.022824
+0.022545
+0.0224683
+0.0225529
+0.0228182
+0.0228385
+0.0229932
+0.0233533
+0.0234892
+0.0233836
+0.0233809
+0.0226772
+0.0216659
+0.0208366
+0.0202117
+0.0197188
+0.0184816
+0.016836
+0.0153127
+0.013773
+0.0123673
+0.0112161
+0.0103377
+0.00979095
+0.00861212
+0.00676482
+0.00507443
+0.00381388
+0.0034473
+0.0041645
+0.00559804
+0.00704777
+0.00811058
+0.00856299
+0.00892835
+0.00944117
+0.0102867
+0.0112745
+0.0125467
+0.0140436
+0.0156875
+0.0174211
+0.0185002
+0.0182351
+0.0180552
+0.0180094
+0.0179882
+0.0181832
+0.0184959
+0.0190075
+0.0196467
+0.0204149
+0.0213766
+0.0224797
+0.0236276
+0.0242722
+0.0243792
+0.0246631
+0.0250612
+0.025605
+0.0263093
+0.0269014
+0.0273582
+0.0279795
+0.0287371
+0.0296234
+0.030641
+0.0317772
+0.0330199
+0.0343574
+0.0357792
+0.0428361
+0.0410669
+0.0393401
+0.0376548
+0.0360042
+0.0344037
+0.0328715
+0.0314075
+0.0300244
+0.0287418
+0.0275678
+0.0264945
+0.0255643
+0.0246512
+0.0238267
+0.0231719
+0.0227103
+0.0224285
+0.0223124
+0.0223997
+0.0222057
+0.0218188
+0.0215166
+0.0213354
+0.0213334
+0.0215462
+0.0219429
+0.0225056
+0.0227941
+0.0228912
+0.0226044
+0.022476
+0.0223066
+0.0220758
+0.0220611
+0.0222252
+0.0225932
+0.022918
+0.0229377
+0.0229176
+0.0231062
+0.0234984
+0.0227991
+0.020895
+0.0190525
+0.0172886
+0.0155553
+0.0139085
+0.0123967
+0.0108487
+0.00951559
+0.0084739
+0.00776936
+0.00682039
+0.00579872
+0.00402862
+0.0024263
+0.00184895
+0.00280916
+0.00410743
+0.0051851
+0.00626553
+0.00638303
+0.00681504
+0.00739539
+0.00833759
+0.0095111
+0.0109847
+0.0126516
+0.0144051
+0.0161673
+0.0180112
+0.0181046
+0.0179234
+0.0177513
+0.0176993
+0.0177959
+0.0180823
+0.018535
+0.0191463
+0.0199292
+0.0209132
+0.0219739
+0.0226625
+0.0234496
+0.0237796
+0.0240706
+0.0245162
+0.0250719
+0.0257762
+0.0262534
+0.0267213
+0.0273384
+0.0280983
+0.0290042
+0.0300428
+0.0312008
+0.0324655
+0.033825
+0.0352674
+0.0421449
+0.0403518
+0.0385931
+0.0368806
+0.0352165
+0.0335901
+0.0320309
+0.0305494
+0.0291336
+0.02781
+0.0266012
+0.0255235
+0.0245596
+0.0237167
+0.0230454
+0.022506
+0.0219999
+0.0216659
+0.021534
+0.0216244
+0.021765
+0.0215283
+0.0212861
+0.021186
+0.0212294
+0.0214433
+0.0218418
+0.022448
+0.0231845
+0.0231579
+0.0226924
+0.0220763
+0.0216652
+0.0214541
+0.0214391
+0.0216162
+0.0219973
+0.0224918
+0.0225498
+0.0226571
+0.0228478
+0.0232257
+0.0220118
+0.020033
+0.0181031
+0.0162293
+0.0143801
+0.0126404
+0.0109323
+0.00929929
+0.00793855
+0.00678173
+0.00579037
+0.00515975
+0.00390276
+0.00322976
+0.00157868
+0.000845463
+0.00160594
+0.00259611
+0.00334677
+0.00430454
+0.00421421
+0.00464749
+0.00543697
+0.00653436
+0.00795625
+0.00965542
+0.0114019
+0.0131844
+0.0150749
+0.0170375
+0.0182038
+0.0179157
+0.0176577
+0.0175234
+0.0175911
+0.0178159
+0.0182353
+0.0188834
+0.0196259
+0.0204781
+0.0211229
+0.0217551
+0.0225579
+0.0233708
+0.0236668
+0.0241583
+0.0247162
+0.0254202
+0.0257759
+0.0262327
+0.0268456
+0.0276191
+0.0285401
+0.029595
+0.0307699
+0.0320517
+0.0334255
+0.0348602
+0.0415235
+0.0397219
+0.037934
+0.0361903
+0.0344976
+0.0328638
+0.0312917
+0.0297734
+0.0283432
+0.0270152
+0.0257785
+0.0246649
+0.0236805
+0.0228051
+0.0221128
+0.0215985
+0.0212777
+0.0210661
+0.0209304
+0.0210234
+0.021342
+0.0213006
+0.0212332
+0.0211798
+0.0213056
+0.0215636
+0.02196
+0.022563
+0.0233469
+0.0229172
+0.0221332
+0.0215135
+0.0210914
+0.0208746
+0.0208591
+0.0210726
+0.0215083
+0.0221357
+0.0223218
+0.0225679
+0.0227594
+0.0231371
+0.0214206
+0.0193815
+0.0173594
+0.0153345
+0.013362
+0.011469
+0.00970213
+0.00786822
+0.0062023
+0.00493636
+0.00381651
+0.00305473
+0.00238275
+0.00133523
+0.00081996
+-4.98564e-05
+0.000927382
+0.000783922
+0.00192616
+0.00218654
+0.0020884
+0.00252028
+0.0036622
+0.0050137
+0.00675179
+0.00844063
+0.01027
+0.0122187
+0.014238
+0.0162777
+0.0182817
+0.0180902
+0.0177945
+0.0175904
+0.0175874
+0.0177526
+0.0181173
+0.0185716
+0.0192335
+0.0199227
+0.020375
+0.0210204
+0.0218438
+0.0228009
+0.0234615
+0.0239576
+0.024541
+0.025158
+0.025458
+0.0259046
+0.0265251
+0.0273077
+0.0282389
+0.0293046
+0.0304907
+0.0317794
+0.0331406
+0.0345871
+0.0405222
+0.0391746
+0.0373852
+0.0356204
+0.0338993
+0.0322352
+0.0306374
+0.0291169
+0.027679
+0.0263174
+0.0250737
+0.0239553
+0.0229619
+0.0220584
+0.021342
+0.0208322
+0.0205117
+0.0204101
+0.0205148
+0.0206202
+0.0209449
+0.0212108
+0.0212816
+0.0213526
+0.0215237
+0.0218627
+0.0222938
+0.022888
+0.0234237
+0.0225268
+0.0217505
+0.0211335
+0.0207036
+0.0205001
+0.0204972
+0.0207144
+0.0211575
+0.0218001
+0.0221949
+0.0225094
+0.0228797
+0.0230769
+0.0209884
+0.018923
+0.0168138
+0.014714
+0.0126451
+0.0106252
+0.00868833
+0.00685098
+0.00484727
+0.00310712
+0.00207395
+0.00103904
+0.000636138
+-0.000299615
+-0.000925604
+-0.00148491
+-0.00116116
+-0.000265475
+-0.00013147
+0.000135565
+6.75228e-05
+0.000639033
+0.00237349
+0.00398965
+0.00562749
+0.00750407
+0.00951518
+0.0115277
+0.0135258
+0.0155757
+0.0176595
+0.018494
+0.0181261
+0.0178575
+0.017795
+0.0177813
+0.0179848
+0.0184086
+0.0190323
+0.0193302
+0.0197962
+0.0204431
+0.0212954
+0.0222636
+0.0233821
+0.0239559
+0.0245411
+0.0250083
+0.0252799
+0.0257294
+0.026354
+0.0271415
+0.0280782
+0.0291498
+0.030342
+0.0316317
+0.032999
+0.0344515
+0.0395749
+0.038724
+0.0369149
+0.035147
+0.0334293
+0.0317456
+0.0301219
+0.028574
+0.0271148
+0.0257595
+0.0245006
+0.0233657
+0.0223604
+0.0214745
+0.0207745
+0.0202505
+0.0199207
+0.019816
+0.0199528
+0.0202925
+0.0207506
+0.021135
+0.0214159
+0.0216672
+0.0219139
+0.0222968
+0.0227947
+0.0234144
+0.0232298
+0.0223185
+0.0215556
+0.0209626
+0.0205291
+0.0203239
+0.0203225
+0.0205416
+0.0209883
+0.0216345
+0.0222837
+0.022597
+0.0231039
+0.0227987
+0.0206821
+0.0185827
+0.0165071
+0.0144034
+0.0122822
+0.0101906
+0.00815114
+0.00621235
+0.00415662
+0.00201178
+5.54163e-05
+-0.000811273
+-0.00143988
+-0.0018356
+-0.00283352
+-0.00323264
+-0.0032616
+-0.0023771
+-0.00216946
+-0.00203313
+-0.0015623
+-0.000240251
+0.00155583
+0.00333177
+0.00512784
+0.00698567
+0.00892553
+0.0109602
+0.0130455
+0.0151605
+0.0172944
+0.019107
+0.0186457
+0.0182633
+0.0179341
+0.0178286
+0.0179913
+0.018395
+0.0185839
+0.0188023
+0.0192329
+0.0198967
+0.0207714
+0.0218119
+0.0229928
+0.0241537
+0.0247167
+0.0250194
+0.0252845
+0.025734
+0.0263584
+0.0271458
+0.0280824
+0.0291538
+0.0303458
+0.0316354
+0.0330026
+0.0344549
+0.0386963
+0.0379903
+0.0365474
+0.0347636
+0.033026
+0.0313451
+0.0297308
+0.0281912
+0.0267112
+0.0253343
+0.0240719
+0.0229366
+0.0219498
+0.0210465
+0.0203401
+0.0198354
+0.0195584
+0.0194518
+0.0195912
+0.019937
+0.0204666
+0.0211379
+0.0215658
+0.0220182
+0.0224593
+0.0228844
+0.0234347
+0.0239074
+0.0229226
+0.0220896
+0.0214292
+0.0209536
+0.0205757
+0.020383
+0.0203816
+0.0206
+0.0210455
+0.0216687
+0.022455
+0.0228948
+0.023403
+0.0227292
+0.0206055
+0.0184974
+0.016411
+0.0143557
+0.0122481
+0.0101663
+0.00813706
+0.00619525
+0.00419099
+0.00205326
+0.000176523
+-0.00159227
+-0.00356825
+-0.00391957
+-0.00470182
+-0.00522452
+-0.00517143
+-0.00452284
+-0.0042905
+-0.00278666
+-0.00139682
+-4.17895e-05
+0.00109218
+0.00291906
+0.00485572
+0.00675547
+0.00874653
+0.0108149
+0.0129213
+0.0150451
+0.0171181
+0.0191895
+0.0191254
+0.0185653
+0.0182061
+0.0181022
+0.0182423
+0.018269
+0.0182826
+0.0184671
+0.0189053
+0.0195802
+0.0204603
+0.0214927
+0.0226903
+0.0240263
+0.0250832
+0.0252151
+0.0254782
+0.0259243
+0.0265443
+0.0273263
+0.0282569
+0.029322
+0.0304968
+0.0317638
+0.0331273
+0.0345747
+0.0378589
+0.037142
+0.0362917
+0.0345021
+0.0327569
+0.0310616
+0.0294317
+0.0278788
+0.0264164
+0.0250604
+0.0237994
+0.0226597
+0.0216797
+0.0208081
+0.0201013
+0.0196067
+0.0193457
+0.0193098
+0.0194501
+0.0198187
+0.0203514
+0.0210852
+0.0218597
+0.0224204
+0.0230247
+0.0236113
+0.0241935
+0.0235738
+0.0225939
+0.0217697
+0.0211193
+0.0206815
+0.0204145
+0.0203454
+0.0204774
+0.0208207
+0.0212179
+0.0218277
+0.0226153
+0.0233948
+0.0238923
+0.0228703
+0.0207611
+0.0186706
+0.0166059
+0.0145781
+0.0125821
+0.0104897
+0.00843353
+0.00646629
+0.00459931
+0.00275896
+0.00119318
+-0.000981142
+-0.00316088
+-0.00534865
+-0.00664279
+-0.00733019
+-0.00718165
+-0.00616579
+-0.00438823
+-0.00277642
+-0.00121692
+0.000292899
+0.00173715
+0.00341582
+0.00498873
+0.00690387
+0.00894509
+0.0108827
+0.0128393
+0.0148613
+0.0163624
+0.0177345
+0.0192423
+0.0190706
+0.0187168
+0.0185973
+0.0182684
+0.01808
+0.0181424
+0.0183404
+0.0187815
+0.0194607
+0.0203451
+0.0213831
+0.0225864
+0.0239283
+0.025377
+0.0255975
+0.0258567
+0.0262964
+0.0269078
+0.0276795
+0.0285987
+0.0296369
+0.0307645
+0.0319975
+0.0332692
+0.0346285
+0.037132
+0.0364008
+0.035789
+0.0343575
+0.0326091
+0.030917
+0.0292911
+0.0277331
+0.0262626
+0.0248982
+0.0236584
+0.0225382
+0.0215663
+0.0207037
+0.0200316
+0.0195622
+0.0193081
+0.0192966
+0.0195044
+0.0199012
+0.0204594
+0.0211922
+0.0221017
+0.0229191
+0.023638
+0.0243486
+0.0245716
+0.0234411
+0.0224554
+0.021627
+0.0209721
+0.0205312
+0.0203068
+0.0202373
+0.0204041
+0.0207682
+0.021341
+0.0220881
+0.022967
+0.0239183
+0.024568
+0.0232182
+0.0211437
+0.0190951
+0.0170818
+0.015118
+0.0130705
+0.0110603
+0.00913347
+0.00711824
+0.00507407
+0.00293385
+0.000897006
+-0.0011917
+-0.00336147
+-0.00552896
+-0.00770657
+-0.00947449
+-0.00844294
+-0.00653016
+-0.00452216
+-0.00264214
+-0.000903894
+0.000632197
+0.00203122
+0.00392061
+0.00570774
+0.00744005
+0.00918166
+0.0110177
+0.0124826
+0.0136359
+0.0149375
+0.0164099
+0.0180167
+0.019531
+0.0193008
+0.0187447
+0.0183007
+0.0181126
+0.0181749
+0.0184612
+0.0189114
+0.0195861
+0.020465
+0.0214972
+0.022682
+0.0239817
+0.0254021
+0.0261584
+0.026412
+0.0268426
+0.0274419
+0.0281688
+0.0289876
+0.0299051
+0.0309485
+0.0321077
+0.0333706
+0.0347259
+0.0364815
+0.0357514
+0.0351283
+0.034344
+0.0325947
+0.0309018
+0.0292749
+0.0277257
+0.0262681
+0.0249115
+0.0236723
+0.0225781
+0.0216162
+0.0208292
+0.0201612
+0.0197153
+0.0194772
+0.0194659
+0.0196847
+0.0201249
+0.0207659
+0.0214883
+0.0223962
+0.0234404
+0.0242901
+0.0251571
+0.0245265
+0.0234216
+0.0224571
+0.021649
+0.0210389
+0.0206128
+0.0204006
+0.0203656
+0.0205314
+0.0209244
+0.0214935
+0.0222475
+0.0231606
+0.0242217
+0.0254152
+0.0237638
+0.0217224
+0.0195928
+0.0174784
+0.0153853
+0.0133236
+0.0111746
+0.00899647
+0.00682638
+0.00467555
+0.00254999
+0.000516438
+-0.0015652
+-0.00370194
+-0.00578109
+-0.0079206
+-0.0100581
+-0.0090201
+-0.00698523
+-0.00497443
+-0.00296904
+-0.00106329
+0.00027866
+0.00192285
+0.00393907
+0.00554372
+0.00700483
+0.00842406
+0.00982281
+0.0110701
+0.0122597
+0.013693
+0.0152858
+0.0168118
+0.0184254
+0.0192414
+0.018609
+0.0182087
+0.0180198
+0.0180782
+0.018366
+0.018905
+0.0196591
+0.020589
+0.0217009
+0.0228849
+0.0241739
+0.0255858
+0.0268669
+0.0270798
+0.0273985
+0.0278861
+0.0285038
+0.0292706
+0.0301772
+0.0312115
+0.0323207
+0.0335203
+0.0348164
+0.035891
+0.0351729
+0.0345607
+0.034057
+0.0327078
+0.031021
+0.0294007
+0.0278585
+0.0264082
+0.0250592
+0.0238277
+0.022741
+0.0218208
+0.0210702
+0.0204554
+0.0200169
+0.0198114
+0.0198471
+0.0200946
+0.0205348
+0.0211848
+0.0219996
+0.0228903
+0.0239176
+0.0250602
+0.0258995
+0.0246618
+0.0235632
+0.0226078
+0.021816
+0.0212136
+0.0208224
+0.0206573
+0.0206549
+0.0208629
+0.0212753
+0.0218353
+0.0225942
+0.0234931
+0.0245475
+0.0257456
+0.0236275
+0.0214634
+0.0193053
+0.0171555
+0.0150175
+0.0128971
+0.0108049
+0.00870727
+0.00654048
+0.00438129
+0.00223854
+0.00010295
+-0.00193992
+-0.00362316
+-0.00545672
+-0.0073628
+-0.00930143
+-0.0094758
+-0.00764197
+-0.00561807
+-0.00367414
+-0.00207244
+-0.000388596
+0.0013464
+0.00302776
+0.00451064
+0.00595108
+0.00727562
+0.00861515
+0.00975601
+0.0111054
+0.0126759
+0.0142201
+0.0157944
+0.0174931
+0.0191745
+0.018533
+0.0181346
+0.0179477
+0.0180241
+0.0183108
+0.0188296
+0.0195623
+0.0204966
+0.02158
+0.0228137
+0.0241833
+0.0256663
+0.0272362
+0.0275788
+0.0278918
+0.0283365
+0.0288781
+0.0295724
+0.030409
+0.0313766
+0.0324634
+0.0336131
+0.0348526
+0.035391
+0.0346766
+0.0340883
+0.0335984
+0.0329663
+0.0312934
+0.0296879
+0.028156
+0.0267138
+0.0253791
+0.0241695
+0.0231048
+0.0222011
+0.0214698
+0.0208669
+0.0204817
+0.0203137
+0.0203485
+0.0206166
+0.0210709
+0.0217333
+0.0225693
+0.0235442
+0.0245728
+0.0257181
+0.0261899
+0.0249666
+0.0238821
+0.0229399
+0.0221602
+0.0215693
+0.0211846
+0.0210222
+0.0210875
+0.0213034
+0.0217272
+0.0223409
+0.0230898
+0.0240016
+0.0250397
+0.0254883
+0.0234107
+0.021355
+0.0191993
+0.0170525
+0.0149184
+0.012796
+0.0106898
+0.00862411
+0.00663589
+0.00453845
+0.00254683
+0.000768987
+-0.000731724
+-0.00252864
+-0.00445937
+-0.00651266
+-0.00861637
+-0.00957401
+-0.00790151
+-0.0060791
+-0.00436662
+-0.00261416
+-0.00114297
+0.000452243
+0.00198881
+0.00351492
+0.00490139
+0.00626867
+0.00755073
+0.00876867
+0.0102461
+0.0118089
+0.0132966
+0.014935
+0.0165641
+0.0182602
+0.0186847
+0.01829
+0.0181097
+0.0181855
+0.0184571
+0.0189445
+0.0196652
+0.0205949
+0.0216722
+0.0229009
+0.0242656
+0.0257438
+0.0273093
+0.0280823
+0.0282914
+0.0286669
+0.0292024
+0.0298387
+0.0306075
+0.0315101
+0.0325355
+0.0336723
+0.0348649
+0.0350038
+0.0342814
+0.0336861
+0.033225
+0.0328685
+0.0316944
+0.0301033
+0.0285916
+0.0271727
+0.0258616
+0.0246704
+0.0236225
+0.0227379
+0.0220258
+0.0214685
+0.0210943
+0.0209437
+0.0210194
+0.0212821
+0.0217607
+0.0224194
+0.0232503
+0.0242513
+0.025361
+0.0265005
+0.026613
+0.0254101
+0.0243394
+0.0234245
+0.0226612
+0.0220791
+0.0217035
+0.0215452
+0.0216052
+0.0218468
+0.0223019
+0.022928
+0.0236976
+0.0245946
+0.0256404
+0.0253645
+0.0233035
+0.0212387
+0.0192012
+0.017167
+0.0150581
+0.0129706
+0.0109182
+0.00890876
+0.00698366
+0.00518601
+0.00362463
+0.00210765
+0.000391708
+-0.00175966
+-0.00394397
+-0.00570114
+-0.0070672
+-0.00809472
+-0.00709637
+-0.00597437
+-0.0040995
+-0.00248088
+-0.00102308
+8.02666e-05
+0.00146364
+0.0025975
+0.00402286
+0.00538515
+0.00669964
+0.00808218
+0.00957864
+0.0110836
+0.012522
+0.0141231
+0.0158085
+0.0174448
+0.018965
+0.0185763
+0.0184316
+0.0184802
+0.0187618
+0.0192564
+0.0199659
+0.0208821
+0.0219676
+0.0231807
+0.0245298
+0.0259938
+0.0275543
+0.0285311
+0.0286723
+0.028979
+0.0294458
+0.0300654
+0.0308286
+0.0316486
+0.0325839
+0.0336361
+0.0347391
+0.0347342
+0.0340228
+0.033423
+0.0329582
+0.0326228
+0.0322313
+0.0306678
+0.0291808
+0.027787
+0.0265012
+0.0253399
+0.0243208
+0.0234626
+0.0227509
+0.0222246
+0.0218928
+0.0217477
+0.0218227
+0.0221143
+0.0225787
+0.0232379
+0.024079
+0.0250603
+0.0261757
+0.0274085
+0.0271542
+0.0259703
+0.0249231
+0.0240305
+0.0233102
+0.022747
+0.0223826
+0.0222291
+0.0222909
+0.0225364
+0.0229779
+0.0236002
+0.0243874
+0.0253273
+0.0263788
+0.0253457
+0.0233495
+0.0213187
+0.0193069
+0.0173351
+0.0154047
+0.0134028
+0.0114291
+0.00955043
+0.00781853
+0.00608788
+0.00395626
+0.00193761
+-0.000133102
+-0.00197417
+-0.00286003
+-0.00408175
+-0.00565153
+-0.00675078
+-0.00557603
+-0.00477367
+-0.00421811
+-0.00230079
+-0.000547624
+0.000697038
+0.00137923
+0.00240295
+0.00365949
+0.00486604
+0.00619408
+0.00760402
+0.00897632
+0.0104619
+0.0119736
+0.0136035
+0.0151787
+0.016841
+0.0184188
+0.0189959
+0.0188542
+0.018927
+0.0192255
+0.019741
+0.0204476
+0.0213432
+0.0224178
+0.0236362
+0.0249608
+0.0264008
+0.0279387
+0.0289184
+0.0290578
+0.0293592
+0.0297269
+0.0302485
+0.0309168
+0.0317227
+0.0326478
+0.0334772
+0.0344263
+0.0345643
+0.0338554
+0.0332526
+0.0327853
+0.0324595
+0.0322617
+0.0313461
+0.0298928
+0.0285338
+0.0272833
+0.0261567
+0.0251708
+0.0243425
+0.0236546
+0.0231489
+0.022843
+0.0227167
+0.0227885
+0.023069
+0.0235401
+0.0241732
+0.024983
+0.025953
+0.0270656
+0.0282758
+0.0278514
+0.0266985
+0.025681
+0.0248156
+0.0241188
+0.0235749
+0.0232235
+0.0230756
+0.0231352
+0.0234005
+0.0238046
+0.0243992
+0.0251711
+0.0260964
+0.0271588
+0.0254813
+0.0234944
+0.0215471
+0.0196018
+0.0176583
+0.0157798
+0.0139923
+0.0121883
+0.0104471
+0.00841064
+0.00628337
+0.00422146
+0.00227874
+0.000710557
+-0.000264633
+-0.0011556
+-0.00265006
+-0.00434332
+-0.00557549
+-0.00424272
+-0.00332391
+-0.00260098
+-0.00264948
+-0.00089206
+0.00108463
+0.0023032
+0.0029084
+0.00375006
+0.00485532
+0.0061159
+0.00747665
+0.00873855
+0.0101288
+0.0115747
+0.0130223
+0.0146009
+0.0162342
+0.0178647
+0.0194936
+0.0193717
+0.0194901
+0.0198359
+0.0203619
+0.0210782
+0.0219835
+0.0230282
+0.0242264
+0.0255566
+0.0269802
+0.0284867
+0.0293208
+0.0293951
+0.0296023
+0.0299663
+0.0304773
+0.0310152
+0.0315846
+0.032293
+0.0331075
+0.0340395
+0.0345328
+0.0338232
+0.0332198
+0.0327521
+0.0324259
+0.0322456
+0.0321596
+0.0307448
+0.0294252
+0.0282142
+0.0271263
+0.0261769
+0.0253775
+0.0247133
+0.0242297
+0.0239376
+0.0238266
+0.0238951
+0.0241628
+0.0246233
+0.0252542
+0.0260321
+0.0269644
+0.0280372
+0.0292347
+0.0286994
+0.0275819
+0.0265982
+0.0257637
+0.0250932
+0.0245709
+0.0242339
+0.0240922
+0.0241493
+0.0244036
+0.0247913
+0.0253628
+0.0260978
+0.0269838
+0.0277949
+0.0258008
+0.0238406
+0.0219241
+0.0200521
+0.0182187
+0.0164044
+0.014688
+0.0130747
+0.0110641
+0.00903092
+0.0070922
+0.00525524
+0.00365994
+0.00242767
+0.0016039
+0.000304024
+-0.00136177
+-0.00312974
+-0.00444395
+-0.00305163
+-0.00191562
+-0.000967706
+-0.000894955
+-0.000746719
+0.000494962
+0.00216072
+0.00370427
+0.00428024
+0.0052022
+0.00633912
+0.00747061
+0.00870349
+0.00994584
+0.0112727
+0.0127146
+0.0142703
+0.0157908
+0.0172836
+0.0189093
+0.0200697
+0.020184
+0.0205327
+0.0210706
+0.0218063
+0.0226896
+0.0237423
+0.0249093
+0.0262048
+0.0276136
+0.0291181
+0.0297242
+0.029704
+0.0298326
+0.0299473
+0.0302207
+0.0306487
+0.0312248
+0.0319165
+0.0327361
+0.0336785
+0.0346401
+0.0339328
+0.0333313
+0.0328652
+0.0325402
+0.0323605
+0.0323134
+0.0317254
+0.0304483
+0.0292797
+0.0282329
+0.027322
+0.0265453
+0.0259111
+0.0254503
+0.0251723
+0.0250792
+0.0251443
+0.0253989
+0.0258373
+0.0264393
+0.0271953
+0.0281021
+0.029141
+0.0302953
+0.0296046
+0.0285118
+0.0275502
+0.026734
+0.0260766
+0.0255895
+0.0252661
+0.0251302
+0.0251849
+0.0254227
+0.0258239
+0.0264014
+0.0271269
+0.0279804
+0.0282257
+0.0262989
+0.024369
+0.0224854
+0.0206343
+0.0188443
+0.0171474
+0.0155744
+0.0139027
+0.0119512
+0.0100939
+0.00832099
+0.00668508
+0.00523966
+0.00427448
+0.00317828
+0.00153486
+-0.000286302
+-0.00220416
+-0.00343134
+-0.00177105
+-0.000537575
+0.000287941
+0.000788612
+0.000869593
+0.0012972
+0.00228791
+0.00379182
+0.00515317
+0.00570884
+0.00658217
+0.00776532
+0.00885069
+0.00956117
+0.0104861
+0.0116962
+0.0131053
+0.0145677
+0.0161737
+0.0179005
+0.0197023
+0.0210511
+0.0213845
+0.0218916
+0.0226005
+0.0234931
+0.0245357
+0.0256999
+0.0269919
+0.0283658
+0.0298335
+0.0298648
+0.0296603
+0.0296139
+0.0297294
+0.0300049
+0.0304359
+0.0309907
+0.031683
+0.0325085
+0.0334572
+0.0348506
+0.0341794
+0.0335857
+0.0331231
+0.0328006
+0.0326224
+0.0325757
+0.0326343
+0.0315694
+0.0304424
+0.0294356
+0.0285616
+0.0278146
+0.02721
+0.0267716
+0.0265075
+0.026423
+0.0265075
+0.0267491
+0.0271658
+0.027747
+0.0284683
+0.0293358
+0.030337
+0.0314591
+0.0305966
+0.0295406
+0.0286136
+0.0278285
+0.0271976
+0.0267266
+0.0264171
+0.0262872
+0.0263395
+0.0265713
+0.0269554
+0.0275091
+0.02822
+0.0290733
+0.0278084
+0.0261761
+0.0246306
+0.0231894
+0.0213927
+0.0196718
+0.0180529
+0.0165661
+0.0149433
+0.0131161
+0.0113379
+0.00969015
+0.00818929
+0.0070017
+0.00607029
+0.00429917
+0.00254689
+0.000535016
+-0.00145523
+-0.00250959
+-0.000679564
+0.000946192
+0.00188444
+0.00238114
+0.00244219
+0.00251791
+0.00310413
+0.00411033
+0.00550428
+0.00660659
+0.00671705
+0.00680283
+0.00724691
+0.00810455
+0.00912094
+0.0104896
+0.0119975
+0.0135656
+0.0152783
+0.0170997
+0.0189513
+0.020867
+0.0223687
+0.0228934
+0.0235723
+0.0244294
+0.0254467
+0.0265934
+0.027844
+0.0292055
+0.0301126
+0.0297772
+0.0295843
+0.0295379
+0.0296537
+0.0299298
+0.0303542
+0.0309058
+0.0316
+0.0324275
+0.0333786
+0.0351747
+0.0345098
+0.0339718
+0.0335145
+0.0331959
+0.0330198
+0.0329817
+0.0330397
+0.0327906
+0.0317071
+0.0307417
+0.0299059
+0.0291933
+0.0286179
+0.0282013
+0.0279508
+0.0278706
+0.0279624
+0.0282038
+0.0285993
+0.0291544
+0.0298479
+0.0306765
+0.0316353
+0.0327129
+0.0317092
+0.0306914
+0.0298003
+0.0290473
+0.0284435
+0.0279892
+0.0276939
+0.02757
+0.0276198
+0.0278425
+0.0282119
+0.0287415
+0.0294249
+0.0282338
+0.0264918
+0.0248046
+0.0231679
+0.0216294
+0.0201674
+0.0187533
+0.0174679
+0.0162965
+0.0153027
+0.0142905
+0.0126576
+0.0112089
+0.00993651
+0.0089245
+0.00716507
+0.00523964
+0.00332722
+0.00147766
+-0.000348407
+-0.00180378
+6.52101e-05
+0.00210533
+0.00354136
+0.00375378
+0.00409247
+0.00403603
+0.00429369
+0.00512463
+0.0060337
+0.00512954
+0.00491041
+0.00531292
+0.00587396
+0.00690541
+0.00809686
+0.00961126
+0.0111545
+0.0128112
+0.0145895
+0.0164671
+0.018414
+0.0203872
+0.022394
+0.0239884
+0.0246748
+0.025502
+0.0264782
+0.0275939
+0.0288257
+0.0301534
+0.0301846
+0.0298501
+0.0296577
+0.0296114
+0.0297269
+0.0300023
+0.0304257
+0.030976
+0.0316686
+0.0324944
+0.0334436
+0.0355816
+0.0349244
+0.0343944
+0.0339963
+0.0336822
+0.0335086
+0.0334779
+0.0335833
+0.0337825
+0.0330687
+0.0321442
+0.0313458
+0.0306667
+0.0301194
+0.0297239
+0.0294863
+0.0294104
+0.0294974
+0.0297355
+0.0301108
+0.0306386
+0.0313111
+0.0321108
+0.0330279
+0.0339948
+0.0329104
+0.0319396
+0.0310931
+0.0303748
+0.0297846
+0.0293441
+0.0290625
+0.0289445
+0.028992
+0.0292042
+0.0295776
+0.030083
+0.0289326
+0.0270759
+0.0252543
+0.0234936
+0.021807
+0.0201869
+0.0186597
+0.0171599
+0.0157804
+0.0146008
+0.0134896
+0.0126326
+0.0120213
+0.0117382
+0.0116886
+0.00999328
+0.00813864
+0.00631323
+0.00446181
+0.00265956
+0.00093772
+-0.000352947
+0.000875194
+0.00268056
+0.00462252
+0.00540177
+0.00574882
+0.00567835
+0.00588614
+0.00499901
+0.00423978
+0.00376726
+0.00341247
+0.00398045
+0.00475009
+0.00590912
+0.007458
+0.00901093
+0.0106168
+0.0123324
+0.0141669
+0.0160845
+0.0180643
+0.0200587
+0.0218348
+0.0236636
+0.0255493
+0.0266787
+0.0276132
+0.028685
+0.0298792
+0.030808
+0.0303224
+0.0299894
+0.0298141
+0.0297786
+0.0298934
+0.0301673
+0.030596
+0.0311732
+0.0318817
+0.0327022
+0.0336407
+0.036117
+0.0354698
+0.034948
+0.0345575
+0.0343015
+0.0341311
+0.0341009
+0.0342093
+0.034422
+0.0345157
+0.033631
+0.0328687
+0.0322125
+0.031692
+0.0313163
+0.0310909
+0.0310189
+0.0311014
+0.0313368
+0.0316932
+0.032195
+0.0328357
+0.0336072
+0.0344986
+0.0352464
+0.0342016
+0.0332686
+0.0324567
+0.0317714
+0.0312054
+0.0307853
+0.030517
+0.0304046
+0.0304499
+0.030652
+0.0310079
+0.0299037
+0.027943
+0.0260189
+0.0241404
+0.0223051
+0.020521
+0.018823
+0.0172365
+0.015711
+0.0141914
+0.0128668
+0.0116887
+0.0106964
+0.010068
+0.00982732
+0.00995699
+0.0104725
+0.00931463
+0.00749067
+0.00569047
+0.0040191
+0.0024524
+0.00156317
+0.00219273
+0.00373855
+0.00550518
+0.00720484
+0.00740421
+0.00672607
+0.00498405
+0.00342352
+0.00249359
+0.00195463
+0.00204407
+0.00297243
+0.00413125
+0.00542149
+0.00702364
+0.0087283
+0.010412
+0.012163
+0.0140122
+0.0159197
+0.0178088
+0.0196293
+0.0214853
+0.0233411
+0.0252506
+0.0272025
+0.0288521
+0.0298794
+0.0310277
+0.0309786
+0.0304957
+0.0301647
+0.0299904
+0.029955
+0.0300692
+0.0303415
+0.0307678
+0.0313418
+0.0320555
+0.0328918
+0.0338299
+0.0367754
+0.0361399
+0.0356279
+0.035245
+0.0349952
+0.0348803
+0.0348507
+0.0349568
+0.0351649
+0.0355064
+0.0351915
+0.0344545
+0.0338267
+0.0333313
+0.0329744
+0.0327603
+0.032692
+0.0327703
+0.0329942
+0.0333444
+0.0338218
+0.0344322
+0.0351687
+0.0360214
+0.0365864
+0.035581
+0.0346851
+0.0339072
+0.0332488
+0.0327085
+0.0323079
+0.0320524
+0.0319454
+0.0319884
+0.0321809
+0.0311538
+0.0291125
+0.0270946
+0.0251057
+0.0231532
+0.0212471
+0.019397
+0.0175917
+0.0158826
+0.0142962
+0.0127363
+0.0112645
+0.010032
+0.00886947
+0.00811244
+0.00782965
+0.00808725
+0.00871869
+0.00973834
+0.00876012
+0.00711326
+0.00553717
+0.004282
+0.00366006
+0.00401245
+0.00516595
+0.00672838
+0.00839896
+0.00823834
+0.00618644
+0.00414243
+0.00218891
+0.000674692
+0.000102157
+0.000944806
+0.00217387
+0.00371773
+0.00512882
+0.00684365
+0.00847551
+0.010236
+0.0118964
+0.0136398
+0.0154972
+0.0174322
+0.0193841
+0.0212627
+0.0231961
+0.0251344
+0.0270947
+0.029076
+0.031082
+0.0318799
+0.0312757
+0.0308158
+0.0304966
+0.0303242
+0.0302893
+0.0304022
+0.0306716
+0.0310934
+0.0316614
+0.0323681
+0.0331997
+0.0341375
+0.0375501
+0.036928
+0.0364271
+0.0360527
+0.0358085
+0.0356974
+0.0357194
+0.0358229
+0.036026
+0.0363594
+0.0368093
+0.0361013
+0.0355027
+0.035031
+0.0346915
+0.0344882
+0.0344233
+0.0344976
+0.0347104
+0.0350549
+0.0355092
+0.0360911
+0.0367944
+0.0376103
+0.0380055
+0.0370387
+0.0361788
+0.0354337
+0.0347953
+0.0342793
+0.0338973
+0.0336539
+0.033552
+0.033593
+0.032651
+0.0305527
+0.0284684
+0.0264012
+0.0243557
+0.0223378
+0.0203556
+0.0184206
+0.0165496
+0.0147316
+0.0130035
+0.0113461
+0.00980524
+0.00844578
+0.00724704
+0.00631321
+0.00594556
+0.00624337
+0.0070875
+0.00825361
+0.00970538
+0.00862569
+0.00727525
+0.00627357
+0.00582548
+0.00604698
+0.00691803
+0.00821536
+0.00974865
+0.00779367
+0.00585633
+0.00378185
+0.00161786
+-0.000536626
+-0.00142422
+0.000432535
+0.00203255
+0.00324341
+0.0047273
+0.00645385
+0.00811121
+0.00986839
+0.0117213
+0.0134864
+0.0153608
+0.0172843
+0.0192622
+0.0212243
+0.0231596
+0.0251368
+0.0271468
+0.0291404
+0.0311422
+0.0322839
+0.031699
+0.031257
+0.0309603
+0.0308059
+0.0307763
+0.0308874
+0.0311526
+0.0315679
+0.0321276
+0.0328242
+0.0336447
+0.0345704
+0.0384343
+0.0378267
+0.0373379
+0.0369726
+0.0367346
+0.0366263
+0.0366489
+0.0367992
+0.0369969
+0.0373217
+0.0377709
+0.03779
+0.0372304
+0.0367827
+0.0364595
+0.036266
+0.0362043
+0.036275
+0.0364774
+0.0368093
+0.0372464
+0.0378016
+0.0384736
+0.0392565
+0.0394952
+0.0385601
+0.0377283
+0.0370076
+0.0364046
+0.0359139
+0.0355495
+0.0353174
+0.0352204
+0.0339118
+0.0322155
+0.0300931
+0.0279804
+0.0258753
+0.0237846
+0.0217136
+0.0196686
+0.0176586
+0.015697
+0.0138044
+0.0119726
+0.0101564
+0.00848197
+0.00701653
+0.00572419
+0.00472362
+0.00427398
+0.00463711
+0.00571779
+0.00701268
+0.00860943
+0.0103071
+0.00915298
+0.00836528
+0.00800465
+0.00816217
+0.0088269
+0.0099381
+0.00917189
+0.00719677
+0.00503475
+0.00291586
+0.000964716
+-0.000631338
+-0.00207472
+-0.000639388
+0.00114934
+0.00296573
+0.0046785
+0.00641708
+0.00813442
+0.0099004
+0.0117941
+0.0136363
+0.0154926
+0.0174015
+0.0193674
+0.0213633
+0.0232871
+0.0252543
+0.0272557
+0.0292842
+0.0313218
+0.0327745
+0.0321984
+0.0317634
+0.0314751
+0.0313196
+0.0313054
+0.0314443
+0.0317341
+0.0321708
+0.032734
+0.033418
+0.0342244
+0.0351348
+0.0394205
+0.0388283
+0.0383523
+0.0379968
+0.0377653
+0.0376599
+0.0376819
+0.0378309
+0.0380628
+0.0383849
+0.0388218
+0.0393714
+0.0389928
+0.0385677
+0.0382596
+0.0380753
+0.0380165
+0.0380839
+0.0382767
+0.0385931
+0.0390104
+0.0395408
+0.0401837
+0.040934
+0.041026
+0.0401257
+0.039327
+0.0386362
+0.038059
+0.0375902
+0.0372422
+0.035859
+0.0342895
+0.0327805
+0.0313425
+0.0297631
+0.0276259
+0.0254979
+0.0233814
+0.02128
+0.0191985
+0.0171429
+0.0151162
+0.0131402
+0.0112259
+0.009281
+0.00747346
+0.00582798
+0.00447204
+0.00309529
+0.00263129
+0.00333149
+0.00460012
+0.00613978
+0.00791257
+0.00980108
+0.0111353
+0.0104819
+0.0101888
+0.0103089
+0.0108429
+0.0107629
+0.00867289
+0.0066481
+0.00472357
+0.00275389
+0.000643844
+-0.00145769
+-0.00260555
+-0.000544097
+0.00162713
+0.00343395
+0.00525184
+0.00692669
+0.00865789
+0.0103715
+0.0122085
+0.0141284
+0.0159274
+0.0177897
+0.019717
+0.0216943
+0.023618
+0.0255598
+0.027539
+0.0294251
+0.0313104
+0.0332333
+0.0328367
+0.0324102
+0.0321277
+0.0319754
+0.0319616
+0.0320975
+0.0323815
+0.0328096
+0.0333763
+0.0340746
+0.0348959
+0.0358137
+0.0405013
+0.0399252
+0.0394624
+0.039117
+0.0388921
+0.0387898
+0.0388111
+0.0389558
+0.0391811
+0.0395208
+0.0399654
+0.0405038
+0.0407967
+0.0403879
+0.0400938
+0.0399179
+0.0398619
+0.0399261
+0.0401101
+0.0404121
+0.0408157
+0.0413229
+0.0419386
+0.042658
+0.0426136
+0.0417476
+0.0409805
+0.040318
+0.0397653
+0.0382046
+0.0365144
+0.0348723
+0.0332877
+0.0317422
+0.0302727
+0.0288658
+0.0274415
+0.025298
+0.0231632
+0.02104
+0.0189322
+0.0168455
+0.0147889
+0.012777
+0.0108347
+0.00880829
+0.00687856
+0.00509447
+0.0031708
+0.00151067
+0.000696307
+0.00194653
+0.00378492
+0.00568141
+0.00754419
+0.00948998
+0.011489
+0.0126176
+0.0123752
+0.012471
+0.0125743
+0.0104748
+0.00842192
+0.00636188
+0.00439052
+0.00253869
+0.000743151
+-0.00107432
+-0.0026137
+-0.000813047
+0.00133346
+0.00345463
+0.00559958
+0.00769648
+0.0095623
+0.011192
+0.0129205
+0.0147721
+0.0162498
+0.0177348
+0.0193187
+0.0210042
+0.0227543
+0.0245657
+0.0264346
+0.0283496
+0.0303019
+0.0322697
+0.0336043
+0.0331877
+0.0329119
+0.032757
+0.0327434
+0.0328762
+0.0331535
+0.0335717
+0.0341257
+0.0348091
+0.0356142
+0.0365203
+0.0416693
+0.0411096
+0.0406602
+0.0403251
+0.040107
+0.0400078
+0.0400197
+0.0401369
+0.0403728
+0.0407135
+0.0411573
+0.0417115
+0.0423423
+0.0422433
+0.0419622
+0.0417942
+0.0417406
+0.041802
+0.0419778
+0.0422665
+0.0426572
+0.0431428
+0.0437328
+0.0444231
+0.0442528
+0.0434195
+0.0426825
+0.0409768
+0.0391619
+0.0373868
+0.0356578
+0.0339744
+0.0323489
+0.0307912
+0.0292654
+0.0278078
+0.0264302
+0.0249319
+0.0231331
+0.0210095
+0.0189011
+0.0168138
+0.0147565
+0.0127438
+0.0107596
+0.00876864
+0.00683793
+0.00469706
+0.00254632
+0.000449499
+-0.000577734
+0.00154278
+0.00364465
+0.0057537
+0.00763865
+0.00956209
+0.0115311
+0.0135425
+0.0145629
+0.0146416
+0.0125868
+0.0104842
+0.00842656
+0.00645708
+0.00465671
+0.00293233
+0.00120626
+-0.000419045
+-0.00139296
+-0.000122889
+0.00169893
+0.00357387
+0.00553606
+0.00762202
+0.00952626
+0.0107171
+0.0118742
+0.0132164
+0.0146821
+0.0162668
+0.0179604
+0.0197258
+0.021569
+0.023472
+0.0254214
+0.0274073
+0.0293562
+0.0312972
+0.0332692
+0.0340724
+0.033802
+0.0336465
+0.0336333
+0.0337626
+0.0340326
+0.0344402
+0.0349805
+0.0356474
+0.0364341
+0.0373329
+0.0429175
+0.0423742
+0.0419384
+0.0416136
+0.0413977
+0.0412791
+0.0412766
+0.0413903
+0.041619
+0.0419568
+0.0423876
+0.0429259
+0.0435679
+0.0441294
+0.0438604
+0.0436997
+0.0436485
+0.0437072
+0.0438753
+0.0441516
+0.0445303
+0.0449956
+0.0455617
+0.0462247
+0.045938
+0.0441112
+0.0422082
+0.0403345
+0.0384894
+0.0366817
+0.0349179
+0.0331969
+0.0315313
+0.0299335
+0.0283915
+0.0268869
+0.0254814
+0.023978
+0.0224005
+0.0209275
+0.0190902
+0.0170261
+0.014998
+0.0130205
+0.0110884
+0.00915454
+0.00709958
+0.00498937
+0.00294632
+0.00109066
+0.000380661
+0.0020856
+0.00415803
+0.00628181
+0.0081504
+0.00994271
+0.0118506
+0.0138296
+0.0158345
+0.014903
+0.0128199
+0.0107609
+0.00873228
+0.006804
+0.00501292
+0.0033032
+0.00159108
+0.00013045
+-0.000448061
+0.000648303
+0.00220151
+0.00384
+0.00565861
+0.00702381
+0.00787005
+0.00886897
+0.0101797
+0.0116436
+0.0132225
+0.0149241
+0.0167227
+0.0186055
+0.0205495
+0.0225388
+0.024554
+0.0264845
+0.0284528
+0.0304467
+0.0324587
+0.0344926
+0.0348029
+0.0346519
+0.0346391
+0.0347646
+0.035027
+0.0354231
+0.0359486
+0.0365979
+0.0373645
+0.0382415
+0.0442206
+0.0436935
+0.0432711
+0.0429529
+0.0427264
+0.0426116
+0.0426092
+0.0427193
+0.042941
+0.0432726
+0.0436923
+0.0442148
+0.0448383
+0.0455588
+0.0457848
+0.0456308
+0.0455818
+0.045638
+0.045799
+0.0460638
+0.0464305
+0.0468776
+0.0474212
+0.0475432
+0.0455745
+0.0436254
+0.0417002
+0.0398026
+0.0379316
+0.036096
+0.0343021
+0.0325485
+0.030848
+0.0292128
+0.0276308
+0.0261064
+0.0246685
+0.0231924
+0.0215575
+0.0200226
+0.0186135
+0.0171589
+0.015506
+0.0135833
+0.0117208
+0.00983489
+0.00782958
+0.00591913
+0.00416224
+0.00276707
+0.0023706
+0.00332322
+0.0049962
+0.00695782
+0.00897539
+0.010634
+0.0124322
+0.0142794
+0.0162123
+0.0150624
+0.0129871
+0.0109466
+0.00883154
+0.00674716
+0.00471921
+0.00281626
+0.00136577
+0.000219728
+-3.61902e-05
+0.000981565
+0.00203647
+0.00303046
+0.0041682
+0.00508786
+0.00593685
+0.00713344
+0.00863167
+0.0102042
+0.0119191
+0.0137618
+0.0156941
+0.0176868
+0.0197216
+0.0217104
+0.0236701
+0.0256549
+0.0276685
+0.0297067
+0.0317558
+0.0338227
+0.0359043
+0.0357634
+0.035751
+0.0358726
+0.0361269
+0.0365111
+0.0370212
+0.037652
+0.0383976
+0.0392514
+0.0455767
+0.0450655
+0.044656
+0.0443433
+0.044124
+0.0440128
+0.0440105
+0.0441171
+0.0443318
+0.0446531
+0.0450659
+0.0455726
+0.0461778
+0.0468776
+0.047668
+0.0475845
+0.0475374
+0.0475913
+0.0477458
+0.0479998
+0.0483518
+0.0487854
+0.0491745
+0.0471748
+0.0451929
+0.0432311
+0.0412923
+0.03938
+0.0374937
+0.0356356
+0.0338172
+0.0320372
+0.030308
+0.028642
+0.0270266
+0.0254661
+0.0240002
+0.0225861
+0.0209109
+0.0193248
+0.0178606
+0.0165159
+0.0151872
+0.0139821
+0.0126185
+0.010782
+0.00895978
+0.00724791
+0.00575226
+0.00472569
+0.00443368
+0.00508338
+0.00633748
+0.00797832
+0.00982129
+0.0116088
+0.0132438
+0.0149913
+0.0167149
+0.0145557
+0.0124076
+0.0102702
+0.00814493
+0.00606623
+0.00400162
+0.00203139
+0.000243987
+-0.000430697
+-0.000296769
+0.000206024
+0.00104529
+0.00133651
+0.00218578
+0.00309199
+0.00415357
+0.00564913
+0.00721808
+0.00897763
+0.0108776
+0.0128702
+0.0149185
+0.0169727
+0.0189411
+0.0209127
+0.0229238
+0.024953
+0.0270074
+0.0290818
+0.031172
+0.0332752
+0.0353878
+0.0369714
+0.0369594
+0.0370771
+0.0373231
+0.0376952
+0.0381894
+0.0388012
+0.039516
+0.0403331
+0.0469959
+0.0465003
+0.0461035
+0.0457964
+0.0455841
+0.0454764
+0.0454742
+0.0455774
+0.0457852
+0.0460964
+0.0465021
+0.0469933
+0.0475804
+0.04826
+0.049028
+0.0495579
+0.0495128
+0.0495645
+0.0497128
+0.0499568
+0.0502952
+0.0507161
+0.0489167
+0.0469061
+0.0449123
+0.0429376
+0.040985
+0.0390576
+0.0371594
+0.0352951
+0.033469
+0.0316694
+0.029919
+0.02823
+0.0265897
+0.025002
+0.0235072
+0.0221133
+0.020458
+0.0188539
+0.0173534
+0.0159661
+0.01472
+0.0135759
+0.0125699
+0.0117112
+0.0103364
+0.00879879
+0.00755407
+0.00676482
+0.00653811
+0.00702348
+0.00800173
+0.0093781
+0.0110135
+0.0127913
+0.0143469
+0.0159742
+0.0165127
+0.0143231
+0.0121339
+0.00994532
+0.00775798
+0.0055733
+0.00339634
+0.00124949
+-0.000839965
+-0.0016203
+-0.00146072
+-0.000824898
+-2.40399e-05
+-0.000396705
+0.000414949
+0.0013625
+0.0026919
+0.00425977
+0.00613034
+0.00808428
+0.0101355
+0.0122352
+0.0142467
+0.0162633
+0.0182442
+0.0202683
+0.022324
+0.0244031
+0.0265002
+0.0286111
+0.0307252
+0.0328462
+0.0349757
+0.0371123
+0.0382293
+0.038343
+0.0385811
+0.0389411
+0.0394197
+0.0400127
+0.0407051
+0.0414987
+0.0484725
+0.0479921
+0.0476078
+0.0473063
+0.0471008
+0.0469966
+0.0469945
+0.0470943
+0.0472955
+0.0475968
+0.0479952
+0.0484714
+0.0490409
+0.0497004
+0.0504465
+0.0512755
+0.0515055
+0.0515552
+0.0516978
+0.0519325
+0.0522581
+0.050788
+0.0487561
+0.0467385
+0.0447373
+0.0427546
+0.0407931
+0.0388562
+0.0369477
+0.0350721
+0.0332352
+0.0314396
+0.0296869
+0.027984
+0.0263285
+0.0247239
+0.0232112
+0.0217983
+0.0202093
+0.0185837
+0.0170654
+0.0156925
+0.0144619
+0.0132995
+0.0123858
+0.0116787
+0.0112312
+0.0105222
+0.00950593
+0.00885466
+0.00868269
+0.00905381
+0.00987344
+0.0110184
+0.0124469
+0.0140728
+0.0156308
+0.0171794
+0.0165758
+0.0144004
+0.0122232
+0.010052
+0.0078915
+0.00574955
+0.0036293
+0.0015538
+-0.000411333
+-0.00192952
+-0.0026413
+-0.00199589
+-0.00103156
+-0.00124388
+-0.000785699
+0.000329979
+0.00157009
+0.00344991
+0.00548489
+0.00760659
+0.00969226
+0.011706
+0.0137183
+0.0157147
+0.0177553
+0.0198216
+0.0219111
+0.0240187
+0.02614
+0.0282718
+0.0304079
+0.0325495
+0.0346973
+0.0368501
+0.0390071
+0.0396884
+0.0399184
+0.0402665
+0.0407295
+0.0413038
+0.0419748
+0.0427449
+0.0500015
+0.049536
+0.0491636
+0.0488678
+0.0486689
+0.0485681
+0.048566
+0.0486626
+0.0488574
+0.0491491
+0.0495361
+0.0500018
+0.050554
+0.0511941
+0.0519188
+0.0527246
+0.0535137
+0.0535616
+0.0536989
+0.0539249
+0.0527749
+0.050728
+0.0486936
+0.0466733
+0.0446691
+0.0426833
+0.0407184
+0.0387778
+0.0368652
+0.0349852
+0.0331434
+0.0313426
+0.0295849
+0.0278885
+0.026248
+0.0246382
+0.0231199
+0.021701
+0.0201804
+0.0185698
+0.0170502
+0.015676
+0.0144563
+0.01335
+0.01244
+0.0117451
+0.0112875
+0.0110252
+0.0111158
+0.0109839
+0.0108457
+0.0111451
+0.0118485
+0.0128243
+0.0140115
+0.0149823
+0.0161395
+0.0174789
+0.0167274
+0.0145966
+0.0124833
+0.0104021
+0.00832229
+0.00622773
+0.0042267
+0.00236683
+0.00071568
+6.29692e-06
+-0.000555518
+-0.000499723
+-5.95796e-05
+-0.00101375
+-0.00105462
+-5.41175e-05
+0.00123692
+0.00307667
+0.00518206
+0.00730405
+0.00936981
+0.0113662
+0.0133669
+0.0154088
+0.0174782
+0.0195728
+0.0216863
+0.0238138
+0.0259518
+0.0280979
+0.0302463
+0.0323986
+0.0345557
+0.0367168
+0.0388812
+0.0410484
+0.0413287
+0.041665
+0.0421127
+0.0426683
+0.0433182
+0.0440648
+0.0515783
+0.0511271
+0.0507626
+0.0504761
+0.0502836
+0.050186
+0.050184
+0.0502775
+0.050466
+0.0507485
+0.0511233
+0.0515799
+0.0521154
+0.0527365
+0.0534403
+0.0542235
+0.0550827
+0.0555819
+0.0557142
+0.054865
+0.0528082
+0.0507626
+0.0487296
+0.0467109
+0.0447084
+0.0427243
+0.0407615
+0.038823
+0.0369127
+0.0350353
+0.0331963
+0.0313985
+0.0296441
+0.0279514
+0.026327
+0.0247417
+0.0232294
+0.0218135
+0.0203586
+0.0188053
+0.0173145
+0.0159631
+0.0147671
+0.013695
+0.0128092
+0.0121172
+0.011623
+0.0114239
+0.0115158
+0.011779
+0.0117745
+0.0120508
+0.0126547
+0.0133732
+0.0142017
+0.0151603
+0.0163049
+0.0176317
+0.0171226
+0.0150196
+0.0129456
+0.0109078
+0.00892575
+0.0069939
+0.00511764
+0.00353905
+0.00235684
+0.0021229
+0.00156819
+0.00160143
+0.00186825
+0.00111676
+0.000906716
+0.00116447
+0.0018638
+0.00343991
+0.0053504
+0.00741645
+0.00939354
+0.0113573
+0.0133593
+0.0154022
+0.0174724
+0.0195676
+0.0216816
+0.0238095
+0.0259479
+0.0280943
+0.0302429
+0.0323955
+0.0345528
+0.0367141
+0.0388786
+0.041046
+0.0428047
+0.0431295
+0.0435621
+0.0440995
+0.0447286
+0.0454521
+0.0531986
+0.0527613
+0.0524043
+0.0521269
+0.0519404
+0.051846
+0.051844
+0.0519345
+0.0521171
+0.0523906
+0.0527538
+0.0532014
+0.0537207
+0.0543235
+0.055007
+0.0557682
+0.056604
+0.0575111
+0.0570467
+0.0549843
+0.0529321
+0.0508915
+0.0488639
+0.046851
+0.0448547
+0.0428775
+0.0409219
+0.0389914
+0.0370898
+0.0352218
+0.0333931
+0.0316065
+0.0298643
+0.0281848
+0.0265748
+0.0250053
+0.02351
+0.0221118
+0.0207543
+0.0192462
+0.0178071
+0.0164999
+0.0153865
+0.0143493
+0.0134874
+0.0128188
+0.012325
+0.0121378
+0.0122244
+0.0125067
+0.012517
+0.0127772
+0.0132025
+0.0138801
+0.0146836
+0.0156158
+0.0167365
+0.0180116
+0.0176603
+0.0156296
+0.0136486
+0.0117256
+0.00983048
+0.00801379
+0.00641257
+0.00513216
+0.00436761
+0.00424038
+0.00371614
+0.00370196
+0.00383718
+0.00324021
+0.00298746
+0.00312459
+0.00352736
+0.0046562
+0.00629465
+0.00812893
+0.00988098
+0.0117636
+0.0137064
+0.0157043
+0.0177392
+0.0198062
+0.0218972
+0.024006
+0.0261283
+0.028261
+0.0303979
+0.0325401
+0.0346885
+0.0368418
+0.0389993
+0.0411602
+0.0433242
+0.0446534
+0.0450714
+0.045591
+0.0461998
+0.0469006
+0.0548585
+0.0544345
+0.0540849
+0.0538162
+0.0536356
+0.0535442
+0.0535423
+0.0536299
+0.0538067
+0.0540717
+0.0544237
+0.0548609
+0.0553662
+0.0559513
+0.0566151
+0.0573549
+0.0581679
+0.0590511
+0.0572454
+0.0551903
+0.0531461
+0.0511141
+0.0490957
+0.0470927
+0.0451071
+0.0431414
+0.0411984
+0.0392814
+0.0373901
+0.0355333
+0.0337166
+0.0319468
+0.0302323
+0.0285823
+0.0269986
+0.0254554
+0.0239882
+0.0226194
+0.0213372
+0.0198734
+0.0185341
+0.017282
+0.0162259
+0.0152381
+0.0144337
+0.0137479
+0.0133125
+0.0131593
+0.0132003
+0.0134928
+0.0135313
+0.0137207
+0.014036
+0.0146752
+0.0153935
+0.0162698
+0.0173483
+0.0186012
+0.0184435
+0.0164927
+0.0145858
+0.0127702
+0.0110025
+0.00936567
+0.00798908
+0.0070007
+0.00647563
+0.00636397
+0.00588066
+0.00582395
+0.0059117
+0.00537236
+0.00510154
+0.00519141
+0.00548388
+0.00635836
+0.0076561
+0.00914318
+0.0107431
+0.0125123
+0.0143428
+0.0162627
+0.0182437
+0.0202679
+0.0223236
+0.0243984
+0.0264893
+0.0285951
+0.0307087
+0.0328307
+0.0349612
+0.0370987
+0.039242
+0.0413903
+0.0435429
+0.045699
+0.0466349
+0.0471372
+0.0477263
+0.048405
+0.0565546
+0.0561434
+0.055801
+0.0555405
+0.0553656
+0.055277
+0.0552752
+0.0553601
+0.0555313
+0.0557882
+0.0561294
+0.0565535
+0.0570484
+0.0576164
+0.0582612
+0.0589804
+0.0597713
+0.0595582
+0.057504
+0.0554604
+0.0534283
+0.0514094
+0.049405
+0.0474171
+0.0454479
+0.0434999
+0.0415702
+0.0396671
+0.0377951
+0.0359592
+0.0341652
+0.0324199
+0.0307317
+0.0291102
+0.0275591
+0.0260823
+0.0246525
+0.023306
+0.0220509
+0.0207144
+0.0194515
+0.018273
+0.0172635
+0.0163546
+0.0155662
+0.0149285
+0.0145513
+0.0144001
+0.0144364
+0.0147043
+0.0147435
+0.014798
+0.0151162
+0.015688
+0.0163195
+0.0171636
+0.0182047
+0.0193984
+0.0193752
+0.0175077
+0.015724
+0.013995
+0.0123837
+0.0109553
+0.00978411
+0.00898579
+0.008561
+0.00844209
+0.00804796
+0.00798189
+0.00804586
+0.00747096
+0.00725962
+0.00728119
+0.00756981
+0.0082311
+0.00929022
+0.0105183
+0.0119353
+0.0135413
+0.0152558
+0.0170765
+0.0189728
+0.0209265
+0.0229232
+0.0249525
+0.027007
+0.0290813
+0.0311708
+0.0332633
+0.0353677
+0.037482
+0.0396046
+0.0417343
+0.0438699
+0.0460108
+0.0481561
+0.0487328
+0.0493029
+0.0499602
+0.0582836
+0.0578836
+0.0575492
+0.0572967
+0.0571272
+0.0570413
+0.0570395
+0.0571218
+0.0572878
+0.0575368
+0.0578677
+0.0582792
+0.0587641
+0.0593156
+0.0599422
+0.0606415
+0.061411
+0.0598779
+0.0578351
+0.0558036
+0.0537845
+0.0517794
+0.04979
+0.0478181
+0.0458661
+0.0439367
+0.0420328
+0.0401582
+0.0383171
+0.0365118
+0.0347463
+0.0330304
+0.0313675
+0.0297728
+0.0282582
+0.0268371
+0.0254705
+0.0241491
+0.0229401
+0.0217444
+0.0205449
+0.0194461
+0.0184875
+0.0176456
+0.0168648
+0.016278
+0.0159261
+0.015835
+0.0158581
+0.0161013
+0.0160628
+0.0160944
+0.0163874
+0.0168641
+0.0174615
+0.0182529
+0.0192312
+0.0203773
+0.0204761
+0.0187188
+0.0170253
+0.0154195
+0.0139734
+0.0126954
+0.0116872
+0.0110045
+0.010646
+0.0105486
+0.0101674
+0.0101315
+0.0100869
+0.00961074
+0.00943256
+0.0093805
+0.00964069
+0.0101857
+0.0110739
+0.012095
+0.0133457
+0.0148155
+0.0164034
+0.018112
+0.0199153
+0.0217851
+0.0237096
+0.0256767
+0.0276775
+0.0297051
+0.0317543
+0.0338213
+0.035903
+0.037988
+0.0400839
+0.0421893
+0.0443031
+0.0464239
+0.048551
+0.0503732
+0.0509249
+0.0515615
+0.0600428
+0.0596513
+0.0593269
+0.059082
+0.0589176
+0.0588343
+0.0588326
+0.0589124
+0.0590733
+0.0593148
+0.0596359
+0.0600352
+0.0605103
+0.0610462
+0.0616552
+0.0623352
+0.0623154
+0.0602756
+0.0582468
+0.0562301
+0.054227
+0.0522389
+0.0502676
+0.0483152
+0.0463842
+0.0444772
+0.0425975
+0.0407488
+0.0389357
+0.0371633
+0.0354377
+0.0337532
+0.0321277
+0.0305727
+0.0290998
+0.0277218
+0.0264235
+0.0251552
+0.023997
+0.0229096
+0.0217731
+0.0207631
+0.0198783
+0.0190978
+0.0183216
+0.0177829
+0.0174683
+0.0173852
+0.0174156
+0.0176383
+0.0175401
+0.0175691
+0.0178379
+0.0182094
+0.0187645
+0.0195281
+0.0204359
+0.021518
+0.0217426
+0.0200699
+0.018476
+0.0170077
+0.0156784
+0.0145475
+0.013673
+0.0130649
+0.0127562
+0.0126836
+0.0123118
+0.0122822
+0.0121612
+0.0117693
+0.0115729
+0.0115096
+0.0117081
+0.0121949
+0.0129482
+0.0138333
+0.0149391
+0.0162663
+0.0177483
+0.0193385
+0.0210368
+0.0228149
+0.0246591
+0.0265561
+0.0284952
+0.0304684
+0.0324695
+0.0344937
+0.0365371
+0.0385966
+0.0406691
+0.0427519
+0.0448392
+0.0469358
+0.0490407
+0.0511528
+0.0525882
+0.053138
+0.0618296
+0.0614462
+0.0611314
+0.0608937
+0.0607342
+0.0606535
+0.0606518
+0.0607292
+0.0608853
+0.0611197
+0.0614313
+0.061819
+0.0622814
+0.0628055
+0.0633976
+0.0640591
+0.0627742
+0.0607498
+0.0587374
+0.0567381
+0.0547535
+0.0527853
+0.0508352
+0.0489055
+0.0469987
+0.0451177
+0.0432658
+0.041447
+0.0396658
+0.0379275
+0.0362383
+0.0345929
+0.0330087
+0.0314973
+0.0300696
+0.0287382
+0.0275024
+0.0262756
+0.025169
+0.0241823
+0.023134
+0.022186
+0.0213896
+0.0206109
+0.0198937
+0.0193988
+0.0191102
+0.0190467
+0.0190932
+0.0192966
+0.0191326
+0.0191591
+0.0194224
+0.0197057
+0.0202198
+0.0209469
+0.0217895
+0.0228121
+0.0231139
+0.0215386
+0.0200613
+0.0186915
+0.0174812
+0.0164746
+0.0156918
+0.0151619
+0.014882
+0.0148226
+0.01447
+0.0144448
+0.0142704
+0.0139322
+0.0137237
+0.0136493
+0.0138125
+0.0142576
+0.0148772
+0.0156646
+0.0166492
+0.0178497
+0.0192257
+0.0207245
+0.0223176
+0.024001
+0.0257605
+0.0275817
+0.0294534
+0.0313664
+0.0333136
+0.0352894
+0.0372892
+0.0393094
+0.0413462
+0.0433967
+0.0454602
+0.0475351
+0.04962
+0.0517106
+0.0535763
+0.053934
+0.0636416
+0.0632661
+0.0629603
+0.0627296
+0.0625748
+0.0624964
+0.0624948
+0.0625699
+0.0627215
+0.062949
+0.0632516
+0.0636282
+0.0640776
+0.0645912
+0.0651671
+0.0653196
+0.0633055
+0.0612986
+0.0593048
+0.0573254
+0.0553619
+0.053416
+0.0514898
+0.0495856
+0.047706
+0.045854
+0.0440331
+0.0422473
+0.0405014
+0.0388005
+0.037151
+0.0355479
+0.0340082
+0.0325433
+0.0311635
+0.0298809
+0.0286619
+0.0275208
+0.0264662
+0.0255298
+0.0246149
+0.0237262
+0.0229622
+0.0222348
+0.0215741
+0.0211185
+0.0208451
+0.0207871
+0.0208626
+0.0210032
+0.0208096
+0.020834
+0.0210506
+0.0213188
+0.0217949
+0.0224753
+0.0232657
+0.024226
+0.0245957
+0.0231218
+0.0217253
+0.02046
+0.0193606
+0.0184562
+0.0177504
+0.0172821
+0.0170243
+0.0169439
+0.0166364
+0.0165508
+0.0164009
+0.0160694
+0.0158853
+0.015799
+0.0159402
+0.0163537
+0.0168702
+0.0175706
+0.0184571
+0.0195469
+0.0208109
+0.0222195
+0.0237319
+0.0253214
+0.026995
+0.0287381
+0.030539
+0.0323879
+0.0342772
+0.0362004
+0.0381525
+0.0401292
+0.0421264
+0.0441406
+0.0461709
+0.0482153
+0.050272
+0.0523395
+0.0544167
+0.0548061
+0.0654768
+0.0651089
+0.0648118
+0.0645877
+0.0644373
+0.0643612
+0.0643596
+0.0644326
+0.0645798
+0.0648007
+0.0650947
+0.0654608
+0.0658976
+0.0664011
+0.0669615
+0.0658751
+0.0639075
+0.0619202
+0.059947
+0.0579895
+0.0560493
+0.0541281
+0.0522282
+0.0503519
+0.048502
+0.0466816
+0.0448943
+0.0431442
+0.041436
+0.0397752
+0.0381678
+0.0366092
+0.0351161
+0.0336994
+0.032369
+0.0311231
+0.0299371
+0.028865
+0.0278755
+0.026988
+0.0261866
+0.0253525
+0.0246262
+0.0239338
+0.0233392
+0.0229159
+0.0226591
+0.0226059
+0.0226933
+0.0227521
+0.0225749
+0.0225973
+0.0227425
+0.0230048
+0.0234466
+0.0240804
+0.0248475
+0.0257489
+0.0261771
+0.0247751
+0.0234698
+0.0223036
+0.0212996
+0.0204715
+0.0198373
+0.0194133
+0.0191775
+0.0190778
+0.0188052
+0.0186567
+0.0185454
+0.0182193
+0.018054
+0.0179585
+0.0180829
+0.0184682
+0.0189071
+0.0195345
+0.0203403
+0.0213341
+0.022498
+0.0238069
+0.0252385
+0.0267563
+0.0283453
+0.0300101
+0.0317389
+0.0335217
+0.0353504
+0.0372182
+0.0391195
+0.0410497
+0.0430042
+0.0449791
+0.0469732
+0.0489841
+0.0510098
+0.0530486
+0.0550991
+0.0557507
+0.0673314
+0.0669725
+0.0666838
+0.066466
+0.0663199
+0.0662459
+0.0662444
+0.0663152
+0.0664583
+0.066673
+0.0669588
+0.0673147
+0.0677396
+0.0682322
+0.0684574
+0.0664981
+0.0645536
+0.0626122
+0.0606616
+0.0587279
+0.0568128
+0.0549184
+0.0530468
+0.0512006
+0.0493824
+0.0475957
+0.0458441
+0.0441316
+0.0424632
+0.0408441
+0.0392754
+0.0377607
+0.0363149
+0.0349468
+0.0336658
+0.0324495
+0.0313138
+0.0302905
+0.0293745
+0.02854
+0.0278044
+0.0270422
+0.0263612
+0.0257073
+0.0251642
+0.0247722
+0.0245347
+0.0244856
+0.0245745
+0.0245719
+0.0244091
+0.0244299
+0.0245136
+0.0247698
+0.0251807
+0.0257718
+0.026499
+0.0273463
+0.0278281
+0.0264998
+0.0252837
+0.0242052
+0.0232833
+0.0225193
+0.0219444
+0.0215412
+0.0213289
+0.021221
+0.0209645
+0.0207775
+0.0206996
+0.0203779
+0.0202274
+0.0201249
+0.0202359
+0.0205809
+0.0209749
+0.0215422
+0.0222798
+0.0231907
+0.0242656
+0.025484
+0.0268262
+0.0282746
+0.0297956
+0.0313836
+0.0330406
+0.0347567
+0.0365236
+0.0383343
+0.0401828
+0.0420642
+0.0439736
+0.0459069
+0.0478623
+0.0498374
+0.0518297
+0.0538375
+0.055859
+0.0567641
+0.0692046
+0.0688555
+0.0685746
+0.0683629
+0.0682208
+0.0681489
+0.0681474
+0.0682163
+0.0683554
+0.0685642
+0.0688421
+0.0691883
+0.0696018
+0.0700813
+0.0691266
+0.0671868
+0.0652629
+0.0633562
+0.061446
+0.0595377
+0.0576496
+0.0557836
+0.0539421
+0.0521275
+0.0503429
+0.0485915
+0.046877
+0.0452038
+0.0435764
+0.0419909
+0.0404592
+0.0389904
+0.037592
+0.0362721
+0.0350391
+0.0338592
+0.0327724
+0.0317996
+0.0309275
+0.0301493
+0.0294682
+0.0287995
+0.0281523
+0.027541
+0.0270347
+0.0266791
+0.0264588
+0.026407
+0.0264923
+0.0264479
+0.026298
+0.0262873
+0.0263478
+0.0265893
+0.0269812
+0.0275338
+0.0282156
+0.0290128
+0.0295441
+0.0282892
+0.0271533
+0.026152
+0.0252966
+0.0245918
+0.0240585
+0.0236667
+0.0234737
+0.0233731
+0.0230857
+0.0229114
+0.0228456
+0.0225427
+0.0224042
+0.0222959
+0.0223962
+0.0227084
+0.0230655
+0.0235825
+0.0242622
+0.0251012
+0.0260975
+0.0272341
+0.0284939
+0.0298615
+0.0313228
+0.0328458
+0.0344325
+0.0360825
+0.0377875
+0.0395403
+0.041335
+0.0431662
+0.0450289
+0.0469187
+0.0488337
+0.0507709
+0.052728
+0.0547028
+0.0566935
+0.0578429
+0.0710959
+0.0707562
+0.0704829
+0.0702769
+0.0701387
+0.0700688
+0.0700673
+0.0701343
+0.0702696
+0.0704727
+0.0707432
+0.0710801
+0.0714826
+0.0717926
+0.0698581
+0.0679392
+0.0660372
+0.0641536
+0.06229
+0.0604162
+0.0585564
+0.0567203
+0.0549101
+0.0531287
+0.0513788
+0.049664
+0.0479879
+0.0463529
+0.0447561
+0.0432113
+0.0417245
+0.0403018
+0.0389506
+0.0376783
+0.0364808
+0.0353389
+0.034299
+0.0333652
+0.0325294
+0.0318226
+0.0311916
+0.0306128
+0.0299964
+0.0294235
+0.0289501
+0.0286267
+0.0284215
+0.0283649
+0.0284369
+0.0283692
+0.0282305
+0.0281764
+0.0282329
+0.0284584
+0.0288359
+0.0293535
+0.0299941
+0.0307452
+0.0313127
+0.0301316
+0.0290678
+0.0281347
+0.0273341
+0.0266832
+0.026163
+0.0258032
+0.0256262
+0.0255317
+0.0252171
+0.0250429
+0.0249604
+0.0247121
+0.0245748
+0.0244705
+0.0245619
+0.0248469
+0.025173
+0.0256477
+0.0262776
+0.0270542
+0.0279811
+0.029044
+0.0302285
+0.031521
+0.0329086
+0.03438
+0.0359025
+0.0374878
+0.0391316
+0.0408268
+0.0425672
+0.0443476
+0.0461633
+0.0480092
+0.0498823
+0.0517804
+0.0537007
+0.055641
+0.0575992
+0.0589832
+0.073004
+0.0726731
+0.0724071
+0.0722066
+0.0720721
+0.0720041
+0.0720026
+0.0720678
+0.0721995
+0.0723972
+0.0726605
+0.0729886
+0.0733806
+0.0725633
+0.07065
+0.0687531
+0.0668739
+0.0650124
+0.0631721
+0.0613548
+0.0595301
+0.0577249
+0.0559473
+0.0541999
+0.0524858
+0.0508083
+0.0491656
+0.0475623
+0.0460075
+0.0445062
+0.043064
+0.0416872
+0.0403823
+0.0391513
+0.0379847
+0.0368893
+0.0358944
+0.0349927
+0.0341967
+0.0335251
+0.032967
+0.0324726
+0.0318844
+0.031346
+0.0309022
+0.0306032
+0.0304153
+0.0303546
+0.0304045
+0.0303168
+0.0301983
+0.0301064
+0.0301593
+0.0303705
+0.0307347
+0.0312209
+0.031824
+0.0325329
+0.0331318
+0.0320179
+0.0310188
+0.0301454
+0.0293937
+0.0287765
+0.0282805
+0.027948
+0.0277847
+0.0276502
+0.0273558
+0.0271563
+0.0270803
+0.0268816
+0.0267435
+0.0266477
+0.0267317
+0.0269938
+0.0272937
+0.027732
+0.028319
+0.0290411
+0.0299065
+0.0309032
+0.0320191
+0.033242
+0.0345606
+0.0359644
+0.0374409
+0.0389637
+0.0405477
+0.0421861
+0.0438726
+0.0456021
+0.0473697
+0.0491714
+0.0510035
+0.0528614
+0.0547438
+0.0566483
+0.0585729
+0.0601818
+0.0749275
+0.0746052
+0.0743461
+0.0741508
+0.0740199
+0.0739536
+0.0739522
+0.0740157
+0.0741439
+0.0743365
+0.0745929
+0.0749125
+0.0752946
+0.0733914
+0.0714995
+0.0696239
+0.0677672
+0.0659309
+0.064117
+0.0623273
+0.0605639
+0.058794
+0.0570497
+0.0553372
+0.0536593
+0.0520108
+0.0504028
+0.0488401
+0.0473273
+0.0458692
+0.0444713
+0.0431393
+0.0418758
+0.0406798
+0.0395528
+0.0385021
+0.0375425
+0.0366789
+0.0359203
+0.0352815
+0.0347692
+0.0343188
+0.033809
+0.0333017
+0.0328843
+0.0326035
+0.0324314
+0.0323702
+0.0324007
+0.0322894
+0.0321698
+0.0320699
+0.0321196
+0.032318
+0.0326624
+0.033128
+0.0336962
+0.0343673
+0.0349935
+0.0339407
+0.033
+0.0321742
+0.0314707
+0.0308702
+0.0304085
+0.0300994
+0.0299478
+0.0297787
+0.0295019
+0.0292809
+0.0292103
+0.0290432
+0.0289156
+0.028827
+0.0289046
+0.0291472
+0.0294246
+0.0298317
+0.0303813
+0.0310554
+0.0318662
+0.0328034
+0.0338567
+0.0350155
+0.0362697
+0.0376098
+0.0390269
+0.0405044
+0.0420304
+0.0436131
+0.0452465
+0.0469253
+0.0486449
+0.050401
+0.05219
+0.0540086
+0.0558534
+0.0577213
+0.0596113
+0.0614351
+0.0768654
+0.0765512
+0.0762987
+0.0761084
+0.0759808
+0.0759163
+0.075915
+0.0759768
+0.0761017
+0.0762893
+0.0765392
+0.0768507
+0.076159
+0.0742721
+0.072402
+0.0705504
+0.0687187
+0.0669086
+0.0651219
+0.0633605
+0.0616267
+0.0599182
+0.0581991
+0.0565126
+0.0548618
+0.0532499
+0.0516806
+0.050158
+0.0486863
+0.0472703
+0.0459152
+0.0446266
+0.0433934
+0.0422331
+0.0411568
+0.0401599
+0.0392416
+0.0384161
+0.0376923
+0.0370841
+0.0365934
+0.0362026
+0.0357642
+0.0352797
+0.0348909
+0.0346268
+0.0344609
+0.0344034
+0.0344206
+0.0342886
+0.0341496
+0.0340604
+0.0341071
+0.034294
+0.0346188
+0.0350619
+0.0355977
+0.0362413
+0.0368914
+0.0358943
+0.0350061
+0.0342169
+0.0335431
+0.0329766
+0.0325447
+0.0322561
+0.0321147
+0.0319156
+0.0316322
+0.0314145
+0.0313255
+0.0312089
+0.0310902
+0.0310078
+0.0310801
+0.0313058
+0.0315638
+0.0319436
+0.0324604
+0.0330922
+0.0338542
+0.0347379
+0.0357342
+0.0368339
+0.0380282
+0.0393084
+0.0406664
+0.0420946
+0.0435728
+0.0451014
+0.0466827
+0.0483117
+0.0499836
+0.0516942
+0.05344
+0.0552174
+0.0570237
+0.058856
+0.060711
+0.0625873
+0.0788164
+0.0785101
+0.0782639
+0.0780784
+0.0779541
+0.0778912
+0.0778899
+0.0779501
+0.0780719
+0.0782547
+0.0784984
+0.0788022
+0.0770694
+0.0752051
+0.0733588
+0.071532
+0.0697261
+0.0679428
+0.066184
+0.0644517
+0.0627481
+0.0610754
+0.0593898
+0.0577381
+0.0561233
+0.0545488
+0.0530179
+0.0515348
+0.0501036
+0.0487288
+0.0474155
+0.0461554
+0.0449596
+0.0438408
+0.0428049
+0.0418582
+0.0409874
+0.0401975
+0.0395064
+0.0389265
+0.0384501
+0.0380825
+0.0377344
+0.0372648
+0.036902
+0.0366629
+0.0365073
+0.036453
+0.0364601
+0.0363098
+0.036149
+0.0360639
+0.036108
+0.0362846
+0.0365918
+0.0370223
+0.0375302
+0.038149
+0.0388201
+0.0378739
+0.0370187
+0.036265
+0.0356283
+0.0350933
+0.0346877
+0.0344171
+0.0342846
+0.0340594
+0.0337594
+0.0335555
+0.0334504
+0.0333778
+0.0332642
+0.0331885
+0.0332572
+0.0334685
+0.0337095
+0.0340654
+0.0345533
+0.0351475
+0.0358659
+0.0367011
+0.0376455
+0.038691
+0.0398296
+0.0410536
+0.0423557
+0.0437288
+0.0451664
+0.0466451
+0.0481758
+0.0497559
+0.0513808
+0.0530465
+0.0547491
+0.0564854
+0.0582523
+0.0600471
+0.0618675
+0.0637109
+0.0807798
+0.0804809
+0.0802408
+0.0800599
+0.0799386
+0.0798773
+0.079876
+0.0799348
+0.0800535
+0.0802319
+0.0804695
+0.079889
+0.0780305
+0.0761897
+0.0743679
+0.0725664
+0.0707869
+0.0690311
+0.0673008
+0.065598
+0.0639249
+0.0622839
+0.0606363
+0.0590195
+0.0574408
+0.0559033
+0.0544106
+0.0529665
+0.051575
+0.0502405
+0.0489577
+0.0477316
+0.0465763
+0.0454973
+0.0445
+0.04359
+0.0427689
+0.0420165
+0.0413558
+0.0408022
+0.0403403
+0.0399901
+0.0397151
+0.0392688
+0.0389215
+0.0386948
+0.0385674
+0.0384918
+0.0385163
+0.0383497
+0.0381695
+0.0380874
+0.0381292
+0.0382964
+0.0385876
+0.0389997
+0.0394896
+0.0400835
+0.0407666
+0.0398644
+0.0390427
+0.0383288
+0.0377242
+0.0372185
+0.0368364
+0.0365817
+0.0364546
+0.0361847
+0.0358942
+0.0356933
+0.0355834
+0.0355495
+0.0354381
+0.035367
+0.0354315
+0.0356309
+0.0358607
+0.0361954
+0.0366576
+0.0372182
+0.0378974
+0.0386888
+0.0395858
+0.0405813
+0.0416683
+0.0428398
+0.0440892
+0.0454099
+0.0467959
+0.048239
+0.0497206
+0.0512531
+0.052832
+0.0544533
+0.0561132
+0.0578085
+0.0595362
+0.0612935
+0.0630779
+0.0648872
+0.0827546
+0.0824629
+0.0822285
+0.082052
+0.0819337
+0.0818738
+0.0818726
+0.0819299
+0.0820458
+0.0822198
+0.0824517
+0.0808759
+0.0790407
+0.0772239
+0.0754271
+0.0736516
+0.0718989
+0.0701709
+0.0684694
+0.0667964
+0.0651541
+0.0635449
+0.0619326
+0.0603503
+0.0588072
+0.0573062
+0.0558509
+0.0544448
+0.0530919
+0.0517937
+0.0505414
+0.0493547
+0.0482383
+0.0471973
+0.0462367
+0.0453604
+0.0445716
+0.0438523
+0.0432251
+0.0426958
+0.0422596
+0.0419253
+0.0417037
+0.0412891
+0.0409585
+0.0407432
+0.0406168
+0.0405451
+0.0405769
+0.0403834
+0.0402074
+0.0401284
+0.0401681
+0.0403269
+0.0406035
+0.0409954
+0.0414722
+0.0420365
+0.0426881
+0.0418655
+0.0410839
+0.0404061
+0.0398292
+0.0393504
+0.038989
+0.0387482
+0.0386036
+0.0383113
+0.0380354
+0.0378266
+0.0377229
+0.0377233
+0.037614
+0.037547
+0.0376078
+0.0377956
+0.0380164
+0.0383323
+0.0387696
+0.039302
+0.0399457
+0.0406973
+0.041551
+0.0425005
+0.0435396
+0.0446621
+0.0458618
+0.0471329
+0.0484696
+0.0498669
+0.0513125
+0.0527988
+0.0543328
+0.0559105
+0.0575284
+0.0591832
+0.0608719
+0.0625917
+0.0643401
+0.0661149
+0.08474
+0.0844551
+0.0842263
+0.084054
+0.0839385
+0.0838801
+0.0838789
+0.0839348
+0.0840479
+0.0842178
+0.0837393
+0.0819096
+0.080098
+0.0783058
+0.0765344
+0.0747851
+0.0730597
+0.0713598
+0.0696873
+0.0680442
+0.0664328
+0.0648553
+0.063272
+0.0617242
+0.0602162
+0.0587513
+0.0573326
+0.0559638
+0.0546485
+0.0533832
+0.0521691
+0.0510203
+0.0499411
+0.0489363
+0.0480105
+0.0471652
+0.0464071
+0.0457167
+0.0451208
+0.0446157
+0.044204
+0.0438846
+0.0436729
+0.0433255
+0.0430106
+0.0428056
+0.0426776
+0.0426094
+0.0426345
+0.0424284
+0.0422602
+0.0421845
+0.0422222
+0.0423733
+0.0426366
+0.04301
+0.0434748
+0.0440117
+0.0446345
+0.0438847
+0.0431397
+0.0424947
+0.0419414
+0.0414868
+0.0411439
+0.0409052
+0.0407548
+0.0404447
+0.0401819
+0.0399662
+0.039868
+0.0398901
+0.0397914
+0.0397281
+0.0397856
+0.0399632
+0.0401758
+0.0404749
+0.0408893
+0.0413968
+0.0420084
+0.0427237
+0.0435377
+0.0444448
+0.0454394
+0.0465161
+0.0476692
+0.0488933
+0.0501832
+0.051534
+0.052941
+0.0543887
+0.0558791
+0.0574144
+0.0589911
+0.060606
+0.062256
+0.0639386
+0.0656512
+0.0673914
+0.0867352
+0.086457
+0.0862335
+0.0860652
+0.0859524
+0.0858953
+0.0858941
+0.0859488
+0.0860592
+0.0862252
+0.0847946
+0.0829882
+0.0812007
+0.0794334
+0.0776876
+0.075965
+0.0742669
+0.0725953
+0.070952
+0.0693389
+0.0677582
+0.0662098
+0.064658
+0.0631441
+0.0616709
+0.0602414
+0.0588587
+0.0575261
+0.0562474
+0.055014
+0.0538367
+0.0527242
+0.0516807
+0.0507104
+0.0498166
+0.0490016
+0.0482723
+0.047609
+0.0470371
+0.0465594
+0.0461706
+0.0458649
+0.0456623
+0.0453764
+0.0450758
+0.0448802
+0.044746
+0.0446809
+0.0447047
+0.0444873
+0.0443259
+0.0442535
+0.0442894
+0.0444335
+0.0446847
+0.0450411
+0.0454947
+0.0460064
+0.0466025
+0.0459196
+0.0452082
+0.0445931
+0.04406
+0.0436274
+0.0432952
+0.0430569
+0.0429099
+0.042584
+0.0423174
+0.0421109
+0.0420178
+0.0420388
+0.0419703
+0.0419103
+0.0419647
+0.0421331
+0.0423385
+0.0426224
+0.0430162
+0.043501
+0.0440834
+0.0447656
+0.0455431
+0.046411
+0.0473644
+0.0483983
+0.0495075
+0.0506873
+0.0519326
+0.053239
+0.0546021
+0.0560177
+0.0574674
+0.0589613
+0.0604977
+0.0620734
+0.0636855
+0.0653312
+0.0670082
+0.0687141
+0.0887397
+0.0884678
+0.0882493
+0.0880849
+0.0879747
+0.087919
+0.0879178
+0.0879712
+0.0880791
+0.0876942
+0.0858929
+0.08411
+0.0823469
+0.0806047
+0.0788849
+0.0771889
+0.0755185
+0.0738752
+0.0722609
+0.0706777
+0.0691277
+0.0676065
+0.0660876
+0.0646072
+0.0631681
+0.0617732
+0.0604255
+0.0591284
+0.0578849
+0.0566826
+0.0555407
+0.054463
+0.0534534
+0.0525159
+0.0516515
+0.050866
+0.0501638
+0.0495258
+0.0489764
+0.0485197
+0.0481532
+0.0478634
+0.0476694
+0.0474397
+0.0471523
+0.0469654
+0.0468254
+0.0467632
+0.0467859
+0.0465583
+0.0464028
+0.0463336
+0.046368
+0.0465056
+0.0467456
+0.0470865
+0.0475259
+0.0480181
+0.0485896
+0.0479683
+0.0472876
+0.0466969
+0.0461852
+0.0457701
+0.0454395
+0.0452103
+0.0450535
+0.0447282
+0.0444567
+0.0442602
+0.0441716
+0.0441915
+0.0441503
+0.0440932
+0.044145
+0.0443051
+0.0445039
+0.0447741
+0.0451491
+0.0456134
+0.0461692
+0.046821
+0.0475649
+0.0483965
+0.0493116
+0.0503054
+0.0513735
+0.0525113
+0.0537144
+0.0549785
+0.0562995
+0.0576735
+0.0590942
+0.060548
+0.0620451
+0.0635825
+0.0651572
+0.0667667
+0.0684085
+0.0700803
+0.0894117
+0.0874783
+0.0855573
+0.0836496
+0.0817561
+0.0798777
+0.0780157
+0.0761711
+0.0743425
+0.0725313
+0.0707415
+0.0689749
+0.0672333
+0.0655186
+0.063833
+0.0621745
+0.0605496
+0.0589615
+0.0574129
+0.0559074
+0.0544456
+0.0530313
+0.0516713
+0.0503672
+0.049121
+0.0479425
+0.0468369
+0.0457942
+0.0448237
+0.0439412
+0.0431519
+0.0424611
+0.0418737
+0.041394
+0.0410258
+0.0407712
+0.0406117
+0.0405697
+0.0406459
+0.0408396
+0.0411492
+0.0415721
+0.0421049
+0.0427434
+0.0434377
+0.0441186
+0.0448962
+0.0457655
+0.0466892
+0.0476914
+0.0487715
+0.0499233
+0.0511306
+0.0524016
+0.053732
+0.0551173
+0.056517
+0.0577225
+0.0589747
+0.0602806
+0.0616366
+0.0630397
+0.0644596
+0.0659149
+0.0674099
+0.0688759
+0.0703704
+0.0718947
+0.0734461
+0.0745209
+0.0742811
+0.0741053
+0.073994
+0.0739272
+0.0739204
+0.0739786
+0.0741014
+0.0742887
+0.0745388
+0.0747357
+0.0749773
+0.0752818
+0.0756486
+0.0760768
+0.0765652
+0.0771128
+0.0777131
+0.0783516
+0.0790456
+0.0797867
+0.0805759
+0.0814165
+0.0823068
+0.0832452
+0.0842302
+0.0852601
+0.086323
+0.0874062
+0.0885305
+0.0896941
+0.088458
+0.0865033
+0.0845601
+0.0826294
+0.0807119
+0.0788087
+0.0769207
+0.0750492
+0.0731955
+0.0713608
+0.0695453
+0.0677477
+0.0659737
+0.0642253
+0.0625049
+0.0608147
+0.0591538
+0.0575271
+0.0559389
+0.0543926
+0.0528918
+0.0514405
+0.0500399
+0.0486922
+0.0474019
+0.0461796
+0.0450307
+0.0439605
+0.0429486
+0.0420267
+0.0412008
+0.0404767
+0.03986
+0.0393558
+0.0389683
+0.0387011
+0.0385345
+0.0384902
+0.0385705
+0.0387746
+0.0391006
+0.0395454
+0.0401051
+0.0407627
+0.0413717
+0.042086
+0.0429005
+0.0437929
+0.0447528
+0.0457974
+0.0469211
+0.048108
+0.0493597
+0.0506752
+0.0520497
+0.0534727
+0.054685
+0.0559194
+0.0572111
+0.0585563
+0.0599514
+0.06137
+0.0628204
+0.0643128
+0.0657835
+0.0672754
+0.0687992
+0.0703507
+0.0719355
+0.0732472
+0.0730032
+0.0728244
+0.0727096
+0.0726397
+0.0726328
+0.072692
+0.072817
+0.0728923
+0.0730213
+0.0732157
+0.0734749
+0.0737872
+0.0741614
+0.0745981
+0.0750962
+0.0756544
+0.0762617
+0.0769122
+0.0776191
+0.0783739
+0.0791773
+0.0800325
+0.080938
+0.0818922
+0.0828932
+0.0839395
+0.0850156
+0.0861153
+0.0872562
+0.0884366
+0.0875486
+0.0855731
+0.0836084
+0.0816551
+0.0797142
+0.0777866
+0.0758732
+0.0739753
+0.0720939
+0.0702305
+0.0683864
+0.0665634
+0.0647627
+0.0629818
+0.0612264
+0.0594999
+0.0578049
+0.0561416
+0.0545131
+0.0529251
+0.0513815
+0.0498863
+0.048444
+0.0470591
+0.0457232
+0.0444547
+0.04326
+0.0421455
+0.0411046
+0.0401404
+0.0392748
+0.0385146
+0.0378659
+0.0373347
+0.0369261
+0.0366441
+0.0364705
+0.0364238
+0.0365086
+0.0367242
+0.0370682
+0.0375371
+0.0381233
+0.0386779
+0.0393192
+0.0400701
+0.0409247
+0.0418372
+0.0428409
+0.043931
+0.0450956
+0.0463251
+0.0476237
+0.0489858
+0.0503986
+0.0516545
+0.0528691
+0.0541449
+0.055478
+0.0568642
+0.0582813
+0.0597264
+0.0612158
+0.0626916
+0.0641806
+0.0657039
+0.0672555
+0.0688418
+0.0704605
+0.0720177
+0.0717695
+0.0715875
+0.0714627
+0.0713924
+0.0713763
+0.0713195
+0.0713299
+0.0713971
+0.0715288
+0.0717272
+0.0719917
+0.0723151
+0.0726969
+0.0731423
+0.0736503
+0.0742194
+0.0748463
+0.075509
+0.0762288
+0.0769976
+0.0778152
+0.0786852
+0.0796061
+0.080576
+0.0815932
+0.0826559
+0.0837452
+0.0848614
+0.0860189
+0.087216
+0.0866806
+0.0846895
+0.0827038
+0.0807286
+0.0787649
+0.0768134
+0.0748752
+0.0729513
+0.0710428
+0.069151
+0.0672774
+0.0654235
+0.063591
+0.0617819
+0.0599981
+0.0582378
+0.056505
+0.0548049
+0.0531393
+0.051509
+0.0499216
+0.0483813
+0.0468928
+0.0454612
+0.0440894
+0.0427725
+0.0415295
+0.0403671
+0.0392926
+0.0382865
+0.0373781
+0.0365784
+0.0358948
+0.035334
+0.0349019
+0.0346034
+0.0344196
+0.0343701
+0.03446
+0.0346883
+0.0350523
+0.0355383
+0.0360491
+0.0366054
+0.0372824
+0.0380736
+0.0389498
+0.0399059
+0.0409569
+0.0420953
+0.0432995
+0.0445786
+0.0459252
+0.0473276
+0.0486194
+0.0498246
+0.0510826
+0.0524019
+0.0537782
+0.0551936
+0.0566328
+0.0581189
+0.0596005
+0.0610862
+0.062609
+0.0641606
+0.0657486
+0.0673704
+0.0690178
+0.070687
+0.0705822
+0.0703924
+0.0702315
+0.0700368
+0.0699102
+0.0698522
+0.0698628
+0.0699386
+0.070073
+0.0702755
+0.0705455
+0.0708795
+0.0712689
+0.0717232
+0.0722411
+0.0728212
+0.0734622
+0.0741439
+0.0748769
+0.0756597
+0.0764916
+0.0773765
+0.0783127
+0.0792985
+0.0803318
+0.0814037
+0.0825046
+0.0836417
+0.0848159
+0.0860273
+0.0858487
+0.0838347
+0.0818299
+0.0798348
+0.0778502
+0.075877
+0.073916
+0.0719683
+0.070035
+0.0681172
+0.0662164
+0.064334
+0.0624717
+0.0606313
+0.0588127
+0.0570202
+0.0552565
+0.0535217
+0.0518164
+0.0501487
+0.0485168
+0.0469304
+0.0453944
+0.0439139
+0.0424949
+0.0411381
+0.0398442
+0.0386312
+0.037507
+0.03647
+0.0355151
+0.0346725
+0.0339505
+0.033357
+0.032899
+0.0325794
+0.0323792
+0.0323265
+0.032422
+0.0326646
+0.0330417
+0.0335006
+0.0339575
+0.0345476
+0.0352641
+0.0360973
+0.0369974
+0.0380027
+0.0391049
+0.040285
+0.0415414
+0.0428696
+0.0442605
+0.0455928
+0.0467872
+0.0480248
+0.0493287
+0.0506937
+0.0521072
+0.0535397
+0.0550221
+0.05651
+0.0579922
+0.0595143
+0.061066
+0.0626558
+0.064281
+0.0659308
+0.0676052
+0.0693083
+0.0693225
+0.0690266
+0.0687988
+0.0686094
+0.0684802
+0.0684209
+0.0684318
+0.0685127
+0.0686563
+0.068863
+0.0691385
+0.0694818
+0.0698797
+0.0703429
+0.0708709
+0.0714622
+0.0721152
+0.0728192
+0.0735654
+0.0743623
+0.0752085
+0.0761084
+0.07706
+0.0780615
+0.0790974
+0.0801692
+0.0812858
+0.0824359
+0.083627
+0.0848579
+0.0850371
+0.0830035
+0.0809781
+0.0789615
+0.0769544
+0.0749576
+0.072972
+0.0709983
+0.0690378
+0.0670916
+0.0651608
+0.063247
+0.0613517
+0.0594767
+0.057624
+0.0557958
+0.0539946
+0.0522232
+0.0504846
+0.0487825
+0.0471208
+0.0454968
+0.0439106
+0.0423784
+0.0409061
+0.0395005
+0.0381689
+0.0369194
+0.0357605
+0.0346878
+0.0336916
+0.0328022
+0.0320381
+0.0314085
+0.0309216
+0.0305731
+0.0303597
+0.0303034
+0.0304054
+0.0306551
+0.0310365
+0.0313922
+0.0318793
+0.0325071
+0.0332676
+0.0341224
+0.0350733
+0.0361321
+0.0372842
+0.0385139
+0.0398206
+0.0411979
+0.042561
+0.0437568
+0.0449726
+0.0462588
+0.047611
+0.0490223
+0.0504472
+0.0519255
+0.0534205
+0.0548987
+0.0564201
+0.0579718
+0.0595637
+0.0611925
+0.0628448
+0.0645249
+0.0662348
+0.0679724
+0.0678854
+0.0675832
+0.0673509
+0.0671772
+0.0670729
+0.0670172
+0.0670283
+0.0671109
+0.0672648
+0.0674891
+0.0677713
+0.0681217
+0.068529
+0.0690013
+0.0695395
+0.070142
+0.0708072
+0.0715333
+0.0722965
+0.0731075
+0.0739681
+0.0748828
+0.0758498
+0.0768425
+0.0778837
+0.078972
+0.0801049
+0.0812689
+0.0824748
+0.0837206
+0.0842748
+0.0822223
+0.0801771
+0.0781399
+0.0761111
+0.0740916
+0.0720821
+0.0700834
+0.0680966
+0.0661226
+0.0641627
+0.0622182
+0.0602906
+0.0583815
+0.0564929
+0.0546269
+0.0527858
+0.0509723
+0.0491896
+0.0474411
+0.0457307
+0.0440628
+0.0424372
+0.0408497
+0.0393203
+0.0378558
+0.0364642
+0.0351542
+0.0339351
+0.0328171
+0.0318109
+0.0309274
+0.0301635
+0.029494
+0.0289749
+0.0285939
+0.0283656
+0.0283054
+0.0284062
+0.0286503
+0.0289312
+0.0292958
+0.0298172
+0.0304875
+0.03129
+0.0321755
+0.0331822
+0.0342993
+0.0354985
+0.0367799
+0.0381412
+0.0395174
+0.0407223
+0.0419271
+0.0431928
+0.0445304
+0.0459336
+0.0473555
+0.0488291
+0.050332
+0.0518057
+0.0533263
+0.054878
+0.0564721
+0.0581049
+0.0597601
+0.0614464
+0.0631637
+0.0649088
+0.0666706
+0.0664825
+0.0661808
+0.0659436
+0.065768
+0.0656615
+0.0656279
+0.0656675
+0.0657523
+0.0659093
+0.0661386
+0.066436
+0.0667934
+0.0672203
+0.067704
+0.0682524
+0.0688662
+0.0695435
+0.0702827
+0.0710724
+0.0718976
+0.0727724
+0.0736914
+0.074648
+0.0756561
+0.0767134
+0.0778159
+0.0789549
+0.0801357
+0.0813583
+0.0826209
+0.0835629
+0.0814925
+0.0794285
+0.0773716
+0.0753221
+0.0732809
+0.0712485
+0.0692258
+0.0672136
+0.0652129
+0.0632248
+0.0612505
+0.0592914
+0.0573491
+0.0554254
+0.0535221
+0.0516416
+0.0497865
+0.0479598
+0.0461647
+0.0444051
+0.0426855
+0.0410107
+0.0393837
+0.0377949
+0.0362689
+0.034814
+0.0334393
+0.0321553
+0.0309732
+0.029905
+0.0289634
+0.0281611
+0.0275102
+0.0270218
+0.0266478
+0.0264026
+0.0263302
+0.0264123
+0.0265996
+0.0268215
+0.0272143
+0.0277748
+0.0284932
+0.0293187
+0.0302619
+0.0313301
+0.0324968
+0.0337496
+0.0350916
+0.036483
+0.0376982
+0.0388899
+0.0401319
+0.0414525
+0.0428444
+0.0442646
+0.0457329
+0.0472448
+0.0487134
+0.050233
+0.0517848
+0.0533813
+0.0550178
+0.0566768
+0.05837
+0.0600954
+0.0618469
+0.0636181
+0.0653586
+0.0650376
+0.0647662
+0.064567
+0.0644026
+0.0642938
+0.0642595
+0.0642999
+0.0644149
+0.0645997
+0.0648336
+0.0651404
+0.0655114
+0.0659467
+0.0664513
+0.0670123
+0.0676373
+0.0683268
+0.069079
+0.0698918
+0.0707348
+0.0716015
+0.0725196
+0.0734915
+0.0745152
+0.0755843
+0.0766941
+0.0778496
+0.0790469
+0.0802861
+0.0815653
+0.0829028
+0.0808155
+0.0787338
+0.0766582
+0.0745892
+0.0725273
+0.0704732
+0.0684275
+0.0663911
+0.0643649
+0.0623497
+0.0603469
+0.0583575
+0.056383
+0.0544251
+0.0524856
+0.0505666
+0.0486705
+0.0468002
+0.0449588
+0.0431501
+0.0413783
+0.0396484
+0.0379662
+0.0363377
+0.0347478
+0.0332263
+0.031783
+0.0304292
+0.0291772
+0.0280407
+0.0270342
+0.0261728
+0.0254712
+0.0249429
+0.0245799
+0.0243901
+0.0243635
+0.024429
+0.024486
+0.0247257
+0.0251513
+0.0257568
+0.0265161
+0.0273807
+0.0283884
+0.0295105
+0.0307327
+0.0320514
+0.0334576
+0.0346695
+0.0358594
+0.0370771
+0.0383777
+0.0397566
+0.0411749
+0.042637
+0.0441534
+0.0456218
+0.0471404
+0.0486921
+0.0502914
+0.0519311
+0.0535953
+0.055296
+0.0570302
+0.0587888
+0.0605702
+0.0623776
+0.0639199
+0.0635964
+0.063347
+0.0631542
+0.0630262
+0.0629726
+0.0629377
+0.0629789
+0.0630962
+0.0632892
+0.0635572
+0.0638881
+0.0642732
+0.0647174
+0.0652323
+0.0658112
+0.0664479
+0.06715
+0.0679155
+0.0687423
+0.0695869
+0.0704631
+0.0713958
+0.0723828
+0.0734158
+0.0744934
+0.0756192
+0.0767908
+0.0780044
+0.0792599
+0.0805555
+0.0822751
+0.0801796
+0.0780892
+0.0760013
+0.0739139
+0.0718326
+0.069758
+0.0676908
+0.0656315
+0.0635811
+0.0615403
+0.0595102
+0.0574918
+0.0554866
+0.0534958
+0.0515214
+0.049565
+0.0476291
+0.0457162
+0.0438294
+0.041972
+0.0401483
+0.0383629
+0.0366217
+0.034931
+0.0332987
+0.0317105
+0.0301949
+0.0287664
+0.0274386
+0.0262269
+0.0251479
+0.0242196
+0.0234596
+0.0228849
+0.0224959
+0.0222884
+0.0222952
+0.0223249
+0.0223873
+0.022648
+0.0231118
+0.0237693
+0.0245524
+0.0254837
+0.0265496
+0.0277338
+0.0290234
+0.0304163
+0.0316252
+0.0328259
+0.0340301
+0.0353071
+0.0366706
+0.0380865
+0.0395414
+0.0410558
+0.0425312
+0.0440479
+0.0456003
+0.0472026
+0.048845
+0.0505157
+0.0522249
+0.0539689
+0.055735
+0.0575276
+0.0593468
+0.0611905
+0.0625248
+0.062194
+0.0619293
+0.0617359
+0.0616199
+0.0615816
+0.0616212
+0.0617074
+0.0618271
+0.0620241
+0.0622918
+0.0626259
+0.0630344
+0.0635113
+0.0640496
+0.0646485
+0.0653058
+0.06602
+0.0667985
+0.067639
+0.068485
+0.0693752
+0.0703223
+0.0713159
+0.0723585
+0.0734517
+0.0745932
+0.0757807
+0.0770102
+0.0782816
+0.0795931
+0.0816994
+0.0795887
+0.0774824
+0.075381
+0.0732847
+0.0711942
+0.069105
+0.0670176
+0.064937
+0.0628639
+0.060799
+0.0587433
+0.0566977
+0.0546633
+0.0526414
+0.0506336
+0.0486416
+0.0466674
+0.0447134
+0.0427823
+0.0408774
+0.0390025
+0.0371622
+0.0353618
+0.0336079
+0.0319079
+0.0302711
+0.0286862
+0.0271786
+0.0257691
+0.0244748
+0.023315
+0.0223104
+0.021483
+0.0208539
+0.0204342
+0.0202055
+0.0202131
+0.0202392
+0.0203081
+0.0205937
+0.0211027
+0.0217976
+0.0226304
+0.023624
+0.0247569
+0.026012
+0.0273828
+0.0285925
+0.0298057
+0.0309932
+0.0322417
+0.0335867
+0.0349998
+0.0364463
+0.0379583
+0.0394418
+0.0409558
+0.0425093
+0.0441151
+0.0457605
+0.0474386
+0.0491572
+0.0509119
+0.0526865
+0.0544913
+0.0563234
+0.0581803
+0.0600598
+0.0611288
+0.0607984
+0.0605222
+0.0603243
+0.0602055
+0.0601663
+0.0602069
+0.060327
+0.0605262
+0.060798
+0.0610751
+0.0614159
+0.0618323
+0.0623231
+0.0628864
+0.0635076
+0.0641939
+0.0649344
+0.0657356
+0.0665895
+0.0674364
+0.0683402
+0.0692909
+0.0702953
+0.0713528
+0.0724612
+0.0736181
+0.074821
+0.076066
+0.077353
+0.07868
+0.0811788
+0.0790542
+0.0769332
+0.0748164
+0.0727038
+0.0705961
+0.0684935
+0.0663967
+0.0643061
+0.0622156
+0.0601285
+0.058049
+0.055978
+0.0539165
+0.0518655
+0.0498265
+0.0478008
+0.0457904
+0.0437973
+0.0418239
+0.0398732
+0.0379488
+0.0360547
+0.0341961
+0.032379
+0.0306109
+0.0289008
+0.0272595
+0.0256796
+0.0241829
+0.0227988
+0.0215489
+0.0204578
+0.0195522
+0.0188587
+0.0184006
+0.0181481
+0.0181565
+0.0181783
+0.0182546
+0.0185706
+0.0191335
+0.0198507
+0.0207485
+0.0218108
+0.0230235
+0.0243655
+0.0255754
+0.0267822
+0.0279626
+0.0291832
+0.0305058
+0.0319153
+0.0333517
+0.0348609
+0.0363538
+0.0378645
+0.0394194
+0.0410292
+0.0426779
+0.0443644
+0.0460935
+0.0478571
+0.0496441
+0.0514623
+0.0533085
+0.0551799
+0.0570741
+0.0589888
+0.0597515
+0.0594208
+0.0591547
+0.0589603
+0.0588388
+0.0587987
+0.0588402
+0.0589631
+0.0591669
+0.0594508
+0.0598136
+0.0602426
+0.0606824
+0.0611856
+0.0617592
+0.0624046
+0.0631132
+0.0638721
+0.0646909
+0.0655722
+0.0664431
+0.0673476
+0.0683103
+0.0693289
+0.070401
+0.0715241
+0.0726959
+0.0739139
+0.0751739
+0.0762879
+0.0774077
+0.0807142
+0.0785771
+0.0764429
+0.0743121
+0.0721848
+0.0700614
+0.0679423
+0.0658279
+0.0637187
+0.0616151
+0.0595178
+0.0574275
+0.0553358
+0.0532494
+0.0511717
+0.0491039
+0.0470471
+0.045003
+0.0429734
+0.0409604
+0.0389665
+0.0369949
+0.0350493
+0.0331343
+0.0312556
+0.0294201
+0.0276363
+0.0259151
+0.0242696
+0.0226975
+0.0212167
+0.0198675
+0.0186785
+0.0176819
+0.016912
+0.0164005
+0.0161217
+0.0161311
+0.0161515
+0.0162359
+0.0165901
+0.0171668
+0.0179472
+0.0189134
+0.0200684
+0.0213714
+0.0225682
+0.0237373
+0.0249304
+0.026134
+0.0274287
+0.0288319
+0.0302578
+0.0317637
+0.0332677
+0.0347745
+0.0363309
+0.0379453
+0.0395977
+0.0412938
+0.0430347
+0.0448082
+0.0466091
+0.0484421
+0.0503038
+0.052191
+0.0541011
+0.0560288
+0.0579738
+0.0584147
+0.0580765
+0.0578134
+0.0576223
+0.0575141
+0.057482
+0.0575244
+0.0576501
+0.0578586
+0.0581489
+0.0585198
+0.0589666
+0.0594784
+0.0600657
+0.060682
+0.0613468
+0.0620738
+0.0628546
+0.0636912
+0.0645914
+0.0654932
+0.0664106
+0.0673867
+0.0684191
+0.0695052
+0.0706071
+0.0717291
+0.0728648
+0.0739067
+0.0749982
+0.076137
+0.0803068
+0.0781585
+0.0760126
+0.0738693
+0.0717289
+0.0695917
+0.0674578
+0.0653277
+0.0632018
+0.0610804
+0.0589641
+0.0568535
+0.0547491
+0.0526518
+0.0505624
+0.0484696
+0.0463847
+0.0443101
+0.0422472
+0.0401978
+0.0381641
+0.0361487
+0.034155
+0.0321869
+0.0302493
+0.0283487
+0.0264929
+0.0246921
+0.0229591
+0.0213106
+0.0197512
+0.0182943
+0.0169955
+0.0158938
+0.0150326
+0.0144548
+0.0141376
+0.0141484
+0.0141736
+0.0142677
+0.0146469
+0.015258
+0.016091
+0.017162
+0.0184117
+0.0195776
+0.0207081
+0.0219165
+0.0230976
+0.0243569
+0.0257412
+0.0271649
+0.0286666
+0.0301841
+0.0316861
+0.0332443
+0.0348636
+0.0365205
+0.0382277
+0.039982
+0.0417664
+0.0435829
+0.0454324
+0.047311
+0.0492155
+0.0511404
+0.0530837
+0.0550456
+0.0570241
+0.0571268
+0.056781
+0.056518
+0.0563297
+0.056219
+0.0561936
+0.0562535
+0.0563918
+0.0566048
+0.0569015
+0.0572805
+0.0577317
+0.0582542
+0.0588538
+0.0595279
+0.0602742
+0.0610593
+0.0618673
+0.0627414
+0.06366
+0.064581
+0.0654402
+0.0663606
+0.0673398
+0.0683566
+0.0694192
+0.0705339
+0.0715804
+0.0726407
+0.0737509
+0.0749087
+0.0798938
+0.0777592
+0.0756249
+0.0734818
+0.0713365
+0.0691881
+0.0670414
+0.0648976
+0.0627571
+0.0606202
+0.0584873
+0.0563588
+0.0542352
+0.0521172
+0.0500055
+0.0479008
+0.0458042
+0.043716
+0.0416237
+0.039542
+0.0374727
+0.035418
+0.0333807
+0.031364
+0.0293723
+0.0274109
+0.0254869
+0.0236095
+0.0217906
+0.0200462
+0.0183975
+0.0168595
+0.0154405
+0.0142188
+0.0132491
+0.0125897
+0.0122242
+0.0122367
+0.0122682
+0.0123745
+0.0127373
+0.0133909
+0.0143295
+0.0154956
+0.0166167
+0.0177028
+0.0189045
+0.0200658
+0.0212924
+0.0226523
+0.0240734
+0.0255697
+0.0271039
+0.0285998
+0.0301599
+0.0317838
+0.0334472
+0.0351671
+0.0369367
+0.0387336
+0.0405676
+0.0424354
+0.0443328
+0.0462542
+0.0481953
+0.050157
+0.052137
+0.0541332
+0.0561319
+0.0558952
+0.0555417
+0.0552728
+0.0550898
+0.0549808
+0.0549548
+0.055016
+0.0551643
+0.0553989
+0.0557124
+0.0560994
+0.0565546
+0.057088
+0.0576996
+0.0583871
+0.0591478
+0.0599789
+0.0608775
+0.061804
+0.0625929
+0.0633891
+0.0642442
+0.0651531
+0.0661221
+0.0671486
+0.06823
+0.0693021
+0.0703407
+0.0714032
+0.0724766
+0.0735844
+0.0794861
+0.0773402
+0.075197
+0.0730565
+0.0709191
+0.068785
+0.0666546
+0.0645204
+0.062379
+0.060233
+0.0580884
+0.0559455
+0.0538056
+0.05167
+0.0495392
+0.0474139
+0.0452948
+0.0431828
+0.0410791
+0.038985
+0.0368986
+0.0348101
+0.0327349
+0.0306758
+0.0286363
+0.0266207
+0.0246351
+0.0226873
+0.0207879
+0.0189514
+0.0171981
+0.015556
+0.0140415
+0.0126885
+0.0115914
+0.0108316
+0.0104022
+0.0102869
+0.0104749
+0.01052
+0.0109046
+0.0116332
+0.0126459
+0.0137167
+0.0147198
+0.01586
+0.0170361
+0.0182387
+0.019566
+0.0209837
+0.0224733
+0.0240281
+0.0255163
+0.0270787
+0.0287064
+0.0303789
+0.0321137
+0.0338957
+0.0357114
+0.0375657
+0.0394541
+0.0413709
+0.0433093
+0.0452707
+0.0472522
+0.0492515
+0.0512509
+0.0532073
+0.0551014
+0.0547059
+0.0543624
+0.0540877
+0.0539006
+0.0538019
+0.0537767
+0.0538393
+0.0539908
+0.0542304
+0.0545571
+0.0549613
+0.0554391
+0.0559831
+0.0566067
+0.0573073
+0.0580822
+0.0589283
+0.0597923
+0.0606063
+0.06135
+0.0621621
+0.0630336
+0.0639597
+0.0649465
+0.0659913
+0.0670665
+0.0680406
+0.069032
+0.0700673
+0.0711452
+0.0722735
+0.079137
+0.0769814
+0.0748278
+0.0726765
+0.0705276
+0.0683813
+0.0662379
+0.0640978
+0.0619611
+0.0598284
+0.0577
+0.0555765
+0.0534409
+0.0513032
+0.0491597
+0.0470206
+0.0448861
+0.0427545
+0.0406286
+0.03851
+0.0363991
+0.0342939
+0.0322002
+0.0301203
+0.0280525
+0.0259917
+0.023954
+0.0219458
+0.019976
+0.0180571
+0.0162073
+0.0144532
+0.0128089
+0.0113294
+0.0100668
+0.00897727
+0.00833312
+0.00814207
+0.00849854
+0.00876202
+0.00919364
+0.00994595
+0.0109258
+0.0117613
+0.0128413
+0.0140361
+0.0152025
+0.0164836
+0.017897
+0.0193773
+0.020959
+0.0224369
+0.0240019
+0.0256325
+0.0273174
+0.0290698
+0.0308639
+0.0327018
+0.0345802
+0.0364916
+0.0384263
+0.0403872
+0.0423707
+0.0443736
+0.0463735
+0.0483288
+0.0503022
+0.0522858
+0.0538778
+0.0534732
+0.0531397
+0.0528937
+0.0527376
+0.0526723
+0.052663
+0.052727
+0.0528816
+0.0531263
+0.0534596
+0.0538725
+0.054361
+0.0549326
+0.0555787
+0.0562921
+0.0570731
+0.0578057
+0.0586111
+0.0594026
+0.0601612
+0.0609891
+0.0618768
+0.0628115
+0.0638013
+0.0648501
+0.0657671
+0.0667202
+0.0677105
+0.06875
+0.0698423
+0.0709734
+0.0788473
+0.0766835
+0.0745213
+0.0723609
+0.0702023
+0.0680458
+0.0658915
+0.0637397
+0.0615906
+0.0594446
+0.057302
+0.0551631
+0.053028
+0.0508959
+0.0487685
+0.046647
+0.0445322
+0.0424092
+0.0402771
+0.0381431
+0.036016
+0.0338948
+0.0317748
+0.0296651
+0.027568
+0.0254866
+0.0234252
+0.0213842
+0.0193628
+0.0173824
+0.0154588
+0.0136126
+0.0117893
+0.00999786
+0.00839797
+0.00709551
+0.00626065
+0.00603024
+0.00648758
+0.00714059
+0.00753006
+0.0083545
+0.00889677
+0.00987186
+0.0110565
+0.0121692
+0.0134079
+0.0148151
+0.0162821
+0.0178697
+0.0193634
+0.0209314
+0.022565
+0.0242651
+0.0260346
+0.0278466
+0.0297097
+0.0316149
+0.033548
+0.035508
+0.0374935
+0.0395007
+0.0415012
+0.0434548
+0.0454273
+0.0474124
+0.0494149
+0.0514327
+0.0527169
+0.0523033
+0.0519623
+0.0517107
+0.051551
+0.0514842
+0.0515105
+0.0516298
+0.051825
+0.0520745
+0.0524145
+0.0528433
+0.0533499
+0.0539322
+0.0545963
+0.0552229
+0.0558939
+0.0566418
+0.0574225
+0.058218
+0.0589759
+0.0598044
+0.0606926
+0.0616304
+0.0626243
+0.0635618
+0.0644523
+0.0653978
+0.0664007
+0.0674599
+0.0685603
+0.0697111
+0.0776981
+0.0764452
+0.0742782
+0.0721105
+0.0699441
+0.0677794
+0.0656164
+0.0634552
+0.0612962
+0.0591395
+0.0569854
+0.0548342
+0.0526858
+0.0505392
+0.0483962
+0.0462576
+0.0441241
+0.0419965
+0.0398758
+0.037763
+0.0356596
+0.0335674
+0.0314753
+0.0293603
+0.0272464
+0.0251386
+0.0230461
+0.0209736
+0.0189278
+0.016918
+0.0148815
+0.0128141
+0.0107954
+0.00885857
+0.00701427
+0.00541913
+0.00430686
+0.00400406
+0.00454941
+0.00542439
+0.00591886
+0.00625859
+0.00696524
+0.00802489
+0.00914648
+0.0103456
+0.0117416
+0.0131882
+0.0147836
+0.0162992
+0.01787
+0.0195072
+0.0212262
+0.0230098
+0.0248493
+0.0267418
+0.0286756
+0.0306348
+0.0326227
+0.0346351
+0.0366358
+0.038587
+0.0405581
+0.0425448
+0.0445506
+0.0465731
+0.0486102
+0.0506601
+0.0515987
+0.0511943
+0.0508521
+0.0505949
+0.0504317
+0.0503634
+0.0503903
+0.0505122
+0.0507286
+0.0510381
+0.0514392
+0.0518777
+0.0523965
+0.0529035
+0.0534666
+0.0540766
+0.0547231
+0.0554365
+0.0562262
+0.0570343
+0.0578077
+0.0586287
+0.0595115
+0.0604609
+0.0614118
+0.0622508
+0.0631518
+0.064115
+0.0651377
+0.0662043
+0.0673241
+0.0684957
+0.0762593
+0.0750822
+0.0739441
+0.0719162
+0.0697466
+0.0675784
+0.0654116
+0.0632454
+0.061079
+0.0589144
+0.0567517
+0.0545913
+0.0524329
+0.0502756
+0.0481208
+0.0459694
+0.0438219
+0.0416789
+0.0395411
+0.0374094
+0.035285
+0.0331691
+0.0310637
+0.0289709
+0.0268937
+0.024836
+0.0228031
+0.0207545
+0.0186789
+0.0165213
+0.0143738
+0.0122416
+0.0101344
+0.00805894
+0.00604015
+0.00419212
+0.00265444
+0.00216628
+0.00281327
+0.00353072
+0.0039735
+0.00420997
+0.00507373
+0.0061987
+0.00731342
+0.0086534
+0.0100966
+0.0117037
+0.0132508
+0.0148208
+0.0164645
+0.0182051
+0.0200075
+0.0218801
+0.0238071
+0.0257713
+0.0277618
+0.0297803
+0.0317806
+0.0337281
+0.0356969
+0.0376852
+0.0396948
+0.0417226
+0.0437662
+0.0458233
+0.0478923
+0.0499716
+0.050515
+0.0501019
+0.0497818
+0.0495453
+0.0493786
+0.0493088
+0.0493362
+0.0494607
+0.0496816
+0.0499976
+0.0504069
+0.0509013
+0.0512839
+0.0517455
+0.0522825
+0.0528475
+0.0534963
+0.0542259
+0.0550332
+0.0558613
+0.0566375
+0.0574419
+0.0583104
+0.0592472
+0.0601269
+0.0609806
+0.0619001
+0.0628782
+0.0639061
+0.0649917
+0.0661321
+0.0673178
+0.074857
+0.0736574
+0.0725042
+0.0713709
+0.0696114
+0.0674388
+0.0652671
+0.0630956
+0.0609255
+0.0587569
+0.05659
+0.054425
+0.0522622
+0.0501018
+0.047944
+0.0457843
+0.0436277
+0.0414746
+0.0393257
+0.0371817
+0.0350435
+0.0329121
+0.0307891
+0.0286763
+0.0265761
+0.0244917
+0.0224277
+0.02039
+0.0183876
+0.0163274
+0.0141548
+0.0119888
+0.00983371
+0.00769695
+0.00559829
+0.0036019
+0.00183113
+0.000811607
+0.00141236
+0.00183311
+0.00218002
+0.00237364
+0.00338539
+0.00427634
+0.00556193
+0.00701011
+0.00863694
+0.0102323
+0.011797
+0.0134472
+0.0152021
+0.0170395
+0.0189522
+0.0209194
+0.0229168
+0.0249421
+0.0269411
+0.0288826
+0.0308475
+0.0328371
+0.0348509
+0.0368848
+0.0389357
+0.0410011
+0.0430789
+0.0451674
+0.0472651
+0.0493709
+0.0495047
+0.049083
+0.0487562
+0.0485262
+0.0483858
+0.0483168
+0.0483448
+0.0484719
+0.0486973
+0.0490196
+0.0493512
+0.0496658
+0.0500651
+0.0505563
+0.0510569
+0.0516352
+0.0522989
+0.0530449
+0.0538697
+0.0546213
+0.0553613
+0.0561763
+0.0570436
+0.057968
+0.058882
+0.0597535
+0.0606818
+0.0616686
+0.0627164
+0.0638182
+0.0649204
+0.0660494
+0.0734564
+0.072271
+0.0710953
+0.0699685
+0.0688346
+0.0673162
+0.0651393
+0.0629634
+0.0607886
+0.0586149
+0.0564426
+0.0542717
+0.0521025
+0.0499352
+0.04777
+0.0456072
+0.0434472
+0.0412905
+0.0391376
+0.036989
+0.0348458
+0.0327081
+0.0305723
+0.0284449
+0.0263278
+0.0242221
+0.0221309
+0.0200605
+0.0180186
+0.0160161
+0.0140697
+0.0119523
+0.00983034
+0.00774654
+0.00570727
+0.0036872
+0.00177905
+9.65427e-05
+0.000115492
+0.000264324
+0.000627401
+0.000886689
+0.00132579
+0.00248704
+0.00394094
+0.00560473
+0.00726166
+0.0088243
+0.0104766
+0.0122451
+0.0141275
+0.0160882
+0.0180994
+0.0201087
+0.0221276
+0.0240586
+0.0260165
+0.0280066
+0.0300247
+0.0320654
+0.0341247
+0.0361995
+0.0382872
+0.0403857
+0.0424936
+0.0446095
+0.0467322
+0.048861
+0.048486
+0.0480956
+0.0477885
+0.0475714
+0.0474174
+0.0473643
+0.0474125
+0.0475616
+0.0477131
+0.0478872
+0.0481423
+0.0484553
+0.0488645
+0.0493528
+0.0498642
+0.0504562
+0.0511352
+0.0518979
+0.0526722
+0.0533493
+0.0540789
+0.0548799
+0.0557555
+0.0566893
+0.057688
+0.058567
+0.0595074
+0.0604977
+0.0615344
+0.062582
+0.0636782
+0.0648162
+0.0720194
+0.0708635
+0.0697268
+0.0685775
+0.0674798
+0.0663336
+0.065085
+0.0629072
+0.0607304
+0.0585546
+0.0563799
+0.0542065
+0.0520346
+0.0498643
+0.0476959
+0.0455296
+0.0433658
+0.0412048
+0.0390471
+0.0368933
+0.0347442
+0.0325998
+0.0304565
+0.0283204
+0.0261933
+0.0240777
+0.0219767
+0.0198951
+0.0178387
+0.015796
+0.013731
+0.0116972
+0.00973183
+0.00772166
+0.00575543
+0.00377279
+0.00194268
+0.000289123
+-0.000701715
+-0.00110899
+-0.000959174
+-0.000827597
+-0.000330616
+0.000929108
+0.00269642
+0.00445845
+0.0059604
+0.00758494
+0.00937971
+0.0113148
+0.0133292
+0.0153167
+0.0173467
+0.0192722
+0.0212166
+0.0232047
+0.0252264
+0.0272742
+0.0293427
+0.0314278
+0.0335263
+0.0356359
+0.0377547
+0.0398813
+0.0420145
+0.0441534
+0.0462969
+0.0479755
+0.0475037
+0.0471217
+0.0468011
+0.0465814
+0.046464
+0.0464498
+0.0464752
+0.0464279
+0.0464835
+0.0466421
+0.0469025
+0.0472632
+0.047713
+0.0482148
+0.0487382
+0.0493436
+0.0500378
+0.050817
+0.0514109
+0.0520688
+0.0528094
+0.0536294
+0.0545162
+0.0554675
+0.0564878
+0.0574004
+0.058322
+0.0592697
+0.0602726
+0.061332
+0.0624503
+0.0636152
+0.0706038
+0.069442
+0.0683111
+0.0672206
+0.066109
+0.0649947
+0.0638229
+0.0626346
+0.0606757
+0.0584976
+0.0563206
+0.0541447
+0.05197
+0.0497968
+0.0476251
+0.0454553
+0.0432875
+0.0411222
+0.0389597
+0.0368006
+0.0346454
+0.0324949
+0.0303503
+0.0282126
+0.0260525
+0.0238904
+0.0217339
+0.0195851
+0.0174466
+0.0153229
+0.013221
+0.0111533
+0.00914302
+0.00723782
+0.00529929
+0.00347097
+0.00181427
+0.000402615
+-0.00136825
+-0.00228476
+-0.00175682
+-0.000502322
+0.000127951
+0.000846025
+0.00207372
+0.00329973
+0.00487091
+0.00669221
+0.00862253
+0.0105994
+0.0126451
+0.0145566
+0.0164747
+0.0184536
+0.0204757
+0.0225293
+0.0246066
+0.026702
+0.0288116
+0.0309324
+0.0330624
+0.0351985
+0.0373379
+0.0394827
+0.0416323
+0.0437859
+0.0459431
+0.0469855
+0.046534
+0.0461552
+0.0458683
+0.0455954
+0.0453713
+0.0452132
+0.0451601
+0.0451845
+0.0452419
+0.0454051
+0.0456729
+0.0460435
+0.0465144
+0.0470358
+0.0476012
+0.048258
+0.0489676
+0.0495765
+0.0501629
+0.0508369
+0.0515952
+0.0524342
+0.0533347
+0.0543066
+0.0552981
+0.0561425
+0.0570586
+0.0580328
+0.0590512
+0.0601321
+0.0612476
+0.0624143
+0.0691966
+0.0680613
+0.0669088
+0.0658043
+0.0647457
+0.0636758
+0.0624338
+0.0612186
+0.0600538
+0.0582995
+0.0561148
+0.0539306
+0.0517469
+0.0495638
+0.0473815
+0.0452
+0.0430194
+0.0408398
+0.0386615
+0.0364848
+0.0343097
+0.0321368
+0.0299666
+0.0277995
+0.0256364
+0.0234784
+0.0213271
+0.0191847
+0.0170546
+0.0149421
+0.0128368
+0.010751
+0.00868211
+0.00664575
+0.00469807
+0.00287875
+0.00101194
+-0.000501012
+-0.00202127
+-0.00158982
+-0.000903367
+-0.000236513
+0.000782451
+0.00184856
+0.00166922
+0.00260798
+0.00427994
+0.00613609
+0.0081273
+0.0100119
+0.011861
+0.013806
+0.0158154
+0.0178675
+0.019949
+0.0220515
+0.0241651
+0.0262893
+0.0284236
+0.0305659
+0.0327145
+0.0348685
+0.0370237
+0.0391818
+0.0413433
+0.0435077
+0.0456747
+0.0460365
+0.0454777
+0.0450186
+0.0446625
+0.0443781
+0.0441168
+0.0439543
+0.0438991
+0.0439247
+0.0439838
+0.0441516
+0.044427
+0.0448079
+0.0452917
+0.0458675
+0.0464471
+0.0471215
+0.0478657
+0.0483736
+0.0489743
+0.0496645
+0.0504405
+0.0512979
+0.0522174
+0.0532097
+0.0540412
+0.0549053
+0.055829
+0.0568021
+0.0578395
+0.0589235
+0.0600556
+0.0612409
+0.0678021
+0.066678
+0.0655479
+0.0644249
+0.0633499
+0.0623266
+0.0610918
+0.0598494
+0.0586574
+0.0575183
+0.055994
+0.0538048
+0.0516158
+0.049427
+0.0472383
+0.0450499
+0.0428616
+0.0406736
+0.038486
+0.0362987
+0.0341118
+0.0319254
+0.0297397
+0.0275548
+0.0253708
+0.0231881
+0.0210072
+0.0188284
+0.0166528
+0.0144817
+0.0123176
+0.0101649
+0.00803259
+0.00591446
+0.00382525
+0.00178146
+-0.000172329
+-0.00122411
+-0.0011899
+-0.00104802
+-0.000826219
+0.000238127
+0.00123676
+0.00218691
+0.00229354
+0.00297498
+0.00439456
+0.00599317
+0.00761178
+0.00941624
+0.0113535
+0.0133606
+0.0154172
+0.0175063
+0.0196176
+0.0217447
+0.0238782
+0.0260199
+0.0281692
+0.0303244
+0.0324843
+0.0346481
+0.0368151
+0.0389545
+0.0409373
+0.042921
+0.0448479
+0.0449217
+0.0443438
+0.0438413
+0.0434323
+0.0431309
+0.0428998
+0.0427543
+0.0426984
+0.0426686
+0.0427512
+0.0429455
+0.04325
+0.0436473
+0.0441438
+0.0447199
+0.0453174
+0.0460103
+0.0467215
+0.0472417
+0.0478567
+0.0485627
+0.0493556
+0.0502151
+0.0511524
+0.0520287
+0.0528317
+0.0536978
+0.0546245
+0.0556107
+0.0566543
+0.0577552
+0.0588936
+0.0600903
+0.0662772
+0.0652332
+0.0641548
+0.0630865
+0.0619964
+0.0609541
+0.0597999
+0.0585301
+0.0573106
+0.0561443
+0.0550405
+0.0537575
+0.0515669
+0.0493762
+0.0471856
+0.0449949
+0.0428043
+0.0406136
+0.038423
+0.0362323
+0.0340417
+0.0318511
+0.0296605
+0.0274699
+0.0252793
+0.0230888
+0.0208982
+0.0187078
+0.0165173
+0.014327
+0.0121367
+0.0099467
+0.00775703
+0.00556817
+0.0033816
+0.00120349
+-0.000775687
+-0.000116933
+-2.03117e-05
+-0.000252995
+-0.000435248
+0.000495563
+0.00171907
+0.00274666
+0.00358378
+0.00396937
+0.00451001
+0.00575665
+0.00737951
+0.00920825
+0.0111677
+0.0131907
+0.0152602
+0.0173594
+0.0194788
+0.0216123
+0.0237563
+0.0259081
+0.028066
+0.0301744
+0.0321051
+0.0340661
+0.0360515
+0.0380441
+0.0400125
+0.0419778
+0.0439461
+0.0437842
+0.0431745
+0.0426682
+0.0422592
+0.0419494
+0.0417177
+0.0415681
+0.0415051
+0.0414744
+0.0415593
+0.0417592
+0.0420723
+0.0424961
+0.0430275
+0.0436032
+0.0442157
+0.0449243
+0.0456538
+0.046186
+0.0468149
+0.047536
+0.0483286
+0.0492044
+0.0500485
+0.0508383
+0.0516553
+0.0525306
+0.0534685
+0.0544552
+0.0555039
+0.056603
+0.0577406
+0.0589197
+0.0647906
+0.0637222
+0.0627121
+0.0616556
+0.0606491
+0.0596296
+0.0585575
+0.0572601
+0.0560172
+0.0548234
+0.0536924
+0.0526284
+0.0516036
+0.0494146
+0.0472257
+0.045037
+0.0428486
+0.0406603
+0.0384723
+0.0362847
+0.0340974
+0.0319106
+0.0297244
+0.0275389
+0.0253542
+0.0231708
+0.0209888
+0.0188053
+0.0166191
+0.0144341
+0.0122512
+0.0100717
+0.00789845
+0.00573841
+0.00355644
+0.00139969
+-0.000193814
+0.00102399
+0.00109395
+0.000769954
+0.000451655
+0.000698014
+0.00138253
+0.00263383
+0.00391603
+0.00417213
+0.00473859
+0.00596528
+0.00760188
+0.00941198
+0.0113362
+0.0133338
+0.015384
+0.0174683
+0.0195759
+0.0215909
+0.0234098
+0.0252878
+0.0272125
+0.0291747
+0.0311675
+0.0331699
+0.0351382
+0.0371313
+0.0391049
+0.0410583
+0.0430032
+0.0425819
+0.042035
+0.0415454
+0.0411336
+0.040834
+0.040563
+0.0404092
+0.0403199
+0.0403113
+0.0404217
+0.04065
+0.0409779
+0.0413924
+0.0418935
+0.0424963
+0.0431562
+0.043902
+0.0446681
+0.0452119
+0.0458537
+0.0465719
+0.0473789
+0.0481709
+0.0489015
+0.0496629
+0.050482
+0.0513525
+0.0522638
+0.0532497
+0.0543016
+0.055406
+0.0565558
+0.0577592
+0.0633308
+0.0622373
+0.0612027
+0.0601976
+0.0592047
+0.0582383
+0.0573305
+0.0560403
+0.0547709
+0.0535595
+0.0524013
+0.0513105
+0.0502915
+0.0493488
+0.0473664
+0.0451813
+0.0429968
+0.0408129
+0.0386298
+0.0364477
+0.0342666
+0.0320868
+0.0299086
+0.0277324
+0.0255587
+0.0233824
+0.0212053
+0.0190312
+0.0168615
+0.0146981
+0.012544
+0.0104053
+0.00829376
+0.00623691
+0.00424313
+0.00255434
+0.0015667
+0.00208642
+0.00208776
+0.00185401
+0.00118577
+0.000338872
+0.00038802
+0.00149645
+0.00262238
+0.00410423
+0.00514665
+0.00641031
+0.00801475
+0.00980695
+0.0115606
+0.0132438
+0.0149682
+0.0167317
+0.0185522
+0.0204068
+0.0223224
+0.0242846
+0.0262828
+0.0283041
+0.0302716
+0.0322679
+0.0342294
+0.0361989
+0.0381681
+0.0401111
+0.0418305
+0.0412554
+0.040715
+0.0402237
+0.0397777
+0.0394484
+0.0392303
+0.0391186
+0.0390382
+0.0390294
+0.0391433
+0.039379
+0.0397289
+0.0401314
+0.0406481
+0.0412748
+0.0420036
+0.0428254
+0.0436608
+0.0443131
+0.0449604
+0.0456909
+0.0463864
+0.0470226
+0.0477134
+0.0484356
+0.0492447
+0.0501264
+0.0510595
+0.0520663
+0.0531303
+0.0542575
+0.055429
+0.0566596
+0.0619061
+0.0607944
+0.0597215
+0.0586925
+0.0577249
+0.056782
+0.0558573
+0.054881
+0.0535841
+0.0523468
+0.0511714
+0.050052
+0.0490023
+0.0480288
+0.0471363
+0.0453941
+0.043219
+0.0410417
+0.038866
+0.036692
+0.0345201
+0.0323508
+0.0301846
+0.0280222
+0.0258645
+0.0237129
+0.0215691
+0.0194358
+0.0173169
+0.0152183
+0.0131498
+0.011114
+0.00899456
+0.00690333
+0.00488835
+0.00305321
+0.00180166
+0.00202149
+0.00304645
+0.00290961
+0.00162468
+0.000272546
+-0.000205274
+0.000396368
+0.00124877
+0.00260553
+0.00393908
+0.00524752
+0.0068334
+0.00848526
+0.0101858
+0.0119055
+0.0136975
+0.0155369
+0.0174371
+0.0193986
+0.0214046
+0.0234343
+0.0254174
+0.0274171
+0.0293616
+0.0313338
+0.0333263
+0.0352876
+0.037252
+0.0392404
+0.0405172
+0.0399155
+0.0393392
+0.0388638
+0.0384568
+0.0381161
+0.0378992
+0.0378016
+0.0378129
+0.0378309
+0.0379485
+0.0381916
+0.0385273
+0.0389423
+0.0394746
+0.0401196
+0.040872
+0.041726
+0.0425332
+0.0434258
+0.0441559
+0.044698
+0.045252
+0.0458504
+0.0464984
+0.0472392
+0.0480478
+0.0489334
+0.0498889
+0.050912
+0.0519742
+0.0531056
+0.0542997
+0.0555455
+0.0604466
+0.0593313
+0.058267
+0.0572118
+0.0562223
+0.0553018
+0.054412
+0.0535359
+0.052462
+0.0511976
+0.0499916
+0.0488425
+0.0477662
+0.0467667
+0.0458496
+0.0450206
+0.0435091
+0.0413471
+0.0391883
+0.0370333
+0.0348827
+0.0327374
+0.0305985
+0.0284676
+0.0263464
+0.0242376
+0.0221447
+0.0200353
+0.0178935
+0.0157639
+0.0136426
+0.0115409
+0.00946106
+0.0074367
+0.00549364
+0.00374474
+0.00247714
+0.00236579
+0.00354279
+0.00308677
+0.00172127
+0.000354246
+-0.000323574
+-0.000493313
+-3.68869e-05
+0.00121714
+0.00226549
+0.00373752
+0.00543582
+0.00709529
+0.00884352
+0.0106932
+0.012562
+0.0145211
+0.0165358
+0.0185733
+0.0205842
+0.0225753
+0.0245061
+0.0264774
+0.0284808
+0.0304881
+0.0324473
+0.0344344
+0.0364448
+0.0384749
+0.0391912
+0.0385529
+0.0380059
+0.0375329
+0.0371706
+0.0368536
+0.0366292
+0.036535
+0.0365627
+0.0367053
+0.0368453
+0.0370956
+0.0374156
+0.0378427
+0.0383903
+0.0390532
+0.039773
+0.0405814
+0.0414174
+0.0423336
+0.0431493
+0.0435663
+0.0440713
+0.0446481
+0.0452866
+0.0460206
+0.0468455
+0.0477431
+0.0487219
+0.0497764
+0.0508502
+0.0519942
+0.0532038
+0.0544746
+0.0590324
+0.0578898
+0.0568088
+0.0557779
+0.0547625
+0.053817
+0.0529454
+0.0520988
+0.0512588
+0.0501178
+0.0488781
+0.0477011
+0.0465971
+0.0455714
+0.0446298
+0.0437777
+0.0430185
+0.0417653
+0.0396293
+0.0374997
+0.0353774
+0.033264
+0.0311614
+0.0290216
+0.0268816
+0.0247453
+0.0226152
+0.0204958
+0.0183872
+0.0162961
+0.0141933
+0.0121217
+0.0101005
+0.00816488
+0.00633454
+0.00480643
+0.00380154
+0.00373482
+0.00397369
+0.00364655
+0.00197493
+0.000834322
+-0.000190803
+-0.000947617
+-0.00114489
+-0.000254717
+0.000651771
+0.00250336
+0.00401618
+0.00581999
+0.00771673
+0.00966482
+0.011681
+0.013739
+0.0157912
+0.0177559
+0.0196719
+0.02164
+0.0236473
+0.0256846
+0.0276755
+0.0296586
+0.0316691
+0.0337021
+0.0357537
+0.037821
+0.0378423
+0.0371887
+0.0366465
+0.0362132
+0.0358727
+0.0356532
+0.035437
+0.0353388
+0.0352983
+0.0353798
+0.0355706
+0.0358816
+0.0362221
+0.036663
+0.0372278
+0.037911
+0.0386779
+0.0395088
+0.0403897
+0.0413287
+0.0419875
+0.0424379
+0.0429087
+0.0434624
+0.044118
+0.0448712
+0.0457064
+0.0466251
+0.0476269
+0.0486716
+0.0497692
+0.050931
+0.0521422
+0.0533552
+0.0576658
+0.0564956
+0.0553873
+0.0543448
+0.0533527
+0.0523818
+0.0514733
+0.0506325
+0.04983
+0.0488519
+0.0477871
+0.0466167
+0.0454861
+0.0444348
+0.0434686
+0.0425932
+0.0418144
+0.0411357
+0.0401732
+0.0380298
+0.0358858
+0.033745
+0.0316111
+0.0294854
+0.0273701
+0.0252631
+0.0231456
+0.0210431
+0.0189605
+0.0169053
+0.0148888
+0.0129262
+0.011014
+0.00922423
+0.00764615
+0.00637463
+0.00559849
+0.00513669
+0.00478741
+0.00463788
+0.00296352
+0.00115354
+-9.05881e-05
+-0.00160399
+-0.0023335
+-0.00188605
+-0.000272016
+0.000961026
+0.00291901
+0.00487845
+0.0068866
+0.00897447
+0.0110313
+0.0129815
+0.0148795
+0.016838
+0.0188475
+0.0208934
+0.0229418
+0.0249205
+0.0269306
+0.0289648
+0.0310204
+0.0330932
+0.0351804
+0.0372688
+0.0365165
+0.0358731
+0.0353283
+0.034895
+0.0345952
+0.0343878
+0.034192
+0.0340741
+0.0340321
+0.0341216
+0.0343331
+0.0346501
+0.0349828
+0.0354392
+0.0360232
+0.0367288
+0.0375491
+0.0384768
+0.0393885
+0.0403515
+0.0409034
+0.0413141
+0.0417797
+0.0423537
+0.0430234
+0.0437794
+0.0446303
+0.0455572
+0.046562
+0.0476216
+0.0487334
+0.0498677
+0.0510403
+0.052275
+0.0563479
+0.0551498
+0.0540139
+0.0529444
+0.0519452
+0.0509594
+0.0500295
+0.0491641
+0.0483824
+0.0475293
+0.0464341
+0.0454183
+0.0444554
+0.0433791
+0.0423888
+0.0414907
+0.0406908
+0.039995
+0.0394069
+0.0384947
+0.0363756
+0.0342645
+0.0321428
+0.0300309
+0.0279312
+0.0258466
+0.0237811
+0.0217402
+0.0197313
+0.0177618
+0.0158266
+0.0139665
+0.0122165
+0.0106312
+0.00927451
+0.00819301
+0.00737211
+0.00652094
+0.00602844
+0.00580756
+0.00371803
+0.00169461
+2.33511e-05
+-0.0018525
+-0.00349563
+-0.00299309
+-0.00122669
+0.000616534
+0.00240771
+0.00420286
+0.00618214
+0.00823667
+0.010147
+0.012098
+0.0141153
+0.0161667
+0.0182502
+0.0202431
+0.022246
+0.0242815
+0.0263404
+0.0284169
+0.0305094
+0.0326147
+0.0347306
+0.03597
+0.0352744
+0.0346038
+0.0340477
+0.0336254
+0.0333399
+0.0331342
+0.032969
+0.0328829
+0.0328396
+0.0329408
+0.0331038
+0.03341
+0.0338173
+0.034289
+0.0348922
+0.03562
+0.0364652
+0.0374196
+0.0384147
+0.0392273
+0.039855
+0.0402227
+0.0407008
+0.0412811
+0.0419543
+0.0427293
+0.0435945
+0.0445205
+0.0455287
+0.0466011
+0.0476694
+0.0487965
+0.0499942
+0.0512576
+0.0550857
+0.0538594
+0.0526958
+0.0515989
+0.0505732
+0.0495633
+0.0486158
+0.0477402
+0.0469408
+0.0462029
+0.0451175
+0.0440878
+0.0431282
+0.0422604
+0.0413969
+0.0404768
+0.0396564
+0.0389422
+0.03834
+0.0378429
+0.036932
+0.034835
+0.0327502
+0.0306803
+0.0286282
+0.0265983
+0.024596
+0.0226242
+0.0206795
+0.0187891
+0.016971
+0.0152511
+0.0136666
+0.0122679
+0.0110501
+0.0100738
+0.00898542
+0.00821524
+0.00758957
+0.00633232
+0.00441088
+0.00253661
+0.000610862
+-0.00093432
+-0.00254904
+-0.00301368
+-0.00139347
+-3.94461e-05
+0.00151773
+0.00361338
+0.00569169
+0.00752327
+0.009508
+0.0115673
+0.0136632
+0.0157011
+0.0176758
+0.0196962
+0.0217496
+0.0238274
+0.0259225
+0.02803
+0.0301493
+0.0320237
+0.0329985
+0.0340759
+0.0341085
+0.033428
+0.032854
+0.0324162
+0.0321221
+0.0318958
+0.0317421
+0.0317213
+0.0316494
+0.0316971
+0.0318821
+0.0321999
+0.0326619
+0.0332236
+0.0338458
+0.0345957
+0.0354652
+0.0364293
+0.0373323
+0.037957
+0.0386547
+0.0391801
+0.0396993
+0.040285
+0.040959
+0.0417021
+0.0425336
+0.0434585
+0.0444691
+0.045535
+0.0466107
+0.0477628
+0.0489858
+0.0501963
+0.053883
+0.0526287
+0.0514372
+0.0503129
+0.0492604
+0.0482264
+0.0472521
+0.0463609
+0.0455438
+0.0448124
+0.0437675
+0.0427843
+0.0418168
+0.0409355
+0.04014
+0.0394352
+0.0387185
+0.0379866
+0.037369
+0.036857
+0.0362491
+0.035458
+0.0334903
+0.031469
+0.0294719
+0.0274992
+0.0255499
+0.0236429
+0.0217893
+0.020004
+0.018307
+0.0167251
+0.0152941
+0.01401
+0.0129341
+0.0117158
+0.0107285
+0.00995331
+0.00922803
+0.00730222
+0.00544746
+0.0035825
+0.00198412
+0.000402973
+-0.000757551
+-0.00210673
+-0.00108782
+0.00074298
+0.00203296
+0.00350573
+0.00531755
+0.00727294
+0.00930106
+0.0113896
+0.0133405
+0.0153062
+0.0173259
+0.0193828
+0.0214662
+0.0235691
+0.0256852
+0.0278107
+0.0291278
+0.0300527
+0.0310778
+0.0322195
+0.0330367
+0.0323443
+0.0317667
+0.0313096
+0.0309468
+0.0307049
+0.0305389
+0.0304259
+0.0304664
+0.0305245
+0.0307284
+0.0310802
+0.0315586
+0.0321793
+0.0328695
+0.0336579
+0.0344602
+0.0353153
+0.0360923
+0.0367316
+0.0374449
+0.0381045
+0.0386321
+0.0392581
+0.0398956
+0.0406413
+0.0414894
+0.0424319
+0.0434622
+0.0445333
+0.0456327
+0.0467357
+0.0478098
+0.0489005
+0.0527438
+0.0514618
+0.0502427
+0.049091
+0.0480118
+0.0469537
+0.0459524
+0.0450355
+0.0442082
+0.0434574
+0.0424229
+0.0414208
+0.0405124
+0.039647
+0.0388469
+0.0381337
+0.0375283
+0.036956
+0.0361924
+0.0355476
+0.0350136
+0.0342752
+0.0335806
+0.0323813
+0.0304293
+0.028512
+0.026637
+0.0248137
+0.0230544
+0.021375
+0.0197958
+0.0183428
+0.0170192
+0.0158608
+0.0145658
+0.0134596
+0.0125733
+0.011814
+0.0102144
+0.00839585
+0.00662528
+0.00502656
+0.00349055
+0.00200506
+0.000501874
+-0.000549599
+-0.00026413
+0.000355479
+0.00200758
+0.00386741
+0.00573705
+0.00759446
+0.00941552
+0.0112455
+0.013186
+0.0151946
+0.0172477
+0.0193144
+0.0214045
+0.0235129
+0.0255892
+0.0262781
+0.0271269
+0.0281014
+0.0291952
+0.0304076
+0.0317252
+0.0312268
+0.030637
+0.0301389
+0.0297649
+0.0295123
+0.0293477
+0.0292301
+0.0292555
+0.0293072
+0.0295218
+0.0298716
+0.030369
+0.0310135
+0.0317495
+0.0325658
+0.0333257
+0.0342092
+0.0349456
+0.0355912
+0.0363269
+0.0370702
+0.0375893
+0.0381612
+0.0388194
+0.0395854
+0.0404557
+0.0414237
+0.0424826
+0.0435189
+0.0443963
+0.0453575
+0.0464024
+0.0475253
+0.0516642
+0.0503633
+0.0491168
+0.0479381
+0.0468323
+0.0457501
+0.0447223
+0.0437796
+0.0429281
+0.0419781
+0.041026
+0.0401172
+0.0391786
+0.0383424
+0.0375938
+0.0368902
+0.0362709
+0.0357114
+0.0349587
+0.0342907
+0.0337458
+0.0331376
+0.0324488
+0.0318722
+0.0313414
+0.0296524
+0.0278542
+0.026116
+0.0244506
+0.022874
+0.0214057
+0.0200554
+0.0188291
+0.0175003
+0.016322
+0.0153139
+0.014484
+0.0132109
+0.0114168
+0.00970301
+0.00803708
+0.00658422
+0.00486538
+0.00350608
+0.00196236
+0.000918936
+0.000981438
+0.000738655
+0.00252334
+0.00455786
+0.00633426
+0.00803395
+0.00968151
+0.0114698
+0.0133778
+0.0153613
+0.0173947
+0.0194622
+0.0215541
+0.0229284
+0.0234913
+0.0242399
+0.0251543
+0.0261881
+0.0273584
+0.0286487
+0.0296998
+0.03009
+0.0295027
+0.0290085
+0.0286127
+0.0283175
+0.0281056
+0.0279827
+0.0280255
+0.0280793
+0.0283032
+0.0286852
+0.0292025
+0.0298719
+0.0306225
+0.0314196
+0.0323
+0.0332107
+0.0338951
+0.0345522
+0.0353096
+0.0359693
+0.0364777
+0.0371087
+0.0377942
+0.0385806
+0.039473
+0.0404645
+0.0412828
+0.0420874
+0.0429887
+0.0439808
+0.0450576
+0.0462132
+0.0506467
+0.0493295
+0.0480645
+0.0468594
+0.0457275
+0.0446185
+0.0435676
+0.0425995
+0.0416125
+0.0405356
+0.0395488
+0.038661
+0.0378605
+0.0370551
+0.0362766
+0.0356161
+0.0350802
+0.0343837
+0.0336449
+0.032987
+0.0324271
+0.0319645
+0.0313996
+0.0307591
+0.0301787
+0.0297488
+0.0291853
+0.0275313
+0.0259569
+0.0244775
+0.0231077
+0.0218335
+0.0204831
+0.0192439
+0.0181486
+0.0172242
+0.0162322
+0.0144704
+0.0127889
+0.0110959
+0.00954422
+0.00787828
+0.00645544
+0.00485711
+0.00352449
+0.00305037
+0.00255348
+0.00250393
+0.00366625
+0.00483861
+0.00649885
+0.00839595
+0.0103228
+0.0120617
+0.013916
+0.0158324
+0.017812
+0.0198361
+0.0203914
+0.0207929
+0.0214121
+0.0222308
+0.0232049
+0.0243216
+0.0255775
+0.0269532
+0.0275907
+0.028254
+0.0283981
+0.0279092
+0.0274555
+0.0271478
+0.0269219
+0.0267936
+0.0267927
+0.026849
+0.027083
+0.0274902
+0.0280468
+0.0287435
+0.0294453
+0.0302735
+0.0312093
+0.032143
+0.0329485
+0.0336241
+0.0344019
+0.0349141
+0.0354377
+0.0360869
+0.0368482
+0.0376543
+0.0385079
+0.0391546
+0.0398856
+0.0407179
+0.0416489
+0.0426721
+0.0437811
+0.0449614
+0.049705
+0.0483622
+0.0470766
+0.0458451
+0.0446872
+0.0435677
+0.0424909
+0.0414089
+0.0402322
+0.0391429
+0.0381255
+0.0372047
+0.0363874
+0.0356681
+0.035047
+0.0343628
+0.033807
+0.0331479
+0.0323592
+0.0316963
+0.0311446
+0.0306903
+0.0303744
+0.0297179
+0.0291169
+0.028671
+0.0283877
+0.0282717
+0.0275551
+0.0261662
+0.0248609
+0.0234957
+0.0222086
+0.0210552
+0.0200479
+0.019191
+0.0175396
+0.015839
+0.0141398
+0.0125129
+0.0109282
+0.00944398
+0.0077787
+0.00627678
+0.00526482
+0.00489798
+0.00459701
+0.00439787
+0.00465393
+0.00570891
+0.00718839
+0.00894035
+0.0108529
+0.0128545
+0.014707
+0.016561
+0.0181044
+0.0180307
+0.018222
+0.0186702
+0.0193574
+0.020256
+0.0213023
+0.0225135
+0.0238648
+0.0249515
+0.0254955
+0.0262118
+0.0270869
+0.0267429
+0.0263415
+0.0260361
+0.0258122
+0.0256784
+0.0256608
+0.0257197
+0.0259639
+0.0263883
+0.026957
+0.0276495
+0.0283665
+0.0291993
+0.0301629
+0.0311388
+0.0321235
+0.0327906
+0.0335146
+0.0339185
+0.0344572
+0.0351245
+0.0359097
+0.0366146
+0.0371562
+0.0378098
+0.0385624
+0.0394226
+0.0403835
+0.0414379
+0.0425552
+0.0437323
+0.0488234
+0.0474763
+0.0461648
+0.0449084
+0.0437257
+0.042582
+0.0414365
+0.0401413
+0.0389263
+0.0377994
+0.0367635
+0.0358105
+0.0349685
+0.0342316
+0.033609
+0.0331125
+0.0326315
+0.0319751
+0.0311719
+0.0304832
+0.0299393
+0.0294637
+0.0291346
+0.0288029
+0.0281831
+0.0277222
+0.0274291
+0.0273091
+0.0273645
+0.0275339
+0.026528
+0.0252054
+0.0240087
+0.0229237
+0.021983
+0.0206174
+0.0188823
+0.0171526
+0.0155322
+0.0139709
+0.0124643
+0.0107622
+0.00922591
+0.00800045
+0.00720738
+0.00667734
+0.00648619
+0.00602083
+0.00622835
+0.00707247
+0.00836513
+0.00994168
+0.0116971
+0.0134731
+0.0152835
+0.0163052
+0.0159248
+0.015841
+0.0160585
+0.0165653
+0.0173361
+0.0183095
+0.0194605
+0.0207793
+0.0222362
+0.0228242
+0.0234177
+0.0241956
+0.0251204
+0.0255685
+0.0251757
+0.0249369
+0.0247139
+0.0246438
+0.0245491
+0.0246494
+0.0249011
+0.0253066
+0.0258848
+0.0265974
+0.0273067
+0.0281651
+0.0291631
+0.030207
+0.031328
+0.0320246
+0.032601
+0.0330161
+0.0334889
+0.0340517
+0.0347343
+0.0353168
+0.0358779
+0.0365428
+0.037321
+0.0382091
+0.0391849
+0.0402363
+0.0413635
+0.0425559
+0.0479684
+0.0466765
+0.0453407
+0.0440607
+0.0428546
+0.0416658
+0.0402891
+0.0389557
+0.0377026
+0.0365379
+0.0354636
+0.0344746
+0.0335995
+0.0328474
+0.032224
+0.0317135
+0.0313267
+0.0308989
+0.0300884
+0.0293819
+0.0288167
+0.0283272
+0.0279799
+0.0277728
+0.0273618
+0.0268868
+0.0265845
+0.0264606
+0.0265178
+0.0267005
+0.0270433
+0.0269847
+0.0258501
+0.0248446
+0.0236749
+0.0218901
+0.0201855
+0.0185775
+0.0170337
+0.0154998
+0.0137964
+0.0122488
+0.0109236
+0.00988084
+0.00903216
+0.00860087
+0.00825959
+0.0078994
+0.00806548
+0.00875046
+0.00985029
+0.0112475
+0.0126559
+0.0142513
+0.0149381
+0.0141876
+0.0137488
+0.0136516
+0.0139033
+0.0144858
+0.0153578
+0.0164242
+0.0176982
+0.0191389
+0.0202525
+0.0207101
+0.0213624
+0.0222125
+0.0231763
+0.0242329
+0.0240885
+0.0238542
+0.0236547
+0.0235875
+0.0234966
+0.023596
+0.0238496
+0.0242726
+0.0248764
+0.0256192
+0.0263501
+0.027238
+0.0281609
+0.0291963
+0.0303519
+0.0312236
+0.0314459
+0.0318081
+0.0322461
+0.0328171
+0.0335219
+0.0341104
+0.0346826
+0.0353662
+0.036153
+0.0370415
+0.0380287
+0.0390967
+0.0402366
+0.0414572
+0.0471997
+0.0459651
+0.044609
+0.0433074
+0.0420621
+0.0406479
+0.0392217
+0.0378494
+0.0365568
+0.0353529
+0.0342469
+0.0332296
+0.0323208
+0.0315382
+0.0308915
+0.0303893
+0.0300073
+0.0297513
+0.0290811
+0.0283659
+0.0277795
+0.027271
+0.0269038
+0.0266884
+0.0266192
+0.0262083
+0.0258981
+0.025771
+0.0258297
+0.0260254
+0.0262915
+0.0262258
+0.0263427
+0.0266329
+0.0249201
+0.0232312
+0.0216325
+0.0201073
+0.0185352
+0.0168538
+0.0153018
+0.0139226
+0.0127215
+0.0116699
+0.0109607
+0.0106132
+0.0101921
+0.00990701
+0.0100454
+0.0106032
+0.0115094
+0.0125426
+0.0138196
+0.0139832
+0.0129682
+0.0120961
+0.0115783
+0.0114627
+0.0117614
+0.0124445
+0.0134163
+0.0146244
+0.0160419
+0.0176185
+0.018127
+0.0186138
+0.019337
+0.0202658
+0.0212802
+0.022423
+0.023158
+0.0228926
+0.0227333
+0.0226066
+0.0225645
+0.022658
+0.0229348
+0.0233985
+0.0240139
+0.0246621
+0.0254532
+0.0262777
+0.0272085
+0.0282788
+0.0294733
+0.0300293
+0.0302603
+0.0306359
+0.0310824
+0.0316744
+0.0323974
+0.0330054
+0.033565
+0.0342411
+0.0350412
+0.0359371
+0.0369358
+0.038022
+0.0391891
+0.0404414
+0.0465216
+0.0452684
+0.0439733
+0.0426035
+0.0411298
+0.0396833
+0.0382272
+0.0368243
+0.0354944
+0.0342532
+0.0331105
+0.0320769
+0.0311389
+0.0303258
+0.0296527
+0.0291291
+0.0287632
+0.0285255
+0.0281724
+0.0274629
+0.0268472
+0.0263277
+0.0259588
+0.025745
+0.0257072
+0.0256842
+0.0253675
+0.0252377
+0.0252977
+0.025521
+0.0256396
+0.0255723
+0.0256922
+0.0259896
+0.0262892
+0.0246941
+0.0231147
+0.0215614
+0.0199238
+0.0183699
+0.0169571
+0.0156601
+0.0144911
+0.0135773
+0.0129727
+0.0125048
+0.0121585
+0.0119633
+0.0120982
+0.0125086
+0.013117
+0.0140429
+0.0135429
+0.0122386
+0.0110772
+0.010047
+0.0094171
+0.00927469
+0.00964139
+0.0104597
+0.0115634
+0.0129455
+0.0145278
+0.0155765
+0.0159922
+0.016542
+0.0173517
+0.0183637
+0.0194462
+0.0206795
+0.0220599
+0.0220571
+0.0218987
+0.0217504
+0.0217828
+0.0218587
+0.0221455
+0.0226416
+0.0231763
+0.0238205
+0.024628
+0.0254308
+0.0263916
+0.0274937
+0.0287209
+0.0289518
+0.0291913
+0.0295632
+0.0300256
+0.0306375
+0.0313716
+0.0319501
+0.0325123
+0.0331946
+0.0339921
+0.034909
+0.0359229
+0.0370267
+0.0382243
+0.0395071
+0.045938
+0.0446685
+0.043114
+0.041543
+0.0400304
+0.0385828
+0.037208
+0.035872
+0.0345254
+0.0332489
+0.0320714
+0.0310041
+0.030047
+0.0292115
+0.0285121
+0.0279672
+0.0275859
+0.0273497
+0.0272794
+0.0266856
+0.0260376
+0.0255133
+0.0251575
+0.0249425
+0.0249034
+0.0250566
+0.0249965
+0.0248648
+0.0249257
+0.0251584
+0.0251622
+0.0250936
+0.0252139
+0.0254895
+0.0259462
+0.0260767
+0.0245153
+0.0230013
+0.0214467
+0.0200101
+0.0186504
+0.0174067
+0.0163629
+0.0155594
+0.0149677
+0.0144664
+0.0141875
+0.0140322
+0.0140321
+0.0143076
+0.0148743
+0.0137269
+0.0120978
+0.01066
+0.0092622
+0.00807253
+0.00727363
+0.00708829
+0.00756177
+0.00852937
+0.00985014
+0.0114411
+0.0131104
+0.0134629
+0.0138749
+0.0145052
+0.0154135
+0.0165095
+0.017683
+0.0190286
+0.0205204
+0.0214139
+0.0212126
+0.0210537
+0.021118
+0.0212093
+0.021442
+0.0218268
+0.0223236
+0.0229918
+0.0238049
+0.0246346
+0.0256252
+0.0267474
+0.027927
+0.0280044
+0.0282519
+0.0286058
+0.0290834
+0.0297127
+0.0304691
+0.0309755
+0.0315383
+0.032228
+0.0330488
+0.033977
+0.0350051
+0.0361369
+0.0373631
+0.0386745
+0.0454526
+0.0438076
+0.0421619
+0.0405678
+0.039023
+0.0375366
+0.0361221
+0.034788
+0.0335283
+0.0323462
+0.0311346
+0.0300341
+0.029045
+0.0281801
+0.0274544
+0.0268881
+0.0264913
+0.0262449
+0.0261717
+0.0259564
+0.0253851
+0.0248537
+0.024499
+0.024301
+0.0242655
+0.0244227
+0.0247529
+0.0246814
+0.0247427
+0.0249772
+0.0248676
+0.0247979
+0.0248859
+0.0251635
+0.0256145
+0.0258774
+0.0260073
+0.0245064
+0.0230743
+0.021671
+0.0203762
+0.0192443
+0.0183056
+0.0175231
+0.0168962
+0.0164831
+0.0161769
+0.0159378
+0.0159288
+0.014667
+0.0134394
+0.0124746
+0.0108953
+0.00928628
+0.00764666
+0.00620248
+0.0051699
+0.00490572
+0.00556211
+0.00675729
+0.00836278
+0.0101887
+0.0109589
+0.0113786
+0.0117844
+0.0125204
+0.0135387
+0.0147287
+0.016023
+0.0174967
+0.0191084
+0.0208185
+0.0207304
+0.0205679
+0.0205765
+0.0206169
+0.0207872
+0.0211258
+0.0216097
+0.0222663
+0.0230028
+0.0238604
+0.0248819
+0.0260108
+0.027079
+0.0271767
+0.0274317
+0.0277863
+0.0282777
+0.0289246
+0.0296826
+0.0301105
+0.0306761
+0.0313848
+0.032212
+0.0331502
+0.0342032
+0.0353607
+0.0366128
+0.0379502
+0.0446732
+0.0429724
+0.0413006
+0.0396719
+0.0380996
+0.0365905
+0.0351392
+0.0337664
+0.0324834
+0.031288
+0.0301881
+0.0291832
+0.0281769
+0.0272857
+0.0265355
+0.0259491
+0.0255378
+0.0252821
+0.0252061
+0.0252958
+0.0247967
+0.024367
+0.0240114
+0.02381
+0.0238082
+0.0239729
+0.0243229
+0.0246918
+0.0247531
+0.0249874
+0.0247282
+0.0246584
+0.0247348
+0.0248943
+0.0248666
+0.0250088
+0.0253403
+0.0255971
+0.0247108
+0.0233791
+0.0221842
+0.0211493
+0.020222
+0.019445
+0.018882
+0.0185354
+0.0172145
+0.0156239
+0.0141929
+0.0128592
+0.0116057
+0.0104733
+0.00966624
+0.00822625
+0.00636612
+0.00455545
+0.0031853
+0.00273615
+0.0036733
+0.00530756
+0.00723769
+0.00842942
+0.00882655
+0.00927369
+0.0097381
+0.0106038
+0.0117734
+0.0130606
+0.0145045
+0.0161177
+0.0178489
+0.0195838
+0.0203968
+0.0202309
+0.0201791
+0.0201418
+0.0203161
+0.0206042
+0.0210633
+0.0216438
+0.0223608
+0.0232421
+0.0242896
+0.0254086
+0.0262221
+0.0264594
+0.0267213
+0.0271194
+0.0276227
+0.0282845
+0.028945
+0.02937
+0.0299496
+0.0306592
+0.0314915
+0.0324505
+0.0335255
+0.0347056
+0.0359806
+0.0373406
+0.0439076
+0.0421834
+0.0405042
+0.0388543
+0.0372578
+0.0357244
+0.0342464
+0.0328367
+0.0315164
+0.030297
+0.0291914
+0.0281942
+0.0272904
+0.0265345
+0.0257706
+0.0251664
+0.024742
+0.0244543
+0.0243375
+0.0244175
+0.0243135
+0.0239546
+0.0236755
+0.0235124
+0.0235118
+0.0237099
+0.024071
+0.0245981
+0.0249565
+0.0250443
+0.0247824
+0.0246646
+0.0243653
+0.0241542
+0.0241408
+0.0242926
+0.0246339
+0.0250499
+0.0250974
+0.0250791
+0.0240293
+0.0229934
+0.0221266
+0.0214185
+0.019642
+0.0177307
+0.0158918
+0.0141533
+0.0125572
+0.0111626
+0.00980746
+0.00856513
+0.00761293
+0.00663338
+0.00546889
+0.0034027
+0.0014842
+0.000676298
+0.00234483
+0.00443493
+0.00541513
+0.00634067
+0.00673183
+0.00718036
+0.0077709
+0.00879531
+0.010175
+0.0115682
+0.0131766
+0.0149315
+0.0166366
+0.0184336
+0.0202802
+0.0201008
+0.0199366
+0.0198721
+0.019956
+0.0202232
+0.020638
+0.0212089
+0.0219183
+0.0228167
+0.0238218
+0.0245151
+0.0252449
+0.025908
+0.0261754
+0.0266166
+0.0271293
+0.0277894
+0.0283438
+0.0287777
+0.0293523
+0.0300613
+0.0309097
+0.0318863
+0.0329797
+0.0341786
+0.0354725
+0.0368513
+0.043227
+0.0414744
+0.0397653
+0.0381055
+0.036493
+0.034926
+0.0334292
+0.0320125
+0.030669
+0.0294146
+0.0282744
+0.0272545
+0.0263378
+0.0255536
+0.0249245
+0.0244515
+0.0240449
+0.0237462
+0.0236259
+0.0237083
+0.0239045
+0.0236931
+0.0234654
+0.0233755
+0.0234161
+0.0236165
+0.0239789
+0.0245323
+0.0252372
+0.0252883
+0.0246791
+0.0241138
+0.0237379
+0.0235418
+0.0235281
+0.0237176
+0.0240858
+0.0245942
+0.0247134
+0.0248397
+0.0250138
+0.0245869
+0.0225726
+0.0205943
+0.0186634
+0.0167388
+0.0147769
+0.012889
+0.0111127
+0.00951081
+0.00810052
+0.00679783
+0.00558812
+0.00466289
+0.0035894
+0.00269826
+0.000649369
+-0.000394922
+0.00158309
+0.00247533
+0.00370915
+0.00417596
+0.00472181
+0.00516836
+0.00594116
+0.00720224
+0.00874419
+0.0103278
+0.0120554
+0.0137558
+0.0155771
+0.0174834
+0.0194497
+0.0200831
+0.0198435
+0.0197134
+0.0197735
+0.0199814
+0.0203563
+0.0209546
+0.0216355
+0.0224213
+0.0230993
+0.0236792
+0.0244188
+0.0253085
+0.0258045
+0.0262564
+0.0268063
+0.0274594
+0.027902
+0.0283253
+0.0288938
+0.0296139
+0.0304747
+0.0314648
+0.0325723
+0.0337857
+0.0350941
+0.0364759
+0.0426386
+0.0408608
+0.0391249
+0.0374367
+0.035803
+0.0342316
+0.0327216
+0.0312728
+0.0299144
+0.0286593
+0.0275009
+0.0264518
+0.0255066
+0.024696
+0.0240582
+0.0235931
+0.0232998
+0.0231884
+0.0230652
+0.0231496
+0.0234393
+0.0234824
+0.0234174
+0.023369
+0.023484
+0.0237257
+0.0240865
+0.0246376
+0.0253664
+0.0248893
+0.0241693
+0.0235996
+0.0232155
+0.0230149
+0.0230009
+0.0231947
+0.0235912
+0.0241804
+0.0244885
+0.024757
+0.0249317
+0.0240057
+0.0219381
+0.0198968
+0.0178908
+0.0159336
+0.0139199
+0.0118967
+0.00994477
+0.00811559
+0.00651347
+0.00502405
+0.00375443
+0.00281482
+0.00197438
+0.000748815
+-0.00026733
+-0.00148409
+0.00012358
+0.000656916
+0.00176248
+0.00203133
+0.00265543
+0.00335428
+0.00440573
+0.00597799
+0.00765184
+0.00929685
+0.0109935
+0.0128332
+0.0147687
+0.0167671
+0.018787
+0.0202293
+0.0199548
+0.0197729
+0.019776
+0.019925
+0.020272
+0.0206839
+0.0212802
+0.0219903
+0.022401
+0.023006
+0.0237666
+0.0246642
+0.0256163
+0.0260714
+0.0266476
+0.0273018
+0.0276035
+0.0280217
+0.0285963
+0.0293236
+0.0301928
+0.0311918
+0.0323087
+0.0335316
+0.0348362
+0.0362151
+0.0421214
+0.0403438
+0.0385983
+0.0368861
+0.0352268
+0.0336285
+0.0321002
+0.0306523
+0.029285
+0.0280016
+0.0268348
+0.0257875
+0.0248412
+0.0240082
+0.0233516
+0.0228867
+0.0225881
+0.0224959
+0.0226059
+0.022784
+0.0230784
+0.0234013
+0.0234653
+0.0235258
+0.0236811
+0.0239953
+0.0243912
+0.0249356
+0.0253802
+0.0245496
+0.0238194
+0.0232457
+0.0228556
+0.0226714
+0.0226695
+0.0228661
+0.0232682
+0.0238644
+0.0243728
+0.0246637
+0.0250415
+0.0236142
+0.0215089
+0.0194226
+0.0173619
+0.0153374
+0.0133653
+0.0112489
+0.00915991
+0.00713219
+0.00523743
+0.00368666
+0.00201498
+0.000816475
+4.5782e-05
+-0.000889914
+-0.00158397
+-0.00257261
+-0.00176893
+-0.000580265
+-0.000251985
+0.000279776
+0.00108698
+0.00201859
+0.0034601
+0.00499182
+0.00683175
+0.00845595
+0.0102919
+0.0122376
+0.0142014
+0.0161659
+0.0181822
+0.0202348
+0.0202519
+0.0200166
+0.0199608
+0.0199705
+0.0201543
+0.0205334
+0.0211171
+0.0214201
+0.021828
+0.0224151
+0.0231951
+0.0241492
+0.0252028
+0.0260699
+0.0266478
+0.0271893
+0.0274416
+0.0278563
+0.0284342
+0.0291656
+0.0300393
+0.0310432
+0.0321653
+0.0333935
+0.0347015
+0.0360855
+0.0414332
+0.0399065
+0.0381515
+0.0364437
+0.0347794
+0.0331595
+0.0316085
+0.030137
+0.0287573
+0.0274823
+0.0262947
+0.0252407
+0.0242793
+0.0234659
+0.0228276
+0.0223585
+0.0220528
+0.0219583
+0.0220818
+0.022395
+0.0228647
+0.0233155
+0.0235884
+0.0238196
+0.0240363
+0.0243859
+0.0248484
+0.0254195
+0.0252013
+0.0243453
+0.0236479
+0.0230905
+0.0226977
+0.0225122
+0.0225103
+0.0227083
+0.0231132
+0.0237132
+0.0244537
+0.0247436
+0.0252146
+0.0234049
+0.021297
+0.0191883
+0.0170994
+0.0150396
+0.0130225
+0.0109445
+0.00880231
+0.00669163
+0.00465547
+0.00283779
+0.00118184
+-0.000454864
+-0.00164738
+-0.00243604
+-0.0033749
+-0.00423293
+-0.00329923
+-0.00273961
+-0.00230224
+-0.00140875
+-7.33382e-05
+0.00112841
+0.00283281
+0.0045192
+0.00619455
+0.00805354
+0.00988396
+0.0117838
+0.0137447
+0.0157662
+0.0178278
+0.0199169
+0.0207228
+0.0204009
+0.0201091
+0.0200151
+0.0201601
+0.0205325
+0.0207371
+0.0209295
+0.0213172
+0.021918
+0.022715
+0.0236883
+0.0247833
+0.0260138
+0.0268096
+0.0272019
+0.0274459
+0.0278605
+0.0284383
+0.0291696
+0.0300432
+0.031047
+0.0321689
+0.033397
+0.0347049
+0.0360888
+0.0405662
+0.039563
+0.0377921
+0.0360673
+0.0343956
+0.0327851
+0.0312452
+0.0297744
+0.028377
+0.0270842
+0.0258958
+0.024844
+0.0238969
+0.0230701
+0.0224274
+0.0219708
+0.0217244
+0.0216302
+0.0217556
+0.0220734
+0.0225623
+0.023207
+0.0237067
+0.0241392
+0.0245499
+0.0249243
+0.0254403
+0.0258078
+0.0248874
+0.0241223
+0.0235214
+0.023089
+0.0227492
+0.0225656
+0.0225637
+0.0227612
+0.0231651
+0.0237566
+0.0244759
+0.0250159
+0.0254215
+0.0233372
+0.0212663
+0.0191625
+0.0170805
+0.0150294
+0.0130154
+0.0110538
+0.0089379
+0.00686902
+0.00490703
+0.00287152
+0.000964417
+-0.00104438
+-0.00317354
+-0.00443843
+-0.0053794
+-0.00602164
+-0.00529223
+-0.0047485
+-0.00288227
+-0.00119779
+0.000109038
+0.00109108
+0.0026998
+0.00418683
+0.00587058
+0.0078071
+0.00972262
+0.0116488
+0.0136292
+0.0156656
+0.0177388
+0.0198374
+0.0211876
+0.0206779
+0.0203521
+0.0202592
+0.0203958
+0.0204392
+0.02046
+0.020625
+0.0210182
+0.0216273
+0.0224346
+0.0233907
+0.0244957
+0.02574
+0.0271012
+0.027382
+0.0276244
+0.0280364
+0.0286106
+0.0293376
+0.0302063
+0.0312049
+0.0323214
+0.0335291
+0.0348236
+0.0362044
+0.0397682
+0.0390863
+0.0375509
+0.0358211
+0.0341374
+0.0325141
+0.0309607
+0.0294884
+0.0281099
+0.0268329
+0.0256427
+0.0245885
+0.0236563
+0.0228547
+0.0222111
+0.0217645
+0.0215297
+0.0215
+0.0216261
+0.0219666
+0.0224578
+0.0231274
+0.0239445
+0.0244867
+0.0250606
+0.025608
+0.026141
+0.0254991
+0.024596
+0.0238263
+0.0232335
+0.0228363
+0.0225875
+0.0225251
+0.0226498
+0.0229682
+0.0233398
+0.0238964
+0.024623
+0.0254743
+0.0255478
+0.0234746
+0.021425
+0.0193776
+0.0173215
+0.0152812
+0.0132442
+0.011265
+0.0092319
+0.00724797
+0.00536616
+0.00319338
+0.00104889
+-0.000920358
+-0.00300197
+-0.00517016
+-0.00713829
+-0.0079446
+-0.0069308
+-0.00497085
+-0.0031619
+-0.00133882
+0.000319934
+0.00184178
+0.00334093
+0.00470552
+0.00624863
+0.00803327
+0.00984417
+0.0117847
+0.0138004
+0.0157755
+0.0174068
+0.0187062
+0.020142
+0.0211404
+0.0208217
+0.0207266
+0.0204362
+0.020268
+0.0203261
+0.0205106
+0.020906
+0.0215183
+0.0223296
+0.02329
+0.0243995
+0.0256485
+0.0270143
+0.0277345
+0.0279739
+0.0283808
+0.0289482
+0.0296669
+0.0305263
+0.0315147
+0.0326021
+0.0337782
+0.0350422
+0.0363387
+0.0390768
+0.0383827
+0.0374181
+0.0356851
+0.034005
+0.032386
+0.0308297
+0.0293508
+0.0279655
+0.0266883
+0.0255284
+0.0244794
+0.0235634
+0.0227652
+0.0221556
+0.0217245
+0.0214943
+0.021484
+0.0216724
+0.0220395
+0.0225522
+0.0232254
+0.0240732
+0.0249353
+0.0256167
+0.0262948
+0.0264348
+0.0253764
+0.0244688
+0.0236949
+0.0230988
+0.0226992
+0.0224902
+0.0224275
+0.0225781
+0.022913
+0.0234334
+0.0241291
+0.0249465
+0.025825
+0.0258596
+0.0238137
+0.0217959
+0.0197691
+0.0177063
+0.0156769
+0.0135142
+0.0113623
+0.00922852
+0.00712942
+0.00510783
+0.00313136
+0.0010878
+-0.00108537
+-0.00326803
+-0.005457
+-0.00764696
+-0.00950336
+-0.00759517
+-0.00575279
+-0.00371485
+-0.00172854
+0.000282398
+0.00212905
+0.00354241
+0.00502941
+0.0067889
+0.00850365
+0.0102316
+0.0121103
+0.0135935
+0.0148411
+0.0160502
+0.0174516
+0.0189861
+0.0205615
+0.0214027
+0.0208631
+0.0204651
+0.0202971
+0.0203551
+0.0206111
+0.0210228
+0.0216318
+0.0224389
+0.0233949
+0.0244996
+0.0257275
+0.0270583
+0.028253
+0.028488
+0.0288877
+0.0294453
+0.0301522
+0.0309709
+0.0318698
+0.0328509
+0.0339452
+0.0351421
+0.0364315
+0.0384412
+0.037749
+0.0371594
+0.0356721
+0.0339912
+0.0323714
+0.0308222
+0.0293548
+0.027979
+0.0267025
+0.0255503
+0.0245238
+0.0236337
+0.0228793
+0.0222729
+0.0218701
+0.021648
+0.0216378
+0.0218348
+0.0222325
+0.0228306
+0.0234959
+0.0243347
+0.0253098
+0.0262187
+0.0270248
+0.0263992
+0.0253759
+0.02447
+0.0237305
+0.0231713
+0.022773
+0.0225812
+0.0225433
+0.0226932
+0.0230513
+0.0235761
+0.0242751
+0.0251146
+0.0261062
+0.0263506
+0.0242523
+0.0221061
+0.0199187
+0.0177321
+0.0155466
+0.0133628
+0.0111817
+0.00900532
+0.0068235
+0.00463792
+0.00246144
+0.000342871
+-0.00159649
+-0.00370563
+-0.00579721
+-0.00782898
+-0.00982653
+-0.0082657
+-0.00623019
+-0.00419645
+-0.00225611
+-0.000305656
+0.00167722
+0.00296351
+0.00469318
+0.00669418
+0.00829452
+0.00968585
+0.011057
+0.0124016
+0.0135442
+0.0148723
+0.0163748
+0.0179775
+0.0194949
+0.0211308
+0.0207431
+0.020378
+0.0202093
+0.0202615
+0.0205187
+0.0210025
+0.0216918
+0.0225379
+0.0235581
+0.0247114
+0.0259096
+0.0272317
+0.0286604
+0.0291506
+0.0295094
+0.0299627
+0.0305587
+0.0312752
+0.0321253
+0.0330988
+0.0341852
+0.0353405
+0.0365722
+0.0378812
+0.0372016
+0.0366234
+0.0357755
+0.0340997
+0.0324852
+0.0309417
+0.0294803
+0.0281106
+0.0268403
+0.0256944
+0.02469
+0.0238451
+0.0231319
+0.0225504
+0.0221527
+0.0219672
+0.021998
+0.0222051
+0.0226042
+0.0231963
+0.0239644
+0.0247874
+0.0257524
+0.0268468
+0.0276822
+0.0265278
+0.0255093
+0.0246162
+0.0238855
+0.023334
+0.0229789
+0.0228294
+0.0228198
+0.0230083
+0.0233703
+0.023888
+0.0245837
+0.0254316
+0.0264088
+0.0261567
+0.0240207
+0.0218955
+0.0197846
+0.0176873
+0.0155375
+0.0133972
+0.0112673
+0.00916356
+0.00701271
+0.00486545
+0.00278632
+0.000749223
+-0.00120466
+-0.00304798
+-0.00502081
+-0.00702325
+-0.00907861
+-0.00870063
+-0.00666123
+-0.00471581
+-0.00280369
+-0.000949279
+0.000665692
+0.00239006
+0.004076
+0.00568299
+0.00726966
+0.00865368
+0.0100444
+0.0112653
+0.0124723
+0.0139037
+0.0155004
+0.0169886
+0.0185784
+0.0202364
+0.0206667
+0.0203069
+0.0201376
+0.0202057
+0.0204693
+0.0209346
+0.0216042
+0.0224537
+0.0234683
+0.0246075
+0.0258824
+0.0272738
+0.028764
+0.0296888
+0.0299797
+0.0304152
+0.0309724
+0.0316207
+0.0324045
+0.0333142
+0.0343397
+0.035471
+0.0366484
+0.0374001
+0.0367249
+0.0361699
+0.0357072
+0.0343477
+0.0327455
+0.0312147
+0.0297615
+0.028401
+0.0271493
+0.0260215
+0.0250315
+0.0241985
+0.0234966
+0.0229469
+0.0225972
+0.0224313
+0.0224629
+0.0227047
+0.0231155
+0.0237209
+0.0244814
+0.0253974
+0.0263616
+0.0274354
+0.0279541
+0.0268114
+0.025804
+0.0249215
+0.0242056
+0.0236656
+0.0233154
+0.023168
+0.0232272
+0.0234141
+0.0238003
+0.0243712
+0.0250689
+0.025907
+0.0268669
+0.0260818
+0.0239507
+0.0218272
+0.0197121
+0.0176147
+0.0155431
+0.0134801
+0.0113695
+0.00927891
+0.00724641
+0.00532787
+0.00338243
+0.00162931
+-0.000170154
+-0.00216672
+-0.00423422
+-0.00634159
+-0.00809884
+-0.00829761
+-0.00687054
+-0.00494221
+-0.00307273
+-0.00138127
+0.000466603
+0.00194403
+0.0034516
+0.00493842
+0.00624521
+0.00773482
+0.00906987
+0.0103245
+0.0116718
+0.0131948
+0.0146952
+0.0161993
+0.0177588
+0.0193984
+0.0208045
+0.0204492
+0.0202821
+0.0203498
+0.0206084
+0.0210464
+0.0216975
+0.0225434
+0.023553
+0.0246883
+0.0259592
+0.0273468
+0.0288332
+0.0302318
+0.0304261
+0.0307756
+0.031275
+0.0319172
+0.0326377
+0.0334857
+0.0344523
+0.0355278
+0.0367027
+0.0370339
+0.0363519
+0.0357911
+0.0353574
+0.0347195
+0.0331289
+0.0316101
+0.030174
+0.028833
+0.0276009
+0.026488
+0.0255149
+0.0246982
+0.0240395
+0.0235068
+0.0231655
+0.0230284
+0.0230868
+0.0233241
+0.0237603
+0.0243511
+0.0251182
+0.0260475
+0.0270977
+0.028167
+0.0283718
+0.0272466
+0.0262509
+0.0253919
+0.0246801
+0.0241467
+0.0238037
+0.0236595
+0.0237167
+0.023937
+0.0243531
+0.0249105
+0.0256298
+0.0264613
+0.0274417
+0.0261145
+0.0240405
+0.02193
+0.0198368
+0.0177673
+0.0157229
+0.013708
+0.0117492
+0.00979643
+0.0078932
+0.00610646
+0.00443871
+0.00238129
+0.000285552
+-0.001828
+-0.00398408
+-0.00511409
+-0.00649347
+-0.00684373
+-0.00583401
+-0.00492009
+-0.00312349
+-0.00107964
+0.000568148
+0.00200702
+0.00313654
+0.00436324
+0.00563014
+0.00701808
+0.00832311
+0.00969836
+0.0110994
+0.0125197
+0.0139982
+0.0154758
+0.0170819
+0.0187321
+0.0203691
+0.0207311
+0.0206034
+0.0206413
+0.0208938
+0.0213409
+0.0219833
+0.0228186
+0.0238267
+0.0249545
+0.0262125
+0.0275873
+0.0290624
+0.03062
+0.0308303
+0.0311156
+0.0315509
+0.0321299
+0.0328451
+0.033669
+0.0345497
+0.0355437
+0.0366419
+0.0367871
+0.0361082
+0.0355436
+0.0351068
+0.0347848
+0.0336429
+0.0321484
+0.0307367
+0.0294167
+0.0282054
+0.0271171
+0.0261674
+0.0253699
+0.0247055
+0.0242218
+0.0238948
+0.023762
+0.0238307
+0.0240901
+0.024514
+0.0251224
+0.0259001
+0.0268023
+0.027848
+0.0290193
+0.02888
+0.0277698
+0.026793
+0.0259647
+0.0252912
+0.024771
+0.0244368
+0.0242963
+0.0243528
+0.024568
+0.0249736
+0.0255612
+0.0262955
+0.0271694
+0.0281274
+0.0261896
+0.0241861
+0.0222035
+0.0201679
+0.0181436
+0.016159
+0.014206
+0.0123266
+0.010533
+0.0087871
+0.00660982
+0.00444573
+0.00232446
+0.000273716
+-0.00114254
+-0.00221663
+-0.00351654
+-0.00503898
+-0.0056362
+-0.00434639
+-0.00347174
+-0.00309798
+-0.00143469
+0.000577337
+0.00246408
+0.00327937
+0.00433248
+0.00545675
+0.00671519
+0.00790872
+0.00923014
+0.0106321
+0.0120343
+0.0134897
+0.0149941
+0.0165898
+0.0181226
+0.0197796
+0.0211115
+0.0209824
+0.0210478
+0.0213111
+0.0217773
+0.0224217
+0.0232413
+0.0242319
+0.0253733
+0.0266162
+0.0279712
+0.029427
+0.0309695
+0.0311944
+0.0314764
+0.0318693
+0.0323564
+0.0329821
+0.0337387
+0.0346176
+0.0354681
+0.0363652
+0.0366267
+0.0359455
+0.0353783
+0.0349394
+0.0346339
+0.0342735
+0.0328036
+0.0314178
+0.0301277
+0.0289461
+0.0278868
+0.0269642
+0.0261857
+0.0255426
+0.025075
+0.0247929
+0.0246689
+0.024735
+0.0249938
+0.0254208
+0.0260082
+0.0267625
+0.0276702
+0.0287166
+0.0298621
+0.0295365
+0.0284519
+0.0274994
+0.026693
+0.026039
+0.025534
+0.0252099
+0.0250737
+0.0251285
+0.025373
+0.0257558
+0.0263064
+0.0270238
+0.0278878
+0.0283661
+0.0264146
+0.0244336
+0.0224809
+0.0205762
+0.0186731
+0.0167475
+0.0148952
+0.0130956
+0.0109952
+0.00891818
+0.00691141
+0.00505736
+0.00325994
+0.00164009
+0.000551646
+-0.000500824
+-0.00208087
+-0.00378586
+-0.00441305
+-0.00297117
+-0.00190922
+-0.00124814
+-0.0014271
+-4.01912e-05
+0.00180959
+0.00370395
+0.00481556
+0.00566555
+0.00672695
+0.00789721
+0.00919579
+0.0105143
+0.0117904
+0.0132015
+0.0146146
+0.0160589
+0.0176378
+0.0192699
+0.0208822
+0.0214896
+0.0215964
+0.0219053
+0.0223807
+0.0230343
+0.0238434
+0.0248099
+0.0259259
+0.027173
+0.0285186
+0.0299479
+0.0314649
+0.0315536
+0.0317532
+0.0320928
+0.0325766
+0.0331091
+0.0336432
+0.034309
+0.0350813
+0.0359622
+0.036597
+0.0359152
+0.0353475
+0.0349083
+0.0346025
+0.0344335
+0.0335818
+0.0322295
+0.0309732
+0.0298251
+0.0287982
+0.0279057
+0.0271478
+0.026528
+0.0260781
+0.0258069
+0.0256963
+0.0257598
+0.0260084
+0.0264367
+0.0270175
+0.0277444
+0.0286209
+0.0296338
+0.0307696
+0.0303374
+0.0292825
+0.0283578
+0.0275766
+0.026944
+0.0264563
+0.0261437
+0.0260124
+0.0260652
+0.026301
+0.0266705
+0.0272025
+0.0278969
+0.0287419
+0.0286535
+0.026723
+0.0248297
+0.0229236
+0.021059
+0.0192632
+0.0175501
+0.0155681
+0.0135023
+0.0114767
+0.0095054
+0.00762238
+0.00588765
+0.00445763
+0.00329094
+0.00245017
+0.000865047
+-0.000898924
+-0.00266336
+-0.00340251
+-0.00183135
+-0.000458411
+0.000316926
+0.000319499
+0.000732347
+0.00180448
+0.00347674
+0.00524753
+0.00621398
+0.00712295
+0.00813826
+0.00932582
+0.010528
+0.0117497
+0.0129856
+0.0142491
+0.015475
+0.016895
+0.0183169
+0.019871
+0.0215242
+0.0222254
+0.0225425
+0.0230471
+0.0237028
+0.0245174
+0.0254948
+0.0265921
+0.0278093
+0.0291406
+0.0305711
+0.0318894
+0.0318853
+0.0320041
+0.032111
+0.0323661
+0.0327661
+0.0333056
+0.0339597
+0.0347311
+0.0356207
+0.0366983
+0.0360184
+0.0354523
+0.0350144
+0.0347095
+0.0345411
+0.0344819
+0.0331663
+0.0319469
+0.030835
+0.0298428
+0.0289826
+0.0282455
+0.0276503
+0.027219
+0.0269593
+0.0268619
+0.0269227
+0.0271606
+0.027571
+0.0281429
+0.0288543
+0.0297031
+0.0306803
+0.0317787
+0.0312545
+0.0302215
+0.029316
+0.0285503
+0.0279357
+0.0274802
+0.0271793
+0.0270531
+0.0271039
+0.0273264
+0.0277
+0.0282316
+0.0288869
+0.0296898
+0.0291034
+0.0272042
+0.0253429
+0.0235077
+0.0217335
+0.0200192
+0.0182328
+0.0162106
+0.0142383
+0.0123147
+0.0104588
+0.00875581
+0.00725523
+0.0060468
+0.00507239
+0.00383502
+0.00206837
+0.000241321
+-0.00171623
+-0.00250695
+-0.000734736
+0.000733087
+0.0017791
+0.00218842
+0.00231873
+0.00280189
+0.00399509
+0.00532674
+0.00686965
+0.00778449
+0.00844591
+0.00955747
+0.0102211
+0.0109164
+0.0118249
+0.0129101
+0.0142516
+0.0157526
+0.0172688
+0.0189011
+0.0206361
+0.022449
+0.023346
+0.0238113
+0.0244647
+0.0252916
+0.0262673
+0.0273578
+0.0285667
+0.0298642
+0.0312616
+0.0320349
+0.0318434
+0.0318003
+0.0319079
+0.0321647
+0.0325671
+0.033091
+0.0337403
+0.0345166
+0.0354116
+0.0369066
+0.0362539
+0.0356915
+0.0352566
+0.0349538
+0.0347866
+0.0347422
+0.0342178
+0.0330372
+0.0319622
+0.0310048
+0.0301747
+0.0294559
+0.0288856
+0.028473
+0.0282248
+0.0281453
+0.028207
+0.0284342
+0.0288265
+0.0293749
+0.0300571
+0.03088
+0.0318327
+0.0329029
+0.0321958
+0.0311939
+0.0303175
+0.0295777
+0.0289849
+0.028542
+0.0282525
+0.0281311
+0.0281799
+0.0283981
+0.0287578
+0.0292774
+0.0299464
+0.0299703
+0.0283305
+0.0267406
+0.0252297
+0.0237167
+0.0223125
+0.0208219
+0.0190381
+0.0171113
+0.0152206
+0.0134098
+0.0117281
+0.010209
+0.00886373
+0.00779155
+0.00683292
+0.00502965
+0.0030262
+0.00109701
+-0.00067966
+-0.00167919
+0.000104122
+0.00193174
+0.0031941
+0.00386023
+0.00390232
+0.00427511
+0.00484733
+0.00585912
+0.00712135
+0.00815152
+0.00799291
+0.00835076
+0.00876811
+0.0095751
+0.0106203
+0.0118166
+0.0132692
+0.0148113
+0.016397
+0.0181069
+0.0199038
+0.0217639
+0.0236741
+0.0247356
+0.0253651
+0.0261636
+0.0271159
+0.0281988
+0.0293812
+0.0306746
+0.0320656
+0.0319539
+0.0317716
+0.0317283
+0.0318362
+0.0320935
+0.0324957
+0.0330115
+0.0336623
+0.0344404
+0.0353373
+0.0372157
+0.0365878
+0.0360612
+0.0356308
+0.0353313
+0.0351659
+0.0351232
+0.0351776
+0.0342062
+0.033169
+0.0322474
+0.0314501
+0.0307611
+0.0302156
+0.0298213
+0.0295845
+0.0295088
+0.0295901
+0.0298067
+0.0301812
+0.0307078
+0.031367
+0.0321564
+0.0330723
+0.0341046
+0.0332549
+0.0322859
+0.0314399
+0.0307272
+0.030157
+0.0297277
+0.0294498
+0.0293333
+0.0293802
+0.0295896
+0.0299387
+0.0304382
+0.0304924
+0.0287156
+0.0269997
+0.0253571
+0.0238028
+0.0222634
+0.0207611
+0.0193904
+0.018181
+0.0170091
+0.0160467
+0.014751
+0.013212
+0.0117718
+0.0105695
+0.00963357
+0.00787703
+0.00578606
+0.00380888
+0.00201707
+0.000342989
+-0.000315409
+0.000904648
+0.0028051
+0.00467958
+0.00542252
+0.00549249
+0.00560571
+0.00601296
+0.00665141
+0.00716129
+0.00671649
+0.00649161
+0.00687286
+0.00758074
+0.00840824
+0.00962711
+0.0110316
+0.0125534
+0.0141245
+0.0157572
+0.01751
+0.0193523
+0.0212607
+0.023219
+0.0252156
+0.026417
+0.0271845
+0.0281023
+0.0291561
+0.0303245
+0.0315793
+0.0323338
+0.0320218
+0.0318399
+0.0317967
+0.0319043
+0.0321611
+0.0325625
+0.0330773
+0.0337268
+0.0345034
+0.0353987
+0.0376064
+0.0369852
+0.0364851
+0.0360885
+0.0357927
+0.0356295
+0.0356005
+0.0356887
+0.035472
+0.0344729
+0.0335871
+0.0328224
+0.0321628
+0.0316414
+0.0312651
+0.0310393
+0.0309672
+0.0310498
+0.0312727
+0.0316298
+0.0321327
+0.0327711
+0.0335274
+0.0344069
+0.0354002
+0.034421
+0.0334858
+0.0326709
+0.0319856
+0.0314382
+0.0310229
+0.0307567
+0.0306452
+0.0306901
+0.0308906
+0.0312289
+0.0312814
+0.0294127
+0.0275781
+0.0257866
+0.0240613
+0.0224174
+0.0208422
+0.0193011
+0.0178312
+0.016508
+0.015309
+0.0142322
+0.0134226
+0.0129182
+0.0127282
+0.0123337
+0.0105307
+0.00859551
+0.00672724
+0.00486725
+0.00311643
+0.00164918
+0.0011575
+0.00198397
+0.00348154
+0.00532468
+0.00683877
+0.00718455
+0.00712962
+0.00712804
+0.00605095
+0.00535859
+0.0049412
+0.00508548
+0.00565163
+0.00663909
+0.00756835
+0.00887228
+0.0104219
+0.0120673
+0.013656
+0.0153661
+0.0171506
+0.0190198
+0.0209513
+0.0229295
+0.0248158
+0.0266201
+0.0283077
+0.0291902
+0.0302062
+0.0313425
+0.0325805
+0.032475
+0.0321643
+0.0320009
+0.031967
+0.032074
+0.0323295
+0.0327299
+0.03327
+0.0339328
+0.0347048
+0.0355951
+0.0381134
+0.0375006
+0.0370075
+0.0366389
+0.0363761
+0.0362155
+0.036187
+0.0362905
+0.0364924
+0.0358633
+0.0350127
+0.0342798
+0.0336488
+0.0331507
+0.0327918
+0.0325766
+0.0325078
+0.0325866
+0.0328071
+0.0331477
+0.0336279
+0.0342417
+0.034982
+0.0358258
+0.0366684
+0.0356654
+0.0347716
+0.0339957
+0.0333325
+0.0327935
+0.032394
+0.0321392
+0.0320325
+0.0320754
+0.0322673
+0.0323305
+0.0303684
+0.0284397
+0.0265517
+0.0247085
+0.0229022
+0.0211685
+0.0195065
+0.0178935
+0.0163728
+0.014968
+0.0137162
+0.0125384
+0.0116189
+0.0110331
+0.01081
+0.0110191
+0.0114797
+0.00964428
+0.00782573
+0.00609224
+0.0044333
+0.00320606
+0.00272893
+0.00326763
+0.00458224
+0.00624137
+0.0080548
+0.0087901
+0.00746892
+0.00572329
+0.00425387
+0.00346061
+0.0031463
+0.00360754
+0.00454262
+0.00578258
+0.00710262
+0.0085006
+0.0101155
+0.0117804
+0.0134973
+0.0152236
+0.0170228
+0.0188314
+0.0206866
+0.022602
+0.0244523
+0.0263327
+0.0282098
+0.0301293
+0.0313539
+0.03245
+0.0330885
+0.0326369
+0.0323277
+0.0321652
+0.0321315
+0.0322379
+0.0324921
+0.0328905
+0.0334281
+0.0340981
+0.0348931
+0.0357792
+0.0387378
+0.038135
+0.0376502
+0.037288
+0.0370521
+0.0369224
+0.0368945
+0.036996
+0.0371941
+0.0373305
+0.0365141
+0.0358043
+0.0352007
+0.0347249
+0.0343824
+0.0341772
+0.0341117
+0.0341867
+0.0344014
+0.0347299
+0.0351885
+0.0357756
+0.0364849
+0.0373096
+0.0379583
+0.0369902
+0.0361292
+0.0353831
+0.0347464
+0.0342297
+0.0338471
+0.0336033
+0.0335013
+0.0335423
+0.0336331
+0.0316001
+0.0295896
+0.0276066
+0.0256574
+0.0237503
+0.0218961
+0.0200815
+0.0183184
+0.0166082
+0.0150051
+0.0135203
+0.0121741
+0.0109859
+0.00995791
+0.00927961
+0.00901319
+0.00920688
+0.00986084
+0.0108163
+0.0090448
+0.00741422
+0.0059876
+0.00492711
+0.0044655
+0.0048265
+0.00586892
+0.00734899
+0.00904469
+0.00862888
+0.00655353
+0.00453867
+0.00271068
+0.00146573
+0.00124907
+0.00223349
+0.0039096
+0.00524653
+0.00679052
+0.00822478
+0.00989959
+0.011519
+0.0131898
+0.0149503
+0.0166622
+0.0184756
+0.0203632
+0.0223045
+0.024256
+0.0261516
+0.0280902
+0.0300321
+0.0319923
+0.0336534
+0.0333745
+0.032944
+0.0326377
+0.0324767
+0.0324433
+0.0325488
+0.0328005
+0.0331953
+0.0337279
+0.0343921
+0.0351805
+0.0360701
+0.0394741
+0.0388827
+0.0384073
+0.0380524
+0.0378211
+0.037716
+0.0377161
+0.0378154
+0.0380092
+0.0383254
+0.0380824
+0.0373918
+0.0368141
+0.0363595
+0.0360326
+0.0358368
+0.0357743
+0.0358459
+0.0360507
+0.0363753
+0.0368133
+0.0373749
+0.0380545
+0.0388459
+0.0393279
+0.0383944
+0.0375656
+0.0368486
+0.0362351
+0.0357399
+0.0353737
+0.0351405
+0.0350429
+0.0350821
+0.0330771
+0.0310077
+0.0289561
+0.0269264
+0.0249241
+0.0229561
+0.0210323
+0.0191658
+0.0173269
+0.015511
+0.0137908
+0.0122196
+0.0107936
+0.00950385
+0.00845114
+0.00768314
+0.00737042
+0.0075962
+0.00835353
+0.00949299
+0.0104634
+0.0089577
+0.00768712
+0.00685024
+0.00641697
+0.00668266
+0.00748777
+0.00874178
+0.00950923
+0.00760716
+0.00578819
+0.00381115
+0.00167863
+-0.000281673
+-0.000497856
+0.00137182
+0.00309574
+0.00469277
+0.00619599
+0.00778099
+0.00946605
+0.0111752
+0.0129066
+0.0147428
+0.0165333
+0.0183587
+0.0202528
+0.0221825
+0.0241567
+0.026118
+0.0280578
+0.0300322
+0.0320347
+0.0340269
+0.0337854
+0.0333645
+0.0330792
+0.0329313
+0.0328984
+0.0330024
+0.0332507
+0.0336402
+0.0341659
+0.0348218
+0.0356006
+0.0364801
+0.0403161
+0.0397372
+0.0392722
+0.0389251
+0.0386991
+0.0385963
+0.0386177
+0.0387414
+0.0389307
+0.0392394
+0.0396669
+0.0390376
+0.0384847
+0.03805
+0.0377377
+0.0375508
+0.0374912
+0.0375595
+0.037755
+0.0380756
+0.0384943
+0.0390317
+0.0396829
+0.0404424
+0.0407693
+0.0398696
+0.0390721
+0.0383803
+0.0377863
+0.0373117
+0.0369611
+0.0367379
+0.0365447
+0.0347519
+0.0326473
+0.0305549
+0.0284765
+0.026411
+0.0243663
+0.0223493
+0.0203682
+0.0184345
+0.0165267
+0.0146305
+0.0128275
+0.0111238
+0.00958495
+0.00808625
+0.0067106
+0.00581345
+0.005548
+0.00605535
+0.00706863
+0.00833644
+0.00979019
+0.0106089
+0.00953962
+0.00880727
+0.0084655
+0.00867194
+0.00930799
+0.010369
+0.00859944
+0.00659266
+0.00467729
+0.00276953
+0.00112778
+-0.000756228
+-0.00123493
+0.000401142
+0.00227731
+0.004124
+0.00605021
+0.00770792
+0.00946599
+0.0111911
+0.012927
+0.0147576
+0.0166558
+0.0184691
+0.0203529
+0.022274
+0.0242407
+0.0262311
+0.0281632
+0.0301306
+0.032127
+0.0341472
+0.0342606
+0.033852
+0.0335817
+0.0334337
+0.0334205
+0.0335506
+0.0338223
+0.0342198
+0.0347368
+0.0353821
+0.0361488
+0.0370154
+0.0412573
+0.0406919
+0.0402379
+0.0398992
+0.0396788
+0.0395785
+0.0395994
+0.0397412
+0.0399511
+0.0402521
+0.0406689
+0.0407323
+0.0402053
+0.0397894
+0.0394909
+0.0393123
+0.0392554
+0.0393206
+0.0395074
+0.039814
+0.0402244
+0.0407389
+0.0413633
+0.0420925
+0.0422751
+0.0414029
+0.0406293
+0.039961
+0.0393984
+0.0389434
+0.0385825
+0.0370078
+0.0354891
+0.0340333
+0.0323434
+0.0302299
+0.0281283
+0.0260413
+0.0239729
+0.0219282
+0.0199146
+0.0179412
+0.0159744
+0.0140037
+0.0121088
+0.0103315
+0.00848429
+0.00677492
+0.00517567
+0.00401479
+0.0036733
+0.00433257
+0.00567181
+0.00728997
+0.00909754
+0.0108464
+0.0114711
+0.0108379
+0.0105547
+0.010721
+0.011261
+0.0102491
+0.0081368
+0.00604133
+0.00394938
+0.00192311
+-4.9915e-05
+-0.00194987
+-0.00193602
+-0.000328737
+0.00137473
+0.00343227
+0.00556738
+0.00772052
+0.00983952
+0.0116035
+0.0133024
+0.0150909
+0.016971
+0.0188353
+0.0206858
+0.0225786
+0.0243853
+0.0260887
+0.0278556
+0.0296791
+0.0315493
+0.0334584
+0.0348611
+0.0344597
+0.0341941
+0.0340489
+0.0340359
+0.0341636
+0.0344305
+0.0348334
+0.0353677
+0.0360275
+0.036806
+0.0376707
+0.0422912
+0.0417397
+0.0412973
+0.0409674
+0.0407527
+0.0406551
+0.0406754
+0.0408135
+0.0410335
+0.0413561
+0.0417619
+0.0422775
+0.0419651
+0.0415678
+0.0412821
+0.0411114
+0.0410569
+0.0411193
+0.041298
+0.0415914
+0.0419837
+0.0424769
+0.0430761
+0.0437768
+0.0438184
+0.0429767
+0.0422319
+0.0415893
+0.0409909
+0.0392962
+0.0376456
+0.0360525
+0.0345063
+0.0330035
+0.0315663
+0.0300615
+0.0279472
+0.0258456
+0.0237601
+0.0216954
+0.0196579
+0.0176572
+0.0156837
+0.0136716
+0.0117237
+0.00970347
+0.00770142
+0.00574261
+0.0039734
+0.00247277
+0.00197486
+0.00298297
+0.00466599
+0.00659926
+0.00858758
+0.0105426
+0.0124338
+0.0129149
+0.0126782
+0.012817
+0.0121559
+0.00998452
+0.00782387
+0.00568585
+0.00358514
+0.00150216
+-0.000501923
+-0.00225999
+-0.00340082
+-0.00130105
+0.000839045
+0.00298144
+0.00516069
+0.00734676
+0.00953493
+0.0116907
+0.0130759
+0.014612
+0.016284
+0.0180672
+0.0197163
+0.0213687
+0.0230819
+0.0248694
+0.026717
+0.0286131
+0.0305486
+0.0325166
+0.0345113
+0.0351934
+0.0349335
+0.0347913
+0.0347785
+0.0349035
+0.0351649
+0.0355595
+0.036083
+0.0367299
+0.0374938
+0.0383572
+0.0434111
+0.0428741
+0.0424434
+0.0421225
+0.0419137
+0.0418188
+0.0418386
+0.0419703
+0.0421868
+0.0425024
+0.0429277
+0.0434405
+0.0437546
+0.0433728
+0.043099
+0.0429355
+0.0428834
+0.0429431
+0.0431142
+0.0433954
+0.043776
+0.0442493
+0.0448248
+0.0454985
+0.0454141
+0.0446025
+0.0438064
+0.041999
+0.0402298
+0.0385015
+0.0368153
+0.0351847
+0.0336163
+0.0320821
+0.0306017
+0.0292107
+0.0276729
+0.0258239
+0.0237388
+0.0216745
+0.0196377
+0.0176378
+0.0156432
+0.0136512
+0.0115689
+0.00943989
+0.00734421
+0.00530754
+0.00327402
+0.00137971
+0.000540529
+0.00211199
+0.00416466
+0.00630094
+0.00846323
+0.0105627
+0.0124862
+0.0144431
+0.0148212
+0.0143457
+0.0121676
+0.00999501
+0.00783249
+0.00568951
+0.0035826
+0.00161693
+-0.000105003
+-0.00179539
+-0.00305536
+-0.00123688
+0.000773459
+0.00287931
+0.00502223
+0.0070238
+0.00872126
+0.0100409
+0.0115657
+0.0132598
+0.0150795
+0.0167224
+0.0183739
+0.0201027
+0.0219142
+0.0237897
+0.025715
+0.0276798
+0.0296763
+0.0316984
+0.0336875
+0.0356619
+0.0357787
+0.0356319
+0.0356194
+0.0357415
+0.0359967
+0.0363823
+0.0368941
+0.0375271
+0.0382751
+0.0391316
+0.0446105
+0.0440881
+0.0436695
+0.0433576
+0.0431548
+0.0430626
+0.0430615
+0.0431705
+0.0433899
+0.043714
+0.0441276
+0.044645
+0.0452626
+0.0452118
+0.0449493
+0.0447925
+0.0447426
+0.0447998
+0.0449638
+0.0452335
+0.0456032
+0.0460577
+0.0466108
+0.0472591
+0.0469597
+0.0450706
+0.0432063
+0.0413726
+0.0395754
+0.0378173
+0.0360991
+0.0344345
+0.0328304
+0.0312738
+0.0297674
+0.0283355
+0.0268167
+0.0252264
+0.0237253
+0.0218396
+0.0198198
+0.0178403
+0.0158711
+0.0138312
+0.011718
+0.00962205
+0.00756988
+0.00551165
+0.00337672
+0.00130185
+0.000127733
+0.00204732
+0.00415695
+0.00631041
+0.00848295
+0.0106629
+0.0128465
+0.014714
+0.0166517
+0.0144916
+0.0123219
+0.0101612
+0.00801678
+0.00590641
+0.00385908
+0.00198497
+0.000352964
+-0.00146921
+-0.00217392
+-0.000779705
+0.000876377
+0.00261665
+0.00430278
+0.00588597
+0.00705877
+0.00855649
+0.0102765
+0.0121264
+0.0137257
+0.0154025
+0.0171657
+0.0190047
+0.0209116
+0.0228694
+0.0248661
+0.026893
+0.0289408
+0.0309032
+0.0328873
+0.0348962
+0.0367258
+0.0365827
+0.0365706
+0.0366895
+0.0369382
+0.037314
+0.0378133
+0.0384311
+0.0391619
+0.0399994
+0.0458832
+0.0453755
+0.0449688
+0.044666
+0.0444532
+0.0443428
+0.0443405
+0.0444463
+0.0446594
+0.0449784
+0.0453823
+0.0458856
+0.0464867
+0.0470809
+0.0468289
+0.0466784
+0.0466305
+0.0466854
+0.0468429
+0.0471018
+0.0474605
+0.047898
+0.0484301
+0.0484346
+0.0465036
+0.0445952
+0.0427101
+0.0408543
+0.0390331
+0.0372494
+0.0355038
+0.0338099
+0.0321747
+0.0305848
+0.0290481
+0.0275986
+0.0261166
+0.0244809
+0.022931
+0.0214893
+0.0201356
+0.0182749
+0.0163472
+0.0142585
+0.0121831
+0.0101483
+0.00814803
+0.00609902
+0.00418588
+0.00260405
+0.00204186
+0.00307796
+0.0048581
+0.00684085
+0.0089128
+0.0110091
+0.0131353
+0.0152315
+0.0167884
+0.0146301
+0.0124831
+0.0103437
+0.00820314
+0.00609537
+0.00403485
+0.00198617
+-3.74295e-05
+-0.00161534
+-0.00185486
+-0.000782086
+0.000699463
+0.00232058
+0.00337353
+0.00421222
+0.00561333
+0.00732688
+0.0092097
+0.0107791
+0.0124673
+0.0142925
+0.0161653
+0.0180979
+0.0200823
+0.0221057
+0.0241583
+0.0261951
+0.0281701
+0.0301744
+0.0321938
+0.0342343
+0.0362923
+0.0376372
+0.0376255
+0.037741
+0.0379828
+0.0383484
+0.0388344
+0.0394362
+0.0401487
+0.040966
+0.0471993
+0.0467059
+0.0463109
+0.0460094
+0.0457981
+0.045691
+0.0456887
+0.0457914
+0.0459983
+0.0463081
+0.0467062
+0.0471953
+0.04778
+0.0484567
+0.0487345
+0.04859
+0.0485439
+0.0485967
+0.0487479
+0.0489968
+0.0493417
+0.0497667
+0.0500369
+0.0480731
+0.0461298
+0.0442096
+0.0423156
+0.040448
+0.0386077
+0.0368034
+0.0350355
+0.0333179
+0.0316573
+0.0300401
+0.028474
+0.0269937
+0.0255733
+0.0239135
+0.0223243
+0.0208406
+0.0194603
+0.0181827
+0.0169279
+0.0149301
+0.0129565
+0.0109744
+0.00903546
+0.00721448
+0.00562975
+0.00454474
+0.00420069
+0.00487228
+0.00616944
+0.00787293
+0.00973466
+0.0117083
+0.0137478
+0.0158269
+0.0167824
+0.0146082
+0.0124398
+0.0102808
+0.00813885
+0.00599429
+0.00385478
+0.00178203
+-0.000316625
+-0.00233879
+-0.00230225
+-0.00116983
+-0.000556002
+0.000994107
+0.00199612
+0.00283359
+0.00447457
+0.00644229
+0.0078956
+0.00959093
+0.0114432
+0.0133455
+0.015319
+0.0173448
+0.0194064
+0.0214935
+0.0235267
+0.025508
+0.027521
+0.0295594
+0.0316181
+0.0336934
+0.0357825
+0.0378831
+0.0387755
+0.0388877
+0.0391224
+0.0394774
+0.0399496
+0.0405349
+0.0412284
+0.0420248
+0.0485711
+0.0480917
+0.0477082
+0.0474115
+0.0472064
+0.0471025
+0.0471003
+0.0471999
+0.0474007
+0.0477013
+0.0480934
+0.0485686
+0.0491369
+0.0497952
+0.0505399
+0.0505241
+0.0504799
+0.0505306
+0.0506761
+0.0509155
+0.0512475
+0.0516607
+0.0497836
+0.0478094
+0.0458549
+0.0439226
+0.0420158
+0.0401379
+0.0382933
+0.0364837
+0.0346996
+0.0329644
+0.0312851
+0.0296476
+0.0280597
+0.0265563
+0.0251461
+0.0235078
+0.021908
+0.020402
+0.0189959
+0.0177252
+0.0165296
+0.0154916
+0.0139167
+0.0120512
+0.0102806
+0.0087027
+0.00744193
+0.00661336
+0.00638128
+0.00687772
+0.00786928
+0.00926535
+0.0109255
+0.0127249
+0.0146234
+0.016594
+0.0166296
+0.0144577
+0.0122917
+0.0101274
+0.00795194
+0.00577729
+0.00361505
+0.0014783
+-0.00047868
+-0.00186559
+-0.0028622
+-0.00223707
+-0.00194621
+-0.000295099
+0.0011036
+0.00206722
+0.00393772
+0.00525881
+0.00688948
+0.00874099
+0.0106789
+0.012689
+0.0147506
+0.0168448
+0.0189317
+0.0209479
+0.0229427
+0.0249703
+0.0270235
+0.0290964
+0.0311817
+0.033279
+0.0353876
+0.0375057
+0.0396316
+0.0401144
+0.040342
+0.0406864
+0.0411447
+0.0417132
+0.0423827
+0.0431456
+0.0500012
+0.0495357
+0.0491634
+0.0488715
+0.0486726
+0.0485718
+0.0485697
+0.0486663
+0.0488611
+0.0491528
+0.0495386
+0.0500001
+0.0505524
+0.0511925
+0.0519172
+0.0524785
+0.0524359
+0.0524847
+0.0526248
+0.0528554
+0.0531753
+0.0516234
+0.0496257
+0.047645
+0.0456835
+0.0437437
+0.0418287
+0.039942
+0.0380879
+0.0362714
+0.0344897
+0.032754
+0.0310633
+0.0294135
+0.0278122
+0.0262947
+0.0248696
+0.0232917
+0.0216759
+0.0201526
+0.0187532
+0.0174848
+0.0162967
+0.0152484
+0.0144326
+0.0133614
+0.0117888
+0.0104414
+0.00941638
+0.00874125
+0.00856701
+0.00894293
+0.00976663
+0.0109228
+0.0123623
+0.013998
+0.0157569
+0.0176011
+0.0167159
+0.0145569
+0.0124082
+0.0102686
+0.00815107
+0.00608564
+0.00412522
+0.00227069
+0.000628114
+-0.000639032
+-0.00133054
+-0.00207813
+-0.00220627
+-0.000758672
+0.000850602
+0.00224252
+0.00320678
+0.00460389
+0.00635734
+0.00829482
+0.0102936
+0.0123345
+0.0144195
+0.0165267
+0.0185095
+0.0205074
+0.0225409
+0.0245948
+0.0266703
+0.0287629
+0.030869
+0.0329862
+0.0351125
+0.0372461
+0.0393861
+0.0414023
+0.0416228
+0.0419567
+0.0424013
+0.0429532
+0.0436037
+0.0443455
+0.0514849
+0.0510329
+0.0506715
+0.0503845
+0.0501916
+0.0500939
+0.0500919
+0.0501855
+0.0503744
+0.0506574
+0.0510329
+0.0514852
+0.0520216
+0.0526438
+0.0533488
+0.0541334
+0.0544098
+0.0544568
+0.0545919
+0.0548142
+0.0535794
+0.0515644
+0.0495643
+0.0475811
+0.0456168
+0.043674
+0.0417558
+0.0398657
+0.0380079
+0.0361873
+0.0344013
+0.0326613
+0.0309785
+0.0293415
+0.0277361
+0.0262141
+0.0247844
+0.023276
+0.0216639
+0.0201398
+0.0187394
+0.01747
+0.0163379
+0.0152924
+0.0144965
+0.0138545
+0.0134238
+0.0123251
+0.011458
+0.0108941
+0.0107548
+0.0110566
+0.0117655
+0.0127424
+0.013996
+0.0154598
+0.0170798
+0.0188105
+0.0170851
+0.0149794
+0.0128987
+0.0108552
+0.00887531
+0.00687154
+0.00494861
+0.00324478
+0.00181777
+0.000841932
+0.000210707
+-4.71849e-05
+-0.000355092
+0.000104845
+0.000959871
+0.00186686
+0.00294044
+0.00430932
+0.00602472
+0.00795507
+0.00999337
+0.0120851
+0.0141905
+0.0162415
+0.0182428
+0.020267
+0.0223224
+0.0243948
+0.0264859
+0.028592
+0.0307099
+0.0328373
+0.0349726
+0.0371143
+0.0392615
+0.0414107
+0.0429772
+0.0433006
+0.0437316
+0.0442669
+0.0448983
+0.0456191
+0.0530175
+0.0525787
+0.0522243
+0.0519459
+0.0517588
+0.051664
+0.0516621
+0.0517529
+0.0519361
+0.0522106
+0.052575
+0.0530191
+0.0535402
+0.054145
+0.0548307
+0.0555943
+0.0563997
+0.0564451
+0.0565754
+0.0556392
+0.0536121
+0.0515984
+0.0495997
+0.0476179
+0.0456552
+0.0437142
+0.0417978
+0.0399097
+0.038054
+0.0362357
+0.0344522
+0.0327149
+0.031035
+0.0294143
+0.0278312
+0.0263143
+0.0248887
+0.0234306
+0.0218718
+0.020364
+0.0189802
+0.017728
+0.016627
+0.0156018
+0.0148064
+0.0141711
+0.0137331
+0.0135477
+0.0135338
+0.0130595
+0.0129435
+0.0131953
+0.0137948
+0.0146638
+0.0157653
+0.0170741
+0.0181217
+0.0193391
+0.017592
+0.0155116
+0.0134663
+0.0114748
+0.00955025
+0.00774238
+0.0060359
+0.00447783
+0.00337695
+0.00260295
+0.00210947
+0.00211449
+0.00173887
+0.0016703
+0.00197769
+0.00252547
+0.00337768
+0.00460492
+0.00625251
+0.0081414
+0.0101134
+0.0121595
+0.0142487
+0.0162352
+0.0182372
+0.020262
+0.0223179
+0.0243906
+0.0264821
+0.0285884
+0.0307066
+0.0328343
+0.0349697
+0.0371116
+0.0392589
+0.0414082
+0.0435599
+0.0447116
+0.0451291
+0.045648
+0.0462606
+0.0469605
+0.0545951
+0.0541691
+0.0538214
+0.0535514
+0.0533699
+0.053278
+0.0532761
+0.0533642
+0.0535418
+0.0538081
+0.0541618
+0.0545979
+0.055104
+0.0556918
+0.0563587
+0.0571019
+0.0579184
+0.0584478
+0.0577917
+0.0557569
+0.0537342
+0.0517253
+0.0497317
+0.0477553
+0.0457985
+0.0438638
+0.0419543
+0.0400735
+0.0382258
+0.0364161
+0.0346419
+0.0329146
+0.0312455
+0.0296362
+0.0280661
+0.0265624
+0.0251506
+0.0237854
+0.0222561
+0.0207968
+0.0194438
+0.0182472
+0.0171667
+0.0161899
+0.0153929
+0.0147979
+0.0143324
+0.014167
+0.0142529
+0.0145057
+0.0145516
+0.0147761
+0.0152451
+0.0158356
+0.0166605
+0.0174882
+0.0185299
+0.019718
+0.0181672
+0.0161847
+0.014241
+0.0123004
+0.010459
+0.00877963
+0.00728314
+0.005941
+0.00514609
+0.00452525
+0.00418009
+0.00421207
+0.00388041
+0.00371642
+0.00377679
+0.00410311
+0.00469118
+0.0056556
+0.00708435
+0.0088054
+0.0106552
+0.0126137
+0.0145956
+0.016522
+0.018493
+0.0204926
+0.0225274
+0.0245824
+0.0266589
+0.0287523
+0.0308592
+0.032977
+0.0351038
+0.037238
+0.0393784
+0.0415215
+0.0436676
+0.0458179
+0.0465877
+0.0470905
+0.0476846
+0.0483639
+0.0562138
+0.0558001
+0.0554592
+0.0551971
+0.0550211
+0.0549319
+0.05493
+0.0550155
+0.0551878
+0.0554463
+0.0557896
+0.0562162
+0.0567094
+0.0572807
+0.0579293
+0.0586526
+0.0594479
+0.0600271
+0.0579878
+0.0559601
+0.0539451
+0.0519443
+0.0499594
+0.0479925
+0.0460457
+0.0441218
+0.042224
+0.0403557
+0.0385173
+0.0367175
+0.0349624
+0.0332577
+0.0316067
+0.0300168
+0.0284678
+0.0269866
+0.025598
+0.0242852
+0.0228121
+0.0214225
+0.0201117
+0.0189641
+0.0179162
+0.0170269
+0.0162285
+0.0156293
+0.0152059
+0.01507
+0.0151256
+0.0153816
+0.0154358
+0.0156475
+0.0159724
+0.0165369
+0.0173076
+0.0181058
+0.0190908
+0.020252
+0.0189295
+0.01701
+0.0151068
+0.0132926
+0.0115988
+0.0100951
+0.00880026
+0.00770703
+0.00709203
+0.00660026
+0.00630948
+0.00629097
+0.00602547
+0.00583857
+0.00576839
+0.00596601
+0.00640506
+0.00714469
+0.0083436
+0.00986954
+0.0115924
+0.0134148
+0.0152323
+0.0170872
+0.0189958
+0.0209474
+0.0229423
+0.0249658
+0.0270128
+0.0290807
+0.0311654
+0.0332637
+0.0353733
+0.0374921
+0.0396188
+0.0417496
+0.0438845
+0.0460247
+0.0481018
+0.048589
+0.049165
+0.0498241
+0.0578702
+0.0574684
+0.0571339
+0.0568796
+0.0567088
+0.0566223
+0.0566205
+0.0567034
+0.0568706
+0.0571214
+0.0574547
+0.0578691
+0.0583529
+0.0589082
+0.0595391
+0.0602431
+0.0610176
+0.0602876
+0.0582592
+0.056243
+0.0542403
+0.0522527
+0.0502795
+0.0483222
+0.0463857
+0.0444729
+0.0425868
+0.0407312
+0.0389105
+0.0371298
+0.0353951
+0.0337136
+0.032092
+0.0305353
+0.0290298
+0.0275788
+0.0262213
+0.0249258
+0.0235484
+0.0222307
+0.0209804
+0.0198829
+0.0188915
+0.0180336
+0.0172605
+0.0166863
+0.0163126
+0.0161784
+0.0162156
+0.0164546
+0.0165436
+0.0166699
+0.0169535
+0.0174823
+0.018153
+0.0189176
+0.0198723
+0.0209903
+0.0198652
+0.0179974
+0.016207
+0.0145218
+0.0129815
+0.0116062
+0.0104938
+0.00961077
+0.00912499
+0.00872968
+0.00847019
+0.00842553
+0.00819424
+0.00799777
+0.00783892
+0.00798197
+0.0082827
+0.00889113
+0.00990996
+0.0112249
+0.012774
+0.014428
+0.0160991
+0.0178778
+0.019697
+0.0215854
+0.0235262
+0.0255075
+0.0275206
+0.0295589
+0.0316177
+0.0336908
+0.0357751
+0.0378715
+0.039978
+0.0420906
+0.0442091
+0.0463342
+0.0484652
+0.0501385
+0.0506968
+0.0513363
+0.059561
+0.0591697
+0.0588426
+0.0585957
+0.0584299
+0.058346
+0.0583442
+0.0584247
+0.058587
+0.0588305
+0.0591541
+0.0595567
+0.0600313
+0.0605713
+0.061185
+0.0618702
+0.0626246
+0.0606035
+0.058586
+0.0565814
+0.0545912
+0.0526168
+0.0506603
+0.0487236
+0.0468094
+0.0449205
+0.0430544
+0.0412199
+0.0394218
+0.0376652
+0.0359564
+0.0343011
+0.0327028
+0.0311766
+0.0297335
+0.0283284
+0.0269784
+0.0257159
+0.0244593
+0.0231935
+0.0220219
+0.0209662
+0.0200379
+0.0192135
+0.0184688
+0.0179313
+0.0176019
+0.0174796
+0.0175129
+0.0177345
+0.0178022
+0.0178307
+0.018104
+0.0185938
+0.019176
+0.0199112
+0.0208403
+0.0219119
+0.0209474
+0.0191784
+0.0174983
+0.0159219
+0.0145059
+0.0132947
+0.0123356
+0.0116161
+0.0112175
+0.0108719
+0.0105825
+0.010583
+0.0103559
+0.0101704
+0.00991186
+0.0100413
+0.0102679
+0.0107647
+0.0116588
+0.0128089
+0.0141903
+0.0156462
+0.0171993
+0.0188694
+0.0206064
+0.02242
+0.0242943
+0.0262176
+0.02818
+0.0301739
+0.0321933
+0.0342338
+0.0362918
+0.0383645
+0.0404497
+0.0425419
+0.0446389
+0.0467445
+0.0488576
+0.0509773
+0.0522756
+0.052896
+0.0612836
+0.0609001
+0.0605823
+0.0603425
+0.0601815
+0.0601001
+0.0600984
+0.0601765
+0.060334
+0.0605705
+0.0608849
+0.0612761
+0.0617417
+0.062267
+0.0628641
+0.0635312
+0.0630129
+0.0609965
+0.0589925
+0.0570022
+0.0550271
+0.053069
+0.0511297
+0.0492116
+0.0473171
+0.0454493
+0.0436115
+0.0418077
+0.0400426
+0.0383139
+0.0366288
+0.0349997
+0.0334348
+0.0319435
+0.0305368
+0.0291946
+0.0278826
+0.0266629
+0.0255261
+0.0243159
+0.0232143
+0.0222022
+0.0213278
+0.0205339
+0.019814
+0.019314
+0.0190085
+0.01893
+0.0189516
+0.0191565
+0.0191459
+0.0191724
+0.0194268
+0.0198708
+0.0203812
+0.0210863
+0.0219616
+0.0229765
+0.0221638
+0.0204923
+0.0189127
+0.0174644
+0.0161839
+0.0150993
+0.0142621
+0.0136784
+0.0133416
+0.0129712
+0.0127081
+0.0127519
+0.0125027
+0.0122281
+0.0120075
+0.0121105
+0.012323
+0.0127399
+0.0135038
+0.0145473
+0.0157802
+0.0170515
+0.0184869
+0.0200495
+0.0216923
+0.0234249
+0.0252288
+0.0270868
+0.0289904
+0.030932
+0.032905
+0.0349039
+0.0369246
+0.0389636
+0.0410183
+0.0430865
+0.0451661
+0.0472529
+0.0493443
+0.0514439
+0.0535508
+0.0544992
+0.0630352
+0.0626592
+0.0623505
+0.0621175
+0.0619611
+0.061882
+0.0618803
+0.0619562
+0.0621093
+0.062339
+0.0626445
+0.0630248
+0.0634784
+0.0639927
+0.0645739
+0.0652236
+0.0634667
+0.0614651
+0.0594769
+0.0575033
+0.0555461
+0.0536069
+0.0516879
+0.0497912
+0.0479197
+0.0460763
+0.0442645
+0.0424885
+0.0407528
+0.0390588
+0.0374073
+0.0358136
+0.0342859
+0.0328333
+0.0314663
+0.030189
+0.0289207
+0.0277467
+0.0266998
+0.0255454
+0.0245026
+0.0235774
+0.0227558
+0.0219663
+0.0212949
+0.0208333
+0.0205529
+0.0204803
+0.0205081
+0.0206976
+0.0206352
+0.0206597
+0.020896
+0.0212509
+0.0217284
+0.0224109
+0.0232314
+0.0241931
+0.0235017
+0.0219324
+0.0204643
+0.0191338
+0.0179651
+0.0169871
+0.0162475
+0.0157431
+0.0154629
+0.0150829
+0.0148479
+0.0148859
+0.014661
+0.0143178
+0.0141294
+0.0142041
+0.0143921
+0.0147759
+0.0154394
+0.0163713
+0.0174359
+0.0185856
+0.0199108
+0.0213788
+0.0229365
+0.0245816
+0.0263063
+0.0280961
+0.0299364
+0.0318203
+0.0337414
+0.0356935
+0.0376718
+0.0396725
+0.0416923
+0.0437285
+0.045779
+0.047842
+0.0499158
+0.0519986
+0.054084
+0.055927
+0.0648135
+0.0644449
+0.0641447
+0.0639183
+0.0637663
+0.0636894
+0.0636878
+0.0637615
+0.0639103
+0.0641336
+0.0644306
+0.0648004
+0.0652416
+0.0657462
+0.066312
+0.0659898
+0.0639922
+0.0620076
+0.0600373
+0.0580829
+0.0561458
+0.0542281
+0.0523318
+0.0504594
+0.0486136
+0.0467975
+0.0450148
+0.0432696
+0.0415666
+0.0399071
+0.0382922
+0.0367369
+0.0352492
+0.033838
+0.0325133
+0.0312753
+0.0300565
+0.0289286
+0.0279261
+0.0268936
+0.0259054
+0.0250597
+0.0242978
+0.0234989
+0.0228725
+0.0224434
+0.0221863
+0.0221318
+0.0221696
+0.022345
+0.0222245
+0.0222473
+0.022483
+0.0227581
+0.0232047
+0.0238449
+0.0246258
+0.025535
+0.0249605
+0.0234888
+0.0221243
+0.0208849
+0.0198091
+0.0189267
+0.0182612
+0.0177942
+0.0175483
+0.0172144
+0.0170006
+0.0170063
+0.0167419
+0.0164338
+0.0162694
+0.0162951
+0.0164638
+0.0168508
+0.0174355
+0.0182615
+0.0191907
+0.020241
+0.0214642
+0.0228325
+0.0243148
+0.0258724
+0.0275163
+0.0292321
+0.031005
+0.0328277
+0.034693
+0.0365944
+0.0385265
+0.040485
+0.0424662
+0.044467
+0.0464849
+0.0485178
+0.050564
+0.0526217
+0.0546898
+0.0567662
+0.0666164
+0.0662548
+0.0659629
+0.0657427
+0.065595
+0.0655202
+0.0655187
+0.0655903
+0.0657349
+0.0659521
+0.0662409
+0.0666007
+0.0670301
+0.0675252
+0.0680762
+0.0665676
+0.0645878
+0.0626221
+0.0606718
+0.0587384
+0.0568237
+0.0549297
+0.0530585
+0.0512126
+0.049395
+0.0476087
+0.0458576
+0.0441457
+0.0424778
+0.0408554
+0.0392794
+0.0377648
+0.0363192
+0.0349513
+0.0336704
+0.032448
+0.0313045
+0.0302233
+0.0292651
+0.0283471
+0.0274117
+0.0266165
+0.0258764
+0.0251292
+0.0245445
+0.0241423
+0.0238987
+0.0238482
+0.0239121
+0.0240608
+0.0238853
+0.0239066
+0.0241275
+0.0243688
+0.0247864
+0.0253867
+0.0261254
+0.0269841
+0.0265202
+0.0251354
+0.0238498
+0.0227032
+0.0217177
+0.0209159
+0.0202943
+0.0198752
+0.0196565
+0.0193592
+0.0191557
+0.0191367
+0.0188477
+0.0185671
+0.0184212
+0.0184093
+0.018552
+0.0189229
+0.0194454
+0.0201894
+0.0210113
+0.0219807
+0.023112
+0.0243881
+0.0257874
+0.0272783
+0.0288422
+0.0304834
+0.0321875
+0.0339468
+0.0357538
+0.0376015
+0.0394844
+0.0413976
+0.043337
+0.0452994
+0.0472818
+0.0492819
+0.0512976
+0.053327
+0.0553688
+0.0574206
+0.0684402
+0.0680871
+0.0678031
+0.0675889
+0.0674452
+0.0673725
+0.067371
+0.0674407
+0.0675814
+0.0677925
+0.0680736
+0.0684237
+0.0688418
+0.0693266
+0.0691858
+0.0672118
+0.0652515
+0.0633064
+0.0613779
+0.0594675
+0.0575771
+0.0557086
+0.0538645
+0.0520472
+0.0502598
+0.0485054
+0.0467878
+0.0451112
+0.0434804
+0.0418968
+0.0403615
+0.0388891
+0.0374869
+0.0361632
+0.0349172
+0.0337223
+0.0326298
+0.0316169
+0.0307023
+0.0298594
+0.0290038
+0.0282398
+0.027525
+0.0268394
+0.0262927
+0.0259109
+0.025684
+0.0256371
+0.0257217
+0.0257891
+0.025626
+0.0256457
+0.025808
+0.026043
+0.0264341
+0.0269979
+0.0277171
+0.028528
+0.028164
+0.0268448
+0.025645
+0.0245823
+0.0236751
+0.0229314
+0.0223572
+0.0219773
+0.0217728
+0.0215132
+0.0212964
+0.0212793
+0.0209709
+0.0207124
+0.0205812
+0.0205393
+0.0206562
+0.0209943
+0.0214821
+0.022141
+0.0228898
+0.0237868
+0.024836
+0.0260277
+0.0273432
+0.0287656
+0.0302688
+0.0318365
+0.0334718
+0.0351669
+0.0369142
+0.0387066
+0.0405382
+0.0424038
+0.0442992
+0.0462208
+0.0481653
+0.0501301
+0.052113
+0.0541118
+0.0561251
+0.0581502
+0.0702838
+0.0699401
+0.0696636
+0.0694552
+0.0693154
+0.0692446
+0.0692431
+0.0693109
+0.0694478
+0.0696533
+0.0699269
+0.0702678
+0.0706749
+0.0711472
+0.0698746
+0.0679205
+0.0659814
+0.0640584
+0.0621532
+0.0602674
+0.0584029
+0.0565618
+0.0547464
+0.0529594
+0.0512038
+0.0494828
+0.0478004
+0.0461606
+0.0445682
+0.0430192
+0.0415255
+0.0400958
+0.0387373
+0.0374578
+0.0362371
+0.0350873
+0.0340386
+0.0330922
+0.0322196
+0.0314223
+0.0306496
+0.0299311
+0.0292449
+0.0286082
+0.028103
+0.0277396
+0.0275278
+0.0274841
+0.0275707
+0.0275825
+0.0274312
+0.0274496
+0.0275562
+0.0277872
+0.0281547
+0.0286846
+0.0293645
+0.0301455
+0.0298592
+0.0286181
+0.0274958
+0.0265074
+0.0256642
+0.0249697
+0.0244424
+0.0240895
+0.0238998
+0.0236656
+0.0234464
+0.0234309
+0.0231067
+0.0228663
+0.0227368
+0.0226769
+0.0227767
+0.0230837
+0.0235465
+0.0241308
+0.0248196
+0.025653
+0.0266287
+0.0277435
+0.0289812
+0.0303269
+0.0317668
+0.0332789
+0.0348465
+0.0364778
+0.0381651
+0.0399014
+0.0416805
+0.0434972
+0.0453469
+0.0472259
+0.0491306
+0.0510583
+0.0530065
+0.0549728
+0.0569556
+0.0589523
+0.0721468
+0.0718121
+0.0715428
+0.0713399
+0.0712037
+0.0711349
+0.0711334
+0.0711994
+0.0713327
+0.0715328
+0.0717992
+0.0721313
+0.0725279
+0.0725142
+0.0705995
+0.0686919
+0.0667752
+0.0648757
+0.0629953
+0.0611354
+0.0592982
+0.0574857
+0.0557005
+0.0539451
+0.0522226
+0.0505364
+0.0488902
+0.0472865
+0.0457223
+0.0442113
+0.0427592
+0.0413722
+0.040057
+0.038821
+0.0376352
+0.0365293
+0.0355242
+0.0346175
+0.0337947
+0.0330529
+0.0323594
+0.0316758
+0.0310242
+0.0304247
+0.0299613
+0.0296176
+0.0294193
+0.0293785
+0.0294663
+0.0294298
+0.029289
+0.0293063
+0.0293638
+0.0295807
+0.0299367
+0.0304356
+0.0310773
+0.0318163
+0.0316104
+0.0304408
+0.0293882
+0.0284656
+0.0276746
+0.0270319
+0.0265445
+0.0262116
+0.0260374
+0.0258041
+0.0256033
+0.0255717
+0.0252519
+0.025014
+0.0248869
+0.0248192
+0.0249093
+0.0251904
+0.0256319
+0.0261526
+0.0267895
+0.0275669
+0.0284772
+0.0295222
+0.0306883
+0.0319621
+0.0333315
+0.0347849
+0.0363015
+0.0378702
+0.0394981
+0.0411782
+0.0429044
+0.0446713
+0.0464743
+0.0483094
+0.0501731
+0.0520622
+0.0539741
+0.0559065
+0.0578573
+0.0598238
+0.0740278
+0.0737016
+0.0734393
+0.0732416
+0.073109
+0.0730419
+0.0730405
+0.0731048
+0.0732346
+0.0734295
+0.0736891
+0.0740126
+0.0743993
+0.0732773
+0.0713831
+0.0695063
+0.0676306
+0.0657559
+0.0639013
+0.0620686
+0.0602599
+0.0584772
+0.0567232
+0.0550004
+0.0533121
+0.0516614
+0.0500467
+0.0484726
+0.0469479
+0.0454777
+0.0440673
+0.0427228
+0.0414505
+0.0402493
+0.0390947
+0.0380313
+0.037067
+0.0361887
+0.0354195
+0.0347333
+0.0341242
+0.0334692
+0.0328532
+0.0322877
+0.0318514
+0.0315359
+0.0313497
+0.0313046
+0.0313882
+0.0313213
+0.0311901
+0.0311695
+0.0312205
+0.0314246
+0.0317698
+0.0322404
+0.0328468
+0.0335469
+0.0334133
+0.0323091
+0.0313193
+0.0304545
+0.0297106
+0.0291128
+0.02866
+0.0283441
+0.0281831
+0.0279508
+0.0277654
+0.0276828
+0.0274043
+0.0271626
+0.0270436
+0.0269682
+0.0270512
+0.0273103
+0.0277335
+0.0281997
+0.0287914
+0.0295193
+0.0303711
+0.0313531
+0.0324535
+0.0336606
+0.0349635
+0.0363517
+0.037816
+0.0393353
+0.0409049
+0.0425295
+0.044203
+0.04592
+0.0476758
+0.0494663
+0.051288
+0.0531375
+0.055012
+0.0569092
+0.0588267
+0.0607619
+0.0759254
+0.0756074
+0.0753517
+0.075159
+0.0750298
+0.0749645
+0.0749631
+0.0750258
+0.0751522
+0.0753422
+0.0755952
+0.0759106
+0.0759872
+0.0740974
+0.072224
+0.0703677
+0.0685311
+0.0666964
+0.0648687
+0.0630642
+0.0612848
+0.0595328
+0.0578108
+0.0561215
+0.0544678
+0.0528445
+0.0512626
+0.049727
+0.048242
+0.0468124
+0.0454435
+0.0441409
+0.0429069
+0.0417324
+0.0406199
+0.0395976
+0.0386652
+0.0378216
+0.0370863
+0.0364626
+0.0359016
+0.0353075
+0.0347241
+0.0341896
+0.0337778
+0.0334876
+0.0333124
+0.0332628
+0.0333351
+0.0332496
+0.033127
+0.0330699
+0.0331181
+0.0333105
+0.0336448
+0.0340905
+0.0346645
+0.0353287
+0.0352602
+0.0342156
+0.0332826
+0.032464
+0.0317671
+0.0312088
+0.0307859
+0.0304849
+0.0303353
+0.0301038
+0.0299317
+0.0298054
+0.0295623
+0.0293175
+0.0292046
+0.0291235
+0.0292004
+0.0294405
+0.02984
+0.0302669
+0.0308189
+0.0315031
+0.0323026
+0.0332276
+0.0342678
+0.0354132
+0.0366538
+0.0379803
+0.0393841
+0.0408572
+0.0423784
+0.0439485
+0.0455699
+0.0472373
+0.0489459
+0.0506916
+0.0524707
+0.0542799
+0.0561163
+0.0579773
+0.0598607
+0.0617635
+0.0778384
+0.0775282
+0.0772789
+0.077091
+0.0769651
+0.0769014
+0.0769001
+0.0769611
+0.0770844
+0.0772696
+0.0775164
+0.077824
+0.0768398
+0.0749698
+0.0731176
+0.0712845
+0.0694722
+0.0676823
+0.0658948
+0.0641191
+0.0623698
+0.0606492
+0.0589599
+0.0573016
+0.0556741
+0.0540862
+0.0525418
+0.0510446
+0.0495991
+0.0482098
+0.0468817
+0.0456175
+0.044422
+0.0432756
+0.0422038
+0.0412205
+0.040317
+0.0395085
+0.0388052
+0.0382146
+0.0377128
+0.037184
+0.0366305
+0.0361242
+0.0357347
+0.0354673
+0.0353019
+0.0352483
+0.0353016
+0.0351993
+0.0350937
+0.0350044
+0.0350498
+0.0352317
+0.0355479
+0.0359788
+0.0365232
+0.0371542
+0.0371444
+0.0361543
+0.0352727
+0.0344955
+0.0338405
+0.0333169
+0.0329159
+0.0326306
+0.0324909
+0.0322618
+0.0320646
+0.0319372
+0.0317139
+0.0314773
+0.0313642
+0.0312837
+0.0313553
+0.031579
+0.0319518
+0.0323504
+0.0328674
+0.0335127
+0.0342654
+0.0351387
+0.0361239
+0.0372122
+0.0383947
+0.0396631
+0.0410093
+0.042426
+0.0439063
+0.045429
+0.0469993
+0.0486176
+0.0502794
+0.0519803
+0.0537167
+0.0554853
+0.0572831
+0.0591074
+0.0609558
+0.0628255
+0.0797657
+0.079463
+0.0792198
+0.0790365
+0.0789137
+0.0788516
+0.0788503
+0.0789098
+0.0790301
+0.0792108
+0.0794514
+0.0796073
+0.0777421
+0.0758942
+0.0740651
+0.0722561
+0.0704688
+0.0687049
+0.0669661
+0.0652306
+0.0635119
+0.0618159
+0.0601511
+0.0585209
+0.0569283
+0.0553766
+0.0538693
+0.0524103
+0.0510036
+0.0496538
+0.0483656
+0.0471323
+0.045962
+0.0448682
+0.0438389
+0.0428858
+0.0420181
+0.0412428
+0.0405695
+0.040005
+0.039547
+0.0390932
+0.0385671
+0.0380866
+0.0377174
+0.0374704
+0.0373099
+0.0372568
+0.037293
+0.0371711
+0.037054
+0.0369674
+0.0370104
+0.0371827
+0.0374825
+0.0378997
+0.0384124
+0.0390173
+0.0390607
+0.0381204
+0.0372817
+0.0365454
+0.0359278
+0.0354351
+0.0350363
+0.0347684
+0.0346372
+0.0344239
+0.0341959
+0.0340521
+0.0338626
+0.0336412
+0.0335243
+0.0334479
+0.0335148
+0.0337243
+0.0340735
+0.0344472
+0.0349332
+0.0355437
+0.0362542
+0.0370807
+0.0380156
+0.0390512
+0.0401797
+0.0413933
+0.042685
+0.0440479
+0.0454754
+0.0469618
+0.0484848
+0.0500551
+0.0516707
+0.0533273
+0.0550212
+0.0567491
+0.0585081
+0.0602953
+0.0621084
+0.0639449
+0.0817063
+0.0814108
+0.0811734
+0.0809946
+0.0808747
+0.0808141
+0.0808128
+0.0808709
+0.0809883
+0.0811646
+0.0813995
+0.0805381
+0.0786949
+0.07687
+0.0750647
+0.0732804
+0.0715187
+0.0697813
+0.06807
+0.0663757
+0.0646798
+0.0630145
+0.0613821
+0.0597855
+0.0582275
+0.0567114
+0.0552406
+0.0538187
+0.0524498
+0.0511382
+0.0498797
+0.0486769
+0.0475446
+0.046488
+0.0455088
+0.0445965
+0.0437627
+0.0430187
+0.0423737
+0.0418336
+0.0413872
+0.0410274
+0.0405277
+0.0400712
+0.0397219
+0.0394897
+0.0393342
+0.0392838
+0.0393057
+0.0391661
+0.0390358
+0.0389547
+0.0389955
+0.0391591
+0.0394438
+0.0398472
+0.040329
+0.0409125
+0.0410044
+0.0401097
+0.0393085
+0.0386108
+0.0380268
+0.0375435
+0.0371648
+0.0369123
+0.0367888
+0.0365682
+0.0363343
+0.0361697
+0.0360164
+0.0358083
+0.0356871
+0.0356153
+0.0356782
+0.035875
+0.0362035
+0.036555
+0.0370133
+0.0375926
+0.0382651
+0.0390491
+0.039938
+0.0409249
+0.042003
+0.0431655
+0.0444057
+0.0457172
+0.0470942
+0.048531
+0.0500201
+0.0515437
+0.0531139
+0.0547268
+0.0563787
+0.0580663
+0.0597865
+0.0615366
+0.0633142
+0.0651169
+0.0836592
+0.0833706
+0.0831388
+0.0829642
+0.0828472
+0.0827881
+0.0827868
+0.0828435
+0.0829581
+0.0831302
+0.0833555
+0.0815172
+0.0796967
+0.0778952
+0.0761142
+0.0743551
+0.0726195
+0.070909
+0.0692256
+0.0675644
+0.0658991
+0.0642654
+0.0626656
+0.0611025
+0.059579
+0.0580982
+0.0566633
+0.0552781
+0.0539462
+0.0526661
+0.0514351
+0.0502695
+0.0491739
+0.0481531
+0.0472119
+0.0463448
+0.045546
+0.0448314
+0.0442128
+0.0436939
+0.04326
+0.0429336
+0.0424912
+0.0420705
+0.0417449
+0.0415243
+0.0413716
+0.0413236
+0.0413365
+0.041181
+0.0410321
+0.0409547
+0.0409936
+0.0411492
+0.0414203
+0.0418045
+0.0422722
+0.0428299
+0.0429719
+0.0421181
+0.0413519
+0.0406893
+0.0401334
+0.0396585
+0.0393001
+0.0390615
+0.0389448
+0.0387022
+0.0384742
+0.0382955
+0.0381744
+0.0379781
+0.037853
+0.0377854
+0.0378447
+0.0380303
+0.0383403
+0.038672
+0.0391055
+0.0396555
+0.0402947
+0.04104
+0.0418866
+0.0428287
+0.0438601
+0.0449745
+0.0461661
+0.047429
+0.0487577
+0.0501469
+0.0515917
+0.0530809
+0.0546069
+0.056177
+0.0577875
+0.0594351
+0.0611168
+0.0628298
+0.0645718
+0.0663404
+0.0856236
+0.0853417
+0.0851153
+0.0849447
+0.0848305
+0.0847727
+0.0847715
+0.0848268
+0.0849387
+0.0851068
+0.0843587
+0.0825428
+0.0807454
+0.0789679
+0.0772116
+0.0754781
+0.0737689
+0.0720857
+0.0704305
+0.0688023
+0.0671677
+0.0655656
+0.0639984
+0.0624686
+0.0609792
+0.0595332
+0.0581338
+0.0567845
+0.0554855
+0.05423
+0.0530354
+0.0519057
+0.0508454
+0.0498588
+0.0489504
+0.0481216
+0.0473604
+0.0466745
+0.0460807
+0.0455773
+0.0451614
+0.0448488
+0.0444758
+0.0440709
+0.0437613
+0.0435599
+0.0434238
+0.0433696
+0.0433828
+0.0432108
+0.0430456
+0.0429712
+0.0430083
+0.0431566
+0.0434152
+0.0437819
+0.0442386
+0.0447718
+0.04496
+0.0441402
+0.0434097
+0.042779
+0.0422323
+0.0417812
+0.0414412
+0.041215
+0.0411044
+0.0408423
+0.0405975
+0.0404282
+0.0403358
+0.0401499
+0.0400217
+0.0399577
+0.0400138
+0.0401894
+0.0404829
+0.0407968
+0.0412079
+0.0417302
+0.0423404
+0.0430503
+0.0438581
+0.0447587
+0.0457466
+0.0468162
+0.0479621
+0.0491789
+0.0504615
+0.051805
+0.0532048
+0.0546566
+0.0561457
+0.0576739
+0.0592437
+0.0608519
+0.0624955
+0.0641718
+0.0658782
+0.0676126
+0.0875987
+0.0873232
+0.0871019
+0.0869353
+0.0868237
+0.0867672
+0.086766
+0.0868201
+0.0869294
+0.0870937
+0.0854064
+0.0836132
+0.0818394
+0.0800861
+0.078355
+0.0766473
+0.0749647
+0.073309
+0.071682
+0.0700833
+0.0684792
+0.0669083
+0.0653731
+0.0638762
+0.0624203
+0.0610083
+0.0596433
+0.0583288
+0.0570563
+0.0558362
+0.0546766
+0.0535815
+0.052555
+0.0516011
+0.050723
+0.0499228
+0.0491895
+0.048536
+0.0479654
+0.047487
+0.047088
+0.0467883
+0.046479
+0.0460886
+0.0457926
+0.0456002
+0.0454776
+0.0454136
+0.0454399
+0.0452341
+0.0450752
+0.0450041
+0.0450394
+0.0451811
+0.0454281
+0.0457788
+0.0462251
+0.0467357
+0.0469662
+0.0461777
+0.0454799
+0.0448724
+0.0443401
+0.0439107
+0.0435872
+0.0433722
+0.0432672
+0.0429872
+0.0427277
+0.0425668
+0.0424811
+0.0423199
+0.0421927
+0.042132
+0.0421852
+0.0423517
+0.0426304
+0.0429282
+0.0433191
+0.0438163
+0.0444
+0.0450774
+0.0458495
+0.0467118
+0.0476592
+0.0486868
+0.0497896
+0.0509628
+0.0522016
+0.0535014
+0.054858
+0.0562672
+0.0577251
+0.0592141
+0.0607441
+0.0623135
+0.0639196
+0.0655594
+0.0672307
+0.0689311
+0.0895839
+0.0893145
+0.0890982
+0.0889353
+0.0888261
+0.0887709
+0.0887698
+0.0888227
+0.0889295
+0.0882859
+0.0864969
+0.0847268
+0.0829767
+0.0812481
+0.0795422
+0.0778605
+0.0762048
+0.0745766
+0.0729779
+0.0714043
+0.0698305
+0.0682908
+0.0667874
+0.0653229
+0.0638999
+0.0625213
+0.0611902
+0.0599094
+0.0586668
+0.0574809
+0.0563552
+0.0552934
+0.0542992
+0.0533765
+0.0525263
+0.051754
+0.051047
+0.050419
+0.0498749
+0.0494169
+0.0490367
+0.048749
+0.0484984
+0.0481214
+0.047838
+0.0476538
+0.047532
+0.0474707
+0.0474918
+0.0472723
+0.0471191
+0.047051
+0.0470849
+0.0472204
+0.0474568
+0.0477926
+0.0482256
+0.0487189
+0.0489852
+0.0482286
+0.0475609
+0.0469639
+0.0464555
+0.0460458
+0.0457375
+0.0455326
+0.0454185
+0.0451226
+0.0448636
+0.0447003
+0.0446126
+0.0444865
+0.0443655
+0.0443078
+0.0443584
+0.0445168
+0.044782
+0.0450653
+0.0454378
+0.045912
+0.0464715
+0.0471191
+0.0478584
+0.048685
+0.0495947
+0.050583
+0.0516454
+0.0527773
+0.0539745
+0.0552326
+0.0565477
+0.0579158
+0.0593332
+0.0607942
+0.0622854
+0.0638169
+0.065386
+0.06699
+0.0686265
+0.0702931
+0.0891441
+0.0872047
+0.0852776
+0.0833635
+0.0814633
+0.0795778
+0.0777046
+0.0758471
+0.0740079
+0.0721883
+0.0703898
+0.0686141
+0.0668631
+0.0651386
+0.0634429
+0.0617739
+0.0601382
+0.0585356
+0.0569703
+0.0554475
+0.0539706
+0.0525435
+0.0511705
+0.049856
+0.0486047
+0.0474103
+0.0462739
+0.0452078
+0.0442245
+0.0433298
+0.0425292
+0.0418281
+0.0412316
+0.0407443
+0.0403702
+0.0401124
+0.0399731
+0.0399476
+0.040025
+0.0402217
+0.0405361
+0.0409653
+0.0415059
+0.0421535
+0.0429033
+0.0437501
+0.0446263
+0.0454947
+0.0464501
+0.0474623
+0.0485475
+0.0497044
+0.0509169
+0.0521932
+0.0535287
+0.0549192
+0.0563606
+0.0577844
+0.0590356
+0.0603405
+0.0616956
+0.0630976
+0.0645209
+0.0659748
+0.0674685
+0.0689931
+0.070486
+0.0720138
+0.073563
+0.0751439
+0.0760441
+0.0758724
+0.0757633
+0.075696
+0.0756894
+0.0757461
+0.0758661
+0.0759868
+0.0761106
+0.0762971
+0.0765458
+0.076847
+0.0772064
+0.0776259
+0.0781047
+0.0786416
+0.0792354
+0.0798619
+0.0805429
+0.0812763
+0.0820512
+0.0828768
+0.0837516
+0.084674
+0.0856426
+0.0866557
+0.0877118
+0.0887892
+0.0898962
+0.0910424
+0.0881874
+0.0862266
+0.084277
+0.0823397
+0.0804153
+0.0785049
+0.0766094
+0.0747302
+0.0728655
+0.0710166
+0.0691877
+0.0673803
+0.0655963
+0.0638377
+0.0621065
+0.0604052
+0.0587327
+0.057094
+0.0554933
+0.0539304
+0.0524108
+0.0509401
+0.0495226
+0.0481631
+0.0468666
+0.0456381
+0.0444739
+0.0433635
+0.0423374
+0.0414019
+0.0405633
+0.0398276
+0.0392007
+0.0386878
+0.0382936
+0.0380217
+0.0378748
+0.0378383
+0.03792
+0.0381276
+0.038459
+0.0389112
+0.0394799
+0.0401602
+0.0409465
+0.041804
+0.042618
+0.0435264
+0.0445086
+0.0455588
+0.0466882
+0.0478808
+0.0491383
+0.0504596
+0.0518398
+0.0532744
+0.0547498
+0.0559832
+0.0572738
+0.0586179
+0.0600119
+0.0614344
+0.0628833
+0.0643742
+0.0658979
+0.0673963
+0.0689229
+0.0704727
+0.0720548
+0.0736681
+0.0747963
+0.0746217
+0.0745037
+0.0744354
+0.0744287
+0.074415
+0.074425
+0.0744893
+0.0746156
+0.0748058
+0.0750595
+0.0753718
+0.0757382
+0.0761658
+0.0766537
+0.0772007
+0.0778056
+0.0784502
+0.0791434
+0.0798898
+0.0806782
+0.0815177
+0.0824069
+0.0833442
+0.084328
+0.0853567
+0.0864287
+0.0875188
+0.0886416
+0.0898037
+0.0872752
+0.0852934
+0.0833221
+0.081362
+0.0794139
+0.0774788
+0.0755576
+0.0736515
+0.0717617
+0.0698894
+0.0680346
+0.066196
+0.0643792
+0.0625864
+0.0608196
+0.0590812
+0.0573739
+0.0556977
+0.0540558
+0.052454
+0.0508959
+0.0493818
+0.0479182
+0.0465119
+0.045168
+0.0438919
+0.0426824
+0.0415523
+0.0404809
+0.0395014
+0.0386216
+0.0378482
+0.0371879
+0.0366469
+0.0362305
+0.035943
+0.0357834
+0.0357358
+0.0358222
+0.0360419
+0.0363924
+0.0368699
+0.0374696
+0.0381857
+0.0390099
+0.0397738
+0.0406285
+0.0415758
+0.0425857
+0.0436821
+0.0448532
+0.0460892
+0.0473942
+0.0487628
+0.0501897
+0.0516701
+0.052936
+0.0542106
+0.0555425
+0.0569275
+0.058349
+0.0597925
+0.0612803
+0.062803
+0.0643074
+0.0658327
+0.0673832
+0.0689665
+0.0705824
+0.072225
+0.0735926
+0.0734123
+0.0732872
+0.073121
+0.0729998
+0.0729442
+0.0729544
+0.0730268
+0.0731556
+0.0733496
+0.0736083
+0.0739304
+0.0743041
+0.0747399
+0.075237
+0.0757943
+0.0764102
+0.077075
+0.0777804
+0.07854
+0.0793418
+0.0801953
+0.081099
+0.0820513
+0.0830504
+0.0840948
+0.0851732
+0.0862816
+0.0874238
+0.0886019
+0.0864044
+0.0844069
+0.0824143
+0.0804321
+0.0784609
+0.0765017
+0.0745554
+0.072623
+0.0707056
+0.0688046
+0.0669213
+0.0650573
+0.0632136
+0.0613878
+0.0595855
+0.05781
+0.0560639
+0.0543501
+0.0526701
+0.0510248
+0.0494219
+0.0478655
+0.0463603
+0.0449068
+0.0435134
+0.0421873
+0.0409274
+0.0397474
+0.0386558
+0.0376326
+0.0367079
+0.0358933
+0.0351964
+0.0346243
+0.0341832
+0.0338784
+0.0336934
+0.0336428
+0.0337346
+0.0339678
+0.0343394
+0.0348451
+0.035479
+0.0362321
+0.0369637
+0.0377616
+0.0386608
+0.0396318
+0.0406899
+0.0418356
+0.0430471
+0.0443334
+0.0456886
+0.0471068
+0.0485823
+0.0498951
+0.0511517
+0.0524697
+0.0538446
+0.0552652
+0.0567025
+0.0581868
+0.0597084
+0.0612194
+0.0627433
+0.0642944
+0.0658792
+0.0674978
+0.0691423
+0.0708085
+0.0723835
+0.0721002
+0.0718805
+0.0716903
+0.0715667
+0.07151
+0.0715203
+0.0715978
+0.0717328
+0.0719307
+0.0721944
+0.0725235
+0.0729075
+0.0733516
+0.0738581
+0.0744256
+0.0750528
+0.0757382
+0.0764559
+0.0772287
+0.0780441
+0.0789116
+0.0798299
+0.0807971
+0.0818116
+0.0828572
+0.0839382
+0.0850604
+0.0862152
+0.0874096
+0.0855746
+0.0835573
+0.081549
+0.0795502
+0.0775581
+0.0755755
+0.0736047
+0.0716467
+0.0697025
+0.0677733
+0.0658605
+0.0639656
+0.0620901
+0.0602359
+0.0584049
+0.0565951
+0.0548103
+0.053056
+0.0513351
+0.0496512
+0.0480024
+0.0463985
+0.0448442
+0.043345
+0.0419064
+0.0405294
+0.0392162
+0.0379832
+0.0368392
+0.0357829
+0.0348092
+0.033949
+0.0332113
+0.0326044
+0.0321356
+0.0318112
+0.0316171
+0.0315631
+0.031661
+0.0319093
+0.0323046
+0.0328416
+0.0335105
+0.0342035
+0.034927
+0.0357703
+0.0367016
+0.0377147
+0.0388252
+0.0400135
+0.0412781
+0.0426179
+0.044026
+0.0454954
+0.0468617
+0.0480978
+0.0494002
+0.0507637
+0.052183
+0.0536135
+0.0550939
+0.0566142
+0.0581325
+0.0596548
+0.0612066
+0.0627929
+0.0644146
+0.066061
+0.0677322
+0.0694323
+0.0709407
+0.0706516
+0.070429
+0.0702615
+0.0701575
+0.0700997
+0.0701102
+0.0701892
+0.0703364
+0.070551
+0.0708201
+0.0711555
+0.0715469
+0.0719994
+0.0725153
+0.0730933
+0.0737318
+0.0744294
+0.0751719
+0.0759579
+0.076787
+0.0776686
+0.0786013
+0.0795826
+0.0805884
+0.0816407
+0.0827375
+0.0838749
+0.0850454
+0.0862541
+0.0847934
+0.082757
+0.0807287
+0.0787092
+0.076699
+0.074699
+0.0727076
+0.0707248
+0.0687545
+0.066798
+0.0648564
+0.0629312
+0.061024
+0.0591363
+0.0572703
+0.055428
+0.0536119
+0.0518221
+0.050059
+0.0483307
+0.0466414
+0.0449903
+0.0433856
+0.0418341
+0.040342
+0.038916
+0.0375549
+0.0362655
+0.0350655
+0.0339646
+0.0329466
+0.0320365
+0.0312537
+0.030608
+0.0301082
+0.0297616
+0.0295572
+0.0294995
+0.0296042
+0.0298696
+0.0302916
+0.0308596
+0.0315061
+0.0321412
+0.0329101
+0.0338014
+0.0347611
+0.0358291
+0.0369907
+0.0382298
+0.0395515
+0.0409478
+0.0424089
+0.0438301
+0.04505
+0.0463344
+0.0476849
+0.0490961
+0.0505255
+0.0520016
+0.0535204
+0.0550468
+0.0565673
+0.0581199
+0.0597078
+0.0613328
+0.0629814
+0.064658
+0.0663645
+0.0680987
+0.069537
+0.069242
+0.0690153
+0.0688458
+0.068744
+0.068712
+0.0687411
+0.0688216
+0.0689717
+0.0691908
+0.0694753
+0.0698172
+0.0702257
+0.0706892
+0.0712147
+0.0718031
+0.072453
+0.0731628
+0.0739306
+0.0747297
+0.0755725
+0.076468
+0.0774038
+0.0783764
+0.0793975
+0.0804653
+0.0815761
+0.0827209
+0.0839059
+0.0851308
+0.0840619
+0.0820074
+0.0799601
+0.0779206
+0.0758896
+0.0738676
+0.0718556
+0.0698543
+0.067864
+0.065881
+0.0639116
+0.0619571
+0.0600189
+0.0580986
+0.0561981
+0.0543195
+0.052465
+0.0506375
+0.0488398
+0.0470742
+0.0453389
+0.0436437
+0.0419907
+0.0403857
+0.0388379
+0.0373546
+0.0359436
+0.0346012
+0.0333414
+0.0321816
+0.0311268
+0.0301618
+0.0293291
+0.02864
+0.0281052
+0.0277336
+0.0275102
+0.0274482
+0.0275607
+0.0278456
+0.0282895
+0.028869
+0.0294178
+0.030097
+0.0309168
+0.0318349
+0.032852
+0.03398
+0.0351901
+0.0364904
+0.0378728
+0.0393242
+0.0407656
+0.0420094
+0.0432732
+0.0446089
+0.0460101
+0.0474389
+0.04891
+0.0504272
+0.0519626
+0.0534811
+0.0550344
+0.0566241
+0.0582527
+0.0599038
+0.0615861
+0.0632997
+0.0650418
+0.0668104
+0.0681
+0.0678401
+0.0676426
+0.0674715
+0.0673677
+0.067335
+0.0673735
+0.0674832
+0.0676504
+0.0678738
+0.0681669
+0.0685218
+0.068938
+0.0694209
+0.0699584
+0.0705573
+0.0712186
+0.0719406
+0.0727213
+0.0735463
+0.0744026
+0.0752895
+0.0762261
+0.0772135
+0.0782498
+0.0793294
+0.0804472
+0.0816078
+0.0828087
+0.0840496
+0.0833816
+0.0813099
+0.0792446
+0.0771862
+0.0751353
+0.0730925
+0.0710585
+0.0690342
+0.0670202
+0.0650177
+0.0630278
+0.0610461
+0.059078
+0.0571261
+0.0551921
+0.053278
+0.051386
+0.0495187
+0.0476788
+0.0458698
+0.0440954
+0.0423598
+0.0406612
+0.0390065
+0.0374017
+0.035859
+0.0343867
+0.0329943
+0.031675
+0.0304518
+0.0293414
+0.0283326
+0.0274443
+0.0267067
+0.0261323
+0.0257323
+0.0254815
+0.0254145
+0.025536
+0.0258354
+0.0262868
+0.026776
+0.0273456
+0.0280749
+0.0289445
+0.0298995
+0.0309802
+0.0321616
+0.0334361
+0.034802
+0.0362418
+0.0377043
+0.038978
+0.0402177
+0.0415361
+0.0429258
+0.0443538
+0.0458192
+0.0473346
+0.0488802
+0.0503964
+0.0519505
+0.0535421
+0.0551738
+0.0568283
+0.0585171
+0.0602382
+0.061989
+0.0637669
+0.0655601
+0.0666619
+0.066424
+0.0662305
+0.0661084
+0.0660353
+0.066002
+0.0660413
+0.0661532
+0.0663373
+0.066593
+0.0669015
+0.0672703
+0.067696
+0.068188
+0.0687431
+0.0693528
+0.0700258
+0.0707602
+0.0715542
+0.0724027
+0.0732453
+0.074143
+0.0750939
+0.076096
+0.0771417
+0.0782294
+0.0793626
+0.0805389
+0.0817555
+0.0830121
+0.0827508
+0.0806609
+0.0785761
+0.0764972
+0.0744246
+0.0723591
+0.0703011
+0.0682514
+0.0662108
+0.0641799
+0.0621595
+0.0601505
+0.0581544
+0.0561728
+0.0542073
+0.0522597
+0.0503321
+0.0484268
+0.0465467
+0.0446949
+0.0428751
+0.0410914
+0.0393489
+0.0376533
+0.0360107
+0.0344056
+0.0328683
+0.0314086
+0.0300379
+0.0287689
+0.0276075
+0.0265581
+0.0256084
+0.0248162
+0.024197
+0.0237573
+0.0234819
+0.0234092
+0.0235338
+0.0238279
+0.0242425
+0.0246765
+0.0252933
+0.0260801
+0.0269796
+0.0280017
+0.0291477
+0.0303907
+0.0317365
+0.0331624
+0.034647
+0.0359469
+0.0371693
+0.0384673
+0.0398436
+0.0412708
+0.0427296
+0.0442428
+0.0457999
+0.0473133
+0.0488683
+0.050462
+0.0520964
+0.0537554
+0.0554513
+0.0571808
+0.0589409
+0.0607259
+0.0625298
+0.0643571
+0.0652519
+0.0650038
+0.0648196
+0.064709
+0.0646726
+0.064702
+0.0647558
+0.0648699
+0.0650576
+0.0653178
+0.0656365
+0.0660264
+0.0664794
+0.0669908
+0.0675594
+0.068189
+0.0688734
+0.06962
+0.0704268
+0.0712771
+0.0721328
+0.0730442
+0.0740092
+0.0750181
+0.0760731
+0.0771759
+0.0783244
+0.079516
+0.080748
+0.0820201
+0.08212
+0.0800203
+0.0779257
+0.0758365
+0.0737478
+0.0716627
+0.0695841
+0.0675127
+0.065449
+0.0633937
+0.0613475
+0.059311
+0.0572857
+0.0552729
+0.0532742
+0.0512912
+0.0493258
+0.0473801
+0.0454567
+0.0435586
+0.0416892
+0.0398525
+0.0380533
+0.0362972
+0.0345907
+0.0329415
+0.0313352
+0.0298005
+0.0283522
+0.0270041
+0.0257719
+0.0246731
+0.0237261
+0.0229498
+0.0223066
+0.0218137
+0.0215135
+0.0214338
+0.0215346
+0.0218515
+0.0221195
+0.0225942
+0.0232663
+0.0241043
+0.0250523
+0.0261498
+0.0273572
+0.0286779
+0.0300867
+0.03158
+0.032881
+0.0341297
+0.0354037
+0.0367642
+0.0381901
+0.0396412
+0.041152
+0.0427141
+0.0442324
+0.0457883
+0.0473844
+0.0490207
+0.0506856
+0.0523892
+0.0541279
+0.0558984
+0.0576899
+0.0595057
+0.0613456
+0.0632071
+0.0638522
+0.0635892
+0.0634009
+0.0632879
+0.0632506
+0.0632892
+0.0634035
+0.0635931
+0.0638275
+0.0640837
+0.0644085
+0.0648058
+0.0652742
+0.0658117
+0.0664037
+0.0670618
+0.0677722
+0.0685308
+0.0693503
+0.0702018
+0.0710704
+0.0719953
+0.0729643
+0.0739838
+0.0750533
+0.0761708
+0.0773343
+0.0785409
+0.079788
+0.0810751
+0.0815432
+0.0794283
+0.0773176
+0.0752116
+0.0731105
+0.0710148
+0.068925
+0.0668376
+0.0647524
+0.0626743
+0.0606038
+0.0585416
+0.0564886
+0.0544464
+0.0524162
+0.0503995
+0.0483978
+0.0464133
+0.0444481
+0.0425049
+0.040587
+0.038698
+0.0368425
+0.0350257
+0.033254
+0.031535
+0.0298778
+0.0282708
+0.0267398
+0.0253059
+0.0239866
+0.0228019
+0.0217737
+0.0209251
+0.0202787
+0.0198468
+0.0195534
+0.0194655
+0.0195764
+0.019718
+0.020011
+0.0205345
+0.0212718
+0.0221435
+0.0231718
+0.0243399
+0.0256258
+0.0270162
+0.0285003
+0.0298151
+0.0311018
+0.0323467
+0.0336881
+0.0351125
+0.0365546
+0.0380623
+0.0396251
+0.0411541
+0.042711
+0.0443095
+0.0459479
+0.0476195
+0.0493317
+0.0510805
+0.0528601
+0.0546608
+0.0564891
+0.0583424
+0.0602178
+0.0621131
+0.0624739
+0.0622197
+0.0620272
+0.0619117
+0.0618736
+0.061913
+0.0620298
+0.0622236
+0.0624936
+0.0628389
+0.0632237
+0.0636372
+0.0641142
+0.0646619
+0.0652785
+0.0659538
+0.0666836
+0.0674678
+0.0683134
+0.0691791
+0.0700604
+0.0709864
+0.0719672
+0.0730005
+0.0740842
+0.0752161
+0.0763941
+0.0776154
+0.0788771
+0.0800664
+0.0810215
+0.0788927
+0.0767673
+0.0746457
+0.0725282
+0.0704152
+0.0683071
+0.0662043
+0.0641075
+0.0620171
+0.0599311
+0.0578449
+0.0557663
+0.0536966
+0.0516369
+0.0495885
+0.0475527
+0.0455313
+0.0435263
+0.0415401
+0.0395755
+0.0376358
+0.0357251
+0.0338484
+0.0320116
+0.030222
+0.0284885
+0.026822
+0.0252147
+0.0236887
+0.0222739
+0.0209927
+0.0198711
+0.0189375
+0.0182206
+0.0177461
+0.0174841
+0.0174928
+0.0175167
+0.0175949
+0.0179222
+0.0185049
+0.0192937
+0.0202299
+0.0213457
+0.0225864
+0.0239528
+0.025425
+0.0267566
+0.0280723
+0.0292982
+0.0306165
+0.0320305
+0.03347
+0.0349741
+0.0365376
+0.038079
+0.0396368
+0.0412382
+0.0428788
+0.0445578
+0.0462796
+0.0480396
+0.0498264
+0.05164
+0.0534819
+0.0553491
+0.0572393
+0.0591497
+0.0610749
+0.0611226
+0.0608675
+0.060686
+0.0605833
+0.0605445
+0.0605848
+0.0607042
+0.0609022
+0.061178
+0.0615307
+0.0619588
+0.0624484
+0.0629952
+0.0635662
+0.0641934
+0.0648885
+0.0656396
+0.0664412
+0.0673041
+0.0682095
+0.0690908
+0.0700296
+0.0710236
+0.0720704
+0.0731679
+0.0743138
+0.0754973
+0.0766244
+0.0776777
+0.0787778
+0.0805561
+0.0784146
+0.0762759
+0.0741402
+0.0720079
+0.0698792
+0.0677544
+0.0656339
+0.0635182
+0.0614078
+0.0593032
+0.057205
+0.0551141
+0.0530268
+0.05094
+0.0488624
+0.046795
+0.0447394
+0.0426972
+0.0406705
+0.0386617
+0.0366737
+0.0347101
+0.0327754
+0.0308748
+0.0290152
+0.0272049
+0.0254545
+0.0237771
+0.0221702
+0.0206516
+0.0192629
+0.018034
+0.0169998
+0.0161974
+0.0156626
+0.0153747
+0.0153847
+0.0154031
+0.0154901
+0.015861
+0.0165166
+0.0173424
+0.0183782
+0.0195653
+0.0208997
+0.0223561
+0.0236966
+0.0250054
+0.0262614
+0.0275509
+0.0289488
+0.0303882
+0.0318878
+0.0334521
+0.0350079
+0.0365667
+0.0381711
+0.0398142
+0.0415015
+0.043234
+0.0450055
+0.0468012
+0.0486289
+0.0504855
+0.052368
+0.0542736
+0.0561984
+0.0581378
+0.0600944
+0.0598128
+0.0595631
+0.0593793
+0.0592743
+0.0592502
+0.059307
+0.0594297
+0.0596319
+0.0599136
+0.0602737
+0.0607081
+0.0612052
+0.0617762
+0.0624188
+0.0631309
+0.0638558
+0.0646288
+0.0654629
+0.066339
+0.0672751
+0.0681778
+0.069129
+0.0700751
+0.0710706
+0.0721126
+0.0731863
+0.074309
+0.0753404
+0.0764114
+0.0775295
+0.0801323
+0.0779901
+0.0758446
+0.0736965
+0.0715509
+0.0694081
+0.0672685
+0.0651322
+0.0629997
+0.0608713
+0.0587474
+0.0566287
+0.0545156
+0.052409
+0.0503095
+0.0482181
+0.046129
+0.0440423
+0.0419662
+0.0399024
+0.0378528
+0.03582
+0.0338069
+0.0318172
+0.0298557
+0.0279283
+0.0260426
+0.0242083
+0.022438
+0.0207481
+0.0191429
+0.0176358
+0.0162846
+0.0151312
+0.0142239
+0.0136118
+0.0132917
+0.0133032
+0.0133144
+0.0134129
+0.0138396
+0.0145419
+0.0154553
+0.0165709
+0.017862
+0.0192965
+0.020648
+0.0219326
+0.0232408
+0.0244934
+0.0258711
+0.02731
+0.0288041
+0.0303692
+0.0319421
+0.0335018
+0.0351093
+0.0367551
+0.0384519
+0.0401964
+0.0419762
+0.0437861
+0.0456295
+0.0475023
+0.0494013
+0.0513235
+0.0532628
+0.0552183
+0.0571908
+0.0588912
+0.0585557
+0.0583007
+0.0581256
+0.0580185
+0.0579939
+0.058052
+0.0581925
+0.0584149
+0.0587038
+0.0590712
+0.0595092
+0.0600163
+0.0605985
+0.0612534
+0.0619789
+0.0627725
+0.0636317
+0.0645003
+0.0654128
+0.0662306
+0.0670687
+0.0679451
+0.0688748
+0.0698609
+0.070901
+0.0719927
+0.0730552
+0.0740989
+0.075174
+0.0762536
+0.0797042
+0.0775655
+0.0754297
+0.0732828
+0.0711367
+0.0689934
+0.0668509
+0.0647008
+0.0625536
+0.0604094
+0.0582688
+0.056132
+0.0539995
+0.0518719
+0.0497497
+0.0476338
+0.0455249
+0.0434242
+0.0413327
+0.0392417
+0.0371557
+0.0350825
+0.0330244
+0.0309845
+0.0289667
+0.0269759
+0.0250185
+0.023103
+0.0212408
+0.0194471
+0.0177428
+0.0161426
+0.0146543
+0.013361
+0.0123239
+0.0116121
+0.0112497
+0.0112632
+0.0112647
+0.0113784
+0.011875
+0.0126164
+0.013616
+0.0148493
+0.0162515
+0.0176167
+0.018868
+0.0202165
+0.0214475
+0.0227988
+0.024237
+0.0257238
+0.0272897
+0.0288831
+0.0304432
+0.0320527
+0.0337032
+0.0354107
+0.0371687
+0.0389573
+0.0407835
+0.0426441
+0.0445348
+0.0464517
+0.0483916
+0.0503465
+0.0523193
+0.0543088
+0.0563132
+0.0576972
+0.0573548
+0.0570944
+0.0569173
+0.0568195
+0.0567943
+0.0568536
+0.0569971
+0.0572242
+0.0575338
+0.0579208
+0.058368
+0.058885
+0.0594782
+0.0601453
+0.060884
+0.0616917
+0.0625658
+0.0634592
+0.0642246
+0.0650008
+0.0658407
+0.0667297
+0.0676761
+0.0686794
+0.0697371
+0.0708026
+0.0717874
+0.0727937
+0.0738375
+0.0749252
+0.0792956
+0.0771455
+0.0749978
+0.0728526
+0.0707102
+0.0685708
+0.0664348
+0.0642991
+0.0621517
+0.0600075
+0.0578667
+0.0557171
+0.0535681
+0.0514226
+0.0492811
+0.0471441
+0.0450123
+0.0428865
+0.0407674
+0.0386564
+0.0365548
+0.0344642
+0.0323716
+0.0302878
+0.0282202
+0.0261726
+0.0241502
+0.0221597
+0.0202108
+0.0183165
+0.0164959
+0.014776
+0.0131875
+0.0117335
+0.0105375
+0.00969542
+0.00925877
+0.00927525
+0.00927948
+0.0094142
+0.00991572
+0.010742
+0.0118807
+0.0132312
+0.0146097
+0.0158051
+0.0171484
+0.0184191
+0.0197346
+0.0211712
+0.0226484
+0.024215
+0.0258335
+0.0273919
+0.0290037
+0.0306606
+0.0323803
+0.0341483
+0.0359519
+0.0377964
+0.0396761
+0.0415862
+0.0435228
+0.0454804
+0.0474533
+0.0494444
+0.0514518
+0.0534381
+0.0554038
+0.056474
+0.0561571
+0.0559244
+0.0557671
+0.055672
+0.0556552
+0.0557157
+0.0558621
+0.0560938
+0.0564096
+0.0568043
+0.0572678
+0.0578106
+0.0584185
+0.0590977
+0.0598493
+0.0606708
+0.0614462
+0.0622705
+0.0630139
+0.0638048
+0.0646602
+0.0655649
+0.066528
+0.067543
+0.0685837
+0.0694984
+0.0704665
+0.0714712
+0.0725226
+0.0736235
+0.0789457
+0.0767858
+0.0746277
+0.0724715
+0.0703175
+0.0681658
+0.0660167
+0.0638694
+0.0617248
+0.0595836
+0.0574462
+0.0553129
+0.0531828
+0.0510372
+0.0488944
+0.0467486
+0.044601
+0.0424551
+0.0403134
+0.0381773
+0.0360478
+0.033926
+0.0318136
+0.0297125
+0.0276253
+0.0255325
+0.0234549
+0.0213999
+0.0193747
+0.0173897
+0.0154602
+0.0136101
+0.0118765
+0.0103165
+0.00893273
+0.00792186
+0.00737932
+0.00739998
+0.00741101
+0.00751978
+0.00803639
+0.00899971
+0.0102448
+0.0116234
+0.0127515
+0.0140682
+0.0154185
+0.0166829
+0.0181165
+0.0195802
+0.0211471
+0.0227969
+0.0243526
+0.0259656
+0.0276303
+0.029364
+0.0311411
+0.0329636
+0.0348286
+0.0367295
+0.0386611
+0.040619
+0.0425948
+0.0445876
+0.0465982
+0.0485827
+0.0505462
+0.0525206
+0.0545115
+0.0552808
+0.0549571
+0.0547192
+0.0545684
+0.0545052
+0.05453
+0.0546328
+0.0547821
+0.0550182
+0.0553402
+0.0557464
+0.0562236
+0.0567765
+0.0574076
+0.058111
+0.0587805
+0.0594921
+0.0602749
+0.0610684
+0.0618391
+0.0626297
+0.0634858
+0.0643914
+0.0653564
+0.0663668
+0.0672699
+0.068182
+0.0691451
+0.0701628
+0.0712328
+0.0723411
+0.0786552
+0.0764871
+0.0743203
+0.072155
+0.0699913
+0.0678292
+0.0656691
+0.06351
+0.0613529
+0.0591982
+0.0570464
+0.0548975
+0.0527522
+0.0506107
+0.0484736
+0.0463415
+0.0442151
+0.0420852
+0.0399426
+0.0378055
+0.0356601
+0.0335186
+0.0313826
+0.0292509
+0.0271283
+0.0250173
+0.0229146
+0.020829
+0.0187585
+0.0167004
+0.0146806
+0.0127176
+0.0108422
+0.00910854
+0.00754592
+0.00632645
+0.0056656
+0.00564996
+0.00572886
+0.00570387
+0.00630639
+0.00731826
+0.00864458
+0.00972626
+0.0109941
+0.0124151
+0.0136522
+0.0150657
+0.0165231
+0.0180895
+0.019775
+0.0213301
+0.0229428
+0.0246169
+0.0263626
+0.0281536
+0.0299976
+0.0318856
+0.03381
+0.0357652
+0.0377455
+0.039741
+0.0417552
+0.043737
+0.0456974
+0.0476712
+0.0496633
+0.0516714
+0.0536939
+0.0541499
+0.0538194
+0.0535765
+0.0534224
+0.0533579
+0.0533833
+0.0534984
+0.0537028
+0.0539953
+0.0543306
+0.0547444
+0.0552381
+0.0558091
+0.0563785
+0.0569744
+0.057625
+0.0583289
+0.05908
+0.0599018
+0.0606469
+0.0614529
+0.0623031
+0.0632105
+0.06418
+0.065095
+0.0659586
+0.0668814
+0.0678625
+0.0688985
+0.0699752
+0.0711031
+0.0784151
+0.0762416
+0.0740692
+0.0718978
+0.0697276
+0.0675588
+0.0653914
+0.0632245
+0.0610573
+0.0588919
+0.0567284
+0.054567
+0.0524081
+0.050252
+0.0480989
+0.0459495
+0.0438041
+0.0416634
+0.0395282
+0.0373985
+0.0352738
+0.0331572
+0.0310375
+0.0289061
+0.0267799
+0.0246457
+0.0225222
+0.0204018
+0.0182921
+0.016204
+0.0141469
+0.012121
+0.0101462
+0.0082711
+0.00655941
+0.00507754
+0.00386761
+0.00349409
+0.00406533
+0.00405456
+0.00462109
+0.00575539
+0.0067309
+0.00792758
+0.00932852
+0.0106603
+0.0120265
+0.0134846
+0.0150485
+0.0167534
+0.0183328
+0.019943
+0.0216274
+0.0233804
+0.0251928
+0.0270613
+0.0289749
+0.0309254
+0.032906
+0.0349089
+0.0369267
+0.0389046
+0.0408603
+0.042833
+0.044826
+0.0468366
+0.0488627
+0.0509024
+0.0529542
+0.053051
+0.0527483
+0.0525004
+0.0523432
+0.0522773
+0.0523032
+0.0524207
+0.0526292
+0.0529277
+0.0533146
+0.0537879
+0.0542484
+0.0547022
+0.0552221
+0.0557914
+0.0564062
+0.0570986
+0.0578657
+0.0587045
+0.0594767
+0.060286
+0.0611306
+0.0620249
+0.0629826
+0.0638077
+0.064687
+0.0656277
+0.0666236
+0.0676656
+0.0687616
+0.0699091
+0.0774398
+0.0760549
+0.0738769
+0.0716997
+0.0695234
+0.067348
+0.0651736
+0.0630004
+0.0608284
+0.0586577
+0.0564887
+0.0543214
+0.0521539
+0.0499868
+0.0478218
+0.0456593
+0.0434996
+0.0413432
+0.0391906
+0.0370414
+0.034895
+0.0327539
+0.03062
+0.0284946
+0.0263799
+0.0242787
+0.0221949
+0.0201256
+0.0180351
+0.0159328
+0.0138431
+0.0117773
+0.00974932
+0.00780978
+0.00572111
+0.00372021
+0.00199083
+0.00132292
+0.00203581
+0.00262913
+0.00318903
+0.00386332
+0.00486207
+0.00624819
+0.0077269
+0.00902735
+0.0104691
+0.0120367
+0.013766
+0.015372
+0.0169786
+0.0186712
+0.0204326
+0.0222694
+0.0241654
+0.0261075
+0.0280862
+0.0300943
+0.0321059
+0.034091
+0.0360399
+0.0380103
+0.0400036
+0.0420165
+0.0440464
+0.0460911
+0.0481485
+0.0502173
+0.052296
+0.0519976
+0.0516893
+0.0514724
+0.0513194
+0.0512521
+0.0512785
+0.0513983
+0.0516109
+0.0519152
+0.0523095
+0.0526832
+0.0530598
+0.0535235
+0.0540238
+0.0545707
+0.0551992
+0.0559064
+0.0566896
+0.0575456
+0.0582516
+0.0590274
+0.0598694
+0.0607633
+0.0617058
+0.0625626
+0.0634592
+0.064406
+0.06541
+0.066471
+0.0675853
+0.0686973
+0.0760592
+0.0748789
+0.0737448
+0.0715682
+0.0693878
+0.067208
+0.0650289
+0.0628507
+0.0606733
+0.0584969
+0.0563217
+0.0541477
+0.051975
+0.049804
+0.0476348
+0.0454676
+0.0433028
+0.0411373
+0.0389733
+0.0368115
+0.0346508
+0.0324937
+0.0303414
+0.028195
+0.0260561
+0.0239264
+0.0218089
+0.0197074
+0.0176276
+0.0155783
+0.0135604
+0.0115768
+0.00959327
+0.00742534
+0.00524023
+0.0030554
+0.000889833
+-0.000783367
+6.2747e-05
+0.000728702
+0.00126724
+0.00186638
+0.00320233
+0.00484845
+0.0061147
+0.00749499
+0.00907467
+0.0108339
+0.0124681
+0.0140719
+0.0157573
+0.0175366
+0.0194004
+0.0213263
+0.0232991
+0.0253078
+0.0273103
+0.0293055
+0.0312438
+0.0332097
+0.0352022
+0.0372169
+0.0392505
+0.0413002
+0.0433636
+0.045439
+0.0475247
+0.0496195
+0.0513894
+0.0510166
+0.0507023
+0.0504812
+0.0503382
+0.0502882
+0.0503254
+0.0504475
+0.0506641
+0.0509056
+0.0511534
+0.0514504
+0.051836
+0.0523106
+0.0528099
+0.0533692
+0.0540116
+0.0547343
+0.055534
+0.0562577
+0.0569765
+0.0577403
+0.0585732
+0.0594738
+0.0604266
+0.061362
+0.0622636
+0.0632256
+0.0642399
+0.0652909
+0.0663487
+0.0674539
+0.0746381
+0.0735146
+0.0723601
+0.0712533
+0.0693101
+0.0671264
+0.0649432
+0.0627605
+0.0605784
+0.0583969
+0.0562161
+0.0540362
+0.0518571
+0.0496791
+0.0475022
+0.0453267
+0.0431527
+0.0409805
+0.0388103
+0.0366426
+0.0344778
+0.0323165
+0.0301594
+0.0280075
+0.0258622
+0.0237243
+0.0215898
+0.0194619
+0.0173497
+0.0152596
+0.0132022
+0.0111955
+0.0092426
+0.00728455
+0.00510181
+0.00292966
+0.000807471
+-0.0011946
+-0.00146647
+-0.00123225
+-0.000833192
+0.000341307
+0.00203169
+0.00343105
+0.00468457
+0.00619707
+0.00798927
+0.00967707
+0.0112446
+0.0129279
+0.0147233
+0.0166138
+0.0185703
+0.0205646
+0.0225577
+0.0245647
+0.0264853
+0.0284426
+0.0304318
+0.0324469
+0.0344834
+0.0365378
+0.0386072
+0.0406893
+0.0427822
+0.0448845
+0.0469948
+0.0491122
+0.0504053
+0.0500184
+0.0497164
+0.0495096
+0.0493992
+0.0493571
+0.0494033
+0.0494734
+0.0495256
+0.0496745
+0.0499191
+0.0502582
+0.0506773
+0.0511564
+0.0516552
+0.0522268
+0.0528831
+0.053621
+0.0543656
+0.0549882
+0.05569
+0.0564681
+0.0573195
+0.0582282
+0.0592009
+0.0602022
+0.0610966
+0.062045
+0.0630129
+0.0640295
+0.0651015
+0.0662286
+0.0732242
+0.0720876
+0.0709887
+0.0698879
+0.068783
+0.0670738
+0.0648888
+0.0627042
+0.06052
+0.0583363
+0.0561532
+0.0539707
+0.0517889
+0.0496079
+0.0474278
+0.0452486
+0.0430707
+0.0408941
+0.0387191
+0.036546
+0.0343751
+0.0322069
+0.030042
+0.027881
+0.0257252
+0.0235757
+0.0214317
+0.0192914
+0.0171638
+0.0150543
+0.0129718
+0.0109317
+0.00896285
+0.00709729
+0.00496934
+0.00285934
+0.000827011
+-0.00104548
+-0.00112831
+-0.000698124
+-0.000152271
+0.000417039
+0.00147085
+0.00242978
+0.0036812
+0.00542959
+0.00708971
+0.00854991
+0.0102237
+0.0120377
+0.0139501
+0.0158815
+0.0178611
+0.0198849
+0.0217888
+0.0237291
+0.0257096
+0.0277217
+0.0297591
+0.0318169
+0.0338913
+0.0359795
+0.0380793
+0.0401887
+0.0423064
+0.0444312
+0.0465619
+0.0486958
+0.0494164
+0.0490509
+0.0487681
+0.0485573
+0.0484225
+0.0482744
+0.0482244
+0.0482488
+0.0483026
+0.0484555
+0.0487065
+0.0490542
+0.0494965
+0.0499974
+0.050536
+0.0511338
+0.0518044
+0.0525464
+0.0530999
+0.0537371
+0.0544551
+0.0552506
+0.0561148
+0.0570394
+0.0580321
+0.0589764
+0.0598491
+0.0607883
+0.0617705
+0.0628047
+0.0638972
+0.0650264
+0.0718458
+0.0706908
+0.0695802
+0.0685099
+0.0674671
+0.0662215
+0.0649025
+0.0627168
+0.0605315
+0.0583466
+0.0561622
+0.0539783
+0.0517949
+0.0496122
+0.0474302
+0.0452491
+0.043069
+0.0408899
+0.0387122
+0.036536
+0.0343617
+0.0321896
+0.0300202
+0.0278542
+0.0256923
+0.0235357
+0.0213861
+0.0192457
+0.0171181
+0.0149841
+0.0128633
+0.0107554
+0.0086539
+0.00653499
+0.00444809
+0.00245369
+0.000531271
+-0.00123596
+-0.000602715
+-0.000154448
+0.000202841
+0.00121632
+0.00211048
+0.00241802
+0.00363792
+0.00486944
+0.00611858
+0.00771134
+0.0095058
+0.0113814
+0.0133092
+0.0153078
+0.0172054
+0.0191088
+0.0210681
+0.023069
+0.0251017
+0.0271589
+0.0292355
+0.0313277
+0.0334325
+0.0355464
+0.037666
+0.0397931
+0.0419268
+0.0440661
+0.0462101
+0.0483584
+0.0484331
+0.0480024
+0.0476685
+0.0474004
+0.0471474
+0.0469954
+0.0469438
+0.0469691
+0.0470243
+0.0471814
+0.0474391
+0.047796
+0.0482498
+0.0487979
+0.0493533
+0.0499885
+0.0507105
+0.0513196
+0.0518862
+0.0525381
+0.0532722
+0.0540852
+0.0549676
+0.0559112
+0.0568991
+0.0577204
+0.0586122
+0.0595524
+0.060545
+0.0615982
+0.0626894
+0.0638298
+0.070455
+0.0693349
+0.0682039
+0.0671208
+0.0660833
+0.0648838
+0.06364
+0.0624439
+0.0605039
+0.0583195
+0.0561356
+0.0539522
+0.0517695
+0.0495874
+0.0474061
+0.0452258
+0.0430465
+0.0408684
+0.0386917
+0.0365167
+0.0343438
+0.0321732
+0.0300055
+0.0278414
+0.0256819
+0.0235281
+0.021358
+0.0191713
+0.0169856
+0.0148013
+0.0126193
+0.0104409
+0.00826682
+0.00609511
+0.00394269
+0.00186274
+3.38297e-05
+-0.000517125
+3.83409e-05
+0.000422531
+0.000936211
+0.00179567
+0.00268832
+0.00358982
+0.00382347
+0.00443972
+0.00568625
+0.00733532
+0.00912368
+0.0110109
+0.0128566
+0.0146702
+0.0165752
+0.0185434
+0.0205566
+0.0226026
+0.0246691
+0.0267533
+0.0288533
+0.0309658
+0.0330885
+0.0352196
+0.0373576
+0.0395013
+0.0416465
+0.0436194
+0.0455168
+0.0474394
+0.0472839
+0.0468234
+0.0464407
+0.0461589
+0.0459283
+0.0457854
+0.0457319
+0.0457161
+0.0457931
+0.0459746
+0.0462408
+0.0466069
+0.0470722
+0.0476338
+0.0482258
+0.0488786
+0.0496064
+0.0501585
+0.0507381
+0.0514046
+0.0521546
+0.0529832
+0.0538728
+0.0548351
+0.0556701
+0.0565055
+0.0573995
+0.0583459
+0.0593487
+0.0604073
+0.0615187
+0.0626655
+0.0689761
+0.0679215
+0.0668666
+0.065769
+0.0647164
+0.0635935
+0.0623239
+0.0611021
+0.0599295
+0.0582033
+0.0560148
+0.0538265
+0.0516385
+0.0494506
+0.0472631
+0.0450758
+0.0428889
+0.0407023
+0.0385163
+0.0363308
+0.034146
+0.031962
+0.0297789
+0.0275971
+0.0254168
+0.0232385
+0.0210627
+0.0188903
+0.0167228
+0.0145621
+0.0124121
+0.0102791
+0.00817682
+0.00613664
+0.00400998
+0.00193519
+-3.51399e-05
+0.000543285
+0.000882161
+0.000794515
+0.00127193
+0.00212272
+0.00313951
+0.00418834
+0.00429271
+0.00474542
+0.00590712
+0.00742423
+0.00901895
+0.0106409
+0.01239
+0.0142519
+0.0161957
+0.0181957
+0.0202352
+0.0223034
+0.024393
+0.0264989
+0.0286123
+0.0307365
+0.0328693
+0.0349905
+0.0369215
+0.0387753
+0.0406627
+0.0425791
+0.0445208
+0.0464847
+0.0461076
+0.0456323
+0.0452395
+0.0449502
+0.0447339
+0.0445942
+0.0445244
+0.0444958
+0.044575
+0.0447613
+0.0450536
+0.0454497
+0.0459469
+0.0465156
+0.0470903
+0.0477586
+0.0485033
+0.0490678
+0.0496601
+0.0503409
+0.051105
+0.0519344
+0.0528412
+0.0536803
+0.0544802
+0.0553204
+0.0562199
+0.0571787
+0.0581891
+0.0592521
+0.0603622
+0.0615219
+0.0674753
+0.06645
+0.0654194
+0.0643981
+0.063392
+0.0623497
+0.0610543
+0.0598104
+0.058612
+0.0574721
+0.0559795
+0.0537898
+0.0516002
+0.0494106
+0.0472212
+0.0450319
+0.0428427
+0.0406537
+0.0384649
+0.0362763
+0.0340879
+0.0318999
+0.0297123
+0.0275252
+0.0253387
+0.023153
+0.0209683
+0.018785
+0.0166036
+0.0144251
+0.0122509
+0.0100839
+0.00792984
+0.00580331
+0.00375133
+0.00188148
+0.00107192
+0.00172211
+0.00181614
+0.00153226
+0.00174373
+0.00220389
+0.00356525
+0.00473225
+0.00533128
+0.00571341
+0.00656486
+0.00748721
+0.00885439
+0.0104596
+0.0122202
+0.0141018
+0.016062
+0.0180696
+0.0201143
+0.0221868
+0.0242802
+0.026354
+0.0282021
+0.0300961
+0.032028
+0.0339469
+0.0358207
+0.0377287
+0.0396659
+0.0416282
+0.0436123
+0.0455563
+0.0449733
+0.0444853
+0.0441009
+0.0438178
+0.043575
+0.0434313
+0.0433783
+0.0433519
+0.0434332
+0.0436244
+0.0439242
+0.0443304
+0.0448401
+0.0454137
+0.0460192
+0.0467124
+0.0474595
+0.0480522
+0.0486569
+0.0493499
+0.0501126
+0.0509578
+0.0517499
+0.0525221
+0.0533119
+0.0541644
+0.0550567
+0.0559934
+0.0569989
+0.0580637
+0.0591743
+0.0603318
+0.0660015
+0.0649529
+0.063946
+0.0629567
+0.0619743
+0.0610496
+0.0598317
+0.0585625
+0.0573479
+0.0561824
+0.0550793
+0.0538263
+0.0516381
+0.0494502
+0.0472626
+0.0450752
+0.0428882
+0.0407016
+0.0385155
+0.0363299
+0.0341449
+0.0319608
+0.0297776
+0.0275956
+0.0254151
+0.0232365
+0.0210604
+0.0188876
+0.0167196
+0.0145584
+0.0124075
+0.0102734
+0.00815785
+0.0060851
+0.00413112
+0.0024763
+0.00184062
+0.00263348
+0.00290081
+0.00270983
+0.00237686
+0.00267169
+0.00309525
+0.00414723
+0.00525724
+0.00635751
+0.00674671
+0.00769172
+0.00902799
+0.0106394
+0.0123744
+0.0142357
+0.0161797
+0.0179373
+0.0197467
+0.0215026
+0.0233235
+0.0252033
+0.0271298
+0.0290829
+0.0309965
+0.0328925
+0.0348231
+0.0367829
+0.0387673
+0.0407729
+0.0427273
+0.0442327
+0.0437077
+0.0432299
+0.0428152
+0.0425095
+0.0422985
+0.0421949
+0.0420871
+0.0420789
+0.0421846
+0.0424034
+0.0427335
+0.0431232
+0.0436045
+0.0441893
+0.0448685
+0.0456386
+0.0464556
+0.0471158
+0.0477316
+0.0484207
+0.0491974
+0.0499215
+0.0506082
+0.0513218
+0.0520861
+0.0529301
+0.0538257
+0.0547835
+0.0558072
+0.0568855
+0.0580187
+0.0591989
+0.0645683
+0.0634829
+0.062439
+0.0614556
+0.0605174
+0.0595813
+0.0586655
+0.0573705
+0.0561312
+0.0549498
+0.0538215
+0.0527576
+0.0517626
+0.0495855
+0.0474041
+0.0452236
+0.0430441
+0.0408642
+0.0386841
+0.0365051
+0.0343277
+0.0321521
+0.0299787
+0.0278079
+0.0256406
+0.0234776
+0.0213203
+0.0191705
+0.0170312
+0.0149023
+0.0127828
+0.0106919
+0.00865061
+0.00670407
+0.00489506
+0.00347127
+0.00288589
+0.0035137
+0.00399552
+0.00359778
+0.0031154
+0.00244229
+0.00239098
+0.00291337
+0.00382356
+0.00498618
+0.00618407
+0.00755094
+0.00874299
+0.0100876
+0.0114961
+0.013121
+0.0148893
+0.0166786
+0.0184554
+0.0203133
+0.0222318
+0.0241853
+0.0261683
+0.028078
+0.0299985
+0.0319537
+0.0339378
+0.0359256
+0.0378569
+0.039815
+0.0417963
+0.0428812
+0.0423376
+0.0418953
+0.0414753
+0.0411597
+0.0409589
+0.0408612
+0.0408608
+0.0408524
+0.0409613
+0.0411866
+0.0415192
+0.0419045
+0.0423996
+0.0430008
+0.0437036
+0.0445033
+0.0453632
+0.0462031
+0.0468725
+0.0475739
+0.0481587
+0.0487718
+0.0494006
+0.0500985
+0.0508813
+0.0517375
+0.0526466
+0.0536255
+0.0546533
+0.0557303
+0.0568714
+0.0580727
+0.063098
+0.0620304
+0.0609707
+0.0599631
+0.0590197
+0.0581409
+0.0572426
+0.0562386
+0.0549737
+0.0537671
+0.0526092
+0.0515185
+0.0504988
+0.0495539
+0.0476134
+0.0454402
+0.0432688
+0.0410994
+0.0389324
+0.0367682
+0.0346073
+0.0324441
+0.0302846
+0.0281298
+0.0259811
+0.02384
+0.0217088
+0.0195908
+0.0174906
+0.0154157
+0.0133777
+0.0113907
+0.00946011
+0.00766995
+0.00609324
+0.00468482
+0.00390804
+0.00407224
+0.00499954
+0.00445717
+0.00314518
+0.00239714
+0.00195223
+0.00210849
+0.002621
+0.00352308
+0.00479623
+0.00583684
+0.00704881
+0.00840033
+0.0100482
+0.0118512
+0.0136093
+0.0154287
+0.0173341
+0.0192881
+0.0212765
+0.0232235
+0.0252023
+0.0271495
+0.0291304
+0.0310702
+0.0329948
+0.0349508
+0.0369331
+0.0389378
+0.0409615
+0.0415361
+0.0409959
+0.0405525
+0.0402051
+0.0398794
+0.0396722
+0.0395852
+0.0396037
+0.039709
+0.0398211
+0.0400528
+0.0403709
+0.0407671
+0.0412759
+0.0418932
+0.0426143
+0.0433964
+0.044213
+0.0450724
+0.0460201
+0.0465347
+0.0470135
+0.0475829
+0.0481999
+0.0488902
+0.0496676
+0.0505251
+0.0514511
+0.0524522
+0.0535099
+0.0546017
+0.0557547
+0.0569687
+0.0616668
+0.0605739
+0.0595416
+0.0585146
+0.0575474
+0.0566485
+0.0557991
+0.0549579
+0.0538806
+0.052643
+0.0514598
+0.0503441
+0.0492999
+0.0483317
+0.0474449
+0.04574
+0.0435785
+0.0414202
+0.0392654
+0.0371148
+0.0349692
+0.0328296
+0.0306972
+0.0285736
+0.0264609
+0.024362
+0.0222808
+0.0202228
+0.0181957
+0.0161856
+0.0141277
+0.0121105
+0.0101481
+0.00829322
+0.00660705
+0.0052609
+0.00443702
+0.0043686
+0.00516782
+0.00468891
+0.00344932
+0.00220849
+0.00165372
+0.00143772
+0.00150773
+0.00224344
+0.0031598
+0.00408882
+0.00530722
+0.00699622
+0.0088213
+0.0105569
+0.012437
+0.0143919
+0.0163886
+0.0183355
+0.0203236
+0.0223379
+0.0242557
+0.0262156
+0.0281454
+0.0300976
+0.0320806
+0.0340891
+0.0361187
+0.0381662
+0.0402287
+0.0401627
+0.0396612
+0.0392355
+0.0389206
+0.0386634
+0.0384496
+0.0383599
+0.0383658
+0.0384419
+0.0386136
+0.0389003
+0.0392467
+0.039654
+0.0401768
+0.0408107
+0.0415064
+0.0422816
+0.0431407
+0.044021
+0.0449523
+0.0453802
+0.0458653
+0.0463868
+0.0470017
+0.0477093
+0.0485055
+0.0493729
+0.0503201
+0.0513433
+0.0524006
+0.0535114
+0.0546852
+0.0559141
+0.0602799
+0.0591614
+0.058104
+0.0571111
+0.0561221
+0.0551941
+0.0543225
+0.0535096
+0.0526325
+0.0515526
+0.0503644
+0.0492224
+0.0481531
+0.0471613
+0.0462521
+0.0454304
+0.0439755
+0.0418377
+0.0397056
+0.0375802
+0.0354628
+0.0333548
+0.0312582
+0.0291755
+0.0271098
+0.0250161
+0.0229124
+0.0208241
+0.0187501
+0.0167054
+0.0146996
+0.0127342
+0.010833
+0.00905511
+0.00744636
+0.006168
+0.00536203
+0.00530853
+0.00601884
+0.00494801
+0.00362102
+0.00265562
+0.0018925
+0.000892325
+0.000734636
+0.00103401
+0.00141833
+0.002228
+0.00396813
+0.005731
+0.00754183
+0.0094981
+0.0115099
+0.0134552
+0.01545
+0.0174532
+0.0193929
+0.0213497
+0.0233166
+0.025262
+0.0272447
+0.029257
+0.0312934
+0.0333493
+0.0354213
+0.0375069
+0.0394478
+0.0388412
+0.0383225
+0.0379234
+0.0376294
+0.0374237
+0.0372277
+0.037118
+0.0370794
+0.0371582
+0.0373525
+0.0376572
+0.0379799
+0.0384006
+0.0389402
+0.0395938
+0.0403559
+0.0412205
+0.0421132
+0.0430463
+0.0438365
+0.0442692
+0.044715
+0.0452467
+0.0458768
+0.0466016
+0.0474063
+0.0482926
+0.0492432
+0.0502698
+0.0513374
+0.0524619
+0.0536212
+0.0548015
+0.0589391
+0.0577946
+0.0567118
+0.0556941
+0.0547069
+0.0537603
+0.0528658
+0.0520475
+0.0513039
+0.0502056
+0.0491701
+0.048172
+0.0470788
+0.0460639
+0.0451326
+0.0442901
+0.0435417
+0.0423645
+0.0402603
+0.0381658
+0.0360772
+0.0339522
+0.031836
+0.0297286
+0.0276282
+0.0255427
+0.0234745
+0.0214043
+0.0193607
+0.0173529
+0.0153952
+0.013506
+0.0116889
+0.0100204
+0.00858985
+0.00748138
+0.00683214
+0.00679525
+0.00672911
+0.0056936
+0.0040764
+0.00274683
+0.00134658
+2.65355e-05
+-0.000732906
+-0.000728883
+-0.000392566
+0.00111384
+0.00265896
+0.00461428
+0.00666018
+0.00859563
+0.0105995
+0.0125791
+0.0145171
+0.016503
+0.018506
+0.0204563
+0.0224359
+0.0244515
+0.0264949
+0.0285601
+0.0306428
+0.0327395
+0.0348479
+0.0369658
+0.0381775
+0.0375484
+0.0370366
+0.0366488
+0.0363658
+0.0361785
+0.0360273
+0.0358981
+0.0358582
+0.0359521
+0.0361466
+0.0364272
+0.0367928
+0.0372268
+0.0377831
+0.0384562
+0.0392403
+0.0401288
+0.0411069
+0.0420453
+0.0427945
+0.0431592
+0.0436051
+0.0441554
+0.0447931
+0.0455198
+0.0463387
+0.0472381
+0.0482079
+0.0492388
+0.0503274
+0.0514122
+0.0525503
+0.0537504
+0.0576503
+0.0564798
+0.0553712
+0.0543284
+0.0533189
+0.0523477
+0.051449
+0.0506134
+0.04986
+0.0488909
+0.0478445
+0.0468598
+0.045958
+0.0450464
+0.0440936
+0.0432309
+0.0424638
+0.0417975
+0.0408073
+0.0386922
+0.0365819
+0.0344812
+0.0323804
+0.0302852
+0.0282044
+0.0261416
+0.0241014
+0.02209
+0.0201162
+0.0181881
+0.0163034
+0.0145046
+0.0128283
+0.0113289
+0.0100674
+0.00908078
+0.00855381
+0.0080796
+0.00780721
+0.00654149
+0.00468639
+0.00278599
+0.00116869
+-0.000453818
+-0.00203325
+-0.00240092
+-0.00188324
+-0.000147885
+0.00194363
+0.00383583
+0.00582978
+0.00773611
+0.00965213
+0.0116652
+0.0137044
+0.0157024
+0.0176754
+0.0196908
+0.0217402
+0.0238148
+0.0259084
+0.0280169
+0.0301372
+0.0322668
+0.0343629
+0.0360282
+0.0369766
+0.0363376
+0.0358085
+0.0354072
+0.0351382
+0.034922
+0.0347703
+0.0347513
+0.0346902
+0.0347337
+0.0348961
+0.0351867
+0.0356099
+0.0361152
+0.0366883
+0.0373813
+0.0381874
+0.0390999
+0.0400766
+0.0408879
+0.0415545
+0.0421117
+0.0425725
+0.0431224
+0.0437673
+0.0445107
+0.0453137
+0.0461934
+0.047148
+0.0481808
+0.0492451
+0.0503369
+0.0514988
+0.0527262
+0.0564172
+0.0552205
+0.0540861
+0.0530181
+0.0519863
+0.0509897
+0.0500692
+0.0492231
+0.0484482
+0.0475306
+0.0465354
+0.0455475
+0.0446354
+0.0437975
+0.043051
+0.0422587
+0.0414736
+0.0407912
+0.0402139
+0.0392353
+0.0371391
+0.0350544
+0.0329835
+0.0309292
+0.0288948
+0.026885
+0.0249058
+0.0229603
+0.0210467
+0.0191925
+0.0174165
+0.0157454
+0.0142161
+0.0128774
+0.0117235
+0.010888
+0.0101732
+0.00953166
+0.00892859
+0.00701757
+0.00512222
+0.00315607
+0.00145855
+-0.000360569
+-0.0023388
+-0.00405055
+-0.00254051
+-0.000626624
+0.00131442
+0.00299717
+0.00485094
+0.00687668
+0.00897802
+0.0110318
+0.0129774
+0.0149907
+0.0170463
+0.0191282
+0.0212319
+0.0233517
+0.0254834
+0.0276244
+0.0297537
+0.0318373
+0.033062
+0.0341374
+0.0353161
+0.0352196
+0.0346755
+0.0342609
+0.0339676
+0.0337287
+0.0335822
+0.0334795
+0.033491
+0.0335341
+0.0337198
+0.0340398
+0.0344771
+0.0350462
+0.0356866
+0.0363987
+0.0372263
+0.0380954
+0.0389954
+0.0396379
+0.0403157
+0.0410304
+0.0415211
+0.0421201
+0.0427507
+0.0434518
+0.0442504
+0.0451402
+0.0461121
+0.0471638
+0.048221
+0.0493355
+0.0504937
+0.0515769
+0.0552435
+0.0540208
+0.0528607
+0.0517673
+0.0507133
+0.0496912
+0.0487461
+0.0478827
+0.0470959
+0.0461917
+0.0451669
+0.044227
+0.0433443
+0.0425026
+0.0417421
+0.0410783
+0.0405001
+0.039826
+0.0391184
+0.0385192
+0.0377933
+0.0357468
+0.0337185
+0.0317117
+0.029731
+0.0277764
+0.025848
+0.0239648
+0.0221381
+0.0203834
+0.0187208
+0.017177
+0.015787
+0.014547
+0.0135324
+0.0126595
+0.0117776
+0.0111211
+0.00974239
+0.00774124
+0.00577329
+0.00385293
+0.00180981
+9.39357e-05
+-0.00155967
+-0.00269974
+-0.00206057
+-0.000720424
+0.000442839
+0.00237821
+0.00444503
+0.00656254
+0.00850547
+0.0104621
+0.0124967
+0.0145766
+0.0166833
+0.0188054
+0.0209416
+0.023088
+0.025242
+0.0273292
+0.0291997
+0.0301223
+0.0311452
+0.0322845
+0.0335284
+0.0341391
+0.0335604
+0.0331039
+0.0327581
+0.0325292
+0.0323548
+0.0322481
+0.0322901
+0.0323576
+0.032552
+0.0328682
+0.0333209
+0.0339094
+0.0345987
+0.0353579
+0.0361497
+0.0369658
+0.0378561
+0.0384722
+0.0391572
+0.0399474
+0.0404816
+0.0410641
+0.0416825
+0.0423968
+0.0432105
+0.0441181
+0.0451138
+0.0461921
+0.0472266
+0.0481314
+0.0491172
+0.0501795
+0.054133
+0.0528847
+0.0516991
+0.0505806
+0.0495038
+0.048457
+0.0474874
+0.0466007
+0.0457307
+0.0447512
+0.0438593
+0.0428968
+0.0420204
+0.0412345
+0.0404854
+0.0398071
+0.039234
+0.0385841
+0.0378534
+0.0372373
+0.036678
+0.0359921
+0.0345768
+0.032617
+0.0306801
+0.0287795
+0.026923
+0.0251205
+0.0233843
+0.0217305
+0.0201791
+0.0187558
+0.0174639
+0.016337
+0.0153685
+0.0143385
+0.0135166
+0.0125631
+0.0105848
+0.00867732
+0.00668178
+0.00482227
+0.00298548
+0.0014484
+0.00014297
+-0.0010675
+-0.00141162
+-0.000236885
+0.00137282
+0.00315038
+0.00465583
+0.00636401
+0.0082893
+0.010321
+0.0123904
+0.0144856
+0.0166038
+0.0187349
+0.0208783
+0.0229814
+0.0250535
+0.0263578
+0.0272041
+0.0281759
+0.0292669
+0.0304765
+0.0317912
+0.0326325
+0.0324288
+0.0319689
+0.0316113
+0.0313442
+0.031147
+0.0310362
+0.0310742
+0.0311228
+0.0313249
+0.0316614
+0.0321311
+0.0327409
+0.0334833
+0.034261
+0.0350699
+0.0359105
+0.0367642
+0.0373885
+0.0380895
+0.0389014
+0.039388
+0.039973
+0.0406126
+0.0413454
+0.0421794
+0.0431087
+0.0441272
+0.0449563
+0.0458012
+0.0467336
+0.0477484
+0.0488404
+0.0530853
+0.0518163
+0.0506056
+0.0494625
+0.0483608
+0.0472916
+0.0462981
+0.0453881
+0.0443021
+0.0432903
+0.0423676
+0.0415307
+0.040736
+0.0399172
+0.0391956
+0.0385851
+0.0380254
+0.0372701
+0.0365853
+0.0359485
+0.0354354
+0.0348916
+0.0342574
+0.0336184
+0.0317426
+0.0299096
+0.0281279
+0.0264077
+0.024762
+0.0232065
+0.0217606
+0.0204342
+0.019232
+0.0181899
+0.0170541
+0.0160921
+0.01531
+0.0135406
+0.0115761
+0.00965145
+0.00773437
+0.00599896
+0.00451637
+0.00305483
+0.00139789
+5.92316e-05
+-0.000103817
+0.000760194
+0.00161271
+0.003275
+0.00502676
+0.00673412
+0.00859109
+0.0105649
+0.0126105
+0.014698
+0.0167982
+0.0188604
+0.0209159
+0.0229711
+0.0235804
+0.0243263
+0.0252375
+0.026268
+0.027435
+0.0287218
+0.0299568
+0.0305688
+0.0313224
+0.0308398
+0.0304227
+0.0301453
+0.0299232
+0.0298079
+0.0298304
+0.0298811
+0.0300915
+0.0304585
+0.0309687
+0.0316005
+0.0323118
+0.0330682
+0.0339494
+0.0348644
+0.0357593
+0.0364009
+0.0371205
+0.0378372
+0.0383208
+0.0389219
+0.0396218
+0.0403726
+0.0412262
+0.0420977
+0.0427901
+0.0435669
+0.0444382
+0.0453986
+0.0464425
+0.0475645
+0.0520955
+0.0508132
+0.0495778
+0.0484101
+0.0472916
+0.0461978
+0.0451837
+0.0440175
+0.0429125
+0.0418782
+0.0409246
+0.0400683
+0.0392988
+0.0386337
+0.0379341
+0.037303
+0.0367916
+0.0359989
+0.0352684
+0.0346583
+0.0341258
+0.0337094
+0.033245
+0.0325618
+0.0320141
+0.0311531
+0.0294466
+0.0278082
+0.0262504
+0.0247885
+0.0234371
+0.0221819
+0.0210753
+0.019873
+0.0188097
+0.0179244
+0.016473
+0.0145164
+0.0125777
+0.0107364
+0.00905204
+0.00760049
+0.0060122
+0.00434222
+0.00276295
+0.00194084
+0.00194647
+0.00135232
+0.0019323
+0.00359397
+0.0056192
+0.00759441
+0.00934683
+0.0112308
+0.0131802
+0.0151083
+0.0170535
+0.0190521
+0.020494
+0.0208935
+0.0215098
+0.0223249
+0.0232951
+0.0244076
+0.0256593
+0.0270308
+0.0278672
+0.0285241
+0.0293303
+0.0297227
+0.0293327
+0.0290427
+0.028788
+0.0286681
+0.0286532
+0.0287059
+0.0289249
+0.0293065
+0.029838
+0.0304945
+0.031189
+0.0319723
+0.032877
+0.0338216
+0.0348142
+0.035521
+0.0362582
+0.036799
+0.0372961
+0.0379135
+0.0386453
+0.0394711
+0.040128
+0.0407407
+0.0414438
+0.0422454
+0.0431434
+0.0441319
+0.0452051
+0.0463355
+0.0511805
+0.0498736
+0.0486143
+0.0474228
+0.0462909
+0.0451837
+0.0439344
+0.042715
+0.0415754
+0.040522
+0.0395405
+0.0386552
+0.0378738
+0.0371832
+0.0366109
+0.0361083
+0.0355798
+0.0347953
+0.0340416
+0.0334121
+0.0328937
+0.0324517
+0.0321532
+0.0315801
+0.0310152
+0.030597
+0.0303316
+0.0293056
+0.0278318
+0.0264574
+0.0251674
+0.0240024
+0.0227559
+0.0216298
+0.0206486
+0.0193982
+0.0174518
+0.0155705
+0.013781
+0.0121238
+0.0105763
+0.00901598
+0.00738735
+0.00581944
+0.00455452
+0.0037558
+0.00364019
+0.00300647
+0.00338693
+0.00468316
+0.00640416
+0.00820045
+0.0100056
+0.0118505
+0.0137667
+0.0156145
+0.0175406
+0.0181466
+0.0183367
+0.0187822
+0.0194654
+0.0203593
+0.0214005
+0.0226065
+0.0239525
+0.0252516
+0.0257944
+0.0265027
+0.0273685
+0.0283618
+0.028164
+0.0279058
+0.0277257
+0.0276154
+0.0275461
+0.0276255
+0.027853
+0.028249
+0.0287808
+0.0294271
+0.0301258
+0.0309059
+0.0318179
+0.0328509
+0.0338705
+0.0347084
+0.0354362
+0.0358493
+0.0363595
+0.0369925
+0.0376377
+0.038306
+0.038824
+0.03945
+0.0401719
+0.0409984
+0.0419231
+0.0429289
+0.0439978
+0.0451373
+0.0503442
+0.0490139
+0.0477319
+0.0465178
+0.0453452
+0.0440695
+0.0427418
+0.0414874
+0.040313
+0.0392253
+0.0382095
+0.0372933
+0.0364859
+0.0357945
+0.0352077
+0.0347408
+0.034369
+0.033679
+0.032915
+0.0322635
+0.0317372
+0.0312809
+0.0309703
+0.0307074
+0.0301261
+0.0296954
+0.0294219
+0.0293101
+0.0293617
+0.0281773
+0.0269643
+0.0256889
+0.0245158
+0.0234522
+0.0223367
+0.0204354
+0.0185979
+0.0168451
+0.0152063
+0.0135985
+0.0120405
+0.0104636
+0.00889843
+0.00749366
+0.00633277
+0.00580035
+0.00534565
+0.00504064
+0.00530402
+0.00627377
+0.00746434
+0.00893223
+0.0106204
+0.0124611
+0.0142104
+0.0160068
+0.0160303
+0.0159728
+0.0161885
+0.0166914
+0.0174567
+0.0184237
+0.0195679
+0.02088
+0.0223303
+0.023152
+0.0237428
+0.0245105
+0.0254392
+0.0264976
+0.0270339
+0.0268254
+0.0266062
+0.0265392
+0.0264513
+0.0265444
+0.0267798
+0.0271572
+0.0277032
+0.0283814
+0.0291055
+0.0299123
+0.0308539
+0.0318415
+0.0329005
+0.0339801
+0.0344738
+0.0348051
+0.0352231
+0.0357466
+0.0363946
+0.0370675
+0.0376025
+0.0382374
+0.0389818
+0.0398206
+0.040747
+0.0417591
+0.0428462
+0.0439984
+0.0495907
+0.0482384
+0.0469353
+0.0457
+0.0444033
+0.0429888
+0.0416254
+0.0403349
+0.0391245
+0.038002
+0.0369604
+0.0360125
+0.0351757
+0.034458
+0.0338671
+0.033403
+0.0330376
+0.0326556
+0.0318743
+0.0312028
+0.0306702
+0.0301957
+0.0298502
+0.0296562
+0.0293591
+0.028917
+0.0286361
+0.0285212
+0.0285743
+0.0287514
+0.0286567
+0.0274369
+0.0263219
+0.0253132
+0.0234487
+0.0216453
+0.0199197
+0.018294
+0.0165819
+0.0149722
+0.0134775
+0.0119873
+0.0105244
+0.0092257
+0.00831039
+0.00779284
+0.00729876
+0.00713269
+0.00736117
+0.00783707
+0.0087709
+0.0100497
+0.0115761
+0.0131852
+0.0145765
+0.0140727
+0.0138642
+0.0138043
+0.0140533
+0.0146298
+0.0154937
+0.0165514
+0.0178163
+0.0192481
+0.0206289
+0.0210708
+0.0217184
+0.0225551
+0.0235474
+0.024687
+0.0258707
+0.0258077
+0.0256223
+0.0255447
+0.0254638
+0.0255487
+0.0257946
+0.0261964
+0.026762
+0.0274634
+0.0281761
+0.0290228
+0.0298723
+0.0308503
+0.0319488
+0.0330418
+0.0332519
+0.0336038
+0.0340253
+0.0345669
+0.0352366
+0.0359199
+0.0364637
+0.0371007
+0.0378404
+0.0386902
+0.0396285
+0.0406545
+0.0417588
+0.0429361
+0.0488536
+0.0475513
+0.0462288
+0.0449054
+0.0434224
+0.0419749
+0.0405774
+0.0392524
+0.0380077
+0.0368512
+0.0357915
+0.0348191
+0.0339529
+0.0332089
+0.0325953
+0.0321197
+0.0317876
+0.0315461
+0.0309153
+0.0302457
+0.0296732
+0.0291825
+0.0288439
+0.0286431
+0.0286091
+0.0282873
+0.0280001
+0.0278825
+0.0279368
+0.0281256
+0.0283592
+0.0282983
+0.0281816
+0.0264815
+0.0247053
+0.0230007
+0.0212524
+0.0195517
+0.0179576
+0.0164645
+0.0149688
+0.0135855
+0.0122196
+0.0111207
+0.0103087
+0.00970107
+0.00932646
+0.00917068
+0.00915968
+0.0095609
+0.0103421
+0.0114807
+0.0127558
+0.0134595
+0.0125351
+0.0119456
+0.0117073
+0.0116442
+0.0119383
+0.0126118
+0.0135717
+0.014767
+0.0161721
+0.0177372
+0.0185234
+0.0190144
+0.0197295
+0.0206407
+0.0217119
+0.0229248
+0.0241774
+0.0248837
+0.0247399
+0.0246042
+0.0245958
+0.0246838
+0.0249381
+0.0253797
+0.0259554
+0.0265475
+0.0272882
+0.0281008
+0.0289732
+0.0299805
+0.0311098
+0.0319156
+0.0321331
+0.0324961
+0.0329173
+0.0334768
+0.0341617
+0.0348602
+0.0353762
+0.0360182
+0.0367699
+0.0376192
+0.0385743
+0.0396161
+0.0407376
+0.0419437
+0.0481987
+0.0468321
+0.0452842
+0.0437912
+0.0423589
+0.0409937
+0.0396086
+0.0382613
+0.036984
+0.0357953
+0.0347043
+0.0337175
+0.0328297
+0.0320595
+0.0314235
+0.03093
+0.0305857
+0.0303734
+0.0300615
+0.029398
+0.0287805
+0.0283029
+0.0279602
+0.0277632
+0.0277281
+0.0277942
+0.0275018
+0.0273821
+0.0274374
+0.0276526
+0.0277559
+0.0276937
+0.0278045
+0.0277738
+0.0260069
+0.024244
+0.0225561
+0.0209615
+0.0194831
+0.017975
+0.0166157
+0.0152552
+0.0140526
+0.0130205
+0.012187
+0.0116852
+0.0113884
+0.0110461
+0.0110657
+0.0114131
+0.0120986
+0.0130067
+0.0130016
+0.0116367
+0.0105538
+0.00984634
+0.00956564
+0.00949806
+0.00985645
+0.0106583
+0.0117433
+0.0131065
+0.0146714
+0.0159797
+0.0164402
+0.0169914
+0.0177881
+0.0187766
+0.0199482
+0.0212226
+0.0225698
+0.0240414
+0.0239479
+0.0238042
+0.0238522
+0.0239218
+0.0241841
+0.0246134
+0.0251174
+0.0257131
+0.0264767
+0.0273056
+0.0282026
+0.0292365
+0.0303934
+0.0309039
+0.0311284
+0.0314817
+0.0319163
+0.0324931
+0.0331906
+0.0338371
+0.0343685
+0.0350087
+0.0357658
+0.0366383
+0.0376061
+0.0386619
+0.0398103
+0.0410436
+0.047479
+0.0458604
+0.044288
+0.0427602
+0.0412921
+0.0398904
+0.0385623
+0.0372974
+0.0360418
+0.0348209
+0.0336984
+0.0326813
+0.0317667
+0.0309732
+0.0303144
+0.0298024
+0.029445
+0.0292188
+0.029153
+0.028662
+0.0280267
+0.0275403
+0.0272164
+0.0270154
+0.0269793
+0.0271208
+0.02716
+0.0270388
+0.0270948
+0.0273126
+0.0273155
+0.0272523
+0.027361
+0.0276141
+0.0272594
+0.0255829
+0.0239894
+0.0224966
+0.0210079
+0.0196142
+0.0183118
+0.0170299
+0.01584
+0.0148793
+0.0141553
+0.0137257
+0.013312
+0.0130204
+0.0130614
+0.0133569
+0.0138632
+0.013193
+0.0114885
+0.00996313
+0.00867375
+0.00779757
+0.00745261
+0.00737815
+0.00783413
+0.00877174
+0.0100607
+0.0116229
+0.0131916
+0.0139271
+0.014389
+0.0150157
+0.0159032
+0.0169906
+0.0182771
+0.0196175
+0.0210676
+0.0226371
+0.0233169
+0.0231694
+0.0232278
+0.0233299
+0.023493
+0.0238448
+0.0242977
+0.0249129
+0.0256727
+0.0264606
+0.0273853
+0.0284489
+0.0295957
+0.0300182
+0.0302493
+0.0305825
+0.0310297
+0.0316227
+0.0323389
+0.0329176
+0.0334423
+0.0340936
+0.0348705
+0.0357519
+0.0367304
+0.0378106
+0.0389841
+0.0402428
+0.0466129
+0.0449632
+0.0433614
+0.0418131
+0.0403163
+0.0388795
+0.0375155
+0.0362328
+0.0350242
+0.0339039
+0.032807
+0.0317625
+0.0308207
+0.0300021
+0.0293216
+0.028792
+0.0284218
+0.0281874
+0.0281192
+0.0279622
+0.0274189
+0.0269305
+0.0265992
+0.0264165
+0.0263916
+0.0265362
+0.0268489
+0.0268703
+0.0269266
+0.0271458
+0.0270408
+0.026977
+0.0270579
+0.0273134
+0.0277286
+0.0270332
+0.0255304
+0.0240575
+0.0226396
+0.0213526
+0.0200047
+0.0187477
+0.0176739
+0.0168182
+0.0161809
+0.0158065
+0.0153076
+0.0150547
+0.0151112
+0.0147126
+0.0134849
+0.012082
+0.0102145
+0.00847728
+0.00697736
+0.0058525
+0.00540181
+0.0052919
+0.00591106
+0.00706076
+0.00860984
+0.0103924
+0.011147
+0.0119238
+0.0123856
+0.0131084
+0.0140936
+0.0153102
+0.016718
+0.0181354
+0.0196949
+0.0213655
+0.0228779
+0.0227273
+0.0227123
+0.0227422
+0.0228967
+0.023202
+0.0236434
+0.0242456
+0.0249407
+0.0257338
+0.0266836
+0.0277741
+0.0289153
+0.029222
+0.0294593
+0.0298173
+0.0302758
+0.0308833
+0.0316163
+0.0320993
+0.0326305
+0.0332976
+0.034079
+0.0349672
+0.035967
+0.0370695
+0.0382657
+0.0395472
+0.0458066
+0.044143
+0.0425194
+0.0409444
+0.0394229
+0.0379564
+0.0365585
+0.0352414
+0.0340145
+0.0328861
+0.0318413
+0.0309167
+0.030004
+0.0291636
+0.028463
+0.0279171
+0.0275352
+0.0272932
+0.0272049
+0.0272765
+0.0268745
+0.0264766
+0.026148
+0.0259655
+0.0259638
+0.0261228
+0.0264507
+0.0268798
+0.0269361
+0.027154
+0.0269127
+0.0268485
+0.026918
+0.0269334
+0.0269191
+0.0270516
+0.0271181
+0.0256823
+0.0243307
+0.023012
+0.0217082
+0.0205556
+0.0195812
+0.0188124
+0.0182448
+0.0178082
+0.0173503
+0.0160493
+0.0145556
+0.0130587
+0.0116581
+0.0104644
+0.00923797
+0.00731912
+0.0055623
+0.00414822
+0.0034415
+0.00329338
+0.00418971
+0.00568888
+0.00748954
+0.00834743
+0.00916395
+0.00991985
+0.0104575
+0.0113015
+0.0124076
+0.0137739
+0.0152688
+0.0168088
+0.0184806
+0.0202118
+0.0219349
+0.0224096
+0.0223529
+0.0223027
+0.0224602
+0.022728
+0.0231364
+0.0236751
+0.0243484
+0.0251602
+0.0261309
+0.0272167
+0.0280107
+0.0285561
+0.0287989
+0.0291969
+0.029665
+0.0302847
+0.0310087
+0.0314058
+0.0319485
+0.0326152
+0.0333988
+0.0343046
+0.0353232
+0.0364451
+0.0376612
+0.0389626
+0.0450562
+0.0433776
+0.041736
+0.0401346
+0.0385911
+0.0371129
+0.0356964
+0.0343463
+0.0330862
+0.0319269
+0.0308794
+0.0299237
+0.0290713
+0.0283628
+0.0277512
+0.0271911
+0.0267838
+0.0264967
+0.026389
+0.0264628
+0.0264348
+0.0260996
+0.0258398
+0.0256906
+0.0256924
+0.0258768
+0.0262094
+0.0267062
+0.0271231
+0.0272034
+0.0269625
+0.0268178
+0.0264453
+0.0262509
+0.0262386
+0.0263799
+0.0266945
+0.02716
+0.025971
+0.0247024
+0.0234925
+0.0224249
+0.0214955
+0.0207567
+0.019982
+0.0181067
+0.0163102
+0.0146215
+0.0130826
+0.0115368
+0.00997896
+0.00863476
+0.00749252
+0.0062727
+0.00464418
+0.00291622
+0.00183014
+0.00172197
+0.00301666
+0.00476046
+0.00564481
+0.00629266
+0.00729465
+0.00799747
+0.00865542
+0.0096277
+0.0109025
+0.0124353
+0.0140136
+0.0156773
+0.0173714
+0.0190995
+0.0209144
+0.022271
+0.0221229
+0.0220465
+0.0221221
+0.0223738
+0.0227498
+0.0232894
+0.0239426
+0.0247677
+0.0257235
+0.0264195
+0.0270984
+0.0279194
+0.0282932
+0.0287059
+0.029206
+0.0298276
+0.0304482
+0.0308526
+0.0313898
+0.0320539
+0.0328508
+0.0337713
+0.0348055
+0.0359436
+0.0371761
+0.0384939
+0.044384
+0.0426789
+0.04102
+0.0394131
+0.0378532
+0.036345
+0.0349091
+0.0335549
+0.0322801
+0.0310907
+0.030014
+0.0290412
+0.028162
+0.02743
+0.0268508
+0.0264124
+0.0261135
+0.0258381
+0.0257276
+0.0258033
+0.0260526
+0.0258609
+0.0256466
+0.0255652
+0.0256025
+0.0257911
+0.0261248
+0.0266337
+0.0272961
+0.0273811
+0.0266976
+0.026176
+0.0258301
+0.0256467
+0.0256341
+0.0258082
+0.0261651
+0.0266664
+0.0268815
+0.0263993
+0.0252489
+0.02423
+0.0231677
+0.0211215
+0.0191073
+0.0171365
+0.015226
+0.0134014
+0.0117032
+0.0101257
+0.00851573
+0.00691557
+0.00560458
+0.0045247
+0.00337604
+0.00228777
+0.000915118
+0.00102406
+0.0021508
+0.00283033
+0.0036491
+0.00430501
+0.00544239
+0.00625411
+0.00703641
+0.00819801
+0.00966334
+0.0113373
+0.0129996
+0.0146293
+0.0163595
+0.0181841
+0.0200819
+0.0220341
+0.0220302
+0.0219035
+0.0219575
+0.0221519
+0.0224906
+0.0230335
+0.0236769
+0.0243974
+0.0251002
+0.0256459
+0.0263305
+0.0271702
+0.0279504
+0.0283681
+0.0289063
+0.0295204
+0.0300375
+0.0304317
+0.0309616
+0.0316346
+0.0324418
+0.0333736
+0.0344198
+0.0355702
+0.0368152
+0.0381455
+0.0438111
+0.0420829
+0.0403995
+0.0387669
+0.0371917
+0.0356815
+0.0342321
+0.0328499
+0.0315595
+0.0303724
+0.0292758
+0.0282895
+0.0273862
+0.0266329
+0.0260425
+0.0256198
+0.0253499
+0.0252678
+0.0252096
+0.0252868
+0.0255523
+0.0256658
+0.0256028
+0.0255584
+0.0256644
+0.0258876
+0.0262237
+0.0267307
+0.0274039
+0.0268952
+0.0262298
+0.0257001
+0.0253478
+0.0251639
+0.0251511
+0.0253284
+0.025692
+0.0262341
+0.026659
+0.0269254
+0.0266308
+0.0245887
+0.0225745
+0.020531
+0.0184526
+0.0164033
+0.0143958
+0.0124501
+0.0106005
+0.00890706
+0.00724937
+0.00548422
+0.00390732
+0.00261551
+0.00148517
+0.000956729
+0.000316793
+0.000128928
+0.000726868
+0.00153779
+0.0015953
+0.0026171
+0.00359676
+0.00466375
+0.00573524
+0.00711734
+0.00866897
+0.0103541
+0.012061
+0.0137654
+0.0155917
+0.0174965
+0.0194615
+0.0214508
+0.022121
+0.021957
+0.0219649
+0.022101
+0.0224337
+0.0228106
+0.023353
+0.0240721
+0.0244553
+0.0250178
+0.0257268
+0.0265749
+0.0275218
+0.028197
+0.0287668
+0.0293739
+0.0297556
+0.0301481
+0.0306828
+0.0313618
+0.0321759
+0.0331152
+0.0341693
+0.0353279
+0.0365811
+0.0378998
+0.0433219
+0.0415938
+0.0398898
+0.0382355
+0.0366374
+0.0351034
+0.0336421
+0.0322635
+0.0309571
+0.029746
+0.0286503
+0.0276519
+0.0267618
+0.0259964
+0.0253913
+0.0249614
+0.0246843
+0.0245999
+0.0247102
+0.0249526
+0.0252216
+0.0255917
+0.0256501
+0.0257019
+0.0258441
+0.0261331
+0.0265023
+0.0270056
+0.0273722
+0.0265812
+0.0259077
+0.0253713
+0.0250144
+0.0248462
+0.0248438
+0.0250234
+0.0253913
+0.0259397
+0.0265528
+0.0268239
+0.0262784
+0.0242066
+0.0221577
+0.0201387
+0.0180261
+0.0159325
+0.0138652
+0.0118326
+0.00986797
+0.0080213
+0.00625945
+0.00435139
+0.00253091
+0.000902646
+-3.933e-06
+-0.00112951
+-0.00116515
+-0.00183868
+-0.000919963
+-0.000490106
+-0.000215186
+0.000638848
+0.00189186
+0.00324542
+0.00462424
+0.00628956
+0.0078788
+0.00970213
+0.0114252
+0.0132118
+0.0151053
+0.0170196
+0.0189452
+0.0209231
+0.0223893
+0.0221818
+0.0221315
+0.02216
+0.022328
+0.0226708
+0.0232161
+0.0235182
+0.0238868
+0.0244245
+0.0251421
+0.026025
+0.0270447
+0.028176
+0.028767
+0.0293718
+0.0296076
+0.0299924
+0.0305298
+0.0312122
+0.0320301
+0.0329735
+0.034032
+0.0351951
+0.0364529
+0.037776
+0.0429076
+0.0411639
+0.0394649
+0.0378165
+0.0362074
+0.0346543
+0.0331733
+0.0317743
+0.0304689
+0.0292577
+0.0281451
+0.027148
+0.0262408
+0.0254901
+0.0248992
+0.024478
+0.0241953
+0.0241092
+0.0242218
+0.0245129
+0.0249626
+0.0254978
+0.0257629
+0.0259783
+0.02617
+0.0264914
+0.0269237
+0.0274516
+0.0272018
+0.0263983
+0.0257565
+0.0252292
+0.0248702
+0.024701
+0.0246987
+0.0248792
+0.0252493
+0.0258007
+0.0264984
+0.0268974
+0.0261057
+0.0240191
+0.0219526
+0.0199128
+0.0178255
+0.0157051
+0.0136071
+0.0115436
+0.00953696
+0.00763223
+0.0056558
+0.00356286
+0.00170066
+-0.0001698
+-0.00191681
+-0.00284288
+-0.00318149
+-0.00389802
+-0.00292587
+-0.00267517
+-0.00184292
+-0.000125986
+0.00147783
+0.00276318
+0.00420784
+0.00586683
+0.00751052
+0.00915977
+0.0109538
+0.0128685
+0.0147185
+0.0166404
+0.0186054
+0.0206159
+0.0226598
+0.0225487
+0.0222871
+0.0222024
+0.0223332
+0.0226759
+0.0228973
+0.0230687
+0.0234209
+0.023969
+0.0246999
+0.025598
+0.0266294
+0.0277783
+0.0289169
+0.0293855
+0.0296115
+0.0299963
+0.0305337
+0.0312159
+0.0320337
+0.032977
+0.0340354
+0.0351984
+0.0364561
+0.0377791
+0.0424667
+0.040831
+0.0391176
+0.0374539
+0.0358469
+0.0343046
+0.0328361
+0.0314306
+0.0301102
+0.028884
+0.0277727
+0.0267947
+0.0258831
+0.0251217
+0.0245329
+0.0241161
+0.0238918
+0.0238108
+0.0239248
+0.0242195
+0.0246745
+0.0252844
+0.025856
+0.0262717
+0.026656
+0.0269879
+0.0274738
+0.0277482
+0.026887
+0.0261805
+0.0256302
+0.0252339
+0.0249185
+0.0247497
+0.0247473
+0.0249275
+0.0252969
+0.0258473
+0.0265237
+0.0271481
+0.0260838
+0.0240024
+0.0219422
+0.0199098
+0.0178928
+0.0157815
+0.0136952
+0.0116473
+0.009597
+0.00741004
+0.00522622
+0.00305224
+0.000905476
+-0.000930551
+-0.00280555
+-0.00468368
+-0.00528428
+-0.00579736
+-0.00505133
+-0.0034339
+-0.00173622
+0.000107718
+0.00163718
+0.00289218
+0.0041102
+0.00569743
+0.0072837
+0.00892056
+0.0107546
+0.0127022
+0.0146107
+0.0165451
+0.0185202
+0.020539
+0.0224794
+0.0228017
+0.0225066
+0.0224227
+0.0225523
+0.0226134
+0.022639
+0.0227882
+0.0231448
+0.0236993
+0.0244382
+0.025336
+0.0263595
+0.0275197
+0.0288
+0.0295524
+0.0297771
+0.0301597
+0.0306943
+0.031373
+0.0321868
+0.0331258
+0.0341795
+0.0353378
+0.0365724
+0.0378896
+0.0417051
+0.0406072
+0.0388907
+0.0372169
+0.0355992
+0.0340457
+0.0325655
+0.0311691
+0.0298682
+0.0286501
+0.0275369
+0.026558
+0.0256677
+0.024924
+0.0243352
+0.0239283
+0.023715
+0.0236903
+0.0238048
+0.0241186
+0.024579
+0.0251923
+0.0259629
+0.026573
+0.0271207
+0.0276341
+0.0281238
+0.0274641
+0.0266178
+0.0259039
+0.0253597
+0.0249964
+0.0247637
+0.0247067
+0.0248254
+0.0251162
+0.0254732
+0.0259842
+0.0266596
+0.0274833
+0.0262423
+0.0241745
+0.0221303
+0.020117
+0.018102
+0.0161238
+0.0141267
+0.0119782
+0.00983281
+0.00771301
+0.00564757
+0.0036157
+0.00157169
+-0.000489425
+-0.00261209
+-0.00476371
+-0.00693981
+-0.00766805
+-0.00599689
+-0.00423822
+-0.00227295
+-0.000355803
+0.00157037
+0.00339887
+0.00482962
+0.00623664
+0.00759414
+0.00917377
+0.0109656
+0.0128588
+0.0147282
+0.016676
+0.0186216
+0.0198422
+0.0212193
+0.0227175
+0.0229342
+0.0228519
+0.0226085
+0.0224565
+0.0225111
+0.0226848
+0.023043
+0.0235998
+0.0243418
+0.025243
+0.0262702
+0.0274341
+0.0287183
+0.0298793
+0.0301016
+0.0304801
+0.0310092
+0.0316812
+0.0324873
+0.0334178
+0.0344626
+0.0355899
+0.0368059
+0.0380954
+0.0410406
+0.0403802
+0.0387647
+0.0370947
+0.0354814
+0.0339265
+0.0324409
+0.0310389
+0.0297323
+0.0285343
+0.027433
+0.0264595
+0.025582
+0.0248488
+0.0242885
+0.0238919
+0.0236813
+0.023672
+0.0238446
+0.0241815
+0.0246568
+0.025285
+0.0260663
+0.0269787
+0.0276209
+0.0282767
+0.0283351
+0.0273503
+0.0265003
+0.0257832
+0.0252364
+0.0248712
+0.0246749
+0.0246177
+0.0247551
+0.0250658
+0.0255424
+0.0261941
+0.0269586
+0.0277735
+0.0265768
+0.0245088
+0.0224167
+0.0202582
+0.0181041
+0.0159598
+0.0138302
+0.011723
+0.00964646
+0.00762633
+0.00546886
+0.00331427
+0.00118705
+-0.000898721
+-0.00304699
+-0.00521548
+-0.00735307
+-0.0088049
+-0.00683997
+-0.0048774
+-0.00291434
+-0.000943183
+0.000992449
+0.00295507
+0.00498766
+0.00657988
+0.00808925
+0.00979815
+0.0114523
+0.0131578
+0.0148449
+0.0161918
+0.0173351
+0.0186476
+0.0201067
+0.0216892
+0.0232254
+0.022995
+0.0226346
+0.0224827
+0.0225373
+0.0227688
+0.023149
+0.0237033
+0.0244422
+0.0253398
+0.0263632
+0.0275232
+0.0287842
+0.0301393
+0.03058
+0.0309526
+0.0314737
+0.032136
+0.032931
+0.0338247
+0.0347872
+0.0358224
+0.0369586
+0.0381867
+0.0404247
+0.039767
+0.0387528
+0.0370822
+0.0354682
+0.0339189
+0.0324437
+0.0310526
+0.0297466
+0.0285493
+0.0274731
+0.0265011
+0.0256796
+0.0249534
+0.0243986
+0.0240306
+0.0238224
+0.0238131
+0.0239923
+0.0243547
+0.0249053
+0.0255336
+0.0263076
+0.0272272
+0.0281822
+0.028937
+0.0283175
+0.027351
+0.0265111
+0.0258301
+0.0253028
+0.0249386
+0.0247635
+0.0247233
+0.0248601
+0.0251874
+0.0256766
+0.026325
+0.0271049
+0.028031
+0.0266454
+0.0244651
+0.0222869
+0.0201114
+0.0179396
+0.015773
+0.0136142
+0.0114674
+0.00933417
+0.00720684
+0.0050341
+0.00288859
+0.000885179
+-0.00118197
+-0.00331984
+-0.00543962
+-0.00746452
+-0.00954578
+-0.00770631
+-0.00560068
+-0.00359737
+-0.00150882
+0.000568476
+0.00243216
+0.00435325
+0.00578708
+0.00756341
+0.00940474
+0.0109843
+0.0124233
+0.0137874
+0.0149924
+0.0162179
+0.0176177
+0.0191554
+0.0207177
+0.0222568
+0.022888
+0.0225514
+0.022399
+0.0224463
+0.0226787
+0.0231173
+0.0237507
+0.0245278
+0.0254683
+0.0265567
+0.0277099
+0.0289499
+0.0302976
+0.0312051
+0.0315704
+0.0320545
+0.0326197
+0.0333032
+0.0341028
+0.0350214
+0.0360499
+0.0371791
+0.0383728
+0.0398925
+0.0392477
+0.0387001
+0.0371816
+0.0355721
+0.0340275
+0.0325572
+0.0311712
+0.0298705
+0.0286783
+0.0276087
+0.0266764
+0.0258948
+0.0252104
+0.0246614
+0.0242982
+0.0241292
+0.0241409
+0.0243298
+0.0246945
+0.0252377
+0.0259549
+0.0267268
+0.0276391
+0.0286615
+0.0295199
+0.0284402
+0.0274802
+0.0266499
+0.0259726
+0.0254663
+0.0251414
+0.0250048
+0.0249892
+0.0251562
+0.0254796
+0.0259634
+0.0266048
+0.0274068
+0.0283172
+0.0266928
+0.02454
+0.0223691
+0.0202025
+0.0180416
+0.015889
+0.0137483
+0.0116263
+0.00947458
+0.00730468
+0.00515241
+0.00305522
+0.00122462
+-0.000589926
+-0.00264448
+-0.00480132
+-0.0069783
+-0.00909316
+-0.00791276
+-0.00583233
+-0.00380666
+-0.00189382
+8.39987e-05
+0.00204673
+0.00364351
+0.00534874
+0.00701105
+0.0085366
+0.0100023
+0.0114471
+0.0127801
+0.0140021
+0.015334
+0.0168041
+0.0183674
+0.0198471
+0.0214378
+0.0228113
+0.0224804
+0.0223276
+0.022389
+0.0226339
+0.0230556
+0.0236723
+0.0244504
+0.0253938
+0.0264611
+0.0276506
+0.0289572
+0.0303659
+0.0318096
+0.0320813
+0.0324968
+0.0330266
+0.033687
+0.0344238
+0.0352814
+0.0362513
+0.0373247
+0.0384851
+0.0394286
+0.0387887
+0.0382636
+0.0374092
+0.0358099
+0.0342761
+0.0328168
+0.0314377
+0.0301523
+0.0289728
+0.0279145
+0.0269928
+0.0262222
+0.0255504
+0.0250458
+0.0247204
+0.0245543
+0.0245831
+0.0248061
+0.0251848
+0.0257415
+0.0264368
+0.0272872
+0.0282071
+0.0292136
+0.029775
+0.0287049
+0.0277541
+0.0269355
+0.0262746
+0.0257775
+0.0254565
+0.0253215
+0.0253633
+0.025533
+0.0258877
+0.0264198
+0.0270596
+0.0278485
+0.0287408
+0.0266337
+0.0245412
+0.0224674
+0.0203528
+0.0182453
+0.0161601
+0.0141068
+0.0120554
+0.00996623
+0.00793198
+0.00600876
+0.00409599
+0.00204195
+-9.11875e-05
+-0.00223261
+-0.00440123
+-0.00617685
+-0.00753921
+-0.00711679
+-0.00578397
+-0.00385149
+-0.00195263
+-7.62088e-05
+0.00162849
+0.00332579
+0.00503963
+0.0065037
+0.00781573
+0.00914409
+0.0105886
+0.0119264
+0.0132182
+0.0146264
+0.0161482
+0.0176399
+0.0190871
+0.0206614
+0.0223029
+0.02261
+0.022458
+0.0225191
+0.0227626
+0.0231648
+0.0237579
+0.0245329
+0.0254733
+0.0265363
+0.0277226
+0.029026
+0.0304314
+0.0319243
+0.0325683
+0.032895
+0.0333627
+0.0339654
+0.0346875
+0.0354865
+0.0364
+0.0374196
+0.0385369
+0.0390814
+0.0384357
+0.0379058
+0.0374966
+0.0361667
+0.0346426
+0.0331931
+0.0318285
+0.0305602
+0.0294006
+0.0283584
+0.0274517
+0.0266943
+0.0260641
+0.0255697
+0.0252563
+0.0251307
+0.0251629
+0.0253808
+0.025779
+0.0263233
+0.0270346
+0.0279001
+0.0288771
+0.0299013
+0.0301871
+0.0291321
+0.028196
+0.0273847
+0.0267261
+0.0262343
+0.025919
+0.0257866
+0.0258399
+0.0260436
+0.0264077
+0.0269253
+0.0275932
+0.0283745
+0.0288264
+0.0267347
+0.0246602
+0.0226035
+0.0205654
+0.0185335
+0.0164776
+0.0144613
+0.0125038
+0.0106365
+0.00874604
+0.00655547
+0.00436499
+0.00217465
+-9.50454e-06
+-0.00206481
+-0.00326001
+-0.00453484
+-0.00584036
+-0.00565593
+-0.00458989
+-0.00378207
+-0.0018613
+-0.000141672
+0.00156432
+0.00358605
+0.00495363
+0.00622842
+0.007353
+0.0086952
+0.0100539
+0.0112958
+0.0126716
+0.014106
+0.0155035
+0.0169779
+0.018477
+0.0200828
+0.0217041
+0.0228903
+0.0227779
+0.022808
+0.0230368
+0.0234449
+0.024031
+0.0247975
+0.0257282
+0.0267896
+0.0279651
+0.0292577
+0.0306525
+0.0321357
+0.0329925
+0.0332593
+0.0336669
+0.0342101
+0.0348827
+0.0356774
+0.036541
+0.0374823
+0.0385253
+0.0388508
+0.0382013
+0.0376681
+0.0372562
+0.0366382
+0.0351345
+0.0337062
+0.0323625
+0.0311116
+0.0299688
+0.0289469
+0.0280592
+0.0273128
+0.0266968
+0.0262328
+0.0259274
+0.025805
+0.0258683
+0.0260973
+0.0264891
+0.0270532
+0.0277626
+0.0286061
+0.0295881
+0.0306953
+0.0306652
+0.029622
+0.0287083
+0.0279369
+0.0272927
+0.0268113
+0.0265029
+0.0263734
+0.0264255
+0.0266248
+0.0269995
+0.0275439
+0.0282411
+0.029037
+0.0290632
+0.0269935
+0.0249405
+0.0229111
+0.0209008
+0.01893
+0.017013
+0.0151195
+0.0132525
+0.0111209
+0.00898317
+0.00683075
+0.00470325
+0.00265935
+0.000889226
+-0.000451188
+-0.00156075
+-0.00287144
+-0.00438526
+-0.00441846
+-0.00306121
+-0.00222191
+-0.00189272
+-0.000324716
+0.00149998
+0.00343805
+0.00529258
+0.00618002
+0.00726837
+0.00851649
+0.00972548
+0.0109774
+0.0122912
+0.0136708
+0.0151086
+0.01654
+0.018041
+0.0195634
+0.0211076
+0.0227581
+0.0231223
+0.0231817
+0.0234159
+0.023841
+0.0244328
+0.025187
+0.0261038
+0.0271668
+0.0283443
+0.0296204
+0.0309989
+0.0324668
+0.033338
+0.0336021
+0.0340055
+0.0344747
+0.0350626
+0.0357752
+0.0366052
+0.0374812
+0.0383312
+0.038699
+0.0380469
+0.0375114
+0.0370979
+0.0368102
+0.035746
+0.0343392
+0.0330179
+0.0317927
+0.0306753
+0.0296778
+0.0288126
+0.0280722
+0.0274733
+0.0270391
+0.026761
+0.0266425
+0.0267037
+0.0269436
+0.0273412
+0.027888
+0.0285926
+0.0294438
+0.0304129
+0.0314911
+0.0312843
+0.0302624
+0.0293687
+0.028615
+0.027997
+0.027528
+0.0272277
+0.0271016
+0.0271524
+0.0273694
+0.0277341
+0.0282547
+0.0289238
+0.0297328
+0.0292836
+0.0273305
+0.0253837
+0.0234004
+0.0214556
+0.0195408
+0.0176902
+0.0157991
+0.0137021
+0.0116202
+0.00955513
+0.00755509
+0.00561542
+0.0038591
+0.00244951
+0.00131098
+7.02325e-05
+-0.0014363
+-0.00306291
+-0.00335213
+-0.00186152
+-0.000611806
+-0.000125539
+7.62722e-05
+0.00131034
+0.00293098
+0.00468577
+0.0065731
+0.00761075
+0.00857083
+0.00974343
+0.0109511
+0.0122655
+0.013579
+0.0148596
+0.0162731
+0.0176642
+0.0191152
+0.0206538
+0.0220815
+0.0235977
+0.02371
+0.0239811
+0.024405
+0.0250058
+0.0257552
+0.0266524
+0.0276943
+0.0288651
+0.0301379
+0.0314938
+0.0329396
+0.0337162
+0.0339092
+0.0342274
+0.0346814
+0.0352148
+0.0357174
+0.0363453
+0.0370795
+0.037914
+0.0386708
+0.0380182
+0.0374824
+0.0370685
+0.0367807
+0.0364614
+0.0350833
+0.0337911
+0.0325951
+0.0315062
+0.0305358
+0.0296956
+0.0289757
+0.0283958
+0.027976
+0.0277233
+0.0276133
+0.0276724
+0.0279039
+0.0283036
+0.0288379
+0.02952
+0.0303453
+0.0313024
+0.0323797
+0.0320415
+0.0310446
+0.030174
+0.029441
+0.0288407
+0.0283856
+0.0280944
+0.0279723
+0.0280214
+0.0282409
+0.028594
+0.0290909
+0.0297412
+0.0305352
+0.0296288
+0.0276958
+0.0258041
+0.0239633
+0.0220889
+0.0202513
+0.0181821
+0.0161378
+0.0141375
+0.0122027
+0.0103351
+0.00850327
+0.00678727
+0.00529241
+0.00418241
+0.00302191
+0.00147715
+-0.000175301
+-0.00194432
+-0.00247091
+-0.0006833
+0.000783799
+0.00176321
+0.00162106
+0.0021419
+0.00326546
+0.00476245
+0.00651689
+0.00823184
+0.00903143
+0.00997388
+0.0111596
+0.0123191
+0.0135732
+0.0146357
+0.0155725
+0.0167016
+0.0180272
+0.0195094
+0.0209954
+0.0225803
+0.0242501
+0.0245833
+0.0250428
+0.0256458
+0.0264006
+0.0273107
+0.0283443
+0.0294894
+0.030748
+0.032107
+0.0335491
+0.0340679
+0.0341779
+0.0342781
+0.0345172
+0.0348925
+0.0353997
+0.0360201
+0.0367483
+0.0375902
+0.0387667
+0.0381157
+0.0375813
+0.0371685
+0.0368814
+0.036723
+0.0359458
+0.0346857
+0.0335216
+0.0324638
+0.0315229
+0.0307097
+0.0300066
+0.029447
+0.0290424
+0.0287991
+0.0287011
+0.028758
+0.0289808
+0.0293658
+0.0299068
+0.0305704
+0.0313681
+0.0322949
+0.0333401
+0.0329273
+0.031958
+0.031113
+0.0304026
+0.0298217
+0.0293818
+0.0291006
+0.0289827
+0.0290302
+0.0292421
+0.0295832
+0.0300637
+0.0306935
+0.0314586
+0.0300816
+0.0282269
+0.0263733
+0.0245752
+0.0227941
+0.0207532
+0.0187352
+0.0167585
+0.014842
+0.0129845
+0.0112235
+0.00961595
+0.00820208
+0.00694034
+0.00596852
+0.00439329
+0.00264363
+0.000902404
+-0.000862055
+-0.00134336
+0.000141862
+0.00192103
+0.00319414
+0.00335033
+0.00364074
+0.00439534
+0.00544814
+0.00691381
+0.00840809
+0.00963949
+0.0104374
+0.0113557
+0.0117657
+0.0123905
+0.0133197
+0.0143548
+0.0155724
+0.0169864
+0.0185228
+0.020057
+0.0216998
+0.0234324
+0.0252363
+0.0257744
+0.0263792
+0.0271478
+0.0280484
+0.0290722
+0.0302046
+0.0314346
+0.0327651
+0.0341844
+0.0340276
+0.0339872
+0.0340879
+0.0343284
+0.0347057
+0.0352024
+0.0358134
+0.0365457
+0.0373921
+0.0389773
+0.0383383
+0.0378071
+0.0373967
+0.0371114
+0.036954
+0.0369116
+0.0356926
+0.0345624
+0.0335374
+0.0326275
+0.0318381
+0.0311576
+0.0306191
+0.0302301
+0.0299965
+0.0299101
+0.0299646
+0.0301786
+0.0305485
+0.0310689
+0.0317178
+0.0324987
+0.0334017
+0.0344133
+0.0338612
+0.0329101
+0.0320806
+0.0313823
+0.0308243
+0.030407
+0.0301354
+0.0300216
+0.0300673
+0.030272
+0.0306108
+0.0310995
+0.0317301
+0.0305747
+0.0289691
+0.0273973
+0.0258695
+0.0244008
+0.0230384
+0.0214641
+0.0195198
+0.0176123
+0.0157695
+0.014027
+0.0124149
+0.0109516
+0.00974479
+0.00861724
+0.00730671
+0.00550871
+0.00362701
+0.0018381
+0.000372919
+-9.95243e-05
+0.00106674
+0.00280646
+0.00451738
+0.0051989
+0.00538365
+0.00574123
+0.00654501
+0.00757252
+0.00882327
+0.00972254
+0.00958299
+0.00984781
+0.0104991
+0.0111621
+0.0121418
+0.0133613
+0.0146617
+0.0161556
+0.0177117
+0.0193104
+0.0210046
+0.022775
+0.0246132
+0.026505
+0.0272163
+0.0279619
+0.028855
+0.0298788
+0.0309971
+0.0322257
+0.0335458
+0.0341323
+0.0339592
+0.0339188
+0.0340197
+0.0342606
+0.0346387
+0.0351277
+0.0357399
+0.0364737
+0.0373218
+0.03927
+0.0386755
+0.0381575
+0.037751
+0.0374683
+0.0373124
+0.0372704
+0.0367966
+0.0357002
+0.0347076
+0.033828
+0.0330561
+0.0324012
+0.0318837
+0.0315104
+0.0312863
+0.0312148
+0.0312756
+0.0314806
+0.0318354
+0.0323351
+0.0329617
+0.0337138
+0.0345885
+0.0355768
+0.0348697
+0.0339469
+0.0331434
+0.032468
+0.031929
+0.0315226
+0.0312607
+0.0311509
+0.0311951
+0.0313924
+0.0317229
+0.0321947
+0.0310866
+0.0293458
+0.0276691
+0.02604
+0.024454
+0.0229429
+0.0215197
+0.0202005
+0.0189974
+0.0178743
+0.0169244
+0.015314
+0.0138238
+0.0125109
+0.0113883
+0.0102708
+0.00832362
+0.00644358
+0.00465518
+0.00300628
+0.0016476
+0.00128792
+0.00209909
+0.0036242
+0.0054759
+0.00682876
+0.00698568
+0.0073075
+0.00769746
+0.00842165
+0.00829093
+0.00797858
+0.00815313
+0.00857418
+0.00936679
+0.0101148
+0.0111677
+0.0124794
+0.0140125
+0.0155293
+0.0171266
+0.0187519
+0.0204827
+0.0222946
+0.0241693
+0.0260933
+0.0280553
+0.0289195
+0.0297838
+0.0307801
+0.0318927
+0.033088
+0.0343816
+0.0341959
+0.0340231
+0.0339828
+0.0340835
+0.034324
+0.0347014
+0.0351894
+0.0358006
+0.0365332
+0.0373799
+0.0396488
+0.0390601
+0.0385869
+0.0381917
+0.0379123
+0.0377583
+0.0377309
+0.0378037
+0.0369148
+0.0359558
+0.0351074
+0.0343643
+0.0337348
+0.0332381
+0.0328801
+0.0326654
+0.0325969
+0.0326743
+0.032872
+0.0332119
+0.0336912
+0.0343006
+0.0350239
+0.0358667
+0.0368207
+0.0359836
+0.03509
+0.0343133
+0.0336614
+0.0331417
+0.0327469
+0.0324948
+0.0323893
+0.0324317
+0.0326216
+0.0329433
+0.0318768
+0.030039
+0.0282337
+0.0264867
+0.0247804
+0.0231278
+0.0215541
+0.0200678
+0.0186959
+0.0174324
+0.016265
+0.0152558
+0.0145035
+0.0140171
+0.0138421
+0.0130316
+0.0110479
+0.0091516
+0.00736237
+0.00566229
+0.00410681
+0.00300891
+0.00273868
+0.00331946
+0.00460009
+0.00624739
+0.00810847
+0.00856087
+0.00869664
+0.00788451
+0.00687129
+0.00623198
+0.00611698
+0.00652823
+0.00734149
+0.00823709
+0.00940098
+0.010524
+0.0118875
+0.0134465
+0.0150888
+0.0167168
+0.0184076
+0.0201689
+0.0219997
+0.0238913
+0.0258301
+0.0277943
+0.0296055
+0.0308368
+0.0318002
+0.0328815
+0.0340641
+0.0346324
+0.0343412
+0.0341882
+0.0341558
+0.034256
+0.0344952
+0.0348708
+0.0353783
+0.0359948
+0.0367235
+0.0375659
+0.04013
+0.0395484
+0.0390812
+0.0387324
+0.0384636
+0.0383117
+0.0382848
+0.0383831
+0.0382165
+0.0372909
+0.0364736
+0.0357589
+0.0351544
+0.034678
+0.0343351
+0.0341295
+0.034064
+0.0341391
+0.0343468
+0.0346723
+0.0351316
+0.0357196
+0.0364188
+0.03723
+0.0381499
+0.0371932
+0.0363294
+0.0355797
+0.0349514
+0.0344472
+0.0340671
+0.0338249
+0.0337235
+0.0337643
+0.0339466
+0.0329069
+0.0309813
+0.0290933
+0.02725
+0.0254383
+0.0236555
+0.0219193
+0.0202696
+0.0187179
+0.01727
+0.015926
+0.0147261
+0.0136719
+0.0128339
+0.0122864
+0.0120864
+0.0122372
+0.0119868
+0.0101987
+0.00840825
+0.00678165
+0.00540704
+0.00449459
+0.00424739
+0.00471661
+0.00577281
+0.00718168
+0.00883997
+0.00969137
+0.00786851
+0.00625715
+0.00494602
+0.00420357
+0.00405331
+0.00473634
+0.0059946
+0.0073436
+0.00870292
+0.010145
+0.0115775
+0.0131906
+0.0148515
+0.0165875
+0.0182899
+0.0200421
+0.0217945
+0.0236202
+0.0255034
+0.0274324
+0.0293004
+0.0311961
+0.0329026
+0.0339488
+0.0351008
+0.0347842
+0.0344943
+0.034342
+0.0343097
+0.0344095
+0.0346477
+0.0350216
+0.0355269
+0.0361581
+0.0369087
+0.0377549
+0.0407235
+0.0401505
+0.0396904
+0.039347
+0.0391234
+0.0389807
+0.0389542
+0.0390508
+0.0392406
+0.0387041
+0.0379173
+0.0372303
+0.0366501
+0.0361934
+0.0358649
+0.0356682
+0.0356054
+0.0356774
+0.0358826
+0.036195
+0.0366353
+0.0371995
+0.0378822
+0.0386694
+0.0394043
+0.0384726
+0.0376455
+0.0369295
+0.0363118
+0.0358177
+0.0354523
+0.0352196
+0.0351222
+0.0351614
+0.0341876
+0.0321896
+0.0302184
+0.0282795
+0.02638
+0.0245292
+0.0226865
+0.0208715
+0.0191316
+0.0174933
+0.0159793
+0.014577
+0.0132323
+0.0120473
+0.0111704
+0.0106289
+0.0104675
+0.0106346
+0.0112055
+0.0112994
+0.00966374
+0.00816029
+0.00689625
+0.0060869
+0.00582096
+0.00614564
+0.00703731
+0.00834448
+0.00989506
+0.00865826
+0.006694
+0.00484273
+0.00325176
+0.00217364
+0.00216743
+0.00321575
+0.00481743
+0.00670683
+0.00832899
+0.0098189
+0.0112776
+0.0128781
+0.0145359
+0.0161976
+0.0179651
+0.0197082
+0.0214878
+0.0233375
+0.0252419
+0.0271828
+0.0291368
+0.0310435
+0.0329856
+0.03493
+0.0354845
+0.0350725
+0.034785
+0.034634
+0.034602
+0.0347009
+0.0349371
+0.0353079
+0.0358092
+0.0364355
+0.0371805
+0.0380308
+0.0414245
+0.0408614
+0.0404093
+0.0400721
+0.0398526
+0.0397528
+0.0397332
+0.0398279
+0.040014
+0.040187
+0.0394298
+0.0387632
+0.0382063
+0.0377684
+0.0374538
+0.0372654
+0.0372054
+0.0372742
+0.0374712
+0.0377766
+0.0381986
+0.0387401
+0.0393961
+0.0401611
+0.0407253
+0.0398246
+0.0390262
+0.0383359
+0.0377413
+0.0372661
+0.036915
+0.0366916
+0.0365982
+0.035692
+0.0336407
+0.0316082
+0.0295983
+0.0276159
+0.0256674
+0.0237611
+0.0218594
+0.0199889
+0.0181873
+0.0164553
+0.0148449
+0.0132783
+0.0117416
+0.0103934
+0.00936304
+0.00871094
+0.00853608
+0.00888063
+0.00965342
+0.0108004
+0.0110047
+0.0096357
+0.00853966
+0.0078018
+0.00751613
+0.00774801
+0.00847576
+0.00961742
+0.00928954
+0.00746494
+0.00573953
+0.00377865
+0.00179613
+0.000196284
+0.000415668
+0.00199638
+0.00401456
+0.00575671
+0.00747343
+0.00923627
+0.0108498
+0.0125139
+0.0142532
+0.0159673
+0.0177565
+0.0195963
+0.0213846
+0.023242
+0.0251455
+0.0270809
+0.0290526
+0.0310132
+0.0329562
+0.0349285
+0.0358752
+0.035475
+0.0352068
+0.0350606
+0.035029
+0.0351267
+0.0353601
+0.0357266
+0.036222
+0.0368413
+0.0375783
+0.0384199
+0.0422276
+0.0416753
+0.0412322
+0.0409017
+0.0406867
+0.040589
+0.0406093
+0.0407083
+0.0408904
+0.0411844
+0.0409981
+0.0403532
+0.0398185
+0.0393985
+0.039097
+0.0389167
+0.0388591
+0.038925
+0.0391137
+0.0394165
+0.0398212
+0.0403409
+0.0409713
+0.0417074
+0.0421189
+0.0412486
+0.0404783
+0.039811
+0.0392387
+0.0387818
+0.0384446
+0.0382301
+0.037373
+0.0352888
+0.0332183
+0.0311642
+0.0291293
+0.0271135
+0.0251261
+0.0231753
+0.0212199
+0.0192876
+0.0174164
+0.0156286
+0.0138377
+0.0120969
+0.0104192
+0.00891563
+0.00769695
+0.00694177
+0.00673576
+0.00716583
+0.00810383
+0.00942477
+0.0109769
+0.0112827
+0.0102837
+0.00965061
+0.00934599
+0.00953347
+0.0101691
+0.0103976
+0.0083322
+0.00632207
+0.00442619
+0.00264242
+0.00105138
+-0.00105458
+-0.00071409
+0.0012897
+0.00269342
+0.00443854
+0.00641585
+0.00841945
+0.0104887
+0.0125191
+0.0142656
+0.0159794
+0.0177672
+0.0196354
+0.0214795
+0.0233293
+0.0252261
+0.0271558
+0.0291224
+0.0311086
+0.0330409
+0.0348684
+0.0363377
+0.0359528
+0.0356984
+0.0355572
+0.0355447
+0.035667
+0.035912
+0.0362729
+0.036761
+0.0373713
+0.0380981
+0.0389285
+0.0431272
+0.0425866
+0.042153
+0.0418298
+0.0416196
+0.041524
+0.0415439
+0.0416791
+0.0418631
+0.0421504
+0.0425486
+0.0419972
+0.0414838
+0.0410808
+0.0407918
+0.0406189
+0.0405638
+0.040627
+0.0408078
+0.0411047
+0.0414959
+0.0419949
+0.0426009
+0.0433093
+0.0435781
+0.0427376
+0.0419946
+0.0413441
+0.0407934
+0.0403541
+0.0397732
+0.0382369
+0.036753
+0.0350078
+0.0329196
+0.0308456
+0.028789
+0.0267536
+0.0247448
+0.0227695
+0.0207927
+0.0188165
+0.0168933
+0.0149567
+0.0129974
+0.0110964
+0.00932249
+0.00768418
+0.00626375
+0.00529996
+0.00504019
+0.00557857
+0.00675543
+0.0082885
+0.0100224
+0.011884
+0.012173
+0.0115689
+0.011304
+0.0114595
+0.0119999
+0.00997461
+0.00779803
+0.00563233
+0.00349174
+0.00143423
+-0.000432931
+-0.00203871
+-0.00165111
+-0.000397939
+0.00152257
+0.00357945
+0.00572211
+0.00789119
+0.0100203
+0.0121452
+0.01429
+0.0159611
+0.0175274
+0.0191949
+0.0209588
+0.0227754
+0.0246471
+0.0265562
+0.0282939
+0.0300908
+0.0319369
+0.0338242
+0.035746
+0.0365255
+0.0362751
+0.0361362
+0.0361239
+0.0362443
+0.036496
+0.0368763
+0.0373814
+0.0380062
+0.0387313
+0.0395521
+0.0441172
+0.0435889
+0.0431654
+0.0428499
+0.0426447
+0.0425514
+0.0425709
+0.0427028
+0.0429177
+0.0432059
+0.0435945
+0.0436893
+0.043196
+0.0428092
+0.0425318
+0.0423661
+0.0423133
+0.0423738
+0.0425472
+0.0428321
+0.0432169
+0.0436962
+0.0442789
+0.0449608
+0.0450966
+0.04428
+0.0435576
+0.0429337
+0.04212
+0.040466
+0.038865
+0.0373152
+0.0357941
+0.0343339
+0.032765
+0.0306806
+0.0286121
+0.0265631
+0.0245387
+0.0225454
+0.0205547
+0.0185535
+0.0165365
+0.0144801
+0.0124524
+0.0104527
+0.00853598
+0.00670018
+0.00507764
+0.00389453
+0.00354737
+0.00423721
+0.00565462
+0.00741781
+0.00935455
+0.0113593
+0.0134221
+0.0135595
+0.0133342
+0.0134663
+0.0120992
+0.0099154
+0.00772909
+0.00554527
+0.00336713
+0.00121603
+-0.000744854
+-0.00273954
+-0.00299443
+-0.000951377
+0.00114086
+0.00320205
+0.00533709
+0.00746453
+0.00947018
+0.0114589
+0.0128654
+0.0144334
+0.0161234
+0.0179139
+0.0197604
+0.0216711
+0.0235955
+0.0253594
+0.0271737
+0.02904
+0.0309488
+0.0328928
+0.0348661
+0.0368639
+0.0369729
+0.0368366
+0.0368245
+0.0369426
+0.0371896
+0.0375629
+0.0380589
+0.0386728
+0.0393991
+0.0402295
+0.0451919
+0.0446763
+0.0442632
+0.0439555
+0.0437555
+0.0436647
+0.0436836
+0.0438122
+0.0440217
+0.0443243
+0.0447233
+0.0452051
+0.0449497
+0.0445782
+0.0443119
+0.0441528
+0.0441022
+0.0441602
+0.0443266
+0.0446001
+0.0449738
+0.0454346
+0.0459952
+0.0466521
+0.0466494
+0.0458597
+0.0448707
+0.0431079
+0.0413796
+0.0396947
+0.0380614
+0.0364819
+0.0349462
+0.0334493
+0.0320321
+0.0304824
+0.0285972
+0.0265492
+0.0245258
+0.022533
+0.0205411
+0.0184696
+0.0163572
+0.0142685
+0.0122155
+0.010162
+0.00813481
+0.00615118
+0.00433479
+0.00286855
+0.00236416
+0.0032829
+0.00498021
+0.00691749
+0.00895628
+0.0110456
+0.0131679
+0.0153095
+0.0153902
+0.0142977
+0.0121109
+0.0099254
+0.00774196
+0.00556309
+0.00339742
+0.00124969
+-0.000654891
+-0.00251685
+-0.00332647
+-0.00145247
+0.000659606
+0.00258575
+0.00462921
+0.00658382
+0.00841741
+0.00977107
+0.0113411
+0.0130639
+0.0148814
+0.0167757
+0.0187291
+0.0206639
+0.0224641
+0.0243014
+0.0261892
+0.0281209
+0.0300881
+0.032081
+0.0340961
+0.0361317
+0.037779
+0.03764
+0.0376282
+0.0377438
+0.0379856
+0.0383512
+0.0388371
+0.0394388
+0.0401513
+0.0409686
+0.0463453
+0.0458426
+0.0454402
+0.0451405
+0.0449458
+0.0448573
+0.0448757
+0.044987
+0.0451975
+0.0454997
+0.0458972
+0.0463948
+0.0467298
+0.0463725
+0.0461166
+0.0459638
+0.0459151
+0.0459709
+0.0461308
+0.0463936
+0.0467542
+0.0471976
+0.0477375
+0.0483707
+0.0479596
+0.0461068
+0.0442849
+0.0424979
+0.0407437
+0.0390314
+0.037369
+0.0357591
+0.0341929
+0.0326781
+0.031236
+0.0297072
+0.0281098
+0.0265897
+0.0246718
+0.0226926
+0.0206824
+0.0185633
+0.016463
+0.0143896
+0.0123183
+0.0102225
+0.00813891
+0.0060974
+0.00418713
+0.0025916
+0.00205858
+0.00306691
+0.00485368
+0.00681553
+0.00888488
+0.0110013
+0.0131421
+0.0152927
+0.0165687
+0.0143781
+0.0121876
+0.009997
+0.0078065
+0.00561609
+0.00342593
+0.00123711
+-0.000917001
+-0.00264375
+-0.00379309
+-0.00206712
+-0.000223303
+0.0016999
+0.00359125
+0.00537478
+0.00667976
+0.00825235
+0.0100213
+0.0118827
+0.0138328
+0.0158229
+0.017764
+0.0195856
+0.0214592
+0.0233637
+0.0253145
+0.0273017
+0.0293179
+0.0313576
+0.0334164
+0.0354309
+0.0374309
+0.0385414
+0.0385299
+0.0386427
+0.0388789
+0.0392362
+0.0397113
+0.0403
+0.0409975
+0.0417982
+0.0475716
+0.0470821
+0.0466903
+0.0463987
+0.0462093
+0.0461131
+0.0461109
+0.0462126
+0.0464177
+0.0467246
+0.0471136
+0.0475986
+0.0481783
+0.0481967
+0.0479505
+0.0478035
+0.0477567
+0.0478104
+0.0479641
+0.048217
+0.0485675
+0.0489951
+0.0495154
+0.0494071
+0.0475131
+0.0456422
+0.043801
+0.0419934
+0.0402172
+0.0384815
+0.0367943
+0.0351581
+0.0335639
+0.0320193
+0.0305537
+0.0290768
+0.0274427
+0.0258835
+0.0244196
+0.0230488
+0.020996
+0.018912
+0.0168355
+0.0147594
+0.0126663
+0.0106021
+0.00858218
+0.00661066
+0.00483179
+0.00353154
+0.00311418
+0.00389362
+0.00542984
+0.00727926
+0.00926835
+0.011332
+0.0134245
+0.0155361
+0.0166917
+0.0145191
+0.0123527
+0.010186
+0.00800163
+0.00581786
+0.00363562
+0.00145862
+-0.000706078
+-0.00261113
+-0.00317456
+-0.00217836
+-0.000661334
+0.000773338
+0.00243795
+0.00359129
+0.00517341
+0.00699449
+0.0089387
+0.0109419
+0.0130055
+0.0149438
+0.0167768
+0.0186666
+0.0205963
+0.0225737
+0.0245873
+0.0266288
+0.0286924
+0.0307735
+0.0327726
+0.0347792
+0.0368067
+0.038852
+0.0395325
+0.0396425
+0.0398727
+0.0402212
+0.0406848
+0.0412596
+0.0419411
+0.0427242
+0.0488639
+0.0483874
+0.0480063
+0.047718
+0.0475142
+0.047411
+0.0474088
+0.0475078
+0.0477073
+0.048006
+0.0483901
+0.0488624
+0.0494273
+0.0500502
+0.0498132
+0.0496718
+0.0496267
+0.0496784
+0.0498263
+0.0500698
+0.0504074
+0.0508235
+0.0509789
+0.0490528
+0.0471499
+0.045273
+0.0434224
+0.0415983
+0.0398045
+0.0380499
+0.0363427
+0.0346853
+0.0330683
+0.0314994
+0.0300084
+0.0285841
+0.0269366
+0.0253475
+0.0238507
+0.0224453
+0.0211569
+0.0194193
+0.0173764
+0.0153209
+0.0132943
+0.0113116
+0.00940225
+0.00764522
+0.00617209
+0.005168
+0.00486748
+0.00545763
+0.00664143
+0.00824801
+0.0100571
+0.0119857
+0.0139917
+0.0160461
+0.0169423
+0.0147547
+0.0125682
+0.0103834
+0.00820182
+0.00602682
+0.00386936
+0.0017481
+-0.000186629
+-0.00169692
+-0.00213866
+-0.00269857
+-0.000995816
+-0.000167793
+0.00052404
+0.00212808
+0.00405387
+0.00608935
+0.00820373
+0.0103288
+0.012247
+0.0140757
+0.0159869
+0.0179374
+0.0199378
+0.0219745
+0.0240383
+0.0261228
+0.028196
+0.0301888
+0.0322073
+0.0342469
+0.0363042
+0.0383762
+0.0404608
+0.0407356
+0.0409597
+0.041299
+0.0417506
+0.042311
+0.0429758
+0.0437404
+0.0501925
+0.0497287
+0.049358
+0.0490712
+0.0488731
+0.0487727
+0.0487706
+0.0488669
+0.0490608
+0.0493513
+0.0497304
+0.0501901
+0.0507402
+0.051378
+0.0517017
+0.0515654
+0.051522
+0.0515717
+0.0517143
+0.0519489
+0.0522744
+0.0526795
+0.0507302
+0.0487944
+0.0468809
+0.0449928
+0.0431333
+0.0413063
+0.0395091
+0.0377408
+0.0360189
+0.0343459
+0.0327122
+0.0311254
+0.0296155
+0.0281932
+0.0265688
+0.0249729
+0.0234593
+0.0220438
+0.0207305
+0.019526
+0.0180877
+0.0161112
+0.0141838
+0.0123301
+0.0106057
+0.00908447
+0.00788497
+0.00705572
+0.00683866
+0.00730408
+0.00824452
+0.00958609
+0.0111988
+0.0129805
+0.0148529
+0.0168023
+0.0169176
+0.0147547
+0.0126014
+0.0104637
+0.00834758
+0.00622866
+0.00418372
+0.00226688
+0.000680488
+-0.000531225
+-0.00105669
+-0.00166525
+-0.00219976
+-0.00106583
+-0.000764523
+0.00138345
+0.00354057
+0.00571824
+0.00790311
+0.00976609
+0.0115752
+0.0134863
+0.015443
+0.0174544
+0.0195044
+0.021582
+0.0236801
+0.0257122
+0.0277104
+0.0297356
+0.031779
+0.0338393
+0.035915
+0.0380037
+0.0401032
+0.0419148
+0.0421327
+0.0424626
+0.0429019
+0.0434474
+0.0440952
+0.044839
+0.0515777
+0.0511265
+0.0507659
+0.0504833
+0.0502908
+0.0501932
+0.0501912
+0.0502847
+0.0504731
+0.0507556
+0.0511293
+0.0515766
+0.0521122
+0.0527333
+0.0534371
+0.0534817
+0.0534399
+0.0534878
+0.0536253
+0.0538516
+0.0541656
+0.052537
+0.0505754
+0.0486334
+0.0467133
+0.0448181
+0.0429511
+0.0411159
+0.0393156
+0.0375477
+0.0358264
+0.0341441
+0.0325001
+0.0309025
+0.0293812
+0.0279468
+0.0263778
+0.0247695
+0.0232427
+0.0218216
+0.0205186
+0.0193182
+0.0181883
+0.0171349
+0.0153251
+0.0136275
+0.0120895
+0.0107798
+0.00975039
+0.00908053
+0.00891292
+0.00927483
+0.0100714
+0.0111962
+0.0126045
+0.0142124
+0.0159596
+0.0177977
+0.0170781
+0.0149621
+0.0128603
+0.0107678
+0.00870999
+0.00673622
+0.00487831
+0.00324722
+0.00191868
+0.000644174
+0.000111916
+-0.000667788
+-0.00101078
+-0.00106581
+-0.000611052
+0.00145995
+0.00359782
+0.00576913
+0.00766866
+0.00937773
+0.0111803
+0.0130837
+0.0150653
+0.017098
+0.0191656
+0.0212578
+0.0233391
+0.0253351
+0.0273609
+0.0294093
+0.0314723
+0.0335514
+0.035644
+0.0377476
+0.0398606
+0.0419816
+0.0433708
+0.0436914
+0.0441185
+0.0446492
+0.0452797
+0.0459948
+0.0530172
+0.0525784
+0.0522277
+0.0519494
+0.0517623
+0.0516675
+0.0516655
+0.0517564
+0.0519395
+0.052214
+0.0525785
+0.0530175
+0.0535386
+0.0541434
+0.0548291
+0.0554184
+0.055378
+0.0554243
+0.0555569
+0.0557754
+0.0544601
+0.052479
+0.0505151
+0.0485707
+0.0466481
+0.0447501
+0.0428801
+0.0410418
+0.0392381
+0.0374665
+0.0357414
+0.0340699
+0.032435
+0.030834
+0.0293091
+0.027871
+0.026368
+0.0247591
+0.0232316
+0.0218097
+0.020506
+0.0193368
+0.0182253
+0.0172943
+0.0165599
+0.0151322
+0.0137634
+0.0126274
+0.0117193
+0.0111681
+0.0110323
+0.0113267
+0.0120198
+0.0129775
+0.0142104
+0.0156541
+0.0172559
+0.0189758
+0.0174396
+0.0153734
+0.013347
+0.0113804
+0.00946298
+0.00766522
+0.00589342
+0.00437554
+0.0031454
+0.00224134
+0.00154149
+0.000892892
+0.000737594
+0.000974708
+0.000818985
+0.00210995
+0.00397547
+0.00600867
+0.00740318
+0.0090733
+0.0109045
+0.0128488
+0.0148618
+0.016919
+0.019006
+0.0211039
+0.0231282
+0.0251409
+0.0271811
+0.0292422
+0.0313162
+0.033405
+0.0355062
+0.0376175
+0.0397375
+0.0418647
+0.0439982
+0.0449835
+0.0453985
+0.0459144
+0.0465278
+0.0472239
+0.0545068
+0.0540801
+0.0537356
+0.053465
+0.0532833
+0.0531912
+0.0531893
+0.0532776
+0.0534555
+0.0537222
+0.0540765
+0.0545084
+0.0550154
+0.0556041
+0.056272
+0.0570163
+0.0573343
+0.057379
+0.0575072
+0.0564878
+0.0544923
+0.0525124
+0.0505498
+0.0486068
+0.0466857
+0.0447893
+0.042921
+0.0410845
+0.0392827
+0.0375133
+0.0357904
+0.0341213
+0.0325036
+0.0309209
+0.0294004
+0.0279663
+0.0265087
+0.0249418
+0.0234262
+0.0220169
+0.0207262
+0.0195702
+0.018492
+0.017575
+0.0168319
+0.0162608
+0.0155643
+0.0145404
+0.0137554
+0.013289
+0.013175
+0.0134225
+0.0140123
+0.0148685
+0.015956
+0.0172543
+0.0187197
+0.0200901
+0.0180615
+0.0160754
+0.0141355
+0.0121773
+0.0103131
+0.00858003
+0.00696393
+0.00560565
+0.00454023
+0.00378544
+0.00313045
+0.00262095
+0.00248787
+0.00290934
+0.00283705
+0.00367244
+0.00509485
+0.00624152
+0.00760503
+0.00924274
+0.0110598
+0.0129846
+0.0149641
+0.016991
+0.0190542
+0.0211227
+0.0231238
+0.0251369
+0.0271774
+0.0292387
+0.0313129
+0.033402
+0.0355033
+0.0376148
+0.0397349
+0.0418623
+0.0439959
+0.0461348
+0.0467462
+0.0472473
+0.0478436
+0.0485209
+0.0560425
+0.0556275
+0.0552891
+0.0550262
+0.0548496
+0.0547602
+0.0547583
+0.054844
+0.0550169
+0.0552761
+0.0556205
+0.0560452
+0.0565384
+0.0571114
+0.0577619
+0.0584873
+0.0592848
+0.0593502
+0.0586092
+0.0566037
+0.0546125
+0.052637
+0.0506793
+0.0487414
+0.0468258
+0.0449354
+0.0430734
+0.0412437
+0.0394492
+0.0376875
+0.0359731
+0.0343128
+0.0327046
+0.0311342
+0.0296243
+0.0282004
+0.0268241
+0.0252864
+0.0238142
+0.0224293
+0.021172
+0.0200417
+0.0189908
+0.0180991
+0.0173659
+0.0167952
+0.0163866
+0.0162381
+0.0158328
+0.0154293
+0.0153313
+0.0155445
+0.0160565
+0.0168324
+0.0178002
+0.0189728
+0.0203146
+0.0207227
+0.0187341
+0.0167949
+0.0149031
+0.0130887
+0.0113749
+0.00973682
+0.00826833
+0.00707852
+0.00622396
+0.00541497
+0.00501663
+0.00467023
+0.00445379
+0.0046227
+0.00495757
+0.00544595
+0.00617045
+0.00708657
+0.00831199
+0.00983265
+0.0115573
+0.0134155
+0.0153355
+0.017319
+0.0193472
+0.0213439
+0.0233261
+0.025323
+0.0273497
+0.029399
+0.0314626
+0.0335423
+0.0356354
+0.0377395
+0.039853
+0.0419744
+0.0441025
+0.0462365
+0.0481558
+0.0486424
+0.0492218
+0.0498804
+0.0576205
+0.057217
+0.0568846
+0.0566291
+0.0564575
+0.0563707
+0.0563688
+0.0564521
+0.0566201
+0.056872
+0.0572067
+0.0576229
+0.0581041
+0.0586619
+0.0592954
+0.0600022
+0.0607798
+0.0608145
+0.0588026
+0.0568039
+0.0548199
+0.0528523
+0.0509028
+0.0489738
+0.0470676
+0.0451873
+0.0433361
+0.0415179
+0.0397333
+0.0379876
+0.0362873
+0.0346421
+0.0330499
+0.0314969
+0.0300053
+0.0286001
+0.0272585
+0.0257882
+0.0243626
+0.0230107
+0.0217956
+0.0207118
+0.0197054
+0.0188463
+0.0181106
+0.0175607
+0.0171702
+0.0170322
+0.0171135
+0.0173328
+0.0174077
+0.0175958
+0.0179673
+0.018471
+0.0192127
+0.0200003
+0.0209127
+0.0214736
+0.0195405
+0.0176389
+0.0158122
+0.0140897
+0.0125125
+0.0109804
+0.00965698
+0.00866717
+0.00795612
+0.00728746
+0.00699851
+0.0068055
+0.0065227
+0.00656013
+0.00678081
+0.00709073
+0.00766483
+0.00837126
+0.0094476
+0.0108189
+0.0124265
+0.0141713
+0.0160009
+0.0179109
+0.0198788
+0.0217843
+0.0237297
+0.0256953
+0.0276948
+0.0297202
+0.031763
+0.0338243
+0.0359009
+0.0379903
+0.0400906
+0.0422
+0.0443173
+0.0464415
+0.0485715
+0.0500945
+0.0506573
+0.0512975
+0.0592376
+0.0588452
+0.0585186
+0.0582703
+0.0581036
+0.0580191
+0.0580174
+0.0580983
+0.0582615
+0.0585063
+0.0588318
+0.0592365
+0.0597092
+0.0602521
+0.060869
+0.0615578
+0.062316
+0.0610795
+0.0590766
+0.0570876
+0.0551138
+0.053157
+0.051217
+0.0492969
+0.0474003
+0.0455301
+0.0436897
+0.041883
+0.0401146
+0.0383898
+0.0367147
+0.035094
+0.0335335
+0.0320057
+0.0305389
+0.0291594
+0.0278447
+0.0264417
+0.0250847
+0.0237805
+0.0226068
+0.021561
+0.0205961
+0.0197788
+0.0190483
+0.018518
+0.0181575
+0.0180477
+0.0180854
+0.0182999
+0.0184132
+0.0185877
+0.0188448
+0.0193256
+0.0200352
+0.0207476
+0.0216285
+0.0223093
+0.02043
+0.0186189
+0.0168945
+0.0152852
+0.0138137
+0.0124531
+0.0112879
+0.0104426
+0.00983086
+0.00927276
+0.00901564
+0.0089303
+0.00859736
+0.00857785
+0.00867274
+0.00888707
+0.00935095
+0.00993326
+0.010863
+0.0120972
+0.0135548
+0.0151895
+0.0169257
+0.0187416
+0.0205888
+0.022431
+0.0243123
+0.0262343
+0.0281955
+0.0301884
+0.0322069
+0.0342443
+0.0362969
+0.0383648
+0.0404456
+0.0425374
+0.0446387
+0.0467483
+0.048865
+0.0509879
+0.0521454
+0.0527675
+0.0608905
+0.0605077
+0.0601879
+0.0599466
+0.0597845
+0.0597025
+0.0597008
+0.0597794
+0.059938
+0.0601761
+0.0604925
+0.0608862
+0.0613505
+0.061879
+0.0624799
+0.0631511
+0.0634024
+0.0613987
+0.0594082
+0.0574324
+0.0554726
+0.0535308
+0.0516065
+0.0497014
+0.0478209
+0.0459678
+0.0441456
+0.0423584
+0.0406107
+0.0389079
+0.0372561
+0.03566
+0.0341254
+0.0326539
+0.0312176
+0.0298611
+0.028558
+0.0272561
+0.0259418
+0.024707
+0.0235795
+0.0225913
+0.0216688
+0.0208716
+0.0201638
+0.019664
+0.0193435
+0.0192227
+0.0192572
+0.0194588
+0.0195792
+0.019658
+0.0199138
+0.0203686
+0.020979
+0.0216643
+0.0225212
+0.0232781
+0.0214837
+0.0197628
+0.0181434
+0.0166552
+0.0152924
+0.014101
+0.0130699
+0.0123338
+0.0117868
+0.0113156
+0.0110919
+0.011044
+0.0107079
+0.0106393
+0.0106482
+0.0108057
+0.0112085
+0.0116952
+0.0124978
+0.0135843
+0.0148971
+0.0163985
+0.0180416
+0.0197567
+0.0214601
+0.0232436
+0.0250563
+0.0269252
+0.0288395
+0.0307907
+0.0327721
+0.0347787
+0.0368063
+0.0388515
+0.0409119
+0.042984
+0.0450645
+0.047155
+0.0492542
+0.051361
+0.0534731
+0.0542861
+0.0625764
+0.0622009
+0.0618899
+0.0616551
+0.0614976
+0.0614178
+0.0614162
+0.0614926
+0.0616468
+0.0618783
+0.0621861
+0.0625691
+0.0630252
+0.0635398
+0.0641251
+0.0647793
+0.0637781
+0.0617866
+0.0598091
+0.0578469
+0.0559017
+0.0539753
+0.0520698
+0.0501876
+0.0483314
+0.0465044
+0.0447044
+0.0429404
+0.0412174
+0.0395362
+0.0379055
+0.0363336
+0.0348287
+0.0333998
+0.0320257
+0.0306805
+0.0294137
+0.0282175
+0.0269501
+0.0257841
+0.0246967
+0.023748
+0.0228717
+0.0220888
+0.0214212
+0.0209479
+0.0206666
+0.0205646
+0.020596
+0.0207847
+0.0208583
+0.0208826
+0.0211236
+0.0215529
+0.0220886
+0.022749
+0.0235665
+0.0244027
+0.0226916
+0.0210695
+0.0195525
+0.0181508
+0.0169018
+0.015852
+0.0149327
+0.0142929
+0.0138133
+0.0134006
+0.0131962
+0.0131468
+0.0128453
+0.0127384
+0.0126942
+0.0128093
+0.0131436
+0.0135353
+0.0142566
+0.0152421
+0.0164229
+0.0177961
+0.0193206
+0.020894
+0.0225116
+0.0242143
+0.0259634
+0.0277723
+0.0296319
+0.0315341
+0.0334715
+0.0354385
+0.0374303
+0.0394433
+0.0414742
+0.0435207
+0.0455805
+0.0476521
+0.0497338
+0.051824
+0.053918
+0.0558494
+0.0642928
+0.0639243
+0.0636217
+0.0633934
+0.0632402
+0.0631626
+0.063161
+0.0632353
+0.0633853
+0.0636104
+0.0639099
+0.0642827
+0.0647275
+0.0652319
+0.0658022
+0.066217
+0.0642264
+0.0622493
+0.0602869
+0.0583408
+0.0564127
+0.0545043
+0.052618
+0.0507561
+0.0489215
+0.0471173
+0.0453472
+0.0436152
+0.0419167
+0.0402631
+0.0386631
+0.0371233
+0.0356518
+0.0342572
+0.0329348
+0.0316306
+0.0304034
+0.0292889
+0.0280908
+0.0269765
+0.02594
+0.0250384
+0.0242118
+0.023431
+0.0228027
+0.0223587
+0.0220953
+0.0220259
+0.0220464
+0.0222227
+0.0222331
+0.0222559
+0.0224822
+0.022886
+0.0233454
+0.0239819
+0.024762
+0.0256602
+0.0240325
+0.0224874
+0.021057
+0.0197664
+0.018628
+0.0176868
+0.0168745
+0.016311
+0.0158835
+0.0155148
+0.0153241
+0.0152571
+0.0149915
+0.0148639
+0.0147619
+0.0148658
+0.0151254
+0.015467
+0.016102
+0.0169977
+0.018085
+0.0193406
+0.020752
+0.0221899
+0.0237192
+0.0253349
+0.0270116
+0.0287575
+0.0305607
+0.0324087
+0.0342968
+0.036219
+0.0381701
+0.040146
+0.0421431
+0.0441585
+0.0461899
+0.0482353
+0.0502929
+0.0523613
+0.0544393
+0.0565258
+0.0660373
+0.0656755
+0.065381
+0.0651589
+0.0650098
+0.0649344
+0.0649328
+0.0650051
+0.065151
+0.0653701
+0.0656615
+0.0660244
+0.0664576
+0.0669529
+0.0675087
+0.0667209
+0.0647458
+0.062785
+0.0608399
+0.0589121
+0.0570033
+0.0551154
+0.0532507
+0.0514118
+0.0496014
+0.0478229
+0.0460798
+0.0443765
+0.0427084
+0.0410868
+0.03952
+0.038015
+0.0365794
+0.0352215
+0.0339508
+0.0326893
+0.0315033
+0.0304291
+0.0293226
+0.0282568
+0.0273027
+0.0264476
+0.0256545
+0.02489
+0.0242995
+0.0238874
+0.0236411
+0.0235762
+0.0236022
+0.023767
+0.0237309
+0.0237522
+0.0239644
+0.0243067
+0.0247253
+0.0253271
+0.026087
+0.026955
+0.0254609
+0.0240079
+0.0226736
+0.0214804
+0.0204373
+0.0195832
+0.0188709
+0.0183688
+0.0179823
+0.0176476
+0.017467
+0.0173843
+0.0171176
+0.0169965
+0.0168374
+0.0169133
+0.0171581
+0.0174599
+0.0180249
+0.0188293
+0.0198429
+0.0209955
+0.0222815
+0.0236025
+0.0250457
+0.0265884
+0.0281914
+0.0298684
+0.0316083
+0.0334013
+0.0352391
+0.0371125
+0.039019
+0.0409539
+0.0429134
+0.0448943
+0.0468939
+0.0489098
+0.0509402
+0.0529833
+0.0550378
+0.0571024
+0.0678077
+0.0674525
+0.0671658
+0.0669495
+0.0668045
+0.0667311
+0.0667295
+0.0667999
+0.0669419
+0.0671551
+0.0674388
+0.0677922
+0.0682141
+0.0687007
+0.0692424
+0.0672923
+0.0653345
+0.063392
+0.0614661
+0.0595585
+0.0576711
+0.0558058
+0.053965
+0.0521512
+0.0503675
+0.048617
+0.0469035
+0.0452312
+0.0435958
+0.0420084
+0.0404774
+0.0390093
+0.0376116
+0.0362924
+0.0350529
+0.0338404
+0.0326962
+0.0316625
+0.0306612
+0.0296438
+0.0287437
+0.0279532
+0.0271557
+0.0264346
+0.0258794
+0.0254983
+0.0252678
+0.0252195
+0.0252513
+0.0254055
+0.0253178
+0.0253379
+0.0255464
+0.0258215
+0.0262159
+0.0267842
+0.0275157
+0.0283352
+0.0269917
+0.0256256
+0.0243801
+0.0232668
+0.0223062
+0.0215264
+0.0209063
+0.0204541
+0.0201007
+0.0197791
+0.0196052
+0.0195207
+0.0192582
+0.0190704
+0.0189281
+0.0189919
+0.0192144
+0.0194954
+0.0200029
+0.0207307
+0.0216566
+0.0227412
+0.0238817
+0.0251187
+0.0264794
+0.0279458
+0.0294869
+0.0310941
+0.0327691
+0.0345018
+0.0362841
+0.0381072
+0.0399662
+0.0418574
+0.0437765
+0.04572
+0.0476849
+0.0496688
+0.0516693
+0.0536847
+0.0557134
+0.0577538
+0.0696002
+0.0692531
+0.0689739
+0.0687633
+0.0686221
+0.0685507
+0.0685492
+0.0686177
+0.0687559
+0.0689635
+0.0692398
+0.0695841
+0.0699952
+0.070472
+0.0698834
+0.0679297
+0.0659908
+0.0640681
+0.0621632
+0.0602777
+0.0584135
+0.0565727
+0.0547577
+0.0529711
+0.0512158
+0.0494953
+0.0478133
+0.046174
+0.0445733
+0.0430219
+0.0415283
+0.0400987
+0.0387403
+0.0374609
+0.0362358
+0.0350859
+0.0339886
+0.0329954
+0.0320823
+0.0311234
+0.0302673
+0.029502
+0.0287456
+0.0280653
+0.027543
+0.0271788
+0.0269625
+0.0269178
+0.0269726
+0.027117
+0.0269662
+0.0269849
+0.0271809
+0.0274276
+0.0277993
+0.0283359
+0.0290283
+0.0298091
+0.0286085
+0.0273233
+0.026156
+0.0251149
+0.0242276
+0.0235116
+0.0229653
+0.0225595
+0.0222304
+0.0218918
+0.0217282
+0.0216676
+0.0214089
+0.0211648
+0.021036
+0.0210932
+0.0212677
+0.0215613
+0.0220212
+0.0226844
+0.0235335
+0.0245493
+0.0255696
+0.0267286
+0.0280112
+0.0294013
+0.0308826
+0.0324217
+0.0340314
+0.0357029
+0.037428
+0.039198
+0.0410076
+0.0428528
+0.0447292
+0.046633
+0.0485611
+0.0505105
+0.052479
+0.0544644
+0.0564651
+0.0584793
+0.0714139
+0.0710757
+0.0708036
+0.0705986
+0.070461
+0.0703914
+0.07039
+0.0704567
+0.0705913
+0.0707935
+0.0710627
+0.0713982
+0.0717989
+0.0722639
+0.0705654
+0.068631
+0.0667125
+0.0648113
+0.0629289
+0.061067
+0.0592277
+0.057413
+0.0556254
+0.0538675
+0.0521425
+0.0504536
+0.0488046
+0.0471998
+0.045635
+0.044121
+0.0426659
+0.0412757
+0.0399574
+0.0387113
+0.0375094
+0.0363997
+0.0353695
+0.0344162
+0.0335418
+0.0326829
+0.0318687
+0.0311248
+0.0304102
+0.0297681
+0.0292761
+0.0289275
+0.0287244
+0.0286826
+0.0287578
+0.0288364
+0.0286872
+0.0287048
+0.0288805
+0.0290939
+0.0294445
+0.0299517
+0.0306076
+0.031367
+0.0302974
+0.0290786
+0.0279748
+0.0270039
+0.0261807
+0.0255196
+0.0249998
+0.0246506
+0.0243536
+0.0240185
+0.0238636
+0.0238225
+0.0235546
+0.0232769
+0.0231593
+0.0232111
+0.023346
+0.0236475
+0.0240697
+0.0246779
+0.0254606
+0.0263645
+0.0273257
+0.0284131
+0.0296229
+0.0309407
+0.0323532
+0.0338392
+0.0353844
+0.0369948
+0.0386624
+0.0403782
+0.0421372
+0.043935
+0.0457671
+0.0476294
+0.0495187
+0.0514318
+0.0533663
+0.0553199
+0.0572907
+0.0592769
+0.0732482
+0.0729185
+0.0726534
+0.0724535
+0.0723195
+0.0722517
+0.0722503
+0.0723153
+0.0724465
+0.0726435
+0.0729059
+0.0732329
+0.0736236
+0.0732373
+0.0713081
+0.0693945
+0.0674977
+0.0656192
+0.0637606
+0.0619238
+0.0601107
+0.0583235
+0.0565647
+0.0548369
+0.0531434
+0.0514873
+0.0498726
+0.0483014
+0.0467712
+0.0452952
+0.043879
+0.0425285
+0.0412502
+0.0400261
+0.0388648
+0.037795
+0.0368164
+0.035911
+0.0350775
+0.0342974
+0.033522
+0.0328133
+0.0321259
+0.0315311
+0.0310671
+0.0307329
+0.0305419
+0.0305026
+0.0305872
+0.0306089
+0.0304685
+0.0304852
+0.03061
+0.0308181
+0.0311528
+0.0316326
+0.0322544
+0.0329968
+0.0320341
+0.0308806
+0.0298435
+0.0289354
+0.0281688
+0.0275428
+0.0270587
+0.0267374
+0.0264638
+0.0261558
+0.0260081
+0.0259834
+0.0256623
+0.0254023
+0.0252939
+0.0253222
+0.0254408
+0.0257164
+0.0261413
+0.0267023
+0.0274273
+0.0282268
+0.0291299
+0.0301524
+0.031295
+0.0325451
+0.0338909
+0.0353213
+0.0368181
+0.0383685
+0.0399787
+0.0416404
+0.0433482
+0.0450977
+0.0468844
+0.048704
+0.0505531
+0.0524285
+0.0543276
+0.0562478
+0.0581871
+0.0601437
+0.0751016
+0.0747801
+0.0745215
+0.0743267
+0.0741961
+0.07413
+0.0741286
+0.074192
+0.0743198
+0.0745119
+0.0747678
+0.0750867
+0.0754678
+0.0740181
+0.0721098
+0.070218
+0.0683441
+0.0664895
+0.064656
+0.0628453
+0.0610595
+0.0593009
+0.057572
+0.0558754
+0.0542143
+0.052592
+0.0510068
+0.0494632
+0.04797
+0.0465321
+0.0451547
+0.0438435
+0.0426047
+0.0414142
+0.040293
+0.0392621
+0.0383219
+0.0374695
+0.0366768
+0.0359672
+0.0352286
+0.0345492
+0.0338955
+0.0333416
+0.0329064
+0.0325856
+0.0324055
+0.0323685
+0.0324545
+0.0324323
+0.0323003
+0.0323159
+0.0323954
+0.0325921
+0.0329183
+0.0333727
+0.0339626
+0.0346699
+0.0338206
+0.0327301
+0.0317535
+0.0309016
+0.0301831
+0.029587
+0.0291368
+0.0288387
+0.0285861
+0.0283012
+0.0281597
+0.0281224
+0.027783
+0.0275379
+0.0274374
+0.0274405
+0.0275418
+0.0277963
+0.0282067
+0.0287274
+0.0294025
+0.0301333
+0.030984
+0.0319472
+0.0330278
+0.0342146
+0.0354972
+0.0368653
+0.03831
+0.0398153
+0.0413693
+0.0429772
+0.0446339
+0.0463349
+0.0480756
+0.0498518
+0.0516598
+0.0534964
+0.0553588
+0.0572445
+0.0591512
+0.0610769
+0.0769728
+0.0766591
+0.0764069
+0.0762169
+0.0760895
+0.0760251
+0.0760237
+0.0760855
+0.0762102
+0.0763975
+0.0766471
+0.0769582
+0.0767319
+0.0748549
+0.0729685
+0.0710995
+0.0692495
+0.0674198
+0.0656123
+0.0638287
+0.0620713
+0.0603422
+0.0586439
+0.0569793
+0.0553512
+0.0537546
+0.0522003
+0.0506931
+0.0492372
+0.0478374
+0.0464987
+0.0452265
+0.0440222
+0.0428573
+0.0417748
+0.0407814
+0.0398733
+0.0390538
+0.0383184
+0.0376577
+0.0369862
+0.0363329
+0.0357119
+0.0351865
+0.0347853
+0.034478
+0.0343078
+0.0342723
+0.0343539
+0.0342987
+0.0341743
+0.0341813
+0.0342278
+0.0344141
+0.0347323
+0.0351633
+0.0357236
+0.0363967
+0.0356522
+0.0346195
+0.0336977
+0.0328957
+0.03221
+0.0316507
+0.0312303
+0.0309461
+0.030718
+0.030453
+0.0303095
+0.0302292
+0.0299137
+0.0296816
+0.0295877
+0.0295693
+0.0296555
+0.0298919
+0.0302854
+0.0307736
+0.0313937
+0.0320762
+0.0328796
+0.0337887
+0.0348122
+0.0359402
+0.0371632
+0.0384722
+0.0398587
+0.0413148
+0.0428268
+0.0443819
+0.045988
+0.0476407
+0.0493354
+0.0510678
+0.0528342
+0.0546314
+0.0564563
+0.0583065
+0.0601795
+0.0620734
+0.0788604
+0.0785542
+0.0783081
+0.0781227
+0.0779985
+0.0779356
+0.0779343
+0.0779945
+0.0781162
+0.078299
+0.0785425
+0.0788461
+0.0775763
+0.0757245
+0.0738821
+0.0720369
+0.0702115
+0.0684076
+0.0666269
+0.0648713
+0.0631428
+0.0614439
+0.0597769
+0.058142
+0.0565386
+0.0549758
+0.053457
+0.0519863
+0.0505676
+0.0492057
+0.0479052
+0.0466687
+0.0454878
+0.0443614
+0.0433165
+0.042359
+0.0414768
+0.0406896
+0.0400071
+0.0393883
+0.038788
+0.038159
+0.0375682
+0.0370692
+0.0366897
+0.0364038
+0.0362427
+0.0362025
+0.0362798
+0.0362013
+0.036084
+0.0360561
+0.0361003
+0.0362769
+0.0365841
+0.0369969
+0.0375299
+0.0381712
+0.0375222
+0.0365424
+0.0356703
+0.0349037
+0.0342565
+0.0337305
+0.0333363
+0.0330636
+0.0328577
+0.0326084
+0.0324539
+0.0323472
+0.0320525
+0.0318316
+0.0317436
+0.0317057
+0.0317795
+0.0320003
+0.0323682
+0.0328385
+0.033407
+0.0340491
+0.0348098
+0.0356698
+0.0366407
+0.0377141
+0.0388813
+0.0401343
+0.0414652
+0.0428669
+0.0443325
+0.0458483
+0.0474048
+0.0490097
+0.0506586
+0.0523472
+0.0540719
+0.0558292
+0.0576163
+0.0594303
+0.061269
+0.0631302
+0.0807633
+0.0804643
+0.0802241
+0.0800432
+0.0799219
+0.0798605
+0.0798593
+0.0799181
+0.0800368
+0.0802152
+0.0804529
+0.0803184
+0.0784701
+0.0766398
+0.074829
+0.073028
+0.071228
+0.0694505
+0.0676972
+0.0659701
+0.0642712
+0.0626029
+0.0609619
+0.0593538
+0.057784
+0.0562558
+0.0547725
+0.053338
+0.0519563
+0.0506317
+0.0493672
+0.0481652
+0.0470098
+0.0459207
+0.0449121
+0.0439812
+0.043132
+0.0423756
+0.0417206
+0.0411599
+0.0406279
+0.0400217
+0.0394588
+0.038984
+0.0386234
+0.0383581
+0.0382052
+0.0381608
+0.0382334
+0.0381347
+0.038024
+0.0379648
+0.0380067
+0.0381745
+0.0384665
+0.0388675
+0.0393752
+0.039987
+0.0394216
+0.0384902
+0.0376598
+0.036931
+0.0363199
+0.0358234
+0.0354525
+0.03519
+0.0350036
+0.034753
+0.0346041
+0.0344742
+0.0341979
+0.0339869
+0.0338975
+0.0338457
+0.0339121
+0.0341191
+0.0344643
+0.0349187
+0.0354413
+0.0360472
+0.0367692
+0.0375844
+0.0385071
+0.0395298
+0.0406449
+0.0418451
+0.0431233
+0.0444727
+0.045887
+0.0473605
+0.0488787
+0.0504368
+0.0520404
+0.0536856
+0.0553686
+0.057086
+0.0588349
+0.0606125
+0.0624164
+0.0642443
+0.0826804
+0.0823884
+0.0821539
+0.0819772
+0.0818588
+0.0817989
+0.0817976
+0.081855
+0.0819709
+0.0821451
+0.0823773
+0.0812411
+0.0794142
+0.0776063
+0.0758185
+0.0740523
+0.0722966
+0.070546
+0.0688206
+0.0671224
+0.0654528
+0.0638075
+0.0621959
+0.0606205
+0.0590844
+0.0575907
+0.0561427
+0.0547442
+0.0533988
+0.0521102
+0.0508786
+0.0497008
+0.048583
+0.0475299
+0.046554
+0.0456509
+0.0448332
+0.044106
+0.0434771
+0.0429508
+0.0424815
+0.0419162
+0.041379
+0.0409265
+0.0405831
+0.0403367
+0.0401913
+0.0401432
+0.0401991
+0.0400858
+0.0399827
+0.0399024
+0.0399423
+0.040102
+0.0403801
+0.04077
+0.0412543
+0.0418381
+0.0413484
+0.0404613
+0.0396672
+0.038976
+0.0383975
+0.0379275
+0.0375736
+0.0373239
+0.0371548
+0.0368992
+0.036759
+0.0366088
+0.0363486
+0.0361464
+0.0360444
+0.0359894
+0.0360516
+0.0362464
+0.0365715
+0.0370116
+0.0374932
+0.0380665
+0.0387534
+0.0395277
+0.040406
+0.0413818
+0.0424483
+0.0435989
+0.0448271
+0.0461267
+0.0474918
+0.048917
+0.0503971
+0.051917
+0.0534763
+0.0550786
+0.0567203
+0.058398
+0.0601087
+0.0618497
+0.0636185
+0.0654129
+0.0846108
+0.0843256
+0.0840964
+0.0839238
+0.0838081
+0.0837496
+0.0837484
+0.0838045
+0.0839177
+0.0840879
+0.0840349
+0.0822118
+0.080407
+0.0786218
+0.0768577
+0.075116
+0.0733983
+0.0716858
+0.0699814
+0.0683048
+0.066658
+0.0650434
+0.0634632
+0.0619203
+0.0604174
+0.0589576
+0.0575442
+0.0561807
+0.0548707
+0.0536139
+0.0524052
+0.0512616
+0.0501877
+0.0491781
+0.0482341
+0.0473631
+0.0465753
+0.0458757
+0.0452714
+0.0447663
+0.0443432
+0.0438382
+0.0433249
+0.0428929
+0.0425654
+0.0423362
+0.0421932
+0.0421462
+0.0421868
+0.0420567
+0.0419416
+0.0418651
+0.0419031
+0.0420553
+0.0423206
+0.0426968
+0.0431628
+0.043715
+0.0433003
+0.0424531
+0.041693
+0.041036
+0.0404869
+0.0400408
+0.0397002
+0.039464
+0.0393047
+0.0390504
+0.038918
+0.0387496
+0.0384954
+0.0383007
+0.0381962
+0.0381382
+0.0381969
+0.0383808
+0.038688
+0.0391153
+0.0395601
+0.0401038
+0.0407582
+0.0414956
+0.0423331
+0.0432655
+0.0442867
+0.0453907
+0.0465716
+0.0478238
+0.0491418
+0.0505205
+0.0519549
+0.0534407
+0.054962
+0.0565222
+0.0581231
+0.0597615
+0.0614342
+0.0631387
+0.0648724
+0.066633
+0.0865536
+0.0862748
+0.0860508
+0.0858821
+0.0857691
+0.085712
+0.0857108
+0.0857655
+0.0858762
+0.0860425
+0.0850301
+0.0832288
+0.0814466
+0.0796847
+0.0779446
+0.0762278
+0.0745357
+0.0728537
+0.0711773
+0.0695295
+0.0679125
+0.0663283
+0.0647795
+0.0632687
+0.0617986
+0.0603722
+0.0589927
+0.0576635
+0.0563859
+0.055151
+0.0539767
+0.0528671
+0.0518265
+0.0508589
+0.0499527
+0.0491133
+0.0483539
+0.0476804
+0.0470993
+0.0466095
+0.0462029
+0.0457844
+0.0452931
+0.0448801
+0.0445672
+0.0443537
+0.0442118
+0.044167
+0.0441938
+0.0440483
+0.0439223
+0.0438493
+0.0438856
+0.044031
+0.0442844
+0.044644
+0.045096
+0.0456192
+0.045274
+0.04446
+0.0437348
+0.0431089
+0.0425865
+0.042162
+0.0418335
+0.0416094
+0.0414469
+0.0412058
+0.0410654
+0.0408957
+0.0406398
+0.0404552
+0.0403519
+0.0402915
+0.0403471
+0.0405212
+0.0408124
+0.041218
+0.0416395
+0.0421565
+0.0427795
+0.0434848
+0.0442848
+0.0451769
+0.0461558
+0.0472161
+0.0483525
+0.0495597
+0.0508327
+0.0521667
+0.0535571
+0.0549996
+0.0564902
+0.0580127
+0.0595735
+0.061173
+0.0628082
+0.0644764
+0.066175
+0.0679018
+0.0885081
+0.0882354
+0.0880164
+0.0878515
+0.087741
+0.0876851
+0.087684
+0.0877375
+0.0878457
+0.0878673
+0.0860697
+0.0842906
+0.0825313
+0.0807931
+0.0790773
+0.0773856
+0.0757195
+0.074068
+0.0724197
+0.0708009
+0.0692135
+0.0676599
+0.0661423
+0.0646633
+0.0632256
+0.0618322
+0.060486
+0.0591902
+0.0579323
+0.056731
+0.0555901
+0.0545134
+0.0535048
+0.0525681
+0.0517036
+0.0508976
+0.0501651
+0.0495163
+0.0489569
+0.0484785
+0.0480878
+0.0477485
+0.0472757
+0.0468846
+0.046586
+0.046387
+0.046243
+0.0462002
+0.0462174
+0.0460581
+0.045917
+0.0458471
+0.0458819
+0.046021
+0.0462635
+0.0466079
+0.0470463
+0.0475481
+0.0472669
+0.0464834
+0.0457903
+0.0451929
+0.0446949
+0.04429
+0.0439724
+0.0437592
+0.0435938
+0.0433647
+0.043197
+0.0430463
+0.0427889
+0.042613
+0.0425086
+0.0424487
+0.0425014
+0.0426668
+0.0429434
+0.0433291
+0.0437299
+0.0442224
+0.0448167
+0.0454926
+0.0462578
+0.0471126
+0.0480521
+0.0490714
+0.0501658
+0.0513304
+0.0525605
+0.0538517
+0.0551997
+0.0566003
+0.0580499
+0.0595448
+0.0610679
+0.0626293
+0.0642274
+0.0658596
+0.0675235
+0.0692166
+0.0904733
+0.0902065
+0.0899923
+0.0898311
+0.089723
+0.0896684
+0.0896672
+0.0897196
+0.0898254
+0.0889277
+0.0871518
+0.0853953
+0.0836592
+0.081945
+0.0802539
+0.0785875
+0.0769474
+0.0753265
+0.0737064
+0.0721164
+0.0705586
+0.0690352
+0.0675485
+0.066101
+0.0646953
+0.0633342
+0.0620206
+0.0607443
+0.0595192
+0.0583505
+0.0572419
+0.0561969
+0.055219
+0.0543119
+0.0534766
+0.0527066
+0.0520026
+0.051377
+0.0508382
+0.0503735
+0.0499976
+0.0497154
+0.0492635
+0.0488917
+0.0486129
+0.0484272
+0.048287
+0.048246
+0.048253
+0.0480756
+0.047925
+0.0478581
+0.0478914
+0.0480246
+0.0482571
+0.0485873
+0.0490133
+0.0494988
+0.0492736
+0.0485214
+0.0478578
+0.0472865
+0.0468103
+0.0464125
+0.0461066
+0.0459034
+0.0457449
+0.0455266
+0.0453342
+0.0451906
+0.044942
+0.0447736
+0.0446664
+0.0446091
+0.0446593
+0.0448167
+0.0450801
+0.0454477
+0.0458296
+0.0462998
+0.0468678
+0.0475165
+0.0482497
+0.0490697
+0.0499724
+0.0509534
+0.0520082
+0.0531324
+0.0543218
+0.055572
+0.0568792
+0.0582395
+0.0596493
+0.061105
+0.0626014
+0.0641254
+0.0656871
+0.067284
+0.0689134
+0.0705733
+0.0889273
+0.0869855
+0.0850534
+0.0831333
+0.0812231
+0.079327
+0.0774465
+0.0755827
+0.0737368
+0.0719104
+0.0701047
+0.0683217
+0.0665629
+0.0648305
+0.0631228
+0.0614402
+0.0597905
+0.0581766
+0.0566014
+0.0550683
+0.053581
+0.0521433
+0.0507493
+0.0494109
+0.048135
+0.0469268
+0.0457916
+0.0447212
+0.0437269
+0.0428218
+0.0420115
+0.0413016
+0.0406974
+0.0402037
+0.0398245
+0.0395631
+0.0394219
+0.0394023
+0.0395042
+0.0397066
+0.0400249
+0.0404596
+0.0410068
+0.0416622
+0.0424207
+0.0432769
+0.0442252
+0.0452597
+0.0462786
+0.0473197
+0.0484216
+0.0495815
+0.0507969
+0.0520762
+0.0534146
+0.054808
+0.0562522
+0.0577434
+0.0591727
+0.0604747
+0.0618268
+0.0632259
+0.0646564
+0.0661073
+0.0675981
+0.0691198
+0.0706694
+0.0721932
+0.0737449
+0.075322
+0.0769291
+0.077661
+0.0775491
+0.0774827
+0.0774763
+0.0775108
+0.0775204
+0.077582
+0.0777032
+0.0778859
+0.0781295
+0.0784318
+0.0787839
+0.0791951
+0.0796644
+0.0801909
+0.0807733
+0.0814031
+0.0820713
+0.0827921
+0.0835579
+0.0843688
+0.0852282
+0.0861348
+0.0870871
+0.0880836
+0.0891229
+0.0902033
+0.091294
+0.0924229
+0.0879688
+0.0860048
+0.0840501
+0.0821074
+0.0801774
+0.078261
+0.0763556
+0.0744644
+0.0725902
+0.0707341
+0.0688976
+0.0670825
+0.0652904
+0.0635232
+0.0617833
+0.0600728
+0.0583864
+0.0567326
+0.0551161
+0.0535406
+0.0520095
+0.0505271
+0.0490978
+0.0477224
+0.0464002
+0.0451456
+0.0439643
+0.0428559
+0.0418174
+0.04087
+0.0400202
+0.0392743
+0.0386385
+0.038118
+0.0377179
+0.0374418
+0.0372926
+0.0372718
+0.0373731
+0.0375837
+0.0379199
+0.0383784
+0.0389549
+0.0396442
+0.0404406
+0.0413379
+0.0423296
+0.0433433
+0.0443451
+0.0454246
+0.0465573
+0.0477532
+0.049014
+0.0503385
+0.051722
+0.0531597
+0.0546475
+0.0561277
+0.0574151
+0.058756
+0.0601468
+0.0615766
+0.0630223
+0.06451
+0.0660306
+0.0675857
+0.0691104
+0.0706625
+0.0722405
+0.0738497
+0.0754865
+0.0764384
+0.0763183
+0.0762064
+0.0760901
+0.0760367
+0.0760465
+0.0761159
+0.0762394
+0.0764256
+0.0766739
+0.0769838
+0.0773442
+0.077763
+0.0782409
+0.0787769
+0.0793697
+0.0800182
+0.0806983
+0.0814313
+0.08221
+0.083034
+0.0839072
+0.0848279
+0.0857947
+0.0868061
+0.0878604
+0.0889447
+0.0900589
+0.091203
+0.0870548
+0.0850693
+0.0830926
+0.0811269
+0.0791731
+0.0772319
+0.0753045
+0.0733918
+0.0714922
+0.0696069
+0.0677399
+0.0658929
+0.0640675
+0.0622656
+0.0604895
+0.0587414
+0.0570238
+0.0553367
+0.0536792
+0.0520601
+0.0504842
+0.0489557
+0.047479
+0.0460592
+0.0447018
+0.0434018
+0.0421718
+0.0410219
+0.0399367
+0.0389436
+0.0380508
+0.0372655
+0.0365948
+0.0360449
+0.0356214
+0.035329
+0.0351708
+0.0351487
+0.0352459
+0.0354691
+0.0358252
+0.0363102
+0.0369189
+0.0376456
+0.0384833
+0.0394251
+0.0404322
+0.0413886
+0.0424367
+0.0435422
+0.044717
+0.0459566
+0.0472653
+0.0486375
+0.050068
+0.0515519
+0.0530847
+0.05436
+0.0556882
+0.0570697
+0.0584988
+0.0599387
+0.0614229
+0.0629422
+0.0644974
+0.066029
+0.0675816
+0.0691605
+0.0707719
+0.0724102
+0.0740677
+0.0751757
+0.0749532
+0.0747708
+0.0746523
+0.0745979
+0.0746078
+0.0746821
+0.0748111
+0.0750008
+0.0752539
+0.0755696
+0.0759404
+0.0763669
+0.0768535
+0.0773991
+0.0780024
+0.0786621
+0.0793621
+0.0801073
+0.080899
+0.0817362
+0.0826231
+0.083558
+0.0845393
+0.0855655
+0.08662
+0.0877094
+0.088836
+0.0899957
+0.0861831
+0.0841803
+0.0821823
+0.0801943
+0.0782172
+0.0762517
+0.0742988
+0.0723595
+0.070435
+0.0685265
+0.0666338
+0.0647555
+0.0628971
+0.0610608
+0.0592485
+0.0574626
+0.0557056
+0.0539804
+0.0522886
+0.0506304
+0.0490094
+0.0474334
+0.0459077
+0.0444378
+0.0430292
+0.0416882
+0.0404184
+0.0392172
+0.0380892
+0.0370466
+0.0361069
+0.0352784
+0.0345691
+0.0339864
+0.033537
+0.0332262
+0.033058
+0.0330334
+0.033127
+0.0333644
+0.0337427
+0.0342571
+0.0349017
+0.0356695
+0.0365525
+0.0375428
+0.0384545
+0.0394588
+0.0405397
+0.0416895
+0.0429051
+0.0441956
+0.0455549
+0.0469771
+0.0484566
+0.0499883
+0.0513099
+0.052624
+0.053995
+0.0554186
+0.0568566
+0.058337
+0.0598548
+0.06141
+0.0629492
+0.0645024
+0.0660822
+0.067696
+0.0693358
+0.0709974
+0.0726872
+0.0737224
+0.0735077
+0.073347
+0.0732388
+0.0731834
+0.0731935
+0.0732692
+0.0734102
+0.0736138
+0.0738715
+0.0741931
+0.0745713
+0.0750056
+0.075501
+0.0760563
+0.0766701
+0.0773412
+0.0780644
+0.0788219
+0.0796267
+0.0804771
+0.0813777
+0.0823267
+0.0833205
+0.0843386
+0.0854009
+0.0865056
+0.0876469
+0.0888221
+0.0853512
+0.0833285
+0.0813145
+0.0793098
+0.0773115
+0.0753224
+0.0733448
+0.0713796
+0.069428
+0.067491
+0.0655699
+0.0636663
+0.0617812
+0.0599118
+0.0580637
+0.0562402
+0.0544438
+0.0526772
+0.0509436
+0.0492463
+0.0475834
+0.0459642
+0.044389
+0.042867
+0.041405
+0.0400096
+0.038688
+0.0374479
+0.0362799
+0.0351837
+0.0341928
+0.0333168
+0.0325648
+0.0319456
+0.031467
+0.0311356
+0.030956
+0.0309181
+0.031018
+0.0312714
+0.0316747
+0.0322222
+0.0329067
+0.0337199
+0.0346527
+0.0355481
+0.036501
+0.0375526
+0.0386677
+0.0398607
+0.0411301
+0.0424745
+0.0438872
+0.0453617
+0.0468922
+0.048266
+0.049564
+0.0509231
+0.0523386
+0.0537764
+0.0552525
+0.0567686
+0.0583238
+0.0598713
+0.061425
+0.0630058
+0.0646222
+0.0662635
+0.0679297
+0.0696249
+0.0713472
+0.0723064
+0.0720889
+0.0719253
+0.0718279
+0.0717972
+0.0718163
+0.0718934
+0.0720371
+0.0722469
+0.0725197
+0.0728472
+0.0732389
+0.0736838
+0.074188
+0.074753
+0.0753775
+0.07606
+0.0767989
+0.0775771
+0.0783949
+0.0792586
+0.0801729
+0.0811238
+0.0821108
+0.0831437
+0.0842211
+0.0853394
+0.0864894
+0.0876782
+0.0845678
+0.0825259
+0.0804918
+0.0784662
+0.0764496
+0.0744429
+0.0724445
+0.0704542
+0.0684762
+0.0665115
+0.0645613
+0.062627
+0.0607102
+0.0588125
+0.0569358
+0.0550778
+0.0532422
+0.0514343
+0.0496574
+0.0479146
+0.0462101
+0.044543
+0.0429216
+0.0413519
+0.0398351
+0.0383827
+0.037003
+0.0357045
+0.0344898
+0.0333606
+0.032314
+0.0313855
+0.0305861
+0.0299259
+0.0294145
+0.0290597
+0.0288672
+0.0288127
+0.0289199
+0.0291916
+0.0296232
+0.0302079
+0.030937
+0.031797
+0.032677
+0.0335685
+0.034576
+0.0356584
+0.0368254
+0.0380698
+0.0393969
+0.0407985
+0.0422672
+0.0437963
+0.0452295
+0.046509
+0.0478546
+0.0492609
+0.0506984
+0.0521696
+0.0536837
+0.0552389
+0.0567957
+0.0583498
+0.0599317
+0.0615508
+0.0631938
+0.0648648
+0.066566
+0.0682951
+0.0700501
+0.0709161
+0.0707084
+0.0705429
+0.0704436
+0.0704124
+0.0704492
+0.0705542
+0.0707052
+0.070919
+0.0711996
+0.0715396
+0.0719384
+0.0724013
+0.0729171
+0.0734919
+0.074127
+0.0748209
+0.075572
+0.0763748
+0.0772057
+0.0780825
+0.0789876
+0.0799409
+0.0809423
+0.08199
+0.0830789
+0.0842039
+0.0853693
+0.0865734
+0.0838344
+0.0817742
+0.0797209
+0.0776752
+0.0756375
+0.0736087
+0.0715894
+0.0695804
+0.067582
+0.0655905
+0.0636121
+0.0616481
+0.0596999
+0.057769
+0.0558573
+0.0539668
+0.0520998
+0.0502562
+0.0484361
+0.0466478
+0.0448951
+0.0431825
+0.0415111
+0.0398868
+0.0383189
+0.0368135
+0.0353734
+0.0340128
+0.0327354
+0.0315533
+0.0304767
+0.0294905
+0.0286382
+0.0279321
+0.0273835
+0.027002
+0.0267801
+0.0267163
+0.0268319
+0.0271245
+0.0275884
+0.0282153
+0.0289903
+0.0298514
+0.0306686
+0.0316168
+0.0326657
+0.0338
+0.0350163
+0.0363228
+0.0377114
+0.0391733
+0.0407007
+0.0422019
+0.0434601
+0.0447902
+0.0461859
+0.047623
+0.0490886
+0.0506005
+0.0521556
+0.0537226
+0.0552772
+0.0568601
+0.0584821
+0.060127
+0.0618033
+0.0635109
+0.0652474
+0.0670106
+0.0687941
+0.0694943
+0.0693087
+0.069192
+0.0691011
+0.0690693
+0.0691069
+0.0692138
+0.0693898
+0.0696343
+0.0699204
+0.0702733
+0.0706818
+0.0711529
+0.0716879
+0.0722738
+0.0729198
+0.0736253
+0.0743886
+0.0752079
+0.0760518
+0.0769168
+0.0778338
+0.0788011
+0.0798168
+0.0808739
+0.0819707
+0.0831107
+0.0842911
+0.0855105
+0.0831523
+0.0810747
+0.0790033
+0.0769384
+0.0748807
+0.0728308
+0.0707893
+0.068757
+0.0667347
+0.0647234
+0.062724
+0.0607325
+0.0587538
+0.0567908
+0.054845
+0.0529184
+0.051013
+0.0491315
+0.0472766
+0.0454503
+0.0436506
+0.0418871
+0.0401657
+0.0384897
+0.0368625
+0.0352962
+0.0337994
+0.0323803
+0.0310364
+0.029787
+0.0286508
+0.0276168
+0.0267048
+0.0259461
+0.0253545
+0.024942
+0.0247054
+0.0246363
+0.0247616
+0.0250783
+0.0255794
+0.0262492
+0.0270508
+0.0278115
+0.0286869
+0.0296947
+0.0307826
+0.0319713
+0.0332531
+0.0346262
+0.0360802
+0.0376056
+0.0391333
+0.0404187
+0.0417307
+0.0431142
+0.0445507
+0.0460098
+0.0475192
+0.0490742
+0.0506525
+0.0522076
+0.0537916
+0.055416
+0.0570635
+0.0587456
+0.0604602
+0.0622047
+0.0639766
+0.0657657
+0.0675777
+0.0680804
+0.0679045
+0.067799
+0.0677564
+0.0677704
+0.0678087
+0.0679177
+0.068097
+0.0683461
+0.0686549
+0.0690277
+0.0694589
+0.0699415
+0.0704863
+0.0710903
+0.071747
+0.072464
+0.0732395
+0.0740717
+0.074917
+0.0757949
+0.0767253
+0.0777064
+0.0787291
+0.0797952
+0.0809065
+0.0820613
+0.0832567
+0.084491
+0.0825226
+0.0804288
+0.0783403
+0.0762575
+0.0741809
+0.0721111
+0.0700486
+0.0679942
+0.0659485
+0.0639124
+0.0618869
+0.0598731
+0.057872
+0.0558815
+0.0539028
+0.0519413
+0.0499987
+0.0480775
+0.0461803
+0.0443101
+0.0424706
+0.0406657
+0.0388932
+0.0371623
+0.0354816
+0.0338515
+0.0322878
+0.0308007
+0.0294013
+0.0280806
+0.0268724
+0.0257931
+0.0248141
+0.0239958
+0.0233549
+0.0229063
+0.0226521
+0.0225767
+0.0227134
+0.0230583
+0.0235966
+0.0242884
+0.0250105
+0.0257963
+0.0267378
+0.027783
+0.0289376
+0.0301893
+0.0315436
+0.032988
+0.034511
+0.036064
+0.0373867
+0.0386775
+0.0400465
+0.0414823
+0.0429339
+0.0444402
+0.0459949
+0.0475861
+0.0491416
+0.0507268
+0.0523529
+0.054004
+0.0556923
+0.0574146
+0.0591678
+0.060946
+0.0627442
+0.0645665
+0.0664112
+0.0666591
+0.0664795
+0.0663718
+0.0663362
+0.066373
+0.066482
+0.0666628
+0.066851
+0.0671004
+0.0674107
+0.0677904
+0.0682383
+0.0687503
+0.0693172
+0.0699463
+0.0706227
+0.071351
+0.0721385
+0.0729832
+0.0738297
+0.0747204
+0.075664
+0.0766496
+0.0776824
+0.0787626
+0.0798884
+0.0810576
+0.0822676
+0.0835165
+0.0819468
+0.0798378
+0.0777334
+0.0756339
+0.0735397
+0.0714514
+0.0693693
+0.0672941
+0.0652265
+0.0631671
+0.0611169
+0.0590768
+0.0570478
+0.0550313
+0.0530286
+0.0510395
+0.0490613
+0.0471018
+0.0451636
+0.0432496
+0.041363
+0.0395077
+0.0376885
+0.0359109
+0.0341757
+0.0324889
+0.0308578
+0.0292982
+0.0278237
+0.0264457
+0.0251591
+0.0240038
+0.0229769
+0.0220905
+0.0213926
+0.020902
+0.020613
+0.0205301
+0.0206803
+0.0210522
+0.0216037
+0.0222705
+0.0229599
+0.0238122
+0.0248075
+0.0259155
+0.0271332
+0.0284644
+0.0298969
+0.0314171
+0.0329723
+0.0343664
+0.0356319
+0.036984
+0.0384134
+0.0398614
+0.0413641
+0.0429184
+0.0445241
+0.0460789
+0.0476662
+0.0492932
+0.0509492
+0.0526443
+0.0543748
+0.0561375
+0.0579216
+0.0597304
+0.0615641
+0.0634204
+0.0652974
+0.0652805
+0.065097
+0.064987
+0.0649507
+0.0649882
+0.0650995
+0.0652842
+0.0655416
+0.0658709
+0.0662155
+0.0666021
+0.067058
+0.0675818
+0.068172
+0.0688167
+0.0695191
+0.0702717
+0.0710838
+0.0719442
+0.0727921
+0.0736953
+0.0746407
+0.0756375
+0.076684
+0.0777781
+0.0789178
+0.0801013
+0.0813255
+0.0825886
+0.0814171
+0.0792993
+0.0771837
+0.0750691
+0.0729587
+0.0708532
+0.068753
+0.0666587
+0.0645707
+0.0624897
+0.0604166
+0.058352
+0.0562969
+0.0542524
+0.0522199
+0.0502006
+0.0481963
+0.0462089
+0.0442322
+0.042276
+0.0403439
+0.0384395
+0.0365672
+0.0347322
+0.0329407
+0.0312001
+0.0295149
+0.0278799
+0.0263256
+0.0248674
+0.0235232
+0.0222853
+0.0211999
+0.0202431
+0.0194791
+0.0189391
+0.0186061
+0.0185142
+0.0186752
+0.0190445
+0.0196373
+0.0201879
+0.0209362
+0.0218662
+0.022907
+0.0240879
+0.0253897
+0.0268076
+0.0283241
+0.0298755
+0.0312976
+0.0325963
+0.0339279
+0.0353452
+0.0367932
+0.0382915
+0.0398453
+0.0414566
+0.0430211
+0.0446099
+0.0462386
+0.0479
+0.0496025
+0.0513421
+0.0531129
+0.0549053
+0.0567257
+0.0585715
+0.0604404
+0.0623301
+0.0641726
+0.0639258
+0.063753
+0.0636475
+0.0636105
+0.0636488
+0.0637624
+0.063951
+0.0642137
+0.0645498
+0.064958
+0.0654303
+0.0659246
+0.0664621
+0.0670622
+0.0677278
+0.0684516
+0.0692206
+0.0700466
+0.0709291
+0.0718046
+0.0727084
+0.0736662
+0.0746761
+0.0757358
+0.0768434
+0.0779968
+0.079194
+0.0803873
+0.0814508
+0.0809233
+0.0787918
+0.0766636
+0.074539
+0.0724184
+0.0703021
+0.0681905
+0.0660841
+0.0639832
+0.0618825
+0.0597883
+0.0577012
+0.0556221
+0.0535519
+0.0514886
+0.0494355
+0.0473947
+0.0453679
+0.0433571
+0.0413645
+0.039393
+0.0374459
+0.0355268
+0.0336399
+0.0317912
+0.0299885
+0.0282407
+0.0265571
+0.0249234
+0.0233779
+0.0219425
+0.0206403
+0.0194804
+0.0184663
+0.0176255
+0.0170249
+0.0166423
+0.0165387
+0.0166691
+0.0170818
+0.0175172
+0.018121
+0.0189497
+0.019926
+0.021058
+0.0223215
+0.0237205
+0.0252308
+0.026779
+0.0282297
+0.0295736
+0.0308801
+0.0322826
+0.0337304
+0.0352234
+0.0367763
+0.0383915
+0.0399696
+0.0415595
+0.0431901
+0.0448574
+0.0465681
+0.0483176
+0.0500945
+0.0518987
+0.0537317
+0.0555906
+0.0574728
+0.0593762
+0.0612988
+0.0628511
+0.06261
+0.0624336
+0.0623338
+0.0623108
+0.0623576
+0.0624736
+0.062666
+0.0629341
+0.0632769
+0.0636933
+0.0641701
+0.0647149
+0.0653286
+0.0659971
+0.0666789
+0.0674195
+0.0682118
+0.0690531
+0.0699529
+0.0708589
+0.0717745
+0.0727447
+0.0737671
+0.0748079
+0.0758678
+0.0769561
+0.0780697
+0.0791037
+0.0801843
+0.0804573
+0.0783131
+0.0761715
+0.0740329
+0.0718973
+0.0697652
+0.0676368
+0.0655126
+0.0633929
+0.0612781
+0.0591689
+0.0570658
+0.0549696
+0.0528808
+0.0507895
+0.0487069
+0.0466343
+0.0445729
+0.0425245
+0.040491
+0.0384748
+0.0364786
+0.0345058
+0.03256
+0.0306463
+0.0287719
+0.0269452
+0.0251768
+0.0234796
+0.0218508
+0.0203083
+0.0188944
+0.0176399
+0.016581
+0.0157574
+0.015122
+0.0146857
+0.0145678
+0.0147157
+0.0150097
+0.0154113
+0.0160853
+0.0169869
+0.0180431
+0.0192629
+0.0206367
+0.0221371
+0.0236829
+0.0251582
+0.0265596
+0.0278435
+0.0292275
+0.0306748
+0.0321611
+0.0337127
+0.0353321
+0.0369258
+0.0385167
+0.0401492
+0.041823
+0.0435427
+0.0453021
+0.0470865
+0.0489036
+0.0507501
+0.0526231
+0.0545198
+0.0564378
+0.058375
+0.0603295
+0.0615781
+0.0613357
+0.0611643
+0.0610624
+0.0610389
+0.0610941
+0.0612276
+0.0614322
+0.0617057
+0.0620553
+0.0624778
+0.062961
+0.0635161
+0.0641413
+0.0648345
+0.0655936
+0.0664137
+0.0672287
+0.0681045
+0.0690243
+0.0698834
+0.070746
+0.0716557
+0.072604
+0.0736054
+0.0746576
+0.0757585
+0.0768098
+0.0778606
+0.078947
+0.0800098
+0.0778642
+0.0757212
+0.073581
+0.0714396
+0.0692934
+0.0671501
+0.06501
+0.0628733
+0.0607404
+0.0586119
+0.056488
+0.0543695
+0.052257
+0.0501511
+0.0480529
+0.0459632
+0.043873
+0.0417903
+0.0397192
+0.0376617
+0.03562
+0.0335969
+0.0315952
+0.0296193
+0.0276754
+0.0257712
+0.0239161
+0.0221224
+0.0204064
+0.0187721
+0.0172325
+0.015847
+0.0146593
+0.0137207
+0.0130851
+0.0127518
+0.0126436
+0.0127643
+0.0128728
+0.0133219
+0.014096
+0.0150554
+0.0162193
+0.0175579
+0.0190449
+0.0205875
+0.022094
+0.0234915
+0.0248221
+0.0261825
+0.0276286
+0.0291063
+0.030656
+0.0322801
+0.0338918
+0.0354834
+0.0371178
+0.0387987
+0.0405283
+0.0422941
+0.0440909
+0.045922
+0.0477834
+0.0496717
+0.0515838
+0.0535174
+0.05547
+0.0574396
+0.0594202
+0.0603578
+0.0601105
+0.0599422
+0.0598441
+0.0598202
+0.0598765
+0.0600128
+0.0602285
+0.0605227
+0.0608881
+0.0613136
+0.0618059
+0.0623713
+0.0630078
+0.0637133
+0.0644856
+0.0653223
+0.0662208
+0.0671191
+0.0678622
+0.0686671
+0.0695274
+0.0704362
+0.0714007
+0.0724187
+0.0734879
+0.0745446
+0.075539
+0.0765587
+0.0776101
+0.0795694
+0.0774269
+0.0752871
+0.0731487
+0.0709986
+0.068851
+0.0667063
+0.0645646
+0.0624263
+0.0602776
+0.0581321
+0.0559901
+0.053852
+0.0517183
+0.0495896
+0.0474665
+0.0453499
+0.0432406
+0.0411398
+0.0390489
+0.0369608
+0.0348781
+0.0328093
+0.0307565
+0.028723
+0.026714
+0.0247359
+0.0227966
+0.0209071
+0.0190822
+0.0173421
+0.015701
+0.0141665
+0.012824
+0.0117396
+0.01099
+0.0106063
+0.0106207
+0.0106235
+0.0107428
+0.0112709
+0.0121231
+0.013201
+0.0144874
+0.015955
+0.0174929
+0.0190409
+0.0204324
+0.0218222
+0.0231516
+0.0245954
+0.0260618
+0.0276086
+0.0292377
+0.0308706
+0.0324625
+0.0340984
+0.035787
+0.0375274
+0.0392996
+0.0411106
+0.042957
+0.0448345
+0.0467392
+0.048668
+0.0506181
+0.0525871
+0.0545717
+0.0565669
+0.058576
+0.0591829
+0.0589412
+0.0587696
+0.0586794
+0.058658
+0.0587154
+0.0588544
+0.0590743
+0.0593743
+0.0597528
+0.0601936
+0.0607078
+0.0612834
+0.0619311
+0.0626488
+0.063434
+0.0642843
+0.0651042
+0.0658888
+0.0666455
+0.067465
+0.0683401
+0.0692645
+0.0702451
+0.0712796
+0.0723024
+0.0732362
+0.0742177
+0.075235
+0.0762974
+0.07916
+0.0770061
+0.0748544
+0.072705
+0.0705581
+0.068414
+0.0662729
+0.0641352
+0.0619936
+0.0598437
+0.0576968
+0.0555533
+0.0534137
+0.0512677
+0.0491194
+0.0469751
+0.0448353
+0.0427006
+0.0405719
+0.0384501
+0.0363365
+0.0342326
+0.0321404
+0.0300543
+0.0279699
+0.0259026
+0.0238573
+0.0218402
+0.0198599
+0.0179286
+0.016064
+0.0142923
+0.0126431
+0.0111182
+0.00984774
+0.00894093
+0.00848396
+0.00850193
+0.00849068
+0.00863517
+0.00928404
+0.0102116
+0.0114318
+0.012869
+0.0143999
+0.016005
+0.0173783
+0.0188246
+0.0201411
+0.0215724
+0.0230316
+0.0245738
+0.0262085
+0.0278662
+0.0294574
+0.0310944
+0.0327914
+0.0345383
+0.0363225
+0.0381491
+0.0400122
+0.0419071
+0.0438295
+0.045776
+0.0477437
+0.0497301
+0.0517294
+0.0537407
+0.0557117
+0.0576757
+0.0579627
+0.0577372
+0.0575942
+0.0575344
+0.0575539
+0.0576124
+0.057754
+0.057978
+0.0582836
+0.0586695
+0.05912
+0.059646
+0.0602471
+0.0609142
+0.0616437
+0.062364
+0.0631113
+0.0639101
+0.0647092
+0.0654796
+0.0662993
+0.0671742
+0.0681006
+0.0690841
+0.0700988
+0.0709872
+0.0719181
+0.0728972
+0.0739282
+0.0750069
+0.0788095
+0.0766457
+0.0744836
+0.0723232
+0.0701646
+0.0680081
+0.0658538
+0.0637021
+0.0615531
+0.0594071
+0.0572645
+0.0551257
+0.0529911
+0.0508452
+0.0486958
+0.0465503
+0.0444092
+0.0422673
+0.0401156
+0.0379684
+0.0358264
+0.0336907
+0.0315625
+0.0294435
+0.0273358
+0.0252422
+0.0231533
+0.0210689
+0.0190084
+0.0169806
+0.0149986
+0.0130834
+0.0112689
+0.00961101
+0.00810774
+0.00697837
+0.00640774
+0.00641252
+0.00639578
+0.00658207
+0.00730594
+0.00840383
+0.0097906
+0.0113096
+0.0129757
+0.0143252
+0.0157733
+0.0171619
+0.0185667
+0.0200175
+0.021557
+0.0231974
+0.0248786
+0.0264732
+0.0281109
+0.0298167
+0.0315682
+0.0333674
+0.035211
+0.0370924
+0.039006
+0.0409474
+0.0429129
+0.0448992
+0.0469034
+0.048918
+0.0508835
+0.0528453
+0.0548244
+0.0568191
+0.0568007
+0.0565707
+0.0564247
+0.0563636
+0.0563877
+0.0564967
+0.0566902
+0.056931
+0.0572422
+0.057635
+0.0581058
+0.0586443
+0.0592555
+0.0598855
+0.0605114
+0.0612028
+0.0619572
+0.0627394
+0.0635103
+0.0642804
+0.0651151
+0.0659911
+0.0669202
+0.0679074
+0.0687899
+0.0696758
+0.070618
+0.0716148
+0.0726617
+0.0737485
+0.0785185
+0.0763465
+0.0741757
+0.072006
+0.0698376
+0.0676707
+0.0655053
+0.0633418
+0.0611801
+0.0590205
+0.0568634
+0.0547089
+0.0525574
+0.0504093
+0.048265
+0.0461251
+0.0439902
+0.041861
+0.0397092
+0.0375614
+0.0354189
+0.0332804
+0.0311281
+0.0289777
+0.0268334
+0.0246973
+0.0225716
+0.0204597
+0.0183662
+0.0162739
+0.0141937
+0.0121522
+0.0101731
+0.00830088
+0.00662691
+0.00520128
+0.00442004
+0.00441317
+0.00439529
+0.00462867
+0.00542699
+0.00673039
+0.00822531
+0.00988754
+0.0112965
+0.0127445
+0.0142335
+0.0155944
+0.0170201
+0.018567
+0.0202127
+0.0219206
+0.0235177
+0.0251551
+0.0268659
+0.0286253
+0.0304408
+0.0323029
+0.0342039
+0.0361377
+0.0380993
+0.0400847
+0.0420905
+0.044104
+0.0460701
+0.0480287
+0.0500065
+0.0520014
+0.0540115
+0.0560162
+0.0557008
+0.0554661
+0.0553173
+0.055255
+0.0552795
+0.0553907
+0.0555881
+0.0558707
+0.0562373
+0.0566663
+0.0571449
+0.0576485
+0.0581671
+0.0587381
+0.0593324
+0.059991
+0.0607215
+0.0615214
+0.0623405
+0.0631131
+0.0639416
+0.0648262
+0.0657485
+0.0666589
+0.0675011
+0.0684031
+0.0693626
+0.0703743
+0.0714288
+0.0725341
+0.078278
+0.0761006
+0.073924
+0.0717482
+0.0695734
+0.0673996
+0.065227
+0.0630552
+0.0608837
+0.0587132
+0.0565444
+0.0543773
+0.0522121
+0.0500492
+0.0478888
+0.0457312
+0.043577
+0.0414266
+0.0392791
+0.0371361
+0.0349989
+0.0328688
+0.0307473
+0.028597
+0.0264504
+0.0243116
+0.0221662
+0.0200195
+0.0178801
+0.0157487
+0.0136359
+0.0115428
+0.00946531
+0.00741655
+0.00547874
+0.00378444
+0.002651
+0.00262172
+0.00267939
+0.00272287
+0.00373322
+0.00514999
+0.00680851
+0.00831909
+0.0097593
+0.0113182
+0.0126751
+0.0140664
+0.0156123
+0.0172616
+0.0190072
+0.0206032
+0.0222381
+0.0239463
+0.0257189
+0.0275518
+0.0294335
+0.0313554
+0.0333106
+0.0352934
+0.0372994
+0.0393071
+0.0412768
+0.0432305
+0.0452059
+0.0472004
+0.0492115
+0.0512374
+0.0532763
+0.0549323
+0.0546405
+0.0544208
+0.0542691
+0.0542056
+0.0542305
+0.0543438
+0.0545449
+0.0548329
+0.0552064
+0.0556636
+0.0560615
+0.0564952
+0.0569985
+0.0575172
+0.058114
+0.0587863
+0.0595317
+0.0603475
+0.0611623
+0.0619016
+0.0627088
+0.063573
+0.0644917
+0.0653978
+0.066256
+0.0671747
+0.0681379
+0.0691571
+0.0702298
+0.0713535
+0.0780962
+0.0759135
+0.0737314
+0.0715498
+0.0693687
+0.0671883
+0.0650086
+0.0628296
+0.0606515
+0.0584743
+0.0562982
+0.0541233
+0.0519496
+0.0497775
+0.047607
+0.0454385
+0.0432709
+0.0411045
+0.0389393
+0.0367765
+0.0346171
+0.032462
+0.0303119
+0.0281682
+0.0260322
+0.0239061
+0.0217905
+0.0196791
+0.0175355
+0.0154052
+0.0132944
+0.0111648
+0.00905005
+0.00695265
+0.00492153
+0.00300305
+0.00145472
+0.00109162
+0.00123537
+0.00101542
+0.00208905
+0.00376093
+0.00546519
+0.00682214
+0.00839633
+0.00986143
+0.0111911
+0.0127045
+0.0143536
+0.0161321
+0.0177501
+0.0193753
+0.0210779
+0.0228629
+0.0247134
+0.0266155
+0.0285591
+0.0305361
+0.0325404
+0.0345387
+0.0365114
+0.0384576
+0.0404289
+0.0424216
+0.044433
+0.0464607
+0.0485025
+0.0505567
+0.052622
+0.0539158
+0.0536184
+0.0534094
+0.0532791
+0.0532147
+0.0532401
+0.0533555
+0.0535604
+0.0538536
+0.0541655
+0.054457
+0.0548215
+0.0552704
+0.0557705
+0.056302
+0.0569113
+0.0575976
+0.058358
+0.0591854
+0.059869
+0.0606241
+0.0614178
+0.0622786
+0.0631985
+0.0641707
+0.0650497
+0.0659712
+0.0669517
+0.0679862
+0.0690514
+0.0701171
+0.0772863
+0.0757893
+0.0736035
+0.071418
+0.0692328
+0.067048
+0.0648635
+0.0626795
+0.060496
+0.058313
+0.0561306
+0.0539489
+0.051768
+0.0495879
+0.0474088
+0.0452308
+0.0430541
+0.0408788
+0.0387054
+0.0365339
+0.034365
+0.0321989
+0.0300305
+0.0278651
+0.0257039
+0.0235483
+0.0213973
+0.0192512
+0.0171161
+0.014997
+0.0129019
+0.0108445
+0.00884979
+0.00679676
+0.0047077
+0.00267147
+0.000938112
+-0.00036132
+-0.000297366
+-0.000349949
+0.000758658
+0.00277099
+0.00410832
+0.00562623
+0.00720342
+0.00847439
+0.00991173
+0.0115449
+0.0133381
+0.0149619
+0.0165657
+0.0182844
+0.0200789
+0.0219454
+0.0238671
+0.0258316
+0.0278127
+0.0298049
+0.0317866
+0.0337208
+0.0356847
+0.0376737
+0.0396839
+0.0417123
+0.0437563
+0.0458139
+0.0478833
+0.049963
+0.0520518
+0.0529378
+0.0526526
+0.0524491
+0.0523095
+0.0522613
+0.052305
+0.0524402
+0.0525743
+0.0527146
+0.0529452
+0.0532649
+0.0536378
+0.0540966
+0.0545905
+0.0551333
+0.0557554
+0.0564557
+0.0572314
+0.0579261
+0.0585928
+0.0593328
+0.0601437
+0.0610212
+0.0619502
+0.0629416
+0.0638806
+0.0648042
+0.0657738
+0.0667612
+0.0677905
+0.0688737
+0.0758646
+0.0747595
+0.0735407
+0.0713533
+0.069166
+0.066979
+0.0647923
+0.0626058
+0.0604196
+0.0582337
+0.0560483
+0.0538632
+0.0516786
+0.0494946
+0.0473112
+0.0451285
+0.0429466
+0.0407656
+0.0385858
+0.0364072
+0.0342302
+0.0320551
+0.0298823
+0.0277122
+0.0255457
+0.0233836
+0.0212226
+0.0190578
+0.0168989
+0.0147488
+0.0126125
+0.0104986
+0.00842401
+0.00636888
+0.00441377
+0.0026559
+0.000770714
+-0.0012042
+-0.000756943
+-0.00021746
+0.000357348
+0.00204895
+0.00330059
+0.00484544
+0.00609211
+0.00735669
+0.00892865
+0.0107128
+0.0122966
+0.0138687
+0.0155854
+0.0173958
+0.0192747
+0.0212058
+0.0231447
+0.025125
+0.0271234
+0.0290377
+0.0309887
+0.0329698
+0.0349759
+0.037003
+0.0390477
+0.0411075
+0.0431802
+0.045264
+0.0473574
+0.0494592
+0.0515685
+0.0519559
+0.0516653
+0.0514663
+0.0513601
+0.05134
+0.0512896
+0.0512882
+0.0513386
+0.0514822
+0.0517183
+0.0520456
+0.0524624
+0.0529413
+0.0534679
+0.0540283
+0.054663
+0.0553771
+0.0560541
+0.0566581
+0.0573395
+0.0580956
+0.0589234
+0.0598078
+0.0607552
+0.0617659
+0.0626686
+0.0635661
+0.0645228
+0.0655148
+0.0665628
+0.0676656
+0.074474
+0.0733568
+0.0722772
+0.0712415
+0.0691441
+0.066955
+0.064766
+0.0625772
+0.0603884
+0.0581998
+0.0560114
+0.0538231
+0.0516351
+0.0494473
+0.0472597
+0.0450725
+0.0428856
+0.0406991
+0.0385131
+0.0363277
+0.0341429
+0.031959
+0.029776
+0.0275943
+0.0254141
+0.0232358
+0.0210602
+0.018888
+0.0167207
+0.0145604
+0.0124107
+0.0102684
+0.00814075
+0.0060582
+0.0040847
+0.00229722
+0.000430607
+-0.000485312
+0.000833982
+0.0014086
+0.00190093
+0.00238661
+0.00340916
+0.00441247
+0.00531505
+0.00672292
+0.00841413
+0.00983432
+0.0113287
+0.0130217
+0.0148169
+0.0166895
+0.0185958
+0.0205474
+0.022543
+0.0244393
+0.0263665
+0.028332
+0.0303284
+0.03235
+0.0343923
+0.0364518
+0.0385258
+0.0406121
+0.0427088
+0.0448145
+0.0469279
+0.0490457
+0.0511687
+0.0509997
+0.0506856
+0.0504239
+0.0501863
+0.0500434
+0.049995
+0.05002
+0.0500719
+0.0502194
+0.0504617
+0.0507973
+0.0512246
+0.0517411
+0.0522816
+0.0528817
+0.0535646
+0.0542824
+0.0548184
+0.0554359
+0.0561321
+0.0569042
+0.0577492
+0.058651
+0.0596168
+0.0605631
+0.0614136
+0.0623295
+0.0632843
+0.0642938
+0.0653609
+0.0664584
+0.0731227
+0.0719845
+0.0708942
+0.0698441
+0.0686761
+0.0669739
+0.0647856
+0.0625974
+0.0604094
+0.0582215
+0.056034
+0.0538466
+0.051659
+0.0494703
+0.0472818
+0.0450935
+0.0429054
+0.0407176
+0.0385302
+0.0363431
+0.0341565
+0.0319705
+0.0297851
+0.0276006
+0.0254171
+0.0232351
+0.0210548
+0.0188769
+0.0167023
+0.0145326
+0.0123703
+0.0102202
+0.00809172
+0.00595686
+0.0038452
+0.0018587
+-0.00018238
+0.000370468
+0.00130492
+0.00196739
+0.00224948
+0.00302491
+0.0040263
+0.00444766
+0.00530392
+0.00669213
+0.00776875
+0.00908493
+0.0106847
+0.0124411
+0.0142739
+0.0161591
+0.0181083
+0.0199839
+0.0218649
+0.0237989
+0.0257741
+0.0277816
+0.0298149
+0.031869
+0.0339403
+0.0360244
+0.0381174
+0.0402207
+0.0423328
+0.0444525
+0.0463834
+0.0482715
+0.0501843
+0.0498134
+0.0494587
+0.0491896
+0.0489572
+0.0488107
+0.0487605
+0.0487699
+0.0488399
+0.0489912
+0.0492395
+0.0495834
+0.050021
+0.0505498
+0.0511393
+0.0517526
+0.0524503
+0.0530957
+0.0536436
+0.0542745
+0.0549854
+0.0557734
+0.056632
+0.0575482
+0.0585304
+0.0593292
+0.0601942
+0.0611095
+0.0620759
+0.0630935
+0.0641651
+0.0652836
+0.071691
+0.0706245
+0.069544
+0.0684821
+0.0673872
+0.0661179
+0.0648446
+0.062657
+0.0604695
+0.0582823
+0.0560954
+0.0539087
+0.0517224
+0.0495365
+0.0473511
+0.0451661
+0.0429818
+0.0407981
+0.0386152
+0.0364332
+0.0342524
+0.0320729
+0.029895
+0.0277191
+0.0255458
+0.0233758
+0.0212099
+0.0190498
+0.0168975
+0.014732
+0.012569
+0.0104175
+0.0082866
+0.00616751
+0.00405712
+0.00199375
+0.000585562
+0.00121562
+0.00203702
+0.00243345
+0.00289131
+0.00353832
+0.00465937
+0.00527096
+0.00598641
+0.00644218
+0.00743172
+0.00877837
+0.010407
+0.012161
+0.0139866
+0.0157932
+0.0175768
+0.0194439
+0.0213725
+0.0233471
+0.0253529
+0.0273851
+0.0294401
+0.0315133
+0.0336015
+0.0357019
+0.0378126
+0.0396682
+0.041515
+0.0433938
+0.0453006
+0.0472321
+0.049061
+0.0486032
+0.0482347
+0.0479634
+0.0477473
+0.0476166
+0.0475538
+0.047527
+0.0476012
+0.0477757
+0.0480497
+0.0484213
+0.048886
+0.049427
+0.0499916
+0.0506216
+0.0513335
+0.0519743
+0.0525339
+0.0531779
+0.0539033
+0.0547036
+0.0555653
+0.0564988
+0.0573247
+0.0581323
+0.0590015
+0.0599223
+0.0608993
+0.0619303
+0.0630058
+0.0641256
+0.0701934
+0.0691865
+0.0681513
+0.0671577
+0.0661272
+0.0648485
+0.0636038
+0.0624013
+0.0604906
+0.0583057
+0.0561212
+0.0539373
+0.0517539
+0.0495711
+0.0473891
+0.045208
+0.0430278
+0.0408487
+0.0386709
+0.0364947
+0.0343203
+0.0321481
+0.0299786
+0.0278125
+0.0256505
+0.0234938
+0.0213441
+0.0192036
+0.0170471
+0.0148719
+0.012702
+0.0105407
+0.00839469
+0.00627956
+0.00424184
+0.00238512
+0.00146203
+0.00205833
+0.00287277
+0.00278842
+0.0033475
+0.00400257
+0.00504765
+0.00596048
+0.00640441
+0.00675299
+0.00762143
+0.00894615
+0.0104796
+0.0120814
+0.013693
+0.0154053
+0.0172194
+0.0191126
+0.0210635
+0.0230575
+0.0250844
+0.0271367
+0.0292091
+0.0312673
+0.0330409
+0.0348258
+0.0366547
+0.0385214
+0.0404206
+0.042348
+0.0442998
+0.0462731
+0.0479031
+0.0474453
+0.0470793
+0.0468014
+0.0465739
+0.0464395
+0.0463819
+0.0463545
+0.0464305
+0.0466094
+0.0468902
+0.0472709
+0.0477491
+0.0483221
+0.0488971
+0.0495411
+0.0502628
+0.0509226
+0.0514936
+0.0521504
+0.0528865
+0.053688
+0.0545657
+0.0553575
+0.0561584
+0.0569799
+0.0578543
+0.0587723
+0.0597311
+0.0607538
+0.0618298
+0.0629456
+0.068708
+0.067688
+0.0666939
+0.0657169
+0.0647717
+0.0636234
+0.0623545
+0.061137
+0.0599651
+0.0582718
+0.056086
+0.0539006
+0.0517157
+0.0495313
+0.0473474
+0.0451642
+0.0429818
+0.0408002
+0.0386197
+0.0364404
+0.0342625
+0.0320864
+0.0299125
+0.0277411
+0.0255731
+0.0234092
+0.0212509
+0.0191
+0.0169592
+0.014833
+0.0127287
+0.0106592
+0.00864962
+0.00673471
+0.00496897
+0.00357127
+0.00277517
+0.00314439
+0.00361742
+0.00362112
+0.00376119
+0.0042273
+0.00517219
+0.00657308
+0.00718862
+0.00750762
+0.00831215
+0.00940703
+0.0105317
+0.0119522
+0.0135477
+0.0152666
+0.0170938
+0.0189979
+0.0209582
+0.0228747
+0.0246104
+0.0264096
+0.0282517
+0.0300016
+0.0318061
+0.0336566
+0.0355457
+0.0374676
+0.0394177
+0.0413918
+0.0433867
+0.0453996
+0.0467132
+0.0462482
+0.0458608
+0.0455724
+0.0453707
+0.0452564
+0.0451426
+0.045135
+0.0452336
+0.0454377
+0.0457459
+0.0461286
+0.0465788
+0.0471267
+0.0477624
+0.0484866
+0.0492531
+0.0499447
+0.0505268
+0.0511925
+0.0519278
+0.0527438
+0.0534869
+0.0542099
+0.0549552
+0.0557559
+0.0566263
+0.0575375
+0.0585165
+0.0595548
+0.0606457
+0.061783
+0.0672481
+0.066191
+0.0651905
+0.0642471
+0.0633136
+0.0624087
+0.0611579
+0.0599168
+0.0587302
+0.0575926
+0.056121
+0.053937
+0.0517536
+0.0495707
+0.0473887
+0.0452074
+0.0430271
+0.040848
+0.0386701
+0.0364938
+0.0343193
+0.0321469
+0.0299773
+0.027811
+0.0256488
+0.0234919
+0.0213418
+0.019201
+0.0170728
+0.0149626
+0.0128794
+0.0108386
+0.00886966
+0.00700347
+0.0053754
+0.00417443
+0.00383344
+0.00444025
+0.00478351
+0.00449559
+0.00440239
+0.00482059
+0.00501685
+0.00573099
+0.00662909
+0.00754159
+0.0087609
+0.00960761
+0.010708
+0.0121079
+0.0133908
+0.0148092
+0.0163985
+0.0181137
+0.0197953
+0.0215564
+0.0233862
+0.0252061
+0.0269756
+0.0288031
+0.0306783
+0.0325928
+0.0345401
+0.0365151
+0.0385133
+0.0405315
+0.042496
+0.0444449
+0.0453486
+0.0449039
+0.0445048
+0.0442108
+0.0440239
+0.0439261
+0.0438924
+0.0438846
+0.043986
+0.0441959
+0.0445127
+0.044885
+0.0453476
+0.0459102
+0.0465692
+0.0473205
+0.0481552
+0.0490035
+0.0496284
+0.050297
+0.0510452
+0.0516663
+0.0523253
+0.0529847
+0.0537254
+0.0545441
+0.0554302
+0.0563607
+0.0573569
+0.0584014
+0.0594913
+0.0606407
+0.0657884
+0.0647336
+0.0637102
+0.0627467
+0.0618457
+0.06096
+0.0600174
+0.0587523
+0.0575427
+0.0563796
+0.0552765
+0.054061
+0.0518828
+0.0497056
+0.0475298
+0.0453553
+0.0431825
+0.0410116
+0.0388429
+0.0366768
+0.0345138
+0.0323546
+0.0301998
+0.0280507
+0.0259082
+0.0237695
+0.0216413
+0.0195269
+0.0174314
+0.0153624
+0.0133324
+0.0113622
+0.00946513
+0.00767586
+0.00615201
+0.00508255
+0.00470288
+0.00512225
+0.00588374
+0.00544301
+0.00511501
+0.00458836
+0.00452707
+0.004739
+0.00544163
+0.0063142
+0.00726361
+0.00850439
+0.00932173
+0.0103981
+0.0117695
+0.0133612
+0.0150343
+0.016723
+0.0185171
+0.020352
+0.022175
+0.0239681
+0.0258226
+0.0277262
+0.0296695
+0.0316451
+0.0336473
+0.0356717
+0.0376682
+0.0396123
+0.0415809
+0.0435708
+0.0439978
+0.043577
+0.0432171
+0.0429142
+0.0427217
+0.042641
+0.0426525
+0.04271
+0.0428142
+0.0430298
+0.0433462
+0.0437154
+0.0441903
+0.0447674
+0.045443
+0.0462126
+0.0470465
+0.047855
+0.0487486
+0.0494631
+0.0499642
+0.0505105
+0.0511261
+0.0517862
+0.0525207
+0.0533352
+0.0542199
+0.0551708
+0.056191
+0.0572491
+0.0583587
+0.0595196
+0.0643424
+0.0632958
+0.0622718
+0.0612857
+0.0603629
+0.0595066
+0.0586614
+0.0576475
+0.0564112
+0.0552218
+0.0540951
+0.0530347
+0.0520437
+0.0499265
+0.0477581
+0.0455917
+0.0434279
+0.0412668
+0.0391091
+0.0369553
+0.034806
+0.0326623
+0.0305252
+0.0283963
+0.0262775
+0.0241659
+0.0220662
+0.0199861
+0.0179323
+0.015915
+0.0139502
+0.012055
+0.0102498
+0.00862498
+0.00726509
+0.00628515
+0.00598344
+0.00619548
+0.00693301
+0.00621187
+0.00505588
+0.00456257
+0.00412198
+0.00406682
+0.00456195
+0.00496798
+0.00602417
+0.00665802
+0.00748641
+0.00877075
+0.0103599
+0.0119427
+0.0136622
+0.0155011
+0.0173177
+0.0191653
+0.0209869
+0.0228734
+0.0248099
+0.0267855
+0.0287924
+0.0308242
+0.032781
+0.034749
+0.0367422
+0.038753
+0.0407632
+0.0427911
+0.0426708
+0.0422688
+0.0419597
+0.041673
+0.0414747
+0.0413916
+0.0414243
+0.0415093
+0.0416647
+0.0419305
+0.0422477
+0.0426264
+0.0431133
+0.0437046
+0.0443708
+0.0450969
+0.0459161
+0.0467636
+0.0476777
+0.048342
+0.0487976
+0.0493324
+0.0499111
+0.050578
+0.0513299
+0.05216
+0.0530574
+0.0540288
+0.0550702
+0.0561344
+0.0572566
+0.0584394
+0.0629379
+0.0618675
+0.0608572
+0.0598692
+0.0589242
+0.058026
+0.0571976
+0.0563999
+0.0553221
+0.0541187
+0.052967
+0.0518823
+0.0508689
+0.0499311
+0.0480594
+0.0459073
+0.0437577
+0.0416086
+0.0394641
+0.037325
+0.0351922
+0.033067
+0.030951
+0.028846
+0.0267549
+0.024681
+0.0226292
+0.0206059
+0.0186206
+0.0166743
+0.0147842
+0.0129889
+0.0112275
+0.00958377
+0.00816849
+0.00707009
+0.00652209
+0.00647857
+0.00705531
+0.00644627
+0.0051624
+0.00429262
+0.00376049
+0.00357969
+0.00345936
+0.00373222
+0.00438084
+0.00480203
+0.00586489
+0.00732045
+0.00885557
+0.0106232
+0.0124658
+0.0143108
+0.016189
+0.0180452
+0.0199692
+0.0219433
+0.0239551
+0.0259615
+0.0278945
+0.0298631
+0.0318607
+0.0338822
+0.0359236
+0.0379815
+0.0399926
+0.0418134
+0.041332
+0.0409622
+0.0406645
+0.0404541
+0.0402729
+0.040166
+0.0401304
+0.0402042
+0.0403838
+0.040662
+0.0409919
+0.041382
+0.0418832
+0.0424916
+0.0432026
+0.0440113
+0.044864
+0.0457511
+0.046685
+0.0472163
+0.0476623
+0.0481624
+0.0487549
+0.0494374
+0.0502062
+0.0510447
+0.0519614
+0.0529445
+0.0539848
+0.0550637
+0.0561992
+0.05738
+0.061577
+0.0604825
+0.0594487
+0.0584604
+0.0574925
+0.0565798
+0.05573
+0.0549544
+0.0539802
+0.0529279
+0.0518999
+0.0507925
+0.0497569
+0.0487977
+0.0479195
+0.0462877
+0.0441531
+0.0420242
+0.0399021
+0.0377878
+0.0356827
+0.0335885
+0.0315075
+0.0294424
+0.0273968
+0.0253754
+0.0233841
+0.0213709
+0.0193555
+0.0173823
+0.0154645
+0.0136099
+0.0118705
+0.0102935
+0.00890907
+0.00784141
+0.0072246
+0.00718255
+0.00772236
+0.00659092
+0.00548959
+0.0045525
+0.00361415
+0.00272532
+0.00230239
+0.00233479
+0.00265672
+0.00316549
+0.00426034
+0.00578021
+0.00763171
+0.00943858
+0.0113531
+0.0132686
+0.0151658
+0.0171332
+0.0191491
+0.0210878
+0.0230131
+0.0249821
+0.0269854
+0.0290157
+0.0310679
+0.0331378
+0.0351803
+0.0372122
+0.0392599
+0.0405159
+0.0400421
+0.0396664
+0.039403
+0.0392312
+0.0390494
+0.0389257
+0.0388889
+0.0389755
+0.0391638
+0.0394533
+0.0397805
+0.0401825
+0.0406985
+0.0413243
+0.0420551
+0.0428854
+0.0438096
+0.0447424
+0.045699
+0.0461169
+0.0465345
+0.0470505
+0.0476616
+0.0483478
+0.0491196
+0.0499756
+0.050901
+0.0518949
+0.0529472
+0.0540382
+0.0551475
+0.0562959
+0.0602651
+0.0591463
+0.0580886
+0.0570797
+0.056088
+0.0551655
+0.0543027
+0.0535116
+0.0526672
+0.0516058
+0.0506007
+0.0496703
+0.048718
+0.0477379
+0.0468399
+0.0460287
+0.0446526
+0.0425487
+0.0404541
+0.0383702
+0.0362989
+0.0342425
+0.0321963
+0.0301141
+0.0280426
+0.0259904
+0.0239627
+0.0219644
+0.019993
+0.0180571
+0.0161847
+0.0143992
+0.0127102
+0.011195
+0.00993232
+0.00893619
+0.00840016
+0.00836402
+0.00853452
+0.00711421
+0.00575488
+0.00442842
+0.00293238
+0.00161194
+0.000943337
+0.000635039
+0.000833039
+0.00126724
+0.00275057
+0.00461869
+0.00647563
+0.0084187
+0.0104333
+0.0123784
+0.0143076
+0.016229
+0.0181408
+0.0201097
+0.0221203
+0.0241622
+0.0262282
+0.0283129
+0.0303941
+0.0324299
+0.0344846
+0.0365552
+0.0386377
+0.0392745
+0.0387854
+0.0384153
+0.0381675
+0.0379539
+0.0378098
+0.0377562
+0.0377184
+0.0377803
+0.0379236
+0.0381911
+0.0385814
+0.0390385
+0.0395693
+0.0402126
+0.0409631
+0.041815
+0.0427623
+0.043747
+0.0444797
+0.0450352
+0.0454628
+0.0459907
+0.0465986
+0.0472976
+0.0480862
+0.0489434
+0.0498636
+0.0508529
+0.0519044
+0.0529672
+0.0540726
+0.0552428
+0.0590053
+0.0578622
+0.0567806
+0.0557508
+0.0547351
+0.0537895
+0.0529173
+0.0521066
+0.0512983
+0.0502822
+0.0492879
+0.0483499
+0.0474765
+0.0466896
+0.0458396
+0.0450104
+0.0442741
+0.0431781
+0.0410892
+0.0389895
+0.0368959
+0.0348142
+0.0327467
+0.030694
+0.028643
+0.0266142
+0.0246132
+0.0226474
+0.0207266
+0.0188608
+0.0170506
+0.0153396
+0.0137654
+0.01238
+0.0112377
+0.0103631
+0.00990459
+0.00985566
+0.00930068
+0.00765713
+0.00581572
+0.00423633
+0.00256313
+0.000845043
+-0.000440741
+-0.00102235
+-0.00101274
+-0.000139878
+0.00163913
+0.00353695
+0.0056021
+0.00756079
+0.00942266
+0.0113992
+0.013288
+0.015254
+0.0172741
+0.0193314
+0.0214152
+0.0235184
+0.0256363
+0.0276882
+0.0297478
+0.031825
+0.0339164
+0.0360196
+0.0373321
+0.0381186
+0.0376145
+0.0372327
+0.0369741
+0.0367439
+0.036614
+0.0365406
+0.0365167
+0.0365575
+0.0367286
+0.0370077
+0.0374104
+0.0379355
+0.0385254
+0.0391858
+0.0399556
+0.0408285
+0.0417589
+0.0425658
+0.043218
+0.0439352
+0.0444315
+0.0449923
+0.0456134
+0.0462899
+0.0470403
+0.0478793
+0.0488009
+0.0497994
+0.0508664
+0.0519241
+0.0530512
+0.0542435
+0.0578011
+0.0566337
+0.0555282
+0.0544777
+0.0534378
+0.0524688
+0.0515746
+0.0507571
+0.0499643
+0.0489205
+0.0479541
+0.047057
+0.0461791
+0.0453808
+0.0446646
+0.0440285
+0.0433254
+0.0426726
+0.0416371
+0.0395517
+0.0374732
+0.0354083
+0.0333594
+0.0313296
+0.0293231
+0.0273448
+0.0254014
+0.0234968
+0.0216307
+0.0198311
+0.0181178
+0.0165178
+0.0150671
+0.0138114
+0.0127426
+0.0119784
+0.011584
+0.0110999
+0.00986828
+0.00799863
+0.00615494
+0.0044984
+0.00245815
+0.000457092
+-0.00128283
+-0.00269581
+-0.00282158
+-0.00127165
+0.000903886
+0.00273193
+0.00454352
+0.00653829
+0.00848774
+0.0104383
+0.0124689
+0.014546
+0.0166522
+0.0187778
+0.0209168
+0.0229996
+0.0250702
+0.0271545
+0.0292518
+0.0313618
+0.0332699
+0.0343388
+0.0355108
+0.0367761
+0.0365105
+0.0360914
+0.035761
+0.0355519
+0.0353775
+0.03528
+0.0353184
+0.0354036
+0.0355796
+0.0358819
+0.036297
+0.0368379
+0.0374841
+0.0381869
+0.0389895
+0.0397727
+0.0406341
+0.0413665
+0.0420253
+0.0427625
+0.0433672
+0.0439409
+0.0445543
+0.0452232
+0.0459869
+0.0468407
+0.0477796
+0.0487971
+0.0498756
+0.0509426
+0.051875
+0.0528819
+0.056656
+0.0554645
+0.0543352
+0.0532633
+0.0522002
+0.0512078
+0.0502912
+0.0494548
+0.0484871
+0.0475644
+0.0466273
+0.0457174
+0.044896
+0.0441124
+0.043387
+0.0427496
+0.0422155
+0.0414571
+0.0407779
+0.0401666
+0.0381217
+0.0360939
+0.0340862
+0.0321024
+0.0301474
+0.0282214
+0.0263257
+0.0244792
+0.022694
+0.0209858
+0.0193749
+0.0178877
+0.0165575
+0.0153801
+0.0144242
+0.0137538
+0.0130793
+0.0123517
+0.0103601
+0.00843431
+0.00648227
+0.00432026
+0.00221535
+0.00035911
+-0.00139094
+-0.00334132
+-0.00360565
+-0.00175107
+-0.000305712
+0.00181076
+0.00383505
+0.00571179
+0.00775267
+0.00984988
+0.0119806
+0.0141297
+0.0162898
+0.018413
+0.0204787
+0.0225679
+0.0246748
+0.0267899
+0.0289136
+0.0303504
+0.0313658
+0.0324974
+0.0337335
+0.0350629
+0.0353714
+0.0349435
+0.0345959
+0.0343788
+0.0341986
+0.0340977
+0.0341082
+0.0341525
+0.0343369
+0.0346484
+0.0350781
+0.0356376
+0.0363207
+0.0370904
+0.0378906
+0.0386699
+0.0395554
+0.0402509
+0.0409152
+0.041672
+0.0423218
+0.0428652
+0.043468
+0.0441534
+0.0449353
+0.0458087
+0.0467685
+0.0478095
+0.0486484
+0.0495272
+0.0504859
+0.0515199
+0.0555738
+0.0543586
+0.0532058
+0.0521106
+0.051026
+0.050011
+0.0490721
+0.048073
+0.0470402
+0.0460885
+0.0452214
+0.0444291
+0.043584
+0.0428122
+0.0421402
+0.0415287
+0.0409261
+0.0401881
+0.0395189
+0.0389296
+0.0383953
+0.0368969
+0.0349355
+0.0329968
+0.0310835
+0.0292092
+0.0273819
+0.0256117
+0.0239112
+0.0222965
+0.0207874
+0.0194088
+0.0181637
+0.0170831
+0.0162278
+0.0154312
+0.0146914
+0.0130016
+0.011058
+0.00892012
+0.00679988
+0.00474409
+0.00288316
+0.00105976
+-0.000423355
+-0.00152726
+-0.00250999
+-0.000860448
+0.000484789
+0.00156136
+0.00339793
+0.00547524
+0.00758008
+0.00971462
+0.0118696
+0.0140357
+0.0160694
+0.0181374
+0.0202312
+0.0223437
+0.0244698
+0.0265685
+0.0274564
+0.0284196
+0.0295016
+0.0307019
+0.0320074
+0.0330123
+0.0337113
+0.0338002
+0.0334137
+0.0331613
+0.0329425
+0.0328378
+0.032879
+0.0329254
+0.0331165
+0.0334503
+0.0339047
+0.0344827
+0.0351878
+0.0359128
+0.0367258
+0.0376408
+0.0385456
+0.0392183
+0.0398945
+0.0406704
+0.0412174
+0.0417769
+0.0424401
+0.0431421
+0.043942
+0.0448347
+0.0457163
+0.0464477
+0.047266
+0.04817
+0.0491551
+0.0502165
+0.0545566
+0.0533188
+0.0521428
+0.051026
+0.0499178
+0.0488827
+0.0478043
+0.0466861
+0.0456377
+0.044657
+0.0437641
+0.0429578
+0.0422368
+0.041545
+0.0408522
+0.0402667
+0.0396521
+0.0388826
+0.0382073
+0.0376162
+0.0371262
+0.0366926
+0.0358793
+0.033987
+0.0321328
+0.0303234
+0.0285674
+0.0268754
+0.0252602
+0.0237373
+0.0223259
+0.0210354
+0.0198696
+0.0188869
+0.0179936
+0.0171024
+0.0158009
+0.0136947
+0.0116197
+0.00959631
+0.00766544
+0.00590423
+0.0040848
+0.00262749
+0.00118005
+-0.000132738
+-0.000492416
+-0.00102196
+0.000446541
+0.00226468
+0.0039954
+0.00593639
+0.00794204
+0.00997351
+0.0119514
+0.0139928
+0.0160547
+0.0181243
+0.0202195
+0.0222457
+0.0238711
+0.0246081
+0.0255093
+0.0265292
+0.0276852
+0.0289609
+0.0303414
+0.030974
+0.0317179
+0.0325924
+0.032276
+0.0320146
+0.0317869
+0.0316786
+0.0316641
+0.0317118
+0.0319101
+0.0322564
+0.0327459
+0.0333484
+0.0340578
+0.0347764
+0.0356154
+0.0365562
+0.0374874
+0.0382779
+0.0389705
+0.0397123
+0.0401734
+0.0407472
+0.041429
+0.0422019
+0.0430193
+0.0436884
+0.0443544
+0.0451042
+0.0459464
+0.0468759
+0.0478876
+0.0489765
+0.0535937
+0.0523329
+0.0511342
+0.0500028
+0.0488827
+0.0477278
+0.0465047
+0.0453544
+0.0442827
+0.0432817
+0.042361
+0.0415343
+0.0407972
+0.040157
+0.0396276
+0.0390399
+0.0384457
+0.0376461
+0.0369482
+0.036369
+0.0358636
+0.0354586
+0.0350567
+0.0344095
+0.0332933
+0.0315505
+0.0298668
+0.0282527
+0.0267208
+0.0252861
+0.0239631
+0.022737
+0.0216629
+0.0207
+0.0196935
+0.0185341
+0.016486
+0.0144798
+0.0125354
+0.0106868
+0.00889841
+0.00716666
+0.00548798
+0.00399819
+0.00269206
+0.0011793
+0.000846521
+0.000322479
+0.00136672
+0.00321591
+0.00479605
+0.00664045
+0.00844357
+0.0103149
+0.0122516
+0.01425
+0.0162688
+0.0182034
+0.0201904
+0.0211664
+0.021828
+0.0226317
+0.0235893
+0.0246885
+0.0259266
+0.0272847
+0.0283024
+0.0289579
+0.0297523
+0.0306789
+0.0311558
+0.0308858
+0.0306851
+0.0305727
+0.0305468
+0.0306027
+0.0308082
+0.0311667
+0.0316633
+0.0322837
+0.0329738
+0.0337026
+0.0345409
+0.0354947
+0.0364917
+0.0374422
+0.0381315
+0.0387161
+0.0391889
+0.0397769
+0.0404751
+0.041261
+0.0417921
+0.0423808
+0.043057
+0.0438291
+0.0446953
+0.0456503
+0.0466811
+0.0477644
+0.052704
+0.051421
+0.0502005
+0.049042
+0.0478522
+0.0465293
+0.0452738
+0.0440914
+0.0429883
+0.041955
+0.0410055
+0.0401533
+0.0394045
+0.0387583
+0.0382096
+0.0377721
+0.0373099
+0.0364984
+0.035779
+0.0351806
+0.0346796
+0.03426
+0.0339767
+0.0334821
+0.0329498
+0.0325564
+0.0312658
+0.0297278
+0.0282759
+0.0269242
+0.025658
+0.0245163
+0.0234955
+0.0224026
+0.021367
+0.0193708
+0.0174214
+0.0155364
+0.0137424
+0.0119421
+0.0101002
+0.00842122
+0.00693911
+0.00547069
+0.0041882
+0.00328129
+0.00247344
+0.00248691
+0.00289319
+0.00370438
+0.00528875
+0.00713663
+0.00905651
+0.0108879
+0.0127191
+0.0145898
+0.0165002
+0.018151
+0.0184923
+0.0190805
+0.0198165
+0.0206952
+0.0217204
+0.0229095
+0.0242387
+0.0256862
+0.026264
+0.026969
+0.0278203
+0.028798
+0.029898
+0.0298027
+0.0295876
+0.0295145
+0.0294354
+0.0295192
+0.0297441
+0.0300843
+0.0305781
+0.0312036
+0.0319216
+0.0326589
+0.0335234
+0.0345056
+0.0355317
+0.0366194
+0.0373466
+0.0378023
+0.0382052
+0.0387023
+0.0393016
+0.0400121
+0.0405416
+0.0411415
+0.0418343
+0.0426285
+0.04351
+0.0444674
+0.0455001
+0.0466029
+0.0518914
+0.0505876
+0.0493465
+0.0481491
+0.046759
+0.0454037
+0.0441154
+0.0429001
+0.0417642
+0.040703
+0.0397236
+0.0388432
+0.0380687
+0.0374066
+0.0368629
+0.0364216
+0.0360794
+0.0354364
+0.0347033
+0.0340853
+0.03357
+0.0331376
+0.0328245
+0.0326471
+0.032101
+0.0316971
+0.0314411
+0.0312868
+0.0299107
+0.0286163
+0.0274228
+0.0263464
+0.0252015
+0.0241668
+0.0223129
+0.0204094
+0.0185693
+0.0167608
+0.0148704
+0.0130741
+0.0114164
+0.00995801
+0.00844843
+0.00726872
+0.00597614
+0.00495156
+0.00452226
+0.00436678
+0.00434533
+0.00501167
+0.00629354
+0.00793077
+0.00955896
+0.0112454
+0.0130821
+0.0149786
+0.0158808
+0.015972
+0.0163588
+0.017021
+0.0178473
+0.0187942
+0.0199172
+0.0212076
+0.022637
+0.0236673
+0.0242522
+0.0250139
+0.0259246
+0.0269639
+0.0281357
+0.0287439
+0.0285412
+0.028477
+0.0283951
+0.0284799
+0.0287027
+0.0290552
+0.0295662
+0.0302138
+0.0309531
+0.0317124
+0.0326015
+0.033511
+0.034525
+0.0356449
+0.0362614
+0.0365843
+0.0369914
+0.0374902
+0.0381086
+0.0388408
+0.0393735
+0.0399802
+0.040683
+0.0414746
+0.0423648
+0.0433375
+0.044386
+0.0455007
+0.0511597
+0.0498366
+0.0485764
+0.0471605
+0.0457251
+0.0443376
+0.0430169
+0.0417694
+0.0406018
+0.0395213
+0.0385216
+0.0376131
+0.0368126
+0.0361275
+0.0355643
+0.035129
+0.0348007
+0.0344397
+0.0336989
+0.0330665
+0.0325295
+0.0320825
+0.0317614
+0.0315792
+0.0313823
+0.0309691
+0.030707
+0.0305999
+0.0306493
+0.0303672
+0.0292453
+0.0280534
+0.0269606
+0.0252923
+0.023426
+0.0216155
+0.0197038
+0.0178562
+0.016095
+0.0144517
+0.0129701
+0.01149
+0.0102001
+0.00887112
+0.0076669
+0.00689745
+0.0066511
+0.00616539
+0.00618418
+0.00673696
+0.00779878
+0.00897
+0.010354
+0.0119617
+0.0137317
+0.0139021
+0.013691
+0.0137968
+0.0142427
+0.0149986
+0.0159326
+0.0169629
+0.0181992
+0.0196031
+0.0211124
+0.0216358
+0.0222741
+0.0231012
+0.024071
+0.0251869
+0.0264376
+0.0277533
+0.0276107
+0.0275033
+0.0274553
+0.0275362
+0.0277644
+0.0281592
+0.0286861
+0.0293408
+0.0300089
+0.0308185
+0.0316429
+0.0325677
+0.0336102
+0.0347595
+0.0351018
+0.0354353
+0.0358434
+0.036358
+0.0369953
+0.0377384
+0.0382764
+0.0388706
+0.0395772
+0.0403852
+0.0412764
+0.0422624
+0.0433268
+0.0444626
+0.0505122
+0.0490336
+0.0475573
+0.0461379
+0.0447518
+0.0433552
+0.0420036
+0.0407251
+0.0395267
+0.038416
+0.0374007
+0.0364709
+0.0356449
+0.0349369
+0.0343542
+0.0339033
+0.0335895
+0.0333881
+0.0327933
+0.0321636
+0.0315891
+0.0311308
+0.0308177
+0.0306298
+0.030598
+0.0303819
+0.0301147
+0.0300055
+0.0300559
+0.0302386
+0.0304441
+0.0298146
+0.0282971
+0.0264615
+0.0245629
+0.022688
+0.0208747
+0.0191406
+0.017509
+0.0160115
+0.0145544
+0.013136
+0.011869
+0.0105528
+0.0095627
+0.00894064
+0.00858527
+0.00814429
+0.00819737
+0.00862685
+0.00929978
+0.0102556
+0.011508
+0.0129738
+0.0123433
+0.0117441
+0.0115016
+0.0116273
+0.0121532
+0.0130308
+0.0140706
+0.0152268
+0.016593
+0.0181218
+0.0191589
+0.0196386
+0.0203396
+0.021236
+0.0222787
+0.0234799
+0.0248168
+0.026182
+0.0267597
+0.0266306
+0.0266523
+0.0267183
+0.0269534
+0.0273625
+0.0279314
+0.0284683
+0.0291602
+0.0299687
+0.0307882
+0.031738
+0.0328068
+0.0338386
+0.0340438
+0.0343876
+0.0347934
+0.0353232
+0.035973
+0.0367312
+0.037227
+0.0378376
+0.0385402
+0.0393513
+0.0402654
+0.041265
+0.0423429
+0.0435044
+0.0495733
+0.0480152
+0.0465066
+0.0450542
+0.0436633
+0.0423402
+0.0410604
+0.039756
+0.0385283
+0.0373887
+0.0363456
+0.0353945
+0.0345503
+0.0338194
+0.0332171
+0.0327506
+0.0324239
+0.032216
+0.0319891
+0.0313382
+0.0307482
+0.0303055
+0.029988
+0.0298009
+0.0297682
+0.0298965
+0.0296443
+0.0295333
+0.0295846
+0.0297875
+0.0298829
+0.0298252
+0.0294351
+0.0275434
+0.0256992
+0.0239136
+0.0222007
+0.0205785
+0.0190704
+0.0175823
+0.0161326
+0.0148654
+0.0135328
+0.0123945
+0.0115589
+0.0110271
+0.0105549
+0.0102101
+0.0102654
+0.0104534
+0.0109203
+0.0117647
+0.0127205
+0.0114298
+0.0103252
+0.00960094
+0.00931284
+0.00946763
+0.0101065
+0.0111465
+0.0123165
+0.0136224
+0.0151342
+0.0162822
+0.0171583
+0.0176872
+0.0184625
+0.0194292
+0.0205636
+0.0218593
+0.0232755
+0.0247052
+0.0260133
+0.0258805
+0.0259328
+0.0260057
+0.0262473
+0.0266004
+0.0270734
+0.0276269
+0.0283394
+0.0291583
+0.0299999
+0.0309739
+0.0320682
+0.0328861
+0.0330972
+0.0334319
+0.0338415
+0.034386
+0.035052
+0.0357579
+0.0362611
+0.0368637
+0.0375834
+0.0384147
+0.0393393
+0.0403498
+0.0414515
+0.0426373
+0.048646
+0.0470676
+0.0455372
+0.0440527
+0.0426292
+0.041273
+0.0399908
+0.0387717
+0.0376247
+0.0364569
+0.0353863
+0.0344088
+0.0335398
+0.0327863
+0.0321647
+0.0316827
+0.0313449
+0.0311298
+0.0310681
+0.0306371
+0.0300439
+0.0295907
+0.0292852
+0.0291055
+0.0290721
+0.0292034
+0.0293275
+0.0292153
+0.0292671
+0.0294722
+0.0294743
+0.0294158
+0.0295138
+0.028729
+0.026966
+0.02527
+0.0236555
+0.0221402
+0.0206152
+0.0191329
+0.0177975
+0.0165562
+0.0153296
+0.0143179
+0.0135419
+0.0130252
+0.0125977
+0.0123191
+0.0122278
+0.0123062
+0.0127052
+0.012885
+0.0112758
+0.00972067
+0.00839413
+0.0074853
+0.00712524
+0.00732639
+0.00813518
+0.00939582
+0.0107243
+0.0122018
+0.0134996
+0.01434
+0.0152043
+0.0157987
+0.016662
+0.0177092
+0.0189469
+0.0203458
+0.021822
+0.0233408
+0.0249597
+0.0252978
+0.0253513
+0.0254289
+0.0255672
+0.0258908
+0.026306
+0.0268753
+0.0275816
+0.0283384
+0.0292037
+0.0302033
+0.0313162
+0.032046
+0.0322626
+0.0325865
+0.0330066
+0.0335647
+0.0342467
+0.034889
+0.0353796
+0.0359958
+0.0367325
+0.0375708
+0.0385031
+0.0395349
+0.0406587
+0.041867
+0.0478011
+0.0461939
+0.0446363
+0.0431337
+0.0416816
+0.0402939
+0.0389799
+0.0377473
+0.0365902
+0.0355193
+0.0345284
+0.0335374
+0.0326452
+0.0318706
+0.0312307
+0.0307341
+0.0303858
+0.0301638
+0.0301001
+0.0299908
+0.0294751
+0.0290239
+0.0287125
+0.0285433
+0.0285275
+0.0286613
+0.0289587
+0.0290594
+0.0291115
+0.0293177
+0.0292166
+0.0291575
+0.0292327
+0.0294694
+0.0283456
+0.0267373
+0.0251978
+0.0235969
+0.0220975
+0.0207216
+0.0194953
+0.0182335
+0.0170776
+0.0161378
+0.0154534
+0.015
+0.014541
+0.0143767
+0.0141432
+0.0142221
+0.0131175
+0.011762
+0.00996269
+0.00818854
+0.00662655
+0.00542949
+0.00494036
+0.00522629
+0.00631025
+0.0077869
+0.00936677
+0.0108382
+0.01151
+0.0124804
+0.013324
+0.0139985
+0.014952
+0.0161039
+0.0174558
+0.018965
+0.0204999
+0.0221097
+0.0238125
+0.0248802
+0.0248576
+0.0248723
+0.0250137
+0.0252974
+0.0257029
+0.0262584
+0.0269037
+0.0276525
+0.0285386
+0.0295607
+0.0306732
+0.031287
+0.0315088
+0.0318695
+0.0322989
+0.032869
+0.0335652
+0.0341129
+0.0346132
+0.0352428
+0.0359825
+0.0368248
+0.0377755
+0.0388267
+0.0399703
+0.0411989
+0.0470068
+0.0453799
+0.0438021
+0.0422791
+0.0408102
+0.0393917
+0.0380465
+0.0367828
+0.035609
+0.0345345
+0.0335515
+0.0326468
+0.0318673
+0.0310825
+0.0304261
+0.0299161
+0.0295581
+0.0293167
+0.0292194
+0.0292861
+0.0289689
+0.0285967
+0.0282929
+0.0281265
+0.0281249
+0.028279
+0.0285824
+0.029026
+0.0291203
+0.0293214
+0.0290981
+0.0290387
+0.0291024
+0.0289947
+0.0289835
+0.0282056
+0.0266053
+0.0250944
+0.02369
+0.022412
+0.0211192
+0.0199276
+0.0188857
+0.0180403
+0.0173296
+0.0167911
+0.0163885
+0.0162671
+0.0148909
+0.0132552
+0.0117178
+0.0101787
+0.00888399
+0.00696575
+0.00511364
+0.00353941
+0.0027604
+0.00324816
+0.00469566
+0.00652599
+0.00819492
+0.00882623
+0.00959995
+0.0106379
+0.0115452
+0.0123174
+0.0133747
+0.0146511
+0.0161252
+0.0177452
+0.0193362
+0.0210353
+0.0227097
+0.024453
+0.0245208
+0.0244688
+0.0246125
+0.0248635
+0.0252289
+0.0257326
+0.0263681
+0.0271195
+0.0280224
+0.0290628
+0.0298529
+0.0306061
+0.0308922
+0.0312707
+0.031727
+0.0323072
+0.0330066
+0.0334611
+0.033971
+0.0345993
+0.0353389
+0.0361962
+0.037163
+0.038231
+0.039392
+0.040638
+0.0462712
+0.0446383
+0.0430421
+0.0414911
+0.0400001
+0.0385758
+0.0372189
+0.035926
+0.0347234
+0.0336205
+0.0326179
+0.0317033
+0.0309
+0.0302326
+0.029684
+0.0292284
+0.0288275
+0.0285612
+0.0284613
+0.0285297
+0.0285665
+0.0282515
+0.0280082
+0.0278707
+0.0278745
+0.0280445
+0.0283557
+0.0288253
+0.0292933
+0.0293672
+0.0291442
+0.0288551
+0.0285417
+0.0283618
+0.0283504
+0.0284827
+0.0281133
+0.0266879
+0.0253718
+0.0240366
+0.022787
+0.0216872
+0.0207387
+0.019832
+0.0191343
+0.0186479
+0.0170027
+0.0153903
+0.0136326
+0.0119346
+0.010295
+0.0088164
+0.00733071
+0.00617522
+0.00408352
+0.00208501
+0.000580917
+0.00163069
+0.00351655
+0.00526079
+0.00625975
+0.00686579
+0.00782328
+0.00881092
+0.00990644
+0.0107966
+0.0119916
+0.0134004
+0.0149916
+0.0166737
+0.018329
+0.0199797
+0.0217256
+0.0235419
+0.0243088
+0.0242238
+0.0242926
+0.0245314
+0.0248741
+0.0253661
+0.0259939
+0.0267558
+0.027668
+0.0283653
+0.0289989
+0.0297675
+0.0304213
+0.0308055
+0.0312984
+0.031886
+0.0325641
+0.0329424
+0.0334467
+0.0340707
+0.0348215
+0.0356912
+0.0366713
+0.0377533
+0.0389285
+0.0401889
+0.0456169
+0.0439597
+0.042351
+0.0407966
+0.0392886
+0.0378376
+0.0364606
+0.0351662
+0.0339561
+0.0328275
+0.0317996
+0.0308611
+0.0300352
+0.02935
+0.0288136
+0.0284068
+0.0281637
+0.0279415
+0.0278393
+0.0279093
+0.0281501
+0.0280323
+0.0278293
+0.0277551
+0.0277896
+0.0279656
+0.0282776
+0.0287484
+0.029374
+0.0293792
+0.0287414
+0.0282575
+0.0279375
+0.0277649
+0.0277532
+0.0279141
+0.0282444
+0.0283611
+0.0269943
+0.0257019
+0.0245372
+0.0234715
+0.0224833
+0.0216498
+0.0197018
+0.017797
+0.0159656
+0.0142362
+0.0124673
+0.0106098
+0.00890103
+0.00725805
+0.00582619
+0.00451814
+0.00332477
+0.00153761
+-0.000576683
+0.000596692
+0.00228182
+0.00344983
+0.00412668
+0.00495087
+0.0059733
+0.00713646
+0.00834239
+0.00950868
+0.0108543
+0.0123882
+0.013994
+0.0157189
+0.0173736
+0.0191065
+0.0209254
+0.0228055
+0.0242176
+0.0240938
+0.0241428
+0.024326
+0.0246348
+0.0251315
+0.0257419
+0.0264074
+0.0271271
+0.0276352
+0.0282827
+0.0290703
+0.0299737
+0.030491
+0.0310188
+0.0315989
+0.0321793
+0.0325492
+0.0330451
+0.0336765
+0.034436
+0.0353152
+0.0363054
+0.0373979
+0.038584
+0.0398553
+0.0450598
+0.0433813
+0.0417503
+0.0401726
+0.0386547
+0.037204
+0.0358129
+0.0344942
+0.0332676
+0.0321392
+0.0311031
+0.0301548
+0.029309
+0.0286064
+0.0280576
+0.0276632
+0.0274135
+0.0273375
+0.0273613
+0.0274324
+0.0276774
+0.0278503
+0.0277889
+0.0277481
+0.0278464
+0.0280524
+0.028369
+0.0288383
+0.0294634
+0.0289279
+0.0283022
+0.0278106
+0.0274854
+0.0273195
+0.0273077
+0.0274711
+0.0278067
+0.0283084
+0.0286552
+0.027441
+0.0262769
+0.025208
+0.0231348
+0.0210854
+0.0190675
+0.0170921
+0.0151759
+0.0133445
+0.0115982
+0.00957868
+0.00764734
+0.00590005
+0.00430461
+0.00291575
+0.0014218
+0.000459285
+-0.00102858
+-0.000811732
+0.000421712
+0.001645
+0.00208177
+0.00331614
+0.004365
+0.00567191
+0.00698423
+0.00833037
+0.00996388
+0.0114676
+0.013159
+0.0149564
+0.0166527
+0.0184533
+0.0203307
+0.0222611
+0.0242181
+0.0241423
+0.0241542
+0.0242796
+0.024589
+0.0249474
+0.0254456
+0.0261171
+0.0265303
+0.0270496
+0.0277035
+0.0285071
+0.0294126
+0.0303319
+0.0308731
+0.031462
+0.0319129
+0.0322811
+0.0327811
+0.0334175
+0.0341827
+0.0350682
+0.0360653
+0.0371648
+0.0383581
+0.039634
+0.0445977
+0.042907
+0.0412573
+0.03966
+0.0381217
+0.0366498
+0.0352527
+0.033938
+0.0326906
+0.0315461
+0.0305151
+0.029552
+0.0287208
+0.0280148
+0.0274542
+0.027051
+0.0267955
+0.0267178
+0.0268194
+0.0270804
+0.0273724
+0.0277776
+0.0278359
+0.0278803
+0.0280114
+0.028279
+0.0286253
+0.0290933
+0.0293925
+0.0286362
+0.028004
+0.0275071
+0.0271782
+0.0270235
+0.0270208
+0.0271859
+0.027525
+0.0280317
+0.0286856
+0.0289886
+0.0269884
+0.0248774
+0.0227815
+0.0207052
+0.0186551
+0.0166408
+0.0146736
+0.012631
+0.0105905
+0.00862401
+0.00679608
+0.00485725
+0.00308545
+0.00162524
+0.000185284
+-0.00152262
+-0.00242859
+-0.00249285
+-0.000701991
+-0.000103706
+0.00054348
+0.00176524
+0.00330911
+0.0046527
+0.00608509
+0.00754512
+0.00929121
+0.0108825
+0.0126524
+0.01439
+0.0161973
+0.0180442
+0.019908
+0.0218106
+0.023752
+0.0243516
+0.0243058
+0.0243498
+0.0245047
+0.0248174
+0.0253165
+0.0256313
+0.0259672
+0.0264626
+0.0271264
+0.0279466
+0.0289099
+0.0299778
+0.0308718
+0.0314621
+0.031777
+0.0321358
+0.032638
+0.0332771
+0.0340454
+0.0349345
+0.0359352
+0.0370386
+0.0382359
+0.0395156
+0.0441882
+0.0424972
+0.0408536
+0.0392631
+0.0377086
+0.03622
+0.0348056
+0.033475
+0.0322321
+0.0310861
+0.0300412
+0.029081
+0.028236
+0.0275391
+0.0269896
+0.0266056
+0.0263458
+0.0262668
+0.0263701
+0.0266426
+0.0270647
+0.0276013
+0.0279355
+0.0281419
+0.0283124
+0.0286098
+0.0290159
+0.0295064
+0.0292183
+0.0284718
+0.0278753
+0.0273761
+0.0270456
+0.0268901
+0.0268874
+0.0270533
+0.027394
+0.0279031
+0.02856
+0.0288727
+0.0268223
+0.0247325
+0.0226231
+0.0205308
+0.0184613
+0.0163995
+0.0142462
+0.0121064
+0.00996982
+0.00784934
+0.00578146
+0.00385183
+0.00205472
+0.000149681
+-0.00144453
+-0.0028178
+-0.00408149
+-0.00374673
+-0.00263168
+-0.0019328
+-0.000212721
+0.000996217
+0.00273268
+0.00446471
+0.00579792
+0.00728078
+0.00888041
+0.0105425
+0.0121895
+0.0139395
+0.0157985
+0.0177013
+0.0195849
+0.0215161
+0.0234818
+0.024697
+0.0244675
+0.0243903
+0.0245094
+0.0248221
+0.0250628
+0.0252166
+0.0255393
+0.0260428
+0.0267171
+0.0275494
+0.0285218
+0.0295976
+0.0307917
+0.0315702
+0.0317806
+0.0321394
+0.0326416
+0.0332806
+0.0340489
+0.0349378
+0.0359385
+0.0370418
+0.0382389
+0.0395186
+0.0438783
+0.0421748
+0.0405182
+0.0389144
+0.0373703
+0.0358935
+0.0344921
+0.0331489
+0.0318931
+0.0307346
+0.0296926
+0.0287548
+0.0278999
+0.027195
+0.026652
+0.0262689
+0.0260631
+0.0259931
+0.0260976
+0.0263729
+0.0267992
+0.0273628
+0.0280117
+0.0284129
+0.0287698
+0.0290701
+0.0295228
+0.0297176
+0.0289144
+0.0282586
+0.0277516
+0.027386
+0.02709
+0.0269348
+0.0269321
+0.0270977
+0.0274379
+0.0279462
+0.0285927
+0.028862
+0.0268173
+0.024781
+0.0226762
+0.0205893
+0.0184259
+0.0162458
+0.0140691
+0.0118974
+0.00973429
+0.00758102
+0.00543419
+0.00334471
+0.00133504
+-0.000730326
+-0.00270694
+-0.00434725
+-0.00588619
+-0.00553407
+-0.00423856
+-0.00231669
+-0.000610966
+0.000851979
+0.00280497
+0.00455546
+0.00592605
+0.00718977
+0.00876517
+0.0103813
+0.0119952
+0.0137684
+0.0156477
+0.0175992
+0.019504
+0.0214425
+0.0234143
+0.0249371
+0.0246676
+0.024591
+0.0247092
+0.0247905
+0.0248201
+0.0249563
+0.0252823
+0.0257908
+0.0264715
+0.0273114
+0.0282703
+0.0293551
+0.0305586
+0.0317255
+0.031935
+0.032292
+0.0327918
+0.033428
+0.0341929
+0.0350782
+0.036075
+0.0371743
+0.0383667
+0.0396242
+0.043666
+0.0419645
+0.0402992
+0.0386864
+0.0371327
+0.0356461
+0.0342352
+0.0329097
+0.0316702
+0.0305149
+0.0294722
+0.0285344
+0.0277062
+0.0270125
+0.0264702
+0.0260966
+0.0259011
+0.0258785
+0.0259855
+0.0262733
+0.0267114
+0.0272767
+0.0280025
+0.0286749
+0.0291998
+0.0296836
+0.0301288
+0.029461
+0.0286606
+0.0279988
+0.0274961
+0.0271613
+0.0269421
+0.0268898
+0.0270035
+0.027271
+0.0276157
+0.0280877
+0.0287188
+0.0290053
+0.0269715
+0.0248425
+0.0227093
+0.0205882
+0.0184833
+0.0163282
+0.0141799
+0.0120468
+0.00993886
+0.00786703
+0.00580197
+0.00369147
+0.00160632
+-0.000541311
+-0.00269272
+-0.0048176
+-0.00697786
+-0.00708875
+-0.00524674
+-0.00340823
+-0.00166382
+0.000411077
+0.00235351
+0.00431749
+0.00637035
+0.00762948
+0.00912487
+0.010601
+0.0121847
+0.0139338
+0.0157934
+0.0177244
+0.0196194
+0.0211273
+0.0224284
+0.0238574
+0.0250583
+0.024983
+0.024784
+0.0246454
+0.0246971
+0.0248619
+0.0251891
+0.0256995
+0.0263825
+0.0272252
+0.028187
+0.0292749
+0.0304816
+0.0317936
+0.0322377
+0.0325915
+0.0330868
+0.0337174
+0.0344759
+0.0353541
+0.0363433
+0.0374312
+0.038595
+0.0398445
+0.0430157
+0.041847
+0.0401856
+0.0385772
+0.0370235
+0.0355323
+0.0341167
+0.0327864
+0.0315523
+0.0304154
+0.0293775
+0.0284574
+0.0276269
+0.0269494
+0.0264276
+0.0260623
+0.025869
+0.0258604
+0.0260198
+0.026331
+0.0267752
+0.0273646
+0.0280882
+0.0289546
+0.0296485
+0.0302846
+0.0302746
+0.0293549
+0.0285515
+0.0278871
+0.0273824
+0.0270462
+0.0268606
+0.0268081
+0.0269342
+0.0272246
+0.027664
+0.0282668
+0.0289966
+0.028899
+0.0267305
+0.0245659
+0.0224064
+0.0202535
+0.0181098
+0.0159788
+0.0138665
+0.0117665
+0.00969324
+0.00766763
+0.00553759
+0.00344554
+0.00143217
+-0.000678671
+-0.00281816
+-0.0049751
+-0.00715182
+-0.00819665
+-0.00624993
+-0.00420942
+-0.00233749
+-0.000405307
+0.00167303
+0.00359323
+0.00561196
+0.00771459
+0.00948235
+0.0111008
+0.0127533
+0.0144336
+0.0161482
+0.0175391
+0.0187465
+0.0199819
+0.0213599
+0.0228559
+0.0244568
+0.0251371
+0.0248078
+0.0246693
+0.024721
+0.0249322
+0.0252861
+0.0257946
+0.0264752
+0.0273149
+0.0282737
+0.0293584
+0.0305618
+0.0318489
+0.0326849
+0.0330338
+0.0335226
+0.0341451
+0.0348944
+0.0357623
+0.0367182
+0.0377334
+0.0388137
+0.0399849
+0.0424285
+0.0418023
+0.0401742
+0.0385652
+0.0370159
+0.0355342
+0.0341288
+0.0328009
+0.0315674
+0.0304417
+0.0294153
+0.0285095
+0.027721
+0.0270458
+0.0265348
+0.0261919
+0.0259995
+0.025991
+0.0261553
+0.0264881
+0.0269952
+0.0275948
+0.0283124
+0.0291773
+0.0301515
+0.0308862
+0.0302728
+0.0293553
+0.0285743
+0.0279437
+0.0274436
+0.0271082
+0.0269472
+0.0269051
+0.0270308
+0.0273321
+0.0277904
+0.0283906
+0.029124
+0.0288285
+0.0266542
+0.0244829
+0.0223154
+0.0201528
+0.0179971
+0.015851
+0.0137189
+0.0116088
+0.00951669
+0.00746473
+0.00538259
+0.00323291
+0.00108377
+-0.000916144
+-0.00302083
+-0.00518704
+-0.00736775
+-0.00897581
+-0.00701972
+-0.00508747
+-0.00293375
+-0.000801429
+0.00121335
+0.00321398
+0.00526325
+0.0071842
+0.00874991
+0.0104821
+0.0122161
+0.0137799
+0.0151732
+0.0165184
+0.0177184
+0.0190208
+0.0204636
+0.0220206
+0.0235311
+0.0250389
+0.0247278
+0.024589
+0.0246321
+0.0248441
+0.0252451
+0.0258264
+0.0265492
+0.0274205
+0.0284343
+0.0295629
+0.0307282
+0.0320012
+0.0332705
+0.0336134
+0.0340938
+0.0346897
+0.0353486
+0.036105
+0.0369738
+0.0379494
+0.0390237
+0.0401889
+0.0419155
+0.0413086
+0.040266
+0.0386607
+0.0371154
+0.0356379
+0.0342368
+0.0329132
+0.0316841
+0.0305627
+0.0295614
+0.0286927
+0.0279468
+0.0272915
+0.0267852
+0.0264512
+0.026296
+0.0262916
+0.0264652
+0.0268009
+0.0273022
+0.0279665
+0.0287024
+0.0295559
+0.0305256
+0.0314029
+0.0303901
+0.0294805
+0.0287032
+0.0280755
+0.0276078
+0.0273083
+0.0271796
+0.027162
+0.0273033
+0.0276016
+0.0280562
+0.0286508
+0.029397
+0.0289242
+0.0267577
+0.0245955
+0.0224389
+0.0202895
+0.01815
+0.0160244
+0.013919
+0.0118445
+0.00979722
+0.00767477
+0.00554845
+0.00350019
+0.00154559
+-0.000544173
+-0.00260493
+-0.00469867
+-0.00685198
+-0.00827806
+-0.00706335
+-0.0050579
+-0.00301086
+-0.00100672
+0.00102512
+0.00295934
+0.0049551
+0.00666681
+0.00839179
+0.0100077
+0.0114855
+0.0128006
+0.0142742
+0.0156204
+0.016853
+0.0182437
+0.0197448
+0.0212662
+0.022758
+0.0242955
+0.024657
+0.0245177
+0.0245737
+0.0248031
+0.0251885
+0.0257551
+0.0264778
+0.0273514
+0.0283628
+0.0294757
+0.0307047
+0.0320366
+0.033459
+0.0341941
+0.0345861
+0.0350902
+0.0357158
+0.0364626
+0.0372736
+0.0381929
+0.0392132
+0.0403268
+0.0414736
+0.0408657
+0.0403677
+0.0388797
+0.0373435
+0.0358753
+0.0344837
+0.0331702
+0.0319509
+0.0308392
+0.0298472
+0.028987
+0.0282538
+0.0276252
+0.0271592
+0.0268395
+0.0266866
+0.0267131
+0.0269185
+0.027273
+0.027779
+0.0284264
+0.0292191
+0.0300896
+0.0310446
+0.0316428
+0.030638
+0.0297376
+0.0289751
+0.0283618
+0.0279016
+0.0276053
+0.0274809
+0.0275066
+0.0276631
+0.0279908
+0.0284837
+0.0290736
+0.0298093
+0.0291845
+0.0270389
+0.0249011
+0.0227734
+0.0206589
+0.0185621
+0.0164896
+0.0143979
+0.0123164
+0.0102793
+0.00830314
+0.00638026
+0.00420278
+0.0020275
+-0.000141186
+-0.00231987
+-0.00415122
+-0.0054896
+-0.00667866
+-0.00590022
+-0.00468349
+-0.00285326
+-0.000892678
+0.00103028
+0.00291002
+0.00464052
+0.00636289
+0.00813708
+0.00952455
+0.0107463
+0.0121418
+0.0135501
+0.0148629
+0.016187
+0.0176302
+0.0190828
+0.0205587
+0.022032
+0.0236136
+0.0247752
+0.0246366
+0.0246923
+0.0249206
+0.0252955
+0.0258397
+0.0265541
+0.0274252
+0.0284329
+0.0295432
+0.0307695
+0.0320987
+0.0335185
+0.0347165
+0.0350231
+0.0354628
+0.0360304
+0.0367202
+0.0375085
+0.0383739
+0.0393424
+0.0404065
+0.0411437
+0.0405308
+0.0400287
+0.039214
+0.0376858
+0.0362256
+0.034842
+0.0335446
+0.0323436
+0.0312503
+0.0302718
+0.0294241
+0.0287188
+0.0281025
+0.0276446
+0.027355
+0.0272304
+0.0272563
+0.0274576
+0.0278228
+0.0283277
+0.0289898
+0.0297953
+0.0307091
+0.0316922
+0.0320311
+0.0310389
+0.0301505
+0.0293987
+0.0287874
+0.0283313
+0.0280395
+0.0279171
+0.0279662
+0.0281583
+0.0284802
+0.0289648
+0.0295875
+0.0303252
+0.0294979
+0.0274489
+0.0253734
+0.0233031
+0.0212335
+0.0191432
+0.0170781
+0.0150485
+0.0130704
+0.0108803
+0.00869045
+0.00650123
+0.00431349
+0.00213117
+-4.74261e-05
+-0.00133339
+-0.00260348
+-0.00389185
+-0.00503059
+-0.00456553
+-0.0033812
+-0.00262023
+-0.00102182
+0.000864101
+0.0028026
+0.00448251
+0.00639384
+0.0079692
+0.0092249
+0.0103947
+0.0117108
+0.0130089
+0.0143207
+0.0156902
+0.0170887
+0.0185203
+0.0199936
+0.0215056
+0.0231093
+0.0246731
+0.024948
+0.0249789
+0.025188
+0.0255626
+0.0261012
+0.0268086
+0.0276717
+0.0286708
+0.0297722
+0.0309895
+0.0323096
+0.0337205
+0.0351236
+0.0354088
+0.0357919
+0.0363033
+0.0369378
+0.0376892
+0.0385505
+0.0394473
+0.0404396
+0.0409204
+0.0403041
+0.0397991
+0.0394095
+0.0381384
+0.0366963
+0.0353312
+0.0340516
+0.0328651
+0.0317854
+0.0308238
+0.0299917
+0.0292907
+0.028715
+0.028267
+0.0279838
+0.0278705
+0.0279291
+0.0281319
+0.0284957
+0.0290208
+0.0296699
+0.0304606
+0.0313847
+0.0324274
+0.0325001
+0.0315176
+0.0306605
+0.0299216
+0.02932
+0.0288725
+0.0285863
+0.0284663
+0.0285145
+0.0287014
+0.0290494
+0.029556
+0.0301927
+0.0309453
+0.0297428
+0.0277102
+0.0257014
+0.0237172
+0.0217101
+0.0197421
+0.0175822
+0.0154066
+0.0132359
+0.0110731
+0.00892389
+0.00680125
+0.00473641
+0.00283003
+0.00139227
+0.000300269
+-0.000947505
+-0.0022501
+-0.00360793
+-0.00329929
+-0.00187678
+-0.000958338
+-0.000307504
+0.000933462
+0.00272681
+0.00449095
+0.00638022
+0.0081046
+0.00920571
+0.0102975
+0.0115458
+0.0127333
+0.0140336
+0.0153672
+0.0167312
+0.0181548
+0.0195914
+0.0211028
+0.0225705
+0.0241211
+0.0252709
+0.0253253
+0.0255352
+0.0259255
+0.0264723
+0.02717
+0.028022
+0.0290148
+0.0301327
+0.031336
+0.0326421
+0.0340393
+0.0354864
+0.0357346
+0.0361142
+0.0366015
+0.0371558
+0.037829
+0.0386149
+0.0395068
+0.0403152
+0.0407762
+0.0401578
+0.0396509
+0.0392598
+0.03871
+0.0372884
+0.035942
+0.0346818
+0.0335176
+0.0324596
+0.0315186
+0.0307053
+0.0300001
+0.0294404
+0.0290335
+0.0287579
+0.0286476
+0.0287046
+0.0289278
+0.0292895
+0.0298006
+0.030461
+0.0312613
+0.0321634
+0.0331848
+0.0330848
+0.0321203
+0.0312797
+0.0305732
+0.0299873
+0.0295499
+0.0292703
+0.0291531
+0.0292002
+0.0293935
+0.0297333
+0.0302285
+0.0308624
+0.0316218
+0.0301352
+0.028131
+0.0261546
+0.024215
+0.0222224
+0.0200715
+0.0179303
+0.0158027
+0.0136949
+0.0116179
+0.00959156
+0.00765631
+0.00582613
+0.00431392
+0.00317404
+0.00198219
+0.000657019
+-0.000769894
+-0.00222866
+-0.00218944
+-0.000725557
+0.00070392
+0.00114551
+0.00175988
+0.00282584
+0.00439005
+0.00602
+0.00771107
+0.00949324
+0.010517
+0.0115569
+0.0127515
+0.014011
+0.0153466
+0.016618
+0.0179387
+0.0193189
+0.0204942
+0.0218093
+0.0232568
+0.0247416
+0.025821
+0.026059
+0.0264451
+0.0270006
+0.0276998
+0.028536
+0.0295114
+0.0306128
+0.0318256
+0.0331124
+0.0344905
+0.0358823
+0.0360693
+0.0363687
+0.0367962
+0.0373303
+0.0378048
+0.0383986
+0.0390983
+0.0398906
+0.0407495
+0.0401307
+0.0396234
+0.0392321
+0.0389602
+0.0379754
+0.0366543
+0.0354194
+0.0342803
+0.0332466
+0.0323285
+0.0315361
+0.0308491
+0.0303051
+0.0299121
+0.0296738
+0.029567
+0.0296222
+0.0298386
+0.0302108
+0.0307067
+0.0313482
+0.0321265
+0.0330321
+0.0340547
+0.0338017
+0.0328582
+0.032037
+0.0313476
+0.0307764
+0.0303504
+0.0300782
+0.0299642
+0.0300101
+0.0302151
+0.0305535
+0.031019
+0.0316297
+0.0323774
+0.0305975
+0.028678
+0.0267549
+0.0248266
+0.0227111
+0.0206113
+0.0185326
+0.0164829
+0.0144745
+0.0125274
+0.0106508
+0.00888408
+0.00734926
+0.00603896
+0.00489847
+0.00361973
+0.00218032
+0.000436443
+-0.000815998
+-0.000951135
+0.000322011
+0.00192091
+0.00291662
+0.00309651
+0.00373064
+0.0048959
+0.00619682
+0.00780515
+0.00954737
+0.0109349
+0.0119095
+0.012939
+0.0142081
+0.015306
+0.0160923
+0.0170754
+0.018111
+0.0193403
+0.0207288
+0.0222461
+0.0237592
+0.0253515
+0.0266478
+0.0270687
+0.0276259
+0.028328
+0.029178
+0.0301367
+0.031216
+0.0324077
+0.0336998
+0.0350731
+0.0362326
+0.0363538
+0.036448
+0.036673
+0.0370264
+0.0375047
+0.0380951
+0.0387844
+0.039583
+0.0408405
+0.040223
+0.039717
+0.0393266
+0.0390554
+0.0387736
+0.0374806
+0.0362739
+0.0351624
+0.0341554
+0.0332624
+0.0324876
+0.031821
+0.0312939
+0.0309135
+0.030685
+0.0305866
+0.03064
+0.0308493
+0.0312112
+0.0317178
+0.0323392
+0.0330943
+0.0339741
+0.0349691
+0.0346426
+0.0337226
+0.0329229
+0.0322524
+0.0316976
+0.0312841
+0.0310202
+0.0309096
+0.0309541
+0.0311529
+0.0314812
+0.0319332
+0.0325267
+0.0325809
+0.0310194
+0.0292422
+0.02744
+0.0254138
+0.023386
+0.0213632
+0.0193653
+0.0174139
+0.0155215
+0.0136828
+0.0119627
+0.0104099
+0.00899348
+0.00773644
+0.00660201
+0.00510265
+0.00335507
+0.00168285
+0.000541581
+0.000385584
+0.00129268
+0.00287634
+0.00455579
+0.00469439
+0.0050029
+0.00587917
+0.00702895
+0.0083463
+0.00989955
+0.0114978
+0.0124015
+0.012879
+0.0134358
+0.0140343
+0.0148495
+0.0159013
+0.0170585
+0.0183583
+0.0198158
+0.0213687
+0.022924
+0.0245705
+0.0262964
+0.0277675
+0.0283336
+0.0290399
+0.0298697
+0.030833
+0.0319089
+0.0330756
+0.0343426
+0.0356992
+0.0362125
+0.0361746
+0.0362692
+0.0364953
+0.0368505
+0.0373229
+0.0378997
+0.0385924
+0.0393949
+0.0410483
+0.0404341
+0.0399307
+0.0395424
+0.0392727
+0.0391239
+0.0384142
+0.0372378
+0.036156
+0.0351774
+0.0343111
+0.0335536
+0.0329087
+0.0323993
+0.0320319
+0.0318115
+0.0317238
+0.0317753
+0.0319771
+0.0323265
+0.0328186
+0.0334395
+0.0341753
+0.0350279
+0.0359938
+0.0355836
+0.0346797
+0.0338935
+0.0332334
+0.032707
+0.0323129
+0.0320574
+0.0319504
+0.0319935
+0.0321859
+0.0325059
+0.0329665
+0.0329576
+0.0312848
+0.0296666
+0.0281139
+0.0266273
+0.0252317
+0.0239249
+0.0220809
+0.0201939
+0.0183489
+0.0165789
+0.0149051
+0.0133379
+0.0118526
+0.0105731
+0.00957579
+0.00800357
+0.00627936
+0.00448793
+0.00290601
+0.00182802
+0.00168478
+0.00237018
+0.00375003
+0.00551062
+0.00640526
+0.00658076
+0.00730477
+0.00806304
+0.00916955
+0.0104631
+0.010957
+0.0111759
+0.0115332
+0.0121416
+0.0128914
+0.0137484
+0.0148618
+0.0161706
+0.0175925
+0.0191084
+0.0206695
+0.0222671
+0.0239443
+0.025699
+0.0275162
+0.0291146
+0.0298128
+0.030652
+0.0316209
+0.03268
+0.0338476
+0.0350957
+0.0363122
+0.0361473
+0.0361093
+0.0362041
+0.0364306
+0.0367864
+0.0372524
+0.0378303
+0.0385243
+0.0393282
+0.0413384
+0.0407619
+0.0402626
+0.0398775
+0.0396101
+0.0394626
+0.0394224
+0.0383029
+0.037252
+0.036303
+0.0354641
+0.0347253
+0.0341025
+0.0336112
+0.0332573
+0.033045
+0.0329675
+0.0330171
+0.0332113
+0.0335478
+0.0340223
+0.0346216
+0.0353384
+0.0361739
+0.0371197
+0.0365446
+0.0356651
+0.0349012
+0.0342605
+0.0337501
+0.0333648
+0.0331174
+0.0330139
+0.0330555
+0.0332418
+0.0335552
+0.0335763
+0.0318202
+0.0300849
+0.0284026
+0.0267932
+0.0252543
+0.0237941
+0.0224351
+0.0211669
+0.0200171
+0.0189545
+0.0176811
+0.0161221
+0.014698
+0.0134133
+0.0122483
+0.0108369
+0.00898693
+0.00716402
+0.00553998
+0.00415289
+0.00308306
+0.00290801
+0.00357897
+0.0048202
+0.00641121
+0.00815448
+0.00837164
+0.00877729
+0.00936927
+0.0094182
+0.00902061
+0.00893711
+0.00930029
+0.0101312
+0.0109526
+0.0119591
+0.0128776
+0.0140488
+0.0154268
+0.0169641
+0.018545
+0.0201375
+0.0217755
+0.0234879
+0.0252742
+0.0271199
+0.0290126
+0.0307127
+0.0315279
+0.0324707
+0.0335304
+0.0346696
+0.0359062
+0.0363719
+0.0362073
+0.0361694
+0.036264
+0.0364901
+0.0368453
+0.0373107
+0.0378877
+0.0385806
+0.0393833
+0.0417063
+0.041147
+0.0406852
+0.0403042
+0.0400396
+0.0398937
+0.0398679
+0.039449
+0.0384284
+0.0375081
+0.0366955
+0.0359735
+0.0353727
+0.0348993
+0.0345585
+0.0343544
+0.0342892
+0.0343494
+0.0345362
+0.0348599
+0.0353168
+0.0358986
+0.0365904
+0.0373979
+0.0383138
+0.0376089
+0.0367548
+0.036014
+0.0353935
+0.034899
+0.0345238
+0.0342848
+0.0341848
+0.034225
+0.034405
+0.0344435
+0.0326075
+0.0307959
+0.0290012
+0.027252
+0.025571
+0.0239724
+0.022458
+0.0210356
+0.0196941
+0.0184883
+0.0174021
+0.0164807
+0.0157924
+0.0153295
+0.0150687
+0.0136069
+0.0117554
+0.0099932
+0.00834952
+0.00674731
+0.00542418
+0.00456032
+0.00436112
+0.00487442
+0.00589323
+0.00731266
+0.00898583
+0.0100777
+0.00978246
+0.00846031
+0.0074195
+0.006936
+0.00699643
+0.00747581
+0.00843394
+0.0097554
+0.0109846
+0.0123036
+0.0135199
+0.0149304
+0.0164984
+0.0181289
+0.0197892
+0.0214616
+0.0232082
+0.0250085
+0.0268668
+0.0287719
+0.0307152
+0.0325281
+0.0334427
+0.0344724
+0.0356073
+0.0367936
+0.0365197
+0.0363759
+0.0363447
+0.0364389
+0.036664
+0.0370175
+0.0374959
+0.0380712
+0.0387609
+0.0395599
+0.042164
+0.0416109
+0.041167
+0.0408232
+0.040562
+0.040418
+0.0403925
+0.0404856
+0.0396804
+0.0387898
+0.0380046
+0.037308
+0.0367291
+0.0362734
+0.0359456
+0.0357494
+0.0356868
+0.0357585
+0.0359428
+0.036254
+0.0366935
+0.0372569
+0.0379277
+0.0387073
+0.0395929
+0.0387678
+0.0379399
+0.0372226
+0.0366226
+0.0361417
+0.0357796
+0.035549
+0.0354526
+0.0354914
+0.0355343
+0.0336165
+0.031734
+0.0298936
+0.0280467
+0.0262343
+0.0244835
+0.0228088
+0.0212282
+0.019752
+0.0183095
+0.016915
+0.0157023
+0.0147175
+0.0139949
+0.0135367
+0.0134249
+0.0136678
+0.0127097
+0.0110573
+0.00937405
+0.00789631
+0.00671364
+0.00598046
+0.00582566
+0.00620197
+0.00708176
+0.00835913
+0.00989508
+0.00989968
+0.0082071
+0.00671003
+0.00554493
+0.00489547
+0.0049782
+0.00576534
+0.00693609
+0.00841189
+0.0101263
+0.0117097
+0.013179
+0.014621
+0.0162273
+0.0179319
+0.0196208
+0.021361
+0.0230578
+0.0247907
+0.0265911
+0.0284464
+0.0303464
+0.0322833
+0.0341629
+0.0355104
+0.0366132
+0.0369366
+0.0366637
+0.0365205
+0.0364895
+0.0365832
+0.0368074
+0.0371596
+0.0376362
+0.0382326
+0.0389432
+0.0397531
+0.0427292
+0.0421835
+0.0417458
+0.0414194
+0.0411944
+0.0410526
+0.0410275
+0.0411192
+0.0410113
+0.0401503
+0.0393922
+0.0387206
+0.038163
+0.0377247
+0.0374096
+0.0372211
+0.037161
+0.0372299
+0.0374246
+0.0377238
+0.0381464
+0.0386886
+0.0393416
+0.0400937
+0.0409165
+0.0400132
+0.0392116
+0.038518
+0.0379378
+0.0374665
+0.0371173
+0.0368951
+0.0368022
+0.0368396
+0.0348711
+0.0329147
+0.0309896
+0.0291021
+0.0272052
+0.0253506
+0.02355
+0.0218037
+0.0201445
+0.0185616
+0.0169373
+0.0154468
+0.014114
+0.0130097
+0.0122024
+0.0116856
+0.0115558
+0.0118372
+0.0124332
+0.0120821
+0.0105301
+0.00919228
+0.00816724
+0.00751492
+0.00734361
+0.00765375
+0.00842524
+0.00956492
+0.0105415
+0.00863617
+0.00686137
+0.00512549
+0.00366041
+0.00281887
+0.00301457
+0.00404886
+0.0055775
+0.00735165
+0.0089704
+0.0106553
+0.0124676
+0.014275
+0.0158756
+0.0175808
+0.0192341
+0.0209746
+0.0227682
+0.0245215
+0.0263404
+0.0282121
+0.0301269
+0.0320657
+0.0340226
+0.0359373
+0.0376036
+0.0372082
+0.0369373
+0.0367951
+0.0367644
+0.0368575
+0.03708
+0.0374296
+0.0379028
+0.0384951
+0.039201
+0.0400145
+0.0433978
+0.0428606
+0.0424299
+0.0421088
+0.0419
+0.0417925
+0.0417679
+0.041858
+0.0420374
+0.0415817
+0.0408502
+0.0402029
+0.0396662
+0.0392447
+0.0389419
+0.0387608
+0.0387031
+0.0387693
+0.0389587
+0.0392503
+0.0396566
+0.0401785
+0.0408114
+0.0415494
+0.0421902
+0.0413214
+0.0405525
+0.0398807
+0.0393095
+0.0388535
+0.0385169
+0.0383028
+0.0382133
+0.0363472
+0.0343351
+0.0323463
+0.0303853
+0.0284577
+0.0265137
+0.024607
+0.0227515
+0.0209608
+0.0192078
+0.0174339
+0.0157456
+0.0141299
+0.0126879
+0.0114492
+0.0105225
+0.0099377
+0.0098134
+0.0101475
+0.0108303
+0.0118835
+0.011894
+0.0106577
+0.00969016
+0.00910112
+0.00891425
+0.00914099
+0.00981162
+0.0108234
+0.00940333
+0.00761216
+0.00567986
+0.00378668
+0.00205429
+0.000700001
+0.00109422
+0.00266762
+0.00446419
+0.00589486
+0.00762844
+0.00950895
+0.0114941
+0.013494
+0.015534
+0.0173383
+0.0190289
+0.0207943
+0.0226247
+0.0244287
+0.0262535
+0.0281306
+0.0300399
+0.0319793
+0.0339492
+0.0359094
+0.0378546
+0.0375947
+0.0373377
+0.037197
+0.0371666
+0.0372587
+0.0374788
+0.0378247
+0.0382931
+0.0388794
+0.0395784
+0.0403843
+0.0441651
+0.0436373
+0.0432143
+0.0428991
+0.0426942
+0.042601
+0.0426081
+0.0426965
+0.0428724
+0.043077
+0.042366
+0.0417422
+0.0412256
+0.0408201
+0.0405292
+0.0403552
+0.0402998
+0.0403633
+0.0405453
+0.040831
+0.0412218
+0.0417241
+0.0423339
+0.0430467
+0.0435369
+0.0426956
+0.0419518
+0.0413029
+0.0407515
+0.0403118
+0.0399875
+0.0397814
+0.0379992
+0.0359514
+0.0339213
+0.0319125
+0.0299286
+0.0279705
+0.0259891
+0.0240408
+0.0221379
+0.02026
+0.0183268
+0.0164582
+0.014679
+0.0129914
+0.011449
+0.0100554
+0.00897448
+0.00831006
+0.00812825
+0.00849045
+0.0093289
+0.0105368
+0.0120027
+0.0122151
+0.011345
+0.0107799
+0.010581
+0.0107469
+0.0113217
+0.0104465
+0.00837903
+0.00639425
+0.00460029
+0.00274569
+0.000802446
+-0.000997006
+-0.000168412
+0.00148134
+0.00284547
+0.00469327
+0.00667686
+0.00870867
+0.0107756
+0.0128491
+0.0149473
+0.0170688
+0.0190382
+0.0206866
+0.022333
+0.0240665
+0.0258615
+0.027698
+0.0295827
+0.0315037
+0.0334471
+0.0353556
+0.0371984
+0.0380637
+0.0378235
+0.0376883
+0.0376765
+0.0377829
+0.0379999
+0.0383412
+0.0388033
+0.039382
+0.0400723
+0.0408684
+0.045026
+0.0445084
+0.0440938
+0.0437849
+0.0435841
+0.0434929
+0.0435119
+0.0436289
+0.0438011
+0.0440758
+0.0439348
+0.0433337
+0.0428362
+0.0424461
+0.0421664
+0.0419992
+0.0419459
+0.042007
+0.0421819
+0.042466
+0.0428419
+0.0433253
+0.0439129
+0.0446005
+0.0449502
+0.0441357
+0.0434167
+0.0427879
+0.0422559
+0.041832
+0.0410244
+0.0395217
+0.0377384
+0.0356756
+0.0336289
+0.0316015
+0.0295974
+0.0276217
+0.025635
+0.0236579
+0.0216842
+0.0196723
+0.0176749
+0.0157291
+0.0138565
+0.0120548
+0.0103671
+0.00885684
+0.00763174
+0.00682251
+0.00661215
+0.00703556
+0.00801332
+0.00938798
+0.0109954
+0.0127728
+0.0130863
+0.0125721
+0.0123578
+0.0125001
+0.0122032
+0.0100232
+0.00784738
+0.00568068
+0.00354209
+0.00153256
+-0.000159676
+-0.00213017
+-0.00142917
+1.76765e-05
+0.00200604
+0.00405113
+0.00616038
+0.0082507
+0.0103607
+0.012396
+0.0144049
+0.0160441
+0.017603
+0.0192639
+0.0210221
+0.0228336
+0.0247009
+0.0266126
+0.0285527
+0.0305268
+0.0324681
+0.0343261
+0.0362214
+0.0381483
+0.0383683
+0.038235
+0.0382234
+0.0383372
+0.0385753
+0.0389353
+0.039414
+0.0399984
+0.0406782
+0.0414628
+0.0459752
+0.0454684
+0.0450626
+0.0447604
+0.044564
+0.0444748
+0.0444934
+0.0446197
+0.0448178
+0.0450862
+0.0454588
+0.0449755
+0.0444964
+0.044121
+0.0438519
+0.0436912
+0.04364
+0.0436987
+0.0438668
+0.0441432
+0.0445108
+0.0449763
+0.0455426
+0.0462059
+0.0464238
+0.0456356
+0.0449406
+0.0443263
+0.0433243
+0.041718
+0.0401592
+0.0386316
+0.0371538
+0.035533
+0.0334776
+0.0314404
+0.0294254
+0.0274373
+0.0254362
+0.0234118
+0.0213389
+0.0192921
+0.0172647
+0.0152541
+0.0132986
+0.0113855
+0.00957374
+0.00791956
+0.00653007
+0.00562649
+0.00535177
+0.00587124
+0.00698529
+0.00851624
+0.0102554
+0.0121409
+0.0141025
+0.0144501
+0.0142389
+0.0143558
+0.0121701
+0.00998665
+0.00780726
+0.00563664
+0.00349116
+0.0014473
+-0.000452436
+-0.00249603
+-0.00205528
+4.99171e-06
+0.00181543
+0.00367291
+0.00563599
+0.0075457
+0.00955682
+0.0115468
+0.0129681
+0.0145255
+0.0162057
+0.017985
+0.0198258
+0.0217249
+0.0236601
+0.0256365
+0.0276453
+0.0296103
+0.0314869
+0.0333943
+0.0353346
+0.0373027
+0.0390287
+0.0388976
+0.0388862
+0.0389981
+0.0392321
+0.0395862
+0.0400571
+0.0406408
+0.0413326
+0.042127
+0.0470074
+0.0465119
+0.0461152
+0.04582
+0.0456282
+0.045541
+0.0455592
+0.0456825
+0.0458878
+0.0461782
+0.0465424
+0.0466624
+0.0462008
+0.0458394
+0.0455805
+0.0454259
+0.0453766
+0.0454331
+0.0455948
+0.0458608
+0.0462233
+0.0466718
+0.0472178
+0.0478579
+0.0479522
+0.0471851
+0.0460127
+0.0442874
+0.0426048
+0.0409704
+0.039382
+0.0378368
+0.0363379
+0.0349005
+0.033343
+0.0314312
+0.0294159
+0.0274271
+0.025384
+0.0232806
+0.0211949
+0.0191327
+0.0170816
+0.0150285
+0.0130075
+0.0110288
+0.00911896
+0.007348
+0.00579986
+0.00473215
+0.00440235
+0.00501032
+0.00627903
+0.0079591
+0.0098053
+0.0117639
+0.0137925
+0.0158637
+0.016198
+0.0145331
+0.0123841
+0.0102528
+0.00815295
+0.00607483
+0.00410217
+0.00207668
+-6.87439e-05
+-0.00225088
+-0.00267924
+-0.000716686
+0.00117143
+0.00283553
+0.00478724
+0.00673678
+0.00849446
+0.00988051
+0.0114554
+0.0131662
+0.0149591
+0.0168428
+0.0187706
+0.0207502
+0.0227684
+0.024816
+0.0267772
+0.0286667
+0.0305931
+0.0325529
+0.0345405
+0.0365514
+0.0385818
+0.0396675
+0.0396563
+0.039766
+0.0399955
+0.0403429
+0.0408051
+0.0413782
+0.0420578
+0.0428388
+0.0481173
+0.0476333
+0.0472461
+0.046958
+0.0467708
+0.0466858
+0.0467035
+0.0468238
+0.0470241
+0.0473075
+0.04769
+0.0481541
+0.0479448
+0.0475966
+0.0473473
+0.0471985
+0.0471511
+0.0472054
+0.0473611
+0.0476172
+0.047972
+0.048407
+0.0489336
+0.0495516
+0.0490315
+0.0472209
+0.0454417
+0.0436938
+0.0419875
+0.040328
+0.0387134
+0.0371403
+0.035616
+0.0341642
+0.0326359
+0.0310346
+0.0295014
+0.0275613
+0.0254523
+0.0233551
+0.0212767
+0.0192096
+0.0171265
+0.0150537
+0.0129926
+0.0109794
+0.00904912
+0.00721314
+0.00562803
+0.00452856
+0.00420553
+0.00482039
+0.00613485
+0.00784585
+0.00972552
+0.0116908
+0.0137244
+0.0158001
+0.0167042
+0.0145341
+0.0123714
+0.0102204
+0.0080909
+0.00596964
+0.00380874
+0.00167676
+-0.000458072
+-0.00241624
+-0.00302995
+-0.0015804
+0.000221292
+0.00192812
+0.00369676
+0.00543674
+0.00679952
+0.00839305
+0.0101232
+0.01197
+0.0138874
+0.0158713
+0.0179034
+0.0199691
+0.022059
+0.0240019
+0.02591
+0.0278548
+0.0298337
+0.0318403
+0.0338698
+0.0359182
+0.0379824
+0.0400377
+0.0405128
+0.0406202
+0.0408449
+0.0411851
+0.041638
+0.0421998
+0.0428664
+0.0436329
+0.0492995
+0.0488273
+0.0484496
+0.0481687
+0.0479863
+0.0479034
+0.047916
+0.048014
+0.0482113
+0.0485069
+0.0488805
+0.0493481
+0.04972
+0.0493844
+0.0491442
+0.0490008
+0.0489551
+0.0490075
+0.0491574
+0.0494042
+0.0497463
+0.0501639
+0.0506722
+0.0504514
+0.0485949
+0.0467674
+0.0449702
+0.0432033
+0.0414768
+0.039796
+0.0381589
+0.036562
+0.0350125
+0.0335346
+0.0320631
+0.0304317
+0.0288665
+0.0273868
+0.0257078
+0.0236332
+0.0215609
+0.0194597
+0.0173673
+0.0153026
+0.0132782
+0.0113075
+0.00939725
+0.00763907
+0.00616447
+0.00512476
+0.0048466
+0.00540252
+0.00662083
+0.00823143
+0.0100636
+0.0120025
+0.0139951
+0.0160358
+0.0168333
+0.0146455
+0.0124589
+0.0102739
+0.00809197
+0.00591658
+0.00375875
+0.00163432
+-3.72968e-05
+-0.000987229
+-0.0016159
+-0.00197035
+-0.000864072
+0.000708567
+0.0023801
+0.0037395
+0.00537061
+0.0071264
+0.00902084
+0.0110098
+0.0130635
+0.0151556
+0.0172722
+0.0194052
+0.0213158
+0.0232396
+0.0252
+0.0271956
+0.0292191
+0.0312652
+0.0333297
+0.0354094
+0.0374425
+0.0394548
+0.0414675
+0.0415724
+0.041792
+0.0421246
+0.0425675
+0.0431172
+0.0437698
+0.0445207
+0.0505491
+0.0500887
+0.0497206
+0.0494469
+0.049268
+0.0491684
+0.0491663
+0.0492618
+0.0494542
+0.0497424
+0.0501132
+0.0505694
+0.0511155
+0.051195
+0.0509633
+0.050825
+0.050781
+0.0508315
+0.0509761
+0.0512141
+0.0515442
+0.0519512
+0.0519961
+0.0501092
+0.0482479
+0.0464129
+0.0446015
+0.0428193
+0.0410767
+0.0393789
+0.0377237
+0.0361076
+0.0345377
+0.0330386
+0.0316118
+0.0299683
+0.0283869
+0.0268808
+0.0254572
+0.0240423
+0.0219599
+0.0198942
+0.0178529
+0.0158429
+0.0138655
+0.0119625
+0.010176
+0.00857891
+0.00729678
+0.00643509
+0.00619633
+0.00666555
+0.0076862
+0.00911037
+0.0107944
+0.0126215
+0.0145401
+0.0165264
+0.0170446
+0.0148722
+0.0127061
+0.0105501
+0.00841209
+0.00631035
+0.00429833
+0.00253408
+0.00108933
+0.000173693
+-0.000153034
+-0.00113803
+-0.00134407
+-0.000575497
+0.000785901
+0.00240533
+0.00422508
+0.00620701
+0.00829276
+0.0104142
+0.0125497
+0.0147015
+0.0168633
+0.0187572
+0.0206887
+0.022658
+0.0246647
+0.0267003
+0.0287588
+0.0308354
+0.0329269
+0.0349293
+0.0369486
+0.0389864
+0.04104
+0.0426161
+0.0428303
+0.0431549
+0.0435873
+0.0441243
+0.0447622
+0.0454968
+0.0518556
+0.0514069
+0.0510483
+0.0507712
+0.0505798
+0.0504828
+0.0504808
+0.0505737
+0.0507611
+0.051042
+0.0514086
+0.0518534
+0.0523861
+0.053004
+0.0528106
+0.0526772
+0.0526348
+0.0526834
+0.052823
+0.0530527
+0.0533714
+0.053671
+0.0517524
+0.0498562
+0.0479852
+0.0461422
+0.044331
+0.0425449
+0.0407905
+0.0390802
+0.037412
+0.0357817
+0.0341969
+0.0326821
+0.0312476
+0.0296375
+0.0280451
+0.0265261
+0.0250996
+0.0237597
+0.0225362
+0.0205378
+0.0185451
+0.0166004
+0.014725
+0.012949
+0.0113192
+0.0099082
+0.00882143
+0.00808875
+0.00790013
+0.00830628
+0.00914422
+0.01037
+0.0118768
+0.0135697
+0.0153706
+0.0172616
+0.0173535
+0.0152271
+0.0131218
+0.0110499
+0.00902424
+0.00705589
+0.00517252
+0.00345879
+0.00206905
+0.00110227
+0.000749358
+-0.000166607
+-0.000488266
+-0.00105789
+-0.000476336
+0.00144857
+0.00358466
+0.00573736
+0.00791003
+0.0100905
+0.0122562
+0.0144287
+0.0163672
+0.0182963
+0.0202636
+0.0222709
+0.0242981
+0.0263471
+0.0284172
+0.0305042
+0.0325041
+0.0345262
+0.0365663
+0.0386197
+0.0406875
+0.0427675
+0.0439534
+0.0442697
+0.0446913
+0.0452152
+0.045838
+0.0465556
+0.0531976
+0.0527603
+0.052411
+0.0521373
+0.0519509
+0.0518564
+0.0518545
+0.051945
+0.0521275
+0.052401
+0.0527631
+0.0531966
+0.053716
+0.0543188
+0.0546833
+0.0545545
+0.0545135
+0.0545605
+0.0546952
+0.0549171
+0.0552251
+0.0535246
+0.0516006
+0.0496987
+0.0478214
+0.0459719
+0.0441537
+0.042365
+0.0406117
+0.0389027
+0.0372267
+0.035588
+0.0339941
+0.0324699
+0.0310256
+0.0294664
+0.0278642
+0.0263347
+0.0248973
+0.0235669
+0.0223481
+0.0211734
+0.0194318
+0.0175855
+0.0158273
+0.0141899
+0.0127201
+0.0114825
+0.0105221
+0.00990458
+0.00975115
+0.010083
+0.0108203
+0.0118743
+0.0132106
+0.0147525
+0.0164424
+0.0182319
+0.0175624
+0.0154899
+0.0134397
+0.0114123
+0.00945087
+0.00760551
+0.00592037
+0.00446202
+0.00324028
+0.0023199
+0.00186316
+0.001105
+0.000436793
+-0.000971903
+-0.000914244
+0.00123428
+0.00340704
+0.00558494
+0.00776979
+0.0099572
+0.0121458
+0.0141358
+0.0159876
+0.017916
+0.0198987
+0.0219211
+0.0239731
+0.0260476
+0.0281398
+0.0301856
+0.0322043
+0.0342441
+0.0363001
+0.0383678
+0.0404484
+0.0425401
+0.0446413
+0.0454628
+0.0458734
+0.046384
+0.0469913
+0.0476876
+0.0545945
+0.0541685
+0.0538281
+0.0535581
+0.0533767
+0.0532848
+0.0532828
+0.0533709
+0.0535486
+0.0538148
+0.0541685
+0.0545948
+0.055101
+0.0556888
+0.0563557
+0.0564544
+0.0564147
+0.0564601
+0.0565904
+0.0568049
+0.0554135
+0.0534677
+0.0515416
+0.0496373
+0.0477577
+0.0459056
+0.0440846
+0.0422931
+0.0405367
+0.0388244
+0.0371624
+0.0355286
+0.0339319
+0.0324047
+0.0309574
+0.0294576
+0.0278549
+0.0263249
+0.0248869
+0.0235559
+0.0223365
+0.0212051
+0.0201741
+0.0187756
+0.0171399
+0.0156406
+0.0143205
+0.0132324
+0.0123688
+0.0118479
+0.0117199
+0.0119974
+0.0126538
+0.0135669
+0.0147506
+0.0161461
+0.0177035
+0.0193837
+0.0179972
+0.0159693
+0.0139906
+0.0120747
+0.0102422
+0.00853036
+0.00701603
+0.00567629
+0.00440601
+0.00357613
+0.00303213
+0.00236825
+0.00190496
+0.000722166
+0.00060819
+0.00190128
+0.00383795
+0.00592217
+0.00806304
+0.010225
+0.012147
+0.0139188
+0.015796
+0.0177452
+0.0197451
+0.0217817
+0.0238457
+0.0259305
+0.0280158
+0.0300228
+0.0320517
+0.0341007
+0.0361648
+0.0382398
+0.0403271
+0.0424248
+0.0445314
+0.0466458
+0.0471083
+0.0476057
+0.0481975
+0.0488742
+0.0560422
+0.0556272
+0.0552923
+0.0550295
+0.0548529
+0.0547635
+0.0547616
+0.0548473
+0.0550202
+0.0552794
+0.0556237
+0.0560437
+0.0565369
+0.05711
+0.0577605
+0.0583746
+0.0583363
+0.0583802
+0.0585062
+0.0574076
+0.0554452
+0.0535005
+0.0515756
+0.0496727
+0.0477944
+0.0459438
+0.0441244
+0.0423346
+0.0405799
+0.0388695
+0.0372096
+0.0355944
+0.0340109
+0.0324875
+0.031044
+0.029591
+0.0280174
+0.0264968
+0.0250687
+0.0237479
+0.0225389
+0.0214404
+0.020421
+0.0195944
+0.0186185
+0.0172482
+0.0160608
+0.0150688
+0.0143128
+0.0138651
+0.0137559
+0.0139932
+0.0145598
+0.0153856
+0.0164389
+0.0177018
+0.019133
+0.0206114
+0.0186396
+0.0167024
+0.0148209
+0.01302
+0.0112404
+0.00960817
+0.0081416
+0.00693862
+0.0058692
+0.00517749
+0.00448995
+0.0039562
+0.0035896
+0.00285886
+0.00275211
+0.00352408
+0.00495404
+0.00677487
+0.00871476
+0.0106607
+0.0122865
+0.0140442
+0.0159066
+0.0178437
+0.0198337
+0.0218524
+0.0238975
+0.0259664
+0.0280122
+0.0300194
+0.0320486
+0.0340977
+0.036162
+0.0382372
+0.0403245
+0.0424224
+0.0445291
+0.0466436
+0.0484084
+0.0488925
+0.049469
+0.0501285
+0.0575369
+0.0571328
+0.0568033
+0.0565475
+0.0563757
+0.0562887
+0.0562868
+0.0563702
+0.0565384
+0.0567907
+0.0571259
+0.0575395
+0.05802
+0.0585786
+0.0592129
+0.0599207
+0.0602762
+0.0603187
+0.0594962
+0.0575216
+0.0555632
+0.0536229
+0.0517025
+0.0498044
+0.0479313
+0.0460862
+0.0442727
+0.0424891
+0.0407411
+0.0390378
+0.0373853
+0.035778
+0.0342078
+0.0326931
+0.0312585
+0.0298739
+0.0283314
+0.0268469
+0.0254385
+0.0241379
+0.0229495
+0.021872
+0.0208737
+0.0200658
+0.0193757
+0.0188356
+0.0178975
+0.0169863
+0.0163194
+0.0159283
+0.0158333
+0.0160398
+0.0165365
+0.0172909
+0.0182344
+0.0193807
+0.0206961
+0.0213655
+0.019433
+0.0175192
+0.015678
+0.0139251
+0.01228
+0.0107197
+0.00939413
+0.00830486
+0.00739176
+0.0067758
+0.00609596
+0.00563625
+0.00551563
+0.0050005
+0.00493305
+0.00545922
+0.006564
+0.00803758
+0.00977658
+0.0111766
+0.0127362
+0.0144465
+0.0162723
+0.018177
+0.02012
+0.0221084
+0.0241318
+0.0261822
+0.0281794
+0.0301755
+0.0321948
+0.0342352
+0.0362917
+0.0383598
+0.0404409
+0.0425329
+0.0446345
+0.0467442
+0.048861
+0.050242
+0.0508032
+0.0514456
+0.059075
+0.0586815
+0.0583574
+0.0581084
+0.0579412
+0.0578566
+0.0578548
+0.0579359
+0.0580996
+0.0583451
+0.0586715
+0.0590773
+0.0595468
+0.0600912
+0.0607098
+0.0614003
+0.0621604
+0.0616697
+0.0596867
+0.0577186
+0.0557672
+0.0538341
+0.0519216
+0.0500318
+0.0481676
+0.0463319
+0.0445283
+0.0427554
+0.0410188
+0.0393275
+0.0376877
+0.0360939
+0.0345382
+0.0330386
+0.0316198
+0.0302568
+0.02879
+0.0273375
+0.0259557
+0.0246912
+0.0235576
+0.022492
+0.0215408
+0.0207222
+0.0200554
+0.0195243
+0.0191739
+0.0189632
+0.0183682
+0.0180215
+0.0179377
+0.0181202
+0.0185613
+0.0192432
+0.0201084
+0.0211534
+0.0223647
+0.0221323
+0.0202565
+0.0184284
+0.0166879
+0.0150392
+0.0134607
+0.0120467
+0.0108223
+0.00983482
+0.00899997
+0.00840177
+0.00790743
+0.0075045
+0.00738219
+0.00717111
+0.00711822
+0.00752452
+0.0084018
+0.00963061
+0.0108483
+0.0120702
+0.0135299
+0.015151
+0.0169009
+0.0187418
+0.0206316
+0.022575
+0.02456
+0.0265544
+0.0285144
+0.0304886
+0.0324884
+0.0345115
+0.0365524
+0.0386066
+0.040675
+0.0427556
+0.0448467
+0.0469469
+0.049055
+0.0511701
+0.0521952
+0.0528207
+0.0606533
+0.0602701
+0.0599513
+0.0597089
+0.0595462
+0.0594639
+0.0594622
+0.0595411
+0.0597004
+0.0599393
+0.0602571
+0.0606523
+0.061114
+0.0616445
+0.0622477
+0.0629213
+0.0636633
+0.0619311
+0.0599567
+0.0579978
+0.056056
+0.0541333
+0.0522296
+0.0503482
+0.0484927
+0.0466663
+0.0448725
+0.0431154
+0.0413997
+0.0397307
+0.0381114
+0.0365387
+0.0350028
+0.033524
+0.0321267
+0.030786
+0.0293768
+0.0279885
+0.0266405
+0.0254101
+0.0243152
+0.0232763
+0.0223854
+0.0215738
+0.0209128
+0.0204071
+0.0200721
+0.0199671
+0.0200203
+0.0201355
+0.0200605
+0.0202239
+0.0206201
+0.0212316
+0.02188
+0.022633
+0.0234545
+0.0229902
+0.0211719
+0.0194305
+0.0177888
+0.0162026
+0.0147271
+0.0134169
+0.012343
+0.0115596
+0.0107236
+0.0101833
+0.00983188
+0.00950843
+0.00934456
+0.00935109
+0.00930473
+0.00962479
+0.0103503
+0.0112603
+0.0121097
+0.0132406
+0.0145844
+0.016115
+0.0177789
+0.0195372
+0.0213568
+0.0232396
+0.0251723
+0.0270874
+0.0290114
+0.0309539
+0.0329255
+0.0349233
+0.0369414
+0.0389751
+0.041025
+0.0430887
+0.0451644
+0.0472504
+0.0493456
+0.0514487
+0.0535588
+0.0542494
+0.0622686
+0.0618944
+0.0615818
+0.0613459
+0.0611876
+0.0611074
+0.0611058
+0.0611826
+0.0613376
+0.0615702
+0.0618796
+0.0622645
+0.0627186
+0.0632356
+0.0638237
+0.0644809
+0.0642376
+0.0622609
+0.0602988
+0.0583486
+0.056416
+0.054503
+0.0526116
+0.0507443
+0.0489039
+0.0470934
+0.0453166
+0.0435774
+0.0418806
+0.0402316
+0.0386332
+0.0370922
+0.0355964
+0.0341434
+0.0327724
+0.0314485
+0.0301119
+0.0287613
+0.0274791
+0.026288
+0.0252313
+0.0242338
+0.0233765
+0.0225865
+0.0219341
+0.0214639
+0.021151
+0.0210497
+0.0210849
+0.0212692
+0.0214205
+0.0215531
+0.0217791
+0.0221965
+0.0228124
+0.0234909
+0.0242834
+0.0239601
+0.0222211
+0.0205651
+0.0190088
+0.0175349
+0.0161565
+0.014959
+0.0140039
+0.0133185
+0.0125761
+0.0120982
+0.0118491
+0.0115717
+0.0113676
+0.0114245
+0.0114926
+0.0117552
+0.0122954
+0.0128468
+0.0135954
+0.0146204
+0.0158702
+0.0172874
+0.0188531
+0.0205335
+0.0222747
+0.0240858
+0.0259471
+0.0277834
+0.0296466
+0.0315479
+0.0334846
+0.0354508
+0.037442
+0.0394543
+0.0414848
+0.0435296
+0.0455852
+0.0476529
+0.049731
+0.0518185
+0.0539141
+0.0557277
+0.0639183
+0.0635506
+0.0632462
+0.0630166
+0.0628624
+0.0627844
+0.0627828
+0.0628576
+0.0630085
+0.0632349
+0.0635362
+0.0639111
+0.0643576
+0.0648617
+0.0654352
+0.0660764
+0.0646085
+0.0626435
+0.0606938
+0.0587612
+0.0568473
+0.0549541
+0.0530813
+0.0512312
+0.0494089
+0.0476176
+0.0458611
+0.0441433
+0.0424692
+0.0408395
+0.0392629
+0.0377477
+0.0363014
+0.0348895
+0.0335311
+0.0322275
+0.0309848
+0.0296739
+0.0284515
+0.0273029
+0.0262784
+0.0253417
+0.0244959
+0.0237329
+0.0231128
+0.0226728
+0.02239
+0.0222818
+0.0223143
+0.0224886
+0.0226317
+0.0226756
+0.0229043
+0.0233015
+0.0238726
+0.0244949
+0.025256
+0.0250569
+0.0233937
+0.0218239
+0.020364
+0.0190065
+0.017731
+0.0166472
+0.0157861
+0.015179
+0.014497
+0.0140937
+0.0138894
+0.013628
+0.0134405
+0.0134449
+0.0135694
+0.0137243
+0.0141055
+0.0145886
+0.015252
+0.0161723
+0.0173105
+0.0186183
+0.0200805
+0.0216659
+0.0233494
+0.0250953
+0.0268232
+0.0286092
+0.030418
+0.0322738
+0.0341694
+0.0360984
+0.0380557
+0.0400372
+0.0420394
+0.0440596
+0.0460954
+0.0481448
+0.0502061
+0.0522774
+0.0543555
+0.056442
+0.0655995
+0.0652384
+0.0649419
+0.0647182
+0.0645682
+0.0644922
+0.0644906
+0.0645634
+0.0647103
+0.0649309
+0.0652243
+0.0655896
+0.0660256
+0.0665202
+0.0670795
+0.0670172
+0.0650511
+0.0630998
+0.0611648
+0.0592475
+0.0573498
+0.0554737
+0.0536215
+0.0517957
+0.0499993
+0.0482354
+0.0465009
+0.0448023
+0.0431481
+0.0415436
+0.0399948
+0.0385084
+0.0370918
+0.0357382
+0.0344025
+0.0331333
+0.0319639
+0.0307159
+0.0295546
+0.0284441
+0.0274501
+0.0265549
+0.0257525
+0.0249976
+0.0244098
+0.0239852
+0.0237399
+0.0236531
+0.023683
+0.0238472
+0.0239252
+0.0239463
+0.024163
+0.0245399
+0.0250457
+0.02564
+0.026375
+0.0262831
+0.0247026
+0.0232214
+0.0218311
+0.0205723
+0.0194254
+0.0184346
+0.0176504
+0.0170845
+0.0164816
+0.0161292
+0.0159377
+0.0157207
+0.0155107
+0.0155006
+0.0155398
+0.0156752
+0.0160019
+0.0164233
+0.0170227
+0.0178586
+0.0188954
+0.0201004
+0.0214619
+0.0229521
+0.0245476
+0.0261898
+0.0278444
+0.0295668
+0.0313235
+0.033129
+0.0349782
+0.0368649
+0.0387835
+0.0407296
+0.0426994
+0.0446898
+0.0466981
+0.0487222
+0.05076
+0.0528101
+0.0548711
+0.0569418
+0.0673102
+0.0669553
+0.0666664
+0.0664486
+0.0663024
+0.0662285
+0.0662269
+0.0662978
+0.0664409
+0.0666557
+0.0669415
+0.0672975
+0.0677225
+0.0682087
+0.0687543
+0.0675151
+0.065564
+0.0636284
+0.0617099
+0.0598101
+0.0579309
+0.0560742
+0.0542425
+0.0524384
+0.0506647
+0.0489248
+0.0472199
+0.0455482
+0.0439221
+0.042347
+0.0408286
+0.0393737
+0.0379894
+0.0366838
+0.0353877
+0.0341558
+0.0330226
+0.0318679
+0.0307408
+0.0296921
+0.0287413
+0.0278875
+0.0270965
+0.0263738
+0.0258173
+0.0254163
+0.0251849
+0.0251224
+0.0251419
+0.0252967
+0.025323
+0.025343
+0.0255479
+0.0259046
+0.0263405
+0.0269063
+0.0276227
+0.0276289
+0.0261241
+0.02471
+0.023401
+0.0222313
+0.0211918
+0.020278
+0.0195678
+0.0190514
+0.0185127
+0.0181902
+0.0180126
+0.0178315
+0.0176094
+0.0175659
+0.0175624
+0.0176759
+0.0179603
+0.0183125
+0.0188519
+0.0196224
+0.0205918
+0.0217028
+0.0229695
+0.0243677
+0.025876
+0.0274105
+0.0289956
+0.0306484
+0.0323464
+0.0341006
+0.0359026
+0.0377431
+0.0396193
+0.0415262
+0.0434599
+0.045417
+0.0473945
+0.04939
+0.0514014
+0.0534269
+0.055465
+0.0575143
+0.0690479
+0.0686991
+0.0684176
+0.0682054
+0.068063
+0.067991
+0.0679895
+0.0680585
+0.0681979
+0.0684072
+0.0686857
+0.0690327
+0.0694471
+0.0699251
+0.0700295
+0.0680799
+0.0661454
+0.0642274
+0.0623273
+0.060447
+0.0585881
+0.056753
+0.0549439
+0.0531636
+0.0514149
+0.0497013
+0.048024
+0.0463813
+0.0447855
+0.0432418
+0.041756
+0.0403345
+0.0389843
+0.0377131
+0.0364632
+0.0352681
+0.0341718
+0.0331037
+0.0320204
+0.0310347
+0.0301366
+0.0293235
+0.0285367
+0.0278514
+0.0273249
+0.0269496
+0.0267315
+0.0266726
+0.0266971
+0.0268429
+0.0268272
+0.026846
+0.0270395
+0.027372
+0.0277444
+0.0282821
+0.0289758
+0.0290558
+0.0276181
+0.0262846
+0.0250642
+0.0239758
+0.0230229
+0.0221846
+0.0215374
+0.0210626
+0.0205765
+0.020276
+0.0201072
+0.0199273
+0.0197274
+0.0196578
+0.0196212
+0.0197116
+0.019967
+0.0202625
+0.0207513
+0.0214537
+0.0223496
+0.0234007
+0.0245801
+0.0258914
+0.0273157
+0.0287457
+0.0302609
+0.0318441
+0.0334816
+0.0351792
+0.0369288
+0.0387233
+0.0405563
+0.0424211
+0.0443158
+0.0462367
+0.0481805
+0.0501448
+0.0521271
+0.0541254
+0.0561381
+0.0581637
+0.0708091
+0.0704679
+0.0701935
+0.0699866
+0.0698479
+0.0697777
+0.0697762
+0.0698435
+0.0699793
+0.0701833
+0.0704549
+0.0707932
+0.0711973
+0.0716662
+0.0706421
+0.0687099
+0.0667937
+0.0648948
+0.0630149
+0.0611557
+0.0593191
+0.0575073
+0.0557227
+0.053968
+0.0522463
+0.0505609
+0.0489131
+0.0473012
+0.0457375
+0.044227
+0.0427755
+0.041389
+0.0400744
+0.0388338
+0.0376264
+0.0364694
+0.0354103
+0.0344347
+0.0333949
+0.0324509
+0.0316206
+0.0308457
+0.0300536
+0.0294036
+0.0289055
+0.0285586
+0.0283529
+0.0283075
+0.0283364
+0.0284738
+0.0284122
+0.0284301
+0.0286161
+0.0288922
+0.0292452
+0.0297557
+0.0304159
+0.0305636
+0.0292002
+0.0279423
+0.0267977
+0.0257825
+0.024912
+0.0241395
+0.023546
+0.0231064
+0.0226629
+0.022375
+0.0222203
+0.0220416
+0.0218563
+0.0217691
+0.0216878
+0.0217588
+0.0220088
+0.0222573
+0.0227031
+0.0233469
+0.0241728
+0.0251628
+0.0262715
+0.0275023
+0.0288093
+0.0301626
+0.03161
+0.0331387
+0.034718
+0.0363579
+0.0380534
+0.0397972
+0.0415834
+0.0434066
+0.0452613
+0.0471436
+0.0490515
+0.0509822
+0.0529332
+0.0549022
+0.0568874
+0.0588872
+0.0725926
+0.0722598
+0.0719923
+0.0717906
+0.0716553
+0.0715869
+0.0715855
+0.0716511
+0.0717835
+0.0719823
+0.0722471
+0.0725771
+0.0729713
+0.0732458
+0.0713168
+0.0694034
+0.0675069
+0.0656286
+0.0637703
+0.0619338
+0.060121
+0.0583341
+0.0565756
+0.0548482
+0.053155
+0.0514994
+0.0498825
+0.048303
+0.0467728
+0.0452969
+0.0438807
+0.0425303
+0.0412521
+0.0400248
+0.0388635
+0.0377597
+0.0367379
+0.0358042
+0.0348529
+0.0339495
+0.0331611
+0.0324027
+0.0316495
+0.031033
+0.0305614
+0.0302276
+0.0300333
+0.0299933
+0.0300409
+0.0301705
+0.0300505
+0.0300674
+0.0302433
+0.030494
+0.0308287
+0.0313134
+0.0319414
+0.03215
+0.0308568
+0.0296692
+0.028591
+0.0276418
+0.0268382
+0.0261318
+0.0255846
+0.0251749
+0.0247622
+0.02449
+0.0243471
+0.0241696
+0.0239742
+0.0238773
+0.0237641
+0.0238175
+0.0240675
+0.0242858
+0.0246951
+0.0252882
+0.0260526
+0.0269737
+0.0280311
+0.0291878
+0.0303816
+0.0316679
+0.0330494
+0.0345147
+0.0360452
+0.0376274
+0.0392681
+0.0409603
+0.0426978
+0.0444753
+0.0462872
+0.0481294
+0.0499998
+0.0518952
+0.053813
+0.055751
+0.057707
+0.0596794
+0.0743978
+0.0740732
+0.0738122
+0.0736155
+0.0734836
+0.0734169
+0.0734155
+0.0734794
+0.0736086
+0.0738025
+0.0740608
+0.0743827
+0.0747674
+0.0739616
+0.0720518
+0.0701585
+0.0682829
+0.0664266
+0.0645913
+0.0627788
+0.060991
+0.0592304
+0.0574993
+0.0558006
+0.0541372
+0.0525125
+0.0509278
+0.0493818
+0.0478861
+0.0464455
+0.0450655
+0.0437516
+0.0425055
+0.0412978
+0.0401733
+0.0391302
+0.0381451
+0.0372468
+0.0363845
+0.03552
+0.0347531
+0.0340239
+0.0333131
+0.032728
+0.0322812
+0.0319597
+0.031776
+0.0317382
+0.0318048
+0.0318904
+0.0317555
+0.0317715
+0.031938
+0.0321538
+0.0324714
+0.032932
+0.0335296
+0.033804
+0.0325766
+0.0314496
+0.0304319
+0.0295419
+0.0287914
+0.0281536
+0.0276465
+0.0272626
+0.0268755
+0.0266173
+0.0264843
+0.0263078
+0.0261041
+0.025958
+0.0258516
+0.0258979
+0.0261068
+0.0263404
+0.0267182
+0.0272674
+0.0279777
+0.0288374
+0.0298335
+0.0309112
+0.0320267
+0.0332493
+0.0345677
+0.0359712
+0.0374503
+0.0389787
+0.0405648
+0.042205
+0.0438933
+0.0456243
+0.0473922
+0.0491931
+0.0510245
+0.0528832
+0.0547664
+0.0566718
+0.0585971
+0.0605405
+0.0762233
+0.0759065
+0.0756518
+0.0754599
+0.0753312
+0.0752661
+0.0752648
+0.0753272
+0.0754531
+0.0756423
+0.0758943
+0.0762085
+0.0765841
+0.0747348
+0.0728453
+0.0709731
+0.0691197
+0.0672865
+0.0654753
+0.0636879
+0.0619264
+0.0601932
+0.0584906
+0.0568215
+0.0551888
+0.053596
+0.0520414
+0.0505295
+0.0490687
+0.0476639
+0.0463202
+0.045043
+0.0438159
+0.0426453
+0.0415573
+0.0405531
+0.039621
+0.0387595
+0.0379691
+0.0371461
+0.0364055
+0.0356996
+0.0350347
+0.0344788
+0.034055
+0.0337451
+0.0335712
+0.0335355
+0.0336181
+0.0336448
+0.033517
+0.0335321
+0.0336719
+0.0338612
+0.0341689
+0.0346068
+0.035176
+0.0355162
+0.0343497
+0.0332765
+0.0323164
+0.0314797
+0.0307765
+0.030199
+0.0297267
+0.0293652
+0.0290002
+0.0287541
+0.0286296
+0.028454
+0.0282433
+0.0280514
+0.0279523
+0.0279952
+0.0281688
+0.0284153
+0.0287659
+0.0292767
+0.0299394
+0.0307442
+0.0316804
+0.0326762
+0.0337335
+0.0348964
+0.0361547
+0.0374989
+0.0389201
+0.0404037
+0.0419359
+0.0435245
+0.0451635
+0.0468475
+0.048571
+0.0503297
+0.0521211
+0.0539421
+0.0557896
+0.0576612
+0.0595545
+0.0614676
+0.0780675
+0.0777582
+0.0775096
+0.0773224
+0.0771968
+0.0771333
+0.077132
+0.0771928
+0.0773157
+0.0775004
+0.0777464
+0.0780531
+0.0774488
+0.0755637
+0.0736954
+0.0718454
+0.070015
+0.0682059
+0.0664198
+0.0646585
+0.0629242
+0.0612192
+0.059546
+0.0579073
+0.0563061
+0.0547373
+0.0532117
+0.051734
+0.0503083
+0.0489391
+0.0476313
+0.0463902
+0.0451946
+0.0440606
+0.0430085
+0.0420389
+0.0411573
+0.0403271
+0.0395756
+0.038817
+0.0381122
+0.0374285
+0.0368027
+0.0362775
+0.0358738
+0.0355759
+0.0354109
+0.0353772
+0.0354567
+0.0354478
+0.0353265
+0.0353408
+0.0354384
+0.0356183
+0.0359197
+0.0363366
+0.0368791
+0.0372736
+0.0361545
+0.0351365
+0.0342286
+0.0334398
+0.0327787
+0.0322324
+0.0318196
+0.0314799
+0.0311341
+0.0308775
+0.0307555
+0.030605
+0.0303898
+0.0301586
+0.0300658
+0.0301057
+0.0302479
+0.0304822
+0.0308332
+0.0313103
+0.0319308
+0.0326867
+0.0335687
+0.0344802
+0.0354837
+0.036591
+0.037793
+0.0390809
+0.0404465
+0.0418822
+0.0433744
+0.0449121
+0.0465022
+0.0481395
+0.0498182
+0.0515344
+0.0532854
+0.0550678
+0.0568788
+0.0587156
+0.060576
+0.0624578
+0.0799293
+0.0796272
+0.0793845
+0.0792016
+0.079079
+0.079017
+0.0790157
+0.0790752
+0.0791952
+0.0793755
+0.0796157
+0.0799152
+0.0783102
+0.0764463
+0.0746002
+0.0727732
+0.0709667
+0.0691825
+0.0674222
+0.0656879
+0.0639815
+0.0623054
+0.0606621
+0.0590518
+0.0574738
+0.055937
+0.0544451
+0.0530018
+0.051611
+0.0502774
+0.0490053
+0.0477973
+0.046625
+0.0455267
+0.0445092
+0.0435767
+0.0427159
+0.0419403
+0.0412289
+0.0405375
+0.0398608
+0.0392036
+0.0386066
+0.0381167
+0.0377287
+0.0374453
+0.0372886
+0.0372566
+0.0373322
+0.0372923
+0.0371771
+0.0371907
+0.03725
+0.0374212
+0.0377166
+0.0381138
+0.0386314
+0.0390662
+0.0379999
+0.0370327
+0.0361724
+0.0354269
+0.0347985
+0.0342768
+0.033889
+0.0336041
+0.0332515
+0.0330068
+0.0328884
+0.0327475
+0.0325073
+0.0322769
+0.0321897
+0.0322269
+0.0323408
+0.0325616
+0.0329165
+0.0333638
+0.0339468
+0.0346588
+0.0354628
+0.0363254
+0.0372793
+0.0383348
+0.0394837
+0.0407181
+0.0420306
+0.043414
+0.0448617
+0.0463617
+0.0479037
+0.0494947
+0.051129
+0.0528026
+0.0545128
+0.0562564
+0.0580303
+0.0598318
+0.0616585
+0.0635082
+0.0818073
+0.0815122
+0.0812751
+0.0810965
+0.0809768
+0.0809162
+0.080915
+0.080973
+0.0810902
+0.0812663
+0.0815009
+0.0810821
+0.0792229
+0.0773809
+0.0755576
+0.0737543
+0.0719725
+0.0702139
+0.0684801
+0.0667732
+0.0650953
+0.0634487
+0.0618301
+0.0602452
+0.0586993
+0.0571955
+0.0557373
+0.0543283
+0.0529724
+0.0516739
+0.0504355
+0.0492492
+0.0481111
+0.0470475
+0.0460636
+0.045155
+0.0443249
+0.0435892
+0.0429245
+0.0423014
+0.0416474
+0.0410189
+0.0404487
+0.0399814
+0.0396177
+0.0393479
+0.0391988
+0.0391666
+0.0392385
+0.0391725
+0.0390628
+0.0390597
+0.0391005
+0.0392636
+0.0395476
+0.0399321
+0.0404264
+0.0408975
+0.0398803
+0.0389597
+0.038143
+0.0374367
+0.0368308
+0.0363384
+0.0359728
+0.0357195
+0.0353736
+0.0351437
+0.0350284
+0.0348921
+0.0346205
+0.0344042
+0.034322
+0.0343521
+0.0344432
+0.0346481
+0.0349882
+0.0354313
+0.0359809
+0.0366533
+0.0373854
+0.0382072
+0.0391152
+0.0401224
+0.0412215
+0.0424054
+0.0436672
+0.0450003
+0.0463985
+0.0478563
+0.0493627
+0.0509081
+0.0524984
+0.0541297
+0.0557993
+0.0575038
+0.0592404
+0.0610062
+0.0627988
+0.0646159
+0.0837005
+0.0834121
+0.0831805
+0.083006
+0.082889
+0.0828299
+0.0828286
+0.0828853
+0.0829998
+0.0831719
+0.0834011
+0.0819966
+0.080185
+0.0783657
+0.0765658
+0.0747868
+0.0730302
+0.0712976
+0.0695909
+0.0679119
+0.0662622
+0.0646376
+0.0630471
+0.0614936
+0.0599799
+0.058509
+0.0570843
+0.0557094
+0.054388
+0.0531233
+0.0519158
+0.050753
+0.0496493
+0.0486194
+0.0476658
+0.0467827
+0.045982
+0.0452732
+0.044659
+0.0440935
+0.0434711
+0.0428693
+0.042324
+0.0418777
+0.0415363
+0.041279
+0.041137
+0.0411005
+0.041169
+0.0410835
+0.0409789
+0.0409456
+0.0409845
+0.0411401
+0.0414112
+0.0417862
+0.0422588
+0.0427627
+0.0417909
+0.0409134
+0.0401364
+0.0394595
+0.0388804
+0.0384142
+0.0380686
+0.0378285
+0.0375035
+0.0372866
+0.0371743
+0.037023
+0.0367428
+0.0365391
+0.0364612
+0.0364723
+0.0365527
+0.0367448
+0.0370656
+0.0374957
+0.0380154
+0.0386525
+0.0393361
+0.0401203
+0.040986
+0.0419483
+0.0430008
+0.0441369
+0.0453506
+0.0466355
+0.0479862
+0.0493971
+0.0508632
+0.0523751
+0.0539221
+0.0555116
+0.0571408
+0.0588065
+0.0605057
+0.0622356
+0.0639937
+0.0657778
+0.085608
+0.085326
+0.0850995
+0.084929
+0.0848147
+0.0847569
+0.0847557
+0.0848111
+0.084923
+0.0850911
+0.0847655
+0.0829584
+0.0811703
+0.0793987
+0.0776228
+0.0758686
+0.0741376
+0.0724315
+0.0707521
+0.069098
+0.0674705
+0.0658756
+0.0643157
+0.0627936
+0.061312
+0.0598739
+0.0584824
+0.0571412
+0.0558536
+0.0546186
+0.0534439
+0.0523053
+0.0512351
+0.0502377
+0.0493081
+0.0484547
+0.0476821
+0.046999
+0.0464093
+0.0458952
+0.0453273
+0.0447504
+0.0442284
+0.0438014
+0.0434806
+0.043235
+0.0430993
+0.043059
+0.0431244
+0.0430212
+0.0429213
+0.0428605
+0.0428976
+0.0430463
+0.0433055
+0.0436715
+0.0441239
+0.0446575
+0.0437278
+0.0428899
+0.0421454
+0.0414955
+0.0409446
+0.0405021
+0.040174
+0.0399417
+0.0396401
+0.0394327
+0.0393252
+0.0391411
+0.0388727
+0.0386802
+0.0386061
+0.0386003
+0.0386702
+0.0388519
+0.0391554
+0.0395736
+0.0400664
+0.0406653
+0.0413108
+0.0420605
+0.042887
+0.0438076
+0.0448164
+0.0459077
+0.0470757
+0.0483148
+0.0496198
+0.0509855
+0.0524072
+0.0538805
+0.0553959
+0.0569442
+0.0585336
+0.0601607
+0.0618227
+0.0635167
+0.0652404
+0.0669913
+0.0875287
+0.0872529
+0.0870315
+0.0868647
+0.086753
+0.0866964
+0.0866953
+0.0867494
+0.0868588
+0.0870232
+0.0857523
+0.0839664
+0.0822002
+0.0804548
+0.0787265
+0.0769974
+0.0752922
+0.0736061
+0.0719473
+0.0703175
+0.068719
+0.0671539
+0.0656246
+0.0641337
+0.0626839
+0.0612781
+0.0599195
+0.0586112
+0.057356
+0.0561423
+0.0549892
+0.0539005
+0.0528641
+0.0518942
+0.0509916
+0.0501667
+0.0494209
+0.0487621
+0.048194
+0.0477198
+0.0472121
+0.0466586
+0.0461581
+0.0457492
+0.0454423
+0.0452124
+0.0450827
+0.0450389
+0.0450967
+0.0449748
+0.0448721
+0.0448006
+0.0448361
+0.0449785
+0.0452266
+0.0455788
+0.0460177
+0.0465491
+0.0456876
+0.0448844
+0.0441663
+0.0435465
+0.0430212
+0.0426004
+0.0422844
+0.0420627
+0.0417823
+0.0415822
+0.0414722
+0.0412669
+0.041009
+0.0408266
+0.040756
+0.0407349
+0.0407955
+0.0409677
+0.0412557
+0.041657
+0.0421315
+0.042691
+0.0433063
+0.0440222
+0.0448146
+0.0456963
+0.0466643
+0.0477134
+0.0488382
+0.0500337
+0.0512949
+0.0526172
+0.053996
+0.055427
+0.0569065
+0.0584239
+0.059974
+0.0615631
+0.0631882
+0.0648466
+0.0665358
+0.0682535
+0.0894618
+0.089192
+0.0889754
+0.0888123
+0.088703
+0.0886477
+0.0886465
+0.0886995
+0.0888065
+0.0885663
+0.0867831
+0.085019
+0.083275
+0.0815527
+0.0798533
+0.0781535
+0.0764678
+0.0748082
+0.0731766
+0.0715749
+0.0700051
+0.0684694
+0.0669701
+0.0655098
+0.0640912
+0.0627169
+0.0613901
+0.0601139
+0.0588769
+0.0576952
+0.0565738
+0.0555162
+0.0545225
+0.053586
+0.0527124
+0.0519147
+0.0511944
+0.0505587
+0.050011
+0.0495471
+0.0491223
+0.0485906
+0.0481102
+0.047718
+0.0474239
+0.0472087
+0.0470795
+0.0470374
+0.0470816
+0.0469449
+0.0468314
+0.0467629
+0.046797
+0.0469333
+0.0471712
+0.047509
+0.0479367
+0.048446
+0.0476663
+0.0468896
+0.0462026
+0.0456106
+0.0451087
+0.0447075
+0.0444016
+0.0441905
+0.0439293
+0.0437357
+0.043618
+0.0433991
+0.0431507
+0.0429774
+0.0429099
+0.0428738
+0.0429273
+0.043091
+0.0433649
+0.0437469
+0.0442086
+0.0447323
+0.0453199
+0.0460044
+0.0467653
+0.0476109
+0.0485408
+0.0495501
+0.0506341
+0.0517882
+0.0530077
+0.0542882
+0.0556256
+0.0570158
+0.0584551
+0.0599399
+0.0614589
+0.0630105
+0.0645992
+0.0662223
+0.0678772
+0.0695618
+0.0914065
+0.0911425
+0.0909305
+0.0907709
+0.090664
+0.0906099
+0.0906088
+0.0906606
+0.0907653
+0.0896184
+0.0878565
+0.0861144
+0.0843931
+0.082694
+0.0810186
+0.0793472
+0.0776874
+0.0760544
+0.0744502
+0.0728764
+0.0713352
+0.0698288
+0.0683594
+0.0669294
+0.0655415
+0.0641983
+0.0629027
+0.0616458
+0.0604389
+0.0592884
+0.0581977
+0.0571701
+0.0562092
+0.055309
+0.0544669
+0.0536952
+0.0529991
+0.0523853
+0.0518569
+0.0514027
+0.0510344
+0.0505437
+0.050082
+0.0497054
+0.0494231
+0.0492215
+0.0490928
+0.0490524
+0.049084
+0.0489338
+0.0488104
+0.0487447
+0.0487773
+0.0489082
+0.0491365
+0.0494608
+0.0498782
+0.0503619
+0.0496569
+0.0489107
+0.0482525
+0.0476859
+0.0472055
+0.0468223
+0.0465255
+0.0463241
+0.0460804
+0.0458806
+0.0457679
+0.0455368
+0.0452971
+0.0451321
+0.0450557
+0.045015
+0.0450648
+0.0452207
+0.0454818
+0.0458462
+0.0462962
+0.046787
+0.0473491
+0.0480047
+0.0487364
+0.0495484
+0.0504425
+0.0514145
+0.05246
+0.0535748
+0.0547545
+0.0559951
+0.0572927
+0.0586434
+0.0600436
+0.0614901
+0.0629795
+0.0644998
+0.0660527
+0.0676409
+0.069262
+0.0709137
+0.088735
+0.0867897
+0.0848564
+0.0829358
+0.0810237
+0.0791253
+0.0772424
+0.0753761
+0.0735277
+0.071698
+0.0698829
+0.0680898
+0.0663206
+0.0645773
+0.062862
+0.0611768
+0.0595198
+0.0578983
+0.0563153
+0.0547651
+0.0532576
+0.0517989
+0.0503932
+0.0490451
+0.0477594
+0.0465415
+0.0453966
+0.0443233
+0.0433199
+0.0424061
+0.0415877
+0.0408705
+0.0402598
+0.0397606
+0.0393771
+0.0391128
+0.03897
+0.0389501
+0.0390532
+0.0392758
+0.0395976
+0.0400369
+0.0405899
+0.0412519
+0.0420178
+0.042882
+0.0438388
+0.0448822
+0.0460064
+0.0472055
+0.0483724
+0.0495552
+0.0507713
+0.0520511
+0.0533902
+0.0547842
+0.056229
+0.0577208
+0.0592561
+0.0606877
+0.0620352
+0.0634297
+0.0648656
+0.066312
+0.0677983
+0.0693156
+0.0708664
+0.0724386
+0.0739909
+0.0755631
+0.0771652
+0.0787951
+0.0793546
+0.0792898
+0.079181
+0.0791297
+0.0791391
+0.0792056
+0.0793243
+0.0795033
+0.079742
+0.08004
+0.0803888
+0.0807918
+0.0812519
+0.0817681
+0.0823394
+0.0829647
+0.0836293
+0.0843367
+0.0850942
+0.0858907
+0.0867351
+0.0876261
+0.0885624
+0.0895424
+0.0905649
+0.0916284
+0.0927182
+0.0938342
+0.0877744
+0.0858073
+0.0838513
+0.0819072
+0.0799759
+0.0780578
+0.0761485
+0.0742547
+0.0723777
+0.0705185
+0.0686763
+0.0668551
+0.0650546
+0.0632764
+0.0615248
+0.0598022
+0.0581092
+0.0564471
+0.0548223
+0.053238
+0.0516949
+0.0501908
+0.0487388
+0.0473436
+0.0460104
+0.0447449
+0.0435528
+0.0424404
+0.0413965
+0.0404392
+0.0395802
+0.0388259
+0.0381826
+0.0376558
+0.0372507
+0.0369712
+0.03682
+0.036799
+0.0369081
+0.037136
+0.0374762
+0.0379401
+0.0385231
+0.03922
+0.0400249
+0.0409312
+0.0419325
+0.0430222
+0.0441937
+0.0453611
+0.0465261
+0.0477259
+0.0489874
+0.0503127
+0.0516968
+0.0531352
+0.0546237
+0.0561581
+0.0576394
+0.0589752
+0.0603609
+0.0617933
+0.063237
+0.0647197
+0.0662355
+0.0677859
+0.0693666
+0.0709185
+0.0724919
+0.0740956
+0.0757271
+0.0773757
+0.0780276
+0.0778524
+0.0777386
+0.0776864
+0.0776959
+0.0777672
+0.077891
+0.0780733
+0.0783164
+0.0786198
+0.0789783
+0.0793885
+0.0798567
+0.0803819
+0.080963
+0.0815988
+0.0822823
+0.0830012
+0.0837709
+0.08458
+0.0854373
+0.0863417
+0.0872918
+0.088286
+0.0893228
+0.0903855
+0.0914825
+0.0926132
+0.0868584
+0.0848701
+0.082892
+0.0809248
+0.0789695
+0.0770267
+0.0750977
+0.0731818
+0.0712765
+0.0693878
+0.0675148
+0.0656614
+0.0638294
+0.0620207
+0.0602373
+0.0584771
+0.0567465
+0.0550449
+0.0533774
+0.051749
+0.0501633
+0.0486246
+0.0471281
+0.0456838
+0.0443007
+0.0429849
+0.0417425
+0.0405805
+0.0395009
+0.0384966
+0.0375932
+0.0367982
+0.0361187
+0.0355614
+0.0351322
+0.0348356
+0.0346752
+0.0346528
+0.0347687
+0.0350025
+0.0353633
+0.0358545
+0.0364709
+0.0372062
+0.0380537
+0.0390059
+0.0400554
+0.0411947
+0.0423623
+0.0434973
+0.0446878
+0.0459283
+0.0472377
+0.0486107
+0.050042
+0.0515266
+0.0530602
+0.0545968
+0.0559194
+0.0572953
+0.0587207
+0.0601643
+0.0616432
+0.0631571
+0.0647071
+0.0662933
+0.0678485
+0.069423
+0.0710285
+0.072661
+0.0743129
+0.0759921
+0.0765877
+0.0764335
+0.0763215
+0.0762683
+0.076278
+0.0763506
+0.0764859
+0.0766791
+0.0769267
+0.0772355
+0.0776016
+0.078019
+0.0784954
+0.0790296
+0.0796206
+0.080267
+0.0809675
+0.0817026
+0.0824846
+0.0833063
+0.0841766
+0.0850944
+0.0860582
+0.0870633
+0.0880927
+0.089164
+0.0902758
+0.0914207
+0.0859885
+0.0839796
+0.08198
+0.0799904
+0.0780116
+0.0760444
+0.0740898
+0.0721487
+0.0702223
+0.0683087
+0.0664052
+0.06452
+0.0626546
+0.0608109
+0.058991
+0.0571971
+0.0554317
+0.0536955
+0.0519848
+0.0503112
+0.0486788
+0.0470916
+0.0455546
+0.0440704
+0.042635
+0.0412661
+0.0399704
+0.0387553
+0.0376286
+0.036582
+0.03563
+0.0347902
+0.0340707
+0.0334794
+0.033023
+0.0327074
+0.0325365
+0.0325126
+0.0326354
+0.0328766
+0.0332604
+0.0337822
+0.0344357
+0.0352136
+0.0361078
+0.03711
+0.0382116
+0.0393788
+0.0404789
+0.0416582
+0.0428747
+0.0441661
+0.0455263
+0.0469493
+0.0484297
+0.0499623
+0.0515424
+0.0528686
+0.0542334
+0.055651
+0.0570945
+0.0585689
+0.0600807
+0.0616303
+0.0632177
+0.0647811
+0.0663569
+0.0679642
+0.0695977
+0.0712532
+0.072937
+0.0746471
+0.0751634
+0.0750063
+0.0749129
+0.0748835
+0.0748934
+0.0749674
+0.0751052
+0.0753065
+0.0755684
+0.0758828
+0.0762588
+0.0766865
+0.0771711
+0.0777145
+0.0783153
+0.0789724
+0.0796843
+0.0804428
+0.0812369
+0.0820713
+0.0829545
+0.0838857
+0.0848504
+0.0858504
+0.0868942
+0.0879801
+0.0891053
+0.0902601
+0.0851661
+0.0831373
+0.0811169
+0.0791056
+0.0771041
+0.0751132
+0.0731337
+0.0711665
+0.0692128
+0.0672736
+0.06535
+0.0634337
+0.0615354
+0.0596571
+0.0578009
+0.0559688
+0.0541634
+0.0523874
+0.0506439
+0.0489294
+0.0472492
+0.0456123
+0.0440237
+0.0424886
+0.0410131
+0.0395939
+0.0382416
+0.0369698
+0.0357869
+0.0346948
+0.0336896
+0.0328001
+0.0320359
+0.0314063
+0.0309194
+0.030582
+0.0303992
+0.0303736
+0.030502
+0.0307597
+0.0311696
+0.0317258
+0.0324208
+0.0332458
+0.0341916
+0.0352483
+0.0364062
+0.0374736
+0.038628
+0.0398281
+0.0410984
+0.0424438
+0.0438575
+0.0453329
+0.0468644
+0.0484465
+0.0498236
+0.0511759
+0.0525846
+0.0540278
+0.0554972
+0.0570067
+0.0585557
+0.0601445
+0.0617169
+0.0632939
+0.0649031
+0.0665375
+0.068197
+0.0698858
+0.0716017
+0.073343
+0.0737765
+0.0736166
+0.0735215
+0.0734915
+0.0735268
+0.0736233
+0.0737637
+0.0739686
+0.0742377
+0.074564
+0.0749467
+0.0753911
+0.075887
+0.0764395
+0.0770503
+0.0777181
+0.0784414
+0.0792187
+0.0800298
+0.0808768
+0.0817729
+0.0826943
+0.0836628
+0.0846768
+0.0857349
+0.0868323
+0.0879639
+0.0891335
+0.0843925
+0.0823447
+0.0803043
+0.0782722
+0.0762488
+0.0742349
+0.0722313
+0.0702389
+0.0682586
+0.0662916
+0.064339
+0.0623983
+0.0604737
+0.0585626
+0.0566705
+0.0548007
+0.0529554
+0.0511375
+0.0493498
+0.0475958
+0.0458794
+0.0441921
+0.0425505
+0.0409602
+0.0394276
+0.0379595
+0.0365624
+0.03523
+0.0339866
+0.0328425
+0.0317809
+0.0308365
+0.0300224
+0.0293496
+0.028828
+0.0284658
+0.0282693
+0.0282418
+0.02837
+0.0286469
+0.0290865
+0.0296818
+0.0304235
+0.0313013
+0.032304
+0.0334204
+0.0344846
+0.0356012
+0.03679
+0.0380356
+0.0393638
+0.0407666
+0.0422364
+0.0437665
+0.0453509
+0.0467856
+0.0481235
+0.0495222
+0.050965
+0.0524287
+0.0539355
+0.0554837
+0.0570739
+0.0586561
+0.0602344
+0.0618454
+0.063481
+0.0651447
+0.0668388
+0.068561
+0.0703093
+0.0720811
+0.0723886
+0.0722667
+0.0721697
+0.0721392
+0.0721752
+0.0722776
+0.0724462
+0.0726722
+0.072946
+0.0732843
+0.0736764
+0.0741284
+0.074642
+0.0752067
+0.0758274
+0.0765059
+0.0772406
+0.0780298
+0.078865
+0.0797145
+0.0805997
+0.0815342
+0.0825163
+0.0835443
+0.0846117
+0.0857166
+0.0868627
+0.0880469
+0.0836637
+0.0815992
+0.0795414
+0.0774909
+0.0754474
+0.0734115
+0.0713848
+0.0693681
+0.0673623
+0.0653683
+0.063387
+0.0614158
+0.0594599
+0.0575209
+0.0556007
+0.0536965
+0.051812
+0.0499524
+0.0481207
+0.0463202
+0.0445547
+0.0428285
+0.041141
+0.0394943
+0.0379024
+0.0363729
+0.0349138
+0.0335345
+0.0322347
+0.031026
+0.029911
+0.0289055
+0.0280354
+0.0273137
+0.0267524
+0.0263618
+0.0261494
+0.0261197
+0.0262445
+0.0265435
+0.0270175
+0.0276573
+0.0284519
+0.0293886
+0.0304543
+0.0315168
+0.0325878
+0.0337614
+0.0349791
+0.0362869
+0.0376768
+0.0391401
+0.0406687
+0.0422557
+0.043756
+0.0450774
+0.0464644
+0.0479067
+0.0493638
+0.0508676
+0.0524148
+0.0540065
+0.0555995
+0.0571784
+0.0587913
+0.0604288
+0.062097
+0.0637968
+0.0655257
+0.0672815
+0.0690581
+0.0708535
+0.0709906
+0.0708824
+0.0708361
+0.0708289
+0.0708655
+0.0709698
+0.0711415
+0.0713799
+0.07168
+0.0720372
+0.0724441
+0.0729044
+0.0734272
+0.0740076
+0.0746386
+0.0753281
+0.0760744
+0.076876
+0.077725
+0.0785715
+0.0794694
+0.080417
+0.0814126
+0.0824478
+0.0835238
+0.0846429
+0.0858033
+0.087002
+0.0829801
+0.0808982
+0.0788221
+0.0767523
+0.0746895
+0.0726342
+0.070587
+0.0685487
+0.0665201
+0.0645021
+0.0624957
+0.0604966
+0.05851
+0.0565385
+0.0545837
+0.0526475
+0.050732
+0.0488368
+0.0469617
+0.045115
+0.0433004
+0.041522
+0.0397849
+0.0380922
+0.036445
+0.0348517
+0.0333262
+0.0318783
+0.030519
+0.0292608
+0.0280875
+0.0270142
+0.026081
+0.0253037
+0.0246967
+0.024273
+0.0240422
+0.0240021
+0.0241306
+0.0244556
+0.0249692
+0.0256601
+0.0265146
+0.0275173
+0.0285767
+0.0295919
+0.0307301
+0.0319305
+0.0332139
+0.0345886
+0.0360441
+0.0375709
+0.0391609
+0.0407368
+0.0420388
+0.0434124
+0.044851
+0.0463034
+0.0478035
+0.0493495
+0.0509428
+0.0525478
+0.054127
+0.055742
+0.0573815
+0.0590545
+0.0607604
+0.0624965
+0.0642603
+0.0660418
+0.0678463
+0.069673
+0.0695598
+0.0694569
+0.0694229
+0.069458
+0.0695622
+0.0697064
+0.0698811
+0.0701239
+0.0704212
+0.0707847
+0.0712138
+0.0717023
+0.0722461
+0.0728432
+0.0734933
+0.0741934
+0.074951
+0.0757644
+0.0766149
+0.0774736
+0.0783841
+0.0793446
+0.080345
+0.0813899
+0.0824798
+0.0836128
+0.0847874
+0.0860002
+0.0823492
+0.0802509
+0.0781576
+0.0760698
+0.0739879
+0.0719126
+0.0698442
+0.0677836
+0.0657313
+0.0636883
+0.0616555
+0.0596338
+0.0576244
+0.055625
+0.0536369
+0.0516653
+0.0497119
+0.0477792
+0.0458696
+0.043985
+0.0421227
+0.0402924
+0.0384998
+0.0367503
+0.0350499
+0.0333988
+0.0318101
+0.0302899
+0.028856
+0.0275218
+0.0262997
+0.0251714
+0.0241673
+0.0233262
+0.0226664
+0.022204
+0.0219514
+0.0218909
+0.0220318
+0.0223872
+0.0229472
+0.0236972
+0.0246153
+0.0256561
+0.0266195
+0.0277066
+0.0288926
+0.0301461
+0.0315023
+0.0329484
+0.0344732
+0.0360667
+0.0376786
+0.0390097
+0.0403675
+0.0417961
+0.0432484
+0.0447441
+0.0462886
+0.0478836
+0.0495019
+0.0510812
+0.052698
+0.0543399
+0.0560181
+0.0577306
+0.0594745
+0.0612438
+0.0630334
+0.0648477
+0.0666846
+0.0683446
+0.0681695
+0.0680644
+0.0680297
+0.0680656
+0.0681718
+0.0683482
+0.0685941
+0.0689011
+0.0692088
+0.0695786
+0.0700151
+0.070517
+0.0710829
+0.0716991
+0.0723752
+0.0730993
+0.0738754
+0.0747006
+0.075552
+0.0764226
+0.0773455
+0.0783084
+0.0793196
+0.0803778
+0.0814812
+0.082628
+0.0838163
+0.085043
+0.0817721
+0.0796585
+0.0775493
+0.0754447
+0.0733451
+0.071251
+0.0691629
+0.0670813
+0.0650069
+0.0629404
+0.0608825
+0.0588343
+0.0567967
+0.0547709
+0.0527583
+0.0507586
+0.048769
+0.0467973
+0.044846
+0.0429177
+0.0410158
+0.0391439
+0.0372992
+0.0354906
+0.0337273
+0.0320169
+0.0303604
+0.0287738
+0.0272675
+0.0258516
+0.0245465
+0.0233609
+0.0223044
+0.0213902
+0.0206687
+0.0201605
+0.0198765
+0.0197906
+0.0199463
+0.0203382
+0.020953
+0.0217645
+0.0227248
+0.0236793
+0.0247015
+0.0258651
+0.0270852
+0.0284186
+0.0298533
+0.0313756
+0.0329732
+0.0345869
+0.0359922
+0.0373312
+0.0387479
+0.0401999
+0.0416904
+0.043233
+0.0448296
+0.0464628
+0.0480421
+0.0496604
+0.0513051
+0.0529888
+0.0547084
+0.0564607
+0.0582348
+0.0600342
+0.0618589
+0.0637066
+0.0655754
+0.0669878
+0.066822
+0.0667148
+0.0666794
+0.066716
+0.0668244
+0.0670043
+0.0672551
+0.0675761
+0.0679661
+0.0684115
+0.0688653
+0.0693755
+0.0699506
+0.070589
+0.0712827
+0.0720244
+0.0728171
+0.0736664
+0.0745384
+0.0754193
+0.0763431
+0.077318
+0.078342
+0.0794133
+0.0805299
+0.08169
+0.0828918
+0.084132
+0.0812408
+0.0791183
+0.076998
+0.0748784
+0.0727625
+0.0706511
+0.0685448
+0.0664438
+0.0643489
+0.0622605
+0.0601794
+0.0581064
+0.0560423
+0.0539883
+0.0519453
+0.0499149
+0.0478987
+0.0458984
+0.0439078
+0.0419365
+0.0399879
+0.0380658
+0.0361741
+0.0343181
+0.0324981
+0.0307193
+0.028997
+0.0273356
+0.0257489
+0.0242565
+0.0228688
+0.0215913
+0.0204692
+0.0194765
+0.0186812
+0.0181174
+0.0178052
+0.0177101
+0.017884
+0.01832
+0.0189913
+0.0198442
+0.020785
+0.0217227
+0.0228328
+0.0240338
+0.0253383
+0.0267589
+0.028278
+0.0298806
+0.0314965
+0.032984
+0.0343061
+0.0357084
+0.0371596
+0.0386438
+0.0401839
+0.0417822
+0.0434321
+0.045011
+0.0466303
+0.0482783
+0.049968
+0.0516952
+0.0534543
+0.0552357
+0.0570455
+0.0588813
+0.0607406
+0.0626213
+0.0645216
+0.0656603
+0.0654921
+0.0653969
+0.0653746
+0.0654119
+0.0655225
+0.065706
+0.0659617
+0.0662889
+0.0666865
+0.067147
+0.0676678
+0.068255
+0.0688685
+0.0695177
+0.0702285
+0.0709895
+0.0717983
+0.0726641
+0.0735727
+0.074455
+0.0753907
+0.0763777
+0.0774142
+0.0784981
+0.079621
+0.0807281
+0.0818248
+0.0828699
+0.0807542
+0.0786186
+0.0764861
+0.074357
+0.0722315
+0.0701101
+0.0679911
+0.0658731
+0.0637594
+0.0616511
+0.0595487
+0.0574529
+0.0553645
+0.0532843
+0.0512133
+0.0491527
+0.0471038
+0.0450682
+0.0430479
+0.0410451
+0.039056
+0.0370855
+0.0351412
+0.0332275
+0.0313501
+0.0295159
+0.0277304
+0.0259955
+0.0243291
+0.0227438
+0.0212662
+0.0199057
+0.0186825
+0.0176274
+0.0167445
+0.016113
+0.0157631
+0.0156546
+0.015851
+0.0163353
+0.0170402
+0.0179582
+0.0187825
+0.0198152
+0.020996
+0.0222631
+0.0236655
+0.0251806
+0.0267894
+0.0284077
+0.0299331
+0.0312952
+0.0326799
+0.0341298
+0.0356061
+0.037143
+0.0387428
+0.0403982
+0.0419898
+0.0436093
+0.0452612
+0.0469572
+0.0486927
+0.0504563
+0.0522481
+0.0540692
+0.0559169
+0.0577885
+0.0596818
+0.0615949
+0.0635259
+0.0643767
+0.0642085
+0.0641114
+0.0640891
+0.0641416
+0.0642688
+0.064456
+0.0647167
+0.0650501
+0.0654553
+0.0659197
+0.0664501
+0.0670479
+0.0677114
+0.0684386
+0.0692019
+0.0699844
+0.0708261
+0.0717037
+0.0726367
+0.0735433
+0.0744351
+0.075373
+0.0763397
+0.0773547
+0.0784178
+0.0795271
+0.0805641
+0.0816253
+0.0803133
+0.0781702
+0.0760298
+0.07389
+0.0717507
+0.0696146
+0.0674821
+0.0653533
+0.0632288
+0.061109
+0.0589921
+0.0568763
+0.0547659
+0.0526621
+0.0505656
+0.0484775
+0.0463988
+0.0443309
+0.0422753
+0.0402341
+0.0382094
+0.036204
+0.0342175
+0.032249
+0.0303111
+0.0284099
+0.0265533
+0.0247515
+0.0230161
+0.0213465
+0.0197642
+0.0183076
+0.0169907
+0.0158456
+0.0148784
+0.014164
+0.0137464
+0.0136218
+0.0138447
+0.0143389
+0.0151371
+0.0159023
+0.0168269
+0.0179708
+0.0191952
+0.0205735
+0.0220834
+0.0236999
+0.0253212
+0.026893
+0.0283031
+0.0296657
+0.0311067
+0.0325797
+0.0341123
+0.0357135
+0.0373746
+0.0389806
+0.0405998
+0.0422558
+0.0439586
+0.045702
+0.0474713
+0.0492742
+0.0511074
+0.0529677
+0.0548525
+0.0567592
+0.0586858
+0.0606303
+0.0625911
+0.0631344
+0.0629739
+0.0628759
+0.0628531
+0.0629067
+0.0630364
+0.0632418
+0.0635221
+0.0638625
+0.0642734
+0.0647432
+0.0652832
+0.0658916
+0.0665666
+0.0673061
+0.0681081
+0.0689704
+0.0698647
+0.0707435
+0.071516
+0.0723466
+0.0732234
+0.0741517
+0.0751324
+0.0761635
+0.0772429
+0.0782916
+0.0792946
+0.0803247
+0.0799156
+0.0777615
+0.0756095
+0.0734598
+0.0713127
+0.0691682
+0.0670267
+0.0648885
+0.062754
+0.0606191
+0.0584868
+0.0563589
+0.0542361
+0.0521188
+0.050005
+0.047893
+0.0457878
+0.043691
+0.0416039
+0.039528
+0.0374651
+0.0354176
+0.0333883
+0.0313807
+0.0293989
+0.0274345
+0.0255071
+0.0236256
+0.0218019
+0.0200518
+0.0183835
+0.0168078
+0.0153833
+0.0141538
+0.0131042
+0.012287
+0.0117918
+0.0116463
+0.0118308
+0.0124055
+0.0131071
+0.0138869
+0.0149368
+0.0161388
+0.0174836
+0.0189865
+0.020613
+0.022238
+0.0238553
+0.0253164
+0.0266708
+0.0280967
+0.0295662
+0.0310949
+0.0326971
+0.0343644
+0.0359865
+0.0376048
+0.0392648
+0.0409748
+0.042722
+0.0445016
+0.0463165
+0.0481626
+0.0500366
+0.0519353
+0.0538562
+0.055797
+0.0577557
+0.0597305
+0.0617198
+0.0619448
+0.0617815
+0.0616935
+0.0616703
+0.0617249
+0.0618571
+0.0620664
+0.062352
+0.0627128
+0.0631359
+0.0636205
+0.0641699
+0.0647888
+0.0654751
+0.0662269
+0.0670418
+0.0679176
+0.068777
+0.0695083
+0.0702944
+0.0711392
+0.0720304
+0.0729739
+0.0739702
+0.0750173
+0.0760286
+0.0769795
+0.077973
+0.0790017
+0.0794946
+0.0773501
+0.0752082
+0.0730692
+0.0709279
+0.0687758
+0.0666217
+0.0644701
+0.0623212
+0.0601753
+0.0580327
+0.0558939
+0.0537593
+0.0516294
+0.0495048
+0.047379
+0.0452591
+0.0431461
+0.0410362
+0.0389316
+0.0368362
+0.0347517
+0.0326811
+0.0306272
+0.0285936
+0.0265849
+0.0246074
+0.0226561
+0.0207473
+0.0188999
+0.0171335
+0.0154677
+0.0139073
+0.0125369
+0.011381
+0.0104531
+0.00984846
+0.00967084
+0.00989218
+0.010461
+0.0110336
+0.0119334
+0.013102
+0.0143972
+0.01589
+0.0175246
+0.0191596
+0.0208313
+0.0222925
+0.0237024
+0.0251081
+0.0265623
+0.0280951
+0.0296976
+0.0313713
+0.0330115
+0.0346278
+0.0362918
+0.0380091
+0.0397598
+0.0415508
+0.0433785
+0.0452384
+0.0471268
+0.0490403
+0.0509762
+0.0529319
+0.0549054
+0.0568948
+0.0588984
+0.0609119
+0.0607633
+0.0606274
+0.0605571
+0.0605436
+0.0605993
+0.0607339
+0.060947
+0.0612378
+0.0616052
+0.0620359
+0.0625374
+0.0631109
+0.0637422
+0.0644397
+0.0652033
+0.0659712
+0.06675
+0.067561
+0.0683209
+0.0691205
+0.0699796
+0.0708732
+0.0718188
+0.072818
+0.0738061
+0.0747123
+0.0756597
+0.0766536
+0.0776965
+0.0790849
+0.0769289
+0.074775
+0.0726232
+0.0704738
+0.0683271
+0.0661832
+0.0640425
+0.0619053
+0.0597598
+0.0576098
+0.055463
+0.0533197
+0.0511805
+0.0490458
+0.0469079
+0.0447648
+0.0426266
+0.040494
+0.0383679
+0.0362496
+0.0341403
+0.032042
+0.0299506
+0.0278606
+0.0257874
+0.0237353
+0.0217103
+0.0197208
+0.0177786
+0.0159011
+0.0141142
+0.0124461
+0.010898
+0.00960324
+0.00867621
+0.00803051
+0.00776205
+0.0080359
+0.00831004
+0.00899447
+0.010078
+0.0113173
+0.0127944
+0.0144384
+0.0160887
+0.0178305
+0.0192922
+0.0207719
+0.0221496
+0.0235828
+0.0251191
+0.0267205
+0.0284007
+0.0300615
+0.0316742
+0.0333416
+0.0350611
+0.0368199
+0.038623
+0.0404643
+0.0423389
+0.0442426
+0.0461717
+0.0481233
+0.0500946
+0.0520834
+0.0540879
+0.0561035
+0.0580542
+0.0597939
+0.0595754
+0.0594369
+0.0593789
+0.0594017
+0.0595052
+0.0596595
+0.0598764
+0.0601723
+0.0605461
+0.0609946
+0.0615047
+0.0620878
+0.062742
+0.0634178
+0.0640779
+0.0648053
+0.0655818
+0.0663823
+0.0671318
+0.0679315
+0.0687917
+0.0696905
+0.0706389
+0.0716382
+0.0724947
+0.0734008
+0.0743604
+0.0753714
+0.076428
+0.078734
+0.0765682
+0.0744038
+0.0722409
+0.0700799
+0.0679207
+0.0657635
+0.0636087
+0.0614564
+0.059307
+0.0571606
+0.0550178
+0.0528789
+0.0507444
+0.0485927
+0.0464424
+0.0442961
+0.0421543
+0.0400178
+0.0378852
+0.0357382
+0.0335969
+0.0314624
+0.0293361
+0.0272201
+0.0251169
+0.0230273
+0.0209339
+0.0188627
+0.0168217
+0.0148235
+0.0128881
+0.0110484
+0.00935492
+0.00781232
+0.00663968
+0.00602245
+0.0059718
+0.00595712
+0.00618697
+0.00704684
+0.00825094
+0.00970028
+0.0113586
+0.0130271
+0.0147895
+0.0163208
+0.0178514
+0.0192352
+0.0206382
+0.0221694
+0.0237684
+0.0254549
+0.0271442
+0.0287509
+0.0304208
+0.0321394
+0.0339083
+0.0357239
+0.0375796
+0.0394697
+0.0413894
+0.0433348
+0.0453026
+0.04729
+0.0492946
+0.0513049
+0.0532582
+0.0552225
+0.0572033
+0.0586683
+0.0584456
+0.0583043
+0.0582452
+0.0582685
+0.058374
+0.0585613
+0.0588297
+0.0591641
+0.0595443
+0.0600015
+0.0605293
+0.0610951
+0.0616595
+0.0622682
+0.0629029
+0.0635999
+0.0643641
+0.0651929
+0.0659625
+0.0667636
+0.0676113
+0.0685184
+0.0694797
+0.0703391
+0.0712051
+0.0721273
+0.0731036
+0.0741278
+0.0751934
+0.0784428
+0.0762687
+0.0740955
+0.0719234
+0.0697525
+0.0675828
+0.0654146
+0.0632479
+0.0610829
+0.0589198
+0.0567588
+0.0546002
+0.0524442
+0.0502913
+0.0481417
+0.0459961
+0.0438549
+0.0417188
+0.0395827
+0.0374276
+0.035277
+0.0331316
+0.0309925
+0.0288612
+0.0267156
+0.0245692
+0.0224314
+0.0203049
+0.0181936
+0.0161036
+0.0140081
+0.0119412
+0.00992751
+0.00800735
+0.00626532
+0.00474185
+0.0038828
+0.00383803
+0.0037825
+0.0041167
+0.0052183
+0.00660991
+0.00829254
+0.00997745
+0.0117698
+0.0133881
+0.0149231
+0.0163862
+0.017746
+0.0192559
+0.0208472
+0.0225394
+0.0242638
+0.0258683
+0.0275347
+0.029254
+0.0310327
+0.0328612
+0.0347317
+0.0366377
+0.0385739
+0.040536
+0.0425205
+0.0445243
+0.0465284
+0.0484826
+0.0504426
+0.0524209
+0.0544155
+0.0564246
+0.0576039
+0.0573771
+0.0572332
+0.057173
+0.0571966
+0.0573041
+0.0574949
+0.0577682
+0.0581229
+0.0585574
+0.059048
+0.0594582
+0.0599368
+0.0604727
+0.0610406
+0.061681
+0.0623918
+0.0631707
+0.064015
+0.0647905
+0.0655618
+0.0663963
+0.0672849
+0.0682261
+0.0690786
+0.0699602
+0.0708963
+0.0718764
+0.0729091
+0.0739923
+0.0782021
+0.0760225
+0.0738436
+0.0716654
+0.069488
+0.0673114
+0.0651358
+0.0629609
+0.060786
+0.058612
+0.0564392
+0.0542679
+0.0520982
+0.0499303
+0.0477645
+0.0456011
+0.0434404
+0.0412829
+0.0391291
+0.0369796
+0.0348352
+0.032697
+0.0305663
+0.028424
+0.026267
+0.024116
+0.0219729
+0.0198402
+0.0177027
+0.015547
+0.0134024
+0.0112756
+0.00917879
+0.00708555
+0.0050364
+0.00317763
+0.00175538
+0.00167106
+0.00163744
+0.00217623
+0.00353314
+0.00525915
+0.00696962
+0.00880464
+0.0105501
+0.0120664
+0.0136345
+0.0149366
+0.016409
+0.0179854
+0.0196797
+0.0214387
+0.023037
+0.0246944
+0.0264168
+0.0282043
+0.0300453
+0.0319304
+0.0338523
+0.0358051
+0.037784
+0.0397846
+0.0417796
+0.0437342
+0.0456879
+0.0476622
+0.0496546
+0.0516631
+0.0536858
+0.0557212
+0.0565539
+0.0563557
+0.0562117
+0.0561504
+0.0561745
+0.0562839
+0.0564781
+0.0567563
+0.0571172
+0.0574733
+0.0578188
+0.0582447
+0.0587423
+0.0592498
+0.0598291
+0.0604823
+0.0612069
+0.0620006
+0.0627811
+0.0635016
+0.0642859
+0.0651088
+0.0659941
+0.0669309
+0.0678518
+0.0687467
+0.0696882
+0.070685
+0.071734
+0.0728148
+0.07802
+0.0758352
+0.0736508
+0.0714667
+0.069283
+0.0670998
+0.0649171
+0.062735
+0.0605535
+0.0583726
+0.0561926
+0.0540133
+0.0518351
+0.049658
+0.0474821
+0.0453075
+0.0431333
+0.0409597
+0.038788
+0.0366184
+0.0344516
+0.032288
+0.0301283
+0.0279734
+0.0258246
+0.0236834
+0.0215522
+0.0194342
+0.0172805
+0.0151208
+0.0129714
+0.0108383
+0.00870472
+0.00654214
+0.0043877
+0.00226462
+0.000171812
+-0.000382479
+-0.000290998
+0.000563958
+0.00230022
+0.00408683
+0.00596922
+0.00789215
+0.00932954
+0.0109749
+0.012267
+0.0136676
+0.0152163
+0.0169043
+0.0186969
+0.0202541
+0.0219087
+0.0236453
+0.0254389
+0.0272905
+0.0291891
+0.0311261
+0.0330948
+0.0350681
+0.0370587
+0.039023
+0.0409671
+0.0429349
+0.0449233
+0.0469297
+0.048952
+0.0509882
+0.0530366
+0.0550961
+0.055567
+0.0553645
+0.0552323
+0.0551867
+0.055219
+0.0553303
+0.0555278
+0.05575
+0.0559791
+0.0562602
+0.0566131
+0.0570479
+0.0575398
+0.0580596
+0.0586507
+0.0593169
+0.0600556
+0.0608568
+0.0615146
+0.0622199
+0.0629936
+0.0638331
+0.064731
+0.0656805
+0.0666718
+0.0675711
+0.0685213
+0.0695081
+0.0705125
+0.0715551
+0.0778992
+0.0757109
+0.0735227
+0.0713347
+0.0691469
+0.0669593
+0.0647719
+0.0625846
+0.0603977
+0.058211
+0.0560247
+0.0538387
+0.0516531
+0.0494679
+0.0472833
+0.0450992
+0.0429158
+0.0407332
+0.0385515
+0.0363709
+0.0341916
+0.0320139
+0.029838
+0.0276645
+0.0254929
+0.0233221
+0.0211545
+0.0189922
+0.0168373
+0.0146896
+0.012554
+0.0104413
+0.00836857
+0.00620481
+0.00404794
+0.00194773
+-0.000109519
+-0.00196767
+-0.00109457
+-7.04126e-05
+0.00159588
+0.00344357
+0.00535058
+0.00690508
+0.00842219
+0.00984248
+0.0111124
+0.012597
+0.0142624
+0.016051
+0.0175764
+0.0192124
+0.0209494
+0.0227577
+0.0246172
+0.0265265
+0.0284593
+0.0304091
+0.0323898
+0.0343642
+0.0362934
+0.0382507
+0.040232
+0.0422341
+0.044254
+0.0462895
+0.0483385
+0.0503995
+0.052471
+0.0545517
+0.0545846
+0.0543963
+0.0542958
+0.0542512
+0.0542932
+0.0543263
+0.0543739
+0.0545095
+0.0547325
+0.0550419
+0.0554362
+0.0558991
+0.0563969
+0.0569271
+0.0575298
+0.0582088
+0.0589614
+0.0595943
+0.0602425
+0.0609625
+0.0617519
+0.0626069
+0.0635128
+0.0644802
+0.0655066
+0.0663723
+0.0672917
+0.0682578
+0.0692645
+0.0703249
+0.0771338
+0.0756498
+0.0734599
+0.0712699
+0.0690801
+0.0668902
+0.0647005
+0.0625108
+0.0603211
+0.0581316
+0.0559421
+0.0537528
+0.0515635
+0.0493744
+0.0471854
+0.0449966
+0.042808
+0.0406196
+0.0384315
+0.0362437
+0.0340562
+0.0318692
+0.0296827
+0.0274969
+0.025312
+0.0231281
+0.0209457
+0.0187652
+0.0165873
+0.0144134
+0.0122455
+0.0100815
+0.00791511
+0.00575577
+0.00361562
+0.0015605
+-0.000329682
+-0.000520147
+0.000684423
+0.00118359
+0.00188071
+0.00332136
+0.00508434
+0.00636224
+0.00776055
+0.00886626
+0.0102452
+0.011839
+0.0135936
+0.0150336
+0.0166383
+0.0183615
+0.0201505
+0.0220123
+0.0239178
+0.025839
+0.0278
+0.0297825
+0.0316877
+0.0336276
+0.0355967
+0.0375903
+0.0396047
+0.0416369
+0.0436845
+0.0457453
+0.0478177
+0.0499001
+0.0519915
+0.0539022
+0.0536328
+0.0534412
+0.0532319
+0.0530973
+0.0530517
+0.0530764
+0.0531253
+0.0532644
+0.0534928
+0.0538096
+0.0542131
+0.0547014
+0.0552284
+0.0557968
+0.056443
+0.057135
+0.057768
+0.0583543
+0.0590161
+0.0597509
+0.0605562
+0.0614249
+0.0623478
+0.063333
+0.0642409
+0.0651169
+0.0660538
+0.0670231
+0.0680477
+0.0691258
+0.0757665
+0.0746686
+0.0734623
+0.0712724
+0.0690826
+0.0668929
+0.0647032
+0.0625136
+0.0603241
+0.0581347
+0.0559453
+0.0537561
+0.051567
+0.049378
+0.0471892
+0.0450006
+0.042812
+0.0406215
+0.0384311
+0.0362407
+0.0340504
+0.0318601
+0.0296698
+0.0274797
+0.0252896
+0.0230996
+0.0209098
+0.0187202
+0.0165309
+0.014342
+0.0121537
+0.00996656
+0.00778136
+0.00560044
+0.00342866
+0.00127749
+-0.000769202
+0.000692831
+0.0022
+0.00270887
+0.00308891
+0.00409901
+0.00519799
+0.00634203
+0.00721132
+0.00834789
+0.00980004
+0.0113747
+0.0126889
+0.0142209
+0.0159077
+0.017695
+0.0195287
+0.0214145
+0.0233361
+0.0253014
+0.0271845
+0.0290949
+0.0310422
+0.0330201
+0.0350234
+0.0370478
+0.0390902
+0.0411479
+0.0432186
+0.0453006
+0.0473923
+0.0492847
+0.0511595
+0.0527989
+0.0524816
+0.0522121
+0.0519825
+0.0518447
+0.0517974
+0.0518233
+0.0518734
+0.0520158
+0.0522497
+0.0525739
+0.0529869
+0.0534864
+0.0540596
+0.0546402
+0.0553014
+0.0560406
+0.0565696
+0.0571682
+0.0578436
+0.0585931
+0.059414
+0.0602984
+0.0612381
+0.0621756
+0.0630044
+0.0638953
+0.0648261
+0.0658119
+0.0668439
+0.0679269
+0.0743861
+0.073321
+0.0722509
+0.071181
+0.0691168
+0.0669268
+0.0647368
+0.0625469
+0.0603571
+0.0581673
+0.0559776
+0.053788
+0.0515984
+0.049409
+0.0472197
+0.0450305
+0.0428415
+0.0406526
+0.038464
+0.0362756
+0.0340875
+0.0318997
+0.0297101
+0.0275196
+0.0253292
+0.0231388
+0.0209485
+0.0187583
+0.0165682
+0.0143783
+0.0121886
+0.00999944
+0.0078111
+0.00562458
+0.00344336
+0.00129453
+7.75266e-05
+0.00145866
+0.00315221
+0.00397671
+0.00437387
+0.00503466
+0.00581316
+0.00656345
+0.00720617
+0.00834344
+0.00957862
+0.0107334
+0.0121174
+0.0137133
+0.0154362
+0.017229
+0.0190865
+0.0209926
+0.0228447
+0.0247021
+0.0266103
+0.0285591
+0.0305407
+0.0325491
+0.0345796
+0.0366273
+0.0386878
+0.0407616
+0.0425762
+0.0444102
+0.0462751
+0.0481675
+0.0500842
+0.0515891
+0.051242
+0.0509868
+0.0507702
+0.0506474
+0.0505916
+0.0505664
+0.0506361
+0.0508002
+0.0510579
+0.051402
+0.0518242
+0.0523349
+0.0529152
+0.0535108
+0.0541885
+0.0549019
+0.0554319
+0.0560426
+0.0567314
+0.0574955
+0.0583267
+0.0592167
+0.0601733
+0.0609702
+0.0618016
+0.0626941
+0.0636356
+0.0646285
+0.0656751
+0.0667639
+0.0729395
+0.0719088
+0.0709133
+0.0698856
+0.0686428
+0.0669992
+0.0648102
+0.0626213
+0.0604326
+0.058244
+0.0560556
+0.0538673
+0.0516793
+0.0494915
+0.0473039
+0.0451167
+0.0429298
+0.0407433
+0.0385574
+0.0363719
+0.0341872
+0.0320032
+0.0298203
+0.0276385
+0.0254583
+0.0232801
+0.0211045
+0.0189323
+0.0167649
+0.0146045
+0.0124547
+0.0103221
+0.00822016
+0.00611256
+0.00407303
+0.00229611
+0.00162487
+0.00263879
+0.00383873
+0.004531
+0.00485197
+0.00542971
+0.00643518
+0.00716749
+0.00776816
+0.00853716
+0.00933651
+0.0104708
+0.0118736
+0.0134846
+0.0152114
+0.0170061
+0.0187817
+0.0205395
+0.0223739
+0.0242672
+0.0262026
+0.0281736
+0.0301749
+0.0322009
+0.0342249
+0.035951
+0.0377254
+0.0395416
+0.041394
+0.0432781
+0.0451898
+0.0471258
+0.0490832
+0.0504155
+0.0500602
+0.0497989
+0.0495851
+0.0494581
+0.0493946
+0.0493688
+0.0494402
+0.0496083
+0.0498721
+0.0502302
+0.0506806
+0.0512208
+0.0517898
+0.0523983
+0.0530902
+0.0538182
+0.0543588
+0.0549814
+0.0556833
+0.0564562
+0.0572915
+0.0581974
+0.058988
+0.0597952
+0.0606404
+0.0615364
+0.0624861
+0.0634756
+0.0645133
+0.0655992
+0.071433
+0.0704372
+0.0694635
+0.0685016
+0.0674155
+0.0661467
+0.0649268
+0.0627502
+0.0605661
+0.0583825
+0.0561995
+0.0540171
+0.0518354
+0.0496544
+0.0474744
+0.0452954
+0.0431176
+0.0409411
+0.0387663
+0.0365933
+0.0344226
+0.0322546
+0.0300899
+0.0279293
+0.0257737
+0.0236246
+0.0214838
+0.0193543
+0.01724
+0.0151239
+0.0130251
+0.0109606
+0.008945
+0.00702478
+0.00531791
+0.00394984
+0.00344618
+0.00395695
+0.00483264
+0.00490181
+0.00528853
+0.00602611
+0.00695475
+0.00785438
+0.00852034
+0.00882571
+0.00952533
+0.0106188
+0.012006
+0.0135543
+0.0151584
+0.0167605
+0.0184476
+0.0202262
+0.0220789
+0.0239887
+0.0259429
+0.0277946
+0.0294653
+0.031147
+0.0328888
+0.0346815
+0.0365176
+0.038391
+0.0402963
+0.0422294
+0.0441865
+0.0461633
+0.0480634
+0.0492764
+0.048913
+0.0486352
+0.0484431
+0.0483102
+0.0482036
+0.0481965
+0.0482888
+0.0484801
+0.048756
+0.0491222
+0.0495647
+0.0500798
+0.0506805
+0.0513551
+0.052052
+0.0528031
+0.053354
+0.0539882
+0.0546974
+0.0554727
+0.0563226
+0.0570688
+0.0578235
+0.0586091
+0.0594413
+0.0603248
+0.0612593
+0.0622569
+0.063308
+0.0644098
+0.0699476
+0.068932
+0.0679719
+0.0670526
+0.0661264
+0.0649461
+0.0637035
+0.0625123
+0.0606358
+0.0584563
+0.0562777
+0.0541
+0.0519235
+0.0497481
+0.0475742
+0.045402
+0.0432315
+0.0410632
+0.0388975
+0.0367346
+0.0345753
+0.0324202
+0.0302702
+0.0281265
+0.0259907
+0.0238647
+0.0217516
+0.0196555
+0.0175825
+0.0155418
+0.0135142
+0.0115065
+0.00956745
+0.00773314
+0.00613719
+0.0049533
+0.00444489
+0.00475232
+0.00560574
+0.00568399
+0.00584938
+0.0063466
+0.00705646
+0.00822274
+0.00917091
+0.00942309
+0.0100888
+0.0111318
+0.0123705
+0.0136003
+0.0150502
+0.0166396
+0.0183101
+0.0198464
+0.02138
+0.0230202
+0.0247457
+0.0263778
+0.0280736
+0.029834
+0.0316481
+0.0335072
+0.0354043
+0.0373335
+0.0392902
+0.0412704
+0.0431981
+0.0451166
+0.047059
+0.0479169
+0.0475431
+0.047268
+0.0470884
+0.0469954
+0.0469327
+0.0469254
+0.0470202
+0.0472166
+0.0475133
+0.0478805
+0.0483145
+0.0488429
+0.0494628
+0.0501705
+0.0509567
+0.0517924
+0.0524212
+0.0530613
+0.053771
+0.0545595
+0.0552118
+0.0558936
+0.0565962
+0.057374
+0.0582238
+0.0591224
+0.0600756
+0.0610881
+0.062152
+0.0632562
+0.0685001
+0.0674627
+0.0664813
+0.0655585
+0.0646864
+0.0637981
+0.0625327
+0.0613195
+0.0601531
+0.0584899
+0.0563125
+0.0541362
+0.0519612
+0.0497875
+0.0476153
+0.045445
+0.0432766
+0.0411107
+0.0389475
+0.0367876
+0.0346315
+0.0324801
+0.0303343
+0.0281954
+0.0260651
+0.0239458
+0.0218404
+0.0197537
+0.0176921
+0.0156656
+0.0136898
+0.0117901
+0.0100101
+0.00835632
+0.00698383
+0.00610885
+0.00586014
+0.00606486
+0.00657726
+0.00639979
+0.00645776
+0.00677349
+0.00705894
+0.00756455
+0.00826404
+0.00904475
+0.0100722
+0.0110397
+0.0119708
+0.0128303
+0.013974
+0.0153386
+0.0167834
+0.0183115
+0.0199633
+0.0216664
+0.0232932
+0.0250063
+0.026789
+0.0286285
+0.0305143
+0.0324385
+0.0343946
+0.0363774
+0.0383412
+0.0402528
+0.0421915
+0.0441539
+0.04612
+0.0466109
+0.0462365
+0.0459535
+0.0457738
+0.0456944
+0.0457037
+0.045724
+0.0458213
+0.0460228
+0.0463272
+0.0466832
+0.0471282
+0.0476697
+0.0483047
+0.0490294
+0.0498399
+0.0506743
+0.051519
+0.0521978
+0.0528842
+0.0534431
+0.0540463
+0.0546849
+0.0554001
+0.0561729
+0.0570194
+0.0579275
+0.0589
+0.0599326
+0.0609951
+0.0621167
+0.0670545
+0.0660333
+0.0650304
+0.0640867
+0.0632049
+0.0623571
+0.0614178
+0.0601821
+0.058988
+0.0578516
+0.0564313
+0.0542598
+0.0520899
+0.0499218
+0.0477557
+0.0455921
+0.0434311
+0.0412732
+0.0391191
+0.0369692
+0.0348243
+0.0326856
+0.0305543
+0.0284319
+0.0263208
+0.0242238
+0.0221449
+0.0200898
+0.0180613
+0.0160684
+0.0141343
+0.0122865
+0.0105706
+0.00903857
+0.00778722
+0.00697267
+0.0067003
+0.00701118
+0.00769857
+0.00741985
+0.00722219
+0.00676311
+0.00659056
+0.00675531
+0.00730632
+0.00793847
+0.00868613
+0.00951314
+0.0101417
+0.0111385
+0.0124089
+0.0137361
+0.0152548
+0.0169204
+0.0185745
+0.0202128
+0.0219476
+0.0237579
+0.0256276
+0.0275447
+0.0294999
+0.0314862
+0.0334964
+0.0353985
+0.0373322
+0.039293
+0.0412768
+0.0432564
+0.0452376
+0.0452992
+0.0449856
+0.0446947
+0.0445099
+0.0444324
+0.0444573
+0.0445747
+0.0446977
+0.0449042
+0.0452056
+0.0455598
+0.0460156
+0.0465701
+0.0472199
+0.047947
+0.0487183
+0.0495481
+0.0504117
+0.0513163
+0.0517493
+0.0522671
+0.0528419
+0.0534723
+0.054184
+0.0549738
+0.0558325
+0.0567564
+0.0577487
+0.0588032
+0.0598755
+0.0610075
+0.0656346
+0.0646089
+0.0636219
+0.062657
+0.0617405
+0.0608839
+0.0600779
+0.0590948
+0.0578782
+0.0567182
+0.0556204
+0.0544712
+0.0523101
+0.0501515
+0.0479958
+0.0458435
+0.043695
+0.0415493
+0.039407
+0.0372704
+0.0351404
+0.0330184
+0.0309059
+0.0288052
+0.0267189
+0.0246507
+0.0226056
+0.0205904
+0.018615
+0.0166778
+0.014788
+0.012993
+0.011338
+0.00989348
+0.00872712
+0.00792995
+0.0076933
+0.00795847
+0.00877498
+0.00799469
+0.00712776
+0.00674434
+0.00626209
+0.00614016
+0.00639951
+0.00661703
+0.00740159
+0.00772339
+0.00843593
+0.00945413
+0.010716
+0.0122071
+0.0138784
+0.0154851
+0.0171387
+0.0189018
+0.0207465
+0.022653
+0.0246069
+0.0265976
+0.0286176
+0.0305539
+0.0324806
+0.0344389
+0.0364236
+0.0384307
+0.0404275
+0.0424277
+0.0443537
+0.0439883
+0.0437084
+0.0434941
+0.043313
+0.0432211
+0.043188
+0.0432575
+0.0434246
+0.0436799
+0.0440159
+0.0443794
+0.0448471
+0.0454158
+0.0460818
+0.0468381
+0.0476274
+0.0484948
+0.0493769
+0.0501591
+0.0506137
+0.0510996
+0.0516584
+0.0523031
+0.0530305
+0.0538344
+0.0547044
+0.055647
+0.0566582
+0.0577037
+0.0587959
+0.0599437
+0.0642561
+0.063208
+0.0622189
+0.0612321
+0.0603039
+0.0594265
+0.0586179
+0.0577574
+0.0566906
+0.0556368
+0.0545173
+0.053464
+0.0524812
+0.0504472
+0.0483021
+0.0461613
+0.0440255
+0.0418953
+0.0397717
+0.0376557
+0.0355488
+0.0334465
+0.0313561
+0.0292803
+0.0272226
+0.0251872
+0.0231802
+0.0212096
+0.0192865
+0.0174128
+0.0156123
+0.013924
+0.0123941
+0.0110593
+0.00993142
+0.00903302
+0.00861138
+0.00862328
+0.00907783
+0.00817297
+0.00709122
+0.00643021
+0.00589949
+0.00568074
+0.00536796
+0.00539276
+0.00564735
+0.00602751
+0.00661966
+0.00772414
+0.00918137
+0.0108029
+0.0124
+0.0140751
+0.0158762
+0.017765
+0.0197165
+0.0217136
+0.0237448
+0.0257236
+0.0276398
+0.029594
+0.0315793
+0.0335901
+0.0356222
+0.037641
+0.0396607
+0.0416976
+0.0430485
+0.0426936
+0.0424489
+0.0422503
+0.0420768
+0.0419636
+0.0419295
+0.0420068
+0.0421787
+0.0424632
+0.042778
+0.043152
+0.0436329
+0.0442172
+0.0449009
+0.0456796
+0.0465484
+0.0474631
+0.0483935
+0.0490621
+0.0494844
+0.0499699
+0.0505422
+0.051201
+0.0519364
+0.0527467
+0.0536338
+0.0545779
+0.0555923
+0.0566525
+0.0577566
+0.0588904
+0.0629237
+0.0618531
+0.0608425
+0.0598351
+0.0588898
+0.0580055
+0.0571818
+0.0564311
+0.0553706
+0.054349
+0.053394
+0.0524071
+0.051404
+0.0504761
+0.0486872
+0.0465595
+0.044438
+0.0423235
+0.0402172
+0.0381203
+0.0360346
+0.0339622
+0.0319056
+0.029868
+0.0278537
+0.0258681
+0.0239178
+0.0219977
+0.0201306
+0.0182979
+0.0164869
+0.0147614
+0.0131749
+0.0117739
+0.0106049
+0.00971632
+0.00922572
+0.009182
+0.00961015
+0.00843832
+0.00731183
+0.00657594
+0.00530235
+0.004419
+0.00393209
+0.0036992
+0.00381997
+0.00408813
+0.00484689
+0.00622304
+0.00774536
+0.00932359
+0.0110308
+0.0128851
+0.0148314
+0.0168379
+0.0188853
+0.0209251
+0.0228235
+0.0247703
+0.0267547
+0.0287692
+0.0308077
+0.0328327
+0.0348592
+0.0369045
+0.0389655
+0.0409958
+0.04178
+0.0414366
+0.0412
+0.0409915
+0.0408581
+0.0407681
+0.040733
+0.0408156
+0.0409616
+0.0412095
+0.0415714
+0.0419868
+0.0424808
+0.0430807
+0.043782
+0.0445801
+0.0454698
+0.0464459
+0.0474042
+0.0479774
+0.0483789
+0.0488754
+0.0494618
+0.050121
+0.0508659
+0.051693
+0.0525895
+0.0535422
+0.0545596
+0.0556304
+0.0566989
+0.0578159
+0.0616404
+0.0605471
+0.0595143
+0.0584868
+0.0575194
+0.0566203
+0.0557832
+0.0550134
+0.0540357
+0.053036
+0.0520746
+0.0511724
+0.0503479
+0.0494524
+0.048586
+0.0470335
+0.0449343
+0.0428443
+0.0407649
+0.0386978
+0.036645
+0.0346091
+0.0325933
+0.0306016
+0.0286192
+0.0266115
+0.024635
+0.0226959
+0.020794
+0.0189545
+0.0171976
+0.0155415
+0.0139895
+0.0126282
+0.0114799
+0.0106253
+0.0101786
+0.0101471
+0.0100755
+0.00876889
+0.00748624
+0.00594201
+0.00444321
+0.0032464
+0.00247035
+0.00201255
+0.002033
+0.00234633
+0.00325139
+0.00470389
+0.00626855
+0.00802778
+0.00995963
+0.0119809
+0.014053
+0.0160909
+0.0180174
+0.0199829
+0.021963
+0.0239797
+0.0259918
+0.0279993
+0.0300323
+0.0320861
+0.034157
+0.0362419
+0.038291
+0.0403495
+0.0405772
+0.0402235
+0.0399826
+0.0397636
+0.0396332
+0.0396074
+0.0395475
+0.0395856
+0.03974
+0.0399954
+0.0403683
+0.0408553
+0.0413944
+0.0420098
+0.0427287
+0.0435461
+0.0444565
+0.045425
+0.046134
+0.0468181
+0.0473489
+0.0478539
+0.0484359
+0.0491087
+0.0498573
+0.0506588
+0.051532
+0.0524805
+0.0535001
+0.0545658
+0.0556395
+0.0567774
+0.0604093
+0.0592933
+0.0582383
+0.0571907
+0.056201
+0.0552804
+0.0544325
+0.0536477
+0.0526799
+0.0516909
+0.0507773
+0.0498733
+0.0490432
+0.0482818
+0.0475979
+0.0468248
+0.0455308
+0.0434694
+0.0414214
+0.0393887
+0.037336
+0.0352803
+0.0332418
+0.0312239
+0.0292296
+0.0272553
+0.025305
+0.0233973
+0.0215436
+0.0197548
+0.0180344
+0.0164263
+0.0149667
+0.0137034
+0.0126394
+0.0118686
+0.0114704
+0.0114425
+0.0106398
+0.00888658
+0.00731742
+0.00559903
+0.00386694
+0.00225121
+0.00101429
+0.000355475
+0.000188045
+0.00039556
+0.00172217
+0.00326588
+0.00513895
+0.00718049
+0.00929016
+0.0112068
+0.013119
+0.015107
+0.0171444
+0.0191902
+0.02117
+0.0231877
+0.0252331
+0.0272964
+0.0293781
+0.0314746
+0.0335403
+0.0356038
+0.0376441
+0.0388399
+0.0394595
+0.0390928
+0.0387781
+0.0385853
+0.0384123
+0.0383225
+0.0383579
+0.0384057
+0.038568
+0.0388533
+0.0392457
+0.0397466
+0.0403603
+0.0410195
+0.0417556
+0.0425917
+0.043425
+0.0442885
+0.0449232
+0.0456143
+0.0462719
+0.04681
+0.0474395
+0.0480723
+0.0487953
+0.0496012
+0.0504889
+0.051452
+0.0524881
+0.0535539
+0.0546474
+0.0556256
+0.0592337
+0.0580951
+0.0570179
+0.0559504
+0.0549383
+0.0539962
+0.0531278
+0.0522315
+0.0512826
+0.0503673
+0.0494292
+0.0485718
+0.0477655
+0.0470005
+0.0463092
+0.0457126
+0.0450921
+0.0440953
+0.0420276
+0.0399731
+0.0379312
+0.0358926
+0.033873
+0.031876
+0.0299061
+0.0279691
+0.0260723
+0.0242202
+0.0224144
+0.0206831
+0.0190466
+0.0175316
+0.0161721
+0.0150092
+0.0140323
+0.0133422
+0.0129892
+0.0128004
+0.0109517
+0.00920832
+0.00733891
+0.00535362
+0.00342362
+0.00169591
+-9.08046e-05
+-0.00142721
+-0.00173276
+-0.00115104
+0.000583178
+0.00237089
+0.00446594
+0.00634514
+0.00822064
+0.0102223
+0.0122886
+0.0143917
+0.0163899
+0.0184118
+0.020467
+0.0225477
+0.0246463
+0.0267548
+0.0288391
+0.0309059
+0.0329887
+0.0346777
+0.0358386
+0.0370927
+0.0382165
+0.0379126
+0.0375887
+0.037389
+0.0372152
+0.0371225
+0.0371519
+0.0371926
+0.037362
+0.0376529
+0.0380487
+0.0385651
+0.0391972
+0.0399191
+0.0406979
+0.0414772
+0.042304
+0.0431372
+0.0437777
+0.0444859
+0.045244
+0.0457843
+0.0463522
+0.0469979
+0.0477332
+0.0485563
+0.0494628
+0.0504482
+0.051508
+0.0523552
+0.0532629
+0.054244
+0.0581169
+0.0569559
+0.0558568
+0.0547686
+0.0537353
+0.0527718
+0.0518472
+0.0507968
+0.0498205
+0.048923
+0.0480969
+0.0472623
+0.0464571
+0.0457338
+0.0450783
+0.0444651
+0.0438196
+0.0431275
+0.0424754
+0.0405942
+0.0385719
+0.0365691
+0.034589
+0.0326358
+0.0307147
+0.0288265
+0.0269733
+0.0251744
+0.0234422
+0.0217927
+0.0202461
+0.0188279
+0.017569
+0.0164645
+0.0155753
+0.0149566
+0.0145953
+0.0131882
+0.0112277
+0.00913838
+0.00711032
+0.00516861
+0.00343362
+0.00143424
+-0.000665553
+-0.00261901
+-0.00361819
+-0.00224238
+-8.54815e-05
+0.0015971
+0.00332285
+0.00536294
+0.00748861
+0.00964227
+0.0116751
+0.0137059
+0.0157783
+0.0178696
+0.0199807
+0.0221072
+0.0242162
+0.0262814
+0.0283646
+0.0304585
+0.0317365
+0.0328553
+0.0340784
+0.0353949
+0.0362061
+0.0367791
+0.0364186
+0.036187
+0.0359752
+0.0358793
+0.0359171
+0.0359652
+0.0361403
+0.0364464
+0.0368667
+0.0373991
+0.0380503
+0.0387962
+0.03955
+0.0404086
+0.0412689
+0.0420665
+0.0427131
+0.0434387
+0.0441414
+0.0446642
+0.0452825
+0.0459474
+0.0466992
+0.0475403
+0.0484658
+0.0493549
+0.0501257
+0.0509791
+0.0519109
+0.0529171
+0.0570623
+0.0558795
+0.0547588
+0.0536483
+0.0525953
+0.0515922
+0.0504628
+0.0494027
+0.0483991
+0.0474754
+0.0466364
+0.0458707
+0.0451859
+0.0444419
+0.0437949
+0.0432494
+0.0425195
+0.041797
+0.0411605
+0.0405951
+0.0393245
+0.037362
+0.0354262
+0.0335158
+0.0316339
+0.0297943
+0.0280052
+0.0262769
+0.0246225
+0.0230576
+0.0216018
+0.0202785
+0.0190906
+0.0180655
+0.017259
+0.0167028
+0.0156442
+0.0135274
+0.0114386
+0.00937242
+0.00734695
+0.00545079
+0.00337767
+0.00146596
+-0.000472007
+-0.00232649
+-0.00336589
+-0.00248245
+-0.000976412
+0.000802674
+0.00295846
+0.00513383
+0.00715954
+0.00918099
+0.0112354
+0.0133333
+0.0154559
+0.0175855
+0.019704
+0.0217595
+0.0238285
+0.0259176
+0.0278041
+0.0288282
+0.0298954
+0.0310805
+0.0323707
+0.0335206
+0.0342178
+0.0350317
+0.0352458
+0.0350067
+0.0347834
+0.0346842
+0.0346903
+0.0347338
+0.034915
+0.0352318
+0.0356805
+0.0362423
+0.0369143
+0.0376196
+0.0383965
+0.0392804
+0.0402062
+0.0410745
+0.0417365
+0.0424788
+0.0430805
+0.0436161
+0.0442538
+0.0449655
+0.0457335
+0.0465919
+0.0472853
+0.0479928
+0.0487852
+0.0496616
+0.0506176
+0.051649
+0.0560616
+0.0548569
+0.0537146
+0.0525954
+0.0515209
+0.050295
+0.0491358
+0.0480486
+0.0470315
+0.0460812
+0.0452164
+0.0444413
+0.0437447
+0.0431482
+0.042557
+0.0419954
+0.0412847
+0.0405311
+0.0398837
+0.0393349
+0.0388535
+0.0382576
+0.0363571
+0.0344911
+0.0326655
+0.0308873
+0.0291653
+0.0275101
+0.0259344
+0.0244536
+0.023086
+0.0218408
+0.0207204
+0.0197799
+0.0190462
+0.0181639
+0.0160688
+0.0140029
+0.0119814
+0.0100181
+0.00804037
+0.00606353
+0.00393113
+0.00191041
+0.000687723
+-0.000686542
+-0.00168801
+-0.00118725
+0.000522309
+0.00180098
+0.00326405
+0.00509282
+0.00707847
+0.00915511
+0.0112143
+0.0133155
+0.0153431
+0.0173825
+0.0194548
+0.0215341
+0.0236229
+0.0248486
+0.02589
+0.0269664
+0.0281044
+0.029362
+0.0307244
+0.0315152
+0.0322557
+0.0331179
+0.0340846
+0.033887
+0.0336579
+0.0335553
+0.0335406
+0.0335856
+0.033773
+0.0341003
+0.0345637
+0.0351386
+0.0358328
+0.036522
+0.037322
+0.0382068
+0.039177
+0.0401552
+0.0408541
+0.0416105
+0.0420508
+0.0425993
+0.0432519
+0.044004
+0.0447778
+0.0453277
+0.0459699
+0.0466938
+0.0475078
+0.0484073
+0.0493877
+0.0504396
+0.0551243
+0.0538987
+0.0527356
+0.0516032
+0.0503178
+0.0490614
+0.0478723
+0.0467557
+0.0457086
+0.0447315
+0.0438422
+0.0430462
+0.0423486
+0.0417348
+0.0412257
+0.0408066
+0.040114
+0.0393464
+0.0386792
+0.0381263
+0.037638
+0.0372523
+0.0369096
+0.0355748
+0.0338077
+0.0320929
+0.0304392
+0.0288571
+0.0273591
+0.0259597
+0.024673
+0.023484
+0.0224458
+0.0215807
+0.0207436
+0.0187629
+0.0167429
+0.0147716
+0.0128714
+0.0108434
+0.00877386
+0.00678085
+0.00495758
+0.00352033
+0.0020964
+0.00105332
+-0.000213687
+0.00050019
+0.00028187
+0.00179292
+0.00377713
+0.00565525
+0.00757435
+0.00953838
+0.0113858
+0.013309
+0.0153044
+0.0173469
+0.0194217
+0.0211097
+0.0219325
+0.0229313
+0.0240155
+0.0251577
+0.0263739
+0.0277101
+0.0288921
+0.029536
+0.0303249
+0.0312366
+0.0322536
+0.0327717
+0.0325909
+0.0325105
+0.0324379
+0.0325087
+0.0327023
+0.0330402
+0.0334929
+0.0340738
+0.0347552
+0.0354625
+0.0362601
+0.03717
+0.0381839
+0.0392177
+0.0400332
+0.0406561
+0.0411066
+0.0416676
+0.0422358
+0.0428977
+0.0435028
+0.0440687
+0.0447194
+0.0454633
+0.0462989
+0.047216
+0.0481994
+0.0492493
+0.0542594
+0.0530138
+0.0518308
+0.0505308
+0.0491824
+0.0478961
+0.0466771
+0.0455307
+0.0444544
+0.0434491
+0.042533
+0.0417119
+0.0409916
+0.0403775
+0.0398645
+0.0394469
+0.0390268
+0.0382505
+0.0375639
+0.0369944
+0.0364952
+0.0360966
+0.0358198
+0.0354054
+0.0349025
+0.0333988
+0.031813
+0.0303028
+0.0288798
+0.0275578
+0.0263223
+0.0252107
+0.0242465
+0.0233423
+0.0215659
+0.0195899
+0.0176647
+0.0156938
+0.0136564
+0.0116748
+0.00978277
+0.00804375
+0.00655004
+0.00500589
+0.00376643
+0.00237055
+0.00192422
+0.00139049
+0.00139403
+0.00262544
+0.00452123
+0.0060661
+0.00786695
+0.00977114
+0.0116619
+0.013591
+0.0155502
+0.0175641
+0.0183846
+0.0190739
+0.0199807
+0.0210213
+0.0221989
+0.0234144
+0.0247164
+0.0261375
+0.0268984
+0.0275889
+0.0284319
+0.0293914
+0.03047
+0.0316636
+0.0314919
+0.0314216
+0.0313473
+0.031426
+0.0316386
+0.0319586
+0.0324239
+0.0330248
+0.0337333
+0.0344569
+0.0352773
+0.0362119
+0.0371809
+0.0382222
+0.0392847
+0.0395829
+0.0399752
+0.0404372
+0.0410112
+0.0416925
+0.042303
+0.0428782
+0.0435434
+0.0443006
+0.0451351
+0.0460588
+0.0470565
+0.0481237
+0.0534703
+0.0522058
+0.0509069
+0.0494821
+0.0481031
+0.0467861
+0.0455365
+0.0443599
+0.0432623
+0.0422403
+0.0412974
+0.0404513
+0.0397082
+0.0390738
+0.0385537
+0.0381525
+0.0378277
+0.0372176
+0.0365199
+0.0359331
+0.0354264
+0.0350135
+0.0347103
+0.0345436
+0.0341022
+0.0337224
+0.0332745
+0.0318336
+0.0304823
+0.0292134
+0.0280453
+0.0270048
+0.0260457
+0.0244402
+0.0225034
+0.0205669
+0.0185474
+0.0165715
+0.0146567
+0.0128305
+0.0111366
+0.00961709
+0.008041
+0.00667475
+0.00541247
+0.00436441
+0.00399304
+0.00332942
+0.00341472
+0.00421604
+0.00519677
+0.00664206
+0.00837726
+0.0102598
+0.0121862
+0.0141277
+0.0155849
+0.0157977
+0.016303
+0.0170765
+0.0180622
+0.0191714
+0.0204558
+0.0217521
+0.0231478
+0.0243694
+0.0249378
+0.0256811
+0.026582
+0.0275968
+0.0287429
+0.0300053
+0.0305094
+0.0304393
+0.0303617
+0.0304366
+0.0306433
+0.0309918
+0.0314714
+0.0320912
+0.0327925
+0.0335351
+0.0343819
+0.035235
+0.0362007
+0.0372703
+0.0380911
+0.0383987
+0.0387963
+0.0392722
+0.0398629
+0.0405636
+0.0411848
+0.0417579
+0.0424165
+0.0431764
+0.0440306
+0.0449563
+0.0459678
+0.0470508
+0.0527603
+0.0513277
+0.0499193
+0.0484969
+0.0470974
+0.0457515
+0.0444728
+0.0432673
+0.0421412
+0.0411012
+0.0401406
+0.0392696
+0.0385036
+0.0378491
+0.0373119
+0.0368972
+0.0366091
+0.0362676
+0.0355649
+0.0349682
+0.0344278
+0.0340057
+0.0337067
+0.0335351
+0.0334267
+0.033039
+0.0327934
+0.0326931
+0.0321431
+0.0309305
+0.0298298
+0.0288236
+0.0273633
+0.0254499
+0.0234416
+0.021469
+0.0195429
+0.0176786
+0.0158977
+0.0142317
+0.0126991
+0.0110932
+0.00966181
+0.0084925
+0.00723605
+0.00638512
+0.00588478
+0.00544372
+0.00554368
+0.00569869
+0.00648862
+0.0077302
+0.00927555
+0.0110415
+0.0129379
+0.0134728
+0.0134282
+0.0136733
+0.0142541
+0.0151327
+0.0161706
+0.0174008
+0.0187842
+0.0201909
+0.0215304
+0.0224016
+0.0230187
+0.0238219
+0.0247779
+0.0258633
+0.0270828
+0.0284191
+0.0296112
+0.0294946
+0.0294752
+0.0295523
+0.0297651
+0.030136
+0.0306461
+0.0312504
+0.0318821
+0.0326484
+0.033461
+0.034337
+0.0353272
+0.0364224
+0.0369889
+0.0373055
+0.0377012
+0.0381908
+0.038798
+0.0395072
+0.0401141
+0.0406814
+0.0413572
+0.0421175
+0.0429728
+0.0439208
+0.0449463
+0.0460423
+0.0517522
+0.0502603
+0.0488212
+0.0474396
+0.0461193
+0.0447901
+0.043484
+0.0422511
+0.0410979
+0.0400316
+0.039054
+0.0381664
+0.03738
+0.0367054
+0.0361513
+0.035723
+0.035421
+0.0352308
+0.034708
+0.0340769
+0.0335352
+0.0331094
+0.0328168
+0.0326424
+0.0326126
+0.0324849
+0.0322351
+0.0321331
+0.0321802
+0.032362
+0.0316494
+0.0303213
+0.0283372
+0.0263669
+0.0244341
+0.0225485
+0.020723
+0.018975
+0.0173278
+0.0157182
+0.0140622
+0.0125708
+0.0113094
+0.0100885
+0.00895306
+0.0082279
+0.00791172
+0.00758497
+0.00736678
+0.00745209
+0.00809259
+0.0091656
+0.0105482
+0.0121306
+0.0118028
+0.0113396
+0.0112838
+0.0115737
+0.0122544
+0.0132147
+0.0143642
+0.0157185
+0.0172164
+0.018756
+0.0196185
+0.0204792
+0.0211524
+0.0220238
+0.0230406
+0.0242041
+0.025503
+0.0269178
+0.0283838
+0.0286701
+0.0287082
+0.0287665
+0.028985
+0.0293658
+0.029867
+0.0304013
+0.0310502
+0.0318366
+0.0326494
+0.0335465
+0.0345594
+0.0356782
+0.0359864
+0.0363118
+0.0366994
+0.0372022
+0.0378244
+0.0385462
+0.0391041
+0.0396824
+0.0403519
+0.0411272
+0.0420027
+0.0429623
+0.0439986
+0.0451176
+0.0507868
+0.0492673
+0.0477983
+0.0463863
+0.0450366
+0.043755
+0.0425274
+0.0413128
+0.0401327
+0.03904
+0.0380369
+0.0371251
+0.036317
+0.0356224
+0.0350511
+0.0346093
+0.0342963
+0.0340999
+0.0339487
+0.033299
+0.0327443
+0.032329
+0.0320372
+0.031859
+0.0318284
+0.0319484
+0.0317934
+0.0316899
+0.0317377
+0.0319301
+0.0320185
+0.031265
+0.0293277
+0.0274286
+0.0255761
+0.0237813
+0.0220581
+0.0204246
+0.0187109
+0.0170641
+0.015552
+0.0142178
+0.0129985
+0.0117476
+0.0107882
+0.0102091
+0.00977255
+0.00954243
+0.00925108
+0.00937129
+0.0099037
+0.0108277
+0.0120444
+0.0107839
+0.00979662
+0.00923325
+0.00916058
+0.00951518
+0.0103324
+0.0113609
+0.0126686
+0.0141502
+0.0157976
+0.0168177
+0.0177708
+0.0186162
+0.0193543
+0.0202983
+0.0213868
+0.0226354
+0.0240193
+0.0255165
+0.0270276
+0.0279742
+0.0280226
+0.028106
+0.0283247
+0.0286171
+0.0290551
+0.0295715
+0.0302382
+0.0310232
+0.0318197
+0.0327396
+0.0337767
+0.0348933
+0.0350923
+0.0354102
+0.0357972
+0.0363124
+0.0369497
+0.0376882
+0.0381821
+0.0387538
+0.039439
+0.040232
+0.0411162
+0.042084
+0.0431415
+0.0442821
+0.0498821
+0.048344
+0.0468556
+0.0454142
+0.0440348
+0.0427231
+0.0414858
+0.0403112
+0.0392195
+0.0381477
+0.0371214
+0.0361865
+0.035357
+0.0346431
+0.0340554
+0.0336005
+0.0332781
+0.0330756
+0.0330175
+0.0326377
+0.0320839
+0.0316598
+0.0313706
+0.0312095
+0.0311783
+0.0313007
+0.0314982
+0.0313938
+0.031442
+0.0316361
+0.0316375
+0.031583
+0.0304438
+0.0286189
+0.0268487
+0.0251448
+0.0234399
+0.0217332
+0.0200952
+0.0185715
+0.0171925
+0.0158968
+0.014608
+0.0135528
+0.0127363
+0.0120512
+0.011552
+0.0113792
+0.0112469
+0.011346
+0.0118428
+0.0122336
+0.0106011
+0.00908617
+0.0078892
+0.00717765
+0.00707836
+0.00753163
+0.00841882
+0.00964262
+0.0111018
+0.0127666
+0.0140503
+0.0149434
+0.0159468
+0.0168322
+0.0176451
+0.0186587
+0.0198372
+0.0211774
+0.0226506
+0.0242229
+0.0257864
+0.027436
+0.0274836
+0.0275316
+0.0276594
+0.0279588
+0.0283414
+0.0288706
+0.0295296
+0.030257
+0.0310689
+0.0320104
+0.0330704
+0.0340808
+0.0342845
+0.0346132
+0.035009
+0.0355356
+0.0361865
+0.0368816
+0.0373448
+0.0379291
+0.038629
+0.0394275
+0.0403169
+0.0413034
+0.0423803
+0.0435409
+0.0490466
+0.0474897
+0.0459802
+0.0445122
+0.0431042
+0.0417637
+0.0404974
+0.0393125
+0.0382166
+0.0371937
+0.0362669
+0.0353589
+0.0345096
+0.0337778
+0.0331747
+0.0327076
+0.0323763
+0.0321681
+0.0320993
+0.0320313
+0.0315495
+0.0311308
+0.0308366
+0.0306791
+0.0306711
+0.0307956
+0.0310744
+0.0312487
+0.0312972
+0.0314922
+0.0313945
+0.0313395
+0.0314097
+0.0299224
+0.028173
+0.0264682
+0.0247742
+0.023144
+0.0216132
+0.0202044
+0.0188584
+0.017514
+0.0163532
+0.0153892
+0.0144789
+0.0138506
+0.0134533
+0.0133052
+0.0133043
+0.0132945
+0.0120898
+0.0109238
+0.00930548
+0.0076257
+0.00617259
+0.0052326
+0.00508804
+0.00561587
+0.0066365
+0.00809111
+0.0097777
+0.011354
+0.0120993
+0.0131312
+0.014131
+0.0151374
+0.0160364
+0.0171425
+0.0184184
+0.0198546
+0.0214189
+0.0230389
+0.0246777
+0.026368
+0.0270103
+0.0270101
+0.0271403
+0.0274078
+0.0277825
+0.0282976
+0.0288975
+0.0296091
+0.0304382
+0.0313986
+0.0324786
+0.0333634
+0.0335761
+0.0339246
+0.0343426
+0.0348793
+0.0355422
+0.0361471
+0.0366196
+0.0372153
+0.0379171
+0.0387173
+0.0396226
+0.040626
+0.0417204
+0.0428988
+0.0482697
+0.0466868
+0.0451548
+0.0436789
+0.0422621
+0.040894
+0.0395999
+0.0383873
+0.0372641
+0.0362365
+0.0352884
+0.0344294
+0.0336912
+0.0330352
+0.0324184
+0.0319402
+0.0315916
+0.0313486
+0.0312576
+0.0313199
+0.0310766
+0.0307267
+0.0304444
+0.0302917
+0.0302902
+0.0304402
+0.0307222
+0.0311427
+0.0313053
+0.0314921
+0.0312842
+0.031229
+0.031238
+0.0310736
+0.0294891
+0.0278278
+0.0262045
+0.024669
+0.0232389
+0.0218573
+0.0204764
+0.019245
+0.0181304
+0.0171183
+0.0163048
+0.0157496
+0.0154315
+0.0153026
+0.0140157
+0.0122803
+0.0106942
+0.0093554
+0.00823336
+0.00647732
+0.00472856
+0.00346627
+0.0032388
+0.00378112
+0.00514026
+0.00688613
+0.0083741
+0.00934531
+0.0102292
+0.0113238
+0.0124102
+0.013579
+0.0145745
+0.0157856
+0.0171626
+0.0186955
+0.0203354
+0.0220089
+0.0236545
+0.0253367
+0.0266867
+0.026639
+0.0267648
+0.0270054
+0.0273368
+0.0278104
+0.0284132
+0.0291119
+0.0299548
+0.0309302
+0.0317395
+0.0324491
+0.0329982
+0.0333527
+0.0338053
+0.0343504
+0.0350153
+0.0355327
+0.0360132
+0.0366071
+0.0373069
+0.0381199
+0.0390391
+0.0400571
+0.0411666
+0.0423605
+0.0475562
+0.0459689
+0.0444179
+0.0429167
+0.0414769
+0.0401051
+0.0388054
+0.0375672
+0.0364187
+0.0353663
+0.0344036
+0.0335219
+0.0327631
+0.0321361
+0.0316239
+0.0312525
+0.0308896
+0.0306432
+0.0305501
+0.0306139
+0.0307065
+0.0304056
+0.0301798
+0.0300524
+0.0300579
+0.0302156
+0.0305084
+0.0309453
+0.0314664
+0.0315347
+0.0313271
+0.0309115
+0.0306192
+0.030459
+0.0304484
+0.0292728
+0.0277342
+0.0262883
+0.0248806
+0.0234738
+0.0221926
+0.0209638
+0.0198625
+0.0189303
+0.0181981
+0.0177082
+0.0169543
+0.0150974
+0.0131581
+0.0112912
+0.00954199
+0.00801289
+0.00656076
+0.00531568
+0.0038355
+0.00229105
+0.00169166
+0.00250072
+0.00413241
+0.00538738
+0.0066999
+0.00741166
+0.00848794
+0.00964871
+0.0108495
+0.0120928
+0.0132941
+0.0146209
+0.0160978
+0.017699
+0.0193418
+0.0210474
+0.0227114
+0.0244585
+0.0262721
+0.0264033
+0.0264665
+0.0266914
+0.0270068
+0.0274606
+0.0280663
+0.0287734
+0.0296259
+0.0303429
+0.0309378
+0.0316594
+0.0325096
+0.032917
+0.0334033
+0.0339549
+0.0346156
+0.0350446
+0.0355197
+0.0361078
+0.0368171
+0.0376408
+0.0385714
+0.0396014
+0.0407233
+0.0419298
+0.0469198
+0.0453103
+0.0437513
+0.0422484
+0.0407912
+0.0393956
+0.0380749
+0.0368373
+0.0356826
+0.0346103
+0.033629
+0.0327265
+0.0319488
+0.0313055
+0.0308048
+0.0304283
+0.0302014
+0.0300573
+0.0299624
+0.0300274
+0.0302513
+0.0302064
+0.0300132
+0.029945
+0.0299771
+0.0301423
+0.0304358
+0.0308737
+0.0314585
+0.0314025
+0.0308054
+0.0303544
+0.0300567
+0.0298935
+0.0298827
+0.0300321
+0.0293479
+0.0279203
+0.0264944
+0.0251717
+0.0238632
+0.0226911
+0.0216751
+0.0208092
+0.0200477
+0.0180817
+0.01609
+0.0141571
+0.012311
+0.0105965
+0.00879365
+0.00710529
+0.00524184
+0.0036072
+0.00262542
+0.00159809
+0.000867295
+0.00166659
+0.00255269
+0.00368771
+0.0048301
+0.00566822
+0.00688071
+0.00814827
+0.00946345
+0.010762
+0.0120914
+0.0136266
+0.0151568
+0.0167625
+0.0184887
+0.0202204
+0.0219472
+0.0237506
+0.0256143
+0.0262841
+0.0263289
+0.0265028
+0.0267865
+0.027244
+0.0278251
+0.028444
+0.0291776
+0.0296507
+0.0302675
+0.0310048
+0.031864
+0.0326229
+0.0331266
+0.0336915
+0.0343246
+0.0346758
+0.0351418
+0.0357361
+0.0364527
+0.0372844
+0.0382236
+0.0392628
+0.0403941
+0.0416101
+0.0463783
+0.0447493
+0.04317
+0.0416462
+0.040184
+0.0387905
+0.0374539
+0.036195
+0.0350279
+0.0339538
+0.0329675
+0.0320613
+0.0312671
+0.0306095
+0.0300973
+0.0297244
+0.0294921
+0.0294215
+0.0295088
+0.0295847
+0.029812
+0.0300358
+0.0299758
+0.0299379
+0.0300297
+0.030221
+0.0305207
+0.0309574
+0.0315406
+0.0309821
+0.03039
+0.0299327
+0.0296308
+0.0294803
+0.0294694
+0.0296209
+0.0299324
+0.0295311
+0.0281492
+0.026807
+0.0255823
+0.0244927
+0.0235154
+0.0214348
+0.0193784
+0.0173549
+0.0153773
+0.0134462
+0.0114617
+0.0095676
+0.0076951
+0.00596881
+0.00447064
+0.0024806
+0.000970882
+0.000116886
+-0.000611153
+-0.000114938
+0.000810836
+0.00214087
+0.00288944
+0.00419471
+0.00546184
+0.00702063
+0.00835565
+0.00972821
+0.0111589
+0.0127943
+0.0143894
+0.0160719
+0.017865
+0.0196044
+0.021381
+0.0232284
+0.0251309
+0.0263284
+0.0263437
+0.0264603
+0.0267444
+0.0270917
+0.0275535
+0.0281747
+0.0286033
+0.0290727
+0.0296782
+0.0304297
+0.0313167
+0.0322956
+0.0329802
+0.0335632
+0.0340745
+0.0344215
+0.0348908
+0.0354894
+0.0362108
+0.0370479
+0.037993
+0.0390383
+0.040176
+0.0413984
+0.045935
+0.0442897
+0.0426934
+0.0411519
+0.0396715
+0.0382593
+0.0369232
+0.0356612
+0.0344761
+0.0333929
+0.0323982
+0.0314898
+0.0307112
+0.0300573
+0.0295355
+0.0291555
+0.0289186
+0.0288466
+0.0289408
+0.0291932
+0.029529
+0.0299176
+0.0300223
+0.0300605
+0.0301821
+0.0304313
+0.0307579
+0.0311951
+0.0314323
+0.03071
+0.0301125
+0.0296509
+0.0293461
+0.0292029
+0.0291998
+0.0293527
+0.029667
+0.0301377
+0.0297363
+0.0284309
+0.0272393
+0.0252846
+0.0231557
+0.0210395
+0.0189402
+0.0168642
+0.0147741
+0.0127167
+0.0107122
+0.00879694
+0.00679257
+0.00474881
+0.00292602
+0.00146493
+0.000326235
+-0.00154606
+-0.00234505
+-0.00165282
+-0.000550732
+9.86475e-05
+0.00159114
+0.00286394
+0.00449567
+0.00605961
+0.007655
+0.00906487
+0.0105639
+0.0122727
+0.0139228
+0.0156521
+0.0173376
+0.0191173
+0.020975
+0.0228435
+0.0247236
+0.0265248
+0.0264828
+0.0265397
+0.0266837
+0.0269712
+0.0274311
+0.0277565
+0.0280644
+0.0285234
+0.0291403
+0.0299053
+0.0308074
+0.0318279
+0.0329412
+0.0335633
+0.0339491
+0.0342852
+0.0347563
+0.0353572
+0.0360813
+0.0369213
+0.0378696
+0.0389182
+0.0400593
+0.0412851
+0.0455383
+0.0438993
+0.0423103
+0.0407695
+0.0392747
+0.0378477
+0.0364965
+0.0352278
+0.0340417
+0.0329587
+0.0319692
+0.0310483
+0.0302582
+0.0296052
+0.0290948
+0.0287426
+0.0285024
+0.0284294
+0.0285249
+0.0287815
+0.0291746
+0.0296984
+0.0301017
+0.0303094
+0.0304617
+0.0307382
+0.0311217
+0.0315795
+0.0312583
+0.0305617
+0.0299928
+0.0295294
+0.0292233
+0.0290794
+0.0290764
+0.0292299
+0.0295455
+0.0300181
+0.0306391
+0.0294476
+0.0272917
+0.0251419
+0.0229726
+0.0208035
+0.0186395
+0.0164825
+0.0143357
+0.0122046
+0.010099
+0.00803895
+0.00604403
+0.00399643
+0.00206732
+0.000129632
+-0.00122671
+-0.00262965
+-0.0042227
+-0.00339962
+-0.00239227
+-0.00139239
+0.00052761
+0.00243287
+0.00408415
+0.0057522
+0.00751999
+0.008871
+0.0103374
+0.0119373
+0.0136044
+0.015238
+0.0169613
+0.0187767
+0.020665
+0.0225624
+0.0244641
+0.0264002
+0.0266495
+0.0265786
+0.026688
+0.0269755
+0.0272324
+0.0273713
+0.0276689
+0.0281343
+0.0287596
+0.0295345
+0.0304476
+0.0314643
+0.0325901
+0.0336919
+0.0339525
+0.0342886
+0.0347597
+0.0353605
+0.0360845
+0.0369245
+0.0378727
+0.0389212
+0.0400622
+0.041288
+0.0452376
+0.0435873
+0.0419865
+0.040441
+0.0389574
+0.0375431
+0.0361971
+0.0349137
+0.0337209
+0.0326274
+0.0316478
+0.0307393
+0.0299411
+0.0292854
+0.0287819
+0.0284275
+0.0282375
+0.0281767
+0.0282731
+0.028532
+0.0289285
+0.0294566
+0.0301193
+0.0305612
+0.0308933
+0.0311672
+0.0315898
+0.0317154
+0.030964
+0.0303525
+0.029883
+0.0295438
+0.0292644
+0.0291208
+0.0291177
+0.029271
+0.0295862
+0.0300582
+0.0306783
+0.0293132
+0.0271773
+0.0250155
+0.0228435
+0.0206755
+0.0185129
+0.0163577
+0.0142134
+0.0120743
+0.00994113
+0.00783974
+0.00570749
+0.00351872
+0.00133037
+-0.000754896
+-0.00255885
+-0.00416933
+-0.00569692
+-0.00539955
+-0.00392161
+-0.00203045
+-0.000167818
+0.00173915
+0.00338578
+0.0053456
+0.00743543
+0.00890973
+0.0102741
+0.0118487
+0.013479
+0.0150795
+0.0168129
+0.0186428
+0.0205434
+0.0224922
+0.0243994
+0.0262131
+0.0268333
+0.026763
+0.0268716
+0.0269698
+0.0270028
+0.027128
+0.0274282
+0.0278977
+0.0285281
+0.0293091
+0.0302191
+0.0312363
+0.0323699
+0.0336083
+0.034097
+0.0344316
+0.0349008
+0.0354992
+0.0362205
+0.0370574
+0.0380022
+0.0390473
+0.0401847
+0.0414021
+0.0450416
+0.0433838
+0.0417752
+0.0402215
+0.0387296
+0.0373066
+0.0359609
+0.0347007
+0.0335122
+0.0324205
+0.031441
+0.0305387
+0.0297654
+0.029116
+0.0286136
+0.0282684
+0.028088
+0.0280672
+0.0281678
+0.0284335
+0.0288471
+0.0293767
+0.0300518
+0.0307891
+0.0312941
+0.0317417
+0.0321569
+0.0314808
+0.0307237
+0.0301073
+0.0296404
+0.0293301
+0.0291224
+0.029074
+0.0291834
+0.0294311
+0.0297651
+0.0302036
+0.0307921
+0.0289409
+0.0267792
+0.0246226
+0.0224726
+0.0203314
+0.0182019
+0.0160888
+0.0139133
+0.0117313
+0.00955329
+0.00738278
+0.00522913
+0.00312677
+0.00106433
+-0.00102294
+-0.0030871
+-0.0052099
+-0.00723738
+-0.0068757
+-0.0050086
+-0.00310681
+-0.00116896
+0.000779633
+0.00293489
+0.00478235
+0.00676022
+0.0088335
+0.0105932
+0.0121172
+0.0136488
+0.0152306
+0.0169486
+0.0187652
+0.0206546
+0.0225141
+0.0237556
+0.0251178
+0.0265829
+0.0271235
+0.0269619
+0.0268346
+0.0268837
+0.0270412
+0.0273423
+0.0278133
+0.0284456
+0.0292288
+0.0301412
+0.0311609
+0.0322972
+0.0335383
+0.0343808
+0.0347127
+0.0351781
+0.0357719
+0.0364877
+0.0373186
+0.038257
+0.0392953
+0.0404183
+0.0416139
+0.0449314
+0.0432776
+0.0416733
+0.0401207
+0.0386249
+0.0371979
+0.0358481
+0.0345845
+0.0334162
+0.032329
+0.0313545
+0.0304668
+0.0296926
+0.0290632
+0.0285742
+0.0282355
+0.0280571
+0.0280492
+0.0281975
+0.0284868
+0.0289044
+0.0294593
+0.0301328
+0.0309468
+0.0316979
+0.0323087
+0.0322463
+0.0313815
+0.030622
+0.0300035
+0.0295349
+0.0292235
+0.029047
+0.0289985
+0.0291151
+0.0293881
+0.0297956
+0.0303562
+0.0308861
+0.0287038
+0.0265227
+0.0243435
+0.0221665
+0.0199924
+0.0178225
+0.0156583
+0.0134999
+0.0113491
+0.00921041
+0.00706731
+0.00496594
+0.00297874
+0.000823667
+-0.00134691
+-0.00344812
+-0.00546706
+-0.00751696
+-0.00800404
+-0.00589636
+-0.00387553
+-0.00190886
+8.92635e-07
+0.00204528
+0.00407994
+0.00619805
+0.00833955
+0.0103739
+0.0123359
+0.0139676
+0.0156892
+0.0173619
+0.0189234
+0.0202775
+0.0214429
+0.022743
+0.0241624
+0.025682
+0.0272454
+0.0269838
+0.0268566
+0.0269057
+0.0271
+0.0274317
+0.0279011
+0.0285315
+0.0293124
+0.0302223
+0.0312393
+0.0323729
+0.0336112
+0.0348004
+0.0351283
+0.0355883
+0.0361753
+0.0368833
+0.0377055
+0.0386346
+0.0396425
+0.0407022
+0.0418205
+0.0444499
+0.0432671
+0.0416623
+0.040113
+0.0386259
+0.0372083
+0.0358627
+0.0345996
+0.0334325
+0.0323637
+0.0313902
+0.0305431
+0.0297802
+0.0291527
+0.0286793
+0.0283563
+0.0281787
+0.0281709
+0.0283225
+0.0286302
+0.0291
+0.029673
+0.030343
+0.0311516
+0.0320787
+0.0328658
+0.0322463
+0.0313845
+0.0306553
+0.0300594
+0.0295917
+0.0292809
+0.0291319
+0.0290882
+0.0292045
+0.0294836
+0.029914
+0.0304724
+0.0308202
+0.0286328
+0.0264459
+0.0242597
+0.0220745
+0.0198904
+0.0177079
+0.0155278
+0.0133483
+0.0111683
+0.00899357
+0.00682898
+0.00468869
+0.00259366
+0.000602169
+-0.00137883
+-0.00331929
+-0.00535943
+-0.00747472
+-0.00828645
+-0.00639869
+-0.00442284
+-0.00234669
+-0.000299017
+0.00178726
+0.00392371
+0.00607611
+0.00820244
+0.0100505
+0.0117822
+0.0134811
+0.0150989
+0.0165194
+0.0179872
+0.0193056
+0.0205302
+0.0219034
+0.0233695
+0.024933
+0.0264083
+0.0269058
+0.0267782
+0.0268187
+0.0270135
+0.0273828
+0.0279196
+0.0285956
+0.0294064
+0.0303539
+0.0314258
+0.0325569
+0.033761
+0.0350607
+0.0356738
+0.0361269
+0.0367053
+0.0373959
+0.0381279
+0.0389516
+0.0398789
+0.0409025
+0.0420156
+0.043954
+0.0433523
+0.0417508
+0.0402049
+0.0387213
+0.0373074
+0.0359655
+0.0347061
+0.0335427
+0.0324856
+0.0315453
+0.0307242
+0.0300111
+0.0293885
+0.028919
+0.0286099
+0.0284563
+0.0284485
+0.028609
+0.0289198
+0.0293849
+0.0300032
+0.0307072
+0.0315064
+0.0324306
+0.0333234
+0.0323598
+0.0315019
+0.0307755
+0.0301909
+0.0297564
+0.0294788
+0.0293535
+0.0293374
+0.0294569
+0.0297336
+0.030163
+0.0307168
+0.0309097
+0.0287291
+0.0265502
+0.0243734
+0.0221993
+0.0200289
+0.0178633
+0.0157048
+0.0135538
+0.0114132
+0.00929584
+0.00722242
+0.00524521
+0.00336099
+0.00153757
+-0.000609601
+-0.00274008
+-0.0049028
+-0.00656796
+-0.00690031
+-0.00572225
+-0.00410965
+-0.00215186
+-0.0001978
+0.00181333
+0.00387123
+0.00589701
+0.00784479
+0.00970389
+0.0114271
+0.0130076
+0.0143357
+0.0157118
+0.0171592
+0.0184854
+0.0197615
+0.0211878
+0.0227192
+0.0242048
+0.0256557
+0.0268359
+0.0267079
+0.0267593
+0.0269757
+0.0273305
+0.0278536
+0.0285294
+0.0293419
+0.0302914
+0.0313476
+0.0325059
+0.0337668
+0.0351193
+0.0363104
+0.0366798
+0.0371684
+0.0377596
+0.0384667
+0.0392833
+0.0401601
+0.0411317
+0.0421947
+0.0435328
+0.042954
+0.0419537
+0.0404155
+0.0389399
+0.0375343
+0.0362008
+0.0349499
+0.0337949
+0.0327459
+0.0318133
+0.0310078
+0.0303019
+0.0297167
+0.0292746
+0.0289693
+0.0288277
+0.0288522
+0.0290425
+0.029369
+0.0298285
+0.0304378
+0.0311851
+0.0320076
+0.0329195
+0.0335497
+0.0325933
+0.0317484
+0.0310354
+0.0304635
+0.0300353
+0.0297602
+0.0296449
+0.0296568
+0.029802
+0.0301065
+0.0305649
+0.0311116
+0.0311535
+0.0289912
+0.0268336
+0.0246818
+0.0225375
+0.020403
+0.0182818
+0.0161792
+0.0141008
+0.0120577
+0.0100721
+0.00816151
+0.00612805
+0.00398022
+0.00182969
+-0.000311818
+-0.00217617
+-0.00354992
+-0.00482165
+-0.00539193
+-0.00455881
+-0.00350716
+-0.00174861
+0.000109802
+0.00200877
+0.00379849
+0.00570729
+0.00762147
+0.0094044
+0.0112163
+0.0125056
+0.0137506
+0.0151602
+0.0164966
+0.0178294
+0.0191967
+0.0206386
+0.0220573
+0.0235235
+0.025014
+0.0265991
+0.0268171
+0.0268683
+0.0270838
+0.0274352
+0.0279382
+0.0286002
+0.0294108
+0.0303582
+0.0314111
+0.0325672
+0.0338258
+0.0351759
+0.0366075
+0.0371586
+0.0375732
+0.0381095
+0.0387623
+0.0395259
+0.0403702
+0.0412919
+0.042307
+0.0432186
+0.0426356
+0.0421585
+0.0407372
+0.0392683
+0.0378692
+0.0365479
+0.0353132
+0.0341745
+0.0331416
+0.0322206
+0.0314255
+0.0307377
+0.0301609
+0.0297347
+0.0294657
+0.0293398
+0.0293639
+0.0295509
+0.0298873
+0.0303579
+0.0309766
+0.0317257
+0.0325854
+0.0335305
+0.0339162
+0.0329705
+0.0321354
+0.0314312
+0.0308598
+0.0304349
+0.0301634
+0.0300496
+0.0300953
+0.0302695
+0.0305693
+0.0310212
+0.0316079
+0.0315478
+0.0294145
+0.0272904
+0.0251777
+0.0230795
+0.0210002
+0.018946
+0.016923
+0.0149257
+0.0129902
+0.0108478
+0.00868071
+0.00652941
+0.00441699
+0.00241797
+0.000816152
+-0.000623898
+-0.0019772
+-0.00301035
+-0.00389281
+-0.00313665
+-0.0021114
+-0.00117089
+0.000275874
+0.00192177
+0.00360554
+0.00559482
+0.00752667
+0.00933688
+0.0110216
+0.0121992
+0.0134411
+0.0147538
+0.0160099
+0.0173715
+0.0187247
+0.0201063
+0.0215601
+0.0230312
+0.0245363
+0.0261201
+0.0271035
+0.027153
+0.0273455
+0.0276821
+0.0281803
+0.0288367
+0.0296408
+0.0305811
+0.0316265
+0.032775
+0.034026
+0.0353685
+0.0367925
+0.0375393
+0.0379243
+0.0384074
+0.0390077
+0.0397199
+0.0405381
+0.0414349
+0.0423807
+0.0430018
+0.0424159
+0.0419363
+0.0411563
+0.0397029
+0.0383197
+0.0370145
+0.0357952
+0.0346684
+0.0336466
+0.0327397
+0.0319575
+0.0312969
+0.0307411
+0.030323
+0.0300592
+0.0299538
+0.0300042
+0.0301872
+0.0305266
+0.0310079
+0.031614
+0.0323572
+0.0332286
+0.0342096
+0.0343766
+0.0334493
+0.0326331
+0.0319324
+0.0313693
+0.0309514
+0.0306846
+0.0305729
+0.0306178
+0.0307938
+0.0311184
+0.0315919
+0.0321751
+0.0320872
+0.0299923
+0.0279122
+0.0258503
+0.0238114
+0.0217928
+0.0198015
+0.0176985
+0.0155603
+0.013439
+0.011333
+0.00924354
+0.00721434
+0.00526961
+0.00355689
+0.00229846
+0.0009384
+-0.00021298
+-0.00137238
+-0.00223505
+-0.00198023
+-0.000771245
+0.000268453
+0.00111886
+0.00232745
+0.00396735
+0.00577796
+0.00752195
+0.00933554
+0.0110379
+0.012152
+0.0133362
+0.0145831
+0.0157761
+0.0170768
+0.0184496
+0.0198034
+0.0212138
+0.0226555
+0.0241438
+0.025595
+0.0270174
+0.0274754
+0.0276656
+0.0280263
+0.0285343
+0.0291828
+0.0299776
+0.0309076
+0.0319609
+0.0331077
+0.0343465
+0.035677
+0.0370892
+0.0378703
+0.0382287
+0.038708
+0.0392596
+0.0398973
+0.0406432
+0.0414915
+0.042293
+0.0428647
+0.0422768
+0.0417956
+0.0414249
+0.0402522
+0.0388872
+0.0375981
+0.0363953
+0.0352876
+0.0342843
+0.0333948
+0.0326256
+0.0319619
+0.0314372
+0.0310388
+0.0307812
+0.0306782
+0.0307314
+0.0309377
+0.0312699
+0.0317491
+0.0323699
+0.0331131
+0.0339651
+0.0349338
+0.03493
+0.0340178
+0.0332252
+0.0325551
+0.032003
+0.0315935
+0.0313321
+0.0312227
+0.0312667
+0.0314399
+0.0317579
+0.0322219
+0.032826
+0.0327644
+0.0307158
+0.0286876
+0.0266727
+0.0245394
+0.0223964
+0.0202636
+0.0181446
+0.0160448
+0.013973
+0.0119369
+0.0099617
+0.00809819
+0.00640818
+0.00503311
+0.00393716
+0.0026747
+0.00137875
+0.000152521
+-0.000742091
+-0.000706516
+0.000475552
+0.00188283
+0.00267338
+0.0032467
+0.00447361
+0.0058449
+0.00745171
+0.00911518
+0.0107708
+0.0123729
+0.0134448
+0.0145855
+0.0157939
+0.0170582
+0.018404
+0.0196718
+0.0207999
+0.0218786
+0.0231152
+0.0244856
+0.0259688
+0.0274825
+0.0281531
+0.0285076
+0.0290236
+0.0296766
+0.0304586
+0.0313743
+0.0324125
+0.0335617
+0.0347938
+0.0361078
+0.0375038
+0.038233
+0.0385155
+0.0389195
+0.0394412
+0.0399033
+0.0404663
+0.0411347
+0.0418886
+0.0428393
+0.0422511
+0.0417696
+0.0413986
+0.0408977
+0.0395528
+0.0382862
+0.0371057
+0.0360199
+0.0350375
+0.0341676
+0.0334079
+0.0327601
+0.0322484
+0.0318793
+0.0316386
+0.0315384
+0.0315901
+0.0317931
+0.032143
+0.0326109
+0.0332155
+0.033951
+0.034809
+0.0357695
+0.0356098
+0.0347154
+0.0339391
+0.0332841
+0.0327443
+0.0323442
+0.032089
+0.0319821
+0.0320251
+0.0322173
+0.0325325
+0.0329799
+0.033555
+0.033397
+0.0313717
+0.0292374
+0.027112
+0.024998
+0.0228983
+0.020817
+0.0187563
+0.0167257
+0.0147411
+0.0128238
+0.0110089
+0.00931915
+0.00786574
+0.00674941
+0.00556433
+0.00424549
+0.00283836
+0.00149972
+0.000788525
+0.000787377
+0.00158793
+0.00299883
+0.00421927
+0.00463982
+0.00540154
+0.00647881
+0.00784823
+0.00923766
+0.010842
+0.0125784
+0.0137742
+0.0148112
+0.0159544
+0.0169537
+0.0176669
+0.0185723
+0.0196523
+0.0207907
+0.0220882
+0.0235185
+0.0250585
+0.0265881
+0.0281908
+0.0291185
+0.0296357
+0.0302912
+0.0310745
+0.0319726
+0.032992
+0.0341217
+0.0353512
+0.0366647
+0.0380402
+0.0385314
+0.0386202
+0.0388326
+0.0391666
+0.0396191
+0.0401824
+0.0408364
+0.0415957
+0.0429259
+0.0423388
+0.0418583
+0.0414881
+0.0412311
+0.0403198
+0.039078
+0.0379222
+0.0368604
+0.0359011
+0.0350526
+0.0343107
+0.0336803
+0.0331827
+0.0328241
+0.0326077
+0.0325105
+0.0325607
+0.0327577
+0.0330988
+0.0335692
+0.034157
+0.0348727
+0.0357087
+0.0366567
+0.0364089
+0.0355346
+0.0347766
+0.0341377
+0.0336116
+0.033222
+0.0329735
+0.0328695
+0.0329114
+0.0330984
+0.033415
+0.0338412
+0.0344018
+0.0333301
+0.0318054
+0.0297722
+0.0276879
+0.0256214
+0.0235773
+0.0215617
+0.0195795
+0.0176439
+0.0157753
+0.0139875
+0.0123076
+0.0108122
+0.00958781
+0.00851793
+0.00721142
+0.00576985
+0.00408249
+0.00282182
+0.00221151
+0.00210556
+0.00267966
+0.00398857
+0.00564224
+0.00612795
+0.00659501
+0.00742525
+0.00853162
+0.00982199
+0.0112975
+0.0129129
+0.0140687
+0.0145431
+0.0150395
+0.0157759
+0.0164835
+0.0174394
+0.0185964
+0.0198776
+0.021231
+0.0227154
+0.0242764
+0.0258445
+0.0274905
+0.0291997
+0.0303053
+0.030958
+0.0317377
+0.032646
+0.0336696
+0.0347773
+0.0359844
+0.0372812
+0.0383981
+0.0383623
+0.0384516
+0.0386649
+0.0390003
+0.0394511
+0.0399972
+0.0406542
+0.0414168
+0.0431237
+0.0425394
+0.0420612
+0.0416927
+0.041437
+0.0411892
+0.0399744
+0.0388452
+0.0378094
+0.0368748
+0.0360492
+0.0353218
+0.0347097
+0.0342271
+0.0338796
+0.0336713
+0.0335826
+0.0336312
+0.0338219
+0.0341524
+0.0346187
+0.0352054
+0.0359002
+0.0367128
+0.0376355
+0.0373196
+0.0364672
+0.035729
+0.0351074
+0.0345961
+0.0342176
+0.0339765
+0.0338756
+0.0339161
+0.0340977
+0.0344051
+0.0348191
+0.0337063
+0.0320643
+0.0304875
+0.0289788
+0.027539
+0.0261829
+0.0244345
+0.0224959
+0.0206037
+0.0187621
+0.0169914
+0.0153281
+0.0138122
+0.0124981
+0.0113353
+0.010175
+0.00866106
+0.00699001
+0.00542301
+0.00423527
+0.00349078
+0.00344016
+0.00390924
+0.00502017
+0.00655906
+0.0077779
+0.00802963
+0.00866963
+0.00961735
+0.0107474
+0.0117795
+0.0118139
+0.0121715
+0.0128206
+0.0137619
+0.0146369
+0.0154805
+0.0164937
+0.017684
+0.0190509
+0.0205608
+0.0220765
+0.0236497
+0.02525
+0.0269196
+0.0286596
+0.0304577
+0.0317071
+0.0324973
+0.0334095
+0.0344133
+0.0355212
+0.0367038
+0.0379761
+0.0383356
+0.0382998
+0.0383892
+0.0386028
+0.0389388
+0.0393844
+0.0399314
+0.0405895
+0.0413533
+0.0434188
+0.0428511
+0.0423764
+0.0420107
+0.041757
+0.0416171
+0.0409684
+0.0398674
+0.0388588
+0.03795
+0.0371484
+0.0364366
+0.0358436
+0.0353765
+0.0350404
+0.034839
+0.0347598
+0.0348068
+0.0349911
+0.0353107
+0.0357618
+0.0363378
+0.0370214
+0.0378172
+0.0387136
+0.0382716
+0.0374327
+0.0367056
+0.036097
+0.0356129
+0.0352469
+0.0350128
+0.0349149
+0.0349543
+0.0351305
+0.0354282
+0.0343522
+0.0325957
+0.0308947
+0.029259
+0.0276994
+0.0262137
+0.02481
+0.0234639
+0.0221766
+0.0210392
+0.0200219
+0.0183731
+0.0168478
+0.0154814
+0.0142079
+0.0130889
+0.0115506
+0.00984787
+0.00816997
+0.00669886
+0.0055376
+0.00482614
+0.00470298
+0.00518845
+0.00614534
+0.00749129
+0.00910412
+0.00961083
+0.0101516
+0.0106875
+0.00997755
+0.00970391
+0.00974582
+0.0102359
+0.0110872
+0.0121756
+0.0134863
+0.0146922
+0.015765
+0.0170064
+0.0184167
+0.0199591
+0.021573
+0.0231706
+0.0248086
+0.0265144
+0.0282793
+0.0300992
+0.0319618
+0.0333248
+0.0342182
+0.0352252
+0.0363145
+0.0374969
+0.0385497
+0.0383922
+0.0383565
+0.0384457
+0.0386591
+0.0389945
+0.0394395
+0.0399858
+0.040643
+0.0414057
+0.0437767
+0.0432442
+0.0427868
+0.0424247
+0.0421734
+0.0420349
+0.0420104
+0.0409812
+0.0400008
+0.0391185
+0.0383321
+0.0376415
+0.0370678
+0.0366163
+0.0362916
+0.0360973
+0.0360319
+0.0360773
+0.0362551
+0.0365636
+0.0369995
+0.0375565
+0.0382183
+0.0389921
+0.0398714
+0.0392891
+0.0384724
+0.0377653
+0.037174
+0.0367025
+0.036346
+0.036119
+0.0360241
+0.0360623
+0.0362331
+0.0352507
+0.0334072
+0.0315982
+0.0298404
+0.0281434
+0.026519
+0.0249811
+0.0234855
+0.0220024
+0.020629
+0.0194011
+0.0183536
+0.0175186
+0.0168915
+0.0165139
+0.0159111
+0.0143511
+0.0125201
+0.0108154
+0.00930483
+0.00793121
+0.00674667
+0.00605563
+0.00596942
+0.00645615
+0.00730165
+0.00858742
+0.0100797
+0.0113618
+0.010037
+0.00880161
+0.00792881
+0.0075732
+0.00762683
+0.00823743
+0.00927412
+0.0105816
+0.0121089
+0.0137115
+0.0152648
+0.0165523
+0.0179918
+0.0195648
+0.0211858
+0.0228686
+0.0245267
+0.0262606
+0.0280367
+0.0298673
+0.0317435
+0.0336355
+0.0351418
+0.0361232
+0.0372078
+0.0383659
+0.0386996
+0.0385639
+0.0385339
+0.0386228
+0.0388351
+0.0391691
+0.0396159
+0.0401597
+0.0408141
+0.0415738
+0.044213
+0.0436858
+0.0432632
+0.042918
+0.0426696
+0.0425328
+0.0425085
+0.0421622
+0.0412089
+0.040352
+0.0395872
+0.0389189
+0.0383642
+0.0379282
+0.0376149
+0.0374274
+0.0373676
+0.0374273
+0.0375988
+0.0378963
+0.038317
+0.0388569
+0.0395005
+0.0402497
+0.0411021
+0.0403999
+0.0396061
+0.0389196
+0.0383461
+0.0378861
+0.0375408
+0.0373211
+0.0372293
+0.0372662
+0.0363248
+0.0344423
+0.0325577
+0.0307138
+0.0289139
+0.0271591
+0.0254719
+0.0238667
+0.0222131
+0.0206388
+0.0191857
+0.0178638
+0.0167202
+0.0157991
+0.0151339
+0.0147113
+0.0146084
+0.014832
+0.0136331
+0.0120564
+0.0104975
+0.00919551
+0.00819034
+0.00758845
+0.00744212
+0.00782677
+0.00858172
+0.00968751
+0.0110658
+0.00990009
+0.00848437
+0.00700166
+0.00593155
+0.00547648
+0.00556368
+0.00636679
+0.0076234
+0.00913916
+0.0108621
+0.0123623
+0.0140135
+0.0157753
+0.0176273
+0.0192835
+0.0209905
+0.0226627
+0.0243578
+0.0260929
+0.0278092
+0.0295882
+0.0314192
+0.0332937
+0.0352048
+0.0371288
+0.0381848
+0.0390933
+0.0388356
+0.0387003
+0.0386704
+0.038759
+0.0389706
+0.0393034
+0.0397543
+0.0403194
+0.0409939
+0.0417707
+0.0447523
+0.0442316
+0.0438143
+0.0435035
+0.0432712
+0.0431363
+0.0431124
+0.0431997
+0.0424919
+0.0416615
+0.0409211
+0.040275
+0.0397393
+0.0393185
+0.0390163
+0.0388356
+0.0387779
+0.038844
+0.039018
+0.0393048
+0.0397106
+0.0402317
+0.0408601
+0.0415847
+0.0424103
+0.0415964
+0.0408259
+0.0401603
+0.0396048
+0.0391566
+0.0388226
+0.0386102
+0.0385214
+0.0376167
+0.0356763
+0.0337569
+0.0318317
+0.0299431
+0.0280984
+0.0263068
+0.0245574
+0.0227787
+0.0210776
+0.019427
+0.0178758
+0.0164658
+0.0152175
+0.0141992
+0.0134379
+0.0129817
+0.0128868
+0.0131534
+0.0137113
+0.0131054
+0.0116889
+0.0104782
+0.00957784
+0.00903539
+0.00891744
+0.00918579
+0.00986215
+0.0108624
+0.0102452
+0.00843469
+0.00680515
+0.00539782
+0.00404209
+0.00333837
+0.00363947
+0.00474672
+0.00626643
+0.00793449
+0.00936024
+0.0110197
+0.0128276
+0.0147305
+0.0166737
+0.0186682
+0.0206415
+0.0222875
+0.0240066
+0.0257972
+0.0275695
+0.029363
+0.0312073
+0.0330938
+0.0350138
+0.0369527
+0.0389117
+0.03935
+0.039094
+0.0389596
+0.03893
+0.0390179
+0.0392281
+0.0395588
+0.0400068
+0.0405684
+0.0412388
+0.0420129
+0.0453911
+0.0448778
+0.0444666
+0.0441604
+0.0439613
+0.0438411
+0.0438175
+0.0439035
+0.043847
+0.0430427
+0.0423265
+0.0417021
+0.041185
+0.0407791
+0.0404878
+0.0403137
+0.0402582
+0.0403218
+0.0405037
+0.0407824
+0.0411736
+0.0416764
+0.0422869
+0.04299
+0.0437159
+0.0428716
+0.0421245
+0.0414796
+0.0409349
+0.0404972
+0.0401744
+0.0399692
+0.0391118
+0.0371204
+0.0351526
+0.0332021
+0.0312428
+0.0293163
+0.0274295
+0.0255772
+0.0236728
+0.0218221
+0.0200402
+0.0183329
+0.0167094
+0.01521
+0.0138481
+0.0127194
+0.0118619
+0.0113552
+0.0112216
+0.0115001
+0.0121323
+0.0131021
+0.01298
+0.0118816
+0.0110592
+0.0105607
+0.010441
+0.010681
+0.0112792
+0.0112958
+0.00925578
+0.00727609
+0.00538387
+0.00371547
+0.00231661
+0.00126464
+0.00179175
+0.00331351
+0.00497692
+0.00643509
+0.0081039
+0.00995935
+0.0119092
+0.0138982
+0.015924
+0.0179749
+0.0200554
+0.0220989
+0.023847
+0.0256408
+0.0273458
+0.0290945
+0.0308948
+0.0327426
+0.0346299
+0.0365393
+0.0384778
+0.0397221
+0.0394725
+0.0393394
+0.03931
+0.0393971
+0.0396054
+0.0399329
+0.0403768
+0.0409332
+0.0415978
+0.0423653
+0.0461253
+0.0456202
+0.0452157
+0.0449146
+0.0447189
+0.0446299
+0.0446192
+0.0447036
+0.0448739
+0.0444889
+0.0437963
+0.0431932
+0.0426941
+0.0423027
+0.0420221
+0.0418543
+0.0418008
+0.0418621
+0.0420376
+0.0423117
+0.0426889
+0.0431742
+0.0437638
+0.0444536
+0.045017
+0.0442038
+0.0434858
+0.0428527
+0.0423216
+0.0418984
+0.0415865
+0.040765
+0.0387395
+0.0367329
+0.0347485
+0.0327847
+0.0307988
+0.0288427
+0.0269169
+0.0249224
+0.0229637
+0.0210508
+0.0191974
+0.0174085
+0.0156984
+0.0140901
+0.0126451
+0.0114067
+0.0104314
+0.00985196
+0.00969769
+0.0100035
+0.0107275
+0.0118009
+0.0131446
+0.0133837
+0.0126268
+0.0121576
+0.012009
+0.0121878
+0.0125465
+0.010462
+0.00843144
+0.00647262
+0.00437784
+0.00238952
+0.000645814
+-0.000707015
+0.000306842
+0.00207896
+0.00359699
+0.00535651
+0.00726043
+0.00924933
+0.0112665
+0.013315
+0.0154018
+0.017514
+0.0193778
+0.0209556
+0.0225894
+0.0243067
+0.0260695
+0.0278929
+0.029766
+0.0316682
+0.0336021
+0.0355657
+0.0375545
+0.0395647
+0.0399546
+0.0398258
+0.0398072
+0.0398932
+0.0400989
+0.0404224
+0.040861
+0.0414109
+0.0420679
+0.042827
+0.0469502
+0.0464541
+0.046057
+0.0457614
+0.0455693
+0.045482
+0.0455002
+0.045595
+0.045762
+0.045994
+0.04532
+0.0447375
+0.0442558
+0.0438783
+0.0436078
+0.0434462
+0.0433947
+0.0434537
+0.0436228
+0.0438916
+0.0442553
+0.0447236
+0.045293
+0.0459599
+0.0463851
+0.0455963
+0.0449007
+0.0442878
+0.0437741
+0.043365
+0.0423361
+0.040522
+0.0384836
+0.036463
+0.0344631
+0.0324878
+0.0304902
+0.0285061
+0.0264713
+0.024447
+0.0224469
+0.020484
+0.0185612
+0.0166762
+0.0148728
+0.0131609
+0.0116007
+0.0102496
+0.00920319
+0.00854128
+0.00836287
+0.00873555
+0.00952012
+0.010703
+0.0121654
+0.0137929
+0.0142615
+0.0138104
+0.0136575
+0.013787
+0.0121219
+0.00994881
+0.00778557
+0.00564356
+0.00356126
+0.00161467
+-0.000443826
+-0.00243399
+-0.000888359
+0.000833246
+0.00282043
+0.0047921
+0.00684795
+0.00886638
+0.0109399
+0.0128082
+0.0147612
+0.0163214
+0.0179021
+0.0195528
+0.0212777
+0.0230639
+0.0249147
+0.0268071
+0.0287341
+0.0306965
+0.0326879
+0.0347034
+0.0367389
+0.0386869
+0.0404718
+0.0403436
+0.0403326
+0.0404405
+0.0406662
+0.0410079
+0.0414554
+0.0419976
+0.0426455
+0.0433945
+0.0478613
+0.0473747
+0.0469853
+0.0466956
+0.0465074
+0.0464219
+0.0464397
+0.0465607
+0.046736
+0.0469935
+0.0468924
+0.0463296
+0.0458646
+0.0455005
+0.0452397
+0.0450839
+0.0450343
+0.0450911
+0.0452541
+0.0455221
+0.0458729
+0.0463247
+0.0468747
+0.0475195
+0.0478145
+0.0470497
+0.0463758
+0.0457808
+0.0446037
+0.0430345
+0.0415061
+0.0400149
+0.0383515
+0.0363235
+0.0343154
+0.0323311
+0.0303072
+0.0282306
+0.0261726
+0.0241377
+0.0221009
+0.0200965
+0.0181156
+0.0161687
+0.0142926
+0.0125187
+0.0108639
+0.00938458
+0.00822896
+0.00745599
+0.0072534
+0.00764293
+0.00855523
+0.0098546
+0.0114295
+0.013171
+0.0150106
+0.0155621
+0.0154038
+0.0142697
+0.0120857
+0.0099047
+0.00772913
+0.00556543
+0.00343017
+0.00129726
+-0.000638112
+-0.00264497
+-0.00155059
+0.000496066
+0.00246053
+0.00442383
+0.00641358
+0.00820004
+0.0100767
+0.0118527
+0.0132839
+0.0148647
+0.016539
+0.0182718
+0.0200864
+0.0219627
+0.0238787
+0.0258384
+0.0278326
+0.0298543
+0.0318983
+0.0339607
+0.0358976
+0.0378364
+0.0398013
+0.0409722
+0.0409613
+0.0410675
+0.0412899
+0.0416264
+0.0420745
+0.0426306
+0.0432906
+0.0440497
+0.0488536
+0.0483771
+0.0479958
+0.0477122
+0.047528
+0.0474444
+0.0474618
+0.0475802
+0.0477815
+0.0480425
+0.0483923
+0.0479689
+0.04752
+0.0471687
+0.0469171
+0.0467669
+0.0467191
+0.0467739
+0.0469311
+0.0471895
+0.0475364
+0.0479726
+0.0485039
+0.0491272
+0.0492998
+0.0485584
+0.0472194
+0.0455398
+0.0439052
+0.0423102
+0.0407561
+0.0392499
+0.0378051
+0.0362427
+0.0343073
+0.0323041
+0.030206
+0.0281219
+0.0260553
+0.0240056
+0.0219435
+0.0199085
+0.0178939
+0.015917
+0.0139823
+0.0121306
+0.0103836
+0.00882418
+0.00756375
+0.00676042
+0.0065336
+0.00696896
+0.0079481
+0.00933505
+0.0109846
+0.0127919
+0.0146791
+0.0166403
+0.0167142
+0.014572
+0.0124311
+0.0103041
+0.00821078
+0.0061832
+0.00410001
+0.00205246
+-7.37168e-05
+-0.0019358
+-0.00189047
+-0.000160747
+0.00169143
+0.00363569
+0.00552764
+0.00719606
+0.0088789
+0.0102825
+0.0118587
+0.0135555
+0.0153028
+0.0171486
+0.0190453
+0.020999
+0.0229955
+0.0250244
+0.0270786
+0.0291526
+0.0312417
+0.0331632
+0.0351163
+0.0370959
+0.0390981
+0.0411194
+0.0416958
+0.0418001
+0.0420186
+0.0423494
+0.0427899
+0.0433368
+0.0439861
+0.0447334
+0.0499225
+0.0494562
+0.0490834
+0.0488061
+0.048626
+0.0485443
+0.0485613
+0.048677
+0.0488738
+0.0491466
+0.0495087
+0.0496508
+0.0492173
+0.0488781
+0.0486354
+0.0484905
+0.0484444
+0.0484973
+0.0486488
+0.0488982
+0.0492411
+0.0496624
+0.0501758
+0.0507786
+0.0501763
+0.0484029
+0.0466631
+0.0449627
+0.0433064
+0.0416885
+0.0401103
+0.0385789
+0.0371137
+0.0355933
+0.0339895
+0.0323578
+0.0302634
+0.0281836
+0.0261201
+0.0240395
+0.0219686
+0.0199103
+0.0178708
+0.0158717
+0.0139302
+0.012053
+0.0102821
+0.00870458
+0.00742387
+0.00660612
+0.00637377
+0.00682831
+0.0078151
+0.00922238
+0.0108891
+0.0127157
+0.0146152
+0.0165797
+0.0170756
+0.0149269
+0.0127706
+0.0106227
+0.00849681
+0.00641465
+0.00429761
+0.00228739
+0.000487175
+-0.00103038
+-0.00118156
+-0.000246898
+0.00117976
+0.00285124
+0.00437817
+0.00597894
+0.00733801
+0.00891563
+0.0105554
+0.0123303
+0.014207
+0.0161629
+0.0181725
+0.0202197
+0.0222933
+0.0243807
+0.0264849
+0.0285656
+0.0304984
+0.032464
+0.0344567
+0.0364722
+0.0385068
+0.0405576
+0.0425162
+0.0426185
+0.0428328
+0.0431573
+0.0435897
+0.0441267
+0.0447646
+0.0454991
+0.051063
+0.0506072
+0.0502429
+0.0499721
+0.0497962
+0.0497164
+0.049733
+0.049846
+0.0500366
+0.0503046
+0.0506645
+0.0511157
+0.0509521
+0.0506246
+0.0503903
+0.0502505
+0.050206
+0.050257
+0.0504033
+0.050644
+0.0509778
+0.05139
+0.0518863
+0.0515647
+0.0497498
+0.0479606
+0.0462041
+0.0444862
+0.0428115
+0.0411742
+0.0395755
+0.0380225
+0.036535
+0.0350688
+0.0334399
+0.0318715
+0.0303802
+0.0284123
+0.0263166
+0.0242245
+0.0221489
+0.0200978
+0.0180795
+0.0161062
+0.0141867
+0.0123334
+0.0106095
+0.00908891
+0.00784138
+0.00704649
+0.00683854
+0.007251
+0.00822517
+0.00957638
+0.0111905
+0.0129747
+0.0148661
+0.0168044
+0.017031
+0.0148724
+0.0127248
+0.0105948
+0.0084911
+0.00641161
+0.00442681
+0.00264535
+0.00136413
+0.000363033
+-7.40917e-05
+9.658e-05
+0.000720789
+0.00190821
+0.00316066
+0.00457691
+0.00595242
+0.0075523
+0.00936853
+0.0113126
+0.0133333
+0.0154006
+0.0174933
+0.019598
+0.0217198
+0.023854
+0.0259835
+0.0279232
+0.0298975
+0.0319002
+0.033926
+0.0359712
+0.0380326
+0.0401077
+0.0421642
+0.043527
+0.0437368
+0.0440547
+0.0444784
+0.0450048
+0.0456304
+0.0463512
+0.0522704
+0.0518253
+0.0514696
+0.0512053
+0.0510337
+0.0509558
+0.0509574
+0.0510495
+0.0512352
+0.0515135
+0.0518717
+0.0523125
+0.052721
+0.0524045
+0.0521782
+0.0520432
+0.0520002
+0.0520495
+0.0521908
+0.0524232
+0.0527458
+0.0531453
+0.0530844
+0.0512375
+0.0494167
+0.047615
+0.0458453
+0.0441134
+0.042424
+0.0407712
+0.039156
+0.0375858
+0.0360803
+0.0346479
+0.0330117
+0.0314375
+0.0299249
+0.0284877
+0.0266416
+0.0245749
+0.0225317
+0.0205188
+0.0185364
+0.0165907
+0.0147141
+0.0129366
+0.011305
+0.00989194
+0.00875954
+0.00804985
+0.00786029
+0.00823525
+0.00910471
+0.0103416
+0.0118519
+0.0135494
+0.0153721
+0.0172733
+0.0172593
+0.0151304
+0.0130132
+0.0109243
+0.00888454
+0.00693744
+0.00515584
+0.00371341
+0.00261526
+0.00196223
+0.00118465
+0.000746657
+0.000799322
+0.00127842
+0.00206939
+0.00307015
+0.00465193
+0.00653447
+0.00856188
+0.0106341
+0.0127419
+0.0148737
+0.0170205
+0.0191772
+0.0213407
+0.0235071
+0.0254647
+0.0274411
+0.0294478
+0.031479
+0.0335303
+0.0355983
+0.0376801
+0.0397075
+0.0417256
+0.0437591
+0.04473
+0.0450409
+0.0454553
+0.0459706
+0.0465832
+0.0472895
+0.0535404
+0.0531059
+0.0527588
+0.052501
+0.0523225
+0.0522288
+0.0522268
+0.0523167
+0.0524979
+0.0527695
+0.0531242
+0.0535547
+0.0540707
+0.0542045
+0.0539857
+0.0538553
+0.0538137
+0.0538613
+0.0539978
+0.0542226
+0.0545345
+0.0547259
+0.0528456
+0.0509902
+0.0491623
+0.0473648
+0.0455891
+0.0438471
+0.0421469
+0.0404829
+0.0388557
+0.0372728
+0.0357542
+0.0343082
+0.0327118
+0.0311224
+0.0295994
+0.0281582
+0.0268046
+0.0251122
+0.0231068
+0.0211278
+0.0191947
+0.0173232
+0.0155353
+0.0138634
+0.0123549
+0.0110766
+0.0100782
+0.00945004
+0.0092891
+0.009626
+0.0103796
+0.01148
+0.0128573
+0.014437
+0.0161599
+0.0179779
+0.0176848
+0.0156018
+0.0135529
+0.011556
+0.00964359
+0.00787743
+0.00627342
+0.00482515
+0.00363909
+0.00296193
+0.00245657
+0.00161796
+0.00149757
+0.00110236
+0.00105921
+0.00214133
+0.00401705
+0.00604388
+0.00814775
+0.0102871
+0.0124376
+0.0145883
+0.0167492
+0.0189144
+0.0210837
+0.0231184
+0.0250726
+0.027063
+0.0290822
+0.0311247
+0.033186
+0.035263
+0.037323
+0.0393414
+0.0413774
+0.0434265
+0.0454868
+0.0461101
+0.0465151
+0.0470187
+0.0476178
+0.048309
+0.0548573
+0.0544333
+0.0540948
+0.0538296
+0.0536491
+0.0535577
+0.0535557
+0.0536434
+0.0538201
+0.0540851
+0.054436
+0.0548563
+0.0553601
+0.0559452
+0.055819
+0.0556928
+0.0556527
+0.0556987
+0.0558307
+0.0560481
+0.0563499
+0.0545824
+0.052697
+0.0508361
+0.0490024
+0.0471989
+0.0454211
+0.0436806
+0.0419822
+0.0403117
+0.0386774
+0.0370869
+0.0355603
+0.0341061
+0.0325568
+0.0309595
+0.029428
+0.027978
+0.0266267
+0.0253702
+0.0238394
+0.0219266
+0.0200707
+0.018289
+0.0166054
+0.0150529
+0.0136762
+0.0125334
+0.0116571
+0.011106
+0.0109694
+0.0112654
+0.0119232
+0.0128919
+0.0141322
+0.0155833
+0.0171917
+0.0189115
+0.0181968
+0.0161816
+0.0142008
+0.0122806
+0.0104671
+0.00876012
+0.00717938
+0.00584256
+0.00473205
+0.00402743
+0.00355891
+0.00265914
+0.00208804
+0.000764571
+0.000837576
+0.00197374
+0.00387253
+0.00593384
+0.0080338
+0.0101721
+0.0123288
+0.0144957
+0.0166686
+0.018843
+0.0208374
+0.0227766
+0.0247578
+0.0267716
+0.0288112
+0.0308716
+0.0329488
+0.0350398
+0.0370622
+0.0390941
+0.0411423
+0.0432026
+0.045273
+0.0472568
+0.047652
+0.0481437
+0.048729
+0.0494046
+0.0562129
+0.0557992
+0.0554689
+0.0552069
+0.0550309
+0.0549418
+0.0549399
+0.0550253
+0.0551976
+0.055456
+0.0557993
+0.0562132
+0.0567049
+0.0572763
+0.0576772
+0.0575551
+0.0575163
+0.0575608
+0.0576886
+0.057899
+0.0564359
+0.0545266
+0.0526392
+0.0507761
+0.0489403
+0.0471344
+0.045354
+0.0436108
+0.0419096
+0.0402558
+0.0386227
+0.0370299
+0.0355008
+0.0340441
+0.0325488
+0.0309511
+0.0294192
+0.0279687
+0.0266169
+0.02536
+0.0242147
+0.0228923
+0.0211214
+0.0194362
+0.0178611
+0.0164277
+0.0151763
+0.0141541
+0.0133503
+0.0128692
+0.0127514
+0.013007
+0.0136148
+0.0144673
+0.0155827
+0.0169097
+0.0184026
+0.0200242
+0.0186633
+0.0166914
+0.0147812
+0.01296
+0.0112288
+0.00965604
+0.00825108
+0.0070277
+0.00596192
+0.00526165
+0.00466723
+0.00390167
+0.00266572
+0.00156681
+0.00154332
+0.00260571
+0.00433887
+0.00632138
+0.00840294
+0.010496
+0.0125972
+0.0147245
+0.016868
+0.0187917
+0.0206907
+0.0226425
+0.0246344
+0.0266576
+0.0287054
+0.0307728
+0.0328562
+0.0349093
+0.0369297
+0.0389685
+0.041023
+0.043089
+0.0451647
+0.0472507
+0.0488566
+0.0493363
+0.0499076
+0.0505656
+0.05762
+0.0572165
+0.0568909
+0.0566355
+0.0564639
+0.0563771
+0.0563752
+0.0564585
+0.0566264
+0.0568783
+0.057213
+0.0576214
+0.0581012
+0.058659
+0.0592925
+0.0594398
+0.0594022
+0.0594453
+0.059569
+0.058395
+0.056467
+0.0545587
+0.0526725
+0.0508107
+0.0489761
+0.0471715
+0.0453927
+0.043651
+0.0419514
+0.0402993
+0.0386864
+0.0371023
+0.0355763
+0.0341229
+0.0326763
+0.0310975
+0.0295731
+0.0281306
+0.026787
+0.0255384
+0.0244112
+0.0233313
+0.022338
+0.0207519
+0.0192845
+0.0179651
+0.0168283
+0.0158843
+0.015169
+0.0147474
+0.0146448
+0.0148678
+0.0154023
+0.0161852
+0.0171895
+0.018401
+0.0197816
+0.0212527
+0.0193183
+0.0174266
+0.0156076
+0.0138664
+0.0122628
+0.0108004
+0.00945944
+0.0081937
+0.00718812
+0.00661467
+0.0058902
+0.0053349
+0.00411143
+0.00338694
+0.00330489
+0.00404282
+0.00539698
+0.00712425
+0.00903016
+0.0110157
+0.0130669
+0.0151573
+0.0170663
+0.0188848
+0.0207753
+0.0227198
+0.0247055
+0.0267233
+0.0287595
+0.0308135
+0.0328851
+0.0349064
+0.036927
+0.0389659
+0.0410205
+0.0430866
+0.0451624
+0.0472486
+0.0493438
+0.0505791
+0.0511366
+0.051779
+0.0590748
+0.0586812
+0.0583605
+0.0581115
+0.0579443
+0.0578597
+0.0578579
+0.0579391
+0.0581027
+0.0583482
+0.0586746
+0.0590773
+0.0595454
+0.0600898
+0.0607084
+0.0613449
+0.0613084
+0.0613502
+0.0604495
+0.0585071
+0.0565829
+0.0546787
+0.0527968
+0.0509395
+0.0491097
+0.0473103
+0.0455368
+0.0438009
+0.0421074
+0.0404616
+0.0388554
+0.0372854
+0.0357668
+0.034321
+0.0329305
+0.0313867
+0.0298873
+0.0284607
+0.0271334
+0.0259015
+0.0247909
+0.0237286
+0.0228117
+0.0220486
+0.0208414
+0.0196269
+0.0185893
+0.0177138
+0.0170753
+0.0167019
+0.0166113
+0.0168083
+0.0172829
+0.018006
+0.0189139
+0.0200213
+0.0212972
+0.022028
+0.0201681
+0.0183633
+0.0165976
+0.0149152
+0.0133484
+0.0119224
+0.0107181
+0.00958991
+0.00871303
+0.00818827
+0.00741497
+0.00699991
+0.00596197
+0.00542684
+0.00532744
+0.00585256
+0.00691453
+0.00835344
+0.0100481
+0.0119058
+0.0138303
+0.015714
+0.0174077
+0.0192019
+0.0210712
+0.0229961
+0.0249488
+0.026937
+0.0289545
+0.0309955
+0.033043
+0.0350407
+0.037054
+0.0390863
+0.0411349
+0.0431955
+0.0452663
+0.0473479
+0.0494389
+0.0515382
+0.0524283
+0.053055
+0.0605739
+0.0601901
+0.0598742
+0.0596315
+0.0594686
+0.0593862
+0.0593844
+0.0594635
+0.059623
+0.0598622
+0.0601804
+0.0605761
+0.0610341
+0.0615653
+0.0621692
+0.0628437
+0.063233
+0.06259
+0.060637
+0.0587009
+0.0567832
+0.0548859
+0.0530113
+0.0511619
+0.0493403
+0.0475496
+0.0457854
+0.0440593
+0.0423761
+0.0407412
+0.0391465
+0.0375888
+0.036083
+0.0346503
+0.0332734
+0.0318049
+0.0303371
+0.0289327
+0.0276308
+0.0264417
+0.025351
+0.0243175
+0.0234236
+0.0226547
+0.0220462
+0.0213842
+0.0204121
+0.0196175
+0.0190429
+0.0187088
+0.018628
+0.0188039
+0.0192293
+0.0198883
+0.0207266
+0.0217419
+0.0229221
+0.0228718
+0.0210429
+0.0192801
+0.0175902
+0.0159919
+0.014495
+0.0131852
+0.0120661
+0.0110636
+0.0103568
+0.00974088
+0.00902204
+0.00868164
+0.00794115
+0.00751397
+0.00742987
+0.00782997
+0.00868424
+0.00990218
+0.0113683
+0.0130392
+0.0148459
+0.016364
+0.0179966
+0.0197374
+0.0215603
+0.0234451
+0.0253632
+0.0273213
+0.0293124
+0.0313301
+0.0333292
+0.0353107
+0.0373094
+0.0393285
+0.0413651
+0.0434148
+0.0454756
+0.047548
+0.0496306
+0.0517221
+0.0537783
+0.0543895
+0.0621141
+0.0617399
+0.0614287
+0.0611922
+0.0610335
+0.0609531
+0.0609515
+0.0610285
+0.0611839
+0.0614171
+0.0617272
+0.0621131
+0.062564
+0.0630823
+0.0636719
+0.0643306
+0.0648079
+0.0628475
+0.0609028
+0.0589754
+0.0570669
+0.0551794
+0.0533131
+0.0514713
+0.0496578
+0.0478758
+0.0461291
+0.0444218
+0.0427555
+0.0411357
+0.0395569
+0.0380161
+0.036528
+0.0351135
+0.0337554
+0.0323423
+0.0309251
+0.0295486
+0.0282751
+0.027119
+0.0260493
+0.0250658
+0.0242083
+0.0234362
+0.0228353
+0.0223437
+0.0220382
+0.0215757
+0.0210546
+0.0207529
+0.0206801
+0.0208387
+0.0212233
+0.0218222
+0.0226063
+0.0235406
+0.0246349
+0.02378
+0.0220266
+0.0203454
+0.0187314
+0.017193
+0.0158092
+0.0145785
+0.0135432
+0.0126529
+0.0119066
+0.0114368
+0.0107829
+0.0104787
+0.0100061
+0.00961608
+0.00956736
+0.00987973
+0.0105809
+0.0116361
+0.0129271
+0.0144185
+0.0158412
+0.0172607
+0.0188236
+0.0204942
+0.0222553
+0.0240857
+0.0259565
+0.027873
+0.0298272
+0.0318123
+0.0337554
+0.0357133
+0.0376906
+0.0396903
+0.0417093
+0.0437429
+0.0457889
+0.0478478
+0.0499178
+0.0519978
+0.0540865
+0.055778
+0.0636924
+0.0633265
+0.0630211
+0.0627906
+0.0626359
+0.0625576
+0.0625559
+0.062631
+0.0627824
+0.0630097
+0.063312
+0.0636883
+0.0641323
+0.0646381
+0.0652135
+0.0658568
+0.0651296
+0.0631766
+0.0612397
+0.0593204
+0.0574205
+0.0555421
+0.0536874
+0.0518588
+0.0500594
+0.0482923
+0.0465612
+0.0448703
+0.0432243
+0.0416246
+0.0400789
+0.0385634
+0.0370972
+0.0357052
+0.0343704
+0.0330115
+0.0316329
+0.0303107
+0.0290705
+0.0279473
+0.0269084
+0.0259574
+0.0251328
+0.0243774
+0.0237741
+0.0233178
+0.0230252
+0.022939
+0.0229761
+0.0228242
+0.0227581
+0.0229022
+0.0232528
+0.0238007
+0.0245326
+0.025371
+0.0261065
+0.0247822
+0.0231054
+0.0214958
+0.0199308
+0.0184933
+0.017192
+0.0160718
+0.0151729
+0.0143096
+0.013611
+0.0131707
+0.0126494
+0.012392
+0.0121104
+0.0117506
+0.0117106
+0.0119671
+0.0125735
+0.0134736
+0.0146462
+0.0158743
+0.0170343
+0.0183618
+0.0198429
+0.0214459
+0.0231375
+0.0249032
+0.0267168
+0.0285823
+0.0304912
+0.0324112
+0.0343164
+0.0362431
+0.038193
+0.0401677
+0.0421638
+0.0441772
+0.046204
+0.0482452
+0.0502989
+0.0523637
+0.0544384
+0.0565218
+0.065306
+0.0649463
+0.0646484
+0.0644238
+0.064273
+0.0641967
+0.0641951
+0.0642682
+0.0644158
+0.0646374
+0.0649321
+0.065299
+0.0657361
+0.0662297
+0.0667915
+0.0674197
+0.0655017
+0.0635643
+0.0616437
+0.0597374
+0.0578512
+0.0559873
+0.0541478
+0.0523353
+0.0505528
+0.0488036
+0.0470913
+0.0454201
+0.0437948
+0.0422162
+0.040693
+0.0392256
+0.037785
+0.0364194
+0.0350893
+0.0338096
+0.0324649
+0.0311986
+0.0299952
+0.028908
+0.0279133
+0.0269977
+0.0261965
+0.0254482
+0.024871
+0.0244475
+0.0241709
+0.024076
+0.0241093
+0.0242707
+0.0244395
+0.0245333
+0.0247486
+0.0251187
+0.0256599
+0.0262987
+0.0270175
+0.0258713
+0.0242698
+0.0227292
+0.0212552
+0.0198942
+0.0186794
+0.0176539
+0.0168443
+0.0160661
+0.0154279
+0.0150244
+0.0146062
+0.0143826
+0.0142185
+0.0139026
+0.0138686
+0.0140859
+0.0146229
+0.0154037
+0.0164413
+0.0173142
+0.018393
+0.0196463
+0.0210372
+0.0225555
+0.0241771
+0.0258807
+0.0276303
+0.029438
+0.0312947
+0.0331402
+0.0349907
+0.0368767
+0.0387948
+0.0407404
+0.0427097
+0.0446996
+0.0467075
+0.0487311
+0.0507687
+0.0528179
+0.0548755
+0.056943
+0.0669525
+0.0665986
+0.0663082
+0.0660892
+0.0659423
+0.0658679
+0.0658663
+0.0659376
+0.0660815
+0.0662974
+0.0665848
+0.0669427
+0.06737
+0.0678547
+0.0684031
+0.0678787
+0.0659383
+0.0640141
+0.0621075
+0.0602203
+0.0583542
+0.0565115
+0.0546921
+0.0528983
+0.0511354
+0.0494068
+0.0477146
+0.0460608
+0.0444535
+0.0428979
+0.0413997
+0.0399655
+0.0385852
+0.0372255
+0.035923
+0.0347093
+0.0334201
+0.0322077
+0.0310435
+0.0299882
+0.0290384
+0.0281496
+0.0273625
+0.026647
+0.0260962
+0.0256957
+0.0254476
+0.0253504
+0.0253814
+0.0255347
+0.0256927
+0.0257124
+0.0259179
+0.0262718
+0.0267894
+0.027368
+0.0280664
+0.0270694
+0.0255377
+0.0240889
+0.0226979
+0.0214181
+0.0202947
+0.019355
+0.0186115
+0.0179058
+0.0173233
+0.0169587
+0.0166215
+0.0163912
+0.0162447
+0.0160651
+0.0160355
+0.0162238
+0.0166999
+0.0173956
+0.0181118
+0.0188989
+0.0198919
+0.021061
+0.0223641
+0.0237979
+0.0253401
+0.0269723
+0.028679
+0.0304276
+0.0321872
+0.0339738
+0.0357809
+0.0376274
+0.039509
+0.0414211
+0.0433595
+0.0453209
+0.0473024
+0.0493016
+0.0513165
+0.0533452
+0.0553863
+0.0574384
+0.0686294
+0.0682813
+0.0679981
+0.0677845
+0.0676413
+0.0675688
+0.0675673
+0.0676368
+0.067777
+0.0679876
+0.0682679
+0.068617
+0.0690339
+0.0695109
+0.0700463
+0.0683703
+0.0664443
+0.0645352
+0.0626445
+0.0607739
+0.0589254
+0.0571011
+0.0553034
+0.053535
+0.0517989
+0.0500896
+0.0484179
+0.0467889
+0.0452075
+0.0436787
+0.0422083
+0.0408026
+0.0394662
+0.0381375
+0.0368682
+0.0356867
+0.0344881
+0.0333153
+0.0322026
+0.0311744
+0.0302619
+0.0294133
+0.0286303
+0.0279472
+0.0274226
+0.0270364
+0.026819
+0.0267438
+0.0267716
+0.026917
+0.0269992
+0.0270179
+0.0272136
+0.0275508
+0.0280333
+0.0285656
+0.029242
+0.0283779
+0.0269207
+0.0255448
+0.0242435
+0.0230497
+0.0220098
+0.021141
+0.0204608
+0.0197968
+0.0192747
+0.0189489
+0.0186763
+0.0184306
+0.0182916
+0.0182343
+0.0182081
+0.0183742
+0.0187958
+0.0193478
+0.0198752
+0.020595
+0.0215099
+0.0225954
+0.0238146
+0.0251659
+0.0266291
+0.0281867
+0.0298239
+0.0315094
+0.033188
+0.0349234
+0.0366852
+0.0384883
+0.0403298
+0.0422046
+0.0441086
+0.0460381
+0.04799
+0.0499618
+0.051951
+0.0539559
+0.0559747
+0.058006
+0.0703345
+0.0699922
+0.0697159
+0.0695076
+0.0693679
+0.0692972
+0.0692957
+0.0693635
+0.0695002
+0.0697056
+0.069979
+0.0703196
+0.0707265
+0.0711959
+0.0708544
+0.0689281
+0.0670181
+0.0651258
+0.0632527
+0.0614007
+0.0595717
+0.0577678
+0.0559915
+0.0542456
+0.0525329
+0.0508501
+0.0492041
+0.0476021
+0.0460487
+0.0445487
+0.043108
+0.0417326
+0.0404292
+0.0391505
+0.0379166
+0.0367688
+0.0356483
+0.0345117
+0.0334538
+0.0324653
+0.0315901
+0.0307805
+0.0299998
+0.0293486
+0.0288495
+0.0284826
+0.0282764
+0.0282192
+0.0282381
+0.028376
+0.0284147
+0.0284326
+0.0286186
+0.0289394
+0.029357
+0.0298657
+0.0305234
+0.0297903
+0.0283852
+0.0270767
+0.0258824
+0.0247677
+0.0237996
+0.02299
+0.0223661
+0.0217391
+0.0212683
+0.020963
+0.020759
+0.0205013
+0.0203572
+0.0203552
+0.0203846
+0.0205331
+0.0208137
+0.0212288
+0.0216959
+0.0223686
+0.0232219
+0.0242308
+0.0253716
+0.0266441
+0.0280301
+0.0295139
+0.0310814
+0.0326783
+0.0342998
+0.0359775
+0.0376901
+0.03945
+0.0412506
+0.0430854
+0.0449521
+0.0468469
+0.0487664
+0.050708
+0.0526691
+0.0546476
+0.0566418
+0.05865
+0.0720642
+0.0717291
+0.0714595
+0.0712563
+0.0711201
+0.0710511
+0.0710497
+0.0711157
+0.0712491
+0.0714495
+0.0717162
+0.0720486
+0.0724458
+0.0729066
+0.0714599
+0.0695505
+0.067658
+0.0657841
+0.0639304
+0.0620985
+0.0602907
+0.058509
+0.0567559
+0.0550342
+0.0533469
+0.0516905
+0.0500722
+0.0484989
+0.0469751
+0.0455057
+0.0440963
+0.0427527
+0.0414813
+0.0402409
+0.0390386
+0.0379247
+0.0368875
+0.0357906
+0.0347737
+0.0338489
+0.0330104
+0.0322175
+0.0314599
+0.0308396
+0.030365
+0.0300192
+0.0298236
+0.0297694
+0.0297927
+0.0299235
+0.0299238
+0.0299407
+0.0301174
+0.0304225
+0.0307793
+0.0312648
+0.0318937
+0.031272
+0.029932
+0.0286941
+0.0275749
+0.0265422
+0.0256319
+0.0248817
+0.0243064
+0.0237247
+0.0232938
+0.0230073
+0.0228614
+0.0225945
+0.0224292
+0.0224242
+0.0224439
+0.0225378
+0.0227798
+0.0231405
+0.0235697
+0.0241904
+0.0249884
+0.0259463
+0.0270167
+0.028215
+0.0295274
+0.0309395
+0.0324381
+0.0339484
+0.0355119
+0.0371309
+0.0387926
+0.0405046
+0.0422609
+0.0440561
+0.0458848
+0.0477426
+0.0496275
+0.0515366
+0.0534673
+0.0554174
+0.0573848
+0.0593678
+0.0738174
+0.0734902
+0.0732272
+0.0730289
+0.0728959
+0.0728287
+0.0728273
+0.0728917
+0.0730219
+0.0732174
+0.0734777
+0.0738022
+0.0741899
+0.0740348
+0.072127
+0.0702356
+0.0683622
+0.0665081
+0.0646751
+0.062865
+0.0610798
+0.0593218
+0.0575935
+0.0558976
+0.0542372
+0.0526088
+0.0510197
+0.0494765
+0.0479837
+0.0465462
+0.0451693
+0.0438585
+0.0426171
+0.0414126
+0.0402466
+0.0391671
+0.0381829
+0.0371547
+0.0361762
+0.0353066
+0.0345114
+0.0337112
+0.0329879
+0.0323968
+0.0319454
+0.0316262
+0.0314406
+0.031396
+0.0314233
+0.0315472
+0.0315074
+0.0315235
+0.0316913
+0.0319682
+0.0322876
+0.0327508
+0.0333517
+0.0328242
+0.0315552
+0.0303835
+0.0293289
+0.0283663
+0.0275164
+0.0268189
+0.0262861
+0.0257436
+0.0253418
+0.0250742
+0.0249346
+0.0246862
+0.0245216
+0.024493
+0.0244842
+0.0245703
+0.0247836
+0.0250978
+0.025494
+0.026069
+0.0268111
+0.027707
+0.0287347
+0.0298641
+0.0311071
+0.0324504
+0.0338705
+0.0353017
+0.0368078
+0.0383748
+0.0399848
+0.0416479
+0.0433578
+0.0451094
+0.0468979
+0.0487192
+0.0505688
+0.0524437
+0.0543422
+0.0562619
+0.0582008
+0.060157
+0.0755934
+0.075274
+0.0750172
+0.0748236
+0.0746939
+0.0746282
+0.0746268
+0.0746898
+0.0748168
+0.0750076
+0.0752618
+0.0755786
+0.0759572
+0.0747431
+0.0728538
+0.0709819
+0.0691286
+0.0672957
+0.0654847
+0.0636976
+0.0619364
+0.0602035
+0.0585012
+0.0568324
+0.0552001
+0.053601
+0.0520422
+0.0505302
+0.0490695
+0.0476648
+0.046321
+0.0450438
+0.0438148
+0.0426442
+0.0415351
+0.04049
+0.0395388
+0.0385951
+0.037654
+0.0368194
+0.0360536
+0.0352777
+0.0345872
+0.0340239
+0.0335944
+0.0332856
+0.0331092
+0.033073
+0.0331147
+0.0332324
+0.0331375
+0.0331528
+0.0333124
+0.0335662
+0.0338706
+0.0343123
+0.0348864
+0.0344459
+0.0332403
+0.0321301
+0.0311346
+0.0302391
+0.0294433
+0.0287925
+0.0282968
+0.0277885
+0.0274104
+0.0271558
+0.0270254
+0.0267833
+0.0266297
+0.0265814
+0.0265485
+0.0266237
+0.0268166
+0.0270908
+0.0274583
+0.027993
+0.0286854
+0.0295244
+0.0304981
+0.031578
+0.0327559
+0.0340343
+0.0353536
+0.0367271
+0.038177
+0.0396949
+0.041259
+0.0428727
+0.0445356
+0.0462426
+0.0479889
+0.0497703
+0.0515833
+0.0534238
+0.0552887
+0.0571767
+0.0590855
+0.0610133
+0.0773907
+0.0770787
+0.0768279
+0.0766389
+0.0765123
+0.0764482
+0.0764468
+0.0765083
+0.0766323
+0.0768186
+0.0770667
+0.0773762
+0.0773948
+0.0755083
+0.0736387
+0.0717872
+0.0699553
+0.0681446
+0.0663568
+0.0645938
+0.0628577
+0.0611509
+0.0594757
+0.0578351
+0.0562319
+0.054663
+0.0531353
+0.0516554
+0.0502274
+0.0488559
+0.0475459
+0.0462997
+0.0450872
+0.0439505
+0.0428921
+0.0418858
+0.0409669
+0.0401016
+0.0391986
+0.0383975
+0.0376489
+0.0369078
+0.0362483
+0.0357113
+0.0353023
+0.0350034
+0.0348358
+0.0348014
+0.0348607
+0.0349521
+0.0348291
+0.0348437
+0.0349956
+0.0352204
+0.0355106
+0.0359322
+0.0364808
+0.0361276
+0.03498
+0.0339268
+0.0329856
+0.032152
+0.0314047
+0.0307955
+0.0303326
+0.0298541
+0.0294967
+0.0292533
+0.0291308
+0.0288942
+0.0287502
+0.028685
+0.0286145
+0.0286679
+0.0288727
+0.0291123
+0.0294546
+0.0299536
+0.0306017
+0.0313896
+0.032307
+0.0333432
+0.0344629
+0.0356753
+0.0369071
+0.0382249
+0.03962
+0.0410846
+0.0426078
+0.0441722
+0.045788
+0.0474499
+0.0491533
+0.050894
+0.0526683
+0.0544722
+0.0563024
+0.0581574
+0.0600351
+0.0619334
+0.0792078
+0.078903
+0.078658
+0.0784734
+0.0783497
+0.0782871
+0.0782858
+0.0783458
+0.0784669
+0.0786489
+0.0788913
+0.0791936
+0.0781955
+0.0763288
+0.0744797
+0.0726497
+0.0708401
+0.0690526
+0.0672889
+0.065551
+0.063841
+0.0621611
+0.0605139
+0.0589022
+0.0573287
+0.0557888
+0.0542928
+0.0528452
+0.0514503
+0.0501123
+0.048836
+0.0476065
+0.0464281
+0.0453251
+0.0442995
+0.0433456
+0.0424584
+0.0416259
+0.0408008
+0.0400316
+0.0393017
+0.0385934
+0.0379633
+0.0374508
+0.0370599
+0.0367716
+0.036612
+0.0365794
+0.0366545
+0.036691
+0.0365738
+0.0365876
+0.0367324
+0.0369134
+0.0371984
+0.0376011
+0.0381256
+0.0378615
+0.0367636
+0.0357629
+0.0348714
+0.0340974
+0.0333947
+0.0328224
+0.0323885
+0.0319364
+0.0315971
+0.0313635
+0.031248
+0.0310161
+0.0308625
+0.0307791
+0.0306911
+0.0307323
+0.0309269
+0.0311567
+0.0314767
+0.0319442
+0.0325526
+0.0332944
+0.0341607
+0.0351425
+0.036222
+0.0373442
+0.0385227
+0.039787
+0.0411292
+0.0425419
+0.0440183
+0.0455401
+0.047109
+0.0487259
+0.0503862
+0.0520857
+0.0538207
+0.0555872
+0.0573818
+0.0592031
+0.0610486
+0.0629163
+0.0810433
+0.0807454
+0.0805061
+0.0803258
+0.0802049
+0.0801438
+0.0801425
+0.0802011
+0.0803194
+0.0804972
+0.080734
+0.080912
+0.0790488
+0.0772027
+0.0753751
+0.0735673
+0.0717808
+0.0700174
+0.0682786
+0.0665666
+0.0648833
+0.0632311
+0.0616126
+0.0600277
+0.058476
+0.0569664
+0.0555021
+0.054087
+0.0527249
+0.0514201
+0.0501771
+0.0489765
+0.0478318
+0.0467619
+0.0457686
+0.0448562
+0.0440019
+0.0432075
+0.0424413
+0.0417022
+0.0410015
+0.0403199
+0.039725
+0.0392356
+0.0388582
+0.0385831
+0.0384311
+0.0384001
+0.0384734
+0.038476
+0.0383642
+0.0383774
+0.0384902
+0.0386559
+0.0389363
+0.0393212
+0.0398231
+0.0396382
+0.0385877
+0.0376356
+0.0367894
+0.0360567
+0.0354085
+0.0348692
+0.0344611
+0.0340323
+0.0337089
+0.0334841
+0.0333747
+0.0331471
+0.0329841
+0.0328624
+0.0327765
+0.032813
+0.0329953
+0.0332197
+0.0335201
+0.0339594
+0.0345324
+0.0352325
+0.0360523
+0.0369838
+0.038019
+0.0390647
+0.0401928
+0.0414061
+0.0426974
+0.0440598
+0.045487
+0.0469703
+0.048493
+0.0500652
+0.0516825
+0.0533407
+0.0550362
+0.0567649
+0.0585234
+0.0603102
+0.0621228
+0.0639592
+0.0828961
+0.0826049
+0.082371
+0.0821947
+0.0820766
+0.0820169
+0.0820156
+0.0820729
+0.0821885
+0.0823623
+0.0825938
+0.0817956
+0.079953
+0.0781283
+0.0763228
+0.074538
+0.0727754
+0.0710366
+0.0693234
+0.0676378
+0.0659819
+0.064358
+0.0627629
+0.0612021
+0.059681
+0.0582026
+0.0567702
+0.0553875
+0.0540582
+0.0527864
+0.0515747
+0.0503968
+0.0492852
+0.0482475
+0.0472885
+0.0463993
+0.0455903
+0.044834
+0.0441292
+0.0434189
+0.0427405
+0.042087
+0.0415266
+0.0410597
+0.0406948
+0.0404322
+0.0402872
+0.0402576
+0.0403275
+0.040301
+0.0401943
+0.0402069
+0.0402837
+0.0404421
+0.0407179
+0.0410861
+0.0415667
+0.0414515
+0.0404482
+0.0395409
+0.0387364
+0.0380412
+0.037442
+0.0369325
+0.0365474
+0.0361373
+0.0358303
+0.0356132
+0.0355092
+0.0352853
+0.0351142
+0.0349542
+0.0348729
+0.0349072
+0.0350756
+0.0352817
+0.0355809
+0.0359951
+0.0365362
+0.0371986
+0.037976
+0.0388614
+0.0398347
+0.0408241
+0.0419048
+0.04307
+0.0443128
+0.045627
+0.0470066
+0.0484461
+0.0499348
+0.051463
+0.0530377
+0.0546548
+0.0563107
+0.0580015
+0.0597235
+0.0614754
+0.0632547
+0.0650591
+0.084765
+0.0844803
+0.0842515
+0.0840793
+0.0839638
+0.0839054
+0.0839042
+0.0839602
+0.0840732
+0.084243
+0.0844694
+0.0827278
+0.0809064
+0.0791037
+0.077321
+0.0755598
+0.0738216
+0.072108
+0.0704209
+0.0687622
+0.0671334
+0.0655304
+0.0639621
+0.0624314
+0.0609409
+0.0594939
+0.0580933
+0.0567429
+0.0554461
+0.0542061
+0.0530153
+0.0518673
+0.0507879
+0.0497815
+0.0488506
+0.0479848
+0.0472045
+0.0464973
+0.0458499
+0.0451766
+0.0445194
+0.0438924
+0.0433553
+0.0429181
+0.0425649
+0.0423139
+0.0421753
+0.0421472
+0.042214
+0.0421609
+0.0420589
+0.042071
+0.0421148
+0.0422663
+0.0425303
+0.0428903
+0.0433509
+0.0432933
+0.0423337
+0.0414677
+0.0407013
+0.0400402
+0.0394771
+0.0390097
+0.038644
+0.0382495
+0.0379595
+0.0377493
+0.0376501
+0.0374296
+0.0372513
+0.0370574
+0.0369802
+0.0370126
+0.0371545
+0.0373511
+0.0376564
+0.038048
+0.0385603
+0.0391885
+0.0399272
+0.0407703
+0.0416732
+0.0426199
+0.0436562
+0.0447758
+0.0459725
+0.0472406
+0.0485744
+0.0499687
+0.0514186
+0.0529145
+0.0544473
+0.0560237
+0.0576403
+0.0592932
+0.0609788
+0.0626956
+0.0644412
+0.0662133
+0.0866491
+0.0863705
+0.0861468
+0.0859783
+0.0858654
+0.0858083
+0.0858071
+0.0858618
+0.0859723
+0.0861385
+0.0855249
+0.083707
+0.0819073
+0.0801271
+0.0783678
+0.0766306
+0.0749173
+0.0732293
+0.0715687
+0.0699339
+0.0683263
+0.0667518
+0.065213
+0.0637123
+0.0622525
+0.0608366
+0.0594677
+0.0581492
+0.0568844
+0.0556723
+0.0545032
+0.0533872
+0.0523392
+0.0513632
+0.0504543
+0.0496164
+0.0488621
+0.0481957
+0.0475851
+0.0469676
+0.0463336
+0.0457315
+0.0452163
+0.0447987
+0.0444643
+0.0442241
+0.0440915
+0.0440619
+0.0441258
+0.0440512
+0.0439536
+0.0439426
+0.0439788
+0.0441239
+0.0443768
+0.0447291
+0.0451709
+0.0451658
+0.0442468
+0.043419
+0.0426876
+0.0420576
+0.0415116
+0.0410753
+0.040747
+0.04037
+0.040087
+0.0398844
+0.0397851
+0.039564
+0.0393602
+0.0391702
+0.0390967
+0.0391274
+0.0392455
+0.0394337
+0.0397338
+0.0401156
+0.0406017
+0.0411988
+0.0419021
+0.0427062
+0.0435442
+0.0444512
+0.0454457
+0.0465223
+0.0476752
+0.0488991
+0.0501889
+0.0515395
+0.0529464
+0.0544051
+0.0559072
+0.0574436
+0.0590213
+0.0606365
+0.0622858
+0.0639676
+0.0656794
+0.0674189
+0.0885472
+0.0882746
+0.0880557
+0.0878909
+0.0877804
+0.0877246
+0.0877234
+0.087777
+0.0878851
+0.0880476
+0.0865238
+0.0847315
+0.0829541
+0.0811968
+0.0794611
+0.0777484
+0.0760602
+0.0743983
+0.0727584
+0.0711472
+0.0695676
+0.0680219
+0.0665124
+0.0650417
+0.0636124
+0.0622275
+0.0608899
+0.0596028
+0.0583657
+0.0571849
+0.0560373
+0.0549525
+0.0539348
+0.0529845
+0.0521007
+0.0512896
+0.0505603
+0.0499166
+0.0493541
+0.0487892
+0.048179
+0.0476003
+0.0471055
+0.0467049
+0.0463894
+0.0461592
+0.0460322
+0.0459986
+0.0460599
+0.0459681
+0.0458747
+0.045837
+0.0458717
+0.0460108
+0.0462534
+0.0465979
+0.0470225
+0.0470658
+0.0461846
+0.0453921
+0.044693
+0.0440819
+0.0435613
+0.0431457
+0.0428339
+0.0424976
+0.0422066
+0.0420141
+0.0419165
+0.0417033
+0.0414714
+0.041291
+0.041221
+0.0412501
+0.0413468
+0.041525
+0.0418092
+0.0421955
+0.042658
+0.0432267
+0.0438974
+0.044642
+0.0454425
+0.0463137
+0.047269
+0.0483049
+0.0494163
+0.0505981
+0.0518456
+0.0531542
+0.0545194
+0.0559371
+0.0574034
+0.0589107
+0.0604502
+0.0620282
+0.0636414
+0.0652883
+0.0669663
+0.0686732
+0.0904585
+0.0901917
+0.0899775
+0.0898162
+0.0897081
+0.0896535
+0.0896523
+0.0897047
+0.0898105
+0.0893136
+0.0875456
+0.0857971
+0.0840449
+0.0823109
+0.0805992
+0.0789112
+0.077247
+0.0756044
+0.0739903
+0.0724064
+0.0708549
+0.0693379
+0.0678577
+0.0664168
+0.0650178
+0.0636634
+0.0623566
+0.0610974
+0.0598867
+0.0587254
+0.0576138
+0.0565592
+0.055571
+0.0546426
+0.053786
+0.0530006
+0.0522952
+0.0516731
+0.0511373
+0.0506399
+0.0500524
+0.0494956
+0.0490199
+0.0486351
+0.0483371
+0.0481162
+0.0479944
+0.0479572
+0.0480159
+0.0479086
+0.0478189
+0.0477567
+0.0477901
+0.0479236
+0.0481566
+0.0484875
+0.0489022
+0.0489901
+0.0481441
+0.0473844
+0.0467138
+0.0461214
+0.045624
+0.0452274
+0.0449306
+0.0446231
+0.044333
+0.0441492
+0.0440537
+0.0438476
+0.0435904
+0.0434189
+0.0433518
+0.0433795
+0.0434567
+0.0436213
+0.0438918
+0.0442693
+0.0447221
+0.0452649
+0.0459059
+0.0465978
+0.0473653
+0.0482037
+0.0491224
+0.05012
+0.0511919
+0.0523337
+0.0535408
+0.0548089
+0.0561339
+0.0575118
+0.0589389
+0.0604118
+0.0619236
+0.063465
+0.0650426
+0.0666548
+0.0682993
+0.0699737
+0.0923822
+0.092121
+0.0919113
+0.0917534
+0.0916476
+0.0915941
+0.091593
+0.0916443
+0.0917478
+0.0903569
+0.0886098
+0.0868827
+0.085177
+0.0834617
+0.0817681
+0.0800985
+0.0784546
+0.076838
+0.0752504
+0.0736938
+0.07217
+0.0706814
+0.0692301
+0.0678185
+0.0664491
+0.0651246
+0.0638479
+0.062611
+0.061423
+0.0602913
+0.0592191
+0.0582007
+0.0572392
+0.056337
+0.0555065
+0.0547458
+0.0540631
+0.0534616
+0.052944
+0.0525013
+0.0519506
+0.0514143
+0.0509566
+0.0505864
+0.0503048
+0.0500926
+0.0499748
+0.0499351
+0.0499915
+0.0498658
+0.0497633
+0.0496989
+0.0497309
+0.0498593
+0.0500832
+0.0504015
+0.0508067
+0.0509358
+0.0501227
+0.0493931
+0.0487425
+0.0481742
+0.0476982
+0.047319
+0.0470335
+0.0467423
+0.0464654
+0.0462875
+0.0461959
+0.045975
+0.0457162
+0.0455527
+0.0454884
+0.0455043
+0.0455718
+0.0457263
+0.0459845
+0.0463449
+0.0467868
+0.0473059
+0.0479196
+0.0485737
+0.0493104
+0.0501183
+0.0510025
+0.051964
+0.0529987
+0.0541023
+0.0552708
+0.0565001
+0.0577863
+0.0591257
+0.0605148
+0.0619502
+0.0634289
+0.0649439
+0.0664864
+0.0680644
+0.0696757
+0.0713178
+0.0885966
+0.0866481
+0.0847116
+0.0827876
+0.0808719
+0.0789699
+0.0770832
+0.075213
+0.0733605
+0.0715265
+0.0697069
+0.0679092
+0.0661352
+0.0643868
+0.0626663
+0.0609759
+0.0593183
+0.0576826
+0.0560825
+0.0545234
+0.053009
+0.0515432
+0.0501303
+0.048775
+0.047482
+0.0462568
+0.0451047
+0.0440242
+0.0430138
+0.0420934
+0.0412688
+0.0405459
+0.0399303
+0.0394269
+0.0390402
+0.0387735
+0.0386295
+0.0386094
+0.0387134
+0.0389406
+0.0392862
+0.039729
+0.0402861
+0.040953
+0.0417244
+0.0425946
+0.0435577
+0.0446077
+0.0457386
+0.0469445
+0.0482199
+0.0495593
+0.0508401
+0.0521183
+0.0534557
+0.054848
+0.0562912
+0.0577814
+0.0593151
+0.060889
+0.0623199
+0.0637082
+0.0651406
+0.0665881
+0.0680684
+0.0695798
+0.0711248
+0.072703
+0.0742949
+0.0758668
+0.0774626
+0.0790864
+0.0807265
+0.0809353
+0.0808258
+0.0807756
+0.0807848
+0.0808533
+0.0809723
+0.0811476
+0.0813815
+0.0816736
+0.0820207
+0.0824158
+0.0828669
+0.0833731
+0.0839335
+0.0845469
+0.0852123
+0.0859094
+0.0866537
+0.087441
+0.0882706
+0.0891462
+0.0900667
+0.0910306
+0.0920365
+0.0930832
+0.0941531
+0.0952572
+0.0876344
+0.0856641
+0.0837048
+0.0817572
+0.0798222
+0.0779003
+0.075987
+0.0740891
+0.0722078
+0.0703444
+0.0685004
+0.0666733
+0.0648655
+0.063082
+0.0613248
+0.0595964
+0.0578993
+0.0562363
+0.0546007
+0.0529981
+0.0514388
+0.0499269
+0.048467
+0.0470637
+0.0457224
+0.0444487
+0.0432484
+0.042128
+0.0410761
+0.0401112
+0.039245
+0.0384841
+0.037835
+0.0373033
+0.0368943
+0.0366121
+0.0364595
+0.0364382
+0.0365484
+0.036789
+0.037147
+0.037615
+0.038203
+0.0389056
+0.0397168
+0.04063
+0.0416386
+0.0427358
+0.0439149
+0.0451695
+0.0464936
+0.0477976
+0.0490587
+0.0503821
+0.0517644
+0.053201
+0.0546877
+0.0562204
+0.0577955
+0.0592746
+0.0606535
+0.0620791
+0.0635265
+0.0650026
+0.0665119
+0.0680561
+0.0696349
+0.0712356
+0.0728083
+0.074405
+0.07603
+0.0776723
+0.0793409
+0.0795168
+0.0794053
+0.0793542
+0.0793636
+0.0794334
+0.0795634
+0.0797471
+0.0799851
+0.0802822
+0.0806369
+0.0810388
+0.0814975
+0.0820122
+0.0825818
+0.0832052
+0.0838812
+0.0845988
+0.0853545
+0.0861539
+0.0869957
+0.0878841
+0.0888176
+0.0897949
+0.0908104
+0.09185
+0.0929297
+0.094048
+0.0867169
+0.0847253
+0.0827437
+0.080773
+0.0788138
+0.0768672
+0.074934
+0.0730138
+0.071104
+0.0692109
+0.0673358
+0.0654804
+0.0636458
+0.0618272
+0.0600334
+0.0582667
+0.0565297
+0.0548251
+0.0531563
+0.0515207
+0.0499153
+0.0483559
+0.046847
+0.0453937
+0.0440015
+0.0426764
+0.0414249
+0.0402537
+0.0391651
+0.0381518
+0.0372401
+0.0364374
+0.0357511
+0.035188
+0.0347541
+0.0344543
+0.0342921
+0.0342694
+0.0343866
+0.0346422
+0.0350142
+0.0355103
+0.0361325
+0.0368746
+0.0377295
+0.0386897
+0.0397475
+0.0408955
+0.0421261
+0.0434325
+0.0447476
+0.0460043
+0.0473117
+0.0486826
+0.0501118
+0.0515944
+0.0531261
+0.0547026
+0.0562351
+0.0576035
+0.0590214
+0.0604686
+0.0619401
+0.0634469
+0.0649901
+0.0665695
+0.0681799
+0.0697527
+0.0713504
+0.0729768
+0.0746217
+0.0762941
+0.0779921
+0.0780886
+0.0779989
+0.0779627
+0.0779722
+0.0780433
+0.0781756
+0.0783691
+0.0786209
+0.0789232
+0.0792848
+0.0796966
+0.080163
+0.0806862
+0.0812651
+0.0818985
+0.0825852
+0.0833239
+0.0840922
+0.0849038
+0.0857579
+0.086659
+0.0876056
+0.0885827
+0.0895946
+0.0906482
+0.091742
+0.0928735
+0.0858456
+0.0838333
+0.0818301
+0.0798368
+0.0778541
+0.0758828
+0.0739239
+0.0719783
+0.0700472
+0.0681289
+0.0662232
+0.0643357
+0.062468
+0.0606218
+0.0587952
+0.0569901
+0.055213
+0.0534665
+0.0517538
+0.0500784
+0.0484431
+0.0468346
+0.0452751
+0.0437696
+0.0423241
+0.0409447
+0.0396385
+0.0384129
+0.0372759
+0.036219
+0.0352573
+0.0344083
+0.0336807
+0.0330824
+0.0326205
+0.0323009
+0.0321279
+0.0321037
+0.0322288
+0.0325008
+0.032889
+0.0334166
+0.0340771
+0.034863
+0.035766
+0.0367775
+0.0378888
+0.0390913
+0.040377
+0.0417047
+0.0429562
+0.0442452
+0.045603
+0.0470238
+0.0485018
+0.0500322
+0.0516102
+0.0532024
+0.0545589
+0.0559682
+0.057415
+0.0588813
+0.0603854
+0.0619273
+0.0635073
+0.0651228
+0.0667009
+0.0682998
+0.0699273
+0.0715752
+0.0732516
+0.0749545
+0.0766823
+0.0766923
+0.0766009
+0.0765722
+0.0766061
+0.0766905
+0.0768253
+0.0770221
+0.0772805
+0.0775943
+0.0779621
+0.0783894
+0.0788667
+0.0793984
+0.0799867
+0.0806302
+0.0813276
+0.0820775
+0.0828687
+0.0836924
+0.0845587
+0.0854714
+0.0864087
+0.0873909
+0.0884165
+0.089484
+0.0905892
+0.0917267
+0.0850218
+0.0829895
+0.0809654
+0.0789503
+0.0769447
+0.0749495
+0.0729656
+0.0709938
+0.0690351
+0.0670909
+0.0651623
+0.0632463
+0.0613453
+0.0594644
+0.0576053
+0.05577
+0.0539531
+0.0521645
+0.0504076
+0.0486859
+0.0470033
+0.0453628
+0.0437564
+0.0421968
+0.0406954
+0.0392589
+0.0378946
+0.0366107
+0.0354159
+0.0343172
+0.0333006
+0.0324004
+0.0316266
+0.0309887
+0.0304951
+0.030153
+0.0299675
+0.0299416
+0.0300756
+0.0303577
+0.030773
+0.0313362
+0.0320397
+0.0328743
+0.0338304
+0.0348981
+0.0360673
+0.0373285
+0.0386705
+0.0399106
+0.0411834
+0.0425261
+0.0439371
+0.04541
+0.0469389
+0.0485186
+0.0501443
+0.0515206
+0.0529202
+0.0543664
+0.0558269
+0.0573277
+0.0588682
+0.0604488
+0.0620665
+0.0636536
+0.0652536
+0.0668822
+0.0685333
+0.070214
+0.0719222
+0.0736558
+0.0754133
+0.0753337
+0.0752407
+0.0752115
+0.075246
+0.0753442
+0.0755059
+0.0757145
+0.0759774
+0.0763023
+0.0766791
+0.0771135
+0.0776074
+0.0781509
+0.0787485
+0.079402
+0.0801101
+0.0808714
+0.0816843
+0.0825213
+0.083389
+0.0842926
+0.0852429
+0.0862383
+0.0872775
+0.0883543
+0.0894667
+0.0906183
+0.0842469
+0.0821954
+0.0801513
+0.0781152
+0.0760876
+0.0740693
+0.0720611
+0.0700639
+0.0680785
+0.0661061
+0.0641479
+0.0622052
+0.0602795
+0.0583662
+0.056471
+0.0545979
+0.0527493
+0.0509235
+0.0491222
+0.0473538
+0.0456221
+0.0439313
+0.0422828
+0.0406812
+0.0391217
+0.0376251
+0.0361993
+0.034853
+0.0335957
+0.0324378
+0.0313748
+0.0304177
+0.0295921
+0.0289093
+0.0283795
+0.0280116
+0.0278119
+0.0277839
+0.0279284
+0.028222
+0.0286682
+0.029272
+0.0300238
+0.0309129
+0.0319278
+0.033057
+0.034289
+0.0356133
+0.036859
+0.0381274
+0.0394526
+0.0408522
+0.0423191
+0.0438464
+0.045428
+0.0470584
+0.04849
+0.0498784
+0.0513227
+0.0527775
+0.0542747
+0.0558134
+0.0573945
+0.0590146
+0.0606115
+0.0622126
+0.0638422
+0.0654967
+0.0671819
+0.0688956
+0.0706356
+0.0723994
+0.0740708
+0.0739616
+0.0739172
+0.0738907
+0.0739258
+0.0740258
+0.0741903
+0.0744191
+0.0747112
+0.0750461
+0.0754359
+0.0758781
+0.0763804
+0.076939
+0.0775462
+0.07821
+0.0789291
+0.0797019
+0.080527
+0.0813713
+0.0822387
+0.0831547
+0.0841179
+0.0851265
+0.086173
+0.0872581
+0.0883842
+0.0895497
+0.0835222
+0.0814525
+0.0793893
+0.0773331
+0.0752845
+0.0732441
+0.0712126
+0.0691909
+0.0671797
+0.0651801
+0.0631932
+0.0612202
+0.0592625
+0.0573217
+0.0553995
+0.0534896
+0.0516012
+0.0497377
+0.0479018
+0.0460874
+0.0443062
+0.0425632
+0.0408633
+0.0392058
+0.0376017
+0.0360505
+0.0345598
+0.0331469
+0.0318223
+0.0305973
+0.0294844
+0.0284654
+0.0275815
+0.0268476
+0.0262763
+0.0258785
+0.0256622
+0.0256319
+0.0257884
+0.0260953
+0.0265773
+0.0272275
+0.0280342
+0.0289844
+0.0300645
+0.031261
+0.0325611
+0.0338158
+0.0350789
+0.0363831
+0.0377695
+0.0392293
+0.0407546
+0.0423383
+0.0439742
+0.0454684
+0.0468439
+0.0482796
+0.0497342
+0.051227
+0.0527637
+0.0543452
+0.0559679
+0.0575753
+0.0591775
+0.0608081
+0.0624662
+0.0641562
+0.0658757
+0.0676224
+0.0693902
+0.0711773
+0.0726417
+0.0725431
+0.0725106
+0.0725442
+0.0726439
+0.0727494
+0.0729169
+0.0731496
+0.0734389
+0.0737876
+0.0741993
+0.0746662
+0.0751855
+0.075756
+0.0763816
+0.0770555
+0.0777852
+0.0785693
+0.0794061
+0.0802519
+0.0811312
+0.0820596
+0.0830355
+0.0840492
+0.085105
+0.0862036
+0.0873433
+0.0885225
+0.0828412
+0.0807581
+0.0786805
+0.0766057
+0.0745371
+0.0724757
+0.0704221
+0.068377
+0.0663411
+0.0643155
+0.062301
+0.0602988
+0.0583102
+0.0563366
+0.0543795
+0.052441
+0.0505221
+0.0486173
+0.0467375
+0.0448833
+0.0430589
+0.0412661
+0.0395104
+0.0377988
+0.0361323
+0.0345245
+0.0329838
+0.0315009
+0.0301039
+0.0288059
+0.0276209
+0.0265505
+0.0256005
+0.024808
+0.0241887
+0.0237559
+0.02352
+0.023487
+0.0236488
+0.0239802
+0.0245038
+0.0252075
+0.0260768
+0.0270958
+0.0282481
+0.0295184
+0.0307835
+0.0320293
+0.0333191
+0.0346895
+0.0361409
+0.0376639
+0.0392501
+0.0408921
+0.0424578
+0.0438183
+0.045244
+0.046698
+0.0481858
+0.0497199
+0.0513018
+0.052927
+0.0545461
+0.0561492
+0.0577808
+0.0594426
+0.0611376
+0.0628634
+0.0646172
+0.066389
+0.0681844
+0.0700023
+0.0712441
+0.0711435
+0.0711104
+0.0711447
+0.0712464
+0.0714151
+0.0716505
+0.0719212
+0.0722108
+0.0725653
+0.0729839
+0.0734655
+0.0740075
+0.0745988
+0.0752492
+0.0759465
+0.0766868
+0.077482
+0.0783304
+0.0791772
+0.0800684
+0.081009
+0.0819875
+0.0830118
+0.0840806
+0.0851924
+0.0863454
+0.0875381
+0.0822092
+0.0801096
+0.078015
+0.0759258
+0.0738425
+0.0717654
+0.0696914
+0.0676242
+0.065565
+0.0635146
+0.0614739
+0.0594439
+0.0574257
+0.0554205
+0.05343
+0.0514557
+0.0494996
+0.047564
+0.0456486
+0.0437483
+0.0418745
+0.0400328
+0.038228
+0.0364653
+0.0347391
+0.0330635
+0.0314513
+0.0299128
+0.0284504
+0.0270733
+0.0258089
+0.0246746
+0.0236536
+0.0227936
+0.0221179
+0.0216437
+0.0213846
+0.0213483
+0.0215162
+0.02188
+0.0224526
+0.0232186
+0.0241595
+0.025256
+0.0264885
+0.0277658
+0.0289758
+0.0302619
+0.0316131
+0.0330544
+0.0345745
+0.0361635
+0.0378127
+0.0394609
+0.0408037
+0.0422175
+0.0436706
+0.0451523
+0.0466833
+0.0482653
+0.0498932
+0.0515251
+0.053129
+0.0547614
+0.056427
+0.0581275
+0.0598598
+0.0616181
+0.0633971
+0.0652013
+0.0670285
+0.0688769
+0.0698872
+0.0697847
+0.0697509
+0.0697859
+0.0698895
+0.0700616
+0.0703015
+0.0706086
+0.070982
+0.0713876
+0.0718148
+0.0723042
+0.0728562
+0.0734694
+0.0741339
+0.07485
+0.075613
+0.0764312
+0.0772981
+0.0781492
+0.0790508
+0.0799927
+0.0809829
+0.0820197
+0.0831013
+0.084226
+0.0853921
+0.0865979
+0.0816311
+0.0795163
+0.0774056
+0.0752995
+0.0731984
+0.0711027
+0.0690129
+0.0669295
+0.064853
+0.0627801
+0.0607147
+0.0586584
+0.0566121
+0.0545771
+0.0525546
+0.0505462
+0.0485535
+0.0465785
+0.0446238
+0.0426919
+0.0407734
+0.0388796
+0.0370186
+0.0351956
+0.0334168
+0.0316867
+0.0300007
+0.0283836
+0.026848
+0.0254087
+0.02406
+0.0228389
+0.0217469
+0.0208082
+0.0200657
+0.0195419
+0.0192545
+0.0192141
+0.0193941
+0.0197969
+0.020428
+0.021267
+0.0222905
+0.0234744
+0.024768
+0.0259328
+0.027214
+0.0285413
+0.0299702
+0.0314868
+0.033079
+0.0347365
+0.0363941
+0.0378025
+0.0392021
+0.0406479
+0.0421282
+0.0436554
+0.0452371
+0.0468679
+0.0485138
+0.0501183
+0.0517513
+0.053421
+0.0551271
+0.0568665
+0.0586283
+0.060416
+0.0622294
+0.0640665
+0.0659251
+0.0678036
+0.0685541
+0.0684632
+0.0684345
+0.0684702
+0.0685758
+0.0687512
+0.0689956
+0.0693085
+0.0696889
+0.0701344
+0.0706332
+0.0711853
+0.0717519
+0.0723744
+0.0730574
+0.0737928
+0.0745711
+0.0754038
+0.0762873
+0.0771668
+0.0780699
+0.0790235
+0.0800257
+0.0810747
+0.0821688
+0.083306
+0.0844849
+0.0855833
+0.0811081
+0.0789792
+0.0768538
+0.0747322
+0.0726147
+0.0705016
+0.0683934
+0.0662906
+0.0641937
+0.0621032
+0.0600199
+0.0579427
+0.0558726
+0.0538097
+0.0517572
+0.0497166
+0.0476892
+0.045677
+0.0436818
+0.0417064
+0.0397497
+0.0378151
+0.0359023
+0.0340195
+0.0321757
+0.0303781
+0.0286352
+0.0269459
+0.0253233
+0.0237919
+0.0223705
+0.0210712
+0.0198987
+0.0188683
+0.0180462
+0.0174619
+0.0171396
+0.0170943
+0.0172755
+0.0177265
+0.0184286
+0.0193545
+0.0204738
+0.0217186
+0.0229046
+0.0241594
+0.025476
+0.0268893
+0.0284014
+0.0299974
+0.0316646
+0.0333272
+0.0348183
+0.0362008
+0.0376359
+0.0391151
+0.040638
+0.0422191
+0.0438527
+0.0455142
+0.0471187
+0.0487523
+0.050426
+0.0521381
+0.0538827
+0.0556504
+0.0574472
+0.0592705
+0.061118
+0.0629874
+0.064877
+0.0667849
+0.0672576
+0.0671649
+0.0671436
+0.0671937
+0.0673078
+0.0674865
+0.0677355
+0.0680542
+0.0684415
+0.0688906
+0.0693984
+0.069971
+0.070607
+0.0713046
+0.0720153
+0.0727676
+0.0735704
+0.0744156
+0.075315
+0.0762246
+0.0771388
+0.0781037
+0.079089
+0.0800809
+0.0811083
+0.0821812
+0.083295
+0.0843219
+0.0806312
+0.078496
+0.0763609
+0.0742252
+0.0720928
+0.069964
+0.0678391
+0.0657185
+0.0636027
+0.0614922
+0.0593874
+0.0572874
+0.0551927
+0.0531057
+0.0510275
+0.048959
+0.0469017
+0.044857
+0.0428267
+0.040813
+0.038812
+0.0368285
+0.0348698
+0.0329404
+0.0310398
+0.0291722
+0.0273526
+0.0255913
+0.0238968
+0.0222734
+0.0207482
+0.0193513
+0.018112
+0.0169896
+0.0160716
+0.0154126
+0.0150465
+0.014972
+0.0151773
+0.0156887
+0.0164779
+0.017503
+0.0186836
+0.0198979
+0.0211042
+0.0224196
+0.0238128
+0.0253191
+0.0269196
+0.0285956
+0.0302667
+0.0318411
+0.0332172
+0.034639
+0.0361082
+0.0376337
+0.0392136
+0.0408499
+0.0425287
+0.0441323
+0.0457664
+0.0474444
+0.0491627
+0.05091
+0.0526863
+0.0544928
+0.0563265
+0.058185
+0.0600658
+0.061967
+0.0638868
+0.0658235
+0.0660083
+0.0659138
+0.0658921
+0.0659432
+0.066067
+0.066263
+0.0665236
+0.0668481
+0.0672424
+0.0676949
+0.0682115
+0.0687941
+0.0694408
+0.0701501
+0.0709199
+0.0717484
+0.0725909
+0.0734681
+0.0743849
+0.0751838
+0.0760346
+0.076929
+0.0778747
+0.07887
+0.0799129
+0.0810017
+0.0820429
+0.0830538
+0.0801866
+0.0780393
+0.0758944
+0.0737522
+0.071613
+0.0694769
+0.0673406
+0.0652072
+0.0630778
+0.0609527
+0.0588298
+0.0567091
+0.0545922
+0.0524814
+0.0503774
+0.0482811
+0.0461936
+0.0441161
+0.0420501
+0.0399973
+0.03796
+0.0359407
+0.0339388
+0.0319531
+0.0299961
+0.0280736
+0.0261899
+0.0243455
+0.0225621
+0.0208548
+0.0192326
+0.0177234
+0.0163613
+0.0151735
+0.0141604
+0.0134078
+0.0129853
+0.0128668
+0.0131051
+0.0136942
+0.0145783
+0.0156733
+0.0169243
+0.0180636
+0.0193765
+0.0207427
+0.0222412
+0.023847
+0.0255318
+0.0272145
+0.0288357
+0.0302566
+0.0316617
+0.033118
+0.034646
+0.0362237
+0.0378624
+0.0395546
+0.0411619
+0.0427965
+0.0444786
+0.0462023
+0.0479532
+0.0497386
+0.0515553
+0.0534
+0.05527
+0.0571629
+0.0590763
+0.0610083
+0.0629573
+0.0649217
+0.0648016
+0.0647128
+0.0646907
+0.0647427
+0.0648688
+0.0650683
+0.0653408
+0.0656853
+0.0660925
+0.0665499
+0.0670753
+0.0676676
+0.068325
+0.0690457
+0.0698278
+0.0706691
+0.0715676
+0.0723904
+0.0731455
+0.0739578
+0.0748223
+0.075731
+0.0766915
+0.0777019
+0.0787603
+0.0797612
+0.0807276
+0.0817311
+0.0797998
+0.0776417
+0.0754856
+0.0733314
+0.0711795
+0.0690301
+0.0668833
+0.0647395
+0.0625989
+0.0604616
+0.0583235
+0.0561894
+0.0540599
+0.0519355
+0.0498144
+0.0476943
+0.0455799
+0.0434731
+0.0413749
+0.0392869
+0.0372107
+0.0351484
+0.0331026
+0.0310765
+0.029074
+0.0270861
+0.0251319
+0.0232201
+0.0213606
+0.0195545
+0.0178303
+0.0162037
+0.0147216
+0.013397
+0.0122925
+0.0114174
+0.0109181
+0.0107857
+0.0110689
+0.0117429
+0.0127053
+0.0139481
+0.0150464
+0.0163129
+0.0176824
+0.0191698
+0.020782
+0.0224775
+0.0241693
+0.0258522
+0.0273265
+0.0287099
+0.0301496
+0.0316755
+0.0332536
+0.0348943
+0.0365926
+0.0382113
+0.0398461
+0.0415322
+0.0432568
+0.0450153
+0.0468103
+0.0486377
+0.050494
+0.0523761
+0.0542814
+0.0562076
+0.0581524
+0.0601142
+0.0620912
+0.0637962
+0.0636431
+0.0635598
+0.063542
+0.063595
+0.0637233
+0.0639265
+0.0642038
+0.0645543
+0.0649686
+0.0654476
+0.0659922
+0.0665942
+0.0672621
+0.0679941
+0.0687881
+0.0695983
+0.0704051
+0.0711837
+0.0719515
+0.0727771
+0.0736552
+0.0745782
+0.0755445
+0.0765577
+0.0775219
+0.0784439
+0.0794062
+0.0804134
+0.0794685
+0.077302
+0.0751368
+0.0729732
+0.0708112
+0.0686503
+0.0664912
+0.0643343
+0.0621798
+0.0600278
+0.0578788
+0.0557331
+0.0535909
+0.0514515
+0.049312
+0.0471772
+0.0450478
+0.0429246
+0.0408054
+0.0386877
+0.0365775
+0.0344773
+0.0323892
+0.0303155
+0.0282594
+0.0262252
+0.0242183
+0.0222329
+0.0202844
+0.0183904
+0.0165698
+0.014834
+0.0132068
+0.0117552
+0.0105035
+0.00951538
+0.00891021
+0.00873624
+0.00908088
+0.0098179
+0.0109507
+0.0120703
+0.0132643
+0.0146381
+0.0161086
+0.0177285
+0.019437
+0.0211376
+0.0228861
+0.0244054
+0.0257925
+0.0272102
+0.0287252
+0.0303034
+0.0319454
+0.0336499
+0.0352856
+0.03692
+0.0386093
+0.0403339
+0.0421005
+0.0439053
+0.0457438
+0.0476122
+0.049507
+0.0514252
+0.0533645
+0.0553226
+0.0572974
+0.0592875
+0.0612912
+0.0625893
+0.0624574
+0.0624022
+0.0624239
+0.0624993
+0.0626298
+0.0628365
+0.0631185
+0.063475
+0.0639001
+0.0643871
+0.0649443
+0.06557
+0.0662546
+0.0669704
+0.0676668
+0.0684263
+0.0692139
+0.0700042
+0.0707714
+0.0715975
+0.072476
+0.0733996
+0.0743653
+0.0753311
+0.076208
+0.0771326
+0.0781078
+0.0791315
+0.0790705
+0.0769141
+0.0747597
+0.0726075
+0.0704576
+0.0683104
+0.0661573
+0.0639901
+0.0618245
+0.0596607
+0.057499
+0.0553396
+0.0531827
+0.0510287
+0.048878
+0.046731
+0.0445882
+0.0424504
+0.04031
+0.0381746
+0.0360459
+0.0339251
+0.0318097
+0.0296968
+0.0275948
+0.0255076
+0.0234393
+0.0213954
+0.0193836
+0.0174051
+0.0154689
+0.0136102
+0.0118653
+0.0102402
+0.00884329
+0.00774752
+0.00699093
+0.00675292
+0.00707591
+0.00799982
+0.00917535
+0.0102397
+0.011606
+0.0130648
+0.0146919
+0.0164181
+0.0181283
+0.0199268
+0.0214769
+0.0229225
+0.0243102
+0.0258095
+0.0273783
+0.0290204
+0.030731
+0.032392
+0.0340243
+0.0357108
+0.0374392
+0.0392138
+0.0410286
+0.0428785
+0.0447593
+0.046667
+0.0485987
+0.0505515
+0.052523
+0.0545113
+0.0565145
+0.0585124
+0.0604647
+0.0614367
+0.0613024
+0.0612462
+0.0612683
+0.0613686
+0.0615468
+0.0617941
+0.0620809
+0.0624433
+0.0628799
+0.063384
+0.0639505
+0.0645736
+0.0651699
+0.0658124
+0.0664981
+0.0672293
+0.0680232
+0.0688139
+0.0695943
+0.0704225
+0.0712939
+0.0722213
+0.073198
+0.0740307
+0.0749182
+0.0758585
+0.0768498
+0.0778848
+0.0787195
+0.0765532
+0.0743884
+0.0722251
+0.0700635
+0.0679038
+0.0657462
+0.0635908
+0.0614378
+0.0592877
+0.0571406
+0.054997
+0.0528532
+0.0506853
+0.0485193
+0.0463557
+0.0441947
+0.0420369
+0.0398826
+0.0377324
+0.0355873
+0.033448
+0.0313159
+0.0291904
+0.0270644
+0.0249492
+0.0228392
+0.0207399
+0.0186596
+0.0166059
+0.0145916
+0.0126318
+0.010729
+0.0089586
+0.00734294
+0.00605115
+0.00512275
+0.00477455
+0.00520819
+0.00629805
+0.0072763
+0.008563
+0.0100543
+0.0116817
+0.0134259
+0.0151549
+0.0169791
+0.0185972
+0.0201203
+0.0214656
+0.0229416
+0.0244958
+0.0261354
+0.0278509
+0.0295398
+0.0311675
+0.0328469
+0.0345797
+0.0363618
+0.0381865
+0.0400479
+0.0419412
+0.0438621
+0.0458073
+0.0477737
+0.0497588
+0.0517606
+0.0537572
+0.0557039
+0.0576682
+0.0596482
+0.0603417
+0.060205
+0.0601477
+0.0601702
+0.0602724
+0.0604539
+0.0607138
+0.0610514
+0.0614652
+0.0619158
+0.0624173
+0.06289
+0.0634184
+0.0639833
+0.0645945
+0.0652736
+0.0660185
+0.0668268
+0.0676426
+0.0684255
+0.0692338
+0.0700931
+0.0710056
+0.0719211
+0.0727683
+0.0736709
+0.0746252
+0.0756204
+0.0766653
+0.0784282
+0.0762537
+0.0740801
+0.0719075
+0.0697361
+0.0675659
+0.0653971
+0.0632298
+0.0610642
+0.0589004
+0.0567386
+0.0545792
+0.0524224
+0.0502685
+0.048118
+0.0459712
+0.0438288
+0.0416914
+0.0395598
+0.0373952
+0.0352295
+0.0330671
+0.0309087
+0.0287551
+0.0266077
+0.0244679
+0.0223379
+0.020221
+0.0181216
+0.0160128
+0.0139208
+0.0118646
+0.00986639
+0.0079543
+0.00605267
+0.00442681
+0.003372
+0.00290959
+0.00340403
+0.00449187
+0.00558098
+0.00711051
+0.00873314
+0.0104806
+0.0122435
+0.0140886
+0.0157768
+0.0173756
+0.0187018
+0.0201417
+0.0216729
+0.0233052
+0.0250229
+0.0267302
+0.0283454
+0.0300296
+0.0317649
+0.0335536
+0.0353875
+0.0372599
+0.0391654
+0.0410993
+0.0430578
+0.0450377
+0.0470298
+0.0490242
+0.0509692
+0.0529279
+0.054904
+0.0568959
+0.0589019
+0.0593001
+0.0591609
+0.0591026
+0.0591255
+0.0592294
+0.059414
+0.0596785
+0.0600219
+0.0604427
+0.0608262
+0.0612312
+0.0617113
+0.0622117
+0.0627637
+0.0633867
+0.0640785
+0.0648369
+0.0656598
+0.066399
+0.0671521
+0.0679623
+0.068811
+0.0697181
+0.0706699
+0.0715404
+0.0724538
+0.073413
+0.0744245
+0.0754858
+0.0781874
+0.0760074
+0.0738281
+0.0716494
+0.0694715
+0.0672944
+0.0651182
+0.0629427
+0.0607672
+0.0585924
+0.0564189
+0.0542468
+0.0520762
+0.0499074
+0.0477406
+0.045576
+0.0434141
+0.0412552
+0.0390999
+0.0369487
+0.0348024
+0.032662
+0.0305288
+0.0284043
+0.0262587
+0.0241071
+0.0219631
+0.0198235
+0.0176767
+0.0155423
+0.013426
+0.0113379
+0.00929718
+0.00719427
+0.00510223
+0.00314316
+0.00156028
+0.00102344
+0.00175635
+0.00280339
+0.00423521
+0.00592153
+0.00765688
+0.00943814
+0.0113069
+0.0130826
+0.0146488
+0.0160605
+0.0174394
+0.0189355
+0.0205524
+0.0222669
+0.0239757
+0.0255772
+0.0272608
+0.0290081
+0.030801
+0.0326425
+0.0345248
+0.0364416
+0.0383877
+0.0403583
+0.042327
+0.0443164
+0.0462687
+0.0482192
+0.0501895
+0.0521774
+0.0541809
+0.0561984
+0.0582284
+0.0582951
+0.058172
+0.0581127
+0.058136
+0.0582417
+0.0584294
+0.0586983
+0.0589937
+0.0592658
+0.0596008
+0.060014
+0.0605038
+0.0610029
+0.0615657
+0.0622007
+0.0629055
+0.063678
+0.0644338
+0.0651264
+0.0658659
+0.0666693
+0.0675342
+0.0684499
+0.0694177
+0.0703518
+0.071272
+0.072245
+0.0732486
+0.0742681
+0.0780054
+0.0758201
+0.0736352
+0.0714507
+0.0692665
+0.0670828
+0.0648995
+0.0627168
+0.0605346
+0.058353
+0.0561722
+0.0539922
+0.051813
+0.0496349
+0.047458
+0.0452822
+0.0431068
+0.0409318
+0.0387585
+0.0365872
+0.0344184
+0.0322526
+0.0300903
+0.0279325
+0.0257803
+0.0236351
+0.0214991
+0.0193753
+0.0172322
+0.0150886
+0.0129547
+0.0108186
+0.00870964
+0.00665373
+0.00457219
+0.00245462
+0.000351782
+-0.000856119
+0.000718207
+0.00161844
+0.00322409
+0.00503712
+0.0068438
+0.00869644
+0.0106112
+0.0120953
+0.0136089
+0.0148877
+0.016323
+0.0179119
+0.0196133
+0.0213125
+0.0228937
+0.0245658
+0.0263142
+0.0281203
+0.0299664
+0.0318562
+0.0337824
+0.0357177
+0.037674
+0.0396549
+0.0416138
+0.0435523
+0.0455138
+0.0474953
+0.0494945
+0.0515092
+0.0535377
+0.0555786
+0.0575226
+0.0573304
+0.0572026
+0.0571586
+0.0571986
+0.0573207
+0.0574159
+0.0575443
+0.0577556
+0.0580489
+0.0584229
+0.0588533
+0.0593372
+0.0598459
+0.0604195
+0.0610663
+0.0617841
+0.062546
+0.063164
+0.0638511
+0.0646052
+0.065424
+0.0663004
+0.0672277
+0.0682128
+0.0691895
+0.0700857
+0.0710212
+0.071998
+0.0730188
+0.0778845
+0.0756958
+0.0735072
+0.0713187
+0.0691304
+0.0669422
+0.0647542
+0.0625664
+0.0603788
+0.0581914
+0.0560043
+0.0538174
+0.0516309
+0.0494448
+0.0472591
+0.0450738
+0.0428892
+0.0407051
+0.0385219
+0.0363395
+0.0341582
+0.0319781
+0.0297997
+0.0276231
+0.025448
+0.0232731
+0.0211004
+0.0189319
+0.0167692
+0.0146149
+0.0124732
+0.010352
+0.00823742
+0.00607998
+0.00395462
+0.00188892
+-9.51907e-05
+-0.000343766
+0.000713507
+0.00152699
+0.00298734
+0.00463903
+0.00646433
+0.00828805
+0.0098307
+0.0113626
+0.0125605
+0.0139113
+0.0154377
+0.0171089
+0.0187743
+0.0203198
+0.0219753
+0.0237075
+0.0254978
+0.0273465
+0.0292424
+0.031156
+0.033092
+0.035058
+0.0370218
+0.0389425
+0.0408904
+0.0428617
+0.0448534
+0.0468628
+0.0488878
+0.0509265
+0.0529774
+0.0550391
+0.0565354
+0.0563537
+0.0562567
+0.056156
+0.0561129
+0.0561374
+0.0561836
+0.0563151
+0.0565313
+0.0568311
+0.0572133
+0.0576762
+0.058191
+0.0587307
+0.0593234
+0.0599825
+0.0607135
+0.0612903
+0.0619207
+0.0626215
+0.0633903
+0.0642246
+0.0651116
+0.0660556
+0.0670579
+0.0679297
+0.0688284
+0.0697832
+0.0707679
+0.0718059
+0.0778252
+0.0756347
+0.0734443
+0.0712539
+0.0690635
+0.0668731
+0.0646828
+0.0624925
+0.0603022
+0.0581119
+0.0559217
+0.0537315
+0.0515413
+0.0493512
+0.0471612
+0.0449712
+0.0427813
+0.0405914
+0.0384017
+0.0362121
+0.0340226
+0.0318333
+0.0296442
+0.0274553
+0.0252668
+0.0230786
+0.020891
+0.0187042
+0.0165183
+0.0143339
+0.0121517
+0.00997335
+0.00780117
+0.00563371
+0.00348163
+0.00137278
+-0.000226899
+0.000521464
+0.00150005
+0.00266802
+0.00348499
+0.0048744
+0.00639068
+0.00808781
+0.00944768
+0.0105812
+0.0118002
+0.0132289
+0.0148256
+0.0163792
+0.0178634
+0.0194813
+0.0212023
+0.0229928
+0.0248288
+0.0267119
+0.0286151
+0.030555
+0.0325194
+0.0344125
+0.0363391
+0.038294
+0.0402733
+0.0422734
+0.0442915
+0.0463253
+0.0483729
+0.0504324
+0.0523004
+0.0541595
+0.0555096
+0.0552329
+0.055016
+0.0548857
+0.0548412
+0.0548667
+0.054914
+0.0550485
+0.0552696
+0.0555763
+0.055967
+0.0564402
+0.0569937
+0.0575496
+0.0581778
+0.0588809
+0.059513
+0.0600823
+0.0607253
+0.0614397
+0.062223
+0.0630728
+0.0639757
+0.0649362
+0.0658376
+0.0666928
+0.0676049
+0.0685509
+0.069553
+0.070599
+0.0770997
+0.0756371
+0.0734467
+0.0712564
+0.0690661
+0.0668758
+0.0646856
+0.0624953
+0.0603051
+0.058115
+0.0559249
+0.0537348
+0.0515448
+0.0493548
+0.047165
+0.0449752
+0.0427855
+0.0405958
+0.0384064
+0.036217
+0.0340278
+0.0318389
+0.0296502
+0.0274618
+0.0252738
+0.0230864
+0.0208996
+0.0187137
+0.0165291
+0.0143437
+0.0121587
+0.00997607
+0.00779803
+0.00562981
+0.00348947
+0.00142072
+0.000547149
+0.00168617
+0.0030128
+0.00414517
+0.00468246
+0.00550639
+0.00685672
+0.00816143
+0.00923875
+0.0101508
+0.0114158
+0.0128872
+0.0142575
+0.0156365
+0.017185
+0.0188612
+0.0206287
+0.022436
+0.0243013
+0.0261943
+0.0281306
+0.0299986
+0.0318908
+0.0338192
+0.0357777
+0.0377617
+0.0397675
+0.0417918
+0.0438312
+0.0456147
+0.0474323
+0.0492803
+0.0511553
+0.0530545
+0.0542596
+0.0540063
+0.0538017
+0.0536749
+0.0536287
+0.0536125
+0.0536782
+0.0538331
+0.0540674
+0.0543808
+0.0547801
+0.0552634
+0.0558285
+0.0564222
+0.0570653
+0.0577779
+0.0583505
+0.058931
+0.0595864
+0.0603143
+0.0611121
+0.0619703
+0.062885
+0.063822
+0.0646286
+0.0654852
+0.0663969
+0.0673578
+0.0683649
+0.0694242
+0.07567
+0.0746603
+0.0735145
+0.0713262
+0.0691381
+0.0669502
+0.0647622
+0.0625732
+0.0603843
+0.0581956
+0.056007
+0.0538185
+0.0516303
+0.0494423
+0.0472545
+0.045067
+0.0428798
+0.040693
+0.0385067
+0.0363208
+0.0341356
+0.0319512
+0.0297677
+0.0275828
+0.0253985
+0.0232154
+0.0210339
+0.0188545
+0.0166781
+0.014506
+0.0123405
+0.0101857
+0.00805037
+0.00595494
+0.00395188
+0.00228202
+0.00174309
+0.00272514
+0.00431782
+0.00572487
+0.00610928
+0.00673632
+0.00777123
+0.00860795
+0.0092371
+0.0101493
+0.0114145
+0.0125146
+0.0137513
+0.0151764
+0.0167627
+0.0184641
+0.020227
+0.0220606
+0.0239303
+0.0257604
+0.0275956
+0.0294793
+0.0314028
+0.0333594
+0.0353434
+0.0373003
+0.0390134
+0.0407722
+0.0425712
+0.0444053
+0.0462704
+0.048163
+0.0500799
+0.0519672
+0.0530546
+0.0528081
+0.0526042
+0.0524849
+0.0524172
+0.0523929
+0.0524602
+0.0526187
+0.0528675
+0.0532054
+0.0536308
+0.0541415
+0.0547051
+0.0552814
+0.0559377
+0.0566644
+0.0572482
+0.0578398
+0.0585074
+0.0592485
+0.0600535
+0.0609183
+0.061838
+0.0626303
+0.063444
+0.0643132
+0.0652313
+0.0662005
+0.0672111
+0.0682729
+0.0741744
+0.0732037
+0.0722383
+0.0712078
+0.0692221
+0.0670343
+0.0648468
+0.0626595
+0.0604724
+0.0582856
+0.0560991
+0.0539129
+0.0517272
+0.0495418
+0.047357
+0.0451727
+0.0429891
+0.0408062
+0.0386239
+0.0364425
+0.0342622
+0.0320833
+0.0299062
+0.0277313
+0.025559
+0.0233901
+0.0212258
+0.0190674
+0.0169174
+0.0147793
+0.0126592
+0.010568
+0.00852681
+0.0065657
+0.00475784
+0.00339643
+0.00306174
+0.00386294
+0.00516398
+0.00655901
+0.00689846
+0.00742719
+0.00826592
+0.00918449
+0.00968192
+0.0105557
+0.0113203
+0.0123133
+0.0135367
+0.01497
+0.0165696
+0.0182779
+0.0200495
+0.0218008
+0.0235371
+0.0253436
+0.0272026
+0.029106
+0.0309425
+0.0325481
+0.0342186
+0.035945
+0.0377197
+0.0395361
+0.0413888
+0.0432731
+0.045185
+0.0470947
+0.0489703
+0.0508244
+0.0519141
+0.0516521
+0.0514381
+0.0513152
+0.0512629
+0.051238
+0.0513068
+0.0514688
+0.0517232
+0.0520686
+0.0525031
+0.0530247
+0.0536173
+0.0542052
+0.0548744
+0.0556059
+0.0562097
+0.0568121
+0.0574916
+0.0582385
+0.0590486
+0.0599279
+0.0606766
+0.0614576
+0.0622757
+0.0631396
+0.0640346
+0.0649896
+0.0660035
+0.0670658
+0.072679
+0.0717021
+0.0707785
+0.0698522
+0.068735
+0.0671579
+0.0649743
+0.0627911
+0.0606085
+0.0584265
+0.0562452
+0.0540646
+0.0518849
+0.0497061
+0.0475284
+0.045352
+0.0431771
+0.0410038
+0.0388325
+0.0366634
+0.0344971
+0.0323341
+0.0301751
+0.0280211
+0.0258731
+0.023733
+0.021603
+0.0194865
+0.0173883
+0.0153161
+0.0132801
+0.0112758
+0.00933667
+0.00753665
+0.0059786
+0.00492693
+0.00463116
+0.00522697
+0.00638936
+0.00706246
+0.00735732
+0.00813088
+0.00888827
+0.00985559
+0.0105713
+0.0109033
+0.0115217
+0.012441
+0.013653
+0.0150753
+0.0166377
+0.0182425
+0.0198374
+0.0215059
+0.0232569
+0.0247843
+0.026319
+0.0278466
+0.0294579
+0.0311401
+0.0328822
+0.0346752
+0.0365117
+0.0383853
+0.040291
+0.0422243
+0.0440962
+0.0459725
+0.0478414
+0.0497364
+0.0505887
+0.0503302
+0.0501552
+0.050068
+0.0499801
+0.0499732
+0.0500623
+0.0502468
+0.0505257
+0.0508883
+0.0512968
+0.0517948
+0.0523798
+0.0530478
+0.0537907
+0.0546072
+0.0552386
+0.0558515
+0.0565351
+0.0572856
+0.058109
+0.0587879
+0.0594899
+0.0602302
+0.0610403
+0.0619159
+0.0628268
+0.0637999
+0.0648265
+0.0659029
+0.0712196
+0.0702224
+0.0692801
+0.0683951
+0.0675127
+0.0663147
+0.0650982
+0.0629959
+0.0608206
+0.0586465
+0.0564736
+0.0543022
+0.0521325
+0.0499645
+0.0477986
+0.0456351
+0.0434743
+0.0413167
+0.0391627
+0.037013
+0.0348684
+0.03273
+0.0305989
+0.0284769
+0.0263661
+0.0242695
+0.0221911
+0.0201259
+0.0180745
+0.01606
+0.0140981
+0.0122142
+0.0104442
+0.00885529
+0.0075729
+0.00667437
+0.00635102
+0.00665463
+0.00745451
+0.00767315
+0.00794847
+0.0084647
+0.00905378
+0.01003
+0.0110667
+0.0114272
+0.012003
+0.0128921
+0.0140683
+0.0153844
+0.0164661
+0.0176414
+0.0188788
+0.0202431
+0.021743
+0.0232266
+0.0247511
+0.0263696
+0.0280659
+0.0298267
+0.0316412
+0.0335007
+0.0353982
+0.0373277
+0.0392282
+0.0410986
+0.0429877
+0.0448739
+0.0467866
+0.0487227
+0.0492654
+0.0489999
+0.0488314
+0.0487508
+0.0487555
+0.0487485
+0.0488398
+0.0490289
+0.0493147
+0.0496669
+0.0500853
+0.0505953
+0.0511939
+0.0518783
+0.052645
+0.0534902
+0.0543248
+0.0549532
+0.0556393
+0.0563532
+0.0569623
+0.0575912
+0.0582734
+0.059029
+0.0598427
+0.0607168
+0.0616457
+0.0626371
+0.0636714
+0.0647467
+0.0697984
+0.0687806
+0.0678183
+0.0669139
+0.066064
+0.0651909
+0.063953
+0.0627576
+0.0609242
+0.0587554
+0.0565882
+0.054423
+0.0522599
+0.0500991
+0.0479411
+0.0457862
+0.0436348
+0.0414876
+0.0393451
+0.0372083
+0.0350781
+0.0329559
+0.0308432
+0.0287422
+0.0266556
+0.0245872
+0.0225418
+0.0205265
+0.018551
+0.0166296
+0.0147831
+0.0130377
+0.0113903
+0.00991573
+0.00868338
+0.00785379
+0.00749
+0.00768191
+0.00839646
+0.00841996
+0.00854325
+0.00882122
+0.00916942
+0.0095025
+0.0100632
+0.010732
+0.0115311
+0.0124432
+0.0129901
+0.0137744
+0.0147693
+0.015911
+0.017236
+0.0187205
+0.0201359
+0.0216564
+0.0232839
+0.0249976
+0.026781
+0.0286209
+0.0305072
+0.0324318
+0.0343688
+0.0362252
+0.038117
+0.0400201
+0.0419253
+0.0438572
+0.0458124
+0.047788
+0.0479987
+0.0477262
+0.0475532
+0.0474807
+0.047498
+0.0475931
+0.0476866
+0.0478803
+0.0481729
+0.0485136
+0.048942
+0.0494637
+0.0500759
+0.0507753
+0.0515544
+0.0523643
+0.0531857
+0.05408
+0.0547093
+0.0552071
+0.0557789
+0.0563882
+0.0570636
+0.0578141
+0.0586369
+0.0595203
+0.0604673
+0.0614777
+0.0625381
+0.0636228
+0.0683652
+0.0673792
+0.0663966
+0.0654642
+0.0645827
+0.0637642
+0.0628622
+0.0616412
+0.0604746
+0.0588692
+0.0567064
+0.0545459
+0.0523878
+0.0502326
+0.0480806
+0.0459322
+0.043788
+0.0416487
+0.0395149
+0.0373878
+0.0352685
+0.0331584
+0.0310595
+0.0289742
+0.0269056
+0.024858
+0.022837
+0.0208502
+0.0189035
+0.0170096
+0.0151956
+0.013494
+0.0119433
+0.0105819
+0.00953463
+0.00891292
+0.00874434
+0.00901902
+0.00961865
+0.00937414
+0.00928719
+0.00894563
+0.00871293
+0.0088382
+0.00930093
+0.00958947
+0.0102109
+0.0107357
+0.0112437
+0.0119795
+0.0129999
+0.0142628
+0.0156522
+0.017048
+0.0185628
+0.020202
+0.0219377
+0.0237488
+0.0256192
+0.0275369
+0.0294926
+0.0313596
+0.0332396
+0.0351556
+0.0370739
+0.039
+0.0409527
+0.0429284
+0.044924
+0.0468911
+0.0467595
+0.046509
+0.0463314
+0.046257
+0.046251
+0.0463169
+0.0464698
+0.0467083
+0.0470477
+0.0473898
+0.0478281
+0.0483617
+0.0489876
+0.049685
+0.0504297
+0.0512573
+0.0521138
+0.0530262
+0.0535549
+0.0540548
+0.0545833
+0.0551939
+0.0558836
+0.0566498
+0.0574835
+0.0583812
+0.0593463
+0.0603755
+0.0614317
+0.0625356
+0.0669713
+0.0659664
+0.0649779
+0.0640336
+0.0631346
+0.0622972
+0.0615263
+0.0604572
+0.059381
+0.058251
+0.0569088
+0.0547562
+0.0526068
+0.0504609
+0.048319
+0.0461818
+0.0440497
+0.0419237
+0.0398048
+0.037694
+0.0355929
+0.0335033
+0.0314274
+0.0293682
+0.0273225
+0.0253004
+0.0233088
+0.0213562
+0.0194544
+0.0176198
+0.0158643
+0.014206
+0.01271
+0.01144
+0.0104471
+0.00979097
+0.0096005
+0.00981476
+0.0104877
+0.00993762
+0.00925276
+0.00883965
+0.00834277
+0.00825413
+0.0083316
+0.00846535
+0.00867796
+0.00894813
+0.00935725
+0.0101997
+0.0113519
+0.0125973
+0.0139645
+0.0154711
+0.017126
+0.0188903
+0.0207361
+0.0226435
+0.024598
+0.0265061
+0.0283694
+0.0302766
+0.0322199
+0.0341545
+0.0361035
+0.0380787
+0.0400763
+0.0420765
+0.0440588
+0.0457303
+0.045479
+0.0452756
+0.0451138
+0.0450086
+0.0449768
+0.0450445
+0.0452049
+0.0454675
+0.0457889
+0.0461384
+0.0465885
+0.0471362
+0.0477782
+0.0485106
+0.0493296
+0.0502215
+0.0511134
+0.0519959
+0.0524346
+0.0528984
+0.0534384
+0.0540619
+0.0547659
+0.0555448
+0.0563883
+0.0573027
+0.0582698
+0.059302
+0.0603689
+0.0614843
+0.0656209
+0.064595
+0.0635878
+0.0626226
+0.0617191
+0.0608672
+0.0600827
+0.0591389
+0.0581033
+0.0571271
+0.0561102
+0.0550486
+0.0529086
+0.0507731
+0.0486424
+0.0465173
+0.0443985
+0.0422871
+0.0401842
+0.0380912
+0.0360098
+0.0339422
+0.031891
+0.0298596
+0.0278524
+0.0258696
+0.0239198
+0.0220007
+0.0201338
+0.0183387
+0.0166386
+0.0150658
+0.0136641
+0.0124614
+0.011507
+0.0109148
+0.0107407
+0.0107865
+0.0111511
+0.0100419
+0.00913248
+0.00857903
+0.00804505
+0.00740147
+0.00697903
+0.00678456
+0.00685183
+0.00709234
+0.00758867
+0.00857317
+0.00957023
+0.0108862
+0.0123825
+0.0140597
+0.0158625
+0.0177528
+0.0197055
+0.0216729
+0.023511
+0.0254052
+0.0273436
+0.0293176
+0.0312696
+0.0332433
+0.0352427
+0.0372636
+0.0392636
+0.0412645
+0.0432825
+0.0444655
+0.0442307
+0.0440375
+0.0439133
+0.0437878
+0.0437551
+0.043832
+0.044008
+0.0442387
+0.0445761
+0.0449553
+0.045417
+0.0459786
+0.0466364
+0.0473864
+0.0482244
+0.0491458
+0.0500989
+0.050933
+0.0513163
+0.0517847
+0.0523406
+0.0529751
+0.0536805
+0.0544648
+0.0553249
+0.0562476
+0.0572325
+0.0582712
+0.059354
+0.0604383
+0.0643168
+0.0632698
+0.0622437
+0.0612573
+0.0603343
+0.0594745
+0.0586714
+0.0577945
+0.0567902
+0.0558075
+0.0548817
+0.054025
+0.0530904
+0.0511505
+0.0490362
+0.046929
+0.0448283
+0.0427331
+0.040648
+0.0385746
+0.0365149
+0.0344713
+0.032447
+0.0304457
+0.0284722
+0.0265329
+0.0246353
+0.0227745
+0.0209766
+0.0192602
+0.0176492
+0.0161297
+0.0146917
+0.0134456
+0.0124169
+0.0116908
+0.0112863
+0.0112506
+0.0114649
+0.0102221
+0.00928586
+0.00811421
+0.00696069
+0.00609966
+0.00546206
+0.00509196
+0.00506969
+0.00516502
+0.00575697
+0.0066093
+0.00781577
+0.00930033
+0.0110111
+0.0128683
+0.0148168
+0.016825
+0.0186737
+0.0205466
+0.022477
+0.0244514
+0.0264583
+0.0284284
+0.0304287
+0.0324536
+0.034488
+0.0364835
+0.0385003
+0.0405351
+0.0425853
+0.0432295
+0.0430003
+0.0427915
+0.0426637
+0.042634
+0.0425877
+0.0426232
+0.0427612
+0.0429987
+0.0433457
+0.0437997
+0.0442943
+0.0448699
+0.0455437
+0.0463115
+0.0471685
+0.0481101
+0.0490655
+0.0497269
+0.0502511
+0.0507293
+0.0512903
+0.0519261
+0.0526455
+0.053445
+0.054293
+0.0552038
+0.0561754
+0.057213
+0.0582775
+0.0593648
+0.0630619
+0.0619936
+0.0609487
+0.059941
+0.0589975
+0.0581212
+0.0573091
+0.056444
+0.0554356
+0.0544966
+0.0535814
+0.0527211
+0.0519229
+0.0511996
+0.0494939
+0.0474024
+0.0453204
+0.043249
+0.04119
+0.0391453
+0.0371173
+0.0351088
+0.0331235
+0.0311656
+0.029237
+0.0273377
+0.0254784
+0.0236087
+0.0217866
+0.0200385
+0.0183854
+0.0168535
+0.0154449
+0.0142235
+0.0132071
+0.0124715
+0.0120932
+0.0120652
+0.0118122
+0.0105257
+0.00899451
+0.00739825
+0.00596733
+0.00479392
+0.00386705
+0.00335657
+0.0031196
+0.00319246
+0.00378663
+0.00477288
+0.00623022
+0.00799762
+0.00993511
+0.0119603
+0.0138732
+0.0157075
+0.0176234
+0.0195969
+0.0216123
+0.0236351
+0.025635
+0.0276638
+0.0297156
+0.0317345
+0.0337506
+0.0357872
+0.0378411
+0.0399095
+0.0419903
+0.0420682
+0.0418053
+0.041603
+0.0414564
+0.0413733
+0.041387
+0.041422
+0.0415724
+0.0418366
+0.0421932
+0.0426594
+0.0432318
+0.0438427
+0.0445321
+0.045317
+0.0461925
+0.0470997
+0.0478286
+0.0484964
+0.0491963
+0.0497033
+0.0503008
+0.0509356
+0.0516185
+0.0523842
+0.0532291
+0.0541479
+0.0551366
+0.0561929
+0.0572473
+0.0583539
+0.0618591
+0.0607697
+0.0597061
+0.0586771
+0.0577128
+0.0568168
+0.0559826
+0.0550112
+0.054111
+0.0531526
+0.0522645
+0.051439
+0.0506371
+0.0499035
+0.049253
+0.0479682
+0.0459118
+0.0438684
+0.0418399
+0.0398286
+0.0378372
+0.035869
+0.0338716
+0.0318936
+0.0299439
+0.0280201
+0.0261384
+0.0243085
+0.0225431
+0.0208415
+0.0192187
+0.0177183
+0.0163744
+0.0151949
+0.0142265
+0.0135463
+0.0131989
+0.0131733
+0.0119715
+0.0104063
+0.00867068
+0.00688229
+0.00519325
+0.00361783
+0.00229228
+0.00151186
+0.00126648
+0.00129069
+0.00184859
+0.00316929
+0.00505889
+0.00710572
+0.00913159
+0.0109024
+0.0127876
+0.0147575
+0.0167821
+0.018844
+0.020864
+0.0229019
+0.0249656
+0.0270174
+0.0290486
+0.0310862
+0.0331418
+0.0352136
+0.0372991
+0.0392623
+0.0405289
+0.040896
+0.0405951
+0.0404108
+0.0402307
+0.0401449
+0.0401786
+0.0402416
+0.0403981
+0.0406666
+0.0410334
+0.0415126
+0.0421006
+0.0427851
+0.0435125
+0.0443233
+0.0450979
+0.0459639
+0.0466617
+0.0473353
+0.0480909
+0.0486526
+0.0492583
+0.0498642
+0.0505578
+0.0513357
+0.0521939
+0.0531287
+0.054136
+0.0552106
+0.0560736
+0.0570064
+0.0607115
+0.0596012
+0.0585178
+0.0574688
+0.056484
+0.0555681
+0.0545585
+0.0535613
+0.0526364
+0.051783
+0.0509558
+0.0501242
+0.0493574
+0.0486612
+0.0479975
+0.0474222
+0.0465988
+0.044572
+0.0425275
+0.0404983
+0.0384868
+0.036495
+0.0345182
+0.0325608
+0.030635
+0.0287472
+0.0269053
+0.0251144
+0.0233778
+0.0217234
+0.0201715
+0.0187476
+0.017483
+0.0163844
+0.0154906
+0.0148684
+0.0145525
+0.0139298
+0.0122072
+0.010249
+0.008378
+0.00640648
+0.00448533
+0.00271992
+0.00112361
+-0.000268653
+-0.00070911
+-0.000683806
+0.000251957
+0.00234159
+0.00428498
+0.00617059
+0.00802832
+0.00997581
+0.0120074
+0.0140024
+0.0160144
+0.0180679
+0.0201504
+0.0222321
+0.0242684
+0.0263295
+0.02841
+0.0305059
+0.0326143
+0.0347324
+0.0362256
+0.0375348
+0.0387792
+0.039505
+0.0394319
+0.0392182
+0.0390182
+0.0389298
+0.0389646
+0.0390085
+0.03917
+0.0394526
+0.0398319
+0.0403254
+0.0409304
+0.041642
+0.0424124
+0.0432142
+0.0440195
+0.0449064
+0.045568
+0.0462488
+0.0470219
+0.0475771
+0.0481548
+0.0487856
+0.0494944
+0.0502887
+0.0511645
+0.0521177
+0.0530123
+0.0538199
+0.0547034
+0.0556591
+0.0596224
+0.0584914
+0.0573871
+0.0563189
+0.0553146
+0.054242
+0.0531689
+0.0521487
+0.0511989
+0.0503267
+0.0495286
+0.0488063
+0.0480631
+0.0473643
+0.0467578
+0.0461755
+0.0454171
+0.0447361
+0.0431476
+0.0411342
+0.0391398
+0.0371676
+0.0352211
+0.0333051
+0.0314249
+0.0295818
+0.027779
+0.0260358
+0.024365
+0.0227824
+0.0213078
+0.0199651
+0.0187826
+0.0177541
+0.0169328
+0.0163655
+0.0160653
+0.0140124
+0.0120082
+0.0100589
+0.00820346
+0.00625459
+0.00418316
+0.00213356
+9.90359e-05
+-0.00157519
+-0.00261011
+-0.00224225
+-0.000383455
+0.00132212
+0.00342345
+0.00535842
+0.00722468
+0.00917164
+0.0112073
+0.0132815
+0.015388
+0.0175096
+0.0195469
+0.0216141
+0.0237035
+0.0258098
+0.0279272
+0.0300454
+0.0318698
+0.0331526
+0.0345268
+0.0358579
+0.0367995
+0.0375636
+0.0382361
+0.0380129
+0.0377954
+0.0377041
+0.0377281
+0.0377682
+0.0379349
+0.0382266
+0.0386405
+0.039163
+0.0397852
+0.0405
+0.0412227
+0.0420471
+0.0429676
+0.0438773
+0.0445463
+0.0452425
+0.0459904
+0.0464925
+0.0470912
+0.0477701
+0.0484937
+0.0493041
+0.0501971
+0.0509061
+0.0516537
+0.0524822
+0.0533878
+0.0543667
+0.0585888
+0.0574371
+0.0563189
+0.05523
+0.0540859
+0.0529191
+0.0518186
+0.0507875
+0.0498126
+0.0489157
+0.0481018
+0.0473647
+0.0467117
+0.0461181
+0.045495
+0.0449435
+0.0441493
+0.0434454
+0.042842
+0.0418406
+0.0398816
+0.0379479
+0.0360437
+0.0341676
+0.0323237
+0.0305256
+0.028782
+0.0271034
+0.0255026
+0.0239952
+0.0225998
+0.0213386
+0.0202134
+0.0192482
+0.0184934
+0.0179753
+0.0162134
+0.0141649
+0.0121484
+0.0102039
+0.00827068
+0.00619776
+0.00412324
+0.0021671
+5.58156e-05
+-0.0020768
+-0.00421167
+-0.00292833
+-0.00108432
+0.000813867
+0.00240581
+0.00441443
+0.00649024
+0.00860501
+0.0107485
+0.0128967
+0.0149397
+0.0170007
+0.0190836
+0.0211875
+0.0233074
+0.0254393
+0.0275785
+0.0288319
+0.0300847
+0.0314403
+0.0328763
+0.0341607
+0.0348451
+0.0356511
+0.0365644
+0.0368754
+0.0366513
+0.0365572
+0.0365427
+0.036584
+0.0367561
+0.0370571
+0.037484
+0.0380268
+0.0386678
+0.0393694
+0.0401126
+0.0409597
+0.0418957
+0.0428331
+0.0436107
+0.0443216
+0.044944
+0.0454576
+0.0460698
+0.0467766
+0.0475585
+0.0482935
+0.0489021
+0.0495866
+0.0503538
+0.0512034
+0.0521312
+0.0531332
+0.0576094
+0.0564377
+0.0553119
+0.0541071
+0.05285
+0.0516552
+0.0505272
+0.0494684
+0.0484681
+0.0475478
+0.0467122
+0.0459658
+0.0453035
+0.0447278
+0.0442532
+0.0437594
+0.0429527
+0.0422288
+0.0416078
+0.0410864
+0.0406154
+0.0388299
+0.0369589
+0.0351248
+0.0333339
+0.0315934
+0.0299121
+0.0283006
+0.0267715
+0.0253396
+0.0240225
+0.0228287
+0.0217592
+0.0208657
+0.0201714
+0.0186554
+0.0166079
+0.0146002
+0.0126532
+0.0105267
+0.00837349
+0.00624646
+0.00418274
+0.0021634
+0.000201394
+-0.00128384
+-0.00244189
+-0.00225588
+-0.000991048
+0.000334135
+0.00229956
+0.00436036
+0.00645358
+0.00848134
+0.0104823
+0.0125467
+0.0146208
+0.0167122
+0.0188262
+0.0209559
+0.0230971
+0.0247275
+0.0258082
+0.0270236
+0.0283564
+0.0297908
+0.0312566
+0.0321952
+0.0329204
+0.0337724
+0.0347259
+0.0357488
+0.0355651
+0.0354681
+0.0354307
+0.0354899
+0.0356673
+0.0359774
+0.0364169
+0.036961
+0.0376091
+0.038303
+0.0390427
+0.039889
+0.0408355
+0.0418479
+0.042767
+0.0434786
+0.0439571
+0.0444822
+0.0451076
+0.0458111
+0.0464819
+0.0470119
+0.0476314
+0.0483304
+0.0491173
+0.0499879
+0.0509351
+0.0519404
+0.0566977
+0.0555068
+0.0543053
+0.0529623
+0.0516774
+0.0504549
+0.0492994
+0.0482124
+0.0471855
+0.0462397
+0.04538
+0.0446113
+0.0439386
+0.0433659
+0.0428762
+0.0424816
+0.0418305
+0.0410931
+0.0404547
+0.0399264
+0.0394456
+0.0390771
+0.0379722
+0.0361895
+0.034454
+0.032773
+0.0311554
+0.0296116
+0.0281538
+0.026796
+0.0255515
+0.0244055
+0.0234082
+0.02258
+0.0212486
+0.0192391
+0.017261
+0.0151697
+0.0130471
+0.0109515
+0.00890164
+0.00693845
+0.00504587
+0.00329612
+0.00170505
+0.000355216
+-0.000361738
+-0.001004
+-0.00010704
+0.00153313
+0.00298631
+0.00468328
+0.00652145
+0.0084196
+0.01043
+0.0125012
+0.0146073
+0.0167074
+0.0188219
+0.0209521
+0.0217952
+0.0228046
+0.0239721
+0.0252759
+0.0266961
+0.0282151
+0.0296324
+0.0302606
+0.031031
+0.0319332
+0.0329306
+0.034038
+0.0344684
+0.0343931
+0.0343253
+0.0343971
+0.0346027
+0.0348956
+0.0353222
+0.0358777
+0.0365362
+0.0372549
+0.038015
+0.0388839
+0.0398543
+0.0408666
+0.0419272
+0.0425958
+0.0429751
+0.0434052
+0.0439404
+0.044577
+0.045255
+0.0457992
+0.0464257
+0.0471426
+0.0479456
+0.0488161
+0.0497678
+0.0507853
+0.0558571
+0.0546479
+0.0532443
+0.0518728
+0.0505591
+0.0493078
+0.0481237
+0.0470119
+0.0459715
+0.0450001
+0.0441162
+0.0433252
+0.0426321
+0.042042
+0.041559
+0.0411687
+0.0407858
+0.0400351
+0.0393788
+0.0388352
+0.0383497
+0.0379626
+0.0376831
+0.0373525
+0.0356735
+0.0340528
+0.032499
+0.0310222
+0.0296338
+0.0283469
+0.0271476
+0.0260712
+0.0251401
+0.0239612
+0.0219823
+0.0199354
+0.0178418
+0.0157747
+0.0137459
+0.0117752
+0.00989753
+0.00806947
+0.00636031
+0.00458694
+0.00314263
+0.00213463
+0.00114954
+0.000882622
+0.00128446
+0.00153192
+0.0030516
+0.00494253
+0.00688542
+0.00882233
+0.0107875
+0.012801
+0.0148647
+0.0169533
+0.0182207
+0.0189159
+0.01983
+0.0209343
+0.0222004
+0.0236023
+0.0251173
+0.0267047
+0.027692
+0.0283632
+0.0291838
+0.0301328
+0.0311858
+0.032353
+0.0334312
+0.0333635
+0.0332936
+0.0333673
+0.0335612
+0.0338709
+0.0343103
+0.0348819
+0.0355599
+0.036298
+0.0370777
+0.0379677
+0.0388655
+0.0398637
+0.0409548
+0.0413818
+0.0417702
+0.0422126
+0.0427627
+0.0434166
+0.0441029
+0.0446549
+0.0452898
+0.0460022
+0.0468063
+0.0476976
+0.0486538
+0.0496867
+0.0550909
+0.0536826
+0.0522457
+0.0508473
+0.0495064
+0.0482278
+0.0470165
+0.0458778
+0.0448175
+0.0438315
+0.0429236
+0.0421101
+0.0413967
+0.0407887
+0.0402907
+0.039907
+0.0396199
+0.0390384
+0.0383755
+0.0378175
+0.037306
+0.0369168
+0.03663
+0.0364721
+0.0361255
+0.035422
+0.0339309
+0.0325192
+0.0311975
+0.0299592
+0.0288214
+0.0278098
+0.0267577
+0.024753
+0.022681
+0.0206335
+0.0186186
+0.0166482
+0.0147401
+0.0128696
+0.0110154
+0.00927412
+0.00754242
+0.00603034
+0.0049512
+0.00359193
+0.00307178
+0.00307259
+0.00254077
+0.00275447
+0.00398307
+0.00570493
+0.00761948
+0.00954455
+0.011491
+0.0134554
+0.0153911
+0.0156066
+0.0161179
+0.0168999
+0.0179171
+0.0191321
+0.0205098
+0.0220196
+0.023611
+0.024933
+0.0257918
+0.0265111
+0.0273873
+0.0283851
+0.0295005
+0.0307318
+0.0320657
+0.0324006
+0.0323485
+0.0324205
+0.0326145
+0.0329534
+0.0334116
+0.0339983
+0.0346582
+0.0353616
+0.0361841
+0.0370083
+0.0379289
+0.038951
+0.0399571
+0.0402504
+0.0406372
+0.0410918
+0.0416567
+0.0423277
+0.0430295
+0.0435589
+0.0441907
+0.0449205
+0.0457298
+0.0466218
+0.0475979
+0.048645
+0.0540196
+0.0525922
+0.0512186
+0.0498826
+0.0485271
+0.0472226
+0.0459855
+0.0448214
+0.0437361
+0.0427351
+0.0418117
+0.0409762
+0.0402428
+0.039617
+0.0391041
+0.0387086
+0.038434
+0.0381337
+0.037466
+0.0368725
+0.036359
+0.0359596
+0.0356805
+0.0355183
+0.0354884
+0.0351236
+0.0348927
+0.0340913
+0.0328224
+0.0316359
+0.0305605
+0.0295972
+0.0275411
+0.0255074
+0.023502
+0.0215327
+0.0196105
+0.0177057
+0.0158116
+0.0139972
+0.0122785
+0.0105798
+0.00904497
+0.00781215
+0.00647428
+0.00547089
+0.00513151
+0.00476482
+0.00437303
+0.00458149
+0.00552553
+0.00694156
+0.00862932
+0.0104891
+0.0123721
+0.0132482
+0.0132028
+0.0134521
+0.014042
+0.0149331
+0.0160753
+0.0174192
+0.018922
+0.0205186
+0.0221346
+0.023094
+0.0239412
+0.0247145
+0.0256514
+0.0267029
+0.0278856
+0.0291851
+0.0305865
+0.0315124
+0.0315179
+0.0315899
+0.031789
+0.0321366
+0.0326279
+0.0331882
+0.0337837
+0.0345081
+0.0353172
+0.0361482
+0.0370901
+0.0381347
+0.0389078
+0.039209
+0.0395931
+0.0400595
+0.0406388
+0.0413164
+0.0419832
+0.0425256
+0.0431651
+0.0438908
+0.0447122
+0.0456241
+0.0466126
+0.0476702
+0.0530065
+0.051551
+0.0501489
+0.048805
+0.0475219
+0.0462815
+0.0450185
+0.0438287
+0.0427182
+0.0416933
+0.0407469
+0.0398962
+0.0391425
+0.0384989
+0.0379709
+0.0375634
+0.0372716
+0.0370909
+0.0366491
+0.0360218
+0.0355098
+0.0351132
+0.0348364
+0.0346707
+0.0346426
+0.0345963
+0.0343618
+0.0342661
+0.0343103
+0.0333722
+0.0323546
+0.0303893
+0.0283906
+0.0264225
+0.0244921
+0.0225686
+0.0206558
+0.0188037
+0.0170138
+0.0153203
+0.0136446
+0.0121018
+0.0107858
+0.00934187
+0.00819473
+0.00749057
+0.00680483
+0.00650716
+0.00639071
+0.00656353
+0.00730874
+0.00833229
+0.00973665
+0.0113172
+0.0115457
+0.0110717
+0.0110147
+0.0113114
+0.012007
+0.0130379
+0.0143319
+0.0158247
+0.0174282
+0.0191422
+0.0202465
+0.0212785
+0.0221528
+0.0229864
+0.0239792
+0.0250992
+0.026354
+0.0277254
+0.0291969
+0.03073
+0.030774
+0.0308343
+0.0310383
+0.0313942
+0.0318275
+0.0323398
+0.0329505
+0.0336929
+0.0345156
+0.0353654
+0.0363277
+0.0373936
+0.0379561
+0.0382647
+0.0386347
+0.0391125
+0.0397057
+0.0403985
+0.0410123
+0.0415597
+0.0421994
+0.0429415
+0.0437807
+0.0447026
+0.0456994
+0.0467777
+0.0520642
+0.0505833
+0.0491537
+0.0477817
+0.0464726
+0.0452317
+0.0440446
+0.042925
+0.0417904
+0.0407422
+0.0397732
+0.0389012
+0.0381278
+0.0374667
+0.036924
+0.0365049
+0.0362045
+0.0360184
+0.0359228
+0.0352868
+0.0347639
+0.0343729
+0.034103
+0.0339336
+0.033905
+0.0340176
+0.0339478
+0.0338509
+0.0338956
+0.0340787
+0.0332819
+0.0313149
+0.0293793
+0.0274443
+0.0255208
+0.0236257
+0.0217845
+0.0200138
+0.0183341
+0.0167216
+0.0151754
+0.0138005
+0.0123216
+0.0110502
+0.0100571
+0.00914106
+0.00863858
+0.00840773
+0.00848909
+0.00844955
+0.00889474
+0.00974592
+0.0109713
+0.0103103
+0.00948535
+0.0089023
+0.00882691
+0.00919439
+0.0100378
+0.0112506
+0.0127275
+0.0143412
+0.0160858
+0.017406
+0.0184102
+0.0194717
+0.0204385
+0.0213391
+0.0223947
+0.0235901
+0.024921
+0.026367
+0.0279103
+0.029493
+0.0301267
+0.030219
+0.030385
+0.0306577
+0.0310648
+0.0315484
+0.0321742
+0.0329133
+0.0336837
+0.0345539
+0.0355382
+0.0366271
+0.0371094
+0.0374122
+0.0377787
+0.0382672
+0.0388733
+0.0395806
+0.0401297
+0.040674
+0.0413274
+0.0420848
+0.0429314
+0.0438592
+0.0448748
+0.0459724
+0.051182
+0.0496842
+0.0482286
+0.0468298
+0.0454936
+0.0442256
+0.0430319
+0.0419086
+0.0408597
+0.0398792
+0.0388985
+0.0380065
+0.0372145
+0.036537
+0.0359802
+0.0355499
+0.0352414
+0.0350503
+0.0349954
+0.0346613
+0.0341425
+0.0337443
+0.0334694
+0.0333243
+0.0332954
+0.0334101
+0.0336672
+0.0335738
+0.0336189
+0.0338035
+0.0338043
+0.0323135
+0.0303672
+0.0284564
+0.0265887
+0.024774
+0.0230248
+0.0213572
+0.0197918
+0.0182573
+0.0168023
+0.0153482
+0.0140091
+0.0128102
+0.011754
+0.0109805
+0.0105658
+0.0104228
+0.0103616
+0.01029
+0.01065
+0.0110782
+0.00983158
+0.00858319
+0.00749917
+0.00674661
+0.00664087
+0.00712205
+0.00818194
+0.00963073
+0.0112602
+0.0130491
+0.0146524
+0.015549
+0.0166599
+0.0177394
+0.0188092
+0.0197841
+0.02092
+0.0221949
+0.0236046
+0.0251265
+0.0267415
+0.0283599
+0.0296074
+0.029647
+0.0297657
+0.0300441
+0.0303983
+0.0308923
+0.0315095
+0.0321987
+0.0329683
+0.033857
+0.0348609
+0.0359701
+0.0363259
+0.0366483
+0.0370326
+0.0375309
+0.0381487
+0.0388692
+0.0393339
+0.0398891
+0.0405551
+0.0413169
+0.0421664
+0.0431107
+0.0441435
+0.0452589
+0.0503537
+0.0488384
+0.047376
+0.0459515
+0.044589
+0.0432946
+0.0420744
+0.0409351
+0.0398838
+0.0389093
+0.038006
+0.0372098
+0.0364103
+0.0357175
+0.0351478
+0.0347072
+0.0343911
+0.0341895
+0.0341061
+0.0340905
+0.0336386
+0.0332485
+0.0329694
+0.0328221
+0.0328208
+0.0329373
+0.0331982
+0.0334382
+0.0334835
+0.0336688
+0.0335741
+0.0333068
+0.031422
+0.0295794
+0.0277873
+0.0260562
+0.0243991
+0.022832
+0.0213044
+0.0198231
+0.0183983
+0.0170177
+0.0156869
+0.0145159
+0.0135725
+0.0129082
+0.0125773
+0.0124971
+0.0122685
+0.0122082
+0.0113589
+0.0101089
+0.00848832
+0.00705231
+0.0056658
+0.00462391
+0.0044594
+0.00514865
+0.00653485
+0.00819221
+0.0100499
+0.0115704
+0.0127708
+0.0137903
+0.0149682
+0.0160994
+0.0173042
+0.0183592
+0.0195797
+0.0209364
+0.0224254
+0.0240193
+0.0256885
+0.0273555
+0.0289946
+0.0291557
+0.0292764
+0.0295299
+0.029878
+0.0303572
+0.0309179
+0.0315963
+0.0323746
+0.0332792
+0.0343
+0.0351983
+0.0356581
+0.0359865
+0.0364033
+0.0369101
+0.0375381
+0.0381986
+0.038646
+0.0392109
+0.0398781
+0.0406397
+0.0415031
+0.0424621
+0.0435103
+0.0446415
+0.0495973
+0.0480582
+0.0465712
+0.0451417
+0.0437752
+0.0424562
+0.0412112
+0.0400474
+0.0389721
+0.037982
+0.037069
+0.0362522
+0.0355517
+0.034957
+0.0344348
+0.033985
+0.0336287
+0.0334005
+0.0333151
+0.0333736
+0.0331951
+0.0328647
+0.032601
+0.0324603
+0.0324589
+0.0326051
+0.0328687
+0.0332689
+0.0334911
+0.0336653
+0.0334709
+0.0334194
+0.0325901
+0.0308174
+0.0291016
+0.0274535
+0.0258512
+0.024313
+0.0228203
+0.0213797
+0.0200296
+0.0186295
+0.0173864
+0.0163357
+0.0154816
+0.0149027
+0.0146321
+0.0143591
+0.012888
+0.0115703
+0.00987113
+0.00840267
+0.00730538
+0.00586426
+0.00413677
+0.00261586
+0.00229554
+0.00344232
+0.00516028
+0.00712449
+0.00848104
+0.010004
+0.0110042
+0.0121694
+0.0133728
+0.0146044
+0.0158641
+0.0170834
+0.0183989
+0.0198365
+0.0213929
+0.0230199
+0.0246974
+0.0263695
+0.02806
+0.0288122
+0.0289188
+0.0291416
+0.0294567
+0.0299035
+0.0304726
+0.0311309
+0.0319206
+0.0328376
+0.0336628
+0.034333
+0.0351145
+0.0354479
+0.0358969
+0.0364107
+0.0370445
+0.0376177
+0.0380719
+0.0386347
+0.0392984
+0.040071
+0.0409464
+0.0419181
+0.0429797
+0.0441245
+0.0489055
+0.0473635
+0.0458571
+0.0444046
+0.0430146
+0.0416935
+0.0404479
+0.039262
+0.0381646
+0.0371527
+0.036219
+0.0353826
+0.0346646
+0.0340726
+0.0335947
+0.0332453
+0.0329662
+0.0327374
+0.0326502
+0.0327099
+0.0328533
+0.032564
+0.032354
+0.0322353
+0.0322422
+0.0323894
+0.0326662
+0.0330746
+0.0336141
+0.0337051
+0.0334007
+0.0329852
+0.0327114
+0.0321571
+0.0304978
+0.0288756
+0.0273328
+0.0258414
+0.0243842
+0.0230294
+0.0216016
+0.0203102
+0.0191827
+0.0182191
+0.0174411
+0.0168957
+0.0156629
+0.0140076
+0.0124898
+0.010526
+0.00867159
+0.00697261
+0.00560188
+0.00475217
+0.00319952
+0.00112821
+0.000410939
+0.00225564
+0.00415444
+0.00540178
+0.00696291
+0.00818699
+0.0093938
+0.0105945
+0.0119386
+0.0132566
+0.0145484
+0.0158681
+0.0173458
+0.0188878
+0.0204352
+0.0220918
+0.0238347
+0.0255269
+0.0272696
+0.0285845
+0.0286429
+0.0288508
+0.0291481
+0.029569
+0.0301437
+0.0308146
+0.0316121
+0.0323384
+0.0329084
+0.0335877
+0.0343933
+0.0350382
+0.0355077
+0.0360378
+0.036667
+0.037157
+0.0376059
+0.038162
+0.0388338
+0.0396155
+0.0405007
+0.0414829
+0.0425553
+0.0437112
+0.048287
+0.0467246
+0.0452143
+0.0437617
+0.0423539
+0.0410114
+0.0397445
+0.0385605
+0.0374537
+0.0364335
+0.0354841
+0.0346299
+0.033896
+0.0332904
+0.03282
+0.0324718
+0.0322592
+0.0321831
+0.0320945
+0.0321552
+0.0323644
+0.0323817
+0.0321979
+0.0321351
+0.0321651
+0.032321
+0.0325984
+0.0330076
+0.0335552
+0.0334463
+0.0328858
+0.0324637
+0.0321855
+0.0320305
+0.0319142
+0.0303678
+0.0288788
+0.0274096
+0.0260316
+0.0245794
+0.0231908
+0.0219334
+0.0208312
+0.0199097
+0.0191952
+0.0173992
+0.0156023
+0.0136069
+0.011674
+0.00984973
+0.00784145
+0.00593252
+0.00423672
+0.00312396
+0.00215529
+0.000546822
+-0.00054546
+0.00112802
+0.00237058
+0.00401007
+0.00523032
+0.0064947
+0.00792177
+0.00922671
+0.010758
+0.0121054
+0.0134552
+0.0148501
+0.0164197
+0.0180132
+0.0196297
+0.0213489
+0.0231319
+0.0248494
+0.0266365
+0.0284744
+0.0285157
+0.0286817
+0.0289441
+0.029368
+0.0299227
+0.030502
+0.0312185
+0.0316893
+0.0322745
+0.0329713
+0.0337906
+0.0346939
+0.0352352
+0.0357953
+0.0364176
+0.03681
+0.0372492
+0.0378105
+0.0384884
+0.039277
+0.0401697
+0.0411598
+0.0422403
+0.0434046
+0.047761
+0.0461808
+0.0446522
+0.0431806
+0.0417722
+0.0404306
+0.0391449
+0.0379421
+0.0368305
+0.0358102
+0.0348532
+0.034002
+0.0332543
+0.0326367
+0.0321568
+0.0318029
+0.0315859
+0.03152
+0.0316062
+0.0317422
+0.0319541
+0.0322219
+0.0321631
+0.0321278
+0.032214
+0.0323925
+0.0326776
+0.0330859
+0.0336322
+0.0330539
+0.0324913
+0.032064
+0.0317823
+0.0316452
+0.031635
+0.0317762
+0.0304496
+0.0289737
+0.027458
+0.0260386
+0.024732
+0.0235571
+0.0225344
+0.0209983
+0.018931
+0.0168539
+0.0148096
+0.0128137
+0.0108315
+0.00883484
+0.00695606
+0.00530947
+0.00365596
+0.00211976
+0.000222992
+-0.000733419
+-0.0019169
+-0.000568441
+0.00115135
+0.0021338
+0.00362769
+0.00490576
+0.0064863
+0.00816975
+0.00971699
+0.0112234
+0.0126239
+0.0140902
+0.0157212
+0.0173724
+0.0190434
+0.0208111
+0.0225864
+0.0243508
+0.026172
+0.028046
+0.0285334
+0.0286424
+0.0289051
+0.0292419
+0.0296733
+0.0302511
+0.0306838
+0.0311148
+0.0316813
+0.0323864
+0.0332212
+0.0341762
+0.0350976
+0.0356751
+0.0362396
+0.0365677
+0.0370099
+0.0375747
+0.0382568
+0.0390501
+0.0399479
+0.0409433
+0.0420294
+0.0431994
+0.0473306
+0.0457355
+0.0441915
+0.0427041
+0.0412794
+0.0399242
+0.0386456
+0.0374332
+0.0363061
+0.0352791
+0.0343152
+0.0334589
+0.0327271
+0.0321194
+0.0316316
+0.0312718
+0.0310511
+0.0309841
+0.0310717
+0.0313116
+0.0316733
+0.0320527
+0.0322094
+0.0322421
+0.0323555
+0.0325887
+0.032898
+0.0333084
+0.0334767
+0.0327989
+0.0322319
+0.0318011
+0.0315171
+0.0313838
+0.0313804
+0.0315227
+0.0318156
+0.0303798
+0.0289379
+0.0275947
+0.0263654
+0.0246854
+0.0227826
+0.0206281
+0.0184822
+0.0163482
+0.0142314
+0.0121408
+0.0100928
+0.00811967
+0.00620661
+0.00422933
+0.00254754
+0.000926175
+-0.000343193
+-0.00217713
+-0.00337189
+-0.00171382
+-0.000812206
+0.000560037
+0.0020911
+0.00360805
+0.00555466
+0.0074193
+0.00901912
+0.010712
+0.0121011
+0.0136183
+0.0152997
+0.016974
+0.0186471
+0.02033
+0.0220859
+0.0239136
+0.025798
+0.0276685
+0.0286619
+0.0287297
+0.0288631
+0.0291304
+0.0295568
+0.0298911
+0.0301748
+0.0306022
+0.031178
+0.0318942
+0.0327415
+0.0337101
+0.0347716
+0.0356752
+0.0361234
+0.0364395
+0.0368831
+0.0374499
+0.0381342
+0.03893
+0.0398305
+0.0408288
+0.0419179
+0.0430909
+0.0469518
+0.0453639
+0.043828
+0.0423358
+0.0408982
+0.0395299
+0.0382382
+0.0370206
+0.0358938
+0.0348683
+0.0339095
+0.0330427
+0.0323015
+0.0316881
+0.0312117
+0.0308837
+0.0306638
+0.030596
+0.0306847
+0.0309276
+0.0312938
+0.0317893
+0.0322712
+0.03248
+0.0326165
+0.0328748
+0.0332384
+0.0336675
+0.0333175
+0.0326648
+0.0321201
+0.0316878
+0.0314028
+0.031269
+0.0312656
+0.0314085
+0.0317024
+0.0318746
+0.0305034
+0.0286956
+0.0267823
+0.0247987
+0.0226242
+0.020453
+0.0182866
+0.0161267
+0.0139764
+0.0118409
+0.00972998
+0.00764562
+0.0055502
+0.00350563
+0.00159526
+-5.93863e-05
+-0.00174047
+-0.0033371
+-0.00459418
+-0.00350529
+-0.00230693
+-0.000752611
+0.00132629
+0.0030877
+0.00492516
+0.00681058
+0.00868981
+0.0105939
+0.0119566
+0.0134131
+0.0150089
+0.0166796
+0.0183007
+0.0199997
+0.0217823
+0.0236335
+0.0255386
+0.0274369
+0.0288315
+0.0287674
+0.0288685
+0.0291344
+0.0294051
+0.0295314
+0.0298073
+0.0302399
+0.0308225
+0.0315467
+0.0324032
+0.0333704
+0.0344339
+0.0356006
+0.0361267
+0.0364427
+0.0368863
+0.037453
+0.0381373
+0.038933
+0.0398334
+0.0408316
+0.0419207
+0.0430936
+0.0466602
+0.0450621
+0.0435155
+0.0420263
+0.0406007
+0.0392456
+0.0379451
+0.0367218
+0.0355897
+0.0345554
+0.0336244
+0.0327501
+0.0320021
+0.0313895
+0.0309202
+0.0305906
+0.0304141
+0.0303614
+0.0304508
+0.0306955
+0.0310644
+0.0315636
+0.0321929
+0.0327021
+0.0330208
+0.0332763
+0.0336724
+0.0337371
+0.0330318
+0.0324593
+0.0320224
+0.0317061
+0.031441
+0.0313074
+0.0313041
+0.0314467
+0.0317403
+0.0321807
+0.0309778
+0.0290449
+0.0268948
+0.0247441
+0.0226012
+0.0204683
+0.0183491
+0.0161758
+0.0139881
+0.0118016
+0.00961697
+0.00743588
+0.00525834
+0.0030863
+0.000977471
+-0.000925029
+-0.00285721
+-0.00472138
+-0.00617617
+-0.00506338
+-0.00324516
+-0.0016382
+8.51581e-05
+0.00201317
+0.00379324
+0.00575971
+0.00782409
+0.00994268
+0.0119513
+0.0133643
+0.0149383
+0.0165769
+0.0181684
+0.0198739
+0.0216668
+0.0235272
+0.0254402
+0.0273792
+0.0288853
+0.0289377
+0.0290382
+0.0291508
+0.0291866
+0.0293025
+0.0295806
+0.0300165
+0.0306033
+0.0313326
+0.0321947
+0.0331555
+0.0342256
+0.0353991
+0.0362625
+0.0365773
+0.0370193
+0.037584
+0.038266
+0.0390591
+0.0399566
+0.0409518
+0.0420378
+0.0432075
+0.0464702
+0.0448653
+0.0433117
+0.0418152
+0.0403821
+0.0390195
+0.0377349
+0.0365238
+0.0353939
+0.0343601
+0.0334184
+0.0325671
+0.0318391
+0.0312315
+0.0307637
+0.0304428
+0.0302754
+0.0302561
+0.0303512
+0.030598
+0.0309887
+0.031489
+0.0321198
+0.0328796
+0.0334008
+0.033815
+0.0342051
+0.0335135
+0.0328034
+0.0322268
+0.031791
+0.0315019
+0.0313042
+0.0312592
+0.0313644
+0.0315954
+0.0319202
+0.0323295
+0.0309879
+0.0288097
+0.0266335
+0.0244599
+0.0222896
+0.0201238
+0.017964
+0.0158126
+0.0136738
+0.0115545
+0.00946764
+0.00732106
+0.00515992
+0.00303988
+0.00092809
+-0.00121778
+-0.00330921
+-0.00543314
+-0.00759485
+-0.00611071
+-0.00458376
+-0.00287146
+-0.00102761
+0.00100216
+0.00316571
+0.00531771
+0.00726509
+0.00927787
+0.0113231
+0.0133726
+0.0151522
+0.016715
+0.0182941
+0.0199888
+0.0217723
+0.0236243
+0.0251883
+0.0264857
+0.0278869
+0.0292715
+0.0291418
+0.029024
+0.0290705
+0.0292222
+0.0295011
+0.029938
+0.0305264
+0.0312575
+0.0321216
+0.0330845
+0.0341568
+0.0353326
+0.0365294
+0.036842
+0.0372808
+0.0378416
+0.038519
+0.039307
+0.040199
+0.0411884
+0.0422682
+0.0434208
+0.0463704
+0.0447698
+0.0432181
+0.0417182
+0.0402817
+0.0389156
+0.0376274
+0.0364256
+0.0353056
+0.0342757
+0.0333527
+0.0324997
+0.031775
+0.0311876
+0.030727
+0.0304111
+0.0302456
+0.0302382
+0.030377
+0.0306476
+0.0310422
+0.0315594
+0.0321959
+0.032959
+0.033765
+0.0343532
+0.0342446
+0.0334203
+0.0327081
+0.0321298
+0.0316927
+0.0314027
+0.031234
+0.0311889
+0.0312974
+0.0315549
+0.0319353
+0.0324589
+0.0308491
+0.0286639
+0.0264796
+0.0242965
+0.0221148
+0.0199352
+0.0177582
+0.0155851
+0.0134177
+0.0112594
+0.00909881
+0.00692062
+0.00475393
+0.00262733
+0.000504498
+-0.0016305
+-0.0037462
+-0.00590564
+-0.00808193
+-0.00734204
+-0.00545426
+-0.00331355
+-0.0012129
+0.000778954
+0.00272859
+0.00477115
+0.00683093
+0.00884927
+0.0109177
+0.0130211
+0.0151492
+0.0169161
+0.0186618
+0.0202662
+0.0217018
+0.0230019
+0.0242356
+0.0255814
+0.0270295
+0.0285645
+0.029162
+0.0290443
+0.0290908
+0.0292712
+0.0295839
+0.0300197
+0.0306065
+0.0313357
+0.0321978
+0.0331584
+0.0342284
+0.0354019
+0.0366687
+0.0372338
+0.0376681
+0.0382233
+0.038894
+0.0396745
+0.0405585
+0.0415393
+0.0425915
+0.0436889
+0.0463607
+0.0447596
+0.0432103
+0.0417185
+0.0402907
+0.0389302
+0.0376426
+0.0364413
+0.0353351
+0.0343088
+0.0333921
+0.0325797
+0.0318569
+0.0312711
+0.0308302
+0.0305245
+0.0303596
+0.0303523
+0.0304931
+0.0307791
+0.0312166
+0.031759
+0.0323945
+0.033153
+0.0340357
+0.0348705
+0.0342444
+0.0334341
+0.0327506
+0.032182
+0.0317456
+0.0314561
+0.0313173
+0.0312723
+0.0313805
+0.0316404
+0.0320453
+0.0325676
+0.0307831
+0.0285928
+0.0264026
+0.0242126
+0.0220226
+0.0198328
+0.0176432
+0.015454
+0.0132652
+0.0110772
+0.00889045
+0.00670632
+0.00452854
+0.00236078
+0.000226587
+-0.00163882
+-0.00356521
+-0.00563028
+-0.00776423
+-0.00720888
+-0.00539819
+-0.00348502
+-0.00148561
+0.000440881
+0.00246827
+0.0045347
+0.00664523
+0.00870483
+0.0108078
+0.0129399
+0.0148006
+0.0165167
+0.0180092
+0.0193673
+0.0208342
+0.0221225
+0.0234054
+0.0248156
+0.0263059
+0.0278377
+0.0290811
+0.0289631
+0.0290059
+0.0291861
+0.0295283
+0.0300267
+0.0306616
+0.0314194
+0.0323079
+0.033317
+0.0344257
+0.0355686
+0.0368046
+0.037749
+0.0381774
+0.0387252
+0.0393874
+0.0401584
+0.0409511
+0.041834
+0.042811
+0.0438756
+0.0460065
+0.044842
+0.0432956
+0.0418069
+0.0403822
+0.0390249
+0.0377405
+0.0365424
+0.0354394
+0.0344405
+0.033555
+0.0327668
+0.0320799
+0.0314983
+0.0310607
+0.0307731
+0.0306174
+0.0306102
+0.0307594
+0.0310487
+0.0314824
+0.0320602
+0.0327359
+0.0334867
+0.034361
+0.0352746
+0.034352
+0.0335443
+0.0328631
+0.0323162
+0.0319108
+0.031652
+0.0315237
+0.0315082
+0.0316156
+0.0318736
+0.0322785
+0.032799
+0.0308727
+0.0286893
+0.0265071
+0.0243265
+0.0221478
+0.0199717
+0.0177992
+0.0156318
+0.013472
+0.011324
+0.00919611
+0.00709177
+0.00502185
+0.00309565
+0.00123476
+-0.000922991
+-0.00307626
+-0.00478242
+-0.00597964
+-0.00556768
+-0.0045665
+-0.00287028
+-0.00118756
+0.000641701
+0.00264026
+0.00462639
+0.00667592
+0.00878618
+0.0107755
+0.0127143
+0.0144402
+0.0160003
+0.0172714
+0.0186832
+0.0200672
+0.0213963
+0.0227202
+0.0241704
+0.0256504
+0.0271249
+0.0285955
+0.0288982
+0.0289457
+0.0291511
+0.0294797
+0.0299653
+0.0305998
+0.0313592
+0.0322493
+0.0332585
+0.0343524
+0.0355479
+0.036835
+0.0382044
+0.0387805
+0.039249
+0.0398189
+0.0404901
+0.0412667
+0.0421431
+0.0430761
+0.0440922
+0.0456042
+0.0450309
+0.0434913
+0.0420095
+0.0405919
+0.0392419
+0.0379648
+0.036774
+0.0356781
+0.0346861
+0.0338071
+0.0330502
+0.0323687
+0.0318215
+0.031392
+0.0311075
+0.0309757
+0.0309985
+0.0311682
+0.0314675
+0.0318968
+0.0324673
+0.0331729
+0.0339587
+0.0348211
+0.0354894
+0.0345769
+0.0337816
+0.0331123
+0.0325766
+0.0321749
+0.0319183
+0.0318108
+0.0318125
+0.031948
+0.0322321
+0.0326543
+0.033169
+0.0311167
+0.0289518
+0.0267909
+0.0246354
+0.0224867
+0.0203469
+0.0182192
+0.0161084
+0.0140131
+0.0119374
+0.00991121
+0.00796223
+0.00596341
+0.00383824
+0.00175666
+-0.000226043
+-0.00172705
+-0.00312786
+-0.00401668
+-0.00395421
+-0.00323027
+-0.00224188
+-0.000518164
+0.00116806
+0.00306057
+0.00493489
+0.00672674
+0.00854353
+0.0105039
+0.0124045
+0.0142557
+0.0154785
+0.0167803
+0.0181619
+0.0194607
+0.0208271
+0.0221936
+0.023609
+0.0250512
+0.0265187
+0.0280212
+0.0289991
+0.0290465
+0.0292511
+0.0295787
+0.0300499
+0.0306663
+0.0314237
+0.0323121
+0.0333183
+0.0344104
+0.0356039
+0.036889
+0.0382565
+0.0392574
+0.0396924
+0.0402003
+0.0408197
+0.0415455
+0.0423723
+0.0432645
+0.0442344
+0.0453044
+0.0447485
+0.0437949
+0.042319
+0.040907
+0.0395658
+0.0383031
+0.0371268
+0.0360454
+0.0350667
+0.0341979
+0.0334499
+0.032777
+0.0322367
+0.0318383
+0.0315872
+0.0314599
+0.0314824
+0.0316568
+0.0319685
+0.0324089
+0.0329892
+0.0336879
+0.0344987
+0.035409
+0.035836
+0.0349326
+0.0341456
+0.0334836
+0.0329476
+0.0325499
+0.0322963
+0.03219
+0.0322327
+0.0323897
+0.03267
+0.0330933
+0.0336495
+0.0315115
+0.0293756
+0.0272485
+0.0251322
+0.0230299
+0.0209385
+0.0188616
+0.0168136
+0.0148065
+0.0128524
+0.0107595
+0.00867619
+0.0066348
+0.00461281
+0.00272647
+0.00127695
+-8.48131e-05
+-0.00137845
+-0.00212284
+-0.00248344
+-0.0016883
+-0.000941309
+1.63622e-05
+0.00167619
+0.00334931
+0.0049958
+0.00662952
+0.00846888
+0.0104433
+0.0123534
+0.014076
+0.0152229
+0.0164826
+0.0178087
+0.0190421
+0.0203891
+0.0217707
+0.0231452
+0.0246094
+0.0260686
+0.027573
+0.0291093
+0.0293111
+0.0295046
+0.0298119
+0.030275
+0.030887
+0.031639
+0.0325216
+0.0335215
+0.0346072
+0.0357942
+0.0370727
+0.0384336
+0.0396602
+0.040049
+0.0405206
+0.0410901
+0.0417668
+0.0425456
+0.0434212
+0.0443451
+0.0450937
+0.0445352
+0.0440787
+0.0427226
+0.0413243
+0.0399972
+0.0387486
+0.0375856
+0.0365141
+0.0355454
+0.0346882
+0.0339509
+0.0333196
+0.0327883
+0.0323967
+0.03215
+0.0320514
+0.0320812
+0.0322524
+0.0325704
+0.0330186
+0.0335884
+0.0342889
+0.0351123
+0.0360368
+0.0362884
+0.035408
+0.0346249
+0.0339654
+0.0334366
+0.0330448
+0.0327951
+0.0326905
+0.0327326
+0.0328991
+0.0332031
+0.0336369
+0.0341606
+0.0320515
+0.0299542
+0.0278651
+0.0257877
+0.0237307
+0.0217
+0.0197035
+0.0177472
+0.0156423
+0.0135497
+0.0114937
+0.00949051
+0.00754941
+0.00577471
+0.00424728
+0.0029738
+0.00151387
+0.000522094
+-0.000300495
+-0.000843966
+-0.000410645
+0.000606916
+0.00163491
+0.00255041
+0.00384953
+0.00531656
+0.00702349
+0.00882757
+0.0105606
+0.0123437
+0.0140422
+0.015156
+0.0163971
+0.0175988
+0.018837
+0.0201367
+0.0215182
+0.0228825
+0.0242781
+0.0256541
+0.0268955
+0.0282525
+0.0296283
+0.0298048
+0.0301399
+0.0306142
+0.0312194
+0.0319637
+0.0328375
+0.0338308
+0.034927
+0.0361034
+0.0373714
+0.0387218
+0.0400119
+0.0403513
+0.0408057
+0.0413712
+0.041978
+0.0426876
+0.0434961
+0.0442907
+0.0449629
+0.0444028
+0.0439449
+0.0432336
+0.0418524
+0.0405413
+0.0393064
+0.0381575
+0.0371025
+0.0361496
+0.0353071
+0.0345771
+0.0339516
+0.0334514
+0.0330676
+0.0328259
+0.0327294
+0.0327792
+0.0329657
+0.0332767
+0.0337274
+0.0343124
+0.0350031
+0.0358101
+0.0367302
+0.036813
+0.0359487
+0.0351996
+0.0345522
+0.0340325
+0.0336477
+0.0334024
+0.0332998
+0.0333411
+0.0335045
+0.0338031
+0.0342395
+0.034792
+0.0327144
+0.0306525
+0.0286099
+0.0265908
+0.024601
+0.0225617
+0.0204731
+0.0184083
+0.0163668
+0.0143651
+0.0124178
+0.0105589
+0.00883548
+0.00729355
+0.00594472
+0.00448937
+0.00329947
+0.00235152
+0.00142854
+0.000755656
+0.000940889
+0.00172835
+0.00302301
+0.00387851
+0.00480315
+0.0059207
+0.00739352
+0.00891515
+0.0105306
+0.0122118
+0.0138476
+0.0153328
+0.0164274
+0.017628
+0.018844
+0.020121
+0.0213522
+0.0223126
+0.023381
+0.0245419
+0.0258368
+0.0272465
+0.0287542
+0.0302578
+0.0305879
+0.0310694
+0.0316816
+0.0324152
+0.0332771
+0.0342577
+0.035347
+0.0365292
+0.0377829
+0.0391191
+0.0403995
+0.040667
+0.0410498
+0.0415448
+0.0420112
+0.0425462
+0.043186
+0.0439049
+0.0449387
+0.0443783
+0.0439202
+0.0435675
+0.0424796
+0.0411864
+0.0399715
+0.0388423
+0.0378064
+0.0368717
+0.0360461
+0.0353163
+0.0347041
+0.0342215
+0.0338672
+0.0336312
+0.033537
+0.0335857
+0.0337767
+0.0340999
+0.0345399
+0.0351113
+0.0358078
+0.0366223
+0.037526
+0.0374587
+0.0366095
+0.0358742
+0.0352482
+0.0347389
+0.034362
+0.0341219
+0.0340214
+0.0340618
+0.0342397
+0.0345319
+0.0349592
+0.035511
+0.0334947
+0.031484
+0.029485
+0.0273971
+0.0253065
+0.0232344
+0.0211861
+0.0191694
+0.0171952
+0.0152802
+0.0134433
+0.011692
+0.010112
+0.00874421
+0.00749274
+0.00622322
+0.0050569
+0.00394202
+0.00290912
+0.00231866
+0.00235512
+0.00298969
+0.00425266
+0.00551395
+0.00618445
+0.00699218
+0.00810912
+0.0093779
+0.0108701
+0.0123071
+0.0139031
+0.0156357
+0.0166981
+0.0177761
+0.0186519
+0.0193285
+0.0201499
+0.0211671
+0.022351
+0.0235706
+0.0249161
+0.026375
+0.0279298
+0.0294711
+0.0310796
+0.0316562
+0.0322707
+0.0330038
+0.0338507
+0.0348151
+0.0358875
+0.0370584
+0.0383154
+0.0396337
+0.0406942
+0.0407945
+0.0409956
+0.0413121
+0.0417413
+0.0422798
+0.0429022
+0.0436255
+0.0450212
+0.0444619
+0.0440046
+0.0436525
+0.0431946
+0.0419235
+0.0407306
+0.039623
+0.0386081
+0.0376933
+0.036886
+0.0361732
+0.0355758
+0.0351051
+0.0347664
+0.0345569
+0.0344652
+0.0345126
+0.0346985
+0.0350207
+0.0354594
+0.0360163
+0.0366958
+0.0374911
+0.0383952
+0.0382191
+0.0373872
+0.0366676
+0.0360553
+0.0355576
+0.0351895
+0.034955
+0.0348569
+0.0348964
+0.0350729
+0.0353787
+0.0357816
+0.0357536
+0.0342034
+0.032143
+0.0300632
+0.0279966
+0.0259493
+0.0239275
+0.0219381
+0.0199908
+0.0180993
+0.016283
+0.0145651
+0.0129603
+0.0115497
+0.010351
+0.0091951
+0.00792579
+0.00656397
+0.00526982
+0.00430111
+0.00385601
+0.00384663
+0.00430818
+0.0053337
+0.00675613
+0.00763761
+0.00826144
+0.00907348
+0.0101676
+0.011378
+0.0127515
+0.0142922
+0.0148451
+0.0154913
+0.0163625
+0.017442
+0.0182345
+0.019103
+0.0201657
+0.0213745
+0.0227306
+0.0241594
+0.0256614
+0.0272261
+0.028802
+0.0304376
+0.0321364
+0.0329102
+0.0336446
+0.0345028
+0.0354754
+0.0365283
+0.0376794
+0.0389198
+0.0402414
+0.0405504
+0.0406348
+0.0408367
+0.0411545
+0.0415853
+0.0421042
+0.0427288
+0.0434549
+0.0452098
+0.0446528
+0.0441975
+0.0438471
+0.043604
+0.0427602
+0.0415914
+0.0405073
+0.0395151
+0.0386218
+0.0378343
+0.037135
+0.0365533
+0.0360954
+0.035766
+0.0355683
+0.0354792
+0.0355252
+0.0357059
+0.0360191
+0.0364614
+0.037012
+0.0376736
+0.0384487
+0.0393307
+0.0390877
+0.0382747
+0.037572
+0.0369747
+0.0364896
+0.0361309
+0.0359026
+0.0358072
+0.0358456
+0.0360174
+0.0363153
+0.036231
+0.0345701
+0.0329711
+0.0314399
+0.0299792
+0.0285655
+0.0267306
+0.0247726
+0.0228569
+0.020995
+0.0192027
+0.0174866
+0.0158749
+0.0144166
+0.0131629
+0.0120792
+0.0108034
+0.0093951
+0.00784412
+0.00658169
+0.00571652
+0.00523374
+0.005157
+0.00555275
+0.00641735
+0.0077283
+0.00918036
+0.00958841
+0.0102212
+0.0111479
+0.0122391
+0.0123531
+0.0124078
+0.0128206
+0.0135597
+0.0145471
+0.0157778
+0.0171331
+0.0182198
+0.0193276
+0.0205856
+0.0219904
+0.0235153
+0.0250704
+0.0266489
+0.0282576
+0.0299199
+0.0316465
+0.0334276
+0.0343833
+0.0352261
+0.0361795
+0.0372375
+0.0383696
+0.0395884
+0.0405242
+0.0404903
+0.0405749
+0.0407771
+0.0410953
+0.0415225
+0.0420417
+0.0426672
+0.0433944
+0.0455033
+0.0449499
+0.0444976
+0.0441496
+0.0439081
+0.0436909
+0.0425476
+0.0414885
+0.0405204
+0.0396497
+0.0388777
+0.038197
+0.0376317
+0.0371871
+0.0368674
+0.0366761
+0.0365955
+0.0366401
+0.0368153
+0.0371191
+0.0375485
+0.0380993
+0.0387506
+0.0395046
+0.0403636
+0.040044
+0.039243
+0.0385501
+0.037971
+0.0375111
+0.0371628
+0.0369409
+0.0368481
+0.0368854
+0.0370524
+0.0369627
+0.0352001
+0.0334882
+0.0318349
+0.03025
+0.0287282
+0.027178
+0.0257212
+0.0243609
+0.0231237
+0.0220354
+0.0204602
+0.0188481
+0.0173631
+0.0160407
+0.0149133
+0.0137563
+0.0122215
+0.0106315
+0.0091929
+0.00801275
+0.00706945
+0.00647679
+0.00645532
+0.00686427
+0.0076085
+0.0087668
+0.0102222
+0.0110707
+0.011567
+0.0112028
+0.0105241
+0.0102449
+0.0103703
+0.0108608
+0.0117197
+0.0128492
+0.0141879
+0.0156812
+0.0173235
+0.0187096
+0.0200002
+0.0214326
+0.0229814
+0.0245921
+0.0262189
+0.0278499
+0.0295533
+0.0313015
+0.0330966
+0.0349368
+0.0360141
+0.0369723
+0.0380145
+0.0391456
+0.0403626
+0.0405777
+0.0405439
+0.0406283
+0.0408303
+0.0411481
+0.0415748
+0.0420933
+0.0427181
+0.0434445
+0.0458582
+0.045345
+0.0448967
+0.0445517
+0.0443125
+0.0441808
+0.043593
+0.04256
+0.0416168
+0.0407695
+0.0400134
+0.0393524
+0.0388039
+0.0383729
+0.0380632
+0.0378779
+0.0378059
+0.0378491
+0.0380187
+0.038313
+0.0387292
+0.0392633
+0.0399001
+0.0406419
+0.0414862
+0.0410176
+0.040236
+0.0395604
+0.0389963
+0.0385461
+0.0382068
+0.037991
+0.0379008
+0.037937
+0.037914
+0.0360778
+0.0342785
+0.032518
+0.0308128
+0.0291724
+0.0275239
+0.0259017
+0.0243688
+0.0229428
+0.0216292
+0.0204615
+0.019471
+0.0186856
+0.0181021
+0.0177619
+0.0166732
+0.0151225
+0.013498
+0.0119046
+0.0104925
+0.00930256
+0.00837971
+0.0078251
+0.00770519
+0.00809498
+0.00885065
+0.00993515
+0.0112644
+0.0116149
+0.0103584
+0.00931746
+0.00849381
+0.00817901
+0.00834162
+0.00900134
+0.0100199
+0.0112914
+0.0127771
+0.0144161
+0.0159221
+0.0175118
+0.0192127
+0.0210009
+0.0226398
+0.0242532
+0.0259355
+0.0275991
+0.0293171
+0.0310786
+0.0328858
+0.0347372
+0.0365802
+0.0378287
+0.0388658
+0.0399787
+0.0408807
+0.0407492
+0.0407155
+0.0407996
+0.0410007
+0.0413171
+0.0417421
+0.0422586
+0.042881
+0.0436046
+0.0462749
+0.0457715
+0.0453634
+0.045022
+0.0447853
+0.0446549
+0.0446318
+0.0437137
+0.0427949
+0.0419705
+0.0412254
+0.0405841
+0.0400525
+0.039635
+0.0393353
+0.039156
+0.0390987
+0.0391431
+0.0393071
+0.0395918
+0.0399947
+0.0405122
+0.04113
+0.0418499
+0.0426704
+0.0420827
+0.0413213
+0.0406637
+0.0401152
+0.0396748
+0.0393452
+0.0391356
+0.0390481
+0.0390717
+0.0371636
+0.0352883
+0.0334514
+0.0316596
+0.0299129
+0.0281317
+0.0264121
+0.0247491
+0.023145
+0.0216385
+0.0202485
+0.0189961
+0.0179249
+0.0170643
+0.0164177
+0.0160464
+0.0159697
+0.0161492
+0.0145402
+0.0130846
+0.01171
+0.0104954
+0.00961599
+0.00910625
+0.0090521
+0.00941165
+0.0100847
+0.0110715
+0.0115659
+0.00997574
+0.00854974
+0.00737934
+0.00656168
+0.00616308
+0.00640342
+0.00713522
+0.00831056
+0.00977401
+0.0114598
+0.0130002
+0.0145793
+0.0162904
+0.0181022
+0.0199899
+0.02193
+0.0238882
+0.0256847
+0.0273657
+0.0291146
+0.0308435
+0.0326041
+0.0344141
+0.0362662
+0.0381542
+0.0398021
+0.0409065
+0.0410094
+0.0408813
+0.0408525
+0.0409363
+0.0411367
+0.0414521
+0.0418799
+0.0424167
+0.0430583
+0.0438002
+0.0467905
+0.0462927
+0.0458942
+0.0455925
+0.0453588
+0.0452301
+0.0452073
+0.0449253
+0.0440318
+0.0432309
+0.0425079
+0.0418863
+0.0413714
+0.0409674
+0.0406775
+0.0405042
+0.0404489
+0.0405082
+0.0406667
+0.040942
+0.0413317
+0.0418327
+0.0424373
+0.0431355
+0.0439319
+0.0432328
+0.0424919
+0.0418528
+0.04132
+0.0408897
+0.04057
+0.0403668
+0.0402819
+0.0384688
+0.0365293
+0.0346197
+0.0327453
+0.0309113
+0.0290262
+0.0271869
+0.0254034
+0.0236828
+0.0220208
+0.0204554
+0.0189841
+0.0176416
+0.0164819
+0.0155289
+0.0148346
+0.0144214
+0.0143164
+0.0145445
+0.0150516
+0.0142704
+0.0129763
+0.0118926
+0.0111188
+0.0106425
+0.0105317
+0.0108203
+0.0114527
+0.0122248
+0.0103142
+0.0085032
+0.00687818
+0.00548509
+0.00450815
+0.0040872
+0.0043432
+0.00527102
+0.00670149
+0.00842576
+0.0101183
+0.0117117
+0.013443
+0.0152819
+0.0172002
+0.0191604
+0.0211483
+0.0231708
+0.0252033
+0.0270535
+0.0288214
+0.0306275
+0.0323999
+0.0342075
+0.0360187
+0.03787
+0.0397532
+0.0414969
+0.0412542
+0.0411269
+0.0410982
+0.0411815
+0.0413808
+0.0416943
+0.0421197
+0.0426534
+0.0432915
+0.0440295
+0.0474019
+0.0469105
+0.0465173
+0.0462246
+0.0460296
+0.0459027
+0.0458803
+0.0459623
+0.0453408
+0.0445635
+0.0438625
+0.0432603
+0.042762
+0.0423712
+0.042091
+0.0419235
+0.0418701
+0.0419313
+0.0420965
+0.0423625
+0.0427392
+0.0432239
+0.0438128
+0.0444918
+0.0452644
+0.044461
+0.043741
+0.0431204
+0.0426035
+0.0421835
+0.0418737
+0.0416769
+0.0399517
+0.037983
+0.0360172
+0.034079
+0.0321731
+0.0302133
+0.0282817
+0.0263905
+0.0245493
+0.0227642
+0.0210374
+0.0193961
+0.0178432
+0.0164362
+0.0151874
+0.0141378
+0.0133634
+0.0129067
+0.0127893
+0.0130321
+0.0135958
+0.0144726
+0.0142565
+0.0132621
+0.0125221
+0.012108
+0.0120107
+0.0122258
+0.0127517
+0.0112613
+0.00926683
+0.00735787
+0.00548036
+0.00378145
+0.00248842
+0.0019803
+0.00237388
+0.00367218
+0.00546412
+0.00724633
+0.00895191
+0.0107193
+0.0125879
+0.0145187
+0.0165053
+0.0185206
+0.0205477
+0.0226038
+0.0243844
+0.0260269
+0.0277087
+0.0294361
+0.0312167
+0.0330466
+0.0349174
+0.0368118
+0.0387366
+0.0406884
+0.041613
+0.0414868
+0.0414584
+0.041541
+0.0417385
+0.0420494
+0.0424712
+0.0430006
+0.0436336
+0.0443659
+0.0481053
+0.0476212
+0.0472339
+0.0469457
+0.0467585
+0.0466686
+0.0466465
+0.0467272
+0.046716
+0.0459619
+0.0452825
+0.0446995
+0.0442174
+0.0438396
+0.0435688
+0.043407
+0.0433555
+0.0434146
+0.0435838
+0.0438464
+0.0442106
+0.0446792
+0.0452492
+0.0459126
+0.0465531
+0.0457613
+0.045062
+0.0444566
+0.0439448
+0.0435374
+0.0432373
+0.0415715
+0.0395872
+0.0376186
+0.0356328
+0.0336724
+0.0316601
+0.029661
+0.0276909
+0.0257564
+0.0238663
+0.0220023
+0.0201993
+0.0184739
+0.0168362
+0.0153372
+0.0140056
+0.012892
+0.0120629
+0.0115494
+0.0114181
+0.0116936
+0.0123136
+0.0132494
+0.0144591
+0.0147237
+0.0140392
+0.0136299
+0.0135386
+0.0137362
+0.0126442
+0.0105324
+0.00846065
+0.00642088
+0.00439245
+0.00248814
+0.000688606
+-0.000134494
+0.000774159
+0.00240223
+0.00425348
+0.00616958
+0.00817958
+0.010071
+0.0120109
+0.0140022
+0.0160179
+0.0180736
+0.0198238
+0.02137
+0.0230194
+0.0247147
+0.0264502
+0.0282491
+0.0301
+0.0319822
+0.0338982
+0.0358456
+0.0378197
+0.0398165
+0.0418326
+0.0419582
+0.0419301
+0.0420117
+0.0422071
+0.0425146
+0.0429318
+0.0434555
+0.0440821
+0.044807
+0.0488968
+0.0484207
+0.0480398
+0.0477565
+0.0475725
+0.0474889
+0.0475015
+0.0475808
+0.0477429
+0.0474203
+0.0467621
+0.0461977
+0.0457315
+0.0453663
+0.0451047
+0.0449484
+0.0448986
+0.0449557
+0.0451191
+0.0453782
+0.0457301
+0.0461834
+0.046735
+0.0473816
+0.0478773
+0.0471135
+0.0464357
+0.0458414
+0.0453453
+0.0449506
+0.0433483
+0.0413332
+0.0393369
+0.0373576
+0.0353573
+0.0333097
+0.0312791
+0.0292561
+0.0272497
+0.0252738
+0.0233343
+0.0214196
+0.0195565
+0.0177682
+0.0160666
+0.0144882
+0.0130541
+0.0118514
+0.0109584
+0.0103725
+0.0102261
+0.0105281
+0.0112228
+0.0122422
+0.0135422
+0.0150502
+0.0156181
+0.0152309
+0.0151052
+0.014333
+0.0121744
+0.0100297
+0.00788627
+0.00573719
+0.0036141
+0.00158016
+-0.000452415
+-0.00214257
+-0.000553037
+0.00140939
+0.00345259
+0.00552919
+0.00766042
+0.00964287
+0.0116667
+0.0135649
+0.0154127
+0.0168481
+0.0183835
+0.0200384
+0.0217227
+0.0234746
+0.0252857
+0.0271507
+0.0290612
+0.0310088
+0.0329869
+0.0349902
+0.0370099
+0.0390481
+0.041102
+0.0424606
+0.0424501
+0.0425526
+0.0427672
+0.0430862
+0.0434979
+0.044015
+0.0446336
+0.0453498
+0.0497723
+0.0493046
+0.0489306
+0.0486525
+0.0484718
+0.0483898
+0.0484069
+0.0485183
+0.0486772
+0.0489245
+0.0482921
+0.0477458
+0.0472948
+0.0469418
+0.046689
+0.0465381
+0.04649
+0.0465451
+0.046703
+0.0469571
+0.0472972
+0.0477356
+0.0482695
+0.0488959
+0.0492634
+0.0485215
+0.0478636
+0.0472873
+0.0459388
+0.0444016
+0.0429088
+0.0412102
+0.0392076
+0.0372145
+0.0351364
+0.0330728
+0.0310267
+0.0289861
+0.0269596
+0.024954
+0.02296
+0.0210052
+0.0191017
+0.0172636
+0.015498
+0.0138365
+0.0123246
+0.0110428
+0.0100543
+0.00941074
+0.00925201
+0.00956044
+0.0103303
+0.0114296
+0.0128123
+0.014397
+0.0161241
+0.0168655
+0.0163604
+0.0141721
+0.0119845
+0.0097984
+0.0076149
+0.00543368
+0.00325251
+0.00108358
+-0.00103465
+-0.00277635
+-0.000884911
+0.00113022
+0.003165
+0.00508818
+0.00703348
+0.00892152
+0.0108607
+0.0125205
+0.0139088
+0.0154411
+0.0170389
+0.0187166
+0.020487
+0.022323
+0.024218
+0.0261593
+0.0281371
+0.0301445
+0.0321757
+0.0342267
+0.0362939
+0.0383749
+0.0404209
+0.0423792
+0.0430479
+0.043149
+0.0433606
+0.0436812
+0.0441085
+0.0446392
+0.0452699
+0.0459906
+0.0507273
+0.0502685
+0.0499017
+0.049629
+0.049452
+0.0493716
+0.0493883
+0.0495021
+0.0496907
+0.049933
+0.049867
+0.0493381
+0.0489018
+0.0485605
+0.0483161
+0.0481703
+0.0481239
+0.0481771
+0.0483297
+0.0485806
+0.0489123
+0.0493363
+0.0498531
+0.0504598
+0.0507064
+0.0499858
+0.048495
+0.0468611
+0.045261
+0.0437
+0.0421851
+0.0407318
+0.0391728
+0.0371321
+0.0350491
+0.0329801
+0.0309278
+0.0288645
+0.0268179
+0.0247935
+0.0227855
+0.0208081
+0.0188638
+0.0169793
+0.0151611
+0.0134428
+0.011881
+0.0105356
+0.00949727
+0.00884725
+0.00867513
+0.00903074
+0.00980613
+0.010964
+0.0124
+0.0140313
+0.0157986
+0.0176562
+0.0164881
+0.0143127
+0.0121428
+0.00998189
+0.00783758
+0.00572358
+0.0036527
+0.00171658
+1.42551e-05
+-0.000922945
+-0.000257215
+0.001175
+0.0028633
+0.00460862
+0.00643931
+0.00814127
+0.0096835
+0.011054
+0.0125206
+0.0140554
+0.0157461
+0.0175346
+0.0194026
+0.0213321
+0.0233078
+0.0253189
+0.0273576
+0.0294182
+0.0314963
+0.0335863
+0.0356832
+0.0377599
+0.0397286
+0.0417194
+0.0437294
+0.0438468
+0.0440551
+0.0443707
+0.0447913
+0.0453141
+0.0459355
+0.0466516
+0.0517575
+0.0513079
+0.0509486
+0.0506815
+0.0505081
+0.0504294
+0.0504458
+0.0505572
+0.0507507
+0.0510134
+0.0513452
+0.0509749
+0.0505527
+0.0502225
+0.0499864
+0.0498454
+0.0498005
+0.049852
+0.0499994
+0.0502421
+0.0505707
+0.050981
+0.0514812
+0.0520689
+0.0513803
+0.0496481
+0.0479535
+0.0463006
+0.0446804
+0.0430983
+0.0415616
+0.0400857
+0.0385727
+0.0369675
+0.0350986
+0.0330327
+0.030957
+0.0288895
+0.0268311
+0.0247824
+0.0227577
+0.0207668
+0.0188204
+0.0169266
+0.0150918
+0.0133646
+0.0117924
+0.0104357
+0.00938625
+0.00872796
+0.00855345
+0.00892253
+0.00969864
+0.0108679
+0.0123152
+0.0139564
+0.0157321
+0.0175985
+0.0168516
+0.0147293
+0.0126195
+0.0105415
+0.0085202
+0.00660763
+0.00474583
+0.00306977
+0.00165541
+0.000558442
+0.000709505
+0.00160671
+0.00280252
+0.00414715
+0.00562653
+0.00694841
+0.00831007
+0.00961777
+0.0111345
+0.0128295
+0.0146424
+0.0165469
+0.0185149
+0.020528
+0.0225742
+0.0246452
+0.0267273
+0.0288238
+0.0309333
+0.0330534
+0.0351706
+0.0371473
+0.0391468
+0.0411658
+0.0432015
+0.0446348
+0.0448395
+0.0451496
+0.0455631
+0.0460771
+0.0466883
+0.047393
+0.0528584
+0.0524182
+0.0520666
+0.0518053
+0.0516357
+0.0515587
+0.0515747
+0.0516837
+0.051873
+0.05213
+0.0524773
+0.0526519
+0.0522432
+0.0519239
+0.0516954
+0.0515592
+0.0515158
+0.0515655
+0.0517081
+0.0519427
+0.0522682
+0.0526653
+0.0531498
+0.0527437
+0.0509638
+0.049217
+0.047507
+0.0458379
+0.0442008
+0.042601
+0.0410457
+0.0395505
+0.0380869
+0.0364629
+0.0348928
+0.0331985
+0.0311129
+0.0290339
+0.0269725
+0.0249333
+0.022922
+0.0209467
+0.0190186
+0.0171423
+0.0153334
+0.0136368
+0.0121001
+0.010766
+0.00971982
+0.00908885
+0.0089214
+0.00925012
+0.010032
+0.0111918
+0.0126006
+0.0142089
+0.0159565
+0.0178023
+0.0174585
+0.015401
+0.013318
+0.011264
+0.00925966
+0.0073366
+0.00556373
+0.00405641
+0.00266879
+0.00187282
+0.00174028
+0.00212071
+0.0028064
+0.00368101
+0.00465296
+0.00574521
+0.00684495
+0.00829826
+0.0100025
+0.0118548
+0.0137963
+0.0158032
+0.0178487
+0.0199159
+0.022007
+0.0241158
+0.0262381
+0.0283707
+0.0305115
+0.032659
+0.0346508
+0.0366556
+0.0386805
+0.0407226
+0.0427795
+0.044849
+0.0457039
+0.0460082
+0.046414
+0.0469187
+0.0475191
+0.0482117
+0.0540257
+0.0535952
+0.0532513
+0.0529959
+0.0528301
+0.0527548
+0.0527705
+0.0528676
+0.0530469
+0.0533133
+0.053653
+0.0540793
+0.0539698
+0.0536607
+0.0534397
+0.0533079
+0.0532659
+0.053314
+0.0534519
+0.053679
+0.053994
+0.0543858
+0.0542393
+0.0524297
+0.0506387
+0.0488803
+0.0471581
+0.0454763
+0.0438257
+0.0422117
+0.0406414
+0.0391308
+0.0376871
+0.0360645
+0.0344905
+0.0329774
+0.0313865
+0.0293269
+0.0272877
+0.0252738
+0.023292
+0.0213399
+0.019428
+0.0175813
+0.0158226
+0.0141847
+0.0127143
+0.0114521
+0.0104746
+0.00988877
+0.00973509
+0.0100403
+0.0107649
+0.0118532
+0.0131916
+0.0147355
+0.0164271
+0.0182254
+0.0177251
+0.0156523
+0.0136087
+0.0116182
+0.00971421
+0.0079576
+0.00638159
+0.00513507
+0.00397271
+0.00333763
+0.00284609
+0.00278102
+0.0029609
+0.00340101
+0.00390065
+0.00449884
+0.00572771
+0.00737547
+0.00925131
+0.0112092
+0.0132257
+0.0152902
+0.0173856
+0.019502
+0.0216331
+0.0237728
+0.0259187
+0.0280714
+0.0302295
+0.0322547
+0.0342598
+0.036285
+0.0383192
+0.0403698
+0.0424345
+0.0445019
+0.0465184
+0.0469533
+0.0473511
+0.0478459
+0.0484348
+0.0491145
+0.0552553
+0.0548344
+0.0544984
+0.0542488
+0.0540869
+0.0540072
+0.0540053
+0.0540922
+0.0542674
+0.0545302
+0.0548736
+0.0552905
+0.055729
+0.0554297
+0.0552158
+0.0550882
+0.0550476
+0.0550941
+0.0552276
+0.0554474
+0.0557524
+0.0558469
+0.0540057
+0.0521914
+0.0504036
+0.0486401
+0.0469091
+0.0452179
+0.0435576
+0.0419333
+0.0403522
+0.0388303
+0.037375
+0.0357901
+0.0342035
+0.0326773
+0.0312245
+0.0297786
+0.0277726
+0.025786
+0.023828
+0.0219142
+0.0200571
+0.0182741
+0.016589
+0.0150348
+0.0136563
+0.0124896
+0.0115999
+0.0110585
+0.0109213
+0.0112093
+0.0118627
+0.0128584
+0.0141017
+0.0155556
+0.0171666
+0.0188946
+0.0181653
+0.0161487
+0.0141837
+0.0122953
+0.0105051
+0.00886913
+0.00749776
+0.0062818
+0.00536397
+0.00492277
+0.00413412
+0.00356651
+0.00345539
+0.00312569
+0.00307897
+0.00382957
+0.00521166
+0.00697625
+0.00888526
+0.0108805
+0.0129392
+0.0150321
+0.0171373
+0.0192616
+0.0213993
+0.0235468
+0.0257015
+0.0278619
+0.0298934
+0.0318839
+0.0338991
+0.0359348
+0.0379878
+0.0400554
+0.0421355
+0.0441749
+0.0462056
+0.04798
+0.0483693
+0.0488537
+0.0494307
+0.0500968
+0.0565431
+0.0561318
+0.0558036
+0.0555568
+0.0553819
+0.0552933
+0.0552915
+0.0553764
+0.0555476
+0.0558043
+0.0561445
+0.0565521
+0.057041
+0.0572235
+0.0570163
+0.0568928
+0.0568534
+0.0568985
+0.0570277
+0.0572406
+0.0575361
+0.0557063
+0.0538602
+0.0520409
+0.0502477
+0.0484825
+0.0467533
+0.0450642
+0.0433986
+0.0417681
+0.0401805
+0.0386519
+0.0371896
+0.0356485
+0.0340553
+0.0325222
+0.0310621
+0.029692
+0.0283918
+0.0264453
+0.02454
+0.0226864
+0.020898
+0.0191933
+0.0175964
+0.0161395
+0.0148638
+0.0137996
+0.0129999
+0.0125057
+0.0123845
+0.0126475
+0.0132349
+0.0141343
+0.015274
+0.0166257
+0.0181419
+0.0197849
+0.0188198
+0.0168775
+0.0150037
+0.013227
+0.0115611
+0.0100164
+0.00857665
+0.0073515
+0.00647403
+0.00587206
+0.00519535
+0.0045272
+0.00377644
+0.00281065
+0.00289312
+0.00370346
+0.00506959
+0.00681305
+0.0087591
+0.0107989
+0.0128508
+0.0149422
+0.0170586
+0.0191916
+0.0213363
+0.0234895
+0.0256491
+0.0276506
+0.0296298
+0.0316369
+0.0336669
+0.0357159
+0.0377808
+0.0398591
+0.0419296
+0.0439548
+0.0459952
+0.0480489
+0.0494636
+0.0499374
+0.050502
+0.0511542
+0.057869
+0.0574672
+0.0571466
+0.0568923
+0.0567215
+0.056635
+0.0566332
+0.0567161
+0.0568833
+0.057134
+0.0574673
+0.0578693
+0.0583471
+0.0589025
+0.0588367
+0.058717
+0.0586789
+0.0587226
+0.0588478
+0.0590541
+0.0575236
+0.0556516
+0.0538036
+0.0519824
+0.0501871
+0.0484196
+0.0466881
+0.0449966
+0.0433498
+0.0417174
+0.0401278
+0.0385971
+0.0371327
+0.0356413
+0.0340477
+0.0325142
+0.0310538
+0.0296833
+0.0283975
+0.0272145
+0.0254215
+0.023637
+0.0219263
+0.0203081
+0.0188061
+0.0174505
+0.0162779
+0.0153123
+0.0145844
+0.0141454
+0.0140384
+0.0142709
+0.0148054
+0.0156145
+0.0166533
+0.0179011
+0.0193175
+0.0208682
+0.0194774
+0.0175905
+0.0157751
+0.0140472
+0.0124301
+0.010925
+0.00961819
+0.00846591
+0.00759347
+0.00704729
+0.00630961
+0.00554981
+0.00413221
+0.00330766
+0.00337167
+0.00412775
+0.00543307
+0.00711818
+0.00901769
+0.0110257
+0.0130834
+0.0151715
+0.0172598
+0.0193706
+0.0214975
+0.023636
+0.0255869
+0.0275402
+0.0295268
+0.0315405
+0.0335763
+0.0356305
+0.0377001
+0.0397826
+0.0418125
+0.0438432
+0.0458886
+0.0479468
+0.0500141
+0.0510921
+0.0516441
+0.052282
+0.0592367
+0.0588443
+0.0585278
+0.0582795
+0.0581129
+0.0580285
+0.0580267
+0.0581076
+0.0582708
+0.0585156
+0.058841
+0.0592381
+0.059705
+0.0602479
+0.0606816
+0.0605656
+0.0605286
+0.060571
+0.0606924
+0.0594469
+0.057554
+0.0556831
+0.0538362
+0.0520161
+0.050222
+0.0484558
+0.0467256
+0.0450356
+0.0433903
+0.0417793
+0.0401947
+0.0386666
+0.0372049
+0.0357637
+0.0341808
+0.0326536
+0.0311997
+0.0298359
+0.028557
+0.0273809
+0.0262846
+0.024734
+0.0231047
+0.021575
+0.0201676
+0.0189099
+0.0178335
+0.0169456
+0.016277
+0.0158848
+0.0157896
+0.0159966
+0.0164946
+0.0172279
+0.0181747
+0.0193246
+0.0206435
+0.0220125
+0.0201305
+0.0183172
+0.0165727
+0.0149368
+0.0134193
+0.0120433
+0.0108102
+0.00965433
+0.00879253
+0.00828371
+0.00751963
+0.00642308
+0.00526015
+0.00458348
+0.00455936
+0.00523474
+0.00639005
+0.00791357
+0.00968575
+0.0115913
+0.0135722
+0.0156093
+0.0176832
+0.0197727
+0.0218745
+0.0237492
+0.0256554
+0.0276038
+0.0295862
+0.031596
+0.0336285
+0.0356746
+0.0377337
+0.0397963
+0.0418101
+0.0438409
+0.0458863
+0.0479447
+0.0500121
+0.0520883
+0.0528424
+0.0534661
+0.0606527
+0.0602695
+0.0599573
+0.059715
+0.0595523
+0.0594699
+0.0594682
+0.0595471
+0.0597064
+0.0599454
+0.060263
+0.0606552
+0.0611112
+0.0616418
+0.062245
+0.0624363
+0.0624004
+0.0624415
+0.0614662
+0.059557
+0.0576678
+0.0558006
+0.0539578
+0.0521419
+0.0503523
+0.0485909
+0.0468657
+0.0451808
+0.043541
+0.0419358
+0.0403662
+0.0388445
+0.0373893
+0.0359897
+0.0344496
+0.0329383
+0.0314976
+0.0301473
+0.0288822
+0.0277199
+0.0266378
+0.0256379
+0.0244192
+0.0229772
+0.0216611
+0.0204952
+0.0195039
+0.0186714
+0.0180668
+0.0177142
+0.0176289
+0.0178146
+0.0182631
+0.0189488
+0.0198136
+0.0208733
+0.0221
+0.0227852
+0.0209733
+0.0192191
+0.0175579
+0.0160195
+0.0145893
+0.013249
+0.0119854
+0.0109116
+0.0101259
+0.00957888
+0.00888454
+0.00780322
+0.0068122
+0.00631319
+0.00626661
+0.00678298
+0.00775568
+0.00909249
+0.0106798
+0.0124436
+0.0143259
+0.0162696
+0.0182564
+0.0202852
+0.0221773
+0.0240149
+0.0259074
+0.0278402
+0.0298003
+0.0317871
+0.033799
+0.035832
+0.0378825
+0.0399141
+0.0419223
+0.0439479
+0.0459886
+0.0480425
+0.0501059
+0.0521784
+0.0540934
+0.0547028
+0.0621138
+0.0617396
+0.0614316
+0.0611952
+0.0610364
+0.0609561
+0.0609544
+0.0610314
+0.0611868
+0.06142
+0.0617301
+0.0621159
+0.0625627
+0.063081
+0.0636705
+0.0643272
+0.0642924
+0.0635725
+0.0616506
+0.0597473
+0.0578643
+0.0560037
+0.0541678
+0.0523592
+0.0505773
+0.048824
+0.0471073
+0.0454314
+0.043801
+0.0422057
+0.0406465
+0.0391358
+0.0376918
+0.0363038
+0.0348311
+0.0333548
+0.0319328
+0.0306017
+0.0293676
+0.0282253
+0.0271638
+0.0261839
+0.0253559
+0.0244953
+0.0232653
+0.0221839
+0.0212485
+0.0204862
+0.0199367
+0.0196178
+0.0195408
+0.0197085
+0.0201148
+0.0207457
+0.0215507
+0.0225289
+0.0236699
+0.0237127
+0.021958
+0.0202526
+0.0186339
+0.0171006
+0.0157097
+0.0144984
+0.0133457
+0.0123656
+0.0116761
+0.0110592
+0.0104315
+0.00945717
+0.00864196
+0.00821773
+0.00815507
+0.00858443
+0.00938947
+0.0105333
+0.011952
+0.0135644
+0.0153095
+0.017157
+0.0190637
+0.0209141
+0.0226425
+0.0244452
+0.0263068
+0.0282149
+0.0301481
+0.0321134
+0.0341061
+0.0361218
+0.0381567
+0.0401514
+0.0421482
+0.0441634
+0.0461946
+0.0482398
+0.0502951
+0.0523601
+0.0544349
+0.055998
+0.0636167
+0.0632515
+0.0629477
+0.062717
+0.0625621
+0.0624837
+0.0624821
+0.0625572
+0.0627088
+0.0629364
+0.063239
+0.0636157
+0.0640561
+0.0645625
+0.0651386
+0.0657827
+0.0657572
+0.063826
+0.0619121
+0.060017
+0.0581428
+0.0562914
+0.0544632
+0.0526616
+0.0508905
+0.0491533
+0.0474489
+0.0457855
+0.0441682
+0.0425866
+0.0410421
+0.0395464
+0.038118
+0.036746
+0.0353306
+0.0338904
+0.0324919
+0.0311846
+0.0299807
+0.0288885
+0.0278329
+0.0268978
+0.0260665
+0.0253511
+0.0247905
+0.0239493
+0.0230686
+0.0223685
+0.0218664
+0.021576
+0.021506
+0.0216585
+0.0220289
+0.0226064
+0.0233642
+0.0242694
+0.0253322
+0.0246399
+0.0229264
+0.0213006
+0.0197278
+0.0182743
+0.0169777
+0.0158234
+0.0147945
+0.0139544
+0.0133134
+0.0125848
+0.0120187
+0.0112833
+0.0106089
+0.0102225
+0.0101655
+0.0105003
+0.0111921
+0.0121945
+0.0134434
+0.0149071
+0.016513
+0.018239
+0.0200511
+0.0216298
+0.0233052
+0.0250602
+0.0268793
+0.0287494
+0.030649
+0.032584
+0.0345496
+0.0365408
+0.0385381
+0.0405058
+0.042486
+0.044486
+0.0465031
+0.0485353
+0.0505785
+0.0526324
+0.0546969
+0.0567708
+0.0651586
+0.0648011
+0.0645026
+0.0642774
+0.0641263
+0.0640498
+0.0640482
+0.0641215
+0.0642694
+0.0644915
+0.0647869
+0.0651546
+0.0655887
+0.0660833
+0.0666463
+0.0672759
+0.0660743
+0.0641501
+0.0622434
+0.0603561
+0.0584899
+0.0566469
+0.0548296
+0.0530404
+0.0512825
+0.049559
+0.0478737
+0.0462308
+0.0446306
+0.0430758
+0.0415495
+0.0400728
+0.0386638
+0.0373118
+0.0359442
+0.0345437
+0.0331864
+0.0319076
+0.030732
+0.0296654
+0.0286385
+0.0277469
+0.0269273
+0.026229
+0.0256677
+0.0252212
+0.0249484
+0.0243025
+0.0238411
+0.0235751
+0.0235111
+0.0236506
+0.0239903
+0.0245217
+0.0252327
+0.0260778
+0.0270697
+0.0256764
+0.0240334
+0.0224425
+0.0209476
+0.0195841
+0.0183503
+0.0172869
+0.0163173
+0.0155402
+0.0148792
+0.0142825
+0.0137553
+0.0132138
+0.0126231
+0.0122909
+0.012238
+0.0124996
+0.0131127
+0.0139787
+0.0151063
+0.0164224
+0.0178927
+0.0194969
+0.0210138
+0.0225336
+0.0241491
+0.0258469
+0.0276142
+0.0294377
+0.0312955
+0.0331929
+0.0351244
+0.0370848
+0.0390304
+0.0409745
+0.0429331
+0.0449131
+0.0469119
+0.0489271
+0.0509547
+0.0529939
+0.0550449
+0.0571061
+0.0667368
+0.0663848
+0.0660935
+0.0658737
+0.0657263
+0.0656517
+0.0656501
+0.0657217
+0.065866
+0.0660827
+0.066371
+0.06673
+0.0671578
+0.067641
+0.0681911
+0.0683787
+0.0664489
+0.0645359
+0.062641
+0.060766
+0.0589128
+0.0570835
+0.0552805
+0.0535064
+0.0517642
+0.0500573
+0.0483894
+0.0467647
+0.0451834
+0.0436537
+0.0421648
+0.0407104
+0.0393243
+0.0379881
+0.0366785
+0.0353072
+0.0340061
+0.0327593
+0.0316154
+0.0305799
+0.0295847
+0.0287225
+0.0279278
+0.0272271
+0.0266868
+0.0262714
+0.026012
+0.0259312
+0.0258508
+0.0256056
+0.0255466
+0.0256752
+0.0259883
+0.0264797
+0.0271395
+0.0279411
+0.0284406
+0.0268136
+0.0252027
+0.02368
+0.0222691
+0.020974
+0.0198255
+0.0188496
+0.0179744
+0.0171713
+0.0165746
+0.0160721
+0.0155738
+0.0151942
+0.0146833
+0.0143956
+0.0143409
+0.0145541
+0.015084
+0.015865
+0.0168742
+0.0180767
+0.0194221
+0.0208282
+0.022145
+0.0235921
+0.025147
+0.0267901
+0.0284989
+0.0302692
+0.0320788
+0.0339325
+0.0358241
+0.0377469
+0.0396379
+0.0415473
+0.0434801
+0.0454363
+0.047413
+0.0494077
+0.0514184
+0.0534428
+0.0554773
+0.057523
+0.0683488
+0.0680023
+0.0677179
+0.0675034
+0.0673596
+0.0672868
+0.0672852
+0.067355
+0.0674959
+0.0677073
+0.0679887
+0.0683393
+0.0687578
+0.0692329
+0.0697705
+0.0687992
+0.0668855
+0.0649893
+0.0631121
+0.0612515
+0.0594134
+0.0576
+0.0558137
+0.0540572
+0.0523334
+0.0506456
+0.0489962
+0.0473872
+0.0458264
+0.044319
+0.0428706
+0.0414541
+0.0400889
+0.0387596
+0.0375097
+0.0361874
+0.0349342
+0.0337218
+0.0326116
+0.0316088
+0.0306586
+0.0298081
+0.029033
+0.0283597
+0.0278413
+0.0274565
+0.0272084
+0.0271185
+0.0271504
+0.0272938
+0.027476
+0.0275395
+0.0277315
+0.0280679
+0.0285593
+0.0291582
+0.0295572
+0.0279884
+0.0264446
+0.0249977
+0.02365
+0.0224246
+0.0213543
+0.0204633
+0.0196478
+0.0189028
+0.018352
+0.0179233
+0.0174779
+0.0172255
+0.0167766
+0.0165023
+0.016459
+0.0166434
+0.0171087
+0.0178054
+0.0187103
+0.019817
+0.0210601
+0.0221731
+0.0234269
+0.0247993
+0.0262829
+0.0278598
+0.0295153
+0.0312324
+0.0329893
+0.0347945
+0.0366417
+0.0384981
+0.0403406
+0.042215
+0.0441185
+0.0460476
+0.0479991
+0.0499705
+0.0519594
+0.053964
+0.0559825
+0.0580135
+0.0699923
+0.0696511
+0.0693734
+0.0691641
+0.0690237
+0.0689527
+0.0689512
+0.0690193
+0.0691567
+0.0693631
+0.0696379
+0.0699801
+0.0703889
+0.0708568
+0.0712009
+0.0692843
+0.0673844
+0.0655027
+0.0636407
+0.0618003
+0.0599834
+0.0581923
+0.0564271
+0.0546902
+0.052983
+0.051312
+0.0496814
+0.0480953
+0.0465582
+0.0450753
+0.0436519
+0.0422906
+0.0409368
+0.0396372
+0.0384159
+0.037176
+0.0359574
+0.0347957
+0.0337169
+0.0327363
+0.0318283
+0.0310043
+0.0302442
+0.0295985
+0.0291007
+0.0287323
+0.028514
+0.0284254
+0.0284552
+0.028592
+0.0287446
+0.0287622
+0.0289461
+0.0292686
+0.0297401
+0.030285
+0.030774
+0.0292638
+0.0278039
+0.0264184
+0.0251371
+0.0239879
+0.0229904
+0.0221601
+0.0214147
+0.0207189
+0.0202054
+0.0198438
+0.0194424
+0.0192566
+0.0188698
+0.0186206
+0.0185924
+0.0187559
+0.0191699
+0.0197981
+0.0206157
+0.0216251
+0.0225945
+0.0236353
+0.0248249
+0.0261239
+0.0275362
+0.0290452
+0.0306367
+0.0322983
+0.0340167
+0.0357701
+0.0375518
+0.0393388
+0.0411447
+0.0429841
+0.044855
+0.0467537
+0.0486769
+0.0506219
+0.0525862
+0.0545677
+0.0565647
+0.0585755
+0.071665
+0.071329
+0.071058
+0.0708536
+0.0707166
+0.0706472
+0.0706458
+0.0707122
+0.0708464
+0.0710479
+0.0713161
+0.0716504
+0.0720497
+0.0725105
+0.0717367
+0.0698348
+0.0679503
+0.0660847
+0.0642396
+0.0624168
+0.0606184
+0.0588467
+0.057104
+0.0553916
+0.0537061
+0.0520583
+0.0504518
+0.0488907
+0.0473795
+0.0459231
+0.0445269
+0.0431966
+0.0418818
+0.0406141
+0.0394231
+0.0382646
+0.0370818
+0.0359685
+0.0349139
+0.0339679
+0.0330937
+0.0323001
+0.0315445
+0.0309259
+0.030449
+0.0300971
+0.029902
+0.029836
+0.0298604
+0.0299908
+0.0300781
+0.030095
+0.0302708
+0.0305792
+0.0310309
+0.031522
+0.032081
+0.0306353
+0.029253
+0.02793
+0.0267213
+0.0256431
+0.0247126
+0.0239359
+0.0232523
+0.0226015
+0.0221205
+0.0218153
+0.0214508
+0.0212469
+0.0209778
+0.020754
+0.0207327
+0.0208787
+0.0212507
+0.0218287
+0.0225729
+0.0234216
+0.02423
+0.0252034
+0.0263222
+0.0275507
+0.0288934
+0.0303349
+0.031862
+0.0334629
+0.0351275
+0.0368425
+0.0385379
+0.0402811
+0.0420477
+0.0438492
+0.0456847
+0.0475503
+0.0494426
+0.0513586
+0.0532957
+0.0552518
+0.0572249
+0.0592133
+0.0733634
+0.0730342
+0.0727694
+0.0725699
+0.0724361
+0.0723684
+0.072367
+0.0724319
+0.0725629
+0.0727596
+0.0730216
+0.073348
+0.0737382
+0.074191
+0.0723349
+0.0704491
+0.0685815
+0.0667335
+0.0649069
+0.0631034
+0.0613252
+0.0595744
+0.0578536
+0.0561641
+0.0545026
+0.0528796
+0.0512988
+0.0497643
+0.0482804
+0.046852
+0.0454843
+0.0441829
+0.0429177
+0.0416797
+0.04052
+0.0394313
+0.0382846
+0.0372096
+0.036204
+0.0352926
+0.034452
+0.0336629
+0.0329385
+0.0323466
+0.031891
+0.0315552
+0.0313691
+0.0313163
+0.0313346
+0.031459
+0.0315077
+0.0315237
+0.0316916
+0.0319864
+0.0323889
+0.0328506
+0.0334497
+0.0320882
+0.0307811
+0.0295268
+0.0283862
+0.0273737
+0.0265004
+0.0257755
+0.0251247
+0.0245237
+0.0240827
+0.0238069
+0.0234918
+0.0232732
+0.0231012
+0.0228982
+0.0228788
+0.0230112
+0.0233493
+0.0238843
+0.0245696
+0.0251943
+0.0259475
+0.0268588
+0.0279113
+0.0290727
+0.0303481
+0.0317236
+0.0331869
+0.0347267
+0.0363335
+0.0379736
+0.0396206
+0.0413161
+0.0430393
+0.0448033
+0.0466027
+0.048433
+0.050292
+0.0521768
+0.0540847
+0.0560133
+0.0579605
+0.0599244
+0.0750862
+0.0747646
+0.074506
+0.0743112
+0.0741805
+0.0741144
+0.074113
+0.0741764
+0.0743043
+0.0744964
+0.0747523
+0.0750712
+0.0754525
+0.0748797
+0.0729939
+0.0711256
+0.0692763
+0.0674473
+0.0656405
+0.0638578
+0.0621012
+0.0603729
+0.0586756
+0.0570104
+0.0553743
+0.0537776
+0.052224
+0.0507175
+0.0492623
+0.0478632
+0.0465253
+0.0452538
+0.0440215
+0.0428132
+0.0416851
+0.0406439
+0.0395626
+0.0385235
+0.0375776
+0.0367004
+0.0358927
+0.0351077
+0.0344137
+0.0338476
+0.0334144
+0.0330941
+0.0329167
+0.0328664
+0.0328888
+0.0330073
+0.0330207
+0.0330361
+0.0331963
+0.0334778
+0.0338256
+0.0342679
+0.0348427
+0.0336074
+0.0323618
+0.0311958
+0.0301185
+0.0291647
+0.0283396
+0.0276629
+0.0270392
+0.0264818
+0.0260813
+0.025812
+0.0255576
+0.0253269
+0.0252176
+0.0250504
+0.0250326
+0.0251537
+0.0254633
+0.0259548
+0.0264507
+0.0270053
+0.0277224
+0.0285862
+0.0295773
+0.0306758
+0.0318871
+0.0331989
+0.0345998
+0.0360794
+0.0376285
+0.0391946
+0.0407924
+0.0424375
+0.0441169
+0.0458395
+0.0476005
+0.049396
+0.0512212
+0.053073
+0.0549497
+0.056849
+0.0587685
+0.0607063
+0.0768329
+0.0765186
+0.076266
+0.0760757
+0.075948
+0.0758835
+0.0758821
+0.075944
+0.0760689
+0.0762566
+0.0765066
+0.0768183
+0.0771909
+0.07558
+0.0737122
+0.0718626
+0.0700327
+0.068224
+0.0664384
+0.0646776
+0.0629439
+0.0612394
+0.0595668
+0.0579273
+0.0563177
+0.0547486
+0.0532233
+0.0517459
+0.0503205
+0.0489517
+0.0476443
+0.0464022
+0.0451924
+0.0440267
+0.0429305
+0.0419202
+0.0409181
+0.0399145
+0.0390053
+0.038182
+0.037396
+0.0366145
+0.0359497
+0.0354081
+0.0349955
+0.0346992
+0.0345301
+0.0344861
+0.0345121
+0.034625
+0.034603
+0.0346177
+0.0347706
+0.0350428
+0.0353397
+0.0357633
+0.0363144
+0.0351974
+0.0340101
+0.0329253
+0.0318979
+0.0309901
+0.030214
+0.0295803
+0.0289929
+0.0284737
+0.0281062
+0.0278451
+0.0276426
+0.0274018
+0.0272761
+0.0272088
+0.0271924
+0.0273038
+0.0275893
+0.027982
+0.0283488
+0.0288669
+0.0295389
+0.0303543
+0.0313022
+0.0323478
+0.0334987
+0.0347498
+0.0360905
+0.0375114
+0.0390036
+0.0404974
+0.0420457
+0.0436402
+0.045275
+0.0469551
+0.0486758
+0.050433
+0.0522229
+0.0540424
+0.0558873
+0.0577557
+0.0596461
+0.0615563
+0.0786018
+0.0782946
+0.0780478
+0.0778618
+0.0777371
+0.077674
+0.0776727
+0.0777331
+0.0778552
+0.0780386
+0.0782829
+0.0785875
+0.0782034
+0.0763369
+0.074488
+0.0726582
+0.0708488
+0.0690615
+0.0672981
+0.0655604
+0.0638507
+0.0621711
+0.0605242
+0.0589113
+0.0573294
+0.0557887
+0.0542927
+0.0528452
+0.0514503
+0.0501123
+0.048836
+0.0476055
+0.0464271
+0.0453137
+0.0442493
+0.0432698
+0.0423435
+0.0413748
+0.0404983
+0.0397128
+0.0389375
+0.0381876
+0.0375506
+0.0370325
+0.0366382
+0.0363503
+0.0361889
+0.0361558
+0.0361926
+0.0363003
+0.0362263
+0.0362403
+0.0363864
+0.0366428
+0.0369217
+0.0373274
+0.0378558
+0.0368492
+0.0357168
+0.034686
+0.0337169
+0.0328593
+0.0321285
+0.0315332
+0.0309783
+0.030493
+0.0301445
+0.0299004
+0.0297253
+0.0294905
+0.0293499
+0.0293483
+0.0293566
+0.0294309
+0.029627
+0.0299536
+0.0302864
+0.0307719
+0.0314031
+0.0321714
+0.0330672
+0.0340783
+0.035173
+0.0363665
+0.0376497
+0.0390138
+0.0404264
+0.0418628
+0.0433623
+0.044917
+0.0465074
+0.0481445
+0.0498242
+0.0515422
+0.0532949
+0.055079
+0.0568915
+0.0587298
+0.0605902
+0.0624716
+0.0803915
+0.0800912
+0.0798499
+0.0796681
+0.0795463
+0.0794846
+0.0794833
+0.0795424
+0.0796617
+0.0798409
+0.0800797
+0.0803776
+0.0789958
+0.0771485
+0.0753196
+0.0735104
+0.0717226
+0.0699576
+0.0682174
+0.0665037
+0.0648188
+0.063165
+0.0615447
+0.0599593
+0.0584058
+0.0568943
+0.0554281
+0.054011
+0.052647
+0.0513402
+0.0500939
+0.0488774
+0.0477304
+0.0466565
+0.0456353
+0.0446862
+0.0437995
+0.0428973
+0.0420526
+0.0412851
+0.0405389
+0.0398191
+0.0392086
+0.0387127
+0.0383346
+0.0380559
+0.0379018
+0.0378703
+0.0379235
+0.0380198
+0.0379067
+0.0379201
+0.0380598
+0.0382901
+0.0385592
+0.0389478
+0.0394544
+0.0385529
+0.0374721
+0.0364909
+0.0355778
+0.0347662
+0.0340763
+0.0335156
+0.0329898
+0.0325344
+0.0322027
+0.0319722
+0.031815
+0.0315728
+0.0314396
+0.0314204
+0.0314085
+0.0314757
+0.0316522
+0.0319442
+0.0322565
+0.0327128
+0.0333072
+0.0340325
+0.0348805
+0.0358426
+0.0369014
+0.0380407
+0.0392693
+0.040579
+0.0419065
+0.0432938
+0.0447454
+0.0462553
+0.0478085
+0.0494025
+0.0510408
+0.0527192
+0.0544341
+0.056182
+0.05796
+0.0597655
+0.0615955
+0.0634471
+0.0822007
+0.081907
+0.081671
+0.0814933
+0.0813742
+0.0813139
+0.0813127
+0.0813704
+0.081487
+0.0816623
+0.0818958
+0.0816858
+0.0798406
+0.0780132
+0.0762051
+0.0744174
+0.0726519
+0.0709101
+0.0691938
+0.067505
+0.0658457
+0.0642183
+0.0626252
+0.0610666
+0.059542
+0.0580601
+0.0566241
+0.0552377
+0.0539047
+0.0526292
+0.0513976
+0.0502127
+0.0490969
+0.0480535
+0.0470813
+0.046162
+0.0453053
+0.0444756
+0.0436614
+0.0429096
+0.0421905
+0.0415021
+0.0409168
+0.0404418
+0.0400758
+0.0398091
+0.0396618
+0.0396317
+0.0396998
+0.0397451
+0.039637
+0.0396498
+0.0397834
+0.0399727
+0.0402383
+0.0406109
+0.041097
+0.0403015
+0.0392688
+0.0383336
+0.0374744
+0.0367047
+0.0360519
+0.0355225
+0.0350227
+0.0345941
+0.0342773
+0.0340549
+0.0339175
+0.0336685
+0.0335422
+0.0335067
+0.0334759
+0.0335323
+0.0336981
+0.0339594
+0.0342533
+0.0346833
+0.0352445
+0.0359308
+0.036735
+0.0376497
+0.038667
+0.0397624
+0.0409394
+0.0421783
+0.0434467
+0.0447863
+0.0461911
+0.0476552
+0.0491721
+0.050724
+0.0523209
+0.0539596
+0.0556362
+0.0573475
+0.0590904
+0.0608623
+0.0626604
+0.0644814
+0.0840279
+0.0837407
+0.0835099
+0.0833361
+0.0832196
+0.0831607
+0.0831595
+0.0832159
+0.08333
+0.0835013
+0.0837297
+0.0825611
+0.0807359
+0.0789293
+0.0771426
+0.0753772
+0.0736347
+0.0719167
+0.070225
+0.0685616
+0.0669285
+0.0653281
+0.0637573
+0.0622215
+0.0607259
+0.0592735
+0.0578677
+0.0565118
+0.0552096
+0.0539649
+0.0527601
+0.0516064
+0.0505214
+0.0495081
+0.0485672
+0.0476889
+0.0468651
+0.0460929
+0.0453076
+0.0445827
+0.0438824
+0.0432307
+0.042669
+0.0422138
+0.041859
+0.0416037
+0.0414628
+0.041434
+0.041502
+0.0415144
+0.0414109
+0.0414231
+0.0415489
+0.0417025
+0.0419647
+0.0423221
+0.0427888
+0.0420908
+0.0411031
+0.0402105
+0.0394015
+0.0386702
+0.0380511
+0.0375499
+0.0370736
+0.0366678
+0.0363655
+0.0361504
+0.0360184
+0.0357756
+0.0356554
+0.0356055
+0.0355415
+0.0355842
+0.0357524
+0.0359951
+0.0362725
+0.0366789
+0.03721
+0.0378606
+0.0386247
+0.0394956
+0.0404666
+0.0415281
+0.0426564
+0.0438186
+0.0450408
+0.0463344
+0.0476935
+0.0491128
+0.0505872
+0.0521041
+0.05366
+0.0552589
+0.0568972
+0.0585717
+0.0602793
+0.0620172
+0.0637827
+0.0655726
+0.0858722
+0.0855912
+0.0853654
+0.0851954
+0.0850814
+0.0850238
+0.0850226
+0.0850778
+0.0851894
+0.085357
+0.0853074
+0.0834848
+0.0816802
+0.079895
+0.0781303
+0.0763878
+0.0746689
+0.0729752
+0.0713086
+0.0696711
+0.068064
+0.0664834
+0.0649382
+0.063431
+0.0619646
+0.060542
+0.0591663
+0.0578408
+0.0565692
+0.0553544
+0.0541717
+0.0530487
+0.0519938
+0.0510112
+0.0500993
+0.0492551
+0.0484641
+0.0477429
+0.0469946
+0.0462988
+0.0456168
+0.0449981
+0.0444602
+0.0440235
+0.0436793
+0.0434347
+0.0432997
+0.0432723
+0.0433373
+0.0433222
+0.043223
+0.0432348
+0.0433266
+0.0434739
+0.0437305
+0.0440757
+0.044524
+0.0439122
+0.0429664
+0.0421134
+0.0413548
+0.0406587
+0.0400704
+0.0395947
+0.0391397
+0.0387513
+0.0384651
+0.0382566
+0.0381215
+0.0378922
+0.0377652
+0.0376903
+0.0376184
+0.0376517
+0.0378107
+0.0380481
+0.0383106
+0.0386956
+0.0391994
+0.0398175
+0.0405447
+0.0413753
+0.0423031
+0.0433219
+0.0444041
+0.0455052
+0.0466833
+0.0479326
+0.0492476
+0.0506234
+0.052055
+0.0535373
+0.0550536
+0.0566132
+0.0582135
+0.0598511
+0.0615232
+0.063227
+0.0649596
+0.0667178
+0.0877325
+0.0874574
+0.0872364
+0.0870701
+0.0869586
+0.0869022
+0.086901
+0.0869551
+0.0870642
+0.0872282
+0.0862573
+0.0844552
+0.0826718
+0.0809084
+0.0791664
+0.0774472
+0.0757523
+0.0740834
+0.0724423
+0.0708277
+0.0692408
+0.0676876
+0.0661705
+0.0646921
+0.0632549
+0.061862
+0.0605163
+0.0592211
+0.0579797
+0.0567852
+0.0556287
+0.0545357
+0.0535102
+0.0525559
+0.0516641
+0.0508459
+0.0501027
+0.0494117
+0.0487218
+0.0480475
+0.047389
+0.0467937
+0.0462858
+0.0458664
+0.0455322
+0.0452976
+0.0451682
+0.0451419
+0.0452043
+0.045164
+0.0450688
+0.0450801
+0.0451406
+0.0452819
+0.0455284
+0.045867
+0.0462979
+0.045766
+0.0448593
+0.0440429
+0.0433221
+0.042667
+0.0421068
+0.0416543
+0.0412186
+0.0408458
+0.040572
+0.0403717
+0.040234
+0.0400167
+0.0398806
+0.0397748
+0.0397023
+0.0397325
+0.0398832
+0.0401051
+0.0403647
+0.0407302
+0.0412092
+0.0417976
+0.0424909
+0.0432841
+0.0441719
+0.0451485
+0.0461705
+0.0472305
+0.0483666
+0.0495734
+0.0508461
+0.0521797
+0.0535698
+0.0550119
+0.0564979
+0.0580187
+0.0595812
+0.0611822
+0.0628189
+0.0644884
+0.066188
+0.0679145
+0.0896076
+0.0893383
+0.089122
+0.0889592
+0.0888501
+0.0887949
+0.0887937
+0.0888466
+0.0889534
+0.0890513
+0.0872518
+0.0854707
+0.0837089
+0.0819679
+0.0802489
+0.0785533
+0.0768828
+0.075239
+0.0736179
+0.0720259
+0.070466
+0.0689405
+0.0674515
+0.0660018
+0.0645938
+0.0632303
+0.0619144
+0.0606491
+0.0594337
+0.0582592
+0.0571325
+0.0560689
+0.0550719
+0.0541416
+0.0532731
+0.0524799
+0.0517674
+0.0511175
+0.050485
+0.0498295
+0.0491949
+0.0486217
+0.0481341
+0.0477382
+0.0474139
+0.0471887
+0.0470645
+0.0470393
+0.0470992
+0.0470356
+0.0469442
+0.0469528
+0.0469867
+0.0471225
+0.0473594
+0.0476916
+0.0481062
+0.0476484
+0.0467782
+0.0459959
+0.0453061
+0.0446924
+0.0441579
+0.0437267
+0.0433085
+0.0429498
+0.0426848
+0.0424945
+0.0423543
+0.042148
+0.0420037
+0.0418651
+0.0417958
+0.0418245
+0.0419676
+0.0421655
+0.0424324
+0.0427803
+0.0432365
+0.0437977
+0.0444599
+0.0452186
+0.046069
+0.0470063
+0.0479663
+0.0489874
+0.0500836
+0.0512501
+0.0524821
+0.0537752
+0.055125
+0.0565275
+0.0579789
+0.0594716
+0.0609969
+0.0625617
+0.0641632
+0.0657987
+0.0674653
+0.0691599
+0.0914968
+0.0912331
+0.0910213
+0.0908619
+0.090755
+0.090701
+0.0906999
+0.0907517
+0.0908562
+0.0900683
+0.0882896
+0.0865298
+0.08479
+0.0830716
+0.081376
+0.0797044
+0.0780571
+0.0764319
+0.0748356
+0.0732701
+0.0717372
+0.0702393
+0.0687785
+0.0673573
+0.0659782
+0.064644
+0.0633574
+0.0621184
+0.0609317
+0.0597772
+0.0586797
+0.0576446
+0.0566753
+0.0557652
+0.0549223
+0.0541533
+0.0534631
+0.0528548
+0.0522805
+0.051643
+0.051031
+0.0504787
+0.0500091
+0.0496319
+0.0493212
+0.0491047
+0.0489854
+0.0489578
+0.0490154
+0.0489337
+0.0488459
+0.0488286
+0.0488613
+0.0489919
+0.0492198
+0.0495436
+0.0499451
+0.0495509
+0.0487146
+0.047964
+0.0473029
+0.0467283
+0.0462219
+0.0458101
+0.045408
+0.0450622
+0.0448051
+0.0446239
+0.0444816
+0.044285
+0.0441334
+0.0439652
+0.0438988
+0.0439261
+0.0440624
+0.0442384
+0.0445061
+0.0448437
+0.0452791
+0.0458153
+0.0464487
+0.0471754
+0.0479912
+0.0488849
+0.0497936
+0.0507781
+0.0518364
+0.0529643
+0.0541573
+0.0554113
+0.0567222
+0.0580862
+0.0594996
+0.0609589
+0.0624574
+0.0639865
+0.0655532
+0.0671548
+0.0687886
+0.0704514
+0.0933992
+0.0931408
+0.0929334
+0.0927772
+0.0926726
+0.0926197
+0.0926186
+0.0926693
+0.0927717
+0.0911266
+0.089369
+0.0876308
+0.0859134
+0.0842179
+0.0825458
+0.0808946
+0.0792671
+0.0776673
+0.0760969
+0.0745578
+0.073052
+0.0715816
+0.0701488
+0.0687559
+0.0674054
+0.0661
+0.0648401
+0.0636286
+0.0624635
+0.0613358
+0.0602667
+0.0592593
+0.0583119
+0.0574266
+0.0566083
+0.0558625
+0.0551937
+0.0546046
+0.0540819
+0.0534848
+0.0528941
+0.0523614
+0.0519089
+0.0515456
+0.0512511
+0.0510428
+0.050928
+0.0508968
+0.0509522
+0.0508554
+0.0507709
+0.0507298
+0.0507611
+0.0508869
+0.0511064
+0.0514183
+0.0518113
+0.0514755
+0.050671
+0.0499497
+0.0493153
+0.0487555
+0.0482853
+0.047903
+0.0475155
+0.0471816
+0.0469319
+0.0467589
+0.0466146
+0.0464134
+0.0462354
+0.0460737
+0.0460099
+0.046036
+0.046157
+0.0463221
+0.0465779
+0.0469186
+0.0473349
+0.0478481
+0.0484549
+0.049152
+0.0499355
+0.0507719
+0.0516493
+0.052599
+0.0536214
+0.0547125
+0.0558682
+0.0570846
+0.058358
+0.0596846
+0.061061
+0.0624839
+0.0639501
+0.0654537
+0.066986
+0.0685542
+0.0701553
+0.0717865
+0.0885121
+0.0865618
+0.0846232
+0.0826973
+0.0807794
+0.0788751
+0.0769861
+0.0751134
+0.0732584
+0.0714218
+0.0695995
+0.0677989
+0.0660219
+0.0642705
+0.0625467
+0.0608524
+0.0591786
+0.0575366
+0.0559323
+0.0543689
+0.0528501
+0.0513798
+0.0499623
+0.0486022
+0.0473046
+0.0460746
+0.0449178
+0.0438327
+0.0428178
+0.0418931
+0.0410644
+0.0403379
+0.039719
+0.039213
+0.0388241
+0.0385559
+0.0384111
+0.0383909
+0.0384955
+0.038724
+0.0390742
+0.0395381
+0.0400979
+0.0407679
+0.0415428
+0.0424167
+0.0433838
+0.0444379
+0.045573
+0.0467832
+0.0480628
+0.0494064
+0.0508091
+0.0522659
+0.0536107
+0.0549991
+0.0564384
+0.0579248
+0.0594548
+0.061025
+0.0626326
+0.0640604
+0.0654851
+0.0669348
+0.0684076
+0.0699117
+0.0714495
+0.0730207
+0.0746231
+0.07623
+0.0778181
+0.0794349
+0.0810701
+0.0825976
+0.0824903
+0.0824411
+0.0824501
+0.0825173
+0.0826425
+0.0828172
+0.0830465
+0.0833327
+0.0836752
+0.0840643
+0.0845066
+0.085003
+0.0855527
+0.0861546
+0.0868077
+0.0875087
+0.0882395
+0.0890179
+0.0898332
+0.0906938
+0.0915987
+0.0925467
+0.0935363
+0.0945612
+0.0956103
+0.0966976
+0.087549
+0.0855768
+0.0836154
+0.0816656
+0.0797284
+0.0778042
+0.0758885
+0.0739881
+0.0721041
+0.0702379
+0.0683911
+0.066561
+0.06475
+0.0629632
+0.0612027
+0.0594707
+0.0577699
+0.0560933
+0.0544465
+0.0528391
+0.051275
+0.0497582
+0.0482931
+0.0468847
+0.0455381
+0.0442591
+0.0430535
+0.0419279
+0.0408708
+0.0399009
+0.03903
+0.0382649
+0.0376119
+0.0370771
+0.0366656
+0.0363816
+0.036228
+0.0362066
+0.0363175
+0.0365596
+0.0369303
+0.0374147
+0.0380058
+0.038712
+0.0395272
+0.0404447
+0.0414578
+0.0425596
+0.0437435
+0.0450029
+0.0463317
+0.0477241
+0.0491747
+0.0505465
+0.0519244
+0.0533567
+0.0548391
+0.0563677
+0.0579389
+0.0595491
+0.0610234
+0.0624405
+0.0638898
+0.0653578
+0.066859
+0.0683953
+0.0699665
+0.0715702
+0.073186
+0.0747746
+0.076393
+0.0780293
+0.0796904
+0.0811722
+0.0810859
+0.0810434
+0.0810525
+0.0811208
+0.0812482
+0.0814343
+0.0816769
+0.0819679
+0.0823162
+0.0827131
+0.0831626
+0.083667
+0.0842255
+0.0848368
+0.0854999
+0.0862136
+0.086964
+0.0877538
+0.0885809
+0.0894535
+0.0903708
+0.0913315
+0.0923201
+0.0933429
+0.0944055
+0.0955066
+0.0866306
+0.084637
+0.0826533
+0.0806803
+0.0787189
+0.0767698
+0.0748341
+0.0729112
+0.0709987
+0.0691027
+0.0672246
+0.065366
+0.0635281
+0.0617061
+0.0599086
+0.0581381
+0.0563971
+0.0546885
+0.0530095
+0.0513572
+0.0497466
+0.0481816
+0.0466671
+0.045208
+0.04381
+0.0424789
+0.0412214
+0.0400442
+0.0389497
+0.0379307
+0.0370135
+0.0362057
+0.035515
+0.0349481
+0.0345112
+0.0342092
+0.0340459
+0.0340231
+0.0341411
+0.0343985
+0.0347923
+0.0352988
+0.0359247
+0.036671
+0.0375305
+0.0384957
+0.0395587
+0.040712
+0.041948
+0.0432597
+0.0446404
+0.046084
+0.0474867
+0.0488527
+0.0502771
+0.051755
+0.053282
+0.054854
+0.0564672
+0.0579928
+0.0594015
+0.0608502
+0.0623127
+0.0638108
+0.0653453
+0.0669163
+0.0685214
+0.0701468
+0.0717358
+0.0733555
+0.0749933
+0.0766575
+0.0783477
+0.0797697
+0.0796818
+0.0796542
+0.0796868
+0.0797601
+0.0798897
+0.080079
+0.0803276
+0.0806296
+0.0809837
+0.0813951
+0.0818552
+0.0823677
+0.0829348
+0.0835556
+0.0842288
+0.0849532
+0.0857254
+0.0865266
+0.0873655
+0.0882502
+0.0891778
+0.0901298
+0.0911245
+0.0921606
+0.0932367
+0.094349
+0.0857584
+0.083744
+0.0817386
+0.079743
+0.0777579
+0.0757842
+0.0738226
+0.0718743
+0.0699404
+0.068019
+0.0661101
+0.0642193
+0.062348
+0.0604983
+0.0586678
+0.0568587
+0.0550773
+0.0533263
+0.051609
+0.0499275
+0.0482692
+0.0466547
+0.0450889
+0.0435771
+0.0421249
+0.0407388
+0.0394258
+0.0381934
+0.0370496
+0.035986
+0.0350179
+0.034163
+0.03343
+0.0328271
+0.0323616
+0.0320394
+0.0318649
+0.0318406
+0.0319667
+0.0322415
+0.0326607
+0.0331919
+0.0338568
+0.0346477
+0.0355562
+0.0365734
+0.0376907
+0.0388994
+0.0401912
+0.0415584
+0.0429938
+0.0444323
+0.0457846
+0.0471998
+0.0486726
+0.0501978
+0.0517707
+0.0533872
+0.0549698
+0.0563688
+0.0578167
+0.0592732
+0.0607675
+0.0623
+0.0638708
+0.0654772
+0.067113
+0.0687023
+0.070323
+0.0719625
+0.0736301
+0.0753244
+0.0770438
+0.0784032
+0.0783139
+0.0782858
+0.0783189
+0.0784133
+0.0785687
+0.0787612
+0.079014
+0.0793264
+0.0796891
+0.0801072
+0.0805827
+0.0811067
+0.0816826
+0.0823128
+0.0829961
+0.0837311
+0.0845166
+0.085338
+0.0861887
+0.0870738
+0.087994
+0.0889587
+0.0899664
+0.0910157
+0.0921012
+0.0932203
+0.0849338
+0.0828993
+0.080873
+0.0788555
+0.0768475
+0.0748497
+0.072863
+0.0708883
+0.0689267
+0.0669793
+0.0650474
+0.0631278
+0.0612232
+0.0593384
+0.0574752
+0.0556357
+0.0538142
+0.0520208
+0.0502589
+0.0485319
+0.0468438
+0.0451825
+0.0435638
+0.041997
+0.0404882
+0.0390441
+0.037672
+0.0363803
+0.0351776
+0.0340711
+0.033047
+0.0321397
+0.0313595
+0.030716
+0.0302179
+0.0298727
+0.0296854
+0.0296593
+0.0297946
+0.0300892
+0.0305288
+0.0310965
+0.0318052
+0.0326459
+0.0336085
+0.0346829
+0.0358592
+0.0371275
+0.0384789
+0.0399048
+0.0413843
+0.0427208
+0.0441255
+0.0455923
+0.0471154
+0.0486893
+0.0503095
+0.0519556
+0.0533437
+0.0547843
+0.05624
+0.0577301
+0.0592601
+0.0608306
+0.0624384
+0.0640807
+0.0656748
+0.0672963
+0.0689377
+0.0706087
+0.0723075
+0.0740322
+0.0757809
+0.0770424
+0.076984
+0.0769554
+0.0769891
+0.0770851
+0.0772432
+0.0774629
+0.0777399
+0.0780575
+0.0784341
+0.0788592
+0.0793421
+0.0798823
+0.080468
+0.0811079
+0.0818015
+0.0825475
+0.0833443
+0.0841878
+0.0850306
+0.0859169
+0.0868494
+0.0878267
+0.0888473
+0.089904
+0.0909974
+0.0921298
+0.084158
+0.0821044
+0.0800579
+0.0780194
+0.0759892
+0.0739683
+0.0719573
+0.069957
+0.0679686
+0.0659929
+0.0640312
+0.0620848
+0.0601553
+0.0582378
+0.0563383
+0.0544607
+0.0526072
+0.0507763
+0.0489696
+0.0471955
+0.0454577
+0.0437606
+0.0420974
+0.0404739
+0.0389061
+0.0374009
+0.0359663
+0.0346109
+0.0333444
+0.0321775
+0.0311055
+0.0301398
+0.0293064
+0.0286168
+0.0280815
+0.0277096
+0.0275077
+0.0274795
+0.0276255
+0.027943
+0.0284059
+0.0290152
+0.0297735
+0.0306699
+0.0316926
+0.0328298
+0.0340701
+0.0354026
+0.0368173
+0.0383051
+0.0396623
+0.0410548
+0.0425147
+0.0440352
+0.0456102
+0.0472344
+0.0489027
+0.0503275
+0.0517593
+0.0532143
+0.0546995
+0.0562266
+0.0577965
+0.0594056
+0.061051
+0.0626542
+0.0642761
+0.0659197
+0.0675944
+0.0692978
+0.071028
+0.0727823
+0.0745526
+0.0756303
+0.0755991
+0.0756314
+0.0756993
+0.075797
+0.0759577
+0.0761811
+0.0764632
+0.0767981
+0.0771938
+0.0776406
+0.0781338
+0.0786829
+0.0792858
+0.0799352
+0.0806389
+0.0813954
+0.0822035
+0.0830528
+0.0839028
+0.0848009
+0.0857456
+0.0867353
+0.0877611
+0.0888269
+0.0899333
+0.091079
+0.0834326
+0.0813607
+0.079295
+0.0772363
+0.0751851
+0.0731419
+0.0711075
+0.0690827
+0.0670683
+0.0650653
+0.0630748
+0.0610979
+0.0591362
+0.0571911
+0.0552643
+0.0533495
+0.051456
+0.049587
+0.0477453
+0.0459247
+0.0441369
+0.042387
+0.0406797
+0.0390144
+0.0373855
+0.0358164
+0.0343156
+0.0328922
+0.0315569
+0.0303212
+0.0291978
+0.0281684
+0.0272748
+0.0265324
+0.0259542
+0.0255513
+0.0253322
+0.0253016
+0.0254601
+0.0258042
+0.0262942
+0.0269512
+0.027766
+0.028725
+0.0298145
+0.0310207
+0.0323304
+0.0337317
+0.0352136
+0.0366105
+0.0379885
+0.0394402
+0.0409577
+0.0425338
+0.0441625
+0.0458379
+0.0473218
+0.0487435
+0.0501921
+0.0516769
+0.0532006
+0.0547695
+0.0563799
+0.0580284
+0.0596416
+0.0612635
+0.0629095
+0.0645879
+0.0662962
+0.0680322
+0.0697896
+0.0715667
+0.0733662
+0.0742243
+0.0741925
+0.0742254
+0.0743228
+0.0744846
+0.0747104
+0.0749414
+0.0752205
+0.075561
+0.0759631
+0.0764259
+0.076945
+0.0775138
+0.0781382
+0.0788059
+0.0795195
+0.0802867
+0.0811058
+0.0819564
+0.0828176
+0.0837273
+0.084684
+0.0856768
+0.0867128
+0.0877912
+0.0889105
+0.0900693
+0.0827508
+0.0806653
+0.0785853
+0.076508
+0.0744367
+0.0723724
+0.0703158
+0.0682675
+0.0662283
+0.0641991
+0.0621808
+0.0601747
+0.0581818
+0.0562036
+0.0542418
+0.0522982
+0.0503738
+0.0484631
+0.0465771
+0.0447188
+0.0428874
+0.0410843
+0.0393205
+0.0376017
+0.0359341
+0.0342987
+0.0327283
+0.0312327
+0.0298232
+0.0285125
+0.0273148
+0.0262317
+0.0252697
+0.0244666
+0.0238383
+0.0233991
+0.0231596
+0.0231261
+0.0232994
+0.0236661
+0.0241965
+0.0249089
+0.0257882
+0.0268181
+0.027982
+0.0292637
+0.0306487
+0.0321234
+0.0335592
+0.0349279
+0.0363697
+0.0378835
+0.0394609
+0.0410945
+0.0427773
+0.0443289
+0.0457387
+0.047179
+0.0486638
+0.0501834
+0.051751
+0.0533626
+0.0550142
+0.0566382
+0.0582598
+0.0599083
+0.0615906
+0.063304
+0.0650458
+0.0668063
+0.0685907
+0.0703981
+0.0722267
+0.072857
+0.0728247
+0.0728582
+0.0729574
+0.0731223
+0.0733522
+0.0736466
+0.0740046
+0.0743678
+0.0747764
+0.0752465
+0.075777
+0.0763668
+0.0770043
+0.0776958
+0.0784316
+0.0792207
+0.0800529
+0.0809044
+0.0817767
+0.082697
+0.0836552
+0.0846592
+0.0857075
+0.0867985
+0.0879305
+0.089102
+0.0821181
+0.0800161
+0.077919
+0.0758272
+0.0737411
+0.0716611
+0.069584
+0.0675135
+0.0654509
+0.0633968
+0.0613521
+0.0593179
+0.0572953
+0.0552854
+0.0532898
+0.0513101
+0.0493483
+0.0474065
+0.0454843
+0.0435795
+0.0417028
+0.0398581
+0.038039
+0.0362595
+0.0345273
+0.0328498
+0.0312142
+0.0296423
+0.0281533
+0.0267609
+0.025481
+0.0243313
+0.0232981
+0.0224245
+0.0217373
+0.0212547
+0.0209907
+0.0209537
+0.0211448
+0.0215353
+0.0221168
+0.022894
+0.0238478
+0.0249579
+0.0262044
+0.027569
+0.0290349
+0.0305036
+0.0318744
+0.0333044
+0.0348136
+0.0363922
+0.0380314
+0.0397207
+0.0413515
+0.0427472
+0.0441778
+0.0456553
+0.0471766
+0.0487425
+0.0503551
+0.0520099
+0.0536455
+0.0552666
+0.0569175
+0.0586037
+0.0603224
+0.0620674
+0.063834
+0.0656261
+0.0674418
+0.0692792
+0.0711365
+0.0715308
+0.0714978
+0.0715319
+0.071633
+0.0718009
+0.072035
+0.0723348
+0.0726993
+0.0731277
+0.0736095
+0.074113
+0.0746517
+0.0752502
+0.0759073
+0.0766167
+0.0773682
+0.0781687
+0.0790211
+0.0798986
+0.0807792
+0.0817011
+0.0826709
+0.0836867
+0.0847471
+0.0858502
+0.0869945
+0.0881784
+0.0815394
+0.0794221
+0.0773089
+0.0752001
+0.0730961
+0.0709974
+0.0689044
+0.0668176
+0.0647375
+0.0626608
+0.0605913
+0.0585307
+0.0564798
+0.0544399
+0.0524121
+0.050398
+0.0483992
+0.0464177
+0.0444558
+0.0425163
+0.040597
+0.0386997
+0.0368349
+0.035003
+0.0332053
+0.0314574
+0.0297683
+0.0281327
+0.0265591
+0.0250784
+0.0237078
+0.0224676
+0.0213692
+0.0204132
+0.0196558
+0.0191207
+0.0188269
+0.0187856
+0.0189986
+0.0194177
+0.0200607
+0.0209145
+0.0219544
+0.0231555
+0.024494
+0.0259486
+0.0274575
+0.0288305
+0.0302458
+0.0317492
+0.0333289
+0.0349745
+0.0366712
+0.0383651
+0.039772
+0.0411908
+0.0426593
+0.0441825
+0.045746
+0.0473592
+0.0490173
+0.0506656
+0.0522856
+0.0539387
+0.055629
+0.0573531
+0.0591004
+0.0608742
+0.0626744
+0.0644988
+0.0663453
+0.0682122
+0.0700979
+0.0702223
+0.0702019
+0.0702489
+0.0703519
+0.0705228
+0.0707612
+0.0710663
+0.0714373
+0.0718723
+0.0723591
+0.0729085
+0.0735191
+0.0741792
+0.074848
+0.0755722
+0.0763417
+0.0771566
+0.0780244
+0.0789363
+0.0798195
+0.0807524
+0.0817334
+0.0827608
+0.0838269
+0.0848654
+0.0859473
+0.0870452
+0.0810158
+0.0788844
+0.0767564
+0.074632
+0.0725115
+0.0703954
+0.0682839
+0.0661776
+0.064077
+0.0619826
+0.0598951
+0.057815
+0.0557387
+0.0536705
+0.0516125
+0.0495659
+0.0475321
+0.0455129
+0.0435103
+0.0415267
+0.0395649
+0.0376284
+0.0357128
+0.0338252
+0.0319763
+0.0301601
+0.0283938
+0.0266905
+0.0250553
+0.0234799
+0.02201
+0.0206682
+0.0194809
+0.0184429
+0.0176009
+0.0170013
+0.0166701
+0.0166235
+0.0168565
+0.0173184
+0.0180364
+0.0189815
+0.0201215
+0.0214256
+0.0228656
+0.0244174
+0.0257814
+0.027196
+0.028692
+0.0302727
+0.0319255
+0.0336304
+0.0353291
+0.0368171
+0.0382216
+0.0396791
+0.0412015
+0.0427639
+0.0443774
+0.0460386
+0.0477006
+0.0493191
+0.0509742
+0.0526685
+0.054396
+0.0561475
+0.0579289
+0.0597375
+0.061571
+0.0634271
+0.0653039
+0.0671998
+0.0690474
+0.0689571
+0.0689364
+0.0689852
+0.0691035
+0.0692905
+0.069533
+0.0698435
+0.070221
+0.0706592
+0.0711543
+0.0717129
+0.0723336
+0.0730147
+0.0737547
+0.0745508
+0.0753415
+0.076187
+0.0770686
+0.077999
+0.0788636
+0.0797299
+0.0806428
+0.0816043
+0.0826128
+0.0836664
+0.0847636
+0.0857981
+0.0805484
+0.0784043
+0.0762629
+0.0741243
+0.0719889
+0.0698569
+0.0677287
+0.0656046
+0.063485
+0.0613704
+0.0592613
+0.0571583
+0.0550622
+0.0529738
+0.0508938
+0.0488181
+0.0467517
+0.0446973
+0.0426564
+0.0406311
+0.0386239
+0.0366376
+0.0346761
+0.0327436
+0.0308331
+0.0289589
+0.0271268
+0.0253385
+0.0236181
+0.0219772
+0.0204063
+0.0189513
+0.0176489
+0.0165281
+0.015583
+0.0149024
+0.0145235
+0.0144699
+0.014718
+0.0152449
+0.0160558
+0.0171106
+0.0183672
+0.0197872
+0.021338
+0.0227359
+0.0241586
+0.0256447
+0.027226
+0.0288861
+0.0306004
+0.0323048
+0.0338878
+0.0352746
+0.0367183
+0.0382331
+0.0397995
+0.0414127
+0.0430768
+0.0447538
+0.0463697
+0.0480266
+0.0497248
+0.051453
+0.0532112
+0.0550004
+0.0568178
+0.0586607
+0.0605267
+0.0624139
+0.0643203
+0.0662443
+0.0678287
+0.0677392
+0.0677181
+0.0677678
+0.0678882
+0.068079
+0.0683394
+0.0686688
+0.0690528
+0.0694939
+0.0699972
+0.070565
+0.0711957
+0.0718876
+0.0726391
+0.0734482
+0.0743131
+0.0752293
+0.076016
+0.076798
+0.0776339
+0.0785136
+0.0794405
+0.0804163
+0.0814395
+0.0825081
+0.0834993
+0.0844798
+0.0801164
+0.0779672
+0.0758202
+0.0736759
+0.0715296
+0.0693835
+0.0672403
+0.0651002
+0.0629636
+0.0608309
+0.0587025
+0.0565788
+0.0544604
+0.0523479
+0.0502422
+0.048144
+0.0460544
+0.0439745
+0.0418997
+0.039836
+0.0377865
+0.0357538
+0.0337409
+0.0317516
+0.0297905
+0.0278636
+0.0259605
+0.0241057
+0.022295
+0.0205534
+0.0188953
+0.0173415
+0.0159079
+0.0146626
+0.0136186
+0.0128343
+0.0123922
+0.0123295
+0.0125974
+0.0132091
+0.0141374
+0.0153248
+0.0167162
+0.01825
+0.0197069
+0.0211387
+0.0226111
+0.0241924
+0.0258579
+0.027585
+0.0292959
+0.0309671
+0.0323558
+0.0337822
+0.035287
+0.0368516
+0.0384636
+0.0401304
+0.0418287
+0.0434411
+0.0450991
+0.0468
+0.0485292
+0.0502942
+0.0520915
+0.0539179
+0.0557706
+0.057647
+0.0595448
+0.0614621
+0.0633972
+0.0653484
+0.0666508
+0.0665705
+0.0665496
+0.0666002
+0.0667227
+0.0669168
+0.0671817
+0.0675168
+0.067916
+0.0683744
+0.0688904
+0.0694673
+0.0701078
+0.0708104
+0.0715732
+0.0723942
+0.0732423
+0.0740655
+0.0748037
+0.0755981
+0.0764472
+0.0773402
+0.0782809
+0.0792711
+0.0803027
+0.081245
+0.0821813
+0.0831571
+0.0797293
+0.0775692
+0.075411
+0.0732547
+0.0711004
+0.0689485
+0.0667991
+0.0646525
+0.0625089
+0.0603662
+0.0582208
+0.0560788
+0.0539408
+0.0518072
+0.0496785
+0.0475555
+0.0454389
+0.0433296
+0.0412289
+0.039138
+0.0370584
+0.0349851
+0.0329252
+0.0308833
+0.0288633
+0.02687
+0.0249099
+0.0229885
+0.0210994
+0.0192647
+0.0175004
+0.0158196
+0.0142773
+0.0128905
+0.0117212
+0.0107999
+0.0102707
+0.0101949
+0.0105057
+0.0112319
+0.0123102
+0.0136573
+0.0151562
+0.0167032
+0.0181086
+0.0195977
+0.0211774
+0.0228485
+0.0245858
+0.0263078
+0.0280393
+0.0294736
+0.0308777
+0.0323693
+0.0339252
+0.0355349
+0.037204
+0.0389248
+0.0405376
+0.0421961
+0.0438946
+0.0456285
+0.0474003
+0.0492057
+0.0510414
+0.0529041
+0.054791
+0.0566998
+0.0586284
+0.0605747
+0.0625372
+0.0645144
+0.0654852
+0.0654326
+0.0654336
+0.065485
+0.0656097
+0.065807
+0.0660764
+0.0664171
+0.0668229
+0.0672887
+0.0678221
+0.0684215
+0.0690723
+0.0697853
+0.0705462
+0.0712749
+0.072063
+0.0728625
+0.0736322
+0.0744265
+0.0752762
+0.0761696
+0.0771124
+0.0780982
+0.0790336
+0.0799288
+0.0808702
+0.0818595
+0.0794006
+0.0772314
+0.0750635
+0.0728969
+0.0707318
+0.0685683
+0.0664065
+0.0642468
+0.0620892
+0.059934
+0.0577815
+0.055632
+0.0534858
+0.0513434
+0.0492052
+0.0470617
+0.0449218
+0.0427871
+0.0406583
+0.0385365
+0.0364228
+0.0343188
+0.0322263
+0.0301476
+0.0280768
+0.0260234
+0.0239942
+0.021996
+0.0200382
+0.0181139
+0.0162375
+0.0144497
+0.0127549
+0.011219
+0.00992302
+0.00883538
+0.00818006
+0.00806802
+0.00844282
+0.00933101
+0.0106008
+0.0120624
+0.0137018
+0.0151048
+0.0166156
+0.0181904
+0.0198663
+0.0216126
+0.0233483
+0.0251494
+0.02664
+0.0280148
+0.0294885
+0.0310323
+0.0326376
+0.0343078
+0.0360337
+0.0376652
+0.0393225
+0.0410171
+0.0427555
+0.0445338
+0.0463474
+0.0481923
+0.0500652
+0.0519628
+0.0538828
+0.0558226
+0.0577804
+0.0597544
+0.061743
+0.0637448
+0.0643099
+0.0642564
+0.0642774
+0.0643731
+0.06454
+0.0647406
+0.0650144
+0.0653605
+0.0657778
+0.0662576
+0.0667992
+0.0674078
+0.0680813
+0.0687042
+0.0693831
+0.0701144
+0.070876
+0.0716859
+0.0724353
+0.0732426
+0.074095
+0.0749877
+0.0759332
+0.0768774
+0.0777323
+0.078639
+0.0795957
+0.0806006
+0.0791167
+0.0769545
+0.0747785
+0.0726034
+0.0704293
+0.0682562
+0.0660843
+0.0639137
+0.0617445
+0.0595768
+0.0574109
+0.055247
+0.0530852
+0.0509259
+0.0487695
+0.0466162
+0.0444666
+0.0423211
+0.0401806
+0.0380458
+0.0359095
+0.0337735
+0.0316451
+0.0295257
+0.0274175
+0.0253227
+0.0232379
+0.0211746
+0.0191396
+0.0171329
+0.015162
+0.0132431
+0.0114069
+0.00970531
+0.00819055
+0.0070053
+0.00615822
+0.00594881
+0.00644799
+0.00754604
+0.00897049
+0.0106223
+0.0121484
+0.0136649
+0.0152461
+0.0169258
+0.0186754
+0.02043
+0.0222581
+0.0238616
+0.0252076
+0.0266564
+0.028183
+0.0297807
+0.03145
+0.03318
+0.0348316
+0.0364807
+0.0381742
+0.0399162
+0.0417004
+0.0435218
+0.0453759
+0.0472588
+0.0491672
+0.0510983
+0.0530495
+0.0550187
+0.0570042
+0.0590041
+0.0609835
+0.0629355
+0.0631888
+0.0631343
+0.0631557
+0.0632531
+0.063426
+0.0636738
+0.0639958
+0.064359
+0.0647828
+0.0652742
+0.0658324
+0.0663613
+0.0669341
+0.0675224
+0.0681722
+0.0688856
+0.0696607
+0.0704953
+0.0712664
+0.0720762
+0.0729183
+0.0737998
+0.0747337
+0.075599
+0.0764682
+0.0773897
+0.0783604
+0.0793692
+0.0787659
+0.076601
+0.0744375
+0.0722757
+0.0701157
+0.0679576
+0.0658017
+0.0636482
+0.0614759
+0.0592984
+0.0571219
+0.0549466
+0.0527726
+0.0506
+0.048429
+0.0462599
+0.0440929
+0.0419283
+0.0397667
+0.0376083
+0.035454
+0.0333044
+0.0311605
+0.0290237
+0.0268887
+0.0247589
+0.0226358
+0.0205143
+0.0184065
+0.0163205
+0.0142659
+0.0122541
+0.0102816
+0.00840344
+0.00666913
+0.00521064
+0.00416004
+0.00387028
+0.00455028
+0.00588505
+0.00755797
+0.00928492
+0.0107511
+0.0123599
+0.0140532
+0.0157976
+0.0175721
+0.0194176
+0.0210628
+0.0224769
+0.0238904
+0.025392
+0.0269772
+0.0286423
+0.0303742
+0.0320258
+0.033672
+0.0353742
+0.0371182
+0.0389075
+0.040736
+0.0425986
+0.0444912
+0.04641
+0.0483519
+0.0503142
+0.0522947
+0.0542805
+0.0562666
+0.0582119
+0.060174
+0.0621514
+0.0621242
+0.0620687
+0.0620905
+0.0621895
+0.0623653
+0.0626174
+0.0629447
+0.0633461
+0.0638203
+0.0642283
+0.0646789
+0.0651852
+0.0657123
+0.0663077
+0.0669694
+0.0676956
+0.0684842
+0.0693137
+0.0700356
+0.0708178
+0.0716511
+0.0725227
+0.0734473
+0.074356
+0.0752396
+0.0761694
+0.0771447
+0.0781692
+0.0784748
+0.0763016
+0.0741294
+0.0719583
+0.0697885
+0.06762
+0.065453
+0.0632876
+0.061124
+0.0589624
+0.056803
+0.0546462
+0.0524921
+0.0503412
+0.0481794
+0.0459998
+0.0438213
+0.0416441
+0.0394684
+0.0372944
+0.035121
+0.0329497
+0.0307812
+0.028616
+0.026455
+0.0242993
+0.0221505
+0.0200108
+0.0178703
+0.0157397
+0.0136197
+0.011504
+0.00941783
+0.00739241
+0.00543378
+0.00368863
+0.00236195
+0.00183442
+0.00281275
+0.00453095
+0.0064997
+0.00794904
+0.00954924
+0.0112851
+0.0130213
+0.0147991
+0.0166478
+0.0183601
+0.0198543
+0.0212161
+0.0226782
+0.0242454
+0.0259008
+0.0276309
+0.0292778
+0.0309151
+0.0326174
+0.0343719
+0.0361643
+0.0379985
+0.0398686
+0.04177
+0.0436985
+0.0456506
+0.0476171
+0.0495879
+0.0515764
+0.0535197
+0.0554748
+0.0574469
+0.0594343
+0.0612399
+0.0611051
+0.0610487
+0.0610708
+0.0611715
+0.0613502
+0.0616064
+0.061939
+0.0622804
+0.0625993
+0.0629929
+0.0634596
+0.0639607
+0.0644979
+0.0651042
+0.0657779
+0.066517
+0.0673194
+0.0680343
+0.0687579
+0.0695278
+0.0703576
+0.071245
+0.0721767
+0.0731521
+0.0740433
+0.0749822
+0.0759721
+0.0769943
+0.0782342
+0.0760555
+0.0738776
+0.0717004
+0.0695241
+0.0673487
+0.0651743
+0.0630007
+0.0608273
+0.0586548
+0.0564837
+0.0543141
+0.0521464
+0.0499806
+0.0478171
+0.0456562
+0.0434982
+0.0413437
+0.0391933
+0.0370475
+0.0348911
+0.032709
+0.0305281
+0.0283473
+0.0261668
+0.0239877
+0.0218109
+0.0196372
+0.0174678
+0.0153044
+0.0131501
+0.0110101
+0.00888032
+0.00675428
+0.00464357
+0.00258292
+0.000779634
+-0.000111142
+0.00161437
+0.00370531
+0.00538932
+0.00683994
+0.0085674
+0.0103866
+0.0121718
+0.0140093
+0.0158032
+0.0173848
+0.0186701
+0.0200747
+0.0216099
+0.0232491
+0.0249707
+0.0266068
+0.028229
+0.0299238
+0.0316794
+0.033483
+0.0353206
+0.0371964
+0.0391049
+0.0410412
+0.0429785
+0.0449392
+0.0469202
+0.0488681
+0.0508133
+0.0527777
+0.0547592
+0.0567562
+0.058767
+0.0602486
+0.060127
+0.0600852
+0.0601133
+0.0602156
+0.0603971
+0.0605856
+0.0607863
+0.061065
+0.0614093
+0.0618104
+0.0622861
+0.0627818
+0.0633289
+0.0639463
+0.0646321
+0.0653842
+0.0661015
+0.0667584
+0.0674801
+0.0682644
+0.0691093
+0.0700046
+0.0709511
+0.0719519
+0.0728804
+0.0738073
+0.0747538
+0.0757435
+0.0780522
+0.0758683
+0.0736849
+0.0715018
+0.0693193
+0.0671373
+0.0649558
+0.062775
+0.0605949
+0.0584157
+0.0562373
+0.0540598
+0.0518836
+0.0497085
+0.0475349
+0.0453629
+0.0431915
+0.041021
+0.0388527
+0.036687
+0.0345245
+0.0323657
+0.0302116
+0.0280631
+0.0259217
+0.0237893
+0.0216401
+0.0194518
+0.0172641
+0.0150774
+0.0128919
+0.0107086
+0.00852915
+0.00635494
+0.00418309
+0.00204317
+-5.67249e-05
+-0.000352412
+0.00149615
+0.00345162
+0.0045897
+0.00615906
+0.00795782
+0.00978114
+0.0115907
+0.0134682
+0.014964
+0.0163008
+0.0176318
+0.0191122
+0.0207188
+0.0224233
+0.0240332
+0.025636
+0.027316
+0.0290608
+0.0308516
+0.0326911
+0.0345716
+0.0364867
+0.0384046
+0.0403496
+0.0423187
+0.0442697
+0.0462008
+0.048154
+0.0501269
+0.0521172
+0.0541229
+0.0561425
+0.0581745
+0.0592849
+0.0591885
+0.059146
+0.0591776
+0.0591867
+0.0592304
+0.0593549
+0.0595598
+0.0598442
+0.0602071
+0.060647
+0.0611603
+0.0616581
+0.0622151
+0.0628435
+0.0635412
+0.0642416
+0.0648433
+0.0655128
+0.066248
+0.0670468
+0.0679043
+0.06881
+0.0697727
+0.0707663
+0.0716294
+0.0725484
+0.073518
+0.0745177
+0.0779314
+0.0757441
+0.0735569
+0.07137
+0.0691832
+0.0669968
+0.0648106
+0.0626248
+0.0604393
+0.0582542
+0.0560695
+0.0538853
+0.0517017
+0.0495187
+0.0473364
+0.0451549
+0.0429743
+0.0407948
+0.0386166
+0.0364399
+0.034265
+0.0320922
+0.0299221
+0.0277551
+0.0255912
+0.0234296
+0.021273
+0.0191241
+0.0169859
+0.0148629
+0.0127528
+0.0106713
+0.00859089
+0.00640838
+0.00423299
+0.00208704
+0.000305015
+0.000855709
+0.00223911
+0.00338075
+0.00452853
+0.00607269
+0.00770997
+0.00947917
+0.0112821
+0.0128304
+0.0141674
+0.0154142
+0.0168155
+0.0183618
+0.0200287
+0.0215583
+0.0231253
+0.024787
+0.0265257
+0.0283118
+0.0301471
+0.032022
+0.0339214
+0.0358419
+0.0377919
+0.0397432
+0.0416536
+0.0435904
+0.0455503
+0.0475303
+0.049528
+0.0515414
+0.0535687
+0.0554119
+0.0572538
+0.0582619
+0.0580563
+0.0579329
+0.0578907
+0.0579159
+0.0579608
+0.0580882
+0.0582978
+0.0585886
+0.0589594
+0.0594087
+0.0599348
+0.0604778
+0.0610759
+0.061746
+0.0624696
+0.063014
+0.0636273
+0.0643095
+0.0650583
+0.0658715
+0.066744
+0.0676652
+0.0686441
+0.0695139
+0.0703926
+0.0713192
+0.0722829
+0.0732995
+0.0778721
+0.075683
+0.0734941
+0.0713052
+0.0691164
+0.0669278
+0.0647393
+0.0625509
+0.0603628
+0.0581748
+0.055987
+0.0537995
+0.0516122
+0.0494253
+0.0472386
+0.0450524
+0.0428667
+0.0406814
+0.0384968
+0.0363129
+0.0341299
+0.0319479
+0.0297673
+0.0275882
+0.0254111
+0.0232365
+0.0210653
+0.0188986
+0.0167381
+0.0145867
+0.012449
+0.0103195
+0.00820563
+0.00614581
+0.00421992
+0.00261439
+0.00194749
+0.00232924
+0.0032191
+0.00413272
+0.00521031
+0.00638981
+0.00789966
+0.00946386
+0.0111421
+0.0124464
+0.0134979
+0.0148012
+0.0162554
+0.0178503
+0.0192605
+0.0207698
+0.0223921
+0.0241044
+0.025889
+0.0277001
+0.0295626
+0.0314514
+0.0333702
+0.0353161
+0.0371959
+0.039108
+0.041048
+0.0430121
+0.0449971
+0.0469929
+0.0487591
+0.0505586
+0.0523879
+0.0542119
+0.0560309
+0.057034
+0.0568285
+0.0567024
+0.0566587
+0.0566643
+0.0567264
+0.0568612
+0.0570752
+0.0573722
+0.0577508
+0.0582095
+0.0587463
+0.0593315
+0.0599411
+0.0606237
+0.0612867
+0.0618396
+0.0624645
+0.0631592
+0.0639215
+0.064749
+0.065631
+0.0665675
+0.0674663
+0.0683002
+0.0691807
+0.0701094
+0.0710878
+0.0721073
+0.0778744
+0.0756854
+0.0734965
+0.0713077
+0.069119
+0.0669305
+0.064742
+0.0625538
+0.0603657
+0.0581779
+0.0559902
+0.0538028
+0.0516157
+0.0494289
+0.0472424
+0.0450564
+0.0428708
+0.0406858
+0.0385014
+0.0363178
+0.0341351
+0.0319535
+0.0297732
+0.0275946
+0.0254181
+0.0232442
+0.0210738
+0.018908
+0.0167488
+0.0145964
+0.0124557
+0.010336
+0.00825004
+0.00621948
+0.00432863
+0.00282058
+0.00241527
+0.00312773
+0.00428904
+0.00528203
+0.00626979
+0.00721206
+0.00835977
+0.00980888
+0.0111844
+0.0120826
+0.0131632
+0.0144966
+0.0159642
+0.0172153
+0.018633
+0.0201894
+0.0218547
+0.0236031
+0.0253863
+0.027229
+0.0291018
+0.0310113
+0.0328638
+0.0347381
+0.0366476
+0.0385869
+0.0404979
+0.0421949
+0.0439356
+0.045715
+0.0475288
+0.0493665
+0.0511702
+0.0530031
+0.0548322
+0.05582
+0.055622
+0.0555096
+0.0554482
+0.0554252
+0.0554888
+0.0556387
+0.055874
+0.0561939
+0.0565968
+0.0570692
+0.0576166
+0.0581867
+0.0588105
+0.0595084
+0.0601585
+0.0607216
+0.0613579
+0.062065
+0.0628406
+0.0636736
+0.0645643
+0.0654738
+0.0662733
+0.0671089
+0.0679984
+0.0689371
+0.0699215
+0.0709501
+0.0769421
+0.0757511
+0.0735642
+0.0713774
+0.069191
+0.0670048
+0.0648189
+0.0626333
+0.0604481
+0.0582633
+0.056079
+0.0538952
+0.051712
+0.0495284
+0.0473453
+0.045163
+0.0429815
+0.040801
+0.0386217
+0.0364437
+0.0342674
+0.032093
+0.029921
+0.0277519
+0.0255865
+0.0234258
+0.0212713
+0.019125
+0.0169899
+0.0148711
+0.0127708
+0.0106956
+0.00867712
+0.00676669
+0.00508741
+0.00382269
+0.0035601
+0.00424327
+0.00543579
+0.00669797
+0.00768318
+0.00824805
+0.00924172
+0.0105146
+0.0113196
+0.0120831
+0.0131638
+0.0143942
+0.0155138
+0.0167985
+0.0182443
+0.0198218
+0.021507
+0.0232512
+0.0250594
+0.0269041
+0.0287144
+0.0305292
+0.0323904
+0.0341733
+0.035768
+0.037423
+0.0391307
+0.0408845
+0.0426787
+0.0445084
+0.0463175
+0.0481358
+0.0499839
+0.051802
+0.0536467
+0.0546469
+0.0544447
+0.0543276
+0.0542699
+0.0542464
+0.0543114
+0.0544645
+0.0547049
+0.0550316
+0.0554429
+0.0559371
+0.056512
+0.0570812
+0.057717
+0.0584273
+0.0590899
+0.0596632
+0.0603106
+0.0610299
+0.0618097
+0.0626502
+0.0635258
+0.0643054
+0.0651089
+0.0659545
+0.0668382
+0.0677537
+0.0687269
+0.0697552
+0.0754387
+0.074498
+0.0735848
+0.0715001
+0.0693151
+0.0671304
+0.0649461
+0.0627622
+0.0605788
+0.058396
+0.0562138
+0.0540323
+0.0518516
+0.0496717
+0.0474928
+0.0453151
+0.0431387
+0.0409638
+0.0387907
+0.0366196
+0.0344511
+0.0322856
+0.0301237
+0.0279662
+0.0258144
+0.0236697
+0.0215343
+0.0194112
+0.0173049
+0.0152225
+0.0131753
+0.0111825
+0.00927948
+0.0075333
+0.00600829
+0.00498886
+0.00477892
+0.00535395
+0.0065061
+0.00798017
+0.00899394
+0.00942656
+0.0102309
+0.0111646
+0.0116854
+0.0124265
+0.0133689
+0.0142342
+0.0153238
+0.0166123
+0.0180671
+0.0196588
+0.0213529
+0.0231026
+0.0248394
+0.0265575
+0.0281302
+0.029568
+0.0310903
+0.0326886
+0.0343522
+0.0360723
+0.037841
+0.0396519
+0.0414755
+0.0432755
+0.04511
+0.046949
+0.0487804
+0.0506403
+0.0525258
+0.0533965
+0.0532248
+0.0531303
+0.0530334
+0.0530269
+0.0531108
+0.0532848
+0.0535479
+0.0538988
+0.0542921
+0.0547629
+0.0553165
+0.0559481
+0.0566524
+0.0573958
+0.0580843
+0.0586674
+0.0593258
+0.0600478
+0.0608338
+0.0616694
+0.0623885
+0.0631094
+0.0638829
+0.0647214
+0.0656089
+0.0665413
+0.0675319
+0.0685711
+0.0739689
+0.0730092
+0.0721034
+0.0712331
+0.0694449
+0.0672644
+0.0650846
+0.0629055
+0.0607273
+0.0585501
+0.0563738
+0.0541987
+0.052025
+0.0498527
+0.0476821
+0.0455134
+0.043347
+0.0411831
+0.0390217
+0.0368638
+0.03471
+0.0325612
+0.0304183
+0.0282827
+0.0261563
+0.0240414
+0.0219414
+0.0198609
+0.017807
+0.0157898
+0.0138237
+0.0119113
+0.0101099
+0.00849356
+0.0071704
+0.00632026
+0.00614558
+0.00660623
+0.00763476
+0.00893034
+0.00948104
+0.0100853
+0.0107428
+0.0117026
+0.0124313
+0.0130176
+0.0135553
+0.014365
+0.0154266
+0.0167072
+0.0181543
+0.0197258
+0.0211868
+0.0224167
+0.0237242
+0.0250646
+0.0264926
+0.0280106
+0.0296131
+0.0312869
+0.0330213
+0.0348072
+0.036637
+0.0384249
+0.040242
+0.0420947
+0.0439212
+0.045769
+0.0476458
+0.0495484
+0.0514614
+0.0520525
+0.0518939
+0.0518122
+0.0517884
+0.0517817
+0.0518677
+0.0520458
+0.0523151
+0.0526637
+0.0530586
+0.0535402
+0.0541063
+0.0547543
+0.0554812
+0.0562831
+0.057145
+0.0577376
+0.0583972
+0.0591241
+0.0598617
+0.0605148
+0.0611662
+0.0618865
+0.0626751
+0.0635272
+0.0644222
+0.0653716
+0.0663797
+0.0674165
+0.0725354
+0.0715565
+0.0706321
+0.0697642
+0.0689178
+0.0674587
+0.0652851
+0.0631127
+0.0609416
+0.058772
+0.0566039
+0.0544377
+0.0522736
+0.0501117
+0.0479525
+0.0457962
+0.0436434
+0.0414946
+0.0393503
+0.0372115
+0.0350791
+0.0329543
+0.0308387
+0.0287344
+0.0266441
+0.0245712
+0.0225206
+0.0204991
+0.0185032
+0.0165501
+0.0146643
+0.0128753
+0.0112104
+0.00974718
+0.00859885
+0.00790387
+0.00770166
+0.00807401
+0.00896286
+0.0097147
+0.00994677
+0.0105435
+0.0111241
+0.0119437
+0.012861
+0.0134894
+0.0139986
+0.014768
+0.0158045
+0.0165544
+0.0173417
+0.0183282
+0.0194924
+0.0207013
+0.0220078
+0.0234231
+0.0249356
+0.0265428
+0.0282287
+0.0299799
+0.0317857
+0.0335882
+0.0353825
+0.0372192
+0.039072
+0.0409041
+0.0427699
+0.0446653
+0.0465866
+0.0485003
+0.0504204
+0.0507657
+0.050603
+0.0505349
+0.0505457
+0.0506008
+0.0506887
+0.050871
+0.0511465
+0.0514844
+0.0518882
+0.0523806
+0.0529591
+0.053621
+0.0543631
+0.0551822
+0.0559937
+0.0568438
+0.0575304
+0.0581519
+0.0587066
+0.0593212
+0.059965
+0.0606796
+0.061464
+0.0623154
+0.0632207
+0.0641878
+0.0652142
+0.0662761
+0.071126
+0.0701422
+0.0691956
+0.0682919
+0.0674473
+0.0666266
+0.0654051
+0.0633921
+0.061231
+0.059072
+0.0569154
+0.0547615
+0.0526106
+0.0504632
+0.0483197
+0.0461806
+0.0440466
+0.0419184
+0.039797
+0.0376835
+0.0355794
+0.0334864
+0.0314067
+0.0293431
+0.0272994
+0.0252746
+0.0232647
+0.0212904
+0.0193628
+0.0174973
+0.0157159
+0.0140407
+0.012525
+0.0112344
+0.010254
+0.00959569
+0.00932855
+0.00951069
+0.010097
+0.0105087
+0.0106121
+0.0109213
+0.0113105
+0.0115234
+0.0119934
+0.0125755
+0.0131056
+0.0137861
+0.0141033
+0.0146966
+0.0155616
+0.0166311
+0.0177046
+0.0189645
+0.0203566
+0.0218616
+0.0234748
+0.0251755
+0.0269469
+0.0287543
+0.0305354
+0.0323506
+0.0342099
+0.0360483
+0.0379
+0.0397861
+0.041702
+0.0436433
+0.0455574
+0.0474955
+0.0494546
+0.0495263
+0.0493596
+0.0492897
+0.0493172
+0.049381
+0.0495214
+0.0497453
+0.0500465
+0.0503728
+0.0507855
+0.0512885
+0.0518792
+0.0525546
+0.0532648
+0.054049
+0.0548892
+0.0557562
+0.0565129
+0.0569874
+0.0575264
+0.058106
+0.0587616
+0.0594907
+0.0602906
+0.0611502
+0.0620723
+0.063057
+0.0641015
+0.0651643
+0.0697185
+0.0687291
+0.0677663
+0.0668525
+0.0659895
+0.0651887
+0.0642271
+0.0631312
+0.0613668
+0.0592142
+0.0570644
+0.054918
+0.0527751
+0.0506364
+0.0485023
+0.0463734
+0.0442506
+0.0421348
+0.040027
+0.0379286
+0.0358412
+0.033767
+0.0317084
+0.0296687
+0.0276522
+0.0256642
+0.0237119
+0.021805
+0.0199517
+0.0181674
+0.0164814
+0.0149076
+0.0134902
+0.0123017
+0.0114139
+0.0108262
+0.0105653
+0.0107053
+0.011241
+0.0112931
+0.011322
+0.0111314
+0.0108625
+0.0109632
+0.0112777
+0.0114025
+0.0116935
+0.0119522
+0.0122621
+0.0129275
+0.013804
+0.0147497
+0.0159423
+0.0172984
+0.018793
+0.0204136
+0.0221326
+0.0239115
+0.0257078
+0.0274927
+0.0293327
+0.0312059
+0.0330385
+0.0349123
+0.0368212
+0.0387598
+0.040703
+0.0426366
+0.044594
+0.0465721
+0.0485177
+0.0483102
+0.0481586
+0.0480554
+0.0480257
+0.0480899
+0.0482402
+0.0484833
+0.0488103
+0.0491387
+0.0495616
+0.0500767
+0.0506815
+0.0513726
+0.0521466
+0.0529772
+0.0538513
+0.0547347
+0.0553883
+0.0558444
+0.0563561
+0.0569477
+0.0576165
+0.0583599
+0.0591694
+0.060042
+0.0609808
+0.0619741
+0.0630169
+0.0640935
+0.0683522
+0.0673452
+0.0663623
+0.065438
+0.0645652
+0.0637509
+0.0629103
+0.0618625
+0.0608678
+0.059408
+0.0572655
+0.0551269
+0.0529925
+0.0508629
+0.0487387
+0.0466206
+0.0445096
+0.0424067
+0.0403131
+0.0382304
+0.0361605
+0.0341057
+0.0320689
+0.0300537
+0.0280579
+0.0260929
+0.0241667
+0.0222894
+0.0204744
+0.0187399
+0.0171105
+0.0156072
+0.0142593
+0.0131404
+0.0122997
+0.0117456
+0.011586
+0.0117767
+0.0123412
+0.0119664
+0.0113789
+0.0108854
+0.0104622
+0.0103999
+0.0100401
+0.00987544
+0.00992288
+0.0100687
+0.0103716
+0.0110817
+0.0118682
+0.012956
+0.0142575
+0.0157359
+0.0173655
+0.0190971
+0.0208569
+0.0226523
+0.024464
+0.0263333
+0.0281898
+0.0300466
+0.0319457
+0.03388
+0.0358439
+0.0377879
+0.0397426
+0.0417207
+0.0437191
+0.0457351
+0.0472701
+0.0470903
+0.0469362
+0.0468177
+0.0467871
+0.0468591
+0.0470199
+0.0472738
+0.0475884
+0.0479331
+0.0483664
+0.0488942
+0.0495134
+0.0502206
+0.0510121
+0.0518841
+0.0528163
+0.0537512
+0.0542716
+0.0547147
+0.0552411
+0.0558486
+0.0565247
+0.0572701
+0.0580886
+0.0589772
+0.0599182
+0.0609224
+0.0619764
+0.0630634
+0.0670296
+0.0660049
+0.0650017
+0.0640578
+0.0631758
+0.0623457
+0.0615577
+0.0605494
+0.0595482
+0.0586019
+0.0575494
+0.0554217
+0.0532991
+0.0511822
+0.0490719
+0.0469688
+0.0448742
+0.0427877
+0.0407107
+0.0386462
+0.0365963
+0.0345633
+0.0325502
+0.0305609
+0.0286003
+0.0266752
+0.0247943
+0.0229483
+0.0211651
+0.0194653
+0.0178727
+0.0164185
+0.0151426
+0.0140664
+0.0132283
+0.0127165
+0.0125708
+0.0127367
+0.0129918
+0.0119865
+0.0112051
+0.0106405
+0.00973822
+0.00906577
+0.00846736
+0.00817511
+0.00797932
+0.00807596
+0.00843025
+0.00910999
+0.0100199
+0.0112479
+0.0126988
+0.0143388
+0.0160233
+0.0178174
+0.0196101
+0.021455
+0.0233501
+0.0251935
+0.0270786
+0.0290066
+0.0309696
+0.032954
+0.0349044
+0.0368818
+0.038882
+0.0409018
+0.0429383
+0.0449893
+0.0460288
+0.0458226
+0.0457033
+0.0456429
+0.0456116
+0.0456689
+0.0457927
+0.0460146
+0.046339
+0.0467639
+0.0472194
+0.0477598
+0.0483934
+0.0491166
+0.0499255
+0.0508161
+0.051784
+0.052649
+0.0531754
+0.0536275
+0.0541645
+0.0547738
+0.0554563
+0.0562159
+0.0570495
+0.0579391
+0.0588817
+0.0598828
+0.060936
+0.0619992
+0.0657535
+0.064711
+0.0636875
+0.0627238
+0.0618227
+0.0609863
+0.0602039
+0.0591866
+0.0582257
+0.0573001
+0.0564115
+0.0555821
+0.0536692
+0.0515651
+0.0494686
+0.0473805
+0.0453022
+0.0432349
+0.0411805
+0.0391408
+0.0371183
+0.03511
+0.0331247
+0.0311669
+0.0292396
+0.0273405
+0.0254882
+0.0236936
+0.021971
+0.0203387
+0.0188202
+0.0174451
+0.0162237
+0.0151899
+0.0143173
+0.0137094
+0.0133863
+0.0133582
+0.013205
+0.0121276
+0.0110144
+0.00968081
+0.00857811
+0.00756972
+0.00682656
+0.00634096
+0.00609628
+0.006135
+0.00653729
+0.00720475
+0.00830354
+0.00970026
+0.0112459
+0.012961
+0.0147857
+0.0165887
+0.0184707
+0.0203622
+0.0222252
+0.0241433
+0.0261042
+0.0280992
+0.0300857
+0.0320609
+0.0340625
+0.036086
+0.038128
+0.0401856
+0.0422551
+0.0443347
+0.0448143
+0.0446177
+0.044504
+0.0444306
+0.0444138
+0.0444477
+0.0445889
+0.0448236
+0.0451566
+0.0455925
+0.0461285
+0.0466934
+0.0473413
+0.0480803
+0.0489064
+0.0498152
+0.0507567
+0.0514035
+0.0521002
+0.0526091
+0.053146
+0.0537599
+0.054455
+0.0551977
+0.0560002
+0.0568757
+0.0578193
+0.0588278
+0.0598946
+0.0609531
+0.0645265
+0.0634664
+0.0624225
+0.061439
+0.0605188
+0.0596648
+0.0587482
+0.0578232
+0.0568854
+0.0559708
+0.0551281
+0.0542931
+0.0535253
+0.0520225
+0.0499408
+0.0478689
+0.045808
+0.0437598
+0.041726
+0.0397089
+0.0377112
+0.0357361
+0.0337876
+0.0318706
+0.0299865
+0.0281378
+0.0263416
+0.0246094
+0.0229461
+0.0212933
+0.0197456
+0.0183277
+0.017047
+0.0159607
+0.0150555
+0.0144144
+0.0140884
+0.0140543
+0.0135917
+0.0120235
+0.0103985
+0.00884197
+0.00737533
+0.00607254
+0.00505773
+0.00442151
+0.00414995
+0.00414281
+0.00458128
+0.00547058
+0.00664742
+0.00815527
+0.00992104
+0.0117464
+0.0136017
+0.015471
+0.0173972
+0.0192978
+0.0212542
+0.0232525
+0.0252827
+0.0272678
+0.0292677
+0.0312908
+0.0333338
+0.0353944
+0.0374698
+0.0395576
+0.041656
+0.0437634
+0.0436081
+0.0434368
+0.0432578
+0.0431781
+0.0432094
+0.0432834
+0.0434275
+0.043681
+0.0440331
+0.0444801
+0.0450293
+0.0456771
+0.04636
+0.0471145
+0.0479292
+0.048745
+0.049562
+0.0502141
+0.050927
+0.0515387
+0.0521145
+0.052743
+0.0533994
+0.0541364
+0.0549509
+0.0558395
+0.0567969
+0.0578202
+0.0588927
+0.0598016
+0.0633515
+0.0622726
+0.0612098
+0.0602064
+0.0592671
+0.0583243
+0.057309
+0.0563605
+0.0554823
+0.054663
+0.0537999
+0.053005
+0.0522718
+0.0515672
+0.0504781
+0.0484292
+0.0463932
+0.044372
+0.0423676
+0.0403826
+0.0384199
+0.0364832
+0.0345694
+0.0326863
+0.0307978
+0.0289308
+0.0271124
+0.0253529
+0.0236655
+0.0220667
+0.0205442
+0.0191477
+0.017911
+0.0168262
+0.0159572
+0.0153539
+0.0150482
+0.0150246
+0.0134351
+0.0116642
+0.0097895
+0.00805752
+0.00642413
+0.00486119
+0.00345725
+0.00262646
+0.00220858
+0.00225404
+0.00266145
+0.00360822
+0.00507369
+0.00693213
+0.00873885
+0.0105866
+0.0125195
+0.0144872
+0.0164323
+0.0184326
+0.0204719
+0.0225004
+0.0244929
+0.0265166
+0.028565
+0.0306331
+0.0327172
+0.0348143
+0.0369223
+0.0390395
+0.0407492
+0.0421045
+0.0424337
+0.042257
+0.0420692
+0.0419873
+0.0420064
+0.0420424
+0.0421923
+0.0424548
+0.0428093
+0.0432689
+0.0438333
+0.0444985
+0.0452503
+0.0460431
+0.0468136
+0.0476484
+0.048437
+0.0490936
+0.0498226
+0.05051
+0.0510535
+0.0516537
+0.0523237
+0.0530756
+0.0539062
+0.0548118
+0.0557887
+0.0566877
+0.0575271
+0.0584366
+0.0622314
+0.0611328
+0.0600513
+0.0590295
+0.0580231
+0.0569371
+0.0559043
+0.0549322
+0.0540314
+0.0532056
+0.0524426
+0.0517091
+0.0509662
+0.0503077
+0.0497251
+0.0490529
+0.0470732
+0.0450825
+0.0431111
+0.0411337
+0.0391548
+0.0371988
+0.0352625
+0.0333578
+0.0314902
+0.0296669
+0.0278859
+0.026162
+0.0244997
+0.0229264
+0.0214617
+0.0201293
+0.0189413
+0.0179077
+0.0170938
+0.016532
+0.0162485
+0.0151205
+0.0132426
+0.0112309
+0.00928199
+0.00734347
+0.00546172
+0.00371598
+0.00208717
+0.000811281
+0.000271408
+0.000207572
+0.000733972
+0.00202538
+0.00394391
+0.00572621
+0.00763245
+0.00966008
+0.0116481
+0.0136464
+0.015696
+0.0177794
+0.0197765
+0.0217978
+0.023849
+0.0259231
+0.0280149
+0.0301208
+0.032238
+0.0343644
+0.0362752
+0.037663
+0.0391242
+0.0401692
+0.0409877
+0.0410217
+0.0408202
+0.0407357
+0.040769
+0.0408121
+0.0409665
+0.0412368
+0.0416208
+0.0420974
+0.0426769
+0.0433594
+0.0440854
+0.0448572
+0.0457212
+0.0466291
+0.0473866
+0.048047
+0.0487916
+0.0493957
+0.0499596
+0.0506038
+0.0512887
+0.0520556
+0.0529021
+0.0538246
+0.0545474
+0.0553326
+0.0561923
+0.0571231
+0.0611683
+0.0600513
+0.0589499
+0.0578773
+0.0567038
+0.055592
+0.0545455
+0.0535529
+0.0526285
+0.0517803
+0.05101
+0.050309
+0.0496947
+0.0490385
+0.0484529
+0.0477947
+0.0470435
+0.0457506
+0.0437605
+0.0417822
+0.0398203
+0.0378834
+0.0359758
+0.0341021
+0.0322685
+0.0304762
+0.0287296
+0.0270477
+0.0254434
+0.0239323
+0.022533
+0.0212678
+0.0201479
+0.0191794
+0.0184217
+0.0179016
+0.0169064
+0.0149532
+0.0130589
+0.0110983
+0.00905699
+0.0069443
+0.00481592
+0.00278082
+0.000898849
+-0.000826692
+-0.00172679
+-0.00172073
+-0.000597225
+0.00102237
+0.00277029
+0.00484617
+0.00697361
+0.00897651
+0.0110262
+0.0130166
+0.0150242
+0.0170769
+0.0191588
+0.0212587
+0.0233739
+0.0254937
+0.0276246
+0.0297613
+0.0319023
+0.0332068
+0.0345788
+0.036032
+0.0375117
+0.0382615
+0.0391199
+0.0398604
+0.039653
+0.039566
+0.0395596
+0.0395978
+0.0397569
+0.0400353
+0.0404307
+0.0409397
+0.0415377
+0.0422391
+0.042942
+0.0437341
+0.0446197
+0.0455528
+0.0464105
+0.0470791
+0.0478388
+0.0483455
+0.0489215
+0.0495877
+0.050314
+0.0510955
+0.0518486
+0.0525028
+0.053228
+0.0540324
+0.0549124
+0.0558646
+0.0601514
+0.0590288
+0.0578971
+0.0566393
+0.0554397
+0.054302
+0.0532301
+0.0522131
+0.0512664
+0.0503972
+0.0496096
+0.0489062
+0.0482741
+0.0477342
+0.0472355
+0.0465872
+0.0458177
+0.0451398
+0.0444304
+0.0424778
+0.0405496
+0.0386494
+0.0367814
+0.0349448
+0.0331442
+0.0313931
+0.0297005
+0.0280769
+0.0265348
+0.0250895
+0.0237585
+0.0225621
+0.0215014
+0.0205966
+0.019893
+0.0190115
+0.0170053
+0.0150506
+0.0130866
+0.0110024
+0.00896908
+0.00686591
+0.00468959
+0.00253811
+0.000453989
+-0.00167961
+-0.0036514
+-0.00337759
+-0.00137147
+0.000220925
+0.00212112
+0.00411202
+0.00623761
+0.00825444
+0.0102584
+0.0123261
+0.0144301
+0.0165469
+0.0186707
+0.0208084
+0.0229561
+0.0251112
+0.027272
+0.0288942
+0.0301444
+0.0314975
+0.0329408
+0.0344631
+0.0355964
+0.0363857
+0.0372873
+0.0382733
+0.038535
+0.0384455
+0.0384306
+0.0384699
+0.0386336
+0.0389201
+0.0393267
+0.0398421
+0.0404557
+0.0411503
+0.0418635
+0.0426593
+0.0435456
+0.0445221
+0.0455021
+0.0461949
+0.0468351
+0.0473282
+0.0479164
+0.0485964
+0.0493644
+0.0499738
+0.0505621
+0.0512245
+0.0519675
+0.0527911
+0.0536915
+0.0546645
+0.0591978
+0.0580514
+0.0567442
+0.0554603
+0.0542346
+0.0530711
+0.0519737
+0.0509306
+0.0499596
+0.0490672
+0.0482579
+0.0475358
+0.046905
+0.0463571
+0.0458993
+0.0454438
+0.0446659
+0.0439702
+0.0433742
+0.0428679
+0.0413822
+0.0395155
+0.0376785
+0.0358813
+0.0341301
+0.0324323
+0.0307969
+0.0292342
+0.0277565
+0.0263782
+0.0251157
+0.0239766
+0.0229607
+0.0221157
+0.0213498
+0.019338
+0.017364
+0.0152322
+0.0131197
+0.0110371
+0.00897789
+0.00682768
+0.00465414
+0.00248915
+0.000400412
+-0.00166618
+-0.00294918
+-0.00343705
+-0.00170331
+2.69592e-05
+0.00186254
+0.00368598
+0.00568635
+0.00773293
+0.00982514
+0.0119527
+0.0140987
+0.0162494
+0.0184075
+0.0205726
+0.0227425
+0.0248001
+0.0258778
+0.0270901
+0.0284197
+0.0298511
+0.0313703
+0.0329492
+0.0337146
+0.034547
+0.0354911
+0.036521
+0.0374647
+0.0373852
+0.0373228
+0.0373889
+0.0375643
+0.0378582
+0.0382518
+0.0387654
+0.0393833
+0.0400934
+0.0408044
+0.041615
+0.0425232
+0.0435227
+0.0445617
+0.0453677
+0.0458856
+0.0463888
+0.0468914
+0.0474884
+0.0481778
+0.0487364
+0.0493342
+0.0500094
+0.0507703
+0.0516121
+0.0525132
+0.0534889
+0.058311
+0.0570108
+0.0556459
+0.0543351
+0.0530824
+0.0518919
+0.0507681
+0.0497115
+0.0487162
+0.0478007
+0.0469695
+0.0462274
+0.0455785
+0.0450269
+0.0445732
+0.0441938
+0.0435896
+0.0428803
+0.0422687
+0.0417446
+0.0412838
+0.0404648
+0.038673
+0.0369242
+0.0352249
+0.0335825
+0.0320059
+0.0305052
+0.0290921
+0.0277802
+0.026582
+0.0254825
+0.024529
+0.0237399
+0.0218616
+0.0197413
+0.0176248
+0.0155288
+0.0134629
+0.0112948
+0.00913107
+0.00698193
+0.00486683
+0.00286295
+0.0012588
+-0.000256982
+-0.00127158
+-0.00155605
+-0.000964547
+5.88572e-05
+0.00164843
+0.00355519
+0.00559815
+0.00770988
+0.00981697
+0.011946
+0.014093
+0.0162444
+0.0184032
+0.0205687
+0.0218776
+0.0228833
+0.024047
+0.025347
+0.0267634
+0.0282788
+0.0298596
+0.0311227
+0.0318723
+0.0327516
+0.0337365
+0.0348183
+0.0360011
+0.0363083
+0.0362441
+0.0363121
+0.0365079
+0.0367857
+0.0371906
+0.0377186
+0.0383544
+0.039087
+0.0398122
+0.0406426
+0.041572
+0.0425247
+0.0435492
+0.0443806
+0.0447522
+0.0451719
+0.0456865
+0.0462991
+0.0470058
+0.0475677
+0.0481712
+0.048861
+0.0496188
+0.0504605
+0.0513818
+0.0523652
+0.057426
+0.0559937
+0.0546034
+0.0532669
+0.0519885
+0.0507724
+0.0496232
+0.0485458
+0.0475387
+0.0466
+0.045747
+0.0449847
+0.0443176
+0.0437502
+0.0432863
+0.0429293
+0.0425667
+0.0418495
+0.0412222
+0.0406925
+0.0402168
+0.0398461
+0.0395799
+0.0380647
+0.0364186
+0.0348326
+0.0333152
+0.0318762
+0.0305267
+0.0292791
+0.0281198
+0.027082
+0.0261869
+0.0244011
+0.0222964
+0.02021
+0.0181385
+0.0160009
+0.0138798
+0.0117843
+0.00972995
+0.00774873
+0.00585165
+0.00421763
+0.00270856
+0.00134882
+0.000270464
+0.000550407
+-0.000401466
+0.000576229
+0.00237548
+0.00427
+0.00623355
+0.00818699
+0.0102201
+0.0123074
+0.0144239
+0.0165324
+0.0182601
+0.0190107
+0.0199205
+0.02102
+0.0222812
+0.0236784
+0.0251888
+0.0267719
+0.0284291
+0.0292813
+0.0300768
+0.0310071
+0.0320356
+0.0331729
+0.0344123
+0.0353267
+0.0352599
+0.0353274
+0.0355057
+0.0358152
+0.0362309
+0.0367727
+0.0374256
+0.038132
+0.038896
+0.0397398
+0.0405985
+0.0415551
+0.0426029
+0.0432168
+0.0435956
+0.0440196
+0.0445475
+0.0451755
+0.0458956
+0.0464648
+0.0470576
+0.0477436
+0.0485189
+0.0493694
+0.0502923
+0.0512921
+0.0563663
+0.0549997
+0.0536273
+0.0522688
+0.0509653
+0.0497241
+0.0485502
+0.0474484
+0.0464239
+0.0454725
+0.044598
+0.0438157
+0.0431305
+0.0425473
+0.0420701
+0.0417027
+0.041448
+0.0408954
+0.0402649
+0.0397054
+0.0392178
+0.0388478
+0.0385786
+0.0384287
+0.037702
+0.0361722
+0.0347134
+0.0333349
+0.0320468
+0.0308428
+0.0297388
+0.0287596
+0.0270484
+0.0249747
+0.0229052
+0.0207961
+0.0187056
+0.016641
+0.0146131
+0.0126117
+0.0106707
+0.00884565
+0.00720951
+0.0057466
+0.00430611
+0.00286479
+0.00230102
+0.00167772
+0.00159676
+0.00215313
+0.00364166
+0.00525433
+0.0071226
+0.00910599
+0.0110287
+0.0129867
+0.0150091
+0.0155385
+0.0162245
+0.0170059
+0.0180172
+0.0192259
+0.0205973
+0.0221011
+0.023687
+0.0253565
+0.0266176
+0.0274911
+0.028337
+0.0293163
+0.0303975
+0.0315939
+0.0328928
+0.0342826
+0.03436
+0.0344293
+0.0346122
+0.0349317
+0.035381
+0.0359356
+0.0365551
+0.0372255
+0.0380093
+0.0388228
+0.0397013
+0.040679
+0.0417488
+0.0421348
+0.0425113
+0.042946
+0.0434869
+0.04413
+0.0448576
+0.0453942
+0.0460008
+0.0466964
+0.0474693
+0.0483292
+0.0492715
+0.0502842
+0.0553094
+0.053916
+0.0525771
+0.0512919
+0.0500029
+0.0487379
+0.0475402
+0.0464151
+0.045368
+0.0443976
+0.0435087
+0.0427096
+0.0420064
+0.0414073
+0.0409169
+0.0405391
+0.0402654
+0.0400327
+0.0393922
+0.038801
+0.0383181
+0.0379394
+0.0376782
+0.0375247
+0.0374988
+0.0372203
+0.0361904
+0.0348702
+0.0336309
+0.0324739
+0.0314273
+0.0297828
+0.027718
+0.0256303
+0.0235615
+0.0215076
+0.0194686
+0.0174663
+0.0155138
+0.0136331
+0.0118594
+0.0102482
+0.0087711
+0.00728309
+0.00586302
+0.00479781
+0.00386318
+0.00351317
+0.00376637
+0.00374666
+0.00453995
+0.00598537
+0.00770923
+0.00962483
+0.0116379
+0.0126577
+0.0129866
+0.0134478
+0.0141695
+0.015053
+0.0161867
+0.0175221
+0.0190168
+0.020606
+0.022291
+0.0237273
+0.0248151
+0.0257629
+0.0266637
+0.0276906
+0.0288329
+0.0300915
+0.0314525
+0.0329032
+0.0335766
+0.0336268
+0.033814
+0.0341409
+0.0346038
+0.0351469
+0.0357096
+0.0363958
+0.0371983
+0.0379994
+0.0388965
+0.0398939
+0.0408541
+0.041141
+0.0415095
+0.0419546
+0.0425081
+0.043161
+0.0438755
+0.0443948
+0.0450038
+0.0457004
+0.0464898
+0.0473674
+0.0483207
+0.0493417
+0.0543203
+0.0529009
+0.0515356
+0.0502288
+0.0489824
+0.0477877
+0.0466055
+0.0454572
+0.0443875
+0.0433952
+0.0424853
+0.0416666
+0.0409455
+0.0403307
+0.039827
+0.0394387
+0.0391573
+0.0389854
+0.038597
+0.0379935
+0.0375084
+0.0371381
+0.036874
+0.0367172
+0.0366907
+0.0367169
+0.0364961
+0.036406
+0.0352691
+0.0341677
+0.0325701
+0.0304839
+0.0284134
+0.0263624
+0.0243357
+0.02234
+0.0203834
+0.0184789
+0.016645
+0.0149078
+0.0133051
+0.0117615
+0.0102884
+0.00892417
+0.00755528
+0.00639017
+0.00572184
+0.00557592
+0.00556596
+0.00543169
+0.00603195
+0.00721216
+0.00872829
+0.0104724
+0.0105656
+0.0107264
+0.0108466
+0.0113947
+0.0121559
+0.0131751
+0.0144569
+0.0159379
+0.0175311
+0.0192359
+0.0208882
+0.0219648
+0.0230796
+0.0240992
+0.0250598
+0.0261476
+0.0273544
+0.028678
+0.030103
+0.0316156
+0.032848
+0.0329181
+0.0331092
+0.033426
+0.0338164
+0.034297
+0.0348735
+0.0355758
+0.0363734
+0.0371808
+0.0380972
+0.0391149
+0.0399488
+0.0402421
+0.0405959
+0.041051
+0.0416165
+0.0422831
+0.0429474
+0.0434664
+0.0440785
+0.0447894
+0.0455946
+0.0464809
+0.0474405
+0.04848
+0.0534004
+0.0519562
+0.0505657
+0.0492334
+0.0479642
+0.0467633
+0.0456166
+0.0445472
+0.0434946
+0.0424822
+0.0415524
+0.0407149
+0.0399766
+0.0393466
+0.0388302
+0.0384318
+0.038143
+0.0379665
+0.0378977
+0.0372973
+0.036803
+0.0364339
+0.0361759
+0.0360221
+0.035995
+0.0361012
+0.0361066
+0.0360155
+0.0360575
+0.0353278
+0.0332702
+0.0312308
+0.0292133
+0.0272226
+0.0252641
+0.0233467
+0.0214816
+0.0196837
+0.0179731
+0.0163209
+0.0147646
+0.0132746
+0.0118786
+0.0104964
+0.00919216
+0.00822529
+0.0077242
+0.00770958
+0.00742582
+0.00732572
+0.00779536
+0.00875409
+0.00943542
+0.0090216
+0.00890629
+0.00858201
+0.00873176
+0.00938792
+0.0102154
+0.0114093
+0.012868
+0.014466
+0.0161972
+0.0178072
+0.0191186
+0.0202847
+0.0214069
+0.0225216
+0.0235467
+0.0247026
+0.0259766
+0.0273669
+0.0288567
+0.0304314
+0.0320683
+0.0323397
+0.0324623
+0.0327178
+0.0330975
+0.0335518
+0.0341409
+0.0348388
+0.0355849
+0.0364098
+0.0373451
+0.0383828
+0.0391278
+0.0394273
+0.0397821
+0.0402464
+0.040823
+0.0415025
+0.0421012
+0.0426204
+0.0432444
+0.0439688
+0.0447802
+0.0456704
+0.0466466
+0.0477035
+0.0525378
+0.0510721
+0.0496568
+0.0482995
+0.0470051
+0.045779
+0.0446268
+0.0435544
+0.0425495
+0.0416211
+0.040716
+0.0398609
+0.0391066
+0.0384623
+0.0379338
+0.037526
+0.0372301
+0.0370492
+0.0369947
+0.0367041
+0.0362166
+0.0358415
+0.0355792
+0.0354428
+0.0354214
+0.0355293
+0.0357712
+0.0357552
+0.0357975
+0.0359735
+0.034097
+0.0321101
+0.0301507
+0.0282251
+0.0263411
+0.024508
+0.0227384
+0.0210195
+0.0193468
+0.017787
+0.0162989
+0.0148664
+0.0134817
+0.0121172
+0.0110217
+0.0101944
+0.00979462
+0.00965544
+0.00941771
+0.00933898
+0.00973383
+0.00931487
+0.00836709
+0.00779677
+0.00687852
+0.00646872
+0.00666612
+0.0073565
+0.00838681
+0.00980409
+0.011417
+0.0131862
+0.0147211
+0.0163116
+0.0174449
+0.0186724
+0.0198283
+0.0210541
+0.0221472
+0.0233739
+0.0247165
+0.0261739
+0.0277278
+0.0293546
+0.0310294
+0.0317727
+0.0318834
+0.0321435
+0.0324728
+0.0329357
+0.0335157
+0.0341644
+0.0349018
+0.0357425
+0.0366948
+0.0377504
+0.0383838
+0.0386891
+0.0390744
+0.0395469
+0.0401336
+0.0408245
+0.0413434
+0.0418719
+0.0425069
+0.0432348
+0.0440473
+0.0449521
+0.0459435
+0.0470162
+0.0517206
+0.0502466
+0.0488263
+0.0474484
+0.0461302
+0.0448801
+0.0437043
+0.0426086
+0.0415955
+0.0406535
+0.0397897
+0.0390299
+0.0383421
+0.0376848
+0.0371452
+0.0367286
+0.0364236
+0.036213
+0.0361342
+0.0361651
+0.03574
+0.0353738
+0.0351093
+0.0349711
+0.0349698
+0.0350851
+0.0353301
+0.0356279
+0.0356704
+0.0358469
+0.0350406
+0.0331095
+0.0312128
+0.029357
+0.0275504
+0.0257926
+0.0240529
+0.0223925
+0.0208304
+0.0193463
+0.0178918
+0.0165086
+0.0150999
+0.0138953
+0.012931
+0.0122012
+0.011794
+0.0115873
+0.0114823
+0.0107897
+0.00975209
+0.00870764
+0.00748493
+0.00620345
+0.00496396
+0.00439619
+0.00468184
+0.00543098
+0.00675862
+0.00838821
+0.0102253
+0.0116356
+0.0132343
+0.0146331
+0.0158822
+0.0171158
+0.0183756
+0.0196443
+0.0208728
+0.0221817
+0.0235923
+0.0251129
+0.0267138
+0.0283579
+0.0300568
+0.0313076
+0.03142
+0.0316613
+0.0319862
+0.0324284
+0.0329601
+0.0336089
+0.0343416
+0.0351956
+0.0361624
+0.0370718
+0.0377524
+0.0380627
+0.0384785
+0.0389582
+0.0395537
+0.0402497
+0.0406895
+0.0412264
+0.0418619
+0.0425881
+0.0434128
+0.0443305
+0.0453355
+0.0464223
+0.0509845
+0.0494885
+0.0480459
+0.0466615
+0.0453408
+0.044072
+0.0428739
+0.0417565
+0.0407219
+0.0397669
+0.0388834
+0.0381055
+0.0374398
+0.0368799
+0.0364304
+0.0360215
+0.035684
+0.0354691
+0.0353887
+0.0354437
+0.0353223
+0.0350092
+0.034762
+0.0346317
+0.0346304
+0.0347675
+0.0350207
+0.0354016
+0.0356776
+0.0358407
+0.0356582
+0.03422
+0.0323884
+0.030604
+0.0288232
+0.027101
+0.0254509
+0.0238878
+0.0224074
+0.0209384
+0.0195356
+0.018025
+0.0166662
+0.0154991
+0.0145698
+0.0139261
+0.0135707
+0.0129968
+0.0113513
+0.009918
+0.00880223
+0.00787499
+0.00665368
+0.0048204
+0.0032794
+0.00245692
+0.00280162
+0.00379923
+0.00543313
+0.00720449
+0.00855672
+0.0101676
+0.0116526
+0.0130417
+0.0143505
+0.0157049
+0.0170503
+0.0183382
+0.0196485
+0.0210907
+0.0225993
+0.0241456
+0.0257499
+0.0274354
+0.029161
+0.0308541
+0.0310779
+0.0312854
+0.0315864
+0.0320041
+0.0325427
+0.0331717
+0.0339139
+0.0347784
+0.0356171
+0.0362514
+0.0369991
+0.0375539
+0.0379924
+0.0384854
+0.0390881
+0.0397141
+0.0401446
+0.0406792
+0.0413101
+0.0420458
+0.0428809
+0.0438097
+0.0448264
+0.0459252
+0.0503141
+0.0488167
+0.047354
+0.0459488
+0.044607
+0.0433344
+0.0421374
+0.0410027
+0.0399495
+0.0389758
+0.038074
+0.0372792
+0.0365984
+0.0360382
+0.0355912
+0.0352616
+0.0350555
+0.0348375
+0.0347557
+0.0348117
+0.0350051
+0.0347266
+0.0345302
+0.0344192
+0.0344274
+0.0345652
+0.034828
+0.0352113
+0.0357251
+0.0358781
+0.0354641
+0.0350731
+0.0336304
+0.0318668
+0.0301592
+0.0285178
+0.0269546
+0.0254775
+0.0239983
+0.0224196
+0.0208879
+0.0194825
+0.0182326
+0.0171723
+0.0163384
+0.0157671
+0.0143971
+0.0125998
+0.010927
+0.00945678
+0.00807257
+0.00640872
+0.00487921
+0.00389679
+0.00214368
+0.00110607
+0.00139491
+0.00275148
+0.00427367
+0.00549956
+0.00712806
+0.00862468
+0.0100256
+0.0114742
+0.012992
+0.0144843
+0.015872
+0.0172116
+0.0185828
+0.0200998
+0.0216954
+0.0232624
+0.0249236
+0.0266614
+0.0284014
+0.0301371
+0.0308213
+0.0310146
+0.0312962
+0.0316886
+0.0322255
+0.0328751
+0.0336207
+0.0343573
+0.0348977
+0.0355463
+0.0363086
+0.0371675
+0.0376104
+0.0381328
+0.0387337
+0.0392781
+0.0397035
+0.0402305
+0.0408683
+0.0416118
+0.0424555
+0.0433934
+0.0444197
+0.0455283
+0.0497131
+0.0481969
+0.0467343
+0.0453304
+0.0439701
+0.0426786
+0.0414626
+0.0403263
+0.0392671
+0.0382939
+0.0373756
+0.0365656
+0.0358713
+0.0352996
+0.0348563
+0.0345254
+0.0343256
+0.034265
+0.034234
+0.034291
+0.0344872
+0.0345557
+0.0343835
+0.0343252
+0.0343535
+0.0345012
+0.0347644
+0.0351485
+0.0356632
+0.0355071
+0.0349796
+0.0345831
+0.0343221
+0.0332249
+0.0315908
+0.0300277
+0.0285446
+0.0269777
+0.0253542
+0.0238097
+0.0223733
+0.0210672
+0.0199171
+0.0189513
+0.0181991
+0.0162691
+0.0143723
+0.0125715
+0.0108943
+0.00918642
+0.00734488
+0.00528633
+0.00338349
+0.00191113
+0.00145616
+0.00056881
+0.00099306
+0.00160566
+0.00254101
+0.00417381
+0.00553113
+0.00699293
+0.00857577
+0.010067
+0.0117634
+0.0134434
+0.0149039
+0.0162777
+0.0177213
+0.0192999
+0.0209385
+0.0225581
+0.0242676
+0.0260492
+0.027794
+0.0295654
+0.0307031
+0.0308623
+0.0311063
+0.0315011
+0.0320324
+0.0325774
+0.0332491
+0.0337471
+0.0342971
+0.0349645
+0.0357391
+0.0366075
+0.0373533
+0.0379037
+0.0384976
+0.0389491
+0.0393657
+0.0398972
+0.0405403
+0.0412897
+0.0421398
+0.0430846
+0.0441181
+0.0452341
+0.0492023
+0.0476699
+0.0461906
+0.0447697
+0.0434128
+0.042116
+0.0408833
+0.0397333
+0.0386731
+0.037681
+0.0367727
+0.0359715
+0.0352655
+0.0346838
+0.0342326
+0.0338955
+0.033692
+0.0336302
+0.033711
+0.033904
+0.0341025
+0.0344086
+0.0343509
+0.0343178
+0.0343991
+0.0345665
+0.0348388
+0.035222
+0.0357356
+0.0351368
+0.0346037
+0.0342028
+0.0339389
+0.0338135
+0.0331055
+0.0315842
+0.0299339
+0.0283136
+0.0267712
+0.0253133
+0.0239672
+0.0227528
+0.021646
+0.0197788
+0.0179847
+0.0161479
+0.0143649
+0.0123566
+0.0103153
+0.0083462
+0.00652001
+0.00467489
+0.0027261
+0.000656376
+-0.000250142
+-0.000405447
+-0.000967468
+-4.57716e-05
+0.00138208
+0.00243907
+0.00406006
+0.00556958
+0.00728662
+0.00897381
+0.0108426
+0.0125718
+0.0141883
+0.0155876
+0.0170761
+0.0187033
+0.0203898
+0.0220498
+0.0237958
+0.0255276
+0.0273008
+0.0291308
+0.0307233
+0.0308258
+0.0310701
+0.0313975
+0.0318028
+0.0323425
+0.0327742
+0.0331759
+0.0337078
+0.0343713
+0.035159
+0.0360628
+0.0370709
+0.037793
+0.0383854
+0.038719
+0.0391368
+0.0396714
+0.0403181
+0.0410715
+0.041926
+0.0428756
+0.0439139
+0.045035
+0.0487847
+0.0472388
+0.0457455
+0.0443103
+0.0429389
+0.0416377
+0.0404071
+0.0392476
+0.038174
+0.037184
+0.0362632
+0.035454
+0.0347642
+0.0341908
+0.0337398
+0.0333977
+0.0331912
+0.0331285
+0.0332105
+0.0334361
+0.0337778
+0.0341948
+0.0343969
+0.0344248
+0.034531
+0.0347502
+0.0350445
+0.0354311
+0.0355381
+0.0348971
+0.0343602
+0.0339565
+0.0336906
+0.0335659
+0.0335624
+0.0329162
+0.031297
+0.029751
+0.028287
+0.0269114
+0.0255699
+0.0236066
+0.021687
+0.0198236
+0.0179154
+0.0160299
+0.0139639
+0.0118262
+0.00971205
+0.00764119
+0.00566126
+0.00364245
+0.00167184
+0.000223688
+-0.00127739
+-0.00235872
+-0.00293493
+-0.00140612
+-0.000650321
+0.00113586
+0.00270455
+0.00447727
+0.00642705
+0.0082068
+0.00996151
+0.0117581
+0.0136639
+0.0151624
+0.0166889
+0.0183504
+0.0200395
+0.0216712
+0.02335
+0.0250858
+0.0268881
+0.0287445
+0.0306436
+0.0309198
+0.0310438
+0.031294
+0.0316913
+0.0320333
+0.032296
+0.0326956
+0.0332352
+0.0339079
+0.0347061
+0.0356214
+0.0366416
+0.03774
+0.0382997
+0.0385979
+0.039017
+0.0395532
+0.0402018
+0.0409574
+0.0418142
+0.0427662
+0.0438072
+0.0449309
+0.0484232
+0.0468852
+0.0454008
+0.0439554
+0.0425726
+0.0412598
+0.0400176
+0.0388542
+0.0377821
+0.0368069
+0.0358765
+0.0350584
+0.0343606
+0.0337846
+0.0333382
+0.0330313
+0.0328292
+0.0327658
+0.0328487
+0.0330768
+0.0334222
+0.0338929
+0.0344434
+0.0346532
+0.0347757
+0.0350182
+0.0353642
+0.0357678
+0.0353924
+0.0347787
+0.0342554
+0.0338504
+0.0335837
+0.0334586
+0.0334551
+0.0335886
+0.03275
+0.031276
+0.0297838
+0.027773
+0.0257914
+0.0238464
+0.0219456
+0.0200047
+0.0180717
+0.0158912
+0.013704
+0.0115181
+0.00933441
+0.00715508
+0.0049857
+0.00284912
+0.000885404
+-0.000830925
+-0.0026577
+-0.00387209
+-0.00447716
+-0.00323574
+-0.00150767
+0.00023274
+0.00196356
+0.00353665
+0.00523669
+0.00690575
+0.00877415
+0.0107627
+0.0128173
+0.0149107
+0.0164971
+0.0180865
+0.019762
+0.0213736
+0.023054
+0.0248105
+0.0266315
+0.0285046
+0.0304201
+0.0309564
+0.0310503
+0.0312977
+0.0315803
+0.0316956
+0.0319529
+0.0323568
+0.0329019
+0.0335813
+0.0343871
+0.0353087
+0.0363163
+0.0374243
+0.0383027
+0.0386009
+0.03902
+0.0395561
+0.0402047
+0.0409602
+0.041817
+0.042769
+0.0438098
+0.0449335
+0.0481405
+0.0465932
+0.0450991
+0.043664
+0.0422936
+0.0409866
+0.0397361
+0.0385696
+0.0374934
+0.036513
+0.0356071
+0.0347826
+0.0340793
+0.0335047
+0.0330655
+0.0327574
+0.0325927
+0.0325468
+0.0326303
+0.0328599
+0.0332075
+0.0336812
+0.0342717
+0.0348474
+0.0351553
+0.0353953
+0.035768
+0.0357787
+0.0351144
+0.0345764
+0.0341683
+0.033872
+0.0336195
+0.0334946
+0.033491
+0.0336244
+0.0338991
+0.0321369
+0.0301253
+0.0281338
+0.0261741
+0.024254
+0.0223095
+0.0203271
+0.0181456
+0.0159667
+0.0137914
+0.011622
+0.00946239
+0.00732125
+0.00522137
+0.00316626
+0.00105989
+-0.00107747
+-0.00322806
+-0.00537459
+-0.00607839
+-0.00419271
+-0.00245977
+-0.000902081
+0.000643505
+0.00223272
+0.00390657
+0.00590884
+0.00801035
+0.010138
+0.0122832
+0.014442
+0.0164575
+0.0180308
+0.0196748
+0.0212601
+0.0229449
+0.0247092
+0.0265371
+0.0284164
+0.0302413
+0.0311148
+0.0312083
+0.0313331
+0.0313715
+0.0314793
+0.0317383
+0.0321449
+0.0326936
+0.0333772
+0.0341879
+0.0351065
+0.0361189
+0.0372328
+0.0384309
+0.0387281
+0.0391458
+0.0396802
+0.0403267
+0.0410801
+0.0419344
+0.0428837
+0.0439219
+0.0450428
+0.0479564
+0.0464029
+0.0449025
+0.0434608
+0.0420839
+0.0407781
+0.0395482
+0.0383829
+0.037308
+0.0363282
+0.0354174
+0.0346153
+0.0339263
+0.0333567
+0.0329191
+0.0326194
+0.0324633
+0.0324452
+0.0325357
+0.032766
+0.0331367
+0.0336114
+0.034203
+0.0349223
+0.0355176
+0.0359022
+0.0362699
+0.035565
+0.0348967
+0.0343552
+0.0339468
+0.033672
+0.0334871
+0.033445
+0.0335454
+0.0337632
+0.0340757
+0.0325909
+0.0306031
+0.0286448
+0.0265267
+0.0243435
+0.0221619
+0.0199822
+0.0178052
+0.015632
+0.0134646
+0.011306
+0.00916281
+0.00704881
+0.00500128
+0.00287339
+0.000703621
+-0.00146635
+-0.0036189
+-0.00576758
+-0.00713774
+-0.00539041
+-0.00380634
+-0.00198492
+-0.000407459
+0.00127414
+0.00337263
+0.0055387
+0.00771869
+0.0099034
+0.0119794
+0.0139912
+0.0160466
+0.0180916
+0.0197912
+0.0213676
+0.0230445
+0.0248018
+0.0266233
+0.0279501
+0.0292891
+0.0307188
+0.0313231
+0.0312136
+0.0312574
+0.0314045
+0.0316642
+0.0320717
+0.0326216
+0.0333067
+0.034119
+0.0350394
+0.0360537
+0.0371696
+0.0383781
+0.0389781
+0.0393932
+0.0399243
+0.0405669
+0.0413159
+0.0421654
+0.0431097
+0.0441426
+0.0452579
+0.0478664
+0.0463155
+0.0448122
+0.0433675
+0.0419875
+0.0406787
+0.0394482
+0.038301
+0.0372256
+0.0362503
+0.0353554
+0.0345518
+0.0338711
+0.0333185
+0.0328849
+0.0325888
+0.0324344
+0.0324275
+0.0325581
+0.0328123
+0.0331854
+0.0336712
+0.0342745
+0.0349923
+0.0358296
+0.0364147
+0.0362651
+0.0354772
+0.0348071
+0.0342643
+0.0338547
+0.0335834
+0.0334215
+0.0333793
+0.0334808
+0.0337237
+0.0340814
+0.0330157
+0.0308251
+0.0286344
+0.0264438
+0.0242532
+0.0220626
+0.0198721
+0.0176815
+0.015491
+0.0133006
+0.0111103
+0.00892013
+0.00673034
+0.00454141
+0.00235576
+0.000200827
+-0.00185229
+-0.00390998
+-0.00603568
+-0.0081262
+-0.00629463
+-0.00439948
+-0.00253822
+-0.000561319
+0.00146515
+0.00353419
+0.00561418
+0.00763669
+0.00961327
+0.0116603
+0.0136958
+0.0157416
+0.0178186
+0.0199102
+0.0216361
+0.0230677
+0.0245349
+0.0257939
+0.0270795
+0.0284739
+0.0299377
+0.031342
+0.0312325
+0.0312763
+0.0314452
+0.0317414
+0.0321479
+0.0326965
+0.0333801
+0.0341907
+0.0351092
+0.0361215
+0.0372354
+0.0384419
+0.0393487
+0.0397599
+0.0402862
+0.0409232
+0.0416657
+0.0425083
+0.0434451
+0.0444701
+0.0455602
+0.047857
+0.0463077
+0.0448119
+0.0433753
+0.0420022
+0.0406939
+0.0394639
+0.0383197
+0.0372563
+0.0362819
+0.0354163
+0.0346272
+0.0339479
+0.0333989
+0.0329864
+0.0326957
+0.0325418
+0.032535
+0.0326664
+0.0329335
+0.0333427
+0.0338583
+0.0344631
+0.0351771
+0.0360103
+0.0368914
+0.0362647
+0.0355006
+0.0348553
+0.0343132
+0.0339043
+0.0336333
+0.0334994
+0.0334573
+0.0335585
+0.0338016
+0.0341829
+0.0330841
+0.0309016
+0.0287204
+0.0265407
+0.0243604
+0.0221804
+0.0200027
+0.0178282
+0.0156583
+0.013495
+0.0113423
+0.00920057
+0.00707009
+0.00488511
+0.00270028
+0.000518723
+-0.00164113
+-0.00374046
+-0.00572889
+-0.00659544
+-0.00576071
+-0.0043353
+-0.00253917
+-0.000617306
+0.00138501
+0.00340777
+0.00537532
+0.00733897
+0.00937703
+0.0114385
+0.0135371
+0.0156296
+0.0177233
+0.0195571
+0.0208864
+0.022282
+0.0237074
+0.0249939
+0.0263192
+0.0277543
+0.0292746
+0.0307727
+0.0311489
+0.031193
+0.0313613
+0.0316799
+0.032145
+0.0327389
+0.0334548
+0.0342907
+0.035243
+0.0363027
+0.0374173
+0.0385941
+0.0398365
+0.0402427
+0.0407628
+0.0413924
+0.0421267
+0.0429602
+0.0438115
+0.0447453
+0.045765
+0.0479341
+0.0463873
+0.0448942
+0.0434603
+0.04209
+0.0407845
+0.0395573
+0.0384159
+0.0373682
+0.0364222
+0.0355726
+0.0348274
+0.034164
+0.0336185
+0.0332088
+0.0329352
+0.0327824
+0.0327757
+0.0329151
+0.0331856
+0.0335917
+0.0341339
+0.0347842
+0.0354917
+0.0363177
+0.0372417
+0.0363663
+0.0356044
+0.0349633
+0.0344498
+0.0340698
+0.0338254
+0.0336965
+0.0336779
+0.0337784
+0.03402
+0.0343997
+0.0331675
+0.0309909
+0.0288165
+0.0266447
+0.0244763
+0.0223122
+0.0201465
+0.0179784
+0.0158164
+0.0136636
+0.0115251
+0.00937824
+0.00722551
+0.00510517
+0.00305264
+0.00114212
+-0.000927869
+-0.00269058
+-0.00417908
+-0.00479748
+-0.00440767
+-0.00346607
+-0.00184877
+-8.28205e-05
+0.00178619
+0.00356718
+0.00551999
+0.00751286
+0.0094739
+0.0114986
+0.0135628
+0.0156615
+0.0174675
+0.0189316
+0.0202537
+0.0216735
+0.0230076
+0.0243535
+0.0257118
+0.027179
+0.0286167
+0.0300806
+0.0310886
+0.0311328
+0.0313286
+0.0316346
+0.0320876
+0.0326815
+0.0333983
+0.0342355
+0.0351893
+0.0362373
+0.0373725
+0.0385988
+0.0399078
+0.0408375
+0.0413353
+0.0418898
+0.0425301
+0.0432701
+0.0441067
+0.0450343
+0.0460159
+0.0476863
+0.04657
+0.0450829
+0.0436552
+0.0422913
+0.0409921
+0.0397713
+0.0386362
+0.0375947
+0.0366546
+0.0358239
+0.0350939
+0.0344508
+0.0339249
+0.0335189
+0.0332526
+0.0331293
+0.0331507
+0.0332974
+0.0335778
+0.0339804
+0.0345165
+0.035181
+0.0359373
+0.0367534
+0.037448
+0.036584
+0.0358333
+0.0352031
+0.0346954
+0.034318
+0.0340776
+0.033977
+0.0339727
+0.0340996
+0.0343659
+0.0347526
+0.0333948
+0.031234
+0.0290778
+0.0269207
+0.0247643
+0.0226144
+0.0204732
+0.0183437
+0.0162305
+0.0141295
+0.0120293
+0.00996713
+0.0079429
+0.00599662
+0.00392864
+0.0019936
+0.000318955
+-0.00122824
+-0.00254163
+-0.00292951
+-0.0027438
+-0.00202927
+-0.000988455
+0.000702002
+0.00239635
+0.0040747
+0.00595075
+0.00784919
+0.00976043
+0.0115155
+0.0133995
+0.015365
+0.0172501
+0.0184925
+0.0198186
+0.0211845
+0.0224544
+0.0238432
+0.0252099
+0.0266087
+0.0280677
+0.0295352
+0.0310463
+0.0312265
+0.0314217
+0.0317268
+0.0321721
+0.0327486
+0.0334589
+0.0342946
+0.0352468
+0.0362923
+0.0374258
+0.0386504
+0.0399577
+0.0413397
+0.0417871
+0.0423013
+0.0428904
+0.0435817
+0.0443706
+0.0452518
+0.0461852
+0.0473996
+0.0468545
+0.0453759
+0.0439532
+0.0425953
+0.041309
+0.0401012
+0.0389783
+0.0379465
+0.0370153
+0.036193
+0.0354708
+0.0348347
+0.0343269
+0.033953
+0.033705
+0.0335834
+0.0336045
+0.0337679
+0.0340635
+0.0344772
+0.0350232
+0.0356767
+0.0364434
+0.0373128
+0.0377767
+0.0369204
+0.0361767
+0.0355526
+0.035048
+0.0346744
+0.0344364
+0.0343367
+0.0343767
+0.034514
+0.0347772
+0.0351751
+0.0337572
+0.0316117
+0.0294728
+0.0273421
+0.0252217
+0.0231145
+0.0210242
+0.018956
+0.0168876
+0.0148482
+0.0128382
+0.0108413
+0.00882114
+0.0068738
+0.00494095
+0.00323666
+0.0017616
+0.00024039
+-0.000705329
+-0.0011252
+-0.00102369
+-0.000324923
+0.000475979
+0.00136528
+0.00284724
+0.00458091
+0.00642976
+0.00808803
+0.00969516
+0.0114602
+0.013352
+0.0153236
+0.0170752
+0.0182677
+0.0195418
+0.0208094
+0.0220925
+0.0234261
+0.0248225
+0.026198
+0.0276501
+0.0291104
+0.0306221
+0.0314727
+0.0316634
+0.03195
+0.0323825
+0.0329553
+0.0336612
+0.034492
+0.035439
+0.0364789
+0.0376068
+0.0388257
+0.0401273
+0.0415037
+0.0421575
+0.0426361
+0.0431832
+0.0438276
+0.0445705
+0.045407
+0.0463298
+0.0471945
+0.0466612
+0.0457528
+0.0443419
+0.0429963
+0.0417224
+0.0405269
+0.0394164
+0.038396
+0.037476
+0.036664
+0.0359673
+0.0353505
+0.0348501
+0.0344819
+0.0342502
+0.0341514
+0.0341722
+0.0343329
+0.0346318
+0.0350509
+0.0355882
+0.03625
+0.0370299
+0.0379026
+0.0382283
+0.0373804
+0.0366395
+0.0360169
+0.0355186
+0.0351501
+0.0349154
+0.0348172
+0.0348567
+0.0350148
+0.0353006
+0.0356931
+0.0342347
+0.0321211
+0.0300185
+0.0279295
+0.0258573
+0.0238064
+0.0217636
+0.0197338
+0.0177353
+0.0157194
+0.013718
+0.0117465
+0.00978148
+0.00793557
+0.00623663
+0.00472658
+0.00320351
+0.00201067
+0.00128294
+0.000747952
+0.000563427
+0.00114983
+0.00199793
+0.00276905
+0.00380963
+0.00525349
+0.00677931
+0.00834705
+0.0100353
+0.0117626
+0.0136239
+0.0153658
+0.0170441
+0.0181907
+0.0194372
+0.0206219
+0.0219083
+0.0232067
+0.0245778
+0.0259578
+0.0271279
+0.0283047
+0.0295971
+0.0309906
+0.0319509
+0.0322637
+0.0327085
+0.0332757
+0.0339749
+0.0347983
+0.0357371
+0.0367826
+0.0379056
+0.0391151
+0.0404074
+0.0417745
+0.0424809
+0.0429127
+0.0434508
+0.0440694
+0.0447459
+0.0455178
+0.0463026
+0.0470696
+0.0465348
+0.0460981
+0.0448344
+0.043504
+0.0422442
+0.0410606
+0.0399622
+0.0389561
+0.0380496
+0.0372501
+0.0365559
+0.0359648
+0.0354775
+0.0351159
+0.0348884
+0.0347976
+0.0348445
+0.0350124
+0.0353054
+0.0357305
+0.0362768
+0.0369264
+0.0376922
+0.0385674
+0.0387285
+0.0379078
+0.0371841
+0.0365708
+0.0360802
+0.0357174
+0.0354865
+0.0353899
+0.0354287
+0.0355843
+0.0358655
+0.0362771
+0.0348436
+0.0327693
+0.0307112
+0.0286727
+0.0266452
+0.0246238
+0.0226331
+0.0206072
+0.0186053
+0.0165886
+0.014619
+0.0127218
+0.0109134
+0.00925986
+0.0077587
+0.00622745
+0.00495145
+0.00387878
+0.00319623
+0.00254142
+0.00224568
+0.00253289
+0.00331783
+0.00433057
+0.00529582
+0.0063274
+0.00748164
+0.00885884
+0.0103766
+0.0119997
+0.0136028
+0.0153091
+0.0169298
+0.0183319
+0.0194379
+0.0206496
+0.0218978
+0.0229587
+0.0238564
+0.0249149
+0.026069
+0.0272915
+0.0286297
+0.0300681
+0.031593
+0.0326827
+0.0331337
+0.0337097
+0.0344001
+0.0352135
+0.0361415
+0.0371756
+0.0383072
+0.0395085
+0.0407882
+0.0421431
+0.0428225
+0.0431862
+0.043657
+0.0441271
+0.0446368
+0.045247
+0.0459372
+0.0470464
+0.0465114
+0.0460745
+0.0454255
+0.0441099
+0.042866
+0.0417001
+0.0406189
+0.0396295
+0.0387388
+0.0379533
+0.0372558
+0.036676
+0.0362196
+0.0358699
+0.0356472
+0.0355583
+0.0356042
+0.0357844
+0.0360823
+0.0364984
+0.0370396
+0.0377005
+0.038468
+0.039326
+0.0393427
+0.0385351
+0.0378372
+0.0372375
+0.0367558
+0.0363998
+0.0361732
+0.0360785
+0.0361166
+0.0362773
+0.0365532
+0.0369572
+0.0355772
+0.0335483
+0.0315295
+0.0295167
+0.0275157
+0.0254739
+0.0234401
+0.0214373
+0.0194662
+0.0175328
+0.0156668
+0.0138959
+0.0122403
+0.0107341
+0.00929204
+0.00796547
+0.00678061
+0.005902
+0.00506083
+0.00429568
+0.00383773
+0.00398134
+0.00448515
+0.00550733
+0.00681729
+0.00758536
+0.00854624
+0.00964417
+0.0110089
+0.0123668
+0.0138851
+0.015388
+0.0169776
+0.018115
+0.0189068
+0.01987
+0.0210182
+0.0218268
+0.0227692
+0.0238747
+0.0250961
+0.0264215
+0.0278016
+0.0292807
+0.0308442
+0.0323939
+0.0336846
+0.0342627
+0.0349576
+0.0357583
+0.0366725
+0.0376921
+0.0388087
+0.0400141
+0.041282
+0.0426212
+0.0429704
+0.0431614
+0.0434621
+0.0438703
+0.044383
+0.0449798
+0.0456702
+0.0471253
+0.0465912
+0.046155
+0.0458195
+0.0448025
+0.0435783
+0.042432
+0.04137
+0.040399
+0.0395256
+0.038752
+0.038069
+0.0375018
+0.0370556
+0.0367349
+0.0365218
+0.036435
+0.0364798
+0.0366557
+0.0369609
+0.0373791
+0.0379077
+0.0385538
+0.0393114
+0.0401744
+0.0400674
+0.0392747
+0.0385902
+0.0380024
+0.0375305
+0.037182
+0.0369601
+0.0368674
+0.0369047
+0.0370716
+0.037357
+0.0377493
+0.036417
+0.0344111
+0.0323674
+0.0303211
+0.0282965
+0.0262983
+0.0243244
+0.0223815
+0.0204887
+0.0186611
+0.01692
+0.0152676
+0.0137439
+0.0123733
+0.0109862
+0.00976123
+0.00868746
+0.0076925
+0.00662157
+0.00581028
+0.00539949
+0.00544389
+0.00584554
+0.00676222
+0.00803412
+0.00910958
+0.00979987
+0.010755
+0.0117519
+0.0130307
+0.0143244
+0.0151831
+0.0155736
+0.0162033
+0.0170808
+0.0181413
+0.0193905
+0.0207572
+0.0218307
+0.022963
+0.0242304
+0.0256227
+0.0271206
+0.028635
+0.0301918
+0.0317785
+0.0334092
+0.0348907
+0.0355843
+0.0363967
+0.0373058
+0.0383085
+0.0394076
+0.0405953
+0.041864
+0.0427387
+0.0428188
+0.0430105
+0.0433123
+0.0437219
+0.0442193
+0.0448144
+0.0455073
+0.0473055
+0.0467735
+0.046339
+0.0460048
+0.0455865
+0.0443839
+0.0432589
+0.0422177
+0.0412666
+0.040412
+0.0396541
+0.038987
+0.0384333
+0.0379981
+0.0376854
+0.0374925
+0.037408
+0.0374517
+0.0376231
+0.0379204
+0.0383409
+0.0388582
+0.0394888
+0.040229
+0.0410728
+0.0408967
+0.0401204
+0.0394506
+0.0388758
+0.0384147
+0.0380742
+0.0378576
+0.0377671
+0.0378035
+0.0379665
+0.0382544
+0.0371653
+0.0355481
+0.0339952
+0.0324157
+0.0308953
+0.0291692
+0.0272103
+0.0252895
+0.0234161
+0.0216025
+0.019865
+0.0182115
+0.0166699
+0.0152635
+0.0140225
+0.0126693
+0.0115332
+0.0103188
+0.00905867
+0.0079894
+0.00730866
+0.00693545
+0.00689963
+0.00722083
+0.00797158
+0.00909833
+0.0104976
+0.0112025
+0.0118699
+0.0127729
+0.0132556
+0.0130595
+0.0131639
+0.0136218
+0.0143249
+0.0152629
+0.016441
+0.0177972
+0.0192805
+0.0208887
+0.0222306
+0.0235374
+0.0249679
+0.0264947
+0.0280821
+0.0296684
+0.0312805
+0.0329382
+0.0346529
+0.036286
+0.0370831
+0.0379899
+0.0389989
+0.040086
+0.0412541
+0.0425031
+0.0426809
+0.0427611
+0.042953
+0.0432552
+0.0436653
+0.0441598
+0.0447558
+0.0454496
+0.047586
+0.0470571
+0.0466253
+0.0462932
+0.046063
+0.0452812
+0.0441791
+0.0431601
+0.0422302
+0.0413955
+0.0406504
+0.0399999
+0.0394604
+0.0390366
+0.0387322
+0.0385502
+0.0384684
+0.0385108
+0.0386775
+0.0389668
+0.0393761
+0.0399016
+0.0405177
+0.0412394
+0.0420629
+0.0418245
+0.0410657
+0.0404116
+0.0398507
+0.0394009
+0.039069
+0.038858
+0.0387698
+0.0388053
+0.0389641
+0.037879
+0.0361611
+0.0344969
+0.0328526
+0.0311999
+0.0296171
+0.028116
+0.0267105
+0.0254032
+0.0242193
+0.0227466
+0.0210831
+0.0195224
+0.0180929
+0.0168232
+0.0156346
+0.0144094
+0.0130967
+0.0116246
+0.0103615
+0.00939197
+0.0087173
+0.00829773
+0.00822202
+0.00853994
+0.00918545
+0.010189
+0.0115013
+0.0126324
+0.0125221
+0.0116822
+0.0112016
+0.0110381
+0.0111439
+0.0116001
+0.0123806
+0.0134548
+0.0147691
+0.0162336
+0.0178474
+0.01957
+0.0211124
+0.0227585
+0.0244691
+0.0260216
+0.0276288
+0.0292777
+0.0309025
+0.0325937
+0.0343338
+0.036111
+0.0378516
+0.0387644
+0.0397607
+0.0408435
+0.0419975
+0.0427638
+0.0427317
+0.0428118
+0.0430035
+0.0433054
+0.043715
+0.044209
+0.0448042
+0.0454973
+0.0479495
+0.0474394
+0.0470111
+0.0466817
+0.0464535
+0.0462649
+0.0451868
+0.044191
+0.0432833
+0.0424693
+0.0417379
+0.0411046
+0.0405798
+0.0401678
+0.0398721
+0.0396953
+0.0396216
+0.0396628
+0.0398247
+0.0401057
+0.0405035
+0.0410146
+0.0416293
+0.0423391
+0.0431417
+0.0427884
+0.0420397
+0.0413936
+0.0408549
+0.0404244
+0.040101
+0.0398954
+0.0398095
+0.0398441
+0.0388081
+0.0370162
+0.0352646
+0.0334888
+0.031757
+0.0300768
+0.0284487
+0.0268843
+0.0254107
+0.0240349
+0.02278
+0.0216744
+0.0207418
+0.0199838
+0.0194345
+0.018482
+0.0173488
+0.0158688
+0.0143486
+0.0129698
+0.011783
+0.0107438
+0.00995363
+0.00953283
+0.00951757
+0.009887
+0.0104489
+0.011334
+0.0125333
+0.0118013
+0.0106046
+0.00965941
+0.00907442
+0.00888887
+0.00907994
+0.00963335
+0.0105335
+0.011777
+0.0132104
+0.0148296
+0.0165744
+0.0182194
+0.0198669
+0.0216081
+0.0234183
+0.0252888
+0.0272071
+0.028997
+0.0306767
+0.0323796
+0.0341307
+0.035918
+0.0377302
+0.0395483
+0.0405744
+0.0416444
+0.0427917
+0.0429265
+0.0428945
+0.0429743
+0.0431653
+0.043466
+0.0438742
+0.0443664
+0.0449596
+0.0456503
+0.0483482
+0.0478666
+0.04746
+0.0471338
+0.0469078
+0.0467833
+0.0462763
+0.0453045
+0.0444196
+0.0436268
+0.0429098
+0.042294
+0.0417842
+0.0413842
+0.0410972
+0.0409257
+0.0408598
+0.0408998
+0.0410568
+0.0413294
+0.0417155
+0.0422119
+0.0428095
+0.0435017
+0.0442915
+0.0438105
+0.0430796
+0.0424493
+0.0419242
+0.041502
+0.0411871
+0.0409869
+0.0409033
+0.0399398
+0.0380752
+0.0362472
+0.0343835
+0.0325521
+0.0307676
+0.0290375
+0.0273536
+0.0257397
+0.0242165
+0.022765
+0.0214354
+0.020256
+0.0192454
+0.0184311
+0.01785
+0.0174988
+0.0174124
+0.0171762
+0.0156636
+0.0142863
+0.0130728
+0.0120483
+0.0112709
+0.010821
+0.0107459
+0.0110562
+0.0116922
+0.0125891
+0.0118049
+0.010185
+0.00879164
+0.00768195
+0.00698336
+0.00676526
+0.00701923
+0.00771829
+0.00881624
+0.010232
+0.0118529
+0.0135852
+0.0153339
+0.0170442
+0.018795
+0.020627
+0.0225162
+0.0244557
+0.0264196
+0.0284063
+0.0303918
+0.0321253
+0.0338893
+0.0356341
+0.0374259
+0.0392581
+0.0411254
+0.0425332
+0.0431849
+0.0430633
+0.0430354
+0.0431149
+0.0433053
+0.043605
+0.0440119
+0.0445229
+0.0451347
+0.045843
+0.0488419
+0.0483652
+0.0479839
+0.0476791
+0.0474557
+0.0473327
+0.0473109
+0.0464878
+0.0456249
+0.0448439
+0.0441465
+0.0435482
+0.0430533
+0.0426652
+0.0423869
+0.0422206
+0.0421676
+0.0422125
+0.0423646
+0.0426289
+0.0430034
+0.0434851
+0.044067
+0.0447398
+0.0455081
+0.0449163
+0.0442037
+0.0435897
+0.0430784
+0.042665
+0.0423587
+0.0421641
+0.0412736
+0.0393503
+0.0374564
+0.0355267
+0.0336149
+0.0317392
+0.0299063
+0.0281232
+0.0263841
+0.0247161
+0.0231181
+0.0216107
+0.0202208
+0.018966
+0.0178812
+0.0169953
+0.0163568
+0.0159781
+0.0158834
+0.0160872
+0.0165472
+0.0154964
+0.0142676
+0.0132832
+0.012588
+0.0121809
+0.0121426
+0.0124318
+0.0130109
+0.0122802
+0.0104815
+0.00874165
+0.00715296
+0.00581934
+0.00494122
+0.00466135
+0.00503861
+0.00597489
+0.00722749
+0.00880766
+0.01057
+0.0123578
+0.0142578
+0.016083
+0.0179279
+0.0198388
+0.021782
+0.0237672
+0.0257745
+0.0277976
+0.0295173
+0.0311884
+0.0328921
+0.0346333
+0.0364205
+0.0382445
+0.0401052
+0.0419977
+0.0434174
+0.0432965
+0.0432687
+0.0433478
+0.0435372
+0.0438353
+0.0442401
+0.0447485
+0.0453572
+0.0460621
+0.0494279
+0.0489569
+0.0485802
+0.0483001
+0.0480972
+0.0479758
+0.0479543
+0.0477295
+0.0468895
+0.0461299
+0.0454522
+0.0448714
+0.0443912
+0.0440149
+0.0437452
+0.043584
+0.0435327
+0.0435906
+0.0437389
+0.043995
+0.0443579
+0.044825
+0.0453932
+0.0460489
+0.0467957
+0.0460998
+0.0454057
+0.0448082
+0.0443105
+0.0439065
+0.0436089
+0.0427904
+0.0408211
+0.0388754
+0.0368953
+0.0349211
+0.0329742
+0.0310598
+0.0291842
+0.0273441
+0.0255423
+0.0238059
+0.0221344
+0.0205549
+0.0190965
+0.0177779
+0.0166283
+0.01569
+0.0149959
+0.0145868
+0.0144831
+0.0147014
+0.0152034
+0.0159917
+0.0156347
+0.0147418
+0.0140972
+0.01371
+0.0136241
+0.0138599
+0.0132909
+0.0112564
+0.00929312
+0.00745764
+0.00570963
+0.00411816
+0.00299738
+0.00255226
+0.00310598
+0.00424818
+0.00581456
+0.0075995
+0.00945945
+0.0114224
+0.0133756
+0.0153509
+0.0172714
+0.0192231
+0.0212216
+0.0232335
+0.0249332
+0.0265435
+0.0281915
+0.0298854
+0.0316403
+0.0334397
+0.0352817
+0.0371617
+0.039074
+0.0410141
+0.0429784
+0.0436386
+0.043611
+0.0436895
+0.0438774
+0.0441732
+0.0445749
+0.0450796
+0.0456838
+0.0463838
+0.0501029
+0.0496383
+0.0492668
+0.0489906
+0.0488112
+0.0487091
+0.048688
+0.0487653
+0.0482205
+0.0474821
+0.0468241
+0.0462605
+0.0457948
+0.0454301
+0.0451689
+0.0450129
+0.0449632
+0.0450201
+0.0451777
+0.0454256
+0.0457772
+0.04623
+0.0467811
+0.047423
+0.0481207
+0.047355
+0.0466797
+0.0460986
+0.0456125
+0.0452201
+0.044439
+0.042462
+0.0404768
+0.0384653
+0.0364445
+0.0344444
+0.0324689
+0.0305165
+0.0285958
+0.0266994
+0.024851
+0.0230626
+0.0213309
+0.0196871
+0.0181592
+0.016767
+0.0155429
+0.0145474
+0.0138083
+0.0133438
+0.0132303
+0.0134767
+0.0140318
+0.0148598
+0.0159478
+0.0161482
+0.0155264
+0.0151831
+0.015104
+0.0148693
+0.0127214
+0.0105907
+0.0084772
+0.00641228
+0.00446836
+0.00271979
+0.00113403
+0.000461829
+0.00141207
+0.00303588
+0.00478783
+0.00671615
+0.00871811
+0.0106987
+0.0127451
+0.0148118
+0.0168464
+0.018826
+0.0204803
+0.0219937
+0.0235716
+0.0251952
+0.0268994
+0.0286667
+0.0304823
+0.0323444
+0.0342454
+0.0361792
+0.0381408
+0.0401261
+0.0421318
+0.044087
+0.0440596
+0.0441374
+0.0443233
+0.0446162
+0.045014
+0.0455138
+0.0461123
+0.0468059
+0.0508634
+0.0504058
+0.05004
+0.0497681
+0.0495915
+0.0495114
+0.0495077
+0.0495838
+0.0496125
+0.0488952
+0.0482564
+0.0477097
+0.0472584
+0.0469051
+0.0466521
+0.046501
+0.0464529
+0.0465081
+0.0466661
+0.046915
+0.0472555
+0.0476943
+0.0482286
+0.0488555
+0.0494216
+0.0486766
+0.048019
+0.0474454
+0.0469662
+0.0462094
+0.0442162
+0.0422287
+0.0401786
+0.0381362
+0.0361061
+0.0340805
+0.0320766
+0.0300987
+0.0281375
+0.0262027
+0.0243113
+0.0224744
+0.0207063
+0.019024
+0.0174193
+0.0159462
+0.0146537
+0.0135933
+0.0127703
+0.01227
+0.0121501
+0.0123866
+0.0129934
+0.0138995
+0.0150571
+0.0164266
+0.0170607
+0.0167098
+0.0165528
+0.0143936
+0.0122458
+0.0101162
+0.00801975
+0.00591119
+0.00375107
+0.00166921
+-0.000128243
+-0.001086
+0.000247491
+0.00214556
+0.00413611
+0.00620705
+0.00821628
+0.0102952
+0.0123254
+0.0142643
+0.0161799
+0.0176008
+0.0190909
+0.0206023
+0.0222269
+0.0239419
+0.0257202
+0.0275558
+0.02944
+0.0313641
+0.0333211
+0.0353055
+0.0373131
+0.0393402
+0.041384
+0.043442
+0.0445747
+0.0446723
+0.0448719
+0.0451613
+0.0455543
+0.0460482
+0.0466399
+0.0473257
+0.0517055
+0.0512555
+0.0508958
+0.0506285
+0.0504549
+0.0503761
+0.0503925
+0.0504841
+0.0506388
+0.050364
+0.049744
+0.0492139
+0.0487764
+0.0484342
+0.0481892
+0.048043
+0.0479965
+0.0480498
+0.0482028
+0.0484487
+0.0487784
+0.0492036
+0.0497218
+0.05033
+0.0507656
+0.0500459
+0.0494019
+0.0488438
+0.0473216
+0.0458218
+0.0441012
+0.0420493
+0.0399825
+0.0379295
+0.0358876
+0.0338488
+0.0318254
+0.029814
+0.0278234
+0.025865
+0.023947
+0.0220739
+0.0202515
+0.0185088
+0.0168537
+0.0153264
+0.0139766
+0.0128556
+0.0119857
+0.0114512
+0.0113219
+0.0115753
+0.0122225
+0.0131817
+0.0143971
+0.0158238
+0.01741
+0.0183125
+0.0164095
+0.0142216
+0.0120347
+0.00984947
+0.00766737
+0.00549212
+0.00333712
+0.00127891
+-0.000638111
+-0.00142909
+9.64755e-05
+0.00195075
+0.00394946
+0.00595376
+0.00798126
+0.00986244
+0.0117116
+0.0134243
+0.0148095
+0.0161852
+0.0176773
+0.0192995
+0.0210209
+0.022814
+0.0246713
+0.0265794
+0.0285282
+0.0305098
+0.0325183
+0.0345489
+0.0365979
+0.0386626
+0.0407403
+0.0428243
+0.0449174
+0.0452407
+0.0454426
+0.0457487
+0.0461567
+0.0466642
+0.0472632
+0.0479401
+0.0526255
+0.0521833
+0.0518301
+0.0515676
+0.0513972
+0.0513199
+0.051336
+0.0514455
+0.0516138
+0.0518471
+0.0512791
+0.050765
+0.050341
+0.0500095
+0.0497723
+0.0496307
+0.0495857
+0.0496373
+0.0497854
+0.0500266
+0.050346
+0.0507581
+0.0512605
+0.0518507
+0.052167
+0.0514669
+0.0498339
+0.0482302
+0.0466639
+0.0451422
+0.0436774
+0.0419764
+0.0399058
+0.0378487
+0.0357881
+0.0337347
+0.0316997
+0.0296799
+0.0276794
+0.0257006
+0.0237524
+0.0218502
+0.0199972
+0.0182083
+0.0165165
+0.0149548
+0.0135641
+0.012393
+0.0115232
+0.0109731
+0.0108348
+0.0111343
+0.0117791
+0.0127591
+0.0140157
+0.015478
+0.0170964
+0.0186823
+0.0165049
+0.0143298
+0.0121553
+0.00998601
+0.00782857
+0.00569658
+0.00363506
+0.00175781
+0.000325828
+-0.00021749
+0.00100995
+0.00247718
+0.00417423
+0.00593904
+0.00764067
+0.00932276
+0.0107409
+0.0120365
+0.0133387
+0.0148091
+0.0164224
+0.0181553
+0.0199655
+0.0218453
+0.0237784
+0.0257528
+0.0277597
+0.0297925
+0.0318462
+0.0339146
+0.0359924
+0.0380829
+0.0401841
+0.0422943
+0.0444023
+0.0459067
+0.0461057
+0.0464074
+0.0468098
+0.0473102
+0.0479057
+0.0485928
+0.0536192
+0.0531853
+0.0528388
+0.0525813
+0.0524142
+0.0523384
+0.0523542
+0.0524615
+0.0526518
+0.0528906
+0.0528558
+0.0523571
+0.0519462
+0.051625
+0.0513952
+0.0512581
+0.0512145
+0.0512645
+0.0514079
+0.0516439
+0.0519587
+0.052358
+0.0528453
+0.053418
+0.0526462
+0.0509572
+0.0493071
+0.0476858
+0.0461009
+0.04456
+0.0430755
+0.0415696
+0.0399493
+0.0378782
+0.0358106
+0.0337503
+0.0317009
+0.0296631
+0.0276488
+0.0256633
+0.023714
+0.0218106
+0.0199447
+0.0181506
+0.0164529
+0.0148845
+0.0134866
+0.0123081
+0.0114319
+0.0108771
+0.0107376
+0.0110399
+0.0116897
+0.0126767
+0.0139407
+0.0154102
+0.0170349
+0.0187751
+0.0168377
+0.0147065
+0.0125957
+0.0105176
+0.00849618
+0.00658405
+0.00475891
+0.00316902
+0.00203522
+0.00181765
+0.00238465
+0.00333177
+0.00459212
+0.00586416
+0.00718361
+0.00834972
+0.00946739
+0.0106337
+0.0120358
+0.0136253
+0.0153634
+0.0172033
+0.0191039
+0.0210608
+0.0230598
+0.0250908
+0.0271387
+0.0292057
+0.0312894
+0.0333869
+0.0354956
+0.0376138
+0.0397397
+0.0418724
+0.0438825
+0.0459023
+0.0468618
+0.0471587
+0.0475547
+0.0480474
+0.0486339
+0.0493108
+0.0546826
+0.0542573
+0.0539176
+0.0536653
+0.0535016
+0.0534273
+0.0534428
+0.053548
+0.0537344
+0.0539826
+0.0543142
+0.0539912
+0.0535928
+0.0532815
+0.0530589
+0.0529262
+0.0528839
+0.0529324
+0.0530713
+0.0532999
+0.0536124
+0.0539995
+0.0544721
+0.0539777
+0.0522398
+0.0505372
+0.048873
+0.0472368
+0.0456363
+0.0440792
+0.0425779
+0.041113
+0.0394972
+0.0379265
+0.0359352
+0.0338688
+0.031819
+0.0297893
+0.0277841
+0.025809
+0.0238717
+0.0219819
+0.0201319
+0.0183561
+0.0166793
+0.0151344
+0.0137619
+0.0125894
+0.0117073
+0.0111817
+0.0110461
+0.0113204
+0.0119678
+0.0129577
+0.0142069
+0.015651
+0.0172531
+0.0189732
+0.0174358
+0.0153876
+0.0133846
+0.0114506
+0.00958419
+0.00780642
+0.0061805
+0.00484469
+0.00408354
+0.00360075
+0.00355649
+0.00417748
+0.00476923
+0.00565715
+0.00647784
+0.00731357
+0.00820575
+0.00946628
+0.0109909
+0.0127117
+0.0145593
+0.0164891
+0.018459
+0.0204647
+0.0225049
+0.024571
+0.026657
+0.0287586
+0.0308725
+0.0329965
+0.0351287
+0.0372677
+0.0394122
+0.0414444
+0.043467
+0.0455053
+0.0475571
+0.0479821
+0.0483714
+0.0488559
+0.0494328
+0.0500989
+0.0558118
+0.0553951
+0.0550625
+0.0548155
+0.0546553
+0.0545825
+0.0545977
+0.0547006
+0.0548831
+0.0551261
+0.0554547
+0.0556636
+0.0552772
+0.0549755
+0.0547598
+0.0546312
+0.0545902
+0.0546371
+0.0547717
+0.0549933
+0.0553008
+0.0556788
+0.0554505
+0.0536709
+0.0519228
+0.0502094
+0.0485339
+0.046886
+0.0452731
+0.043703
+0.0421883
+0.0407351
+0.0391244
+0.0375509
+0.0360334
+0.0341203
+0.0320866
+0.030075
+0.0280901
+0.0261382
+0.0242154
+0.0223348
+0.0205158
+0.0187764
+0.0171407
+0.0156414
+0.0143097
+0.0131809
+0.0123411
+0.0118437
+0.0117157
+0.0119747
+0.0125885
+0.0135331
+0.0147365
+0.0161333
+0.0176917
+0.019373
+0.0182785
+0.0163363
+0.0144639
+0.0125981
+0.0108246
+0.00920632
+0.00777505
+0.00643758
+0.00552882
+0.00491559
+0.00479385
+0.00491763
+0.00512302
+0.00553004
+0.00591752
+0.00636039
+0.00728981
+0.00866788
+0.0103112
+0.0121288
+0.0140385
+0.0159984
+0.0180116
+0.0200621
+0.0221393
+0.0242344
+0.0263427
+0.0284633
+0.0305939
+0.0327323
+0.034872
+0.0370157
+0.0390615
+0.041075
+0.0431059
+0.0451517
+0.0472105
+0.0488892
+0.0492712
+0.049747
+0.0503136
+0.0509683
+0.0570029
+0.056595
+0.0562695
+0.0560278
+0.055871
+0.0557999
+0.0558131
+0.0558972
+0.0560668
+0.0563212
+0.0566521
+0.057056
+0.0569961
+0.0567035
+0.0564944
+0.0563697
+0.05633
+0.0563755
+0.0565059
+0.0567207
+0.057019
+0.05703
+0.0552283
+0.0534489
+0.0516967
+0.0499755
+0.048292
+0.0466355
+0.0450136
+0.0434342
+0.0419097
+0.0404465
+0.0388716
+0.0372874
+0.0357588
+0.0342966
+0.0325
+0.0305156
+0.02855
+0.0266151
+0.024723
+0.0228841
+0.0211125
+0.0194266
+0.0178506
+0.0164163
+0.0151528
+0.0140917
+0.0133095
+0.0128405
+0.0127225
+0.0129705
+0.0135392
+0.0144217
+0.0155565
+0.0168856
+0.0183804
+0.0200038
+0.0188617
+0.0169242
+0.0150543
+0.0132822
+0.0116339
+0.0101499
+0.00892164
+0.00771638
+0.0069233
+0.00636025
+0.00586012
+0.0056365
+0.0055213
+0.00520923
+0.0051885
+0.00575345
+0.00685155
+0.00829808
+0.00999343
+0.0118465
+0.0137689
+0.0157549
+0.0177885
+0.0198432
+0.0219243
+0.0240248
+0.0261402
+0.028267
+0.030403
+0.0325462
+0.0346953
+0.0367253
+0.0387364
+0.0407661
+0.0428116
+0.0448708
+0.0469419
+0.0490214
+0.0502506
+0.0507171
+0.051273
+0.0519156
+0.058252
+0.0578529
+0.0575345
+0.0572982
+0.0571449
+0.0570603
+0.0570585
+0.0571408
+0.0573067
+0.0575556
+0.0578855
+0.058281
+0.0587463
+0.0584625
+0.0582597
+0.0581388
+0.0581003
+0.0581444
+0.0582709
+0.0584792
+0.0587248
+0.0568923
+0.055086
+0.053302
+0.0515483
+0.0498291
+0.0481483
+0.046487
+0.0448598
+0.0432747
+0.0417445
+0.0402753
+0.0387413
+0.0371515
+0.035617
+0.0341488
+0.0327613
+0.0310786
+0.0291469
+0.0272544
+0.0254099
+0.0236246
+0.0219129
+0.0202936
+0.0187905
+0.0174337
+0.0162495
+0.0152648
+0.0145459
+0.014106
+0.0139987
+0.0142318
+0.0147563
+0.01557
+0.0166266
+0.0178763
+0.0192945
+0.0208468
+0.0195195
+0.0176581
+0.0158658
+0.0141714
+0.0126307
+0.0112883
+0.0100434
+0.00897011
+0.0082922
+0.00777063
+0.00698953
+0.00641805
+0.00567699
+0.0049705
+0.00502657
+0.00568012
+0.00671546
+0.00816584
+0.00985032
+0.0117017
+0.013654
+0.0156694
+0.0177126
+0.0197752
+0.0218628
+0.0239687
+0.0260886
+0.0282194
+0.0303586
+0.0325047
+0.0345093
+0.0365111
+0.0385334
+0.0405732
+0.042628
+0.0446956
+0.0467745
+0.0488231
+0.0508569
+0.0517618
+0.0523066
+0.0529366
+0.0595554
+0.0591651
+0.0588538
+0.0586111
+0.0584453
+0.0583614
+0.0583597
+0.0584401
+0.0586024
+0.0588458
+0.0591694
+0.0595599
+0.0600242
+0.0602498
+0.0600531
+0.0599358
+0.0598985
+0.0599412
+0.0600639
+0.0602661
+0.0586729
+0.0568388
+0.0550307
+0.0532448
+0.0514891
+0.049768
+0.048085
+0.0464415
+0.0448126
+0.0432258
+0.0416938
+0.0402227
+0.0387346
+0.0371446
+0.0356098
+0.0341412
+0.0327534
+0.0314452
+0.0298928
+0.0280507
+0.0262621
+0.0245389
+0.0228957
+0.0213511
+0.0199279
+0.018654
+0.0175523
+0.0166449
+0.0159779
+0.0155781
+0.015481
+0.0156922
+0.0161798
+0.0169252
+0.017902
+0.0190682
+0.0204038
+0.0218776
+0.020367
+0.0185772
+0.0168708
+0.0152492
+0.0137154
+0.0123313
+0.0110779
+0.0100618
+0.00928145
+0.00883004
+0.00798024
+0.00710469
+0.00595571
+0.00534636
+0.00540967
+0.00602042
+0.00701261
+0.00841235
+0.010081
+0.0119111
+0.0138377
+0.0158298
+0.0178684
+0.0199393
+0.0220201
+0.0241123
+0.0262206
+0.0283414
+0.0304721
+0.0324382
+0.034421
+0.0364276
+0.0384543
+0.0404981
+0.0425565
+0.0446275
+0.0466986
+0.0487226
+0.0507605
+0.0528106
+0.0534101
+0.0540272
+0.0608894
+0.0605077
+0.0601999
+0.0599586
+0.0597966
+0.0597146
+0.0597129
+0.0597915
+0.0599501
+0.0601881
+0.0605045
+0.0608908
+0.061345
+0.0618736
+0.0618624
+0.0617485
+0.0617123
+0.0617538
+0.0618729
+0.0605597
+0.0587028
+0.0568696
+0.0550626
+0.0532778
+0.0515232
+0.0498032
+0.0481215
+0.0464822
+0.0448725
+0.0432879
+0.0417581
+0.0402894
+0.0388517
+0.0372666
+0.0357371
+0.0342739
+0.0328917
+0.0315892
+0.0303762
+0.028991
+0.0272642
+0.0256085
+0.0240385
+0.0225722
+0.021231
+0.0200401
+0.0190189
+0.0181848
+0.0175667
+0.017204
+0.0171161
+0.0173073
+0.0177601
+0.0184417
+0.0193421
+0.0204263
+0.0216783
+0.022919
+0.0211048
+0.0193568
+0.0177066
+0.0161456
+0.0146954
+0.013389
+0.0122371
+0.0112513
+0.0105279
+0.0100452
+0.00919123
+0.00783872
+0.00679887
+0.00628123
+0.00627745
+0.00685218
+0.00781158
+0.0091164
+0.010691
+0.0124365
+0.0143008
+0.0162468
+0.0182483
+0.020289
+0.022358
+0.024446
+0.0265335
+0.0286253
+0.0305414
+0.0324922
+0.0344719
+0.0364757
+0.0384999
+0.0405413
+0.0425938
+0.0446562
+0.0466964
+0.0487205
+0.0507585
+0.0528086
+0.0545793
+0.0551833
+0.0622678
+0.0618946
+0.0615906
+0.0613548
+0.0611964
+0.0611163
+0.0611146
+0.0611914
+0.0613464
+0.061579
+0.0618883
+0.0622703
+0.0627145
+0.0632316
+0.063695
+0.0635844
+0.0635493
+0.0635896
+0.0625431
+0.0606678
+0.0588143
+0.0569847
+0.0551815
+0.0534006
+0.0516502
+0.0499346
+0.0482575
+0.046623
+0.0450187
+0.0434494
+0.0419252
+0.0404621
+0.0390551
+0.0375162
+0.0359975
+0.0345454
+0.0331745
+0.0318835
+0.0306821
+0.0295853
+0.0283941
+0.0268082
+0.0253128
+0.0239247
+0.0226637
+0.0215521
+0.020611
+0.0198257
+0.0192574
+0.018927
+0.0188472
+0.019021
+0.0194417
+0.0200829
+0.020905
+0.021912
+0.0230836
+0.0236784
+0.0219252
+0.0202489
+0.0186654
+0.0171909
+0.0158366
+0.0145792
+0.0133952
+0.0124283
+0.0117422
+0.0111038
+0.0102079
+0.00901094
+0.0081395
+0.00766371
+0.00763412
+0.0081023
+0.00898014
+0.0101819
+0.0116282
+0.0132665
+0.0150462
+0.0169218
+0.0188518
+0.0208334
+0.0228533
+0.024902
+0.0269731
+0.0288533
+0.0307552
+0.0326933
+0.0346615
+0.03665
+0.0386572
+0.0406833
+0.0427256
+0.044782
+0.0467969
+0.0488169
+0.0508509
+0.0528975
+0.0549552
+0.0563858
+0.0636918
+0.063327
+0.0630268
+0.0627963
+0.0626416
+0.0625634
+0.0625617
+0.0626367
+0.0627882
+0.0630154
+0.0633177
+0.0636939
+0.0641297
+0.0646354
+0.0652109
+0.0654422
+0.065408
+0.0646143
+0.0627244
+0.0608546
+0.059007
+0.0571836
+0.0553868
+0.0536128
+0.0518696
+0.0501614
+0.0484921
+0.0468658
+0.0452702
+0.04371
+0.0421952
+0.0407418
+0.0393447
+0.037869
+0.0363852
+0.0349499
+0.0335956
+0.0323239
+0.0311395
+0.0300596
+0.0290125
+0.0280972
+0.0266984
+0.0253862
+0.0242015
+0.0231639
+0.0222696
+0.0215436
+0.0210217
+0.0207195
+0.0206466
+0.0208054
+0.0211907
+0.0217905
+0.0225582
+0.0234945
+0.0245908
+0.0245777
+0.022886
+0.0212856
+0.0197787
+0.0183799
+0.0170406
+0.0157775
+0.0146658
+0.0137522
+0.0131376
+0.0124613
+0.0115513
+0.0104759
+0.0097308
+0.00934354
+0.00930362
+0.00969148
+0.0104457
+0.0115181
+0.0128456
+0.0143565
+0.0160154
+0.0177898
+0.0196484
+0.0215694
+0.0235252
+0.0255113
+0.0273766
+0.0292157
+0.0311004
+0.0330224
+0.0349645
+0.0369334
+0.0389259
+0.0409387
+0.042969
+0.0450045
+0.0469994
+0.049011
+0.0510374
+0.0530767
+0.0551278
+0.0571868
+0.0651584
+0.0648018
+0.0645054
+0.0642802
+0.0641291
+0.0640526
+0.0640511
+0.0641243
+0.0642723
+0.0644943
+0.0647897
+0.0651574
+0.0655875
+0.0660821
+0.0666451
+0.0672747
+0.066765
+0.0648638
+0.0629813
+0.0611195
+0.0592801
+0.0574654
+0.0556757
+0.0539132
+0.05218
+0.0504824
+0.0488241
+0.0472092
+0.0456256
+0.0440781
+0.0425763
+0.0411365
+0.0397531
+0.0383363
+0.0368769
+0.0354615
+0.0341274
+0.0328853
+0.0317419
+0.0306635
+0.0296584
+0.0287636
+0.027973
+0.0269468
+0.0258337
+0.0248598
+0.0240125
+0.0233407
+0.02286
+0.0225824
+0.0225155
+0.0226612
+0.0230154
+0.0235688
+0.0242966
+0.0251683
+0.0261946
+0.0255982
+0.0239447
+0.0223676
+0.020868
+0.0194998
+0.0182844
+0.0171168
+0.0160838
+0.0152502
+0.0146796
+0.0139784
+0.0131139
+0.0121499
+0.0115137
+0.0111717
+0.0111196
+0.011458
+0.0121239
+0.0130592
+0.0142438
+0.0156327
+0.0171839
+0.0188486
+0.020612
+0.0224507
+0.0243477
+0.0261811
+0.0279272
+0.0297323
+0.0315862
+0.0334802
+0.0353973
+0.0373433
+0.0393151
+0.041309
+0.0433218
+0.0453211
+0.0473026
+0.0493018
+0.0513167
+0.0533454
+0.0553865
+0.0574362
+0.0666646
+0.0663152
+0.0660236
+0.0658036
+0.065656
+0.0655813
+0.0655798
+0.0656513
+0.0657958
+0.0660127
+0.0663014
+0.0666608
+0.0670851
+0.0675687
+0.0681195
+0.0687356
+0.0670773
+0.0651827
+0.0633071
+0.0614525
+0.0596206
+0.0578137
+0.0560342
+0.0542848
+0.0525684
+0.0508885
+0.0492487
+0.0476484
+0.0460824
+0.0445509
+0.0430657
+0.0416427
+0.0402766
+0.0389025
+0.0374846
+0.0360989
+0.0347893
+0.0335717
+0.0324564
+0.0313965
+0.0304281
+0.0295718
+0.0287768
+0.0281294
+0.0275435
+0.0266134
+0.0258237
+0.0252002
+0.0247556
+0.0244995
+0.0244379
+0.0245722
+0.0248993
+0.0254116
+0.0260984
+0.0269164
+0.0278785
+0.0266142
+0.0250172
+0.0234825
+0.0220589
+0.0207692
+0.0195951
+0.0185481
+0.0176205
+0.0169
+0.0162526
+0.0155244
+0.0148138
+0.0139676
+0.0134178
+0.013091
+0.0130413
+0.0133429
+0.0139238
+0.0147501
+0.0158228
+0.0170838
+0.018519
+0.0200901
+0.0217531
+0.0235028
+0.0253104
+0.0269351
+0.0286353
+0.0303983
+0.0322139
+0.0340731
+0.0359585
+0.0378757
+0.0398212
+0.0417909
+0.0437816
+0.0457405
+0.0477046
+0.0496876
+0.0516875
+0.0537022
+0.0557302
+0.0577677
+0.068208
+0.0678636
+0.0675787
+0.0673638
+0.0672196
+0.0671467
+0.0671451
+0.0672151
+0.0673562
+0.0675681
+0.0678501
+0.0682013
+0.0686199
+0.0690929
+0.0696316
+0.0693483
+0.0674463
+0.0655624
+0.063698
+0.0618551
+0.0600355
+0.0582415
+0.0564754
+0.0547401
+0.0530385
+0.051374
+0.0497502
+0.0481665
+0.0466318
+0.0451253
+0.0436596
+0.0422567
+0.040911
+0.039582
+0.0381893
+0.0368558
+0.035574
+0.0343842
+0.0332961
+0.032262
+0.0313203
+0.030491
+0.0297198
+0.0290624
+0.0285488
+0.0281456
+0.0276898
+0.0271093
+0.0266965
+0.0264592
+0.0264021
+0.0265265
+0.0268297
+0.0273059
+0.0279462
+0.0287253
+0.0293487
+0.0277366
+0.0261775
+0.0247143
+0.0233652
+0.0221299
+0.0210294
+0.0200276
+0.0191669
+0.0184513
+0.0178707
+0.0172109
+0.0166289
+0.0158798
+0.0153841
+0.0150844
+0.0150368
+0.0152947
+0.0158015
+0.0165488
+0.0175187
+0.0186796
+0.0200006
+0.0214643
+0.0230386
+0.0246973
+0.0262641
+0.0278414
+0.0294894
+0.0312042
+0.0329754
+0.034794
+0.0366423
+0.0385255
+0.0404397
+0.0423807
+0.0443273
+0.0462599
+0.0482028
+0.0501662
+0.0521477
+0.0541453
+0.0561573
+0.0581799
+0.069786
+0.0694467
+0.0691682
+0.0689583
+0.0688174
+0.0687462
+0.0687447
+0.068813
+0.0689508
+0.0691579
+0.0694334
+0.0697767
+0.0701867
+0.0706521
+0.071179
+0.0697742
+0.0678841
+0.0660126
+0.0641614
+0.0623321
+0.0605269
+0.0587479
+0.0569975
+0.0552786
+0.0535941
+0.0519474
+0.0503406
+0.048776
+0.0472611
+0.0457974
+0.0443539
+0.0429736
+0.0416334
+0.0403537
+0.0390045
+0.0377179
+0.0364667
+0.0353069
+0.0342482
+0.0332494
+0.0323365
+0.0315318
+0.0307607
+0.030126
+0.0296308
+0.0292549
+0.0290222
+0.0289445
+0.0286733
+0.0284525
+0.0283995
+0.0285151
+0.0287974
+0.0292416
+0.0298404
+0.0305841
+0.0305074
+0.0289323
+0.0274417
+0.0260502
+0.0247599
+0.0235922
+0.0225652
+0.0216226
+0.0207963
+0.020085
+0.0195718
+0.0189749
+0.0185254
+0.017855
+0.0173976
+0.0171261
+0.0170802
+0.0172964
+0.0177445
+0.0184325
+0.019308
+0.0203823
+0.0216031
+0.0229649
+0.0244427
+0.0259315
+0.0273537
+0.0288722
+0.0304727
+0.0321395
+0.0338618
+0.0356352
+0.037442
+0.0392869
+0.0411657
+0.043074
+0.0449699
+0.0468656
+0.0487844
+0.0507252
+0.0526857
+0.0546636
+0.0566572
+0.0586649
+0.0713964
+0.0710619
+0.0707898
+0.0705847
+0.0704472
+0.0703775
+0.0703761
+0.0704428
+0.0705775
+0.0707797
+0.071049
+0.0713845
+0.0717853
+0.0722442
+0.0721455
+0.0702547
+0.0683818
+0.0665283
+0.0646956
+0.0628819
+0.0610929
+0.0593309
+0.0575983
+0.0558978
+0.0542287
+0.0525972
+0.0510077
+0.0494642
+0.047971
+0.0465331
+0.0451439
+0.0437761
+0.0424517
+0.0411974
+0.0399234
+0.0386673
+0.037462
+0.036334
+0.0353022
+0.0343481
+0.0334555
+0.032662
+0.031915
+0.0313037
+0.0308308
+0.0304814
+0.0302582
+0.0301724
+0.0302031
+0.030332
+0.0304235
+0.0305314
+0.0307372
+0.0310459
+0.0314928
+0.032062
+0.031693
+0.0301797
+0.0287539
+0.0274164
+0.026184
+0.0250828
+0.0241306
+0.0232968
+0.0224731
+0.0218076
+0.0213203
+0.0207985
+0.0204159
+0.0198578
+0.0194434
+0.0191988
+0.0191562
+0.0193376
+0.0197395
+0.0203703
+0.0211729
+0.022157
+0.0233016
+0.0245694
+0.0259559
+0.0272114
+0.02857
+0.0300271
+0.031569
+0.0331841
+0.034862
+0.0365883
+0.0383503
+0.0401535
+0.0419935
+0.0438568
+0.0456943
+0.0475595
+0.0494514
+0.0513671
+0.0533039
+0.0552597
+0.0572326
+0.0592207
+0.073037
+0.0727074
+0.0724414
+0.072241
+0.0721066
+0.0720386
+0.0720372
+0.0721024
+0.0722339
+0.0724316
+0.0726947
+0.0730226
+0.0734145
+0.0738668
+0.0726744
+0.0707977
+0.0689395
+0.0671014
+0.065285
+0.0634923
+0.0617252
+0.0599862
+0.0582693
+0.0565847
+0.0549359
+0.0533261
+0.051759
+0.0502385
+0.0487691
+0.0473554
+0.0460027
+0.0446609
+0.0433653
+0.0421382
+0.040939
+0.0397151
+0.0385562
+0.0374587
+0.0364472
+0.0355254
+0.0346643
+0.0338816
+0.033162
+0.0325741
+0.0321141
+0.0317807
+0.0315865
+0.0315049
+0.0315337
+0.0316573
+0.0318055
+0.0318214
+0.0319877
+0.0322845
+0.0327145
+0.0332349
+0.0329816
+0.0315302
+0.0301573
+0.0288758
+0.0277084
+0.0266702
+0.0257767
+0.0249979
+0.0242274
+0.0236035
+0.0231434
+0.0226872
+0.0223369
+0.0218949
+0.0215175
+0.0212936
+0.0212552
+0.0214084
+0.0217721
+0.0223456
+0.0230951
+0.0240005
+0.0250652
+0.0262588
+0.0273928
+0.0285951
+0.0298925
+0.0312881
+0.0327708
+0.0343293
+0.0359538
+0.0376358
+0.0393597
+0.0411187
+0.0429168
+0.044704
+0.046509
+0.0483428
+0.0502052
+0.0520932
+0.054004
+0.0559353
+0.0578852
+0.0598516
+0.0747042
+0.0743809
+0.074121
+0.0739251
+0.0737938
+0.0737273
+0.0737259
+0.0737896
+0.0739182
+0.0741113
+0.0743685
+0.0746891
+0.0750723
+0.0751438
+0.0732649
+0.0714037
+0.0695617
+0.0677405
+0.0659417
+0.0641674
+0.0624194
+0.0607002
+0.059007
+0.0573441
+0.0557178
+0.0541312
+0.0525881
+0.0510923
+0.0496481
+0.0482602
+0.0469336
+0.0456337
+0.0443683
+0.0431697
+0.0420443
+0.0408535
+0.0397379
+0.038664
+0.0376848
+0.0367941
+0.0359659
+0.0351831
+0.0344907
+0.0339259
+0.0334845
+0.0331648
+0.0329878
+0.0329294
+0.0329501
+0.0330684
+0.0331606
+0.0331759
+0.0333355
+0.0336203
+0.0340335
+0.0345028
+0.0343616
+0.0329616
+0.031642
+0.030423
+0.0293173
+0.0283381
+0.0274955
+0.0267702
+0.0260407
+0.0254611
+0.0250254
+0.0246259
+0.0243036
+0.023959
+0.0236116
+0.023406
+0.0233689
+0.023501
+0.0238327
+0.0243578
+0.0250537
+0.0258907
+0.0268806
+0.0279075
+0.0289231
+0.0300643
+0.0313009
+0.0326362
+0.0340603
+0.0355624
+0.037133
+0.0387638
+0.0404476
+0.0421756
+0.0438917
+0.0456407
+0.0474111
+0.0492113
+0.051042
+0.0529001
+0.0547828
+0.0566876
+0.0586124
+0.0605552
+0.0763968
+0.0760807
+0.0758266
+0.0756352
+0.0755068
+0.0754419
+0.0754405
+0.0755027
+0.0756284
+0.0758172
+0.0760686
+0.0763821
+0.0767568
+0.0757785
+0.0739156
+0.0720713
+0.0702468
+0.0684438
+0.066664
+0.0649094
+0.063182
+0.0614841
+0.0598131
+0.0581732
+0.0565707
+0.0550088
+0.053491
+0.0520212
+0.0506035
+0.0492425
+0.0479431
+0.0466892
+0.0454462
+0.0442768
+0.043187
+0.0420587
+0.0409708
+0.0399531
+0.0390064
+0.0381465
+0.0373503
+0.0365697
+0.0359041
+0.0353618
+0.0349385
+0.0346323
+0.0344628
+0.0344135
+0.0344314
+0.0345446
+0.0346015
+0.0346162
+0.0347691
+0.0350423
+0.0354323
+0.0358548
+0.035808
+0.0344647
+0.0332049
+0.0320454
+0.0309976
+0.0300732
+0.0292754
+0.0286006
+0.0279082
+0.027361
+0.0269542
+0.0266038
+0.0263057
+0.0260439
+0.0257041
+0.0255218
+0.0254905
+0.0256099
+0.0259147
+0.0263984
+0.0270447
+0.0278218
+0.0287453
+0.0295738
+0.030534
+0.0316171
+0.0327952
+0.034072
+0.0354385
+0.0368844
+0.038401
+0.0399802
+0.0416147
+0.0432863
+0.0449522
+0.0466611
+0.0483923
+0.0501594
+0.0519577
+0.0537842
+0.055637
+0.0575135
+0.0594116
+0.0613291
+0.0781142
+0.0778051
+0.0775566
+0.0773695
+0.077244
+0.0771805
+0.0771792
+0.07724
+0.0773629
+0.0775474
+0.0777932
+0.0780998
+0.0783339
+0.0764706
+0.0746251
+0.0727987
+0.0709929
+0.0692093
+0.0674498
+0.0657161
+0.0640105
+0.0623352
+0.0606876
+0.059072
+0.0574946
+0.0559584
+0.0544671
+0.0530243
+0.0516342
+0.0503011
+0.0490298
+0.0478043
+0.0465912
+0.0454512
+0.0443902
+0.0433362
+0.0422813
+0.0413081
+0.0404035
+0.039574
+0.0387836
+0.0380306
+0.0373909
+0.0368706
+0.0364663
+0.036173
+0.0360108
+0.0359636
+0.0359852
+0.0360936
+0.0361179
+0.0361319
+0.0362785
+0.0365404
+0.0368805
+0.0372866
+0.0373066
+0.0360383
+0.0348355
+0.0337321
+0.0327383
+0.0318621
+0.0311079
+0.030466
+0.0298118
+0.0292999
+0.0289203
+0.0286127
+0.0283358
+0.0281352
+0.0278118
+0.0276434
+0.0276213
+0.0277316
+0.0280133
+0.0284613
+0.0290644
+0.0297889
+0.030526
+0.0313047
+0.0322134
+0.0332418
+0.0343642
+0.0355849
+0.0368953
+0.0382863
+0.0397494
+0.041277
+0.0428621
+0.0444694
+0.0460926
+0.0477575
+0.0494503
+0.0511809
+0.0529456
+0.054741
+0.0565632
+0.05841
+0.0602798
+0.0621706
+0.0798547
+0.0795524
+0.0793094
+0.0791264
+0.0790037
+0.0789416
+0.0789403
+0.0789998
+0.0791199
+0.0793004
+0.0795408
+0.0798406
+0.0790644
+0.0772187
+0.0753915
+0.0735841
+0.0717981
+0.070035
+0.0682967
+0.0665852
+0.0649024
+0.0632507
+0.0616276
+0.0600373
+0.0584859
+0.0569765
+0.0555125
+0.0540976
+0.0527358
+0.0514313
+0.0501886
+0.0489744
+0.0478091
+0.0466989
+0.0456669
+0.0446846
+0.0436625
+0.0427207
+0.0418679
+0.0410688
+0.040272
+0.0395474
+0.0389327
+0.0384332
+0.0380534
+0.0377763
+0.037621
+0.0375775
+0.0376025
+0.0377062
+0.0376991
+0.0377125
+0.037853
+0.0381055
+0.0383991
+0.0387894
+0.0388688
+0.0376698
+0.0365247
+0.0354739
+0.0345298
+0.0336943
+0.032982
+0.0323612
+0.031746
+0.0312708
+0.0309166
+0.0306465
+0.0303881
+0.0301761
+0.0299314
+0.029775
+0.0297608
+0.029863
+0.0301243
+0.0305409
+0.0311065
+0.0317207
+0.0323334
+0.0330801
+0.0339511
+0.0349284
+0.0359983
+0.0371653
+0.0384218
+0.0397595
+0.0411703
+0.042647
+0.044183
+0.0457269
+0.0473069
+0.0489274
+0.0505811
+0.0522743
+0.0540032
+0.0557647
+0.0575556
+0.0593733
+0.0612141
+0.0630769
+0.081617
+0.0813212
+0.0810835
+0.0809045
+0.0807845
+0.0807238
+0.0807225
+0.0807807
+0.0808982
+0.0810747
+0.0813099
+0.0816032
+0.0798483
+0.0780212
+0.0762132
+0.0744258
+0.0726604
+0.0709188
+0.0692027
+0.0675141
+0.0658551
+0.0642279
+0.0626301
+0.061066
+0.0595414
+0.0580594
+0.0566234
+0.055237
+0.053904
+0.0526285
+0.0513967
+0.0502117
+0.0490947
+0.0480142
+0.0470111
+0.0460791
+0.0451078
+0.0441969
+0.0433775
+0.0426114
+0.0418223
+0.041125
+0.0405342
+0.0400547
+0.0396894
+0.0394203
+0.0392715
+0.0392411
+0.0392738
+0.039373
+0.0393166
+0.0393295
+0.0394642
+0.0397194
+0.0399802
+0.0403551
+0.0404893
+0.0393397
+0.0382646
+0.0372566
+0.0363505
+0.0355565
+0.0348823
+0.0342916
+0.0337116
+0.0332662
+0.0329377
+0.0327006
+0.0324488
+0.0322361
+0.0320606
+0.0319146
+0.0319016
+0.0319967
+0.0322407
+0.0326302
+0.0331602
+0.0336068
+0.0341857
+0.0348927
+0.0357203
+0.0366604
+0.0376889
+0.038805
+0.0400101
+0.0412964
+0.0426564
+0.0440833
+0.0455664
+0.04705
+0.048587
+0.0501658
+0.05178
+0.0534352
+0.0551277
+0.0568543
+0.058612
+0.0603979
+0.0622097
+0.0640452
+0.0833995
+0.0831101
+0.0828775
+0.0827024
+0.082585
+0.0825256
+0.0825244
+0.0825813
+0.0826962
+0.0828689
+0.083099
+0.0825105
+0.0806841
+0.0788763
+0.0770884
+0.0753218
+0.0735779
+0.0718586
+0.0701655
+0.0685006
+0.066866
+0.0652641
+0.0636923
+0.0621549
+0.0606576
+0.0592036
+0.0577961
+0.0564385
+0.0551345
+0.0538881
+0.0526681
+0.0515124
+0.0504253
+0.0493917
+0.0484171
+0.0475127
+0.0466114
+0.0457303
+0.0449389
+0.0441873
+0.0434278
+0.0427566
+0.0421887
+0.0417282
+0.0413736
+0.0411153
+0.0409727
+0.0409436
+0.0409916
+0.0410867
+0.0409874
+0.0409998
+0.041129
+0.0413636
+0.041615
+0.0419753
+0.0421614
+0.0410586
+0.0400361
+0.0390717
+0.0382088
+0.0374542
+0.0368147
+0.0362516
+0.0357035
+0.0352832
+0.0349739
+0.0347452
+0.0345127
+0.0343092
+0.0341976
+0.0340607
+0.0340485
+0.0341376
+0.0343664
+0.0347321
+0.0351081
+0.0355278
+0.0360759
+0.0367466
+0.0375334
+0.038429
+0.0394261
+0.040497
+0.0416531
+0.0428901
+0.0442011
+0.0455797
+0.0469868
+0.0484268
+0.0499215
+0.0514658
+0.0530422
+0.0546592
+0.056315
+0.0580063
+0.05973
+0.0614835
+0.0632643
+0.06507
+0.0852011
+0.0849178
+0.0846902
+0.0845188
+0.084404
+0.0843459
+0.0843447
+0.0844003
+0.0845128
+0.0846818
+0.0849069
+0.0833771
+0.0815702
+0.0797825
+0.0780153
+0.0762702
+0.0745485
+0.0728521
+0.0711826
+0.0695421
+0.0679326
+0.0663564
+0.0648103
+0.0633001
+0.0618306
+0.0604048
+0.0590259
+0.0576973
+0.0564224
+0.0551892
+0.0539986
+0.0528719
+0.0518133
+0.0508208
+0.0498792
+0.0490023
+0.0481676
+0.0473156
+0.0465472
+0.0458136
+0.0450825
+0.0444364
+0.0438902
+0.0434478
+0.0431031
+0.0428553
+0.0427184
+0.0426906
+0.0427527
+0.0428056
+0.0427052
+0.0427171
+0.0428411
+0.0430375
+0.0432865
+0.0436331
+0.0438786
+0.0428201
+0.0418454
+0.0409237
+0.0401006
+0.0393823
+0.0387746
+0.0382366
+0.0377174
+0.0373193
+0.0370228
+0.0368064
+0.0365914
+0.0363914
+0.0362732
+0.0362122
+0.0362006
+0.0362844
+0.0364997
+0.0367739
+0.0370808
+0.0374784
+0.0379984
+0.0386357
+0.0393848
+0.0402393
+0.0411927
+0.0422347
+0.0433446
+0.0445346
+0.0457986
+0.0471277
+0.0484646
+0.049862
+0.0513148
+0.0528186
+0.0543635
+0.0559423
+0.0575612
+0.0592169
+0.0609064
+0.062627
+0.0643761
+0.0661515
+0.0870205
+0.0867432
+0.0865204
+0.0863526
+0.0862402
+0.0861834
+0.0861822
+0.0862367
+0.0863467
+0.0865121
+0.0860974
+0.0842919
+0.0825049
+0.0807379
+0.0789922
+0.0772691
+0.0755702
+0.0738972
+0.0722519
+0.0706362
+0.0690515
+0.0674941
+0.0659725
+0.0644895
+0.0630478
+0.0616501
+0.0602997
+0.0589998
+0.0577537
+0.0565452
+0.0553837
+0.0542858
+0.0532553
+0.0522902
+0.0513891
+0.050543
+0.0497469
+0.0489415
+0.0481936
+0.047481
+0.0467814
+0.0461591
+0.0456335
+0.0452081
+0.044873
+0.0446349
+0.0445036
+0.0444769
+0.0445402
+0.0445611
+0.0444647
+0.0444761
+0.0445952
+0.0447561
+0.0450026
+0.0453361
+0.0456335
+0.0446166
+0.043686
+0.0428076
+0.0420215
+0.0413366
+0.040758
+0.040243
+0.03975
+0.0393688
+0.0390871
+0.0388808
+0.0386824
+0.0384741
+0.0383611
+0.0383478
+0.0383509
+0.0384046
+0.038542
+0.0387971
+0.0390768
+0.0394543
+0.0399485
+0.0405552
+0.0412694
+0.0420857
+0.0429982
+0.0440009
+0.0450777
+0.0462231
+0.0474421
+0.0486999
+0.0499948
+0.0513505
+0.0527624
+0.054226
+0.0557373
+0.0572805
+0.0588626
+0.0604827
+0.0621378
+0.0638251
+0.0655423
+0.0672869
+0.0888567
+0.0885851
+0.088367
+0.0882027
+0.0880927
+0.088037
+0.0880359
+0.0880892
+0.0881969
+0.0883589
+0.0870387
+0.0852531
+0.0834867
+0.0817409
+0.0800171
+0.0783165
+0.0766408
+0.0749917
+0.073371
+0.0717772
+0.0702118
+0.0686806
+0.0671859
+0.0657303
+0.0643164
+0.0629469
+0.0616249
+0.0603535
+0.0591359
+0.0579492
+0.0568164
+0.0557467
+0.0547438
+0.0538086
+0.0529367
+0.0521176
+0.0513587
+0.0506022
+0.0498818
+0.049186
+0.0485148
+0.0479199
+0.0474139
+0.0470046
+0.0466785
+0.0464498
+0.0463236
+0.0462979
+0.0463588
+0.0463536
+0.0462609
+0.0462719
+0.0463767
+0.0465144
+0.0467543
+0.0470794
+0.0474246
+0.046447
+0.0455538
+0.0447195
+0.0439676
+0.0433134
+0.0427617
+0.0422677
+0.0417986
+0.0414321
+0.0411611
+0.0409637
+0.0407825
+0.0405682
+0.0404598
+0.0404327
+0.0404029
+0.0404473
+0.0405953
+0.0408376
+0.0410926
+0.0414517
+0.0419224
+0.0425009
+0.043183
+0.0439637
+0.044838
+0.0458004
+0.0468456
+0.0479511
+0.0491273
+0.0503183
+0.0515726
+0.0528879
+0.0542598
+0.0556841
+0.0571569
+0.05867
+0.0602156
+0.0618002
+0.0634209
+0.065075
+0.06676
+0.0684736
+0.0907086
+0.0904426
+0.090229
+0.0900681
+0.0899604
+0.0899059
+0.0899047
+0.0899569
+0.0900624
+0.0898084
+0.0880244
+0.0862592
+0.0845139
+0.0827898
+0.0810882
+0.0794106
+0.0777585
+0.0761336
+0.074532
+0.0729599
+0.0714204
+0.0699156
+0.0684479
+0.0670197
+0.0656336
+0.0642922
+0.0629984
+0.0617553
+0.0605581
+0.0593943
+0.0582896
+0.0572474
+0.0562713
+0.0553589
+0.0545081
+0.0537332
+0.0530035
+0.0523021
+0.0516077
+0.0509283
+0.0502803
+0.049715
+0.0492274
+0.0488328
+0.0485158
+0.0482957
+0.0481744
+0.0481498
+0.0482083
+0.0481791
+0.0480899
+0.0481004
+0.0481755
+0.048308
+0.0485391
+0.0488587
+0.0492457
+0.048305
+0.0474468
+0.046656
+0.0459357
+0.04531
+0.0447828
+0.0443082
+0.0438609
+0.0435078
+0.0432451
+0.0430573
+0.0428758
+0.042672
+0.0425678
+0.0425282
+0.0424687
+0.0425041
+0.042645
+0.0428923
+0.0431254
+0.0434678
+0.0439169
+0.0444695
+0.0451217
+0.0458695
+0.0467081
+0.0476328
+0.0486386
+0.0497156
+0.0508289
+0.0519787
+0.0531938
+0.05447
+0.055803
+0.0571889
+0.0586239
+0.0601045
+0.0616167
+0.0631662
+0.0647527
+0.0663737
+0.0680265
+0.069709
+0.0925754
+0.0923147
+0.0921054
+0.0919478
+0.0918423
+0.0917889
+0.0917878
+0.0918389
+0.0919423
+0.0908169
+0.0890531
+0.0873087
+0.0855848
+0.0838827
+0.0822038
+0.0805494
+0.0789197
+0.0773127
+0.0757349
+0.0741884
+0.0726749
+0.0711967
+0.0697559
+0.0683551
+0.0669965
+0.065683
+0.0644172
+0.063199
+0.0620198
+0.060884
+0.0598068
+0.0587915
+0.0578415
+0.0569478
+0.0561211
+0.0553688
+0.0546815
+0.0540372
+0.0533613
+0.052704
+0.0520781
+0.051533
+0.0510705
+0.0506872
+0.0503814
+0.0501695
+0.0500527
+0.0500291
+0.0500854
+0.0500339
+0.049948
+0.0499581
+0.0500055
+0.0501332
+0.0503559
+0.0506703
+0.0510608
+0.0501878
+0.0493623
+0.048614
+0.0479232
+0.0473237
+0.0468192
+0.0463624
+0.0459351
+0.0455943
+0.0453393
+0.0451601
+0.0449783
+0.0447841
+0.0446756
+0.0446066
+0.0445457
+0.0445737
+0.0447081
+0.0449448
+0.045173
+0.0455
+0.0459292
+0.0464579
+0.0470826
+0.0477997
+0.048605
+0.0494943
+0.050463
+0.0515068
+0.052564
+0.0536765
+0.0548541
+0.0560925
+0.0573879
+0.0587364
+0.0601345
+0.0615788
+0.0630629
+0.0645777
+0.0661304
+0.0677183
+0.0693391
+0.0709905
+0.094456
+0.0942005
+0.0939954
+0.0938411
+0.0937376
+0.0936853
+0.0936842
+0.0937344
+0.0936286
+0.0918666
+0.0901234
+0.0884001
+0.0866979
+0.0850181
+0.083362
+0.0817273
+0.0801167
+0.0785342
+0.0769815
+0.0754605
+0.073973
+0.0725213
+0.0711074
+0.0697336
+0.0684025
+0.0671165
+0.065876
+0.064684
+0.0635235
+0.062415
+0.0613647
+0.0603756
+0.059446
+0.0585755
+0.0577721
+0.0570415
+0.0563867
+0.0557819
+0.0551457
+0.0545099
+0.053905
+0.0533786
+0.0529348
+0.0525669
+0.0522722
+0.052068
+0.0519554
+0.0519327
+0.051987
+0.0519148
+0.0518321
+0.0518328
+0.0518635
+0.0519866
+0.0522014
+0.0525069
+0.0528877
+0.0520946
+0.0512999
+0.0505876
+0.0499276
+0.0493526
+0.048869
+0.0484285
+0.0480196
+0.0476901
+0.0474421
+0.0472709
+0.0470889
+0.0469034
+0.0467862
+0.0466914
+0.0466286
+0.0466543
+0.0467827
+0.0469972
+0.0472335
+0.0475462
+0.0479572
+0.0484637
+0.0490629
+0.0497515
+0.0505257
+0.0513817
+0.0523155
+0.0533165
+0.0543255
+0.0554027
+0.0565443
+0.0577465
+0.0590055
+0.0603179
+0.0616801
+0.0630891
+0.0645416
+0.0660317
+0.0675509
+0.0691062
+0.0706952
+0.0723157
+0.0884818
+0.0865308
+0.0845915
+0.0826627
+0.0807435
+0.0788385
+0.0769488
+0.0750753
+0.0732195
+0.0713786
+0.0695537
+0.0677505
+0.0659708
+0.0642165
+0.0624898
+0.060793
+0.0591176
+0.0574738
+0.0558677
+0.0543024
+0.0527817
+0.0513094
+0.04989
+0.0485279
+0.0472282
+0.0459961
+0.0448373
+0.0437501
+0.0427333
+0.0418067
+0.0409763
+0.0402482
+0.039628
+0.0391207
+0.0387309
+0.0384621
+0.0383169
+0.0382966
+0.0384015
+0.0386306
+0.0389816
+0.0394467
+0.0400077
+0.0406792
+0.0414557
+0.0423315
+0.0433004
+0.0443565
+0.0454936
+0.0467059
+0.0479876
+0.0493333
+0.0507379
+0.0521967
+0.0537053
+0.0552366
+0.0566699
+0.0581504
+0.0596746
+0.0612393
+0.0628413
+0.064478
+0.0659007
+0.0673511
+0.0688149
+0.0703103
+0.0718396
+0.0734024
+0.0749967
+0.0766204
+0.078233
+0.0798414
+0.0814711
+0.0831211
+0.0841735
+0.0841253
+0.0841341
+0.0841999
+0.0843226
+0.084502
+0.0847353
+0.0850158
+0.0853517
+0.0857355
+0.0861692
+0.0866562
+0.0871954
+0.0877861
+0.0884271
+0.0891173
+0.0898507
+0.0906156
+0.0914217
+0.0922675
+0.0931571
+0.0940893
+0.0950629
+0.096062
+0.0970948
+0.0981657
+0.0875184
+0.0855454
+0.0835833
+0.0816328
+0.0796948
+0.0777671
+0.0758507
+0.0739494
+0.0720646
+0.0701975
+0.0683497
+0.0665144
+0.0647007
+0.0629109
+0.0611473
+0.0594122
+0.057708
+0.0560289
+0.0543801
+0.0527707
+0.0512045
+0.0496856
+0.0482183
+0.0468076
+0.0454587
+0.0441774
+0.0429696
+0.0418417
+0.0407823
+0.0398103
+0.0389373
+0.0381703
+0.0375158
+0.0369795
+0.0365669
+0.0362821
+0.0361281
+0.0361066
+0.0362179
+0.0364606
+0.0368323
+0.0373184
+0.037911
+0.038619
+0.0394361
+0.0403557
+0.0413709
+0.042475
+0.0436612
+0.0449229
+0.046254
+0.0476487
+0.0491015
+0.0506075
+0.0521621
+0.0536016
+0.0550774
+0.0565996
+0.0581644
+0.0597686
+0.0614091
+0.0628763
+0.0643258
+0.065784
+0.0672758
+0.0688028
+0.0703648
+0.0719597
+0.0735852
+0.0752063
+0.0768156
+0.0784459
+0.0800983
+0.0817761
+0.0827641
+0.0827374
+0.082765
+0.0828319
+0.0829566
+0.0831389
+0.0833784
+0.0836696
+0.0840109
+0.0844076
+0.0848516
+0.0853461
+0.0858936
+0.0864931
+0.0871436
+0.087844
+0.0885929
+0.0893739
+0.0901914
+0.0910486
+0.09195
+0.0928912
+0.0938567
+0.094863
+0.0959087
+0.0969927
+0.0865997
+0.0846053
+0.0826209
+0.0806471
+0.0786848
+0.0767349
+0.0747983
+0.072872
+0.0709585
+0.0690616
+0.0671825
+0.0653229
+0.0634807
+0.0616556
+0.059855
+0.0580812
+0.0563368
+0.0546246
+0.0529414
+0.0512869
+0.0496739
+0.0481066
+0.0465897
+0.0451281
+0.0437275
+0.0423938
+0.0411336
+0.0399539
+0.0388568
+0.0378353
+0.0369157
+0.0361058
+0.0354131
+0.0348445
+0.0344063
+0.0341034
+0.0339396
+0.0339167
+0.0340351
+0.0342933
+0.0346882
+0.0351979
+0.0358256
+0.0365739
+0.0374357
+0.0384032
+0.0394687
+0.0406245
+0.0418631
+0.0431774
+0.0445607
+0.0460068
+0.0475098
+0.0490647
+0.0505368
+0.0520074
+0.0535272
+0.0550922
+0.0566987
+0.0583432
+0.0598593
+0.0613029
+0.0627596
+0.0642472
+0.0657716
+0.0673327
+0.0689281
+0.0705554
+0.0721857
+0.0737958
+0.0754266
+0.0770815
+0.0787626
+0.0804681
+0.0813889
+0.0813619
+0.0813938
+0.0814846
+0.0816265
+0.0818118
+0.0820551
+0.0823561
+0.0827056
+0.0831086
+0.083567
+0.0840726
+0.0846284
+0.0852368
+0.0858968
+0.0866073
+0.0873668
+0.0881693
+0.088998
+0.0898666
+0.0907676
+0.0917031
+0.092681
+0.0936999
+0.0947585
+0.0958518
+0.0857272
+0.083712
+0.0817058
+0.0797094
+0.0777235
+0.0757488
+0.0737863
+0.071837
+0.0699021
+0.0679773
+0.0660674
+0.0641754
+0.062303
+0.0604521
+0.058616
+0.0568036
+0.0550187
+0.0532641
+0.0515429
+0.0498552
+0.0481943
+0.0465773
+0.0450088
+0.0434941
+0.0420391
+0.0406501
+0.0393341
+0.0380987
+0.036952
+0.0358854
+0.0349145
+0.034057
+0.0333217
+0.0327169
+0.0322497
+0.0319264
+0.0317513
+0.0317269
+0.0318534
+0.0321292
+0.0325504
+0.0330865
+0.0337534
+0.0345467
+0.0354577
+0.0364778
+0.0375979
+0.0388095
+0.0401042
+0.0414742
+0.0429125
+0.0444122
+0.0459675
+0.0474765
+0.0489409
+0.0504579
+0.052023
+0.053632
+0.0552809
+0.0568511
+0.0582874
+0.0597378
+0.0612257
+0.062747
+0.0643069
+0.0659027
+0.0675319
+0.0691719
+0.0707828
+0.072414
+0.0740714
+0.0757559
+0.0774657
+0.0791992
+0.0800501
+0.0800226
+0.0800551
+0.0801474
+0.0802994
+0.0805108
+0.0807696
+0.0810753
+0.0814381
+0.0818476
+0.0823131
+0.0828339
+0.0834015
+0.0840189
+0.0846884
+0.0854089
+0.086179
+0.0869975
+0.0878429
+0.0887013
+0.0896049
+0.0905524
+0.0915426
+0.092574
+0.0936401
+0.094741
+0.0849022
+0.0828669
+0.0808398
+0.0788215
+0.0768126
+0.0748139
+0.0728262
+0.0708505
+0.0688878
+0.0669393
+0.0650062
+0.0630832
+0.0611774
+0.0592913
+0.0574268
+0.055583
+0.0537576
+0.0519604
+0.0501945
+0.0484633
+0.0467696
+0.0451025
+0.0434808
+0.041911
+0.0403989
+0.0389515
+0.0375761
+0.0362809
+0.0350748
+0.0339649
+0.0329374
+0.0320271
+0.031244
+0.0305981
+0.0300981
+0.0297514
+0.0295635
+0.0295372
+0.0296731
+0.0299689
+0.0304163
+0.030986
+0.0316973
+0.0325407
+0.0335063
+0.0345839
+0.0357634
+0.0370351
+0.0383897
+0.0398188
+0.0413147
+0.0428704
+0.0444213
+0.0458786
+0.0473925
+0.0489575
+0.0505691
+0.0522228
+0.0538531
+0.0552804
+0.0567241
+0.0582122
+0.0597299
+0.0612883
+0.0628844
+0.0645154
+0.0661659
+0.0677773
+0.0694089
+0.0710688
+0.0727569
+0.0744711
+0.0762098
+0.0779664
+0.0786884
+0.0787194
+0.0787546
+0.0788484
+0.0790029
+0.0792178
+0.0794924
+0.0798153
+0.0801961
+0.0806202
+0.0810933
+0.0816225
+0.0822041
+0.0828306
+0.0835099
+0.0842407
+0.0850217
+0.0858515
+0.0866965
+0.087566
+0.0884811
+0.0894405
+0.0904429
+0.0914798
+0.0925546
+0.0936683
+0.0841262
+0.0820717
+0.0800244
+0.077985
+0.075954
+0.073932
+0.07192
+0.0699187
+0.0679291
+0.0659523
+0.0639893
+0.0620417
+0.0601105
+0.0581899
+0.0562889
+0.0544097
+0.0525547
+0.0507178
+0.0489071
+0.0471286
+0.0453862
+0.0436841
+0.0420115
+0.0403846
+0.0388132
+0.0373042
+0.0358657
+0.0345064
+0.033236
+0.032065
+0.0309891
+0.0300197
+0.0291828
+0.0284902
+0.0279526
+0.0275789
+0.027376
+0.0273477
+0.0274944
+0.0278134
+0.0282873
+0.028899
+0.0296603
+0.03056
+0.0315863
+0.0327272
+0.0339712
+0.0353074
+0.0367258
+0.0382172
+0.0397734
+0.0413725
+0.0428216
+0.0443315
+0.0458964
+0.0475108
+0.0491698
+0.0508646
+0.0522841
+0.0537202
+0.0552031
+0.0567215
+0.058278
+0.0598742
+0.061507
+0.0631688
+0.0647802
+0.0664123
+0.0680748
+0.0697666
+0.0714854
+0.0732287
+0.0749884
+0.0767702
+0.0772759
+0.0773075
+0.0774011
+0.0775564
+0.0777466
+0.0779649
+0.0782372
+0.0785646
+0.0789514
+0.0793968
+0.0798946
+0.0804426
+0.0810383
+0.0816826
+0.0823714
+0.0831122
+0.0839037
+0.0847444
+0.0855907
+0.0864712
+0.0873978
+0.088369
+0.0893748
+0.0904215
+0.0915087
+0.0926349
+0.0834005
+0.0813277
+0.0792612
+0.0772016
+0.0751494
+0.0731053
+0.0710698
+0.0690439
+0.0670283
+0.0650241
+0.0630323
+0.0610541
+0.0590909
+0.0571442
+0.0552145
+0.0532975
+0.0514023
+0.0495315
+0.0476856
+0.0458598
+0.0440672
+0.0423122
+0.0405995
+0.0389218
+0.0372887
+0.0357155
+0.0342102
+0.0327823
+0.0314423
+0.0302019
+0.0290738
+0.0280398
+0.027142
+0.0263958
+0.0258146
+0.0254095
+0.0251892
+0.0251583
+0.0253177
+0.0256638
+0.0261685
+0.0268286
+0.0276469
+0.02861
+0.0297037
+0.0309142
+0.0322283
+0.0336338
+0.0351198
+0.0366766
+0.0382954
+0.0397708
+0.0412761
+0.0428406
+0.044458
+0.0461227
+0.0478232
+0.0493004
+0.0507275
+0.0522035
+0.0537234
+0.0552775
+0.0568735
+0.058508
+0.0601779
+0.0617928
+0.0634255
+0.0650906
+0.066786
+0.0685096
+0.070255
+0.0720206
+0.073809
+0.0756186
+0.0759004
+0.0759325
+0.0760278
+0.076186
+0.0764067
+0.0766893
+0.0770232
+0.0773557
+0.0777486
+0.0782008
+0.0787115
+0.0792793
+0.0798916
+0.0805589
+0.0812705
+0.0820266
+0.0828285
+0.08368
+0.0845271
+0.0854186
+0.0863559
+0.0873289
+0.0883456
+0.0894043
+0.0905037
+0.0916423
+0.0827184
+0.080632
+0.0785512
+0.076473
+0.0744007
+0.0723354
+0.0702777
+0.0682282
+0.0661878
+0.0641573
+0.0621377
+0.0601301
+0.0581357
+0.0561559
+0.0541924
+0.0522469
+0.0503189
+0.0484063
+0.0465182
+0.0446577
+0.0428198
+0.0410114
+0.0392419
+0.037517
+0.0358334
+0.0341933
+0.0326178
+0.0311169
+0.0297019
+0.0283855
+0.0271822
+0.0260936
+0.0251263
+0.0243184
+0.0236863
+0.0232441
+0.023003
+0.0229693
+0.0231437
+0.0235218
+0.0240625
+0.0247788
+0.0256626
+0.0266974
+0.0278662
+0.0291531
+0.030543
+0.0320226
+0.03358
+0.035205
+0.036728
+0.0382276
+0.0397913
+0.0414119
+0.0430823
+0.0447896
+0.0463317
+0.0477482
+0.0492161
+0.0507361
+0.0522883
+0.0538838
+0.0555199
+0.0571931
+0.0588165
+0.0604499
+0.0621175
+0.0638167
+0.065545
+0.0672924
+0.0690643
+0.0708596
+0.0726766
+0.0745137
+0.0745639
+0.0745966
+0.0746936
+0.0748546
+0.0750792
+0.0753668
+0.0757168
+0.0761282
+0.0765895
+0.0770486
+0.0775668
+0.078143
+0.078776
+0.0794578
+0.0801856
+0.0809576
+0.081781
+0.0826535
+0.0835075
+0.0844075
+0.0853465
+0.0863309
+0.0873591
+0.0884297
+0.0895411
+0.0906917
+0.0820854
+0.0799826
+0.0778846
+0.0757918
+0.0737047
+0.0716236
+0.0695455
+0.0674738
+0.0654099
+0.0633545
+0.0613084
+0.0592727
+0.0572485
+0.0552369
+0.0532395
+0.0512579
+0.0492939
+0.0473499
+0.045424
+0.0435167
+0.0416373
+0.0397888
+0.0379624
+0.0361765
+0.0344373
+0.0327469
+0.0310983
+0.0295203
+0.0280247
+0.0266256
+0.0253388
+0.0241824
+0.0231425
+0.0222627
+0.0215704
+0.021084
+0.0208179
+0.0207805
+0.0209732
+0.0213874
+0.0219732
+0.0227553
+0.0237146
+0.0248307
+0.0260834
+0.0274539
+0.0289256
+0.0304838
+0.032116
+0.0336953
+0.0351877
+0.0367502
+0.0383742
+0.0400491
+0.0417654
+0.0433812
+0.0447851
+0.0462433
+0.0477574
+0.0493126
+0.0509071
+0.0525445
+0.0542211
+0.0558532
+0.0574872
+0.0591572
+0.0608603
+0.0625903
+0.0643425
+0.0661209
+0.0679233
+0.069748
+0.0715932
+0.0732831
+0.0732636
+0.0733018
+0.0734005
+0.0735643
+0.0737929
+0.0740855
+0.0744415
+0.0748599
+0.075331
+0.0758588
+0.0764459
+0.0770522
+0.0776941
+0.0783919
+0.0791373
+0.0799236
+0.0807615
+0.0816465
+0.0825294
+0.0834321
+0.0843819
+0.0853774
+0.086417
+0.0874991
+0.0886221
+0.0897158
+0.0815065
+0.0793883
+0.0772741
+0.0751644
+0.0730594
+0.0709595
+0.0688654
+0.0667774
+0.0646961
+0.062618
+0.0605471
+0.0584849
+0.0564324
+0.0543906
+0.0523609
+0.0503448
+0.0483438
+0.0463599
+0.0443955
+0.0424532
+0.0405298
+0.0386293
+0.0367612
+0.034922
+0.0331171
+0.0313613
+0.0296617
+0.0280041
+0.0264228
+0.024934
+0.023555
+0.0223063
+0.0211995
+0.0202354
+0.0194711
+0.0189308
+0.018634
+0.0185923
+0.0188074
+0.0192574
+0.0199056
+0.0207657
+0.0218128
+0.0230212
+0.0243671
+0.0258289
+0.027388
+0.0290289
+0.0306757
+0.032159
+0.0337195
+0.0353469
+0.0370265
+0.0387529
+0.0404526
+0.0418416
+0.043288
+0.0447949
+0.0463529
+0.0479457
+0.0495842
+0.0512639
+0.0529053
+0.0545396
+0.0562118
+0.0579186
+0.0596493
+0.0614072
+0.0631923
+0.0650021
+0.0668347
+0.0686883
+0.0705613
+0.0720051
+0.0719852
+0.072032
+0.0721453
+0.0723174
+0.0725499
+0.0728475
+0.0732095
+0.0736344
+0.0741097
+0.0746462
+0.0752426
+0.0758977
+0.0766098
+0.0773559
+0.0781182
+0.07893
+0.0797786
+0.0806777
+0.0815903
+0.0825032
+0.0834341
+0.0843638
+0.0853397
+0.08636
+0.0874234
+0.0885244
+0.0809826
+0.0788504
+0.0767214
+0.074596
+0.0724745
+0.0703572
+0.0682446
+0.066137
+0.0640351
+0.0619392
+0.0598502
+0.0577685
+0.0556905
+0.0536206
+0.0515606
+0.0495118
+0.0474757
+0.045454
+0.0434486
+0.0414621
+0.0394971
+0.0375571
+0.0356367
+0.0337451
+0.0318917
+0.0300656
+0.0282901
+0.0265766
+0.0249108
+0.0233256
+0.0218453
+0.0204927
+0.0192946
+0.0182459
+0.0173944
+0.0167874
+0.0164519
+0.0164047
+0.0166481
+0.0171423
+0.0178674
+0.0188209
+0.0199702
+0.0212835
+0.0227325
+0.0242928
+0.0259445
+0.0276565
+0.0291448
+0.0307022
+0.0323331
+0.0340176
+0.0357499
+0.0374711
+0.0389221
+0.0403542
+0.0418521
+0.043407
+0.0449974
+0.0466366
+0.0483195
+0.0499755
+0.0516097
+0.0532837
+0.0549919
+0.056725
+0.0584888
+0.0602806
+0.062098
+0.0639388
+0.0658011
+0.067683
+0.069583
+0.0707718
+0.0707516
+0.0707992
+0.0709145
+0.0710971
+0.0713465
+0.0716551
+0.0720231
+0.0724508
+0.0729337
+0.0734788
+0.0740847
+0.0747499
+0.0754728
+0.0762519
+0.0770853
+0.0779533
+0.0788317
+0.0796573
+0.0804635
+0.081319
+0.0822142
+0.0831576
+0.0841474
+0.085182
+0.0862599
+0.0872424
+0.080515
+0.07837
+0.0762277
+0.0740881
+0.0719516
+0.0698185
+0.067689
+0.0655636
+0.0634427
+0.0613266
+0.059216
+0.0571114
+0.0550135
+0.0529231
+0.050841
+0.0487631
+0.0466944
+0.0446373
+0.0425935
+0.0405651
+0.0385544
+0.0365644
+0.0345987
+0.0326616
+0.0307453
+0.0288656
+0.0270247
+0.0252255
+0.0234928
+0.0218188
+0.0202286
+0.0187598
+0.0174431
+0.016308
+0.0153494
+0.0146579
+0.0142725
+0.014218
+0.0144982
+0.0150489
+0.0158699
+0.0169362
+0.0182049
+0.0196366
+0.0211984
+0.0228637
+0.0246072
+0.0261503
+0.0277028
+0.0293359
+0.0310262
+0.0327644
+0.0344955
+0.0360324
+0.0374469
+0.0389333
+0.0404803
+0.0420673
+0.0437066
+0.0453924
+0.0470673
+0.0487005
+0.050376
+0.0520825
+0.0538201
+0.0555898
+0.0573885
+0.0592136
+0.0610628
+0.0629339
+0.064825
+0.0667345
+0.0686607
+0.0695856
+0.0695651
+0.0696135
+0.0697307
+0.0699164
+0.0701701
+0.0704909
+0.0708763
+0.0713148
+0.0718054
+0.072359
+0.0729741
+0.0736494
+0.074383
+0.0751734
+0.0760186
+0.0769009
+0.0776747
+0.0784401
+0.0792587
+0.0801268
+0.0810352
+0.0819921
+0.0829958
+0.0840446
+0.0849744
+0.0859237
+0.0801046
+0.0779483
+0.075794
+0.0736419
+0.0714921
+0.0693448
+0.0672003
+0.065059
+0.062921
+0.0607868
+0.0586567
+0.0565313
+0.054411
+0.0522966
+0.0501887
+0.0480882
+0.0459961
+0.0439135
+0.0418357
+0.0397687
+0.0377155
+0.0356788
+0.0336614
+0.031667
+0.0297003
+0.0277672
+0.0258565
+0.0239938
+0.0221701
+0.0204132
+0.0187289
+0.017132
+0.0156792
+0.0144142
+0.0133507
+0.0125496
+0.0120971
+0.0120328
+0.0123617
+0.0129875
+0.0139305
+0.0151342
+0.0165416
+0.0181053
+0.0197884
+0.0215533
+0.0231818
+0.0247277
+0.0263595
+0.028058
+0.029802
+0.0315435
+0.0331803
+0.0345727
+0.0360445
+0.0375812
+0.0391631
+0.0408014
+0.0424895
+0.044185
+0.0458161
+0.0474913
+0.0491962
+0.0509381
+0.0527134
+0.054519
+0.0563519
+0.0582096
+0.0600896
+0.0619901
+0.0639092
+0.0658452
+0.0677967
+0.0684428
+0.0684281
+0.0684773
+0.0685965
+0.0687853
+0.0690431
+0.0693692
+0.0697607
+0.0702071
+0.0707185
+0.0712888
+0.0719132
+0.0725983
+0.0733424
+0.0741436
+0.0749015
+0.0757052
+0.0764886
+0.0772658
+0.0780949
+0.0789628
+0.0798726
+0.0808316
+0.0818367
+0.0827444
+0.0836563
+0.0846129
+0.0797189
+0.0775586
+0.0754
+0.0732434
+0.0710888
+0.0689365
+0.06678
+0.0646247
+0.0624718
+0.0603217
+0.0581746
+0.0560309
+0.053891
+0.0517553
+0.0496244
+0.047499
+0.0453797
+0.0432676
+0.0411637
+0.0390693
+0.0369859
+0.0349084
+0.0328437
+0.0307964
+0.0287703
+0.0267701
+0.0248021
+0.0228712
+0.0209721
+0.0191286
+0.0173403
+0.0156423
+0.0140361
+0.0126072
+0.0114224
+0.010475
+0.00992853
+0.00985004
+0.010232
+0.0109764
+0.0120775
+0.013448
+0.0150143
+0.0167178
+0.018514
+0.0202219
+0.021787
+0.0234146
+0.0251212
+0.0268701
+0.0286223
+0.0303764
+0.0317406
+0.0331935
+0.0347164
+0.036291
+0.0379268
+0.0396163
+0.0413338
+0.0429615
+0.0446309
+0.0463373
+0.0480829
+0.0498637
+0.0516759
+0.0535166
+0.0553826
+0.0572717
+0.0591816
+0.0611103
+0.0630562
+0.0650176
+0.0669932
+0.0672745
+0.0672947
+0.067386
+0.0675089
+0.0677007
+0.0679626
+0.0682938
+0.0686932
+0.0691501
+0.0696693
+0.0702529
+0.0708995
+0.0715988
+0.0722648
+0.0729764
+0.0737462
+0.0745266
+0.0752966
+0.0760735
+0.0769051
+0.0777792
+0.0786911
+0.0796529
+0.0805673
+0.0814424
+0.0823665
+0.083338
+0.0793902
+0.0772207
+0.0750524
+0.0728855
+0.0707201
+0.0685562
+0.0663941
+0.0642339
+0.0620759
+0.0599202
+0.0577672
+0.0556124
+0.0534557
+0.0513019
+0.0491514
+0.0470046
+0.044862
+0.0427243
+0.0405922
+0.0384667
+0.036349
+0.0342405
+0.0321429
+0.0300584
+0.0279812
+0.0259202
+0.0238822
+0.0218738
+0.019904
+0.0179765
+0.0160962
+0.0142782
+0.012559
+0.0109415
+0.00955215
+0.00845928
+0.00777232
+0.00767181
+0.00813009
+0.00904902
+0.0103571
+0.011927
+0.0136566
+0.015498
+0.0173063
+0.0188891
+0.0205149
+0.0222282
+0.0239765
+0.0257427
+0.0275514
+0.0289631
+0.0303908
+0.0318953
+0.0334592
+0.0350903
+0.0367795
+0.0385162
+0.0401354
+0.0418041
+0.0435111
+0.0452597
+0.0470453
+0.0488639
+0.0507119
+0.0525863
+0.0544842
+0.0564034
+0.0583417
+0.0602973
+0.0622686
+0.0642541
+0.0661831
+0.0661311
+0.0661516
+0.0662445
+0.0664096
+0.0666464
+0.0669283
+0.0672646
+0.0676701
+0.0681422
+0.068674
+0.069266
+0.0698613
+0.070461
+0.0710865
+0.071771
+0.0725152
+0.0733173
+0.0741266
+0.0749071
+0.0757319
+0.0766056
+0.077515
+0.0784499
+0.0792879
+0.080177
+0.0811155
+0.082101
+0.0791209
+0.0769438
+0.0747675
+0.072592
+0.0704176
+0.0682441
+0.0660718
+0.0639007
+0.0617311
+0.0595629
+0.0573965
+0.055232
+0.0530696
+0.0509097
+0.0487525
+0.0465984
+0.0444462
+0.0422876
+0.0401323
+0.0379811
+0.0358347
+0.033694
+0.0315601
+0.0294346
+0.0273194
+0.0252171
+0.023131
+0.0210542
+0.0189996
+0.0169789
+0.0150061
+0.0130844
+0.0112308
+0.00947729
+0.00784951
+0.00653768
+0.00564273
+0.00550346
+0.00608885
+0.00727052
+0.00884479
+0.0106169
+0.0125222
+0.0144595
+0.0160268
+0.0176716
+0.0193986
+0.0211394
+0.022915
+0.0247533
+0.0262575
+0.0276513
+0.0291298
+0.0306789
+0.0323018
+0.0339885
+0.0357299
+0.0373416
+0.0390095
+0.0407244
+0.0424748
+0.0442643
+0.0460885
+0.0479434
+0.0498256
+0.0517321
+0.0536603
+0.0556079
+0.057573
+0.0595539
+0.0615348
+0.0635097
+0.0650943
+0.0650413
+0.0650622
+0.0651567
+0.0653245
+0.0655652
+0.0658779
+0.0662616
+0.0667033
+0.0671819
+0.0676378
+0.0681295
+0.0686645
+0.0692345
+0.0698685
+0.0705649
+0.0713218
+0.0721373
+0.0729366
+0.073688
+0.0744964
+0.0753503
+0.0762426
+0.0771815
+0.0780448
+0.0789479
+0.0798925
+0.0808822
+0.0788732
+0.0767113
+0.0745458
+0.0723637
+0.0701822
+0.0680012
+0.0658209
+0.0636412
+0.0614624
+0.0592844
+0.0571075
+0.0549316
+0.0527569
+0.0505836
+0.0484119
+0.046242
+0.0440741
+0.0419086
+0.0397458
+0.0375863
+0.0354307
+0.0332796
+0.0311209
+0.0289632
+0.0268109
+0.0246652
+0.0225283
+0.0204027
+0.0182926
+0.0162036
+0.0141279
+0.0120869
+0.0101088
+0.00819989
+0.006396
+0.00476556
+0.00358749
+0.00336418
+0.00419523
+0.00576542
+0.00762428
+0.00958749
+0.0115668
+0.0132442
+0.0148793
+0.0166332
+0.0183866
+0.0201627
+0.022001
+0.0236483
+0.0249957
+0.0264357
+0.0279649
+0.0295751
+0.0312553
+0.0329955
+0.0345996
+0.0362613
+0.0379768
+0.0397363
+0.0415283
+0.0433569
+0.0452178
+0.047107
+0.0490213
+0.0509579
+0.0529143
+0.0548777
+0.05685
+0.0588322
+0.0607743
+0.0627328
+0.0640538
+0.0639999
+0.0640211
+0.0641171
+0.0642876
+0.0645321
+0.0648498
+0.0652395
+0.0656071
+0.0659827
+0.0664284
+0.0669281
+0.0674437
+0.0680238
+0.0686689
+0.0693772
+0.0701468
+0.0709495
+0.0716548
+0.0724061
+0.0732032
+0.0740566
+0.0749623
+0.0759102
+0.0768362
+0.0777447
+0.0787005
+0.079705
+0.0785825
+0.0764123
+0.0742434
+0.0720757
+0.0699095
+0.0677449
+0.065582
+0.063421
+0.0612622
+0.0590859
+0.0569014
+0.0547173
+0.0525337
+0.0503508
+0.0481686
+0.0459872
+0.0438067
+0.0416273
+0.0394491
+0.0372724
+0.0350975
+0.0329246
+0.0307543
+0.0285871
+0.0264237
+0.0242653
+0.0221131
+0.0199555
+0.0177958
+0.0156408
+0.0134973
+0.0113718
+0.00927638
+0.00720377
+0.00521403
+0.00333412
+0.00171456
+0.00122082
+0.00272877
+0.00472248
+0.00673984
+0.00880074
+0.010574
+0.0121736
+0.0139254
+0.0157351
+0.0175224
+0.0193484
+0.0210826
+0.0224535
+0.0238399
+0.0253364
+0.0269281
+0.0285967
+0.0303312
+0.0319229
+0.0335741
+0.0352842
+0.0370449
+0.0388467
+0.0406779
+0.0425431
+0.044438
+0.046359
+0.0482967
+0.0502408
+0.0522045
+0.0541856
+0.0561254
+0.0580754
+0.060042
+0.0620236
+0.0630655
+0.0630108
+0.0630322
+0.0631298
+0.063303
+0.0635513
+0.0638235
+0.0640881
+0.0643981
+0.0647807
+0.0652347
+0.0657293
+0.0662554
+0.0668458
+0.0675022
+0.0682226
+0.0690051
+0.0696822
+0.0703739
+0.0711263
+0.0719377
+0.0728058
+0.0737179
+0.0746816
+0.0756629
+0.0765803
+0.0775277
+0.0784922
+0.0783422
+0.0761666
+0.0739919
+0.0718182
+0.0696456
+0.0674741
+0.065304
+0.0631348
+0.0609662
+0.0587988
+0.0566332
+0.0544696
+0.0523083
+0.0501495
+0.0479936
+0.0458358
+0.0436478
+0.04146
+0.0392726
+0.0370855
+0.0348989
+0.0327129
+0.0305275
+0.0283429
+0.0261594
+0.0239771
+0.0217966
+0.0196183
+0.0174431
+0.0152724
+0.0131083
+0.0109548
+0.00879382
+0.00663096
+0.00447218
+0.0023515
+0.000322219
+-3.77117e-05
+0.00209135
+0.00419678
+0.00627722
+0.00817091
+0.00970536
+0.0114077
+0.0132077
+0.0150388
+0.0168485
+0.018636
+0.0200613
+0.0213783
+0.0228259
+0.0243847
+0.0260347
+0.027757
+0.0293274
+0.0309638
+0.0326636
+0.0344177
+0.036209
+0.0380418
+0.0399107
+0.0418108
+0.0437302
+0.0456586
+0.0476097
+0.0495808
+0.0515227
+0.053461
+0.0554182
+0.0573922
+0.0593815
+0.0613844
+0.0620967
+0.0620561
+0.0620929
+0.062204
+0.0622664
+0.0623848
+0.0625798
+0.0628506
+0.0631962
+0.0636154
+0.0640937
+0.0645827
+0.065118
+0.0657186
+0.0663861
+0.0671185
+0.0677809
+0.0684217
+0.069126
+0.0698918
+0.0707173
+0.0715925
+0.0725183
+0.0734978
+0.074454
+0.0753385
+0.0762757
+0.0772521
+0.0781605
+0.0759797
+0.0737995
+0.07162
+0.0694411
+0.0672631
+0.0650859
+0.0629096
+0.0607343
+0.0585602
+0.0563874
+0.054216
+0.0520463
+0.0498783
+0.0477125
+0.0455489
+0.0433869
+0.0412266
+0.0390697
+0.0369167
+0.0347685
+0.0326178
+0.0304304
+0.0282435
+0.0260573
+0.0238719
+0.0216875
+0.0195046
+0.0173172
+0.0151288
+0.0129411
+0.0107545
+0.00857007
+0.00638981
+0.00421574
+0.00204586
+6.1097e-05
+0.000663663
+0.00237914
+0.00425973
+0.00626097
+0.00763713
+0.00919918
+0.0109555
+0.0127558
+0.0145589
+0.0163944
+0.01784
+0.0190981
+0.0204771
+0.0219842
+0.0235987
+0.0252827
+0.0268111
+0.0284262
+0.0301142
+0.0318614
+0.0336457
+0.0354757
+0.0373444
+0.0392419
+0.0411494
+0.0430819
+0.045038
+0.0469799
+0.0489021
+0.0508459
+0.0528091
+0.0547896
+0.0567854
+0.0585303
+0.0602987
+0.0611024
+0.0609851
+0.0609451
+0.0609701
+0.0610127
+0.0611338
+0.0613329
+0.0616094
+0.0619621
+0.0623898
+0.062891
+0.0634222
+0.0639927
+0.0646295
+0.0653084
+0.0659608
+0.0665471
+0.0671996
+0.0679166
+0.0686959
+0.0695356
+0.0704248
+0.0713658
+0.0723576
+0.0732022
+0.0741019
+0.0750414
+0.0760211
+0.0780399
+0.0758556
+0.0736718
+0.0714883
+0.0693054
+0.0671229
+0.064941
+0.0627596
+0.060579
+0.0583991
+0.0562201
+0.054042
+0.0518649
+0.0496891
+0.0475146
+0.0453417
+0.0431706
+0.0410016
+0.038835
+0.0366712
+0.0345109
+0.0323546
+0.0302033
+0.0280581
+0.0259191
+0.0237793
+0.0216496
+0.0195334
+0.0173692
+0.0151976
+0.0130315
+0.0108675
+0.00871701
+0.00659298
+0.00453286
+0.0026878
+0.00155465
+0.00203677
+0.00333532
+0.00500703
+0.00629519
+0.00759778
+0.00915283
+0.0107961
+0.0125249
+0.0143171
+0.015868
+0.0170336
+0.0183471
+0.0197786
+0.0213351
+0.0229396
+0.0244181
+0.0259973
+0.02766
+0.029392
+0.0311797
+0.0329967
+0.0348515
+0.03674
+0.0386446
+0.0405781
+0.0425162
+0.0444154
+0.0463404
+0.048288
+0.0502422
+0.0519904
+0.0537171
+0.0554659
+0.0572451
+0.059052
+0.0598569
+0.0597372
+0.0596958
+0.0597208
+0.0597653
+0.059889
+0.0600923
+0.0603744
+0.0607343
+0.0611706
+0.0616816
+0.062253
+0.0628342
+0.0634857
+0.0642054
+0.0647658
+0.0653628
+0.066027
+0.0667566
+0.0675493
+0.0684031
+0.069306
+0.0702619
+0.0711258
+0.0719846
+0.0728864
+0.0738303
+0.0748225
+0.0779806
+0.0757947
+0.073609
+0.0714237
+0.0692386
+0.067054
+0.0648698
+0.062686
+0.0605027
+0.0583199
+0.0561378
+0.0539564
+0.0517758
+0.049596
+0.0474173
+0.0452397
+0.0430634
+0.0408887
+0.0387158
+0.036545
+0.0343767
+0.0322115
+0.0300499
+0.0278929
+0.0257416
+0.0235976
+0.0214629
+0.0193408
+0.0172226
+0.0151216
+0.0130502
+0.0110249
+0.00907684
+0.00726826
+0.00552177
+0.00405898
+0.00333863
+0.00366929
+0.0046287
+0.0059119
+0.00686282
+0.00806675
+0.00941246
+0.0109438
+0.0125493
+0.0142123
+0.0153213
+0.016481
+0.0178352
+0.0193047
+0.020795
+0.0222002
+0.0237249
+0.0253473
+0.02705
+0.0288187
+0.0306156
+0.0324582
+0.034333
+0.0362317
+0.0381593
+0.0400255
+0.0419231
+0.0437897
+0.0454694
+0.0471909
+0.0489208
+0.0506457
+0.0524055
+0.0541966
+0.0559973
+0.0577911
+0.0586483
+0.0585418
+0.0584862
+0.0584645
+0.0585247
+0.0586668
+0.0588901
+0.0591937
+0.0595618
+0.0600066
+0.0605275
+0.0611109
+0.0617052
+0.0623708
+0.0630866
+0.0636239
+0.0642314
+0.0649072
+0.0656492
+0.0664552
+0.067313
+0.0682265
+0.0691202
+0.0699272
+0.0707875
+0.071695
+0.072652
+0.07365
+0.0779829
+0.075797
+0.0736114
+0.0714262
+0.0692412
+0.0670567
+0.0648725
+0.0626888
+0.0605056
+0.058323
+0.056141
+0.0539597
+0.0517792
+0.0495996
+0.047421
+0.0452436
+0.0430676
+0.0408931
+0.0387204
+0.0365499
+0.0343819
+0.032217
+0.0300559
+0.0278993
+0.0257486
+0.0236051
+0.0214712
+0.01935
+0.0172414
+0.0151454
+0.0130795
+0.0110618
+0.00912431
+0.00733075
+0.00581094
+0.00472624
+0.00446181
+0.00496903
+0.00586969
+0.0068066
+0.00785475
+0.00883043
+0.0100044
+0.0113418
+0.0128284
+0.0140903
+0.0150273
+0.016208
+0.0175833
+0.0189164
+0.0202152
+0.0216581
+0.0232184
+0.0248739
+0.0266043
+0.028368
+0.0301877
+0.0320449
+0.0339302
+0.0357679
+0.0375041
+0.0390856
+0.0407236
+0.0424115
+0.0441389
+0.0458422
+0.0475779
+0.0493497
+0.0511541
+0.0529431
+0.0547494
+0.0565827
+0.057461
+0.0573491
+0.0572866
+0.0572644
+0.057326
+0.057471
+0.0576989
+0.0580087
+0.0583991
+0.0588685
+0.059415
+0.0599793
+0.0605847
+0.0612625
+0.0619911
+0.0625378
+0.0631558
+0.063843
+0.0645972
+0.065406
+0.0662734
+0.067144
+0.0679453
+0.0687641
+0.069632
+0.0705456
+0.0714807
+0.0724701
+0.0780467
+0.0758627
+0.073679
+0.0714958
+0.0693131
+0.0671308
+0.0649492
+0.0627682
+0.0605878
+0.0584083
+0.0562296
+0.0540519
+0.0518753
+0.0496988
+0.0475235
+0.0453498
+0.0431778
+0.0410077
+0.03884
+0.036675
+0.0345132
+0.0323554
+0.0302023
+0.0280549
+0.0259149
+0.023784
+0.0216651
+0.0195621
+0.0174805
+0.0154292
+0.0134165
+0.0114588
+0.00960221
+0.00790001
+0.0064777
+0.00552642
+0.00535449
+0.00587896
+0.00684946
+0.00797631
+0.00907438
+0.00991558
+0.0108387
+0.0120067
+0.0133769
+0.0140923
+0.0150292
+0.0162098
+0.0173451
+0.0185367
+0.0198575
+0.0213159
+0.0228914
+0.0245613
+0.0262926
+0.0280759
+0.0299032
+0.0314889
+0.0329224
+0.0344357
+0.0360187
+0.0376627
+0.0393599
+0.0410611
+0.0427664
+0.0445142
+0.0462996
+0.0481054
+0.0498944
+0.0517143
+0.053562
+0.055394
+0.0562975
+0.0561832
+0.0560916
+0.0560854
+0.0561648
+0.0563293
+0.0565675
+0.0568835
+0.0572815
+0.0577436
+0.0582688
+0.0588681
+0.0595238
+0.0602129
+0.0609531
+0.0615106
+0.0621388
+0.0628371
+0.0635929
+0.0644101
+0.0652435
+0.0659925
+0.0667483
+0.0675512
+0.0684149
+0.0693128
+0.0702643
+0.0712705
+0.0767447
+0.0758202
+0.0738068
+0.0716266
+0.0694472
+0.0672685
+0.0650906
+0.0629135
+0.0607375
+0.0585625
+0.0563888
+0.0542164
+0.0520456
+0.0498765
+0.0477094
+0.0455445
+0.0433822
+0.0412229
+0.0390671
+0.0369155
+0.0347687
+0.0326277
+0.0304938
+0.0283654
+0.0262463
+0.02414
+0.0220501
+0.0199817
+0.0179395
+0.0159327
+0.0139788
+0.0121062
+0.0103592
+0.00881272
+0.00755038
+0.00674827
+0.00660821
+0.00706221
+0.00798735
+0.00920718
+0.0104508
+0.0111763
+0.0119415
+0.0130109
+0.013738
+0.0143878
+0.0153066
+0.0162108
+0.0172042
+0.0183635
+0.0196947
+0.0211644
+0.0227503
+0.0244299
+0.0258784
+0.0271125
+0.0284466
+0.0298655
+0.0313732
+0.0329577
+0.0346084
+0.0362834
+0.0379772
+0.0396941
+0.0414556
+0.0432564
+0.0450489
+0.0468522
+0.0486873
+0.0505348
+0.0523804
+0.0542517
+0.0549574
+0.0548777
+0.0548285
+0.0548222
+0.0549034
+0.0550717
+0.0553263
+0.055666
+0.0560454
+0.0565015
+0.0570383
+0.0576533
+0.0583441
+0.059106
+0.0599335
+0.0605452
+0.0611833
+0.0618818
+0.0626448
+0.0634031
+0.0640781
+0.064766
+0.06552
+0.0663378
+0.0672171
+0.0681281
+0.069096
+0.0701125
+0.0753004
+0.0743579
+0.0734687
+0.0717828
+0.0696066
+0.0674313
+0.0652571
+0.063084
+0.0609122
+0.0587417
+0.0565729
+0.0544058
+0.0522406
+0.0500777
+0.0479173
+0.0457598
+0.0436055
+0.0414551
+0.0393092
+0.0371685
+0.0350339
+0.0329068
+0.0307885
+0.0286811
+0.0265872
+0.0245103
+0.0224549
+0.0204277
+0.0184379
+0.0164992
+0.0146316
+0.0128642
+0.0112089
+0.00976677
+0.00863991
+0.00794853
+0.00782996
+0.00820169
+0.00908667
+0.0102921
+0.0116291
+0.0120585
+0.0126871
+0.0135453
+0.0143778
+0.0150008
+0.015618
+0.016356
+0.0172961
+0.0184494
+0.0197748
+0.0209257
+0.0218998
+0.0229303
+0.0241164
+0.0254178
+0.0268179
+0.0283185
+0.0299044
+0.0315317
+0.0332107
+0.0348958
+0.0366261
+0.0384034
+0.0402163
+0.0419985
+0.0438178
+0.0456697
+0.047516
+0.0493773
+0.0512645
+0.0531751
+0.0536554
+0.053589
+0.0535969
+0.0536187
+0.0537017
+0.0538738
+0.054134
+0.0544694
+0.0548513
+0.0553173
+0.0558654
+0.0564932
+0.057198
+0.0579771
+0.0588276
+0.0596385
+0.0602814
+0.0609858
+0.0616358
+0.0622406
+0.0628741
+0.0635669
+0.0643162
+0.0651305
+0.0660048
+0.0669317
+0.0679166
+0.0689563
+0.0738928
+0.0729321
+0.0720101
+0.0711422
+0.0698046
+0.0676357
+0.0654683
+0.0633025
+0.0611384
+0.0589763
+0.0568164
+0.0546589
+0.0525042
+0.0503526
+0.0482045
+0.0460605
+0.043921
+0.0417867
+0.0396583
+0.037537
+0.0354242
+0.0333214
+0.0312307
+0.0291548
+0.0270968
+0.0250614
+0.0230545
+0.0210842
+0.0191494
+0.0172695
+0.0154717
+0.0137879
+0.0122653
+0.0109585
+0.00995094
+0.00935693
+0.00923422
+0.00954698
+0.010321
+0.0114193
+0.0120118
+0.01253
+0.0131644
+0.0139293
+0.014754
+0.0154165
+0.0160385
+0.0167206
+0.0170465
+0.0175405
+0.0182817
+0.0190919
+0.0200275
+0.0211495
+0.0224079
+0.0237835
+0.0252743
+0.0268328
+0.0284518
+0.0301298
+0.0318176
+0.0335636
+0.0353591
+0.0371566
+0.0389556
+0.040793
+0.0426595
+0.0445081
+0.0463866
+0.0482914
+0.0502195
+0.0521683
+0.052396
+0.0523302
+0.0523531
+0.0524492
+0.0525639
+0.0527397
+0.0530055
+0.0533301
+0.05372
+0.0541958
+0.0547551
+0.0553955
+0.0561141
+0.0568724
+0.0576908
+0.0585229
+0.0594176
+0.0599361
+0.0604631
+0.0610365
+0.0616609
+0.0623561
+0.0631198
+0.063949
+0.0648316
+0.065775
+0.066777
+0.0678316
+0.0724849
+0.0715055
+0.0705784
+0.0696927
+0.0688653
+0.0678996
+0.0657406
+0.0635838
+0.0614293
+0.0592775
+0.0571287
+0.0549832
+0.0528414
+0.0507037
+0.0485708
+0.0464433
+0.0443219
+0.0422076
+0.0401015
+0.038005
+0.0359197
+0.0338477
+0.0317917
+0.0297549
+0.0277415
+0.0257521
+0.023789
+0.021869
+0.0200049
+0.0182135
+0.0165187
+0.0149423
+0.0135281
+0.0123427
+0.0114576
+0.0109456
+0.010788
+0.0110569
+0.0117357
+0.0125606
+0.0127218
+0.0130512
+0.0134675
+0.0135819
+0.0140005
+0.014387
+0.0147326
+0.0149135
+0.0151654
+0.0156596
+0.0163752
+0.01718
+0.0182141
+0.0194258
+0.0207678
+0.0222203
+0.0237498
+0.0253764
+0.0270415
+0.0287437
+0.0305083
+0.0323251
+0.0341039
+0.0359222
+0.0377801
+0.0396463
+0.0415135
+0.043411
+0.045335
+0.0472821
+0.0492498
+0.0512355
+0.051196
+0.0511085
+0.0510805
+0.0511417
+0.0512831
+0.0515088
+0.0518167
+0.0521504
+0.052549
+0.0530352
+0.0536066
+0.0542604
+0.0549938
+0.0557689
+0.0566032
+0.0574671
+0.0583355
+0.0587954
+0.0592922
+0.0598547
+0.0604913
+0.0611998
+0.0619777
+0.0628142
+0.0637121
+0.0646719
+0.0656886
+0.0667358
+0.0711065
+0.0701079
+0.0691642
+0.0682738
+0.0674332
+0.066654
+0.065625
+0.0639169
+0.0617755
+0.0596376
+0.0575037
+0.0553743
+0.0532498
+0.0511309
+0.0490183
+0.0469129
+0.0448157
+0.0427278
+0.0406508
+0.0385863
+0.0365366
+0.0345041
+0.0324899
+0.0304889
+0.0285153
+0.0265751
+0.0246713
+0.0228191
+0.0210321
+0.019325
+0.0177199
+0.0162521
+0.0149622
+0.0138997
+0.0131158
+0.0125631
+0.0123389
+0.012476
+0.0129386
+0.0132917
+0.0133771
+0.0132989
+0.0130257
+0.013041
+0.0131183
+0.0129698
+0.012865
+0.0129273
+0.013202
+0.0137668
+0.0144315
+0.0153386
+0.0164865
+0.0177617
+0.0191466
+0.0206714
+0.0223073
+0.0239558
+0.0256756
+0.0274626
+0.0292677
+0.0310601
+0.0329008
+0.0347821
+0.0366473
+0.0385353
+0.0404539
+0.0423988
+0.0443667
+0.0463545
+0.0483599
+0.0501121
+0.0499659
+0.049856
+0.0498273
+0.0498949
+0.0500411
+0.0502811
+0.0505978
+0.0509218
+0.05133
+0.0518276
+0.0524121
+0.0530807
+0.0538302
+0.0546572
+0.0555584
+0.0564628
+0.0572282
+0.0576616
+0.0581574
+0.0587308
+0.0593795
+0.0601011
+0.0608846
+0.0617329
+0.0626406
+0.0636019
+0.0646232
+0.0656838
+0.0697697
+0.0687516
+0.0677891
+0.0668846
+0.0660337
+0.0652377
+0.0643061
+0.0632953
+0.0619613
+0.05983
+0.0577033
+0.0555815
+0.0534652
+0.0513552
+0.0492523
+0.0471573
+0.0450714
+0.042996
+0.0409326
+0.0388831
+0.0368498
+0.0348357
+0.0328441
+0.0308796
+0.0289409
+0.0270401
+0.0251864
+0.0233911
+0.0216686
+0.0200378
+0.0185141
+0.0171146
+0.0158949
+0.0148991
+0.0141744
+0.0137567
+0.0136206
+0.013762
+0.0141827
+0.014044
+0.0135256
+0.0129681
+0.0126061
+0.0119715
+0.0114942
+0.0111936
+0.0109456
+0.0110099
+0.0113222
+0.0118212
+0.0125694
+0.0136012
+0.0147351
+0.0160822
+0.0175998
+0.0192203
+0.0208737
+0.0226158
+0.0244301
+0.0262117
+0.0280283
+0.0298951
+0.0317909
+0.0336662
+0.0355775
+0.0375195
+0.0394874
+0.0414777
+0.0434873
+0.0455135
+0.0475544
+0.0488621
+0.0487502
+0.0486571
+0.0486277
+0.048697
+0.0488326
+0.0490407
+0.0493452
+0.0497445
+0.0501653
+0.0506742
+0.0512718
+0.051955
+0.0527204
+0.0535645
+0.0544837
+0.0554573
+0.0561183
+0.0565469
+0.0570564
+0.0576448
+0.0582962
+0.0590192
+0.0598138
+0.0606771
+0.0615955
+0.0625729
+0.0636004
+0.0646673
+0.0684769
+0.0674393
+0.0664578
+0.0655349
+0.064673
+0.0638652
+0.0629428
+0.0619627
+0.0610279
+0.0601018
+0.057985
+0.0558739
+0.0537691
+0.0516715
+0.049582
+0.0475016
+0.0454315
+0.0433733
+0.0413287
+0.0392978
+0.0372816
+0.0352862
+0.0333154
+0.0313737
+0.029467
+0.0276024
+0.0257892
+0.024039
+0.022364
+0.0207626
+0.0192775
+0.0179376
+0.0167776
+0.0158127
+0.015072
+0.0146248
+0.0144984
+0.0146428
+0.0149273
+0.0140012
+0.0133143
+0.0122875
+0.0112758
+0.0104014
+0.00969511
+0.00924567
+0.00902651
+0.00911548
+0.00934222
+0.00992163
+0.0107537
+0.0117458
+0.0130339
+0.0145395
+0.0161287
+0.0177972
+0.0195679
+0.021386
+0.0231668
+0.0250127
+0.0269104
+0.028807
+0.0307083
+0.0326458
+0.0346136
+0.0366067
+0.0386211
+0.0406539
+0.0427022
+0.044764
+0.0468376
+0.0476412
+0.0475268
+0.0474932
+0.0474457
+0.0474776
+0.0476103
+0.0478247
+0.048137
+0.0485462
+0.0490499
+0.0495738
+0.0501845
+0.0508822
+0.0516635
+0.0525246
+0.0534617
+0.054317
+0.0549914
+0.0554956
+0.0560147
+0.0566001
+0.0572608
+0.0579968
+0.0587964
+0.0596383
+0.0605406
+0.0615056
+0.0625314
+0.0635971
+0.0672306
+0.0661735
+0.0651729
+0.0642315
+0.0633519
+0.0624921
+0.0615454
+0.0606259
+0.0596882
+0.0588172
+0.0579669
+0.0562458
+0.0541532
+0.0520687
+0.0499932
+0.0479281
+0.0458745
+0.0438343
+0.0418093
+0.0398018
+0.0378146
+0.0358508
+0.0339142
+0.0320032
+0.0301189
+0.0282788
+0.0264922
+0.0247705
+0.0231282
+0.0215836
+0.0201591
+0.0188818
+0.017759
+0.0168199
+0.0161255
+0.0157084
+0.0155048
+0.0154837
+0.0150577
+0.0139549
+0.0125113
+0.0111566
+0.00985782
+0.00875082
+0.00792525
+0.00743415
+0.00708885
+0.0070948
+0.00744702
+0.00798282
+0.00883178
+0.010016
+0.0114634
+0.0130383
+0.0147298
+0.0165387
+0.018325
+0.0201382
+0.0220201
+0.0239546
+0.0258501
+0.0277809
+0.0297478
+0.0317441
+0.0337644
+0.0358048
+0.037862
+0.0399334
+0.0420169
+0.0441107
+0.0462136
+0.046469
+0.0462943
+0.0462198
+0.0462491
+0.0462929
+0.0464276
+0.0466648
+0.0469998
+0.0474188
+0.0479344
+0.0485434
+0.0491703
+0.0498823
+0.0506791
+0.0515566
+0.052413
+0.053112
+0.0537921
+0.0544473
+0.054993
+0.0556195
+0.0562507
+0.0569541
+0.0577322
+0.0585819
+0.0594981
+0.0604758
+0.0615159
+0.0625778
+0.0660312
+0.064957
+0.0639374
+0.0629775
+0.0620801
+0.0610622
+0.0600933
+0.0591894
+0.058347
+0.0574907
+0.0566706
+0.0559068
+0.0545952
+0.0525282
+0.0504717
+0.0484269
+0.0463941
+0.0443729
+0.0423686
+0.0403836
+0.038421
+0.0364844
+0.0345719
+0.0326889
+0.0308466
+0.0290526
+0.0273166
+0.0256503
+0.0240682
+0.0225879
+0.0212309
+0.0199341
+0.018763
+0.0177753
+0.0169758
+0.01641
+0.0161244
+0.0160931
+0.0150776
+0.0133819
+0.0117612
+0.0101487
+0.00861254
+0.0072289
+0.00622581
+0.00552505
+0.00514181
+0.00511323
+0.00552728
+0.00604576
+0.00706797
+0.00837709
+0.00995085
+0.0116785
+0.0135238
+0.0152789
+0.0171344
+0.0190612
+0.0210106
+0.0229304
+0.024895
+0.0268945
+0.0289218
+0.0309713
+0.0330389
+0.0351215
+0.0372164
+0.0393217
+0.0414344
+0.0435531
+0.0454384
+0.045273
+0.0450936
+0.0450171
+0.0450472
+0.0450827
+0.0452225
+0.0454675
+0.0458027
+0.0462325
+0.0467612
+0.0473853
+0.048098
+0.0488446
+0.0496437
+0.0504318
+0.0513013
+0.0519674
+0.0526566
+0.0533979
+0.0539539
+0.0545449
+0.0551818
+0.0558954
+0.0566846
+0.0575465
+0.0584778
+0.0594752
+0.0603778
+0.061245
+0.0648835
+0.063791
+0.0627539
+0.0617756
+0.0607085
+0.0596649
+0.0586732
+0.0577477
+0.0568915
+0.0560998
+0.0553751
+0.0545941
+0.053891
+0.0530503
+0.0510106
+0.0489839
+0.046972
+0.0449768
+0.0430006
+0.0410462
+0.0391169
+0.0372165
+0.0353417
+0.033502
+0.031707
+0.0299646
+0.0282232
+0.0265374
+0.0249303
+0.0234181
+0.0220013
+0.0207043
+0.0195662
+0.0185731
+0.0177896
+0.0172505
+0.016979
+0.0164292
+0.0145143
+0.0126553
+0.0108105
+0.0091088
+0.00738957
+0.00574079
+0.00442303
+0.00354528
+0.00307883
+0.00310411
+0.00356523
+0.00425125
+0.00530463
+0.00687281
+0.00866054
+0.0104564
+0.0122589
+0.0141713
+0.0161545
+0.0181057
+0.0200643
+0.0220666
+0.0241017
+0.0261619
+0.0282402
+0.0303319
+0.0324353
+0.0345496
+0.0366728
+0.0388035
+0.0409048
+0.0423733
+0.0436088
+0.0440429
+0.0438553
+0.0437767
+0.0438076
+0.0438557
+0.0439994
+0.0442511
+0.0446092
+0.0450536
+0.0455956
+0.0462352
+0.0469682
+0.047703
+0.0485163
+0.0493727
+0.050245
+0.0508856
+0.0515892
+0.0523212
+0.052854
+0.0534596
+0.0541128
+0.0548403
+0.0556445
+0.0565222
+0.0574624
+0.0582083
+0.0590261
+0.0599129
+0.0637904
+0.0626788
+0.0616244
+0.0604898
+0.059368
+0.0583069
+0.0573003
+0.0563522
+0.0554745
+0.0546705
+0.0539333
+0.0532707
+0.052617
+0.0519794
+0.0514274
+0.0496284
+0.0476437
+0.0456779
+0.0437334
+0.0418124
+0.0399108
+0.038016
+0.0361236
+0.0342667
+0.0324515
+0.0306854
+0.0289772
+0.027338
+0.0257522
+0.0242601
+0.0228806
+0.0216354
+0.0205088
+0.0195582
+0.0188158
+0.0183069
+0.0180513
+0.0161001
+0.014103
+0.0120457
+0.0100436
+0.00809862
+0.00629479
+0.00447943
+0.00285709
+0.00166848
+0.00113324
+0.00105078
+0.00161874
+0.00230192
+0.00382729
+0.0057252
+0.00741393
+0.00929053
+0.0112809
+0.0133343
+0.0152752
+0.0172713
+0.0193066
+0.0213724
+0.0234608
+0.0255664
+0.0276852
+0.0298144
+0.0319519
+0.0340961
+0.0362459
+0.0378377
+0.0392924
+0.040813
+0.0417434
+0.0426442
+0.0426586
+0.0425778
+0.0425882
+0.0426237
+0.0427715
+0.0430305
+0.0433986
+0.0438732
+0.0444382
+0.0450945
+0.045802
+0.0465454
+0.0473786
+0.0482968
+0.049216
+0.0498766
+0.0505942
+0.0512424
+0.0517862
+0.052416
+0.0531072
+0.0538483
+0.0546671
+0.0554354
+0.056126
+0.0568895
+0.057726
+0.0586324
+0.0627433
+0.0616245
+0.0604293
+0.0592254
+0.0580792
+0.0569942
+0.0559647
+0.0549953
+0.0540973
+0.0532743
+0.0525299
+0.0518555
+0.0512598
+0.0507517
+0.0501865
+0.0494373
+0.0483968
+0.0464175
+0.0444572
+0.0425129
+0.0405937
+0.0387033
+0.0368454
+0.0350183
+0.0332352
+0.0314978
+0.0298111
+0.0281938
+0.0266586
+0.0252204
+0.0238967
+0.0227035
+0.0216281
+0.0207289
+0.0200299
+0.0195526
+0.0179368
+0.0159316
+0.0137982
+0.0116862
+0.00960935
+0.00753563
+0.00545666
+0.00351329
+0.00169019
+-2.97209e-05
+-0.000908596
+-0.000955098
+-0.000394751
+0.00099474
+0.00268903
+0.00444884
+0.00644528
+0.00853751
+0.0105385
+0.0125181
+0.0145582
+0.0166367
+0.0187407
+0.0208626
+0.0229974
+0.0251419
+0.0272936
+0.0294511
+0.0316132
+0.0334049
+0.0347691
+0.0362146
+0.0377319
+0.03907
+0.039911
+0.040851
+0.0415236
+0.0414406
+0.041426
+0.0414625
+0.0416144
+0.0418805
+0.0422587
+0.0427459
+0.0433251
+0.0439984
+0.0446927
+0.0454545
+0.0463044
+0.0472239
+0.0481829
+0.0489448
+0.049676
+0.050204
+0.050759
+0.0514014
+0.052128
+0.052917
+0.0535069
+0.0541411
+0.0548447
+0.0556257
+0.0564809
+0.057407
+0.0617521
+0.0605276
+0.0592448
+0.0580163
+0.0568457
+0.0557367
+0.0546824
+0.0536899
+0.0527697
+0.0519256
+0.0511615
+0.050481
+0.0498838
+0.0493615
+0.0489289
+0.0482719
+0.0475286
+0.0468755
+0.0451374
+0.0432168
+0.0413231
+0.0394601
+0.0376325
+0.0358393
+0.0340859
+0.0323858
+0.0307479
+0.0291826
+0.0277022
+0.026321
+0.0250556
+0.0239207
+0.0229027
+0.0220555
+0.0213999
+0.0199226
+0.0179612
+0.0158538
+0.0137041
+0.0115697
+0.00946114
+0.00731988
+0.00516728
+0.00306061
+0.000921803
+-0.00109789
+-0.00282442
+-0.00292771
+-0.00177042
+-6.30453e-05
+0.00178598
+0.00392301
+0.00591168
+0.00788608
+0.00995141
+0.0120321
+0.0141425
+0.0162742
+0.0184197
+0.0205747
+0.0227366
+0.0248553
+0.0269586
+0.0290749
+0.0303624
+0.0317062
+0.0331405
+0.034654
+0.0362223
+0.037235
+0.0381164
+0.0390919
+0.0401489
+0.0403643
+0.0403181
+0.0403783
+0.0405352
+0.0408083
+0.0411963
+0.0416833
+0.0422658
+0.0429278
+0.04363
+0.044389
+0.0452414
+0.0461821
+0.0472058
+0.0480949
+0.0487513
+0.0492252
+0.049791
+0.0504221
+0.0510719
+0.0516923
+0.0522613
+0.0529024
+0.0536222
+0.0544207
+0.0552946
+0.0562233
+0.0607808
+0.0594217
+0.0581135
+0.0568596
+0.0556637
+0.0545297
+0.0534592
+0.0524435
+0.051501
+0.0506358
+0.049852
+0.0491533
+0.0485436
+0.0480261
+0.0475894
+0.0471699
+0.0464192
+0.0457502
+0.0451777
+0.043999
+0.0421404
+0.0403087
+0.0385096
+0.036753
+0.0350454
+0.0333942
+0.0318082
+0.0302977
+0.0288745
+0.0275522
+0.026346
+0.0252627
+0.0243006
+0.0235038
+0.0221338
+0.0200162
+0.0178345
+0.0156555
+0.0134801
+0.0113107
+0.00915151
+0.00699722
+0.00486544
+0.00282431
+0.000899128
+-0.00124407
+-0.00339486
+-0.00423881
+-0.0023238
+-0.000300519
+0.00106421
+0.00306302
+0.0051781
+0.00732235
+0.00948783
+0.0116627
+0.0138426
+0.0160255
+0.0182002
+0.0202839
+0.022388
+0.0245072
+0.0260706
+0.0273325
+0.0286509
+0.0300713
+0.0315799
+0.0331488
+0.0346294
+0.0354403
+0.0363653
+0.0373779
+0.0384821
+0.0392767
+0.0392173
+0.0392802
+0.0394648
+0.0397282
+0.0401034
+0.0405936
+0.0411924
+0.0418774
+0.0425965
+0.0433736
+0.0442457
+0.0452072
+0.0462057
+0.0472479
+0.0477404
+0.0481471
+0.0486302
+0.0492061
+0.0498717
+0.050497
+0.0510742
+0.0517268
+0.0524627
+0.0532603
+0.054134
+0.055081
+0.0597475
+0.0583644
+0.0570319
+0.0557537
+0.0545336
+0.0533755
+0.0522836
+0.0512586
+0.050294
+0.0494077
+0.048604
+0.0478872
+0.0472611
+0.0467294
+0.0462954
+0.0459467
+0.0453749
+0.0446896
+0.0441027
+0.0435971
+0.0430362
+0.0412397
+0.0394831
+0.0377718
+0.0361124
+0.0345123
+0.0329801
+0.0315258
+0.0301607
+0.0288973
+0.0277475
+0.0266962
+0.0257876
+0.0244191
+0.0222378
+0.0200585
+0.0178821
+0.0157096
+0.0135429
+0.0113855
+0.00924035
+0.00705778
+0.00488145
+0.00272629
+0.000751354
+-0.000626267
+-0.0019019
+-0.00237813
+-0.00195909
+-0.000438011
+0.00104005
+0.00307316
+0.00516259
+0.00731139
+0.00947938
+0.0116559
+0.0138368
+0.0159084
+0.0179907
+0.0200961
+0.0219565
+0.0230425
+0.0242752
+0.0256059
+0.0270088
+0.0285111
+0.0300797
+0.0316924
+0.0328385
+0.0336925
+0.0346622
+0.0357161
+0.0368701
+0.0381151
+0.0381921
+0.0382567
+0.038429
+0.0387075
+0.0390925
+0.0395952
+0.0402097
+0.0409112
+0.041647
+0.0424416
+0.0433253
+0.0442229
+0.0452089
+0.0462004
+0.0465575
+0.0469694
+0.0474644
+0.0480543
+0.0487357
+0.04937
+0.0499517
+0.0505989
+0.0513311
+0.0521451
+0.0530307
+0.0539799
+0.0587686
+0.0573713
+0.0560152
+0.0547132
+0.0534694
+0.0522877
+0.0511726
+0.0501285
+0.0491536
+0.0482464
+0.047423
+0.046688
+0.0460456
+0.0454998
+0.0450539
+0.044711
+0.0443842
+0.0436985
+0.043098
+0.042565
+0.0421105
+0.0417595
+0.0405517
+0.0388875
+0.0372777
+0.0357298
+0.0342522
+0.0328543
+0.0315466
+0.030341
+0.0292241
+0.028227
+0.0268134
+0.0246493
+0.0224903
+0.0203381
+0.0181952
+0.0160425
+0.0138926
+0.0117575
+0.00964667
+0.00758067
+0.00560846
+0.00382287
+0.00227022
+0.000843993
+-0.000314695
+-0.00097131
+-0.000704584
+0.000916032
+0.00218135
+0.0039761
+0.00592636
+0.0078988
+0.00984761
+0.0118365
+0.0138861
+0.0159716
+0.017938
+0.0190082
+0.020036
+0.0212171
+0.0225497
+0.023955
+0.0254483
+0.0270159
+0.028642
+0.0301645
+0.0310988
+0.0319993
+0.0330092
+0.0341141
+0.0353204
+0.0366182
+0.037243
+0.0373079
+0.0374773
+0.0377726
+0.0381807
+0.0386952
+0.0393241
+0.0399886
+0.0407178
+0.0415497
+0.0423739
+0.0432913
+0.044298
+0.0450836
+0.0454494
+0.0458602
+0.0463671
+0.0469708
+0.0476637
+0.048289
+0.0488597
+0.0495207
+0.0502661
+0.0510789
+0.0519714
+0.0529396
+0.0576867
+0.0563522
+0.0550577
+0.0537345
+0.052468
+0.0512639
+0.0501266
+0.0490609
+0.0480705
+0.0471491
+0.0463115
+0.0455586
+0.0449
+0.04434
+0.0438824
+0.0435303
+0.0432738
+0.042784
+0.0421769
+0.0416224
+0.0411575
+0.0408051
+0.0405519
+0.0400919
+0.0385325
+0.0370371
+0.0356137
+0.0342714
+0.0330199
+0.0318529
+0.0307851
+0.0293397
+0.0272002
+0.0250613
+0.0229199
+0.0207887
+0.0186713
+0.0165727
+0.014501
+0.0124696
+0.0105015
+0.00864065
+0.00684302
+0.00521862
+0.00373015
+0.00264049
+0.00102998
+0.000881507
+0.00126302
+0.000766025
+0.00236016
+0.00435769
+0.00633618
+0.00834488
+0.0102831
+0.0122417
+0.0140859
+0.0150768
+0.0160909
+0.0170604
+0.0181727
+0.0194672
+0.0208986
+0.0223873
+0.0239555
+0.0256031
+0.0272702
+0.0284181
+0.0294167
+0.0303672
+0.0314219
+0.0325807
+0.0338417
+0.0351941
+0.0363923
+0.0364587
+0.036632
+0.036934
+0.0373623
+0.0379005
+0.0384753
+0.0391129
+0.0398609
+0.0406703
+0.0415097
+0.0424457
+0.0434721
+0.0440474
+0.0444142
+0.0448305
+0.0453489
+0.045966
+0.046665
+0.0472563
+0.0478392
+0.0485003
+0.0492448
+0.0500742
+0.0509843
+0.051964
+0.0566545
+0.0552951
+0.0539903
+0.052739
+0.0515295
+0.0503029
+0.0491434
+0.0480559
+0.0470444
+0.0461025
+0.0452469
+0.044476
+0.0438011
+0.0432269
+0.0427573
+0.0423959
+0.042131
+0.0419591
+0.0413192
+0.040756
+0.0403011
+0.0399412
+0.0396932
+0.0395475
+0.0395229
+0.0384248
+0.0370548
+0.0357666
+0.0345596
+0.0334348
+0.0319501
+0.0298205
+0.0277005
+0.0255924
+0.0234994
+0.0214257
+0.0193776
+0.017364
+0.0153981
+0.0135012
+0.0116572
+0.00985728
+0.00824859
+0.00676797
+0.00545861
+0.00394021
+0.00294022
+0.00300988
+0.00270884
+0.0024946
+0.00352262
+0.00519438
+0.00712101
+0.00913028
+0.0110171
+0.0115199
+0.0123291
+0.0132392
+0.0141111
+0.01515
+0.0163905
+0.0178034
+0.0193381
+0.0209055
+0.0225761
+0.0241974
+0.02558
+0.0267373
+0.0277957
+0.0287997
+0.0299109
+0.031126
+0.0324436
+0.0338519
+0.0353399
+0.035682
+0.0358584
+0.0361669
+0.0366041
+0.0370944
+0.0376333
+0.038285
+0.0390489
+0.0398753
+0.0407311
+0.0416846
+0.0427293
+0.0430978
+0.0434514
+0.0438768
+0.0444064
+0.0450364
+0.0457495
+0.0462923
+0.0468728
+0.047542
+0.0483013
+0.0491466
+0.0500664
+0.0510526
+0.0556893
+0.0543057
+0.0529766
+0.0517062
+0.0504957
+0.0493377
+0.0482397
+0.0471313
+0.0460996
+0.0451379
+0.0442637
+0.0434754
+0.0427848
+0.0421967
+0.0417156
+0.041345
+0.0410733
+0.0409094
+0.0405619
+0.039988
+0.0395273
+0.0391808
+0.038928
+0.0387794
+0.0387543
+0.0388454
+0.0385665
+0.0373271
+0.0361557
+0.0346186
+0.0325162
+0.0304263
+0.0283516
+0.0262956
+0.024263
+0.0222602
+0.0202956
+0.0183819
+0.0165211
+0.0146637
+0.0129113
+0.0113127
+0.00984277
+0.00844468
+0.00697952
+0.00574292
+0.00502634
+0.00484165
+0.00463226
+0.00454279
+0.00522589
+0.0065528
+0.00819189
+0.00906848
+0.00917592
+0.00973795
+0.0105048
+0.0112398
+0.0121648
+0.0133238
+0.0147095
+0.0162551
+0.0178721
+0.0195564
+0.021132
+0.0226961
+0.0239558
+0.0251121
+0.0262575
+0.0273181
+0.0284884
+0.0297616
+0.031137
+0.0326018
+0.0341443
+0.0350148
+0.0351946
+0.0354606
+0.0358288
+0.036281
+0.0368264
+0.0374921
+0.0382547
+0.0390346
+0.0399085
+0.0408812
+0.0419458
+0.0422406
+0.0425795
+0.0430136
+0.0435536
+0.0441958
+0.044906
+0.0453988
+0.0459851
+0.046667
+0.0474403
+0.0482932
+0.0492174
+0.0502202
+0.0547815
+0.0533747
+0.0520221
+0.0507281
+0.0494972
+0.0483344
+0.0472379
+0.046206
+0.0452336
+0.0442609
+0.043369
+0.0425641
+0.0418584
+0.0412572
+0.040765
+0.0403857
+0.0401075
+0.0399396
+0.0398915
+0.0393271
+0.0388586
+0.0385093
+0.038262
+0.038122
+0.0380964
+0.0381967
+0.038269
+0.0381831
+0.0373535
+0.0352781
+0.0332175
+0.0311745
+0.0291528
+0.0271572
+0.0251935
+0.0232702
+0.0213983
+0.019516
+0.0177018
+0.0159823
+0.0143913
+0.0129282
+0.0114902
+0.0100454
+0.0086936
+0.0077085
+0.00711131
+0.00672919
+0.00666952
+0.00666241
+0.00718968
+0.00810004
+0.00788406
+0.00738379
+0.00751536
+0.0080388
+0.00852857
+0.00921561
+0.0102759
+0.0116178
+0.0131618
+0.0148653
+0.0165657
+0.0180776
+0.0196407
+0.0211427
+0.0223638
+0.023578
+0.0248175
+0.0259371
+0.0271682
+0.0285005
+0.0299339
+0.0314547
+0.0330496
+0.0344428
+0.0345537
+0.0347938
+0.0351492
+0.0355773
+0.0361334
+0.0367939
+0.0375139
+0.0382981
+0.0391884
+0.0401785
+0.0411623
+0.041447
+0.0418044
+0.0422464
+0.0427961
+0.0434495
+0.0440934
+0.0445894
+0.0451862
+0.04588
+0.0466585
+0.0475136
+0.0484527
+0.049471
+0.0539384
+0.0525145
+0.0511391
+0.0498222
+0.0485684
+0.0473827
+0.0462705
+0.045237
+0.0442692
+0.0433668
+0.0425582
+0.041748
+0.0410283
+0.0404147
+0.0399121
+0.0395246
+0.0392404
+0.0390687
+0.0389957
+0.0387631
+0.0383038
+0.0379493
+0.0376983
+0.0375696
+0.0375549
+0.0376567
+0.037885
+0.0379376
+0.0379775
+0.0360587
+0.0340452
+0.0320547
+0.0300916
+0.0281619
+0.0262733
+0.0243868
+0.0225388
+0.0207577
+0.019062
+0.0174768
+0.0159922
+0.014558
+0.0130223
+0.0114908
+0.0102028
+0.00926029
+0.00874303
+0.00865162
+0.0085229
+0.00845046
+0.00881293
+0.00769622
+0.00659349
+0.00598633
+0.00606921
+0.00605425
+0.00639765
+0.00727066
+0.00853027
+0.0100715
+0.0118033
+0.0136196
+0.0150413
+0.0165832
+0.0180611
+0.0195813
+0.0208479
+0.0221546
+0.0234291
+0.0246637
+0.025966
+0.0273569
+0.0288472
+0.0304141
+0.0320495
+0.0337048
+0.0340063
+0.0342503
+0.0345616
+0.0349969
+0.0355436
+0.036156
+0.0368642
+0.037661
+0.038566
+0.0395717
+0.0404557
+0.0407454
+0.0411314
+0.0415806
+0.042139
+0.0428024
+0.0433704
+0.0438745
+0.0444809
+0.0451774
+0.0459557
+0.0468235
+0.0477762
+0.0488086
+0.0531427
+0.0517092
+0.0503303
+0.0489976
+0.0477221
+0.0465149
+0.0453814
+0.0443272
+0.0433467
+0.0424347
+0.0416079
+0.0408819
+0.0402546
+0.0396754
+0.0391633
+0.0387684
+0.0384543
+0.0382549
+0.0381804
+0.0382314
+0.0378514
+0.0375029
+0.0372552
+0.0371249
+0.0371237
+0.0372379
+0.0374688
+0.0378177
+0.0378577
+0.0369525
+0.0349898
+0.0330557
+0.0311557
+0.0292668
+0.0273977
+0.0255797
+0.0238245
+0.0221469
+0.0205342
+0.0190085
+0.017571
+0.0158804
+0.0143195
+0.0129425
+0.0118138
+0.0110101
+0.0105787
+0.0105668
+0.010308
+0.00942177
+0.00821208
+0.00698795
+0.00576033
+0.00497106
+0.00423868
+0.00401541
+0.00432685
+0.00544606
+0.00698818
+0.00876344
+0.0105254
+0.0120364
+0.0135248
+0.0149863
+0.0165638
+0.0180448
+0.019461
+0.0208443
+0.0221295
+0.0234326
+0.0248499
+0.0263262
+0.0278717
+0.0294425
+0.0310822
+0.0327864
+0.0335697
+0.0338003
+0.0341048
+0.0345137
+0.0350202
+0.0356416
+0.0363342
+0.0371425
+0.0380598
+0.0389785
+0.0396758
+0.0401512
+0.0405615
+0.0410211
+0.0415871
+0.0422548
+0.0427475
+0.0432589
+0.0438655
+0.044559
+0.0453478
+0.0462271
+0.0471918
+0.0482367
+0.0524265
+0.0509729
+0.0495735
+0.048233
+0.0469565
+0.0457356
+0.0445823
+0.0435088
+0.0425091
+0.0415791
+0.0407349
+0.039993
+0.0393592
+0.0388311
+0.0384044
+0.0380697
+0.0377546
+0.0375515
+0.0374755
+0.0375275
+0.0374569
+0.0371592
+0.0369264
+0.0368054
+0.0368042
+0.0369332
+0.0371772
+0.0375365
+0.0378645
+0.0379507
+0.0360424
+0.0341522
+0.0322686
+0.0304262
+0.0286328
+0.0268984
+0.0252095
+0.0235796
+0.022047
+0.0204791
+0.0188099
+0.017241
+0.015815
+0.0145799
+0.0135879
+0.0128953
+0.0125206
+0.0118581
+0.01006
+0.0084094
+0.00705908
+0.00617326
+0.00533745
+0.00375294
+0.00276789
+0.00185031
+0.00239198
+0.00392159
+0.00578576
+0.00743394
+0.00900723
+0.0104899
+0.0119233
+0.013503
+0.015084
+0.016615
+0.0182287
+0.0196492
+0.0209786
+0.0223364
+0.0238158
+0.0253981
+0.0269397
+0.0285551
+0.0302429
+0.0319918
+0.0332411
+0.0334352
+0.0337238
+0.0341154
+0.0346277
+0.0352306
+0.0359302
+0.0367474
+0.0375933
+0.0381991
+0.0389094
+0.0396692
+0.0400845
+0.0405724
+0.0411445
+0.0418096
+0.0422293
+0.0427382
+0.0433391
+0.0440409
+0.0448389
+0.045728
+0.046703
+0.0477586
+0.0517771
+0.0503212
+0.0489032
+0.0475438
+0.0462483
+0.0450222
+0.0438695
+0.0427781
+0.0417698
+0.0408231
+0.039963
+0.0392065
+0.0385598
+0.0380284
+0.0376094
+0.0372976
+0.0371127
+0.0369481
+0.0368709
+0.0369238
+0.0371062
+0.0368924
+0.0367082
+0.0366039
+0.0366132
+0.0367429
+0.0369933
+0.0373544
+0.0378391
+0.038034
+0.0371467
+0.035287
+0.0334674
+0.0316947
+0.0299563
+0.0282605
+0.0266371
+0.0251001
+0.0234359
+0.021773
+0.0202109
+0.0187595
+0.0174579
+0.0163474
+0.0154692
+0.0148645
+0.0133726
+0.0114151
+0.00955937
+0.00786015
+0.00642995
+0.00532602
+0.00412887
+0.00334444
+0.00157708
+-0.000140065
+0.000922244
+0.00285512
+0.00435118
+0.00591747
+0.00750661
+0.00888428
+0.0104642
+0.0121082
+0.0137553
+0.0153637
+0.017096
+0.0186301
+0.019984
+0.0214018
+0.0229416
+0.024573
+0.026151
+0.0278123
+0.0295426
+0.0313185
+0.0330014
+0.0331819
+0.0334498
+0.0338173
+0.0343209
+0.0349514
+0.0356491
+0.0363961
+0.0369066
+0.0375307
+0.0382534
+0.0390852
+0.0397227
+0.040238
+0.0408133
+0.0414063
+0.0418106
+0.0423114
+0.0429183
+0.0436268
+0.0444322
+0.0453293
+0.0463127
+0.047377
+0.0511933
+0.0497223
+0.0483059
+0.0469453
+0.0456328
+0.0443897
+0.0432219
+0.04213
+0.0411174
+0.0401716
+0.0392981
+0.0385286
+0.0378703
+0.0373292
+0.0369103
+0.0365935
+0.036405
+0.0363479
+0.0363797
+0.0364332
+0.036618
+0.0367316
+0.0365696
+0.0365154
+0.0365421
+0.0366826
+0.0369334
+0.0372951
+0.0377806
+0.0375808
+0.0370828
+0.0365181
+0.0347452
+0.0330047
+0.0313208
+0.0296879
+0.0280478
+0.0264251
+0.0247691
+0.0232019
+0.0217427
+0.0204005
+0.0192105
+0.0182072
+0.0169933
+0.0151861
+0.0133459
+0.0113838
+0.009522
+0.00781467
+0.00628184
+0.00446096
+0.00299832
+0.00199613
+0.00049646
+-0.00102894
+-0.000185106
+0.00131049
+0.00284348
+0.00457143
+0.00590635
+0.00747429
+0.00921341
+0.0108362
+0.0126013
+0.0143398
+0.0161821
+0.0177951
+0.0191855
+0.0206525
+0.0222338
+0.0239073
+0.0255266
+0.0272259
+0.0289913
+0.0307688
+0.0325257
+0.0330442
+0.0332722
+0.0336416
+0.0341478
+0.0346669
+0.0352989
+0.0358158
+0.0363258
+0.0369423
+0.0376763
+0.038521
+0.0394514
+0.0400167
+0.0405893
+0.0410909
+0.04149
+0.0419946
+0.042606
+0.0433197
+0.0441307
+0.0450338
+0.0460235
+0.0470944
+0.0506974
+0.0492116
+0.0477801
+0.0464078
+0.0451003
+0.0438461
+0.0426635
+0.0415627
+0.0405484
+0.0395847
+0.038721
+0.0379642
+0.037297
+0.0367474
+0.0363219
+0.0359998
+0.0358083
+0.0357501
+0.0358261
+0.0360338
+0.0362559
+0.036573
+0.036539
+0.0365079
+0.0365849
+0.0367424
+0.0370034
+0.0373644
+0.0378367
+0.0372281
+0.0367253
+0.0363478
+0.0360347
+0.0342823
+0.0325789
+0.0309369
+0.0293666
+0.0277877
+0.0262178
+0.0247426
+0.0233797
+0.0221369
+0.020641
+0.0186736
+0.0167616
+0.0149264
+0.0131656
+0.011337
+0.00966017
+0.00771279
+0.00571143
+0.00388203
+0.00229205
+0.000763374
+-0.000742607
+-0.00215439
+-0.00163642
+8.89697e-05
+0.00157444
+0.0030866
+0.0046253
+0.00634895
+0.00805198
+0.00982885
+0.0117195
+0.0133265
+0.0150431
+0.0168638
+0.0185912
+0.020096
+0.0217179
+0.0234283
+0.0250785
+0.0268063
+0.028502
+0.0302595
+0.0320704
+0.0330101
+0.0332384
+0.0335575
+0.03394
+0.0344463
+0.0348769
+0.0352527
+0.0357537
+0.0363799
+0.037125
+0.037982
+0.0389435
+0.0398956
+0.0404829
+0.0408745
+0.0412705
+0.0417777
+0.0423923
+0.0431095
+0.0439244
+0.0448316
+0.0458257
+0.0469011
+0.0502922
+0.0487941
+0.0473499
+0.0459648
+0.0446443
+0.0433914
+0.0422073
+0.0410986
+0.0400747
+0.0391118
+0.0382374
+0.0374709
+0.0368163
+0.036275
+0.0358578
+0.0355315
+0.0353374
+0.0352785
+0.0353556
+0.0355676
+0.0358926
+0.0363372
+0.0365848
+0.0366085
+0.0367084
+0.0369152
+0.037196
+0.0375616
+0.0376141
+0.0370019
+0.036496
+0.0361161
+0.0358663
+0.0355048
+0.033863
+0.0322863
+0.0307849
+0.0292121
+0.0277159
+0.0263172
+0.0247195
+0.0226887
+0.020684
+0.0187211
+0.0168145
+0.0149661
+0.0130223
+0.0111703
+0.00927325
+0.00720974
+0.00517049
+0.00306922
+0.00113117
+-0.000589871
+-0.00196431
+-0.00344444
+-0.00251667
+-0.0011438
+0.000176152
+0.0017657
+0.00363433
+0.00545439
+0.00717869
+0.00879525
+0.0103372
+0.012078
+0.0139401
+0.0158863
+0.017889
+0.019768
+0.0214148
+0.0230776
+0.0247136
+0.0263864
+0.028107
+0.0298877
+0.0317199
+0.03311
+0.0332258
+0.0334612
+0.033833
+0.0341817
+0.0344258
+0.034801
+0.0353084
+0.0359424
+0.0366964
+0.0375632
+0.0385351
+0.0395886
+0.0404775
+0.0407597
+0.0411569
+0.0416655
+0.0422817
+0.0430008
+0.0438177
+0.0447271
+0.0457234
+0.0468011
+0.0499474
+0.0484577
+0.0470179
+0.0456228
+0.0442921
+0.0430289
+0.0418346
+0.0407231
+0.0397015
+0.0387506
+0.037868
+0.0370938
+0.0364351
+0.0358923
+0.0354725
+0.0351842
+0.0349976
+0.0349382
+0.0350159
+0.03523
+0.0355581
+0.0360068
+0.0365597
+0.0368284
+0.0369387
+0.037167
+0.0374974
+0.0378783
+0.0374806
+0.0369015
+0.0363973
+0.0360164
+0.0357659
+0.0356484
+0.0352366
+0.0335983
+0.0320074
+0.030491
+0.0290318
+0.0269785
+0.0249486
+0.022938
+0.020955
+0.0190127
+0.0171282
+0.015145
+0.0132276
+0.0114089
+0.00936833
+0.00729741
+0.00513955
+0.00297736
+0.000901018
+-0.00119015
+-0.00313991
+-0.00478277
+-0.00414799
+-0.0024275
+-0.000636461
+0.000990762
+0.00268175
+0.00426687
+0.00589468
+0.00743742
+0.00919845
+0.0111113
+0.0131114
+0.0151643
+0.0172511
+0.0193568
+0.0211698
+0.0228402
+0.0244529
+0.0261186
+0.0278541
+0.0296501
+0.031496
+0.0331456
+0.0332334
+0.0334646
+0.0337575
+0.0338632
+0.0341042
+0.0344829
+0.0349949
+0.0356344
+0.0363948
+0.0372686
+0.0382316
+0.0392856
+0.040431
+0.0407626
+0.0411597
+0.0416683
+0.0422844
+0.0430035
+0.0438203
+0.0447297
+0.0457259
+0.0468036
+0.0496734
+0.0481753
+0.0467319
+0.0453484
+0.0440305
+0.0427624
+0.0415654
+0.0404517
+0.0394269
+0.0384883
+0.0376129
+0.0368333
+0.0361699
+0.035629
+0.0352163
+0.0349272
+0.0347727
+0.0347329
+0.0348111
+0.0350265
+0.0353565
+0.0358077
+0.0363636
+0.0369981
+0.0372962
+0.0375226
+0.0378743
+0.037837
+0.0372095
+0.0367022
+0.0363195
+0.0360392
+0.0357995
+0.0356822
+0.0356784
+0.0348539
+0.033323
+0.0314392
+0.0293908
+0.0273641
+0.0253493
+0.0233615
+0.0214134
+0.0195167
+0.0175414
+0.0156109
+0.0135153
+0.0113997
+0.00925014
+0.00706838
+0.0048934
+0.00273215
+0.000611663
+-0.00146111
+-0.00359367
+-0.00574959
+-0.00532804
+-0.00353941
+-0.0018898
+-0.000379566
+0.00133191
+0.0031241
+0.00477626
+0.00652229
+0.00847299
+0.0105074
+0.0125898
+0.0147037
+0.0168372
+0.0189838
+0.021125
+0.0227728
+0.0243534
+0.0260223
+0.0277639
+0.0295654
+0.0314163
+0.0330165
+0.033381
+0.0335165
+0.033557
+0.0336579
+0.0339003
+0.0342812
+0.0347962
+0.0354393
+0.0362038
+0.0370821
+0.0380441
+0.0391032
+0.0402537
+0.040883
+0.041279
+0.0417861
+0.0424005
+0.0431176
+0.0439324
+0.0448394
+0.0458333
+0.0469085
+0.0494949
+0.0479912
+0.0465421
+0.0451528
+0.043829
+0.0425769
+0.041388
+0.0402754
+0.0392506
+0.0383062
+0.0374378
+0.0366799
+0.0360257
+0.0354899
+0.0350789
+0.0347978
+0.0346515
+0.0346346
+0.0347209
+0.0349368
+0.0352876
+0.035742
+0.0362989
+0.0369774
+0.0376304
+0.0380011
+0.0383487
+0.0376322
+0.0370012
+0.036491
+0.0361068
+0.0358446
+0.035671
+0.0356315
+0.0357265
+0.0359337
+0.0339588
+0.0319217
+0.0299006
+0.027893
+0.0259152
+0.0239743
+0.0219474
+0.0198936
+0.0177757
+0.0156463
+0.0134581
+0.0112708
+0.00908516
+0.00690274
+0.00472797
+0.00258027
+0.000489759
+-0.00169608
+-0.0038622
+-0.00603945
+-0.00651384
+-0.00463617
+-0.00277877
+-0.000903615
+0.000824833
+0.00244548
+0.00426094
+0.00616531
+0.0081978
+0.0102812
+0.0124016
+0.0145429
+0.016697
+0.0187994
+0.0208377
+0.0228733
+0.0244472
+0.0261102
+0.0278463
+0.0294906
+0.0307761
+0.0321467
+0.0335057
+0.0334033
+0.0334445
+0.033588
+0.0338309
+0.0342126
+0.0347286
+0.0353729
+0.0361388
+0.0370186
+0.0379822
+0.039043
+0.0401953
+0.04112
+0.0415136
+0.042018
+0.0426291
+0.0433424
+0.044153
+0.0450556
+0.0460448
+0.0471152
+0.049413
+0.0479068
+0.046455
+0.045063
+0.0437365
+0.0424816
+0.0413049
+0.0401978
+0.0391741
+0.0382485
+0.0373792
+0.0366201
+0.0359785
+0.0354542
+0.0350468
+0.0347681
+0.0346234
+0.034617
+0.0347403
+0.0349803
+0.0353306
+0.0357924
+0.0363663
+0.0370436
+0.0378358
+0.0384905
+0.0382967
+0.0375492
+0.0369168
+0.0364054
+0.0360202
+0.0357653
+0.0356094
+0.0355698
+0.035665
+0.0358939
+0.0345427
+0.0325266
+0.0305086
+0.0284462
+0.0263764
+0.024231
+0.0220945
+0.0199673
+0.017792
+0.015617
+0.0134471
+0.0112848
+0.00910251
+0.00692548
+0.00476069
+0.00261524
+0.000473396
+-0.00171288
+-0.00387604
+-0.00605759
+-0.00687748
+-0.00514127
+-0.00325641
+-0.00141254
+0.000451078
+0.0023525
+0.0043277
+0.00636246
+0.00839257
+0.0104403
+0.0124477
+0.0144265
+0.016459
+0.0185277
+0.0205974
+0.0226554
+0.0245533
+0.0259367
+0.0273894
+0.0286423
+0.0299664
+0.0313876
+0.0328713
+0.033421
+0.0334621
+0.0336213
+0.0339031
+0.0342841
+0.034799
+0.0354421
+0.0362065
+0.0370847
+0.0380466
+0.0391056
+0.0402561
+0.0414714
+0.0418618
+0.042362
+0.0429682
+0.043676
+0.0444805
+0.0453766
+0.046359
+0.0474199
+0.0494052
+0.0479059
+0.0464617
+0.0450776
+0.0437518
+0.0424973
+0.041321
+0.0402265
+0.0392035
+0.0382787
+0.0374488
+0.0366911
+0.0360508
+0.0355343
+0.0351462
+0.0348693
+0.034725
+0.0347186
+0.0348419
+0.0350924
+0.0354767
+0.0359685
+0.0365459
+0.03722
+0.0380085
+0.0389031
+0.0383038
+0.0375811
+0.0369622
+0.0364515
+0.0360668
+0.0358122
+0.0356825
+0.035643
+0.035738
+0.0359664
+0.035061
+0.0329922
+0.0308713
+0.028725
+0.026586
+0.0244407
+0.0222686
+0.0201004
+0.0179378
+0.0157829
+0.0136395
+0.0114807
+0.00929563
+0.00711395
+0.00494027
+0.0027911
+0.00065944
+-0.00148102
+-0.00356604
+-0.00507199
+-0.00534017
+-0.00440353
+-0.00307459
+-0.00127014
+0.000449249
+0.00231335
+0.00426082
+0.00629919
+0.00841252
+0.0102633
+0.0122269
+0.0142548
+0.0162883
+0.0183579
+0.0204526
+0.0224949
+0.0238167
+0.0252405
+0.0266063
+0.0279138
+0.0292708
+0.0307243
+0.0322198
+0.0333354
+0.0333766
+0.0335385
+0.0338366
+0.0342725
+0.03483
+0.0355087
+0.0362973
+0.0371983
+0.0382038
+0.0392905
+0.0404231
+0.0416302
+0.0423206
+0.0428155
+0.0434153
+0.0441159
+0.0449126
+0.0458002
+0.0467023
+0.0476801
+0.0494798
+0.0479829
+0.046541
+0.0451594
+0.0438361
+0.0425841
+0.0414102
+0.0403213
+0.0393244
+0.0384233
+0.0376071
+0.0368924
+0.0362556
+0.035742
+0.0353569
+0.035094
+0.0349507
+0.0349444
+0.0350751
+0.0353291
+0.0357109
+0.0362213
+0.0368489
+0.0375175
+0.0382999
+0.0391892
+0.0384
+0.0376792
+0.037074
+0.0365902
+0.0362325
+0.0359926
+0.0358716
+0.0358501
+0.0359446
+0.0361717
+0.0354687
+0.0333305
+0.0311996
+0.0290494
+0.0268926
+0.0247243
+0.0225456
+0.0203694
+0.0181967
+0.016029
+0.0138684
+0.011719
+0.00958382
+0.00743164
+0.00527468
+0.00316396
+0.00121422
+-0.000602469
+-0.00240852
+-0.0031623
+-0.00353157
+-0.00309559
+-0.00203876
+-0.000616752
+0.00095596
+0.0027264
+0.00463797
+0.0066076
+0.00842624
+0.0103895
+0.0123498
+0.0143188
+0.0163442
+0.0184036
+0.0204749
+0.0219087
+0.0232638
+0.0246661
+0.0259729
+0.0273418
+0.0287259
+0.0301519
+0.0315992
+0.0330625
+0.0333203
+0.033505
+0.0337941
+0.0342185
+0.034776
+0.0354554
+0.0362452
+0.0371474
+0.0381543
+0.0392347
+0.0404045
+0.0416567
+0.0428866
+0.043375
+0.04396
+0.0445844
+0.0452909
+0.0460908
+0.0469793
+0.0479515
+0.0496511
+0.0481595
+0.0467231
+0.045347
+0.0440293
+0.042783
+0.0416148
+0.0405313
+0.0395397
+0.0386469
+0.03786
+0.0371525
+0.0365449
+0.0360354
+0.0356535
+0.0354032
+0.0352875
+0.0353048
+0.0354342
+0.0356977
+0.0360767
+0.0365821
+0.0372097
+0.0379393
+0.0387132
+0.0394308
+0.0386112
+0.0379006
+0.0373023
+0.0368215
+0.0364661
+0.0362399
+0.0361453
+0.0361366
+0.0362559
+0.0365065
+0.0357732
+0.0336136
+0.0314583
+0.0293043
+0.0271406
+0.0249817
+0.0228288
+0.0206838
+0.0185496
+0.0164302
+0.0143038
+0.0121818
+0.0100892
+0.00804904
+0.00608592
+0.00419476
+0.00228017
+0.000655751
+-0.00050202
+-0.00144209
+-0.00173666
+-0.00153269
+-0.000863289
+0.000226463
+0.0018245
+0.00346939
+0.00526049
+0.00704218
+0.00879998
+0.0107003
+0.0126946
+0.0145402
+0.0163694
+0.0182782
+0.0202442
+0.0215298
+0.022873
+0.0241708
+0.025473
+0.0268491
+0.028244
+0.0296285
+0.0311002
+0.032567
+0.0334078
+0.0335921
+0.0338804
+0.0343025
+0.0348442
+0.0355126
+0.0363011
+0.037202
+0.0382071
+0.0392854
+0.0404538
+0.0417045
+0.0430305
+0.0438741
+0.0443781
+0.0449724
+0.0456322
+0.0463862
+0.0472298
+0.0481567
+0.0495031
+0.0484347
+0.0470059
+0.0456339
+0.0443276
+0.0430922
+0.0419329
+0.0408579
+0.0398744
+0.0389893
+0.0382094
+0.0375087
+0.0369077
+0.0364288
+0.0360758
+0.0358285
+0.0357141
+0.0357339
+0.0358877
+0.0361699
+0.0365597
+0.037069
+0.037688
+0.0384145
+0.0392446
+0.0397431
+0.03893
+0.0382254
+0.0376352
+0.0371588
+0.0368066
+0.0365825
+0.0364887
+0.0365263
+0.0366459
+0.0368939
+0.0360914
+0.0339521
+0.0318037
+0.0296606
+0.027525
+0.0253987
+0.0232844
+0.0211853
+0.0190942
+0.0170163
+0.0149584
+0.0129442
+0.0109806
+0.00903501
+0.00707143
+0.00528276
+0.00372123
+0.00238307
+0.00108476
+0.000279722
+9.10679e-05
+0.000187915
+0.000855512
+0.00165895
+0.00272852
+0.00417864
+0.00588282
+0.00760221
+0.00934763
+0.0111835
+0.0127753
+0.0144965
+0.0163305
+0.0182434
+0.0200817
+0.0212959
+0.0226006
+0.023835
+0.025153
+0.0264773
+0.0278638
+0.0292603
+0.0307022
+0.0320731
+0.0333633
+0.0338211
+0.0340947
+0.0345004
+0.0350386
+0.0357033
+0.0364877
+0.0373841
+0.0383844
+0.0394579
+0.0406213
+0.041867
+0.0431881
+0.044274
+0.04473
+0.0452855
+0.0459004
+0.0466103
+0.0474108
+0.0482975
+0.0493031
+0.0487916
+0.0473698
+0.0460085
+0.0447131
+0.0434895
+0.0423439
+0.0412824
+0.0403092
+0.0394339
+0.038663
+0.0379882
+0.0373949
+0.0369223
+0.036575
+0.0363566
+0.0362553
+0.0362748
+0.0364263
+0.0367082
+0.0371012
+0.0376092
+0.0382361
+0.0389762
+0.0398015
+0.0401725
+0.0393684
+0.0386707
+0.0380813
+0.0376103
+0.0372624
+0.037041
+0.0369484
+0.0369856
+0.0371392
+0.037394
+0.0365285
+0.0344007
+0.0322813
+0.0301722
+0.0280755
+0.025991
+0.0239144
+0.0218591
+0.0198329
+0.0178412
+0.0158776
+0.0138978
+0.0119301
+0.0100549
+0.00832296
+0.00679316
+0.00530436
+0.00387662
+0.0028175
+0.00213825
+0.00190864
+0.00201568
+0.00260124
+0.00329585
+0.00409109
+0.00515717
+0.0064845
+0.00807252
+0.00975551
+0.0114092
+0.0130429
+0.0147434
+0.0165595
+0.0184131
+0.0200332
+0.0212299
+0.0224725
+0.0236644
+0.0249562
+0.0262834
+0.0275867
+0.0286735
+0.0298
+0.0310302
+0.0323621
+0.0337836
+0.0343959
+0.0348147
+0.0353481
+0.0360071
+0.036785
+0.0376744
+0.0386675
+0.0397467
+0.0409019
+0.0421394
+0.0434521
+0.0446163
+0.0450277
+0.0455408
+0.0461523
+0.0468161
+0.0475545
+0.0483301
+0.0491836
+0.0486721
+0.0478312
+0.0464833
+0.0452015
+0.0439903
+0.042855
+0.0418038
+0.040843
+0.0399794
+0.0392192
+0.0385575
+0.0379874
+0.0375222
+0.0371805
+0.0369656
+0.0368799
+0.0369239
+0.0370742
+0.0373511
+0.0377533
+0.0382615
+0.0388779
+0.039606
+0.0404399
+0.0406717
+0.0398831
+0.0391896
+0.0386081
+0.0381437
+0.0378008
+0.0375827
+0.0374915
+0.0375281
+0.0376766
+0.0379423
+0.0370748
+0.0349802
+0.032898
+0.0308233
+0.0287611
+0.0267194
+0.0247033
+0.0227195
+0.0207467
+0.0187574
+0.0168102
+0.014907
+0.0130918
+0.0113889
+0.00980524
+0.00831136
+0.00681203
+0.00552589
+0.00463022
+0.00398606
+0.00375264
+0.00364732
+0.00403628
+0.00484443
+0.00562185
+0.00649431
+0.00760381
+0.00898352
+0.0103749
+0.0118491
+0.0134119
+0.0150898
+0.0166846
+0.0183883
+0.0200163
+0.0213106
+0.0224149
+0.0234387
+0.0246155
+0.0254778
+0.0264715
+0.0276037
+0.0288366
+0.0301089
+0.0314798
+0.0329394
+0.0344765
+0.0352133
+0.0357569
+0.0364086
+0.037178
+0.0380582
+0.0390416
+0.0401206
+0.0412782
+0.0425047
+0.0438065
+0.0449814
+0.0453278
+0.0457765
+0.04625
+0.0467366
+0.0473197
+0.0479834
+0.0491614
+0.0486497
+0.0482321
+0.0470538
+0.045785
+0.0445878
+0.0434681
+0.042432
+0.0414858
+0.0406358
+0.0398849
+0.0392217
+0.0386714
+0.0382287
+0.0378934
+0.0376826
+0.0375985
+0.037642
+0.0378124
+0.0380876
+0.038482
+0.0389957
+0.039624
+0.0403451
+0.0411639
+0.041257
+0.0404876
+0.0398196
+0.0392474
+0.0387907
+0.0384535
+0.0382391
+0.0381495
+0.0381855
+0.0383318
+0.0385931
+0.0377383
+0.035673
+0.0336229
+0.0315915
+0.029583
+0.0276022
+0.025612
+0.0236323
+0.0216805
+0.0197785
+0.017925
+0.0161212
+0.0143926
+0.0127668
+0.0112573
+0.00973953
+0.0084151
+0.00737309
+0.00655893
+0.00600018
+0.0055173
+0.00534127
+0.0055475
+0.00614585
+0.00702338
+0.00806961
+0.00901702
+0.010111
+0.0112185
+0.0124753
+0.0139432
+0.015384
+0.0169302
+0.0183644
+0.018884
+0.019605
+0.0205355
+0.0216485
+0.0229173
+0.0242964
+0.0254945
+0.0266428
+0.0279151
+0.0292961
+0.0307286
+0.0322222
+0.0337887
+0.0353459
+0.0362777
+0.0369358
+0.0376945
+0.0385628
+0.0395337
+0.0405996
+0.0417534
+0.0429788
+0.0442666
+0.0451477
+0.0453296
+0.045616
+0.0460051
+0.0464942
+0.0470677
+0.0477279
+0.0492369
+0.0487259
+0.048309
+0.047709
+0.0464581
+0.0452787
+0.0441765
+0.0431575
+0.0422276
+0.0413928
+0.0406456
+0.039995
+0.0394555
+0.0390316
+0.0387172
+0.038511
+0.0384287
+0.0384712
+0.0386381
+0.0389277
+0.0393183
+0.0398212
+0.0404366
+0.0411597
+0.0419847
+0.0419486
+0.0411922
+0.0405367
+0.0399747
+0.0395264
+0.0391956
+0.0389853
+0.0388973
+0.0389327
+0.039091
+0.0393551
+0.0384939
+0.0364707
+0.034468
+0.0324896
+0.0304879
+0.028513
+0.0265612
+0.0246464
+0.0227427
+0.0208936
+0.0190989
+0.0173948
+0.0157734
+0.0142465
+0.0127333
+0.0113738
+0.0101894
+0.0092052
+0.00855846
+0.00787323
+0.00724891
+0.00692319
+0.00703408
+0.00745041
+0.00819588
+0.00929033
+0.0104486
+0.0113502
+0.0122453
+0.0133984
+0.014591
+0.0157951
+0.0159299
+0.0163104
+0.0168964
+0.0176986
+0.018724
+0.0199384
+0.0212911
+0.0227576
+0.0243332
+0.025829
+0.0271394
+0.028558
+0.0300693
+0.0316151
+0.0331782
+0.0347735
+0.0364019
+0.0375516
+0.0383188
+0.0391733
+0.0401294
+0.0411799
+0.0423178
+0.0435363
+0.0448288
+0.0450035
+0.0451859
+0.0454733
+0.0458636
+0.0463414
+0.0469097
+0.0475721
+0.0494094
+0.0489003
+0.0484848
+0.0481656
+0.0472146
+0.0460545
+0.0449714
+0.0439707
+0.0430584
+0.04224
+0.0415081
+0.0408713
+0.0403435
+0.039929
+0.0396315
+0.0394438
+0.0393635
+0.039405
+0.0395679
+0.0398507
+0.0402471
+0.0407386
+0.0413405
+0.0420481
+0.0428561
+0.0427415
+0.0419993
+0.0413566
+0.040806
+0.0403669
+0.040043
+0.0398371
+0.0397511
+0.0397857
+0.0399406
+0.0398325
+0.0381847
+0.0365179
+0.0349013
+0.0333503
+0.031431
+0.0294763
+0.0275566
+0.0256714
+0.0238386
+0.0220711
+0.0203859
+0.0187769
+0.0172742
+0.0157645
+0.0143708
+0.0131193
+0.0120278
+0.0111371
+0.0103624
+0.00948337
+0.00879582
+0.00848237
+0.00853649
+0.0088325
+0.0095281
+0.0105438
+0.0118194
+0.0127414
+0.0135033
+0.0142214
+0.0138264
+0.0136834
+0.0138398
+0.0142761
+0.0149552
+0.0158559
+0.016993
+0.0183149
+0.0197611
+0.0213331
+0.0230038
+0.0247386
+0.0263639
+0.0279642
+0.0294982
+0.0310866
+0.0327026
+0.0343077
+0.0359701
+0.0376742
+0.0389748
+0.0398386
+0.0408018
+0.0418466
+0.0429669
+0.0441675
+0.0448714
+0.0449477
+0.0451304
+0.0454181
+0.0458088
+0.0462847
+0.0468536
+0.0475168
+0.049678
+0.0491717
+0.0487586
+0.0484411
+0.0480591
+0.0469199
+0.0458572
+0.0448763
+0.0439827
+0.0431819
+0.0424621
+0.0418398
+0.0413243
+0.0409198
+0.0406296
+0.0404516
+0.0403732
+0.0404137
+0.0405726
+0.0408485
+0.0412391
+0.0417366
+0.0423244
+0.0430158
+0.0438059
+0.04363
+0.0429032
+0.0422743
+0.0417358
+0.0413066
+0.0409901
+0.040789
+0.040705
+0.0407388
+0.0406175
+0.0388484
+0.0371081
+0.0354157
+0.0337612
+0.0321698
+0.0306372
+0.0291886
+0.0278219
+0.0265652
+0.0250662
+0.0233908
+0.021777
+0.0202691
+0.0188066
+0.0173808
+0.0161017
+0.0149494
+0.013906
+0.0128425
+0.0117188
+0.0108645
+0.0103353
+0.0100224
+0.0099796
+0.01022
+0.0107884
+0.0117118
+0.0128759
+0.0140157
+0.012967
+0.0122063
+0.01175
+0.011584
+0.0117778
+0.0122956
+0.0130787
+0.0140998
+0.0153636
+0.0167727
+0.0183137
+0.0199756
+0.0217313
+0.0234939
+0.0251877
+0.0269437
+0.0287531
+0.0306111
+0.0323249
+0.0339634
+0.035644
+0.0373762
+0.0391386
+0.0405851
+0.041531
+0.0425688
+0.0436812
+0.0448627
+0.0449198
+0.044996
+0.0451785
+0.0454658
+0.0458562
+0.0463316
+0.0468999
+0.0475625
+0.0500412
+0.0495386
+0.0491286
+0.0488135
+0.0485953
+0.04787
+0.0468288
+0.0458687
+0.0449948
+0.0442119
+0.0435043
+0.0428971
+0.0423946
+0.0420004
+0.0417177
+0.0415487
+0.0414735
+0.0415129
+0.0416676
+0.0419363
+0.0423169
+0.0428063
+0.0433966
+0.0440712
+0.0448428
+0.0445965
+0.0438787
+0.0432601
+0.0427449
+0.0423328
+0.0420241
+0.0418279
+0.041746
+0.0415899
+0.0397432
+0.0379175
+0.0361324
+0.0343942
+0.0326972
+0.031052
+0.0294778
+0.0279795
+0.0265497
+0.0252293
+0.0240364
+0.0229873
+0.0220938
+0.0213882
+0.0204167
+0.0191113
+0.0179044
+0.0167899
+0.0154049
+0.0141411
+0.0131006
+0.0122733
+0.0116759
+0.0113157
+0.0112949
+0.0115542
+0.012069
+0.012905
+0.013659
+0.0122764
+0.0111263
+0.0102514
+0.00971626
+0.00947379
+0.00970569
+0.0103146
+0.0112836
+0.0124118
+0.0137676
+0.0152983
+0.0169726
+0.0187491
+0.0205319
+0.0223814
+0.0241533
+0.0259793
+0.0278514
+0.0297658
+0.0317159
+0.0336902
+0.0354484
+0.0371897
+0.0389605
+0.0407324
+0.0423274
+0.0433568
+0.0444599
+0.0451051
+0.0450747
+0.0451507
+0.0453325
+0.0456189
+0.046008
+0.0464818
+0.0470483
+0.0477088
+0.0504314
+0.0499699
+0.0495648
+0.0492526
+0.0490363
+0.0488997
+0.047881
+0.0469424
+0.0460889
+0.0453198
+0.0446299
+0.0440382
+0.0435488
+0.0431651
+0.0428901
+0.0427258
+0.042658
+0.0426963
+0.0428467
+0.0431081
+0.0434784
+0.0439549
+0.0445335
+0.0451993
+0.04596
+0.0455781
+0.044876
+0.0442713
+0.043768
+0.043363
+0.0430616
+0.0428703
+0.0427603
+0.0408539
+0.0389572
+0.0370928
+0.035266
+0.0334828
+0.0317373
+0.0300471
+0.0284224
+0.0268605
+0.0253862
+0.0240068
+0.0227499
+0.0216422
+0.0206856
+0.0199249
+0.0193831
+0.0190582
+0.0189789
+0.0180979
+0.0167524
+0.0155588
+0.014476
+0.0136013
+0.0129305
+0.0126081
+0.0125719
+0.0128322
+0.0133718
+0.0139015
+0.0122001
+0.0106656
+0.00936279
+0.00834218
+0.00771643
+0.00738046
+0.00766047
+0.00839789
+0.00954303
+0.010815
+0.0123239
+0.0140112
+0.0157959
+0.0176093
+0.0194967
+0.0214356
+0.0232796
+0.0251691
+0.0270938
+0.0290464
+0.0310309
+0.0330414
+0.0346991
+0.0363538
+0.0380627
+0.0398188
+0.0416105
+0.0434375
+0.0452968
+0.0452462
+0.045219
+0.0452947
+0.045476
+0.0457615
+0.0461494
+0.046637
+0.0472213
+0.0478988
+0.0509049
+0.0504477
+0.0500823
+0.0497747
+0.0495607
+0.0494429
+0.0490086
+0.048092
+0.0472593
+0.0465033
+0.0458312
+0.0452552
+0.0447791
+0.0444061
+0.0441388
+0.0439791
+0.0439199
+0.0439571
+0.0441032
+0.0443572
+0.0447171
+0.0451805
+0.0457436
+0.0463921
+0.0471335
+0.046642
+0.0459562
+0.0453659
+0.0448749
+0.0444773
+0.0441835
+0.043997
+0.0421635
+0.0402092
+0.0382805
+0.0363815
+0.034517
+0.032693
+0.0308934
+0.0291464
+0.0274589
+0.0258335
+0.024297
+0.0228674
+0.0215579
+0.0203862
+0.0193812
+0.0185671
+0.0179844
+0.017638
+0.0175523
+0.0177386
+0.0180802
+0.0168539
+0.0157581
+0.0148629
+0.0142208
+0.0138615
+0.0138103
+0.0140704
+0.0144994
+0.0126524
+0.0109002
+0.00919971
+0.0076629
+0.00647132
+0.00575963
+0.0053582
+0.00568324
+0.0066323
+0.00794415
+0.00942951
+0.0111244
+0.0129109
+0.0147536
+0.0166807
+0.0186622
+0.0206235
+0.0225701
+0.0245021
+0.0264646
+0.0284605
+0.0301214
+0.0317123
+0.0333714
+0.0350888
+0.0368539
+0.0386575
+0.0404992
+0.0423741
+0.0442781
+0.0454682
+0.0454412
+0.0455165
+0.0456969
+0.045981
+0.046367
+0.0468524
+0.0474341
+0.0481086
+0.0514674
+0.0510153
+0.0506539
+0.0503853
+0.0501753
+0.050059
+0.0500384
+0.0493005
+0.0484877
+0.0477446
+0.0470902
+0.0465298
+0.0460669
+0.0457044
+0.0454447
+0.0452897
+0.0452403
+0.0452858
+0.0454277
+0.0456742
+0.0460239
+0.0464743
+0.0470225
+0.0476558
+0.0483779
+0.0477828
+0.0471135
+0.0465379
+0.0460581
+0.0456696
+0.0453835
+0.043654
+0.0416545
+0.0396751
+0.0377191
+0.0357903
+0.0338899
+0.032007
+0.0301656
+0.0283739
+0.0266359
+0.0249569
+0.0233629
+0.0218724
+0.0204994
+0.0192633
+0.0182078
+0.0173658
+0.0167304
+0.016349
+0.0162565
+0.0164577
+0.0169316
+0.0176238
+0.0170058
+0.0161798
+0.0155919
+0.015265
+0.0152362
+0.0154723
+0.0136009
+0.0116467
+0.00975387
+0.00795322
+0.00621861
+0.00474704
+0.00382847
+0.00343527
+0.00387321
+0.00511417
+0.00666721
+0.0083897
+0.0101521
+0.0120186
+0.0139794
+0.0159776
+0.0179591
+0.0199842
+0.0220377
+0.0240053
+0.0256448
+0.0271613
+0.0287492
+0.0304121
+0.0321383
+0.0339112
+0.035729
+0.0375865
+0.0394782
+0.0413995
+0.0433463
+0.0453153
+0.0457672
+0.045842
+0.0460211
+0.0463032
+0.0466866
+0.0471687
+0.0477465
+0.0484167
+0.052116
+0.0516695
+0.0513128
+0.0510476
+0.0508755
+0.0507622
+0.0507419
+0.050568
+0.0497759
+0.0490524
+0.0484157
+0.0478708
+0.047421
+0.0470689
+0.0468168
+0.0466663
+0.0466183
+0.0466733
+0.0468145
+0.0470539
+0.0473933
+0.0478309
+0.0483637
+0.0489849
+0.0496877
+0.0489949
+0.0483425
+0.0477816
+0.047312
+0.0469339
+0.0452954
+0.0432726
+0.0412519
+0.0392473
+0.0372637
+0.0353045
+0.0333717
+0.0314569
+0.029577
+0.0277427
+0.0259638
+0.0242472
+0.0226032
+0.0210549
+0.0196102
+0.0183143
+0.0172006
+0.0163067
+0.0156245
+0.0152155
+0.0151161
+0.0153183
+0.015813
+0.0165808
+0.0175625
+0.0176709
+0.0171171
+0.0167885
+0.0167184
+0.0149273
+0.012826
+0.0107497
+0.00870804
+0.00675844
+0.00493605
+0.0033419
+0.00221953
+0.00182012
+0.00249376
+0.00385112
+0.00563968
+0.00749181
+0.00937582
+0.0113522
+0.0133895
+0.0154039
+0.0174516
+0.0195302
+0.0213287
+0.0227551
+0.0242359
+0.0258178
+0.0274834
+0.0292153
+0.0309988
+0.0328317
+0.034706
+0.0366155
+0.0385549
+0.0405199
+0.042507
+0.0445132
+0.0461949
+0.046269
+0.0464465
+0.0467261
+0.047106
+0.0475838
+0.0481567
+0.0488212
+0.0528475
+0.0524073
+0.0520556
+0.0517942
+0.0516246
+0.0515476
+0.0515289
+0.051602
+0.0511256
+0.0504215
+0.0498023
+0.0492727
+0.0488358
+0.048494
+0.0482494
+0.0481033
+0.0480568
+0.0481101
+0.0482609
+0.0484933
+0.0488227
+0.0492475
+0.0497652
+0.050373
+0.0509953
+0.0502734
+0.0496377
+0.0490917
+0.0486315
+0.0470648
+0.045015
+0.042979
+0.0409438
+0.0389233
+0.0369223
+0.0349374
+0.032965
+0.0310218
+0.0291139
+0.0272484
+0.0254349
+0.0236798
+0.021991
+0.0203785
+0.0188821
+0.0175324
+0.0163656
+0.0154069
+0.0146713
+0.014238
+0.0141348
+0.0143392
+0.0148665
+0.0156817
+0.0167163
+0.0179597
+0.0185615
+0.018266
+0.0166857
+0.0145085
+0.0123361
+0.0101714
+0.00802101
+0.00590027
+0.00382614
+0.00187596
+0.000274642
+0.000500256
+0.00149608
+0.00313914
+0.00506237
+0.00699097
+0.00897936
+0.0110138
+0.013076
+0.0151174
+0.0170247
+0.0185238
+0.019884
+0.0213574
+0.0229286
+0.0245948
+0.0263304
+0.0281262
+0.0299746
+0.0318663
+0.0337943
+0.0357525
+0.0377363
+0.0397418
+0.0417659
+0.043806
+0.0458601
+0.0467948
+0.0469703
+0.0472468
+0.0476226
+0.0480953
+0.0486621
+0.0493198
+0.0536585
+0.053225
+0.0528787
+0.0526215
+0.0524545
+0.0523787
+0.0523945
+0.0524677
+0.0525321
+0.051847
+0.051245
+0.0507306
+0.0503063
+0.0499746
+0.0497372
+0.0495955
+0.0495504
+0.0496021
+0.0497503
+0.0499872
+0.0503069
+0.0507193
+0.0512221
+0.0518128
+0.0523164
+0.0516131
+0.050988
+0.0502629
+0.0487551
+0.0468974
+0.04484
+0.0427957
+0.0407509
+0.0387153
+0.036695
+0.0346849
+0.0326972
+0.0307372
+0.0288102
+0.0269146
+0.025061
+0.0232661
+0.0215429
+0.0198935
+0.0183577
+0.0169658
+0.0157437
+0.0147467
+0.0139937
+0.0135388
+0.0134302
+0.0136445
+0.0141977
+0.0150491
+0.0161243
+0.0174101
+0.0188634
+0.0187709
+0.0165802
+0.0143896
+0.012199
+0.0100084
+0.00781777
+0.0056272
+0.00343669
+0.00124665
+-0.00090183
+-0.000133361
+0.00144627
+0.00311537
+0.00493889
+0.0068584
+0.00883651
+0.0108224
+0.0127972
+0.0145343
+0.0157954
+0.0170919
+0.0185284
+0.0200819
+0.0217455
+0.0234957
+0.0253067
+0.0271703
+0.0290795
+0.0310259
+0.033003
+0.0350055
+0.0370293
+0.0390711
+0.0411283
+0.0431935
+0.0452695
+0.0473414
+0.0475344
+0.0478271
+0.0482176
+0.0486999
+0.0492598
+0.0499096
+0.0545455
+0.0541191
+0.0537786
+0.0535257
+0.0533615
+0.0532871
+0.0533026
+0.053408
+0.0535575
+0.0533245
+0.0527393
+0.0522396
+0.0518277
+0.0515057
+0.0512755
+0.0511381
+0.0510943
+0.0511445
+0.0512882
+0.0515224
+0.0518327
+0.052233
+0.0527214
+0.0532954
+0.0536773
+0.0528197
+0.0512148
+0.0496441
+0.048117
+0.0466427
+0.0447716
+0.042713
+0.0406552
+0.0386121
+0.036586
+0.0345696
+0.0325738
+0.0305947
+0.0286443
+0.0267312
+0.0248578
+0.0230297
+0.0212702
+0.0195979
+0.0180369
+0.0166183
+0.0153678
+0.0143447
+0.0135925
+0.0131203
+0.0130049
+0.0132555
+0.0138178
+0.0146622
+0.0157679
+0.0170839
+0.0185627
+0.0188881
+0.0167307
+0.0145627
+0.0124027
+0.0102557
+0.00812983
+0.00602066
+0.00397435
+0.00208325
+0.00081538
+0.00115682
+0.00222258
+0.00366437
+0.00529104
+0.00709206
+0.00894286
+0.0107047
+0.0120996
+0.0132307
+0.0144254
+0.0158005
+0.0173217
+0.0189743
+0.020727
+0.0225563
+0.0244371
+0.0263622
+0.0283259
+0.0303208
+0.032341
+0.0343796
+0.0364309
+0.0384976
+0.0405773
+0.0426681
+0.0447685
+0.0468771
+0.0481687
+0.0484576
+0.048843
+0.0493229
+0.0498944
+0.0505544
+0.0555049
+0.0550859
+0.0547514
+0.054503
+0.0543418
+0.0542686
+0.0542839
+0.0543874
+0.0545682
+0.0547889
+0.0542786
+0.0537931
+0.0533932
+0.0530808
+0.0528573
+0.0527241
+0.0526816
+0.0527303
+0.0528697
+0.0530992
+0.0534005
+0.0537891
+0.0542635
+0.0548214
+0.0539715
+0.0523231
+0.0507024
+0.0491154
+0.0475712
+0.0460795
+0.0445802
+0.0427319
+0.0406724
+0.0386207
+0.0365769
+0.0345489
+0.0325421
+0.0305604
+0.0286093
+0.0266954
+0.0248156
+0.0229841
+0.0212209
+0.0195443
+0.0179787
+0.0165551
+0.0152995
+0.0142714
+0.0135152
+0.0130402
+0.012924
+0.0131762
+0.0137417
+0.0145905
+0.0157012
+0.0170224
+0.0185062
+0.0191823
+0.0170627
+0.0149635
+0.0128948
+0.010874
+0.00883461
+0.0068721
+0.005097
+0.00368947
+0.00294287
+0.00278103
+0.00351
+0.004765
+0.00619441
+0.00763924
+0.00887012
+0.0100071
+0.0109442
+0.0119675
+0.0132364
+0.0146968
+0.0163212
+0.0180656
+0.0198984
+0.0217974
+0.0237384
+0.0257159
+0.0277177
+0.0297444
+0.0317929
+0.0338592
+0.0359402
+0.0380336
+0.0401373
+0.0422499
+0.0443701
+0.0464968
+0.0486291
+0.0491776
+0.0495575
+0.0500305
+0.050594
+0.051245
+0.0565329
+0.0561216
+0.0557933
+0.0555495
+0.0553914
+0.0553196
+0.0553346
+0.0554361
+0.0556198
+0.0558596
+0.0558565
+0.0553849
+0.0549965
+0.0546932
+0.0544764
+0.0543471
+0.054306
+0.0543531
+0.0544884
+0.0547112
+0.0550108
+0.0553882
+0.055849
+0.055271
+0.0535751
+0.0519142
+0.0502804
+0.0486796
+0.0471211
+0.0456147
+0.0441491
+0.0425358
+0.0407756
+0.0387197
+0.0366793
+0.0346573
+0.0326571
+0.0306829
+0.0287401
+0.0268355
+0.0249663
+0.0231468
+0.0213969
+0.0197353
+0.0181861
+0.0167801
+0.0155427
+0.0145148
+0.0137567
+0.0133062
+0.0131923
+0.0134289
+0.013979
+0.0148353
+0.0159383
+0.0172414
+0.0187078
+0.0197094
+0.0176531
+0.0156334
+0.0136301
+0.0116799
+0.00981593
+0.00809858
+0.00663072
+0.00555527
+0.004838
+0.00461616
+0.00514424
+0.00603636
+0.00681337
+0.00769627
+0.00847747
+0.00913201
+0.00986101
+0.0109328
+0.0122939
+0.013854
+0.0155666
+0.0173869
+0.0192843
+0.0212265
+0.0231997
+0.025209
+0.0272462
+0.0293055
+0.0313827
+0.0334743
+0.0355779
+0.0376914
+0.0398131
+0.0419404
+0.0440728
+0.0462106
+0.0482741
+0.0499742
+0.050348
+0.0508137
+0.0513686
+0.0520099
+0.0576259
+0.0572224
+0.0569005
+0.0566615
+0.0565064
+0.0564361
+0.0564507
+0.0565503
+0.0567304
+0.0569655
+0.0572835
+0.0570164
+0.0566392
+0.0563448
+0.0561343
+0.0560089
+0.0559689
+0.0560147
+0.056146
+0.0563622
+0.0566601
+0.0570266
+0.0567102
+0.0549715
+0.053266
+0.0515951
+0.0499509
+0.0483392
+0.0467694
+0.0452513
+0.0437902
+0.0421898
+0.0406169
+0.0389399
+0.0369117
+0.0349032
+0.0329179
+0.0309603
+0.0290361
+0.0271399
+0.025287
+0.0234923
+0.0217703
+0.0201395
+0.018624
+0.0172505
+0.0160297
+0.0150307
+0.0142999
+0.0138671
+0.0137579
+0.0139849
+0.0145139
+0.0153404
+0.0164196
+0.0176926
+0.0191244
+0.0203858
+0.0183793
+0.0164158
+0.0145064
+0.0126797
+0.0109866
+0.00949258
+0.00824798
+0.00738452
+0.00678855
+0.00665053
+0.00654943
+0.0070042
+0.00730056
+0.00769063
+0.00790495
+0.00830434
+0.00909989
+0.0102499
+0.0116726
+0.0133055
+0.0150805
+0.016953
+0.0188727
+0.0208386
+0.0228453
+0.024881
+0.0269388
+0.0290159
+0.0311086
+0.0332139
+0.0353296
+0.03745
+0.0395754
+0.0417075
+0.0438454
+0.045888
+0.0479152
+0.0499562
+0.0512132
+0.051671
+0.0522168
+0.0528478
+0.0587802
+0.0583847
+0.0580692
+0.057835
+0.0576832
+0.0576143
+0.0576286
+0.0577261
+0.0578931
+0.0581329
+0.0584446
+0.0586843
+0.0583179
+0.058032
+0.0578277
+0.0577059
+0.0576672
+0.0577116
+0.057839
+0.0580489
+0.0583403
+0.0582695
+0.0565001
+0.0547579
+0.0530456
+0.0513676
+0.0497159
+0.0480963
+0.0465183
+0.0449917
+0.0435219
+0.0419556
+0.0403735
+0.0388429
+0.0372716
+0.0352836
+0.033321
+0.0313766
+0.0294644
+0.0275937
+0.0257735
+0.0240152
+0.0223335
+0.020747
+0.0192793
+0.0179561
+0.0167867
+0.0158354
+0.0151436
+0.014733
+0.0146303
+0.0148465
+0.0153458
+0.0161298
+0.0171593
+0.0183812
+0.0197632
+0.0212061
+0.0192852
+0.0174186
+0.0156251
+0.0139455
+0.0124262
+0.0111228
+0.0100494
+0.00919527
+0.00843351
+0.00797996
+0.00772183
+0.00764256
+0.00763522
+0.00734115
+0.00734248
+0.00778872
+0.00865898
+0.00991735
+0.0113854
+0.0130478
+0.01484
+0.0167181
+0.0186603
+0.0206407
+0.0226499
+0.0246888
+0.0267517
+0.0288334
+0.0309303
+0.0330393
+0.0351583
+0.0372855
+0.0394198
+0.0415599
+0.0435874
+0.0456117
+0.0476506
+0.0497024
+0.0517657
+0.0526056
+0.0531419
+0.053762
+0.0599923
+0.0596049
+0.0592959
+0.0590666
+0.0589179
+0.0588504
+0.0588541
+0.0589338
+0.0590947
+0.0593361
+0.0596562
+0.06004
+0.0600296
+0.0597519
+0.0595535
+0.0594353
+0.0593976
+0.0594408
+0.0595645
+0.0597683
+0.0599312
+0.0581347
+0.0563611
+0.0546177
+0.0529076
+0.0512328
+0.0495766
+0.0479523
+0.0463695
+0.0448378
+0.0433627
+0.0418348
+0.0402481
+0.0387124
+0.0372373
+0.0357826
+0.0338358
+0.0319206
+0.0300431
+0.0282108
+0.0264331
+0.0247218
+0.0230917
+0.021561
+0.0201527
+0.0188907
+0.0177829
+0.0168879
+0.0162409
+0.0158481
+0.0157527
+0.0159603
+0.0164297
+0.0171642
+0.0181351
+0.0192952
+0.0206161
+0.0220757
+0.020378
+0.0186119
+0.0169451
+0.0153634
+0.0139323
+0.0127129
+0.011489
+0.0105366
+0.00990525
+0.00930669
+0.0088246
+0.0084001
+0.00765719
+0.00714915
+0.00719381
+0.00770287
+0.00860559
+0.00977994
+0.0112622
+0.0129165
+0.0147084
+0.0165963
+0.0185508
+0.020553
+0.0225903
+0.0246341
+0.0267013
+0.0287867
+0.0308867
+0.0329985
+0.0351199
+0.0372494
+0.0393856
+0.041391
+0.0434071
+0.0454393
+0.0474857
+0.0495444
+0.0516139
+0.0536136
+0.0541398
+0.0547487
+0.0612588
+0.0608795
+0.060577
+0.0603525
+0.0601995
+0.0601181
+0.0601164
+0.0601945
+0.060352
+0.0605884
+0.0609027
+0.0612822
+0.0617336
+0.0615018
+0.0613091
+0.0611942
+0.0611576
+0.0611995
+0.0613197
+0.0615177
+0.0598803
+0.0580823
+0.056307
+0.0545619
+0.05285
+0.0511746
+0.0495339
+0.0479082
+0.0463238
+0.0447906
+0.0433139
+0.0418287
+0.0402416
+0.0387058
+0.0372304
+0.0358283
+0.0344804
+0.0326031
+0.0307673
+0.0289808
+0.0272534
+0.025597
+0.0240263
+0.0225592
+0.0212172
+0.0200224
+0.0189807
+0.0181449
+0.017535
+0.0171716
+0.0170835
+0.0172751
+0.0177192
+0.0184023
+0.0193111
+0.0204045
+0.0216578
+0.0230225
+0.0212292
+0.0195087
+0.0178912
+0.0164074
+0.0150808
+0.0137955
+0.0126547
+0.0118118
+0.011112
+0.0105613
+0.00981351
+0.00885651
+0.00794885
+0.00747161
+0.00753247
+0.00804371
+0.00885627
+0.0100012
+0.0114549
+0.0131065
+0.0148791
+0.0167478
+0.0186865
+0.0206756
+0.0227018
+0.0247561
+0.0268303
+0.0289064
+0.0309983
+0.0331029
+0.0352181
+0.0373363
+0.0393162
+0.0413174
+0.0433369
+0.0453723
+0.0474215
+0.0494829
+0.0515549
+0.0536055
+0.0552067
+0.0558039
+0.0625742
+0.0622028
+0.0619044
+0.0616698
+0.0615123
+0.0614325
+0.0614309
+0.0615073
+0.0616615
+0.0618929
+0.0622006
+0.0625764
+0.0630186
+0.0632791
+0.0630918
+0.0629802
+0.0629447
+0.0629854
+0.0631022
+0.0617303
+0.0599096
+0.0581125
+0.0563381
+0.054594
+0.0528832
+0.0512089
+0.0495749
+0.0479642
+0.0463818
+0.0448505
+0.0433759
+0.0419371
+0.0403543
+0.0388229
+0.0373522
+0.0359548
+0.0346331
+0.0333903
+0.0316269
+0.0298919
+0.0282203
+0.0266241
+0.0251177
+0.0237182
+0.0224456
+0.0213198
+0.0203446
+0.0195671
+0.0189941
+0.0186591
+0.0185781
+0.0187544
+0.0191731
+0.0198061
+0.0206532
+0.021679
+0.0228625
+0.0239346
+0.0222075
+0.0205465
+0.0189406
+0.017446
+0.0160859
+0.0148278
+0.0137446
+0.0128751
+0.0122163
+0.0116084
+0.0106676
+0.0094603
+0.00861534
+0.00817063
+0.00821329
+0.00868455
+0.00947793
+0.0106215
+0.0120002
+0.0135857
+0.0153107
+0.0171424
+0.0190501
+0.021013
+0.0230171
+0.0250502
+0.0271036
+0.0291769
+0.0312633
+0.0333513
+0.0354308
+0.0373833
+0.0393608
+0.0413598
+0.0433773
+0.0454109
+0.0474585
+0.0495152
+0.0515801
+0.0536036
+0.0556352
+0.0569239
+0.0639172
+0.0635537
+0.0632577
+0.063028
+0.0628739
+0.0627959
+0.0627943
+0.0628691
+0.0630199
+0.0632463
+0.0635475
+0.0639196
+0.0643525
+0.0648565
+0.0648949
+0.0647864
+0.0647518
+0.0647914
+0.0636772
+0.0618363
+0.0600189
+0.0582251
+0.0564543
+0.0547139
+0.0530069
+0.0513367
+0.0497069
+0.0481035
+0.0465346
+0.0450082
+0.0435386
+0.0421252
+0.0405851
+0.0390627
+0.0376014
+0.0362136
+0.0349017
+0.0336689
+0.0325284
+0.0309315
+0.0293192
+0.0277862
+0.0263463
+0.0250157
+0.0238125
+0.0227544
+0.0218434
+0.0211159
+0.0205833
+0.0202745
+0.0202
+0.0203623
+0.0207557
+0.0213428
+0.0221311
+0.0230914
+0.0242059
+0.0246908
+0.0230068
+0.0214058
+0.0198909
+0.0184697
+0.0171702
+0.0160192
+0.0149766
+0.0140899
+0.0134439
+0.0128196
+0.0115804
+0.0104756
+0.00971099
+0.00931581
+0.00930601
+0.00972445
+0.0105027
+0.0115575
+0.0128519
+0.014359
+0.0160177
+0.0177835
+0.019629
+0.0215392
+0.0234985
+0.0254954
+0.0275218
+0.0295717
+0.0316404
+0.0337029
+0.0356153
+0.0375582
+0.0395269
+0.0415179
+0.0435244
+0.0455447
+0.0475801
+0.0496287
+0.0516761
+0.0536912
+0.0557196
+0.0577599
+0.0653053
+0.0649495
+0.0646568
+0.0644322
+0.0642814
+0.0642051
+0.0642035
+0.0642767
+0.0644242
+0.0646457
+0.0649404
+0.0653073
+0.0657323
+0.0662259
+0.0667161
+0.0666106
+0.066577
+0.0657126
+0.0638553
+0.0620196
+0.0602077
+0.0584198
+0.0566551
+0.054921
+0.0532207
+0.0515574
+0.0499347
+0.0483389
+0.046778
+0.0452598
+0.0437986
+0.0423939
+0.0409159
+0.039423
+0.0379755
+0.036602
+0.0353045
+0.0340862
+0.0329602
+0.0318912
+0.0305341
+0.0290653
+0.027692
+0.0264291
+0.0252933
+0.0243009
+0.0234495
+0.0227632
+0.02227
+0.0219849
+0.0219162
+0.0220659
+0.0224295
+0.0229858
+0.0237196
+0.0246171
+0.0256655
+0.0255794
+0.0239586
+0.022413
+0.0209683
+0.0196303
+0.0183575
+0.0171567
+0.0161264
+0.0153164
+0.014744
+0.0139979
+0.0127804
+0.0118099
+0.0110985
+0.0107479
+0.0107223
+0.0110866
+0.0117779
+0.0127542
+0.0139751
+0.0153785
+0.0169406
+0.0186271
+0.0204095
+0.022265
+0.0241695
+0.0261152
+0.028097
+0.0301077
+0.032142
+0.0340227
+0.0359224
+0.0378532
+0.039801
+0.0417717
+0.0437633
+0.045773
+0.0477987
+0.0498384
+0.0518595
+0.0538678
+0.0558898
+0.057924
+0.0667363
+0.0663883
+0.066099
+0.0658792
+0.0657318
+0.0656572
+0.0656557
+0.0657272
+0.0658715
+0.0660881
+0.0663764
+0.0667354
+0.0671554
+0.0676385
+0.0681886
+0.0684563
+0.0678285
+0.065958
+0.0641077
+0.0622795
+0.0604754
+0.0586956
+0.0569394
+0.0552143
+0.0535233
+0.0518697
+0.0502571
+0.0486719
+0.0471221
+0.0456154
+0.044166
+0.0427731
+0.0413537
+0.0398793
+0.0384514
+0.0370955
+0.0358223
+0.0346373
+0.0335298
+0.0324799
+0.0315131
+0.0304378
+0.0291292
+0.0279315
+0.0268593
+0.0259239
+0.0251125
+0.024471
+0.0240128
+0.0237487
+0.0236851
+0.0238237
+0.0241609
+0.0246886
+0.0253843
+0.0262198
+0.0272065
+0.0265887
+0.0250333
+0.0235487
+0.0221667
+0.0208328
+0.0195673
+0.0184276
+0.0174502
+0.0166848
+0.0161357
+0.0153222
+0.0142084
+0.0133195
+0.0127069
+0.0123994
+0.012363
+0.0126803
+0.0132889
+0.0141751
+0.0152963
+0.0166172
+0.0180752
+0.0196646
+0.0213607
+0.02314
+0.0249848
+0.0268815
+0.02882
+0.0307906
+0.03263
+0.0344673
+0.0363437
+0.0382533
+0.0401817
+0.0421346
+0.0441098
+0.0461045
+0.0481162
+0.0501429
+0.0521345
+0.0541325
+0.056145
+0.0581703
+0.0682078
+0.0678663
+0.0675813
+0.0673665
+0.0672223
+0.0671493
+0.0671478
+0.0672177
+0.0673589
+0.0675708
+0.0678528
+0.068204
+0.0686188
+0.0690917
+0.0696304
+0.0700176
+0.068136
+0.0662716
+0.0644278
+0.0626063
+0.0608092
+0.0590387
+0.0572973
+0.0555876
+0.0539128
+0.052272
+0.0506723
+0.0491005
+0.0475647
+0.0460725
+0.0446379
+0.0432602
+0.0418811
+0.0404472
+0.0390401
+0.0377053
+0.0364535
+0.0352933
+0.0342128
+0.033182
+0.0322578
+0.0314183
+0.0306558
+0.02952
+0.0285076
+0.02761
+0.0268496
+0.0262505
+0.025824
+0.0255786
+0.0255196
+0.0256482
+0.0259617
+0.0264535
+0.027114
+0.0279022
+0.0288314
+0.027664
+0.0261103
+0.0246437
+0.0232912
+0.0220716
+0.0208963
+0.0198254
+0.018909
+0.0182051
+0.0176119
+0.0168285
+0.0157909
+0.0149961
+0.0144547
+0.0141866
+0.0141415
+0.0144201
+0.0149592
+0.0157609
+0.0167764
+0.0179893
+0.0193574
+0.0208655
+0.0224713
+0.0241689
+0.0259406
+0.0277722
+0.0296525
+0.0314816
+0.033238
+0.0350434
+0.0368906
+0.0387732
+0.040677
+0.0426071
+0.0445614
+0.0465367
+0.0485306
+0.0505318
+0.0524994
+0.0544841
+0.0564841
+0.0584977
+0.069717
+0.0693801
+0.0691014
+0.0688913
+0.0687503
+0.068679
+0.0686775
+0.0687458
+0.0688838
+0.0690911
+0.0693669
+0.0697105
+0.0701201
+0.070583
+0.0711104
+0.0703729
+0.0684993
+0.0666451
+0.0648119
+0.0630016
+0.0612161
+0.0594577
+0.0577289
+0.0560324
+0.0543712
+0.0527482
+0.0511633
+0.0496221
+0.0481031
+0.0466281
+0.0452112
+0.0438514
+0.042513
+0.0411029
+0.0397409
+0.0384305
+0.0372031
+0.036067
+0.0350087
+0.034002
+0.0331099
+0.0322851
+0.0315585
+0.0309439
+0.0302188
+0.0293627
+0.0286489
+0.0280883
+0.02769
+0.0274613
+0.0274064
+0.0275262
+0.0278185
+0.0282781
+0.0288968
+0.029651
+0.0303283
+0.0287488
+0.0272482
+0.0258463
+0.0245601
+0.0233741
+0.0223156
+0.0213316
+0.0204986
+0.0198511
+0.0191305
+0.0184493
+0.017505
+0.0167915
+0.0163099
+0.0160451
+0.0160003
+0.0162473
+0.0167409
+0.017478
+0.018399
+0.0195112
+0.0207794
+0.0221918
+0.0237227
+0.0253393
+0.0270344
+0.0287965
+0.0306048
+0.0322604
+0.0339766
+0.0357447
+0.0375574
+0.0394082
+0.0412827
+0.0431858
+0.045115
+0.0470671
+0.0490394
+0.0510024
+0.0529526
+0.0549209
+0.0569055
+0.0589047
+0.0712616
+0.0709293
+0.0706567
+0.0704512
+0.0703133
+0.0702436
+0.0702421
+0.070309
+0.0704439
+0.0706466
+0.0709163
+0.0712524
+0.071654
+0.07211
+0.0726263
+0.0707925
+0.0689304
+0.0670881
+0.0652674
+0.06347
+0.0616981
+0.0599538
+0.0582397
+0.0565586
+0.0549133
+0.0533068
+0.0517391
+0.050218
+0.0487341
+0.0472788
+0.045882
+0.0445374
+0.0432326
+0.0418614
+0.040547
+0.0392641
+0.0380636
+0.036954
+0.0359207
+0.0349403
+0.0340728
+0.0332737
+0.0325442
+0.0319449
+0.0314707
+0.0311036
+0.0304995
+0.0299735
+0.0296006
+0.0293868
+0.0293354
+0.0294474
+0.0297209
+0.0301514
+0.0307325
+0.0314552
+0.0314533
+0.0299274
+0.0284884
+0.0271501
+0.0259138
+0.0247877
+0.0237625
+0.0228368
+0.0220836
+0.0214119
+0.0207554
+0.0201754
+0.0193157
+0.0186715
+0.0182361
+0.017978
+0.0179343
+0.0181549
+0.0186101
+0.0192747
+0.0201136
+0.0211471
+0.0223261
+0.0236463
+0.0250886
+0.0266332
+0.028256
+0.0299463
+0.0315534
+0.0331659
+0.0348376
+0.0365641
+0.038338
+0.0401528
+0.0419941
+0.0438664
+0.0457669
+0.0476923
+0.0496397
+0.0515619
+0.0534917
+0.0554409
+0.0574075
+0.0593898
+0.0728394
+0.0725116
+0.0722449
+0.0720439
+0.0719092
+0.071841
+0.0718395
+0.0719049
+0.0720368
+0.072235
+0.0724989
+0.0728277
+0.0732206
+0.0736705
+0.0731436
+0.0712771
+0.069428
+0.0675992
+0.0657926
+0.06401
+0.0622535
+0.0605252
+0.0588278
+0.0571639
+0.0555328
+0.0539409
+0.0523921
+0.0508906
+0.0494405
+0.0480207
+0.0466461
+0.0453032
+0.0440211
+0.0427189
+0.0414317
+0.0401902
+0.0390182
+0.0379365
+0.0369403
+0.0359877
+0.0351368
+0.0343499
+0.0336404
+0.033061
+0.0326031
+0.03226
+0.0320491
+0.0318978
+0.0315477
+0.0313471
+0.031299
+0.0314039
+0.0316605
+0.032065
+0.032612
+0.0332944
+0.0326728
+0.0312066
+0.0298294
+0.0285441
+0.0273509
+0.0262865
+0.0253115
+0.024446
+0.0236825
+0.0230439
+0.0224765
+0.0219312
+0.0211982
+0.0206129
+0.0201978
+0.0199624
+0.0199214
+0.0201203
+0.0205282
+0.0211354
+0.0219101
+0.0228624
+0.0239734
+0.0252075
+0.0265651
+0.0280285
+0.0295819
+0.0311233
+0.0326135
+0.0341792
+0.0358105
+0.0374936
+0.0392256
+0.0410011
+0.0428059
+0.0446442
+0.0465129
+0.0484087
+0.0503094
+0.0521936
+0.0541009
+0.0560289
+0.0579755
+0.059939
+0.0744482
+0.0741248
+0.073864
+0.0736674
+0.0735356
+0.073469
+0.0734676
+0.0735315
+0.0736605
+0.0738543
+0.0741124
+0.0744341
+0.0748186
+0.0752624
+0.0736653
+0.0718145
+0.0699833
+0.0681733
+0.0663861
+0.0646198
+0.0628803
+0.0611681
+0.0594849
+0.0578358
+0.0562237
+0.0546518
+0.0531238
+0.0516435
+0.0502152
+0.0488434
+0.0474795
+0.0461604
+0.0449028
+0.0436695
+0.0424112
+0.0412121
+0.0400699
+0.0390151
+0.0380449
+0.0371282
+0.0362896
+0.0355192
+0.0348334
+0.0342742
+0.0338392
+0.0335168
+0.0333139
+0.0332345
+0.0332641
+0.0333361
+0.0332908
+0.0333896
+0.033631
+0.0340121
+0.0344534
+0.0349857
+0.033928
+0.032519
+0.0311896
+0.0299523
+0.0288285
+0.0278321
+0.0269419
+0.0260972
+0.0253547
+0.0247593
+0.0242585
+0.0237299
+0.0231351
+0.0226
+0.0222016
+0.0219846
+0.0219474
+0.0221281
+0.0224896
+0.0230453
+0.0237727
+0.0246533
+0.0256909
+0.0268567
+0.0281349
+0.0295206
+0.0309983
+0.0323462
+0.0337825
+0.0352963
+0.0368783
+0.0385199
+0.040213
+0.0419468
+0.0437126
+0.0455142
+0.0473486
+0.0492122
+0.0510506
+0.0529084
+0.0547908
+0.0566953
+0.0586199
+0.0605625
+0.0760844
+0.075767
+0.0755119
+0.0753196
+0.0751907
+0.0751255
+0.0751242
+0.0751867
+0.0753129
+0.0755024
+0.0757549
+0.0760696
+0.0764459
+0.0761026
+0.0742479
+0.072412
+0.0705963
+0.0688025
+0.0670322
+0.0652875
+0.0635689
+0.0618735
+0.0602101
+0.0585814
+0.0569904
+0.0554403
+0.0539346
+0.0524772
+0.0510722
+0.0497241
+0.0483957
+0.0471039
+0.0458722
+0.0447074
+0.0434791
+0.0423228
+0.0412102
+0.0401737
+0.0392322
+0.0383439
+0.037535
+0.0367712
+0.0361092
+0.0355701
+0.0351423
+0.0348379
+0.0346636
+0.0345878
+0.0346158
+0.0347284
+0.034873
+0.0348875
+0.0350392
+0.0353146
+0.0357082
+0.0362095
+0.035271
+0.0339086
+0.0326273
+0.0314466
+0.0303781
+0.0294342
+0.0286239
+0.0277995
+0.0270927
+0.0265361
+0.0260806
+0.0255897
+0.0251121
+0.0246129
+0.0242377
+0.0240363
+0.0240023
+0.0241655
+0.0244899
+0.0250012
+0.0256872
+0.0265042
+0.027472
+0.0285753
+0.0297832
+0.0310955
+0.0323699
+0.0336669
+0.0350491
+0.0365105
+0.038042
+0.0396354
+0.0412837
+0.0429804
+0.0447082
+0.0464713
+0.0482693
+0.0500694
+0.0518737
+0.0537031
+0.0555585
+0.0574376
+0.0593381
+0.0612579
+0.077747
+0.0774364
+0.0771868
+0.0769987
+0.0768726
+0.0768089
+0.0768075
+0.0768687
+0.0769921
+0.0771775
+0.0774245
+0.0777325
+0.0781008
+0.0767293
+0.0748901
+0.0730704
+0.0712714
+0.069495
+0.0677429
+0.0660169
+0.0643186
+0.0626436
+0.0610012
+0.0593941
+0.0578255
+0.0562984
+0.0548163
+0.0533829
+0.0520024
+0.050679
+0.0493922
+0.0481288
+0.046924
+0.0457923
+0.0446288
+0.0435011
+0.042422
+0.0414158
+0.0405033
+0.0396435
+0.0388516
+0.0381
+0.0374615
+0.0369421
+0.0365304
+0.0362377
+0.0360758
+0.0360235
+0.0360413
+0.0361494
+0.0362458
+0.0362598
+0.0364058
+0.036671
+0.0370501
+0.0375026
+0.0366878
+0.0353715
+0.0341451
+0.0330187
+0.0320028
+0.0311082
+0.0303377
+0.0295662
+0.0288923
+0.0283641
+0.0279558
+0.0274984
+0.0271091
+0.0266466
+0.0262987
+0.0261107
+0.0260793
+0.0262227
+0.0265204
+0.0269932
+0.0276321
+0.0284035
+0.0293087
+0.0303453
+0.0314977
+0.03266
+0.033817
+0.0350605
+0.0363898
+0.0377994
+0.0392807
+0.0408258
+0.0424278
+0.0440805
+0.0457784
+0.0475102
+0.0492482
+0.0510017
+0.052775
+0.0545742
+0.056401
+0.0582529
+0.0601276
+0.062023
+0.0794352
+0.0791313
+0.078887
+0.078703
+0.0785796
+0.0785172
+0.0785159
+0.0785757
+0.0786965
+0.0788779
+0.0791196
+0.0794211
+0.0792541
+0.0774129
+0.0755904
+0.0737879
+0.0720069
+0.0702491
+0.0685163
+0.0668103
+0.0651326
+0.0634791
+0.0618589
+0.0602747
+0.0587296
+0.0572266
+0.0557692
+0.054361
+0.0530059
+0.0517082
+0.0504622
+0.049217
+0.0480395
+0.0469348
+0.0458362
+0.0447376
+0.0437092
+0.0427343
+0.0418504
+0.0410189
+0.0402311
+0.0395057
+0.0388903
+0.0383902
+0.0379942
+0.0377128
+0.0375573
+0.037511
+0.0375285
+0.0376324
+0.0376961
+0.0377095
+0.03785
+0.0381051
+0.0384701
+0.0388738
+0.0381699
+0.0369065
+0.0357328
+0.0346581
+0.0336916
+0.0328408
+0.0321096
+0.0313776
+0.0307427
+0.0302387
+0.0298711
+0.0294463
+0.0291333
+0.0287035
+0.0283792
+0.0282026
+0.0281736
+0.0282984
+0.0285745
+0.0290139
+0.0296092
+0.0303422
+0.0311911
+0.0321671
+0.0332376
+0.0342352
+0.0353407
+0.0365324
+0.03781
+0.0391685
+0.0405999
+0.0420966
+0.043652
+0.04526
+0.0469152
+0.0486108
+0.0502912
+0.0520096
+0.0537478
+0.0555174
+0.0573148
+0.0591381
+0.0609856
+0.0628552
+0.0811474
+0.0808499
+0.0806109
+0.0804308
+0.0803101
+0.080249
+0.0802478
+0.0803063
+0.0804244
+0.080602
+0.0808385
+0.0811336
+0.0799762
+0.078152
+0.0763471
+0.0745629
+0.0728009
+0.0710627
+0.0693502
+0.0676653
+0.0660093
+0.0643783
+0.0627813
+0.061221
+0.0597004
+0.0582225
+0.0567906
+0.0554084
+0.0540796
+0.0528083
+0.0515821
+0.0503715
+0.0492217
+0.0481441
+0.0471131
+0.0460451
+0.0450467
+0.0441221
+0.0432667
+0.0424628
+0.041679
+0.0409792
+0.0403863
+0.039905
+0.0395253
+0.0392548
+0.0391054
+0.0390609
+0.0390819
+0.0391817
+0.0392152
+0.0392281
+0.0393631
+0.0396084
+0.0399421
+0.0403174
+0.0397175
+0.038505
+0.0373815
+0.0363555
+0.0354354
+0.0346232
+0.0339304
+0.033234
+0.0326353
+0.0321532
+0.0318078
+0.0314262
+0.0311743
+0.0307788
+0.0304751
+0.0303084
+0.0302815
+0.0303903
+0.0306476
+0.0310576
+0.0316145
+0.0323098
+0.0331084
+0.0340294
+0.0349244
+0.0358751
+0.0369316
+0.0380735
+0.039301
+0.0406097
+0.041992
+0.0434408
+0.0449497
+0.0465128
+0.048125
+0.0497637
+0.0514064
+0.0530867
+0.05479
+0.056527
+0.0582945
+0.0600898
+0.0619093
+0.0637518
+0.0828822
+0.0825909
+0.0823569
+0.0821807
+0.0820625
+0.0820028
+0.0820016
+0.0820588
+0.0821745
+0.0823482
+0.0825798
+0.0825761
+0.0807512
+0.078945
+0.0771587
+0.0753937
+0.0736515
+0.0719339
+0.0702426
+0.0685796
+0.0669463
+0.0653387
+0.0637657
+0.0622301
+0.0607348
+0.0592826
+0.057877
+0.0565214
+0.0552194
+0.0539749
+0.0527583
+0.0515933
+0.0504712
+0.0494209
+0.0484469
+0.0474179
+0.0464489
+0.0455648
+0.0447454
+0.0439528
+0.0431788
+0.0425037
+0.0419324
+0.041469
+0.0411161
+0.0408562
+0.0407127
+0.0406699
+0.0406941
+0.0407899
+0.0407953
+0.0408078
+0.0409376
+0.0411735
+0.0414643
+0.041826
+0.0413234
+0.0401594
+0.0390835
+0.0381034
+0.037225
+0.0364501
+0.0357927
+0.0351235
+0.0345575
+0.0341011
+0.0337755
+0.0334324
+0.0331958
+0.0328673
+0.0325779
+0.0324256
+0.0323993
+0.0324952
+0.0327359
+0.0331201
+0.0336429
+0.0342978
+0.0350526
+0.0358663
+0.0366645
+0.0375713
+0.0385813
+0.0396758
+0.0408552
+0.0421156
+0.04345
+0.0448517
+0.0463146
+0.0478332
+0.0494023
+0.0509848
+0.0525894
+0.0542302
+0.0558987
+0.0576022
+0.0593377
+0.0611024
+0.0628939
+0.06471
+0.0846381
+0.0843529
+0.0841238
+0.0839513
+0.0838356
+0.0837771
+0.0837759
+0.083832
+0.0839452
+0.0841153
+0.084342
+0.0833846
+0.0815778
+0.0797902
+0.0780233
+0.0762783
+0.0745568
+0.0728606
+0.0711913
+0.069551
+0.067941
+0.0663575
+0.0648093
+0.063299
+0.0618295
+0.0604037
+0.0590248
+0.0576961
+0.0564212
+0.0551883
+0.0539977
+0.052871
+0.0517834
+0.0507602
+0.0498124
+0.0488504
+0.0479104
+0.0470537
+0.0462703
+0.0454831
+0.0447356
+0.0440844
+0.0435338
+0.0430877
+0.0427443
+0.0424944
+0.0423564
+0.0423282
+0.0423574
+0.0424494
+0.0424081
+0.04242
+0.0425449
+0.0427818
+0.0430443
+0.0433928
+0.042981
+0.0418631
+0.0408321
+0.0398949
+0.039052
+0.0383141
+0.0376892
+0.0370395
+0.0365033
+0.0360768
+0.0357692
+0.0354605
+0.0352343
+0.034955
+0.034683
+0.0345481
+0.0345225
+0.0346108
+0.0348369
+0.0351982
+0.0356905
+0.0363085
+0.0370184
+0.0376723
+0.0384401
+0.0393152
+0.0402826
+0.041332
+0.0424655
+0.0436795
+0.0449675
+0.0463233
+0.0477412
+0.0492158
+0.0507421
+0.0522692
+0.0538355
+0.0554367
+0.0570699
+0.0587395
+0.0604423
+0.0621757
+0.0639372
+0.0657245
+0.0864138
+0.0861345
+0.0859102
+0.0857412
+0.085628
+0.0855708
+0.0855696
+0.0856244
+0.0857353
+0.0859018
+0.0860488
+0.0842422
+0.0824543
+0.0806861
+0.0789392
+0.0772149
+0.0755148
+0.0738406
+0.072194
+0.070577
+0.0689909
+0.0674321
+0.0659091
+0.0644246
+0.0629814
+0.0615822
+0.0602303
+0.0589288
+0.0576812
+0.0564594
+0.0552961
+0.0541964
+0.0531534
+0.0521571
+0.0512352
+0.0503374
+0.0494257
+0.0485958
+0.047828
+0.0470657
+0.0463437
+0.0457154
+0.0451847
+0.044755
+0.0444205
+0.04418
+0.0440473
+0.0440203
+0.0440639
+0.0441524
+0.0440705
+0.044082
+0.0442022
+0.0444303
+0.0446757
+0.0450115
+0.044678
+0.0436102
+0.0426171
+0.0417124
+0.0409052
+0.0402013
+0.0396062
+0.0389844
+0.0384753
+0.038076
+0.0377829
+0.0375068
+0.0372727
+0.0370545
+0.0367981
+0.0366709
+0.0366519
+0.0367351
+0.0369482
+0.0372891
+0.0377541
+0.0383389
+0.0388943
+0.0395172
+0.0402498
+0.0410864
+0.0420205
+0.0430361
+0.0441258
+0.0452953
+0.0465386
+0.0478499
+0.0492239
+0.0506553
+0.0521244
+0.0536055
+0.0551339
+0.0567022
+0.0583
+0.0599353
+0.0616051
+0.0633066
+0.0650375
+0.0667953
+0.0882083
+0.0879347
+0.0877149
+0.0875494
+0.0874386
+0.0873825
+0.0873813
+0.0874351
+0.0875436
+0.0877068
+0.0869355
+0.0851477
+0.0833791
+0.081631
+0.0799047
+0.0782018
+0.0765236
+0.0748719
+0.0732485
+0.0716553
+0.0700933
+0.0685595
+0.0670621
+0.0656037
+0.064187
+0.0628147
+0.0614899
+0.0602157
+0.0589812
+0.0577856
+0.0566496
+0.0555767
+0.0545659
+0.0536072
+0.0527106
+0.0518578
+0.0509902
+0.0501861
+0.0494317
+0.0486954
+0.0479979
+0.0473916
+0.0468798
+0.0464658
+0.0461398
+0.0459084
+0.0457807
+0.0457547
+0.0458117
+0.0458712
+0.0457775
+0.0457886
+0.0459043
+0.0461068
+0.0463414
+0.0466652
+0.0464061
+0.0453856
+0.0444293
+0.0435623
+0.04279
+0.0421176
+0.0415485
+0.0409542
+0.0404699
+0.0400951
+0.0398074
+0.0395687
+0.0393275
+0.0391478
+0.0389215
+0.0388013
+0.0387882
+0.0388669
+0.0390684
+0.0393908
+0.0398314
+0.0403179
+0.0408016
+0.0413959
+0.0420958
+0.0428963
+0.0437919
+0.0447769
+0.0458307
+0.0469578
+0.0481582
+0.0494266
+0.0507578
+0.0521472
+0.0535501
+0.0549928
+0.0564836
+0.0580189
+0.0595852
+0.0611862
+0.0628228
+0.0644922
+0.066192
+0.06792
+0.0900202
+0.0897521
+0.0895369
+0.0893748
+0.0892662
+0.0892113
+0.0892101
+0.0892627
+0.0893691
+0.0895289
+0.0878677
+0.0860993
+0.0843507
+0.0826232
+0.0809181
+0.0792369
+0.0775811
+0.0759524
+0.0743526
+0.0727803
+0.071237
+0.0697283
+0.0682566
+0.0668243
+0.065434
+0.0640884
+0.0627904
+0.0615431
+0.0603315
+0.0591632
+0.0580541
+0.0570077
+0.0560227
+0.0551021
+0.0542302
+0.053406
+0.0525979
+0.0518186
+0.051079
+0.050367
+0.0496937
+0.0491083
+0.0486146
+0.0482155
+0.0478977
+0.0476748
+0.0475518
+0.0475269
+0.0475861
+0.0476144
+0.0475242
+0.0475349
+0.0476464
+0.0478154
+0.0480482
+0.0483607
+0.0481717
+0.0471932
+0.0462743
+0.0454425
+0.0447027
+0.0440594
+0.0435125
+0.0429454
+0.0424838
+0.0421242
+0.0418486
+0.0416436
+0.0413963
+0.0412217
+0.041052
+0.0409381
+0.0409287
+0.0410028
+0.0411935
+0.0414991
+0.0419171
+0.0422745
+0.0427362
+0.0433038
+0.0439734
+0.0447404
+0.0455997
+0.0465464
+0.0475746
+0.0486621
+0.0498215
+0.0510485
+0.0523386
+0.0536738
+0.0550261
+0.056431
+0.0578848
+0.0593839
+0.0609222
+0.0624889
+0.0640922
+0.0657294
+0.067398
+0.0690959
+0.0918487
+0.091586
+0.091375
+0.0912162
+0.0911098
+0.091056
+0.0910548
+0.0911064
+0.0912106
+0.0906121
+0.0888443
+0.0870957
+0.0853675
+0.083661
+0.0819774
+0.0803184
+0.0786854
+0.07708
+0.0754985
+0.0739469
+0.0724284
+0.0709451
+0.0694991
+0.068093
+0.0667291
+0.0654102
+0.064139
+0.0629184
+0.0617287
+0.0605874
+0.0595048
+0.0584843
+0.0575261
+0.0566333
+0.0557899
+0.0549978
+0.0542353
+0.0534798
+0.0527659
+0.0520697
+0.0514269
+0.0508614
+0.0503849
+0.0499995
+0.0496899
+0.0494751
+0.0493566
+0.0493326
+0.0493897
+0.0493933
+0.0493063
+0.0493166
+0.0494241
+0.049562
+0.0497873
+0.0500945
+0.0499683
+0.049032
+0.0481482
+0.0473493
+0.0466398
+0.0460236
+0.0454972
+0.0449551
+0.0445144
+0.0441674
+0.0439042
+0.0437193
+0.043477
+0.0433005
+0.0431885
+0.0430803
+0.0430713
+0.0431417
+0.043323
+0.0436137
+0.0439169
+0.0442531
+0.0446943
+0.0452374
+0.0458788
+0.0466144
+0.0474398
+0.0483505
+0.0493417
+0.0504037
+0.0515239
+0.0527113
+0.0539616
+0.0552334
+0.0565484
+0.0579164
+0.0593339
+0.0607972
+0.0623032
+0.0638402
+0.0654104
+0.0670154
+0.0686528
+0.0703203
+0.0936927
+0.0934352
+0.0932284
+0.0930727
+0.0929684
+0.0929157
+0.0929146
+0.0929651
+0.0930672
+0.0916118
+0.0898636
+0.0881352
+0.0864278
+0.0847427
+0.0830811
+0.0814445
+0.0798331
+0.0782449
+0.0766863
+0.0751593
+0.0736658
+0.0722079
+0.0707877
+0.0694077
+0.0680701
+0.0667777
+0.0655331
+0.0643336
+0.0631633
+0.0620484
+0.0609918
+0.0599966
+0.0590659
+0.0581874
+0.0573785
+0.0566184
+0.0559105
+0.055178
+0.0544867
+0.0538078
+0.0531938
+0.0526473
+0.0521871
+0.0518121
+0.051513
+0.0513058
+0.0511915
+0.0511685
+0.0512235
+0.0512041
+0.0511202
+0.0511301
+0.051218
+0.0513426
+0.0515601
+0.051863
+0.0517949
+0.0508987
+0.0500479
+0.0492798
+0.0485984
+0.0480075
+0.0475
+0.0469811
+0.0465595
+0.0462242
+0.0459717
+0.0457951
+0.045568
+0.0453834
+0.0452844
+0.0452271
+0.0452185
+0.0452856
+0.0454432
+0.0456598
+0.0459292
+0.0462508
+0.0466731
+0.0471935
+0.0478086
+0.048515
+0.0493086
+0.0501854
+0.0511411
+0.0521712
+0.0532601
+0.0544097
+0.0556128
+0.0568346
+0.0581134
+0.0594455
+0.0608273
+0.0622555
+0.0637271
+0.065237
+0.0667744
+0.0683474
+0.0699536
+0.0715908
+0.0955514
+0.0952988
+0.0950961
+0.0949435
+0.0948413
+0.0947896
+0.0947885
+0.0948381
+0.0943998
+0.0926524
+0.0909243
+0.0892165
+0.0875302
+0.0858666
+0.0842272
+0.0826097
+0.0810166
+0.079452
+0.0779176
+0.0764152
+0.0749468
+0.0735142
+0.0721198
+0.0707657
+0.0694544
+0.0681882
+0.0669676
+0.0657843
+0.0646404
+0.0635514
+0.0625202
+0.0615497
+0.0606373
+0.0597813
+0.0589943
+0.0582747
+0.0575985
+0.0569098
+0.0562354
+0.0555778
+0.0549837
+0.0544628
+0.0540181
+0.0536525
+0.0533637
+0.0531637
+0.0530535
+0.0530312
+0.0530843
+0.0530436
+0.0529626
+0.0529722
+0.0530335
+0.0531539
+0.053364
+0.0536625
+0.0536486
+0.0527864
+0.0519704
+0.0512312
+0.0505762
+0.0500085
+0.0495187
+0.0490211
+0.0486172
+0.0482926
+0.0480469
+0.0478779
+0.0476592
+0.047476
+0.0473804
+0.0473592
+0.0473284
+0.047366
+0.0474925
+0.0477086
+0.0479572
+0.0482653
+0.0486701
+0.0491693
+0.04976
+0.0504391
+0.0512029
+0.0520478
+0.0529699
+0.0539651
+0.0550286
+0.0561422
+0.0572872
+0.0584741
+0.0597178
+0.0610149
+0.0623619
+0.0637558
+0.0651935
+0.0666721
+0.0681816
+0.0697228
+0.071298
+0.0729051
+0.0885058
+0.0865534
+0.0846091
+0.082677
+0.0807582
+0.0788536
+0.0769642
+0.0750911
+0.0732357
+0.0713943
+0.0695695
+0.0677664
+0.0659868
+0.0642325
+0.0625058
+0.0608091
+0.0591376
+0.0574945
+0.055889
+0.0543243
+0.0528042
+0.0513326
+0.0499138
+0.0485523
+0.0472533
+0.046022
+0.0448638
+0.0437772
+0.0427611
+0.0418351
+0.0410053
+0.0402777
+0.0396579
+0.039151
+0.0387615
+0.0384929
+0.0383478
+0.0383276
+0.0384324
+0.0386613
+0.039012
+0.0394767
+0.0400374
+0.0407084
+0.0414843
+0.0423595
+0.0433278
+0.0443832
+0.0455197
+0.0467312
+0.0480123
+0.0493573
+0.0507613
+0.0522194
+0.0537273
+0.055281
+0.0568765
+0.0584573
+0.0599737
+0.0615308
+0.0631254
+0.0647549
+0.0663861
+0.0678263
+0.0692844
+0.0707745
+0.072294
+0.0738472
+0.0754321
+0.0770466
+0.078689
+0.0803056
+0.0819288
+0.0835698
+0.0852355
+0.0858217
+0.085841
+0.0859055
+0.0860258
+0.0862016
+0.0864326
+0.0867137
+0.087043
+0.087426
+0.087855
+0.0883327
+0.0888618
+0.0894414
+0.0900706
+0.0907484
+0.0914736
+0.0922373
+0.093034
+0.0938659
+0.0947405
+0.0956573
+0.096611
+0.0975888
+0.0986057
+0.0996603
+0.0875426
+0.0855702
+0.0836086
+0.081656
+0.0797126
+0.0777824
+0.0758663
+0.0739654
+0.0720811
+0.0702144
+0.0683663
+0.0665306
+0.064717
+0.0629274
+0.0611639
+0.0594288
+0.0577247
+0.0560501
+0.0544019
+0.0527932
+0.0512277
+0.0497095
+0.0482429
+0.046833
+0.0454849
+0.0442043
+0.0429972
+0.0418699
+0.0408113
+0.03984
+0.0389678
+0.0382014
+0.0375473
+0.0370116
+0.0365993
+0.0363148
+0.0361609
+0.0361394
+0.0362506
+0.0364931
+0.0368645
+0.0373502
+0.0379423
+0.0386497
+0.0394661
+0.040385
+0.0413996
+0.0425029
+0.0436883
+0.0449493
+0.0462796
+0.0476736
+0.0491257
+0.050631
+0.0521848
+0.053783
+0.0554013
+0.0569148
+0.0584713
+0.0600673
+0.0616998
+0.063366
+0.0648185
+0.0662704
+0.0677608
+0.0692771
+0.0708287
+0.0724133
+0.0740289
+0.0756734
+0.077298
+0.0789211
+0.0805638
+0.082232
+0.0839243
+0.0844396
+0.0844703
+0.0845578
+0.0846872
+0.0848658
+0.0851004
+0.0853906
+0.085728
+0.0861168
+0.0865593
+0.0870478
+0.0875847
+0.0881727
+0.0888109
+0.0894982
+0.0902335
+0.0910155
+0.0918252
+0.092668
+0.0935538
+0.0944693
+0.0954189
+0.0964088
+0.097438
+0.0985051
+0.0866242
+0.0846304
+0.0826465
+0.0806734
+0.0787117
+0.0767588
+0.0748165
+0.0728882
+0.0709753
+0.0690788
+0.0672002
+0.065341
+0.0634974
+0.0616724
+0.059872
+0.0580983
+0.056354
+0.0546418
+0.0529631
+0.05131
+0.0496978
+0.0481313
+0.0466152
+0.0451543
+0.0437543
+0.0424212
+0.0411617
+0.0399826
+0.0388873
+0.0378666
+0.0369478
+0.0361386
+0.0354465
+0.0348785
+0.0344407
+0.0341382
+0.0339745
+0.0339516
+0.0340699
+0.0343279
+0.0347224
+0.0352315
+0.0358586
+0.0366063
+0.0374673
+0.038434
+0.0394987
+0.0406537
+0.0418914
+0.0432049
+0.0445873
+0.0460325
+0.0475348
+0.0490889
+0.05069
+0.0523339
+0.0538604
+0.055416
+0.0570134
+0.0586491
+0.06032
+0.0618197
+0.0632645
+0.0647512
+0.0662676
+0.0678173
+0.0694015
+0.071018
+0.0726646
+0.0742978
+0.0759207
+0.0775651
+0.0792359
+0.0809315
+0.0826504
+0.0830922
+0.0831234
+0.0832124
+0.0833588
+0.0835624
+0.0838044
+0.084099
+0.0844489
+0.084844
+0.0852931
+0.0857958
+0.0863443
+0.0869407
+0.0875879
+0.0882847
+0.08903
+0.0898225
+0.0906531
+0.0915059
+0.092382
+0.0933013
+0.0942626
+0.0952646
+0.096306
+0.0973807
+0.0857519
+0.0837373
+0.0817318
+0.079736
+0.0777507
+0.0757768
+0.073815
+0.0718617
+0.0699206
+0.0679947
+0.0660853
+0.0641939
+0.0623221
+0.0604708
+0.0586335
+0.0568212
+0.0550364
+0.0532819
+0.0515608
+0.0498762
+0.0482186
+0.0466022
+0.0450344
+0.0435205
+0.0420661
+0.0406778
+0.0393625
+0.0381278
+0.0369818
+0.0359184
+0.0349485
+0.0340918
+0.0333573
+0.0327531
+0.0322865
+0.0319635
+0.0317886
+0.0317642
+0.0318906
+0.0321661
+0.0325868
+0.0331223
+0.0337885
+0.034581
+0.0354912
+0.0365103
+0.0376294
+0.03884
+0.0401337
+0.0415028
+0.0429401
+0.0444389
+0.0459933
+0.0475977
+0.0492474
+0.0508113
+0.0523659
+0.0539646
+0.0556036
+0.0572791
+0.0588312
+0.060268
+0.0617491
+0.0632667
+0.0648141
+0.0663977
+0.0680151
+0.0696637
+0.071306
+0.0729285
+0.0745745
+0.0762479
+0.0779469
+0.07967
+0.0814139
+0.0817813
+0.081813
+0.0819034
+0.0820522
+0.082259
+0.0825235
+0.0828384
+0.083201
+0.0836065
+0.0840628
+0.0845734
+0.0851351
+0.0857403
+0.0863967
+0.0871033
+0.0878588
+0.0886621
+0.0895103
+0.0903526
+0.0912398
+0.0921706
+0.0931435
+0.0941574
+0.0952045
+0.0962875
+0.0849271
+0.0828925
+0.080866
+0.0788484
+0.0768401
+0.0748422
+0.0728553
+0.0708804
+0.0689186
+0.0669648
+0.0650252
+0.063102
+0.0611968
+0.0593113
+0.0574474
+0.0556011
+0.0537758
+0.0519788
+0.0502131
+0.048482
+0.0467895
+0.0451275
+0.0435066
+0.0419375
+0.0404262
+0.0389796
+0.0376049
+0.0363105
+0.0351052
+0.0339984
+0.0329734
+0.0320641
+0.031282
+0.0306368
+0.0301375
+0.0297913
+0.0296035
+0.0295773
+0.029713
+0.0300084
+0.0304553
+0.0310243
+0.0317346
+0.0325771
+0.0335417
+0.0346182
+0.0357966
+0.0370671
+0.0384205
+0.0398485
+0.0413434
+0.042898
+0.0445062
+0.0461624
+0.0477685
+0.0493217
+0.0509217
+0.0525644
+0.0542434
+0.0558546
+0.0572823
+0.058757
+0.0602753
+0.0618203
+0.063403
+0.065021
+0.0666717
+0.0683236
+0.0699455
+0.071593
+0.073269
+0.0749715
+0.0766989
+0.0784445
+0.0802093
+0.0803908
+0.0804808
+0.0806302
+0.0807838
+0.0809939
+0.08126
+0.0815753
+0.0819479
+0.0823771
+0.082855
+0.0833806
+0.0839526
+0.084575
+0.0852404
+0.0859565
+0.086722
+0.0875357
+0.0883853
+0.0892383
+0.0901365
+0.0910785
+0.092063
+0.0930806
+0.0941371
+0.0952322
+0.0841514
+0.0820975
+0.0800509
+0.0780122
+0.0759818
+0.0739607
+0.0719495
+0.069949
+0.0679603
+0.0659844
+0.0640224
+0.0620682
+0.0601303
+0.0582102
+0.05631
+0.0544315
+0.0525763
+0.0507368
+0.0489263
+0.047148
+0.0454058
+0.043704
+0.0420374
+0.0404113
+0.0388407
+0.0373326
+0.035895
+0.0345365
+0.033267
+0.0320969
+0.0310273
+0.0300592
+0.0292234
+0.0285318
+0.027995
+0.0276219
+0.0274193
+0.027391
+0.0275375
+0.027856
+0.0283292
+0.02894
+0.0297003
+0.0305988
+0.0316238
+0.0327634
+0.0340061
+0.035341
+0.0367581
+0.0382482
+0.0398032
+0.0414157
+0.0430792
+0.0447333
+0.0462846
+0.0478859
+0.0495324
+0.0512152
+0.0528919
+0.0543092
+0.0557764
+0.0572899
+0.0588372
+0.0604187
+0.0620371
+0.0636899
+0.0653521
+0.0669729
+0.0686219
+0.0703005
+0.0720065
+0.0737375
+0.0754854
+0.0772557
+0.0789779
+0.0790088
+0.0791003
+0.0792524
+0.0794646
+0.0797364
+0.0800319
+0.080352
+0.0807302
+0.0811659
+0.081658
+0.0822035
+0.0827942
+0.0834383
+0.0841252
+0.0848508
+0.0856262
+0.0864502
+0.0873009
+0.0881643
+0.0890733
+0.0900261
+0.0910126
+0.0920406
+0.0931089
+0.094216
+0.0834259
+0.0813538
+0.079288
+0.0772291
+0.0751776
+0.0731342
+0.0710996
+0.0690746
+0.0670599
+0.0650567
+0.0630659
+0.0610888
+0.0591257
+0.057172
+0.055236
+0.0533197
+0.0514254
+0.0495555
+0.0477055
+0.0458799
+0.0440876
+0.0423328
+0.0406204
+0.0389485
+0.0373164
+0.0357441
+0.0342398
+0.0328129
+0.031474
+0.0302346
+0.0291075
+0.028082
+0.0271856
+0.0264407
+0.0258605
+0.0254561
+0.0252362
+0.0252054
+0.0253645
+0.02571
+0.0262137
+0.0268727
+0.0276898
+0.0286514
+0.0297436
+0.0309525
+0.032265
+0.033669
+0.0351536
+0.0367089
+0.0383264
+0.0399984
+0.0417074
+0.0432563
+0.0448587
+0.0465091
+0.0481959
+0.0499206
+0.0513508
+0.0528094
+0.0543172
+0.0558667
+0.0574464
+0.0590651
+0.0607196
+0.0623928
+0.0640123
+0.0656625
+0.0673436
+0.0690532
+0.0707852
+0.0725379
+0.0743139
+0.0761115
+0.0776325
+0.077664
+0.0777571
+0.0779118
+0.0781276
+0.0784041
+0.0787405
+0.0791362
+0.0795543
+0.0799963
+0.0804956
+0.081051
+0.0816614
+0.0823174
+0.0830221
+0.0837682
+0.0845643
+0.085407
+0.0862584
+0.0871322
+0.0880499
+0.0890043
+0.0900021
+0.0910415
+0.0921214
+0.0932402
+0.0827439
+0.0806583
+0.0785781
+0.0765007
+0.0744292
+0.0723647
+0.0703078
+0.0682593
+0.0662198
+0.0641903
+0.0621718
+0.0601653
+0.0581721
+0.0561936
+0.0542293
+0.0522761
+0.0503425
+0.0484308
+0.0465437
+0.0446832
+0.0428409
+0.0410328
+0.0392638
+0.0375392
+0.0358613
+0.0342222
+0.0326478
+0.0311481
+0.0297342
+0.0284191
+0.027217
+0.026139
+0.0251734
+0.0243671
+0.0237363
+0.0232951
+0.0230545
+0.0230208
+0.0231949
+0.0235722
+0.0241118
+0.0248266
+0.0257088
+0.0267417
+0.0279087
+0.0291937
+0.0305818
+0.0320596
+0.0336153
+0.0352386
+0.0369205
+0.0386535
+0.0402385
+0.0418418
+0.0434957
+0.0451873
+0.0469169
+0.04841
+0.0498583
+0.0513594
+0.0529085
+0.0544881
+0.0561066
+0.0577629
+0.0594473
+0.0610653
+0.0627165
+0.0644
+0.066113
+0.0678457
+0.0696035
+0.0713852
+0.0731892
+0.0750138
+0.0763264
+0.0763583
+0.0764531
+0.0766104
+0.0768299
+0.077111
+0.077453
+0.0778553
+0.0783126
+0.0788205
+0.0793766
+0.0799398
+0.0805587
+0.0812319
+0.0819546
+0.0827142
+0.0835221
+0.0843773
+0.0852595
+0.0861398
+0.0870601
+0.0880253
+0.089034
+0.0900846
+0.0911758
+0.0923061
+0.0821112
+0.080009
+0.0779117
+0.0758197
+0.0737334
+0.0716532
+0.069576
+0.0675052
+0.0654423
+0.0633879
+0.061343
+0.0593085
+0.0572855
+0.0552753
+0.0532793
+0.0512992
+0.0493332
+0.0473808
+0.0454502
+0.0435441
+0.041666
+0.039811
+0.0379851
+0.0361997
+0.034461
+0.0327761
+0.0311287
+0.0295519
+0.0280578
+0.02666
+0.0253747
+0.0242197
+0.0231937
+0.0223159
+0.0216253
+0.0211401
+0.0208747
+0.0208375
+0.0210297
+0.0214428
+0.0220271
+0.0228073
+0.0237646
+0.0248784
+0.0261288
+0.0274971
+0.0289666
+0.0305227
+0.0321528
+0.0338463
+0.0355941
+0.0372339
+0.0388377
+0.0404934
+0.0421916
+0.0439256
+0.04549
+0.0469262
+0.048419
+0.0499633
+0.051541
+0.053159
+0.0548167
+0.0565108
+0.058134
+0.0597859
+0.0614716
+0.0631848
+0.064921
+0.0666839
+0.0684716
+0.070282
+0.0721136
+0.0739647
+0.0750381
+0.075083
+0.0751903
+0.0753502
+0.0755733
+0.0758591
+0.0762068
+0.0766155
+0.0770762
+0.0775922
+0.0781662
+0.078797
+0.0794831
+0.0801825
+0.0809182
+0.0816958
+0.0825159
+0.0833855
+0.0843003
+0.0851841
+0.0861147
+0.0870904
+0.0880911
+0.08908
+0.0901113
+0.0911835
+0.0815324
+0.0794149
+0.0773015
+0.0751925
+0.0730883
+0.0709893
+0.0688961
+0.0668091
+0.0647288
+0.0626518
+0.0605821
+0.0585211
+0.0564699
+0.0544296
+0.0524014
+0.0503868
+0.0483876
+0.0464056
+0.0444377
+0.0424863
+0.0405593
+0.0386604
+0.0367925
+0.0349462
+0.0331419
+0.0313867
+0.0296895
+0.0280362
+0.0264566
+0.0249694
+0.0235921
+0.0223451
+0.0212513
+0.0202939
+0.0195319
+0.0189933
+0.0186975
+0.0186559
+0.0188703
+0.0193189
+0.0199651
+0.0208227
+0.021867
+0.0230727
+0.0244157
+0.0258747
+0.0274313
+0.0290697
+0.0307769
+0.0325421
+0.034246
+0.0358496
+0.0375067
+0.0392119
+0.0409503
+0.0425952
+0.0440169
+0.0454996
+0.0470377
+0.0486104
+0.0502272
+0.0518862
+0.0535833
+0.0552209
+0.0568731
+0.0585606
+0.0602728
+0.0620131
+0.0637812
+0.0655748
+0.0673918
+0.0692305
+0.0710892
+0.0729663
+0.0737905
+0.0738361
+0.0739466
+0.0741218
+0.0743601
+0.0746505
+0.0750038
+0.075419
+0.075883
+0.0764071
+0.0769899
+0.0776302
+0.0783266
+0.0790775
+0.0798815
+0.0806998
+0.0815486
+0.0824336
+0.0833123
+0.0841405
+0.0850104
+0.085923
+0.0868814
+0.0878838
+0.088929
+0.0900153
+0.0810087
+0.0788772
+0.076749
+0.0746243
+0.0725037
+0.0703873
+0.0682756
+0.066169
+0.0640681
+0.0619734
+0.0598855
+0.0578051
+0.0557286
+0.0536601
+0.0516017
+0.0495546
+0.0475203
+0.0455006
+0.0434974
+0.0415131
+0.039543
+0.0375928
+0.0356705
+0.0337809
+0.0319187
+0.0300923
+0.0283177
+0.0266051
+0.0249451
+0.0233619
+0.0218837
+0.0205332
+0.0193372
+0.0183107
+0.0174624
+0.0168579
+0.0165238
+0.0164768
+0.0167192
+0.0172113
+0.0179336
+0.0188838
+0.0200294
+0.0213391
+0.0227846
+0.0243416
+0.0259901
+0.0277139
+0.0294996
+0.0312796
+0.0328819
+0.0345396
+0.036252
+0.0379945
+0.0397311
+0.0411351
+0.0426055
+0.0441357
+0.045702
+0.0473167
+0.0489763
+0.0506761
+0.0523291
+0.0539809
+0.0556676
+0.0573803
+0.0591246
+0.0608977
+0.0626972
+0.0645209
+0.0663669
+0.0682332
+0.0701183
+0.0720207
+0.0725875
+0.0726339
+0.0727463
+0.0729243
+0.0731675
+0.0734753
+0.0738463
+0.0742638
+0.074735
+0.075267
+0.0758586
+0.0765084
+0.0772149
+0.0779766
+0.0787918
+0.0796589
+0.0805625
+0.0813007
+0.0820908
+0.0829312
+0.0838134
+0.084739
+0.0857105
+0.0867265
+0.0877761
+0.0887086
+0.0805413
+0.078397
+0.0762554
+0.0741166
+0.071981
+0.0698488
+0.0677203
+0.0655959
+0.063476
+0.0613611
+0.0592517
+0.0571484
+0.0550519
+0.052963
+0.0508826
+0.0488066
+0.0467397
+0.0446847
+0.0426432
+0.0406173
+0.0386093
+0.0366223
+0.0346493
+0.0327008
+0.0307848
+0.0289062
+0.0270538
+0.0252557
+0.0235242
+0.0218561
+0.0202683
+0.0188022
+0.0174882
+0.016363
+0.0154264
+0.0147386
+0.0143553
+0.0143011
+0.0145797
+0.0151274
+0.0159444
+0.0170061
+0.0182699
+0.0196969
+0.0212543
+0.0229155
+0.0246596
+0.0264701
+0.0283321
+0.0299397
+0.0315977
+0.0333172
+0.0350634
+0.0368167
+0.0382871
+0.0397421
+0.0412621
+0.0428201
+0.0444316
+0.0460909
+0.047793
+0.0494623
+0.0511128
+0.0527955
+0.0545104
+0.0562584
+0.0580363
+0.0598417
+0.0616721
+0.0635252
+0.0653993
+0.0672924
+0.0692031
+0.07113
+0.0714315
+0.0714786
+0.0715928
+0.0717737
+0.0720208
+0.0723335
+0.0727108
+0.0731402
+0.0736312
+0.0741742
+0.0747744
+0.0754336
+0.07615
+0.0769222
+0.0777485
+0.0785438
+0.0793578
+0.0801084
+0.0809102
+0.0817627
+0.0826568
+0.0835839
+0.0845575
+0.0855762
+0.0864624
+0.0873894
+0.080131
+0.0779755
+0.0758219
+0.0736706
+0.0715216
+0.0693753
+0.0672318
+0.0650915
+0.0629546
+0.0608215
+0.0586927
+0.0565687
+0.0544499
+0.052337
+0.0502308
+0.0481321
+0.0460421
+0.0439616
+0.0418863
+0.0398219
+0.0377717
+0.0357381
+0.0337243
+0.0317339
+0.0297573
+0.0278111
+0.025904
+0.0240305
+0.0222037
+0.0204485
+0.01877
+0.0171764
+0.0157271
+0.0144656
+0.0134392
+0.0126437
+0.0121947
+0.0121309
+0.0124572
+0.0130785
+0.0140154
+0.0152123
+0.0166131
+0.0181707
+0.0198482
+0.0216178
+0.0234585
+0.025347
+0.0270298
+0.0286887
+0.0304149
+0.0321635
+0.0339253
+0.035481
+0.0369166
+0.0384219
+0.0399707
+0.0415771
+0.043235
+0.0449384
+0.0466251
+0.0482721
+0.0499504
+0.0516669
+0.053418
+0.0552006
+0.0570115
+0.0588484
+0.0607087
+0.0625904
+0.0644916
+0.0664106
+0.068346
+0.0702964
+0.0703189
+0.0703724
+0.0704883
+0.070672
+0.070923
+0.0712404
+0.0716235
+0.0720597
+0.072558
+0.0731186
+0.0737394
+0.0744077
+0.0751339
+0.0758464
+0.0765874
+0.0773703
+0.0781728
+0.0789245
+0.0797263
+0.0805797
+0.0814734
+0.0824027
+0.0833793
+0.0842665
+0.08516
+0.0860999
+0.0797687
+0.0776078
+0.0754458
+0.0732856
+0.0711266
+0.0689682
+0.0668116
+0.0646574
+0.0625057
+0.0603568
+0.058211
+0.0560687
+0.0539302
+0.0517961
+0.049667
+0.0475435
+0.0454263
+0.0433165
+0.041215
+0.0391234
+0.0370431
+0.034969
+0.0329082
+0.0308652
+0.0288438
+0.0268486
+0.0248678
+0.0229252
+0.021029
+0.0191666
+0.0173808
+0.0156886
+0.0140871
+0.0126633
+0.0114834
+0.0105858
+0.0100454
+0.0099678
+0.0103473
+0.0110839
+0.0121753
+0.0135359
+0.0150931
+0.0167923
+0.0185946
+0.0204665
+0.0223925
+0.0241569
+0.0258237
+0.0275552
+0.029304
+0.0310734
+0.0327277
+0.0341385
+0.0356249
+0.037161
+0.0387601
+0.0404147
+0.0421183
+0.0438112
+0.0454529
+0.0471372
+0.0488543
+0.0506079
+0.0523945
+0.0542107
+0.0560537
+0.0579209
+0.05981
+0.0617191
+0.0636464
+0.0655901
+0.067549
+0.0691368
+0.0691564
+0.0692453
+0.0694033
+0.0696096
+0.0698644
+0.0701866
+0.0705754
+0.0710292
+0.0715358
+0.0721044
+0.0727345
+0.0733658
+0.074002
+0.0746734
+0.0753889
+0.0761608
+0.0769873
+0.0777474
+0.078558
+0.0794006
+0.0802941
+0.0812369
+0.0821276
+0.0829862
+0.0838934
+0.0848474
+0.0794402
+0.0772721
+0.0751054
+0.07294
+0.0707762
+0.0686141
+0.0664523
+0.0642884
+0.0621265
+0.0599666
+0.0578081
+0.0556504
+0.0534953
+0.0513431
+0.0491944
+0.0470495
+0.0449091
+0.0427737
+0.0406443
+0.0385217
+0.0364071
+0.0343021
+0.0322086
+0.0301287
+0.0280568
+0.0260018
+0.0239708
+0.021967
+0.0199827
+0.0180461
+0.0161526
+0.0143262
+0.0126154
+0.0110028
+0.00962145
+0.00858346
+0.00790729
+0.00780851
+0.00827464
+0.00917911
+0.0104709
+0.012026
+0.0137552
+0.0155973
+0.0175108
+0.0194828
+0.0213401
+0.0230085
+0.0247477
+0.0264909
+0.0282666
+0.0300415
+0.0314203
+0.0328798
+0.0344009
+0.0359893
+0.0376382
+0.0393401
+0.0410338
+0.0426699
+0.0443539
+0.0460783
+0.0478334
+0.0496232
+0.0514439
+0.0532925
+0.0551662
+0.0570625
+0.0589791
+0.0609143
+0.0628662
+0.0648333
+0.0668125
+0.0680247
+0.0680446
+0.0681349
+0.0682955
+0.0685258
+0.068825
+0.0691856
+0.0695799
+0.0700403
+0.070561
+0.0710798
+0.0716149
+0.0721756
+0.072784
+0.0734528
+0.0741802
+0.0749646
+0.0758042
+0.076576
+0.0773542
+0.0781859
+0.0790585
+0.0799694
+0.0808713
+0.0817431
+0.0826639
+0.0836219
+0.0791711
+0.0769954
+0.0748206
+0.0726467
+0.0704739
+0.0683023
+0.0661319
+0.0639629
+0.0617954
+0.0596296
+0.0574657
+0.0553028
+0.0531365
+0.0509723
+0.0488105
+0.0466513
+0.0444938
+0.0423375
+0.040185
+0.0380367
+0.0358936
+0.0337567
+0.031627
+0.0295063
+0.0273967
+0.0253008
+0.0232222
+0.0211546
+0.0191107
+0.0170952
+0.0151063
+0.0131777
+0.0112952
+0.00954524
+0.00792928
+0.00663192
+0.00580388
+0.00566857
+0.00628265
+0.00743358
+0.00898013
+0.0107529
+0.0126421
+0.0146143
+0.0166412
+0.0185474
+0.0202284
+0.0219901
+0.0237489
+0.0255274
+0.0273593
+0.0287789
+0.0302024
+0.0317013
+0.0332763
+0.0349159
+0.0366132
+0.0383056
+0.0399333
+0.0416127
+0.0433377
+0.0451011
+0.0468928
+0.0487171
+0.0505705
+0.0524499
+0.0543526
+0.0562763
+0.0582188
+0.0601784
+0.0621394
+0.0641129
+0.0660845
+0.0669644
+0.0669846
+0.0670764
+0.0672394
+0.0674733
+0.0677771
+0.0681501
+0.068591
+0.068982
+0.0694085
+0.0699011
+0.0704017
+0.0709576
+0.0715763
+0.0722561
+0.0729954
+0.0737923
+0.0745572
+0.0752925
+0.0760686
+0.0768902
+0.0777648
+0.0786856
+0.0796453
+0.0805305
+0.0814547
+0.0824257
+0.0789618
+0.0767802
+0.0745991
+0.0724186
+0.0702387
+0.0680596
+0.0658812
+0.0637036
+0.061527
+0.0593514
+0.057177
+0.0550038
+0.0528321
+0.0506621
+0.0484939
+0.0463278
+0.0441639
+0.0419944
+0.0398272
+0.0376628
+0.0355016
+0.0333442
+0.0311888
+0.0290361
+0.0268896
+0.0247508
+0.0226219
+0.020506
+0.0184057
+0.0163221
+0.0142563
+0.0122339
+0.010251
+0.00830239
+0.0064833
+0.00488689
+0.00379954
+0.00359036
+0.00447995
+0.00598802
+0.00781076
+0.00977579
+0.0118204
+0.0139096
+0.0158623
+0.017527
+0.0192878
+0.0210925
+0.022879
+0.0246992
+0.0262377
+0.0276131
+0.0290804
+0.0306343
+0.0322614
+0.0339501
+0.0356379
+0.0372533
+0.038925
+0.0406461
+0.0424105
+0.0442109
+0.0460372
+0.0478941
+0.0497781
+0.0516864
+0.0536162
+0.0555548
+0.0575039
+0.0594699
+0.0614468
+0.0633845
+0.0653383
+0.065947
+0.0659675
+0.0660607
+0.0662262
+0.0664636
+0.0667721
+0.0671007
+0.0673968
+0.0677625
+0.0681966
+0.0686894
+0.0691969
+0.0697624
+0.0703915
+0.0710827
+0.071834
+0.0726145
+0.0732844
+0.0740073
+0.0747873
+0.0756228
+0.07651
+0.077439
+0.0784183
+0.0793492
+0.0802854
+0.0812533
+0.078751
+0.0765856
+0.0744217
+0.0722562
+0.0700713
+0.0678867
+0.0657026
+0.0635189
+0.0613358
+0.0591531
+0.0569711
+0.0547898
+0.0526093
+0.0504296
+0.048251
+0.0460735
+0.0438973
+0.0417226
+0.0395497
+0.0373789
+0.0352105
+0.0330451
+0.0308727
+0.0287018
+0.0265341
+0.0243706
+0.0222124
+0.0200612
+0.017912
+0.0157676
+0.0136372
+0.0115275
+0.0094291
+0.00738454
+0.00539616
+0.0034751
+0.00193898
+0.00174363
+0.0031104
+0.00504561
+0.00709547
+0.00918892
+0.0113192
+0.0133572
+0.01498
+0.0167235
+0.0185189
+0.0203436
+0.0221533
+0.0238284
+0.0251391
+0.0265625
+0.0280848
+0.0296908
+0.0313669
+0.033042
+0.0346431
+0.0363029
+0.0380164
+0.0397765
+0.0415687
+0.0433963
+0.0452561
+0.0471444
+0.0490578
+0.0509796
+0.0529158
+0.0548712
+0.0568438
+0.0587788
+0.0607226
+0.0626827
+0.0646576
+0.0649836
+0.0650083
+0.0651029
+0.0652708
+0.0654211
+0.0656071
+0.0658654
+0.0661952
+0.0665927
+0.0670344
+0.067522
+0.0680381
+0.0686131
+0.0692528
+0.0699552
+0.0707185
+0.0713446
+0.0720203
+0.0727557
+0.073549
+0.0743984
+0.0752912
+0.076235
+0.0772295
+0.0781518
+0.0790556
+0.0800093
+0.0785112
+0.0763404
+0.0741709
+0.0720026
+0.0698357
+0.0676703
+0.0655066
+0.0633444
+0.0611832
+0.0590238
+0.056849
+0.0546628
+0.052477
+0.0502916
+0.0481067
+0.0459224
+0.0437387
+0.0415557
+0.0393736
+0.0371925
+0.0350126
+0.0328341
+0.0306573
+0.0284827
+0.0263108
+0.0241422
+0.0219773
+0.0198058
+0.0176332
+0.0154658
+0.013306
+0.0111582
+0.00900805
+0.00687708
+0.00475036
+0.00268162
+0.000762483
+0.000768695
+0.00266086
+0.00473405
+0.00687437
+0.00899828
+0.0110996
+0.0126644
+0.0143395
+0.0161308
+0.0179712
+0.0197656
+0.0215243
+0.0228169
+0.0241797
+0.0256564
+0.0272294
+0.028883
+0.0305235
+0.0321013
+0.0337477
+0.035453
+0.0372024
+0.0389885
+0.040814
+0.042674
+0.044564
+0.0464703
+0.0483886
+0.0503292
+0.0522896
+0.0542244
+0.0561549
+0.0581039
+0.0599344
+0.0616273
+0.0633375
+0.0640414
+0.0640037
+0.0640275
+0.064069
+0.0641843
+0.0643741
+0.0646375
+0.0649738
+0.0653818
+0.0658602
+0.0663805
+0.0669259
+0.0675148
+0.0681651
+0.0688789
+0.0694822
+0.0701074
+0.070795
+0.071543
+0.0723496
+0.0732115
+0.0741171
+0.0750757
+0.076034
+0.0769005
+0.0778191
+0.0787706
+0.0783299
+0.0761539
+0.0739789
+0.0718048
+0.0696317
+0.0674598
+0.0652892
+0.0631199
+0.0609522
+0.0587861
+0.056622
+0.0544599
+0.0523003
+0.0501434
+0.0479895
+0.045839
+0.0436865
+0.0415009
+0.039316
+0.0371317
+0.0349483
+0.0327658
+0.0305845
+0.0284046
+0.0262265
+0.0240506
+0.0218769
+0.0197047
+0.0175346
+0.0153692
+0.0132122
+0.0110684
+0.00894732
+0.00683959
+0.00479678
+0.00284137
+0.00142054
+0.00176345
+0.00326258
+0.00511416
+0.00710964
+0.00909318
+0.0107095
+0.0122683
+0.013991
+0.0157743
+0.0175435
+0.0193687
+0.0206613
+0.0219748
+0.0233868
+0.0249105
+0.0265278
+0.0281051
+0.0296498
+0.0312718
+0.0329596
+0.0347037
+0.036489
+0.0383084
+0.0401609
+0.0420421
+0.0439412
+0.0458607
+0.0478035
+0.0497354
+0.0516479
+0.0534876
+0.0551567
+0.0568612
+0.0585467
+0.0602647
+0.0620125
+0.0627782
+0.0627388
+0.0627631
+0.062806
+0.0629236
+0.0631171
+0.0633858
+0.0637287
+0.0641446
+0.0646322
+0.0651897
+0.065746
+0.066369
+0.0670577
+0.0677074
+0.0682786
+0.0689147
+0.069614
+0.0703746
+0.0711945
+0.0720701
+0.0729898
+0.0739631
+0.0747988
+0.0756795
+0.0765972
+0.0775571
+0.0782095
+0.0760301
+0.0738515
+0.0716735
+0.0694963
+0.06732
+0.0651447
+0.0629705
+0.0607974
+0.0586256
+0.0564554
+0.0542867
+0.0521199
+0.0499551
+0.0477928
+0.0456331
+0.0434765
+0.0413236
+0.0391748
+0.0370309
+0.0348928
+0.032758
+0.0306259
+0.0284651
+0.026292
+0.0241222
+0.0219564
+0.0197962
+0.0176434
+0.0155013
+0.013375
+0.0112733
+0.00921316
+0.00722924
+0.00536185
+0.00379902
+0.00299543
+0.00329537
+0.00441294
+0.00599187
+0.00777081
+0.00930282
+0.0106798
+0.0122354
+0.0138876
+0.015588
+0.0173716
+0.0187694
+0.0199692
+0.0213254
+0.0227777
+0.0243395
+0.0258323
+0.0273299
+0.0289161
+0.030577
+0.0323012
+0.0340789
+0.0358831
+0.0377232
+0.039599
+0.0414893
+0.0434067
+0.0453313
+0.0471302
+0.0487643
+0.0504022
+0.0520781
+0.0537754
+0.0554681
+0.0571947
+0.058952
+0.0607376
+0.0615667
+0.061526
+0.0615095
+0.0615668
+0.0617019
+0.0619122
+0.0621861
+0.0625356
+0.0629594
+0.063456
+0.0640238
+0.0646187
+0.0652526
+0.065953
+0.0665437
+0.0671248
+0.0677718
+0.0684828
+0.0692558
+0.0700887
+0.0709686
+0.0719023
+0.0727657
+0.0735953
+0.0744776
+0.0754013
+0.0763731
+0.0781504
+0.0759693
+0.0737889
+0.071609
+0.0694298
+0.0672514
+0.0650738
+0.0628971
+0.0607214
+0.0585468
+0.0563734
+0.0542015
+0.0520311
+0.0498626
+0.047696
+0.0455317
+0.0433701
+0.0412116
+0.0390566
+0.0369059
+0.0347601
+0.0326204
+0.0304878
+0.0283641
+0.0262502
+0.0241397
+0.0220448
+0.0199706
+0.017924
+0.0158791
+0.0138142
+0.0117947
+0.00984879
+0.00802994
+0.00640361
+0.00515598
+0.0046242
+0.00492758
+0.00578884
+0.00711237
+0.00865126
+0.00970734
+0.0110238
+0.0124722
+0.0140116
+0.0156397
+0.0172305
+0.0182693
+0.0195
+0.0208866
+0.0223674
+0.0237468
+0.025178
+0.0267123
+0.0283331
+0.0300263
+0.0317803
+0.0335628
+0.0353866
+0.0372493
+0.0391292
+0.0409023
+0.0424622
+0.0440515
+0.045678
+0.0473186
+0.049002
+0.050691
+0.0523918
+0.0541278
+0.0558958
+0.0576927
+0.0595161
+0.0603761
+0.0603116
+0.0602905
+0.060349
+0.0604867
+0.0607033
+0.0609979
+0.0613693
+0.0618161
+0.0623347
+0.0628964
+0.063474
+0.0641213
+0.0648345
+0.0654328
+0.0660237
+0.0666813
+0.0674038
+0.068189
+0.0690235
+0.0699147
+0.0707787
+0.0715842
+0.0724248
+0.0733117
+0.0742478
+0.0752145
+0.0781527
+0.0759717
+0.0737913
+0.0716115
+0.0694324
+0.067254
+0.0650765
+0.0628999
+0.0607243
+0.0585498
+0.0563766
+0.0542048
+0.0520346
+0.0498661
+0.0476997
+0.0455356
+0.0433742
+0.0412159
+0.0390612
+0.0369107
+0.0347653
+0.0326258
+0.0304937
+0.0283704
+0.0262578
+0.0241506
+0.0220579
+0.0199862
+0.0179428
+0.0159385
+0.0139903
+0.0121251
+0.0103879
+0.00885408
+0.00758413
+0.00678602
+0.00638901
+0.0066225
+0.00738211
+0.00841222
+0.00948146
+0.0105278
+0.0116401
+0.0129247
+0.0143731
+0.0158781
+0.0169695
+0.0180235
+0.0192698
+0.0206719
+0.0219024
+0.0232408
+0.0247013
+0.0262635
+0.0279104
+0.0296239
+0.0313723
+0.0331719
+0.0349228
+0.0363529
+0.0378524
+0.0393841
+0.0409757
+0.0425906
+0.0442369
+0.0459288
+0.0476084
+0.0493182
+0.0510647
+0.0528444
+0.0546539
+0.0564904
+0.0583255
+0.0592018
+0.0591491
+0.0591275
+0.0591871
+0.0593276
+0.0595484
+0.0598487
+0.0602271
+0.0606824
+0.0612127
+0.0617975
+0.0623853
+0.0630438
+0.0637653
+0.0643772
+0.0649777
+0.0656459
+0.0663796
+0.0671652
+0.0680101
+0.0688411
+0.0696303
+0.0704036
+0.0712327
+0.0721108
+0.0730259
+0.0739946
+0.0782163
+0.0760372
+0.0738587
+0.0716809
+0.069504
+0.067328
+0.0651529
+0.062979
+0.0608062
+0.0586348
+0.0564648
+0.0542965
+0.0521301
+0.0499647
+0.0478016
+0.0456411
+0.0434837
+0.0413297
+0.0391798
+0.0370346
+0.0348952
+0.0327625
+0.030638
+0.0285234
+0.0264214
+0.0243349
+0.0222685
+0.0202279
+0.0182174
+0.0162478
+0.0143417
+0.0125203
+0.0108219
+0.00933085
+0.00816182
+0.00742766
+0.00729896
+0.0076924
+0.00848136
+0.00953911
+0.0105213
+0.0115804
+0.0125063
+0.0136426
+0.0149033
+0.0161488
+0.0169725
+0.0180263
+0.0192517
+0.0203398
+0.0215697
+0.0229223
+0.0243942
+0.0259677
+0.0276254
+0.0293444
+0.0305831
+0.0319071
+0.0333226
+0.0347804
+0.0363095
+0.0378926
+0.0395046
+0.0411578
+0.0428511
+0.044528
+0.0462479
+0.0480062
+0.0497987
+0.051622
+0.0534634
+0.055298
+0.0571578
+0.0579467
+0.0578747
+0.0578688
+0.0579457
+0.0581052
+0.0583465
+0.0586687
+0.0590436
+0.0594768
+0.0599869
+0.060572
+0.0612299
+0.0619546
+0.0627434
+0.0633798
+0.0639897
+0.064668
+0.0654008
+0.0661957
+0.0669719
+0.0676649
+0.068387
+0.0691709
+0.0700146
+0.0709052
+0.0718357
+0.0728202
+0.0780904
+0.0761617
+0.0739861
+0.0718114
+0.0696378
+0.0674652
+0.0652939
+0.0631238
+0.0609553
+0.0587884
+0.0566234
+0.0544603
+0.0522996
+0.0501415
+0.0479864
+0.0458346
+0.0436867
+0.0415432
+0.0394049
+0.0372728
+0.0351478
+0.0330314
+0.0309254
+0.028832
+0.0267541
+0.0246948
+0.0226526
+0.0206409
+0.0186696
+0.0167528
+0.0149116
+0.0131778
+0.0115997
+0.0102151
+0.00912586
+0.00847421
+0.0083631
+0.00876751
+0.00954516
+0.0106227
+0.0117295
+0.0127992
+0.013563
+0.0145342
+0.0157236
+0.0164073
+0.0172186
+0.0182363
+0.0191324
+0.0201988
+0.02142
+0.0227814
+0.0242619
+0.0253315
+0.0264099
+0.0276149
+0.0289088
+0.0302693
+0.0317134
+0.0332392
+0.0348059
+0.0364206
+0.0380817
+0.0397642
+0.0414502
+0.0431816
+0.044953
+0.04676
+0.0485985
+0.0504296
+0.0522789
+0.0541537
+0.0560514
+0.056643
+0.0566505
+0.0566453
+0.0567239
+0.0568868
+0.0571333
+0.0574623
+0.0578284
+0.0582707
+0.0587912
+0.0593881
+0.060059
+0.0608015
+0.0616129
+0.0624434
+0.0630623
+0.0637383
+0.0644793
+0.0651544
+0.0657834
+0.0664537
+0.0671887
+0.06797
+0.0688109
+0.0697052
+0.0706515
+0.0716522
+0.0766714
+0.0757358
+0.0741703
+0.0720012
+0.0698335
+0.0676672
+0.0655024
+0.0633378
+0.0611749
+0.0590142
+0.0568557
+0.0546998
+0.0525468
+0.050397
+0.0482509
+0.046109
+0.0439719
+0.0418403
+0.0397152
+0.0375976
+0.0354888
+0.0333907
+0.0313052
+0.0292351
+0.0271839
+0.0251562
+0.0231582
+0.0211982
+0.0192851
+0.0174339
+0.0156683
+0.0140232
+0.0125461
+0.0112775
+0.0103014
+0.00972907
+0.00962683
+0.00992724
+0.0106781
+0.0117464
+0.012992
+0.014096
+0.0146776
+0.0154511
+0.0163854
+0.0169474
+0.0177115
+0.0183734
+0.0192335
+0.0202769
+0.0209873
+0.0216843
+0.0225125
+0.0235162
+0.0246741
+0.0258994
+0.027223
+0.0286531
+0.0301642
+0.0317213
+0.0333393
+0.0350094
+0.0366792
+0.0383757
+0.0401201
+0.0419064
+0.0437295
+0.0455677
+0.0474042
+0.0492696
+0.0511609
+0.0530751
+0.0550101
+0.055377
+0.0553936
+0.0554814
+0.0555616
+0.0557279
+0.0559795
+0.0563024
+0.0566719
+0.0571231
+0.057654
+0.0582626
+0.0589463
+0.0597026
+0.0605029
+0.0613212
+0.0621757
+0.0628688
+0.0634016
+0.0639751
+0.0645787
+0.0652428
+0.065973
+0.0667672
+0.0676203
+0.0685253
+0.0694877
+0.070505
+0.0752502
+0.0743072
+0.0734053
+0.0721974
+0.070034
+0.0678725
+0.0657129
+0.0635554
+0.0614002
+0.0592477
+0.057098
+0.0549516
+0.0528088
+0.0506702
+0.0485362
+0.0464074
+0.0442847
+0.042169
+0.0400613
+0.037963
+0.0358757
+0.0338016
+0.0317431
+0.0297035
+0.0276871
+0.0256991
+0.0237469
+0.02184
+0.0199913
+0.0182157
+0.0165157
+0.014944
+0.0135453
+0.0123769
+0.0114943
+0.0109841
+0.0108986
+0.0111783
+0.0118492
+0.0128545
+0.0140799
+0.0145587
+0.0152319
+0.0159572
+0.0167172
+0.0173043
+0.0177577
+0.0178029
+0.0180418
+0.0184591
+0.0190807
+0.0197771
+0.0206818
+0.0217558
+0.0229005
+0.0241897
+0.0256019
+0.0270826
+0.0286397
+0.0302614
+0.0319422
+0.0335966
+0.0353053
+0.0370647
+0.038868
+0.0407093
+0.0425348
+0.0443887
+0.046272
+0.0481813
+0.0501136
+0.0520664
+0.0540116
+0.0541545
+0.0541402
+0.0541987
+0.0543321
+0.0545424
+0.0548333
+0.0551717
+0.0555486
+0.0560088
+0.0565501
+0.0571703
+0.0578668
+0.0585913
+0.059386
+0.0602348
+0.0611045
+0.0617354
+0.0622439
+0.0627799
+0.0633872
+0.0640637
+0.0648072
+0.0656152
+0.0664756
+0.067396
+0.0683743
+0.0694079
+0.0738584
+0.0728975
+0.0719903
+0.0711272
+0.0702992
+0.0681461
+0.0659954
+0.0638474
+0.0617025
+0.0595609
+0.0574229
+0.0552891
+0.05316
+0.051036
+0.048918
+0.0468066
+0.0447029
+0.0426077
+0.0405224
+0.0384488
+0.036389
+0.0343453
+0.0323209
+0.0303197
+0.0283464
+0.0264027
+0.0244917
+0.0226315
+0.0208357
+0.0191223
+0.0175156
+0.0160478
+0.0147498
+0.0136708
+0.0128773
+0.012424
+0.0123274
+0.0125634
+0.0131647
+0.0140652
+0.0147539
+0.0151856
+0.0155613
+0.0156761
+0.016048
+0.0160655
+0.0158253
+0.0158759
+0.016129
+0.0165293
+0.0171561
+0.0179349
+0.0188617
+0.0199319
+0.0211754
+0.022554
+0.0240052
+0.025562
+0.027188
+0.0288576
+0.0305172
+0.0322402
+0.0340171
+0.0358398
+0.0376731
+0.0395121
+0.0413854
+0.0432886
+0.0452177
+0.0471697
+0.0491418
+0.0511006
+0.0530036
+0.0529012
+0.0528742
+0.0529345
+0.0530711
+0.0532974
+0.0536016
+0.053923
+0.0543086
+0.0547791
+0.0553325
+0.0559662
+0.0566775
+0.0574636
+0.0583214
+0.0592094
+0.060094
+0.0606085
+0.0610854
+0.0616316
+0.0622501
+0.0629388
+0.0636954
+0.0645096
+0.0653843
+0.0663178
+0.0672979
+0.0683342
+0.0725062
+0.0715271
+0.0706024
+0.0697329
+0.0689101
+0.0680618
+0.0663378
+0.0642011
+0.0620681
+0.0599392
+0.057815
+0.0556959
+0.0535826
+0.0514757
+0.0493762
+0.0472849
+0.045203
+0.0431319
+0.0410733
+0.039029
+0.0370014
+0.0349936
+0.0330079
+0.0310404
+0.0291041
+0.0272065
+0.0253562
+0.0235643
+0.0218453
+0.0202177
+0.0186983
+0.0173137
+0.0161091
+0.0151273
+0.0144142
+0.0140107
+0.0138795
+0.0140895
+0.0146283
+0.0153429
+0.0154198
+0.0154332
+0.0151922
+0.014949
+0.0144384
+0.0141196
+0.0139123
+0.0139699
+0.0141971
+0.0145971
+0.015233
+0.0160385
+0.0170096
+0.0181891
+0.0195003
+0.020934
+0.02249
+0.024121
+0.0257705
+0.0274419
+0.0291821
+0.0309795
+0.0328223
+0.0346418
+0.0365021
+0.0383973
+0.0403224
+0.0422734
+0.0442468
+0.0462398
+0.048213
+0.0501881
+0.0518001
+0.0516802
+0.0516525
+0.0517177
+0.0518719
+0.0520753
+0.0523622
+0.0527343
+0.0531284
+0.0536093
+0.0541745
+0.0548215
+0.0555474
+0.0563492
+0.0572237
+0.0581675
+0.059077
+0.0594843
+0.0599689
+0.060529
+0.0611609
+0.0618507
+0.0626094
+0.0634346
+0.064324
+0.0652625
+0.0662583
+0.067307
+0.0711957
+0.0701983
+0.0692559
+0.0683707
+0.0675412
+0.0667033
+0.0657063
+0.0645623
+0.0624429
+0.0603287
+0.0582202
+0.0561179
+0.0540227
+0.0519354
+0.0498569
+0.0477884
+0.0457314
+0.0436873
+0.0416581
+0.0396462
+0.0376542
+0.0356854
+0.0337441
+0.0318351
+0.0299583
+0.0281263
+0.0263492
+0.0246387
+0.0229935
+0.0214392
+0.0200045
+0.0187168
+0.0176084
+0.016715
+0.016042
+0.0155616
+0.0153813
+0.0154932
+0.015868
+0.0161514
+0.0156519
+0.0150261
+0.0140593
+0.0132198
+0.0126091
+0.01223
+0.0119662
+0.01198
+0.0122195
+0.012668
+0.013306
+0.0141552
+0.0152402
+0.0164632
+0.017872
+0.0194259
+0.0210447
+0.0226865
+0.0243724
+0.0261334
+0.0279551
+0.0297807
+0.0316234
+0.0335081
+0.035428
+0.0373777
+0.0393527
+0.0413495
+0.043365
+0.0453531
+0.0473462
+0.049356
+0.0505588
+0.0505194
+0.0504857
+0.0505156
+0.0506368
+0.0508375
+0.0511313
+0.0515168
+0.0519876
+0.0524789
+0.0530562
+0.0537167
+0.0544573
+0.0552749
+0.0561661
+0.0571274
+0.057904
+0.0584038
+0.0588973
+0.0594658
+0.0600953
+0.060797
+0.0615686
+0.0624076
+0.0632948
+0.0642204
+0.0652043
+0.0662453
+0.0699292
+0.0689135
+0.0679533
+0.067051
+0.0662088
+0.065276
+0.0643702
+0.0634147
+0.0625188
+0.0605982
+0.0584994
+0.0564076
+0.0543235
+0.0522482
+0.0501826
+0.0481282
+0.0460863
+0.0440587
+0.0420475
+0.040053
+0.0380768
+0.0361254
+0.0342029
+0.0323146
+0.0304668
+0.0286674
+0.026926
+0.0252546
+0.0236682
+0.0221762
+0.0207925
+0.0195568
+0.0184988
+0.0176503
+0.0169886
+0.0165919
+0.0164793
+0.0166193
+0.0168835
+0.0160547
+0.0149442
+0.0136481
+0.0124771
+0.0115225
+0.010789
+0.0103067
+0.0099448
+0.010004
+0.0102853
+0.0107664
+0.0113922
+0.0123221
+0.013454
+0.0148251
+0.0163718
+0.0179525
+0.0196069
+0.0213113
+0.0230978
+0.0249342
+0.026752
+0.0286221
+0.0305349
+0.0324828
+0.0344598
+0.0364613
+0.0384834
+0.0405231
+0.0425266
+0.0445384
+0.0465664
+0.0485987
+0.0493385
+0.0492686
+0.049284
+0.0493133
+0.0494397
+0.0496626
+0.0499663
+0.0503606
+0.0508464
+0.0514171
+0.0520062
+0.0526798
+0.0534348
+0.0542678
+0.0551753
+0.056021
+0.0566816
+0.0573705
+0.0578871
+0.0584515
+0.0590915
+0.0597934
+0.060535
+0.0613458
+0.0622233
+0.0631626
+0.064162
+0.0652197
+0.0687093
+0.0676753
+0.0666973
+0.0657777
+0.0648202
+0.0638331
+0.0629069
+0.0620429
+0.0611941
+0.0603449
+0.0588589
+0.0567803
+0.0547104
+0.0526503
+0.0506012
+0.0485608
+0.0465335
+0.0445215
+0.0425273
+0.0405533
+0.0386028
+0.0366793
+0.0347875
+0.0329327
+0.0311216
+0.029351
+0.0276337
+0.0259877
+0.0244275
+0.0229704
+0.0216373
+0.0204526
+0.0194205
+0.0185656
+0.0179389
+0.0175649
+0.0174598
+0.0175813
+0.0169443
+0.0154075
+0.0138709
+0.0123115
+0.010932
+0.00975458
+0.00887496
+0.00832716
+0.00791291
+0.00801376
+0.00844884
+0.00885398
+0.0095184
+0.0104965
+0.0118048
+0.0132757
+0.0148629
+0.0165341
+0.0182625
+0.0200812
+0.0218927
+0.0237413
+0.0256438
+0.0275891
+0.0295688
+0.0315763
+0.0336068
+0.0356562
+0.0377213
+0.0397402
+0.0417718
+0.0438035
+0.0458152
+0.0478427
+0.048114
+0.0480423
+0.0480705
+0.0481304
+0.0482613
+0.048491
+0.0488054
+0.049209
+0.049706
+0.0502936
+0.0509687
+0.0516799
+0.052463
+0.0532498
+0.0540741
+0.0548535
+0.0555188
+0.0562499
+0.0568241
+0.0574305
+0.0580487
+0.0587274
+0.0594791
+0.0603011
+0.0611904
+0.0621442
+0.063158
+0.06408
+0.0675368
+0.0664862
+0.0654904
+0.0644826
+0.0634295
+0.0624207
+0.0614736
+0.0605908
+0.0597741
+0.0590146
+0.0582433
+0.057214
+0.0551581
+0.0531131
+0.0510801
+0.0490607
+0.0470566
+0.0450699
+0.043103
+0.0411587
+0.0392314
+0.0373263
+0.0354543
+0.0336207
+0.0318323
+0.0300972
+0.0284251
+0.0268277
+0.0253192
+0.0239165
+0.0226393
+0.0214871
+0.0204847
+0.0196459
+0.0189537
+0.0184486
+0.018195
+0.0179646
+0.0161697
+0.0144186
+0.012653
+0.0109736
+0.00942751
+0.00810158
+0.00701195
+0.00631681
+0.00594408
+0.00594221
+0.0063398
+0.00686561
+0.0076513
+0.00883855
+0.010181
+0.0117777
+0.013473
+0.0152337
+0.0170559
+0.0188697
+0.0207563
+0.0226977
+0.0246808
+0.0266964
+0.0287376
+0.0307993
+0.0328778
+0.0349623
+0.0370027
+0.039034
+0.0410456
+0.0430747
+0.0451189
+0.0468226
+0.0468986
+0.0468251
+0.046854
+0.0468986
+0.047033
+0.0472686
+0.0475976
+0.0480114
+0.0485206
+0.0491224
+0.0498133
+0.0505785
+0.0513462
+0.052156
+0.0529973
+0.0537499
+0.0544194
+0.055165
+0.0557682
+0.0563409
+0.0569655
+0.0576569
+0.0584224
+0.059259
+0.0601637
+0.0611057
+0.0618853
+0.0627317
+0.0664151
+0.0653476
+0.0642767
+0.0631462
+0.0620724
+0.0610534
+0.0600847
+0.0591812
+0.0583461
+0.0575795
+0.056875
+0.0562238
+0.0555412
+0.0536467
+0.0516306
+0.0496292
+0.0476446
+0.0456787
+0.0437343
+0.041814
+0.0399132
+0.0380423
+0.0362072
+0.0344138
+0.0326689
+0.0309807
+0.0293589
+0.0278152
+0.026317
+0.0248891
+0.023561
+0.0223643
+0.0213183
+0.0204057
+0.0196953
+0.0192097
+0.0189663
+0.017308
+0.0153517
+0.0134505
+0.0116371
+0.00983297
+0.00811555
+0.00653668
+0.00521271
+0.00434627
+0.00387948
+0.00387165
+0.00431258
+0.00490981
+0.00586427
+0.00708915
+0.00870127
+0.0104338
+0.0122355
+0.0140169
+0.0158756
+0.01781
+0.0197979
+0.0218247
+0.0238804
+0.0259582
+0.0280532
+0.0301618
+0.0322648
+0.0343008
+0.0363103
+0.0383397
+0.0403859
+0.0422458
+0.0437303
+0.045272
+0.0456766
+0.0456012
+0.0456262
+0.0456593
+0.0457973
+0.0460392
+0.0463835
+0.0468278
+0.0473581
+0.0479741
+0.0486809
+0.0493911
+0.050177
+0.0510449
+0.0519645
+0.0527076
+0.0533873
+0.0541471
+0.0546716
+0.0552686
+0.0559305
+0.0566346
+0.0574137
+0.0582648
+0.0590444
+0.0597705
+0.0605673
+0.0614318
+0.0653476
+0.0642198
+0.0630122
+0.0618586
+0.0607621
+0.0597217
+0.0587326
+0.0578097
+0.0569561
+0.056175
+0.0554653
+0.0548213
+0.0542581
+0.0536885
+0.0522424
+0.0502655
+0.0483069
+0.0463692
+0.044455
+0.0425665
+0.0406997
+0.0388667
+0.0370725
+0.0352884
+0.0335285
+0.0318222
+0.0301785
+0.0286082
+0.0271074
+0.025694
+0.0243958
+0.0232319
+0.0221821
+0.0213063
+0.0206269
+0.0201638
+0.018827
+0.016776
+0.0147461
+0.0127139
+0.0107441
+0.00887687
+0.0070633
+0.00527671
+0.00368084
+0.00251535
+0.00187805
+0.00182601
+0.00231472
+0.00300097
+0.00400687
+0.00561774
+0.00744327
+0.00921251
+0.0110108
+0.0129307
+0.0149254
+0.0169685
+0.0190444
+0.0211435
+0.0232595
+0.0253881
+0.0275085
+0.0295765
+0.0316248
+0.0336515
+0.0356976
+0.0377499
+0.0391597
+0.0406387
+0.0421797
+0.0434815
+0.0444498
+0.0444497
+0.0444354
+0.0444694
+0.0446111
+0.0448594
+0.0452127
+0.0456684
+0.0462178
+0.0468492
+0.0475554
+0.048272
+0.049076
+0.0499632
+0.0509003
+0.0517342
+0.0524264
+0.0531049
+0.0536298
+0.0542382
+0.0549274
+0.0556658
+0.0564583
+0.0570736
+0.0577446
+0.0584869
+0.0593009
+0.0601837
+0.0643123
+0.0630304
+0.0617995
+0.0606228
+0.0595035
+0.0584397
+0.0574286
+0.0564843
+0.0556104
+0.0548101
+0.0540868
+0.0534435
+0.0528693
+0.0523769
+0.0518996
+0.0509879
+0.0490583
+0.047148
+0.0452494
+0.0433406
+0.0414597
+0.0396107
+0.0377982
+0.0360278
+0.0343059
+0.0326347
+0.0310099
+0.0294585
+0.0279927
+0.0266266
+0.0253763
+0.0242259
+0.0232209
+0.0223857
+0.0217401
+0.0207012
+0.018599
+0.0164945
+0.0143695
+0.0122675
+0.010203
+0.00817538
+0.00616577
+0.0042368
+0.00250718
+0.00081774
+-0.000159609
+-0.000211904
+0.000245896
+0.000966946
+0.00256872
+0.0044989
+0.00619922
+0.00807461
+0.010078
+0.0121463
+0.0142492
+0.0163708
+0.0185054
+0.0206515
+0.0227964
+0.0248702
+0.0269626
+0.0290209
+0.0310636
+0.0331252
+0.0346789
+0.0360756
+0.0375483
+0.0390884
+0.0406881
+0.0417255
+0.0427262
+0.0433375
+0.0433204
+0.0433562
+0.0435015
+0.0437562
+0.0441183
+0.0445852
+0.0451367
+0.0457843
+0.0464768
+0.0472002
+0.0480027
+0.0488903
+0.0498584
+0.0508365
+0.0515408
+0.0520884
+0.0526235
+0.0532434
+0.0539452
+0.054664
+0.0552024
+0.0558173
+0.0565
+0.0572584
+0.0580896
+0.0589905
+0.0631994
+0.0618937
+0.060639
+0.0594384
+0.0582954
+0.0572129
+0.0561797
+0.0552141
+0.0543197
+0.0535001
+0.0527589
+0.0520992
+0.0515243
+0.051031
+0.0506127
+0.0499952
+0.0492775
+0.0478386
+0.045933
+0.0440524
+0.0421962
+0.0403736
+0.0385892
+0.0368424
+0.0351392
+0.0334926
+0.0319115
+0.0304061
+0.0289883
+0.0276714
+0.0264705
+0.0253703
+0.0244125
+0.0236195
+0.0226357
+0.0204988
+0.0183746
+0.0162681
+0.0141525
+0.0120518
+0.0099145
+0.0077537
+0.00561562
+0.00350819
+0.00149124
+-0.00029504
+-0.00199848
+-0.0022526
+-0.0017251
+-0.000159203
+0.00167901
+0.00331359
+0.00527982
+0.00737029
+0.00950601
+0.0116621
+0.0138291
+0.0160026
+0.0181517
+0.0202553
+0.0223502
+0.024462
+0.026501
+0.0285558
+0.0303274
+0.0316131
+0.0329942
+0.0344593
+0.0359982
+0.0376018
+0.039051
+0.0400122
+0.0410471
+0.042169
+0.0422085
+0.042267
+0.0424348
+0.0426927
+0.0430421
+0.0434991
+0.0440605
+0.0447064
+0.0454214
+0.046151
+0.0469716
+0.0478784
+0.0488666
+0.0498934
+0.0506874
+0.0511369
+0.051592
+0.0521352
+0.0527639
+0.0534454
+0.0539959
+0.0546166
+0.0553141
+0.0560886
+0.0569217
+0.057823
+0.0621295
+0.0608006
+0.0595227
+0.0582991
+0.0571334
+0.0560291
+0.0549888
+0.0540019
+0.0530871
+0.0522482
+0.0514889
+0.0508127
+0.0502231
+0.0497231
+0.0493155
+0.0489331
+0.048206
+0.0475617
+0.0466747
+0.04482
+0.042997
+0.0412031
+0.0394449
+0.0377319
+0.0360706
+0.0344686
+0.0329344
+0.031478
+0.0301106
+0.028845
+0.0276951
+0.0266461
+0.0257357
+0.0246221
+0.0224605
+0.0203052
+0.0181501
+0.0159744
+0.0138034
+0.0116399
+0.00948888
+0.00736124
+0.00528539
+0.00334958
+0.00132523
+-0.000783583
+-0.00288295
+-0.00429673
+-0.0027519
+-0.000716812
+0.000965858
+0.00294591
+0.00505413
+0.00721034
+0.00938254
+0.0114116
+0.0134766
+0.0155759
+0.0176974
+0.0198339
+0.0219811
+0.0241161
+0.0260975
+0.0273004
+0.0285542
+0.0299162
+0.0313721
+0.0329095
+0.0345175
+0.0361868
+0.0373437
+0.038341
+0.0394182
+0.0405852
+0.0411412
+0.0412012
+0.0413758
+0.0416294
+0.0419877
+0.0424561
+0.043031
+0.043693
+0.0444243
+0.0451701
+0.0460081
+0.0469335
+0.0478735
+0.0488841
+0.0495337
+0.049937
+0.050403
+0.0509589
+0.0516019
+0.0522901
+0.0528478
+0.0534787
+0.0541745
+0.0549464
+0.0557937
+0.0567095
+0.061119
+0.0597677
+0.0584672
+0.057221
+0.0560329
+0.0549064
+0.0538456
+0.0528507
+0.0519156
+0.0510575
+0.0502802
+0.0495876
+0.0489832
+0.0484704
+0.0480521
+0.0477308
+0.047187
+0.0465289
+0.0459654
+0.0454558
+0.0438751
+0.0421144
+0.0403958
+0.0387249
+0.0371082
+0.0355529
+0.0340676
+0.0326617
+0.0313461
+0.0301324
+0.0290318
+0.0280287
+0.0268201
+0.0246552
+0.0224737
+0.0202942
+0.0181174
+0.0159444
+0.0137771
+0.0116184
+0.00947454
+0.00734932
+0.00522939
+0.0031678
+0.00104807
+-0.00105552
+-0.0024574
+-0.00356113
+-0.00242961
+-0.000715132
+0.000980422
+0.00303485
+0.00499687
+0.00697509
+0.00899155
+0.0110744
+0.0131922
+0.0153306
+0.0174818
+0.0196293
+0.0217052
+0.0230296
+0.0242874
+0.0255049
+0.0268427
+0.0282872
+0.0298227
+0.031436
+0.0331157
+0.0347463
+0.0356893
+0.0367228
+0.0378461
+0.0390601
+0.0401581
+0.0402187
+0.0403768
+0.040651
+0.0410232
+0.0415025
+0.0420905
+0.0427679
+0.0434781
+0.0442582
+0.0450997
+0.0459627
+0.0469121
+0.047943
+0.0483946
+0.048797
+0.0492737
+0.0498422
+0.0504994
+0.0512026
+0.0517461
+0.0523708
+0.0530785
+0.0538662
+0.0547136
+0.055634
+0.0601297
+0.0587962
+0.0574743
+0.0562067
+0.0549972
+0.0538496
+0.0527675
+0.0517555
+0.0508117
+0.0499345
+0.0491395
+0.0484306
+0.0478116
+0.0472861
+0.0468572
+0.0465277
+0.0462341
+0.0455777
+0.0450024
+0.0444666
+0.0440317
+0.0431179
+0.0414409
+0.0398139
+0.0382432
+0.036736
+0.0353005
+0.0339457
+0.0326818
+0.0315196
+0.0304462
+0.0291527
+0.0269791
+0.0248085
+0.0226418
+0.0204802
+0.0183256
+0.0161805
+0.0140496
+0.0119404
+0.00986669
+0.00785674
+0.00582006
+0.00378616
+0.00201723
+0.000465483
+-0.000581786
+-0.00154999
+-0.00143372
+-0.00072971
+0.00108475
+0.00305166
+0.00501332
+0.00700431
+0.00908757
+0.011165
+0.0132684
+0.015337
+0.0173733
+0.0187072
+0.019971
+0.0212873
+0.0224689
+0.0237758
+0.0252056
+0.0267386
+0.0283581
+0.0300501
+0.0318031
+0.0330994
+0.0340879
+0.0351667
+0.0363381
+0.0376008
+0.0389458
+0.0393103
+0.039472
+0.0397525
+0.0401507
+0.0406448
+0.0412435
+0.0418754
+0.0425739
+0.0433706
+0.0441856
+0.0450661
+0.0460341
+0.0469783
+0.0473296
+0.0477303
+0.0482175
+0.0487983
+0.0494657
+0.0501426
+0.0506924
+0.0513299
+0.0520384
+0.052824
+0.0536875
+0.0546252
+0.059059
+0.0577561
+0.0565007
+0.0552449
+0.0540138
+0.0528449
+0.0517424
+0.0507106
+0.049746
+0.0488562
+0.0480466
+0.0473213
+0.0466877
+0.0461494
+0.0457098
+0.0453719
+0.0451214
+0.0447002
+0.044091
+0.0435637
+0.0431212
+0.042785
+0.0425465
+0.0409911
+0.0394672
+0.0380086
+0.036623
+0.0353191
+0.0341061
+0.0329777
+0.0316017
+0.0294459
+0.0272957
+0.0251525
+0.0230181
+0.0208955
+0.0187885
+0.0167031
+0.0146484
+0.0126394
+0.0106461
+0.00863793
+0.00674441
+0.00504048
+0.00351657
+0.0022045
+0.000733459
+0.000493895
+-0.00013711
+0.00027985
+0.00216656
+0.00393813
+0.005782
+0.0076692
+0.00960939
+0.0115002
+0.0133608
+0.0144016
+0.0156813
+0.0169268
+0.018234
+0.0194525
+0.020718
+0.0221285
+0.0236581
+0.0252851
+0.026992
+0.0287645
+0.0304233
+0.0315155
+0.0325522
+0.0336812
+0.0349025
+0.0362153
+0.0376099
+0.0384968
+0.0386604
+0.0389467
+0.0393531
+0.0398758
+0.0404229
+0.0410303
+0.0417439
+0.0425503
+0.0433534
+0.0442504
+0.0452358
+0.0459849
+0.0463381
+0.0467372
+0.0472347
+0.0478275
+0.0485041
+0.0491408
+0.0497017
+0.0503348
+0.0510526
+0.0518531
+0.0527325
+0.0536806
+0.0580511
+0.0567252
+0.0554541
+0.054236
+0.0530691
+0.0519132
+0.0507905
+0.049739
+0.0487551
+0.0478469
+0.04702
+0.0462786
+0.0456304
+0.0450795
+0.0446294
+0.0442833
+0.0440266
+0.0438737
+0.0432713
+0.0427338
+0.0423031
+0.0419618
+0.0417234
+0.0415848
+0.0407723
+0.0393621
+0.0380259
+0.0367717
+0.035599
+0.0341563
+0.0320226
+0.0298972
+0.0277819
+0.0256793
+0.0235927
+0.0215268
+0.0194882
+0.0174864
+0.0155176
+0.0135231
+0.0115996
+0.00976219
+0.0079855
+0.00645455
+0.00506913
+0.00381885
+0.00263876
+0.00199864
+0.00187778
+0.00221623
+0.00322922
+0.0047468
+0.00661525
+0.0085863
+0.0101
+0.0106228
+0.0114954
+0.0126902
+0.0139064
+0.0151576
+0.016457
+0.0176744
+0.0190583
+0.0205829
+0.0222191
+0.0239441
+0.02574
+0.0275634
+0.0288389
+0.0300081
+0.0310951
+0.0322762
+0.0335487
+0.0349124
+0.036357
+0.0377524
+0.0379192
+0.038211
+0.0385992
+0.0390608
+0.0395723
+0.0401925
+0.0409208
+0.0417245
+0.0425431
+0.0434569
+0.0444599
+0.0450762
+0.045416
+0.0458232
+0.0463305
+0.0469346
+0.047624
+0.0482146
+0.0487686
+0.0494121
+0.0501431
+0.0509579
+0.0518459
+0.0527988
+0.0571026
+0.0557543
+0.0544609
+0.0532262
+0.0520544
+0.0509347
+0.0498832
+0.0488457
+0.0478441
+0.0469183
+0.0460746
+0.0453178
+0.0446557
+0.0440926
+0.0436324
+0.0432782
+0.0430156
+0.0428591
+0.0425487
+0.042002
+0.0415637
+0.041237
+0.0409961
+0.0408551
+0.0408312
+0.0407884
+0.0395005
+0.0382915
+0.0367945
+0.0346847
+0.0325857
+0.0304995
+0.0284291
+0.0263781
+0.0243515
+0.0223558
+0.0204002
+0.0184154
+0.0164805
+0.0146009
+0.0127459
+0.0110148
+0.00946962
+0.00807244
+0.00662608
+0.00505578
+0.00408762
+0.00378144
+0.00388415
+0.00365507
+0.00432586
+0.00558436
+0.00727449
+0.00795123
+0.00810971
+0.00872219
+0.00976604
+0.0109297
+0.0120923
+0.0134941
+0.0146536
+0.0159989
+0.0175158
+0.0191634
+0.020911
+0.0227345
+0.0245058
+0.0260603
+0.0273385
+0.0285892
+0.0297281
+0.0309625
+0.0322868
+0.0337016
+0.035196
+0.0367602
+0.0372901
+0.0375127
+0.037861
+0.0382874
+0.0388047
+0.039437
+0.040163
+0.0409218
+0.0417562
+0.0426868
+0.0437075
+0.0442501
+0.0445825
+0.0449973
+0.0455138
+0.0461286
+0.0468298
+0.0473536
+0.047916
+0.0485708
+0.0493143
+0.0501357
+0.0510265
+0.0519945
+0.056214
+0.054844
+0.0535285
+0.0522718
+0.0510782
+0.0499521
+0.0488984
+0.0479076
+0.046978
+0.0460751
+0.0452158
+0.0444443
+0.043769
+0.0431944
+0.0427244
+0.0423627
+0.0420943
+0.0419344
+0.0418886
+0.0413733
+0.0409283
+0.0405964
+0.0403592
+0.0402315
+0.0402073
+0.0403024
+0.0404344
+0.0394995
+0.037414
+0.0353413
+0.0332837
+0.0312442
+0.0292266
+0.0272357
+0.0252779
+0.0233103
+0.0213694
+0.0194695
+0.0175823
+0.0157737
+0.0140741
+0.0125253
+0.0111237
+0.00938716
+0.00775736
+0.00646782
+0.00574285
+0.00571037
+0.00548512
+0.00540521
+0.00596128
+0.00679201
+0.00640827
+0.00605024
+0.00621013
+0.00697069
+0.00804505
+0.00904937
+0.0104239
+0.0116733
+0.0129579
+0.0144618
+0.016124
+0.0179002
+0.0197411
+0.02146
+0.0230114
+0.0245991
+0.0259364
+0.0272166
+0.0284555
+0.0297523
+0.0311282
+0.0325933
+0.034135
+0.0357347
+0.0366566
+0.036883
+0.0372168
+0.0376214
+0.0381476
+0.0387741
+0.0394581
+0.0402141
+0.0410628
+0.0420088
+0.0430456
+0.0434833
+0.0438428
+0.0442645
+0.0447894
+0.0454141
+0.0461036
+0.0465782
+0.0471498
+0.0478151
+0.0485631
+0.0493852
+0.0502893
+0.0512712
+0.0553901
+0.0540072
+0.0526708
+0.0513931
+0.0501786
+0.0490319
+0.0479579
+0.0469561
+0.0460188
+0.0451513
+0.0443752
+0.0436634
+0.0429758
+0.0423904
+0.0419115
+0.0415427
+0.041269
+0.0410855
+0.0410161
+0.0408357
+0.0404018
+0.0400656
+0.0398252
+0.0397034
+0.0396947
+0.0397909
+0.0400071
+0.0401209
+0.0381495
+0.036119
+0.0341084
+0.0321213
+0.0301624
+0.0282064
+0.0262619
+0.0243501
+0.0224457
+0.0205982
+0.0188244
+0.0171474
+0.0155974
+0.0140491
+0.0122879
+0.0106765
+0.00927613
+0.00822816
+0.00766026
+0.00764269
+0.0072734
+0.00730479
+0.00701947
+0.00595262
+0.00505066
+0.00430879
+0.00449999
+0.00538358
+0.00606254
+0.00734321
+0.00874974
+0.00995211
+0.0114317
+0.0131119
+0.0149168
+0.0167856
+0.0184315
+0.0199776
+0.0216308
+0.0231766
+0.0246384
+0.0259217
+0.0272196
+0.0286184
+0.0300699
+0.0315842
+0.0331581
+0.0347606
+0.0361349
+0.0363646
+0.0366623
+0.0370729
+0.0375898
+0.0381694
+0.0388509
+0.0396078
+0.0404693
+0.0414288
+0.0424098
+0.0428151
+0.0432001
+0.0436295
+0.044162
+0.0447954
+0.0454126
+0.0458943
+0.0464744
+0.0471419
+0.0478882
+0.0487216
+0.0496379
+0.0506324
+0.0546156
+0.0532218
+0.0518831
+0.0505941
+0.0493599
+0.0481938
+0.0471007
+0.04608
+0.0451309
+0.0442461
+0.0434537
+0.042759
+0.0421635
+0.0416559
+0.0411991
+0.0408079
+0.0405017
+0.0403125
+0.0402417
+0.0402902
+0.0399714
+0.0396387
+0.0394059
+0.0392828
+0.0392817
+0.0393948
+0.0396132
+0.0399506
+0.0389944
+0.0370102
+0.0350507
+0.0331033
+0.0311564
+0.0292367
+0.0273216
+0.0254509
+0.0236353
+0.0218885
+0.0202282
+0.0186768
+0.0169951
+0.0152594
+0.0136552
+0.0122253
+0.0110234
+0.0101573
+0.00969011
+0.00942257
+0.00919869
+0.00806519
+0.00683629
+0.00559581
+0.00400747
+0.00304281
+0.0032479
+0.00325772
+0.00428767
+0.00590833
+0.00702462
+0.00845108
+0.0101519
+0.011973
+0.0138925
+0.0154307
+0.016967
+0.0186319
+0.0202617
+0.0218619
+0.023432
+0.0247533
+0.0261017
+0.0275531
+0.0290972
+0.0306456
+0.0322241
+0.0338709
+0.0355763
+0.0359455
+0.036232
+0.0366114
+0.0370953
+0.0376825
+0.0383484
+0.0391151
+0.0399872
+0.0409135
+0.0415785
+0.0422499
+0.0426401
+0.0430966
+0.0436356
+0.0442766
+0.0448182
+0.0453062
+0.0458861
+0.0465495
+0.0473052
+0.0481487
+0.0490757
+0.0500813
+0.053919
+0.0525067
+0.0511493
+0.0498512
+0.0486172
+0.0474421
+0.0463312
+0.045293
+0.0443273
+0.0434261
+0.0426185
+0.04191
+0.0413056
+0.0408066
+0.0404008
+0.0401107
+0.0398378
+0.0396453
+0.0395734
+0.0396227
+0.0395976
+0.0393135
+0.0390937
+0.038981
+0.0389799
+0.0391017
+0.0393374
+0.0396772
+0.0399416
+0.0380006
+0.0360519
+0.0341268
+0.0322044
+0.0303184
+0.0284761
+0.0266865
+0.0249609
+0.023219
+0.0215319
+0.0199411
+0.0182731
+0.016671
+0.0152163
+0.0139472
+0.0129066
+0.0121753
+0.011652
+0.0103055
+0.00880033
+0.00725725
+0.00563739
+0.00447863
+0.00377636
+0.00270848
+0.00128987
+0.00135677
+0.00292878
+0.00427734
+0.00556629
+0.00723833
+0.0090851
+0.0109372
+0.0124773
+0.0139946
+0.0156692
+0.0173443
+0.0190183
+0.0206962
+0.0223756
+0.0237181
+0.0251163
+0.0266215
+0.0282166
+0.029794
+0.0314154
+0.0331024
+0.0348455
+0.03559
+0.0358677
+0.0362361
+0.0367207
+0.0373044
+0.0379659
+0.0387401
+0.0395866
+0.0401719
+0.0408479
+0.0416283
+0.0421866
+0.0426697
+0.043214
+0.0438528
+0.0443241
+0.0448097
+0.0453832
+0.0460538
+0.0468175
+0.0476697
+0.0486058
+0.0496209
+0.05329
+0.0518743
+0.0504999
+0.0491847
+0.0479336
+0.0467516
+0.0456384
+0.0445902
+0.043619
+0.0427028
+0.0418813
+0.0411601
+0.0405446
+0.0400396
+0.0396458
+0.0393502
+0.039175
+0.0390675
+0.0389945
+0.0390445
+0.039217
+0.039061
+0.0388876
+0.0387893
+0.0387996
+0.0389219
+0.0391613
+0.0395026
+0.0399613
+0.0390189
+0.0370913
+0.0351945
+0.0333338
+0.0314724
+0.0296312
+0.0278406
+0.026091
+0.0244058
+0.0228067
+0.0213109
+0.0197123
+0.0182371
+0.0169176
+0.0157857
+0.0148655
+0.0135872
+0.012045
+0.0103247
+0.00851642
+0.00657303
+0.00482638
+0.0034695
+0.0029818
+0.00198379
+0.000270714
+0.00039607
+0.00177425
+0.00289516
+0.00447044
+0.00613938
+0.00799439
+0.0095984
+0.0110913
+0.0127708
+0.0144964
+0.0161591
+0.0179355
+0.0197058
+0.0214667
+0.0228402
+0.0242889
+0.0258392
+0.0274714
+0.0290828
+0.0307417
+0.0324638
+0.0342394
+0.035352
+0.035608
+0.0359534
+0.0364275
+0.0370254
+0.0376957
+0.0384029
+0.0389352
+0.0395344
+0.0402234
+0.0410158
+0.0418429
+0.0423504
+0.0429003
+0.0435343
+0.0439258
+0.0444028
+0.0449814
+0.045658
+0.0464282
+0.0472874
+0.0482309
+0.0492538
+0.0527229
+0.0512958
+0.0499241
+0.0486023
+0.0473358
+0.0461385
+0.0450161
+0.0439688
+0.0429845
+0.0420766
+0.0412474
+0.0405149
+0.0398895
+0.0393761
+0.0389758
+0.0386751
+0.0384968
+0.0384428
+0.0385135
+0.0385809
+0.0387555
+0.0389092
+0.0387563
+0.0387057
+0.038731
+0.0388651
+0.0391048
+0.0394466
+0.0399059
+0.0396642
+0.0381261
+0.0362257
+0.0343598
+0.0325345
+0.0307546
+0.0290096
+0.0273287
+0.0257248
+0.0242129
+0.0227401
+0.0212424
+0.019871
+0.0186499
+0.0172835
+0.0158035
+0.0140613
+0.0122133
+0.010498
+0.00847446
+0.00651857
+0.00475901
+0.00343599
+0.00161979
+0.000491649
+9.78101e-06
+-0.000325021
+0.00053026
+0.00172363
+0.00326457
+0.00504102
+0.00668173
+0.00826384
+0.00997757
+0.0116802
+0.0134064
+0.0151888
+0.0168747
+0.0185216
+0.02027
+0.0220933
+0.0236215
+0.025207
+0.0268776
+0.0285226
+0.0302123
+0.0319629
+0.0337209
+0.0352272
+0.0354412
+0.0357882
+0.0362645
+0.0367682
+0.0373647
+0.0378858
+0.0383571
+0.0389415
+0.0396384
+0.0404422
+0.0413466
+0.0421222
+0.0426909
+0.0432376
+0.0436208
+0.044101
+0.0446836
+0.0453647
+0.0461397
+0.0470042
+0.0479533
+0.048982
+0.0522416
+0.050801
+0.0494155
+0.0480899
+0.0468264
+0.0456158
+0.0444802
+0.0434255
+0.0424365
+0.0415166
+0.0406939
+0.0399746
+0.0393456
+0.038825
+0.038419
+0.0381139
+0.037933
+0.0378781
+0.0379498
+0.0381475
+0.0384135
+0.038713
+0.0387274
+0.038698
+0.0387712
+0.03892
+0.0391709
+0.0395121
+0.0399134
+0.0393301
+0.0388546
+0.037281
+0.0354707
+0.0336959
+0.031962
+0.0302865
+0.0286806
+0.0271132
+0.0254941
+0.0239661
+0.0225476
+0.0212594
+0.0198116
+0.0177703
+0.0157497
+0.0137804
+0.0118888
+0.0101186
+0.00834891
+0.00664041
+0.00496458
+0.00304452
+0.0011578
+-0.000302439
+-0.00114931
+-0.00202793
+-0.00116864
+0.000625013
+0.00204068
+0.00367711
+0.00538611
+0.00708849
+0.00897561
+0.0107839
+0.0124364
+0.0139578
+0.0156051
+0.017367
+0.0192161
+0.0211305
+0.0230942
+0.0247531
+0.0264524
+0.0281191
+0.029809
+0.0315003
+0.0332436
+0.0350372
+0.0354094
+0.0357213
+0.0360837
+0.0365603
+0.0369899
+0.0373424
+0.0378157
+0.0384083
+0.0391148
+0.0399291
+0.0408449
+0.0418553
+0.0425897
+0.0430334
+0.0434098
+0.0438923
+0.0444777
+0.0451618
+0.0459403
+0.0468084
+0.0477614
+0.0487941
+0.0518484
+0.0503966
+0.0489997
+0.0476626
+0.0463903
+0.0451789
+0.0440429
+0.0429816
+0.0419958
+0.041066
+0.0402341
+0.0395064
+0.0388831
+0.038371
+0.0379785
+0.0376719
+0.0374888
+0.0374333
+0.0375059
+0.0377059
+0.038016
+0.0384395
+0.038773
+0.038793
+0.0388873
+0.0390831
+0.0393519
+0.0396986
+0.0397025
+0.0391161
+0.0386379
+0.0382793
+0.0366613
+0.0349385
+0.0332699
+0.0316111
+0.0299442
+0.0283175
+0.0267713
+0.0253205
+0.0239822
+0.02192
+0.0198564
+0.0178203
+0.015806
+0.0138447
+0.0119633
+0.0100699
+0.00813599
+0.00637064
+0.00454503
+0.00241681
+0.000581412
+-0.00103114
+-0.00252565
+-0.00377031
+-0.00239695
+-0.00076732
+0.000691222
+0.00257424
+0.00447198
+0.00613438
+0.00781775
+0.00949975
+0.0111392
+0.0127712
+0.0145448
+0.0164194
+0.0183641
+0.0203589
+0.0223903
+0.0244492
+0.0261266
+0.0277683
+0.0294315
+0.0311429
+0.0329052
+0.0347163
+0.0354089
+0.0356312
+0.0359806
+0.036335
+0.0365629
+0.0369163
+0.037395
+0.0379942
+0.0387083
+0.039531
+0.0404557
+0.0414685
+0.0425551
+0.0429245
+0.0433018
+0.0437855
+0.0443723
+0.045058
+0.0458383
+0.0467083
+0.0476633
+0.0486981
+0.0515196
+0.0500768
+0.048679
+0.0473328
+0.0460515
+0.0448309
+0.0436859
+0.0426227
+0.0416477
+0.0407194
+0.0398803
+0.039146
+0.0385224
+0.0380095
+0.0376132
+0.0373415
+0.0371687
+0.0371127
+0.0371859
+0.0373876
+0.0377004
+0.0381274
+0.038652
+0.0390054
+0.0391047
+0.0393205
+0.0396353
+0.0399974
+0.0395798
+0.039024
+0.0385447
+0.0381852
+0.0378867
+0.0361364
+0.0344338
+0.032787
+0.0311931
+0.029635
+0.0281612
+0.0263265
+0.024242
+0.022178
+0.0201408
+0.0181269
+0.0161416
+0.0142169
+0.0123026
+0.0103222
+0.00844633
+0.00673553
+0.00463715
+0.00259564
+0.000604504
+-0.00151047
+-0.00365189
+-0.00544786
+-0.00367286
+-0.00179461
+-4.36798e-05
+0.00169605
+0.00326738
+0.00495633
+0.00669594
+0.00848041
+0.0100914
+0.0118611
+0.0137526
+0.0157219
+0.0177433
+0.0197967
+0.0218723
+0.0239685
+0.0259171
+0.0275364
+0.0291902
+0.0309086
+0.0326835
+0.0345063
+0.0354173
+0.0356344
+0.0359363
+0.0360337
+0.0362602
+0.0366166
+0.0370992
+0.037703
+0.0384225
+0.0392512
+0.040175
+0.0411793
+0.0422734
+0.0429272
+0.0433045
+0.0437882
+0.0443749
+0.0450606
+0.0458408
+0.0467108
+0.0476657
+0.0487005
+0.051254
+0.0498035
+0.0484086
+0.0470745
+0.0457983
+0.0445752
+0.0434282
+0.0423635
+0.041386
+0.040474
+0.0396382
+0.0388993
+0.0382717
+0.0377609
+0.0373717
+0.0370995
+0.0369541
+0.0369196
+0.0369932
+0.0371959
+0.0375102
+0.0379394
+0.0384665
+0.0391075
+0.0394427
+0.0396568
+0.0399897
+0.0399094
+0.039315
+0.0388352
+0.0384744
+0.0382028
+0.0379807
+0.0372841
+0.0356341
+0.0340451
+0.0325108
+0.0307883
+0.0287934
+0.0267218
+0.0246708
+0.0226442
+0.0206309
+0.0186548
+0.0167323
+0.0148353
+0.0128592
+0.0108929
+0.00875974
+0.00660742
+0.00448414
+0.00235746
+0.000238418
+-0.00190391
+-0.00403623
+-0.00616564
+-0.00476422
+-0.00297282
+-0.00108551
+0.000717425
+0.00256372
+0.00425986
+0.00606017
+0.00768057
+0.00939375
+0.0112735
+0.0132491
+0.0152782
+0.0173412
+0.0194321
+0.0215429
+0.0236683
+0.0258045
+0.0274477
+0.0291041
+0.0308273
+0.0326067
+0.0344335
+0.0355559
+0.0357009
+0.0357393
+0.0358379
+0.0360657
+0.036424
+0.0369091
+0.037516
+0.038239
+0.0390716
+0.0399966
+0.0410053
+0.0421039
+0.0430416
+0.0434178
+0.0439003
+0.0444855
+0.0451695
+0.0459479
+0.0468159
+0.0477687
+0.0488013
+0.0510811
+0.0496255
+0.0482255
+0.0468861
+0.0456127
+0.0444058
+0.0432599
+0.0421967
+0.0412181
+0.0403009
+0.0394764
+0.0387576
+0.0381355
+0.0376297
+0.0372423
+0.0369777
+0.03684
+0.0368241
+0.0369068
+0.03711
+0.0374404
+0.0378774
+0.0384054
+0.0390473
+0.0397513
+0.0401099
+0.0404201
+0.0397127
+0.0391152
+0.038633
+0.0382702
+0.0380193
+0.0378556
+0.0378184
+0.0369225
+0.0353055
+0.0334072
+0.0313726
+0.0293195
+0.0272879
+0.0252672
+0.0232724
+0.0212645
+0.0191848
+0.0171231
+0.0150964
+0.0130008
+0.0108645
+0.00875516
+0.00666906
+0.00449419
+0.00234294
+0.000162702
+-0.00197501
+-0.00412565
+-0.00630154
+-0.00584844
+-0.0038535
+-0.00196466
+1.76519e-05
+0.00186196
+0.00354795
+0.00534799
+0.00726137
+0.00914003
+0.011063
+0.0130705
+0.0151235
+0.0172051
+0.0193108
+0.0214335
+0.0235687
+0.0256643
+0.0275311
+0.0291828
+0.0309016
+0.032316
+0.0336378
+0.0350449
+0.0355932
+0.0356318
+0.0357723
+0.0360004
+0.0363594
+0.0368453
+0.0374533
+0.0381775
+0.0390114
+0.0399378
+0.0409479
+0.042048
+0.0432312
+0.043641
+0.0441211
+0.0447034
+0.0453841
+0.0461589
+0.047023
+0.0479717
+0.049
+0.0510017
+0.0495438
+0.0481415
+0.0467997
+0.0455238
+0.0443195
+0.0431877
+0.0421227
+0.0411469
+0.0402464
+0.0394208
+0.0387018
+0.0380953
+0.037596
+0.037212
+0.0369487
+0.0368126
+0.0368066
+0.0369235
+0.0371509
+0.037481
+0.0379215
+0.038469
+0.0391099
+0.0398611
+0.0405777
+0.0403428
+0.039634
+0.0390354
+0.0385521
+0.0381886
+0.0379482
+0.0377976
+0.0377604
+0.03785
+0.036089
+0.0340384
+0.0319803
+0.0299219
+0.0278619
+0.0257739
+0.0237044
+0.0216443
+0.0195576
+0.0173948
+0.0152401
+0.0130973
+0.0109734
+0.00888196
+0.00680239
+0.00462011
+0.00245275
+0.000311211
+-0.00184849
+-0.00400311
+-0.0060778
+-0.00545992
+-0.00394146
+-0.00221933
+-0.000288271
+0.00157
+0.00344663
+0.00532432
+0.00727325
+0.0092188
+0.0112323
+0.0132564
+0.0152845
+0.0172926
+0.0192779
+0.0212981
+0.0233491
+0.0254234
+0.0274419
+0.0288531
+0.0302529
+0.0315288
+0.0328825
+0.0343229
+0.0356098
+0.0356483
+0.0357991
+0.0360684
+0.0364267
+0.0369117
+0.0375186
+0.0382415
+0.0390741
+0.039999
+0.0410076
+0.0421062
+0.0432878
+0.0439723
+0.0444488
+0.0450269
+0.0457028
+0.0464722
+0.0473307
+0.0482733
+0.0492953
+0.0510004
+0.0495495
+0.0481545
+0.0468149
+0.0455395
+0.0443357
+0.0432094
+0.0421504
+0.0411752
+0.0402956
+0.0394868
+0.038769
+0.0381636
+0.037676
+0.0373069
+0.0370443
+0.0369085
+0.0369025
+0.0370191
+0.037255
+0.0376173
+0.0380878
+0.0386349
+0.0392788
+0.0400268
+0.0408786
+0.0403587
+0.0396735
+0.0390783
+0.0385956
+0.0382325
+0.0379924
+0.0378665
+0.0378293
+0.0379188
+0.036626
+0.0345657
+0.0324898
+0.0304039
+0.0283338
+0.026273
+0.0241228
+0.0219726
+0.0198312
+0.017702
+0.0155897
+0.0135017
+0.0113728
+0.00922105
+0.00709324
+0.00498332
+0.0028202
+0.000721325
+-0.00133535
+-0.00315461
+-0.00417461
+-0.00415941
+-0.00309634
+-0.0017668
+-4.10164e-05
+0.00172642
+0.00351118
+0.005313
+0.00720168
+0.00915328
+0.0111627
+0.0132252
+0.0151581
+0.0171209
+0.0191333
+0.0211605
+0.0232092
+0.0252817
+0.0267849
+0.028214
+0.0295457
+0.0308684
+0.03225
+0.0337173
+0.0351779
+0.035561
+0.0357173
+0.0359974
+0.0364074
+0.0369326
+0.0375776
+0.0383241
+0.0391785
+0.0401344
+0.041184
+0.042278
+0.0434419
+0.0444094
+0.0448812
+0.0454538
+0.0461235
+0.046886
+0.047737
+0.0486717
+0.049618
+0.0510728
+0.0496239
+0.0482311
+0.0468937
+0.0456205
+0.0444188
+0.0432947
+0.0422544
+0.0413042
+0.0404331
+0.0396582
+0.0389595
+0.0383571
+0.037872
+0.0375088
+0.0372566
+0.0371216
+0.0371156
+0.0372387
+0.037478
+0.0378381
+0.0383203
+0.0389199
+0.0395608
+0.0403036
+0.0411496
+0.0404501
+0.0397664
+0.0391935
+0.0387361
+0.0383985
+0.0381626
+0.0380484
+0.0380245
+0.0381136
+0.0371871
+0.0351069
+0.033041
+0.030939
+0.0287978
+0.0266646
+0.0245415
+0.0224315
+0.0203311
+0.0182434
+0.0161156
+0.0140073
+0.0118862
+0.00971264
+0.00754907
+0.00540737
+0.0033274
+0.00144081
+-0.000175729
+-0.00171653
+-0.00219281
+-0.00228674
+-0.00174511
+-0.000667767
+0.00065663
+0.00202718
+0.00377223
+0.00561281
+0.00746787
+0.00943902
+0.0114071
+0.0133142
+0.0152775
+0.0172217
+0.0191909
+0.0212036
+0.0232485
+0.0249153
+0.0262881
+0.0276445
+0.0289562
+0.0303396
+0.0317281
+0.0331385
+0.0345996
+0.0355081
+0.0356816
+0.0359574
+0.0363566
+0.0368818
+0.0375273
+0.0382747
+0.0391302
+0.0400873
+0.0411292
+0.0422465
+0.0434457
+0.0447201
+0.0454153
+0.0459812
+0.0466428
+0.0473268
+0.0480928
+0.048945
+0.0498789
+0.0512387
+0.0497947
+0.0484068
+0.0470744
+0.0458062
+0.0446096
+0.0434904
+0.0424549
+0.0415092
+0.0406597
+0.0399117
+0.0392253
+0.0386365
+0.038155
+0.0377945
+0.0375585
+0.0374494
+0.0374551
+0.0375771
+0.0378258
+0.0381836
+0.0386614
+0.0392559
+0.0399611
+0.0406965
+0.0414344
+0.0406553
+0.0399793
+0.0394095
+0.0389547
+0.038619
+0.0384055
+0.038316
+0.0383035
+0.0384161
+0.0377857
+0.0356624
+0.0335366
+0.0314197
+0.0293106
+0.0272086
+0.0251217
+0.0230117
+0.0208471
+0.0186886
+0.0165386
+0.0144008
+0.0122816
+0.0101928
+0.00815759
+0.00622877
+0.00449149
+0.00271744
+0.00109795
+0.000124293
+-0.000244617
+-0.000480555
+-0.000198252
+0.00047567
+0.00162654
+0.00306426
+0.00463765
+0.00633147
+0.00807973
+0.00994681
+0.0117253
+0.0135698
+0.0155046
+0.0174999
+0.0193794
+0.0212437
+0.0231652
+0.0245667
+0.0259029
+0.0271754
+0.0285087
+0.029872
+0.0312651
+0.0326631
+0.0341369
+0.0355903
+0.0357633
+0.0360385
+0.0364368
+0.0369508
+0.0375818
+0.0383277
+0.039182
+0.0401379
+0.0411776
+0.0422937
+0.0434915
+0.0447646
+0.0459663
+0.046454
+0.0470306
+0.0476952
+0.0484171
+0.0492259
+0.0501175
+0.0514974
+0.0500609
+0.0486798
+0.0473556
+0.0460954
+0.0449065
+0.0437949
+0.0427667
+0.0418281
+0.0409853
+0.0402436
+0.0395629
+0.0389936
+0.0385406
+0.0381932
+0.0379597
+0.0378517
+0.0378704
+0.0380155
+0.0382846
+0.0386504
+0.0391225
+0.03971
+0.0404079
+0.0412024
+0.0417317
+0.0409582
+0.0402891
+0.0397294
+0.0392783
+0.0389453
+0.0387335
+0.038645
+0.0386729
+0.0387844
+0.0383147
+0.0362056
+0.0341063
+0.0319864
+0.0298353
+0.0276904
+0.0255532
+0.0234242
+0.0213016
+0.0191943
+0.0171079
+0.0150512
+0.0130382
+0.0110928
+0.00925756
+0.00751962
+0.00569608
+0.00408066
+0.00282382
+0.00212612
+0.00155649
+0.00130678
+0.0014505
+0.00205475
+0.00283852
+0.00399027
+0.00544514
+0.00714322
+0.00882115
+0.0105684
+0.012259
+0.0140759
+0.0158625
+0.0175544
+0.0193466
+0.0212138
+0.0231119
+0.0243417
+0.0256463
+0.0268756
+0.0281941
+0.0295382
+0.0309163
+0.0323294
+0.0335452
+0.0347809
+0.0359786
+0.0362449
+0.0366268
+0.0371342
+0.037762
+0.0385045
+0.039355
+0.0403068
+0.0413422
+0.0424539
+0.0436474
+0.0449161
+0.0462538
+0.0468327
+0.0473655
+0.0479837
+0.0486632
+0.0494305
+0.0502816
+0.0514186
+0.0504063
+0.0490314
+0.0477174
+0.0464697
+0.0452936
+0.0441948
+0.0431788
+0.0422493
+0.041415
+0.0406817
+0.0400178
+0.0394551
+0.0390074
+0.0386788
+0.0384724
+0.0383689
+0.0383874
+0.0385305
+0.0387971
+0.0391668
+0.0396483
+0.0402434
+0.0409442
+0.0417291
+0.042141
+0.0413751
+0.0407116
+0.0401521
+0.0397057
+0.0393764
+0.0391669
+0.0390794
+0.0391145
+0.039266
+0.0388386
+0.0366968
+0.0345612
+0.0324328
+0.0303134
+0.0282048
+0.0261097
+0.0240302
+0.0219662
+0.0199292
+0.0179286
+0.0159779
+0.0140978
+0.0123098
+0.0104608
+0.00871249
+0.00710431
+0.00575787
+0.00476662
+0.00382512
+0.00326236
+0.00308964
+0.00317567
+0.00366731
+0.00446132
+0.00536281
+0.00649516
+0.007859
+0.00939777
+0.0110135
+0.0127635
+0.0144592
+0.0160849
+0.0177644
+0.0195453
+0.0214025
+0.0230511
+0.024284
+0.0254878
+0.0267197
+0.028012
+0.0291653
+0.0301967
+0.0313474
+0.0325478
+0.0338199
+0.0351826
+0.0365351
+0.0369307
+0.037434
+0.0380569
+0.0387937
+0.039638
+0.0405831
+0.0416211
+0.0427256
+0.0439117
+0.045173
+0.0465033
+0.0471495
+0.0476398
+0.0482247
+0.0488969
+0.0496043
+0.0503712
+0.051304
+0.0508138
+0.0494772
+0.0481755
+0.0469399
+0.0457747
+0.0446848
+0.0436776
+0.042759
+0.0419348
+0.0412107
+0.0405785
+0.0400237
+0.0395824
+0.0392587
+0.0390553
+0.0389742
+0.0390028
+0.0391438
+0.0394062
+0.0397876
+0.0402675
+0.0408537
+0.0415472
+0.0423428
+0.0426364
+0.041874
+0.041214
+0.0406614
+0.0402208
+0.0398957
+0.0396891
+0.0396027
+0.0396374
+0.0397795
+0.0393293
+0.0372157
+0.0351116
+0.0330188
+0.0309395
+0.0288767
+0.0268341
+0.0248153
+0.0228225
+0.0208693
+0.018968
+0.0171008
+0.015232
+0.0134518
+0.0117676
+0.0101695
+0.00876003
+0.00754539
+0.00647058
+0.00557259
+0.00510657
+0.00496427
+0.0049937
+0.00539677
+0.00614477
+0.00699432
+0.00782322
+0.00895066
+0.0102269
+0.0117347
+0.0133339
+0.0148447
+0.0164706
+0.0181401
+0.0197714
+0.0214603
+0.0222107
+0.0230362
+0.0240336
+0.0251826
+0.0264633
+0.0278367
+0.0291813
+0.0303509
+0.0316257
+0.0329766
+0.0343728
+0.0358485
+0.0373056
+0.0378203
+0.0384369
+0.0391666
+0.040003
+0.0409397
+0.04197
+0.0430867
+0.0442631
+0.0455146
+0.0468352
+0.0474738
+0.0479024
+0.048379
+0.0488444
+0.0494026
+0.0500418
+0.0512828
+0.0507924
+0.0500152
+0.0487261
+0.047502
+0.0463492
+0.045273
+0.0442792
+0.0433734
+0.0425611
+0.041842
+0.0412103
+0.0406868
+0.0402528
+0.0399345
+0.0397346
+0.0396548
+0.039696
+0.0398544
+0.0401122
+0.0404869
+0.0409755
+0.0415706
+0.0422523
+0.0430349
+0.0431975
+0.0424633
+0.0418138
+0.0412693
+0.0408352
+0.0405151
+0.0403116
+0.0402266
+0.0402608
+0.0404007
+0.0399342
+0.0378545
+0.0357879
+0.0337371
+0.0317049
+0.0296953
+0.0277132
+0.0257634
+0.0238499
+0.0219258
+0.020028
+0.0181962
+0.0164505
+0.0147912
+0.0132499
+0.0118044
+0.0104196
+0.00919031
+0.00817194
+0.00745322
+0.00691905
+0.00680429
+0.00673801
+0.0070642
+0.00770189
+0.00857286
+0.00929797
+0.0102312
+0.0113981
+0.0127453
+0.0140255
+0.0154094
+0.0169061
+0.0184276
+0.018986
+0.0195534
+0.0202959
+0.0211961
+0.0222761
+0.0235111
+0.0248686
+0.0263201
+0.0278492
+0.0294619
+0.0307877
+0.0321946
+0.0336852
+0.0351907
+0.036744
+0.0383119
+0.0389367
+0.0396571
+0.0404834
+0.0414093
+0.0424281
+0.0435334
+0.0447185
+0.0459576
+0.0472658
+0.0474998
+0.0477732
+0.0481449
+0.0486125
+0.0491645
+0.0497969
+0.0513551
+0.0508654
+0.0504662
+0.0493634
+0.0481555
+0.0470187
+0.0459583
+0.0449796
+0.0440882
+0.0432893
+0.0425677
+0.041947
+0.0414329
+0.0410293
+0.0407171
+0.040521
+0.0404428
+0.0404832
+0.0406418
+0.0409148
+0.0412826
+0.0417618
+0.0423491
+0.04304
+0.0438257
+0.0438586
+0.0431356
+0.0425043
+0.0419687
+0.041542
+0.0412273
+0.0410274
+0.0409438
+0.0409774
+0.0411278
+0.0406484
+0.0386071
+0.0365831
+0.0345795
+0.0325999
+0.030649
+0.0287306
+0.0267775
+0.024864
+0.0230001
+0.0211987
+0.0194773
+0.0178316
+0.016311
+0.0148709
+0.0133827
+0.0120349
+0.0108754
+0.00998349
+0.00931047
+0.00881037
+0.00854871
+0.00843724
+0.00861405
+0.00909504
+0.009754
+0.0107398
+0.0117413
+0.0127796
+0.0138314
+0.0149136
+0.0161735
+0.016397
+0.0165345
+0.0169378
+0.017561
+0.0184236
+0.0194287
+0.0206015
+0.0218889
+0.0233109
+0.0248321
+0.0264473
+0.0281404
+0.0298983
+0.0315244
+0.0330423
+0.034614
+0.0361833
+0.0377852
+0.0394109
+0.0402585
+0.0410727
+0.0419855
+0.0429907
+0.044082
+0.045253
+0.0464978
+0.0471887
+0.0473627
+0.0476369
+0.0480097
+0.0484697
+0.0490132
+0.0496476
+0.0515205
+0.0510324
+0.0506345
+0.0500769
+0.0488866
+0.0477672
+0.0467238
+0.0457615
+0.0448855
+0.0441011
+0.0433921
+0.0427833
+0.0422793
+0.0418841
+0.0416004
+0.0414086
+0.041332
+0.0413716
+0.0415268
+0.0417964
+0.0421765
+0.0426463
+0.0432216
+0.0438988
+0.0446732
+0.0446175
+0.0439071
+0.043287
+0.0427612
+0.0423424
+0.0420338
+0.0418377
+0.0417558
+0.0417887
+0.0419362
+0.0407592
+0.0390883
+0.0374675
+0.0355371
+0.0335995
+0.0316436
+0.0297205
+0.027837
+0.0260016
+0.0242253
+0.022519
+0.0208804
+0.0193227
+0.0178167
+0.0163045
+0.0149237
+0.0137063
+0.0127003
+0.0118681
+0.011227
+0.0107548
+0.0102804
+0.0100134
+0.0101092
+0.0104273
+0.01105
+0.0119555
+0.0130796
+0.0141301
+0.015035
+0.0149439
+0.0144838
+0.0143077
+0.014465
+0.0149093
+0.0156118
+0.0165761
+0.0177048
+0.0189354
+0.0203282
+0.0218377
+0.0234545
+0.0251583
+0.0269326
+0.0287162
+0.0305243
+0.0322874
+0.0340976
+0.0357458
+0.0373465
+0.0390043
+0.0407071
+0.0417204
+0.0426411
+0.0436372
+0.0447127
+0.0458676
+0.047062
+0.0471347
+0.0473089
+0.0475835
+0.0479566
+0.0484154
+0.0489596
+0.0495946
+0.0517782
+0.0512926
+0.0508967
+0.0505926
+0.0497027
+0.0486021
+0.047577
+0.0466323
+0.045773
+0.0450029
+0.0443081
+0.043712
+0.0432189
+0.0428323
+0.0425551
+0.0423805
+0.0423058
+0.0423444
+0.042496
+0.0427595
+0.0431328
+0.0436029
+0.0441658
+0.0448288
+0.0455876
+0.0454694
+0.0447725
+0.0441646
+0.0436494
+0.0432392
+0.042937
+0.042745
+0.0426649
+0.0426971
+0.0414975
+0.0397525
+0.0380453
+0.0363801
+0.0347711
+0.0332286
+0.0317473
+0.0303368
+0.0290234
+0.027268
+0.0255547
+0.0238908
+0.0223115
+0.0207873
+0.0192745
+0.0178811
+0.0166109
+0.0155076
+0.0145599
+0.0138239
+0.013182
+0.0123712
+0.0118233
+0.0115684
+0.0116309
+0.0118749
+0.0124173
+0.0132452
+0.0143319
+0.0146389
+0.0136888
+0.0129922
+0.012459
+0.0122537
+0.012437
+0.0129315
+0.0137355
+0.01481
+0.0160366
+0.0173858
+0.0188768
+0.020493
+0.0222079
+0.0239926
+0.0257879
+0.0276403
+0.0295144
+0.0313343
+0.0331966
+0.0350929
+0.0370217
+0.0387018
+0.0404229
+0.0421763
+0.0433394
+0.0443348
+0.0454082
+0.0465458
+0.0471081
+0.0471808
+0.0473548
+0.0476291
+0.0480018
+0.0484603
+0.0490039
+0.0496384
+0.0521267
+0.0516444
+0.0512512
+0.0509493
+0.0506005
+0.0495199
+0.0485141
+0.0475881
+0.0467464
+0.0459877
+0.0453079
+0.0447252
+0.0442434
+0.0438658
+0.0435952
+0.04343
+0.0433571
+0.0433947
+0.0435427
+0.0437999
+0.0441644
+0.0446336
+0.0451944
+0.0458425
+0.0465848
+0.0464092
+0.0457266
+0.0451315
+0.0446275
+0.0442264
+0.0439309
+0.0437434
+0.043665
+0.0424496
+0.0406274
+0.0388433
+0.0370942
+0.0353886
+0.0337389
+0.0321471
+0.0306156
+0.0291639
+0.0277951
+0.0265367
+0.0254053
+0.0244079
+0.0235638
+0.0222795
+0.0208609
+0.0195584
+0.0183791
+0.0173412
+0.0164465
+0.0154749
+0.0145344
+0.0138347
+0.0133578
+0.0131146
+0.0130338
+0.0132637
+0.0137269
+0.0144693
+0.0142196
+0.0128903
+0.0118203
+0.0110221
+0.0105009
+0.0102565
+0.0104502
+0.0110215
+0.0119665
+0.0131511
+0.0144933
+0.015968
+0.0175786
+0.0193039
+0.021091
+0.0229042
+0.0247785
+0.026701
+0.0286367
+0.030509
+0.0324187
+0.0343526
+0.0363114
+0.0382483
+0.0398761
+0.0415557
+0.0432809
+0.0450446
+0.0461719
+0.0472849
+0.0472558
+0.0473283
+0.0475018
+0.0477752
+0.0481468
+0.0486039
+0.049146
+0.0497786
+0.0525233
+0.0520667
+0.0516768
+0.0513774
+0.05117
+0.0505161
+0.0495305
+0.0486238
+0.0478004
+0.0470538
+0.0463897
+0.0458207
+0.0453505
+0.0449823
+0.0447184
+0.0445608
+0.0444914
+0.0445281
+0.0446724
+0.0449231
+0.0452786
+0.0457363
+0.0462933
+0.0469366
+0.0476618
+0.0473811
+0.0467061
+0.0461254
+0.0456425
+0.0452534
+0.0449648
+0.0447815
+0.0436014
+0.0417146
+0.0398588
+0.0380386
+0.0362488
+0.0344949
+0.0327935
+0.031142
+0.0295567
+0.0280531
+0.026645
+0.0253423
+0.0241554
+0.0231059
+0.0222124
+0.0215057
+0.0210047
+0.0207029
+0.0202079
+0.0191896
+0.017925
+0.0168408
+0.0159381
+0.0152265
+0.0146304
+0.0143391
+0.014322
+0.0145922
+0.0150231
+0.0143907
+0.0127794
+0.0112969
+0.0100588
+0.00915285
+0.00860434
+0.00830946
+0.00852715
+0.00921841
+0.0103225
+0.011668
+0.0131275
+0.0147395
+0.0164707
+0.0182542
+0.0200846
+0.021981
+0.0239277
+0.0259134
+0.0278807
+0.0298118
+0.0317488
+0.0337166
+0.03529
+0.0369182
+0.0386022
+0.0403348
+0.0421045
+0.043911
+0.045751
+0.0474297
+0.0474033
+0.0474756
+0.0476485
+0.0479211
+0.0482916
+0.0487578
+0.049317
+0.0499661
+0.0529782
+0.052539
+0.0521746
+0.0518781
+0.0516728
+0.0515598
+0.0506214
+0.0497346
+0.0489298
+0.048196
+0.0475478
+0.0469929
+0.0465346
+0.0461758
+0.0459187
+0.0457653
+0.0457027
+0.0457385
+0.0458789
+0.0461231
+0.0464694
+0.0469155
+0.0474586
+0.0480874
+0.0488031
+0.0484054
+0.0477449
+0.0471769
+0.046705
+0.0463223
+0.0460403
+0.0449377
+0.0429979
+0.0410833
+0.0391977
+0.0373313
+0.0354957
+0.0337026
+0.031959
+0.0302606
+0.0286266
+0.0270714
+0.0256093
+0.0242511
+0.023008
+0.0219139
+0.020992
+0.0202541
+0.0197062
+0.0193835
+0.0193056
+0.0194753
+0.0193313
+0.0182339
+0.0172924
+0.0165019
+0.0159536
+0.0156686
+0.0155935
+0.0158243
+0.014749
+0.0129539
+0.0112993
+0.0097949
+0.00849925
+0.0074428
+0.00677553
+0.00650472
+0.00676879
+0.00762124
+0.00886333
+0.0103325
+0.0119543
+0.013735
+0.0155177
+0.0173601
+0.0192756
+0.0212443
+0.0232405
+0.025222
+0.0272356
+0.0292416
+0.0308002
+0.0323578
+0.0339854
+0.0356732
+0.0374108
+0.0391887
+0.0410066
+0.0428593
+0.0447427
+0.0466528
+0.0476153
+0.0476872
+0.0478594
+0.0481307
+0.0484997
+0.0489639
+0.0495208
+0.0501672
+0.0535189
+0.0530842
+0.052737
+0.0524656
+0.0522626
+0.0521509
+0.051782
+0.0509154
+0.0501238
+0.0494038
+0.0487716
+0.0482308
+0.0477843
+0.047435
+0.0471848
+0.0470355
+0.046985
+0.0470197
+0.0471564
+0.047394
+0.047731
+0.0481655
+0.0486947
+0.0493077
+0.0500059
+0.0495055
+0.0488599
+0.048305
+0.0478422
+0.0474683
+0.0464426
+0.0444605
+0.0424952
+0.0405522
+0.0386324
+0.0367313
+0.0348641
+0.0330367
+0.0312561
+0.0295159
+0.0278382
+0.0262363
+0.0247249
+0.0233145
+0.0220186
+0.0208727
+0.0199027
+0.0191281
+0.0185384
+0.018195
+0.0181119
+0.0182927
+0.0187208
+0.0193666
+0.0185277
+0.0177721
+0.0172184
+0.0169229
+0.016887
+0.0157016
+0.013705
+0.0117516
+0.00989796
+0.0082121
+0.00672738
+0.00559737
+0.00489804
+0.00488579
+0.00526418
+0.00626538
+0.00757693
+0.00919327
+0.0109846
+0.0128541
+0.0147039
+0.0166306
+0.0186058
+0.0206246
+0.0226414
+0.024672
+0.0264425
+0.0279123
+0.0294597
+0.0310846
+0.0327754
+0.0345156
+0.0363031
+0.0381327
+0.0399986
+0.041896
+0.0438207
+0.0457694
+0.047739
+0.0479979
+0.048169
+0.0484387
+0.0488053
+0.0492666
+0.0498201
+0.0504627
+0.0541429
+0.0537133
+0.0533702
+0.0531153
+0.0529365
+0.0528263
+0.0528067
+0.0521455
+0.051371
+0.0506687
+0.0500526
+0.0495257
+0.0490911
+0.048751
+0.0485077
+0.0483624
+0.0483162
+0.0483623
+0.0484951
+0.0487262
+0.0490541
+0.0494769
+0.0499922
+0.0505935
+0.0512742
+0.0506765
+0.0500459
+0.0495044
+0.0490505
+0.0480896
+0.0460701
+0.0440669
+0.0420824
+0.0401193
+0.0381685
+0.0362395
+0.0343419
+0.0324812
+0.0306642
+0.028899
+0.0271958
+0.0255569
+0.0239835
+0.0225136
+0.0211688
+0.0199742
+0.0189583
+0.0181151
+0.0174938
+0.017132
+0.0170463
+0.0172172
+0.0176588
+0.018353
+0.0192559
+0.0191396
+0.0186266
+0.0183538
+0.0171089
+0.0149872
+0.0128858
+0.0108198
+0.00881434
+0.00687949
+0.00513513
+0.00371106
+0.00287043
+0.00309329
+0.00411965
+0.00509584
+0.00662746
+0.00840197
+0.0103353
+0.0121809
+0.0141192
+0.0161223
+0.018161
+0.0201976
+0.0222355
+0.0236131
+0.0250624
+0.0265952
+0.0282149
+0.0299075
+0.0316589
+0.0334556
+0.0352968
+0.037176
+0.0390875
+0.0410271
+0.0429907
+0.0449753
+0.0469783
+0.048406
+0.0485756
+0.048843
+0.0492066
+0.0496642
+0.0502133
+0.050851
+0.0548474
+0.0544233
+0.0540847
+0.0538332
+0.05367
+0.0535827
+0.0535635
+0.0534354
+0.0526799
+0.0519953
+0.051395
+0.0508821
+0.0504591
+0.0501284
+0.0498917
+0.0497505
+0.0497055
+0.0497571
+0.0498929
+0.0501176
+0.0504364
+0.0508478
+0.0513493
+0.0519385
+0.0526031
+0.0519135
+0.0512982
+0.05077
+0.0498634
+0.0478256
+0.0457944
+0.0437786
+0.0417793
+0.0397842
+0.0378107
+0.0358625
+0.0339438
+0.0320601
+0.0302176
+0.0284161
+0.026667
+0.0249843
+0.0233725
+0.0218615
+0.0204739
+0.0192362
+0.0181791
+0.0172955
+0.0166437
+0.016263
+0.0161727
+0.0163522
+0.0168165
+0.0175441
+0.0184865
+0.0196181
+0.0201597
+0.0188647
+0.0166903
+0.0145208
+0.0123586
+0.0102084
+0.00807766
+0.00596556
+0.00392536
+0.00206914
+0.000922132
+0.00140264
+0.00300599
+0.00455673
+0.00617542
+0.00800637
+0.00992266
+0.0118795
+0.0138599
+0.0158768
+0.0179185
+0.0195679
+0.0208601
+0.022273
+0.0237838
+0.0253939
+0.0270856
+0.0288445
+0.0306567
+0.0325088
+0.0344007
+0.0363263
+0.0382803
+0.0402587
+0.0422581
+0.0442756
+0.0463088
+0.0483558
+0.0490767
+0.0493414
+0.0497013
+0.0501544
+0.0506983
+0.0513299
+0.0556293
+0.0552112
+0.0548775
+0.0546296
+0.0544688
+0.0543958
+0.054398
+0.0544672
+0.0540459
+0.0533788
+0.0527943
+0.052295
+0.0518836
+0.051562
+0.051332
+0.0511947
+0.051151
+0.0512011
+0.0513445
+0.0515645
+0.0518745
+0.0522745
+0.0527625
+0.0533361
+0.0538946
+0.053212
+0.0526119
+0.0517077
+0.0497055
+0.0476602
+0.0456166
+0.0435859
+0.0415684
+0.0395626
+0.0375775
+0.0356165
+0.0336827
+0.0317729
+0.0298994
+0.0280719
+0.0263
+0.0245804
+0.0229402
+0.0213987
+0.0199789
+0.0186988
+0.0175968
+0.0167107
+0.0160496
+0.0156542
+0.0155594
+0.0157466
+0.0162282
+0.0169805
+0.0179472
+0.0191141
+0.0204476
+0.0187121
+0.0165228
+0.0143338
+0.0121455
+0.00995782
+0.00777088
+0.00558548
+0.00340096
+0.00121647
+-0.000914241
+0.000597467
+0.00266357
+0.00449215
+0.00615589
+0.00796944
+0.00981914
+0.0117549
+0.0137315
+0.0157096
+0.0170078
+0.0182182
+0.0195767
+0.021053
+0.0226453
+0.0243309
+0.0260916
+0.0279132
+0.0297821
+0.0316854
+0.0336237
+0.0355913
+0.0375836
+0.0395968
+0.041628
+0.0436696
+0.045724
+0.0477905
+0.0496347
+0.049915
+0.0502867
+0.0507346
+0.0512723
+0.0518969
+0.0564853
+0.0560737
+0.0557451
+0.0555011
+0.0553428
+0.055271
+0.055286
+0.0553748
+0.0554648
+0.054815
+0.0542459
+0.0537602
+0.05336
+0.0530474
+0.0528238
+0.0526905
+0.052648
+0.0526967
+0.0528362
+0.0530624
+0.0533637
+0.0537526
+0.0542274
+0.0547856
+0.0552332
+0.0542121
+0.052638
+0.0511064
+0.0496242
+0.0475778
+0.0455291
+0.0434942
+0.0414719
+0.0394614
+0.0374647
+0.0354875
+0.0335368
+0.0316176
+0.0297308
+0.027878
+0.0260776
+0.0243413
+0.0226838
+0.0211237
+0.0196841
+0.0183834
+0.0172613
+0.016357
+0.0156872
+0.0152798
+0.0151808
+0.0153961
+0.015897
+0.0166361
+0.0176184
+0.0188056
+0.0201609
+0.0187962
+0.0166179
+0.0144407
+0.012261
+0.0100859
+0.00791946
+0.00577135
+0.00365996
+0.00164321
+0.000207273
+0.00134911
+0.00326677
+0.00504907
+0.00658745
+0.00824346
+0.0100127
+0.0119071
+0.0136751
+0.0146568
+0.0157437
+0.017017
+0.0184388
+0.0199993
+0.0216692
+0.0234251
+0.025249
+0.0271273
+0.0290468
+0.0309953
+0.0329742
+0.0349759
+0.0369942
+0.0390311
+0.0410838
+0.04315
+0.045228
+0.0473162
+0.0494132
+0.0505195
+0.0508893
+0.0513501
+0.0518993
+0.0525341
+0.0574123
+0.0570073
+0.0566841
+0.0564442
+0.0562886
+0.056218
+0.0562327
+0.0563326
+0.0564952
+0.0562998
+0.0557459
+0.0552733
+0.0548842
+0.0545803
+0.054363
+0.0542335
+0.0541922
+0.0542395
+0.054375
+0.0545981
+0.0548918
+0.05527
+0.0557318
+0.0562751
+0.0553471
+0.0537283
+0.0521396
+0.0505929
+0.0490953
+0.0475947
+0.0455401
+0.0434951
+0.0414583
+0.0394379
+0.0374367
+0.0354579
+0.0335055
+0.0315844
+0.0296955
+0.0278404
+0.0260374
+0.0242982
+0.0226376
+0.021074
+0.0196307
+0.0183263
+0.0172005
+0.0162928
+0.0156202
+0.0152111
+0.0151116
+0.0153279
+0.0158309
+0.016573
+0.0175588
+0.0187498
+0.0201089
+0.0190353
+0.0168808
+0.0147371
+0.0126092
+0.010494
+0.00841037
+0.00639048
+0.00448683
+0.00294754
+0.00220796
+0.0028833
+0.00440162
+0.00599071
+0.00735759
+0.00892306
+0.0106137
+0.0118172
+0.0126206
+0.0135175
+0.0146528
+0.0159974
+0.0175022
+0.0191393
+0.0208781
+0.0226952
+0.0245734
+0.0264996
+0.0284539
+0.0304317
+0.0324368
+0.0344645
+0.036511
+0.0385734
+0.0406493
+0.0427365
+0.0448337
+0.0469394
+0.0490525
+0.0511722
+0.0515755
+0.0520301
+0.0525722
+0.053199
+0.0584067
+0.0580087
+0.0576911
+0.0574554
+0.0573025
+0.0572332
+0.0572476
+0.0573458
+0.0575268
+0.0577471
+0.0572885
+0.0568288
+0.0564504
+0.0561549
+0.0559438
+0.0558179
+0.0557778
+0.0558238
+0.0559555
+0.0561724
+0.0564596
+0.0568274
+0.0572766
+0.0566196
+0.0549607
+0.0533302
+0.0517293
+0.0501699
+0.0486593
+0.0471932
+0.0455824
+0.0435813
+0.0415486
+0.0395329
+0.0375368
+0.0355636
+0.0336173
+0.031703
+0.0298216
+0.0279748
+0.0261811
+0.0244521
+0.0228027
+0.0212512
+0.0198209
+0.0185299
+0.0174172
+0.0165064
+0.0158439
+0.0154491
+0.0153512
+0.0155601
+0.0160373
+0.016789
+0.0177711
+0.0189488
+0.0202945
+0.0194573
+0.0173437
+0.0152519
+0.0131922
+0.0111824
+0.00925517
+0.00744423
+0.0058775
+0.00470686
+0.00429815
+0.00476827
+0.00592455
+0.00729134
+0.0085252
+0.00961449
+0.0105532
+0.0110859
+0.0116937
+0.0126107
+0.0138074
+0.0152268
+0.0168008
+0.0185
+0.0202936
+0.0221588
+0.0240746
+0.0260163
+0.0279948
+0.0300028
+0.0320348
+0.0340865
+0.0361544
+0.038236
+0.0403291
+0.0424306
+0.0445395
+0.046656
+0.0487789
+0.0509077
+0.0523417
+0.0527897
+0.0533241
+0.0539422
+0.0594652
+0.0590743
+0.0587625
+0.0585312
+0.0583811
+0.058313
+0.0583272
+0.0584236
+0.0586013
+0.0588289
+0.0588673
+0.05842
+0.0580519
+0.0577647
+0.0575595
+0.0574371
+0.0573982
+0.0574428
+0.0575708
+0.0577817
+0.0580678
+0.0584254
+0.0580254
+0.0563272
+0.0546595
+0.0530197
+0.0514091
+0.0498397
+0.0483188
+0.0468509
+0.0452598
+0.0436875
+0.0417539
+0.0397486
+0.0377639
+0.0358032
+0.0338707
+0.0319715
+0.0300991
+0.0282704
+0.0264967
+0.0247898
+0.0231644
+0.021639
+0.020236
+0.0189569
+0.0178531
+0.0169618
+0.0163178
+0.0159348
+0.0158398
+0.0160425
+0.0165057
+0.0172369
+0.018204
+0.0193715
+0.0206902
+0.0200775
+0.0180368
+0.0160356
+0.014091
+0.0122223
+0.0104555
+0.00887957
+0.00758684
+0.00669827
+0.00642915
+0.00677354
+0.00770272
+0.00880222
+0.00937058
+0.00981268
+0.00995379
+0.0103031
+0.0109961
+0.0120149
+0.0132571
+0.0147153
+0.0163378
+0.0180806
+0.0199121
+0.0218083
+0.0237332
+0.0256986
+0.0276957
+0.02972
+0.0317663
+0.0338307
+0.0359101
+0.038002
+0.0401017
+0.0422073
+0.0443211
+0.046442
+0.0485691
+0.0507016
+0.0527409
+0.0536155
+0.0541417
+0.0547506
+0.0605845
+0.0602009
+0.059895
+0.059668
+0.0595208
+0.059454
+0.0594679
+0.0595624
+0.0597367
+0.0599601
+0.0602623
+0.0600489
+0.0596909
+0.0594116
+0.0592121
+0.0590932
+0.0590553
+0.0590987
+0.0592231
+0.0594281
+0.0597128
+0.059556
+0.0578231
+0.0561188
+0.0544448
+0.0527983
+0.0511808
+0.0496042
+0.0480757
+0.0466002
+0.0450414
+0.0434613
+0.041929
+0.040083
+0.0381157
+0.0361741
+0.0342501
+0.0323595
+0.030509
+0.0287064
+0.0269614
+0.0252859
+0.0236945
+0.0222055
+0.0208408
+0.0196011
+0.0185358
+0.0176789
+0.017062
+0.016696
+0.0166055
+0.0167988
+0.0172417
+0.017943
+0.0188739
+0.0200024
+0.0212821
+0.02091
+0.0189591
+0.0170663
+0.0152335
+0.0135053
+0.01193
+0.0105689
+0.00947772
+0.00878259
+0.0085791
+0.00885322
+0.00960156
+0.00970413
+0.00975466
+0.00949254
+0.00951323
+0.00987816
+0.0106118
+0.0116641
+0.0129909
+0.0144758
+0.0161161
+0.0178605
+0.0196943
+0.0215947
+0.0235444
+0.025524
+0.0275244
+0.0295518
+0.031601
+0.033668
+0.0357497
+0.0378438
+0.0399482
+0.0420614
+0.0441822
+0.0463095
+0.0484424
+0.0504675
+0.0525006
+0.0545168
+0.0550344
+0.0556335
+0.0617613
+0.061385
+0.061085
+0.0608624
+0.0607181
+0.0606527
+0.0606663
+0.0607529
+0.060909
+0.0611433
+0.0614452
+0.0617127
+0.0613644
+0.0610927
+0.0608987
+0.0607831
+0.0607463
+0.0607884
+0.0609094
+0.0611087
+0.0611874
+0.0594242
+0.0576902
+0.0559882
+0.0543176
+0.0526672
+0.0510455
+0.0494646
+0.0479317
+0.0464516
+0.044929
+0.0433448
+0.0418082
+0.0403274
+0.0385768
+0.0366475
+0.0347492
+0.0328873
+0.0310682
+0.0293001
+0.0275927
+0.0259579
+0.0244104
+0.0229679
+0.0216512
+0.0204607
+0.0194426
+0.0186275
+0.018043
+0.0176903
+0.0176048
+0.0177908
+0.0182131
+0.0188783
+0.0197652
+0.0208455
+0.0220764
+0.0219305
+0.0200697
+0.0182737
+0.016573
+0.0149999
+0.0135989
+0.0123922
+0.0114757
+0.0109087
+0.0107455
+0.0109752
+0.0107247
+0.0104378
+0.00972805
+0.00933342
+0.009363
+0.00978835
+0.0105691
+0.0115846
+0.0128605
+0.014359
+0.015995
+0.0177465
+0.0195866
+0.0214926
+0.0234483
+0.0254424
+0.0274665
+0.0295061
+0.0315583
+0.0336279
+0.035712
+0.0378082
+0.0399145
+0.0420294
+0.0441517
+0.0462749
+0.0482858
+0.0503118
+0.052351
+0.054402
+0.0559986
+0.0565875
+0.0629922
+0.0626233
+0.0623293
+0.0621112
+0.0619698
+0.0619024
+0.0619007
+0.0619766
+0.0621296
+0.0623593
+0.0626647
+0.0630336
+0.0630695
+0.0628052
+0.0626165
+0.0625041
+0.0624683
+0.0625093
+0.062627
+0.0628208
+0.0611377
+0.0593729
+0.0576374
+0.0559338
+0.0542652
+0.052627
+0.0510041
+0.0494219
+0.0478876
+0.0464061
+0.0449233
+0.0433388
+0.041802
+0.040321
+0.0389069
+0.0372435
+0.0353772
+0.0335501
+0.031769
+0.0300422
+0.0283795
+0.0267927
+0.0252964
+0.0239073
+0.0226454
+0.02151
+0.0205439
+0.0197742
+0.0192161
+0.0188851
+0.018805
+0.0189792
+0.0193843
+0.0200107
+0.0208495
+0.0218763
+0.0230522
+0.0230967
+0.0213306
+0.0196502
+0.0180795
+0.0166494
+0.0153787
+0.0143189
+0.0135335
+0.0130561
+0.0128843
+0.0122807
+0.0116508
+0.0107465
+0.00998431
+0.00960022
+0.00962898
+0.0100882
+0.01083
+0.0117847
+0.013041
+0.0145209
+0.0161521
+0.0178883
+0.0197151
+0.0216098
+0.0235558
+0.0255415
+0.0275583
+0.0295998
+0.0316612
+0.0337305
+0.0358086
+0.0378994
+0.0400009
+0.0421114
+0.0442122
+0.046209
+0.0482227
+0.0502512
+0.0522928
+0.054346
+0.0564095
+0.0576091
+0.0642743
+0.0639128
+0.0636248
+0.0634104
+0.0632573
+0.0631798
+0.0631781
+0.0632524
+0.0634024
+0.0636275
+0.0639268
+0.0642926
+0.064723
+0.0645467
+0.0643631
+0.0642537
+0.0642188
+0.0642587
+0.0643732
+0.0629553
+0.0611663
+0.0594024
+0.0576678
+0.0559651
+0.0542975
+0.0526682
+0.0510567
+0.0494762
+0.0479436
+0.0464639
+0.0450242
+0.0434434
+0.0419105
+0.0404334
+0.0390234
+0.0376858
+0.0361273
+0.0343401
+0.0326023
+0.030922
+0.0293092
+0.0277756
+0.0263352
+0.0250039
+0.0238002
+0.0227225
+0.0218102
+0.0210868
+0.0205562
+0.0202471
+0.0201724
+0.0203349
+0.0207217
+0.0213088
+0.0220983
+0.0230696
+0.0241876
+0.0243979
+0.0227332
+0.0211645
+0.0197147
+0.0184021
+0.0172501
+0.0163123
+0.0154168
+0.0146094
+0.0140069
+0.0133211
+0.0123178
+0.0112726
+0.0105414
+0.0101783
+0.0102344
+0.0106164
+0.0113241
+0.0123155
+0.0135226
+0.0149549
+0.0165506
+0.0182583
+0.0200601
+0.0219329
+0.0238598
+0.0258267
+0.0278228
+0.0298462
+0.0318917
+0.0339554
+0.036034
+0.0381165
+0.0402066
+0.042276
+0.0442518
+0.046247
+0.0482591
+0.0502861
+0.0523263
+0.0543783
+0.0564382
+0.0584893
+0.0655983
+0.0652441
+0.0649558
+0.0647322
+0.0645822
+0.0645062
+0.0645046
+0.0645774
+0.0647243
+0.0649448
+0.0652381
+0.0656006
+0.0660224
+0.0663147
+0.066136
+0.0660296
+0.0659957
+0.0660345
+0.0648655
+0.0630593
+0.0612734
+0.0595126
+0.0577813
+0.0560821
+0.054418
+0.0527925
+0.0511899
+0.0496214
+0.0480932
+0.0466179
+0.0451992
+0.0436579
+0.0421328
+0.0406637
+0.039262
+0.0379328
+0.0366727
+0.0352488
+0.033558
+0.0319281
+0.0303688
+0.0288915
+0.0275096
+0.0262379
+0.0250935
+0.0240738
+0.0232146
+0.0225314
+0.022033
+0.0217449
+0.0216754
+0.0218267
+0.0221942
+0.0227441
+0.0234855
+0.0244016
+0.0254612
+0.0258197
+0.0242195
+0.0226643
+0.021189
+0.0198441
+0.0185957
+0.0174751
+0.016525
+0.0157741
+0.0151927
+0.0143474
+0.0131244
+0.0121404
+0.011474
+0.0111414
+0.0111468
+0.0114985
+0.012197
+0.0131229
+0.0143065
+0.0156743
+0.0172067
+0.0188615
+0.0206107
+0.0224375
+0.0243245
+0.0262587
+0.0282304
+0.0302322
+0.0322587
+0.0343053
+0.0363687
+0.0384419
+0.0404847
+0.0424308
+0.0443997
+0.0463885
+0.0483947
+0.0504133
+0.0524428
+0.0544847
+0.0565378
+0.0585696
+0.0669515
+0.0666045
+0.0663191
+0.0661001
+0.0659532
+0.0658789
+0.0658773
+0.0659486
+0.0660924
+0.0663083
+0.0665957
+0.0669535
+0.0673681
+0.0678498
+0.0679333
+0.0678296
+0.0677967
+0.0668648
+0.0650403
+0.0632391
+0.0614584
+0.0597031
+0.0579774
+0.0562842
+0.0546263
+0.0530071
+0.0514112
+0.0498497
+0.0483288
+0.0468608
+0.0454497
+0.0439699
+0.042467
+0.04101
+0.0396205
+0.0383038
+0.0370562
+0.0358911
+0.0346262
+0.033049
+0.0315451
+0.0301256
+0.0288029
+0.027591
+0.026505
+0.0255417
+0.0247336
+0.0240865
+0.0236209
+0.0233524
+0.0232877
+0.0234286
+0.0237714
+0.0242926
+0.024988
+0.025851
+0.0268534
+0.0266971
+0.0251311
+0.0236518
+0.0222494
+0.0209562
+0.0198006
+0.0186857
+0.0177317
+0.0169775
+0.016416
+0.0153442
+0.0142143
+0.0133111
+0.0126817
+0.0123761
+0.0123684
+0.0126862
+0.0133194
+0.0142187
+0.0153234
+0.0166133
+0.0180774
+0.0196683
+0.0213641
+0.0231393
+0.0249734
+0.0268609
+0.0287914
+0.0307567
+0.0327507
+0.0347684
+0.0368058
+0.0388525
+0.0407626
+0.0426975
+0.044651
+0.0466225
+0.0486128
+0.0506197
+0.0526412
+0.0546757
+0.0567219
+0.0587315
+0.0683481
+0.0680083
+0.0677259
+0.0675115
+0.0673676
+0.0672948
+0.0672933
+0.0673631
+0.0675039
+0.0677153
+0.0679967
+0.0683472
+0.0687573
+0.0692293
+0.069744
+0.0696431
+0.0689453
+0.0671059
+0.0652881
+0.0634939
+0.0617206
+0.059973
+0.0582554
+0.0565704
+0.0549211
+0.0533109
+0.0517244
+0.0501728
+0.0486619
+0.0472043
+0.0458036
+0.0443777
+0.0428953
+0.0414572
+0.0400832
+0.0387844
+0.0375638
+0.0364149
+0.0353477
+0.0342734
+0.0328257
+0.031464
+0.0302
+0.0290464
+0.0280169
+0.0271074
+0.0263451
+0.0257343
+0.025299
+0.0250485
+0.0249882
+0.0251196
+0.0254396
+0.0259337
+0.0265863
+0.0273989
+0.0283467
+0.027688
+0.026174
+0.0247509
+0.0234242
+0.0221409
+0.02093
+0.0198608
+0.018966
+0.0182692
+0.0176373
+0.0165612
+0.0155348
+0.0147109
+0.0141171
+0.0138345
+0.013815
+0.0141002
+0.0146725
+0.0155063
+0.0165375
+0.0177688
+0.0191448
+0.0206582
+0.0222787
+0.0239901
+0.0257741
+0.0276166
+0.0295047
+0.0314255
+0.0333796
+0.0353614
+0.0373665
+0.0392424
+0.0411344
+0.0430545
+0.0449907
+0.0469479
+0.048925
+0.0509196
+0.0529296
+0.0549535
+0.0569777
+0.0589744
+0.0697856
+0.0694518
+0.0691734
+0.0689635
+0.0688227
+0.0687514
+0.0687499
+0.0688182
+0.0689561
+0.0691631
+0.0694386
+0.0697818
+0.0701873
+0.0706497
+0.0711766
+0.0711
+0.0692478
+0.0674142
+0.0656025
+0.0638145
+0.0620524
+0.0603184
+0.0586139
+0.0569395
+0.0553013
+0.0537024
+0.0521279
+0.0505887
+0.0490906
+0.0476462
+0.0462588
+0.0448758
+0.0434238
+0.0420038
+0.0406483
+0.0393681
+0.0381708
+0.037061
+0.0359919
+0.0350069
+0.0341118
+0.032884
+0.0316767
+0.0305789
+0.0296027
+0.0287393
+0.0280096
+0.0274359
+0.027028
+0.0267936
+0.0267373
+0.0268601
+0.0271596
+0.0276301
+0.0282631
+0.0290201
+0.0299146
+0.0287897
+0.0273254
+0.0259384
+0.0246251
+0.0233586
+0.0222004
+0.0211822
+0.0203215
+0.0196682
+0.0190331
+0.0179639
+0.0169958
+0.0162499
+0.0157259
+0.0154667
+0.0154378
+0.0156936
+0.0162098
+0.0169723
+0.0179266
+0.0190788
+0.0203924
+0.0218194
+0.0233596
+0.024997
+0.0267138
+0.0284957
+0.0303312
+0.0322111
+0.0341281
+0.0360762
+0.037915
+0.0397494
+0.0416183
+0.0435171
+0.0454336
+0.0473725
+0.0493326
+0.0513113
+0.0533066
+0.0553167
+0.0573118
+0.0592973
+0.0712614
+0.0709318
+0.0706592
+0.0704537
+0.0703159
+0.0702462
+0.0702447
+0.0703116
+0.0704465
+0.0706491
+0.0709189
+0.071255
+0.0716557
+0.0721088
+0.0726251
+0.0714499
+0.0696053
+0.0677814
+0.0659798
+0.0642023
+0.0624512
+0.0607286
+0.059037
+0.0573792
+0.0557569
+0.0541716
+0.0526196
+0.0510953
+0.0496125
+0.0481837
+0.0468121
+0.0454662
+0.0440416
+0.042656
+0.0413219
+0.0400632
+0.0388873
+0.0378019
+0.0367493
+0.0357916
+0.034936
+0.0341254
+0.0332307
+0.0321859
+0.031254
+0.0304271
+0.0297388
+0.0291991
+0.0288162
+0.0285965
+0.0285437
+0.0286588
+0.0289397
+0.0293817
+0.0299777
+0.0307053
+0.0313944
+0.029866
+0.0284244
+0.0270835
+0.0258588
+0.0246804
+0.0235809
+0.0226126
+0.0218084
+0.0212009
+0.0205425
+0.0194905
+0.0185991
+0.0179202
+0.0174464
+0.0172233
+0.017187
+0.0174172
+0.0178819
+0.0185759
+0.0194554
+0.020522
+0.0217518
+0.0231048
+0.0245789
+0.0261427
+0.0277888
+0.0295058
+0.0312821
+0.033108
+0.0349759
+0.0368011
+0.0385641
+0.0403691
+0.0422106
+0.0440838
+0.0459767
+0.0478937
+0.0498332
+0.0517928
+0.0537702
+0.0557636
+0.0577272
+0.0596989
+0.0727732
+0.0724478
+0.072181
+0.0719798
+0.0718449
+0.0717767
+0.0717752
+0.0718406
+0.0719727
+0.072171
+0.0724351
+0.0727642
+0.0731575
+0.0736042
+0.0737164
+0.0718632
+0.0700296
+0.068217
+0.0664272
+0.0646621
+0.0629237
+0.0612144
+0.0595366
+0.0578931
+0.0562857
+0.0547156
+0.0531895
+0.0516898
+0.0502245
+0.0488137
+0.0474602
+0.0461399
+0.0447503
+0.043409
+0.0420988
+0.0408641
+0.0397119
+0.0386497
+0.0376191
+0.0366842
+0.0358516
+0.0350622
+0.0343747
+0.0338079
+0.0329586
+0.0321755
+0.0315255
+0.0310169
+0.0306567
+0.0304503
+0.0304007
+0.0305088
+0.0307728
+0.0311889
+0.0317509
+0.0324509
+0.0324949
+0.0310208
+0.0296355
+0.0283519
+0.0271574
+0.0260855
+0.0250658
+0.0241571
+0.023406
+0.0227979
+0.0220681
+0.0211317
+0.0203125
+0.0196927
+0.0192626
+0.019045
+0.0190037
+0.0192121
+0.0196428
+0.0202766
+0.0210993
+0.0220867
+0.0232338
+0.0245052
+0.0258997
+0.0273986
+0.0289786
+0.030629
+0.0323436
+0.0341128
+0.0359206
+0.0375974
+0.0393247
+0.0410963
+0.0429066
+0.0447507
+0.0466165
+0.0485082
+0.0504241
+0.0523616
+0.0543183
+0.056284
+0.0582222
+0.0601776
+0.0743189
+0.0739976
+0.0737364
+0.0735395
+0.0734074
+0.0733406
+0.0733392
+0.0734033
+0.0735325
+0.0737267
+0.0739852
+0.0743074
+0.0746926
+0.0751337
+0.0741819
+0.0723406
+0.0705194
+0.0687197
+0.0669434
+0.0651922
+0.0634684
+0.0617742
+0.060112
+0.0584847
+0.0568915
+0.0553386
+0.0538301
+0.0523692
+0.0509235
+0.0495326
+0.0481852
+0.0468796
+0.0455534
+0.0442403
+0.0429687
+0.0417597
+0.0406329
+0.0395954
+0.0385939
+0.0376831
+0.0368716
+0.036089
+0.0354143
+0.0348645
+0.0344235
+0.0339753
+0.0333604
+0.0328801
+0.0325406
+0.0323462
+0.0322995
+0.0324013
+0.03265
+0.0330424
+0.0335735
+0.0342367
+0.0336873
+0.0322673
+0.0309373
+0.0297003
+0.0285555
+0.0275137
+0.0265418
+0.0257105
+0.0250104
+0.0243752
+0.023694
+0.0228652
+0.0221103
+0.0215423
+0.0211493
+0.0209285
+0.0208894
+0.0210791
+0.0214829
+0.022064
+0.022834
+0.0237494
+0.0248209
+0.0260148
+0.0273325
+0.0287568
+0.0302728
+0.0318634
+0.0335149
+0.0352253
+0.0368649
+0.038502
+0.0401905
+0.0419255
+0.0437015
+0.0455134
+0.0473491
+0.0492127
+0.0511022
+0.0530149
+0.0549484
+0.056872
+0.0587908
+0.060728
+0.0758963
+0.0755792
+0.0753234
+0.0751306
+0.0750014
+0.074936
+0.0749347
+0.0749973
+0.0751238
+0.0753139
+0.075567
+0.0758825
+0.0762597
+0.0765508
+0.0747073
+0.0728808
+0.0710734
+0.0692881
+0.0675267
+0.0657911
+0.0640834
+0.0624041
+0.0607553
+0.0591416
+0.057566
+0.0560318
+0.0545425
+0.0531018
+0.051706
+0.0503309
+0.048992
+0.0477084
+0.0464461
+0.0451589
+0.0439259
+0.042744
+0.0416439
+0.0406299
+0.0396658
+0.0387777
+0.0379718
+0.0372098
+0.0365558
+0.0360234
+0.0355968
+0.0352812
+0.0350885
+0.0347816
+0.0344608
+0.0342773
+0.0342333
+0.0343293
+0.0345641
+0.0349351
+0.0354378
+0.0360667
+0.0349662
+0.0336002
+0.0323195
+0.0311168
+0.0300261
+0.0290267
+0.0281096
+0.0273232
+0.0266021
+0.0260353
+0.0254049
+0.0246715
+0.0239736
+0.0234508
+0.0230741
+0.0228654
+0.0228296
+0.0230034
+0.0233816
+0.0239185
+0.0246272
+0.0254782
+0.0264836
+0.0276159
+0.0288605
+0.0302129
+0.0316593
+0.0331873
+0.0347849
+0.0363657
+0.037903
+0.0395021
+0.0411548
+0.0428508
+0.0445899
+0.0463671
+0.0481703
+0.0500033
+0.051864
+0.0537496
+0.0556527
+0.0575287
+0.0594263
+0.0613434
+0.077502
+0.0771905
+0.07694
+0.0767514
+0.0766249
+0.0765609
+0.0765595
+0.0766209
+0.0767447
+0.0769307
+0.0771785
+0.0774875
+0.0778569
+0.0771117
+0.0752819
+0.0734718
+0.071683
+0.069917
+0.0681753
+0.0664532
+0.0647592
+0.0630958
+0.0614655
+0.0598709
+0.0583151
+0.0568011
+0.0553325
+0.0539129
+0.0525463
+0.0511961
+0.049882
+0.0486219
+0.0474233
+0.0461633
+0.0449696
+0.0438159
+0.0427422
+0.0417437
+0.0408156
+0.0399458
+0.0391593
+0.0384137
+0.0377805
+0.0372656
+0.0368559
+0.0365627
+0.0363768
+0.0363026
+0.0363315
+0.0362379
+0.0361963
+0.0362871
+0.0365093
+0.0368607
+0.0373375
+0.0376855
+0.0362901
+0.0349674
+0.0337263
+0.0325854
+0.0315556
+0.030616
+0.0297562
+0.0289535
+0.028274
+0.0277412
+0.0271698
+0.0265358
+0.0258882
+0.0254027
+0.0250394
+0.0248445
+0.0248116
+0.0249715
+0.0253186
+0.025815
+0.02648
+0.0272732
+0.0282147
+0.02929
+0.0304696
+0.0317535
+0.0331327
+0.0345957
+0.0361262
+0.0375457
+0.0390366
+0.040591
+0.0422019
+0.0438631
+0.0455664
+0.047307
+0.0490756
+0.050876
+0.0527059
+0.0545624
+0.0564087
+0.0582604
+0.0601349
+0.0620301
+0.0791348
+0.0788297
+0.0785845
+0.0783998
+0.078276
+0.0782133
+0.078212
+0.0782721
+0.0783933
+0.0785754
+0.078818
+0.0791206
+0.0794824
+0.0777302
+0.0759153
+0.0741207
+0.0723479
+0.0705986
+0.0688746
+0.0671736
+0.0654983
+0.0638541
+0.0622437
+0.0606696
+0.0591347
+0.0576423
+0.0561957
+0.0547985
+0.0534545
+0.0521391
+0.0508508
+0.0496154
+0.0484476
+0.047248
+0.0460875
+0.0449686
+0.0439118
+0.0429405
+0.0420388
+0.0411972
+0.0404143
+0.0396922
+0.0390798
+0.0385822
+0.0381817
+0.0379017
+0.0377441
+0.0376731
+0.0377005
+0.0378039
+0.0379454
+0.0379587
+0.0380983
+0.0383556
+0.0387183
+0.0390222
+0.0376685
+0.0363877
+0.0351968
+0.0341051
+0.0331226
+0.032259
+0.0314184
+0.0306538
+0.0300043
+0.029496
+0.0289745
+0.0284467
+0.0278435
+0.0273828
+0.0270394
+0.0268565
+0.026826
+0.026974
+0.027289
+0.0277487
+0.0283706
+0.0291224
+0.0300059
+0.0310192
+0.0321475
+0.0333669
+0.034682
+0.0360822
+0.0374421
+0.0388135
+0.0402575
+0.0417665
+0.0433338
+0.0449532
+0.0466193
+0.0483271
+0.0500605
+0.0518267
+0.0536242
+0.055435
+0.0572387
+0.0590643
+0.0609141
+0.0627857
+0.080794
+0.0804952
+0.0802551
+0.0800742
+0.079953
+0.0798917
+0.0798904
+0.0799492
+0.0800679
+0.0802462
+0.0804838
+0.0807801
+0.0802236
+0.0784052
+0.0766062
+0.0748282
+0.0730726
+0.071341
+0.0696354
+0.0679535
+0.0662978
+0.064674
+0.0630845
+0.0615319
+0.0600191
+0.0585493
+0.0571256
+0.0557517
+0.0544313
+0.0531557
+0.0518942
+0.0506842
+0.0495416
+0.0484054
+0.0472693
+0.046186
+0.0451574
+0.0442135
+0.0433383
+0.0425246
+0.0417421
+0.0410434
+0.0404514
+0.0399709
+0.0395845
+0.0393145
+0.0391653
+0.0391183
+0.0391335
+0.0392332
+0.039333
+0.0393459
+0.0394805
+0.039729
+0.0400792
+0.0404266
+0.0391134
+0.0378815
+0.0367391
+0.0356946
+0.034757
+0.0339329
+0.0331371
+0.0324044
+0.0317901
+0.0313029
+0.0308293
+0.0303953
+0.0298316
+0.0293912
+0.0290668
+0.0288944
+0.0288661
+0.0290037
+0.0292892
+0.029718
+0.0302995
+0.0310162
+0.0318472
+0.0328037
+0.033875
+0.035043
+0.0362974
+0.037578
+0.0388269
+0.040151
+0.0415486
+0.0430123
+0.0445357
+0.0461129
+0.0477386
+0.0494079
+0.0511166
+0.0528511
+0.0546065
+0.0563636
+0.0581394
+0.0599376
+0.0617612
+0.0636079
+0.082478
+0.0821854
+0.0819502
+0.0817731
+0.0816544
+0.0815943
+0.0815931
+0.0816506
+0.0817668
+0.0819415
+0.0821742
+0.0824644
+0.080937
+0.079135
+0.077353
+0.0755926
+0.0738551
+0.0721424
+0.0704561
+0.0687942
+0.0671593
+0.0655569
+0.0639893
+0.0624592
+0.0609694
+0.059523
+0.0581232
+0.0567735
+0.0554774
+0.0542382
+0.0529912
+0.0518068
+0.0506895
+0.0496163
+0.0485086
+0.0474609
+0.0464729
+0.0455563
+0.0447074
+0.043915
+0.0431403
+0.0424646
+0.0418928
+0.041429
+0.0410563
+0.040796
+0.0406523
+0.0406084
+0.0406257
+0.0407216
+0.0407912
+0.0408036
+0.0409334
+0.0411731
+0.0415111
+0.041891
+0.0406252
+0.0394405
+0.0383445
+0.037345
+0.0364499
+0.0356608
+0.0349086
+0.0342052
+0.0336238
+0.0331561
+0.0327257
+0.0323358
+0.0318363
+0.0314199
+0.0311165
+0.0309533
+0.0309268
+0.0310553
+0.031315
+0.0317164
+0.0322619
+0.0329443
+0.0337302
+0.0346347
+0.0356511
+0.03677
+0.0379549
+0.0390779
+0.0402803
+0.0415582
+0.0429099
+0.0443287
+0.0458083
+0.0473432
+0.048928
+0.050558
+0.0522291
+0.0539374
+0.0556353
+0.0573609
+0.0591053
+0.0608768
+0.0626734
+0.0644941
+0.0841854
+0.0838986
+0.0836683
+0.0834948
+0.0833786
+0.0833198
+0.0833185
+0.0833749
+0.0834887
+0.0836598
+0.0838877
+0.083507
+0.0817029
+0.0799182
+0.0781541
+0.0764121
+0.0746937
+0.0730006
+0.0713347
+0.0696938
+0.0680805
+0.0665002
+0.0649554
+0.0634486
+0.0619826
+0.0605604
+0.0591852
+0.0578602
+0.056589
+0.0553611
+0.0541539
+0.0529955
+0.0519038
+0.050883
+0.0498136
+0.0487939
+0.0478527
+0.046963
+0.04614
+0.0453513
+0.0446016
+0.0439484
+0.0433961
+0.0429485
+0.04259
+0.0423391
+0.0422006
+0.0421584
+0.0421788
+0.0422713
+0.0423126
+0.0423245
+0.0424497
+0.0426808
+0.043007
+0.0433577
+0.0421965
+0.0410573
+0.0400056
+0.0390486
+0.038192
+0.0374371
+0.0367229
+0.0360491
+0.035497
+0.0350482
+0.0346568
+0.0342888
+0.0338614
+0.0334688
+0.0331841
+0.0330291
+0.0330043
+0.0331237
+0.0333616
+0.0337387
+0.034252
+0.0348955
+0.0356484
+0.0365054
+0.0374711
+0.0385372
+0.0395619
+0.0406406
+0.0417981
+0.0430309
+0.0443377
+0.0457122
+0.0471485
+0.048641
+0.0501849
+0.0517753
+0.0534084
+0.055072
+0.0567301
+0.0584227
+0.0601345
+0.0618765
+0.0636462
+0.0654415
+0.0859147
+0.0856337
+0.0854081
+0.0852381
+0.0851242
+0.0850666
+0.0850654
+0.0851206
+0.0852321
+0.0853997
+0.085623
+0.0843065
+0.0825199
+0.0807533
+0.0790078
+0.0772851
+0.0755865
+0.0739139
+0.072269
+0.0706498
+0.0690588
+0.0675015
+0.0659801
+0.0644973
+0.0630557
+0.0616582
+0.060308
+0.0590082
+0.0577623
+0.0565435
+0.0553788
+0.0542466
+0.0531806
+0.0521848
+0.051179
+0.0501871
+0.0492726
+0.0484279
+0.0476302
+0.046836
+0.0461105
+0.0454789
+0.0449454
+0.0445134
+0.044179
+0.0439373
+0.0438038
+0.0437632
+0.0437865
+0.0438756
+0.0438906
+0.0439021
+0.0440228
+0.0442457
+0.0445341
+0.044871
+0.0438211
+0.0427252
+0.0417156
+0.0407987
+0.0399759
+0.0392553
+0.038571
+0.03793
+0.0373995
+0.0369733
+0.0366171
+0.036269
+0.0359059
+0.0355347
+0.0352666
+0.0351189
+0.0350956
+0.0352031
+0.0354255
+0.0357808
+0.0362652
+0.0368736
+0.0375964
+0.03841
+0.0393289
+0.0402791
+0.0412228
+0.0422591
+0.0433734
+0.0445626
+0.0458258
+0.047157
+0.0485505
+0.0500012
+0.0515043
+0.0530552
+0.05465
+0.0562631
+0.0578872
+0.0595443
+0.0612248
+0.0629366
+0.0646773
+0.0664447
+0.0876646
+0.0873892
+0.0871681
+0.0870016
+0.0868901
+0.0868336
+0.0868325
+0.0868865
+0.0869958
+0.0871599
+0.0869426
+0.0851549
+0.0833865
+0.0816386
+0.0799125
+0.0782097
+0.0765317
+0.0748801
+0.0732569
+0.0716601
+0.070092
+0.0685581
+0.0670608
+0.0656023
+0.0641856
+0.0628133
+0.0614884
+0.0602141
+0.0589803
+0.0577847
+0.0566487
+0.055556
+0.0545156
+0.0535446
+0.0526003
+0.0516356
+0.0507473
+0.0499393
+0.0491642
+0.0483743
+0.0476722
+0.0470616
+0.0465463
+0.0461293
+0.0458048
+0.0455717
+0.045443
+0.0454162
+0.0454429
+0.0455288
+0.0455004
+0.0455115
+0.045628
+0.0458489
+0.0461129
+0.0464384
+0.0454932
+0.0444385
+0.0434687
+0.0425888
+0.0417985
+0.0411098
+0.0404496
+0.0398388
+0.0393315
+0.0389265
+0.0386022
+0.0382722
+0.0379668
+0.0376146
+0.0373615
+0.0372202
+0.0371983
+0.0372938
+0.0375037
+0.0378395
+0.0382979
+0.0388745
+0.0395642
+0.0403436
+0.0412133
+0.0420259
+0.0429312
+0.0439272
+0.0450002
+0.0461476
+0.0473685
+0.0486575
+0.0500092
+0.0514188
+0.0528816
+0.0543933
+0.0559499
+0.0575131
+0.0591028
+0.0607242
+0.0623729
+0.0640541
+0.0657653
+0.0675042
+0.0894339
+0.089164
+0.0889473
+0.0887842
+0.0886749
+0.0886196
+0.0886184
+0.0886714
+0.0887784
+0.0889393
+0.0878201
+0.0860507
+0.0843011
+0.0825726
+0.0808664
+0.0791841
+0.0775272
+0.0758973
+0.0742963
+0.0727223
+0.0711777
+0.0696677
+0.0681947
+0.066761
+0.0653694
+0.0640225
+0.0627232
+0.0614745
+0.0602511
+0.0590812
+0.0579705
+0.0569193
+0.0559045
+0.0549581
+0.0540639
+0.0531351
+0.0522722
+0.0514881
+0.0507265
+0.0499614
+0.0492819
+0.0486915
+0.0481935
+0.0477909
+0.0474741
+0.0472491
+0.0471251
+0.0470999
+0.0471396
+0.0472223
+0.0471556
+0.0471664
+0.0472788
+0.047492
+0.0477401
+0.0480545
+0.0472077
+0.0461922
+0.04526
+0.0444116
+0.0436543
+0.0429954
+0.0423512
+0.0417683
+0.0412894
+0.0409038
+0.0406084
+0.0402949
+0.0400414
+0.0397065
+0.0394668
+0.0393314
+0.0393106
+0.0393953
+0.0395941
+0.0399123
+0.0403472
+0.0408949
+0.0415511
+0.0423023
+0.043018
+0.0438016
+0.0446791
+0.0456395
+0.0466732
+0.0477804
+0.0489606
+0.0502087
+0.0515198
+0.0528891
+0.0543123
+0.0557853
+0.0573039
+0.0588178
+0.0603732
+0.0619592
+0.0635759
+0.065226
+0.0669073
+0.0686172
+0.0912215
+0.090957
+0.0907445
+0.0905846
+0.0904775
+0.0904233
+0.0904222
+0.0904741
+0.090579
+0.0905129
+0.0887431
+0.0869925
+0.0852622
+0.0835536
+0.0818678
+0.0802065
+0.0785712
+0.0769634
+0.0753851
+0.0738341
+0.0723133
+0.0708275
+0.0693791
+0.0679705
+0.0666041
+0.0652826
+0.0640089
+0.0627734
+0.0615735
+0.0604293
+0.0593439
+0.0583173
+0.0573435
+0.0564213
+0.0555506
+0.0546812
+0.0538431
+0.0530744
+0.0523339
+0.0515927
+0.0509349
+0.0503639
+0.0498827
+0.0494938
+0.0491842
+0.0489672
+0.0488475
+0.0488232
+0.0488755
+0.0489408
+0.0488531
+0.0488634
+0.0489719
+0.0491778
+0.0494016
+0.0497055
+0.0489602
+0.0479789
+0.0470753
+0.0462579
+0.0455314
+0.0449
+0.0442796
+0.0437225
+0.0432683
+0.0429018
+0.0426325
+0.0423343
+0.0421139
+0.0418
+0.0415729
+0.0414508
+0.0414305
+0.041506
+0.0416948
+0.0419971
+0.0424106
+0.042932
+0.0435575
+0.0442008
+0.044857
+0.0456091
+0.0464524
+0.0473821
+0.0483876
+0.0494564
+0.0505975
+0.0518062
+0.0530778
+0.054408
+0.0557925
+0.0572273
+0.0586856
+0.0601647
+0.0616861
+0.0632456
+0.0648306
+0.0664496
+0.0681006
+0.0697813
+0.0930264
+0.092767
+0.0925587
+0.0924019
+0.0922969
+0.0922438
+0.0922427
+0.0922936
+0.0923964
+0.0914612
+0.0897101
+0.0879788
+0.0862683
+0.0845799
+0.0829151
+0.0812752
+0.0796618
+0.0780765
+0.0765155
+0.074985
+0.073488
+0.0720265
+0.0706027
+0.0692189
+0.0678777
+0.0665815
+0.0653331
+0.0641187
+0.0629445
+0.0618256
+0.0607651
+0.059763
+0.058823
+0.0579268
+0.0570827
+0.0562701
+0.055456
+0.0546998
+0.0539777
+0.0532641
+0.0526272
+0.0520748
+0.0516095
+0.0512333
+0.0509312
+0.0507216
+0.0506061
+0.0505827
+0.0506384
+0.0506732
+0.0505884
+0.0505984
+0.0507032
+0.0508794
+0.0510989
+0.051394
+0.0507385
+0.0497887
+0.0489186
+0.0481325
+0.0474347
+0.046829
+0.0462314
+0.045698
+0.0452645
+0.0449178
+0.0446521
+0.0443881
+0.0441608
+0.0439002
+0.0436839
+0.0435769
+0.0435546
+0.0436246
+0.0438043
+0.0440921
+0.0444861
+0.0449835
+0.0455639
+0.0460968
+0.0467263
+0.0474488
+0.04826
+0.0491555
+0.0501308
+0.0511713
+0.052275
+0.0534458
+0.0546793
+0.0559714
+0.0573181
+0.0587157
+0.0601153
+0.0615601
+0.0630478
+0.0645757
+0.066134
+0.0677219
+0.0693426
+0.0709939
+0.0948475
+0.0945931
+0.0943889
+0.0942351
+0.0941321
+0.09408
+0.094079
+0.0941289
+0.0942028
+0.0924517
+0.0907198
+0.089008
+0.0873177
+0.08565
+0.0840064
+0.0823882
+0.0807956
+0.0792267
+0.0776878
+0.0761809
+0.0747078
+0.0732706
+0.0718715
+0.0705126
+0.0691965
+0.0679255
+0.0667022
+0.0655095
+0.0643606
+0.0632668
+0.0622309
+0.061253
+0.0603361
+0.0594745
+0.0586549
+0.0578891
+0.0570979
+0.0563634
+0.0556562
+0.054972
+0.0543551
+0.0538204
+0.0533704
+0.0530037
+0.0527114
+0.0525089
+0.0523973
+0.0523747
+0.0524285
+0.0524398
+0.0523579
+0.0523676
+0.0524688
+0.0526155
+0.0528278
+0.0531192
+0.0525446
+0.051628
+0.0507894
+0.0500328
+0.0493618
+0.0487801
+0.0482037
+0.0476924
+0.0472772
+0.0469478
+0.0466871
+0.0464544
+0.0462209
+0.0460088
+0.0458025
+0.0457004
+0.0456833
+0.0457501
+0.0459214
+0.046196
+0.0465722
+0.0470476
+0.0475065
+0.0480178
+0.0486226
+0.0493173
+0.0500982
+0.0509614
+0.0519028
+0.0529181
+0.0539892
+0.0551236
+0.0563204
+0.0575757
+0.0588857
+0.0602255
+0.0615898
+0.0630007
+0.0644553
+0.0659505
+0.0674829
+0.0690403
+0.0706308
+0.0722526
+0.0966839
+0.0964344
+0.0962341
+0.0960833
+0.0959823
+0.0959312
+0.0959301
+0.0959791
+0.0952152
+0.093483
+0.0917706
+0.0900788
+0.0884089
+0.0867622
+0.0851401
+0.0835402
+0.0819652
+0.0804191
+0.0789035
+0.0774202
+0.0759712
+0.0745584
+0.0731838
+0.0718498
+0.0705586
+0.0693126
+0.0681111
+0.0669352
+0.0658113
+0.0647419
+0.06373
+0.0627782
+0.0618805
+0.061042
+0.0602553
+0.059521
+0.0587732
+0.0580621
+0.0573693
+0.0567103
+0.0561154
+0.0555976
+0.0551621
+0.0548041
+0.0545214
+0.0543257
+0.0542178
+0.054196
+0.054248
+0.0542374
+0.0541582
+0.0541676
+0.0542654
+0.0543844
+0.0545898
+0.0548776
+0.054379
+0.0534938
+0.052685
+0.0519559
+0.0513101
+0.0507507
+0.0501941
+0.0497033
+0.049305
+0.0489859
+0.0487356
+0.0485316
+0.0482924
+0.0481247
+0.0479275
+0.04783
+0.0478176
+0.0478813
+0.0480451
+0.0483076
+0.0486675
+0.0490716
+0.0494699
+0.0499611
+0.0505426
+0.0512112
+0.0519637
+0.0527964
+0.0537056
+0.0546875
+0.0557367
+0.0568364
+0.0579978
+0.0592175
+0.060492
+0.061775
+0.0631059
+0.0644836
+0.0659055
+0.0673685
+0.0688702
+0.0704022
+0.0719625
+0.0735551
+0.0885768
+0.0866225
+0.0846798
+0.0827494
+0.0808323
+0.0789295
+0.0770419
+0.07517
+0.0733082
+0.0714652
+0.0696422
+0.067841
+0.0660634
+0.0643113
+0.0625867
+0.0608922
+0.0592231
+0.0575823
+0.0559791
+0.0544169
+0.0528993
+0.0514302
+0.050014
+0.0486552
+0.0473588
+0.0461301
+0.0449745
+0.043898
+0.0429008
+0.0419779
+0.041151
+0.040426
+0.0398085
+0.0393036
+0.0389156
+0.0386481
+0.0385036
+0.0384834
+0.0385878
+0.0388157
+0.0391651
+0.039628
+0.0401866
+0.0408551
+0.0416283
+0.0425005
+0.0434657
+0.0445179
+0.045651
+0.0468591
+0.0481367
+0.0494784
+0.050879
+0.0523339
+0.0538386
+0.0553891
+0.0569817
+0.0586128
+0.0602795
+0.0618985
+0.0634839
+0.0651044
+0.0667576
+0.068364
+0.0698109
+0.0712957
+0.0728115
+0.0743539
+0.0759282
+0.0775324
+0.0791648
+0.0808235
+0.0824417
+0.0840731
+0.085729
+0.0874085
+0.0875484
+0.0876326
+0.0877505
+0.0879229
+0.0881494
+0.0884296
+0.0887556
+0.0891312
+0.0895588
+0.0900313
+0.0905505
+0.0911194
+0.0917371
+0.0924026
+0.0931149
+0.093873
+0.0946652
+0.0954878
+0.0963476
+0.0972493
+0.0981782
+0.0991406
+0.100142
+0.10118
+0.0876216
+0.0856485
+0.0836832
+0.0817293
+0.0797877
+0.0778593
+0.0759451
+0.0740463
+0.072164
+0.0702944
+0.0684403
+0.0666066
+0.0647951
+0.0630077
+0.0612465
+0.0595139
+0.0578123
+0.0561395
+0.0544939
+0.0528878
+0.051325
+0.0498096
+0.0483459
+0.0469388
+0.0455937
+0.044316
+0.0431119
+0.0419876
+0.0409497
+0.03999
+0.0391211
+0.0383577
+0.0377064
+0.0371729
+0.0367625
+0.0364792
+0.036326
+0.0363047
+0.0364153
+0.0366568
+0.0370265
+0.0375101
+0.0380997
+0.0388042
+0.0396175
+0.0405329
+0.0415439
+0.0426435
+0.0438251
+0.0450822
+0.0464088
+0.0477989
+0.0492474
+0.050749
+0.0522994
+0.0538942
+0.0555296
+0.0572022
+0.0588581
+0.0604439
+0.0620665
+0.0637231
+0.065381
+0.0668206
+0.0683002
+0.0698169
+0.0713568
+0.07293
+0.0745343
+0.0761679
+0.0778289
+0.0794538
+0.0810858
+0.0827435
+0.0844255
+0.0861304
+0.0861939
+0.0862797
+0.0864209
+0.0866137
+0.0868436
+0.087128
+0.0874658
+0.0878474
+0.0882813
+0.0887671
+0.0892975
+0.0898744
+0.0905006
+0.0911751
+0.091897
+0.092665
+0.0934773
+0.0943105
+0.0951789
+0.0960715
+0.0970053
+0.0979793
+0.0989921
+0.100043
+0.086704
+0.0847121
+0.0827302
+0.0807557
+0.0787901
+0.0768367
+0.0748964
+0.0729703
+0.0710595
+0.0691653
+0.0672883
+0.0654223
+0.0635771
+0.0617544
+0.0599564
+0.0581853
+0.0564437
+0.0547344
+0.0530576
+0.0514067
+0.0497974
+0.048234
+0.046721
+0.0452634
+0.0438669
+0.0425374
+0.0412814
+0.0401059
+0.039018
+0.0380244
+0.0371095
+0.0363039
+0.035615
+0.0350497
+0.0346141
+0.034313
+0.0341502
+0.0341274
+0.0342451
+0.0345018
+0.0348943
+0.035401
+0.0360252
+0.0367694
+0.0376267
+0.0385894
+0.03965
+0.0408006
+0.0420341
+0.0433432
+0.0447213
+0.0461623
+0.0476605
+0.0492106
+0.0508079
+0.0524481
+0.0541273
+0.055824
+0.05741
+0.0590347
+0.060695
+0.0623829
+0.0638407
+0.0653142
+0.0668272
+0.0683687
+0.0699405
+0.0715448
+0.0731795
+0.0748427
+0.0764744
+0.0781071
+0.0797665
+0.0814511
+0.0831593
+0.0848438
+0.0848744
+0.0849615
+0.0851049
+0.0853044
+0.0855595
+0.0858625
+0.0862058
+0.0865999
+0.0870401
+0.0875328
+0.0880772
+0.0886627
+0.0892976
+0.0899814
+0.090713
+0.0914912
+0.0923148
+0.093159
+0.0940197
+0.0949232
+0.0958682
+0.0968536
+0.0978781
+0.0989345
+0.0858325
+0.0838199
+0.0818164
+0.0798227
+0.0778396
+0.0758636
+0.0738978
+0.0719449
+0.0700062
+0.0680827
+0.0661758
+0.0642871
+0.0624122
+0.0605545
+0.0587197
+0.0569102
+0.0551283
+0.0533768
+0.0516589
+0.0499777
+0.0483209
+0.046708
+0.0451439
+0.0436337
+0.0421833
+0.040799
+0.0394877
+0.0382571
+0.037115
+0.03607
+0.0351193
+0.0342669
+0.0335362
+0.0329353
+0.0324713
+0.0321502
+0.0319764
+0.0319521
+0.0320777
+0.0323516
+0.0327699
+0.0333025
+0.0339652
+0.0347536
+0.0356594
+0.0366738
+0.0377881
+0.0389938
+0.0402826
+0.0416468
+0.0430792
+0.0445734
+0.0461232
+0.0477233
+0.0493687
+0.0510552
+0.0527787
+0.0543835
+0.0560103
+0.0576739
+0.0593657
+0.0608725
+0.0623393
+0.0638475
+0.0653908
+0.0669608
+0.0685649
+0.0702006
+0.0718659
+0.0735047
+0.0751381
+0.0767992
+0.0784863
+0.0801978
+0.0819304
+0.0834752
+0.0835619
+0.0836799
+0.0838255
+0.084028
+0.084287
+0.0845922
+0.0849516
+0.0853657
+0.0858251
+0.086327
+0.0868796
+0.0874815
+0.0881249
+0.0888178
+0.0895588
+0.090347
+0.0911809
+0.0920265
+0.0928977
+0.093812
+0.0947681
+0.0957648
+0.0967932
+0.0978587
+0.0850086
+0.0829759
+0.0809515
+0.078936
+0.0769301
+0.0749346
+0.0729502
+0.0709724
+0.0690063
+0.0670541
+0.0651172
+0.0631968
+0.0612945
+0.0594111
+0.0575399
+0.055692
+0.0538698
+0.0520761
+0.0503137
+0.0485863
+0.0468975
+0.0452367
+0.0436198
+0.042055
+0.0405481
+0.039106
+0.0377359
+0.0364462
+0.0352455
+0.0341433
+0.0331494
+0.0322502
+0.0314727
+0.0308316
+0.0303354
+0.0299915
+0.029805
+0.0297789
+0.0299137
+0.0302072
+0.0306511
+0.0312166
+0.0319227
+0.0327603
+0.0337196
+0.0347907
+0.0359634
+0.0372282
+0.038576
+0.0399984
+0.0414879
+0.0430373
+0.0446405
+0.0462918
+0.0479864
+0.0497197
+0.0513654
+0.0529943
+0.0546602
+0.0563573
+0.057918
+0.0593769
+0.0608797
+0.0624232
+0.0639924
+0.0655959
+0.0672325
+0.0688999
+0.0705461
+0.0721799
+0.0738426
+0.0755322
+0.077247
+0.0789804
+0.0807336
+0.0820867
+0.0821748
+0.0823212
+0.0825255
+0.0827872
+0.0830472
+0.0833557
+0.0837203
+0.0841405
+0.0846153
+0.08514
+0.0857105
+0.086331
+0.0869916
+0.0876934
+0.0884439
+0.0892419
+0.0900861
+0.0909327
+0.0918143
+0.0927392
+0.0937061
+0.0947049
+0.0957435
+0.0968205
+0.0842335
+0.0821817
+0.0801373
+0.0781008
+0.0760728
+0.0740542
+0.0720455
+0.0700478
+0.068062
+0.0660822
+0.0641159
+0.0621646
+0.0602297
+0.058313
+0.0564161
+0.0545347
+0.0526725
+0.0508365
+0.0490296
+0.0472552
+0.0455171
+0.0438196
+0.0421546
+0.0405332
+0.0389675
+0.0374646
+0.0360322
+0.0346791
+0.033415
+0.0322503
+0.0311962
+0.0302576
+0.0294275
+0.0287408
+0.0282079
+0.0278377
+0.0276367
+0.0276086
+0.0277539
+0.02807
+0.0285397
+0.0291461
+0.0299011
+0.0307938
+0.0318125
+0.0329456
+0.0341816
+0.0355099
+0.0369205
+0.0384044
+0.0399532
+0.0415599
+0.0432179
+0.0449216
+0.046666
+0.0483575
+0.0499884
+0.0516564
+0.0533592
+0.0549792
+0.0564291
+0.0579255
+0.059465
+0.0610369
+0.0626394
+0.0642767
+0.065946
+0.0676
+0.069234
+0.0708981
+0.0725901
+0.0743074
+0.0760422
+0.0777999
+0.079579
+0.0807337
+0.0808233
+0.0809721
+0.0811798
+0.0814459
+0.0817698
+0.0821509
+0.0825289
+0.0829551
+0.0834366
+0.0839726
+0.0845619
+0.0851936
+0.0858756
+0.0865985
+0.0873687
+0.0881774
+0.0890316
+0.089879
+0.0907708
+0.0917045
+0.0926732
+0.093683
+0.0947328
+0.0958211
+0.0835088
+0.0814387
+0.0793752
+0.0773186
+0.0752696
+0.0732288
+0.0711969
+0.0691746
+0.067163
+0.0651629
+0.0631748
+0.0611934
+0.0592268
+0.0572765
+0.0553442
+0.0534318
+0.0515405
+0.0496626
+0.0478114
+0.0459901
+0.0442022
+0.0424522
+0.0407448
+0.039075
+0.0374484
+0.0358819
+0.0343837
+0.032963
+0.0316304
+0.0303974
+0.0292766
+0.0282813
+0.0274045
+0.0266658
+0.0260905
+0.0256898
+0.0254719
+0.0254414
+0.025599
+0.0259414
+0.0264411
+0.0270945
+0.0279051
+0.0288595
+0.0299441
+0.0311453
+0.03245
+0.0338463
+0.0353234
+0.0368716
+0.0384822
+0.0401478
+0.0418618
+0.0436185
+0.0453617
+0.0469945
+0.0486645
+0.0503731
+0.052059
+0.0534983
+0.0549872
+0.0565218
+0.058091
+0.0596922
+0.0613299
+0.0630012
+0.064668
+0.0663019
+0.0679672
+0.0696615
+0.0713787
+0.0731172
+0.0748794
+0.0766638
+0.0784687
+0.0794181
+0.0795092
+0.0796605
+0.0798715
+0.080142
+0.0804712
+0.0808584
+0.0813028
+0.0817922
+0.0822994
+0.0828427
+0.08344
+0.0840902
+0.0847869
+0.0855248
+0.0863048
+0.0871328
+0.0880075
+0.0888668
+0.0897653
+0.0907017
+0.091681
+0.0927016
+0.0937624
+0.0948619
+0.0828275
+0.0807439
+0.0786661
+0.0765911
+0.0745221
+0.0724602
+0.0704061
+0.0683605
+0.0663242
+0.064298
+0.062283
+0.0602802
+0.0582891
+0.0563063
+0.0543395
+0.0523905
+0.0504613
+0.0485542
+0.0466643
+0.0447963
+0.0429589
+0.041156
+0.0393924
+0.0376737
+0.0359986
+0.0343661
+0.0327987
+0.0313061
+0.0298998
+0.0285922
+0.0273977
+0.0263315
+0.0254061
+0.0246074
+0.0239829
+0.0235463
+0.0233083
+0.023275
+0.0234472
+0.0238205
+0.0243587
+0.0250665
+0.0259405
+0.0269646
+0.0281224
+0.029398
+0.0307769
+0.0322458
+0.0337929
+0.035408
+0.0370823
+0.038808
+0.0405786
+0.0423807
+0.0440143
+0.0456868
+0.0474014
+0.0491398
+0.0505874
+0.0520674
+0.0535961
+0.0551604
+0.0567598
+0.0583975
+0.0600705
+0.0617523
+0.0633857
+0.0650518
+0.0667481
+0.0684647
+0.070207
+0.0719738
+0.0737634
+0.0755741
+0.0774044
+0.0781377
+0.0782344
+0.0783881
+0.0786026
+0.0788774
+0.0792118
+0.0796052
+0.0800528
+0.0805497
+0.0811028
+0.0817109
+0.0823611
+0.0830197
+0.0837304
+0.0844846
+0.0852779
+0.0861196
+0.0870066
+0.0878925
+0.0887946
+0.0897412
+0.0907308
+0.0917621
+0.0928247
+0.093866
+0.0821953
+0.0800954
+0.0780004
+0.0759108
+0.0738271
+0.0717496
+0.0696753
+0.0676076
+0.0655479
+0.063497
+0.0614557
+0.059425
+0.0574061
+0.0554003
+0.0534058
+0.0514214
+0.0494544
+0.047507
+0.0455816
+0.0436799
+0.0417934
+0.0399379
+0.0381181
+0.0363392
+0.0346075
+0.0329263
+0.0312868
+0.0297185
+0.0282331
+0.0268445
+0.0255685
+0.0244226
+0.023426
+0.022572
+0.0218895
+0.0214103
+0.0211483
+0.0211116
+0.0213013
+0.0217115
+0.0222971
+0.0230682
+0.0240151
+0.0251178
+0.0263568
+0.0277139
+0.0291724
+0.0307181
+0.0323384
+0.0340227
+0.0357619
+0.0375483
+0.0393756
+0.04105
+0.0427261
+0.044447
+0.0461886
+0.0477001
+0.0491694
+0.0506908
+0.0522492
+0.0538459
+0.0554831
+0.0571574
+0.0588553
+0.0604875
+0.0621541
+0.063849
+0.0655676
+0.0673136
+0.0690849
+0.0708797
+0.0726962
+0.0745329
+0.0763881
+0.0768779
+0.0769841
+0.0771523
+0.0773749
+0.077654
+0.0779937
+0.0783931
+0.0788438
+0.0793483
+0.0799097
+0.0805268
+0.0811983
+0.0819229
+0.0826992
+0.0834707
+0.0842904
+0.0851419
+0.0860408
+0.0869561
+0.0878268
+0.0887105
+0.089639
+0.090611
+0.0916251
+0.0926798
+0.0816172
+0.0795019
+0.0773909
+0.0752844
+0.0731828
+0.0710867
+0.0689964
+0.0669125
+0.0648355
+0.0627622
+0.0606962
+0.0586392
+0.0565923
+0.0545565
+0.0525333
+0.0505239
+0.0485256
+0.0465393
+0.0445722
+0.0426269
+0.0407066
+0.0388054
+0.0369298
+0.0350907
+0.0332942
+0.0315475
+0.0298593
+0.0282117
+0.0266425
+0.0251663
+0.0238004
+0.0225649
+0.0214823
+0.0205686
+0.0198172
+0.0192865
+0.0189953
+0.0189544
+0.0191654
+0.0196201
+0.0202626
+0.0211082
+0.022139
+0.0233306
+0.0246596
+0.026105
+0.0276486
+0.0292748
+0.0309707
+0.0327255
+0.03453
+0.036377
+0.0381069
+0.0397864
+0.0415136
+0.043258
+0.044841
+0.0462974
+0.0478098
+0.0493607
+0.0509537
+0.0525897
+0.0542648
+0.0559756
+0.0576102
+0.0592767
+0.0609688
+0.0626897
+0.0644392
+0.066215
+0.068015
+0.0698372
+0.0716802
+0.0735422
+0.0754218
+0.0756606
+0.0757685
+0.0759394
+0.076173
+0.0764687
+0.0768187
+0.0772242
+0.0776777
+0.0781897
+0.0787594
+0.0793854
+0.0800665
+0.0808013
+0.0815883
+0.082426
+0.0833129
+0.0841782
+0.0849415
+0.085754
+0.0866133
+0.0875093
+0.0884504
+0.0894353
+0.0904626
+0.0915015
+0.081094
+0.0789648
+0.076839
+0.0747169
+0.072599
+0.0704854
+0.0683768
+0.0662734
+0.0641759
+0.0620848
+0.0600009
+0.0579246
+0.0558526
+0.0537888
+0.0517355
+0.049694
+0.0476657
+0.0456524
+0.0436495
+0.0416611
+0.0396941
+0.0377516
+0.0358362
+0.0339379
+0.0320769
+0.03026
+0.0284958
+0.0267913
+0.0251422
+0.0235722
+0.0221081
+0.0207722
+0.0195908
+0.0185933
+0.0177732
+0.0171796
+0.016852
+0.0168058
+0.0170435
+0.0175519
+0.0182643
+0.0191981
+0.020326
+0.0216178
+0.0230457
+0.0245862
+0.0262194
+0.027929
+0.0297018
+0.0315272
+0.0333924
+0.0351905
+0.0368727
+0.0386059
+0.0403524
+0.0420157
+0.0434564
+0.0449576
+0.0464992
+0.0480872
+0.049721
+0.0513962
+0.053109
+0.0547569
+0.0564204
+0.0581109
+0.0598339
+0.0615866
+0.0633665
+0.0651715
+0.0669995
+0.0688487
+0.0707174
+0.0726041
+0.0744426
+0.0744879
+0.0745974
+0.0747711
+0.0750083
+0.0753085
+0.075671
+0.0760865
+0.0765566
+0.0770761
+0.0776539
+0.0782888
+0.0789793
+0.0797241
+0.0805216
+0.0813704
+0.0822
+0.0829694
+0.0837437
+0.0845678
+0.0854389
+0.086347
+0.0873007
+0.0882893
+0.0892842
+0.0901865
+0.0806271
+0.0784852
+0.076346
+0.0742098
+0.072077
+0.0699477
+0.0678223
+0.0657012
+0.0635848
+0.0614736
+0.0593682
+0.0572692
+0.0551773
+0.0530934
+0.0510183
+0.0489481
+0.0468875
+0.0448393
+0.0428051
+0.0407872
+0.038779
+0.0367883
+0.0348216
+0.0328831
+0.0309626
+0.0290803
+0.0272402
+0.0254524
+0.0237289
+0.0220807
+0.0205104
+0.0190628
+0.0177681
+0.0166619
+0.0157688
+0.0150966
+0.0147226
+0.0146698
+0.0149415
+0.0155163
+0.0163154
+0.0173544
+0.0185946
+0.0199984
+0.021534
+0.0231752
+0.0249011
+0.0266953
+0.0285426
+0.0304306
+0.0323079
+0.0339915
+0.0357302
+0.0374776
+0.0392317
+0.040653
+0.0421402
+0.04367
+0.0452512
+0.0468815
+0.0485559
+0.05027
+0.0519287
+0.0535886
+0.0552789
+0.0570033
+0.0587588
+0.0605426
+0.0623524
+0.0641859
+0.0660412
+0.0679165
+0.0698101
+0.0717207
+0.0733159
+0.0733618
+0.0734731
+0.0736493
+0.0738902
+0.0741949
+0.0745628
+0.0749844
+0.0754634
+0.0760026
+0.0765951
+0.0772387
+0.0779386
+0.0786932
+0.0794454
+0.080213
+0.081007
+0.0817935
+0.0825674
+0.0833918
+0.0842632
+0.0851728
+0.0861216
+0.0871079
+0.0879738
+0.088884
+0.0802172
+0.0780641
+0.075913
+0.0737644
+0.0716182
+0.0694749
+0.0673346
+0.0651976
+0.0630643
+0.0609351
+0.0588104
+0.0566908
+0.0545767
+0.0524689
+0.0503683
+0.0482756
+0.046192
+0.0441177
+0.0420479
+0.0399909
+0.0379489
+0.0359244
+0.0339166
+0.0319234
+0.0299577
+0.0280088
+0.0260974
+0.0242332
+0.0224212
+0.0206773
+0.0190259
+0.0174613
+0.0160378
+0.0148029
+0.0138071
+0.0130488
+0.0126143
+0.0125526
+0.0128691
+0.013528
+0.0144361
+0.0156008
+0.0169695
+0.0184971
+0.0201475
+0.0218929
+0.0237123
+0.025582
+0.0274988
+0.0294538
+0.0311521
+0.032895
+0.0346384
+0.0364122
+0.0378955
+0.0393646
+0.0408798
+0.0424519
+0.0440768
+0.0457489
+0.0474633
+0.0491217
+0.0507807
+0.052477
+0.054202
+0.0559596
+0.0577468
+0.059561
+0.0613997
+0.0632608
+0.0651424
+0.0670428
+0.0689605
+0.070894
+0.0721691
+0.0722543
+0.0723906
+0.0725695
+0.0728139
+0.0731231
+0.0734963
+0.0739309
+0.0744167
+0.0749634
+0.0755696
+0.0762341
+0.0768978
+0.0775669
+0.0782798
+0.0790234
+0.0798203
+0.0805987
+0.081384
+0.0822173
+0.0830805
+0.083992
+0.0849503
+0.0858154
+0.0866929
+0.0876165
+0.0798579
+0.0776968
+0.0755374
+0.0733799
+0.0712238
+0.0690683
+0.066915
+0.0647642
+0.0626162
+0.0604712
+0.0583296
+0.0561918
+0.0540583
+0.0519295
+0.049806
+0.0476887
+0.0455783
+0.0434758
+0.0413817
+0.039295
+0.0372148
+0.035148
+0.0330972
+0.0310656
+0.029057
+0.0270706
+0.0250899
+0.0231448
+0.0212475
+0.0194112
+0.0176418
+0.0159771
+0.0144332
+0.0130472
+0.0119055
+0.011056
+0.0105396
+0.0104657
+0.0108433
+0.0116113
+0.0126573
+0.013971
+0.0154845
+0.017145
+0.0189137
+0.0207568
+0.0226582
+0.0246078
+0.0265949
+0.0283564
+0.0301115
+0.0318444
+0.0336229
+0.0351947
+0.0366388
+0.0381365
+0.039697
+0.0413141
+0.042982
+0.0446952
+0.0463518
+0.0480066
+0.0497029
+0.0514348
+0.0531936
+0.0549834
+0.0568013
+0.0586447
+0.0605113
+0.0623989
+0.0643058
+0.0662302
+0.0681707
+0.070126
+0.0710369
+0.0711235
+0.0712773
+0.071498
+0.0717827
+0.0720963
+0.0724748
+0.0729172
+0.0734185
+0.0739744
+0.074556
+0.0751289
+0.0757135
+0.0763566
+0.0770565
+0.0778119
+0.078621
+0.0794461
+0.0802235
+0.0810321
+0.0818833
+0.0827744
+0.083702
+0.0845587
+0.0854491
+0.0863859
+0.0795506
+0.0773835
+0.0752151
+0.0730481
+0.0708825
+0.0687185
+0.0665562
+0.0643959
+0.0622377
+0.0600818
+0.0579276
+0.0557745
+0.0536244
+0.0514776
+0.0493347
+0.0471962
+0.0450628
+0.042935
+0.0408132
+0.0386979
+0.036591
+0.0344935
+0.0324013
+0.0303231
+0.0282618
+0.0262215
+0.0242075
+0.0222196
+0.0202358
+0.0182992
+0.0164265
+0.0146326
+0.0129517
+0.0114389
+0.0101173
+0.00913611
+0.00852324
+0.00843168
+0.00889602
+0.00980702
+0.0110268
+0.0125129
+0.0141829
+0.0159764
+0.0178493
+0.0197876
+0.0217738
+0.0237959
+0.0255846
+0.0273505
+0.0291122
+0.0308926
+0.0325648
+0.0339752
+0.03545
+0.0369958
+0.0386023
+0.0402634
+0.0419732
+0.0436262
+0.0452746
+0.0469674
+0.0486999
+0.0504662
+0.0522576
+0.0540784
+0.0559257
+0.0577971
+0.0596901
+0.0616029
+0.0635337
+0.0654808
+0.067441
+0.069402
+0.069955
+0.0700429
+0.0701991
+0.0704231
+0.0707143
+0.0710719
+0.0714949
+0.0719542
+0.0723986
+0.0728653
+0.0733713
+0.0739049
+0.0744991
+0.0751525
+0.0758635
+0.0766306
+0.0774521
+0.0781826
+0.0789449
+0.0797434
+0.0805871
+0.0814809
+0.0824154
+0.0833303
+0.0842328
+0.0851721
+0.0792818
+0.0771092
+0.0749377
+0.0727674
+0.0705983
+0.0684306
+0.0662627
+0.0640925
+0.0619237
+0.0597565
+0.0575911
+0.0554277
+0.0532664
+0.0511078
+0.0489519
+0.0467993
+0.0446489
+0.0425005
+0.0403559
+0.0382152
+0.0360801
+0.0339521
+0.0318326
+0.0297234
+0.0276179
+0.0255261
+0.0234525
+0.0214022
+0.0193826
+0.0173922
+0.0154097
+0.0134918
+0.0116696
+0.00997099
+0.0084882
+0.00729098
+0.00661833
+0.0065
+0.00709195
+0.00815345
+0.00958886
+0.0112663
+0.0130962
+0.0150182
+0.016997
+0.0190224
+0.0210808
+0.0228864
+0.0246519
+0.0264534
+0.0282382
+0.0300243
+0.0313914
+0.032836
+0.0343597
+0.0359524
+0.0376036
+0.0393069
+0.0409535
+0.0425927
+0.0442796
+0.046009
+0.0477763
+0.0495755
+0.0513979
+0.0532481
+0.0551233
+0.057021
+0.058939
+0.0608754
+0.0628147
+0.0647676
+0.0667353
+0.0687026
+0.068917
+0.0690062
+0.0691647
+0.0693921
+0.0696876
+0.0700504
+0.0704041
+0.0707542
+0.0711701
+0.0716506
+0.0721514
+0.0726939
+0.073298
+0.073962
+0.0746843
+0.0754634
+0.0762064
+0.0769051
+0.0776561
+0.078461
+0.0793183
+0.0802213
+0.081167
+0.0821401
+0.0830453
+0.0839979
+0.0790728
+0.0768943
+0.0747166
+0.0725396
+0.0703635
+0.0681883
+0.0660142
+0.0638412
+0.0616694
+0.059499
+0.0573302
+0.0551619
+0.0529899
+0.0508195
+0.0486508
+0.0464843
+0.0443201
+0.0421587
+0.0400004
+0.0378459
+0.0356958
+0.0335442
+0.0313972
+0.0292566
+0.0271241
+0.0250016
+0.0228831
+0.0207767
+0.0186896
+0.0166293
+0.0146066
+0.0126177
+0.01065
+0.00878568
+0.00709165
+0.00569311
+0.00480819
+0.00471725
+0.0055012
+0.00681014
+0.00847617
+0.0103358
+0.0123049
+0.0143334
+0.0163897
+0.018469
+0.0203026
+0.0220584
+0.0238547
+0.025674
+0.0274818
+0.0289087
+0.0303134
+0.0318071
+0.0333778
+0.0350152
+0.0367085
+0.0383439
+0.039971
+0.0416489
+0.0433725
+0.0451367
+0.0469298
+0.0487533
+0.0506059
+0.0524846
+0.0543866
+0.0563091
+0.058233
+0.0601751
+0.0621338
+0.0641046
+0.066037
+0.067772
+0.0679288
+0.0680193
+0.0681801
+0.0684107
+0.0686407
+0.0688876
+0.0692031
+0.0695658
+0.0699887
+0.0704749
+0.0709733
+0.0715247
+0.0721386
+0.0728131
+0.0735468
+0.0742817
+0.0749309
+0.075638
+0.0764014
+0.0772195
+0.0780886
+0.078999
+0.0799591
+0.0809671
+0.0818585
+0.0827798
+0.0789241
+0.0767414
+0.0745592
+0.0723775
+0.0701963
+0.0680158
+0.065836
+0.0636569
+0.0614786
+0.0593012
+0.0571249
+0.0549497
+0.0527757
+0.0506033
+0.0484324
+0.0462635
+0.0440963
+0.0419234
+0.0397523
+0.0375836
+0.0354175
+0.0332547
+0.0310958
+0.0289416
+0.0267916
+0.0246404
+0.0224969
+0.0203635
+0.018235
+0.0161167
+0.0140206
+0.0119579
+0.00992131
+0.00795665
+0.00605576
+0.00441043
+0.00328308
+0.00328751
+0.0043346
+0.00592991
+0.00778724
+0.00977876
+0.0118361
+0.0139061
+0.0160082
+0.0178823
+0.0196012
+0.0213893
+0.0232351
+0.0250274
+0.0265557
+0.027907
+0.0293597
+0.0308995
+0.0325141
+0.0341928
+0.0358014
+0.0374132
+0.0390814
+0.0407991
+0.0425497
+0.0443369
+0.0461588
+0.0480116
+0.0498918
+0.0517964
+0.0537072
+0.0556348
+0.0575812
+0.0595446
+0.0613728
+0.0630138
+0.0646873
+0.066391
+0.0669879
+0.0670853
+0.0671238
+0.0672337
+0.0674147
+0.0676661
+0.0679872
+0.068377
+0.0688344
+0.0693374
+0.069844
+0.0704043
+0.0710278
+0.0717128
+0.072431
+0.073031
+0.0736912
+0.0744101
+0.075186
+0.0760171
+0.0768947
+0.0778192
+0.0787936
+0.0797199
+0.0806062
+0.0815417
+0.0787408
+0.0765766
+0.0744139
+0.0722528
+0.0700937
+0.0679136
+0.0657303
+0.0635476
+0.0613654
+0.0591839
+0.0570031
+0.0548231
+0.0526439
+0.0504657
+0.0482887
+0.046113
+0.0439388
+0.0417662
+0.0395953
+0.0374248
+0.0352559
+0.03309
+0.0309275
+0.0287651
+0.0266026
+0.0244452
+0.0222942
+0.0201518
+0.0180139
+0.0158826
+0.0137619
+0.011654
+0.00958258
+0.00754026
+0.00559949
+0.00381651
+0.00257377
+0.00261396
+0.00384858
+0.00561879
+0.00754688
+0.00958236
+0.0116561
+0.0137661
+0.0156675
+0.0173293
+0.0190981
+0.0209292
+0.0227214
+0.0243399
+0.0256494
+0.027046
+0.0285425
+0.0301241
+0.0317781
+0.033334
+0.0349223
+0.0365729
+0.0382778
+0.0400299
+0.0418128
+0.0436301
+0.0454804
+0.047356
+0.0492528
+0.0511606
+0.0530903
+0.0550395
+0.0566701
+0.0582788
+0.0599244
+0.061604
+0.0633148
+0.0650544
+0.065787
+0.0658102
+0.065852
+0.0659642
+0.0661488
+0.0664052
+0.0667326
+0.0671299
+0.0675959
+0.0681292
+0.0686741
+0.0692708
+0.0699309
+0.0706386
+0.0712098
+0.07182
+0.0724912
+0.0732219
+0.0740103
+0.0748545
+0.0757455
+0.0766838
+0.0776344
+0.0784833
+0.0793837
+0.0803139
+0.07856
+0.0763906
+0.0742225
+0.0720558
+0.0698905
+0.0677269
+0.0655651
+0.0634053
+0.0612476
+0.0590924
+0.0569399
+0.0547806
+0.0525998
+0.05042
+0.0482411
+0.0460633
+0.0438868
+0.0417118
+0.0395384
+0.037366
+0.0351948
+0.0330249
+0.0308579
+0.0286944
+0.0265354
+0.0243821
+0.0222361
+0.0200997
+0.0179715
+0.0158526
+0.0137562
+0.0116751
+0.00962806
+0.00763323
+0.00574802
+0.00413357
+0.00310682
+0.00318678
+0.00432036
+0.00596968
+0.00785304
+0.0098387
+0.0118567
+0.0137934
+0.0153491
+0.017042
+0.0188131
+0.0205617
+0.0223301
+0.0235523
+0.0249033
+0.0263395
+0.0278739
+0.0294914
+0.0309802
+0.0325359
+0.0341613
+0.035847
+0.0375848
+0.0393678
+0.041176
+0.0430128
+0.0448815
+0.0467715
+0.048678
+0.0504279
+0.0520035
+0.0535732
+0.0551852
+0.056836
+0.0585222
+0.0602408
+0.0619893
+0.0637651
+0.0645571
+0.0645597
+0.0646143
+0.0647381
+0.0649262
+0.0651875
+0.0655209
+0.0659255
+0.0664
+0.0669428
+0.0675249
+0.0681315
+0.0688026
+0.0694791
+0.0700358
+0.0706561
+0.0713384
+0.0720808
+0.0728814
+0.0737381
+0.074638
+0.07559
+0.0764248
+0.0772756
+0.0781766
+0.079116
+0.07844
+0.0762672
+0.0740955
+0.0719249
+0.0697556
+0.0675877
+0.0654213
+0.0632565
+0.0610936
+0.0589328
+0.0567742
+0.0546182
+0.0524651
+0.0503152
+0.048169
+0.046027
+0.0438898
+0.041753
+0.0395819
+0.0374132
+0.0352472
+0.0330844
+0.0309256
+0.0287716
+0.0266235
+0.0244831
+0.0223514
+0.0202302
+0.0181231
+0.0160374
+0.0139838
+0.0119789
+0.0100511
+0.00818529
+0.00651424
+0.00519645
+0.0044242
+0.00458898
+0.00552286
+0.00694309
+0.00862493
+0.0104597
+0.0123494
+0.0137691
+0.0153243
+0.0169815
+0.0186571
+0.020419
+0.0216913
+0.0229476
+0.0243321
+0.0258001
+0.027349
+0.0287678
+0.0302787
+0.0318687
+0.0335265
+0.0352425
+0.0370087
+0.0388022
+0.0406282
+0.0424883
+0.0442902
+0.0457977
+0.0473475
+0.0489055
+0.0504765
+0.0520922
+0.0537487
+0.0554422
+0.0571695
+0.0589277
+0.060714
+0.062526
+0.0633437
+0.0633236
+0.0633792
+0.0635104
+0.0637167
+0.0639974
+0.0643515
+0.0647729
+0.0652557
+0.065808
+0.0663822
+0.0670014
+0.0676858
+0.0683456
+0.0689115
+0.0695419
+0.0702349
+0.0709888
+0.0718013
+0.0726591
+0.0735714
+0.0744239
+0.0752354
+0.0760986
+0.0770025
+0.0779545
+0.0783811
+0.0762066
+0.0740331
+0.0718607
+0.0696893
+0.0675193
+0.0653506
+0.0631834
+0.0610179
+0.0588543
+0.0566928
+0.0545336
+0.052377
+0.0502233
+0.048073
+0.0459265
+0.0437844
+0.0416474
+0.0395162
+0.0373919
+0.0352757
+0.0331652
+0.0310615
+0.0289702
+0.0268673
+0.0247479
+0.0226421
+0.020554
+0.0184897
+0.0164582
+0.0144731
+0.0125566
+0.0107194
+0.00902172
+0.00758131
+0.00653288
+0.00607784
+0.00625317
+0.00702014
+0.00819348
+0.009686
+0.0113533
+0.0126673
+0.0140376
+0.0155471
+0.0170904
+0.0187327
+0.0201374
+0.0212601
+0.0225404
+0.0239485
+0.0253885
+0.0267319
+0.0281817
+0.0297225
+0.0313407
+0.033025
+0.0347658
+0.036534
+0.0383417
+0.0397718
+0.0412295
+0.0427204
+0.0442695
+0.0458075
+0.0473799
+0.0489998
+0.0506627
+0.0523644
+0.0541013
+0.0558701
+0.0576678
+0.059492
+0.0612825
+0.0621606
+0.0621401
+0.0621968
+0.0623306
+0.0625408
+0.0628267
+0.0631873
+0.0636214
+0.0641274
+0.0647037
+0.0652685
+0.0658981
+0.0665939
+0.0672644
+0.0678393
+0.0684796
+0.0691833
+0.0699481
+0.0707606
+0.0716301
+0.0724588
+0.0732677
+0.0740729
+0.0749254
+0.0758136
+0.0767471
+0.0783833
+0.0762089
+0.0740355
+0.0718631
+0.0696919
+0.0675219
+0.0653533
+0.0631863
+0.0610209
+0.0588573
+0.0566959
+0.0545368
+0.0523804
+0.0502269
+0.0480767
+0.0459304
+0.0437885
+0.0416516
+0.0395207
+0.0373966
+0.0352807
+0.0331706
+0.0310676
+0.0289776
+0.0269036
+0.0248496
+0.0228211
+0.0208255
+0.0188732
+0.0169791
+0.0151652
+0.0133912
+0.0117032
+0.010166
+0.00890656
+0.00805633
+0.00770769
+0.00790244
+0.00856407
+0.00956124
+0.0108927
+0.0122333
+0.013324
+0.0145672
+0.0159124
+0.0174166
+0.0189393
+0.0199146
+0.0210492
+0.0223416
+0.023663
+0.0249158
+0.0262834
+0.0277567
+0.0293198
+0.0309564
+0.0326549
+0.0340654
+0.0353548
+0.0367297
+0.0381612
+0.0396464
+0.041192
+0.0427096
+0.0442836
+0.0459082
+0.0475782
+0.0492891
+0.0510366
+0.0528172
+0.0546276
+0.0564613
+0.0582436
+0.0600529
+0.0609262
+0.0609205
+0.0609936
+0.0611452
+0.0613746
+0.061681
+0.0620517
+0.062464
+0.0629499
+0.0635077
+0.0641353
+0.0648261
+0.065552
+0.0662381
+0.0668218
+0.0674717
+0.0681853
+0.068949
+0.0697724
+0.0705629
+0.0712733
+0.0720258
+0.0728364
+0.0737033
+0.0746035
+0.0755519
+0.0784468
+0.0762742
+0.0741027
+0.0719324
+0.0697633
+0.0675956
+0.0654294
+0.063265
+0.0611024
+0.0589419
+0.0567836
+0.054628
+0.0524753
+0.0503248
+0.0481778
+0.046035
+0.0438969
+0.0417642
+0.0396379
+0.0375189
+0.0354087
+0.0333089
+0.0312216
+0.0291476
+0.027088
+0.0250491
+0.0230382
+0.0210631
+0.0191351
+0.0172698
+0.0154899
+0.0138207
+0.0123031
+0.0110144
+0.0100282
+0.00943903
+0.00931188
+0.00960512
+0.0101973
+0.0110592
+0.0121529
+0.0131544
+0.0141914
+0.0152741
+0.0165446
+0.0178676
+0.0189698
+0.0199182
+0.0210527
+0.0222054
+0.0233576
+0.024618
+0.025995
+0.0274769
+0.028842
+0.02993
+0.0310824
+0.0323423
+0.0336973
+0.035098
+0.0365764
+0.0380966
+0.0396117
+0.0411876
+0.0428176
+0.0444957
+0.0462168
+0.0479762
+0.0497699
+0.0515942
+0.0534178
+0.0552114
+0.0570327
+0.0588792
+0.059685
+0.0596792
+0.0597538
+0.0599085
+0.0601426
+0.0604553
+0.0608177
+0.0612383
+0.0617339
+0.0623026
+0.0629424
+0.0636512
+0.0644268
+0.0652633
+0.0658615
+0.0665202
+0.0672315
+0.0680051
+0.0687024
+0.0693512
+0.0700559
+0.0708213
+0.0716385
+0.0725029
+0.0734152
+0.0743788
+0.0785682
+0.0763984
+0.0742297
+0.0720624
+0.0698965
+0.0677323
+0.0655698
+0.0634092
+0.0612508
+0.0590947
+0.0569413
+0.0547908
+0.0526437
+0.0505003
+0.0483611
+0.0462268
+0.044098
+0.0419755
+0.0398604
+0.037754
+0.0356577
+0.0335735
+0.0315037
+0.0294515
+0.0274206
+0.0254154
+0.023436
+0.0214978
+0.0196127
+0.0177978
+0.0160609
+0.0144467
+0.0130023
+0.0117869
+0.0108565
+0.0103148
+0.0102237
+0.0105319
+0.0112296
+0.0121432
+0.0132164
+0.0142669
+0.0152154
+0.0161925
+0.0172872
+0.018463
+0.0191904
+0.0201284
+0.021105
+0.0220979
+0.0232204
+0.0243924
+0.0251315
+0.0260344
+0.0270233
+0.0281243
+0.0293477
+0.0306578
+0.0320416
+0.0335116
+0.0350018
+0.0365138
+0.0380918
+0.039728
+0.0414155
+0.0431483
+0.044921
+0.0467292
+0.0485689
+0.0503808
+0.0521868
+0.0540213
+0.0558814
+0.0577636
+0.0584401
+0.0584936
+0.0585697
+0.0587275
+0.0589663
+0.0592852
+0.0596387
+0.0600676
+0.0605727
+0.0611522
+0.061804
+0.0625257
+0.063315
+0.0641472
+0.0649557
+0.0656154
+0.0663355
+0.0669028
+0.0675125
+0.0681481
+0.0688475
+0.0696088
+0.0704301
+0.0713042
+0.0722295
+0.0732087
+0.0780405
+0.0765768
+0.0744133
+0.0722515
+0.0700915
+0.0679335
+0.0657776
+0.0636241
+0.0614732
+0.0593252
+0.0571804
+0.0550393
+0.0529023
+0.0507698
+0.0486425
+0.046521
+0.0444063
+0.0422994
+0.0402014
+0.0381138
+0.0360384
+0.0339725
+0.0319225
+0.0298925
+0.0278868
+0.025911
+0.0239727
+0.0220815
+0.0202509
+0.0184987
+0.0168494
+0.0153363
+0.0139773
+0.0128335
+0.0119846
+0.0114962
+0.0114145
+0.0117481
+0.0123586
+0.0132566
+0.0143768
+0.0154958
+0.0164204
+0.0172313
+0.0182638
+0.0189445
+0.0196541
+0.0204195
+0.0209723
+0.0213233
+0.0218129
+0.0224922
+0.0232746
+0.0241643
+0.0251998
+0.0263769
+0.0276313
+0.0289941
+0.0304536
+0.0319075
+0.0334159
+0.0349965
+0.03664
+0.0383382
+0.0400843
+0.0418721
+0.0436967
+0.0455398
+0.0473518
+0.0491715
+0.0510203
+0.0528951
+0.0547892
+0.0567046
+0.057204
+0.0572602
+0.0573865
+0.0575829
+0.0578491
+0.0581602
+0.058518
+0.058955
+0.0594696
+0.0600597
+0.0607232
+0.0614404
+0.0621987
+0.063024
+0.0638649
+0.0646903
+0.0651789
+0.0657211
+0.0663014
+0.0669485
+0.0676603
+0.0684348
+0.0692674
+0.0701512
+0.0710915
+0.0720862
+0.0766368
+0.0757112
+0.074642
+0.0724854
+0.070331
+0.0681788
+0.0660292
+0.0638824
+0.0617387
+0.0595984
+0.0574618
+0.0553296
+0.053202
+0.0510798
+0.0489636
+0.0468543
+0.0447528
+0.0426603
+0.0405781
+0.038508
+0.036452
+0.0344126
+0.032393
+0.030397
+0.0284298
+0.0264976
+0.0246088
+0.022774
+0.0210049
+0.0193191
+0.0177327
+0.0162789
+0.0150051
+0.0139595
+0.0131833
+0.0127409
+0.0126648
+0.0129002
+0.0134865
+0.014383
+0.0154881
+0.0166286
+0.0172862
+0.0179706
+0.0187245
+0.018985
+0.0188046
+0.0188472
+0.0190481
+0.0193739
+0.0198994
+0.0205667
+0.0213552
+0.0223222
+0.0234159
+0.0246226
+0.0259585
+0.0273929
+0.0288141
+0.0303181
+0.0319018
+0.0335538
+0.0352646
+0.0370259
+0.038831
+0.0406739
+0.0425157
+0.0443324
+0.0461671
+0.0480316
+0.0499192
+0.0518293
+0.0537609
+0.0557116
+0.0559219
+0.0559793
+0.0561085
+0.0563227
+0.0566079
+0.0569345
+0.0572998
+0.057746
+0.0582712
+0.0588732
+0.0595499
+0.0602985
+0.0611128
+0.0619526
+0.0628225
+0.0635594
+0.0640294
+0.0645507
+0.0651415
+0.0657999
+0.066524
+0.0673114
+0.0681504
+0.0690485
+0.0700036
+0.0710043
+0.0752707
+0.0743281
+0.0734387
+0.0725951
+0.070595
+0.0684512
+0.0663104
+0.064173
+0.0620393
+0.0599097
+0.0577847
+0.0556648
+0.0535506
+0.0514428
+0.0493422
+0.0472497
+0.0451666
+0.0430942
+0.0410341
+0.0389882
+0.0369589
+0.0349491
+0.0329623
+0.0310031
+0.0290769
+0.0271907
+0.0253536
+0.0235736
+0.0218515
+0.0202199
+0.0187029
+0.0173307
+0.0161389
+0.0151591
+0.0144475
+0.014045
+0.0139782
+0.0142008
+0.0147355
+0.015563
+0.0166341
+0.0171802
+0.0176751
+0.0177936
+0.0173773
+0.0170507
+0.0168539
+0.0168712
+0.0170443
+0.0174706
+0.0179618
+0.0186297
+0.0194932
+0.020491
+0.0216392
+0.0229396
+0.0243146
+0.0257218
+0.0272204
+0.0288078
+0.03047
+0.0321956
+0.0339748
+0.0357997
+0.0376517
+0.0394992
+0.0413245
+0.0431759
+0.0450554
+0.046959
+0.0488866
+0.0508356
+0.0528035
+0.0547116
+0.0546855
+0.054747
+0.0548883
+0.0551072
+0.0553874
+0.0557249
+0.0560985
+0.0565541
+0.0570903
+0.0577047
+0.0583948
+0.0591581
+0.0599917
+0.0608927
+0.0618401
+0.0624373
+0.0628992
+0.0634334
+0.0640355
+0.0647052
+0.0654322
+0.0662223
+0.0670747
+0.0679828
+0.0689393
+0.0699513
+0.0739443
+0.0729845
+0.0720785
+0.0712283
+0.0704243
+0.0687922
+0.0666624
+0.0645367
+0.0624154
+0.0602991
+0.0581883
+0.0560837
+0.0539859
+0.0518957
+0.0498142
+0.0477425
+0.0456819
+0.0436336
+0.0415998
+0.0395827
+0.037585
+0.0356101
+0.0336608
+0.0317338
+0.0298426
+0.0279951
+0.0262005
+0.0244705
+0.0228199
+0.021267
+0.0198348
+0.0185424
+0.0174229
+0.0165194
+0.0158689
+0.0155034
+0.0154225
+0.0156118
+0.0160997
+0.0168603
+0.0174984
+0.0175813
+0.0168379
+0.0161049
+0.0155157
+0.0150776
+0.0148105
+0.0148646
+0.0150924
+0.0155391
+0.0160401
+0.0167512
+0.0176255
+0.0186931
+0.019924
+0.021242
+0.0226311
+0.0241228
+0.0257147
+0.0273895
+0.0291328
+0.030933
+0.0327794
+0.034627
+0.0364881
+0.0383311
+0.0402
+0.0420951
+0.0440177
+0.0459643
+0.047932
+0.0499182
+0.0519209
+0.0535318
+0.0535051
+0.0535605
+0.0536706
+0.05386
+0.0541374
+0.0545016
+0.0549399
+0.055405
+0.0559521
+0.0565788
+0.0572824
+0.0580602
+0.0589093
+0.0598266
+0.060809
+0.0613305
+0.0618007
+0.0623443
+0.0629546
+0.0636248
+0.0643625
+0.0651656
+0.0660316
+0.0669463
+0.0679129
+0.0689134
+0.0726597
+0.0716827
+0.0707601
+0.069894
+0.0690135
+0.068087
+0.067073
+0.0649604
+0.0628532
+0.0607518
+0.058657
+0.0565695
+0.0544901
+0.0524197
+0.0503596
+0.0483109
+0.0462752
+0.0442543
+0.0422503
+0.0402658
+0.0382972
+0.0363514
+0.0344351
+0.0325534
+0.0307127
+0.0289208
+0.0271874
+0.0255245
+0.0239466
+0.0224673
+0.0211025
+0.0198861
+0.0188465
+0.0180146
+0.0174201
+0.0170828
+0.0169735
+0.0171456
+0.017591
+0.0181779
+0.0174401
+0.0162116
+0.0151069
+0.0142314
+0.0135611
+0.013096
+0.0127878
+0.012844
+0.0131282
+0.0135717
+0.0141235
+0.0148536
+0.0158052
+0.0169051
+0.0181781
+0.0195428
+0.0210253
+0.022623
+0.0243134
+0.0260783
+0.0279036
+0.0297635
+0.0316073
+0.0334928
+0.0353529
+0.0372404
+0.0391562
+0.0410995
+0.0430666
+0.0450543
+0.04706
+0.0490815
+0.0511004
+0.0523232
+0.0523112
+0.0523401
+0.0524604
+0.0526641
+0.0529479
+0.0533201
+0.0537792
+0.054312
+0.05487
+0.0555089
+0.056226
+0.0570182
+0.0578825
+0.0588158
+0.0595889
+0.0602738
+0.0607613
+0.0613092
+0.0619197
+0.0626009
+0.0633506
+0.0641404
+0.0649801
+0.065882
+0.0668414
+0.0678574
+0.0714192
+0.0704251
+0.0694857
+0.068582
+0.067579
+0.0666329
+0.0657461
+0.0649081
+0.0632553
+0.0611692
+0.0590906
+0.0570205
+0.0549597
+0.0529093
+0.0508706
+0.0488451
+0.0468345
+0.0448407
+0.0428662
+0.0409117
+0.0389791
+0.0370752
+0.0352046
+0.033373
+0.0315872
+0.0298554
+0.0281875
+0.0265955
+0.0250856
+0.0236692
+0.0223779
+0.0212346
+0.0202644
+0.019493
+0.018945
+0.0185929
+0.0184422
+0.018537
+0.0188515
+0.017506
+0.0159913
+0.0146194
+0.01338
+0.0123553
+0.0115889
+0.0111418
+0.0108187
+0.0107643
+0.0110731
+0.0115597
+0.0121511
+0.0129743
+0.0139211
+0.0151281
+0.0164581
+0.017928
+0.0195334
+0.0212437
+0.0230355
+0.0248855
+0.0267329
+0.0286043
+0.0305163
+0.0323928
+0.0343051
+0.0362439
+0.0382097
+0.0401988
+0.0422078
+0.0442341
+0.0462533
+0.0482624
+0.0502866
+0.0510763
+0.0511028
+0.051169
+0.0512909
+0.0515058
+0.0518125
+0.0521987
+0.0526675
+0.0532224
+0.0538544
+0.0545052
+0.0552353
+0.0560416
+0.0568805
+0.057736
+0.0584051
+0.0591005
+0.0597172
+0.0602944
+0.0609246
+0.0615746
+0.062295
+0.0630817
+0.0639323
+0.0648458
+0.065817
+0.0668458
+0.0702252
+0.0692139
+0.0682579
+0.0671954
+0.0661736
+0.0652073
+0.0643012
+0.0634578
+0.0626711
+0.061513
+0.0594465
+0.0573892
+0.0553421
+0.0533065
+0.0512836
+0.0492715
+0.0472746
+0.0452956
+0.043337
+0.0414017
+0.039493
+0.0376151
+0.0357728
+0.0339719
+0.0322193
+0.0305233
+0.028894
+0.0273267
+0.0258474
+0.024475
+0.0232284
+0.022129
+0.0211785
+0.0203974
+0.0198287
+0.019491
+0.0193963
+0.0195061
+0.0179773
+0.0162637
+0.0146417
+0.0131396
+0.0117218
+0.010559
+0.00968613
+0.0091386
+0.00880301
+0.00872547
+0.00907978
+0.00957072
+0.0102538
+0.0110003
+0.0121025
+0.0133796
+0.014831
+0.016447
+0.0181836
+0.0200095
+0.0218694
+0.0237198
+0.0256239
+0.027559
+0.029461
+0.0314002
+0.0333649
+0.0353551
+0.0373677
+0.0393993
+0.0414183
+0.04343
+0.0454583
+0.0475009
+0.0495563
+0.0498797
+0.0499047
+0.049935
+0.0500613
+0.0502827
+0.0505923
+0.0509818
+0.0514617
+0.0520294
+0.0526822
+0.053417
+0.0541833
+0.054973
+0.0557718
+0.0566262
+0.0572774
+0.0579862
+0.0586794
+0.0592441
+0.0598425
+0.0605011
+0.061231
+0.0620297
+0.0628947
+0.0638231
+0.0647664
+0.0655756
+0.0690784
+0.0680517
+0.0669263
+0.0658413
+0.0648114
+0.0638245
+0.0628985
+0.062036
+0.0612398
+0.0605026
+0.0598326
+0.0578333
+0.0557993
+0.0537772
+0.0517687
+0.0497756
+0.0477997
+0.0458434
+0.0439092
+0.0420003
+0.0401201
+0.0382706
+0.0364471
+0.0346661
+0.0329345
+0.0312606
+0.0296542
+0.0281267
+0.0266917
+0.0253651
+0.0241645
+0.0230883
+0.0221584
+0.0214131
+0.020872
+0.0205186
+0.0202908
+0.0188062
+0.0169785
+0.0151822
+0.0134082
+0.0117753
+0.0102408
+0.00890083
+0.00789087
+0.00710305
+0.00668002
+0.00664635
+0.00707538
+0.00757042
+0.00821051
+0.00911897
+0.0103128
+0.0117347
+0.0133659
+0.0151391
+0.0169956
+0.0188426
+0.0207317
+0.0226752
+0.0246364
+0.026567
+0.0285352
+0.030529
+0.0325451
+0.0345825
+0.0366002
+0.0386144
+0.0406468
+0.0426948
+0.0447564
+0.0467522
+0.0482969
+0.0486339
+0.0486618
+0.0487027
+0.0488321
+0.0490591
+0.0493823
+0.0497999
+0.0502915
+0.050872
+0.0515391
+0.0522655
+0.0530089
+0.0538311
+0.0547284
+0.0555578
+0.0562123
+0.0569345
+0.0575792
+0.0581463
+0.0587755
+0.059447
+0.0601897
+0.0610021
+0.0618814
+0.0626723
+0.0634326
+0.0642586
+0.0679822
+0.0667998
+0.0656397
+0.064533
+0.0634823
+0.0624768
+0.061532
+0.0606517
+0.0598387
+0.0590957
+0.0584121
+0.0578009
+0.0563158
+0.0543143
+0.052328
+0.0503587
+0.048407
+0.0464713
+0.0445527
+0.0426602
+0.0407977
+0.0389692
+0.03718
+0.0354358
+0.0337438
+0.0321121
+0.0305505
+0.0290701
+0.0276841
+0.0264073
+0.0252147
+0.0241003
+0.0231369
+0.0222996
+0.0216514
+0.0212107
+0.0199773
+0.0180025
+0.0160838
+0.0142417
+0.0124077
+0.0106299
+0.00896229
+0.00743492
+0.00614976
+0.00516974
+0.00461619
+0.00457349
+0.00491821
+0.0055178
+0.00622484
+0.00726343
+0.00863956
+0.0102951
+0.0121175
+0.0139804
+0.0158434
+0.0177814
+0.0197721
+0.0217624
+0.0237246
+0.0257237
+0.0277491
+0.0297923
+0.0318067
+0.0338225
+0.0358588
+0.0379124
+0.0399805
+0.042061
+0.0436549
+0.0451992
+0.0467952
+0.0474566
+0.0474562
+0.0474881
+0.0476208
+0.0478535
+0.0481848
+0.0486127
+0.0491346
+0.0497294
+0.050412
+0.0511174
+0.0518771
+0.0527171
+0.0536333
+0.0545566
+0.0552137
+0.0559488
+0.0565158
+0.0570935
+0.0577485
+0.0584497
+0.0592049
+0.0600188
+0.0606642
+0.0613712
+0.0621474
+0.0629903
+0.066817
+0.065584
+0.0644019
+0.0632736
+0.0622012
+0.0611741
+0.0602089
+0.0593089
+0.0584772
+0.0577167
+0.0570303
+0.0564143
+0.0558672
+0.0549068
+0.0529387
+0.0509887
+0.0490591
+0.0471502
+0.0452604
+0.0433988
+0.0415693
+0.0397764
+0.0380251
+0.0363216
+0.0346728
+0.0330653
+0.0314866
+0.0299849
+0.0285616
+0.0272289
+0.0260074
+0.0249151
+0.0239391
+0.0231299
+0.0225056
+0.0215314
+0.0194648
+0.0174273
+0.0153936
+0.0133921
+0.0114469
+0.00957958
+0.00786305
+0.00609477
+0.00452511
+0.00336344
+0.00259549
+0.00254138
+0.00279927
+0.00342189
+0.00423657
+0.0055478
+0.00724758
+0.00912082
+0.0109643
+0.0128911
+0.0148911
+0.0169134
+0.0189262
+0.0209549
+0.0229861
+0.0250432
+0.0270509
+0.0290663
+0.0311054
+0.0331639
+0.0352383
+0.037326
+0.0390755
+0.0405576
+0.0421016
+0.0437009
+0.0453496
+0.0463271
+0.0463126
+0.0463452
+0.0464812
+0.0467196
+0.0470588
+0.0474968
+0.048027
+0.048636
+0.0493336
+0.0500251
+0.0508014
+0.0516424
+0.0525598
+0.053536
+0.0542852
+0.0549772
+0.0554844
+0.0560727
+0.0567395
+0.0574821
+0.0581598
+0.0587478
+0.0594
+0.0601218
+0.060914
+0.0617737
+0.0656744
+0.0644192
+0.0632149
+0.0620645
+0.060971
+0.0599232
+0.0589375
+0.0580178
+0.0571673
+0.0563892
+0.0556864
+0.0550618
+0.0545182
+0.054042
+0.0535969
+0.0517011
+0.0497991
+0.047918
+0.0460596
+0.0442318
+0.0424213
+0.0406161
+0.0388505
+0.0371303
+0.035462
+0.0338533
+0.0322972
+0.0308105
+0.0294119
+0.0281146
+0.0269297
+0.0258443
+0.0249046
+0.0241279
+0.0233627
+0.0212466
+0.0191058
+0.016977
+0.0148663
+0.0127825
+0.0107413
+0.00877245
+0.00689723
+0.00503546
+0.00322293
+0.00170418
+0.000608404
+0.000563065
+0.000728033
+0.00138952
+0.00247092
+0.00423564
+0.00611628
+0.00801111
+0.0100272
+0.0120555
+0.0140812
+0.01615
+0.0182472
+0.0203147
+0.0223567
+0.0243665
+0.026405
+0.0284662
+0.0305454
+0.0326392
+0.0345838
+0.0359842
+0.0374605
+0.039004
+0.0406071
+0.042263
+0.0436812
+0.0447371
+0.0452079
+0.0452619
+0.045404
+0.0456481
+0.0459953
+0.0464296
+0.046956
+0.047569
+0.048257
+0.0489654
+0.0497395
+0.0505966
+0.0515327
+0.0525435
+0.0534304
+0.0539959
+0.0545123
+0.0550828
+0.0556782
+0.0563525
+0.0569317
+0.0575281
+0.0581907
+0.0589274
+0.0597354
+0.0605994
+0.0645723
+0.0632947
+0.0620682
+0.0608958
+0.0597807
+0.0587261
+0.057721
+0.0567816
+0.0559123
+0.0551164
+0.0543972
+0.0537576
+0.0532007
+0.0527289
+0.052334
+0.0517535
+0.0505716
+0.0486744
+0.0468027
+0.04496
+0.0431497
+0.0413763
+0.039644
+0.0379457
+0.0362942
+0.0347025
+0.0331791
+0.0317339
+0.0303781
+0.0291242
+0.0279638
+0.02692
+0.0260193
+0.0251291
+0.0229877
+0.0208565
+0.0187391
+0.0166406
+0.0145693
+0.0124856
+0.0103767
+0.00831024
+0.00631176
+0.00426181
+0.00234851
+0.000518116
+-0.00105921
+-0.00143593
+-0.00131541
+-0.000536554
+0.00142044
+0.00318354
+0.00520477
+0.00725274
+0.00929244
+0.0113884
+0.0135044
+0.015583
+0.0176887
+0.0197424
+0.0217739
+0.0238336
+0.0259148
+0.0280127
+0.0301238
+0.0315087
+0.0328942
+0.0343636
+0.0359066
+0.0375141
+0.0391782
+0.0408919
+0.0420403
+0.0431363
+0.0441108
+0.0441667
+0.044331
+0.0445752
+0.0449099
+0.0453482
+0.0458869
+0.0465148
+0.0472242
+0.0479435
+0.0487339
+0.0496085
+0.0505629
+0.051545
+0.052524
+0.0529176
+0.0533575
+0.0538829
+0.0544914
+0.0551802
+0.0557626
+0.0563638
+0.05704
+0.057778
+0.0585843
+0.0594605
+0.0635251
+0.062226
+0.060978
+0.0597842
+0.058648
+0.0575728
+0.0565607
+0.0556017
+0.0547137
+0.0539001
+0.0531644
+0.0525098
+0.0519395
+0.0514562
+0.0510623
+0.0507161
+0.0500123
+0.0493914
+0.0475505
+0.0457314
+0.0439461
+0.0421925
+0.0404772
+0.0388098
+0.0371967
+0.0356454
+0.034164
+0.0327624
+0.0314509
+0.0302415
+0.0291261
+0.0281256
+0.0270989
+0.0249342
+0.0227745
+0.0206212
+0.0184768
+0.0163447
+0.0142304
+0.0121432
+0.0100999
+0.00813022
+0.00606969
+0.00391453
+0.00177762
+-0.000352896
+-0.00216987
+-0.00353087
+-0.00324986
+-0.00144291
+0.000644616
+0.00270538
+0.00470681
+0.00681695
+0.00892748
+0.0109984
+0.0131083
+0.015241
+0.017258
+0.0193024
+0.0213757
+0.0234704
+0.0255811
+0.0271691
+0.0284387
+0.0298059
+0.0312669
+0.0328093
+0.034422
+0.0360957
+0.0378222
+0.0393973
+0.0404514
+0.0415894
+0.0428093
+0.0431479
+0.0433038
+0.0435579
+0.0439004
+0.0443486
+0.0448993
+0.0455417
+0.046266
+0.0469999
+0.0478059
+0.0486847
+0.0495821
+0.0505585
+0.0513578
+0.0517526
+0.0522023
+0.0527393
+0.0533608
+0.0540641
+0.0546516
+0.0552475
+0.0559189
+0.0566671
+0.057489
+0.0583685
+0.0625372
+0.0612172
+0.0599481
+0.0587334
+0.0575765
+0.0564808
+0.0554501
+0.0544843
+0.0535778
+0.0527467
+0.0519947
+0.0513252
+0.0507415
+0.0502467
+0.0498433
+0.0495336
+0.049029
+0.0483974
+0.0478478
+0.0465675
+0.0448055
+0.0430829
+0.0414045
+0.039776
+0.0382037
+0.0366949
+0.0352578
+0.0339013
+0.0326357
+0.0314718
+0.0304021
+0.0292596
+0.0270945
+0.024931
+0.0227709
+0.0206174
+0.0184725
+0.0163398
+0.0142248
+0.0121238
+0.0100441
+0.00795294
+0.00583357
+0.00379605
+0.00182093
+-0.000320434
+-0.00246522
+-0.00423697
+-0.00328745
+-0.00129196
+0.000535107
+0.00214213
+0.00419544
+0.00634032
+0.00850857
+0.010686
+0.0128076
+0.0148613
+0.0169209
+0.0190098
+0.0211194
+0.0226565
+0.0241512
+0.0253755
+0.0267198
+0.0281705
+0.0297121
+0.0313311
+0.0330161
+0.0347575
+0.0365474
+0.0378233
+0.0389211
+0.0401025
+0.0413663
+0.0421964
+0.0423483
+0.0426098
+0.0429789
+0.0434366
+0.0439987
+0.0446549
+0.0453274
+0.0460762
+0.0469094
+0.0477396
+0.0486544
+0.0496491
+0.05026
+0.0506534
+0.0511128
+0.0516611
+0.0522954
+0.0530056
+0.0535697
+0.0541733
+0.0548578
+0.0556104
+0.0564313
+0.0573242
+0.0615255
+0.0602594
+0.0589703
+0.0577356
+0.0565587
+0.0554435
+0.0543937
+0.0534106
+0.0524915
+0.051649
+0.0508809
+0.0501966
+0.0495996
+0.0490933
+0.0486803
+0.0483632
+0.0481127
+0.0474837
+0.0469037
+0.0463937
+0.04575
+0.0440643
+0.0424247
+0.0408369
+0.0393071
+0.0378423
+0.0364504
+0.0351401
+0.0339207
+0.0328024
+0.0315486
+0.0293889
+0.0272342
+0.0250857
+0.0229451
+0.0208151
+0.018699
+0.0166007
+0.014501
+0.0124238
+0.0102925
+0.00819258
+0.00604823
+0.00388222
+0.00177136
+5.63594e-06
+-0.00133586
+-0.00230229
+-0.00214511
+-0.000621705
+0.000669463
+0.00236647
+0.00438768
+0.0064962
+0.00845674
+0.0104572
+0.0125206
+0.0146147
+0.0167047
+0.0183263
+0.0197442
+0.0211319
+0.0223219
+0.0236369
+0.0250746
+0.0266151
+0.0282417
+0.0299403
+0.0316994
+0.0335093
+0.0352512
+0.0363134
+0.0374564
+0.0386826
+0.0399912
+0.0413315
+0.0414865
+0.0417535
+0.0421328
+0.0426178
+0.0431887
+0.0437815
+0.044451
+0.0452168
+0.0460264
+0.0468723
+0.0478037
+0.0488157
+0.0492354
+0.0496262
+0.050095
+0.0506543
+0.0512979
+0.0520173
+0.0525481
+0.0531614
+0.0538415
+0.0546012
+0.055437
+0.0563456
+0.0604794
+0.0592079
+0.0579833
+0.0567996
+0.055603
+0.0544682
+0.0533992
+0.0523974
+0.0514602
+0.0506006
+0.0498164
+0.0491173
+0.048507
+0.0479892
+0.0475666
+0.047242
+0.0469986
+0.0466323
+0.0460299
+0.045525
+0.0451058
+0.0447845
+0.0435314
+0.0419854
+0.040499
+0.039079
+0.0377327
+0.0364684
+0.035295
+0.0339661
+0.0318197
+0.0296798
+0.0275478
+0.0254258
+0.0233166
+0.0212238
+0.019153
+0.0171104
+0.0150277
+0.0129049
+0.0107825
+0.00869351
+0.00664861
+0.00471913
+0.00304792
+0.00172742
+0.000552275
+-0.000573431
+-0.000496367
+0.00051327
+0.00162207
+0.00332934
+0.00498065
+0.00669626
+0.00859339
+0.010568
+0.0126133
+0.0140393
+0.0153492
+0.0168368
+0.0181389
+0.0192825
+0.0205585
+0.0219792
+0.0235185
+0.0251545
+0.0268697
+0.0286498
+0.0304834
+0.0323454
+0.0337684
+0.0348759
+0.0360653
+0.0373373
+0.0386915
+0.0401196
+0.0406972
+0.0409693
+0.0413558
+0.0418466
+0.0423635
+0.0429435
+0.0436259
+0.0444059
+0.045228
+0.0460886
+0.0470355
+0.0479442
+0.0482846
+0.0486678
+0.0491457
+0.0497157
+0.0503713
+0.0510499
+0.051588
+0.0521968
+0.0528893
+0.0536624
+0.0545126
+0.0554307
+0.0594944
+0.0582016
+0.0569638
+0.0557789
+0.054645
+0.0535648
+0.0524774
+0.0514576
+0.050503
+0.0496268
+0.048827
+0.0481134
+0.0474903
+0.0469612
+0.0465294
+0.0461975
+0.0459485
+0.045802
+0.0452453
+0.0447315
+0.0443202
+0.0439988
+0.0437691
+0.0432146
+0.0417719
+0.0403966
+0.0390958
+0.037877
+0.0364867
+0.0343581
+0.0322378
+0.0301276
+0.0280297
+0.0259471
+0.0238839
+0.0218456
+0.0198095
+0.0177019
+0.0156171
+0.0135634
+0.0115429
+0.00959724
+0.00778202
+0.00613205
+0.00455365
+0.00318218
+0.00129983
+0.000809887
+0.00119923
+0.000624866
+0.00191213
+0.00386436
+0.00584598
+0.00751759
+0.00915954
+0.0101261
+0.011038
+0.0122774
+0.0137493
+0.0151851
+0.0162554
+0.0174871
+0.0188848
+0.0204223
+0.0220704
+0.0238062
+0.0256118
+0.0274636
+0.0293511
+0.0311053
+0.0323661
+0.0335199
+0.0347568
+0.0360749
+0.0374747
+0.0389476
+0.0399938
+0.0402706
+0.0406109
+0.0410499
+0.0415353
+0.0421267
+0.0428221
+0.0436021
+0.0443893
+0.0452658
+0.0462295
+0.0470733
+0.0474004
+0.0477907
+0.0482773
+0.0488574
+0.0495244
+0.0501569
+0.0506882
+0.0513076
+0.052012
+0.0527979
+0.0536559
+0.0545772
+0.0585603
+0.0572464
+0.0559874
+0.0547871
+0.0536495
+0.0525746
+0.0515565
+0.0505905
+0.0496241
+0.048732
+0.0479173
+0.04719
+0.0465546
+0.0460147
+0.0455739
+0.045235
+0.0449807
+0.044831
+0.0445547
+0.0440329
+0.043615
+0.0433018
+0.0430764
+0.0429422
+0.0429195
+0.0417876
+0.0405314
+0.0390904
+0.0369819
+0.0348835
+0.0327972
+0.0307254
+0.0286713
+0.0266389
+0.0246256
+0.0225426
+0.0204819
+0.0184442
+0.0164396
+0.0144891
+0.0126177
+0.0108581
+0.00917385
+0.00752038
+0.00587854
+0.00411843
+0.00289189
+0.00281447
+0.0024761
+0.00249221
+0.00337034
+0.00466607
+0.00607212
+0.00660581
+0.00744727
+0.00810993
+0.00922334
+0.010668
+0.0121267
+0.0132475
+0.0144271
+0.0157918
+0.0173268
+0.0189908
+0.0207529
+0.022589
+0.0244603
+0.0263808
+0.0281127
+0.0297195
+0.0310048
+0.0322479
+0.0335404
+0.0349045
+0.0363494
+0.0378661
+0.0393688
+0.0395797
+0.0399099
+0.0403131
+0.0408047
+0.0414065
+0.0420989
+0.0428379
+0.0436356
+0.044527
+0.0455064
+0.0462667
+0.0466024
+0.0469993
+0.0474941
+0.0480836
+0.0487612
+0.0493283
+0.0498684
+0.0504979
+0.0512134
+0.0520052
+0.0528646
+0.0537994
+0.0576942
+0.0563601
+0.0550809
+0.0538604
+0.0527028
+0.0516122
+0.0505925
+0.0496304
+0.0487288
+0.0479105
+0.0470921
+0.0463518
+0.0457047
+0.0451547
+0.0447054
+0.0443599
+0.0441005
+0.0439479
+0.0438873
+0.0434337
+0.0430099
+0.0426922
+0.0424658
+0.0423493
+0.0423264
+0.0424167
+0.0417616
+0.0396741
+0.0375984
+0.0355364
+0.0334908
+0.0314647
+0.0294622
+0.0274038
+0.0253597
+0.0233324
+0.0213372
+0.0193844
+0.017488
+0.0156685
+0.0139436
+0.0121973
+0.0105626
+0.008833
+0.00712975
+0.00576513
+0.00494145
+0.00467488
+0.00432619
+0.00451892
+0.00480586
+0.00515229
+0.00463471
+0.00498574
+0.00536824
+0.006213
+0.00760041
+0.00909522
+0.0102932
+0.0113877
+0.0127012
+0.0142323
+0.0159184
+0.0177153
+0.0195733
+0.0214839
+0.0234436
+0.0251218
+0.0268174
+0.0284325
+0.0297145
+0.0310084
+0.032393
+0.033825
+0.0353141
+0.0368713
+0.0384616
+0.0389834
+0.0392977
+0.0396811
+0.0401804
+0.040776
+0.0414268
+0.0421568
+0.0429672
+0.0438721
+0.0448659
+0.0455339
+0.0458953
+0.0462982
+0.0468004
+0.0473986
+0.0480858
+0.0485844
+0.0491327
+0.0497715
+0.0504909
+0.051282
+0.0521533
+0.0531007
+0.0568892
+0.0555462
+0.0542478
+0.0530081
+0.0518314
+0.0507221
+0.049684
+0.0487116
+0.0478006
+0.046966
+0.0462204
+0.0455671
+0.0449457
+0.0443863
+0.0439291
+0.0435774
+0.0432963
+0.0431193
+0.0430532
+0.0429201
+0.0425093
+0.0421878
+0.0419586
+0.041843
+0.0418397
+0.041931
+0.0421362
+0.0403685
+0.0383303
+0.0363099
+0.0343105
+0.0322763
+0.030241
+0.0282241
+0.0262352
+0.024281
+0.0223706
+0.0205119
+0.0186233
+0.0167901
+0.015043
+0.013418
+0.011861
+0.0101929
+0.00875829
+0.00768832
+0.00703859
+0.00650902
+0.00637352
+0.00630481
+0.00546365
+0.00407884
+0.00344884
+0.00313243
+0.00336588
+0.00457394
+0.00613076
+0.00739081
+0.00836441
+0.00961554
+0.01114
+0.0128584
+0.0146941
+0.0165881
+0.0185475
+0.0205479
+0.0221605
+0.0238654
+0.0255143
+0.0272092
+0.0285332
+0.0298744
+0.0313042
+0.0328181
+0.0343707
+0.0359192
+0.0375317
+0.0384875
+0.038773
+0.0391615
+0.0396511
+0.0402013
+0.0408585
+0.0415789
+0.0424004
+0.0433171
+0.0443035
+0.0448962
+0.0452636
+0.0456915
+0.0462003
+0.0468061
+0.0474681
+0.0479291
+0.0484849
+0.0491254
+0.0498421
+0.0506434
+0.0515254
+0.0524842
+0.0561354
+0.0547803
+0.0534806
+0.0522338
+0.0510393
+0.0499124
+0.0488569
+0.0478677
+0.0469405
+0.0460904
+0.0453303
+0.0446648
+0.0440974
+0.0436135
+0.0432341
+0.0428547
+0.0425634
+0.0423834
+0.0423161
+0.0423622
+0.0420986
+0.0417803
+0.0415609
+0.0414442
+0.0414431
+0.0415553
+0.0417623
+0.0411678
+0.0391712
+0.0371557
+0.0351271
+0.0331179
+0.0311333
+0.0291782
+0.0272051
+0.025243
+0.0233216
+0.021452
+0.0196488
+0.0179047
+0.0162566
+0.0147434
+0.0132724
+0.0118055
+0.0105915
+0.00968287
+0.0088162
+0.00814471
+0.00740761
+0.00632425
+0.00518381
+0.00377927
+0.00277676
+0.00131775
+0.00168074
+0.00326671
+0.00435195
+0.00540484
+0.00654162
+0.00805201
+0.00982217
+0.0116944
+0.0136531
+0.0156734
+0.017635
+0.0192423
+0.0209555
+0.0226276
+0.0243263
+0.0260985
+0.0274688
+0.0288515
+0.0303296
+0.0318897
+0.0334706
+0.0350588
+0.0367092
+0.0380849
+0.0383664
+0.0387193
+0.0391826
+0.0397393
+0.040381
+0.0411098
+0.0419404
+0.042867
+0.0435084
+0.0442419
+0.0447294
+0.045183
+0.0456974
+0.0463098
+0.0468997
+0.0473663
+0.0479217
+0.0485573
+0.0492822
+0.0500925
+0.0509841
+0.0519528
+0.0554579
+0.0540858
+0.052769
+0.0515118
+0.0503185
+0.0491824
+0.0481117
+0.0471106
+0.0461684
+0.0453038
+0.0445302
+0.0438526
+0.0432754
+0.0428018
+0.0424164
+0.0421402
+0.0419268
+0.041744
+0.0416757
+0.0417225
+0.0417435
+0.0414715
+0.0412636
+0.0411582
+0.0411571
+0.0412725
+0.0415004
+0.0418227
+0.0400161
+0.0380129
+0.0360072
+0.0339884
+0.0319924
+0.0300234
+0.0280874
+0.0261914
+0.024345
+0.0225589
+0.0208183
+0.0191704
+0.0176409
+0.0162381
+0.0148119
+0.0135366
+0.0124079
+0.0111486
+0.00990799
+0.0086788
+0.0072316
+0.00574308
+0.00470962
+0.00325127
+0.00247148
+0.000763879
+0.000868815
+0.00148423
+0.0026235
+0.00350659
+0.00497669
+0.00680773
+0.00876345
+0.0108097
+0.012887
+0.0146982
+0.0163902
+0.0181071
+0.0198048
+0.0215034
+0.0232843
+0.0250306
+0.0265342
+0.0279631
+0.0294858
+0.0310869
+0.0326927
+0.034317
+0.0360013
+0.0377377
+0.0380169
+0.0383647
+0.0388207
+0.0393823
+0.0400179
+0.0407532
+0.0415909
+0.0421613
+0.0428107
+0.043556
+0.0442973
+0.044776
+0.045295
+0.0459096
+0.0464278
+0.046892
+0.0474403
+0.0480823
+0.0488143
+0.0496322
+0.0505319
+0.0515091
+0.0548487
+0.0534721
+0.0521398
+0.050867
+0.0496583
+0.0485166
+0.0474425
+0.0464351
+0.0454887
+0.044611
+0.0438252
+0.0431365
+0.0425496
+0.0420687
+0.0416904
+0.0414093
+0.0412429
+0.0411924
+0.0411252
+0.0411726
+0.0413362
+0.0412319
+0.0410679
+0.0409752
+0.0409864
+0.0411023
+0.0413318
+0.0416553
+0.0408202
+0.0388046
+0.0368089
+0.0348367
+0.0328921
+0.0309804
+0.0291081
+0.0272832
+0.0255035
+0.0237786
+0.0221343
+0.0205919
+0.0190207
+0.0174765
+0.0160825
+0.0148671
+0.0135216
+0.0121381
+0.0105887
+0.00902442
+0.00724947
+0.00571241
+0.00375012
+0.00189345
+0.000974461
+0.000891716
+0.000396592
+-0.000148278
+0.000620443
+0.0019607
+0.00389365
+0.00597569
+0.00810144
+0.00984044
+0.0117132
+0.0135365
+0.0152651
+0.0170778
+0.0187675
+0.0205112
+0.0221044
+0.0237928
+0.0255537
+0.0272195
+0.0287735
+0.030406
+0.0320459
+0.0337014
+0.035415
+0.0371788
+0.0377699
+0.0380957
+0.0385435
+0.039109
+0.0397577
+0.0404288
+0.0409804
+0.0415502
+0.0422153
+0.0429709
+0.0438231
+0.0444533
+0.0449958
+0.0456055
+0.0460481
+0.0465033
+0.0470562
+0.0477033
+0.048441
+0.0492651
+0.0501714
+0.0511555
+0.0542979
+0.0529133
+0.0515846
+0.0503001
+0.0490774
+0.0479237
+0.0468441
+0.0458342
+0.0448771
+0.0440082
+0.0432199
+0.0425214
+0.0419258
+0.0414377
+0.0410535
+0.0407681
+0.040599
+0.0405478
+0.0406148
+0.0407332
+0.0408986
+0.0410882
+0.0409434
+0.0408957
+0.0409201
+0.0410484
+0.0412782
+0.0416022
+0.0416446
+0.0396708
+0.037721
+0.0357991
+0.0339097
+0.0320588
+0.030252
+0.0284795
+0.026768
+0.0251306
+0.0234718
+0.0218025
+0.0202329
+0.0187879
+0.0174925
+0.0161422
+0.0146141
+0.0129395
+0.0111039
+0.0093224
+0.00758608
+0.00576522
+0.00367577
+0.00183901
+0.000557639
+-6.35912e-05
+-0.0010623
+-0.00176589
+-0.000701738
+0.00129972
+0.00348859
+0.00505658
+0.00684034
+0.00878782
+0.0107104
+0.0124414
+0.014299
+0.01598
+0.0176516
+0.0192321
+0.0209211
+0.0226922
+0.0245312
+0.0264238
+0.0282071
+0.0298706
+0.0315384
+0.0332192
+0.0349564
+0.0366851
+0.0376127
+0.0379399
+0.0383894
+0.0388794
+0.039444
+0.0399614
+0.0404051
+0.0409602
+0.0416234
+0.0423896
+0.0432533
+0.0442087
+0.0448011
+0.0453886
+0.0457573
+0.0462153
+0.0467716
+0.0474226
+0.0481646
+0.0489934
+0.0499046
+0.0508939
+0.0538307
+0.0524337
+0.0510925
+0.0498116
+0.0485864
+0.0474207
+0.0463294
+0.0453177
+0.0443524
+0.0434731
+0.0426882
+0.0420029
+0.0414087
+0.0409144
+0.0405253
+0.0402361
+0.0400648
+0.0400129
+0.0400808
+0.0402679
+0.0405617
+0.0408583
+0.0409161
+0.0408882
+0.0409578
+0.041099
+0.0413409
+0.0416643
+0.0420012
+0.0406368
+0.0387357
+0.0368666
+0.0350349
+0.0332368
+0.0314676
+0.029719
+0.027973
+0.0262936
+0.0246593
+0.023076
+0.0215992
+0.0202508
+0.018785
+0.0169722
+0.014957
+0.0128955
+0.0108648
+0.00889304
+0.00705179
+0.00547241
+0.00372085
+0.002091
+0.000279512
+-0.000973063
+-0.00286516
+-0.00247043
+-0.000696185
+0.000791317
+0.00206832
+0.00390653
+0.00596373
+0.008054
+0.0097795
+0.0113772
+0.013098
+0.014822
+0.016442
+0.0181228
+0.0199018
+0.021756
+0.0236678
+0.0256242
+0.0276159
+0.0294886
+0.0311662
+0.0328282
+0.0345162
+0.0362469
+0.0375827
+0.0378882
+0.0382327
+0.0386828
+0.0391114
+0.0394431
+0.0398915
+0.0404537
+0.0411251
+0.0419004
+0.0427739
+0.0437398
+0.0447047
+0.0451955
+0.045554
+0.046014
+0.0465727
+0.0472265
+0.0479715
+0.0488036
+0.0497183
+0.0507112
+0.0534492
+0.052042
+0.0506905
+0.0493991
+0.0481665
+0.0470006
+0.0459097
+0.0448925
+0.0439309
+0.043043
+0.0422501
+0.0415576
+0.0409628
+0.0404771
+0.0401052
+0.0398177
+0.0396445
+0.0395921
+0.0396607
+0.0398498
+0.0401466
+0.0405479
+0.0409615
+0.0409782
+0.0410674
+0.0412531
+0.0415091
+0.0418412
+0.0418008
+0.0412383
+0.0398289
+0.03798
+0.0361677
+0.034354
+0.0325584
+0.0308114
+0.0291243
+0.0275083
+0.0259651
+0.0244797
+0.0229664
+0.0211055
+0.0192124
+0.0171028
+0.0150163
+0.0129643
+0.0109462
+0.00899193
+0.00716149
+0.00517779
+0.00328609
+0.00173229
+-6.71164e-05
+-0.00166959
+-0.00367381
+-0.00377709
+-0.00221626
+-0.000684325
+0.00132797
+0.00334474
+0.00517195
+0.00703544
+0.00857855
+0.0103189
+0.0120618
+0.0137811
+0.0154393
+0.0172168
+0.0190805
+0.0210073
+0.0229815
+0.0249917
+0.02703
+0.0290891
+0.0308317
+0.0324858
+0.0341854
+0.035932
+0.0375929
+0.0378036
+0.0381331
+0.0384927
+0.0387059
+0.03904
+0.039493
+0.0400608
+0.0407386
+0.0415211
+0.0424024
+0.0433759
+0.0444175
+0.0450918
+0.0454511
+0.0459122
+0.0464721
+0.0471273
+0.0478738
+0.0487075
+0.049624
+0.0506188
+0.0531357
+0.0517379
+0.0503805
+0.049081
+0.0478402
+0.0466662
+0.0455673
+0.044549
+0.0436046
+0.0427098
+0.0419106
+0.0412125
+0.0406206
+0.0401345
+0.0397594
+0.0395025
+0.039342
+0.0392891
+0.0393583
+0.0395488
+0.0398479
+0.0402521
+0.0407546
+0.0411838
+0.0412734
+0.0414778
+0.0417767
+0.0421239
+0.0416884
+0.0411509
+0.0406967
+0.0390421
+0.0372126
+0.0354241
+0.0336831
+0.0319974
+0.0303763
+0.0288166
+0.02734
+0.0254569
+0.0235797
+0.0216034
+0.0195062
+0.0174322
+0.0153904
+0.0133723
+0.011401
+0.00952607
+0.00757126
+0.00563158
+0.00390803
+0.00198466
+-3.76454e-05
+-0.0020613
+-0.0041773
+-0.00529451
+-0.00329926
+-0.00146251
+0.000402809
+0.00231076
+0.00421072
+0.00606174
+0.00776721
+0.00951201
+0.0113001
+0.0129332
+0.0146873
+0.0165458
+0.0184772
+0.0204609
+0.0224771
+0.0245216
+0.0265894
+0.0286755
+0.0306228
+0.0322669
+0.033971
+0.0357281
+0.0375308
+0.0378067
+0.0381165
+0.038206
+0.0384197
+0.0387563
+0.0392125
+0.0397843
+0.0404668
+0.0412544
+0.042141
+0.0431011
+0.0441476
+0.0450944
+0.0454536
+0.0459147
+0.0464746
+0.0471297
+0.0478762
+0.0487099
+0.0496264
+0.0506211
+0.0528782
+0.0514735
+0.0501251
+0.0488378
+0.0475963
+0.0464205
+0.0453203
+0.044301
+0.043358
+0.0424799
+0.0416803
+0.0409782
+0.0403829
+0.0398991
+0.0395311
+0.0392738
+0.0391364
+0.0391064
+0.0391759
+0.0393674
+0.039668
+0.0400741
+0.0405788
+0.0411868
+0.0415937
+0.0417968
+0.0421128
+0.041993
+0.0414285
+0.0409735
+0.0406316
+0.0401046
+0.0383258
+0.0365918
+0.0349091
+0.0332854
+0.0317144
+0.0299771
+0.0280603
+0.0261865
+0.0241555
+0.0220835
+0.0200367
+0.0180187
+0.0160209
+0.0140797
+0.0120942
+0.0100105
+0.007973
+0.00600519
+0.00400965
+0.00188304
+-0.000270474
+-0.00242947
+-0.00454414
+-0.00627141
+-0.0043985
+-0.00245119
+-0.000550687
+0.00136279
+0.00333975
+0.00528019
+0.00718502
+0.00884924
+0.0106025
+0.012368
+0.0141921
+0.0161078
+0.0180861
+0.0201084
+0.0221567
+0.0242283
+0.0263191
+0.028425
+0.0305428
+0.0321891
+0.033897
+0.0356578
+0.0373277
+0.0378859
+0.0379222
+0.0380192
+0.038234
+0.0385721
+0.0390305
+0.039605
+0.0402905
+0.0410815
+0.0419717
+0.0429349
+0.0439854
+0.0451178
+0.0455617
+0.0460217
+0.0465802
+0.0472339
+0.0479788
+0.0488107
+0.0497253
+0.0507181
+0.0527106
+0.0513013
+0.0499483
+0.0486563
+0.0474304
+0.0462594
+0.0451606
+0.0441429
+0.0431964
+0.042315
+0.0415305
+0.0408448
+0.0402538
+0.039775
+0.0394087
+0.0391587
+0.0390288
+0.0390138
+0.0390932
+0.0392851
+0.0395974
+0.0400154
+0.0405208
+0.0411297
+0.0418446
+0.0422269
+0.042477
+0.0418044
+0.0412373
+0.0407801
+0.0404366
+0.0401957
+0.0395292
+0.0378503
+0.0362232
+0.0346004
+0.0326611
+0.0307556
+0.028835
+0.0268229
+0.0247573
+0.0226888
+0.020635
+0.0185924
+0.0164948
+0.0144248
+0.012357
+0.0103047
+0.00831389
+0.00617568
+0.00400356
+0.00185241
+-0.000242833
+-0.00233637
+-0.00442223
+-0.0063192
+-0.00475577
+-0.00292097
+-0.00105374
+0.000902886
+0.00288811
+0.00471879
+0.00650464
+0.00829205
+0.0101978
+0.0121375
+0.0140255
+0.0159612
+0.0179556
+0.0199912
+0.0220504
+0.024131
+0.0262296
+0.0283422
+0.0304657
+0.0322602
+0.0339196
+0.0351815
+0.0365313
+0.0377831
+0.0378195
+0.0379573
+0.0381724
+0.0385111
+0.0389703
+0.0395456
+0.0402321
+0.0410242
+0.0419156
+0.0428801
+0.0439319
+0.0450656
+0.0457744
+0.0462323
+0.0467883
+0.0474392
+0.0481809
+0.0490094
+0.0499203
+0.0509093
+0.0526337
+0.0512223
+0.0498671
+0.048573
+0.047345
+0.0461882
+0.0450914
+0.0440724
+0.0431407
+0.0422631
+0.0414777
+0.0407949
+0.0402199
+0.0397432
+0.0393801
+0.0391305
+0.039002
+0.0389963
+0.0391076
+0.0393237
+0.0396357
+0.0400573
+0.0405779
+0.0411892
+0.0419031
+0.0426645
+0.0424035
+0.0417296
+0.0411615
+0.0407035
+0.0403594
+0.040132
+0.0399861
+0.0391857
+0.0373377
+0.0354128
+0.0335205
+0.031497
+0.0294115
+0.0273344
+0.0252763
+0.0232077
+0.0211139
+0.0190421
+0.0169863
+0.0149
+0.0128393
+0.0106687
+0.00850263
+0.00635354
+0.00423754
+0.00213368
+7.47941e-05
+-0.00198471
+-0.00386098
+-0.0050459
+-0.00402364
+-0.00265264
+-0.0010795
+0.000640038
+0.0025829
+0.00457613
+0.00645236
+0.00825138
+0.0101781
+0.0121624
+0.0141141
+0.0161138
+0.0180914
+0.0201132
+0.0221512
+0.0241418
+0.0261592
+0.0281971
+0.0302562
+0.0318039
+0.0331585
+0.034452
+0.0358293
+0.0372845
+0.0378351
+0.0379785
+0.0382365
+0.0385747
+0.039033
+0.0396074
+0.0402929
+0.0410839
+0.041974
+0.0429372
+0.0439876
+0.0451199
+0.0460904
+0.0465452
+0.0470975
+0.0477441
+0.0484812
+0.0493046
+0.0502102
+0.0511936
+0.0526386
+0.051234
+0.0498821
+0.0485884
+0.0473608
+0.0462044
+0.0451175
+0.0440991
+0.043168
+0.0423247
+0.0415404
+0.0408587
+0.0402847
+0.0398231
+0.0394697
+0.0392207
+0.0390925
+0.0390869
+0.0391979
+0.0394208
+0.0397633
+0.0402147
+0.0407333
+0.0413512
+0.0420623
+0.0428737
+0.0424272
+0.0417698
+0.0412023
+0.0407447
+0.0404009
+0.0401738
+0.0400512
+0.040016
+0.0382176
+0.0362105
+0.0341251
+0.0320538
+0.0299995
+0.0279196
+0.0258363
+0.0237722
+0.0216897
+0.0196144
+0.0175147
+0.0153767
+0.0132531
+0.0111423
+0.00906369
+0.00703057
+0.00490949
+0.00289202
+0.00100999
+-0.00107372
+-0.00248866
+-0.00327005
+-0.00268284
+-0.00170947
+-0.000392218
+0.00118822
+0.00292179
+0.0047273
+0.00658277
+0.00833351
+0.0101804
+0.0120903
+0.0140461
+0.0160475
+0.0180837
+0.0200547
+0.022017
+0.0240187
+0.0260426
+0.0280769
+0.0297795
+0.0311797
+0.0325092
+0.0338488
+0.0352496
+0.0367052
+0.0377461
+0.0378975
+0.0381616
+0.0385485
+0.039045
+0.0396557
+0.040368
+0.04118
+0.0420905
+0.0430933
+0.044152
+0.0452803
+0.0464711
+0.0469583
+0.0475058
+0.048147
+0.0488779
+0.0496948
+0.0505934
+0.0515695
+0.0527086
+0.051306
+0.0499564
+0.0486646
+0.0474389
+0.0462845
+0.0452069
+0.0442116
+0.0432963
+0.0424607
+0.0417183
+0.0410395
+0.040468
+0.0400086
+0.0396649
+0.0394222
+0.0392946
+0.039289
+0.0394053
+0.0396316
+0.0399723
+0.040429
+0.0409978
+0.0416192
+0.0423258
+0.0431322
+0.0425141
+0.0418642
+0.0413204
+0.0408868
+0.0405609
+0.0403347
+0.0402267
+0.0402006
+0.0388843
+0.03682
+0.0347712
+0.0326865
+0.030614
+0.0285458
+0.0264635
+0.0243976
+0.0222786
+0.0201602
+0.0180587
+0.015981
+0.0139303
+0.0118306
+0.00977094
+0.0077825
+0.00579207
+0.00374326
+0.00192217
+0.000350648
+-0.000781977
+-0.00134992
+-0.00117856
+-0.000514647
+0.000664846
+0.00197773
+0.00341881
+0.00501922
+0.00674823
+0.00859153
+0.0104009
+0.0123051
+0.0142458
+0.0162185
+0.0182078
+0.020146
+0.0221002
+0.0240737
+0.0260776
+0.027942
+0.0293232
+0.0306217
+0.0319614
+0.0333387
+0.0347455
+0.0361439
+0.0376159
+0.0378598
+0.0381238
+0.0385005
+0.0389968
+0.0396083
+0.0403212
+0.0411341
+0.0420456
+0.0430494
+0.0441205
+0.0452701
+0.0464945
+0.047469
+0.0480107
+0.0486452
+0.0493688
+0.0501106
+0.050929
+0.0518272
+0.0528695
+0.0514712
+0.050126
+0.0488388
+0.0476176
+0.0464676
+0.0453943
+0.0444032
+0.0434999
+0.04269
+0.0419627
+0.0413063
+0.0407386
+0.0402822
+0.0399409
+0.0397177
+0.0396145
+0.0396099
+0.0397253
+0.0399606
+0.0402995
+0.0407525
+0.0413169
+0.0419881
+0.0427002
+0.0434562
+0.042713
+0.0420666
+0.0415254
+0.041094
+0.0407758
+0.0405737
+0.0404848
+0.040473
+0.0395582
+0.0374814
+0.0354183
+0.0333347
+0.0312598
+0.0291857
+0.0270757
+0.0249797
+0.0229013
+0.020846
+0.018755
+0.0166872
+0.0146552
+0.0126058
+0.0105623
+0.00854899
+0.00663986
+0.0049668
+0.00329444
+0.00194039
+0.00109897
+0.000599176
+0.000674194
+0.00109646
+0.0019398
+0.0030411
+0.00444744
+0.00576385
+0.00731174
+0.00907737
+0.0108958
+0.0127313
+0.0146646
+0.016522
+0.0184068
+0.0203514
+0.0223408
+0.0242425
+0.0261272
+0.0276173
+0.0289435
+0.0301989
+0.0315562
+0.0329089
+0.0342948
+0.0357085
+0.0371728
+0.0379369
+0.0382003
+0.0385763
+0.0390667
+0.039664
+0.0403715
+0.0411835
+0.0420939
+0.0430966
+0.0441656
+0.045314
+0.0465373
+0.0478297
+0.0485383
+0.0490921
+0.0497346
+0.0504613
+0.0512379
+0.052095
+0.0531202
+0.0517288
+0.0503904
+0.0491101
+0.0478958
+0.0467527
+0.0456861
+0.0447015
+0.0438043
+0.0430002
+0.0422785
+0.0416311
+0.0410904
+0.0406565
+0.0403183
+0.0400972
+0.039995
+0.0400127
+0.0401501
+0.0403951
+0.040742
+0.0411901
+0.0417486
+0.042413
+0.0431784
+0.0437397
+0.0430023
+0.0423655
+0.0418335
+0.0414052
+0.0410895
+0.0408888
+0.040805
+0.0408227
+0.0402229
+0.0381452
+0.0360809
+0.0339962
+0.0319035
+0.0298249
+0.0277636
+0.0257194
+0.0235998
+0.0214946
+0.0194082
+0.0173476
+0.0153231
+0.013344
+0.0114333
+0.00960424
+0.0079526
+0.0062694
+0.00480198
+0.00363112
+0.00296268
+0.00264229
+0.00255647
+0.0027795
+0.0034634
+0.00416534
+0.00536697
+0.00676702
+0.0083389
+0.00996432
+0.0116228
+0.0134314
+0.0152322
+0.0169856
+0.0188245
+0.0206243
+0.0223852
+0.0242163
+0.0261028
+0.0273993
+0.0286622
+0.0299241
+0.0312404
+0.0326062
+0.0339372
+0.0350908
+0.0362739
+0.0375476
+0.0383996
+0.0387604
+0.0392402
+0.0398349
+0.0405394
+0.041348
+0.0422549
+0.0432539
+0.0443191
+0.0454637
+0.046683
+0.0479715
+0.0489432
+0.0494532
+0.050054
+0.0507277
+0.0514642
+0.0522822
+0.0534498
+0.0520631
+0.0507331
+0.0494644
+0.0482619
+0.0471305
+0.0460756
+0.0451019
+0.0442129
+0.0434163
+0.0427044
+0.0420636
+0.0415286
+0.0411035
+0.0407918
+0.040591
+0.0404901
+0.0405076
+0.0406433
+0.0408961
+0.0412452
+0.0417027
+0.042269
+0.0429323
+0.0436814
+0.0441304
+0.0433996
+0.0427674
+0.0422351
+0.041811
+0.0414983
+0.0412996
+0.0412166
+0.0412499
+0.040919
+0.0388287
+0.03675
+0.0346851
+0.0325797
+0.0304648
+0.0283615
+0.0262725
+0.0242014
+0.0221533
+0.0201354
+0.0181574
+0.0162343
+0.0143812
+0.0126185
+0.0109639
+0.00926197
+0.0077055
+0.00639339
+0.00545184
+0.00493504
+0.00454422
+0.0043572
+0.00449946
+0.00498958
+0.00565164
+0.00660357
+0.00777947
+0.00915854
+0.0107273
+0.0123567
+0.0140057
+0.0157401
+0.0175087
+0.0191449
+0.0208081
+0.0225615
+0.0243857
+0.0256243
+0.0265468
+0.0275913
+0.028765
+0.0300513
+0.0314096
+0.0328568
+0.0340779
+0.0353535
+0.0366592
+0.0380463
+0.039055
+0.0395312
+0.0401216
+0.0408211
+0.0416244
+0.0425254
+0.0435181
+0.0445799
+0.0457179
+0.0469306
+0.0482125
+0.0492775
+0.0497467
+0.0503072
+0.0509556
+0.0516656
+0.0524244
+0.0534301
+0.0524832
+0.0511641
+0.0499064
+0.0487148
+0.047593
+0.0465457
+0.0455796
+0.0447001
+0.0439124
+0.0432215
+0.0426034
+0.0420753
+0.0416558
+0.0413482
+0.0411552
+0.0410747
+0.0410919
+0.0412257
+0.0414749
+0.0418375
+0.0422919
+0.0428504
+0.0435121
+0.0442724
+0.044612
+0.0438838
+0.0432545
+0.0427284
+0.0423093
+0.0420003
+0.0418041
+0.0417221
+0.0417551
+0.0415823
+0.0394635
+0.0373529
+0.0352522
+0.033163
+0.0310879
+0.0290298
+0.0269925
+0.0249812
+0.0230027
+0.0210662
+0.0191845
+0.0173754
+0.0156394
+0.0138835
+0.0121965
+0.0106299
+0.00927774
+0.00813835
+0.00736248
+0.00670512
+0.00630873
+0.00614954
+0.0062068
+0.00663078
+0.00733732
+0.0081569
+0.00910497
+0.010282
+0.0116129
+0.0130482
+0.0145919
+0.0162595
+0.0178677
+0.0195062
+0.0211908
+0.0221692
+0.0228585
+0.0237307
+0.0247664
+0.0258887
+0.0271019
+0.0284324
+0.0298635
+0.0313729
+0.0329587
+0.0344676
+0.0358639
+0.0372987
+0.0387869
+0.0398972
+0.0404822
+0.0411757
+0.0419721
+0.0428658
+0.0438508
+0.0449211
+0.0460585
+0.0472625
+0.0485356
+0.0496089
+0.050034
+0.0505132
+0.0509591
+0.0514944
+0.0521111
+0.0534097
+0.052939
+0.0516845
+0.0504381
+0.0492566
+0.0481458
+0.0471107
+0.0461565
+0.0452882
+0.0445109
+0.0438212
+0.0432185
+0.0427068
+0.0422936
+0.0419907
+0.0418006
+0.0417248
+0.041764
+0.0419084
+0.0421534
+0.0425102
+0.0429757
+0.0435344
+0.0441859
+0.0449348
+0.045161
+0.0444477
+0.0438265
+0.0433073
+0.0428938
+0.0425891
+0.0423956
+0.0423148
+0.0423473
+0.0421549
+0.0400664
+0.0379894
+0.0359258
+0.0338783
+0.0318498
+0.0298442
+0.0278666
+0.0259232
+0.0240224
+0.0221751
+0.020396
+0.018627
+0.0168642
+0.0151859
+0.0136262
+0.0122255
+0.0110019
+0.0100337
+0.00917087
+0.00843943
+0.00810047
+0.00797437
+0.00802263
+0.00834419
+0.00897727
+0.0097957
+0.0106425
+0.0115957
+0.0127273
+0.0139974
+0.0154531
+0.0169343
+0.0183974
+0.0192901
+0.0196513
+0.0201895
+0.020944
+0.0218927
+0.0230014
+0.0241898
+0.025484
+0.026894
+0.0283922
+0.0299756
+0.0316317
+0.0333494
+0.0351198
+0.0366295
+0.0381692
+0.0397204
+0.040957
+0.0416425
+0.0424302
+0.0433144
+0.0442895
+0.0453495
+0.0464886
+0.0476893
+0.0489513
+0.0496718
+0.0499333
+0.050289
+0.0507369
+0.0512692
+0.0518759
+0.0534791
+0.0530091
+0.0522869
+0.0510541
+0.0498872
+0.0487907
+0.0477696
+0.0468288
+0.0459732
+0.0452064
+0.0445147
+0.0439215
+0.0434307
+0.0430333
+0.0427357
+0.0425489
+0.0424744
+0.0425129
+0.0426639
+0.0429182
+0.0432687
+0.0437261
+0.0442874
+0.0449485
+0.0456927
+0.0457937
+0.0451018
+0.0444928
+0.0439815
+0.0435744
+0.0432745
+0.0430841
+0.0430046
+0.0430365
+0.0428321
+0.0407782
+0.0387394
+0.0367181
+0.0347173
+0.0327408
+0.0307933
+0.0288807
+0.0270104
+0.0251917
+0.0234179
+0.021611
+0.019876
+0.0182085
+0.0166439
+0.0152074
+0.0139398
+0.012827
+0.0118266
+0.010946
+0.0103404
+0.00994057
+0.00988255
+0.00983106
+0.0100967
+0.0106029
+0.011371
+0.0121827
+0.0130377
+0.0139975
+0.0151916
+0.0164854
+0.0172887
+0.0171414
+0.0172729
+0.0176539
+0.018258
+0.0190891
+0.0201249
+0.0213045
+0.0225757
+0.0239569
+0.0254395
+0.0270184
+0.0286779
+0.0304047
+0.032188
+0.0339753
+0.0358062
+0.0376071
+0.0392028
+0.040802
+0.0422181
+0.0429952
+0.0438681
+0.0448311
+0.0458785
+0.0470048
+0.0482044
+0.0493743
+0.0495407
+0.0498029
+0.0501595
+0.0506032
+0.0511241
+0.0517326
+0.053638
+0.0531694
+0.0527876
+0.0517492
+0.0505983
+0.0495176
+0.0485118
+0.0475857
+0.046744
+0.0459835
+0.0453036
+0.0447208
+0.044239
+0.0438614
+0.0435781
+0.043395
+0.043322
+0.0433597
+0.0435078
+0.0437652
+0.044123
+0.0445717
+0.0451224
+0.0457715
+0.0465148
+0.0465211
+0.0458402
+0.0452411
+0.0447383
+0.0443382
+0.0440435
+0.0438564
+0.0437783
+0.0438097
+0.0433977
+0.0415934
+0.0395966
+0.0376213
+0.0356712
+0.0337506
+0.0318649
+0.0300207
+0.0281832
+0.0263719
+0.0246178
+0.0229095
+0.0212528
+0.0196864
+0.0182281
+0.0169184
+0.0156638
+0.0145251
+0.0135324
+0.0127659
+0.0121439
+0.0117498
+0.0116073
+0.0115042
+0.0116972
+0.0120798
+0.0126505
+0.0134504
+0.014495
+0.0154617
+0.016352
+0.0157735
+0.0153214
+0.015155
+0.0153005
+0.0156962
+0.0163779
+0.0173118
+0.0184254
+0.0197053
+0.0210568
+0.022526
+0.0240967
+0.025758
+0.0274937
+0.0292805
+0.0310792
+0.0329254
+0.0348116
+0.0366925
+0.038547
+0.0403943
+0.0420461
+0.043631
+0.0445063
+0.0454558
+0.0464892
+0.047601
+0.0487859
+0.0493221
+0.0494886
+0.0497511
+0.0501081
+0.0505513
+0.0510727
+0.0516818
+0.0538856
+0.0534191
+0.0530391
+0.0525208
+0.0513872
+0.0503235
+0.0493341
+0.0484237
+0.0475968
+0.0468501
+0.046183
+0.0456115
+0.0451392
+0.0447692
+0.044504
+0.0443333
+0.0442618
+0.0442987
+0.0444437
+0.0446957
+0.045053
+0.0454982
+0.0460379
+0.0466743
+0.0474035
+0.0473388
+0.0466697
+0.0460815
+0.045588
+0.0451954
+0.0449063
+0.0447228
+0.0446462
+0.0442051
+0.0424535
+0.0407366
+0.0390673
+0.0374475
+0.0358854
+0.0343794
+0.0329419
+0.0311475
+0.0293556
+0.0276204
+0.0259358
+0.0243107
+0.0227439
+0.0212711
+0.0199206
+0.0185673
+0.0173138
+0.0162359
+0.0153452
+0.014625
+0.0140217
+0.0136711
+0.0133426
+0.0131064
+0.0131805
+0.0134483
+0.0139555
+0.0147374
+0.0157171
+0.0154082
+0.014508
+0.0138526
+0.0133924
+0.0132017
+0.0133572
+0.0138087
+0.0145789
+0.0156208
+0.0168378
+0.0182148
+0.0196588
+0.021225
+0.0228851
+0.0246283
+0.0264148
+0.0282261
+0.0300879
+0.0319913
+0.0339295
+0.0358567
+0.0377523
+0.0396732
+0.0416138
+0.0434442
+0.0450973
+0.0461373
+0.0471736
+0.0482697
+0.0492966
+0.0493661
+0.0495325
+0.0497947
+0.0501514
+0.0505942
+0.0511152
+0.0517238
+0.0542206
+0.053757
+0.0533794
+0.0530896
+0.0522561
+0.0512104
+0.0502385
+0.0493448
+0.0485336
+0.0477979
+0.0471442
+0.0465845
+0.0461221
+0.04576
+0.0455007
+0.0453381
+0.0452682
+0.0453043
+0.0454461
+0.0456926
+0.0460421
+0.0464923
+0.0470255
+0.0476488
+0.0483633
+0.0482421
+0.0475858
+0.047009
+0.0465253
+0.0461407
+0.0458576
+0.045678
+0.0452063
+0.0433893
+0.0416033
+0.0398481
+0.0381338
+0.0364673
+0.0348489
+0.0332961
+0.0318184
+0.0304267
+0.0291292
+0.0279315
+0.0268501
+0.0258111
+0.0243279
+0.0228735
+0.021471
+0.0201878
+0.019026
+0.0180506
+0.017201
+0.0165433
+0.0159756
+0.0153413
+0.0148748
+0.014659
+0.0147269
+0.0149248
+0.015376
+0.0160774
+0.014871
+0.0137388
+0.0127607
+0.0120243
+0.0115541
+0.0113324
+0.0115031
+0.0120245
+0.0129017
+0.0140527
+0.0153847
+0.0168658
+0.0184158
+0.0200793
+0.0218267
+0.0236079
+0.0254304
+0.027307
+0.0292274
+0.0311834
+0.0331688
+0.0351302
+0.0370565
+0.0389087
+0.04051
+0.0421643
+0.0438656
+0.0456067
+0.047381
+0.0490047
+0.0494378
+0.0495071
+0.049673
+0.0499345
+0.0502902
+0.0507318
+0.0512514
+0.0518584
+0.054623
+0.0541697
+0.053795
+0.0535075
+0.0532011
+0.0521743
+0.0512207
+0.0503444
+0.0495496
+0.0488245
+0.0481848
+0.0476373
+0.0471852
+0.0468314
+0.046578
+0.0464241
+0.0463559
+0.0463911
+0.0465296
+0.0467704
+0.0471119
+0.047552
+0.0480879
+0.0487023
+0.0494016
+0.0492155
+0.048566
+0.0480078
+0.0475441
+0.0471689
+0.046892
+0.0463932
+0.0445168
+0.042666
+0.0408352
+0.0390415
+0.0372902
+0.035583
+0.0339224
+0.0323251
+0.0308009
+0.029361
+0.0280142
+0.0267666
+0.0256457
+0.0246689
+0.0238428
+0.0231859
+0.0227147
+0.021899
+0.020828
+0.0199026
+0.0191255
+0.0182415
+0.0174296
+0.0168461
+0.0164065
+0.0161726
+0.0160977
+0.0162913
+0.0162658
+0.0146457
+0.0131916
+0.0119026
+0.0108979
+0.0102115
+0.00976141
+0.00957767
+0.00978918
+0.0103969
+0.0113951
+0.0126394
+0.0140641
+0.0156079
+0.0172902
+0.0190759
+0.0208835
+0.0227133
+0.0246021
+0.0265374
+0.0285063
+0.0304992
+0.032486
+0.0344726
+0.0360047
+0.037602
+0.0392566
+0.0409616
+0.0427053
+0.0444874
+0.0463045
+0.0481528
+0.0495882
+0.0496572
+0.0498226
+0.0500834
+0.050438
+0.0508846
+0.0514207
+0.0520435
+0.0550605
+0.0546381
+0.0542734
+0.0539884
+0.0537912
+0.053211
+0.0522763
+0.051418
+0.0506388
+0.0499263
+0.0493008
+0.0487658
+0.0483243
+0.0479789
+0.0477316
+0.047584
+0.0475197
+0.047554
+0.0476891
+0.0479241
+0.0482574
+0.0486872
+0.0492108
+0.0498214
+0.0505125
+0.0502024
+0.0495659
+0.049019
+0.0485646
+0.0481963
+0.0477518
+0.0458264
+0.0439185
+0.042028
+0.0401681
+0.0383432
+0.0365585
+0.0348143
+0.0331152
+0.0314769
+0.0299095
+0.0284245
+0.0270311
+0.0257359
+0.024568
+0.0235465
+0.0226911
+0.0220001
+0.0214894
+0.0211938
+0.0211226
+0.0212778
+0.0205998
+0.0196522
+0.0188361
+0.0181318
+0.0176342
+0.0173883
+0.0173742
+0.0168566
+0.014996
+0.0132368
+0.0116081
+0.0101878
+0.0090034
+0.00817702
+0.00780627
+0.0078381
+0.00822868
+0.00895937
+0.0100455
+0.011343
+0.0128823
+0.0145522
+0.0163434
+0.0182186
+0.0200522
+0.0219503
+0.0238886
+0.0258662
+0.0278757
+0.0298926
+0.0316122
+0.0331317
+0.0347229
+0.0363766
+0.0380844
+0.0398335
+0.0416232
+0.0434497
+0.0453085
+0.0471958
+0.0491082
+0.0498596
+0.0500243
+0.050284
+0.0506372
+0.0510821
+0.0516161
+0.0522366
+0.055581
+0.0551626
+0.0548285
+0.0545532
+0.054358
+0.0542506
+0.053401
+0.0525611
+0.0517947
+0.0510982
+0.0504873
+0.049965
+0.0495342
+0.0491972
+0.0489561
+0.0488122
+0.0487542
+0.0487877
+0.0489193
+0.0491484
+0.0494735
+0.0498928
+0.0504039
+0.0510002
+0.0516756
+0.051264
+0.0506408
+0.0501057
+0.0496589
+0.0492579
+0.0472883
+0.0453389
+0.0434096
+0.041495
+0.0396068
+0.0377514
+0.0359338
+0.0341599
+0.0324357
+0.0307616
+0.0291557
+0.0276232
+0.0261744
+0.0248345
+0.0236221
+0.0225578
+0.0216634
+0.0209318
+0.0203964
+0.0200854
+0.0200102
+0.0201606
+0.020539
+0.0210064
+0.020155
+0.019463
+0.0189589
+0.0186909
+0.017918
+0.0159041
+0.0139416
+0.0120412
+0.0102431
+0.00861376
+0.00724956
+0.00624907
+0.00577317
+0.00597021
+0.0067547
+0.00775078
+0.00885719
+0.0103054
+0.0119421
+0.0137288
+0.0156187
+0.0174776
+0.0193814
+0.0213404
+0.0233386
+0.0253595
+0.0273601
+0.0287906
+0.0302932
+0.0318756
+0.0335266
+0.0352364
+0.0369969
+0.0387951
+0.0406306
+0.0424997
+0.0443983
+0.0463227
+0.0482697
+0.0501569
+0.0503207
+0.0505788
+0.05093
+0.0513723
+0.0519034
+0.0525205
+0.0561821
+0.0557682
+0.0554378
+0.0551925
+0.0550063
+0.0549002
+0.0545881
+0.053766
+0.0530072
+0.0523269
+0.0517305
+0.0512209
+0.0508007
+0.0504722
+0.0502372
+0.050097
+0.0500522
+0.0500867
+0.050215
+0.0504382
+0.050755
+0.0511638
+0.0516623
+0.0522443
+0.0529038
+0.0523956
+0.0517861
+0.0512629
+0.050824
+0.0489022
+0.0469176
+0.0449456
+0.0429858
+0.0410494
+0.0391398
+0.0372611
+0.0354183
+0.0336173
+0.031865
+0.030162
+0.0285139
+0.0269351
+0.0254471
+0.0240668
+0.0228136
+0.0217097
+0.0207664
+0.019988
+0.0194267
+0.0191015
+0.0190247
+0.0191785
+0.0195759
+0.0202043
+0.0210405
+0.0207268
+0.0202464
+0.0193583
+0.0172456
+0.0151549
+0.0130971
+0.0110902
+0.0091102
+0.00724749
+0.00562623
+0.0044139
+0.00386902
+0.00410788
+0.00514028
+0.00664066
+0.00799723
+0.00957635
+0.0113188
+0.0131722
+0.0150946
+0.0169886
+0.0189417
+0.0209419
+0.0229753
+0.0246363
+0.026032
+0.0275109
+0.0290796
+0.0307246
+0.0324342
+0.0341987
+0.03601
+0.0378551
+0.039734
+0.0416434
+0.0435793
+0.0455383
+0.0475175
+0.0495146
+0.05071
+0.0509662
+0.0513147
+0.0517537
+0.0522809
+0.0528936
+0.0568613
+0.0564524
+0.056126
+0.0558837
+0.0557265
+0.0556285
+0.0556099
+0.0550179
+0.0542766
+0.0536124
+0.0530305
+0.0525335
+0.0521239
+0.0518038
+0.0515749
+0.0514383
+0.0513948
+0.0514414
+0.0515663
+0.0517836
+0.0520923
+0.0524907
+0.0529767
+0.053548
+0.0541928
+0.053593
+0.0529972
+0.0524861
+0.0506543
+0.0486418
+0.0466353
+0.0446422
+0.0426685
+0.040717
+0.038791
+0.0368946
+0.0350314
+0.0331992
+0.031411
+0.0296767
+0.0280001
+0.0263905
+0.02487
+0.0234557
+0.0221681
+0.0210294
+0.0200548
+0.0192484
+0.0186648
+0.0183262
+0.0182461
+0.0184059
+0.0188196
+0.0194724
+0.0203388
+0.0213725
+0.0211119
+0.0189439
+0.0167817
+0.0146281
+0.0124874
+0.0103676
+0.00828475
+0.00627382
+0.0043592
+0.00279981
+0.00204134
+0.0025106
+0.0039528
+0.00578755
+0.00764379
+0.0092508
+0.0110165
+0.0128748
+0.014808
+0.0167738
+0.0187493
+0.0207565
+0.0220116
+0.0233587
+0.0248035
+0.0263513
+0.0279852
+0.0296909
+0.0314567
+0.033273
+0.0351321
+0.037021
+0.0389402
+0.0408867
+0.0428568
+0.0448473
+0.0468557
+0.0488798
+0.050916
+0.051444
+0.0517893
+0.0522243
+0.0527468
+0.0533542
+0.0576159
+0.0572123
+0.0568903
+0.0566513
+0.0564963
+0.0564259
+0.0564142
+0.0563272
+0.0556034
+0.0549552
+0.0543877
+0.0539032
+0.0535041
+0.0531923
+0.0529693
+0.0528364
+0.052794
+0.0528425
+0.0529736
+0.0531852
+0.0534858
+0.0538739
+0.0543475
+0.0549046
+0.0555142
+0.0548518
+0.0542698
+0.0525249
+0.0504868
+0.0484621
+0.0464465
+0.0444449
+0.042462
+0.0405005
+0.0385608
+0.0366418
+0.0347547
+0.0329051
+0.0311
+0.0293361
+0.0276309
+0.0259986
+0.0244537
+0.0230138
+0.0216938
+0.0205189
+0.01952
+0.0187251
+0.0181304
+0.0177791
+0.0176941
+0.01787
+0.0182958
+0.0189663
+0.0198364
+0.020898
+0.0209439
+0.018757
+0.0165712
+0.0143869
+0.0122048
+0.0100265
+0.00785514
+0.00569854
+0.00358353
+0.00162391
+0.000462763
+0.00156252
+0.0034387
+0.0054778
+0.00757719
+0.00921143
+0.010989
+0.0128276
+0.014709
+0.0166525
+0.018402
+0.0195262
+0.0208026
+0.0221985
+0.023714
+0.0253286
+0.0270243
+0.028787
+0.030605
+0.0324691
+0.0343716
+0.0363001
+0.0382555
+0.0402351
+0.0422356
+0.0442492
+0.0462778
+0.0483207
+0.0503759
+0.0520098
+0.0523514
+0.0527817
+0.0532988
+0.0538999
+0.0584428
+0.0580451
+0.0577277
+0.0574922
+0.0573394
+0.0572701
+0.0572845
+0.0573567
+0.0569835
+0.0563512
+0.0557979
+0.0553257
+0.054937
+0.0546334
+0.0544163
+0.0542869
+0.0542457
+0.0542929
+0.0544283
+0.0546388
+0.0549314
+0.0553093
+0.0557708
+0.0563137
+0.0568149
+0.0556433
+0.0541081
+0.0524488
+0.0504077
+0.0483796
+0.0463596
+0.0443526
+0.042357
+0.0403817
+0.0384297
+0.0365047
+0.0346111
+0.0327413
+0.0309136
+0.0291361
+0.0274185
+0.0257727
+0.0242134
+0.0227583
+0.0214226
+0.0202319
+0.0192181
+0.0184102
+0.017805
+0.0174471
+0.0173605
+0.0175491
+0.0180021
+0.0186586
+0.0195394
+0.0206163
+0.0209585
+0.0187692
+0.0165802
+0.0143918
+0.0122042
+0.0100179
+0.007834
+0.00565545
+0.00349209
+0.00136023
+-9.54241e-05
+0.00170127
+0.00367534
+0.00576205
+0.00787536
+0.00954824
+0.0112544
+0.012999
+0.0148482
+0.0162469
+0.0172338
+0.0184032
+0.0197355
+0.0212018
+0.0227837
+0.0244597
+0.0262118
+0.0280256
+0.0298899
+0.0317959
+0.0337365
+0.0356969
+0.0376766
+0.0396784
+0.0416993
+0.0437365
+0.0457879
+0.0478516
+0.0499261
+0.0520102
+0.0529472
+0.0533902
+0.0539186
+0.0545283
+0.0593392
+0.0589475
+0.058635
+0.0584031
+0.0582527
+0.0581845
+0.0581987
+0.0582953
+0.0584132
+0.0577966
+0.0572572
+0.0567972
+0.0564186
+0.056123
+0.0559117
+0.0557857
+0.0557456
+0.0557916
+0.0559234
+0.0561396
+0.056425
+0.056793
+0.0572425
+0.0577716
+0.0567618
+0.0551721
+0.0536233
+0.0521207
+0.0504138
+0.0483728
+0.0463432
+0.044329
+0.0423323
+0.0403557
+0.0384024
+0.036476
+0.0345808
+0.0327092
+0.0308797
+0.0291001
+0.0273802
+0.025732
+0.02417
+0.0227122
+0.0213736
+0.0201801
+0.0191634
+0.0183531
+0.017746
+0.017387
+0.0173
+0.0174892
+0.0179438
+0.0186023
+0.0194857
+0.0205654
+0.0211292
+0.0189596
+0.0167955
+0.0146392
+0.0124947
+0.0103561
+0.0082377
+0.00617002
+0.00422474
+0.00256775
+0.00190675
+0.00287234
+0.00452475
+0.00640621
+0.00838636
+0.0102289
+0.0118099
+0.0134805
+0.0144354
+0.0152258
+0.0162421
+0.0174648
+0.0188634
+0.0203925
+0.0220326
+0.0237617
+0.0255616
+0.0274185
+0.0293215
+0.0312576
+0.0332129
+0.035196
+0.0372023
+0.0392284
+0.0412713
+0.0433286
+0.0453984
+0.0474791
+0.0495692
+0.0516677
+0.053607
+0.0540446
+0.0545667
+0.0551709
+0.0603019
+0.0599164
+0.0596091
+0.059381
+0.0592331
+0.059166
+0.0591799
+0.0592749
+0.0594492
+0.0592877
+0.0587619
+0.0583138
+0.0579451
+0.0576573
+0.0574517
+0.0573291
+0.0572901
+0.0573348
+0.0574631
+0.0576743
+0.0579551
+0.0583134
+0.0587513
+0.0580127
+0.0563851
+0.0547844
+0.0532244
+0.0517102
+0.050244
+0.0484503
+0.0464241
+0.0444135
+0.0424208
+0.0404485
+0.0384999
+0.0365787
+0.0346891
+0.0328237
+0.0310009
+0.0292287
+0.0275169
+0.0258773
+0.0243247
+0.0228768
+0.0215484
+0.0203651
+0.0193582
+0.018543
+0.0179558
+0.0176014
+0.0175155
+0.0177024
+0.0181266
+0.018795
+0.0196772
+0.020747
+0.0215194
+0.0193833
+0.0172606
+0.0151573
+0.0130828
+0.0110532
+0.00909854
+0.00725003
+0.0056295
+0.00444297
+0.00406964
+0.00464808
+0.00593936
+0.00753767
+0.00936106
+0.0111013
+0.0125559
+0.0130706
+0.0135991
+0.0144267
+0.0154837
+0.0167618
+0.0182097
+0.0197883
+0.0214746
+0.0232452
+0.0250822
+0.0269721
+0.0288906
+0.0308403
+0.0328205
+0.0348259
+0.0368524
+0.0388967
+0.040956
+0.0430268
+0.0451079
+0.0471989
+0.0492985
+0.0514057
+0.0535196
+0.0547789
+0.055294
+0.0558903
+0.0613277
+0.0609488
+0.0606466
+0.0604224
+0.0602771
+0.0602111
+0.0602249
+0.0603182
+0.0604908
+0.0607142
+0.0603074
+0.0598709
+0.0595118
+0.0592316
+0.0590315
+0.0589122
+0.0588742
+0.0589178
+0.0590426
+0.0592482
+0.0595229
+0.0598718
+0.0593922
+0.0577273
+0.0560915
+0.0544822
+0.0529133
+0.0513899
+0.0499162
+0.0483333
+0.0466079
+0.0446056
+0.0426219
+0.0406594
+0.0387214
+0.0368117
+0.0349347
+0.0330832
+0.0312755
+0.0295198
+0.0278259
+0.0262057
+0.0246737
+0.0232475
+0.021931
+0.0207544
+0.0197513
+0.0189495
+0.0183753
+0.0180315
+0.0179477
+0.0181301
+0.0185423
+0.0191962
+0.020069
+0.0211338
+0.022082
+0.0200058
+0.0179569
+0.0159457
+0.0139886
+0.0121041
+0.0103171
+0.0087162
+0.00739496
+0.0065122
+0.00624838
+0.00665382
+0.00764324
+0.00900988
+0.0105985
+0.0119503
+0.0120526
+0.0123558
+0.0129752
+0.013849
+0.0149945
+0.0162985
+0.0177771
+0.019391
+0.0211091
+0.0229079
+0.02477
+0.0266716
+0.0286008
+0.0305652
+0.0325585
+0.0345756
+0.0366127
+0.0386666
+0.0407348
+0.0428135
+0.0448987
+0.0469936
+0.0490968
+0.0512074
+0.0533244
+0.0554471
+0.0560861
+0.0566741
+0.0624136
+0.0620413
+0.0617445
+0.0615243
+0.0613816
+0.0613168
+0.0613303
+0.061422
+0.0615915
+0.0618109
+0.0618867
+0.0614614
+0.0611117
+0.0608389
+0.060644
+0.0605279
+0.060491
+0.0605333
+0.0606548
+0.060855
+0.061129
+0.0608916
+0.0591946
+0.0575241
+0.0558823
+0.0542668
+0.0526915
+0.0511615
+0.049681
+0.0481289
+0.0465505
+0.0449039
+0.0429339
+0.0409864
+0.0390638
+0.0371597
+0.035289
+0.0334571
+0.0316708
+0.0299383
+0.0282695
+0.0266762
+0.0251729
+0.0237767
+0.0224903
+0.0213444
+0.0203704
+0.019594
+0.0190392
+0.0187076
+0.0186269
+0.0188027
+0.0192005
+0.0198326
+0.0206786
+0.0217135
+0.0228415
+0.0208411
+0.0188831
+0.0169819
+0.0151388
+0.0133984
+0.0118089
+0.010432
+0.00932483
+0.00864024
+0.00843332
+0.00874874
+0.00953499
+0.0106959
+0.0118999
+0.0116502
+0.0116718
+0.0120038
+0.012641
+0.0135381
+0.0147078
+0.0160712
+0.017569
+0.0191859
+0.0209038
+0.0227031
+0.024565
+0.0264757
+0.0284263
+0.0304096
+0.0324061
+0.0344248
+0.0364634
+0.0385187
+0.0405881
+0.0426697
+0.0447616
+0.0468626
+0.0489715
+0.0510872
+0.053209
+0.0553308
+0.0569483
+0.0575275
+0.0635565
+0.0631909
+0.0628995
+0.0626834
+0.0625433
+0.0624798
+0.062493
+0.062583
+0.0627474
+0.0629647
+0.0632525
+0.0630879
+0.0627472
+0.0624816
+0.0622919
+0.0621788
+0.0621429
+0.0621841
+0.0623024
+0.0624973
+0.0624907
+0.0607653
+0.0590707
+0.0574038
+0.0557585
+0.0541393
+0.0525601
+0.0510262
+0.0495416
+0.0480237
+0.0464417
+0.0449043
+0.0433529
+0.0414143
+0.0395021
+0.0376203
+0.0357736
+0.0339679
+0.0322099
+0.030508
+0.0288721
+0.0273141
+0.0258479
+0.0244902
+0.0232433
+0.0221365
+0.0211989
+0.0204539
+0.0199231
+0.0196042
+0.0195272
+0.019695
+0.0200773
+0.0206826
+0.0214952
+0.0224926
+0.0236497
+0.0218648
+0.0199979
+0.0181949
+0.016486
+0.0149038
+0.0134928
+0.0122757
+0.0113498
+0.0107857
+0.0106206
+0.0108814
+0.0115231
+0.0125129
+0.0118421
+0.0115201
+0.0115403
+0.0118954
+0.0125687
+0.013504
+0.0146133
+0.0159479
+0.0174563
+0.0190798
+0.0208023
+0.022606
+0.024473
+0.0263897
+0.0283462
+0.0303347
+0.0323494
+0.0343856
+0.0364265
+0.0384837
+0.0405549
+0.0426381
+0.0447315
+0.0468339
+0.048944
+0.0510608
+0.0531682
+0.0551888
+0.057222
+0.0584506
+0.0647533
+0.0643945
+0.0641086
+0.0638966
+0.0637592
+0.0636969
+0.0637098
+0.0637842
+0.0639329
+0.0641561
+0.064453
+0.0647476
+0.0644158
+0.064157
+0.0639723
+0.0638622
+0.0638272
+0.0638673
+0.0639825
+0.0641723
+0.062442
+0.0607151
+0.0590191
+0.0573566
+0.0557205
+0.0541002
+0.0525199
+0.0509847
+0.0494989
+0.0480183
+0.0464361
+0.0448986
+0.0434126
+0.0419426
+0.0400556
+0.0382011
+0.0363839
+0.03461
+0.0328864
+0.0312214
+0.029625
+0.0281086
+0.0266862
+0.0253733
+0.024172
+0.0231097
+0.0222133
+0.0215035
+0.0209914
+0.0206888
+0.0206158
+0.0207748
+0.0211455
+0.0217212
+0.0224963
+0.0234511
+0.0245631
+0.0230344
+0.0212631
+0.019577
+0.0179998
+0.0165628
+0.0152849
+0.0142182
+0.0134269
+0.0129463
+0.0128091
+0.0130334
+0.0135737
+0.0127329
+0.0120535
+0.0117373
+0.0117571
+0.0121593
+0.0128405
+0.0136869
+0.0147825
+0.0161031
+0.0175981
+0.0192118
+0.0209234
+0.0227175
+0.024576
+0.0264853
+0.0284352
+0.0304179
+0.0324274
+0.0344589
+0.0365089
+0.0385733
+0.04064
+0.042719
+0.0448086
+0.0469075
+0.0490144
+0.051102
+0.0531109
+0.0551336
+0.0571688
+0.059215
+0.0660012
+0.0656492
+0.0653688
+0.0651609
+0.0650261
+0.0649539
+0.0649523
+0.0650246
+0.0651704
+0.0653894
+0.0656808
+0.0660368
+0.0661148
+0.0658627
+0.0656828
+0.0655756
+0.0655415
+0.0655806
+0.0656928
+0.0642245
+0.0624701
+0.060744
+0.0590488
+0.0573871
+0.055762
+0.0541498
+0.052571
+0.0510374
+0.0495532
+0.0481128
+0.0465338
+0.0449996
+0.043517
+0.0420963
+0.0407196
+0.0388968
+0.0371137
+0.0353764
+0.033692
+0.0320689
+0.0305168
+0.029047
+0.0276728
+0.0264091
+0.0252571
+0.0242424
+0.0233894
+0.0227164
+0.0222247
+0.0219391
+0.0218703
+0.0220202
+0.0223779
+0.0229226
+0.0236583
+0.024568
+0.0256316
+0.0243389
+0.0226699
+0.0210964
+0.0196417
+0.0183238
+0.0171666
+0.016224
+0.0155352
+0.0151155
+0.0149982
+0.0151351
+0.0141059
+0.0131974
+0.0125522
+0.0122489
+0.012305
+0.0126245
+0.0132754
+0.0141308
+0.015209
+0.0164955
+0.0179579
+0.0195566
+0.0212488
+0.023025
+0.0248675
+0.0267604
+0.0286916
+0.0306577
+0.0326525
+0.0346709
+0.036709
+0.0387638
+0.0408327
+0.0429117
+0.0449924
+0.0470831
+0.0491443
+0.0511363
+0.0531439
+0.0551654
+0.0571994
+0.0592446
+0.0672973
+0.0669521
+0.0666772
+0.0664649
+0.0663188
+0.0662448
+0.0662433
+0.0663141
+0.0664572
+0.0666719
+0.0669577
+0.0673109
+0.0677221
+0.0675964
+0.0674211
+0.0673167
+0.0672834
+0.0673215
+0.0661041
+0.0643264
+0.0625749
+0.0608518
+0.0591597
+0.0575012
+0.0558794
+0.0542777
+0.0527095
+0.0511798
+0.0496995
+0.0482733
+0.0467341
+0.0452067
+0.0437311
+0.0423176
+0.0409725
+0.0396895
+0.037956
+0.0362591
+0.0346177
+0.0330401
+0.0315358
+0.0301158
+0.0287927
+0.0275803
+0.0264793
+0.0255133
+0.0247042
+0.0240634
+0.0235973
+0.0233285
+0.0232638
+0.0234048
+0.0237479
+0.0242627
+0.024959
+0.0258229
+0.0268368
+0.025764
+0.0241934
+0.0227258
+0.0213797
+0.0201599
+0.0191141
+0.0182723
+0.0176636
+0.0172902
+0.0169385
+0.0159276
+0.0148155
+0.0139512
+0.0133451
+0.0130602
+0.0130958
+0.0133964
+0.0140274
+0.0148396
+0.015914
+0.0171607
+0.0185709
+0.0201209
+0.0217693
+0.0235062
+0.0253137
+0.0271776
+0.029087
+0.0310337
+0.033011
+0.0350136
+0.0370376
+0.0390753
+0.0411286
+0.0431953
+0.0452738
+0.0473088
+0.0492775
+0.0512643
+0.0532671
+0.0552841
+0.0573115
+0.0593477
+0.0686282
+0.0682897
+0.0680114
+0.0677979
+0.0676546
+0.0675822
+0.0675806
+0.0676501
+0.0677903
+0.0680009
+0.0682811
+0.0686301
+0.0690347
+0.0693559
+0.0691851
+0.0690833
+0.0690509
+0.0680679
+0.0662756
+0.0645026
+0.062756
+0.0610381
+0.0593512
+0.0576983
+0.0560822
+0.0544864
+0.0529246
+0.0514012
+0.0499275
+0.048508
+0.0470297
+0.0455183
+0.0440533
+0.0426504
+0.0413162
+0.0400441
+0.0388479
+0.0372499
+0.0356541
+0.0341245
+0.0326701
+0.0313017
+0.0300308
+0.0288705
+0.0278206
+0.0269028
+0.0261368
+0.0255253
+0.0250864
+0.0248337
+0.0247729
+0.0249054
+0.0252282
+0.0257198
+0.0263777
+0.0271966
+0.028161
+0.0272907
+0.0258132
+0.024443
+0.0231808
+0.0220608
+0.0211094
+0.0202198
+0.019374
+0.0187036
+0.0180746
+0.016845
+0.0157891
+0.0149811
+0.0144248
+0.0141568
+0.0141507
+0.0144293
+0.0150231
+0.0158223
+0.0168341
+0.0180306
+0.019388
+0.0208792
+0.0224839
+0.0241771
+0.0259378
+0.0277598
+0.0296318
+0.0315449
+0.033492
+0.0354675
+0.0374669
+0.0394867
+0.0415238
+0.0435758
+0.0456099
+0.0475481
+0.0495073
+0.0514824
+0.0534713
+0.0554754
+0.0574932
+0.0595231
+0.0699913
+0.0696595
+0.0693839
+0.0691746
+0.0690342
+0.0689631
+0.0689617
+0.0690297
+0.0691672
+0.0693735
+0.0696482
+0.0699904
+0.070391
+0.0708521
+0.0709728
+0.0708736
+0.0701127
+0.0683048
+0.0665189
+0.0647526
+0.0630129
+0.0613021
+0.0596228
+0.0579775
+0.0563695
+0.0547821
+0.0532289
+0.0517145
+0.05025
+0.0488399
+0.0474112
+0.0459222
+0.0444757
+0.0430866
+0.0417663
+0.0405143
+0.0393324
+0.0382353
+0.0367919
+0.0353116
+0.0339082
+0.0325918
+0.0313733
+0.0302644
+0.0292646
+0.0283935
+0.0276667
+0.0270857
+0.0266725
+0.026435
+0.0263779
+0.0265023
+0.0268059
+0.0272752
+0.0278965
+0.028672
+0.0295884
+0.0288743
+0.027422
+0.0260333
+0.0247448
+0.0235708
+0.0224191
+0.0214104
+0.0205758
+0.0199131
+0.01912
+0.0179764
+0.0169909
+0.0162376
+0.0157016
+0.0154481
+0.0154422
+0.0156979
+0.0162348
+0.0169962
+0.0179608
+0.0191006
+0.0203869
+0.0218178
+0.0233647
+0.0250018
+0.0267183
+0.028499
+0.0303254
+0.0321973
+0.0341072
+0.036049
+0.0380179
+0.0400098
+0.0420216
+0.0440447
+0.0459478
+0.0478754
+0.0498171
+0.0517773
+0.0537553
+0.0557492
+0.0577574
+0.0597784
+0.0713957
+0.0710696
+0.0707975
+0.0705924
+0.0704548
+0.0703852
+0.0703838
+0.0704505
+0.0705852
+0.0707874
+0.0710566
+0.0713921
+0.0717885
+0.0722406
+0.072756
+0.0722326
+0.0704102
+0.0686077
+0.0668283
+0.0650741
+0.0633445
+0.0616429
+0.0599731
+0.0583378
+0.0567399
+0.0551632
+0.0536212
+0.0521182
+0.0506653
+0.0492671
+0.0478837
+0.0464163
+0.0449856
+0.0436127
+0.0423088
+0.0410804
+0.0399313
+0.0388457
+0.0378101
+0.0365915
+0.0352391
+0.0339743
+0.0328072
+0.0317484
+0.0307968
+0.0299703
+0.0292769
+0.0287285
+0.0283392
+0.0281158
+0.0280621
+0.0281791
+0.0284648
+0.0289131
+0.0294998
+0.0302343
+0.0311047
+0.0299418
+0.0285367
+0.0272182
+0.025927
+0.0247098
+0.0236117
+0.0226561
+0.0218626
+0.0212567
+0.0203471
+0.0192822
+0.0183748
+0.0176558
+0.0171641
+0.0169253
+0.0169096
+0.0171434
+0.0176364
+0.0183397
+0.0192474
+0.0203249
+0.0215627
+0.0229204
+0.0243994
+0.0259714
+0.0276277
+0.0293542
+0.0311391
+0.032973
+0.0348481
+0.0367521
+0.0386852
+0.0406444
+0.0426262
+0.044497
+0.0463816
+0.0482919
+0.0502174
+0.0521626
+0.0541265
+0.0561072
+0.058103
+0.0601124
+0.0728389
+0.0725165
+0.0722499
+0.072049
+0.0719142
+0.071846
+0.0718446
+0.0719099
+0.0720419
+0.07224
+0.0725038
+0.0728327
+0.0732248
+0.0736682
+0.0741736
+0.072577
+0.0707619
+0.0689685
+0.0671988
+0.0654544
+0.0637377
+0.0620508
+0.0603963
+0.058775
+0.0571894
+0.055628
+0.0540993
+0.05261
+0.0511711
+0.0497871
+0.0484374
+0.0470008
+0.0455951
+0.0442412
+0.0429564
+0.0417471
+0.0406199
+0.0395484
+0.0385358
+0.0376195
+0.036647
+0.0354324
+0.0343149
+0.0333042
+0.0324032
+0.0316076
+0.0309456
+0.0304273
+0.0300601
+0.0298495
+0.029799
+0.0299092
+0.0301785
+0.0306026
+0.0311748
+0.0318706
+0.0325481
+0.0310976
+0.0297158
+0.0284176
+0.0271508
+0.0259794
+0.0249331
+0.0240071
+0.0232511
+0.0226823
+0.0217263
+0.0207118
+0.0198689
+0.0192195
+0.0187689
+0.0185443
+0.0185204
+0.0187342
+0.0191863
+0.0198348
+0.0206866
+0.0216927
+0.0228651
+0.0241717
+0.0255785
+0.0270821
+0.0286743
+0.0303413
+0.0320713
+0.0338547
+0.0356835
+0.0375511
+0.0394519
+0.0413814
+0.0432199
+0.0450514
+0.0469137
+0.0488032
+0.0507093
+0.0526363
+0.0545832
+0.0565479
+0.0585287
+0.0605239
+0.0743187
+0.0740001
+0.0737388
+0.0735419
+0.0734099
+0.0733431
+0.0733417
+0.0734057
+0.073535
+0.0737291
+0.0739876
+0.0743099
+0.074695
+0.0751325
+0.0748094
+0.072984
+0.0711793
+0.0693967
+0.0676381
+0.0659055
+0.0642008
+0.0625264
+0.0608848
+0.0592769
+0.057705
+0.0561745
+0.0546612
+0.0531876
+0.0517647
+0.050397
+0.0490652
+0.0476655
+0.0463004
+0.0449677
+0.0437043
+0.0425162
+0.04141
+0.040358
+0.0393662
+0.0384737
+0.0376452
+0.0368941
+0.0358884
+0.0349232
+0.0340515
+0.0332941
+0.0326663
+0.0321758
+0.0318287
+0.0316299
+0.0315822
+0.0316863
+0.0319406
+0.0323416
+0.032884
+0.0335604
+0.0336304
+0.0322083
+0.0308763
+0.0296465
+0.0284672
+0.0273445
+0.026342
+0.0254672
+0.0247559
+0.0241742
+0.0232207
+0.0222632
+0.0214812
+0.0208837
+0.0204697
+0.0202709
+0.0202405
+0.0204362
+0.0208515
+0.0214496
+0.0222434
+0.0231821
+0.0242827
+0.0255231
+0.0268654
+0.0283132
+0.0298445
+0.0314495
+0.0331216
+0.0348513
+0.0366304
+0.038452
+0.0403104
+0.0421324
+0.0439
+0.0457042
+0.0475409
+0.0494064
+0.0512902
+0.0531961
+0.0551232
+0.0570693
+0.0590326
+0.0610114
+0.0758329
+0.075518
+0.075262
+0.0750691
+0.0749398
+0.0748744
+0.074873
+0.0749357
+0.0750623
+0.0752525
+0.0755058
+0.0758216
+0.0761991
+0.0766315
+0.0752681
+0.0734541
+0.0716612
+0.0698909
+0.0681451
+0.0664257
+0.0647347
+0.0630745
+0.0614475
+0.0598547
+0.0582985
+0.0567841
+0.0553041
+0.0538481
+0.0524432
+0.0510924
+0.0497667
+0.0484204
+0.0470852
+0.0457877
+0.0445474
+0.0433825
+0.042299
+0.0412681
+0.0402987
+0.0394273
+0.0386208
+0.037875
+0.0372327
+0.0365947
+0.035757
+0.0350365
+0.0344405
+0.0339755
+0.0336471
+0.0334591
+0.033414
+0.0335123
+0.0337529
+0.0341326
+0.034647
+0.0352901
+0.0347983
+0.0334259
+0.0321444
+0.0309434
+0.0298467
+0.0288076
+0.0278521
+0.0270262
+0.026357
+0.0256897
+0.0248086
+0.0239148
+0.0231886
+0.0226362
+0.0222548
+0.0220704
+0.0220334
+0.0222133
+0.0225969
+0.02315
+0.0238919
+0.0247725
+0.0258054
+0.0269759
+0.0282492
+0.0296295
+0.031103
+0.0326532
+0.0342667
+0.0359413
+0.037669
+0.0394426
+0.0412493
+0.0429416
+0.0446772
+0.0464512
+0.0482595
+0.0500983
+0.0519569
+0.0538393
+0.0557442
+0.0576693
+0.0596129
+0.061573
+0.0773794
+0.0770684
+0.0768175
+0.0766286
+0.0765019
+0.0764378
+0.0764364
+0.0764979
+0.0766219
+0.0768082
+0.0770564
+0.0773659
+0.0777359
+0.0776087
+0.0757874
+0.0739862
+0.0722064
+0.0704499
+0.0687183
+0.0670135
+0.0653377
+0.0636916
+0.0620769
+0.0604985
+0.0589592
+0.0574622
+0.0560109
+0.0545887
+0.0532033
+0.051854
+0.0505482
+0.0492611
+0.0479494
+0.0466876
+0.045472
+0.0443313
+0.0432716
+0.0422722
+0.0413264
+0.040475
+0.0396801
+0.0389444
+0.03832
+0.0378106
+0.0373993
+0.0368268
+0.0362602
+0.0358189
+0.0355075
+0.0353294
+0.0352867
+0.0353798
+0.0356078
+0.0359679
+0.0364564
+0.0370681
+0.0360494
+0.034726
+0.0334879
+0.0323289
+0.0312753
+0.0302672
+0.0293798
+0.0286311
+0.0279631
+0.0272757
+0.0264827
+0.0256474
+0.0249715
+0.0244595
+0.0241069
+0.023915
+0.0238808
+0.024047
+0.024409
+0.0249238
+0.0256144
+0.0264489
+0.0274187
+0.0285231
+0.0297302
+0.0310447
+0.032454
+0.0339463
+0.0355098
+0.0371284
+0.0388032
+0.0405273
+0.0421894
+0.0438454
+0.0455466
+0.047288
+0.0490655
+0.0508751
+0.0527064
+0.0545629
+0.0564434
+0.0583455
+0.0602672
+0.0621917
+0.078955
+0.0786492
+0.0784034
+0.0782183
+0.0780941
+0.0780313
+0.07803
+0.0780902
+0.0782117
+0.0783943
+0.0786375
+0.0789407
+0.0793034
+0.0781692
+0.0763647
+0.0745788
+0.0728135
+0.071072
+0.0693557
+0.0676636
+0.0660007
+0.0643694
+0.0627722
+0.0612117
+0.0596908
+0.0582126
+0.0567805
+0.0553981
+0.0540291
+0.0526957
+0.0514113
+0.0501835
+0.0488965
+0.0476709
+0.046481
+0.0453657
+0.0443295
+0.0433639
+0.0424424
+0.0415956
+0.0408178
+0.0401031
+0.039497
+0.039004
+0.0386069
+0.0383147
+0.038119
+0.0376994
+0.0374037
+0.0372346
+0.0371941
+0.0372825
+0.0374989
+0.037841
+0.0383056
+0.0387326
+0.0373758
+0.0360986
+0.0348889
+0.0337779
+0.03276
+0.0318039
+0.0309589
+0.0302178
+0.0295581
+0.0289408
+0.0282277
+0.0274454
+0.026815
+0.0263387
+0.0260014
+0.0258138
+0.0257821
+0.025936
+0.0262724
+0.0267595
+0.0274038
+0.0281919
+0.0291037
+0.0301473
+0.0312946
+0.032546
+0.0338929
+0.0353244
+0.0368307
+0.0384029
+0.0400253
+0.0416396
+0.0432115
+0.0448353
+0.046503
+0.0482099
+0.0499546
+0.0517331
+0.053535
+0.0553638
+0.0572179
+0.0590951
+0.0609932
+0.0628691
+0.0805583
+0.0802586
+0.0800178
+0.0798364
+0.0797148
+0.0796533
+0.079652
+0.079711
+0.07983
+0.0800089
+0.0802472
+0.0805444
+0.0805894
+0.0787794
+0.0769892
+0.0752203
+0.073474
+0.0717503
+0.0700474
+0.0683723
+0.066727
+0.0651139
+0.0635354
+0.0619941
+0.0604929
+0.0590348
+0.0576232
+0.0562614
+0.0549235
+0.0536138
+0.0523519
+0.0511527
+0.0499218
+0.0487266
+0.0475695
+0.04648
+0.0454583
+0.0445208
+0.0436224
+0.0427987
+0.0420315
+0.0413377
+0.04075
+0.0402706
+0.039885
+0.0396167
+0.0394452
+0.0393755
+0.0393305
+0.0391698
+0.0391313
+0.0392153
+0.039421
+0.0397467
+0.0401892
+0.0400656
+0.0387484
+0.0375045
+0.0363502
+0.0352942
+0.0343162
+0.0334121
+0.0325932
+0.0318507
+0.0312255
+0.030672
+0.0300311
+0.029297
+0.0287072
+0.0282629
+0.0279326
+0.0277556
+0.0277261
+0.0278693
+0.0281826
+0.0286451
+0.0292479
+0.0299845
+0.0308433
+0.03183
+0.0329304
+0.0341219
+0.0354089
+0.0367815
+0.0382304
+0.0397473
+0.0413146
+0.0427864
+0.0443175
+0.0459022
+0.0475351
+0.0492113
+0.0509225
+0.0526683
+0.0544393
+0.0562386
+0.0580649
+0.0599155
+0.0617683
+0.0636148
+0.0821888
+0.0818951
+0.0816591
+0.0814813
+0.0813622
+0.0813019
+0.0813007
+0.0813584
+0.0814751
+0.0816503
+0.0818838
+0.0821751
+0.0812405
+0.0794454
+0.0776706
+0.0759175
+0.0741877
+0.0724824
+0.0707974
+0.0691405
+0.067514
+0.0659201
+0.0643614
+0.0628403
+0.0613598
+0.0599229
+0.0585326
+0.0571925
+0.0558895
+0.0546043
+0.0533659
+0.05219
+0.0510207
+0.0498518
+0.0487322
+0.0476588
+0.0466627
+0.0457498
+0.044876
+0.0440779
+0.0433112
+0.0426382
+0.0420687
+0.041603
+0.0412299
+0.0409707
+0.0408273
+0.0407604
+0.0407872
+0.0408828
+0.0410217
+0.041034
+0.0411631
+0.0414051
+0.0417413
+0.0414347
+0.0401545
+0.0389555
+0.0378455
+0.0368324
+0.0359245
+0.0350744
+0.034253
+0.0335431
+0.03295
+0.0324501
+0.031883
+0.0311926
+0.0306393
+0.030215
+0.0298996
+0.029732
+0.0297045
+0.0298382
+0.030131
+0.0305633
+0.031129
+0.031827
+0.0326374
+0.0335713
+0.0346189
+0.0357626
+0.0369926
+0.0383085
+0.0397017
+0.0411644
+0.042583
+0.0440123
+0.0455023
+0.0470471
+0.0486415
+0.0502808
+0.0519608
+0.0536767
+0.0554155
+0.0571841
+0.058981
+0.0608006
+0.0626038
+0.0644264
+0.0838448
+0.0835569
+0.0833256
+0.0831514
+0.0830347
+0.0829756
+0.0829744
+0.083031
+0.0831453
+0.083317
+0.0835459
+0.083744
+0.0819451
+0.0801658
+0.0784072
+0.076671
+0.0749585
+0.0732713
+0.0716048
+0.069967
+0.0683601
+0.0667865
+0.0652485
+0.0637486
+0.0622897
+0.0608747
+0.0595066
+0.058189
+0.0569234
+0.05566
+0.0544456
+0.0532936
+0.0521834
+0.051041
+0.0499507
+0.0489071
+0.0479369
+0.0470488
+0.0461996
+0.0454091
+0.0446604
+0.044008
+0.0434565
+0.0430057
+0.0426449
+0.0423944
+0.0422561
+0.0422129
+0.0422267
+0.042319
+0.0424218
+0.0424338
+0.0425586
+0.0427927
+0.0431181
+0.0428646
+0.0416285
+0.0404732
+0.0394059
+0.038434
+0.0375648
+0.0367526
+0.0359696
+0.0352858
+0.0347225
+0.0342568
+0.0337426
+0.0331246
+0.0326041
+0.0321918
+0.0318957
+0.0317365
+0.0317107
+0.0318361
+0.0321107
+0.0325098
+0.0330422
+0.0337088
+0.0344773
+0.0353627
+0.0363587
+0.0374565
+0.0386357
+0.0398974
+0.0412369
+0.0425983
+0.043918
+0.0453052
+0.046754
+0.0482587
+0.0498144
+0.0514164
+0.0530604
+0.0547428
+0.0564598
+0.0581967
+0.0599633
+0.0617263
+0.063504
+0.0653014
+0.0855249
+0.0852426
+0.0850159
+0.0848452
+0.0847308
+0.0846729
+0.0846717
+0.0847272
+0.0848392
+0.0850075
+0.0852318
+0.0844845
+0.0827017
+0.080939
+0.0791977
+0.0774791
+0.0757849
+0.0741165
+0.0724695
+0.0708516
+0.0692653
+0.0677127
+0.0661962
+0.0647183
+0.0632817
+0.0618894
+0.0605443
+0.0592497
+0.058009
+0.0567681
+0.0555779
+0.0544498
+0.0533878
+0.0522826
+0.0512189
+0.05022
+0.0492757
+0.0484121
+0.0475872
+0.0468003
+0.0460742
+0.0454422
+0.0449082
+0.0444722
+0.0441234
+0.0438813
+0.0437477
+0.043706
+0.043723
+0.0438122
+0.0438867
+0.0438983
+0.044019
+0.0442453
+0.0445601
+0.0443567
+0.0431633
+0.0420502
+0.041024
+0.0400913
+0.0392575
+0.0384824
+0.0377315
+0.037076
+0.0365394
+0.0361036
+0.0356186
+0.035087
+0.0345946
+0.0341945
+0.0339159
+0.0337642
+0.03374
+0.0338578
+0.0341151
+0.0344856
+0.0349879
+0.0356182
+0.0363561
+0.0371968
+0.0381449
+0.0391927
+0.0403308
+0.041541
+0.0428252
+0.0440362
+0.045314
+0.0466598
+0.0480678
+0.0495326
+0.0510495
+0.0526139
+0.0542216
+0.055869
+0.0575527
+0.0592695
+0.0609834
+0.0627149
+0.0644642
+0.0662373
+0.0872276
+0.0869509
+0.0867287
+0.0865613
+0.0864492
+0.0863925
+0.0863913
+0.0864456
+0.0865554
+0.0867204
+0.0869403
+0.0852748
+0.083509
+0.0817637
+0.0800402
+0.0783402
+0.0766651
+0.0750162
+0.0733894
+0.0717923
+0.0702272
+0.0686963
+0.067202
+0.0657467
+0.0643331
+0.062964
+0.0616424
+0.0603714
+0.059142
+0.0579378
+0.0567721
+0.0556682
+0.05463
+0.053585
+0.0525478
+0.0515822
+0.0506738
+0.0498345
+0.0490335
+0.0482504
+0.0475464
+0.0469342
+0.0464174
+0.0459963
+0.0456592
+0.0454252
+0.0452962
+0.045256
+0.0452759
+0.045362
+0.0454101
+0.0454212
+0.0455379
+0.0457567
+0.0460611
+0.0459049
+0.0447528
+0.0436802
+0.0426932
+0.0417978
+0.0409951
+0.0402572
+0.0395324
+0.0389073
+0.0383903
+0.0379752
+0.0375287
+0.0370747
+0.0366019
+0.036219
+0.035956
+0.0358111
+0.0357883
+0.0358994
+0.0361375
+0.0364859
+0.0369611
+0.0375582
+0.0382681
+0.0390677
+0.0399715
+0.0409726
+0.042064
+0.0432333
+0.0443641
+0.0455341
+0.0467711
+0.0480761
+0.0494437
+0.050869
+0.0523471
+0.0538738
+0.0554451
+0.0570572
+0.0587067
+0.0603904
+0.0620612
+0.0637634
+0.0654825
+0.0672287
+0.0889517
+0.0886803
+0.0884624
+0.0882984
+0.0881885
+0.0881329
+0.0881317
+0.088185
+0.0882926
+0.0884544
+0.0878818
+0.0861137
+0.0843654
+0.0826382
+0.0809334
+0.0792525
+0.077597
+0.0759684
+0.0743624
+0.0727867
+0.0712434
+0.0697349
+0.0682633
+0.0668311
+0.065441
+0.0640956
+0.0627978
+0.0615506
+0.0603299
+0.0591615
+0.0580245
+0.0569449
+0.0559303
+0.0549439
+0.053933
+0.0529927
+0.0521261
+0.051311
+0.0505135
+0.0497451
+0.0490626
+0.0484695
+0.0479693
+0.0475648
+0.0472466
+0.0470206
+0.0468959
+0.046857
+0.0468798
+0.046963
+0.0469862
+0.046997
+0.0471097
+0.0473213
+0.0476075
+0.0475037
+0.0463913
+0.0453575
+0.0444078
+0.0435468
+0.0427742
+0.0420711
+0.0413709
+0.040774
+0.0402748
+0.0398794
+0.039468
+0.0390754
+0.0386292
+0.0382618
+0.0380129
+0.0378741
+0.0378525
+0.0379575
+0.038177
+0.038507
+0.0389575
+0.0395245
+0.040203
+0.0409702
+0.0418329
+0.0427905
+0.0438368
+0.044898
+0.0459558
+0.0470864
+0.0482836
+0.0495488
+0.0508768
+0.052263
+0.0537028
+0.055192
+0.0567268
+0.0583034
+0.0599187
+0.0615566
+0.0631965
+0.0648669
+0.0665572
+0.0682759
+0.0906959
+0.0904298
+0.0902161
+0.0900553
+0.0899475
+0.089893
+0.0898919
+0.0899441
+0.0900496
+0.0902082
+0.0887501
+0.0869996
+0.0852695
+0.083561
+0.0818754
+0.0802143
+0.0785791
+0.0769712
+0.0753866
+0.0738327
+0.0723118
+0.070826
+0.0693776
+0.0679689
+0.0666025
+0.065281
+0.0640072
+0.0627726
+0.0615727
+0.0604285
+0.0593314
+0.058276
+0.057285
+0.056354
+0.0553703
+0.0544548
+0.0536131
+0.0528314
+0.0520354
+0.0512898
+0.0506281
+0.0500536
+0.0495693
+0.049178
+0.0488701
+0.0486516
+0.0485311
+0.0485042
+0.0485295
+0.0486099
+0.0485935
+0.0486039
+0.048713
+0.04892
+0.0491853
+0.0491481
+0.0480738
+0.0470769
+0.0461626
+0.0453317
+0.0445901
+0.043915
+0.0432423
+0.0426716
+0.042189
+0.0418116
+0.0414323
+0.0410941
+0.0406725
+0.0403201
+0.040084
+0.0399507
+0.0399302
+0.0400298
+0.0402324
+0.0405457
+0.0409738
+0.0415132
+0.0421598
+0.0429003
+0.043725
+0.044642
+0.0456365
+0.0465746
+0.0475953
+0.0486878
+0.0498465
+0.051073
+0.0523624
+0.0537103
+0.0551123
+0.0565644
+0.0580629
+0.0596042
+0.0611851
+0.0627776
+0.0643864
+0.0660245
+0.0676858
+0.0693766
+0.0924591
+0.0921981
+0.0919886
+0.0918308
+0.0917251
+0.0916717
+0.0916706
+0.0917218
+0.0918252
+0.0914155
+0.0896635
+0.0879312
+0.0862198
+0.0845305
+0.0828646
+0.0812237
+0.0796093
+0.0780226
+0.0764598
+0.0749282
+0.07343
+0.0719673
+0.0705423
+0.0691573
+0.0678149
+0.0665175
+0.0652679
+0.0640431
+0.0628674
+0.0617471
+0.0606834
+0.0596578
+0.0586902
+0.0577819
+0.0568557
+0.0559644
+0.0551458
+0.054378
+0.0536035
+0.0528801
+0.0522385
+0.0516819
+0.0512131
+0.0508344
+0.050533
+0.0503218
+0.0502053
+0.0501817
+0.050218
+0.0502957
+0.0502423
+0.0502524
+0.0503579
+0.0505582
+0.0508085
+0.0508338
+0.0497958
+0.0488342
+0.047953
+0.0471509
+0.0464383
+0.045785
+0.0451401
+0.0445929
+0.0441288
+0.0437682
+0.0434183
+0.0431252
+0.0427274
+0.0423917
+0.0421672
+0.0420389
+0.0420194
+0.0421135
+0.0423014
+0.0425994
+0.0430071
+0.0435214
+0.0441385
+0.0448542
+0.0456437
+0.0465229
+0.0473883
+0.0482925
+0.0492775
+0.0503335
+0.0514552
+0.0526442
+0.0538961
+0.0552065
+0.0565715
+0.057987
+0.0594497
+0.0609559
+0.0625027
+0.0640503
+0.0656279
+0.0672335
+0.0688657
+0.0705282
+0.0942403
+0.0939842
+0.0937787
+0.0936239
+0.0935203
+0.0934678
+0.0934667
+0.093517
+0.0936185
+0.0923545
+0.0906207
+0.0889071
+0.0872148
+0.0855451
+0.0838994
+0.0822791
+0.0806858
+0.0791208
+0.0775801
+0.076071
+0.0745957
+0.0731563
+0.071755
+0.0703939
+0.0690755
+0.0678022
+0.0665659
+0.0653622
+0.0642107
+0.0631143
+0.062074
+0.061087
+0.0601424
+0.0592563
+0.0583854
+0.0575179
+0.0567217
+0.0559655
+0.0552141
+0.054512
+0.0538899
+0.0533505
+0.0528965
+0.0525295
+0.0522349
+0.0520306
+0.051918
+0.0518951
+0.0519435
+0.0520139
+0.0519313
+0.051941
+0.0520431
+0.0522369
+0.0524662
+0.0525567
+0.0515535
+0.0506252
+0.0497725
+0.0490001
+0.0483148
+0.0476752
+0.0470562
+0.0465323
+0.0460912
+0.045746
+0.0454232
+0.0451431
+0.0447948
+0.0444746
+0.0442608
+0.044137
+0.0441184
+0.0442048
+0.0443821
+0.0446662
+0.0450552
+0.0455463
+0.0461364
+0.0468216
+0.0475859
+0.0483681
+0.0491642
+0.0500435
+0.0509984
+0.0520195
+0.0531056
+0.0542585
+0.0554739
+0.0567479
+0.0580766
+0.0594564
+0.0608837
+0.0623554
+0.063859
+0.0653679
+0.0669144
+0.0684912
+0.0700942
+0.0717282
+0.0960384
+0.0957871
+0.0955855
+0.0954336
+0.0953319
+0.0952805
+0.0952794
+0.0953287
+0.0950703
+0.0933356
+0.0916203
+0.0899257
+0.0882529
+0.0866033
+0.0849781
+0.0833788
+0.0818055
+0.0802563
+0.0787375
+0.0772511
+0.0757988
+0.0743827
+0.0730049
+0.0716675
+0.070373
+0.0691236
+0.0679067
+0.0667273
+0.0655997
+0.0645269
+0.0635098
+0.0625493
+0.0616353
+0.0607739
+0.0599536
+0.0591118
+0.0583374
+0.0575926
+0.0568635
+0.056182
+0.0555786
+0.0550558
+0.0546159
+0.0542576
+0.0539721
+0.0537743
+0.0536654
+0.0536434
+0.0536959
+0.0537365
+0.0536565
+0.053666
+0.0537647
+0.0539474
+0.0541544
+0.0543133
+0.0533414
+0.0524388
+0.0516134
+0.050869
+0.0502092
+0.0495901
+0.0489954
+0.0484924
+0.0480732
+0.0477424
+0.0474444
+0.0471763
+0.0468734
+0.0465675
+0.0463633
+0.0462437
+0.046226
+0.0463036
+0.0464729
+0.0467443
+0.0471161
+0.047586
+0.0481511
+0.048808
+0.0495201
+0.0502024
+0.0509697
+0.0518184
+0.0527445
+0.0537419
+0.0547939
+0.0559119
+0.0570922
+0.0583308
+0.0596243
+0.060969
+0.0623618
+0.0637993
+0.0652489
+0.0667264
+0.0682422
+0.0697936
+0.0713687
+0.0729742
+0.0978525
+0.0976059
+0.097408
+0.097259
+0.0971592
+0.0971088
+0.0971077
+0.0971561
+0.0960736
+0.0943572
+0.0926609
+0.0909857
+0.0893328
+0.0877034
+0.086099
+0.0845173
+0.0829609
+0.0814336
+0.0799373
+0.0784736
+0.0770443
+0.0756515
+0.0742972
+0.0729836
+0.0717128
+0.0704872
+0.0692909
+0.0681354
+0.0670315
+0.065982
+0.0649877
+0.0640493
+0.063168
+0.062327
+0.0615321
+0.0607375
+0.0599839
+0.059256
+0.0585484
+0.0578867
+0.0573013
+0.0567943
+0.056368
+0.0560177
+0.0557412
+0.0555498
+0.0554443
+0.055423
+0.0554738
+0.055492
+0.0554146
+0.0554238
+0.0555194
+0.055674
+0.0558746
+0.056094
+0.0551494
+0.0542768
+0.0534797
+0.0527616
+0.0521258
+0.051527
+0.0509549
+0.0504714
+0.0500727
+0.0497552
+0.0494801
+0.0492231
+0.0489607
+0.0486684
+0.0484735
+0.0483578
+0.0483409
+0.0484105
+0.0485724
+0.0488322
+0.0491883
+0.0496385
+0.0501805
+0.0508112
+0.0514066
+0.0520642
+0.0528045
+0.0536241
+0.0545195
+0.055487
+0.0565166
+0.0576013
+0.0587476
+0.0599521
+0.0612113
+0.0625219
+0.0638808
+0.065277
+0.0666819
+0.0681282
+0.0696135
+0.0711353
+0.072687
+0.074264
+0.0886985
+0.0867469
+0.084807
+0.0828796
+0.0809656
+0.079066
+0.0771769
+0.075301
+0.0734426
+0.071603
+0.0697837
+0.0679862
+0.0662125
+0.0644644
+0.0627441
+0.0610539
+0.0593873
+0.0577511
+0.0561527
+0.0545955
+0.053083
+0.0516191
+0.0502082
+0.0488549
+0.0475639
+0.0463406
+0.0451905
+0.0441192
+0.0431326
+0.0422322
+0.0414104
+0.04069
+0.0400766
+0.0395751
+0.0391898
+0.0389242
+0.0387807
+0.0387607
+0.0388643
+0.0390906
+0.0394376
+0.039899
+0.040454
+0.0411182
+0.0418866
+0.0427535
+0.0437131
+0.0447594
+0.0458866
+0.0470887
+0.0483602
+0.0496959
+0.0510905
+0.0525395
+0.0540385
+0.0555835
+0.0571706
+0.0587965
+0.0604581
+0.0621525
+0.0638771
+0.0655254
+0.0671681
+0.0688395
+0.0704016
+0.0718742
+0.0733827
+0.0749213
+0.0764839
+0.0780767
+0.0796979
+0.0813457
+0.0830079
+0.0846302
+0.0862754
+0.0879444
+0.0892663
+0.0893491
+0.0894855
+0.0896647
+0.0898868
+0.0901616
+0.0904882
+0.0908572
+0.0912767
+0.0917467
+0.0922603
+0.0928187
+0.0934252
+0.0940788
+0.0947785
+0.0955233
+0.0963123
+0.0971311
+0.0979775
+0.0988612
+0.0997689
+0.100716
+0.101702
+0.102725
+0.0877476
+0.0857743
+0.0838119
+0.0818611
+0.0799227
+0.0779977
+0.076087
+0.0741908
+0.0723039
+0.0704345
+0.0685842
+0.0667545
+0.0649471
+0.063164
+0.0614073
+0.0596793
+0.0579826
+0.0563127
+0.0546723
+0.0530716
+0.0515143
+0.0500046
+0.0485468
+0.0471458
+0.0458067
+0.0445351
+0.0433371
+0.0422188
+0.0411867
+0.0402476
+0.0393904
+0.0386324
+0.0379858
+0.0374563
+0.037049
+0.0367679
+0.0366159
+0.0365947
+0.0367045
+0.0369441
+0.037311
+0.0377965
+0.0383817
+0.0390811
+0.0398887
+0.0407981
+0.0418027
+0.0428956
+0.0440705
+0.0453208
+0.0466405
+0.048024
+0.0494658
+0.0509611
+0.0525052
+0.0540939
+0.0557235
+0.0573904
+0.0590916
+0.060824
+0.0625078
+0.0641531
+0.0658266
+0.0674375
+0.0689039
+0.0704078
+0.071947
+0.0735083
+0.0751003
+0.0767218
+0.0783711
+0.0800417
+0.0816632
+0.0833095
+0.0849803
+0.0866742
+0.0879383
+0.0880224
+0.0881608
+0.0883534
+0.0885997
+0.0888853
+0.089217
+0.0895982
+0.0900236
+0.0905
+0.0910267
+0.0915963
+0.0922109
+0.0928732
+0.093582
+0.0943364
+0.0951352
+0.0959738
+0.0968189
+0.0976965
+0.098615
+0.0995732
+0.10057
+0.101604
+0.086839
+0.0848472
+0.0828628
+0.0808891
+0.0789268
+0.0769769
+0.0750402
+0.0731179
+0.0712111
+0.0693157
+0.0674346
+0.0655729
+0.063732
+0.0619139
+0.0601206
+0.0583545
+0.0566181
+0.0549142
+0.0532408
+0.0515957
+0.0499925
+0.0484354
+0.0469289
+0.045478
+0.0440883
+0.0427657
+0.0415166
+0.0403479
+0.0392667
+0.0382804
+0.0373897
+0.0365902
+0.0359068
+0.0353462
+0.0349143
+0.0346159
+0.0344545
+0.0344319
+0.0345486
+0.034803
+0.0351922
+0.0357043
+0.0363233
+0.0370616
+0.0379122
+0.0388679
+0.039921
+0.0410641
+0.0422898
+0.0435913
+0.0449618
+0.0463954
+0.0478863
+0.0494293
+0.0510198
+0.0526533
+0.0543262
+0.0560347
+0.0577758
+0.0594986
+0.0611463
+0.0628221
+0.0644861
+0.0659453
+0.067444
+0.0689798
+0.0705433
+0.0721342
+0.0737559
+0.0754063
+0.0770837
+0.0787064
+0.0803535
+0.082026
+0.0837224
+0.0854413
+0.0866442
+0.0867307
+0.0868712
+0.0870666
+0.0873165
+0.0876149
+0.0879619
+0.0883619
+0.0888002
+0.0892837
+0.089818
+0.0904007
+0.0910235
+0.0916944
+0.0924124
+0.0931764
+0.0939853
+0.0948339
+0.0956796
+0.0965675
+0.0974966
+0.0984657
+0.0994736
+0.100512
+0.0859689
+0.0839595
+0.0819594
+0.0799653
+0.0779798
+0.0760056
+0.0740435
+0.0720946
+0.07016
+0.0682409
+0.0663375
+0.064444
+0.0625699
+0.0607171
+0.0588874
+0.0570832
+0.0553068
+0.0535612
+0.0518494
+0.0501721
+0.0485219
+0.046916
+0.045359
+0.0438562
+0.0424134
+0.0410369
+0.0397335
+0.0385107
+0.0373764
+0.0363389
+0.0354067
+0.0345662
+0.033842
+0.0332466
+0.032787
+0.0324691
+0.0322969
+0.0322729
+0.0323973
+0.0326685
+0.0330828
+0.0336247
+0.0342812
+0.0350625
+0.0359605
+0.0369667
+0.0380724
+0.0392694
+0.0405494
+0.0419049
+0.0433288
+0.0448147
+0.0463564
+0.0479487
+0.0495867
+0.0512659
+0.0529826
+0.0547331
+0.056499
+0.0581486
+0.059827
+0.0615376
+0.0630001
+0.0644929
+0.0660246
+0.0675902
+0.0691796
+0.0708012
+0.0724527
+0.0741322
+0.0757609
+0.0774086
+0.0790827
+0.0807816
+0.0825019
+0.0842388
+0.085251
+0.0853921
+0.085589
+0.0858164
+0.0860683
+0.086366
+0.0867181
+0.0871238
+0.0875824
+0.0880876
+0.0886391
+0.0892337
+0.0898733
+0.0905528
+0.0912798
+0.0920532
+0.0928718
+0.0937217
+0.0945773
+0.0954755
+0.0964151
+0.0973949
+0.0984051
+0.0994533
+0.0851463
+0.083117
+0.0810961
+0.0790843
+0.0770823
+0.0750857
+0.0730989
+0.0711241
+0.0691624
+0.0672148
+0.0652826
+0.0633672
+0.0614641
+0.0595768
+0.057711
+0.0558688
+0.0540526
+0.0522651
+0.0505093
+0.0487888
+0.0471058
+0.0454514
+0.0438424
+0.0422858
+0.0407875
+0.0393541
+0.037993
+0.0367123
+0.0355206
+0.0344272
+0.0334418
+0.0325639
+0.031794
+0.0311595
+0.0306687
+0.0303285
+0.0301441
+0.0301184
+0.0302517
+0.0305419
+0.0309847
+0.0315601
+0.0322587
+0.0330878
+0.0340379
+0.0350992
+0.036262
+0.0375167
+0.0388545
+0.0402671
+0.041747
+0.0432871
+0.0448814
+0.0465242
+0.0482106
+0.0499361
+0.051697
+0.0534895
+0.0551608
+0.056843
+0.0585588
+0.0600703
+0.0615562
+0.0630832
+0.0646455
+0.0662332
+0.0678544
+0.0695069
+0.0711885
+0.072828
+0.0744762
+0.0761518
+0.0778529
+0.0795731
+0.0813135
+0.0830752
+0.0838918
+0.0840352
+0.0842353
+0.0844918
+0.0848041
+0.0851552
+0.0855122
+0.0859236
+0.0863886
+0.0869064
+0.0874751
+0.088085
+0.0887447
+0.0894465
+0.0901861
+0.0909688
+0.0917971
+0.0926479
+0.0935133
+0.0944216
+0.0953701
+0.0963517
+0.0973727
+0.0984319
+0.0843725
+0.0823242
+0.0802834
+0.0782507
+0.0762267
+0.0742122
+0.072208
+0.0702086
+0.0682205
+0.0662452
+0.0642839
+0.0623378
+0.0604085
+0.0584962
+0.056595
+0.0547152
+0.0528593
+0.0510301
+0.0492303
+0.0474634
+0.0457321
+0.0440395
+0.0423849
+0.0407727
+0.0392165
+0.0377235
+0.0363014
+0.0349587
+0.0337051
+0.0325508
+0.0315067
+0.0305841
+0.0297664
+0.0290877
+0.0285613
+0.0281957
+0.0279973
+0.0279695
+0.028113
+0.0284251
+0.0289003
+0.0295138
+0.0302596
+0.031142
+0.0321497
+0.0332713
+0.0344957
+0.0358123
+0.0372115
+0.0386841
+0.0402223
+0.0418186
+0.0434668
+0.045161
+0.0468965
+0.0486687
+0.0504737
+0.0521859
+0.0538719
+0.0555931
+0.0571583
+0.0586361
+0.0601574
+0.0617151
+0.0633005
+0.064921
+0.0665742
+0.0682577
+0.0699094
+0.0715578
+0.0732346
+0.0749371
+0.0766576
+0.0784015
+0.0801673
+0.0819536
+0.0825684
+0.0827141
+0.0829174
+0.0831779
+0.0834952
+0.0838684
+0.084297
+0.0847631
+0.0852345
+0.0857592
+0.0863363
+0.0869648
+0.0876369
+0.0883532
+0.0891084
+0.0899105
+0.0907585
+0.0916139
+0.092489
+0.0934042
+0.0943554
+0.0953475
+0.0963791
+0.0974491
+0.083649
+0.0815825
+0.0795226
+0.07747
+0.0754251
+0.0733886
+0.0713612
+0.0693438
+0.0673368
+0.0653347
+0.0633452
+0.0613694
+0.0594086
+0.0574645
+0.0555378
+0.0536232
+0.0517305
+0.0498607
+0.0480172
+0.0462039
+0.0444239
+0.0426794
+0.0409778
+0.0393233
+0.0377075
+0.0361522
+0.0346656
+0.033257
+0.0319366
+0.0307159
+0.0296072
+0.0286235
+0.0277635
+0.0270346
+0.0264674
+0.0260725
+0.0258577
+0.0258277
+0.025983
+0.0263203
+0.0268329
+0.0274896
+0.0282889
+0.0292308
+0.0303021
+0.0314896
+0.0327806
+0.0341634
+0.0356274
+0.0371629
+0.0387614
+0.0404155
+0.0421186
+0.043865
+0.0456497
+0.0474685
+0.0492262
+0.0509159
+0.0526426
+0.0542669
+0.0557353
+0.0572498
+0.0588019
+0.0603843
+0.0620037
+0.0636573
+0.0653424
+0.0670069
+0.0686551
+0.0703328
+0.072034
+0.073757
+0.0755043
+0.0772742
+0.0790652
+0.0808759
+0.0812825
+0.0814305
+0.081637
+0.0819016
+0.0822238
+0.0826028
+0.0830378
+0.0835174
+0.084051
+0.0846379
+0.0852378
+0.0858743
+0.0865616
+0.0872942
+0.0880622
+0.0888768
+0.0897347
+0.0906211
+0.091501
+0.0924199
+0.0933811
+0.0943834
+0.0954254
+0.096506
+0.0829687
+0.0808889
+0.0788148
+0.0767439
+0.0746791
+0.0726217
+0.0705723
+0.0685317
+0.0665006
+0.06448
+0.0624693
+0.0604649
+0.0584738
+0.0564975
+0.0545376
+0.0525955
+0.0506644
+0.0487553
+0.0468708
+0.045014
+0.0431872
+0.0413907
+0.0396338
+0.0379222
+0.0362621
+0.0346482
+0.0330941
+0.0316156
+0.0302236
+0.0289307
+0.0277507
+0.0266987
+0.0257902
+0.0250049
+0.0243905
+0.0239614
+0.0237275
+0.0236948
+0.023864
+0.0242309
+0.0247866
+0.0254931
+0.0263529
+0.0273616
+0.0285032
+0.0297626
+0.0311253
+0.0325785
+0.0341105
+0.0357113
+0.037372
+0.0390849
+0.0408435
+0.0426422
+0.044476
+0.0462846
+0.0479779
+0.0497101
+0.0513995
+0.0528568
+0.0543633
+0.0559086
+0.0574871
+0.0591047
+0.0607582
+0.0624448
+0.0641227
+0.0657702
+0.0674484
+0.0691476
+0.0708731
+0.0726237
+0.0743976
+0.0761933
+0.0780091
+0.0798437
+0.0800262
+0.0801862
+0.0803959
+0.0806646
+0.0809917
+0.0813764
+0.0818147
+0.082301
+0.0828424
+0.0834378
+0.0840861
+0.084786
+0.0855181
+0.0862639
+0.0870513
+0.087876
+0.0887472
+0.0896634
+0.090549
+0.0914774
+0.0924183
+0.0933613
+0.0943458
+0.0953705
+0.0823377
+0.0802415
+0.0781504
+0.076065
+0.0739856
+0.0719127
+0.0698433
+0.0677805
+0.0657256
+0.0636799
+0.0616441
+0.0596192
+0.0576065
+0.0556001
+0.0536074
+0.0516307
+0.049672
+0.0477233
+0.0457964
+0.0438942
+0.0420201
+0.0401781
+0.0383679
+0.0365971
+0.0348739
+0.033206
+0.0315964
+0.0300443
+0.0285758
+0.0272047
+0.0259464
+0.024818
+0.0238379
+0.0230047
+0.0223354
+0.0218659
+0.0216095
+0.0215735
+0.0217592
+0.0221609
+0.0227673
+0.0235311
+0.02446
+0.0255435
+0.0267628
+0.0281003
+0.0295398
+0.0310672
+0.0326702
+0.0343382
+0.0360621
+0.0378344
+0.0396485
+0.0414972
+0.0433648
+0.0450613
+0.046799
+0.0485439
+0.0500046
+0.0515013
+0.0530385
+0.054612
+0.056227
+0.0578798
+0.0595673
+0.0612594
+0.0629056
+0.0645808
+0.0662804
+0.0680081
+0.0697618
+0.0715396
+0.0733397
+0.0751606
+0.0770008
+0.0786929
+0.0787966
+0.078961
+0.0791857
+0.0794687
+0.0798007
+0.0801912
+0.0806321
+0.0811255
+0.0816746
+0.0822785
+0.0829358
+0.0836454
+0.0844059
+0.0852159
+0.0860591
+0.0869108
+0.0877988
+0.0885952
+0.0894281
+0.090301
+0.0912133
+0.0921687
+0.0931658
+0.0942033
+0.0817605
+0.0796491
+0.0775421
+0.0754398
+0.0733427
+0.0712512
+0.0691659
+0.0670867
+0.0650099
+0.0629409
+0.0608804
+0.0588292
+0.0567886
+0.0547595
+0.0527433
+0.0507416
+0.0487473
+0.0467705
+0.0448035
+0.0428572
+0.0409357
+0.0390425
+0.037182
+0.0353582
+0.0335715
+0.0318354
+0.0301585
+0.0285513
+0.0270054
+0.0255501
+0.0242059
+0.0229922
+0.0219307
+0.0210425
+0.0203086
+0.0197911
+0.0195074
+0.0194676
+0.0196731
+0.0201166
+0.0207823
+0.021613
+0.0226209
+0.0237883
+0.0250931
+0.0265149
+0.0280359
+0.0296409
+0.031317
+0.0330533
+0.0348409
+0.0366722
+0.0385356
+0.0404318
+0.0421707
+0.0439134
+0.0456593
+0.0471834
+0.0486683
+0.0501954
+0.0517627
+0.0533739
+0.0550252
+0.056713
+0.0584201
+0.0600642
+0.0617346
+0.0634348
+0.0651643
+0.0669209
+0.0687023
+0.0705068
+0.0723327
+0.0741783
+0.0760423
+0.0775041
+0.0776094
+0.0777763
+0.0780044
+0.0782932
+0.0786419
+0.0790443
+0.0794922
+0.0799927
+0.0805496
+0.0811618
+0.0818281
+0.0825472
+0.0833177
+0.0841382
+0.0850073
+0.0858468
+0.0865954
+0.0873926
+0.0882369
+0.0891212
+0.0900455
+0.0910131
+0.0920227
+0.0929988
+0.0812383
+0.079113
+0.0769913
+0.0748735
+0.0727601
+0.0706514
+0.0685478
+0.0664499
+0.0643578
+0.0622702
+0.0601867
+0.0581112
+0.0560443
+0.0539873
+0.0519412
+0.0499073
+0.0478873
+0.0458829
+0.0438958
+0.0419092
+0.039942
+0.0379994
+0.0360851
+0.0342041
+0.0323621
+0.0305605
+0.0288095
+0.0271225
+0.0255121
+0.0239816
+0.0225441
+0.0212357
+0.0200815
+0.0191097
+0.0183196
+0.0177442
+0.0174272
+0.0173826
+0.0176125
+0.0181065
+0.0188422
+0.0197518
+0.0208498
+0.022111
+0.023509
+0.025021
+0.0266275
+0.0283125
+0.0300627
+0.0318675
+0.0337138
+0.0355972
+0.037514
+0.0393116
+0.0410588
+0.0428047
+0.0443991
+0.0458696
+0.0473843
+0.0489436
+0.0505497
+0.0521984
+0.0538857
+0.0556017
+0.0572406
+0.0589139
+0.0606141
+0.0623449
+0.0641038
+0.0658886
+0.0676972
+0.0695278
+0.0713787
+0.0732484
+0.0751354
+0.0763597
+0.0764666
+0.0766359
+0.0768674
+0.0771604
+0.0775143
+0.0779225
+0.0783836
+0.0789028
+0.079469
+0.0800895
+0.0807646
+0.0814931
+0.0822735
+0.0830619
+0.0838536
+0.0846575
+0.0854209
+0.0862234
+0.0870683
+0.0879529
+0.0888787
+0.0898468
+0.0908056
+0.0916882
+0.0807722
+0.0786342
+0.0764993
+0.0743675
+0.0722393
+0.0701149
+0.0679948
+0.0658792
+0.0637684
+0.0616623
+0.059562
+0.0574677
+0.0553768
+0.053294
+0.0512202
+0.0491565
+0.0471043
+0.0450652
+0.0430409
+0.0410337
+0.0390461
+0.0370566
+0.0350909
+0.0331535
+0.0312496
+0.0293857
+0.0275688
+0.0258008
+0.0241023
+0.0224891
+0.0209796
+0.0195668
+0.0183078
+0.0172362
+0.0163821
+0.0157361
+0.0153777
+0.0153272
+0.0155874
+0.0161435
+0.0169621
+0.0179651
+0.0191657
+0.0205306
+0.0220291
+0.0236359
+0.0253305
+0.0270962
+0.0289179
+0.0307829
+0.0326884
+0.0346276
+0.0364914
+0.0382421
+0.0399813
+0.0416592
+0.0431118
+0.0446113
+0.0461603
+0.0477595
+0.0494042
+0.0510898
+0.0528082
+0.0544431
+0.0561158
+0.0578217
+0.0595531
+0.0613138
+0.0631015
+0.0649138
+0.0667489
+0.0686048
+0.07048
+0.0723728
+0.0742821
+0.0752602
+0.0753686
+0.0755405
+0.0757752
+0.0760724
+0.0764313
+0.0768468
+0.0773143
+0.0778406
+0.0784247
+0.0790633
+0.0797472
+0.0804537
+0.0811526
+0.0819032
+0.0826723
+0.0834676
+0.0842262
+0.0850345
+0.0858883
+0.0867703
+0.0876983
+0.0886626
+0.0895122
+0.0904069
+0.0803631
+0.078214
+0.0760672
+0.073923
+0.0717816
+0.0696433
+0.0675083
+0.065377
+0.0632494
+0.0611254
+0.059006
+0.056892
+0.054784
+0.0526827
+0.0505839
+0.0484932
+0.0464116
+0.0443406
+0.0422817
+0.0402367
+0.0382078
+0.0361978
+0.0342083
+0.0322179
+0.0302551
+0.0283258
+0.0264373
+0.0245989
+0.022816
+0.0211047
+0.0194896
+0.017996
+0.0166205
+0.0154322
+0.0144798
+0.0137837
+0.0133731
+0.0133149
+0.0136137
+0.014247
+0.0151562
+0.0162757
+0.017592
+0.0190698
+0.0206745
+0.0223788
+0.0241616
+0.0260001
+0.0278882
+0.0298177
+0.0317811
+0.0337094
+0.0354673
+0.0372016
+0.038973
+0.0404029
+0.0418822
+0.0434196
+0.0450096
+0.0466483
+0.0483308
+0.0500506
+0.0516798
+0.0533493
+0.0550553
+0.0567931
+0.0585548
+0.0603447
+0.0621602
+0.0639993
+0.0658598
+0.0677401
+0.0696385
+0.0715537
+0.0734842
+0.074121
+0.0742686
+0.0744804
+0.0747207
+0.075022
+0.0753859
+0.0758113
+0.0762929
+0.0768263
+0.0774179
+0.0780564
+0.0786538
+0.0792729
+0.0799473
+0.0806756
+0.0814563
+0.0822879
+0.0830665
+0.0838673
+0.0847138
+0.085588
+0.0864964
+0.0873918
+0.0882537
+0.089161
+0.0800044
+0.0778474
+0.0756923
+0.0735393
+0.071388
+0.0692377
+0.0670898
+0.0649448
+0.0628026
+0.060663
+0.0585268
+0.0563948
+0.0542675
+0.0521454
+0.0500293
+0.0479198
+0.0458133
+0.043714
+0.0416241
+0.0395451
+0.0374788
+0.0354274
+0.0333938
+0.0313813
+0.0293905
+0.0274004
+0.0254433
+0.0235274
+0.0216636
+0.0198658
+0.0181408
+0.0165265
+0.0150564
+0.0137345
+0.0126549
+0.0118851
+0.0114369
+0.0113688
+0.0117174
+0.0124475
+0.0134467
+0.0146976
+0.0161432
+0.0177421
+0.0194566
+0.0212588
+0.0231279
+0.0250422
+0.0269973
+0.0289862
+0.0309442
+0.0327128
+0.0344763
+0.036258
+0.0377523
+0.0392075
+0.0407285
+0.0423078
+0.0439381
+0.0456153
+0.0473345
+0.0489567
+0.0506212
+0.0523244
+0.0540628
+0.0558314
+0.0576226
+0.0594405
+0.0612829
+0.0631475
+0.0650324
+0.0669359
+0.0688565
+0.0707928
+0.0727436
+0.0730191
+0.0731689
+0.0733839
+0.0736634
+0.0740067
+0.0743903
+0.0748214
+0.0753111
+0.0758212
+0.076323
+0.0768574
+0.077429
+0.078058
+0.0787429
+0.0794823
+0.0802746
+0.0810881
+0.0818233
+0.0826101
+0.0834289
+0.0842927
+0.0852037
+0.0861505
+0.0870246
+0.0879419
+0.0797002
+0.0775347
+0.0753707
+0.0732083
+0.0710475
+0.0688887
+0.066732
+0.0645775
+0.0624256
+0.0602764
+0.0581263
+0.055979
+0.0538353
+0.0516955
+0.0495601
+0.0474298
+0.0453053
+0.0431873
+0.0410729
+0.0389645
+0.0368657
+0.0347782
+0.0327042
+0.0306465
+0.0286085
+0.0265948
+0.0246047
+0.0226179
+0.0206723
+0.0187807
+0.0169613
+0.0152305
+0.0136236
+0.0121948
+0.0109648
+0.0100666
+0.0095867
+0.00950579
+0.00991998
+0.0107652
+0.0118961
+0.0132937
+0.0148763
+0.0165977
+0.0184191
+0.0203135
+0.0222621
+0.0242449
+0.0262595
+0.0282483
+0.0300166
+0.0318161
+0.033599
+0.0351731
+0.0365997
+0.0380988
+0.0396623
+0.0412825
+0.0429517
+0.044666
+0.0462808
+0.047938
+0.0496367
+0.0513725
+0.0531421
+0.0549404
+0.0567597
+0.0586044
+0.0604722
+0.062361
+0.064269
+0.0661945
+0.0681341
+0.0700758
+0.0718791
+0.0719646
+0.0721166
+0.0723346
+0.0726182
+0.0729664
+0.0733784
+0.0737548
+0.0741538
+0.0746151
+0.0751161
+0.0756382
+0.0762189
+0.0768576
+0.077553
+0.0783036
+0.0791077
+0.079817
+0.0805418
+0.0813182
+0.0821457
+0.0830227
+0.0839401
+0.0849008
+0.0858278
+0.0867499
+0.0794528
+0.0772829
+0.0751116
+0.0729415
+0.0707727
+0.0686052
+0.0664392
+0.064275
+0.0621126
+0.0599522
+0.0577941
+0.0556386
+0.0534859
+0.0513352
+0.0491842
+0.0470368
+0.0448937
+0.0427553
+0.0406226
+0.0384963
+0.0363744
+0.034257
+0.0321494
+0.0300537
+0.0279726
+0.0259095
+0.0238692
+0.021852
+0.01986
+0.017898
+0.0159784
+0.0141379
+0.0124103
+0.0108295
+0.00946576
+0.0084089
+0.00783689
+0.00778852
+0.00828897
+0.00928384
+0.0105744
+0.0121254
+0.0138422
+0.0156775
+0.0175944
+0.0195688
+0.0215848
+0.0236244
+0.0256433
+0.0274055
+0.0292016
+0.0310166
+0.0326841
+0.034074
+0.0355447
+0.0370865
+0.038691
+0.0403501
+0.0420564
+0.0436607
+0.0453079
+0.0469995
+0.0487308
+0.0504979
+0.0522919
+0.0541121
+0.0559588
+0.0578296
+0.0597221
+0.0616344
+0.0635583
+0.0654891
+0.0674357
+0.0692434
+0.0708645
+0.0709512
+0.0711054
+0.0713265
+0.071614
+0.0719163
+0.0722078
+0.0725493
+0.0729549
+0.0734237
+0.0739205
+0.0744514
+0.0750413
+0.07569
+0.076396
+0.0771578
+0.077856
+0.0785368
+0.0792723
+0.080061
+0.0809014
+0.0817869
+0.0827147
+0.0836895
+0.0846624
+0.0855728
+0.0792442
+0.0770706
+0.074898
+0.0727265
+0.0705561
+0.0683871
+0.0662177
+0.064046
+0.0618756
+0.0597066
+0.0575393
+0.0553739
+0.0532105
+0.0510494
+0.048891
+0.0467356
+0.0445836
+0.0424322
+0.0402823
+0.0381371
+0.0359974
+0.0338642
+0.0317364
+0.0296115
+0.0274969
+0.0253953
+0.02331
+0.0212459
+0.0192027
+0.0171829
+0.0152105
+0.0132724
+0.011416
+0.00970002
+0.00819071
+0.00697839
+0.00627734
+0.00630162
+0.00691628
+0.00808541
+0.00955671
+0.0112576
+0.0130888
+0.0150165
+0.017008
+0.0190433
+0.0210892
+0.0231601
+0.0249056
+0.0266907
+0.0285298
+0.0303076
+0.0316502
+0.0330836
+0.0345964
+0.0361787
+0.0378217
+0.0395173
+0.0411021
+0.0427386
+0.0444218
+0.0461459
+0.0479012
+0.0496891
+0.0515081
+0.053355
+0.0552271
+0.0571218
+0.0590343
+0.0609509
+0.0628854
+0.0645193
+0.0661548
+0.0678216
+0.0695175
+0.0699917
+0.070148
+0.0702654
+0.0704385
+0.0706792
+0.0709867
+0.0713602
+0.0717985
+0.0722792
+0.072771
+0.0733102
+0.0739092
+0.0745678
+0.0752843
+0.0759683
+0.0766033
+0.0772951
+0.0780423
+0.0788433
+0.079696
+0.0805883
+0.0815297
+0.0825186
+0.0834145
+0.0843188
+0.0790958
+0.076918
+0.074741
+0.0725647
+0.0703894
+0.068215
+0.0660418
+0.0638697
+0.0616989
+0.0595296
+0.0573617
+0.0551942
+0.0530242
+0.0508553
+0.0486882
+0.0465234
+0.0443612
+0.0422018
+0.0400459
+0.0378939
+0.0357467
+0.0335984
+0.0314551
+0.0293188
+0.02719
+0.0250626
+0.0229471
+0.0208471
+0.0187679
+0.0167086
+0.0146725
+0.012688
+0.0107753
+0.00893714
+0.00727116
+0.00595406
+0.00513655
+0.00516619
+0.00592077
+0.00725944
+0.00888653
+0.0106966
+0.0126095
+0.0146006
+0.0166416
+0.0187061
+0.0207931
+0.0225319
+0.024315
+0.0261404
+0.0279494
+0.0293536
+0.030738
+0.032212
+0.0337638
+0.0353833
+0.0370405
+0.0386006
+0.0402196
+0.0418906
+0.0436076
+0.0453639
+0.0471462
+0.0489616
+0.0508066
+0.0526782
+0.0545699
+0.056473
+0.0582572
+0.0598233
+0.0614275
+0.0630671
+0.0647393
+0.0664416
+0.0681718
+0.0688618
+0.0689026
+0.0690099
+0.0691863
+0.0694316
+0.0697447
+0.070125
+0.0705712
+0.0710822
+0.0716166
+0.0721889
+0.0728172
+0.0734858
+0.0741545
+0.0747407
+0.075386
+0.0760889
+0.0768478
+0.0776611
+0.0785267
+0.0794321
+0.080387
+0.0813084
+0.0821778
+0.0830946
+0.0790079
+0.0768276
+0.0746479
+0.0724689
+0.0702906
+0.0681131
+0.0659364
+0.0637608
+0.0615862
+0.0594128
+0.0572404
+0.0550682
+0.0528969
+0.0507274
+0.0485597
+0.0463942
+0.0442311
+0.0420709
+0.0399141
+0.0377593
+0.0356039
+0.0334531
+0.0313079
+0.0291675
+0.0270301
+0.0249017
+0.0227851
+0.020674
+0.0185755
+0.0165009
+0.0144501
+0.0124302
+0.0104791
+0.00862278
+0.00690421
+0.00553012
+0.00466524
+0.00469785
+0.00554034
+0.0069436
+0.00867266
+0.0104994
+0.0124426
+0.0144568
+0.0165064
+0.0185822
+0.0203515
+0.0220955
+0.0239112
+0.0256918
+0.0271928
+0.0285362
+0.0299584
+0.0314689
+0.0330557
+0.0346614
+0.0361915
+0.0377867
+0.0394391
+0.0411419
+0.0428889
+0.0446734
+0.0464822
+0.0483193
+0.0501816
+0.0520695
+0.0536393
+0.0551625
+0.0567294
+0.0583364
+0.0599805
+0.0616585
+0.0633679
+0.0651061
+0.0668349
+0.0676141
+0.0676589
+0.0677681
+0.0679478
+0.0681975
+0.0685163
+0.0689033
+0.0693574
+0.0698773
+0.0704472
+0.0710289
+0.0716729
+0.0723775
+0.0729622
+0.0735579
+0.0742134
+0.0749273
+0.0756979
+0.0765235
+0.0774009
+0.0783194
+0.0792628
+0.0800945
+0.0809665
+0.0818827
+0.0788504
+0.0766892
+0.0745298
+0.0723722
+0.0702167
+0.0680635
+0.0659005
+0.0637237
+0.061548
+0.0593733
+0.0571998
+0.0550275
+0.0528558
+0.0506849
+0.0485154
+0.0463478
+0.0441825
+0.0420198
+0.0398602
+0.0377041
+0.0355523
+0.0334056
+0.0312649
+0.0291317
+0.0270011
+0.0248797
+0.0227713
+0.0206696
+0.0185876
+0.016532
+0.0144941
+0.0124931
+0.0105555
+0.00873832
+0.00712664
+0.00580543
+0.00502214
+0.00505246
+0.00588995
+0.0072346
+0.00891778
+0.0107312
+0.0126411
+0.0146279
+0.0166565
+0.0184357
+0.0201074
+0.0218686
+0.0236006
+0.0252201
+0.0264902
+0.0278675
+0.0293222
+0.0308638
+0.0324042
+0.0338946
+0.0354578
+0.0370846
+0.0387669
+0.0404979
+0.0422716
+0.0440712
+0.0458967
+0.0476603
+0.0490758
+0.0505466
+0.0520681
+0.0536359
+0.0552461
+0.0568951
+0.0585796
+0.0602966
+0.0620435
+0.0637597
+0.0654899
+0.0663626
+0.0664157
+0.066541
+0.0667379
+0.0670059
+0.0673367
+0.0677305
+0.0681924
+0.0687211
+0.0693069
+0.0699001
+0.0705565
+0.0712702
+0.0718169
+0.072422
+0.0730877
+0.0738125
+0.0745946
+0.0754309
+0.0763102
+0.0772415
+0.0780676
+0.0789
+0.0797823
+0.080703
+0.0787308
+0.0765663
+0.0744033
+0.072242
+0.0700825
+0.067925
+0.0657697
+0.0636168
+0.0614665
+0.0593193
+0.0571753
+0.055035
+0.0528897
+0.0507223
+0.048557
+0.046394
+0.0442338
+0.0420767
+0.0399232
+0.0377731
+0.0356266
+0.0334848
+0.0313495
+0.0292225
+0.0271056
+0.0250014
+0.0229135
+0.0208466
+0.0188029
+0.0167893
+0.0148016
+0.0128631
+0.0110194
+0.009327
+0.00785383
+0.00668235
+0.00609689
+0.00612748
+0.00688263
+0.00807809
+0.00960448
+0.0113083
+0.013157
+0.0150975
+0.0168616
+0.0184162
+0.0200767
+0.0217345
+0.0234764
+0.0246563
+0.025954
+0.0273584
+0.0288387
+0.0302959
+0.0317342
+0.0332547
+0.0348466
+0.0365006
+0.0382087
+0.0399639
+0.041747
+0.0431816
+0.0445835
+0.0459893
+0.0474547
+0.0489742
+0.050543
+0.0521567
+0.0538112
+0.0555028
+0.0572283
+0.0589783
+0.0606867
+0.0624252
+0.0641914
+0.0651607
+0.0652148
+0.0653424
+0.0655429
+0.0658158
+0.0661601
+0.0665748
+0.0670586
+0.0676098
+0.0681705
+0.0687736
+0.0694406
+0.0701657
+0.0707209
+0.0713353
+0.0720111
+0.0727466
+0.0735386
+0.0743758
+0.0752673
+0.0760922
+0.0769028
+0.0777475
+0.0786245
+0.079525
+0.0786721
+0.0765059
+0.0743411
+0.072178
+0.0700165
+0.0678569
+0.0656994
+0.0635441
+0.0613913
+0.0592413
+0.0570944
+0.054951
+0.0528115
+0.0506763
+0.048546
+0.0464214
+0.0443033
+0.0421915
+0.0400831
+0.0379464
+0.0358126
+0.0336862
+0.0315685
+0.0294615
+0.0273677
+0.0252903
+0.0232328
+0.0212
+0.0191998
+0.0172448
+0.0153535
+0.0135365
+0.01181
+0.0102569
+0.00896801
+0.00798531
+0.00750504
+0.00762245
+0.00824654
+0.0093084
+0.0106754
+0.0122554
+0.0139794
+0.0156808
+0.0170815
+0.0186178
+0.02017
+0.0218207
+0.0230941
+0.0242778
+0.0255947
+0.0270177
+0.0283699
+0.02974
+0.0312039
+0.032749
+0.0343644
+0.0360405
+0.0375307
+0.0388007
+0.0401429
+0.0415098
+0.0429045
+0.0443636
+0.0458809
+0.0474508
+0.0490684
+0.050729
+0.0524285
+0.0541634
+0.0559001
+0.0576164
+0.059364
+0.0611402
+0.0629424
+0.0639768
+0.0640464
+0.0641907
+0.0644003
+0.064678
+0.0650284
+0.0654502
+0.0659253
+0.0664582
+0.0670575
+0.0676992
+0.0683767
+0.0691061
+0.0696766
+0.0703001
+0.0709857
+0.0717303
+0.0725222
+0.0733709
+0.0741638
+0.0749
+0.0756798
+0.0765145
+0.0773963
+0.0783109
+0.0786743
+0.0765082
+0.0743435
+0.0721804
+0.070019
+0.0678595
+0.0657021
+0.0635469
+0.0613942
+0.0592443
+0.0570976
+0.0549543
+0.0528148
+0.0506798
+0.0485497
+0.0464253
+0.0443073
+0.0421957
+0.0400876
+0.0379885
+0.0359003
+0.0338252
+0.0317655
+0.0297246
+0.0277066
+0.0257168
+0.0237158
+0.0217312
+0.0197901
+0.0179066
+0.0160826
+0.0143506
+0.0127604
+0.0113717
+0.0102556
+0.00948671
+0.0091517
+0.00926889
+0.00984068
+0.0107821
+0.0119806
+0.0134141
+0.0150099
+0.0162159
+0.0175532
+0.0189357
+0.0204579
+0.0218617
+0.0229001
+0.0240934
+0.0254198
+0.0266653
+0.0279477
+0.0293376
+0.0308206
+0.0323233
+0.0333932
+0.034559
+0.0357923
+0.0371141
+0.0384401
+0.0398218
+0.0412735
+0.0427882
+0.0443595
+0.0459814
+0.0476488
+0.0493572
+0.0511014
+0.0528242
+0.0545493
+0.0563069
+0.0580939
+0.0599077
+0.061746
+0.0627194
+0.0627904
+0.0629376
+0.0631605
+0.0634583
+0.0638174
+0.0642183
+0.0646911
+0.065234
+0.0658453
+0.0665232
+0.0672655
+0.0680657
+0.0686863
+0.0693187
+0.0700125
+0.0707558
+0.0715583
+0.0722654
+0.0729419
+0.0736774
+0.0744701
+0.0753181
+0.0762044
+0.0771332
+0.0787376
+0.0765733
+0.0744105
+0.0722494
+0.0700901
+0.0679328
+0.0657778
+0.0636252
+0.0614752
+0.0593283
+0.0571847
+0.0550448
+0.052909
+0.0507768
+0.0486498
+0.0465287
+0.0444144
+0.0423078
+0.0402097
+0.0381192
+0.0360387
+0.033972
+0.0319218
+0.0298916
+0.0278856
+0.0259097
+0.023971
+0.0220796
+0.0202485
+0.0184958
+0.016846
+0.0153252
+0.0139457
+0.0126832
+0.011698
+0.0110516
+0.0107961
+0.0109353
+0.0114606
+0.0122796
+0.0133425
+0.0146506
+0.0158751
+0.0169619
+0.018144
+0.0194847
+0.0208709
+0.021866
+0.0229042
+0.0240973
+0.0251939
+0.0263821
+0.0276766
+0.0285885
+0.0294859
+0.0305019
+0.0316025
+0.0328007
+0.034091
+0.0353753
+0.0367416
+0.0381848
+0.0396965
+0.0412691
+0.042896
+0.0445712
+0.0462895
+0.0480279
+0.049751
+0.0514859
+0.0532545
+0.0550534
+0.0568798
+0.0587311
+0.0606051
+0.0615144
+0.0615868
+0.0617369
+0.0619641
+0.0622676
+0.0626182
+0.0630268
+0.0635084
+0.0640613
+0.0646838
+0.0653737
+0.0661291
+0.0669477
+0.0677524
+0.0683919
+0.0690832
+0.0698295
+0.0704344
+0.071065
+0.0717406
+0.0724715
+0.0732607
+0.0741063
+0.0749991
+0.0759426
+0.0788586
+0.0766969
+0.0745369
+0.0723788
+0.0702227
+0.0680688
+0.0659174
+0.0637686
+0.0616227
+0.0594802
+0.0573412
+0.0552063
+0.053076
+0.0509508
+0.0488314
+0.0467185
+0.0446132
+0.0425164
+0.0404297
+0.0383545
+0.036293
+0.0342474
+0.032221
+0.0302156
+0.0282341
+0.0262843
+0.0243754
+0.0225175
+0.0207144
+0.0189907
+0.0173725
+0.0158921
+0.0145915
+0.0135197
+0.0127168
+0.0122575
+0.012181
+0.0124326
+0.0130395
+0.0138416
+0.0147957
+0.0158293
+0.0168752
+0.0178432
+0.018964
+0.0201393
+0.0212051
+0.0220576
+0.0230872
+0.0240307
+0.0246318
+0.0251977
+0.025883
+0.0266917
+0.0276466
+0.0286759
+0.0298308
+0.0310518
+0.0323168
+0.0336647
+0.0350977
+0.0366057
+0.03818
+0.0398126
+0.0414966
+0.0432261
+0.0449577
+0.0466811
+0.048427
+0.0502077
+0.0520197
+0.0538598
+0.0557254
+0.0576126
+0.0595177
+0.0603254
+0.0604386
+0.0605916
+0.0608231
+0.0611322
+0.0614737
+0.0618899
+0.0623803
+0.0629431
+0.0635765
+0.0642783
+0.0650373
+0.065827
+0.066655
+0.0675114
+0.0681253
+0.0686594
+0.0692316
+0.0698515
+0.070534
+0.0712773
+0.0720796
+0.0729339
+0.0738388
+0.0747969
+0.0790314
+0.0768746
+0.0747198
+0.0725671
+0.0704168
+0.068269
+0.0661241
+0.0639822
+0.0618438
+0.0597091
+0.0575787
+0.055453
+0.0533325
+0.0512179
+0.04911
+0.0470097
+0.044918
+0.0428362
+0.0407658
+0.0387087
+0.036667
+0.0346387
+0.0326305
+0.0306474
+0.0286945
+0.0267785
+0.0249077
+0.0230933
+0.0213496
+0.0196953
+0.018141
+0.0167288
+0.0154893
+0.0144655
+0.013718
+0.0132934
+0.0132229
+0.0134857
+0.0140472
+0.0148602
+0.0158675
+0.0169453
+0.0180304
+0.0189069
+0.0198584
+0.0209732
+0.0216257
+0.0217606
+0.0219018
+0.0222469
+0.0227016
+0.0232757
+0.0239724
+0.0248338
+0.0257893
+0.0268798
+0.0280256
+0.0292667
+0.0305921
+0.0320127
+0.0335164
+0.0350925
+0.0367316
+0.0384258
+0.0401507
+0.0418917
+0.0436153
+0.0453733
+0.0471675
+0.048994
+0.0508493
+0.0527302
+0.05463
+0.0565508
+0.0584905
+0.0590298
+0.0591523
+0.0593554
+0.0596236
+0.0599548
+0.0603019
+0.060726
+0.0612256
+0.0617989
+0.0624438
+0.0631582
+0.0639245
+0.0647279
+0.0655837
+0.0664556
+0.0669807
+0.0674857
+0.0680511
+0.0686816
+0.0693756
+0.0701313
+0.0709439
+0.0718071
+0.072726
+0.0736986
+0.0780603
+0.0771142
+0.0749663
+0.0728209
+0.0706783
+0.0685387
+0.0664025
+0.0642699
+0.0621413
+0.0600173
+0.0578982
+0.0557846
+0.0536772
+0.0515768
+0.0494842
+0.0473984
+0.0453221
+0.0432571
+0.0412034
+0.0391643
+0.0371424
+0.0351408
+0.0331631
+0.0312138
+0.0292987
+0.0274249
+0.0256014
+0.0238396
+0.0221514
+0.0205583
+0.019084
+0.0177447
+0.0165714
+0.0156187
+0.0149291
+0.0145399
+0.0144754
+0.0147065
+0.0152234
+0.016024
+0.0169901
+0.0181443
+0.0192705
+0.0200212
+0.0203072
+0.0198917
+0.0196898
+0.0197305
+0.0199441
+0.0203224
+0.0207944
+0.0213564
+0.0220974
+0.022958
+0.0239363
+0.025017
+0.0262269
+0.0275252
+0.0289305
+0.0304288
+0.032007
+0.0336538
+0.0353598
+0.0370755
+0.0388253
+0.0405543
+0.0423261
+0.0441355
+0.045978
+0.04785
+0.0497444
+0.051661
+0.0535986
+0.0555551
+0.0575284
+0.0577837
+0.0579133
+0.0581208
+0.0584098
+0.0587258
+0.0590803
+0.0595132
+0.0600229
+0.0606076
+0.061265
+0.061993
+0.0627889
+0.0636504
+0.0645658
+0.06539
+0.0658395
+0.0663465
+0.0669214
+0.0675625
+0.0682679
+0.0690354
+0.0698537
+0.0707302
+0.0716538
+0.072628
+0.0767196
+0.0757949
+0.074923
+0.0730933
+0.0709573
+0.0688247
+0.0666959
+0.0645713
+0.0624512
+0.0603362
+0.0582267
+0.0561235
+0.0540272
+0.0519388
+0.0498591
+0.0477893
+0.0457308
+0.0436851
+0.0416542
+0.0396403
+0.0376462
+0.0356751
+0.0337312
+0.0318193
+0.0299456
+0.0281178
+0.0263455
+0.0246375
+0.0229949
+0.0214504
+0.0200269
+0.0187518
+0.0176574
+0.016767
+0.0161266
+0.015767
+0.0157075
+0.01591
+0.016389
+0.0171333
+0.0181097
+0.0192175
+0.0195754
+0.0188439
+0.018312
+0.0179003
+0.0176756
+0.0176838
+0.0178943
+0.0183212
+0.0188722
+0.0194698
+0.0201868
+0.0210373
+0.0220331
+0.0231918
+0.0244662
+0.0258522
+0.0273436
+0.0289242
+0.0305801
+0.0322841
+0.0340044
+0.0357569
+0.0374994
+0.0392868
+0.0411132
+0.0429737
+0.0448617
+0.0467731
+0.0487081
+0.050664
+0.0526383
+0.0546291
+0.0565236
+0.0565832
+0.0567113
+0.0568906
+0.0571533
+0.0574984
+0.0579074
+0.0583489
+0.0588686
+0.0594645
+0.0601344
+0.0608758
+0.0616861
+0.0625627
+0.0635028
+0.0642734
+0.0647221
+0.0652414
+0.0658295
+0.0664767
+0.0671831
+0.0679529
+0.0687838
+0.0696737
+0.0706083
+0.0715967
+0.0754186
+0.0744778
+0.0735903
+0.0727568
+0.0712864
+0.0691639
+0.0670459
+0.0649327
+0.0628248
+0.0607228
+0.0586273
+0.056539
+0.0544587
+0.0523874
+0.0503263
+0.0482765
+0.0462397
+0.0442176
+0.0422123
+0.0402264
+0.0382628
+0.0363253
+0.034418
+0.0325465
+0.0307173
+0.0289284
+0.0271955
+0.025533
+0.0239523
+0.0224738
+0.0211194
+0.0199079
+0.0188696
+0.0180387
+0.017445
+0.0171131
+0.0170584
+0.0172458
+0.0176887
+0.0183837
+0.0193036
+0.0187011
+0.0177124
+0.0169171
+0.016325
+0.0159417
+0.0156701
+0.0156311
+0.0158577
+0.0162938
+0.0167824
+0.0174465
+0.0181951
+0.0190858
+0.020176
+0.0214184
+0.0227792
+0.0242617
+0.0258451
+0.0275119
+0.0292021
+0.0309387
+0.0326942
+0.0344523
+0.0362575
+0.0381032
+0.0399828
+0.0418877
+0.0438194
+0.0457744
+0.0477499
+0.0497434
+0.0517529
+0.0537538
+0.0553441
+0.0553714
+0.0554852
+0.0556736
+0.0559421
+0.0562946
+0.0567295
+0.0572283
+0.0577581
+0.0583654
+0.0590477
+0.0598026
+0.0606273
+0.0615189
+0.0624747
+0.0631708
+0.0636551
+0.064183
+0.0647726
+0.0654241
+0.0661418
+0.0669235
+0.0677665
+0.0686318
+0.0695553
+0.0705325
+0.0741596
+0.0732026
+0.0722994
+0.0713298
+0.070366
+0.0694579
+0.0674653
+0.0653656
+0.0632722
+0.0611855
+0.0591064
+0.0570356
+0.0549741
+0.0529231
+0.0508836
+0.0488573
+0.0468457
+0.0448505
+0.0428744
+0.0409202
+0.0389846
+0.037075
+0.035198
+0.0333594
+0.0315658
+0.0298252
+0.0281475
+0.0265448
+0.0250313
+0.0236242
+0.0223356
+0.02119
+0.0202176
+0.0194444
+0.018895
+0.018589
+0.0185186
+0.0186766
+0.0190863
+0.0196996
+0.0182748
+0.0170036
+0.0159186
+0.0150422
+0.0143685
+0.013872
+0.0135663
+0.0135532
+0.0138267
+0.0141819
+0.0147219
+0.0154115
+0.0161948
+0.0171894
+0.0183875
+0.019714
+0.0211845
+0.0227712
+0.024438
+0.026124
+0.0278802
+0.0296388
+0.0314151
+0.0332409
+0.0351085
+0.0370058
+0.0389332
+0.0408871
+0.0428639
+0.0448606
+0.0468746
+0.0488752
+0.0508751
+0.05289
+0.0541426
+0.0541834
+0.0542985
+0.0545015
+0.0547914
+0.0551516
+0.0555955
+0.0561214
+0.0567105
+0.0573289
+0.0580234
+0.0587914
+0.0596301
+0.0605312
+0.061303
+0.0619749
+0.0626259
+0.0631745
+0.0637671
+0.0644288
+0.0651225
+0.0658769
+0.0666948
+0.0675738
+0.0685095
+0.0695011
+0.0729446
+0.0719715
+0.0709627
+0.0699309
+0.0689477
+0.0680209
+0.0671528
+0.0658569
+0.0637793
+0.0617095
+0.0596483
+0.0575967
+0.0555558
+0.0535266
+0.0515108
+0.0495097
+0.0475254
+0.0455568
+0.0436048
+0.0416766
+0.0397755
+0.0379057
+0.036072
+0.0342803
+0.0325375
+0.0308518
+0.0292331
+0.0276932
+0.0262435
+0.024893
+0.0236686
+0.0225907
+0.0216813
+0.0209622
+0.0204535
+0.0201613
+0.0200687
+0.0202145
+0.0199008
+0.0183228
+0.0168068
+0.015415
+0.0142245
+0.0132578
+0.0124121
+0.0118456
+0.0114952
+0.011475
+0.011767
+0.0120777
+0.0126861
+0.0133967
+0.0142505
+0.0153708
+0.0166611
+0.0181145
+0.0197048
+0.0213474
+0.0230512
+0.0248315
+0.0265932
+0.0283911
+0.0302408
+0.0321289
+0.0340505
+0.0360028
+0.0379811
+0.0399815
+0.042001
+0.0440012
+0.0460042
+0.0480237
+0.0500575
+0.0521041
+0.0529385
+0.0529753
+0.0530943
+0.0533032
+0.0535988
+0.0539666
+0.0544201
+0.0549573
+0.0555758
+0.0562727
+0.0570057
+0.0578027
+0.0585788
+0.0594099
+0.0601582
+0.0608344
+0.0615632
+0.0621234
+0.0627354
+0.0633639
+0.0640612
+0.0648251
+0.0656532
+0.0665432
+0.0674925
+0.0684417
+0.071776
+0.0707079
+0.0696128
+0.0685704
+0.0675704
+0.0666244
+0.0657379
+0.0649131
+0.0641495
+0.0621528
+0.0601083
+0.0580745
+0.0560524
+0.0540435
+0.0520493
+0.050068
+0.0481041
+0.0461607
+0.0442404
+0.0423464
+0.0404823
+0.0386525
+0.0368621
+0.0351171
+0.0334246
+0.031793
+0.0302322
+0.0287455
+0.0273431
+0.0260497
+0.0248823
+0.0238593
+0.0230001
+0.0222902
+0.0217701
+0.021462
+0.021375
+0.0205232
+0.0187426
+0.0170578
+0.0154824
+0.0139592
+0.0126338
+0.0114741
+0.010527
+0.00984815
+0.00943536
+0.00942036
+0.00964884
+0.0100077
+0.010636
+0.0113963
+0.0123869
+0.0136214
+0.0150495
+0.0166418
+0.0182592
+0.0199862
+0.0217966
+0.0235614
+0.0253849
+0.0272598
+0.0291731
+0.0311229
+0.0331029
+0.0351079
+0.0371339
+0.0391332
+0.04114
+0.0431646
+0.0452048
+0.0472584
+0.0493238
+0.0513996
+0.0517006
+0.0517487
+0.0518705
+0.0520842
+0.0523888
+0.0527801
+0.0532435
+0.0537922
+0.0544236
+0.0551348
+0.0558689
+0.0566497
+0.0575028
+0.0583493
+0.0590648
+0.0597524
+0.0605053
+0.0610452
+0.061642
+0.0622865
+0.0629957
+0.0637724
+0.064614
+0.065518
+0.0663189
+0.0671094
+0.0705882
+0.0694222
+0.0683066
+0.0672439
+0.0662267
+0.0652627
+0.0643588
+0.0635177
+0.0627418
+0.0620271
+0.0605365
+0.0585139
+0.0565039
+0.0545079
+0.0525273
+0.0505641
+0.0486203
+0.0466984
+0.0448012
+0.0429319
+0.0410943
+0.0392931
+0.0375332
+0.0358151
+0.0341419
+0.0325302
+0.0309896
+0.0295312
+0.0281679
+0.0269141
+0.0257858
+0.0247798
+0.0239158
+0.0232269
+0.0227291
+0.0224351
+0.0214366
+0.0195642
+0.0177395
+0.0159916
+0.0142455
+0.0125974
+0.0111378
+0.00980335
+0.00872609
+0.0078873
+0.00736562
+0.00738868
+0.00757206
+0.00799198
+0.00864858
+0.00947023
+0.0106064
+0.0119935
+0.0135437
+0.0151751
+0.0169332
+0.0187675
+0.0205494
+0.0224034
+0.0243041
+0.02625
+0.0282318
+0.0302424
+0.0322764
+0.0342739
+0.0362849
+0.0383156
+0.0403631
+0.0424248
+0.0444989
+0.0465837
+0.048324
+0.0499167
+0.0504864
+0.0505164
+0.0506411
+0.05086
+0.0511719
+0.0515749
+0.0520672
+0.0526344
+0.0532798
+0.0539888
+0.0547087
+0.0555058
+0.0563767
+0.0573183
+0.0580326
+0.0587323
+0.0594139
+0.0599636
+0.0605877
+0.0612629
+0.0619839
+0.062773
+0.0635976
+0.0642754
+0.065017
+0.0658231
+0.0693696
+0.0681827
+0.0670465
+0.0659635
+0.0649254
+0.0639417
+0.0630189
+0.0621596
+0.0613666
+0.0606423
+0.0599893
+0.0590199
+0.0570281
+0.0550512
+0.0530909
+0.0511493
+0.0492286
+0.0473314
+0.0454524
+0.0435991
+0.0417784
+0.0399948
+0.0382535
+0.0365607
+0.0349232
+0.0333492
+0.0318483
+0.0304312
+0.02911
+0.0278986
+0.0267913
+0.0258089
+0.0249806
+0.0242391
+0.0236441
+0.0226422
+0.020646
+0.0186935
+0.0167801
+0.0149369
+0.0132004
+0.011444
+0.00975853
+0.00823598
+0.00703114
+0.00604104
+0.00539228
+0.00548039
+0.00556507
+0.00590666
+0.00669137
+0.00764299
+0.00896658
+0.0104456
+0.0120982
+0.0138943
+0.0157437
+0.0175592
+0.0194496
+0.0213888
+0.0233721
+0.0253895
+0.0274335
+0.0294277
+0.0314434
+0.0334811
+0.0355369
+0.0376081
+0.039692
+0.0417869
+0.0436837
+0.0452275
+0.046823
+0.0484651
+0.0493157
+0.0493464
+0.0494741
+0.0496981
+0.0500172
+0.0504295
+0.0509328
+0.0515126
+0.0521719
+0.0528715
+0.0536066
+0.0544199
+0.0553029
+0.0562459
+0.0570658
+0.0577773
+0.0583695
+0.058929
+0.0595639
+0.0602717
+0.0610202
+0.0616909
+0.062319
+0.0630074
+0.0637637
+0.0645855
+0.0681995
+0.066992
+0.0658351
+0.0647316
+0.0636728
+0.0626695
+0.0617277
+0.0608502
+0.0600398
+0.0592993
+0.0586314
+0.0580385
+0.0575147
+0.055656
+0.0537153
+0.0517901
+0.0498836
+0.0480013
+0.0461463
+0.044322
+0.0425322
+0.0407817
+0.0390755
+0.0374198
+0.0358216
+0.0342889
+0.032831
+0.0314539
+0.0301002
+0.0288422
+0.0276986
+0.026672
+0.0257626
+0.0250125
+0.0241479
+0.0220707
+0.0200176
+0.0179971
+0.0160213
+0.0141091
+0.0122171
+0.0103823
+0.00867631
+0.0069185
+0.00545926
+0.00428061
+0.0034848
+0.00336268
+0.00346808
+0.00393685
+0.00479334
+0.00596088
+0.00734757
+0.00903564
+0.0108689
+0.0127478
+0.0146072
+0.0165471
+0.0185329
+0.0205583
+0.0226133
+0.0246022
+0.0266227
+0.0286682
+0.0307338
+0.0328155
+0.0349106
+0.0370168
+0.0391063
+0.0405878
+0.0421313
+0.04373
+0.0453782
+0.0470707
+0.0482044
+0.0482447
+0.0483754
+0.0486045
+0.0489307
+0.0493521
+0.0498596
+0.0504465
+0.0511082
+0.0518063
+0.0525386
+0.0533507
+0.0542393
+0.0552005
+0.0561679
+0.0568722
+0.0573627
+0.0579319
+0.0585775
+0.0592523
+0.0598838
+0.0604551
+0.061089
+0.0617911
+0.0625621
+0.0633995
+0.0670692
+0.0658401
+0.0646619
+0.0635374
+0.0624694
+0.061449
+0.0604882
+0.0595925
+0.0587648
+0.058008
+0.0573251
+0.0567185
+0.0561909
+0.0557435
+0.054392
+0.0524916
+0.0506115
+0.0487574
+0.0469323
+0.0451397
+0.0433837
+0.0416689
+0.0399953
+0.0383265
+0.0367126
+0.0351611
+0.033674
+0.0322508
+0.0309175
+0.0296861
+0.028563
+0.0275419
+0.0266622
+0.0259296
+0.0238105
+0.0216979
+0.0196008
+0.0175266
+0.0154846
+0.0134893
+0.0115105
+0.00955833
+0.00772407
+0.00586028
+0.00406585
+0.00264482
+0.00159518
+0.00132299
+0.00136173
+0.00205573
+0.00294262
+0.00424953
+0.00599635
+0.00789998
+0.00981551
+0.0117307
+0.0137285
+0.0157687
+0.0178277
+0.0198125
+0.0218366
+0.0238902
+0.0259662
+0.0280596
+0.0301669
+0.0322852
+0.0344126
+0.0360168
+0.0374924
+0.0390353
+0.0406377
+0.0422929
+0.043995
+0.0457387
+0.0468667
+0.0471493
+0.0473032
+0.0475403
+0.0478543
+0.0482658
+0.0487723
+0.0493696
+0.0500387
+0.0507545
+0.0515018
+0.0523301
+0.0532358
+0.0542149
+0.0552331
+0.0559094
+0.0563263
+0.0568243
+0.0574016
+0.0580559
+0.0586918
+0.0592705
+0.0599138
+0.0606296
+0.0614045
+0.062241
+0.065989
+0.0647394
+0.0635407
+0.062396
+0.0613082
+0.0602804
+0.0593014
+0.0583875
+0.0575425
+0.0567694
+0.0560714
+0.0554511
+0.0549114
+0.0544544
+0.0540824
+0.0532723
+0.0514208
+0.0495929
+0.0477573
+0.0459528
+0.0441832
+0.042453
+0.0407671
+0.0391312
+0.0375366
+0.0359997
+0.0345334
+0.0331471
+0.0318513
+0.030651
+0.0295399
+0.0285538
+0.0276709
+0.0255547
+0.0234521
+0.0213673
+0.019306
+0.0172765
+0.015217
+0.0131052
+0.0110181
+0.00896094
+0.00690878
+0.00496875
+0.0031299
+0.00122288
+-0.000196786
+-0.000724688
+-0.00066942
+0.000106018
+0.00115174
+0.0030046
+0.00508758
+0.00702698
+0.00900247
+0.0110593
+0.0131258
+0.0150929
+0.0171144
+0.0191731
+0.0212583
+0.0233627
+0.0254817
+0.0276119
+0.0297159
+0.0313673
+0.0329289
+0.0343975
+0.0359397
+0.0375464
+0.0392097
+0.0409228
+0.0426795
+0.0441912
+0.0453412
+0.0460923
+0.0462494
+0.0464847
+0.0468058
+0.0472264
+0.047744
+0.0483545
+0.0490376
+0.0497678
+0.0505297
+0.0513737
+0.052296
+0.0532258
+0.0542252
+0.054724
+0.0551495
+0.055658
+0.0562473
+0.0569149
+0.0575585
+0.0581411
+0.0587853
+0.0594974
+0.0602808
+0.0611326
+0.0649647
+0.063695
+0.0624763
+0.0613117
+0.0602043
+0.0591573
+0.0581727
+0.0572407
+0.0563785
+0.0555892
+0.0548762
+0.0542423
+0.0536904
+0.0532229
+0.0528423
+0.0525258
+0.0518478
+0.0503128
+0.0485045
+0.0467277
+0.044982
+0.0432703
+0.0415995
+0.0399789
+0.0384149
+0.0369148
+0.0354865
+0.0341391
+0.0328826
+0.0317151
+0.0306425
+0.0296337
+0.027494
+0.025363
+0.0232431
+0.0211377
+0.0190515
+0.0169917
+0.014969
+0.0128675
+0.0106941
+0.00852939
+0.0063825
+0.00427945
+0.00222897
+0.000348351
+-0.00148151
+-0.00280898
+-0.00267921
+-0.00168295
+0.00024895
+0.00228237
+0.00422284
+0.00631665
+0.00845968
+0.0104917
+0.0124909
+0.0145454
+0.0166346
+0.0187471
+0.0208756
+0.0230137
+0.0250858
+0.0266733
+0.0283326
+0.0298431
+0.0313031
+0.0328445
+0.0344563
+0.0361291
+0.0378547
+0.0396264
+0.0414381
+0.0426825
+0.0438721
+0.0451105
+0.0452538
+0.0454987
+0.045838
+0.0462674
+0.0467956
+0.0474188
+0.0481155
+0.0488285
+0.0496212
+0.0504609
+0.0513272
+0.0522711
+0.0532095
+0.0535962
+0.0540306
+0.0545495
+0.0551507
+0.0558314
+0.0564703
+0.0570433
+0.0576938
+0.0584192
+0.05921
+0.0600616
+0.0639929
+0.062704
+0.0614662
+0.0602826
+0.0591565
+0.0580911
+0.05709
+0.0561478
+0.0552742
+0.0544706
+0.0537427
+0.0530953
+0.0525313
+0.0520535
+0.0516642
+0.0513655
+0.0508987
+0.0502919
+0.049305
+0.0475462
+0.0458219
+0.0441389
+0.0425023
+0.0409175
+0.0393908
+0.0379292
+0.0365406
+0.0352336
+0.0340176
+0.0328908
+0.0317778
+0.029631
+0.0274911
+0.0253598
+0.0232397
+0.0211339
+0.0190419
+0.0169622
+0.0148588
+0.0127581
+0.010677
+0.00849438
+0.0063173
+0.00415454
+0.00203988
+-4.64309e-05
+-0.00221018
+-0.00424997
+-0.00403951
+-0.00191496
+0.00012415
+0.00193724
+0.00402227
+0.00610348
+0.00810814
+0.0101239
+0.0121836
+0.0142823
+0.0164051
+0.0185437
+0.0205679
+0.0220594
+0.023645
+0.0253132
+0.0267601
+0.0282097
+0.02975
+0.0313678
+0.0330517
+0.034792
+0.0365808
+0.0384113
+0.0400809
+0.0412351
+0.0424652
+0.0437704
+0.0443404
+0.0445902
+0.0449456
+0.045394
+0.0459322
+0.0465628
+0.0472054
+0.0479255
+0.0487328
+0.0495492
+0.0504312
+0.0513915
+0.0521508
+0.0525356
+0.0529786
+0.0535078
+0.0541205
+0.0548071
+0.0554198
+0.0560035
+0.0566626
+0.0573849
+0.0581808
+0.0590472
+0.0629665
+0.0617364
+0.0605086
+0.0593059
+0.0581609
+0.057077
+0.0560578
+0.0550979
+0.0542074
+0.0533895
+0.0526466
+0.0519856
+0.0514094
+0.0509211
+0.0505231
+0.0502157
+0.0499858
+0.0493975
+0.0488291
+0.0483432
+0.0467458
+0.0450973
+0.0434967
+0.0419495
+0.0404618
+0.0390404
+0.0376927
+0.0364271
+0.0352522
+0.0340579
+0.0319177
+0.0297847
+0.0276609
+0.0255427
+0.0234265
+0.0213237
+0.0192217
+0.0170957
+0.0149527
+0.0127929
+0.0106458
+0.00852087
+0.00644021
+0.00434109
+0.00235686
+0.000175102
+-0.00189576
+-0.00306865
+-0.00277813
+-0.00132623
+0.000163981
+0.00172453
+0.00358312
+0.00561011
+0.00769694
+0.0097932
+0.0119235
+0.0140723
+0.016187
+0.0175828
+0.0190562
+0.0206375
+0.0223155
+0.0236812
+0.0251173
+0.0266563
+0.0282814
+0.0299785
+0.0317362
+0.0335449
+0.0353968
+0.0372719
+0.0386593
+0.0398555
+0.0411269
+0.0424733
+0.0435181
+0.0437726
+0.0441346
+0.0446013
+0.0451562
+0.045713
+0.0463546
+0.0470895
+0.0478966
+0.0487101
+0.049607
+0.0505829
+0.051164
+0.0515416
+0.0519932
+0.0525323
+0.0531562
+0.0538518
+0.0544259
+0.055015
+0.0556725
+0.0564074
+0.0572169
+0.0580977
+0.0619448
+0.060704
+0.0595097
+0.058366
+0.0572319
+0.0561301
+0.0550933
+0.0541163
+0.0532094
+0.0523759
+0.0516185
+0.0509441
+0.050356
+0.0498573
+0.0494508
+0.0491367
+0.0489018
+0.0485685
+0.0479904
+0.0475063
+0.0471087
+0.0461399
+0.0445768
+0.0430684
+0.0416207
+0.0402402
+0.0389341
+0.0377101
+0.0364407
+0.0343092
+0.0321857
+0.0300718
+0.0279698
+0.0258781
+0.0237904
+0.0216527
+0.0194967
+0.0173494
+0.0152145
+0.013098
+0.0110105
+0.00895158
+0.00690719
+0.00496812
+0.00293863
+0.00110909
+-0.000189869
+-0.00162819
+-0.00126324
+-0.00108335
+0.000527898
+0.00217942
+0.00389589
+0.00581405
+0.00784683
+0.00991144
+0.0118917
+0.013378
+0.0146448
+0.0160889
+0.0176613
+0.0193339
+0.0206079
+0.0220266
+0.0235638
+0.0251978
+0.0269111
+0.0286895
+0.0305215
+0.0323918
+0.034288
+0.0361467
+0.0373122
+0.0385512
+0.0398641
+0.0412518
+0.0427067
+0.0430084
+0.0433767
+0.0438188
+0.0443143
+0.0448691
+0.0455226
+0.0462707
+0.047079
+0.0479063
+0.048818
+0.0498094
+0.0502512
+0.0506195
+0.0510792
+0.0516278
+0.0522626
+0.0529699
+0.0534961
+0.0540834
+0.0547521
+0.0554992
+0.0563218
+0.0572111
+0.0609737
+0.0597129
+0.0585071
+0.0573595
+0.056262
+0.055225
+0.0541997
+0.0532069
+0.0522842
+0.0514357
+0.0506642
+0.049977
+0.0493774
+0.0488687
+0.0484539
+0.0481333
+0.0478934
+0.0477529
+0.0472384
+0.0467465
+0.0463531
+0.0460498
+0.0457363
+0.0442675
+0.0428603
+0.041521
+0.0402565
+0.0389244
+0.0368063
+0.0346973
+0.0325991
+0.0305138
+0.0284445
+0.0263167
+0.0241796
+0.0220531
+0.0199404
+0.0178466
+0.015779
+0.0137413
+0.0116565
+0.00959674
+0.00761045
+0.00573944
+0.00405379
+0.00257064
+0.000971787
+0.000346026
+-0.000296098
+0.000373517
+0.00160892
+0.00276475
+0.00448683
+0.00643428
+0.00817124
+0.0096105
+0.010577
+0.0117863
+0.0131818
+0.0147355
+0.0163071
+0.0175434
+0.0189382
+0.0204729
+0.0221183
+0.0238516
+0.025655
+0.0275146
+0.0294022
+0.0313262
+0.0332831
+0.0347944
+0.0360407
+0.0373299
+0.0386843
+0.0401128
+0.0416076
+0.0423314
+0.0426403
+0.0430586
+0.0435201
+0.0440849
+0.0447498
+0.0454971
+0.0462655
+0.0471071
+0.0480339
+0.0490412
+0.0494022
+0.0497768
+0.0502442
+0.0508018
+0.0514468
+0.0521174
+0.0526289
+0.0532258
+0.0539051
+0.0546638
+0.0554933
+0.0563846
+0.0600625
+0.0587822
+0.0575569
+0.05639
+0.0552853
+0.0542467
+0.0532673
+0.0523369
+0.0514357
+0.050573
+0.0497882
+0.0490886
+0.0484781
+0.0479599
+0.0475371
+0.0472103
+0.0469657
+0.0468224
+0.0465774
+0.0460785
+0.0456793
+0.0453775
+0.0451645
+0.0450391
+0.0441738
+0.0428756
+0.0414908
+0.0393889
+0.0372973
+0.0352177
+0.0331524
+0.031053
+0.028934
+0.0268266
+0.0247336
+0.0226591
+0.0206051
+0.0185097
+0.0164328
+0.0143897
+0.0123972
+0.0104839
+0.00865718
+0.00694208
+0.0053958
+0.00398655
+0.00269864
+0.00181756
+0.00145922
+0.00181968
+0.00185243
+0.00315078
+0.00488133
+0.00566361
+0.00663548
+0.00795778
+0.00901866
+0.0103672
+0.0118959
+0.0132415
+0.0144932
+0.0158537
+0.0173846
+0.0190449
+0.0208036
+0.0226378
+0.0245216
+0.0264377
+0.0283935
+0.0303431
+0.0320414
+0.0335076
+0.0347984
+0.0361717
+0.0375879
+0.0390565
+0.0405902
+0.0416594
+0.0419732
+0.0423552
+0.0428234
+0.0433972
+0.0440586
+0.044769
+0.0455389
+0.0463937
+0.0473345
+0.0482985
+0.0486371
+0.0490176
+0.0494921
+0.0500582
+0.0507126
+0.0513205
+0.0518398
+0.0524457
+0.053135
+0.0538989
+0.0547285
+0.0556321
+0.0592184
+0.0579195
+0.0566755
+0.0554901
+0.0543671
+0.0533106
+0.0523178
+0.0513842
+0.0505139
+0.049725
+0.0489945
+0.0482834
+0.0476625
+0.0471354
+0.0467051
+0.0463725
+0.0461234
+0.0459636
+0.0459015
+0.0455061
+0.0451019
+0.0447963
+0.0445805
+0.0444717
+0.0444523
+0.0441255
+0.0420412
+0.0399683
+0.0379086
+0.0358329
+0.0337297
+0.0316383
+0.0295613
+0.0275007
+0.0254033
+0.023323
+0.0212648
+0.019236
+0.017208
+0.0152204
+0.0132945
+0.0114616
+0.00973626
+0.008182
+0.00683629
+0.00564538
+0.00433232
+0.00361126
+0.00357535
+0.00326874
+0.00337301
+0.00359312
+0.00332823
+0.00379397
+0.0050594
+0.00611258
+0.0074384
+0.00892007
+0.0101954
+0.0114588
+0.0127758
+0.0143006
+0.015981
+0.0177729
+0.0196458
+0.0215537
+0.0235076
+0.0254999
+0.0274206
+0.0291425
+0.0307936
+0.0323165
+0.033652
+0.0350647
+0.0365541
+0.0380883
+0.0396331
+0.0410933
+0.0413899
+0.0417541
+0.0422289
+0.0427963
+0.0434169
+0.0441228
+0.0448977
+0.0457645
+0.046718
+0.0475971
+0.0479437
+0.0483457
+0.0488268
+0.0494005
+0.0500635
+0.0506059
+0.0511325
+0.0517466
+0.0524393
+0.0532015
+0.0540418
+0.0549567
+0.058432
+0.0571278
+0.0558661
+0.0546632
+0.0535229
+0.0524494
+0.0514398
+0.0504954
+0.0496095
+0.0488059
+0.0480887
+0.0474619
+0.0469132
+0.0463997
+0.0459626
+0.0456105
+0.0453368
+0.0451678
+0.0451046
+0.0450146
+0.0446247
+0.0443158
+0.0440977
+0.0439877
+0.0439867
+0.0440761
+0.042697
+0.0406411
+0.0385512
+0.0364732
+0.0344062
+0.0323114
+0.0302302
+0.028148
+0.0260731
+0.0240187
+0.0219906
+0.0199969
+0.0180488
+0.0161631
+0.0143623
+0.0126344
+0.011069
+0.00965761
+0.00827219
+0.00709322
+0.00608766
+0.00517182
+0.00488961
+0.00443131
+0.00355501
+0.00262916
+0.00155844
+0.00230663
+0.00317117
+0.00437175
+0.00582593
+0.00719392
+0.00845123
+0.00971065
+0.0112243
+0.0129334
+0.0147701
+0.0166783
+0.0186283
+0.0206266
+0.0226605
+0.0245412
+0.0262742
+0.027937
+0.0296553
+0.03123
+0.0326004
+0.0340567
+0.0355883
+0.0371709
+0.0387313
+0.0403504
+0.0408921
+0.0412606
+0.0417215
+0.0422491
+0.0428777
+0.043571
+0.0443555
+0.0452327
+0.0461972
+0.0469145
+0.0473385
+0.047765
+0.0482519
+0.0488323
+0.049502
+0.0499771
+0.0505103
+0.0511259
+0.0518149
+0.0525862
+0.0534362
+0.0543612
+0.0576984
+0.0563808
+0.0551189
+0.0539126
+0.0527561
+0.0516667
+0.0506413
+0.049682
+0.0487813
+0.0479638
+0.0472339
+0.0465956
+0.0460527
+0.0455923
+0.0452295
+0.044914
+0.0446374
+0.0444657
+0.0444016
+0.0444455
+0.0442301
+0.0439267
+0.0437194
+0.0436084
+0.0436074
+0.0437163
+0.04339
+0.041319
+0.0392174
+0.0371147
+0.0350229
+0.0329439
+0.0308804
+0.0288357
+0.026814
+0.024821
+0.0228642
+0.0209537
+0.0191035
+0.0173154
+0.0156095
+0.014034
+0.0124962
+0.0110322
+0.00974475
+0.00868977
+0.00739886
+0.00630079
+0.00557837
+0.00443565
+0.00360348
+0.00215473
+0.000963423
+0.000986716
+0.00133937
+0.00273385
+0.0042672
+0.00554419
+0.00667604
+0.00816454
+0.00991706
+0.0118167
+0.0137627
+0.0157689
+0.0178187
+0.0197942
+0.0216838
+0.0234518
+0.0251378
+0.0268564
+0.0286369
+0.030253
+0.0316657
+0.033163
+0.0347341
+0.0363402
+0.0379348
+0.0395864
+0.0405067
+0.040836
+0.0412764
+0.0418098
+0.0424294
+0.0431235
+0.0439161
+0.0448018
+0.0454619
+0.0461644
+0.046828
+0.0472788
+0.0477706
+0.0483568
+0.0489907
+0.0494376
+0.0499704
+0.0505803
+0.0512766
+0.0520558
+0.0529143
+0.0538483
+0.0570394
+0.0557063
+0.0544287
+0.0532107
+0.0520564
+0.0509552
+0.0499226
+0.0489531
+0.0480388
+0.0472084
+0.0464666
+0.0458177
+0.0452655
+0.0448137
+0.0444486
+0.0441851
+0.0440246
+0.0438505
+0.0437855
+0.0438301
+0.0438938
+0.0436324
+0.0434355
+0.0433368
+0.0433358
+0.0434453
+0.0436647
+0.0419152
+0.0398345
+0.0377662
+0.0357126
+0.0336762
+0.0316604
+0.0296695
+0.0277087
+0.0257849
+0.0239072
+0.0220857
+0.0203097
+0.0186205
+0.0169678
+0.0153338
+0.0137265
+0.0122976
+0.0110906
+0.00978469
+0.00836075
+0.00710465
+0.00565461
+0.00419305
+0.00275334
+0.00196009
+0.00145662
+-0.000206801
+-0.000317494
+0.00139302
+0.00282336
+0.003736
+0.00515082
+0.00697289
+0.00893319
+0.0109477
+0.0130193
+0.0149872
+0.0168359
+0.0187577
+0.02059
+0.0224146
+0.0241308
+0.0257478
+0.0273869
+0.0290974
+0.0308584
+0.0323918
+0.0339917
+0.035625
+0.0372502
+0.0389309
+0.0401706
+0.0404999
+0.0409302
+0.0414632
+0.0420839
+0.0427837
+0.0435824
+0.0441658
+0.0447946
+0.0455074
+0.046313
+0.0468733
+0.0473858
+0.0479767
+0.0485392
+0.0489838
+0.049509
+0.0501245
+0.050827
+0.051613
+0.0524788
+0.0534204
+0.0564494
+0.0551089
+0.0538171
+0.052585
+0.0514166
+0.0503128
+0.0492779
+0.0483018
+0.047386
+0.046544
+0.0457914
+0.0451328
+0.0445721
+0.0441133
+0.0437489
+0.0434811
+0.0433226
+0.0432746
+0.0432618
+0.0433069
+0.0434625
+0.0434048
+0.043249
+0.0431616
+0.0431737
+0.0432837
+0.0435038
+0.0426059
+0.0405606
+0.0385314
+0.0365208
+0.0345321
+0.0325693
+0.0306375
+0.0287428
+0.0268932
+0.025063
+0.023273
+0.0215472
+0.0198362
+0.0181533
+0.0165275
+0.0150458
+0.013739
+0.012421
+0.0108972
+0.009292
+0.00766979
+0.00608232
+0.00420806
+0.00264687
+0.00152163
+-6.3501e-05
+-0.00118099
+-0.00109495
+7.10773e-05
+0.00129961
+0.00236613
+0.00420727
+0.00624802
+0.0083361
+0.010251
+0.012029
+0.013925
+0.015897
+0.0178022
+0.0195597
+0.0212601
+0.0229134
+0.0245462
+0.0262566
+0.028033
+0.0298645
+0.0317389
+0.0333701
+0.0350324
+0.0366839
+0.0383894
+0.0399349
+0.0402432
+0.0406674
+0.0412037
+0.0418327
+0.0424711
+0.04304
+0.0435828
+0.0442069
+0.044929
+0.0457448
+0.0465643
+0.0470999
+0.0476873
+0.0481766
+0.0486118
+0.049141
+0.049761
+0.0504686
+0.0512602
+0.0521318
+0.0530796
+0.0559144
+0.0545708
+0.0532797
+0.0520348
+0.0508538
+0.0497414
+0.0487021
+0.0477143
+0.0467956
+0.045963
+0.0452124
+0.0445452
+0.043977
+0.0435119
+0.0431424
+0.0428709
+0.0427102
+0.0426615
+0.0427252
+0.0428894
+0.0430465
+0.0432683
+0.0431309
+0.0430855
+0.0431093
+0.0432325
+0.043453
+0.0433963
+0.0413901
+0.0394036
+0.0374399
+0.0355027
+0.0335844
+0.0316741
+0.0298024
+0.0279768
+0.0261847
+0.0243825
+0.0226475
+0.0209932
+0.019419
+0.0179085
+0.0165444
+0.0151797
+0.01351
+0.0117819
+0.00996319
+0.00809473
+0.00625728
+0.00465946
+0.00283895
+0.00135747
+-0.000144739
+-0.00185103
+-0.00202308
+-0.00140504
+0.000380376
+0.00194868
+0.00380715
+0.00543207
+0.00729728
+0.00916239
+0.0111158
+0.0131409
+0.0150351
+0.0166955
+0.0184227
+0.0201567
+0.0217742
+0.023481
+0.0252626
+0.0271042
+0.0289944
+0.0309243
+0.032883
+0.0345687
+0.0362414
+0.0379668
+0.0396698
+0.0400957
+0.0405214
+0.0409989
+0.0415347
+0.0420464
+0.0424673
+0.0429959
+0.0436281
+0.0443597
+0.0451857
+0.0461011
+0.0469146
+0.0474958
+0.0478986
+0.0483364
+0.0488685
+0.049492
+0.0502034
+0.050999
+0.0518751
+0.0528274
+0.0554608
+0.0541059
+0.0528072
+0.0515656
+0.0503801
+0.0492569
+0.0482072
+0.0472212
+0.0462928
+0.045451
+0.0447008
+0.0440453
+0.0434836
+0.0430138
+0.04264
+0.0423653
+0.0422026
+0.0421533
+0.0422178
+0.0423955
+0.0426777
+0.0430082
+0.043105
+0.0430785
+0.0431445
+0.0432792
+0.0435124
+0.0438203
+0.0423169
+0.0403458
+0.038397
+0.0364756
+0.0345862
+0.0327344
+0.0308804
+0.0290327
+0.0272356
+0.0255002
+0.0238398
+0.0222626
+0.0207822
+0.0194365
+0.0177028
+0.0158307
+0.014051
+0.0121038
+0.0100689
+0.00804335
+0.00599953
+0.004033
+0.00244293
+0.00106303
+-0.000574082
+-0.00231627
+-0.00351507
+-0.00263533
+-0.000872078
+0.000864544
+0.00251659
+0.00439271
+0.006458
+0.00846802
+0.0105219
+0.0122885
+0.0139318
+0.0156839
+0.0174278
+0.0191012
+0.0207966
+0.0225775
+0.0244251
+0.0263253
+0.0282676
+0.0302439
+0.0322479
+0.0342226
+0.0358608
+0.0375455
+0.0392649
+0.0400577
+0.0403861
+0.0408125
+0.0412394
+0.0415531
+0.041979
+0.0425136
+0.0431529
+0.0438924
+0.0447271
+0.0456517
+0.0466609
+0.0473602
+0.0477024
+0.0481419
+0.0486762
+0.0493021
+0.0500162
+0.0508148
+0.0516939
+0.0526496
+0.0550906
+0.0537264
+0.0524183
+0.0511672
+0.0499753
+0.0488526
+0.047804
+0.0468256
+0.0458891
+0.0450397
+0.0442826
+0.0436208
+0.0430536
+0.0425916
+0.0422384
+0.0419681
+0.0418039
+0.0417541
+0.0418192
+0.0419986
+0.0422834
+0.0426646
+0.0431439
+0.0431639
+0.0432486
+0.0434249
+0.0436688
+0.0439886
+0.0432288
+0.0412998
+0.0393982
+0.0375266
+0.0356193
+0.0337464
+0.0319141
+0.0301296
+0.028402
+0.0267424
+0.0251523
+0.0236499
+0.0220683
+0.0201432
+0.0182462
+0.0164216
+0.0144419
+0.0123496
+0.010232
+0.00815308
+0.00613012
+0.00418855
+0.00245717
+0.000333984
+-0.00110547
+-0.0028512
+-0.00455955
+-0.00384736
+-0.00195168
+-4.25986e-06
+0.00185407
+0.00374165
+0.00570454
+0.0076177
+0.00949304
+0.0113423
+0.0130782
+0.0148298
+0.0165732
+0.0182439
+0.0200121
+0.021857
+0.0237606
+0.02571
+0.0276956
+0.0297085
+0.0317409
+0.033793
+0.0355477
+0.037236
+0.0389691
+0.039978
+0.0402897
+0.0406531
+0.040854
+0.0411707
+0.0416004
+0.0421399
+0.0427848
+0.0435305
+0.044372
+0.0453038
+0.0463086
+0.0472612
+0.0476041
+0.0480446
+0.0485799
+0.049207
+0.0499225
+0.0507226
+0.0516033
+0.0525606
+0.0547917
+0.0534341
+0.0521183
+0.050859
+0.0496609
+0.0485309
+0.0474752
+0.0464988
+0.0455743
+0.044719
+0.0439563
+0.0432912
+0.0427281
+0.0422662
+0.0419103
+0.0416666
+0.0415171
+0.041467
+0.0415325
+0.0417131
+0.0419999
+0.0423836
+0.042866
+0.0433597
+0.0434443
+0.0436385
+0.0439226
+0.0442566
+0.0438051
+0.0423149
+0.0403961
+0.0385063
+0.0366501
+0.0348327
+0.0330606
+0.0313414
+0.0296845
+0.0280864
+0.0265693
+0.0246649
+0.0227225
+0.0208293
+0.0189284
+0.0169488
+0.0148763
+0.0128019
+0.0107728
+0.00876581
+0.00687027
+0.00500677
+0.00300872
+0.00100456
+-0.00096698
+-0.00285512
+-0.00483652
+-0.00484818
+-0.00299976
+-0.00108593
+0.000823638
+0.00274864
+0.00478552
+0.00675702
+0.00871476
+0.0106846
+0.0124584
+0.0141737
+0.015849
+0.0175851
+0.0194134
+0.0213102
+0.0232586
+0.0252469
+0.0272656
+0.0293036
+0.0313622
+0.0334375
+0.0353474
+0.0370393
+0.0387811
+0.0399809
+0.0402926
+0.040379
+0.0405813
+0.0409
+0.0413326
+0.0418755
+0.0425244
+0.0432746
+0.044121
+0.0450476
+0.0460498
+0.0471327
+0.0476066
+0.048047
+0.0485823
+0.0492094
+0.0499248
+0.0507249
+0.0516055
+0.0525628
+0.054542
+0.0531812
+0.0518773
+0.0506267
+0.049426
+0.0482948
+0.0472382
+0.0462612
+0.0453421
+0.0445031
+0.0437367
+0.0430682
+0.0425022
+0.0420428
+0.0416937
+0.0414498
+0.0413197
+0.0412933
+0.0413591
+0.0415405
+0.0418293
+0.0422146
+0.0426989
+0.0432772
+0.0437487
+0.0439418
+0.0442424
+0.0440857
+0.0435484
+0.0431157
+0.0414239
+0.0395832
+0.0377799
+0.0360195
+0.0343088
+0.0326553
+0.0310524
+0.0293076
+0.0273439
+0.0254173
+0.023537
+0.0215743
+0.019617
+0.0175682
+0.0154698
+0.0134008
+0.0113601
+0.00937219
+0.00725468
+0.00518648
+0.003104
+0.00114511
+-0.000805311
+-0.00287178
+-0.00499812
+-0.00564282
+-0.00388875
+-0.0019513
+5.02607e-05
+0.0021049
+0.00406565
+0.00607393
+0.00804727
+0.0100087
+0.011741
+0.0135232
+0.0153557
+0.0171737
+0.0190416
+0.020972
+0.0229492
+0.024962
+0.0270021
+0.0290586
+0.0311333
+0.033223
+0.0352763
+0.0369715
+0.0387164
+0.0400716
+0.0401059
+0.0402015
+0.0404047
+0.0407248
+0.0411593
+0.0417044
+0.0423559
+0.0431091
+0.0439586
+0.0448885
+0.0458943
+0.0469807
+0.0477097
+0.0481492
+0.0486834
+0.0493092
+0.0500232
+0.0508217
+0.0517007
+0.0526562
+0.0543795
+0.0530146
+0.0517065
+0.0504595
+0.0492711
+0.0481413
+0.0470864
+0.0461098
+0.0451876
+0.0443458
+0.0435979
+0.0429412
+0.0423796
+0.041925
+0.0415777
+0.0413408
+0.0412177
+0.0412035
+0.0412801
+0.0414618
+0.0417579
+0.0421588
+0.0426438
+0.0432228
+0.0439037
+0.0443512
+0.0445467
+0.0439057
+0.0433661
+0.0429316
+0.0425397
+0.0407495
+0.0390001
+0.0372974
+0.035645
+0.0339902
+0.0320477
+0.0301033
+0.0281951
+0.0262988
+0.0243268
+0.0222187
+0.0201268
+0.0180456
+0.0159924
+0.0139417
+0.0118308
+0.00975512
+0.00771816
+0.00560687
+0.0035907
+0.00153119
+-0.000623337
+-0.0027394
+-0.00473121
+-0.00488568
+-0.00348571
+-0.0017767
+4.18735e-05
+0.00194198
+0.0038287
+0.00582478
+0.00767694
+0.00951824
+0.0112991
+0.0131453
+0.0150791
+0.0170264
+0.0189177
+0.0208595
+0.0228465
+0.0248677
+0.0269149
+0.0289776
+0.0310577
+0.0331521
+0.0352582
+0.0367834
+0.0380764
+0.0394488
+0.0400076
+0.040143
+0.0403464
+0.0406671
+0.0411021
+0.041648
+0.0423004
+0.0430545
+0.0439051
+0.0448361
+0.045843
+0.0469306
+0.0479129
+0.0483506
+0.0488826
+0.0495058
+0.0502171
+0.0510125
+0.0518883
+0.0528404
+0.054305
+0.0529382
+0.0516281
+0.0503792
+0.0491963
+0.0480765
+0.0470201
+0.0460438
+0.0451391
+0.0442963
+0.0435476
+0.0428977
+0.0423495
+0.0418948
+0.0415503
+0.0413133
+0.0411916
+0.0411862
+0.0412924
+0.0414984
+0.0417942
+0.0421987
+0.0426932
+0.0432794
+0.0439594
+0.0447364
+0.0444765
+0.0438346
+0.0432941
+0.0428589
+0.0425322
+0.0419977
+0.0403026
+0.0386519
+0.0368024
+0.0348479
+0.0329231
+0.0310337
+0.0290519
+0.0269537
+0.024864
+0.0227933
+0.0207473
+0.0186786
+0.0165918
+0.0145355
+0.0124522
+0.010371
+0.00833854
+0.00625574
+0.0041491
+0.00209105
+0.000153499
+-0.00172485
+-0.00328127
+-0.00372233
+-0.00256696
+-0.00123846
+0.00032051
+0.00199906
+0.00369256
+0.00555099
+0.00757808
+0.00945902
+0.0112693
+0.0131196
+0.0150609
+0.0170494
+0.0189989
+0.0209766
+0.0229534
+0.0249659
+0.0270057
+0.029011
+0.0310255
+0.0330593
+0.0347607
+0.0360863
+0.0374034
+0.0387996
+0.0400223
+0.0401591
+0.0404071
+0.0407272
+0.0411616
+0.0417067
+0.0423582
+0.0431113
+0.0439608
+0.0448907
+0.0458964
+0.0469828
+0.0481444
+0.0486498
+0.0491786
+0.0497982
+0.0505053
+0.0512962
+0.0521672
+0.0531144
+0.0543157
+0.0529523
+0.0516426
+0.0503941
+0.0492115
+0.0480996
+0.0470454
+0.0460696
+0.0451791
+0.0443551
+0.0436073
+0.0429584
+0.0424128
+0.0419746
+0.0416352
+0.0413987
+0.0412773
+0.0412719
+0.0413779
+0.0415891
+0.0419139
+0.0423482
+0.0428409
+0.0434352
+0.0441127
+0.0448871
+0.0445075
+0.0438729
+0.0433328
+0.042898
+0.0425716
+0.0423562
+0.0415721
+0.0396299
+0.0376947
+0.0357889
+0.033801
+0.0317298
+0.029653
+0.0275938
+0.0255565
+0.0234675
+0.0213989
+0.0193378
+0.0172486
+0.0151879
+0.0131616
+0.0110676
+0.00899238
+0.00698287
+0.00502907
+0.00309751
+0.00127028
+-0.000439933
+-0.00158218
+-0.00233428
+-0.00129509
+-0.000249382
+0.0010347
+0.00258162
+0.00418843
+0.00591988
+0.00777251
+0.00957065
+0.0113848
+0.0131948
+0.0150625
+0.0169846
+0.0189405
+0.0209369
+0.0229592
+0.0249521
+0.0269139
+0.0289086
+0.0309299
+0.0327933
+0.0341419
+0.035484
+0.0368485
+0.0382648
+0.0396823
+0.0400788
+0.0403286
+0.040695
+0.0411655
+0.0417452
+0.0424266
+0.0431999
+0.0440687
+0.0450274
+0.046054
+0.0471368
+0.0482947
+0.0490452
+0.0495697
+0.0501845
+0.0508862
+0.0516713
+0.0525362
+0.0534768
+0.0543836
+0.0530231
+0.0517152
+0.0504685
+0.0492877
+0.0481776
+0.0471432
+0.0461897
+0.0453017
+0.0445038
+0.0437768
+0.0431304
+0.0425871
+0.0421507
+0.0418244
+0.0415905
+0.0414696
+0.0414642
+0.0415745
+0.041789
+0.0421122
+0.042546
+0.0430868
+0.0436904
+0.044364
+0.0451341
+0.0445903
+0.0439711
+0.0434536
+0.0430416
+0.0427235
+0.0425088
+0.0424064
+0.0405783
+0.0385663
+0.0365349
+0.0344727
+0.0324236
+0.0303647
+0.0282915
+0.0262374
+0.0241543
+0.022086
+0.0200438
+0.0179928
+0.0159149
+0.0138703
+0.011878
+0.00988233
+0.00792256
+0.0061211
+0.00420382
+0.00246424
+0.00120153
+0.000262717
+-0.000433188
+0.00010274
+0.00100829
+0.00202046
+0.00333619
+0.00477412
+0.00642372
+0.00806522
+0.00977267
+0.0116008
+0.0133896
+0.0152585
+0.017157
+0.0190927
+0.0210701
+0.023079
+0.0250255
+0.026982
+0.0289619
+0.0309594
+0.0323498
+0.0336208
+0.0349828
+0.0363544
+0.0377523
+0.0391638
+0.0400393
+0.0402928
+0.0406494
+0.0411198
+0.0417002
+0.042382
+0.0431562
+0.0440258
+0.0449855
+0.0460224
+0.0471256
+0.048303
+0.0495344
+0.0500538
+0.0506627
+0.0513579
+0.0521359
+0.0529294
+0.0537942
+0.0545395
+0.053183
+0.0518791
+0.0506365
+0.0494597
+0.0483535
+0.047323
+0.0463731
+0.045509
+0.0447355
+0.0440271
+0.0433896
+0.0428495
+0.0424159
+0.0420919
+0.0418801
+0.0417737
+0.0417684
+0.0418779
+0.0421011
+0.0424229
+0.0428535
+0.0433905
+0.0440302
+0.0447214
+0.0454854
+0.0447803
+0.0441638
+0.0436486
+0.0432384
+0.0429362
+0.0427442
+0.0426559
+0.0413334
+0.0393119
+0.0372698
+0.035185
+0.0331139
+0.0310592
+0.0289982
+0.0269456
+0.0249165
+0.0228404
+0.0207845
+0.018759
+0.0167751
+0.0147597
+0.0127968
+0.0108846
+0.00889424
+0.00702417
+0.00537282
+0.00401041
+0.00285739
+0.00203302
+0.00153945
+0.00172656
+0.00239861
+0.00324039
+0.00444084
+0.00577127
+0.00713128
+0.00859249
+0.0102009
+0.0119413
+0.0138092
+0.0156213
+0.017506
+0.0194469
+0.021358
+0.0232614
+0.0252116
+0.0271983
+0.0291174
+0.030668
+0.0319499
+0.0332361
+0.0345839
+0.0359562
+0.0373357
+0.0387623
+0.0400129
+0.0403652
+0.0407212
+0.0411899
+0.0417574
+0.0424299
+0.0432032
+0.044072
+0.0450306
+0.0460657
+0.0471679
+0.0483443
+0.0495896
+0.050621
+0.0511643
+0.0517811
+0.0524821
+0.0532639
+0.054089
+0.0547826
+0.0534323
+0.0521346
+0.0508982
+0.0497276
+0.0486276
+0.047603
+0.0466588
+0.0458
+0.0450316
+0.0443282
+0.0437112
+0.0431966
+0.0427715
+0.0424502
+0.0422402
+0.0421432
+0.04216
+0.0422904
+0.0425138
+0.0428435
+0.0432699
+0.0438018
+0.0444355
+0.0451667
+0.0457645
+0.0450603
+0.0444529
+0.043946
+0.0435385
+0.0432383
+0.0430477
+0.042968
+0.0420791
+0.040005
+0.0379441
+0.0358985
+0.0338579
+0.0318171
+0.0297669
+0.0277053
+0.0256651
+0.0236518
+0.0216544
+0.0196476
+0.0176845
+0.0157166
+0.0137277
+0.0118103
+0.0100058
+0.00835761
+0.006942
+0.00560475
+0.00457546
+0.00396998
+0.0035038
+0.00359776
+0.00399603
+0.00473581
+0.00570311
+0.00678482
+0.00820558
+0.00954586
+0.0110204
+0.0126485
+0.0144263
+0.0162235
+0.0180489
+0.0199134
+0.0217254
+0.0236018
+0.0254381
+0.0272401
+0.0290595
+0.0300714
+0.0311956
+0.032365
+0.03363
+0.0349865
+0.0364231
+0.0378184
+0.0390577
+0.0403625
+0.0409
+0.041355
+0.0419197
+0.0425897
+0.0433602
+0.0442258
+0.0451812
+0.0462129
+0.0473116
+0.0484845
+0.0497263
+0.051032
+0.0515494
+0.0521261
+0.0527874
+0.0535103
+0.0542975
+0.0551022
+0.0537582
+0.0524711
+0.0512455
+0.0500857
+0.0489965
+0.0479814
+0.0470449
+0.0461933
+0.0454315
+0.0447346
+0.0441233
+0.0436135
+0.043209
+0.0429126
+0.0427098
+0.0426139
+0.0426305
+0.0427595
+0.0429998
+0.0433347
+0.0437704
+0.0443102
+0.0449392
+0.0456554
+0.046138
+0.0454395
+0.0448359
+0.0443284
+0.0439245
+0.043627
+0.0434381
+0.0433591
+0.0427898
+0.0407519
+0.0387274
+0.0366939
+0.0346289
+0.0325803
+0.0305514
+0.0285465
+0.0265383
+0.0245397
+0.0225427
+0.0205462
+0.0185785
+0.0166619
+0.0148006
+0.0130419
+0.0114026
+0.00985291
+0.00848465
+0.00729921
+0.00642287
+0.00585089
+0.00550648
+0.00559742
+0.00580321
+0.00636681
+0.00706285
+0.00793861
+0.00914264
+0.0104924
+0.0119824
+0.0135995
+0.015247
+0.0169556
+0.0187516
+0.0205254
+0.0222151
+0.0238658
+0.0255055
+0.0262901
+0.0272287
+0.0283049
+0.029482
+0.0307118
+0.0320421
+0.033462
+0.0349532
+0.0365151
+0.0381388
+0.0395374
+0.0409442
+0.0416343
+0.0421953
+0.042861
+0.0436266
+0.0444871
+0.045437
+0.046463
+0.047556
+0.048723
+0.0499589
+0.0512586
+0.0518606
+0.0523984
+0.0530214
+0.0537264
+0.0544699
+0.0554993
+0.0541651
+0.052888
+0.0516723
+0.0505223
+0.0494416
+0.0484342
+0.0475066
+0.0466634
+0.0459094
+0.0452436
+0.0446392
+0.0441354
+0.0437357
+0.0434429
+0.0432592
+0.0431747
+0.0431911
+0.0433184
+0.0435556
+0.0439005
+0.0443321
+0.0448652
+0.0454976
+0.0462253
+0.0466068
+0.0459103
+0.0453091
+0.0448071
+0.0444076
+0.0441134
+0.0439266
+0.0438486
+0.043599
+0.0415537
+0.0394998
+0.0374614
+0.0354411
+0.0334312
+0.0313738
+0.0293357
+0.0273213
+0.0253345
+0.0233779
+0.0214593
+0.0195835
+0.0177798
+0.0160726
+0.0144549
+0.0128319
+0.0113675
+0.0100713
+0.00899153
+0.00823869
+0.00777297
+0.00750426
+0.00742456
+0.00755805
+0.00798413
+0.00861242
+0.0093381
+0.0103847
+0.0115721
+0.0129122
+0.0144002
+0.0159594
+0.0175235
+0.0192049
+0.0209121
+0.0224443
+0.0229262
+0.0236024
+0.0244481
+0.0254548
+0.0265859
+0.0278325
+0.0291296
+0.0305281
+0.0320061
+0.0335621
+0.0351857
+0.0368681
+0.0386015
+0.0402505
+0.0417483
+0.042542
+0.0432024
+0.0439621
+0.0448161
+0.0457592
+0.0467859
+0.0478869
+0.049046
+0.0502739
+0.0515657
+0.0521704
+0.052652
+0.05308
+0.0535942
+0.0541899
+0.0555416
+0.0546569
+0.0533916
+0.052186
+0.0510449
+0.0499739
+0.0489775
+0.0480603
+0.047227
+0.0464822
+0.0458197
+0.0452399
+0.0447428
+0.0443486
+0.0440599
+0.0438787
+0.0438065
+0.0438438
+0.0439739
+0.0442077
+0.044548
+0.0449921
+0.0455189
+0.0461424
+0.0468601
+0.047138
+0.0464495
+0.0458554
+0.0453595
+0.0449649
+0.0446743
+0.0444899
+0.0444129
+0.0443768
+0.0423465
+0.0402886
+0.0382237
+0.0361735
+0.0341408
+0.0321289
+0.0301419
+0.0281851
+0.0262638
+0.0243819
+0.0225489
+0.0207717
+0.0190807
+0.0174391
+0.0157884
+0.0142712
+0.0129285
+0.0117204
+0.0107957
+0.0101656
+0.00969907
+0.00938241
+0.00921233
+0.00926606
+0.00959145
+0.0102209
+0.0109244
+0.011873
+0.0128705
+0.0140728
+0.0153866
+0.0167567
+0.0182553
+0.019862
+0.020166
+0.0204758
+0.021003
+0.0217391
+0.0226638
+0.0237408
+0.0249405
+0.026253
+0.0276243
+0.0290904
+0.0306378
+0.0322599
+0.0339458
+0.0356867
+0.0374732
+0.0392633
+0.0410922
+0.0427141
+0.0436476
+0.0443997
+0.0452455
+0.0461798
+0.0471973
+0.0482929
+0.0494574
+0.0506754
+0.0518454
+0.052096
+0.0524371
+0.0528667
+0.0533808
+0.0539638
+0.0556084
+0.0551565
+0.0539749
+0.0527816
+0.0516537
+0.0505955
+0.0496116
+0.0487064
+0.0478844
+0.0471462
+0.0464834
+0.0459156
+0.0454427
+0.0450546
+0.0447704
+0.0445922
+0.0445211
+0.0445578
+0.044702
+0.0449388
+0.0452736
+0.045711
+0.0462482
+0.0468808
+0.0475873
+0.047751
+0.0470844
+0.0464984
+0.0460094
+0.0456204
+0.0453341
+0.0451523
+0.0450765
+0.0450973
+0.04304
+0.0409966
+0.0389692
+0.0369604
+0.0349735
+0.0330123
+0.0310819
+0.0291882
+0.0273375
+0.0255348
+0.0237887
+0.0220776
+0.0203664
+0.0187319
+0.0171954
+0.0158138
+0.0145499
+0.0134878
+0.012678
+0.0119683
+0.011417
+0.0111258
+0.0109855
+0.0110463
+0.0113186
+0.0118287
+0.0126137
+0.0134698
+0.0143428
+0.0153789
+0.0165119
+0.017778
+0.0182369
+0.0180973
+0.0182219
+0.0185573
+0.0191374
+0.0199425
+0.0209467
+0.0221008
+0.0233848
+0.0247609
+0.0262104
+0.0277513
+0.0293693
+0.0310577
+0.0328055
+0.0345926
+0.0363924
+0.0382331
+0.040109
+0.0420153
+0.0438285
+0.04494
+0.0457757
+0.0466994
+0.0477059
+0.04879
+0.0499467
+0.0511675
+0.0517195
+0.0519707
+0.0523126
+0.0527415
+0.0532415
+0.053826
+0.0557612
+0.0553106
+0.0546375
+0.053459
+0.0523457
+0.0513018
+0.0503317
+0.0494397
+0.0486301
+0.0478918
+0.0472394
+0.0466808
+0.0462194
+0.0458545
+0.0455753
+0.0454002
+0.0453304
+0.0453665
+0.045508
+0.0457542
+0.0460908
+0.0465205
+0.0470485
+0.0476713
+0.0483854
+0.048449
+0.0477932
+0.047216
+0.0467345
+0.0463516
+0.0460698
+0.0458909
+0.0458163
+0.0458357
+0.0438131
+0.0418075
+0.0398214
+0.0378579
+0.0359206
+0.0340141
+0.0321439
+0.0303166
+0.0285392
+0.026804
+0.025043
+0.0233379
+0.0217117
+0.0201715
+0.0187533
+0.0174541
+0.016305
+0.0153638
+0.0145268
+0.0137309
+0.0132531
+0.0129838
+0.0128677
+0.012926
+0.0131342
+0.0135803
+0.014265
+0.015077
+0.0158581
+0.0167667
+0.017323
+0.0167556
+0.0163563
+0.0162005
+0.0163346
+0.0167058
+0.0173479
+0.0182322
+0.0193255
+0.0205621
+0.0219364
+0.0233791
+0.0249092
+0.0265257
+0.0282141
+0.0299677
+0.0317529
+0.033562
+0.0354143
+0.0373033
+0.0392237
+0.041171
+0.0430949
+0.0450007
+0.0463943
+0.0473059
+0.0482997
+0.0493708
+0.0505142
+0.0515097
+0.0516692
+0.0519207
+0.0522628
+0.0526917
+0.0531921
+0.0537772
+0.0559994
+0.0555507
+0.0551853
+0.0542063
+0.0531087
+0.0520801
+0.0511247
+0.0502468
+0.0494504
+0.0487245
+0.0480834
+0.0475348
+0.0470817
+0.0467271
+0.0464696
+0.0462979
+0.0462294
+0.0462648
+0.0464036
+0.046645
+0.0469875
+0.0474174
+0.0479354
+0.0485469
+0.0492483
+0.0492346
+0.0485894
+0.0480218
+0.0475484
+0.0471722
+0.0468953
+0.0467196
+0.0466463
+0.0452009
+0.0434805
+0.0418004
+0.0401607
+0.0385729
+0.0369735
+0.0351242
+0.0333163
+0.0315566
+0.0297815
+0.0280337
+0.0263386
+0.0247129
+0.0231733
+0.0217296
+0.0204038
+0.0191939
+0.0181506
+0.0171716
+0.0163072
+0.0156024
+0.0150818
+0.0147543
+0.0146645
+0.0145732
+0.0147684
+0.0150915
+0.0156164
+0.0162711
+0.0171819
+0.016203
+0.0154407
+0.014961
+0.0145626
+0.0143874
+0.0145302
+0.0149464
+0.0156608
+0.016635
+0.0178046
+0.019128
+0.0205947
+0.0221152
+0.0237391
+0.0254301
+0.0271867
+0.0289662
+0.0307832
+0.0326462
+0.0345476
+0.0364815
+0.0384429
+0.0404279
+0.042379
+0.0441356
+0.0457638
+0.0474372
+0.0489714
+0.0500301
+0.0511588
+0.0515519
+0.0517112
+0.0519625
+0.0523044
+0.0527329
+0.0532329
+0.0538175
+0.0563218
+0.0558757
+0.0555125
+0.0550307
+0.0539498
+0.0529376
+0.051998
+0.0511351
+0.0503527
+0.0496388
+0.0490097
+0.0484715
+0.0480273
+0.0476797
+0.0474308
+0.0472707
+0.0472037
+0.0472383
+0.0473743
+0.0476108
+0.0479464
+0.0483783
+0.0488863
+0.0494861
+0.0501744
+0.0501038
+0.04947
+0.0489126
+0.0484479
+0.0480787
+0.047807
+0.0476347
+0.0461809
+0.0443869
+0.0426301
+0.0409151
+0.0392374
+0.0376106
+0.0360436
+0.0345445
+0.0331225
+0.0317848
+0.0305341
+0.0293595
+0.0277355
+0.0261903
+0.0247299
+0.0233739
+0.0221286
+0.0209873
+0.019867
+0.0188961
+0.0181101
+0.0174543
+0.0169172
+0.0166171
+0.016386
+0.0162002
+0.0162621
+0.0164979
+0.0169294
+0.0167142
+0.0154247
+0.0143386
+0.0134836
+0.0129338
+0.0126737
+0.0126599
+0.0128224
+0.0133155
+0.0141127
+0.0151721
+0.016422
+0.0178075
+0.0193159
+0.0209295
+0.0226403
+0.0244278
+0.0262494
+0.0280713
+0.0299427
+0.0318549
+0.0338009
+0.0357696
+0.0377605
+0.0396792
+0.0412506
+0.0428763
+0.0445505
+0.0462658
+0.0480157
+0.0498005
+0.0516166
+0.0516869
+0.0518458
+0.0520964
+0.0524375
+0.0528649
+0.0533637
+0.0539469
+0.0567222
+0.0562793
+0.0559187
+0.0556421
+0.0548656
+0.0538706
+0.0529476
+0.0521004
+0.051331
+0.0506281
+0.0500115
+0.0494842
+0.0490491
+0.0487088
+0.0484653
+0.0483133
+0.0482477
+0.0482816
+0.0484147
+0.0486461
+0.0489746
+0.0493981
+0.0499137
+0.0505013
+0.051176
+0.0510523
+0.0504303
+0.0498837
+0.0494281
+0.0490663
+0.0488002
+0.0473404
+0.0454867
+0.0436642
+0.0418771
+0.0401299
+0.0384169
+0.0367538
+0.0351486
+0.0336096
+0.0321463
+0.0307662
+0.0294723
+0.028289
+0.0272309
+0.026313
+0.0255504
+0.0249245
+0.0238252
+0.0226337
+0.0215988
+0.0207089
+0.0199523
+0.0193128
+0.0188288
+0.0183414
+0.0179309
+0.0177523
+0.0178227
+0.017991
+0.0167208
+0.0151631
+0.0137786
+0.0125527
+0.0116103
+0.0109669
+0.0106559
+0.0107671
+0.0112471
+0.0118219
+0.0127131
+0.0138334
+0.0151233
+0.0166031
+0.0182116
+0.0199149
+0.0217058
+0.0235644
+0.025408
+0.0272862
+0.0292018
+0.0311502
+0.0331289
+0.0351328
+0.0368249
+0.0383881
+0.0400102
+0.0416844
+0.0434046
+0.0451628
+0.0469538
+0.0487775
+0.0506302
+0.0518397
+0.0519981
+0.052248
+0.0525881
+0.0530165
+0.0535313
+0.0541298
+0.057151
+0.0567369
+0.0563792
+0.0561049
+0.0558524
+0.0548753
+0.0539694
+0.0531385
+0.05238
+0.0516914
+0.0510876
+0.0505715
+0.0501459
+0.0498131
+0.049575
+0.049431
+0.049367
+0.0494
+0.0495301
+0.0497564
+0.0500775
+0.0504918
+0.0509968
+0.0515896
+0.0522503
+0.0520296
+0.0514157
+0.0508887
+0.0504504
+0.050096
+0.0486698
+0.0467662
+0.0448888
+0.0430411
+0.0412269
+0.039449
+0.0377059
+0.03601
+0.0343701
+0.0327946
+0.0312932
+0.0298679
+0.0285333
+0.0273094
+0.0262117
+0.0252568
+0.0244606
+0.0238032
+0.023332
+0.0230601
+0.0229946
+0.0225492
+0.0218512
+0.021094
+0.0203805
+0.0198626
+0.0194168
+0.0191868
+0.0191465
+0.0172548
+0.0154423
+0.0137403
+0.0121954
+0.0108747
+0.00977817
+0.00906304
+0.00872193
+0.00885736
+0.00947519
+0.0104193
+0.0114787
+0.0126298
+0.0140308
+0.0156022
+0.0172886
+0.0190777
+0.0209432
+0.0228067
+0.0246884
+0.0266174
+0.028584
+0.0305742
+0.0325342
+0.0340125
+0.0355644
+0.0371806
+0.0388532
+0.0405751
+0.0423404
+0.044141
+0.0459719
+0.047833
+0.0497209
+0.0516328
+0.0521914
+0.0524404
+0.0527792
+0.0532061
+0.053719
+0.0543155
+0.0576526
+0.0572493
+0.0569203
+0.0566486
+0.0564606
+0.0559477
+0.0550595
+0.0542453
+0.0534982
+0.0528242
+0.0522335
+0.0517288
+0.0513128
+0.0509876
+0.050755
+0.0506162
+0.0505564
+0.0505887
+0.0507157
+0.0509367
+0.0512504
+0.0516553
+0.0521491
+0.0527292
+0.0533829
+0.0530546
+0.0524527
+0.0519363
+0.0515046
+0.0501472
+0.0482027
+0.0462772
+0.0443763
+0.0425032
+0.0406619
+0.0388569
+0.0370935
+0.0353778
+0.0337159
+0.0321014
+0.0305509
+0.0290829
+0.0277105
+0.0264486
+0.0253136
+0.0243234
+0.0234696
+0.0227838
+0.0222929
+0.0220102
+0.0219436
+0.0220778
+0.0224239
+0.0224984
+0.0217319
+0.0210921
+0.0206659
+0.0202727
+0.0182686
+0.0162984
+0.0143803
+0.0125408
+0.0108261
+0.00931317
+0.00809063
+0.00723739
+0.00688445
+0.00705541
+0.00775298
+0.00891604
+0.0103407
+0.0116464
+0.0131525
+0.0148099
+0.016577
+0.0184353
+0.0203451
+0.0222193
+0.0241468
+0.0261158
+0.0281177
+0.0298
+0.0312541
+0.0327902
+0.0343973
+0.0360658
+0.0377878
+0.0395561
+0.0413649
+0.0432063
+0.0450751
+0.0469717
+0.048893
+0.050836
+0.0524755
+0.0527232
+0.0530602
+0.0534848
+0.0539951
+0.0545886
+0.0582323
+0.0578331
+0.0575146
+0.0572709
+0.057085
+0.0569828
+0.0562138
+0.0554166
+0.0546813
+0.0540221
+0.0534446
+0.0529515
+0.0525452
+0.0522277
+0.0520006
+0.0518651
+0.0518111
+0.0518427
+0.0519666
+0.0521823
+0.0524886
+0.052884
+0.0533664
+0.0539335
+0.0545728
+0.0541489
+0.0535593
+0.0530536
+0.0517626
+0.049782
+0.0478197
+0.0458781
+0.0439599
+0.0420683
+0.0402071
+0.0383807
+0.0365933
+0.0348433
+0.0331439
+0.0314964
+0.0299146
+0.0284138
+0.0270074
+0.0257109
+0.0245419
+0.0235192
+0.0226319
+0.0219199
+0.0214093
+0.0211147
+0.0210452
+0.0211847
+0.0215452
+0.0221177
+0.0228865
+0.022409
+0.0217298
+0.0196301
+0.0175528
+0.0155066
+0.0135059
+0.0115657
+0.00970144
+0.0079958
+0.0065607
+0.0055366
+0.00511152
+0.00539026
+0.00629531
+0.00767295
+0.00929818
+0.0110064
+0.0125893
+0.0142954
+0.0161041
+0.0179978
+0.0199189
+0.0218368
+0.0237953
+0.0257912
+0.0271442
+0.0285655
+0.0300794
+0.0316725
+0.0333335
+0.0350527
+0.0368221
+0.0386346
+0.0404846
+0.0423642
+0.0442686
+0.0461984
+0.0481505
+0.0501223
+0.0521116
+0.0530949
+0.0534295
+0.0538513
+0.0543581
+0.0549477
+0.0588879
+0.0584931
+0.0581782
+0.0579445
+0.0577858
+0.0576848
+0.0574219
+0.0566356
+0.0559136
+0.0552691
+0.0547048
+0.0542231
+0.0538264
+0.0535165
+0.0532949
+0.0531627
+0.0531206
+0.0531562
+0.0532771
+0.0534875
+0.0537864
+0.0541723
+0.0546434
+0.0551974
+0.0558232
+0.0553083
+0.0547312
+0.0535062
+0.0514994
+0.0495083
+0.0475347
+0.0455809
+0.0436497
+0.041744
+0.0398648
+0.0380118
+0.0361961
+0.0344241
+0.0327029
+0.031032
+0.0294253
+0.0278981
+0.0264643
+0.0251394
+0.0239352
+0.0228757
+0.0219809
+0.0212476
+0.0207204
+0.0204159
+0.0203441
+0.0204879
+0.0208604
+0.0214512
+0.022243
+0.0232012
+0.0213429
+0.0192016
+0.0170728
+0.0149618
+0.0128776
+0.0108354
+0.00886441
+0.00698077
+0.00527821
+0.00402618
+0.00354358
+0.00398944
+0.00519567
+0.00681629
+0.00863025
+0.0105679
+0.01233
+0.014057
+0.015879
+0.0177597
+0.0196956
+0.0216556
+0.0233126
+0.0245909
+0.0259683
+0.0274506
+0.0290226
+0.0306707
+0.0323831
+0.0341502
+0.035964
+0.0378177
+0.0397058
+0.0416206
+0.0435575
+0.0455174
+0.0474975
+0.0494954
+0.0515072
+0.0535298
+0.0538855
+0.0543037
+0.0548064
+0.0553912
+0.0596168
+0.0592269
+0.0589159
+0.0586851
+0.0585355
+0.0584605
+0.0584429
+0.0579083
+0.0572024
+0.0565726
+0.0560214
+0.0555512
+0.055164
+0.0548616
+0.0546455
+0.0545166
+0.0544756
+0.0545218
+0.0546404
+0.0548456
+0.0551372
+0.0555137
+0.0559734
+0.0565145
+0.0571303
+0.0565289
+0.055362
+0.0533416
+0.0513284
+0.0493304
+0.0473494
+0.0453876
+0.0434425
+0.0415177
+0.0396206
+0.0377552
+0.0359266
+0.0341323
+0.0323833
+0.030691
+0.0290654
+0.0275183
+0.0260636
+0.0247143
+0.0234862
+0.0224055
+0.0214944
+0.0207714
+0.0202297
+0.0199155
+0.0198396
+0.0200045
+0.0203891
+0.0209928
+0.0217822
+0.0227532
+0.0211476
+0.0189834
+0.0168244
+0.014673
+0.0125333
+0.0104144
+0.00833272
+0.00631155
+0.00440761
+0.00287579
+0.00229435
+0.00307978
+0.0046069
+0.00640285
+0.00832453
+0.0103461
+0.0122833
+0.014033
+0.0158585
+0.0177066
+0.019603
+0.020978
+0.0221686
+0.0234916
+0.0249299
+0.0264703
+0.0280973
+0.0297965
+0.0315564
+0.0333674
+0.0352215
+0.0371123
+0.0390345
+0.0409807
+0.0429465
+0.0449282
+0.0469275
+0.0489432
+0.0509734
+0.0530163
+0.0544259
+0.05484
+0.0553378
+0.055917
+0.0604164
+0.0600317
+0.0597249
+0.0594972
+0.0593496
+0.0592827
+0.0592897
+0.0592348
+0.0585449
+0.0579296
+0.0573915
+0.0569326
+0.0565549
+0.05626
+0.0560492
+0.0559236
+0.0558836
+0.0559294
+0.0560563
+0.0562563
+0.0565405
+0.0569078
+0.0573564
+0.0578845
+0.0584357
+0.05712
+0.0552898
+0.053265
+0.0512492
+0.0492428
+0.0472506
+0.0452768
+0.0433238
+0.0413946
+0.0394927
+0.0376137
+0.0357667
+0.0339606
+0.0322022
+0.0304999
+0.0288635
+0.027305
+0.0258383
+0.0244766
+0.0232359
+0.022143
+0.0212206
+0.020488
+0.0199385
+0.0196197
+0.0195426
+0.0197103
+0.0201166
+0.0207153
+0.021512
+0.0224947
+0.0211183
+0.0189475
+0.0167818
+0.0146199
+0.0124608
+0.0103146
+0.00819183
+0.00611725
+0.00416065
+0.00248174
+0.00179151
+0.00284608
+0.00460533
+0.00651302
+0.00846823
+0.0105048
+0.0125598
+0.0142559
+0.0160277
+0.017832
+0.0188601
+0.0199344
+0.0211705
+0.0225521
+0.0240466
+0.0256402
+0.0273166
+0.0290616
+0.0308634
+0.0327127
+0.034602
+0.0365249
+0.0384718
+0.0404343
+0.0424191
+0.0444233
+0.0464444
+0.0484802
+0.0505289
+0.0525891
+0.0546595
+0.0554418
+0.05595
+0.0565229
+0.0612839
+0.0609047
+0.0606023
+0.060378
+0.0602325
+0.0601665
+0.0601803
+0.0602668
+0.0599374
+0.0593366
+0.0588113
+0.0583635
+0.0579951
+0.0577076
+0.0575022
+0.0573797
+0.0573407
+0.0573854
+0.0575135
+0.0577156
+0.0579927
+0.0583508
+0.0587884
+0.0593037
+0.0582114
+0.0566611
+0.0551542
+0.0532543
+0.0512308
+0.0492215
+0.0472285
+0.0452536
+0.0432996
+0.0413693
+0.0394661
+0.0375858
+0.0357374
+0.0339297
+0.0321697
+0.0304655
+0.0288272
+0.0272665
+0.0257977
+0.0244337
+0.0231907
+0.0220956
+0.0211711
+0.0204368
+0.0198859
+0.0195662
+0.0194889
+0.0196571
+0.0200644
+0.0206646
+0.0214633
+0.0224481
+0.0212877
+0.0191361
+0.0169945
+0.0148635
+0.0127458
+0.0106571
+0.00860817
+0.00660574
+0.00477118
+0.00338981
+0.00290841
+0.00367505
+0.00521418
+0.0070665
+0.00894242
+0.0109339
+0.012965
+0.0147594
+0.0163426
+0.0170448
+0.0179585
+0.0190714
+0.02036
+0.0217931
+0.0233362
+0.0249752
+0.0266934
+0.0284766
+0.0303132
+0.0321942
+0.0341121
+0.0360459
+0.0380074
+0.0399927
+0.0419984
+0.0440218
+0.0460605
+0.0481125
+0.0501763
+0.0522504
+0.0543336
+0.0560723
+0.0565757
+0.0571586
+0.0622165
+0.061843
+0.0615452
+0.0613243
+0.0611811
+0.0611161
+0.0611297
+0.0612216
+0.0613764
+0.0607899
+0.0602772
+0.0598405
+0.0594812
+0.0592009
+0.0590007
+0.0588813
+0.0588433
+0.0588869
+0.0590118
+0.0592175
+0.0594901
+0.0598393
+0.0602661
+0.059444
+0.0578442
+0.0562837
+0.0547664
+0.053296
+0.0513039
+0.0492977
+0.0473078
+0.0453364
+0.0433861
+0.0414598
+0.039561
+0.0376855
+0.0358422
+0.0340401
+0.032286
+0.0305884
+0.028957
+0.0274038
+0.0259427
+0.0245867
+0.0233519
+0.0222647
+0.0213476
+0.0206112
+0.0200736
+0.0197569
+0.0196805
+0.019847
+0.0202375
+0.0208382
+0.0216373
+0.0226146
+0.0216751
+0.0195559
+0.0174543
+0.0153775
+0.0133369
+0.0113292
+0.00939593
+0.00760354
+0.00607801
+0.00502996
+0.00466559
+0.00525553
+0.0064367
+0.0080523
+0.00980735
+0.0116777
+0.0136173
+0.0150649
+0.015564
+0.0162997
+0.0172756
+0.0184298
+0.0197559
+0.0212198
+0.0228004
+0.0244753
+0.0262263
+0.0280392
+0.0299027
+0.0318069
+0.0337304
+0.0356847
+0.037665
+0.0396674
+0.0416887
+0.0437248
+0.0457742
+0.047836
+0.0499089
+0.0519914
+0.0540824
+0.056181
+0.0572775
+0.0578533
+0.0632113
+0.0628437
+0.0625507
+0.0623333
+0.0621924
+0.0621285
+0.0621418
+0.0622323
+0.0623996
+0.0622863
+0.0617861
+0.0613601
+0.0610098
+0.0607366
+0.0605414
+0.0604251
+0.0603881
+0.0604305
+0.0605522
+0.0607527
+0.0610219
+0.0613623
+0.0607983
+0.0591656
+0.057558
+0.0559896
+0.0544641
+0.0529853
+0.0514097
+0.0494708
+0.0474882
+0.0455246
+0.0435827
+0.0416655
+0.0397766
+0.0379117
+0.0360799
+0.0342903
+0.0325498
+0.0308666
+0.0292508
+0.027714
+0.0262702
+0.024932
+0.0237055
+0.0226213
+0.0217047
+0.0209777
+0.0204589
+0.0201483
+0.0200733
+0.0202366
+0.0206106
+0.0212007
+0.0219942
+0.0229699
+0.0222337
+0.0201732
+0.0181432
+0.0161533
+0.014203
+0.0123312
+0.0105826
+0.0090289
+0.00778777
+0.00693325
+0.00667362
+0.00711355
+0.00806609
+0.00940586
+0.0109866
+0.0127064
+0.0141793
+0.0144491
+0.0149827
+0.0157678
+0.0167828
+0.0180083
+0.0193579
+0.0208497
+0.0224565
+0.0241552
+0.0259278
+0.0277583
+0.0296341
+0.0315402
+0.0334755
+0.0354405
+0.0374305
+0.0394419
+0.0414714
+0.0435166
+0.0455745
+0.0476396
+0.0497155
+0.0518009
+0.0538946
+0.0559957
+0.0580481
+0.0586164
+0.0642653
+0.0639038
+0.0636157
+0.063402
+0.0632635
+0.0632007
+0.0632138
+0.0633027
+0.0634672
+0.0636832
+0.063334
+0.0629184
+0.0625768
+0.0623105
+0.0621202
+0.0620069
+0.0619708
+0.0620122
+0.0621308
+0.0623262
+0.0625895
+0.0622726
+0.0606053
+0.0589673
+0.0573542
+0.05578
+0.0542486
+0.0527638
+0.0512176
+0.0496408
+0.0477685
+0.0458169
+0.043888
+0.0419827
+0.0400976
+0.0382451
+0.0364302
+0.0346586
+0.0329376
+0.0312753
+0.0296817
+0.0281685
+0.0267492
+0.0254286
+0.0242238
+0.0231638
+0.0222696
+0.0215616
+0.0210572
+0.0207556
+0.0206828
+0.0208413
+0.0212047
+0.0217787
+0.0225518
+0.0235044
+0.0229882
+0.0210018
+0.0190564
+0.017155
+0.0153307
+0.0136149
+0.0120539
+0.0107157
+0.00967081
+0.00896625
+0.00876703
+0.00910639
+0.00988127
+0.0110057
+0.012415
+0.0138182
+0.013839
+0.0141238
+0.0146937
+0.0154955
+0.0165272
+0.0177703
+0.0191573
+0.0206591
+0.0222636
+0.0239611
+0.0257321
+0.027562
+0.0294407
+0.0313599
+0.0333126
+0.0352933
+0.0372923
+0.0393043
+0.0413344
+0.0433801
+0.0454394
+0.0475104
+0.0495917
+0.0516821
+0.0537804
+0.0558859
+0.0579976
+0.0594419
+0.0653758
+0.0650205
+0.0647373
+0.0645274
+0.0643913
+0.0643296
+0.0643424
+0.0644298
+0.0645914
+0.0648037
+0.0649135
+0.0645082
+0.0641751
+0.0639153
+0.0637299
+0.0636194
+0.0635843
+0.0636246
+0.0637402
+0.0639307
+0.0638426
+0.0621547
+0.0604912
+0.05885
+0.0572335
+0.0556559
+0.0541211
+0.0526326
+0.0511188
+0.0495388
+0.0480007
+0.0462087
+0.0442868
+0.0423909
+0.0405248
+0.0386927
+0.0368998
+0.0351519
+0.0334563
+0.0318211
+0.0302563
+0.0287733
+0.0273853
+0.026097
+0.0249245
+0.0238956
+0.0230298
+0.022346
+0.0218597
+0.0215692
+0.0214992
+0.0216517
+0.0220017
+0.0225555
+0.0233029
+0.0242259
+0.0239202
+0.0220119
+0.020151
+0.018363
+0.0166714
+0.0151085
+0.0137186
+0.0125466
+0.0116357
+0.0110571
+0.0108961
+0.011171
+0.0118112
+0.0127788
+0.0139798
+0.0137081
+0.0137219
+0.0140281
+0.0146232
+0.0154642
+0.0164712
+0.017666
+0.0190388
+0.0205538
+0.0221684
+0.0238691
+0.0256442
+0.0274794
+0.0293634
+0.0312873
+0.0332443
+0.0352288
+0.0372364
+0.0392636
+0.0413018
+0.0433491
+0.0454098
+0.0474821
+0.0495646
+0.051656
+0.0537554
+0.0558618
+0.0579744
+0.0600694
+0.06654
+0.0661909
+0.0659128
+0.0657065
+0.0655729
+0.0655123
+0.0655249
+0.0656107
+0.0657597
+0.0659767
+0.0662527
+0.0661323
+0.0658074
+0.0655542
+0.0653734
+0.0652657
+0.0652314
+0.0652707
+0.0653834
+0.0655138
+0.0637949
+0.0621056
+0.0604486
+0.058814
+0.0571966
+0.0556179
+0.054082
+0.0525924
+0.0511137
+0.0495335
+0.0479953
+0.0465051
+0.0447812
+0.0429072
+0.0410645
+0.0392577
+0.0374918
+0.0357728
+0.0341081
+0.0325057
+0.0309755
+0.0295286
+0.0281779
+0.0269275
+0.0257928
+0.0248
+0.0239669
+0.0233105
+0.022839
+0.0225612
+0.0224942
+0.0226401
+0.0229807
+0.0235114
+0.0242293
+0.0251184
+0.0250017
+0.0231738
+0.0214141
+0.0197408
+0.0181779
+0.0167562
+0.0155033
+0.0144527
+0.0136694
+0.0131804
+0.0130457
+0.0132761
+0.0138191
+0.0146609
+0.0141593
+0.0138911
+0.0139048
+0.0142534
+0.0148571
+0.0156577
+0.0166239
+0.0178084
+0.019171
+0.0206763
+0.022282
+0.0239747
+0.0257425
+0.0275712
+0.0294493
+0.0313679
+0.0333202
+0.0353004
+0.0373042
+0.0393279
+0.0413686
+0.0434239
+0.0454857
+0.0475547
+0.0496342
+0.0517228
+0.0538196
+0.0559235
+0.0580008
+0.0600187
+0.067755
+0.0674121
+0.0671391
+0.0669367
+0.0668055
+0.066746
+0.0667512
+0.0668215
+0.0669635
+0.0671766
+0.0674603
+0.0677883
+0.0674714
+0.0672244
+0.0670482
+0.0669431
+0.0669097
+0.066948
+0.0670579
+0.0655406
+0.0638224
+0.0621339
+0.0604776
+0.0588561
+0.0572435
+0.0556662
+0.0541316
+0.0526435
+0.0512025
+0.0496251
+0.0480898
+0.0466026
+0.0451727
+0.0435277
+0.0417125
+0.039935
+0.0382004
+0.0365148
+0.0348855
+0.0333205
+0.0318295
+0.0304232
+0.0291141
+0.0279057
+0.0268123
+0.0258587
+0.0250608
+0.0244339
+0.0239774
+0.0237129
+0.0236493
+0.023788
+0.0241195
+0.0246257
+0.025312
+0.0261642
+0.0262131
+0.0244759
+0.0228168
+0.0212543
+0.0198111
+0.0185064
+0.0173613
+0.0164299
+0.0157453
+0.0153227
+0.0152069
+0.0154051
+0.0158754
+0.0151892
+0.0146149
+0.0143552
+0.0144112
+0.0146849
+0.0152711
+0.01604
+0.0170107
+0.0181701
+0.0195074
+0.0209886
+0.0225855
+0.0242663
+0.026021
+0.0278356
+0.029697
+0.0316006
+0.0335393
+0.0355073
+0.0375
+0.0395137
+0.0415453
+0.0435923
+0.0456527
+0.0477246
+0.0498001
+0.0518821
+0.0539727
+0.0560272
+0.058031
+0.0600479
+0.0690181
+0.0686816
+0.0684136
+0.0682149
+0.0680816
+0.0680095
+0.068008
+0.0680771
+0.0682164
+0.0684256
+0.0687041
+0.0690484
+0.0691648
+0.0689238
+0.0687519
+0.0686495
+0.0686169
+0.0686543
+0.0673835
+0.0656405
+0.0639249
+0.0622393
+0.0605859
+0.0589673
+0.0573666
+0.0557988
+0.0542677
+0.0527831
+0.051349
+0.049813
+0.0482837
+0.0468026
+0.045379
+0.0440184
+0.0424637
+0.040719
+0.0390192
+0.0373706
+0.0357803
+0.0342562
+0.0328078
+0.0314453
+0.0301805
+0.0290166
+0.0279667
+0.0270538
+0.0262922
+0.025691
+0.025255
+0.025004
+0.0249436
+0.0250752
+0.0253957
+0.0258777
+0.0265317
+0.0273459
+0.0275421
+0.0258942
+0.024332
+0.0228732
+0.0215364
+0.020326
+0.0192892
+0.0184554
+0.0178487
+0.0174769
+0.0173756
+0.0175493
+0.0166211
+0.0158507
+0.0153012
+0.0150534
+0.0151068
+0.0153681
+0.0159292
+0.0166677
+0.0176311
+0.0187761
+0.0200731
+0.0215154
+0.0230758
+0.0247233
+0.0264477
+0.0282368
+0.0300792
+0.0319654
+0.0338884
+0.0358421
+0.0378217
+0.0398193
+0.0418361
+0.0438695
+0.0459175
+0.047978
+0.0500496
+0.0521309
+0.0541591
+0.0561441
+0.0581439
+0.0601569
+0.0703268
+0.0699966
+0.0697314
+0.0695232
+0.0693835
+0.0693128
+0.0693114
+0.0693791
+0.0695158
+0.0697212
+0.0699945
+0.070335
+0.0707298
+0.0706503
+0.0704826
+0.0703827
+0.070351
+0.069316
+0.0675518
+0.0658132
+0.0641023
+0.0624214
+0.060773
+0.0591595
+0.0575641
+0.0560019
+0.0544765
+0.0529978
+0.0515697
+0.0500941
+0.0485756
+0.0471037
+0.0456895
+0.0443385
+0.0430476
+0.0416037
+0.0399416
+0.0383327
+0.036784
+0.0353033
+0.0338996
+0.0325828
+0.0313639
+0.0302455
+0.0292398
+0.0283679
+0.0276426
+0.0270651
+0.0266516
+0.0264139
+0.0263567
+0.0264813
+0.0267851
+0.0272486
+0.0278704
+0.0286467
+0.0289753
+0.0274136
+0.0259431
+0.0245801
+0.0233254
+0.0222127
+0.0212681
+0.0205149
+0.0199705
+0.019639
+0.0195488
+0.0184554
+0.0174969
+0.0167709
+0.016256
+0.016023
+0.016034
+0.0162804
+0.0168111
+0.0175483
+0.0184658
+0.0195864
+0.020847
+0.0222406
+0.0237534
+0.025362
+0.0270457
+0.0287977
+0.0306063
+0.032462
+0.0343571
+0.0362856
+0.0382423
+0.0402231
+0.0422247
+0.0442442
+0.0462793
+0.0483279
+0.0503866
+0.0524076
+0.0543683
+0.0563459
+0.0583365
+0.0603381
+0.0716639
+0.0713398
+0.0710707
+0.0708664
+0.0707293
+0.07066
+0.0706586
+0.070725
+0.0708591
+0.0710606
+0.0713288
+0.071663
+0.0720542
+0.0724019
+0.0722383
+0.0721408
+0.0713284
+0.0695487
+0.0677905
+0.0660581
+0.0643538
+0.0626796
+0.0610382
+0.0594319
+0.057844
+0.0562897
+0.0547723
+0.0533018
+0.0518821
+0.0504525
+0.048958
+0.0475037
+0.0461018
+0.0447632
+0.0434853
+0.0422756
+0.0409605
+0.0393932
+0.0378879
+0.036452
+0.0350943
+0.0338241
+0.0326516
+0.0315788
+0.0306169
+0.0297854
+0.0290934
+0.0285414
+0.0281496
+0.0279247
+0.0278706
+0.0279884
+0.028276
+0.0287214
+0.029312
+0.030051
+0.0304986
+0.029019
+0.0276341
+0.0263476
+0.025178
+0.0241508
+0.0232849
+0.022599
+0.022103
+0.0216372
+0.0205926
+0.0194935
+0.0185887
+0.0179026
+0.017418
+0.0171898
+0.017188
+0.0174181
+0.0179152
+0.0186214
+0.0195119
+0.0205756
+0.021779
+0.0231239
+0.0245888
+0.0261494
+0.0277951
+0.0295109
+0.0312783
+0.0330963
+0.0349571
+0.0368542
+0.0387822
+0.0407368
+0.0427143
+0.0447117
+0.0467264
+0.0487563
+0.0507775
+0.0527107
+0.0546564
+0.0566185
+0.0585969
+0.0605899
+0.0730361
+0.0727173
+0.0724514
+0.072251
+0.0721166
+0.0720486
+0.0720472
+0.0721124
+0.0722439
+0.0724415
+0.0727046
+0.0730325
+0.0734201
+0.0738622
+0.0740171
+0.0734132
+0.0716208
+0.0698492
+0.0680988
+0.0663745
+0.0646785
+0.063013
+0.0613804
+0.0597834
+0.0582051
+0.0566607
+0.0551535
+0.0536934
+0.0522844
+0.0509025
+0.0494218
+0.0479821
+0.0465946
+0.0452706
+0.0440158
+0.0428334
+0.0417134
+0.0405445
+0.0390835
+0.0376932
+0.0363818
+0.0351582
+0.0340316
+0.0330038
+0.0320847
+0.0312921
+0.0306286
+0.0301049
+0.0297337
+0.0295208
+0.0294697
+0.0295811
+0.0298534
+0.0302811
+0.0308418
+0.0315451
+0.0320992
+0.0306969
+0.0293857
+0.0281718
+0.0270811
+0.0261288
+0.0251235
+0.0242249
+0.0234804
+0.0228913
+0.0217418
+0.0207121
+0.0198628
+0.0191983
+0.0187471
+0.0185287
+0.0185241
+0.0187378
+0.0192007
+0.0198552
+0.0207155
+0.021721
+0.0228834
+0.024167
+0.0255741
+0.0270854
+0.0286802
+0.0303468
+0.0320765
+0.0338597
+0.0356817
+0.0375422
+0.0394366
+0.0413602
+0.0433093
+0.0452804
+0.0472709
+0.0492742
+0.0511704
+0.0530892
+0.0550215
+0.0569711
+0.0589377
+0.0609195
+0.0744475
+0.0741321
+0.0738713
+0.0736748
+0.073543
+0.0734763
+0.0734749
+0.0735388
+0.0736678
+0.0738616
+0.0741197
+0.0744414
+0.0748251
+0.0752591
+0.0755589
+0.0737521
+0.0719666
+0.070204
+0.0684661
+0.066755
+0.0650725
+0.0634203
+0.0617985
+0.0602125
+0.0586458
+0.0571134
+0.0556185
+0.054171
+0.0527747
+0.0514152
+0.0499769
+0.0485541
+0.0471834
+0.0458763
+0.0446386
+0.0434761
+0.0423892
+0.0413301
+0.0403602
+0.039018
+0.0377527
+0.0365749
+0.0354934
+0.0345091
+0.0336311
+0.0328757
+0.0322398
+0.0317426
+0.0313908
+0.0311892
+0.0311408
+0.0312463
+0.0315042
+0.0319107
+0.0324476
+0.0331167
+0.0337141
+0.0323245
+0.0310124
+0.0297148
+0.0284935
+0.0273719
+0.0263758
+0.0255137
+0.0248037
+0.0241356
+0.0230376
+0.0220802
+0.0212827
+0.0206455
+0.0202266
+0.0200184
+0.0200053
+0.0202034
+0.0206334
+0.0212439
+0.02205
+0.023006
+0.0241146
+0.0253568
+0.0267013
+0.0281522
+0.0296897
+0.0313026
+0.0329823
+0.0347189
+0.0365044
+0.038332
+0.0401959
+0.0420886
+0.0440054
+0.0459467
+0.0479095
+0.0497754
+0.0516532
+0.0535547
+0.0554708
+0.0574052
+0.0593573
+0.0613256
+0.0758959
+0.0755839
+0.0753282
+0.0751355
+0.0750062
+0.0749409
+0.0749395
+0.0750021
+0.0751287
+0.0753187
+0.0755718
+0.0758873
+0.0762644
+0.076693
+0.0759499
+0.0741526
+0.072377
+0.0706247
+0.0688974
+0.0671972
+0.0655262
+0.0638865
+0.0622785
+0.0607053
+0.0591644
+0.0576459
+0.0561652
+0.0547321
+0.0533505
+0.052006
+0.0506025
+0.049217
+0.0478653
+0.0465774
+0.0453588
+0.0442152
+0.0431455
+0.0421054
+0.0411557
+0.0403008
+0.0391956
+0.0380625
+0.0370244
+0.0360846
+0.035245
+0.0345157
+0.0339105
+0.0334382
+0.0331044
+0.0329133
+0.0328675
+0.0329674
+0.0332119
+0.0335978
+0.0341185
+0.0347554
+0.0348667
+0.0334971
+0.0322102
+0.0309435
+0.0297622
+0.0286902
+0.027722
+0.0268921
+0.0262195
+0.0254981
+0.024452
+0.0235431
+0.0227995
+0.0222148
+0.0218261
+0.0216277
+0.0216075
+0.021791
+0.0221903
+0.022759
+0.0235132
+0.0244201
+0.0254673
+0.0266537
+0.027955
+0.029344
+0.0308221
+0.0323787
+0.0340052
+0.0356921
+0.0374312
+0.0392157
+0.0410394
+0.0428976
+0.0447858
+0.0467004
+0.0485383
+0.050367
+0.0522235
+0.054105
+0.0560023
+0.0579189
+0.0598543
+0.0618067
+0.0773792
+0.0770707
+0.0768199
+0.0766309
+0.0765042
+0.0764401
+0.0764388
+0.0765002
+0.0766243
+0.0768106
+0.0770588
+0.0773682
+0.0777382
+0.0781621
+0.0764018
+0.0746154
+0.072851
+0.0711104
+0.0693952
+0.0677075
+0.0660494
+0.0644231
+0.0628287
+0.0612697
+0.0597503
+0.058256
+0.0567911
+0.0553742
+0.054009
+0.0526778
+0.0513141
+0.0499603
+0.0486363
+0.0473694
+0.0461717
+0.0450488
+0.043998
+0.0429785
+0.0420486
+0.0412137
+0.0404102
+0.0396082
+0.0386118
+0.0377094
+0.0368971
+0.0361993
+0.0356227
+0.0351734
+0.0348562
+0.0346748
+0.0346313
+0.0347262
+0.0349584
+0.0353252
+0.0358224
+0.0364448
+0.0359944
+0.0346695
+0.0334356
+0.0322558
+0.0311155
+0.0300874
+0.0291607
+0.028373
+0.0277363
+0.0269688
+0.0259648
+0.0251107
+0.0244149
+0.0238738
+0.0235125
+0.0233319
+0.0233056
+0.0234758
+0.0238469
+0.0243771
+0.0250827
+0.0259396
+0.0269278
+0.0280525
+0.0292981
+0.0306343
+0.0320615
+0.0335634
+0.0351351
+0.0367702
+0.0384606
+0.0401994
+0.0419804
+0.0437987
+0.0456496
+0.0474715
+0.0492424
+0.0510458
+0.0528785
+0.0547375
+0.0566136
+0.0585102
+0.0604266
+0.0623612
+0.0788955
+0.0785904
+0.0783445
+0.0781592
+0.078035
+0.0779721
+0.0779708
+0.078031
+0.0781526
+0.0783353
+0.0785787
+0.0788822
+0.0792451
+0.0787087
+0.0769134
+0.0751392
+0.0733874
+0.0716598
+0.0699581
+0.0682843
+0.0666405
+0.0650274
+0.0634467
+0.0619032
+0.0603997
+0.0589394
+0.0574938
+0.0560946
+0.0547418
+0.0534168
+0.0521082
+0.0507756
+0.0494892
+0.0482447
+0.0470693
+0.0459682
+0.0449411
+0.0439436
+0.0430345
+0.0422178
+0.0414271
+0.040723
+0.0401263
+0.0393784
+0.0386012
+0.0379347
+0.037385
+0.0369571
+0.0366553
+0.0364829
+0.0364415
+0.0365317
+0.0367525
+0.0371015
+0.0375753
+0.0381691
+0.0372171
+0.0359372
+0.0347313
+0.0336154
+0.0325601
+0.0315704
+0.0306885
+0.0299409
+0.0293383
+0.0285164
+0.0275688
+0.0267659
+0.0261142
+0.0256091
+0.0252726
+0.0251116
+0.0250791
+0.0252374
+0.0255829
+0.0260748
+0.0267357
+0.0275451
+0.0284775
+0.0295433
+0.0307285
+0.0320051
+0.0333739
+0.0348268
+0.0363524
+0.0379351
+0.0395758
+0.0412676
+0.0430044
+0.0447811
+0.0465867
+0.0482906
+0.0500325
+0.0518085
+0.0536151
+0.0554494
+0.0573022
+0.0591767
+0.0610722
+0.062987
+0.0804413
+0.0801412
+0.0799
+0.0797184
+0.0795966
+0.079535
+0.0795337
+0.0795927
+0.0797119
+0.0798911
+0.0801297
+0.0804274
+0.0807833
+0.079266
+0.0774836
+0.0757227
+0.0739848
+0.0722715
+0.0705844
+0.0689225
+0.0672907
+0.0656914
+0.0641271
+0.0626004
+0.0611141
+0.0596712
+0.0582704
+0.0568897
+0.0555397
+0.0542342
+0.052981
+0.0516709
+0.0504178
+0.0491968
+0.0480447
+0.0469666
+0.0459665
+0.0449947
+0.0441073
+0.0432933
+0.04252
+0.0418344
+0.0412537
+0.0407752
+0.0403523
+0.0397152
+0.0391904
+0.0387825
+0.038495
+0.0383308
+0.0382915
+0.0383773
+0.0385876
+0.0389201
+0.039372
+0.0398338
+0.0385159
+0.0372758
+0.0361056
+0.0350334
+0.0340065
+0.0330773
+0.0322657
+0.0315749
+0.0309083
+0.0301438
+0.0292489
+0.0284935
+0.0278822
+0.0274097
+0.0270956
+0.0269268
+0.0268964
+0.027044
+0.0273668
+0.0278347
+0.0284547
+0.0292261
+0.0301071
+0.0311171
+0.0322445
+0.0334633
+0.0347747
+0.0361714
+0.0376438
+0.0391834
+0.0407747
+0.0424187
+0.0441103
+0.0458441
+0.0475222
+0.0491937
+0.0509047
+0.0526512
+0.0544299
+0.0562376
+0.0580653
+0.0599159
+0.0617888
+0.063682
+0.0820156
+0.0817213
+0.0814848
+0.0813067
+0.0811873
+0.0811269
+0.0811256
+0.0811835
+0.0813004
+0.081476
+0.08171
+0.0820019
+0.0816606
+0.0798749
+0.0781098
+0.0763647
+0.0746399
+0.0729387
+0.0712642
+0.0696183
+0.0680032
+0.0664211
+0.0648744
+0.0633657
+0.0618978
+0.0604736
+0.0590963
+0.0577398
+0.0564115
+0.0551266
+0.0539002
+0.0526422
+0.0514169
+0.0502265
+0.0490986
+0.0480437
+0.047056
+0.0461234
+0.0452473
+0.0444505
+0.0436909
+0.0430238
+0.0424595
+0.0419995
+0.04163
+0.0413569
+0.0410334
+0.0406439
+0.0403698
+0.0402132
+0.0401757
+0.0402576
+0.040458
+0.0407754
+0.0412069
+0.0411549
+0.0398799
+0.0386654
+0.0375383
+0.0365059
+0.0355177
+0.0346264
+0.033852
+0.033141
+0.0325349
+0.0318388
+0.030993
+0.030281
+0.0297066
+0.0292635
+0.0289643
+0.0287936
+0.0287652
+0.0289033
+0.0292055
+0.029652
+0.0302348
+0.0309619
+0.0318041
+0.0327618
+0.0338345
+0.034998
+0.0362539
+0.0375956
+0.0390143
+0.0405019
+0.0420509
+0.0436496
+0.0452952
+0.0469345
+0.0485326
+0.0501755
+0.0518549
+0.0535704
+0.0553196
+0.0570991
+0.0589
+0.0607252
+0.0625739
+0.064444
+0.0836177
+0.083329
+0.0830971
+0.0829224
+0.0828054
+0.0827461
+0.0827449
+0.0828017
+0.0829163
+0.0830885
+0.083318
+0.0836043
+0.0823033
+0.0805318
+0.0787815
+0.0770537
+0.0753466
+0.0736617
+0.072004
+0.0703755
+0.0687782
+0.0672143
+0.0656863
+0.0641967
+0.0627482
+0.0613437
+0.0599864
+0.0586594
+0.0573538
+0.0560905
+0.0548856
+0.0536854
+0.0524844
+0.0513291
+0.0502259
+0.0491851
+0.0482205
+0.0473108
+0.0464592
+0.0456767
+0.0449324
+0.0442841
+0.043736
+0.0432825
+0.042924
+0.0426751
+0.0425179
+0.042452
+0.0422749
+0.0421255
+0.0420897
+0.0421678
+0.0423592
+0.0426624
+0.043075
+0.0425318
+0.0412857
+0.0401205
+0.0390393
+0.0380351
+0.0370953
+0.0362418
+0.0354677
+0.0347746
+0.0342028
+0.0335913
+0.0327906
+0.0321186
+0.0315776
+0.0311611
+0.0308656
+0.0307033
+0.0306766
+0.0308061
+0.0310899
+0.0315168
+0.0320657
+0.0327523
+0.0335522
+0.0344614
+0.0354827
+0.0365994
+0.0378022
+0.0390908
+0.0404571
+0.0418935
+0.0433929
+0.0449491
+0.0465434
+0.0480547
+0.0496168
+0.0512249
+0.0528749
+0.0545621
+0.0562804
+0.0580305
+0.0598034
+0.0616019
+0.063425
+0.0652707
+0.0852459
+0.0849628
+0.0847353
+0.0845641
+0.0844493
+0.0843912
+0.08439
+0.0844456
+0.084558
+0.0847269
+0.084952
+0.0847753
+0.0829988
+0.0812426
+0.0795079
+0.0777962
+0.076106
+0.0744382
+0.0727982
+0.0711879
+0.0696092
+0.0680644
+0.0665559
+0.0650862
+0.063658
+0.062274
+0.0609374
+0.0596453
+0.0583631
+0.0571221
+0.0559394
+0.0547964
+0.0536202
+0.0525
+0.0514127
+0.0503956
+0.0494546
+0.048568
+0.0477408
+0.0469579
+0.0462343
+0.0456044
+0.0450724
+0.0446325
+0.044285
+0.0440438
+0.0439106
+0.0438492
+0.0438755
+0.0439644
+0.0440294
+0.0441041
+0.0442326
+0.0444605
+0.0447745
+0.0439261
+0.0427206
+0.0415957
+0.040558
+0.0396143
+0.038728
+0.0378903
+0.0371282
+0.0364661
+0.0359213
+0.0353656
+0.0346336
+0.033998
+0.0334873
+0.033091
+0.032803
+0.0326482
+0.0326232
+0.032745
+0.0330121
+0.0334203
+0.0339394
+0.0345887
+0.0353445
+0.0362087
+0.0371821
+0.0382562
+0.0394115
+0.0406491
+0.0419647
+0.0433511
+0.0448018
+0.0463107
+0.0477734
+0.049247
+0.0507724
+0.052345
+0.0539608
+0.0556159
+0.057307
+0.0590286
+0.0607724
+0.062543
+0.0643394
+0.0661597
+0.0868989
+0.0866212
+0.0863981
+0.0862301
+0.0861175
+0.0860606
+0.0860594
+0.086114
+0.0862242
+0.0863898
+0.0866106
+0.0855069
+0.0837459
+0.0820056
+0.0802874
+0.0785927
+0.07692
+0.0752703
+0.0736489
+0.0720575
+0.0704983
+0.0689735
+0.0674853
+0.0660363
+0.064629
+0.0632663
+0.0619512
+0.0606866
+0.0594288
+0.0582106
+0.0570504
+0.0559521
+0.0548124
+0.0537132
+0.0526632
+0.0516707
+0.0507534
+0.0498899
+0.0490869
+0.0483046
+0.0476014
+0.0469899
+0.0464737
+0.0460472
+0.0457104
+0.0454768
+0.0453479
+0.0453068
+0.0453205
+0.0454065
+0.0455119
+0.045523
+0.0456394
+0.0458603
+0.0461648
+0.0453833
+0.0442176
+0.0431317
+0.0421318
+0.0412242
+0.040401
+0.0395704
+0.0388376
+0.0382011
+0.0376805
+0.0371597
+0.036515
+0.0359127
+0.0354297
+0.0350423
+0.0347705
+0.0346226
+0.0345989
+0.0347138
+0.0349659
+0.035351
+0.0358428
+0.0364583
+0.0371795
+0.038002
+0.0389306
+0.0399578
+0.0410746
+0.0422636
+0.0435304
+0.0448685
+0.0462716
+0.0476893
+0.0490677
+0.0505036
+0.0519921
+0.0535289
+0.05511
+0.0567316
+0.0583904
+0.0600833
+0.0618038
+0.0635457
+0.0653146
+0.0670895
+0.0885752
+0.0883028
+0.0880839
+0.0879192
+0.0878088
+0.0877529
+0.0877518
+0.0878053
+0.0879134
+0.0880758
+0.0880525
+0.0862879
+0.0845432
+0.0828197
+0.0811187
+0.0794417
+0.0777873
+0.0761564
+0.0745542
+0.0729826
+0.0714436
+0.0699394
+0.0684722
+0.0670445
+0.0656588
+0.064318
+0.0630248
+0.0617822
+0.0605471
+0.0593518
+0.0582145
+0.0571385
+0.056056
+0.0549819
+0.0539709
+0.0530057
+0.0521119
+0.0512712
+0.0504802
+0.0497113
+0.0490283
+0.0484348
+0.0479342
+0.0475208
+0.0471946
+0.0469683
+0.0468435
+0.0468037
+0.0468204
+0.0469037
+0.0469826
+0.0469934
+0.0471061
+0.0473202
+0.0476153
+0.0468976
+0.0457704
+0.0447223
+0.0437588
+0.0428856
+0.0420949
+0.0412984
+0.0405894
+0.0399808
+0.0394779
+0.0389944
+0.0384292
+0.0378573
+0.0373952
+0.0370205
+0.0367633
+0.0366215
+0.0365992
+0.0367078
+0.0369463
+0.0373065
+0.0377714
+0.0383559
+0.0390512
+0.0398351
+0.0407219
+0.041705
+0.0427778
+0.043928
+0.0451481
+0.0464396
+0.0477966
+0.0490758
+0.0504164
+0.0518149
+0.0532668
+0.0547679
+0.0563142
+0.0579021
+0.0595282
+0.0611896
+0.0628835
+0.0646072
+0.0663343
+0.0680707
+0.0902736
+0.0900062
+0.0897916
+0.0896299
+0.0895217
+0.0894669
+0.0894658
+0.0895182
+0.0896242
+0.0897836
+0.0888652
+0.087117
+0.0853892
+0.0836831
+0.0820001
+0.0803415
+0.078706
+0.0770945
+0.0755122
+0.073961
+0.0724428
+0.0709597
+0.0695141
+0.0681082
+0.0667447
+0.0654261
+0.0641552
+0.0629246
+0.061723
+0.0605509
+0.0594365
+0.058383
+0.0573564
+0.0563072
+0.0553205
+0.0543961
+0.0535255
+0.0527075
+0.0519201
+0.0511728
+0.0505096
+0.0499337
+0.0494483
+0.0490481
+0.048732
+0.0485129
+0.0483921
+0.0483536
+0.0483731
+0.0484537
+0.0485076
+0.0485181
+0.0486273
+0.0488347
+0.0491207
+0.0484636
+0.0473737
+0.0463619
+0.0454331
+0.044592
+0.0438329
+0.0430683
+0.0423821
+0.0417996
+0.0413128
+0.0408642
+0.0403715
+0.0398275
+0.0393816
+0.0390213
+0.0387774
+0.0386413
+0.0386201
+0.0387231
+0.0389492
+0.0392854
+0.0397271
+0.0402832
+0.0409492
+0.0417027
+0.0425505
+0.0434923
+0.0445221
+0.0456338
+0.0468125
+0.0480592
+0.0492791
+0.0505194
+0.0518226
+0.0531841
+0.0545997
+0.056065
+0.0575765
+0.0591305
+0.0607238
+0.0623534
+0.0640164
+0.0657104
+0.0673977
+0.0691074
+0.0919928
+0.0917304
+0.0915198
+0.0913612
+0.091255
+0.0912013
+0.0912002
+0.0912516
+0.0913556
+0.0914748
+0.0897239
+0.0879928
+0.0862826
+0.0845945
+0.08293
+0.0812904
+0.0796744
+0.0780829
+0.076521
+0.0749907
+0.0734937
+0.0720323
+0.0706086
+0.069225
+0.0678839
+0.0665878
+0.0653396
+0.0641172
+0.0629429
+0.0618044
+0.060713
+0.059682
+0.0587098
+0.0576854
+0.0567226
+0.0558292
+0.0549902
+0.0541942
+0.053402
+0.0526758
+0.0520317
+0.0514729
+0.0510021
+0.0506218
+0.0503179
+0.0501057
+0.0499887
+0.0499514
+0.0499736
+0.0500517
+0.0500821
+0.0500922
+0.050198
+0.0503989
+0.0506762
+0.0500765
+0.0490225
+0.0480454
+0.0471498
+0.0463367
+0.0456099
+0.0448689
+0.0442107
+0.0436526
+0.043181
+0.0427644
+0.042338
+0.0418197
+0.0413879
+0.0410415
+0.0408097
+0.0406787
+0.0406586
+0.0407564
+0.0409713
+0.0412856
+0.0417062
+0.0422363
+0.0428719
+0.0436004
+0.044412
+0.0453151
+0.0463043
+0.0473743
+0.0485187
+0.0496673
+0.0508114
+0.0520152
+0.0532818
+0.054607
+0.0559865
+0.0574165
+0.0588933
+0.0604135
+0.0619738
+0.0635713
+0.0652033
+0.0668617
+0.0685147
+0.0701962
+0.0937316
+0.0934741
+0.0932675
+0.0931119
+0.0930076
+0.0929549
+0.0929538
+0.0930043
+0.0931064
+0.0923612
+0.0906276
+0.088914
+0.0872219
+0.0855523
+0.0839068
+0.0822867
+0.0806906
+0.0791195
+0.0775786
+0.0760695
+0.0745942
+0.0731548
+0.0717534
+0.0703922
+0.0690738
+0.0678005
+0.0665652
+0.0653615
+0.06421
+0.063109
+0.0620406
+0.0610321
+0.0600866
+0.0591126
+0.0581734
+0.0573027
+0.0564997
+0.0557142
+0.0549312
+0.0542255
+0.0536
+0.0530577
+0.0526011
+0.0522325
+0.0519392
+0.0517337
+0.0516205
+0.0515929
+0.0516175
+0.051693
+0.0516872
+0.051697
+0.0517995
+0.0519942
+0.0522606
+0.051732
+0.0507124
+0.0497684
+0.0489041
+0.0481178
+0.0474198
+0.0467029
+0.0460709
+0.0455339
+0.0450782
+0.0446913
+0.0442984
+0.043826
+0.0434089
+0.0430784
+0.0428576
+0.0427313
+0.0427122
+0.0428053
+0.0430094
+0.0433043
+0.0437054
+0.0442116
+0.0448192
+0.0455242
+0.0463023
+0.0471692
+0.0481204
+0.0491508
+0.0502405
+0.0512817
+0.0523906
+0.0535588
+0.0547898
+0.0560793
+0.0574235
+0.0588186
+0.060261
+0.0617475
+0.0632749
+0.0648404
+0.0664412
+0.068058
+0.0696827
+0.0713345
+0.095489
+0.0952363
+0.0950335
+0.0948808
+0.0947785
+0.0947267
+0.0947257
+0.0947752
+0.0948754
+0.0932908
+0.0915747
+0.0898792
+0.0882056
+0.086555
+0.0849289
+0.0833286
+0.0817529
+0.0802027
+0.0786829
+0.0771954
+0.075742
+0.0743249
+0.0729459
+0.0716075
+0.0703118
+0.0690614
+0.0678353
+0.0666545
+0.0655258
+0.0644511
+0.0634161
+0.0624298
+0.0615058
+0.0605854
+0.0596694
+0.0588208
+0.0580394
+0.0572655
+0.0565039
+0.0558181
+0.0552107
+0.0546844
+0.0542415
+0.0538836
+0.0535965
+0.0533974
+0.0532876
+0.0532654
+0.0532987
+0.0533719
+0.0533304
+0.0533399
+0.0534392
+0.053628
+0.0538803
+0.0534259
+0.0524393
+0.051527
+0.0506897
+0.0499316
+0.0492592
+0.0485664
+0.047959
+0.0474382
+0.0470009
+0.0466414
+0.0462651
+0.0458449
+0.0454452
+0.0451297
+0.044919
+0.044797
+0.0447788
+0.0448676
+0.0450591
+0.045339
+0.0457222
+0.0462063
+0.046788
+0.0474638
+0.048218
+0.0490511
+0.0499664
+0.0509595
+0.0519294
+0.0529375
+0.0540124
+0.0551463
+0.0563425
+0.0575973
+0.0589069
+0.0602676
+0.0616762
+0.0631294
+0.0646242
+0.0661577
+0.0677274
+0.069303
+0.0708991
+0.0725212
+0.097264
+0.097016
+0.0968168
+0.096667
+0.0965666
+0.0965158
+0.0965147
+0.0965634
+0.0959801
+0.094262
+0.0925639
+0.0908869
+0.0892322
+0.087601
+0.0859946
+0.0844146
+0.0828595
+0.0813304
+0.0798321
+0.0783664
+0.0769352
+0.0755404
+0.074184
+0.0728683
+0.0715955
+0.0703586
+0.0691515
+0.0679936
+0.0668875
+0.0658351
+0.064835
+0.0638721
+0.0629692
+0.0621006
+0.0612073
+0.0603803
+0.0596115
+0.0588574
+0.0581167
+0.0574501
+0.0568602
+0.0563492
+0.0559195
+0.0555697
+0.0552909
+0.0550979
+0.0549916
+0.0549701
+0.0550148
+0.0550857
+0.0550117
+0.0550209
+0.0551173
+0.0553003
+0.0555346
+0.0551549
+0.0541997
+0.0533175
+0.052506
+0.0517745
+0.0511264
+0.0504551
+0.0498707
+0.0493662
+0.0489462
+0.0486121
+0.0482511
+0.0478788
+0.0474954
+0.0471936
+0.0469921
+0.0468741
+0.0468566
+0.0469415
+0.0471198
+0.0473876
+0.0477544
+0.0482181
+0.0487758
+0.0494244
+0.0501562
+0.0509576
+0.0518393
+0.0527515
+0.0536547
+0.0546309
+0.0556731
+0.0567739
+0.0579366
+0.0591576
+0.0604333
+0.0617604
+0.0631357
+0.064556
+0.0660185
+0.0675204
+0.0690591
+0.070594
+0.0721616
+0.0737538
+0.0990557
+0.0988121
+0.0986166
+0.0984695
+0.0983709
+0.0983211
+0.09832
+0.0983678
+0.0969739
+0.0952738
+0.093594
+0.0919358
+0.0903003
+0.0886887
+0.0871025
+0.0855393
+0.0840018
+0.0824939
+0.0810171
+0.0795733
+0.0781641
+0.0767916
+0.0754578
+0.0741647
+0.0729145
+0.0716954
+0.0705113
+0.0693761
+0.0682923
+0.0672619
+0.0662834
+0.0653536
+0.0644715
+0.0636291
+0.0627839
+0.061978
+0.0612201
+0.0604867
+0.0597663
+0.0591183
+0.0585451
+0.058049
+0.057632
+0.0572895
+0.0570191
+0.056832
+0.0567289
+0.0567081
+0.0567578
+0.0568035
+0.0567279
+0.0567368
+0.0568302
+0.0570078
+0.0572145
+0.0569156
+0.0559905
+0.0551343
+0.0543499
+0.0536434
+0.0530076
+0.05236
+0.0517971
+0.0513153
+0.0509113
+0.0505991
+0.0502541
+0.0499261
+0.0495575
+0.0492684
+0.0490754
+0.048961
+0.0489443
+0.0490256
+0.0491918
+0.0494483
+0.0498
+0.0502448
+0.0507802
+0.0514036
+0.0521116
+0.0528862
+0.0537215
+0.0545274
+0.0554082
+0.0563587
+0.0573695
+0.0584383
+0.0595685
+0.0607567
+0.0619996
+0.0632939
+0.0646365
+0.0660246
+0.0674552
+0.0689258
+0.0704172
+0.0719219
+0.0734612
+0.0750302
+0.088874
+0.0869264
+0.0849906
+0.0830674
+0.0811563
+0.0792541
+0.0773666
+0.0754954
+0.0736419
+0.0718074
+0.0699934
+0.0682015
+0.0664335
+0.0646911
+0.0629746
+0.0612884
+0.0596315
+0.0580022
+0.056411
+0.054861
+0.0533561
+0.0518999
+0.0504969
+0.0491514
+0.0478685
+0.0466532
+0.0455109
+0.0444474
+0.0434683
+0.0425779
+0.0417629
+0.0410487
+0.0404407
+0.0399438
+0.0395621
+0.039299
+0.0391569
+0.039137
+0.0392397
+0.0394639
+0.0398075
+0.0402676
+0.0408373
+0.0414955
+0.042257
+0.0431164
+0.0440681
+0.0451062
+0.0462249
+0.0474185
+0.0486814
+0.0500084
+0.0513946
+0.0528353
+0.0543261
+0.0558631
+0.0574425
+0.059061
+0.0607153
+0.0624028
+0.0641206
+0.0658665
+0.0676384
+0.069307
+0.070992
+0.0725143
+0.0740097
+0.0755391
+0.0770978
+0.0786782
+0.0802872
+0.0819232
+0.0835847
+0.0852399
+0.0868736
+0.0885313
+0.0902118
+0.0910858
+0.0912196
+0.0914057
+0.0916436
+0.0919132
+0.092234
+0.0926029
+0.0930145
+0.0934757
+0.0939858
+0.0945382
+0.0951338
+0.0957757
+0.0964631
+0.097195
+0.0979705
+0.0987885
+0.0996287
+0.100489
+0.101382
+0.102314
+0.103285
+0.104292
+0.087925
+0.0859558
+0.0839977
+0.0820512
+0.0801174
+0.078196
+0.0762838
+0.074387
+0.0725064
+0.0706424
+0.0687976
+0.0669737
+0.0651724
+0.0633956
+0.0616431
+0.0599194
+0.0582271
+0.056569
+0.0549374
+0.0533447
+0.0517957
+0.0502944
+0.0488453
+0.047453
+0.0461229
+0.0448603
+0.0436712
+0.0425616
+0.0415381
+0.0406071
+0.0397608
+0.03901
+0.0383697
+0.0378456
+0.0374425
+0.0371644
+0.0370141
+0.0369931
+0.0371017
+0.0373387
+0.0377018
+0.0381872
+0.0387856
+0.0394778
+0.0402775
+0.0411783
+0.0421738
+0.0432574
+0.0444226
+0.0456633
+0.0469735
+0.0483474
+0.0497799
+0.0512659
+0.0528011
+0.0543812
+0.0560024
+0.0576613
+0.0593547
+0.0610797
+0.0628337
+0.0646145
+0.0663154
+0.0680039
+0.0695713
+0.0710611
+0.0725865
+0.0741452
+0.0757253
+0.0773337
+0.0789701
+0.0806329
+0.0822949
+0.0839288
+0.0855875
+0.0872697
+0.088974
+0.0897847
+0.0899204
+0.0901092
+0.0903508
+0.0906426
+0.0909781
+0.0913634
+0.0917818
+0.0922496
+0.0927669
+0.0933314
+0.0939348
+0.0945851
+0.0952813
+0.0960225
+0.0968076
+0.0976355
+0.0984803
+0.0993432
+0.100247
+0.101189
+0.10217
+0.103189
+0.0870207
+0.0850307
+0.0830507
+0.0810815
+0.079124
+0.0771791
+0.0752467
+0.0733231
+0.0714149
+0.0695234
+0.0676499
+0.065796
+0.0639616
+0.0621502
+0.0603617
+0.0586003
+0.0568688
+0.0551699
+0.0535068
+0.0518766
+0.0502824
+0.0487345
+0.0472375
+0.0457964
+0.0444167
+0.0431042
+0.0418652
+0.0407065
+0.0396351
+0.0386582
+0.0377797
+0.0369887
+0.0363128
+0.0357585
+0.0353316
+0.0350368
+0.0348773
+0.034855
+0.0349703
+0.0352216
+0.0356063
+0.0361199
+0.0367498
+0.0374797
+0.038321
+0.0392668
+0.0403095
+0.0414418
+0.0426567
+0.0439473
+0.0453071
+0.04673
+0.0482106
+0.0497436
+0.0513243
+0.0529485
+0.0546122
+0.0563121
+0.0580448
+0.0598077
+0.0615979
+0.063334
+0.0650261
+0.0666424
+0.0681258
+0.0696465
+0.0712022
+0.0727797
+0.0743873
+0.0760241
+0.0776881
+0.0793617
+0.0809954
+0.0826549
+0.0843387
+0.0860453
+0.087768
+0.0884648
+0.088655
+0.0888479
+0.0890928
+0.0893824
+0.0897226
+0.0901148
+0.0905582
+0.0910452
+0.0915761
+0.0921492
+0.092769
+0.0934274
+0.0941322
+0.0948823
+0.0956768
+0.0965144
+0.0973604
+0.0982332
+0.0991467
+0.1001
+0.101091
+0.102112
+0.0861608
+0.0841524
+0.0821512
+0.08016
+0.0781794
+0.0762103
+0.0742537
+0.07231
+0.0703743
+0.068454
+0.0665504
+0.064665
+0.0627994
+0.0609554
+0.0591337
+0.0573347
+0.0555637
+0.0538236
+0.0521176
+0.050449
+0.0488205
+0.0472247
+0.0456783
+0.0441864
+0.0427547
+0.0413895
+0.0400976
+0.0388862
+0.0377632
+0.0367366
+0.0358148
+0.0349877
+0.0342724
+0.0336846
+0.0332311
+0.0329174
+0.0327476
+0.0327239
+0.0328466
+0.0331141
+0.0335229
+0.034068
+0.0347328
+0.0355042
+0.0363913
+0.0373858
+0.0384795
+0.0396642
+0.0409319
+0.0422751
+0.043687
+0.045161
+0.0466914
+0.0482726
+0.0498999
+0.051569
+0.0532759
+0.055017
+0.0567893
+0.0585899
+0.0603643
+0.0620602
+0.0637294
+0.0652055
+0.0667209
+0.068273
+0.0698471
+0.0714535
+0.0730903
+0.0747554
+0.0764414
+0.0780748
+0.0797349
+0.0814201
+0.0831273
+0.0848513
+0.0865964
+0.0871008
+0.0872938
+0.0875414
+0.0878428
+0.0881585
+0.0885035
+0.088901
+0.0893505
+0.0898512
+0.0903997
+0.0909899
+0.0916287
+0.0923072
+0.0930205
+0.0937795
+0.0945832
+0.0954304
+0.0962774
+0.0971598
+0.0980833
+0.0990454
+0.100039
+0.10107
+0.0853396
+0.0833147
+0.0812983
+0.0792883
+0.0772853
+0.0752929
+0.0733118
+0.0713429
+0.0693872
+0.0674388
+0.0655058
+0.0635894
+0.0616913
+0.0598131
+0.057957
+0.0561249
+0.0543156
+0.0525342
+0.0507849
+0.049071
+0.0473964
+0.0457653
+0.0441727
+0.0426281
+0.0411423
+0.0397217
+0.0383736
+0.0371061
+0.0359274
+0.0348468
+0.0338736
+0.0330109
+0.0322518
+0.0316265
+0.031143
+0.0308081
+0.0306266
+0.0306012
+0.0307324
+0.0310181
+0.0314542
+0.0320345
+0.0327382
+0.0335555
+0.0344927
+0.0355404
+0.0366892
+0.0379298
+0.0392535
+0.0406523
+0.0421186
+0.0436456
+0.0452273
+0.0468579
+0.0485327
+0.0502472
+0.0519975
+0.0537801
+0.0555918
+0.0574083
+0.0591077
+0.0608348
+0.0623024
+0.0638115
+0.0653586
+0.0669293
+0.0685341
+0.0701706
+0.0718366
+0.0735301
+0.0751684
+0.0768288
+0.0785153
+0.0802213
+0.0819479
+0.0836962
+0.0854649
+0.0857709
+0.085967
+0.0862183
+0.0865244
+0.0868846
+0.0872984
+0.0877252
+0.0881807
+0.088688
+0.0892462
+0.0898544
+0.0905032
+0.091198
+0.0919308
+0.0927086
+0.0935282
+0.0943827
+0.0952324
+0.0961245
+0.0970551
+0.0980198
+0.0990236
+0.100065
+0.0845629
+0.0825189
+0.0804826
+0.0784546
+0.0764356
+0.0744263
+0.0724239
+0.0704302
+0.0684486
+0.06648
+0.0645186
+0.062572
+0.060642
+0.0587304
+0.0568389
+0.0549696
+0.0531249
+0.051306
+0.0495133
+0.0477538
+0.0460312
+0.0443501
+0.0427151
+0.0411276
+0.0395854
+0.0381068
+0.0366995
+0.035372
+0.0341336
+0.0329942
+0.0319646
+0.0310556
+0.0302548
+0.0295873
+0.02907
+0.0287109
+0.028516
+0.0284888
+0.0286297
+0.0289362
+0.0294031
+0.0300231
+0.0307703
+0.0316384
+0.0326308
+0.0337364
+0.0349445
+0.0362448
+0.0376279
+0.0390849
+0.0406078
+0.0421896
+0.0438238
+0.0455048
+0.0472276
+0.0489878
+0.0507815
+0.0526053
+0.0544545
+0.056171
+0.0579067
+0.059419
+0.0609208
+0.0624616
+0.0640285
+0.0656311
+0.0672668
+0.0689334
+0.0706286
+0.0722779
+0.0739383
+0.075625
+0.0773302
+0.0790593
+0.0808107
+0.0825831
+0.0843343
+0.084477
+0.084676
+0.0849312
+0.0852419
+0.0856075
+0.0860274
+0.0864943
+0.0870096
+0.0875641
+0.0881294
+0.0887453
+0.0894105
+0.0901204
+0.0908667
+0.0916543
+0.0924862
+0.0933622
+0.0942268
+0.095124
+0.0960582
+0.0970328
+0.0980467
+0.0990987
+0.0838363
+0.0817741
+0.0797188
+0.0776708
+0.0756309
+0.0735996
+0.0715778
+0.0695661
+0.0675656
+0.0655728
+0.0635907
+0.0616157
+0.0596549
+0.0577105
+0.0557844
+0.0538786
+0.0519952
+0.0501367
+0.0483061
+0.0465025
+0.0447318
+0.0429998
+0.0413115
+0.0396722
+0.0380885
+0.036552
+0.0350824
+0.0336912
+0.0323885
+0.0311855
+0.0300941
+0.0291268
+0.0282866
+0.0275715
+0.0270155
+0.0266287
+0.0264185
+0.0263891
+0.0265412
+0.0268715
+0.0273737
+0.0280385
+0.0288345
+0.0297591
+0.0308121
+0.0319806
+0.0332526
+0.0346166
+0.0360621
+0.0375799
+0.0391614
+0.0407992
+0.042487
+0.0442188
+0.0459898
+0.0477956
+0.0496322
+0.0514926
+0.0532525
+0.0549931
+0.0565583
+0.0580514
+0.0595849
+0.061147
+0.0627467
+0.0643812
+0.066048
+0.0677445
+0.0694053
+0.0710653
+0.0727493
+0.0744558
+0.0761871
+0.0779415
+0.0797175
+0.0815137
+0.0830724
+0.0832206
+0.0834226
+0.0836816
+0.0839969
+0.084368
+0.084794
+0.085264
+0.0857867
+0.0863618
+0.0869883
+0.0876651
+0.0883502
+0.0890723
+0.0898341
+0.0906335
+0.0914784
+0.092367
+0.0932559
+0.0941576
+0.0951013
+0.0960856
+0.0970892
+0.0980852
+0.083161
+0.0810817
+0.0790083
+0.0769415
+0.0748817
+0.0728295
+0.0707856
+0.0687508
+0.0667259
+0.0647117
+0.0627095
+0.0607202
+0.0587328
+0.0567569
+0.0547973
+0.0528559
+0.0509346
+0.049036
+0.0471627
+0.0453179
+0.0435039
+0.041721
+0.0399787
+0.0382824
+0.0366387
+0.0350548
+0.0335304
+0.032072
+0.0307007
+0.0294288
+0.0282696
+0.0272376
+0.0263477
+0.0255844
+0.0249842
+0.0245655
+0.0243375
+0.0243056
+0.0244705
+0.0248284
+0.0253711
+0.026087
+0.0269378
+0.0279253
+0.0290448
+0.0302816
+0.031622
+0.0330533
+0.0345643
+0.036145
+0.0377866
+0.0394816
+0.0412233
+0.043006
+0.044825
+0.0466727
+0.0485476
+0.0503555
+0.0521008
+0.053724
+0.0552068
+0.0567316
+0.0582878
+0.0598837
+0.0615163
+0.0631827
+0.0648802
+0.0665529
+0.0682119
+0.0698925
+0.0716001
+0.0733333
+0.0750905
+0.0768699
+0.0786701
+0.0804897
+0.08183
+0.0819883
+0.0822047
+0.0824713
+0.0827912
+0.0831676
+0.0835968
+0.0840728
+0.0846029
+0.085186
+0.0858211
+0.086507
+0.0872425
+0.0880264
+0.0888249
+0.0896503
+0.0905056
+0.0914042
+0.0922602
+0.0931116
+0.0939971
+0.0949244
+0.0958929
+0.0969012
+0.0825359
+0.0804429
+0.0783527
+0.0762681
+0.0741896
+0.0721177
+0.0700531
+0.0679964
+0.0659483
+0.0639096
+0.0618814
+0.0598646
+0.0578604
+0.0558703
+0.0538812
+0.0519055
+0.0499478
+0.0480101
+0.0460952
+0.0442058
+0.0423455
+0.0405183
+0.038724
+0.0369703
+0.0352654
+0.0336168
+0.0320334
+0.0305242
+0.02908
+0.0277338
+0.0265006
+0.0253968
+0.02444
+0.0236333
+0.0229823
+0.0225263
+0.0222775
+0.0222426
+0.0224227
+0.0228128
+0.0234023
+0.0241766
+0.025089
+0.0261465
+0.0273389
+0.0286495
+0.0300627
+0.0315648
+0.0331438
+0.034789
+0.0364917
+0.0382441
+0.0400396
+0.041871
+0.0437323
+0.0456229
+0.0474839
+0.0492335
+0.0509204
+0.052391
+0.0539052
+0.0554542
+0.0570453
+0.0586751
+0.0603403
+0.0620383
+0.0637234
+0.0653777
+0.0670571
+0.0687653
+0.0705002
+0.0722598
+0.0740425
+0.0758465
+0.0776704
+0.0795129
+0.0806279
+0.0807886
+0.0810082
+0.0812863
+0.0816222
+0.0820083
+0.0824398
+0.0829224
+0.0834598
+0.0840508
+0.0846944
+0.0853894
+0.0861344
+0.0869284
+0.0877698
+0.0886574
+0.0894635
+0.0902353
+0.0910533
+0.0919158
+0.0928126
+0.0937516
+0.0947321
+0.0957526
+0.0819601
+0.0798527
+0.07775
+0.0756522
+0.0735563
+0.0714661
+0.069382
+0.0673048
+0.065235
+0.0631733
+0.0611207
+0.0590779
+0.0570461
+0.0550265
+0.0530205
+0.0510297
+0.0490389
+0.0470639
+0.0451088
+0.0431763
+0.0412696
+0.0393925
+0.0375494
+0.0357443
+0.0339779
+0.0322637
+0.0306103
+0.0290281
+0.0275295
+0.0261092
+0.0247953
+0.0236119
+0.0225796
+0.0217198
+0.021018
+0.0205184
+0.0202449
+0.0202065
+0.0204046
+0.0208325
+0.0214764
+0.0223173
+0.0232996
+0.0244346
+0.0257066
+0.0270962
+0.0285863
+0.0301621
+0.0318107
+0.0335215
+0.0352854
+0.0370947
+0.0389379
+0.0408154
+0.0427227
+0.0446426
+0.0463959
+0.0481384
+0.0496088
+0.0511104
+0.0526505
+0.0542353
+0.0558612
+0.0575245
+0.0592221
+0.0609084
+0.0625618
+0.064246
+0.0659542
+0.0676903
+0.069452
+0.0712375
+0.0730451
+0.0748732
+0.0767203
+0.078585
+0.0794681
+0.0796311
+0.0798539
+0.080136
+0.0804767
+0.0808726
+0.0813169
+0.0818145
+0.0823591
+0.082958
+0.08361
+0.0843139
+0.0850684
+0.0858722
+0.0866936
+0.087501
+0.0882728
+0.0890549
+0.0898836
+0.0907535
+0.0916511
+0.0925918
+0.0935743
+0.0945107
+0.0814392
+0.079318
+0.0772007
+0.0750876
+0.0729791
+0.0708756
+0.0687742
+0.0666781
+0.0645882
+0.0625052
+0.0604298
+0.0583629
+0.0563053
+0.0542581
+0.0522226
+0.0502002
+0.0481924
+0.0462013
+0.0442091
+0.0422354
+0.0402842
+0.0383589
+0.0364636
+0.0346031
+0.0327835
+0.0310064
+0.0292821
+0.027624
+0.0260447
+0.0245594
+0.0231624
+0.0218909
+0.0207732
+0.0198353
+0.019103
+0.018552
+0.018249
+0.0182064
+0.018426
+0.0188987
+0.0196062
+0.0205142
+0.0215789
+0.0228025
+0.0241605
+0.0256341
+0.0272044
+0.0288557
+0.0305749
+0.0323511
+0.0341729
+0.0360323
+0.0379271
+0.0398523
+0.0418036
+0.0435884
+0.0453296
+0.0468662
+0.048352
+0.0498816
+0.0514585
+0.0530789
+0.0547391
+0.0564355
+0.0581223
+0.0597724
+0.0614563
+0.06317
+0.0649066
+0.0666699
+0.0684579
+0.0702687
+0.0721006
+0.073952
+0.0758215
+0.0777078
+0.0783523
+0.0785177
+0.0787436
+0.0790296
+0.0793751
+0.0797765
+0.0802269
+0.0807343
+0.0812975
+0.0819092
+0.0825694
+0.0832821
+0.0840292
+0.0847553
+0.0855314
+0.0863166
+0.0870858
+0.0878678
+0.088697
+0.0895696
+0.0904688
+0.0914117
+0.0923493
+0.0932168
+0.0809742
+0.0788405
+0.07671
+0.074583
+0.0724599
+0.0703408
+0.0682263
+0.0661167
+0.0640098
+0.0619074
+0.0598113
+0.0577222
+0.0556409
+0.0535683
+0.0515056
+0.0494538
+0.0474145
+0.0453893
+0.0433801
+0.0413892
+0.0393961
+0.0374252
+0.03548
+0.033565
+0.0316859
+0.0298492
+0.0280623
+0.0263274
+0.0246652
+0.0230914
+0.0216251
+0.0202607
+0.0190476
+0.0180201
+0.0172115
+0.0166416
+0.0163031
+0.0162554
+0.0165011
+0.0170273
+0.0178093
+0.0187814
+0.0199389
+0.0212571
+0.0227077
+0.0242697
+0.0259228
+0.0276507
+0.0294404
+0.031281
+0.0331617
+0.0350747
+0.0370186
+0.0389886
+0.0408193
+0.042561
+0.0441707
+0.0456359
+0.0471531
+0.0487203
+0.0503336
+0.0519891
+0.053683
+0.0553694
+0.057015
+0.0586962
+0.0604101
+0.0621527
+0.0639169
+0.0657067
+0.0675203
+0.0693555
+0.0712109
+0.0730849
+0.074976
+0.076883
+0.0772684
+0.0774421
+0.0776711
+0.0779611
+0.0783113
+0.0787209
+0.0791825
+0.0796965
+0.080267
+0.0808929
+0.0815618
+0.0821929
+0.0828529
+0.0835558
+0.0843099
+0.0851136
+0.0859088
+0.0867014
+0.087524
+0.0883897
+0.0893002
+0.0902244
+0.0910773
+0.0919568
+0.0805661
+0.0784213
+0.0762791
+0.0741398
+0.0720035
+0.0698707
+0.0677415
+0.0656163
+0.0634956
+0.0613798
+0.0592673
+0.0571583
+0.0550557
+0.0529603
+0.0508729
+0.0487945
+0.0467264
+0.04467
+0.042627
+0.0405993
+0.0385895
+0.0365989
+0.0346073
+0.0326412
+0.0307055
+0.0288064
+0.0269515
+0.0251508
+0.0234099
+0.0217454
+0.0201816
+0.0187433
+0.0174269
+0.0162975
+0.0153987
+0.0147725
+0.0144226
+0.0143687
+0.014646
+0.0152364
+0.0160943
+0.0171536
+0.0184137
+0.0198336
+0.021381
+0.0230331
+0.0247689
+0.026572
+0.0284296
+0.0303317
+0.0322677
+0.0342307
+0.0362199
+0.0380762
+0.0398409
+0.041531
+0.0429715
+0.0444717
+0.0460272
+0.0476315
+0.0492804
+0.0509702
+0.0526548
+0.0542942
+0.0559715
+0.0576831
+0.0594262
+0.0611968
+0.0629878
+0.0648034
+0.0666415
+0.0685003
+0.0703782
+0.0722738
+0.0741856
+0.076005
+0.0761489
+0.0763555
+0.0766242
+0.0769365
+0.0772913
+0.0777063
+0.0781792
+0.0787059
+0.0792711
+0.0798114
+0.0803688
+0.080975
+0.0816354
+0.0823488
+0.0831139
+0.0839291
+0.0847172
+0.0854774
+0.0862865
+0.0871238
+0.0880058
+0.0889304
+0.0898357
+0.0907272
+0.0802105
+0.0780592
+0.0759091
+0.073759
+0.0716114
+0.0694664
+0.0673245
+0.0651857
+0.0630506
+0.0609193
+0.0587925
+0.0566705
+0.0545523
+0.0524368
+0.0503276
+0.0482258
+0.0461322
+0.044048
+0.0419748
+0.039914
+0.0378679
+0.0358388
+0.0338295
+0.0318347
+0.029854
+0.0278969
+0.0259772
+0.0241038
+0.0222883
+0.0205452
+0.0188824
+0.0173372
+0.0159421
+0.0147
+0.0136968
+0.0129888
+0.0126141
+0.0125524
+0.0128689
+0.0135371
+0.0144959
+0.0156637
+0.0170343
+0.01856
+0.0202053
+0.021946
+0.0237614
+0.0256354
+0.0275562
+0.0295146
+0.0315009
+0.0335089
+0.0353818
+0.0371797
+0.0389572
+0.040369
+0.0418478
+0.0433869
+0.04498
+0.0466203
+0.0483038
+0.0499848
+0.0516161
+0.0532875
+0.0549955
+0.0567366
+0.0585079
+0.0603055
+0.0621222
+0.0639623
+0.0658239
+0.0677052
+0.0696046
+0.0715206
+0.073452
+0.0749307
+0.0750768
+0.0752863
+0.0755588
+0.0758935
+0.0762897
+0.0767408
+0.0771465
+0.07759
+0.0780893
+0.0785931
+0.0791521
+0.0797674
+0.0804377
+0.0811615
+0.0819376
+0.0827231
+0.0834427
+0.0841924
+0.0849919
+0.0858399
+0.0867346
+0.0876653
+0.0886255
+0.0895245
+0.0799071
+0.0777474
+0.0755894
+0.0734335
+0.0712796
+0.069128
+0.0669766
+0.0648264
+0.0626789
+0.0605346
+0.0583938
+0.0562567
+0.054124
+0.051996
+0.0498727
+0.0477509
+0.0456355
+0.0435276
+0.0414283
+0.0393389
+0.0372612
+0.0351972
+0.0331494
+0.0311206
+0.0291049
+0.0271148
+0.0251532
+0.0232134
+0.0213222
+0.0194938
+0.0177477
+0.016106
+0.0145965
+0.0132472
+0.0121243
+0.0113185
+0.0109003
+0.010875
+0.0112389
+0.0119982
+0.0130704
+0.0143546
+0.0158389
+0.0174693
+0.0192082
+0.0210317
+0.0229195
+0.0248571
+0.0268337
+0.0288412
+0.0308709
+0.0327588
+0.0345544
+0.0363659
+0.0378413
+0.0392931
+0.0408109
+0.0423876
+0.0440169
+0.0456919
+0.0473665
+0.0489875
+0.0506509
+0.0523532
+0.0540906
+0.05586
+0.0576548
+0.0594722
+0.0613141
+0.0631782
+0.0650627
+0.0669657
+0.0688859
+0.0708109
+0.0724456
+0.0738966
+0.0740447
+0.0742571
+0.0745333
+0.0748726
+0.0752142
+0.075542
+0.0759317
+0.0763822
+0.0768773
+0.0773914
+0.077959
+0.0785836
+0.0792639
+0.0799984
+0.0807856
+0.0814502
+0.0821596
+0.0829209
+0.0837325
+0.0845932
+0.0854937
+0.0864372
+0.0874254
+0.0883538
+0.0796628
+0.0774963
+0.0753312
+0.0731675
+0.0710056
+0.0688455
+0.0666873
+0.0645313
+0.0623778
+0.060227
+0.058075
+0.0559258
+0.0537799
+0.0516378
+0.0495
+0.0473669
+0.0452394
+0.0431123
+0.0409917
+0.0388789
+0.0367752
+0.0346822
+0.0326022
+0.0305376
+0.0284911
+0.0264564
+0.0244469
+0.0224714
+0.0205237
+0.0186171
+0.0167799
+0.0150378
+0.0134214
+0.0119799
+0.010743
+0.00982449
+0.00933958
+0.00935591
+0.0097986
+0.010661
+0.0118635
+0.0132775
+0.0148719
+0.016595
+0.0184166
+0.0203113
+0.0222603
+0.0242507
+0.0262729
+0.0283202
+0.0302259
+0.0320136
+0.0338471
+0.0354044
+0.0368219
+0.0383124
+0.0398675
+0.0414801
+0.0431437
+0.0448071
+0.0464163
+0.0480694
+0.0497636
+0.0514952
+0.0532557
+0.055044
+0.0568605
+0.0587025
+0.0605678
+0.0624541
+0.0643598
+0.0661358
+0.0677323
+0.0693612
+0.0710203
+0.0726901
+0.0730601
+0.0732754
+0.0734686
+0.0736994
+0.0739943
+0.0743527
+0.0747613
+0.0752189
+0.0757093
+0.0762313
+0.0768075
+0.0774414
+0.0781316
+0.0788766
+0.0795285
+0.0801951
+0.0809155
+0.0816884
+0.0825122
+0.0833806
+0.0842909
+0.0852477
+0.0862426
+0.0871176
+0.0794757
+0.0773065
+0.0751359
+0.0729665
+0.0707984
+0.0686317
+0.0664666
+0.0643033
+0.0621418
+0.0599825
+0.0578256
+0.0556713
+0.0535199
+0.0513706
+0.0492211
+0.0470755
+0.0449342
+0.0427979
+0.0406673
+0.0385381
+0.0364147
+0.0342998
+0.032195
+0.0301025
+0.028025
+0.0259652
+0.0239161
+0.0218927
+0.0199048
+0.0179641
+0.0160546
+0.0142239
+0.0125027
+0.0109408
+0.00962729
+0.00861945
+0.00806239
+0.0080813
+0.00860546
+0.00957592
+0.0108985
+0.0124231
+0.0141237
+0.0159352
+0.0178244
+0.0197759
+0.0217729
+0.023804
+0.0258612
+0.0277967
+0.0295793
+0.0314039
+0.0330782
+0.0344522
+0.0359074
+0.0374343
+0.0390245
+0.0406705
+0.0422994
+0.0438913
+0.045533
+0.0472192
+0.0489454
+0.0507023
+0.0524862
+0.0542999
+0.0561404
+0.0580053
+0.0598923
+0.0614852
+0.0630472
+0.0646457
+0.066278
+0.0679418
+0.0695978
+0.0712536
+0.0719573
+0.07206
+0.072229
+0.0724639
+0.0727641
+0.0731286
+0.0735566
+0.074047
+0.0745716
+0.0751172
+0.0757018
+0.0763449
+0.077045
+0.0776752
+0.0782963
+0.0789733
+0.0797047
+0.0804892
+0.0813252
+0.0822053
+0.0831284
+0.0840984
+0.0849931
+0.085881
+0.0793277
+0.0771565
+0.0749861
+0.0728161
+0.0706468
+0.068479
+0.0663126
+0.0641479
+0.0619824
+0.0598174
+0.0576542
+0.0554933
+0.0533347
+0.0511789
+0.0490262
+0.046877
+0.0447318
+0.0425879
+0.0404463
+0.0383103
+0.0361808
+0.0340542
+0.0319332
+0.0298224
+0.0277239
+0.0256408
+0.0235762
+0.0215224
+0.0194968
+0.0175109
+0.01558
+0.013715
+0.0119205
+0.0102705
+0.00885815
+0.00777272
+0.00714999
+0.00717132
+0.00778797
+0.00884854
+0.010268
+0.0119153
+0.0136792
+0.01554
+0.0174719
+0.0194588
+0.0214851
+0.0235309
+0.0255021
+0.0272688
+0.0290838
+0.0308703
+0.0322064
+0.0336161
+0.0351059
+0.0366662
+0.0382883
+0.0398731
+0.0414424
+0.043066
+0.0447379
+0.0464531
+0.0482067
+0.0499896
+0.051798
+0.0536349
+0.0554002
+0.0568762
+0.0583972
+0.0599595
+0.0615602
+0.0631964
+0.0648566
+0.0665059
+0.0681665
+0.0698563
+0.0706994
+0.0708039
+0.070976
+0.071215
+0.0715204
+0.0718912
+0.0723266
+0.0728253
+0.0733839
+0.0739425
+0.0745613
+0.0752389
+0.0759022
+0.076475
+0.0771057
+0.0777931
+0.0785356
+0.0793316
+0.0801796
+0.0810721
+0.082008
+0.0829226
+0.0837752
+0.0846664
+0.0792401
+0.0770663
+0.0748934
+0.0727206
+0.0705484
+0.0683774
+0.0662077
+0.0640394
+0.0618728
+0.0597078
+0.0575448
+0.055384
+0.0532257
+0.05107
+0.0489176
+0.0467655
+0.0446158
+0.0424702
+0.0403295
+0.0381893
+0.0360541
+0.033926
+0.0318064
+0.0296971
+0.0275939
+0.0255003
+0.0234243
+0.02137
+0.0193299
+0.017325
+0.0153708
+0.0134894
+0.0116726
+0.00999835
+0.00856053
+0.00746964
+0.00681929
+0.00684164
+0.00748938
+0.00858691
+0.0100405
+0.0117223
+0.0135172
+0.0153914
+0.0173399
+0.0193403
+0.0213777
+0.0233935
+0.0251174
+0.0269093
+0.0286891
+0.0300942
+0.0314633
+0.0329048
+0.0344254
+0.0360152
+0.0375458
+0.0390857
+0.0406854
+0.042338
+0.0440376
+0.045779
+0.0475575
+0.0493611
+0.0509004
+0.0523199
+0.0537912
+0.0553102
+0.056873
+0.0584761
+0.0601164
+0.0617683
+0.0634147
+0.0650804
+0.0667764
+0.0685005
+0.0694577
+0.0695774
+0.0697658
+0.0700124
+0.070323
+0.0707001
+0.0711427
+0.0716496
+0.0722195
+0.0728105
+0.0734388
+0.0741266
+0.0747377
+0.0753193
+0.0759597
+0.0766573
+0.0774107
+0.0782182
+0.0790754
+0.0799746
+0.0809139
+0.0817227
+0.0825763
+0.0834746
+0.0792003
+0.077035
+0.0748615
+0.0726889
+0.0705171
+0.0683458
+0.0661752
+0.0640058
+0.061838
+0.0596718
+0.0575074
+0.0553452
+0.0531852
+0.0510279
+0.0488736
+0.0467226
+0.0445755
+0.0424329
+0.0402954
+0.0381624
+0.0360322
+0.0339096
+0.0317963
+0.0296872
+0.0275898
+0.0255082
+0.0234464
+0.021398
+0.0193674
+0.0173679
+0.0154204
+0.0135474
+0.0117844
+0.0101532
+0.00874091
+0.00769935
+0.00707476
+0.00709631
+0.00776087
+0.00882816
+0.0102557
+0.0119172
+0.0137002
+0.0155523
+0.0174829
+0.0194686
+0.0214938
+0.0231815
+0.0249201
+0.0266504
+0.0281544
+0.0294609
+0.0308581
+0.0323266
+0.0338732
+0.035337
+0.036839
+0.0384073
+0.0400341
+0.0417126
+0.0434367
+0.045197
+0.0464812
+0.0478313
+0.0492418
+0.0507078
+0.0522246
+0.0537878
+0.0553936
+0.057032
+0.058681
+0.0603242
+0.0619955
+0.0636983
+0.0654301
+0.0671888
+0.06824
+0.0683619
+0.0685536
+0.0688146
+0.069144
+0.0695409
+0.0700041
+0.0705225
+0.0710891
+0.0716676
+0.0723079
+0.0730083
+0.0736201
+0.0742104
+0.0748603
+0.0755681
+0.0763322
+0.0771482
+0.078008
+0.0789193
+0.0797352
+0.0805512
+0.0814153
+0.0823177
+0.0790812
+0.0769266
+0.074774
+0.0726237
+0.0704759
+0.0683308
+0.0661887
+0.0640382
+0.0618735
+0.0597107
+0.05755
+0.0553914
+0.0532346
+0.0510798
+0.0489277
+0.0467793
+0.0446349
+0.0424952
+0.0403611
+0.0382333
+0.036113
+0.0340017
+0.0319011
+0.0298134
+0.0277351
+0.0256743
+0.023637
+0.0216075
+0.0196076
+0.0176531
+0.0157609
+0.0139426
+0.0122368
+0.0107055
+0.00938004
+0.00842303
+0.00792243
+0.00794168
+0.00854097
+0.00953262
+0.0108744
+0.0124537
+0.014162
+0.0159809
+0.0178834
+0.0198395
+0.0215099
+0.0231671
+0.0248171
+0.0264362
+0.0276505
+0.0289797
+0.030399
+0.0318887
+0.0332703
+0.0347236
+0.0362511
+0.0378438
+0.0394938
+0.0409542
+0.0421621
+0.0434313
+0.0447662
+0.0461664
+0.0476263
+0.0491406
+0.0507042
+0.0523129
+0.0539405
+0.0555927
+0.0572345
+0.058912
+0.0606222
+0.0623626
+0.0641305
+0.0659238
+0.0670718
+0.0671958
+0.0673908
+0.0676562
+0.0679913
+0.0683948
+0.0688658
+0.0694027
+0.0699817
+0.0705693
+0.0712194
+0.0719304
+0.0725513
+0.0731503
+0.0738095
+0.0745273
+0.0752991
+0.0761168
+0.0769881
+0.0777807
+0.0785425
+0.0793471
+0.0802034
+0.0810944
+0.0790228
+0.0768665
+0.0747122
+0.07256
+0.0704103
+0.0682632
+0.0661189
+0.0639778
+0.0618401
+0.0597063
+0.0575767
+0.0554519
+0.0533325
+0.0512106
+0.0490669
+0.0469274
+0.0447929
+0.0426641
+0.0405418
+0.0384263
+0.0363185
+0.03422
+0.0321337
+0.0300622
+0.0280088
+0.0259779
+0.0239752
+0.0220083
+0.0200765
+0.0181725
+0.0163405
+0.0146076
+0.0130134
+0.0116144
+0.0104047
+0.00955095
+0.00915321
+0.00917239
+0.00969724
+0.010639
+0.0118592
+0.0133221
+0.0149291
+0.0166645
+0.0184968
+0.020142
+0.0216828
+0.0232535
+0.0248926
+0.0260836
+0.0273135
+0.0286584
+0.0300784
+0.031374
+0.0327649
+0.0342397
+0.0357878
+0.036866
+0.0379589
+0.0391366
+0.0403888
+0.041706
+0.0430943
+0.0445471
+0.0460584
+0.0476225
+0.0492309
+0.0508499
+0.0524988
+0.0541457
+0.0558301
+0.0575485
+0.0592981
+0.0610762
+0.0628803
+0.0647083
+0.0658327
+0.0659732
+0.0661858
+0.0664701
+0.0668249
+0.067209
+0.0676609
+0.0681801
+0.0687653
+0.0694147
+0.0701257
+0.0708928
+0.0715337
+0.0721412
+0.0728095
+0.0735341
+0.0743067
+0.0751351
+0.0758447
+0.0765523
+0.0773155
+0.0781326
+0.0790021
+0.0799043
+0.079025
+0.0768688
+0.0747146
+0.0725625
+0.0704128
+0.0682658
+0.0661216
+0.0639805
+0.061843
+0.0597093
+0.0575798
+0.0554551
+0.0533358
+0.0512225
+0.0491121
+0.0470076
+0.0449114
+0.0428246
+0.0407488
+0.0386856
+0.0366322
+0.0345562
+0.0324953
+0.0304525
+0.0284318
+0.0264381
+0.0244773
+0.022557
+0.0206821
+0.0188638
+0.0171329
+0.0155152
+0.0140266
+0.0127424
+0.0116937
+0.010941
+0.0105956
+0.0106908
+0.0111444
+0.0119875
+0.0130991
+0.0144399
+0.0159621
+0.0175961
+0.0191723
+0.0205612
+0.0219798
+0.023509
+0.0248063
+0.025912
+0.0271497
+0.0284562
+0.0296805
+0.0309927
+0.0320381
+0.0329595
+0.0339427
+0.0349814
+0.0361234
+0.0373554
+0.0386518
+0.0400262
+0.0414708
+0.0429785
+0.0445431
+0.0461369
+0.0477602
+0.0494054
+0.0510581
+0.0527501
+0.0544776
+0.0562374
+0.0580266
+0.0598424
+0.0616826
+0.063545
+0.0646115
+0.0647546
+0.0649712
+0.0652608
+0.0656087
+0.0659988
+0.0664588
+0.0669874
+0.0675829
+0.0682436
+0.0689675
+0.0697528
+0.0705695
+0.0711852
+0.0718594
+0.0725837
+0.0733476
+0.0739766
+0.0746376
+0.0753528
+0.0761122
+0.0769264
+0.0777934
+0.0787034
+0.079088
+0.0769335
+0.0747811
+0.0726311
+0.0704835
+0.0683387
+0.0661968
+0.0640583
+0.0619234
+0.0597926
+0.0576662
+0.0555448
+0.0534291
+0.0513184
+0.049213
+0.0471134
+0.0450221
+0.0429407
+0.0408707
+0.038814
+0.0367728
+0.0347498
+0.0327483
+0.0307726
+0.0288281
+0.0269214
+0.0250611
+0.0232585
+0.0214472
+0.0196997
+0.0180491
+0.0165245
+0.015164
+0.0140155
+0.0131032
+0.0125105
+0.0122264
+0.0123143
+0.0127554
+0.0134983
+0.0145332
+0.0157565
+0.0171693
+0.0186325
+0.0198296
+0.0210769
+0.0224544
+0.023856
+0.024811
+0.0259165
+0.0270795
+0.0279838
+0.0285894
+0.0293235
+0.0301648
+0.0310439
+0.0320269
+0.0331258
+0.0343295
+0.0356052
+0.036963
+0.0383979
+0.0399015
+0.0414664
+0.0430434
+0.0446717
+0.0463126
+0.0479719
+0.0496724
+0.0514099
+0.053181
+0.0549823
+0.056811
+0.0586645
+0.0605405
+0.0624348
+0.0634425
+0.0635882
+0.0638088
+0.0641036
+0.0644428
+0.06484
+0.0653082
+0.065846
+0.0664517
+0.0671235
+0.0678594
+0.0686554
+0.0694712
+0.0702804
+0.0709542
+0.0715966
+0.0721715
+0.0727706
+0.073426
+0.0741403
+0.074912
+0.0757391
+0.0766128
+0.0775367
+0.0792084
+0.0770566
+0.074907
+0.0727599
+0.0706154
+0.0684739
+0.0663355
+0.0642007
+0.0620698
+0.0599432
+0.0578214
+0.055705
+0.0535944
+0.0514906
+0.0493944
+0.0473067
+0.0452287
+0.0431619
+0.0411074
+0.039065
+0.0370377
+0.03503
+0.0330455
+0.0310887
+0.0291652
+0.0272821
+0.0254482
+0.0236746
+0.0219667
+0.0203493
+0.0188481
+0.0174931
+0.0163206
+0.0153613
+0.0146109
+0.0140843
+0.0138848
+0.0139964
+0.0144109
+0.015119
+0.0160184
+0.0171235
+0.0184195
+0.0195515
+0.0205889
+0.0217928
+0.0230549
+0.0240317
+0.0247595
+0.0250892
+0.0255649
+0.0260529
+0.0266927
+0.0274061
+0.0281876
+0.0291022
+0.0301486
+0.0313136
+0.0325683
+0.0339062
+0.0353294
+0.036828
+0.0383721
+0.0399506
+0.0415847
+0.0432206
+0.0448873
+0.0465973
+0.0483462
+0.0501297
+0.0519445
+0.0537872
+0.0556552
+0.0575447
+0.059452
+0.0613782
+0.0622014
+0.0623928
+0.0626473
+0.062977
+0.0633131
+0.0637172
+0.0641936
+0.0647406
+0.0653565
+0.0660394
+0.0667616
+0.0675312
+0.0683624
+0.0692106
+0.0699198
+0.0704348
+0.0709766
+0.0715814
+0.0722476
+0.0729734
+0.0737573
+0.0745924
+0.0754774
+0.076415
+0.0793805
+0.0772335
+0.075089
+0.0729472
+0.0708084
+0.0686729
+0.0665409
+0.0644129
+0.0622893
+0.0601705
+0.058057
+0.0559494
+0.0538485
+0.051755
+0.0496699
+0.0475943
+0.0455295
+0.0434769
+0.0414386
+0.0394166
+0.0374136
+0.0354279
+0.0334672
+0.0315368
+0.0296425
+0.0277919
+0.0259905
+0.024246
+0.0225794
+0.0210092
+0.0195588
+0.0182565
+0.0171302
+0.0162104
+0.015547
+0.0151737
+0.0151119
+0.0153334
+0.0158299
+0.0165722
+0.0174812
+0.0185263
+0.0195506
+0.0205496
+0.0215357
+0.0226051
+0.0225681
+0.022549
+0.0227144
+0.0230588
+0.0234585
+0.0239885
+0.0246506
+0.025388
+0.0262175
+0.0271985
+0.0283153
+0.0295442
+0.0308577
+0.0322666
+0.033759
+0.035278
+0.0368588
+0.0384994
+0.0401296
+0.0418046
+0.0435255
+0.045287
+0.0470846
+0.0489142
+0.0507724
+0.052656
+0.0545584
+0.0564816
+0.0584236
+0.0603827
+0.0609456
+0.0611428
+0.061416
+0.0617363
+0.0620736
+0.0624857
+0.0629713
+0.0635289
+0.0641564
+0.0648519
+0.0656132
+0.0664381
+0.0673046
+0.0681795
+0.0687878
+0.0692747
+0.0698256
+0.0704402
+0.0711171
+0.0718544
+0.0726478
+0.073491
+0.0743891
+0.075337
+0.0795187
+0.077472
+0.0753342
+0.0731996
+0.0710684
+0.068941
+0.0668176
+0.0646987
+0.0625847
+0.0604762
+0.0583738
+0.0562781
+0.0541899
+0.0521102
+0.0500399
+0.0479803
+0.0459301
+0.0438919
+0.0418691
+0.039864
+0.0378795
+0.035919
+0.0339866
+0.0320875
+0.0302277
+0.0284153
+0.0266596
+0.0249728
+0.0233697
+0.0218689
+0.0204746
+0.0192184
+0.0181407
+0.0172748
+0.0166539
+0.0163059
+0.0162484
+0.0164845
+0.0169551
+0.0176662
+0.0185564
+0.0196187
+0.0206978
+0.0215943
+0.0210846
+0.0206938
+0.0204754
+0.0204692
+0.0206561
+0.0209767
+0.021368
+0.0219485
+0.022626
+0.0233873
+0.0242852
+0.0253411
+0.0265274
+0.0278177
+0.029209
+0.0306759
+0.0321845
+0.033768
+0.0354103
+0.0370397
+0.0387245
+0.0404578
+0.0422336
+0.0440468
+0.0458929
+0.0477682
+0.0496658
+0.0515853
+0.0535256
+0.0554846
+0.0574604
+0.0594512
+0.0597436
+0.059928
+0.0601775
+0.0605053
+0.0608876
+0.0613077
+0.0618026
+0.0623706
+0.0630096
+0.0637176
+0.0644922
+0.0653312
+0.066232
+0.0671921
+0.0676593
+0.0681562
+0.0687194
+0.0693472
+0.0700272
+0.070766
+0.0715643
+0.07242
+0.0733286
+0.0742808
+0.0782029
+0.077296
+0.0756359
+0.0735085
+0.071385
+0.0692656
+0.0671507
+0.065041
+0.0629367
+0.0608385
+0.0587471
+0.0566632
+0.0545877
+0.0525215
+0.0504659
+0.048422
+0.0463916
+0.0443764
+0.0423786
+0.0404009
+0.0384462
+0.0365182
+0.0346198
+0.0327559
+0.0309341
+0.029163
+0.0274526
+0.0258149
+0.0242645
+0.0228194
+0.0214931
+0.020305
+0.0192882
+0.0184763
+0.0178972
+0.017574
+0.0175208
+0.0176903
+0.0181223
+0.0188013
+0.0197017
+0.0207456
+0.0204013
+0.0196704
+0.0190659
+0.0186368
+0.0183995
+0.0183926
+0.0185972
+0.0188751
+0.0192998
+0.0199111
+0.0206278
+0.0214238
+0.0224005
+0.0235295
+0.0247871
+0.0261561
+0.0275883
+0.0290921
+0.0306788
+0.0323147
+0.0339513
+0.0356474
+0.037395
+0.0391872
+0.041018
+0.0428827
+0.0447744
+0.0466895
+0.0486278
+0.0505867
+0.052564
+0.0545575
+0.0565374
+0.0584097
+0.0585176
+0.0586923
+0.0589471
+0.0592817
+0.0596949
+0.0601626
+0.0606668
+0.0612453
+0.0618959
+0.0626165
+0.0634045
+0.0642577
+0.0651733
+0.066086
+0.0665673
+0.0670722
+0.0676444
+0.0682711
+0.0689592
+0.0697093
+0.0705196
+0.0713878
+0.0722981
+0.0732409
+0.0769271
+0.076005
+0.0750849
+0.0738262
+0.0717121
+0.0696026
+0.0674984
+0.0653998
+0.0633075
+0.061222
+0.0591442
+0.0570748
+0.0550148
+0.0529653
+0.0509275
+0.048903
+0.0468934
+0.0449007
+0.0429274
+0.0409761
+0.0390502
+0.0371537
+0.0352913
+0.0334687
+0.0316927
+0.0299684
+0.0282961
+0.0266989
+0.0251911
+0.0237897
+0.0225145
+0.0213883
+0.020427
+0.0196621
+0.0191188
+0.0188165
+0.0187667
+0.0189422
+0.0193463
+0.0199837
+0.0206853
+0.0195641
+0.018607
+0.0177458
+0.0170883
+0.0165907
+0.0163481
+0.016333
+0.0165527
+0.0167962
+0.0172618
+0.0178811
+0.0186363
+0.0195069
+0.0205614
+0.0217754
+0.0231152
+0.0245033
+0.0260011
+0.0275916
+0.0292196
+0.0308648
+0.0325744
+0.0343386
+0.0361495
+0.0380005
+0.0398849
+0.0417943
+0.0437301
+0.0456889
+0.047668
+0.0496648
+0.051643
+0.0536291
+0.0556306
+0.0572066
+0.0573157
+0.057508
+0.0577735
+0.0581148
+0.0585363
+0.059036
+0.0595899
+0.0601787
+0.0608407
+0.0615736
+0.0623748
+0.0632419
+0.064172
+0.0648698
+0.0655303
+0.0660432
+0.0666129
+0.0672466
+0.067945
+0.0686967
+0.0694814
+0.0703256
+0.0712272
+0.0721818
+0.0756931
+0.0747327
+0.0736921
+0.0726937
+0.0717484
+0.0700067
+0.0679149
+0.0658296
+0.0637514
+0.061681
+0.0596191
+0.0575668
+0.0555251
+0.0534951
+0.0514783
+0.0494763
+0.047491
+0.0455245
+0.0435794
+0.0416587
+0.0397659
+0.0379052
+0.0360781
+0.0342867
+0.0325441
+0.0308588
+0.0292405
+0.0277011
+0.0262515
+0.0249086
+0.023685
+0.0226079
+0.0216992
+0.0209807
+0.0204725
+0.0201904
+0.020144
+0.0203069
+0.0206844
+0.0205049
+0.0191313
+0.017921
+0.0168207
+0.0158894
+0.0151408
+0.0145493
+0.014272
+0.0142839
+0.0144826
+0.0147472
+0.0151984
+0.0158879
+0.0166748
+0.0176381
+0.0187867
+0.0200616
+0.0214222
+0.0229119
+0.024507
+0.0261252
+0.027781
+0.0295066
+0.0312904
+0.0331231
+0.034997
+0.0369
+0.0388326
+0.0407913
+0.0427726
+0.0447733
+0.0467495
+0.0487381
+0.0507434
+0.0527633
+0.0547964
+0.0560219
+0.0561345
+0.0563321
+0.0566122
+0.0569608
+0.0573907
+0.0579004
+0.0584877
+0.0591504
+0.0598454
+0.0605904
+0.0614045
+0.062207
+0.0630466
+0.0637058
+0.0644185
+0.065002
+0.065606
+0.0662351
+0.0669033
+0.0676351
+0.0684292
+0.0692835
+0.0701958
+0.071162
+0.0744907
+0.0733868
+0.0723323
+0.0713215
+0.0703577
+0.0694497
+0.0683991
+0.0663291
+0.064267
+0.0622137
+0.0601701
+0.0581373
+0.0561163
+0.0541085
+0.0521155
+0.0501389
+0.0481808
+0.0462401
+0.0443182
+0.0424224
+0.0405563
+0.0387242
+0.0369312
+0.0351833
+0.0334875
+0.0318521
+0.0302869
+0.0288035
+0.0274149
+0.0261291
+0.0249654
+0.0239459
+0.0230899
+0.022416
+0.0219411
+0.0216781
+0.0216153
+0.0217508
+0.020738
+0.0191475
+0.0176858
+0.0163456
+0.0151071
+0.0140907
+0.013239
+0.0125583
+0.012236
+0.0122751
+0.0124412
+0.0126709
+0.0131611
+0.0139517
+0.0147767
+0.0158388
+0.0170223
+0.0183468
+0.0198255
+0.0214265
+0.0230319
+0.0247007
+0.0264458
+0.028253
+0.0301112
+0.032007
+0.0339354
+0.035894
+0.037878
+0.0398836
+0.0418573
+0.0438488
+0.0458585
+0.0478841
+0.0499237
+0.0519755
+0.0540383
+0.0547912
+0.0549062
+0.0551082
+0.0553961
+0.0557568
+0.0561959
+0.0567163
+0.0573158
+0.0579918
+0.0587419
+0.0594961
+0.0603088
+0.0611164
+0.061934
+0.0625969
+0.063322
+0.0639608
+0.0645297
+0.0651496
+0.065828
+0.0665716
+0.0673782
+0.0682457
+0.0691717
+0.0699812
+0.073206
+0.0720823
+0.0710085
+0.0699814
+0.0690003
+0.0680756
+0.0672095
+0.0664045
+0.0648403
+0.0628055
+0.0607815
+0.0587695
+0.0567707
+0.0547866
+0.0528179
+0.0508618
+0.0489252
+0.047011
+0.045122
+0.0432614
+0.0414331
+0.0396416
+0.037892
+0.0361905
+0.0345442
+0.0329612
+0.0314513
+0.0300243
+0.0286846
+0.0274544
+0.0263493
+0.0253855
+0.0245797
+0.0239477
+0.0235038
+0.0232449
+0.0230779
+0.021328
+0.0195739
+0.0178802
+0.0162999
+0.0148018
+0.0134944
+0.0123628
+0.0113947
+0.0106461
+0.0102639
+0.0103404
+0.0104018
+0.0105967
+0.0111819
+0.0120268
+0.0129612
+0.0140089
+0.0152806
+0.0167434
+0.0183518
+0.01994
+0.0216255
+0.0233949
+0.0252305
+0.027116
+0.0290387
+0.030997
+0.0329846
+0.0349948
+0.0369666
+0.0389618
+0.040977
+0.0430093
+0.0450565
+0.0471166
+0.049188
+0.0512693
+0.0531119
+0.0535526
+0.0536703
+0.0538769
+0.0541714
+0.0545523
+0.0550179
+0.0555537
+0.0561653
+0.0568547
+0.0575677
+0.0583257
+0.0591552
+0.0600531
+0.0608785
+0.0615459
+0.0622833
+0.0628554
+0.063451
+0.064097
+0.0647864
+0.0655419
+0.066361
+0.0671969
+0.0679066
+0.0686788
+0.071965
+0.0708217
+0.0697284
+0.0686813
+0.0676814
+0.0667384
+0.0658547
+0.0650329
+0.0642753
+0.0632731
+0.0612649
+0.0592672
+0.0572836
+0.0553157
+0.0533651
+0.0514339
+0.0495243
+0.0476388
+0.0457806
+0.043953
+0.04216
+0.0404062
+0.038697
+0.0370386
+0.0354379
+0.0338938
+0.0324181
+0.031027
+0.0297324
+0.0285474
+0.0274861
+0.0265444
+0.0257397
+0.025101
+0.024641
+0.0240199
+0.0221292
+0.0202989
+0.0185381
+0.0168039
+0.0150513
+0.0134145
+0.0119563
+0.0107153
+0.00961869
+0.00879788
+0.00840083
+0.00836228
+0.00830754
+0.00858049
+0.0092836
+0.0101756
+0.0110424
+0.0122304
+0.0136686
+0.0152668
+0.0168504
+0.018558
+0.0203582
+0.0222282
+0.0241427
+0.0261006
+0.0280929
+0.0301052
+0.0320784
+0.0340781
+0.0361
+0.0381406
+0.0401969
+0.0422668
+0.0443483
+0.0464398
+0.0484348
+0.050024
+0.0516571
+0.0523588
+0.0524792
+0.0526905
+0.0529915
+0.0533809
+0.0538566
+0.0544106
+0.0550351
+0.0557389
+0.0564418
+0.0572148
+0.0580602
+0.0589749
+0.0598776
+0.060556
+0.061272
+0.0618052
+0.0624108
+0.0630867
+0.0637961
+0.0645631
+0.0652515
+0.0659123
+0.0666357
+0.0674224
+0.0707701
+0.0696071
+0.0684945
+0.0674273
+0.0664085
+0.0654472
+0.0645459
+0.0637072
+0.0629336
+0.0622276
+0.0615915
+0.0597673
+0.0578009
+0.0558512
+0.05392
+0.0520093
+0.0501216
+0.0482595
+0.0464262
+0.044625
+0.0428487
+0.0411116
+0.0394197
+0.0377791
+0.0361968
+0.0346807
+0.03324
+0.0318847
+0.0306264
+0.0294773
+0.0284313
+0.0275076
+0.0267319
+0.0261175
+0.0252585
+0.0232806
+0.0213442
+0.019454
+0.0175644
+0.0157423
+0.0140207
+0.0122586
+0.0106392
+0.00923443
+0.00797219
+0.00696857
+0.0063884
+0.00620377
+0.00616258
+0.00657127
+0.00731093
+0.00817411
+0.00921236
+0.0106074
+0.0121738
+0.0137647
+0.0155026
+0.0173433
+0.019248
+0.0212052
+0.0232042
+0.0252191
+0.0271938
+0.0291994
+0.0312298
+0.0332806
+0.0353481
+0.0374297
+0.0395231
+0.0416265
+0.0437384
+0.0453459
+0.0469374
+0.0485755
+0.0502558
+0.0512309
+0.051354
+0.0515698
+0.0518774
+0.052275
+0.0527607
+0.053319
+0.0539572
+0.0546526
+0.0553641
+0.0561406
+0.0569857
+0.0579013
+0.0588843
+0.0596302
+0.0602375
+0.0607798
+0.0613955
+0.0620825
+0.0628383
+0.0633945
+0.064006
+0.0646764
+0.0654135
+0.0662148
+0.0696145
+0.0684311
+0.0672983
+0.0662185
+0.0651844
+0.0642048
+0.0632858
+0.0624302
+0.0616406
+0.0609196
+0.0602696
+0.059693
+0.0583956
+0.0564666
+0.0545548
+0.0526573
+0.0507834
+0.0489358
+0.0471176
+0.0453323
+0.0435841
+0.0418775
+0.0402178
+0.0386112
+0.0370644
+0.0355853
+0.0341827
+0.0328663
+0.031647
+0.0305168
+0.0294478
+0.028489
+0.0276395
+0.0267949
+0.0247436
+0.0227171
+0.0207234
+0.018765
+0.0167988
+0.0148954
+0.0130768
+0.0111826
+0.00937797
+0.00773971
+0.0062904
+0.00515772
+0.00435324
+0.0040797
+0.00406163
+0.00456922
+0.00537252
+0.00625638
+0.00754785
+0.00908442
+0.0106861
+0.0124682
+0.0143559
+0.0163117
+0.0183207
+0.020339
+0.0223154
+0.0243286
+0.0263701
+0.0284338
+0.0305152
+0.032611
+0.0347184
+0.0368356
+0.038941
+0.0406898
+0.0422583
+0.0438524
+0.0454961
+0.0471844
+0.0489124
+0.0501459
+0.0502787
+0.0504991
+0.0508132
+0.0512047
+0.0516824
+0.0522477
+0.0528848
+0.0535936
+0.0543053
+0.0550915
+0.0559525
+0.0568848
+0.0578851
+0.0587715
+0.0592624
+0.0597815
+0.0603305
+0.0609534
+0.0616375
+0.0621926
+0.062809
+0.0634921
+0.0642427
+0.0650501
+0.0685043
+0.0673015
+0.0661492
+0.0650504
+0.0640078
+0.0630124
+0.0620758
+0.0612033
+0.0603977
+0.0596616
+0.0589978
+0.0584087
+0.0578965
+0.0571176
+0.0552212
+0.0533474
+0.0514986
+0.0496776
+0.0478876
+0.0461322
+0.0444154
+0.042742
+0.0411173
+0.0395472
+0.0380385
+0.0365535
+0.0351263
+0.0337714
+0.032501
+0.0313319
+0.0302667
+0.0293051
+0.0284799
+0.0264624
+0.0243815
+0.0223216
+0.0202891
+0.0182554
+0.0161936
+0.0141706
+0.0122057
+0.0103204
+0.00841928
+0.00658615
+0.00486524
+0.00347005
+0.00244109
+0.00205919
+0.00202099
+0.00261529
+0.00340602
+0.00450444
+0.00600394
+0.00762332
+0.00947048
+0.0114224
+0.0134482
+0.0154705
+0.0174483
+0.0194718
+0.021528
+0.0236084
+0.0257072
+0.0278201
+0.0299442
+0.0320773
+0.0341639
+0.0358781
+0.0376351
+0.0391723
+0.0407694
+0.0424195
+0.0441167
+0.0458557
+0.047632
+0.0490556
+0.0492035
+0.0494323
+0.0497344
+0.0501305
+0.0506183
+0.0511954
+0.0518462
+0.0525726
+0.0532943
+0.0540952
+0.0549719
+0.0559206
+0.0568893
+0.0576983
+0.0581123
+0.0585951
+0.0591552
+0.0597903
+0.06048
+0.0610417
+0.0616666
+0.0623532
+0.0631011
+0.0639154
+0.0674471
+0.066225
+0.0650537
+0.0639361
+0.0628749
+0.0618732
+0.0609196
+0.0600303
+0.0592088
+0.0584578
+0.0577801
+0.0571784
+0.0566551
+0.0562123
+0.0558521
+0.0541175
+0.0522959
+0.0505037
+0.048744
+0.0470206
+0.0452992
+0.0436132
+0.0419739
+0.0403869
+0.0388513
+0.0373685
+0.0359581
+0.0346289
+0.0333906
+0.0322446
+0.0311903
+0.030258
+0.0282284
+0.0261573
+0.0241074
+0.0220238
+0.0198858
+0.0177606
+0.0156535
+0.0135678
+0.0115099
+0.00949888
+0.00753882
+0.00570629
+0.00381723
+0.00200923
+0.000632535
+8.05416e-06
+-3.52923e-05
+0.000634181
+0.00159448
+0.00295916
+0.00460719
+0.00654709
+0.00860514
+0.0106297
+0.0126056
+0.0146428
+0.0167188
+0.0188209
+0.0209411
+0.0230745
+0.0252177
+0.0273685
+0.0294268
+0.0310935
+0.0328218
+0.0345529
+0.0360885
+0.0376889
+0.0393462
+0.0410535
+0.0428049
+0.0445951
+0.0464197
+0.0476456
+0.0481834
+0.0484134
+0.0487263
+0.0491305
+0.0496282
+0.0502166
+0.0508807
+0.0516199
+0.0523556
+0.0531706
+0.0540454
+0.0549426
+0.0559112
+0.056554
+0.0569674
+0.0574598
+0.0580308
+0.0586781
+0.0593808
+0.059936
+0.0605554
+0.0612469
+0.0620082
+0.0628326
+0.0664446
+0.0652042
+0.0640145
+0.0628783
+0.061799
+0.0607796
+0.0598213
+0.0589155
+0.0580782
+0.0573124
+0.056621
+0.0560069
+0.0554725
+0.0550202
+0.0546521
+0.0543635
+0.0530993
+0.0512956
+0.0495231
+0.0477854
+0.0460863
+0.04443
+0.0428044
+0.0412313
+0.0397166
+0.0382675
+0.0368916
+0.0355975
+0.0343883
+0.0332577
+0.0322365
+0.0301549
+0.028055
+0.0259701
+0.0239042
+0.0218011
+0.0196389
+0.0174837
+0.0153386
+0.0132032
+0.0110779
+0.00898381
+0.00694178
+0.00493738
+0.00297612
+0.00107666
+-0.000846733
+-0.00201359
+-0.00210208
+-0.0012813
+8.79528e-05
+0.00172531
+0.00383564
+0.00588508
+0.00783257
+0.00988243
+0.0119822
+0.0141097
+0.0162532
+0.0184024
+0.0205585
+0.0227213
+0.0247426
+0.0263508
+0.0280292
+0.0297742
+0.0314739
+0.0330073
+0.0346115
+0.0362771
+0.037996
+0.0397614
+0.0415672
+0.0434085
+0.0450164
+0.0462497
+0.047225
+0.0474596
+0.0477937
+0.0482094
+0.0487165
+0.0493158
+0.049992
+0.050672
+0.0514363
+0.0522686
+0.0531054
+0.0540182
+0.0550031
+0.055465
+0.0558849
+0.0563868
+0.0569685
+0.0576278
+0.0583108
+0.0588658
+0.0594963
+0.0601994
+0.0609585
+0.061786
+0.0654865
+0.0642276
+0.0630197
+0.0618659
+0.0607691
+0.0597325
+0.0587553
+0.0578382
+0.0569906
+0.0562105
+0.0555055
+0.0548788
+0.0543334
+0.0538715
+0.0534955
+0.0532027
+0.0527931
+0.0520768
+0.050326
+0.048604
+0.0469185
+0.0452764
+0.0436823
+0.0421419
+0.0406613
+0.0392471
+0.0379068
+0.0366485
+0.0354755
+0.0343807
+0.0322644
+0.0301523
+0.0280522
+0.0259646
+0.0238858
+0.0217768
+0.0196059
+0.0174401
+0.0152812
+0.013133
+0.0110015
+0.00889798
+0.00677389
+0.00459993
+0.00244797
+0.00037476
+-0.00173353
+-0.00365718
+-0.00408014
+-0.00253138
+-0.000562261
+0.00147967
+0.00327307
+0.00527872
+0.00739019
+0.00953631
+0.0116891
+0.0138508
+0.0160205
+0.0181952
+0.0201479
+0.0216684
+0.0232806
+0.0249732
+0.0267382
+0.028399
+0.0299296
+0.0315382
+0.0332134
+0.0349457
+0.036727
+0.0385505
+0.0404105
+0.0423022
+0.0436464
+0.0449173
+0.0462571
+0.0465894
+0.0469296
+0.0473688
+0.0478878
+0.0484922
+0.0491007
+0.0497951
+0.0505749
+0.0513846
+0.0522356
+0.0531633
+0.0540642
+0.0544401
+0.0548678
+0.0553789
+0.0559711
+0.056636
+0.0572889
+0.0578537
+0.0584873
+0.0591873
+0.0599592
+0.0608003
+0.0644498
+0.0632481
+0.0620861
+0.0609146
+0.0598004
+0.0587467
+0.0577528
+0.0568195
+0.0559565
+0.0551618
+0.0544432
+0.0538042
+0.0532477
+0.0527764
+0.0523925
+0.0520935
+0.0518719
+0.0513229
+0.0507761
+0.049476
+0.0478213
+0.0462112
+0.0446506
+0.0431447
+0.0416997
+0.0403219
+0.0390186
+0.0377973
+0.0366455
+0.0345233
+0.0324093
+0.0302985
+0.0281976
+0.0261081
+0.0239524
+0.0218037
+0.0196643
+0.0175375
+0.0154286
+0.0133461
+0.0111774
+0.00899998
+0.00682432
+0.00466082
+0.00251879
+0.000400284
+-0.00172985
+-0.00360921
+-0.00417626
+-0.00244587
+-0.000535575
+0.000894926
+0.00295773
+0.0051201
+0.00729938
+0.00942545
+0.0114572
+0.0135386
+0.0156006
+0.0170897
+0.0186021
+0.020219
+0.021929
+0.0237182
+0.0253298
+0.0268566
+0.0284702
+0.0301568
+0.0319046
+0.0337043
+0.0355478
+0.0374288
+0.0393374
+0.0411049
+0.0423455
+0.0436543
+0.0450317
+0.0457921
+0.0461382
+0.0465848
+0.0471139
+0.0476489
+0.0482648
+0.0489711
+0.0497638
+0.0505759
+0.0514403
+0.0523821
+0.053113
+0.0534782
+0.0539135
+0.0544336
+0.055036
+0.0557121
+0.0563262
+0.0568925
+0.0575285
+0.0582401
+0.0590244
+0.0598786
+0.0634466
+0.062236
+0.0610765
+0.0599627
+0.0588972
+0.0578271
+0.0568172
+0.0558682
+0.0549902
+0.0541814
+0.0534496
+0.0527986
+0.0522314
+0.0517508
+0.0513592
+0.0510542
+0.0508281
+0.0505255
+0.04997
+0.0495053
+0.0488057
+0.0472292
+0.0457033
+0.0442334
+0.0428251
+0.0414847
+0.040219
+0.0390045
+0.036891
+0.0347816
+0.0326752
+0.030564
+0.0284085
+0.0262589
+0.0241167
+0.0219841
+0.0198641
+0.0176769
+0.0154887
+0.0133014
+0.0111154
+0.00893174
+0.0067526
+0.00458447
+0.00245669
+0.000483455
+-0.00109965
+-0.00201548
+-0.00279738
+-0.00124528
+0.000142488
+0.00153804
+0.00325825
+0.0050707
+0.00700391
+0.00904902
+0.0111496
+0.0126807
+0.0140489
+0.0155484
+0.0171704
+0.0189024
+0.0207213
+0.0222685
+0.0237901
+0.0254096
+0.0271095
+0.0288756
+0.0306965
+0.032563
+0.0344677
+0.0363909
+0.0383397
+0.0398338
+0.0411202
+0.0424668
+0.0438814
+0.0450617
+0.0454133
+0.0458108
+0.0462836
+0.046815
+0.0474418
+0.0481601
+0.0489501
+0.0497463
+0.0506249
+0.0515816
+0.0522357
+0.0525901
+0.0530327
+0.0535613
+0.0541734
+0.0548601
+0.0554252
+0.0559922
+0.0566383
+0.0573609
+0.0581571
+0.0590192
+0.0624947
+0.0612653
+0.0600906
+0.0589738
+0.0579167
+0.0569098
+0.0559492
+0.0549878
+0.0540955
+0.0532731
+0.0525286
+0.0518661
+0.0512886
+0.050799
+0.0504001
+0.0500892
+0.0498588
+0.0497238
+0.0492482
+0.0487767
+0.0483997
+0.0481124
+0.046835
+0.0454017
+0.0440308
+0.0427282
+0.0414503
+0.0393463
+0.0372522
+0.0351379
+0.0329904
+0.0308489
+0.0287148
+0.0265887
+0.024413
+0.0222402
+0.0200714
+0.0179078
+0.0157518
+0.0136068
+0.0114791
+0.00938046
+0.00728538
+0.00521743
+0.00329761
+0.00165254
+0.000522279
+-0.0005715
+-0.000811096
+-0.000696147
+-0.000257659
+0.00154714
+0.00348483
+0.00521245
+0.00713459
+0.00851407
+0.00981965
+0.01104
+0.0125164
+0.0141434
+0.0159033
+0.0176885
+0.0192191
+0.020733
+0.0223593
+0.0240753
+0.025863
+0.0277087
+0.0296015
+0.0315267
+0.0334719
+0.0354457
+0.0372975
+0.0385893
+0.0399533
+0.0413566
+0.042808
+0.0443202
+0.0446849
+0.0450837
+0.0455238
+0.046064
+0.0467008
+0.0474176
+0.0481682
+0.0489772
+0.0498693
+0.0508402
+0.0514194
+0.0517794
+0.0522289
+0.0527656
+0.0533868
+0.0540835
+0.0545886
+0.0551642
+0.05582
+0.056553
+0.0573555
+0.0582183
+0.0616061
+0.0603585
+0.0591658
+0.0580313
+0.0569585
+0.0559489
+0.0549926
+0.0540916
+0.0532656
+0.0524406
+0.0516842
+0.0510106
+0.0504233
+0.0499253
+0.0495193
+0.0492029
+0.0489683
+0.0488309
+0.0486146
+0.0481368
+0.0477548
+0.0474636
+0.04726
+0.0466437
+0.0453103
+0.0439784
+0.0418868
+0.0397892
+0.037652
+0.0355214
+0.0333954
+0.0312329
+0.0290747
+0.0269216
+0.0247752
+0.0226372
+0.0205103
+0.0183985
+0.0162664
+0.0141472
+0.0120509
+0.00999531
+0.00801159
+0.00616616
+0.00449746
+0.00311673
+0.00204633
+0.000803512
+0.00112194
+0.000281853
+0.000853066
+0.00223576
+0.00386402
+0.00500657
+0.00610842
+0.00696602
+0.0080986
+0.00952548
+0.0111555
+0.0129509
+0.0145956
+0.0161882
+0.0176902
+0.0193242
+0.0210596
+0.0228733
+0.024748
+0.026671
+0.0286145
+0.030588
+0.0325893
+0.034423
+0.0360984
+0.0374316
+0.0388317
+0.040301
+0.0418119
+0.0433588
+0.0440488
+0.0444115
+0.0448582
+0.0454063
+0.0460391
+0.0467194
+0.0474659
+0.0482866
+0.0491912
+0.0501753
+0.0506716
+0.05105
+0.0515058
+0.05205
+0.0526796
+0.0533282
+0.0538282
+0.0544119
+0.0550766
+0.0558144
+0.0566159
+0.0574898
+0.0607834
+0.0595186
+0.0583087
+0.0571572
+0.0560677
+0.0550416
+0.0540768
+0.0531665
+0.0523258
+0.0515645
+0.0508863
+0.0502362
+0.0496398
+0.0491338
+0.0487212
+0.0483996
+0.0481497
+0.0479906
+0.0479312
+0.0475892
+0.0472028
+0.0469082
+0.0467022
+0.0465984
+0.0465755
+0.0444935
+0.0423671
+0.0402435
+0.0380918
+0.0359448
+0.0338034
+0.0316687
+0.0295423
+0.027408
+0.0252723
+0.0231469
+0.021035
+0.0189409
+0.0168714
+0.0148368
+0.0128535
+0.0109496
+0.00914294
+0.00749814
+0.00598155
+0.00450501
+0.00356461
+0.00249579
+0.00183089
+0.00173824
+0.00134862
+0.00169116
+0.00249744
+0.00331441
+0.00430397
+0.0052594
+0.00663086
+0.00824937
+0.00994415
+0.0115055
+0.0131886
+0.0146705
+0.0163129
+0.0180719
+0.0199167
+0.0218255
+0.0237741
+0.0257458
+0.0277504
+0.0297813
+0.0315908
+0.0332646
+0.0349956
+0.0363588
+0.0377972
+0.0393052
+0.040875
+0.0424252
+0.0434918
+0.0438385
+0.044291
+0.0448326
+0.0454254
+0.046109
+0.0468511
+0.0476824
+0.0485983
+0.0495941
+0.0500034
+0.0504053
+0.0508669
+0.0514178
+0.0520551
+0.0526409
+0.0531474
+0.0537384
+0.0544061
+0.0551412
+0.0559524
+0.0568365
+0.0600151
+0.0587484
+0.0575223
+0.0563548
+0.0552494
+0.0542077
+0.0532277
+0.0523028
+0.051448
+0.0506736
+0.0499833
+0.0493805
+0.0488566
+0.0484192
+0.0480092
+0.0476526
+0.0473906
+0.047229
+0.0471686
+0.0471178
+0.0467463
+0.0464496
+0.0462415
+0.0461366
+0.0461357
+0.0449717
+0.0428334
+0.0407007
+0.0385654
+0.0364251
+0.0342913
+0.032165
+0.0300481
+0.0279425
+0.025851
+0.0237774
+0.0217269
+0.0197065
+0.0177265
+0.0158024
+0.0139552
+0.0121764
+0.0105287
+0.00879947
+0.00726805
+0.00595612
+0.00492881
+0.00365202
+0.00298169
+0.0026928
+0.00171006
+0.00105378
+0.000735053
+0.00151957
+0.00275015
+0.00393119
+0.00554381
+0.00685751
+0.00842025
+0.0102052
+0.011692
+0.0133413
+0.0151286
+0.0170105
+0.0189589
+0.0209299
+0.0229369
+0.0249748
+0.026856
+0.0287757
+0.0304823
+0.0322138
+0.0338925
+0.0353877
+0.0368641
+0.0384087
+0.0400137
+0.0415841
+0.0430183
+0.0433688
+0.0438026
+0.0443106
+0.0449103
+0.0455812
+0.0463318
+0.0471722
+0.0480978
+0.04883
+0.0494234
+0.0498485
+0.0503153
+0.0508722
+0.0515162
+0.0520368
+0.0525491
+0.0531414
+0.0538046
+0.0545477
+0.0553676
+0.0562609
+0.059301
+0.0580199
+0.0567944
+0.0556259
+0.0545057
+0.0534506
+0.0524565
+0.0515179
+0.0506499
+0.0498631
+0.0491614
+0.0485484
+0.0480277
+0.0475897
+0.0472423
+0.0469837
+0.046722
+0.0465581
+0.0464968
+0.0465388
+0.0463659
+0.0460772
+0.0458809
+0.0457752
+0.0457743
+0.0454484
+0.0433158
+0.0411894
+0.0390701
+0.0369591
+0.0348579
+0.0327685
+0.0306932
+0.028635
+0.0265981
+0.0245876
+0.0226106
+0.0206767
+0.0187641
+0.0168824
+0.0150806
+0.0133742
+0.0117134
+0.0100099
+0.00852124
+0.00733243
+0.00611905
+0.00460473
+0.00372765
+0.00254226
+0.00166241
+0.000898001
+-0.000795259
+0.000309878
+0.00176403
+0.00269231
+0.00377906
+0.00534694
+0.00721696
+0.00879646
+0.0104435
+0.0122618
+0.0141858
+0.0161636
+0.0181689
+0.0202115
+0.022057
+0.0239607
+0.0259097
+0.0277506
+0.0294294
+0.0310287
+0.0326966
+0.0344204
+0.0360401
+0.0376183
+0.0392445
+0.0408432
+0.0424948
+0.0429601
+0.043379
+0.0438919
+0.0444913
+0.0451537
+0.0459113
+0.0467592
+0.0474361
+0.0481098
+0.0488724
+0.0493692
+0.0498539
+0.0504159
+0.0510611
+0.0515188
+0.0520306
+0.0526166
+0.0532863
+0.0540366
+0.0548641
+0.0557655
+0.0586601
+0.0573647
+0.0561249
+0.0549445
+0.0538242
+0.0527594
+0.0517627
+0.0508154
+0.0499352
+0.0491369
+0.0484247
+0.0478023
+0.0472733
+0.0468409
+0.0464944
+0.0462425
+0.0460936
+0.0459649
+0.0459029
+0.0459454
+0.0460477
+0.0457962
+0.0456092
+0.0455165
+0.0455155
+0.0456199
+0.0438753
+0.0417774
+0.0396895
+0.0376132
+0.0355508
+0.0335045
+0.0314778
+0.0294745
+0.027493
+0.025503
+0.0235485
+0.0216393
+0.0197886
+0.0179998
+0.0162198
+0.0145032
+0.0128742
+0.0113384
+0.0100164
+0.00876285
+0.00713444
+0.00582602
+0.00405895
+0.00273516
+0.00129213
+-6.54906e-05
+-0.000726643
+-0.00052707
+0.000153129
+0.000724887
+0.00233341
+0.00431361
+0.00610318
+0.00770319
+0.00953893
+0.0114723
+0.0134819
+0.0154311
+0.017303
+0.0191879
+0.021123
+0.0231037
+0.0248649
+0.0265747
+0.0282145
+0.0298777
+0.0316025
+0.0333819
+0.0352078
+0.036928
+0.0385832
+0.0402082
+0.0418848
+0.0426407
+0.0430478
+0.0435549
+0.0441619
+0.0448293
+0.0455922
+0.0461872
+0.0467959
+0.0474798
+0.0482524
+0.048978
+0.0494853
+0.0500514
+0.0506573
+0.0510839
+0.0515877
+0.0521786
+0.0528539
+0.0536102
+0.0544442
+0.0553524
+0.0580886
+0.0567812
+0.0555284
+0.054335
+0.0532051
+0.0521392
+0.0511368
+0.0501851
+0.0493075
+0.0484989
+0.0477772
+0.0471462
+0.0466098
+0.0461712
+0.0458196
+0.045564
+0.0454128
+0.045367
+0.0454036
+0.0454466
+0.0455948
+0.0455795
+0.045431
+0.0453485
+0.0453612
+0.0454659
+0.0445356
+0.0424703
+0.0404182
+0.0383814
+0.0363626
+0.0343359
+0.0323217
+0.030332
+0.0283719
+0.026448
+0.0245688
+0.0227344
+0.0208628
+0.0190542
+0.0173303
+0.015723
+0.0142376
+0.0128875
+0.0114106
+0.00991251
+0.00832118
+0.00650378
+0.00492737
+0.00340052
+0.00137232
+-0.000340087
+-0.00101451
+-0.00163567
+-0.00192737
+-0.000396436
+0.00162188
+0.00318929
+0.00492662
+0.00688289
+0.00890529
+0.010696
+0.0125151
+0.0144168
+0.0163909
+0.0183696
+0.0203407
+0.022037
+0.023766
+0.0254664
+0.0271188
+0.0288421
+0.0306252
+0.0324583
+0.0343333
+0.0362437
+0.0380367
+0.0396841
+0.041382
+0.0423952
+0.042798
+0.043308
+0.0439189
+0.0445274
+0.0451089
+0.0456068
+0.0462034
+0.0468948
+0.0476769
+0.0485453
+0.0492116
+0.0497785
+0.0503103
+0.0507273
+0.0512346
+0.0518296
+0.0525094
+0.0532706
+0.0541098
+0.0550235
+0.0575688
+0.0562648
+0.0550077
+0.0538028
+0.0526615
+0.051588
+0.0505822
+0.0496199
+0.0487371
+0.0479383
+0.0472225
+0.046584
+0.0460411
+0.045597
+0.0452409
+0.0449821
+0.0448289
+0.0447825
+0.0448432
+0.0450106
+0.0451985
+0.0454495
+0.0453186
+0.0452754
+0.0452986
+0.0454172
+0.0452924
+0.0432513
+0.0412071
+0.0391787
+0.0371687
+0.0351802
+0.0332173
+0.0312846
+0.0293881
+0.027489
+0.0255838
+0.0237278
+0.0219337
+0.0202179
+0.0185972
+0.0170801
+0.0156919
+0.0142191
+0.0124764
+0.0106035
+0.00882949
+0.0069637
+0.00512743
+0.0032367
+0.00157546
+-8.3181e-05
+-0.00145448
+-0.00306336
+-0.00286219
+-0.00124132
+0.000145983
+0.00201004
+0.00402981
+0.00590893
+0.00786484
+0.00968896
+0.0116402
+0.0136642
+0.0156612
+0.0175891
+0.0192922
+0.0210387
+0.0227938
+0.0244413
+0.0261575
+0.0279402
+0.0297774
+0.0316596
+0.0335792
+0.0355302
+0.0375077
+0.0392754
+0.0409752
+0.0422552
+0.0426593
+0.0431254
+0.0436352
+0.0441407
+0.0445418
+0.045046
+0.0456499
+0.0463496
+0.0471407
+0.0480189
+0.0489793
+0.049595
+0.0500442
+0.0504634
+0.0509733
+0.0515714
+0.0522545
+0.0530193
+0.0538625
+0.0547803
+0.0571283
+0.055814
+0.0545553
+0.0533491
+0.0522041
+0.051121
+0.0501103
+0.0491459
+0.0482545
+0.0474475
+0.0467294
+0.0461003
+0.045564
+0.045122
+0.0447621
+0.0445005
+0.0443456
+0.0442987
+0.0443601
+0.0445293
+0.0448008
+0.0451608
+0.045294
+0.0452688
+0.0453315
+0.0454604
+0.0456838
+0.0440337
+0.0420276
+0.0400407
+0.0380763
+0.0361378
+0.0342298
+0.0322796
+0.0303588
+0.0284771
+0.0266426
+0.0248658
+0.02316
+0.0215331
+0.0199987
+0.0185125
+0.0167184
+0.0148498
+0.0129358
+0.0111075
+0.00931013
+0.00727613
+0.00519795
+0.00325907
+0.00120713
+-0.000417869
+-0.00188926
+-0.00357788
+-0.00427872
+-0.0026738
+-0.000757704
+0.00126964
+0.00311817
+0.00503465
+0.00700784
+0.00905114
+0.0108452
+0.0127485
+0.0147282
+0.0166718
+0.0184211
+0.0201732
+0.0218751
+0.0235746
+0.0253496
+0.0271853
+0.0290702
+0.0309954
+0.0329537
+0.0349397
+0.0369488
+0.0389038
+0.0405834
+0.0422285
+0.0425433
+0.0429484
+0.0433727
+0.0436711
+0.0440765
+0.044586
+0.045196
+0.0459026
+0.0467013
+0.0475875
+0.0485565
+0.0495079
+0.0498545
+0.0502752
+0.0507871
+0.0513872
+0.0520728
+0.0528403
+0.0536862
+0.054607
+0.056769
+0.0554462
+0.0541789
+0.0529641
+0.0518136
+0.0507316
+0.0497226
+0.0487642
+0.0478657
+0.047052
+0.0463278
+0.0456949
+0.0451538
+0.0447136
+0.0443772
+0.0441225
+0.0439663
+0.043919
+0.0439809
+0.0441515
+0.0444254
+0.0447884
+0.0452499
+0.0453501
+0.0454307
+0.0455985
+0.0458315
+0.0449095
+0.0429442
+0.0410018
+0.0390564
+0.0370984
+0.0351679
+0.0332696
+0.0314095
+0.0295946
+0.0278338
+0.0261381
+0.0245089
+0.0229309
+0.0212409
+0.0193634
+0.017402
+0.0154782
+0.0136352
+0.0116727
+0.00969663
+0.00776455
+0.00564699
+0.0035867
+0.0016718
+-9.56806e-05
+-0.00203068
+-0.00407313
+-0.00555845
+-0.00356746
+-0.00164932
+0.000204356
+0.0021549
+0.00411945
+0.00609622
+0.007979
+0.00992915
+0.0119462
+0.0140026
+0.0159623
+0.0177076
+0.0194476
+0.0211152
+0.0228713
+0.0246969
+0.0265777
+0.0285028
+0.0304639
+0.0324543
+0.0344672
+0.0364975
+0.0385453
+0.0402939
+0.042015
+0.0424498
+0.0428156
+0.0430064
+0.0433073
+0.0437161
+0.0442297
+0.0448446
+0.0455566
+0.0463613
+0.0472539
+0.0482251
+0.0492601
+0.0497605
+0.050182
+0.0506948
+0.051296
+0.0519828
+0.0527516
+0.053599
+0.0545212
+0.0564841
+0.0551618
+0.0538841
+0.0526665
+0.0515104
+0.0504219
+0.0494066
+0.0484675
+0.0475633
+0.0467444
+0.0460153
+0.0453804
+0.0448436
+0.0444037
+0.044065
+0.0438333
+0.0436937
+0.0436461
+0.0437084
+0.0438801
+0.0441556
+0.0445208
+0.044985
+0.0455343
+0.045617
+0.045802
+0.0460727
+0.0458732
+0.0438966
+0.0419357
+0.0399987
+0.0380892
+0.0362115
+0.034371
+0.0325737
+0.0308275
+0.0291413
+0.0275117
+0.0258783
+0.0239844
+0.0220503
+0.0200939
+0.018191
+0.0163232
+0.0143186
+0.0123773
+0.0104853
+0.00833118
+0.00620265
+0.00413328
+0.00214969
+0.000165753
+-0.00188283
+-0.00384919
+-0.00581379
+-0.00461836
+-0.00263227
+-0.000701459
+0.00126546
+0.00331267
+0.00531343
+0.00729104
+0.00936399
+0.0113168
+0.0133259
+0.0152924
+0.0170282
+0.0187902
+0.0205415
+0.0223427
+0.0242082
+0.0261242
+0.0280805
+0.0300691
+0.032084
+0.0341187
+0.0361686
+0.0382341
+0.0401121
+0.0418408
+0.0424526
+0.042553
+0.042745
+0.0430478
+0.043459
+0.0439756
+0.044594
+0.0453099
+0.0461189
+0.0470152
+0.0479766
+0.0490169
+0.0497628
+0.0501843
+0.0506971
+0.0512983
+0.051985
+0.0527538
+0.0536011
+0.0545234
+0.056242
+0.0549233
+0.053661
+0.0524421
+0.0512839
+0.0501946
+0.0491789
+0.0482335
+0.0473445
+0.046538
+0.0458056
+0.0451677
+0.0446283
+0.0441911
+0.043859
+0.0436273
+0.0435037
+0.0434802
+0.0435427
+0.043715
+0.0439934
+0.0443599
+0.0448258
+0.045377
+0.045907
+0.0460911
+0.0463778
+0.0461872
+0.0448442
+0.0429266
+0.0410364
+0.0391775
+0.0373546
+0.0355732
+0.0338399
+0.0321624
+0.0304991
+0.0286799
+0.0267879
+0.0248182
+0.0228888
+0.0210106
+0.0190791
+0.017117
+0.0150925
+0.0129635
+0.0108579
+0.0087685
+0.00673722
+0.0047329
+0.00259635
+0.000491418
+-0.00155357
+-0.00361631
+-0.00545998
+-0.00428785
+-0.00268712
+-0.000980789
+0.00094846
+0.0029086
+0.00490214
+0.00693066
+0.00888166
+0.0108462
+0.0128529
+0.0146845
+0.0164559
+0.0183045
+0.0201786
+0.0220203
+0.023911
+0.0258491
+0.0278247
+0.0298303
+0.0318603
+0.0339085
+0.0359703
+0.0380466
+0.0400496
+0.0417311
+0.0422903
+0.0423847
+0.0425774
+0.0428814
+0.0432942
+0.0438127
+0.0444334
+0.0451519
+0.0459636
+0.0468628
+0.0478274
+0.0488708
+0.0498615
+0.0502822
+0.0507939
+0.0513941
+0.0520795
+0.0528469
+0.0536928
+0.0546135
+0.0560844
+0.054762
+0.0534966
+0.0522916
+0.051136
+0.0500484
+0.0490345
+0.0480883
+0.0471965
+0.0463912
+0.0456768
+0.0450467
+0.0445116
+0.044079
+0.0437488
+0.0435238
+0.0434068
+0.0433934
+0.0434673
+0.04364
+0.0439213
+0.0443069
+0.0447733
+0.0453251
+0.0459749
+0.0464815
+0.0466273
+0.0460154
+0.0455008
+0.0440044
+0.0421625
+0.0403555
+0.0385883
+0.0368666
+0.0351864
+0.0334338
+0.0315371
+0.0295993
+0.0276563
+0.0257531
+0.0238955
+0.0218465
+0.0197965
+0.017736
+0.0156424
+0.0135792
+0.0115468
+0.00949333
+0.00740963
+0.00538401
+0.00329013
+0.00123439
+-0.000657304
+-0.00241746
+-0.0041331
+-0.00339396
+-0.00207056
+-0.000513136
+0.0011729
+0.00301187
+0.00489711
+0.00683395
+0.00872005
+0.0106565
+0.0125049
+0.0143303
+0.0161408
+0.018023
+0.0199682
+0.0219133
+0.0238125
+0.025758
+0.02774
+0.0297514
+0.0317865
+0.0338391
+0.0359049
+0.0379847
+0.0396824
+0.041001
+0.0421959
+0.0423268
+0.0425222
+0.0428265
+0.0432398
+0.043759
+0.0443804
+0.0450998
+0.0459125
+0.0468126
+0.0477782
+0.0488227
+0.0499415
+0.050475
+0.0509849
+0.0515828
+0.0522657
+0.0530304
+0.0538734
+0.0547911
+0.0560122
+0.054688
+0.0534208
+0.0522149
+0.0510736
+0.049986
+0.0489708
+0.0480342
+0.04715
+0.0463439
+0.0456287
+0.045009
+0.0444832
+0.0440503
+0.0437219
+0.0434968
+0.0433812
+0.0433761
+0.0434778
+0.0436748
+0.0439559
+0.0443435
+0.0448157
+0.0453791
+0.0460281
+0.0467707
+0.0465604
+0.0459475
+0.0454322
+0.0450176
+0.0433701
+0.0416156
+0.0399042
+0.0382013
+0.0363134
+0.0344134
+0.0324629
+0.0305449
+0.0286551
+0.0265885
+0.0245435
+0.0225258
+0.0204787
+0.0184108
+0.0163524
+0.014295
+0.0122179
+0.0101885
+0.00816317
+0.00612738
+0.0041616
+0.00236032
+0.000476598
+-0.00122742
+-0.00245901
+-0.0022971
+-0.00111463
+0.000170731
+0.00163768
+0.00336608
+0.00508816
+0.00677417
+0.00853287
+0.0104486
+0.0124421
+0.0143067
+0.0161199
+0.0180043
+0.0199514
+0.0219311
+0.0238828
+0.0258528
+0.0278281
+0.0298336
+0.0318634
+0.0338886
+0.0358968
+0.0377008
+0.039037
+0.0403768
+0.0417885
+0.0423407
+0.0425772
+0.0428836
+0.0432964
+0.0438149
+0.0444355
+0.045154
+0.0459657
+0.0468649
+0.0478294
+0.0488728
+0.0499905
+0.0507618
+0.0512687
+0.0518634
+0.0525427
+0.0533034
+0.0541421
+0.0550553
+0.0560255
+0.0547017
+0.0534348
+0.0522292
+0.0510891
+0.0500099
+0.0489953
+0.0480592
+0.0472052
+0.0464
+0.0456858
+0.0450668
+0.0445471
+0.0441294
+0.0438027
+0.0435779
+0.0434626
+0.0434575
+0.043559
+0.0437596
+0.0440684
+0.0444831
+0.0449565
+0.0455265
+0.046176
+0.0469163
+0.0465964
+0.0459841
+0.0454691
+0.0450549
+0.0446526
+0.042942
+0.0411184
+0.0392263
+0.0372934
+0.035366
+0.0334362
+0.0313786
+0.0293403
+0.0273256
+0.0253095
+0.0232426
+0.0211912
+0.0191103
+0.0170569
+0.0150422
+0.0130501
+0.011013
+0.00904781
+0.00715323
+0.0052247
+0.00340312
+0.00169007
+0.000333153
+-0.000688571
+-0.00110389
+5.14483e-05
+0.0011877
+0.00244388
+0.00389082
+0.00545991
+0.00712787
+0.00883287
+0.010695
+0.0126021
+0.0144431
+0.0162314
+0.018063
+0.0199493
+0.0218808
+0.0238364
+0.0258275
+0.0278428
+0.0298498
+0.0318113
+0.033801
+0.0358141
+0.0371151
+0.0384782
+0.039852
+0.0412691
+0.0422611
+0.0424981
+0.0428459
+0.043293
+0.0438446
+0.0444972
+0.0452357
+0.0460661
+0.0469841
+0.0479807
+0.0490209
+0.0501353
+0.0511408
+0.0516441
+0.0522344
+0.052909
+0.0536645
+0.0544977
+0.055405
+0.0560933
+0.0547711
+0.0535059
+0.0523019
+0.0511635
+0.050095
+0.049101
+0.0481745
+0.0473236
+0.0465593
+0.0458476
+0.0452308
+0.044713
+0.0442975
+0.0439848
+0.0437609
+0.0436461
+0.043641
+0.0437458
+0.0439497
+0.0442571
+0.04467
+0.0451855
+0.0457701
+0.0464162
+0.0471527
+0.046677
+0.0460858
+0.0455923
+0.0451984
+0.0448888
+0.0440404
+0.0421396
+0.0402058
+0.038247
+0.0361977
+0.034166
+0.0321552
+0.0301499
+0.0280975
+0.0260214
+0.0239593
+0.0219223
+0.0199179
+0.017923
+0.0159065
+0.0139427
+0.0120155
+0.010065
+0.00821484
+0.0063503
+0.00466372
+0.00323497
+0.00201083
+0.00113795
+0.000637218
+0.00142795
+0.00245524
+0.00352951
+0.00476334
+0.00617723
+0.00774411
+0.00938563
+0.0111051
+0.0128219
+0.0146143
+0.0163987
+0.0182404
+0.0201242
+0.022017
+0.0239606
+0.0259393
+0.0279417
+0.0299112
+0.0318689
+0.033853
+0.035338
+0.0366363
+0.0380122
+0.0393828
+0.0407707
+0.042195
+0.0424641
+0.0428026
+0.0432496
+0.0438017
+0.0444548
+0.045194
+0.0460251
+0.0469439
+0.0479452
+0.0490088
+0.0501421
+0.0513438
+0.0521089
+0.052694
+0.0533628
+0.054112
+0.0549384
+0.0557778
+0.0562445
+0.0549259
+0.0536644
+0.052464
+0.0513291
+0.0502641
+0.0492736
+0.0483621
+0.0475341
+0.046782
+0.0460964
+0.045483
+0.0449681
+0.044555
+0.0442467
+0.0440453
+0.0439351
+0.0439301
+0.0440342
+0.0442466
+0.0445529
+0.0449631
+0.0454752
+0.0460859
+0.0467578
+0.047489
+0.0468585
+0.0462697
+0.0457782
+0.0453872
+0.0450994
+0.0449167
+0.0430776
+0.0410357
+0.0390099
+0.0370029
+0.0350179
+0.0329393
+0.030873
+0.0288251
+0.0267998
+0.0248025
+0.0228069
+0.0208024
+0.0188395
+0.0168737
+0.0149433
+0.0130628
+0.0111782
+0.00938102
+0.00768098
+0.00612049
+0.00484797
+0.00377493
+0.00299624
+0.00253067
+0.00291568
+0.00384677
+0.00469842
+0.00578039
+0.00711032
+0.00847571
+0.00999214
+0.0115587
+0.0131804
+0.0148961
+0.016722
+0.0185513
+0.0204148
+0.022318
+0.0242695
+0.0262146
+0.0281306
+0.0300842
+0.0320649
+0.0336234
+0.0347635
+0.0359803
+0.0372514
+0.038605
+0.0400313
+0.0415178
+0.0425328
+0.0428708
+0.0433171
+0.0438602
+0.044501
+0.0452389
+0.0460693
+0.0469872
+0.0479876
+0.0490495
+0.0501818
+0.0513826
+0.0526472
+0.0532399
+0.053839
+0.0545136
+0.0552668
+0.0560956
+0.0564803
+0.0551673
+0.0539114
+0.0527167
+0.0515874
+0.0505278
+0.0495426
+0.0486361
+0.0478128
+0.0470746
+0.0463908
+0.0458015
+0.0453037
+0.0448937
+0.0445877
+0.0443879
+0.0442956
+0.0443116
+0.0444289
+0.0446394
+0.0449535
+0.0453601
+0.0458678
+0.0464733
+0.0471729
+0.0478039
+0.0471301
+0.0465498
+0.0460656
+0.045677
+0.045391
+0.0452095
+0.0438659
+0.0418624
+0.0398607
+0.0377918
+0.0357375
+0.0337004
+0.0316837
+0.0296918
+0.0276959
+0.0256993
+0.0237218
+0.0217493
+0.0198227
+0.0179248
+0.0160489
+0.0141792
+0.0123323
+0.0106013
+0.00903577
+0.00770154
+0.00653009
+0.00560398
+0.00482399
+0.00444888
+0.00464152
+0.00534576
+0.00603518
+0.00700917
+0.0082297
+0.00956547
+0.0108765
+0.0122855
+0.013821
+0.0154748
+0.0172395
+0.0190881
+0.020893
+0.0227657
+0.0246743
+0.026523
+0.0284203
+0.0298097
+0.0307969
+0.0318955
+0.0330897
+0.0343615
+0.0356902
+0.0370995
+0.0385746
+0.040115
+0.0417137
+0.0430447
+0.0434773
+0.0440148
+0.0446534
+0.0453888
+0.0462165
+0.0471315
+0.0481289
+0.0491878
+0.0503169
+0.0515146
+0.052776
+0.0536532
+0.0542075
+0.0548437
+0.0555591
+0.0563258
+0.0567911
+0.0554879
+0.054242
+0.0530572
+0.0519367
+0.0508846
+0.0499063
+0.0490066
+0.0481897
+0.0474576
+0.0467793
+0.046195
+0.0457084
+0.0453225
+0.0450328
+0.044835
+0.0447436
+0.0447594
+0.0448823
+0.0451113
+0.0454337
+0.0458495
+0.0463607
+0.0469599
+0.0476483
+0.0481616
+0.0474929
+0.0469154
+0.0464308
+0.0460453
+0.0457616
+0.0455815
+0.0447133
+0.0426548
+0.0406102
+0.0385815
+0.0365716
+0.0345837
+0.0325878
+0.0305967
+0.0286046
+0.0266333
+0.024699
+0.0227729
+0.020874
+0.018931
+0.0170359
+0.0152203
+0.0135164
+0.0119418
+0.0105368
+0.00931531
+0.00821664
+0.00741438
+0.00675689
+0.00643001
+0.00654593
+0.00699449
+0.00758386
+0.0084638
+0.00940219
+0.0105422
+0.0119061
+0.013333
+0.014762
+0.0163207
+0.0180027
+0.0197845
+0.0215702
+0.0233887
+0.0251785
+0.0263338
+0.0271022
+0.0280212
+0.0290746
+0.0302217
+0.0314794
+0.0328043
+0.0341936
+0.0356576
+0.0371898
+0.0387854
+0.0404366
+0.0421371
+0.0437431
+0.0442773
+0.0449122
+0.0456434
+0.0464666
+0.0473768
+0.0483692
+0.0494228
+0.0505468
+0.0517391
+0.0529952
+0.0539806
+0.0544975
+0.0550967
+0.0557756
+0.0565236
+0.0571764
+0.0558823
+0.0546453
+0.0534695
+0.052359
+0.0513171
+0.0503472
+0.0494555
+0.0486461
+0.0479233
+0.0472662
+0.0466881
+0.0462066
+0.045825
+0.0455456
+0.0453704
+0.0452833
+0.0452989
+0.0454203
+0.0456466
+0.0459747
+0.046386
+0.0468958
+0.0475012
+0.0481986
+0.0486154
+0.0479506
+0.0473753
+0.0468954
+0.0465138
+0.0462329
+0.0460547
+0.0454884
+0.0434666
+0.041462
+0.0394772
+0.0374814
+0.0354879
+0.0334919
+0.0315218
+0.0295827
+0.0276328
+0.0257034
+0.0237425
+0.0218254
+0.0199647
+0.0181777
+0.0164883
+0.0148993
+0.0134732
+0.012163
+0.010937
+0.00993533
+0.00925039
+0.008808
+0.00851051
+0.00847095
+0.0087617
+0.00930095
+0.010049
+0.0107122
+0.0117159
+0.0129293
+0.0142479
+0.015677
+0.0172397
+0.0188735
+0.0205042
+0.0221762
+0.0233679
+0.0238311
+0.0244824
+0.0253071
+0.0262889
+0.0274038
+0.0286177
+0.0299429
+0.0313178
+0.0327703
+0.034295
+0.0358855
+0.0375365
+0.0392404
+0.0409905
+0.0427776
+0.0445699
+0.0452444
+0.0459704
+0.0467878
+0.0476919
+0.0486778
+0.0497408
+0.0508613
+0.0520464
+0.0532953
+0.0542834
+0.0547739
+0.0552064
+0.0557009
+0.0562764
+0.0576426
+0.0563591
+0.0551328
+0.0539662
+0.0528635
+0.0518301
+0.05087
+0.0499876
+0.049187
+0.0484723
+0.047835
+0.0472683
+0.0467929
+0.046416
+0.0461402
+0.0459673
+0.0458984
+0.0459262
+0.046046
+0.0462693
+0.0465946
+0.0470182
+0.0475216
+0.0481191
+0.0488077
+0.0491279
+0.0484677
+0.0478986
+0.047424
+0.0470468
+0.0467692
+0.046593
+0.0463541
+0.0443718
+0.0423762
+0.0403741
+0.0383821
+0.036413
+0.0344706
+0.0325411
+0.0305479
+0.0285836
+0.0266546
+0.0247692
+0.022938
+0.0211753
+0.019499
+0.017904
+0.0164222
+0.0150134
+0.0137381
+0.0126498
+0.0117572
+0.011119
+0.0106477
+0.0104032
+0.0104636
+0.0106346
+0.0109715
+0.0115454
+0.0121963
+0.0130704
+0.0141724
+0.0153655
+0.0166827
+0.0181232
+0.0196174
+0.0210827
+0.0211898
+0.0214842
+0.0219872
+0.0226914
+0.0235788
+0.0246297
+0.0258107
+0.027096
+0.0284887
+0.0299181
+0.0314352
+0.0330217
+0.0346706
+0.0363768
+0.0381326
+0.039919
+0.0417192
+0.0435551
+0.0454225
+0.0463891
+0.0471992
+0.0480955
+0.0490734
+0.0501279
+0.0512545
+0.0524343
+0.0536741
+0.054261
+0.0545885
+0.0550013
+0.0554977
+0.0560595
+0.0577422
+0.0569144
+0.0556979
+0.0545423
+0.0534516
+0.0524297
+0.0514809
+0.0506091
+0.0498185
+0.0491071
+0.0484711
+0.0479268
+0.0474625
+0.047091
+0.0468192
+0.0466488
+0.0465809
+0.046616
+0.0467532
+0.0469747
+0.047295
+0.0477139
+0.0482288
+0.0488276
+0.0495064
+0.0497276
+0.0490767
+0.0485147
+0.0480462
+0.0476739
+0.0474
+0.0472262
+0.0471536
+0.0452629
+0.0432742
+0.0413059
+0.0393199
+0.0373298
+0.0353593
+0.0334149
+0.0314917
+0.0296031
+0.0277465
+0.0259406
+0.0241983
+0.0225293
+0.0209359
+0.019382
+0.0179362
+0.0165875
+0.0153833
+0.0143562
+0.013546
+0.0129989
+0.0125813
+0.0123861
+0.0122502
+0.0123344
+0.0125899
+0.0131427
+0.0138233
+0.0146075
+0.015607
+0.0166489
+0.0178652
+0.0191635
+0.0193623
+0.0192308
+0.0193482
+0.0196643
+0.0202126
+0.0209765
+0.0219334
+0.0230591
+0.0242978
+0.025659
+0.0271199
+0.0286177
+0.0302002
+0.0318483
+0.033555
+0.0353151
+0.037099
+0.0389062
+0.0407511
+0.0426288
+0.0445351
+0.0464664
+0.0477077
+0.0485947
+0.0495627
+0.0506071
+0.0517232
+0.0529065
+0.0538992
+0.0541403
+0.0544685
+0.0548823
+0.0553645
+0.0559268
+0.0578894
+0.0574554
+0.0563416
+0.0551995
+0.054122
+0.053113
+0.0521766
+0.0513166
+0.0505371
+0.0498233
+0.0491966
+0.0486604
+0.048218
+0.0478569
+0.0475894
+0.0474218
+0.047355
+0.0473895
+0.0475251
+0.0477605
+0.0480779
+0.04849
+0.0489967
+0.0495951
+0.0502819
+0.0503983
+0.0497632
+0.0492091
+0.0487473
+0.0483803
+0.0481104
+0.0479392
+0.0478677
+0.0461342
+0.0441253
+0.0421346
+0.0401647
+0.0382186
+0.0362964
+0.034405
+0.0325403
+0.0307163
+0.0289432
+0.0272309
+0.0255758
+0.0239489
+0.0223416
+0.020841
+0.0194715
+0.0181886
+0.0170719
+0.0161543
+0.0154323
+0.014885
+0.0144254
+0.0141614
+0.0140344
+0.0140895
+0.0143142
+0.0147793
+0.0154593
+0.0162424
+0.017146
+0.0180821
+0.0181719
+0.0177552
+0.0175508
+0.0174571
+0.0175812
+0.0179275
+0.0185273
+0.0193578
+0.0203908
+0.0215714
+0.0228881
+0.0243283
+0.025818
+0.027399
+0.0290593
+0.030786
+0.0325487
+0.0343269
+0.03614
+0.0379929
+0.0398801
+0.0417969
+0.0437394
+0.0457044
+0.047689
+0.0491839
+0.0501405
+0.0511731
+0.0522771
+0.0534482
+0.0538506
+0.0540919
+0.0544204
+0.0548346
+0.055317
+0.0558798
+0.0581188
+0.0576866
+0.0570543
+0.0559268
+0.0548636
+0.0538685
+0.0529454
+0.0520982
+0.0513272
+0.0506243
+0.0500076
+0.0494802
+0.0490452
+0.0487049
+0.0484466
+0.0482819
+0.0482163
+0.0482502
+0.0483833
+0.0486149
+0.0489435
+0.0493512
+0.0498491
+0.0504374
+0.0511129
+0.051154
+0.0505284
+0.0499828
+0.0495282
+0.0491671
+0.0489015
+0.0487331
+0.0479758
+0.0462515
+0.0445645
+0.042916
+0.0411089
+0.0392098
+0.0373386
+0.0355028
+0.033699
+0.0319412
+0.03024
+0.0285518
+0.0268894
+0.0252815
+0.0237645
+0.0223595
+0.0210607
+0.019864
+0.0188468
+0.0180234
+0.0172901
+0.016627
+0.016207
+0.0159751
+0.0158572
+0.0159198
+0.0161281
+0.0165194
+0.0171306
+0.0179176
+0.0178907
+0.0169634
+0.0162484
+0.015779
+0.0155486
+0.015625
+0.0158804
+0.0162999
+0.0169574
+0.017861
+0.0189556
+0.020209
+0.0215672
+0.0230493
+0.0246157
+0.0262692
+0.0279965
+0.0297849
+0.0316154
+0.033432
+0.0352911
+0.0371863
+0.0391125
+0.0410648
+0.0430337
+0.0449179
+0.0465187
+0.0481659
+0.049855
+0.0515815
+0.0529009
+0.053738
+0.0538909
+0.054132
+0.0544603
+0.0548742
+0.0553563
+0.0559187
+0.0584296
+0.0579997
+0.0576499
+0.0567262
+0.0556782
+0.054698
+0.0537892
+0.0529554
+0.0521971
+0.0515061
+0.0509
+0.050382
+0.0499548
+0.0496207
+0.0493817
+0.0492245
+0.0491602
+0.0491934
+0.049324
+0.0495512
+0.0498737
+0.0502844
+0.0507733
+0.0513511
+0.0520148
+0.0519911
+0.0513757
+0.0508392
+0.0503923
+0.0500375
+0.0497765
+0.0489951
+0.0472064
+0.045453
+0.0437342
+0.0420532
+0.040421
+0.0388438
+0.0373286
+0.0358832
+0.0345142
+0.0332218
+0.0315129
+0.0298546
+0.0282551
+0.0267274
+0.0252973
+0.0239716
+0.0227355
+0.0216316
+0.0207014
+0.019888
+0.0190642
+0.0184649
+0.0180733
+0.0177909
+0.0177278
+0.0176523
+0.0178175
+0.018132
+0.0186064
+0.0173931
+0.0161753
+0.0151434
+0.0143737
+0.0138505
+0.0136046
+0.0136918
+0.0141225
+0.0147795
+0.0155018
+0.0164854
+0.0176241
+0.0189092
+0.0203495
+0.0219141
+0.0235562
+0.0252791
+0.0270697
+0.0289154
+0.0307673
+0.0326312
+0.0345312
+0.0364582
+0.0384134
+0.0403927
+0.0420762
+0.0436712
+0.045316
+0.0470054
+0.0487347
+0.0504996
+0.0522917
+0.0538676
+0.0540201
+0.0542607
+0.0545882
+0.055001
+0.055482
+0.0560432
+0.0588195
+0.0583925
+0.058045
+0.0575979
+0.0565661
+0.0556015
+0.0547077
+0.0538881
+0.0531398
+0.0524612
+0.0518663
+0.0513581
+0.050939
+0.0506115
+0.0503771
+0.050227
+0.0501639
+0.0501965
+0.0503245
+0.0505472
+0.0508634
+0.0512713
+0.0517633
+0.0523301
+0.0529816
+0.0529057
+0.0523011
+0.0517742
+0.0513355
+0.0509871
+0.0501852
+0.0483414
+0.0465276
+0.0447475
+0.0429996
+0.0412887
+0.039625
+0.0380148
+0.0364652
+0.0349842
+0.0335785
+0.0322487
+0.0310166
+0.0298946
+0.0288953
+0.0280319
+0.0269189
+0.0256436
+0.0244918
+0.0234707
+0.0225209
+0.021664
+0.0209173
+0.0203331
+0.0198739
+0.01961
+0.0194458
+0.0192951
+0.0193489
+0.0189929
+0.0173628
+0.0158682
+0.014551
+0.0134195
+0.012544
+0.0119805
+0.0117431
+0.0118432
+0.0123106
+0.0130861
+0.0141472
+0.0152254
+0.0164062
+0.0177795
+0.0193044
+0.0209309
+0.0226443
+0.0244341
+0.0262846
+0.0281499
+0.0300164
+0.0319241
+0.0338661
+0.0358336
+0.0377467
+0.0392732
+0.0408602
+0.0425009
+0.0441893
+0.0459202
+0.0476889
+0.049491
+0.0513183
+0.0531728
+0.0541749
+0.0544148
+0.0547413
+0.0551531
+0.055648
+0.0562241
+0.0592487
+0.0588361
+0.0584913
+0.0582269
+0.0575237
+0.0565754
+0.0556972
+0.0548924
+0.0541538
+0.0534881
+0.0529047
+0.0524066
+0.051996
+0.0516751
+0.0514456
+0.051303
+0.0512413
+0.0512732
+0.0513985
+0.0516166
+0.0519262
+0.0523258
+0.0528134
+0.0533812
+0.05402
+0.0538839
+0.0532914
+0.0527831
+0.0523533
+0.0515334
+0.0496404
+0.0477728
+0.0459338
+0.044127
+0.0423563
+0.0406265
+0.0389362
+0.0372963
+0.0357154
+0.034193
+0.0327417
+0.0313763
+0.0301087
+0.0289514
+0.0279184
+0.0270238
+0.0262602
+0.0256491
+0.0252141
+0.0249645
+0.0242608
+0.0234641
+0.0227673
+0.0221667
+0.0217453
+0.021364
+0.0209992
+0.0208469
+0.0196848
+0.0178619
+0.0161302
+0.0145092
+0.0130556
+0.011808
+0.0108171
+0.0102069
+0.00993955
+0.0100594
+0.0105951
+0.0114869
+0.0126981
+0.0140822
+0.0153661
+0.0168246
+0.0184213
+0.0201099
+0.0218876
+0.0237345
+0.0256356
+0.0275021
+0.0294098
+0.0313544
+0.0333296
+0.0350084
+0.036518
+0.0380938
+0.0397279
+0.0414135
+0.0431445
+0.0449156
+0.0467223
+0.0485604
+0.0504215
+0.0523077
+0.0542169
+0.0545995
+0.054925
+0.0553353
+0.0558287
+0.0564029
+0.0597326
+0.0593435
+0.059013
+0.0587509
+0.0585476
+0.0576162
+0.0567541
+0.0559645
+0.0552361
+0.0545836
+0.0540121
+0.0535242
+0.0531223
+0.0528082
+0.0525836
+0.0524486
+0.0523882
+0.0524194
+0.0525419
+0.0527553
+0.0530583
+0.0534494
+0.0539268
+0.0544882
+0.0551245
+0.0548743
+0.0542925
+0.0537938
+0.0530136
+0.0510815
+0.0491711
+0.0472849
+0.0454262
+0.0435983
+0.0418053
+0.0400518
+0.0383424
+0.0366759
+0.0350548
+0.0334978
+0.032015
+0.0306173
+0.0293168
+0.028127
+0.0270625
+0.0261286
+0.0253255
+0.0246913
+0.0242391
+0.0239793
+0.0239182
+0.0240418
+0.0243599
+0.0239945
+0.0233696
+0.022815
+0.0224215
+0.0207608
+0.0188087
+0.0169017
+0.0150606
+0.0133184
+0.011718
+0.0103338
+0.00922129
+0.00849673
+0.00820046
+0.00839131
+0.00904084
+0.0100873
+0.0114389
+0.0129696
+0.0145609
+0.0160925
+0.0177552
+0.0195015
+0.0213286
+0.0232096
+0.0251187
+0.027017
+0.0289566
+0.0309298
+0.0323351
+0.0338221
+0.0353824
+0.0370066
+0.0386867
+0.0404157
+0.0421876
+0.0439973
+0.0458402
+0.0477123
+0.0496052
+0.0515213
+0.0534586
+0.0548711
+0.055195
+0.0556034
+0.0560944
+0.0566659
+0.0602924
+0.0599069
+0.0595994
+0.0593513
+0.0591719
+0.0587203
+0.0578747
+0.0570988
+0.0563828
+0.0557437
+0.0551842
+0.0547068
+0.0543136
+0.0540065
+0.0537869
+0.053656
+0.0536001
+0.0536305
+0.0537504
+0.0539589
+0.0542552
+0.0546378
+0.0551049
+0.0556544
+0.0562775
+0.055933
+0.0553624
+0.0546295
+0.0526655
+0.0507202
+0.0487956
+0.0468944
+0.0450196
+0.0431744
+0.0413603
+0.0395773
+0.0378368
+0.0361454
+0.0344993
+0.032916
+0.0314058
+0.0299797
+0.0286503
+0.0274316
+0.026339
+0.0253788
+0.0245513
+0.0238965
+0.023429
+0.0231601
+0.0230968
+0.0232243
+0.0235536
+0.0240784
+0.0246492
+0.0240871
+0.0221719
+0.0201189
+0.0180984
+0.0161223
+0.0142093
+0.0123434
+0.0105968
+0.0090456
+0.00778357
+0.00694662
+0.00663577
+0.0069133
+0.00771364
+0.00893726
+0.0104366
+0.0121107
+0.0139231
+0.0156355
+0.0173145
+0.0190885
+0.0209416
+0.02284
+0.0247701
+0.0267033
+0.0283808
+0.0297444
+0.0312011
+0.0327397
+0.0343491
+0.0360199
+0.0377439
+0.0395142
+0.0413248
+0.0431707
+0.0450475
+0.0469511
+0.0488735
+0.0508173
+0.0527804
+0.0547608
+0.0555502
+0.055956
+0.0564439
+0.0570119
+0.0609258
+0.0605443
+0.0602401
+0.0600144
+0.0598482
+0.0597507
+0.0590553
+0.0582887
+0.0575874
+0.0569618
+0.0564144
+0.0559475
+0.0555631
+0.0552629
+0.0550484
+0.0549204
+0.0548727
+0.0549025
+0.0550195
+0.0552233
+0.0555128
+0.0558868
+0.0563436
+0.0568811
+0.0574909
+0.0570562
+0.0563695
+0.0543801
+0.0524069
+0.0504515
+0.0485163
+0.0466037
+0.0447115
+0.0428438
+0.041008
+0.0392087
+0.0374512
+0.0357384
+0.034072
+0.0324678
+0.0309357
+0.0294869
+0.0281329
+0.0268825
+0.0257579
+0.0247765
+0.0239526
+0.0232813
+0.0228012
+0.0225249
+0.0224598
+0.0225905
+0.0229289
+0.0234677
+0.0241936
+0.023877
+0.0217645
+0.0196683
+0.0175936
+0.0155491
+0.0135484
+0.0116084
+0.00974264
+0.00804116
+0.0066173
+0.00561369
+0.00529474
+0.00568432
+0.00669769
+0.0081111
+0.00975429
+0.0115532
+0.0134299
+0.0153869
+0.0171182
+0.0189107
+0.0207506
+0.0226506
+0.0245789
+0.0259424
+0.0272583
+0.0286753
+0.0301837
+0.0317715
+0.0334276
+0.0351423
+0.0369073
+0.0387159
+0.0405621
+0.0424412
+0.0443488
+0.0462812
+0.0482303
+0.050199
+0.0521837
+0.0541811
+0.0559889
+0.0563915
+0.0568757
+0.0574395
+0.0616306
+0.0612535
+0.0609529
+0.0607298
+0.0605852
+0.0604999
+0.0602817
+0.0595261
+0.0588396
+0.0582274
+0.0576921
+0.0572356
+0.0568599
+0.0565666
+0.056357
+0.056232
+0.0561922
+0.0562288
+0.0563431
+0.0565421
+0.056825
+0.0571904
+0.0576368
+0.0581623
+0.0587609
+0.0582224
+0.0562133
+0.0542182
+0.0522389
+0.0502764
+0.0483274
+0.0463984
+0.0444936
+0.0426163
+0.0407703
+0.038954
+0.0371736
+0.0354393
+0.033758
+0.0321382
+0.0305896
+0.0291236
+0.0277519
+0.0264835
+0.0253413
+0.024343
+0.0235071
+0.0228381
+0.0223465
+0.0220624
+0.021994
+0.0221431
+0.022501
+0.0230494
+0.0237706
+0.0236748
+0.0215327
+0.0194006
+0.0172831
+0.0151864
+0.0131205
+0.0111025
+0.0091641
+0.00736042
+0.00577098
+0.00466355
+0.00428882
+0.00482814
+0.00606985
+0.0076669
+0.00942051
+0.0112794
+0.0132183
+0.0152256
+0.0170964
+0.0188832
+0.0207208
+0.0225472
+0.0236589
+0.0249029
+0.0262709
+0.0277384
+0.029295
+0.0309285
+0.0326274
+0.034382
+0.0361842
+0.0380271
+0.0399053
+0.0418138
+0.0437489
+0.0457022
+0.0476691
+0.0496547
+0.0516569
+0.0536738
+0.0557038
+0.0569081
+0.057388
+0.0579467
+0.0624044
+0.062032
+0.0617352
+0.061515
+0.0613722
+0.0613074
+0.0613015
+0.0608173
+0.0601455
+0.0595468
+0.0590234
+0.0585773
+0.0582102
+0.0579238
+0.0577191
+0.0575971
+0.0575582
+0.0576027
+0.0577172
+0.0579115
+0.0581876
+0.0585445
+0.0589807
+0.0594944
+0.0600835
+0.0581515
+0.0561389
+0.0541345
+0.0521452
+0.0501726
+0.0482188
+0.0462863
+0.0443777
+0.0424921
+0.0406306
+0.0388036
+0.037016
+0.0352739
+0.0335844
+0.0319558
+0.0303979
+0.0289221
+0.0275404
+0.0262617
+0.0251094
+0.0241016
+0.023257
+0.0225806
+0.0220833
+0.0217958
+0.0217265
+0.0218775
+0.0222442
+0.0227969
+0.0235233
+0.0236245
+0.0214765
+0.0193382
+0.0172131
+0.0151067
+0.0130281
+0.0109932
+0.00903137
+0.00719344
+0.00555643
+0.00437151
+0.00397528
+0.0046019
+0.00591919
+0.00761717
+0.00948537
+0.0113761
+0.013337
+0.0153288
+0.0172915
+0.01906
+0.0205913
+0.0215795
+0.0227264
+0.0240187
+0.0254343
+0.0269474
+0.0285471
+0.0302211
+0.0319576
+0.0337471
+0.0355814
+0.037454
+0.0393595
+0.0412926
+0.0432381
+0.045206
+0.0471936
+0.0491984
+0.0512184
+0.0532519
+0.0552974
+0.0573537
+0.0579785
+0.0585316
+0.0632447
+0.0628773
+0.0625844
+0.0623672
+0.0622264
+0.0621625
+0.0621758
+0.0621588
+0.0615017
+0.0609164
+0.0604048
+0.059969
+0.0596105
+0.0593308
+0.059131
+0.0590119
+0.058974
+0.0590175
+0.0591404
+0.0593301
+0.0595997
+0.0599482
+0.0603742
+0.0608761
+0.059705
+0.0581387
+0.0561202
+0.0541152
+0.0521251
+0.0501517
+0.0481971
+0.0462636
+0.0443541
+0.0424674
+0.0406048
+0.0387765
+0.0369877
+0.0352442
+0.0335531
+0.031923
+0.0303634
+0.0288858
+0.0275023
+0.0262218
+0.0250677
+0.0240581
+0.0232119
+0.0225341
+0.0220357
+0.0217476
+0.0216782
+0.0218295
+0.022197
+0.0227509
+0.0234787
+0.023776
+0.0216431
+0.0195231
+0.0174205
+0.0153426
+0.0133009
+0.0113005
+0.00936121
+0.00756059
+0.0060242
+0.00494325
+0.00459011
+0.00515815
+0.00638874
+0.00801402
+0.00985479
+0.0117373
+0.0136713
+0.0156534
+0.0176837
+0.018934
+0.0197688
+0.020785
+0.0219733
+0.0233074
+0.0247637
+0.0263151
+0.0279511
+0.0296587
+0.0314263
+0.0332444
+0.035105
+0.0370017
+0.0389193
+0.0408604
+0.0428255
+0.0448115
+0.0468158
+0.0488361
+0.0508705
+0.0529174
+0.0549754
+0.0570432
+0.0585976
+0.0591607
+0.0641487
+0.0637865
+0.0634979
+0.0632838
+0.0631451
+0.0630821
+0.0630952
+0.0631843
+0.062905
+0.0623328
+0.061833
+0.0614073
+0.0610573
+0.0607843
+0.0605893
+0.060473
+0.060436
+0.0604784
+0.0606
+0.0607946
+0.0610577
+0.0613979
+0.061814
+0.0609078
+0.059347
+0.0578271
+0.056187
+0.0541844
+0.052197
+0.0502264
+0.0482748
+0.0463446
+0.0444386
+0.0425556
+0.0406971
+0.0388731
+0.0370889
+0.0353504
+0.0336647
+0.0320402
+0.0304867
+0.0290154
+0.0276383
+0.0263644
+0.0252169
+0.0242135
+0.023373
+0.0227
+0.0222053
+0.0219194
+0.0218505
+0.0220006
+0.0223636
+0.0229087
+0.0236379
+0.0241263
+0.0220274
+0.0199482
+0.0178954
+0.0158605
+0.0138669
+0.0119425
+0.010127
+0.00849037
+0.00715644
+0.00627371
+0.00599419
+0.0064444
+0.00746591
+0.00889653
+0.0105903
+0.0124297
+0.0142746
+0.0162044
+0.0175603
+0.0182368
+0.0191213
+0.0201979
+0.0214148
+0.0227723
+0.024252
+0.0258329
+0.0274976
+0.0292317
+0.0310237
+0.032864
+0.034745
+0.0366544
+0.038585
+0.040542
+0.0425217
+0.0445198
+0.0465342
+0.0485638
+0.0506068
+0.0526617
+0.0547271
+0.0568019
+0.0588851
+0.0598322
+0.065114
+0.0647572
+0.0644729
+0.0642621
+0.0641254
+0.0640634
+0.0640763
+0.0641641
+0.0643264
+0.0637931
+0.0633048
+0.0628891
+0.0625474
+0.0622809
+0.0620906
+0.0619771
+0.0619411
+0.0619824
+0.0621011
+0.0622966
+0.0625585
+0.0628906
+0.0622416
+0.0606361
+0.0590681
+0.0575409
+0.0560576
+0.054342
+0.0523605
+0.0503963
+0.0484516
+0.0465287
+0.0446306
+0.0427561
+0.0409066
+0.0390925
+0.0373187
+0.0355915
+0.0339178
+0.032306
+0.0307658
+0.0293086
+0.027946
+0.0266868
+0.0255446
+0.0245418
+0.0236996
+0.0230356
+0.0225606
+0.0222793
+0.0222115
+0.0223592
+0.0227019
+0.0232389
+0.023965
+0.0246503
+0.0225977
+0.0205614
+0.0185556
+0.0165967
+0.0147032
+0.0129042
+0.011245
+0.00979697
+0.00866654
+0.00790756
+0.00768094
+0.00806612
+0.00891906
+0.0101468
+0.0116604
+0.013363
+0.0151476
+0.0165646
+0.0170349
+0.0177497
+0.0186572
+0.0197668
+0.0210466
+0.0224278
+0.0239289
+0.0255298
+0.027213
+0.0289624
+0.0307649
+0.032615
+0.0345049
+0.0364167
+0.0383562
+0.0403214
+0.0423087
+0.0443152
+0.0463385
+0.0483763
+0.0504219
+0.0524792
+0.0545469
+0.0566238
+0.058709
+0.0605752
+0.0661378
+0.0657865
+0.0655067
+0.0652992
+0.0651647
+0.0651037
+0.0651164
+0.0652028
+0.0653625
+0.0652943
+0.0648173
+0.0644113
+0.0640777
+0.0638176
+0.0636319
+0.0635212
+0.063486
+0.0635264
+0.0636421
+0.0638329
+0.0640917
+0.0636882
+0.0620532
+0.0604426
+0.0588695
+0.057337
+0.0558483
+0.0543075
+0.0526148
+0.0506605
+0.0487263
+0.0468148
+0.0449257
+0.043058
+0.0412221
+0.0394224
+0.0376643
+0.0359536
+0.0342976
+0.0327045
+0.031184
+0.0297473
+0.028401
+0.0271513
+0.0260263
+0.0250428
+0.024218
+0.0235686
+0.0231046
+0.02283
+0.0227638
+0.022908
+0.0232425
+0.0237674
+0.0244778
+0.0253329
+0.0233268
+0.021356
+0.0194324
+0.0175714
+0.0157953
+0.0141359
+0.0126394
+0.0113704
+0.0103937
+0.00974153
+0.00955848
+0.00987067
+0.0106211
+0.0116711
+0.0130085
+0.0145543
+0.0160126
+0.0162593
+0.0167813
+0.0175082
+0.0184276
+0.0195502
+0.0208416
+0.0222341
+0.0237463
+0.0253462
+0.0270266
+0.0287743
+0.0305786
+0.0324305
+0.0343224
+0.0362479
+0.038202
+0.0401805
+0.04218
+0.0441879
+0.0462112
+0.0482491
+0.0502998
+0.0523619
+0.0544341
+0.0565152
+0.0586042
+0.0607005
+0.0672174
+0.0668718
+0.0665965
+0.0663924
+0.0662602
+0.0662002
+0.0662127
+0.0662976
+0.0664546
+0.066664
+0.0663671
+0.0659706
+0.065645
+0.0653911
+0.0652099
+0.0651019
+0.0650675
+0.0651069
+0.0652199
+0.0654061
+0.06524
+0.0635796
+0.0619417
+0.0603281
+0.058752
+0.0572163
+0.0557244
+0.0542142
+0.0526359
+0.0510175
+0.0490939
+0.0471878
+0.0453074
+0.0434561
+0.0416377
+0.0398568
+0.0381187
+0.0364294
+0.034796
+0.0332269
+0.0317314
+0.0303206
+0.029001
+0.0277783
+0.0266797
+0.0257212
+0.0249189
+0.0242883
+0.0238382
+0.0235722
+0.0235081
+0.0236477
+0.0239719
+0.0244812
+0.0251714
+0.0260283
+0.0242289
+0.0223379
+0.0205066
+0.0187525
+0.0170995
+0.0155797
+0.0142358
+0.0131221
+0.0122472
+0.0116989
+0.0115469
+0.0118066
+0.0124523
+0.0133817
+0.0145629
+0.0158963
+0.015906
+0.0161763
+0.0167096
+0.0174529
+0.0184025
+0.0194792
+0.0207323
+0.0221317
+0.0236515
+0.0252593
+0.026943
+0.0286952
+0.0305042
+0.0323604
+0.0342561
+0.0361851
+0.0381425
+0.0401239
+0.0421261
+0.0441462
+0.0461818
+0.0482212
+0.0502731
+0.0523362
+0.0544093
+0.0564913
+0.0585812
+0.0606783
+0.0683501
+0.0680103
+0.0677397
+0.067539
+0.067409
+0.0673501
+0.0673623
+0.0674458
+0.0676002
+0.0678061
+0.0679468
+0.0675596
+0.0672416
+0.0669938
+0.0668169
+0.0667116
+0.066678
+0.0667165
+0.0668267
+0.0668763
+0.0651933
+0.0635413
+0.0619075
+0.0602931
+0.058716
+0.0571793
+0.0556864
+0.0542095
+0.052631
+0.0510922
+0.0495404
+0.0476521
+0.0457908
+0.0439598
+0.0421632
+0.0404055
+0.038692
+0.0370289
+0.0354231
+0.033883
+0.0324179
+0.0310383
+0.0297505
+0.0285599
+0.0274926
+0.0265634
+0.0257873
+0.0251785
+0.0247426
+0.0244864
+0.0244247
+0.0245591
+0.0248735
+0.0253646
+0.0260315
+0.0268609
+0.0252892
+0.0234837
+0.0217491
+0.0201037
+0.0185714
+0.0171822
+0.0159738
+0.0149762
+0.0141971
+0.0137269
+0.0135976
+0.0138188
+0.0143744
+0.0152073
+0.0162601
+0.0160544
+0.016064
+0.0163667
+0.016914
+0.0176496
+0.0185393
+0.0196085
+0.0208537
+0.0222455
+0.023758
+0.0253591
+0.0270366
+0.0287831
+0.0305869
+0.0324383
+0.0343297
+0.0362549
+0.0382086
+0.0401868
+0.042186
+0.0442034
+0.0462365
+0.0482834
+0.0503417
+0.0524021
+0.0544728
+0.0565524
+0.0586401
+0.0607351
+0.0695335
+0.0691995
+0.0689335
+0.0687364
+0.0686086
+0.0685507
+0.0685628
+0.0686413
+0.0687795
+0.0689871
+0.0692615
+0.0691815
+0.068871
+0.0686291
+0.0684564
+0.0683535
+0.0683208
+0.0683583
+0.0684659
+0.0669025
+0.0652202
+0.0635689
+0.061949
+0.0603376
+0.0587617
+0.0572262
+0.0557346
+0.0542905
+0.0527172
+0.051181
+0.0496897
+0.0482116
+0.0463727
+0.0445657
+0.0427945
+0.0410639
+0.039379
+0.0377462
+0.0361723
+0.0346655
+0.0332349
+0.0318906
+0.0306387
+0.029484
+0.0284513
+0.0275545
+0.0268071
+0.026222
+0.0257972
+0.0255515
+0.0254924
+0.0256212
+0.0259292
+0.0264008
+0.0270421
+0.0278414
+0.0264885
+0.0247706
+0.0231327
+0.0215931
+0.0201741
+0.0189032
+0.0178118
+0.016895
+0.0162084
+0.0157981
+0.0156859
+0.0158781
+0.0163639
+0.0170975
+0.0167101
+0.0164835
+0.0165137
+0.0167783
+0.0172937
+0.0180133
+0.0188948
+0.019945
+0.0211704
+0.0225427
+0.0240365
+0.0256307
+0.0273018
+0.0290365
+0.0308254
+0.0326634
+0.0345425
+0.0364564
+0.0383999
+0.0403687
+0.0423593
+0.0443688
+0.0463946
+0.0484349
+0.0504877
+0.0525517
+0.054624
+0.0566981
+0.0587807
+0.0608708
+0.0707649
+0.0704367
+0.0701754
+0.0699818
+0.0698563
+0.0697984
+0.0697969
+0.0698642
+0.07
+0.0702039
+0.0704754
+0.070811
+0.0705307
+0.0702945
+0.070126
+0.0700256
+0.0699936
+0.0700302
+0.068709
+0.0670004
+0.0653206
+0.0636719
+0.0620547
+0.0604564
+0.0588885
+0.0573564
+0.055868
+0.0544272
+0.0528941
+0.0513632
+0.0498773
+0.048445
+0.0470496
+0.0452696
+0.0435271
+0.0418267
+0.0401739
+0.0385747
+0.037036
+0.0355658
+0.0341729
+0.0328671
+0.0316538
+0.0305375
+0.0295417
+0.028679
+0.0279617
+0.0273971
+0.0269887
+0.026754
+0.0266976
+0.0268206
+0.0271205
+0.0275723
+0.028187
+0.0289547
+0.027809
+0.0261779
+0.0246337
+0.0231939
+0.0218791
+0.020713
+0.0197078
+0.0188706
+0.0182585
+0.0178953
+0.0177963
+0.0179659
+0.0183967
+0.0178012
+0.0173136
+0.017095
+0.0171488
+0.0173794
+0.0178775
+0.0185745
+0.0194436
+0.0204986
+0.0216928
+0.0230339
+0.0244978
+0.0260638
+0.0277088
+0.0294214
+0.0311938
+0.0330165
+0.0348815
+0.0367825
+0.0387141
+0.0406679
+0.0426446
+0.0446412
+0.0466552
+0.0486845
+0.0507273
+0.0527819
+0.054847
+0.0569216
+0.0590023
+0.0610269
+0.0720419
+0.0717195
+0.0714629
+0.0712728
+0.0711378
+0.0710689
+0.0710675
+0.0711335
+0.0712669
+0.0714672
+0.0717339
+0.0720662
+0.0722188
+0.0719881
+0.0718236
+0.0717255
+0.0716943
+0.0706052
+0.068874
+0.0671696
+0.0654942
+0.0638499
+0.0622374
+0.0606439
+0.0590815
+0.0575543
+0.0560711
+0.0546356
+0.0531607
+0.0516377
+0.05016
+0.048736
+0.0473705
+0.0460636
+0.0443558
+0.0426885
+0.0410703
+0.0395074
+0.0380066
+0.0365754
+0.0352224
+0.033957
+0.032784
+0.0317076
+0.0307497
+0.0299218
+0.029235
+0.0286897
+0.0282999
+0.0280762
+0.0280224
+0.0281396
+0.0284257
+0.0288629
+0.0294506
+0.0301862
+0.0292342
+0.0276872
+0.026232
+0.0248848
+0.0236641
+0.0225771
+0.0216484
+0.0208892
+0.0203379
+0.0200125
+0.019924
+0.0200756
+0.0193025
+0.0186283
+0.0181629
+0.0179547
+0.017987
+0.018207
+0.0186831
+0.0193686
+0.0202036
+0.0212326
+0.022418
+0.0237181
+0.0251422
+0.0266704
+0.0282802
+0.0299601
+0.0317024
+0.0334974
+0.0353371
+0.0372148
+0.039125
+0.0410633
+0.0430258
+0.0450094
+0.0470114
+0.0490295
+0.0510598
+0.0531015
+0.0551547
+0.0572181
+0.0592354
+0.0612126
+0.0733614
+0.0730449
+0.0727843
+0.0725848
+0.0724511
+0.0723834
+0.072382
+0.0724468
+0.0725778
+0.0727745
+0.0730364
+0.0733628
+0.073745
+0.073708
+0.0735472
+0.0734515
+0.0725842
+0.0708336
+0.0691081
+0.0674096
+0.0657403
+0.0641024
+0.0624964
+0.0609096
+0.0593543
+0.0578343
+0.0563585
+0.0549305
+0.0535004
+0.0520012
+0.0505361
+0.049123
+0.0477686
+0.0464729
+0.0452385
+0.0436433
+0.0420619
+0.0405372
+0.0390759
+0.0376854
+0.0363738
+0.0351498
+0.034018
+0.0329818
+0.032062
+0.0312689
+0.0306105
+0.0300864
+0.0297149
+0.0295019
+0.0294508
+0.0295623
+0.0298347
+0.0302572
+0.0308183
+0.031522
+0.0307495
+0.0292826
+0.0279108
+0.0266486
+0.0255
+0.0244864
+0.0236328
+0.0229394
+0.0224385
+0.022144
+0.0220641
+0.0211292
+0.0202974
+0.0196657
+0.0192255
+0.0190245
+0.019023
+0.0192311
+0.0196824
+0.0203529
+0.021164
+0.0221485
+0.0232943
+0.0245563
+0.0259405
+0.0274242
+0.0289977
+0.0306462
+0.0323517
+0.0341125
+0.0359207
+0.0377694
+0.0396529
+0.0415666
+0.0435064
+0.045469
+0.0474516
+0.0494517
+0.0514674
+0.0534968
+0.0555385
+0.0575551
+0.0595053
+0.0614689
+0.0747047
+0.074393
+0.0741332
+0.0739373
+0.073806
+0.0737396
+0.0737382
+0.0738018
+0.0739304
+0.0741235
+0.0743807
+0.0747012
+0.0750801
+0.0754522
+0.0752952
+0.0746392
+0.0728723
+0.0711287
+0.0694106
+0.0677197
+0.0660582
+0.0644284
+0.0628307
+0.0612526
+0.0597063
+0.0581955
+0.0567291
+0.0553106
+0.0539251
+0.052438
+0.0509908
+0.0495907
+0.0482494
+0.0469721
+0.0457602
+0.0446071
+0.043142
+0.0416569
+0.0402363
+0.0388873
+0.0376175
+0.0364354
+0.0353447
+0.0343486
+0.0334664
+0.0327074
+0.0320732
+0.0315734
+0.0312197
+0.031017
+0.0309683
+0.0310744
+0.0313337
+0.0317415
+0.0322769
+0.0329495
+0.0323423
+0.030951
+0.0296565
+0.02846
+0.0273808
+0.0264393
+0.0256508
+0.0250134
+0.0245548
+0.024286
+0.023227
+0.0222584
+0.0214704
+0.0208571
+0.0204425
+0.0202425
+0.0202438
+0.0204395
+0.0208647
+0.0214875
+0.0222848
+0.0232354
+0.02433
+0.025541
+0.0268762
+0.0283182
+0.0298471
+0.031452
+0.0331241
+0.0348536
+0.0366262
+0.038441
+0.0402932
+0.0421778
+0.0440907
+0.0460284
+0.0479879
+0.0499666
+0.0519623
+0.0539731
+0.0559781
+0.0579034
+0.0598409
+0.0617937
+0.0760851
+0.0757766
+0.0755215
+0.0753292
+0.0752003
+0.0751351
+0.0751338
+0.0751963
+0.0753224
+0.075512
+0.0757644
+0.0760791
+0.0764546
+0.0768794
+0.0767508
+0.0749727
+0.073217
+0.0714852
+0.0697793
+0.0680989
+0.0664469
+0.0648268
+0.0632392
+0.0616716
+0.0601361
+0.0586364
+0.0571813
+0.0557743
+0.0544054
+0.0529619
+0.0515294
+0.0501443
+0.0488182
+0.0475562
+0.0463633
+0.0452423
+0.0441649
+0.0428593
+0.0414799
+0.0401727
+0.0389449
+0.0378043
+0.0367543
+0.0357974
+0.0349518
+0.0342256
+0.0336152
+0.0331386
+0.0328018
+0.0326089
+0.0325627
+0.0326636
+0.0329103
+0.0332997
+0.0338145
+0.0344571
+0.0340017
+0.0326811
+0.0314467
+0.0303154
+0.0293046
+0.0284269
+0.0276951
+0.0270965
+0.0264288
+0.0255113
+0.0244558
+0.0235378
+0.0227903
+0.0221964
+0.0218074
+0.0216144
+0.0216106
+0.021794
+0.0221933
+0.0227769
+0.0235305
+0.0244453
+0.0254914
+0.0266696
+0.027951
+0.0293401
+0.0308226
+0.0323838
+0.0340101
+0.0356968
+0.0374357
+0.0392199
+0.0410405
+0.0428923
+0.0447747
+0.046684
+0.0486171
+0.0505712
+0.0525439
+0.0545302
+0.0564198
+0.0583305
+0.0602543
+0.0621942
+0.0775029
+0.0771975
+0.0769471
+0.0767584
+0.0766319
+0.0765679
+0.0765666
+0.0766279
+0.0767518
+0.0769378
+0.0771856
+0.0774945
+0.0778639
+0.0782837
+0.0771358
+0.0753668
+0.0736204
+0.0718984
+0.0702025
+0.0685347
+0.0668971
+0.0652891
+0.0637149
+0.0621649
+0.060642
+0.0591552
+0.0577131
+0.0563195
+0.054964
+0.0535576
+0.0521545
+0.0507864
+0.0494776
+0.0482328
+0.0470571
+0.0459558
+0.0448913
+0.0438926
+0.0427996
+0.041534
+0.0403476
+0.0392478
+0.0382374
+0.0373186
+0.0365083
+0.0358089
+0.0352259
+0.0347715
+0.0344506
+0.034267
+0.034223
+0.034319
+0.034554
+0.034925
+0.035421
+0.036035
+0.0357181
+0.034453
+0.0332798
+0.032213
+0.0311403
+0.0301141
+0.0292013
+0.0284147
+0.0277789
+0.026804
+0.02581
+0.0249434
+0.0242211
+0.0236631
+0.0232986
+0.0231128
+0.0231017
+0.0232734
+0.0236476
+0.0241962
+0.0249069
+0.0257806
+0.0267746
+0.0279055
+0.029151
+0.0304855
+0.0319148
+0.0334251
+0.035003
+0.036644
+0.03834
+0.040084
+0.04187
+0.0436928
+0.045548
+0.0474319
+0.0493356
+0.0512623
+0.0532094
+0.0550707
+0.0569424
+0.0588362
+0.0607439
+0.0626686
+0.0789561
+0.0786538
+0.078408
+0.0782229
+0.0780988
+0.078036
+0.0780347
+0.0780948
+0.0782163
+0.0783989
+0.0786421
+0.0789453
+0.0793079
+0.0793609
+0.0775807
+0.0758221
+0.0740865
+0.0723756
+0.0706911
+0.0690351
+0.0674096
+0.0658142
+0.0642529
+0.0627292
+0.0612222
+0.0597498
+0.0583225
+0.0569437
+0.0556034
+0.0542305
+0.0528606
+0.0515138
+0.0502239
+0.0489981
+0.0478412
+0.0467583
+0.0457112
+0.0447308
+0.0438381
+0.0429638
+0.041818
+0.0407578
+0.039786
+0.0389037
+0.0381267
+0.0374535
+0.0368965
+0.0364629
+0.036157
+0.0359822
+0.0359402
+0.0360317
+0.0362555
+0.0366093
+0.0370873
+0.0376741
+0.0372811
+0.0360031
+0.0347365
+0.0335476
+0.0324528
+0.0314559
+0.0305705
+0.02982
+0.0292148
+0.0282066
+0.0272482
+0.0264295
+0.0257589
+0.025235
+0.0248934
+0.0247148
+0.0246973
+0.024858
+0.0252087
+0.025724
+0.0263936
+0.0272236
+0.02817
+0.029247
+0.0304437
+0.031741
+0.0331161
+0.034574
+0.0361017
+0.0376949
+0.0393456
+0.0410469
+0.0427927
+0.0445778
+0.0463977
+0.0482484
+0.0501265
+0.0520291
+0.0538662
+0.0556922
+0.0575438
+0.0594183
+0.0613079
+0.0632155
+0.0804426
+0.0801435
+0.0799023
+0.0797206
+0.0795988
+0.0795372
+0.079536
+0.079595
+0.0797142
+0.0798933
+0.080132
+0.0804296
+0.0807856
+0.0798536
+0.0780847
+0.0763376
+0.074614
+0.0729155
+0.0712438
+0.0696009
+0.067989
+0.0664074
+0.0648604
+0.0633514
+0.0618746
+0.060418
+0.0590069
+0.0576445
+0.0563096
+0.0549825
+0.0536318
+0.0523229
+0.0510534
+0.049848
+0.0487113
+0.0476482
+0.0466197
+0.0456589
+0.0447846
+0.0439726
+0.0432146
+0.042319
+0.0413879
+0.040535
+0.0397804
+0.0391341
+0.0386014
+0.0381871
+0.0378952
+0.0377284
+0.0376884
+0.0377756
+0.0379892
+0.0383269
+0.0387857
+0.0393612
+0.0384629
+0.0372258
+0.0360456
+0.0348917
+0.0338403
+0.0328772
+0.0320311
+0.0313156
+0.0307229
+0.0296897
+0.0287808
+0.0280069
+0.0273807
+0.0268884
+0.0265681
+0.0264015
+0.0263784
+0.026529
+0.0268579
+0.0273421
+0.027973
+0.0287574
+0.0296607
+0.0306854
+0.0318281
+0.0330766
+0.0344088
+0.0358189
+0.0372968
+0.038841
+0.040445
+0.0421019
+0.0438057
+0.0455511
+0.0473336
+0.049149
+0.050994
+0.0528161
+0.0545894
+0.0563921
+0.0582213
+0.0600748
+0.0619444
+0.0638329
+0.0819593
+0.0816647
+0.0814281
+0.0812498
+0.0811303
+0.0810699
+0.0810686
+0.0811266
+0.0812435
+0.0814193
+0.0816535
+0.0819456
+0.0821803
+0.0804029
+0.0786464
+0.0769121
+0.0752016
+0.0735167
+0.0718588
+0.0702271
+0.0686263
+0.0670589
+0.0655273
+0.064034
+0.0625817
+0.0611575
+0.0597638
+0.0584096
+0.0570856
+0.0558104
+0.0544802
+0.0532034
+0.0519555
+0.0507714
+0.0496559
+0.0486135
+0.0476118
+0.0466714
+0.0458165
+0.0450187
+0.0442634
+0.0436051
+0.0430296
+0.0422059
+0.0414817
+0.0408623
+0.0403524
+0.0399563
+0.0396774
+0.0395181
+0.0394799
+0.0395632
+0.0397672
+0.04009
+0.0405288
+0.0410089
+0.0397304
+0.0385204
+0.0373892
+0.0363182
+0.0353017
+0.0343794
+0.0335712
+0.0328892
+0.0322442
+0.0312561
+0.0303941
+0.0296623
+0.0290718
+0.0286085
+0.0283077
+0.0281577
+0.0281298
+0.028271
+0.0285799
+0.0290354
+0.0296303
+0.0303719
+0.0312285
+0.0322034
+0.033294
+0.0344895
+0.0357692
+0.0371284
+0.0385643
+0.0400685
+0.0416261
+0.0432377
+0.0448984
+0.0466029
+0.0483467
+0.0501255
+0.0519299
+0.0536431
+0.0553899
+0.0571673
+0.0589726
+0.0608031
+0.0626509
+0.0645188
+0.083505
+0.0832159
+0.0829837
+0.0828088
+0.0826915
+0.0826322
+0.082631
+0.0826878
+0.0828026
+0.0829751
+0.0832049
+0.0834915
+0.0827722
+0.0810078
+0.0792647
+0.0775442
+0.0758463
+0.0741727
+0.0725267
+0.0709101
+0.0693252
+0.0677739
+0.0662588
+0.0647823
+0.0633472
+0.0619564
+0.0605836
+0.0592392
+0.0579342
+0.0566838
+0.0554023
+0.0541507
+0.0529315
+0.0517698
+0.0506762
+0.0496549
+0.0486823
+0.047763
+0.0469152
+0.0461306
+0.0453938
+0.0447522
+0.0442099
+0.0437581
+0.0432272
+0.0426331
+0.0421446
+0.0417655
+0.0414988
+0.0413465
+0.04131
+0.0413896
+0.0415846
+0.0418934
+0.0423136
+0.0423066
+0.0410641
+0.0398848
+0.0387934
+0.0377567
+0.0367946
+0.0359334
+0.0351803
+0.0345221
+0.0338161
+0.0328939
+0.0320759
+0.0313833
+0.0308258
+0.0303893
+0.0301063
+0.0299561
+0.0299288
+0.0300616
+0.0303522
+0.0307821
+0.0313439
+0.0320459
+0.0328677
+0.0337953
+0.0348361
+0.0359804
+0.0372088
+0.0385173
+0.0399032
+0.0413588
+0.0428769
+0.0444459
+0.046063
+0.047726
+0.0494301
+0.0511713
+0.0528616
+0.0545455
+0.0562644
+0.058015
+0.0597946
+0.0616008
+0.0634254
+0.0652711
+0.085079
+0.0847953
+0.0845674
+0.0843958
+0.0842808
+0.0842226
+0.0842214
+0.0842771
+0.0843897
+0.0845589
+0.0847845
+0.0850658
+0.08341
+0.0816626
+0.0799349
+0.0782261
+0.0765418
+0.0748838
+0.0732538
+0.0716537
+0.0700855
+0.0685515
+0.0670539
+0.0655954
+0.0641784
+0.062806
+0.0614607
+0.0601371
+0.0588521
+0.0576216
+0.0563944
+0.0551654
+0.0539789
+0.0528402
+0.0517692
+0.05076
+0.0498193
+0.0489196
+0.048085
+0.0473109
+0.0465927
+0.0459678
+0.0454401
+0.045006
+0.0446614
+0.0444054
+0.043973
+0.0436098
+0.0433543
+0.0432086
+0.0431737
+0.0432499
+0.0434365
+0.0437323
+0.0441349
+0.0436627
+0.042445
+0.0413049
+0.0402518
+0.0392458
+0.0383186
+0.0374925
+0.0367663
+0.0360933
+0.0354448
+0.0345929
+0.033816
+0.0331599
+0.0326327
+0.0322207
+0.0319522
+0.031796
+0.0317703
+0.0318954
+0.0321695
+0.0325824
+0.0331136
+0.0337788
+0.034568
+0.0354511
+0.0364447
+0.03754
+0.038719
+0.0399781
+0.041315
+0.0427225
+0.0441938
+0.0457228
+0.0473005
+0.0489214
+0.0505853
+0.0522438
+0.0538626
+0.0555198
+0.0572094
+0.058932
+0.0606847
+0.0624651
+0.0642652
+0.0660874
+0.0866798
+0.0864014
+0.0861777
+0.0860093
+0.0858964
+0.0858394
+0.0858382
+0.0858929
+0.0860033
+0.0861694
+0.0863907
+0.0858502
+0.0840964
+0.0823635
+0.0806529
+0.0789602
+0.0772919
+0.0756504
+0.0740372
+0.0724544
+0.0709039
+0.069388
+0.0679089
+0.0664691
+0.0650712
+0.063718
+0.0624024
+0.0611003
+0.0598361
+0.0586263
+0.057453
+0.0562471
+0.0550935
+0.0539784
+0.0529214
+0.0519339
+0.0510148
+0.0501368
+0.0493245
+0.0485562
+0.0478567
+0.0472485
+0.0467352
+0.0463058
+0.0459709
+0.0457386
+0.0455941
+0.0454847
+0.0452399
+0.0451002
+0.0450668
+0.0451398
+0.0453186
+0.0456022
+0.0459884
+0.0450689
+0.0438876
+0.0427859
+0.0417675
+0.0407976
+0.0399048
+0.0391122
+0.0383706
+0.0377262
+0.0371312
+0.0363446
+0.0356059
+0.0349834
+0.0344841
+0.0340945
+0.033828
+0.0336779
+0.0336537
+0.0337718
+0.0340308
+0.034427
+0.034931
+0.0355623
+0.0363149
+0.0371624
+0.0381114
+0.0391601
+0.0402917
+0.0415031
+0.0427924
+0.0441528
+0.045578
+0.047062
+0.0485995
+0.050184
+0.0518002
+0.0533425
+0.054929
+0.0565558
+0.0582196
+0.059915
+0.0616398
+0.0633934
+0.0651678
+0.0669655
+0.088306
+0.0880326
+0.0878132
+0.0876479
+0.0875371
+0.0874811
+0.08748
+0.0875336
+0.0876421
+0.087805
+0.0880222
+0.0865727
+0.0848338
+0.0831163
+0.0814215
+0.0797451
+0.0780937
+0.0764693
+0.0748738
+0.073309
+0.071777
+0.0702799
+0.06882
+0.0673997
+0.0660215
+0.0646882
+0.0634025
+0.0621254
+0.0608831
+0.0596945
+0.0585638
+0.0573921
+0.0562675
+0.0551722
+0.0541371
+0.0531721
+0.0522747
+0.0514183
+0.0506263
+0.0498597
+0.0491787
+0.0485871
+0.0480881
+0.0476709
+0.0473456
+0.0471201
+0.0469957
+0.0469392
+0.0469648
+0.0470179
+0.0469858
+0.0470558
+0.0472274
+0.0474995
+0.0477012
+0.0464904
+0.0453532
+0.0442952
+0.0433222
+0.0423995
+0.041546
+0.0407444
+0.0400306
+0.0394133
+0.038868
+0.0381417
+0.0374385
+0.0368469
+0.0363732
+0.0360028
+0.0357391
+0.0355952
+0.0355722
+0.035684
+0.0359292
+0.0363052
+0.0367892
+0.0373891
+0.0381056
+0.0389141
+0.0398214
+0.0408261
+0.0419199
+0.0430855
+0.0443289
+0.0456435
+0.0470235
+0.0484633
+0.0499577
+0.0515019
+0.0529988
+0.0545072
+0.0560607
+0.0576556
+0.0592885
+0.0609564
+0.0626566
+0.0643829
+0.0661308
+0.067903
+0.0899561
+0.0896878
+0.0894723
+0.0893101
+0.0892015
+0.0891465
+0.0891453
+0.089198
+0.0893044
+0.0894643
+0.0890879
+0.0873441
+0.085621
+0.0839196
+0.0822413
+0.080582
+0.078948
+0.0773416
+0.0757645
+0.0742185
+0.0727057
+0.0712281
+0.069788
+0.0683878
+0.0670299
+0.065717
+0.0644519
+0.0632006
+0.0619791
+0.060812
+0.0597024
+0.0585867
+0.0574798
+0.0564244
+0.0554127
+0.0544703
+0.0535947
+0.0527597
+0.0519703
+0.0512237
+0.0505612
+0.0499859
+0.049501
+0.0490958
+0.04878
+0.0485612
+0.0484405
+0.0484011
+0.0484148
+0.0484954
+0.048603
+0.0486134
+0.0487224
+0.0489294
+0.0491442
+0.0479698
+0.0468685
+0.0458454
+0.044906
+0.0440511
+0.0432036
+0.0424246
+0.0417348
+0.0411431
+0.0406438
+0.0399781
+0.0393077
+0.0387447
+0.0382945
+0.0379317
+0.0376807
+0.0375424
+0.0375206
+0.0376266
+0.0378593
+0.0382163
+0.0386822
+0.0392531
+0.0399363
+0.0407061
+0.0415743
+0.0425377
+0.04359
+0.0447193
+0.0459185
+0.0471888
+0.0485249
+0.0499214
+0.0513734
+0.0528347
+0.0542593
+0.0557337
+0.0572539
+0.0588164
+0.060418
+0.0620556
+0.0637264
+0.0654279
+0.0671514
+0.0688974
+0.0916288
+0.0913654
+0.091154
+0.0909948
+0.0908881
+0.0908341
+0.090833
+0.0908847
+0.0909891
+0.0911461
+0.0898912
+0.0881633
+0.0864565
+0.0847719
+0.0831108
+0.0814692
+0.0798534
+0.0782655
+0.0767074
+0.0751808
+0.0736877
+0.0722303
+0.0708106
+0.069431
+0.0680939
+0.066802
+0.0655577
+0.064328
+0.0631283
+0.0619828
+0.0608946
+0.0598321
+0.0587489
+0.0577207
+0.0567442
+0.0558243
+0.0549702
+0.0541564
+0.0533703
+0.0526436
+0.0519992
+0.05144
+0.0509689
+0.0505755
+0.050269
+0.0500566
+0.0499396
+0.0499014
+0.0499179
+0.0499961
+0.0500787
+0.0500888
+0.0501946
+0.0503956
+0.0506408
+0.0495019
+0.0484354
+0.0474462
+0.0465391
+0.0457183
+0.0448987
+0.0441493
+0.0434803
+0.0429127
+0.0424387
+0.0418485
+0.0412086
+0.0406719
+0.0402394
+0.0398868
+0.0396482
+0.0395151
+0.0394944
+0.0395951
+0.0398163
+0.0401559
+0.0406004
+0.0411447
+0.041797
+0.0425355
+0.043367
+0.0442915
+0.045303
+0.0463961
+0.0475558
+0.0487836
+0.0500772
+0.0514315
+0.052842
+0.0541782
+0.0555684
+0.0570089
+0.058496
+0.0600262
+0.0615963
+0.0632034
+0.0648446
+0.0665175
+0.0682198
+0.0699462
+0.093323
+0.0930644
+0.0928568
+0.0927006
+0.0925959
+0.0925429
+0.0925418
+0.0925925
+0.092695
+0.0924718
+0.0907402
+0.0890289
+0.0873389
+0.0856717
+0.0840284
+0.0824051
+0.080808
+0.0792393
+0.0777007
+0.076194
+0.0747212
+0.0732842
+0.0718854
+0.0705268
+0.0692109
+0.0679402
+0.0667085
+0.0655074
+0.0643315
+0.0632079
+0.0621411
+0.0611307
+0.060071
+0.0590659
+0.058126
+0.0572301
+0.0563974
+0.0556045
+0.0548219
+0.0541147
+0.053488
+0.0529445
+0.052487
+0.0521053
+0.0518079
+0.0516018
+0.0514882
+0.0514512
+0.0514704
+0.0515462
+0.0516053
+0.0516151
+0.0517178
+0.0519128
+0.0521849
+0.0510821
+0.0500493
+0.0490925
+0.0482165
+0.0474216
+0.046635
+0.0459076
+0.0452645
+0.0447196
+0.0442593
+0.0437487
+0.0431371
+0.0426246
+0.0422049
+0.0418653
+0.0416381
+0.0415097
+0.04149
+0.0415859
+0.0417965
+0.0421201
+0.0425389
+0.0430587
+0.0436824
+0.0443976
+0.0451949
+0.0460827
+0.0470558
+0.048109
+0.0492363
+0.0504231
+0.0516757
+0.0529892
+0.0542741
+0.0555756
+0.0569317
+0.0583385
+0.0597926
+0.0612904
+0.0628289
+0.0644053
+0.0660166
+0.0676606
+0.0693348
+0.071037
+0.0950375
+0.0947836
+0.0945798
+0.0944264
+0.0943236
+0.0942716
+0.0942705
+0.0943203
+0.094421
+0.0933488
+0.0916338
+0.0899395
+0.088267
+0.0866176
+0.0849926
+0.083388
+0.0818101
+0.080261
+0.0787424
+0.077256
+0.0758038
+0.0743878
+0.0730101
+0.0716728
+0.0703784
+0.0691291
+0.0679053
+0.0667258
+0.0655859
+0.0644841
+0.0634388
+0.0624529
+0.0614428
+0.0604605
+0.0595426
+0.0586841
+0.0578723
+0.0570769
+0.0563128
+0.0556246
+0.055015
+0.0544868
+0.0540423
+0.0536809
+0.0533922
+0.0531923
+0.0530822
+0.0530463
+0.0530679
+0.0531414
+0.0531783
+0.0531878
+0.0532875
+0.0534768
+0.0537409
+0.0527059
+0.0517056
+0.0507801
+0.0499333
+0.0491634
+0.0484083
+0.0477016
+0.0470831
+0.0465577
+0.0461122
+0.045652
+0.0450894
+0.0445994
+0.0441885
+0.043864
+0.0436471
+0.0435231
+0.0435044
+0.0435958
+0.0437967
+0.0441052
+0.0445007
+0.0449979
+0.0455951
+0.0462883
+0.0470537
+0.0479071
+0.0488438
+0.0498593
+0.0509488
+0.0521032
+0.0533163
+0.0545461
+0.0557552
+0.0570229
+0.0583454
+0.0597189
+0.0611401
+0.0626058
+0.0641127
+0.0656582
+0.0672396
+0.0688543
+0.0705002
+0.072175
+0.0967712
+0.0965219
+0.0963217
+0.0961711
+0.0960702
+0.0960191
+0.0960181
+0.096067
+0.0959865
+0.0942686
+0.0925706
+0.0908937
+0.0892391
+0.087608
+0.0860018
+0.0844164
+0.0828581
+0.0813289
+0.0798306
+0.0783649
+0.0769336
+0.0755388
+0.0741825
+0.0728667
+0.0715939
+0.0703579
+0.0691508
+0.0679929
+0.0668867
+0.0658085
+0.0647846
+0.0638195
+0.0628611
+0.0619013
+0.0610051
+0.0601753
+0.0593914
+0.058592
+0.057848
+0.0571783
+0.0565855
+0.056072
+0.0556402
+0.0552914
+0.0550116
+0.0548176
+0.0547108
+0.0546826
+0.0547065
+0.0547778
+0.0547813
+0.0547906
+0.0548873
+0.0550711
+0.0553385
+0.0543695
+0.0534004
+0.0525047
+0.0516833
+0.05094
+0.0502117
+0.0495276
+0.0489321
+0.0484218
+0.0479935
+0.0475627
+0.0470628
+0.0465902
+0.0461906
+0.0458802
+0.0456729
+0.0455529
+0.045535
+0.0456223
+0.0458144
+0.0461061
+0.0464831
+0.0469593
+0.0475318
+0.0481972
+0.04894
+0.049761
+0.0506635
+0.0516432
+0.0526958
+0.0538171
+0.0549828
+0.0561056
+0.0572818
+0.0585165
+0.0598059
+0.0611467
+0.0625354
+0.0639691
+0.0654447
+0.0669595
+0.0685108
+0.0700962
+0.0717136
+0.0733509
+0.0985232
+0.0982783
+0.0980817
+0.0979338
+0.0978347
+0.0977845
+0.0977835
+0.0978315
+0.0969308
+0.0952299
+0.0935494
+0.0918903
+0.090254
+0.0886416
+0.0870544
+0.0854885
+0.0839501
+0.0824412
+0.0809635
+0.0795187
+0.0781086
+0.0767351
+0.0754003
+0.0741062
+0.072855
+0.0716278
+0.0704425
+0.0693061
+0.0682213
+0.0671783
+0.0661756
+0.0652311
+0.0643227
+0.063385
+0.0625101
+0.0617006
+0.0609327
+0.0601489
+0.0594243
+0.0587725
+0.058196
+0.0576969
+0.0572773
+0.0569358
+0.0566637
+0.0564754
+0.0563717
+0.0563507
+0.0563814
+0.0564506
+0.0564195
+0.0564285
+0.0565224
+0.0567009
+0.0569549
+0.0560694
+0.0551301
+0.054263
+0.0534659
+0.0527476
+0.0520418
+0.0513821
+0.0508083
+0.0503121
+0.0499
+0.0494967
+0.0490546
+0.0485958
+0.048209
+0.0479117
+0.0477133
+0.047597
+0.0475798
+0.0476634
+0.0478473
+0.0481221
+0.0484833
+0.0489401
+0.0494897
+0.0501291
+0.0508508
+0.0516414
+0.0525116
+0.0534574
+0.054475
+0.0555603
+0.0566151
+0.0577062
+0.0588504
+0.0600528
+0.06131
+0.0626185
+0.0639754
+0.0653774
+0.0668219
+0.0683062
+0.0698276
+0.0713838
+0.0729726
+0.0745718
+0.100292
+0.100052
+0.0998587
+0.0997134
+0.099616
+0.0995668
+0.0995658
+0.099613
+0.0979149
+0.0962314
+0.0945687
+0.0929279
+0.0913102
+0.0897167
+0.0881489
+0.0866028
+0.0850846
+0.0835962
+0.0821392
+0.0807154
+0.0793266
+0.0779746
+0.0766613
+0.0753889
+0.0741514
+0.0729414
+0.0717777
+0.0706629
+0.0695992
+0.0685846
+0.067609
+0.0666848
+0.0658053
+0.0649088
+0.0640547
+0.0632649
+0.0625073
+0.0617442
+0.0610385
+0.0604042
+0.0598434
+0.0593581
+0.0589504
+0.0586155
+0.0583513
+0.0581685
+0.0580677
+0.0580474
+0.058089
+0.0581561
+0.0580941
+0.0581028
+0.058194
+0.0583674
+0.0586056
+0.0578023
+0.0568916
+0.0560493
+0.0552778
+0.0545834
+0.0538988
+0.0532621
+0.0527088
+0.0522259
+0.0518291
+0.0514513
+0.051057
+0.0506168
+0.0502419
+0.0499567
+0.0497664
+0.0496536
+0.0496371
+0.0497172
+0.0498935
+0.0501526
+0.0504994
+0.0509381
+0.0514663
+0.0520815
+0.0527804
+0.0535453
+0.0543851
+0.0552989
+0.0562831
+0.0572863
+0.0582841
+0.0593444
+0.0604577
+0.0616288
+0.0628544
+0.0641314
+0.0654569
+0.0668279
+0.0682417
+0.0696957
+0.0711874
+0.0727146
+0.0742749
+0.0758364
+0.0891028
+0.0871547
+0.0852183
+0.0832945
+0.0813842
+0.0794884
+0.0776081
+0.0757445
+0.0738989
+0.0720725
+0.0702637
+0.0684767
+0.0667137
+0.0649768
+0.0632681
+0.0615899
+0.0599448
+0.0583346
+0.0567526
+0.0552123
+0.0537172
+0.0522711
+0.0508783
+0.0495432
+0.0482707
+0.0470658
+0.0459338
+0.0448802
+0.0439108
+0.0430311
+0.0422262
+0.04152
+0.040919
+0.040428
+0.0400509
+0.039791
+0.0396507
+0.0396311
+0.0397325
+0.0399539
+0.0402934
+0.0407479
+0.0413138
+0.0419836
+0.0427366
+0.0435866
+0.0445282
+0.0455559
+0.0466638
+0.0478464
+0.0490983
+0.0504144
+0.0517897
+0.0532197
+0.0547
+0.0562268
+0.0577963
+0.0594051
+0.0610501
+0.0627285
+0.0644377
+0.0661753
+0.067939
+0.069727
+0.0715126
+0.0732123
+0.0746958
+0.0762114
+0.0777592
+0.0793305
+0.0809266
+0.0825499
+0.084199
+0.0858723
+0.0875225
+0.0891682
+0.0908369
+0.0925274
+0.0929729
+0.0931555
+0.0933892
+0.0936735
+0.093998
+0.0943626
+0.0947706
+0.0952235
+0.0957244
+0.0962725
+0.0968577
+0.0974885
+0.0981641
+0.0988837
+0.0996462
+0.100451
+0.101296
+0.102138
+0.103016
+0.103934
+0.104889
+0.105881
+0.0881565
+0.0861926
+0.0842342
+0.0822875
+0.0803532
+0.0784325
+0.0765263
+0.0746357
+0.0727619
+0.0709063
+0.0690703
+0.0672542
+0.0654583
+0.0636872
+0.0619429
+0.0602278
+0.0585444
+0.0568956
+0.0552844
+0.0537059
+0.0521676
+0.0506774
+0.0492395
+0.0478587
+0.0465401
+0.0452892
+0.0441116
+0.0430135
+0.042001
+0.0410804
+0.0402472
+0.0395056
+0.0388735
+0.0383563
+0.0379586
+0.0376843
+0.0375361
+0.0375154
+0.0376225
+0.0378563
+0.0382144
+0.0386934
+0.0392889
+0.0399908
+0.0407804
+0.0416703
+0.0426543
+0.043726
+0.0448791
+0.0461075
+0.0474054
+0.0487672
+0.0501876
+0.051662
+0.0531857
+0.0547547
+0.0563652
+0.0580137
+0.0596971
+0.0614125
+0.0631573
+0.0649291
+0.0667258
+0.0685455
+0.0702504
+0.0717754
+0.0732859
+0.0748301
+0.0763981
+0.0779926
+0.0796155
+0.081265
+0.0829397
+0.0846003
+0.0862461
+0.0879157
+0.0896078
+0.0913186
+0.0916986
+0.0918838
+0.0921206
+0.0924041
+0.0927333
+0.0931128
+0.093542
+0.0940118
+0.0945209
+0.0950762
+0.0956773
+0.0963159
+0.0969997
+0.0977278
+0.0984993
+0.0993131
+0.100162
+0.101011
+0.101899
+0.102827
+0.103792
+0.104795
+0.0872546
+0.08527
+0.0832957
+0.081327
+0.0793694
+0.0774242
+0.0754925
+0.0735754
+0.0716739
+0.0697894
+0.0679232
+0.066077
+0.0642524
+0.0624478
+0.0606679
+0.0589156
+0.0571936
+0.0555047
+0.0538519
+0.0522387
+0.0506654
+0.0491296
+0.047645
+0.0462167
+0.0448498
+0.0435504
+0.0423245
+0.0411787
+0.0401199
+0.0391551
+0.0382912
+0.037511
+0.0368447
+0.0362986
+0.0358781
+0.0355878
+0.0354308
+0.0354089
+0.0355223
+0.0357698
+0.0361486
+0.0366546
+0.0372827
+0.0380196
+0.0388493
+0.0397824
+0.040812
+0.0419308
+0.0431319
+0.0444086
+0.0457547
+0.0471642
+0.0486315
+0.0501516
+0.0517199
+0.053332
+0.0549842
+0.0566729
+0.0583949
+0.0601475
+0.0619279
+0.063734
+0.0655634
+0.0673007
+0.0688705
+0.0703752
+0.0719151
+0.0734792
+0.0750718
+0.0766939
+0.0783437
+0.0800195
+0.0816911
+0.0833368
+0.085007
+0.0867005
+0.0884104
+0.0901399
+0.0903551
+0.0905942
+0.0908856
+0.0911682
+0.0915018
+0.0918864
+0.0923214
+0.092806
+0.0933354
+0.0939072
+0.0945244
+0.0951792
+0.0958711
+0.0966078
+0.0973882
+0.0982112
+0.0990612
+0.0999191
+0.100817
+0.101755
+0.102729
+0.103734
+0.0863906
+0.0843908
+0.0823989
+0.0804138
+0.0784343
+0.0764654
+0.0745089
+0.0725657
+0.0706371
+0.0687241
+0.0668282
+0.0649509
+0.0630937
+0.0612586
+0.0594462
+0.0576569
+0.0558961
+0.0541668
+0.0524719
+0.0508149
+0.0491996
+0.0476304
+0.0460996
+0.0446218
+0.0432045
+0.041854
+0.0405769
+0.0393803
+0.0382717
+0.0372592
+0.0363506
+0.0355395
+0.0348355
+0.0342574
+0.0338116
+0.0335033
+0.0333365
+0.0333132
+0.0334338
+0.0336966
+0.0340984
+0.0346344
+0.0352985
+0.0360737
+0.0369471
+0.0379271
+0.0390056
+0.0401748
+0.0414268
+0.0427545
+0.0441511
+0.0456101
+0.0471259
+0.048693
+0.0503067
+0.0519627
+0.0536571
+0.0553863
+0.0571471
+0.0589368
+0.0607527
+0.0625923
+0.064365
+0.0659832
+0.0674811
+0.0690161
+0.0705756
+0.0721658
+0.0737867
+0.0754365
+0.0771132
+0.0787962
+0.0804415
+0.0821122
+0.0838052
+0.0855156
+0.0872474
+0.0888306
+0.0890199
+0.0892627
+0.0895583
+0.0899064
+0.0903063
+0.0906963
+0.091137
+0.0916279
+0.0921683
+0.0927574
+0.0933843
+0.0940579
+0.0947705
+0.0955249
+0.096314
+0.0971462
+0.097997
+0.0988641
+0.0997718
+0.100717
+0.101694
+0.102708
+0.0855673
+0.0835479
+0.0815373
+0.0795362
+0.0775453
+0.075558
+0.0735773
+0.0716089
+0.0696537
+0.067713
+0.065788
+0.0638801
+0.0619908
+0.0601221
+0.0582758
+0.0564541
+0.0546557
+0.0528857
+0.0511484
+0.0494471
+0.0477856
+0.0461684
+0.0446001
+0.0430793
+0.0416095
+0.0402054
+0.0388742
+0.0376235
+0.0364616
+0.0353973
+0.0344396
+0.0335952
+0.0328496
+0.0322358
+0.0317616
+0.0314333
+0.0312554
+0.0312306
+0.0313591
+0.0316392
+0.0320668
+0.0326362
+0.0333401
+0.0341575
+0.0350786
+0.0361094
+0.0372406
+0.0384634
+0.0397694
+0.0411506
+0.0425998
+0.0441101
+0.0456757
+0.0472909
+0.0489509
+0.0506512
+0.052388
+0.0541577
+0.0559572
+0.0577838
+0.0596321
+0.0614452
+0.0631159
+0.064606
+0.0661351
+0.0676892
+0.0692764
+0.0708957
+0.0725451
+0.0742225
+0.0759174
+0.0775619
+0.0792327
+0.0809236
+0.0826355
+0.0843696
+0.0861245
+0.0875271
+0.0877192
+0.0879655
+0.0882655
+0.0886187
+0.0890244
+0.0894793
+0.0899775
+0.0904876
+0.0910347
+0.091631
+0.0922755
+0.0929618
+0.0936882
+0.0944515
+0.095259
+0.0961097
+0.0969705
+0.0978467
+0.0987599
+0.0997081
+0.100695
+0.10172
+0.0847927
+0.0827544
+0.080724
+0.0787022
+0.0766897
+0.0746873
+0.0726957
+0.070707
+0.0687262
+0.0667585
+0.0648051
+0.0628674
+0.0609468
+0.059045
+0.0571639
+0.0553056
+0.0534725
+0.0516659
+0.0498861
+0.0481402
+0.046432
+0.0447658
+0.0431466
+0.0415798
+0.0400708
+0.0386108
+0.0372226
+0.0359144
+0.0346953
+0.0335751
+0.0325638
+0.031672
+0.0308913
+0.0302378
+0.0297318
+0.0293808
+0.0291904
+0.0291638
+0.0293014
+0.029601
+0.0300576
+0.0306643
+0.0314124
+0.0322762
+0.0332495
+0.0343352
+0.035523
+0.0368029
+0.0381657
+0.0396029
+0.0411067
+0.04267
+0.0442864
+0.0459505
+0.0476572
+0.0494021
+0.0511813
+0.0529913
+0.0548275
+0.0566867
+0.0585437
+0.0602714
+0.0617525
+0.0632747
+0.0648224
+0.0664058
+0.068023
+0.0696715
+0.0713491
+0.073054
+0.0746998
+0.0763696
+0.0780585
+0.0797718
+0.0815079
+0.0832655
+0.0850432
+0.0862594
+0.0864544
+0.0867043
+0.0870087
+0.0873669
+0.0877784
+0.0882363
+0.0887415
+0.0892976
+0.0899036
+0.0905437
+0.0911958
+0.0918956
+0.0926369
+0.0934123
+0.0942323
+0.0950931
+0.0959831
+0.0968628
+0.0977804
+0.098738
+0.0997346
+0.100769
+0.0840681
+0.0820117
+0.0799625
+0.0779209
+0.0758877
+0.0738635
+0.0718491
+0.0698453
+0.067853
+0.065863
+0.0638823
+0.0619157
+0.0599646
+0.0580306
+0.0561156
+0.0542213
+0.0523503
+0.0505049
+0.0486881
+0.0468992
+0.0451441
+0.0434286
+0.0417575
+0.0401365
+0.0385718
+0.0370706
+0.035629
+0.03426
+0.0329798
+0.0317992
+0.0307296
+0.0297829
+0.0289663
+0.0282684
+0.0277264
+0.0273497
+0.0271451
+0.0271165
+0.0272644
+0.0275861
+0.0280755
+0.0287241
+0.0295214
+0.0304363
+0.0314666
+0.0326117
+0.03386
+0.0352004
+0.036623
+0.0381184
+0.0396784
+0.0412958
+0.042964
+0.0446774
+0.0464309
+0.0482202
+0.0500412
+0.0518869
+0.0537585
+0.0556534
+0.0574146
+0.0589236
+0.0604373
+0.0619779
+0.0635567
+0.0651709
+0.0668179
+0.0684954
+0.0702012
+0.0718572
+0.073523
+0.075212
+0.0769262
+0.0786642
+0.0804242
+0.0822049
+0.0840051
+0.0850207
+0.0852272
+0.0854807
+0.0857894
+0.0861527
+0.0865699
+0.0870307
+0.0875428
+0.0881065
+0.0887206
+0.0893843
+0.0900963
+0.0908557
+0.091612
+0.092408
+0.0932368
+0.0941093
+0.0950244
+0.095914
+0.0967999
+0.0977007
+0.0986419
+0.0996224
+0.0833947
+0.0813213
+0.0792542
+0.0771939
+0.0751411
+0.0730962
+0.07106
+0.0690333
+0.0670169
+0.0650117
+0.063019
+0.0610278
+0.0590474
+0.0570824
+0.0551344
+0.0532052
+0.0512971
+0.0494124
+0.0475539
+0.0457249
+0.0439277
+0.0421627
+0.0404394
+0.0387634
+0.0371409
+0.0355793
+0.0340871
+0.0326607
+0.0313152
+0.0300693
+0.0289358
+0.0279284
+0.0270612
+0.0263339
+0.0257513
+0.0253452
+0.0251243
+0.0250934
+0.0252532
+0.0256001
+0.0261268
+0.0268226
+0.0276747
+0.0286459
+0.0297383
+0.0309474
+0.0322601
+0.0336643
+0.0351491
+0.0367046
+0.0383222
+0.0399945
+0.0417148
+0.0434774
+0.0452774
+0.0471073
+0.0489656
+0.0508504
+0.0527588
+0.0545627
+0.0561232
+0.0576261
+0.0591588
+0.0607319
+0.0623422
+0.0639871
+0.0656638
+0.06737
+0.0690315
+0.0706975
+0.0723861
+0.0741009
+0.0758403
+0.0776026
+0.0793861
+0.0811896
+0.0830118
+0.0838071
+0.0840188
+0.084287
+0.0846092
+0.0849776
+0.085398
+0.085864
+0.0863831
+0.0869542
+0.0875765
+0.0882488
+0.0889699
+0.0897387
+0.0905541
+0.0914146
+0.0922734
+0.0930944
+0.0938874
+0.0947245
+0.0956
+0.0965119
+0.0974646
+0.0984568
+0.0827738
+0.0806845
+0.0786006
+0.0765228
+0.0744514
+0.072387
+0.0703303
+0.0682819
+0.0662427
+0.0642134
+0.062195
+0.0601887
+0.0581957
+0.0562036
+0.054224
+0.0522612
+0.0503173
+0.0483945
+0.0464954
+0.044623
+0.0427808
+0.040973
+0.0391995
+0.037468
+0.0357869
+0.0341635
+0.0326066
+0.0311261
+0.0297176
+0.0284017
+0.0271987
+0.0261245
+0.0251953
+0.0244277
+0.0238139
+0.0233742
+0.0231344
+0.0231008
+0.0232743
+0.0236503
+0.0242194
+0.0249684
+0.0258755
+0.0269065
+0.0280709
+0.0293493
+0.0307303
+0.0322013
+0.0337505
+0.0353676
+0.0370437
+0.0387711
+0.0405433
+0.0423545
+0.0441959
+0.0460675
+0.0479661
+0.0498886
+0.0517334
+0.0533558
+0.0548459
+0.056369
+0.057935
+0.0595404
+0.0611821
+0.0628573
+0.0645634
+0.0662248
+0.06789
+0.0695833
+0.0712983
+0.0730387
+0.0748028
+0.0765889
+0.0783956
+0.0802213
+0.082065
+0.0826338
+0.0828485
+0.0831205
+0.083449
+0.0838333
+0.084262
+0.0847379
+0.0852638
+0.0858425
+0.0864727
+0.0871535
+0.0878836
+0.0886619
+0.089487
+0.0903386
+0.0911407
+0.0918984
+0.0927017
+0.0935494
+0.0944356
+0.0953569
+0.0963112
+0.0973055
+0.0822066
+0.0801025
+0.0780031
+0.0759089
+0.0738203
+0.0717378
+0.0696619
+0.0675933
+0.0655326
+0.0634806
+0.0614382
+0.0594063
+0.0573862
+0.055379
+0.0533862
+0.0513933
+0.0494153
+0.0474559
+0.0455177
+0.0436033
+0.0417161
+0.03986
+0.0380396
+0.0362589
+0.0345189
+0.0328329
+0.0312097
+0.0296595
+0.0281944
+0.0268094
+0.0255316
+0.0243839
+0.0233857
+0.0225567
+0.0219161
+0.0214458
+0.0211842
+0.0211475
+0.0213369
+0.0217465
+0.0223641
+0.0231731
+0.02413
+0.0252323
+0.0264705
+0.0278225
+0.0292757
+0.0308162
+0.0324316
+0.0341113
+0.0358461
+0.0376286
+0.0394522
+0.0413112
+0.0431971
+0.0451102
+0.0470474
+0.0489348
+0.0506266
+0.0521001
+0.0536132
+0.0551704
+0.0567694
+0.0584068
+0.0600796
+0.0617847
+0.0634452
+0.0651078
+0.0668009
+0.0685211
+0.070262
+0.0720275
+0.0738157
+0.0756252
+0.0774543
+0.0793018
+0.0811663
+0.0815025
+0.0817202
+0.0819959
+0.0823289
+0.0827184
+0.0831529
+0.0836425
+0.0841863
+0.0847727
+0.0854109
+0.0861
+0.086839
+0.0876208
+0.0883717
+0.089161
+0.0899613
+0.0907184
+0.0915218
+0.0923701
+0.093257
+0.0941749
+0.0951315
+0.0960444
+0.0816891
+0.0795745
+0.077463
+0.0753538
+0.0732493
+0.0711501
+0.0690566
+0.0669692
+0.0648887
+0.0628157
+0.0607509
+0.0586953
+0.0566498
+0.0546155
+0.0525939
+0.0505863
+0.0485945
+0.0466015
+0.0446262
+0.0426718
+0.0407415
+0.0388389
+0.0369682
+0.0351344
+0.0333438
+0.0315983
+0.0299081
+0.0282867
+0.0267465
+0.0253025
+0.0239489
+0.0227215
+0.0216467
+0.0207483
+0.02005
+0.0195727
+0.0192857
+0.0192454
+0.0194534
+0.0199017
+0.0205747
+0.0214417
+0.0224625
+0.0236428
+0.0249599
+0.0263894
+0.0279173
+0.0295288
+0.0312109
+0.0329528
+0.0347456
+0.0365817
+0.038455
+0.0403599
+0.0422883
+0.0442407
+0.0461745
+0.0479219
+0.0493958
+0.0508952
+0.052443
+0.0540339
+0.0556656
+0.0573346
+0.0590377
+0.0606965
+0.0623554
+0.0640463
+0.0657667
+0.0675133
+0.0692795
+0.0710694
+0.0728812
+0.0747133
+0.0765642
+0.0784326
+0.0802506
+0.080412
+0.0806326
+0.080912
+0.0812495
+0.0816443
+0.0820873
+0.0825832
+0.0831339
+0.0837383
+0.0843925
+0.08509
+0.0857531
+0.0864512
+0.0871801
+0.0879577
+0.0887683
+0.0895356
+0.0903494
+0.0911919
+0.0920753
+0.0930018
+0.0939182
+0.0947714
+0.0812255
+0.0790986
+0.0769753
+0.0748558
+0.0727399
+0.0706255
+0.0685159
+0.0664116
+0.0643131
+0.0622209
+0.0601357
+0.0580583
+0.0559895
+0.0539304
+0.051882
+0.0498457
+0.0478231
+0.0458159
+0.0438227
+0.0418344
+0.0398636
+0.037917
+0.0359984
+0.0341125
+0.0322652
+0.0304635
+0.0287149
+0.027022
+0.0254053
+0.0238802
+0.0224655
+0.0211554
+0.0199966
+0.0190204
+0.0182562
+0.0177312
+0.0174359
+0.0173913
+0.0176211
+0.0181148
+0.0188518
+0.0197903
+0.0208919
+0.022156
+0.0235564
+0.0250661
+0.0266699
+0.0283524
+0.0301003
+0.0319029
+0.0337515
+0.0356389
+0.0375592
+0.0395074
+0.0414754
+0.0434402
+0.0452059
+0.0467404
+0.0482228
+0.0497576
+0.0513397
+0.0529638
+0.0546275
+0.0563272
+0.057983
+0.0596369
+0.0613245
+0.0630431
+0.0647901
+0.0665624
+0.0683532
+0.0701667
+0.0720012
+0.0738551
+0.075727
+0.0776155
+0.0791381
+0.0793368
+0.0795821
+0.0798652
+0.080207
+0.080607
+0.0810642
+0.081569
+0.0821265
+0.0827383
+0.0833201
+0.0839049
+0.0845425
+0.0852316
+0.085971
+0.0867594
+0.0875955
+0.0883603
+0.0891432
+0.0899723
+0.0908269
+0.0917256
+0.0926622
+0.0935297
+0.0808187
+0.0786808
+0.0765459
+0.0744142
+0.0722861
+0.0701618
+0.0680416
+0.0659221
+0.0638075
+0.0616981
+0.0595947
+0.0574977
+0.055408
+0.0533264
+0.0512539
+0.0491917
+0.047141
+0.0451035
+0.043081
+0.0410718
+0.039077
+0.0371016
+0.0351385
+0.0332039
+0.031303
+0.0294425
+0.0276304
+0.0258769
+0.0241883
+0.0225813
+0.0210796
+0.0197069
+0.0184593
+0.0173971
+0.0165581
+0.0159775
+0.0156689
+0.0156193
+0.0158748
+0.0164211
+0.0172307
+0.0182527
+0.0194417
+0.0207941
+0.0222803
+0.0238708
+0.0255498
+0.0273013
+0.0291124
+0.0309726
+0.0328735
+0.0348085
+0.0367722
+0.03876
+0.0407472
+0.0425421
+0.0441427
+0.0456044
+0.0471226
+0.048692
+0.0503076
+0.051964
+0.0536587
+0.0553099
+0.0569572
+0.0586401
+0.0603556
+0.062101
+0.0638738
+0.0656707
+0.0674852
+0.0693214
+0.0711777
+0.0730525
+0.0749445
+0.0768523
+0.0780455
+0.078247
+0.0785092
+0.0788314
+0.0792115
+0.0796165
+0.0800791
+0.0805742
+0.0810538
+0.0815587
+0.0820975
+0.0826909
+0.0833376
+0.0840365
+0.0847863
+0.0855855
+0.0863391
+0.0870819
+0.0878551
+0.0886758
+0.0895425
+0.0904514
+0.0913962
+0.0923159
+0.0804695
+0.0783221
+0.0761771
+0.0740348
+0.0718954
+0.0697592
+0.0676265
+0.0654977
+0.063373
+0.0612493
+0.0591299
+0.0570159
+0.0549078
+0.0528065
+0.0507128
+0.0486276
+0.0465521
+0.0444876
+0.0424358
+0.0403986
+0.0383737
+0.036363
+0.0343742
+0.0324115
+0.0304615
+0.0285461
+0.0266732
+0.0248523
+0.0230957
+0.0214192
+0.0198389
+0.0183748
+0.0170344
+0.0158772
+0.0149531
+0.0143075
+0.013979
+0.0139667
+0.0142518
+0.0148579
+0.015748
+0.0168602
+0.0181407
+0.0195832
+0.0211545
+0.0228237
+0.0245743
+0.0263907
+0.0282602
+0.0301729
+0.0321212
+0.0340989
+0.0361013
+0.0381157
+0.0399108
+0.0416135
+0.0430496
+0.0445472
+0.0461002
+0.0477033
+0.0493513
+0.0510387
+0.0526834
+0.054322
+0.0559984
+0.0577092
+0.0594516
+0.0612228
+0.0630182
+0.0648333
+0.066671
+0.0685295
+0.0704071
+0.0723022
+0.0740828
+0.0756774
+0.0769964
+0.0772007
+0.0774664
+0.0777929
+0.0781795
+0.078543
+0.0789178
+0.0793514
+0.0798428
+0.0803433
+0.0808902
+0.0814923
+0.0821485
+0.0828575
+0.0836178
+0.0843768
+0.0850618
+0.0857973
+0.086582
+0.0874146
+0.0882934
+0.0892078
+0.0901657
+0.0911322
+0.0801734
+0.078021
+0.0758698
+0.0737186
+0.0715697
+0.0694235
+0.0672802
+0.06514
+0.0630033
+0.0608704
+0.0587418
+0.0566147
+0.0544912
+0.0523732
+0.0502614
+0.0481566
+0.0460599
+0.0439723
+0.0418953
+0.0398304
+0.0377798
+0.0357407
+0.0337152
+0.0317117
+0.0297347
+0.0277825
+0.0258543
+0.0239713
+0.0221449
+0.0203904
+0.0187281
+0.0171743
+0.0157716
+0.0145231
+0.0135067
+0.0127883
+0.0124196
+0.0124319
+0.0127823
+0.0134548
+0.0144317
+0.0156493
+0.0170231
+0.0185527
+0.0202044
+0.0219459
+0.0237613
+0.0256353
+0.0275561
+0.0295146
+0.0315036
+0.0335178
+0.0355529
+0.0373489
+0.0391662
+0.0405707
+0.0420424
+0.0435745
+0.045161
+0.0467963
+0.0484752
+0.0501092
+0.0517381
+0.0534058
+0.05511
+0.0568476
+0.0586122
+0.0604009
+0.0622152
+0.0640531
+0.0659126
+0.0677918
+0.0694123
+0.0709903
+0.0725864
+0.0741755
+0.0757947
+0.076194
+0.0764632
+0.0767258
+0.0770091
+0.0773501
+0.0777307
+0.0781708
+0.0786599
+0.0791658
+0.0797208
+0.0803317
+0.0809973
+0.0817162
+0.0824651
+0.0831081
+0.0838035
+0.08455
+0.0853462
+0.0861907
+0.0870747
+0.0880012
+0.0889721
+0.089936
+0.0799299
+0.0777708
+0.0756135
+0.0734582
+0.0713051
+0.0691543
+0.0670037
+0.0648544
+0.062708
+0.0605647
+0.0584249
+0.0562891
+0.0541576
+0.0520285
+0.0499021
+0.0477816
+0.0456676
+0.0435613
+0.0414636
+0.0393762
+0.0373005
+0.0352388
+0.033188
+0.0311506
+0.0291355
+0.0271476
+0.0251934
+0.0232639
+0.0213772
+0.0195539
+0.0178137
+0.0161723
+0.0146741
+0.0133684
+0.0122722
+0.0114768
+0.0110645
+0.0110783
+0.0114817
+0.012226
+0.0132935
+0.0146063
+0.0160777
+0.0176985
+0.0194314
+0.0212376
+0.0231086
+0.0250316
+0.0269954
+0.0289917
+0.0310143
+0.0330583
+0.0348742
+0.0366971
+0.0381822
+0.0396215
+0.0411272
+0.0426923
+0.0443104
+0.0459759
+0.0475823
+0.0491983
+0.0508574
+0.0525554
+0.0542888
+0.056046
+0.057831
+0.0596431
+0.0614798
+0.0632553
+0.0647746
+0.0663315
+0.0678982
+0.0694894
+0.0710803
+0.0727024
+0.0743536
+0.0751141
+0.0752762
+0.0755017
+0.0757898
+0.0761398
+0.076551
+0.0770223
+0.0775188
+0.0780321
+0.0785951
+0.0792147
+0.0798896
+0.0806184
+0.0812205
+0.0818733
+0.0825791
+0.0833365
+0.0841442
+0.0850006
+0.085894
+0.0868332
+0.0878169
+0.088687
+0.0797459
+0.0775816
+0.075419
+0.0732579
+0.0710987
+0.0689415
+0.0667865
+0.0646338
+0.0624838
+0.0603368
+0.0581888
+0.056044
+0.0539028
+0.0517658
+0.0496335
+0.0475047
+0.0453778
+0.0432574
+0.0411443
+0.0390397
+0.0369452
+0.0348624
+0.0327938
+0.0307358
+0.0286915
+0.0266706
+0.0246786
+0.0227232
+0.0208127
+0.0189351
+0.0171322
+0.0154184
+0.0138388
+0.0124458
+0.0113063
+0.0104389
+0.00998384
+0.00999912
+0.0104561
+0.0112683
+0.0124184
+0.0138223
+0.0153796
+0.0170669
+0.0188579
+0.0207141
+0.0226285
+0.0245891
+0.0265856
+0.0286105
+0.0306583
+0.0325044
+0.0343154
+0.0359024
+0.0373011
+0.0387731
+0.0403105
+0.0419061
+0.0435534
+0.045121
+0.0467194
+0.0483643
+0.0500511
+0.0517756
+0.0535342
+0.0553154
+0.0571232
+0.0587036
+0.0601783
+0.0616956
+0.0632416
+0.0648068
+0.0663925
+0.0679853
+0.0696105
+0.0712661
+0.0729499
+0.073845
+0.0740099
+0.0742392
+0.0745322
+0.0748881
+0.0753062
+0.0757852
+0.0763242
+0.0768706
+0.077466
+0.0781184
+0.0788125
+0.0794058
+0.0800135
+0.080676
+0.0813922
+0.0821606
+0.0829797
+0.083848
+0.0847535
+0.0857052
+0.086594
+0.0874657
+0.0796107
+0.0774459
+0.0752826
+0.0731209
+0.0709594
+0.0687979
+0.0666382
+0.0644806
+0.0623253
+0.0601726
+0.0580227
+0.055876
+0.0537328
+0.0515924
+0.0494525
+0.0473174
+0.0451876
+0.0430629
+0.0409398
+0.0388241
+0.0367173
+0.0346209
+0.0325369
+0.0304678
+0.02841
+0.0263675
+0.0243507
+0.0223667
+0.0204249
+0.0185387
+0.0167121
+0.0149502
+0.0133152
+0.0118608
+0.010659
+0.00973406
+0.00924441
+0.00926091
+0.00978077
+0.0106465
+0.0118571
+0.0133127
+0.0149474
+0.0167008
+0.0185145
+0.0204001
+0.0223414
+0.0243251
+0.0263416
+0.028381
+0.0302498
+0.0320541
+0.03374
+0.0351009
+0.0365302
+0.0380321
+0.0395983
+0.0412214
+0.0427426
+0.0443186
+0.0459449
+0.0476166
+0.0493289
+0.0510778
+0.0528437
+0.0542123
+0.0556336
+0.0571036
+0.0586187
+0.0601501
+0.0617159
+0.0632957
+0.0648906
+0.0665193
+0.0681795
+0.069869
+0.0715856
+0.0726191
+0.0727875
+0.0730207
+0.0733185
+0.0736803
+0.0741052
+0.0745919
+0.0751394
+0.0757189
+0.0763234
+0.0769854
+0.0776723
+0.0782321
+0.0788488
+0.0795211
+0.0802476
+0.0810268
+0.0818573
+0.0827334
+0.0836505
+0.0845617
+0.0853899
+0.0862629
+0.0795234
+0.0773561
+0.0751902
+0.0730258
+0.070863
+0.0687019
+0.0665428
+0.0643858
+0.0622312
+0.0600792
+0.0579297
+0.05578
+0.0536336
+0.051491
+0.0493526
+0.047215
+0.0450815
+0.0429538
+0.0408327
+0.0387193
+0.0366151
+0.0345169
+0.0324262
+0.0303497
+0.0282903
+0.026244
+0.0242172
+0.0222213
+0.0202657
+0.0183632
+0.0165173
+0.0147426
+0.0130944
+0.0116267
+0.0104161
+0.0094938
+0.00899107
+0.00900804
+0.00954193
+0.0104273
+0.0116607
+0.013138
+0.0147921
+0.0165648
+0.0183894
+0.0202866
+0.0222378
+0.02423
+0.0262538
+0.0281559
+0.0299263
+0.0317059
+0.0330314
+0.0344203
+0.0358767
+0.0374049
+0.0389761
+0.0404617
+0.042009
+0.0436115
+0.0452633
+0.0469593
+0.0485027
+0.049798
+0.0511543
+0.052567
+0.0540316
+0.0555352
+0.0570594
+0.0586259
+0.0601991
+0.0617962
+0.0634287
+0.0650941
+0.0667897
+0.0685135
+0.0702632
+0.0713881
+0.0715718
+0.0718217
+0.0721374
+0.0725179
+0.0729502
+0.0734446
+0.0740006
+0.074578
+0.0751935
+0.0758673
+0.0765348
+0.0771029
+0.0777285
+0.0784104
+0.0791471
+0.0799371
+0.0807746
+0.081655
+0.0825709
+0.0833756
+0.0842125
+0.0850931
+0.0794963
+0.0773283
+0.0751616
+0.0729963
+0.0708326
+0.0686706
+0.0665105
+0.0643524
+0.0621966
+0.0600434
+0.0578929
+0.0557456
+0.0536018
+0.051462
+0.0493266
+0.0471931
+0.0450638
+0.0429406
+0.0408246
+0.0387117
+0.036607
+0.034513
+0.0324318
+0.030366
+0.0283135
+0.0262697
+0.0242456
+0.0222531
+0.0203014
+0.0184037
+0.0165783
+0.014848
+0.013213
+0.0117601
+0.0105649
+0.00968368
+0.00919135
+0.00920795
+0.00973087
+0.0106363
+0.011848
+0.0133122
+0.0149551
+0.0167144
+0.0185242
+0.0204089
+0.0223494
+0.0243325
+0.0262613
+0.02798
+0.0297075
+0.0311205
+0.0324554
+0.0338679
+0.0353472
+0.0368532
+0.0382958
+0.0398068
+0.0413786
+0.0430046
+0.0442576
+0.0454828
+0.0467592
+0.0481015
+0.0495043
+0.0509628
+0.052447
+0.0539696
+0.0555368
+0.0571026
+0.0587022
+0.0603389
+0.0620098
+0.0637123
+0.0654437
+0.067202
+0.0689851
+0.070204
+0.0703906
+0.0706448
+0.0709657
+0.0713525
+0.071804
+0.0723191
+0.0728936
+0.0734579
+0.0740827
+0.0747665
+0.0754438
+0.07602
+0.0766545
+0.0773458
+0.0780926
+0.0788888
+0.0797299
+0.0806207
+0.0814126
+0.0821988
+0.0830258
+0.0839
+0.0794905
+0.0773473
+0.0751932
+0.0730305
+0.0708692
+0.068709
+0.0665503
+0.0643936
+0.0622392
+0.0600875
+0.0579387
+0.0557931
+0.0536512
+0.0515134
+0.0493802
+0.0472523
+0.0451304
+0.0430154
+0.0409084
+0.0388091
+0.0367163
+0.0346357
+0.0325696
+0.030514
+0.0284721
+0.026447
+0.0244504
+0.02249
+0.0205673
+0.0186966
+0.0169029
+0.0152135
+0.0136649
+0.0122684
+0.01113
+0.0103195
+0.00985901
+0.00987448
+0.0103638
+0.0112279
+0.0123874
+0.0137945
+0.015386
+0.017101
+0.018891
+0.020758
+0.0226732
+0.0246048
+0.0262494
+0.027903
+0.0294124
+0.0306653
+0.0320193
+0.0334502
+0.0348765
+0.0362655
+0.0377306
+0.0391303
+0.0401544
+0.0412695
+0.0424678
+0.0437287
+0.0450547
+0.0464463
+0.0478914
+0.0493601
+0.0508807
+0.0524466
+0.0540064
+0.0556087
+0.05725
+0.0589271
+0.0606369
+0.0623768
+0.0641444
+0.0659373
+0.0677536
+0.0690143
+0.0692176
+0.0694894
+0.0698289
+0.070209
+0.0706417
+0.0711392
+0.0717002
+0.0723233
+0.0730049
+0.0737143
+0.0744012
+0.0749854
+0.0756286
+0.0763293
+0.0770815
+0.0778805
+0.0787323
+0.0794439
+0.0801796
+0.0809679
+0.0818073
+0.0826922
+0.0794324
+0.0772875
+0.0751453
+0.0730059
+0.0708697
+0.0687369
+0.0666079
+0.064483
+0.0623515
+0.0602058
+0.0580635
+0.0559248
+0.0537894
+0.0516578
+0.0495308
+0.0474097
+0.0452952
+0.0431882
+0.0410901
+0.0390021
+0.036926
+0.0348639
+0.0328186
+0.0307932
+0.0287855
+0.0267964
+0.024828
+0.0228999
+0.0210233
+0.0192134
+0.0174908
+0.0158718
+0.0143943
+0.0130758
+0.0120142
+0.0112829
+0.0109098
+0.0109237
+0.011368
+0.0121813
+0.0132607
+0.0145912
+0.0161041
+0.0177415
+0.0194727
+0.0212887
+0.0231697
+0.024756
+0.0263405
+0.0279445
+0.0290958
+0.0303618
+0.0317288
+0.0330724
+0.0343947
+0.0353836
+0.0362492
+0.0372237
+0.0382988
+0.0394653
+0.0407062
+0.0420146
+0.043393
+0.044812
+0.0462746
+0.047793
+0.0493499
+0.0509103
+0.0525157
+0.0541622
+0.055846
+0.057564
+0.0593131
+0.0610908
+0.0628944
+0.064722
+0.0665715
+0.0677796
+0.0679866
+0.0682633
+0.0686087
+0.0689818
+0.0694221
+0.0699283
+0.070499
+0.0711325
+0.0718274
+0.0725817
+0.0733929
+0.0740013
+0.074653
+0.0753583
+0.0761123
+0.076892
+0.0775388
+0.078231
+0.078978
+0.0797671
+0.080604
+0.0814886
+0.0794346
+0.0772898
+0.0751476
+0.0730084
+0.0708722
+0.0687395
+0.0666106
+0.0644857
+0.0623655
+0.0602503
+0.0581391
+0.0560311
+0.0539296
+0.0518356
+0.0497498
+0.0476566
+0.0455563
+0.0434649
+0.0413837
+0.0393136
+0.037256
+0.0352135
+0.0331896
+0.0311883
+0.0292142
+0.0272733
+0.0253729
+0.0235061
+0.0216838
+0.0199339
+0.0182793
+0.0167482
+0.0153776
+0.0141574
+0.0131832
+0.0125203
+0.0122196
+0.012244
+0.012642
+0.0133911
+0.0144139
+0.0156467
+0.0170663
+0.0186192
+0.0202756
+0.0220256
+0.0235772
+0.0250371
+0.026571
+0.0277843
+0.0289421
+0.0302145
+0.0312222
+0.0318753
+0.0326132
+0.0334069
+0.0343224
+0.03535
+0.0364786
+0.0376902
+0.0389799
+0.0403431
+0.0417353
+0.043191
+0.0447068
+0.0462535
+0.0478145
+0.0494234
+0.0510756
+0.052767
+0.0544939
+0.0562532
+0.0580419
+0.0598573
+0.061697
+0.063559
+0.0654414
+0.0665941
+0.0668048
+0.0670864
+0.0674236
+0.0678032
+0.0682511
+0.0687659
+0.0693462
+0.0699902
+0.0706962
+0.0714625
+0.072287
+0.0730697
+0.073725
+0.0744311
+0.0750991
+0.0757039
+0.0763341
+0.0770215
+0.0777646
+0.0785617
+0.0794108
+0.0803025
+0.0794972
+0.0773542
+0.0752138
+0.0730765
+0.0709424
+0.0688119
+0.0666852
+0.0645629
+0.0624453
+0.0603328
+0.0582246
+0.0561198
+0.0540218
+0.0519315
+0.0498498
+0.0477778
+0.0457169
+0.0436686
+0.0416349
+0.0396179
+0.0376203
+0.0356454
+0.0336826
+0.0317164
+0.0297815
+0.0278845
+0.0260207
+0.0242069
+0.0224604
+0.0207981
+0.019242
+0.0178069
+0.016526
+0.015444
+0.0145561
+0.0139586
+0.0136895
+0.0137681
+0.0141259
+0.0148001
+0.0157523
+0.0168914
+0.0182168
+0.0196949
+0.0212748
+0.0227578
+0.0240496
+0.0254548
+0.0267613
+0.0277893
+0.0281461
+0.0285933
+0.0291896
+0.029855
+0.0306144
+0.0314586
+0.032429
+0.0335121
+0.0346886
+0.0359557
+0.0372869
+0.038662
+0.0401096
+0.0416223
+0.0431572
+0.044719
+0.0463318
+0.0479904
+0.0496903
+0.0514272
+0.0531977
+0.0549985
+0.0568267
+0.0586797
+0.0605552
+0.0624491
+0.0643602
+0.0654352
+0.0656747
+0.0659612
+0.0662897
+0.0666758
+0.0671312
+0.0676545
+0.0682442
+0.0688985
+0.0696156
+0.0703593
+0.0711574
+0.0719935
+0.072843
+0.0733716
+0.0739162
+0.0744971
+0.0751375
+0.0758357
+0.0765902
+0.0773995
+0.0782547
+0.0791594
+0.0796171
+0.0774766
+0.075339
+0.0732045
+0.0710735
+0.0689461
+0.0668229
+0.0647042
+0.0625905
+0.0604822
+0.05838
+0.0562845
+0.0541965
+0.0521169
+0.0500452
+0.047982
+0.0459303
+0.043892
+0.041869
+0.0398639
+0.0378793
+0.0359186
+0.0339861
+0.0320867
+0.0302268
+0.0284141
+0.0266582
+0.0249707
+0.0233577
+0.0217806
+0.0202999
+0.0189572
+0.0177838
+0.0167983
+0.0160438
+0.0155516
+0.0153105
+0.0153808
+0.0157404
+0.0163481
+0.0172152
+0.0182915
+0.0195243
+0.0209126
+0.0222991
+0.0234224
+0.0246794
+0.0253115
+0.0254668
+0.0257342
+0.0260676
+0.0265457
+0.0271416
+0.0278606
+0.0286435
+0.0295441
+0.0305714
+0.0317056
+0.0329453
+0.0342349
+0.035593
+0.0370311
+0.03854
+0.0400613
+0.041624
+0.0432412
+0.0449071
+0.0466164
+0.0483645
+0.0501475
+0.0519616
+0.0538037
+0.0556711
+0.0575601
+0.0594669
+0.0613927
+0.0633357
+0.0641721
+0.0644301
+0.0647507
+0.0650766
+0.0654698
+0.0659335
+0.0664662
+0.0670663
+0.0677319
+0.0684612
+0.0692521
+0.0700734
+0.0709352
+0.0717363
+0.0722172
+0.0727457
+0.0733359
+0.0739863
+0.0746953
+0.0754613
+0.0762777
+0.0771434
+0.078061
+0.0797883
+0.0776525
+0.0755199
+0.0733907
+0.0712652
+0.0691438
+0.0670268
+0.0649148
+0.0628081
+0.0607074
+0.0586132
+0.0565264
+0.0544478
+0.0523782
+0.050319
+0.0482713
+0.0462367
+0.044217
+0.0422139
+0.0402278
+0.0382621
+0.0363221
+0.0344123
+0.0325378
+0.0307021
+0.02891
+0.0271763
+0.025513
+0.0239348
+0.0224596
+0.0211091
+0.0199085
+0.0188809
+0.0180506
+0.0174573
+0.0171257
+0.0169756
+0.0170709
+0.0174124
+0.0180156
+0.018814
+0.0197734
+0.0209057
+0.0221971
+0.0231905
+0.0234407
+0.0232599
+0.0232545
+0.0234149
+0.0236495
+0.0240046
+0.0244921
+0.0251176
+0.0258859
+0.0266999
+0.0276638
+0.028747
+0.0299502
+0.0311919
+0.0325296
+0.033956
+0.0354605
+0.0369657
+0.0385294
+0.0401517
+0.0418259
+0.043546
+0.0453067
+0.0471035
+0.0489323
+0.0507899
+0.0526729
+0.0545747
+0.0564973
+0.0584388
+0.0603974
+0.0623714
+0.0629557
+0.0632089
+0.0635211
+0.0638713
+0.0642719
+0.0647441
+0.0652865
+0.0658973
+0.0665746
+0.0673165
+0.0681207
+0.0689851
+0.0699075
+0.0706102
+0.0710863
+0.0716231
+0.0722225
+0.0728828
+0.073602
+0.0743699
+0.0751937
+0.0760717
+0.076994
+0.0800191
+0.0778897
+0.0757637
+0.0736416
+0.0715236
+0.0694101
+0.0673015
+0.0651983
+0.0631011
+0.0610105
+0.0589271
+0.0568518
+0.0547855
+0.0527292
+0.0506842
+0.0486519
+0.0466313
+0.0446251
+0.0426371
+0.0406699
+0.0387268
+0.0368114
+0.0349284
+0.0330833
+0.0312829
+0.0295352
+0.0278468
+0.0262261
+0.0246935
+0.0232664
+0.0219655
+0.0208062
+0.019815
+0.0190254
+0.0184635
+0.0181502
+0.0180986
+0.0182989
+0.0187169
+0.0193723
+0.0201929
+0.0211732
+0.0222281
+0.0223856
+0.0217875
+0.02138
+0.0211922
+0.0212003
+0.0213762
+0.0215857
+0.0219491
+0.0224431
+0.0231241
+0.0239163
+0.024795
+0.0258211
+0.0269629
+0.028161
+0.0294734
+0.0308856
+0.0323784
+0.0338705
+0.0354354
+0.0370637
+0.0387474
+0.0404798
+0.0422546
+0.044067
+0.0459123
+0.0477868
+0.0496837
+0.0516025
+0.0535423
+0.0555007
+0.0574758
+0.0594292
+0.0613978
+0.0617189
+0.0619612
+0.0622796
+0.0626731
+0.0631127
+0.0635935
+0.0641456
+0.0647671
+0.065456
+0.0662103
+0.0670277
+0.067906
+0.0688429
+0.0694955
+0.0699794
+0.070528
+0.0711388
+0.0717997
+0.0725205
+0.0732997
+0.0741354
+0.075025
+0.0759559
+0.0797189
+0.0781876
+0.0760699
+0.0739566
+0.0718478
+0.0697441
+0.067646
+0.0655539
+0.0634684
+0.0613903
+0.0593203
+0.0572579
+0.0552033
+0.0531595
+0.0511279
+0.04911
+0.0471075
+0.0451225
+0.0431574
+0.041215
+0.0392988
+0.0374128
+0.0355616
+0.0337512
+0.0319884
+0.0302814
+0.0286404
+0.0270773
+0.0256063
+0.0242288
+0.022969
+0.0218566
+0.0209152
+0.0201688
+0.0196396
+0.0193454
+0.019297
+0.0194962
+0.0199202
+0.0205356
+0.0213195
+0.0221767
+0.0212536
+0.0204717
+0.0197972
+0.0193478
+0.0191402
+0.0191652
+0.0193489
+0.01953
+0.0198774
+0.0204235
+0.0211696
+0.0219886
+0.0229404
+0.0239978
+0.0251464
+0.0264269
+0.0278213
+0.0292901
+0.030776
+0.0323422
+0.0339775
+0.0356724
+0.0374188
+0.0392099
+0.0410397
+0.0429034
+0.0447943
+0.0467085
+0.0486461
+0.0506043
+0.0525789
+0.0545308
+0.0565001
+0.0584853
+0.0603388
+0.0605198
+0.0607669
+0.0610915
+0.0614925
+0.0619685
+0.0624902
+0.0630519
+0.0636841
+0.0643846
+0.0651513
+0.0659818
+0.0668739
+0.0677828
+0.0684328
+0.0689241
+0.06948
+0.0700881
+0.0707585
+0.0714897
+0.07228
+0.0731051
+0.0739729
+0.0748946
+0.0784677
+0.0774564
+0.0764073
+0.074302
+0.0722018
+0.0701071
+0.0680184
+0.0659364
+0.0638617
+0.0617949
+0.059737
+0.0576889
+0.0556516
+0.0536264
+0.0516148
+0.0496183
+0.0476389
+0.0456787
+0.0437405
+0.0418272
+0.0399424
+0.0380901
+0.0362741
+0.0344997
+0.0327749
+0.0311088
+0.0295114
+0.0279876
+0.0265531
+0.0252274
+0.0240287
+0.0229768
+0.0220848
+0.0213792
+0.0208807
+0.0206042
+0.0205588
+0.0207077
+0.021078
+0.0216646
+0.0215977
+0.0204429
+0.0194559
+0.018599
+0.0178539
+0.0173543
+0.0171225
+0.0171684
+0.0173266
+0.017446
+0.017834
+0.018443
+0.019266
+0.0201148
+0.0210711
+0.0221549
+0.0233941
+0.0247654
+0.026204
+0.0276823
+0.02925
+0.0308936
+0.0326017
+0.0343645
+0.0361741
+0.0380239
+0.0399071
+0.0418156
+0.0437504
+0.0457084
+0.0476812
+0.0496322
+0.0516026
+0.05359
+0.0555927
+0.0576091
+0.0591638
+0.0593502
+0.0596165
+0.0599599
+0.0603685
+0.0608532
+0.0614123
+0.0620163
+0.0626589
+0.0633708
+0.0641496
+0.064993
+0.0658539
+0.0665976
+0.0672796
+0.0678987
+0.0684739
+0.0690905
+0.0697523
+0.0704572
+0.0712225
+0.0720463
+0.0729259
+0.0738576
+0.0771627
+0.0760975
+0.0750769
+0.0740972
+0.0725913
+0.0705082
+0.0684318
+0.0663628
+0.0643018
+0.0622496
+0.0602073
+0.0581757
+0.0561561
+0.0541498
+0.0521583
+0.0501835
+0.0482273
+0.0462921
+0.0443806
+0.0424961
+0.0406424
+0.0388237
+0.0370454
+0.03531
+0.0336179
+0.0319864
+0.0304252
+0.0289457
+0.0275611
+0.0262863
+0.0251382
+0.0241285
+0.0232792
+0.022611
+0.0221402
+0.0218797
+0.0218369
+0.0219927
+0.0223417
+0.0213715
+0.0200137
+0.0187827
+0.0177149
+0.0167563
+0.0159748
+0.0154144
+0.0151529
+0.0152058
+0.0151915
+0.0153861
+0.0158301
+0.0165142
+0.0173285
+0.0182012
+0.0191972
+0.0203809
+0.0217215
+0.0231212
+0.0245896
+0.0261593
+0.027813
+0.0295367
+0.0313188
+0.0331499
+0.0350224
+0.0369241
+0.0388555
+0.0408131
+0.0427836
+0.0447338
+0.0467052
+0.0486955
+0.0507022
+0.0527236
+0.054758
+0.056804
+0.0579383
+0.0581298
+0.0584029
+0.058744
+0.059161
+0.0596555
+0.0602257
+0.0608695
+0.0615845
+0.0623665
+0.0631421
+0.0639139
+0.0647506
+0.0654644
+0.066158
+0.0668457
+0.0674332
+0.0680332
+0.0686831
+0.0693962
+0.0701703
+0.0710037
+0.0718942
+0.0728397
+0.07586
+0.0747762
+0.0737401
+0.0727438
+0.0718004
+0.0709122
+0.0689124
+0.0668582
+0.064813
+0.0627776
+0.060753
+0.0587403
+0.0567407
+0.0547559
+0.0527873
+0.0508369
+0.0489068
+0.0469996
+0.0451181
+0.0432658
+0.0414384
+0.0396471
+0.0378978
+0.0361965
+0.0345505
+0.0329678
+0.0314582
+0.0300327
+0.0286965
+0.0274669
+0.0263623
+0.025399
+0.0245936
+0.023962
+0.0235183
+0.0232732
+0.023233
+0.0232012
+0.021545
+0.0199599
+0.0184988
+0.0171934
+0.0160406
+0.0149752
+0.0141354
+0.0135511
+0.0132167
+0.0131044
+0.0130747
+0.0133003
+0.0138239
+0.014544
+0.0154038
+0.0162846
+0.0173903
+0.0186884
+0.0200431
+0.0214986
+0.0230705
+0.0247367
+0.0264794
+0.0282845
+0.0301408
+0.0320348
+0.0339616
+0.0359188
+0.0378864
+0.0398353
+0.0418082
+0.0438018
+0.0458134
+0.0478407
+0.0498818
+0.0519352
+0.0539993
+0.056073
+0.056707
+0.0569025
+0.0571814
+0.0575424
+0.0579821
+0.0584863
+0.0590675
+0.0597235
+0.0604502
+0.0611725
+0.0619639
+0.0628218
+0.0637036
+0.0643857
+0.0650909
+0.065766
+0.0663355
+0.0669533
+0.0676146
+0.0683388
+0.0691248
+0.0699707
+0.0708138
+0.0715547
+0.0745988
+0.0734965
+0.0724413
+0.0714268
+0.0704658
+0.0695606
+0.0687132
+0.0674212
+0.0653936
+0.0633769
+0.061372
+0.0593803
+0.0574031
+0.0554419
+0.0534982
+0.0515678
+0.0496589
+0.0477741
+0.0459164
+0.0440894
+0.0422969
+0.0405435
+0.0388346
+0.0371763
+0.0355756
+0.0340407
+0.0325808
+0.0312066
+0.0299229
+0.0287458
+0.0276922
+0.0267768
+0.0260141
+0.0254179
+0.025
+0.0247696
+0.0238762
+0.0221401
+0.0203824
+0.018699
+0.0171307
+0.015712
+0.0144441
+0.0132932
+0.0123156
+0.0116137
+0.0111398
+0.011004
+0.0109834
+0.0112506
+0.0118513
+0.0125861
+0.0134299
+0.0144222
+0.01566
+0.0169723
+0.0184098
+0.0199846
+0.0216666
+0.0234329
+0.0252657
+0.0271488
+0.0290693
+0.0310257
+0.0329895
+0.0349369
+0.0369115
+0.0389093
+0.0409269
+0.0429614
+0.0450105
+0.0470724
+0.0491455
+0.0512284
+0.0533019
+0.0549259
+0.0554946
+0.0556944
+0.0559793
+0.056348
+0.0567989
+0.0573295
+0.0579226
+0.0585917
+0.0592987
+0.0600348
+0.060841
+0.0617145
+0.0626524
+0.0633644
+0.0640808
+0.0646888
+0.0652677
+0.0659143
+0.0666002
+0.0673353
+0.0681329
+0.0688341
+0.069527
+0.0702815
+0.0733813
+0.0722604
+0.0711861
+0.0701535
+0.0691748
+0.0682524
+0.0673887
+0.0665858
+0.0658461
+0.0640328
+0.0620489
+0.0600793
+0.0581209
+0.0561783
+0.0542546
+0.052352
+0.0504727
+0.0486194
+0.0467953
+0.045004
+0.0432494
+0.0415363
+0.03987
+0.0382565
+0.036703
+0.0352172
+0.0338082
+0.0324768
+0.0312423
+0.0301169
+0.029113
+0.0282436
+0.0275216
+0.0269587
+0.0265651
+0.0247895
+0.0229199
+0.0211053
+0.0193495
+0.0175643
+0.0158809
+0.0142999
+0.0128537
+0.0115751
+0.0105148
+0.00967715
+0.0091164
+0.00894698
+0.00892165
+0.00924846
+0.00989991
+0.0107054
+0.0115228
+0.0126653
+0.0139136
+0.0153249
+0.0169031
+0.0186058
+0.0204019
+0.0222682
+0.0241795
+0.0261347
+0.0280932
+0.0300384
+0.0320154
+0.0340186
+0.0360436
+0.038087
+0.0401459
+0.042218
+0.0443016
+0.046395
+0.0484673
+0.0502266
+0.0518534
+0.0535205
+0.0543434
+0.0545475
+0.0548384
+0.0552147
+0.0556747
+0.0562151
+0.0568204
+0.0575025
+0.0581967
+0.0589468
+0.0597665
+0.0606402
+0.0615794
+0.0624034
+0.0631307
+0.063651
+0.0642393
+0.0648961
+0.0656196
+0.0663484
+0.0669362
+0.0675806
+0.0682863
+0.0690543
+0.072203
+0.0710628
+0.0699725
+0.0689263
+0.0679299
+0.0669904
+0.0661102
+0.0652916
+0.064537
+0.0638488
+0.0625398
+0.0605842
+0.0586452
+0.0567245
+0.0548241
+0.0529461
+0.051093
+0.0492677
+0.0474732
+0.0457133
+0.0439921
+0.0423125
+0.0406706
+0.0390825
+0.0375551
+0.0360962
+0.0347142
+0.0334188
+0.0322204
+0.0311303
+0.0301415
+0.0292718
+0.0285441
+0.0279694
+0.0260137
+0.0240538
+0.0221239
+0.020247
+0.0184018
+0.0165144
+0.0147114
+0.0129978
+0.0114011
+0.00999828
+0.00878543
+0.00780382
+0.00716065
+0.00690328
+0.00693937
+0.0072632
+0.00793702
+0.0087604
+0.00973566
+0.0108773
+0.0122467
+0.0138292
+0.0155598
+0.0173945
+0.0192942
+0.0212471
+0.0231978
+0.0251401
+0.0271202
+0.0291305
+0.0311652
+0.0332197
+0.0352905
+0.0373751
+0.0394711
+0.0415769
+0.043647
+0.0454376
+0.0471533
+0.0487842
+0.0504575
+0.0521692
+0.0532537
+0.0534619
+0.0537587
+0.0541425
+0.0546116
+0.0551484
+0.0557579
+0.0564303
+0.0571343
+0.057882
+0.058702
+0.0595913
+0.0605469
+0.0615054
+0.0621265
+0.0626525
+0.06325
+0.0638697
+0.0645328
+0.0651274
+0.0657227
+0.0663758
+0.0670942
+0.0678756
+0.0710658
+0.0699069
+0.0687984
+0.0677426
+0.0667328
+0.0657762
+0.0648795
+0.0640452
+0.0632757
+0.0625736
+0.061941
+0.061152
+0.0592316
+0.0573306
+0.0554509
+0.0535949
+0.0517603
+0.0499489
+0.0481689
+0.0464241
+0.0447186
+0.043057
+0.0414446
+0.0398874
+0.038392
+0.0369661
+0.0356179
+0.0343566
+0.0331921
+0.032116
+0.0311476
+0.0303067
+0.0295047
+0.0274796
+0.0254818
+0.0234454
+0.0214351
+0.0194638
+0.0175446
+0.0156758
+0.0137644
+0.0119291
+0.0101659
+0.00858125
+0.00718388
+0.00603411
+0.00520559
+0.00485428
+0.00477861
+0.0051765
+0.00596508
+0.00691035
+0.00787803
+0.00918179
+0.010769
+0.0125394
+0.0144177
+0.0163661
+0.018304
+0.0202417
+0.0222264
+0.0242466
+0.0262942
+0.0283631
+0.0304491
+0.0325488
+0.0346598
+0.0367801
+0.0388445
+0.0405975
+0.0423913
+0.0440834
+0.0457189
+0.0473992
+0.0491197
+0.0508764
+0.0521741
+0.0523974
+0.0526824
+0.0530565
+0.0535177
+0.0540638
+0.054686
+0.0553774
+0.0560939
+0.0568554
+0.05769
+0.0585948
+0.0595663
+0.0605689
+0.0610865
+0.061546
+0.0620794
+0.0626849
+0.0633604
+0.063958
+0.0645575
+0.0652223
+0.0659465
+0.066726
+0.0699786
+0.0688015
+0.0676749
+0.0666012
+0.0655832
+0.064612
+0.0636989
+0.0628489
+0.0620646
+0.0613486
+0.0607033
+0.0601308
+0.0596334
+0.057988
+0.056121
+0.0542782
+0.0524623
+0.0506759
+0.0489224
+0.0472055
+0.0455292
+0.0438983
+0.042318
+0.0407941
+0.0393333
+0.0379427
+0.0366305
+0.0353548
+0.0341498
+0.0330411
+0.0320297
+0.0311226
+0.0291426
+0.0270351
+0.0249409
+0.0228582
+0.0207965
+0.0187641
+0.0167597
+0.0147886
+0.0128819
+0.011071
+0.00921982
+0.00733858
+0.00567705
+0.00430299
+0.00330915
+0.00278359
+0.00262409
+0.00310618
+0.00398117
+0.0049209
+0.00615028
+0.0077391
+0.00956392
+0.0115
+0.0134136
+0.0153434
+0.0173353
+0.0193702
+0.0214357
+0.0235239
+0.0256293
+0.0277478
+0.0298768
+0.0320141
+0.0340048
+0.0357734
+0.037542
+0.039353
+0.0410178
+0.0426583
+0.0443463
+0.0460767
+0.0478448
+0.0496466
+0.0511271
+0.0513481
+0.051639
+0.0520206
+0.0524909
+0.0530475
+0.0536822
+0.0543864
+0.0551157
+0.0558905
+0.0567394
+0.0576569
+0.0585806
+0.0595141
+0.0599204
+0.0603888
+0.0609324
+0.0615492
+0.062237
+0.0628395
+0.0634392
+0.0640997
+0.0648274
+0.0656203
+0.068944
+0.0677489
+0.0666044
+0.0655133
+0.0644781
+0.0635016
+0.0625727
+0.0617072
+0.0609083
+0.0601785
+0.0595204
+0.0589365
+0.058429
+0.0579997
+0.0568535
+0.0550353
+0.0532451
+0.0514859
+0.049761
+0.048074
+0.0464292
+0.044831
+0.0432581
+0.04172
+0.0402402
+0.0388128
+0.0374567
+0.0361827
+0.0349994
+0.0339049
+0.0329038
+0.0309505
+0.0288086
+0.0266747
+0.0245498
+0.0224308
+0.0203258
+0.018241
+0.0161842
+0.0141675
+0.0121752
+0.0102533
+0.0083402
+0.00636527
+0.00445537
+0.00277079
+0.00152819
+0.000785099
+0.000551852
+0.0011658
+0.00211217
+0.0031804
+0.00475529
+0.00668154
+0.00853237
+0.0104452
+0.0124499
+0.0145085
+0.0166008
+0.0187157
+0.0208462
+0.0229881
+0.0251383
+0.0272304
+0.0291965
+0.0309726
+0.0327073
+0.034494
+0.0363249
+0.0379574
+0.0396035
+0.0413002
+0.0430415
+0.0448223
+0.046638
+0.0484847
+0.0500357
+0.0503562
+0.0506688
+0.0510576
+0.0515367
+0.0521036
+0.0527504
+0.0534569
+0.054182
+0.0549849
+0.055823
+0.0566921
+0.0576313
+0.0584053
+0.0588107
+0.0592878
+0.0598414
+0.0604693
+0.0611667
+0.0617508
+0.0623522
+0.063024
+0.0637641
+0.0645573
+0.067955
+0.0667426
+0.0655811
+0.0644731
+0.0634214
+0.0624289
+0.0614888
+0.060613
+0.0598023
+0.0590588
+0.0583882
+0.0577928
+0.0572751
+0.0568372
+0.0564809
+0.055868
+0.0541054
+0.0523516
+0.0506162
+0.0489173
+0.0472588
+0.0456453
+0.0440738
+0.0425474
+0.0410812
+0.0396818
+0.0383565
+0.0371134
+0.0359497
+0.0348698
+0.0328925
+0.0307924
+0.0286351
+0.0264828
+0.0243374
+0.0222008
+0.0200758
+0.0179667
+0.0158768
+0.0138018
+0.0117202
+0.00966398
+0.00761258
+0.00551844
+0.00353587
+0.00163092
+-0.000127148
+-0.00115487
+-0.00137389
+-0.0007101
+0.000238937
+0.00184478
+0.00369664
+0.00554715
+0.00758116
+0.00968373
+0.0118183
+0.0139702
+0.0161281
+0.0182889
+0.0204142
+0.0224627
+0.0244241
+0.0262081
+0.027895
+0.029648
+0.0314558
+0.0333096
+0.0349038
+0.036556
+0.0382625
+0.0400161
+0.0418109
+0.0436419
+0.0455047
+0.0473956
+0.0487084
+0.0494399
+0.0497606
+0.050172
+0.0506594
+0.051236
+0.051886
+0.0525421
+0.0532797
+0.0540958
+0.0549132
+0.0557964
+0.0567505
+0.0573567
+0.0577628
+0.0582485
+0.0588118
+0.0594506
+0.0601529
+0.0607125
+0.0613241
+0.0619974
+0.0627347
+0.0635391
+0.0669927
+0.0657889
+0.0646102
+0.0634853
+0.0624169
+0.0614082
+0.0604522
+0.0595612
+0.0587366
+0.0579794
+0.0572961
+0.0566893
+0.0561614
+0.0557148
+0.0553512
+0.0550658
+0.0547096
+0.0531246
+0.0514152
+0.0497358
+0.0480901
+0.0464893
+0.0449383
+0.0434425
+0.0420077
+0.0406403
+0.0393475
+0.0381359
+0.0369911
+0.0349741
+0.0328891
+0.0307601
+0.0285999
+0.0264448
+0.024296
+0.0221554
+0.0200256
+0.0179025
+0.0157435
+0.0135946
+0.0114616
+0.00935521
+0.00720049
+0.0050351
+0.00290087
+0.000805772
+-0.00116529
+-0.00296017
+-0.00338908
+-0.00260176
+-0.000921587
+0.000653893
+0.0028057
+0.00496804
+0.00714564
+0.00932911
+0.0114855
+0.0135834
+0.0157067
+0.0177542
+0.0197136
+0.0214946
+0.023119
+0.0248225
+0.0265975
+0.0284305
+0.0302671
+0.0318586
+0.0335179
+0.0352352
+0.0370026
+0.0388131
+0.0406611
+0.0425417
+0.0444506
+0.0461398
+0.0474451
+0.0486052
+0.0489314
+0.0493528
+0.049863
+0.0504368
+0.051019
+0.0516876
+0.0524393
+0.0532469
+0.0540686
+0.0549654
+0.0559336
+0.0563622
+0.0567755
+0.0572695
+0.0578424
+0.0584898
+0.0591784
+0.0597253
+0.0603363
+0.0610151
+0.0617642
+0.0625811
+0.0659723
+0.0647985
+0.0636745
+0.0625586
+0.0614742
+0.0604497
+0.0594784
+0.0585725
+0.0577337
+0.0569633
+0.0562677
+0.0556496
+0.0551118
+0.0546565
+0.0542859
+0.0539949
+0.0537812
+0.0532687
+0.0522472
+0.0505883
+0.0489712
+0.0474002
+0.04588
+0.0444159
+0.0430136
+0.0416793
+0.0404197
+0.0392413
+0.0371911
+0.0350926
+0.0329701
+0.0308272
+0.0286915
+0.0265634
+0.0243855
+0.02221
+0.0200379
+0.0178689
+0.0157017
+0.0135406
+0.0113907
+0.00926006
+0.0071078
+0.00492081
+0.00273894
+0.000583547
+-0.00154227
+-0.00365051
+-0.0050136
+-0.00318644
+-0.0010523
+0.00109711
+0.00300287
+0.00493216
+0.00694695
+0.00899685
+0.0110947
+0.0131849
+0.0150785
+0.0167507
+0.0183994
+0.0200326
+0.0217573
+0.0235595
+0.0254228
+0.0272322
+0.0288248
+0.0304918
+0.0322214
+0.0340043
+0.0358325
+0.0376993
+0.0395993
+0.0415279
+0.0434705
+0.0449112
+0.0462512
+0.0476542
+0.0481577
+0.0485858
+0.04907
+0.0495885
+0.0501806
+0.0508602
+0.0516239
+0.0524358
+0.0532701
+0.0541801
+0.0550801
+0.0554337
+0.0558538
+0.056356
+0.0569381
+0.0575956
+0.0582469
+0.0587917
+0.0594074
+0.0600967
+0.0608571
+0.061686
+0.0649836
+0.0638021
+0.062675
+0.061596
+0.060571
+0.059556
+0.0585703
+0.0576502
+0.0567978
+0.0560144
+0.0553069
+0.054678
+0.0541305
+0.0536669
+0.0532894
+0.0529929
+0.0527751
+0.0525009
+0.0519666
+0.0515199
+0.049933
+0.0483932
+0.0469052
+0.0454741
+0.0441055
+0.0428052
+0.0415797
+0.0395177
+0.0373783
+0.0352311
+0.0330865
+0.0309024
+0.0287193
+0.0265374
+0.0243571
+0.0221789
+0.0200034
+0.0178302
+0.0156577
+0.0134895
+0.01133
+0.00918518
+0.00705458
+0.00490117
+0.00278922
+0.000753071
+-0.00143503
+-0.00294001
+-0.00354607
+-0.00250452
+-0.00104458
+0.000439835
+0.0021652
+0.00428034
+0.00643684
+0.00860169
+0.0105213
+0.0120508
+0.0137422
+0.0153053
+0.0169506
+0.0187029
+0.0205395
+0.0224398
+0.0242133
+0.0258063
+0.0274817
+0.0292253
+0.0310257
+0.0328735
+0.0347611
+0.0366825
+0.0386281
+0.0405877
+0.0423808
+0.0437372
+0.0451296
+0.0465665
+0.047444
+0.0478203
+0.048272
+0.0487818
+0.0493836
+0.050074
+0.0508379
+0.0516138
+0.0524611
+0.0533849
+0.0542353
+0.0545774
+0.055004
+0.0555139
+0.0561047
+0.0567719
+0.057373
+0.0579209
+0.0585458
+0.0592451
+0.0600163
+0.0608524
+0.0640546
+0.0628556
+0.0617112
+0.0606244
+0.0595982
+0.0586244
+0.057697
+0.0567974
+0.0559319
+0.0551363
+0.0544173
+0.053778
+0.0532213
+0.0527497
+0.0523656
+0.0520639
+0.0518422
+0.0517124
+0.0512729
+0.0508201
+0.0504585
+0.0494633
+0.0480085
+0.0466113
+0.0452771
+0.0440114
+0.0418956
+0.0397467
+0.0375666
+0.0353877
+0.0332105
+0.0310351
+0.028862
+0.0266918
+0.0245252
+0.0223634
+0.0202077
+0.0180592
+0.0158832
+0.0137048
+0.0115284
+0.00935868
+0.00720168
+0.00507363
+0.00303157
+0.00119609
+-0.000192058
+-0.00153744
+-0.00177797
+-0.00221407
+-0.000606245
+0.000898554
+0.00249194
+0.00428856
+0.00605306
+0.00754699
+0.00905589
+0.0106948
+0.0122131
+0.0138757
+0.0156656
+0.0175467
+0.0194599
+0.0212173
+0.0228091
+0.0244936
+0.0262529
+0.0280729
+0.0299427
+0.0318534
+0.033798
+0.0357575
+0.037739
+0.0397264
+0.0412132
+0.0426036
+0.044056
+0.0455472
+0.0467428
+0.0471227
+0.047544
+0.0480615
+0.0486721
+0.0493606
+0.0500916
+0.0508724
+0.0517318
+0.0526684
+0.0534398
+0.0537967
+0.0542295
+0.0547466
+0.0553456
+0.0560218
+0.0565652
+0.0571209
+0.0577545
+0.0584632
+0.0592402
+0.060076
+0.0631879
+0.0619722
+0.0608111
+0.0597079
+0.0586657
+0.0576804
+0.0567498
+0.0558772
+0.0550779
+0.0543324
+0.0536027
+0.0529535
+0.052388
+0.0519089
+0.0515185
+0.0512117
+0.0509863
+0.0508455
+0.0506646
+0.0502063
+0.0498402
+0.0495587
+0.0491848
+0.0478219
+0.0464851
+0.0443116
+0.0421399
+0.0399702
+0.0378029
+0.0356386
+0.0334776
+0.0313208
+0.029169
+0.0270051
+0.0248348
+0.0226685
+0.0205073
+0.0183532
+0.0162088
+0.0140787
+0.0119705
+0.00989817
+0.00789006
+0.00596518
+0.00410339
+0.00245592
+0.000797818
+0.000160822
+-0.00046269
+-0.000531225
+-0.000231461
+0.000786349
+0.00226118
+0.00370947
+0.00472977
+0.00615016
+0.00762143
+0.00912325
+0.0108141
+0.012658
+0.0145975
+0.016407
+0.0181997
+0.0198429
+0.0215366
+0.0233132
+0.0251551
+0.0270492
+0.028985
+0.0309488
+0.0329282
+0.0349327
+0.0368864
+0.0386029
+0.0401239
+0.0415475
+0.0430356
+0.0445817
+0.0461351
+0.04648
+0.046907
+0.0474315
+0.0480379
+0.0486902
+0.0494149
+0.0502037
+0.0510744
+0.0520229
+0.0527157
+0.053095
+0.0535334
+0.0540572
+0.0546637
+0.0553483
+0.0558318
+0.0563947
+0.0570363
+0.0577494
+0.0585244
+0.0593703
+0.0623861
+0.0611544
+0.0599775
+0.0588587
+0.0578012
+0.0568007
+0.0558602
+0.0549734
+0.0541608
+0.0534257
+0.0527713
+0.0521926
+0.0516343
+0.0511481
+0.0507518
+0.0504315
+0.0501841
+0.0500315
+0.0499745
+0.0496816
+0.0493116
+0.0490271
+0.04883
+0.0487307
+0.0467791
+0.0446199
+0.0424639
+0.0403117
+0.0381546
+0.0359899
+0.0338286
+0.0316713
+0.0295189
+0.0273727
+0.025234
+0.0231052
+0.020989
+0.0188898
+0.0168141
+0.0147715
+0.0127268
+0.010695
+0.00873175
+0.0068965
+0.00524407
+0.00356837
+0.00218312
+0.00127321
+0.000318616
+7.55888e-05
+-0.000144838
+0.000512042
+0.00121744
+0.00243384
+0.00353201
+0.0045814
+0.0060388
+0.00778145
+0.00970577
+0.0116625
+0.0133749
+0.0152057
+0.0169241
+0.0186255
+0.0204204
+0.0222861
+0.0242064
+0.0261692
+0.0281476
+0.0301517
+0.0320919
+0.0339983
+0.0358333
+0.0375424
+0.0391236
+0.0405824
+0.0421046
+0.0436836
+0.0452573
+0.0459329
+0.0463649
+0.0468829
+0.0474501
+0.0481104
+0.0488246
+0.0496229
+0.0505036
+0.0514625
+0.0520737
+0.0524754
+0.052919
+0.0534487
+0.0540621
+0.054688
+0.0551756
+0.0557452
+0.0563895
+0.057099
+0.0578828
+0.0587378
+0.0616355
+0.0604039
+0.0592133
+0.0580798
+0.0570079
+0.055993
+0.0550388
+0.0541386
+0.0533132
+0.0525663
+0.0519011
+0.0513209
+0.0508201
+0.0503998
+0.0500463
+0.0497073
+0.0494563
+0.0493014
+0.0492436
+0.0492287
+0.048871
+0.0485884
+0.0483896
+0.0482894
+0.0471522
+0.0449938
+0.0428386
+0.0406872
+0.0385403
+0.0363986
+0.0342631
+0.032135
+0.0300159
+0.0279079
+0.0258136
+0.0237368
+0.0216823
+0.0195943
+0.0175289
+0.0154981
+0.0135172
+0.0116119
+0.0098066
+0.00811732
+0.00638554
+0.00477348
+0.00362497
+0.00265231
+0.00100693
+0.000735629
+0.000494655
+-0.000948241
+0.000454428
+0.00119118
+0.00164481
+0.00297814
+0.00482744
+0.00683096
+0.00862891
+0.0103818
+0.0121604
+0.0139937
+0.0157858
+0.0175976
+0.0194873
+0.0214342
+0.0234115
+0.0254154
+0.027333
+0.0292226
+0.0311506
+0.0330468
+0.0347033
+0.0363346
+0.0380213
+0.0397147
+0.0412689
+0.0428788
+0.0444697
+0.0454848
+0.045894
+0.046384
+0.0469572
+0.0476075
+0.0483265
+0.0491329
+0.0500222
+0.0507678
+0.0514911
+0.05193
+0.052389
+0.052924
+0.0535435
+0.0541067
+0.0545996
+0.0551703
+0.0558093
+0.0565261
+0.0573177
+0.0581811
+0.0609404
+0.0596944
+0.058504
+0.0573669
+0.0562814
+0.0552603
+0.0542935
+0.0533807
+0.0525435
+0.0517854
+0.0511101
+0.0505208
+0.0500206
+0.0496035
+0.0492702
+0.0490326
+0.0488135
+0.0486565
+0.0485979
+0.0486381
+0.0485067
+0.0482314
+0.0480451
+0.0479442
+0.0475659
+0.0454271
+0.0432935
+0.0411659
+0.0390453
+0.0369329
+0.0348302
+0.032739
+0.0306617
+0.0285746
+0.0264848
+0.0244126
+0.0223631
+0.020343
+0.018362
+0.0164344
+0.0145773
+0.0126978
+0.0108785
+0.00920362
+0.00771604
+0.00636597
+0.00501856
+0.003414
+0.00211215
+0.00108802
+-0.000415294
+-0.000292504
+-0.000807852
+-0.000902449
+0.000216402
+0.00206068
+0.00401375
+0.00563523
+0.00741525
+0.00915074
+0.0110251
+0.0128679
+0.0147474
+0.0167028
+0.0187096
+0.0206952
+0.0225466
+0.0244532
+0.0264039
+0.0283555
+0.0301917
+0.0319065
+0.0335363
+0.035219
+0.0369542
+0.0387356
+0.0405287
+0.0421614
+0.0437777
+0.0450906
+0.0454898
+0.0459841
+0.0465622
+0.0471983
+0.0479235
+0.0487365
+0.0494255
+0.0500754
+0.0508086
+0.0514651
+0.0519461
+0.0524856
+0.0531099
+0.0536087
+0.0541011
+0.054665
+0.0553099
+0.0560331
+0.0568315
+0.0577022
+0.0603169
+0.0590578
+0.0578542
+0.0567088
+0.0556216
+0.0545919
+0.0536273
+0.052703
+0.0518548
+0.0510866
+0.0504019
+0.0498042
+0.0492967
+0.0488822
+0.0485469
+0.0483057
+0.0481631
+0.0480861
+0.0480268
+0.0480674
+0.0482027
+0.0479624
+0.0477844
+0.0476972
+0.0476963
+0.0459609
+0.0438533
+0.0417542
+0.0396651
+0.0375799
+0.0354794
+0.0333906
+0.0313156
+0.0292576
+0.0272202
+0.0252086
+0.0232294
+0.0212916
+0.0194012
+0.017453
+0.0155527
+0.013739
+0.0120512
+0.0105134
+0.00920872
+0.00766639
+0.00630477
+0.00481283
+0.00303324
+0.00116985
+9.27584e-05
+-0.000667959
+-0.0020665
+-0.00195733
+-0.00070572
+0.00116358
+0.00276245
+0.00443174
+0.00615603
+0.00805679
+0.00988947
+0.0118366
+0.0138461
+0.0158887
+0.0178211
+0.0196979
+0.0216337
+0.0236141
+0.0256288
+0.0273881
+0.0291177
+0.0307944
+0.0324705
+0.0342048
+0.0359889
+0.0378158
+0.0396795
+0.0415465
+0.0431859
+0.0447864
+0.0451724
+0.0456559
+0.0462382
+0.046888
+0.047618
+0.0482235
+0.048807
+0.0494705
+0.0502125
+0.0510378
+0.0515924
+0.0521356
+0.0527563
+0.0531912
+0.0536753
+0.0542435
+0.0548934
+0.055622
+0.0564263
+0.0573031
+0.0597589
+0.0584878
+0.0572723
+0.056116
+0.0550227
+0.0539927
+0.0530099
+0.0520924
+0.0512507
+0.0504732
+0.0497801
+0.0491749
+0.0486608
+0.0482409
+0.047901
+0.0476566
+0.0475121
+0.0474683
+0.0475256
+0.0475909
+0.0477325
+0.0477556
+0.0476138
+0.0475357
+0.0475491
+0.0465917
+0.0444894
+0.0423917
+0.0403039
+0.0382275
+0.0361647
+0.0341178
+0.0320899
+0.0300849
+0.0281076
+0.0261643
+0.0242173
+0.0222476
+0.0203232
+0.0184584
+0.0166729
+0.0149953
+0.0134297
+0.0119534
+0.010496
+0.00896212
+0.00720367
+0.00533493
+0.00357487
+0.001951
+0.000702635
+-0.000770689
+-0.00284079
+-0.00322532
+-0.00165883
+-0.000173492
+0.00137858
+0.00316505
+0.00510979
+0.00701503
+0.00901651
+0.0110833
+0.0130298
+0.0150321
+0.016937
+0.0189017
+0.0208734
+0.0227815
+0.0246551
+0.0263979
+0.0281256
+0.0297907
+0.0315202
+0.033304
+0.0351339
+0.037003
+0.0389057
+0.0408373
+0.0426984
+0.044389
+0.0449344
+0.0454204
+0.0460057
+0.0465961
+0.0471689
+0.0476454
+0.0482167
+0.0488796
+0.0496305
+0.0504653
+0.0513189
+0.0518759
+0.052447
+0.0528489
+0.053336
+0.0539079
+0.0545617
+0.0552947
+0.0561037
+0.0569854
+0.0592581
+0.057992
+0.0567676
+0.0556008
+0.0544972
+0.0534606
+0.0524751
+0.0515481
+0.050699
+0.0499315
+0.049248
+0.0486361
+0.0481163
+0.0476916
+0.0473478
+0.0471005
+0.0469543
+0.04691
+0.0469679
+0.0471277
+0.047354
+0.0475973
+0.0475067
+0.0474654
+0.0474881
+0.0472213
+0.0451443
+0.0430784
+0.0410255
+0.0389877
+0.0369673
+0.0349674
+0.0329918
+0.0310451
+0.0290518
+0.0270794
+0.0251431
+0.023252
+0.0214181
+0.0196573
+0.0179862
+0.0163832
+0.014838
+0.0132058
+0.0113838
+0.00956966
+0.00767149
+0.00587091
+0.00410933
+0.00213573
+0.000321656
+-0.00140214
+-0.00290768
+-0.004398
+-0.00308124
+-0.0015748
+0.000263007
+0.00229897
+0.00434319
+0.00621551
+0.0081409
+0.0101472
+0.0121897
+0.0141704
+0.0161261
+0.0180043
+0.0199464
+0.0219218
+0.0237709
+0.0255261
+0.0271999
+0.0289184
+0.0306971
+0.0325261
+0.0343974
+0.0363044
+0.0382419
+0.0402053
+0.0421912
+0.043992
+0.0448023
+0.0452576
+0.0457442
+0.0462439
+0.046627
+0.0471089
+0.0476866
+0.0483568
+0.0491156
+0.0499591
+0.0508829
+0.0517019
+0.0521918
+0.0525938
+0.0530833
+0.0536578
+0.0543147
+0.0550509
+0.0558635
+0.056749
+0.0588302
+0.0575548
+0.0563293
+0.0551619
+0.0540554
+0.0530101
+0.0520272
+0.0510921
+0.0502352
+0.0494605
+0.0487721
+0.0481673
+0.0476543
+0.0472374
+0.0468905
+0.0466408
+0.0464931
+0.0464483
+0.0465069
+0.0466683
+0.0469302
+0.047274
+0.0474832
+0.0474591
+0.0475189
+0.0476424
+0.0458944
+0.0438639
+0.0418496
+0.0398539
+0.0378797
+0.0359032
+0.0339047
+0.0319315
+0.0299884
+0.0280818
+0.0262197
+0.0244121
+0.0226722
+0.0210076
+0.0193516
+0.0177506
+0.0158989
+0.0140082
+0.0121177
+0.010143
+0.00827167
+0.00654399
+0.00444976
+0.00252185
+0.000498575
+-0.00125168
+-0.00312601
+-0.00497371
+-0.00446034
+-0.0024287
+-0.000487463
+0.00141231
+0.00325594
+0.00528704
+0.00739722
+0.00937608
+0.0113426
+0.0133155
+0.0152216
+0.0171765
+0.019182
+0.0212242
+0.0230084
+0.0247237
+0.0264216
+0.0281876
+0.0300096
+0.0318781
+0.0337853
+0.035725
+0.0376923
+0.0396829
+0.0416909
+0.0436272
+0.0447032
+0.0450895
+0.0455114
+0.0457959
+0.0461826
+0.0466691
+0.0472523
+0.0479285
+0.048694
+0.0495447
+0.0504761
+0.0514838
+0.0520098
+0.0524133
+0.0529044
+0.0534808
+0.0541398
+0.0548784
+0.0556935
+0.0565816
+0.0584814
+0.0571981
+0.0559649
+0.0547897
+0.0536783
+0.0526347
+0.0516628
+0.0507228
+0.0498596
+0.049079
+0.0483851
+0.0477795
+0.0472622
+0.0468418
+0.0465209
+0.0462803
+0.0461314
+0.0460864
+0.0461453
+0.046308
+0.046572
+0.0469183
+0.0473636
+0.0475367
+0.0476136
+0.0477736
+0.0467353
+0.044743
+0.0427701
+0.0407646
+0.0387692
+0.0367959
+0.0348486
+0.032932
+0.0310516
+0.0292145
+0.0274293
+0.025707
+0.0240165
+0.0223552
+0.0205737
+0.0186557
+0.0167947
+0.0148013
+0.0128617
+0.0110165
+0.00909989
+0.00708365
+0.00520224
+0.00330464
+0.00122624
+-0.000806949
+-0.00288961
+-0.0049471
+-0.00542689
+-0.0034628
+-0.00158316
+0.000545345
+0.00261562
+0.00462687
+0.00656823
+0.00852666
+0.0105766
+0.0125495
+0.0145331
+0.016569
+0.0185793
+0.0205829
+0.0223415
+0.0240368
+0.02578
+0.027587
+0.0294463
+0.0313483
+0.0332859
+0.0352531
+0.0372453
+0.0392587
+0.0412872
+0.0433302
+0.0446129
+0.0449808
+0.0451625
+0.0454491
+0.0458388
+0.0463289
+0.0469163
+0.0475973
+0.0483681
+0.0492243
+0.0501615
+0.0511598
+0.0519197
+0.0523238
+0.0528158
+0.0533932
+0.0540533
+0.0547931
+0.0556093
+0.0564988
+0.0582098
+0.056917
+0.0556796
+0.054502
+0.0533857
+0.0523362
+0.0513588
+0.0504376
+0.0495694
+0.0487842
+0.048086
+0.0474788
+0.0469659
+0.0465461
+0.0462231
+0.0460023
+0.0458717
+0.0458263
+0.0458857
+0.0460492
+0.0463147
+0.046663
+0.0471106
+0.0476354
+0.0477914
+0.047968
+0.0476441
+0.0456339
+0.0436412
+0.0416683
+0.0397183
+0.0377946
+0.0359016
+0.0340442
+0.0322288
+0.0304627
+0.0287552
+0.0270344
+0.0253142
+0.0233951
+0.0215057
+0.0195772
+0.0176186
+0.0157213
+0.0139106
+0.0119156
+0.00998761
+0.00791244
+0.00583024
+0.00373513
+0.00165043
+-0.000374153
+-0.00244209
+-0.004442
+-0.00504762
+-0.00349282
+-0.00188672
+8.21478e-05
+0.00206792
+0.00397969
+0.00595844
+0.00803992
+0.010049
+0.012034
+0.0140801
+0.0160618
+0.0180592
+0.0199371
+0.0217139
+0.0235211
+0.0253122
+0.0271504
+0.0290376
+0.0309648
+0.032925
+0.0349125
+0.0369231
+0.0389531
+0.0409968
+0.0430536
+0.0446155
+0.0447287
+0.0449114
+0.0451997
+0.0455915
+0.0460842
+0.0466746
+0.0473592
+0.0481337
+0.0489941
+0.0499252
+0.0509257
+0.051922
+0.0523261
+0.052818
+0.0533954
+0.0540555
+0.0547952
+0.0556114
+0.0565009
+0.0579748
+0.0566965
+0.0554661
+0.0542853
+0.0531672
+0.0521173
+0.0511398
+0.0502161
+0.0493628
+0.0485864
+0.0478854
+0.0472755
+0.0467605
+0.0463433
+0.0460268
+0.045806
+0.0456883
+0.0456672
+0.0457267
+0.0458908
+0.0461585
+0.0465095
+0.0469586
+0.047485
+0.0480683
+0.0482442
+0.0485181
+0.0465462
+0.0445942
+0.0426654
+0.0407631
+0.0388912
+0.0370542
+0.0352576
+0.033508
+0.0317798
+0.0300686
+0.028189
+0.026279
+0.0244018
+0.0224366
+0.020517
+0.0186573
+0.0167529
+0.0146453
+0.0125662
+0.0105324
+0.0085041
+0.00653305
+0.00445833
+0.00240259
+0.000421341
+-0.00158295
+-0.00331871
+-0.00413076
+-0.00281153
+-0.00130617
+0.000286899
+0.00204891
+0.00390924
+0.0058708
+0.00780445
+0.00979146
+0.011799
+0.0137184
+0.0156891
+0.0176637
+0.019435
+0.0212514
+0.0231327
+0.0250281
+0.0268858
+0.0287903
+0.030733
+0.0327071
+0.0347071
+0.0367289
+0.0387691
+0.040822
+0.0428872
+0.0444754
+0.0445686
+0.0447519
+0.0450412
+0.0454344
+0.0459288
+0.0465212
+0.0472079
+0.0479849
+0.0488479
+0.0497818
+0.0507851
+0.0518616
+0.0524199
+0.052911
+0.0534874
+0.0541463
+0.0548848
+0.0556998
+0.0565878
+0.057822
+0.0565402
+0.0553155
+0.0541423
+0.0530259
+0.0519778
+0.0510023
+0.0500767
+0.049221
+0.0484493
+0.047765
+0.0471599
+0.0466491
+0.0462365
+0.0459218
+0.0457075
+0.0455961
+0.0455833
+0.0456549
+0.0458193
+0.0460874
+0.0464573
+0.0469085
+0.0474355
+0.0480567
+0.0486173
+0.0487177
+0.047542
+0.0456326
+0.0437496
+0.0418966
+0.0400776
+0.0382976
+0.0365622
+0.034814
+0.0330136
+0.0310913
+0.0292068
+0.0272832
+0.0253521
+0.0234665
+0.0215022
+0.0194158
+0.0173552
+0.0153306
+0.0133586
+0.0113817
+0.00931543
+0.00731073
+0.00523478
+0.00325933
+0.00141477
+-0.000252864
+-0.00194549
+-0.00303892
+-0.00192854
+-0.000630316
+0.000848597
+0.00250953
+0.00417254
+0.00601228
+0.0079057
+0.00977935
+0.0117045
+0.0135777
+0.0154891
+0.0173705
+0.0191689
+0.0210084
+0.0229096
+0.0248586
+0.0267982
+0.0287085
+0.0306564
+0.0326351
+0.0346393
+0.0366649
+0.0387084
+0.0407644
+0.0426094
+0.0439494
+0.04451
+0.0446993
+0.044989
+0.0453826
+0.0458775
+0.0464706
+0.0471581
+0.0479359
+0.0487998
+0.0497345
+0.0507388
+0.0518163
+0.052605
+0.0530943
+0.0536687
+0.0543255
+0.0550616
+0.0558739
+0.0567592
+0.0577519
+0.0564686
+0.0552423
+0.0540769
+0.052967
+0.0519177
+0.0509411
+0.0500328
+0.0491764
+0.048404
+0.0477197
+0.0471275
+0.0466219
+0.0462091
+0.0458954
+0.045681
+0.0455709
+0.0455661
+0.0456637
+0.0458525
+0.0461203
+0.04649
+0.0469445
+0.0474871
+0.0481076
+0.0488186
+0.0486536
+0.0480675
+0.0467507
+0.0449146
+0.0431116
+0.0413461
+0.0395966
+0.0378572
+0.0359269
+0.0340281
+0.0321456
+0.0302076
+0.0283064
+0.0263063
+0.0242375
+0.022192
+0.0201771
+0.0182028
+0.0162362
+0.0141977
+0.0121386
+0.0100933
+0.00812406
+0.00624508
+0.00443694
+0.00255783
+0.000984712
+-0.000413972
+-0.00142919
+-0.00079583
+0.000347532
+0.00159505
+0.00308405
+0.00462848
+0.00636872
+0.00817799
+0.00986541
+0.0115759
+0.0134151
+0.0153468
+0.0173402
+0.0191513
+0.0209923
+0.0228949
+0.024845
+0.026819
+0.0287717
+0.0307362
+0.03271
+0.0347099
+0.0367316
+0.0387714
+0.0406633
+0.042009
+0.0433676
+0.0445232
+0.0447482
+0.0450433
+0.0454365
+0.0459309
+0.0465233
+0.04721
+0.047987
+0.0488499
+0.0497837
+0.050787
+0.0518635
+0.0528801
+0.053367
+0.0539385
+0.054592
+0.0553245
+0.0561331
+0.0570144
+0.0577649
+0.0564818
+0.0552558
+0.0540908
+0.0529896
+0.051941
+0.0509648
+0.0500655
+0.0492293
+0.0484578
+0.0477743
+0.0471827
+0.0466865
+0.0462855
+0.0459724
+0.0457583
+0.0456484
+0.0456436
+0.045741
+0.0459321
+0.0462264
+0.0466219
+0.0470789
+0.0476236
+0.0482506
+0.0489595
+0.0486881
+0.0481024
+0.0476103
+0.0461541
+0.0444016
+0.0426373
+0.0407775
+0.0388688
+0.0369913
+0.035075
+0.0331635
+0.0311398
+0.0290848
+0.0270511
+0.0250438
+0.02307
+0.0211111
+0.0190597
+0.0170001
+0.0149779
+0.0130102
+0.0111078
+0.00926604
+0.00735786
+0.00556682
+0.00391783
+0.00241817
+0.00116022
+0.000257061
+0.000350181
+0.00146645
+0.00265467
+0.00392298
+0.00531339
+0.00684989
+0.00843489
+0.010081
+0.0117988
+0.0136079
+0.0155156
+0.0174587
+0.0192779
+0.0210885
+0.0229442
+0.0248408
+0.0267778
+0.0287332
+0.0307194
+0.0327301
+0.0347478
+0.036709
+0.0386949
+0.0401073
+0.0414878
+0.0428573
+0.0442646
+0.0446696
+0.0450007
+0.0454265
+0.0459525
+0.0465756
+0.0472853
+0.0480804
+0.0489606
+0.0499215
+0.0509295
+0.052003
+0.0531452
+0.0537277
+0.0542954
+0.0549446
+0.0556725
+0.0564761
+0.0573521
+0.0578315
+0.0565499
+0.0553254
+0.0541619
+0.0530634
+0.0520339
+0.0510736
+0.0501762
+0.0493598
+0.0486103
+0.047929
+0.0473394
+0.0468448
+0.0464485
+0.0461466
+0.0459334
+0.0458239
+0.0458191
+0.0459189
+0.0461132
+0.0464063
+0.0468003
+0.0472925
+0.0478564
+0.0484804
+0.0491861
+0.0487727
+0.0482073
+0.0477357
+0.0473519
+0.0456384
+0.0437223
+0.0418332
+0.0399501
+0.0380312
+0.0359909
+0.0339469
+0.0319222
+0.029921
+0.0279481
+0.0259842
+0.023919
+0.0218782
+0.0198693
+0.0179032
+0.0159912
+0.0141247
+0.0122163
+0.0103514
+0.008616
+0.00683375
+0.00529831
+0.00397231
+0.00289491
+0.00202247
+0.00184648
+0.00267917
+0.003832
+0.00495333
+0.0061614
+0.00761457
+0.00912253
+0.0106938
+0.0123526
+0.0140635
+0.0158613
+0.0176427
+0.0194216
+0.021228
+0.0230917
+0.0249832
+0.0268909
+0.0288389
+0.0308178
+0.032815
+0.0348005
+0.036759
+0.0383437
+0.039616
+0.0409042
+0.0422544
+0.0436711
+0.0446372
+0.0449594
+0.0453851
+0.0459116
+0.0465353
+0.0472454
+0.0480411
+0.048922
+0.0498837
+0.0509167
+0.0520084
+0.0531679
+0.0541746
+0.0547377
+0.0553817
+0.056104
+0.0569015
+0.057771
+0.0579781
+0.0566999
+0.0554787
+0.0543184
+0.0532231
+0.0521968
+0.0512436
+0.0503677
+0.049569
+0.0488409
+0.0481718
+0.0475852
+0.0470933
+0.046699
+0.0464049
+0.0462081
+0.0460993
+0.0460945
+0.0461937
+0.0463962
+0.0466884
+0.04708
+0.0475694
+0.0481535
+0.0488076
+0.0495086
+0.0489465
+0.0483831
+0.0479133
+0.0475399
+0.0466869
+0.0448094
+0.042904
+0.0408534
+0.0388181
+0.0368006
+0.0348041
+0.0328324
+0.0308417
+0.0287916
+0.0267637
+0.0247636
+0.0227985
+0.0208782
+0.0189846
+0.01709
+0.0152045
+0.0133907
+0.0115885
+0.00985657
+0.00828955
+0.00687746
+0.00565187
+0.00467437
+0.00388342
+0.00363367
+0.00414439
+0.00521057
+0.00620982
+0.00731426
+0.00851547
+0.00987181
+0.0113393
+0.0129252
+0.014557
+0.0161832
+0.0178994
+0.0196906
+0.0215232
+0.0233581
+0.0252428
+0.0271609
+0.0291
+0.0310621
+0.0330085
+0.0344119
+0.0355283
+0.036735
+0.0380297
+0.0393625
+0.0407638
+0.0422263
+0.0437479
+0.0450243
+0.0454495
+0.0459712
+0.046583
+0.0472885
+0.0480835
+0.0489636
+0.0499245
+0.0509558
+0.0520466
+0.0532054
+0.0544276
+0.0552633
+0.0559013
+0.0565569
+0.0572833
+0.0580832
+0.0582069
+0.0569338
+0.0557177
+0.0545626
+0.0534722
+0.0524508
+0.0515023
+0.0506309
+0.0498406
+0.0491196
+0.0484646
+0.0479009
+0.0474138
+0.0470222
+0.0467302
+0.0465395
+0.0464515
+0.0464668
+0.0465701
+0.0467711
+0.0470709
+0.0474594
+0.0479449
+0.0485245
+0.0491949
+0.0498561
+0.0492105
+0.048655
+0.0481897
+0.0478185
+0.0475454
+0.0457235
+0.0436954
+0.0416837
+0.039691
+0.0377203
+0.0357105
+0.0336717
+0.0316532
+0.0296592
+0.027695
+0.0257672
+0.0238524
+0.0219436
+0.0200624
+0.0181834
+0.0163386
+0.0145257
+0.0128169
+0.0112096
+0.00975901
+0.00851357
+0.00741318
+0.00655238
+0.00584205
+0.00554756
+0.005818
+0.00662318
+0.00760037
+0.0084211
+0.00955069
+0.0108985
+0.0122343
+0.0136777
+0.0151636
+0.0167219
+0.0183849
+0.0201329
+0.0219605
+0.0237998
+0.0256481
+0.0275445
+0.029476
+0.0306722
+0.0316392
+0.0327245
+0.0338923
+0.0351551
+0.0364996
+0.0378801
+0.0393342
+0.0408479
+0.042419
+0.044043
+0.0456061
+0.0461187
+0.0467286
+0.0474319
+0.0482245
+0.0491021
+0.0500603
+0.0510889
+0.052177
+0.0533329
+0.0545523
+0.0557426
+0.0562972
+0.0569101
+0.0575998
+0.0583636
+0.0585132
+0.0572492
+0.0560413
+0.0548931
+0.0538094
+0.0527945
+0.0518523
+0.0509869
+0.0502022
+0.0494867
+0.0488366
+0.0482773
+0.0478118
+0.0474431
+0.0471551
+0.0469662
+0.046879
+0.0468941
+0.0470113
+0.04723
+0.047541
+0.0479359
+0.0484166
+0.0489907
+0.0496548
+0.0501992
+0.049558
+0.0490047
+0.0485409
+0.0481723
+0.0479012
+0.0465701
+0.0445805
+0.0426106
+0.0405864
+0.0385565
+0.0365452
+0.0345557
+0.032592
+0.0306591
+0.0287306
+0.0268111
+0.0249094
+0.0230092
+0.0211555
+0.0192979
+0.0175174
+0.0158131
+0.0142029
+0.0126888
+0.0113466
+0.0101813
+0.00913947
+0.00840242
+0.00772187
+0.00743855
+0.00761904
+0.00818956
+0.00898385
+0.00975584
+0.0107933
+0.012022
+0.0133197
+0.0146459
+0.016026
+0.0175076
+0.0191061
+0.0207936
+0.0225678
+0.0243972
+0.0262027
+0.0273016
+0.0280435
+0.0289327
+0.0299559
+0.0310984
+0.032322
+0.0336439
+0.0350329
+0.036469
+0.0379771
+0.0395428
+0.0411638
+0.0428354
+0.044552
+0.0463087
+0.046976
+0.0476756
+0.0484642
+0.0493376
+0.0502913
+0.0513153
+0.0523986
+0.0535497
+0.0547643
+0.0560382
+0.0566036
+0.0571807
+0.0578351
+0.0585642
+0.0588873
+0.0576316
+0.056433
+0.0552952
+0.0542221
+0.0532166
+0.052282
+0.0514239
+0.0506459
+0.0499473
+0.0493033
+0.0487493
+0.0482884
+0.0479233
+0.0476562
+0.0474855
+0.0473993
+0.0474142
+0.0475302
+0.0477465
+0.0480587
+0.0484519
+0.0489402
+0.0495206
+0.0501899
+0.0506348
+0.0499967
+0.0494452
+0.0489855
+0.0486203
+0.0483517
+0.0475027
+0.0454671
+0.0434444
+0.0414387
+0.0394527
+0.0374895
+0.0355529
+0.0336147
+0.0316881
+0.0297733
+0.0278603
+0.0259911
+0.0241208
+0.0222949
+0.0205131
+0.0187783
+0.0171294
+0.0155999
+0.0142159
+0.0130044
+0.0118539
+0.0109576
+0.010166
+0.00961106
+0.00934561
+0.0094508
+0.00991662
+0.010515
+0.0112366
+0.0122235
+0.0131413
+0.0143188
+0.0156375
+0.0170672
+0.0185206
+0.0200384
+0.0216534
+0.0233623
+0.0244534
+0.0248964
+0.0255205
+0.0263127
+0.0272583
+0.0283421
+0.0295377
+0.0308234
+0.0322068
+0.0336451
+0.0351379
+0.0367008
+0.0383187
+0.0399893
+0.041708
+0.0434692
+0.0452549
+0.0470549
+0.0479947
+0.0487781
+0.049646
+0.0505939
+0.0516174
+0.0527052
+0.0538497
+0.0550577
+0.056325
+0.0568924
+0.0573376
+0.0578139
+0.0583685
+0.05934
+0.058094
+0.0569052
+0.0557756
+0.0547094
+0.0537115
+0.0527857
+0.0519358
+0.0511657
+0.050479
+0.0498585
+0.0493107
+0.0488551
+0.0484943
+0.0482304
+0.048065
+0.0479991
+0.0480139
+0.0481285
+0.0483421
+0.0486536
+0.0490579
+0.0495402
+0.0501136
+0.0507752
+0.0511342
+0.0505002
+0.0499543
+0.0494995
+0.0491381
+0.0488724
+0.0483344
+0.0463333
+0.04435
+0.0423872
+0.0404478
+0.0385024
+0.0365709
+0.034647
+0.0327256
+0.0308401
+0.028969
+0.0270678
+0.0252133
+0.0234169
+0.0216932
+0.0200596
+0.018513
+0.0170937
+0.0158069
+0.0146097
+0.0135655
+0.0127197
+0.0120414
+0.011541
+0.0113156
+0.0113948
+0.0117566
+0.0121904
+0.012879
+0.0136264
+0.0144366
+0.0154966
+0.0167194
+0.0180107
+0.019408
+0.0209308
+0.0222798
+0.0223812
+0.0226602
+0.0231376
+0.0238078
+0.0246551
+0.0256619
+0.0268059
+0.0280493
+0.0294
+0.0308474
+0.0323462
+0.0338962
+0.0355138
+0.0371834
+0.0389028
+0.0406674
+0.0424501
+0.0442557
+0.0460948
+0.0479634
+0.0491729
+0.0500339
+0.0509746
+0.0519906
+0.0530776
+0.0542247
+0.0554245
+0.0564279
+0.0567429
+0.0571402
+0.0576181
+0.0581622
+0.0598695
+0.0586329
+0.0574528
+0.0563332
+0.0552779
+0.0542904
+0.0533746
+0.0525343
+0.0517731
+0.0510867
+0.0504756
+0.0499466
+0.0494969
+0.0491408
+0.0488804
+0.0487172
+0.0486521
+0.0486857
+0.0488133
+0.0490239
+0.0493309
+0.0497327
+0.0502268
+0.0507943
+0.0514471
+0.0517118
+0.051085
+0.0505454
+0.0500959
+0.0497389
+0.0494764
+0.0492476
+0.0472851
+0.0453435
+0.0433926
+0.0414574
+0.0395249
+0.0375995
+0.0357025
+0.0337717
+0.0318556
+0.0299771
+0.0281437
+0.026365
+0.0246527
+0.0230167
+0.0214595
+0.0200213
+0.0186934
+0.0174522
+0.0162646
+0.0152988
+0.0145377
+0.0140056
+0.0135453
+0.0133538
+0.013356
+0.0136071
+0.0139897
+0.0145184
+0.015145
+0.0158783
+0.0168305
+0.0179629
+0.0191594
+0.0204608
+0.0204441
+0.0205022
+0.020632
+0.0209427
+0.0214584
+0.0221794
+0.0230865
+0.0241585
+0.0253464
+0.0266579
+0.0280707
+0.0295441
+0.03109
+0.0327096
+0.0343926
+0.0361301
+0.0379118
+0.039689
+0.0414991
+0.0433444
+0.0452205
+0.0471238
+0.049051
+0.0505139
+0.0514458
+0.0524527
+0.0535303
+0.0546745
+0.0558748
+0.0563113
+0.056627
+0.0570251
+0.0574926
+0.0580344
+0.0600221
+0.0592447
+0.058077
+0.0569697
+0.0559263
+0.0549505
+0.0540459
+0.0532162
+0.052463
+0.0517755
+0.0511727
+0.0506575
+0.0502261
+0.0498752
+0.0496186
+0.0494578
+0.0493938
+0.0494269
+0.0495569
+0.0497795
+0.0500819
+0.0504777
+0.0509647
+0.0515402
+0.0522014
+0.0523667
+0.051751
+0.0512184
+0.0507749
+0.0504227
+0.0501638
+0.0499996
+0.0482845
+0.0463396
+0.0443992
+0.042479
+0.0405508
+0.0385983
+0.0366726
+0.0347783
+0.0329208
+0.0311067
+0.029344
+0.0276426
+0.0260062
+0.0244432
+0.0229828
+0.0215685
+0.0202627
+0.0190446
+0.0179927
+0.017101
+0.0164207
+0.0158697
+0.0154684
+0.0153011
+0.0153099
+0.015393
+0.0156252
+0.0161191
+0.0167452
+0.0174446
+0.0183184
+0.0193591
+0.0190921
+0.0186898
+0.0184957
+0.01856
+0.0188799
+0.0193061
+0.0198769
+0.0206532
+0.0216244
+0.0227428
+0.0239966
+0.0253373
+0.0267904
+0.0283305
+0.0299391
+0.0316178
+0.0333559
+0.0351447
+0.0369767
+0.0387941
+0.0406441
+0.0425265
+0.0444371
+0.0463726
+0.0483275
+0.0501831
+0.0518064
+0.0530014
+0.0540681
+0.0552012
+0.0560327
+0.0562647
+0.0565806
+0.056979
+0.0574469
+0.0579891
+0.0602434
+0.0598265
+0.0587731
+0.0576792
+0.0566489
+0.0556857
+0.0547933
+0.053975
+0.0532243
+0.0525468
+0.0519529
+0.0514455
+0.0510272
+0.0506937
+0.0504413
+0.0502831
+0.0502201
+0.0502527
+0.0503805
+0.050603
+0.0509161
+0.0513056
+0.0517847
+0.0523512
+0.0530023
+0.0530944
+0.0524872
+0.0519622
+0.0515251
+0.051178
+0.050923
+0.0507612
+0.0490617
+0.0473496
+0.0453901
+0.0434409
+0.0415087
+0.0396033
+0.037729
+0.0358905
+0.0340936
+0.0323454
+0.030654
+0.0290185
+0.0274522
+0.0259432
+0.0244942
+0.0231288
+0.0218641
+0.0207144
+0.0197215
+0.0188866
+0.0182729
+0.0177895
+0.0174257
+0.0172072
+0.0171002
+0.017151
+0.0173341
+0.0177639
+0.0183493
+0.0190947
+0.0187681
+0.0178862
+0.0172386
+0.0168021
+0.0166078
+0.0166793
+0.0170347
+0.0176261
+0.0183898
+0.0192262
+0.020266
+0.0214161
+0.0226979
+0.024111
+0.0256336
+0.0272393
+0.0289087
+0.0306439
+0.0324342
+0.0342711
+0.0361287
+0.0379822
+0.0398695
+0.041781
+0.0437177
+0.0456773
+0.0473532
+0.0489724
+0.0506346
+0.0523357
+0.054072
+0.0557954
+0.0560715
+0.0563033
+0.056619
+0.0570171
+0.0574847
+0.0580265
+0.0605433
+0.0601285
+0.0595343
+0.0584546
+0.0574382
+0.0564885
+0.055609
+0.0548029
+0.0540636
+0.0533968
+0.0528124
+0.0523134
+0.0519021
+0.0515806
+0.0513443
+0.0511889
+0.051127
+0.051159
+0.0512846
+0.0515031
+0.0518135
+0.0522119
+0.0526829
+0.0532399
+0.0538802
+0.0539014
+0.0533034
+0.0527865
+0.0523563
+0.0520148
+0.0517638
+0.0500589
+0.0483093
+0.0465873
+0.0449062
+0.0432708
+0.0416863
+0.0401588
+0.0386951
+0.0370989
+0.0353635
+0.0336812
+0.0320472
+0.0304777
+0.0289034
+0.0274118
+0.0260194
+0.0247117
+0.0234967
+0.0224304
+0.0215166
+0.0207499
+0.020151
+0.019585
+0.0192048
+0.0189827
+0.0188818
+0.0189402
+0.0191216
+0.0194987
+0.0195874
+0.0182757
+0.0171147
+0.0161523
+0.0154341
+0.014962
+0.0147736
+0.0148526
+0.0152486
+0.0158812
+0.0167781
+0.0178996
+0.0189909
+0.0201892
+0.0215442
+0.0230282
+0.0246172
+0.0262748
+0.028004
+0.0297939
+0.0316341
+0.0335004
+0.0353559
+0.0372478
+0.0391709
+0.0411201
+0.042997
+0.0445591
+0.0461723
+0.0478315
+0.0495319
+0.0512696
+0.0530409
+0.0548425
+0.0561956
+0.0564269
+0.0567419
+0.0571393
+0.0576058
+0.0581465
+0.0609204
+0.0605082
+0.060173
+0.0593009
+0.0582992
+0.0573638
+0.0564979
+0.0557047
+0.0549764
+0.0543208
+0.0537465
+0.0532562
+0.0528522
+0.0525365
+0.0523108
+0.0521625
+0.0521018
+0.0521331
+0.0522564
+0.0524709
+0.0527755
+0.0531688
+0.0536386
+0.0541858
+0.0548152
+0.0547841
+0.0541959
+0.0536876
+0.0532646
+0.052929
+0.0512243
+0.0494177
+0.0476422
+0.0458984
+0.0441911
+0.0425281
+0.0409149
+0.0393575
+0.0378629
+0.0364281
+0.0350694
+0.0337982
+0.0326248
+0.03156
+0.0303349
+0.0289172
+0.0275991
+0.0263366
+0.0252001
+0.0242088
+0.0233756
+0.0226328
+0.0219125
+0.0213931
+0.0210337
+0.0208374
+0.0207412
+0.0207371
+0.020881
+0.0197854
+0.0182263
+0.0168087
+0.0155626
+0.0144975
+0.0137025
+0.0131954
+0.0129897
+0.0131007
+0.0135456
+0.014254
+0.0152469
+0.0164729
+0.0178449
+0.0191152
+0.0205411
+0.0220923
+0.0237237
+0.0254376
+0.02722
+0.0290583
+0.0309425
+0.032812
+0.0347044
+0.03663
+0.0385839
+0.0402582
+0.0418079
+0.0434128
+0.045067
+0.0467654
+0.0485033
+0.0502765
+0.0520816
+0.0539152
+0.0557716
+0.0565833
+0.0568975
+0.0572937
+0.0577704
+0.0583254
+0.061351
+0.0609417
+0.0606089
+0.060215
+0.0592288
+0.0583083
+0.0574566
+0.0566768
+0.0559571
+0.0553131
+0.0547492
+0.054268
+0.0538716
+0.053562
+0.0533406
+0.0531994
+0.0531399
+0.0531706
+0.0532915
+0.0535018
+0.0538006
+0.0541864
+0.0546574
+0.0552016
+0.0558195
+0.055739
+0.055161
+0.0546617
+0.0542463
+0.0525317
+0.050676
+0.048848
+0.0470511
+0.0452888
+0.0435654
+0.0418856
+0.0402481
+0.0386551
+0.0371198
+0.035653
+0.0342637
+0.0329614
+0.0317571
+0.0306621
+0.0296887
+0.0288284
+0.0281026
+0.0275324
+0.0269738
+0.0260502
+0.0252512
+0.0244118
+0.0237455
+0.0232671
+0.0228663
+0.0226313
+0.0225119
+0.0222521
+0.0204234
+0.0186623
+0.0170005
+0.0154709
+0.0141163
+0.0129593
+0.0120823
+0.0115261
+0.0112904
+0.0114434
+0.0119527
+0.0127722
+0.0138806
+0.0152167
+0.016696
+0.0182125
+0.0197038
+0.021316
+0.0230025
+0.0247664
+0.0265939
+0.0284726
+0.0303713
+0.032258
+0.0341811
+0.0361099
+0.0375753
+0.0391085
+0.0407019
+0.0423488
+0.044043
+0.0457794
+0.0475533
+0.0493607
+0.051198
+0.0530622
+0.0549475
+0.056761
+0.0570742
+0.0574692
+0.0579444
+0.0584978
+0.0618204
+0.0614426
+0.0611125
+0.0608595
+0.0602238
+0.0593187
+0.0584817
+0.0577135
+0.0570052
+0.0563732
+0.05582
+0.0553481
+0.0549595
+0.054656
+0.054439
+0.0543049
+0.0542466
+0.0542767
+0.0543951
+0.0546012
+0.0548941
+0.0552722
+0.055734
+0.0562773
+0.0568905
+0.0567202
+0.0561576
+0.0556755
+0.0539845
+0.0520884
+0.0502163
+0.048371
+0.0465556
+0.0447739
+0.0430272
+0.0413162
+0.0396504
+0.0380291
+0.0364675
+0.0349734
+0.0335559
+0.0322251
+0.0309921
+0.0298692
+0.028869
+0.0279797
+0.0272312
+0.0266424
+0.0262239
+0.025984
+0.0259276
+0.0260419
+0.025632
+0.0250786
+0.0247007
+0.0244047
+0.023385
+0.0214485
+0.0195561
+0.0177082
+0.0159473
+0.0143056
+0.0128289
+0.0115651
+0.0105898
+0.00996249
+0.00972883
+0.00994069
+0.0105272
+0.0114719
+0.0126961
+0.0141435
+0.0157297
+0.0174449
+0.0190826
+0.0207431
+0.0224712
+0.0242638
+0.0261172
+0.0280193
+0.0299326
+0.0318454
+0.0335246
+0.0349611
+0.0364726
+0.0380503
+0.0396862
+0.0413735
+0.0431061
+0.0448787
+0.0466869
+0.0485266
+0.0503943
+0.0522872
+0.0541994
+0.0561297
+0.0573341
+0.0577273
+0.0582004
+0.0587514
+0.0623614
+0.0619887
+0.0616899
+0.0614392
+0.061266
+0.0603917
+0.0595698
+0.058812
+0.058117
+0.0574972
+0.0569549
+0.0564925
+0.0561118
+0.0558146
+0.0556022
+0.055475
+0.0554179
+0.0554474
+0.0555633
+0.0557651
+0.0560518
+0.0564222
+0.0568746
+0.0574072
+0.0580149
+0.0577451
+0.0571925
+0.0555722
+0.0536428
+0.0517342
+0.0498488
+0.0479893
+0.046154
+0.044347
+0.0425761
+0.040846
+0.0391601
+0.0375177
+0.0359339
+0.0344166
+0.0329752
+0.0316199
+0.0303624
+0.0292152
+0.0281876
+0.0272808
+0.0265127
+0.0259075
+0.0254769
+0.0252299
+0.0251718
+0.0252892
+0.0255919
+0.0260758
+0.0263216
+0.024815
+0.0227896
+0.020797
+0.018847
+0.016942
+0.0150997
+0.013361
+0.0117664
+0.0103913
+0.00928297
+0.00856619
+0.00834164
+0.0085914
+0.00932564
+0.0103928
+0.0117569
+0.0133084
+0.0150079
+0.0168056
+0.018666
+0.0203573
+0.0221043
+0.0239244
+0.0257999
+0.0277001
+0.0296368
+0.0310318
+0.0324322
+0.033915
+0.0354711
+0.0370914
+0.0387678
+0.0404934
+0.0422621
+0.0440687
+0.0459087
+0.0477784
+0.0496743
+0.0515936
+0.0535305
+0.0554842
+0.0574549
+0.058067
+0.0585374
+0.0590853
+0.062974
+0.062605
+0.0623109
+0.0620909
+0.0619195
+0.061524
+0.0607174
+0.0599703
+0.0592889
+0.0586815
+0.0581503
+0.0576974
+0.0573248
+0.0570339
+0.056826
+0.056702
+0.0566497
+0.0566785
+0.0567919
+0.0569894
+0.05727
+0.0576326
+0.0580756
+0.0585972
+0.0591927
+0.0588337
+0.0572835
+0.0553271
+0.0533888
+0.0514702
+0.0495682
+0.0476894
+0.0458383
+0.0440184
+0.0422337
+0.0404874
+0.0387775
+0.0371182
+0.0355165
+0.0339807
+0.0325199
+0.0311449
+0.0298603
+0.0286852
+0.0276342
+0.0267217
+0.0259594
+0.0253413
+0.0249009
+0.0246481
+0.0245886
+0.0247085
+0.0250182
+0.0255129
+0.0261821
+0.0244248
+0.0223546
+0.0203089
+0.0182969
+0.0163309
+0.0144285
+0.0126021
+0.0109077
+0.00940983
+0.00822637
+0.0074152
+0.00717304
+0.00750539
+0.0083661
+0.00960885
+0.0110921
+0.0127315
+0.0145113
+0.0163673
+0.0182821
+0.0201906
+0.0219509
+0.0237689
+0.0256324
+0.0274027
+0.0286516
+0.0300087
+0.0314546
+0.0329813
+0.0345795
+0.0362397
+0.0379538
+0.0397147
+0.0415166
+0.0433543
+0.0452234
+0.0471203
+0.0490416
+0.0509847
+0.0529424
+0.0549121
+0.056898
+0.0584869
+0.0589539
+0.0594979
+0.0636561
+0.0632911
+0.0630002
+0.0627844
+0.0626427
+0.0625496
+0.0619176
+0.0611795
+0.0605117
+0.0599167
+0.0593965
+0.0589533
+0.0585886
+0.058304
+0.0581006
+0.0579794
+0.0579382
+0.0579664
+0.0580772
+0.0582703
+0.0585448
+0.0588995
+0.0593331
+0.0598437
+0.0604269
+0.0591079
+0.0571299
+0.0551662
+0.0532148
+0.0512825
+0.0493717
+0.0474852
+0.0456258
+0.0437927
+0.0419889
+0.0402236
+0.038502
+0.0368303
+0.0352155
+0.0336659
+0.0321909
+0.0308011
+0.0295016
+0.0283116
+0.0272462
+0.0263203
+0.0255492
+0.0249259
+0.0244763
+0.0242173
+0.0241549
+0.0242908
+0.0246216
+0.0251287
+0.0257918
+0.0241783
+0.0220843
+0.020011
+0.0179656
+0.0159588
+0.0140073
+0.0121376
+0.0103722
+0.00878135
+0.00749937
+0.0066294
+0.00636835
+0.00676792
+0.00775579
+0.00912362
+0.0107321
+0.0124722
+0.0142875
+0.0161693
+0.0181146
+0.0201105
+0.0219256
+0.0237526
+0.0252516
+0.0264206
+0.0277139
+0.0291147
+0.0306029
+0.0321701
+0.0338066
+0.035503
+0.0372509
+0.0390436
+0.0408751
+0.0427403
+0.0446352
+0.046556
+0.0484984
+0.0504514
+0.0524231
+0.0544116
+0.0564151
+0.0584321
+0.0594482
+0.0599878
+0.0644056
+0.0640448
+0.0637574
+0.0635442
+0.063406
+0.0633415
+0.0631599
+0.0624365
+0.0617823
+0.0611996
+0.0606905
+0.0602567
+0.0599
+0.0596216
+0.0594228
+0.0593043
+0.0592666
+0.0593041
+0.0594125
+0.0596012
+0.0598696
+0.0602165
+0.0606407
+0.0611404
+0.0610283
+0.0590274
+0.0570404
+0.0550688
+0.0531145
+0.0511793
+0.0492654
+0.0473747
+0.045502
+0.043659
+0.0418494
+0.040078
+0.0383498
+0.0366712
+0.0350491
+0.0334918
+0.0320087
+0.0306107
+0.0293027
+0.0281044
+0.0270307
+0.0260972
+0.0253193
+0.0246902
+0.0242362
+0.0239746
+0.0239116
+0.0240489
+0.0243829
+0.0248973
+0.0255641
+0.0241283
+0.0220295
+0.0199506
+0.0178983
+0.015883
+0.0139208
+0.0120378
+0.0102551
+0.00864275
+0.00733642
+0.00642731
+0.00616198
+0.00658617
+0.00759874
+0.0090083
+0.0106784
+0.0124731
+0.0143637
+0.0162605
+0.0182015
+0.0201888
+0.0220817
+0.0233146
+0.02438
+0.0255889
+0.0269221
+0.028362
+0.0298878
+0.0314905
+0.0331607
+0.0348884
+0.0366657
+0.0384856
+0.0403424
+0.0422313
+0.044148
+0.0460796
+0.048031
+0.0500023
+0.0519911
+0.0539955
+0.0560139
+0.0580448
+0.0600185
+0.060553
+0.0652201
+0.0648638
+0.06458
+0.0643695
+0.0642331
+0.0641712
+0.0641824
+0.063744
+0.0631034
+0.062533
+0.0620348
+0.0616105
+0.0612616
+0.0609895
+0.0607952
+0.0606793
+0.0606425
+0.0606847
+0.0607961
+0.0609806
+0.0612429
+0.0615821
+0.0619969
+0.0624858
+0.0610111
+0.0590096
+0.057022
+0.0550498
+0.0530947
+0.0511588
+0.0492441
+0.0473525
+0.045479
+0.0436349
+0.0418244
+0.0400518
+0.0383225
+0.0366426
+0.0350191
+0.0334604
+0.0319759
+0.0305764
+0.0292669
+0.028067
+0.0269919
+0.026057
+0.0252778
+0.0246477
+0.0241929
+0.0239308
+0.0238677
+0.0240052
+0.0243399
+0.0248551
+0.025523
+0.0242767
+0.022192
+0.0201298
+0.0180978
+0.0161075
+0.0141595
+0.0122811
+0.0105241
+0.00896032
+0.00770567
+0.00682905
+0.00657528
+0.00698619
+0.00799117
+0.00934444
+0.0109693
+0.0127574
+0.0146257
+0.0165358
+0.0184696
+0.0204551
+0.0216342
+0.0225812
+0.0236796
+0.0249225
+0.0262895
+0.0277561
+0.0293118
+0.0309444
+0.0326425
+0.0343963
+0.0361977
+0.03804
+0.0399176
+0.0418249
+0.0437467
+0.0456927
+0.0476599
+0.0496459
+0.0516484
+0.0536656
+0.055696
+0.057738
+0.0597905
+0.0611757
+0.0660971
+0.0657457
+0.0654657
+0.065258
+0.0651235
+0.0650625
+0.0650752
+0.065099
+0.0644719
+0.0639137
+0.0634263
+0.0630114
+0.0626703
+0.0624043
+0.0622144
+0.0621012
+0.0620652
+0.0621065
+0.0622247
+0.0624063
+0.0626627
+0.0629943
+0.0633998
+0.0624138
+0.0608916
+0.0590732
+0.0570877
+0.0551179
+0.0531653
+0.051232
+0.0493203
+0.0474317
+0.0455614
+0.0437208
+0.0419139
+0.0401453
+0.0384202
+0.0367448
+0.0351261
+0.0335724
+0.032093
+0.0306989
+0.0293948
+0.0282004
+0.0271305
+0.0262006
+0.0254258
+0.0247995
+0.0243475
+0.0240871
+0.0240244
+0.024161
+0.0244935
+0.0249996
+0.0256696
+0.0246199
+0.0225669
+0.020541
+0.0185349
+0.0165735
+0.014677
+0.0128743
+0.0112107
+0.00975761
+0.0086198
+0.007846
+0.00762212
+0.00798314
+0.00887595
+0.0101115
+0.0116297
+0.0133362
+0.0151676
+0.0170398
+0.0189413
+0.0202231
+0.0210265
+0.0220171
+0.0231622
+0.0244228
+0.025808
+0.027299
+0.0288793
+0.0305351
+0.0322547
+0.0340285
+0.0358484
+0.0377078
+0.0396011
+0.0415139
+0.0434493
+0.0454066
+0.0473833
+0.049378
+0.0513887
+0.0534135
+0.0554509
+0.0574996
+0.0595585
+0.0616264
+0.0670343
+0.0666878
+0.0664118
+0.0662071
+0.0660745
+0.0660144
+0.0660269
+0.066112
+0.0658848
+0.0653387
+0.064862
+0.0644563
+0.0641229
+0.063863
+0.0636774
+0.0635668
+0.0635317
+0.063572
+0.0636877
+0.0638754
+0.0641259
+0.06445
+0.0637161
+0.0621486
+0.0606198
+0.0591327
+0.0572373
+0.0552728
+0.0533259
+0.0513986
+0.0494933
+0.0476116
+0.0457486
+0.0439159
+0.0421174
+0.0403577
+0.0386421
+0.0369767
+0.0353687
+0.0338261
+0.0323583
+0.0309761
+0.0296842
+0.0285019
+0.0274354
+0.0265043
+0.0257264
+0.0251161
+0.0246778
+0.0244209
+0.0243591
+0.0244938
+0.0248103
+0.0253027
+0.0259711
+0.0251444
+0.0231211
+0.0211311
+0.019185
+0.0172974
+0.0154899
+0.0137939
+0.0122557
+0.0109423
+0.00994098
+0.00927802
+0.00908611
+0.00939429
+0.0101639
+0.011259
+0.0126401
+0.0142259
+0.0159555
+0.0177871
+0.019118
+0.0197686
+0.0205941
+0.0216044
+0.0227813
+0.0241
+0.0255046
+0.0270123
+0.0286085
+0.0302773
+0.0320059
+0.033788
+0.0356158
+0.0374826
+0.0393781
+0.0412985
+0.0432409
+0.0452061
+0.0471911
+0.0491936
+0.0512115
+0.0532391
+0.0552783
+0.0573288
+0.0593892
+0.0614587
+0.0680292
+0.0676878
+0.0674158
+0.0672142
+0.0670836
+0.0670244
+0.0670367
+0.0671206
+0.0672757
+0.0668051
+0.0663389
+0.0659423
+0.0656165
+0.0653625
+0.0651812
+0.0650732
+0.0650388
+0.0650782
+0.0651912
+0.0653775
+0.0656297
+0.0651399
+0.063532
+0.0619599
+0.0604263
+0.0589343
+0.0573982
+0.0555138
+0.0535757
+0.0516577
+0.0497623
+0.0478882
+0.0460365
+0.0442157
+0.0424299
+0.0406838
+0.0389825
+0.0373323
+0.0357402
+0.0342144
+0.0327641
+0.0313977
+0.030113
+0.0289373
+0.0278845
+0.0269688
+0.0262047
+0.0256058
+0.0251761
+0.0249243
+0.0248637
+0.0249958
+0.0253059
+0.0257889
+0.026445
+0.0258041
+0.0238368
+0.021912
+0.0200418
+0.0182431
+0.0165393
+0.0149627
+0.0135578
+0.0123832
+0.0114929
+0.0109067
+0.0107435
+0.0110222
+0.0116989
+0.0126599
+0.0139025
+0.0153585
+0.0169732
+0.0184078
+0.0188788
+0.0195505
+0.0203863
+0.0214065
+0.0225936
+0.023902
+0.0253158
+0.0268341
+0.0284312
+0.0300975
+0.0318269
+0.0336101
+0.035439
+0.0373069
+0.0392083
+0.0411385
+0.0430935
+0.0450703
+0.047066
+0.0490745
+0.0510921
+0.0531235
+0.055167
+0.0572215
+0.0592856
+0.0613586
+0.0690792
+0.068743
+0.0684753
+0.0682768
+0.0681482
+0.0680899
+0.068102
+0.0681846
+0.0683373
+0.0683103
+0.0678545
+0.0674668
+0.0671484
+0.0669002
+0.0667231
+0.0666175
+0.066584
+0.0666224
+0.0667329
+0.0669148
+0.0666689
+0.0650337
+0.0634231
+0.0618482
+0.0603118
+0.0588168
+0.05731
+0.0557332
+0.0539133
+0.0520036
+0.0501124
+0.0482465
+0.046409
+0.0446035
+0.0428338
+0.0411048
+0.0394217
+0.0377907
+0.0362188
+0.034714
+0.0332855
+0.0319414
+0.0306795
+0.0295264
+0.0284953
+0.0275999
+0.0268538
+0.0262697
+0.025851
+0.0256059
+0.0255469
+0.0256754
+0.0259775
+0.0264481
+0.0270883
+0.0266225
+0.0247204
+0.0228701
+0.021085
+0.0193834
+0.0177891
+0.0163336
+0.0150571
+0.0140088
+0.0131929
+0.0126855
+0.0125455
+0.0127849
+0.0133835
+0.0142523
+0.0153667
+0.0166955
+0.0180917
+0.0183345
+0.0188073
+0.019485
+0.0203609
+0.0213633
+0.0225117
+0.0238067
+0.0252258
+0.0267493
+0.0283517
+0.0300219
+0.0317553
+0.0335424
+0.0353748
+0.037246
+0.0391503
+0.0410831
+0.0430407
+0.0450198
+0.0470176
+0.049032
+0.0510608
+0.0530981
+0.0551426
+0.0571979
+0.0592629
+0.0613366
+0.070182
+0.0698511
+0.0695876
+0.0693923
+0.0692658
+0.0692084
+0.0692203
+0.0693016
+0.0694518
+0.0696551
+0.069406
+0.069027
+0.0687158
+0.0684733
+0.0683003
+0.0681972
+0.0681644
+0.068202
+0.0683098
+0.0682819
+0.0666344
+0.0650012
+0.0633898
+0.061814
+0.0602767
+0.0587809
+0.0573055
+0.0557286
+0.0541893
+0.0524253
+0.0505498
+0.0487007
+0.0468811
+0.0450944
+0.0433448
+0.0416371
+0.0399764
+0.0383689
+0.0368217
+0.0353426
+0.0339405
+0.0326235
+0.031389
+0.0302629
+0.0292578
+0.0283865
+0.0276616
+0.0270949
+0.0266892
+0.0264518
+0.0263947
+0.0265191
+0.0268117
+0.0272679
+0.0278893
+0.0275909
+0.0257604
+0.0239904
+0.0222953
+0.0206934
+0.0192082
+0.0178686
+0.0167098
+0.015759
+0.0150205
+0.0145769
+0.0144552
+0.0146635
+0.0151882
+0.0159869
+0.0169879
+0.0181987
+0.0182307
+0.018498
+0.01899
+0.0196614
+0.0205099
+0.0214812
+0.0226236
+0.0239126
+0.0253257
+0.0268435
+0.0284407
+0.0301059
+0.0318348
+0.0336176
+0.0354461
+0.0373137
+0.0392147
+0.0411446
+0.0430994
+0.0450759
+0.0470713
+0.0490834
+0.0511102
+0.05315
+0.0552014
+0.0572582
+0.0593212
+0.0613929
+0.0713349
+0.0710094
+0.0707502
+0.0705582
+0.0704337
+0.0703773
+0.0703891
+0.0704689
+0.0706167
+0.0708166
+0.0709857
+0.0706152
+0.070311
+0.070074
+0.0699049
+0.0698042
+0.0697722
+0.0698089
+0.0699143
+0.0683076
+0.0666607
+0.0650424
+0.0634321
+0.0618575
+0.0603213
+0.0588265
+0.0573765
+0.05581
+0.054273
+0.0527781
+0.0510776
+0.0492483
+0.0474496
+0.0456852
+0.0439592
+0.0422762
+0.0406417
+0.0390616
+0.037543
+0.0360934
+0.0347217
+0.0334354
+0.032232
+0.0311365
+0.0301605
+0.029316
+0.0286147
+0.0280672
+0.0276708
+0.0274419
+0.0273869
+0.0275068
+0.0277939
+0.0282343
+0.0288349
+0.0286942
+0.0269388
+0.0252516
+0.023647
+0.0221431
+0.0207618
+0.0195291
+0.0184748
+0.0175928
+0.0169346
+0.0165423
+0.0164352
+0.0166187
+0.0170835
+0.0178075
+0.0187254
+0.0186213
+0.0186282
+0.0188898
+0.019353
+0.0200319
+0.020839
+0.0217956
+0.0229224
+0.0241954
+0.025593
+0.0270958
+0.0286873
+0.0303482
+0.0320641
+0.0338348
+0.0356522
+0.0375095
+0.0394011
+0.0413222
+0.043269
+0.0452381
+0.0472267
+0.0492324
+0.0512533
+0.0532877
+0.0553339
+0.0573909
+0.0594574
+0.0615272
+0.0725358
+0.0722156
+0.0719608
+0.071772
+0.0716497
+0.0715942
+0.0716057
+0.0716737
+0.0718061
+0.0720049
+0.0722696
+0.0722348
+0.0719375
+0.0717059
+0.0715407
+0.0714423
+0.071411
+0.0714469
+0.0700778
+0.0684035
+0.066759
+0.0651432
+0.063547
+0.0619783
+0.0604452
+0.0589536
+0.0575068
+0.0559771
+0.0544448
+0.0529548
+0.0515149
+0.0498862
+0.0481114
+0.0463721
+0.0446726
+0.0430176
+0.0414123
+0.0398628
+0.0383759
+0.036959
+0.0356206
+0.034368
+0.0331984
+0.0321359
+0.0311911
+0.0303753
+0.029699
+0.0291681
+0.0287848
+0.0285649
+0.028512
+0.0286272
+0.0289084
+0.0293327
+0.0299112
+0.0299175
+0.0282383
+0.0266334
+0.0251173
+0.0237069
+0.0224221
+0.0212858
+0.0203125
+0.0195005
+0.0189087
+0.0185582
+0.0184628
+0.0186264
+0.0190422
+0.0196943
+0.0193648
+0.0191695
+0.0192236
+0.0194296
+0.0198764
+0.020538
+0.0213272
+0.0223034
+0.0234057
+0.0246538
+0.0260267
+0.0275058
+0.0290749
+0.0307167
+0.0324184
+0.0341758
+0.0359808
+0.0378266
+0.0397074
+0.0416146
+0.0435483
+0.0455053
+0.0474827
+0.0494781
+0.0514894
+0.0535147
+0.0555526
+0.0576017
+0.0596609
+0.0617292
+0.0737821
+0.0734674
+0.073217
+0.0730314
+0.0729112
+0.0728485
+0.0728471
+0.0729116
+0.0730417
+0.0732371
+0.0734974
+0.0738218
+0.0735933
+0.073367
+0.0732055
+0.0731093
+0.0730787
+0.071938
+0.0702396
+0.0685692
+0.0669288
+0.0653172
+0.0637254
+0.0621629
+0.0606342
+0.0591471
+0.0577049
+0.0562291
+0.0547039
+0.0532211
+0.0517886
+0.0504107
+0.0488624
+0.0471509
+0.0454805
+0.043856
+0.0422825
+0.0407661
+0.0393133
+0.0379315
+0.0366287
+0.0354117
+0.0342778
+0.0332497
+0.0323376
+0.0315514
+0.0309009
+0.0303854
+0.0300177
+0.0298068
+0.0297562
+0.0298666
+0.0301363
+0.030549
+0.0311049
+0.0312467
+0.0296428
+0.0281183
+0.0266866
+0.0253636
+0.0241671
+0.0231167
+0.0222026
+0.0214622
+0.020926
+0.0206099
+0.020524
+0.0206712
+0.0210467
+0.0205486
+0.0201277
+0.01994
+0.0199894
+0.0201876
+0.0206179
+0.0212589
+0.0220223
+0.02297
+0.0240793
+0.0252942
+0.0266342
+0.0280813
+0.0296199
+0.031233
+0.032908
+0.0346406
+0.0364226
+0.038247
+0.0401082
+0.0420011
+0.0439217
+0.0458666
+0.0478327
+0.0498175
+0.051817
+0.05383
+0.0558564
+0.0578948
+0.0599439
+0.0620027
+0.0750717
+0.0747624
+0.0745163
+0.0743282
+0.0741976
+0.0741315
+0.0741301
+0.0741934
+0.0743213
+0.0745134
+0.0747692
+0.0750881
+0.0752765
+0.0750552
+0.0748974
+0.0748034
+0.0738813
+0.0721622
+0.0704692
+0.0688044
+0.0671697
+0.065564
+0.0639783
+0.0624222
+0.0609
+0.0594196
+0.0579842
+0.0565537
+0.055049
+0.0535758
+0.052153
+0.0507849
+0.0494741
+0.048017
+0.0463779
+0.0447859
+0.0432463
+0.0417649
+0.0403481
+0.039003
+0.0377371
+0.0365571
+0.0354598
+0.034467
+0.0335879
+0.0328317
+0.0322052
+0.0317075
+0.0313553
+0.0311535
+0.031105
+0.0312107
+0.0314688
+0.0318696
+0.0324028
+0.0326688
+0.0311382
+0.0296906
+0.0283385
+0.0270963
+0.0259797
+0.0249968
+0.0241436
+0.0234646
+0.0229751
+0.0226875
+0.0226096
+0.0227433
+0.0220913
+0.0214936
+0.0210916
+0.0209125
+0.0209264
+0.0211159
+0.0215277
+0.0221495
+0.0229066
+0.0238191
+0.0248916
+0.0260943
+0.0274008
+0.0288095
+0.0303111
+0.0318918
+0.0335339
+0.0352358
+0.0369891
+0.0387869
+0.0406233
+0.0424933
+0.0443926
+0.0463177
+0.0482654
+0.0502332
+0.0522187
+0.05422
+0.0562354
+0.0582635
+0.060303
+0.0623521
+0.0763994
+0.0760949
+0.0758409
+0.0756495
+0.0755211
+0.0754562
+0.0754549
+0.0755171
+0.0756427
+0.0758315
+0.0760829
+0.0763963
+0.0767668
+0.0767688
+0.0766145
+0.0759013
+0.0741643
+0.0724519
+0.0707659
+0.0691082
+0.0674809
+0.0658828
+0.064305
+0.062757
+0.0612431
+0.0597712
+0.0583444
+0.0569556
+0.0554633
+0.0540096
+0.0525986
+0.0512424
+0.0499455
+0.0487068
+0.0473596
+0.0458018
+0.0442975
+0.0428525
+0.0414728
+0.0401654
+0.0389374
+0.0377948
+0.0367345
+0.0357771
+0.034931
+0.0342045
+0.0335986
+0.0331218
+0.0327848
+0.0325919
+0.0325456
+0.0326465
+0.0328934
+0.0332821
+0.0337931
+0.0341722
+0.0327121
+0.0313373
+0.0300593
+0.0288912
+0.0278465
+0.0269132
+0.0261226
+0.0254964
+0.0250467
+0.0247832
+0.0247118
+0.0239056
+0.0231737
+0.0226067
+0.0222248
+0.0220409
+0.0220421
+0.022222
+0.0226137
+0.0232064
+0.0239519
+0.024833
+0.0258634
+0.0270229
+0.0282883
+0.0296617
+0.0311247
+0.0326669
+0.0342797
+0.0359537
+0.0376746
+0.0394412
+0.0412485
+0.0430913
+0.0449654
+0.046867
+0.0487928
+0.0507401
+0.0527065
+0.05469
+0.0566887
+0.0587011
+0.0607259
+0.0627307
+0.07775
+0.0774481
+0.0771985
+0.0770105
+0.0768844
+0.0768206
+0.0768193
+0.0768804
+0.0770038
+0.0771892
+0.0774362
+0.0777441
+0.0781116
+0.0785062
+0.0779861
+0.0762368
+0.0745107
+0.0728064
+0.0711288
+0.0694798
+0.0678614
+0.0662725
+0.0647042
+0.0631661
+0.0616622
+0.0602006
+0.0587842
+0.057407
+0.0559589
+0.0545184
+0.0531209
+0.0517784
+0.0504952
+0.0492761
+0.0481233
+0.0468981
+0.0454301
+0.0440223
+0.0426805
+0.0414112
+0.0402212
+0.0391162
+0.0380927
+0.0371703
+0.0363566
+0.035659
+0.0350736
+0.0346171
+0.0342948
+0.0341104
+0.0340662
+0.0341626
+0.0343986
+0.0347713
+0.0352647
+0.0357468
+0.0343537
+0.0330472
+0.0318379
+0.0307372
+0.0297436
+0.0288682
+0.0281326
+0.0275521
+0.0271365
+0.0268935
+0.025964
+0.0251012
+0.0244016
+0.023848
+0.0234863
+0.0233072
+0.0233103
+0.0234809
+0.023852
+0.0244104
+0.0251151
+0.0259859
+0.026976
+0.028092
+0.0293113
+0.0306389
+0.0320613
+0.0335665
+0.0351381
+0.036773
+0.0384633
+0.040202
+0.0419788
+0.043791
+0.0456363
+0.047511
+0.0494117
+0.0513356
+0.05328
+0.0552429
+0.0572223
+0.0592166
+0.0612073
+0.0631252
+0.079138
+0.0788389
+0.0785937
+0.078409
+0.0782852
+0.0782226
+0.0782213
+0.0782813
+0.0784025
+0.0785846
+0.0788272
+0.0791297
+0.0794915
+0.0799028
+0.078365
+0.0766243
+0.0749073
+0.0732156
+0.0715509
+0.0699153
+0.0683075
+0.0667319
+0.0651746
+0.0636479
+0.0621557
+0.0607059
+0.0593017
+0.0579367
+0.0565281
+0.0551096
+0.0537275
+0.0524005
+0.051133
+0.0499295
+0.0487946
+0.0477157
+0.0466382
+0.0452679
+0.0439642
+0.042733
+0.0415809
+0.0405129
+0.0395257
+0.0386375
+0.0378554
+0.0371813
+0.0366203
+0.0361833
+0.0358751
+0.0356988
+0.0356566
+0.0357487
+0.0359743
+0.0363309
+0.0368079
+0.0373834
+0.0360536
+0.034811
+0.0336648
+0.0326128
+0.0316754
+0.0308549
+0.0301678
+0.0296272
+0.0292411
+0.028213
+0.0272456
+0.0264247
+0.0257431
+0.0252188
+0.024877
+0.0247031
+0.0247
+0.0248607
+0.0252114
+0.0257398
+0.026409
+0.0272385
+0.0281918
+0.029268
+0.0304578
+0.0317374
+0.0331127
+0.0345722
+0.0361056
+0.0376994
+0.0393499
+0.041051
+0.0427966
+0.0445816
+0.046401
+0.048246
+0.0501189
+0.0520165
+0.0539364
+0.0558763
+0.057834
+0.0598057
+0.0616894
+0.0635927
+0.0805617
+0.0802654
+0.0800246
+0.0798432
+0.0797216
+0.0796601
+0.0796588
+0.0797178
+0.0798368
+0.0800156
+0.0802539
+0.0805511
+0.0809065
+0.0805561
+0.078803
+0.0770722
+0.0753654
+0.0736842
+0.0720304
+0.0704059
+0.0688096
+0.0672465
+0.0657147
+0.0642009
+0.0627219
+0.0612855
+0.0598948
+0.0585436
+0.057166
+0.0557806
+0.0544155
+0.0531058
+0.0518555
+0.0506691
+0.0495513
+0.0484879
+0.0474638
+0.0465203
+0.0453174
+0.044124
+0.0430092
+0.0419776
+0.0410256
+0.0401706
+0.0394189
+0.0387677
+0.0382299
+0.0378116
+0.0375167
+0.0373482
+0.0373079
+0.037396
+0.0376117
+0.0379528
+0.0384141
+0.038981
+0.0378041
+0.0366204
+0.0355206
+0.0345231
+0.033639
+0.0328675
+0.032068
+0.0313534
+0.0305773
+0.0295552
+0.0286368
+0.0278546
+0.027195
+0.0266992
+0.0263766
+0.0262081
+0.0261984
+0.02635
+0.0266811
+0.027181
+0.0278156
+0.0286043
+0.0295202
+0.0305497
+0.0316973
+0.0329452
+0.034272
+0.0356841
+0.0371717
+0.0387216
+0.0403303
+0.0419917
+0.0436998
+0.0454493
+0.0472356
+0.0490547
+0.0509031
+0.0527777
+0.0546728
+0.0565874
+0.0585214
+0.0603785
+0.0622448
+0.0641317
+0.0820191
+0.0817257
+0.0814892
+0.0813111
+0.0811917
+0.0811313
+0.0811301
+0.0811879
+0.0813048
+0.0814805
+0.0817145
+0.0820063
+0.0823555
+0.0810415
+0.0792991
+0.0775794
+0.075884
+0.0742146
+0.0725728
+0.0709608
+0.0693773
+0.0678272
+0.0663133
+0.0648233
+0.0633588
+0.0619372
+0.0605615
+0.0592232
+0.0578798
+0.0565135
+0.0551821
+0.0538909
+0.0526593
+0.0514915
+0.0503918
+0.0493453
+0.0483394
+0.0474134
+0.0465721
+0.045578
+0.0444996
+0.0435034
+0.0425855
+0.0417624
+0.0410369
+0.0404107
+0.039895
+0.0394943
+0.0392121
+0.0390509
+0.0390123
+0.0390966
+0.039303
+0.0396296
+0.0400734
+0.0406194
+0.0395978
+0.0384581
+0.0373349
+0.036222
+0.0352028
+0.0342741
+0.0334633
+0.0327791
+0.0319655
+0.0309738
+0.0301001
+0.0293591
+0.0287406
+0.028272
+0.0279676
+0.0278043
+0.0277889
+0.0279318
+0.0282445
+0.0287171
+0.0293185
+0.0300678
+0.0309469
+0.0319303
+0.03303
+0.0342347
+0.0355288
+0.0368928
+0.0383335
+0.0398382
+0.0414036
+0.0430235
+0.0446922
+0.0464043
+0.0481552
+0.0499408
+0.0517576
+0.0536023
+0.0554722
+0.0573648
+0.0592009
+0.0610246
+0.0628718
+0.0647404
+0.0835072
+0.0832181
+0.0829859
+0.0828109
+0.0826937
+0.0826344
+0.0826332
+0.08269
+0.0828048
+0.0829772
+0.083207
+0.0834937
+0.0833351
+0.0815829
+0.0798523
+0.0781448
+0.0764619
+0.0748053
+0.0731767
+0.071575
+0.0700051
+0.0684693
+0.0669699
+0.0655094
+0.0640644
+0.0626588
+0.0612992
+0.0599616
+0.0586668
+0.0573192
+0.0560218
+0.0547504
+0.0535386
+0.0523903
+0.05131
+0.0502836
+0.0492968
+0.0483892
+0.0475651
+0.0467716
+0.0460405
+0.0450798
+0.044198
+0.0433978
+0.0426938
+0.0420922
+0.0415975
+0.0412133
+0.040943
+0.0407886
+0.0407516
+0.0408323
+0.04103
+0.0413429
+0.0417686
+0.0422564
+0.0410168
+0.0398363
+0.0386714
+0.0375981
+0.0366097
+0.0357176
+0.0349403
+0.0342856
+0.0334303
+0.0324783
+0.0316462
+0.0309423
+0.0303632
+0.02992
+0.0296325
+0.029477
+0.0294566
+0.0295914
+0.0298867
+0.0303338
+0.0309037
+0.0316154
+0.0324588
+0.0333978
+0.0344506
+0.0356073
+0.036858
+0.0381873
+0.0395825
+0.0410415
+0.0425626
+0.04414
+0.045768
+0.0474413
+0.0491553
+0.0509058
+0.0526893
+0.0545025
+0.0563425
+0.0581647
+0.0599399
+0.0617417
+0.0635681
+0.0654168
+0.0850247
+0.0847408
+0.0845128
+0.084341
+0.0842259
+0.0841677
+0.0841665
+0.0842223
+0.084335
+0.0845043
+0.08473
+0.0850115
+0.0839189
+0.0821791
+0.0804613
+0.078767
+0.077096
+0.0754501
+0.0738326
+0.0722453
+0.0706903
+0.0691697
+0.0676858
+0.0662411
+0.0648363
+0.0634478
+0.0620927
+0.06077
+0.0594985
+0.0581964
+0.056922
+0.0556775
+0.0544863
+0.0533585
+0.0522981
+0.0512984
+0.0503315
+0.0494429
+0.0486246
+0.0478427
+0.0471327
+0.046515
+0.0458413
+0.0450691
+0.0443916
+0.0438133
+0.0433382
+0.0429696
+0.0427104
+0.0425625
+0.042527
+0.0426043
+0.0427938
+0.043094
+0.0435025
+0.0435237
+0.0423105
+0.0411669
+0.0400831
+0.0390447
+0.0380907
+0.0372341
+0.0364892
+0.0358628
+0.0349664
+0.0340574
+0.0332648
+0.0325958
+0.0320467
+0.031627
+0.0313552
+0.0312139
+0.031189
+0.0313164
+0.0315955
+0.0320188
+0.0325592
+0.0332355
+0.0340392
+0.0349357
+0.0359435
+0.0370536
+0.0382571
+0.039539
+0.0408903
+0.0423119
+0.0437971
+0.0453341
+0.0469206
+0.0485542
+0.0502302
+0.0519446
+0.0536936
+0.055474
+0.0572774
+0.058998
+0.0607489
+0.0625274
+0.0643315
+0.0661588
+0.0865711
+0.0862923
+0.0860684
+0.0858997
+0.0857867
+0.0857296
+0.0857284
+0.0857832
+0.0858938
+0.0860601
+0.0862816
+0.0863029
+0.0845554
+0.0828286
+0.0811216
+0.0794384
+0.0777804
+0.0761494
+0.074547
+0.0729752
+0.0714361
+0.0699317
+0.0684643
+0.0670365
+0.0656507
+0.0642892
+0.0629498
+0.0616456
+0.0603926
+0.0591417
+0.0578881
+0.0566742
+0.0555043
+0.0543976
+0.0533579
+0.0523793
+0.0514387
+0.0505624
+0.0497543
+0.0489874
+0.0482941
+0.0476915
+0.047183
+0.0467561
+0.046131
+0.0455748
+0.0451182
+0.0447643
+0.0445155
+0.0443736
+0.0443396
+0.0444137
+0.0445955
+0.0448836
+0.045276
+0.0448532
+0.0436663
+0.0425592
+0.041515
+0.0405248
+0.0396249
+0.0388151
+0.0381011
+0.037455
+0.0365693
+0.0357011
+0.0349458
+0.0343096
+0.0337883
+0.0333906
+0.0331332
+0.0329982
+0.0329735
+0.033094
+0.0333583
+0.0337566
+0.0342696
+0.0349128
+0.0356791
+0.0365399
+0.0375047
+0.0385699
+0.0397274
+0.0409633
+0.0422691
+0.0436459
+0.0450871
+0.0465867
+0.0481361
+0.0497298
+0.0513675
+0.0530451
+0.0547589
+0.0565058
+0.058206
+0.0598999
+0.0616251
+0.0633791
+0.0651596
+0.0669644
+0.0881448
+0.087871
+0.0876511
+0.0874855
+0.0873746
+0.0873185
+0.0873173
+0.0873711
+0.0874797
+0.0876429
+0.0878605
+0.086967
+0.0852362
+0.0835235
+0.081831
+0.0801627
+0.07852
+0.0769046
+0.0753183
+0.073763
+0.0722407
+0.0707534
+0.0693034
+0.0678932
+0.0665252
+0.0651901
+0.0638703
+0.0625858
+0.061352
+0.0601519
+0.0589198
+0.0577368
+0.0565889
+0.0555038
+0.0544765
+0.0535176
+0.0526018
+0.0517425
+0.0509531
+0.0501947
+0.0495184
+0.0489308
+0.0484354
+0.0480208
+0.0476979
+0.047372
+0.0469329
+0.0465928
+0.0463538
+0.0462175
+0.0461849
+0.0462561
+0.0464307
+0.0467075
+0.0470847
+0.0462271
+0.0450762
+0.0440043
+0.0429856
+0.042029
+0.0411608
+0.0403928
+0.0396908
+0.0390548
+0.0382305
+0.0374009
+0.0366806
+0.036075
+0.0355796
+0.0352021
+0.0349579
+0.0348152
+0.0347917
+0.034906
+0.0351567
+0.0355403
+0.0360288
+0.0366411
+0.037372
+0.0382024
+0.0391262
+0.0401484
+0.0412617
+0.042453
+0.0437143
+0.0450469
+0.0464446
+0.0479018
+0.0494132
+0.0509724
+0.0525714
+0.0542117
+0.0558898
+0.0575637
+0.0591992
+0.0608673
+0.0625659
+0.0642942
+0.06605
+0.0678311
+0.0897444
+0.0894755
+0.0892595
+0.089097
+0.088988
+0.0889329
+0.0889318
+0.0889846
+0.0890912
+0.0892515
+0.0894174
+0.0876803
+0.0859638
+0.0842671
+0.0825898
+0.0809371
+0.0793104
+0.0777115
+0.0761421
+0.0746039
+0.073099
+0.0716296
+0.0701977
+0.0688058
+0.0674564
+0.0661512
+0.0648514
+0.0635875
+0.0623735
+0.0612139
+0.0600139
+0.0588605
+0.0577363
+0.0566655
+0.0556582
+0.05472
+0.0538246
+0.052987
+0.0522042
+0.0514611
+0.0508016
+0.0502291
+0.0497466
+0.0493384
+0.0490242
+0.0488064
+0.048673
+0.0484514
+0.0482216
+0.0480906
+0.0480593
+0.0481277
+0.0482955
+0.0485617
+0.0488443
+0.0476559
+0.0465403
+0.0455029
+0.0445144
+0.0435903
+0.0427538
+0.0419999
+0.0412977
+0.0406997
+0.0399428
+0.0391495
+0.038462
+0.0378849
+0.0374135
+0.0370547
+0.0368128
+0.0366731
+0.0366508
+0.0367593
+0.0369974
+0.0373626
+0.0378331
+0.0384167
+0.0391144
+0.0399159
+0.040801
+0.0417822
+0.042853
+0.0440013
+0.0452194
+0.0465089
+0.047864
+0.0492792
+0.0507496
+0.0522704
+0.0538373
+0.0554404
+0.0570774
+0.0586446
+0.0602507
+0.0618927
+0.0635678
+0.0652701
+0.0670003
+0.0687567
+0.0913685
+0.0911044
+0.0908923
+0.0907327
+0.0906257
+0.0905716
+0.0905705
+0.0906223
+0.090727
+0.0908845
+0.0901646
+0.0884421
+0.0867407
+0.0850594
+0.0833981
+0.0817618
+0.0801519
+0.07857
+0.0770181
+0.0754978
+0.0740111
+0.0725601
+0.071147
+0.069774
+0.0684437
+0.0671585
+0.0658906
+0.064648
+0.0634543
+0.0623148
+0.0611668
+0.0600338
+0.0589362
+0.0578854
+0.0568997
+0.0559823
+0.0551074
+0.0542914
+0.0535085
+0.0527838
+0.052141
+0.0515834
+0.0511136
+0.0507165
+0.0504109
+0.0501991
+0.0500822
+0.0500303
+0.0500543
+0.0499895
+0.0499594
+0.0500252
+0.0501867
+0.0504428
+0.050264
+0.0491164
+0.0480413
+0.0470438
+0.0460909
+0.0452038
+0.0443904
+0.0436318
+0.0429563
+0.0423817
+0.0417
+0.0409407
+0.0402837
+0.0397331
+0.0392839
+0.0389423
+0.0387005
+0.0385659
+0.0385447
+0.0386479
+0.0388744
+0.0392222
+0.0396763
+0.0402331
+0.0408999
+0.0416713
+0.0425222
+0.0434646
+0.044495
+0.0456023
+0.0467788
+0.0480264
+0.0493398
+0.0507139
+0.0521438
+0.0536251
+0.0551537
+0.0567256
+0.0582497
+0.0597862
+0.0613625
+0.0629755
+0.0646226
+0.0663011
+0.0680078
+0.0697389
+0.0930159
+0.0927565
+0.0925482
+0.0923914
+0.0922863
+0.0922332
+0.0922321
+0.092283
+0.0923858
+0.0925404
+0.0909583
+0.0892512
+0.0875655
+0.0859004
+0.0842557
+0.0826363
+0.0810438
+0.0794797
+0.0779458
+0.076444
+0.0749761
+0.0735441
+0.0721503
+0.0707968
+0.069486
+0.0682204
+0.066975
+0.0657506
+0.0645773
+0.063458
+0.0623635
+0.0612499
+0.0601848
+0.0591613
+0.0581972
+0.0573006
+0.0564462
+0.0556514
+0.0548693
+0.0541628
+0.0535366
+0.0529936
+0.0525365
+0.0521502
+0.051853
+0.0516472
+0.0515336
+0.0514959
+0.0515096
+0.0515853
+0.0516949
+0.0517047
+0.0518072
+0.0520019
+0.0517282
+0.0506138
+0.0495712
+0.0486051
+0.0477153
+0.0468618
+0.0460417
+0.0453106
+0.0446589
+0.0441065
+0.0434965
+0.0427691
+0.0421406
+0.0416146
+0.0411859
+0.0408516
+0.0406187
+0.0404888
+0.0404686
+0.0405669
+0.0407827
+0.0411144
+0.0415532
+0.0420852
+0.0427231
+0.0434621
+0.044277
+0.0451828
+0.0461748
+0.0472477
+0.0483871
+0.0495943
+0.0508672
+0.0522011
+0.0535913
+0.0550337
+0.0565242
+0.0580178
+0.0594797
+0.0609852
+0.0625313
+0.0641149
+0.0657334
+0.0673842
+0.0690651
+0.0707739
+0.0946853
+0.0944304
+0.0942258
+0.0940718
+0.0939687
+0.0939165
+0.0939154
+0.0939654
+0.0940664
+0.0935095
+0.0917975
+0.0901063
+0.0884369
+0.0867885
+0.0851609
+0.0835591
+0.0819845
+0.0804387
+0.0789235
+0.0774406
+0.075992
+0.0745795
+0.0732054
+0.0718718
+0.070581
+0.0693354
+0.0681104
+0.0669067
+0.0657541
+0.0646551
+0.0636104
+0.0625192
+0.0614761
+0.0604897
+0.059547
+0.0586711
+0.0578369
+0.057047
+0.0562825
+0.0555939
+0.0549841
+0.0544556
+0.0540108
+0.0536351
+0.0533462
+0.0531461
+0.0530357
+0.0529992
+0.0530155
+0.0530891
+0.0531751
+0.0531846
+0.0532843
+0.0534736
+0.0532423
+0.0521603
+0.0511493
+0.0502135
+0.0493573
+0.048528
+0.0477366
+0.0470255
+0.0463979
+0.0458664
+0.0453276
+0.0446301
+0.0440283
+0.043525
+0.0431153
+0.0427855
+0.0425632
+0.0424376
+0.0424184
+0.0425121
+0.0427182
+0.0430349
+0.0434591
+0.0439685
+0.0445794
+0.0452868
+0.0460687
+0.04694
+0.0478957
+0.0489308
+0.0500396
+0.0512078
+0.0524416
+0.0537364
+0.055088
+0.0564921
+0.0579443
+0.0593271
+0.0607575
+0.0622322
+0.063748
+0.0653021
+0.0668919
+0.0685148
+0.0701686
+0.0718511
+0.0963756
+0.0961252
+0.0959242
+0.0957729
+0.0956716
+0.0956204
+0.0956193
+0.0956684
+0.0957676
+0.0943769
+0.0926809
+0.0910061
+0.0893535
+0.0877224
+0.0861124
+0.0845286
+0.0829724
+0.0814454
+0.0799493
+0.0784858
+0.0770568
+0.0756642
+0.0743102
+0.0729967
+0.0717262
+0.0704935
+0.0692888
+0.0681137
+0.0669818
+0.0659034
+0.0648809
+0.0638384
+0.0628172
+0.0618567
+0.0609457
+0.0600902
+0.059276
+0.0584895
+0.0577441
+0.0570732
+0.0564793
+0.0559649
+0.0555322
+0.055167
+0.0548862
+0.0546918
+0.0545845
+0.054549
+0.0545678
+0.0546393
+0.054703
+0.0547122
+0.0548091
+0.0549932
+0.0548022
+0.0537516
+0.052771
+0.0518646
+0.0510358
+0.0502345
+0.0494704
+0.0487784
+0.0481737
+0.0476604
+0.0471705
+0.0465199
+0.0459428
+0.0454608
+0.0450613
+0.0447431
+0.0445305
+0.044409
+0.0443906
+0.0444802
+0.0446772
+0.0449801
+0.0453863
+0.0458755
+0.0464614
+0.0471419
+0.0478937
+0.0487323
+0.0496535
+0.0506527
+0.0517255
+0.052863
+0.054059
+0.055316
+0.0566298
+0.0579966
+0.0593339
+0.0606851
+0.0620842
+0.063528
+0.0650136
+0.0665382
+0.0680991
+0.0696939
+0.0713204
+0.0729764
+0.0980856
+0.0978396
+0.0976422
+0.0974936
+0.097394
+0.0973437
+0.0973426
+0.0973909
+0.0969867
+0.0952867
+0.0936073
+0.0919493
+0.090314
+0.0887005
+0.0871086
+0.0855433
+0.0840059
+0.082498
+0.0810213
+0.0795775
+0.0781685
+0.0767961
+0.0754623
+0.0741693
+0.0729192
+0.0716941
+0.0705099
+0.0693689
+0.0682578
+0.0671998
+0.0661974
+0.0652046
+0.0642051
+0.0632657
+0.0623891
+0.0615546
+0.06076
+0.0599693
+0.0592426
+0.0585888
+0.0580104
+0.0575097
+0.0570887
+0.0567422
+0.0564692
+0.0562802
+0.056176
+0.0561415
+0.0561627
+0.0562321
+0.0562746
+0.0562837
+0.0563778
+0.0565568
+0.056404
+0.0553838
+0.0544327
+0.0535543
+0.0527493
+0.0519772
+0.0512357
+0.0505655
+0.0499824
+0.0494829
+0.0490221
+0.048435
+0.047881
+0.0474187
+0.0470262
+0.0467214
+0.0465178
+0.0464001
+0.0463824
+0.0464682
+0.0466568
+0.0469469
+0.0473331
+0.0478009
+0.0483634
+0.0490175
+0.0497481
+0.050556
+0.0514446
+0.0524097
+0.0534472
+0.054553
+0.0557156
+0.056936
+0.0582132
+0.0595021
+0.0607707
+0.0620906
+0.0634587
+0.064872
+0.0663275
+0.0678225
+0.0693545
+0.0709212
+0.0725201
+0.0741493
+0.0998145
+0.0995728
+0.0993788
+0.0992327
+0.0991349
+0.0990855
+0.0990845
+0.0991319
+0.0979213
+0.0962379
+0.0945753
+0.0929346
+0.0913169
+0.0897215
+0.0881481
+0.0866015
+0.0850832
+0.0835948
+0.0821378
+0.080714
+0.0793251
+0.0779731
+0.0766598
+0.0753873
+0.0741508
+0.0729407
+0.0717771
+0.0706622
+0.0695794
+0.0685418
+0.0675593
+0.0666148
+0.0656368
+0.0647181
+0.0638615
+0.0630609
+0.0622689
+0.0614913
+0.0607828
+0.0601457
+0.0595824
+0.0590951
+0.0586855
+0.0583522
+0.0580868
+0.0579031
+0.0578019
+0.0577732
+0.0577966
+0.0578641
+0.0578759
+0.0578847
+0.0579763
+0.0581503
+0.0580443
+0.0570535
+0.0561306
+0.0552792
+0.054497
+0.0537528
+0.0530305
+0.0523833
+0.0518206
+0.0513342
+0.0509007
+0.0503726
+0.0498401
+0.0493908
+0.0490103
+0.0487179
+0.0485227
+0.0484084
+0.0483915
+0.0484737
+0.0486545
+0.0489328
+0.0492989
+0.0497482
+0.0502889
+0.0509183
+0.051629
+0.0524078
+0.0532655
+0.0541982
+0.0552021
+0.0562734
+0.0574079
+0.0585931
+0.0598306
+0.0610137
+0.0622514
+0.0635406
+0.0648781
+0.0662611
+0.0676868
+0.0691524
+0.0706556
+0.072194
+0.0737654
+0.0753676
+0.101561
+0.101324
+0.101133
+0.100989
+0.100893
+0.100845
+0.100844
+0.100582
+0.0988956
+0.0972291
+0.0955837
+0.0939606
+0.092361
+0.0907838
+0.0892292
+0.0877016
+0.0862027
+0.084734
+0.0832969
+0.0818933
+0.0805248
+0.0791932
+0.0779005
+0.0766486
+0.0754204
+0.074231
+0.073088
+0.0719934
+0.070944
+0.0699267
+0.0689639
+0.0680529
+0.0671094
+0.0662112
+0.0653741
+0.0645938
+0.0638112
+0.0630526
+0.0623618
+0.0617411
+0.0611925
+0.060718
+0.0603195
+0.0599923
+0.0597342
+0.0595555
+0.0594572
+0.0594373
+0.0594656
+0.0595312
+0.0595095
+0.0595181
+0.0596071
+0.0597764
+0.05972
+0.0587574
+0.0578617
+0.0570337
+0.0562757
+0.055558
+0.0548541
+0.0542286
+0.0536853
+0.0532112
+0.0528033
+0.0523301
+0.0518178
+0.0513805
+0.0510112
+0.0507303
+0.0505429
+0.0504319
+0.0504157
+0.0504946
+0.0506682
+0.0509355
+0.0512829
+0.051715
+0.0522354
+0.0528415
+0.0535306
+0.0542849
+0.0551134
+0.0560153
+0.0569872
+0.0580256
+0.0591269
+0.0602843
+0.0614122
+0.0625654
+0.063773
+0.065032
+0.0663395
+0.0676927
+0.0690888
+0.0705253
+0.0719998
+0.0735101
+0.0750539
+0.0766293
+0.0893642
+0.0874219
+0.0854916
+0.0835741
+0.0816703
+0.0797813
+0.0779081
+0.0760518
+0.0742138
+0.0723954
+0.0705949
+0.0688165
+0.0670625
+0.0653348
+0.0636357
+0.0619675
+0.0603327
+0.0587341
+0.0571747
+0.0556477
+0.0541645
+0.0527308
+0.0513504
+0.0500279
+0.048768
+0.0475757
+0.0464561
+0.0454147
+0.0444569
+0.0435883
+0.0427968
+0.0421002
+0.0415076
+0.0410236
+0.040652
+0.040396
+0.0402578
+0.0402385
+0.0403383
+0.0405564
+0.0408909
+0.041339
+0.0418969
+0.0425604
+0.0433217
+0.0441605
+0.0450902
+0.0461053
+0.0472003
+0.0483698
+0.0496085
+0.0509114
+0.0522737
+0.0536908
+0.0551585
+0.0566729
+0.0582303
+0.0598275
+0.0614612
+0.0631287
+0.0648273
+0.0665547
+0.0683087
+0.0700872
+0.0718885
+0.0737109
+0.0754393
+0.0769403
+0.0784737
+0.0800326
+0.081615
+0.0832249
+0.0848609
+0.0865214
+0.088205
+0.089854
+0.0915102
+0.0931885
+0.0947445
+0.0949237
+0.095153
+0.0954308
+0.0957495
+0.0961171
+0.0965327
+0.096983
+0.0974752
+0.0980138
+0.0985972
+0.099217
+0.0998809
+0.100588
+0.101338
+0.102129
+0.102961
+0.103806
+0.104671
+0.105574
+0.106515
+0.107492
+0.0884263
+0.0864629
+0.0845107
+0.0825704
+0.080643
+0.0787294
+0.0768305
+0.0749476
+0.0730818
+0.0712345
+0.0694072
+0.0676001
+0.0658137
+0.0640524
+0.0623183
+0.0606138
+0.0589415
+0.0573041
+0.0557047
+0.0541468
+0.0526282
+0.0511513
+0.0497272
+0.0483603
+0.0470558
+0.0458189
+0.0446553
+0.0435709
+0.0425716
+0.0416637
+0.0408454
+0.0401149
+0.0394926
+0.0389836
+0.0385924
+0.0383226
+0.0381769
+0.0381565
+0.0382618
+0.0384917
+0.038844
+0.0393153
+0.0399015
+0.0405977
+0.0413933
+0.0422703
+0.0432407
+0.0442982
+0.0454367
+0.0466505
+0.0479336
+0.0492808
+0.0506869
+0.0521471
+0.0536571
+0.0552127
+0.0568102
+0.0584462
+0.0601174
+0.0618212
+0.0635547
+0.0653158
+0.0671022
+0.0689119
+0.0707431
+0.0725488
+0.0740436
+0.0755722
+0.0771269
+0.0787067
+0.0803151
+0.0819506
+0.0836115
+0.0852963
+0.086955
+0.0886112
+0.0902902
+0.0919883
+0.0934187
+0.0936501
+0.0939083
+0.0941837
+0.0945066
+0.094879
+0.0953003
+0.0957699
+0.0962813
+0.0968357
+0.0974294
+0.098065
+0.0987367
+0.0994522
+0.10021
+0.10101
+0.101851
+0.102698
+0.103572
+0.104485
+0.105435
+0.106421
+0.0875332
+0.0855493
+0.0835758
+0.0816133
+0.0796627
+0.0777249
+0.0758009
+0.0738917
+0.0719986
+0.0701228
+0.0682657
+0.066429
+0.0646144
+0.0628202
+0.0610511
+0.0593102
+0.0576
+0.0559234
+0.0542833
+0.0526834
+0.0511272
+0.0496184
+0.0481489
+0.0467359
+0.0453847
+0.044101
+0.0428908
+0.0417606
+0.0407169
+0.0397667
+0.0389166
+0.0381522
+0.0374973
+0.0369608
+0.036548
+0.036263
+0.0361089
+0.0360874
+0.0361987
+0.0364416
+0.0368135
+0.0373105
+0.0379278
+0.0386594
+0.0394921
+0.0404105
+0.0414244
+0.0425271
+0.0437118
+0.0449721
+0.0463018
+0.0476951
+0.0491466
+0.0506512
+0.0522045
+0.0538021
+0.0554403
+0.0571155
+0.0588246
+0.0605647
+0.0623332
+0.0641278
+0.0659464
+0.0677855
+0.0696388
+0.0711638
+0.072687
+0.0742367
+0.0758134
+0.07742
+0.0790546
+0.0807156
+0.0824014
+0.0840701
+0.0857261
+0.0874057
+0.089102
+0.0908183
+0.0920759
+0.0923106
+0.0925965
+0.0929332
+0.0932985
+0.0936757
+0.0941025
+0.094578
+0.0951016
+0.0956711
+0.0962789
+0.0969324
+0.0976259
+0.0983518
+0.0991184
+0.0999272
+0.100777
+0.101624
+0.102508
+0.10343
+0.104387
+0.105376
+0.0866709
+0.0846778
+0.0826883
+0.0807043
+0.0787312
+0.0767699
+0.0748213
+0.0728865
+0.0709665
+0.0690627
+0.0671763
+0.065309
+0.0634623
+0.0616382
+0.0598373
+0.05806
+0.0563119
+0.0545957
+0.0529145
+0.0512718
+0.0496715
+0.0481177
+0.046615
+0.0451593
+0.0437595
+0.0424267
+0.0411673
+0.0399884
+0.0388972
+0.0379013
+0.0370085
+0.0362156
+0.035525
+0.0349583
+0.0345215
+0.0342197
+0.0340564
+0.0340336
+0.0341516
+0.0344089
+0.0348025
+0.0353278
+0.0359791
+0.0367496
+0.0376225
+0.0385853
+0.039646
+0.0407967
+0.0420303
+0.0433395
+0.0447178
+0.0461589
+0.0476572
+0.0492074
+0.0508048
+0.0524451
+0.0541244
+0.0558391
+0.0575861
+0.0593625
+0.0611658
+0.0629933
+0.0648404
+0.0667083
+0.0683032
+0.0698201
+0.0713639
+0.0729369
+0.0745411
+0.0761745
+0.0778354
+0.0795218
+0.081201
+0.0828564
+0.0845345
+0.0862304
+0.0879482
+0.0896866
+0.0907661
+0.0910042
+0.0912942
+0.0916357
+0.0920281
+0.0924707
+0.0929408
+0.0934223
+0.0939523
+0.0945302
+0.095155
+0.0958191
+0.0965252
+0.0972669
+0.0980513
+0.0988779
+0.099735
+0.100587
+0.101479
+0.102407
+0.103368
+0.104367
+0.0858503
+0.0838377
+0.0818342
+0.0798406
+0.0778501
+0.0758661
+0.0738937
+0.0719339
+0.0699878
+0.0680566
+0.0661416
+0.0642442
+0.062366
+0.0605088
+0.0586747
+0.0568658
+0.0550808
+0.053325
+0.0516024
+0.0499166
+0.0482713
+0.0466709
+0.0451201
+0.0436242
+0.0421819
+0.0407976
+0.0394863
+0.0382556
+0.0371135
+0.0360684
+0.035129
+0.034304
+0.0335799
+0.0329797
+0.0325164
+0.0321957
+0.0320221
+0.0319979
+0.0321233
+0.0323968
+0.0328146
+0.0333712
+0.0340599
+0.0348728
+0.0357893
+0.0368001
+0.0379107
+0.0391126
+0.0403976
+0.0417581
+0.0431868
+0.0446774
+0.0462237
+0.0478204
+0.0494626
+0.051146
+0.0528665
+0.0546207
+0.0564055
+0.0582179
+0.0600529
+0.0619102
+0.0637887
+0.0654642
+0.0669737
+0.0685108
+0.0700793
+0.0716805
+0.0733123
+0.0749725
+0.0766593
+0.0783493
+0.0800038
+0.0816786
+0.083375
+0.0850941
+0.0868343
+0.0885945
+0.0894907
+0.0897322
+0.0900263
+0.0903726
+0.0907705
+0.091217
+0.0917057
+0.092244
+0.0928308
+0.0934253
+0.0940574
+0.094736
+0.0954576
+0.0962107
+0.0970056
+0.0978411
+0.0987181
+0.0995874
+0.100484
+0.101416
+0.102386
+0.103394
+0.0850783
+0.083047
+0.0810239
+0.0790098
+0.0770054
+0.0750113
+0.07302
+0.0710361
+0.0690648
+0.067107
+0.0651641
+0.0632373
+0.0613283
+0.0594387
+0.0575705
+0.0557258
+0.0539069
+0.0521154
+0.0503515
+0.0486223
+0.0469317
+0.0452839
+0.0436839
+0.0421371
+0.0406495
+0.0392191
+0.0378532
+0.0365676
+0.035371
+0.0342728
+0.0332828
+0.0324108
+0.0316666
+0.0310296
+0.0305367
+0.0301951
+0.0300099
+0.029984
+0.0301179
+0.0304094
+0.0308541
+0.0314454
+0.0321753
+0.0330347
+0.0339984
+0.0350609
+0.0362249
+0.0374809
+0.0388199
+0.0402338
+0.0417148
+0.0432561
+0.0448514
+0.0464953
+0.0481827
+0.0499092
+0.051671
+0.0534644
+0.0552849
+0.0571292
+0.0589972
+0.0608867
+0.0626497
+0.0641507
+0.0656798
+0.0672431
+0.0688405
+0.0704699
+0.072129
+0.0738158
+0.0755171
+0.0771692
+0.078841
+0.0805376
+0.0822576
+0.0839995
+0.0857619
+0.0875437
+0.0882513
+0.0884962
+0.0887944
+0.0891455
+0.0895488
+0.0899979
+0.0904933
+0.0910387
+0.0916332
+0.0922759
+0.0929658
+0.0936848
+0.0944169
+0.0951855
+0.0959903
+0.096838
+0.0977275
+0.0986196
+0.099521
+0.100462
+0.101411
+0.102365
+0.0843561
+0.0823069
+0.0802652
+0.0782316
+0.0762067
+0.0741912
+0.0721859
+0.0701917
+0.0681996
+0.0662163
+0.0642464
+0.0622913
+0.0603523
+0.0584312
+0.0565297
+0.0546498
+0.0527939
+0.0509646
+0.0491649
+0.0473939
+0.0456578
+0.0439624
+0.0423124
+0.0407135
+0.0391719
+0.0376946
+0.0362789
+0.0349354
+0.0336809
+0.0325257
+0.0314808
+0.0305574
+0.0297669
+0.0291138
+0.0285879
+0.0282227
+0.0280244
+0.0279967
+0.02814
+0.0284518
+0.0289266
+0.0295565
+0.030332
+0.0312385
+0.0322468
+0.0333687
+0.0345921
+0.0359053
+0.0373009
+0.0387702
+0.040305
+0.0418982
+0.0435434
+0.0452348
+0.0469675
+0.0487371
+0.0505397
+0.0523699
+0.0542249
+0.056104
+0.0580051
+0.0598633
+0.0613542
+0.0628741
+0.0644309
+0.0660238
+0.06765
+0.0693074
+0.0709937
+0.0726986
+0.0743479
+0.0760237
+0.0777201
+0.0794407
+0.0811839
+0.0829483
+0.0847326
+0.0865356
+0.0870356
+0.0872945
+0.0875999
+0.0879558
+0.0883645
+0.0888162
+0.0893181
+0.0898707
+0.0904729
+0.0911238
+0.0918223
+0.0925675
+0.0933581
+0.0941804
+0.0950098
+0.0958696
+0.0967378
+0.0975504
+0.0984051
+0.0992921
+0.100218
+0.101184
+0.083685
+0.081619
+0.0795597
+0.0775075
+0.0754632
+0.0734273
+0.0714005
+0.0693838
+0.0673779
+0.0653838
+0.0633912
+0.0614088
+0.0594411
+0.0574896
+0.0555558
+0.0536418
+0.0517498
+0.0498822
+0.048042
+0.0462322
+0.0444556
+0.0427124
+0.0410122
+0.0393605
+0.0377637
+0.036229
+0.0347647
+0.0333672
+0.0320514
+0.0308353
+0.029731
+0.0287515
+0.0279099
+0.027219
+0.0266766
+0.0262848
+0.0260719
+0.0260421
+0.0261961
+0.0265307
+0.0270393
+0.0277121
+0.0285377
+0.0294849
+0.0305512
+0.0317331
+0.0330171
+0.0343905
+0.0358451
+0.0373717
+0.0389616
+0.0406076
+0.0423029
+0.044042
+0.0458199
+0.0476321
+0.049475
+0.0513432
+0.0532339
+0.0551469
+0.0570798
+0.0585876
+0.0600971
+0.0616462
+0.0632333
+0.0648555
+0.0665104
+0.0681954
+0.0699018
+0.0715485
+0.0732238
+0.0749247
+0.0766454
+0.0783896
+0.0801556
+0.0819422
+0.083748
+0.0855717
+0.0858505
+0.086113
+0.0864302
+0.0868015
+0.087217
+0.0876733
+0.0881817
+0.0887413
+0.0893511
+0.0900102
+0.0907173
+0.0914715
+0.0922715
+0.0931161
+0.0939955
+0.094758
+0.0955372
+0.09636
+0.0972251
+0.0981226
+0.0990598
+0.100036
+0.0830663
+0.0809845
+0.0789086
+0.0768391
+0.0747765
+0.0727214
+0.0706744
+0.0686363
+0.0666078
+0.06459
+0.0625838
+0.0605904
+0.0585977
+0.0566171
+0.0546524
+0.0527057
+0.0507788
+0.0488741
+0.0469944
+0.0451427
+0.0433226
+0.0415384
+0.0397901
+0.0380855
+0.0364328
+0.0348396
+0.0333143
+0.0318666
+0.0304924
+0.0292114
+0.0280432
+0.0270026
+0.0261047
+0.0253647
+0.0247967
+0.0243899
+0.0241602
+0.024128
+0.0242942
+0.0246547
+0.0252011
+0.0259217
+0.0267966
+0.0277934
+0.0289221
+0.0301679
+0.0315158
+0.0329517
+0.0344672
+0.0360521
+0.0376978
+0.0393966
+0.0411419
+0.042928
+0.0447501
+0.046604
+0.048486
+0.0503909
+0.052316
+0.0542613
+0.0558545
+0.0573524
+0.0588928
+0.0604728
+0.0620898
+0.0637412
+0.0654242
+0.0671315
+0.0687748
+0.0704479
+0.0721487
+0.0738744
+0.075619
+0.0773863
+0.0791747
+0.0809829
+0.0828096
+0.0844956
+0.0847056
+0.0849715
+0.085293
+0.0856692
+0.086091
+0.086564
+0.0870856
+0.0876522
+0.0882696
+0.0889366
+0.0896522
+0.0904152
+0.0912245
+0.0920025
+0.0928011
+0.0935833
+0.0943638
+0.0951868
+0.0960525
+0.0969509
+0.0978878
+0.098857
+0.0825012
+0.0804047
+0.0783135
+0.0762278
+0.0741482
+0.0720751
+0.0700093
+0.0679512
+0.0659017
+0.0638616
+0.0618317
+0.0598133
+0.0578073
+0.0558148
+0.0538231
+0.0518452
+0.0498851
+0.0479449
+0.0460273
+0.044135
+0.0422716
+0.040441
+0.0386479
+0.0368966
+0.0351881
+0.0335358
+0.0319483
+0.0304358
+0.0290099
+0.0276658
+0.0264294
+0.0253225
+0.0243627
+0.0235681
+0.0229557
+0.0225398
+0.0222911
+0.0222563
+0.0224363
+0.0228261
+0.0234152
+0.0241891
+0.0251151
+0.026176
+0.0273715
+0.0286847
+0.0300991
+0.0315995
+0.0331768
+0.0348205
+0.0365217
+0.0382727
+0.040067
+0.041899
+0.043764
+0.0456579
+0.0475773
+0.0495172
+0.051475
+0.0531606
+0.0546445
+0.0561747
+0.0577465
+0.059357
+0.0610037
+0.0626836
+0.064391
+0.0660299
+0.0676999
+0.0693989
+0.0711248
+0.0728747
+0.0746427
+0.0764326
+0.0782428
+0.0800721
+0.0819191
+0.0833895
+0.0836023
+0.0838718
+0.0841974
+0.0845786
+0.0850057
+0.0854847
+0.0860169
+0.0866012
+0.0872296
+0.0879045
+0.0886285
+0.0893326
+0.0900655
+0.0908184
+0.0916174
+0.0923867
+0.0931757
+0.0940091
+0.0948698
+0.0957693
+0.0967101
+0.0976031
+0.0819907
+0.0798808
+0.0777755
+0.075675
+0.0735798
+0.0714902
+0.0694069
+0.0673305
+0.0652615
+0.0632007
+0.0611489
+0.0591071
+0.0570764
+0.0550579
+0.0530525
+0.0510565
+0.049073
+0.0470994
+0.0451458
+0.043215
+0.0413101
+0.0394349
+0.0375938
+0.0357922
+0.0340362
+0.0323281
+0.0306781
+0.0290996
+0.0276049
+0.0262081
+0.0249038
+0.0237258
+0.0226987
+0.0218436
+0.0211814
+0.0207307
+0.0204745
+0.0204365
+0.0206324
+0.0210557
+0.0216929
+0.0225261
+0.0235176
+0.0246474
+0.0259135
+0.0272969
+0.0287796
+0.0303453
+0.0319845
+0.0336865
+0.0354421
+0.0372439
+0.0390855
+0.0409614
+0.0428672
+0.044799
+0.0467537
+0.0487264
+0.0505131
+0.0519803
+0.053497
+0.055059
+0.0566618
+0.0583023
+0.0599779
+0.0616845
+0.0633175
+0.0649834
+0.0666797
+0.068404
+0.0701544
+0.071928
+0.0737186
+0.0755304
+0.0773618
+0.0792114
+0.081078
+0.0823177
+0.0825332
+0.0828062
+0.083136
+0.0835219
+0.0839633
+0.0844485
+0.0849871
+0.0855785
+0.0862214
+0.0868452
+0.0874612
+0.0881274
+0.0888427
+0.0896057
+0.0904155
+0.0912255
+0.0920137
+0.0928194
+0.0936651
+0.0945373
+0.0954513
+0.0963502
+0.0815349
+0.079414
+0.0772959
+0.075182
+0.0730726
+0.0709681
+0.0688691
+0.0667759
+0.0646891
+0.0626095
+0.0605377
+0.0584746
+0.0564211
+0.0543783
+0.0523474
+0.0503294
+0.04832
+0.0463266
+0.0443518
+0.0423883
+0.0404445
+0.0385272
+0.0366406
+0.0347896
+0.0329803
+0.0312198
+0.029516
+0.0278718
+0.0263074
+0.0248378
+0.0234789
+0.0222261
+0.0211262
+0.0202047
+0.0194869
+0.018996
+0.018738
+0.0186965
+0.0189105
+0.0193714
+0.0200622
+0.0209603
+0.0220224
+0.023225
+0.0245645
+0.0260198
+0.0275713
+0.0292018
+0.0309017
+0.0326602
+0.0344681
+0.0363183
+0.0382045
+0.0401216
+0.0420655
+0.0440325
+0.0460198
+0.0479051
+0.0493667
+0.050867
+0.0524158
+0.0540092
+0.0556422
+0.0573119
+0.0590156
+0.0606422
+0.0623026
+0.0639949
+0.0657167
+0.0674656
+0.0692397
+0.0710361
+0.0728487
+0.0746816
+0.0765333
+0.0784024
+0.0802879
+0.081218
+0.0814706
+0.0817812
+0.0821175
+0.0825082
+0.082955
+0.0834536
+0.0840019
+0.0845172
+0.085051
+0.085624
+0.0862489
+0.0869244
+0.0876495
+0.088423
+0.0892436
+0.0899698
+0.0907338
+0.0915287
+0.0923686
+0.0932524
+0.0941738
+0.0951219
+0.0811297
+0.0790002
+0.0768741
+0.0747499
+0.072628
+0.0705103
+0.0683972
+0.0662891
+0.0641865
+0.0620901
+0.0600003
+0.0579181
+0.0558441
+0.0537794
+0.051725
+0.0496823
+0.047652
+0.0456299
+0.0436236
+0.0416358
+0.0396694
+0.0377163
+0.0357869
+0.0338894
+0.0320292
+0.0302134
+0.0284505
+0.0267508
+0.0251273
+0.0235915
+0.0221564
+0.0208243
+0.019646
+0.0186515
+0.0178714
+0.0173348
+0.0170647
+0.0170606
+0.0172948
+0.0177976
+0.0185472
+0.0195151
+0.0206517
+0.0219296
+0.0233436
+0.0248704
+0.0264892
+0.0281825
+0.0299403
+0.031752
+0.0336089
+0.0355039
+0.0374311
+0.0393859
+0.0413643
+0.0433632
+0.0452695
+0.0468122
+0.0482925
+0.0498251
+0.0514054
+0.0530291
+0.0546914
+0.0563892
+0.0580089
+0.0596622
+0.0613491
+0.063067
+0.0648134
+0.0665861
+0.068382
+0.0701952
+0.0720294
+0.073883
+0.0757545
+0.0772977
+0.0788528
+0.0801538
+0.0804097
+0.0807244
+0.081097
+0.0815268
+0.0819122
+0.0823301
+0.0828037
+0.0833054
+0.0838331
+0.0844143
+0.0850479
+0.0857329
+0.0864679
+0.0872518
+0.0879774
+0.0886887
+0.089448
+0.0902542
+0.0911059
+0.0919993
+0.0929284
+0.0938994
+0.0807818
+0.0786429
+0.0765069
+0.0743742
+0.0722448
+0.0701179
+0.0679926
+0.0658716
+0.0637552
+0.0616441
+0.0595387
+0.0574397
+0.0553478
+0.0532639
+0.0511889
+0.0491239
+0.0470702
+0.0450286
+0.0429947
+0.0409765
+0.0389769
+0.0369989
+0.0350442
+0.033104
+0.0311971
+0.0293298
+0.0275103
+0.0257487
+0.0240576
+0.0224496
+0.0209422
+0.0195643
+0.0183088
+0.0172373
+0.0163901
+0.0158033
+0.0155065
+0.0155163
+0.01581
+0.0163585
+0.017171
+0.0182122
+0.0194319
+0.0207849
+0.0222717
+0.0238671
+0.0255497
+0.0273012
+0.0291123
+0.0309725
+0.0328734
+0.0348085
+0.0367722
+0.0387602
+0.040769
+0.0426919
+0.0443272
+0.0457829
+0.0472954
+0.0488593
+0.0504699
+0.0521228
+0.053813
+0.0554236
+0.0570678
+0.0587475
+0.06046
+0.0622024
+0.0639704
+0.0657592
+0.0675718
+0.0694061
+0.0711474
+0.0726743
+0.0742033
+0.0757586
+0.0773446
+0.0789596
+0.0793855
+0.0797041
+0.0800303
+0.0803432
+0.0807097
+0.0811337
+0.0816143
+0.0821122
+0.0826476
+0.083237
+0.0838795
+0.0845739
+0.085319
+0.0860341
+0.0867061
+0.0874277
+0.0881979
+0.0890154
+0.0898786
+0.090777
+0.0917185
+0.0927022
+0.0804921
+0.0783453
+0.076201
+0.0740594
+0.0719207
+0.0697853
+0.0676534
+0.0655247
+0.0633968
+0.0612733
+0.0591547
+0.0570416
+0.0549345
+0.0528343
+0.0507417
+0.0486577
+0.0465836
+0.0445205
+0.0424693
+0.0404253
+0.0383969
+0.0363875
+0.0344001
+0.0324389
+0.0305
+0.0285872
+0.0267171
+0.0248994
+0.0231464
+0.0214703
+0.0198888
+0.0184323
+0.0171329
+0.0159911
+0.015074
+0.0144338
+0.0141082
+0.014119
+0.01445
+0.0150482
+0.0159276
+0.0170449
+0.0183494
+0.0197849
+0.0213492
+0.0230158
+0.0247615
+0.0265651
+0.0284231
+0.0303256
+0.0322647
+0.0342341
+0.036229
+0.0382453
+0.040188
+0.0419238
+0.0433496
+0.0448371
+0.0463805
+0.0479742
+0.0496135
+0.0512883
+0.0528819
+0.0545169
+0.0561898
+0.0578972
+0.0596348
+0.0613936
+0.0631795
+0.0649901
+0.0665739
+0.0680624
+0.0695881
+0.0711093
+0.0726647
+0.0742522
+0.0758697
+0.0775154
+0.0783053
+0.0785219
+0.0787988
+0.0791354
+0.0795309
+0.0799795
+0.0804627
+0.0809605
+0.0815034
+0.082101
+0.0827524
+0.0834562
+0.0841571
+0.0847873
+0.0854691
+0.0862011
+0.0869821
+0.0878109
+0.0886816
+0.0895916
+0.0905454
+0.0915113
+0.0802559
+0.0781058
+0.075957
+0.0738083
+0.0716622
+0.0695188
+0.0673785
+0.0652415
+0.0631082
+0.060979
+0.0588498
+0.0567253
+0.0546061
+0.0524927
+0.0503859
+0.0482866
+0.0461957
+0.0441146
+0.0420446
+0.0399863
+0.0379349
+0.0358995
+0.0338836
+0.0318906
+0.0299254
+0.0279937
+0.0260843
+0.0242191
+0.022413
+0.0206775
+0.0190302
+0.0175025
+0.0161283
+0.0149502
+0.0139786
+0.0132857
+0.0129312
+0.012943
+0.0133116
+0.0139586
+0.0149025
+0.0160912
+0.0174681
+0.0189707
+0.0205968
+0.0223198
+0.0241163
+0.0259648
+0.0278629
+0.0298012
+0.0317723
+0.0337704
+0.0357911
+0.0377723
+0.0395829
+0.041006
+0.0424627
+0.0439802
+0.0455526
+0.0471743
+0.0488173
+0.0503937
+0.0520147
+0.0536762
+0.0553744
+0.0571062
+0.0588672
+0.0606342
+0.06205
+0.0634935
+0.0649788
+0.0664958
+0.0680156
+0.0695712
+0.0711603
+0.0727806
+0.0744301
+0.0761069
+0.077049
+0.0772693
+0.0775508
+0.077893
+0.0782949
+0.0787558
+0.0792746
+0.0798115
+0.0803851
+0.0810067
+0.0816671
+0.0823489
+0.082935
+0.0835744
+0.0842659
+0.0850083
+0.0858003
+0.0866403
+0.0875227
+0.0884445
+0.0894105
+0.0902755
+0.0800726
+0.0779175
+0.0757644
+0.0736135
+0.071465
+0.0693192
+0.0671739
+0.0650302
+0.0628898
+0.0607529
+0.05862
+0.0564915
+0.0543639
+0.0522408
+0.0501234
+0.0480126
+0.0459093
+0.0438145
+0.0417297
+0.0396562
+0.0375946
+0.0355401
+0.0335026
+0.0314855
+0.0294933
+0.0275313
+0.0256063
+0.0237224
+0.0218752
+0.0200933
+0.0183938
+0.0168083
+0.0153723
+0.0141312
+0.0131071
+0.0123655
+0.0119838
+0.0119966
+0.0124025
+0.013106
+0.0141071
+0.0153574
+0.0168015
+0.0183828
+0.0200567
+0.0218223
+0.0236567
+0.0255384
+0.027466
+0.0294304
+0.0314248
+0.0334437
+0.0354515
+0.0372569
+0.0387685
+0.0401868
+0.0416721
+0.0432174
+0.0448166
+0.0464215
+0.0479767
+0.0495799
+0.0512266
+0.0529128
+0.0546348
+0.0562115
+0.0575835
+0.0589775
+0.060415
+0.0618966
+0.063404
+0.0649223
+0.0664781
+0.0680689
+0.0696922
+0.0713459
+0.0730278
+0.0747361
+0.0758123
+0.0760362
+0.0763222
+0.0766699
+0.0770782
+0.0775463
+0.0780731
+0.0786419
+0.079224
+0.079862
+0.0805545
+0.0811586
+0.0817533
+0.0824019
+0.0831032
+0.0838559
+0.0846586
+0.0855099
+0.0864031
+0.0873367
+0.0882202
+0.0890678
+0.079949
+0.0777904
+0.0756337
+0.073479
+0.0713265
+0.0691763
+0.0670289
+0.0648843
+0.0627428
+0.0606041
+0.0584667
+0.0563326
+0.0542029
+0.0520782
+0.0499557
+0.0478375
+0.0457261
+0.0436226
+0.041528
+0.039444
+0.0373721
+0.0353129
+0.0332618
+0.0312292
+0.0292195
+0.0272378
+0.0252905
+0.0233863
+0.0215367
+0.0197278
+0.0180031
+0.0163799
+0.0149026
+0.0136189
+0.012553
+0.0117765
+0.0113752
+0.0113886
+0.0118154
+0.0125674
+0.0136082
+0.0149003
+0.0163774
+0.0180004
+0.0197334
+0.0215234
+0.0233716
+0.0252746
+0.0272209
+0.0292018
+0.0312108
+0.0332427
+0.0350391
+0.0366469
+0.0380274
+0.0394724
+0.0409835
+0.0425539
+0.0441133
+0.045642
+0.0472228
+0.0488507
+0.0505213
+0.0518708
+0.0531751
+0.0545275
+0.0559078
+0.0573385
+0.058816
+0.060313
+0.0618295
+0.0633855
+0.0649782
+0.0666048
+0.0682629
+0.0699504
+0.0716651
+0.0734051
+0.0745965
+0.0748364
+0.0751375
+0.0754906
+0.0759053
+0.0763806
+0.0769154
+0.077503
+0.0780955
+0.0787444
+0.0794481
+0.0800107
+0.0806138
+0.0812715
+0.0819825
+0.0827454
+0.0835587
+0.0844157
+0.0853148
+0.0862185
+0.0870283
+0.087885
+0.0798627
+0.0777049
+0.075549
+0.0733951
+0.0712435
+0.0690944
+0.0669462
+0.0647995
+0.0626557
+0.0605153
+0.0583786
+0.0562429
+0.0541106
+0.0519831
+0.0498611
+0.0477454
+0.0456367
+0.043536
+0.0414414
+0.0393528
+0.0372758
+0.0352126
+0.0331631
+0.0311245
+0.0291079
+0.0271182
+0.0251619
+0.0232474
+0.0213858
+0.019563
+0.0178223
+0.0161912
+0.0147062
+0.0134161
+0.0123676
+0.0115787
+0.0111702
+0.0111839
+0.0116182
+0.0123823
+0.0134374
+0.0147445
+0.0162357
+0.0178716
+0.019616
+0.0214158
+0.0232726
+0.025183
+0.0271359
+0.0291226
+0.0311367
+0.0329582
+0.0346585
+0.0359956
+0.0374001
+0.0388684
+0.0404022
+0.0419071
+0.0434029
+0.0449557
+0.0464653
+0.047627
+0.0488564
+0.0501457
+0.0514722
+0.0528414
+0.0542645
+0.0557375
+0.0572227
+0.0587373
+0.0602935
+0.0618882
+0.0635183
+0.0651814
+0.0668748
+0.0685965
+0.0703442
+0.0721161
+0.0733986
+0.0736424
+0.0739503
+0.0743216
+0.0747552
+0.0752501
+0.0758032
+0.0763629
+0.0769642
+0.0776226
+0.0783363
+0.0789069
+0.0795184
+0.080185
+0.0809056
+0.0816785
+0.0824969
+0.0833591
+0.0842453
+0.0850528
+0.0858671
+0.0867144
+0.0798358
+0.0776772
+0.0755205
+0.0733658
+0.0712133
+0.0690633
+0.0669158
+0.0647712
+0.0626299
+0.060492
+0.0583577
+0.0562244
+0.0540957
+0.0519721
+0.0498543
+0.0477392
+0.0456302
+0.0435293
+0.0414376
+0.0393568
+0.0372885
+0.0352337
+0.0331825
+0.0311454
+0.0291306
+0.0271431
+0.0251893
+0.0232777
+0.0214196
+0.0196303
+0.0179096
+0.0162873
+0.014812
+0.0135319
+0.0125071
+0.0117389
+0.0113361
+0.0113496
+0.0117778
+0.0125668
+0.0136076
+0.0149
+0.0163844
+0.0180104
+0.0197425
+0.0215318
+0.0233793
+0.0252817
+0.0272275
+0.0292079
+0.0310475
+0.0327723
+0.03411
+0.0354678
+0.0368924
+0.0383801
+0.0398199
+0.0412751
+0.0424625
+0.0435185
+0.0446485
+0.0458531
+0.0471252
+0.0484222
+0.0497789
+0.0511935
+0.0526612
+0.0541333
+0.0556458
+0.0572022
+0.058799
+0.0604331
+0.0621015
+0.0638015
+0.0655306
+0.0672866
+0.0690675
+0.0708713
+0.0722474
+0.0724951
+0.0728078
+0.0731849
+0.0736252
+0.0741096
+0.0746483
+0.075247
+0.0758793
+0.076547
+0.0772683
+0.0778491
+0.0784688
+0.0791443
+0.0798742
+0.0806514
+0.0814743
+0.0823315
+0.0830606
+0.0838218
+0.0846328
+0.0854924
+0.0798689
+0.0777113
+0.0755556
+0.0734019
+0.0712505
+0.0691016
+0.0669554
+0.0648121
+0.0626722
+0.0605358
+0.0584035
+0.0562757
+0.0541529
+0.0520357
+0.0499248
+0.047818
+0.0457178
+0.0436264
+0.0415453
+0.0394711
+0.0374091
+0.0353613
+0.0333228
+0.0313049
+0.0293117
+0.0273425
+0.0254041
+0.0235099
+0.0216718
+0.0199051
+0.0182307
+0.0166732
+0.0152353
+0.013994
+0.0130056
+0.0122687
+0.0118839
+0.0118967
+0.0123059
+0.0130709
+0.0140798
+0.0153324
+0.0167786
+0.0183728
+0.0200797
+0.0218528
+0.023689
+0.0255683
+0.0274938
+0.029335
+0.0309914
+0.0324114
+0.0336953
+0.0350691
+0.0365093
+0.0378563
+0.0386665
+0.0395815
+0.040594
+0.0416875
+0.0428634
+0.0441044
+0.0453788
+0.0467212
+0.0481259
+0.0495856
+0.0510449
+0.052555
+0.0541116
+0.0557109
+0.0573493
+0.0590235
+0.0607306
+0.062468
+0.064233
+0.0660235
+0.0678375
+0.0696732
+0.071009
+0.071274
+0.0716051
+0.0719746
+0.0723967
+0.0728822
+0.07343
+0.0740385
+0.0747062
+0.0754318
+0.0762117
+0.0768392
+0.077467
+0.0781512
+0.0788845
+0.0796654
+0.0804546
+0.081122
+0.0818426
+0.082615
+0.0834346
+0.084292
+0.0798999
+0.077768
+0.0756393
+0.0735012
+0.0713541
+0.0692092
+0.0670665
+0.0649269
+0.0627909
+0.0606587
+0.0585309
+0.0564079
+0.0542902
+0.0521786
+0.0500738
+0.0479767
+0.0458883
+0.0438099
+0.041743
+0.0396877
+0.0376438
+0.0356174
+0.0336008
+0.0316006
+0.0296274
+0.0276869
+0.0257865
+0.0239357
+0.0221389
+0.0204127
+0.0187836
+0.0172775
+0.0158966
+0.0147128
+0.0137779
+0.0131451
+0.0127884
+0.0128004
+0.0131816
+0.0138984
+0.0148539
+0.016053
+0.0174411
+0.0189797
+0.0206358
+0.0223576
+0.0241554
+0.0260136
+0.0278347
+0.0294298
+0.0309307
+0.0321244
+0.0334193
+0.0343822
+0.035105
+0.0358787
+0.0367326
+0.0376946
+0.0387479
+0.0398902
+0.0410916
+0.0423433
+0.0436691
+0.0450624
+0.0465049
+0.0479578
+0.0494651
+0.0510219
+0.0526239
+0.0542671
+0.0559478
+0.0576627
+0.059409
+0.0611838
+0.0629848
+0.0648099
+0.0666569
+0.0685242
+0.0698096
+0.0700792
+0.0704144
+0.070778
+0.0712072
+0.0717008
+0.0722575
+0.0728758
+0.0735541
+0.0742909
+0.0750844
+0.0758791
+0.0765148
+0.0772015
+0.0779377
+0.0786288
+0.0792567
+0.0799189
+0.0806353
+0.0814043
+0.0822245
+0.0830918
+0.0799022
+0.0777703
+0.0756417
+0.0735168
+0.0713959
+0.0692793
+0.0671671
+0.065057
+0.0629519
+0.0608529
+0.0587362
+0.0566229
+0.0545149
+0.0524128
+0.0503178
+0.0482313
+0.0461544
+0.0440885
+0.0420353
+0.0399967
+0.0379751
+0.0359732
+0.0339946
+0.0320436
+0.0300996
+0.0281916
+0.0263277
+0.0245178
+0.022775
+0.0211157
+0.0195613
+0.0181266
+0.0168156
+0.0157013
+0.0148288
+0.0142428
+0.0139429
+0.0139539
+0.0143043
+0.0149705
+0.015892
+0.0170181
+0.0183377
+0.019807
+0.0213952
+0.0230603
+0.0248073
+0.026612
+0.0281034
+0.0296405
+0.0307861
+0.0312346
+0.0317323
+0.0323662
+0.0331331
+0.0339234
+0.0348253
+0.035835
+0.0369375
+0.0380925
+0.0393176
+0.040624
+0.0420041
+0.0434265
+0.0448722
+0.0463763
+0.0479333
+0.0495383
+0.0511868
+0.0528746
+0.0545982
+0.0563543
+0.0581398
+0.0599522
+0.0617892
+0.0636485
+0.0655283
+0.0674238
+0.0686592
+0.0689332
+0.0692602
+0.0696299
+0.0700661
+0.0705677
+0.0711332
+0.0717612
+0.07245
+0.0731979
+0.0739767
+0.0748004
+0.0756081
+0.0762968
+0.0768557
+0.077427
+0.0780433
+0.0787158
+0.079443
+0.0802234
+0.0810551
+0.081929
+0.0799644
+0.0778342
+0.0757075
+0.0735845
+0.0714655
+0.0693511
+0.0672412
+0.0651335
+0.0630309
+0.0609346
+0.0588452
+0.0567634
+0.0546901
+0.0526263
+0.0505732
+0.0485321
+0.0465046
+0.0444676
+0.0424356
+0.0404194
+0.0384211
+0.036444
+0.0344924
+0.0325713
+0.0306863
+0.028842
+0.0270295
+0.0252754
+0.0235903
+0.0219926
+0.0205048
+0.0191525
+0.0179277
+0.0168869
+0.0160789
+0.0155401
+0.0152988
+0.0153263
+0.0156461
+0.0162574
+0.017129
+0.0181969
+0.0194367
+0.0208286
+0.0223443
+0.0239435
+0.0256303
+0.0270505
+0.028255
+0.0284661
+0.0287647
+0.0291666
+0.029698
+0.0303744
+0.0311691
+0.0319987
+0.0329532
+0.0340107
+0.0351105
+0.0363041
+0.0375876
+0.038952
+0.0403513
+0.0417884
+0.0432888
+0.0448461
+0.0464544
+0.0481088
+0.0498046
+0.0515377
+0.0533046
+0.0551018
+0.0569267
+0.0587765
+0.0606491
+0.0625401
+0.0644485
+0.0663743
+0.0674518
+0.0677581
+0.0680882
+0.0684641
+0.0689077
+0.0694175
+0.0699923
+0.0706303
+0.07133
+0.0720895
+0.0728687
+0.0737048
+0.0745593
+0.0751686
+0.07568
+0.0762475
+0.0768733
+0.0775559
+0.0782939
+0.0790856
+0.0799228
+0.0808088
+0.0800836
+0.0779559
+0.0758318
+0.0737116
+0.0715956
+0.0694843
+0.0673781
+0.0652774
+0.0631828
+0.0610941
+0.0590111
+0.0569353
+0.0548685
+0.0528117
+0.0507661
+0.0487331
+0.0467144
+0.0447119
+0.0427278
+0.0407649
+0.0388263
+0.036916
+0.0350385
+0.0331994
+0.0313686
+0.0295583
+0.0278027
+0.026113
+0.0245027
+0.0229886
+0.0215909
+0.0203136
+0.0192008
+0.0182441
+0.0174989
+0.0170051
+0.016785
+0.0168492
+0.0171483
+0.0177078
+0.0185113
+0.0195248
+0.0206845
+0.0219997
+0.023444
+0.0249881
+0.0260567
+0.0260751
+0.0262183
+0.0264153
+0.0266826
+0.0271154
+0.0276876
+0.0284119
+0.0292272
+0.0301103
+0.0311065
+0.0321505
+0.0333061
+0.0345621
+0.0359078
+0.0372798
+0.038707
+0.040203
+0.0417604
+0.0433725
+0.0450336
+0.0467383
+0.048482
+0.0502608
+0.0520709
+0.0539094
+0.0557732
+0.0576589
+0.0595625
+0.0614853
+0.0634214
+0.0653435
+0.0662293
+0.0665428
+0.0668654
+0.0672481
+0.0676996
+0.0682185
+0.0688033
+0.0694523
+0.0701637
+0.0709356
+0.0717662
+0.0726533
+0.0735379
+0.0740215
+0.0745373
+0.0751134
+0.0757485
+0.0764412
+0.0771898
+0.0779881
+0.078835
+0.0797332
+0.0802538
+0.0781308
+0.0760115
+0.0738965
+0.071786
+0.0696804
+0.0675803
+0.0654861
+0.0633984
+0.0613179
+0.0592454
+0.0571816
+0.0551277
+0.0530846
+0.0510521
+0.0490313
+0.0470254
+0.0450367
+0.0430676
+0.0411209
+0.0391999
+0.0373088
+0.0354521
+0.0336356
+0.0318633
+0.0301402
+0.0284815
+0.0268991
+0.0254071
+0.0240225
+0.0227508
+0.0215613
+0.0205297
+0.0196746
+0.0190345
+0.0186004
+0.0183993
+0.0184579
+0.0187621
+0.0192748
+0.0200154
+0.0209599
+0.0220614
+0.0233007
+0.0245474
+0.0241865
+0.0240207
+0.0240534
+0.0242086
+0.0243396
+0.0246192
+0.0250877
+0.0257067
+0.0264853
+0.0273229
+0.0282368
+0.0292192
+0.0303283
+0.0315507
+0.0328738
+0.034213
+0.0356284
+0.0371192
+0.0386767
+0.0402931
+0.0419617
+0.0436764
+0.045432
+0.0472241
+0.0490485
+0.0509018
+0.0527808
+0.0546788
+0.0565979
+0.0585282
+0.0604472
+0.062384
+0.0643371
+0.0649832
+0.0652869
+0.0656624
+0.0660763
+0.0665357
+0.0670635
+0.0676582
+0.068318
+0.0690411
+0.0698254
+0.0706689
+0.0715696
+0.0724379
+0.0729022
+0.073429
+0.0740169
+0.0746607
+0.0753542
+0.0761043
+0.0769096
+0.0777683
+0.0786766
+0.0804833
+0.0783665
+0.0762538
+0.0741457
+0.0720425
+0.0699447
+0.0678527
+0.0657672
+0.0636887
+0.061618
+0.0595559
+0.0575033
+0.0554613
+0.053431
+0.0514139
+0.0494116
+0.0474234
+0.0454522
+0.043502
+0.0415757
+0.039677
+0.0378098
+0.0359791
+0.0341847
+0.032437
+0.0307462
+0.029122
+0.0275763
+0.0261231
+0.0247785
+0.0235612
+0.0224843
+0.0215703
+0.0208474
+0.0203358
+0.0200519
+0.0200052
+0.0201474
+0.0204371
+0.0209456
+0.0216291
+0.0225059
+0.0235376
+0.0231819
+0.0225879
+0.0221951
+0.0220143
+0.0220507
+0.0221027
+0.0222369
+0.0225799
+0.0230898
+0.0237627
+0.0245477
+0.0254158
+0.026321
+0.027372
+0.0285527
+0.0298467
+0.0311525
+0.0325536
+0.0340381
+0.0355955
+0.0372168
+0.038894
+0.04062
+0.0423891
+0.0441959
+0.046036
+0.0479057
+0.049798
+0.0517126
+0.0536361
+0.0555513
+0.0574861
+0.0594386
+0.0614073
+0.0633905
+0.0637702
+0.0640797
+0.0644621
+0.0649163
+0.0654086
+0.0659455
+0.0665502
+0.0672208
+0.0679556
+0.0687522
+0.0696088
+0.070523
+0.0713518
+0.0718231
+0.0723577
+0.0729505
+0.0735948
+0.0742981
+0.0750589
+0.0758752
+0.0767438
+0.0776342
+0.0807716
+0.0786625
+0.076558
+0.0744585
+0.0723644
+0.0702762
+0.0681944
+0.0661197
+0.0640526
+0.0619941
+0.0599449
+0.0579048
+0.055874
+0.0538557
+0.0518513
+0.0498627
+0.0478917
+0.0459406
+0.044012
+0.0421091
+0.0402355
+0.0383955
+0.0365941
+0.0348374
+0.0331324
+0.0314875
+0.0299095
+0.0284067
+0.0269982
+0.0256974
+0.0245132
+0.0234742
+0.0226003
+0.0219114
+0.0214252
+0.0211559
+0.0211116
+0.0212938
+0.0216623
+0.0222335
+0.0229912
+0.0230638
+0.02212
+0.0213222
+0.0206748
+0.0202449
+0.0200465
+0.0200236
+0.0199976
+0.0201458
+0.0205252
+0.0210855
+0.0217957
+0.0226008
+0.0234602
+0.024438
+0.0255665
+0.0268248
+0.0281003
+0.0294836
+0.0309603
+0.0325176
+0.0341445
+0.0358315
+0.0375705
+0.0393547
+0.0411781
+0.0430358
+0.0449211
+0.0468301
+0.0487453
+0.0506558
+0.0525883
+0.0545402
+0.0565096
+0.0584948
+0.0604942
+0.0623538
+0.0626074
+0.0629256
+0.063315
+0.0637773
+0.064311
+0.0648822
+0.0654967
+0.066178
+0.0669242
+0.067733
+0.0686022
+0.0695072
+0.0701609
+0.0707953
+0.0713338
+0.0719259
+0.0725793
+0.0732924
+0.0740332
+0.074826
+0.075674
+0.0765753
+0.0798655
+0.078836
+0.0769235
+0.0748342
+0.0727509
+0.0706741
+0.068604
+0.0665391
+0.0644825
+0.062435
+0.0603976
+0.0583712
+0.0563572
+0.0543568
+0.0523717
+0.0504036
+0.0484546
+0.0465271
+0.0446239
+0.0427483
+0.0409039
+0.0390954
+0.0373278
+0.0356073
+0.033941
+0.0323373
+0.030806
+0.0293581
+0.0279929
+0.026731
+0.0255946
+0.0246013
+0.0237689
+0.0231148
+0.0226545
+0.0224
+0.0223582
+0.0225269
+0.0228678
+0.0234095
+0.0224906
+0.0213595
+0.0203368
+0.0194886
+0.0188223
+0.0183459
+0.0180246
+0.0179308
+0.0179094
+0.0180747
+0.0184891
+0.0191091
+0.0198375
+0.020668
+0.0215499
+0.0226105
+0.023822
+0.0250593
+0.0264202
+0.027887
+0.0294438
+0.0310772
+0.0327757
+0.0345296
+0.036331
+0.0381732
+0.0400494
+0.0419514
+0.0438562
+0.0457611
+0.0476906
+0.0496417
+0.0516121
+0.0535996
+0.0556024
+0.0576188
+0.0596476
+0.0611551
+0.0614147
+0.0617422
+0.062139
+0.0626101
+0.0631536
+0.0637678
+0.0644506
+0.0651896
+0.065947
+0.066738
+0.0675397
+0.068352
+0.0690166
+0.0697359
+0.0702992
+0.0709233
+0.0715469
+0.0722317
+0.0729758
+0.0737775
+0.0746349
+0.0755461
+0.0785465
+0.0775003
+0.0764923
+0.0752148
+0.0731408
+0.0710738
+0.0690144
+0.0669633
+0.0649214
+0.0628895
+0.0608686
+0.0588599
+0.0568646
+0.0548842
+0.0529204
+0.050975
+0.0490504
+0.047149
+0.0452737
+0.043428
+0.0416158
+0.0398414
+0.0381089
+0.0364239
+0.0347885
+0.0332145
+0.0317138
+0.0302973
+0.0289773
+0.0277677
+0.0266833
+0.0257344
+0.0249398
+0.0243172
+0.0238801
+0.0236388
+0.0235992
+0.023743
+0.0236623
+0.0222287
+0.0209258
+0.0197321
+0.0186361
+0.0176742
+0.0169239
+0.0163337
+0.015972
+0.0158644
+0.0158402
+0.0160269
+0.0164926
+0.0171306
+0.0179134
+0.0187292
+0.0196981
+0.0208316
+0.0220342
+0.0233659
+0.0248199
+0.0263758
+0.0280168
+0.0297286
+0.0314999
+0.0333211
+0.0351844
+0.0370778
+0.0389694
+0.0408673
+0.0427931
+0.0447433
+0.0467149
+0.0487051
+0.0507119
+0.0527334
+0.0547678
+0.0568019
+0.0588317
+0.0599345
+0.0601993
+0.0605424
+0.0609554
+0.0614352
+0.0619888
+0.0626141
+0.0633091
+0.0640427
+0.0647991
+0.0656199
+0.0664645
+0.0672483
+0.0679237
+0.0686625
+0.0692372
+0.0698277
+0.0704655
+0.0711607
+0.0719159
+0.0727293
+0.0735989
+0.0744484
+0.077267
+0.0762033
+0.0751771
+0.0742
+0.0732754
+0.0715366
+0.0694909
+0.0674544
+0.0654278
+0.0634121
+0.0614084
+0.0594179
+0.057442
+0.0554822
+0.0535404
+0.0516184
+0.0497187
+0.0478438
+0.0459969
+0.0441814
+0.0424014
+0.0406581
+0.0389519
+0.0372964
+0.0356985
+0.0341665
+0.0327095
+0.0313381
+0.0300638
+0.0288997
+0.027855
+0.0269452
+0.0261874
+0.0255952
+0.0251802
+0.0249515
+0.024914
+0.0240198
+0.0223955
+0.0208675
+0.019423
+0.0180786
+0.016903
+0.0158772
+0.0150311
+0.0143694
+0.0139614
+0.0138363
+0.0137872
+0.0139539
+0.0144432
+0.0150931
+0.0159597
+0.0168522
+0.0178736
+0.0190326
+0.020325
+0.0217615
+0.0233157
+0.0249656
+0.0266934
+0.0284849
+0.0303289
+0.0322118
+0.034086
+0.0359747
+0.0378959
+0.0398449
+0.0418179
+0.0438115
+0.0458232
+0.0478505
+0.0498917
+0.0519217
+0.0539573
+0.0559961
+0.0578933
+0.0587081
+0.0589785
+0.0593285
+0.0597569
+0.0602619
+0.0608308
+0.0614682
+0.0621763
+0.0628806
+0.0636508
+0.0644862
+0.0653844
+0.0661987
+0.0668847
+0.0675915
+0.0681457
+0.0687653
+0.0694245
+0.07013
+0.0708961
+0.0717211
+0.0724355
+0.0731599
+0.0760292
+0.0749477
+0.0739035
+0.0729093
+0.0719681
+0.071082
+0.0700328
+0.0680125
+0.066003
+0.0640055
+0.0620209
+0.0600508
+0.0580964
+0.0561594
+0.0542418
+0.0523456
+0.0504733
+0.0486239
+0.0468
+0.0450088
+0.0432545
+0.0415415
+0.0398754
+0.0382622
+0.0367089
+0.0352234
+0.0338147
+0.0324859
+0.0312518
+0.0301267
+0.0291232
+0.0282541
+0.0275324
+0.0269697
+0.0265763
+0.0263596
+0.0246671
+0.0228772
+0.0211629
+0.0195119
+0.0179599
+0.0165471
+0.0152643
+0.0141373
+0.013161
+0.0124217
+0.0119842
+0.0118062
+0.0116506
+0.0118472
+0.012382
+0.0131002
+0.0140201
+0.0149724
+0.0160528
+0.0173042
+0.0187163
+0.0202672
+0.0219276
+0.0236744
+0.0254898
+0.0273575
+0.0292077
+0.031084
+0.0329991
+0.0349466
+0.0369213
+0.0389192
+0.0409368
+0.0429713
+0.045017
+0.0470453
+0.0490876
+0.0511347
+0.0530248
+0.0549372
+0.0568509
+0.0575379
+0.0578137
+0.0581708
+0.0586076
+0.0591225
+0.0597022
+0.0603515
+0.0610551
+0.0617705
+0.0625544
+0.0634044
+0.0643109
+0.0652058
+0.0659022
+0.0665427
+0.0671055
+0.0677346
+0.0684281
+0.0691455
+0.0698778
+0.0705013
+0.071178
+0.0719151
+0.0748302
+0.0737306
+0.0726736
+0.0716624
+0.0707046
+0.0698024
+0.0689581
+0.0681737
+0.0666453
+0.0646676
+0.0627041
+0.060756
+0.0588214
+0.0569028
+0.0550044
+0.0531286
+0.0512778
+0.0494547
+0.0476626
+0.0459051
+0.0441864
+0.042511
+0.0408844
+0.0393126
+0.0378025
+0.0363617
+0.0349988
+0.0337168
+0.0325294
+0.03145
+0.0304901
+0.0296611
+0.0289744
+0.0284403
+0.0274649
+0.0256047
+0.0237293
+0.0218629
+0.0200621
+0.0183179
+0.016655
+0.0151272
+0.0137221
+0.0124535
+0.011381
+0.0105199
+0.0100395
+0.00972808
+0.00953871
+0.00977766
+0.0103406
+0.0111814
+0.0121414
+0.0131147
+0.0143166
+0.0156917
+0.0172364
+0.0189091
+0.0206788
+0.0225222
+0.0243376
+0.0261963
+0.0281029
+0.0300483
+0.0320254
+0.0340286
+0.0360536
+0.038097
+0.0401388
+0.0421741
+0.0442243
+0.0462811
+0.0481624
+0.0500688
+0.0519977
+0.0537992
+0.0554943
+0.0564283
+0.0567096
+0.0570736
+0.0575187
+0.0580375
+0.0586244
+0.0592865
+0.0599798
+0.0607008
+0.0614833
+0.0623329
+0.063247
+0.0642229
+0.0649787
+0.0655149
+0.0660866
+0.0667252
+0.0674291
+0.0680766
+0.0686496
+0.069278
+0.0699666
+0.0707163
+0.0736684
+0.0725512
+0.0714837
+0.0704611
+0.0694867
+0.0685686
+0.0677088
+0.0669098
+0.0661737
+0.0653416
+0.0633967
+0.0614684
+0.0595581
+0.0576679
+0.0557996
+0.0539556
+0.0521384
+0.050351
+0.0485965
+0.0468788
+0.045202
+0.0435691
+0.0419836
+0.0404545
+0.0389886
+0.0375861
+0.0362609
+0.0350228
+0.0338812
+0.0328462
+0.0319104
+0.0310902
+0.0304061
+0.0287002
+0.0267261
+0.0247754
+0.0228658
+0.0210028
+0.0191212
+0.0172833
+0.01551
+0.0138042
+0.0122362
+0.0108351
+0.00962231
+0.00874961
+0.0081544
+0.00771255
+0.00747228
+0.00777472
+0.00836171
+0.00927814
+0.0102599
+0.0113761
+0.0127027
+0.0142345
+0.0159212
+0.0177185
+0.0194816
+0.0213135
+0.0232077
+0.0251501
+0.0271303
+0.0291407
+0.0311754
+0.0332299
+0.0352661
+0.03731
+0.0393697
+0.0414381
+0.0433081
+0.0452069
+0.0471311
+0.0490025
+0.0507531
+0.0524551
+0.0541922
+0.0553746
+0.0556468
+0.056001
+0.0564382
+0.0569563
+0.0575524
+0.0582099
+0.0589233
+0.0596487
+0.0604448
+0.0613089
+0.0622381
+0.0632296
+0.0640348
+0.0645099
+0.065019
+0.0655974
+0.0662432
+0.0668871
+0.0674668
+0.0681032
+0.0688036
+0.069561
+0.0725541
+0.0714195
+0.0703348
+0.0693024
+0.0683155
+0.0673814
+0.0665063
+0.0656926
+0.0649427
+0.0642588
+0.0636429
+0.0620281
+0.0601357
+0.0582641
+0.0564156
+0.0545924
+0.0527971
+0.0510328
+0.0492953
+0.0475918
+0.0459296
+0.0443135
+0.0427485
+0.0412405
+0.0397961
+0.0384223
+0.037127
+0.0359187
+0.0348065
+0.0337817
+0.0328624
+0.0320666
+0.0300878
+0.0280442
+0.0260246
+0.0240235
+0.0220487
+0.0201157
+0.0182382
+0.0163907
+0.0144734
+0.0126413
+0.0109146
+0.00937533
+0.00798096
+0.00690256
+0.00610123
+0.00565154
+0.00550283
+0.00578338
+0.00651971
+0.00739113
+0.00843085
+0.00966299
+0.0111823
+0.0128962
+0.0146541
+0.0164401
+0.0183143
+0.020252
+0.0222368
+0.024257
+0.0263046
+0.0283677
+0.0304018
+0.0324563
+0.0345275
+0.0366099
+0.0384651
+0.0403539
+0.0422719
+0.044144
+0.0459798
+0.0477137
+0.0494233
+0.0511695
+0.0529489
+0.0542969
+0.0545721
+0.0549333
+0.0553788
+0.0559068
+0.0565143
+0.0571841
+0.0579101
+0.058648
+0.0594575
+0.0603357
+0.0612797
+0.0622373
+0.0628875
+0.0633339
+0.0638524
+0.0644413
+0.0650985
+0.065749
+0.0663323
+0.0669742
+0.0676711
+0.068431
+0.0714897
+0.0703378
+0.0692362
+0.0681871
+0.0671932
+0.0662454
+0.0653551
+0.0645269
+0.0637633
+0.0630666
+0.062439
+0.0618826
+0.0607866
+0.0589269
+0.0570907
+0.0552803
+0.0534983
+0.0517477
+0.0500318
+0.0483543
+0.0467193
+0.0451314
+0.0435958
+0.0421181
+0.0407048
+0.0393628
+0.0380995
+0.036923
+0.0358236
+0.034801
+0.033804
+0.0316973
+0.0296027
+0.0275232
+0.0254622
+0.0234249
+0.0214178
+0.0194305
+0.0174796
+0.0155062
+0.0135702
+0.0116366
+0.00978213
+0.00803293
+0.00643056
+0.00513823
+0.0041866
+0.00361498
+0.00350834
+0.00378784
+0.0046158
+0.00550923
+0.00664827
+0.00814074
+0.00989648
+0.0115879
+0.0134245
+0.0153543
+0.0173461
+0.0193809
+0.0214465
+0.023505
+0.0255506
+0.0276184
+0.0297039
+0.0317176
+0.0336381
+0.0355134
+0.0374231
+0.0392955
+0.0411143
+0.0429678
+0.0446823
+0.0464002
+0.0481564
+0.049947
+0.0517683
+0.0532754
+0.0535654
+0.0539334
+0.0543871
+0.0549246
+0.0555432
+0.0562249
+0.0569631
+0.0577131
+0.0585356
+0.0594072
+0.0603041
+0.0612664
+0.0617533
+0.0622079
+0.0627357
+0.0633349
+0.0640036
+0.0646556
+0.0652302
+0.0658727
+0.0665811
+0.0673533
+0.0704731
+0.0693049
+0.068187
+0.067122
+0.0661125
+0.0651558
+0.0642553
+0.0634155
+0.0626383
+0.0619289
+0.0612897
+0.0607228
+0.0602302
+0.059625
+0.0578109
+0.0560238
+0.0542662
+0.0525412
+0.0508521
+0.0492026
+0.0475967
+0.0460391
+0.0445348
+0.0430894
+0.0416933
+0.0403211
+0.0390209
+0.0377996
+0.0366685
+0.0356226
+0.0335165
+0.0313904
+0.029274
+0.0271692
+0.0250793
+0.023008
+0.0209611
+0.0189463
+0.0168814
+0.0148016
+0.0127588
+0.0107696
+0.00885079
+0.00701204
+0.00517486
+0.00355912
+0.00240164
+0.00167689
+0.00148919
+0.00187329
+0.00274892
+0.00372456
+0.00516342
+0.00680246
+0.00854487
+0.0104573
+0.0124616
+0.0145199
+0.0166121
+0.0186611
+0.0207217
+0.0228065
+0.0248993
+0.0268573
+0.0288353
+0.0306914
+0.032589
+0.0344612
+0.0362578
+0.0380956
+0.039969
+0.0416608
+0.0433877
+0.0451548
+0.0469576
+0.0487922
+0.0506551
+0.0523185
+0.0526217
+0.0530052
+0.0534669
+0.0540135
+0.0546425
+0.0553197
+0.0560207
+0.0567975
+0.0576291
+0.0584713
+0.0593824
+0.0602794
+0.0606771
+0.0611397
+0.0616767
+0.0622861
+0.0629634
+0.0635893
+0.0641735
+0.0648265
+0.0655391
+0.0663095
+0.0695016
+0.0683167
+0.0671824
+0.0661012
+0.0650758
+0.0641037
+0.0631882
+0.0623364
+0.0615465
+0.0608244
+0.0601734
+0.0595958
+0.0590939
+0.0586696
+0.0583245
+0.056842
+0.0551106
+0.0534129
+0.0517522
+0.0501194
+0.0485021
+0.0469313
+0.0454106
+0.0439307
+0.0425122
+0.0411615
+0.0398854
+0.0386914
+0.037574
+0.035492
+0.0333505
+0.0312158
+0.0290895
+0.0269735
+0.0248704
+0.0227625
+0.0206439
+0.0185349
+0.0164011
+0.0142772
+0.0121757
+0.010112
+0.00811529
+0.00610544
+0.00416979
+0.00231805
+0.000776478
+-0.000163468
+-0.000507494
+-3.55881e-05
+0.000864766
+0.00221695
+0.00371524
+0.00556293
+0.00759523
+0.00969675
+0.0118162
+0.0138556
+0.0159352
+0.0180353
+0.0200616
+0.0220139
+0.0240074
+0.025898
+0.0277776
+0.029648
+0.0314143
+0.0332312
+0.0350908
+0.0369629
+0.0386514
+0.0403881
+0.0421671
+0.0439833
+0.0458323
+0.0477101
+0.0496137
+0.0512365
+0.0517456
+0.0521442
+0.0526218
+0.0531771
+0.0537947
+0.0544292
+0.0551435
+0.0559345
+0.0567443
+0.0575994
+0.0585241
+0.059266
+0.059661
+0.0601314
+0.0606772
+0.0612966
+0.0619789
+0.062576
+0.0631695
+0.0638199
+0.0645365
+0.0653186
+0.0685285
+0.0673853
+0.066235
+0.0651381
+0.0640973
+0.0631101
+0.06218
+0.0613141
+0.0605109
+0.0597763
+0.0591138
+0.0585258
+0.0580146
+0.0575823
+0.0572307
+0.0569523
+0.0559425
+0.0542335
+0.0525602
+0.0509262
+0.0493272
+0.0477677
+0.0462595
+0.0448076
+0.0434178
+0.0420961
+0.0408493
+0.0396717
+0.0376124
+0.0354636
+0.0333203
+0.0311836
+0.0290549
+0.0269072
+0.0247581
+0.0226036
+0.0204311
+0.0182629
+0.0161008
+0.0139477
+0.0118083
+0.00969192
+0.00755314
+0.00543366
+0.0034055
+0.00148175
+-0.00039762
+-0.00191028
+-0.0024854
+-0.00185361
+-0.000679702
+0.000707678
+0.00281345
+0.00497411
+0.00705722
+0.00910889
+0.0112133
+0.0133282
+0.0152469
+0.0172017
+0.0191949
+0.0211096
+0.0229611
+0.0248647
+0.0265909
+0.0283784
+0.030219
+0.032091
+0.0339483
+0.0356572
+0.0374046
+0.0391966
+0.0410273
+0.0428918
+0.0447858
+0.0467058
+0.0486487
+0.0500371
+0.0509427
+0.0513475
+0.0518419
+0.0523895
+0.0529503
+0.0535948
+0.0543201
+0.0551229
+0.0559273
+0.0567947
+0.0577323
+0.0583033
+0.0587029
+0.0591809
+0.0597355
+0.0603645
+0.0610572
+0.061618
+0.0622075
+0.0628662
+0.0635934
+0.0643871
+0.0675229
+0.0663851
+0.0652884
+0.0642353
+0.0631797
+0.0621779
+0.0612336
+0.0603542
+0.059538
+0.0587912
+0.0581175
+0.0575193
+0.0569991
+0.056559
+0.056201
+0.0559174
+0.0557111
+0.0550533
+0.0533917
+0.0517695
+0.0501904
+0.0486588
+0.0471792
+0.0457567
+0.0443967
+0.0431053
+0.0418886
+0.0398504
+0.0376763
+0.0355029
+0.03333
+0.0311594
+0.0289917
+0.0268279
+0.0246688
+0.0225157
+0.0203439
+0.0181653
+0.01599
+0.0138196
+0.0116567
+0.00950253
+0.0073267
+0.00515254
+0.00299963
+0.000884823
+-0.00119234
+-0.00326549
+-0.00437447
+-0.00368566
+-0.00155418
+0.000248407
+0.00221695
+0.00435506
+0.00652196
+0.00864094
+0.0105021
+0.0124571
+0.0144405
+0.0163349
+0.0181446
+0.0200305
+0.0218012
+0.0235447
+0.0253576
+0.0272262
+0.0290779
+0.0308947
+0.0326824
+0.0344414
+0.0362475
+0.0380939
+0.0399752
+0.0418865
+0.043824
+0.0457812
+0.0475228
+0.0489058
+0.0501916
+0.0505981
+0.0510452
+0.0515425
+0.0521124
+0.0527672
+0.0535037
+0.0542992
+0.0551052
+0.0559854
+0.0569363
+0.0574062
+0.057812
+0.0582973
+0.0588602
+0.0594985
+0.0601861
+0.0607106
+0.061307
+0.0619752
+0.0627128
+0.0635175
+0.0665573
+0.0654042
+0.0643051
+0.0632629
+0.0622654
+0.0613091
+0.0603519
+0.0594594
+0.0586308
+0.0578723
+0.0571878
+0.0565798
+0.0560508
+0.0556033
+0.055239
+0.0549505
+0.0547405
+0.0544929
+0.0539782
+0.0526802
+0.0511293
+0.0496266
+0.0481768
+0.0467846
+0.0454554
+0.044188
+0.0420099
+0.0398331
+0.0376579
+0.0354834
+0.0333093
+0.0311372
+0.0289679
+0.0268021
+0.0246407
+0.022485
+0.0203368
+0.0181987
+0.0160747
+0.0139488
+0.0118033
+0.00967793
+0.00751823
+0.00533488
+0.00315489
+0.000978408
+-0.00119304
+-0.00329144
+-0.00486171
+-0.00376178
+-0.00159327
+0.000532459
+0.00199976
+0.00405538
+0.00600938
+0.00788307
+0.00982309
+0.0116632
+0.0133877
+0.0152325
+0.0170056
+0.0187446
+0.0205139
+0.022358
+0.0242047
+0.026054
+0.0278509
+0.0296983
+0.0315041
+0.0333254
+0.0351888
+0.037088
+0.0390178
+0.0409738
+0.0429417
+0.0449268
+0.0463791
+0.0478172
+0.0492915
+0.049845
+0.0502772
+0.0507669
+0.0513454
+0.0520098
+0.052746
+0.0535058
+0.0543235
+0.0552162
+0.0561801
+0.0565798
+0.0569914
+0.0574837
+0.0580544
+0.0587015
+0.0593377
+0.0598677
+0.0604725
+0.0611497
+0.0618972
+0.0627085
+0.0656505
+0.0644812
+0.0633662
+0.0623082
+0.061307
+0.0603554
+0.059455
+0.0586227
+0.0577925
+0.0570228
+0.0563279
+0.0557106
+0.0551733
+0.0547186
+0.0543484
+0.0540551
+0.0538416
+0.0537167
+0.0533107
+0.0528754
+0.0521433
+0.0506708
+0.0492516
+0.0478907
+0.0464558
+0.0442809
+0.0421075
+0.0399361
+0.0377669
+0.035599
+0.0334324
+0.0312689
+0.0291094
+0.0269547
+0.02478
+0.0226084
+0.0204408
+0.0182788
+0.0161246
+0.0139771
+0.0118267
+0.00963691
+0.00744762
+0.0052595
+0.003075
+0.000919937
+-0.00105183
+-0.00263743
+-0.00332074
+-0.00317092
+-0.00172297
+-0.000158581
+0.00173235
+0.00341805
+0.00528755
+0.00709441
+0.0086658
+0.0104462
+0.0122808
+0.0139373
+0.0157042
+0.0175067
+0.0193443
+0.0212014
+0.0229986
+0.0248205
+0.0266978
+0.0286008
+0.0304381
+0.0323195
+0.0342377
+0.0361869
+0.038158
+0.0401405
+0.0421287
+0.0438941
+0.0453052
+0.0467763
+0.048302
+0.0491748
+0.0495786
+0.0500751
+0.0506615
+0.0513236
+0.052027
+0.0527866
+0.0536153
+0.0545196
+0.0554684
+0.0558271
+0.0562442
+0.056743
+0.0573211
+0.0579763
+0.0585571
+0.0590941
+0.0597067
+0.0603925
+0.0611453
+0.0619554
+0.0648051
+0.0636203
+0.0624899
+0.0614168
+0.0604007
+0.0594421
+0.0585324
+0.0576867
+0.0569129
+0.0562138
+0.0555413
+0.0549151
+0.05437
+0.0539084
+0.0535326
+0.0532349
+0.0530114
+0.052867
+0.0527259
+0.0522857
+0.0519343
+0.0516618
+0.0503988
+0.048815
+0.0466472
+0.0444816
+0.0423186
+0.0401585
+0.0379927
+0.0358183
+0.033646
+0.0314762
+0.0293095
+0.0271467
+0.0249887
+0.022837
+0.0206934
+0.018528
+0.0163551
+0.0141877
+0.0120288
+0.00988385
+0.00775953
+0.00561621
+0.00352971
+0.00164062
+0.000396702
+-0.0012464
+-0.00212265
+-0.00240483
+-0.0018072
+-0.00079951
+0.000785481
+0.00259401
+0.00402522
+0.00559908
+0.00746817
+0.00920173
+0.010886
+0.0126919
+0.0145076
+0.0163286
+0.0181655
+0.0199529
+0.0218091
+0.0237136
+0.025657
+0.0275966
+0.0294966
+0.0314344
+0.0334034
+0.035385
+0.0373647
+0.0392596
+0.0411838
+0.0428257
+0.0443135
+0.0458165
+0.0473732
+0.0485593
+0.0489682
+0.0494708
+0.0500527
+0.0506792
+0.0513834
+0.0521424
+0.0529813
+0.0538962
+0.0547711
+0.0551512
+0.0555734
+0.0560781
+0.0566631
+0.0573258
+0.0578489
+0.0583924
+0.0590123
+0.0597021
+0.0604521
+0.0612713
+0.0640236
+0.0628241
+0.061679
+0.0605916
+0.0595612
+0.0585889
+0.0576659
+0.0568073
+0.0560213
+0.055311
+0.0546792
+0.0541238
+0.0536399
+0.0531762
+0.0527952
+0.0524689
+0.0522311
+0.0520845
+0.0520298
+0.051782
+0.0514271
+0.051152
+0.0509631
+0.0490907
+0.0469192
+0.0447495
+0.042582
+0.040417
+0.0382549
+0.0360962
+0.0339417
+0.0317921
+0.0296485
+0.0275113
+0.0253512
+0.0231968
+0.0210499
+0.0189131
+0.0167819
+0.0146478
+0.0125333
+0.0104501
+0.00842176
+0.00645931
+0.00461882
+0.00276396
+0.00125095
+-6.10337e-05
+-0.000874294
+-0.0015567
+-0.0016978
+-0.000333929
+0.000273893
+0.000978966
+0.00260733
+0.00456882
+0.00614187
+0.00787134
+0.00972475
+0.0114685
+0.0133397
+0.0151039
+0.0169261
+0.0188206
+0.0207602
+0.0227452
+0.0247427
+0.0266851
+0.0286633
+0.0306653
+0.0325827
+0.0344911
+0.036428
+0.0383643
+0.0400016
+0.0416559
+0.0433555
+0.0449431
+0.046529
+0.0480359
+0.0484491
+0.0489452
+0.0494889
+0.0501223
+0.050816
+0.0515834
+0.0524312
+0.0533555
+0.0541536
+0.0545466
+0.0549818
+0.0554918
+0.0560829
+0.0567457
+0.0572159
+0.0577654
+0.0583877
+0.0590732
+0.0598311
+0.0606587
+0.0632902
+0.0620914
+0.0609362
+0.0598352
+0.0587915
+0.0578062
+0.0568706
+0.0559999
+0.0552024
+0.0544813
+0.0538398
+0.0532807
+0.0528016
+0.0523971
+0.0520817
+0.0517732
+0.0515322
+0.0513836
+0.0513281
+0.0513463
+0.0510012
+0.0507317
+0.0505413
+0.0493911
+0.0472334
+0.0450789
+0.042928
+0.0407813
+0.0386396
+0.0365037
+0.0343663
+0.0322189
+0.0300778
+0.0279444
+0.0258111
+0.0236801
+0.021561
+0.0194578
+0.0173763
+0.0153252
+0.013318
+0.0113456
+0.00938392
+0.00741571
+0.00555034
+0.00396415
+0.00279886
+0.00130677
+0.000359623
+-0.00106545
+-0.00102954
+-0.00201386
+-0.00122291
+-9.64973e-05
+0.0017566
+0.00315748
+0.00495966
+0.00666211
+0.00847005
+0.0102926
+0.0120557
+0.0139296
+0.0158633
+0.0178556
+0.0198895
+0.0218456
+0.0238228
+0.0258269
+0.0278369
+0.0297271
+0.031656
+0.033617
+0.0355303
+0.0372212
+0.0388695
+0.0405668
+0.0423095
+0.0440922
+0.0457699
+0.0473822
+0.0479942
+0.0484675
+0.0490165
+0.0496476
+0.0503376
+0.0511122
+0.0519677
+0.0527254
+0.0534222
+0.0540154
+0.0544719
+0.0549867
+0.0555831
+0.0561858
+0.0566606
+0.057211
+0.0578276
+0.0585196
+0.0592846
+0.0601197
+0.0626134
+0.0614014
+0.0602448
+0.0591378
+0.0580854
+0.0570967
+0.0561496
+0.0552675
+0.0544593
+0.0537283
+0.0530777
+0.0525105
+0.0520294
+0.0516316
+0.0513115
+0.0510834
+0.0509103
+0.0507598
+0.0507037
+0.0507421
+0.0506517
+0.0503887
+0.0502116
+0.0497862
+0.0476464
+0.0455114
+0.043382
+0.0412456
+0.0391078
+0.0369762
+0.034842
+0.0327124
+0.0305915
+0.0284812
+0.026384
+0.0243032
+0.0222436
+0.0202115
+0.0182092
+0.0162392
+0.0142271
+0.0122271
+0.0102943
+0.00848779
+0.00686635
+0.00542601
+0.00401761
+0.00260945
+0.00137227
+9.16325e-05
+-0.00105439
+-0.00243209
+-0.00206812
+-0.0010374
+0.00057461
+0.00197802
+0.00365965
+0.00555168
+0.00721599
+0.00903928
+0.0109666
+0.0129717
+0.0150232
+0.01704
+0.0190112
+0.0210103
+0.0229703
+0.0249352
+0.0269252
+0.0288751
+0.0308573
+0.0327441
+0.0344739
+0.036133
+0.0378263
+0.0395684
+0.0413532
+0.0431754
+0.0450305
+0.0467333
+0.0476079
+0.048085
+0.0486383
+0.0492554
+0.0499508
+0.0507313
+0.0514268
+0.0520591
+0.0527647
+0.0535507
+0.054046
+0.0545648
+0.0551658
+0.0557064
+0.0561808
+0.0567239
+0.0573457
+0.0580435
+0.0588147
+0.0596564
+0.0620048
+0.0607807
+0.059612
+0.0584996
+0.0574462
+0.0564499
+0.0555043
+0.0546133
+0.0537952
+0.053055
+0.0523961
+0.0518214
+0.0513339
+0.0509355
+0.050611
+0.0503797
+0.050243
+0.0502016
+0.0501565
+0.0501954
+0.0503297
+0.0501307
+0.0499611
+0.0498788
+0.0481387
+0.046008
+0.0438735
+0.0417448
+0.0396229
+0.0375089
+0.0354043
+0.0333107
+0.0312304
+0.0291664
+0.0271221
+0.0251027
+0.0231033
+0.0211055
+0.0190831
+0.0170838
+0.015137
+0.0132666
+0.0115098
+0.00986791
+0.00826616
+0.00682071
+0.00523217
+0.00369878
+0.00208371
+0.00066635
+-0.00101454
+-0.00249926
+-0.00329738
+-0.00241377
+-0.000927967
+0.000845511
+0.00246426
+0.00416428
+0.006072
+0.00810381
+0.0101856
+0.012244
+0.0141631
+0.0161439
+0.0181065
+0.0200693
+0.022075
+0.0241129
+0.0261479
+0.0280394
+0.0299717
+0.0317595
+0.0334597
+0.0351452
+0.0368838
+0.0386685
+0.040493
+0.0423522
+0.0442418
+0.046158
+0.047303
+0.0477649
+0.0483219
+0.0489582
+0.0496577
+0.0502727
+0.0508327
+0.0514718
+0.0521854
+0.05298
+0.0536976
+0.0542282
+0.0548293
+0.0553051
+0.0557708
+0.0563179
+0.0569441
+0.0576468
+0.0584232
+0.0592705
+0.0614609
+0.0602257
+0.059046
+0.0579252
+0.0568666
+0.0558636
+0.0549065
+0.0540212
+0.0532115
+0.0524647
+0.0517982
+0.0512169
+0.0507235
+0.0503203
+0.0499918
+0.0497576
+0.0496192
+0.0495773
+0.0496321
+0.0497392
+0.0498748
+0.0499329
+0.0497973
+0.0497232
+0.0486547
+0.0465385
+0.0444295
+0.0423288
+0.0402377
+0.0381578
+0.036091
+0.0340396
+0.0320068
+0.0299952
+0.0279988
+0.0259712
+0.0239524
+0.0219591
+0.020007
+0.0181095
+0.0162859
+0.0145638
+0.0128475
+0.0112434
+0.00963259
+0.00784294
+0.00608124
+0.00429511
+0.00252278
+0.00064019
+-0.000899021
+-0.00225527
+-0.00377633
+-0.0036224
+-0.00206919
+-0.000463463
+0.00120957
+0.00330999
+0.00542441
+0.00739442
+0.00927462
+0.0112629
+0.0132683
+0.0152244
+0.017237
+0.0192885
+0.0213676
+0.0233104
+0.0252245
+0.0271748
+0.0291217
+0.0308658
+0.0325383
+0.0342691
+0.0360501
+0.037874
+0.039735
+0.0416281
+0.0435491
+0.0454945
+0.0470758
+0.0475399
+0.0480994
+0.0486754
+0.0492403
+0.0496969
+0.0502449
+0.0508814
+0.0516031
+0.0524065
+0.053288
+0.0539786
+0.0545749
+0.0549759
+0.0554444
+0.0559947
+0.0566244
+0.057331
+0.0581117
+0.0589634
+0.0609792
+0.0597459
+0.0585566
+0.0574262
+0.0563583
+0.0553564
+0.0543904
+0.0534966
+0.0526788
+0.0519406
+0.0512846
+0.0506998
+0.0502014
+0.049794
+0.049462
+0.0492253
+0.0490854
+0.049043
+0.0490984
+0.0492513
+0.0495008
+0.0497454
+0.0496949
+0.0496554
+0.0492542
+0.0471649
+0.0450852
+0.0430165
+0.0409605
+0.0389193
+0.0368951
+0.0348868
+0.032874
+0.0308465
+0.0288314
+0.0268428
+0.0248881
+0.0229761
+0.0211182
+0.0193301
+0.0176005
+0.0158725
+0.0142721
+0.0124182
+0.0105804
+0.00866182
+0.00683327
+0.00485484
+0.0029175
+0.00127053
+-0.000266983
+-0.00216807
+-0.00422617
+-0.00512085
+-0.00326762
+-0.00132348
+0.000620084
+0.00249351
+0.0043928
+0.00640658
+0.00846104
+0.0104297
+0.0124464
+0.0145137
+0.016595
+0.0185297
+0.0205159
+0.0224709
+0.0244348
+0.0264342
+0.0283339
+0.0300248
+0.0317415
+0.0335136
+0.0353326
+0.0371918
+0.0390853
+0.0410084
+0.0429571
+0.0449281
+0.0469187
+0.0473945
+0.0478605
+0.0483549
+0.0487214
+0.0491827
+0.0497364
+0.0503794
+0.0511082
+0.0519192
+0.0528088
+0.053773
+0.0543416
+0.054729
+0.0551995
+0.0557522
+0.0563847
+0.0570943
+0.0578781
+0.0587332
+0.0605636
+0.0593216
+0.0581318
+0.0570013
+0.0559312
+0.0549217
+0.0539583
+0.0530573
+0.0522326
+0.051488
+0.0508262
+0.0502448
+0.0497532
+0.049354
+0.0490244
+0.0487856
+0.0486444
+0.0486016
+0.0486576
+0.0488119
+0.0490636
+0.0493939
+0.0496725
+0.0496495
+0.0497065
+0.0478834
+0.0458363
+0.0438031
+0.0417859
+0.0397802
+0.0377484
+0.0357252
+0.0337161
+0.0317311
+0.029775
+0.0278538
+0.0259753
+0.0241495
+0.0223892
+0.0206265
+0.0189212
+0.0171727
+0.0152847
+0.0133571
+0.0114872
+0.00959074
+0.00758435
+0.00571495
+0.0040521
+0.0020019
+0.000105185
+-0.00186057
+-0.00383573
+-0.00593227
+-0.00427065
+-0.00237122
+-0.000441449
+0.00152966
+0.00362281
+0.00566065
+0.00777804
+0.00986112
+0.0118909
+0.0138075
+0.0157799
+0.0178034
+0.0198072
+0.0217909
+0.0238109
+0.0258437
+0.0276111
+0.0293055
+0.031062
+0.0328707
+0.0347234
+0.0366135
+0.0385354
+0.0404847
+0.0424575
+0.0444507
+0.0464615
+0.0472352
+0.0476549
+0.0479266
+0.0482963
+0.0487617
+0.0493201
+0.0499684
+0.0507031
+0.0515206
+0.0524169
+0.0533881
+0.054168
+0.0545555
+0.0550275
+0.0555819
+0.0562163
+0.056928
+0.0577141
+0.0585716
+0.0602248
+0.0589757
+0.0577787
+0.0566412
+0.0555669
+0.0545593
+0.0536067
+0.0526997
+0.0518693
+0.0511195
+0.0504536
+0.0498732
+0.0493778
+0.0489756
+0.0486687
+0.0484411
+0.0482989
+0.0482558
+0.0483121
+0.0484675
+0.048721
+0.0490536
+0.0494797
+0.0497237
+0.0497971
+0.0486899
+0.0466771
+0.0446577
+0.0426282
+0.0406079
+0.0386043
+0.0366222
+0.0346651
+0.0327377
+0.0308455
+0.0289953
+0.0271958
+0.0254354
+0.0236711
+0.0219837
+0.0200785
+0.0181581
+0.0162504
+0.0143984
+0.0124308
+0.0105103
+0.00871813
+0.00688192
+0.00482559
+0.00269838
+0.000575977
+-0.00141302
+-0.00339731
+-0.00531148
+-0.00443193
+-0.00283406
+-0.000882122
+0.00104219
+0.00308487
+0.00522394
+0.00733055
+0.00925845
+0.0111848
+0.0131853
+0.015229
+0.0172778
+0.0192653
+0.0212927
+0.0232874
+0.0252187
+0.0269835
+0.0287283
+0.0305181
+0.0323572
+0.0342377
+0.0361532
+0.0380983
+0.0400688
+0.0420611
+0.0440723
+0.0460997
+0.0471472
+0.0473217
+0.0475954
+0.0479676
+0.0484362
+0.0489983
+0.0496508
+0.0503902
+0.0512126
+0.0521142
+0.053082
+0.0540815
+0.0544696
+0.0549423
+0.0554976
+0.056133
+0.0568457
+0.0576329
+0.0584916
+0.0599566
+0.0587015
+0.0575024
+0.056363
+0.0552843
+0.0542715
+0.0533295
+0.0524252
+0.0515905
+0.0508365
+0.0501669
+0.0495851
+0.0490943
+0.0486928
+0.0483842
+0.0481732
+0.0480508
+0.0480075
+0.0480642
+0.0482204
+0.0484751
+0.0488094
+0.0492376
+0.0497442
+0.0499673
+0.0495352
+0.04751
+0.045494
+0.0434948
+0.041515
+0.0395574
+0.0376255
+0.0357235
+0.0338564
+0.0320303
+0.0302526
+0.0284714
+0.026728
+0.0249123
+0.0230003
+0.0210755
+0.0192058
+0.0173066
+0.0153708
+0.0135132
+0.0116476
+0.00961251
+0.00756818
+0.00543103
+0.00336352
+0.00146191
+-0.000388784
+-0.00236502
+-0.00411991
+-0.00354743
+-0.00215681
+-0.000610555
+0.00110551
+0.0029765
+0.00497168
+0.0069544
+0.00882467
+0.0107986
+0.012843
+0.0148631
+0.0168506
+0.0188831
+0.0208588
+0.0228437
+0.0246417
+0.0264633
+0.0283091
+0.030124
+0.0319858
+0.0338869
+0.0358211
+0.0377834
+0.0397695
+0.0417761
+0.0438003
+0.0458397
+0.0469058
+0.04708
+0.0473551
+0.0477292
+0.0482001
+0.0487649
+0.0494205
+0.0501632
+0.0509894
+0.0518931
+0.0528564
+0.0538915
+0.0544717
+0.0549445
+0.0554997
+0.056135
+0.0568477
+0.0576349
+0.0584936
+0.0597378
+0.0584958
+0.0572969
+0.0561534
+0.0550733
+0.0540604
+0.0531132
+0.0522154
+0.0513953
+0.0506467
+0.0499746
+0.0493906
+0.0488978
+0.048499
+0.0481967
+0.0479859
+0.0478735
+0.0478545
+0.0479113
+0.048068
+0.0483236
+0.0486627
+0.0490921
+0.0496002
+0.0501946
+0.0503825
+0.0483869
+0.046409
+0.044451
+0.0425157
+0.0406064
+0.0387268
+0.0368817
+0.0350763
+0.0333004
+0.0315196
+0.0297673
+0.0278622
+0.0259281
+0.0240381
+0.0221672
+0.0202497
+0.0183629
+0.0164923
+0.0144622
+0.0123523
+0.0102763
+0.00825967
+0.00633021
+0.00449205
+0.00248927
+0.00056695
+-0.00112956
+-0.0026586
+-0.00253619
+-0.00131131
+8.42945e-05
+0.00166222
+0.00328437
+0.00504552
+0.00690019
+0.00880454
+0.0107542
+0.0127006
+0.0146838
+0.0166717
+0.0185875
+0.0205583
+0.0224379
+0.0242351
+0.0260852
+0.0279845
+0.0298856
+0.0317614
+0.0336752
+0.035621
+0.0375937
+0.0395893
+0.0416046
+0.0436367
+0.0456835
+0.0467531
+0.0469279
+0.0472039
+0.0475792
+0.0480515
+0.0486181
+0.0492756
+0.0500205
+0.0508489
+0.0517551
+0.0527209
+0.0537587
+0.0545619
+0.0550339
+0.0555882
+0.0562225
+0.0569341
+0.0577201
+0.0585776
+0.0595895
+0.0583466
+0.0571583
+0.0560165
+0.0549381
+0.0539272
+0.0529814
+0.0520813
+0.0512591
+0.0505185
+0.0498601
+0.0492799
+0.0487913
+0.0483969
+0.0480964
+0.0478918
+0.0477855
+0.0477733
+0.0478428
+0.0479997
+0.0482556
+0.0486091
+0.0490442
+0.0495528
+0.0501477
+0.0507577
+0.0493456
+0.0474076
+0.0454926
+0.0436036
+0.0417441
+0.0399181
+0.0381307
+0.0363396
+0.0345766
+0.0327267
+0.0307953
+0.0288915
+0.0270133
+0.0251362
+0.0232332
+0.0213275
+0.019278
+0.0172009
+0.0151558
+0.0131576
+0.0112165
+0.0093732
+0.00736549
+0.00543904
+0.0035693
+0.00187818
+0.000235104
+-0.00112122
+-0.00144551
+-0.000386735
+0.000867712
+0.00226861
+0.00385284
+0.00548704
+0.0071784
+0.00898118
+0.0108887
+0.0127706
+0.0146689
+0.0165632
+0.0184255
+0.0203533
+0.0222077
+0.0240223
+0.0258876
+0.0278004
+0.0297516
+0.0316873
+0.0336053
+0.0355549
+0.0375311
+0.0395299
+0.041548
+0.0435828
+0.045559
+0.0466939
+0.0468778
+0.047154
+0.0475297
+0.0480026
+0.0485697
+0.0492279
+0.0499735
+0.0508027
+0.0517097
+0.0526763
+0.0537149
+0.0547397
+0.0552101
+0.0557627
+0.0563951
+0.0571045
+0.0578882
+0.0587432
+0.0595215
+0.0582771
+0.0570897
+0.0559605
+0.0548812
+0.0538693
+0.0529287
+0.0520392
+0.0512163
+0.0504751
+0.0498193
+0.0492522
+0.0487653
+0.0483708
+0.0480705
+0.0478658
+0.0477608
+0.0477561
+0.04785
+0.0480313
+0.0482871
+0.0486403
+0.0490788
+0.0496015
+0.0501965
+0.0508784
+0.0503813
+0.0484848
+0.046614
+0.0447723
+0.0429634
+0.0411782
+0.0393881
+0.0375943
+0.035671
+0.0337579
+0.0318754
+0.0300039
+0.0281132
+0.0261862
+0.0241271
+0.0220714
+0.0200444
+0.0180556
+0.0161102
+0.0142264
+0.0122585
+0.0103154
+0.00838564
+0.00661969
+0.00478098
+0.00314345
+0.00172773
+0.000545422
+-6.12995e-05
+0.000699231
+0.00183007
+0.00307997
+0.0044917
+0.0060107
+0.00764435
+0.00936769
+0.0112106
+0.0129434
+0.0146421
+0.0164302
+0.018306
+0.0202452
+0.0221925
+0.0240083
+0.0258746
+0.0277883
+0.0297403
+0.0317102
+0.0336634
+0.0356237
+0.0375962
+0.0395917
+0.0416069
+0.0436322
+0.044998
+0.0463726
+0.046921
+0.0472059
+0.0475812
+0.0480535
+0.0486201
+0.0492776
+0.0500224
+0.0508508
+0.051757
+0.0527228
+0.0537605
+0.0548661
+0.0554724
+0.0560224
+0.0566519
+0.0573581
+0.0581384
+0.0589897
+0.0595341
+0.05829
+0.0571028
+0.0559762
+0.0549035
+0.0538919
+0.0529517
+0.0520867
+0.0512671
+0.0505267
+0.0498715
+0.0493051
+0.0488305
+0.0484438
+0.048144
+0.0479396
+0.0478347
+0.0478301
+0.0479238
+0.0481062
+0.0483873
+0.0487653
+0.0492074
+0.0497287
+0.0503349
+0.0510149
+0.0507881
+0.0496353
+0.0478096
+0.0460158
+0.0442187
+0.0424437
+0.0405523
+0.0386324
+0.0367428
+0.0348619
+0.0329987
+0.0310538
+0.0289927
+0.026952
+0.0249368
+0.0229538
+0.0210062
+0.0191027
+0.0171547
+0.0152047
+0.0132623
+0.0114002
+0.00953142
+0.00775973
+0.00618086
+0.00461173
+0.00330935
+0.00217133
+0.00155637
+0.00192004
+0.00296186
+0.00410833
+0.00535072
+0.00673254
+0.0082209
+0.00981942
+0.0114702
+0.0131012
+0.014819
+0.016588
+0.0184478
+0.0203734
+0.0223303
+0.0241298
+0.0259554
+0.0278303
+0.0297345
+0.0316753
+0.0336305
+0.0356131
+0.0376187
+0.0396393
+0.0416069
+0.0431144
+0.0444964
+0.0458749
+0.046843
+0.0471588
+0.0475652
+0.0480678
+0.0486639
+0.0493471
+0.0501094
+0.0509546
+0.0518786
+0.05286
+0.0538951
+0.054998
+0.0558195
+0.0563661
+0.0569917
+0.0576938
+0.0584696
+0.0593162
+0.0595995
+0.0583568
+0.057171
+0.0560458
+0.0549849
+0.0539921
+0.0530564
+0.0521931
+0.0514088
+0.050673
+0.0500198
+0.0494551
+0.0489819
+0.048603
+0.0483111
+0.0481074
+0.048003
+0.0479983
+0.0480936
+0.0482792
+0.0485592
+0.0489358
+0.0494068
+0.0499517
+0.0505553
+0.0512324
+0.0508765
+0.0503347
+0.0490628
+0.0472667
+0.0454372
+0.0435123
+0.0416137
+0.0397299
+0.0378663
+0.0359163
+0.0338677
+0.031838
+0.0298311
+0.0278519
+0.0259031
+0.0239881
+0.0220519
+0.0200613
+0.0181157
+0.0162034
+0.0143628
+0.0125275
+0.0107545
+0.00908962
+0.00758141
+0.00613792
+0.00485522
+0.00388955
+0.00321526
+0.00328612
+0.00406984
+0.00523694
+0.00643948
+0.0076962
+0.00902878
+0.0104545
+0.0120142
+0.0136038
+0.0153105
+0.0170285
+0.0188449
+0.020671
+0.0224651
+0.0242426
+0.0260831
+0.0279591
+0.0298552
+0.0317725
+0.0337231
+0.0357012
+0.0376949
+0.0391917
+0.0404077
+0.0417035
+0.0430522
+0.0444452
+0.0459004
+0.0471193
+0.0475257
+0.0480287
+0.0486253
+0.0493089
+0.0500718
+0.0509176
+0.0518422
+0.0528416
+0.0538991
+0.0550188
+0.0562016
+0.0567923
+0.0574133
+0.0581103
+0.0588806
+0.0597214
+0.0597418
+0.0585021
+0.0573193
+0.0561971
+0.0551391
+0.0541491
+0.0532309
+0.0523882
+0.0516097
+0.0509072
+0.050257
+0.049695
+0.0492242
+0.0488471
+0.0485661
+0.0483698
+0.0482659
+0.0482614
+0.0483561
+0.0485496
+0.0488289
+0.0492035
+0.0496719
+0.0502316
+0.0508692
+0.0515421
+0.0510431
+0.0505031
+0.0500532
+0.048396
+0.0464903
+0.0446045
+0.0427289
+0.0407873
+0.0387485
+0.0367272
+0.0347265
+0.0327501
+0.0308004
+0.028878
+0.0269065
+0.0249179
+0.022966
+0.0210506
+0.0191747
+0.0173656
+0.0155078
+0.0137209
+0.0120646
+0.0104223
+0.00896913
+0.00766758
+0.00651865
+0.00560517
+0.00494928
+0.00488713
+0.00543482
+0.00646639
+0.00761804
+0.00873095
+0.00992708
+0.0112952
+0.0127488
+0.0142904
+0.0158825
+0.0175618
+0.0192078
+0.0209215
+0.0226939
+0.0245263
+0.0263342
+0.0281965
+0.0300934
+0.0320096
+0.0339466
+0.0352943
+0.0364025
+0.0375874
+0.0388537
+0.0401996
+0.0415859
+0.0430263
+0.0445279
+0.0460785
+0.0475871
+0.0480888
+0.0486746
+0.0493501
+0.0501124
+0.0509576
+0.0518815
+0.0528801
+0.053936
+0.055055
+0.0562371
+0.0572991
+0.0579147
+0.0586057
+0.0593121
+0.060085
+0.0599638
+0.0587288
+0.0575507
+0.0564331
+0.0553796
+0.054394
+0.05348
+0.0526413
+0.0518817
+0.0511767
+0.0505483
+0.0499989
+0.0495309
+0.0491562
+0.0488769
+0.0486947
+0.0486106
+0.0486217
+0.0487158
+0.0489079
+0.0491948
+0.0495666
+0.0500316
+0.0505873
+0.0512307
+0.0519197
+0.0513
+0.0507655
+0.050318
+0.0494831
+0.0475989
+0.0456641
+0.0436332
+0.0416186
+0.0396226
+0.0376482
+0.0356979
+0.0337703
+0.0317741
+0.0297882
+0.027833
+0.0259146
+0.0240217
+0.0221808
+0.0203154
+0.0184849
+0.0167337
+0.0150186
+0.0133554
+0.0118599
+0.0105367
+0.00927192
+0.00825744
+0.00741353
+0.00679892
+0.00668271
+0.00703743
+0.00787467
+0.00897581
+0.00998686
+0.0110437
+0.0122698
+0.0136025
+0.0150224
+0.0165517
+0.0181124
+0.0196829
+0.0213471
+0.0230787
+0.0248828
+0.0267302
+0.0285667
+0.0304405
+0.031659
+0.0325968
+0.0336512
+0.0348118
+0.036045
+0.0373636
+0.0387613
+0.0401855
+0.0416744
+0.043223
+0.0448187
+0.0464621
+0.0481491
+0.0488139
+0.0494876
+0.0502478
+0.0510907
+0.0520122
+0.0530083
+0.0540618
+0.0551782
+0.0563577
+0.0575964
+0.0583719
+0.0589854
+0.0596511
+0.060389
+0.0602647
+0.059036
+0.0578641
+0.0567527
+0.0557052
+0.0547255
+0.0538171
+0.0529838
+0.0522291
+0.0515291
+0.0509051
+0.0503687
+0.0499228
+0.0495603
+0.0492833
+0.0491026
+0.0490192
+0.0490336
+0.0491458
+0.0493551
+0.0496472
+0.050023
+0.0504839
+0.0510347
+0.0516725
+0.0522492
+0.0516335
+0.0511025
+0.0506579
+0.0503048
+0.0485207
+0.0465114
+0.0445191
+0.0425464
+0.0405954
+0.0386558
+0.0366499
+0.0346664
+0.0327094
+0.0307839
+0.0288861
+0.0270213
+0.0251536
+0.0232917
+0.0214915
+0.0197607
+0.0180027
+0.0163496
+0.0148342
+0.0134327
+0.0121327
+0.0110034
+0.0100402
+0.00921908
+0.00867257
+0.00851207
+0.00878202
+0.00944035
+0.0103718
+0.0112277
+0.0121748
+0.0133345
+0.014684
+0.0160097
+0.0174064
+0.0188422
+0.0203547
+0.0219752
+0.0236609
+0.0254237
+0.0272487
+0.0284058
+0.0291196
+0.0299768
+0.0309656
+0.0320737
+0.0332753
+0.0345608
+0.0359339
+0.037385
+0.0388582
+0.040396
+0.0419918
+0.0436326
+0.045319
+0.0470471
+0.0488123
+0.0497212
+0.0504779
+0.051317
+0.0522346
+0.0532266
+0.0542758
+0.0553879
+0.056563
+0.0577973
+0.0587158
+0.0592724
+0.0599039
+0.0606081
+0.060629
+0.0594101
+0.0582481
+0.0571465
+0.0561089
+0.0551378
+0.0542363
+0.0534095
+0.052661
+0.0519716
+0.051353
+0.0508213
+0.0503794
+0.0500296
+0.0497738
+0.0496037
+0.0495211
+0.0495354
+0.0496465
+0.0498536
+0.0501514
+0.0505284
+0.0509967
+0.051554
+0.0521944
+0.0526678
+0.0520545
+0.051525
+0.0510841
+0.050734
+0.049416
+0.0474446
+0.045493
+0.0435325
+0.0415311
+0.0395497
+0.0375916
+0.0356605
+0.0337594
+0.0318796
+0.030009
+0.0281302
+0.0262962
+0.024511
+0.0227166
+0.0209975
+0.0193359
+0.017771
+0.0163186
+0.0150034
+0.0138212
+0.0127543
+0.0118772
+0.0111098
+0.0106014
+0.0104439
+0.01058
+0.0110982
+0.011887
+0.0126043
+0.0135006
+0.0145819
+0.0157786
+0.0170549
+0.0184255
+0.0197869
+0.0212323
+0.0227907
+0.0244202
+0.0256803
+0.0261025
+0.0266984
+0.0274566
+0.0283642
+0.0294072
+0.0305625
+0.0318109
+0.0331532
+0.0345822
+0.0360652
+0.0375982
+0.0391938
+0.0408412
+0.0425263
+0.044255
+0.046023
+0.0478046
+0.0496088
+0.050785
+0.0516191
+0.0525314
+0.0535178
+0.0545745
+0.0556808
+0.0568499
+0.0580781
+0.0589943
+0.0594731
+0.0599324
+0.0604677
+0.0610688
+0.0598589
+0.0587058
+0.0576115
+0.0565799
+0.0556156
+0.054722
+0.0539027
+0.0531611
+0.0525004
+0.0518895
+0.0513634
+0.0509262
+0.0505802
+0.0503272
+0.0501687
+0.0500963
+0.0501104
+0.0502202
+0.050425
+0.0507237
+0.0511097
+0.0515728
+0.0521239
+0.0527603
+0.0531551
+0.0525455
+0.0520211
+0.0515844
+0.0512378
+0.0503907
+0.0484137
+0.0464159
+0.0444364
+0.0424775
+0.0405424
+0.0386347
+0.0367463
+0.0348748
+0.0329864
+0.0311302
+0.0292948
+0.0274634
+0.0256884
+0.0239786
+0.0223183
+0.0207429
+0.0192597
+0.0178804
+0.0166549
+0.0154974
+0.0145051
+0.0137382
+0.0129894
+0.0125259
+0.0123187
+0.012436
+0.0128272
+0.0135004
+0.0141253
+0.0149558
+0.01592
+0.016905
+0.0180906
+0.0193933
+0.0207814
+0.0222268
+0.0234407
+0.0236948
+0.023979
+0.0244306
+0.0250663
+0.0258724
+0.0268336
+0.0279297
+0.0291264
+0.0304338
+0.0318244
+0.0332825
+0.0348032
+0.0363895
+0.0380358
+0.0397348
+0.0414799
+0.0432655
+0.0450521
+0.0468599
+0.0486991
+0.0505664
+0.0519923
+0.0528981
+0.0538779
+0.0549276
+0.0560433
+0.0572052
+0.0584259
+0.0589
+0.0592828
+0.0597436
+0.0602712
+0.0615834
+0.060382
+0.0592368
+0.0581515
+0.0571297
+0.0561748
+0.0552903
+0.0544795
+0.0537458
+0.0530828
+0.052495
+0.0519761
+0.051544
+0.0512022
+0.0509523
+0.0507958
+0.0507334
+0.0507656
+0.0508812
+0.0510834
+0.0513782
+0.0517641
+0.0522345
+0.0527787
+0.0534072
+0.053711
+0.0531078
+0.0525889
+0.052157
+0.0518142
+0.0513034
+0.0493253
+0.0473661
+0.0454279
+0.0435138
+0.0416197
+0.0397393
+0.0378487
+0.0359649
+0.0341111
+0.0322557
+0.0304448
+0.028687
+0.0269613
+0.0252868
+0.0236793
+0.0221687
+0.0207666
+0.0194789
+0.018283
+0.017204
+0.0163035
+0.0155146
+0.0148504
+0.0144223
+0.0142426
+0.0143162
+0.0146507
+0.0151589
+0.0157573
+0.0165229
+0.0172782
+0.0181899
+0.0192827
+0.0205109
+0.0216526
+0.0214853
+0.0215407
+0.021817
+0.022306
+0.0228425
+0.0235211
+0.0243784
+0.0253962
+0.026532
+0.0277825
+0.0291138
+0.0305443
+0.0320607
+0.0336367
+0.0352755
+0.0369715
+0.0387172
+0.0405061
+0.0423328
+0.0441572
+0.0460002
+0.0478725
+0.0497707
+0.0516921
+0.0533524
+0.0543239
+0.0553652
+0.0564722
+0.0576413
+0.0584837
+0.0587877
+0.0591713
+0.0596253
+0.0601478
+0.0621588
+0.0609762
+0.0598424
+0.0587683
+0.0577574
+0.0568131
+0.0559386
+0.0551374
+0.0544087
+0.0537461
+0.0531656
+0.0526699
+0.0522447
+0.0519074
+0.0516609
+0.0515066
+0.0514451
+0.0514768
+0.0516016
+0.0518104
+0.052101
+0.0524816
+0.0529501
+0.0535043
+0.0541352
+0.0543494
+0.0537534
+0.0532408
+0.0528143
+0.0524758
+0.052227
+0.050316
+0.0483968
+0.0464984
+0.0446015
+0.0426998
+0.0408048
+0.0389407
+0.0370757
+0.0352325
+0.0334002
+0.0316137
+0.0298809
+0.0282119
+0.02661
+0.0250846
+0.023659
+0.0223232
+0.0211079
+0.0199424
+0.0189138
+0.018061
+0.017376
+0.0167718
+0.0163671
+0.016209
+0.0162688
+0.0165542
+0.0169265
+0.0174794
+0.0181117
+0.01876
+0.0196013
+0.0206031
+0.020159
+0.0197847
+0.019636
+0.0196959
+0.019997
+0.0205047
+0.0212069
+0.0220618
+0.0229736
+0.0240509
+0.0252088
+0.0264883
+0.0278814
+0.029372
+0.0309459
+0.032576
+0.0342655
+0.0360091
+0.0377993
+0.0396297
+0.0414913
+0.0433369
+0.0452133
+0.0471137
+0.0490354
+0.050979
+0.0526483
+0.0542863
+0.0558853
+0.0569822
+0.0581411
+0.0584388
+0.058743
+0.0591269
+0.0595812
+0.0601041
+0.0623726
+0.0616426
+0.0605213
+0.0594595
+0.0584606
+0.0575278
+0.0566643
+0.0558735
+0.0551431
+0.0544894
+0.053917
+0.0534282
+0.0530256
+0.0526944
+0.0524516
+0.0522995
+0.052239
+0.0522702
+0.0523932
+0.0526071
+0.0529035
+0.0532783
+0.0537399
+0.054286
+0.0549142
+0.0550521
+0.0544637
+0.0539579
+0.0535371
+0.0532032
+0.0529579
+0.0513802
+0.0494708
+0.0475607
+0.0456571
+0.0437804
+0.04189
+0.0400028
+0.0381481
+0.0363308
+0.0345568
+0.0328332
+0.0311684
+0.0295613
+0.0280253
+0.0265813
+0.0252274
+0.023956
+0.0227307
+0.0216112
+0.0206635
+0.0198672
+0.0192847
+0.0187523
+0.0183674
+0.0182266
+0.0182469
+0.0184506
+0.0186811
+0.0190993
+0.0196738
+0.0203422
+0.0198105
+0.0189853
+0.0183854
+0.017983
+0.0178231
+0.0178886
+0.0182193
+0.0187718
+0.0195364
+0.0205076
+0.0216575
+0.0227661
+0.0239758
+0.0253177
+0.0267718
+0.0283209
+0.029946
+0.0316262
+0.0333655
+0.035155
+0.0369874
+0.0388552
+0.0407024
+0.0425822
+0.0444904
+0.0464236
+0.0482728
+0.0498621
+0.0514956
+0.0531691
+0.0548791
+0.0566223
+0.0582528
+0.0584759
+0.05878
+0.0591636
+0.0596176
+0.0601402
+0.0626622
+0.0622615
+0.0612618
+0.0602131
+0.0592269
+0.0583064
+0.0574546
+0.0566748
+0.0559537
+0.0553096
+0.0547457
+0.0542644
+0.053868
+0.0535584
+0.0533205
+0.053171
+0.0531114
+0.0531422
+0.0532631
+0.0534736
+0.0537725
+0.054152
+0.0546062
+0.0551437
+0.0557622
+0.0558308
+0.0552507
+0.0547522
+0.0543375
+0.0540085
+0.052939
+0.0511887
+0.0494699
+0.0477898
+0.0461525
+0.0445628
+0.0429298
+0.0410904
+0.0392871
+0.037525
+0.0358102
+0.03415
+0.0325395
+0.0309963
+0.029535
+0.0281315
+0.0268012
+0.025529
+0.0243772
+0.0233446
+0.022451
+0.0217173
+0.0211383
+0.0206858
+0.0203263
+0.0201993
+0.0201693
+0.0202165
+0.0203692
+0.020752
+0.0205744
+0.0193179
+0.0182247
+0.017324
+0.0166643
+0.0162251
+0.0160582
+0.0161562
+0.0165219
+0.0171347
+0.0179691
+0.0190205
+0.0202551
+0.0216081
+0.0228792
+0.0242817
+0.0257943
+0.0273863
+0.0290494
+0.0307787
+0.0325635
+0.0343952
+0.0362668
+0.0381376
+0.040018
+0.0419285
+0.0438652
+0.0455352
+0.047115
+0.048742
+0.0504118
+0.0521202
+0.0538635
+0.0556384
+0.0574421
+0.058595
+0.0588984
+0.0592813
+0.0597344
+0.060256
+0.0630267
+0.0626284
+0.0620698
+0.061035
+0.0600623
+0.0591548
+0.0583154
+0.0575473
+0.0568372
+0.0562033
+0.0556484
+0.055175
+0.0547852
+0.0544807
+0.0542631
+0.0541171
+0.0540586
+0.0540888
+0.0542076
+0.0544144
+0.0547083
+0.0550877
+0.055537
+0.0560657
+0.0566742
+0.0566835
+0.0561122
+0.0556215
+0.0552133
+0.0541206
+0.0523213
+0.0505528
+0.0488187
+0.0471185
+0.045457
+0.0438421
+0.042279
+0.0407635
+0.0393106
+0.0379287
+0.0366257
+0.0354105
+0.0339899
+0.0325088
+0.0310571
+0.0296833
+0.0283805
+0.0271732
+0.0260598
+0.0250871
+0.0242384
+0.0235605
+0.0230356
+0.0225806
+0.0222301
+0.0220155
+0.0219268
+0.0219821
+0.0221393
+0.0207231
+0.0192401
+0.017903
+0.0167227
+0.0157574
+0.0150277
+0.014569
+0.014383
+0.014515
+0.014921
+0.0156037
+0.0165322
+0.0176743
+0.0189966
+0.0204459
+0.0219126
+0.0233733
+0.024941
+0.0265842
+0.0282945
+0.0300671
+0.0318918
+0.03376
+0.0356577
+0.0375344
+0.0394435
+0.041336
+0.0428466
+0.044414
+0.0460323
+0.0476963
+0.0494014
+0.0511436
+0.0529191
+0.0547246
+0.0565574
+0.0584149
+0.0590562
+0.059438
+0.0598976
+0.0604331
+0.0634488
+0.0630532
+0.0627315
+0.0619235
+0.060965
+0.0600711
+0.0592447
+0.0584861
+0.0577873
+0.0571639
+0.0566184
+0.0561532
+0.0557702
+0.0554712
+0.0552574
+0.0551176
+0.0550601
+0.0550898
+0.0552065
+0.0554095
+0.0556981
+0.0560709
+0.0565261
+0.057048
+0.0576461
+0.057607
+0.0570449
+0.0565622
+0.0554453
+0.053601
+0.0517836
+0.0499962
+0.048242
+0.0465248
+0.0448464
+0.0432036
+0.0416056
+0.0400635
+0.0385843
+0.0371754
+0.0358451
+0.0346024
+0.0334572
+0.0324197
+0.0314921
+0.030673
+0.0299854
+0.0288263
+0.0277918
+0.0268804
+0.0260874
+0.0254588
+0.0248207
+0.0243634
+0.0240285
+0.0238356
+0.02375
+0.0230735
+0.0213056
+0.0196231
+0.0180499
+0.0166173
+0.015353
+0.0143007
+0.013512
+0.013017
+0.0128237
+0.0129869
+0.013457
+0.0142251
+0.0152379
+0.0164713
+0.0178827
+0.0194158
+0.0210597
+0.022641
+0.0242561
+0.0259427
+0.0276926
+0.0295015
+0.0313569
+0.033248
+0.0351486
+0.0370511
+0.0387278
+0.0402171
+0.0417682
+0.0433746
+0.0450302
+0.04673
+0.0484691
+0.0502436
+0.0520498
+0.0538845
+0.0557449
+0.0576285
+0.0592264
+0.0596072
+0.0600655
+0.0605995
+0.063915
+0.0635374
+0.0632183
+0.0628759
+0.0619321
+0.0610523
+0.0602394
+0.0594897
+0.0588027
+0.0581902
+0.0576545
+0.0571977
+0.0568218
+0.0565283
+0.0563185
+0.0561854
+0.056129
+0.0561581
+0.0562726
+0.0564718
+0.056755
+0.0571208
+0.0575678
+0.058094
+0.0586838
+0.0585899
+0.0580454
+0.0569081
+0.0550255
+0.0531666
+0.0513339
+0.0495302
+0.0477541
+0.04601
+0.0443056
+0.0426418
+0.0410218
+0.039457
+0.0379541
+0.0365209
+0.0351658
+0.0338983
+0.0327284
+0.0316671
+0.0307171
+0.0298767
+0.029177
+0.0286282
+0.0282391
+0.0280165
+0.0279642
+0.0272295
+0.0266337
+0.0262081
+0.0258788
+0.0256709
+0.0241709
+0.0222884
+0.0204526
+0.0186935
+0.0170348
+0.0155086
+0.0141578
+0.0130104
+0.0121377
+0.0115847
+0.0114045
+0.0115877
+0.0121536
+0.0130063
+0.0141244
+0.0154701
+0.0169651
+0.0185862
+0.0202975
+0.0220936
+0.0237542
+0.0254633
+0.0272352
+0.0290642
+0.0309403
+0.0328502
+0.0347703
+0.0361969
+0.0376589
+0.0391888
+0.0407791
+0.0424229
+0.0441143
+0.045848
+0.0476194
+0.0494243
+0.0512594
+0.0531214
+0.0550077
+0.0569157
+0.0588427
+0.0598561
+0.0603125
+0.0608444
+0.0644384
+0.0640779
+0.0637765
+0.0635342
+0.0629605
+0.0620954
+0.0612963
+0.0605559
+0.0598812
+0.0592798
+0.058754
+0.0583058
+0.0579371
+0.0576493
+0.0574436
+0.0573171
+0.0572618
+0.0572903
+0.0574025
+0.0575979
+0.0578755
+0.0582343
+0.0586728
+0.0591891
+0.0597814
+0.0595826
+0.0584985
+0.056584
+0.0546903
+0.052819
+0.0509674
+0.0491421
+0.0473478
+0.0455882
+0.0438675
+0.0421863
+0.0405481
+0.0389643
+0.0374417
+0.0359881
+0.0346121
+0.0333235
+0.0321294
+0.0310404
+0.0300718
+0.0292233
+0.0285075
+0.0279456
+0.0275469
+0.0273186
+0.0272649
+0.0273737
+0.0276536
+0.0280305
+0.0275328
+0.0255312
+0.0235583
+0.0216229
+0.0197312
+0.0179078
+0.0161758
+0.0145678
+0.0131207
+0.0119031
+0.0109467
+0.0103405
+0.0101691
+0.0103814
+0.0110247
+0.0120101
+0.0132435
+0.0146805
+0.016249
+0.0179435
+0.019725
+0.021566
+0.0234147
+0.0251401
+0.0269332
+0.0287815
+0.0306604
+0.0324109
+0.033759
+0.0351875
+0.0366897
+0.0382585
+0.0398858
+0.041565
+0.0432899
+0.0450554
+0.0468567
+0.04869
+0.0505517
+0.0524388
+0.0543488
+0.0562792
+0.0582272
+0.0601838
+0.0606377
+0.0611668
+0.0650315
+0.0646742
+0.0643895
+0.0641645
+0.0639987
+0.0631972
+0.0624122
+0.0616815
+0.0610192
+0.0604292
+0.0599135
+0.059474
+0.0591126
+0.0588305
+0.058629
+0.0585089
+0.0584548
+0.0584827
+0.0585926
+0.058784
+0.0590561
+0.0594078
+0.0598376
+0.060344
+0.060925
+0.0602064
+0.0582657
+0.0563416
+0.0544324
+0.0525448
+0.0506817
+0.0488458
+0.0470402
+0.0452683
+0.0435257
+0.0418253
+0.0401724
+0.0385731
+0.0370344
+0.0355642
+0.0341712
+0.0328603
+0.031645
+0.0305388
+0.0295537
+0.0287024
+0.0279936
+0.0274204
+0.0270129
+0.0267786
+0.0267222
+0.0268381
+0.0271235
+0.0275805
+0.0271428
+0.0251049
+0.0230951
+0.0211213
+0.0191946
+0.0173307
+0.0155512
+0.0138635
+0.0123341
+0.01103
+0.0100237
+0.00934864
+0.00915775
+0.00945571
+0.0101598
+0.011253
+0.0126091
+0.0141199
+0.0157525
+0.0175006
+0.0193341
+0.0212156
+0.0231504
+0.0250053
+0.0268054
+0.0286389
+0.0301398
+0.0314327
+0.032821
+0.0342886
+0.0358285
+0.0374333
+0.0390951
+0.0408068
+0.0425625
+0.0443569
+0.0461854
+0.0480443
+0.0499301
+0.0518399
+0.0537711
+0.0557197
+0.0576778
+0.059652
+0.0610399
+0.0615655
+0.0656922
+0.0653386
+0.0650568
+0.0648479
+0.0646987
+0.0643547
+0.0635818
+0.0628633
+0.0622136
+0.061635
+0.0611295
+0.0606988
+0.0603447
+0.0600684
+0.0598711
+0.0597535
+0.0597043
+0.0597317
+0.0598393
+0.0600267
+0.0602932
+0.0606377
+0.0610589
+0.0615552
+0.0620221
+0.0600567
+0.0581041
+0.0561691
+0.0542535
+0.0523595
+0.0504896
+0.0486434
+0.0468215
+0.0450325
+0.0432804
+0.04157
+0.0399065
+0.0382961
+0.0367458
+0.0352635
+0.0338582
+0.0325347
+0.0313068
+0.0301881
+0.0291912
+0.028329
+0.0276122
+0.0270301
+0.026616
+0.026378
+0.0263208
+0.0264455
+0.0267497
+0.0272253
+0.0269205
+0.0248645
+0.0228336
+0.020835
+0.0188791
+0.0169806
+0.0151602
+0.0134233
+0.0118371
+0.0104712
+0.00940544
+0.0087033
+0.00850279
+0.00880927
+0.00960813
+0.0107641
+0.0121998
+0.0137975
+0.0155264
+0.0173155
+0.0191668
+0.0210632
+0.0230119
+0.0249817
+0.02678
+0.0280276
+0.0292498
+0.0305803
+0.0320056
+0.033509
+0.0350831
+0.0367205
+0.0384131
+0.040154
+0.0419369
+0.043757
+0.0456096
+0.0474911
+0.049398
+0.0513276
+0.0532685
+0.0552266
+0.0572015
+0.0591917
+0.0611955
+0.062039
+0.0664187
+0.066069
+0.0657904
+0.0655838
+0.0654499
+0.0653755
+0.0647946
+0.0640897
+0.0634526
+0.0628854
+0.06239
+0.0619681
+0.0616213
+0.0613507
+0.0611575
+0.0610424
+0.0610056
+0.0610337
+0.061139
+0.0613225
+0.0615834
+0.0619207
+0.0623332
+0.0628195
+0.0619361
+0.0599655
+0.0580106
+0.0560732
+0.0541551
+0.0522584
+0.0503786
+0.048523
+0.0466964
+0.0449024
+0.0431451
+0.0414291
+0.0397597
+0.0381431
+0.0365864
+0.0350973
+0.033685
+0.0323545
+0.0311195
+0.0299938
+0.0289902
+0.0281218
+0.0273996
+0.0268129
+0.0263954
+0.0261554
+0.0260977
+0.0262235
+0.0265302
+0.0270111
+0.0268757
+0.0248159
+0.0227806
+0.0207769
+0.018815
+0.0169093
+0.0150803
+0.013333
+0.0117346
+0.0103553
+0.00926784
+0.00855037
+0.00835066
+0.00867042
+0.00948163
+0.0106514
+0.012102
+0.01375
+0.0155043
+0.0173531
+0.0192379
+0.0211379
+0.0230803
+0.0250637
+0.0261128
+0.0272449
+0.0285008
+0.0298647
+0.0313226
+0.0328571
+0.0344611
+0.0361267
+0.0378459
+0.0396116
+0.041418
+0.0432599
+0.0451329
+0.0470334
+0.0489523
+0.0508879
+0.0528434
+0.0548166
+0.0568058
+0.0588094
+0.0608258
+0.0625857
+0.0672088
+0.0668632
+0.0665879
+0.0663838
+0.0662515
+0.0661915
+0.0660555
+0.0653642
+0.0647396
+0.0641838
+0.0636984
+0.0632853
+0.0629457
+0.0626809
+0.0624918
+0.0623791
+0.0623433
+0.0623816
+0.0624847
+0.0626642
+0.0629195
+0.0632497
+0.0636536
+0.0639047
+0.0619192
+0.059948
+0.0579926
+0.0560545
+0.0541357
+0.0522384
+0.0503578
+0.0485014
+0.046674
+0.0448791
+0.0431208
+0.0414037
+0.0397333
+0.0381156
+0.0365577
+0.0350675
+0.0336539
+0.0323221
+0.0310858
+0.0299588
+0.0289541
+0.0280845
+0.0273614
+0.0267738
+0.0263557
+0.0261153
+0.0260575
+0.0261835
+0.0264906
+0.0269722
+0.027009
+0.0249602
+0.0229377
+0.0209491
+0.0190047
+0.017102
+0.0152714
+0.013548
+0.0119783
+0.0106306
+0.00955088
+0.00885632
+0.00866012
+0.00897805
+0.00978127
+0.0109549
+0.01237
+0.0139865
+0.0157342
+0.0175588
+0.0194591
+0.021364
+0.0233089
+0.024429
+0.0254601
+0.0266201
+0.027904
+0.0292898
+0.0307681
+0.0323272
+0.0339562
+0.0356455
+0.0373868
+0.0391732
+0.0409989
+0.0428588
+0.0447486
+0.0466601
+0.0485882
+0.0505377
+0.0525063
+0.0544917
+0.0564924
+0.0585067
+0.060533
+0.0625694
+0.0680602
+0.067719
+0.0674472
+0.0672457
+0.0671151
+0.0670559
+0.0670682
+0.0666862
+0.0660742
+0.0655296
+0.0650544
+0.0646499
+0.0643175
+0.0640584
+0.0638734
+0.0637631
+0.0637281
+0.0637683
+0.0638769
+0.0640525
+0.0643023
+0.0646254
+0.0650208
+0.0639593
+0.0619797
+0.0600105
+0.0580572
+0.0561214
+0.054205
+0.0523101
+0.0504323
+0.0485787
+0.0467543
+0.0449626
+0.0432077
+0.0414942
+0.0398276
+0.0382139
+0.0366601
+0.0351742
+0.0337652
+0.0324379
+0.0312062
+0.0300838
+0.0290833
+0.0282178
+0.0274981
+0.0269135
+0.0264976
+0.0262585
+0.026201
+0.0263263
+0.0266319
+0.0271064
+0.0273179
+0.0252942
+0.0232974
+0.0213243
+0.0193976
+0.0175329
+0.0157524
+0.014088
+0.0125859
+0.0113108
+0.0103026
+0.0096622
+0.00947946
+0.0097739
+0.0105165
+0.0116161
+0.0129592
+0.0145102
+0.0162096
+0.0180153
+0.0198856
+0.0217752
+0.022975
+0.0238849
+0.0249544
+0.0261528
+0.0274508
+0.0288571
+0.0303564
+0.0319356
+0.0335836
+0.0352907
+0.0370487
+0.0388507
+0.0406908
+0.0425642
+0.0444656
+0.0463801
+0.0483169
+0.0502746
+0.0522508
+0.0542434
+0.0562508
+0.0582714
+0.0603039
+0.0623471
+0.0689708
+0.068634
+0.0683659
+0.0681671
+0.0680383
+0.0679799
+0.067992
+0.0680532
+0.0674535
+0.0669202
+0.0664549
+0.066059
+0.0657337
+0.0654802
+0.0652992
+0.0651914
+0.0651571
+0.0651964
+0.0653092
+0.0654847
+0.065729
+0.0660452
+0.0652308
+0.0637006
+0.0621175
+0.0601528
+0.0582043
+0.0562735
+0.0543625
+0.0524733
+0.0506015
+0.0487544
+0.0469368
+0.0451523
+0.0434051
+0.0416998
+0.0400417
+0.038437
+0.0368926
+0.0354165
+0.0340175
+0.0327004
+0.031479
+0.0303667
+0.029368
+0.0285
+0.0277781
+0.0272138
+0.0268068
+0.0265705
+0.0265137
+0.0266376
+0.0269318
+0.0273861
+0.0277889
+0.0257869
+0.0238182
+0.0218917
+0.0200197
+0.0182188
+0.0165124
+0.014933
+0.013525
+0.0123473
+0.0114309
+0.010856
+0.0106921
+0.0109568
+0.0116241
+0.0126276
+0.0138731
+0.0153319
+0.0169491
+0.0186835
+0.0205054
+0.0218106
+0.0225774
+0.0235027
+0.0245888
+0.0258156
+0.0271608
+0.0285816
+0.0300946
+0.031687
+0.0333447
+0.0350589
+0.0368237
+0.0386321
+0.0404738
+0.0423483
+0.0442519
+0.0461809
+0.0481285
+0.0500935
+0.0520766
+0.0540756
+0.0560859
+0.0581078
+0.0601416
+0.062186
+0.0699381
+0.0696061
+0.0693416
+0.0691457
+0.0690187
+0.0689611
+0.0689731
+0.0690546
+0.0688749
+0.0683527
+0.0678972
+0.0675098
+0.0671915
+0.0669435
+0.0667665
+0.0666611
+0.0666275
+0.066666
+0.0667763
+0.0669574
+0.0671969
+0.0666222
+0.065051
+0.0635165
+0.0620214
+0.0603744
+0.0584332
+0.0565103
+0.0546075
+0.0527271
+0.0508646
+0.0490274
+0.0472203
+0.045447
+0.0437116
+0.0420187
+0.0403737
+0.0387828
+0.0372527
+0.0357914
+0.0344076
+0.0330997
+0.0318836
+0.0307757
+0.0297879
+0.0289325
+0.0282216
+0.0276664
+0.0272662
+0.0270339
+0.0269781
+0.0270998
+0.0273891
+0.0278359
+0.0283961
+0.0264402
+0.024524
+0.0226576
+0.0208544
+0.0191323
+0.0175152
+0.0160348
+0.0147325
+0.0136593
+0.0128369
+0.0123253
+0.0121811
+0.0124166
+0.0130092
+0.0139132
+0.0150527
+0.016407
+0.0179274
+0.0195753
+0.0209879
+0.0216106
+0.022388
+0.0233208
+0.0244151
+0.0256487
+0.026971
+0.028401
+0.0299232
+0.0315175
+0.0331729
+0.0348874
+0.0366527
+0.0384617
+0.0403086
+0.0421885
+0.044097
+0.0460307
+0.0479865
+0.0499617
+0.0519543
+0.0539622
+0.0559762
+0.0580019
+0.0600393
+0.0620871
+0.0709599
+0.0706327
+0.0703721
+0.070179
+0.0700539
+0.0699972
+0.070009
+0.0700893
+0.0702379
+0.0698246
+0.0693787
+0.0689996
+0.0686883
+0.0684457
+0.0682726
+0.0681694
+0.0681366
+0.0681742
+0.0682821
+0.06846
+0.0681262
+0.0665184
+0.0649446
+0.0634076
+0.0619098
+0.0604059
+0.0587429
+0.0568305
+0.0549339
+0.0530566
+0.0512043
+0.0493798
+0.0475861
+0.0458269
+0.0441064
+0.0424293
+0.0408009
+0.0392272
+0.0377152
+0.0362726
+0.0349079
+0.0336159
+0.0324192
+0.0313302
+0.0303604
+0.0295217
+0.0288253
+0.028282
+0.0278906
+0.0276636
+0.027609
+0.0277279
+0.0280108
+0.0284478
+0.0290439
+0.0272473
+0.025392
+0.0235944
+0.0218686
+0.0202329
+0.0187112
+0.0173332
+0.0161361
+0.0151626
+0.0144121
+0.0139491
+0.0138219
+0.0140396
+0.0145868
+0.0153878
+0.0164253
+0.0176747
+0.0190945
+0.0204997
+0.0209236
+0.0215482
+0.0223434
+0.0233011
+0.0243583
+0.0255599
+0.0268866
+0.0283209
+0.0298471
+0.0314453
+0.0331043
+0.0348222
+0.0365906
+0.0384026
+0.0402522
+0.0421345
+0.0440454
+0.0459813
+0.0479391
+0.0499162
+0.0519105
+0.05392
+0.0559432
+0.0579785
+0.0600169
+0.0620654
+0.0720339
+0.0717115
+0.0714549
+0.0712647
+0.0711415
+0.0710857
+0.0710973
+0.0711764
+0.0713227
+0.0713333
+0.070897
+0.070526
+0.0702215
+0.0699842
+0.0698149
+0.069714
+0.0696819
+0.0697187
+0.0698242
+0.069728
+0.0680952
+0.0664866
+0.0649121
+0.0633742
+0.0618757
+0.0604017
+0.0588262
+0.0572196
+0.0553332
+0.05347
+0.0516326
+0.0498237
+0.0480466
+0.0463049
+0.0446028
+0.0429451
+0.041337
+0.0397846
+0.0382946
+0.0368746
+0.035533
+0.0342646
+0.0330914
+0.0320253
+0.0310772
+0.0302583
+0.0295793
+0.0290501
+0.0286692
+0.0284484
+0.0283953
+0.028511
+0.0287861
+0.0292116
+0.0297924
+0.0281942
+0.0264056
+0.0246819
+0.0230377
+0.0214913
+0.0200651
+0.0187868
+0.0176883
+0.0167929
+0.0161019
+0.0156889
+0.0155759
+0.0157694
+0.0162585
+0.017007
+0.0179512
+0.019101
+0.0204026
+0.0206418
+0.021088
+0.0217078
+0.0224973
+0.0234092
+0.0244617
+0.0256585
+0.0269804
+0.0284099
+0.0299316
+0.0315255
+0.0331805
+0.0348946
+0.0366595
+0.0384683
+0.0403149
+0.0421944
+0.0441027
+0.0460362
+0.0479917
+0.0499668
+0.0519591
+0.0539669
+0.0559883
+0.058022
+0.0600668
+0.062121
+0.0731577
+0.0728403
+0.0725876
+0.0724004
+0.0722792
+0.0722242
+0.0722357
+0.0723135
+0.0724575
+0.0726551
+0.0724497
+0.0720867
+0.0717888
+0.0715567
+0.0713911
+0.0712925
+0.0712611
+0.0712971
+0.0713959
+0.0697532
+0.0681346
+0.066527
+0.0649534
+0.0634166
+0.0619191
+0.0604639
+0.0589033
+0.0573656
+0.0558158
+0.0539693
+0.0521494
+0.050359
+0.0486015
+0.0468805
+0.0452001
+0.0435651
+0.0419807
+0.040453
+0.0389886
+0.0375948
+0.0362799
+0.0350385
+0.0338921
+0.032852
+0.0319285
+0.031132
+0.0304725
+0.029959
+0.0295879
+0.029374
+0.0293226
+0.0294346
+0.0297031
+0.0301156
+0.0306794
+0.0292748
+0.0275564
+0.0259094
+0.0243482
+0.0228905
+0.0215571
+0.0203726
+0.0193643
+0.0185247
+0.0179007
+0.0175301
+0.017429
+0.0176022
+0.0180416
+0.0187287
+0.0196035
+0.0206616
+0.0207585
+0.0209936
+0.0214383
+0.0220626
+0.0228191
+0.0237043
+0.0247443
+0.0259281
+0.0272369
+0.0286536
+0.030163
+0.0317519
+0.0334006
+0.0351039
+0.0368588
+0.0386582
+0.0404962
+0.0423677
+0.0442685
+0.046195
+0.0481441
+0.0501132
+0.0520999
+0.0541024
+0.056119
+0.0581481
+0.0601886
+0.0622393
+0.074329
+0.0740167
+0.0737681
+0.0735839
+0.0734646
+0.0734105
+0.0734217
+0.0734983
+0.0736331
+0.073827
+0.0740294
+0.0736742
+0.0733828
+0.0731557
+0.0729938
+0.0728973
+0.0728667
+0.0729018
+0.0714876
+0.0698471
+0.0682325
+0.0666383
+0.0650686
+0.0635345
+0.0620398
+0.0605875
+0.0590617
+0.0575282
+0.0560346
+0.0545519
+0.0527522
+0.050983
+0.0492477
+0.0475501
+0.0458942
+0.0442849
+0.0427272
+0.0412272
+0.0397913
+0.0384266
+0.0371411
+0.0359295
+0.0348125
+0.0338007
+0.0329038
+0.0321315
+0.0314929
+0.0309928
+0.0306323
+0.0304257
+0.0303761
+0.0304843
+0.0307485
+0.0311478
+0.0316932
+0.0304748
+0.028828
+0.027258
+0.0257786
+0.0244064
+0.0231605
+0.0220622
+0.0211247
+0.0203451
+0.0197787
+0.0194439
+0.0193528
+0.0195089
+0.0199063
+0.020531
+0.0213529
+0.0212674
+0.0213161
+0.0215075
+0.0219119
+0.0225232
+0.0232647
+0.0241637
+0.0251927
+0.0263563
+0.0276448
+0.0290417
+0.0305319
+0.0321025
+0.0337409
+0.0354327
+0.0371768
+0.0389659
+0.0407943
+0.0426529
+0.0445415
+0.0464567
+0.0483953
+0.0503545
+0.0523321
+0.054326
+0.0563346
+0.0583563
+0.0603897
+0.0624338
+0.0755458
+0.0752385
+0.0749939
+0.0748128
+0.0746954
+0.0746422
+0.0746486
+0.0747115
+0.0748385
+0.0750293
+0.0752833
+0.0752919
+0.0750067
+0.0747846
+0.0746262
+0.0745318
+0.0745018
+0.073312
+0.0716463
+0.0700094
+0.0683987
+0.0668085
+0.0652458
+0.0637158
+0.0622252
+0.0607771
+0.0593006
+0.0577735
+0.0562863
+0.0548464
+0.053438
+0.0516923
+0.0499817
+0.0483099
+0.046681
+0.0450997
+0.0435712
+0.0421012
+0.0406961
+0.0393629
+0.038109
+0.0369292
+0.0358433
+0.0348614
+0.0339926
+0.0332455
+0.0326288
+0.0321411
+0.0317936
+0.0315946
+0.0315469
+0.031651
+0.0319056
+0.0322957
+0.0328221
+0.0317806
+0.0302052
+0.0287105
+0.0273099
+0.0260186
+0.0248537
+0.0238336
+0.022948
+0.0222325
+0.0217153
+0.0214108
+0.0213282
+0.0214699
+0.0218316
+0.0224027
+0.0221349
+0.0219644
+0.0220116
+0.0221969
+0.022589
+0.0231824
+0.0239035
+0.0247794
+0.0258119
+0.0269563
+0.0282175
+0.0295873
+0.0310513
+0.032597
+0.0342116
+0.0358813
+0.0376045
+0.0393742
+0.0411845
+0.0430301
+0.0449067
+0.0468106
+0.0487387
+0.0506881
+0.0526545
+0.0546367
+0.0566342
+0.0586456
+0.0606693
+0.0627043
+0.0768058
+0.0765035
+0.076263
+0.0760849
+0.0759671
+0.0759025
+0.0759012
+0.075963
+0.0760879
+0.0762756
+0.0765255
+0.0768371
+0.0766588
+0.0764415
+0.0762865
+0.0761943
+0.0752198
+0.073532
+0.0718713
+0.0702397
+0.0686344
+0.0670498
+0.065493
+0.0639688
+0.0624843
+0.0610423
+0.0596117
+0.0581003
+0.0566218
+0.0551906
+0.0538105
+0.0524836
+0.0507996
+0.0491556
+0.0475557
+0.0460045
+0.0445071
+0.0430691
+0.0416966
+0.0403964
+0.0391756
+0.0380289
+0.0369753
+0.0360243
+0.0351841
+0.034463
+0.0338667
+0.0333937
+0.0330595
+0.0328681
+0.0328222
+0.0329223
+0.0331672
+0.0335477
+0.0340546
+0.0331799
+0.0316741
+0.0302521
+0.0289262
+0.0277104
+0.0266195
+0.0256611
+0.0248308
+0.0241711
+0.0236962
+0.0234175
+0.023342
+0.0234716
+0.0238029
+0.0233839
+0.0230149
+0.0228509
+0.0228814
+0.0230547
+0.0234325
+0.024005
+0.0247206
+0.0255685
+0.0265704
+0.0277096
+0.028945
+0.0302819
+0.0317139
+0.0332287
+0.0348141
+0.0364562
+0.0381535
+0.0398989
+0.0416863
+0.0435106
+0.0453674
+0.0472528
+0.0491635
+0.0510966
+0.0530498
+0.0550209
+0.057008
+0.0590096
+0.0610241
+0.0630498
+0.0781069
+0.0778097
+0.0775729
+0.0773858
+0.0772603
+0.0771969
+0.0771955
+0.0772564
+0.0773792
+0.0775637
+0.0778095
+0.078116
+0.0783373
+0.0781247
+0.0779731
+0.0772049
+0.0754979
+0.0738164
+0.0721622
+0.0705374
+0.068939
+0.0673615
+0.0658122
+0.0642956
+0.0628188
+0.0613847
+0.0599907
+0.0584962
+0.0570369
+0.0556164
+0.0542472
+0.0529333
+0.0516712
+0.0500829
+0.0485136
+0.046994
+0.0455292
+0.0441245
+0.0427859
+0.0415198
+0.040333
+0.0392202
+0.0381995
+0.0372797
+0.0364685
+0.0357732
+0.0351943
+0.0347395
+0.0344183
+0.0342345
+0.0341905
+0.0342866
+0.0345217
+0.0348923
+0.03538
+0.0346612
+0.0332226
+0.0318697
+0.030614
+0.0294679
+0.0284445
+0.0275327
+0.0267605
+0.0261495
+0.0257112
+0.0254546
+0.0253851
+0.0255043
+0.0249532
+0.0244158
+0.0240627
+0.0239049
+0.023906
+0.024072
+0.024434
+0.0249836
+0.0256978
+0.0265155
+0.0274829
+0.0285858
+0.0297947
+0.0311016
+0.0324999
+0.0339797
+0.035533
+0.0371506
+0.0388184
+0.0405352
+0.0422958
+0.0440949
+0.045928
+0.0477913
+0.0496813
+0.0515951
+0.0535301
+0.0554841
+0.0574552
+0.0594417
+0.0614421
+0.063455
+0.0794404
+0.0791449
+0.0789007
+0.0787167
+0.0785934
+0.078531
+0.0785297
+0.0785895
+0.0787103
+0.0788917
+0.0791333
+0.0794347
+0.0797944
+0.0798326
+0.0792613
+0.0775377
+0.0758381
+0.0741644
+0.0725182
+0.0709015
+0.0693115
+0.0677427
+0.0662023
+0.0646949
+0.0632274
+0.0618028
+0.0604184
+0.0589663
+0.0575189
+0.0561106
+0.0547538
+0.0534523
+0.0522103
+0.0510297
+0.04955
+0.0480631
+0.0466319
+0.0452614
+0.0439575
+0.0427261
+0.0415738
+0.040495
+0.0395073
+0.0386187
+0.0378362
+0.0371664
+0.0366051
+0.0361679
+0.0358596
+0.0356832
+0.035641
+0.0357332
+0.0359589
+0.0363155
+0.0367882
+0.0362145
+0.0348401
+0.0335525
+0.0323622
+0.0312802
+0.0303105
+0.0294483
+0.0287276
+0.0281594
+0.0277529
+0.0275153
+0.027451
+0.0267528
+0.0260975
+0.0255806
+0.0252437
+0.0250772
+0.0250801
+0.0252388
+0.0255843
+0.0261097
+0.0267852
+0.0276034
+0.0285349
+0.0295986
+0.0307676
+0.0320349
+0.0333979
+0.0348454
+0.0363618
+0.037944
+0.0395844
+0.0412758
+0.0430083
+0.0447788
+0.0465851
+0.048423
+0.0502893
+0.0521808
+0.0540948
+0.0560292
+0.0579818
+0.0599508
+0.0619347
+0.0639321
+0.0807994
+0.0805064
+0.0802664
+0.0800855
+0.0799643
+0.079903
+0.0799017
+0.0799605
+0.0800791
+0.0802574
+0.080495
+0.0807913
+0.0811457
+0.0813707
+0.0796354
+0.0779232
+0.0762354
+0.0745738
+0.0729382
+0.071331
+0.0697509
+0.0681922
+0.0666622
+0.0651654
+0.0637088
+0.0622952
+0.0609219
+0.0595115
+0.0580796
+0.0566852
+0.0553425
+0.0540552
+0.0528274
+0.0516633
+0.0505649
+0.0492066
+0.0478096
+0.0464739
+0.0452049
+0.0440085
+0.0428906
+0.0418458
+0.0408907
+0.0400328
+0.0392785
+0.0386293
+0.0380896
+0.0376697
+0.0373737
+0.0372046
+0.037164
+0.0372525
+0.037469
+0.0378115
+0.0382701
+0.0378309
+0.0365174
+0.0352911
+0.0341614
+0.0331381
+0.0322099
+0.0313999
+0.0307251
+0.0301944
+0.0298156
+0.0295946
+0.0287743
+0.0279983
+0.0273559
+0.0268631
+0.0265426
+0.0263796
+0.0263834
+0.026534
+0.0268629
+0.0273637
+0.0280021
+0.0287857
+0.029703
+0.0307263
+0.0318617
+0.0330871
+0.0344085
+0.0358152
+0.0372976
+0.038845
+0.0404488
+0.0421055
+0.0438091
+0.0455544
+0.0473344
+0.0491444
+0.0509843
+0.0528509
+0.0547415
+0.0566538
+0.0585855
+0.0605349
+0.0625003
+0.0644802
+0.0821943
+0.0819039
+0.0816679
+0.0814902
+0.0813711
+0.0813108
+0.0813095
+0.0813673
+0.0814839
+0.0816592
+0.0818927
+0.0821839
+0.0825323
+0.0817926
+0.0800665
+0.0783637
+0.0766856
+0.075034
+0.0734104
+0.0718137
+0.0702491
+0.0687086
+0.0671905
+0.0657057
+0.0642613
+0.0628601
+0.0614994
+0.0601178
+0.0587167
+0.0573378
+0.0560107
+0.0547391
+0.053527
+0.0523785
+0.0512979
+0.0502391
+0.0490569
+0.0477561
+0.0465221
+0.0453604
+0.0442767
+0.0432654
+0.0423423
+0.0415145
+0.0407876
+0.0401586
+0.0396397
+0.0392364
+0.0389523
+0.03879
+0.0387511
+0.038836
+0.0390437
+0.0393725
+0.0398173
+0.0395027
+0.0382467
+0.0370776
+0.036004
+0.0350273
+0.0341437
+0.0333806
+0.0327466
+0.0322492
+0.0318949
+0.0309743
+0.0300957
+0.0293517
+0.0287264
+0.0282575
+0.027953
+0.027794
+0.0277913
+0.0279342
+0.0282468
+0.0287236
+0.0293323
+0.0300813
+0.0309667
+0.0319496
+0.0330486
+0.0342473
+0.0355256
+0.0368897
+0.0383306
+0.0398399
+0.0414076
+0.0430274
+0.044696
+0.0464079
+0.0481587
+0.0499442
+0.0517608
+0.0536022
+0.0554672
+0.0573553
+0.0592642
+0.061192
+0.0631369
+0.0650961
+0.0836233
+0.0833355
+0.0831036
+0.082929
+0.0828119
+0.0827527
+0.0827515
+0.0828082
+0.0829228
+0.083095
+0.0833245
+0.0836107
+0.0839532
+0.0822707
+0.0805549
+0.0788626
+0.0771954
+0.0755549
+0.0739427
+0.0723578
+0.0708052
+0.0692872
+0.0677854
+0.066314
+0.0648831
+0.0634957
+0.0621488
+0.060797
+0.0594169
+0.0580658
+0.0567557
+0.0555012
+0.0543061
+0.0531744
+0.0521103
+0.0510671
+0.0500958
+0.0491026
+0.0479033
+0.046776
+0.0457258
+0.0447473
+0.0438554
+0.0430566
+0.0423533
+0.0417468
+0.0412479
+0.0408605
+0.0405877
+0.040432
+0.0403947
+0.0404761
+0.0406755
+0.0409912
+0.0414204
+0.0412232
+0.0400212
+0.0389055
+0.037882
+0.0369426
+0.0361059
+0.0353852
+0.0347877
+0.03432
+0.033306
+0.0323535
+0.0315135
+0.0307893
+0.0301938
+0.0297481
+0.0294589
+0.029304
+0.0292955
+0.0294311
+0.0297279
+0.0301813
+0.0307612
+0.0314762
+0.0323241
+0.0332722
+0.0343289
+0.0354896
+0.0367395
+0.0380601
+0.0394583
+0.040926
+0.0424536
+0.044035
+0.0456667
+0.0473436
+0.049061
+0.0508148
+0.0526014
+0.0544175
+0.0562603
+0.0581272
+0.0600152
+0.0619196
+0.0638424
+0.0656958
+0.0850833
+0.0847996
+0.0845717
+0.0844001
+0.084285
+0.0842269
+0.0842257
+0.0842814
+0.084394
+0.0845632
+0.0847887
+0.08507
+0.0845309
+0.082804
+0.0810995
+0.0794188
+0.0777635
+0.0761353
+0.0745356
+0.0729636
+0.0714241
+0.0699195
+0.0684453
+0.0669884
+0.0655723
+0.0641997
+0.0628586
+0.0615467
+0.0601838
+0.0588663
+0.0575744
+0.0563381
+0.0551612
+0.0540474
+0.0530009
+0.0519744
+0.0510203
+0.0501438
+0.0493432
+0.0482494
+0.0472321
+0.0462854
+0.0454237
+0.044653
+0.0439714
+0.0433875
+0.0429077
+0.0425354
+0.0422735
+0.042124
+0.0420882
+0.0421663
+0.0423577
+0.042661
+0.0430736
+0.0429865
+0.0418351
+0.0407672
+0.039781
+0.0388871
+0.0379957
+0.0371369
+0.03639
+0.035731
+0.0347143
+0.033798
+0.0329947
+0.0323116
+0.0317446
+0.031321
+0.0310465
+0.0308956
+0.0308819
+0.0310105
+0.0312924
+0.0317234
+0.0322756
+0.0329578
+0.0337685
+0.0346829
+0.0356979
+0.0368154
+0.0380264
+0.0393178
+0.0406727
+0.0420981
+0.0435847
+0.0451265
+0.0467201
+0.0483604
+0.050043
+0.0517635
+0.0535184
+0.0553044
+0.0571186
+0.0589584
+0.0608214
+0.0627057
+0.0645409
+0.0663624
+0.0865732
+0.0862944
+0.0860705
+0.0859018
+0.0857888
+0.0857317
+0.0857305
+0.0857853
+0.0858959
+0.0860621
+0.0862837
+0.0865602
+0.0851065
+0.0833915
+0.0816992
+0.0800311
+0.078387
+0.0767689
+0.0751797
+0.0736215
+0.0720961
+0.0706058
+0.0691528
+0.067727
+0.0663266
+0.0649684
+0.0636302
+0.0623401
+0.0610198
+0.0597253
+0.0584587
+0.0572415
+0.0560835
+0.0549885
+0.0539602
+0.0529568
+0.0520207
+0.0511614
+0.0503633
+0.0495925
+0.0487874
+0.0478744
+0.0470414
+0.0462909
+0.0456316
+0.0450692
+0.0446075
+0.0442495
+0.0439978
+0.0438542
+0.0438198
+0.0438948
+0.0440788
+0.0443702
+0.0447671
+0.0447875
+0.0436276
+0.0424537
+0.0413625
+0.0403537
+0.0394247
+0.0385977
+0.0378796
+0.0371819
+0.0361959
+0.0353181
+0.0345502
+0.0339066
+0.0333668
+0.032964
+0.0327006
+0.0325569
+0.0325385
+0.0326606
+0.0329284
+0.0333382
+0.0338642
+0.0345149
+0.0352899
+0.0361714
+0.0371457
+0.0382209
+0.0393887
+0.0406411
+0.0419665
+0.0433494
+0.0447945
+0.046296
+0.0478506
+0.0494535
+0.0511
+0.0527861
+0.0545081
+0.0562628
+0.058047
+0.0598583
+0.0616941
+0.0635162
+0.0652929
+0.0670941
+0.0880924
+0.0878184
+0.0875984
+0.0874327
+0.0873217
+0.0872656
+0.0872644
+0.0873182
+0.0874269
+0.0875902
+0.087808
+0.0874582
+0.0857342
+0.0840316
+0.0823496
+0.080692
+0.0790603
+0.0774562
+0.0758814
+0.0743379
+0.0728275
+0.0713525
+0.069915
+0.0685173
+0.0671416
+0.0657879
+0.064467
+0.0631941
+0.061922
+0.0606468
+0.0594087
+0.0582114
+0.0570731
+0.0559974
+0.0549879
+0.0540102
+0.0530927
+0.0522444
+0.0514529
+0.0506988
+0.0500293
+0.0494478
+0.0486878
+0.0479614
+0.0473254
+0.0467834
+0.0463387
+0.0459942
+0.0457521
+0.045614
+0.045581
+0.0456531
+0.04583
+0.0461104
+0.0464924
+0.0461012
+0.0449473
+0.0438531
+0.0427967
+0.0418169
+0.0409211
+0.040125
+0.0394347
+0.0386931
+0.0377466
+0.0369057
+0.0361715
+0.0355573
+0.0350429
+0.0346596
+0.0344117
+0.0342778
+0.0342552
+0.0343712
+0.0346257
+0.0350157
+0.0355168
+0.0361378
+0.0368787
+0.0377246
+0.0386598
+0.039694
+0.0408197
+0.0420295
+0.0433131
+0.0446577
+0.0460673
+0.0475358
+0.049053
+0.0506178
+0.0522277
+0.0538785
+0.0555667
+0.0572889
+0.0590421
+0.0608237
+0.0626281
+0.0643548
+0.066109
+0.0678885
+0.0896394
+0.0893702
+0.089154
+0.0889912
+0.0888821
+0.088827
+0.0888258
+0.0888787
+0.0889855
+0.089146
+0.0893599
+0.0881217
+0.0864082
+0.0847167
+0.0830485
+0.0814051
+0.079788
+0.0781988
+0.0766393
+0.0751114
+0.0736169
+0.072158
+0.0707368
+0.0693558
+0.0680046
+0.066669
+0.0653666
+0.0641115
+0.0628876
+0.0616324
+0.0604233
+0.0592465
+0.0581284
+0.0570726
+0.056074
+0.0551301
+0.0542297
+0.0533873
+0.0526078
+0.0518705
+0.0512163
+0.0506485
+0.0501699
+0.0496724
+0.0490586
+0.0485359
+0.0481074
+0.0477757
+0.0475426
+0.0474098
+0.047378
+0.0474474
+0.0476176
+0.0478875
+0.0482555
+0.0474499
+0.0463296
+0.0452793
+0.0442649
+0.0433342
+0.0424778
+0.0417114
+0.0410478
+0.0402668
+0.0393582
+0.0385525
+0.0378502
+0.0372636
+0.0367732
+0.0364081
+0.0361722
+0.0360459
+0.0360233
+0.0361336
+0.0363758
+0.0367472
+0.0372232
+0.0378162
+0.0385248
+0.0393371
+0.0402348
+0.0412295
+0.0423144
+0.0434826
+0.0447246
+0.0460279
+0.0473967
+0.0488255
+0.0503091
+0.0518414
+0.0534144
+0.0550296
+0.0566835
+0.0583728
+0.0600944
+0.0618457
+0.063554
+0.0652562
+0.0669868
+0.0687436
+0.0912128
+0.0909482
+0.0907358
+0.0905759
+0.0904687
+0.0904145
+0.0904134
+0.0904653
+0.0905702
+0.0907279
+0.0905432
+0.0888281
+0.0871293
+0.0854521
+0.0837986
+0.0821702
+0.0805684
+0.078995
+0.0774515
+0.0759399
+0.074462
+0.07302
+0.071616
+0.0702522
+0.0689266
+0.0676093
+0.0663263
+0.0650897
+0.0639043
+0.0626791
+0.0614976
+0.0603433
+0.059246
+0.058203
+0.0572227
+0.0562986
+0.0554175
+0.0545943
+0.0538231
+0.0531027
+0.0524638
+0.0519097
+0.0514407
+0.0510455
+0.0507419
+0.0503228
+0.0499096
+0.0495899
+0.0493655
+0.0492375
+0.0492069
+0.0492738
+0.0494377
+0.0496977
+0.050011
+0.048851
+0.0477634
+0.0467341
+0.045752
+0.0448501
+0.0440375
+0.0433206
+0.0426398
+0.0418959
+0.0410235
+0.0402511
+0.039579
+0.0390184
+0.0385503
+0.0382022
+0.0379774
+0.0378472
+0.0378256
+0.0379307
+0.0381615
+0.0385157
+0.0389722
+0.039539
+0.0402173
+0.0410015
+0.0418652
+0.0428221
+0.0438676
+0.0449955
+0.0461968
+0.0474598
+0.0487884
+0.0501776
+0.0516223
+0.0531182
+0.0546608
+0.0562405
+0.0578598
+0.0595156
+0.0612051
+0.0628914
+0.0645406
+0.0662178
+0.0679239
+0.0696571
+0.0928112
+0.0925512
+0.0923425
+0.0921853
+0.09208
+0.0920268
+0.0920257
+0.0920767
+0.0921798
+0.0923347
+0.0912811
+0.0895801
+0.0878959
+0.0862336
+0.0845953
+0.0829826
+0.0813968
+0.0798397
+0.0783129
+0.0768182
+0.0753576
+0.073933
+0.0725467
+0.0712007
+0.0698975
+0.0686066
+0.0673437
+0.0661261
+0.0649596
+0.0637839
+0.0626233
+0.0614987
+0.0604159
+0.0593913
+0.058431
+0.0575263
+0.0566646
+0.0558611
+0.055091
+0.0543873
+0.0537638
+0.0532231
+0.0527639
+0.0523787
+0.0520828
+0.0518779
+0.0517418
+0.0514335
+0.0512171
+0.0510939
+0.0510643
+0.0511287
+0.0512867
+0.0515374
+0.051428
+0.0503007
+0.0492451
+0.0482432
+0.047293
+0.0464199
+0.0456352
+0.0449057
+0.0442481
+0.0435744
+0.0427362
+0.0419953
+0.0413516
+0.0408154
+0.0403681
+0.0400358
+0.0398149
+0.0396841
+0.0396635
+0.0397637
+0.0399839
+0.0403221
+0.040764
+0.0413062
+0.0419559
+0.0427082
+0.0435449
+0.0444656
+0.0454733
+0.0465623
+0.0477242
+0.0489478
+0.0502371
+0.0515873
+0.0529936
+0.0544518
+0.0559578
+0.0575078
+0.0590938
+0.0607161
+0.0623697
+0.0639573
+0.0655797
+0.0672343
+0.068918
+0.0706268
+0.0944334
+0.0941779
+0.0939728
+0.0938183
+0.0937149
+0.0936626
+0.0936615
+0.0937116
+0.0938129
+0.0937724
+0.0920653
+0.090379
+0.08871
+0.0870632
+0.0854409
+0.0838444
+0.0822752
+0.0807351
+0.0792255
+0.0777484
+0.0763056
+0.074899
+0.0735309
+0.0722033
+0.0709185
+0.0696584
+0.0684127
+0.0672145
+0.0660672
+0.0649433
+0.0638034
+0.0627038
+0.0616394
+0.0606355
+0.0596952
+0.05881
+0.0579673
+0.0571763
+0.0564136
+0.0557267
+0.0551183
+0.054591
+0.0541434
+0.0537681
+0.0534799
+0.0532804
+0.0531699
+0.0531221
+0.0530946
+0.0529757
+0.0529472
+0.0530093
+0.0531617
+0.0534036
+0.052884
+0.0517945
+0.0507762
+0.0497977
+0.0488825
+0.0480383
+0.0472581
+0.0465388
+0.0459046
+0.0452966
+0.0444909
+0.0437797
+0.0431625
+0.0426491
+0.0422212
+0.0419036
+0.0416818
+0.0415552
+0.0415355
+0.0416313
+0.0418417
+0.042165
+0.042593
+0.0431122
+0.0437351
+0.0444573
+0.0452682
+0.0461546
+0.0471262
+0.0481778
+0.0493017
+0.050487
+0.051738
+0.05305
+0.0544185
+0.0558395
+0.0573091
+0.0588235
+0.0603794
+0.0619707
+0.0635199
+0.0650795
+0.0666746
+0.0683027
+0.0699615
+0.0716489
+0.0960782
+0.0958271
+0.0956255
+0.0954737
+0.095372
+0.0953206
+0.0953196
+0.0953688
+0.0954683
+0.0945866
+0.0928945
+0.0912236
+0.0895703
+0.0879396
+0.0863337
+0.084754
+0.0832021
+0.0816794
+0.0801876
+0.0787285
+0.077304
+0.075916
+0.0745665
+0.0732576
+0.0719917
+0.0707515
+0.0695246
+0.0683459
+0.0672179
+0.0661422
+0.0650228
+0.0639455
+0.0629155
+0.0619323
+0.0610119
+0.0601461
+0.0593224
+0.0585339
+0.0577891
+0.0571187
+0.0565252
+0.0560113
+0.0555751
+0.0552095
+0.0549289
+0.0547346
+0.0546271
+0.0545911
+0.0546048
+0.0546762
+0.0547875
+0.0547968
+0.0548935
+0.0550773
+0.054366
+0.0533068
+0.0523179
+0.0513984
+0.0505168
+0.0496853
+0.0489108
+0.0482162
+0.0476043
+0.0470578
+0.0462827
+0.0455995
+0.0450073
+0.0445152
+0.0441054
+0.0437961
+0.0435789
+0.0434563
+0.0434374
+0.043529
+0.0437303
+0.0440397
+0.0444544
+0.0449525
+0.0455502
+0.0462441
+0.0470285
+0.0478822
+0.0488195
+0.0498354
+0.0509245
+0.0520729
+0.0532867
+0.0545615
+0.055893
+0.0572775
+0.058711
+0.0601901
+0.0617116
+0.0632315
+0.0647239
+0.0662552
+0.0678226
+0.0694238
+0.0710564
+0.0727184
+0.0977444
+0.0974975
+0.0972994
+0.0971503
+0.0970504
+0.0969998
+0.0969988
+0.0970472
+0.0971414
+0.0954442
+0.0937675
+0.0921125
+0.0904754
+0.0888614
+0.0872724
+0.0857101
+0.0841757
+0.0826709
+0.0811974
+0.0797568
+0.078351
+0.0769818
+0.0756513
+0.0743616
+0.0731148
+0.0718939
+0.0706869
+0.0695279
+0.0684194
+0.067364
+0.0662923
+0.0652359
+0.0642369
+0.0632783
+0.0623778
+0.0615312
+0.0607263
+0.0599407
+0.0592137
+0.0585595
+0.0579809
+0.0574799
+0.0570549
+0.0566989
+0.0564257
+0.0562366
+0.0561319
+0.056097
+0.0561131
+0.0561827
+0.0562716
+0.0562807
+0.0563749
+0.0565538
+0.0558945
+0.0548648
+0.0539045
+0.0530174
+0.0521808
+0.0513534
+0.0506044
+0.0499281
+0.0493375
+0.0488364
+0.0481076
+0.0474507
+0.0468819
+0.0464096
+0.0460167
+0.0457104
+0.0455023
+0.0453834
+0.0453654
+0.0454531
+0.0456459
+0.0459424
+0.0463407
+0.0468229
+0.047397
+0.0480643
+0.0488175
+0.0496406
+0.0505452
+0.0515271
+0.0525821
+0.0537014
+0.0548792
+0.0561178
+0.0574133
+0.0587619
+0.0601601
+0.0616044
+0.0630902
+0.0645115
+0.0659749
+0.0674778
+0.0690175
+0.0705916
+0.0721978
+0.0738341
+0.0994309
+0.0991883
+0.0989935
+0.0988469
+0.0987487
+0.0986991
+0.0986981
+0.0987456
+0.0980256
+0.096344
+0.0946833
+0.0930444
+0.0914241
+0.0898271
+0.0882556
+0.0867109
+0.0851946
+0.0837081
+0.0822532
+0.0808314
+0.0794446
+0.0780946
+0.0767834
+0.075513
+0.0742795
+0.0730715
+0.0718972
+0.070758
+0.0696691
+0.0686328
+0.0676089
+0.0665734
+0.0655947
+0.0646705
+0.0637897
+0.0629621
+0.0621723
+0.0613935
+0.0606838
+0.0600457
+0.0594815
+0.0589933
+0.0585794
+0.0582326
+0.0579667
+0.0577826
+0.0576808
+0.0576467
+0.0576653
+0.0577329
+0.0578007
+0.0578095
+0.0579012
+0.0580754
+0.0574659
+0.0564649
+0.0555323
+0.0546716
+0.0538606
+0.0530594
+0.0523315
+0.0516755
+0.051105
+0.0506166
+0.0499619
+0.0493296
+0.0487828
+0.0483291
+0.0479475
+0.0476485
+0.047449
+0.0473335
+0.0473162
+0.0474003
+0.0475852
+0.0478697
+0.0482521
+0.04872
+0.0492721
+0.0499142
+0.0506382
+0.0514321
+0.0523057
+0.0532552
+0.0542766
+0.0553658
+0.0565117
+0.0577153
+0.0589757
+0.0602894
+0.0616529
+0.0630631
+0.0644432
+0.0658354
+0.06727
+0.0687446
+0.0702565
+0.0718034
+0.0733832
+0.0749936
+0.101137
+0.100898
+0.100707
+0.100563
+0.100466
+0.100417
+0.100416
+0.100463
+0.0989503
+0.0972848
+0.0956404
+0.0940183
+0.092415
+0.0908354
+0.0892816
+0.087755
+0.0862571
+0.0847892
+0.0833531
+0.0819504
+0.0805829
+0.0792523
+0.0779606
+0.0767097
+0.0754834
+0.074295
+0.0731529
+0.0720337
+0.0709644
+0.0699473
+0.0689699
+0.0679552
+0.0669967
+0.066097
+0.0652446
+0.0644357
+0.063642
+0.0628814
+0.0621887
+0.0615662
+0.0610161
+0.0605402
+0.0601405
+0.0598073
+0.0595484
+0.0593692
+0.0592701
+0.059237
+0.0592578
+0.0593236
+0.0593712
+0.0593798
+0.059469
+0.0596387
+0.0590767
+0.0581035
+0.0571976
+0.0563623
+0.0555761
+0.0548
+0.0540899
+0.0534555
+0.0529043
+0.0524279
+0.0518424
+0.0512334
+0.0507071
+0.0502687
+0.0498949
+0.0496077
+0.0494161
+0.0493038
+0.0492872
+0.0493679
+0.0495455
+0.0498188
+0.0501864
+0.0506382
+0.0511696
+0.0517882
+0.0524871
+0.0532535
+0.0540977
+0.0550163
+0.0560055
+0.0570618
+0.0581809
+0.0593507
+0.060577
+0.0618567
+0.0631865
+0.0645239
+0.0658414
+0.0672046
+0.0686106
+0.070057
+0.0715412
+0.0730609
+0.074614
+0.0761985
+0.102861
+0.102626
+0.102438
+0.102297
+0.102202
+0.102154
+0.102153
+0.101584
+0.0999146
+0.0982654
+0.0966377
+0.0950326
+0.0934467
+0.0918849
+0.0903491
+0.0888409
+0.0873616
+0.0859126
+0.0844956
+0.0831122
+0.0817641
+0.080453
+0.0791809
+0.0779438
+0.076731
+0.0755622
+0.0744396
+0.0733527
+0.0723029
+0.0713049
+0.070361
+0.0693787
+0.0684401
+0.0675596
+0.0667383
+0.0659491
+0.0651518
+0.0644091
+0.063733
+0.0631257
+0.0625893
+0.0621255
+0.061736
+0.0614163
+0.0611642
+0.0609898
+0.0608937
+0.0608645
+0.0608874
+0.0609515
+0.0609709
+0.0609792
+0.0610662
+0.0612314
+0.0607239
+0.0597774
+0.0588973
+0.058084
+0.0573239
+0.0565711
+0.0558789
+0.0552651
+0.054732
+0.0542671
+0.0537465
+0.0531592
+0.0526522
+0.052225
+0.0518617
+0.0515855
+0.0514012
+0.051292
+0.051276
+0.0513536
+0.0515243
+0.0517872
+0.0521409
+0.0525717
+0.0530837
+0.0536803
+0.0543587
+0.0551017
+0.0559181
+0.0568072
+0.0577658
+0.0587904
+0.0598777
+0.0610209
+0.0622143
+0.063461
+0.0647528
+0.0659931
+0.0672819
+0.0686165
+0.0699942
+0.0714125
+0.0728691
+0.0743617
+0.0758882
+0.0774465
+0.0896784
+0.087743
+0.0858199
+0.0839099
+0.082014
+0.0801331
+0.0782683
+0.0764207
+0.0745918
+0.0727829
+0.0709921
+0.069224
+0.0674805
+0.0657639
+0.0640762
+0.0624197
+0.060797
+0.059211
+0.0576645
+0.056161
+0.0546961
+0.0532766
+0.0519107
+0.0506029
+0.0493577
+0.04818
+0.0470748
+0.0460473
+0.045103
+0.044247
+0.0434704
+0.0427847
+0.0422018
+0.0417258
+0.0413606
+0.041109
+0.0409732
+0.0409542
+0.0410523
+0.0412667
+0.0415954
+0.0420359
+0.0425847
+0.0432377
+0.0439901
+0.0448342
+0.0457503
+0.046751
+0.0478313
+0.0489857
+0.0502092
+0.0514969
+0.0528441
+0.0542463
+0.0556993
+0.0571994
+0.0587429
+0.0603265
+0.0619471
+0.0636018
+0.0652881
+0.0670036
+0.0687461
+0.0705137
+0.0723044
+0.0741165
+0.0759482
+0.077724
+0.0792423
+0.0807881
+0.0823559
+0.0839517
+0.0855737
+0.0872206
+0.088891
+0.0905836
+0.0922307
+0.0938961
+0.0955825
+0.0967086
+0.0969342
+0.0972043
+0.0975172
+0.0978782
+0.0982866
+0.098742
+0.0992365
+0.0997717
+0.100346
+0.100963
+0.101616
+0.102311
+0.103048
+0.103827
+0.104645
+0.105494
+0.106345
+0.107234
+0.108161
+0.109123
+0.0887438
+0.0867876
+0.0848428
+0.0829104
+0.080991
+0.0790858
+0.0771957
+0.0753219
+0.0734656
+0.0716282
+0.0698112
+0.0680149
+0.0662397
+0.06449
+0.062768
+0.0610761
+0.0594167
+0.0577928
+0.0562073
+0.0546637
+0.0531655
+0.0517132
+0.0503049
+0.0489542
+0.047666
+0.0464454
+0.0452979
+0.0442292
+0.0432451
+0.0423516
+0.0415507
+0.0408328
+0.0402216
+0.0397219
+0.0393381
+0.0390734
+0.0389305
+0.0389106
+0.0390138
+0.0392393
+0.0395849
+0.0400475
+0.0406232
+0.0413072
+0.0420941
+0.0429737
+0.0439285
+0.0449698
+0.0460918
+0.0472888
+0.0485551
+0.0498855
+0.051275
+0.0527189
+0.0542129
+0.055753
+0.0573355
+0.0589569
+0.0606141
+0.0623042
+0.0640247
+0.0657732
+0.0675475
+0.0693455
+0.0711656
+0.0730037
+0.0748577
+0.07637
+0.0779105
+0.0794747
+0.081068
+0.0826885
+0.0843349
+0.0860055
+0.0876991
+0.089355
+0.0910203
+0.092705
+0.0944066
+0.0953618
+0.0956386
+0.0959646
+0.0962971
+0.0966626
+0.0970762
+0.0975372
+0.0980451
+0.0985959
+0.0991858
+0.0998203
+0.100492
+0.101195
+0.10194
+0.102726
+0.103553
+0.104403
+0.105263
+0.106162
+0.107097
+0.108067
+0.087854
+0.0858775
+0.0839116
+0.0819572
+0.080015
+0.0780859
+0.076171
+0.0742714
+0.0723882
+0.0705227
+0.0686765
+0.0668511
+0.0650482
+0.0632663
+0.0615101
+0.0597825
+0.0580863
+0.056424
+0.054799
+0.0532145
+0.0516744
+0.0501826
+0.0487392
+0.0473438
+0.0460105
+0.0447447
+0.0435525
+0.0424398
+0.0414133
+0.0404794
+0.0396447
+0.0389063
+0.0382643
+0.0377387
+0.0373345
+0.0370556
+0.0369048
+0.0368838
+0.0369927
+0.0372304
+0.0375945
+0.0380813
+0.0386862
+0.0394038
+0.0402281
+0.0411457
+0.0421419
+0.0432263
+0.0443924
+0.0456339
+0.0469448
+0.0483196
+0.0497529
+0.0512397
+0.0527756
+0.0543565
+0.0559784
+0.057638
+0.059332
+0.0610577
+0.0628123
+0.0645936
+0.0663994
+0.0682263
+0.0700725
+0.0719379
+0.0735162
+0.0750505
+0.0766104
+0.0782007
+0.0798193
+0.0814648
+0.0831353
+0.0848296
+0.0864947
+0.0881596
+0.0898417
+0.0915441
+0.093267
+0.0940467
+0.0943273
+0.0946579
+0.0950378
+0.0954665
+0.0959005
+0.0963672
+0.0968811
+0.0974417
+0.0980479
+0.0986909
+0.0993768
+0.100099
+0.100861
+0.101661
+0.102497
+0.103348
+0.104216
+0.105124
+0.106065
+0.107038
+0.0870055
+0.0850141
+0.0830278
+0.081052
+0.0790876
+0.0771353
+0.0751962
+0.0732713
+0.0713617
+0.0694687
+0.0675937
+0.0657382
+0.063904
+0.0620928
+0.0603055
+0.0585424
+0.0568091
+0.0551084
+0.0534434
+0.0518175
+0.0502345
+0.0486986
+0.0472145
+0.0457814
+0.0444012
+0.0430882
+0.0418487
+0.0406896
+0.0396177
+0.0386404
+0.037765
+0.0369988
+0.0363337
+0.0357798
+0.0353532
+0.0350585
+0.0348991
+0.0348769
+0.034992
+0.0352432
+0.0356276
+0.0361409
+0.0367778
+0.0375319
+0.0383963
+0.0393526
+0.0403951
+0.0415251
+0.0427376
+0.0440258
+0.0453833
+0.0468039
+0.0482822
+0.049813
+0.0513916
+0.0530137
+0.0546755
+0.0563734
+0.0581043
+0.0598654
+0.061654
+0.0634674
+0.0653011
+0.0671562
+0.0690309
+0.0706828
+0.0722101
+0.0737651
+0.0753516
+0.0769679
+0.0786119
+0.0802821
+0.0819768
+0.0836514
+0.0853138
+0.0869946
+0.0886975
+0.0904215
+0.0921653
+0.0927647
+0.0930492
+0.0933843
+0.0937694
+0.0942038
+0.0946786
+0.0952
+0.0957532
+0.0963203
+0.0969336
+0.0975922
+0.0982912
+0.0990263
+0.099797
+0.100609
+0.101462
+0.102328
+0.103205
+0.104117
+0.105062
+0.106045
+0.0861881
+0.0841836
+0.0821885
+0.0801965
+0.0782106
+0.0762359
+0.0742733
+0.0723238
+0.0703885
+0.0684686
+0.0665654
+0.0646805
+0.0628153
+0.0609719
+0.0591521
+0.0573582
+0.055589
+0.0538498
+0.0521446
+0.0504769
+0.0488505
+0.0472697
+0.0457392
+0.0442642
+0.0428435
+0.0414812
+0.0401922
+0.0389838
+0.0378637
+0.0368399
+0.0359207
+0.0351143
+0.0344286
+0.0338493
+0.033398
+0.0330859
+0.032917
+0.0328934
+0.0330155
+0.0332816
+0.0336884
+0.0342308
+0.0349025
+0.0356963
+0.0366024
+0.0375945
+0.0386854
+0.0398669
+0.0411292
+0.0424662
+0.0438719
+0.04534
+0.0468644
+0.04844
+0.0500619
+0.0517258
+0.0534276
+0.055164
+0.0569317
+0.0587279
+0.0605499
+0.0623926
+0.064257
+0.0661413
+0.0678727
+0.0693918
+0.0709409
+0.0725231
+0.0741362
+0.0757784
+0.0774477
+0.0791424
+0.0808242
+0.0824849
+0.0841651
+0.0858683
+0.0875932
+0.0893385
+0.091103
+0.0915172
+0.0918056
+0.0921452
+0.0925354
+0.0929738
+0.0934533
+0.0939815
+0.0945576
+0.0951805
+0.0958495
+0.0965223
+0.0972331
+0.0979821
+0.0987642
+0.0995883
+0.100452
+0.101346
+0.102225
+0.103141
+0.104096
+0.105087
+0.0854191
+0.0833961
+0.0813817
+0.0793767
+0.0773818
+0.0753894
+0.0734041
+0.0714309
+0.0694708
+0.0675248
+0.0655942
+0.0636805
+0.0617852
+0.05991
+0.058057
+0.0562282
+0.0544261
+0.0526523
+0.050907
+0.0491973
+0.0475271
+0.0459008
+0.044323
+0.0427993
+0.0413356
+0.0399298
+0.038589
+0.0373287
+0.0361574
+0.0350838
+0.0341173
+0.0332672
+0.0325426
+0.0319521
+0.0314739
+0.0311425
+0.0309629
+0.0309379
+0.0310676
+0.0313503
+0.0317818
+0.0323562
+0.0330661
+0.0339028
+0.0348433
+0.0358841
+0.0370254
+0.0382581
+0.0395718
+0.0409597
+0.0424154
+0.0439321
+0.0455038
+0.0471249
+0.0487905
+0.0504963
+0.0522382
+0.0540128
+0.055817
+0.057648
+0.059503
+0.0613771
+0.0632714
+0.0650886
+0.0665983
+0.0681405
+0.0697174
+0.0713267
+0.0729663
+0.0746342
+0.0763286
+0.0780112
+0.079671
+0.0813552
+0.0830583
+0.0847837
+0.0865302
+0.0882965
+0.0900579
+0.0903056
+0.0905979
+0.090942
+0.0913374
+0.0917781
+0.0922639
+0.0927988
+0.0933822
+0.0940129
+0.0946902
+0.0954129
+0.0961802
+0.096962
+0.0977657
+0.0985982
+0.0994719
+0.100386
+0.101223
+0.102091
+0.102992
+0.103931
+0.0846998
+0.0826592
+0.0806264
+0.0786021
+0.076587
+0.0745818
+0.0725873
+0.0705948
+0.0686107
+0.0666396
+0.0646827
+0.0627412
+0.0608166
+0.0589106
+0.057025
+0.0551621
+0.053324
+0.0515135
+0.0497336
+0.0479837
+0.0462697
+0.0445975
+0.042972
+0.0413986
+0.0398834
+0.0384335
+0.037046
+0.0357313
+0.0345058
+0.0333792
+0.0323618
+0.0314643
+0.0306972
+0.0300704
+0.0295868
+0.0292341
+0.0290427
+0.029016
+0.0291543
+0.0294553
+0.0299142
+0.0305238
+0.0312752
+0.0321552
+0.0331356
+0.0342284
+0.0354231
+0.0367097
+0.0380769
+0.0395173
+0.0410242
+0.0425905
+0.0442099
+0.0458767
+0.0475861
+0.0493335
+0.051115
+0.0529273
+0.0547673
+0.0566322
+0.0585194
+0.0604241
+0.0623343
+0.0638329
+0.0653669
+0.0669375
+0.0685421
+0.0701784
+0.0718442
+0.0735376
+0.0752205
+0.0768782
+0.0785619
+0.0802695
+0.081995
+0.0837424
+0.0855101
+0.0872971
+0.0888591
+0.0891127
+0.0894193
+0.0897761
+0.0901766
+0.0906196
+0.0911115
+0.0916532
+0.0922438
+0.0928823
+0.0935677
+0.0942991
+0.0950753
+0.0958953
+0.096758
+0.097632
+0.0983885
+0.0991876
+0.100028
+0.100906
+0.101818
+0.102768
+0.0840315
+0.0819742
+0.079924
+0.0778815
+0.0758472
+0.0738219
+0.0718063
+0.0698013
+0.0678077
+0.0658155
+0.0638333
+0.0618651
+0.0599124
+0.0579767
+0.0560598
+0.0541636
+0.0522905
+0.0504429
+0.0486238
+0.0468366
+0.0450838
+0.0433659
+0.0416923
+0.0400687
+0.0385012
+0.0369972
+0.0355645
+0.0341997
+0.0329172
+0.0317343
+0.0306624
+0.0297136
+0.0289
+0.0282334
+0.0277243
+0.0273664
+0.0271619
+0.0271333
+0.0272812
+0.0276027
+0.0280918
+0.02874
+0.0295369
+0.0304544
+0.0314879
+0.0326358
+0.0338867
+0.0352295
+0.0366519
+0.0381462
+0.0397051
+0.0413215
+0.0429887
+0.0447011
+0.0464537
+0.0482422
+0.0500626
+0.0519116
+0.0537863
+0.0556841
+0.0576024
+0.0595364
+0.0610983
+0.0626238
+0.0641868
+0.0657855
+0.0674175
+0.0690804
+0.0707721
+0.0724549
+0.0741096
+0.0757916
+0.077499
+0.0792294
+0.0809771
+0.082746
+0.0845346
+0.0863417
+0.0876987
+0.0879556
+0.0882662
+0.0886298
+0.0890399
+0.0894973
+0.0899978
+0.0905462
+0.0911439
+0.09179
+0.0924836
+0.0932234
+0.0940085
+0.0948378
+0.0956459
+0.0964426
+0.0972084
+0.0980171
+0.0988615
+0.0997395
+0.100652
+0.101604
+0.0834154
+0.0813425
+0.079276
+0.0772163
+0.0751641
+0.0731198
+0.0710843
+0.0690583
+0.0670426
+0.0650383
+0.0630433
+0.0610552
+0.0590757
+0.0571116
+0.0551647
+0.0532366
+0.0513297
+0.0494462
+0.0475891
+0.0457614
+0.043967
+0.04221
+0.0404908
+0.0388169
+0.0371968
+0.0356377
+0.0341481
+0.0327373
+0.0314012
+0.0301588
+0.0290288
+0.0280248
+0.0271607
+0.0264502
+0.0259061
+0.0255349
+0.0253157
+0.025285
+0.0254436
+0.025788
+0.0263109
+0.0270019
+0.0278486
+0.0288199
+0.0299098
+0.0311161
+0.0324256
+0.0338265
+0.0353055
+0.0368544
+0.0384657
+0.040132
+0.0418466
+0.0436039
+0.0453989
+0.0472273
+0.0490854
+0.0509699
+0.052878
+0.0548073
+0.0567552
+0.0583997
+0.0599141
+0.0614691
+0.0630606
+0.0646872
+0.0663462
+0.0680353
+0.0697172
+0.0713682
+0.0730475
+0.0747534
+0.0764839
+0.0782368
+0.0800063
+0.0817961
+0.083605
+0.0854318
+0.0865782
+0.0868384
+0.087153
+0.0875212
+0.0879364
+0.0883995
+0.0889143
+0.089479
+0.0900838
+0.0907375
+0.091439
+0.0921873
+0.0929283
+0.0936879
+0.0944689
+0.0952532
+0.0960187
+0.0968276
+0.097679
+0.0985565
+0.0994709
+0.100425
+0.0828526
+0.0807653
+0.0786836
+0.076608
+0.074539
+0.0724771
+0.0704231
+0.0683775
+0.0663411
+0.0643149
+0.0622999
+0.0602937
+0.0582981
+0.056317
+0.0543432
+0.0523849
+0.0504457
+0.048528
+0.0466343
+0.0447677
+0.0429318
+0.0411306
+0.0393689
+0.0376511
+0.0359785
+0.0343642
+0.0328168
+0.0313462
+0.0299637
+0.0286643
+0.0274729
+0.0264098
+0.025491
+0.0247327
+0.0241498
+0.0237555
+0.0235286
+0.0234956
+0.0236662
+0.0240361
+0.0245962
+0.0253341
+0.0262346
+0.0272635
+0.0284132
+0.0296803
+0.0310505
+0.0325106
+0.0340468
+0.0356505
+0.0373138
+0.0390293
+0.0407903
+0.0425912
+0.0444272
+0.046294
+0.0481881
+0.0501063
+0.0520461
+0.0540051
+0.0557427
+0.0572436
+0.0587877
+0.0603717
+0.0619915
+0.0636454
+0.0653309
+0.0670109
+0.068657
+0.0703329
+0.0720364
+0.0737657
+0.0755189
+0.0772936
+0.0790842
+0.0808944
+0.0827231
+0.0845689
+0.0854947
+0.0857583
+0.0860767
+0.0864496
+0.0868742
+0.087343
+0.0878639
+0.088436
+0.0890583
+0.0897262
+0.090385
+0.0910355
+0.0917281
+0.0924674
+0.0932522
+0.0940764
+0.0948513
+0.0956599
+0.0965024
+0.0973651
+0.098254
+0.0991814
+0.0823443
+0.0802438
+0.0781482
+0.076058
+0.0739736
+0.0718955
+0.0698243
+0.0677606
+0.0657052
+0.0636588
+0.0616222
+0.0595967
+0.0575796
+0.0555729
+0.0535806
+0.0516044
+0.0496428
+0.0476928
+0.0457646
+0.043861
+0.0419854
+0.0401418
+0.0383347
+0.0365695
+0.0348527
+0.0331866
+0.0315816
+0.0300506
+0.0286056
+0.0272535
+0.0259975
+0.0248714
+0.0238936
+0.0230828
+0.0224572
+0.0220326
+0.0218152
+0.0217796
+0.0219636
+0.0223616
+0.0229627
+0.0237513
+0.0247096
+0.0257993
+0.0270115
+0.0283414
+0.0297732
+0.031293
+0.0328861
+0.0345437
+0.0362579
+0.038021
+0.0398266
+0.0416692
+0.043544
+0.0454471
+0.0473751
+0.049325
+0.0512943
+0.0531336
+0.0546182
+0.0561491
+0.0577226
+0.059335
+0.0609823
+0.0626628
+0.0643399
+0.06598
+0.0676512
+0.0693514
+0.0710785
+0.0728305
+0.0746056
+0.0764016
+0.0782126
+0.0800425
+0.0818902
+0.0836128
+0.0844419
+0.0847147
+0.085037
+0.0854144
+0.085846
+0.0863286
+0.086856
+0.0874347
+0.088008
+0.0885627
+0.089167
+0.0898206
+0.0905225
+0.0912716
+0.0920668
+0.0928682
+0.0936135
+0.094397
+0.0952116
+0.0960693
+0.0969689
+0.0979018
+0.0818914
+0.079779
+0.0776709
+0.0755675
+0.0734691
+0.0713764
+0.0692897
+0.0672096
+0.0651368
+0.0630719
+0.0610158
+0.0589694
+0.0569337
+0.0549061
+0.0528887
+0.0508856
+0.0488986
+0.0469298
+0.0449747
+0.0430362
+0.041123
+0.0392388
+0.0373881
+0.035576
+0.0338088
+0.0320939
+0.03044
+0.0288578
+0.0273533
+0.0259385
+0.0246155
+0.023423
+0.022382
+0.0215143
+0.0208417
+0.0203834
+0.0201542
+0.0201559
+0.0203545
+0.0207834
+0.0214288
+0.0222718
+0.023291
+0.0244441
+0.0257202
+0.0271135
+0.0286068
+0.0301854
+0.031834
+0.0335436
+0.0353064
+0.0371148
+0.0389624
+0.040844
+0.042755
+0.0446917
+0.0466509
+0.0486298
+0.0505796
+0.0520449
+0.0535597
+0.0551201
+0.0567221
+0.0583622
+0.0600361
+0.0617089
+0.0633413
+0.0650066
+0.0667023
+0.068426
+0.0701759
+0.0719498
+0.0737458
+0.0755577
+0.0773888
+0.0790005
+0.0805227
+0.0820752
+0.0833612
+0.0836648
+0.0840243
+0.0844234
+0.0848601
+0.0853172
+0.0857744
+0.086275
+0.0867855
+0.0873471
+0.0879596
+0.088622
+0.0893333
+0.0900922
+0.0908945
+0.0915936
+0.092329
+0.0931102
+0.093936
+0.0948053
+0.0957117
+0.0966548
+0.081495
+0.079372
+0.0772528
+0.0751376
+0.073027
+0.0709212
+0.0688207
+0.0667259
+0.0646376
+0.0625563
+0.0604826
+0.0584176
+0.056362
+0.054317
+0.0522795
+0.0502522
+0.0482391
+0.0462422
+0.0442636
+0.0423059
+0.0403595
+0.038438
+0.0365467
+0.0346907
+0.0328759
+0.0311096
+0.0294004
+0.027759
+0.0261915
+0.0247182
+0.0233575
+0.0220972
+0.0209905
+0.0200628
+0.0193397
+0.018845
+0.0185968
+0.018605
+0.0188607
+0.0193227
+0.0200153
+0.0209153
+0.0219975
+0.0232168
+0.0245568
+0.0260124
+0.0275655
+0.0292005
+0.0309016
+0.0326601
+0.0344681
+0.0363182
+0.0382044
+0.0401215
+0.0420654
+0.0440324
+0.0460197
+0.0480247
+0.0495317
+0.0510271
+0.0525713
+0.0541601
+0.0557897
+0.0574564
+0.0591221
+0.0607461
+0.0624037
+0.0640934
+0.0658125
+0.067559
+0.0693297
+0.0711188
+0.0729297
+0.0744248
+0.0759123
+0.0774333
+0.0789857
+0.0805677
+0.0821778
+0.082628
+0.082992
+0.083344
+0.0836973
+0.0841063
+0.08457
+0.0850669
+0.0855864
+0.0861557
+0.0867766
+0.087448
+0.0881688
+0.0889377
+0.0896217
+0.0903201
+0.0910658
+0.0918577
+0.0926947
+0.093573
+0.0944866
+0.0954418
+0.0811521
+0.0790232
+0.0768948
+0.0747696
+0.0726482
+0.0705311
+0.0684186
+0.0663112
+0.0642094
+0.0621137
+0.0600248
+0.0579434
+0.0558703
+0.0538066
+0.0517534
+0.0497072
+0.0476712
+0.0456494
+0.043644
+0.0416572
+0.0396919
+0.0377474
+0.0358197
+0.033924
+0.0320658
+0.0302522
+0.0284917
+0.0267946
+0.0251671
+0.02363
+0.0222029
+0.0209082
+0.0197387
+0.0187491
+0.0179733
+0.0174398
+0.0171713
+0.0171802
+0.0174634
+0.0179615
+0.0187045
+0.0196647
+0.020812
+0.0221099
+0.02352
+0.0250426
+0.0266584
+0.0283477
+0.0300959
+0.0318988
+0.0337476
+0.0356352
+0.0375557
+0.0395043
+0.0414771
+0.0434708
+0.0454826
+0.0470882
+0.0485601
+0.0500845
+0.0516569
+0.0532729
+0.0549289
+0.0565801
+0.0581937
+0.059844
+0.061528
+0.0632428
+0.0649825
+0.0667442
+0.068437
+0.0698859
+0.0713404
+0.072825
+0.0743445
+0.0758969
+0.0774801
+0.0790923
+0.0807317
+0.0815458
+0.0818125
+0.0821367
+0.0825179
+0.0829356
+0.0834058
+0.0838985
+0.0844252
+0.0850023
+0.0856316
+0.0863119
+0.0870421
+0.087714
+0.0883731
+0.0890813
+0.0898373
+0.09064
+0.0914881
+0.0923715
+0.0932969
+0.0942641
+0.0808637
+0.078727
+0.0765934
+0.0744631
+0.0723338
+0.0702072
+0.0680847
+0.0659666
+0.0638534
+0.0617457
+0.0596439
+0.0575487
+0.0554609
+0.0533814
+0.0513111
+0.0492513
+0.0471982
+0.0451553
+0.0431269
+0.0411151
+0.0391226
+0.0371523
+0.0352082
+0.033284
+0.031388
+0.0295328
+0.0277266
+0.0259796
+0.0242976
+0.0227016
+0.0212121
+0.019853
+0.0186528
+0.0176098
+0.0167814
+0.0162088
+0.0159196
+0.0159291
+0.016237
+0.0167768
+0.0175699
+0.0185888
+0.0197985
+0.0211588
+0.0226282
+0.024207
+0.025875
+0.0276162
+0.0294123
+0.0312546
+0.0331394
+0.0350597
+0.0370101
+0.038986
+0.0409838
+0.0430003
+0.044726
+0.0461692
+0.0476694
+0.0492214
+0.0508205
+0.0524623
+0.0540846
+0.0556843
+0.0573231
+0.0589978
+0.0607053
+0.062443
+0.0639699
+0.065371
+0.0668146
+0.0682571
+0.0697386
+0.0712566
+0.0728089
+0.0743933
+0.0760078
+0.0776506
+0.0793199
+0.0803045
+0.0805754
+0.0809048
+0.0812919
+0.0817359
+0.0822358
+0.0827639
+0.0833054
+0.0838902
+0.0845278
+0.0852169
+0.0858689
+0.0864866
+0.087155
+0.087873
+0.0886394
+0.0894528
+0.090312
+0.0912068
+0.0921439
+0.0931036
+0.0806338
+0.0784909
+0.0763507
+0.0742134
+0.0720793
+0.0699487
+0.0678199
+0.0656933
+0.0635711
+0.0614536
+0.0593415
+0.0572352
+0.0551356
+0.0530433
+0.0509593
+0.0488846
+0.0468205
+0.044763
+0.042716
+0.0406839
+0.0386691
+0.0366746
+0.0347037
+0.0327607
+0.0308509
+0.0289615
+0.0271173
+0.0253283
+0.0236
+0.0219534
+0.0204093
+0.0189928
+0.0177345
+0.0166624
+0.0157843
+0.0151741
+0.0148648
+0.014875
+0.0152043
+0.0157873
+0.0166277
+0.0177009
+0.0189674
+0.0203911
+0.0219198
+0.0235461
+0.0252579
+0.0270388
+0.0288709
+0.0307457
+0.0326598
+0.0346068
+0.0365813
+0.0385792
+0.040597
+0.0424584
+0.0438669
+0.0453374
+0.0468643
+0.0484421
+0.0500661
+0.0516544
+0.053237
+0.0548615
+0.0565241
+0.0582218
+0.0595707
+0.0609154
+0.0623082
+0.0637384
+0.0651753
+0.0666533
+0.0681696
+0.0697218
+0.0713075
+0.0729245
+0.0745709
+0.0762446
+0.077944
+0.079058
+0.0793332
+0.0796677
+0.0800608
+0.0805116
+0.0810191
+0.0815778
+0.0821391
+0.0827546
+0.0834231
+0.0840974
+0.0846714
+0.0852978
+0.0859755
+0.0867033
+0.0874799
+0.088304
+0.0891743
+0.0900803
+0.091029
+0.0918889
+0.0804577
+0.0783132
+0.0761702
+0.0740277
+0.0718881
+0.0697517
+0.0676187
+0.0654896
+0.0633632
+0.0612386
+0.0591187
+0.0570043
+0.0548958
+0.052794
+0.0506998
+0.048614
+0.0465379
+0.0444727
+0.0424144
+0.0403671
+0.0383357
+0.0363229
+0.0343318
+0.0323665
+0.030432
+0.0285345
+0.0266745
+0.0248537
+0.0230899
+0.0214041
+0.0198173
+0.0183552
+0.0170499
+0.0159317
+0.015011
+0.0143679
+0.0140408
+0.0140517
+0.0143998
+0.0150386
+0.0159186
+0.0170365
+0.0183489
+0.0198147
+0.0214014
+0.0230751
+0.0248194
+0.0266297
+0.028488
+0.0303865
+0.0323219
+0.034288
+0.0362799
+0.0382935
+0.040218
+0.0416678
+0.0431021
+0.0445979
+0.0461492
+0.0477507
+0.0492992
+0.0508607
+0.0524673
+0.0540264
+0.0552555
+0.0565332
+0.0578656
+0.0592491
+0.0606644
+0.0620952
+0.0635692
+0.0650837
+0.0666357
+0.0682228
+0.0698425
+0.0714927
+0.0731713
+0.0748763
+0.076606
+0.0778533
+0.0781327
+0.0784723
+0.0788713
+0.0793289
+0.0798439
+0.0804153
+0.0810031
+0.0816272
+0.0823049
+0.0829323
+0.0835143
+0.0841493
+0.0848362
+0.0855737
+0.0863604
+0.0871951
+0.0880698
+0.0889859
+0.0898627
+0.0906927
+0.0803346
+0.0781867
+0.0760412
+0.0738984
+0.0717583
+0.0696192
+0.0674828
+0.0653501
+0.0632213
+0.0610969
+0.0589766
+0.0568569
+0.0547427
+0.0526348
+0.0505339
+0.048441
+0.0463572
+0.0442836
+0.0422219
+0.0401675
+0.0381255
+0.0361009
+0.0340969
+0.0321172
+0.0301667
+0.0282514
+0.0263791
+0.0245468
+0.0227656
+0.0210617
+0.0194552
+0.0179637
+0.0166277
+0.015479
+0.0145297
+0.0138643
+0.013525
+0.0135363
+0.0138973
+0.0145647
+0.0154717
+0.0166197
+0.0179613
+0.0194527
+0.0210666
+0.022777
+0.0245545
+0.0263723
+0.028243
+0.0301569
+0.0321061
+0.0340847
+0.0360878
+0.0380421
+0.0395828
+0.0409792
+0.0424367
+0.0439551
+0.0455284
+0.0470302
+0.0485659
+0.0498698
+0.0510452
+0.0522427
+0.0535026
+0.0548212
+0.0561942
+0.057593
+0.0590169
+0.0604866
+0.0619989
+0.0635508
+0.0651394
+0.066762
+0.0684164
+0.0701001
+0.0718113
+0.0735478
+0.0753081
+0.076648
+0.0769439
+0.0773008
+0.0777178
+0.0781897
+0.0787122
+0.0792826
+0.0798618
+0.0804966
+0.0811855
+0.0818093
+0.0823992
+0.0830427
+0.0837387
+0.0844857
+0.0852825
+0.0861209
+0.0870024
+0.0878813
+0.0886905
+0.0895313
+0.0802604
+0.0781136
+0.0759666
+0.0738221
+0.0716804
+0.0695417
+0.0674064
+0.0652721
+0.0631406
+0.0610134
+0.0588908
+0.0567735
+0.0546618
+0.0525567
+0.0504588
+0.0483668
+0.0462796
+0.0442024
+0.0421367
+0.0400836
+0.0380387
+0.0360096
+0.0340006
+0.0320154
+0.0300586
+0.0281362
+0.0262559
+0.0244145
+0.0226229
+0.0209074
+0.0192884
+0.0177922
+0.0164524
+0.0153101
+0.0143698
+0.0136967
+0.0133532
+0.0133646
+0.0137301
+0.0144052
+0.0153217
+0.0164801
+0.0178323
+0.0193336
+0.0209566
+0.0226754
+0.0244603
+0.0262845
+0.0281611
+0.0300802
+0.0320341
+0.0340169
+0.0360015
+0.037622
+0.0389806
+0.0403977
+0.0418755
+0.0434136
+0.0448594
+0.0458599
+0.0469314
+0.0480687
+0.0492405
+0.0504803
+0.0517831
+0.0531443
+0.0545245
+0.0559407
+0.0574056
+0.0589156
+0.0604672
+0.0620574
+0.0636832
+0.0653421
+0.0670315
+0.0687492
+0.0704931
+0.0722613
+0.0740522
+0.0754828
+0.0757832
+0.0761455
+0.0765688
+0.077052
+0.0775942
+0.0781684
+0.0787559
+0.0793995
+0.0800978
+0.08073
+0.0813278
+0.0819798
+0.0826847
+0.0834411
+0.0842409
+0.0850855
+0.0859398
+0.0866924
+0.0874768
+0.0883087
+0.0802336
+0.078086
+0.075941
+0.0737985
+0.0716591
+0.0695228
+0.0673882
+0.065256
+0.0631277
+0.0610039
+0.0588849
+0.0567683
+0.0546564
+0.0525511
+0.050453
+0.0483631
+0.0462826
+0.0442126
+0.0421549
+0.0401005
+0.0380553
+0.0360274
+0.0340196
+0.0320357
+0.0300806
+0.0281602
+0.0262821
+0.0244561
+0.0226918
+0.0209819
+0.0193691
+0.0178797
+0.016547
+0.0154117
+0.0145023
+0.0138357
+0.0134957
+0.013507
+0.0138687
+0.0145548
+0.0154777
+0.0166253
+0.0179677
+0.0194619
+0.0210751
+0.0227849
+0.0245618
+0.0263791
+0.0282494
+0.0301628
+0.0321117
+0.03409
+0.0358222
+0.0371174
+0.0384937
+0.0399282
+0.0411618
+0.0420226
+0.0429778
+0.044015
+0.0451078
+0.046251
+0.0474678
+0.0487526
+0.0501004
+0.0514597
+0.0528672
+0.0543266
+0.0558339
+0.0573852
+0.0589771
+0.0606064
+0.0622702
+0.0639657
+0.0656904
+0.0674423
+0.0692192
+0.0710191
+0.0728405
+0.0742919
+0.0746096
+0.074976
+0.0753813
+0.0758477
+0.0763741
+0.0769593
+0.077602
+0.0783007
+0.0790511
+0.0796964
+0.0803019
+0.0809621
+0.0816758
+0.0824345
+0.0832398
+0.0840278
+0.0847237
+0.08547
+0.0862656
+0.087109
+0.0802666
+0.07812
+0.0759758
+0.0738344
+0.071696
+0.0695608
+0.0674292
+0.0653015
+0.0631782
+0.0610595
+0.0589456
+0.0568344
+0.0547294
+0.0526314
+0.0505413
+0.0484562
+0.0463798
+0.0443144
+0.0422616
+0.0402164
+0.0381857
+0.0361737
+0.0341789
+0.0322049
+0.0302607
+0.0283525
+0.026488
+0.0246772
+0.0229328
+0.0212712
+0.0196947
+0.0182319
+0.016927
+0.015819
+0.0149344
+0.0142879
+0.0139589
+0.0139699
+0.0143199
+0.0149854
+0.0158944
+0.0170139
+0.0183279
+0.0197977
+0.0213912
+0.0230829
+0.0248479
+0.0266539
+0.0285062
+0.0304035
+0.0323379
+0.0340816
+0.0354275
+0.0367366
+0.0376306
+0.0384173
+0.0392252
+0.0401275
+0.0411251
+0.0421668
+0.0432767
+0.044467
+0.0457312
+0.0470618
+0.048399
+0.0497967
+0.0512499
+0.0527541
+0.0543051
+0.0558988
+0.0575319
+0.0592009
+0.0609031
+0.0626356
+0.064396
+0.0661822
+0.067992
+0.0698236
+0.0716753
+0.0730807
+0.0734037
+0.073763
+0.0741749
+0.0746489
+0.0751837
+0.0757781
+0.0764307
+0.0771401
+0.0779045
+0.0787103
+0.0793233
+0.0799916
+0.0807067
+0.0814701
+0.0821705
+0.082824
+0.0835223
+0.0842649
+0.0850576
+0.0858987
+0.0803593
+0.0782152
+0.0760738
+0.0739352
+0.0717998
+0.0696678
+0.0675396
+0.0654155
+0.0632959
+0.0611814
+0.0590724
+0.0569695
+0.0548736
+0.0527853
+0.0507057
+0.0486326
+0.0465691
+0.0445178
+0.0424804
+0.0404471
+0.0384286
+0.03643
+0.0344547
+0.0325071
+0.0305924
+0.0287111
+0.0268715
+0.0250884
+0.0233748
+0.0217469
+0.0202244
+0.0188049
+0.0175439
+0.016479
+0.0156499
+0.0150487
+0.0147367
+0.014747
+0.0150791
+0.0157124
+0.016584
+0.0176661
+0.0189363
+0.0203623
+0.0219148
+0.0235689
+0.025293
+0.0270731
+0.0289097
+0.0307927
+0.0325208
+0.0338833
+0.0343644
+0.0349524
+0.0356637
+0.0364765
+0.0373167
+0.038264
+0.0392499
+0.0403211
+0.0414805
+0.0427208
+0.0440225
+0.0453434
+0.0467298
+0.048176
+0.0496766
+0.0512271
+0.0528228
+0.05446
+0.0561349
+0.0578443
+0.0595852
+0.061355
+0.0631511
+0.0649715
+0.0668141
+0.0686771
+0.0705585
+0.0719159
+0.0722414
+0.0725959
+0.0730144
+0.0734959
+0.074039
+0.0746426
+0.075305
+0.0760248
+0.0768004
+0.0776109
+0.0783936
+0.0790625
+0.0797815
+0.0803679
+0.0809635
+0.0816119
+0.0823135
+0.083067
+0.0838709
+0.0847214
+0.0804267
+0.0783091
+0.0761956
+0.0740845
+0.0719693
+0.0698433
+0.0677207
+0.0656024
+0.0634891
+0.0613812
+0.0592793
+0.0571841
+0.0550963
+0.0530168
+0.0509466
+0.048887
+0.0468392
+0.0448049
+0.0427861
+0.0407833
+0.0387938
+0.036815
+0.0348616
+0.0329381
+0.0310499
+0.0292041
+0.0274091
+0.0256756
+0.0240092
+0.0224274
+0.0209544
+0.0195879
+0.0183808
+0.0173672
+0.0165826
+0.0160606
+0.0157733
+0.015783
+0.0160936
+0.0166885
+0.0175199
+0.0185474
+0.0197652
+0.0211398
+0.0226391
+0.0242438
+0.0259162
+0.0276563
+0.0294566
+0.0311759
+0.0314665
+0.0318344
+0.0323464
+0.0329713
+0.0337245
+0.0345551
+0.0354392
+0.0363589
+0.0373844
+0.0385074
+0.0397196
+0.0409919
+0.0422941
+0.0436674
+0.0451053
+0.0466019
+0.0481516
+0.0497496
+0.0513913
+0.0530726
+0.05479
+0.05654
+0.0583199
+0.0601269
+0.0619586
+0.063813
+0.0656881
+0.06757
+0.0694464
+0.0707733
+0.0711072
+0.0714672
+0.0718923
+0.0723811
+0.0729325
+0.0735451
+0.0742173
+0.0749377
+0.0756876
+0.0764928
+0.0773359
+0.0781068
+0.0786269
+0.0791733
+0.0797761
+0.0804341
+0.0811459
+0.0819101
+0.0827248
+0.0835812
+0.0804886
+0.0783726
+0.0762609
+0.0741517
+0.0720459
+0.0699453
+0.0678504
+0.0657618
+0.06368
+0.0616058
+0.0595399
+0.0574797
+0.0554043
+0.0533373
+0.0512801
+0.0492344
+0.0472017
+0.0451838
+0.0431827
+0.0412009
+0.0392413
+0.0373074
+0.0353996
+0.033507
+0.0316528
+0.0298443
+0.0280902
+0.0264015
+0.0247914
+0.0232763
+0.021876
+0.0205752
+0.0194296
+0.0184736
+0.017738
+0.0172511
+0.0169995
+0.0170085
+0.0172972
+0.017852
+0.0186492
+0.0196347
+0.0207889
+0.0221005
+0.023539
+0.0250862
+0.0267051
+0.0283969
+0.0290217
+0.029124
+0.0293898
+0.0298058
+0.0303523
+0.0310184
+0.031788
+0.0326304
+0.0334957
+0.0344673
+0.0355475
+0.0367267
+0.0379723
+0.0392524
+0.0406103
+0.0420387
+0.0435304
+0.0450793
+0.0466796
+0.0483263
+0.0500147
+0.0517408
+0.0535009
+0.0552918
+0.0571106
+0.0589547
+0.0608217
+0.0626944
+0.0645639
+0.066453
+0.06836
+0.0695479
+0.0698685
+0.0702349
+0.0706673
+0.0711646
+0.0717254
+0.0723481
+0.0730313
+0.0737733
+0.0745722
+0.0754219
+0.0762888
+0.0769695
+0.0774656
+0.0780202
+0.0786318
+0.0792993
+0.0800212
+0.080796
+0.0816157
+0.0824835
+0.0806069
+0.0784934
+0.0763843
+0.0742798
+0.0721803
+0.0700849
+0.0679943
+0.0659103
+0.0638333
+0.0617643
+0.0597039
+0.0576531
+0.055613
+0.0535847
+0.0515698
+0.0495698
+0.0475865
+0.0456223
+0.0436796
+0.0417264
+0.0397939
+0.0378884
+0.0360148
+0.0341697
+0.0323677
+0.0306165
+0.0289154
+0.0272827
+0.0257296
+0.0242732
+0.0229338
+0.0217063
+0.0206236
+0.0197256
+0.0190384
+0.0185856
+0.0183844
+0.0184127
+0.0186797
+0.0191946
+0.0199382
+0.0208861
+0.0219838
+0.0232281
+0.0246008
+0.0260851
+0.0269086
+0.0269384
+0.0269228
+0.0270331
+0.0273191
+0.0277628
+0.0283493
+0.0290545
+0.0298311
+0.0306783
+0.0315846
+0.0326132
+0.0337527
+0.0349664
+0.0362202
+0.03756
+0.038977
+0.040463
+0.0420108
+0.0436137
+0.0452658
+0.0469621
+0.0486979
+0.050469
+0.052272
+0.0541035
+0.055961
+0.0578228
+0.059684
+0.0615669
+0.0634696
+0.0653903
+0.0673275
+0.0683023
+0.0686613
+0.0690501
+0.0694899
+0.0699955
+0.0705656
+0.0711985
+0.0718926
+0.0726462
+0.0734574
+0.0743244
+0.0752451
+0.075839
+0.0763455
+0.0769111
+0.0775326
+0.0782079
+0.0789309
+0.0797077
+0.0805365
+0.0814158
+0.080776
+0.0786671
+0.0765627
+0.0744633
+0.0723694
+0.0702813
+0.0681997
+0.0661251
+0.0640582
+0.0619991
+0.0599475
+0.0579053
+0.0558744
+0.053856
+0.0518517
+0.0498629
+0.0478919
+0.0459407
+0.044012
+0.042109
+0.0402353
+0.0383951
+0.0365936
+0.0348367
+0.0331287
+0.0314452
+0.029801
+0.0282311
+0.0267487
+0.025369
+0.0241005
+0.0229621
+0.0219684
+0.0211277
+0.0204876
+0.0200675
+0.0198813
+0.0199355
+0.0201937
+0.020671
+0.0213633
+0.0222506
+0.0233014
+0.024478
+0.0254498
+0.0251018
+0.0249331
+0.024858
+0.0248362
+0.0249557
+0.0252653
+0.0257398
+0.0263713
+0.0270897
+0.0279089
+0.0287468
+0.0297121
+0.0308033
+0.031975
+0.0332002
+0.0345182
+0.0359216
+0.0374007
+0.0389469
+0.0405526
+0.0422109
+0.0439159
+0.0456623
+0.0474456
+0.0492618
+0.0511074
+0.0529562
+0.0548075
+0.0566831
+0.0585805
+0.0604978
+0.062433
+0.0643847
+0.0663512
+0.0670778
+0.0674433
+0.0678775
+0.0683429
+0.0688569
+0.0694362
+0.0700793
+0.0707843
+0.0715495
+0.0723729
+0.0732527
+0.0741867
+0.074738
+0.075252
+0.0758257
+0.0764514
+0.0771287
+0.0778618
+0.0786491
+0.0794889
+0.0803773
+0.0810041
+0.0789012
+0.0768033
+0.0747106
+0.0726238
+0.0705433
+0.0684696
+0.0664034
+0.0643455
+0.0622967
+0.0602578
+0.0582299
+0.0562143
+0.0542122
+0.0522237
+0.05025
+0.0482947
+0.0463605
+0.0444501
+0.0425666
+0.0407138
+0.0388908
+0.0371061
+0.0353671
+0.0336809
+0.0320557
+0.0305014
+0.0290292
+0.0276525
+0.0263859
+0.0252463
+0.0242443
+0.0233575
+0.0226096
+0.0220521
+0.0216623
+0.0214899
+0.0215401
+0.0218052
+0.0222479
+0.0228925
+0.0237227
+0.0247197
+0.0241308
+0.0235654
+0.023125
+0.022871
+0.022788
+0.0227642
+0.0228945
+0.0232226
+0.0237231
+0.0243456
+0.0250932
+0.0259686
+0.0268552
+0.0278861
+0.0289954
+0.030196
+0.0314874
+0.0328742
+0.0343448
+0.035889
+0.0374976
+0.0391627
+0.0408774
+0.0426357
+0.0444325
+0.0462633
+0.048096
+0.0499353
+0.051802
+0.0536932
+0.0556063
+0.0575393
+0.0594901
+0.0614571
+0.0634388
+0.0654338
+0.0659034
+0.0662753
+0.0667171
+0.0672275
+0.0677684
+0.068357
+0.0690101
+0.0697259
+0.0705026
+0.0713381
+0.0722305
+0.07306
+0.0736858
+0.074207
+0.0747821
+0.0754108
+0.0760973
+0.0768402
+0.0776299
+0.0784476
+0.0793174
+0.0812905
+0.0791953
+0.0771053
+0.0750211
+0.0729432
+0.070872
+0.0688083
+0.0667526
+0.0647058
+0.0626687
+0.0606423
+0.0586265
+0.0566215
+0.0546308
+0.052656
+0.050699
+0.0487618
+0.0468469
+0.0449573
+0.0430961
+0.0412674
+0.0394755
+0.0377257
+0.0360184
+0.0343641
+0.0327729
+0.0312542
+0.0298192
+0.0284807
+0.0272527
+0.0261417
+0.02517
+0.024357
+0.0237191
+0.0232708
+0.0230231
+0.0229824
+0.0231479
+0.0234647
+0.0239117
+0.0245126
+0.0239831
+0.0230363
+0.0222596
+0.0215973
+0.0211137
+0.0208351
+0.0207428
+0.0206818
+0.0208002
+0.0211316
+0.0216725
+0.0223199
+0.023132
+0.024058
+0.0250107
+0.0260432
+0.0272118
+0.0284711
+0.0298372
+0.0312972
+0.0328385
+0.0344503
+0.036123
+0.0378486
+0.0396203
+0.041432
+0.0432444
+0.0450688
+0.0469245
+0.048808
+0.0507162
+0.0526464
+0.0545963
+0.0565638
+0.0585471
+0.0605379
+0.0625232
+0.0644347
+0.0647482
+0.0651267
+0.0655762
+0.0660954
+0.0666825
+0.0673317
+0.0679947
+0.0687211
+0.069509
+0.0703547
+0.0711832
+0.0718951
+0.0725934
+0.0731841
+0.0737829
+0.0744166
+0.0750777
+0.0757963
+0.0765705
+0.0773969
+0.078276
+0.0812623
+0.0795486
+0.0774682
+0.075394
+0.0733266
+0.0712666
+0.0692142
+0.0671681
+0.0651313
+0.0631049
+0.0610898
+0.0590872
+0.0570984
+0.055125
+0.0531685
+0.051231
+0.0493148
+0.0474222
+0.0455565
+0.0437208
+0.0419193
+0.0401565
+0.0384378
+0.0367692
+0.035158
+0.0336124
+0.032139
+0.0307446
+0.0294376
+0.0282403
+0.0271672
+0.0262335
+0.0254545
+0.0248448
+0.0244172
+0.0241812
+0.0241425
+0.024302
+0.0246452
+0.0246182
+0.0233676
+0.0222489
+0.0212411
+0.0203855
+0.0196623
+0.0191418
+0.0188341
+0.0186612
+0.0185632
+0.0186949
+0.019063
+0.0196219
+0.0203271
+0.0212157
+0.0221649
+0.0231293
+0.0242421
+0.0254744
+0.0268142
+0.0282606
+0.0297979
+0.0314129
+0.0330941
+0.034832
+0.0366186
+0.0384048
+0.0402101
+0.042052
+0.0439259
+0.0458279
+0.0477547
+0.0497034
+0.0516714
+0.0536567
+0.0556404
+0.0576279
+0.0596297
+0.0616443
+0.0632147
+0.06354
+0.0639256
+0.0643836
+0.0649123
+0.06551
+0.0661748
+0.0669049
+0.0676573
+0.0684438
+0.0692538
+0.0700953
+0.0707788
+0.071488
+0.0721406
+0.0727204
+0.0733365
+0.0740047
+0.0747312
+0.0755142
+0.0763521
+0.077243
+0.0799663
+0.0789317
+0.0778731
+0.0758085
+0.0737512
+0.0717018
+0.069661
+0.0676296
+0.0656084
+0.0635984
+0.0616008
+0.0596167
+0.0576476
+0.0556951
+0.0537609
+0.0518469
+0.0499545
+0.0480861
+0.0462456
+0.0444368
+0.0426638
+0.0409313
+0.0392447
+0.03761
+0.0360344
+0.034526
+0.0330939
+0.0317427
+0.0304854
+0.0293379
+0.0283105
+0.0274157
+0.0266713
+0.0260901
+0.0256832
+0.0254589
+0.025421
+0.0255367
+0.0245259
+0.0231033
+0.0217678
+0.0205655
+0.0194911
+0.0185234
+0.0177408
+0.017184
+0.0168499
+0.0165739
+0.0164635
+0.0166118
+0.0170249
+0.0175959
+0.0183793
+0.0192966
+0.0202701
+0.0213071
+0.0225051
+0.0238106
+0.0252389
+0.0267705
+0.0283886
+0.0300794
+0.0318311
+0.0335823
+0.0353623
+0.0371863
+0.0390479
+0.0409421
+0.0428646
+0.0448117
+0.0467803
+0.0487679
+0.0507431
+0.0527332
+0.0547386
+0.0567577
+0.0587891
+0.0607001
+0.0619873
+0.0623205
+0.0627284
+0.0632097
+0.0637496
+0.0643579
+0.0650343
+0.0657492
+0.0664862
+0.0672864
+0.0681476
+0.0690556
+0.0697135
+0.0704335
+0.0710422
+0.0716367
+0.0722704
+0.0729484
+0.0736852
+0.0744793
+0.0753287
+0.0760557
+0.0787099
+0.0776578
+0.0766497
+0.0756917
+0.0741974
+0.0721606
+0.0701332
+0.0681158
+0.0661095
+0.0641153
+0.0621342
+0.0601678
+0.0582173
+0.0562845
+0.0543713
+0.0524798
+0.0506124
+0.0487719
+0.0469615
+0.0451848
+0.0434459
+0.0417463
+0.0400864
+0.0384797
+0.0369331
+0.0354545
+0.0340526
+0.0327375
+0.0315199
+0.0304115
+0.0294206
+0.0285607
+0.0278469
+0.0272907
+0.026902
+0.0266879
+0.0264788
+0.0247898
+0.0231772
+0.0216663
+0.0202609
+0.0189465
+0.0177809
+0.0167402
+0.0158691
+0.0152441
+0.0149024
+0.0145172
+0.014391
+0.0145602
+0.0150051
+0.0156144
+0.0164926
+0.017428
+0.0184256
+0.0195607
+0.0208237
+0.0222282
+0.023752
+0.0253736
+0.0270754
+0.0287855
+0.0305308
+0.0323304
+0.0341757
+0.0360597
+0.0379766
+0.0399217
+0.041891
+0.0438717
+0.045846
+0.0478392
+0.049849
+0.0518734
+0.0539108
+0.0558185
+0.0577215
+0.0596442
+0.0608013
+0.0611409
+0.0615567
+0.0620471
+0.0626044
+0.0632239
+0.0639126
+0.0646178
+0.0653675
+0.0661813
+0.0670567
+0.0679915
+0.0687016
+0.0694321
+0.0699777
+0.0705812
+0.0712469
+0.0719414
+0.0726885
+0.0734336
+0.0740865
+0.0747949
+0.0774923
+0.0764255
+0.075401
+0.0744268
+0.0735051
+0.0726377
+0.0706701
+0.0686685
+0.0666789
+0.0647022
+0.0627397
+0.0607928
+0.058863
+0.0569522
+0.0550622
+0.0531952
+0.0513539
+0.049541
+0.0477597
+0.0460103
+0.0442936
+0.0426204
+0.0409959
+0.0394263
+0.0379183
+0.0364797
+0.0351188
+0.0338451
+0.0326688
+0.0315977
+0.0306424
+0.0298177
+0.0291347
+0.0286036
+0.0282329
+0.0272153
+0.0254161
+0.0236497
+0.0219535
+0.0203352
+0.0188014
+0.0173945
+0.016099
+0.0149749
+0.0140897
+0.0133588
+0.0128579
+0.012506
+0.0123593
+0.0125558
+0.0129979
+0.0136969
+0.0146208
+0.0155342
+0.0166132
+0.017812
+0.0191868
+0.0207026
+0.0223307
+0.0240297
+0.0257247
+0.0274898
+0.0293124
+0.0311824
+0.0330917
+0.0350341
+0.0370041
+0.0389732
+0.0409494
+0.0429463
+0.0449613
+0.046992
+0.0490365
+0.0509401
+0.0528372
+0.0547561
+0.0566948
+0.0586512
+0.0596721
+0.0600181
+0.0604416
+0.060941
+0.0615051
+0.0621365
+0.0628334
+0.0635288
+0.0642913
+0.0651064
+0.0659821
+0.0669181
+0.0677454
+0.0683979
+0.0689456
+0.0695581
+0.0702335
+0.0709702
+0.0715878
+0.0721965
+0.0728575
+0.0735778
+0.0763081
+0.0752301
+0.0741959
+0.0732057
+0.0722684
+0.071386
+0.0705606
+0.0692861
+0.0673147
+0.0653573
+0.0634151
+0.0614896
+0.0595824
+0.0576953
+0.0558302
+0.053983
+0.0521625
+0.0503715
+0.0486132
+0.0468914
+0.0452101
+0.0435741
+0.0419887
+0.0404599
+0.0389942
+0.0375991
+0.0362763
+0.0350388
+0.0338978
+0.0328634
+0.0319459
+0.0311557
+0.0305027
+0.0299958
+0.0281995
+0.0263452
+0.0244821
+0.02264
+0.0208355
+0.0190948
+0.0174527
+0.0159407
+0.0145214
+0.0132738
+0.0122384
+0.0114014
+0.0108343
+0.0104903
+0.0103924
+0.010584
+0.0110495
+0.0118647
+0.0126899
+0.0136972
+0.0148358
+0.0161669
+0.0176702
+0.0193055
+0.0209613
+0.022674
+0.024463
+0.0263129
+0.0282116
+0.03015
+0.0321208
+0.0340748
+0.0360532
+0.0380548
+0.0400762
+0.0421146
+0.0441675
+0.046066
+0.0479557
+0.0498701
+0.0518063
+0.0537621
+0.055683
+0.0575672
+0.0585983
+0.0589507
+0.0593767
+0.0598693
+0.0604375
+0.0610682
+0.0617658
+0.0624688
+0.0632293
+0.0640558
+0.0649457
+0.0658964
+0.0668474
+0.0673985
+0.0679543
+0.0685262
+0.0691446
+0.0698264
+0.0703894
+0.0710024
+0.0716744
+0.0724065
+0.0751691
+0.0740745
+0.0730293
+0.0720285
+0.0710756
+0.0701782
+0.0693385
+0.0685584
+0.0678402
+0.0660776
+0.0641516
+0.062243
+0.0603536
+0.0584853
+0.05664
+0.0548202
+0.0530284
+0.0512676
+0.0495412
+0.0478527
+0.0462065
+0.0446071
+0.0430597
+0.0415703
+0.0401451
+0.0387915
+0.0375107
+0.0363153
+0.0352157
+0.0342211
+0.033341
+0.0325847
+0.0312881
+0.0293116
+0.0273664
+0.0254581
+0.0235982
+0.0216616
+0.0197781
+0.0179485
+0.0161902
+0.0145498
+0.0130716
+0.0116826
+0.0105077
+0.00953744
+0.00886081
+0.00847903
+0.00848123
+0.00855392
+0.00912844
+0.00998386
+0.0108489
+0.0119108
+0.0131834
+0.0146653
+0.0162784
+0.0179031
+0.0196381
+0.0214567
+0.0233392
+0.0252715
+0.0272271
+0.0291764
+0.0311577
+0.0331654
+0.035195
+0.0372428
+0.0393014
+0.0411977
+0.0430782
+0.0449867
+0.0469199
+0.0488748
+0.0508022
+0.0526793
+0.0545556
+0.0563131
+0.0575225
+0.0578652
+0.0582884
+0.0587902
+0.0593686
+0.0600112
+0.060721
+0.0614379
+0.0622111
+0.063051
+0.0639549
+0.0649202
+0.0658666
+0.0662929
+0.0667885
+0.0673517
+0.0679808
+0.0686715
+0.0692364
+0.0698567
+0.0705362
+0.0712655
+0.0740774
+0.0729664
+0.0719051
+0.0708955
+0.069931
+0.0690187
+0.0681647
+0.0673711
+0.0666401
+0.0659737
+0.064852
+0.0629682
+0.0611049
+0.059264
+0.0574477
+0.0556583
+0.0538985
+0.0521714
+0.0504803
+0.0488289
+0.0472113
+0.0456405
+0.0441227
+0.0426633
+0.0412687
+0.0399456
+0.0387013
+0.0375437
+0.0364811
+0.0355045
+0.0346309
+0.0327032
+0.0306774
+0.0286759
+0.0266875
+0.0247269
+0.0227356
+0.0207793
+0.0188627
+0.0169671
+0.0151331
+0.0133689
+0.0116683
+0.0101294
+0.00883027
+0.00777806
+0.00701746
+0.00652954
+0.00638269
+0.0065247
+0.00719265
+0.00810366
+0.00900387
+0.0102495
+0.0117076
+0.0132179
+0.0148615
+0.0166253
+0.0184806
+0.0204026
+0.022331
+0.024278
+0.0262634
+0.0282792
+0.0303192
+0.0323767
+0.0344427
+0.0363376
+0.038206
+0.0401071
+0.0420363
+0.0439901
+0.0459252
+0.047793
+0.0496871
+0.0515542
+0.0533207
+0.0551176
+0.0564835
+0.0568325
+0.0572633
+0.057774
+0.0583625
+0.0590167
+0.0597383
+0.0604668
+0.0612523
+0.0621052
+0.0630159
+0.0639373
+0.0647105
+0.0651444
+0.0656486
+0.0662215
+0.0668613
+0.0675636
+0.0681275
+0.0687429
+0.069422
+0.070163
+0.0730351
+0.0719081
+0.0708308
+0.0698058
+0.0688352
+0.0679101
+0.067042
+0.0662349
+0.0654912
+0.064813
+0.0642025
+0.0635902
+0.0617457
+0.0599245
+0.0581268
+0.0563496
+0.0546026
+0.0528886
+0.0512109
+0.0495733
+0.0479798
+0.0464351
+0.044944
+0.0435122
+0.0421457
+0.040851
+0.0396352
+0.0385057
+0.0374526
+0.0364161
+0.0343298
+0.0322575
+0.0302018
+0.0281665
+0.0261563
+0.0240869
+0.0220337
+0.0200097
+0.0180247
+0.0160795
+0.0141695
+0.0123154
+0.0104851
+0.00876705
+0.00727728
+0.00605824
+0.00517873
+0.00459944
+0.00437128
+0.00458472
+0.00531744
+0.00628249
+0.00733853
+0.00873562
+0.0101711
+0.0118402
+0.0136506
+0.0155524
+0.0174362
+0.0193797
+0.0213711
+0.0233981
+0.0254523
+0.0275161
+0.0295597
+0.0314893
+0.0333416
+0.0352327
+0.0371567
+0.0391088
+0.0410533
+0.0429094
+0.0447958
+0.0467073
+0.0485649
+0.050341
+0.0521486
+0.0539846
+0.0555083
+0.0558666
+0.0563048
+0.0568241
+0.0574224
+0.0580878
+0.0587972
+0.0595378
+0.0603489
+0.0611858
+0.0620571
+0.0629926
+0.0636089
+0.0640503
+0.064563
+0.0651454
+0.0657957
+0.066486
+0.0670449
+0.0676701
+0.0683599
+0.0691077
+0.0720323
+0.0708897
+0.0697972
+0.0687572
+0.0677708
+0.0668338
+0.0659562
+0.0651392
+0.0643828
+0.0636929
+0.0630715
+0.0625208
+0.0620425
+0.0606178
+0.0588343
+0.0570792
+0.0553552
+0.0536652
+0.0520126
+0.0504011
+0.0488346
+0.0473178
+0.0458554
+0.044453
+0.0431163
+0.0418516
+0.0406385
+0.0394719
+0.0382618
+0.0361493
+0.0340468
+0.031956
+0.0298796
+0.0277767
+0.0256586
+0.0235538
+0.0214662
+0.0194013
+0.0173672
+0.0153668
+0.0133613
+0.0114011
+0.00951778
+0.00767187
+0.0059833
+0.00452639
+0.00342867
+0.00269586
+0.00241126
+0.00260731
+0.0034397
+0.00450621
+0.00578289
+0.00716837
+0.00886147
+0.0107054
+0.0125444
+0.0144816
+0.0164824
+0.0185263
+0.0205902
+0.022672
+0.0246775
+0.026632
+0.0284888
+0.0303661
+0.0322828
+0.0342325
+0.0361886
+0.0380297
+0.0399062
+0.0418127
+0.0437098
+0.0455537
+0.0473765
+0.0491955
+0.0510436
+0.052918
+0.0545906
+0.0549686
+0.0554164
+0.055944
+0.0565515
+0.0572056
+0.0578838
+0.058636
+0.0594594
+0.0602775
+0.0611617
+0.0621106
+0.0625646
+0.0630133
+0.0635344
+0.0641262
+0.0647842
+0.065449
+0.0660167
+0.0666507
+0.0673371
+0.0680871
+0.0710821
+0.069924
+0.0688161
+0.067761
+0.0667599
+0.0658085
+0.0649171
+0.0640868
+0.0633179
+0.0626162
+0.061984
+0.0614235
+0.0609367
+0.0605252
+0.059614
+0.0578826
+0.0561832
+0.0545189
+0.052893
+0.0513091
+0.0497712
+0.0482825
+0.0468066
+0.0453776
+0.0440058
+0.0427024
+0.0414737
+0.0402387
+0.0381121
+0.0359932
+0.0338834
+0.0317425
+0.0295922
+0.0274484
+0.0253125
+0.0231797
+0.0210465
+0.0189266
+0.0168155
+0.0147255
+0.0126697
+0.0106676
+0.0087425
+0.0067802
+0.00490652
+0.00320707
+0.00181547
+0.0008862
+0.00047924
+0.00069098
+0.00162707
+0.00279233
+0.00426522
+0.00589611
+0.00766109
+0.00958389
+0.0116021
+0.013666
+0.0157488
+0.0178574
+0.0197961
+0.0217547
+0.0236549
+0.0255116
+0.0274177
+0.0293635
+0.0313343
+0.0331556
+0.0350192
+0.0369188
+0.0388231
+0.0406895
+0.0425434
+0.044428
+0.0462613
+0.0481225
+0.0500103
+0.0519219
+0.0537465
+0.0541304
+0.0545996
+0.0551368
+0.0557236
+0.0563364
+0.0570268
+0.0577921
+0.0586
+0.0594285
+0.0603251
+0.0611922
+0.061576
+0.0620319
+0.0625612
+0.0631621
+0.0638279
+0.0644594
+0.0650347
+0.0656649
+0.0663616
+0.0671225
+0.0700991
+0.0689919
+0.0678916
+0.0668219
+0.0658065
+0.0648411
+0.0639362
+0.063093
+0.0623118
+0.0615986
+0.0609559
+0.0603859
+0.0598906
+0.0594719
+0.0591315
+0.0587566
+0.0570808
+0.0554069
+0.0537701
+0.052174
+0.05062
+0.0491017
+0.0476357
+0.0462271
+0.0448812
+0.043604
+0.0423481
+0.0402137
+0.0380484
+0.0358748
+0.0337034
+0.0315346
+0.0293691
+0.0272077
+0.0250513
+0.0228941
+0.0207316
+0.0185758
+0.0164291
+0.0142958
+0.012183
+0.0101032
+0.0080824
+0.00600365
+0.00398103
+0.0020842
+0.000394273
+-0.000818449
+-0.00140085
+-0.00118514
+-0.000163375
+0.00122731
+0.00282222
+0.00468788
+0.00674808
+0.00883254
+0.0109582
+0.0129969
+0.014912
+0.0168896
+0.0188544
+0.020678
+0.022567
+0.0245063
+0.0264848
+0.0282899
+0.0301359
+0.0320254
+0.0339388
+0.0358309
+0.0376727
+0.0395467
+0.0414484
+0.04335
+0.0452248
+0.0471269
+0.0490531
+0.0510006
+0.0526837
+0.0533498
+0.0538257
+0.0543395
+0.0548803
+0.0555024
+0.0562031
+0.0569795
+0.0577944
+0.0586342
+0.0595429
+0.0602615
+0.0606482
+0.061111
+0.0616482
+0.0622579
+0.0629333
+0.0635288
+0.064099
+0.0647384
+0.0654449
+0.0662163
+0.0691082
+0.0679984
+0.0669351
+0.0659204
+0.064913
+0.0639341
+0.0630162
+0.0621605
+0.0613674
+0.0606432
+0.0599902
+0.0594109
+0.0589074
+0.0584817
+0.0581355
+0.0578591
+0.0576596
+0.0562232
+0.0546001
+0.0530149
+0.0514741
+0.0499818
+0.0485425
+0.0471611
+0.0458428
+0.0444703
+0.0423041
+0.0401405
+0.03798
+0.0358232
+0.0336506
+0.0314782
+0.0293085
+0.0271422
+0.0249802
+0.0228138
+0.020643
+0.0184769
+0.0163173
+0.0141673
+0.012032
+0.00992092
+0.00781519
+0.00566976
+0.0035555
+0.0015091
+-0.000511068
+-0.0023808
+-0.00330341
+-0.00294532
+-0.00175203
+-0.000127365
+0.00197908
+0.0041544
+0.0063014
+0.00812059
+0.0100421
+0.0120247
+0.0140548
+0.0158842
+0.0177427
+0.0196697
+0.0216467
+0.0234379
+0.0252585
+0.0271339
+0.0290497
+0.0309407
+0.0328103
+0.0346703
+0.0365654
+0.0384839
+0.04043
+0.0423556
+0.0442725
+0.0462138
+0.0481766
+0.0501494
+0.0515833
+0.0526071
+0.0530372
+0.0535149
+0.054064
+0.0546954
+0.0554063
+0.0561836
+0.0569654
+0.0578173
+0.0587386
+0.059394
+0.0597863
+0.0602557
+0.0608005
+0.0614186
+0.0621031
+0.0626472
+0.0632254
+0.0638735
+0.0645895
+0.065371
+0.068165
+0.0670396
+0.0659678
+0.0649522
+0.0639829
+0.0630582
+0.0621598
+0.0612921
+0.0604877
+0.0597528
+0.05909
+0.0585018
+0.0579904
+0.0575579
+0.0572061
+0.0569251
+0.0567224
+0.0564995
+0.0554644
+0.0539046
+0.0523899
+0.0509245
+0.0495127
+0.0481591
+0.046624
+0.0444548
+0.0422877
+0.0401233
+0.0379618
+0.0358039
+0.0336503
+0.0315017
+0.0293594
+0.0272247
+0.0250719
+0.0229056
+0.0207444
+0.0185901
+0.0164455
+0.0142924
+0.0121065
+0.0099228
+0.00774305
+0.00557187
+0.00342563
+0.00131714
+-0.000802951
+-0.00290162
+-0.00498696
+-0.0043424
+-0.00235288
+-0.000532453
+0.00141317
+0.00330996
+0.00522601
+0.00720172
+0.00923583
+0.0111816
+0.0129741
+0.0148735
+0.0168388
+0.0186103
+0.0203913
+0.0222456
+0.0241534
+0.0260536
+0.0279606
+0.0298012
+0.0316862
+0.0335985
+0.0355421
+0.037513
+0.039507
+0.0414532
+0.04341
+0.0453851
+0.0473692
+0.0490684
+0.050525
+0.0518832
+0.0522973
+0.0527682
+0.053325
+0.0539651
+0.0546751
+0.0554197
+0.0562097
+0.0570728
+0.0580059
+0.0585956
+0.0589932
+0.0594689
+0.0600208
+0.0606468
+0.0613178
+0.0618308
+0.0624165
+0.0630729
+0.0637979
+0.0645856
+0.0672799
+0.0661394
+0.0650528
+0.0640227
+0.0630435
+0.0621154
+0.0612409
+0.0604332
+0.0596754
+0.0589304
+0.0582582
+0.0576615
+0.0571426
+0.0567037
+0.0563465
+0.0560613
+0.0558555
+0.0557304
+0.0553602
+0.0548673
+0.05338
+0.0519425
+0.0505591
+0.0488793
+0.046712
+0.0445471
+0.0423848
+0.0402255
+0.0380699
+0.0359141
+0.033748
+0.0315852
+0.0294266
+0.0272718
+0.0250911
+0.0229123
+0.020736
+0.018563
+0.0163948
+0.0142335
+0.0120828
+0.00994948
+0.0078462
+0.005767
+0.00374052
+0.00166727
+-0.000393347
+-0.00244865
+-0.00446462
+-0.00470122
+-0.00268801
+-0.000773063
+0.000847664
+0.00261932
+0.00462604
+0.00649751
+0.0081635
+0.0100123
+0.0119769
+0.0138326
+0.0155437
+0.0173629
+0.0192582
+0.0211707
+0.0230694
+0.0249435
+0.0268122
+0.0287176
+0.0306576
+0.0326293
+0.0346274
+0.0366475
+0.0386765
+0.0406475
+0.042632
+0.0445459
+0.0464577
+0.0480546
+0.049541
+0.0510781
+0.0516261
+0.052103
+0.0526669
+0.0533042
+0.0539819
+0.0547214
+0.0555213
+0.056395
+0.0573391
+0.0578692
+0.0582717
+0.0587532
+0.0593118
+0.0599452
+0.0605626
+0.061082
+0.0616749
+0.0623391
+0.063069
+0.0638546
+0.0664552
+0.0653004
+0.0641995
+0.0631555
+0.0621625
+0.0612251
+0.0603377
+0.0595177
+0.0587679
+0.0580912
+0.0574879
+0.0568933
+0.0563673
+0.0559223
+0.0555601
+0.0552662
+0.0550405
+0.0549014
+0.0547973
+0.0543738
+0.054036
+0.0530315
+0.0512227
+0.0490612
+0.0468902
+0.0447191
+0.04255
+0.0403833
+0.0382193
+0.0360585
+0.0338929
+0.0317135
+0.0295358
+0.0273601
+0.025187
+0.0230173
+0.0208519
+0.0186925
+0.0165412
+0.0144019
+0.0122739
+0.0101355
+0.0080093
+0.0059247
+0.00391662
+0.00202331
+0.000205381
+-0.00170331
+-0.00342055
+-0.00425133
+-0.00304189
+-0.00110959
+0.00030916
+0.00197662
+0.00352174
+0.00519967
+0.00714432
+0.00912407
+0.0107425
+0.0124927
+0.0143643
+0.0162904
+0.0181783
+0.0201057
+0.021949
+0.023844
+0.0257784
+0.027751
+0.029754
+0.0317819
+0.03383
+0.0358274
+0.0378156
+0.0397754
+0.0417279
+0.0436533
+0.0453159
+0.0469867
+0.0486358
+0.0502006
+0.0510401
+0.0515225
+0.0520818
+0.0526841
+0.0533692
+0.0541004
+0.0549093
+0.0557926
+0.0567467
+0.0572113
+0.0576245
+0.0581113
+0.058676
+0.0593163
+0.0598782
+0.0604035
+0.0610029
+0.0616707
+0.0623971
+0.0631911
+0.0656933
+0.0645248
+0.0634105
+0.0623532
+0.0613472
+0.0603973
+0.0594975
+0.0586657
+0.057905
+0.057218
+0.0566075
+0.0560739
+0.0556071
+0.0552168
+0.0548336
+0.0545182
+0.0542894
+0.0541483
+0.0540957
+0.0538897
+0.0535488
+0.0532822
+0.051432
+0.0492662
+0.0471028
+0.044942
+0.0427842
+0.0406164
+0.0384436
+0.036273
+0.034105
+0.03194
+0.0297789
+0.0276223
+0.0254716
+0.0233284
+0.021186
+0.0190414
+0.0169086
+0.0147928
+0.0126918
+0.0106078
+0.00857707
+0.00656073
+0.00441339
+0.00234436
+0.00044477
+-0.000906903
+-0.00223406
+-0.00325442
+-0.00335344
+-0.00206688
+-0.000389817
+0.000920889
+0.0024393
+0.00432546
+0.00607667
+0.00765871
+0.00947232
+0.0114056
+0.0132926
+0.0152265
+0.017106
+0.0189832
+0.0209083
+0.0228812
+0.0248905
+0.0269282
+0.0289821
+0.0309475
+0.0329404
+0.0349159
+0.036895
+0.0388967
+0.040876
+0.0425444
+0.0442099
+0.0459189
+0.0476673
+0.0494048
+0.0505423
+0.0510149
+0.0515401
+0.0521487
+0.0528231
+0.0535618
+0.0543787
+0.0552705
+0.0560852
+0.0566203
+0.0570541
+0.0575458
+0.058116
+0.0587623
+0.0592669
+0.0597975
+0.0603992
+0.0610622
+0.0617957
+0.0625973
+0.0649766
+0.0638095
+0.0626842
+0.0616144
+0.0606001
+0.0596385
+0.058727
+0.0578842
+0.057113
+0.0564164
+0.0557972
+0.0552579
+0.0547988
+0.0544093
+0.0541056
+0.0538489
+0.0536173
+0.0534745
+0.0534212
+0.0534577
+0.0531364
+0.0528789
+0.0517188
+0.0495656
+0.0473986
+0.0452334
+0.0430707
+0.040911
+0.0387547
+0.0366026
+0.0344553
+0.0323138
+0.0301697
+0.0280276
+0.0258937
+0.02377
+0.0216598
+0.0195672
+0.017484
+0.0154253
+0.0134083
+0.0113195
+0.0092396
+0.00720976
+0.00525821
+0.0035056
+0.00169628
+0.000655095
+-0.000972617
+-0.00204646
+-0.00302874
+-0.00304037
+-0.0015558
+-0.000108844
+0.00142367
+0.00298719
+0.00459431
+0.0065083
+0.0084199
+0.0103385
+0.012307
+0.0141476
+0.0160554
+0.018027
+0.0200441
+0.0220943
+0.0241055
+0.0260705
+0.0280689
+0.0300691
+0.032048
+0.0340528
+0.0360792
+0.0380766
+0.0398202
+0.0414787
+0.0431846
+0.0449326
+0.0467179
+0.0485365
+0.0501022
+0.0505568
+0.0510867
+0.0517001
+0.052363
+0.0531081
+0.0539319
+0.0547007
+0.0553726
+0.0561087
+0.0565629
+0.0570588
+0.0576338
+0.058273
+0.0587309
+0.0592625
+0.0598579
+0.0605268
+0.0612667
+0.0620752
+0.0643176
+0.0631383
+0.0620117
+0.060936
+0.0599151
+0.0589513
+0.0580291
+0.057176
+0.0563951
+0.0556895
+0.0550621
+0.0545155
+0.0540523
+0.053671
+0.0533632
+0.0531439
+0.0530143
+0.0528702
+0.0528163
+0.0528532
+0.0528005
+0.0525487
+0.0520595
+0.0499041
+0.0477519
+0.0456034
+0.0434592
+0.0413198
+0.0391759
+0.0370363
+0.0349032
+0.0327776
+0.0306612
+0.028556
+0.0264647
+0.0243894
+0.0223225
+0.0202816
+0.0182419
+0.016162
+0.0141157
+0.0120972
+0.0101398
+0.0082997
+0.00648203
+0.00475065
+0.00328261
+0.00145848
+0.000228613
+-0.0013428
+-0.00256289
+-0.00402478
+-0.00274541
+-0.00135169
+-3.66146e-05
+0.00161819
+0.00358776
+0.00546922
+0.00750143
+0.00937181
+0.0112423
+0.0132056
+0.0152311
+0.0172349
+0.0192376
+0.0212031
+0.0232071
+0.0252421
+0.0272195
+0.0292271
+0.0312593
+0.0333116
+0.0352463
+0.0371223
+0.0388026
+0.0405027
+0.0422481
+0.0440333
+0.0458537
+0.0477052
+0.0495843
+0.0501902
+0.0507216
+0.0513236
+0.0519913
+0.0527416
+0.053443
+0.0540583
+0.0547385
+0.0554966
+0.0561466
+0.0566524
+0.0572315
+0.0578109
+0.0582686
+0.0587924
+0.0593925
+0.0600666
+0.0608121
+0.0616265
+0.0637221
+0.0625316
+0.0613962
+0.0603168
+0.0592957
+0.0583183
+0.0574021
+0.0565438
+0.0557541
+0.0550403
+0.0544054
+0.0538522
+0.0533832
+0.0529971
+0.0526853
+0.0524632
+0.0523319
+0.0522921
+0.0522912
+0.0523285
+0.0524574
+0.0523009
+0.0521388
+0.0503339
+0.0481918
+0.0460544
+0.0439221
+0.0417959
+0.0396768
+0.0375658
+0.0354645
+0.0333747
+0.0312987
+0.0292341
+0.0271825
+0.0251543
+0.0230876
+0.0210305
+0.0190002
+0.0169911
+0.0150324
+0.0131471
+0.0113643
+0.00951329
+0.00783942
+0.00615292
+0.00432415
+0.00247307
+0.00103684
+-0.000913336
+-0.00226476
+-0.0039004
+-0.00418489
+-0.00296118
+-0.0010585
+0.000885638
+0.00276346
+0.00469471
+0.00655678
+0.00847313
+0.0104003
+0.0123456
+0.0143618
+0.0163544
+0.0183649
+0.0204125
+0.0224213
+0.0244304
+0.0264683
+0.0285288
+0.0305206
+0.032464
+0.0344161
+0.0361939
+0.0378844
+0.039624
+0.0414064
+0.0432264
+0.0450794
+0.0469614
+0.0488692
+0.049881
+0.0504146
+0.0510367
+0.0517098
+0.0523334
+0.0528609
+0.0534663
+0.0541536
+0.0549197
+0.0557614
+0.0563283
+0.0569107
+0.0574247
+0.0578733
+0.0584008
+0.0590048
+0.0596833
+0.0604335
+0.061253
+0.063193
+0.0619923
+0.0608469
+0.0597598
+0.0587344
+0.0577496
+0.0568242
+0.0559693
+0.0551882
+0.0544715
+0.0538298
+0.0532707
+0.0527965
+0.0524061
+0.0520907
+0.0518661
+0.0517333
+0.0516931
+0.0517457
+0.0518908
+0.052021
+0.0521114
+0.0519814
+0.0508193
+0.0486986
+0.0465843
+0.0444775
+0.0423792
+0.0402907
+0.0382137
+0.0361501
+0.0340941
+0.0320542
+0.030014
+0.0279516
+0.0259103
+0.0238864
+0.021887
+0.0199279
+0.0180222
+0.0161887
+0.0143676
+0.0125772
+0.0109335
+0.00907389
+0.00713637
+0.00528796
+0.0033246
+0.00146897
+-0.000128018
+-0.00189487
+-0.00360192
+-0.00531628
+-0.00382506
+-0.00201561
+-0.000175451
+0.00171014
+0.00357231
+0.00554311
+0.00746848
+0.00950938
+0.0115479
+0.0135631
+0.0156212
+0.0176338
+0.0196824
+0.0217252
+0.0237931
+0.0257609
+0.0277484
+0.029728
+0.0316964
+0.0336683
+0.0353438
+0.0370732
+0.0388491
+0.0406655
+0.0425172
+0.0443998
+0.0463094
+0.048243
+0.0496656
+0.0502014
+0.050764
+0.0513216
+0.0517598
+0.0522862
+0.0528981
+0.0535927
+0.0543667
+0.0552169
+0.056088
+0.056666
+0.0571078
+0.0575589
+0.0580891
+0.0586964
+0.0593784
+0.0601324
+0.060956
+0.0627283
+0.0615263
+0.060372
+0.0592763
+0.0582423
+0.0572591
+0.0563257
+0.0554631
+0.0546748
+0.0539639
+0.0533307
+0.0527738
+0.0522951
+0.0519009
+0.0515825
+0.0513556
+0.0512215
+0.0511809
+0.051234
+0.0513805
+0.0516197
+0.051897
+0.0518834
+0.0513935
+0.0492975
+0.0472101
+0.0451325
+0.0430661
+0.0410112
+0.0389639
+0.036933
+0.0348753
+0.032826
+0.0307953
+0.0287766
+0.0267839
+0.0248246
+0.0229072
+0.0210433
+0.0192443
+0.0174042
+0.0156545
+0.0139738
+0.0119845
+0.010075
+0.00814713
+0.00622464
+0.00441264
+0.00268551
+0.000966069
+-0.000792122
+-0.0027789
+-0.00483004
+-0.00506549
+-0.00318758
+-0.00130154
+0.000680368
+0.00266392
+0.00470638
+0.00678819
+0.00883271
+0.0108659
+0.0128732
+0.0149321
+0.017024
+0.0191175
+0.021065
+0.023041
+0.0250527
+0.0270692
+0.0290526
+0.0310639
+0.0328909
+0.0346041
+0.0363687
+0.0381774
+0.0400243
+0.0419043
+0.0438132
+0.0457474
+0.0477037
+0.0495355
+0.0499832
+0.0504727
+0.0508239
+0.0512663
+0.0517977
+0.0524154
+0.0531163
+0.0538971
+0.0547546
+0.0556851
+0.0564945
+0.0568683
+0.0573213
+0.0578538
+0.0584635
+0.0591481
+0.0599051
+0.0607317
+0.0623243
+0.0611144
+0.0599601
+0.0588648
+0.0578291
+0.0568489
+0.0559086
+0.0550395
+0.054245
+0.0535284
+0.05289
+0.0523316
+0.0518597
+0.0514769
+0.051163
+0.0509343
+0.0507991
+0.0507581
+0.0508117
+0.0509594
+0.0512006
+0.0515197
+0.051862
+0.0518399
+0.0499854
+0.0479279
+0.0458789
+0.04384
+0.0418003
+0.0397458
+0.0377066
+0.0356809
+0.0336693
+0.0316813
+0.0297219
+0.0277971
+0.0259144
+0.024084
+0.0222624
+0.0204592
+0.0187387
+0.0168617
+0.0149345
+0.0130265
+0.0111016
+0.00922152
+0.00744788
+0.00560007
+0.00372232
+0.00163211
+-0.000350957
+-0.0023592
+-0.00433588
+-0.00520525
+-0.0035398
+-0.00179154
+9.00263e-05
+0.0021119
+0.00419727
+0.0062204
+0.00827513
+0.0102835
+0.012348
+0.0144497
+0.0164875
+0.0184335
+0.0204291
+0.022461
+0.0245139
+0.0265074
+0.0285299
+0.0305248
+0.0322291
+0.0339757
+0.0357713
+0.0376087
+0.0394822
+0.0413869
+0.0433186
+0.0452739
+0.0472499
+0.049244
+0.0498024
+0.0500625
+0.0504165
+0.0508626
+0.0513981
+0.0520205
+0.0527267
+0.0535132
+0.0543767
+0.0553135
+0.0563174
+0.0567014
+0.0571557
+0.0576897
+0.0583011
+0.0589876
+0.0597466
+0.0605754
+0.0619951
+0.0607786
+0.0596179
+0.0585162
+0.0574768
+0.0565034
+0.0555673
+0.0546928
+0.0538932
+0.0531719
+0.0525321
+0.0519748
+0.0514997
+0.0511141
+0.0508202
+0.0506044
+0.0504683
+0.0504271
+0.050481
+0.0506297
+0.0508724
+0.0511936
+0.051602
+0.051911
+0.0507526
+0.0487206
+0.0466679
+0.0446224
+0.0425912
+0.040569
+0.0385634
+0.036579
+0.0346196
+0.0326895
+0.0307943
+0.0289408
+0.0271352
+0.0252999
+0.0235255
+0.0217485
+0.0198132
+0.0179163
+0.0159798
+0.0140923
+0.0122462
+0.0104483
+0.00852551
+0.00653693
+0.00450732
+0.00249637
+0.000526916
+-0.00134635
+-0.00323391
+-0.00425994
+-0.00299896
+-0.00147068
+0.000158303
+0.00198164
+0.0039928
+0.0059277
+0.00791025
+0.00997362
+0.0120476
+0.0140126
+0.015961
+0.0179523
+0.0199853
+0.0220372
+0.0240305
+0.0260555
+0.028059
+0.0299047
+0.0317027
+0.0334792
+0.0353
+0.0371607
+0.0390557
+0.0409802
+0.0429302
+0.0449025
+0.0468941
+0.0489027
+0.0494838
+0.0497455
+0.0501018
+0.0505506
+0.0510894
+0.0517155
+0.0524258
+0.0532168
+0.054085
+0.0550241
+0.0560193
+0.0566187
+0.0570737
+0.0576084
+0.0582207
+0.0589082
+0.0596682
+0.060498
+0.0617309
+0.0605126
+0.0593501
+0.0582468
+0.0572037
+0.0562255
+0.0553071
+0.0544284
+0.0536248
+0.0528998
+0.0522567
+0.0516985
+0.0512279
+0.0508433
+0.0505478
+0.0503459
+0.050231
+0.0501896
+0.0502437
+0.0503931
+0.050637
+0.0509597
+0.0513699
+0.0518597
+0.0515413
+0.0495033
+0.0474768
+0.0454593
+0.0434585
+0.0414769
+0.0395174
+0.0375835
+0.0356792
+0.0338097
+0.0319809
+0.0301593
+0.0283505
+0.0265992
+0.024699
+0.0228001
+0.0208675
+0.0189774
+0.0170974
+0.0153004
+0.0134394
+0.011406
+0.00938071
+0.00737983
+0.00542472
+0.00351383
+0.00161479
+-0.000185005
+-0.0019579
+-0.00307132
+-0.00200853
+-0.000750469
+0.000804384
+0.00232342
+0.00413847
+0.00597786
+0.00786546
+0.00984944
+0.0118086
+0.0137032
+0.0156751
+0.0176986
+0.0197147
+0.0217039
+0.0237252
+0.0256822
+0.0276066
+0.0294079
+0.0312589
+0.0331203
+0.0349598
+0.0368378
+0.0387486
+0.0406876
+0.042651
+0.0446355
+0.0466385
+0.0486577
+0.0492506
+0.0495136
+0.0498715
+0.0503224
+0.0508637
+0.0514925
+0.0522058
+0.0530001
+0.0538718
+0.0548066
+0.0558056
+0.0566208
+0.0570757
+0.0576105
+0.0582227
+0.0589102
+0.0596702
+0.0605
+0.0615282
+0.0603144
+0.0591511
+0.0580441
+0.0569998
+0.0560218
+0.0550945
+0.0542295
+0.0534402
+0.0527175
+0.0520721
+0.0515119
+0.0510396
+0.0506577
+0.0503683
+0.0501667
+0.0500592
+0.0500421
+0.0500964
+0.0502463
+0.0504908
+0.0508191
+0.0512305
+0.0517217
+0.052292
+0.0503511
+0.0483543
+0.046375
+0.0444154
+0.0424785
+0.0405675
+0.038686
+0.0368388
+0.0350296
+0.033197
+0.0314104
+0.029589
+0.0276795
+0.0257594
+0.023856
+0.0219696
+0.0201307
+0.0183075
+0.0162859
+0.0142696
+0.0122717
+0.0103131
+0.00839395
+0.00646459
+0.00459271
+0.00282048
+0.00106104
+-0.000503611
+-0.00159786
+-0.000945855
+0.000177045
+0.00150752
+0.00303191
+0.00461828
+0.00630725
+0.00804767
+0.00989257
+0.0117821
+0.0137012
+0.015647
+0.0175977
+0.019578
+0.0215416
+0.0234689
+0.0254388
+0.0272444
+0.0290681
+0.0309394
+0.0328503
+0.0347547
+0.0366431
+0.0385636
+0.0405115
+0.042483
+0.0444751
+0.046485
+0.0485106
+0.0491052
+0.049369
+0.049728
+0.0501801
+0.0507229
+0.0513535
+0.0520686
+0.052865
+0.0537389
+0.054676
+0.0556773
+0.0567075
+0.0571618
+0.0576957
+0.0583071
+0.0589936
+0.0597525
+0.0605812
+0.0613843
+0.0601784
+0.0590181
+0.0579128
+0.0568704
+0.0558944
+0.0549674
+0.0541003
+0.0533093
+0.0525976
+0.0519623
+0.0514058
+0.0509376
+0.05056
+0.0502721
+0.0500764
+0.0499751
+0.0499634
+0.0500309
+0.050181
+0.0504258
+0.0507642
+0.0511846
+0.0516762
+0.052247
+0.0512731
+0.0493136
+0.0473743
+0.0454579
+0.0435674
+0.0417062
+0.0398786
+0.0380568
+0.036245
+0.0344771
+0.0325646
+0.0306533
+0.0287401
+0.0268514
+0.0249877
+0.0231812
+0.0211697
+0.0191634
+0.0171673
+0.0152081
+0.0132549
+0.011332
+0.00943877
+0.00756296
+0.00575515
+0.00407069
+0.00240941
+0.001046
+2.77073e-06
+0.000148037
+0.00117135
+0.00238241
+0.00374647
+0.00523192
+0.00683256
+0.00847587
+0.010159
+0.0119737
+0.013849
+0.0157443
+0.0176541
+0.0195628
+0.0214075
+0.0232945
+0.0252307
+0.0270552
+0.0288909
+0.030773
+0.0326935
+0.0346462
+0.0365789
+0.0385026
+0.0404534
+0.0424276
+0.0444222
+0.0464344
+0.0484621
+0.0490573
+0.0493213
+0.0496807
+0.0501332
+0.0506765
+0.0513077
+0.0520235
+0.0528205
+0.0536951
+0.0546329
+0.0556351
+0.0567041
+0.0573315
+0.0578639
+0.0584735
+0.059158
+0.0599149
+0.0607413
+0.0613183
+0.0601111
+0.0589606
+0.0578589
+0.0568155
+0.0558386
+0.0549275
+0.0540598
+0.0532681
+0.0525559
+0.0519264
+0.051381
+0.0509127
+0.050535
+0.0502469
+0.0500511
+0.0499507
+0.0499462
+0.0500367
+0.0502112
+0.050456
+0.0507941
+0.0512178
+0.0517189
+0.0522938
+0.0522706
+0.0503499
+0.0484522
+0.0465802
+0.0447371
+0.0429255
+0.0410947
+0.0393008
+0.0374533
+0.0355485
+0.0336284
+0.0317383
+0.0298582
+0.0280232
+0.0260568
+0.0240592
+0.0220642
+0.0201048
+0.0181255
+0.0161976
+0.0143331
+0.0124193
+0.0105471
+0.00876542
+0.00701211
+0.0053526
+0.00389576
+0.00257559
+0.00164259
+0.00149796
+0.00225161
+0.00335538
+0.00457291
+0.00593137
+0.00750093
+0.00900063
+0.0106438
+0.0123199
+0.0141175
+0.01601
+0.0177188
+0.0194714
+0.0213048
+0.0232002
+0.0251436
+0.0270428
+0.0288792
+0.030762
+0.0326833
+0.0346365
+0.0366026
+0.0385569
+0.0405138
+0.0424853
+0.0444772
+0.0464871
+0.0480007
+0.0490954
+0.049371
+0.0497299
+0.050182
+0.0507248
+0.0513553
+0.0520705
+0.0528668
+0.0537407
+0.0546777
+0.055679
+0.0567473
+0.0575841
+0.0581142
+0.0587212
+0.0594029
+0.0601566
+0.0609798
+0.0613305
+0.0601235
+0.0589733
+0.0578801
+0.0568371
+0.0558606
+0.0549541
+0.0541079
+0.053317
+0.0526054
+0.0519765
+0.0514333
+0.0509785
+0.0506048
+0.0503172
+0.0501216
+0.0500214
+0.0500169
+0.0501073
+0.0502818
+0.0505508
+0.0509127
+0.051341
+0.0518409
+0.0524276
+0.0530812
+0.0514587
+0.0496034
+0.0477765
+0.0459548
+0.0441409
+0.0423442
+0.0404427
+0.0385193
+0.0366239
+0.0347366
+0.0328819
+0.0309476
+0.0289544
+0.0269617
+0.0249867
+0.023008
+0.0210713
+0.0191892
+0.0172995
+0.0153753
+0.0135194
+0.0117547
+0.0100415
+0.00837798
+0.00679381
+0.00538105
+0.00421764
+0.00336244
+0.00303565
+0.00346844
+0.00444011
+0.00560798
+0.00681992
+0.00815491
+0.00965274
+0.0111594
+0.0127848
+0.0145319
+0.0161509
+0.0178652
+0.0196047
+0.0214267
+0.0233122
+0.025247
+0.0271742
+0.0289848
+0.0308323
+0.0327174
+0.0346296
+0.0365723
+0.0385281
+0.0405079
+0.0425085
+0.0441011
+0.0453971
+0.0467587
+0.0481441
+0.0493197
+0.0497084
+0.0501896
+0.0507607
+0.051419
+0.0521516
+0.0529642
+0.0538537
+0.0548101
+0.055809
+0.0568749
+0.0579185
+0.0584455
+0.0590492
+0.0597271
+0.0604768
+0.0612957
+0.0613948
+0.0601891
+0.0590402
+0.0579513
+0.0569259
+0.0559598
+0.055055
+0.0542235
+0.0534557
+0.052746
+0.0521188
+0.051577
+0.0511235
+0.0507606
+0.0504778
+0.0502829
+0.050183
+0.0501786
+0.0502697
+0.0504473
+0.0507153
+0.0510761
+0.0515275
+0.0520549
+0.0526392
+0.0532902
+0.0526354
+0.0508223
+0.0489927
+0.0471939
+0.0453287
+0.043412
+0.0415087
+0.03962
+0.037751
+0.0358405
+0.0338474
+0.0318595
+0.0298724
+0.0278961
+0.0259543
+0.0240553
+0.0221799
+0.0202368
+0.0183496
+0.0165088
+0.0147393
+0.0129766
+0.0112971
+0.00968631
+0.00825175
+0.00698989
+0.00587753
+0.00503792
+0.0046297
+0.00484714
+0.00563009
+0.00671452
+0.00788128
+0.00913299
+0.0104436
+0.011868
+0.0133962
+0.0149802
+0.0165613
+0.0182633
+0.0199788
+0.0217695
+0.0236276
+0.0255215
+0.027276
+0.0290895
+0.0309504
+0.0328301
+0.0347346
+0.0366585
+0.0386109
+0.0401021
+0.0413006
+0.0425692
+0.0439105
+0.0453064
+0.0467348
+0.0482205
+0.0496706
+0.0501521
+0.0507237
+0.0513823
+0.0521154
+0.0529286
+0.0538187
+0.0547819
+0.0558117
+0.0568938
+0.0580384
+0.0588567
+0.0594561
+0.0601295
+0.0608742
+0.0616878
+0.0615329
+0.06033
+0.0591838
+0.0580976
+0.0570748
+0.056119
+0.0552335
+0.054414
+0.0536622
+0.0529753
+0.0523509
+0.0518116
+0.0513601
+0.0509989
+0.050728
+0.0505341
+0.0504346
+0.0504302
+0.0505209
+0.0507061
+0.0509736
+0.0513325
+0.0517817
+0.0523188
+0.0529407
+0.053588
+0.0531473
+0.0520377
+0.0502171
+0.0483058
+0.0463964
+0.0445067
+0.0426268
+0.0407347
+0.0387418
+0.0367575
+0.0347616
+0.0327874
+0.0308423
+0.0289324
+0.0270604
+0.0251128
+0.0232085
+0.0213283
+0.019504
+0.0176991
+0.0159349
+0.0142716
+0.0126712
+0.0111811
+0.00983866
+0.00858873
+0.00758304
+0.00675314
+0.00627916
+0.00633559
+0.00689796
+0.00783026
+0.0090148
+0.0102289
+0.0114016
+0.0127004
+0.0141587
+0.0156557
+0.0172423
+0.0188831
+0.0205248
+0.0222462
+0.023954
+0.025717
+0.027525
+0.0293356
+0.0311726
+0.0330526
+0.0349516
+0.0362876
+0.0373664
+0.0385387
+0.0397759
+0.0410916
+0.0424795
+0.0439154
+0.0453876
+0.046916
+0.0484948
+0.0501137
+0.0507745
+0.0514225
+0.0521545
+0.052967
+0.0538565
+0.0548191
+0.0558474
+0.0569288
+0.0580727
+0.0592756
+0.0599404
+0.0606084
+0.0613473
+0.0620996
+0.0617485
+0.0605499
+0.0594079
+0.0583259
+0.0573072
+0.0563553
+0.0554736
+0.0546656
+0.0539303
+0.0532444
+0.0526394
+0.0521031
+0.0516542
+0.051295
+0.0510274
+0.0508529
+0.0507724
+0.0507752
+0.0508653
+0.0510493
+0.0513242
+0.0516807
+0.0521269
+0.0526605
+0.0532789
+0.0539732
+0.0533966
+0.0528808
+0.0512862
+0.0493949
+0.0475072
+0.0456298
+0.0436372
+0.0416477
+0.0396532
+0.0376805
+0.0357332
+0.0338156
+0.0319333
+0.0299951
+0.0280807
+0.0261771
+0.0243219
+0.0224917
+0.0206722
+0.0189296
+0.0172431
+0.0156479
+0.0141189
+0.0126917
+0.0113347
+0.0101937
+0.00924044
+0.00846109
+0.00796196
+0.00794215
+0.00837139
+0.00916395
+0.0102547
+0.0114059
+0.0125036
+0.0137086
+0.0150285
+0.0164274
+0.0179053
+0.0194582
+0.0210744
+0.022679
+0.0243431
+0.0260598
+0.0278431
+0.029681
+0.0315077
+0.0327627
+0.0336698
+0.0346917
+0.0358185
+0.0370238
+0.0383094
+0.0396738
+0.0411096
+0.0425917
+0.0441081
+0.0456793
+0.0472995
+0.0489578
+0.0506565
+0.0515544
+0.0522845
+0.0530951
+0.0539825
+0.0549429
+0.0559689
+0.057048
+0.0581896
+0.0593901
+0.0604436
+0.0610452
+0.0617121
+0.0624256
+0.0620407
+0.0608479
+0.0597116
+0.0586352
+0.057622
+0.0566753
+0.0557987
+0.0549954
+0.0542649
+0.0535832
+0.0529834
+0.0524683
+0.0520389
+0.0516824
+0.0514168
+0.0512436
+0.0511637
+0.0511775
+0.051285
+0.0514835
+0.0517581
+0.0521186
+0.0525611
+0.0530903
+0.0537038
+0.0543102
+0.0537181
+0.0532078
+0.0523911
+0.0505196
+0.0485331
+0.0465373
+0.0445463
+0.0425748
+0.0406259
+0.0387027
+0.0368095
+0.0348786
+0.0329555
+0.0310416
+0.0291607
+0.0273147
+0.0254706
+0.0236774
+0.0219031
+0.020207
+0.0185761
+0.0169789
+0.015525
+0.0142096
+0.012943
+0.011864
+0.0109622
+0.0102263
+0.00976725
+0.00971813
+0.0100197
+0.0106597
+0.0116388
+0.0127307
+0.0137044
+0.0147852
+0.0160274
+0.0173598
+0.0187492
+0.0202333
+0.0217351
+0.023266
+0.0248955
+0.0265768
+0.0283275
+0.029631
+0.0303159
+0.0311403
+0.0320932
+0.0331637
+0.0343274
+0.0355788
+0.0369147
+0.0383288
+0.0397965
+0.0413073
+0.0428768
+0.0444988
+0.0461679
+0.0478744
+0.0496101
+0.0513807
+0.0525058
+0.053313
+0.0541967
+0.0551534
+0.0561756
+0.0572508
+0.0583884
+0.0595849
+0.0608116
+0.0613709
+0.0619811
+0.062662
+0.0623991
+0.0612154
+0.0600884
+0.0590211
+0.0580169
+0.0570777
+0.0562074
+0.05541
+0.0546852
+0.0540088
+0.0534138
+0.0529029
+0.0524785
+0.0521428
+0.0518958
+0.0517242
+0.0516451
+0.0516588
+0.0517653
+0.051964
+0.0522522
+0.052614
+0.053064
+0.0535997
+0.0542125
+0.054713
+0.0541227
+0.0536137
+0.0531901
+0.0514287
+0.0494405
+0.0474701
+0.0455198
+0.0435924
+0.041691
+0.0397654
+0.0378205
+0.0358989
+0.0339956
+0.0321287
+0.0303011
+0.0284671
+0.0266488
+0.0248905
+0.0232059
+0.0215129
+0.0199103
+0.0184283
+0.0170711
+0.0157631
+0.0146067
+0.0136227
+0.0127613
+0.0120441
+0.011612
+0.0115205
+0.0117485
+0.0123039
+0.0131472
+0.0141248
+0.0149287
+0.0159366
+0.0171229
+0.0184569
+0.0197924
+0.0211471
+0.022559
+0.0240375
+0.025618
+0.027018
+0.0274308
+0.0279984
+0.0287223
+0.0295911
+0.0305923
+0.0317045
+0.0329098
+0.0342131
+0.0355867
+0.0370263
+0.0385322
+0.0400907
+0.041706
+0.0433718
+0.0450826
+0.0468334
+0.0486198
+0.0504158
+0.0522217
+0.0536091
+0.0544881
+0.0554397
+0.0564604
+0.0575362
+0.0586683
+0.0598592
+0.0611024
+0.0616125
+0.062056
+0.0625731
+0.0628265
+0.061651
+0.0605321
+0.0594714
+0.0584727
+0.0575401
+0.0566768
+0.0558862
+0.0551712
+0.0545193
+0.0539299
+0.0534239
+0.0530037
+0.0526713
+0.0524284
+0.0522763
+0.0522011
+0.0522147
+0.05232
+0.0525166
+0.0528035
+0.0531726
+0.0536179
+0.0541481
+0.054761
+0.055189
+0.0546021
+0.0540976
+0.0536778
+0.0523659
+0.0504147
+0.0484839
+0.0465761
+0.0446302
+0.0426803
+0.0407548
+0.0388465
+0.0369649
+0.0351191
+0.0332749
+0.0314358
+0.0296436
+0.0279021
+0.0261786
+0.0244895
+0.0228856
+0.021386
+0.0199896
+0.0186554
+0.0174314
+0.016361
+0.015406
+0.0145771
+0.0139188
+0.0135252
+0.0134029
+0.0135743
+0.0140142
+0.0147105
+0.0155418
+0.0163041
+0.0172645
+0.0183727
+0.0195257
+0.0207991
+0.0221778
+0.0235585
+0.0245505
+0.0247932
+0.0252246
+0.0258061
+0.0264408
+0.0272062
+0.0281218
+0.0291731
+0.0303225
+0.0315704
+0.0328943
+0.0343071
+0.0357982
+0.0373537
+0.0389593
+0.0406197
+0.0423283
+0.0440796
+0.0458686
+0.0476912
+0.049521
+0.0513583
+0.0532225
+0.0548417
+0.0557874
+0.0568018
+0.0578814
+0.0590135
+0.0601976
+0.0610594
+0.0614288
+0.0618736
+0.0623857
+0.0633268
+0.062159
+0.0610472
+0.0599947
+0.0590048
+0.0580808
+0.0572257
+0.0564427
+0.0557349
+0.0550938
+0.0545186
+0.0540181
+0.0536026
+0.0532739
+0.0530338
+0.0528834
+0.0528235
+0.0528507
+0.0529548
+0.0531491
+0.0534325
+0.0538037
+0.0542546
+0.0547787
+0.0553846
+0.0557245
+0.0551433
+0.0546438
+0.0542283
+0.0533767
+0.0514638
+0.0495
+0.047548
+0.0456176
+0.0437079
+0.0418156
+0.0399537
+0.0381052
+0.0362463
+0.0344265
+0.0326518
+0.0309106
+0.0291727
+0.027493
+0.0258818
+0.0243379
+0.0228833
+0.0215536
+0.0203017
+0.019148
+0.0181101
+0.0172277
+0.0164354
+0.0158591
+0.015448
+0.0153248
+0.0154092
+0.0157973
+0.0163594
+0.0170748
+0.0177837
+0.0186932
+0.0196364
+0.0206765
+0.0218665
+0.0227981
+0.0226684
+0.02272
+0.0229813
+0.0234393
+0.0240561
+0.0248512
+0.0257693
+0.0267342
+0.027838
+0.0290019
+0.0302796
+0.0316575
+0.033123
+0.0346652
+0.0362694
+0.0379209
+0.0396248
+0.0413745
+0.0431645
+0.04499
+0.0468468
+0.0486941
+0.0505615
+0.0524529
+0.0543627
+0.0562183
+0.0572251
+0.0582968
+0.05943
+0.0606125
+0.0609506
+0.0613206
+0.061762
+0.0622666
+0.0638941
+0.0627364
+0.061635
+0.0605927
+0.0596128
+0.0586983
+0.0578524
+0.057078
+0.0563723
+0.0557331
+0.0551735
+0.054687
+0.0542766
+0.0539521
+0.053715
+0.0535665
+0.0535074
+0.0535379
+0.0536579
+0.0538538
+0.0541335
+0.0544998
+0.0549512
+0.0554854
+0.0560869
+0.0563402
+0.0557655
+0.0552716
+0.0548608
+0.054375
+0.0524214
+0.0504872
+0.0485747
+0.0466763
+0.0448021
+0.0429505
+0.0410777
+0.0392374
+0.0374348
+0.0356433
+0.0338719
+0.0321522
+0.0304721
+0.0288529
+0.0272981
+0.0258245
+0.0244584
+0.0231879
+0.0219775
+0.0208391
+0.019871
+0.0190869
+0.0183142
+0.0177369
+0.0173582
+0.0172093
+0.0172942
+0.0175945
+0.018103
+0.0186757
+0.0193666
+0.0201955
+0.0209807
+0.0218902
+0.0213655
+0.0210119
+0.0208834
+0.0209429
+0.021226
+0.0217196
+0.0223838
+0.0232362
+0.0242572
+0.0254263
+0.0265467
+0.0277646
+0.0290967
+0.030528
+0.0320452
+0.0336368
+0.0352845
+0.0369813
+0.0387274
+0.0405165
+0.0423431
+0.0442025
+0.0460534
+0.0479236
+0.0498199
+0.0517395
+0.0535666
+0.0551773
+0.0568269
+0.058512
+0.0599148
+0.0606141
+0.0609074
+0.0612778
+0.0617194
+0.0622244
+0.0645058
+0.0633844
+0.0622943
+0.0612633
+0.0602943
+0.0593903
+0.0585543
+0.0577889
+0.0570815
+0.0564503
+0.0558979
+0.0554266
+0.0550297
+0.0547096
+0.0544758
+0.0543294
+0.0542711
+0.0543012
+0.0544196
+0.0546256
+0.0549062
+0.0552675
+0.0557126
+0.0562395
+0.0568461
+0.0570238
+0.056456
+0.0559682
+0.0555626
+0.055241
+0.0534444
+0.0515441
+0.0496604
+0.0478029
+0.0459233
+0.0440675
+0.0422438
+0.0404156
+0.0386146
+0.0368558
+0.0351455
+0.0334577
+0.0318188
+0.0302388
+0.028739
+0.0273276
+0.0259957
+0.024782
+0.0235991
+0.0225617
+0.0216594
+0.0208712
+0.0201558
+0.0196373
+0.019274
+0.0191399
+0.0191985
+0.0194647
+0.0199013
+0.0203867
+0.0210587
+0.0217014
+0.0210067
+0.0202288
+0.0196611
+0.0192765
+0.0191363
+0.0192253
+0.0195336
+0.0200777
+0.0207969
+0.0217117
+0.022801
+0.0240411
+0.0253782
+0.0266495
+0.0280346
+0.0295175
+0.0310806
+0.0327026
+0.0343877
+0.0361271
+0.0379133
+0.03974
+0.0416019
+0.0434732
+0.045344
+0.0472423
+0.0491649
+0.0508308
+0.0524341
+0.0540786
+0.0557607
+0.0574771
+0.0592247
+0.0606499
+0.0609431
+0.0613132
+0.0617546
+0.0622593
+0.0647859
+0.0640959
+0.0630182
+0.0619992
+0.0610418
+0.0601491
+0.0593238
+0.0585629
+0.0578649
+0.0572424
+0.0566977
+0.0562331
+0.0558507
+0.0555432
+0.055313
+0.0551688
+0.0551114
+0.0551411
+0.0552576
+0.0554605
+0.0557488
+0.0561102
+0.0565486
+0.0570679
+0.0576657
+0.057776
+0.0572156
+0.0567344
+0.0563343
+0.0558363
+0.0540922
+0.0523771
+0.0506987
+0.0489113
+0.0470693
+0.0452149
+0.0433919
+0.0415911
+0.0398104
+0.0380726
+0.0363836
+0.0347508
+0.0331689
+0.0316563
+0.030227
+0.0288629
+0.0276039
+0.0264014
+0.025272
+0.02427
+0.0234125
+0.0227103
+0.0220503
+0.0215711
+0.0212265
+0.0211048
+0.0211542
+0.0213922
+0.0217196
+0.0221092
+0.0216921
+0.0204976
+0.019473
+0.0186443
+0.0180244
+0.0176309
+0.0174775
+0.0175945
+0.0179323
+0.0185207
+0.0193095
+0.020305
+0.0214683
+0.022781
+0.0242081
+0.0256404
+0.0270771
+0.0286097
+0.0302178
+0.0318837
+0.0336099
+0.0353875
+0.0372092
+0.0390689
+0.0409612
+0.0428331
+0.0447306
+0.0465938
+0.0481389
+0.0497325
+0.0513701
+0.0530476
+0.0547614
+0.0565081
+0.0582849
+0.0600889
+0.0610574
+0.0614268
+0.0618674
+0.0623711
+0.0651386
+0.0647532
+0.0638039
+0.0627977
+0.0618527
+0.0609718
+0.0601578
+0.0594076
+0.0587197
+0.0581063
+0.0575698
+0.0571123
+0.0567358
+0.0564419
+0.0562231
+0.0560813
+0.0560248
+0.056054
+0.0561686
+0.0563682
+0.0566519
+0.0570184
+0.0574556
+0.0579668
+0.0585555
+0.0586004
+0.058048
+0.0575737
+0.0570372
+0.055246
+0.0534846
+0.0517559
+0.0500634
+0.048407
+0.0467913
+0.045214
+0.0436895
+0.0422236
+0.0408228
+0.0393359
+0.0377036
+0.0361159
+0.0345935
+0.033146
+0.0317735
+0.0304779
+0.0292269
+0.0280424
+0.0269655
+0.0260286
+0.0252123
+0.0245613
+0.0239951
+0.0235369
+0.0232215
+0.0231103
+0.0231409
+0.0232881
+0.0233368
+0.0218116
+0.0204079
+0.0191435
+0.0180463
+0.01716
+0.0164913
+0.0160881
+0.0159199
+0.0160516
+0.0164487
+0.0170912
+0.0179482
+0.0190151
+0.0202536
+0.0216401
+0.0231369
+0.0247276
+0.0262655
+0.0278428
+0.0294927
+0.0311974
+0.0329595
+0.0347704
+0.0366229
+0.0385108
+0.0404038
+0.0422969
+0.0439701
+0.0454988
+0.0470798
+0.048708
+0.0503789
+0.0520884
+0.0538327
+0.0556086
+0.0574132
+0.0592438
+0.0610982
+0.0615855
+0.0620292
+0.0625465
+0.0655527
+0.0651698
+0.0646544
+0.0636616
+0.0627296
+0.0618612
+0.0610591
+0.0603191
+0.0596417
+0.0590379
+0.0585099
+0.0580599
+0.0576895
+0.0574005
+0.0571939
+0.0570554
+0.0569999
+0.0570285
+0.0571412
+0.0573375
+0.0576164
+0.0579768
+0.0584151
+0.058918
+0.0594973
+0.0594941
+0.0589501
+0.058378
+0.0565444
+0.0547371
+0.0529587
+0.0512123
+0.0494966
+0.0478161
+0.0461727
+0.0445734
+0.0430262
+0.041537
+0.0401121
+0.0387588
+0.0374847
+0.0362982
+0.0352082
+0.0342239
+0.0333333
+0.032049
+0.0308296
+0.0297176
+0.0287018
+0.0278071
+0.0270414
+0.0264354
+0.0259042
+0.0255392
+0.0252489
+0.0250642
+0.024985
+0.024041
+0.0223497
+0.020752
+0.0192712
+0.0179342
+0.016758
+0.0157996
+0.0150707
+0.0146286
+0.0144818
+0.0146265
+0.0150855
+0.0157839
+0.0167287
+0.0178824
+0.0192116
+0.0206682
+0.0222304
+0.0238816
+0.0256139
+0.0272309
+0.0289158
+0.0306526
+0.0324423
+0.0342735
+0.0361447
+0.0380501
+0.0399552
+0.0414119
+0.0429199
+0.0444847
+0.0461005
+0.0477622
+0.049465
+0.051205
+0.0529784
+0.054782
+0.056613
+0.0584687
+0.0603468
+0.0617488
+0.0621913
+0.0627073
+0.0660158
+0.0656385
+0.0653296
+0.0645883
+0.0636699
+0.0628145
+0.0620247
+0.0612926
+0.0606261
+0.0600322
+0.0595131
+0.0590706
+0.0587067
+0.0584227
+0.0582198
+0.0580876
+0.0580331
+0.0580612
+0.0581719
+0.0583647
+0.0586387
+0.0589929
+0.0594257
+0.0599336
+0.0605032
+0.060454
+0.0598492
+0.0579794
+0.0561328
+0.0543113
+0.0525122
+0.0507426
+0.0490069
+0.0473091
+0.0456474
+0.044029
+0.042462
+0.0409523
+0.0395063
+0.0381315
+0.0368357
+0.0356276
+0.0345164
+0.0335118
+0.032602
+0.0318115
+0.0311553
+0.0306419
+0.0302788
+0.0295954
+0.0288771
+0.0283105
+0.02777
+0.027354
+0.0270465
+0.0268564
+0.0250596
+0.0232412
+0.0214925
+0.0198317
+0.0182786
+0.0168653
+0.0156324
+0.0145905
+0.013805
+0.0133237
+0.0131911
+0.0133571
+0.0138644
+0.0146709
+0.015695
+0.0169234
+0.0183259
+0.0198475
+0.0214851
+0.0232031
+0.0249909
+0.0267848
+0.0284781
+0.030232
+0.0320398
+0.0338927
+0.0357839
+0.0375182
+0.0389323
+0.0404141
+0.0419579
+0.0435573
+0.0452063
+0.0468996
+0.0486327
+0.0504014
+0.0522021
+0.0540317
+0.0558872
+0.0577662
+0.0596665
+0.061586
+0.06243
+0.062944
+0.0665227
+0.0661735
+0.0658699
+0.0655751
+0.0646707
+0.0638288
+0.0630517
+0.062328
+0.0616727
+0.0610889
+0.0605788
+0.0601443
+0.0597868
+0.059508
+0.0593088
+0.0591829
+0.0591294
+0.059157
+0.0592657
+0.0594549
+0.0597239
+0.0600717
+0.0604968
+0.0609977
+0.0615707
+0.0614416
+0.0595412
+0.0576597
+0.0557956
+0.0539558
+0.0521431
+0.0503604
+0.0486111
+0.0468989
+0.0452219
+0.0435878
+0.0420043
+0.0404775
+0.0390139
+0.0376211
+0.036305
+0.0350722
+0.0339363
+0.0329071
+0.0319951
+0.0311986
+0.0305292
+0.0300052
+0.0296342
+0.0294221
+0.0293723
+0.0294736
+0.0295645
+0.0291655
+0.0283124
+0.0263652
+0.0244591
+0.0226009
+0.0207984
+0.0190773
+0.0174605
+0.0159751
+0.0146675
+0.0135892
+0.0127394
+0.0122131
+0.0120676
+0.0122877
+0.0128374
+0.013712
+0.0148495
+0.0161634
+0.0176396
+0.0192203
+0.0209095
+0.0226823
+0.0245114
+0.0263771
+0.0281894
+0.0299603
+0.0317835
+0.0336456
+0.0351677
+0.0365454
+0.0379957
+0.0395126
+0.0410903
+0.0427222
+0.0444022
+0.046125
+0.0478862
+0.0496815
+0.0515074
+0.0533607
+0.0552388
+0.0571391
+0.0590596
+0.0609982
+0.0627442
+0.0632557
+0.0670974
+0.0667512
+0.0664754
+0.0662457
+0.0657294
+0.0649011
+0.0641344
+0.0634221
+0.0627782
+0.0622049
+0.061704
+0.0612774
+0.0609267
+0.060653
+0.0604576
+0.0603379
+0.0602854
+0.0603125
+0.0604191
+0.0606047
+0.0608686
+0.0612099
+0.0616272
+0.062119
+0.0626835
+0.0612166
+0.0593022
+0.0574076
+0.0555348
+0.053686
+0.0518639
+0.0500713
+0.0483039
+0.0465719
+0.0448799
+0.0432328
+0.0416358
+0.040095
+0.038617
+0.0372093
+0.035877
+0.0346291
+0.0334781
+0.0324344
+0.0315086
+0.0307115
+0.0300441
+0.02951
+0.0291312
+0.0289139
+0.0288617
+0.0289751
+0.0292413
+0.0296657
+0.0279282
+0.0259521
+0.0240133
+0.0221216
+0.0202901
+0.0185273
+0.0168522
+0.0153078
+0.0139378
+0.0127981
+0.011911
+0.0113628
+0.0112063
+0.0114461
+0.0120661
+0.0129999
+0.0142129
+0.0156135
+0.0171605
+0.0187984
+0.0205222
+0.0223259
+0.024183
+0.0260826
+0.0280248
+0.0298473
+0.0316631
+0.032941
+0.0342682
+0.0356807
+0.0371647
+0.0387142
+0.0403232
+0.0419849
+0.0436932
+0.045443
+0.0472295
+0.0490489
+0.0508975
+0.0527723
+0.0546705
+0.05659
+0.0585285
+0.0604757
+0.0624384
+0.0636413
+0.067738
+0.0673951
+0.067122
+0.0669195
+0.0667632
+0.0660288
+0.0652718
+0.0645721
+0.0639398
+0.0633769
+0.0628854
+0.0624669
+0.0621228
+0.0618545
+0.0616629
+0.0615487
+0.0614978
+0.0615243
+0.0616288
+0.0618108
+0.0620696
+0.0624043
+0.0628137
+0.0632962
+0.0629948
+0.0610576
+0.0591381
+0.057238
+0.0553595
+0.0535028
+0.0516665
+0.0498588
+0.048083
+0.0463427
+0.0446421
+0.0429859
+0.0413793
+0.0398286
+0.0383403
+0.0369221
+0.035579
+0.0343202
+0.0331585
+0.0321044
+0.0311689
+0.0303629
+0.0296876
+0.029147
+0.0287634
+0.0285433
+0.0284904
+0.0286057
+0.0288871
+0.0293299
+0.0277123
+0.0257196
+0.0237618
+0.0218483
+0.0199918
+0.0182002
+0.0164919
+0.0149103
+0.0135
+0.0123199
+0.0113956
+0.0108233
+0.0106601
+0.0109087
+0.0115634
+0.0125605
+0.0138121
+0.0152767
+0.0168748
+0.0185874
+0.0203632
+0.0221811
+0.0240493
+0.0259588
+0.0279096
+0.0297092
+0.0308649
+0.0321286
+0.0334881
+0.0349322
+0.0364467
+0.0380254
+0.0396624
+0.0413506
+0.0430841
+0.0448577
+0.0466666
+0.0485071
+0.0503756
+0.0522691
+0.054185
+0.0561152
+0.05806
+0.0600217
+0.0619987
+0.0639896
+0.0684428
+0.0681034
+0.0678331
+0.0676328
+0.067503
+0.067209
+0.0664614
+0.0657743
+0.0651537
+0.0646014
+0.0641193
+0.0637088
+0.0633715
+0.0631085
+0.0629207
+0.0628088
+0.0627632
+0.0627892
+0.0628916
+0.0630699
+0.0633236
+0.0636517
+0.0640531
+0.0645264
+0.0629071
+0.0609679
+0.0590462
+0.0571439
+0.0552592
+0.0533934
+0.0515532
+0.0497414
+0.0479612
+0.0462163
+0.0445109
+0.0428496
+0.0412378
+0.0396815
+0.0381875
+0.0367634
+0.0354143
+0.0341494
+0.0329817
+0.0319218
+0.0309807
+0.0301697
+0.02949
+0.0289457
+0.0285594
+0.0283377
+0.0282844
+0.0284005
+0.028684
+0.0291299
+0.0276687
+0.0256726
+0.023711
+0.021793
+0.0199313
+0.0181337
+0.0164185
+0.0148291
+0.0134102
+0.0122215
+0.0112823
+0.0107007
+0.0105402
+0.0107969
+0.0114585
+0.012464
+0.0137244
+0.0151975
+0.0168276
+0.0185576
+0.0203648
+0.0222411
+0.0241148
+0.0260195
+0.02791
+0.028972
+0.030156
+0.0314482
+0.0328359
+0.0343061
+0.0358452
+0.0374494
+0.0391104
+0.0408215
+0.0425766
+0.0443704
+0.0461984
+0.0480568
+0.0499422
+0.051851
+0.0537714
+0.0557118
+0.0576702
+0.0596447
+0.0616338
+0.0636362
+0.0692097
+0.0688742
+0.0686069
+0.0684088
+0.0682805
+0.0682223
+0.0676912
+0.0670167
+0.0664077
+0.065866
+0.0653931
+0.0649908
+0.0646602
+0.0644024
+0.0642184
+0.0641087
+0.0640738
+0.0641033
+0.0642036
+0.0643783
+0.0646268
+0.0649483
+0.0653418
+0.0648462
+0.0628905
+0.0609507
+0.0590285
+0.0571256
+0.0552402
+0.0533737
+0.0515328
+0.0497203
+0.0479394
+0.0461937
+0.0444873
+0.0428251
+0.0412124
+0.0396551
+0.03816
+0.0367348
+0.0353847
+0.0341187
+0.0329499
+0.0318889
+0.0309469
+0.0301349
+0.0294545
+0.0289094
+0.0285227
+0.0283007
+0.0282473
+0.0283636
+0.0286474
+0.0290939
+0.0277982
+0.0258121
+0.023862
+0.0219558
+0.0200914
+0.0182975
+0.0165993
+0.0150289
+0.0136309
+0.0124499
+0.0115159
+0.0109467
+0.010787
+0.0110454
+0.0117077
+0.0127175
+0.0139753
+0.0154244
+0.0170328
+0.0187501
+0.0205404
+0.0224021
+0.0243087
+0.0262181
+0.0272893
+0.0283852
+0.0295927
+0.0309029
+0.0323074
+0.0337956
+0.035357
+0.0369823
+0.0386634
+0.0403935
+0.0421663
+0.0439769
+0.0458206
+0.0476937
+0.0495929
+0.0515074
+0.0534402
+0.0553922
+0.0573615
+0.0593462
+0.0613449
+0.0633551
+0.0700369
+0.0697053
+0.0694412
+0.0692455
+0.0691187
+0.0690612
+0.0689687
+0.0683068
+0.0677094
+0.0671782
+0.0667147
+0.0663203
+0.0659963
+0.0657438
+0.0655636
+0.0654562
+0.065422
+0.0654605
+0.0655593
+0.0657304
+0.0659738
+0.0662888
+0.0666743
+0.0649041
+0.0629501
+0.0610122
+0.059092
+0.0571912
+0.055308
+0.053444
+0.0516056
+0.0497957
+0.0480175
+0.0462748
+0.0445716
+0.0429126
+0.0413033
+0.0397495
+0.0382582
+0.0368368
+0.0354905
+0.0342285
+0.0330635
+0.0320063
+0.0310678
+0.0302591
+0.0295815
+0.0290389
+0.0286539
+0.0284329
+0.0283798
+0.0284955
+0.0287781
+0.0292225
+0.0280984
+0.0261298
+0.024189
+0.0222946
+0.0204594
+0.0187009
+0.0170429
+0.0155175
+0.0141677
+0.0130354
+0.0121466
+0.0116084
+0.0114552
+0.0117015
+0.0123286
+0.0132913
+0.0144994
+0.0159008
+0.0174654
+0.0191531
+0.0209342
+0.0227735
+0.0246612
+0.0258014
+0.0267945
+0.0279245
+0.0291658
+0.030493
+0.0319155
+0.0334212
+0.0349993
+0.0366405
+0.0383366
+0.0400808
+0.0418669
+0.0436898
+0.0455452
+0.0474289
+0.0493302
+0.0512492
+0.0531892
+0.0551479
+0.0571235
+0.0591143
+0.0611188
+0.0631356
+0.070922
+0.0705946
+0.0703339
+0.0701407
+0.0700155
+0.0699588
+0.0699706
+0.069642
+0.0690561
+0.0685353
+0.068081
+0.0676946
+0.0673773
+0.0671299
+0.0669534
+0.0668482
+0.0668148
+0.0668531
+0.0669592
+0.0671268
+0.0673652
+0.0676737
+0.066783
+0.0650357
+0.0630858
+0.0611522
+0.0592365
+0.0573405
+0.0554624
+0.0536037
+0.051771
+0.0499671
+0.0481953
+0.0464592
+0.044763
+0.0431114
+0.0415098
+0.0399641
+0.038481
+0.0370682
+0.0357306
+0.0344774
+0.0333211
+0.0322724
+0.0313345
+0.0305225
+0.0298495
+0.0293251
+0.0289451
+0.0287263
+0.0286738
+0.0287883
+0.0290636
+0.0294851
+0.0285402
+0.0265949
+0.0246907
+0.0228379
+0.0210501
+0.0193454
+0.0177477
+0.0162885
+0.0150082
+0.0139443
+0.0131172
+0.012618
+0.0124773
+0.0127062
+0.0132859
+0.0141838
+0.0153217
+0.0166541
+0.0181538
+0.0197829
+0.0215119
+0.0233187
+0.024596
+0.0254479
+0.0264543
+0.0275983
+0.0288634
+0.0302264
+0.0316609
+0.0331781
+0.0347673
+0.0364173
+0.0381192
+0.0398689
+0.041656
+0.0434796
+0.0453357
+0.0472205
+0.0491306
+0.0510626
+0.053014
+0.0549829
+0.0569642
+0.058958
+0.0609634
+0.0629812
+0.0718631
+0.07154
+0.0712827
+0.0710921
+0.0709686
+0.0709126
+0.0709243
+0.0710035
+0.0704452
+0.0699347
+0.0694896
+0.0691111
+0.0688002
+0.0685581
+0.0683852
+0.0682823
+0.0682495
+0.068287
+0.0683948
+0.0685647
+0.0687981
+0.0681427
+0.0666074
+0.0651096
+0.063297
+0.0613701
+0.0594614
+0.0575729
+0.0557026
+0.0538522
+0.0520282
+0.0502335
+0.0484715
+0.0467456
+0.0450602
+0.04342
+0.0418301
+0.0402967
+0.0388264
+0.0374266
+0.0361023
+0.0348563
+0.0337037
+0.0326575
+0.0317284
+0.0309267
+0.0302627
+0.0297456
+0.029371
+0.0291555
+0.0291037
+0.0292166
+0.0294879
+0.0299034
+0.0291318
+0.0272288
+0.0253722
+0.0235731
+0.0218456
+0.0202081
+0.0186843
+0.0173042
+0.0161049
+0.0151184
+0.014359
+0.0139023
+0.0137747
+0.0139846
+0.0145133
+0.0153395
+0.0163974
+0.0176488
+0.0190705
+0.0206273
+0.0222909
+0.0236907
+0.0244167
+0.0252801
+0.0262929
+0.0274436
+0.0286981
+0.030046
+0.0314888
+0.0330139
+0.0346054
+0.0362522
+0.0379541
+0.0397038
+0.0414955
+0.0433239
+0.0451845
+0.0470735
+0.0489877
+0.0509241
+0.0528804
+0.0548544
+0.0568443
+0.0588485
+0.0608625
+0.0628835
+0.0728579
+0.0725392
+0.0722855
+0.0720975
+0.0719758
+0.0719206
+0.0719321
+0.0720102
+0.0718742
+0.0713739
+0.0709378
+0.0705671
+0.0702627
+0.0700256
+0.0698564
+0.0697556
+0.0697235
+0.0697603
+0.0698657
+0.0700396
+0.0696139
+0.0680412
+0.0665035
+0.0650033
+0.0635021
+0.0616651
+0.0597659
+0.0578816
+0.0560175
+0.0541779
+0.0523653
+0.0505826
+0.0488331
+0.0471205
+0.045449
+0.0438233
+0.0422486
+0.0407309
+0.0392769
+0.0378937
+0.0365789
+0.0353468
+0.0342108
+0.0331806
+0.0322665
+0.0314786
+0.0308265
+0.030319
+0.0299516
+0.0297402
+0.0296895
+0.0298001
+0.0300662
+0.0304737
+0.0298727
+0.0280201
+0.0262196
+0.0244828
+0.0228243
+0.0212623
+0.0198197
+0.0185244
+0.0174093
+0.016501
+0.0158082
+0.0153926
+0.0152774
+0.0154689
+0.0159485
+0.0167039
+0.0176803
+0.0188467
+0.0201842
+0.0216611
+0.0230538
+0.0236338
+0.0243615
+0.0252583
+0.0262578
+0.0273762
+0.0286188
+0.0299703
+0.0314165
+0.032945
+0.0345397
+0.0361895
+0.0378941
+0.0396465
+0.0414407
+0.0432714
+0.0451342
+0.0470252
+0.0489412
+0.0508795
+0.0528374
+0.054813
+0.0568043
+0.0588098
+0.0608281
+0.062858
+0.0739043
+0.0735901
+0.0733401
+0.0731548
+0.0730348
+0.0729804
+0.0729917
+0.0730687
+0.0732113
+0.0728506
+0.0724234
+0.0720603
+0.0717623
+0.0715301
+0.0713645
+0.0712658
+0.0712344
+0.0712704
+0.0713736
+0.0711895
+0.0695835
+0.0680101
+0.0664717
+0.0649708
+0.063498
+0.0619239
+0.0601352
+0.0582608
+0.0564092
+0.0545828
+0.0527841
+0.051016
+0.0492819
+0.0475855
+0.0459309
+0.0443229
+0.0427666
+0.041268
+0.0398335
+0.0384704
+0.037176
+0.0359644
+0.0348484
+0.0338377
+0.0329418
+0.0321704
+0.0315327
+0.0310367
+0.0306779
+0.0304716
+0.0304221
+0.0305301
+0.0307898
+0.0311879
+0.0307478
+0.0289511
+0.0272123
+0.0255431
+0.0239581
+0.0224751
+0.0211155
+0.0199047
+0.0188714
+0.0180349
+0.0173933
+0.0170116
+0.0169075
+0.0170859
+0.0175383
+0.0182296
+0.019118
+0.0202016
+0.0214548
+0.0227944
+0.0232031
+0.0237794
+0.0245028
+0.0253798
+0.0263538
+0.0274683
+0.0287069
+0.0300544
+0.0314968
+0.0330216
+0.0346127
+0.0362592
+0.0379607
+0.0397102
+0.0415016
+0.0433297
+0.0451901
+0.0470789
+0.0489928
+0.0509291
+0.0528852
+0.054859
+0.0568488
+0.0588528
+0.0608697
+0.0628982
+0.075
+0.0746905
+0.0744441
+0.0742616
+0.0741434
+0.0740898
+0.074101
+0.0741768
+0.0743173
+0.0743625
+0.0739441
+0.0735885
+0.0732966
+0.0730693
+0.0729072
+0.0728106
+0.0727799
+0.0728151
+0.0728461
+0.0712272
+0.0696221
+0.0680496
+0.0665121
+0.0650121
+0.0635522
+0.0619972
+0.0604588
+0.0587193
+0.0568827
+0.0550719
+0.0532897
+0.051539
+0.0498231
+0.0481457
+0.0465111
+0.0449238
+0.0433891
+0.0419128
+0.0405012
+0.0391613
+0.0378905
+0.0367025
+0.0356097
+0.0346212
+0.0337461
+0.0329935
+0.032372
+0.0318891
+0.0315399
+0.0313393
+0.0312912
+0.0313962
+0.0316488
+0.0320363
+0.0317415
+0.0300045
+0.0283304
+0.0267311
+0.0252209
+0.0238166
+0.0225381
+0.0214079
+0.0204507
+0.0196575
+0.0190706
+0.0187232
+0.0186286
+0.0187907
+0.019203
+0.0198498
+0.0206773
+0.0216831
+0.0228552
+0.0231136
+0.0235298
+0.0241056
+0.0248336
+0.0256581
+0.0266219
+0.0277256
+0.0289533
+0.0302898
+0.0317215
+0.0332359
+0.0348224
+0.0364606
+0.0381532
+0.0398942
+0.0416777
+0.0434984
+0.0453519
+0.0472342
+0.0491421
+0.0510727
+0.0530235
+0.0549924
+0.0569775
+0.0589771
+0.0609899
+0.0630145
+0.0761431
+0.0758382
+0.0755956
+0.0754158
+0.0752995
+0.0752467
+0.0752577
+0.0753324
+0.0754706
+0.075663
+0.0754976
+0.0751494
+0.0748636
+0.0746411
+0.0744824
+0.0743879
+0.0743578
+0.0743923
+0.072936
+0.0713226
+0.0697295
+0.0681595
+0.0666246
+0.0651271
+0.0636699
+0.0621476
+0.0606131
+0.0591162
+0.0574358
+0.055643
+0.0538797
+0.0521488
+0.0504537
+0.048798
+0.047186
+0.0456222
+0.0441118
+0.0426605
+0.0412744
+0.0399605
+0.0387159
+0.037554
+0.0364867
+0.0355227
+0.0346704
+0.0339383
+0.0333343
+0.0328622
+0.0325225
+0.032328
+0.0322813
+0.0323831
+0.0326319
+0.0330084
+0.0328515
+0.0311764
+0.0295687
+0.0280402
+0.0266043
+0.025277
+0.0240762
+0.0230216
+0.0221248
+0.0213817
+0.0208435
+0.020526
+0.0204398
+0.0205877
+0.0209646
+0.0215587
+0.0223428
+0.0232767
+0.0234237
+0.0236058
+0.0239749
+0.0245347
+0.0252436
+0.0260745
+0.0270391
+0.0281265
+0.0293374
+0.0306572
+0.0320724
+0.0335711
+0.0351425
+0.0367771
+0.0384604
+0.0401925
+0.0419674
+0.0437763
+0.0456184
+0.0474902
+0.0493882
+0.0513095
+0.0532517
+0.0552124
+0.0571899
+0.0591823
+0.0611883
+0.0632066
+0.0773313
+0.0770311
+0.0767923
+0.0766154
+0.0765008
+0.0764488
+0.0764597
+0.0765318
+0.0766558
+0.0768421
+0.0770775
+0.0767365
+0.0764566
+0.0762388
+0.0760834
+0.0759909
+0.0759614
+0.074725
+0.0730915
+0.0714816
+0.0698928
+0.0683302
+0.0667989
+0.0653052
+0.0638518
+0.0623747
+0.0608459
+0.0593549
+0.0579084
+0.0562937
+0.0545514
+0.0528425
+0.0511704
+0.0495387
+0.0479515
+0.0464135
+0.0449298
+0.0435057
+0.0421475
+0.0408616
+0.0396454
+0.0385115
+0.0374715
+0.0365334
+0.0357053
+0.0349948
+0.0344094
+0.0339473
+0.0336185
+0.0334304
+0.0333853
+0.0334837
+0.0337245
+0.0340938
+0.0340664
+0.032454
+0.0309129
+0.0294541
+0.0280907
+0.026837
+0.0257091
+0.0247243
+0.0238719
+0.0231849
+0.0226894
+0.0223982
+0.0223192
+0.0224546
+0.0228008
+0.0233481
+0.0240831
+0.0240179
+0.0240611
+0.0242356
+0.0245952
+0.0251413
+0.0258335
+0.026646
+0.0276089
+0.0286895
+0.0298776
+0.0311745
+0.0325673
+0.0340442
+0.0355947
+0.0372095
+0.0388741
+0.0405885
+0.0423468
+0.0441439
+0.0459751
+0.0478365
+0.0497248
+0.0516369
+0.0535685
+0.0555181
+0.057485
+0.0594676
+0.0614643
+0.0634738
+0.0785627
+0.0782672
+0.0780321
+0.077858
+0.0777453
+0.0776942
+0.0776936
+0.0777541
+0.0778761
+0.0780594
+0.0783037
+0.0783521
+0.0780781
+0.0778648
+0.0777126
+0.077622
+0.0765977
+0.0749409
+0.0733121
+0.0717072
+0.0701235
+0.0685662
+0.0670403
+0.0655522
+0.0641043
+0.0626736
+0.0611564
+0.0596731
+0.0582345
+0.0568439
+0.0553018
+0.0536168
+0.0519696
+0.0503638
+0.0488035
+0.0472932
+0.0458379
+0.044443
+0.0431143
+0.0418581
+0.0406717
+0.0395672
+0.0385557
+0.0376447
+0.0368415
+0.0361534
+0.0355854
+0.0351356
+0.0348181
+0.0346365
+0.0345929
+0.0346879
+0.0349204
+0.035282
+0.0353753
+0.0338254
+0.0323497
+0.0309587
+0.0296645
+0.0284801
+0.02742
+0.0264905
+0.025687
+0.0250499
+0.024592
+0.0243236
+0.0242508
+0.0243756
+0.0246948
+0.0252011
+0.0249823
+0.0248312
+0.024873
+0.0250352
+0.0253835
+0.0259129
+0.0265913
+0.0273814
+0.0283192
+0.0293907
+0.0305656
+0.0318345
+0.0331996
+0.0346496
+0.0361741
+0.0377642
+0.0394053
+0.0410976
+0.042835
+0.0446124
+0.0464251
+0.0482692
+0.0501412
+0.0520381
+0.0539572
+0.0558963
+0.0578533
+0.0598266
+0.0618145
+0.0638151
+0.0798351
+0.0795444
+0.0793131
+0.0791418
+0.079022
+0.0789599
+0.0789586
+0.0790181
+0.0791382
+0.0793186
+0.079559
+0.0798587
+0.0797267
+0.0795178
+0.0793689
+0.0785479
+0.0768707
+0.0752199
+0.0735973
+0.0719988
+0.0704217
+0.0688711
+0.0673522
+0.0658711
+0.0644304
+0.0630309
+0.0615356
+0.0600696
+0.0586407
+0.05726
+0.055931
+0.0544682
+0.0528476
+0.0512692
+0.0497374
+0.0482563
+0.046831
+0.0454665
+0.0441686
+0.0429433
+0.0417877
+0.0407136
+0.0397312
+0.0388478
+0.03807
+0.0374045
+0.0368512
+0.0364171
+0.0361108
+0.0359357
+0.0358937
+0.0359853
+0.0362094
+0.0365629
+0.0367683
+0.0352796
+0.0338673
+0.0325413
+0.0313125
+0.0301929
+0.029195
+0.0283073
+0.0275568
+0.0269639
+0.0265391
+0.0262905
+0.0262232
+0.0263386
+0.0266343
+0.0262785
+0.0259507
+0.0258054
+0.0258212
+0.0259749
+0.0263108
+0.026822
+0.0274987
+0.0282678
+0.0291771
+0.0302182
+0.031378
+0.0326252
+0.0339608
+0.0353795
+0.0368739
+0.0384351
+0.0400495
+0.0417156
+0.0434284
+0.0451824
+0.0469732
+0.0487965
+0.050649
+0.0525276
+0.0544294
+0.0563523
+0.058294
+0.0602528
+0.0622271
+0.0642155
+0.0811468
+0.0808608
+0.0806265
+0.0804465
+0.0803258
+0.0802648
+0.0802635
+0.080322
+0.0804401
+0.0806177
+0.0808542
+0.0811491
+0.081401
+0.0811964
+0.08057
+0.078875
+0.0772049
+0.0755615
+0.0739464
+0.0723555
+0.0707864
+0.0692441
+0.0677335
+0.0662609
+0.0648289
+0.0634381
+0.0619827
+0.0605293
+0.0591115
+0.0577421
+0.0564245
+0.0551624
+0.0538005
+0.052251
+0.0507487
+0.0492981
+0.0479037
+0.0465707
+0.0453045
+0.0441107
+0.0429865
+0.0419431
+0.0409902
+0.0401345
+0.0393821
+0.038739
+0.0382008
+0.0377822
+0.037487
+0.0373184
+0.037278
+0.0373662
+0.0375821
+0.0379235
+0.0382361
+0.0368068
+0.0354554
+0.034191
+0.0330237
+0.0319641
+0.0310158
+0.0301738
+0.0294709
+0.0289172
+0.0285215
+0.0282904
+0.0282278
+0.0283351
+0.0278605
+0.0273767
+0.0270623
+0.0269092
+0.0269119
+0.0270598
+0.0273824
+0.0278739
+0.0285257
+0.0292915
+0.03017
+0.031178
+0.0323033
+0.0335161
+0.0348212
+0.0362118
+0.0376732
+0.0392026
+0.0407923
+0.0424356
+0.0441226
+0.0458501
+0.0476158
+0.0494154
+0.0512455
+0.053103
+0.0549849
+0.056889
+0.0588131
+0.0607552
+0.0627136
+0.064687
+0.0824855
+0.0821985
+0.0819634
+0.0817863
+0.0816676
+0.0816076
+0.0816063
+0.0816639
+0.0817801
+0.0819547
+0.0821873
+0.0824775
+0.0828247
+0.082653
+0.0809453
+0.0792613
+0.0775996
+0.0759647
+0.0743583
+0.0727765
+0.0712166
+0.0696839
+0.0681831
+0.0667204
+0.0652985
+0.0639178
+0.0625034
+0.0610623
+0.0596572
+0.0583006
+0.0569959
+0.0557468
+0.0545571
+0.0533047
+0.051833
+0.0504135
+0.0490509
+0.0477499
+0.0465158
+0.0453539
+0.0442613
+0.0432486
+0.0423252
+0.041497
+0.0407698
+0.0401447
+0.0396256
+0.0392222
+0.038938
+0.0387757
+0.0387367
+0.0388216
+0.0390295
+0.0393583
+0.0397704
+0.0383983
+0.0371049
+0.0358987
+0.0347887
+0.0337845
+0.0328745
+0.0320813
+0.0314211
+0.0309024
+0.0305324
+0.0303166
+0.0302583
+0.0296503
+0.0290445
+0.0285809
+0.0282798
+0.0281269
+0.0281305
+0.0282731
+0.028582
+0.0290532
+0.0296714
+0.030412
+0.031285
+0.0322582
+0.0333471
+0.0345232
+0.0357916
+0.0371459
+0.0385772
+0.0400752
+0.0416317
+0.0432431
+0.0449036
+0.0466079
+0.0483492
+0.0501225
+0.0519277
+0.0537616
+0.0556213
+0.0575043
+0.0594084
+0.0613316
+0.0632723
+0.0652288
+0.0838523
+0.0835677
+0.0833365
+0.0831623
+0.0830455
+0.0829865
+0.0829853
+0.0830419
+0.0831561
+0.0833279
+0.0835567
+0.0838422
+0.0841837
+0.0830684
+0.0813694
+0.0796944
+0.078045
+0.076422
+0.0748255
+0.0732597
+0.0717113
+0.0701894
+0.0686996
+0.0672482
+0.0658376
+0.0644685
+0.0630836
+0.0616686
+0.0602776
+0.0589353
+0.057645
+0.0564102
+0.0552348
+0.0541226
+0.0529857
+0.0515979
+0.0502674
+0.0489988
+0.0477969
+0.0466669
+0.0456058
+0.0446236
+0.0437292
+0.0429281
+0.0422256
+0.0416183
+0.0411178
+0.0407292
+0.0404555
+0.0402993
+0.0402619
+0.0403436
+0.0405436
+0.0408603
+0.0412891
+0.0400465
+0.038808
+0.0376564
+0.0365998
+0.0356399
+0.0347719
+0.0340229
+0.0334011
+0.0329136
+0.0325665
+0.0323643
+0.0316384
+0.0309315
+0.0303388
+0.0298953
+0.0296075
+0.0294575
+0.0294611
+0.0295959
+0.0298912
+0.0303421
+0.03093
+0.0316411
+0.0324847
+0.0334345
+0.0344863
+0.0356367
+0.0368668
+0.038183
+0.0395768
+0.0410403
+0.0425662
+0.0441446
+0.0457724
+0.0474455
+0.0491594
+0.0509098
+0.0526922
+0.0545003
+0.0563357
+0.0581956
+0.0600778
+0.0619802
+0.0639012
+0.065839
+0.0852535
+0.0849713
+0.0847439
+0.0845726
+0.0844578
+0.0843998
+0.0843986
+0.0844542
+0.0845666
+0.0847354
+0.0849605
+0.0852412
+0.0852512
+0.0835392
+0.08185
+0.080185
+0.0785459
+0.0769335
+0.0753479
+0.0737932
+0.0722689
+0.0707591
+0.0692816
+0.0678426
+0.0664447
+0.0650882
+0.0637312
+0.0623392
+0.0609705
+0.0596438
+0.0583691
+0.05715
+0.0559901
+0.0548932
+0.053835
+0.0528237
+0.0515484
+0.050312
+0.0491423
+0.048044
+0.0470139
+0.0460618
+0.0451959
+0.0444212
+0.0437398
+0.0431528
+0.0426703
+0.042296
+0.0420326
+0.0418822
+0.0418462
+0.0419248
+0.0421173
+0.0424222
+0.0428372
+0.0417445
+0.040558
+0.0394574
+0.0384503
+0.0375254
+0.0367019
+0.0359932
+0.035406
+0.0349465
+0.0346197
+0.033794
+0.0329906
+0.0322989
+0.0317318
+0.0313079
+0.0310333
+0.0308863
+0.030884
+0.0310127
+0.0312945
+0.0317255
+0.0322882
+0.0329701
+0.0337805
+0.0347006
+0.0357151
+0.0368321
+0.0380379
+0.0393149
+0.04067
+0.0420954
+0.0435845
+0.0451302
+0.0467237
+0.0483639
+0.0500463
+0.0517667
+0.0535216
+0.0553075
+0.0571216
+0.0589602
+0.0608187
+0.0626987
+0.0645983
+0.0665158
+0.0866861
+0.0864076
+0.086184
+0.0860156
+0.0859027
+0.0858457
+0.0858445
+0.0858992
+0.0860097
+0.0861757
+0.086397
+0.0866731
+0.085766
+0.0840645
+0.082386
+0.0807321
+0.0791043
+0.0775036
+0.0759298
+0.0743873
+0.072878
+0.0713916
+0.0699274
+0.0685019
+0.0671178
+0.0657739
+0.0644468
+0.0630705
+0.0617334
+0.0604234
+0.0591655
+0.0579632
+0.0568199
+0.0557393
+0.0546963
+0.0537013
+0.0527784
+0.0516848
+0.0505468
+0.0494797
+0.0484802
+0.0475574
+0.0467192
+0.0459702
+0.0453085
+0.044742
+0.0442769
+0.0439162
+0.0436625
+0.0435178
+0.0434832
+0.0435588
+0.0437441
+0.0440378
+0.0444377
+0.0434867
+0.0423489
+0.0412962
+0.0403289
+0.0394424
+0.0386598
+0.0379875
+0.0374316
+0.0369973
+0.0360851
+0.0351992
+0.0344266
+0.0337532
+0.0332109
+0.0328061
+0.0325441
+0.0324003
+0.0323927
+0.0325154
+0.0327843
+0.033196
+0.0337342
+0.0343874
+0.0351652
+0.0360555
+0.0370329
+0.0381112
+0.0392823
+0.0405337
+0.0418493
+0.0432359
+0.044687
+0.0461958
+0.0477537
+0.0493598
+0.0510093
+0.0526983
+0.0544231
+0.0561804
+0.0579671
+0.0597808
+0.061619
+0.0634795
+0.0653606
+0.0672572
+0.0881489
+0.0878751
+0.0876552
+0.0874897
+0.0873787
+0.0873226
+0.0873214
+0.0873752
+0.0874838
+0.0876471
+0.0878646
+0.0880456
+0.0863334
+0.0846432
+0.0829765
+0.0813346
+0.0797174
+0.0781268
+0.0765658
+0.0750364
+0.0735404
+0.0720799
+0.0706352
+0.0692244
+0.067855
+0.0665118
+0.0652051
+0.0638687
+0.0625565
+0.0612703
+0.0600302
+0.0588455
+0.0577197
+0.0566563
+0.0556307
+0.0546526
+0.0537461
+0.0529148
+0.0520058
+0.0509692
+0.0499995
+0.0491053
+0.0482939
+0.0475683
+0.0469269
+0.0463803
+0.0459317
+0.0455841
+0.0453398
+0.0452005
+0.0451671
+0.0452399
+0.0454184
+0.0457013
+0.0460867
+0.0452678
+0.0441759
+0.0431678
+0.0422322
+0.0413865
+0.0406413
+0.0400024
+0.0393429
+0.0384653
+0.0375132
+0.0366625
+0.0359233
+0.0352836
+0.0347652
+0.0343787
+0.0341258
+0.0339881
+0.0339758
+0.0340927
+0.0343493
+0.0347424
+0.035257
+0.0358825
+0.0366286
+0.037488
+0.0384304
+0.0394706
+0.0406025
+0.0418185
+0.0431078
+0.0444552
+0.0458676
+0.0473389
+0.0488604
+0.0504312
+0.0520468
+0.0537032
+0.0553967
+0.057124
+0.0588821
+0.0606685
+0.0624805
+0.0643162
+0.0661734
+0.0680505
+0.0896414
+0.0893722
+0.089156
+0.0889932
+0.0888842
+0.088829
+0.0888278
+0.0888807
+0.0889875
+0.089148
+0.0893619
+0.0886525
+0.0869522
+0.0852739
+0.0836169
+0.0819849
+0.0803795
+0.0788022
+0.0772549
+0.0757394
+0.0742575
+0.0728115
+0.0714033
+0.070008
+0.0686482
+0.0673128
+0.066022
+0.0647312
+0.0634368
+0.0621774
+0.0609557
+0.0597894
+0.0586817
+0.057636
+0.0566344
+0.055674
+0.0547844
+0.0539628
+0.0531742
+0.0524448
+0.0515671
+0.0507005
+0.0499149
+0.049209
+0.0485893
+0.0480615
+0.0476288
+0.0472937
+0.0470583
+0.046924
+0.0468919
+0.046962
+0.047134
+0.0474067
+0.0477783
+0.0470835
+0.0460347
+0.0450613
+0.044106
+0.0431469
+0.0422793
+0.0415092
+0.0408423
+0.039928
+0.0390115
+0.0381942
+0.0374853
+0.0368807
+0.036385
+0.036016
+0.0357713
+0.0356399
+0.0356232
+0.0357348
+0.0359797
+0.0363552
+0.0368473
+0.0374462
+0.0381617
+0.0389873
+0.0398993
+0.0409022
+0.0419955
+0.0431723
+0.0444261
+0.0457469
+0.0471206
+0.0485539
+0.0500385
+0.0515734
+0.0531543
+0.0547772
+0.0564385
+0.0581349
+0.0598634
+0.0616213
+0.0634061
+0.0652157
+0.067048
+0.0688699
+0.0911622
+0.0908974
+0.0906849
+0.0905248
+0.0904176
+0.0903634
+0.0903623
+0.0904142
+0.0905192
+0.090677
+0.0908873
+0.0893071
+0.0876168
+0.0859491
+0.0843053
+0.0826869
+0.0810954
+0.0795323
+0.0779995
+0.0764987
+0.0750319
+0.073601
+0.0722083
+0.0708429
+0.0694929
+0.0681748
+0.0669006
+0.0656556
+0.0643797
+0.0631475
+0.061945
+0.0607976
+0.0597086
+0.0586812
+0.0577038
+0.0567615
+0.0558872
+0.0550701
+0.0542958
+0.0535817
+0.0529486
+0.0523314
+0.0515633
+0.050878
+0.0502789
+0.0497691
+0.0493513
+0.049028
+0.0488009
+0.0486715
+0.0486405
+0.0487081
+0.0488739
+0.0491369
+0.0494956
+0.0487299
+0.0476269
+0.046554
+0.045554
+0.044626
+0.0437877
+0.0430447
+0.0424019
+0.0414548
+0.0405729
+0.0397877
+0.0391076
+0.0385297
+0.0380555
+0.0377028
+0.0374726
+0.0373472
+0.0373266
+0.0374331
+0.0376669
+0.0380257
+0.0384965
+0.0390702
+0.0397564
+0.0405496
+0.0414297
+0.0423964
+0.0434521
+0.0445905
+0.0458055
+0.0470903
+0.0484293
+0.0498285
+0.0512824
+0.0527819
+0.0543277
+0.0559165
+0.0575449
+0.0592096
+0.0609076
+0.0626362
+0.0643929
+0.0661755
+0.0679812
+0.069713
+0.0927097
+0.0924494
+0.0922404
+0.0920831
+0.0919777
+0.0919244
+0.0919233
+0.0919744
+0.0920776
+0.0922327
+0.091704
+0.0900053
+0.0883284
+0.0866743
+0.0850446
+0.0834405
+0.0818636
+0.0803155
+0.078798
+0.0773127
+0.0758616
+0.0744466
+0.07307
+0.0717283
+0.0703954
+0.0690956
+0.0678387
+0.0666301
+0.0653825
+0.064176
+0.0629948
+0.061867
+0.0607971
+0.0597812
+0.0588272
+0.0579066
+0.0570414
+0.056241
+0.0554758
+0.0547771
+0.054158
+0.0536213
+0.0531686
+0.0525854
+0.0520059
+0.0515132
+0.0511097
+0.0507975
+0.0505784
+0.0504536
+0.0504237
+0.0504889
+0.0506489
+0.0509027
+0.0512351
+0.0501037
+0.049044
+0.0480136
+0.0470571
+0.0461618
+0.0453519
+0.0446349
+0.0439807
+0.0430391
+0.0421903
+0.0414357
+0.0407831
+0.0402293
+0.0397753
+0.039438
+0.0392204
+0.0390994
+0.0390785
+0.0391803
+0.0394038
+0.0397469
+0.0401975
+0.0407472
+0.0414057
+0.0421679
+0.0430149
+0.0439467
+0.044966
+0.0460671
+0.0472441
+0.0484908
+0.0497921
+0.051154
+0.052572
+0.0540415
+0.0555585
+0.0571134
+0.0587086
+0.0603412
+0.0620082
+0.0637069
+0.0654349
+0.0671898
+0.0689049
+0.070614
+0.0942828
+0.0940268
+0.0938214
+0.0936667
+0.0935631
+0.0935107
+0.0935096
+0.0935598
+0.0936612
+0.0938137
+0.0924345
+0.0907495
+0.0890866
+0.0874469
+0.0858318
+0.0842427
+0.0826811
+0.0811486
+0.0796469
+0.0781778
+0.076743
+0.0753447
+0.0739847
+0.0726654
+0.0713537
+0.0700727
+0.0688337
+0.0676429
+0.0664423
+0.0652555
+0.0641024
+0.0629944
+0.0619377
+0.0609388
+0.0600032
+0.0591009
+0.058255
+0.0574715
+0.0567139
+0.0560306
+0.0554256
+0.0549013
+0.0544517
+0.0540785
+0.0537667
+0.0532903
+0.0529003
+0.0525988
+0.0523872
+0.0522667
+0.0522378
+0.0523008
+0.0524553
+0.0527004
+0.0526287
+0.0515276
+0.0504895
+0.0494849
+0.0485556
+0.0477055
+0.0469424
+0.0462469
+0.0455825
+0.0446746
+0.0438574
+0.0431321
+0.0425055
+0.0419744
+0.0415395
+0.0412167
+0.0410085
+0.0408891
+0.0408691
+0.0409664
+0.0411802
+0.0415086
+0.041938
+0.0424652
+0.0430974
+0.0438302
+0.0446513
+0.0455496
+0.0465339
+0.0475986
+0.0487387
+0.0499481
+0.0512124
+0.0525375
+0.0539191
+0.0553529
+0.056835
+0.0583617
+0.0599252
+0.0615255
+0.0631612
+0.0648298
+0.0665286
+0.0682252
+0.069885
+0.0715707
+0.0958801
+0.0956284
+0.0954264
+0.0952743
+0.0951724
+0.0951209
+0.0951199
+0.0951692
+0.0952689
+0.0948971
+0.0932089
+0.0915382
+0.0898899
+0.0882651
+0.0866653
+0.0850917
+0.083546
+0.0820297
+0.0805444
+0.0790919
+0.0776741
+0.0762928
+0.0749501
+0.0736481
+0.0723656
+0.071104
+0.0698832
+0.0687107
+0.0675566
+0.0663897
+0.0652648
+0.0641714
+0.0631318
+0.062152
+0.061235
+0.0603511
+0.0595246
+0.0587417
+0.0579996
+0.0573316
+0.0567404
+0.0562284
+0.0557895
+0.0554253
+0.0551458
+0.0549523
+0.0547201
+0.0544286
+0.0542242
+0.0541078
+0.0540799
+0.0541407
+0.0542899
+0.0545268
+0.0540658
+0.0529946
+0.0519814
+0.051008
+0.050105
+0.0492817
+0.0485422
+0.0478342
+0.0472174
+0.0463559
+0.0455689
+0.0448712
+0.0442693
+0.0437596
+0.0433427
+0.0430333
+0.0428307
+0.0427075
+0.0426883
+0.0427815
+0.0429863
+0.043301
+0.0437179
+0.0442239
+0.0448314
+0.0455362
+0.0463334
+0.0471998
+0.0481503
+0.0491801
+0.0502843
+0.0514574
+0.0526855
+0.0539745
+0.0553202
+0.0567186
+0.0581659
+0.0596586
+0.0611933
+0.0627639
+0.0643682
+0.0660062
+0.0676737
+0.0692783
+0.0709143
+0.0725795
+0.0975004
+0.097253
+0.0970543
+0.0969048
+0.0968047
+0.096754
+0.0967529
+0.0968015
+0.0968995
+0.0957018
+0.094028
+0.0923721
+0.0907389
+0.0891297
+0.0875456
+0.0859882
+0.0844589
+0.0829593
+0.0814909
+0.0800556
+0.0786551
+0.0772914
+0.0759663
+0.074682
+0.0734284
+0.0721805
+0.0709783
+0.0698241
+0.0687204
+0.0675736
+0.0664676
+0.0653981
+0.0643783
+0.0634178
+0.0625193
+0.0616538
+0.0608465
+0.0600638
+0.0593383
+0.0586855
+0.0581081
+0.0576083
+0.05718
+0.0568247
+0.0565521
+0.0563634
+0.0562585
+0.0562146
+0.0560866
+0.055974
+0.0559471
+0.0560059
+0.0561501
+0.0563792
+0.0555522
+0.0545102
+0.0535169
+0.0525777
+0.0517009
+0.0509034
+0.0501526
+0.0494677
+0.0488715
+0.0480783
+0.04732
+0.0466485
+0.0460698
+0.0455802
+0.0451801
+0.0448834
+0.044679
+0.0445594
+0.044541
+0.0446303
+0.0448266
+0.0451286
+0.0455333
+0.0460197
+0.0466038
+0.0472822
+0.048051
+0.0488925
+0.0498107
+0.0508069
+0.0518764
+0.0530143
+0.0542072
+0.0554608
+0.0567713
+0.0581348
+0.0595477
+0.0610065
+0.0625082
+0.0640495
+0.0656262
+0.0672335
+0.068805
+0.0703838
+0.0719947
+0.0736355
+0.0991427
+0.0988994
+0.098704
+0.098557
+0.0984585
+0.0984088
+0.0984077
+0.0984554
+0.0982275
+0.0965494
+0.0948906
+0.0932501
+0.0916325
+0.0900392
+0.0884715
+0.0869307
+0.0854182
+0.0839357
+0.0824848
+0.0810671
+0.0796844
+0.0783385
+0.0770315
+0.0757652
+0.0745299
+0.0733007
+0.0721172
+0.0709815
+0.0698961
+0.0687959
+0.06771
+0.0666742
+0.0656742
+0.0647329
+0.0638529
+0.0630058
+0.062214
+0.0614357
+0.0607265
+0.0600889
+0.0595251
+0.0590372
+0.0586193
+0.0582728
+0.0580071
+0.0578231
+0.0577209
+0.0576866
+0.0577003
+0.0577679
+0.057837
+0.0578895
+0.0579811
+0.0581236
+0.05705
+0.0560416
+0.0550966
+0.0541882
+0.053339
+0.0525381
+0.0518056
+0.0511428
+0.0505664
+0.0498375
+0.0491063
+0.0484596
+0.0479028
+0.0474322
+0.0470478
+0.0467604
+0.046557
+0.0464408
+0.0464232
+0.0465089
+0.0466973
+0.0469872
+0.0473767
+0.0478485
+0.0484104
+0.0490639
+0.0498052
+0.0506234
+0.0515108
+0.0524746
+0.0535109
+0.0546147
+0.0557734
+0.0569925
+0.0582686
+0.0595978
+0.0609769
+0.0624023
+0.0638711
+0.0653804
+0.0669273
+0.0684687
+0.0699866
+0.0715394
+0.0731248
+0.0747408
+0.100806
+0.100567
+0.100374
+0.10023
+0.100133
+0.100084
+0.100083
+0.10013
+0.099102
+0.097439
+0.0957956
+0.0941708
+0.0925694
+0.0909925
+0.0894414
+0.0879176
+0.0864224
+0.0849575
+0.0835243
+0.0821245
+0.0807599
+0.0794323
+0.0781435
+0.0768956
+0.0756732
+0.0744685
+0.0733038
+0.0721868
+0.0711198
+0.0700653
+0.0689995
+0.0679852
+0.0670166
+0.0660945
+0.0652329
+0.0644039
+0.0636149
+0.0628539
+0.0621609
+0.0615382
+0.0609878
+0.0605117
+0.0601041
+0.0597662
+0.0595071
+0.0593278
+0.0592282
+0.0591948
+0.0592108
+0.0592767
+0.0593684
+0.0593769
+0.0594662
+0.0596359
+0.0585904
+0.057609
+0.0566952
+0.0558357
+0.0549939
+0.0542069
+0.0534946
+0.052853
+0.0522954
+0.0516297
+0.0509243
+0.0503009
+0.0497647
+0.0493118
+0.0489422
+0.0486567
+0.0484613
+0.0483482
+0.0483313
+0.0484136
+0.0485947
+0.0488733
+0.0492479
+0.0497065
+0.0502477
+0.0508775
+0.0515928
+0.0523852
+0.0532432
+0.0541762
+0.0551806
+0.0562523
+0.0573805
+0.0585662
+0.0598087
+0.0611044
+0.0624502
+0.0638428
+0.0652792
+0.0667566
+0.0682699
+0.0697233
+0.0712145
+0.072741
+0.0743008
+0.0758918
+0.102489
+0.102253
+0.102065
+0.101922
+0.101827
+0.101779
+0.101778
+0.101685
+0.100017
+0.0983693
+0.0967417
+0.0951331
+0.0935481
+0.091988
+0.090454
+0.0889476
+0.08747
+0.0860229
+0.0846077
+0.0832262
+0.08188
+0.0805708
+0.0793006
+0.0780663
+0.0768554
+0.0756817
+0.074536
+0.0734378
+0.0723892
+0.0713795
+0.0703337
+0.0693389
+0.0683998
+0.0674997
+0.0666563
+0.0658452
+0.0650594
+0.0643156
+0.0636385
+0.0630303
+0.062493
+0.0620285
+0.061631
+0.0613015
+0.0610489
+0.0608742
+0.0607771
+0.0607445
+0.0607628
+0.060827
+0.0608985
+0.0609068
+0.0609938
+0.0611593
+0.0601712
+0.0592159
+0.0583273
+0.0575085
+0.0566751
+0.0559117
+0.055216
+0.0545946
+0.054055
+0.0534516
+0.0527705
+0.0521692
+0.0516524
+0.0512163
+0.0508585
+0.0505768
+0.0503889
+0.0502788
+0.0502625
+0.0503417
+0.0505158
+0.0507839
+0.0511446
+0.0515906
+0.0521122
+0.0527198
+0.0534104
+0.0541745
+0.0550046
+0.0559083
+0.056882
+0.0579223
+0.0590251
+0.0601785
+0.0613883
+0.0626514
+0.0639646
+0.0653249
+0.0667294
+0.0681754
+0.0695913
+0.0710176
+0.0724822
+0.0739826
+0.0755167
+0.0770826
+0.104191
+0.103959
+0.103773
+0.103634
+0.10354
+0.103493
+0.103492
+0.102623
+0.100971
+0.0993392
+0.0977278
+0.0961357
+0.0945675
+0.0930245
+0.0915079
+0.090019
+0.0885594
+0.0871303
+0.0857335
+0.0843704
+0.0830427
+0.0817521
+0.0805006
+0.0792732
+0.078081
+0.0769328
+0.0758114
+0.074732
+0.0737018
+0.072723
+0.0717099
+0.0707345
+0.0698142
+0.0689459
+0.0681204
+0.067327
+0.0665376
+0.0658105
+0.0651489
+0.064555
+0.0640305
+0.0635772
+0.0631967
+0.0628756
+0.0626294
+0.0624591
+0.0623644
+0.0623327
+0.0623532
+0.0624157
+0.0624679
+0.062476
+0.0625609
+0.0627222
+0.0617892
+0.0608593
+0.0599951
+0.0591969
+0.05839
+0.0576487
+0.0569696
+0.0563676
+0.0558451
+0.0553003
+0.0546422
+0.0540618
+0.0535632
+0.0531427
+0.0527895
+0.0525181
+0.0523371
+0.0522299
+0.0522142
+0.0522904
+0.0524581
+0.0527163
+0.0530638
+0.0534979
+0.0540013
+0.0545879
+0.0552551
+0.0559924
+0.0567959
+0.0576715
+0.058616
+0.059626
+0.0606983
+0.0618263
+0.0630045
+0.0642359
+0.0655173
+0.066846
+0.0682192
+0.069597
+0.0709556
+0.0723551
+0.0737931
+0.0752674
+0.0767759
+0.0783166
+0.0900448
+0.0881174
+0.0862027
+0.0843014
+0.0824144
+0.0805429
+0.0786878
+0.0768504
+0.0750319
+0.0732339
+0.0714544
+0.0696979
+0.0679667
+0.0662626
+0.064588
+0.0629449
+0.0613362
+0.0597644
+0.0582327
+0.0567442
+0.0552999
+0.0538964
+0.0525466
+0.051255
+0.0500261
+0.0488645
+0.0477751
+0.046763
+0.0458334
+0.0449914
+0.0442418
+0.0435688
+0.0429965
+0.0425295
+0.0421712
+0.0419245
+0.0417913
+0.0417727
+0.0418689
+0.0420791
+0.0424015
+0.0428337
+0.0433724
+0.0440137
+0.0447531
+0.0455859
+0.0465042
+0.0474891
+0.048553
+0.0496906
+0.0508972
+0.0521679
+0.0534982
+0.0548837
+0.0563203
+0.0578043
+0.059332
+0.0609003
+0.062506
+0.0641463
+0.0658187
+0.0675207
+0.0692502
+0.0710052
+0.0727838
+0.0745843
+0.0764048
+0.0782419
+0.0800635
+0.0815954
+0.083148
+0.0847288
+0.0863363
+0.0879689
+0.0896253
+0.0913043
+0.0929971
+0.094649
+0.0963223
+0.0980105
+0.0986841
+0.0989945
+0.0993018
+0.0996563
+0.100057
+0.100505
+0.100998
+0.101531
+0.102104
+0.102718
+0.103368
+0.104052
+0.104777
+0.105542
+0.106347
+0.107191
+0.108038
+0.108913
+0.109825
+0.110773
+0.0891141
+0.0871661
+0.08523
+0.0833065
+0.0813965
+0.079501
+0.077621
+0.0757577
+0.0739124
+0.0720864
+0.0702813
+0.0684972
+0.0667349
+0.0649985
+0.0632904
+0.0616128
+0.0599683
+0.0583597
+0.0567901
+0.0552627
+0.0537813
+0.0523462
+0.0509554
+0.0496224
+0.048352
+0.0471491
+0.0460192
+0.0449676
+0.0440001
+0.0431222
+0.0423396
+0.0416537
+0.0410547
+0.0405653
+0.0401895
+0.0399305
+0.0397906
+0.0397711
+0.0398721
+0.0400928
+0.0404311
+0.0408842
+0.0414482
+0.0421188
+0.0428909
+0.0437591
+0.0447091
+0.0457352
+0.0468403
+0.0480186
+0.0492661
+0.0505778
+0.0519488
+0.0533746
+0.0548507
+0.0563734
+0.0579389
+0.0595439
+0.0611852
+0.06286
+0.0645657
+0.0662999
+0.0680604
+0.0698453
+0.0716527
+0.0734786
+0.0753234
+0.0771863
+0.0787473
+0.0802952
+0.0818725
+0.0834775
+0.0851085
+0.0867643
+0.0884433
+0.0901443
+0.0917969
+0.0934675
+0.0951555
+0.0968637
+0.0973646
+0.0976849
+0.0980531
+0.0984626
+0.0988687
+0.0993214
+0.0998202
+0.100364
+0.100953
+0.101576
+0.102243
+0.102946
+0.103687
+0.10446
+0.105273
+0.106126
+0.106973
+0.107857
+0.108778
+0.109732
+0.0882279
+0.08626
+0.0843031
+0.0823579
+0.0804254
+0.0785064
+0.076602
+0.0747133
+0.0728416
+0.070988
+0.0691542
+0.0673418
+0.0655524
+0.0637846
+0.062043
+0.0603308
+0.0586503
+0.0570046
+0.0553966
+0.0538297
+0.0523076
+0.0508345
+0.0494101
+0.0480342
+0.0467206
+0.0454746
+0.044302
+0.0432087
+0.0422008
+0.0412847
+0.0404666
+0.0397525
+0.0391391
+0.0386254
+0.0382306
+0.0379582
+0.0378111
+0.0377905
+0.0378968
+0.0381289
+0.0384845
+0.0389602
+0.0395517
+0.0402539
+0.041061
+0.0419668
+0.0429468
+0.044014
+0.0451624
+0.0463856
+0.0476759
+0.0490302
+0.0504432
+0.0519103
+0.053427
+0.0549891
+0.0565929
+0.058235
+0.0599121
+0.0616216
+0.0633606
+0.0651269
+0.0669183
+0.0687328
+0.0705671
+0.0724198
+0.0742909
+0.0759188
+0.0774613
+0.0790344
+0.0806363
+0.0822654
+0.0839201
+0.0855988
+0.0873002
+0.0889612
+0.0906284
+0.0923163
+0.0940249
+0.0957532
+0.0960769
+0.0964015
+0.0967746
+0.0971956
+0.0976592
+0.0981648
+0.0986772
+0.0992276
+0.099823
+0.100463
+0.10114
+0.101856
+0.102606
+0.103396
+0.104227
+0.105089
+0.105943
+0.106836
+0.107761
+0.108719
+0.0873877
+0.0854004
+0.0834234
+0.0814572
+0.0795028
+0.077561
+0.0756328
+0.0737193
+0.0718216
+0.0699411
+0.0680791
+0.0662372
+0.0644171
+0.0626208
+0.060849
+0.0591022
+0.0573858
+0.0557027
+0.0540559
+0.052449
+0.0508857
+0.0493701
+0.0479068
+0.046495
+0.0451366
+0.0438456
+0.0426282
+0.0414908
+0.0404402
+0.0394833
+0.038627
+0.0378783
+0.0372435
+0.0367138
+0.0362982
+0.0360112
+0.0358561
+0.0358344
+0.0359465
+0.0361911
+0.0365655
+0.0370659
+0.0376871
+0.0384234
+0.0392682
+0.0402037
+0.0412256
+0.0423362
+0.0435289
+0.0447967
+0.0461315
+0.0475298
+0.0489861
+0.0504956
+0.0520535
+0.0536556
+0.0552981
+0.0569775
+0.0586906
+0.0604346
+0.0622068
+0.064005
+0.0658269
+0.0676707
+0.069533
+0.0714125
+0.0731122
+0.0746483
+0.0762165
+0.0778148
+0.0794413
+0.0810944
+0.0827725
+0.084474
+0.0861371
+0.0878067
+0.0894942
+0.0912031
+0.0929323
+0.0945432
+0.0948224
+0.0951512
+0.0955292
+0.0959557
+0.0964221
+0.0969341
+0.0974927
+0.098097
+0.0987287
+0.0993754
+0.100066
+0.100796
+0.101557
+0.102358
+0.103197
+0.104075
+0.104949
+0.105844
+0.106774
+0.107741
+0.08658
+0.0845848
+0.0825924
+0.080606
+0.0786304
+0.0766665
+0.0747153
+0.0727776
+0.0708547
+0.0689478
+0.0670582
+0.0651875
+0.0633373
+0.0615095
+0.0597061
+0.0579294
+0.0561782
+0.0544578
+0.0527722
+0.051125
+0.0495199
+0.0479611
+0.0464534
+0.0450019
+0.0436052
+0.0422675
+0.0410032
+0.0398194
+0.0387235
+0.037723
+0.0368259
+0.0360397
+0.0353719
+0.0348294
+0.0343967
+0.0340938
+0.0339299
+0.033907
+0.0340254
+0.0342837
+0.0346788
+0.0352059
+0.0358594
+0.0366324
+0.0375159
+0.0384845
+0.0395508
+0.0407072
+0.0419462
+0.0432605
+0.0446412
+0.0460847
+0.0475853
+0.0491378
+0.0507374
+0.0523798
+0.0540611
+0.0557777
+0.0575266
+0.0593048
+0.0611098
+0.0629393
+0.0647912
+0.0666637
+0.0685533
+0.07033
+0.0718589
+0.0734213
+0.0750151
+0.0766385
+0.0782894
+0.0799663
+0.0816676
+0.0833306
+0.0849995
+0.086691
+0.0883998
+0.0901295
+0.0918788
+0.0933195
+0.0936023
+0.0939354
+0.0943183
+0.0947486
+0.0952193
+0.0957377
+0.0963033
+0.096915
+0.0975721
+0.0982737
+0.0990187
+0.0997623
+0.100538
+0.101348
+0.102198
+0.103088
+0.103984
+0.104885
+0.105783
+0.106698
+0.0858146
+0.0838011
+0.0817967
+0.0798021
+0.0778099
+0.0758248
+0.0738513
+0.0718904
+0.0699431
+0.0680106
+0.0660943
+0.0641955
+0.0623158
+0.0604571
+0.0586213
+0.0568107
+0.0550278
+0.0532739
+0.0515497
+0.049862
+0.0482149
+0.0466125
+0.0450597
+0.0435618
+0.0421245
+0.040746
+0.039433
+0.0382006
+0.0370568
+0.03601
+0.0350691
+0.0342426
+0.0335391
+0.0329664
+0.0325314
+0.0322112
+0.0320377
+0.0320135
+0.0321389
+0.0324122
+0.0328298
+0.0333861
+0.0340745
+0.0348871
+0.0358017
+0.0368154
+0.0379287
+0.039133
+0.0404203
+0.0417826
+0.0432106
+0.0447003
+0.0462459
+0.0478419
+0.0494834
+0.051166
+0.0528859
+0.0546395
+0.0564236
+0.0582355
+0.0600727
+0.0619328
+0.063814
+0.0657143
+0.0675748
+0.0690957
+0.0706513
+0.0722398
+0.0738592
+0.0755074
+0.0771825
+0.078883
+0.0805455
+0.0822126
+0.0839037
+0.0856168
+0.0873467
+0.0890968
+0.090866
+0.092119
+0.0924155
+0.0927555
+0.0931431
+0.0935756
+0.0940521
+0.094577
+0.0951494
+0.0957685
+0.0964335
+0.0971432
+0.0978969
+0.0986935
+0.0995319
+0.10037
+0.101234
+0.102031
+0.102849
+0.103706
+0.104594
+0.10552
+0.0850986
+0.0830678
+0.0810452
+0.0790317
+0.0770278
+0.0750338
+0.0730429
+0.0710596
+0.0690889
+0.0671319
+0.0651897
+0.0632637
+0.0613555
+0.0594668
+0.0575995
+0.0557557
+0.0539379
+0.0521487
+0.0503913
+0.048665
+0.0469759
+0.0453298
+0.0437314
+0.0421864
+0.0407006
+0.0392808
+0.0379243
+0.0366412
+0.0354471
+0.0343514
+0.0333637
+0.0324939
+0.0317516
+0.0311461
+0.0306853
+0.0303596
+0.0301754
+0.0301496
+0.0302828
+0.0305727
+0.0310151
+0.0316034
+0.0323298
+0.0331851
+0.0341421
+0.0352036
+0.0363662
+0.0376206
+0.0389579
+0.0403696
+0.0418458
+0.0433824
+0.0449733
+0.0466129
+0.0482962
+0.0500188
+0.0517768
+0.0535667
+0.0553854
+0.0572302
+0.0590986
+0.0609884
+0.0628978
+0.064825
+0.0663615
+0.0679096
+0.0694918
+0.0711062
+0.0727508
+0.0744236
+0.0761226
+0.0777841
+0.0794487
+0.0811383
+0.0828513
+0.0845858
+0.0863363
+0.0881064
+0.0898952
+0.0909474
+0.0912478
+0.0915996
+0.0919986
+0.0924396
+0.092922
+0.0934532
+0.0940325
+0.0946589
+0.0953315
+0.0960495
+0.0968117
+0.0976171
+0.0984646
+0.0993006
+0.10006
+0.100846
+0.101673
+0.10254
+0.103434
+0.10436
+0.0844334
+0.0823862
+0.0803465
+0.078315
+0.0762923
+0.0742791
+0.0722756
+0.070279
+0.0682941
+0.0663139
+0.064347
+0.0623951
+0.0604595
+0.0585418
+0.056644
+0.0547681
+0.0529163
+0.0510914
+0.0492963
+0.0475344
+0.0458082
+0.0441185
+0.0424747
+0.0408821
+0.0393471
+0.0378766
+0.0364785
+0.0351493
+0.0339027
+0.0327553
+0.031718
+0.0308017
+0.0300176
+0.0293764
+0.0288874
+0.028552
+0.0283561
+0.0283287
+0.0284704
+0.0287786
+0.0292481
+0.0298712
+0.0306387
+0.0315399
+0.0325453
+0.0336572
+0.0348715
+0.0361777
+0.0375664
+0.0390284
+0.0405535
+0.0421373
+0.0437734
+0.0454563
+0.0471809
+0.0489428
+0.0507381
+0.0525633
+0.0544156
+0.0562922
+0.0581907
+0.0601091
+0.0620456
+0.06366
+0.0651994
+0.0667744
+0.0683828
+0.0700228
+0.0716923
+0.0733892
+0.075049
+0.0767103
+0.0783977
+0.0801094
+0.081844
+0.0835994
+0.0853701
+0.0871599
+0.0889677
+0.0898139
+0.0901181
+0.0904743
+0.0908783
+0.0913265
+0.0918248
+0.0923677
+0.0929537
+0.0935874
+0.0942677
+0.0949936
+0.0957642
+0.0965369
+0.0973176
+0.0981303
+0.098877
+0.0996627
+0.10049
+0.101358
+0.102251
+0.103179
+0.0838203
+0.0817577
+0.0797019
+0.0776535
+0.0756131
+0.0735814
+0.071559
+0.069546
+0.0675398
+0.0655451
+0.0635634
+0.0615921
+0.0596304
+0.0576852
+0.0557583
+0.0538515
+0.0519671
+0.0501076
+0.0482759
+0.0464753
+0.0447096
+0.0429829
+0.0412959
+0.039656
+0.0380716
+0.0365499
+0.035099
+0.033728
+0.0324327
+0.0312314
+0.0301417
+0.029176
+0.028347
+0.027667
+0.0271473
+0.0267971
+0.0265929
+0.0265637
+0.0267147
+0.0270429
+0.027542
+0.0282029
+0.0290145
+0.0299646
+0.0310211
+0.0321857
+0.0334534
+0.0348129
+0.0362539
+0.0377668
+0.0393408
+0.0409715
+0.0426524
+0.0443778
+0.0461427
+0.0479427
+0.0497741
+0.0516335
+0.053518
+0.0554249
+0.0573522
+0.0592977
+0.0609961
+0.0625243
+0.064091
+0.0656926
+0.0673269
+0.068992
+0.0706858
+0.0723431
+0.0740004
+0.0756847
+0.0773945
+0.0791279
+0.0808836
+0.0826593
+0.0844498
+0.0862587
+0.0880849
+0.0887199
+0.0890278
+0.0893883
+0.0897974
+0.090251
+0.0907552
+0.0913092
+0.0919121
+0.0925553
+0.0932431
+0.0939412
+0.0946269
+0.0953437
+0.0961052
+0.0969101
+0.0976947
+0.0984899
+0.0993173
+0.100177
+0.101072
+0.101976
+0.0832602
+0.0811834
+0.0791127
+0.0770487
+0.0749918
+0.0729428
+0.0709022
+0.0688708
+0.0668486
+0.0648329
+0.0628287
+0.0608373
+0.0588602
+0.0568986
+0.0549446
+0.0530085
+0.0510931
+0.0492006
+0.0473338
+0.0454959
+0.0436906
+0.041922
+0.040195
+0.0385145
+0.0368823
+0.0353093
+0.0338052
+0.0323795
+0.0310325
+0.0297748
+0.0286296
+0.0276111
+0.0267336
+0.0260115
+0.025458
+0.0250842
+0.0248977
+0.0248665
+0.0250277
+0.0253778
+0.0259089
+0.0266104
+0.0274691
+0.0284709
+0.0295807
+0.0307999
+0.0321223
+0.0335358
+0.0350294
+0.0365929
+0.0382153
+0.039892
+0.0416166
+0.0433832
+0.0451869
+0.0470236
+0.0488894
+0.0507812
+0.0526961
+0.0546318
+0.0565861
+0.0583751
+0.0598901
+0.0614458
+0.0630393
+0.064667
+0.0663266
+0.0680162
+0.0696699
+0.071322
+0.0730025
+0.0747093
+0.0764409
+0.0781955
+0.0799716
+0.0817672
+0.0835767
+0.0853583
+0.0868796
+0.0876572
+0.0879688
+0.0883337
+0.0887511
+0.0892163
+0.0897264
+0.0902867
+0.0908963
+0.091512
+0.0920969
+0.0927299
+0.0934099
+0.0941361
+0.0949072
+0.0957223
+0.0965019
+0.0972687
+0.0980701
+0.098903
+0.0997771
+0.10069
+0.0827544
+0.0806646
+0.0785802
+0.0765018
+0.0744298
+0.0723649
+0.0703075
+0.0682584
+0.0662184
+0.0641874
+0.0621625
+0.0601491
+0.0581486
+0.0561622
+0.0541916
+0.0522351
+0.0502901
+0.0483662
+0.0464659
+0.0445923
+0.0427488
+0.0409396
+0.0391693
+0.0374435
+0.0357687
+0.0341523
+0.0326008
+0.0311225
+0.0297232
+0.0284076
+0.0272049
+0.0261309
+0.0252019
+0.0244346
+0.0238445
+0.023445
+0.023246
+0.0232519
+0.0234243
+0.0237979
+0.0243636
+0.0251082
+0.0260166
+0.0270721
+0.028237
+0.0295117
+0.0308894
+0.0323568
+0.0339024
+0.0355155
+0.0371849
+0.0389061
+0.0406725
+0.0424784
+0.044319
+0.0461901
+0.0480883
+0.0500104
+0.0519538
+0.0539161
+0.055803
+0.0573022
+0.0588449
+0.0604275
+0.0620472
+0.0637002
+0.0653843
+0.0670334
+0.068679
+0.0703543
+0.0720574
+0.0737861
+0.0755388
+0.0773139
+0.0791097
+0.0807863
+0.0822755
+0.0837954
+0.0853446
+0.0866161
+0.0869517
+0.0873208
+0.0877431
+0.0882167
+0.0887387
+0.0892438
+0.0897478
+0.0902909
+0.0908836
+0.0915248
+0.0922137
+0.0929492
+0.09373
+0.0945025
+0.0952237
+0.0959813
+0.0967826
+0.0976265
+0.0985119
+0.0994303
+0.0823038
+0.0802022
+0.0781055
+0.0760142
+0.0739285
+0.0718491
+0.0697766
+0.0677114
+0.0656544
+0.0636064
+0.061567
+0.0595336
+0.0575117
+0.0555025
+0.0535076
+0.0515286
+0.0495674
+0.0476181
+0.0456867
+0.0437797
+0.0419005
+0.040053
+0.0382417
+0.036472
+0.0347504
+0.0330843
+0.0314803
+0.0299467
+0.028499
+0.0271485
+0.0258874
+0.0247563
+0.0237737
+0.0229587
+0.0223296
+0.0219025
+0.0216893
+0.0216964
+0.0219227
+0.0223215
+0.0229236
+0.0237135
+0.0246733
+0.0257839
+0.0270044
+0.0283346
+0.0297668
+0.0312869
+0.0328828
+0.0345436
+0.0362578
+0.038021
+0.0398266
+0.0416692
+0.043544
+0.0454471
+0.047375
+0.0493249
+0.0512943
+0.0532809
+0.0547674
+0.0562943
+0.0578638
+0.0594726
+0.0611175
+0.062795
+0.0644379
+0.0660755
+0.0677444
+0.0694423
+0.0711671
+0.072917
+0.0746898
+0.0762548
+0.0777073
+0.0791938
+0.0807123
+0.0822612
+0.0838387
+0.0854433
+0.0859146
+0.0863204
+0.0866928
+0.0870876
+0.0875356
+0.0880309
+0.088536
+0.0890865
+0.0896872
+0.090337
+0.0910348
+0.0917797
+0.0925491
+0.0932256
+0.0939483
+0.0947161
+0.095528
+0.0963829
+0.0972747
+0.0982027
+0.0819093
+0.0797974
+0.0776898
+0.0755869
+0.0734891
+0.0713969
+0.0693108
+0.0672314
+0.0651593
+0.0630951
+0.0610398
+0.058993
+0.0569519
+0.0549223
+0.0529055
+0.0509031
+0.0489168
+0.0469488
+0.0450007
+0.0430634
+0.0411515
+0.0392687
+0.0374195
+0.035609
+0.0338435
+0.0321304
+0.0304762
+0.0288893
+0.0273859
+0.0259803
+0.0246894
+0.0235013
+0.0224639
+0.0215995
+0.0209296
+0.0204733
+0.0202451
+0.0202527
+0.0204957
+0.020928
+0.021569
+0.0224068
+0.0234201
+0.0245874
+0.0258803
+0.0272715
+0.0287623
+0.0303377
+0.031981
+0.0336841
+0.0354399
+0.0372418
+0.0390835
+0.0409595
+0.0428654
+0.0447973
+0.046752
+0.0487269
+0.0507194
+0.0522933
+0.0538012
+0.0553547
+0.0569501
+0.0585839
+0.0602532
+0.0618847
+0.0635146
+0.0651772
+0.0668686
+0.0685881
+0.0703329
+0.0717716
+0.0731819
+0.0746299
+0.0761134
+0.0776304
+0.079179
+0.0807573
+0.0823636
+0.0839963
+0.0848323
+0.0851451
+0.0855013
+0.0859017
+0.0863558
+0.0868471
+0.0873591
+0.087917
+0.0885256
+0.0891838
+0.0898906
+0.0906449
+0.0912889
+0.0919746
+0.0927071
+0.0934851
+0.0943076
+0.0951711
+0.0960695
+0.0970091
+0.0815718
+0.0794509
+0.0773338
+0.075221
+0.0731127
+0.0710095
+0.0689116
+0.0668198
+0.0647345
+0.0626563
+0.0605862
+0.0585247
+0.0564717
+0.0544242
+0.0523882
+0.0503652
+0.0483569
+0.046365
+0.0443919
+0.0424402
+0.0405072
+0.038593
+0.0367098
+0.0348624
+0.0330571
+0.031301
+0.0296005
+0.0279639
+0.0264079
+0.0249473
+0.0235999
+0.0223863
+0.021298
+0.0203843
+0.019673
+0.0191869
+0.0189432
+0.0189513
+0.0192108
+0.0196781
+0.0203585
+0.0212441
+0.0223103
+0.0235327
+0.0248805
+0.0263245
+0.0278661
+0.0294899
+0.0311832
+0.0329352
+0.0347298
+0.0365667
+0.0384407
+0.0403466
+0.0422801
+0.0442376
+0.0462161
+0.0482129
+0.0498889
+0.0513739
+0.052908
+0.054487
+0.0561071
+0.0577648
+0.0593696
+0.0609881
+0.0626414
+0.0643268
+0.0659794
+0.0673387
+0.0687077
+0.0701112
+0.0715543
+0.0730346
+0.0745499
+0.076098
+0.0776771
+0.0792853
+0.0809209
+0.0825821
+0.0836054
+0.0839229
+0.0842962
+0.0847244
+0.0852068
+0.085703
+0.0862218
+0.086787
+0.0874034
+0.0880701
+0.0887858
+0.0894113
+0.090058
+0.0907531
+0.0914953
+0.0922835
+0.0931167
+0.09399
+0.0948996
+0.0958506
+0.081292
+0.0791635
+0.0770386
+0.0749174
+0.0728004
+0.0706878
+0.0685801
+0.0664778
+0.0643815
+0.0622916
+0.0602088
+0.058134
+0.056068
+0.0540103
+0.0519582
+0.0499178
+0.0478907
+0.0458786
+0.0438836
+0.0419082
+0.0399553
+0.0380282
+0.0361192
+0.03424
+0.0324
+0.0306062
+0.0288648
+0.027184
+0.0255805
+0.0240698
+0.0226703
+0.021404
+0.0202958
+0.0193413
+0.0185902
+0.018075
+0.0178161
+0.0178246
+0.0181003
+0.0185986
+0.0193171
+0.0202482
+0.0213642
+0.0226377
+0.024039
+0.0255309
+0.0271176
+0.0287837
+0.0305162
+0.0323044
+0.0341322
+0.0359996
+0.0379016
+0.0398333
+0.0417906
+0.04377
+0.0457687
+0.0475649
+0.0490224
+0.0505329
+0.0520917
+0.0536947
+0.055338
+0.0569122
+0.0585166
+0.060158
+0.0616458
+0.0629462
+0.064295
+0.0656471
+0.0670431
+0.0684807
+0.0699575
+0.0714708
+0.0730185
+0.0745985
+0.0762087
+0.0778472
+0.0795123
+0.0812024
+0.0823507
+0.082673
+0.0830518
+0.0834864
+0.083976
+0.0845195
+0.0850671
+0.0856616
+0.0863076
+0.0869972
+0.087602
+0.0882076
+0.0888631
+0.0895674
+0.0903193
+0.0911177
+0.0919614
+0.0928456
+0.0937663
+0.0947195
+0.081064
+0.0789327
+0.0768047
+0.0746769
+0.0725528
+0.0704328
+0.0683173
+0.0662067
+0.0641014
+0.0620021
+0.0599093
+0.0578237
+0.0557462
+0.0536778
+0.0516176
+0.0495632
+0.047521
+0.0454926
+0.0434799
+0.0414853
+0.0395114
+0.0375616
+0.0356398
+0.0337485
+0.0318802
+0.0300554
+0.02828
+0.0265623
+0.0249188
+0.0233654
+0.021921
+0.0206087
+0.0194552
+0.0184598
+0.0176713
+0.0171285
+0.016855
+0.0168641
+0.0171552
+0.0176983
+0.0184519
+0.0194245
+0.0205852
+0.0219041
+0.0233543
+0.0249052
+0.0265294
+0.0282302
+0.0299947
+0.0318122
+0.0336667
+0.0355586
+0.037483
+0.0394352
+0.0414113
+0.043408
+0.0453335
+0.046758
+0.0482399
+0.0497741
+0.051356
+0.0529758
+0.05452
+0.0561073
+0.0574031
+0.058634
+0.0599197
+0.0612493
+0.0625901
+0.0639778
+0.0654095
+0.0668822
+0.0683935
+0.0699407
+0.0715215
+0.0731339
+0.0747756
+0.0764448
+0.0781399
+0.079859
+0.0811356
+0.0814627
+0.0818472
+0.0822882
+0.0827848
+0.0833361
+0.0839136
+0.0845162
+0.0851709
+0.0858663
+0.0864285
+0.0870423
+0.0877065
+0.08842
+0.0891817
+0.0899902
+0.0908443
+0.0917353
+0.092667
+0.0935187
+0.080894
+0.0787582
+0.0766254
+0.074496
+0.0723703
+0.0702453
+0.0681239
+0.0660071
+0.0638953
+0.0617889
+0.0596887
+0.0575951
+0.0555091
+0.0534314
+0.0513632
+0.0493035
+0.0472501
+0.0452095
+0.0431837
+0.0411747
+0.0391852
+0.0372183
+0.0352777
+0.0333682
+0.0314953
+0.0296565
+0.0278558
+0.0261101
+0.0244363
+0.02285
+0.0213709
+0.0200225
+0.0188332
+0.0178031
+0.0169841
+0.0164186
+0.0161331
+0.0161425
+0.0164464
+0.017029
+0.0178152
+0.0188207
+0.0200165
+0.0213685
+0.0228475
+0.0244336
+0.0261073
+0.0278386
+0.0296264
+0.0314634
+0.0333363
+0.0352459
+0.0371866
+0.0391536
+0.0411432
+0.0431523
+0.0445939
+0.0460412
+0.0475455
+0.0491014
+0.050682
+0.0521918
+0.053273
+0.054421
+0.0556316
+0.0569008
+0.0582087
+0.0595374
+0.0609159
+0.0623409
+0.0638093
+0.0653181
+0.0668647
+0.0684465
+0.0700611
+0.0717062
+0.0733799
+0.0750802
+0.0768053
+0.0785537
+0.0799455
+0.080289
+0.0806841
+0.0811314
+0.0816351
+0.082194
+0.082774
+0.0833866
+0.0840518
+0.0847255
+0.0852953
+0.0859171
+0.08659
+0.0873126
+0.0880838
+0.0889023
+0.0897591
+0.0906581
+0.0915259
+0.0923409
+0.0807765
+0.0786382
+0.0765027
+0.0743705
+0.0722418
+0.070117
+0.0679962
+0.0658798
+0.0637638
+0.061653
+0.0595479
+0.0574492
+0.0553577
+0.0532741
+0.0511995
+0.049135
+0.0470797
+0.0450314
+0.0429971
+0.040979
+0.0389795
+0.0370017
+0.0350492
+0.0331264
+0.031239
+0.0293921
+0.0275758
+0.0258177
+0.0241305
+0.0225301
+0.0210356
+0.0196643
+0.0184518
+0.0173992
+0.0165603
+0.0159797
+0.0156862
+0.015696
+0.0160084
+0.0166063
+0.0174115
+0.0184392
+0.0196581
+0.0210332
+0.0225342
+0.0241409
+0.0258336
+0.0275964
+0.0293932
+0.0312366
+0.0331224
+0.0350437
+0.0369949
+0.0389716
+0.04097
+0.0425418
+0.0439511
+0.0454189
+0.0469431
+0.0482793
+0.0492839
+0.0503323
+0.0514527
+0.0526404
+0.053891
+0.0551746
+0.0564896
+0.0578578
+0.0592753
+0.0607388
+0.062245
+0.0637909
+0.0653736
+0.0669906
+0.0686394
+0.0703179
+0.0720238
+0.0737554
+0.0755108
+0.0772884
+0.0787681
+0.0791167
+0.0795242
+0.0799896
+0.0805119
+0.0810823
+0.0816488
+0.0822697
+0.0829439
+0.0836265
+0.0842037
+0.0848336
+0.085515
+0.0862466
+0.0870273
+0.0878477
+0.088712
+0.0895634
+0.0903376
+0.0911433
+0.0807068
+0.0785695
+0.0764352
+0.074302
+0.0721713
+0.0700443
+0.0679213
+0.0658027
+0.0636891
+0.0615808
+0.0594785
+0.0573828
+0.0552927
+0.0532066
+0.0511293
+0.0490618
+0.0470054
+0.0449566
+0.0429193
+0.0408978
+0.0388946
+0.0369126
+0.0349555
+0.0330277
+0.0311346
+0.0292817
+0.0274581
+0.0256919
+0.0239959
+0.0223859
+0.0208818
+0.0195082
+0.0182945
+0.0172659
+0.0164202
+0.0158345
+0.0155383
+0.0155481
+0.0158634
+0.0164666
+0.0172784
+0.0183135
+0.0195403
+0.0209231
+0.0224315
+0.024045
+0.025744
+0.0275126
+0.0293145
+0.0311626
+0.0330526
+0.0349777
+0.0369324
+0.0389123
+0.0406056
+0.041982
+0.0434095
+0.0445424
+0.0454447
+0.0463972
+0.0474081
+0.0484969
+0.0496585
+0.050888
+0.0521479
+0.0534477
+0.0548042
+0.0562133
+0.0576713
+0.0591745
+0.0607195
+0.0623032
+0.0639228
+0.0655756
+0.0672591
+0.0689712
+0.0707096
+0.0724726
+0.0742583
+0.0760652
+0.0776215
+0.0779849
+0.0783746
+0.0788233
+0.07933
+0.0798936
+0.0805128
+0.0811863
+0.0818796
+0.0825711
+0.0831556
+0.0837933
+0.0844831
+0.0852236
+0.0860054
+0.0868328
+0.0876195
+0.0883414
+0.0891114
+0.0899281
+0.080689
+0.0785539
+0.0764192
+0.0742877
+0.0721598
+0.0700358
+0.067916
+0.0657983
+0.0636845
+0.061576
+0.0594735
+0.0573776
+0.0552891
+0.0532088
+0.0511377
+0.049077
+0.0470212
+0.0449707
+0.042934
+0.0409133
+0.0389109
+0.0369299
+0.034974
+0.0330475
+0.0311559
+0.0293061
+0.0275063
+0.0257526
+0.0240608
+0.0224555
+0.0209564
+0.0195881
+0.0183796
+0.0173646
+0.016539
+0.0159577
+0.0156639
+0.0156736
+0.0159864
+0.0165851
+0.0174213
+0.0184484
+0.0196668
+0.0210417
+0.0225422
+0.0241483
+0.0258405
+0.0276029
+0.0293993
+0.0312424
+0.0331278
+0.0350488
+0.0369997
+0.0388205
+0.0401385
+0.040973
+0.0417989
+0.0426468
+0.0435329
+0.044501
+0.0455539
+0.046686
+0.0478916
+0.0491302
+0.0504125
+0.0517559
+0.0531556
+0.0546073
+0.056107
+0.057651
+0.0592358
+0.0608581
+0.0625152
+0.0642042
+0.0659227
+0.0676686
+0.0694396
+0.0712341
+0.0730501
+0.0748862
+0.0764003
+0.0767569
+0.0771529
+0.0776087
+0.0781232
+0.0786955
+0.0793241
+0.0800077
+0.0807451
+0.0815346
+0.0821525
+0.082798
+0.083496
+0.0842369
+0.0850251
+0.0857281
+0.0864103
+0.0871418
+0.0879085
+0.0887227
+0.0807218
+0.0785876
+0.0764565
+0.074329
+0.0722052
+0.0700856
+0.0679686
+0.0658552
+0.063747
+0.0616445
+0.0595483
+0.0574561
+0.0553705
+0.0532934
+0.0512257
+0.0491687
+0.0471199
+0.0450809
+0.0430567
+0.0410458
+0.0390503
+0.0370767
+0.035129
+0.0332115
+0.0313298
+0.0294909
+0.0277031
+0.0259772
+0.0243237
+0.0227369
+0.0212577
+0.0199101
+0.0187225
+0.017727
+0.0169192
+0.0163514
+0.0160647
+0.0160742
+0.0163794
+0.0169643
+0.0177939
+0.0188006
+0.0199976
+0.0213528
+0.022838
+0.0244297
+0.0261083
+0.0278581
+0.0296461
+0.0314748
+0.0333471
+0.0352561
+0.0370468
+0.037615
+0.0382779
+0.0390516
+0.0398834
+0.0407027
+0.0416214
+0.0426329
+0.0437309
+0.0449089
+0.0461231
+0.0473855
+0.0487138
+0.0501027
+0.0515473
+0.0530431
+0.0545858
+0.0561716
+0.057797
+0.0594586
+0.0611536
+0.0628792
+0.064633
+0.0664127
+0.0682164
+0.0700422
+0.0718799
+0.0737117
+0.075223
+0.0755726
+0.0759747
+0.0764375
+0.0769599
+0.0775407
+0.0781786
+0.0788722
+0.0796201
+0.0804206
+0.0811962
+0.0818492
+0.0825468
+0.0832933
+0.0838964
+0.0845223
+0.0851999
+0.0859281
+0.0867055
+0.0875309
+0.080814
+0.0786823
+0.0765539
+0.0744291
+0.0723083
+0.0701918
+0.0680799
+0.0659732
+0.0638722
+0.0617773
+0.0596888
+0.0576048
+0.055529
+0.0534624
+0.0514061
+0.0493575
+0.047317
+0.0452868
+0.0432722
+0.0412756
+0.0392997
+0.0373477
+0.035419
+0.0335181
+0.0316547
+0.0298358
+0.02807
+0.0263681
+0.0247432
+0.0232107
+0.0217656
+0.0204526
+0.0192997
+0.0183369
+0.0175663
+0.0170201
+0.0167449
+0.016754
+0.017047
+0.0176098
+0.0184125
+0.0193928
+0.0205566
+0.0218772
+0.0233291
+0.0248894
+0.0265389
+0.028262
+0.030027
+0.031844
+0.0337054
+0.0345312
+0.0350119
+0.0356138
+0.036326
+0.0370901
+0.0379146
+0.0387755
+0.0397388
+0.040797
+0.0419431
+0.0431289
+0.0443684
+0.0456793
+0.0470558
+0.0484922
+0.0499834
+0.0515246
+0.0531114
+0.05474
+0.0564066
+0.058108
+0.0598412
+0.0616036
+0.0633927
+0.0652063
+0.0670315
+0.0688529
+0.0706953
+0.072557
+0.0740882
+0.0744339
+0.0748421
+0.0753119
+0.075842
+0.0764313
+0.0770784
+0.0777818
+0.0785275
+0.0793039
+0.0801328
+0.08094
+0.0815651
+0.0821117
+0.0826931
+0.083328
+0.0840153
+0.0847536
+0.0855417
+0.0863758
+0.0809654
+0.0788378
+0.0767137
+0.0745935
+0.0724775
+0.070366
+0.0682596
+0.0661586
+0.0640636
+0.0619753
+0.0598942
+0.0578213
+0.0557573
+0.0537034
+0.0516608
+0.0496275
+0.0476072
+0.0455971
+0.0435969
+0.0416159
+0.0396569
+0.0377234
+0.0358196
+0.0339503
+0.0321218
+0.0303354
+0.0286005
+0.0269321
+0.0253434
+0.0238495
+0.0224455
+0.0211748
+0.0200634
+0.0191391
+0.0184301
+0.0179332
+0.0176722
+0.0176809
+0.0179588
+0.0184938
+0.0192597
+0.0201989
+0.0213226
+0.0226027
+0.0240108
+0.0255294
+0.0271401
+0.0288222
+0.0305538
+0.0318569
+0.0321
+0.0324894
+0.032997
+0.0336139
+0.0343075
+0.0351155
+0.0359714
+0.0368778
+0.0378893
+0.0389929
+0.0401442
+0.0413632
+0.042654
+0.0440161
+0.0454429
+0.0469288
+0.0484681
+0.0500559
+0.0516879
+0.0533599
+0.0550683
+0.0568098
+0.0585814
+0.0603806
+0.0621909
+0.0640001
+0.0658325
+0.0676862
+0.0695595
+0.0714508
+0.0728796
+0.073231
+0.0736458
+0.0741231
+0.0746616
+0.0752601
+0.0759171
+0.0766311
+0.0774006
+0.0782101
+0.0790504
+0.0799103
+0.0804068
+0.0809411
+0.0815309
+0.0821748
+0.0828716
+0.0836201
+0.0844183
+0.0852577
+0.0810647
+0.0789609
+0.076862
+0.0747684
+0.0726805
+0.0705988
+0.0685088
+0.0664157
+0.0643291
+0.0622497
+0.0601781
+0.0581153
+0.0560622
+0.0540199
+0.0519897
+0.049973
+0.0479716
+0.0459875
+0.044023
+0.0420676
+0.0401307
+0.0382212
+0.0363434
+0.0345026
+0.0327049
+0.0309579
+0.0292706
+0.0276541
+0.0261142
+0.024667
+0.0233123
+0.0220914
+0.0210285
+0.0201486
+0.0194764
+0.0190333
+0.0187876
+0.0187957
+0.0190573
+0.0195623
+0.0202925
+0.0212016
+0.0222748
+0.0235037
+0.0248652
+0.0263351
+0.0278993
+0.0295336
+0.0296899
+0.0297899
+0.0300334
+0.030422
+0.0309612
+0.0315773
+0.0323115
+0.0331681
+0.0340583
+0.0350143
+0.0360607
+0.0371737
+0.0383727
+0.0396399
+0.040985
+0.0424007
+0.0438802
+0.0454172
+0.047006
+0.0486416
+0.0503195
+0.0520354
+0.0537859
+0.0555676
+0.0573602
+0.0591549
+0.0609755
+0.0628197
+0.0646855
+0.0665711
+0.0684749
+0.0703954
+0.0716687
+0.0720288
+0.0724505
+0.0729356
+0.0734829
+0.0740909
+0.0747582
+0.0754832
+0.0762642
+0.0770996
+0.0779876
+0.0787868
+0.0792716
+0.0798136
+0.0804116
+0.0810644
+0.0817707
+0.0825272
+0.0833279
+0.0841781
+0.081185
+0.0790847
+0.0769891
+0.074899
+0.0728149
+0.0707371
+0.0686664
+0.0666033
+0.0645487
+0.0625033
+0.0604681
+0.0584442
+0.0564326
+0.0544228
+0.0524082
+0.0504083
+0.0484249
+0.0464601
+0.0445164
+0.0425967
+0.0407044
+0.0388363
+0.0369898
+0.0351828
+0.0334217
+0.0317142
+0.0300694
+0.0284982
+0.0270134
+0.02563
+0.0243402
+0.0231735
+0.0221626
+0.0213295
+0.0206957
+0.0202798
+0.0200688
+0.0200764
+0.0203216
+0.0207959
+0.0214841
+0.0223666
+0.023394
+0.024567
+0.0258726
+0.0272883
+0.0277313
+0.0276589
+0.0275929
+0.027687
+0.0279368
+0.0283542
+0.0289115
+0.0295589
+0.0303423
+0.0312501
+0.0321806
+0.0331587
+0.0342259
+0.0353966
+0.0366398
+0.0379648
+0.0393673
+0.0408391
+0.0423731
+0.0439628
+0.0456023
+0.0472865
+0.0490108
+0.050771
+0.0525421
+0.0543192
+0.0561257
+0.0579586
+0.0598156
+0.0616945
+0.0635933
+0.0655104
+0.0674441
+0.0693932
+0.0704345
+0.0708504
+0.071291
+0.0717839
+0.0723398
+0.0729573
+0.0736348
+0.0743706
+0.0751632
+0.0760106
+0.0769111
+0.0776672
+0.0781619
+0.0787144
+0.0793236
+0.0799791
+0.0806863
+0.0814463
+0.0822576
+0.0831188
+0.0813539
+0.0792604
+0.0771722
+0.0750898
+0.0730136
+0.0709428
+0.0688783
+0.0668218
+0.0647741
+0.0627361
+0.0607087
+0.058693
+0.0566903
+0.0547021
+0.0527299
+0.0507755
+0.0488413
+0.0469296
+0.0450433
+0.0431858
+0.0413468
+0.0395078
+0.0377064
+0.0359483
+0.03424
+0.0325896
+0.0309968
+0.0294761
+0.0280441
+0.0267152
+0.0254897
+0.0243781
+0.0234192
+0.0226324
+0.0220361
+0.0216461
+0.0214735
+0.0215023
+0.0217313
+0.0221755
+0.0228222
+0.0236548
+0.0246546
+0.025773
+0.0263451
+0.025938
+0.025706
+0.0255554
+0.0254839
+0.0255857
+0.0258558
+0.0263062
+0.0268715
+0.0275669
+0.0284056
+0.0293292
+0.0302956
+0.0313071
+0.0324353
+0.0336575
+0.0349583
+0.0363447
+0.0378072
+0.0393375
+0.0409278
+0.0425715
+0.0442626
+0.0459959
+0.0477403
+0.049496
+0.0512851
+0.0531044
+0.0549507
+0.0568216
+0.0587145
+0.0606276
+0.0625588
+0.0645043
+0.0664434
+0.0683977
+0.0692477
+0.0696707
+0.0701595
+0.0706726
+0.0712372
+0.0718641
+0.0725518
+0.0732986
+0.0741026
+0.074962
+0.075875
+0.0765925
+0.0770941
+0.0776543
+0.0782624
+0.0789242
+0.0796407
+0.0804106
+0.0812323
+0.0820847
+0.0815804
+0.0794928
+0.0774108
+0.0753351
+0.0732661
+0.0712043
+0.0691504
+0.0671052
+0.0650695
+0.0630435
+0.061027
+0.0590222
+0.0570311
+0.0550551
+0.053096
+0.0511557
+0.0492364
+0.0473406
+0.0454714
+0.0436321
+0.0418265
+0.0400542
+0.0383237
+0.0366426
+0.0350178
+0.0334576
+0.0319715
+0.0305173
+0.0291513
+0.0278874
+0.0267308
+0.0257092
+0.024806
+0.0240646
+0.0235046
+0.0231394
+0.022978
+0.023025
+0.0232531
+0.0236687
+0.0242757
+0.02506
+0.0257349
+0.0249796
+0.0243912
+0.0239625
+0.0237077
+0.0234678
+0.0233899
+0.0235007
+0.0237945
+0.0242822
+0.0248572
+0.0256073
+0.0265084
+0.0274487
+0.0284263
+0.029502
+0.0306961
+0.0319692
+0.0333359
+0.034787
+0.0363124
+0.037903
+0.0395511
+0.0412497
+0.0429604
+0.044689
+0.0464567
+0.0482591
+0.0500925
+0.0519535
+0.0538394
+0.0557475
+0.0576757
+0.0596107
+0.061548
+0.0635018
+0.0654705
+0.067453
+0.0681107
+0.0685407
+0.0690375
+0.0695998
+0.0701856
+0.0708219
+0.0715196
+0.072277
+0.0730923
+0.0739634
+0.0747911
+0.0754626
+0.0760745
+0.0766326
+0.0772462
+0.0779166
+0.0786266
+0.0793736
+0.0801735
+0.0810248
+0.0818648
+0.0797846
+0.0777105
+0.075643
+0.0735826
+0.07153
+0.0694858
+0.0674507
+0.0654258
+0.0634118
+0.06141
+0.0594202
+0.057443
+0.0554817
+0.0535383
+0.0516147
+0.0497132
+0.0478365
+0.0459875
+0.0441687
+0.0423799
+0.0406304
+0.0389255
+0.0372715
+0.0356754
+0.0341453
+0.0326905
+0.0313214
+0.0300498
+0.0288886
+0.027843
+0.0269327
+0.0261745
+0.025582
+0.0250739
+0.0247318
+0.0245809
+0.0246248
+0.0248619
+0.0252511
+0.0258209
+0.0248393
+0.0238874
+0.02308
+0.0224419
+0.0219976
+0.0217081
+0.0214008
+0.0213154
+0.0214368
+0.0217585
+0.0222492
+0.0228754
+0.0236883
+0.0246113
+0.0255672
+0.0266061
+0.0277457
+0.0289808
+0.0303241
+0.0317617
+0.0332816
+0.034873
+0.0365264
+0.0382105
+0.0399044
+0.0416447
+0.0434258
+0.0452429
+0.0470917
+0.0489688
+0.050871
+0.0527955
+0.0547179
+0.0566531
+0.0586063
+0.0605757
+0.0625599
+0.0645574
+0.0665384
+0.0669068
+0.0673445
+0.0678501
+0.0684221
+0.069059
+0.0697588
+0.0705198
+0.0712905
+0.0720684
+0.0728774
+0.0736535
+0.0743354
+0.0750187
+0.0756061
+0.0762221
+0.0768653
+0.0775649
+0.0783197
+0.0791278
+0.0799879
+0.0822067
+0.0801354
+0.0780706
+0.0760129
+0.0739628
+0.071921
+0.0698878
+0.067862
+0.0658467
+0.063843
+0.0618519
+0.0598748
+0.0579131
+0.0559684
+0.0540425
+0.0521375
+0.0502558
+0.0484001
+0.0465735
+0.0447795
+0.0430224
+0.0413067
+0.0396378
+0.0380165
+0.036453
+0.034957
+0.0335374
+0.0322043
+0.0309689
+0.0298334
+0.0288196
+0.0279412
+0.0272111
+0.0266417
+0.0262433
+0.0260239
+0.0259879
+0.0261362
+0.0264392
+0.0254801
+0.0242328
+0.0231148
+0.0221027
+0.0212269
+0.0205313
+0.0200521
+0.0196727
+0.0193611
+0.0192667
+0.0194008
+0.0197557
+0.0202491
+0.0209352
+0.0218205
+0.0227095
+0.0237018
+0.0248006
+0.025991
+0.0273056
+0.0287273
+0.030241
+0.0318336
+0.0334938
+0.0351512
+0.0368555
+0.038609
+0.0404051
+0.0422385
+0.0441045
+0.0459991
+0.0479158
+0.0498262
+0.0517589
+0.0537114
+0.0556815
+0.0576677
+0.0596681
+0.0616814
+0.0636095
+0.0653224
+0.0657117
+0.0661674
+0.0666817
+0.0672634
+0.0679109
+0.0686221
+0.069344
+0.0701116
+0.0709386
+0.0718152
+0.0725643
+0.0732563
+0.073955
+0.0745263
+0.0751352
+0.0757886
+0.0764981
+0.0772633
+0.0780824
+0.0789538
+0.0814159
+0.0803952
+0.0784879
+0.0764389
+0.0743979
+0.0723657
+0.070343
+0.0683307
+0.0663296
+0.0643409
+0.0623658
+0.0604055
+0.0584616
+0.0565358
+0.0546299
+0.0527461
+0.0508869
+0.0490551
+0.0472538
+0.0454867
+0.043758
+0.0420723
+0.040435
+0.0388523
+0.0373312
+0.0358793
+0.0344941
+0.0331902
+0.0319833
+0.0308848
+0.0299067
+0.0290611
+0.0283599
+0.027814
+0.0274327
+0.0272229
+0.0271885
+0.0268783
+0.0253701
+0.0239574
+0.0226208
+0.0214015
+0.0203346
+0.0194335
+0.018655
+0.0180854
+0.0176244
+0.0173582
+0.0172528
+0.0174023
+0.0177691
+0.0182927
+0.0190494
+0.0199238
+0.0208367
+0.0218918
+0.0230299
+0.0243073
+0.0257081
+0.0272134
+0.0288067
+0.030444
+0.0320993
+0.0338156
+0.0355839
+0.037397
+0.0392487
+0.0411336
+0.0430299
+0.0449354
+0.0468656
+0.0488171
+0.0507882
+0.0527766
+0.0547804
+0.0567981
+0.0587246
+0.0606155
+0.062526
+0.0641232
+0.0645197
+0.0649877
+0.0655245
+0.0661167
+0.0667755
+0.0674837
+0.0682019
+0.0689822
+0.0698226
+0.0707208
+0.0715257
+0.0722276
+0.0728672
+0.073447
+0.074087
+0.0747575
+0.0754767
+0.0762521
+0.0770097
+0.0776915
+0.0801815
+0.0791449
+0.078156
+0.0768909
+0.0748633
+0.0728452
+0.0708373
+0.0688406
+0.0668561
+0.0648848
+0.062928
+0.0609871
+0.0590637
+0.0571596
+0.0552767
+0.053417
+0.0515822
+0.0497749
+0.0479992
+0.046259
+0.0445586
+0.0429027
+0.0412966
+0.0397465
+0.0382534
+0.0368278
+0.0354803
+0.0342201
+0.0330571
+0.032002
+0.0310619
+0.0302486
+0.0295756
+0.0290526
+0.0286877
+0.0284871
+0.0272754
+0.0255958
+0.0239985
+0.0225013
+0.0210722
+0.0197684
+0.0186086
+0.0175926
+0.0167436
+0.0161065
+0.0156132
+0.0153669
+0.0152877
+0.0154283
+0.0157541
+0.0163692
+0.0172081
+0.0180285
+0.0190015
+0.0201056
+0.0213374
+0.0227101
+0.0242036
+0.0257968
+0.0273917
+0.0290573
+0.0307872
+0.0325726
+0.034405
+0.036277
+0.0381468
+0.040045
+0.0419717
+0.0439232
+0.045896
+0.0478871
+0.0498949
+0.0519166
+0.0538421
+0.0557265
+0.0576325
+0.0595581
+0.0615015
+0.0629774
+0.0633811
+0.0638575
+0.0644036
+0.065006
+0.065676
+0.0663745
+0.0671046
+0.0678977
+0.0687481
+0.0696469
+0.0705397
+0.0712514
+0.0718246
+0.0724127
+0.0730617
+0.0737686
+0.0744973
+0.0751265
+0.0757648
+0.0764577
+0.0789811
+0.0779362
+0.0769317
+0.0759772
+0.0750745
+0.0733623
+0.071369
+0.0693876
+0.0674191
+0.0654648
+0.0635259
+0.0616038
+0.0597003
+0.0578171
+0.0559563
+0.0541203
+0.0523115
+0.0505329
+0.0487879
+0.0470767
+0.0454004
+0.0437694
+0.0421893
+0.0406657
+0.0392055
+0.0378158
+0.0365048
+0.0352811
+0.0341543
+0.0331313
+0.0322215
+0.0314382
+0.0307912
+0.0302892
+0.0298012
+0.0279466
+0.0261326
+0.024374
+0.0226908
+0.0211009
+0.0196271
+0.0182311
+0.0169631
+0.015841
+0.014896
+0.0141899
+0.01363
+0.013367
+0.0133081
+0.0133937
+0.0137618
+0.0144355
+0.0153065
+0.0161823
+0.0171886
+0.0184018
+0.0197431
+0.0212192
+0.0227496
+0.024345
+0.0260267
+0.0277742
+0.0295793
+0.0314189
+0.0332683
+0.0351569
+0.0370788
+0.039029
+0.0410035
+0.0429989
+0.0450122
+0.0470346
+0.0489628
+0.0508393
+0.0527399
+0.0546623
+0.0566042
+0.0585636
+0.0605389
+0.0618869
+0.0622977
+0.0627822
+0.0633266
+0.06394
+0.0646154
+0.0653101
+0.0660379
+0.0668297
+0.0676831
+0.0685959
+0.0695657
+0.0702725
+0.0708057
+0.0714022
+0.0720604
+0.0727168
+0.0733233
+0.0739178
+0.0745635
+0.0752674
+0.0778196
+0.0767628
+0.0757495
+0.0747799
+0.0738625
+0.0729994
+0.0719634
+0.0699988
+0.0680481
+0.0661123
+0.064193
+0.0622915
+0.0604097
+0.0585493
+0.0567125
+0.0549018
+0.0531196
+0.0513654
+0.0496406
+0.0479538
+0.0463091
+0.0447114
+0.0431657
+0.0416779
+0.0402544
+0.0389022
+0.037629
+0.0364431
+0.0353491
+0.0343584
+0.0334819
+0.0327288
+0.0321078
+0.0308051
+0.0288812
+0.0269681
+0.0251004
+0.0232794
+0.0215107
+0.0198263
+0.0182172
+0.0167011
+0.0153392
+0.0141587
+0.0131413
+0.0123412
+0.011718
+0.011411
+0.0112574
+0.0113608
+0.0117925
+0.0125181
+0.0134651
+0.0143477
+0.0154738
+0.0168112
+0.0182417
+0.0197153
+0.0213126
+0.0230078
+0.0247804
+0.0265695
+0.0283967
+0.0302721
+0.0321875
+0.0341359
+0.0361122
+0.0381119
+0.0401289
+0.0421565
+0.0440879
+0.0459545
+0.0478486
+0.049767
+0.0517071
+0.0536665
+0.0556432
+0.0576075
+0.0595118
+0.0608137
+0.0612165
+0.0616945
+0.0622459
+0.0628639
+0.0635419
+0.064256
+0.0649958
+0.0658001
+0.0666668
+0.0675934
+0.0685774
+0.069262
+0.0697364
+0.070276
+0.0708792
+0.0715444
+0.0721538
+0.0727519
+0.0734079
+0.0741212
+0.076703
+0.0756306
+0.0746072
+0.0736277
+0.0726958
+0.0718187
+0.0709983
+0.0702367
+0.0687411
+0.0668254
+0.0649272
+0.0630479
+0.0611856
+0.0593434
+0.0575257
+0.0557348
+0.0539734
+0.0522445
+0.0505514
+0.0488979
+0.047288
+0.0457264
+0.0442183
+0.0427692
+0.0413854
+0.0400675
+0.0388272
+0.0376736
+0.0366147
+0.0356592
+0.0348155
+0.0339482
+0.0319755
+0.0299825
+0.0280148
+0.0260766
+0.0241817
+0.0223146
+0.0204691
+0.0186643
+0.0169259
+0.0153041
+0.0138162
+0.0125253
+0.0113988
+0.0105286
+0.00987102
+0.00946527
+0.00926824
+0.00939911
+0.00988459
+0.0106731
+0.0116388
+0.0126271
+0.0138933
+0.0152546
+0.0167045
+0.0183023
+0.0200127
+0.0217421
+0.0235362
+0.0253927
+0.0272988
+0.0292448
+0.0312232
+0.0332282
+0.0352481
+0.0372757
+0.0392188
+0.041073
+0.0429589
+0.0448725
+0.0468104
+0.0487697
+0.0507479
+0.0527228
+0.0546217
+0.056539
+0.058445
+0.0597516
+0.0601615
+0.0606478
+0.0612087
+0.0618377
+0.0625268
+0.0632524
+0.0640037
+0.0648204
+0.0656999
+0.06664
+0.0675883
+0.0680953
+0.0685778
+0.0691264
+0.0697395
+0.0704155
+0.0710294
+0.0716321
+0.0722841
+0.072996
+0.0756335
+0.0745457
+0.0735071
+0.0725199
+0.0715771
+0.0706861
+0.0698524
+0.0690782
+0.0683654
+0.0675874
+0.0657056
+0.0638435
+0.0620029
+0.0601858
+0.0583943
+0.0566309
+0.0548982
+0.0531994
+0.0515377
+0.0499168
+0.0483408
+0.0468144
+0.0453425
+0.0439305
+0.0425844
+0.0413048
+0.0401028
+0.0389869
+0.0379648
+0.0370441
+0.0353966
+0.0333769
+0.0313198
+0.0292821
+0.0272681
+0.0252835
+0.0233312
+0.0213958
+0.0194905
+0.017647
+0.0158225
+0.0140831
+0.0124764
+0.0110392
+0.009798
+0.00877677
+0.00803104
+0.00750062
+0.00730891
+0.00754194
+0.00801396
+0.00886226
+0.00992333
+0.0110439
+0.0123224
+0.0137325
+0.015327
+0.0169555
+0.0186957
+0.0205224
+0.0224144
+0.0243566
+0.0263377
+0.0283484
+0.030373
+0.0323812
+0.034358
+0.036196
+0.0380714
+0.0399789
+0.0419141
+0.0438733
+0.0458534
+0.0478409
+0.0497332
+0.051647
+0.0535671
+0.0554422
+0.0573213
+0.058752
+0.0591689
+0.0596633
+0.0602333
+0.060873
+0.0615729
+0.0623096
+0.0630721
+0.0639007
+0.0647696
+0.0656664
+0.0665557
+0.0669777
+0.0674682
+0.0680257
+0.0686487
+0.0693353
+0.0699356
+0.0705353
+0.0711973
+0.07192
+0.0746059
+0.0735033
+0.0724502
+0.0714488
+0.0704951
+0.0695947
+0.0687524
+0.0679659
+0.0672414
+0.066581
+0.0659869
+0.064582
+0.0627666
+0.0609759
+0.0592121
+0.0574776
+0.0557711
+0.0540941
+0.0524551
+0.0508575
+0.0493056
+0.0478037
+0.0463567
+0.0449699
+0.043649
+0.0424002
+0.0412301
+0.0401455
+0.0390992
+0.0370345
+0.0349352
+0.0328404
+0.0307589
+0.0286938
+0.0266484
+0.0246135
+0.0226078
+0.0206241
+0.0186552
+0.0167416
+0.014876
+0.0130357
+0.011307
+0.00971299
+0.008299
+0.00711441
+0.0062877
+0.00563307
+0.00539041
+0.00547252
+0.00604657
+0.00704108
+0.00805938
+0.00934974
+0.0108032
+0.0122577
+0.0138959
+0.0156697
+0.0175379
+0.0194735
+0.0214582
+0.0234723
+0.025506
+0.0274883
+0.0294801
+0.0313259
+0.0331873
+0.0350867
+0.0370183
+0.0389774
+0.0409599
+0.0429622
+0.0448469
+0.0467563
+0.0486841
+0.0505801
+0.0524505
+0.0543441
+0.0562536
+0.0578182
+0.0582417
+0.0587439
+0.0593228
+0.0599728
+0.0606541
+0.0613724
+0.0621596
+0.0629905
+0.0638371
+0.0647469
+0.0654851
+0.0659139
+0.0664123
+0.0669787
+0.0676113
+0.0683032
+0.0688815
+0.0694902
+0.0701621
+0.0708829
+0.0736236
+0.0725062
+0.0714384
+0.0704226
+0.0694548
+0.0685408
+0.0676853
+0.0668872
+0.0661508
+0.0654795
+0.0648753
+0.06434
+0.0634517
+0.0616724
+0.0599204
+0.058198
+0.0565082
+0.0548537
+0.053238
+0.0516647
+0.0501378
+0.0486616
+0.0472408
+0.0458808
+0.0445869
+0.0433651
+0.0422218
+0.0409411
+0.0388167
+0.0366774
+0.0345442
+0.0324187
+0.0303024
+0.0281976
+0.0261005
+0.0240193
+0.0219593
+0.0199272
+0.0179326
+0.015946
+0.0139688
+0.0120654
+0.0102339
+0.00848318
+0.00692152
+0.00556253
+0.00449018
+0.0037562
+0.00348913
+0.00349617
+0.00414565
+0.00516419
+0.00633627
+0.00780392
+0.00920066
+0.0108581
+0.0126785
+0.0146009
+0.0165897
+0.018607
+0.0206108
+0.0225977
+0.0245822
+0.0264662
+0.0283081
+0.0301965
+0.0321234
+0.0340822
+0.0360677
+0.038074
+0.0399636
+0.0418674
+0.043794
+0.0457075
+0.0475853
+0.0494718
+0.0513765
+0.0533021
+0.0552475
+0.0569406
+0.0573833
+0.057893
+0.0584803
+0.0591059
+0.0597644
+0.060495
+0.0612952
+0.0621051
+0.0629636
+0.0638858
+0.06447
+0.0649055
+0.0654116
+0.0659865
+0.0666274
+0.0673234
+0.0678754
+0.0684895
+0.0691577
+0.0698882
+0.0726942
+0.0715622
+0.0704801
+0.0694503
+0.0684687
+0.0675414
+0.0666732
+0.0658628
+0.0651148
+0.0644327
+0.0638185
+0.0632743
+0.0628018
+0.0624027
+0.0606861
+0.0589862
+0.0573195
+0.0556892
+0.0540984
+0.0525509
+0.0510505
+0.0496014
+0.0482084
+0.0468764
+0.0455558
+0.044298
+0.0428269
+0.0406727
+0.0385225
+0.0363659
+0.0342133
+0.0320658
+0.0299246
+0.0277912
+0.0256673
+0.0235558
+0.0214601
+0.0193854
+0.0173393
+0.0152958
+0.0132456
+0.0112465
+0.009305
+0.00746924
+0.00568928
+0.00410201
+0.00287158
+0.00200455
+0.00155094
+0.00165235
+0.00239311
+0.00341549
+0.0047816
+0.00618469
+0.00786756
+0.00975422
+0.0117395
+0.0137653
+0.0157176
+0.0177116
+0.0196846
+0.021624
+0.0234369
+0.0253096
+0.0272298
+0.0291882
+0.0311774
+0.0331887
+0.0350846
+0.0369808
+0.0389029
+0.0408248
+0.0427278
+0.0446046
+0.046504
+0.0484252
+0.0503683
+0.0523311
+0.0543089
+0.0561319
+0.0565844
+0.0571134
+0.0576711
+0.0582634
+0.0589313
+0.0596721
+0.0604782
+0.0612812
+0.0621512
+0.0630852
+0.0635089
+0.063951
+0.0644645
+0.0650478
+0.0656979
+0.0663617
+0.066918
+0.0675306
+0.0682082
+0.0689488
+0.0717022
+0.0706202
+0.0695777
+0.0685343
+0.0675394
+0.0665991
+0.0657184
+0.0648961
+0.0641369
+0.0634443
+0.0628204
+0.0622675
+0.0617873
+0.0613815
+0.0610518
+0.0598441
+0.0582021
+0.0565971
+0.0550327
+0.0534825
+0.05197
+0.0504955
+0.0490712
+0.047705
+0.046402
+0.0448382
+0.042673
+0.0405106
+0.0383514
+0.0361845
+0.0340205
+0.03186
+0.029704
+0.0275535
+0.0254098
+0.0232749
+0.0211513
+0.019043
+0.0169557
+0.014898
+0.0127985
+0.0107347
+0.00871038
+0.00674256
+0.00480858
+0.00294681
+0.00140611
+0.000287553
+-0.000350041
+-0.000141681
+0.000539386
+0.00185
+0.00327369
+0.00500777
+0.00694026
+0.00888594
+0.0108294
+0.012835
+0.0147876
+0.0167494
+0.0185802
+0.0204283
+0.0223384
+0.024296
+0.0262903
+0.0283075
+0.0302119
+0.0320969
+0.0340141
+0.0359465
+0.0378641
+0.039745
+0.0416376
+0.043553
+0.0454933
+0.0474554
+0.0494367
+0.051435
+0.0534288
+0.0553533
+0.0558133
+0.0562992
+0.0568214
+0.0574225
+0.0581001
+0.0588514
+0.0596513
+0.0604653
+0.0613468
+0.0622353
+0.0626097
+0.0630581
+0.0635789
+0.0641702
+0.0648291
+0.0654554
+0.066009
+0.06663
+0.0673167
+0.0680669
+0.0707258
+0.0696418
+0.0686106
+0.0676226
+0.0666691
+0.0657164
+0.0648237
+0.0639899
+0.0632198
+0.062517
+0.0618838
+0.0613224
+0.0608348
+0.0604226
+0.0600876
+0.0598179
+0.0590558
+0.0574395
+0.0558591
+0.0543105
+0.0528074
+0.0513538
+0.0499539
+0.0486125
+0.0469679
+0.0447985
+0.0426313
+0.0404667
+0.0383034
+0.0361335
+0.0339662
+0.0318021
+0.029642
+0.0274866
+0.0253374
+0.0231959
+0.0210645
+0.0189466
+0.0168207
+0.0146837
+0.0125653
+0.0104727
+0.0083855
+0.00625241
+0.00417924
+0.00225269
+0.000327875
+-0.00127133
+-0.0020258
+-0.00199789
+-0.00105728
+0.000375563
+0.00206554
+0.00399917
+0.00595798
+0.00798513
+0.0098921
+0.0118531
+0.0137531
+0.0155578
+0.017451
+0.019407
+0.0214082
+0.0234299
+0.0253491
+0.0272183
+0.0291285
+0.0310726
+0.0329843
+0.0348963
+0.0367797
+0.0386876
+0.040624
+0.042585
+0.0445675
+0.0465686
+0.0485861
+0.050618
+0.0526229
+0.05428
+0.0550444
+0.0555036
+0.0560332
+0.0566427
+0.0573294
+0.0580812
+0.0588485
+0.0596735
+0.0605665
+0.0613956
+0.0617752
+0.0622296
+0.0627572
+0.0633563
+0.0640235
+0.0646002
+0.065161
+0.06579
+0.0664854
+0.0672449
+0.0698044
+0.0687059
+0.0676605
+0.0666663
+0.0657188
+0.0648189
+0.0639813
+0.0631467
+0.0623662
+0.0616537
+0.0610116
+0.060442
+0.0599472
+0.0595289
+0.0591889
+0.058915
+0.0587192
+0.0582803
+0.0567133
+0.0551888
+0.0537104
+0.052282
+0.0509078
+0.0491264
+0.0469705
+0.044818
+0.0426695
+0.0405254
+0.0383581
+0.0361914
+0.0340278
+0.031868
+0.0297126
+0.0275628
+0.0253981
+0.0232243
+0.021054
+0.0188884
+0.0167294
+0.0145798
+0.0124445
+0.0103319
+0.0082357
+0.00611743
+0.00395773
+0.00182438
+-0.00023515
+-0.00219451
+-0.0036674
+-0.00385531
+-0.00253585
+-0.000796393
+0.00119001
+0.00324047
+0.00500258
+0.00695618
+0.00896439
+0.0107128
+0.0125722
+0.0145244
+0.0165312
+0.0185633
+0.0204969
+0.0223483
+0.0242481
+0.026188
+0.0281111
+0.0300496
+0.0319333
+0.0338316
+0.0357626
+0.0377219
+0.0397055
+0.0417097
+0.0437319
+0.0457696
+0.0477563
+0.0497518
+0.0517367
+0.0532753
+0.0543306
+0.0547841
+0.0553206
+0.0559378
+0.0566234
+0.0573455
+0.0581156
+0.0589508
+0.0598546
+0.0606236
+0.061008
+0.061468
+0.0620021
+0.0626084
+0.0632835
+0.0638087
+0.0643764
+0.0650131
+0.0657166
+0.0664819
+0.0689404
+0.0678279
+0.0667687
+0.0657609
+0.0648075
+0.0638983
+0.0630485
+0.0622642
+0.0615479
+0.060857
+0.0602064
+0.0596292
+0.0591275
+0.0587034
+0.0583585
+0.0580808
+0.0578794
+0.0577471
+0.0574201
+0.0561295
+0.0546765
+0.0532741
+0.0513652
+0.0492099
+0.0470579
+0.0449029
+0.0427431
+0.0405729
+0.0383977
+0.0362244
+0.0340533
+0.0318848
+0.0297197
+0.0275585
+0.0254024
+0.0232528
+0.0211116
+0.0189817
+0.0168674
+0.0147725
+0.0126772
+0.0105903
+0.00842259
+0.00625123
+0.00409647
+0.00194789
+-0.000150744
+-0.00222052
+-0.00435353
+-0.0054102
+-0.00337662
+-0.00139602
+0.000245438
+0.00205127
+0.00415622
+0.00595605
+0.00771852
+0.00965789
+0.0116664
+0.0137194
+0.0156097
+0.0174944
+0.0193768
+0.0213098
+0.0232486
+0.0251802
+0.0271038
+0.0289901
+0.030913
+0.0328694
+0.0348537
+0.0368613
+0.0388888
+0.0409026
+0.0428883
+0.0448864
+0.0468887
+0.0488739
+0.0506418
+0.0523241
+0.0536848
+0.0541436
+0.0546864
+0.0553008
+0.0559543
+0.056675
+0.0574477
+0.0582925
+0.0592063
+0.0599177
+0.0603106
+0.0607759
+0.0613161
+0.061929
+0.0625806
+0.0630834
+0.0636576
+0.0643014
+0.0650095
+0.065772
+0.0681358
+0.06701
+0.0659377
+0.0649168
+0.0639509
+0.0630295
+0.0621678
+0.0613722
+0.0606454
+0.0599898
+0.0594074
+0.0588866
+0.0583786
+0.057949
+0.0575994
+0.0572992
+0.0570815
+0.0569474
+0.0568776
+0.0564698
+0.0557122
+0.0536639
+0.0514988
+0.049336
+0.0471584
+0.0449816
+0.0428062
+0.0406324
+0.0384606
+0.036291
+0.0341241
+0.0319604
+0.0298007
+0.0276459
+0.0254972
+0.0233563
+0.0212255
+0.0191083
+0.0169786
+0.0148609
+0.012768
+0.0107141
+0.00872712
+0.0067366
+0.00463149
+0.00252261
+0.000422994
+-0.00162613
+-0.00361433
+-0.00570214
+-0.00382696
+-0.00230061
+-0.000480346
+0.00133957
+0.00301138
+0.00485168
+0.00684988
+0.00891811
+0.0107326
+0.0126322
+0.0145229
+0.0164436
+0.0184051
+0.0203248
+0.0222945
+0.0241714
+0.0260816
+0.0280328
+0.0300171
+0.0320282
+0.0340265
+0.0360282
+0.0380282
+0.0400291
+0.0420489
+0.0440377
+0.0460416
+0.0478765
+0.0495559
+0.0512739
+0.0530267
+0.0535852
+0.0541234
+0.0547033
+0.0553638
+0.0560755
+0.0568564
+0.0577099
+0.0586328
+0.0592728
+0.0596855
+0.0601557
+0.0607013
+0.0613204
+0.0619185
+0.0624266
+0.0630068
+0.0636539
+0.0643579
+0.065128
+0.0673929
+0.0662544
+0.0651697
+0.0641365
+0.0631586
+0.0622256
+0.0613526
+0.0605464
+0.0598095
+0.0591447
+0.0585543
+0.0580402
+0.0575905
+0.0572199
+0.056882
+0.056578
+0.0563576
+0.0562218
+0.0561711
+0.0560037
+0.0556758
+0.0538298
+0.0516554
+0.0494824
+0.0473111
+0.0451416
+0.0429743
+0.0408094
+0.0386475
+0.0364891
+0.0343347
+0.0321852
+0.0300417
+0.0279054
+0.0257691
+0.0236343
+0.0215083
+0.0193907
+0.0172909
+0.0152069
+0.0131566
+0.0111597
+0.00909105
+0.00703447
+0.00509104
+0.00324843
+0.00117661
+-0.000918896
+-0.00282441
+-0.00444265
+-0.004835
+-0.00304543
+-0.00149365
+0.000172454
+0.00222516
+0.00403569
+0.00589144
+0.0077392
+0.00971122
+0.0116048
+0.0135838
+0.0154966
+0.0174613
+0.0193929
+0.0212809
+0.0232222
+0.0252044
+0.0271766
+0.0291549
+0.0311615
+0.0331793
+0.0351832
+0.0372081
+0.0392169
+0.0412223
+0.0432457
+0.0451545
+0.046829
+0.0485446
+0.0502972
+0.0520829
+0.0530934
+0.0536024
+0.0541878
+0.0548443
+0.0555561
+0.0563441
+0.0572052
+0.0580288
+0.0587026
+0.059135
+0.0596095
+0.0601601
+0.0607847
+0.0613275
+0.0618405
+0.0624228
+0.0630645
+0.063775
+0.064552
+0.0666923
+0.0655544
+0.0644579
+0.0634181
+0.0624333
+0.0614894
+0.0606058
+0.0597894
+0.0590431
+0.0583696
+0.0577713
+0.0572506
+0.0568092
+0.0564348
+0.0561421
+0.0559329
+0.0557099
+0.0555725
+0.0555212
+0.0555563
+0.0552759
+0.0540524
+0.0518873
+0.0497245
+0.0475642
+0.0454068
+0.0432528
+0.0411026
+0.038957
+0.0368167
+0.0346728
+0.0325321
+0.0303987
+0.0282739
+0.0261601
+0.0240532
+0.0219547
+0.019876
+0.0178243
+0.0157763
+0.0136723
+0.0116005
+0.0095818
+0.00764338
+0.00579896
+0.00378167
+0.00198441
+0.000230505
+-0.00161842
+-0.00349467
+-0.00490444
+-0.0040051
+-0.00249577
+-0.000641258
+0.00121414
+0.00286518
+0.00486631
+0.00683756
+0.00880873
+0.0107323
+0.0126073
+0.014538
+0.0164612
+0.018441
+0.0203794
+0.022315
+0.024294
+0.0263066
+0.0283456
+0.0303542
+0.0323847
+0.034418
+0.0364242
+0.0384504
+0.0404938
+0.0424732
+0.0441511
+0.0458623
+0.0476128
+0.0493984
+0.0512155
+0.0526534
+0.0531666
+0.0537567
+0.0544013
+0.0551188
+0.055913
+0.0566901
+0.0573404
+0.0580645
+0.058657
+0.0591395
+0.0596944
+0.0603239
+0.0608098
+0.0613236
+0.0618992
+0.0625463
+0.0632626
+0.0640458
+0.0660504
+0.0649022
+0.0638041
+0.0627591
+0.0617684
+0.0608231
+0.0599297
+0.0591041
+0.058349
+0.0576673
+0.0570616
+0.0565344
+0.0560879
+0.0557176
+0.0554211
+0.05521
+0.0550852
+0.0549868
+0.054935
+0.0549705
+0.0549525
+0.0543624
+0.0522102
+0.0500613
+0.0479163
+0.0457752
+0.0436294
+0.0414882
+0.0393524
+0.0372231
+0.0351013
+0.0329885
+0.0308865
+0.028788
+0.0267021
+0.0246344
+0.02259
+0.0205028
+0.0184176
+0.0163601
+0.0143421
+0.0123606
+0.0104525
+0.00853582
+0.00661922
+0.0048249
+0.00312879
+0.00132444
+-0.0005549
+-0.00244705
+-0.00422956
+-0.00524229
+-0.00353648
+-0.00171894
+0.00016828
+0.00215924
+0.00399687
+0.00589302
+0.00772454
+0.00964292
+0.0115725
+0.0135581
+0.015553
+0.017474
+0.0194521
+0.0214715
+0.0235216
+0.0255516
+0.0275877
+0.0296278
+0.0316568
+0.0336849
+0.0357322
+0.0377432
+0.0397082
+0.0415317
+0.0432356
+0.0449816
+0.046765
+0.0485818
+0.0504283
+0.0523009
+0.0528101
+0.0534016
+0.0540436
+0.0547658
+0.0554724
+0.0560661
+0.0567283
+0.0574601
+0.0582458
+0.0587475
+0.0593061
+0.0599217
+0.0603636
+0.0608695
+0.0614493
+0.062101
+0.0628224
+0.0636111
+0.0654677
+0.0643095
+0.0632061
+0.0621581
+0.0611598
+0.0602071
+0.0593201
+0.0584927
+0.0577297
+0.0570406
+0.0564282
+0.055895
+0.0554433
+0.0550687
+0.0547686
+0.054555
+0.0544288
+0.0543906
+0.0544304
+0.0544662
+0.05459
+0.0544727
+0.0526119
+0.0504715
+0.0483355
+0.0462047
+0.0440797
+0.0419615
+0.0398511
+0.0377499
+0.0356576
+0.0335697
+0.0314958
+0.0294388
+0.027382
+0.0252948
+0.0232266
+0.0211831
+0.0191689
+0.0171796
+0.0152451
+0.0133898
+0.0114529
+0.00961891
+0.00786154
+0.00607229
+0.00420862
+0.00227891
+0.000518598
+-0.00136039
+-0.00329963
+-0.00519742
+-0.00463993
+-0.0027192
+-0.000869754
+0.000978609
+0.00285922
+0.00475506
+0.00669809
+0.00869302
+0.0107171
+0.0126755
+0.0146479
+0.0166735
+0.0187334
+0.020794
+0.0228339
+0.0248474
+0.0268819
+0.0289392
+0.0310133
+0.0330073
+0.0349946
+0.0369884
+0.0389596
+0.0406752
+0.0424135
+0.044192
+0.0460061
+0.0478517
+0.0497253
+0.0516239
+0.0525153
+0.0531128
+0.0537728
+0.0543912
+0.0548923
+0.0554756
+0.0561382
+0.0568777
+0.0576908
+0.058435
+0.0589966
+0.0595495
+0.0599822
+0.0604913
+0.0610747
+0.0617303
+0.062456
+0.0632493
+0.0649528
+0.0637852
+0.0626726
+0.0616177
+0.0606177
+0.0596564
+0.0587611
+0.0579348
+0.0571805
+0.0564919
+0.0558735
+0.055335
+0.0548787
+0.0545001
+0.054197
+0.0539811
+0.0538535
+0.0538149
+0.0538654
+0.0540048
+0.0541709
+0.0542909
+0.0530765
+0.0509555
+0.0488407
+0.0467329
+0.0446331
+0.0425425
+0.0404578
+0.038381
+0.0363175
+0.0342699
+0.0321936
+0.0301211
+0.0280666
+0.0260343
+0.0240209
+0.0220337
+0.0200888
+0.0182
+0.0163252
+0.0144455
+0.0126502
+0.0109327
+0.00901941
+0.00706697
+0.00519391
+0.00337726
+0.00158502
+-0.000345056
+-0.0023198
+-0.0042294
+-0.00569321
+-0.00389655
+-0.00199712
+-9.3497e-05
+0.00190029
+0.00389259
+0.00588323
+0.00787399
+0.00991329
+0.011943
+0.0139763
+0.0160509
+0.0181024
+0.020124
+0.022159
+0.0242211
+0.0263041
+0.0283267
+0.0303043
+0.0323093
+0.0343328
+0.036316
+0.0381942
+0.0399203
+0.04169
+0.0434981
+0.04534
+0.0472116
+0.0491097
+0.0510312
+0.0523107
+0.052861
+0.0534116
+0.0538328
+0.0543391
+0.0549282
+0.0555974
+0.0563439
+0.0571646
+0.0580565
+0.0587643
+0.0592439
+0.0596789
+0.0601905
+0.0607768
+0.0614356
+0.0621647
+0.0629617
+0.0645007
+0.0633324
+0.0622117
+0.0611489
+0.0601471
+0.0591817
+0.0582791
+0.0574459
+0.0566851
+0.0559998
+0.0553878
+0.0548548
+0.0543964
+0.0540146
+0.0537087
+0.0534908
+0.053362
+0.0533231
+0.0533741
+0.0535147
+0.0537444
+0.0540509
+0.0536265
+0.0515282
+0.0494379
+0.0473567
+0.0452791
+0.0432119
+0.0411574
+0.0391026
+0.037028
+0.0349675
+0.0329239
+0.0308997
+0.0288883
+0.0269039
+0.024954
+0.0230474
+0.0211958
+0.0193083
+0.0174749
+0.0157016
+0.0139385
+0.0119433
+0.0100259
+0.00820073
+0.00629397
+0.00451085
+0.00256572
+0.0006261
+-0.00134856
+-0.00325472
+-0.00505889
+-0.00405549
+-0.00243438
+-0.00055081
+0.00134625
+0.00322421
+0.00526271
+0.00735772
+0.00936322
+0.0114322
+0.0134516
+0.0155071
+0.0175327
+0.0195718
+0.0216373
+0.0237252
+0.0256918
+0.0276842
+0.0297046
+0.0317475
+0.0337497
+0.0357652
+0.0374986
+0.0392553
+0.0410537
+0.0428886
+0.0447556
+0.0466507
+0.0485707
+0.0505127
+0.0521116
+0.0525965
+0.0529335
+0.0533585
+0.0538693
+0.0544634
+0.0551383
+0.0558909
+0.0567182
+0.057617
+0.0585839
+0.0590115
+0.0594481
+0.0599617
+0.0605502
+0.0612115
+0.0619433
+0.062743
+0.0641079
+0.0629323
+0.061812
+0.0607501
+0.0597471
+0.0587849
+0.0578761
+0.057037
+0.0562707
+0.0555802
+0.0549636
+0.0544265
+0.0539729
+0.0536052
+0.0533059
+0.0530864
+0.0529567
+0.0529174
+0.0529688
+0.0531106
+0.053342
+0.0536508
+0.0540406
+0.052185
+0.0501154
+0.0480564
+0.0460097
+0.0439413
+0.0418773
+0.0398267
+0.0377919
+0.0357711
+0.0337648
+0.0317828
+0.0298301
+0.0279127
+0.0260384
+0.024185
+0.0223221
+0.0205241
+0.0187684
+0.0168325
+0.0149014
+0.0130465
+0.011141
+0.00926891
+0.00746403
+0.00557845
+0.00353906
+0.00159434
+-0.000293733
+-0.00209923
+-0.00391284
+-0.0036985
+-0.00216775
+-0.000530027
+0.00119511
+0.00300647
+0.0049355
+0.00695083
+0.00901837
+0.0110251
+0.0130398
+0.0150457
+0.0170966
+0.0191784
+0.021208
+0.0231717
+0.0251702
+0.0271931
+0.0292401
+0.0312501
+0.0332684
+0.0351784
+0.0369195
+0.0387025
+0.0405255
+0.0423833
+0.0442715
+0.0461865
+0.048125
+0.0500843
+0.0519536
+0.052203
+0.0525426
+0.0529707
+0.0534852
+0.0540835
+0.0547631
+0.0555208
+0.0563535
+0.057258
+0.0582309
+0.0588506
+0.0592884
+0.0598034
+0.0603934
+0.0610564
+0.06179
+0.0625917
+0.0637879
+0.0626063
+0.0614801
+0.0604123
+0.0594062
+0.0584585
+0.0575446
+0.0567005
+0.0559296
+0.0552349
+0.0546193
+0.0540835
+0.0536271
+0.053257
+0.0529749
+0.05277
+0.0526395
+0.0526
+0.0526517
+0.0527943
+0.0530271
+0.0533377
+0.0537298
+0.0529109
+0.0508586
+0.048792
+0.0467368
+0.0446945
+0.0426667
+0.0406483
+0.0386468
+0.036667
+0.0347125
+0.0327878
+0.0308987
+0.0290519
+0.0271854
+0.0253537
+0.0235833
+0.0217259
+0.0197883
+0.0179036
+0.0160072
+0.0141233
+0.012282
+0.0104363
+0.00843471
+0.00652642
+0.00454073
+0.00272754
+0.000855853
+-0.00094463
+-0.00237423
+-0.00263194
+-0.00153016
+-0.000103197
+0.00154932
+0.00310078
+0.00494793
+0.00689603
+0.00886514
+0.0108186
+0.0127887
+0.0148205
+0.0168683
+0.0188338
+0.0207809
+0.0227721
+0.0247971
+0.0268467
+0.0288404
+0.0308608
+0.0328329
+0.0346395
+0.036463
+0.0382673
+0.04011
+0.0419862
+0.0438916
+0.0458224
+0.0477757
+0.0497488
+0.0516482
+0.051899
+0.0522406
+0.0526712
+0.0531886
+0.0537902
+0.0544734
+0.0552351
+0.0560721
+0.0569811
+0.0579459
+0.058771
+0.0592094
+0.059725
+0.0603158
+0.0609797
+0.0617142
+0.0625169
+0.0635312
+0.0623481
+0.0612205
+0.0601515
+0.059142
+0.0581964
+0.0572933
+0.0564455
+0.0556711
+0.0549731
+0.0543545
+0.053818
+0.0533661
+0.0529971
+0.0527136
+0.0525201
+0.052412
+0.0523723
+0.0524242
+0.0525674
+0.0528013
+0.0531132
+0.0535069
+0.0536514
+0.0516037
+0.0495683
+0.0475446
+0.04553
+0.0435325
+0.0415545
+0.0395988
+0.0376691
+0.0357694
+0.0339048
+0.0320583
+0.0302044
+0.0283985
+0.0266212
+0.024679
+0.0227785
+0.0208885
+0.0190004
+0.017123
+0.0153189
+0.0133319
+0.0114034
+0.00942849
+0.00751608
+0.00570029
+0.00379641
+0.00196292
+0.00036451
+-0.00100294
+-0.00143529
+-0.000545453
+0.000717182
+0.00212623
+0.00369386
+0.0053434
+0.00709731
+0.00900101
+0.0108413
+0.0127618
+0.0147381
+0.0166775
+0.0185922
+0.0205621
+0.0225727
+0.0245842
+0.0265738
+0.0285747
+0.0305296
+0.0323811
+0.0342115
+0.0360821
+0.0379537
+0.039811
+0.0417007
+0.0436185
+0.0455609
+0.0475249
+0.049508
+0.0514229
+0.0516749
+0.0520179
+0.0524503
+0.0529698
+0.053574
+0.0542599
+0.0550245
+0.0558647
+0.0567743
+0.0577393
+0.0587701
+0.0592114
+0.059727
+0.0603178
+0.0609816
+0.0617161
+0.0625187
+0.0633397
+0.0621568
+0.0610276
+0.0599552
+0.0589448
+0.0579961
+0.057091
+0.0562567
+0.0554948
+0.0547977
+0.0541771
+0.0536388
+0.0531854
+0.0528191
+0.0525416
+0.0523483
+0.0522453
+0.0522299
+0.052282
+0.0524256
+0.0526601
+0.0529784
+0.0533731
+0.0538487
+0.052425
+0.0504151
+0.0484208
+0.0464443
+0.0444879
+0.0425543
+0.0406468
+0.0387692
+0.0369262
+0.0350684
+0.033238
+0.0314537
+0.0295723
+0.0276617
+0.0257764
+0.0238744
+0.0219895
+0.0201525
+0.0182294
+0.0162933
+0.0143187
+0.0123656
+0.0104819
+0.00868235
+0.006726
+0.00491896
+0.00318665
+0.00165842
+0.000533062
+-1.09936e-05
+0.000643907
+0.00174188
+0.00296876
+0.00440097
+0.00592429
+0.00758181
+0.00924957
+0.0110863
+0.0129025
+0.0147719
+0.0166732
+0.0185982
+0.0205426
+0.0224954
+0.0244739
+0.0264221
+0.0283562
+0.0302716
+0.0320728
+0.0339198
+0.0358057
+0.0377245
+0.039631
+0.0415288
+0.0434542
+0.0454037
+0.0473742
+0.0493634
+0.0512837
+0.0515363
+0.0518803
+0.0523138
+0.0528347
+0.0534403
+0.054128
+0.0548944
+0.0557365
+0.0566483
+0.0576153
+0.0586483
+0.0592943
+0.0598092
+0.0603992
+0.0610622
+0.0617957
+0.0625973
+0.063204
+0.0620293
+0.0608998
+0.0598292
+0.0588208
+0.0578754
+0.0569684
+0.0561323
+0.0553702
+0.0546854
+0.0540715
+0.053537
+0.0530875
+0.0527253
+0.0524486
+0.0522611
+0.0521647
+0.0521535
+0.0522192
+0.052363
+0.0525977
+0.0529222
+0.0533291
+0.053805
+0.053311
+0.0513358
+0.0493788
+0.0474422
+0.0455287
+0.0436412
+0.0417834
+0.0399409
+0.0380926
+0.0362825
+0.0344671
+0.0325495
+0.0306666
+0.0287554
+0.0268677
+0.0250052
+0.0231271
+0.0211872
+0.0191995
+0.0172427
+0.0153374
+0.013492
+0.011585
+0.00968552
+0.00792724
+0.00615806
+0.00458953
+0.00319494
+0.0021193
+0.00144926
+0.00176517
+0.00278745
+0.00389788
+0.00519678
+0.00662706
+0.00821875
+0.00979364
+0.0114638
+0.0131939
+0.0149512
+0.0168097
+0.0187258
+0.0206174
+0.0225439
+0.0244184
+0.0262719
+0.0281738
+0.0301015
+0.0319123
+0.0337681
+0.0356619
+0.0375881
+0.0395418
+0.0414722
+0.0434001
+0.0453519
+0.0473246
+0.0493157
+0.0512378
+0.0514907
+0.0518349
+0.0522688
+0.0527902
+0.0533963
+0.0540845
+0.0548516
+0.0556943
+0.0566067
+0.0575745
+0.0586082
+0.059458
+0.0599714
+0.0605599
+0.061221
+0.0619527
+0.0627523
+0.0631399
+0.0619682
+0.0608485
+0.059777
+0.0587677
+0.0578238
+0.0569299
+0.0560932
+0.0553306
+0.0546453
+0.0540401
+0.0535133
+0.0530637
+0.0527013
+0.0524245
+0.0522369
+0.0521407
+0.0521364
+0.0522237
+0.0523912
+0.0526266
+0.0529509
+0.053361
+0.0538421
+0.0542711
+0.0523322
+0.0504139
+0.0485186
+0.0466492
+0.044809
+0.0429572
+0.0411278
+0.0393354
+0.0374401
+0.0355463
+0.0336415
+0.0317521
+0.0298729
+0.0280248
+0.0260828
+0.0240876
+0.0221292
+0.0202137
+0.0183236
+0.0164621
+0.0145395
+0.012704
+0.0109264
+0.00920083
+0.00761083
+0.00606199
+0.00475495
+0.00367366
+0.00302996
+0.0030682
+0.00387198
+0.00487121
+0.00610746
+0.00741816
+0.0088768
+0.0105053
+0.0120256
+0.0136529
+0.0153298
+0.0170916
+0.0189432
+0.0207987
+0.0225281
+0.0243284
+0.0261882
+0.0280958
+0.0300421
+0.0319017
+0.0337581
+0.0356525
+0.0375791
+0.0395332
+0.0414964
+0.0434514
+0.0454058
+0.0473763
+0.0491062
+0.0504639
+0.0515382
+0.0518821
+0.0523156
+0.0528365
+0.0534422
+0.0541297
+0.0548962
+0.0557383
+0.05665
+0.057617
+0.05865
+0.0597016
+0.060213
+0.0607991
+0.0614577
+0.0621865
+0.0629832
+0.0631518
+0.0619803
+0.0608652
+0.0597978
+0.0587888
+0.0578453
+0.0569703
+0.0561396
+0.0553777
+0.0546929
+0.0540883
+0.0535665
+0.0531294
+0.0527683
+0.0524919
+0.0523045
+0.0522084
+0.0522041
+0.0522913
+0.0524586
+0.0527165
+0.0530636
+0.0534793
+0.0539593
+0.0545233
+0.0533998
+0.0515213
+0.0496683
+0.0478287
+0.0459844
+0.0441718
+0.0423326
+0.0404305
+0.0385307
+0.0366359
+0.0347492
+0.0328953
+0.0309692
+0.0289791
+0.0270201
+0.0250931
+0.0231833
+0.0213269
+0.0194158
+0.0175435
+0.0157251
+0.01394
+0.0122606
+0.0105348
+0.00898086
+0.00761026
+0.006311
+0.00527814
+0.00464245
+0.00457086
+0.00506617
+0.00597898
+0.00709148
+0.00830017
+0.00962614
+0.0110597
+0.0125665
+0.0141569
+0.0157856
+0.01751
+0.0192162
+0.0209236
+0.0226435
+0.0244352
+0.0262875
+0.0281884
+0.0301286
+0.0320275
+0.0338506
+0.0357151
+0.0376071
+0.0395256
+0.0414697
+0.0434259
+0.0450265
+0.0462966
+0.0476337
+0.0490323
+0.0504561
+0.0518556
+0.052317
+0.0528652
+0.0534976
+0.0542053
+0.0549876
+0.0558449
+0.0567738
+0.0577427
+0.0587734
+0.0598666
+0.0605329
+0.0611159
+0.0617711
+0.0624963
+0.0632891
+0.063215
+0.0620447
+0.0609308
+0.0598762
+0.0588831
+0.0579411
+0.0570676
+0.056266
+0.0555112
+0.0548281
+0.054225
+0.0537045
+0.0532691
+0.0529209
+0.0526466
+0.0524597
+0.0523639
+0.0523597
+0.052447
+0.0526172
+0.0528743
+0.0532204
+0.0536538
+0.054165
+0.0547268
+0.0545347
+0.0526966
+0.0508491
+0.0490205
+0.0472228
+0.0453178
+0.043422
+0.0415193
+0.039631
+0.0377626
+0.0358589
+0.0338727
+0.0319133
+0.0299765
+0.0280565
+0.026179
+0.0243011
+0.0224086
+0.0205209
+0.0186877
+0.0169249
+0.0151914
+0.0134848
+0.0119051
+0.0104612
+0.00912505
+0.00792391
+0.00699934
+0.00633444
+0.00613262
+0.00640365
+0.00718499
+0.00820158
+0.00937976
+0.0105813
+0.0118663
+0.0132981
+0.0147843
+0.0163386
+0.0179837
+0.0195623
+0.0212498
+0.0229681
+0.0247364
+0.0265677
+0.0284499
+0.0303224
+0.0321134
+0.0339513
+0.0358183
+0.0377052
+0.0396187
+0.041096
+0.0422749
+0.0435164
+0.0448294
+0.0462089
+0.0476493
+0.0491133
+0.050624
+0.0521829
+0.0528297
+0.0534625
+0.0541705
+0.0549533
+0.0558111
+0.0567406
+0.0577382
+0.0587907
+0.0598991
+0.0609299
+0.0615092
+0.0621602
+0.062881
+0.0636689
+0.0633492
+0.0621814
+0.0610699
+0.0600179
+0.0590284
+0.0581047
+0.0572487
+0.0564496
+0.0557252
+0.0550502
+0.0544496
+0.0539313
+0.0534977
+0.053151
+0.0528865
+0.0527005
+0.0526051
+0.0526009
+0.0526879
+0.0528655
+0.0531221
+0.0534666
+0.053898
+0.0544142
+0.0550129
+0.055645
+0.0538782
+0.0520639
+0.0502073
+0.0483149
+0.0464059
+0.0445165
+0.042637
+0.0407507
+0.0387676
+0.036808
+0.0348637
+0.0329372
+0.0310364
+0.0291392
+0.0272665
+0.0253559
+0.0234944
+0.0216814
+0.0199314
+0.0181778
+0.0164892
+0.014897
+0.013348
+0.0119162
+0.0106654
+0.00957385
+0.00866506
+0.00801568
+0.00772045
+0.00788223
+0.00849467
+0.0093621
+0.0104889
+0.0116653
+0.012916
+0.014196
+0.0155844
+0.0170242
+0.018557
+0.0201422
+0.0217848
+0.0234934
+0.0252249
+0.027
+0.0287444
+0.0305435
+0.032347
+0.0341703
+0.0360271
+0.0373831
+0.0384311
+0.0395719
+0.0407806
+0.0420662
+0.0434231
+0.0448459
+0.0463247
+0.04783
+0.049383
+0.0509799
+0.0526186
+0.0535043
+0.0542082
+0.0549904
+0.0558476
+0.0567765
+0.0577735
+0.0588245
+0.0599323
+0.0610986
+0.0619774
+0.0626236
+0.0633391
+0.0641214
+0.0635586
+0.0623947
+0.0612871
+0.0602389
+0.0592531
+0.058333
+0.0574816
+0.0567022
+0.055982
+0.0553215
+0.0547298
+0.0542141
+0.0537829
+0.053438
+0.0531812
+0.0530137
+0.0529359
+0.0529318
+0.0530182
+0.0531947
+0.0534586
+0.0538009
+0.0542297
+0.0547428
+0.0553379
+0.0560125
+0.0550984
+0.0532017
+0.0512947
+0.0494038
+0.0475165
+0.045644
+0.0436632
+0.0417035
+0.0397537
+0.0378225
+0.0359009
+0.0339928
+0.0321208
+0.0302115
+0.028327
+0.0264727
+0.0246736
+0.0229139
+0.021173
+0.0194611
+0.0178292
+0.0162512
+0.0148113
+0.0135109
+0.0122897
+0.0112238
+0.0103452
+0.0097354
+0.0093622
+0.00941687
+0.00984068
+0.010571
+0.0116037
+0.0127995
+0.0139608
+0.0151494
+0.0164279
+0.0178554
+0.0193204
+0.0208417
+0.02241
+0.0240587
+0.025686
+0.0273524
+0.0290654
+0.0308305
+0.0326472
+0.0339721
+0.0348477
+0.035836
+0.0369279
+0.0380981
+0.0393515
+0.0406824
+0.0420839
+0.0435354
+0.0450306
+0.0465777
+0.0481747
+0.0498169
+0.0515
+0.05322
+0.0543333
+0.0551137
+0.0559691
+0.056896
+0.057891
+0.0589399
+0.0600455
+0.0612096
+0.0624289
+0.0631052
+0.063757
+0.0644723
+0.0638425
+0.062684
+0.0615816
+0.0605384
+0.0595576
+0.0586422
+0.0577954
+0.0570203
+0.0563044
+0.0556477
+0.0550704
+0.054575
+0.0541524
+0.0538099
+0.0535549
+0.0533887
+0.053312
+0.0533252
+0.0534284
+0.0536115
+0.0538753
+0.0542218
+0.0546472
+0.0551564
+0.0557472
+0.056381
+0.0558108
+0.0542879
+0.0523994
+0.0505283
+0.0485595
+0.0465997
+0.0446456
+0.0427109
+0.0407735
+0.0388576
+0.0369724
+0.035079
+0.0331712
+0.0312972
+0.0294665
+0.0276585
+0.0258852
+0.0241229
+0.0224275
+0.0208049
+0.0192153
+0.0177519
+0.0163954
+0.0150639
+0.0138827
+0.0129048
+0.0120593
+0.0113927
+0.0110204
+0.0110138
+0.0113594
+0.0119945
+0.0129149
+0.0140455
+0.015154
+0.0162737
+0.0174957
+0.0187742
+0.0201431
+0.0215812
+0.0230956
+0.0246607
+0.0262202
+0.0278491
+0.0295298
+0.0309629
+0.031619
+0.0324102
+0.0333268
+0.0343589
+0.0354834
+0.0366954
+0.0379952
+0.0393551
+0.0407794
+0.0422693
+0.0438078
+0.0453966
+0.0470338
+0.0487145
+0.0504343
+0.0521894
+0.0539764
+0.0553236
+0.0561758
+0.0570993
+0.0580909
+0.0591362
+0.0602382
+0.0613987
+0.0626143
+0.0634599
+0.0640659
+0.0647248
+0.0641951
+0.0630452
+0.0619513
+0.0609153
+0.0599406
+0.0590312
+0.0581901
+0.0574203
+0.0567096
+0.0560577
+0.0554846
+0.054993
+0.0545848
+0.0542621
+0.054015
+0.0538501
+0.0537741
+0.0537873
+0.0538895
+0.0540804
+0.054359
+0.0547079
+0.0551408
+0.0556533
+0.0562388
+0.0567691
+0.0562003
+0.0554057
+0.0534561
+0.0514963
+0.0495388
+0.0475964
+0.0456516
+0.04373
+0.0418349
+0.0399478
+0.0380292
+0.0361416
+0.0342842
+0.0324489
+0.0306504
+0.0288465
+0.0270996
+0.025412
+0.0237776
+0.022209
+0.0206638
+0.019234
+0.0178761
+0.0166237
+0.0155454
+0.0145934
+0.0137603
+0.0131389
+0.0127849
+0.0127488
+0.0130165
+0.0135801
+0.0143623
+0.0154177
+0.0164737
+0.0174387
+0.0185481
+0.0197883
+0.0211282
+0.022498
+0.0239501
+0.0254066
+0.0269071
+0.0281753
+0.0287003
+0.02937
+0.0300873
+0.0309177
+0.0318773
+0.0329525
+0.0341139
+0.0353598
+0.0366777
+0.0380761
+0.0395465
+0.0410812
+0.0426626
+0.0442925
+0.045969
+0.0476872
+0.0494428
+0.0512319
+0.0530512
+0.0548851
+0.056462
+0.0573809
+0.0583676
+0.0594127
+0.0605097
+0.0616651
+0.0628755
+0.0637334
+0.0641841
+0.0646841
+0.0646106
+0.0634682
+0.0623818
+0.0613532
+0.0603856
+0.059483
+0.0586483
+0.0578846
+0.0571946
+0.0565496
+0.0559816
+0.0554943
+0.0550899
+0.0547702
+0.0545366
+0.054388
+0.0543127
+0.0543257
+0.054427
+0.054616
+0.0548919
+0.0552453
+0.055674
+0.0561849
+0.0567758
+0.0572344
+0.0566687
+0.0561827
+0.0544458
+0.0524805
+0.0505337
+0.0486076
+0.0467049
+0.0448209
+0.0428965
+0.0409989
+0.039122
+0.0372674
+0.0354511
+0.0336202
+0.0318338
+0.0300933
+0.0283793
+0.0267351
+0.025106
+0.0235441
+0.0220892
+0.020741
+0.0194432
+0.018257
+0.0172223
+0.0163242
+0.0155529
+0.0149481
+0.0146171
+0.014566
+0.0147544
+0.015223
+0.0159392
+0.0168758
+0.0177795
+0.0186672
+0.0197109
+0.0209136
+0.0222359
+0.0235789
+0.0249036
+0.0257603
+0.025991
+0.0264021
+0.0269602
+0.027672
+0.0285347
+0.0294989
+0.0305032
+0.0316195
+0.0327954
+0.0340717
+0.0354375
+0.036883
+0.0383991
+0.0399778
+0.0416013
+0.0432711
+0.0449857
+0.0467401
+0.04853
+0.0503515
+0.0522015
+0.0540531
+0.0559132
+0.0577168
+0.0586979
+0.0597433
+0.0608469
+0.061996
+0.0632001
+0.0635779
+0.0640078
+0.0645054
+0.0650972
+0.0639618
+0.0628818
+0.0618606
+0.060901
+0.0600062
+0.0591789
+0.0584221
+0.0577386
+0.057116
+0.0565537
+0.0560714
+0.0556712
+0.0553548
+0.0551237
+0.0549791
+0.0549215
+0.0549374
+0.0550375
+0.0552244
+0.0554973
+0.0558548
+0.0562875
+0.0567929
+0.0573775
+0.057751
+0.0571904
+0.0567089
+0.0554187
+0.0534891
+0.0515803
+0.0496949
+0.0477702
+0.045865
+0.0439733
+0.0421043
+0.0402679
+0.0384253
+0.0366112
+0.0348253
+0.0330664
+0.0313619
+0.0296921
+0.0280435
+0.0264737
+0.0249974
+0.0236131
+0.0223
+0.0210599
+0.0199566
+0.0189885
+0.01812
+0.0173595
+0.0168063
+0.0164754
+0.0163945
+0.0165572
+0.0169755
+0.0175858
+0.0183904
+0.0191755
+0.0200298
+0.0210286
+0.022154
+0.023288
+0.0240547
+0.0239424
+0.0240075
+0.0242552
+0.0246954
+0.0252875
+0.0260451
+0.0269599
+0.0280165
+0.0291994
+0.0303308
+0.0315547
+0.0328792
+0.0342926
+0.0357843
+0.0373451
+0.0389665
+0.0406294
+0.0423382
+0.0440894
+0.0458781
+0.0477004
+0.0495524
+0.0514076
+0.05327
+0.0551565
+0.0570648
+0.0588734
+0.0601458
+0.0612448
+0.0623989
+0.0631153
+0.0634728
+0.0639024
+0.0643902
+0.0656492
+0.0645231
+0.0634526
+0.0624407
+0.0614902
+0.0606041
+0.0597851
+0.0590361
+0.0583522
+0.0577349
+0.057193
+0.0567161
+0.0563205
+0.0560078
+0.0557794
+0.0556365
+0.0555795
+0.0556089
+0.0557232
+0.0559084
+0.0561778
+0.0565309
+0.0569662
+0.0574779
+0.0580556
+0.0583453
+0.0577905
+0.0573141
+0.0564598
+0.054567
+0.0526485
+0.0507373
+0.048834
+0.046949
+0.0450863
+0.0432514
+0.0414169
+0.0395979
+0.0378072
+0.0360606
+0.0343645
+0.032658
+0.0310123
+0.0294378
+0.0279463
+0.0265361
+0.0252038
+0.0239136
+0.0227545
+0.0217199
+0.0207719
+0.0199394
+0.0192152
+0.0187039
+0.0183844
+0.0182947
+0.0184207
+0.0187482
+0.0192815
+0.0199862
+0.0206862
+0.0214894
+0.0224496
+0.0231761
+0.0226737
+0.0223408
+0.0222199
+0.0223024
+0.0225688
+0.0230413
+0.0236923
+0.0244993
+0.0254696
+0.0265855
+0.0278294
+0.0291499
+0.0304214
+0.0317931
+0.0332527
+0.0347891
+0.0363847
+0.0380329
+0.0397335
+0.0414801
+0.0432672
+0.0450898
+0.046944
+0.0488154
+0.0506784
+0.0525666
+0.0544775
+0.0561397
+0.0577619
+0.0594205
+0.0611126
+0.0627905
+0.0630737
+0.0634314
+0.0638612
+0.0643494
+0.0662686
+0.0651532
+0.0640933
+0.0630917
+0.0621511
+0.0612745
+0.0604646
+0.0597218
+0.0590375
+0.0584275
+0.057894
+0.0574372
+0.0570465
+0.0567379
+0.0565125
+0.0563713
+0.0563152
+0.0563442
+0.0564582
+0.056656
+0.0569228
+0.0572713
+0.057701
+0.05821
+0.0587962
+0.059011
+0.0584625
+0.0579916
+0.05753
+0.0556041
+0.0536896
+0.0517913
+0.0499169
+0.0480693
+0.0462349
+0.0443921
+0.0425823
+0.0408063
+0.039071
+0.0373449
+0.0356463
+0.0340042
+0.0324269
+0.030907
+0.029451
+0.0280905
+0.0268103
+0.0255992
+0.024487
+0.0234707
+0.0225856
+0.0217809
+0.0211234
+0.0206343
+0.0203195
+0.0202076
+0.0202717
+0.0205694
+0.0210214
+0.0216442
+0.0222783
+0.023026
+0.0223146
+0.0215837
+0.0210506
+0.0207036
+0.0205731
+0.0206752
+0.0209689
+0.0214766
+0.022172
+0.0230442
+0.0240846
+0.0252624
+0.0265683
+0.0279781
+0.0293851
+0.0308031
+0.0323074
+0.0338861
+0.0355156
+0.0372023
+0.0389392
+0.0407199
+0.0425389
+0.0443915
+0.0462736
+0.0481467
+0.0500346
+0.0518739
+0.0534459
+0.0550602
+0.0567132
+0.0584016
+0.0601224
+0.0618729
+0.0631081
+0.0634656
+0.0638952
+0.0643831
+0.066914
+0.0658495
+0.064801
+0.0638105
+0.0628807
+0.0620144
+0.0612143
+0.060471
+0.0597954
+0.0591931
+0.0586666
+0.0582177
+0.0578465
+0.0575421
+0.0573199
+0.0571808
+0.0571254
+0.057154
+0.0572665
+0.0574623
+0.0577401
+0.058085
+0.0585087
+0.0590107
+0.059589
+0.0597381
+0.0591964
+0.0587314
+0.0583449
+0.0566432
+0.0547596
+0.0528997
+0.051061
+0.0492039
+0.0473754
+0.0455787
+0.0438167
+0.0420606
+0.0403331
+0.0386442
+0.0369934
+0.0354013
+0.0338599
+0.0323884
+0.031002
+0.0296988
+0.028469
+0.0272819
+0.0261908
+0.025237
+0.0244287
+0.0236572
+0.0230059
+0.0225489
+0.0222196
+0.0221034
+0.0221702
+0.0224058
+0.0228212
+0.0233432
+0.0229353
+0.0218088
+0.0208523
+0.0200818
+0.0195076
+0.0191577
+0.0190167
+0.0191271
+0.0194737
+0.0200193
+0.0207673
+0.021696
+0.0227981
+0.0240398
+0.0254085
+0.0268785
+0.0284287
+0.0299322
+0.0314782
+0.0330964
+0.034763
+0.0364845
+0.038254
+0.0400652
+0.0419126
+0.0437917
+0.0456848
+0.0475695
+0.0492391
+0.0507982
+0.0524025
+0.0540479
+0.055731
+0.0574483
+0.0591968
+0.0609739
+0.0627771
+0.0635753
+0.0640042
+0.0644913
+0.0672555
+0.0666019
+0.0655654
+0.0645866
+0.0636682
+0.0628127
+0.0620229
+0.0612895
+0.0606229
+0.060029
+0.0595098
+0.0590674
+0.0587034
+0.0584175
+0.0581986
+0.0580616
+0.0580071
+0.0580353
+0.058146
+0.0583388
+0.058613
+0.0589671
+0.0593862
+0.0598808
+0.0604509
+0.0605358
+0.0600013
+0.0595425
+0.0581887
+0.0564341
+0.0547109
+0.0530222
+0.051367
+0.0497425
+0.0481621
+0.0466311
+0.0450347
+0.043315
+0.0416266
+0.0399786
+0.0383626
+0.0368028
+0.03531
+0.0338929
+0.0325347
+0.0312712
+0.0300706
+0.0289336
+0.0279223
+0.0270124
+0.026224
+0.0254867
+0.0248865
+0.0244482
+0.0241446
+0.0240377
+0.0240874
+0.0243009
+0.0244929
+0.0230443
+0.0217162
+0.0205229
+0.0195034
+0.0186773
+0.0180586
+0.0176913
+0.0175639
+0.0176834
+0.0180689
+0.01866
+0.0194768
+0.0204775
+0.0216532
+0.0229606
+0.02439
+0.0259178
+0.0275222
+0.0292
+0.0307828
+0.0324358
+0.0341346
+0.0358863
+0.0376839
+0.0395212
+0.0413904
+0.0432866
+0.0451719
+0.0466613
+0.0482042
+0.0497957
+0.0514312
+0.0531068
+0.0548187
+0.0565637
+0.0583388
+0.0601412
+0.0619687
+0.063736
+0.0641649
+0.0646651
+0.067662
+0.0672911
+0.0663933
+0.0654269
+0.0645204
+0.0636764
+0.0628975
+0.0621743
+0.0615174
+0.0609322
+0.0604208
+0.059985
+0.0596267
+0.0593471
+0.0591455
+0.0590107
+0.058957
+0.0589847
+0.0590937
+0.0592835
+0.0595533
+0.059902
+0.0603223
+0.0608094
+0.0613709
+0.0614014
+0.0608744
+0.0595035
+0.0577057
+0.0559354
+0.0541903
+0.0524773
+0.0508009
+0.0491578
+0.0475579
+0.0460068
+0.0445094
+0.0430715
+0.0416991
+0.040399
+0.0391783
+0.0380447
+0.0367933
+0.0354146
+0.0341171
+0.032901
+0.0317176
+0.0306132
+0.0296298
+0.0287673
+0.0280278
+0.0273628
+0.0268047
+0.0263815
+0.0261005
+0.0260016
+0.0260445
+0.0251388
+0.0235291
+0.0220172
+0.0206275
+0.0193862
+0.0182956
+0.0174019
+0.0167459
+0.0163497
+0.0162375
+0.0163692
+0.0167858
+0.0174691
+0.0183401
+0.0193997
+0.0206369
+0.0220211
+0.0235077
+0.0250978
+0.0267647
+0.0284901
+0.0302306
+0.0319121
+0.0336355
+0.035405
+0.0372194
+0.0390724
+0.0409587
+0.0426858
+0.0441504
+0.045673
+0.0472482
+0.0488708
+0.0505363
+0.0522406
+0.05398
+0.0557513
+0.0575514
+0.0593778
+0.061228
+0.0631001
+0.0643216
+0.0648206
+0.0681136
+0.0677452
+0.0672824
+0.0663289
+0.065435
+0.0646029
+0.0638353
+0.0631201
+0.0624731
+0.0618969
+0.0613935
+0.0609648
+0.0606122
+0.0603372
+0.0601407
+0.0600095
+0.0599567
+0.0599839
+0.0600911
+0.0602777
+0.0605431
+0.0608862
+0.0613057
+0.061794
+0.0623466
+0.0623319
+0.0609476
+0.0591109
+0.057294
+0.0555039
+0.0537435
+0.0520157
+0.050324
+0.0486647
+0.0470481
+0.0454795
+0.0439643
+0.0425079
+0.0411167
+0.0397975
+0.0385578
+0.0374054
+0.0363474
+0.0353876
+0.0345231
+0.0337776
+0.0331603
+0.0323238
+0.031394
+0.0305647
+0.0298697
+0.0292827
+0.0287618
+0.0283523
+0.028091
+0.0278973
+0.0260928
+0.0243517
+0.0226887
+0.0211203
+0.0196673
+0.0183613
+0.0172357
+0.0163014
+0.0155963
+0.0151697
+0.0150528
+0.0152061
+0.0156536
+0.0163819
+0.0173546
+0.0184922
+0.0198067
+0.0212496
+0.0227867
+0.0244237
+0.0261364
+0.0279107
+0.0297355
+0.031509
+0.0332474
+0.0350366
+0.0368691
+0.0387388
+0.0402829
+0.0417185
+0.0432158
+0.0447702
+0.0463761
+0.0480282
+0.0497219
+0.0514532
+0.0532184
+0.0550141
+0.0568376
+0.0586862
+0.0605576
+0.0624498
+0.0643609
+0.0650496
+0.0686137
+0.0682665
+0.0679695
+0.0672902
+0.0664092
+0.0655895
+0.0648305
+0.064126
+0.0634892
+0.0629223
+0.0624272
+0.0620056
+0.061659
+0.0613886
+0.0611955
+0.0610703
+0.0610185
+0.0610452
+0.0611505
+0.0613339
+0.0615948
+0.061932
+0.0623445
+0.0628307
+0.063383
+0.0625087
+0.0606351
+0.0587834
+0.0569559
+0.0551548
+0.0533828
+0.051643
+0.0499347
+0.0482613
+0.0466307
+0.0450476
+0.0435173
+0.0420455
+0.0406384
+0.0393015
+0.0380398
+0.0368651
+0.0357861
+0.0348116
+0.0339508
+0.033201
+0.0325728
+0.0320821
+0.0317354
+0.0315375
+0.031491
+0.0312092
+0.0307486
+0.0303533
+0.0292309
+0.0273491
+0.0255167
+0.0237414
+0.0220324
+0.0204109
+0.0189034
+0.0175406
+0.0163586
+0.0153828
+0.0146253
+0.0141693
+0.0140441
+0.0142584
+0.0147415
+0.015515
+0.0165424
+0.0177755
+0.0191393
+0.0206394
+0.0222228
+0.0239017
+0.0256549
+0.0274709
+0.0293233
+0.0312148
+0.0330005
+0.0348024
+0.0366466
+0.0379771
+0.0393784
+0.0408458
+0.0423739
+0.0439582
+0.0455926
+0.0472721
+0.048992
+0.0507482
+0.0525371
+0.0543553
+0.0562002
+0.058069
+0.0599597
+0.0618702
+0.0637987
+0.0653512
+0.0691709
+0.0688352
+0.0685591
+0.0683083
+0.0674406
+0.0666336
+0.0658831
+0.06519
+0.0645637
+0.0640063
+0.0635197
+0.0631054
+0.0627648
+0.0624992
+0.0623096
+0.0621903
+0.0621394
+0.0621656
+0.062269
+0.0624492
+0.0627054
+0.0630367
+0.063442
+0.0639198
+0.0641764
+0.0622759
+0.0603952
+0.0585359
+0.0567004
+0.0548909
+0.053104
+0.051347
+0.0496245
+0.0479402
+0.0462983
+0.0447034
+0.0431609
+0.0416765
+0.0402566
+0.0389065
+0.0376315
+0.0364437
+0.0353518
+0.0343651
+0.0334927
+0.032744
+0.0321118
+0.0316126
+0.0312593
+0.0310569
+0.0310083
+0.0311143
+0.0313692
+0.0308043
+0.0288589
+0.0269512
+0.0250897
+0.0232855
+0.0215373
+0.0198744
+0.0183229
+0.0169133
+0.0156842
+0.014669
+0.0138877
+0.0134183
+0.013286
+0.013491
+0.0140257
+0.0148649
+0.0159365
+0.0172213
+0.0186485
+0.0202114
+0.0218557
+0.0235637
+0.0253403
+0.0271774
+0.0290485
+0.0309596
+0.0328979
+0.0345224
+0.0357911
+0.0371457
+0.0385772
+0.040074
+0.0416305
+0.0432419
+0.0449025
+0.0466069
+0.0483504
+0.0501291
+0.0519393
+0.0537778
+0.0556417
+0.0575288
+0.0594366
+0.0613634
+0.0633016
+0.0652528
+0.0697925
+0.0694598
+0.0691948
+0.0689898
+0.0685264
+0.0677324
+0.0669909
+0.0663093
+0.0656937
+0.065146
+0.0646679
+0.064261
+0.0639266
+0.0636659
+0.0634797
+0.0633662
+0.0633162
+0.063342
+0.0634435
+0.0636203
+0.0638718
+0.0641971
+0.0645951
+0.0650645
+0.0640248
+0.0621197
+0.060234
+0.0583687
+0.0565207
+0.054698
+0.0529032
+0.0511392
+0.0494095
+0.0477176
+0.0460677
+0.0444646
+0.0429135
+0.0414202
+0.0399912
+0.0386319
+0.0373475
+0.0361504
+0.0350494
+0.0340539
+0.0331733
+0.0324172
+0.0317785
+0.031274
+0.0309169
+0.0307122
+0.030663
+0.0307702
+0.031032
+0.0306087
+0.02865
+0.0267274
+0.0248491
+0.0230261
+0.0212566
+0.0195698
+0.0179921
+0.0165544
+0.0152964
+0.0142537
+0.0134482
+0.0129656
+0.0128287
+0.0130382
+0.0135907
+0.0144575
+0.0155651
+0.0168783
+0.0183598
+0.0199586
+0.0216489
+0.0234122
+0.0252128
+0.0270586
+0.0289373
+0.0308554
+0.0325474
+0.0337482
+0.0350449
+0.0364273
+0.037886
+0.039409
+0.0409907
+0.0426264
+0.04431
+0.0460363
+0.0478007
+0.0495991
+0.0514279
+0.0532841
+0.0551647
+0.0570675
+0.0589873
+0.0609192
+0.062868
+0.0648322
+0.0704768
+0.0701473
+0.0698849
+0.0696904
+0.0695559
+0.0688834
+0.068151
+0.0674811
+0.0668764
+0.0663384
+0.065869
+0.0654695
+0.0651414
+0.0648855
+0.0647029
+0.064594
+0.064546
+0.0645713
+0.0646709
+0.0648443
+0.0650911
+0.0654103
+0.065801
+0.0658632
+0.0639385
+0.0620315
+0.0601426
+0.0582685
+0.0564172
+0.054591
+0.0527925
+0.0510248
+0.049291
+0.0475949
+0.0459406
+0.0443329
+0.0427771
+0.0412788
+0.0398448
+0.0384803
+0.0371906
+0.0359883
+0.0348821
+0.0338817
+0.0329966
+0.0322363
+0.031594
+0.0310865
+0.0307271
+0.0305212
+0.0304717
+0.0305796
+0.030843
+0.0305692
+0.0286078
+0.0266821
+0.0248005
+0.0229736
+0.0211997
+0.019508
+0.0179248
+0.0164813
+0.0152173
+0.0141653
+0.0133523
+0.0128647
+0.01273
+0.0129448
+0.0135016
+0.0143737
+0.0154873
+0.0168066
+0.0182939
+0.0199115
+0.0216236
+0.0233992
+0.0252401
+0.0271168
+0.0289918
+0.0307583
+0.031876
+0.0331011
+0.0344222
+0.0358273
+0.0373038
+0.0388477
+0.0404514
+0.042108
+0.0438116
+0.0455568
+0.0473391
+0.0491543
+0.0509991
+0.0528703
+0.0547652
+0.0566776
+0.0586037
+0.0605478
+0.0625082
+0.0644834
+0.0712219
+0.0708958
+0.0706362
+0.0704438
+0.0703192
+0.070078
+0.0693576
+0.0686995
+0.0681055
+0.0675773
+0.0671166
+0.0667246
+0.0664026
+0.0661516
+0.0659725
+0.0658658
+0.0658257
+0.0658505
+0.0659482
+0.0661183
+0.0663603
+0.0666735
+0.0670568
+0.0658472
+0.0639221
+0.0620146
+0.0601252
+0.0582505
+0.0563986
+0.0545718
+0.0527727
+0.0510042
+0.0492697
+0.0475728
+0.0459178
+0.0443093
+0.0427525
+0.0412534
+0.0398184
+0.038453
+0.0371624
+0.0359591
+0.0348521
+0.0338508
+0.0329648
+0.0322038
+0.0315608
+0.0310528
+0.030693
+0.0304868
+0.0304373
+0.0305453
+0.030809
+0.0306865
+0.0287331
+0.0268164
+0.0249417
+0.0231094
+0.0213444
+0.0196652
+0.0180957
+0.016667
+0.0154182
+0.0143525
+0.0135503
+0.01307
+0.0129352
+0.0131528
+0.0137137
+0.0145853
+0.0157161
+0.017019
+0.0184892
+0.0200911
+0.021789
+0.0235522
+0.025382
+0.0272651
+0.0291548
+0.0301967
+0.0313435
+0.0325834
+0.0339184
+0.0353388
+0.0368349
+0.0383977
+0.0400194
+0.0416932
+0.043413
+0.0451736
+0.0469704
+0.0487994
+0.0506571
+0.0525405
+0.0544463
+0.0563635
+0.0582999
+0.0602538
+0.0622233
+0.0642061
+0.0720259
+0.0717035
+0.0714468
+0.0712566
+0.0711334
+0.0710776
+0.0706049
+0.0699585
+0.0693753
+0.0688569
+0.0684048
+0.0680202
+0.0677044
+0.0674583
+0.0672826
+0.067178
+0.0671447
+0.0671753
+0.0672709
+0.0674377
+0.067675
+0.0679821
+0.0678438
+0.0659042
+0.0639808
+0.0620751
+0.0601875
+0.0583148
+0.056465
+0.0546405
+0.0528437
+0.0510777
+0.0493458
+0.0476516
+0.0459994
+0.0443939
+0.0428402
+0.0413442
+0.0399125
+0.0385504
+0.0372632
+0.0360633
+0.0349595
+0.0339614
+0.0330784
+0.03232
+0.0316794
+0.0311733
+0.030815
+0.0306096
+0.0305603
+0.0306678
+0.0309305
+0.0309587
+0.0290162
+0.027105
+0.0252394
+0.02343
+0.0216911
+0.020041
+0.0185035
+0.0171088
+0.0158948
+0.0148633
+0.0140902
+0.0136277
+0.0134975
+0.0137084
+0.0142474
+0.0150882
+0.0161839
+0.0174564
+0.0188926
+0.0204629
+0.0221389
+0.0238983
+0.0257104
+0.0275711
+0.0286839
+0.0297422
+0.0309197
+0.0321949
+0.0335454
+0.034981
+0.0364917
+0.0380686
+0.0397037
+0.0413903
+0.0431222
+0.0448942
+0.0467018
+0.0485406
+0.0504048
+0.0522942
+0.0541999
+0.0561234
+0.0580659
+0.0600254
+0.0620004
+0.0639894
+0.0728869
+0.0725683
+0.0723147
+0.0721268
+0.0720051
+0.0719499
+0.0718974
+0.0712627
+0.0706903
+0.0701816
+0.069738
+0.0693609
+0.0690512
+0.0688099
+0.0686377
+0.0685351
+0.0685025
+0.0685399
+0.068636
+0.0687995
+0.0690321
+0.0693332
+0.0679697
+0.0660338
+0.0641143
+0.0622126
+0.0603294
+0.0584613
+0.0566163
+0.0547967
+0.0530053
+0.0512448
+0.0495187
+0.0478307
+0.0461849
+0.044586
+0.0430393
+0.0415505
+0.0401262
+0.0387716
+0.037492
+0.0362996
+0.0352032
+0.0342122
+0.033329
+0.0325667
+0.0319369
+0.0314458
+0.0310906
+0.0308871
+0.0308382
+0.0309447
+0.0312036
+0.0313579
+0.0294357
+0.0275537
+0.0257206
+0.0239476
+0.0222492
+0.0206438
+0.0191547
+0.0178111
+0.0166483
+0.0156665
+0.0149351
+0.0144974
+0.0143751
+0.0145754
+0.0150835
+0.0158801
+0.0169246
+0.0181452
+0.0195308
+0.0210536
+0.0226859
+0.0244059
+0.0261963
+0.0274302
+0.0283664
+0.0294361
+0.0306254
+0.0319209
+0.0332977
+0.0347435
+0.0362641
+0.0378505
+0.0394939
+0.0411852
+0.0429175
+0.0446896
+0.0464975
+0.048337
+0.0502046
+0.0520968
+0.0540109
+0.055945
+0.0578974
+0.0598664
+0.0618502
+0.0638416
+0.0738029
+0.0734883
+0.0732379
+0.0730524
+0.0729322
+0.0728777
+0.0728891
+0.0726096
+0.0720479
+0.0715488
+0.0711138
+0.070744
+0.0704404
+0.0702038
+0.0700351
+0.0699345
+0.0699025
+0.0699392
+0.0700429
+0.0702032
+0.0704312
+0.069699
+0.0681658
+0.0662356
+0.0643221
+0.0624269
+0.0605503
+0.0586892
+0.0568516
+0.0550398
+0.0532565
+0.0515047
+0.0497876
+0.048109
+0.0464731
+0.0448844
+0.0433484
+0.0418706
+0.0404575
+0.0391144
+0.0378464
+0.0366597
+0.0355656
+0.0345758
+0.0336995
+0.0329459
+0.0323234
+0.0318383
+0.0314875
+0.0312866
+0.0312384
+0.0313435
+0.0315992
+0.0318973
+0.0300097
+0.028166
+0.0263755
+0.0246497
+0.0230032
+0.0214543
+0.0200255
+0.0187445
+0.0176433
+0.0167201
+0.0160367
+0.015628
+0.0155146
+0.0157023
+0.016175
+0.0169203
+0.0179042
+0.0190622
+0.0203856
+0.0218489
+0.0234259
+0.0250952
+0.0264581
+0.0272746
+0.0282159
+0.0292911
+0.0304849
+0.031757
+0.0331253
+0.0345784
+0.0361059
+0.037695
+0.0393345
+0.0410254
+0.0427618
+0.0445382
+0.0463501
+0.0481934
+0.0500648
+0.0519611
+0.0538798
+0.0558185
+0.0577752
+0.0597481
+0.0617357
+0.0637367
+0.0747719
+0.0744614
+0.0742143
+0.0740312
+0.0739126
+0.0738589
+0.0738701
+0.0739462
+0.0734457
+0.0729562
+0.0725296
+0.0721671
+0.0718695
+0.0716377
+0.0714723
+0.0713738
+0.0713424
+0.0713783
+0.0714814
+0.0716464
+0.0711379
+0.0695997
+0.0680972
+0.0665091
+0.0646037
+0.0627169
+0.0608443
+0.0589925
+0.0571647
+0.0553631
+0.0535906
+0.0518501
+0.0501448
+0.0484786
+0.0468556
+0.0452804
+0.0437582
+0.0422947
+0.0408963
+0.0395627
+0.0383013
+0.0371264
+0.0360465
+0.0350703
+0.0342067
+0.0334645
+0.0328518
+0.0323746
+0.0320297
+0.0318322
+0.0317848
+0.0318882
+0.0321395
+0.0325211
+0.0307295
+0.0289317
+0.0271917
+0.0255211
+0.0239346
+0.02245
+0.0210888
+0.0198764
+0.0188416
+0.0179799
+0.0173463
+0.0169674
+0.0168629
+0.0170376
+0.0174742
+0.0181663
+0.0190861
+0.0201764
+0.021431
+0.0228274
+0.0243411
+0.0257277
+0.0264072
+0.0272367
+0.0281996
+0.0292438
+0.0304102
+0.0316854
+0.0330566
+0.0345126
+0.0360429
+0.0376347
+0.0392766
+0.04097
+0.0427086
+0.0444871
+0.046301
+0.0481462
+0.0500194
+0.0519173
+0.0538376
+0.0557777
+0.0577358
+0.05971
+0.0616989
+0.063701
+0.0757919
+0.0754855
+0.0752418
+0.0750612
+0.0749443
+0.0748912
+0.0749023
+0.0749774
+0.0748815
+0.0744015
+0.0739833
+0.0736279
+0.0733362
+0.073109
+0.072947
+0.0728505
+0.0728197
+0.0728549
+0.0729559
+0.0726805
+0.0711082
+0.0695693
+0.0680662
+0.0665946
+0.0649515
+0.0630681
+0.0612052
+0.0593646
+0.0575485
+0.0557594
+0.0539999
+0.052273
+0.050582
+0.0489307
+0.0473232
+0.0457641
+0.0442585
+0.0428122
+0.0414312
+0.0401154
+0.0388719
+0.0377148
+0.0366522
+0.0356926
+0.0348444
+0.0341161
+0.0335154
+0.0330478
+0.03271
+0.0325166
+0.0324702
+0.0325714
+0.0328174
+0.0331912
+0.0315851
+0.0298389
+0.028155
+0.0265451
+0.0250237
+0.0236076
+0.0223172
+0.0211752
+0.020207
+0.0194061
+0.0188205
+0.0184702
+0.0183743
+0.0185364
+0.0189385
+0.0195789
+0.0204352
+0.021457
+0.0226408
+0.0239668
+0.025331
+0.0258616
+0.0265376
+0.0273632
+0.028289
+0.02933
+0.0304932
+0.031765
+0.0331329
+0.0345857
+0.0361129
+0.0377017
+0.0393409
+0.0410316
+0.0427677
+0.0445439
+0.0463555
+0.0481987
+0.0500698
+0.051966
+0.0538845
+0.055823
+0.0577795
+0.0597523
+0.0617398
+0.0637406
+0.0768607
+0.0765587
+0.0763184
+0.0761404
+0.0760251
+0.0759728
+0.0759837
+0.0760577
+0.0761946
+0.0758825
+0.0754725
+0.0751241
+0.0748383
+0.0746157
+0.0744569
+0.0743624
+0.0743323
+0.0743668
+0.0743203
+0.0727175
+0.071146
+0.0696079
+0.0681056
+0.0666415
+0.0650914
+0.0634919
+0.0616418
+0.0598146
+0.0580127
+0.0562383
+0.0544943
+0.0527835
+0.0511094
+0.0494757
+0.0478865
+0.0463464
+0.0448604
+0.043434
+0.0420735
+0.0407784
+0.0395558
+0.0384193
+0.0373767
+0.0364362
+0.0356058
+0.0348933
+0.0343062
+0.0338495
+0.0335198
+0.0333311
+0.0332858
+0.0333846
+0.0336247
+0.0339896
+0.0325634
+0.0308727
+0.0292483
+0.0277021
+0.0262477
+0.0249014
+0.0236816
+0.0226086
+0.0217044
+0.0209586
+0.0204094
+0.0200851
+0.019997
+0.020148
+0.0205324
+0.0211246
+0.0219174
+0.0228694
+0.0239836
+0.0252391
+0.0256272
+0.0261658
+0.0268467
+0.0276475
+0.0285441
+0.0295762
+0.03073
+0.0319924
+0.0333511
+0.0347947
+0.0363132
+0.0378955
+0.0395266
+0.0412097
+0.0429386
+0.044708
+0.0465133
+0.0483504
+0.0502159
+0.0521067
+0.0540202
+0.055954
+0.0579062
+0.0598748
+0.0618584
+0.0638554
+0.0779765
+0.0776788
+0.077442
+0.0772665
+0.0771529
+0.0771014
+0.0771121
+0.077185
+0.07732
+0.0773972
+0.0769952
+0.0766538
+0.0763737
+0.0761556
+0.076
+0.0759074
+0.0758779
+0.0759117
+0.0744134
+0.0728203
+0.0712511
+0.0697154
+0.0682154
+0.0667537
+0.0652347
+0.0636993
+0.0621526
+0.0603409
+0.0585551
+0.0567977
+0.0550714
+0.0533792
+0.0517243
+0.0501107
+0.0485422
+0.0470236
+0.0455597
+0.044156
+0.0428184
+0.0415465
+0.0403472
+0.0392336
+0.0382133
+0.0372938
+0.0364829
+0.0357879
+0.0352157
+0.0347692
+0.0344483
+0.0342647
+0.0342206
+0.0343167
+0.0345516
+0.0349074
+0.0336463
+0.0320128
+0.0304493
+0.0289673
+0.0275797
+0.0263017
+0.0251498
+0.0241423
+0.0232886
+0.0225839
+0.0220749
+0.0217755
+0.0216942
+0.0218336
+0.0221894
+0.0227515
+0.0234958
+0.0243856
+0.0254335
+0.0257195
+0.0260587
+0.0265747
+0.0272549
+0.0280262
+0.0289337
+0.0299523
+0.0310922
+0.0323404
+0.0336851
+0.035115
+0.0366201
+0.0381917
+0.0398218
+0.0414985
+0.0432198
+0.0449784
+0.0467732
+0.0486005
+0.0504568
+0.0523389
+0.0542442
+0.0561703
+0.0581152
+0.0600769
+0.062054
+0.064045
+0.0791372
+0.0788439
+0.0786105
+0.0784377
+0.0783258
+0.0782751
+0.0782856
+0.0783575
+0.0784904
+0.0786741
+0.0785496
+0.0782149
+0.0779404
+0.0777267
+0.0775743
+0.0774835
+0.0774547
+0.0761748
+0.0745658
+0.0729784
+0.0714157
+0.0698834
+0.0683869
+0.0669287
+0.0654511
+0.0639209
+0.0624264
+0.0609414
+0.0591738
+0.0574353
+0.0557287
+0.0540571
+0.0524237
+0.0508322
+0.0492867
+0.0477917
+0.0463521
+0.0449731
+0.0436606
+0.042414
+0.0412399
+0.040151
+0.0391546
+0.0382578
+0.0374678
+0.0367914
+0.0362351
+0.0357965
+0.0354849
+0.0353067
+0.035264
+0.0353572
+0.0355852
+0.0359355
+0.0348335
+0.0332583
+0.0317562
+0.0303381
+0.0290162
+0.0278042
+0.0267172
+0.025771
+0.0249543
+0.024298
+0.0238256
+0.0235485
+0.0234733
+0.0236022
+0.0239317
+0.0244538
+0.0251565
+0.0259982
+0.0261336
+0.0262987
+0.0266305
+0.0271357
+0.0278022
+0.0285587
+0.0294591
+0.0304816
+0.0316024
+0.0328313
+0.0341566
+0.0355675
+0.0370543
+0.0386082
+0.0402215
+0.0418822
+0.0435883
+0.0453362
+0.0471211
+0.0489389
+0.0507862
+0.0526599
+0.0545553
+0.0564708
+0.0584056
+0.060358
+0.0623262
+0.0643087
+0.0803409
+0.080052
+0.0798222
+0.079652
+0.0795418
+0.0794918
+0.0795022
+0.0795651
+0.0796844
+0.0798636
+0.0801023
+0.0798014
+0.0795324
+0.079323
+0.0791737
+0.0790848
+0.0780127
+0.0763866
+0.0747821
+0.0731994
+0.0716416
+0.0701142
+0.0686228
+0.0671697
+0.0657387
+0.0642164
+0.062729
+0.0612839
+0.0598662
+0.0581485
+0.0564635
+0.0548142
+0.053204
+0.0516366
+0.050116
+0.0486465
+0.0472329
+0.0458804
+0.0445946
+0.0433748
+0.0422274
+0.0411648
+0.0401935
+0.0393204
+0.0385521
+0.0378951
+0.0373536
+0.0369254
+0.0366233
+0.0364507
+0.0364093
+0.0364996
+0.0367206
+0.0370646
+0.0361146
+0.0345979
+0.0331565
+0.0318009
+0.0305423
+0.0293934
+0.0283673
+0.02747
+0.026696
+0.0260835
+0.0256441
+0.0253868
+0.0253171
+0.0254366
+0.0257427
+0.0262287
+0.0268851
+0.0268443
+0.026883
+0.0270435
+0.0273663
+0.0278581
+0.0285077
+0.029246
+0.0301259
+0.0311353
+0.0322537
+0.0334586
+0.03476
+0.0361474
+0.0376113
+0.0391431
+0.0407352
+0.0423757
+0.0440628
+0.0457925
+0.0475603
+0.049362
+0.051194
+0.0530533
+0.0549369
+0.0568426
+0.0587682
+0.0607117
+0.0626716
+0.0646456
+0.0815856
+0.0813011
+0.0810749
+0.0809073
+0.0807988
+0.0807439
+0.0807427
+0.0808008
+0.0809183
+0.0810947
+0.0813298
+0.0814152
+0.0811515
+0.0809463
+0.0808
+0.0799284
+0.0782808
+0.0766604
+0.0750617
+0.073485
+0.0719335
+0.0704124
+0.0689274
+0.0674809
+0.0660753
+0.0645806
+0.0631063
+0.06167
+0.060279
+0.0589345
+0.0572726
+0.0556473
+0.054062
+0.0525202
+0.0510259
+0.0495833
+0.0481972
+0.0468726
+0.0456147
+0.044423
+0.0433034
+0.0422678
+0.0413224
+0.0404737
+0.0397277
+0.0390905
+0.0385614
+0.0381467
+0.0378545
+0.0376875
+0.0376474
+0.0377348
+0.0379486
+0.038286
+0.0374801
+0.0360209
+0.0346388
+0.0333435
+0.0321454
+0.0310558
+0.0300865
+0.029226
+0.0284997
+0.0279267
+0.0275168
+0.0272771
+0.0272123
+0.0273235
+0.0276087
+0.0280624
+0.0278831
+0.0277479
+0.0277772
+0.0279202
+0.0282329
+0.0287099
+0.0293431
+0.0300775
+0.0309337
+0.0319176
+0.0330177
+0.034215
+0.0354886
+0.0368486
+0.0382857
+0.0397916
+0.0413587
+0.0429754
+0.0446398
+0.0463481
+0.0480954
+0.0498778
+0.0516915
+0.0535335
+0.0554008
+0.0572911
+0.0592021
+0.0611318
+0.0630786
+0.0650409
+0.0828696
+0.0825896
+0.0823668
+0.0821983
+0.0820802
+0.0820204
+0.0820192
+0.0820764
+0.082192
+0.0823658
+0.0825973
+0.082886
+0.082797
+0.0825958
+0.0819164
+0.0802499
+0.078609
+0.0769955
+0.075404
+0.0738346
+0.0722906
+0.0707772
+0.0693001
+0.0678615
+0.066464
+0.0650068
+0.0635481
+0.062122
+0.0607414
+0.0594095
+0.0581297
+0.0565531
+0.0549939
+0.0534789
+0.0520122
+0.0505978
+0.0492402
+0.0479444
+0.0467154
+0.0455525
+0.0444614
+0.0434533
+0.0425343
+0.0417103
+0.0409868
+0.0403693
+0.0398531
+0.039452
+0.0391695
+0.0390081
+0.0389695
+0.0390538
+0.0392604
+0.0395874
+0.0389211
+0.0375179
+0.0361931
+0.0349554
+0.0338145
+0.0327804
+0.0318565
+0.0310372
+0.0303543
+0.0298171
+0.0294334
+0.0292095
+0.029149
+0.0292529
+0.0295194
+0.029215
+0.0289205
+0.0287901
+0.0287939
+0.0289322
+0.0292341
+0.029695
+0.0303076
+0.0310416
+0.031872
+0.0328277
+0.0338983
+0.0350715
+0.0363209
+0.0376562
+0.0390636
+0.0405405
+0.0420798
+0.0436747
+0.0453155
+0.0469992
+0.0487232
+0.0504834
+0.0522762
+0.0540982
+0.0559467
+0.0578191
+0.0597132
+0.0616269
+0.0635586
+0.0655065
+0.084191
+0.0839137
+0.0836834
+0.08351
+0.0833937
+0.0833349
+0.0833337
+0.0833901
+0.0835038
+0.0836749
+0.0839028
+0.084187
+0.0844672
+0.0839718
+0.0822885
+0.0806296
+0.0789967
+0.0773913
+0.075808
+0.0742472
+0.072712
+0.0712076
+0.0697396
+0.0683102
+0.0669221
+0.0655034
+0.064056
+0.0626414
+0.0612726
+0.0599525
+0.0586846
+0.0574722
+0.055996
+0.0545089
+0.0530706
+0.0516852
+0.050357
+0.0490906
+0.0478911
+0.0467574
+0.045695
+0.0447148
+0.0438223
+0.0430229
+0.0423219
+0.0417201
+0.0412209
+0.0408332
+0.0405603
+0.0404045
+0.0403671
+0.0404486
+0.0406481
+0.040964
+0.0404294
+0.0390805
+0.0378104
+0.0366274
+0.0355402
+0.0345578
+0.0336688
+0.0328947
+0.0322511
+0.031746
+0.031386
+0.0311761
+0.0311194
+0.0312167
+0.0307965
+0.0303596
+0.0300763
+0.0299326
+0.029936
+0.03007
+0.0303606
+0.0308047
+0.0313956
+0.0321056
+0.0329294
+0.0338553
+0.0348944
+0.0360352
+0.0372522
+0.0385553
+0.0399361
+0.041385
+0.0428939
+0.0444596
+0.0460763
+0.0477388
+0.0494402
+0.0511757
+0.0529451
+0.0547449
+0.0565722
+0.0584246
+0.0602997
+0.0621953
+0.0641099
+0.0660415
+0.0855343
+0.0852553
+0.0850287
+0.084858
+0.0847436
+0.0846857
+0.0846845
+0.08474
+0.084852
+0.0850203
+0.0852446
+0.0855244
+0.0858592
+0.0843818
+0.0827098
+0.0810625
+0.0794404
+0.0778441
+0.0762729
+0.0747218
+0.0731966
+0.0717023
+0.0702446
+0.0688258
+0.0674483
+0.0660616
+0.0646342
+0.0632326
+0.0618768
+0.0605699
+0.0593152
+0.0581159
+0.0569757
+0.0556061
+0.054197
+0.0528411
+0.0515427
+0.0503062
+0.0491363
+0.048032
+0.0469985
+0.046046
+0.0451798
+0.0444049
+0.0437261
+0.0431399
+0.0426573
+0.0422828
+0.0420193
+0.0418689
+0.0418329
+0.0419115
+0.0421041
+0.0424091
+0.041998
+0.040701
+0.0394831
+0.0383517
+0.0373148
+0.0363739
+0.0355237
+0.034791
+0.0341831
+0.033707
+0.0333681
+0.0331707
+0.0331175
+0.0325822
+0.0320201
+0.0316001
+0.031328
+0.0311862
+0.0311897
+0.03132
+0.0315991
+0.0320259
+0.0325948
+0.0332722
+0.0340754
+0.0349901
+0.0359964
+0.0371033
+0.0382864
+0.0395555
+0.0409025
+0.0423202
+0.0438016
+0.0453369
+0.0469234
+0.0485569
+0.0502328
+0.051947
+0.053695
+0.0554705
+0.0572747
+0.0591051
+0.0609592
+0.062835
+0.0647306
+0.0666443
+0.0869084
+0.0866316
+0.0864085
+0.0862406
+0.086128
+0.0860711
+0.0860699
+0.0861245
+0.0862347
+0.0864003
+0.086621
+0.0868964
+0.0865315
+0.0848453
+0.0831826
+0.0815449
+0.0799325
+0.0783463
+0.0767898
+0.0752571
+0.0737431
+0.0722602
+0.0708139
+0.0694067
+0.068041
+0.0666803
+0.0652776
+0.0638934
+0.062552
+0.0612595
+0.0600191
+0.0588343
+0.0577082
+0.0566371
+0.0553871
+0.0540611
+0.0527927
+0.0515862
+0.050446
+0.049371
+0.0483661
+0.0474411
+0.0466008
+0.0458499
+0.0451901
+0.0446222
+0.0441557
+0.043794
+0.0435397
+0.0433946
+0.0433598
+0.0434357
+0.0436215
+0.043916
+0.0436201
+0.0423729
+0.0412044
+0.0401216
+0.0391316
+0.0382231
+0.037415
+0.03672
+0.0361446
+0.0356946
+0.0353748
+0.0351887
+0.0345429
+0.033883
+0.0333428
+0.0329397
+0.0326788
+0.0325392
+0.0325426
+0.0326647
+0.0329324
+0.0333422
+0.0338878
+0.0345385
+0.0353129
+0.0362035
+0.0371788
+0.038253
+0.0394154
+0.0406492
+0.0419611
+0.0433442
+0.0447917
+0.0462977
+0.0478558
+0.0494585
+0.0511049
+0.0527909
+0.0545127
+0.0562672
+0.0580512
+0.0598581
+0.0616896
+0.0635438
+0.0654189
+0.067313
+0.0883141
+0.0880409
+0.0878214
+0.0876561
+0.0875454
+0.0874894
+0.0874882
+0.0875419
+0.0876503
+0.0878132
+0.0880304
+0.0883014
+0.0870388
+0.0853626
+0.0837102
+0.0820829
+0.0804814
+0.0789062
+0.077361
+0.0758475
+0.0743502
+0.0728796
+0.0714459
+0.0700514
+0.0686984
+0.0673646
+0.0659764
+0.0646218
+0.0632958
+0.0620188
+0.060794
+0.0596245
+0.0585136
+0.0574564
+0.056425
+0.055341
+0.0541026
+0.0529259
+0.0518152
+0.0507693
+0.0497926
+0.0488946
+0.0480797
+0.0473522
+0.04671
+0.0461608
+0.0457101
+0.0453608
+0.0451153
+0.0449753
+0.0449417
+0.0450149
+0.0451942
+0.0454786
+0.0452901
+0.0440902
+0.0429684
+0.0419312
+0.0409789
+0.0401068
+0.0393374
+0.038677
+0.0381311
+0.0377048
+0.0374022
+0.0366586
+0.035917
+0.035272
+0.0347534
+0.0343668
+0.0341168
+0.0339796
+0.0339777
+0.0340947
+0.0343513
+0.0347444
+0.0352682
+0.0358939
+0.0366397
+0.0374988
+0.0384464
+0.0394862
+0.0406176
+0.0418291
+0.0431052
+0.0444526
+0.0458652
+0.047337
+0.0488627
+0.0504345
+0.05205
+0.0537063
+0.0553997
+0.0571269
+0.058885
+0.0606712
+0.0624832
+0.0643188
+0.0661726
+0.0680457
+0.0897505
+0.0894816
+0.0892656
+0.089103
+0.0889941
+0.088939
+0.0889379
+0.0889907
+0.0890973
+0.0892576
+0.0894713
+0.0892858
+0.0875978
+0.0859326
+0.0842913
+0.0826756
+0.0810851
+0.0795219
+0.0779888
+0.0764878
+0.0750163
+0.073559
+0.0721388
+0.070758
+0.069412
+0.0680905
+0.0667399
+0.0654118
+0.0641059
+0.0628453
+0.0616369
+0.0604837
+0.059389
+0.0583466
+0.0573312
+0.0563826
+0.0554681
+0.054321
+0.0532394
+0.052222
+0.051273
+0.0504014
+0.0496112
+0.0489051
+0.0482815
+0.0477504
+0.0473148
+0.0469774
+0.0467404
+0.0466053
+0.0465729
+0.0466435
+0.0468167
+0.0470912
+0.047003
+0.0458478
+0.0447702
+0.0437757
+0.0428535
+0.0420202
+0.0412865
+0.0406577
+0.0401388
+0.0397341
+0.0389058
+0.0380842
+0.0373589
+0.0367392
+0.0362416
+0.0358711
+0.0356288
+0.0354969
+0.0354901
+0.0356021
+0.0358479
+0.0362248
+0.0367275
+0.0373287
+0.0380464
+0.0388745
+0.0397943
+0.0407998
+0.0418957
+0.0430753
+0.044328
+0.0456394
+0.0470163
+0.0484532
+0.0499448
+0.0514835
+0.0530671
+0.0546926
+0.0563564
+0.0580552
+0.0597859
+0.061546
+0.063333
+0.0651446
+0.0669789
+0.068834
+0.0912168
+0.0909522
+0.0907398
+0.0905798
+0.0904727
+0.0904185
+0.0904174
+0.0904693
+0.0905742
+0.0907319
+0.0909421
+0.0898843
+0.0882078
+0.0865539
+0.0849218
+0.0833154
+0.0817361
+0.0801856
+0.0786655
+0.0771776
+0.0757239
+0.0742969
+0.0728911
+0.0715247
+0.0701799
+0.0688732
+0.0675657
+0.0662543
+0.0649758
+0.0637325
+0.0625412
+0.061405
+0.060327
+0.0593043
+0.0583056
+0.0573732
+0.0565103
+0.0557119
+0.0547143
+0.0537248
+0.0528028
+0.0519568
+0.0511907
+0.0505034
+0.0498998
+0.049386
+0.048965
+0.0486391
+0.0484102
+0.0482797
+0.0482485
+0.0483167
+0.0484838
+0.0487489
+0.0487541
+0.0476414
+0.0466052
+0.0456452
+0.0447567
+0.0439595
+0.0432587
+0.0426591
+0.0421648
+0.0412424
+0.0403537
+0.0395622
+0.0388708
+0.0382756
+0.0377982
+0.0374431
+0.0372078
+0.0370815
+0.0370704
+0.0371776
+0.037413
+0.0377743
+0.0382566
+0.0388342
+0.0395246
+0.0403223
+0.0412146
+0.0421863
+0.0432471
+0.0443908
+0.0456111
+0.0468985
+0.0482395
+0.049641
+0.0510979
+0.0526029
+0.0541538
+0.0557476
+0.0573808
+0.0590501
+0.0607526
+0.0624854
+0.0642463
+0.0660328
+0.0678431
+0.0696752
+0.0927117
+0.0924514
+0.0922424
+0.0920851
+0.0919797
+0.0919264
+0.0919252
+0.0919763
+0.0920795
+0.0922346
+0.0922182
+0.0905301
+0.088863
+0.0872191
+0.0855998
+0.0840063
+0.0824402
+0.0809032
+0.0793968
+0.0779229
+0.0764834
+0.0750802
+0.0737008
+0.0723391
+0.0710071
+0.0697159
+0.0684518
+0.0671576
+0.0659047
+0.0646793
+0.0635058
+0.0623871
+0.0613264
+0.0603265
+0.0593449
+0.0584291
+0.0575802
+0.0567834
+0.0560154
+0.0552735
+0.0543778
+0.0535568
+0.0528135
+0.0521447
+0.0515603
+0.0510632
+0.0506562
+0.0503412
+0.0501201
+0.0499941
+0.0499639
+0.0500297
+0.0501912
+0.0504473
+0.0505395
+0.049467
+0.0484698
+0.0475376
+0.0466851
+0.0459215
+0.045166
+0.044446
+0.0436708
+0.0427223
+0.041865
+0.0411026
+0.0404447
+0.0398732
+0.0394152
+0.0390748
+0.0388462
+0.0387253
+0.0387101
+0.0388128
+0.0390384
+0.0393847
+0.0398476
+0.0404024
+0.0410664
+0.0418347
+0.0427002
+0.0436387
+0.0446651
+0.0457734
+0.0469577
+0.0482126
+0.0495294
+0.0508954
+0.0523174
+0.0537883
+0.0553059
+0.0568675
+0.0584694
+0.0601085
+0.0617818
+0.0634866
+0.0652204
+0.066981
+0.0687663
+0.0705744
+0.0942338
+0.0939777
+0.0937721
+0.0936174
+0.0935137
+0.0934613
+0.0934602
+0.0935104
+0.0936119
+0.0937645
+0.0928954
+0.0912189
+0.0895647
+0.0879339
+0.0863279
+0.0847482
+0.0831961
+0.0816732
+0.0801814
+0.0787222
+0.0772975
+0.0759094
+0.0745535
+0.0732065
+0.0718916
+0.0706166
+0.0693872
+0.0681195
+0.0668907
+0.0656855
+0.0645303
+0.0634297
+0.0623867
+0.0613971
+0.0604458
+0.0595469
+0.0587012
+0.0579175
+0.0571647
+0.0564869
+0.0558867
+0.055191
+0.0544633
+0.0538149
+0.0532488
+0.0527677
+0.0523739
+0.0520693
+0.0518556
+0.0517338
+0.0517046
+0.0517682
+0.0519243
+0.0521719
+0.0523557
+0.0513212
+0.050316
+0.0492976
+0.0483448
+0.0474711
+0.0466839
+0.0459877
+0.0451774
+0.0442612
+0.0434343
+0.0426999
+0.042067
+0.0415204
+0.0410808
+0.0407543
+0.0405369
+0.040421
+0.0404021
+0.0405005
+0.0407167
+0.0410489
+0.0414932
+0.0420263
+0.0426651
+0.0434051
+0.0442413
+0.0451496
+0.0461424
+0.047216
+0.0483651
+0.0495843
+0.0508688
+0.0522042
+0.0535944
+0.0550352
+0.0565196
+0.0580484
+0.0596186
+0.061227
+0.0628705
+0.0645465
+0.0662526
+0.0679865
+0.069746
+0.0715294
+0.0957818
+0.0955299
+0.0953276
+0.0951754
+0.0950734
+0.0950219
+0.0950208
+0.0950702
+0.0951701
+0.0953027
+0.0936181
+0.0919548
+0.0903141
+0.0886971
+0.0871052
+0.0855397
+0.0840023
+0.0824943
+0.0810176
+0.0795737
+0.0781646
+0.0767921
+0.0754583
+0.0741284
+0.0728313
+0.071573
+0.0703604
+0.0691374
+0.067927
+0.0667484
+0.0656119
+0.0645298
+0.0634987
+0.0625247
+0.0615967
+0.0607125
+0.0598812
+0.0591048
+0.0583673
+0.0577036
+0.0571163
+0.0566077
+0.0561471
+0.0555184
+0.0549698
+0.0545039
+0.0541227
+0.053828
+0.0536213
+0.0535036
+0.0534754
+0.0535369
+0.0536878
+0.0539273
+0.0538806
+0.0528058
+0.0517689
+0.0507866
+0.0498623
+0.0490156
+0.0482537
+0.0475804
+0.0467381
+0.0458531
+0.0450555
+0.044348
+0.0437388
+0.0432135
+0.0427912
+0.0424778
+0.0422735
+0.0421595
+0.0421401
+0.0422345
+0.0424418
+0.0427606
+0.0431873
+0.0436998
+0.0443144
+0.0450273
+0.045834
+0.0467113
+0.0476716
+0.0487115
+0.0498261
+0.0510104
+0.0522598
+0.0535606
+0.0549164
+0.0563249
+0.057782
+0.0592844
+0.0608241
+0.0624014
+0.0640147
+0.0656616
+0.0673394
+0.069046
+0.0707792
+0.0725372
+0.0973545
+0.0971067
+0.0969077
+0.096758
+0.0966577
+0.096607
+0.0966059
+0.0966545
+0.0967527
+0.0960545
+0.0943834
+0.0927338
+0.0911071
+0.0895045
+0.0879272
+0.0863766
+0.0848543
+0.0833618
+0.0819007
+0.0804727
+0.0790796
+0.0777233
+0.0764057
+0.075103
+0.073824
+0.0725829
+0.0713874
+0.0702089
+0.0690173
+0.0678654
+0.066748
+0.0656793
+0.064664
+0.0637078
+0.0627972
+0.061931
+0.061117
+0.060346
+0.0596238
+0.0589743
+0.0583997
+0.0579024
+0.057472
+0.0571185
+0.0567232
+0.0562718
+0.0559027
+0.0556174
+0.0554174
+0.0553035
+0.0552762
+0.0553357
+0.0554817
+0.0557135
+0.055296
+0.0542491
+0.0532266
+0.0522738
+0.0513919
+0.0505895
+0.0498702
+0.0491931
+0.0483478
+0.0474928
+0.0467231
+0.0460412
+0.0454548
+0.0449495
+0.0445437
+0.0442427
+0.0440488
+0.0439372
+0.0439185
+0.0440091
+0.0442082
+0.0445143
+0.0449216
+0.0454141
+0.0460059
+0.046693
+0.0474714
+0.0483218
+0.0492507
+0.0502579
+0.051339
+0.0524892
+0.0537042
+0.0549708
+0.0562927
+0.0576675
+0.0590916
+0.0605615
+0.0620738
+0.0636228
+0.0652059
+0.0668234
+0.0684728
+0.0701518
+0.0718584
+0.0735636
+0.0989507
+0.0987069
+0.0985112
+0.0983639
+0.0982652
+0.0982153
+0.0982143
+0.0982621
+0.0983587
+0.0968496
+0.0951924
+0.0935571
+0.091945
+0.0903572
+0.088795
+0.0872599
+0.0857533
+0.0842767
+0.0828317
+0.0814201
+0.0800434
+0.0787037
+0.0774029
+0.0761281
+0.0748677
+0.0736442
+0.0724662
+0.0713316
+0.0701591
+0.069034
+0.0679313
+0.0668783
+0.0658814
+0.0649432
+0.0640502
+0.0632015
+0.0624052
+0.0616337
+0.0609268
+0.0602913
+0.0597294
+0.0592432
+0.0588227
+0.0584774
+0.0582126
+0.0580293
+0.0577109
+0.0574347
+0.057241
+0.0571307
+0.0571043
+0.0571619
+0.0573032
+0.0575277
+0.0567502
+0.0557271
+0.0547332
+0.0538054
+0.052949
+0.0521706
+0.0514503
+0.0507829
+0.0500016
+0.0491754
+0.0484325
+0.047775
+0.0472101
+0.0467238
+0.0463335
+0.0460443
+0.0458569
+0.0457409
+0.045723
+0.04581
+0.0460013
+0.0462956
+0.0466902
+0.0471647
+0.0477347
+0.0483973
+0.0491487
+0.0499765
+0.0508752
+0.0518509
+0.0528994
+0.0540164
+0.0551978
+0.0564309
+0.0577193
+0.059061
+0.0604522
+0.0618898
+0.0633705
+0.0648913
+0.066448
+0.068036
+0.0696566
+0.0713078
+0.0729867
+0.0746057
+0.100569
+0.100329
+0.100137
+0.099992
+0.0998949
+0.0998459
+0.0998448
+0.0998919
+0.0993501
+0.0976873
+0.0960446
+0.0944241
+0.092827
+0.0912545
+0.089708
+0.0881888
+0.0866983
+0.0852381
+0.0838097
+0.0824148
+0.081055
+0.0797323
+0.0784485
+0.0772001
+0.075951
+0.0747452
+0.0735849
+0.0724722
+0.0713455
+0.0702336
+0.0691606
+0.0681267
+0.0671484
+0.066228
+0.0653526
+0.064521
+0.0637309
+0.0629714
+0.0622797
+0.0616581
+0.0611088
+0.0606337
+0.0602228
+0.0598856
+0.059627
+0.0594481
+0.059348
+0.0592772
+0.0590895
+0.0589827
+0.0589571
+0.0590129
+0.0591498
+0.0593076
+0.0582504
+0.0572459
+0.0562848
+0.0553813
+0.0545497
+0.053786
+0.0530629
+0.052416
+0.0516954
+0.0508966
+0.0501792
+0.0495449
+0.0490005
+0.0485321
+0.0481565
+0.0478782
+0.0476891
+0.0475756
+0.0475584
+0.0476421
+0.047826
+0.0481091
+0.0484896
+0.0489507
+0.0495001
+0.0501394
+0.050865
+0.0516711
+0.0525408
+0.0534861
+0.0545032
+0.055588
+0.0567366
+0.057937
+0.0591927
+0.0605016
+0.0618605
+0.0632661
+0.0647153
+0.0662053
+0.0677333
+0.0692966
+0.0708884
+0.0725115
+0.0741017
+0.0756968
+0.102209
+0.101973
+0.101784
+0.101641
+0.101546
+0.101497
+0.101496
+0.101543
+0.100215
+0.0985666
+0.0969388
+0.0953334
+0.0937518
+0.0921952
+0.0906647
+0.0891618
+0.0876879
+0.0862444
+0.0848329
+0.0834551
+0.0821126
+0.0808072
+0.0795408
+0.0783098
+0.0770786
+0.0758908
+0.0747482
+0.0736532
+0.0725704
+0.0714776
+0.0704309
+0.0694218
+0.0684619
+0.0675595
+0.0667016
+0.065887
+0.0650992
+0.0643558
+0.0636791
+0.0630714
+0.0625345
+0.0620703
+0.061669
+0.0613397
+0.0610873
+0.0609126
+0.060815
+0.0607824
+0.060796
+0.0608571
+0.0608324
+0.0608864
+0.0610192
+0.0607997
+0.0597742
+0.058807
+0.0578746
+0.0569979
+0.0561875
+0.0554172
+0.0547156
+0.0540885
+0.0534253
+0.0526528
+0.0519596
+0.0513473
+0.0508222
+0.0503707
+0.0500089
+0.0497403
+0.0495499
+0.0494393
+0.0494228
+0.0495033
+0.0496803
+0.0499529
+0.0503195
+0.0507683
+0.0512983
+0.0519155
+0.0526166
+0.0533985
+0.0542438
+0.0551599
+0.0561466
+0.0572003
+0.0583172
+0.0594857
+0.0607093
+0.0619863
+0.0633133
+0.0646873
+0.0661053
+0.0675647
+0.0690627
+0.0705969
+0.072165
+0.0737245
+0.0752639
+0.0768349
+0.103869
+0.103637
+0.103451
+0.103311
+0.103217
+0.103169
+0.103168
+0.10277
+0.10112
+0.0994864
+0.0978738
+0.0962841
+0.0947184
+0.0931779
+0.0916638
+0.0901776
+0.0887205
+0.0872941
+0.0858999
+0.0845395
+0.0832145
+0.0819266
+0.0806778
+0.079454
+0.0782514
+0.0770816
+0.075957
+0.0748796
+0.0738399
+0.0727663
+0.0717384
+0.070761
+0.0698195
+0.0689349
+0.0680943
+0.0672966
+0.0665115
+0.0657841
+0.0651223
+0.0645281
+0.0640034
+0.0635499
+0.063158
+0.0628366
+0.0625902
+0.0624197
+0.0623244
+0.0622926
+0.0623085
+0.0623712
+0.0624652
+0.0624733
+0.0625582
+0.0623244
+0.0613244
+0.0603874
+0.0595
+0.0586517
+0.057834
+0.0570859
+0.0564047
+0.0557966
+0.0551879
+0.0544405
+0.0537703
+0.0531789
+0.052672
+0.0522366
+0.0518878
+0.0516208
+0.0514367
+0.0513288
+0.0513129
+0.0513904
+0.051561
+0.0518237
+0.0521772
+0.0526144
+0.053126
+0.0537222
+0.0544
+0.0551566
+0.0559806
+0.0568688
+0.0578264
+0.0588499
+0.0599362
+0.0610737
+0.0622661
+0.0635118
+0.0648076
+0.0661505
+0.0675379
+0.0689669
+0.0704351
+0.07194
+0.0734761
+0.0749566
+0.0764713
+0.078018
+0.105549
+0.105321
+0.105137
+0.104999
+0.104907
+0.10486
+0.104859
+0.103698
+0.102063
+0.100446
+0.0988486
+0.0972748
+0.0957253
+0.0942012
+0.0927039
+0.0912346
+0.0897947
+0.0883856
+0.0870089
+0.0856661
+0.0843588
+0.0830887
+0.0818537
+0.0806402
+0.0794672
+0.0783156
+0.077209
+0.0761493
+0.0751385
+0.0740974
+0.0730882
+0.0721314
+0.0712186
+0.0703516
+0.0695281
+0.0687392
+0.0679651
+0.0672534
+0.0666061
+0.0660253
+0.0655126
+0.0650697
+0.064687
+0.0643732
+0.0641327
+0.0639664
+0.0638734
+0.0638423
+0.0638604
+0.0639215
+0.0639963
+0.0640042
+0.064087
+0.0638879
+0.0629128
+0.0619997
+0.0611516
+0.0603119
+0.0595155
+0.0587882
+0.0581225
+0.0575325
+0.0569803
+0.0562566
+0.0556084
+0.0550367
+0.0545471
+0.0541267
+0.0537897
+0.0535243
+0.0533467
+0.0532414
+0.0532261
+0.0533008
+0.0534653
+0.0537187
+0.0540598
+0.0544859
+0.0549803
+0.0555565
+0.0562123
+0.0569448
+0.0577436
+0.058605
+0.0595347
+0.0605294
+0.061586
+0.062698
+0.0638601
+0.0650753
+0.0663405
+0.0676531
+0.0690102
+0.0704094
+0.071848
+0.073324
+0.0747699
+0.0762253
+0.0777152
+0.0792377
+0.0904627
+0.0885445
+0.0866392
+0.0847477
+0.0828709
+0.0810099
+0.0791657
+0.0773397
+0.075533
+0.0737472
+0.0719804
+0.0702371
+0.0685195
+0.0668295
+0.0651694
+0.0635414
+0.0619482
+0.0603923
+0.0588769
+0.0574051
+0.0559779
+0.0545918
+0.0532597
+0.0519858
+0.0507745
+0.0496304
+0.0485583
+0.0475629
+0.0466492
+0.0458221
+0.0450864
+0.0444466
+0.0438863
+0.0434288
+0.043078
+0.0428365
+0.0427062
+0.042688
+0.0427821
+0.0429878
+0.0433036
+0.0437269
+0.0442547
+0.0448833
+0.0456087
+0.0464261
+0.0473309
+0.0483021
+0.0493508
+0.0504728
+0.0516634
+0.0529168
+0.0542287
+0.055596
+0.0570147
+0.0584811
+0.0599916
+0.061543
+0.0631324
+0.0647569
+0.0664138
+0.068101
+0.0698161
+0.0715572
+0.0733224
+0.0751101
+0.0769185
+0.0787461
+0.0805895
+0.0824498
+0.0839898
+0.085555
+0.0871472
+0.088765
+0.0904068
+0.0920715
+0.0937579
+0.0954464
+0.0971058
+0.0987806
+0.100406
+0.100716
+0.101073
+0.10145
+0.101845
+0.102284
+0.102769
+0.103297
+0.103867
+0.104473
+0.105122
+0.105808
+0.106522
+0.107275
+0.108067
+0.108898
+0.109748
+0.11061
+0.111508
+0.112442
+0.0895364
+0.0875978
+0.0856715
+0.0837581
+0.0818586
+0.0799741
+0.0781055
+0.076254
+0.074421
+0.0726078
+0.070816
+0.0690458
+0.0672977
+0.0655763
+0.0638836
+0.062222
+0.0605941
+0.0590026
+0.0574505
+0.0559412
+0.0544781
+0.0530619
+0.0516904
+0.0503769
+0.0491259
+0.0479425
+0.0468317
+0.0457988
+0.0448492
+0.0439883
+0.0432214
+0.0425536
+0.0419856
+0.0415072
+0.04114
+0.0408871
+0.0407505
+0.0407314
+0.0408301
+0.0410456
+0.0413761
+0.0418189
+0.0423705
+0.0430267
+0.0437828
+0.0446337
+0.0455654
+0.0465727
+0.0476595
+0.0488204
+0.0500503
+0.0513431
+0.0526942
+0.0541003
+0.0555572
+0.057061
+0.0586082
+0.0601953
+0.0618193
+0.0634774
+0.0651669
+0.0668855
+0.068631
+0.0704014
+0.0721949
+0.0740098
+0.0758445
+0.0776973
+0.079565
+0.0811666
+0.0827272
+0.0843159
+0.0859311
+0.0875713
+0.0892351
+0.0909213
+0.0926181
+0.0942748
+0.0959486
+0.0976429
+0.099109
+0.0994237
+0.0997854
+0.100194
+0.100647
+0.101122
+0.101612
+0.102146
+0.102725
+0.103346
+0.104004
+0.104701
+0.105431
+0.106201
+0.107009
+0.107849
+0.1087
+0.10957
+0.110477
+0.111415
+0.0886545
+0.0866962
+0.0847494
+0.0828147
+0.0808931
+0.0789855
+0.0770929
+0.0752166
+0.0733576
+0.0715175
+0.0696976
+0.0678996
+0.0661253
+0.0643733
+0.0626481
+0.0609528
+0.05929
+0.0576625
+0.0560734
+0.054526
+0.0530239
+0.0515712
+0.0501677
+0.0488132
+0.0475211
+0.0462967
+0.0451454
+0.044073
+0.0430854
+0.0421886
+0.0413883
+0.0406904
+0.0401002
+0.0396135
+0.0392286
+0.0389633
+0.0388199
+0.0387999
+0.0389034
+0.0391296
+0.0394761
+0.03994
+0.0405172
+0.0412029
+0.0419919
+0.042878
+0.0438376
+0.0448836
+0.0460103
+0.0472118
+0.0484826
+0.0498161
+0.0512075
+0.0526533
+0.0541491
+0.055691
+0.0572751
+0.0588982
+0.060557
+0.0622487
+0.0639707
+0.0657206
+0.0674962
+0.0692956
+0.071117
+0.0729587
+0.0748192
+0.0766968
+0.0783642
+0.0799195
+0.081504
+0.0831161
+0.0847541
+0.0864167
+0.0881023
+0.0898004
+0.0914562
+0.0931336
+0.0948275
+0.0965414
+0.0978443
+0.098163
+0.0985294
+0.098943
+0.0993987
+0.0998954
+0.100438
+0.101024
+0.101614
+0.102243
+0.102914
+0.103624
+0.104367
+0.105145
+0.105961
+0.106817
+0.107687
+0.108565
+0.109474
+0.110417
+0.0878183
+0.085841
+0.0838743
+0.081919
+0.0799759
+0.0780459
+0.0761299
+0.0742292
+0.0723449
+0.0704783
+0.0686309
+0.0668043
+0.0650001
+0.0632204
+0.0614658
+0.059737
+0.0580394
+0.0563758
+0.0547493
+0.0531634
+0.0516217
+0.0501284
+0.0486878
+0.0472994
+0.0459648
+0.0446977
+0.0435041
+0.0423903
+0.0413625
+0.0404274
+0.0395916
+0.0388614
+0.0382429
+0.0377417
+0.0373479
+0.0370691
+0.0369184
+0.0368973
+0.0370062
+0.0372438
+0.0376078
+0.0380944
+0.0386992
+0.0394165
+0.0402405
+0.0411539
+0.0421528
+0.0432396
+0.044408
+0.0456517
+0.0469647
+0.0483401
+0.0497728
+0.051259
+0.0527944
+0.0543747
+0.0559961
+0.0576552
+0.0593487
+0.0610739
+0.0628281
+0.064609
+0.0664143
+0.0682423
+0.070091
+0.071959
+0.0738446
+0.0755848
+0.077134
+0.0787136
+0.080322
+0.0819573
+0.083618
+0.0853027
+0.0870018
+0.0886557
+0.0903324
+0.0920303
+0.0937442
+0.0954776
+0.0966127
+0.0969355
+0.0973065
+0.0977252
+0.0981835
+0.0986864
+0.0992351
+0.0998289
+0.100467
+0.101148
+0.101853
+0.102574
+0.10333
+0.104118
+0.104945
+0.105812
+0.106708
+0.107588
+0.108503
+0.109454
+0.0870254
+0.0850337
+0.0830479
+0.0810726
+0.0791087
+0.077157
+0.0752185
+0.0732941
+0.0713851
+0.0694928
+0.0676184
+0.0657636
+0.0639301
+0.0621197
+0.0603346
+0.0585769
+0.0568457
+0.0551461
+0.0534823
+0.0518576
+0.0502759
+0.0487413
+0.0472585
+0.0458325
+0.0444619
+0.0431507
+0.0419131
+0.0407558
+0.0396857
+0.0387101
+0.0378364
+0.0370716
+0.0364228
+0.0358961
+0.0354971
+0.0352046
+0.0350459
+0.0350237
+0.0351384
+0.0353886
+0.0357714
+0.0362827
+0.0369171
+0.0376684
+0.0385298
+0.0394761
+0.0405164
+0.0416459
+0.0428578
+0.0441452
+0.0455017
+0.04692
+0.0483947
+0.049922
+0.0514973
+0.0531162
+0.0547749
+0.0564698
+0.0581979
+0.0599562
+0.0617421
+0.0635534
+0.065388
+0.0672438
+0.0691193
+0.0710128
+0.0728312
+0.0743732
+0.0759471
+0.0775509
+0.0791829
+0.0808412
+0.0825244
+0.0842241
+0.0858756
+0.0875508
+0.0892483
+0.0909664
+0.0927
+0.0944525
+0.0954155
+0.0957423
+0.096118
+0.0965406
+0.0970025
+0.0975115
+0.0980668
+0.0986676
+0.0993131
+0.100002
+0.100735
+0.101509
+0.102314
+0.103124
+0.10396
+0.104835
+0.105684
+0.106519
+0.107389
+0.10829
+0.0862638
+0.0842611
+0.0822651
+0.0802771
+0.0782932
+0.0763207
+0.0743604
+0.0724132
+0.0704804
+0.0685631
+0.0666626
+0.0647804
+0.0629182
+0.0610779
+0.0592613
+0.0574709
+0.0557091
+0.0539774
+0.0522763
+0.0506129
+0.0489911
+0.0474149
+0.0458893
+0.0444193
+0.0430107
+0.0416615
+0.0403783
+0.0391756
+0.0380611
+0.0370428
+0.0361288
+0.0353271
+0.0346456
+0.0340915
+0.0336711
+0.0333719
+0.0332044
+0.033181
+0.0333021
+0.0335659
+0.0339693
+0.0345073
+0.0351738
+0.0359615
+0.0368628
+0.0378508
+0.0389345
+0.0401087
+0.0413656
+0.042698
+0.044099
+0.045561
+0.0470783
+0.048647
+0.0502622
+0.0519196
+0.0536153
+0.0553458
+0.0571079
+0.0588987
+0.0607158
+0.0625568
+0.0644198
+0.0663027
+0.068204
+0.0701052
+0.07164
+0.0732071
+0.0748055
+0.0764333
+0.0780886
+0.0797697
+0.0814696
+0.0831181
+0.0847911
+0.0864873
+0.0882053
+0.0899433
+0.0916962
+0.0934676
+0.0942368
+0.0945775
+0.0949651
+0.0953896
+0.0958571
+0.0963721
+0.096934
+0.0975417
+0.0981947
+0.0988918
+0.0996323
+0.100415
+0.101239
+0.102104
+0.102926
+0.10369
+0.104495
+0.105339
+0.106218
+0.107129
+0.0855516
+0.0835318
+0.0815208
+0.0795163
+0.0775203
+0.0755351
+0.0735575
+0.0715885
+0.0696328
+0.0676915
+0.0657658
+0.0638572
+0.0619673
+0.0600978
+0.0582508
+0.0564283
+0.0546328
+0.0528672
+0.0511344
+0.0494341
+0.0477722
+0.0461545
+0.0445857
+0.0430713
+0.0416171
+0.0402297
+0.0389063
+0.0376567
+0.0364958
+0.0354325
+0.0344758
+0.0336348
+0.0329183
+0.0323346
+0.031891
+0.0315848
+0.0314078
+0.0313831
+0.031511
+0.0317898
+0.0322154
+0.0327822
+0.033483
+0.0343096
+0.0352531
+0.036285
+0.0374141
+0.0386344
+0.0399378
+0.0413163
+0.0427626
+0.0442687
+0.0458289
+0.0474389
+0.0490938
+0.0507894
+0.0525216
+0.054287
+0.0560823
+0.0579049
+0.0597522
+0.061622
+0.0635124
+0.0654214
+0.0673477
+0.0689365
+0.0704968
+0.0720887
+0.0737114
+0.0753628
+0.0770411
+0.0787406
+0.0803853
+0.0820556
+0.0837499
+0.0854668
+0.0872049
+0.0889624
+0.0907343
+0.092524
+0.0930919
+0.0934367
+0.0938301
+0.0942643
+0.0947472
+0.0952695
+0.0958378
+0.0964525
+0.0971127
+0.0978176
+0.0985661
+0.0993573
+0.100159
+0.100959
+0.101749
+0.102513
+0.103318
+0.104162
+0.105042
+0.105953
+0.08489
+0.0828541
+0.0808262
+0.078807
+0.0767941
+0.0747896
+0.0727958
+0.0708137
+0.0688442
+0.0668803
+0.0649306
+0.0629967
+0.0610802
+0.0591827
+0.0573061
+0.0554526
+0.0536245
+0.0518245
+0.0500557
+0.0483215
+0.0466245
+0.0449655
+0.0433537
+0.0417946
+0.0402944
+0.0388598
+0.0374984
+0.036205
+0.0349961
+0.0338858
+0.0328841
+0.0320012
+0.0312473
+0.0306318
+0.0301632
+0.0298484
+0.0296642
+0.029638
+0.0297735
+0.0300683
+0.030518
+0.0311157
+0.0318532
+0.032721
+0.033709
+0.0347867
+0.0359629
+0.0372308
+0.0385816
+0.0400069
+0.0414988
+0.0430492
+0.044652
+0.0463029
+0.0479971
+0.0497301
+0.0514979
+0.0532972
+0.0551248
+0.056978
+0.0588544
+0.0607519
+0.0626685
+0.0646025
+0.0662675
+0.0678185
+0.0694039
+0.0710203
+0.0726669
+0.0743415
+0.0760399
+0.07768
+0.0793468
+0.0810385
+0.0827536
+0.0844907
+0.0862484
+0.0880251
+0.0898154
+0.0916232
+0.0919849
+0.0923339
+0.092732
+0.0931712
+0.0936597
+0.0941966
+0.0947796
+0.0954011
+0.0960686
+0.0967811
+0.0975154
+0.0982336
+0.0989728
+0.0997546
+0.100553
+0.101326
+0.10214
+0.102985
+0.10386
+0.104774
+0.0842802
+0.0822291
+0.0801854
+0.0781497
+0.0761226
+0.0741015
+0.0720887
+0.0700865
+0.068096
+0.0661181
+0.0641541
+0.0621986
+0.0602567
+0.0583324
+0.0564275
+0.0545442
+0.0526845
+0.0508513
+0.0490474
+0.0472762
+0.0455415
+0.0438476
+0.0421987
+0.0405962
+0.0390499
+0.0375678
+0.0361578
+0.0348149
+0.0335559
+0.0323963
+0.031347
+0.0304196
+0.0296254
+0.0289755
+0.0284796
+0.028146
+0.0279804
+0.0279558
+0.0280993
+0.0284116
+0.028887
+0.0295178
+0.0302942
+0.0312054
+0.0322399
+0.0333651
+0.0345896
+0.0359061
+0.0373049
+0.0387771
+0.0403146
+0.0419088
+0.0435536
+0.0452446
+0.046977
+0.0487462
+0.0505485
+0.0523804
+0.0542389
+0.0561214
+0.0580255
+0.0599492
+0.0618906
+0.0636374
+0.0651773
+0.0667536
+0.0683637
+0.0700042
+0.0716741
+0.0733705
+0.0750051
+0.0766674
+0.0783557
+0.0800684
+0.0818038
+0.0835607
+0.0853376
+0.0871328
+0.0886691
+0.0901877
+0.0909116
+0.0912647
+0.0916688
+0.0921173
+0.0926114
+0.0931543
+0.0937453
+0.0943835
+0.0950372
+0.0956507
+0.0963101
+0.0970145
+0.0977629
+0.0985544
+0.0993878
+0.100148
+0.100934
+0.101752
+0.102602
+0.103491
+0.0837232
+0.0816581
+0.0795998
+0.0775487
+0.0755055
+0.0734708
+0.0714417
+0.0694209
+0.0674107
+0.0654121
+0.0634262
+0.0614543
+0.0594967
+0.0575471
+0.0556153
+0.0537034
+0.0518137
+0.0499485
+0.0481107
+0.0463037
+0.0445311
+0.0427973
+0.0411071
+0.0394661
+0.0378808
+0.036354
+0.0348971
+0.0335102
+0.0322002
+0.0309899
+0.0298913
+0.0289172
+0.0280806
+0.027394
+0.026869
+0.0265151
+0.0263393
+0.0263451
+0.0265007
+0.0268315
+0.0273344
+0.0280002
+0.0288175
+0.0297739
+0.0308565
+0.0320303
+0.0333039
+0.0346693
+0.036116
+0.0376347
+0.039217
+0.0408541
+0.0425397
+0.0442695
+0.0460385
+0.0478425
+0.0496776
+0.0515404
+0.0534282
+0.0553382
+0.0572684
+0.0592167
+0.0610512
+0.0625781
+0.0641434
+0.0657446
+0.0673788
+0.0690427
+0.0707353
+0.072364
+0.0740207
+0.0757047
+0.077414
+0.079147
+0.0809022
+0.0826496
+0.0841058
+0.0855933
+0.0871105
+0.0886559
+0.0898745
+0.0902316
+0.0906403
+0.0910999
+0.0916034
+0.0921523
+0.0927119
+0.0932447
+0.0938187
+0.0944401
+0.0951078
+0.095821
+0.0965787
+0.0973797
+0.0981246
+0.0988661
+0.0996442
+0.100464
+0.101325
+0.102224
+0.0832202
+0.0811423
+0.0790706
+0.0770054
+0.0749474
+0.0728971
+0.0708551
+0.0688186
+0.0667903
+0.0647726
+0.0627664
+0.0607731
+0.0587937
+0.0568299
+0.0548786
+0.0529401
+0.0510221
+0.0491268
+0.0472571
+0.0454162
+0.0436075
+0.0418354
+0.0401047
+0.038421
+0.0367907
+0.0352166
+0.0337106
+0.0322831
+0.0309403
+0.0296787
+0.0285297
+0.0275074
+0.0266265
+0.0259014
+0.0253455
+0.0249701
+0.0247833
+0.0247894
+0.0249884
+0.0253424
+0.0258743
+0.0265767
+0.0274365
+0.0284394
+0.0295708
+0.0307937
+0.0321164
+0.0335301
+0.035024
+0.036588
+0.0382137
+0.039892
+0.0416165
+0.0433831
+0.0451869
+0.0470235
+0.0488894
+0.0507811
+0.0526961
+0.0546318
+0.056586
+0.0585147
+0.0600262
+0.0615785
+0.0631687
+0.0647939
+0.0664515
+0.068138
+0.0697604
+0.0714104
+0.0730888
+0.0747937
+0.0765234
+0.0781648
+0.0795825
+0.0810345
+0.0825192
+0.0840348
+0.0855796
+0.0871521
+0.0887509
+0.0892377
+0.0896536
+0.0900769
+0.09051
+0.0909939
+0.0914955
+0.0920283
+0.0926099
+0.0932393
+0.0939156
+0.0946378
+0.0954048
+0.0961432
+0.0968441
+0.0975891
+0.0983773
+0.0992077
+0.100079
+0.100983
+0.0827721
+0.0806827
+0.0785989
+0.076521
+0.0744495
+0.0723851
+0.0703284
+0.0682799
+0.0662365
+0.0642014
+0.0621768
+0.0601639
+0.0581639
+0.056178
+0.054208
+0.0522555
+0.0503135
+0.0483905
+0.0464912
+0.0446186
+0.0427763
+0.0409682
+0.0391992
+0.0374748
+0.0358015
+0.0341818
+0.0326281
+0.0311511
+0.0297621
+0.0284725
+0.0272728
+0.0262015
+0.0252751
+0.0245101
+0.0239219
+0.0235237
+0.0233254
+0.0233319
+0.0235432
+0.0239279
+0.0244905
+0.0252315
+0.0261355
+0.0271864
+0.0283679
+0.0296569
+0.0310334
+0.0324989
+0.034038
+0.0356454
+0.0373121
+0.0390287
+0.0407897
+0.0425906
+0.0444266
+0.0462934
+0.0481875
+0.0501058
+0.0520456
+0.0540046
+0.0559808
+0.057528
+0.0590647
+0.0606416
+0.0622557
+0.0639042
+0.0655843
+0.0671981
+0.0688405
+0.070512
+0.0722113
+0.0737326
+0.0751062
+0.0765178
+0.0779654
+0.079447
+0.0809608
+0.082505
+0.084078
+0.085678
+0.0873038
+0.0881558
+0.0884899
+0.0888768
+0.0893158
+0.0898059
+0.0903041
+0.0908438
+0.0914329
+0.0920704
+0.0927552
+0.0934864
+0.0942155
+0.0948801
+0.0955903
+0.096345
+0.0971433
+0.0979841
+0.0988615
+0.0997747
+0.0823799
+0.0802803
+0.0781857
+0.0760965
+0.0740132
+0.0719363
+0.0698663
+0.0678039
+0.0657498
+0.0637005
+0.0616595
+0.0596291
+0.0576105
+0.0556049
+0.0536138
+0.0516389
+0.049682
+0.0477434
+0.0458172
+0.0439159
+0.0420428
+0.0402018
+0.0383975
+0.0366354
+0.0349219
+0.0332594
+0.0316605
+0.030136
+0.028698
+0.0273599
+0.0261373
+0.025018
+0.0240461
+0.0232406
+0.0226194
+0.0221979
+0.0219876
+0.0219945
+0.0222185
+0.0226316
+0.0232257
+0.0240057
+0.0249542
+0.0260528
+0.0272834
+0.0286213
+0.0300453
+0.0315572
+0.033145
+0.0347984
+0.0365083
+0.0382657
+0.0400603
+0.0418926
+0.0437578
+0.045652
+0.0475717
+0.0495138
+0.0514759
+0.0534558
+0.0550907
+0.0566088
+0.0581699
+0.0597704
+0.0614074
+0.0630679
+0.064668
+0.0663019
+0.0679672
+0.0693632
+0.0706859
+0.0720509
+0.0734559
+0.0748986
+0.0763769
+0.0778887
+0.0794323
+0.0810056
+0.0826071
+0.0842351
+0.0858881
+0.0869328
+0.087293
+0.0877065
+0.0881598
+0.0886458
+0.0891505
+0.0896972
+0.0902938
+0.0909392
+0.0916325
+0.0923473
+0.0929736
+0.093647
+0.0943665
+0.0951309
+0.0959393
+0.0967906
+0.0976759
+0.0986001
+0.0820443
+0.0799359
+0.0778321
+0.0757331
+0.0736395
+0.0715517
+0.0694703
+0.0673958
+0.0653289
+0.0632702
+0.0612162
+0.0591706
+0.0571358
+0.055113
+0.0531034
+0.0511087
+0.0491308
+0.0471716
+0.0452337
+0.0433128
+0.0414124
+0.0395421
+0.0377062
+0.0359102
+0.0341603
+0.0324589
+0.0308184
+0.0292501
+0.0277662
+0.026381
+0.0251107
+0.0239736
+0.0229607
+0.0221158
+0.021462
+0.0210173
+0.020795
+0.0208024
+0.0210391
+0.0214811
+0.0221061
+0.0229243
+0.0239157
+0.0250599
+0.0263369
+0.0277205
+0.0291885
+0.0307425
+0.0323703
+0.0340613
+0.0358065
+0.0375967
+0.0394217
+0.0412824
+0.043174
+0.0450927
+0.0470352
+0.0489986
+0.0509805
+0.0527229
+0.0542188
+0.0557607
+0.0573448
+0.0589677
+0.060602
+0.0621884
+0.0638039
+0.0650613
+0.0663328
+0.0676438
+0.0689994
+0.0703971
+0.0718345
+0.0733091
+0.0748188
+0.0763615
+0.0779353
+0.0795383
+0.0811687
+0.082825
+0.0845056
+0.0856848
+0.0860504
+0.08647
+0.0869427
+0.0874678
+0.0880068
+0.0885815
+0.0891939
+0.0898472
+0.0905436
+0.0911297
+0.0917643
+0.0924465
+0.0931752
+0.0939494
+0.0947679
+0.0956296
+0.0965254
+0.0974606
+0.0817661
+0.0796503
+0.0775387
+0.0754316
+0.0733294
+0.0712325
+0.0691415
+0.0670568
+0.0649791
+0.062909
+0.0608474
+0.0587903
+0.0567418
+0.0547044
+0.0526792
+0.0506679
+0.048672
+0.0466936
+0.044735
+0.0427989
+0.0408885
+0.0389944
+0.0371315
+0.0353063
+0.0335248
+0.0317894
+0.0301125
+0.0285054
+0.0269806
+0.0255527
+0.0242391
+0.0230591
+0.0220227
+0.0211402
+0.0204553
+0.0199882
+0.0197544
+0.0197621
+0.0200111
+0.0204816
+0.0211362
+0.0219904
+0.0230221
+0.0242086
+0.0255282
+0.0269615
+0.0284747
+0.0300657
+0.0317283
+0.0334517
+0.0352271
+0.0370453
+0.0388962
+0.0407809
+0.0426947
+0.044634
+0.0465956
+0.0485768
+0.0504343
+0.0519037
+0.0534226
+0.0549868
+0.0565925
+0.0581966
+0.059631
+0.0608167
+0.0620571
+0.063309
+0.064607
+0.0659523
+0.067342
+0.0687734
+0.070244
+0.0717513
+0.0732931
+0.0748673
+0.0764718
+0.0781048
+0.0797646
+0.0814494
+0.0831578
+0.0844609
+0.0848318
+0.0852573
+0.0857368
+0.0862692
+0.086837
+0.0874195
+0.0880526
+0.0887353
+0.0893551
+0.089949
+0.0905918
+0.0912828
+0.0920207
+0.0928045
+0.093633
+0.094505
+0.0954108
+0.0963568
+0.0815457
+0.0794241
+0.0773063
+0.0751927
+0.0730836
+0.0709795
+0.0688808
+0.066788
+0.0647016
+0.0626224
+0.060551
+0.0584883
+0.0564301
+0.054381
+0.0523434
+0.0503186
+0.0483083
+0.0463144
+0.044339
+0.0423848
+0.0404549
+0.0385528
+0.0366788
+0.0348298
+0.0330227
+0.0312594
+0.0295525
+0.0279131
+0.0263541
+0.0248903
+0.0235397
+0.0223228
+0.0212505
+0.0203346
+0.0196216
+0.0191341
+0.0188897
+0.0188978
+0.0191581
+0.0196604
+0.0203485
+0.0212344
+0.0223011
+0.023524
+0.02488
+0.0263485
+0.0279105
+0.0295363
+0.031227
+0.0329767
+0.0347763
+0.0366169
+0.0384885
+0.0403921
+0.0423235
+0.0442791
+0.0462558
+0.0482362
+0.049674
+0.0511653
+0.0527054
+0.0542903
+0.0555721
+0.0566734
+0.0578368
+0.0590585
+0.0602927
+0.0615764
+0.0629102
+0.064291
+0.0657158
+0.0671819
+0.0686865
+0.0702273
+0.0718018
+0.073408
+0.0750437
+0.0767071
+0.0783965
+0.0801101
+0.0818465
+0.0832767
+0.0836528
+0.0840843
+0.0845704
+0.0851101
+0.0856993
+0.0862911
+0.0869341
+0.0876271
+0.0882051
+0.0888066
+0.0894577
+0.0901573
+0.0909044
+0.0916977
+0.0925361
+0.0934096
+0.0943248
+0.0951684
+0.0813818
+0.0792578
+0.0771355
+0.0750171
+0.0729029
+0.0707934
+0.068689
+0.0665901
+0.0644974
+0.0624114
+0.0603328
+0.0582624
+0.056201
+0.0541444
+0.0520976
+0.0500628
+0.0480418
+0.0460364
+0.0440485
+0.0420809
+0.0401363
+0.0382184
+0.0363313
+0.0344802
+0.0326595
+0.0308761
+0.0291467
+0.0274832
+0.0258983
+0.0244072
+0.0230283
+0.0217828
+0.0206825
+0.0197403
+0.019005
+0.0185013
+0.0182485
+0.0182568
+0.0185261
+0.0190451
+0.0197678
+0.0206787
+0.0217726
+0.0230235
+0.0244049
+0.0258957
+0.0274805
+0.0291439
+0.0308732
+0.032642
+0.0344558
+0.0363065
+0.0381933
+0.040111
+0.0420553
+0.0440228
+0.0460105
+0.0475417
+0.0489999
+0.0505111
+0.051659
+0.05266
+0.0537317
+0.05487
+0.0560708
+0.0572851
+0.0585528
+0.0598738
+0.0612447
+0.0626622
+0.0641233
+0.0656249
+0.0671644
+0.0687393
+0.0703472
+0.0719858
+0.0736531
+0.0753472
+0.0770664
+0.078809
+0.0805734
+0.0820973
+0.08249
+0.0829388
+0.0834427
+0.0839922
+0.0845562
+0.0851559
+0.0858074
+0.0865095
+0.0870949
+0.087704
+0.0883632
+0.0890715
+0.0898276
+0.0906303
+0.0914696
+0.092352
+0.0931982
+0.0939946
+0.081265
+0.0791399
+0.0770184
+0.0749008
+0.0727876
+0.0706748
+0.0685667
+0.066464
+0.0643671
+0.0622768
+0.0601935
+0.0581182
+0.0560516
+0.0539947
+0.051943
+0.049902
+0.0478742
+0.0458614
+0.0438657
+0.0418894
+0.0399355
+0.0380075
+0.0361094
+0.0342463
+0.0324125
+0.0306186
+0.0288796
+0.0272059
+0.0256103
+0.0241083
+0.0227175
+0.021454
+0.0203359
+0.0193768
+0.0186272
+0.018113
+0.0178546
+0.0178632
+0.0181383
+0.0186681
+0.0194049
+0.020332
+0.0214436
+0.0227127
+0.0241118
+0.0256198
+0.0272206
+0.028899
+0.0306421
+0.0324286
+0.0342488
+0.0361102
+0.0380067
+0.0399333
+0.0418859
+0.043861
+0.045519
+0.0469393
+0.0479275
+0.0488085
+0.0497704
+0.0508086
+0.0519185
+0.0530894
+0.0542877
+0.0555374
+0.0568441
+0.0582039
+0.0596132
+0.0610686
+0.0625669
+0.064105
+0.0656801
+0.0672898
+0.0689314
+0.0706029
+0.0723022
+0.0740272
+0.0757763
+0.0775479
+0.0793404
+0.0809512
+0.0813494
+0.0818045
+0.0822964
+0.0828398
+0.0834372
+0.0840626
+0.0847225
+0.0854335
+0.0860262
+0.0866428
+0.0873101
+0.0880268
+0.0887917
+0.0895947
+0.0904424
+0.0912277
+0.0919734
+0.092765
+0.0812023
+0.0790755
+0.0769522
+0.0748328
+0.0727176
+0.0706071
+0.0685015
+0.0664015
+0.0643075
+0.062219
+0.0601338
+0.0580563
+0.0559874
+0.0539282
+0.0518771
+0.0498338
+0.0478035
+0.045788
+0.0437894
+0.04181
+0.0398526
+0.0379208
+0.0360185
+0.0341508
+0.0323124
+0.0305127
+0.0287672
+0.0270866
+0.0254835
+0.0239736
+0.0225756
+0.0213114
+0.0202063
+0.0192573
+0.0185028
+0.017985
+0.0177248
+0.0177334
+0.0180105
+0.018544
+0.0192855
+0.0202181
+0.0213356
+0.0226107
+0.0240158
+0.0255294
+0.0271356
+0.028819
+0.0305666
+0.0323573
+0.0341813
+0.0360462
+0.0379459
+0.0398755
+0.0418308
+0.0435556
+0.0443035
+0.0451453
+0.04599
+0.0469074
+0.0479075
+0.0489852
+0.0501201
+0.0513016
+0.0525317
+0.0538222
+0.0551695
+0.0565695
+0.0580186
+0.059513
+0.0610494
+0.0626248
+0.0642363
+0.0658812
+0.0675571
+0.0692618
+0.0709931
+0.0727492
+0.0745283
+0.0763238
+0.0781129
+0.0797588
+0.0801399
+0.0805788
+0.0810746
+0.0816261
+0.0822323
+0.082892
+0.0836039
+0.0843665
+0.0850006
+0.0856246
+0.0862997
+0.0870247
+0.0877892
+0.0885999
+0.0893052
+0.0900136
+0.0907693
+0.0915643
+0.0811921
+0.0790679
+0.0769474
+0.0748288
+0.0727136
+0.0706029
+0.0684972
+0.066397
+0.0643029
+0.0622155
+0.0601353
+0.0580633
+0.0560004
+0.0539437
+0.0518893
+0.0498465
+0.0478167
+0.0458018
+0.0438038
+0.0418251
+0.0398686
+0.0379376
+0.0360364
+0.0341699
+0.0323441
+0.0305638
+0.0288214
+0.0271441
+0.0255447
+0.0240386
+0.0226446
+0.0213845
+0.0202834
+0.0193611
+0.0186108
+0.0180962
+0.0178375
+0.0178461
+0.0181215
+0.0186518
+0.0194141
+0.0203408
+0.021452
+0.0227206
+0.0241192
+0.0256268
+0.0272272
+0.0289052
+0.030648
+0.0324341
+0.0342541
+0.0361152
+0.0380114
+0.0399378
+0.0408502
+0.0415418
+0.0423253
+0.0432056
+0.0440762
+0.0450326
+0.0460734
+0.0471674
+0.0483226
+0.0495373
+0.0508094
+0.0521425
+0.0535321
+0.0549739
+0.0564639
+0.0579984
+0.0595739
+0.0611873
+0.0628356
+0.0645163
+0.0662267
+0.0679648
+0.0697283
+0.0715083
+0.0732839
+0.0750815
+0.0768995
+0.0785587
+0.0789456
+0.079391
+0.0798941
+0.0804538
+0.0810687
+0.0817378
+0.0824597
+0.083233
+0.0840195
+0.0846508
+0.0853335
+0.0860573
+0.0868237
+0.0874456
+0.0881008
+0.0888051
+0.0895576
+0.0903569
+0.0812335
+0.0791131
+0.0769939
+0.0748788
+0.0727682
+0.0706624
+0.068562
+0.0664648
+0.0643729
+0.0622878
+0.0602102
+0.0581409
+0.0560808
+0.0540296
+0.0519846
+0.049952
+0.0479302
+0.0459203
+0.0439277
+0.0419548
+0.0400046
+0.0380806
+0.0361869
+0.0343285
+0.0325116
+0.0307434
+0.0290329
+0.0273774
+0.0257924
+0.0243017
+0.0229237
+0.0216799
+0.0205946
+0.0196868
+0.0189494
+0.0184442
+0.0181906
+0.018199
+0.0184691
+0.0189897
+0.019741
+0.0206653
+0.0217599
+0.0230115
+0.024396
+0.025892
+0.0274814
+0.0291489
+0.0308818
+0.0326581
+0.0344662
+0.0363164
+0.0376469
+0.0382034
+0.0388195
+0.0395467
+0.0403691
+0.0412834
+0.0421894
+0.0431876
+0.0442346
+0.0453587
+0.0465565
+0.0478075
+0.0491244
+0.050502
+0.0519355
+0.0534204
+0.0549526
+0.0565281
+0.0581435
+0.0597955
+0.0614811
+0.0631978
+0.064943
+0.0667048
+0.0684649
+0.0702491
+0.0720558
+0.0738833
+0.07573
+0.0774019
+0.0777945
+0.0782466
+0.078757
+0.0793246
+0.0799483
+0.0806267
+0.0813584
+0.0821357
+0.0829362
+0.0837229
+0.0844036
+0.0850522
+0.0856228
+0.0862361
+0.0869004
+0.0876145
+0.0883771
+0.089187
+0.0813251
+0.0792072
+0.0770933
+0.0749838
+0.0728791
+0.0707797
+0.0686841
+0.0665933
+0.0645092
+0.0624324
+0.0603636
+0.0583007
+0.0562464
+0.0542016
+0.0521633
+0.0501379
+0.048127
+0.0461324
+0.0441564
+0.042198
+0.0402596
+0.0383483
+0.0364685
+0.0346253
+0.0328248
+0.0310745
+0.0293832
+0.0277619
+0.0262215
+0.0247566
+0.0234054
+0.0221886
+0.0211295
+0.0202457
+0.0195294
+0.0190396
+0.018794
+0.0188021
+0.0190637
+0.0195685
+0.0202984
+0.0212054
+0.0222747
+0.023499
+0.0248563
+0.0263262
+0.0278909
+0.0295353
+0.0312468
+0.0330073
+0.0347904
+0.0351264
+0.0355943
+0.0361568
+0.0368071
+0.0375735
+0.0384382
+0.039365
+0.0403278
+0.041326
+0.042414
+0.043585
+0.0448188
+0.046117
+0.0474808
+0.0489047
+0.0503837
+0.051913
+0.0534883
+0.0551057
+0.0567616
+0.0584526
+0.0601759
+0.0619163
+0.0636579
+0.0654266
+0.0672201
+0.0690365
+0.0708741
+0.0727313
+0.0746065
+0.0762352
+0.0766337
+0.0770925
+0.0776105
+0.0781864
+0.078819
+0.079507
+0.0802488
+0.0810208
+0.0818323
+0.0826813
+0.0833582
+0.0838748
+0.0844441
+0.0850659
+0.0857393
+0.0864629
+0.0872356
+0.0880535
+0.0814756
+0.0793617
+0.077252
+0.075147
+0.073047
+0.0709525
+0.068864
+0.066782
+0.0647072
+0.0626403
+0.0605815
+0.0585293
+0.0564875
+0.0544573
+0.0524329
+0.0504184
+0.0484191
+0.0464371
+0.0444747
+0.0425345
+0.0406199
+0.0387345
+0.0368784
+0.0350567
+0.0332796
+0.0315545
+0.0298904
+0.0282982
+0.02679
+0.0253597
+0.0240435
+0.0228617
+0.0218363
+0.0209902
+0.0203301
+0.0198601
+0.0196247
+0.0196325
+0.0198831
+0.0203676
+0.0210699
+0.021945
+0.0229835
+0.0241758
+0.0254972
+0.0269321
+0.0284635
+0.0300766
+0.0317589
+0.0324921
+0.0327052
+0.0330625
+0.0335592
+0.034128
+0.0348163
+0.0356256
+0.0365336
+0.0374759
+0.038447
+0.0394928
+0.0406299
+0.0418459
+0.0431223
+0.04447
+0.0458828
+0.0473548
+0.0488807
+0.0504556
+0.052075
+0.053735
+0.0554318
+0.0571464
+0.0588661
+0.0606162
+0.0623941
+0.0641976
+0.0660245
+0.067873
+0.0697412
+0.0716278
+0.0735311
+0.0750172
+0.0754222
+0.0758883
+0.0764144
+0.0769993
+0.0776416
+0.0783399
+0.0790927
+0.0798985
+0.0807557
+0.081644
+0.0822065
+0.0827292
+0.0833063
+0.0839366
+0.084619
+0.0853521
+0.0861343
+0.0869571
+0.0816845
+0.0795761
+0.0774723
+0.0753735
+0.07328
+0.0711923
+0.0691111
+0.0670368
+0.0649701
+0.0629119
+0.0608628
+0.0588241
+0.0567966
+0.0547816
+0.0527807
+0.0507919
+0.0488079
+0.0468423
+0.0448976
+0.0429766
+0.0410826
+0.0392195
+0.0373919
+0.0356053
+0.0338662
+0.0321768
+0.0305466
+0.0289905
+0.0275203
+0.02613
+0.0248545
+0.0237132
+0.0227263
+0.0219146
+0.0212982
+0.020877
+0.0206533
+0.0206607
+0.020899
+0.0213604
+0.0220311
+0.0228713
+0.0238696
+0.0250202
+0.0263034
+0.0276985
+0.0291897
+0.030377
+0.0303169
+0.0304072
+0.0306348
+0.0310159
+0.0315258
+0.0321206
+0.0328509
+0.0337076
+0.0346285
+0.0356022
+0.0366007
+0.0376977
+0.0388874
+0.0401434
+0.0414722
+0.0428718
+0.0443356
+0.0458573
+0.0474314
+0.0490528
+0.050717
+0.0524002
+0.0540934
+0.0558212
+0.0575805
+0.0593685
+0.0611827
+0.0630209
+0.0648809
+0.066761
+0.068653
+0.0705468
+0.0724572
+0.0738336
+0.0742514
+0.0747247
+0.0752589
+0.0758526
+0.0765045
+0.077213
+0.0779767
+0.0787938
+0.0796629
+0.0805821
+0.0810857
+0.0816185
+0.0822062
+0.0828469
+0.0835302
+0.0842646
+0.085049
+0.0858822
+0.0818076
+0.0797234
+0.0776451
+0.0755732
+0.0735081
+0.0714506
+0.0694011
+0.0673606
+0.0653055
+0.0632581
+0.0612207
+0.0591942
+0.0571799
+0.055179
+0.053193
+0.0512237
+0.0492732
+0.0473436
+0.0454225
+0.0435246
+0.0416555
+0.0398192
+0.0380204
+0.0362648
+0.0345589
+0.0329105
+0.0313286
+0.0298238
+0.0284011
+0.0270562
+0.0258265
+0.0247301
+0.0237854
+0.0230111
+0.0224248
+0.0220372
+0.0218253
+0.0218323
+0.022058
+0.0224957
+0.0231335
+0.0239553
+0.0249172
+0.0260216
+0.0272576
+0.0286082
+0.028539
+0.0283059
+0.0282414
+0.0283382
+0.0285824
+0.0289905
+0.0295039
+0.0301386
+0.0309158
+0.0318247
+0.032741
+0.0337269
+0.0347943
+0.0359341
+0.0371554
+0.0384627
+0.0398477
+0.0413024
+0.0428199
+0.0443936
+0.0460179
+0.0476848
+0.0493453
+0.0510458
+0.0527825
+0.0545518
+0.0563508
+0.0581766
+0.0600269
+0.0618993
+0.0637754
+0.0656636
+0.06757
+0.0694933
+0.0714319
+0.0726363
+0.0731053
+0.0735926
+0.074135
+0.0747376
+0.0753991
+0.0761179
+0.0768925
+0.077721
+0.078602
+0.0795137
+0.079997
+0.0805369
+0.0811317
+0.0817707
+0.0824625
+0.0832063
+0.0840006
+0.0848441
+0.0819853
+0.079906
+0.0778326
+0.0757658
+0.0737061
+0.0716543
+0.0696108
+0.0675766
+0.0655525
+0.0635394
+0.0615385
+0.0595509
+0.0575781
+0.0556216
+0.0536831
+0.0517413
+0.049811
+0.0479031
+0.0460204
+0.0441661
+0.0423323
+0.0405286
+0.0387628
+0.0370424
+0.035374
+0.0337654
+0.0322254
+0.0307645
+0.0293944
+0.0281105
+0.026929
+0.0258793
+0.0249781
+0.0242419
+0.0236862
+0.0233238
+0.0231458
+0.0231524
+0.0233653
+0.023779
+0.0243832
+0.0251642
+0.0261055
+0.0271631
+0.0272127
+0.0268362
+0.0265054
+0.0262543
+0.0261847
+0.026289
+0.026552
+0.0269895
+0.0275079
+0.0281876
+0.0290171
+0.0299269
+0.0308553
+0.0318839
+0.0329927
+0.0341786
+0.0354604
+0.0368279
+0.0382721
+0.0397845
+0.0413577
+0.042985
+0.0446298
+0.0462962
+0.0480047
+0.0497511
+0.0515314
+0.0533422
+0.0551806
+0.0570415
+0.0589011
+0.0607828
+0.0626846
+0.0646047
+0.0665415
+0.0684937
+0.0704598
+0.071486
+0.0719626
+0.0725022
+0.0730595
+0.0736709
+0.0743419
+0.0750708
+0.075856
+0.0766958
+0.0775884
+0.0783492
+0.078954
+0.0795003
+0.0800924
+0.0807392
+0.0814398
+0.0821928
+0.0829702
+0.083793
+0.082211
+0.0801398
+0.0780752
+0.0760176
+0.0739674
+0.0719241
+0.0698886
+0.0678627
+0.0658474
+0.0638436
+0.0618525
+0.0598754
+0.0579136
+0.0559688
+0.0540428
+0.0521378
+0.050256
+0.0484002
+0.0465735
+0.0447795
+0.0430221
+0.0412889
+0.0395687
+0.037897
+0.0362806
+0.0347264
+0.0332319
+0.0318181
+0.0304963
+0.0292759
+0.0281433
+0.0271407
+0.0262828
+0.0255842
+0.0250582
+0.0247159
+0.0245649
+0.024594
+0.0247945
+0.0251847
+0.025756
+0.0264966
+0.0265879
+0.025851
+0.025283
+0.0248349
+0.0244846
+0.024227
+0.0241516
+0.0242646
+0.0245493
+0.0249847
+0.0255439
+0.0262744
+0.0271624
+0.0280231
+0.0290016
+0.0300827
+0.0312255
+0.032476
+0.0338224
+0.0352535
+0.0367596
+0.0383317
+0.0399542
+0.0415809
+0.043254
+0.0449714
+0.0467284
+0.0485207
+0.0503446
+0.052182
+0.0540313
+0.0559052
+0.0578015
+0.0597178
+0.0616525
+0.0636037
+0.0655701
+0.0675503
+0.0695431
+0.0703172
+0.0708016
+0.07135
+0.0719609
+0.0726328
+0.0733349
+0.0740737
+0.0748694
+0.0756841
+0.0765175
+0.077202
+0.0779137
+0.0784794
+0.0790997
+0.0797313
+0.0804074
+0.0811356
+0.081916
+0.0827471
+0.0824933
+0.0804294
+0.0783723
+0.0763227
+0.0742812
+0.0722484
+0.0702251
+0.0682122
+0.0662105
+0.0642204
+0.0622421
+0.0602778
+0.0583295
+0.0563991
+0.0544883
+0.0525994
+0.0507347
+0.0488954
+0.0470823
+0.0453025
+0.0435602
+0.0418601
+0.0402074
+0.0386084
+0.0370699
+0.0355998
+0.0342068
+0.0329009
+0.031675
+0.0305058
+0.0294523
+0.0285148
+0.0276995
+0.0270375
+0.0265403
+0.0262174
+0.0260751
+0.0261165
+0.0263215
+0.0266894
+0.0267294
+0.0256969
+0.0247824
+0.0239823
+0.0233416
+0.0228229
+0.0224478
+0.0222308
+0.0221486
+0.0222716
+0.0225619
+0.0229955
+0.0236197
+0.0244079
+0.0252535
+0.0261643
+0.0271773
+0.0283016
+0.0295151
+0.0308351
+0.03225
+0.0337479
+0.0353182
+0.036904
+0.0385361
+0.0402202
+0.0419476
+0.0437164
+0.0455218
+0.0473306
+0.0491672
+0.0510316
+0.0529211
+0.054833
+0.0567651
+0.0587153
+0.0606819
+0.0626634
+0.0646584
+0.066608
+0.0684915
+0.0691354
+0.069628
+0.0701854
+0.0708061
+0.0714886
+0.0722217
+0.0729591
+0.0737541
+0.0745975
+0.0754346
+0.0761005
+0.0768231
+0.0774302
+0.0780157
+0.0786483
+0.0793322
+0.0800703
+0.080861
+0.0817028
+0.0828325
+0.0807773
+0.0787294
+0.0766893
+0.0746578
+0.0726355
+0.0706229
+0.0686188
+0.0666264
+0.0646469
+0.0626814
+0.0607313
+0.0587981
+0.0568837
+0.0549898
+0.0531188
+0.0512732
+0.0494556
+0.0476695
+0.0459174
+0.0441993
+0.0425248
+0.040899
+0.0393281
+0.0378188
+0.036379
+0.0350171
+0.0337425
+0.0325655
+0.0314877
+0.0305289
+0.029701
+0.0290153
+0.0284819
+0.0281097
+0.0278064
+0.0276723
+0.0277113
+0.027633
+0.0262974
+0.0250612
+0.0239574
+0.0229523
+0.0220945
+0.0214003
+0.0208333
+0.0204398
+0.0202542
+0.0201845
+0.0202885
+0.0205471
+0.0210186
+0.0216931
+0.0225093
+0.0233797
+0.0243192
+0.0253811
+0.0265815
+0.0278721
+0.0292663
+0.0307534
+0.0322916
+0.0338625
+0.0354992
+0.037193
+0.0389352
+0.040706
+0.0424901
+0.0443106
+0.0461633
+0.0480445
+0.0499509
+0.0518797
+0.0538286
+0.0557955
+0.0577784
+0.0597759
+0.0617271
+0.0636042
+0.0655008
+0.0674153
+0.0679424
+0.0684572
+0.0690273
+0.0696586
+0.0703525
+0.0710583
+0.0718076
+0.0726153
+0.0734794
+0.0743715
+0.0750468
+0.0757733
+0.0763309
+0.076947
+0.0775933
+0.0782865
+0.0790343
+0.0798353
+0.080603
+0.0828934
+0.0811829
+0.0791432
+0.0771116
+0.0750889
+0.0730759
+0.0710734
+0.0690824
+0.0671038
+0.0651387
+0.0631885
+0.0612546
+0.0593385
+0.057442
+0.0555672
+0.0537163
+0.0518919
+0.0500968
+0.0483344
+0.0466083
+0.0449227
+0.0432824
+0.0416927
+0.0401545
+0.0386775
+0.0372709
+0.0359428
+0.0346945
+0.0335418
+0.032496
+0.0315679
+0.030768
+0.0301066
+0.0295929
+0.0292348
+0.029038
+0.0290057
+0.027662
+0.0261909
+0.024785
+0.0234695
+0.0222845
+0.0211908
+0.0202585
+0.0195117
+0.0188883
+0.0184538
+0.0182604
+0.018173
+0.0182347
+0.0185226
+0.0190437
+0.0197616
+0.0206323
+0.0215276
+0.0225082
+0.0236515
+0.0249353
+0.026309
+0.0277772
+0.0292627
+0.0308323
+0.0324739
+0.0341772
+0.035908
+0.0376645
+0.0394644
+0.0413022
+0.0431728
+0.0450723
+0.0469972
+0.0489444
+0.0509114
+0.052896
+0.0548962
+0.0568493
+0.0587189
+0.06061
+0.0625207
+0.0644492
+0.066335
+0.0667903
+0.0673138
+0.0678935
+0.0685353
+0.0692404
+0.0699421
+0.0707033
+0.0715236
+0.0724008
+0.0733249
+0.074043
+0.0747119
+0.0752774
+0.075902
+0.0765837
+0.0772859
+0.0780433
+0.0786866
+0.079354
+0.0816814
+0.0806641
+0.0796058
+0.0775863
+0.0755763
+0.0735766
+0.0715882
+0.0696118
+0.0676487
+0.0656999
+0.0637669
+0.0618511
+0.059954
+0.0580777
+0.0562241
+0.0543955
+0.0525947
+0.0508244
+0.0490881
+0.0473895
+0.0457327
+0.0441226
+0.0425643
+0.0410637
+0.0396275
+0.0382524
+0.0369512
+0.0357371
+0.0346191
+0.0336069
+0.0327103
+0.031939
+0.0313023
+0.0308086
+0.0304648
+0.0296827
+0.0279758
+0.0263405
+0.0247779
+0.023273
+0.0218823
+0.0206193
+0.0194978
+0.0184999
+0.0176771
+0.0170031
+0.0165191
+0.0163028
+0.0161462
+0.0162168
+0.0165399
+0.0171092
+0.0178678
+0.0188053
+0.0197036
+0.0207704
+0.0220043
+0.0233781
+0.0247776
+0.0262499
+0.0278171
+0.0294638
+0.0311413
+0.0328605
+0.034633
+0.036451
+0.038308
+0.0401986
+0.0421183
+0.0440633
+0.0460303
+0.0480168
+0.0500036
+0.051975
+0.0538359
+0.0557205
+0.0576267
+0.0595525
+0.061496
+0.0634557
+0.065228
+0.065691
+0.0662201
+0.0668069
+0.0674599
+0.0681548
+0.0688661
+0.0696309
+0.0704504
+0.0713277
+0.0722609
+0.073091
+0.0736771
+0.0742505
+0.0748837
+0.075575
+0.0762702
+0.0768446
+0.0774687
+0.0781465
+0.080502
+0.0794775
+0.0784928
+0.0775575
+0.0760854
+0.0741006
+0.0721277
+0.0701677
+0.0682217
+0.0662911
+0.064377
+0.0624812
+0.0606052
+0.0587511
+0.0569208
+0.0551167
+0.0533403
+0.0515947
+0.0498837
+0.0482116
+0.0465826
+0.0449959
+0.0434604
+0.041983
+0.0405702
+0.0392288
+0.0379666
+0.0367917
+0.0357125
+0.0347355
+0.0338688
+0.0331245
+0.032511
+0.0320359
+0.030438
+0.0286234
+0.0268493
+0.0251095
+0.0234397
+0.0218621
+0.0203765
+0.0190263
+0.0178196
+0.0167544
+0.0158695
+0.0152
+0.0146263
+0.0143098
+0.0141661
+0.01425
+0.0146166
+0.015218
+0.0160329
+0.0170013
+0.0179617
+0.019126
+0.0204592
+0.0218055
+0.0232596
+0.0248222
+0.0264229
+0.0280892
+0.0298235
+0.0316144
+0.033453
+0.0353317
+0.0372446
+0.0391865
+0.0411535
+0.0431419
+0.0451072
+0.0470796
+0.048956
+0.0508327
+0.0527336
+0.0546562
+0.0565983
+0.0585579
+0.0605283
+0.0625112
+0.0641605
+0.0646167
+0.0651435
+0.0657386
+0.0663875
+0.0670987
+0.0678074
+0.0685788
+0.0694107
+0.0703011
+0.0712478
+0.0721649
+0.0726842
+0.0732143
+0.0737935
+0.0744326
+0.0750827
+0.0756633
+0.0762943
+0.0769824
+0.0793627
+0.0783268
+0.0773338
+0.0763843
+0.0754865
+0.0746422
+0.0727159
+0.0707722
+0.0688434
+0.0669306
+0.0650354
+0.0631593
+0.0613041
+0.0594718
+0.0576644
+0.0558844
+0.0541346
+0.0524145
+0.0507253
+0.0490758
+0.04747
+0.0459127
+0.0444089
+0.0429641
+0.0415846
+0.0402771
+0.0390488
+0.0379074
+0.0368591
+0.0359101
+0.0350724
+0.0343542
+0.0333131
+0.0313963
+0.029502
+0.0276347
+0.0257987
+0.0239877
+0.0222338
+0.0205639
+0.0190001
+0.0175489
+0.0162592
+0.0150906
+0.0141321
+0.0133641
+0.0127178
+0.0123388
+0.0122066
+0.0123588
+0.0126755
+0.0132866
+0.0141429
+0.0151837
+0.0162498
+0.0174839
+0.0188739
+0.0203017
+0.0217841
+0.0233707
+0.0250484
+0.0268004
+0.0286128
+0.030475
+0.0323783
+0.034316
+0.0362824
+0.0382566
+0.0402112
+0.0421851
+0.0440803
+0.0459472
+0.0478416
+0.0497603
+0.0517007
+0.0536603
+0.0556307
+0.0576156
+0.059615
+0.0615474
+0.0630787
+0.0635427
+0.0640783
+0.0646834
+0.0653431
+0.0660658
+0.0667855
+0.0675685
+0.0684128
+0.069316
+0.070276
+0.0710586
+0.0715212
+0.0720474
+0.0726358
+0.0732851
+0.073941
+0.0745248
+0.0751649
+0.0758498
+0.0782682
+0.0772175
+0.0762154
+0.0752567
+0.0743452
+0.0734878
+0.0726863
+0.0714388
+0.0695285
+0.0676351
+0.0657602
+0.0639054
+0.0620725
+0.0602635
+0.0584801
+0.0567194
+0.0549895
+0.0532936
+0.0516333
+0.0500137
+0.0484391
+0.0469139
+0.0454432
+0.0440324
+0.0426875
+0.0414148
+0.04022
+0.0391074
+0.0380885
+0.0371709
+0.0363623
+0.0345296
+0.0325454
+0.030589
+0.0286365
+0.0267146
+0.0248309
+0.0229797
+0.0211615
+0.019416
+0.0177513
+0.0162122
+0.0147866
+0.0135205
+0.0124388
+0.0115776
+0.0109101
+0.0104179
+0.0102671
+0.0103298
+0.0106681
+0.0113711
+0.0123126
+0.0133354
+0.0145061
+0.0158726
+0.0172892
+0.0187446
+0.0203323
+0.0220236
+0.0237966
+0.0256342
+0.0275236
+0.0294547
+0.0314199
+0.0333623
+0.035316
+0.0372916
+0.0392102
+0.0410648
+0.0429511
+0.044865
+0.0468033
+0.0487629
+0.0507334
+0.0527206
+0.0547234
+0.0566643
+0.0585957
+0.0605189
+0.0620554
+0.062527
+0.0630712
+0.0636861
+0.0643564
+0.06509
+0.0658204
+0.0666148
+0.067471
+0.0683761
+0.0692955
+0.0699198
+0.0703898
+0.0709244
+0.0715221
+0.0721814
+0.0728434
+0.0734193
+0.0740556
+0.0747506
+0.077218
+0.0761532
+0.0751373
+0.0741697
+0.0732491
+0.0723813
+0.0715674
+0.0708119
+0.0701168
+0.0684015
+0.0665428
+0.0647048
+0.0628894
+0.0610986
+0.0593347
+0.0576001
+0.0558975
+0.05423
+0.0526008
+0.0510137
+0.0494728
+0.0479824
+0.0465474
+0.045173
+0.0438592
+0.0426167
+0.0414527
+0.0403742
+0.039388
+0.0379872
+0.0359303
+0.0338863
+0.0318618
+0.0298608
+0.0278884
+0.0259159
+0.0239813
+0.0220905
+0.02023
+0.0184009
+0.0166561
+0.0150049
+0.0134503
+0.0120812
+0.0108677
+0.00983968
+0.00904267
+0.00858741
+0.00844848
+0.00836063
+0.00874912
+0.00949961
+0.0104849
+0.0115817
+0.0128948
+0.0143012
+0.015728
+0.0173151
+0.0190224
+0.0208205
+0.0226876
+0.0246082
+0.0265514
+0.0284693
+0.0304218
+0.0323995
+0.0343483
+0.0361868
+0.0380627
+0.0399705
+0.0419061
+0.0438653
+0.0458362
+0.0478263
+0.0498331
+0.0517841
+0.0537123
+0.0556422
+0.0575417
+0.0594334
+0.0610936
+0.0615725
+0.062125
+0.0627492
+0.06343
+0.0641417
+0.0648953
+0.0657133
+0.0665492
+0.0674223
+0.0683546
+0.0688318
+0.0693092
+0.0698521
+0.0704589
+0.071128
+0.0717651
+0.0723496
+0.0729951
+0.0737002
+0.0762064
+0.0751274
+0.0740974
+0.0731161
+0.0721819
+0.0713029
+0.07048
+0.0697128
+0.0690066
+0.0683633
+0.0673663
+0.0655514
+0.0637602
+0.0619946
+0.0602569
+0.0585496
+0.0568754
+0.0552374
+0.0536389
+0.0520834
+0.050575
+0.0491181
+0.0477173
+0.0463776
+0.0450989
+0.0438915
+0.0427622
+0.0416823
+0.0395763
+0.0374801
+0.0353904
+0.0333133
+0.0312517
+0.0292089
+0.0271891
+0.0251979
+0.0231884
+0.0212075
+0.019272
+0.0173972
+0.0155893
+0.0138098
+0.012165
+0.0106496
+0.009305
+0.008211
+0.00730417
+0.00673174
+0.00648625
+0.00651793
+0.00691303
+0.00774238
+0.00870637
+0.0099817
+0.011345
+0.0127505
+0.0143324
+0.0160581
+0.0178858
+0.0197874
+0.0216709
+0.0235788
+0.0255292
+0.0275098
+0.0294984
+0.0313152
+0.0331772
+0.0350772
+0.0370093
+0.0389672
+0.0409395
+0.0429329
+0.0449447
+0.0469077
+0.0488319
+0.0507698
+0.0526913
+0.0545766
+0.0564782
+0.0583999
+0.0601961
+0.0606821
+0.0612427
+0.0618758
+0.0625328
+0.0632297
+0.063994
+0.0648189
+0.065642
+0.066527
+0.0673803
+0.0677972
+0.0682818
+0.0688328
+0.0694485
+0.0701223
+0.0707369
+0.0713298
+0.0719786
+0.0726807
+0.0752451
+0.0741521
+0.0731083
+0.0721136
+0.0711663
+0.0702746
+0.0694395
+0.0686606
+0.0679435
+0.0672901
+0.0667022
+0.0661817
+0.0645343
+0.0627858
+0.0610657
+0.0593766
+0.0577213
+0.0561026
+0.0545239
+0.0529888
+0.0515012
+0.0500652
+0.0486854
+0.0473668
+0.0461147
+0.0449345
+0.0434256
+0.0412924
+0.0391655
+0.037046
+0.0349353
+0.0328351
+0.0307476
+0.0286754
+0.0266222
+0.0245868
+0.0225331
+0.0205044
+0.018512
+0.0165537
+0.0146587
+0.012823
+0.0110371
+0.00936537
+0.00785529
+0.00661228
+0.00560956
+0.00487757
+0.00449401
+0.00462841
+0.00519418
+0.00590975
+0.0071327
+0.00841029
+0.00983676
+0.0114115
+0.0131555
+0.0149842
+0.0168008
+0.0186923
+0.0206395
+0.022624
+0.0246089
+0.0264535
+0.0282963
+0.0301855
+0.032113
+0.0340692
+0.0360432
+0.0380409
+0.0400587
+0.0420365
+0.0439556
+0.045899
+0.0478226
+0.0497271
+0.0516224
+0.0535391
+0.0554762
+0.0574315
+0.0593593
+0.0598587
+0.0604269
+0.0610243
+0.0616622
+0.0623706
+0.0631471
+0.0639553
+0.0647894
+0.0656859
+0.0663909
+0.0668139
+0.0673056
+0.0678645
+0.0684889
+0.0691703
+0.0697534
+0.0703485
+0.0709992
+0.0717109
+0.0743163
+0.0732293
+0.0721723
+0.0711644
+0.0702043
+0.0693002
+0.0684533
+0.067663
+0.0669352
+0.0662718
+0.0656749
+0.0651461
+0.0646873
+0.063517
+0.0618173
+0.0601493
+0.0585158
+0.0569197
+0.0553644
+0.0538532
+0.0523901
+0.0509792
+0.0496248
+0.0483319
+0.0471054
+0.0453139
+0.0431628
+0.0410159
+0.0388739
+0.0367376
+0.0346081
+0.0324868
+0.0303753
+0.0282759
+0.0261914
+0.0241257
+0.0220645
+0.0199884
+0.0179394
+0.0159283
+0.0139592
+0.0120496
+0.0101304
+0.00830567
+0.00662909
+0.00518518
+0.00398745
+0.00318572
+0.00266471
+0.00276963
+0.0032578
+0.00419662
+0.00550872
+0.00691645
+0.00846558
+0.0101753
+0.0119541
+0.0138145
+0.0157553
+0.0177451
+0.0197533
+0.0215856
+0.0234222
+0.0252964
+0.0272176
+0.0291713
+0.0311475
+0.0331507
+0.0351763
+0.037172
+0.0390848
+0.041025
+0.0429569
+0.0448875
+0.0467754
+0.0486859
+0.0506191
+0.0525724
+0.0545438
+0.0565314
+0.0585334
+0.0590893
+0.0596112
+0.0601845
+0.0608312
+0.0615492
+0.062336
+0.0631543
+0.0639987
+0.0649062
+0.065458
+0.065887
+0.0663856
+0.0669522
+0.067585
+0.0682754
+0.0688194
+0.0694153
+0.0700747
+0.0707957
+0.0733281
+0.0722782
+0.0712722
+0.0702707
+0.0692983
+0.0683822
+0.0675237
+0.0667225
+0.0659843
+0.0653113
+0.0647054
+0.0641687
+0.0637028
+0.0633094
+0.0626365
+0.0609909
+0.0593806
+0.0578084
+0.0562776
+0.0547916
+0.0533542
+0.0519428
+0.0505609
+0.049236
+0.0473299
+0.0451685
+0.0430102
+0.0408552
+0.0387043
+0.0365581
+0.0344176
+0.0322837
+0.030158
+0.0280423
+0.025939
+0.0238515
+0.021742
+0.0196409
+0.0175617
+0.015508
+0.0134345
+0.0114049
+0.00944752
+0.00755643
+0.00568132
+0.00393792
+0.00251839
+0.00152488
+0.000950905
+0.000908442
+0.0014688
+0.00264767
+0.00399775
+0.00548494
+0.00717813
+0.00895923
+0.010884
+0.0128811
+0.0148966
+0.0167131
+0.0185593
+0.0204106
+0.022323
+0.0242737
+0.026253
+0.0282635
+0.030299
+0.032317
+0.0342219
+0.0361576
+0.0380997
+0.040034
+0.0419405
+0.0438427
+0.0457708
+0.0477214
+0.0496921
+0.0516806
+0.0536847
+0.0557029
+0.0577099
+0.0582753
+0.05878
+0.0593612
+0.0600169
+0.0607445
+0.0615301
+0.0623196
+0.0631752
+0.0640943
+0.064586
+0.0650208
+0.0655259
+0.0660998
+0.0667408
+0.0673982
+0.0679359
+0.0685395
+0.0692072
+0.0699372
+0.0723735
+0.0713146
+0.0703072
+0.0693425
+0.0684201
+0.0675228
+0.0666532
+0.0658414
+0.0650932
+0.0644109
+0.0637965
+0.0632521
+0.0627794
+0.0623801
+0.0620557
+0.0617923
+0.0602946
+0.0587124
+0.0571704
+0.0556601
+0.0541945
+0.052779
+0.051418
+0.0494562
+0.0472906
+0.0451275
+0.0429671
+0.0408099
+0.0386565
+0.0365076
+0.0343639
+0.0322266
+0.0300969
+0.0279552
+0.0258108
+0.0236749
+0.0215501
+0.0194398
+0.0173461
+0.0152414
+0.013125
+0.0110376
+0.00899944
+0.00698257
+0.0050278
+0.00309735
+0.00135905
+4.98215e-05
+-0.000692714
+-0.000871084
+-0.000149228
+0.00113913
+0.00258831
+0.00420556
+0.0060567
+0.00804609
+0.0100079
+0.0118622
+0.013699
+0.0155308
+0.0174288
+0.0193766
+0.0213603
+0.023381
+0.0254299
+0.0274464
+0.0293709
+0.0312999
+0.0332545
+0.0351824
+0.0371223
+0.0390134
+0.0409344
+0.0428813
+0.0448506
+0.0468397
+0.048846
+0.0508415
+0.052842
+0.0548544
+0.056854
+0.057507
+0.0580183
+0.0586072
+0.0592711
+0.0599989
+0.0607521
+0.0615516
+0.0624178
+0.0633479
+0.0637773
+0.0642176
+0.064729
+0.0653099
+0.0659585
+0.0665679
+0.0671123
+0.0677232
+0.0683989
+0.0691374
+0.0714734
+0.0704009
+0.0693802
+0.0684071
+0.0674812
+0.0666051
+0.0657903
+0.0650222
+0.0642645
+0.0635733
+0.0629507
+0.0623989
+0.0619197
+0.0615149
+0.0611858
+0.0609187
+0.0607293
+0.0595473
+0.0580144
+0.0565249
+0.0550822
+0.0536902
+0.0516645
+0.0494986
+0.0473349
+0.0451738
+0.0430158
+0.0408612
+0.0387107
+0.0365432
+0.0343762
+0.0322123
+0.0300523
+0.0278972
+0.025748
+0.0236064
+0.0214748
+0.0193564
+0.0172519
+0.0151185
+0.0129684
+0.0108345
+0.00872892
+0.00663578
+0.00457381
+0.00263419
+0.000739644
+-0.00101746
+-0.0021171
+-0.00262558
+-0.00179423
+-0.000233379
+0.00142142
+0.0031846
+0.00513777
+0.00707705
+0.00882268
+0.0106666
+0.0125359
+0.0144805
+0.0164711
+0.018507
+0.0205747
+0.0225755
+0.0245357
+0.0264574
+0.0284153
+0.0303459
+0.0322847
+0.0342038
+0.0361148
+0.0380561
+0.040023
+0.0420122
+0.0439917
+0.0459771
+0.0479804
+0.0499993
+0.0520071
+0.0540233
+0.0559736
+0.0568128
+0.0573304
+0.0579262
+0.0585887
+0.0592869
+0.0600386
+0.0608474
+0.0617235
+0.0626604
+0.0630345
+0.0634798
+0.0639972
+0.0645847
+0.0652405
+0.0658001
+0.0663508
+0.0669687
+0.0676519
+0.0683958
+0.0706298
+0.0695443
+0.0685107
+0.067525
+0.0665903
+0.0657023
+0.0648761
+0.0641142
+0.0634188
+0.0627922
+0.0621707
+0.0616119
+0.0611265
+0.0607164
+0.060383
+0.0601112
+0.0599038
+0.059776
+0.0589136
+0.0574475
+0.0560288
+0.0538861
+0.0517141
+0.0495437
+0.0473752
+0.0452088
+0.0430448
+0.0408838
+0.038726
+0.0365722
+0.034423
+0.0322794
+0.0301426
+0.0280109
+0.0258712
+0.0237407
+0.0216224
+0.0195137
+0.017353
+0.0151907
+0.0130316
+0.0108848
+0.00875984
+0.006653
+0.00455491
+0.0024781
+0.00043171
+-0.0014639
+-0.00323197
+-0.00409835
+-0.00303429
+-0.00140335
+0.000323364
+0.0023075
+0.00400097
+0.00584505
+0.00764944
+0.0095868
+0.0115898
+0.0136506
+0.0157437
+0.0177199
+0.0196754
+0.0216399
+0.0235909
+0.025506
+0.0274074
+0.0293454
+0.0312839
+0.033247
+0.035215
+0.0371707
+0.0391342
+0.0411208
+0.043127
+0.0451505
+0.0471708
+0.0491901
+0.051215
+0.0532149
+0.0549058
+0.0561956
+0.0567187
+0.0573115
+0.0579423
+0.0586452
+0.0593923
+0.0602099
+0.061095
+0.0619666
+0.0623597
+0.0628099
+0.0633327
+0.0639263
+0.0645888
+0.065097
+0.0656536
+0.066278
+0.0669655
+0.0677059
+0.0698447
+0.0687468
+0.0677009
+0.0667033
+0.065757
+0.0648576
+0.0640205
+0.0632483
+0.0625433
+0.0619078
+0.061344
+0.0608421
+0.0604024
+0.0599873
+0.0596333
+0.0593434
+0.0591333
+0.0590038
+0.0589555
+0.0582759
+0.0561027
+0.0539309
+0.0517608
+0.0495924
+0.0474261
+0.0452622
+0.0431009
+0.0409428
+0.0387883
+0.0366381
+0.0344931
+0.0323541
+0.0302225
+0.0281001
+0.0259889
+0.0238694
+0.0217607
+0.01967
+0.0175962
+0.0154629
+0.013347
+0.0112505
+0.0091332
+0.00705291
+0.00489817
+0.0027998
+0.000808978
+-0.00116864
+-0.00316571
+-0.00499208
+-0.00425627
+-0.00237641
+-0.000504276
+0.00106184
+0.00280549
+0.00470315
+0.0067335
+0.00883238
+0.0109521
+0.0128968
+0.0148403
+0.0168289
+0.0187557
+0.0206414
+0.0225384
+0.0244706
+0.0264132
+0.0283751
+0.0303683
+0.0323275
+0.0342885
+0.0362758
+0.0382852
+0.0403136
+0.0423489
+0.0443713
+0.046409
+0.0484205
+0.0504406
+0.0521826
+0.0539059
+0.0556577
+0.0561763
+0.0567352
+0.0573723
+0.0580662
+0.0588206
+0.059646
+0.0605394
+0.0613432
+0.0617554
+0.0622099
+0.0627377
+0.0633369
+0.0639688
+0.0644607
+0.0650228
+0.0656503
+0.0663331
+0.0670806
+0.0691188
+0.0680091
+0.0669525
+0.0659441
+0.0649869
+0.0640767
+0.0632293
+0.0624472
+0.0617331
+0.0610892
+0.0605178
+0.0600209
+0.0595884
+0.0592303
+0.0589397
+0.0586474
+0.0584348
+0.0583038
+0.0582549
+0.058123
+0.056231
+0.0540644
+0.0518999
+0.0497376
+0.0475779
+0.0454212
+0.0432678
+0.0411185
+0.0389737
+0.0368344
+0.0347014
+0.0325761
+0.0304417
+0.028314
+0.0261967
+0.0240925
+0.0220053
+0.0199402
+0.0179049
+0.0159016
+0.013908
+0.011785
+0.00969218
+0.00764224
+0.00555695
+0.00344016
+0.00143817
+-0.000558219
+-0.00249423
+-0.00450809
+-0.00526993
+-0.00331775
+-0.00149366
+0.000178023
+0.00202328
+0.00416914
+0.00614406
+0.00814357
+0.0100294
+0.0119488
+0.0138656
+0.0157975
+0.0176742
+0.0196078
+0.0215552
+0.0235142
+0.025511
+0.0275039
+0.0294602
+0.0314474
+0.03346
+0.0354937
+0.037545
+0.039572
+0.0416141
+0.043644
+0.0456652
+0.0477013
+0.0495035
+0.0512232
+0.0529777
+0.0547637
+0.0556745
+0.0562383
+0.056878
+0.0575647
+0.0583256
+0.0591579
+0.0599895
+0.060682
+0.0612212
+0.061682
+0.0622142
+0.0628184
+0.0633969
+0.0638932
+0.0644574
+0.065079
+0.0657677
+0.0665215
+0.0684351
+0.0673238
+0.0662566
+0.0652454
+0.0642823
+0.0633619
+0.0625048
+0.0617136
+0.0609909
+0.060339
+0.0597605
+0.0592573
+0.0588314
+0.0584722
+0.0581897
+0.0579887
+0.0578059
+0.0576735
+0.0576241
+0.0576579
+0.0564442
+0.0542861
+0.0521307
+0.0499784
+0.0478296
+0.0456848
+0.0435445
+0.0414095
+0.0392706
+0.0371366
+0.0350095
+0.0328879
+0.0307734
+0.0286703
+0.0265766
+0.0244983
+0.0224415
+0.0204125
+0.0183435
+0.0162767
+0.0142468
+0.0122724
+0.0103406
+0.00827107
+0.00620903
+0.0041474
+0.0021353
+0.000124217
+-0.00185142
+-0.00364329
+-0.00554438
+-0.00450472
+-0.00259831
+-0.000632755
+0.00125786
+0.0032219
+0.00514786
+0.0070747
+0.00898461
+0.0109204
+0.0128321
+0.0147577
+0.0167208
+0.018673
+0.0206731
+0.0226874
+0.0246596
+0.0266446
+0.0286596
+0.0306986
+0.0327572
+0.0348005
+0.0368377
+0.038862
+0.0409033
+0.0429566
+0.0449797
+0.046876
+0.04859
+0.050341
+0.0521252
+0.0539394
+0.055255
+0.0558231
+0.056451
+0.0571428
+0.0579093
+0.058689
+0.0593238
+0.060024
+0.0607484
+0.0612279
+0.0617641
+0.0623726
+0.0628962
+0.0633935
+0.0639504
+0.0645769
+0.0652709
+0.0660304
+0.0678076
+0.0666889
+0.0656207
+0.0646051
+0.0636364
+0.0627156
+0.0618495
+0.0610498
+0.0603191
+0.05966
+0.0590747
+0.0585656
+0.0581347
+0.0577747
+0.0574888
+0.0572853
+0.0571651
+0.0571091
+0.0570592
+0.0570933
+0.0567412
+0.0545948
+0.0524521
+0.0503124
+0.0481694
+0.0460308
+0.0438975
+0.04177
+0.0396495
+0.037537
+0.0354285
+0.0333263
+0.0312362
+0.0291609
+0.0271038
+0.0250501
+0.0229599
+0.0208902
+0.018848
+0.0168431
+0.0148907
+0.0129932
+0.0110135
+0.00896353
+0.00695535
+0.00496682
+0.00303356
+0.00115567
+-0.000681952
+-0.00251783
+-0.00430865
+-0.005429
+-0.00362404
+-0.00167339
+0.000271077
+0.00218569
+0.00412907
+0.0060626
+0.00800336
+0.00994185
+0.0119
+0.0138721
+0.0158724
+0.0178688
+0.0198664
+0.0218831
+0.023899
+0.0259422
+0.0279876
+0.0300531
+0.0320846
+0.0341095
+0.0361537
+0.0382142
+0.0402606
+0.0422475
+0.0442506
+0.0460147
+0.0477596
+0.0495399
+0.051352
+0.0531926
+0.0549065
+0.0554783
+0.0561064
+0.0568024
+0.0575137
+0.0580866
+0.0587324
+0.0594395
+0.0602181
+0.0608493
+0.0613888
+0.062
+0.0624653
+0.0629542
+0.063515
+0.0641458
+0.0648444
+0.0656088
+0.0672393
+0.0661122
+0.0650393
+0.0640214
+0.0630395
+0.0621157
+0.0612563
+0.0604582
+0.0597203
+0.0590544
+0.0584631
+0.0579486
+0.0575131
+0.0571491
+0.0568601
+0.0566543
+0.0565328
+0.056496
+0.0565441
+0.056608
+0.0567271
+0.0549702
+0.0528345
+0.0507034
+0.0485776
+0.0464579
+0.0443451
+0.0422402
+0.0401367
+0.0380423
+0.0359594
+0.0338901
+0.0318371
+0.0297551
+0.0276734
+0.0256099
+0.0235694
+0.0215584
+0.0195828
+0.0176402
+0.0157393
+0.0137799
+0.0118289
+0.00985056
+0.00792945
+0.00599997
+0.00419935
+0.00227655
+0.000542416
+-0.00128544
+-0.00314426
+-0.00498236
+-0.00424727
+-0.0026482
+-0.000638163
+0.00136158
+0.00319759
+0.00520567
+0.00717327
+0.00917487
+0.01115
+0.0131096
+0.0151011
+0.0171413
+0.0191957
+0.0212174
+0.0232651
+0.0253367
+0.0273827
+0.029405
+0.0314498
+0.0335131
+0.0355901
+0.0375685
+0.0395693
+0.0415893
+0.0435077
+0.0452432
+0.0470167
+0.0488241
+0.0506618
+0.0525266
+0.0544156
+0.0551977
+0.0558456
+0.0564526
+0.0569356
+0.0574981
+0.0581377
+0.058852
+0.0596383
+0.0604937
+0.0610899
+0.0616789
+0.0620968
+0.0625886
+0.0631526
+0.063787
+0.0644895
+0.0652581
+0.0667381
+0.0656023
+0.064521
+0.0634969
+0.0625138
+0.0615821
+0.0607152
+0.0599158
+0.0591868
+0.0585246
+0.0579279
+0.0574086
+0.0569689
+0.0566015
+0.0563097
+0.0561019
+0.0559792
+0.055942
+0.0559906
+0.0561247
+0.0563239
+0.055415
+0.0532971
+0.0511852
+0.0490804
+0.0469813
+0.0448856
+0.0427993
+0.0407241
+0.0386615
+0.0365999
+0.0345139
+0.0324418
+0.0303862
+0.0283509
+0.0263406
+0.0243524
+0.0223947
+0.0204842
+0.0185587
+0.0166429
+0.0147436
+0.0128153
+0.0108822
+0.00905183
+0.00715453
+0.0053323
+0.00344995
+0.00162084
+-0.000166718
+-0.00204812
+-0.00388841
+-0.0041659
+-0.00260155
+-0.00103366
+0.000727797
+0.00269109
+0.00457844
+0.00658652
+0.0085101
+0.0104598
+0.0124818
+0.0145426
+0.0165928
+0.0186336
+0.020697
+0.0227381
+0.0247758
+0.0268157
+0.028864
+0.0309296
+0.0329534
+0.0349438
+0.0369568
+0.0389891
+0.0410003
+0.0427921
+0.0445555
+0.0463554
+0.0481876
+0.0500487
+0.0519354
+0.0538452
+0.0549652
+0.0555094
+0.0559147
+0.0564024
+0.0569701
+0.0576156
+0.0583363
+0.0591294
+0.0599921
+0.0608683
+0.0613839
+0.0618038
+0.0622979
+0.0628646
+0.0635018
+0.0642074
+0.0649793
+0.0662982
+0.0651622
+0.0640734
+0.063042
+0.062061
+0.0611224
+0.0602488
+0.0594432
+0.0587084
+0.0580467
+0.0574548
+0.0569412
+0.0565046
+0.0561341
+0.0558398
+0.0556303
+0.0555065
+0.055469
+0.0555181
+0.0556533
+0.0558742
+0.0559421
+0.0538449
+0.0517513
+0.0496636
+0.0475851
+0.0455171
+0.0434612
+0.0413834
+0.0393071
+0.0372439
+0.0351961
+0.0331666
+0.0311582
+0.0291646
+0.0272003
+0.0252733
+0.0233872
+0.0214552
+0.0195777
+0.0177052
+0.0157745
+0.0138979
+0.0120449
+0.010158
+0.0083216
+0.00645863
+0.00457096
+0.00275116
+0.000893413
+-0.000930618
+-0.00292378
+-0.00363418
+-0.00254077
+-0.000973022
+0.00066138
+0.00235479
+0.00431319
+0.00613095
+0.00806644
+0.0100778
+0.0120914
+0.0141053
+0.0161652
+0.0181961
+0.0202414
+0.0222564
+0.0242912
+0.026351
+0.0284304
+0.0304038
+0.0324027
+0.0344244
+0.0364611
+0.038487
+0.0404233
+0.0421719
+0.0439602
+0.0457835
+0.0476377
+0.0495194
+0.0514256
+0.0533537
+0.0547255
+0.0550495
+0.0554583
+0.0559499
+0.0565222
+0.0571728
+0.057899
+0.058698
+0.0595669
+0.0605027
+0.061158
+0.0615794
+0.0620753
+0.062644
+0.0632834
+0.0639915
+0.064766
+0.0659161
+0.0647733
+0.0636854
+0.0626553
+0.0616824
+0.0607379
+0.0598588
+0.0590478
+0.058308
+0.0576418
+0.057046
+0.0565286
+0.0560921
+0.0557383
+0.0554526
+0.0552416
+0.0551169
+0.0550792
+0.0551286
+0.0552648
+0.0554872
+0.0557865
+0.054463
+0.0523917
+0.0503305
+0.0482696
+0.0461911
+0.0441235
+0.0420683
+0.0400276
+0.0380035
+0.0359946
+0.0340014
+0.0320341
+0.0300977
+0.0281985
+0.0262993
+0.0244012
+0.0225562
+0.0206698
+0.0187713
+0.0169397
+0.0150305
+0.0132023
+0.0113163
+0.00950582
+0.00756314
+0.00570615
+0.00381109
+0.00194904
+8.37794e-05
+-0.00150687
+-0.0026727
+-0.00195691
+-0.000746428
+0.000884259
+0.002539
+0.00419506
+0.00604498
+0.00788328
+0.00981146
+0.0118068
+0.0138613
+0.0158872
+0.017869
+0.0198743
+0.0219111
+0.0239728
+0.0259913
+0.0279552
+0.0299502
+0.0319708
+0.0340125
+0.0360286
+0.0380457
+0.0398867
+0.0416579
+0.0434673
+0.0453104
+0.0471832
+0.0490824
+0.0510049
+0.0529483
+0.0543474
+0.0546737
+0.0550853
+0.0555802
+0.0561562
+0.056811
+0.0575417
+0.0583456
+0.0592197
+0.0601609
+0.0610027
+0.0614252
+0.0619224
+0.0624925
+0.0631334
+0.0638432
+0.0646194
+0.0656049
+0.0644567
+0.0633633
+0.0623278
+0.0613531
+0.0604206
+0.0595367
+0.0587214
+0.0579773
+0.0573074
+0.0567143
+0.0561985
+0.0557594
+0.0554035
+0.0551324
+0.0549376
+0.0548122
+0.0547743
+0.0548239
+0.0549609
+0.0551846
+0.0554854
+0.0551589
+0.0530864
+0.051016
+0.0489561
+0.0469081
+0.0448735
+0.0428543
+0.0408451
+0.0388537
+0.036885
+0.0349427
+0.0330315
+0.0311571
+0.0292496
+0.0273808
+0.0255631
+0.023655
+0.0217964
+0.0199157
+0.0180506
+0.0161923
+0.0143456
+0.0124359
+0.0105413
+0.00863871
+0.00679957
+0.00492867
+0.00309127
+0.00132691
+-0.000258765
+-0.00126865
+-0.000926857
+-8.37214e-06
+0.00132551
+0.00287669
+0.00455756
+0.00613541
+0.00791608
+0.00981413
+0.0117888
+0.0137553
+0.0157106
+0.0176782
+0.019693
+0.0217239
+0.023677
+0.0256306
+0.0276197
+0.0296373
+0.0316779
+0.0336759
+0.0356915
+0.0375819
+0.0394143
+0.0412538
+0.0430802
+0.0449392
+0.0468269
+0.0487399
+0.0506755
+0.052631
+0.0540556
+0.0543836
+0.0547973
+0.0552948
+0.0558738
+0.0565318
+0.0572662
+0.0580739
+0.058952
+0.0598906
+0.060885
+0.061349
+0.0618468
+0.0624175
+0.0630592
+0.0637698
+0.0645469
+0.0653554
+0.0642058
+0.0631115
+0.0620751
+0.0610973
+0.0601724
+0.0592939
+0.0584752
+0.057728
+0.0570551
+0.0564593
+0.0559431
+0.0555085
+0.0551537
+0.0548814
+0.0546956
+0.0545938
+0.0545557
+0.0546055
+0.0547431
+0.0549676
+0.0552697
+0.0556481
+0.0538007
+0.0517589
+0.0497298
+0.0477129
+0.0457058
+0.0437164
+0.041747
+0.0398008
+0.0378814
+0.0359929
+0.0341124
+0.0322277
+0.0303841
+0.0285438
+0.026666
+0.0248062
+0.0229203
+0.0210788
+0.0192092
+0.0173143
+0.0154014
+0.0135174
+0.0116163
+0.00970296
+0.0078689
+0.0060774
+0.00424092
+0.00259153
+0.00129916
+0.000336502
+0.000213076
+0.00102398
+0.0022118
+0.00354736
+0.00504515
+0.00661678
+0.00835852
+0.0101182
+0.0119629
+0.0138707
+0.0157266
+0.0176593
+0.0196317
+0.0215599
+0.0234852
+0.0254535
+0.0274555
+0.0294633
+0.0314526
+0.0334334
+0.0353757
+0.0371878
+0.0390387
+0.0409232
+0.042802
+0.0446725
+0.046571
+0.0484942
+0.0504391
+0.0524035
+0.0538385
+0.0541678
+0.0545832
+0.0550826
+0.0556638
+0.0563243
+0.0570613
+0.0578719
+0.058753
+0.0596908
+0.0606885
+0.0613509
+0.0618486
+0.0624194
+0.0630611
+0.0637716
+0.0645487
+0.0651703
+0.0640212
+0.0629243
+0.0618849
+0.0609065
+0.0599761
+0.0591014
+0.0582958
+0.0575581
+0.0568861
+0.0562886
+0.0557707
+0.0553348
+0.0549827
+0.0547162
+0.0545306
+0.0544318
+0.054418
+0.054468
+0.0546059
+0.054831
+0.0551401
+0.0555195
+0.0545936
+0.0525777
+0.0505739
+0.0485862
+0.0466167
+0.0446678
+0.0427423
+0.0408436
+0.0389755
+0.0370882
+0.0352265
+0.0334047
+0.0315446
+0.0296949
+0.0278001
+0.0259469
+0.0240814
+0.0222006
+0.020277
+0.0183674
+0.016443
+0.0145146
+0.0126358
+0.0108495
+0.00902351
+0.00719373
+0.00558774
+0.00408895
+0.00277298
+0.00186038
+0.00161943
+0.00220883
+0.00321877
+0.00442911
+0.00580179
+0.00736635
+0.00887917
+0.0105158
+0.0122605
+0.0140537
+0.0159108
+0.017771
+0.0196608
+0.0215661
+0.0234957
+0.0254393
+0.0273934
+0.0293707
+0.0313083
+0.0332468
+0.0350937
+0.0369196
+0.0387834
+0.0406797
+0.0426042
+0.0445122
+0.0464172
+0.0483465
+0.0502972
+0.0522669
+0.0537055
+0.0540357
+0.054452
+0.0549527
+0.0555352
+0.0561972
+0.0569359
+0.0577482
+0.0586312
+0.0595709
+0.0605705
+0.061431
+0.0619281
+0.0624981
+0.063139
+0.0638487
+0.0646248
+0.0650465
+0.0638974
+0.0628015
+0.0617639
+0.0607876
+0.0598594
+0.0589829
+0.0581757
+0.0574408
+0.0567804
+0.0561869
+0.0556727
+0.0552407
+0.0548927
+0.0546263
+0.0544463
+0.054354
+0.0543436
+0.0544078
+0.0545458
+0.0547711
+0.0550828
+0.0554771
+0.0554473
+0.0534613
+0.0514918
+0.049541
+0.047611
+0.0457045
+0.0438246
+0.0419575
+0.0400825
+0.0382411
+0.0364285
+0.0345625
+0.0326815
+0.0308067
+0.0289369
+0.0270619
+0.0251615
+0.0232375
+0.0213025
+0.0193699
+0.0174638
+0.0156325
+0.0138721
+0.0119638
+0.0101695
+0.00849576
+0.00684371
+0.00538845
+0.00426279
+0.00341303
+0.00307937
+0.00341127
+0.00434803
+0.00545569
+0.00666918
+0.00808224
+0.00958842
+0.0111829
+0.0127618
+0.0144556
+0.016185
+0.0179695
+0.0197871
+0.0216738
+0.0235934
+0.0255003
+0.0274347
+0.0292743
+0.031147
+0.0330588
+0.0349471
+0.0367803
+0.0386507
+0.0405532
+0.0424835
+0.044438
+0.0463666
+0.0482978
+0.0502504
+0.0522219
+0.0536617
+0.0539921
+0.0544088
+0.0549099
+0.0554929
+0.0561554
+0.0568945
+0.0577075
+0.058591
+0.0595314
+0.0605317
+0.0615889
+0.0620848
+0.0626533
+0.0632927
+0.0640006
+0.064775
+0.0649843
+0.0638464
+0.0627518
+0.0617134
+0.0607362
+0.0598228
+0.0589457
+0.058138
+0.0574026
+0.0567423
+0.0561597
+0.05565
+0.0552177
+0.0548696
+0.0546032
+0.054423
+0.0543307
+0.0543266
+0.0544107
+0.0545718
+0.0547989
+0.0551104
+0.0555066
+0.0559706
+0.0544187
+0.0524852
+0.0505727
+0.0486836
+0.0468208
+0.0449478
+0.0430915
+0.0412681
+0.0394378
+0.037555
+0.0356672
+0.0337968
+0.0319166
+0.0300477
+0.0281175
+0.0261766
+0.0242426
+0.0223226
+0.020457
+0.0186281
+0.0167441
+0.0148817
+0.0131067
+0.0113832
+0.00971104
+0.00821845
+0.00693565
+0.00584586
+0.00494112
+0.00453819
+0.00471286
+0.00544992
+0.00649562
+0.00765551
+0.00893933
+0.0103212
+0.0117846
+0.0133947
+0.0150063
+0.0166264
+0.0183294
+0.0201033
+0.0219194
+0.0237986
+0.0255948
+0.0273687
+0.0291993
+0.0310765
+0.0329924
+0.0349375
+0.0367711
+0.038642
+0.0405449
+0.0424756
+0.0444304
+0.0463912
+0.0483468
+0.0500293
+0.0513626
+0.0527533
+0.0540375
+0.0544538
+0.0549544
+0.055537
+0.0561989
+0.0569375
+0.0577499
+0.0586328
+0.0595725
+0.0605721
+0.0616334
+0.0623181
+0.0628846
+0.0635216
+0.064227
+0.0649987
+0.0649959
+0.0638582
+0.0627718
+0.0617337
+0.0607568
+0.0598443
+0.0589899
+0.0581828
+0.057448
+0.0567882
+0.0562061
+0.0557041
+0.0552817
+0.054934
+0.0546678
+0.0544879
+0.0543957
+0.0543916
+0.0544756
+0.0546366
+0.0548842
+0.0552177
+0.0556203
+0.0560834
+0.0554462
+0.0535498
+0.0516767
+0.0498195
+0.0479517
+0.0461124
+0.0443049
+0.0424342
+0.0405369
+0.0386664
+0.0367786
+0.0348996
+0.033003
+0.0310584
+0.0291239
+0.0271956
+0.0253062
+0.0234342
+0.0215776
+0.0196818
+0.0178395
+0.0160824
+0.0143314
+0.0126835
+0.0111528
+0.0097334
+0.00849944
+0.00742156
+0.00654115
+0.00609454
+0.00612466
+0.00666865
+0.00760379
+0.00862415
+0.009844
+0.0110759
+0.0124996
+0.014028
+0.015538
+0.0171429
+0.0188009
+0.0205059
+0.0222893
+0.0239861
+0.0256964
+0.0274637
+0.0292884
+0.0311602
+0.0330712
+0.035015
+0.0368822
+0.0387247
+0.0406015
+0.0424988
+0.0444221
+0.0460201
+0.0472655
+0.0485759
+0.0499481
+0.051377
+0.0528487
+0.0543439
+0.0549764
+0.0555848
+0.0562694
+0.0570233
+0.0578505
+0.0587477
+0.059694
+0.0606917
+0.0617509
+0.0626272
+0.0631909
+0.0638249
+0.064527
+0.0652951
+0.065058
+0.0639215
+0.0628408
+0.0618189
+0.0608481
+0.0599369
+0.059093
+0.0583099
+0.0575767
+0.0569184
+0.0563377
+0.0558369
+0.0554182
+0.0550828
+0.054817
+0.0546376
+0.0545456
+0.0545416
+0.0546254
+0.0547889
+0.0550358
+0.0553684
+0.0557851
+0.0562812
+0.0565399
+0.0546815
+0.052819
+0.050967
+0.0491428
+0.047317
+0.0454127
+0.043535
+0.0416452
+0.0397629
+0.0378919
+0.0359447
+0.0340101
+0.0320763
+0.0301601
+0.028272
+0.0264282
+0.0245157
+0.0226411
+0.0208284
+0.0190693
+0.0173238
+0.0156903
+0.0141564
+0.0126337
+0.0112715
+0.0100621
+0.0089673
+0.00817847
+0.00769762
+0.0076577
+0.00803149
+0.0087288
+0.00973673
+0.0108669
+0.0120547
+0.0133546
+0.0147215
+0.0162187
+0.0177193
+0.0193058
+0.0209689
+0.0225896
+0.0242643
+0.0259829
+0.027732
+0.0295401
+0.0313969
+0.0332943
+0.0351502
+0.0369669
+0.0388198
+0.0406924
+0.0421804
+0.0433298
+0.0445437
+0.0458293
+0.0471796
+0.0485912
+0.0500583
+0.0515476
+0.0530856
+0.0546681
+0.055551
+0.0562359
+0.0569903
+0.0578179
+0.0587156
+0.0596803
+0.0607073
+0.0617813
+0.0629133
+0.0635714
+0.0642016
+0.0648996
+0.0656634
+0.0651884
+0.0640542
+0.0629758
+0.0619561
+0.0609981
+0.0601047
+0.0592678
+0.0584963
+0.0577883
+0.0571324
+0.0565539
+0.056055
+0.055638
+0.0553047
+0.0550475
+0.0548688
+0.0547772
+0.0547732
+0.0548567
+0.0550273
+0.0552739
+0.0556051
+0.05602
+0.0565169
+0.0570935
+0.0558292
+0.0539915
+0.0521811
+0.050293
+0.0484063
+0.0465186
+0.044634
+0.0427597
+0.0408339
+0.0388976
+0.03695
+0.0350257
+0.0331276
+0.0312632
+0.0293697
+0.027477
+0.0256318
+0.0238451
+0.0220716
+0.0203478
+0.0187131
+0.0170776
+0.0155472
+0.0141519
+0.0128193
+0.0115961
+0.0106073
+0.00985074
+0.00938744
+0.00923005
+0.00942815
+0.0100177
+0.0109332
+0.0119835
+0.0131026
+0.0143524
+0.0156085
+0.0169946
+0.0184346
+0.0199503
+0.0215133
+0.0230935
+0.0247342
+0.0264484
+0.0281686
+0.0299503
+0.0317832
+0.033566
+0.0353637
+0.03717
+0.038572
+0.0395886
+0.0406969
+0.0418731
+0.0431281
+0.0444546
+0.0458454
+0.0472793
+0.0487648
+0.0502925
+0.0518677
+0.0534862
+0.0551443
+0.0562722
+0.0570261
+0.0578532
+0.0587503
+0.0597144
+0.0607401
+0.0618136
+0.062945
+0.0640246
+0.0646503
+0.0653436
+0.0661022
+0.0653919
+0.0642613
+0.0631865
+0.0621702
+0.0612155
+0.0603254
+0.0595025
+0.0587499
+0.0580439
+0.0574035
+0.0568277
+0.0563313
+0.0559163
+0.0555847
+0.0553378
+0.055177
+0.055095
+0.055091
+0.055174
+0.0553437
+0.0555974
+0.0559266
+0.0563392
+0.0568332
+0.0574067
+0.057023
+0.0551765
+0.0532826
+0.0513967
+0.0495097
+0.0476266
+0.0457496
+0.043783
+0.0418289
+0.0398994
+0.0379943
+0.0361153
+0.0342364
+0.0323317
+0.0304655
+0.0286453
+0.0268625
+0.0250973
+0.0233829
+0.0216571
+0.0200224
+0.0184711
+0.0170292
+0.0156427
+0.0143666
+0.0132352
+0.0122984
+0.0115561
+0.0110559
+0.0108144
+0.0109366
+0.0114062
+0.0121481
+0.0130869
+0.0142403
+0.0154542
+0.0166676
+0.017927
+0.0192619
+0.020712
+0.0222062
+0.0237858
+0.025385
+0.0270407
+0.0287124
+0.0303708
+0.0320854
+0.0338378
+0.0352761
+0.0361201
+0.0370745
+0.038131
+0.0392654
+0.0404827
+0.0417795
+0.0431281
+0.0445395
+0.046012
+0.0475372
+0.049103
+0.0507152
+0.0523694
+0.0540617
+0.0557888
+0.0571451
+0.0579704
+0.0588658
+0.0598281
+0.0608518
+0.0619233
+0.0630528
+0.0642371
+0.0651697
+0.065805
+0.0665026
+0.065668
+0.0645422
+0.0634721
+0.0624605
+0.0615103
+0.0606245
+0.0598057
+0.059057
+0.0583549
+0.0577216
+0.0571652
+0.0566842
+0.0562719
+0.0559424
+0.0556971
+0.0555373
+0.0554635
+0.0554763
+0.0555755
+0.0557444
+0.0559981
+0.0563316
+0.0567412
+0.0572318
+0.0578013
+0.0581626
+0.0562784
+0.0543843
+0.0524993
+0.0506318
+0.0486672
+0.046712
+0.0447785
+0.0428682
+0.0409754
+0.0391046
+0.0371979
+0.0353171
+0.033474
+0.031642
+0.0298414
+0.0280951
+0.0263516
+0.0246389
+0.0230071
+0.0214441
+0.0199107
+0.0184735
+0.0171675
+0.0159885
+0.0149351
+0.0139581
+0.0132283
+0.0127311
+0.0124496
+0.0125065
+0.0128286
+0.0134551
+0.0143075
+0.0153827
+0.0165886
+0.0177192
+0.0189092
+0.0201803
+0.0215666
+0.0229924
+0.0244732
+0.0260109
+0.0276155
+0.0292041
+0.0308311
+0.0322421
+0.0329854
+0.0337664
+0.0346472
+0.035641
+0.0367339
+0.0379059
+0.0391501
+0.0404632
+0.0418498
+0.0433029
+0.044816
+0.0463805
+0.0479842
+0.0496327
+0.0513218
+0.0530475
+0.0548066
+0.0565957
+0.05817
+0.0590624
+0.0600215
+0.061042
+0.0621102
+0.0632363
+0.0644173
+0.0655475
+0.0661472
+0.0667958
+0.0660148
+0.0648958
+0.0638316
+0.0628259
+0.0618813
+0.0610008
+0.0601872
+0.0594433
+0.058746
+0.0581169
+0.0575644
+0.0570906
+0.0566975
+0.056383
+0.0561396
+0.055981
+0.0559079
+0.0559206
+0.0560189
+0.0562026
+0.0564707
+0.0568091
+0.0572243
+0.0577108
+0.0582756
+0.0588349
+0.0573764
+0.0555001
+0.053554
+0.0515979
+0.0496614
+0.0477467
+0.0458416
+0.0439596
+0.0420717
+0.0401801
+0.0383086
+0.0364502
+0.0346264
+0.0328399
+0.0311002
+0.029347
+0.0276445
+0.0259896
+0.0243732
+0.0228201
+0.0213786
+0.0200275
+0.0188069
+0.0176093
+0.0165685
+0.015664
+0.0149476
+0.0143833
+0.0140962
+0.014094
+0.0143806
+0.0149266
+0.0156988
+0.0166855
+0.0178378
+0.0189205
+0.0200529
+0.0212366
+0.0225344
+0.0238761
+0.0252916
+0.0267736
+0.0283014
+0.0293881
+0.0299033
+0.0305466
+0.0313302
+0.0322439
+0.0332432
+0.0342778
+0.0354036
+0.036589
+0.0378642
+0.0392203
+0.0406493
+0.0421438
+0.0436971
+0.0453004
+0.0469409
+0.0486248
+0.0503477
+0.0521058
+0.0538955
+0.055714
+0.0575583
+0.0593393
+0.0602939
+0.0613099
+0.0623736
+0.063495
+0.0646712
+0.0658356
+0.0663162
+0.0668003
+0.066419
+0.0653083
+0.0642531
+0.0632548
+0.0623168
+0.0614425
+0.0606349
+0.0598965
+0.0592156
+0.0585915
+0.0580435
+0.0575737
+0.057184
+0.056876
+0.0566512
+0.0565028
+0.0564303
+0.0564429
+0.0565404
+0.0567223
+0.056988
+0.0573268
+0.0577401
+0.0582328
+0.0588031
+0.0592846
+0.0584428
+0.0564861
+0.0545472
+0.052628
+0.0507141
+0.0488232
+0.0469357
+0.0450508
+0.0431524
+0.0412796
+0.0394305
+0.0376133
+0.0358323
+0.0340765
+0.0323153
+0.0306022
+0.0289506
+0.0273345
+0.0257736
+0.0243102
+0.022945
+0.0215869
+0.0203286
+0.0192157
+0.0182425
+0.0173659
+0.0166575
+0.0161103
+0.0158229
+0.0158015
+0.0160393
+0.0165235
+0.017213
+0.018103
+0.0191983
+0.0201814
+0.0211856
+0.0223136
+0.0235575
+0.0249038
+0.0262599
+0.0270729
+0.0272927
+0.0276847
+0.0282324
+0.028913
+0.0297397
+0.0307007
+0.0317839
+0.0329773
+0.0341171
+0.0353457
+0.0366641
+0.0380631
+0.0395339
+0.0410691
+0.0426615
+0.0443019
+0.0459784
+0.0476963
+0.0494516
+0.0512404
+0.0530594
+0.0549055
+0.056764
+0.05862
+0.0604983
+0.0616268
+0.0626998
+0.063819
+0.0649893
+0.0657297
+0.0661456
+0.0666297
+0.0668925
+0.0657881
+0.0647386
+0.0637471
+0.0628164
+0.0619492
+0.0611482
+0.0604161
+0.0597554
+0.0591428
+0.0585999
+0.0581346
+0.0577486
+0.0574437
+0.0572211
+0.0570817
+0.0570194
+0.0570318
+0.0571283
+0.0573084
+0.0575714
+0.0579161
+0.0583318
+0.0588196
+0.0593843
+0.059789
+0.0592477
+0.057512
+0.0556053
+0.0536907
+0.0517894
+0.0499118
+0.0480074
+0.0461201
+0.0442522
+0.0424152
+0.0406039
+0.0388201
+0.0370307
+0.035281
+0.0335791
+0.0319311
+0.0303231
+0.0287508
+0.0272218
+0.0257884
+0.024434
+0.0231231
+0.0219407
+0.0208783
+0.0199403
+0.0190961
+0.0184142
+0.0178972
+0.0176389
+0.0176062
+0.0177919
+0.0181824
+0.0188106
+0.0196283
+0.0206285
+0.0214756
+0.0224195
+0.0234917
+0.0247052
+0.0254133
+0.0253071
+0.0253846
+0.025619
+0.0260362
+0.0266273
+0.0273537
+0.0282261
+0.029237
+0.0303724
+0.0316191
+0.0329263
+0.0341977
+0.0355587
+0.0369994
+0.038511
+0.0400853
+0.0417047
+0.043372
+0.0450841
+0.0468361
+0.0486237
+0.0504431
+0.052291
+0.0541624
+0.0560189
+0.0578987
+0.0597997
+0.0614587
+0.0630835
+0.064207
+0.0652818
+0.0656275
+0.066044
+0.0665182
+0.0674298
+0.0663339
+0.0652932
+0.0643102
+0.0633878
+0.0625285
+0.0617351
+0.06101
+0.0603466
+0.0597499
+0.0592172
+0.0587568
+0.058375
+0.0580733
+0.0578531
+0.0577153
+0.0576604
+0.0576888
+0.0577933
+0.0579714
+0.0582313
+0.0585721
+0.0589924
+0.0594814
+0.0600398
+0.0603633
+0.0598272
+0.0585582
+0.0566508
+0.0547647
+0.0528704
+0.050968
+0.049089
+0.047237
+0.0454025
+0.0435949
+0.0417882
+0.0400067
+0.0382676
+0.0365626
+0.0348914
+0.0332673
+0.0316533
+0.0301123
+0.0286561
+0.0272826
+0.0259793
+0.0247297
+0.0235928
+0.0225843
+0.0216882
+0.0208846
+0.0202258
+0.0197504
+0.0194693
+0.0194169
+0.0195699
+0.0199256
+0.020493
+0.0212345
+0.0221082
+0.0228614
+0.0237711
+0.0245621
+0.024095
+0.0237828
+0.0236693
+0.0237581
+0.0240212
+0.0244656
+0.0250905
+0.0258645
+0.0267956
+0.0278676
+0.0290566
+0.0303573
+0.0317538
+0.0331412
+0.0345439
+0.0360253
+0.037576
+0.0391784
+0.0408313
+0.0425328
+0.0442774
+0.0460601
+0.0478767
+0.0497234
+0.0515971
+0.0534708
+0.0553505
+0.05717
+0.0587636
+0.0603947
+0.0620603
+0.0637576
+0.0652416
+0.0655874
+0.0660042
+0.0664786
+0.068033
+0.066947
+0.0659159
+0.0649424
+0.0640291
+0.0631786
+0.0623934
+0.0616719
+0.0610096
+0.0604194
+0.0599036
+0.0594531
+0.0590758
+0.0587778
+0.0585602
+0.0584241
+0.0583699
+0.0583979
+0.0585079
+0.0586951
+0.0589519
+0.0592884
+0.0597036
+0.0601956
+0.0607627
+0.0610109
+0.0604805
+0.059625
+0.0577338
+0.0558247
+0.0539371
+0.0520731
+0.0502205
+0.0483945
+0.046575
+0.0447695
+0.0429999
+0.0412506
+0.0395348
+0.037868
+0.0362054
+0.0345898
+0.0330405
+0.0315673
+0.0301682
+0.0288528
+0.0275594
+0.0263807
+0.0253133
+0.0243543
+0.023482
+0.0226989
+0.022065
+0.0216113
+0.0213548
+0.0212797
+0.0214025
+0.0217277
+0.0222109
+0.0228647
+0.0236384
+0.0243443
+0.0237311
+0.0230447
+0.0225462
+0.0222353
+0.0221138
+0.0222088
+0.022517
+0.0229921
+0.0236562
+0.0244756
+0.0254576
+0.0265842
+0.0278281
+0.0291837
+0.0306331
+0.0321515
+0.0336272
+0.0351472
+0.0367351
+0.0383726
+0.0400588
+0.0417918
+0.043566
+0.0453767
+0.0472196
+0.049091
+0.0509836
+0.052861
+0.054527
+0.0561102
+0.0577332
+0.0593926
+0.0610855
+0.0628092
+0.0645612
+0.0656205
+0.0660371
+0.0665113
+0.0687008
+0.0676255
+0.066605
+0.0656417
+0.0647382
+0.0638971
+0.0631209
+0.0623977
+0.0617432
+0.0611601
+0.0606506
+0.0602166
+0.0598487
+0.0595545
+0.0593398
+0.0592054
+0.059152
+0.0591796
+0.0592882
+0.0594773
+0.0597426
+0.0600748
+0.0604845
+0.0609702
+0.0615302
+0.0617157
+0.0611914
+0.0606882
+0.0587934
+0.056918
+0.0550526
+0.0532121
+0.0513828
+0.0495588
+0.0477657
+0.0459825
+0.0442333
+0.042525
+0.0408378
+0.0391682
+0.0375523
+0.0359971
+0.0345111
+0.0330923
+0.031757
+0.0304345
+0.0292111
+0.0280938
+0.0270806
+0.0261377
+0.0253033
+0.0245419
+0.0239569
+0.0235292
+0.0232599
+0.0231891
+0.0232726
+0.0235331
+0.023977
+0.0245472
+0.0242969
+0.0232365
+0.0223413
+0.0216108
+0.0210783
+0.0207645
+0.0206491
+0.0207508
+0.021081
+0.0215977
+0.0223071
+0.0231964
+0.0242406
+0.0254245
+0.0267224
+0.0281313
+0.0296322
+0.0311994
+0.0328314
+0.0343866
+0.0360079
+0.0376771
+0.039393
+0.0411541
+0.0429547
+0.0447901
+0.0466561
+0.0485493
+0.0504105
+0.0519344
+0.0535047
+0.0551173
+0.0567686
+0.0584554
+0.0601747
+0.0619237
+0.0637001
+0.0655015
+0.0661426
+0.066616
+0.0693769
+0.0683614
+0.067352
+0.0663996
+0.0655065
+0.0646754
+0.0639061
+0.0631912
+0.062545
+0.0619695
+0.0614667
+0.0610384
+0.0606863
+0.0604007
+0.0601891
+0.0600566
+0.0600039
+0.0600311
+0.0601382
+0.0603247
+0.0605898
+0.0609297
+0.0613338
+0.0618128
+0.0623652
+0.0624882
+0.0619704
+0.0611468
+0.0593987
+0.0576804
+0.0559897
+0.0543323
+0.0525525
+0.0507461
+0.048971
+0.0472308
+0.0455259
+0.0438159
+0.0421505
+0.040535
+0.0389758
+0.0374772
+0.0360202
+0.0346407
+0.0333438
+0.0320878
+0.0309131
+0.0298278
+0.0288332
+0.0279466
+0.0271346
+0.0264287
+0.0258889
+0.025456
+0.0251944
+0.0250921
+0.0251482
+0.0253834
+0.0257644
+0.0243996
+0.0231496
+0.0220312
+0.0210683
+0.020297
+0.0197336
+0.0193985
+0.0192923
+0.0194012
+0.0197539
+0.0203378
+0.0210957
+0.022034
+0.0231306
+0.0243753
+0.0257451
+0.0272048
+0.0287573
+0.0303757
+0.0320565
+0.0337512
+0.0354017
+0.0370981
+0.0388396
+0.0406247
+0.0424454
+0.0442964
+0.0461772
+0.0478958
+0.0494001
+0.0509543
+0.0525538
+0.0541947
+0.0558733
+0.0575863
+0.0593308
+0.061104
+0.0629035
+0.0647272
+0.0663041
+0.0667883
+0.0697744
+0.0691559
+0.0681582
+0.0672172
+0.0663352
+0.0655146
+0.0647552
+0.0640498
+0.0634123
+0.0628448
+0.062349
+0.0619269
+0.0615798
+0.0613091
+0.0611051
+0.0609746
+0.0609227
+0.0609495
+0.061055
+0.0612387
+0.0614999
+0.0618377
+0.0622479
+0.06272
+0.0632645
+0.063327
+0.0624762
+0.0606857
+0.0589174
+0.0571781
+0.0554709
+0.0537975
+0.052156
+0.0505561
+0.0490019
+0.047498
+0.0460491
+0.0446608
+0.0433388
+0.0419568
+0.040425
+0.0389551
+0.0375556
+0.0362318
+0.0349647
+0.0337675
+0.0326064
+0.0315474
+0.030603
+0.0297792
+0.029003
+0.0283115
+0.0277692
+0.0273651
+0.0270943
+0.0269991
+0.0270543
+0.0263516
+0.0248205
+0.0233922
+0.0220892
+0.0209348
+0.0199294
+0.0191123
+0.018514
+0.0181564
+0.0180593
+0.0181841
+0.0185599
+0.0191802
+0.0200182
+0.0210187
+0.0221809
+0.0234771
+0.0248964
+0.026403
+0.028
+0.0296717
+0.0313992
+0.0331814
+0.0349225
+0.0366327
+0.0383891
+0.0401882
+0.0420245
+0.0438933
+0.0454531
+0.0469335
+0.0484678
+0.0500509
+0.0516784
+0.0533462
+0.0550507
+0.0567885
+0.0585568
+0.0603527
+0.062174
+0.0640184
+0.065884
+0.0669389
+0.0702145
+0.0698571
+0.0690246
+0.0680955
+0.0672251
+0.0664155
+0.0656656
+0.0649701
+0.0643417
+0.0637824
+0.063294
+0.0628782
+0.0625364
+0.0622698
+0.0620776
+0.0619492
+0.0618981
+0.0619245
+0.0620283
+0.0622091
+0.0624663
+0.0627989
+0.0632057
+0.0636753
+0.0642118
+0.0639249
+0.0620941
+0.0602872
+0.0585067
+0.0567548
+0.0550344
+0.0533473
+0.0516915
+0.0500768
+0.0485072
+0.0469875
+0.0455224
+0.0441175
+0.0427787
+0.0415124
+0.0403247
+0.0392185
+0.038206
+0.037294
+0.0364746
+0.0353789
+0.0342781
+0.0332738
+0.0323673
+0.0315607
+0.0308298
+0.0301769
+0.0296718
+0.0292776
+0.0290246
+0.0289357
+0.0272633
+0.0256019
+0.0240231
+0.0225443
+0.0211892
+0.0199829
+0.0189538
+0.0180883
+0.0174487
+0.0170683
+0.0169645
+0.0171358
+0.0175342
+0.0181884
+0.0190692
+0.0201507
+0.0213686
+0.022728
+0.0242004
+0.0257512
+0.0273895
+0.029098
+0.0308631
+0.0326745
+0.0345202
+0.0362767
+0.0380496
+0.039864
+0.0417013
+0.0430929
+0.0445459
+0.0460554
+0.047618
+0.0492284
+0.0508822
+0.0525753
+0.054304
+0.056065
+0.0578554
+0.0596724
+0.0615138
+0.0633775
+0.0652614
+0.0671606
+0.0707107
+0.0703627
+0.0699488
+0.0690322
+0.0681737
+0.0673755
+0.066633
+0.0659477
+0.0653287
+0.0647779
+0.0642971
+0.0638878
+0.0635515
+0.0632892
+0.0631019
+0.0629774
+0.0629271
+0.0629531
+0.0630552
+0.0632331
+0.0634861
+0.0638134
+0.0642137
+0.0646859
+0.0652185
+0.063622
+0.0617822
+0.059966
+0.0581755
+0.0564134
+0.0546795
+0.0529748
+0.0513069
+0.0496797
+0.0480972
+0.046564
+0.0450852
+0.0436662
+0.0423127
+0.0410266
+0.0398195
+0.0386989
+0.0376724
+0.036748
+0.0359336
+0.0352258
+0.0346343
+0.0341733
+0.033848
+0.03336
+0.0326929
+0.0320779
+0.0316032
+0.0312193
+0.0302803
+0.028468
+0.026708
+0.0250051
+0.0233837
+0.0218617
+0.0204614
+0.0192094
+0.0181365
+0.0172449
+0.0165853
+0.0161857
+0.0160762
+0.0162546
+0.0166996
+0.0173864
+0.018311
+0.0194396
+0.0207358
+0.0221489
+0.0236618
+0.0252484
+0.0269173
+0.0286541
+0.0304489
+0.0322887
+0.0341591
+0.0360506
+0.037834
+0.0394784
+0.0408283
+0.0422486
+0.0437296
+0.0452665
+0.0468553
+0.0484911
+0.0501692
+0.0518856
+0.0536365
+0.0554187
+0.0572293
+0.0590656
+0.0609254
+0.0628065
+0.064707
+0.0666254
+0.0712515
+0.0709256
+0.0706467
+0.070025
+0.0691788
+0.0683923
+0.0676576
+0.0669828
+0.0663734
+0.0658314
+0.0653583
+0.0649557
+0.0646249
+0.064367
+0.0641829
+0.064064
+0.0640146
+0.0640401
+0.0641405
+0.0643154
+0.0645641
+0.064886
+0.0652798
+0.0657443
+0.0652613
+0.0633933
+0.0615467
+0.0597233
+0.0579207
+0.0561434
+0.0543963
+0.0526824
+0.051005
+0.0493678
+0.047775
+0.0462311
+0.0447413
+0.0433111
+0.0419461
+0.0406483
+0.0394297
+0.0382977
+0.0372602
+0.0363253
+0.0355012
+0.0347949
+0.0341948
+0.0337265
+0.0333956
+0.0332062
+0.0331607
+0.0332598
+0.0335022
+0.0318018
+0.0299213
+0.0280859
+0.0263003
+0.0245692
+0.0229169
+0.0213617
+0.0199263
+0.0186384
+0.0175306
+0.0166064
+0.0159204
+0.0155109
+0.0153966
+0.0155757
+0.016041
+0.0167817
+0.017759
+0.0189205
+0.0202531
+0.0217014
+0.0232654
+0.0249147
+0.0266177
+0.0283727
+0.0301843
+0.0320393
+0.0339235
+0.0358425
+0.0373804
+0.0386794
+0.0400561
+0.0415029
+0.0430096
+0.0445713
+0.046184
+0.0478428
+0.0495429
+0.0512802
+0.0530511
+0.0548523
+0.056681
+0.0585345
+0.0604106
+0.0623073
+0.0642226
+0.0661519
+0.0718551
+0.071532
+0.0712747
+0.0710647
+0.0702378
+0.0694633
+0.0687367
+0.0680726
+0.0674731
+0.06694
+0.0664748
+0.066079
+0.0657539
+0.0655004
+0.0653195
+0.0652061
+0.0651576
+0.0651827
+0.0652813
+0.0654531
+0.0656976
+0.0660139
+0.066401
+0.0668577
+0.0651122
+0.0632397
+0.061382
+0.0595469
+0.0577365
+0.0559534
+0.0542002
+0.0524799
+0.0507958
+0.0491517
+0.0475516
+0.0460003
+0.0445027
+0.0430646
+0.0416915
+0.0403856
+0.0391587
+0.0380187
+0.0369733
+0.036031
+0.0352
+0.0344875
+0.033882
+0.0334093
+0.0330752
+0.032884
+0.0328381
+0.0329382
+0.0331829
+0.0316124
+0.0297199
+0.0278712
+0.0260709
+0.0243235
+0.0226533
+0.0210786
+0.0196225
+0.0183133
+0.0171846
+0.0162407
+0.0155386
+0.015121
+0.0150037
+0.0151851
+0.0156621
+0.0164199
+0.0174175
+0.0186004
+0.0199544
+0.0214471
+0.0230462
+0.0247195
+0.0264685
+0.0282584
+0.0300773
+0.0319386
+0.0338283
+0.0354292
+0.0366665
+0.0379899
+0.0393908
+0.0408612
+0.0423905
+0.0439741
+0.045608
+0.047287
+0.0490063
+0.050762
+0.0525504
+0.0543682
+0.0562126
+0.0580811
+0.0599714
+0.0618812
+0.0638007
+0.0657371
+0.0725199
+0.0721997
+0.0719449
+0.071756
+0.0713484
+0.0705831
+0.0698679
+0.0692146
+0.0686251
+0.068101
+0.0676438
+0.0672549
+0.0669355
+0.0666865
+0.0665088
+0.0664009
+0.0663532
+0.0663779
+0.0664747
+0.0666435
+0.0668836
+0.0671943
+0.0675747
+0.0669207
+0.0650273
+0.0631472
+0.0612866
+0.0594486
+0.0576352
+0.0558488
+0.0540922
+0.0523684
+0.0506806
+0.0490326
+0.0474285
+0.045873
+0.0443711
+0.0429286
+0.041551
+0.0402405
+0.0390091
+0.0378645
+0.0368148
+0.0358684
+0.0350335
+0.0343176
+0.033709
+0.0332338
+0.0328979
+0.0327057
+0.0326595
+0.0327602
+0.0330062
+0.0315742
+0.0296793
+0.0278278
+0.0260245
+0.0242738
+0.0225999
+0.0210213
+0.0195609
+0.0182473
+0.0171142
+0.0161632
+0.0154557
+0.0150364
+0.0149201
+0.015105
+0.0155848
+0.0163462
+0.0173481
+0.0185354
+0.0198938
+0.0213908
+0.0229992
+0.0246967
+0.0264483
+0.0282604
+0.0301225
+0.0319879
+0.0336507
+0.0348134
+0.0360718
+0.0374151
+0.0388312
+0.0403167
+0.0418641
+0.043467
+0.0451192
+0.0468157
+0.0485518
+0.0503233
+0.0521268
+0.0539589
+0.0558168
+0.0576981
+0.0596006
+0.0615157
+0.0634461
+0.065393
+0.0732442
+0.0729272
+0.0726749
+0.0724879
+0.0723668
+0.0717521
+0.0710486
+0.0704063
+0.0698269
+0.0693119
+0.0688627
+0.0684807
+0.068167
+0.0679226
+0.0677481
+0.0676442
+0.0675988
+0.0676229
+0.067718
+0.0678837
+0.0681194
+0.0684245
+0.0687981
+0.066905
+0.0650112
+0.0631306
+0.0612695
+0.0594309
+0.057617
+0.0558301
+0.0540729
+0.0523483
+0.0506599
+0.0490112
+0.0474064
+0.0458501
+0.0443475
+0.0429041
+0.0415258
+0.0402145
+0.0389823
+0.0378368
+0.0367864
+0.0358391
+0.0350036
+0.034287
+0.0336779
+0.0332023
+0.0328661
+0.0326736
+0.0326274
+0.0327281
+0.0329744
+0.0316877
+0.0298
+0.0279513
+0.0261461
+0.0244041
+0.0227398
+0.0211716
+0.0197224
+0.0184203
+0.0172791
+0.0163275
+0.015627
+0.0152122
+0.0150956
+0.0152837
+0.0157689
+0.0165325
+0.0175382
+0.0187281
+0.0200735
+0.021558
+0.0231549
+0.0248417
+0.0265838
+0.0283872
+0.0302419
+0.0320419
+0.0331379
+0.0343215
+0.0355914
+0.0369476
+0.038381
+0.0398832
+0.0414469
+0.0430652
+0.0447323
+0.0464429
+0.0481924
+0.0499767
+0.0517922
+0.0536358
+0.0555045
+0.0573961
+0.0593045
+0.0612263
+0.0631655
+0.0651196
+0.0740263
+0.0737126
+0.073463
+0.073278
+0.0731582
+0.0729622
+0.0722705
+0.0716391
+0.0710697
+0.0705638
+0.0701226
+0.0697476
+0.0694396
+0.0691996
+0.0690284
+0.0689264
+0.0688915
+0.0689152
+0.0690085
+0.069171
+0.0694024
+0.0697019
+0.0688709
+0.0669611
+0.0650689
+0.06319
+0.0613307
+0.059494
+0.0576821
+0.0558972
+0.0541422
+0.0524199
+0.0507339
+0.0490876
+0.0474854
+0.0459318
+0.044432
+0.0429915
+0.041616
+0.0403076
+0.0390784
+0.0379358
+0.0368882
+0.0359436
+0.0351105
+0.0343962
+0.0337891
+0.0333151
+0.03298
+0.0327882
+0.0327422
+0.0328425
+0.033088
+0.0319423
+0.0300576
+0.028217
+0.02643
+0.024708
+0.0230656
+0.0215212
+0.0200972
+0.018821
+0.0177057
+0.0167783
+0.0160975
+0.0156931
+0.0155801
+0.0157643
+0.0162352
+0.0169779
+0.0179586
+0.0191367
+0.0204552
+0.0219139
+0.0234865
+0.0251518
+0.0268926
+0.0286813
+0.0305181
+0.0316072
+0.0327177
+0.0339334
+0.0352361
+0.0366054
+0.0380517
+0.0395665
+0.0411422
+0.042772
+0.0444501
+0.0461712
+0.0479306
+0.0497241
+0.0515454
+0.0533945
+0.0552686
+0.0571651
+0.0590744
+0.0610016
+0.0629459
+0.064906
+0.0748643
+0.0745542
+0.0743074
+0.0741245
+0.0740061
+0.0739524
+0.0735337
+0.0729133
+0.0723539
+0.071857
+0.0714238
+0.0710556
+0.0707534
+0.0705179
+0.0703498
+0.0702498
+0.0702179
+0.0702495
+0.0703411
+0.0705006
+0.0707276
+0.0709177
+0.068995
+0.0670886
+0.0652002
+0.0633251
+0.06147
+0.0596376
+0.0578301
+0.05605
+0.0542999
+0.0525828
+0.0509021
+0.0492615
+0.0476651
+0.0461176
+0.044624
+0.0431899
+0.0418209
+0.0405192
+0.0392965
+0.0381606
+0.0371192
+0.0361807
+0.0353467
+0.0346289
+0.0340372
+0.0335707
+0.0332382
+0.0330479
+0.0330023
+0.0331019
+0.0333454
+0.0323239
+0.0304627
+0.0286483
+0.0268899
+0.0251993
+0.0235912
+0.0220835
+0.0206983
+0.0194616
+0.0183852
+0.0174938
+0.0168419
+0.016454
+0.0163463
+0.0165238
+0.0169736
+0.0176853
+0.0186289
+0.019767
+0.0210461
+0.0224664
+0.0240029
+0.0256347
+0.0273447
+0.0291192
+0.0303162
+0.0313194
+0.0324397
+0.0336655
+0.0349856
+0.0363735
+0.0378287
+0.039352
+0.040936
+0.0425736
+0.0442516
+0.0459723
+0.0477316
+0.0495253
+0.0513497
+0.0532012
+0.0550769
+0.0569749
+0.0588932
+0.0608298
+0.0627832
+0.0647518
+0.0757564
+0.07545
+0.0752061
+0.0750254
+0.0749084
+0.0748554
+0.0748397
+0.0742302
+0.0736808
+0.0731929
+0.0727677
+0.0724064
+0.0721097
+0.0718787
+0.0717139
+0.0716157
+0.0715845
+0.0716203
+0.0717146
+0.071871
+0.0720938
+0.0711057
+0.0691882
+0.0672873
+0.0654046
+0.0635356
+0.0616867
+0.059861
+0.0580605
+0.0562876
+0.0545452
+0.0528361
+0.0511637
+0.0495318
+0.0479444
+0.0464062
+0.0449222
+0.0434979
+0.0421389
+0.0408473
+0.0396348
+0.0385032
+0.037463
+0.0365247
+0.0356963
+0.0349857
+0.0344002
+0.0339424
+0.0336136
+0.0334254
+0.0333803
+0.0334787
+0.0337195
+0.0328474
+0.0310177
+0.0292377
+0.027517
+0.0258675
+0.0243036
+0.022843
+0.0215067
+0.0203193
+0.0192908
+0.0184433
+0.0178261
+0.0174583
+0.0173568
+0.0175259
+0.0179506
+0.018625
+0.0195232
+0.020612
+0.0218417
+0.0232134
+0.0247034
+0.0262918
+0.0279617
+0.0292914
+0.0301754
+0.0311831
+0.0323082
+0.0335239
+0.0348228
+0.0362078
+0.0376694
+0.0391989
+0.0407859
+0.0424191
+0.0441005
+0.0458251
+0.047588
+0.0493852
+0.051213
+0.0530683
+0.0549483
+0.0568506
+0.0587729
+0.0607135
+0.0626705
+0.0646425
+0.0767007
+0.0763981
+0.0761572
+0.0759788
+0.0758633
+0.0758109
+0.0758218
+0.0755877
+0.0750483
+0.0745693
+0.074152
+0.0737974
+0.0735064
+0.0732798
+0.0731181
+0.0730218
+0.0729912
+0.0730263
+0.0731268
+0.0732814
+0.0726961
+0.0711915
+0.06945
+0.0675565
+0.0656815
+0.0638199
+0.0619796
+0.0601627
+0.0583715
+0.0566084
+0.0548761
+0.0531776
+0.0515164
+0.049896
+0.0483206
+0.0467947
+0.0453234
+0.0439121
+0.0425628
+0.0412768
+0.0400694
+0.0389479
+0.0379199
+0.0369931
+0.0361755
+0.0354745
+0.0348971
+0.0344459
+0.034122
+0.0339367
+0.0338922
+0.0339892
+0.0342264
+0.0335063
+0.0317146
+0.029976
+0.0283003
+0.0266992
+0.025187
+0.0237807
+0.0225002
+0.021368
+0.0203925
+0.0195926
+0.0190129
+0.0186668
+0.0185719
+0.0187316
+0.0191296
+0.0197638
+0.0206124
+0.0216466
+0.0228205
+0.0241367
+0.025573
+0.0271104
+0.0284744
+0.0292454
+0.0301561
+0.0311535
+0.032251
+0.033456
+0.0347575
+0.036145
+0.037609
+0.0391409
+0.0407301
+0.0423654
+0.044049
+0.0457755
+0.0475402
+0.0493391
+0.0511686
+0.0530255
+0.0549069
+0.0568106
+0.0587343
+0.060676
+0.0626342
+0.0646073
+0.0776954
+0.0773966
+0.0771589
+0.0769828
+0.0768688
+0.0768171
+0.0768278
+0.076901
+0.076454
+0.0759839
+0.0755744
+0.0752265
+0.0749411
+0.0747188
+0.0745602
+0.0744658
+0.0744358
+0.0744702
+0.074569
+0.0742063
+0.072667
+0.0711618
+0.0696913
+0.0678885
+0.0660162
+0.064164
+0.0623338
+0.0605276
+0.0587475
+0.056996
+0.0552759
+0.0535901
+0.051942
+0.0503353
+0.0487741
+0.0472629
+0.0458066
+0.0444107
+0.043077
+0.0418069
+0.0406152
+0.0395092
+0.0384961
+0.0375836
+0.0367791
+0.0360898
+0.0355225
+0.0350793
+0.0347613
+0.0345794
+0.0345358
+0.0346309
+0.0348637
+0.0342927
+0.0325443
+0.0308525
+0.0292271
+0.0276796
+0.0262241
+0.0248765
+0.0236553
+0.0225811
+0.0216603
+0.0209091
+0.0203668
+0.0200426
+0.0199542
+0.0201045
+0.0204758
+0.0210695
+0.0218675
+0.0228449
+0.0239603
+0.025217
+0.026595
+0.0279588
+0.0285954
+0.0293632
+0.0302591
+0.0312345
+0.0323292
+0.0335314
+0.0348301
+0.0362148
+0.0376761
+0.0392053
+0.0407921
+0.042425
+0.0441063
+0.0458306
+0.0475933
+0.0493903
+0.0512179
+0.0530731
+0.0549529
+0.056855
+0.0587772
+0.0607176
+0.0626745
+0.0646464
+0.0787384
+0.0784436
+0.0782091
+0.0780353
+0.0779229
+0.0778719
+0.0778825
+0.0779547
+0.077896
+0.0774347
+0.0770329
+0.0766916
+0.0764116
+0.0761936
+0.0760382
+0.0759456
+0.0759161
+0.0759499
+0.0758131
+0.0742425
+0.0727039
+0.0711995
+0.0697315
+0.068186
+0.0664211
+0.0645806
+0.0627626
+0.060969
+0.0592022
+0.0574646
+0.0557589
+0.0540882
+0.0524558
+0.0508653
+0.0493209
+0.0478269
+0.0463884
+0.0450105
+0.0436951
+0.0424435
+0.0412702
+0.0401822
+0.0391866
+0.0382905
+0.0375012
+0.0368254
+0.0362696
+0.0358357
+0.0355244
+0.0353464
+0.0353037
+0.0353968
+0.0356247
+0.0351981
+0.033497
+0.0318558
+0.0302843
+0.0287937
+0.0273974
+0.0261104
+0.0249497
+0.0239337
+0.023067
+0.022363
+0.0218561
+0.0215536
+0.0214715
+0.0216123
+0.0219585
+0.0225131
+0.0232617
+0.0241827
+0.025239
+0.026435
+0.0277391
+0.0282456
+0.0288826
+0.0296429
+0.0305002
+0.0314681
+0.032555
+0.0337492
+0.0350398
+0.0364165
+0.03787
+0.0393917
+0.0409713
+0.0425973
+0.044272
+0.0459902
+0.047747
+0.0495384
+0.0513608
+0.0532109
+0.0550861
+0.0569837
+0.0589017
+0.0608381
+0.0627913
+0.0647596
+0.0798279
+0.0795372
+0.0793059
+0.0791346
+0.0790236
+0.0789733
+0.0789838
+0.079055
+0.0791868
+0.0789196
+0.0785254
+0.0781906
+0.077916
+0.0777022
+0.0775498
+0.077459
+0.0774301
+0.0774632
+0.0759117
+0.0743432
+0.0728068
+0.0713046
+0.0698388
+0.0683228
+0.0667866
+0.0650683
+0.0632643
+0.0614854
+0.0597339
+0.0580122
+0.0563231
+0.0546696
+0.0530551
+0.0514831
+0.0499578
+0.0484835
+0.047065
+0.0457076
+0.0444128
+0.043182
+0.0420293
+0.0409615
+0.0399853
+0.0391075
+0.038335
+0.0376742
+0.0371311
+0.0367073
+0.0364035
+0.0362299
+0.0361882
+0.036279
+0.0365014
+0.036213
+0.0345619
+0.0329738
+0.0314581
+0.0300259
+0.0286896
+0.0274632
+0.0263622
+0.0254027
+0.0245883
+0.0239259
+0.0234468
+0.0231651
+0.0230887
+0.0232197
+0.0235518
+0.0240698
+0.0247713
+0.0256342
+0.0266329
+0.027769
+0.0281587
+0.0286369
+0.0292716
+0.030011
+0.0308674
+0.0318243
+0.0328993
+0.0340815
+0.0353599
+0.0367247
+0.0381664
+0.0396768
+0.0412483
+0.0428741
+0.0445449
+0.046253
+0.0480002
+0.0497825
+0.0515963
+0.0534383
+0.0553057
+0.0571961
+0.0591072
+0.0610371
+0.0629841
+0.0649466
+0.0809621
+0.0806754
+0.0804474
+0.0802785
+0.0801692
+0.0801196
+0.0801299
+0.0802001
+0.08033
+0.0804367
+0.08005
+0.0797217
+0.0794524
+0.0792427
+0.0790932
+0.0790042
+0.0789759
+0.0776511
+0.076065
+0.0745023
+0.072969
+0.07147
+0.0700075
+0.0685294
+0.0669979
+0.0655004
+0.0638373
+0.0620748
+0.0603404
+0.0586366
+0.056966
+0.0553317
+0.0537371
+0.0521857
+0.0506815
+0.0492289
+0.0478325
+0.0464975
+0.0452253
+0.0440172
+0.042887
+0.0418411
+0.0408859
+0.0400279
+0.0392735
+0.0386287
+0.0380992
+0.0376823
+0.0373864
+0.0372174
+0.0371768
+0.0372652
+0.0374817
+0.0373186
+0.0357187
+0.0341843
+0.0327248
+0.0313504
+0.0300731
+0.0289055
+0.0278615
+0.0269554
+0.0261757
+0.0255508
+0.025102
+0.0248391
+0.0247679
+0.02489
+0.0252027
+0.025699
+0.0263685
+0.0271727
+0.0281169
+0.028381
+0.0286887
+0.0291582
+0.0297819
+0.0305089
+0.0313533
+0.0323229
+0.0333819
+0.0345476
+0.0358094
+0.0371576
+0.0385832
+0.0400779
+0.0416342
+0.0432456
+0.0449025
+0.0466011
+0.0483393
+0.050113
+0.0519185
+0.0537527
+0.0556109
+0.0574912
+0.0593928
+0.0613137
+0.0632522
+0.0652066
+0.082139
+0.0818565
+0.0816317
+0.0814653
+0.0813576
+0.0813087
+0.0813189
+0.0813881
+0.0815114
+0.0816866
+0.081605
+0.0812829
+0.0810188
+0.0808132
+0.0806666
+0.0805794
+0.0794629
+0.0778588
+0.076277
+0.0747188
+0.0731901
+0.0716957
+0.0702378
+0.0688052
+0.06728
+0.0657889
+0.0643379
+0.0627353
+0.0610196
+0.0593353
+0.0576849
+0.0560716
+0.0544986
+0.0529696
+0.0514883
+0.0500591
+0.0486865
+0.0473756
+0.0461277
+0.0449438
+0.0438375
+0.0428148
+0.0418818
+0.0410446
+0.0403092
+0.0396813
+0.0391645
+0.0387563
+0.0384687
+0.0383044
+0.038265
+0.0383509
+0.0385613
+0.0385172
+0.0369691
+0.0354889
+0.0340853
+0.0327681
+0.0315481
+0.0304372
+0.0294475
+0.0285841
+0.0278411
+0.0272543
+0.0268341
+0.0265883
+0.0265218
+0.0266359
+0.0269283
+0.0273934
+0.0280224
+0.0287959
+0.0289192
+0.0290725
+0.029373
+0.0298317
+0.0304416
+0.0311532
+0.0319806
+0.0329332
+0.0339991
+0.0351443
+0.0363854
+0.0377131
+0.0391184
+0.0405934
+0.0421307
+0.0437237
+0.0453632
+0.0470452
+0.0487675
+0.0505262
+0.0523175
+0.0541382
+0.0559853
+0.0578565
+0.0597494
+0.061662
+0.0635926
+0.0655389
+0.0833569
+0.0830785
+0.0828571
+0.0826932
+0.082587
+0.0825389
+0.0825463
+0.0826032
+0.0827181
+0.0828907
+0.0831207
+0.0828689
+0.0826098
+0.0824082
+0.0822645
+0.0813444
+0.0797261
+0.0781274
+0.0765512
+0.0749987
+0.0734758
+0.0719874
+0.0705356
+0.0691227
+0.0676305
+0.0661487
+0.0647058
+0.0633057
+0.0617691
+0.0601058
+0.0584772
+0.0568863
+0.0553365
+0.0538312
+0.0523743
+0.05097
+0.0496226
+0.0483371
+0.0471146
+0.0459562
+0.0448749
+0.0438763
+0.0429664
+0.0421508
+0.041435
+0.0408244
+0.0403181
+0.0399217
+0.0396425
+0.0394831
+0.0394449
+0.0395282
+0.0397324
+0.0398003
+0.0383042
+0.0368776
+0.0355288
+0.0342672
+0.0331025
+0.0320455
+0.0311071
+0.0302755
+0.029575
+0.0290233
+0.0286291
+0.0283988
+0.0283366
+0.0284434
+0.0287174
+0.0291539
+0.0297458
+0.0297249
+0.0297598
+0.0298994
+0.0301916
+0.0306381
+0.0312322
+0.031935
+0.0327427
+0.0336738
+0.0347183
+0.0358651
+0.0370821
+0.0383857
+0.0397673
+0.041219
+0.0427338
+0.0443052
+0.0459239
+0.047586
+0.0492895
+0.0510302
+0.0528044
+0.0546088
+0.0564406
+0.0582972
+0.0601762
+0.0620757
+0.0639937
+0.0659288
+0.084614
+0.0843398
+0.0841217
+0.0839602
+0.083855
+0.0837965
+0.0837953
+0.0838514
+0.0839645
+0.0841346
+0.0843612
+0.0844809
+0.0842268
+0.0840291
+0.0832987
+0.0816604
+0.0800484
+0.0784563
+0.0768868
+0.0753414
+0.0738255
+0.0723443
+0.0708997
+0.0694943
+0.0680375
+0.0665742
+0.0651406
+0.0637501
+0.0624056
+0.0609453
+0.0593398
+0.0577727
+0.0562473
+0.054767
+0.0533357
+0.0519574
+0.0506363
+0.0493771
+0.0481811
+0.0470489
+0.0459933
+0.0450196
+0.0441332
+0.0433395
+0.0426437
+0.0420506
+0.0415553
+0.0411707
+0.0409001
+0.0407456
+0.0407086
+0.0407893
+0.0409872
+0.0411601
+0.0397153
+0.0383412
+0.0370458
+0.0358375
+0.0347256
+0.0337195
+0.032822
+0.0320275
+0.0313662
+0.0308465
+0.0304759
+0.0302597
+0.0302012
+0.0303015
+0.0305589
+0.0309694
+0.0308224
+0.0307001
+0.0307168
+0.0308465
+0.0311299
+0.0315631
+0.0321401
+0.0328447
+0.0336305
+0.0345376
+0.0355568
+0.0366786
+0.0378879
+0.0391693
+0.0405242
+0.0419497
+0.0434391
+0.0449858
+0.046581
+0.0482205
+0.0499023
+0.0516223
+0.0533768
+0.0551626
+0.0569765
+0.0588162
+0.0606791
+0.0625633
+0.0644669
+0.0663882
+0.0859086
+0.0856385
+0.0854237
+0.0852551
+0.0851412
+0.0850836
+0.0850824
+0.0851376
+0.0852491
+0.0854166
+0.0856398
+0.0859184
+0.0858692
+0.0853208
+0.0836647
+0.0820336
+0.0804292
+0.0788447
+0.0772831
+0.0757458
+0.0742382
+0.0727653
+0.0713294
+0.0699325
+0.0685122
+0.0670592
+0.0656362
+0.0642565
+0.0629227
+0.061638
+0.0602697
+0.0587274
+0.0572274
+0.0557732
+0.0543684
+0.0530169
+0.0517229
+0.0504908
+0.0493218
+0.0482164
+0.0471869
+0.0462383
+0.0453758
+0.0446042
+0.0439285
+0.043349
+0.0428687
+0.0424961
+0.0422339
+0.0420843
+0.0420485
+0.0421267
+0.0423183
+0.0425893
+0.0411946
+0.0398715
+0.0386274
+0.0374702
+0.0364082
+0.0354499
+0.0345838
+0.0338306
+0.0332052
+0.0327148
+0.0323656
+0.0321621
+0.0321071
+0.0322014
+0.0324437
+0.0321817
+0.0319146
+0.0317868
+0.0317899
+0.0319162
+0.0321901
+0.0326093
+0.0331681
+0.0338562
+0.0346343
+0.0355158
+0.0365076
+0.0376011
+0.0387817
+0.040035
+0.0413665
+0.0427669
+0.0442287
+0.0457487
+0.0473214
+0.0489416
+0.0506026
+0.0522996
+0.0540321
+0.0557969
+0.0575909
+0.0594115
+0.0612563
+0.0631233
+0.0650105
+0.0669162
+0.0872379
+0.0869654
+0.0867432
+0.0865759
+0.0864638
+0.0864071
+0.0864059
+0.0864602
+0.08657
+0.086735
+0.0869548
+0.0872292
+0.0874002
+0.0857311
+0.0840859
+0.0824634
+0.0808674
+0.0792918
+0.0777391
+0.0762111
+0.0747129
+0.0732496
+0.0718233
+0.0704362
+0.0690502
+0.0676117
+0.0662006
+0.0648329
+0.0635113
+0.0622387
+0.0610183
+0.0597472
+0.0582735
+0.0568461
+0.0554684
+0.0541444
+0.052878
+0.0516734
+0.0505318
+0.0494535
+0.0484503
+0.0475269
+0.0466882
+0.0459387
+0.0452829
+0.0447171
+0.0442517
+0.0438908
+0.043637
+0.0434923
+0.0434576
+0.0435332
+0.0437187
+0.0440125
+0.042735
+0.0414611
+0.0402662
+0.0391575
+0.0381424
+0.0372224
+0.0363921
+0.0356772
+0.0350847
+0.0346209
+0.0342911
+0.0340991
+0.0340473
+0.0341362
+0.0337597
+0.0333617
+0.0331041
+0.03297
+0.0329733
+0.0330965
+0.0333607
+0.0337653
+0.0343053
+0.0349644
+0.0357297
+0.0365991
+0.0375623
+0.0386259
+0.0397761
+0.0409991
+0.0423002
+0.0436725
+0.0451095
+0.0466018
+0.0481466
+0.0497399
+0.0513773
+0.0530546
+0.0547672
+0.056509
+0.0582811
+0.0600808
+0.0619057
+0.0637537
+0.0656227
+0.0675111
+0.0885866
+0.088315
+0.0880962
+0.0879315
+0.0878211
+0.0877653
+0.0877641
+0.0878176
+0.0879257
+0.0880881
+0.0883046
+0.0885748
+0.0878478
+0.0861874
+0.0845511
+0.0829388
+0.0813522
+0.0797942
+0.0782539
+0.0767361
+0.0752484
+0.0737957
+0.0723801
+0.071004
+0.0696423
+0.0682302
+0.0668321
+0.0654776
+0.0641692
+0.06291
+0.0617028
+0.0605509
+0.059382
+0.0579819
+0.0566319
+0.0553357
+0.0540972
+0.0529204
+0.0518062
+0.050755
+0.049778
+0.0488797
+0.0480646
+0.0473369
+0.0466981
+0.0461487
+0.0456979
+0.0453485
+0.0451029
+0.0449629
+0.0449293
+0.0450025
+0.0451819
+0.0454663
+0.0443302
+0.0431035
+0.0419554
+0.0408925
+0.0399216
+0.0390315
+0.0382405
+0.0375608
+0.0369985
+0.036559
+0.0362468
+0.0360652
+0.0360162
+0.0355316
+0.0350168
+0.0346332
+0.0343852
+0.0342525
+0.0342557
+0.034376
+0.0346305
+0.0350204
+0.0355413
+0.0361715
+0.0369117
+0.0377647
+0.038711
+0.0397439
+0.0408639
+0.0420553
+0.0433247
+0.0446655
+0.0460715
+0.047537
+0.0490558
+0.0506205
+0.0522303
+0.053881
+0.0555691
+0.0572912
+0.0590443
+0.0608217
+0.0626251
+0.0644524
+0.0663017
+0.0681713
+0.0899661
+0.0896978
+0.0894824
+0.0893202
+0.0892116
+0.0891566
+0.0891555
+0.0892081
+0.0893145
+0.0894744
+0.0896876
+0.0899536
+0.0883475
+0.0866966
+0.0850701
+0.0834679
+0.0818916
+0.080344
+0.0788262
+0.0773197
+0.0758434
+0.0744023
+0.0729985
+0.0716342
+0.0702972
+0.0688991
+0.0675288
+0.0661885
+0.0648945
+0.0636496
+0.0624568
+0.061319
+0.0602394
+0.059177
+0.0578549
+0.0565867
+0.0553762
+0.0542272
+0.0531404
+0.0521161
+0.0511651
+0.0502916
+0.0494998
+0.0487935
+0.0481705
+0.0476381
+0.0472015
+0.0468633
+0.0466257
+0.0464902
+0.0464578
+0.0465286
+0.0467021
+0.0469773
+0.0459744
+0.0447928
+0.0436891
+0.0426694
+0.041734
+0.0408779
+0.0401233
+0.039476
+0.0389414
+0.0385241
+0.0382279
+0.0380558
+0.0374762
+0.0368585
+0.0363625
+0.0359933
+0.0357547
+0.0356237
+0.0356268
+0.0357386
+0.0359834
+0.0363588
+0.0368609
+0.0374679
+0.038183
+0.0390081
+0.0399301
+0.0409322
+0.0420247
+0.0431968
+0.0444336
+0.0457419
+0.0471159
+0.0485498
+0.0500386
+0.0515774
+0.0531599
+0.0547826
+0.0564438
+0.05814
+0.0598683
+0.0616261
+0.0634108
+0.0652172
+0.0670455
+0.0688949
+0.0913764
+0.0911124
+0.0909003
+0.0907406
+0.0906337
+0.0905796
+0.0905785
+0.0906303
+0.090735
+0.0908924
+0.0911023
+0.0905621
+0.0888983
+0.0872579
+0.085642
+0.0840507
+0.0824855
+0.0809493
+0.0794439
+0.0779605
+0.0764965
+0.075068
+0.0736769
+0.0723254
+0.0709938
+0.0696305
+0.0682884
+0.0669636
+0.0656849
+0.0644552
+0.0632776
+0.0621548
+0.0610901
+0.0600501
+0.0590639
+0.0578936
+0.056711
+0.0555896
+0.05453
+0.0535323
+0.0526069
+0.0517578
+0.0509887
+0.0503019
+0.0496958
+0.04918
+0.0487572
+0.0484298
+0.0482
+0.0480689
+0.0480376
+0.048106
+0.0482739
+0.0485402
+0.0476627
+0.0465239
+0.0454623
+0.0444832
+0.043576
+0.0427569
+0.042036
+0.0414186
+0.0409094
+0.0405123
+0.0402308
+0.0395585
+0.0388603
+0.038265
+0.0377874
+0.0374322
+0.0372001
+0.0370738
+0.0370722
+0.0371794
+0.0374148
+0.037776
+0.0382595
+0.0388447
+0.0395348
+0.0403324
+0.0412295
+0.0422008
+0.0432613
+0.0444046
+0.0456209
+0.0468961
+0.0482371
+0.0496387
+0.0510957
+0.0526037
+0.0541569
+0.0557506
+0.0573837
+0.059053
+0.0607553
+0.0624881
+0.0642489
+0.0660354
+0.0678456
+0.0696776
+0.0928171
+0.0925571
+0.0923484
+0.0921912
+0.0920859
+0.0920327
+0.0920316
+0.0920826
+0.0921857
+0.0923406
+0.0925472
+0.0911522
+0.0894994
+0.0878698
+0.0862627
+0.0846817
+0.0831284
+0.0816043
+0.0801111
+0.0786506
+0.0772063
+0.0757912
+0.0744136
+0.0730659
+0.0717448
+0.0704224
+0.0690957
+0.0678003
+0.0665377
+0.0653241
+0.0641624
+0.0630554
+0.0620061
+0.0609811
+0.0600103
+0.0591047
+0.0580978
+0.0570037
+0.0559709
+0.0549993
+0.054099
+0.0532736
+0.0525268
+0.0518571
+0.0512694
+0.0507696
+0.0503601
+0.0500433
+0.0498208
+0.0496941
+0.0496637
+0.04973
+0.0498924
+0.05015
+0.0493904
+0.0482924
+0.0472705
+0.0463242
+0.045449
+0.0446642
+0.0439747
+0.0433849
+0.042899
+0.0425205
+0.0417646
+0.0409986
+0.0403159
+0.0397424
+0.0392829
+0.0389413
+0.0387151
+0.0385937
+0.0385876
+0.0386907
+0.038917
+0.0392644
+0.0397297
+0.0402935
+0.0409593
+0.0417296
+0.0425988
+0.0435427
+0.0445713
+0.0456819
+0.0468685
+0.0481223
+0.0494301
+0.0507988
+0.0522235
+0.0536997
+0.0552221
+0.056786
+0.0583901
+0.0600314
+0.0617068
+0.0634136
+0.0651493
+0.0669118
+0.0686989
+0.0705088
+0.0942866
+0.0940307
+0.0938252
+0.0936705
+0.0935669
+0.0935145
+0.0935134
+0.0935636
+0.0936651
+0.0938176
+0.0934544
+0.091789
+0.0901453
+0.0885252
+0.0869301
+0.0853615
+0.0838208
+0.0823095
+0.0808294
+0.0793821
+0.0779695
+0.0765702
+0.0752052
+0.0738608
+0.0725542
+0.071273
+0.0699624
+0.068691
+0.067445
+0.0662481
+0.0651029
+0.0640121
+0.0629788
+0.0619756
+0.0610206
+0.0601302
+0.0593059
+0.0584657
+0.0574591
+0.0565131
+0.0556374
+0.0548352
+0.0541095
+0.0534569
+0.052887
+0.0524025
+0.0520059
+0.0516992
+0.0514839
+0.0513612
+0.0513319
+0.051396
+0.0515531
+0.0518025
+0.0511536
+0.0500943
+0.0491099
+0.04819
+0.0473493
+0.0465965
+0.0459359
+0.0453716
+0.0449072
+0.0440623
+0.0432278
+0.0424899
+0.0418357
+0.0412833
+0.0408411
+0.0405127
+0.0402923
+0.0401757
+0.0401655
+0.0402645
+0.040482
+0.0408161
+0.0412639
+0.041807
+0.0424491
+0.0431928
+0.0440331
+0.0449514
+0.0459484
+0.0470265
+0.0481801
+0.0494039
+0.0506897
+0.0520253
+0.0534172
+0.0548614
+0.0563524
+0.0578858
+0.0594603
+0.0610728
+0.0627203
+0.0644003
+0.0661101
+0.0678476
+0.0696107
+0.0713975
+0.0957837
+0.0955318
+0.0953295
+0.0951773
+0.0950753
+0.0950238
+0.0950227
+0.0950721
+0.095172
+0.095322
+0.0941227
+0.0924685
+0.090837
+0.0892295
+0.0876473
+0.0860917
+0.0845643
+0.0830665
+0.0816001
+0.0801668
+0.0787683
+0.0773996
+0.0760399
+0.0747115
+0.0734201
+0.072172
+0.0708862
+0.0696373
+0.0684106
+0.0672308
+0.0661026
+0.0650287
+0.0640117
+0.0630305
+0.0620918
+0.061217
+0.0603948
+0.0596137
+0.0588825
+0.0580702
+0.0572182
+0.0564385
+0.0557307
+0.0550973
+0.0545445
+0.0540749
+0.0536907
+0.0533936
+0.0531852
+0.0530665
+0.0530381
+0.0531001
+0.0532522
+0.0534937
+0.0529487
+0.051926
+0.0509718
+0.0500821
+0.0492737
+0.0485507
+0.0479171
+0.0473764
+0.0464466
+0.0455559
+0.0447493
+0.0440369
+0.0434129
+0.0428808
+0.0424552
+0.0421394
+0.0419246
+0.0418126
+0.0417986
+0.0418938
+0.0421028
+0.0424241
+0.0428552
+0.0433784
+0.0439975
+0.0447155
+0.0455277
+0.0464207
+0.0473869
+0.0484329
+0.0495538
+0.0507445
+0.0520003
+0.0533136
+0.0546728
+0.0560846
+0.057544
+0.0590464
+0.0605907
+0.0621739
+0.063793
+0.0654454
+0.0671287
+0.0688405
+0.0705788
+0.0723416
+0.0973071
+0.0970591
+0.0968601
+0.0967102
+0.0966099
+0.0965592
+0.0965581
+0.0966067
+0.096705
+0.0964994
+0.094836
+0.0931945
+0.091576
+0.0899817
+0.0884129
+0.086871
+0.0853576
+0.083874
+0.082422
+0.0810031
+0.0796193
+0.0782722
+0.0769279
+0.0756161
+0.0743404
+0.0731081
+0.0718649
+0.0706333
+0.0694318
+0.0682697
+0.067159
+0.0661022
+0.065096
+0.064143
+0.0632207
+0.0623517
+0.0615424
+0.0607718
+0.0600548
+0.0594099
+0.058838
+0.0580751
+0.0573839
+0.0567689
+0.0562326
+0.0557772
+0.0554048
+0.055117
+0.0549151
+0.0548001
+0.0547726
+0.0548326
+0.05498
+0.0552139
+0.0547727
+0.0537846
+0.0528551
+0.0519976
+0.0511708
+0.0503461
+0.0496046
+0.048911
+0.047966
+0.0471041
+0.0463245
+0.0456367
+0.0450385
+0.0445259
+0.0441162
+0.0438123
+0.043606
+0.0434983
+0.0434808
+0.0435723
+0.0437733
+0.0440825
+0.0444975
+0.0450016
+0.0455987
+0.0462919
+0.0470768
+0.047945
+0.048881
+0.0498957
+0.0509844
+0.0521425
+0.0533654
+0.0546488
+0.0559818
+0.057364
+0.058793
+0.0602643
+0.0617782
+0.0633317
+0.0649219
+0.0665463
+0.0682024
+0.0698879
+0.0716008
+0.0733391
+0.0988555
+0.0986114
+0.0984155
+0.0982681
+0.0981693
+0.0981194
+0.0981183
+0.0981662
+0.0982629
+0.097244
+0.0955936
+0.0939654
+0.0923603
+0.0907798
+0.089225
+0.0876975
+0.0861985
+0.0847297
+0.0832925
+0.0818888
+0.0805202
+0.0791886
+0.0778674
+0.0765728
+0.0753132
+0.0740971
+0.0728964
+0.0716825
+0.0705063
+0.0693622
+0.0682693
+0.0672248
+0.0662331
+0.0652988
+0.064392
+0.0635395
+0.0627455
+0.0619819
+0.061279
+0.0606472
+0.0600886
+0.0596054
+0.0590657
+0.0584684
+0.0579478
+0.057506
+0.0571448
+0.0568658
+0.0566702
+0.0565588
+0.0565321
+0.0565903
+0.0567331
+0.0569598
+0.056572
+0.0555295
+0.0545228
+0.053576
+0.0526979
+0.0518975
+0.0511785
+0.0504513
+0.0495358
+0.0487017
+0.047948
+0.0472838
+0.0467068
+0.0462126
+0.045818
+0.0455255
+0.0453309
+0.0452247
+0.0452066
+0.0452946
+0.045488
+0.0457856
+0.0461852
+0.0466712
+0.0472472
+0.0479165
+0.0486753
+0.0495154
+0.0504223
+0.0514066
+0.0524639
+0.05359
+0.0547806
+0.0560316
+0.0573325
+0.0586829
+0.060083
+0.0615291
+0.0630181
+0.0645431
+0.0661042
+0.0677002
+0.0693288
+0.0709875
+0.0726745
+0.0743877
+0.100428
+0.100188
+0.0999948
+0.0998497
+0.0997525
+0.0997034
+0.0997023
+0.0997494
+0.0996876
+0.0980294
+0.0963925
+0.0947779
+0.0931869
+0.0916206
+0.0900804
+0.0885676
+0.0870836
+0.0856299
+0.0842082
+0.08282
+0.081467
+0.0801511
+0.0788566
+0.0775795
+0.0763366
+0.075137
+0.0739783
+0.0727825
+0.0716318
+0.0705059
+0.0694266
+0.0683967
+0.0674223
+0.0665046
+0.0656145
+0.0647795
+0.0639969
+0.0632405
+0.0625518
+0.061933
+0.0613861
+0.0609128
+0.0605001
+0.0601645
+0.0596941
+0.0592654
+0.058915
+0.0586444
+0.0584547
+0.0583467
+0.0583208
+0.0583772
+0.0585157
+0.0587355
+0.0580061
+0.0569752
+0.0560013
+0.055093
+0.0542569
+0.0534937
+0.0527964
+0.0520383
+0.0511512
+0.0503439
+0.0496152
+0.0489736
+0.0484167
+0.0479402
+0.0475599
+0.0472782
+0.0470945
+0.0469885
+0.0469711
+0.0470558
+0.0472421
+0.0475286
+0.0479138
+0.0483818
+0.0489376
+0.0495841
+0.0503178
+0.0511315
+0.0520102
+0.052965
+0.0539918
+0.0550867
+0.0562456
+0.0574647
+0.0587338
+0.0600528
+0.0614216
+0.062837
+0.0642959
+0.0657953
+0.0673311
+0.0688987
+0.0704996
+0.0721314
+0.0737922
+0.0754801
+0.102023
+0.101787
+0.101597
+0.101454
+0.101358
+0.10131
+0.101309
+0.101355
+0.100502
+0.0988571
+0.0972341
+0.0956338
+0.0940572
+0.0925057
+0.0909805
+0.0894829
+0.0880143
+0.0865763
+0.0851703
+0.0837981
+0.0824611
+0.0811614
+0.0798937
+0.078634
+0.077408
+0.0762252
+0.0750878
+0.0739311
+0.0728004
+0.0716948
+0.07063
+0.0696179
+0.0686608
+0.0677599
+0.0668865
+0.066069
+0.0652861
+0.0645449
+0.0638702
+0.0632643
+0.062729
+0.0622659
+0.0618623
+0.0615341
+0.0612824
+0.0610526
+0.0607125
+0.06045
+0.060266
+0.0601613
+0.0601362
+0.0601909
+0.0603251
+0.0605105
+0.0594747
+0.0584673
+0.0575181
+0.0566331
+0.05582
+0.0550822
+0.0543794
+0.0536679
+0.0528081
+0.0520265
+0.0513217
+0.0507017
+0.050164
+0.0497042
+0.0493376
+0.049066
+0.0488911
+0.0487825
+0.0487657
+0.0488473
+0.0490267
+0.0493029
+0.0496743
+0.0501244
+0.0506612
+0.0512859
+0.0519956
+0.0527867
+0.0536406
+0.0545669
+0.0555641
+0.0566286
+0.0577566
+0.0589444
+0.0601823
+0.0614702
+0.0628082
+0.064193
+0.0656217
+0.0670916
+0.0685999
+0.0701438
+0.0717169
+0.0733217
+0.0749561
+0.0766183
+0.10364
+0.103407
+0.10322
+0.10308
+0.102986
+0.102938
+0.102937
+0.102983
+0.101357
+0.0997261
+0.0981175
+0.0965318
+0.0949702
+0.0934338
+0.0919239
+0.0904419
+0.0889892
+0.0875672
+0.0861774
+0.0848214
+0.0835009
+0.0822176
+0.0809732
+0.0797237
+0.0785147
+0.0773489
+0.0762282
+0.0751197
+0.0740024
+0.0729261
+0.07188
+0.0708857
+0.0699459
+0.0690618
+0.0682051
+0.067405
+0.0666225
+0.0658963
+0.0652356
+0.0646424
+0.0641187
+0.0636657
+0.063271
+0.0629501
+0.0627042
+0.0625341
+0.0624383
+0.0622803
+0.0621018
+0.0620001
+0.0619758
+0.0620289
+0.0621592
+0.0619972
+0.0609829
+0.0600023
+0.0590761
+0.0582148
+0.0574242
+0.056684
+0.0559933
+0.0553361
+0.0545027
+0.0537458
+0.0530638
+0.0524644
+0.0519449
+0.0515011
+0.0511473
+0.0508854
+0.0507097
+0.0506017
+0.0505856
+0.0506642
+0.0508372
+0.0511036
+0.051462
+0.051901
+0.0524196
+0.0530236
+0.0537103
+0.0544765
+0.0553097
+0.0562085
+0.0571771
+0.0582121
+0.0593099
+0.0604673
+0.0616747
+0.062932
+0.0642395
+0.0655941
+0.066993
+0.0684334
+0.0699128
+0.0714287
+0.0729789
+0.0745573
+0.0761652
+0.0778016
+0.105278
+0.105049
+0.104865
+0.104726
+0.104634
+0.104587
+0.104586
+0.103888
+0.102251
+0.100635
+0.0990414
+0.0974708
+0.0959244
+0.0944036
+0.0929095
+0.0914435
+0.0900069
+0.0886012
+0.0872279
+0.0858885
+0.0845847
+0.083318
+0.0820873
+0.0808581
+0.0796663
+0.0785176
+0.0774139
+0.0763469
+0.0752479
+0.0741897
+0.0731742
+0.0721978
+0.0712753
+0.0704079
+0.0695677
+0.0687769
+0.0680031
+0.0672918
+0.066645
+0.0660645
+0.0655521
+0.0651091
+0.0647232
+0.0644096
+0.0641692
+0.064003
+0.0639094
+0.0638784
+0.063892
+0.0638612
+0.0638376
+0.0638891
+0.0640156
+0.0635141
+0.0625275
+0.0615736
+0.0606733
+0.059835
+0.0590512
+0.0583165
+0.0576453
+0.0570398
+0.0562316
+0.0554982
+0.0548381
+0.0542583
+0.0537561
+0.0533274
+0.0529858
+0.052733
+0.0525549
+0.0524494
+0.0524338
+0.0525097
+0.0526766
+0.0529338
+0.0532799
+0.0537082
+0.0542095
+0.0547938
+0.0554586
+0.0562009
+0.0570141
+0.0578864
+0.0588274
+0.0598339
+0.0609025
+0.0620302
+0.0632077
+0.0644351
+0.0657127
+0.0670376
+0.0684069
+0.0698182
+0.0712688
+0.0727565
+0.074279
+0.0758342
+0.0774174
+0.0789951
+0.106935
+0.10671
+0.106529
+0.106392
+0.106301
+0.106255
+0.106254
+0.104807
+0.103185
+0.101584
+0.100005
+0.0984495
+0.0969188
+0.0954138
+0.0939358
+0.0924861
+0.0910659
+0.0896769
+0.0883203
+0.0869977
+0.0857107
+0.084461
+0.083236
+0.0820353
+0.0808609
+0.0797294
+0.0786427
+0.0776026
+0.0765359
+0.0754957
+0.0745054
+0.0735516
+0.0726464
+0.0717955
+0.0709718
+0.0701836
+0.0694255
+0.0687289
+0.0680957
+0.0675277
+0.0670265
+0.0665933
+0.0662161
+0.0659095
+0.0656747
+0.0655122
+0.0654208
+0.0653905
+0.0654063
+0.065466
+0.0655622
+0.0655699
+0.0656508
+0.065049
+0.0640915
+0.0631798
+0.0623066
+0.0614812
+0.0606991
+0.0599845
+0.0593322
+0.0587544
+0.0579917
+0.0572809
+0.0566415
+0.0560804
+0.0555947
+0.0551802
+0.0548501
+0.0545998
+0.0544257
+0.0543226
+0.0543075
+0.0543808
+0.054542
+0.0547904
+0.0551248
+0.0555428
+0.0560278
+0.0565934
+0.0572373
+0.0579569
+0.0587494
+0.0595977
+0.0605121
+0.061491
+0.0625313
+0.0636301
+0.0647785
+0.0659768
+0.067225
+0.0685206
+0.0698609
+0.0712434
+0.0726656
+0.0741252
+0.0756202
+0.0771484
+0.0787024
+0.0802061
+0.0909316
+0.0890234
+0.0871286
+0.0852479
+0.0833824
+0.0815331
+0.0797011
+0.0778875
+0.0760939
+0.0743215
+0.0725688
+0.0708399
+0.0691373
+0.0674628
+0.0658186
+0.0642071
+0.0626308
+0.0610924
+0.0595948
+0.0581411
+0.0567325
+0.0553652
+0.0540522
+0.0527974
+0.0516052
+0.0504799
+0.0494262
+0.0484487
+0.047552
+0.0467409
+0.0460199
+0.0453932
+0.0448649
+0.0444181
+0.0440752
+0.0438392
+0.0437118
+0.0436941
+0.043786
+0.0439871
+0.0442956
+0.0447096
+0.0452259
+0.0458413
+0.0465516
+0.0473528
+0.0482402
+0.0491935
+0.0502236
+0.0513265
+0.0524978
+0.0537328
+0.0550274
+0.0563755
+0.0577751
+0.0592226
+0.0607147
+0.0622481
+0.0638199
+0.0654273
+0.0670677
+0.0687389
+0.0704385
+0.0721645
+0.0739152
+0.0756889
+0.0774838
+0.0792987
+0.0811321
+0.0829828
+0.0848498
+0.0864289
+0.0880053
+0.0896075
+0.0912342
+0.0928841
+0.0945559
+0.0962486
+0.0979282
+0.099593
+0.101274
+0.10245
+0.102801
+0.103198
+0.103639
+0.104079
+0.104555
+0.105075
+0.105637
+0.106242
+0.10688
+0.107558
+0.108272
+0.109021
+0.109804
+0.110622
+0.111475
+0.112324
+0.113208
+0.114128
+0.09001
+0.0880819
+0.0861664
+0.0842643
+0.0823765
+0.080504
+0.078648
+0.0768097
+0.0749902
+0.0731911
+0.0714139
+0.0696589
+0.0679267
+0.0662216
+0.0645458
+0.0629017
+0.0612918
+0.0597189
+0.0581859
+0.0566962
+0.0552532
+0.0538573
+0.0525066
+0.051214
+0.049984
+0.0488214
+0.047731
+0.046718
+0.0457875
+0.0449446
+0.0441943
+0.0435414
+0.0429903
+0.0425412
+0.042183
+0.0419364
+0.0418032
+0.0417846
+0.0418808
+0.0420909
+0.0424133
+0.0428454
+0.043384
+0.044025
+0.0447643
+0.0455969
+0.0465093
+0.0474966
+0.0485627
+0.0497025
+0.0509111
+0.0521837
+0.0535158
+0.0549011
+0.0563373
+0.0578208
+0.0593481
+0.060916
+0.0625213
+0.0641612
+0.0658332
+0.0675349
+0.069264
+0.0710186
+0.0727969
+0.0745971
+0.0764177
+0.0782573
+0.0801146
+0.0819883
+0.0836306
+0.0852025
+0.0868012
+0.0884252
+0.0900733
+0.091744
+0.0934363
+0.0951165
+0.0967805
+0.0984647
+0.100164
+0.10118
+0.101535
+0.101937
+0.102382
+0.102865
+0.103391
+0.103943
+0.104512
+0.105123
+0.105776
+0.106466
+0.107191
+0.107948
+0.108744
+0.109577
+0.110444
+0.1113
+0.112193
+0.113116
+0.0891328
+0.0871853
+0.0852496
+0.0833266
+0.081417
+0.079522
+0.0776425
+0.0757798
+0.073935
+0.0721096
+0.070305
+0.068523
+0.0667653
+0.0650305
+0.0633232
+0.0616465
+0.0600029
+0.0583953
+0.0568267
+0.0553003
+0.0538199
+0.0523892
+0.0510083
+0.0496767
+0.0484077
+0.0472062
+0.0460777
+0.0450275
+0.0440613
+0.0431847
+0.0424033
+0.0417223
+0.0411469
+0.0406814
+0.0403208
+0.0400627
+0.0399233
+0.0399038
+0.0400045
+0.0402244
+0.0405616
+0.0410133
+0.0415756
+0.0422441
+0.0430139
+0.043879
+0.0448178
+0.0458416
+0.0469452
+0.0481234
+0.0493707
+0.050682
+0.0520525
+0.0534757
+0.0549492
+0.0564692
+0.0580321
+0.0596345
+0.0612734
+0.0629459
+0.0646493
+0.0663813
+0.0681398
+0.0699226
+0.071728
+0.0735544
+0.0754002
+0.077264
+0.0791446
+0.0808543
+0.0824208
+0.0840153
+0.0856362
+0.0872819
+0.0889511
+0.0906426
+0.092323
+0.0939854
+0.0956691
+0.0973725
+0.0990909
+0.0999415
+0.100301
+0.100708
+0.101156
+0.101644
+0.102177
+0.102754
+0.103374
+0.104036
+0.104698
+0.105399
+0.106138
+0.106905
+0.107711
+0.108554
+0.109433
+0.11031
+0.111204
+0.112133
+0.0883012
+0.086335
+0.0843798
+0.0824364
+0.0805058
+0.0785888
+0.0766865
+0.0747999
+0.0729303
+0.0710791
+0.0692477
+0.0674378
+0.065651
+0.0638894
+0.0621538
+0.0604446
+0.0587675
+0.0571251
+0.0555206
+0.0539573
+0.0524389
+0.0509696
+0.0495535
+0.04819
+0.0468807
+0.0456391
+0.0444708
+0.0433818
+0.042378
+0.0414659
+0.0406514
+0.0399406
+0.0393391
+0.038852
+0.0384823
+0.0382118
+0.0380656
+0.0380452
+0.0381508
+0.0383813
+0.0387346
+0.0392073
+0.0397951
+0.040493
+0.0412955
+0.0421959
+0.0431713
+0.0442331
+0.045376
+0.0465938
+0.047881
+0.049232
+0.0506418
+0.0521035
+0.0536147
+0.0551715
+0.0567701
+0.0584072
+0.0600796
+0.0617843
+0.0635189
+0.065281
+0.0670682
+0.0688788
+0.0707109
+0.0725629
+0.0744333
+0.0763207
+0.0781021
+0.0796625
+0.0812521
+0.0828691
+0.0845119
+0.0861791
+0.0878693
+0.0895497
+0.09121
+0.0928923
+0.0945954
+0.0963178
+0.0980546
+0.0987361
+0.0991004
+0.0995115
+0.0999618
+0.100456
+0.100995
+0.101578
+0.102206
+0.102876
+0.103588
+0.104341
+0.105108
+0.105893
+0.106707
+0.107559
+0.108449
+0.109347
+0.110197
+0.111078
+0.0875142
+0.0855323
+0.0835583
+0.0815954
+0.0796444
+0.0777062
+0.0757817
+0.073872
+0.0719783
+0.070102
+0.0682444
+0.0664071
+0.0645918
+0.0628005
+0.0610353
+0.0592984
+0.0575889
+0.0559119
+0.0542715
+0.0526712
+0.0511146
+0.049606
+0.0481499
+0.046751
+0.0454082
+0.0441251
+0.0429156
+0.0417861
+0.0407431
+0.0397934
+0.038944
+0.0382014
+0.0375721
+0.0370618
+0.0366754
+0.0363986
+0.0362451
+0.0362237
+0.0363346
+0.0365766
+0.0369471
+0.0374424
+0.0380575
+0.0387867
+0.0396238
+0.0405612
+0.041575
+0.0426766
+0.04386
+0.0451188
+0.0464468
+0.0478384
+0.049288
+0.0507887
+0.0523379
+0.0539315
+0.0555659
+0.0572374
+0.058943
+0.0606797
+0.062445
+0.0642365
+0.066052
+0.0678897
+0.0697478
+0.0716247
+0.0735189
+0.0753762
+0.0769301
+0.0785139
+0.0801262
+0.0817655
+0.08343
+0.0851184
+0.0867982
+0.0884559
+0.0901364
+0.0918384
+0.0935607
+0.0953018
+0.0970568
+0.0975629
+0.0979336
+0.0983487
+0.0988022
+0.0993019
+0.0998473
+0.100437
+0.101072
+0.101749
+0.102469
+0.10323
+0.104032
+0.104873
+0.105731
+0.106548
+0.107332
+0.108153
+0.109013
+0.109903
+0.086761
+0.0847658
+0.0827804
+0.0808051
+0.0788345
+0.0768758
+0.07493
+0.0729981
+0.0710811
+0.0691805
+0.0672974
+0.0654335
+0.0635905
+0.0617701
+0.0599746
+0.0582061
+0.0564672
+0.0547595
+0.0530835
+0.0514462
+0.0498515
+0.0483034
+0.0468067
+0.0453665
+0.0439883
+0.04267
+0.041418
+0.0402464
+0.0391624
+0.0381735
+0.0372871
+0.0365109
+0.0358519
+0.0353168
+0.0349111
+0.0346292
+0.0344678
+0.0344453
+0.0345619
+0.0348162
+0.0352052
+0.0357246
+0.0363688
+0.0371312
+0.0380048
+0.0389812
+0.040035
+0.0411778
+0.042403
+0.0437038
+0.0450736
+0.0465062
+0.0479961
+0.049536
+0.0511231
+0.0527535
+0.0544232
+0.0561288
+0.057867
+0.0596351
+0.0614304
+0.0632506
+0.0650937
+0.0669577
+0.0688409
+0.0707419
+0.0726592
+0.0742259
+0.0758034
+0.0774102
+0.079045
+0.0807062
+0.0823922
+0.084071
+0.0857254
+0.0874035
+0.0891038
+0.0908251
+0.0925663
+0.0943258
+0.0960735
+0.0964077
+0.0967904
+0.0972121
+0.0976778
+0.0981833
+0.0987348
+0.0993316
+0.0999728
+0.100658
+0.101385
+0.102155
+0.102965
+0.103794
+0.104612
+0.105369
+0.10616
+0.106982
+0.107842
+0.108733
+0.086057
+0.0840451
+0.0820423
+0.0800493
+0.0780669
+0.0760959
+0.0741333
+0.0721801
+0.0702408
+0.0683168
+0.0664092
+0.0645197
+0.0626498
+0.0608013
+0.0589762
+0.0571768
+0.0554057
+0.0536655
+0.0519593
+0.0502869
+0.0486542
+0.0470667
+0.0455294
+0.0440475
+0.0426266
+0.0412728
+0.0399784
+0.0387633
+0.0376366
+0.0366065
+0.0356813
+0.0348693
+0.0341787
+0.0336169
+0.0331905
+0.0329047
+0.0327406
+0.0327169
+0.0328396
+0.0331072
+0.0335161
+0.0340612
+0.0347362
+0.0355337
+0.0364455
+0.0374626
+0.038558
+0.0397433
+0.0410114
+0.0423549
+0.0437669
+0.045241
+0.0467712
+0.0483501
+0.0499749
+0.0516415
+0.0533461
+0.055085
+0.0568552
+0.0586537
+0.0604782
+0.0623262
+0.0641958
+0.0660852
+0.0679926
+0.0699166
+0.071553
+0.0731231
+0.0747239
+0.0763534
+0.0780104
+0.0796932
+0.0813702
+0.0830207
+0.0846957
+0.0863937
+0.0881135
+0.0898538
+0.0916135
+0.0933909
+0.0949507
+0.0952889
+0.095676
+0.0961026
+0.0965763
+0.0970971
+0.0976589
+0.0982622
+0.0989104
+0.0996025
+0.100338
+0.101105
+0.101851
+0.102614
+0.103415
+0.104177
+0.104969
+0.1058
+0.106661
+0.107551
+0.0854004
+0.0833758
+0.0813565
+0.0793463
+0.0773458
+0.075356
+0.0733776
+0.0714117
+0.069455
+0.0675086
+0.0655775
+0.0636633
+0.0617675
+0.0598917
+0.0580381
+0.0562087
+0.054406
+0.0526328
+0.050892
+0.0491873
+0.0475224
+0.0459008
+0.0443237
+0.0428
+0.0413362
+0.0399388
+0.0385996
+0.0373397
+0.0361687
+0.0350955
+0.0341293
+0.0332795
+0.0325552
+0.0319649
+0.0315161
+0.031215
+0.0310658
+0.0310469
+0.0311762
+0.0314579
+0.0318879
+0.0324605
+0.0331681
+0.0340023
+0.0349542
+0.0360134
+0.0371515
+0.0383802
+0.0396919
+0.0410786
+0.042533
+0.0440484
+0.0456186
+0.047236
+0.0488979
+0.0506
+0.0523385
+0.0541098
+0.0559109
+0.0577389
+0.0595913
+0.061466
+0.063361
+0.0652745
+0.067205
+0.0689157
+0.0704765
+0.0720701
+0.0736937
+0.0753455
+0.0770242
+0.0786987
+0.0803444
+0.0820155
+0.0837106
+0.0854282
+0.0871671
+0.0889259
+0.0905292
+0.0920172
+0.0935328
+0.0942064
+0.094598
+0.0950307
+0.0955097
+0.0960363
+0.0966096
+0.097229
+0.0978854
+0.0985778
+0.0992205
+0.0999043
+0.100631
+0.1014
+0.10221
+0.103009
+0.103804
+0.104609
+0.105442
+0.106308
+0.0847942
+0.0827558
+0.0807243
+0.078698
+0.0766806
+0.0746731
+0.0726761
+0.0706906
+0.0687176
+0.0667582
+0.0648059
+0.0628682
+0.0609477
+0.0590459
+0.0571648
+0.0553066
+0.0534735
+0.0516682
+0.0498939
+0.0481538
+0.0464519
+0.0447924
+0.0431804
+0.0416197
+0.0401149
+0.0386756
+0.0372986
+0.0359932
+0.0347769
+0.0336593
+0.0326507
+0.0317613
+0.0310016
+0.0303811
+0.0299085
+0.029591
+0.0294336
+0.0294388
+0.0295816
+0.0298783
+0.0303308
+0.0309321
+0.0316739
+0.0325464
+0.0335396
+0.0346421
+0.0358238
+0.0370966
+0.0384521
+0.0398819
+0.0413784
+0.0429345
+0.0445441
+0.0461991
+0.0478969
+0.0496334
+0.0514046
+0.053207
+0.0550376
+0.0568937
+0.0587728
+0.0606728
+0.0625918
+0.0645281
+0.0663182
+0.067868
+0.0694524
+0.0710689
+0.0727149
+0.0743885
+0.0760597
+0.0776994
+0.0793658
+0.0810571
+0.0827718
+0.0845085
+0.0860089
+0.087464
+0.0889493
+0.0904632
+0.0920044
+0.0931544
+0.0935504
+0.0939957
+0.0944818
+0.0950141
+0.0955936
+0.0962006
+0.0967571
+0.0973598
+0.0980078
+0.0987001
+0.0994359
+0.100214
+0.101027
+0.101759
+0.10252
+0.103317
+0.104154
+0.10503
+0.0842406
+0.0821886
+0.0801438
+0.0781057
+0.0760727
+0.0740487
+0.0720344
+0.0700307
+0.0680386
+0.066059
+0.0640932
+0.0621403
+0.0601965
+0.0582702
+0.0563632
+0.0544776
+0.0526157
+0.0507799
+0.0489734
+0.0471994
+0.0454618
+0.0437648
+0.0421135
+0.0405117
+0.0389641
+0.0374806
+0.0360693
+0.0347327
+0.0334706
+0.0323079
+0.0312557
+0.0303255
+0.0295288
+0.0288767
+0.0283791
+0.0280443
+0.0278781
+0.0278836
+0.0280606
+0.02838
+0.028856
+0.0294874
+0.0302646
+0.0311766
+0.0322121
+0.0333585
+0.0345841
+0.0359008
+0.0372998
+0.0387721
+0.0403098
+0.0419057
+0.0435532
+0.0452445
+0.0469769
+0.0487461
+0.0505484
+0.0523803
+0.0542388
+0.0561213
+0.0580254
+0.0599491
+0.0618906
+0.0637655
+0.0653024
+0.0668758
+0.0684831
+0.070122
+0.0717897
+0.0734564
+0.0750891
+0.0767496
+0.0784362
+0.0801471
+0.0815322
+0.0829502
+0.0844012
+0.0858836
+0.0873957
+0.0889361
+0.0905033
+0.092096
+0.0925428
+0.0929929
+0.0934894
+0.093961
+0.0944623
+0.0949787
+0.0955423
+0.0961525
+0.0968085
+0.0975093
+0.0982539
+0.0990414
+0.099752
+0.100476
+0.101241
+0.102048
+0.102896
+0.103782
+0.0837407
+0.0816761
+0.0796182
+0.0775677
+0.0755235
+0.0734843
+0.0714541
+0.0694337
+0.0674239
+0.0654257
+0.0634403
+0.0614688
+0.0595126
+0.0575674
+0.0556364
+0.0537253
+0.0518363
+0.0499719
+0.0481351
+0.046329
+0.0445575
+0.0428247
+0.0411356
+0.0394942
+0.0379051
+0.0363785
+0.0349226
+0.0335467
+0.0322578
+0.0310498
+0.0299534
+0.0289814
+0.0281467
+0.0274618
+0.0269381
+0.0265851
+0.0264098
+0.0264155
+0.0266023
+0.02695
+0.0274507
+0.0281138
+0.0289279
+0.0298808
+0.0309596
+0.0321517
+0.0334375
+0.034802
+0.0362434
+0.037757
+0.0393344
+0.0409682
+0.042652
+0.0443777
+0.0461426
+0.0479426
+0.049774
+0.0516334
+0.0535179
+0.0554248
+0.0573521
+0.0592976
+0.0612597
+0.0627848
+0.0643452
+0.0659414
+0.0675709
+0.0692314
+0.0708915
+0.0725173
+0.0741706
+0.0757696
+0.0771069
+0.0784825
+0.0798945
+0.081341
+0.0828203
+0.0843304
+0.0858699
+0.0874372
+0.0890308
+0.0906493
+0.0914858
+0.09186
+0.0922848
+0.0927594
+0.0932577
+0.0937817
+0.0943524
+0.0949703
+0.0956344
+0.0963437
+0.0970972
+0.0977974
+0.0984865
+0.0992192
+0.0999946
+0.100812
+0.101669
+0.102559
+0.0832954
+0.0812195
+0.0791498
+0.0770867
+0.0750309
+0.0729814
+0.0709368
+0.0689012
+0.0668754
+0.0648603
+0.062857
+0.0608666
+0.0588904
+0.0569299
+0.0549868
+0.0530528
+0.051139
+0.0492482
+0.0473833
+0.0455475
+0.0437443
+0.0419779
+0.0402533
+0.0385744
+0.0369457
+0.0353777
+0.0338789
+0.0324588
+0.0311283
+0.0298977
+0.0287574
+0.0277436
+0.0268704
+0.0261521
+0.0256016
+0.02523
+0.0250451
+0.0250512
+0.0252481
+0.0256194
+0.0261456
+0.0268409
+0.0276925
+0.0286864
+0.0298085
+0.0310448
+0.0323746
+0.0337824
+0.0352702
+0.0368283
+0.0384481
+0.0401221
+0.0418415
+0.043599
+0.0453942
+0.0472227
+0.049081
+0.0509657
+0.0528739
+0.0548033
+0.0567517
+0.0587171
+0.0603213
+0.0618662
+0.0634492
+0.0650674
+0.0667183
+0.0683604
+0.0699767
+0.0714576
+0.0727422
+0.0740694
+0.0754368
+0.0768423
+0.0782839
+0.0797596
+0.0812676
+0.0828061
+0.0843734
+0.085968
+0.0875883
+0.089233
+0.090289
+0.0906836
+0.0911138
+0.0915945
+0.092089
+0.0926196
+0.0931975
+0.0938229
+0.0944951
+0.0952129
+0.0959007
+0.0965536
+0.0972516
+0.0979936
+0.0987785
+0.0996055
+0.100471
+0.10137
+0.0829057
+0.0808198
+0.0787395
+0.0766654
+0.074598
+0.0725378
+0.0704838
+0.0684347
+0.0663947
+0.0643646
+0.0623453
+0.060338
+0.0583439
+0.0563644
+0.0544011
+0.0524559
+0.0505271
+0.0486125
+0.0467223
+0.0448594
+0.0430273
+0.0412303
+0.0394731
+0.0377594
+0.036094
+0.0344873
+0.032948
+0.031486
+0.0301125
+0.0288401
+0.0276829
+0.0266287
+0.0257177
+0.0249662
+0.024389
+0.0239986
+0.0238042
+0.0238106
+0.0240177
+0.0244131
+0.0249648
+0.0256921
+0.0265805
+0.0276145
+0.0287784
+0.0300571
+0.0314287
+0.032877
+0.034404
+0.0359996
+0.037655
+0.0393628
+0.0411164
+0.0429065
+0.0447295
+0.0465842
+0.0484669
+0.0503746
+0.0523044
+0.0542541
+0.0562214
+0.0579187
+0.0594454
+0.0610125
+0.062617
+0.0642562
+0.0658741
+0.0672261
+0.0684499
+0.069721
+0.071037
+0.0723954
+0.0737939
+0.0752301
+0.076702
+0.0782076
+0.0797449
+0.0813122
+0.0829078
+0.08453
+0.0861774
+0.0878485
+0.0890558
+0.0894613
+0.0899183
+0.0904261
+0.0909569
+0.0914952
+0.0920801
+0.0927132
+0.0933933
+0.0940631
+0.0946781
+0.0953394
+0.0960462
+0.0967974
+0.097592
+0.0984289
+0.0993046
+0.100214
+0.0825723
+0.0804777
+0.0783884
+0.0763047
+0.0742273
+0.0721565
+0.070093
+0.0680356
+0.0659832
+0.06394
+0.0619069
+0.059885
+0.0578753
+0.0558792
+0.0538982
+0.0519341
+0.0499888
+0.0480646
+0.0461558
+0.0442691
+0.0424116
+0.0405873
+0.0388009
+0.0370562
+0.0353577
+0.0337159
+0.0321397
+0.0306391
+0.0292258
+0.0279131
+0.0267158
+0.0256499
+0.0247045
+0.0239212
+0.0233182
+0.0229095
+0.0227058
+0.0227125
+0.0229295
+0.0233444
+0.0239207
+0.0246788
+0.0256024
+0.0266743
+0.0278775
+0.0291957
+0.0306104
+0.0320959
+0.0336583
+0.0352876
+0.036975
+0.0387128
+0.0404945
+0.0423109
+0.0441585
+0.0460362
+0.0479405
+0.0498683
+0.051817
+0.0537843
+0.0555851
+0.05709
+0.0586382
+0.0602264
+0.0618513
+0.0630573
+0.0642402
+0.0654505
+0.0667069
+0.0680107
+0.0693591
+0.0707497
+0.0721801
+0.0736478
+0.0751507
+0.0766867
+0.0782539
+0.0798505
+0.0814747
+0.0831249
+0.0847996
+0.0864973
+0.0878243
+0.0882354
+0.0886987
+0.0892135
+0.0897722
+0.0903357
+0.0909485
+0.0916096
+0.0922929
+0.092868
+0.0934908
+0.0941605
+0.094876
+0.0956364
+0.0964406
+0.0972875
+0.0981732
+0.0990929
+0.0822958
+0.080194
+0.0780971
+0.0760055
+0.0739196
+0.07184
+0.0697671
+0.0677017
+0.0656423
+0.0635882
+0.0615435
+0.0595091
+0.0574863
+0.0554762
+0.0534803
+0.0515003
+0.049538
+0.0475956
+0.0456756
+0.0437806
+0.0419014
+0.0400539
+0.0382426
+0.0364713
+0.0347441
+0.0330719
+0.0314635
+0.029929
+0.0284805
+0.0271317
+0.0258982
+0.0247972
+0.0238186
+0.0230052
+0.0223774
+0.0219512
+0.0217385
+0.0217456
+0.0219721
+0.0224115
+0.0230201
+0.0238068
+0.024763
+0.0258697
+0.0271086
+0.0284624
+0.0299156
+0.0314482
+0.0330413
+0.0346996
+0.0364142
+0.0381775
+0.0399832
+0.0418218
+0.0436901
+0.045587
+0.0475093
+0.0494539
+0.0514183
+0.0533293
+0.0548087
+0.0563344
+0.0579028
+0.0589902
+0.0601087
+0.061263
+0.0624608
+0.0637008
+0.0649911
+0.0663286
+0.0677105
+0.0691343
+0.0705974
+0.0720973
+0.0736318
+0.0751989
+0.0767965
+0.0784228
+0.0800759
+0.0817544
+0.0834566
+0.0851811
+0.0866306
+0.0870474
+0.087517
+0.0880386
+0.0886114
+0.0891965
+0.0898171
+0.0904865
+0.0911273
+0.0917096
+0.0923402
+0.0930182
+0.0937425
+0.094512
+0.0953257
+0.0961818
+0.0970712
+0.0980011
+0.0820769
+0.0799693
+0.0778664
+0.0757684
+0.0736758
+0.0715891
+0.0695088
+0.0674354
+0.0653698
+0.0633102
+0.0612562
+0.059212
+0.0571787
+0.0551574
+0.0531495
+0.0511567
+0.0491807
+0.0472236
+0.0452879
+0.0433765
+0.0414927
+0.0396346
+0.0378032
+0.0360103
+0.0342599
+0.0325628
+0.0309279
+0.0293655
+0.0278877
+0.0265088
+0.0252449
+0.0241141
+0.0231065
+0.0222671
+0.0216179
+0.0211765
+0.0209559
+0.0209632
+0.0211981
+0.0216532
+0.022299
+0.0231103
+0.0240941
+0.0252302
+0.026499
+0.0278825
+0.029363
+0.0309253
+0.0325601
+0.0342419
+0.0359783
+0.037762
+0.0395866
+0.0414428
+0.0433274
+0.0452396
+0.047176
+0.0491338
+0.0511105
+0.0526109
+0.0541019
+0.0550585
+0.0560844
+0.0571759
+0.0582985
+0.0594795
+0.060704
+0.0619792
+0.0633045
+0.0646769
+0.0660934
+0.0675513
+0.0690479
+0.0705808
+0.0721476
+0.0737462
+0.0753746
+0.0770309
+0.0787133
+0.0804202
+0.08215
+0.0839014
+0.0854652
+0.0858985
+0.0863747
+0.0869032
+0.0874767
+0.0880565
+0.0886867
+0.0893662
+0.0899998
+0.0905894
+0.0912278
+0.091914
+0.0926469
+0.0934254
+0.0942479
+0.095105
+0.096004
+0.0968395
+0.081916
+0.0798042
+0.0776968
+0.0755941
+0.0734965
+0.0714046
+0.0693187
+0.0672395
+0.0651676
+0.0631038
+0.0610463
+0.0589948
+0.0569537
+0.0549242
+0.0529075
+0.0509051
+0.0489189
+0.0469509
+0.0450035
+0.0430795
+0.0411821
+0.0393152
+0.0374804
+0.0356723
+0.0339094
+0.0321951
+0.0305404
+0.0289571
+0.0274574
+0.0260557
+0.0247687
+0.0236151
+0.0225853
+0.0217257
+0.0210599
+0.0206065
+0.0203797
+0.0203872
+0.0206287
+0.0210961
+0.0217658
+0.0225963
+0.0236015
+0.0247602
+0.0260519
+0.027455
+0.0289546
+0.0305378
+0.0321923
+0.0339076
+0.0356718
+0.0374653
+0.0392965
+0.0411628
+0.0430597
+0.0449833
+0.0469303
+0.0488979
+0.0504008
+0.0512936
+0.0522097
+0.0532004
+0.0542546
+0.0553486
+0.0565063
+0.0577179
+0.0589763
+0.060288
+0.0616497
+0.0630581
+0.0645102
+0.066003
+0.0675339
+0.0691004
+0.0707
+0.0723307
+0.0739902
+0.0756768
+0.0773886
+0.0791241
+0.0808797
+0.0826282
+0.084308
+0.0847471
+0.0852403
+0.0857867
+0.0863571
+0.0869445
+0.0875826
+0.0882706
+0.0889121
+0.0895088
+0.0901549
+0.0908492
+0.0915906
+0.0923775
+0.0932003
+0.0940664
+0.0948503
+0.0956181
+0.0818093
+0.0796986
+0.0775887
+0.075483
+0.0733823
+0.0712869
+0.0691975
+0.0671146
+0.0650387
+0.0629706
+0.0609111
+0.0588584
+0.0568124
+0.0547776
+0.0527553
+0.050747
+0.0487544
+0.0467794
+0.0448246
+0.0428925
+0.0409865
+0.0391103
+0.0372653
+0.0354463
+0.0336716
+0.0319485
+0.0302859
+0.0286943
+0.0271862
+0.0257762
+0.02448
+0.0233121
+0.0222683
+0.021396
+0.0207195
+0.0202585
+0.0200279
+0.0200355
+0.0202811
+0.0207564
+0.0214367
+0.0222795
+0.0232983
+0.0244714
+0.0257776
+0.0271948
+0.028708
+0.0303041
+0.0319707
+0.0336973
+0.0354749
+0.0372751
+0.0391152
+0.0409897
+0.0428943
+0.044825
+0.0467786
+0.0475898
+0.0484734
+0.049391
+0.0503418
+0.0513527
+0.0524157
+0.0535473
+0.0547429
+0.0559837
+0.0572802
+0.0586299
+0.0600292
+0.0614747
+0.0629633
+0.064492
+0.0660579
+0.0676586
+0.0692915
+0.0709545
+0.0726455
+0.0743626
+0.0761002
+0.0778328
+0.0795879
+0.0813642
+0.0831351
+0.0835583
+0.0840364
+0.0845686
+0.0851539
+0.0857911
+0.0864792
+0.0872162
+0.0878655
+0.0884693
+0.0891229
+0.0898251
+0.0905744
+0.0913609
+0.0921923
+0.0928995
+0.093632
+0.0944096
+0.081747
+0.0796347
+0.0775267
+0.0754235
+0.0733254
+0.0712328
+0.0691456
+0.067061
+0.0649834
+0.0629135
+0.0608521
+0.058799
+0.0567514
+0.0547147
+0.0526904
+0.0506799
+0.0486849
+0.0467074
+0.0447499
+0.0428149
+0.0409057
+0.039026
+0.0371783
+0.0353548
+0.0335752
+0.0318469
+0.0301788
+0.0285812
+0.0270668
+0.0256503
+0.0243487
+0.0231815
+0.0221643
+0.0212878
+0.0206078
+0.0201442
+0.0199122
+0.0199199
+0.0201669
+0.0206448
+0.0213287
+0.0221755
+0.023199
+0.0243768
+0.0256878
+0.0271097
+0.0286274
+0.0302278
+0.0318984
+0.0336287
+0.0354097
+0.0372131
+0.0390561
+0.0409334
+0.0428404
+0.0440611
+0.044811
+0.0456489
+0.0465626
+0.047508
+0.0484752
+0.0495031
+0.0506049
+0.0517761
+0.0530033
+0.0542825
+0.0556187
+0.0570077
+0.0584459
+0.0599296
+0.0614557
+0.0630209
+0.0646225
+0.0662578
+0.0679245
+0.0696201
+0.0713369
+0.073051
+0.07479
+0.0765522
+0.0783361
+0.0801401
+0.0819258
+0.0823552
+0.0828403
+0.0833801
+0.0839737
+0.0846198
+0.0853173
+0.0860649
+0.0868613
+0.0874723
+0.0881333
+0.0888428
+0.0895909
+0.0903649
+0.0910123
+0.0916966
+0.0924255
+0.0932002
+0.0817434
+0.079631
+0.0775229
+0.0754196
+0.0733213
+0.0712287
+0.069142
+0.0670621
+0.0649894
+0.0629247
+0.0608674
+0.05881
+0.0567626
+0.0547263
+0.0527024
+0.0506924
+0.0486979
+0.046721
+0.044764
+0.0428297
+0.0409212
+0.0390424
+0.0371977
+0.0353925
+0.0336217
+0.0318959
+0.0302304
+0.0286358
+0.0271244
+0.025711
+0.0244127
+0.0232487
+0.0222401
+0.0213839
+0.020707
+0.0202457
+0.0200149
+0.0200226
+0.0202684
+0.0207439
+0.0214338
+0.0222875
+0.023306
+0.0244787
+0.0257846
+0.0272014
+0.0287142
+0.03031
+0.0319763
+0.0337027
+0.03548
+0.0372799
+0.0391198
+0.0408105
+0.0413877
+0.0420713
+0.0428561
+0.0437316
+0.0446556
+0.0456266
+0.0466143
+0.0476823
+0.0488252
+0.0500368
+0.0512968
+0.0526176
+0.0539949
+0.0554247
+0.0569029
+0.0584258
+0.0599901
+0.0615926
+0.0632304
+0.0649008
+0.0665931
+0.0682858
+0.0700061
+0.071752
+0.0735218
+0.0753137
+0.0771262
+0.0789578
+0.0807579
+0.0811934
+0.0816854
+0.0822328
+0.0828346
+0.0834895
+0.0841964
+0.0849538
+0.0857599
+0.0865193
+0.0871869
+0.0878945
+0.0885639
+0.0891571
+0.0897998
+0.0904909
+0.0912295
+0.0920143
+0.0817919
+0.0796837
+0.0775801
+0.0754793
+0.0733827
+0.0712919
+0.0692072
+0.0671292
+0.0650587
+0.0629962
+0.0609428
+0.058894
+0.0568551
+0.0548255
+0.0528054
+0.0507994
+0.0488093
+0.0468372
+0.0448853
+0.0429564
+0.0410538
+0.0391813
+0.0373435
+0.0355456
+0.0337942
+0.0320947
+0.0304401
+0.028857
+0.0273579
+0.0259572
+0.0246718
+0.0235206
+0.0225242
+0.0216792
+0.0210119
+0.0205575
+0.0203302
+0.0203377
+0.0205797
+0.0210482
+0.0217285
+0.0225885
+0.023594
+0.0247531
+0.0260452
+0.0274515
+0.0289554
+0.0305425
+0.0322005
+0.0339181
+0.0356848
+0.0374749
+0.0382541
+0.0387776
+0.0393847
+0.0401025
+0.040925
+0.041838
+0.0427757
+0.0437542
+0.0447832
+0.0458938
+0.0470802
+0.0483225
+0.0496258
+0.0509899
+0.0524101
+0.0538819
+0.0554013
+0.0569645
+0.0585679
+0.0602083
+0.0618735
+0.0635409
+0.0652391
+0.066966
+0.0687194
+0.0704972
+0.0722977
+0.0741192
+0.0759602
+0.0778136
+0.0796301
+0.0800717
+0.0805705
+0.0811254
+0.0817353
+0.0823989
+0.083115
+0.0838518
+0.0846361
+0.0854694
+0.0862761
+0.0868199
+0.08737
+0.0879712
+0.0886225
+0.0893227
+0.0900709
+0.0908656
+0.0818917
+0.0797887
+0.077688
+0.0755923
+0.0735022
+0.0714181
+0.0693406
+0.0672677
+0.0652015
+0.0631437
+0.0610952
+0.0590518
+0.0570185
+0.0549974
+0.0529898
+0.0509972
+0.0490185
+0.0470551
+0.0451126
+0.0431939
+0.0413023
+0.0394416
+0.0376165
+0.0358323
+0.0340956
+0.032414
+0.0307964
+0.0292411
+0.0277627
+0.0263836
+0.0251201
+0.0239904
+0.0230143
+0.022188
+0.0215364
+0.0210933
+0.0208718
+0.0208792
+0.021115
+0.0215719
+0.0222361
+0.0230837
+0.0240697
+0.0252069
+0.0264768
+0.0278614
+0.0293443
+0.0309115
+0.0325507
+0.0342516
+0.0354465
+0.0357764
+0.0362359
+0.036763
+0.0374028
+0.0381578
+0.0390214
+0.0399457
+0.0408836
+0.0418985
+0.0429858
+0.0441257
+0.045338
+0.0466217
+0.0479712
+0.0493811
+0.0508462
+0.0523621
+0.0539243
+0.0555291
+0.0571727
+0.0588211
+0.0604933
+0.0621976
+0.0639316
+0.0656929
+0.0674793
+0.0692889
+0.07112
+0.0729563
+0.0748052
+0.0766722
+0.0784037
+0.0788521
+0.0793586
+0.0799219
+0.0805409
+0.0812143
+0.0819407
+0.0827188
+0.0835471
+0.0843986
+0.0851529
+0.0856577
+0.0862152
+0.0868244
+0.0874842
+0.0881935
+0.0889511
+0.0897534
+0.0820411
+0.0799421
+0.0778482
+0.0757598
+0.0736772
+0.0716012
+0.0695303
+0.0674658
+0.0654095
+0.0633621
+0.0613248
+0.0592901
+0.0572653
+0.0552532
+0.0532552
+0.051273
+0.0493084
+0.0473636
+0.0454412
+0.0435405
+0.0416646
+0.0398209
+0.0380139
+0.0362494
+0.0345337
+0.0328744
+0.0312807
+0.0297625
+0.028313
+0.0269629
+0.0257288
+0.024628
+0.0236793
+0.0228959
+0.0222651
+0.0218367
+0.0216229
+0.02163
+0.0218577
+0.0222993
+0.0229425
+0.0237649
+0.0247271
+0.0258391
+0.0270794
+0.0284346
+0.0298891
+0.0314291
+0.0330427
+0.0331937
+0.0334023
+0.0337522
+0.034221
+0.0347696
+0.0354454
+0.0362413
+0.0371494
+0.0380411
+0.0390179
+0.040072
+0.0411866
+0.0423698
+0.0436309
+0.0449634
+0.0463612
+0.0478185
+0.0493301
+0.0508911
+0.0524972
+0.0541314
+0.0557738
+0.0574511
+0.0591619
+0.0609035
+0.0626733
+0.064469
+0.0662863
+0.068105
+0.0699449
+0.0718046
+0.0736824
+0.0755771
+0.0772199
+0.0776752
+0.0781893
+0.078761
+0.079389
+0.0800721
+0.0808088
+0.0815976
+0.0824372
+0.0833259
+0.084022
+0.0845363
+0.0851011
+0.0857182
+0.0863865
+0.0871019
+0.087861
+0.0886677
+0.0822486
+0.0801551
+0.0780669
+0.0759844
+0.0739082
+0.0718389
+0.0697769
+0.067723
+0.0656779
+0.0636426
+0.0616171
+0.0596006
+0.0575944
+0.0555943
+0.053609
+0.0516403
+0.0496902
+0.047761
+0.0458553
+0.0439761
+0.042127
+0.0403122
+0.0385321
+0.0367924
+0.0351032
+0.0334722
+0.0319083
+0.0304215
+0.0290049
+0.0276886
+0.0264883
+0.0254205
+0.0245024
+0.0237515
+0.0231786
+0.0227674
+0.0225624
+0.0225692
+0.0227875
+0.0232115
+0.0238301
+0.0246228
+0.0255527
+0.0266308
+0.0278398
+0.0291615
+0.0305815
+0.0311219
+0.0310632
+0.0311558
+0.031378
+0.0317502
+0.0322193
+0.0328015
+0.033517
+0.0343575
+0.0352417
+0.0361664
+0.037179
+0.0382727
+0.0394215
+0.0406561
+0.0419687
+0.0433523
+0.0448004
+0.0463069
+0.0478663
+0.0494735
+0.0510822
+0.0527305
+0.0544152
+0.0561331
+0.0578829
+0.0596619
+0.0614551
+0.0632609
+0.0650903
+0.0669414
+0.0688125
+0.070702
+0.0726083
+0.0745303
+0.0760632
+0.0765267
+0.0770483
+0.0776284
+0.0782654
+0.0789582
+0.0797051
+0.0805047
+0.0813555
+0.0822559
+0.082914
+0.0834351
+0.0840101
+0.0846349
+0.0853035
+0.0860227
+0.0867912
+0.0876078
+0.0824835
+0.0804168
+0.0783462
+0.0762714
+0.0742032
+0.0721423
+0.0700893
+0.0680448
+0.0660097
+0.0639849
+0.0619714
+0.0599703
+0.0579829
+0.0560107
+0.0540493
+0.0520972
+0.0501649
+0.0482547
+0.0463692
+0.0445118
+0.0426859
+0.0408959
+0.0391466
+0.0374439
+0.0357942
+0.0342001
+0.0326711
+0.0312206
+0.029842
+0.0285643
+0.0274024
+0.0263716
+0.0254878
+0.0247668
+0.0242231
+0.02385
+0.0236544
+0.0236609
+0.0238692
+0.0242743
+0.0248665
+0.0256328
+0.026534
+0.0275737
+0.0287431
+0.0296183
+0.0293252
+0.0291039
+0.0290411
+0.02914
+0.0293775
+0.0297594
+0.0302438
+0.0308633
+0.0316227
+0.0324966
+0.0333536
+0.0343219
+0.0353628
+0.0364979
+0.0377011
+0.0389902
+0.040357
+0.0417941
+0.0432943
+0.0448514
+0.0464312
+0.0480393
+0.0496919
+0.0513848
+0.0531122
+0.0548709
+0.0566354
+0.0584259
+0.0602428
+0.0620839
+0.063947
+0.0658303
+0.0677321
+0.0696508
+0.0715852
+0.0735339
+0.0749015
+0.0754201
+0.0759509
+0.0765392
+0.0771853
+0.0778876
+0.0786447
+0.079455
+0.0803169
+0.0812288
+0.0818496
+0.0823774
+0.0829567
+0.0835813
+0.0842583
+0.0849863
+0.0857641
+0.0865836
+0.08266
+0.0805979
+0.0785427
+0.0764951
+0.0744556
+0.0724249
+0.0704039
+0.0683933
+0.066394
+0.0644
+0.0623998
+0.0604129
+0.0584406
+0.0564843
+0.0545459
+0.0526273
+0.0507298
+0.0488417
+0.0469798
+0.0451475
+0.0433484
+0.0415869
+0.039868
+0.0381974
+0.0365818
+0.0350287
+0.0335468
+0.032146
+0.0308124
+0.0295766
+0.028456
+0.0274648
+0.0266174
+0.0259278
+0.0254089
+0.0250641
+0.024878
+0.0248841
+0.0250823
+0.0254681
+0.0260332
+0.0267661
+0.0276529
+0.028635
+0.028066
+0.027612
+0.027298
+0.0271127
+0.0270453
+0.0271514
+0.0273901
+0.0277484
+0.0282724
+0.0289531
+0.0297417
+0.0305959
+0.0315046
+0.0324862
+0.0335757
+0.0347693
+0.0360318
+0.0373785
+0.0388021
+0.0402947
+0.0418367
+0.0433939
+0.0450039
+0.0466612
+0.048361
+0.0500917
+0.0518305
+0.0536024
+0.0554043
+0.0572333
+0.0590869
+0.0609629
+0.0628593
+0.0647742
+0.0667061
+0.0686535
+0.0706152
+0.07259
+0.0737642
+0.0742907
+0.0748777
+0.075498
+0.0761529
+0.0768646
+0.0776317
+0.0784525
+0.0793164
+0.0800858
+0.0807728
+0.0813619
+0.0819401
+0.0825724
+0.0832548
+0.0839607
+0.0847173
+0.0855233
+0.0828938
+0.0808379
+0.078789
+0.0767479
+0.0747153
+0.072692
+0.0706785
+0.068676
+0.0666852
+0.0647074
+0.0627437
+0.0607956
+0.0588644
+0.0569521
+0.0550606
+0.053192
+0.0513468
+0.0494981
+0.047676
+0.0458744
+0.0441081
+0.0423801
+0.0406947
+0.0390595
+0.037481
+0.0359667
+0.0345251
+0.0331656
+0.0318865
+0.030694
+0.0296157
+0.0286646
+0.0278537
+0.0271955
+0.0267013
+0.0263803
+0.0262278
+0.0262336
+0.0264217
+0.0267882
+0.0273259
+0.0280251
+0.0274494
+0.026719
+0.0261083
+0.0256213
+0.0252934
+0.0251458
+0.025082
+0.0251381
+0.0253593
+0.0257424
+0.0263029
+0.0270095
+0.0278353
+0.0287365
+0.0296543
+0.030688
+0.0318391
+0.0330953
+0.034421
+0.0358282
+0.0373111
+0.0388108
+0.0403658
+0.0419776
+0.0436399
+0.0453344
+0.0470449
+0.0487939
+0.0505773
+0.0523917
+0.0542338
+0.056101
+0.0579908
+0.0599011
+0.06183
+0.0637758
+0.0657371
+0.0677124
+0.0696698
+0.071551
+0.0725733
+0.0731084
+0.0737048
+0.0743609
+0.0750753
+0.0758261
+0.0765914
+0.0774038
+0.0782189
+0.0789638
+0.0796604
+0.0803125
+0.0809123
+0.0815254
+0.0821854
+0.0828981
+0.0836621
+0.0844759
+0.0831747
+0.0811281
+0.0790893
+0.0770588
+0.075037
+0.0730237
+0.0710197
+0.0690271
+0.0670467
+0.0650799
+0.0631278
+0.0611919
+0.0592737
+0.057375
+0.0554979
+0.0536445
+0.0518175
+0.050018
+0.0482471
+0.0465119
+0.0448166
+0.043166
+0.0415653
+0.0399911
+0.0384628
+0.0369955
+0.0355964
+0.0342803
+0.0330571
+0.0319155
+0.0308799
+0.0299689
+0.0291942
+0.0285669
+0.0280969
+0.027792
+0.0276578
+0.0276871
+0.0278654
+0.0282132
+0.0276151
+0.0265472
+0.0256225
+0.0248485
+0.0241907
+0.0236642
+0.0233087
+0.0231559
+0.0230519
+0.0231
+0.0233405
+0.0237562
+0.0243582
+0.0250993
+0.0259738
+0.0268812
+0.0278456
+0.028944
+0.0301617
+0.0314849
+0.0328773
+0.034315
+0.0357973
+0.0373493
+0.0389627
+0.0406105
+0.0422852
+0.0440053
+0.0457656
+0.0475617
+0.0493896
+0.051246
+0.0531278
+0.0550325
+0.0569578
+0.0589017
+0.0608623
+0.062824
+0.0647782
+0.066671
+0.0685533
+0.0704534
+0.0714022
+0.0719458
+0.0725514
+0.0732177
+0.0739342
+0.0746546
+0.0754318
+0.076264
+0.0771495
+0.0778873
+0.0785934
+0.0792311
+0.0798247
+0.0804485
+0.0811173
+0.0818393
+0.082613
+0.0834371
+0.0835112
+0.0814731
+0.0794431
+0.0774218
+0.0754101
+0.0734085
+0.0714177
+0.0694365
+0.0674683
+0.0655142
+0.0635755
+0.0616537
+0.0597504
+0.0578675
+0.0560069
+0.054171
+0.0523594
+0.0505756
+0.0488249
+0.047111
+0.0454381
+0.0438109
+0.0422346
+0.0407153
+0.0392594
+0.0378744
+0.0365682
+0.0353496
+0.0342279
+0.0332041
+0.0322418
+0.0313721
+0.030633
+0.0300357
+0.029589
+0.0292997
+0.0291724
+0.0292094
+0.0284381
+0.0271324
+0.0259307
+0.0248469
+0.0238569
+0.0230268
+0.0223233
+0.0217517
+0.0213644
+0.0211705
+0.0210391
+0.0210925
+0.0213556
+0.0218091
+0.0224423
+0.0232243
+0.0241566
+0.0250639
+0.0260955
+0.0272645
+0.0285539
+0.0299458
+0.0313286
+0.0327995
+0.0343473
+0.0359335
+0.0375613
+0.0392438
+0.0409744
+0.0427473
+0.0445573
+0.0464001
+0.0482721
+0.0501698
+0.0520906
+0.0540319
+0.0559916
+0.0579343
+0.0598877
+0.0617939
+0.0636696
+0.0655649
+0.0674781
+0.0694076
+0.070239
+0.0707989
+0.0714145
+0.0720915
+0.0727982
+0.0735297
+0.0743187
+0.0751632
+0.0760615
+0.0768581
+0.0775736
+0.0781552
+0.078757
+0.0794147
+0.0800949
+0.080826
+0.0816093
+0.0822651
+0.0839036
+0.0818752
+0.0798533
+0.0778402
+0.0758369
+0.0738443
+0.0718632
+0.0698947
+0.0679397
+0.0659996
+0.0640756
+0.0621692
+0.0602822
+0.0584164
+0.0565739
+0.0547571
+0.0529685
+0.0512112
+0.0494884
+0.0478031
+0.0461552
+0.0445542
+0.0430053
+0.0415141
+0.0400873
+0.0387319
+0.0374556
+0.0362652
+0.035164
+0.0341679
+0.0332864
+0.0325288
+0.0319039
+0.0314197
+0.0310826
+0.0308856
+0.029979
+0.0284235
+0.0269425
+0.0255636
+0.0243043
+0.0231419
+0.0221121
+0.0212231
+0.02052
+0.0198938
+0.0194515
+0.0191818
+0.0190639
+0.0191252
+0.019415
+0.0199064
+0.0205447
+0.0213551
+0.022309
+0.0233108
+0.0244166
+0.0256579
+0.0269933
+0.0283661
+0.0298223
+0.0313243
+0.0328884
+0.0345207
+0.036212
+0.0379544
+0.0397412
+0.0415667
+0.043426
+0.0453148
+0.0472298
+0.0491678
+0.0511114
+0.0530461
+0.0549986
+0.0569205
+0.0587884
+0.060678
+0.0625872
+0.0645143
+0.0664572
+0.0684086
+0.0691251
+0.0696934
+0.0703191
+0.0710067
+0.0717008
+0.0724435
+0.0732441
+0.0740884
+0.0749872
+0.0758782
+0.0765662
+0.0771181
+0.0777279
+0.0783942
+0.079111
+0.0797817
+0.0803883
+0.0810417
+0.0832115
+0.0822131
+0.0803117
+0.0783104
+0.0763195
+0.0743399
+0.0723723
+0.070418
+0.068478
+0.0665536
+0.0646461
+0.062757
+0.0608882
+0.0590416
+0.0572192
+0.0554235
+0.0536572
+0.0519232
+0.0502249
+0.048566
+0.0469508
+0.0453838
+0.0438704
+0.0424112
+0.0410155
+0.0396858
+0.0384332
+0.0372674
+0.0361967
+0.0352298
+0.0343756
+0.0336425
+0.0330387
+0.0325713
+0.032165
+0.0304093
+0.0287135
+0.0270887
+0.0255473
+0.0240888
+0.022748
+0.021525
+0.0204191
+0.0194708
+0.0186943
+0.0180106
+0.0175208
+0.0172084
+0.0171043
+0.017212
+0.017465
+0.0179156
+0.0186127
+0.0194704
+0.0204989
+0.0215249
+0.0226953
+0.0239956
+0.0254184
+0.0268179
+0.028292
+0.0298542
+0.0314913
+0.0331924
+0.0349481
+0.0367505
+0.038593
+0.0404703
+0.0423777
+0.0443113
+0.0462285
+0.04816
+0.0501114
+0.0520517
+0.0539104
+0.0557931
+0.0576976
+0.0596217
+0.0615636
+0.0635143
+0.0654801
+0.0674597
+0.0680564
+0.0686276
+0.0692547
+0.0699393
+0.0706386
+0.0713793
+0.072179
+0.0730356
+0.0739472
+0.0749118
+0.0755477
+0.076107
+0.0767221
+0.0773371
+0.0780087
+0.0785862
+0.0791966
+0.0798597
+0.0820532
+0.0810482
+0.0800828
+0.0788362
+0.07686
+0.0748957
+0.0729437
+0.0710051
+0.0690816
+0.0671744
+0.0652851
+0.0634151
+0.0615663
+0.0597406
+0.0579402
+0.0561663
+0.0544227
+0.0527125
+0.0510391
+0.0494061
+0.0478178
+0.0462786
+0.0447938
+0.0433688
+0.0420048
+0.0407108
+0.0394959
+0.0383641
+0.0373249
+0.036388
+0.0355616
+0.0348535
+0.034271
+0.032966
+0.0311306
+0.0293266
+0.0275643
+0.0258674
+0.0242499
+0.0227286
+0.0213035
+0.0200014
+0.0188226
+0.0177838
+0.0169033
+0.0162049
+0.0156433
+0.0152744
+0.0151575
+0.0152135
+0.0154611
+0.015966
+0.0167152
+0.0176362
+0.0186483
+0.0197706
+0.021027
+0.0224242
+0.0238163
+0.0252756
+0.0268345
+0.0284768
+0.0301888
+0.0319592
+0.033779
+0.0356406
+0.0375377
+0.0394492
+0.0413492
+0.0432767
+0.0452266
+0.0471892
+0.0490364
+0.0509108
+0.0528096
+0.0547302
+0.0566704
+0.0586206
+0.0605867
+0.0625678
+0.0645624
+0.0664559
+0.0669682
+0.0675476
+0.0681839
+0.0688791
+0.0695939
+0.0703457
+0.0711571
+0.0720259
+0.0729502
+0.0739279
+0.0744771
+0.0749826
+0.0755482
+0.0761726
+0.0768545
+0.0774315
+0.0780481
+0.0787209
+0.0809357
+0.0799202
+0.0789472
+0.0780173
+0.0771385
+0.0754623
+0.073526
+0.0716043
+0.0696984
+0.0678098
+0.0659399
+0.0640903
+0.0622628
+0.0604595
+0.0586826
+0.0569343
+0.0552164
+0.053532
+0.0518799
+0.0502682
+0.0487018
+0.0471852
+0.0457232
+0.0443213
+0.0429854
+0.0417218
+0.0405373
+0.039439
+0.0384325
+0.0375233
+0.0367224
+0.0358836
+0.0339516
+0.0320492
+0.030178
+0.0283251
+0.0265114
+0.0247587
+0.023067
+0.021462
+0.0199574
+0.0185516
+0.0172742
+0.0161433
+0.0152003
+0.0143856
+0.013772
+0.0134118
+0.0132865
+0.0132455
+0.0135125
+0.0140727
+0.0148621
+0.0158217
+0.0168747
+0.0181004
+0.0194549
+0.020843
+0.0222816
+0.023835
+0.0254823
+0.0272063
+0.0289934
+0.0308326
+0.0327151
+0.0345848
+0.0364751
+0.0383973
+0.0403451
+0.0423127
+0.0441678
+0.046032
+0.0479238
+0.0498401
+0.0517782
+0.0537278
+0.0556943
+0.057677
+0.0596743
+0.0616847
+0.0636685
+0.0654121
+0.0659324
+0.0665209
+0.0671675
+0.0678731
+0.0685984
+0.069361
+0.0701837
+0.0710644
+0.0720011
+0.0728748
+0.0733259
+0.0738392
+0.0744135
+0.0750474
+0.0757394
+0.0763193
+0.0769324
+0.0776017
+0.0798628
+0.0788334
+0.077852
+0.0769136
+0.076022
+0.0751837
+0.0741678
+0.0722632
+0.0703752
+0.0685053
+0.0666549
+0.0648257
+0.0630195
+0.0612385
+0.0594848
+0.0577575
+0.0560581
+0.0543938
+0.052768
+0.0511843
+0.0496469
+0.04816
+0.0467285
+0.0453577
+0.0440532
+0.0428212
+0.0416679
+0.0405991
+0.0396186
+0.0387373
+0.0371188
+0.035144
+0.0331787
+0.0312176
+0.0292882
+0.0273982
+0.0255561
+0.0237451
+0.0219708
+0.0202782
+0.0186893
+0.0171912
+0.0158276
+0.014626
+0.0135189
+0.0126156
+0.0119348
+0.0115549
+0.0113579
+0.0113505
+0.0116503
+0.012241
+0.0130976
+0.0140473
+0.0151999
+0.0165284
+0.0179081
+0.0193205
+0.0208644
+0.0225158
+0.0242528
+0.0260583
+0.0279007
+0.0297317
+0.0316086
+0.0335235
+0.0354683
+0.0374359
+0.0393067
+0.0411579
+0.043041
+0.0449519
+0.0468873
+0.0488361
+0.0508031
+0.0527877
+0.054788
+0.0568024
+0.0587983
+0.0607409
+0.0626789
+0.0644258
+0.0649541
+0.0655514
+0.066208
+0.0669237
+0.0676592
+0.0684323
+0.069266
+0.0701326
+0.0710293
+0.0717648
+0.0722228
+0.0727439
+0.0733268
+0.07397
+0.0746659
+0.0752278
+0.0758489
+0.0765277
+0.0788264
+0.0777837
+0.0767893
+0.0758381
+0.074938
+0.0740916
+0.073298
+0.0725606
+0.0711131
+0.069263
+0.0674334
+0.0656259
+0.0638388
+0.0620754
+0.0603401
+0.0586352
+0.0569635
+0.0553281
+0.0537308
+0.0521764
+0.050669
+0.049213
+0.0478131
+0.0464743
+0.0452021
+0.0439986
+0.0428721
+0.0418302
+0.0405449
+0.0384966
+0.0364648
+0.0344525
+0.0324483
+0.0304418
+0.0284599
+0.0265109
+0.0246025
+0.0227451
+0.0209373
+0.0191563
+0.0174681
+0.0158634
+0.014368
+0.0130324
+0.0119069
+0.0109551
+0.0102008
+0.00963106
+0.00938098
+0.00949962
+0.00986539
+0.0104575
+0.0112578
+0.012349
+0.0136693
+0.0149764
+0.0164059
+0.0179369
+0.0195902
+0.0213389
+0.0230976
+0.0248964
+0.0267537
+0.0286581
+0.0305985
+0.0325655
+0.0344562
+0.0362903
+0.0381621
+0.0400661
+0.0419982
+0.0439459
+0.0459134
+0.0479002
+0.0499041
+0.0519231
+0.0539332
+0.0558732
+0.057809
+0.0597264
+0.0616247
+0.0634999
+0.0640358
+0.0646416
+0.0653079
+0.0659937
+0.0667264
+0.0675223
+0.0683526
+0.069203
+0.0701116
+0.0707052
+0.07117
+0.0716988
+0.0722901
+0.0729425
+0.0736143
+0.0741842
+0.0748139
+0.0754971
+0.0778358
+0.0767796
+0.0757721
+0.074808
+0.0738952
+0.0730368
+0.0722317
+0.0714832
+0.0707947
+0.0700669
+0.0682535
+0.0664628
+0.0646968
+0.0629574
+0.0612471
+0.0595682
+0.0579234
+0.0563159
+0.0547489
+0.0532259
+0.0517508
+0.0503279
+0.0489617
+0.0476514
+0.046407
+0.0452344
+0.0441396
+0.0421211
+0.0400382
+0.0379675
+0.0359111
+0.0338664
+0.0318245
+0.0297842
+0.0277668
+0.0257775
+0.0238128
+0.0218885
+0.0200189
+0.0181841
+0.0163967
+0.0146921
+0.0130893
+0.0116348
+0.0103787
+0.00929013
+0.00846198
+0.00781859
+0.00749889
+0.00760764
+0.00805885
+0.00859545
+0.00950994
+0.0107339
+0.0120804
+0.0134769
+0.0150013
+0.0166197
+0.0183451
+0.0200917
+0.0219183
+0.0238064
+0.0257396
+0.0277052
+0.0296216
+0.0314324
+0.033289
+0.035184
+0.0371115
+0.0390579
+0.0410258
+0.0430152
+0.0450234
+0.0470478
+0.0490748
+0.0510114
+0.0529546
+0.05489
+0.0567864
+0.0586981
+0.0606286
+0.0625763
+0.0631801
+0.063794
+0.0644263
+0.0651046
+0.0658488
+0.0666562
+0.0674667
+0.0683281
+0.0692481
+0.069697
+0.0701685
+0.0707047
+0.0713043
+0.0719621
+0.0726069
+0.0731846
+0.0738147
+0.0744995
+0.0768948
+0.0758255
+0.0748052
+0.0738285
+0.0729035
+0.0720332
+0.0712167
+0.0704575
+0.0697589
+0.0691226
+0.0685504
+0.0673586
+0.0656167
+0.0639024
+0.062218
+0.060566
+0.0589492
+0.0573704
+0.055833
+0.0543404
+0.0528964
+0.0515051
+0.050171
+0.0488931
+0.0476811
+0.0459661
+0.043847
+0.0417353
+0.0396322
+0.0375391
+0.0354577
+0.0333904
+0.0313399
+0.0292678
+0.0272121
+0.0251793
+0.0231752
+0.0212073
+0.0192711
+0.0173812
+0.0154813
+0.0136687
+0.0119504
+0.0103862
+0.00896364
+0.00773935
+0.00681214
+0.00615642
+0.00571238
+0.00574488
+0.00613716
+0.00681558
+0.00788723
+0.00919672
+0.0105572
+0.0120445
+0.013662
+0.0153465
+0.0171188
+0.0189786
+0.0208991
+0.0228611
+0.0247522
+0.0265894
+0.0284246
+0.0303071
+0.0322285
+0.0341729
+0.0361412
+0.0381338
+0.040147
+0.0421779
+0.044224
+0.0461573
+0.0481092
+0.0500402
+0.0519594
+0.0538642
+0.05579
+0.0577347
+0.0596964
+0.0616735
+0.0623897
+0.0629604
+0.0635789
+0.0642662
+0.0650201
+0.0658265
+0.0666371
+0.0675091
+0.068328
+0.0687391
+0.0692172
+0.0697607
+0.0703683
+0.0710348
+0.071649
+0.0722261
+0.0728601
+0.0735538
+0.0759568
+0.0749234
+0.0738906
+0.0729016
+0.0719647
+0.071083
+0.0702555
+0.0694857
+0.0687772
+0.0681318
+0.0675512
+0.0670373
+0.0663718
+0.0646729
+0.0630044
+0.0613686
+0.0597685
+0.0582068
+0.0566867
+0.0552118
+0.0537856
+0.0524123
+0.0510959
+0.0498412
+0.0478544
+0.0457179
+0.0435867
+0.0414618
+0.039344
+0.0372348
+0.0351354
+0.0330479
+0.0309747
+0.0288871
+0.0268089
+0.0247502
+0.0227162
+0.0206745
+0.0186608
+0.0166917
+0.0147851
+0.0128816
+0.0110373
+0.00927778
+0.00768373
+0.0063112
+0.00521851
+0.00445843
+0.00397893
+0.00392647
+0.00431619
+0.00516157
+0.00631404
+0.00772881
+0.00913914
+0.0107399
+0.012397
+0.0141995
+0.0160939
+0.0180255
+0.0199316
+0.0217489
+0.0235744
+0.0254385
+0.027351
+0.0292924
+0.031261
+0.0332573
+0.0352767
+0.0373155
+0.0393706
+0.0413138
+0.043265
+0.0451972
+0.0471171
+0.0490432
+0.0509628
+0.0529035
+0.054863
+0.0568394
+0.0588309
+0.0608134
+0.0615601
+0.0621153
+0.0627422
+0.0634385
+0.0642021
+0.0650057
+0.0658264
+0.066709
+0.067422
+0.0678385
+0.0683229
+0.0688735
+0.0694889
+0.0701637
+0.0707376
+0.0713175
+0.0719594
+0.0726618
+0.0749826
+0.073961
+0.0729812
+0.0720295
+0.0710811
+0.0701883
+0.0693501
+0.0685702
+0.0678521
+0.0671978
+0.0666091
+0.0660878
+0.0656356
+0.0652538
+0.0638083
+0.0621938
+0.0606154
+0.0590761
+0.057579
+0.0561275
+0.0547252
+0.053376
+0.0520147
+0.0498639
+0.0477168
+0.0455738
+0.0434356
+0.0413028
+0.0391765
+0.0370577
+0.0349477
+0.0328483
+0.0307366
+0.0286261
+0.0265275
+0.0244451
+0.0223464
+0.0202621
+0.0182026
+0.0161777
+0.0142012
+0.012223
+0.010331
+0.00848969
+0.00666925
+0.00510347
+0.00382375
+0.00289959
+0.00235007
+0.00214609
+0.00261302
+0.00348871
+0.00476814
+0.00629742
+0.00788119
+0.00954212
+0.0113629
+0.013205
+0.0151323
+0.0169236
+0.0187493
+0.0205841
+0.0224826
+0.0244191
+0.0263875
+0.0283884
+0.0304156
+0.0324639
+0.0345298
+0.036485
+0.0384316
+0.04033
+0.0422481
+0.0441867
+0.0461292
+0.0480851
+0.0500422
+0.0520173
+0.0539842
+0.0559581
+0.0579476
+0.0599512
+0.0607543
+0.0613169
+0.0619518
+0.062657
+0.0634217
+0.0641951
+0.065026
+0.0659193
+0.0665757
+0.0669975
+0.0674879
+0.0680453
+0.0686681
+0.0693509
+0.0698784
+0.0704653
+0.0711149
+0.0718255
+0.0740494
+0.0730148
+0.0720266
+0.0710826
+0.070183
+0.0693411
+0.0685028
+0.0677132
+0.0669859
+0.066323
+0.0657265
+0.0651982
+0.0647397
+0.0643526
+0.0640361
+0.0630842
+0.0615286
+0.0600128
+0.0585312
+0.057062
+0.0556332
+0.0541342
+0.0519789
+0.0498266
+0.0476779
+0.0455331
+0.0433929
+0.041258
+0.0391079
+0.0369613
+0.0348203
+0.0326859
+0.0305594
+0.0284427
+0.026338
+0.0242418
+0.0221378
+0.0200313
+0.0179392
+0.0158706
+0.0138044
+0.0117751
+0.00981215
+0.00795
+0.00599887
+0.00419121
+0.00269462
+0.00156052
+0.000797856
+0.000442834
+0.000898544
+0.00193355
+0.00341461
+0.00503386
+0.00672856
+0.00846599
+0.0103555
+0.0121568
+0.0139549
+0.015757
+0.017631
+0.0195584
+0.0215254
+0.0235319
+0.0255687
+0.027629
+0.0296854
+0.0316393
+0.0335742
+0.0354688
+0.0373848
+0.0393212
+0.0412663
+0.0432202
+0.0451959
+0.0471838
+0.0491379
+0.0511112
+0.0531015
+0.0551071
+0.0571262
+0.0591576
+0.0600178
+0.0605872
+0.0612297
+0.0619346
+0.0626721
+0.0634498
+0.0642904
+0.0651938
+0.0657915
+0.0662183
+0.0667144
+0.0672782
+0.067908
+0.0685491
+0.0690779
+0.0696716
+0.0703285
+0.071047
+0.0731699
+0.0721227
+0.071122
+0.0701731
+0.0692643
+0.068411
+0.0676179
+0.0668872
+0.0661809
+0.0655099
+0.0649059
+0.0643708
+0.0639064
+0.0635142
+0.0631936
+0.0629348
+0.0623988
+0.0608596
+0.0593607
+0.0579058
+0.0563295
+0.0541729
+0.0520192
+0.0498656
+0.0477002
+0.0455371
+0.0433768
+0.0412198
+0.0390664
+0.0369175
+0.0347738
+0.0326363
+0.0305064
+0.0283857
+0.0262765
+0.0241342
+0.0219927
+0.0198619
+0.0177457
+0.01565
+0.0135502
+0.011476
+0.00945114
+0.00749988
+0.00561441
+0.00364942
+0.00189759
+0.000499552
+-0.000511404
+-0.00107688
+-0.00050138
+0.000631189
+0.00224162
+0.00391842
+0.00568512
+0.00753339
+0.00921506
+0.0109934
+0.0128151
+0.0147229
+0.0166846
+0.0186973
+0.020746
+0.0228206
+0.0248625
+0.0267656
+0.0287007
+0.0306195
+0.0325263
+0.034465
+0.036413
+0.0383639
+0.0403394
+0.0423361
+0.0443031
+0.0462751
+0.048266
+0.0502735
+0.0522958
+0.0543311
+0.0563631
+0.0583933
+0.059353
+0.0599287
+0.0605695
+0.0612451
+0.0619794
+0.0627632
+0.0636129
+0.0645258
+0.0650716
+0.0655031
+0.0660046
+0.0665744
+0.0672108
+0.0678038
+0.0683383
+0.0689384
+0.0696022
+0.0703258
+0.0723461
+0.0712867
+0.070274
+0.0693135
+0.0683934
+0.0675291
+0.0667256
+0.065985
+0.0653095
+0.0647012
+0.0641496
+0.0636082
+0.0631382
+0.0627412
+0.0624165
+0.0621401
+0.0619395
+0.0617276
+0.0602504
+0.0585334
+0.0563701
+0.0542091
+0.0520506
+0.0498948
+0.0477422
+0.0455933
+0.0434485
+0.0412968
+0.0391477
+0.0370035
+0.0348651
+0.0327336
+0.0306104
+0.0284862
+0.0263341
+0.024187
+0.0220381
+0.0198983
+0.0177709
+0.0156609
+0.0135613
+0.01147
+0.00940446
+0.00733602
+0.00536183
+0.00341722
+0.00152788
+-0.000291213
+-0.00160746
+-0.00232342
+-0.00170421
+-0.000521911
+0.000904099
+0.00270292
+0.0045993
+0.00642201
+0.00809886
+0.00994909
+0.0118912
+0.0139074
+0.0159669
+0.0179717
+0.0199793
+0.0218996
+0.0238361
+0.0257611
+0.0276816
+0.0296155
+0.0315693
+0.0335198
+0.0354945
+0.0374932
+0.039484
+0.0414537
+0.0434446
+0.0454539
+0.0474793
+0.0495187
+0.0515632
+0.053596
+0.0556397
+0.0575385
+0.0587624
+0.059335
+0.0599445
+0.0606271
+0.0613535
+0.0621453
+0.0630033
+0.0639249
+0.0644182
+0.0648541
+0.0653605
+0.0659359
+0.0665784
+0.0671216
+0.0676616
+0.0682676
+0.0689356
+0.0696551
+0.0715798
+0.070509
+0.0694848
+0.0685132
+0.0675824
+0.0667076
+0.065894
+0.065144
+0.0644597
+0.0638433
+0.0632967
+0.0628129
+0.0623964
+0.0620315
+0.061678
+0.0613977
+0.0611946
+0.0610695
+0.0607384
+0.0585747
+0.056413
+0.0542537
+0.052097
+0.0499432
+0.0477928
+0.0456462
+0.0435041
+0.041367
+0.0392358
+0.0371116
+0.0349955
+0.0328893
+0.0307767
+0.0286532
+0.0265043
+0.0243628
+0.0222308
+0.0201115
+0.0179978
+0.015888
+0.0137896
+0.0117062
+0.00960056
+0.00751564
+0.00549336
+0.0035169
+0.00158758
+-0.000187523
+-0.00202225
+-0.00324053
+-0.00285552
+-0.00172902
+-0.000299148
+0.00170641
+0.00351295
+0.00540345
+0.00724
+0.00915052
+0.0110879
+0.0130858
+0.0151058
+0.0170523
+0.0189801
+0.0209084
+0.0228487
+0.0247823
+0.0267305
+0.0286942
+0.0306667
+0.032667
+0.0346774
+0.0366528
+0.0386427
+0.0406532
+0.0426815
+0.0447251
+0.046782
+0.0488189
+0.0508509
+0.0528832
+0.0548585
+0.0565851
+0.0582392
+0.0587785
+0.0593937
+0.0600707
+0.0608002
+0.0615991
+0.0624646
+0.0633428
+0.0638329
+0.0642732
+0.0647842
+0.0653646
+0.0660127
+0.0665047
+0.0670497
+0.0676587
+0.0683215
+0.0690474
+0.0708669
+0.069785
+0.0687558
+0.0677743
+0.0668333
+0.0659486
+0.0651255
+0.0643665
+0.0636739
+0.0630498
+0.0624963
+0.0620153
+0.0615994
+0.0612531
+0.0609835
+0.0607253
+0.0605199
+0.0603934
+0.0603462
+0.0586976
+0.0565407
+0.0543864
+0.0522352
+0.0500874
+0.0479434
+0.0458039
+0.0436695
+0.0415409
+0.0394191
+0.0372899
+0.0351672
+0.0330533
+0.0309501
+0.0288599
+0.0267858
+0.0247295
+0.0226199
+0.0205058
+0.0183956
+0.0162682
+0.0141602
+0.0120816
+0.0100507
+0.00808084
+0.00608704
+0.00407589
+0.00211651
+0.000209694
+-0.00169494
+-0.00320863
+-0.00362824
+-0.00273161
+-0.00116613
+0.000562854
+0.00243934
+0.00432829
+0.00621655
+0.00821457
+0.0102562
+0.0122124
+0.0141501
+0.0160835
+0.0180107
+0.0199808
+0.0219179
+0.0238983
+0.0258654
+0.0278659
+0.0298651
+0.0318637
+0.0338683
+0.0358789
+0.0379094
+0.0399569
+0.0420095
+0.044066
+0.0460851
+0.0481193
+0.0501666
+0.0522243
+0.0539467
+0.0557016
+0.0574864
+0.0582991
+0.0589193
+0.0595861
+0.0603215
+0.0611266
+0.0619655
+0.0626362
+0.0633038
+0.0637623
+0.0642774
+0.0648624
+0.0654742
+0.0659549
+0.0665018
+0.0671045
+0.0677726
+0.0685043
+0.0702015
+0.0691173
+0.0680782
+0.0670945
+0.0661484
+0.0652543
+0.0644224
+0.063655
+0.0629546
+0.0623233
+0.0617633
+0.0612765
+0.0608648
+0.0605183
+0.0602454
+0.0600513
+0.0599084
+0.0597806
+0.0597329
+0.0589018
+0.0567526
+0.0546067
+0.0524645
+0.0503265
+0.0481932
+0.046065
+0.0439301
+0.0418002
+0.0396768
+0.0375612
+0.0354547
+0.033359
+0.0312763
+0.0292095
+0.0271574
+0.0251272
+0.0230894
+0.0209805
+0.0188902
+0.0168255
+0.0147964
+0.0127218
+0.0106766
+0.0086823
+0.00677941
+0.00474968
+0.00268091
+0.00075935
+-0.00110442
+-0.00294308
+-0.00408018
+-0.00333372
+-0.00204136
+-0.000451458
+0.00139384
+0.0034196
+0.00541197
+0.00735072
+0.009322
+0.011322
+0.0132173
+0.0151759
+0.017154
+0.0191265
+0.0211089
+0.0231059
+0.0250861
+0.0270829
+0.0291077
+0.0311422
+0.0331743
+0.0352095
+0.037261
+0.0393276
+0.0413504
+0.0433853
+0.0454347
+0.0474967
+0.0495042
+0.0513597
+0.0531097
+0.0548914
+0.0567017
+0.0578986
+0.0585109
+0.0591786
+0.059919
+0.0607012
+0.0613213
+0.0619989
+0.0627458
+0.0633231
+0.0638417
+0.0644307
+0.0649894
+0.0654711
+0.0660105
+0.0666177
+0.0672907
+0.0680276
+0.0695887
+0.068499
+0.0674595
+0.0664671
+0.0655184
+0.0646269
+0.0637868
+0.0630117
+0.062304
+0.0616661
+0.0611
+0.060608
+0.0601916
+0.0598412
+0.0595653
+0.0593689
+0.0592529
+0.0592178
+0.0591882
+0.0591865
+0.057048
+0.0549117
+0.0527735
+0.0506399
+0.0485114
+0.0463884
+0.0442691
+0.0421563
+0.0400518
+0.0379543
+0.0358663
+0.0337913
+0.0317319
+0.0296912
+0.0276241
+0.0255567
+0.0235115
+0.0214951
+0.0195163
+0.0174666
+0.0154196
+0.013408
+0.0113732
+0.00938939
+0.00738128
+0.00540856
+0.00336219
+0.0014538
+-0.000358457
+-0.00202013
+-0.00358704
+-0.00343268
+-0.00242678
+-0.00114342
+0.000693463
+0.00259976
+0.00456343
+0.00660293
+0.00854311
+0.0104486
+0.012443
+0.0144389
+0.0164359
+0.0184139
+0.020364
+0.0223533
+0.0243771
+0.0264276
+0.028471
+0.0305037
+0.032557
+0.0346271
+0.0366588
+0.0386923
+0.0407422
+0.042806
+0.0448332
+0.0468311
+0.0488322
+0.0505748
+0.0523511
+0.0541577
+0.0559918
+0.0575609
+0.0581785
+0.05885
+0.0595656
+0.0601178
+0.0607299
+0.061414
+0.0621679
+0.0629567
+0.0634788
+0.064071
+0.0645728
+0.0650459
+0.0655888
+0.0661998
+0.066877
+0.0676184
+0.069035
+0.0679377
+0.0668941
+0.0658959
+0.0649388
+0.0640424
+0.0632092
+0.0624386
+0.0617244
+0.0610804
+0.0605089
+0.060012
+0.0595915
+0.0592375
+0.0589587
+0.0587603
+0.0586432
+0.0586077
+0.0586541
+0.0587534
+0.0573989
+0.0552701
+0.0531464
+0.0510284
+0.0489168
+0.0468077
+0.0447038
+0.0426086
+0.0405236
+0.0384503
+0.0363908
+0.034335
+0.0322513
+0.0301828
+0.0281328
+0.0261056
+0.0241071
+0.022145
+0.020224
+0.0181692
+0.0161419
+0.0141241
+0.0121162
+0.0101329
+0.00815969
+0.00624355
+0.00435491
+0.00254728
+0.000827536
+-0.000875721
+-0.00266749
+-0.00343302
+-0.00244877
+-0.00115142
+0.000378821
+0.00207217
+0.00403815
+0.00597245
+0.00790504
+0.00990116
+0.0118309
+0.0138208
+0.0157501
+0.0177157
+0.0197287
+0.0217706
+0.0238337
+0.0258696
+0.0279199
+0.0299801
+0.032029
+0.0340573
+0.0361045
+0.0381572
+0.0402164
+0.0422054
+0.0442135
+0.0462382
+0.0481017
+0.0498698
+0.0516703
+0.0534999
+0.0553558
+0.0572353
+0.0579217
+0.0585233
+0.0589894
+0.0595325
+0.0601505
+0.0608412
+0.061602
+0.0624305
+0.0631897
+0.0637807
+0.0642164
+0.0646921
+0.065238
+0.0658522
+0.066533
+0.0672782
+0.0685469
+0.0674416
+0.0663902
+0.0653931
+0.0644286
+0.063525
+0.0626849
+0.061911
+0.0612058
+0.0605683
+0.0599919
+0.0594907
+0.0590665
+0.0587094
+0.0584281
+0.0582279
+0.0581096
+0.0580738
+0.0581207
+0.0582499
+0.057825
+0.0557125
+0.0536063
+0.0515006
+0.0494023
+0.0473123
+0.0452319
+0.0431624
+0.0411055
+0.0390273
+0.0369485
+0.0348834
+0.0328345
+0.0308052
+0.0287995
+0.0268228
+0.0248733
+0.0229599
+0.0209466
+0.0189268
+0.0169275
+0.0149654
+0.0130056
+0.0110953
+0.00918554
+0.00733496
+0.00553432
+0.00381028
+0.00206481
+0.000200857
+-0.00161808
+-0.00301727
+-0.002228
+-0.00108743
+0.0004857
+0.00206277
+0.0036914
+0.00558
+0.00748493
+0.00938311
+0.0113653
+0.0132614
+0.0152171
+0.0172293
+0.0192805
+0.0213296
+0.0233687
+0.025421
+0.0274524
+0.0294942
+0.0315185
+0.0335637
+0.0356262
+0.0376488
+0.0396456
+0.0416619
+0.0436949
+0.0456931
+0.0474498
+0.0492413
+0.051064
+0.0529146
+0.0547903
+0.0566885
+0.057614
+0.0580047
+0.0584749
+0.0590228
+0.059646
+0.0603425
+0.0611096
+0.0619446
+0.062845
+0.0635273
+0.0639331
+0.0644109
+0.0649592
+0.065576
+0.0662596
+0.0670078
+0.0681187
+0.0670135
+0.0659553
+0.0649538
+0.0639893
+0.0630794
+0.0622333
+0.0614538
+0.0607432
+0.0601021
+0.0595307
+0.0590351
+0.0586172
+0.0582589
+0.0579754
+0.0577736
+0.0576544
+0.0576184
+0.0576656
+0.0577958
+0.0580085
+0.0562286
+0.0541362
+0.052052
+0.0499768
+0.0479119
+0.0458486
+0.0437649
+0.041692
+0.0396319
+0.0375865
+0.0355585
+0.0335509
+0.0315669
+0.0296009
+0.0276676
+0.025754
+0.0237687
+0.0217731
+0.0198188
+0.0178642
+0.0159369
+0.014063
+0.0121655
+0.0103841
+0.00855317
+0.00685703
+0.00499095
+0.00317905
+0.00133075
+-0.000467018
+-0.0018527
+-0.0017048
+-0.000846033
+0.00055093
+0.00211282
+0.00374644
+0.00539372
+0.00723345
+0.00914754
+0.0110022
+0.012951
+0.0149382
+0.0169067
+0.0189165
+0.0209615
+0.023003
+0.0250367
+0.0270398
+0.0290699
+0.0311218
+0.0331898
+0.0351663
+0.0371623
+0.0391784
+0.0412124
+0.0432427
+0.0451128
+0.0468912
+0.0487033
+0.0505454
+0.0524143
+0.0543073
+0.0562218
+0.0571712
+0.0575649
+0.0580386
+0.0585905
+0.0592184
+0.0599198
+0.0606922
+0.0615329
+0.0624393
+0.0633075
+0.0637147
+0.0641942
+0.0647442
+0.0653631
+0.0660489
+0.0667995
+0.0677469
+0.0666355
+0.0655785
+0.0645785
+0.0636205
+0.0627052
+0.061854
+0.0610696
+0.0603545
+0.0597111
+0.0591362
+0.0586373
+0.0582166
+0.0578758
+0.0576025
+0.0573994
+0.0572795
+0.0572432
+0.0572907
+0.0574218
+0.0576359
+0.0568185
+0.0547487
+0.0526887
+0.0506114
+0.0485344
+0.0464678
+0.044413
+0.0423719
+0.0403465
+0.0383393
+0.0363489
+0.0343764
+0.0324318
+0.0305206
+0.0285929
+0.0266381
+0.0246801
+0.0227347
+0.020794
+0.0189079
+0.0170349
+0.0151928
+0.0134044
+0.011593
+0.00985456
+0.0079718
+0.00616568
+0.00427197
+0.00237584
+0.000788888
+-0.000537363
+-0.000840978
+-0.000109903
+0.000891717
+0.00228696
+0.00393213
+0.00559593
+0.00724196
+0.00904286
+0.0108926
+0.0127754
+0.0147019
+0.0166877
+0.0187192
+0.0207595
+0.0227275
+0.0247279
+0.0267501
+0.0287968
+0.0308
+0.0327683
+0.0347632
+0.0367804
+0.0388163
+0.0408356
+0.0428235
+0.0446326
+0.0464294
+0.0482589
+0.0501173
+0.0520016
+0.053909
+0.0558373
+0.0568094
+0.0572055
+0.0576823
+0.0582375
+0.0588692
+0.0595747
+0.0603515
+0.0611969
+0.0621082
+0.0630809
+0.0635657
+0.0640463
+0.0645976
+0.0652179
+0.0659052
+0.0666574
+0.0674442
+0.0663277
+0.0652657
+0.0642609
+0.063316
+0.0623978
+0.0615424
+0.0607539
+0.0600351
+0.0593884
+0.0588163
+0.0583191
+0.0578961
+0.0575534
+0.0572925
+0.0571069
+0.0569863
+0.0569498
+0.0569976
+0.0571293
+0.0573446
+0.0574774
+0.0553979
+0.0533273
+0.0512667
+0.0492173
+0.0471806
+0.0451583
+0.0431524
+0.0411577
+0.0391823
+0.0372309
+0.0353077
+0.0334077
+0.0314808
+0.0295538
+0.0276126
+0.0256668
+0.0237636
+0.0219142
+0.0200451
+0.0182161
+0.0164094
+0.0145902
+0.0127921
+0.010957
+0.00908654
+0.00709496
+0.00521899
+0.00356366
+0.00214055
+0.000882078
+0.000331432
+0.000821158
+0.00164119
+0.00284438
+0.00432947
+0.00590503
+0.00760464
+0.00919915
+0.0109191
+0.0127768
+0.0146973
+0.0166842
+0.018688
+0.0206056
+0.0225717
+0.0245758
+0.0265953
+0.028539
+0.0304958
+0.0324825
+0.034494
+0.036526
+0.0385273
+0.0405343
+0.0423649
+0.0442162
+0.0460673
+0.0479106
+0.049782
+0.0516785
+0.0535974
+0.0555365
+0.0565302
+0.0569283
+0.0574074
+0.0579653
+0.0585998
+0.0593085
+0.0600888
+0.0609379
+0.0618515
+0.0628152
+0.063492
+0.0639731
+0.0645251
+0.065146
+0.0658341
+0.0665871
+0.0672014
+0.066084
+0.0650212
+0.0640158
+0.0630681
+0.0621603
+0.0613075
+0.060516
+0.0597943
+0.059145
+0.0585705
+0.058073
+0.0576544
+0.057313
+0.057051
+0.0568722
+0.0567763
+0.0567396
+0.0567875
+0.0569198
+0.0571358
+0.0574287
+0.0560828
+0.0540384
+0.052006
+0.0499869
+0.0479808
+0.0459854
+0.0440086
+0.042053
+0.0401216
+0.0382183
+0.0363091
+0.0344053
+0.0324968
+0.0305478
+0.0286339
+0.0267624
+0.0249154
+0.0230559
+0.0212403
+0.0193925
+0.0175822
+0.0156958
+0.0138439
+0.0118884
+0.00997545
+0.00817745
+0.00652427
+0.00495388
+0.00345033
+0.0023707
+0.00178495
+0.00191512
+0.00268151
+0.00371753
+0.00500664
+0.00645562
+0.0080454
+0.00962312
+0.0112935
+0.0131166
+0.0149677
+0.0168475
+0.0187345
+0.0206181
+0.0225572
+0.0245273
+0.0264482
+0.0283801
+0.0303472
+0.032343
+0.0343472
+0.0363367
+0.0383022
+0.0401825
+0.0420157
+0.0438817
+0.0457765
+0.0476605
+0.0495413
+0.0514467
+0.053374
+0.0553209
+0.0563209
+0.0567205
+0.0572012
+0.0577611
+0.0583979
+0.059109
+0.0598919
+0.0607437
+0.0616583
+0.0626247
+0.0634939
+0.063975
+0.0645269
+0.0651478
+0.0658358
+0.0665889
+0.0670224
+0.0659053
+0.0648396
+0.0638313
+0.0628815
+0.0619703
+0.0611241
+0.0603455
+0.0596303
+0.058982
+0.0584059
+0.0579069
+0.0574872
+0.0571484
+0.056892
+0.0567136
+0.0566186
+0.0566063
+0.0566544
+0.0567869
+0.0570034
+0.0573029
+0.0568439
+0.0548279
+0.052821
+0.0508267
+0.0488493
+0.0468909
+0.0449538
+0.0430412
+0.041154
+0.0392407
+0.0373578
+0.0354337
+0.0335124
+0.0316261
+0.0297815
+0.0279162
+0.0260709
+0.0242279
+0.0223994
+0.0205097
+0.0186621
+0.0167428
+0.0148088
+0.0129567
+0.0111857
+0.00955279
+0.0078295
+0.00628995
+0.00502673
+0.00397467
+0.00333333
+0.0032411
+0.00380786
+0.00476185
+0.00591079
+0.00728199
+0.00869955
+0.0102249
+0.011846
+0.0134805
+0.0152401
+0.0170607
+0.0188972
+0.020766
+0.0226482
+0.0245535
+0.0264586
+0.0283898
+0.0303366
+0.0322916
+0.034268
+0.0361978
+0.0381271
+0.0399345
+0.0417786
+0.0436547
+0.0455589
+0.0474879
+0.0493968
+0.0513076
+0.0532399
+0.0551915
+0.0561938
+0.0565943
+0.0570761
+0.0576372
+0.0582753
+0.058988
+0.0597724
+0.0606259
+0.0615423
+0.0625104
+0.0635393
+0.0640518
+0.064603
+0.0652232
+0.0659105
+0.0666626
+0.0669041
+0.0657854
+0.0647215
+0.0637152
+0.0627692
+0.0618573
+0.0610095
+0.0602295
+0.05952
+0.0588807
+0.0583079
+0.0578126
+0.0573966
+0.0570618
+0.056805
+0.0566319
+0.0565432
+0.0565338
+0.0565964
+0.0567291
+0.0569459
+0.0572457
+0.0576272
+0.055678
+0.0537005
+0.0517402
+0.049799
+0.0478795
+0.0459841
+0.04409
+0.042196
+0.0403227
+0.038396
+0.0364991
+0.0346369
+0.0327878
+0.0309229
+0.0290844
+0.0272357
+0.0253561
+0.023481
+0.0216171
+0.0196744
+0.0177894
+0.0159764
+0.0142294
+0.0124357
+0.0107132
+0.0091626
+0.00783424
+0.0065628
+0.00551234
+0.00488224
+0.00470839
+0.00508743
+0.00592192
+0.00699533
+0.00819217
+0.00952403
+0.0109666
+0.0124833
+0.014071
+0.0157227
+0.017436
+0.019191
+0.0209876
+0.0227967
+0.0246477
+0.0265504
+0.0284715
+0.0303882
+0.0322948
+0.0341424
+0.0360285
+0.0379472
+0.0398057
+0.0416555
+0.0435369
+0.0454461
+0.0473796
+0.0493346
+0.0512617
+0.0531957
+0.0551004
+0.0561519
+0.0565527
+0.0570349
+0.0575964
+0.058235
+0.0589481
+0.0597331
+0.0605871
+0.061504
+0.0624728
+0.0635023
+0.0642033
+0.0647532
+0.065372
+0.0660577
+0.0668082
+0.0668497
+0.0657379
+0.0646732
+0.0636661
+0.0627194
+0.0618219
+0.0609736
+0.0601931
+0.0594831
+0.0588461
+0.0582845
+0.0577907
+0.0573746
+0.0570396
+0.0567827
+0.0566095
+0.0565208
+0.0565169
+0.0565978
+0.0567532
+0.0569725
+0.0572722
+0.0576536
+0.0565979
+0.0546537
+0.0527289
+0.0508255
+0.0489462
+0.0470467
+0.0451705
+0.043283
+0.0413782
+0.039503
+0.0376619
+0.0357876
+0.033946
+0.0320856
+0.0302193
+0.0283273
+0.0264521
+0.0245398
+0.022645
+0.0208044
+0.0190104
+0.017171
+0.0153745
+0.01369
+0.0121203
+0.0105584
+0.00916457
+0.00800072
+0.00705539
+0.00642325
+0.006169
+0.00637492
+0.00704801
+0.00809766
+0.00919195
+0.0104255
+0.0118149
+0.0131967
+0.0147485
+0.0163598
+0.0179891
+0.0196332
+0.0213268
+0.0230981
+0.024923
+0.0267704
+0.0286661
+0.0304207
+0.0322268
+0.0340781
+0.0359675
+0.0378894
+0.0397972
+0.0416474
+0.0435292
+0.0454387
+0.0473725
+0.0493278
+0.0510213
+0.0523294
+0.053695
+0.0551139
+0.056582
+0.0570778
+0.0576389
+0.058277
+0.0589896
+0.059774
+0.0606275
+0.0615438
+0.0625119
+0.0635408
+0.0644289
+0.064977
+0.0655937
+0.0662771
+0.0670251
+0.0668609
+0.0657555
+0.0646928
+0.063686
+0.0627396
+0.0618563
+0.0610163
+0.0602364
+0.0595269
+0.0588904
+0.0583293
+0.0578457
+0.0574361
+0.0571015
+0.0568449
+0.0566719
+0.0565833
+0.0565793
+0.0566602
+0.0568155
+0.0570536
+0.0573745
+0.0577631
+0.0575866
+0.0556769
+0.0537887
+0.0519064
+0.0500206
+0.0481606
+0.0462613
+0.0443762
+0.0425204
+0.0406593
+0.0388018
+0.0369484
+0.0350923
+0.0331889
+0.0312909
+0.0293718
+0.0274609
+0.0255949
+0.0237843
+0.0219765
+0.0201321
+0.0183631
+0.0166514
+0.0149649
+0.0133734
+0.0119082
+0.0106517
+0.00955434
+0.00864098
+0.0079235
+0.00763293
+0.00775276
+0.00828909
+0.0091844
+0.0101967
+0.0113503
+0.012637
+0.0139659
+0.0154342
+0.0170033
+0.0185445
+0.0201425
+0.0217947
+0.0234884
+0.0252512
+0.0270506
+0.0287589
+0.0305062
+0.0323075
+0.0341544
+0.0360399
+0.0379581
+0.0399044
+0.0417472
+0.0436042
+0.0454887
+0.047093
+0.0483118
+0.0495971
+0.0509417
+0.0523436
+0.0537967
+0.0552757
+0.0567972
+0.0576797
+0.0583421
+0.0590702
+0.059869
+0.0607364
+0.0616615
+0.0626278
+0.0636548
+0.064728
+0.0652735
+0.0658875
+0.0665678
+0.0673127
+0.066922
+0.0658177
+0.0647687
+0.0637731
+0.062828
+0.0619459
+0.0611297
+0.0603591
+0.0596511
+0.059016
+0.0584561
+0.0579736
+0.0575705
+0.057245
+0.056989
+0.0568165
+0.056728
+0.0567241
+0.0568048
+0.0569619
+0.0571995
+0.0575196
+0.0579208
+0.0584015
+0.0567662
+0.0548793
+0.0530087
+0.0511474
+0.0492545
+0.0473872
+0.0455354
+0.0436656
+0.0418195
+0.0399595
+0.038059
+0.0361458
+0.0342227
+0.0323016
+0.030417
+0.0285761
+0.0267772
+0.0248943
+0.0230657
+0.0213003
+0.01958
+0.0178692
+0.0162739
+0.0147858
+0.0134393
+0.0122024
+0.0111343
+0.0101987
+0.00952469
+0.00918064
+0.00919961
+0.00960905
+0.0103601
+0.0112991
+0.0123821
+0.0135736
+0.0147969
+0.0161812
+0.0176304
+0.0191334
+0.0206942
+0.0222881
+0.0239471
+0.0256338
+0.0272976
+0.0290152
+0.0307479
+0.0325359
+0.0343705
+0.0362447
+0.0381526
+0.0399951
+0.0418309
+0.0433484
+0.0444676
+0.0456513
+0.0469076
+0.0482303
+0.0496105
+0.0510307
+0.0525039
+0.0540183
+0.0555743
+0.0571719
+0.0583098
+0.0590383
+0.0598376
+0.0607054
+0.0616389
+0.0626352
+0.0636833
+0.0647821
+0.0656419
+0.0662524
+0.0669291
+0.0676699
+0.0670488
+0.0659466
+0.0648996
+0.0639106
+0.0629824
+0.0621128
+0.0612988
+0.0605531
+0.0598554
+0.0592224
+0.0586645
+0.0581837
+0.0577821
+0.0574612
+0.0572107
+0.0570388
+0.0569507
+0.0569469
+0.0570272
+0.0571913
+0.0574286
+0.0577474
+0.0581471
+0.0586259
+0.0578653
+0.0560087
+0.0541364
+0.0522598
+0.0504087
+0.0485361
+0.0466836
+0.0448246
+0.0429327
+0.0410111
+0.0390855
+0.0371575
+0.0352603
+0.0333989
+0.0315799
+0.0296941
+0.0278357
+0.0260204
+0.0242624
+0.0225218
+0.0208294
+0.01923
+0.0177155
+0.0162976
+0.0149837
+0.0137782
+0.0126923
+0.0118118
+0.0111507
+0.01077
+0.0107468
+0.0110415
+0.0115923
+0.01244
+0.0134611
+0.014644
+0.0158053
+0.0170839
+0.018422
+0.019867
+0.021353
+0.0228881
+0.0245003
+0.026079
+0.027716
+0.0294252
+0.0311423
+0.0329088
+0.0347238
+0.0365799
+0.0383934
+0.039846
+0.0408308
+0.0419063
+0.0430495
+0.0442712
+0.0455654
+0.0469046
+0.048305
+0.0497625
+0.0512722
+0.0528219
+0.0544121
+0.0560428
+0.0577106
+0.0590729
+0.0598717
+0.0607391
+0.0616721
+0.0626678
+0.0637146
+0.0648128
+0.0659656
+0.0666874
+0.0673597
+0.0680958
+0.0672467
+0.0661478
+0.0651041
+0.0641182
+0.063193
+0.062331
+0.061535
+0.0608023
+0.0601149
+0.0594878
+0.0589324
+0.0584538
+0.058054
+0.0577347
+0.0574971
+0.0573422
+0.0572565
+0.0572526
+0.0573325
+0.0574958
+0.05774
+0.0580571
+0.0584546
+0.058931
+0.0590189
+0.0571369
+0.0552755
+0.0534117
+0.0515483
+0.0497115
+0.0478114
+0.0459123
+0.0439562
+0.0420233
+0.0401169
+0.038241
+0.0363922
+0.0345216
+0.0326404
+0.0307932
+0.0289935
+0.0272445
+0.025494
+0.0238165
+0.0222244
+0.0206942
+0.0192054
+0.0178112
+0.0165411
+0.0153254
+0.014283
+0.0134246
+0.0127989
+0.0124486
+0.0123278
+0.0124888
+0.0129571
+0.0137072
+0.0146449
+0.0157539
+0.0168573
+0.0181121
+0.019371
+0.0207187
+0.0221334
+0.0235953
+0.0251151
+0.0266971
+0.0282984
+0.0299744
+0.0316835
+0.0334038
+0.0351104
+0.036637
+0.0374685
+0.0383894
+0.0394106
+0.0405175
+0.0416983
+0.0429411
+0.0442501
+0.0456269
+0.0470653
+0.04856
+0.0501059
+0.0516907
+0.0533146
+0.0549779
+0.056677
+0.0584089
+0.059985
+0.0608508
+0.0617821
+0.0627761
+0.0638211
+0.0649175
+0.0660684
+0.067191
+0.0678583
+0.0685386
+0.0675151
+0.0664207
+0.0653813
+0.0643997
+0.0634786
+0.0626206
+0.0618283
+0.0610992
+0.0604152
+0.0598037
+0.0592669
+0.058794
+0.0583966
+0.0580791
+0.0578429
+0.057689
+0.0576181
+0.0576303
+0.0577194
+0.0578816
+0.058126
+0.0584473
+0.0588422
+0.0593154
+0.0598651
+0.0582912
+0.0564188
+0.0545685
+0.0526901
+0.0507885
+0.0488325
+0.0468959
+0.0449827
+0.0430958
+0.0412227
+0.0393655
+0.0374668
+0.0356001
+0.0337725
+0.0319904
+0.0302287
+0.0284931
+0.0268242
+0.0252274
+0.0236361
+0.0221169
+0.0207082
+0.0193657
+0.01808
+0.0169265
+0.0159562
+0.0151381
+0.0145033
+0.0141039
+0.0139096
+0.0140094
+0.014394
+0.0150296
+0.0158285
+0.0168292
+0.0180028
+0.0192232
+0.0203976
+0.0216453
+0.0229693
+0.0244174
+0.025892
+0.0273986
+0.0289576
+0.0305672
+0.0322023
+0.0334611
+0.0341779
+0.0350174
+0.0359708
+0.0369977
+0.0380563
+0.0391896
+0.0403828
+0.041657
+0.0430051
+0.0444205
+0.0458967
+0.0474283
+0.0490099
+0.0506291
+0.052286
+0.053981
+0.0557105
+0.0574715
+0.0592612
+0.0610409
+0.0619694
+0.0629605
+0.0640025
+0.0650958
+0.0662436
+0.0674431
+0.0682229
+0.068869
+0.0678533
+0.0667644
+0.0657304
+0.0647541
+0.0638381
+0.062985
+0.0621974
+0.0614729
+0.0607931
+0.0601854
+0.059652
+0.0591949
+0.0588159
+0.0585036
+0.0582692
+0.0581164
+0.0580459
+0.0580581
+0.0581529
+0.0583298
+0.0585882
+0.0589126
+0.0593082
+0.0597778
+0.0603232
+0.0594319
+0.0575511
+0.0556683
+0.0537128
+0.0517734
+0.0498548
+0.0479564
+0.0460676
+0.0442061
+0.0423095
+0.0404291
+0.0385814
+0.0367714
+0.0350049
+0.0332338
+0.0315114
+0.0298428
+0.0281721
+0.0265748
+0.0250403
+0.0235978
+0.0221802
+0.020866
+0.0196754
+0.018578
+0.0176367
+0.0168185
+0.0161889
+0.0157568
+0.0155391
+0.0155984
+0.0158589
+0.0164018
+0.0171229
+0.0180659
+0.0191678
+0.0203796
+0.0214901
+0.0226765
+0.023946
+0.0253018
+0.0266958
+0.0281441
+0.0296519
+0.0306956
+0.0311989
+0.031824
+0.0325769
+0.0334565
+0.0344532
+0.0355571
+0.0367585
+0.0379051
+0.0391374
+0.0404509
+0.0418379
+0.0432914
+0.0448049
+0.0463725
+0.0479889
+0.0496414
+0.0513302
+0.0530558
+0.0548145
+0.0566034
+0.0584197
+0.0602609
+0.0621221
+0.0632202
+0.064258
+0.0653471
+0.0664906
+0.0676857
+0.0684521
+0.0689212
+0.0682499
+0.0671694
+0.0661439
+0.0651746
+0.0642646
+0.0634172
+0.062635
+0.0619205
+0.061247
+0.0606438
+0.0601145
+0.059661
+0.059285
+0.058988
+0.0587712
+0.0586224
+0.0585525
+0.0585646
+0.0586586
+0.058834
+0.0590902
+0.0594162
+0.059815
+0.0602908
+0.0608418
+0.0605393
+0.0585962
+0.0566546
+0.0547308
+0.0528183
+0.0509228
+0.0490498
+0.0471638
+0.045273
+0.0434104
+0.0415797
+0.0397855
+0.0380145
+0.0362545
+0.0345363
+0.0328121
+0.0311465
+0.029545
+0.0279996
+0.026478
+0.0250386
+0.0236937
+0.0224559
+0.0213144
+0.0202527
+0.0192916
+0.0185211
+0.0178909
+0.0174116
+0.01718
+0.0171806
+0.0174165
+0.0178935
+0.018563
+0.0194378
+0.0204649
+0.0216309
+0.0226963
+0.0238041
+0.0249919
+0.026292
+0.0276259
+0.0284703
+0.0286795
+0.0290527
+0.029584
+0.0302525
+0.0310471
+0.0319689
+0.0330105
+0.034161
+0.0354098
+0.0367064
+0.0379776
+0.0393298
+0.040755
+0.0422458
+0.0437954
+0.0453965
+0.0470351
+0.048717
+0.050438
+0.0521942
+0.0539822
+0.0557989
+0.0576416
+0.0595078
+0.0613638
+0.0632366
+0.0645714
+0.0656644
+0.0668024
+0.067884
+0.0682868
+0.068757
+0.0687107
+0.067636
+0.0666156
+0.0656525
+0.0647492
+0.0639082
+0.0631321
+0.0624233
+0.0617753
+0.0611773
+0.0606527
+0.0602032
+0.0598306
+0.0595364
+0.0593216
+0.0591872
+0.0591212
+0.0591332
+0.0592263
+0.0594
+0.0596538
+0.0599865
+0.0603864
+0.0608577
+0.0614037
+0.0615384
+0.0596036
+0.0576863
+0.0557855
+0.0539035
+0.0520264
+0.0501275
+0.0482534
+0.046407
+0.0445917
+0.0427844
+0.0410041
+0.0392654
+0.0375178
+0.0358031
+0.0341429
+0.0325211
+0.030924
+0.0293905
+0.0279448
+0.0265699
+0.0253044
+0.0240596
+0.0229135
+0.0219236
+0.0209969
+0.0202213
+0.0195863
+0.0191204
+0.0188789
+0.0188689
+0.0190827
+0.0194984
+0.0201098
+0.0209028
+0.0218622
+0.0229792
+0.0239014
+0.0249377
+0.0260858
+0.0268664
+0.026766
+0.0268446
+0.0270839
+0.0274788
+0.0280399
+0.028742
+0.0295827
+0.0305577
+0.0316527
+0.0328508
+0.0341476
+0.0355322
+0.0369051
+0.0382953
+0.0397575
+0.0412843
+0.042864
+0.0444879
+0.0461586
+0.0478713
+0.0496216
+0.0514057
+0.0532202
+0.055062
+0.0569286
+0.0588025
+0.0606752
+0.062478
+0.0640894
+0.0657344
+0.0671765
+0.0677845
+0.0681878
+0.06865
+0.0692339
+0.068167
+0.0671547
+0.0661994
+0.0653037
+0.06447
+0.0637007
+0.0629982
+0.0623541
+0.0617725
+0.0612529
+0.0608079
+0.060439
+0.0601478
+0.0599352
+0.0598021
+0.0597492
+0.0597759
+0.059868
+0.0600399
+0.0602909
+0.0606202
+0.0610263
+0.0614976
+0.0620378
+0.0623929
+0.060654
+0.0587646
+0.0568951
+0.0549898
+0.0531065
+0.0512477
+0.0494084
+0.047579
+0.0457755
+0.0440044
+0.0422613
+0.0405092
+0.0387859
+0.0371106
+0.0354839
+0.0338793
+0.0323375
+0.0308743
+0.0294911
+0.0281327
+0.0268237
+0.0256301
+0.0245587
+0.0235819
+0.0227005
+0.0219457
+0.021334
+0.0208893
+0.0206685
+0.020638
+0.0208153
+0.0211815
+0.0217325
+0.0224516
+0.0233475
+0.0243356
+0.025195
+0.0260392
+0.025599
+0.0253178
+0.0252112
+0.0252946
+0.0255661
+0.0259918
+0.0265842
+0.0273238
+0.0282068
+0.0292277
+0.0303713
+0.031618
+0.0329633
+0.0343953
+0.0358894
+0.0373422
+0.0388404
+0.0404018
+0.0420147
+0.0436701
+0.045371
+0.0471123
+0.0488898
+0.0506997
+0.0525385
+0.0544035
+0.0562919
+0.0581661
+0.0598289
+0.0614317
+0.0630699
+0.0647408
+0.0664419
+0.0677457
+0.0681493
+0.0686118
+0.0698215
+0.0687638
+0.0677604
+0.0668138
+0.0659264
+0.0651006
+0.0643389
+0.0636377
+0.062996
+0.0624246
+0.0619212
+0.061481
+0.0611162
+0.0608282
+0.060618
+0.0604865
+0.0604341
+0.0604611
+0.0605674
+0.060744
+0.0609921
+0.0613174
+0.0617189
+0.062195
+0.0627422
+0.0630196
+0.0617554
+0.0598581
+0.0579674
+0.0560985
+0.0542343
+0.0523896
+0.0505635
+0.0487675
+0.0469928
+0.0452195
+0.0434682
+0.0417576
+0.0400867
+0.0384667
+0.036858
+0.0353019
+0.0337853
+0.032346
+0.0309821
+0.0296535
+0.0284144
+0.0272721
+0.0262248
+0.0252953
+0.0244428
+0.02373
+0.0231244
+0.0227149
+0.0224915
+0.0224598
+0.0225972
+0.022906
+0.0234164
+0.0240881
+0.0249243
+0.0257471
+0.0252336
+0.0245847
+0.024118
+0.0238442
+0.0237376
+0.0238262
+0.0241143
+0.0245747
+0.0252005
+0.0259964
+0.0269359
+0.0280061
+0.0291975
+0.0304923
+0.0318851
+0.0333635
+0.0349017
+0.0364959
+0.0380274
+0.0396209
+0.0412643
+0.0429487
+0.044677
+0.0464444
+0.0482465
+0.0500796
+0.0519404
+0.0538261
+0.0556734
+0.0572249
+0.0588171
+0.0604468
+0.0621109
+0.0638069
+0.0655323
+0.0672847
+0.0681811
+0.0686434
+0.0704724
+0.0694246
+0.0684309
+0.0674936
+0.0666153
+0.0657982
+0.0650436
+0.0643414
+0.0637068
+0.0631418
+0.0626485
+0.062224
+0.0618636
+0.061579
+0.0613714
+0.0612415
+0.0611898
+0.0612165
+0.0613215
+0.0615044
+0.0617567
+0.0620781
+0.0624747
+0.0629451
+0.0634876
+0.0637072
+0.062834
+0.0609494
+0.0590721
+0.0572096
+0.0553691
+0.053555
+0.0517555
+0.0499657
+0.0481877
+0.046445
+0.0447389
+0.0430631
+0.0414224
+0.0397985
+0.0382092
+0.0366819
+0.0352248
+0.0338359
+0.03253
+0.0312351
+0.0300382
+0.0289398
+0.0279478
+0.0270529
+0.0262304
+0.0255357
+0.024974
+0.0245655
+0.0243401
+0.024287
+0.0244114
+0.0246974
+0.0251625
+0.0257638
+0.0257731
+0.0247732
+0.0239209
+0.0232445
+0.0227508
+0.0224608
+0.0223572
+0.0224512
+0.0227567
+0.0232653
+0.0239351
+0.0247717
+0.0257559
+0.0268793
+0.0281287
+0.0294866
+0.0309248
+0.0324469
+0.0340266
+0.0356699
+0.0373255
+0.0389477
+0.0406184
+0.0423285
+0.0440811
+0.0458715
+0.0476952
+0.0495487
+0.0514261
+0.0531368
+0.0546725
+0.0562516
+0.0578706
+0.0595262
+0.0612154
+0.0629355
+0.0646841
+0.0664589
+0.0682578
+0.0687449
+0.0711825
+0.0701452
+0.0691619
+0.0682347
+0.067366
+0.0665581
+0.0658052
+0.0651112
+0.0644841
+0.0639261
+0.0634388
+0.0630239
+0.0626787
+0.0623978
+0.062193
+0.0620648
+0.0620137
+0.0620401
+0.0621437
+0.0623242
+0.0625809
+0.0629058
+0.0632972
+0.0637616
+0.0642972
+0.0644558
+0.0639154
+0.0620419
+0.0601897
+0.0583591
+0.0565414
+0.0547387
+0.0529397
+0.0511713
+0.0494367
+0.0477159
+0.0460326
+0.0443802
+0.0427368
+0.0411443
+0.0396091
+0.0381379
+0.0367294
+0.0353957
+0.0340867
+0.0328533
+0.0317117
+0.0306722
+0.0297203
+0.0288455
+0.0280484
+0.0273631
+0.0268373
+0.0264505
+0.0262328
+0.0261699
+0.0262675
+0.0265269
+0.0269321
+0.0258339
+0.0246602
+0.0236098
+0.0227139
+0.0220004
+0.0214792
+0.0211717
+0.0210885
+0.0211965
+0.0215198
+0.0220569
+0.0227918
+0.0236796
+0.0247141
+0.0258828
+0.0271781
+0.0285817
+0.0300633
+0.0316272
+0.0332619
+0.0349515
+0.0366845
+0.0383879
+0.0400819
+0.0418139
+0.043585
+0.0453896
+0.0472268
+0.0490931
+0.0506626
+0.0521792
+0.0537423
+0.0553479
+0.0569926
+0.058673
+0.060386
+0.0621291
+0.0638998
+0.0656958
+0.0675151
+0.0689157
+0.071889
+0.0709197
+0.0699472
+0.0690306
+0.0681721
+0.0673738
+0.0666301
+0.0659448
+0.0653258
+0.064775
+0.0642941
+0.0638848
+0.0635484
+0.0632819
+0.0630799
+0.0629535
+0.0629032
+0.0629292
+0.0630313
+0.0632093
+0.0634624
+0.0637898
+0.0641841
+0.064642
+0.0651704
+0.0652694
+0.0636704
+0.0619097
+0.0601771
+0.0584753
+0.0568043
+0.0551652
+0.0535656
+0.0520091
+0.0504997
+0.049018
+0.0473383
+0.0456962
+0.0441018
+0.0425604
+0.0410782
+0.0396537
+0.0382966
+0.0369734
+0.0357053
+0.0345298
+0.0334417
+0.0324401
+0.0315036
+0.0306591
+0.0298827
+0.0292404
+0.0287405
+0.0283715
+0.0281434
+0.0280849
+0.0281407
+0.0276821
+0.0262266
+0.0248792
+0.0236582
+0.0225841
+0.0216606
+0.0209032
+0.0203522
+0.020027
+0.0199386
+0.0200666
+0.0204078
+0.0209735
+0.0217434
+0.0226978
+0.0237933
+0.0250213
+0.0263743
+0.0278196
+0.0293397
+0.0309403
+0.0326095
+0.0343311
+0.0361015
+0.0379155
+0.0396455
+0.04139
+0.0431752
+0.0449962
+0.0468202
+0.0482606
+0.0497539
+0.0512974
+0.0528865
+0.0545174
+0.0561864
+0.0578901
+0.0596257
+0.0613904
+0.0631818
+0.0649976
+0.0668359
+0.0686949
+0.0723206
+0.0717527
+0.0707917
+0.0698861
+0.0690382
+0.0682502
+0.0675161
+0.0668398
+0.0662292
+0.065686
+0.0652118
+0.0648083
+0.0644768
+0.0642183
+0.0640295
+0.063905
+0.0638555
+0.0638811
+0.0639817
+0.064157
+0.0644064
+0.064729
+0.0651238
+0.0655759
+0.0660969
+0.0650877
+0.0632905
+0.0615189
+0.059775
+0.0580614
+0.0563781
+0.0547263
+0.0531135
+0.0515433
+0.0500198
+0.0485474
+0.0471308
+0.0457753
+0.0444857
+0.0432647
+0.0421218
+0.0410641
+0.0398771
+0.0385953
+0.0373823
+0.0362422
+0.0351763
+0.0341969
+0.0333092
+0.0324923
+0.0317544
+0.0311533
+0.0306711
+0.0303023
+0.0300657
+0.02998
+0.0285541
+0.0269694
+0.0254733
+0.0240837
+0.0228202
+0.0217047
+0.0207442
+0.0199498
+0.0193717
+0.0190298
+0.0189367
+0.0190962
+0.0194772
+0.0200692
+0.0208728
+0.0218655
+0.0230242
+0.0242997
+0.0256908
+0.0271824
+0.0287393
+0.0303744
+0.0320745
+0.0338297
+0.0356332
+0.0374697
+0.0393168
+0.0410752
+0.0428736
+0.0445296
+0.04594
+0.0474071
+0.0489265
+0.0504952
+0.0521089
+0.0537633
+0.055455
+0.0571805
+0.058937
+0.0607217
+0.0625323
+0.0643664
+0.0662222
+0.068098
+0.0728091
+0.0724646
+0.0716932
+0.0707992
+0.0699623
+0.0691848
+0.0684581
+0.0677913
+0.0671893
+0.0666539
+0.0661867
+0.0657892
+0.0654626
+0.065208
+0.0650249
+0.0649023
+0.0648536
+0.0648788
+0.0649778
+0.0651505
+0.0653961
+0.0657138
+0.0661027
+0.0665614
+0.066619
+0.0647902
+0.0629846
+0.061204
+0.0594492
+0.0577191
+0.0560211
+0.0543584
+0.0527344
+0.0511526
+0.0496171
+0.0481324
+0.0467032
+0.0453349
+0.0440287
+0.0427942
+0.0416384
+0.0405681
+0.0395901
+0.0387116
+0.0379393
+0.0372694
+0.0367108
+0.035969
+0.0351344
+0.0343519
+0.0336362
+0.0330361
+0.0325726
+0.032206
+0.0314475
+0.0296968
+0.0280043
+0.0263853
+0.024854
+0.0234278
+0.0221268
+0.0209745
+0.0199872
+0.0191723
+0.0185813
+0.0182281
+0.0181309
+0.0182867
+0.0186847
+0.0193243
+0.0201608
+0.0211911
+0.0223889
+0.0237224
+0.0251612
+0.0266936
+0.0282897
+0.0299494
+0.0316723
+0.0334486
+0.0352716
+0.037126
+0.0390106
+0.0408757
+0.0423419
+0.0437131
+0.045149
+0.046641
+0.0481845
+0.0497767
+0.0514128
+0.053089
+0.0548015
+0.056547
+0.0583225
+0.0601255
+0.0619535
+0.0638042
+0.065676
+0.0675668
+0.0733385
+0.0730179
+0.0726496
+0.0717674
+0.070942
+0.0701752
+0.0694558
+0.0687986
+0.0682055
+0.0676782
+0.0672181
+0.0668267
+0.0665052
+0.0662546
+0.0660758
+0.0659573
+0.0659093
+0.065934
+0.0660315
+0.0662014
+0.0664432
+0.0667559
+0.0671388
+0.0675905
+0.0664007
+0.0645657
+0.0627499
+0.060956
+0.0591888
+0.0574508
+0.0557447
+0.0540736
+0.0524407
+0.0508497
+0.0493048
+0.0478104
+0.0463713
+0.0449929
+0.0436765
+0.0424318
+0.0412658
+0.0401855
+0.039198
+0.0383105
+0.03753
+0.0368566
+0.0362905
+0.0358495
+0.0355384
+0.0353605
+0.0353178
+0.0349244
+0.0344816
+0.0329151
+0.031102
+0.0293307
+0.0276158
+0.0259725
+0.0244154
+0.0229619
+0.0216329
+0.0204528
+0.019439
+0.0186001
+0.0179903
+0.0176273
+0.0175268
+0.0176859
+0.0180971
+0.0187568
+0.0196399
+0.0207047
+0.0219291
+0.0232957
+0.0247655
+0.0263298
+0.0279783
+0.0296773
+0.031418
+0.0332079
+0.0350434
+0.0369094
+0.0388044
+0.0402738
+0.0415978
+0.0429928
+0.0444519
+0.0459666
+0.047532
+0.0491453
+0.0508018
+0.0524975
+0.0542287
+0.055992
+0.0577846
+0.0596039
+0.0614473
+0.0633129
+0.0651987
+0.0671031
+0.0739251
+0.073611
+0.073357
+0.0727888
+0.0719751
+0.0712162
+0.0705074
+0.0698601
+0.0692761
+0.068757
+0.0683042
+0.067919
+0.0676027
+0.0673562
+0.0671803
+0.0670672
+0.06702
+0.0670443
+0.0671402
+0.0673073
+0.0675451
+0.0678528
+0.0682294
+0.0681141
+0.0662487
+0.0644033
+0.06258
+0.0607811
+0.0590087
+0.0572652
+0.0555534
+0.0538763
+0.0522373
+0.0506399
+0.0490884
+0.0475872
+0.0461412
+0.0447557
+0.0434321
+0.0421801
+0.041007
+0.0399197
+0.0389255
+0.0380316
+0.0372452
+0.0365666
+0.0359959
+0.0355513
+0.0352375
+0.0350581
+0.0350151
+0.0351089
+0.0345986
+0.0327321
+0.0309083
+0.0291252
+0.0273974
+0.0257402
+0.0241681
+0.0226988
+0.0213535
+0.020157
+0.0191275
+0.0182743
+0.0176533
+0.0172852
+0.0171827
+0.017343
+0.0177621
+0.0184338
+0.0193316
+0.0204125
+0.0216535
+0.0230364
+0.0245372
+0.0261357
+0.0277962
+0.0295255
+0.0313045
+0.0331108
+0.0349513
+0.036822
+0.0383448
+0.0396122
+0.0409576
+0.0423736
+0.0438504
+0.0453831
+0.046968
+0.0486
+0.0502745
+0.0519874
+0.053735
+0.055514
+0.0573216
+0.0591551
+0.0610121
+0.0628906
+0.0647887
+0.0667016
+0.0745714
+0.0742601
+0.0740123
+0.0738247
+0.0730593
+0.0723086
+0.0716106
+0.0709734
+0.0703986
+0.0698878
+0.0694424
+0.0690636
+0.0687526
+0.0685102
+0.0683373
+0.0682294
+0.068183
+0.0682069
+0.0683012
+0.0684654
+0.0686992
+0.0690017
+0.0693722
+0.0680287
+0.0661604
+0.0643124
+0.0624865
+0.0606848
+0.0589095
+0.057163
+0.0554481
+0.0537677
+0.0521252
+0.0505243
+0.0489691
+0.0474642
+0.0460143
+0.0446249
+0.0432972
+0.0420412
+0.0408642
+0.039773
+0.038775
+0.0378775
+0.0370879
+0.0364063
+0.0358331
+0.0353865
+0.0350712
+0.0348909
+0.0348477
+0.034942
+0.0345636
+0.0326952
+0.0308692
+0.0290837
+0.0273533
+0.0256933
+0.0241181
+0.0226455
+0.0212969
+0.020097
+0.0190629
+0.0182055
+0.0175804
+0.0172128
+0.0171103
+0.0172729
+0.017694
+0.0183681
+0.0192691
+0.0203533
+0.0215976
+0.0229839
+0.0244879
+0.0260894
+0.0277715
+0.0295076
+0.031296
+0.0331326
+0.0349964
+0.0365768
+0.0377765
+0.0390612
+0.0404197
+0.0418488
+0.0433416
+0.0448917
+0.0464933
+0.0481414
+0.0498313
+0.0515589
+0.0533206
+0.055113
+0.0569333
+0.0587789
+0.0606474
+0.0625369
+0.064445
+0.0663626
+0.075276
+0.0749676
+0.0747221
+0.0745403
+0.0741923
+0.0734501
+0.0727631
+0.0721361
+0.0715706
+0.0710682
+0.0706302
+0.0702579
+0.0699521
+0.069714
+0.069544
+0.0694413
+0.0693957
+0.0694192
+0.0695118
+0.0696732
+0.0699029
+0.0702003
+0.0698979
+0.0680133
+0.0661445
+0.0642961
+0.0624698
+0.0606676
+0.0588917
+0.0571447
+0.0554291
+0.0537482
+0.0521051
+0.0505036
+0.0489477
+0.0474421
+0.0459915
+0.0446014
+0.043273
+0.0420163
+0.0408385
+0.0397466
+0.0387479
+0.0378498
+0.0370596
+0.0363775
+0.0358039
+0.0353568
+0.0350413
+0.0348609
+0.0348176
+0.034912
+0.0346674
+0.0328049
+0.0309782
+0.0291958
+0.0274725
+0.0258201
+0.0242532
+0.0227893
+0.0214497
+0.0202566
+0.0192031
+0.0183515
+0.0177312
+0.0173657
+0.0172636
+0.0174293
+0.0178563
+0.0185342
+0.0194365
+0.020529
+0.0217633
+0.0231396
+0.0246342
+0.0262267
+0.0279005
+0.0296291
+0.0314105
+0.0332409
+0.0349596
+0.0360999
+0.037318
+0.0386136
+0.0399873
+0.0414314
+0.0429387
+0.0445028
+0.046118
+0.047779
+0.0494813
+0.0512207
+0.0529936
+0.0547967
+0.0566272
+0.0584824
+0.0603602
+0.0622583
+0.0641687
+0.0660931
+0.0760372
+0.0757318
+0.0754889
+0.0753089
+0.0751923
+0.0746385
+0.0739625
+0.0733457
+0.0727897
+0.0722957
+0.0718652
+0.0714993
+0.0711989
+0.0709649
+0.0707979
+0.0706985
+0.0706555
+0.0706786
+0.0707696
+0.0709281
+0.0711538
+0.0714459
+0.0699516
+0.0680685
+0.0662012
+0.0643544
+0.0625298
+0.0607294
+0.0589554
+0.0572103
+0.0554968
+0.0538179
+0.052177
+0.0505778
+0.0490243
+0.0475211
+0.046073
+0.0446854
+0.0433596
+0.0421055
+0.0409302
+0.0398409
+0.0388446
+0.0379488
+0.0371607
+0.0364805
+0.0359085
+0.0354628
+0.0351482
+0.0349683
+0.0349251
+0.0350192
+0.0348981
+0.0330367
+0.0312181
+0.0294502
+0.0277427
+0.0261075
+0.0245589
+0.0231144
+0.0217948
+0.0206217
+0.0195878
+0.0187537
+0.0181471
+0.0177884
+0.0176889
+0.0178523
+0.0182694
+0.0189325
+0.0198167
+0.0208941
+0.0221247
+0.0234798
+0.024954
+0.0265273
+0.0281833
+0.029908
+0.0316765
+0.0334923
+0.034561
+0.035714
+0.0369611
+0.0382863
+0.0396714
+0.0411265
+0.0426446
+0.0442192
+0.0458443
+0.0475149
+0.0492263
+0.0509742
+0.0527524
+0.0545606
+0.0563959
+0.0582558
+0.060138
+0.0620386
+0.0639526
+0.0658827
+0.0768532
+0.0765512
+0.0763108
+0.0761328
+0.0760175
+0.0758632
+0.0751982
+0.0745916
+0.0740449
+0.0735594
+0.0731364
+0.0727768
+0.0724817
+0.0722519
+0.0720879
+0.0719902
+0.071959
+0.0719826
+0.072072
+0.0722276
+0.0724493
+0.0719677
+0.0700737
+0.068194
+0.0663303
+0.0644871
+0.0626664
+0.06087
+0.0591002
+0.0573595
+0.0556506
+0.0539765
+0.0523406
+0.0507466
+0.0491984
+0.0477006
+0.0462582
+0.0448763
+0.0435564
+0.0423081
+0.0411386
+0.0400549
+0.0390641
+0.0381734
+0.0373839
+0.036706
+0.0361458
+0.035703
+0.0353906
+0.0352119
+0.0351691
+0.0352626
+0.0352477
+0.0334058
+0.0316085
+0.0298637
+0.0281812
+0.026573
+0.0250532
+0.0236389
+0.0223503
+0.0212079
+0.0202041
+0.0193965
+0.0188107
+0.0184632
+0.0183673
+0.0185264
+0.0189287
+0.0195694
+0.0204261
+0.0214729
+0.0226721
+0.0239963
+0.0254406
+0.0269856
+0.028615
+0.0303152
+0.032075
+0.0332403
+0.034298
+0.0354596
+0.0367152
+0.0380557
+0.0394528
+0.0409158
+0.0424414
+0.0440232
+0.0456518
+0.0473217
+0.0490326
+0.0507803
+0.0525612
+0.0543715
+0.0562081
+0.0580691
+0.0599524
+0.0618559
+0.0637779
+0.0657167
+0.0777225
+0.0774239
+0.0771862
+0.0770102
+0.0768962
+0.0768446
+0.0764758
+0.0758794
+0.0753421
+0.074865
+0.0744494
+0.0740962
+0.0738064
+0.0735807
+0.0734196
+0.0733238
+0.0732933
+0.0733258
+0.0734135
+0.0735663
+0.0737839
+0.0721529
+0.070264
+0.0683894
+0.0665312
+0.0646938
+0.062879
+0.0610889
+0.0593257
+0.0575918
+0.05589
+0.0542233
+0.0525951
+0.0510089
+0.049469
+0.0479797
+0.0465458
+0.0451728
+0.0438618
+0.0426224
+0.0414618
+0.0403815
+0.0393909
+0.0384996
+0.0377146
+0.0370428
+0.0364903
+0.0360567
+0.0357474
+0.0355705
+0.0355281
+0.0356206
+0.0357284
+0.0339127
+0.0321437
+0.0304296
+0.0287802
+0.0272074
+0.0257251
+0.0243499
+0.023101
+0.0219976
+0.0210315
+0.020257
+0.0196967
+0.0193636
+0.0192721
+0.0194254
+0.0198095
+0.0204226
+0.0212449
+0.0222533
+0.0234125
+0.0246971
+0.0261026
+0.0276106
+0.0292051
+0.0308729
+0.0321648
+0.033112
+0.0341736
+0.0353383
+0.0365728
+0.0378939
+0.0392928
+0.0407614
+0.0422926
+0.0438778
+0.0455054
+0.0471787
+0.0488928
+0.0506437
+0.0524277
+0.0542414
+0.0560821
+0.0579472
+0.0598343
+0.0617415
+0.0636669
+0.065609
+0.0786432
+0.0783481
+0.0781133
+0.0779393
+0.0778267
+0.0777757
+0.0777863
+0.0772079
+0.0766799
+0.0762112
+0.0758029
+0.0754561
+0.0751715
+0.0749499
+0.0747918
+0.0746977
+0.0746678
+0.0747021
+0.0747948
+0.0749448
+0.0742861
+0.072404
+0.0705218
+0.0686543
+0.0668034
+0.0649737
+0.063167
+0.0613853
+0.0596308
+0.057906
+0.0562138
+0.054557
+0.052939
+0.0513635
+0.0498345
+0.0483564
+0.0469341
+0.0455728
+0.0442692
+0.0430342
+0.0418775
+0.0408057
+0.0398256
+0.0389443
+0.0381685
+0.0375047
+0.0369591
+0.0365312
+0.0362259
+0.0360514
+0.0360095
+0.0361008
+0.0363242
+0.0345512
+0.0328167
+0.0311396
+0.02953
+0.0279993
+0.0265612
+0.0252317
+0.0240286
+0.0229699
+0.0220464
+0.0213088
+0.0207769
+0.0204598
+0.0203733
+0.0205199
+0.0208838
+0.0214662
+0.02225
+0.0232148
+0.0243282
+0.0255668
+0.026927
+0.0283912
+0.0299442
+0.0312785
+0.0321316
+0.0330981
+0.034133
+0.0352739
+0.0365106
+0.0378339
+0.0392349
+0.0407056
+0.0422388
+0.043826
+0.0454555
+0.0471305
+0.0488463
+0.0505988
+0.0523843
+0.0541995
+0.0560416
+0.0579079
+0.0597963
+0.0617047
+0.0636312
+0.0655743
+0.0796136
+0.0793221
+0.0790901
+0.0789184
+0.0788071
+0.0787567
+0.0787672
+0.0785751
+0.0780563
+0.0775959
+0.0771949
+0.0768544
+0.076575
+0.0763575
+0.0762023
+0.0761099
+0.0760806
+0.0761142
+0.0762109
+0.0757646
+0.0742576
+0.0727193
+0.0708392
+0.0689773
+0.0671354
+0.065315
+0.063518
+0.0617464
+0.0600025
+0.0582887
+0.0566079
+0.054963
+0.0533573
+0.0517945
+0.0502786
+0.048814
+0.0474055
+0.0460566
+0.0447638
+0.0435429
+0.0424
+0.0413418
+0.0403747
+0.0395056
+0.0387411
+0.0380873
+0.0375502
+0.037129
+0.0368287
+0.036657
+0.0366159
+0.0367056
+0.0369254
+0.0353144
+0.0336192
+0.0319843
+0.0304193
+0.0289358
+0.0275466
+0.026267
+0.0251135
+0.0241025
+0.0232241
+0.0225251
+0.0220225
+0.0217224
+0.0216409
+0.0217803
+0.0221235
+0.0226741
+0.0234175
+0.024336
+0.0254004
+0.0265891
+0.0278995
+0.0293151
+0.0306717
+0.0313887
+0.0322389
+0.0331743
+0.034207
+0.0353454
+0.0365797
+0.0379006
+0.0392992
+0.0407676
+0.0422986
+0.0438836
+0.045511
+0.047184
+0.048898
+0.0506487
+0.0524325
+0.0542461
+0.0560866
+0.0579515
+0.0598385
+0.0617456
+0.0636709
+0.0656128
+0.0806318
+0.080344
+0.080115
+0.0799454
+0.0798357
+0.0797859
+0.0797962
+0.0798667
+0.0794692
+0.079017
+0.0786233
+0.078289
+0.0780148
+0.0778013
+0.077649
+0.0775583
+0.0775295
+0.0775626
+0.0773391
+0.0758001
+0.0742938
+0.0728223
+0.0712167
+0.0693651
+0.0675337
+0.0657243
+0.0639388
+0.0621792
+0.0604478
+0.058747
+0.0570797
+0.0554487
+0.0538576
+0.0523097
+0.0508092
+0.0493604
+0.0479678
+0.0466353
+0.0453589
+0.0441544
+0.0430279
+0.0419854
+0.0410336
+0.0401787
+0.0394272
+0.038785
+0.0382577
+0.0378444
+0.0375498
+0.0373815
+0.0373411
+0.0374291
+0.0376447
+0.0361942
+0.0345422
+0.0329531
+0.0314365
+0.0300032
+0.0286659
+0.0274385
+0.0263364
+0.0253741
+0.0245413
+0.0238808
+0.0234061
+0.0231239
+0.0230474
+0.0231786
+0.0235025
+0.0240215
+0.0247244
+0.0255961
+0.02661
+0.027747
+0.0290051
+0.0303408
+0.0309386
+0.0316505
+0.0324838
+0.0333944
+0.0344204
+0.035552
+0.0367794
+0.0380933
+0.0394851
+0.0409469
+0.0424714
+0.0440502
+0.0456716
+0.047339
+0.0490475
+0.0507931
+0.052572
+0.054381
+0.0562171
+0.0580778
+0.0599608
+0.0618641
+0.0637858
+0.0657244
+0.0816961
+0.081412
+0.0811861
+0.0810187
+0.0809104
+0.0808613
+0.0808715
+0.0809411
+0.0809168
+0.0804727
+0.0800862
+0.079758
+0.0794888
+0.0792793
+0.0791299
+0.0790409
+0.0790126
+0.0790037
+0.0774358
+0.0758987
+0.0743944
+0.072925
+0.0714117
+0.0698194
+0.0680002
+0.0662036
+0.0644314
+0.0626856
+0.0609686
+0.0592827
+0.0576309
+0.056016
+0.0544414
+0.0529107
+0.0514277
+0.0499968
+0.0486225
+0.0473083
+0.0460507
+0.0448648
+0.0437565
+0.0427318
+0.041797
+0.0409581
+0.0402211
+0.0395918
+0.0390753
+0.0386708
+0.0383826
+0.0382179
+0.0381784
+0.0382645
+0.0384754
+0.0371824
+0.0355764
+0.0340356
+0.0325694
+0.0311882
+0.0299039
+0.0287295
+0.0276788
+0.0267649
+0.0259767
+0.0253537
+0.0249058
+0.0246407
+0.024569
+0.0246921
+0.0249976
+0.0254862
+0.0261497
+0.0269754
+0.0279393
+0.0290243
+0.0302292
+0.0307169
+0.0313095
+0.0320226
+0.0328281
+0.0337346
+0.0347506
+0.0358718
+0.0370886
+0.0383919
+0.0397733
+0.0412248
+0.0427394
+0.0443106
+0.0459325
+0.0475944
+0.0492941
+0.0510312
+0.0528021
+0.0546035
+0.0564323
+0.0582862
+0.0601627
+0.0620598
+0.0639756
+0.0659086
+0.0828047
+0.0825244
+0.0823015
+0.0821365
+0.0820296
+0.0819812
+0.0819912
+0.0820598
+0.0821868
+0.0819612
+0.0815817
+0.0812595
+0.0809953
+0.0807897
+0.0806431
+0.0805558
+0.080528
+0.0791524
+0.0775898
+0.0760556
+0.0745543
+0.0730878
+0.0716095
+0.0700769
+0.0685337
+0.0667514
+0.0649941
+0.0632639
+0.0615629
+0.0598939
+0.0582594
+0.0566624
+0.0551063
+0.0535945
+0.052131
+0.0507199
+0.0493658
+0.0480719
+0.0468348
+0.0456692
+0.044581
+0.0435757
+0.0426593
+0.0418377
+0.0411166
+0.0405012
+0.0399964
+0.0395995
+0.0393181
+0.0391573
+0.0391188
+0.0392029
+0.0394087
+0.0382707
+0.0367123
+0.0352212
+0.0338065
+0.032478
+0.0312467
+0.0301246
+0.0291244
+0.028257
+0.0275118
+0.0269224
+0.0264983
+0.0262494
+0.026182
+0.0262976
+0.0265893
+0.0270491
+0.0276753
+0.0284567
+0.0293702
+0.0304041
+0.0307652
+0.0312035
+0.031787
+0.0324897
+0.0332839
+0.0342002
+0.0352078
+0.0363149
+0.0375174
+0.0388063
+0.0401734
+0.041611
+0.043112
+0.0446701
+0.0462794
+0.0479327
+0.0496243
+0.0513536
+0.053117
+0.0549112
+0.0567314
+0.0585758
+0.0604433
+0.0623319
+0.0642396
+0.0661649
+0.0839558
+0.0836794
+0.0834596
+0.0832968
+0.0831914
+0.0831437
+0.0831536
+0.0832212
+0.0833464
+0.0834805
+0.083108
+0.0827918
+0.0825325
+0.0823307
+0.0821868
+0.0821012
+0.0809371
+0.0793562
+0.0777977
+0.0762678
+0.0747707
+0.0733085
+0.0718734
+0.0703466
+0.0688522
+0.067366
+0.0656252
+0.063912
+0.0622288
+0.0605781
+0.0589626
+0.0573852
+0.0558492
+0.0543581
+0.0529157
+0.0515261
+0.0501937
+0.0489218
+0.0477067
+0.046563
+0.0454961
+0.0445115
+0.0436148
+0.0428115
+0.042107
+0.0415063
+0.0410125
+0.0406229
+0.0403485
+0.0401919
+0.0401544
+0.0402363
+0.0404368
+0.0394414
+0.0379311
+0.0364899
+0.0351263
+0.0338496
+0.0326701
+0.0315986
+0.0306465
+0.0298178
+0.0291063
+0.0285455
+0.0281446
+0.0279103
+0.027847
+0.0279557
+0.0282344
+0.0286783
+0.0292798
+0.0300208
+0.0308781
+0.0311234
+0.0314042
+0.0318337
+0.0324059
+0.0330954
+0.0338755
+0.0347762
+0.0357885
+0.0368831
+0.0380675
+0.0393385
+0.0406877
+0.0421077
+0.0435917
+0.0451332
+0.0467266
+0.0483646
+0.0500416
+0.051757
+0.0535071
+0.0552886
+0.0570985
+0.0589344
+0.0607937
+0.0626745
+0.0645748
+0.0664924
+0.0851477
+0.0848752
+0.0846585
+0.084498
+0.0843942
+0.0843471
+0.0843569
+0.0844235
+0.0845363
+0.0847052
+0.0846635
+0.0843531
+0.0840986
+0.0839006
+0.0837594
+0.0827942
+0.0811956
+0.0796198
+0.0780666
+0.076542
+0.0750504
+0.0735938
+0.0721743
+0.0706832
+0.0691961
+0.0677472
+0.0663226
+0.064628
+0.0629639
+0.061333
+0.0597378
+0.0581815
+0.0566671
+0.0551981
+0.0537783
+0.0524115
+0.0511022
+0.0498535
+0.0486616
+0.0475409
+0.0464965
+0.0455335
+0.0446573
+0.0438732
+0.043186
+0.0426005
+0.0421155
+0.0417362
+0.0414692
+0.0413168
+0.0412803
+0.04136
+0.0415551
+0.0406954
+0.0392334
+0.0378418
+0.0365287
+0.0353028
+0.0341735
+0.0331506
+0.0322444
+0.0314429
+0.030769
+0.0302391
+0.0298609
+0.0296402
+0.0295806
+0.0296829
+0.0299456
+0.0303645
+0.0309332
+0.0316436
+0.0317627
+0.0319056
+0.0321797
+0.0325989
+0.0331579
+0.0338324
+0.0345959
+0.0354783
+0.0364712
+0.0375657
+0.038734
+0.0399837
+0.0413119
+0.0427112
+0.0441749
+0.0456967
+0.0472711
+0.0488909
+0.0505504
+0.0522491
+0.0539832
+0.0557495
+0.057545
+0.059367
+0.0612132
+0.0630815
+0.0649699
+0.0668767
+0.0863788
+0.0861101
+0.0858965
+0.0857384
+0.085636
+0.0855896
+0.0855907
+0.0856455
+0.0857563
+0.0859229
+0.0861448
+0.0859385
+0.0856888
+0.0854944
+0.0847151
+0.0831047
+0.0815121
+0.0799426
+0.0783958
+0.0768778
+0.0753928
+0.073943
+0.0725303
+0.071074
+0.0696065
+0.0681663
+0.066767
+0.0654095
+0.0637658
+0.0621559
+0.0605825
+0.0590484
+0.0575568
+0.0561111
+0.054715
+0.0533722
+0.0520871
+0.0508625
+0.0496949
+0.048598
+0.0475767
+0.0466361
+0.045781
+0.0450164
+0.044347
+0.0437769
+0.0433014
+0.0429325
+0.042673
+0.0425249
+0.0424895
+0.0425669
+0.0427565
+0.0420262
+0.0406122
+0.0392695
+0.0380058
+0.036829
+0.035748
+0.0347715
+0.0339018
+0.0331332
+0.0324944
+0.0319931
+0.0316359
+0.0314276
+0.0313714
+0.0314679
+0.0317158
+0.0321116
+0.0326499
+0.0326454
+0.0326735
+0.0327955
+0.0330621
+0.0334703
+0.034015
+0.0346897
+0.0354373
+0.0362993
+0.0372702
+0.038342
+0.0395062
+0.0407367
+0.0420411
+0.0434169
+0.0448576
+0.046357
+0.0479097
+0.0495086
+0.0511481
+0.0528276
+0.0545433
+0.056292
+0.0580707
+0.0598768
+0.0617077
+0.0635614
+0.065436
+0.0673296
+0.0876473
+0.0873825
+0.0871721
+0.0870163
+0.0869088
+0.0868523
+0.0868512
+0.0869052
+0.0870144
+0.0871786
+0.0873973
+0.0875488
+0.0873037
+0.0867041
+0.0850749
+0.0834714
+0.081886
+0.0803238
+0.0787846
+0.0772742
+0.075797
+0.074355
+0.0729503
+0.0715285
+0.0700706
+0.0686402
+0.0672507
+0.0659047
+0.064605
+0.0630443
+0.0614936
+0.0599828
+0.058515
+0.0570936
+0.0557221
+0.0544042
+0.053144
+0.0519444
+0.0508016
+0.0497292
+0.0487316
+0.0478137
+0.0469801
+0.0462353
+0.0455838
+0.0450256
+0.0445634
+0.044205
+0.0439531
+0.0438093
+0.0437749
+0.04385
+0.0440341
+0.0434269
+0.04206
+0.040765
+0.039549
+0.0384196
+0.0373846
+0.0364519
+0.0356102
+0.0348792
+0.034273
+0.0337981
+0.0334601
+0.0332633
+0.0332102
+0.0333014
+0.0335357
+0.0339103
+0.03379
+0.0336785
+0.0336843
+0.0338035
+0.0340623
+0.0344586
+0.0349879
+0.0356442
+0.0363912
+0.0372312
+0.0381785
+0.0392254
+0.0403641
+0.0415775
+0.0428611
+0.0442141
+0.0456296
+0.0471045
+0.0486333
+0.0502112
+0.0518315
+0.0534896
+0.0551847
+0.0569138
+0.0586736
+0.0604616
+0.0622754
+0.0641127
+0.0659716
+0.0678503
+0.0889517
+0.0886908
+0.0884788
+0.0883148
+0.0882049
+0.0881493
+0.0881481
+0.0882014
+0.088309
+0.0884707
+0.0886863
+0.0889553
+0.0887568
+0.0871109
+0.0854894
+0.0838939
+0.0823165
+0.0807626
+0.079232
+0.0777303
+0.076262
+0.0748289
+0.0734333
+0.0720468
+0.0705996
+0.0691801
+0.0678017
+0.0664669
+0.0651784
+0.063939
+0.0624683
+0.0609816
+0.0595385
+0.0581421
+0.0567959
+0.0555035
+0.0542689
+0.0530947
+0.0519772
+0.0509295
+0.0499559
+0.0490609
+0.0482488
+0.047524
+0.0468903
+0.0463442
+0.0458953
+0.0455474
+0.0453029
+0.0451635
+0.0451301
+0.045203
+0.0453816
+0.0448908
+0.0435698
+0.0423211
+0.0411511
+0.0400669
+0.0390755
+0.038178
+0.0373689
+0.036673
+0.0360969
+0.0356463
+0.035326
+0.0351397
+0.0350894
+0.0351757
+0.0353977
+0.0351709
+0.0349266
+0.0348002
+0.0348033
+0.0349201
+0.0351706
+0.0355546
+0.0360678
+0.0367048
+0.037439
+0.0382659
+0.0391882
+0.0402088
+0.0413205
+0.0425066
+0.0437629
+0.0450907
+0.0464839
+0.0479334
+0.0494366
+0.0509897
+0.0525881
+0.054228
+0.0559047
+0.0576121
+0.0593513
+0.0611195
+0.0629143
+0.0647334
+0.066575
+0.0684371
+0.0902867
+0.0900203
+0.0898057
+0.0896441
+0.0895358
+0.089481
+0.0894799
+0.0895324
+0.0896384
+0.0897977
+0.0900101
+0.0902751
+0.0891985
+0.0875636
+0.0859516
+0.0843648
+0.0828028
+0.0812582
+0.0797372
+0.0782451
+0.0767866
+0.0753636
+0.0739781
+0.0726157
+0.0711921
+0.0697846
+0.0684184
+0.0670959
+0.0658197
+0.0645926
+0.0634175
+0.0620418
+0.0606239
+0.0592531
+0.0579327
+0.0566663
+0.0554575
+0.054309
+0.053217
+0.0521942
+0.0512447
+0.0503726
+0.049582
+0.0488769
+0.0482585
+0.0477271
+0.0472913
+0.0469537
+0.0467166
+0.0465814
+0.046549
+0.0466197
+0.0467929
+0.0464119
+0.0451355
+0.0439313
+0.0428054
+0.0417641
+0.040814
+0.0399438
+0.0391712
+0.0385079
+0.0379596
+0.0375314
+0.0372274
+0.0370506
+0.0370029
+0.0370848
+0.0367452
+0.0363798
+0.0361438
+0.0360176
+0.0360207
+0.036135
+0.0363772
+0.0367486
+0.0372454
+0.0378609
+0.0385687
+0.0393858
+0.0402919
+0.0412852
+0.0423687
+0.0435262
+0.0447539
+0.0460532
+0.0474181
+0.0488431
+0.0503225
+0.051849
+0.0534218
+0.0550368
+0.0566905
+0.0583795
+0.0601009
+0.0618479
+0.0636222
+0.0654217
+0.0672444
+0.0690885
+0.0916406
+0.0913773
+0.0911659
+0.0910067
+0.0909
+0.0908461
+0.090845
+0.0908966
+0.0910011
+0.091158
+0.0913672
+0.0913399
+0.0896906
+0.0880649
+0.0864623
+0.084885
+0.0833354
+0.0818095
+0.0802989
+0.0788175
+0.0773698
+0.0759577
+0.0745832
+0.0732372
+0.0718364
+0.0704521
+0.0690991
+0.0677898
+0.066527
+0.0653132
+0.0641513
+0.0630441
+0.0617679
+0.0604231
+0.0591288
+0.0578885
+0.0567058
+0.0555831
+0.0545167
+0.0535187
+0.0525931
+0.0517437
+0.0509744
+0.0502888
+0.0496846
+0.0491686
+0.0487457
+0.0484183
+0.0481884
+0.0480573
+0.048026
+0.0480944
+0.0482624
+0.0479849
+0.0467514
+0.0455899
+0.044506
+0.0435055
+0.0425884
+0.0417499
+0.0410113
+0.0403783
+0.0398557
+0.0394481
+0.039159
+0.0389909
+0.0389456
+0.0385044
+0.0380298
+0.0376769
+0.037449
+0.037324
+0.037327
+0.0374384
+0.0376723
+0.038031
+0.0385113
+0.0391014
+0.0397871
+0.0405796
+0.0414729
+0.0424421
+0.0434967
+0.0446301
+0.0458283
+0.0470979
+0.0484334
+0.0498294
+0.051281
+0.0527837
+0.0543311
+0.0559198
+0.0575481
+0.0592127
+0.0609106
+0.0626391
+0.0643958
+0.0661753
+0.0679778
+0.0698025
+0.0930256
+0.0927662
+0.0925579
+0.0924011
+0.0922961
+0.092243
+0.0922419
+0.0922928
+0.0923956
+0.0925502
+0.0927563
+0.0918728
+0.0902333
+0.0886175
+0.0870251
+0.0854582
+0.0839192
+0.0824097
+0.0809161
+0.0794462
+0.0780102
+0.0766099
+0.0752473
+0.0739127
+0.0725382
+0.0711808
+0.0698419
+0.0685468
+0.0672982
+0.0660985
+0.0649507
+0.0638574
+0.0628041
+0.0616487
+0.0603807
+0.0591667
+0.0580101
+0.0569131
+0.0558721
+0.0548987
+0.0539968
+0.0531698
+0.0524215
+0.0517537
+0.0511649
+0.0506639
+0.0502536
+0.0499361
+0.0497132
+0.0495862
+0.0495558
+0.0496221
+0.0497849
+0.0496048
+0.0484126
+0.0472919
+0.0462479
+0.0452858
+0.044395
+0.0435913
+0.0428844
+0.0422794
+0.0417807
+0.041392
+0.0411165
+0.0409565
+0.0404247
+0.0398527
+0.0393945
+0.0390539
+0.0388314
+0.0387104
+0.0387133
+0.0388162
+0.0390418
+0.0393881
+0.039852
+0.0404225
+0.0410862
+0.0418542
+0.0427208
+0.0436669
+0.0446926
+0.0458002
+0.0469803
+0.0482196
+0.0495248
+0.0508909
+0.0523131
+0.0537869
+0.0553083
+0.0568733
+0.0584751
+0.0601141
+0.0617872
+0.0634918
+0.0652255
+0.066986
+0.0687711
+0.0705774
+0.0944411
+0.0941856
+0.0939805
+0.093826
+0.0937226
+0.0936703
+0.0936692
+0.0937193
+0.0938206
+0.0939728
+0.0941065
+0.0924546
+0.0908255
+0.0892202
+0.0876378
+0.086082
+0.0845544
+0.0830565
+0.0815874
+0.0801299
+0.0787063
+0.0773186
+0.0759686
+0.0746346
+0.0732988
+0.0719584
+0.0706448
+0.0693648
+0.0681311
+0.0669464
+0.0658133
+0.0647346
+0.0636949
+0.0626895
+0.0616851
+0.0604972
+0.0593665
+0.0582951
+0.0572792
+0.0563302
+0.0554515
+0.0546466
+0.0539187
+0.0532666
+0.0526946
+0.0522084
+0.0518103
+0.0515024
+0.0512863
+0.0511631
+0.0511337
+0.051198
+0.0513558
+0.0512671
+0.0501145
+0.0490327
+0.0480265
+0.0470954
+0.0462348
+0.0454636
+0.0447864
+0.0442074
+0.0437306
+0.0433594
+0.0430965
+0.0424843
+0.0418259
+0.0412734
+0.0408311
+0.0405026
+0.0402851
+0.0401685
+0.0401671
+0.0402661
+0.0404836
+0.0408177
+0.0412655
+0.0418168
+0.0424587
+0.0432022
+0.0440423
+0.0449651
+0.0459618
+0.0470395
+0.0481928
+0.049413
+0.0506875
+0.0520231
+0.0534151
+0.0548594
+0.0563518
+0.0578886
+0.0594631
+0.0610755
+0.062723
+0.0644029
+0.0661127
+0.0678501
+0.0696131
+0.0713998
+0.0958857
+0.0956341
+0.0954321
+0.09528
+0.0951781
+0.0951266
+0.0951255
+0.0951749
+0.0952746
+0.0954246
+0.0947252
+0.0930825
+0.091462
+0.0898657
+0.0882948
+0.0867509
+0.0852353
+0.0837495
+0.0822953
+0.0808671
+0.0794568
+0.0780824
+0.0767334
+0.075413
+0.0741163
+0.072791
+0.071503
+0.0702386
+0.0690205
+0.0678514
+0.0667337
+0.06567
+0.0646476
+0.0636573
+0.0627279
+0.0618622
+0.0607717
+0.0597255
+0.0587343
+0.0578092
+0.0569533
+0.0561699
+0.0554617
+0.0548252
+0.0542697
+0.0537977
+0.0534114
+0.0531128
+0.0529033
+0.0527839
+0.0527554
+0.0528177
+0.0529707
+0.0529679
+0.0518531
+0.0508083
+0.049838
+0.0489318
+0.0481041
+0.0473633
+0.0467136
+0.0461588
+0.0457024
+0.0453474
+0.0446553
+0.0439292
+0.0432927
+0.0427591
+0.0423323
+0.0420156
+0.0418031
+0.0416908
+0.0416852
+0.0417806
+0.0419903
+0.0423124
+0.0427446
+0.043277
+0.0438976
+0.0446172
+0.0454311
+0.0463305
+0.0472985
+0.0483464
+0.0494692
+0.0506619
+0.0519166
+0.0532214
+0.0545829
+0.055997
+0.0574599
+0.0589678
+0.0605142
+0.0620993
+0.0637204
+0.0653746
+0.0670596
+0.0687732
+0.0705131
+0.0722776
+0.0973582
+0.0971104
+0.0969115
+0.0967617
+0.0966614
+0.0966107
+0.0966096
+0.0966582
+0.0967564
+0.0969041
+0.0953845
+0.0937526
+0.0921439
+0.0905596
+0.089001
+0.0874695
+0.0859665
+0.0844937
+0.0830525
+0.0816446
+0.08026
+0.0788932
+0.0775526
+0.0762464
+0.0749813
+0.0736793
+0.0724123
+0.0711662
+0.0699643
+0.0688112
+0.0677093
+0.0666613
+0.0656597
+0.0646849
+0.0637705
+0.0629191
+0.0621196
+0.0612008
+0.060234
+0.0593322
+0.0584987
+0.0577362
+0.0570446
+0.0564259
+0.0558862
+0.055428
+0.0550532
+0.0547635
+0.0545604
+0.0544446
+0.0544169
+0.0544774
+0.0546257
+0.0547035
+0.0536248
+0.0526152
+0.0516738
+0.0507963
+0.0499994
+0.0492871
+0.0486631
+0.0481308
+0.0476933
+0.046914
+0.046131
+0.0454337
+0.0448186
+0.0443034
+0.0438917
+0.0435862
+0.0433787
+0.0432704
+0.043261
+0.043353
+0.043555
+0.0438657
+0.0442827
+0.0447969
+0.0453966
+0.0460928
+0.0468812
+0.047757
+0.0486971
+0.0497155
+0.0508081
+0.0519701
+0.0531969
+0.0544814
+0.0558122
+0.0571959
+0.0586289
+0.0601075
+0.0616253
+0.0631826
+0.0647765
+0.0664045
+0.068064
+0.0697528
+0.0714689
+0.0732104
+0.0988573
+0.0986133
+0.0984174
+0.0982699
+0.0981712
+0.0981212
+0.0981202
+0.0981681
+0.0982647
+0.0977305
+0.0960885
+0.0944688
+0.0928724
+0.0913008
+0.089755
+0.0882366
+0.086747
+0.0852876
+0.08386
+0.082466
+0.0811062
+0.0797494
+0.0784245
+0.077133
+0.0758827
+0.0746214
+0.0733707
+0.0721485
+0.0709632
+0.0698266
+0.068741
+0.0677089
+0.066727
+0.0657694
+0.0648702
+0.0640238
+0.0632349
+0.0624693
+0.061772
+0.060896
+0.0600841
+0.0593421
+0.0586665
+0.0580651
+0.0575408
+0.0570959
+0.0567321
+0.056451
+0.0562539
+0.0561417
+0.0561149
+0.0561735
+0.0563173
+0.0564708
+0.0554265
+0.0544503
+0.0535324
+0.0526858
+0.051918
+0.0512324
+0.0506324
+0.050121
+0.0492608
+0.0484188
+0.0476605
+0.0469922
+0.0463978
+0.0459004
+0.045503
+0.0452085
+0.0450057
+0.0449014
+0.0448885
+0.0449771
+0.0451719
+0.0454715
+0.0458739
+0.0463704
+0.0469501
+0.0476236
+0.048387
+0.0492361
+0.0501524
+0.0511419
+0.0522046
+0.0533361
+0.0545323
+0.0557888
+0.0570991
+0.0584524
+0.0598553
+0.0613044
+0.0627932
+0.0643222
+0.0658886
+0.0674897
+0.0691232
+0.0707868
+0.0724784
+0.0741961
+0.100382
+0.100142
+0.0999486
+0.0998034
+0.0997062
+0.099657
+0.099656
+0.0997031
+0.0997983
+0.0984665
+0.0968369
+0.0952299
+0.0936466
+0.0920881
+0.0905558
+0.0890511
+0.0875753
+0.0861299
+0.0847166
+0.0833368
+0.0819924
+0.0806561
+0.0793473
+0.078071
+0.0768361
+0.0756153
+0.0743813
+0.0731831
+0.0720149
+0.0708951
+0.0698262
+0.0688053
+0.0678368
+0.0669056
+0.0660184
+0.065181
+0.0644005
+0.0636489
+0.0629647
+0.0623499
+0.0617066
+0.0609801
+0.0603223
+0.0597375
+0.0592281
+0.0587959
+0.0584427
+0.0581699
+0.0579787
+0.0578698
+0.0578437
+0.0579006
+0.0580402
+0.0582618
+0.0572553
+0.056306
+0.0554153
+0.0545979
+0.0538574
+0.0531968
+0.0525455
+0.0516839
+0.0507906
+0.0499743
+0.04924
+0.0485934
+0.0480236
+0.0475432
+0.0471597
+0.0468756
+0.0466789
+0.0465783
+0.0465621
+0.0466475
+0.0468354
+0.0471244
+0.0475128
+0.0479924
+0.0485527
+0.0492043
+0.0499435
+0.0507666
+0.0516596
+0.0526207
+0.0536542
+0.0547558
+0.0559216
+0.0571476
+0.05843
+0.0597614
+0.0611356
+0.062555
+0.0640148
+0.0655153
+0.0670538
+0.0686278
+0.0702348
+0.0718726
+0.0735393
+0.0752328
+0.101931
+0.101694
+0.101504
+0.101361
+0.101265
+0.101217
+0.101216
+0.101262
+0.100882
+0.0992436
+0.097627
+0.0960332
+0.0944633
+0.0929185
+0.0914002
+0.0899096
+0.0884481
+0.0870172
+0.0856185
+0.0842536
+0.082924
+0.0816115
+0.0803192
+0.0790587
+0.0778394
+0.0766589
+0.0754419
+0.074268
+0.0731171
+0.0720145
+0.0709582
+0.0699508
+0.0689983
+0.068083
+0.0672127
+0.0663905
+0.0656168
+0.0648793
+0.0642082
+0.0636055
+0.0630731
+0.0626109
+0.0620018
+0.061433
+0.0609377
+0.0605178
+0.0601747
+0.0599098
+0.0597241
+0.0596184
+0.0595931
+0.0596483
+0.0597838
+0.059999
+0.0591087
+0.0581816
+0.0573002
+0.056395
+0.0555616
+0.054803
+0.0541226
+0.0532342
+0.0523673
+0.051576
+0.0508648
+0.0502392
+0.0496883
+0.0492241
+0.0488538
+0.0485795
+0.0483934
+0.0482941
+0.0482771
+0.0483595
+0.0485408
+0.0488197
+0.0491947
+0.0496581
+0.0501998
+0.0508302
+0.0515462
+0.052344
+0.0532112
+0.0541448
+0.0551497
+0.056222
+0.057358
+0.058554
+0.0598062
+0.0611071
+0.0624528
+0.0638453
+0.0652817
+0.0667585
+0.0682695
+0.069816
+0.0713963
+0.0730081
+0.0746494
+0.0763183
+0.103503
+0.10327
+0.103083
+0.102942
+0.102848
+0.1028
+0.102799
+0.102845
+0.101686
+0.100061
+0.0984581
+0.096878
+0.095322
+0.0937914
+0.0922874
+0.0908113
+0.0893646
+0.0879487
+0.086565
+0.0852152
+0.0839009
+0.082614
+0.0813386
+0.0800941
+0.0788908
+0.0777306
+0.0765506
+0.0753956
+0.0742676
+0.0731788
+0.0721359
+0.0711453
+0.070209
+0.0693097
+0.0684558
+0.0676492
+0.0668769
+0.0661535
+0.0654954
+0.0649047
+0.064383
+0.0639281
+0.063535
+0.063159
+0.0626773
+0.0622691
+0.0619357
+0.0616784
+0.061498
+0.0613954
+0.0613708
+0.0614244
+0.061556
+0.0617651
+0.0607295
+0.0597365
+0.0588059
+0.0579406
+0.0571394
+0.0564021
+0.0557411
+0.0548282
+0.0539869
+0.0532197
+0.0525308
+0.0519252
+0.0513924
+0.0509437
+0.050586
+0.0503212
+0.0501451
+0.0500457
+0.0500293
+0.0501088
+0.0502838
+0.0505531
+0.0509154
+0.0513632
+0.0518871
+0.0524973
+0.0531908
+0.0539643
+0.0548059
+0.0557128
+0.0566899
+0.0577336
+0.0588404
+0.0600068
+0.0612294
+0.0625006
+0.063817
+0.0651803
+0.0665879
+0.0680369
+0.0695247
+0.0710486
+0.072602
+0.0741876
+0.0758034
+0.0774474
+0.105097
+0.104867
+0.104683
+0.104545
+0.104452
+0.104405
+0.104404
+0.104164
+0.102531
+0.10092
+0.0993306
+0.0977645
+0.0962229
+0.0947069
+0.0932176
+0.0917565
+0.090325
+0.0889243
+0.0875561
+0.0862218
+0.084923
+0.0836615
+0.0824003
+0.0811721
+0.079985
+0.0788409
+0.0777052
+0.0765676
+0.0754613
+0.074386
+0.0733603
+0.0723863
+0.0714663
+0.0705831
+0.069745
+0.0689538
+0.0681821
+0.0674727
+0.0668276
+0.0662487
+0.0657377
+0.0652922
+0.0649074
+0.0645947
+0.064355
+0.0640475
+0.0637234
+0.0634733
+0.0632981
+0.0631984
+0.0631745
+0.0632266
+0.0633544
+0.0632249
+0.0622087
+0.0612396
+0.0603308
+0.0594876
+0.0587141
+0.058001
+0.0573262
+0.0564622
+0.0556456
+0.0549016
+0.054234
+0.0536477
+0.0531321
+0.0526983
+0.0523526
+0.0520968
+0.05193
+0.0518303
+0.0518145
+0.0518913
+0.0520602
+0.0523204
+0.0526705
+0.0530999
+0.0536069
+0.0541977
+0.0548697
+0.0556199
+0.0564405
+0.0573216
+0.0582717
+0.0592876
+0.0603659
+0.0615034
+0.0626968
+0.0639389
+0.0652262
+0.0665607
+0.0679397
+0.0693604
+0.0708204
+0.0723173
+0.0738489
+0.0754091
+0.0769992
+0.0786182
+0.106712
+0.106486
+0.106305
+0.106168
+0.106077
+0.106031
+0.10603
+0.105035
+0.103416
+0.101818
+0.100243
+0.0986918
+0.0971649
+0.0956637
+0.0941897
+0.0927439
+0.0913278
+0.0899427
+0.0885902
+0.0872717
+0.0859889
+0.0847432
+0.0834983
+0.0822865
+0.0811157
+0.0799879
+0.0788958
+0.0777738
+0.0766878
+0.0756373
+0.0746288
+0.0736717
+0.0727679
+0.0719006
+0.0710781
+0.0702887
+0.0695318
+0.0688363
+0.0682041
+0.067637
+0.0671366
+0.0667004
+0.0663238
+0.0660178
+0.0657833
+0.0656212
+0.0655292
+0.0652924
+0.0651221
+0.0650251
+0.0650019
+0.0650526
+0.0651768
+0.0647234
+0.0637288
+0.0627829
+0.0618956
+0.0610741
+0.0603209
+0.0595974
+0.0589409
+0.0581328
+0.0573401
+0.0566183
+0.0559712
+0.0554033
+0.0549042
+0.0544845
+0.0541501
+0.0539029
+0.0537392
+0.0536361
+0.0536208
+0.053695
+0.0538583
+0.0541098
+0.0544484
+0.0548676
+0.0553584
+0.0559307
+0.0565822
+0.05731
+0.0581113
+0.0589679
+0.0598919
+0.0608808
+0.0619313
+0.0630406
+0.0642054
+0.0654189
+0.0666776
+0.0679836
+0.0693343
+0.070727
+0.0721594
+0.0736291
+0.075134
+0.0766718
+0.0782381
+0.079832
+0.108348
+0.108125
+0.107946
+0.107812
+0.107722
+0.107677
+0.107569
+0.105944
+0.104339
+0.102756
+0.101195
+0.0996586
+0.0981467
+0.0966608
+0.0952022
+0.093772
+0.0923717
+0.0910025
+0.089666
+0.0883636
+0.0870968
+0.0858651
+0.0846388
+0.0834436
+0.0822893
+0.0811777
+0.0801106
+0.0790205
+0.077952
+0.0769307
+0.0759394
+0.074999
+0.0741114
+0.07326
+0.0724529
+0.0716657
+0.0709235
+0.0702418
+0.0696224
+0.0690669
+0.0685769
+0.06815
+0.0677814
+0.067482
+0.0672526
+0.067094
+0.0670041
+0.0669746
+0.066968
+0.0668738
+0.0668512
+0.0669004
+0.0670213
+0.0662564
+0.0652835
+0.0643626
+0.0634974
+0.0626969
+0.0619375
+0.0612306
+0.0605917
+0.059837
+0.0590671
+0.0583667
+0.0577393
+0.0571889
+0.0567055
+0.0562992
+0.0559757
+0.0557366
+0.0555702
+0.0554692
+0.0554544
+0.0555262
+0.0556841
+0.0559274
+0.0562551
+0.0566648
+0.0571402
+0.0576949
+0.0583266
+0.0590329
+0.0598112
+0.0606486
+0.0615474
+0.0625101
+0.0635337
+0.0646155
+0.0657524
+0.0669378
+0.0681685
+0.0694465
+0.0707693
+0.0721343
+0.0735393
+0.0749819
+0.0764602
+0.0779719
+0.0795153
+0.0810867
+0.0914505
+0.0895534
+0.08767
+0.0858013
+0.083948
+0.0821114
+0.0802926
+0.0784928
+0.0767132
+0.0749555
+0.0732179
+0.0715048
+0.0698184
+0.0681606
+0.0665337
+0.06494
+0.0633819
+0.0618621
+0.0603836
+0.0589494
+0.0575605
+0.0562134
+0.0549207
+0.0536862
+0.0525142
+0.0514088
+0.0503745
+0.0494157
+0.048537
+0.0477426
+0.0470369
+0.046424
+0.0459076
+0.0454908
+0.0451567
+0.0449264
+0.0448021
+0.0447848
+0.0448745
+0.0450707
+0.0453719
+0.0457761
+0.0462805
+0.046882
+0.0475769
+0.0483611
+0.0492303
+0.0501648
+0.0511753
+0.0522582
+0.053409
+0.0546235
+0.0558974
+0.0572269
+0.0586075
+0.060035
+0.0615074
+0.0630215
+0.0645745
+0.0661636
+0.0677862
+0.06944
+0.0711228
+0.0728327
+0.0745677
+0.0763262
+0.0781065
+0.0799072
+0.081727
+0.0835645
+0.0854187
+0.0872886
+0.088909
+0.0904953
+0.0921063
+0.0937408
+0.0953976
+0.0970756
+0.0987737
+0.100438
+0.102109
+0.103799
+0.104547
+0.104937
+0.105371
+0.105842
+0.106353
+0.106868
+0.107421
+0.108016
+0.108651
+0.109321
+0.110028
+0.110767
+0.111542
+0.112355
+0.113203
+0.114054
+0.114925
+0.115831
+0.0905342
+0.0886175
+0.0867138
+0.084824
+0.0829489
+0.0810897
+0.0792474
+0.0774233
+0.0756186
+0.0738348
+0.0720735
+0.0703349
+0.0686198
+0.0669324
+0.0652748
+0.0636496
+0.0620591
+0.0605061
+0.0589936
+0.0575248
+0.0561031
+0.0547289
+0.0534002
+0.0521298
+0.0509219
+0.0497812
+0.0487124
+0.0477202
+0.0468096
+0.0459854
+0.0452524
+0.0446149
+0.0440773
+0.0436431
+0.0433052
+0.0430649
+0.0429353
+0.0429172
+0.0430108
+0.0432155
+0.0435295
+0.0439506
+0.0444758
+0.0451014
+0.0458232
+0.0466369
+0.0475355
+0.0485018
+0.0495463
+0.050664
+0.0518502
+0.0531003
+0.05441
+0.055775
+0.0571906
+0.0586526
+0.0601588
+0.0617061
+0.0632913
+0.0649118
+0.0665649
+0.0682484
+0.0699599
+0.0716975
+0.0734593
+0.0752437
+0.077049
+0.0788739
+0.0807169
+0.082577
+0.0844529
+0.0861356
+0.0877173
+0.0893247
+0.0909565
+0.0926113
+0.094288
+0.0959854
+0.0976492
+0.0993191
+0.101009
+0.102717
+0.103302
+0.103697
+0.104135
+0.10461
+0.105127
+0.105688
+0.106291
+0.106915
+0.107558
+0.10824
+0.108961
+0.109709
+0.110494
+0.111315
+0.112172
+0.113046
+0.113925
+0.114833
+0.0896621
+0.0877264
+0.0858029
+0.0838925
+0.0819962
+0.0801149
+0.0782496
+0.0764017
+0.0745723
+0.0727629
+0.0709749
+0.0692102
+0.0674703
+0.0657541
+0.0640661
+0.0624094
+0.0607865
+0.0592001
+0.0576534
+0.0561495
+0.0546921
+0.0532848
+0.0519277
+0.0506203
+0.0493756
+0.0481983
+0.0470935
+0.0460665
+0.0451225
+0.0442669
+0.0435049
+0.0428415
+0.0422813
+0.0418285
+0.0414833
+0.0412324
+0.041097
+0.0410781
+0.0411759
+0.0413896
+0.0417174
+0.0421566
+0.0427039
+0.043355
+0.0441055
+0.0449503
+0.0458818
+0.0468823
+0.0479621
+0.0491158
+0.0503385
+0.0516253
+0.0529714
+0.0543725
+0.0558238
+0.0573206
+0.0588609
+0.0604414
+0.062059
+0.0637108
+0.0653943
+0.0671071
+0.068847
+0.070612
+0.0724002
+0.0742101
+0.0760399
+0.0778885
+0.0797543
+0.0816363
+0.0833851
+0.0849615
+0.0865647
+0.0881931
+0.0898454
+0.0915203
+0.0932166
+0.0948797
+0.0965478
+0.0982364
+0.0999445
+0.101671
+0.10209
+0.102489
+0.102929
+0.103409
+0.103933
+0.1045
+0.10511
+0.105761
+0.106454
+0.107187
+0.107917
+0.108679
+0.109472
+0.110303
+0.111171
+0.112072
+0.112951
+0.113865
+0.0888355
+0.0868814
+0.0849387
+0.0830085
+0.0810915
+0.0791887
+0.0773011
+0.0754299
+0.0735763
+0.0717418
+0.0699278
+0.0681359
+0.0663679
+0.0646258
+0.0629105
+0.0612225
+0.0595673
+0.0579475
+0.0563664
+0.0548273
+0.0533337
+0.0518897
+0.0504994
+0.0491622
+0.0478795
+0.0466645
+0.0455225
+0.0444592
+0.0434804
+0.0425918
+0.0417993
+0.0411083
+0.0405242
+0.0400515
+0.0396942
+0.0394365
+0.0392948
+0.0392751
+0.0393774
+0.0396008
+0.0399433
+0.0404018
+0.0409725
+0.0416507
+0.0424313
+0.0433088
+0.0442749
+0.0453109
+0.0464272
+0.0476181
+0.0488783
+0.0502025
+0.0515858
+0.0530235
+0.0545107
+0.0560426
+0.0576171
+0.0592308
+0.0608805
+0.0625635
+0.064277
+0.0660188
+0.0677867
+0.0695785
+0.0713927
+0.0732274
+0.0750813
+0.0769528
+0.0788408
+0.0806598
+0.0822301
+0.0838282
+0.0854526
+0.0871018
+0.0887744
+0.0904692
+0.0921312
+0.093797
+0.095484
+0.0971911
+0.0989172
+0.100552
+0.10091
+0.101314
+0.101756
+0.102242
+0.102771
+0.103345
+0.103961
+0.10462
+0.10532
+0.106061
+0.106842
+0.107661
+0.108482
+0.109322
+0.110183
+0.110983
+0.111821
+0.112693
+0.0880532
+0.0860838
+0.0841228
+0.0821733
+0.0802364
+0.0783128
+0.0764036
+0.0745098
+0.0726328
+0.0707738
+0.0689343
+0.0671159
+0.0653203
+0.0635496
+0.0618057
+0.0600911
+0.0584048
+0.0567519
+0.0551366
+0.0535621
+0.0520322
+0.050551
+0.0491228
+0.0477525
+0.0464386
+0.0451849
+0.0440045
+0.0429036
+0.0418884
+0.0409653
+0.0401407
+0.0394207
+0.0388112
+0.0383174
+0.0379438
+0.0376823
+0.037534
+0.0375134
+0.0376204
+0.0378542
+0.0382124
+0.0386914
+0.0392869
+0.0399938
+0.0408061
+0.0417177
+0.0427199
+0.0437926
+0.0449467
+0.0461758
+0.0474743
+0.0488366
+0.0502575
+0.0517321
+0.0532554
+0.0548224
+0.0564309
+0.0580776
+0.0597592
+0.0614728
+0.0632159
+0.0649862
+0.0667814
+0.0685995
+0.0704389
+0.0722978
+0.0741749
+0.0760687
+0.0779613
+0.0795256
+0.0811178
+0.0827374
+0.0843828
+0.0860525
+0.0877451
+0.0894056
+0.0910686
+0.0927534
+0.094459
+0.0961843
+0.0979282
+0.0993865
+0.0997577
+0.100169
+0.100617
+0.101108
+0.101644
+0.102224
+0.102847
+0.103513
+0.10422
+0.104969
+0.105757
+0.106585
+0.107439
+0.108227
+0.108998
+0.109807
+0.110654
+0.111528
+0.0873047
+0.0853222
+0.0833501
+0.0813886
+0.0794325
+0.0774889
+0.0755589
+0.0736435
+0.0717438
+0.0698611
+0.0679969
+0.0661528
+0.0643303
+0.0625315
+0.0607585
+0.0590135
+0.0572991
+0.0556169
+0.0539676
+0.052358
+0.0507918
+0.0492733
+0.047807
+0.0463979
+0.0450488
+0.0437552
+0.0425352
+0.0413953
+0.0403421
+0.0393828
+0.0385244
+0.0377736
+0.037137
+0.0366206
+0.0362295
+0.0359679
+0.0358207
+0.035799
+0.0359112
+0.0361561
+0.0365309
+0.0370317
+0.0376535
+0.0383904
+0.0392359
+0.0401832
+0.0412226
+0.0423334
+0.0435261
+0.0447943
+0.0461317
+0.0475324
+0.0489912
+0.0505028
+0.052062
+0.0536639
+0.0553061
+0.0569853
+0.0586982
+0.0604419
+0.0622139
+0.0640119
+0.0658337
+0.0676773
+0.069541
+0.0714234
+0.0733228
+0.0752381
+0.0768496
+0.0784361
+0.08005
+0.0816908
+0.0833568
+0.0850467
+0.086705
+0.0883644
+0.0900466
+0.0917502
+0.0934742
+0.0952173
+0.0969725
+0.0982527
+0.0986282
+0.0990442
+0.0995039
+0.100009
+0.100551
+0.101137
+0.101767
+0.10244
+0.103155
+0.103911
+0.104707
+0.105473
+0.106266
+0.107041
+0.107812
+0.108622
+0.109469
+0.110345
+0.0866052
+0.0846063
+0.082617
+0.0806383
+0.0786707
+0.0767132
+0.0747631
+0.0728268
+0.0709052
+0.0689997
+0.0671116
+0.0652424
+0.0633938
+0.0615676
+0.059766
+0.0579911
+0.0562456
+0.0545322
+0.052854
+0.0512147
+0.0496168
+0.0480616
+0.0465572
+0.045109
+0.0437201
+0.0423861
+0.0411255
+0.0399453
+0.0388529
+0.0378559
+0.0369619
+0.0361787
+0.0355136
+0.0349732
+0.0345635
+0.0342892
+0.0341534
+0.0341392
+0.0342569
+0.0345134
+0.0349059
+0.0354297
+0.0360791
+0.0368475
+0.0377276
+0.0387118
+0.0397897
+0.0409394
+0.0421715
+0.0434792
+0.0448559
+0.0462952
+0.0477917
+0.0493401
+0.050935
+0.0525712
+0.0542465
+0.0559575
+0.0577009
+0.0594739
+0.0612739
+0.0630987
+0.064946
+0.0668141
+0.0687013
+0.070606
+0.0725269
+0.0742065
+0.075785
+0.0773933
+0.0790285
+0.0806901
+0.0823764
+0.0840318
+0.085687
+0.0873658
+0.0890668
+0.0907889
+0.0924558
+0.0939132
+0.0953987
+0.0969109
+0.0975348
+0.0979555
+0.0984202
+0.0989313
+0.099488
+0.100087
+0.100724
+0.101403
+0.102126
+0.102806
+0.103513
+0.10426
+0.105049
+0.10586
+0.106639
+0.107454
+0.108292
+0.109139
+0.0859558
+0.0839414
+0.0819361
+0.0799404
+0.0779553
+0.0759814
+0.0740197
+0.0720662
+0.0701238
+0.0681964
+0.0662855
+0.0643923
+0.0625186
+0.0606661
+0.0588368
+0.057033
+0.0552572
+0.0535122
+0.0518011
+0.0501272
+0.0484946
+0.0469075
+0.0453672
+0.0438815
+0.0424569
+0.0410881
+0.0397864
+0.0385653
+0.0374327
+0.0363968
+0.0354661
+0.0346491
+0.033954
+0.0333884
+0.032959
+0.0326712
+0.0325286
+0.0325333
+0.0326657
+0.0329347
+0.0333457
+0.0338936
+0.0345719
+0.035373
+0.0362889
+0.0373111
+0.0384283
+0.0396175
+0.0408895
+0.0422369
+0.0436528
+0.0451305
+0.0466644
+0.048249
+0.0498787
+0.0515485
+0.053256
+0.0549978
+0.0567707
+0.0585718
+0.0603987
+0.0622491
+0.064121
+0.0660125
+0.0679219
+0.0698479
+0.0715999
+0.0731691
+0.0747695
+0.0763992
+0.0780552
+0.079737
+0.0813887
+0.0830388
+0.0847135
+0.0864112
+0.0879799
+0.0894029
+0.0908565
+0.0923392
+0.0938496
+0.0953864
+0.0964722
+0.096904
+0.0973738
+0.0978903
+0.0984529
+0.0990608
+0.0997047
+0.10029
+0.100919
+0.101591
+0.102306
+0.103063
+0.10386
+0.104652
+0.105405
+0.106183
+0.106998
+0.10785
+0.0853577
+0.0833289
+0.0813084
+0.079297
+0.0772953
+0.0753041
+0.0733244
+0.0713569
+0.0694028
+0.0674548
+0.0655222
+0.0636063
+0.0617087
+0.0598312
+0.0579756
+0.0561442
+0.0543393
+0.0525638
+0.0508207
+0.0491135
+0.047446
+0.0458226
+0.0442446
+0.0427199
+0.0412551
+0.0398571
+0.0385255
+0.0372631
+0.0360896
+0.035014
+0.0340455
+0.0331936
+0.0324673
+0.0318754
+0.0314253
+0.0311233
+0.0309737
+0.0309786
+0.031138
+0.0314294
+0.0318598
+0.0324328
+0.033141
+0.033976
+0.0349285
+0.0359894
+0.0371463
+0.0383753
+0.0396871
+0.041074
+0.0425285
+0.044044
+0.0456145
+0.0472343
+0.0488978
+0.0506
+0.0523385
+0.0541098
+0.0559108
+0.0577388
+0.0595913
+0.061466
+0.063361
+0.0652745
+0.0672049
+0.069034
+0.0705921
+0.0721832
+0.073805
+0.0754555
+0.0771318
+0.0787788
+0.0804228
+0.0820924
+0.0835514
+0.0849357
+0.0863533
+0.0878027
+0.0892824
+0.0907908
+0.0923265
+0.0938883
+0.0954452
+0.0958817
+0.0963643
+0.0968877
+0.0974365
+0.0979382
+0.0984848
+0.0990769
+0.0997136
+0.100394
+0.101118
+0.101883
+0.102671
+0.103374
+0.104119
+0.104903
+0.105728
+0.106591
+0.0848113
+0.0827698
+0.0807353
+0.0787093
+0.0766923
+0.074685
+0.0726884
+0.0707032
+0.0687306
+0.0667715
+0.064824
+0.0628869
+0.0609669
+0.0590658
+0.0571853
+0.0553278
+0.0534954
+0.0516909
+0.0499174
+0.0481782
+0.0464771
+0.0448186
+0.0432039
+0.0416411
+0.0401371
+0.0386986
+0.0373334
+0.0360451
+0.0348306
+0.0337148
+0.0327079
+0.0318201
+0.0310618
+0.0304425
+0.029971
+0.0296541
+0.029497
+0.0295022
+0.0296696
+0.0299876
+0.0304384
+0.0310377
+0.031777
+0.0326468
+0.033637
+0.0347374
+0.0359377
+0.0372206
+0.0385717
+0.0399973
+0.0414896
+0.0430417
+0.0446474
+0.0463011
+0.047997
+0.0497299
+0.0514978
+0.0532971
+0.0551247
+0.0569779
+0.0588543
+0.0607518
+0.0626684
+0.0646024
+0.0665133
+0.0680587
+0.0696387
+0.0712511
+0.0728936
+0.0745643
+0.0762051
+0.0778422
+0.0791783
+0.0805186
+0.0818955
+0.0833073
+0.0847522
+0.0862285
+0.0877347
+0.0892693
+0.0908307
+0.0924177
+0.094029
+0.0948507
+0.0952621
+0.0957219
+0.0962188
+0.0967295
+0.097283
+0.0978823
+0.0985268
+0.0992154
+0.0999473
+0.100722
+0.101395
+0.102107
+0.10286
+0.103655
+0.104489
+0.105361
+0.0843149
+0.0822646
+0.080218
+0.0781786
+0.0761475
+0.0741255
+0.0721134
+0.0701119
+0.0681222
+0.0661451
+0.0641819
+0.0622338
+0.0602956
+0.0583726
+0.0564691
+0.0545871
+0.052729
+0.0508974
+0.0490952
+0.0473258
+0.0455929
+0.0439011
+0.0422513
+0.0406519
+0.0391098
+0.0376321
+0.0362267
+0.0349023
+0.0336653
+0.0325096
+0.0314641
+0.0305403
+0.0297493
+0.0291021
+0.0286085
+0.0282764
+0.0281116
+0.028117
+0.0282926
+0.0286305
+0.0291024
+0.0297286
+0.0304997
+0.0314049
+0.032433
+0.0335728
+0.0348133
+0.0361365
+0.0375311
+0.0389989
+0.040532
+0.0421233
+0.0437665
+0.0454527
+0.0471774
+0.0489394
+0.0507348
+0.0525602
+0.0544126
+0.0562893
+0.0581879
+0.0601064
+0.0620429
+0.0639958
+0.0655738
+0.0671408
+0.0687419
+0.0703748
+0.0720373
+0.0736229
+0.0748704
+0.0761604
+0.0774909
+0.0788598
+0.0802652
+0.0817052
+0.0831779
+0.0846817
+0.0862149
+0.087776
+0.0893636
+0.0909762
+0.0926126
+0.0936605
+0.0940772
+0.0945428
+0.0950361
+0.0955531
+0.0961133
+0.0967199
+0.0973721
+0.0980688
+0.0988092
+0.0994718
+0.100149
+0.10087
+0.101633
+0.102437
+0.103281
+0.104158
+0.0838727
+0.0818115
+0.0797569
+0.077706
+0.0756622
+0.0736269
+0.0716008
+0.0695846
+0.0675793
+0.0655859
+0.0636054
+0.0616392
+0.0596886
+0.0577542
+0.0558297
+0.0539254
+0.0520437
+0.050187
+0.0483584
+0.0465609
+0.0447985
+0.0430755
+0.0413929
+0.0397589
+0.0381808
+0.0366656
+0.0352217
+0.033858
+0.0325846
+0.0314111
+0.0303278
+0.0293682
+0.0285448
+0.0278696
+0.0273537
+0.0270062
+0.0268336
+0.0268393
+0.0270232
+0.0273816
+0.0278747
+0.0285279
+0.0293305
+0.0302707
+0.0313361
+0.0325144
+0.0337938
+0.0351553
+0.0365873
+0.0380915
+0.0396598
+0.0412847
+0.0429599
+0.0446798
+0.0464393
+0.0482288
+0.0500497
+0.0518992
+0.0537744
+0.0556726
+0.0575915
+0.0595292
+0.061484
+0.0631431
+0.0646948
+0.0662826
+0.0679039
+0.0694422
+0.0706393
+0.0718719
+0.0731492
+0.074469
+0.0758292
+0.0772276
+0.0786622
+0.0801309
+0.0816321
+0.0831638
+0.0847245
+0.0863126
+0.0879266
+0.0895651
+0.0912267
+0.0924596
+0.0929019
+0.0933935
+0.0938895
+0.0944128
+0.0949798
+0.0955936
+0.0962533
+0.0969581
+0.0976031
+0.0982448
+0.0989308
+0.0996603
+0.100432
+0.101246
+0.1021
+0.102987
+0.0834857
+0.0814146
+0.07935
+0.0772921
+0.0752377
+0.0731906
+0.071152
+0.0691227
+0.0671036
+0.0650956
+0.0630998
+0.0611173
+0.0591494
+0.0571978
+0.0552642
+0.0533455
+0.0514425
+0.0495634
+0.0477108
+0.045888
+0.0440988
+0.0423472
+0.0406345
+0.0389687
+0.0373572
+0.0358073
+0.0343272
+0.0329265
+0.0316156
+0.0304062
+0.0293109
+0.0283173
+0.0274624
+0.02676
+0.0262223
+0.0258596
+0.0256793
+0.0256852
+0.0258773
+0.0262514
+0.0267703
+0.0274498
+0.028283
+0.0292569
+0.0303579
+0.0315727
+0.0328887
+0.0342862
+0.035753
+0.0372909
+0.0388914
+0.0405472
+0.0422517
+0.0439992
+0.0457849
+0.047599
+0.0494431
+0.0513145
+0.0532103
+0.0551279
+0.0570652
+0.0590202
+0.0607731
+0.0623068
+0.0638789
+0.0653535
+0.0664814
+0.0676615
+0.0688822
+0.0701455
+0.0714537
+0.0728043
+0.074195
+0.0756236
+0.077088
+0.0785862
+0.0801163
+0.0816765
+0.0832651
+0.0848805
+0.0865212
+0.0881858
+0.0898729
+0.0912214
+0.0916697
+0.0921678
+0.0927151
+0.0932637
+0.0938574
+0.0944981
+0.0951719
+0.0957982
+0.0964021
+0.0970517
+0.0977461
+0.0984844
+0.0992655
+0.100088
+0.100952
+0.101849
+0.0831546
+0.081075
+0.0790015
+0.0769345
+0.0748743
+0.0728175
+0.0707682
+0.0687276
+0.0666965
+0.0646759
+0.0626667
+0.06067
+0.0586872
+0.0567197
+0.0547691
+0.0528374
+0.0509266
+0.0490298
+0.0471562
+0.0453112
+0.0434982
+0.0417214
+0.0399818
+0.0382877
+0.0366463
+0.0350649
+0.0335521
+0.0321176
+0.0307723
+0.0295284
+0.0283992
+0.0273852
+0.0265003
+0.0257716
+0.0252128
+0.0248354
+0.0246476
+0.0246538
+0.0248538
+0.0252431
+0.0257873
+0.026492
+0.0273544
+0.0283602
+0.0294947
+0.0307436
+0.0320937
+0.0335326
+0.0350361
+0.0366041
+0.0382334
+0.0399164
+0.0416467
+0.0434186
+0.0452272
+0.0470629
+0.0489272
+0.0508176
+0.0527312
+0.0546656
+0.0566187
+0.0584713
+0.0599839
+0.0613758
+0.0624294
+0.0635337
+0.0646934
+0.0659025
+0.0671504
+0.0684457
+0.0697858
+0.0711681
+0.0725901
+0.0740497
+0.0755446
+0.0770728
+0.0786324
+0.0802214
+0.0818382
+0.0834813
+0.0851489
+0.0868398
+0.0885527
+0.0900195
+0.0904737
+0.0909784
+0.0915328
+0.0921086
+0.0927097
+0.0933583
+0.0940535
+0.094625
+0.0952364
+0.0958939
+0.0965966
+0.0973435
+0.0981337
+0.0989661
+0.0998383
+0.100743
+0.08288
+0.0807934
+0.0787125
+0.0766377
+0.0745695
+0.0725082
+0.0704504
+0.0684004
+0.0663593
+0.0643281
+0.0623076
+0.0602991
+0.0583037
+0.0563228
+0.054358
+0.0524111
+0.0504842
+0.0485796
+0.0466979
+0.044834
+0.0430009
+0.0412027
+0.0394403
+0.0377218
+0.0360547
+0.0344461
+0.0329049
+0.0314409
+0.0300653
+0.0287909
+0.0276316
+0.0265883
+0.0256759
+0.0249232
+0.0243449
+0.0239538
+0.023759
+0.0237654
+0.0239729
+0.0243762
+0.0249542
+0.0256817
+0.0265705
+0.0276048
+0.0287691
+0.0300482
+0.0314281
+0.0328962
+0.0344408
+0.0360375
+0.0376913
+0.0393976
+0.0411497
+0.0429421
+0.0447699
+0.0466236
+0.0485048
+0.050411
+0.0523395
+0.0542879
+0.056246
+0.0575239
+0.0585066
+0.059523
+0.0606011
+0.0617381
+0.0629308
+0.0641651
+0.0654462
+0.0667746
+0.0681475
+0.0695623
+0.0710166
+0.0725078
+0.0740339
+0.0755926
+0.0771821
+0.0788004
+0.0804458
+0.0821167
+0.0838115
+0.0855288
+0.0872399
+0.0888553
+0.0893155
+0.0898267
+0.0903881
+0.0909702
+0.0915803
+0.0922385
+0.0929173
+0.0934884
+0.0941072
+0.0947725
+0.0954835
+0.0962391
+0.0970382
+0.0978786
+0.0987523
+0.0996666
+0.0826627
+0.0805705
+0.0784836
+0.0764026
+0.0743278
+0.07226
+0.0701992
+0.0681421
+0.066093
+0.0640533
+0.0620239
+0.0600059
+0.0580004
+0.0560088
+0.0540325
+0.0520735
+0.0501336
+0.0482152
+0.046321
+0.044454
+0.0426106
+0.0407952
+0.0390144
+0.0372763
+0.0355883
+0.0339577
+0.0323932
+0.0309049
+0.0295044
+0.0282046
+0.0270202
+0.0259523
+0.0250167
+0.0242435
+0.0236487
+0.0232458
+0.0230451
+0.0230517
+0.0232655
+0.0236809
+0.0242876
+0.0250374
+0.0259482
+0.0270064
+0.0281955
+0.0294994
+0.0309026
+0.0323907
+0.033955
+0.0355855
+0.0372704
+0.038995
+0.0407644
+0.0425731
+0.0444161
+0.0462839
+0.0481784
+0.050097
+0.0520372
+0.0537607
+0.054687
+0.0556546
+0.0566369
+0.0576857
+0.0587975
+0.0599687
+0.0611911
+0.0624563
+0.0637717
+0.0651342
+0.066541
+0.0679893
+0.0694765
+0.0710001
+0.0725578
+0.0741476
+0.0757674
+0.0774153
+0.0790895
+0.0807876
+0.0824799
+0.0841952
+0.0859321
+0.0876893
+0.0881772
+0.0887054
+0.0892725
+0.0898407
+0.0904585
+0.0911248
+0.0918118
+0.0923898
+0.0930158
+0.0936889
+0.0944081
+0.0951722
+0.0959789
+0.0968202
+0.0977034
+0.098486
+0.0825029
+0.0804066
+0.0783153
+0.0762297
+0.0741502
+0.0720772
+0.0700113
+0.067953
+0.0658985
+0.0638526
+0.0618166
+0.0597916
+0.0577786
+0.0557791
+0.0537944
+0.0518264
+0.0498769
+0.0479482
+0.046043
+0.0441643
+0.0423156
+0.0404901
+0.0386986
+0.0369502
+0.0352513
+0.0336052
+0.0320235
+0.0305172
+0.029098
+0.0277792
+0.0265758
+0.0254893
+0.0245361
+0.0237473
+0.0231397
+0.0227278
+0.0225224
+0.0225292
+0.0227479
+0.0231726
+0.0237922
+0.0245596
+0.0254875
+0.0265641
+0.027772
+0.029095
+0.0305148
+0.0320209
+0.0336025
+0.0352493
+0.0369526
+0.038705
+0.0404883
+0.042302
+0.04415
+0.046028
+0.0479326
+0.0498607
+0.0509458
+0.0518592
+0.0528007
+0.0537744
+0.0547904
+0.0558739
+0.057021
+0.0582279
+0.0594775
+0.0607784
+0.0621293
+0.0635271
+0.0649687
+0.0664512
+0.067972
+0.0695286
+0.0711186
+0.0727399
+0.0743903
+0.0760654
+0.077737
+0.0794339
+0.0811544
+0.0828971
+0.0846607
+0.0864437
+0.0870078
+0.087522
+0.0880876
+0.0887038
+0.0893694
+0.0900506
+0.0907458
+0.0913305
+0.0919638
+0.0926445
+0.0933717
+0.0941428
+0.0949499
+0.0957987
+0.0965092
+0.0972638
+0.0824011
+0.0803021
+0.0782081
+0.0761195
+0.0740369
+0.0719606
+0.0698914
+0.0678297
+0.065776
+0.0637266
+0.0616865
+0.059657
+0.0576394
+0.0556348
+0.0536448
+0.0516711
+0.0497155
+0.0477803
+0.0458681
+0.0439819
+0.0421252
+0.0402911
+0.0384904
+0.036732
+0.0350225
+0.0333693
+0.0317811
+0.0302682
+0.0288425
+0.0275176
+0.0263069
+0.0252089
+0.0242446
+0.023446
+0.0228304
+0.0224128
+0.0222045
+0.0222114
+0.0224333
+0.0228638
+0.0234915
+0.0242684
+0.0252071
+0.0262951
+0.0275149
+0.0288497
+0.0302809
+0.0317982
+0.0333903
+0.0350471
+0.0367598
+0.0385209
+0.0403123
+0.0421336
+0.0439887
+0.0458733
+0.0473584
+0.0481566
+0.0490398
+0.0499622
+0.0509161
+0.0519185
+0.0529702
+0.0540901
+0.0552738
+0.0565017
+0.0577866
+0.0591248
+0.0605127
+0.061947
+0.0634245
+0.0649423
+0.0664977
+0.0680881
+0.069711
+0.0713642
+0.0730148
+0.0746904
+0.0763921
+0.0781182
+0.0798671
+0.0816373
+0.0834274
+0.0852363
+0.0857972
+0.0863185
+0.086892
+0.0875166
+0.0881911
+0.0889146
+0.0896857
+0.090312
+0.0909523
+0.0916406
+0.0923742
+0.0931451
+0.0939187
+0.0945925
+0.0953078
+0.0960593
+0.0823464
+0.0802499
+0.0781585
+0.0760723
+0.0739883
+0.0719107
+0.0698399
+0.0677767
+0.0657216
+0.0636713
+0.0616296
+0.0595986
+0.0575792
+0.0555729
+0.053581
+0.0516051
+0.0496474
+0.0477098
+0.0457951
+0.0439063
+0.0420466
+0.0402106
+0.0384061
+0.0366438
+0.0349299
+0.0332721
+0.031679
+0.030161
+0.02873
+0.0273996
+0.0261852
+0.0251035
+0.0241492
+0.0233473
+0.022729
+0.0223095
+0.0221003
+0.0221072
+0.0223301
+0.0227625
+0.023393
+0.0241731
+0.0251153
+0.0262071
+0.0274308
+0.0287695
+0.0302045
+0.0317254
+0.033321
+0.0349811
+0.0366969
+0.0384609
+0.040255
+0.0420788
+0.0439361
+0.0446675
+0.0454074
+0.0462394
+0.0471565
+0.0480679
+0.0490433
+0.0500783
+0.0511782
+0.0523189
+0.0535249
+0.054792
+0.0561161
+0.0574932
+0.0589195
+0.0603917
+0.0619064
+0.0634605
+0.0650513
+0.0666762
+0.0683168
+0.0699683
+0.0716482
+0.073355
+0.075087
+0.0768424
+0.0786197
+0.0804173
+0.0822211
+0.0840376
+0.0846259
+0.0851544
+0.0857357
+0.0863686
+0.0870521
+0.0877849
+0.0885659
+0.0893355
+0.0899828
+0.090677
+0.0914097
+0.0920896
+0.0927119
+0.0933816
+0.0940974
+0.0948585
+0.0823428
+0.0802462
+0.0781547
+0.0760688
+0.073989
+0.0719157
+0.0698497
+0.0677914
+0.0657322
+0.0636812
+0.0616399
+0.0596092
+0.0575902
+0.0555843
+0.0535928
+0.0516174
+0.0496601
+0.0477231
+0.045809
+0.0439207
+0.0420617
+0.0402362
+0.0384467
+0.0366863
+0.0349746
+0.0333189
+0.0317282
+0.0302127
+0.0287843
+0.0274565
+0.0262447
+0.0251655
+0.0242352
+0.0234369
+0.022821
+0.0224033
+0.0221949
+0.0222018
+0.0224238
+0.0228545
+0.0234825
+0.0242758
+0.0252142
+0.0263019
+0.0275214
+0.0288559
+0.0302868
+0.0318038
+0.0333956
+0.0350522
+0.0367646
+0.0385256
+0.0403168
+0.0414644
+0.0420327
+0.042706
+0.0434793
+0.0443474
+0.0452524
+0.0461845
+0.0471885
+0.0482631
+0.0493815
+0.0505627
+0.0518097
+0.0531177
+0.0544825
+0.0558998
+0.0573658
+0.0588768
+0.0604295
+0.0620207
+0.0636435
+0.0652687
+0.066926
+0.068611
+0.0703233
+0.0720616
+0.0738239
+0.0756068
+0.0773925
+0.0791984
+0.0810234
+0.0828661
+0.0834957
+0.0840314
+0.0846203
+0.0852615
+0.0859538
+0.0866959
+0.0874598
+0.0882664
+0.0890552
+0.0897477
+0.0903074
+0.0908892
+0.0915197
+0.0921979
+0.0929229
+0.0936935
+0.0823975
+0.0803023
+0.0782123
+0.076128
+0.0740498
+0.0719783
+0.0699141
+0.0678578
+0.0658072
+0.0637636
+0.061728
+0.0597003
+0.0576845
+0.0556819
+0.0536941
+0.0517226
+0.0497694
+0.0478368
+0.0459274
+0.0440442
+0.0421907
+0.040371
+0.0385899
+0.0368529
+0.0351559
+0.0335093
+0.031928
+0.0304225
+0.0290044
+0.0276872
+0.0264859
+0.025417
+0.0244962
+0.0237067
+0.023098
+0.0226854
+0.0224797
+0.0224864
+0.0227056
+0.0231311
+0.0237518
+0.0245529
+0.0254846
+0.0265612
+0.0277693
+0.0290924
+0.0305156
+0.0320255
+0.0336104
+0.0352594
+0.0369623
+0.0385482
+0.0389751
+0.0394653
+0.040062
+0.0407678
+0.0415772
+0.0424764
+0.0433575
+0.044327
+0.0453635
+0.0464651
+0.0476179
+0.0488417
+0.0501315
+0.0514822
+0.0528892
+0.0543481
+0.0558548
+0.0574056
+0.058997
+0.0605978
+0.0622254
+0.0638867
+0.0655789
+0.0672976
+0.0690425
+0.0708015
+0.0725732
+0.0743671
+0.0761818
+0.0780158
+0.0798678
+0.0817366
+0.0823141
+0.0828573
+0.0834545
+0.0841046
+0.0848062
+0.0855583
+0.0863581
+0.0871749
+0.0880387
+0.0885977
+0.0891368
+0.0897261
+0.0903648
+0.0910517
+0.0917857
+0.0925658
+0.0825038
+0.0804143
+0.0783303
+0.0762501
+0.0741754
+0.0721075
+0.0700471
+0.0679948
+0.0659484
+0.0639093
+0.0618806
+0.0598633
+0.0578586
+0.0558654
+0.0538843
+0.05192
+0.0499746
+0.0480502
+0.0461497
+0.0442759
+0.0424325
+0.0406236
+0.0388541
+0.0371295
+0.0354564
+0.0338406
+0.0322756
+0.0307871
+0.0293866
+0.0280873
+0.0269039
+0.0258523
+0.0249476
+0.0241728
+0.0235762
+0.0231721
+0.0229707
+0.0229773
+0.0231918
+0.0236085
+0.024217
+0.0250032
+0.0259256
+0.0269847
+0.0281746
+0.0294795
+0.0308848
+0.0323775
+0.033946
+0.0355803
+0.0362234
+0.0365463
+0.0369793
+0.0374876
+0.0381153
+0.0388565
+0.0397048
+0.0405701
+0.0414917
+0.042492
+0.0435526
+0.0446937
+0.045891
+0.0471597
+0.0484942
+0.0498893
+0.05134
+0.0528416
+0.0543901
+0.0559658
+0.0575577
+0.0591878
+0.0608531
+0.0625509
+0.0642782
+0.06601
+0.0677652
+0.0695452
+0.071348
+0.073172
+0.0750156
+0.0768775
+0.0787562
+0.0806329
+0.0811282
+0.0816793
+0.0822851
+0.0829443
+0.0836557
+0.084418
+0.0852298
+0.0860897
+0.0869648
+0.0874591
+0.0880052
+0.0886021
+0.0892487
+0.0899441
+0.0906871
+0.0914734
+0.0826609
+0.0805779
+0.0784983
+0.0764248
+0.0743581
+0.0722987
+0.0702472
+0.0682019
+0.0661619
+0.0641296
+0.0621081
+0.0600984
+0.0581018
+0.0561197
+0.0541537
+0.0522056
+0.0502744
+0.0483621
+0.0464742
+0.0446141
+0.0427853
+0.040992
+0.039239
+0.0375321
+0.0358778
+0.0342837
+0.0327582
+0.0312943
+0.0299184
+0.028644
+0.0274855
+0.0264579
+0.0255771
+0.0248242
+0.0242436
+0.0238508
+0.0236552
+0.0236616
+0.02387
+0.0242751
+0.0248672
+0.0256335
+0.026537
+0.0275761
+0.0287416
+0.0300219
+0.0314029
+0.0328721
+0.0339332
+0.0340207
+0.0342257
+0.0345542
+0.0349764
+0.0355289
+0.0361965
+0.0369761
+0.037831
+0.0386939
+0.0396496
+0.0406653
+0.0417712
+0.0429605
+0.0442053
+0.045521
+0.0469022
+0.0483432
+0.0498389
+0.0513833
+0.0529316
+0.054524
+0.0561568
+0.0578264
+0.0595294
+0.0612353
+0.0629712
+0.0647347
+0.0665237
+0.068336
+0.0701699
+0.0720237
+0.073896
+0.0757853
+0.0776905
+0.0794731
+0.0799756
+0.0805346
+0.0811488
+0.0818171
+0.0825382
+0.0833106
+0.0841331
+0.085004
+0.0858437
+0.0863471
+0.0869028
+0.0875099
+0.0881618
+0.0888579
+0.0896021
+0.0903933
+0.0828668
+0.0807893
+0.0787179
+0.0766532
+0.0745956
+0.0725458
+0.0705026
+0.0684674
+0.0664421
+0.0644237
+0.0624117
+0.0604121
+0.0584262
+0.0564555
+0.0545016
+0.0525664
+0.050652
+0.0487608
+0.0468957
+0.0450564
+0.0432463
+0.0414729
+0.0397412
+0.0380568
+0.0364263
+0.0348573
+0.0333581
+0.0319217
+0.030574
+0.0293282
+0.0281977
+0.0271971
+0.026341
+0.025644
+0.0250852
+0.0247058
+0.024517
+0.0245232
+0.0247243
+0.0251156
+0.0256884
+0.0264309
+0.027308
+0.0283193
+0.0294591
+0.0307112
+0.0320626
+0.0319997
+0.0319426
+0.0320355
+0.0322348
+0.032537
+0.0329823
+0.033565
+0.034265
+0.0350642
+0.0359453
+0.0368473
+0.0378113
+0.038875
+0.0400305
+0.0412699
+0.0425655
+0.0439304
+0.04536
+0.0468485
+0.0483593
+0.0499053
+0.0514981
+0.0531335
+0.0548032
+0.0564819
+0.0581947
+0.0599386
+0.061711
+0.0635095
+0.065332
+0.0671764
+0.0690412
+0.0709245
+0.072825
+0.0747415
+0.0766726
+0.0783484
+0.078858
+0.0794249
+0.0800476
+0.0807251
+0.0814558
+0.0822384
+0.0830714
+0.0839534
+0.0847594
+0.0852693
+0.085832
+0.086441
+0.0870958
+0.0878003
+0.0885534
+0.0893539
+0.08313
+0.0810592
+0.0789949
+0.0769376
+0.0748879
+0.0728463
+0.0708137
+0.0687907
+0.0667784
+0.0647776
+0.0627887
+0.0608031
+0.0588305
+0.0568738
+0.0549348
+0.0530153
+0.0511177
+0.0492445
+0.0473984
+0.0455829
+0.0438017
+0.0420592
+0.0403562
+0.0386986
+0.0370963
+0.0355569
+0.0340884
+0.0326841
+0.0313692
+0.0301563
+0.0290581
+0.0280881
+0.02726
+0.0265871
+0.0260814
+0.0257194
+0.0255381
+0.0255441
+0.0257372
+0.0261133
+0.0266647
+0.0273807
+0.0282283
+0.0292078
+0.0303142
+0.0304367
+0.0301612
+0.0300396
+0.0299668
+0.0300036
+0.0301989
+0.0305213
+0.0309955
+0.0316139
+0.0323423
+0.0331743
+0.0340962
+0.0349989
+0.0360125
+0.0371278
+0.0383359
+0.0396284
+0.0409773
+0.0423933
+0.0438575
+0.0453453
+0.0468883
+0.0484813
+0.05011
+0.0517555
+0.0534402
+0.0551604
+0.056913
+0.058695
+0.0605039
+0.0623372
+0.064193
+0.0660692
+0.0679643
+0.0698767
+0.071805
+0.0737479
+0.0756912
+0.0772246
+0.0777861
+0.0783607
+0.0789919
+0.0796783
+0.0804185
+0.0812111
+0.0820546
+0.0829473
+0.0836483
+0.0842346
+0.0847986
+0.0854097
+0.0860723
+0.0867851
+0.0875333
+0.0883136
+0.0833865
+0.0813428
+0.079307
+0.0772796
+0.0752428
+0.0732112
+0.0711889
+0.069177
+0.0671762
+0.0651876
+0.0632124
+0.0612519
+0.0593075
+0.0573727
+0.0554511
+0.0535502
+0.0516723
+0.0498198
+0.0479959
+0.0462039
+0.0444476
+0.0427315
+0.0410605
+0.0394404
+0.0378778
+0.0363751
+0.0349411
+0.0335725
+0.0322937
+0.0311168
+0.0300538
+0.029117
+0.028319
+0.0276718
+0.0271863
+0.0268513
+0.0266777
+0.0266834
+0.0268684
+0.0272289
+0.0277581
+0.0284466
+0.0292825
+0.0295161
+0.0289238
+0.0284735
+0.0281788
+0.0280382
+0.0279374
+0.0279768
+0.0281862
+0.0285313
+0.0290381
+0.0296824
+0.0304452
+0.0313236
+0.032239
+0.0331923
+0.0342593
+0.0354298
+0.0366939
+0.0380422
+0.0394469
+0.0408638
+0.0423435
+0.0438827
+0.0454602
+0.0470644
+0.0487143
+0.0504054
+0.0521337
+0.0538956
+0.055688
+0.057508
+0.059353
+0.0612209
+0.0631095
+0.065017
+0.0669419
+0.0688827
+0.0708088
+0.0727474
+0.0746687
+0.0760451
+0.0766186
+0.07725
+0.0779379
+0.0786786
+0.0794281
+0.0802305
+0.0810183
+0.0818442
+0.0825165
+0.0831963
+0.0837837
+0.0844127
+0.0850525
+0.0857436
+0.0864834
+0.087271
+0.0836185
+0.0815806
+0.0795509
+0.0775299
+0.0755183
+0.0735171
+0.0715269
+0.0695487
+0.0675837
+0.0656329
+0.0636978
+0.0617631
+0.0598353
+0.0579262
+0.0560377
+0.0541685
+0.0523127
+0.0504838
+0.0486848
+0.0469191
+0.0451906
+0.0435037
+0.0418636
+0.0402759
+0.038747
+0.0372842
+0.0358955
+0.0345765
+0.0333363
+0.0321976
+0.0311714
+0.0302692
+0.0295024
+0.0288818
+0.0284169
+0.0281065
+0.0279407
+0.0279461
+0.0281228
+0.0284674
+0.028974
+0.0292173
+0.0283793
+0.0276603
+0.0270283
+0.0265459
+0.0262295
+0.0260415
+0.025934
+0.0259767
+0.026202
+0.026573
+0.0271148
+0.027788
+0.0285818
+0.0294769
+0.0304262
+0.0314345
+0.0325592
+0.0337887
+0.0351119
+0.0364896
+0.0378869
+0.0393566
+0.0408686
+0.0424202
+0.0440261
+0.0456807
+0.0473788
+0.0491159
+0.050888
+0.0526916
+0.0545236
+0.0563812
+0.0582619
+0.0601636
+0.0620844
+0.0640087
+0.0659289
+0.0678655
+0.0698004
+0.0716675
+0.0735524
+0.0748773
+0.0754595
+0.0761002
+0.0767982
+0.0775209
+0.0782696
+0.079072
+0.0799263
+0.0807467
+0.081428
+0.082145
+0.082716
+0.0833201
+0.083967
+0.0846647
+0.0854128
+0.0862102
+0.0839069
+0.0818764
+0.0798542
+0.0778411
+0.0758378
+0.0738451
+0.071864
+0.0698954
+0.0679404
+0.0660002
+0.0640762
+0.0621698
+0.0602827
+0.0584169
+0.0565743
+0.0547574
+0.0529687
+0.0512097
+0.0494539
+0.0477195
+0.0460241
+0.0443708
+0.042764
+0.0412109
+0.0397181
+0.0382924
+0.0369416
+0.0356664
+0.0344654
+0.0333652
+0.0323761
+0.0315084
+0.0307725
+0.030178
+0.0297334
+0.0294455
+0.0293131
+0.0293183
+0.0294868
+0.0296096
+0.0284806
+0.027472
+0.0265817
+0.025844
+0.0251808
+0.0246615
+0.0243001
+0.0240643
+0.0239617
+0.0240099
+0.0242535
+0.0246538
+0.0251736
+0.0258606
+0.0266815
+0.0276252
+0.0286509
+0.0297185
+0.0308886
+0.0321561
+0.0335189
+0.0349311
+0.0363572
+0.0378401
+0.0393892
+0.0409968
+0.0426563
+0.044362
+0.0461087
+0.0478919
+0.0497077
+0.0515526
+0.0534237
+0.0553182
+0.0572338
+0.0591357
+0.061052
+0.0629861
+0.0649353
+0.0667959
+0.0686748
+0.0705717
+0.0724851
+0.0737199
+0.0743114
+0.0749622
+0.0756709
+0.0763754
+0.0771352
+0.0779492
+0.0788158
+0.0796942
+0.0803845
+0.0810493
+0.0816297
+0.0822644
+0.0829218
+0.0836282
+0.0843856
+0.0851893
+0.0842414
+0.0822214
+0.0802103
+0.0782089
+0.0762177
+0.0742364
+0.0722661
+0.0703087
+0.0683656
+0.0664378
+0.0645268
+0.0626341
+0.0607615
+0.0589107
+0.0570805
+0.0552754
+0.053499
+0.0517545
+0.050045
+0.0483744
+0.0467467
+0.0451667
+0.0436395
+0.0421708
+0.0407638
+0.0393778
+0.0380664
+0.0368386
+0.0356923
+0.0346311
+0.0336791
+0.0328459
+0.0321406
+0.0315719
+0.0311472
+0.0308725
+0.0307518
+0.0306424
+0.0292739
+0.0280101
+0.0268277
+0.0257632
+0.024821
+0.0240324
+0.0233369
+0.022751
+0.0223513
+0.0220848
+0.0220021
+0.0220853
+0.0222935
+0.0226582
+0.0232133
+0.0239504
+0.0248119
+0.0258109
+0.0268268
+0.0279641
+0.0291953
+0.0305332
+0.0319586
+0.0333507
+0.0348239
+0.0363695
+0.0379785
+0.0396434
+0.0413573
+0.0431144
+0.0449096
+0.0467386
+0.0485975
+0.050483
+0.0523778
+0.0542673
+0.0561788
+0.0581099
+0.0600576
+0.0619287
+0.0638005
+0.065692
+0.0676015
+0.0695277
+0.0714683
+0.0725934
+0.0731939
+0.0738546
+0.0745564
+0.075271
+0.076042
+0.0768677
+0.0777415
+0.0786595
+0.0793877
+0.079998
+0.080586
+0.0812288
+0.0819182
+0.0826332
+0.083318
+0.0839514
+0.0846304
+0.0826199
+0.0806166
+0.078623
+0.0766402
+0.0746691
+0.0727105
+0.0707655
+0.0688353
+0.0669211
+0.0650244
+0.0631467
+0.0612898
+0.0594556
+0.0576463
+0.0558644
+0.0541095
+0.0523852
+0.0506971
+0.0490486
+0.0474441
+0.0458881
+0.0443857
+0.0429425
+0.0415647
+0.0402591
+0.0390328
+0.037892
+0.0368394
+0.0358899
+0.0350518
+0.0342714
+0.033596
+0.0330524
+0.032647
+0.032361
+0.0307729
+0.0292597
+0.0278232
+0.0264903
+0.0252568
+0.024123
+0.0231299
+0.0222485
+0.0215321
+0.0208957
+0.0204327
+0.0201426
+0.0200518
+0.0201045
+0.0203036
+0.0206916
+0.021298
+0.0220687
+0.0229795
+0.0239809
+0.0250588
+0.0262663
+0.0275722
+0.02897
+0.0303627
+0.0318234
+0.0333641
+0.0349742
+0.0366446
+0.0383674
+0.0401358
+0.0419441
+0.0437874
+0.0456613
+0.047524
+0.0494049
+0.0513104
+0.0532378
+0.0551836
+0.0570668
+0.0589301
+0.0608152
+0.0627203
+0.0646434
+0.0665826
+0.0685304
+0.0704925
+0.0715079
+0.0721183
+0.0727895
+0.0734827
+0.0742028
+0.0749723
+0.0757974
+0.0766762
+0.0776069
+0.0784291
+0.078968
+0.0795636
+0.0802146
+0.0809035
+0.0815194
+0.0821132
+0.082753
+0.0847696
+0.0830633
+0.0810707
+0.0790886
+0.0771178
+0.0751592
+0.0732137
+0.0712825
+0.0693666
+0.0674675
+0.0655866
+0.0637255
+0.0618859
+0.06007
+0.0582798
+0.0565178
+0.0547867
+0.0530896
+0.0514298
+0.0498102
+0.048231
+0.0467012
+0.0452258
+0.0438103
+0.0424607
+0.0411835
+0.0399803
+0.0388609
+0.0378354
+0.0369115
+0.036097
+0.0353996
+0.0348263
+0.0343832
+0.032906
+0.0311924
+0.0295415
+0.0279649
+0.0264746
+0.0250558
+0.0237427
+0.0225451
+0.0214639
+0.0205339
+0.0197364
+0.0190483
+0.0185702
+0.0182567
+0.0181566
+0.0181377
+0.0183473
+0.0187747
+0.0194145
+0.0202265
+0.0211734
+0.0222003
+0.0233575
+0.0246451
+0.026007
+0.0273992
+0.0288436
+0.0303775
+0.0319879
+0.0336639
+0.0353961
+0.0371768
+0.0389993
+0.0408424
+0.0426804
+0.0445504
+0.0464484
+0.0483711
+0.0503143
+0.0522117
+0.0540648
+0.0559423
+0.0578419
+0.0597614
+0.0616989
+0.0636454
+0.0656073
+0.0675832
+0.069572
+0.0704315
+0.0710462
+0.0717137
+0.0724261
+0.0731488
+0.0739293
+0.074766
+0.0756568
+0.0765999
+0.0774351
+0.0779283
+0.0784726
+0.079074
+0.079731
+0.0803497
+0.0809468
+0.0815957
+0.083633
+0.082647
+0.0815812
+0.0796118
+0.0776543
+0.0757095
+0.0737786
+0.0718625
+0.0699626
+0.0680801
+0.0662166
+0.0643736
+0.0625532
+0.0607571
+0.0589878
+0.0572476
+0.0555393
+0.0538659
+0.0522308
+0.0506377
+0.0490907
+0.0475943
+0.0461533
+0.044764
+0.0434369
+0.0421819
+0.0410056
+0.0399149
+0.0389172
+0.0380196
+0.0372294
+0.0365536
+0.0355272
+0.033677
+0.0318667
+0.030107
+0.0284016
+0.0267579
+0.0251976
+0.0237043
+0.0223187
+0.0210426
+0.0198818
+0.0188546
+0.0179493
+0.0172257
+0.0167139
+0.0164227
+0.0162447
+0.0162225
+0.0164489
+0.0169106
+0.0175886
+0.0184582
+0.0193936
+0.0204924
+0.0217406
+0.0230793
+0.0244672
+0.0258916
+0.0274155
+0.0290249
+0.0307064
+0.0324486
+0.0342424
+0.036033
+0.037851
+0.0397067
+0.0415949
+0.0435116
+0.0454513
+0.0473655
+0.0492061
+0.0510743
+0.0529673
+0.0548824
+0.0568174
+0.0587626
+0.0607242
+0.0627009
+0.0646915
+0.0666945
+0.0687091
+0.0693783
+0.0700028
+0.0706802
+0.0714028
+0.0721358
+0.0729272
+0.0737752
+0.0746778
+0.0756332
+0.0762748
+0.0767684
+0.077321
+0.0779312
+0.0785978
+0.0792207
+0.0798236
+0.080471
+0.0825369
+0.0815413
+0.0805878
+0.079677
+0.078235
+0.0763061
+0.0743917
+0.072493
+0.0706112
+0.0687474
+0.0669025
+0.0650782
+0.0632768
+0.0615008
+0.0597522
+0.0580337
+0.056348
+0.054698
+0.0530872
+0.0515192
+0.049998
+0.0485232
+0.0471028
+0.0457432
+0.0444501
+0.0432293
+0.0420873
+0.0410305
+0.0400639
+0.0391926
+0.0384266
+0.0365129
+0.0346014
+0.0327249
+0.0308898
+0.0290817
+0.0273027
+0.0255877
+0.0239503
+0.0223963
+0.0209178
+0.0195388
+0.0183187
+0.0172302
+0.0162612
+0.0154666
+0.014872
+0.0144726
+0.0142722
+0.0143504
+0.0146325
+0.0151069
+0.0157902
+0.0166174
+0.0176493
+0.01888
+0.0201895
+0.0215462
+0.0229761
+0.0244873
+0.0260934
+0.0277795
+0.0295133
+0.0312513
+0.0330419
+0.0348783
+0.0367534
+0.0386618
+0.0405969
+0.0425314
+0.0443562
+0.0462128
+0.0480975
+0.0500072
+0.051939
+0.0538827
+0.0558438
+0.0578214
+0.0598139
+0.0618197
+0.0638377
+0.0658668
+0.0678067
+0.0683791
+0.0690132
+0.0697002
+0.0704329
+0.0711758
+0.0719778
+0.0728368
+0.0737371
+0.0746548
+0.0751511
+0.0756521
+0.0762127
+0.0768318
+0.0775078
+0.0781229
+0.0787212
+0.0793754
+0.0814799
+0.0804716
+0.0795073
+0.0785881
+0.0777198
+0.0769023
+0.0750262
+0.0731439
+0.0712793
+0.0694337
+0.0676087
+0.065806
+0.0640275
+0.0622753
+0.0605517
+0.0588557
+0.0571889
+0.0555585
+0.0539678
+0.0524204
+0.0509203
+0.0494717
+0.0480793
+0.0467481
+0.0454835
+0.0442913
+0.0431773
+0.0421468
+0.0412031
+0.0397017
+0.0377
+0.0357178
+0.0337613
+0.0318353
+0.0299457
+0.0280999
+0.0262866
+0.0245027
+0.0227898
+0.0211522
+0.0195878
+0.0181133
+0.0167899
+0.0156367
+0.014617
+0.0137567
+0.0130712
+0.0125877
+0.0123734
+0.0124635
+0.0128037
+0.0132907
+0.0139529
+0.0148541
+0.0159887
+0.0172976
+0.0186257
+0.020045
+0.0215591
+0.0231337
+0.024802
+0.0265122
+0.0282636
+0.0300725
+0.0319293
+0.0338261
+0.0357545
+0.0377071
+0.0395183
+0.04136
+0.0432342
+0.045137
+0.0470648
+0.0490065
+0.0509669
+0.0529454
+0.05494
+0.056949
+0.0589709
+0.0610045
+0.0629654
+0.0649024
+0.0668059
+0.0674362
+0.0680797
+0.068776
+0.0694895
+0.0702541
+0.0710779
+0.0719129
+0.0727877
+0.0736287
+0.0740752
+0.0745834
+0.075152
+0.0757797
+0.0764634
+0.0770562
+0.0776627
+0.0783257
+0.0804623
+0.0794411
+0.0784642
+0.0775326
+0.0766523
+0.0758245
+0.0750479
+0.0738541
+0.0720079
+0.0701814
+0.0683764
+0.0665945
+0.0648377
+0.0631044
+0.0613966
+0.0597204
+0.0580785
+0.0564738
+0.0549096
+0.0533895
+0.0519174
+0.0504974
+0.0491341
+0.0478323
+0.0465971
+0.0454341
+0.0443485
+0.0431524
+0.0411172
+0.0390709
+0.037041
+0.0350306
+0.0330429
+0.0310749
+0.0291361
+0.0272355
+0.0253817
+0.0235474
+0.0217595
+0.0200355
+0.0183771
+0.0168409
+0.0154216
+0.0141592
+0.0130159
+0.0120959
+0.0113689
+0.0108145
+0.010531
+0.010583
+0.0109349
+0.0114362
+0.0121757
+0.0131846
+0.0144155
+0.0157463
+0.0171242
+0.0186128
+0.0201795
+0.0218437
+0.0235347
+0.0253024
+0.027132
+0.0290116
+0.0309298
+0.032877
+0.0346974
+0.0365194
+0.0383799
+0.0402737
+0.0421962
+0.0441353
+0.0460946
+0.048074
+0.0500709
+0.0520834
+0.0541098
+0.0561485
+0.0581189
+0.0600363
+0.0619617
+0.0638912
+0.0658153
+0.0665522
+0.0672046
+0.0678659
+0.0685786
+0.0693532
+0.0701782
+0.0710067
+0.0718924
+0.0725964
+0.0730492
+0.0735644
+0.0741409
+0.0747771
+0.0754643
+0.0760356
+0.0766501
+0.0773117
+0.0794921
+0.0784582
+0.0774689
+0.0765252
+0.0756332
+0.0747941
+0.0740067
+0.0732764
+0.0726049
+0.0709879
+0.0691986
+0.0674331
+0.0656931
+0.0639809
+0.0622986
+0.0606488
+0.0590342
+0.0574578
+0.0559214
+0.0544296
+0.0529863
+0.0515958
+0.0502623
+0.0489892
+0.0477797
+0.0466417
+0.0447357
+0.042668
+0.0406132
+0.0385544
+0.0364958
+0.0344536
+0.0324307
+0.030431
+0.0284595
+0.0265167
+0.0246065
+0.0227143
+0.02084
+0.0190334
+0.0172988
+0.0156564
+0.0141272
+0.012747
+0.0115173
+0.0104683
+0.00971552
+0.00913581
+0.00875217
+0.00879959
+0.00905248
+0.00962108
+0.0104868
+0.011611
+0.0128496
+0.0142669
+0.0157013
+0.0172542
+0.0188924
+0.0205927
+0.0223784
+0.0242307
+0.0261325
+0.0280475
+0.0299017
+0.0316966
+0.0335385
+0.0354202
+0.0373355
+0.0392708
+0.0412286
+0.0432086
+0.0452082
+0.0472247
+0.049256
+0.0513005
+0.0532652
+0.0551721
+0.0570978
+0.0590365
+0.0609807
+0.062931
+0.0648835
+0.0657292
+0.0663354
+0.0669945
+0.067718
+0.0685039
+0.0693123
+0.0701511
+0.0710475
+0.0716117
+0.0720707
+0.0725929
+0.073177
+0.073821
+0.0744944
+0.0750576
+0.0756697
+0.0763379
+0.078571
+0.0775248
+0.0765235
+0.0755679
+0.0746645
+0.0738144
+0.0730165
+0.0722762
+0.0715952
+0.0709754
+0.0700595
+0.0683162
+0.0665993
+0.0649109
+0.0632534
+0.0616292
+0.060041
+0.0584917
+0.0569845
+0.0555229
+0.0541104
+0.0527512
+0.0514439
+0.0501979
+0.0485713
+0.0464678
+0.0443726
+0.0422872
+0.0402129
+0.0381517
+0.0360756
+0.0340081
+0.031957
+0.0299258
+0.0279186
+0.0259221
+0.0239489
+0.0220169
+0.0200951
+0.0182148
+0.0163999
+0.0146293
+0.0129691
+0.0114615
+0.0101033
+0.00895728
+0.0080885
+0.00748318
+0.00705637
+0.00697138
+0.00729732
+0.00792965
+0.00882547
+0.00997683
+0.0113386
+0.0128693
+0.0143944
+0.0159968
+0.0177041
+0.0195082
+0.0213711
+0.0232408
+0.0250868
+0.0269012
+0.0287164
+0.0305809
+0.0324862
+0.034416
+0.0363712
+0.0383518
+0.0403541
+0.0423751
+0.0444122
+0.0464632
+0.048414
+0.0503142
+0.0522371
+0.0541758
+0.056122
+0.0580719
+0.0600385
+0.06202
+0.0639913
+0.0648975
+0.0654978
+0.0661651
+0.0668976
+0.0676931
+0.0685051
+0.0693536
+0.0702602
+0.0706798
+0.0711448
+0.0716738
+0.0722653
+0.0729174
+0.0735611
+0.0741209
+0.0747388
+0.0754152
+0.0776245
+0.076626
+0.0756297
+0.0746627
+0.0737482
+0.0728874
+0.0720792
+0.0713291
+0.0706391
+0.0700108
+0.069446
+0.0689462
+0.0675499
+0.0658814
+0.0642442
+0.0626409
+0.0610741
+0.0595466
+0.0580616
+0.0566225
+0.0552328
+0.0538963
+0.0525838
+0.0504573
+0.0483365
+0.0462223
+0.0441155
+0.0420173
+0.039929
+0.0378328
+0.0357377
+0.0336548
+0.0315865
+0.0295144
+0.0274499
+0.0254065
+0.0233899
+0.0214074
+0.019469
+0.0175378
+0.0156749
+0.0138298
+0.0120277
+0.0103668
+0.00887486
+0.00760626
+0.00657995
+0.00584851
+0.00536005
+0.00520652
+0.00555363
+0.00618968
+0.00718225
+0.00846189
+0.00995324
+0.0116066
+0.0131916
+0.0148999
+0.0166499
+0.0184823
+0.0203456
+0.022129
+0.0239255
+0.0257641
+0.0276542
+0.0295757
+0.0315265
+0.0335071
+0.0355123
+0.0375383
+0.0395818
+0.0416105
+0.0435509
+0.045465
+0.0473821
+0.0493218
+0.0512709
+0.0532182
+0.0551837
+0.0571657
+0.0591536
+0.0611176
+0.0630965
+0.0640618
+0.0646698
+0.0653456
+0.0660872
+0.0668776
+0.0676756
+0.0685344
+0.0693995
+0.0698043
+0.0702751
+0.0708105
+0.0714092
+0.0720691
+0.0726713
+0.0732358
+0.0738611
+0.0745455
+0.0766641
+0.0756633
+0.0747031
+0.0737827
+0.0728862
+0.0720151
+0.071197
+0.0704376
+0.0697387
+0.0691022
+0.0685299
+0.0680234
+0.0675841
+0.0666506
+0.0650328
+0.0634494
+0.0619031
+0.0603966
+0.0589331
+0.0575158
+0.0561482
+0.054595
+0.0524586
+0.0503268
+0.0482002
+0.0460798
+0.0439661
+0.0418597
+0.0397411
+0.0376307
+0.0355271
+0.0334274
+0.031314
+0.0292121
+0.0271242
+0.0250539
+0.0230059
+0.0209867
+0.0189795
+0.0169927
+0.0150626
+0.0132055
+0.0113048
+0.00951862
+0.00788787
+0.00644636
+0.00526894
+0.00443306
+0.00377115
+0.00353247
+0.00377216
+0.00461795
+0.0057257
+0.00710073
+0.0087303
+0.0103958
+0.0120288
+0.0137946
+0.0156349
+0.0174093
+0.0191889
+0.0209852
+0.0228505
+0.0247582
+0.0267016
+0.0286806
+0.0306885
+0.0327198
+0.0347614
+0.0367513
+0.0386898
+0.0406144
+0.0425371
+0.0444724
+0.0464224
+0.0483734
+0.0503375
+0.0523196
+0.0543176
+0.0562886
+0.0582668
+0.0602597
+0.0622659
+0.0632879
+0.0639033
+0.0645871
+0.0653295
+0.0660899
+0.0668974
+0.067766
+0.0685776
+0.0689872
+0.0694635
+0.0700052
+0.0706107
+0.071278
+0.0718351
+0.0724062
+0.0730386
+0.0737306
+0.0757516
+0.0747385
+0.0737711
+0.0728469
+0.0719695
+0.0711486
+0.070372
+0.0696035
+0.0688962
+0.0682519
+0.0676724
+0.0671594
+0.0667144
+0.0663388
+0.0658849
+0.0643225
+0.0627976
+0.0613131
+0.059872
+0.0584775
+0.0567027
+0.0545609
+0.0524193
+0.0502684
+0.0481211
+0.0459778
+0.0438393
+0.0417061
+0.0395793
+0.0374598
+0.0353489
+0.0332474
+0.0311336
+0.0290125
+0.0269026
+0.0248066
+0.0227248
+0.0206426
+0.0185853
+0.0165622
+0.0145816
+0.012663
+0.0107639
+0.00886183
+0.00712743
+0.00554972
+0.00422096
+0.00316806
+0.00239816
+0.00200303
+0.00234571
+0.00328818
+0.00438899
+0.00590895
+0.00741831
+0.00912665
+0.0108528
+0.0126495
+0.0145402
+0.0162776
+0.0180977
+0.0199802
+0.0219093
+0.0238836
+0.0258927
+0.0278958
+0.0298908
+0.0319041
+0.0338367
+0.0357643
+0.0377038
+0.039635
+0.0415807
+0.0435408
+0.0455025
+0.0474842
+0.0494836
+0.0514728
+0.0534497
+0.0554426
+0.05745
+0.0594703
+0.0615022
+0.0625812
+0.0632034
+0.0638868
+0.064602
+0.0653637
+0.06618
+0.0670579
+0.0678165
+0.0682307
+0.0687123
+0.0692598
+0.0698718
+0.0705427
+0.0710567
+0.071634
+0.0722731
+0.0729724
+0.0748921
+0.0738671
+0.0728881
+0.0719556
+0.0710671
+0.0702357
+0.0694635
+0.0687524
+0.0681044
+0.067462
+0.0668757
+0.0663565
+0.0659061
+0.0655259
+0.065213
+0.0649623
+0.0637233
+0.0622215
+0.0607561
+0.0588622
+0.0567018
+0.0545437
+0.0523884
+0.0502362
+0.0480874
+0.0459426
+0.0438023
+0.0416673
+0.0395383
+0.0374165
+0.035303
+0.0331591
+0.0310218
+0.0288924
+0.026773
+0.024666
+0.0225706
+0.0204732
+0.0183972
+0.016351
+0.0143412
+0.0123854
+0.010459
+0.00849323
+0.00664573
+0.00487243
+0.00330989
+0.0020625
+0.0011568
+0.000661266
+0.000941896
+0.00202681
+0.00321853
+0.00451746
+0.00616637
+0.00788433
+0.00971693
+0.011654
+0.01345
+0.0152787
+0.0171771
+0.019138
+0.0210709
+0.0230319
+0.0250311
+0.0270493
+0.0289988
+0.0309294
+0.0328622
+0.0348147
+0.0367539
+0.0387195
+0.0406826
+0.0426633
+0.0446636
+0.046672
+0.0486488
+0.0506411
+0.0526492
+0.0546714
+0.056706
+0.0587519
+0.0608018
+0.0619439
+0.0625644
+0.0632186
+0.0639363
+0.0646964
+0.0655211
+0.0664077
+0.0671184
+0.0675369
+0.0680233
+0.0685764
+0.0691944
+0.0698187
+0.0703379
+0.0709211
+0.0715665
+0.0722708
+0.0740874
+0.073051
+0.0720609
+0.0711177
+0.0702186
+0.069377
+0.0685951
+0.0678749
+0.0672185
+0.0666276
+0.066098
+0.0656169
+0.0651614
+0.0647768
+0.0644479
+0.0641797
+0.0639855
+0.0630723
+0.0610642
+0.0589124
+0.0567578
+0.054602
+0.0524491
+0.0502994
+0.0481535
+0.0460117
+0.0438748
+0.0417435
+0.0396187
+0.0374875
+0.0353404
+0.0331989
+0.0310597
+0.0289236
+0.0267963
+0.0246802
+0.0225782
+0.0204827
+0.0183945
+0.0163285
+0.0142579
+0.0122239
+0.0102547
+0.00830289
+0.0064328
+0.00454311
+0.00277547
+0.00136486
+0.000187456
+-0.000438588
+-0.00017963
+0.000889268
+0.00199438
+0.00336003
+0.00494961
+0.0068337
+0.00882953
+0.0106042
+0.0124742
+0.0143447
+0.0162315
+0.0181866
+0.0201902
+0.0221942
+0.0241688
+0.0261183
+0.0280404
+0.0299994
+0.031949
+0.0339101
+0.0358841
+0.0378623
+0.0398627
+0.0418629
+0.0438618
+0.0458602
+0.0478683
+0.0498918
+0.0519289
+0.0539781
+0.0560342
+0.0580704
+0.0600981
+0.06137
+0.0619594
+0.06262
+0.0633298
+0.0640972
+0.0649294
+0.065824
+0.0664851
+0.0669075
+0.0673986
+0.0679567
+0.0685803
+0.0691564
+0.0696806
+0.0702692
+0.0709186
+0.0716182
+0.0733393
+0.0722921
+0.0712915
+0.0703381
+0.0694289
+0.0685776
+0.0677865
+0.0670576
+0.0663931
+0.0657948
+0.0652646
+0.064798
+0.0643943
+0.0640631
+0.0637323
+0.0634611
+0.0632647
+0.0631437
+0.0611038
+0.0589534
+0.0568062
+0.0546624
+0.0525225
+0.0503869
+0.0482563
+0.0461313
+0.0440127
+0.0419016
+0.039771
+0.0376193
+0.0354724
+0.0333311
+0.0311967
+0.0290707
+0.0269551
+0.0248423
+0.022735
+0.0206449
+0.0185519
+0.0164792
+0.0144157
+0.0123576
+0.010354
+0.00838286
+0.00642043
+0.00461655
+0.00279307
+0.00107249
+-0.000343896
+-0.00121466
+-0.00111168
+-0.000162966
+0.000908383
+0.00222897
+0.00404129
+0.00589625
+0.00768281
+0.00957278
+0.0114427
+0.0133801
+0.0153857
+0.0173635
+0.0193416
+0.0213177
+0.0232507
+0.0251998
+0.0271721
+0.0291304
+0.0311149
+0.0330899
+0.0350888
+0.0370771
+0.0390752
+0.041093
+0.0431138
+0.0451378
+0.0471768
+0.0492216
+0.0512741
+0.0533199
+0.0553482
+0.0573886
+0.0593052
+0.0608321
+0.0614267
+0.0620878
+0.0627939
+0.0635678
+0.0644068
+0.0652909
+0.0659057
+0.0663446
+0.0668398
+0.0674025
+0.0680312
+0.0685579
+0.0690866
+0.0696781
+0.0703218
+0.0710273
+0.072639
+0.0715839
+0.070581
+0.0696187
+0.0686999
+0.0678395
+0.0670397
+0.0663026
+0.0656304
+0.0650251
+0.0644886
+0.0640226
+0.0636223
+0.063287
+0.0630262
+0.0628108
+0.0626123
+0.06249
+0.0612216
+0.0590756
+0.056933
+0.0547941
+0.0526595
+0.0505298
+0.0484054
+0.0462873
+0.0441629
+0.0420447
+0.0399344
+0.0378332
+0.035727
+0.033602
+0.0314859
+0.0293724
+0.0272609
+0.0251557
+0.0230511
+0.0209383
+0.0188434
+0.0167718
+0.0147193
+0.0127104
+0.0107131
+0.008725
+0.00681248
+0.00491631
+0.00315575
+0.00135605
+-0.000144363
+-0.00137013
+-0.00172993
+-0.000889207
+-6.73032e-05
+0.0015818
+0.00313632
+0.00487965
+0.00678831
+0.0086772
+0.0106667
+0.0125854
+0.0145505
+0.0165289
+0.018518
+0.0204441
+0.0224056
+0.0243979
+0.0263745
+0.0283605
+0.0303547
+0.0323251
+0.0343202
+0.0363379
+0.0383746
+0.0404175
+0.0424463
+0.0444878
+0.0465428
+0.0485987
+0.0506267
+0.0526677
+0.0547202
+0.0567087
+0.0584628
+0.0602454
+0.0609681
+0.0616191
+0.0623305
+0.06311
+0.0639547
+0.0646056
+0.0653226
+0.0658498
+0.0663487
+0.0669156
+0.0675488
+0.0680246
+0.0685553
+0.06914
+0.0697887
+0.0704995
+0.0719899
+0.0709332
+0.069921
+0.0689614
+0.0680338
+0.0671648
+0.0663569
+0.0656121
+0.0649328
+0.0643209
+0.0637785
+0.0633072
+0.0629088
+0.062571
+0.0623071
+0.0621194
+0.0620086
+0.0618936
+0.0614175
+0.0592785
+0.0571435
+0.0550128
+0.0528871
+0.050755
+0.0486278
+0.0465066
+0.0443922
+0.0422855
+0.0401878
+0.0381005
+0.0360256
+0.0339651
+0.031886
+0.0297692
+0.027649
+0.0255408
+0.0234477
+0.0213742
+0.0193266
+0.0173129
+0.015333
+0.0133177
+0.0113363
+0.00938844
+0.0074034
+0.00554476
+0.00360261
+0.00183062
+0.00010522
+-0.00129791
+-0.00189287
+-0.00143819
+-0.000301911
+0.000877129
+0.00223108
+0.00408976
+0.00606312
+0.00794063
+0.00985247
+0.0118286
+0.0138388
+0.0157746
+0.0177113
+0.0197013
+0.0217045
+0.0236998
+0.0256696
+0.0276243
+0.0296121
+0.0316266
+0.0336632
+0.035718
+0.0377528
+0.0397938
+0.04185
+0.0439165
+0.0459422
+0.0479824
+0.0500353
+0.0520982
+0.0540939
+0.0559131
+0.0576913
+0.0594971
+0.06058
+0.0612251
+0.0619411
+0.0627253
+0.0633268
+0.063988
+0.0647118
+0.0654247
+0.0659267
+0.0664972
+0.0670889
+0.0675559
+0.0680788
+0.0686677
+0.0693208
+0.0700363
+0.0713925
+0.0703308
+0.0693187
+0.0683414
+0.067419
+0.0665555
+0.06574
+0.0649882
+0.0643023
+0.0636843
+0.0631364
+0.0626603
+0.0622577
+0.0619164
+0.0616497
+0.06146
+0.061348
+0.0613141
+0.0613215
+0.0595587
+0.0574258
+0.0552952
+0.0531692
+0.0510487
+0.0489343
+0.046827
+0.0447277
+0.0426376
+0.0405581
+0.0384881
+0.0364308
+0.0343898
+0.0323354
+0.0302365
+0.0281516
+0.026084
+0.0240383
+0.0220142
+0.0199597
+0.0179295
+0.0159379
+0.014006
+0.0119517
+0.00993174
+0.00800208
+0.00610577
+0.00415518
+0.00229339
+0.000574793
+-0.000895379
+-0.00163025
+-0.00139038
+-0.000561667
+0.000603708
+0.00192208
+0.00359177
+0.00544307
+0.00731693
+0.00929834
+0.0112846
+0.0131666
+0.01512
+0.0171309
+0.0190934
+0.0210747
+0.0230063
+0.0249772
+0.0269821
+0.0290139
+0.0310627
+0.0331187
+0.0351557
+0.0372102
+0.0392685
+0.0413074
+0.0433443
+0.0453955
+0.0474508
+0.0494683
+0.0514727
+0.0534213
+0.055193
+0.0569937
+0.0588209
+0.0602577
+0.0609075
+0.0616236
+0.0621437
+0.062736
+0.0633985
+0.064129
+0.0649253
+0.0655753
+0.0661488
+0.0666857
+0.0671439
+0.06767
+0.0682624
+0.0689193
+0.069639
+0.0708529
+0.0697842
+0.0687686
+0.067786
+0.066856
+0.0659856
+0.0651772
+0.0644327
+0.0637408
+0.0631174
+0.0625645
+0.062084
+0.0616777
+0.0613331
+0.0610638
+0.0608723
+0.0607592
+0.060725
+0.0607698
+0.0598893
+0.0577687
+0.0556512
+0.0535393
+0.0514341
+0.0493345
+0.0472416
+0.0451579
+0.0430849
+0.041024
+0.0389774
+0.0369116
+0.0348443
+0.032793
+0.0307609
+0.0287522
+0.0267253
+0.0246742
+0.0226429
+0.0206413
+0.0186287
+0.0166384
+0.0146094
+0.0126346
+0.0106224
+0.00866952
+0.0068173
+0.00499515
+0.00328034
+0.00157927
+0.000170951
+-0.00116558
+-0.00136768
+-0.000513411
+0.000540577
+0.00194449
+0.0034757
+0.00509521
+0.00692755
+0.00889028
+0.010771
+0.0127337
+0.0146091
+0.0165602
+0.0185328
+0.0204656
+0.0224417
+0.0244482
+0.0264839
+0.0285426
+0.0305989
+0.0326462
+0.0346863
+0.0367279
+0.0387601
+0.0407952
+0.0428456
+0.0449006
+0.0468955
+0.0489073
+0.0509338
+0.0527454
+0.054539
+0.0563607
+0.0582077
+0.0599995
+0.0606026
+0.0610528
+0.0615777
+0.0621753
+0.0628438
+0.0635807
+0.0643837
+0.0652504
+0.065871
+0.0663407
+0.0668013
+0.06733
+0.0679253
+0.0685855
+0.0693087
+0.0703774
+0.0693013
+0.0682786
+0.0672973
+0.0663605
+0.0654835
+0.0646689
+0.063919
+0.0632362
+0.0626188
+0.0620647
+0.0615803
+0.0611706
+0.0608231
+0.0605516
+0.0603585
+0.0602444
+0.0602099
+0.0602551
+0.0602978
+0.0581884
+0.0560836
+0.0539856
+0.0518953
+0.0498136
+0.0477416
+0.0456808
+0.0436239
+0.041544
+0.0394762
+0.0374223
+0.0353848
+0.0333667
+0.0313719
+0.0294049
+0.0274137
+0.0253774
+0.023358
+0.0213463
+0.0193389
+0.017359
+0.015343
+0.0133822
+0.0114974
+0.00963895
+0.0077916
+0.00611636
+0.00441349
+0.00267723
+0.00099599
+-0.000391536
+-0.00100371
+-0.000273103
+0.000686374
+0.00198408
+0.00357305
+0.00516047
+0.00675957
+0.00854281
+0.0104623
+0.0123147
+0.0142518
+0.0161439
+0.0180699
+0.0200352
+0.022043
+0.0240827
+0.0260962
+0.0281311
+0.0301878
+0.0322189
+0.0342475
+0.0362712
+0.0383132
+0.0403708
+0.0423903
+0.04439
+0.0464042
+0.048432
+0.0503683
+0.0521516
+0.0539649
+0.0558053
+0.0576702
+0.0595572
+0.0601019
+0.0605558
+0.061085
+0.0616874
+0.0623611
+0.0631036
+0.0639126
+0.0647857
+0.0656594
+0.0660665
+0.066529
+0.0670599
+0.0676576
+0.0683203
+0.0690463
+0.0699604
+0.0688848
+0.0678558
+0.0668769
+0.0659341
+0.0650514
+0.0642313
+0.0634762
+0.0627886
+0.0621667
+0.0616145
+0.0611358
+0.0607324
+0.0603884
+0.060115
+0.0599204
+0.0598055
+0.0597707
+0.0598162
+0.0599418
+0.0586769
+0.0565903
+0.0545118
+0.0524425
+0.0503834
+0.048308
+0.0462313
+0.0441656
+0.0421125
+0.040074
+0.0380524
+0.0360505
+0.0340719
+0.0321201
+0.0301598
+0.0281386
+0.0261171
+0.0241141
+0.0221317
+0.0201457
+0.0181749
+0.0162604
+0.0143908
+0.0125308
+0.0107219
+0.00902958
+0.00734776
+0.00551676
+0.00366766
+0.00210945
+0.000666367
+-0.000255896
+0.000198928
+0.00107124
+0.00216471
+0.00364363
+0.00520387
+0.006831
+0.00847295
+0.0102487
+0.0121338
+0.0139976
+0.0158902
+0.0178392
+0.0197839
+0.0217561
+0.0237591
+0.0257919
+0.0278418
+0.0298561
+0.0318581
+0.0338828
+0.035927
+0.0379771
+0.0399522
+0.0419487
+0.0439636
+0.0459947
+0.0480271
+0.0498425
+0.0516439
+0.0534745
+0.0553312
+0.0572115
+0.0591132
+0.0596775
+0.0601346
+0.0606674
+0.061274
+0.0619521
+0.0626995
+0.0635137
+0.0643921
+0.0653323
+0.0658537
+0.0663176
+0.0668502
+0.0674498
+0.0681146
+0.0688426
+0.0695984
+0.0685171
+0.0674896
+0.0665184
+0.0655744
+0.0646868
+0.063862
+0.0631026
+0.0624108
+0.0617888
+0.0612334
+0.0607517
+0.0603458
+0.0600171
+0.0597554
+0.0595597
+0.0594441
+0.0594091
+0.0594549
+0.0595812
+0.0592425
+0.0571765
+0.0551127
+0.053031
+0.0509584
+0.048896
+0.0468454
+0.044808
+0.0427857
+0.0407809
+0.0387961
+0.0368304
+0.0348851
+0.0329412
+0.0309195
+0.0289196
+0.0269493
+0.0249694
+0.0230122
+0.0210817
+0.0191959
+0.0173065
+0.0154967
+0.0137261
+0.0119699
+0.0102464
+0.00836859
+0.00656836
+0.00488763
+0.00321899
+0.00192997
+0.000907006
+0.00104156
+0.00171946
+0.00264815
+0.00388122
+0.00534243
+0.00699138
+0.00865555
+0.0103194
+0.0120672
+0.0139187
+0.0157701
+0.017666
+0.0195964
+0.0215766
+0.0235939
+0.0256318
+0.0276
+0.029591
+0.0316056
+0.0336422
+0.0356329
+0.0376035
+0.0395971
+0.0416107
+0.0436412
+0.045662
+0.0475839
+0.0494083
+0.051225
+0.05307
+0.0549404
+0.0568336
+0.0587476
+0.059331
+0.0597907
+0.0603266
+0.0609366
+0.0616184
+0.0623698
+0.0631882
+0.0640711
+0.0650159
+0.0657095
+0.0661745
+0.0667083
+0.0673091
+0.0679752
+0.0687048
+0.0693038
+0.0682178
+0.0671857
+0.06621
+0.0652806
+0.0643889
+0.0635603
+0.0627972
+0.062102
+0.0614771
+0.0609245
+0.0604447
+0.0600366
+0.0597062
+0.0594548
+0.0592778
+0.0591617
+0.0591265
+0.0591725
+0.0592994
+0.0595068
+0.0577831
+0.055715
+0.0536567
+0.0516092
+0.0495739
+0.0475525
+0.0455467
+0.0435587
+0.0415836
+0.0396294
+0.0377012
+0.035748
+0.0337498
+0.031777
+0.0298116
+0.0278626
+0.025932
+0.0240364
+0.0221291
+0.0202764
+0.0184978
+0.0167015
+0.0149688
+0.0131823
+0.0113411
+0.0095727
+0.0076937
+0.00600508
+0.00450668
+0.00322526
+0.00236599
+0.0021559
+0.00262561
+0.00338495
+0.00448715
+0.00577976
+0.00737534
+0.00893659
+0.0106333
+0.0122779
+0.0139623
+0.0157717
+0.0176562
+0.0195881
+0.0215695
+0.0235765
+0.0255018
+0.0274669
+0.0294639
+0.0314751
+0.0334117
+0.0353703
+0.0373547
+0.039361
+0.041386
+0.0433893
+0.0453352
+0.0471717
+0.0490372
+0.050897
+0.0527534
+0.0546347
+0.0565382
+0.0584618
+0.0590636
+0.0595254
+0.0600637
+0.0606763
+0.061361
+0.0621155
+0.0629372
+0.0638236
+0.0647619
+0.0656382
+0.0661037
+0.066638
+0.0672395
+0.0679063
+0.0686366
+0.0690676
+0.0679809
+0.0669482
+0.0659721
+0.0650419
+0.0641614
+0.0633329
+0.062567
+0.0618692
+0.0612419
+0.0606873
+0.0602072
+0.0598037
+0.0594745
+0.0592221
+0.0590499
+0.0589586
+0.0589241
+0.0589702
+0.0590976
+0.0593057
+0.0584401
+0.0563961
+0.0543635
+0.0523437
+0.0503381
+0.0483466
+0.046367
+0.0444071
+0.0424698
+0.0405583
+0.0385973
+0.0366235
+0.0346696
+0.0327166
+0.0307883
+0.028889
+0.026979
+0.0251019
+0.0232797
+0.0215
+0.0197021
+0.0179659
+0.0161272
+0.0143301
+0.012387
+0.0105414
+0.00884223
+0.00725264
+0.00586316
+0.00463911
+0.00376393
+0.00339028
+0.00366589
+0.00440243
+0.00531049
+0.00651421
+0.00791844
+0.00942509
+0.0110489
+0.0126121
+0.0142689
+0.0160542
+0.0179082
+0.0198155
+0.0217385
+0.0236127
+0.0255123
+0.0274554
+0.0294238
+0.0313397
+0.0332761
+0.0352422
+0.0372335
+0.0392342
+0.0412237
+0.0431777
+0.0450091
+0.0468583
+0.0487358
+0.0506385
+0.0525264
+0.0544155
+0.0563264
+0.058257
+0.0588617
+0.0593251
+0.0598652
+0.0604798
+0.0611667
+0.0619236
+0.0627478
+0.0636368
+0.0645772
+0.0655737
+0.0661055
+0.0666398
+0.0672412
+0.067908
+0.0686383
+0.0688944
+0.0678072
+0.0667719
+0.0657932
+0.0648603
+0.0639773
+0.063158
+0.0624048
+0.0617108
+0.0610845
+0.0605284
+0.0600471
+0.0596424
+0.059316
+0.059069
+0.0588971
+0.0588057
+0.0587948
+0.058841
+0.0589687
+0.0591772
+0.0591709
+0.057153
+0.0551483
+0.0531534
+0.0511722
+0.0492086
+0.0472651
+0.0453441
+0.0434367
+0.0414822
+0.0395311
+0.0375803
+0.0356412
+0.0337317
+0.0318438
+0.0299512
+0.0281019
+0.026305
+0.0245005
+0.0227289
+0.0209256
+0.0190761
+0.0171254
+0.0152281
+0.0134157
+0.0117067
+0.0101252
+0.00862072
+0.00720747
+0.00607756
+0.00525841
+0.00487149
+0.00492672
+0.00549771
+0.0063474
+0.00743389
+0.00873499
+0.0101053
+0.0116092
+0.0131462
+0.0147954
+0.0164944
+0.0182363
+0.0200445
+0.0219045
+0.0237419
+0.025632
+0.0275329
+0.0294437
+0.0313485
+0.0332843
+0.0352342
+0.0371899
+0.0391656
+0.0410846
+0.0429612
+0.0447878
+0.0466458
+0.0485315
+0.0504419
+0.0523743
+0.0542839
+0.0561993
+0.0581342
+0.0587401
+0.0592045
+0.0597456
+0.0603614
+0.0610497
+0.061808
+0.0626338
+0.0635244
+0.0644663
+0.0654645
+0.0661798
+0.0667135
+0.0673143
+0.0679804
+0.0687099
+0.0687794
+0.0676916
+0.0666582
+0.0656815
+0.0647524
+0.0638679
+0.0630472
+0.0622927
+0.0616069
+0.0609867
+0.0604339
+0.0599561
+0.0595551
+0.0592319
+0.0589846
+0.0588179
+0.0587325
+0.0587241
+0.0587853
+0.058913
+0.0591218
+0.0594106
+0.0579756
+0.0559935
+0.0540276
+0.0520796
+0.0501516
+0.048246
+0.0463316
+0.0443959
+0.0424491
+0.0405051
+0.0385876
+0.0367006
+0.0348142
+0.0329466
+0.031121
+0.0293321
+0.0275227
+0.0257189
+0.0238723
+0.0219148
+0.020001
+0.0181499
+0.0163658
+0.0146621
+0.0130645
+0.0114939
+0.0100043
+0.00873488
+0.0077033
+0.00689025
+0.00639343
+0.00631549
+0.00674056
+0.00750046
+0.00848953
+0.00965867
+0.010973
+0.0123712
+0.0139119
+0.0154306
+0.0170189
+0.018712
+0.020415
+0.0221981
+0.023992
+0.0258224
+0.027649
+0.0295209
+0.0314331
+0.0333556
+0.035279
+0.0371547
+0.0390181
+0.040914
+0.042838
+0.044673
+0.0465356
+0.0484256
+0.05034
+0.0522762
+0.0542317
+0.0560884
+0.0574482
+0.0587001
+0.0591647
+0.0597062
+0.0603225
+0.0610112
+0.0617699
+0.0625962
+0.0634874
+0.0644298
+0.0654286
+0.0663265
+0.066859
+0.0674585
+0.0681231
+0.0688511
+0.0687333
+0.0676455
+0.0666113
+0.065634
+0.0647161
+0.0638335
+0.0630124
+0.0622574
+0.0615713
+0.0609561
+0.0604128
+0.059935
+0.0595339
+0.0592105
+0.0589631
+0.0587963
+0.0587109
+0.0587071
+0.0587851
+0.0589353
+0.0591475
+0.0594361
+0.0588597
+0.0569084
+0.0549751
+0.0530619
+0.0511654
+0.0492512
+0.0473232
+0.0453765
+0.043453
+0.041556
+0.039686
+0.0378051
+0.0359593
+0.0341544
+0.0323444
+0.0305243
+0.0286525
+0.0267437
+0.0248156
+0.0229346
+0.0211134
+0.0193439
+0.0176557
+0.0159842
+0.0143517
+0.012862
+0.0115332
+0.0103354
+0.00924315
+0.0084234
+0.00794056
+0.00780369
+0.00806808
+0.0087575
+0.0096681
+0.0107649
+0.0119364
+0.0132072
+0.0146313
+0.0161448
+0.017702
+0.0192959
+0.0209467
+0.0226215
+0.0243494
+0.0260995
+0.0279037
+0.0297596
+0.0316316
+0.0334811
+0.0352666
+0.0370956
+0.0389618
+0.0408603
+0.0427868
+0.0446654
+0.0465283
+0.0484187
+0.0503333
+0.0520836
+0.0533683
+0.0547083
+0.0561016
+0.0575402
+0.0590122
+0.0597472
+0.060363
+0.0610513
+0.0618096
+0.0626353
+0.0635259
+0.0644678
+0.065466
+0.0665214
+0.0670757
+0.0676733
+0.0683359
+0.0690616
+0.0687451
+0.0676644
+0.0666305
+0.0656534
+0.0647358
+0.0638743
+0.0630537
+0.0622993
+0.0616136
+0.0609988
+0.0604573
+0.0599909
+0.0595932
+0.0592702
+0.059023
+0.0588564
+0.0587711
+0.0587673
+0.0588451
+0.0589953
+0.0592247
+0.0595338
+0.0598109
+0.0578917
+0.0559924
+0.0540903
+0.0521914
+0.0502531
+0.0483251
+0.0464205
+0.0445421
+0.0426728
+0.040812
+0.0389855
+0.0371734
+0.0353403
+0.0334669
+0.0315941
+0.0296576
+0.027759
+0.0259065
+0.0241086
+0.0223531
+0.0206312
+0.0188933
+0.0172579
+0.0157345
+0.0143116
+0.0129511
+0.0117594
+0.0107587
+0.00996777
+0.00946577
+0.00925918
+0.0094082
+0.00990217
+0.0107655
+0.0118416
+0.0128984
+0.0141521
+0.0155073
+0.0168747
+0.018349
+0.0199243
+0.0215621
+0.0231408
+0.0247954
+0.0264975
+0.0282424
+0.0300457
+0.0318279
+0.0335588
+0.0353404
+0.0371657
+0.0390286
+0.040924
+0.0428476
+0.0447652
+0.0466192
+0.0482416
+0.049432
+0.0506893
+0.0520084
+0.0533779
+0.054788
+0.0562482
+0.0577531
+0.059292
+0.0604208
+0.061127
+0.0618993
+0.0627387
+0.0636399
+0.0645801
+0.0655766
+0.0666302
+0.067363
+0.0679581
+0.0686179
+0.0693407
+0.0688053
+0.0677317
+0.0667128
+0.0657379
+0.0648214
+0.0639669
+0.063171
+0.062418
+0.0617336
+0.0611201
+0.0605797
+0.0601142
+0.0597256
+0.059409
+0.0591624
+0.0589962
+0.058911
+0.0589073
+0.058985
+0.0591363
+0.0593652
+0.0596737
+0.0600605
+0.0589392
+0.0570335
+0.0551336
+0.0532021
+0.0512914
+0.049404
+0.0475425
+0.0456745
+0.0438316
+0.0420071
+0.0401676
+0.0383027
+0.0364353
+0.0345157
+0.0326056
+0.0307329
+0.028905
+0.0271177
+0.0253503
+0.0235664
+0.0218541
+0.0202212
+0.018631
+0.0170706
+0.0156443
+0.0143807
+0.0132931
+0.0123184
+0.0115076
+0.0109659
+0.0107293
+0.0108256
+0.0112279
+0.0119282
+0.0128983
+0.013901
+0.0150899
+0.0163535
+0.0176263
+0.0190653
+0.0205838
+0.0220905
+0.0236684
+0.025291
+0.0269523
+0.0286739
+0.0303439
+0.0320596
+0.0337787
+0.0355493
+0.0373644
+0.0392179
+0.0411046
+0.0430201
+0.0445936
+0.0456823
+0.0468353
+0.0480606
+0.0493509
+0.0506837
+0.0520747
+0.0535192
+0.055013
+0.0565508
+0.0581216
+0.0597314
+0.0610962
+0.0618689
+0.0627086
+0.0636128
+0.0645786
+0.0656033
+0.0666705
+0.06772
+0.068312
+0.0689684
+0.0696876
+0.0689286
+0.0678569
+0.0668399
+0.06588
+0.0649799
+0.0641285
+0.0633404
+0.0626132
+0.061931
+0.0613194
+0.0607808
+0.0603169
+0.0599295
+0.0596202
+0.059376
+0.0592104
+0.0591255
+0.0591218
+0.0591992
+0.0593573
+0.059586
+0.0598933
+0.0602787
+0.0599923
+0.0580827
+0.0561672
+0.0542724
+0.0524008
+0.0505439
+0.0486882
+0.0468476
+0.0450102
+0.0431526
+0.0412721
+0.0393837
+0.0374656
+0.035579
+0.0337292
+0.0319225
+0.0301255
+0.0283035
+0.0265373
+0.0248342
+0.0231373
+0.0214865
+0.0199296
+0.0184642
+0.0171366
+0.015936
+0.014864
+0.0138968
+0.0130952
+0.0125638
+0.0122726
+0.012281
+0.0126137
+0.0132269
+0.014042
+0.0150105
+0.0161093
+0.0173168
+0.01853
+0.0198979
+0.0212915
+0.0227881
+0.0242858
+0.0258446
+0.027469
+0.029088
+0.0307209
+0.0324197
+0.0341381
+0.0358909
+0.0376896
+0.0395278
+0.0411874
+0.0421409
+0.0431846
+0.044303
+0.0454911
+0.0467327
+0.0480383
+0.0494066
+0.0508325
+0.0523113
+0.0538386
+0.0554091
+0.0570114
+0.0586516
+0.0603269
+0.0619019
+0.0627412
+0.0636449
+0.0646102
+0.0656337
+0.0667003
+0.067821
+0.0687339
+0.0693863
+0.0701012
+0.0691211
+0.0680525
+0.0670384
+0.0660814
+0.0651841
+0.0643488
+0.0635781
+0.0628588
+0.0621884
+0.0615795
+0.0610431
+0.0605812
+0.0601956
+0.0598876
+0.0596586
+0.0595045
+0.0594201
+0.0594163
+0.0594933
+0.0596507
+0.0598862
+0.060192
+0.0605755
+0.0610353
+0.0591458
+0.0572659
+0.0554087
+0.0535525
+0.0516991
+0.0498677
+0.0480124
+0.0461219
+0.0442295
+0.0423091
+0.0404161
+0.0385548
+0.0367298
+0.034922
+0.0330675
+0.0312565
+0.0294947
+0.0277729
+0.0260516
+0.0244013
+0.0228415
+0.0213558
+0.0199869
+0.0186845
+0.0175152
+0.0164332
+0.0154657
+0.014721
+0.0141673
+0.0138533
+0.0138389
+0.0140784
+0.0145402
+0.01526
+0.0161737
+0.0172105
+0.0184036
+0.0195585
+0.0208181
+0.02214
+0.0235573
+0.025004
+0.0265126
+0.0280634
+0.0296434
+0.0312473
+0.032919
+0.0346326
+0.0363616
+0.0378401
+0.0387241
+0.0397094
+0.0407596
+0.0418377
+0.0429772
+0.0441767
+0.0454501
+0.0467915
+0.0481952
+0.0496559
+0.0511687
+0.0527292
+0.0543317
+0.0559649
+0.057635
+0.0593389
+0.0610739
+0.0628373
+0.0637515
+0.0647153
+0.0657371
+0.0668021
+0.0679211
+0.0690914
+0.0698705
+0.0705805
+0.0693823
+0.0683178
+0.0673077
+0.0663546
+0.065461
+0.0646293
+0.063862
+0.063146
+0.0624844
+0.0618934
+0.061369
+0.0609096
+0.060526
+0.0602198
+0.059992
+0.0598436
+0.0597752
+0.059787
+0.0598663
+0.0600227
+0.0602584
+0.0605684
+0.0609496
+0.0614065
+0.0602699
+0.0584224
+0.0565587
+0.0547146
+0.0528793
+0.0509811
+0.0490786
+0.0471522
+0.0452497
+0.0433745
+0.0415302
+0.0397183
+0.0378452
+0.0360079
+0.0342087
+0.0324508
+0.0307156
+0.029004
+0.0273564
+0.0257882
+0.0242833
+0.0228663
+0.0215067
+0.0202389
+0.0190771
+0.017985
+0.0170744
+0.0163383
+0.0158045
+0.0155101
+0.0154257
+0.0155642
+0.0159425
+0.016583
+0.0174084
+0.0183846
+0.0194936
+0.0206266
+0.0218827
+0.0231439
+0.0244643
+0.0258288
+0.0272743
+0.0287665
+0.0303272
+0.0319157
+0.0335429
+0.0347674
+0.0354578
+0.0362677
+0.0371891
+0.038214
+0.0393344
+0.0405397
+0.0416942
+0.0429295
+0.0442389
+0.0456159
+0.0470547
+0.0485497
+0.050096
+0.0516888
+0.0533227
+0.0549858
+0.0566847
+0.0584164
+0.060178
+0.0619669
+0.063781
+0.0648941
+0.0659132
+0.0669754
+0.0680915
+0.0692589
+0.0703056
+0.0709327
+0.0697114
+0.068652
+0.0676469
+0.0666986
+0.0658097
+0.0649825
+0.0642193
+0.0635076
+0.0628498
+0.0622622
+0.0617468
+0.0613053
+0.0609335
+0.0606293
+0.0604031
+0.0602557
+0.0601878
+0.0601995
+0.0602909
+0.0604616
+0.0607058
+0.0610175
+0.0613996
+0.0618532
+0.0614245
+0.0595698
+0.0577388
+0.0558471
+0.0539367
+0.0520056
+0.0500959
+0.0482101
+0.0463511
+0.0445223
+0.0426503
+0.0407931
+0.038964
+0.0371726
+0.0354262
+0.0336772
+0.0319787
+0.03034
+0.0287663
+0.0272485
+0.0257772
+0.0243651
+0.0230567
+0.0217933
+0.0206228
+0.0196133
+0.0187388
+0.0180395
+0.0175024
+0.0171608
+0.0170059
+0.0170913
+0.0174204
+0.0179697
+0.0186763
+0.0195489
+0.0205888
+0.0217757
+0.0229877
+0.0241441
+0.0253836
+0.0267011
+0.0281199
+0.0295605
+0.031043
+0.0320848
+0.0325667
+0.0331835
+0.0339143
+0.0347623
+0.0357225
+0.0367883
+0.0379508
+0.0392013
+0.0404892
+0.0417602
+0.0431051
+0.0445172
+0.0459904
+0.0475189
+0.0490976
+0.0507176
+0.0523729
+0.0540662
+0.0557942
+0.0575538
+0.059342
+0.0611564
+0.0629948
+0.064855
+0.0661614
+0.0672196
+0.0683318
+0.0694952
+0.0705913
+0.0710463
+0.0701014
+0.0690499
+0.0680527
+0.067111
+0.0662276
+0.0654057
+0.0646475
+0.0639423
+0.063289
+0.0627055
+0.0621937
+0.0617555
+0.0613923
+0.0611056
+0.0608902
+0.060744
+0.0606766
+0.0606883
+0.060779
+0.0609483
+0.0611956
+0.0615126
+0.0618979
+0.0623578
+0.0625895
+0.0607183
+0.0588015
+0.0568668
+0.0549514
+0.0530572
+0.0511868
+0.0493427
+0.0474744
+0.0455995
+0.0437508
+0.041935
+0.0401567
+0.0384027
+0.0366614
+0.0349706
+0.0333381
+0.0317656
+0.0301963
+0.0286877
+0.0272701
+0.0259039
+0.0245932
+0.0233708
+0.0222641
+0.0212924
+0.0204392
+0.0197239
+0.0191855
+0.0188055
+0.0186314
+0.0186854
+0.0189111
+0.019375
+0.020022
+0.0208361
+0.0218275
+0.022956
+0.0241614
+0.0252645
+0.0264484
+0.0277195
+0.0290446
+0.0299334
+0.0301538
+0.0305091
+0.0310153
+0.0316612
+0.0324264
+0.0333182
+0.0343269
+0.0354398
+0.0366451
+0.0379386
+0.0393118
+0.0406741
+0.0420537
+0.0435
+0.0450065
+0.0465668
+0.0481658
+0.0498095
+0.051494
+0.0532153
+0.0549701
+0.0567552
+0.0585678
+0.0604055
+0.062266
+0.06414
+0.0660066
+0.0675298
+0.0686376
+0.0697959
+0.070431
+0.0708871
+0.0705502
+0.0695039
+0.0685113
+0.0675752
+0.0666979
+0.0658818
+0.0651293
+0.0644424
+0.0638004
+0.0632216
+0.0627141
+0.0622795
+0.0619194
+0.0616351
+0.0614277
+0.0612961
+0.0612293
+0.0612409
+0.0613307
+0.0614985
+0.0617437
+0.0620652
+0.0624503
+0.0629061
+0.0634344
+0.0617339
+0.0598139
+0.057913
+0.0560334
+0.0541771
+0.0523105
+0.0504226
+0.0485598
+0.0467255
+0.0449232
+0.0431568
+0.0413941
+0.0396631
+0.0379796
+0.036343
+0.0347086
+0.0331311
+0.0316107
+0.0301675
+0.0287335
+0.0273947
+0.02614
+0.0249923
+0.0239312
+0.0229569
+0.0221136
+0.0214234
+0.0208702
+0.0204608
+0.0202682
+0.0202708
+0.0204711
+0.0208947
+0.0214922
+0.0222522
+0.0231837
+0.0242489
+0.0253973
+0.0264611
+0.0275546
+0.0284037
+0.0283087
+0.028383
+0.0286253
+0.0290119
+0.0295438
+0.0302212
+0.0310218
+0.0319529
+0.0330033
+0.0341599
+0.0354088
+0.0367459
+0.038162
+0.039638
+0.0410717
+0.0425513
+0.0440902
+0.0456814
+0.0473102
+0.0489826
+0.0506946
+0.0524422
+0.054222
+0.0560309
+0.0578662
+0.0597255
+0.0616066
+0.0634814
+0.0651412
+0.0667603
+0.0684112
+0.0699436
+0.0703346
+0.0707855
+0.0710598
+0.0700207
+0.0690356
+0.0681067
+0.0672364
+0.0664269
+0.0656806
+0.0649995
+0.0643737
+0.0638019
+0.063299
+0.0628684
+0.0625117
+0.0622301
+0.0620247
+0.0618962
+0.061845
+0.0618617
+0.0619507
+0.0621168
+0.0623595
+0.0626779
+0.0630708
+0.0635253
+0.0640485
+0.0627755
+0.0608883
+0.0590165
+0.0571553
+0.055259
+0.0533852
+0.0515364
+0.0497154
+0.0479253
+0.0461614
+0.0444
+0.0426785
+0.0409947
+0.0393095
+0.0376765
+0.0360932
+0.0345573
+0.0330472
+0.0316066
+0.0302364
+0.0289625
+0.0277736
+0.0266379
+0.025587
+0.0246392
+0.0238242
+0.0231349
+0.0225544
+0.0221548
+0.0219467
+0.021945
+0.0221302
+0.0225035
+0.0230506
+0.0237608
+0.0246243
+0.0256314
+0.0266985
+0.0275859
+0.0271708
+0.0269281
+0.0268284
+0.0269068
+0.0271622
+0.0275785
+0.0281376
+0.0288525
+0.02971
+0.0306835
+0.0317759
+0.0329755
+0.0342676
+0.0356475
+0.0371056
+0.0386219
+0.0401845
+0.0416957
+0.043265
+0.0448855
+0.0465421
+0.0482412
+0.0499786
+0.0517503
+0.0535531
+0.0553839
+0.05724
+0.0591189
+0.0609543
+0.0625283
+0.0641384
+0.0657822
+0.067457
+0.0691607
+0.0702972
+0.0707484
+0.0716324
+0.0706018
+0.0696249
+0.068704
+0.0678413
+0.0670391
+0.0662997
+0.0656177
+0.0649956
+0.064442
+0.0639459
+0.0635197
+0.0631667
+0.062888
+0.0626848
+0.0625576
+0.062507
+0.0625331
+0.0626358
+0.0628024
+0.0630424
+0.0633572
+0.0637459
+0.0642069
+0.0647309
+0.0638641
+0.0619951
+0.0601054
+0.0582227
+0.0563623
+0.0545264
+0.0527177
+0.0509389
+0.0491687
+0.0474179
+0.045698
+0.0439748
+0.042295
+0.0406638
+0.0390649
+0.0374822
+0.0359615
+0.0345129
+0.033124
+0.0318192
+0.0305472
+0.0293442
+0.0282412
+0.0272647
+0.0263367
+0.0255232
+0.0248542
+0.0242913
+0.0239017
+0.023709
+0.023687
+0.0238551
+0.0241867
+0.0246892
+0.0253393
+0.0261363
+0.0270876
+0.0268268
+0.0262174
+0.0257802
+0.0255243
+0.0254301
+0.0255128
+0.025782
+0.0262321
+0.0268318
+0.0275807
+0.0284764
+0.0294964
+0.0306393
+0.0318918
+0.0332318
+0.034653
+0.0361511
+0.0377059
+0.0393175
+0.0409394
+0.0425367
+0.0441839
+0.0458659
+0.0475891
+0.0493494
+0.051143
+0.0529665
+0.0548168
+0.0566915
+0.0584005
+0.0599615
+0.0615608
+0.0631957
+0.0648633
+0.0665613
+0.0682873
+0.0700393
+0.0707791
+0.072267
+0.0712456
+0.0702776
+0.0693653
+0.068511
+0.0677168
+0.0669821
+0.0663004
+0.0656847
+0.0651369
+0.0646588
+0.0642391
+0.0638901
+0.0636146
+0.0634137
+0.0632879
+0.0632379
+0.0632638
+0.0633654
+0.0635424
+0.0637824
+0.0640936
+0.0644779
+0.0649337
+0.0654598
+0.0649596
+0.0630697
+0.0611998
+0.0593518
+0.057528
+0.0557305
+0.0539377
+0.0521701
+0.0504357
+0.048686
+0.0469703
+0.0452838
+0.043638
+0.0420202
+0.040433
+0.0389042
+0.0374413
+0.0360466
+0.0346884
+0.033349
+0.0321032
+0.0309505
+0.0299036
+0.0289264
+0.0280472
+0.0272644
+0.0266077
+0.026069
+0.0257064
+0.0255264
+0.0254982
+0.0256376
+0.025914
+0.0263663
+0.0269865
+0.0273214
+0.0263696
+0.0255706
+0.0249369
+0.0244773
+0.0242079
+0.0241342
+0.0242254
+0.0245087
+0.0249817
+0.0256338
+0.0264295
+0.027363
+0.0284229
+0.0296072
+0.0309017
+0.0322922
+0.0337532
+0.0352896
+0.0368921
+0.0385428
+0.0402402
+0.0419104
+0.0435812
+0.0452856
+0.0470301
+0.0488106
+0.0506233
+0.0524622
+0.0543253
+0.0559018
+0.0574471
+0.0590333
+0.0606572
+0.0623157
+0.0640063
+0.0657264
+0.0674738
+0.0692464
+0.0708775
+0.0729618
+0.0719503
+0.0709919
+0.0700889
+0.0692435
+0.0684578
+0.0677219
+0.0670477
+0.066439
+0.0658974
+0.0654249
+0.0650227
+0.0646796
+0.0644075
+0.0642091
+0.0640849
+0.0640355
+0.064061
+0.0641613
+0.0643362
+0.0645849
+0.0648957
+0.0652752
+0.0657255
+0.0662453
+0.0660463
+0.0641883
+0.062352
+0.0605341
+0.0587207
+0.056933
+0.0551713
+0.0534107
+0.0516584
+0.0499399
+0.0482544
+0.0466105
+0.0449934
+0.0434042
+0.0418596
+0.0403516
+0.0389085
+0.0375288
+0.036199
+0.0349175
+0.0337228
+0.0326045
+0.0315779
+0.0306541
+0.0297946
+0.0290493
+0.0284035
+0.0278996
+0.0275512
+0.0273505
+0.0273146
+0.0274298
+0.0276904
+0.0281141
+0.027366
+0.0262609
+0.0252798
+0.0244452
+0.0237824
+0.0233001
+0.0230169
+0.0229404
+0.0230412
+0.023339
+0.0238352
+0.0245176
+0.0253679
+0.0263586
+0.0274721
+0.0287054
+0.0300389
+0.0314676
+0.0329651
+0.0345366
+0.0361725
+0.0378618
+0.0395956
+0.0413727
+0.0430817
+0.0448028
+0.0465602
+0.048353
+0.0501774
+0.0519868
+0.0534658
+0.0549924
+0.0565626
+0.0581729
+0.0598201
+0.0615012
+0.0632136
+0.0649547
+0.0667223
+0.0685143
+0.070329
+0.073708
+0.0727068
+0.0717585
+0.0708653
+0.0700293
+0.0692525
+0.0685237
+0.0678575
+0.0672561
+0.0667213
+0.0662545
+0.0658574
+0.0655312
+0.0652644
+0.0650685
+0.064946
+0.0648972
+0.0649224
+0.0650214
+0.065194
+0.0654394
+0.0657569
+0.0661355
+0.06658
+0.0670932
+0.0666653
+0.0649118
+0.0631856
+0.061489
+0.0598204
+0.0581486
+0.0563733
+0.0546281
+0.0529159
+0.0512342
+0.0495824
+0.0479612
+0.0463412
+0.0447698
+0.0432523
+0.0417945
+0.0403954
+0.039064
+0.0377636
+0.036523
+0.0353606
+0.0342928
+0.0333121
+0.032418
+0.031583
+0.03086
+0.0302386
+0.0297566
+0.0294081
+0.0292201
+0.0291666
+0.0292685
+0.0291148
+0.0277347
+0.0264641
+0.0253197
+0.0243191
+0.0234451
+0.0227452
+0.02224
+0.0219428
+0.0218621
+0.0220004
+0.0223179
+0.0228363
+0.0235462
+0.0244303
+0.0254726
+0.0266378
+0.0279126
+0.029296
+0.030766
+0.0322987
+0.0339038
+0.0355709
+0.0372899
+0.0390491
+0.04085
+0.0426705
+0.0444042
+0.0461768
+0.0479839
+0.0496469
+0.0511017
+0.0526056
+0.0541564
+0.0557501
+0.0573832
+0.0590525
+0.0607548
+0.0624877
+0.0642484
+0.0660349
+0.0678452
+0.0696772
+0.0744316
+0.0735196
+0.0725819
+0.071699
+0.0708728
+0.0701053
+0.0693855
+0.0687277
+0.068134
+0.067606
+0.0671455
+0.0667537
+0.0664318
+0.0661809
+0.0659895
+0.0658687
+0.0658207
+0.0658455
+0.0659431
+0.0661132
+0.0663553
+0.0666685
+0.0670518
+0.0674939
+0.0680002
+0.0663026
+0.0645392
+0.0628028
+0.0610956
+0.0594146
+0.0577665
+0.0561555
+0.054585
+0.0530584
+0.0515796
+0.050153
+0.0487831
+0.0474718
+0.0461787
+0.044709
+0.0432938
+0.04194
+0.0406285
+0.0393562
+0.0381671
+0.0370528
+0.0360296
+0.0350863
+0.0342098
+0.0334032
+0.0326834
+0.0320972
+0.0316358
+0.0313082
+0.031115
+0.031062
+0.0299329
+0.0284239
+0.0270085
+0.0257021
+0.0245221
+0.0234875
+0.0225939
+0.0218723
+0.0213463
+0.0210365
+0.0209524
+0.0210966
+0.0214503
+0.0219901
+0.0227282
+0.0236469
+0.0247261
+0.0259457
+0.0272677
+0.0286821
+0.0301872
+0.0317485
+0.03338
+0.0350721
+0.0368147
+0.038603
+0.040431
+0.0422819
+0.044111
+0.0458949
+0.0473916
+0.0488176
+0.0502964
+0.0518237
+0.0533972
+0.0550129
+0.0566673
+0.058357
+0.0600791
+0.0618309
+0.0636098
+0.0654138
+0.0672407
+0.0690888
+0.0749064
+0.074388
+0.0734614
+0.0725892
+0.0717732
+0.071015
+0.0703042
+0.069655
+0.0690692
+0.0685485
+0.0680943
+0.067708
+0.0673907
+0.0671434
+0.0669627
+0.0668437
+0.0667963
+0.0668208
+0.066917
+0.0670846
+0.0673232
+0.0676319
+0.0680098
+0.0684526
+0.0678064
+0.0660105
+0.0642383
+0.0624872
+0.0607645
+0.0590729
+0.057415
+0.0557939
+0.0542128
+0.0526754
+0.0511857
+0.0497478
+0.0483664
+0.0470434
+0.0457853
+0.0445994
+0.0434916
+0.042468
+0.0415348
+0.0406983
+0.0398608
+0.0387946
+0.0378009
+0.0368696
+0.0360176
+0.0352311
+0.0345494
+0.0339955
+0.0335528
+0.0332259
+0.032706
+0.031023
+0.029407
+0.0278695
+0.0264244
+0.0250876
+0.0238772
+0.0228135
+0.0218924
+0.021151
+0.0206168
+0.0202977
+0.0202105
+0.0203517
+0.0207101
+0.0212889
+0.022071
+0.0230179
+0.0241252
+0.0253738
+0.0267345
+0.0281897
+0.0297353
+0.0313393
+0.0329937
+0.0347046
+0.0364648
+0.0382695
+0.0401127
+0.0419776
+0.0438725
+0.0452362
+0.0466253
+0.048074
+0.049575
+0.0511238
+0.0527182
+0.0543541
+0.056028
+0.0577364
+0.0594764
+0.0612454
+0.0630409
+0.0648607
+0.0667028
+0.0685654
+0.0754314
+0.0751093
+0.0743951
+0.0735339
+0.0727286
+0.0719772
+0.071276
+0.0706357
+0.0700582
+0.0695449
+0.0690972
+0.0687166
+0.0684039
+0.0681603
+0.0679857
+0.0678684
+0.0678218
+0.0678459
+0.0679406
+0.0681058
+0.0683407
+0.0686449
+0.0690172
+0.069416
+0.0675892
+0.0657814
+0.0639974
+0.0622395
+0.0605098
+0.0588108
+0.0571453
+0.0555164
+0.0539272
+0.0523814
+0.050883
+0.0494363
+0.048046
+0.0467139
+0.0454467
+0.0442518
+0.043135
+0.0421028
+0.0411613
+0.040317
+0.0395761
+0.0389323
+0.0383968
+0.0379803
+0.0376868
+0.0370917
+0.0364471
+0.0359234
+0.0354815
+0.034131
+0.0323739
+0.0306727
+0.0290372
+0.0274791
+0.0260123
+0.0246531
+0.0234203
+0.0223348
+0.0213931
+0.0206338
+0.0200858
+0.0197599
+0.0196703
+0.0198137
+0.0201816
+0.0207751
+0.0215758
+0.0225605
+0.0236892
+0.0249596
+0.0263511
+0.0278371
+0.0294013
+0.0310412
+0.0327381
+0.0344727
+0.0362442
+0.0380593
+0.0399122
+0.0417861
+0.0431957
+0.0445406
+0.0459506
+0.04742
+0.048941
+0.0505093
+0.0521225
+0.0537765
+0.0554678
+0.057193
+0.0589491
+0.0607334
+0.0625436
+0.0643774
+0.066233
+0.0681084
+0.0760018
+0.0756964
+0.0753809
+0.0745311
+0.0737366
+0.0729925
+0.0723011
+0.07167
+0.0711009
+0.0705952
+0.0701542
+0.0697793
+0.0694715
+0.0692316
+0.0690605
+0.0689476
+0.0689017
+0.0689254
+0.0690186
+0.0691812
+0.0694125
+0.069712
+0.0700787
+0.0692656
+0.0674315
+0.0656193
+0.0638309
+0.0620682
+0.0603336
+0.0586295
+0.0569587
+0.0553243
+0.0537294
+0.0521778
+0.0506733
+0.0492205
+0.0478239
+0.0464854
+0.0452119
+0.0440105
+0.0428875
+0.0418491
+0.0409018
+0.040052
+0.0393061
+0.0386579
+0.0381185
+0.037699
+0.0374032
+0.0372342
+0.0371937
+0.037282
+0.035759
+0.0339545
+0.0321878
+0.0304763
+0.0288296
+0.0272596
+0.0257803
+0.0244082
+0.0231624
+0.0220642
+0.0211105
+0.0203406
+0.0197845
+0.0194554
+0.0193644
+0.0195082
+0.0198817
+0.020484
+0.0212956
+0.0222927
+0.0234343
+0.0247178
+0.0261222
+0.0276291
+0.0292226
+0.0308772
+0.0325903
+0.0343577
+0.036155
+0.0379746
+0.0398314
+0.0412869
+0.0425794
+0.0439432
+0.045369
+0.046852
+0.0483888
+0.0499745
+0.0516044
+0.0532745
+0.0549812
+0.0567212
+0.0584915
+0.0602894
+0.0621125
+0.0639587
+0.065826
+0.0677127
+0.0766307
+0.0763277
+0.0760867
+0.0755786
+0.0747953
+0.0740587
+0.0733774
+0.0727556
+0.0721951
+0.071697
+0.0712629
+0.0708939
+0.0705909
+0.0703549
+0.0701865
+0.0700786
+0.0700334
+0.0700568
+0.0701485
+0.0703085
+0.0705361
+0.0708308
+0.0710376
+0.0691811
+0.0673447
+0.0655301
+0.0637392
+0.0619739
+0.0602366
+0.0585297
+0.056856
+0.0552185
+0.0536204
+0.0520656
+0.0505578
+0.0491015
+0.0477015
+0.0463595
+0.0450823
+0.0438775
+0.042751
+0.0417092
+0.0407586
+0.0399058
+0.0391571
+0.0385063
+0.0379648
+0.0375435
+0.0372465
+0.0370768
+0.0370361
+0.0371249
+0.0357252
+0.033919
+0.0321503
+0.0304366
+0.0287877
+0.0272153
+0.0257334
+0.0243587
+0.0231102
+0.0220094
+0.021052
+0.0202788
+0.0197195
+0.0193919
+0.0193006
+0.0194459
+0.0198209
+0.0204249
+0.0212388
+0.0222384
+0.0233827
+0.0246689
+0.0260759
+0.0275853
+0.0291813
+0.0308503
+0.0325743
+0.0343427
+0.0361573
+0.0380103
+0.0395291
+0.0407586
+0.0420623
+0.0434374
+0.0448774
+0.0463762
+0.0479283
+0.0495286
+0.0511727
+0.0528565
+0.0545763
+0.0563288
+0.058111
+0.0599203
+0.0617543
+0.0636109
+0.0654882
+0.0673843
+0.0773165
+0.0770162
+0.0767773
+0.0766004
+0.0759021
+0.0751737
+0.0745025
+0.0738902
+0.0733383
+0.0728481
+0.0724209
+0.0720578
+0.0717597
+0.0715276
+0.0713619
+0.0712591
+0.0712146
+0.0712376
+0.0713278
+0.0714851
+0.071709
+0.0719989
+0.0710228
+0.069166
+0.0673292
+0.0655141
+0.0637227
+0.061957
+0.0602192
+0.0585118
+0.0568375
+0.0551995
+0.0536009
+0.0520454
+0.0505371
+0.0490802
+0.0476795
+0.0463369
+0.0450591
+0.0438536
+0.0427264
+0.041684
+0.0407329
+0.0398795
+0.0391303
+0.0384791
+0.0379372
+0.0375156
+0.0372184
+0.0370485
+0.0370078
+0.0370966
+0.0358256
+0.0340179
+0.0322547
+0.0305468
+0.0289041
+0.0273384
+0.0258637
+0.0244963
+0.0232552
+0.0221389
+0.021179
+0.02041
+0.0198541
+0.0195274
+0.0194368
+0.019585
+0.0199659
+0.0205744
+0.0213909
+0.0223927
+0.0235358
+0.024814
+0.0262133
+0.0277152
+0.0293041
+0.0309665
+0.0326844
+0.0344471
+0.0362565
+0.0379054
+0.0390826
+0.0403298
+0.041647
+0.0430354
+0.0444884
+0.0459998
+0.0475642
+0.0491764
+0.0508319
+0.0525266
+0.0542569
+0.0560194
+0.0578111
+0.0596295
+0.0614722
+0.0633371
+0.0652222
+0.0671241
+0.0780577
+0.0777603
+0.0775237
+0.0773485
+0.0770527
+0.0763352
+0.0756744
+0.0750716
+0.0745285
+0.0740462
+0.0736259
+0.0732687
+0.0729756
+0.0727473
+0.0725845
+0.0724865
+0.0724428
+0.0724654
+0.0725541
+0.0727087
+0.0729289
+0.0729496
+0.0710756
+0.0692202
+0.0673849
+0.0655714
+0.0637816
+0.0620175
+0.0602814
+0.0585759
+0.0569035
+0.0552674
+0.0536708
+0.0521175
+0.0506113
+0.0491566
+0.0477581
+0.0464177
+0.0451422
+0.043939
+0.0428141
+0.0417739
+0.0408249
+0.0399734
+0.039226
+0.0385764
+0.0380359
+0.0376154
+0.037319
+0.0371496
+0.037109
+0.0371976
+0.036036
+0.0342365
+0.0324852
+0.0307901
+0.0291612
+0.02761
+0.0261506
+0.024799
+0.0235738
+0.0224734
+0.0215284
+0.0207724
+0.0202264
+0.0199044
+0.0198154
+0.0199623
+0.0203362
+0.0209339
+0.0217369
+0.0227234
+0.0238708
+0.0251393
+0.0265214
+0.0280069
+0.0295801
+0.0312278
+0.0329388
+0.0346898
+0.0364428
+0.0375381
+0.0387264
+0.0399995
+0.0413437
+0.042742
+0.0442046
+0.0457255
+0.0472989
+0.0489199
+0.0505838
+0.0522863
+0.0540213
+0.0557884
+0.0575846
+0.0594073
+0.0612541
+0.0631211
+0.065007
+0.0669114
+0.0788529
+0.0785585
+0.0783243
+0.0781509
+0.0780386
+0.0775396
+0.0768891
+0.076296
+0.0757616
+0.0752872
+0.0748739
+0.0745227
+0.0742345
+0.0740101
+0.0738501
+0.0737547
+0.0737157
+0.0737378
+0.073825
+0.073977
+0.0741934
+0.0730668
+0.0711958
+0.0693436
+0.0675116
+0.0657016
+0.0639155
+0.0621552
+0.0604231
+0.0587216
+0.0570536
+0.0554219
+0.0538299
+0.0522812
+0.0507799
+0.0493302
+0.0479368
+0.0466016
+0.0453313
+0.0441332
+0.0430134
+0.0419781
+0.0410338
+0.0401868
+0.0394375
+0.0387955
+0.0382601
+0.0378421
+0.0375474
+0.0373791
+0.0373387
+0.0374268
+0.0363746
+0.0345928
+0.0328604
+0.0311858
+0.0295786
+0.0280506
+0.0266153
+0.0252886
+0.0240883
+0.0230125
+0.0220906
+0.0213545
+0.0208238
+0.0205096
+0.0204233
+0.0205674
+0.0209305
+0.0215116
+0.0222938
+0.0232568
+0.0243791
+0.0256224
+0.0269798
+0.0284413
+0.0299917
+0.031618
+0.033309
+0.0350554
+0.0361934
+0.037296
+0.0384919
+0.0397725
+0.0411289
+0.0425349
+0.0440044
+0.045532
+0.0471119
+0.0487322
+0.0503952
+0.0520973
+0.0538346
+0.0556034
+0.0574007
+0.0592242
+0.0610719
+0.0629416
+0.0648314
+0.0667396
+0.0797004
+0.0794092
+0.0791775
+0.0790059
+0.0788948
+0.0787792
+0.0781391
+0.0775555
+0.0770298
+0.0765633
+0.0761569
+0.0758117
+0.0755285
+0.0753079
+0.0751506
+0.0750569
+0.0750271
+0.0750522
+0.0751379
+0.0752872
+0.0751284
+0.0732492
+0.0713831
+0.0695358
+0.0677091
+0.0659045
+0.064124
+0.0623696
+0.0606436
+0.0589485
+0.0572871
+0.0556622
+0.0540773
+0.052536
+0.0510421
+0.0496001
+0.0482144
+0.0468872
+0.0456248
+0.0444346
+0.0433226
+0.0422898
+0.041345
+0.0404967
+0.0397512
+0.0391144
+0.0385915
+0.0381797
+0.0378877
+0.0377209
+0.0376809
+0.0377681
+0.0368407
+0.0350825
+0.0333756
+0.0317281
+0.0301499
+0.0286523
+0.0272488
+0.0259544
+0.0247865
+0.0237423
+0.0228499
+0.022139
+0.0216276
+0.0213238
+0.0212408
+0.0213808
+0.0217303
+0.0222906
+0.0230464
+0.0239791
+0.0250691
+0.0262798
+0.0276049
+0.0290349
+0.0305552
+0.032153
+0.0338173
+0.0350716
+0.0360756
+0.0371817
+0.0383681
+0.0396294
+0.040969
+0.0423797
+0.0438544
+0.045387
+0.0469705
+0.0485933
+0.0502593
+0.0519641
+0.0537042
+0.0554763
+0.0572773
+0.0591047
+0.060956
+0.0628291
+0.0647222
+0.0666335
+0.0805985
+0.0803105
+0.0800815
+0.0799118
+0.079802
+0.0797522
+0.0794298
+0.0788558
+0.0783388
+0.0778801
+0.0774806
+0.0771413
+0.076863
+0.0766463
+0.0764917
+0.0763997
+0.0763704
+0.0764034
+0.076488
+0.0766347
+0.0753696
+0.0734966
+0.0716368
+0.0697963
+0.0679766
+0.0661793
+0.0644064
+0.0626599
+0.0609422
+0.0592556
+0.057603
+0.0559873
+0.0544119
+0.0528803
+0.0513964
+0.0499646
+0.0485894
+0.0472726
+0.0460166
+0.0448298
+0.0437206
+0.0426951
+0.0417594
+0.0409197
+0.0401821
+0.0395521
+0.0390351
+0.0386281
+0.0383395
+0.0381747
+0.0381351
+0.0382213
+0.0374293
+0.0357002
+0.0340242
+0.0324097
+0.0308664
+0.0294054
+0.0280395
+0.0267834
+0.0256532
+0.0246458
+0.0237873
+0.0231053
+0.0226157
+0.022324
+0.0222447
+0.0223798
+0.0227139
+0.0232506
+0.0239761
+0.024874
+0.0259264
+0.0270988
+0.0283857
+0.0297783
+0.0312625
+0.0328258
+0.0341334
+0.0350541
+0.03605
+0.037132
+0.0383088
+0.039572
+0.0409135
+0.042326
+0.0438025
+0.0453368
+0.0469221
+0.0485465
+0.050214
+0.0519203
+0.0536619
+0.0554353
+0.0572376
+0.0590662
+0.0609187
+0.0627929
+0.0646871
+0.0665994
+0.0815456
+0.081261
+0.0810346
+0.080867
+0.0807584
+0.0807092
+0.0807195
+0.0801948
+0.0796866
+0.0792356
+0.078843
+0.0785096
+0.0782362
+0.0780233
+0.0778714
+0.077781
+0.0777523
+0.0777852
+0.0778764
+0.0773537
+0.0756719
+0.0738019
+0.0719501
+0.0701178
+0.0683066
+0.0665182
+0.0647546
+0.0630178
+0.0613101
+0.0596339
+0.0579921
+0.0563875
+0.0548236
+0.0533039
+0.0518321
+0.0504127
+0.04905
+0.0477386
+0.0464926
+0.0453183
+0.0442213
+0.0432077
+0.0422834
+0.0414543
+0.0407264
+0.040105
+0.0395952
+0.039194
+0.0389096
+0.0387471
+0.0387082
+0.0387931
+0.0381349
+0.0364392
+0.0347989
+0.0332221
+0.0317183
+0.0302984
+0.0289747
+0.0277609
+0.0266722
+0.0257047
+0.0248827
+0.0242316
+0.0237644
+0.0234865
+0.0234112
+0.0235404
+0.0238588
+0.0243702
+0.0250633
+0.0259236
+0.026935
+0.0280653
+0.0293098
+0.0306604
+0.0321039
+0.033435
+0.0342344
+0.0351436
+0.03612
+0.0372
+0.0383747
+0.0396357
+0.0409752
+0.0423856
+0.0438601
+0.0453925
+0.0469759
+0.0485985
+0.0502643
+0.051969
+0.0537089
+0.0554809
+0.0572817
+0.0591089
+0.0609601
+0.0628331
+0.0647261
+0.0666373
+0.08254
+0.0822588
+0.0820352
+0.0818696
+0.0817624
+0.0817138
+0.0817239
+0.0815707
+0.0810711
+0.0806279
+0.0802421
+0.0799145
+0.0796459
+0.0794368
+0.0792877
+0.0791989
+0.0791706
+0.079203
+0.0788964
+0.0773884
+0.0759136
+0.0741644
+0.0723218
+0.0704992
+0.0686981
+0.0669202
+0.0651674
+0.0634419
+0.0617459
+0.0600819
+0.0584527
+0.0568612
+0.0553106
+0.0538046
+0.052347
+0.0509419
+0.0495938
+0.0482971
+0.0470659
+0.0459062
+0.0448237
+0.043824
+0.0429129
+0.0420963
+0.0413796
+0.0407682
+0.0402668
+0.0398723
+0.0395928
+0.0394332
+0.0393949
+0.0394784
+0.0389511
+0.0372925
+0.0356914
+0.0341559
+0.032695
+0.0313194
+0.0300407
+0.0288718
+0.0278266
+0.0269007
+0.0261164
+0.0254968
+0.025052
+0.0247885
+0.0247171
+0.0248395
+0.0251427
+0.0256285
+0.0262885
+0.0271099
+0.0280786
+0.0291647
+0.0303641
+0.0316698
+0.0330076
+0.0336809
+0.0344746
+0.0353514
+0.0363222
+0.0373963
+0.0385651
+0.0398201
+0.0411536
+0.0425581
+0.0440268
+0.0455536
+0.0471316
+0.048749
+0.0504098
+0.0521097
+0.0538452
+0.0556127
+0.0574095
+0.0592327
+0.0610802
+0.0629496
+0.0648392
+0.0667471
+0.08358
+0.0833023
+0.0830815
+0.082918
+0.0828122
+0.0827642
+0.0827742
+0.0828421
+0.0824905
+0.082055
+0.081676
+0.0813542
+0.0810903
+0.0808849
+0.0807385
+0.0806513
+0.0806236
+0.0805288
+0.0789912
+0.077485
+0.0760121
+0.0745014
+0.0727577
+0.0709463
+0.0691568
+0.067391
+0.0656508
+0.0639383
+0.0622559
+0.0606059
+0.0589911
+0.0574145
+0.0558793
+0.0543891
+0.0529475
+0.0515588
+0.0502272
+0.0489474
+0.0477329
+0.0465898
+0.0455236
+0.0445396
+0.0436435
+0.0428407
+0.0421367
+0.0415365
+0.0410445
+0.0406575
+0.0403835
+0.040227
+0.0401895
+0.0402713
+0.039871
+0.0382524
+0.0366932
+0.0352014
+0.0337858
+0.0324564
+0.0312243
+0.0301014
+0.0291004
+0.0282163
+0.0274696
+0.0268812
+0.0264585
+0.0262092
+0.0261417
+0.0262574
+0.0265456
+0.0270062
+0.0276333
+0.0284159
+0.0293415
+0.0303824
+0.0315356
+0.0327947
+0.0333667
+0.0340543
+0.0348148
+0.0356772
+0.0366393
+0.0377044
+0.0388639
+0.0401096
+0.0414337
+0.042829
+0.0442888
+0.0458068
+0.0473776
+0.0489959
+0.0506497
+0.0523419
+0.0540698
+0.0558303
+0.0576203
+0.0594371
+0.0612783
+0.0631419
+0.0650259
+0.0669285
+0.0846639
+0.0843898
+0.0841718
+0.0840105
+0.083906
+0.0838586
+0.0838685
+0.0839355
+0.0839432
+0.0835153
+0.0831429
+0.0828268
+0.0825676
+0.0823659
+0.0822221
+0.0821365
+0.0821093
+0.0806781
+0.0791432
+0.0776398
+0.0761697
+0.074691
+0.0731574
+0.0714577
+0.0696814
+0.0679292
+0.0662032
+0.0645054
+0.0628381
+0.0612038
+0.0596052
+0.0580453
+0.0565272
+0.0550545
+0.0536309
+0.0522603
+0.0509471
+0.0496858
+0.0484898
+0.047365
+0.0463166
+0.0453498
+0.04447
+0.0436825
+0.0429923
+0.0424041
+0.0419223
+0.0415436
+0.0412754
+0.0411223
+0.0410856
+0.0411656
+0.0408878
+0.039311
+0.0377956
+0.036349
+0.0349799
+0.0336976
+0.0325126
+0.0314358
+0.0304786
+0.0296356
+0.0289256
+0.0283674
+0.0279661
+0.0277303
+0.0276666
+0.027776
+0.0280496
+0.0284859
+0.0290811
+0.0298257
+0.0307088
+0.0317049
+0.0328116
+0.0332673
+0.0338152
+0.0344938
+0.0352449
+0.0361115
+0.0370733
+0.0381262
+0.0392733
+0.0405064
+0.0418179
+0.0432009
+0.0446485
+0.0461547
+0.047714
+0.0493213
+0.0509712
+0.0526563
+0.0543774
+0.0561313
+0.0579132
+0.0597211
+0.0615539
+0.0634094
+0.0652856
+0.0671809
+0.0857901
+0.0855196
+0.0853045
+0.0851453
+0.0850422
+0.0849955
+0.0850052
+0.0850714
+0.0851938
+0.0850069
+0.084641
+0.0843305
+0.084076
+0.0838779
+0.0837367
+0.0836527
+0.0824369
+0.0808781
+0.0793471
+0.0778476
+0.0763815
+0.0749441
+0.0734158
+0.0719185
+0.0702703
+0.0685333
+0.0668228
+0.0651412
+0.0634906
+0.0618735
+0.0602927
+0.0587511
+0.0572517
+0.0557981
+0.0543939
+0.0530431
+0.0517497
+0.0505085
+0.0493325
+0.0482273
+0.0471981
+0.0462497
+0.0453874
+0.044616
+0.0439405
+0.0433652
+0.0428928
+0.0425204
+0.0422584
+0.0421089
+0.042073
+0.0421512
+0.0419943
+0.0404607
+0.0389899
+0.0375893
+0.0362671
+0.035032
+0.0338937
+0.0328621
+0.0319477
+0.0311445
+0.0304697
+0.0299394
+0.0295593
+0.0293363
+0.029276
+0.0293795
+0.0296393
+0.0300525
+0.0306173
+0.0313254
+0.0321674
+0.0331193
+0.0334557
+0.0338591
+0.0343977
+0.035065
+0.0358041
+0.0366575
+0.0376192
+0.0386678
+0.0397992
+0.0410165
+0.0423123
+0.0436795
+0.0451118
+0.046603
+0.0481478
+0.0497411
+0.0513775
+0.0530497
+0.0547585
+0.0565006
+0.0582729
+0.0600729
+0.061898
+0.0637462
+0.0656154
+0.0675035
+0.0869569
+0.08669
+0.0864778
+0.0863208
+0.0862191
+0.086173
+0.0861826
+0.0862479
+0.0863686
+0.0865282
+0.0861688
+0.0858639
+0.0856139
+0.0854194
+0.0852807
+0.0842659
+0.0826906
+0.0811368
+0.0796107
+0.0781163
+0.0766553
+0.0752298
+0.0737384
+0.0722478
+0.0707935
+0.0692014
+0.0675079
+0.0658438
+0.0642112
+0.0626128
+0.0610511
+0.0595291
+0.0580499
+0.0566168
+0.0552334
+0.0539036
+0.0526314
+0.0514114
+0.0502565
+0.0491722
+0.0481631
+0.0472342
+0.0463901
+0.0456357
+0.0449755
+0.0444136
+0.0439486
+0.0435852
+0.0433297
+0.0431839
+0.0431489
+0.0432251
+0.0431765
+0.0416865
+0.0402605
+0.0389057
+0.0376297
+0.0364408
+0.0353479
+0.03436
+0.0334865
+0.0327155
+0.0320683
+0.0315603
+0.0311981
+0.0309869
+0.0309299
+0.0310278
+0.0312792
+0.0316804
+0.0322259
+0.0329027
+0.0336979
+0.0339271
+0.0341849
+0.0345799
+0.0351073
+0.0357614
+0.0364864
+0.0373242
+0.0382692
+0.0393137
+0.0404371
+0.0416358
+0.0429128
+0.0442616
+0.0456756
+0.047149
+0.0486764
+0.050253
+0.0518732
+0.0535299
+0.0552239
+0.0569517
+0.0587104
+0.0604974
+0.0623101
+0.0641464
+0.0660043
+0.0678821
+0.0881626
+0.0878995
+0.0876902
+0.0875353
+0.0874351
+0.0873896
+0.0873991
+0.0874578
+0.0875663
+0.0877294
+0.0877248
+0.0874252
+0.0871797
+0.0869887
+0.0861639
+0.0845709
+0.0830014
+0.0814536
+0.0799335
+0.0784453
+0.0769906
+0.0755714
+0.0741156
+0.0726417
+0.0711955
+0.0697881
+0.0682565
+0.066611
+0.0649978
+0.0634191
+0.0618778
+0.0603767
+0.0589187
+0.0575073
+0.0561458
+0.0548382
+0.0535882
+0.0523905
+0.0512577
+0.0501949
+0.0492068
+0.0482979
+0.0474728
+0.0467359
+0.0460914
+0.0455432
+0.0450863
+0.0447321
+0.0444831
+0.0443411
+0.0443071
+0.0443813
+0.0444331
+0.0429867
+0.0416053
+0.0402957
+0.0390651
+0.0379213
+0.0368723
+0.0359263
+0.0350853
+0.0343432
+0.0337273
+0.0332446
+0.032901
+0.0327008
+0.0326468
+0.0327395
+0.0329779
+0.0333587
+0.0338772
+0.0345271
+0.0346499
+0.0347732
+0.0350248
+0.0354104
+0.0359257
+0.0365651
+0.0372852
+0.0381054
+0.0390315
+0.0400561
+0.0411719
+0.0423594
+0.0436153
+0.0449429
+0.0463362
+0.0477892
+0.0492968
+0.0508541
+0.0524558
+0.0540947
+0.0557715
+0.0574829
+0.0592258
+0.0609977
+0.0627959
+0.0646184
+0.0664632
+0.0683284
+0.0894058
+0.0891463
+0.08894
+0.0887873
+0.0886885
+0.0886399
+0.0886388
+0.0886918
+0.0887988
+0.0889596
+0.089174
+0.0890101
+0.088769
+0.0881202
+0.0865177
+0.0849314
+0.0833687
+0.0818278
+0.0803149
+0.0788338
+0.0773864
+0.0759746
+0.0745516
+0.0730893
+0.0716521
+0.0702539
+0.068897
+0.0674407
+0.0658478
+0.0642901
+0.0627701
+0.0612908
+0.0598551
+0.0584663
+0.0571278
+0.0558431
+0.0546161
+0.0534414
+0.0523314
+0.0512909
+0.0503243
+0.049436
+0.0486302
+0.0479111
+0.0472826
+0.0467447
+0.0462997
+0.0459549
+0.0457125
+0.0455744
+0.0455413
+0.0456135
+0.0457602
+0.044357
+0.0430196
+0.0417544
+0.0405681
+0.0394679
+0.0384611
+0.0375552
+0.0367387
+0.0360307
+0.0354441
+0.0349851
+0.0346587
+0.0344688
+0.0344175
+0.0345055
+0.0347317
+0.0350935
+0.0355867
+0.0355959
+0.0356127
+0.0357255
+0.0359704
+0.036346
+0.0368482
+0.0374719
+0.038193
+0.0389942
+0.0398996
+0.0409025
+0.0419958
+0.0431726
+0.0444135
+0.0457192
+0.0470895
+0.04852
+0.0500056
+0.0515415
+0.0531225
+0.0547414
+0.0563989
+0.0580918
+0.059817
+0.0615719
+0.0633539
+0.0651608
+0.0669906
+0.0688414
+0.0906849
+0.0904291
+0.0902257
+0.0900733
+0.0899656
+0.0899111
+0.0899099
+0.0899622
+0.0900677
+0.0902262
+0.0904376
+0.0906188
+0.0901406
+0.0885205
+0.0869253
+0.0853466
+0.0837916
+0.0822587
+0.0807538
+0.079281
+0.0778419
+0.0764385
+0.075049
+0.0735966
+0.0721695
+0.0707815
+0.0694349
+0.0681321
+0.0667589
+0.065223
+0.0637253
+0.0622687
+0.0608561
+0.0594906
+0.0581756
+0.0569146
+0.0557112
+0.0545601
+0.0534733
+0.0524555
+0.0515108
+0.0506433
+0.049857
+0.0491558
+0.0485435
+0.0480162
+0.047583
+0.0472476
+0.0470119
+0.0468776
+0.0468454
+0.0469156
+0.0470877
+0.0457911
+0.0444969
+0.0432749
+0.0421315
+0.0410731
+0.0401066
+0.0392327
+0.0384458
+0.0377698
+0.0372107
+0.0367737
+0.0364634
+0.0362829
+0.0362341
+0.0363177
+0.0365328
+0.0368769
+0.0367792
+0.0366699
+0.0366729
+0.0367837
+0.0370217
+0.0373867
+0.0378751
+0.0384822
+0.0391963
+0.0399833
+0.0408669
+0.0418466
+0.0429158
+0.0440681
+0.0452844
+0.0465689
+0.0479191
+0.0493264
+0.0507884
+0.0523014
+0.0538609
+0.0554631
+0.0571036
+0.0587762
+0.0604819
+0.062218
+0.063982
+0.0657716
+0.0675849
+0.0694199
+0.0919984
+0.0917462
+0.0915356
+0.091377
+0.0912708
+0.0912171
+0.091216
+0.0912675
+0.0913715
+0.0915278
+0.0917362
+0.0919962
+0.090582
+0.0889703
+0.0873834
+0.0858157
+0.0842694
+0.0827454
+0.0812495
+0.0797858
+0.078356
+0.076962
+0.0755976
+0.0741651
+0.0727492
+0.0713725
+0.0700372
+0.0687459
+0.0675009
+0.0662152
+0.0647405
+0.0633073
+0.0619184
+0.0605769
+0.059286
+0.0580491
+0.0568697
+0.0557425
+0.0546792
+0.0536842
+0.0527615
+0.0519149
+0.0511482
+0.050465
+0.0498663
+0.0493522
+0.0489309
+0.0486047
+0.0483757
+0.0482451
+0.0482139
+0.0482821
+0.0484493
+0.0472834
+0.0460311
+0.0448509
+0.0437487
+0.0427304
+0.0418022
+0.0409531
+0.0401999
+0.0395539
+0.0390203
+0.0386038
+0.0383083
+0.0381365
+0.0380902
+0.0381697
+0.0383743
+0.0381723
+0.0379474
+0.0378273
+0.0378301
+0.0379391
+0.0381698
+0.038524
+0.0389981
+0.039588
+0.0402768
+0.0410599
+0.0419264
+0.0428819
+0.043926
+0.0450524
+0.0462428
+0.0475014
+0.0488258
+0.0502109
+0.0516512
+0.0531395
+0.0546752
+0.0562542
+0.0578731
+0.0595286
+0.0612177
+0.0629337
+0.0646782
+0.0664491
+0.0682444
+0.0700621
+0.0933366
+0.093078
+0.0928705
+0.0927142
+0.0926095
+0.0925566
+0.0925555
+0.0926062
+0.0927087
+0.0928627
+0.0930681
+0.0926915
+0.0910666
+0.0894637
+0.0878857
+0.0863344
+0.084801
+0.0832868
+0.0818009
+0.0803472
+0.0789276
+0.0775438
+0.0761899
+0.0747867
+0.0733898
+0.0720253
+0.0707023
+0.0694233
+0.0681907
+0.0670071
+0.065813
+0.0644036
+0.0630389
+0.0617217
+0.0604553
+0.0592428
+0.0580877
+0.0569846
+0.0559449
+0.0549729
+0.0540722
+0.0532464
+0.0524991
+0.0518337
+0.0512477
+0.0507476
+0.050338
+0.050021
+0.0497985
+0.0496717
+0.0496413
+0.0497075
+0.04987
+0.0488283
+0.0476166
+0.0464768
+0.045414
+0.0444339
+0.0435364
+0.0427165
+0.041995
+0.041377
+0.0408672
+0.0404698
+0.040188
+0.0400242
+0.0399801
+0.0400559
+0.039748
+0.0394104
+0.0391926
+0.0390732
+0.039076
+0.0391829
+0.0394064
+0.0397495
+0.0402092
+0.0407816
+0.0414449
+0.0422064
+0.0430659
+0.044002
+0.0450201
+0.0461198
+0.0472834
+0.0485149
+0.0498124
+0.0511708
+0.0525855
+0.0540519
+0.0555639
+0.0571184
+0.0587135
+0.0603459
+0.0620128
+0.0637114
+0.0654393
+0.0671912
+0.0689672
+0.0707664
+0.0946967
+0.0944419
+0.0942373
+0.0940834
+0.0939802
+0.093928
+0.0939269
+0.0939769
+0.0940779
+0.0942298
+0.0944322
+0.0932167
+0.0916011
+0.0900077
+0.0884394
+0.086898
+0.085385
+0.083882
+0.0824068
+0.080964
+0.0795554
+0.0781827
+0.07684
+0.0754611
+0.0740896
+0.0727382
+0.0714285
+0.0701627
+0.0689433
+0.0677728
+0.0666538
+0.0655549
+0.0642146
+0.0629221
+0.0616803
+0.0604924
+0.0593616
+0.0582827
+0.0572665
+0.0563173
+0.0554384
+0.0546333
+0.0539052
+0.0532561
+0.052684
+0.0521977
+0.0517995
+0.0514916
+0.0512754
+0.0511523
+0.0511228
+0.0511871
+0.0513449
+0.050421
+0.0492486
+0.0481474
+0.0471223
+0.0461785
+0.0453052
+0.0445179
+0.0438261
+0.0432342
+0.0427466
+0.0423668
+0.0420977
+0.0419415
+0.0418993
+0.0414955
+0.0410555
+0.0407288
+0.0405156
+0.0403996
+0.0404023
+0.0405055
+0.0407217
+0.0410538
+0.0414991
+0.0420538
+0.0426936
+0.0434332
+0.0442689
+0.0451916
+0.0461835
+0.0472562
+0.0484008
+0.0496046
+0.0508743
+0.0522051
+0.0535924
+0.055032
+0.0565198
+0.0580522
+0.0596225
+0.0612308
+0.0628742
+0.0645501
+0.0662561
+0.0679899
+0.0697494
+0.0715308
+0.0960876
+0.0958365
+0.0956349
+0.0954832
+0.0953815
+0.0953301
+0.095329
+0.0953783
+0.0954778
+0.0956274
+0.0954188
+0.0937901
+0.0921846
+0.0906015
+0.0890436
+0.0875129
+0.0860107
+0.0845298
+0.0830661
+0.081635
+0.0802381
+0.0788774
+0.0775404
+0.0761925
+0.0748398
+0.0735095
+0.0722138
+0.070962
+0.0697566
+0.0686
+0.0674947
+0.0664423
+0.0654058
+0.0641748
+0.0629577
+0.0617944
+0.0606878
+0.0596329
+0.0586402
+0.0577135
+0.0568563
+0.0560715
+0.0553624
+0.0547274
+0.0541709
+0.053698
+0.0533111
+0.0530119
+0.052802
+0.0526824
+0.0526537
+0.0527162
+0.0528695
+0.0520573
+0.0509226
+0.0498583
+0.0488692
+0.0479544
+0.0471095
+0.0463529
+0.0456888
+0.0451214
+0.0446544
+0.044291
+0.0440336
+0.0438843
+0.043394
+0.0428617
+0.0424359
+0.04212
+0.0419109
+0.0417988
+0.0418015
+0.041897
+0.042106
+0.0424273
+0.0428583
+0.0433956
+0.044016
+0.0447337
+0.0455455
+0.0464466
+0.0474128
+0.0484583
+0.0495786
+0.0507654
+0.0520068
+0.0533094
+0.0546687
+0.0560806
+0.0575414
+0.0590472
+0.0605949
+0.0621793
+0.0637983
+0.0654506
+0.0671337
+0.0688453
+0.0705835
+0.0723462
+0.0975078
+0.0972604
+0.0970618
+0.0969123
+0.0968121
+0.0967615
+0.0967604
+0.0968089
+0.096907
+0.0970544
+0.0960291
+0.0944091
+0.0928118
+0.0912391
+0.0896923
+0.0881728
+0.086682
+0.0852215
+0.0837775
+0.0823588
+0.0809744
+0.079623
+0.0782899
+0.0769793
+0.0756407
+0.0743374
+0.0730564
+0.0718193
+0.0706285
+0.0694864
+0.0683954
+0.0673562
+0.066334
+0.0653693
+0.0642845
+0.0631455
+0.0620631
+0.0610319
+0.0600623
+0.059158
+0.0583219
+0.0575572
+0.0568663
+0.0562456
+0.0557042
+0.0552445
+0.0548684
+0.0545778
+0.0543739
+0.0542578
+0.05423
+0.0542907
+0.0544395
+0.0537331
+0.0526345
+0.0516055
+0.0506505
+0.0497591
+0.0489454
+0.0482175
+0.0475795
+0.0470349
+0.0465871
+0.0462388
+0.0459924
+0.0454247
+0.0448095
+0.0442942
+0.0438823
+0.0435768
+0.043372
+0.0432638
+0.0432626
+0.0433545
+0.0435566
+0.0438672
+0.0442842
+0.0448045
+0.0454056
+0.0461017
+0.0468898
+0.0477655
+0.0487097
+0.0497279
+0.0508202
+0.0519819
+0.0532055
+0.0544793
+0.0558102
+0.057194
+0.058627
+0.0601057
+0.0616268
+0.0631852
+0.0647791
+0.066407
+0.0680665
+0.0697552
+0.0714713
+0.0732126
+0.0989562
+0.0987124
+0.0985167
+0.0983694
+0.0982707
+0.0982208
+0.0982198
+0.0982676
+0.0983642
+0.0983117
+0.0966795
+0.0950699
+0.0934838
+0.0919226
+0.0903875
+0.0888799
+0.0874012
+0.0859529
+0.0845366
+0.083134
+0.0817627
+0.0804127
+0.079093
+0.0778126
+0.0764959
+0.0752126
+0.073949
+0.0727271
+0.0715514
+0.0704243
+0.0693481
+0.0683251
+0.0673207
+0.0663703
+0.0654794
+0.0645428
+0.0634842
+0.0624765
+0.0615296
+0.0606472
+0.0598319
+0.0590867
+0.058411
+0.0578069
+0.0572803
+0.0568334
+0.0564679
+0.0561855
+0.0559875
+0.0558747
+0.0558477
+0.0559066
+0.0560511
+0.0554447
+0.0543807
+0.0533855
+0.0524578
+0.0515937
+0.0508093
+0.0501086
+0.0494949
+0.0489717
+0.0485417
+0.0482076
+0.0475706
+0.0468813
+0.0462854
+0.0457868
+0.0453884
+0.0450931
+0.0448926
+0.044788
+0.0447829
+0.0448717
+0.045067
+0.0453673
+0.0457706
+0.0462742
+0.0468564
+0.0475313
+0.0482961
+0.0491468
+0.0500689
+0.05106
+0.0521244
+0.0532576
+0.0544555
+0.055711
+0.057013
+0.0583683
+0.0597732
+0.0612242
+0.0627182
+0.0642502
+0.0658183
+0.0674211
+0.0690562
+0.0707213
+0.0724145
+0.0741337
+0.100431
+0.100191
+0.0999984
+0.0998533
+0.0997561
+0.099707
+0.099706
+0.0997531
+0.0998482
+0.0989949
+0.0973742
+0.0957762
+0.094202
+0.0926529
+0.0911301
+0.089635
+0.088169
+0.0867335
+0.0853301
+0.0839588
+0.0825908
+0.0812539
+0.0799481
+0.0786816
+0.0774038
+0.0761357
+0.0748947
+0.0736885
+0.0725285
+0.0714168
+0.0703557
+0.0693477
+0.0683634
+0.0674277
+0.066551
+0.0657263
+0.0649394
+0.0639634
+0.0630389
+0.0621779
+0.061383
+0.0606568
+0.059996
+0.0594081
+0.0588958
+0.0584611
+0.0581059
+0.0578315
+0.0576392
+0.0575296
+0.0575034
+0.0575606
+0.057701
+0.0571891
+0.0561582
+0.055195
+0.0542896
+0.0534551
+0.0526985
+0.0520231
+0.0514323
+0.050929
+0.0505157
+0.049795
+0.049058
+0.0483932
+0.0478162
+0.0473337
+0.0469485
+0.046663
+0.0464666
+0.0463656
+0.0463569
+0.0464428
+0.0466314
+0.0469217
+0.0473118
+0.0477991
+0.048363
+0.0490171
+0.0497591
+0.0505852
+0.0514854
+0.0524497
+0.0534865
+0.0545915
+0.0557607
+0.0569902
+0.0582735
+0.0596001
+0.0609766
+0.0623996
+0.0638661
+0.0653712
+0.066913
+0.0684902
+0.0701004
+0.0717413
+0.0734109
+0.0751074
+0.101932
+0.101696
+0.101506
+0.101363
+0.101267
+0.101219
+0.101218
+0.101264
+0.101352
+0.0997215
+0.0981128
+0.096527
+0.0949653
+0.0934288
+0.0919189
+0.0904368
+0.088984
+0.0875619
+0.0861721
+0.084816
+0.0834666
+0.0821449
+0.0808535
+0.0796014
+0.0783623
+0.07711
+0.0758919
+0.0747019
+0.0735578
+0.0724619
+0.0714163
+0.0704186
+0.0694595
+0.0685388
+0.0676708
+0.0668541
+0.0660791
+0.0653469
+0.0645873
+0.0637471
+0.062972
+0.0622623
+0.0616181
+0.0610458
+0.0605473
+0.0601247
+0.0597793
+0.0595126
+0.0593257
+0.0592193
+0.0591939
+0.0592494
+0.0593858
+0.0589633
+0.0579639
+0.0570264
+0.0561471
+0.0553406
+0.0546101
+0.0539587
+0.0533893
+0.0529046
+0.0521061
+0.0513088
+0.0505939
+0.0499555
+0.0493967
+0.0489298
+0.0485572
+0.0482813
+0.048089
+0.0479914
+0.0479794
+0.0480623
+0.0482446
+0.0485253
+0.0489026
+0.0493742
+0.0499203
+0.0505542
+0.051274
+0.0520761
+0.0529547
+0.0538927
+0.0549022
+0.0559793
+0.0571201
+0.0583209
+0.0595781
+0.0608858
+0.0622338
+0.0636288
+0.0650676
+0.0665455
+0.0680607
+0.0696119
+0.0711967
+0.0728129
+0.0744585
+0.0761316
+0.103458
+0.103225
+0.103038
+0.102897
+0.102803
+0.102755
+0.102754
+0.1028
+0.102109
+0.100491
+0.0988944
+0.0973214
+0.0957726
+0.0942493
+0.0927528
+0.0912843
+0.0898452
+0.0884369
+0.087061
+0.085719
+0.0843902
+0.0830841
+0.0818075
+0.0805703
+0.0793698
+0.0781337
+0.0769387
+0.075765
+0.0746372
+0.0735574
+0.0725235
+0.0715382
+0.0706012
+0.0696946
+0.0688365
+0.0680338
+0.0672651
+0.0665459
+0.0658917
+0.0653046
+0.0645963
+0.063902
+0.0632745
+0.0627173
+0.0622322
+0.0618211
+0.0614852
+0.061226
+0.0610444
+0.0609409
+0.0609162
+0.0609702
+0.0611027
+0.0607646
+0.0597954
+0.0588791
+0.0580279
+0.0572478
+0.056542
+0.0559131
+0.0553638
+0.0544919
+0.0536442
+0.0528701
+0.0521766
+0.0515634
+0.0510222
+0.0505703
+0.0502099
+0.0499432
+0.049755
+0.0496606
+0.0496455
+0.0497256
+0.0499019
+0.0501733
+0.0505383
+0.0509947
+0.0515237
+0.0521381
+0.0528363
+0.053615
+0.0544707
+0.0553848
+0.0563676
+0.0574172
+0.05853
+0.0597025
+0.0609311
+0.0622127
+0.0635418
+0.0649086
+0.0663196
+0.0677703
+0.0692587
+0.0707836
+0.0723428
+0.073934
+0.0755551
+0.0772045
+0.105007
+0.104777
+0.104593
+0.104454
+0.104362
+0.104315
+0.104314
+0.104359
+0.102904
+0.101298
+0.0997152
+0.0981553
+0.0966199
+0.0951101
+0.0936273
+0.0921728
+0.0907477
+0.0893537
+0.0879921
+0.0866646
+0.0853601
+0.08407
+0.0828086
+0.0815865
+0.0804055
+0.0792047
+0.0780274
+0.0768759
+0.0757646
+0.0746976
+0.0736763
+0.0727066
+0.0717849
+0.0708934
+0.0700513
+0.0692627
+0.0685006
+0.0677945
+0.0671525
+0.0665764
+0.066068
+0.0655643
+0.0649529
+0.0644102
+0.063938
+0.0635379
+0.0632112
+0.062959
+0.0627824
+0.0626819
+0.0626578
+0.0627103
+0.0628392
+0.0625908
+0.0616457
+0.0607543
+0.0599297
+0.0591747
+0.0584491
+0.0577286
+0.0569452
+0.0560501
+0.0552263
+0.0544747
+0.0538019
+0.0532075
+0.0526832
+0.0522456
+0.0518969
+0.0516388
+0.0514603
+0.0513669
+0.051351
+0.0514285
+0.0515989
+0.0518614
+0.0522146
+0.0526566
+0.053169
+0.0537646
+0.054442
+0.055198
+0.0560296
+0.05692
+0.0578767
+0.0588994
+0.0599847
+0.0611293
+0.0623299
+0.0635833
+0.0648841
+0.0662255
+0.0676113
+0.0690388
+0.0705043
+0.072003
+0.0735363
+0.0751022
+0.0766987
+0.0783239
+0.106579
+0.106353
+0.106171
+0.106034
+0.105943
+0.105896
+0.105896
+0.105353
+0.103739
+0.102147
+0.100577
+0.0990304
+0.0975088
+0.096013
+0.0945444
+0.0931041
+0.0916936
+0.0903142
+0.0889673
+0.0876545
+0.0863746
+0.0851007
+0.0838549
+0.0826483
+0.0814827
+0.0803211
+0.0791605
+0.0780324
+0.0769351
+0.0758806
+0.0748754
+0.0739215
+0.0730151
+0.0721388
+0.0713128
+0.07053
+0.0697757
+0.0690826
+0.0684527
+0.0678877
+0.0673891
+0.0669509
+0.0665757
+0.066131
+0.0656712
+0.0652817
+0.0649638
+0.0647185
+0.0645466
+0.0644488
+0.0644254
+0.0644765
+0.0646018
+0.0644397
+0.0634787
+0.0625286
+0.0616377
+0.0608032
+0.060031
+0.0593296
+0.0585201
+0.0576495
+0.0568489
+0.056119
+0.0554661
+0.0548897
+0.0543817
+0.0539579
+0.0536203
+0.0533706
+0.0532011
+0.0531075
+0.0530921
+0.0531671
+0.053332
+0.053586
+0.0539279
+0.0543559
+0.0548524
+0.05543
+0.0560872
+0.0568214
+0.0576295
+0.0584956
+0.059427
+0.0604234
+0.0614818
+0.062599
+0.0637719
+0.0649975
+0.0662706
+0.0675845
+0.068943
+0.0703435
+0.0717835
+0.0732608
+0.074773
+0.0763143
+0.0778859
+0.0794869
+0.108172
+0.107949
+0.10777
+0.107636
+0.107545
+0.1075
+0.107499
+0.106214
+0.104613
+0.103034
+0.101478
+0.0999459
+0.0984384
+0.0969571
+0.0955029
+0.0940773
+0.0926816
+0.0913171
+0.0899853
+0.0886875
+0.0874254
+0.0861691
+0.0849389
+0.0837479
+0.0825979
+0.0814812
+0.0803374
+0.0792283
+0.0781457
+0.0771077
+0.0761187
+0.0751805
+0.0742895
+0.0734284
+0.0726184
+0.0718356
+0.0710951
+0.0704151
+0.0697972
+0.0692431
+0.0687544
+0.068325
+0.0679574
+0.0676587
+0.0674299
+0.0670517
+0.0667422
+0.0665035
+0.0663363
+0.0662411
+0.0662184
+0.066268
+0.06639
+0.0659562
+0.0649691
+0.0640398
+0.0631702
+0.0623654
+0.0616281
+0.0609303
+0.0601336
+0.0592867
+0.0585085
+0.0577996
+0.0571659
+0.0566068
+0.0561143
+0.0557037
+0.0553768
+0.055135
+0.0549741
+0.0548804
+0.0548655
+0.054938
+0.0550976
+0.0553435
+0.0556746
+0.0560887
+0.0565689
+0.0571291
+0.057767
+0.0584801
+0.0592656
+0.0601098
+0.0610165
+0.0619874
+0.0630196
+0.06411
+0.0652557
+0.0664539
+0.0676996
+0.0689863
+0.0703177
+0.0716914
+0.0731049
+0.0745559
+0.0760424
+0.0775623
+0.0791109
+0.0806876
+0.109786
+0.109566
+0.10939
+0.109257
+0.109168
+0.109124
+0.108721
+0.107113
+0.105526
+0.103961
+0.102419
+0.100901
+0.0994077
+0.097941
+0.0965017
+0.095091
+0.0937104
+0.0923611
+0.0910445
+0.0897621
+0.0885153
+0.0872747
+0.0860603
+0.084885
+0.0837506
+0.0826587
+0.0815464
+0.0804526
+0.0793982
+0.0783769
+0.0774041
+0.0764817
+0.075606
+0.07476
+0.0739659
+0.0731835
+0.0724568
+0.0717897
+0.0711837
+0.0706405
+0.0701616
+0.0697408
+0.0693807
+0.0690882
+0.0688641
+0.0687093
+0.0685446
+0.0683121
+0.0681494
+0.0680568
+0.0680346
+0.0680829
+0.0682017
+0.0674629
+0.0664984
+0.0655893
+0.0647405
+0.0639555
+0.0632238
+0.0625286
+0.0617826
+0.0609586
+0.0602021
+0.0595133
+0.0588981
+0.0583556
+0.057878
+0.05748
+0.0571632
+0.056929
+0.0567761
+0.0566773
+0.0566629
+0.0567331
+0.0568876
+0.0571259
+0.0574467
+0.0578479
+0.0583137
+0.0588573
+0.0594767
+0.0601695
+0.0609333
+0.0617594
+0.0626423
+0.0635884
+0.064595
+0.0656592
+0.0667784
+0.0679498
+0.0691685
+0.0704284
+0.071733
+0.0730801
+0.0744672
+0.0758922
+0.0773531
+0.0788477
+0.0803742
+0.0819292
+0.0920187
+0.0901335
+0.0882625
+0.0864066
+0.0845666
+0.0827437
+0.0809391
+0.079154
+0.0773897
+0.0756477
+0.0739264
+0.07223
+0.0705609
+0.0689211
+0.0673125
+0.0657377
+0.0641989
+0.062699
+0.0612407
+0.059827
+0.058459
+0.0571331
+0.0558616
+0.0546484
+0.0534975
+0.0524129
+0.0513988
+0.0504594
+0.0495992
+0.0488221
+0.0481323
+0.0475335
+0.0470292
+0.0466225
+0.0463045
+0.0460799
+0.0459587
+0.0459418
+0.0460293
+0.0462206
+0.0465143
+0.0469087
+0.0474011
+0.0479885
+0.0486676
+0.0494345
+0.0502852
+0.0512114
+0.0522017
+0.0532637
+0.0543932
+0.0555862
+0.0568386
+0.0581466
+0.0595065
+0.0609148
+0.0623669
+0.0638607
+0.0653938
+0.0669634
+0.0685671
+0.0702025
+0.0718675
+0.07356
+0.0752783
+0.0770205
+0.0787852
+0.0805707
+0.0823758
+0.0841992
+0.0860398
+0.0878964
+0.089768
+0.0914269
+0.0930218
+0.0946405
+0.0962818
+0.0979447
+0.099628
+0.101323
+0.102979
+0.104656
+0.106309
+0.106692
+0.107119
+0.107583
+0.108086
+0.108632
+0.109218
+0.109804
+0.11043
+0.111095
+0.111795
+0.112528
+0.113292
+0.114092
+0.114929
+0.115799
+0.116658
+0.11755
+0.0911081
+0.0892038
+0.0873128
+0.0854362
+0.0835749
+0.0817299
+0.0799024
+0.0780936
+0.0763048
+0.0745374
+0.0727931
+0.0710721
+0.0693752
+0.0677066
+0.0660685
+0.0644632
+0.0628933
+0.0613615
+0.0598706
+0.0584238
+0.0570245
+0.0556731
+0.0543675
+0.0531202
+0.0519354
+0.0508174
+0.0497708
+0.0488002
+0.0479101
+0.0471052
+0.0463898
+0.0457683
+0.0452443
+0.0448214
+0.0444975
+0.0442638
+0.0441376
+0.04412
+0.0442111
+0.0444102
+0.0447159
+0.0451259
+0.0456376
+0.0462474
+0.0469517
+0.0477462
+0.0486264
+0.0495836
+0.0506057
+0.0517005
+0.0528635
+0.0540902
+0.0553764
+0.0567181
+0.0581115
+0.0595528
+0.0610374
+0.0625629
+0.064127
+0.0657269
+0.06736
+0.069024
+0.0707168
+0.0724362
+0.0741805
+0.0759479
+0.0777369
+0.079546
+0.0813738
+0.0832192
+0.0850809
+0.086958
+0.0886781
+0.0902684
+0.0918834
+0.0935218
+0.0951825
+0.0968642
+0.098559
+0.100214
+0.101889
+0.103583
+0.105085
+0.105473
+0.105904
+0.106371
+0.10688
+0.107432
+0.108025
+0.108659
+0.109333
+0.110025
+0.110736
+0.111481
+0.112255
+0.113066
+0.113912
+0.114792
+0.115672
+0.116566
+0.0902416
+0.0883185
+0.0864082
+0.0845115
+0.0826294
+0.0807628
+0.0789129
+0.0770808
+0.075268
+0.0734757
+0.0717055
+0.0699592
+0.0682385
+0.0665421
+0.0648746
+0.063239
+0.0616379
+0.0600741
+0.0585504
+0.0570702
+0.0556369
+0.0542542
+0.0529219
+0.0516397
+0.0504201
+0.0492678
+0.0481875
+0.0471843
+0.0462632
+0.0454291
+0.0446869
+0.0440413
+0.0434965
+0.0430565
+0.0427244
+0.042483
+0.0423515
+0.0423332
+0.0424281
+0.0426356
+0.0429538
+0.0433806
+0.0439126
+0.044546
+0.0452768
+0.0461001
+0.0470112
+0.0480006
+0.0490557
+0.0501843
+0.0513816
+0.0526429
+0.0539636
+0.0553396
+0.0567668
+0.0582414
+0.0597586
+0.0613159
+0.062911
+0.064541
+0.0662034
+0.0678958
+0.069616
+0.071362
+0.0731319
+0.0749241
+0.0767369
+0.078569
+0.0804191
+0.0822858
+0.0841682
+0.0859531
+0.0875381
+0.0891487
+0.0907837
+0.0924416
+0.0941213
+0.0958158
+0.0974679
+0.0991408
+0.100834
+0.102545
+0.103893
+0.104286
+0.104719
+0.10519
+0.105705
+0.106263
+0.106863
+0.107504
+0.108185
+0.108906
+0.109667
+0.110457
+0.111248
+0.112066
+0.112921
+0.113811
+0.114644
+0.115497
+0.0894203
+0.0874792
+0.0855502
+0.083634
+0.0817317
+0.0798441
+0.0779724
+0.0761177
+0.0742813
+0.0724646
+0.0706692
+0.0688966
+0.0671486
+0.0654274
+0.0637336
+0.062068
+0.0604359
+0.0588401
+0.0572837
+0.0557698
+0.0543022
+0.0528846
+0.0515212
+0.0502107
+0.0489555
+0.0477678
+0.0466529
+0.0456159
+0.0446624
+0.0437979
+0.0430276
+0.0423567
+0.04179
+0.0413317
+0.0409857
+0.0407422
+0.0406051
+0.040586
+0.040685
+0.0409013
+0.0412329
+0.0416773
+0.0422307
+0.0428891
+0.0436475
+0.044501
+0.0454442
+0.046467
+0.0475561
+0.0487195
+0.0499519
+0.0512484
+0.0526041
+0.0540148
+0.055476
+0.0569841
+0.0585338
+0.0601229
+0.0617488
+0.0634087
+0.0651
+0.0668204
+0.0685676
+0.0703396
+0.0721346
+0.0739509
+0.075787
+0.0776416
+0.0795132
+0.0814007
+0.0832537
+0.0848331
+0.0864386
+0.0880693
+0.0897239
+0.0914011
+0.093095
+0.0947438
+0.0964142
+0.0981051
+0.0998155
+0.101544
+0.102733
+0.103131
+0.103566
+0.104043
+0.104564
+0.105127
+0.105733
+0.106381
+0.10707
+0.107799
+0.108567
+0.109373
+0.110217
+0.111092
+0.111849
+0.112638
+0.113464
+0.114326
+0.0886432
+0.0866867
+0.0847396
+0.0828047
+0.0808828
+0.078975
+0.0770822
+0.0752055
+0.0733463
+0.0715059
+0.0696857
+0.0678874
+0.0661128
+0.0643639
+0.0626427
+0.0609516
+0.0592905
+0.057663
+0.0560739
+0.0545265
+0.0530244
+0.0515717
+0.0501726
+0.0488265
+0.0475348
+0.0463108
+0.0451598
+0.0440878
+0.0431005
+0.042204
+0.041404
+0.0407064
+0.0401164
+0.0396388
+0.0392778
+0.0390366
+0.0389037
+0.0388837
+0.038987
+0.0392127
+0.0395585
+0.0400215
+0.0405975
+0.0412819
+0.0420693
+0.0429542
+0.0439306
+0.0449878
+0.0461119
+0.0473108
+0.0485789
+0.0499111
+0.0513022
+0.0527476
+0.0542431
+0.0557845
+0.0573666
+0.0589871
+0.0606435
+0.0623329
+0.0640526
+0.0658003
+0.0675739
+0.0693713
+0.0711907
+0.0730305
+0.0748892
+0.0767654
+0.0786579
+0.0805655
+0.0821553
+0.0837554
+0.0853812
+0.0870317
+0.0887057
+0.0903984
+0.0920434
+0.0937107
+0.0953992
+0.0971078
+0.0988354
+0.100378
+0.101589
+0.101995
+0.102441
+0.102929
+0.103455
+0.104025
+0.104638
+0.105292
+0.105988
+0.106724
+0.1075
+0.108314
+0.109106
+0.109919
+0.110669
+0.111458
+0.112284
+0.113146
+0.0878997
+0.0859309
+0.0839727
+0.0820197
+0.080079
+0.0781515
+0.0762383
+0.0743403
+0.0724589
+0.0705953
+0.0687511
+0.0669277
+0.0651269
+0.0633507
+0.0616013
+0.0598808
+0.058192
+0.0565376
+0.0549208
+0.0533438
+0.0518078
+0.05032
+0.0488851
+0.0475025
+0.0461738
+0.0449127
+0.043725
+0.0426168
+0.0415947
+0.0406649
+0.0398341
+0.0391084
+0.0384939
+0.037996
+0.0376192
+0.0373673
+0.0372428
+0.0372325
+0.0373404
+0.037576
+0.0379367
+0.0384192
+0.0390189
+0.0397305
+0.0405481
+0.0414654
+0.042476
+0.0435685
+0.0447283
+0.0459634
+0.0472677
+0.0486357
+0.0500623
+0.0515425
+0.0530719
+0.0546464
+0.0562605
+0.057912
+0.0595983
+0.0613164
+0.0630639
+0.0648383
+0.0666374
+0.0684594
+0.0703024
+0.0721649
+0.0740454
+0.0759424
+0.0778549
+0.0795075
+0.0811012
+0.0827216
+0.0843673
+0.0860374
+0.0877283
+0.0893688
+0.0910324
+0.0927179
+0.0944242
+0.0958719
+0.0973275
+0.0988102
+0.100319
+0.100891
+0.101342
+0.101838
+0.102379
+0.102958
+0.103577
+0.104238
+0.104941
+0.105684
+0.106406
+0.107134
+0.107901
+0.108707
+0.109483
+0.11028
+0.111111
+0.111966
+0.0872049
+0.0852201
+0.0832455
+0.081282
+0.0793275
+0.0773813
+0.0754485
+0.0735302
+0.0716275
+0.0697417
+0.0678742
+0.0660266
+0.0642006
+0.0623981
+0.0606211
+0.058872
+0.0571534
+0.0554681
+0.0538191
+0.05221
+0.0506435
+0.0491219
+0.0476526
+0.0462404
+0.0448785
+0.0435799
+0.0423548
+0.0412099
+0.0401519
+0.0391879
+0.0383251
+0.0375703
+0.0369302
+0.0364109
+0.0360176
+0.0357544
+0.0356242
+0.0356285
+0.0357523
+0.0359982
+0.0363746
+0.0368775
+0.0375019
+0.0382417
+0.0390905
+0.0400412
+0.0410868
+0.0422153
+0.0434113
+0.0446827
+0.0460234
+0.0474273
+0.0488892
+0.0504039
+0.0519668
+0.0535737
+0.0552192
+0.056901
+0.0586163
+0.0603624
+0.0621367
+0.0639368
+0.0657607
+0.0676063
+0.0694719
+0.0713561
+0.0732573
+0.0751743
+0.0768934
+0.0784789
+0.0800931
+0.0817335
+0.0833988
+0.0850873
+0.0867224
+0.0883815
+0.0900144
+0.0914057
+0.092828
+0.0942797
+0.0957595
+0.0972661
+0.0987983
+0.0998219
+0.100278
+0.10078
+0.101326
+0.101917
+0.102551
+0.103219
+0.103841
+0.104494
+0.10519
+0.105926
+0.106701
+0.107516
+0.108289
+0.109061
+0.109855
+0.110686
+0.0865601
+0.0845601
+0.0825697
+0.0805898
+0.078621
+0.0766643
+0.0747146
+0.072777
+0.070854
+0.0689471
+0.0670575
+0.0651868
+0.0633365
+0.0615087
+0.0597053
+0.0579285
+0.0561811
+0.0544656
+0.0527854
+0.0511438
+0.0495435
+0.0479871
+0.0464819
+0.045033
+0.043646
+0.0423186
+0.0410559
+0.0398737
+0.0387793
+0.0377803
+0.0368846
+0.0360997
+0.035433
+0.0348914
+0.0344808
+0.0342057
+0.0340696
+0.0340741
+0.0342191
+0.0344875
+0.0348802
+0.0354043
+0.0360542
+0.0368231
+0.0377038
+0.0386887
+0.0397699
+0.0409347
+0.042167
+0.0434748
+0.0448516
+0.0462911
+0.0477877
+0.0493363
+0.0509319
+0.0525705
+0.0542465
+0.0559574
+0.0577008
+0.0594738
+0.0612739
+0.0630986
+0.064946
+0.0668141
+0.0687013
+0.070606
+0.0725269
+0.0743164
+0.0758926
+0.0774987
+0.0791328
+0.0807928
+0.082477
+0.0841068
+0.0856351
+0.0869862
+0.0883709
+0.0897878
+0.0912353
+0.0927119
+0.0942163
+0.0957472
+0.0973034
+0.0987831
+0.0992512
+0.099758
+0.10031
+0.100906
+0.101437
+0.102012
+0.10263
+0.103291
+0.103995
+0.104739
+0.105524
+0.106284
+0.107008
+0.107772
+0.108575
+0.109415
+0.0859662
+0.083952
+0.0819469
+0.0799516
+0.0779667
+0.0759931
+0.0740318
+0.0720825
+0.0701405
+0.0682136
+0.0663031
+0.0644105
+0.0625373
+0.0606854
+0.0588567
+0.0570536
+0.0552785
+0.0535341
+0.0518237
+0.0501506
+0.0485176
+0.0469272
+0.0453869
+0.0439018
+0.0424779
+0.0411214
+0.0398337
+0.038614
+0.0374829
+0.0364484
+0.035519
+0.0347033
+0.0340093
+0.0334447
+0.033016
+0.0327286
+0.0325864
+0.0325911
+0.0327426
+0.0330364
+0.0334462
+0.0339925
+0.0346688
+0.0354678
+0.0363813
+0.037401
+0.0385184
+0.0397253
+0.0410021
+0.0423459
+0.0437582
+0.0452325
+0.046763
+0.0483444
+0.0499717
+0.0516408
+0.053346
+0.0550849
+0.0568551
+0.0586537
+0.0604781
+0.0623261
+0.0641958
+0.0660851
+0.0679925
+0.0699165
+0.0717807
+0.073346
+0.0749426
+0.0765686
+0.0782222
+0.079901
+0.0813151
+0.0826207
+0.0839631
+0.0853407
+0.0867517
+0.0881946
+0.0896678
+0.0911698
+0.0926993
+0.0942548
+0.0958352
+0.0974392
+0.0982469
+0.0986928
+0.0991851
+0.0996865
+0.100224
+0.100805
+0.101431
+0.1021
+0.102812
+0.103565
+0.104314
+0.105006
+0.105739
+0.106512
+0.107324
+0.108174
+0.0854244
+0.0833971
+0.0813784
+0.0793687
+0.0773689
+0.0753797
+0.0734019
+0.0714366
+0.0694848
+0.0675433
+0.0656133
+0.0637001
+0.0618054
+0.0599309
+0.0580785
+0.0562504
+0.0544491
+0.0526773
+0.0509381
+0.049235
+0.0475705
+0.0459474
+0.044373
+0.0428528
+0.0413928
+0.0399996
+0.0386802
+0.0374384
+0.0362705
+0.0352004
+0.0342372
+0.0333902
+0.0326683
+0.0320801
+0.0316329
+0.0313329
+0.0311843
+0.0311892
+0.0313475
+0.031657
+0.0320859
+0.0326549
+0.0333584
+0.034188
+0.0351348
+0.0361896
+0.0373433
+0.0385869
+0.0399045
+0.041288
+0.0427391
+0.0442511
+0.045818
+0.047433
+0.0490906
+0.0507872
+0.0525195
+0.0542849
+0.0560803
+0.057903
+0.0597503
+0.0616202
+0.0635106
+0.0654197
+0.067346
+0.069288
+0.0708432
+0.0724288
+0.0740452
+0.0756905
+0.0770643
+0.0783182
+0.0796126
+0.0809457
+0.0823155
+0.0837202
+0.0851581
+0.0866275
+0.0881269
+0.0896547
+0.0912096
+0.0927901
+0.094395
+0.0960231
+0.0970489
+0.0975003
+0.0979924
+0.0984966
+0.0990402
+0.099629
+0.100262
+0.100939
+0.101659
+0.102399
+0.103058
+0.103758
+0.1045
+0.105282
+0.106103
+0.106963
+0.0849356
+0.0828964
+0.0808652
+0.0788424
+0.0768289
+0.0748253
+0.0728325
+0.0708514
+0.068883
+0.0669284
+0.0649889
+0.0630579
+0.0611433
+0.0592478
+0.0573734
+0.0555221
+0.0536964
+0.0518989
+0.0501327
+0.0484012
+0.046707
+0.0450528
+0.043446
+0.0418922
+0.0403975
+0.0389687
+0.0376132
+0.0363394
+0.035153
+0.0340478
+0.0330511
+0.0321728
+0.031423
+0.030811
+0.0303451
+0.0300322
+0.0298771
+0.0298822
+0.0300475
+0.0303703
+0.0308213
+0.0314133
+0.032144
+0.0330041
+0.0339839
+0.0350734
+0.0362625
+0.037542
+0.038895
+0.0403132
+0.0417982
+0.043343
+0.0449416
+0.0465883
+0.0482783
+0.0500072
+0.0517697
+0.0535599
+0.0553788
+0.0572238
+0.0590924
+0.0609824
+0.062892
+0.0648194
+0.0667629
+0.0683893
+0.0699619
+0.0715669
+0.0728826
+0.0740895
+0.0753295
+0.0766118
+0.0779346
+0.0792959
+0.0806937
+0.0821261
+0.0835914
+0.0850879
+0.086614
+0.088168
+0.0897486
+0.0913545
+0.0929842
+0.0946365
+0.095886
+0.0963429
+0.0968313
+0.0973415
+0.0978915
+0.0984872
+0.0991277
+0.0998122
+0.100539
+0.101162
+0.101828
+0.102537
+0.103287
+0.104078
+0.104909
+0.105777
+0.0845009
+0.0824509
+0.0804084
+0.0783739
+0.076348
+0.0743314
+0.072325
+0.0703296
+0.0683462
+0.0663758
+0.0644196
+0.062479
+0.0605533
+0.0586387
+0.0567442
+0.0548716
+0.0530235
+0.0512024
+0.0494113
+0.0476536
+0.0459319
+0.0442487
+0.0426116
+0.0410262
+0.0394988
+0.0380362
+0.0366463
+0.0353376
+0.0341195
+0.0330006
+0.0319712
+0.0310624
+0.0302851
+0.0296496
+0.0291652
+0.0288395
+0.028678
+0.0286833
+0.0288554
+0.0291914
+0.0296649
+0.0302795
+0.0310368
+0.0319268
+0.0329387
+0.0340616
+0.0352849
+0.0365985
+0.0379851
+0.0394361
+0.0409529
+0.0425284
+0.0441565
+0.0458315
+0.0475484
+0.0493028
+0.0510897
+0.0529028
+0.0547436
+0.0566093
+0.0584975
+0.0604062
+0.0623334
+0.0642775
+0.0659896
+0.067547
+0.0687891
+0.0699303
+0.0711206
+0.0723501
+0.0736191
+0.0749307
+0.0762826
+0.0776728
+0.0790993
+0.0805601
+0.0820534
+0.0835774
+0.0851305
+0.0867112
+0.0883179
+0.0899493
+0.091604
+0.0932807
+0.0946487
+0.0951313
+0.0956616
+0.0962023
+0.0967779
+0.0973813
+0.098029
+0.0987211
+0.0993248
+0.0999554
+0.10063
+0.101347
+0.102106
+0.102906
+0.103747
+0.104624
+0.0841187
+0.0820615
+0.080009
+0.0779641
+0.0759273
+0.0738992
+0.0718808
+0.0698727
+0.0678759
+0.0658914
+0.0639204
+0.0619642
+0.0600241
+0.0581019
+0.0561933
+0.0543018
+0.0524336
+0.0505913
+0.0487778
+0.0469964
+0.0452497
+0.0435401
+0.0418753
+0.0402609
+0.0387033
+0.0372094
+0.0357874
+0.0344461
+0.0331953
+0.0320456
+0.0310059
+0.030068
+0.0292643
+0.0286061
+0.0281038
+0.0277656
+0.0275978
+0.0276033
+0.0277821
+0.0281309
+0.0286224
+0.0292589
+0.030042
+0.0309606
+0.0320031
+0.0331576
+0.0344131
+0.0357588
+0.0371821
+0.0386633
+0.0402093
+0.0418129
+0.0434677
+0.0451683
+0.0469094
+0.048687
+0.0504956
+0.0523293
+0.0541896
+0.0560737
+0.0579794
+0.0599046
+0.0618474
+0.0636503
+0.0648075
+0.0658719
+0.0669911
+0.0681623
+0.069381
+0.0706354
+0.0719347
+0.0732764
+0.0746583
+0.0760783
+0.0775341
+0.0790238
+0.0805456
+0.0820976
+0.0836782
+0.0852857
+0.0869188
+0.0885759
+0.0902558
+0.0919336
+0.0934395
+0.0939283
+0.0944654
+0.0950324
+0.0956151
+0.0962442
+0.0969187
+0.0975517
+0.0981448
+0.0987829
+0.0994653
+0.100191
+0.100959
+0.101768
+0.102618
+0.103504
+0.0837901
+0.0817268
+0.0796679
+0.077614
+0.0755677
+0.0735298
+0.0715009
+0.0694818
+0.0674735
+0.0654768
+0.0634929
+0.0615231
+0.0595687
+0.0576313
+0.0557126
+0.0538148
+0.0519295
+0.0500686
+0.0482354
+0.0464333
+0.0446645
+0.0429317
+0.0412423
+0.0396022
+0.0380175
+0.0364956
+0.0350447
+0.0336738
+0.0323932
+0.0312139
+0.0301456
+0.02918
+0.0283511
+0.0276713
+0.0271516
+0.0268015
+0.0266276
+0.0266333
+0.0268186
+0.0271797
+0.0277014
+0.0283586
+0.0291659
+0.0301112
+0.0311821
+0.0323659
+0.0336509
+0.0350259
+0.0364807
+0.0380013
+0.0395731
+0.0412015
+0.04288
+0.0446029
+0.0463653
+0.0481629
+0.0499905
+0.0518421
+0.0537192
+0.0556193
+0.05754
+0.0594794
+0.0609508
+0.0619351
+0.0629719
+0.0640669
+0.065217
+0.0664196
+0.067662
+0.0689477
+0.0702782
+0.071651
+0.0730636
+0.0745139
+0.0759997
+0.0775189
+0.0790697
+0.0806501
+0.0822585
+0.0838933
+0.0855529
+0.0872096
+0.0888876
+0.0905875
+0.0922665
+0.0927615
+0.0933052
+0.0938956
+0.0944869
+0.0951249
+0.0958077
+0.0963998
+0.097
+0.0976456
+0.0983358
+0.0990697
+0.0998462
+0.100664
+0.101521
+0.10241
+0.0835177
+0.0814474
+0.0793836
+0.0773244
+0.0752702
+0.073224
+0.0711864
+0.0691582
+0.0671401
+0.0651333
+0.0631386
+0.0611573
+0.0591909
+0.0572407
+0.0553085
+0.0533963
+0.0515062
+0.0496372
+0.0477875
+0.0459678
+0.0441804
+0.0424278
+0.0407175
+0.0390554
+0.0374476
+0.0359015
+0.0344255
+0.033029
+0.0317223
+0.0305172
+0.0294235
+0.0284334
+0.0275821
+0.0268828
+0.0263476
+0.0259867
+0.0258072
+0.0258132
+0.0260043
+0.0263766
+0.0269226
+0.0276031
+0.0284319
+0.0294008
+0.0304966
+0.0317061
+0.0330168
+0.0344171
+0.0358966
+0.037445
+0.0390497
+0.040699
+0.0423974
+0.0441391
+0.0459194
+0.0477338
+0.0495772
+0.0514436
+0.0533348
+0.0552481
+0.0571688
+0.0580988
+0.0590719
+0.0600917
+0.0611598
+0.0622866
+0.0634645
+0.0646853
+0.0659563
+0.0672747
+0.0686376
+0.0700426
+0.0714871
+0.0729688
+0.0744854
+0.0760349
+0.0776153
+0.0792248
+0.0808616
+0.0825059
+0.0841637
+0.0858454
+0.0875495
+0.0892749
+0.0910203
+0.0916322
+0.0921826
+0.0927501
+0.0933486
+0.0939943
+0.0946864
+0.0952844
+0.0958916
+0.0965446
+0.0972426
+0.0979846
+0.0987697
+0.0995942
+0.100453
+0.101352
+0.083302
+0.0812262
+0.0791567
+0.0770938
+0.0750356
+0.0729828
+0.0709382
+0.0689027
+0.0668769
+0.0648619
+0.0628586
+0.0608683
+0.0588922
+0.0569317
+0.0549887
+0.0530649
+0.0511627
+0.0492844
+0.0474328
+0.0456029
+0.0438006
+0.0420321
+0.0403051
+0.0386252
+0.0369987
+0.0354331
+0.0339367
+0.0325192
+0.0311912
+0.0299647
+0.0288501
+0.0278397
+0.0269696
+0.026254
+0.0257057
+0.0253356
+0.0251515
+0.0251576
+0.0253537
+0.0257354
+0.0262947
+0.0270032
+0.0278498
+0.0288383
+0.0299547
+0.0311852
+0.0325169
+0.0339343
+0.0354306
+0.0369961
+0.0386225
+0.0403023
+0.0420236
+0.0437802
+0.0455745
+0.0474021
+0.0492548
+0.0511331
+0.0530353
+0.0543554
+0.0552734
+0.0562101
+0.0572084
+0.0582628
+0.0593681
+0.060513
+0.0617145
+0.0629692
+0.0642742
+0.0656263
+0.0670228
+0.0684609
+0.0699381
+0.0714519
+0.073
+0.0745804
+0.076191
+0.0778219
+0.0794591
+0.0811217
+0.0828073
+0.0845159
+0.0862463
+0.0879973
+0.0897675
+0.0904849
+0.0910322
+0.0916285
+0.0922483
+0.0929017
+0.0936018
+0.0942068
+0.0948208
+0.0954811
+0.0961869
+0.096937
+0.0977279
+0.0985543
+0.0993996
+0.100132
+0.0831435
+0.0810637
+0.0789898
+0.0769225
+0.0748622
+0.0728067
+0.070757
+0.0687161
+0.0666847
+0.0646637
+0.0626541
+0.060657
+0.0586738
+0.0567058
+0.0547547
+0.0528225
+0.0509112
+0.0490232
+0.0471614
+0.0453251
+0.0435121
+0.0417354
+0.0399998
+0.0383108
+0.0366749
+0.0350954
+0.033584
+0.0321509
+0.0308071
+0.0295646
+0.0284344
+0.0274086
+0.0265244
+0.0257965
+0.0252382
+0.0248611
+0.0246735
+0.0246797
+0.0248796
+0.0252684
+0.0258378
+0.0265585
+0.0274189
+0.0284224
+0.0295545
+0.030801
+0.0321486
+0.0335816
+0.0350929
+0.0366728
+0.0383129
+0.0400058
+0.041745
+0.0435218
+0.04532
+0.0471515
+0.0490124
+0.0507252
+0.0515644
+0.0524788
+0.0533746
+0.0543437
+0.0553669
+0.0564558
+0.057577
+0.0587568
+0.0599934
+0.0612834
+0.0626235
+0.0640105
+0.0654415
+0.0669136
+0.0684242
+0.0699707
+0.071551
+0.0731626
+0.074776
+0.0764157
+0.0780823
+0.0797737
+0.0814871
+0.0832229
+0.0849781
+0.0867368
+0.0885148
+0.0892677
+0.0898223
+0.0904267
+0.0910797
+0.0917804
+0.0925276
+0.0931681
+0.093789
+0.0944565
+0.0951699
+0.0959253
+0.0967175
+0.0974906
+0.0981888
+0.0989306
+0.0830425
+0.0809601
+0.0788835
+0.0768133
+0.07475
+0.0726941
+0.0706434
+0.0685991
+0.0665641
+0.0645393
+0.0625257
+0.0605244
+0.0585366
+0.0565639
+0.0546078
+0.0526701
+0.050753
+0.048859
+0.0469907
+0.0451474
+0.043327
+0.0415424
+0.0397983
+0.0381004
+0.0364551
+0.0348699
+0.0333532
+0.031915
+0.0305662
+0.0293192
+0.0281833
+0.027148
+0.026255
+0.0255194
+0.0249549
+0.0245735
+0.0243837
+0.02439
+0.0245922
+0.0249855
+0.0255612
+0.0262895
+0.0271584
+0.0281712
+0.029313
+0.0305693
+0.0319267
+0.0333692
+0.0348897
+0.0364785
+0.0381269
+0.0398277
+0.0415743
+0.0433581
+0.0451629
+0.0470005
+0.0480231
+0.0488105
+0.0496821
+0.0505699
+0.0514989
+0.0524941
+0.0535517
+0.0546588
+0.0558143
+0.0570306
+0.0583038
+0.0596304
+0.0610068
+0.0624298
+0.0638961
+0.065403
+0.0669477
+0.0685276
+0.0701225
+0.0717347
+0.0733769
+0.0750471
+0.0767435
+0.0784637
+0.0801957
+0.08194
+0.0837052
+0.0854901
+0.0872934
+0.0880881
+0.0886501
+0.0892624
+0.0899239
+0.0906335
+0.0913901
+0.0921699
+0.0927974
+0.0934721
+0.0941902
+0.0949463
+0.0956358
+0.0962851
+0.0969795
+0.0977181
+0.0829992
+0.0809157
+0.078838
+0.0767665
+0.0747019
+0.0726447
+0.0705926
+0.0685471
+0.0665108
+0.0644847
+0.0624696
+0.0604668
+0.0584774
+0.056503
+0.054545
+0.0526054
+0.0506863
+0.04879
+0.0469195
+0.0450756
+0.0432522
+0.0414644
+0.0397169
+0.0380153
+0.0363662
+0.0347769
+0.033256
+0.0318133
+0.0304601
+0.0292086
+0.0280724
+0.0270628
+0.0261669
+0.0254287
+0.0248622
+0.0244794
+0.0242888
+0.0242951
+0.0244981
+0.0248929
+0.0254707
+0.0262015
+0.0270732
+0.0280891
+0.0292341
+0.0304937
+0.0318543
+0.0332999
+0.0348235
+0.0364151
+0.0380663
+0.0397696
+0.0415187
+0.0433048
+0.0447385
+0.0453716
+0.0461003
+0.0469199
+0.0478015
+0.0486848
+0.049648
+0.0506669
+0.0517446
+0.0528896
+0.054083
+0.0553373
+0.0566486
+0.0580131
+0.0594269
+0.0608868
+0.0623895
+0.0639319
+0.0655046
+0.0670847
+0.0686984
+0.0703432
+0.0720171
+0.0737182
+0.0754283
+0.0771559
+0.0789065
+0.0806786
+0.0824708
+0.0842818
+0.0861105
+0.0869477
+0.0875171
+0.0881372
+0.0888071
+0.0895255
+0.0902915
+0.091083
+0.0918474
+0.0925263
+0.0932444
+0.0938187
+0.0944296
+0.0950871
+0.0957903
+0.096538
+0.0829957
+0.080916
+0.0788423
+0.0767751
+0.0747149
+0.0726554
+0.0706016
+0.0685564
+0.0665204
+0.0644945
+0.0624798
+0.0604773
+0.0584883
+0.0565142
+0.0545566
+0.0526175
+0.0506988
+0.048803
+0.046933
+0.0450918
+0.0432831
+0.041502
+0.0397561
+0.0380564
+0.0364091
+0.0348217
+0.0333029
+0.0318623
+0.0305112
+0.0292619
+0.028128
+0.0271239
+0.0262487
+0.0255128
+0.0249483
+0.0245667
+0.0243769
+0.0243831
+0.0245854
+0.0249788
+0.0255547
+0.0262963
+0.027165
+0.0281775
+0.0293191
+0.0305752
+0.0319323
+0.0333746
+0.0348949
+0.0364834
+0.0381316
+0.0398322
+0.0415786
+0.0422173
+0.0427803
+0.0434419
+0.0442024
+0.0450566
+0.0459072
+0.0468262
+0.0478077
+0.0488502
+0.0499671
+0.0511531
+0.052386
+0.05368
+0.0550308
+0.0564344
+0.0578869
+0.0593846
+0.0609243
+0.0624728
+0.0640528
+0.0656678
+0.0673154
+0.0689933
+0.0706788
+0.0723872
+0.0741209
+0.0758783
+0.0776577
+0.0794576
+0.0812768
+0.0831138
+0.0849677
+0.0858041
+0.086381
+0.0870092
+0.0876876
+0.0884151
+0.0891811
+0.0899723
+0.0908095
+0.0915481
+0.0920699
+0.0926406
+0.0932593
+0.093925
+0.0946368
+0.0953935
+0.08305
+0.0809717
+0.0788994
+0.0768337
+0.0747752
+0.0727231
+0.0706758
+0.0686356
+0.066602
+0.0645787
+0.0625667
+0.060567
+0.0585811
+0.0566102
+0.0546561
+0.0527206
+0.0508058
+0.0489142
+0.0470486
+0.0452121
+0.0434085
+0.041642
+0.0399158
+0.0382231
+0.0365833
+0.0350039
+0.0334933
+0.0320613
+0.030719
+0.0294785
+0.0283532
+0.0273573
+0.0264898
+0.0257609
+0.0252019
+0.0248243
+0.0246364
+0.0246426
+0.0248427
+0.0252322
+0.0258024
+0.0265417
+0.0274198
+0.0284233
+0.0295553
+0.0308018
+0.0321494
+0.0335859
+0.0351005
+0.0366825
+0.0383223
+0.0393745
+0.0397455
+0.0402315
+0.0408283
+0.041524
+0.0423056
+0.0431651
+0.0440404
+0.0449802
+0.0459825
+0.0470654
+0.0482237
+0.0494519
+0.0507269
+0.0520622
+0.0534539
+0.0548978
+0.0563898
+0.0579079
+0.0594478
+0.0610275
+0.0626439
+0.0642944
+0.0659511
+0.067637
+0.0693511
+0.0710913
+0.0728559
+0.0746431
+0.0764512
+0.0782789
+0.0801248
+0.0819877
+0.0838664
+0.0846105
+0.0851954
+0.0858323
+0.0865199
+0.0872572
+0.0880428
+0.0888755
+0.0897489
+0.0903936
+0.090922
+0.0914999
+0.0921262
+0.0928001
+0.0935204
+0.0942861
+0.0831619
+0.0810865
+0.0790172
+0.0769547
+0.0748995
+0.0728509
+0.0708073
+0.0687727
+0.066748
+0.0647341
+0.06273
+0.0607357
+0.0587555
+0.0567907
+0.054843
+0.0529143
+0.0510068
+0.049123
+0.0472656
+0.0454378
+0.0436436
+0.041887
+0.0401731
+0.0385076
+0.0368871
+0.0353212
+0.0338248
+0.0324075
+0.0310801
+0.0298546
+0.028744
+0.0277622
+0.0269078
+0.0261905
+0.0256408
+0.0252698
+0.0250852
+0.0250913
+0.0252879
+0.0256706
+0.0262313
+0.0269588
+0.0278302
+0.0288193
+0.0299364
+0.0311677
+0.0325001
+0.0339218
+0.0354219
+0.0369162
+0.0370757
+0.037346
+0.0377346
+0.0382449
+0.0388722
+0.0395902
+0.0403981
+0.0412973
+0.0421907
+0.0431466
+0.0441904
+0.0453163
+0.0465181
+0.0477901
+0.0491095
+0.0504875
+0.0519215
+0.0534023
+0.0548937
+0.0564308
+0.0580099
+0.0596253
+0.0612503
+0.0629095
+0.0646005
+0.0663207
+0.0680679
+0.0698402
+0.0716356
+0.0734524
+0.0752892
+0.0771444
+0.0790168
+0.0809052
+0.0828085
+0.0834545
+0.0840475
+0.0846929
+0.0853897
+0.0861366
+0.0869323
+0.0877754
+0.0886647
+0.0892716
+0.0898093
+0.0903968
+0.0910318
+0.09171
+0.0924313
+0.0931985
+0.0833248
+0.0812564
+0.0791946
+0.0771378
+0.0750876
+0.0730443
+0.0710062
+0.0689775
+0.0669589
+0.0649516
+0.0629565
+0.0609748
+0.0590078
+0.0570548
+0.0551164
+0.0531977
+0.0513007
+0.049428
+0.0475825
+0.0457675
+0.0439866
+0.0422443
+0.0405456
+0.038896
+0.0373022
+0.0357701
+0.0342933
+0.0328962
+0.0315894
+0.0303844
+0.0292939
+0.0283312
+0.0274944
+0.0267928
+0.0262558
+0.0258936
+0.0257135
+0.0257194
+0.0259112
+0.0262849
+0.0268327
+0.0275444
+0.0284006
+0.0293739
+0.0304706
+0.0316811
+0.0329928
+0.0343941
+0.0348467
+0.0348783
+0.0350471
+0.035333
+0.0357434
+0.0362818
+0.0369325
+0.0376828
+0.0385208
+0.0394473
+0.0403492
+0.0413477
+0.0424359
+0.043607
+0.0448546
+0.0461725
+0.047538
+0.0489603
+0.0504042
+0.0518893
+0.053423
+0.0549947
+0.056583
+0.0582104
+0.0598738
+0.0615701
+0.0632969
+0.0650516
+0.066832
+0.0686362
+0.0704622
+0.0723086
+0.0741737
+0.0760561
+0.0779547
+0.0798682
+0.0817792
+0.0823259
+0.0829269
+0.083581
+0.084287
+0.0850435
+0.0858494
+0.086703
+0.0876032
+0.0881751
+0.0887194
+0.0893141
+0.0899504
+0.0906328
+0.0913626
+0.0921386
+0.0835379
+0.0814773
+0.0794212
+0.0773725
+0.0753318
+0.0732998
+0.0712719
+0.0692509
+0.0672406
+0.0652419
+0.063256
+0.061284
+0.0593273
+0.0573875
+0.0554665
+0.0535661
+0.0516858
+0.0498276
+0.0479975
+0.0461987
+0.0444352
+0.0427112
+0.0410317
+0.0394026
+0.0378301
+0.0363216
+0.0348697
+0.0334974
+0.0322156
+0.0310358
+0.0299698
+0.0290303
+0.0282299
+0.0275567
+0.0270348
+0.0266831
+0.0265084
+0.0265142
+0.0267003
+0.027063
+0.0275954
+0.0282879
+0.0291223
+0.0300727
+0.0311484
+0.0323352
+0.0330573
+0.0329135
+0.0328266
+0.0328602
+0.0330392
+0.0333423
+0.033777
+0.0343461
+0.0350192
+0.0357971
+0.0366782
+0.0375991
+0.0385443
+0.0395884
+0.0407236
+0.0419425
+0.0432382
+0.0446039
+0.0459983
+0.047419
+0.0488966
+0.0504147
+0.0519583
+0.053547
+0.055177
+0.0568447
+0.0585469
+0.0602806
+0.0620433
+0.0638324
+0.0656459
+0.0674818
+0.0693383
+0.0712138
+0.0731068
+0.075016
+0.0769272
+0.0788371
+0.0806866
+0.0812407
+0.0818496
+0.0825123
+0.0832273
+0.0839934
+0.0848092
+0.0856733
+0.0865391
+0.0871199
+0.0876707
+0.0882646
+0.0889059
+0.0895961
+0.0903343
+0.0911191
+0.083799
+0.0817452
+0.0796986
+0.0776599
+0.0756298
+0.0736088
+0.0715959
+0.0695923
+0.0675922
+0.0656042
+0.0636295
+0.0616695
+0.0597254
+0.057799
+0.0558921
+0.0540067
+0.0521452
+0.0503102
+0.0485048
+0.0467288
+0.044986
+0.043284
+0.0416277
+0.0400227
+0.0384757
+0.0369934
+0.035569
+0.0342247
+0.0329713
+0.0318195
+0.0307807
+0.0298667
+0.0290893
+0.0284597
+0.0279641
+0.0276243
+0.0274556
+0.0274612
+0.0276409
+0.0279914
+0.0285065
+0.0291774
+0.029987
+0.0309108
+0.0317887
+0.0313724
+0.0311052
+0.0309212
+0.0308298
+0.0308655
+0.0310561
+0.0313784
+0.0318399
+0.032431
+0.0331163
+0.0339159
+0.0348013
+0.0357896
+0.0367814
+0.037874
+0.0390591
+0.0403284
+0.0416571
+0.043042
+0.0444493
+0.0459005
+0.0473886
+0.0489296
+0.0505186
+0.0521513
+0.0538235
+0.0555319
+0.0572731
+0.0590442
+0.0608427
+0.0626661
+0.0645124
+0.0663797
+0.0682662
+0.0701703
+0.0720621
+0.0739678
+0.0758889
+0.0778243
+0.0795464
+0.0801548
+0.0808174
+0.0814885
+0.0822124
+0.0829879
+0.0838135
+0.0846485
+0.0853895
+0.0860899
+0.0866567
+0.0872548
+0.0879035
+0.0885811
+0.0892986
+0.0900636
+0.0841163
+0.0820705
+0.0800322
+0.0780023
+0.0759813
+0.0739699
+0.071969
+0.0699795
+0.0680023
+0.0660372
+0.0640759
+0.0621299
+0.0602007
+0.05829
+0.0563997
+0.0545319
+0.0526889
+0.0508736
+0.0490888
+0.0473382
+0.0456256
+0.0439554
+0.0423287
+0.0407514
+0.0392331
+0.0377806
+0.036387
+0.035074
+0.0338521
+0.0327313
+0.0317224
+0.0308363
+0.030084
+0.0294756
+0.0290202
+0.0286945
+0.0285321
+0.0285375
+0.0287105
+0.0290481
+0.0295448
+0.0301926
+0.0309814
+0.0304907
+0.0299144
+0.0294716
+0.0291487
+0.0289489
+0.0288597
+0.0288993
+0.0291028
+0.0294464
+0.0298885
+0.0304694
+0.0311937
+0.0320211
+0.0329545
+0.0339715
+0.0350139
+0.036159
+0.0373761
+0.0386792
+0.0400597
+0.0414737
+0.0428917
+0.0443726
+0.0459102
+0.0474992
+0.0491345
+0.0508116
+0.0525266
+0.0542758
+0.056056
+0.0578644
+0.0596984
+0.0615558
+0.0634344
+0.065319
+0.0672017
+0.0691026
+0.0710202
+0.0729532
+0.0748445
+0.0767139
+0.0783813
+0.0789986
+0.0796714
+0.0803983
+0.0811265
+0.0819008
+0.082726
+0.0835636
+0.0842812
+0.0849907
+0.0856153
+0.0862054
+0.0868337
+0.0875085
+0.0882326
+0.0890047
+0.0843937
+0.082375
+0.0803653
+0.0783653
+0.0763758
+0.0743938
+0.0724046
+0.0704274
+0.0684631
+0.066513
+0.0645784
+0.0626606
+0.0607513
+0.0588585
+0.0569871
+0.0551391
+0.0533172
+0.0515239
+0.0497625
+0.0480365
+0.0463497
+0.0447066
+0.0431122
+0.0415722
+0.0400928
+0.0386759
+0.0373158
+0.0360367
+0.0348485
+0.0337608
+0.0327836
+0.031927
+0.031201
+0.0306148
+0.0301766
+0.0298723
+0.0297164
+0.0297215
+0.0298877
+0.0302122
+0.03069
+0.0301769
+0.0293687
+0.028678
+0.0280327
+0.0275468
+0.0271945
+0.0269676
+0.0268999
+0.0269677
+0.0271464
+0.0274556
+0.0279155
+0.0285366
+0.0292931
+0.0301574
+0.0311385
+0.0321485
+0.0332482
+0.0344461
+0.0357217
+0.037083
+0.0384928
+0.0398965
+0.0413686
+0.0429021
+0.0444906
+0.0461285
+0.0478107
+0.0495327
+0.0512904
+0.0530804
+0.0548994
+0.0567447
+0.0586137
+0.0604722
+0.0623474
+0.0642425
+0.0661559
+0.068086
+0.0699883
+0.0718505
+0.0737308
+0.0756278
+0.0772238
+0.0778502
+0.0785326
+0.07924
+0.0799726
+0.080758
+0.0815947
+0.0824811
+0.0832157
+0.0839342
+0.0845184
+0.0851292
+0.0857675
+0.0864506
+0.0871835
+0.0879648
+0.0846796
+0.0826679
+0.0806655
+0.0786732
+0.0766916
+0.0747218
+0.0727645
+0.0708209
+0.0688922
+0.0669796
+0.0650845
+0.0632085
+0.0613534
+0.0594945
+0.0576517
+0.0558258
+0.054027
+0.0522581
+0.0505223
+0.0488231
+0.0471645
+0.0455508
+0.043987
+0.0424787
+0.041032
+0.0396536
+0.0383426
+0.0370989
+0.0359459
+0.0348924
+0.0339478
+0.0331213
+0.032422
+0.0318583
+0.0314375
+0.0311598
+0.0310104
+0.0310153
+0.0311745
+0.0305401
+0.0294468
+0.02847
+0.0276018
+0.0268564
+0.026185
+0.0256642
+0.025264
+0.0250208
+0.0249478
+0.0249984
+0.0251603
+0.0254826
+0.0259774
+0.0266372
+0.0274249
+0.0283314
+0.0293164
+0.0303738
+0.0315354
+0.0327903
+0.0341278
+0.0355234
+0.0369183
+0.0383796
+0.0399077
+0.0414952
+0.0431356
+0.044823
+0.0465524
+0.0483193
+0.0501196
+0.0519499
+0.053793
+0.0556345
+0.0575005
+0.0593887
+0.061297
+0.0632236
+0.0651386
+0.0669923
+0.0688659
+0.0707576
+0.0726661
+0.0745902
+0.0760861
+0.0767218
+0.0774144
+0.0781188
+0.078862
+0.0796584
+0.0805066
+0.0814049
+0.0821949
+0.0828856
+0.0834532
+0.0840742
+0.0847445
+0.0854358
+0.0861773
+0.0868741
+0.0850208
+0.0830176
+0.0810239
+0.0790406
+0.0770685
+0.0751085
+0.0731616
+0.0712289
+0.0693115
+0.0674108
+0.0655282
+0.0636653
+0.0618239
+0.0600059
+0.0582101
+0.0564411
+0.0547027
+0.0529978
+0.0513297
+0.0496894
+0.0480635
+0.046483
+0.0449517
+0.0434769
+0.0420645
+0.040721
+0.0394491
+0.0382414
+0.0371239
+0.0361048
+0.0351927
+0.0343961
+0.0337233
+0.0331817
+0.0327779
+0.032517
+0.0324009
+0.031572
+0.0302456
+0.0289963
+0.0278513
+0.0268025
+0.025871
+0.0250742
+0.0243637
+0.0238058
+0.0233758
+0.0231177
+0.0230387
+0.0230326
+0.0232075
+0.0235481
+0.0240827
+0.0247669
+0.0255915
+0.0265308
+0.0275401
+0.0286506
+0.0298793
+0.0312004
+0.0325672
+0.0339616
+0.0354094
+0.0369304
+0.0385161
+0.0401586
+0.0418514
+0.0435886
+0.0453651
+0.0471764
+0.0489815
+0.0508085
+0.0526632
+0.0545429
+0.056445
+0.0583673
+0.0602967
+0.0621404
+0.064006
+0.0658916
+0.0677956
+0.0697164
+0.0716519
+0.0735959
+0.0749926
+0.0756383
+0.0763345
+0.0770326
+0.0777862
+0.0785843
+0.0794322
+0.080331
+0.0812203
+0.0818462
+0.082421
+0.0830496
+0.0837309
+0.0844564
+0.0850399
+0.0856606
+0.0854072
+0.0834154
+0.0814317
+0.0794586
+0.0774972
+0.0755484
+0.0736132
+0.0716927
+0.0697882
+0.0679008
+0.0660323
+0.0641841
+0.062358
+0.0605518
+0.0587716
+0.05702
+0.0552998
+0.0536139
+0.0519656
+0.0503588
+0.0487973
+0.0472859
+0.0458293
+0.044433
+0.0431029
+0.0418453
+0.0406225
+0.0394725
+0.0383908
+0.0374062
+0.0365267
+0.0357598
+0.0351132
+0.0345933
+0.0342062
+0.0332356
+0.0316914
+0.030217
+0.0288124
+0.0274972
+0.0262881
+0.0251748
+0.024198
+0.0232979
+0.0225464
+0.0219423
+0.0215325
+0.0212701
+0.021137
+0.0211068
+0.021293
+0.0216624
+0.0222182
+0.022943
+0.0238186
+0.0247463
+0.0258153
+0.0269953
+0.0282959
+0.0296375
+0.0310317
+0.0324631
+0.0339748
+0.0355572
+0.0372014
+0.0388996
+0.0406448
+0.0424165
+0.0441891
+0.0459978
+0.0478384
+0.0497074
+0.0516017
+0.0535187
+0.0554546
+0.0572965
+0.0591526
+0.0610309
+0.0629294
+0.0648463
+0.0667796
+0.0687218
+0.0706786
+0.0726487
+0.073927
+0.0745692
+0.0752693
+0.0759724
+0.0767242
+0.0775306
+0.0783899
+0.0793005
+0.0802606
+0.0808349
+0.0814098
+0.0819896
+0.0826235
+0.0832785
+0.0838598
+0.0844864
+0.0858385
+0.0838547
+0.0818813
+0.0799193
+0.0779695
+0.0760328
+0.0741103
+0.072203
+0.0703123
+0.0684394
+0.066586
+0.0647536
+0.0629441
+0.0611595
+0.0594022
+0.0576745
+0.0559764
+0.0543114
+0.052685
+0.0511008
+0.0495627
+0.0480753
+0.0466434
+0.0452723
+0.0439676
+0.0427354
+0.0415791
+0.040504
+0.0395211
+0.0386375
+0.0378602
+0.0371959
+0.0365815
+0.0354607
+0.0337446
+0.0320748
+0.0304711
+0.0289303
+0.0274599
+0.0260782
+0.0247928
+0.0236381
+0.0225505
+0.0215835
+0.0207838
+0.0201269
+0.019651
+0.0193268
+0.0191672
+0.0192255
+0.0194355
+0.0198266
+0.0204133
+0.0211397
+0.0219802
+0.0229802
+0.024138
+0.0254206
+0.0267348
+0.028117
+0.029547
+0.0310469
+0.0326243
+0.0342692
+0.0359608
+0.0376807
+0.0394228
+0.0412078
+0.0430302
+0.0448856
+0.04677
+0.04868
+0.0506114
+0.0524627
+0.0543072
+0.0561767
+0.0580686
+0.0599808
+0.0619115
+0.0638515
+0.0658072
+0.0677773
+0.0697606
+0.0717559
+0.0728587
+0.0735105
+0.0742206
+0.0749359
+0.075698
+0.0765153
+0.077386
+0.0783083
+0.0792351
+0.0797104
+0.0802427
+0.0808309
+0.0814737
+0.0821339
+0.0827181
+0.0833532
+0.0852398
+0.0842725
+0.0823868
+0.0804371
+0.0785002
+0.0765769
+0.0746684
+0.0727757
+0.0709003
+0.0690434
+0.0672066
+0.0653916
+0.0636002
+0.0618346
+0.060097
+0.0583899
+0.056716
+0.0550783
+0.0534803
+0.0519247
+0.0504118
+0.0489502
+0.0475446
+0.0462002
+0.0449185
+0.0437061
+0.042572
+0.0415225
+0.0405643
+0.0397039
+0.0389479
+0.0380626
+0.036233
+0.0344275
+0.0326458
+0.0309167
+0.0292495
+0.0276508
+0.0261084
+0.0246415
+0.0232769
+0.0220459
+0.0209386
+0.0199476
+0.0190913
+0.0183747
+0.0177945
+0.0174244
+0.0172507
+0.0173155
+0.0176189
+0.0180484
+0.0185852
+0.0193134
+0.0202099
+0.0212931
+0.0225126
+0.0238659
+0.0251849
+0.0266151
+0.0281236
+0.0296733
+0.0312997
+0.0329915
+0.0346934
+0.0364466
+0.038245
+0.0400824
+0.0419538
+0.0438547
+0.04578
+0.0476421
+0.0494724
+0.0513309
+0.0532147
+0.0551212
+0.0570481
+0.0589858
+0.0609401
+0.0629101
+0.0648942
+0.0668912
+0.0689
+0.0709196
+0.0718411
+0.0725026
+0.0732224
+0.0739473
+0.0747196
+0.0755474
+0.0764292
+0.0773598
+0.0780926
+0.0785748
+0.0791147
+0.0797112
+0.080363
+0.0810297
+0.08161
+0.0822412
+0.0841638
+0.0831877
+0.0822513
+0.0810109
+0.079088
+0.0771793
+0.0752861
+0.0734094
+0.0715505
+0.0697109
+0.0678922
+0.066096
+0.0643243
+0.0625791
+0.0608628
+0.0591777
+0.0575268
+0.0559129
+0.0543394
+0.05281
+0.0513285
+0.0498992
+0.048518
+0.0471948
+0.045938
+0.0447532
+0.0436463
+0.0426233
+0.0416904
+0.0408537
+0.0390803
+0.0371717
+0.0352959
+0.0334584
+0.0316416
+0.0298561
+0.028128
+0.0264667
+0.0248509
+0.0233223
+0.0218756
+0.0205609
+0.0193855
+0.0183167
+0.0173881
+0.0166532
+0.0160125
+0.0155864
+0.0153834
+0.0154452
+0.0157197
+0.0161747
+0.0167496
+0.0175395
+0.0185198
+0.0196626
+0.0209682
+0.0222916
+0.0236939
+0.0251831
+0.0267237
+0.0283501
+0.0300182
+0.0317273
+0.0334925
+0.0353054
+0.0371591
+0.0390476
+0.0409645
+0.0428392
+0.0446514
+0.0464962
+0.0483699
+0.0502692
+0.0521913
+0.054126
+0.0560786
+0.0580482
+0.0600331
+0.0620319
+0.0640432
+0.0660659
+0.0680991
+0.070021
+0.0708767
+0.0715476
+0.0722769
+0.0730112
+0.0737932
+0.0746314
+0.075496
+0.0763925
+0.0769954
+0.0774844
+0.0780319
+0.0786367
+0.0792973
+0.0799451
+0.0805298
+0.0811695
+0.0831213
+0.0821329
+0.0811843
+0.0802842
+0.0794345
+0.0778144
+0.0759381
+0.074079
+0.0722385
+0.0704178
+0.0686178
+0.0668403
+0.0650878
+0.0633625
+0.0616667
+0.0600031
+0.0583742
+0.0567832
+0.0552285
+0.0537174
+0.0522545
+0.050844
+0.0494902
+0.048198
+0.0469725
+0.045819
+0.044743
+0.0437495
+0.042295
+0.0403084
+0.0383384
+0.036391
+0.0344727
+0.0325888
+0.0307456
+0.0289117
+0.0271235
+0.0253841
+0.023695
+0.0220942
+0.0206023
+0.019208
+0.0179234
+0.0167548
+0.0157523
+0.0149932
+0.0143169
+0.0138234
+0.0135807
+0.0136112
+0.0138873
+0.0142899
+0.0149693
+0.0158165
+0.0168976
+0.018105
+0.0194091
+0.0208235
+0.0222693
+0.0237969
+0.0254217
+0.0270717
+0.0287891
+0.0305669
+0.0323954
+0.0342664
+0.0361713
+0.0380607
+0.0398493
+0.0416764
+0.043537
+0.0454271
+0.0473431
+0.0492739
+0.051224
+0.0531929
+0.0551786
+0.0571792
+0.0591932
+0.0612194
+0.0632562
+0.0651654
+0.0670918
+0.0690319
+0.0699675
+0.0706476
+0.0713373
+0.0720822
+0.0728854
+0.0737154
+0.074569
+0.0754765
+0.0759456
+0.0764414
+0.0769963
+0.0776091
+0.0782768
+0.078903
+0.0794954
+0.0801433
+0.082124
+0.0811235
+0.0801629
+0.0792513
+0.0783903
+0.0775792
+0.0766224
+0.0747803
+0.0729575
+0.0711554
+0.0693757
+0.0676202
+0.0658907
+0.0641858
+0.0625077
+0.0608621
+0.0592518
+0.0576797
+0.0561491
+0.0546635
+0.0532266
+0.0518425
+0.0505155
+0.0492502
+0.0480516
+0.0469246
+0.0457838
+0.0437363
+0.0417034
+0.0396873
+0.0376906
+0.0357167
+0.0337693
+0.0318434
+0.0299528
+0.0280599
+0.0262017
+0.0243988
+0.0226555
+0.020975
+0.0193936
+0.0178906
+0.0165353
+0.0152751
+0.0141972
+0.0133195
+0.0126306
+0.0121155
+0.0118005
+0.0118155
+0.012042
+0.0125053
+0.0132583
+0.0141726
+0.0152809
+0.0165195
+0.0179102
+0.0194066
+0.0209139
+0.0225195
+0.0241632
+0.0258881
+0.0276789
+0.0295237
+0.0313951
+0.0332785
+0.035074
+0.0368774
+0.0387207
+0.0405986
+0.0425064
+0.0444319
+0.0463788
+0.0483465
+0.0503326
+0.052335
+0.054352
+0.0563819
+0.0583994
+0.0603167
+0.0622389
+0.0641784
+0.0661264
+0.0680741
+0.069115
+0.0697536
+0.0704488
+0.0712041
+0.0720174
+0.072829
+0.0736928
+0.0745023
+0.0749436
+0.0754459
+0.0760081
+0.0766288
+0.0773011
+0.0779016
+0.0785011
+0.0791454
+0.0811737
+0.0801613
+0.079189
+0.0782661
+0.0773941
+0.0765724
+0.0758035
+0.0750907
+0.0737346
+0.071952
+0.0701925
+0.0684543
+0.0667396
+0.0650535
+0.0633983
+0.0617764
+0.0601906
+0.0586437
+0.057139
+0.0556798
+0.0542698
+0.052913
+0.0516135
+0.0503758
+0.0492046
+0.0474086
+0.0453439
+0.0432756
+0.0412199
+0.0391789
+0.037155
+0.035151
+0.0331704
+0.0312079
+0.0292654
+0.0273362
+0.0254251
+0.0235628
+0.0217613
+0.0199886
+0.0183007
+0.0167008
+0.0152476
+0.0138954
+0.012727
+0.0117555
+0.0110071
+0.0105029
+0.0101418
+0.0100381
+0.0103068
+0.0107952
+0.0115202
+0.0125284
+0.0136671
+0.0150141
+0.0165184
+0.0181021
+0.0196699
+0.0213082
+0.0230385
+0.0248404
+0.026652
+0.028512
+0.0303379
+0.0321084
+0.0339279
+0.0357891
+0.0376858
+0.0396039
+0.041546
+0.0435116
+0.0454978
+0.047502
+0.049522
+0.051556
+0.0535469
+0.0554703
+0.0573938
+0.0593299
+0.0612778
+0.0632291
+0.0651873
+0.0671599
+0.0682615
+0.0689021
+0.0696058
+0.0703707
+0.0711775
+0.0719945
+0.0728683
+0.0735418
+0.0739888
+0.0744976
+0.0750669
+0.0756953
+0.0763758
+0.0769469
+0.0775423
+0.0781945
+0.0802719
+0.0792479
+0.0782644
+0.0773304
+0.0764478
+0.0756158
+0.074837
+0.0741149
+0.073451
+0.0727919
+0.0710481
+0.0693297
+0.0676386
+0.0659768
+0.0643468
+0.0627508
+0.0611917
+0.0596723
+0.0581945
+0.0567625
+0.0553801
+0.0540511
+0.0527765
+0.0512315
+0.0491441
+0.0470662
+0.0449825
+0.042901
+0.0408309
+0.038774
+0.0367206
+0.0346699
+0.0326375
+0.0306269
+0.0286427
+0.0266908
+0.0247789
+0.0228764
+0.0210078
+0.0191622
+0.0173908
+0.015686
+0.0141024
+0.0126599
+0.0113893
+0.010309
+0.00949749
+0.00885276
+0.00840693
+0.00828843
+0.00849511
+0.00905831
+0.00990737
+0.0109099
+0.0121978
+0.0136315
+0.015203
+0.0168843
+0.0185215
+0.0201951
+0.0219599
+0.0237892
+0.0256051
+0.0273851
+0.0291703
+0.0310075
+0.0328881
+0.0347957
+0.0367306
+0.0386928
+0.0406784
+0.042684
+0.044707
+0.0467112
+0.0487036
+0.0506214
+0.0525586
+0.0544903
+0.0564349
+0.0583931
+0.0603492
+0.0623209
+0.0643067
+0.0663055
+0.0674206
+0.0680691
+0.0687813
+0.0695552
+0.0703618
+0.0711882
+0.0720718
+0.0726347
+0.0730873
+0.0736023
+0.0741784
+0.0748143
+0.075488
+0.0760316
+0.0766341
+0.0772939
+0.0793136
+0.0783401
+0.0773907
+0.076446
+0.0755531
+0.0747111
+0.0739228
+0.0731917
+0.0725194
+0.0719075
+0.0713577
+0.0702573
+0.068589
+0.0669509
+0.0653451
+0.0637742
+0.0622407
+0.0607475
+0.0592977
+0.0578945
+0.0565413
+0.0552245
+0.0531133
+0.0510089
+0.0489121
+0.0468119
+0.0447082
+0.0426132
+0.0405284
+0.0384439
+0.0363584
+0.034286
+0.0322293
+0.0301915
+0.0281766
+0.0261899
+0.0242007
+0.0222488
+0.0203456
+0.0184923
+0.0166125
+0.0148184
+0.013145
+0.0116135
+0.0102289
+0.00902417
+0.00810064
+0.00737595
+0.0068054
+0.0066275
+0.0067756
+0.00745574
+0.00835664
+0.00951962
+0.0108617
+0.0123916
+0.0139799
+0.0155852
+0.0173193
+0.0190392
+0.020814
+0.0226607
+0.0244684
+0.0262691
+0.0281252
+0.0300166
+0.0319405
+0.0338969
+0.0358803
+0.0378803
+0.0398571
+0.0418553
+0.0438538
+0.0457832
+0.0477178
+0.0496624
+0.0516026
+0.0535608
+0.0555216
+0.0574919
+0.0594776
+0.0614773
+0.0634654
+0.0654467
+0.0666137
+0.06727
+0.0679906
+0.0687662
+0.0695446
+0.0703806
+0.0712742
+0.071783
+0.0722409
+0.0727619
+0.0733446
+0.0739877
+0.0746191
+0.075169
+0.0757783
+0.0764456
+0.0783707
+0.0773878
+0.0764467
+0.0755475
+0.0747017
+0.0738603
+0.0730629
+0.0723231
+0.0716426
+0.0710232
+0.0704665
+0.069974
+0.0695148
+0.0678946
+0.0663071
+0.0647549
+0.0632405
+0.0617666
+0.0603363
+0.0589528
+0.0572267
+0.0551052
+0.0529841
+0.0508571
+0.0487357
+0.0466207
+0.044513
+0.0424138
+0.0403079
+0.0381983
+0.0360984
+0.0340099
+0.0319352
+0.029877
+0.0278246
+0.0257819
+0.0237657
+0.0217832
+0.0198371
+0.0179456
+0.0160177
+0.0141435
+0.0123736
+0.0107225
+0.00923814
+0.00794339
+0.00690047
+0.00601381
+0.00537589
+0.00509601
+0.00530894
+0.00599386
+0.00707258
+0.00818053
+0.00961754
+0.011067
+0.0126619
+0.0143765
+0.0160807
+0.0178734
+0.0197395
+0.0216022
+0.0234183
+0.0252832
+0.0271891
+0.0291351
+0.0310861
+0.0330337
+0.0350101
+0.0370105
+0.039015
+0.0409593
+0.0428876
+0.0448401
+0.046784
+0.0487389
+0.0507077
+0.0526758
+0.0546609
+0.0566611
+0.0586661
+0.0606459
+0.0626398
+0.0646463
+0.0658698
+0.0665334
+0.0672545
+0.0680026
+0.0687875
+0.0696326
+0.0705357
+0.0709887
+0.0714517
+0.0719784
+0.0725674
+0.0732173
+0.073805
+0.074361
+0.0749768
+0.0756511
+0.0774783
+0.0764838
+0.0755387
+0.0746303
+0.073774
+0.0729734
+0.0722305
+0.071511
+0.0708228
+0.0701961
+0.0696328
+0.0691344
+0.0687022
+0.0683375
+0.067143
+0.0656106
+0.0641164
+0.0626631
+0.0612538
+0.0592848
+0.0571404
+0.0549995
+0.0528628
+0.0507307
+0.0486038
+0.0464828
+0.0443686
+0.0422622
+0.0401391
+0.0380155
+0.0358999
+0.0337939
+0.0316994
+0.02961
+0.0275255
+0.0254589
+0.0234149
+0.0213999
+0.0194155
+0.0174783
+0.0156084
+0.0136714
+0.0118204
+0.0100622
+0.00846993
+0.00701146
+0.00577837
+0.00478099
+0.00407079
+0.00368949
+0.00389107
+0.00463147
+0.00580559
+0.00695926
+0.00827113
+0.00983151
+0.0114496
+0.0131435
+0.0149582
+0.0168624
+0.0187898
+0.0206205
+0.0224949
+0.0243672
+0.0262649
+0.0282051
+0.0301796
+0.0321821
+0.0341747
+0.0361498
+0.038075
+0.0400225
+0.0419839
+0.043934
+0.0459058
+0.0478765
+0.0498601
+0.0518604
+0.0538611
+0.0558603
+0.0578549
+0.0598615
+0.0618807
+0.0639111
+0.0651911
+0.065854
+0.0665481
+0.0672935
+0.0680867
+0.0689404
+0.0698516
+0.0702538
+0.0707216
+0.0712537
+0.0718487
+0.072505
+0.0730476
+0.0736093
+0.0742314
+0.0749124
+0.0766382
+0.0756325
+0.0746766
+0.0737577
+0.0728911
+0.0720808
+0.0713285
+0.0706362
+0.0700056
+0.0694284
+0.0688588
+0.0683547
+0.0679175
+0.0675486
+0.0672431
+0.0665274
+0.0650543
+0.0635577
+0.0614062
+0.0592575
+0.057112
+0.0549701
+0.0528322
+0.0506988
+0.0485705
+0.046448
+0.0443275
+0.0421872
+0.0400523
+0.0379239
+0.0358029
+0.0336909
+0.0315895
+0.0294899
+0.0273971
+0.0253208
+0.0232652
+0.0212365
+0.0192355
+0.0172557
+0.0153081
+0.0133716
+0.0114867
+0.00964328
+0.00787965
+0.00624414
+0.0048475
+0.00375333
+0.00295493
+0.00250768
+0.00266061
+0.00349315
+0.00465132
+0.00570171
+0.00714019
+0.00860072
+0.0102876
+0.012134
+0.0140575
+0.0158761
+0.0177047
+0.0196073
+0.0214787
+0.0234055
+0.0253753
+0.0273786
+0.0293537
+0.0313304
+0.0332874
+0.0352271
+0.0371894
+0.0391523
+0.0411199
+0.0430995
+0.0450804
+0.0470799
+0.0490719
+0.0510706
+0.0530845
+0.0550967
+0.0571162
+0.0591479
+0.0611906
+0.0632404
+0.0645719
+0.065206
+0.0659069
+0.0666456
+0.0674464
+0.0683081
+0.069174
+0.0695801
+0.0700524
+0.0705895
+0.0711901
+0.0718439
+0.0723486
+0.0729157
+0.0735436
+0.0742293
+0.075852
+0.0748357
+0.0738695
+0.0729405
+0.0720641
+0.0712444
+0.0704832
+0.0697825
+0.0691441
+0.0685698
+0.0680577
+0.0676026
+0.0671951
+0.0668196
+0.0664888
+0.0662289
+0.0657602
+0.0636077
+0.0614579
+0.0593111
+0.0571677
+0.0550279
+0.0528923
+0.0507615
+0.0486359
+0.0465009
+0.0443573
+0.0422185
+0.0400853
+0.0379523
+0.0358253
+0.0337065
+0.0315975
+0.0295004
+0.0274071
+0.0253206
+0.0232509
+0.0211834
+0.0191332
+0.0171179
+0.0151512
+0.0131954
+0.0113016
+0.0094926
+0.00757861
+0.0058617
+0.00435472
+0.00300749
+0.00207974
+0.00152783
+0.00165278
+0.00248351
+0.00350725
+0.00466388
+0.00598134
+0.0075709
+0.009368
+0.0112276
+0.0129956
+0.0148558
+0.0167575
+0.0186575
+0.0206153
+0.0226148
+0.0245634
+0.0265401
+0.0285222
+0.0304646
+0.0324154
+0.0343918
+0.0363641
+0.0383496
+0.0403292
+0.0423264
+0.0443066
+0.0463037
+0.0483176
+0.0503463
+0.0523766
+0.0544088
+0.0564474
+0.0584925
+0.0605478
+0.0625857
+0.0639859
+0.0646258
+0.0653198
+0.066064
+0.0668717
+0.0677407
+0.0685489
+0.0689695
+0.0694459
+0.0699877
+0.0705933
+0.0712005
+0.0717097
+0.0722818
+0.0729136
+0.0735942
+0.0751177
+0.074095
+0.0731191
+0.0721806
+0.0712948
+0.0704661
+0.0696964
+0.0689878
+0.068342
+0.0677609
+0.0672462
+0.0667958
+0.0664043
+0.0660831
+0.0657955
+0.0655328
+0.0653426
+0.0636832
+0.061545
+0.0594106
+0.0572805
+0.0551551
+0.0530351
+0.0509118
+0.0487596
+0.046611
+0.0444665
+0.0423267
+0.0401924
+0.0380645
+0.0359442
+0.0338328
+0.0317229
+0.029619
+0.0275286
+0.0254419
+0.0233627
+0.0212969
+0.0192588
+0.0172315
+0.0152389
+0.0132671
+0.0113035
+0.00944034
+0.00765416
+0.00581931
+0.00416981
+0.00268866
+0.00160124
+0.000882612
+0.000873606
+0.00167345
+0.00261684
+0.00354871
+0.0049918
+0.00679154
+0.00850011
+0.0102403
+0.0121029
+0.0139958
+0.0159395
+0.017898
+0.0198259
+0.0217894
+0.0237717
+0.0257518
+0.0276849
+0.0296529
+0.0316503
+0.0336302
+0.0356179
+0.0376022
+0.0395739
+0.0415675
+0.04358
+0.0456089
+0.0476522
+0.0496916
+0.0517254
+0.0537716
+0.0558287
+0.0578741
+0.0599085
+0.0619536
+0.0634702
+0.0641153
+0.0648004
+0.0655505
+0.0663645
+0.06724
+0.0679429
+0.0684235
+0.0689037
+0.0694498
+0.0700601
+0.0706192
+0.0711326
+0.0717076
+0.0723332
+0.0730193
+0.0744334
+0.0734041
+0.0724264
+0.0714797
+0.0705852
+0.0697481
+0.0689704
+0.0682541
+0.0676013
+0.0670138
+0.0664934
+0.0660415
+0.065656
+0.0653311
+0.0650784
+0.0648988
+0.0647084
+0.0637963
+0.061662
+0.0595318
+0.0574062
+0.0552857
+0.0531709
+0.0510507
+0.0489364
+0.0468051
+0.0446699
+0.0425403
+0.0404173
+0.0383019
+0.0361874
+0.0340774
+0.0319779
+0.0298836
+0.0277903
+0.0256937
+0.0236106
+0.0215399
+0.0194954
+0.0174863
+0.0155044
+0.013511
+0.011589
+0.00974957
+0.00789283
+0.00618346
+0.00442051
+0.00292027
+0.00157772
+0.000693047
+0.000361073
+0.00103672
+0.00183635
+0.00292516
+0.00450171
+0.00587292
+0.0075794
+0.00939887
+0.0113198
+0.0132948
+0.0151839
+0.0171156
+0.0190938
+0.0210951
+0.0230247
+0.0249757
+0.0269635
+0.0289702
+0.0309645
+0.0329261
+0.0348869
+0.0368736
+0.0388822
+0.0409095
+0.0429529
+0.0450072
+0.0470395
+0.0490855
+0.0511434
+0.0531964
+0.0552293
+0.0572738
+0.0593288
+0.0612562
+0.0630265
+0.0636625
+0.0643514
+0.0651067
+0.0659261
+0.0665888
+0.0672847
+0.0679438
+0.0684274
+0.0689772
+0.0695917
+0.0701016
+0.070617
+0.0711848
+0.071815
+0.072506
+0.0738001
+0.0727696
+0.0717832
+0.0708379
+0.069937
+0.069092
+0.0683068
+0.0675836
+0.0669243
+0.0663308
+0.0658049
+0.0653482
+0.064961
+0.0646327
+0.0643773
+0.0641956
+0.0640884
+0.0639842
+0.0618564
+0.0597331
+0.0576043
+0.0554803
+0.0533617
+0.0512491
+0.0491434
+0.0470454
+0.0449563
+0.042865
+0.0407517
+0.038639
+0.0365324
+0.03442
+0.032308
+0.0302072
+0.0281202
+0.0260501
+0.023998
+0.0219638
+0.0199628
+0.01796
+0.0159725
+0.0140187
+0.0121389
+0.0102464
+0.00837994
+0.00651791
+0.0047971
+0.00317167
+0.0017134
+0.000733221
+0.000286245
+0.000610187
+0.00154315
+0.00271735
+0.00377628
+0.00520214
+0.00699648
+0.00885793
+0.0107047
+0.0126033
+0.0145249
+0.0165138
+0.0184883
+0.0204026
+0.0223678
+0.0243714
+0.0263577
+0.0283253
+0.030267
+0.0322407
+0.0342408
+0.0362629
+0.0383035
+0.0403559
+0.0424017
+0.0444452
+0.0465021
+0.0485621
+0.0505915
+0.0526339
+0.0546877
+0.0567318
+0.0587335
+0.0605203
+0.0623212
+0.0632813
+0.0639743
+0.064734
+0.065343
+0.0659897
+0.0666919
+0.0674579
+0.0680184
+0.0685715
+0.0691895
+0.0696473
+0.0701546
+0.0707261
+0.0713604
+0.0720557
+0.0732174
+0.0721825
+0.0711872
+0.0702339
+0.0693368
+0.0684979
+0.0677077
+0.066978
+0.0663126
+0.0657136
+0.0651828
+0.0647217
+0.0643308
+0.0639992
+0.0637412
+0.0635578
+0.0634494
+0.0634167
+0.0621075
+0.0599829
+0.0578632
+0.0557491
+0.0536411
+0.05154
+0.0494467
+0.0473621
+0.0452877
+0.0432246
+0.041148
+0.0390312
+0.036923
+0.034825
+0.0327391
+0.0306679
+0.0286144
+0.0265829
+0.0245753
+0.022579
+0.020571
+0.0185984
+0.016641
+0.0146553
+0.0127108
+0.010833
+0.0089636
+0.00705226
+0.00520125
+0.00352852
+0.00205116
+0.000993831
+0.000525146
+0.000702538
+0.001439
+0.00242662
+0.00362426
+0.00501652
+0.00664758
+0.00843258
+0.0102523
+0.0121076
+0.0140503
+0.0160105
+0.017933
+0.0199009
+0.0218268
+0.0237911
+0.0257503
+0.0276993
+0.0296821
+0.0316885
+0.0337141
+0.0357591
+0.0378205
+0.0398668
+0.0419194
+0.0439637
+0.0460079
+0.048037
+0.0500784
+0.052132
+0.0541497
+0.056158
+0.058054
+0.0598489
+0.0616693
+0.0629741
+0.0636704
+0.0641804
+0.0647541
+0.0653961
+0.0661046
+0.0668773
+0.0676778
+0.0682337
+0.0688035
+0.0692477
+0.0697579
+0.0703327
+0.0709705
+0.0716695
+0.0726914
+0.0716501
+0.0706542
+0.0696936
+0.0687894
+0.0679438
+0.067159
+0.0664373
+0.0657684
+0.0651643
+0.064629
+0.0641639
+0.0637696
+0.063435
+0.0631748
+0.0629897
+0.0628804
+0.0628473
+0.0624246
+0.0603112
+0.0582035
+0.0561022
+0.054008
+0.0519218
+0.0498428
+0.0477721
+0.0457126
+0.0436659
+0.0416029
+0.0395105
+0.0374293
+0.0353613
+0.033309
+0.0312755
+0.0292497
+0.0272084
+0.0251884
+0.0231994
+0.0212431
+0.0192008
+0.0171951
+0.0152404
+0.0133082
+0.0113897
+0.00949214
+0.00768589
+0.00588934
+0.00426233
+0.0028094
+0.00170374
+0.000827514
+0.000762605
+0.00146106
+0.00240161
+0.00358187
+0.00504209
+0.00657371
+0.00816335
+0.00992268
+0.0118186
+0.013669
+0.0155777
+0.0174951
+0.0194033
+0.0213658
+0.0233001
+0.0252385
+0.0272152
+0.0292224
+0.0312542
+0.0333062
+0.0353399
+0.0373851
+0.0394303
+0.0414698
+0.0434939
+0.0455282
+0.0475764
+0.0496261
+0.0516244
+0.0536377
+0.055645
+0.0574315
+0.0592452
+0.0610837
+0.0626894
+0.0631247
+0.0636325
+0.064211
+0.0648585
+0.0655728
+0.0663517
+0.067193
+0.0679648
+0.0684691
+0.0689155
+0.0694281
+0.0700056
+0.0706463
+0.0713486
+0.072228
+0.0711799
+0.0701845
+0.0692184
+0.0683079
+0.0674563
+0.0666658
+0.0659386
+0.0652769
+0.0646773
+0.0641452
+0.0636767
+0.0632793
+0.0629421
+0.0626798
+0.0624932
+0.0623831
+0.0623497
+0.0623934
+0.0607159
+0.0586199
+0.0565312
+0.0544504
+0.0523787
+0.050317
+0.0482667
+0.0462018
+0.0441347
+0.0420801
+0.04004
+0.0380166
+0.0360024
+0.0339463
+0.0319081
+0.0298867
+0.0278888
+0.0258899
+0.0238715
+0.0218553
+0.019876
+0.0178846
+0.0159179
+0.0140179
+0.0121567
+0.0103517
+0.00862669
+0.00693887
+0.00531797
+0.00383511
+0.00248595
+0.00133473
+0.00104604
+0.00173657
+0.00262678
+0.00371158
+0.00506715
+0.00666241
+0.00825818
+0.0098465
+0.0115719
+0.0134255
+0.0152726
+0.0171601
+0.0190867
+0.0209778
+0.0229164
+0.0248847
+0.0268873
+0.0288985
+0.0309041
+0.0329334
+0.0349821
+0.0370199
+0.0390368
+0.0410582
+0.0430961
+0.0451483
+0.0471611
+0.0491577
+0.0511702
+0.0531967
+0.0550824
+0.0568866
+0.0587172
+0.0605716
+0.0622055
+0.0626442
+0.0631558
+0.0637387
+0.0643909
+0.0651103
+0.0658947
+0.0667418
+0.0676493
+0.0682035
+0.0686516
+0.0691662
+0.0697459
+0.070389
+0.0710938
+0.0718218
+0.0707744
+0.0697733
+0.0688098
+0.0678938
+0.0670369
+0.0662414
+0.0655095
+0.0648434
+0.0642397
+0.0637054
+0.0632426
+0.0628527
+0.0625222
+0.0622581
+0.0620702
+0.0619593
+0.0619257
+0.0619696
+0.0611842
+0.0591049
+0.0570339
+0.0549722
+0.0529147
+0.0508373
+0.0487699
+0.0467137
+0.0446703
+0.0426415
+0.0406295
+0.038637
+0.0366529
+0.0346297
+0.0326076
+0.0305948
+0.0285873
+0.0265851
+0.0245873
+0.0225791
+0.0206082
+0.0186775
+0.016804
+0.014975
+0.013129
+0.0114056
+0.00975935
+0.00804293
+0.00634886
+0.00474443
+0.00334751
+0.00228651
+0.00174381
+0.00219794
+0.0030072
+0.00394455
+0.0052391
+0.00674042
+0.00829525
+0.00990246
+0.0115622
+0.0132864
+0.015127
+0.0169979
+0.0188661
+0.0207832
+0.0226999
+0.0246505
+0.0266163
+0.0286138
+0.0306378
+0.0326832
+0.0346959
+0.0366977
+0.0387173
+0.0407545
+0.0427845
+0.0447619
+0.0467582
+0.0487713
+0.0507991
+0.0528105
+0.054602
+0.0564216
+0.0582667
+0.0601351
+0.0617955
+0.0622371
+0.0627521
+0.0633387
+0.0639949
+0.0647187
+0.0655078
+0.0663599
+0.0672725
+0.0679959
+0.0684454
+0.0689615
+0.0695429
+0.0701878
+0.0708946
+0.0714692
+0.0704166
+0.0694172
+0.0684636
+0.0675429
+0.0666815
+0.0658817
+0.0651458
+0.064476
+0.0638741
+0.063337
+0.0628714
+0.0624792
+0.0621618
+0.061911
+0.0617221
+0.0616105
+0.0615768
+0.061621
+0.0617268
+0.0596664
+0.0575932
+0.055518
+0.053452
+0.0513964
+0.0493524
+0.0473215
+0.0453055
+0.0433065
+0.0413269
+0.0393697
+0.0373657
+0.0353524
+0.0333334
+0.0313281
+0.0293469
+0.0273395
+0.02536
+0.0234181
+0.0215241
+0.0196644
+0.0178015
+0.0159817
+0.0142665
+0.0126554
+0.0108188
+0.00902497
+0.00735359
+0.00586257
+0.00444534
+0.00332587
+0.0026764
+0.00289937
+0.00361686
+0.00445133
+0.00557405
+0.00692848
+0.00841836
+0.0100738
+0.0117139
+0.0134064
+0.0151148
+0.0169315
+0.0187889
+0.0206479
+0.0225556
+0.0244925
+0.026469
+0.0284768
+0.0305099
+0.0324786
+0.034464
+0.0364726
+0.038501
+0.0404816
+0.0424532
+0.0444453
+0.0464552
+0.0484809
+0.0505023
+0.0523699
+0.0542059
+0.0560384
+0.0578957
+0.0597757
+0.061461
+0.0619049
+0.0624226
+0.0630123
+0.0636719
+0.0643994
+0.0651923
+0.0660484
+0.0669653
+0.0678563
+0.0683067
+0.0688239
+0.0694064
+0.0700526
+0.0707608
+0.0711823
+0.0701254
+0.0691218
+0.0681738
+0.0672577
+0.0663926
+0.0655892
+0.06485
+0.0641771
+0.0635725
+0.0630384
+0.0625748
+0.0621807
+0.0618617
+0.0616191
+0.0614501
+0.0613381
+0.0613042
+0.0613486
+0.061471
+0.0602333
+0.0581698
+0.0561159
+0.0540728
+0.0520417
+0.0500241
+0.0480216
+0.0460363
+0.0440703
+0.0421192
+0.040134
+0.0381139
+0.0361125
+0.0341302
+0.0321413
+0.0301588
+0.028207
+0.0262929
+0.0244201
+0.0225475
+0.0207059
+0.0189118
+0.0172092
+0.0155324
+0.013639
+0.0118337
+0.0101528
+0.00853213
+0.00699294
+0.00570337
+0.00457718
+0.00394654
+0.00396032
+0.00447092
+0.00522548
+0.00625284
+0.00743193
+0.00880494
+0.0104
+0.011997
+0.0136677
+0.0153535
+0.0170254
+0.0187952
+0.020646
+0.0225437
+0.024482
+0.0264597
+0.0284676
+0.0303989
+0.0323632
+0.0343549
+0.0363577
+0.038291
+0.0402506
+0.042233
+0.044235
+0.0462541
+0.0482587
+0.0501444
+0.0519955
+0.0538722
+0.0557387
+0.0576057
+0.0594948
+0.061202
+0.0616478
+0.0621676
+0.0627597
+0.063422
+0.0641522
+0.0649482
+0.0658075
+0.0667238
+0.0676887
+0.0682381
+0.0687558
+0.0693389
+0.0699857
+0.0706946
+0.0709523
+0.0698949
+0.068891
+0.0679425
+0.0670285
+0.0661745
+0.0653689
+0.0646272
+0.0639519
+0.0633452
+0.0628091
+0.0623454
+0.0619558
+0.0616381
+0.0613946
+0.0612285
+0.0611405
+0.061109
+0.0611535
+0.0612763
+0.0608638
+0.0588224
+0.0567922
+0.0547743
+0.0527702
+0.0507815
+0.0488081
+0.0468479
+0.0449091
+0.0429157
+0.0409157
+0.0389361
+0.0369559
+0.0349852
+0.033028
+0.0311021
+0.0292134
+0.0273275
+0.0254761
+0.0236595
+0.0218882
+0.0201579
+0.0184007
+0.0165349
+0.0147586
+0.0130203
+0.0112939
+0.00970131
+0.00828069
+0.00699302
+0.00600189
+0.00538433
+0.00519413
+0.00549225
+0.00617712
+0.00705133
+0.00809963
+0.00941883
+0.0108665
+0.0124239
+0.0140611
+0.0156435
+0.0172874
+0.0190418
+0.0208715
+0.0227416
+0.0246644
+0.0266159
+0.0284978
+0.0304079
+0.0323537
+0.034321
+0.0362331
+0.0381727
+0.0401381
+0.0421258
+0.0441232
+0.0461114
+0.0480157
+0.0498497
+0.0517114
+0.053598
+0.055507
+0.0573979
+0.0592937
+0.0610064
+0.0614537
+0.0619752
+0.0625691
+0.0632333
+0.0639657
+0.064764
+0.0656257
+0.0665445
+0.0675119
+0.0682398
+0.0687575
+0.0693406
+0.0699874
+0.0706962
+0.0707848
+0.069726
+0.0687196
+0.0677687
+0.0668524
+0.065996
+0.0652021
+0.0644714
+0.0637986
+0.063193
+0.0626556
+0.0621908
+0.0618002
+0.0614852
+0.0612469
+0.0610812
+0.060993
+0.0609834
+0.061028
+0.0611511
+0.0613522
+0.0595485
+0.0575439
+0.0555533
+0.0535735
+0.0516084
+0.0496621
+0.047737
+0.0457382
+0.0437574
+0.0417873
+0.0398219
+0.037869
+0.0359354
+0.0340329
+0.0321396
+0.0302655
+0.0284366
+0.0266459
+0.0248818
+0.023136
+0.0213252
+0.0194931
+0.0177088
+0.0158781
+0.0141499
+0.012528
+0.0109765
+0.00962416
+0.00841532
+0.00742675
+0.00676059
+0.00646276
+0.00665266
+0.00723876
+0.00802227
+0.00900412
+0.0102377
+0.0115727
+0.0130167
+0.014575
+0.0161335
+0.0177796
+0.0194897
+0.0212531
+0.0230423
+0.0248857
+0.0267456
+0.028605
+0.0305084
+0.0324218
+0.0343318
+0.0362407
+0.0381799
+0.0401321
+0.0420882
+0.0440579
+0.0459547
+0.0478083
+0.04965
+0.0515189
+0.0534123
+0.0553277
+0.0572628
+0.0591729
+0.0608891
+0.0613372
+0.0618597
+0.0624547
+0.0631201
+0.0638538
+0.0646535
+0.0655167
+0.0664369
+0.0674059
+0.0683118
+0.068829
+0.0694114
+0.0700576
+0.0707657
+0.0706728
+0.0696146
+0.0686101
+0.0676617
+0.0667477
+0.06589
+0.0650947
+0.0643642
+0.0637007
+0.0630984
+0.0625643
+0.062103
+0.0617159
+0.0614035
+0.0611649
+0.0610042
+0.0609218
+0.0609143
+0.0609742
+0.0610974
+0.0612987
+0.0603446
+0.058361
+0.0563924
+0.0544409
+0.0525082
+0.0505753
+0.0485942
+0.0466319
+0.0446656
+0.0427202
+0.0407842
+0.0388722
+0.0369745
+0.035085
+0.0332326
+0.0314237
+0.0296512
+0.0278626
+0.0261353
+0.0242927
+0.0224069
+0.020527
+0.0187149
+0.0169895
+0.0153493
+0.0137963
+0.0123533
+0.0109873
+0.00982486
+0.00889119
+0.00825313
+0.00796368
+0.00798903
+0.0084026
+0.00914606
+0.0100381
+0.0111625
+0.0124547
+0.0138186
+0.0152648
+0.0167803
+0.0183711
+0.0199794
+0.0216627
+0.0234206
+0.0251854
+0.027009
+0.0288258
+0.0306695
+0.0325151
+0.0344013
+0.0363193
+0.0382434
+0.0401717
+0.0420235
+0.0438989
+0.0458023
+0.0477008
+0.0495464
+0.0514191
+0.0533161
+0.0552348
+0.0571423
+0.0584785
+0.0598642
+0.06129
+0.0618217
+0.062417
+0.0630829
+0.063817
+0.0646171
+0.0654808
+0.0664015
+0.067371
+0.068397
+0.06897
+0.0695513
+0.0701962
+0.0709029
+0.0706286
+0.0695698
+0.0685646
+0.0676155
+0.0667148
+0.0658567
+0.065061
+0.0643301
+0.0636663
+0.0630716
+0.0625441
+0.0620826
+0.0616954
+0.0613829
+0.0611443
+0.0609834
+0.0609011
+0.0608974
+0.0609725
+0.061118
+0.0613235
+0.0611946
+0.0592393
+0.0573009
+0.0553814
+0.0534422
+0.0514782
+0.0495201
+0.0475715
+0.0456431
+0.0437246
+0.0418241
+0.0399237
+0.0380546
+0.0362216
+0.0344303
+0.0326376
+0.0308666
+0.0290997
+0.0271621
+0.0252609
+0.0234053
+0.0216124
+0.0198867
+0.0182445
+0.0166934
+0.0151586
+0.0137157
+0.0124542
+0.0113864
+0.0104951
+0.00987166
+0.00947822
+0.00940172
+0.00972438
+0.0103441
+0.0112212
+0.012228
+0.0134039
+0.0146963
+0.016066
+0.0175357
+0.0190502
+0.0206087
+0.0222501
+0.0238976
+0.0256216
+0.0273468
+0.0291161
+0.0308993
+0.032732
+0.0346063
+0.0365027
+0.0383157
+0.0401253
+0.0419712
+0.0438489
+0.0457544
+0.0476844
+0.0495396
+0.0514126
+0.0532147
+0.0544727
+0.0557884
+0.0571488
+0.0585501
+0.0599987
+0.0614912
+0.0624562
+0.0631217
+0.0638554
+0.064655
+0.0655181
+0.0664384
+0.0674074
+0.0684328
+0.0691801
+0.0697596
+0.0704026
+0.0711073
+0.0706465
+0.0695883
+0.0685834
+0.0676345
+0.0667441
+0.0658962
+0.065101
+0.0643706
+0.0637072
+0.0631129
+0.0625896
+0.0621388
+0.0617527
+0.0614404
+0.061202
+0.0610414
+0.0609591
+0.0609554
+0.0610305
+0.0611758
+0.0613971
+0.0616954
+0.0601845
+0.0582776
+0.0563336
+0.0543825
+0.0524314
+0.0504948
+0.0485764
+0.046682
+0.0447755
+0.042894
+0.0410432
+0.0392275
+0.0374445
+0.0356431
+0.0338845
+0.031949
+0.0300355
+0.0281623
+0.0263334
+0.0245585
+0.0228365
+0.0211941
+0.0196236
+0.0180541
+0.0165726
+0.0152366
+0.0140515
+0.0129799
+0.0120763
+0.0114024
+0.0110153
+0.0108999
+0.011102
+0.0116229
+0.0124012
+0.0133771
+0.0145312
+0.0156515
+0.0169335
+0.0183441
+0.019768
+0.0213039
+0.0228823
+0.0245354
+0.0261301
+0.0277861
+0.029495
+0.0312544
+0.0330386
+0.0348691
+0.0366191
+0.0383837
+0.0401902
+0.0420332
+0.0439082
+0.0458113
+0.047739
+0.0494606
+0.0506224
+0.0518507
+0.0531366
+0.054465
+0.0558477
+0.0572808
+0.0587607
+0.0602838
+0.0618414
+0.0631928
+0.0639402
+0.0647531
+0.0656286
+0.0665474
+0.0675148
+0.0685386
+0.0694587
+0.070036
+0.0706764
+0.0713784
+0.0707063
+0.069662
+0.0686642
+0.0677165
+0.0668272
+0.0659986
+0.0652146
+0.0644855
+0.0638233
+0.0632301
+0.0627078
+0.0622583
+0.0618831
+0.0615749
+0.061337
+0.0611767
+0.0610946
+0.061091
+0.0611659
+0.0613119
+0.0615326
+0.0618303
+0.0611859
+0.0592459
+0.0572963
+0.055354
+0.0534304
+0.0515282
+0.0496364
+0.0477455
+0.0458812
+0.044047
+0.0422468
+0.0404488
+0.0386632
+0.0367654
+0.0348409
+0.0329496
+0.0310977
+0.0292925
+0.0275231
+0.0258121
+0.0241674
+0.0224888
+0.0209052
+0.0194176
+0.0180649
+0.0167411
+0.0155354
+0.0144741
+0.013607
+0.0129549
+0.0125314
+0.0123515
+0.0124705
+0.0128472
+0.0135689
+0.0144797
+0.0155498
+0.0166392
+0.0178753
+0.0191899
+0.0205292
+0.0219965
+0.0235395
+0.0250817
+0.0266569
+0.0282997
+0.0299611
+0.0316668
+0.0333998
+0.0351056
+0.0368208
+0.0385761
+0.040374
+0.042209
+0.0440766
+0.0458994
+0.0469618
+0.0480899
+0.049284
+0.0505247
+0.0518274
+0.0531884
+0.0546034
+0.0560684
+0.0575794
+0.059133
+0.0607201
+0.0623398
+0.0639107
+0.064724
+0.0656004
+0.0665373
+0.0675324
+0.0685768
+0.0696673
+0.0703794
+0.0710168
+0.0717154
+0.0708262
+0.0697837
+0.0687952
+0.067863
+0.0669819
+0.0661552
+0.0653916
+0.0646745
+0.0640142
+0.0634228
+0.0629021
+0.062454
+0.06208
+0.0617801
+0.0615431
+0.0613833
+0.0613015
+0.0612978
+0.0613725
+0.061525
+0.0617457
+0.0620423
+0.0621647
+0.0602196
+0.0582919
+0.0563835
+0.0544963
+0.0526057
+0.0507308
+0.0488822
+0.047063
+0.0452744
+0.0434662
+0.0416009
+0.039669
+0.0377654
+0.0358946
+0.0340619
+0.0322724
+0.0305132
+0.0288131
+0.0270835
+0.0254087
+0.0238177
+0.0223065
+0.0208024
+0.019403
+0.0181366
+0.0170231
+0.0160276
+0.0151746
+0.0144675
+0.0140328
+0.0138261
+0.0138964
+0.0142187
+0.0148002
+0.0156349
+0.0166124
+0.0176371
+0.0188377
+0.0200578
+0.0213335
+0.022746
+0.0242018
+0.0257029
+0.0272483
+0.0288134
+0.0304419
+0.0321139
+0.0337427
+0.035432
+0.0371507
+0.0388911
+0.0406751
+0.0424457
+0.0434571
+0.044527
+0.0456213
+0.0467658
+0.0479706
+0.0492434
+0.0505791
+0.0519728
+0.0534201
+0.0549166
+0.0564585
+0.0580421
+0.0596583
+0.061306
+0.0629868
+0.0646982
+0.0656315
+0.0665681
+0.0675627
+0.0686059
+0.0696959
+0.070789
+0.0714227
+0.0721174
+0.0710136
+0.0699739
+0.0689881
+0.0680585
+0.0671876
+0.0663775
+0.0656228
+0.064924
+0.0642669
+0.0636778
+0.0631592
+0.062713
+0.0623405
+0.0620432
+0.0618222
+0.0616671
+0.0615856
+0.061582
+0.0616563
+0.0618082
+0.0620354
+0.0623307
+0.0627011
+0.0612456
+0.0593513
+0.0574724
+0.055589
+0.0537289
+0.0518946
+0.050089
+0.0482883
+0.0464258
+0.0445126
+0.0426001
+0.0407157
+0.0388633
+0.037048
+0.0352663
+0.0335225
+0.0317609
+0.030036
+0.0283664
+0.0267598
+0.025156
+0.023616
+0.0221778
+0.0208596
+0.0196743
+0.0185728
+0.0176227
+0.0167235
+0.0160565
+0.0156136
+0.0153654
+0.0153687
+0.0156445
+0.0161616
+0.0168547
+0.0177255
+0.0187498
+0.019862
+0.0210681
+0.0222838
+0.0236157
+0.0249817
+0.0264375
+0.0279184
+0.0294476
+0.0310283
+0.0326179
+0.0342226
+0.0358894
+0.0376056
+0.0391222
+0.0399778
+0.040933
+0.0419808
+0.0431146
+0.0443201
+0.0454842
+0.046722
+0.0480279
+0.0493965
+0.0508227
+0.0523018
+0.0538294
+0.0554015
+0.0570145
+0.0586591
+0.0603341
+0.0620412
+0.0637779
+0.0655419
+0.06667
+0.0676631
+0.0687048
+0.0697933
+0.0709327
+0.0718931
+0.0725833
+0.0712679
+0.0702319
+0.0692498
+0.0683238
+0.0674563
+0.0666495
+0.0659057
+0.0652022
+0.0645617
+0.0639898
+0.0634743
+0.0630302
+0.0626596
+0.0623639
+0.062144
+0.0620007
+0.0619347
+0.0619424
+0.0620162
+0.0621672
+0.0623948
+0.0626943
+0.0630626
+0.0623318
+0.0604537
+0.0585842
+0.0567377
+0.0549166
+0.0531233
+0.0512562
+0.049367
+0.0474479
+0.0455533
+0.0436864
+0.0418509
+0.0400511
+0.0382759
+0.0364863
+0.0347217
+0.0330081
+0.0313225
+0.0296418
+0.0280317
+0.0264932
+0.0250287
+0.0236691
+0.0224093
+0.0212279
+0.0201556
+0.0191636
+0.0183267
+0.0176814
+0.0172058
+0.016942
+0.0169332
+0.0171371
+0.0175304
+0.0181384
+0.0189477
+0.0199103
+0.0209701
+0.0221264
+0.0233168
+0.0245641
+0.0258801
+0.0272652
+0.0286922
+0.0301667
+0.031678
+0.0332473
+0.034834
+0.0361373
+0.0368144
+0.0376024
+0.0384928
+0.0394839
+0.0405692
+0.0417414
+0.0429932
+0.0442739
+0.0455447
+0.0468834
+0.0482844
+0.0497425
+0.0512527
+0.0528107
+0.0544123
+0.0560471
+0.0577158
+0.0594185
+0.0611522
+0.0629144
+0.0647028
+0.0665153
+0.0678342
+0.0688733
+0.0699591
+0.0710959
+0.0722812
+0.0730039
+0.0715883
+0.0705571
+0.0695795
+0.068658
+0.0677947
+0.066992
+0.066252
+0.0655524
+0.0649154
+0.0643466
+0.063848
+0.0634212
+0.0630533
+0.0627594
+0.0625409
+0.0623986
+0.062333
+0.0623443
+0.0624326
+0.0625974
+0.062827
+0.0631283
+0.0634976
+0.0634461
+0.0615896
+0.0597557
+0.0579465
+0.0560983
+0.0542243
+0.0523051
+0.0504027
+0.0485245
+0.0466736
+0.0448534
+0.0430618
+0.0412501
+0.0394497
+0.0376898
+0.0359607
+0.0342409
+0.0325635
+0.0309503
+0.0294094
+0.0279266
+0.0265412
+0.0252024
+0.0239669
+0.0228048
+0.0217105
+0.0207565
+0.0199458
+0.0192916
+0.0188371
+0.0185837
+0.0185236
+0.0186416
+0.0189641
+0.0195196
+0.0202542
+0.0211183
+0.0221159
+0.0232352
+0.0244037
+0.0256603
+0.0268901
+0.0281685
+0.0295243
+0.0309758
+0.0324507
+0.0335517
+0.0340127
+0.0346065
+0.0353128
+0.0361335
+0.0370656
+0.0381011
+0.0392283
+0.0404393
+0.0417303
+0.043094
+0.0444441
+0.045815
+0.0472477
+0.0487368
+0.0502773
+0.0518605
+0.0534804
+0.0551398
+0.0568351
+0.0585634
+0.0603217
+0.0621075
+0.0639185
+0.0657526
+0.067608
+0.0691108
+0.070193
+0.0713261
+0.0725076
+0.0731752
+0.0719719
+0.0709479
+0.0699763
+0.06906
+0.0682019
+0.067404
+0.0666686
+0.0659736
+0.0653406
+0.0647756
+0.0642803
+0.0638564
+0.0635052
+0.0632281
+0.0630115
+0.0628703
+0.0628051
+0.0628164
+0.062904
+0.0630676
+0.0633067
+0.0636154
+0.063988
+0.064433
+0.0627814
+0.0609495
+0.0590669
+0.0571623
+0.0552571
+0.0533737
+0.0515107
+0.0496745
+0.0478668
+0.0460125
+0.044189
+0.0423993
+0.0406426
+0.0389107
+0.0371884
+0.0355151
+0.0339008
+0.0323504
+0.0308529
+0.0294365
+0.0280526
+0.0267508
+0.0255294
+0.0243492
+0.0232986
+0.0223853
+0.0216023
+0.0209865
+0.020531
+0.0202302
+0.0201027
+0.0201779
+0.020466
+0.020942
+0.0215735
+0.0223498
+0.0232889
+0.0243592
+0.0255517
+0.0267337
+0.0279004
+0.0291356
+0.0304484
+0.0314734
+0.031692
+0.0320469
+0.0325293
+0.0331497
+0.0338863
+0.0347407
+0.0357092
+0.0367829
+0.0379497
+0.0392003
+0.0405307
+0.0419334
+0.0433945
+0.044812
+0.0462758
+0.0477952
+0.0493651
+0.0509728
+0.05262
+0.0543057
+0.0560263
+0.0577788
+0.0595602
+0.0613682
+0.0632004
+0.0650548
+0.0669294
+0.0688047
+0.0704617
+0.0716213
+0.072578
+0.0730206
+0.0724091
+0.0713901
+0.0704241
+0.0695137
+0.0686613
+0.0678688
+0.0671385
+0.0664643
+0.0658361
+0.0652754
+0.0647839
+0.0643633
+0.0640149
+0.06374
+0.0635394
+0.0634076
+0.063343
+0.0633542
+0.063441
+0.0636033
+0.0638403
+0.0641512
+0.0645225
+0.0649638
+0.063918
+0.0620062
+0.0600949
+0.0582032
+0.0563333
+0.0544872
+0.0526675
+0.0508009
+0.0489596
+0.0471439
+0.0453581
+0.0436093
+0.0418657
+0.0401551
+0.0384897
+0.0368755
+0.0353179
+0.0338097
+0.0323491
+0.0309267
+0.0295972
+0.0283021
+0.0270736
+0.0259484
+0.0249568
+0.024076
+0.0233148
+0.022676
+0.0222089
+0.0218675
+0.0217213
+0.0217712
+0.0219762
+0.0223766
+0.022964
+0.023686
+0.0245741
+0.0255971
+0.0267427
+0.027916
+0.0290376
+0.0300105
+0.0299207
+0.029991
+0.0302203
+0.030601
+0.0311058
+0.0317541
+0.0325371
+0.0334336
+0.0344389
+0.0355509
+0.0367569
+0.0380466
+0.039416
+0.0408571
+0.0423553
+0.0438911
+0.0453846
+0.0469329
+0.0485307
+0.0501651
+0.051838
+0.0535483
+0.0552925
+0.0570675
+0.0588705
+0.060699
+0.0625508
+0.0644239
+0.0662488
+0.0678414
+0.0694667
+0.0711222
+0.0724839
+0.0729243
+0.0729057
+0.0718934
+0.0709343
+0.0700305
+0.0691844
+0.068398
+0.0676734
+0.0670126
+0.0663975
+0.0658416
+0.0653544
+0.0649375
+0.0645922
+0.0643197
+0.064121
+0.0639967
+0.0639434
+0.0639545
+0.0640405
+0.0642013
+0.0644361
+0.0647443
+0.0651246
+0.0655635
+0.0649418
+0.0630433
+0.0611644
+0.0593068
+0.0574728
+0.0556084
+0.0537514
+0.051916
+0.0501087
+0.0483333
+0.0465848
+0.0448401
+0.0431361
+0.0414779
+0.039869
+0.038306
+0.036759
+0.0352589
+0.0338343
+0.0324513
+0.0311153
+0.0298518
+0.0286881
+0.0275979
+0.0266406
+0.02575
+0.0249927
+0.024374
+0.0238797
+0.0235228
+0.023359
+0.023363
+0.023537
+0.0239113
+0.0244479
+0.0251333
+0.0259716
+0.0269422
+0.0280342
+0.0291575
+0.0288235
+0.0285948
+0.0285085
+0.0285823
+0.0288228
+0.0292261
+0.0297691
+0.0304458
+0.0312617
+0.0321989
+0.033249
+0.0344068
+0.0356588
+0.0369869
+0.0383941
+0.0398721
+0.041406
+0.0429905
+0.0445834
+0.0461585
+0.0477822
+0.0494413
+0.051138
+0.0528709
+0.0546367
+0.0564324
+0.058255
+0.0601023
+0.0619719
+0.0636813
+0.065263
+0.0668792
+0.0685272
+0.0702049
+0.0719102
+0.0728882
+0.073464
+0.0724595
+0.0715079
+0.0706116
+0.0697725
+0.0689928
+0.0682745
+0.0676107
+0.0670071
+0.0664637
+0.0659811
+0.0655682
+0.0652263
+0.0649565
+0.0647597
+0.0646366
+0.0645876
+0.0646129
+0.0647087
+0.0648678
+0.0651002
+0.0654052
+0.0657818
+0.0662287
+0.0660054
+0.0641384
+0.0622925
+0.06043
+0.058559
+0.0567096
+0.0548854
+0.0530888
+0.0513229
+0.0495664
+0.0478302
+0.0461326
+0.0444782
+0.042865
+0.0412564
+0.0396922
+0.0381817
+0.0367319
+0.0352937
+0.033931
+0.0326476
+0.0314452
+0.0303201
+0.0292837
+0.0282902
+0.0274359
+0.0267056
+0.0260672
+0.0255534
+0.0252047
+0.025022
+0.0250257
+0.0251883
+0.0255309
+0.0260255
+0.0266589
+0.0274507
+0.0283626
+0.0284779
+0.0279075
+0.0274976
+0.0272581
+0.0271864
+0.0272638
+0.0275159
+0.027938
+0.0285226
+0.0292433
+0.0300918
+0.0310644
+0.0321516
+0.0333474
+0.0346406
+0.0360202
+0.0374639
+0.0389772
+0.0405524
+0.0421695
+0.043836
+0.0454765
+0.0471237
+0.0488053
+0.0505233
+0.0522766
+0.0540618
+0.0558759
+0.0577162
+0.0595801
+0.0611629
+0.0627317
+0.0643368
+0.0659756
+0.0676456
+0.0693447
+0.0710706
+0.0728216
+0.0740829
+0.0730868
+0.0721436
+0.0712552
+0.0704238
+0.0696514
+0.0689356
+0.0682735
+0.0676758
+0.0671442
+0.066674
+0.0662654
+0.0659271
+0.0656601
+0.0654655
+0.0653437
+0.0652952
+0.0653203
+0.0654187
+0.0655886
+0.0658187
+0.0661204
+0.0664928
+0.066935
+0.0671237
+0.0652612
+0.0633802
+0.0615198
+0.0596817
+0.0578683
+0.0560817
+0.0543233
+0.0525615
+0.0508332
+0.0491417
+0.0474842
+0.0458283
+0.0442189
+0.0426487
+0.0411196
+0.0396174
+0.038176
+0.0367895
+0.0354843
+0.034251
+0.0330701
+0.0319453
+0.0309323
+0.0299896
+0.0291461
+0.0284033
+0.0277818
+0.0272783
+0.026932
+0.0267611
+0.0267472
+0.0268994
+0.0272032
+0.0276679
+0.0282704
+0.0289431
+0.0280464
+0.0272966
+0.0267018
+0.026273
+0.0260223
+0.0259547
+0.0260446
+0.0263084
+0.0267496
+0.0273596
+0.0281259
+0.029026
+0.0300409
+0.0311697
+0.0324018
+0.0337313
+0.0351465
+0.0366247
+0.0381713
+0.0397784
+0.041439
+0.0431404
+0.0448798
+0.0465591
+0.0482604
+0.0499971
+0.0517682
+0.0535679
+0.0553938
+0.0571886
+0.0587001
+0.0602533
+0.0618451
+0.0634726
+0.0651332
+0.0668243
+0.0685437
+0.0702893
+0.0720592
+0.0747608
+0.0737739
+0.0728396
+0.0719598
+0.0711366
+0.070372
+0.0696547
+0.0689994
+0.068408
+0.0678823
+0.0674236
+0.067027
+0.0666925
+0.0664286
+0.0662362
+0.0661159
+0.066068
+0.0660927
+0.06619
+0.0663595
+0.0665995
+0.0668981
+0.0672663
+0.0677034
+0.0682081
+0.0663429
+0.0644935
+0.0626661
+0.0608627
+0.0590854
+0.057321
+0.055568
+0.053847
+0.0521544
+0.0504615
+0.0488083
+0.0471989
+0.0456115
+0.0440446
+0.0425328
+0.0410823
+0.039684
+0.0383522
+0.0370644
+0.0358139
+0.0346501
+0.0335802
+0.0325947
+0.0316832
+0.0308473
+0.0301373
+0.0295299
+0.0290455
+0.0287205
+0.0285576
+0.0285324
+0.0286688
+0.028941
+0.0293467
+0.0289805
+0.0279394
+0.0270211
+0.026234
+0.0256105
+0.0251628
+0.0249005
+0.0248295
+0.024942
+0.0252173
+0.0256773
+0.0263122
+0.0271068
+0.0280498
+0.0291182
+0.0302888
+0.0315682
+0.0329425
+0.0343904
+0.0358997
+0.0374762
+0.0391119
+0.0407997
+0.0425266
+0.0442945
+0.0460919
+0.0478026
+0.0495505
+0.0513323
+0.0531448
+0.0548099
+0.0563
+0.0578347
+0.0594105
+0.0610243
+0.0626732
+0.0643544
+0.0660654
+0.067804
+0.0695682
+0.0713561
+0.0754926
+0.0745154
+0.0735904
+0.0727197
+0.0719053
+0.0711441
+0.0704346
+0.0697866
+0.069202
+0.0686823
+0.068229
+0.0678434
+0.0675204
+0.0672598
+0.0670697
+0.0669509
+0.0669036
+0.066928
+0.0670241
+0.0671914
+0.0674296
+0.0677371
+0.0681015
+0.0685332
+0.0690319
+0.0674784
+0.065661
+0.063867
+0.0620984
+0.0603289
+0.0585839
+0.056863
+0.0551407
+0.0534526
+0.0518005
+0.0501712
+0.0485624
+0.0469918
+0.0454724
+0.0440097
+0.0426072
+0.0412396
+0.0398896
+0.0386063
+0.0374048
+0.0362843
+0.0352426
+0.0342776
+0.0333995
+0.032598
+0.0319121
+0.0313115
+0.0308551
+0.0305493
+0.0303785
+0.030355
+0.0304601
+0.0306373
+0.0293289
+0.0281305
+0.0270566
+0.0261075
+0.0252918
+0.0246444
+0.0241789
+0.0239058
+0.0238318
+0.0239587
+0.0242753
+0.0247527
+0.02541
+0.0262314
+0.0272048
+0.0283145
+0.0295334
+0.0308442
+0.0322506
+0.0337367
+0.0352764
+0.036882
+0.0385452
+0.0402571
+0.0420131
+0.0438067
+0.0456302
+0.0474292
+0.0491904
+0.0509848
+0.0525042
+0.053971
+0.0554837
+0.0570403
+0.0586375
+0.0602721
+0.0619409
+0.0636414
+0.0653712
+0.0671278
+0.0689093
+0.0707138
+0.0762757
+0.0753087
+0.0743936
+0.0735324
+0.072727
+0.0719745
+0.0712733
+0.070633
+0.0700554
+0.0695421
+0.0690944
+0.0687137
+0.0684011
+0.0681512
+0.0679636
+0.0678463
+0.0677997
+0.0678238
+0.0679186
+0.0680837
+0.0683188
+0.068623
+0.0689951
+0.0694223
+0.0693221
+0.0675666
+0.0658371
+0.0641315
+0.0624542
+0.0608096
+0.0592004
+0.0576295
+0.0561002
+0.054616
+0.0531434
+0.0515306
+0.0499572
+0.0484211
+0.0469194
+0.0454737
+0.0440831
+0.0427526
+0.0414422
+0.0402083
+0.0390372
+0.0379464
+0.0369347
+0.0360151
+0.0351506
+0.0343818
+0.0337101
+0.0331421
+0.0327087
+0.032392
+0.0322214
+0.0321826
+0.0314023
+0.0299674
+0.0286283
+0.0273993
+0.0262955
+0.0253255
+0.0244923
+0.023832
+0.023358
+0.0230752
+0.0229985
+0.0231255
+0.0234415
+0.0239544
+0.024636
+0.025486
+0.0264904
+0.0276322
+0.0288953
+0.0302532
+0.031694
+0.0332077
+0.0347734
+0.0364011
+0.0380854
+0.039817
+0.0415916
+0.0434043
+0.0452465
+0.0471118
+0.0488984
+0.0502817
+0.0517208
+0.0532092
+0.0547429
+0.0563201
+0.0579371
+0.0595909
+0.0612783
+0.0629967
+0.0647436
+0.0665168
+0.0683143
+0.0701341
+0.0770088
+0.0761567
+0.0752519
+0.0744007
+0.0736048
+0.0728614
+0.0721687
+0.0715365
+0.0709663
+0.0704596
+0.0700178
+0.0696421
+0.0693337
+0.0690934
+0.0689156
+0.0687999
+0.0687539
+0.0687777
+0.0688712
+0.0690341
+0.0692659
+0.069566
+0.0699334
+0.0703605
+0.0690428
+0.067274
+0.0655307
+0.063815
+0.0621292
+0.0604758
+0.0588574
+0.0572771
+0.0557382
+0.054244
+0.0527985
+0.0514058
+0.0500682
+0.0487898
+0.0475779
+0.0464378
+0.0453749
+0.044305
+0.0430299
+0.0418284
+0.0406945
+0.0396493
+0.0386768
+0.0377833
+0.0369396
+0.0361967
+0.0355335
+0.0349951
+0.0345662
+0.0342667
+0.0340559
+0.032443
+0.0309013
+0.029442
+0.028078
+0.0268237
+0.0256952
+0.0247017
+0.0238467
+0.0231679
+0.0226813
+0.0223903
+0.0223113
+0.0224406
+0.0227661
+0.0232939
+0.0240107
+0.0249002
+0.0259304
+0.0270959
+0.0283829
+0.0297642
+0.0312319
+0.0327804
+0.0343916
+0.0360472
+0.0377472
+0.0394937
+0.0412822
+0.0431079
+0.0449623
+0.0468124
+0.048156
+0.04956
+0.0510195
+0.0525278
+0.0540808
+0.0556767
+0.0573119
+0.0589832
+0.0606875
+0.0624222
+0.0641848
+0.065973
+0.0677849
+0.0696185
+0.0775297
+0.0770577
+0.0761636
+0.0753227
+0.0745366
+0.0738002
+0.0731165
+0.0724925
+0.0719299
+0.07143
+0.0709943
+0.0706238
+0.0703197
+0.0700827
+0.06991
+0.069796
+0.0697507
+0.0697741
+0.0698662
+0.0700268
+0.0702554
+0.0705512
+0.0709136
+0.0706168
+0.0688187
+0.067044
+0.0652946
+0.0635725
+0.0618801
+0.0602198
+0.0585944
+0.0570068
+0.0554604
+0.0539585
+0.0525052
+0.0511044
+0.0497588
+0.0484722
+0.0472522
+0.046104
+0.0450333
+0.0440455
+0.0431464
+0.0423417
+0.0416366
+0.0410199
+0.0404523
+0.0395746
+0.0387611
+0.0380165
+0.0373857
+0.0368727
+0.0364608
+0.0354267
+0.0337371
+0.0321082
+0.0305496
+0.0290727
+0.0276904
+0.0264178
+0.0252712
+0.0242603
+0.0233892
+0.0226967
+0.0221997
+0.021904
+0.0218232
+0.0219538
+0.0222864
+0.0228253
+0.0235564
+0.0244624
+0.0255161
+0.0266997
+0.0280049
+0.0294155
+0.0309141
+0.0324777
+0.0341105
+0.0358029
+0.0375312
+0.0392901
+0.0410875
+0.0429214
+0.0447835
+0.0461405
+0.0475031
+0.0489258
+0.0504036
+0.0519277
+0.0534982
+0.055111
+0.0567625
+0.0584494
+0.0601689
+0.0619181
+0.0636946
+0.0654962
+0.0673209
+0.0691669
+0.0780848
+0.0777875
+0.0771268
+0.0762964
+0.0755206
+0.0747908
+0.0741162
+0.0735007
+0.0729458
+0.072453
+0.0720234
+0.0716583
+0.0713585
+0.0711251
+0.0709581
+0.0708458
+0.0708011
+0.0708242
+0.070915
+0.0710732
+0.0712984
+0.07159
+0.0719471
+0.0704658
+0.0686638
+0.066885
+0.0651313
+0.0634048
+0.0617078
+0.0600428
+0.0584124
+0.0568198
+0.0552681
+0.0537609
+0.052302
+0.0508957
+0.0495443
+0.048252
+0.0470263
+0.0458725
+0.0447962
+0.0438031
+0.042899
+0.0420895
+0.0413801
+0.0407596
+0.0402484
+0.0398513
+0.0395716
+0.0394119
+0.0392727
+0.0387784
+0.0370066
+0.0352567
+0.0335586
+0.0319206
+0.0303524
+0.0288654
+0.0274727
+0.0261894
+0.0250324
+0.0240114
+0.0231309
+0.0224305
+0.0219275
+0.0216296
+0.0215478
+0.0216785
+0.0220152
+0.0225606
+0.0233
+0.0242156
+0.0252796
+0.0264738
+0.0277896
+0.0292106
+0.0307222
+0.0323117
+0.0339613
+0.0356608
+0.0374114
+0.0391994
+0.041009
+0.0428463
+0.0442503
+0.0455641
+0.0469407
+0.0483756
+0.0498654
+0.0514055
+0.0529915
+0.0546192
+0.0562851
+0.057986
+0.0597188
+0.0614808
+0.0632696
+0.065083
+0.066919
+0.0687757
+0.078697
+0.078402
+0.0781395
+0.0773201
+0.0765539
+0.0758317
+0.0751664
+0.0745596
+0.0740127
+0.073527
+0.0731037
+0.072744
+0.0724488
+0.0722189
+0.0720548
+0.071947
+0.071903
+0.0719257
+0.0720151
+0.0721709
+0.0723927
+0.0726799
+0.0722084
+0.0703828
+0.0685786
+0.0667976
+0.0650415
+0.0633126
+0.061613
+0.0599453
+0.0583122
+0.0567168
+0.0551622
+0.053652
+0.0521901
+0.0507807
+0.0494262
+0.0481307
+0.0469018
+0.0457449
+0.0446655
+0.0436694
+0.0427624
+0.0419504
+0.0412385
+0.0406158
+0.0401028
+0.0397043
+0.0394235
+0.0392632
+0.0392248
+0.038766
+0.0369739
+0.0352224
+0.0335226
+0.0318828
+0.0303126
+0.0288235
+0.0274287
+0.0261433
+0.0249841
+0.0239607
+0.0230775
+0.0223745
+0.0218688
+0.0215729
+0.0214909
+0.0216224
+0.0219603
+0.022507
+0.0232481
+0.0241657
+0.0252318
+0.0264281
+0.0277461
+0.0291692
+0.0306829
+0.0322743
+0.0339327
+0.0356464
+0.0373978
+0.0391935
+0.0410275
+0.0425011
+0.0437529
+0.0450765
+0.0464657
+0.0479149
+0.0494186
+0.0509722
+0.0525712
+0.0542116
+0.0558897
+0.0576022
+0.0593462
+0.061119
+0.0629181
+0.0647413
+0.0665867
+0.0684524
+0.0793649
+0.0790724
+0.0788398
+0.0783915
+0.077633
+0.076921
+0.0762652
+0.0756672
+0.0751283
+0.0746499
+0.074233
+0.0738788
+0.0735881
+0.0733618
+0.0732003
+0.0730973
+0.073054
+0.0730763
+0.0731643
+0.0733177
+0.073536
+0.0738187
+0.0721939
+0.0703679
+0.0685633
+0.0667819
+0.0650254
+0.063296
+0.061596
+0.0599278
+0.0582943
+0.0566983
+0.0551432
+0.0536325
+0.05217
+0.05076
+0.049405
+0.0481089
+0.0468795
+0.045722
+0.044642
+0.0436454
+0.0427379
+0.0419254
+0.0412131
+0.04059
+0.0400767
+0.0396778
+0.0393969
+0.0392365
+0.0391981
+0.038858
+0.0370672
+0.0353204
+0.0336255
+0.0319909
+0.0304263
+0.0289431
+0.0275543
+0.0262751
+0.0251136
+0.0240732
+0.0231935
+0.0224935
+0.0219903
+0.021695
+0.0216134
+0.0217476
+0.0220913
+0.0226427
+0.0233871
+0.0243068
+0.0253737
+0.0265637
+0.0278752
+0.0292921
+0.0307997
+0.0323854
+0.0340383
+0.035747
+0.0374937
+0.039285
+0.0408737
+0.0420819
+0.0433538
+0.0446892
+0.0460901
+0.0475507
+0.0490656
+0.0506301
+0.0522395
+0.05389
+0.0555778
+0.0572997
+0.0590526
+0.0608339
+0.0626412
+0.0644722
+0.0663251
+0.068198
+0.0800872
+0.0797974
+0.0795669
+0.0793961
+0.0787583
+0.0780565
+0.0774103
+0.0768213
+0.0762905
+0.0758194
+0.0754091
+0.0750604
+0.0747743
+0.0745515
+0.0743926
+0.0742944
+0.0742517
+0.0742737
+0.0743603
+0.0745112
+0.0747261
+0.0740902
+0.0722458
+0.0704212
+0.068618
+0.066838
+0.065083
+0.0633552
+0.0616568
+0.0599904
+0.0583586
+0.0567644
+0.0552111
+0.0537023
+0.0522419
+0.0508338
+0.0494808
+0.0481868
+0.0469594
+0.0458039
+0.044726
+0.0437313
+0.0428256
+0.0420147
+0.041304
+0.0406823
+0.0401702
+0.0397723
+0.039492
+0.039332
+0.0392936
+0.0390507
+0.037268
+0.035531
+0.0338467
+0.0322233
+0.0306706
+0.0291998
+0.0278238
+0.0265575
+0.025409
+0.0243811
+0.023513
+0.0228228
+0.022327
+0.0220349
+0.0219546
+0.0220881
+0.0224265
+0.0229699
+0.023704
+0.0246118
+0.025675
+0.0268744
+0.0281721
+0.0295747
+0.0310687
+0.0326413
+0.0342819
+0.035981
+0.0377169
+0.0393995
+0.0405333
+0.0417513
+0.0430465
+0.0444068
+0.0458163
+0.0472853
+0.0488085
+0.0503809
+0.0519981
+0.0536558
+0.0553479
+0.0570739
+0.0588309
+0.0606161
+0.0624272
+0.06426
+0.0661135
+0.0679869
+0.0808624
+0.0805754
+0.0803471
+0.080178
+0.0799278
+0.0792364
+0.0785999
+0.0780198
+0.0774973
+0.0770336
+0.0766297
+0.0762866
+0.0760051
+0.075786
+0.0756296
+0.075536
+0.0754941
+0.0755157
+0.0756009
+0.0757493
+0.0759607
+0.0742055
+0.072364
+0.0705425
+0.0687425
+0.0669658
+0.0652143
+0.06349
+0.0617954
+0.0601327
+0.0585049
+0.0569148
+0.0553658
+0.0538613
+0.0524053
+0.0510018
+0.0496533
+0.0483639
+0.0471411
+0.0459902
+0.0449167
+0.0439263
+0.0430248
+0.0422178
+0.0415052
+0.040892
+0.0403825
+0.0399867
+0.0397079
+0.0395488
+0.0395106
+0.0393634
+0.0375956
+0.0358744
+0.034207
+0.0326016
+0.0310678
+0.0296167
+0.0282611
+0.0270153
+0.0258871
+0.024879
+0.0240288
+0.0233538
+0.0228696
+0.0225831
+0.0225047
+0.0226363
+0.0229668
+0.0234976
+0.0242157
+0.0251051
+0.0261481
+0.0273268
+0.028604
+0.0299864
+0.0314608
+0.0330148
+0.0346377
+0.0363203
+0.0380546
+0.039169
+0.0403092
+0.0415339
+0.0428356
+0.0442033
+0.0456191
+0.0470943
+0.0486235
+0.0501987
+0.0518147
+0.0534716
+0.0551657
+0.0568931
+0.0586508
+0.0604367
+0.0622484
+0.0640837
+0.0659408
+0.0678178
+0.0816891
+0.081405
+0.081179
+0.0810117
+0.0809033
+0.0804545
+0.0798278
+0.0792567
+0.0787424
+0.078286
+0.0778886
+0.0775511
+0.0772742
+0.0770587
+0.076905
+0.0768134
+0.0767789
+0.0768001
+0.0768839
+0.0770298
+0.0762409
+0.0743852
+0.0725483
+0.0707315
+0.0689364
+0.0671648
+0.0654187
+0.0636999
+0.062011
+0.0603543
+0.0587326
+0.0571489
+0.0556064
+0.0541086
+0.0526594
+0.0512628
+0.0499214
+0.0486392
+0.0474234
+0.0462796
+0.0452129
+0.0442244
+0.0433217
+0.0425129
+0.0418034
+0.0411982
+0.0407022
+0.04031
+0.0400335
+0.0398756
+0.0398378
+0.0397944
+0.0380466
+0.0363469
+0.0347022
+0.0331208
+0.0316121
+0.0301872
+0.0288584
+0.0276396
+0.0265379
+0.0255555
+0.0247286
+0.0240733
+0.0236038
+0.023325
+0.0232491
+0.0233779
+0.0236979
+0.0242128
+0.0249103
+0.0257757
+0.0267926
+0.0279442
+0.0291943
+0.0305501
+0.0319985
+0.0335276
+0.0351268
+0.036787
+0.0380087
+0.0390601
+0.0402026
+0.041408
+0.0426919
+0.0440474
+0.0454681
+0.046948
+0.0484818
+0.0500639
+0.0516825
+0.0533418
+0.0550384
+0.0567689
+0.0585301
+0.0603195
+0.0621347
+0.0639733
+0.0658335
+0.0677134
+0.0825656
+0.0822845
+0.0820609
+0.0818954
+0.0817882
+0.0817087
+0.0810916
+0.0805295
+0.0800233
+0.0795743
+0.0791834
+0.0788514
+0.0785792
+0.0783672
+0.078216
+0.078126
+0.0780974
+0.0781236
+0.0782059
+0.0783454
+0.0764785
+0.0746288
+0.072798
+0.0709876
+0.0691992
+0.0674345
+0.0656955
+0.0639842
+0.062303
+0.0606543
+0.0590408
+0.0574656
+0.0559318
+0.054443
+0.0530029
+0.0516156
+0.0502837
+0.0490109
+0.0478005
+0.0466591
+0.0455944
+0.044612
+0.0437174
+0.042916
+0.0422133
+0.0416141
+0.041123
+0.0407349
+0.0404613
+0.0403051
+0.0402677
+0.04034
+0.0386169
+0.0369434
+0.0353265
+0.0337743
+0.0322962
+0.0309029
+0.0296062
+0.0284194
+0.0273492
+0.026397
+0.0255973
+0.0249648
+0.0245121
+0.0242428
+0.0241698
+0.0242948
+0.0246031
+0.0250993
+0.0257729
+0.0266102
+0.0275965
+0.0287158
+0.0299337
+0.0312574
+0.0326745
+0.0341733
+0.0357437
+0.0370275
+0.0379966
+0.0390246
+0.040146
+0.0413531
+0.0426386
+0.0439957
+0.045418
+0.0468995
+0.0484348
+0.0500184
+0.0516384
+0.0532992
+0.0549971
+0.0567288
+0.0584913
+0.0602818
+0.0620981
+0.0639377
+0.0657989
+0.0676799
+0.0834904
+0.0832124
+0.0829914
+0.0828277
+0.0827217
+0.0826737
+0.0823943
+0.0818411
+0.0813432
+0.0809015
+0.080517
+0.0801905
+0.0799228
+0.0797144
+0.0795658
+0.0794774
+0.0794492
+0.0794815
+0.0795643
+0.0786356
+0.0767754
+0.074933
+0.0731098
+0.0713073
+0.0695271
+0.067771
+0.0660408
+0.0643387
+0.062667
+0.0610281
+0.0594248
+0.05786
+0.056337
+0.0548592
+0.0534303
+0.0520544
+0.0507282
+0.0494605
+0.0482589
+0.0471286
+0.0460748
+0.0451029
+0.0442182
+0.0434261
+0.0427317
+0.0421399
+0.041655
+0.0412719
+0.0410019
+0.0408478
+0.0408109
+0.0408914
+0.0393012
+0.0376581
+0.0360732
+0.0345546
+0.0331114
+0.0317538
+0.0304933
+0.0293425
+0.0283072
+0.0273883
+0.0266184
+0.0260107
+0.0255754
+0.0253173
+0.0252475
+0.0253673
+0.0256637
+0.0261399
+0.0267873
+0.0275938
+0.0285461
+0.0296296
+0.0308114
+0.0320989
+0.0334804
+0.0349447
+0.0362525
+0.0371206
+0.038063
+0.0390893
+0.0402089
+0.0414141
+0.0426978
+0.0440531
+0.0454736
+0.0469534
+0.048487
+0.0500689
+0.0516873
+0.0533466
+0.055043
+0.0567733
+0.0585344
+0.0603237
+0.0621387
+0.0639772
+0.0658373
+0.0677172
+0.0844619
+0.0841871
+0.0839686
+0.0838069
+0.0837021
+0.0836546
+0.0836645
+0.0831898
+0.0827
+0.0822656
+0.0818875
+0.0815665
+0.0813033
+0.0810985
+0.0809524
+0.0808655
+0.0808378
+0.0808695
+0.0804832
+0.0789759
+0.0771239
+0.07529
+0.0734757
+0.0716824
+0.0699117
+0.0681655
+0.0664456
+0.0647542
+0.0630935
+0.061466
+0.0598744
+0.0583217
+0.056811
+0.0553458
+0.0539299
+0.0525671
+0.0512541
+0.0499997
+0.0488115
+0.0476943
+0.0466532
+0.0456936
+0.0448206
+0.0440393
+0.0433547
+0.0427716
+0.0422939
+0.0419166
+0.0416508
+0.0414991
+0.0414628
+0.0415421
+0.0400936
+0.0384843
+0.036935
+0.0354533
+0.0340482
+0.0327295
+0.0315081
+0.0303956
+0.0293975
+0.0285137
+0.0277751
+0.0271932
+0.026776
+0.0265296
+0.026463
+0.0265773
+0.0268615
+0.0273168
+0.0279369
+0.0287112
+0.0296276
+0.0306729
+0.031816
+0.0330644
+0.0344072
+0.0357303
+0.0364794
+0.0373344
+0.038255
+0.0392762
+0.0403906
+0.0415906
+0.042869
+0.0442191
+0.0456344
+0.0471091
+0.0486378
+0.050215
+0.0518289
+0.0534837
+0.0551759
+0.0569022
+0.0586594
+0.060445
+0.0622565
+0.0640916
+0.0659485
+0.0678253
+0.0854785
+0.085207
+0.0849911
+0.0848313
+0.0847279
+0.084681
+0.0846907
+0.0845737
+0.0840919
+0.0836648
+0.083293
+0.0829775
+0.0827188
+0.0825175
+0.0823739
+0.0822885
+0.0822613
+0.082084
+0.0805761
+0.0791001
+0.0775327
+0.0757088
+0.0739047
+0.0721221
+0.0703625
+0.0686278
+0.0669198
+0.0652406
+0.0635926
+0.0619782
+0.0604001
+0.0588613
+0.0573648
+0.0559142
+0.054513
+0.0531652
+0.0518673
+0.0506281
+0.049455
+0.0483526
+0.0473261
+0.0463804
+0.0455205
+0.0447515
+0.044078
+0.0435045
+0.043035
+0.0426642
+0.0424031
+0.0422541
+0.0422184
+0.0422963
+0.0409879
+0.0394152
+0.0379039
+0.0364616
+0.0350969
+0.0338191
+0.0326385
+0.0315659
+0.0306059
+0.0297581
+0.0290511
+0.0284954
+0.0280963
+0.0278617
+0.0277982
+0.0279071
+0.028179
+0.0286133
+0.0292059
+0.0299474
+0.0308271
+0.031833
+0.0329359
+0.0341434
+0.0354387
+0.0360869
+0.0368247
+0.037647
+0.03856
+0.0395734
+0.0406797
+0.0418714
+0.0431415
+0.0444833
+0.0458904
+0.0473572
+0.0488781
+0.0504483
+0.0520623
+0.0537099
+0.0553952
+0.0571148
+0.0588658
+0.0606453
+0.0624509
+0.0642805
+0.0661321
+0.0680038
+0.0865386
+0.0862705
+0.0860573
+0.0858994
+0.0857973
+0.085751
+0.0857606
+0.0858262
+0.0855174
+0.0850974
+0.0847319
+0.0844218
+0.0841675
+0.0839697
+0.0838286
+0.0837446
+0.0837179
+0.0822315
+0.0807261
+0.0792527
+0.0777738
+0.0761882
+0.0743958
+0.0726253
+0.0708782
+0.0691564
+0.0674618
+0.0657964
+0.0641627
+0.062563
+0.0610001
+0.0594767
+0.0579962
+0.0565617
+0.055177
+0.0538458
+0.0525647
+0.0513424
+0.0501859
+0.0491
+0.0480894
+0.047159
+0.0463136
+0.0455579
+0.0448965
+0.0443336
+0.043873
+0.0435094
+0.0432534
+0.0431073
+0.0430723
+0.0431487
+0.0419776
+0.0404434
+0.038972
+0.0375707
+0.0362478
+0.035012
+0.033873
+0.0328408
+0.0319192
+0.0311072
+0.0304315
+0.0299014
+0.0295204
+0.0292972
+0.0292368
+0.0293404
+0.0296001
+0.0300139
+0.0305794
+0.0312883
+0.0321313
+0.0330976
+0.0341597
+0.0353254
+0.0358625
+0.0365031
+0.0372315
+0.0380529
+0.0389726
+0.0399756
+0.041071
+0.0422516
+0.0435106
+0.0448414
+0.0462376
+0.0476937
+0.0492042
+0.0507644
+0.0523697
+0.0540162
+0.0556955
+0.0574091
+0.0591525
+0.0609237
+0.0627213
+0.0645432
+0.0663875
+0.0682522
+0.0876407
+0.0873759
+0.0871655
+0.0870096
+0.0869088
+0.086863
+0.0868725
+0.0869373
+0.0869746
+0.0865617
+0.0862025
+0.0858976
+0.0856478
+0.0854533
+0.0853147
+0.0852322
+0.0839598
+0.0824277
+0.080926
+0.0794563
+0.0780169
+0.0764874
+0.0749478
+0.0731906
+0.0714573
+0.0697498
+0.0680699
+0.0664199
+0.0648019
+0.0632183
+0.061672
+0.0601657
+0.0587025
+0.0572858
+0.0559189
+0.0546058
+0.0533431
+0.0521389
+0.0510005
+0.0499323
+0.0489389
+0.048025
+0.0471951
+0.0464538
+0.0458053
+0.0452537
+0.0448013
+0.0444449
+0.0441943
+0.0440513
+0.0440171
+0.0440918
+0.0430561
+0.0415618
+0.0401314
+0.038772
+0.0374915
+0.0362981
+0.0352007
+0.0342086
+0.0333248
+0.0325479
+0.0319028
+0.0313976
+0.0310339
+0.0308216
+0.0307643
+0.0308627
+0.0311107
+0.0315047
+0.0320438
+0.0327211
+0.0335281
+0.0344552
+0.0354767
+0.0359039
+0.0364122
+0.0370433
+0.0377613
+0.0385714
+0.0394866
+0.0404924
+0.0415742
+0.0427409
+0.0439859
+0.0453027
+0.0466852
+0.0481277
+0.049625
+0.0511724
+0.0527653
+0.0543998
+0.0560676
+0.0577702
+0.0595047
+0.0612685
+0.0630591
+0.0648742
+0.0667118
+0.0685697
+0.0887832
+0.0885218
+0.0883141
+0.0881603
+0.0880607
+0.0880156
+0.088025
+0.0880889
+0.0882071
+0.0880562
+0.0877031
+0.0874035
+0.0871579
+0.0869669
+0.0868307
+0.0857634
+0.084209
+0.0826816
+0.0811845
+0.0797196
+0.0782886
+0.0767971
+0.0753032
+0.0738166
+0.0720984
+0.0704064
+0.0687426
+0.0671091
+0.0655081
+0.0639421
+0.0624137
+0.0609257
+0.0594812
+0.0580834
+0.0567358
+0.0554421
+0.0541988
+0.0530141
+0.0518949
+0.0508455
+0.0498703
+0.0489737
+0.0481602
+0.047434
+0.0467991
+0.0462594
+0.0458132
+0.0454647
+0.0452197
+0.04508
+0.0450466
+0.0451196
+0.044217
+0.0427632
+0.0413743
+0.0400572
+0.0388191
+0.0376678
+0.0366115
+0.0356586
+0.0348117
+0.0340687
+0.0334529
+0.0329709
+0.0326244
+0.0324225
+0.032368
+0.0324615
+0.0326984
+0.0330734
+0.0335874
+0.0342342
+0.0350063
+0.0358952
+0.0362113
+0.0365844
+0.0370834
+0.0377032
+0.0384089
+0.0392056
+0.0401063
+0.0411041
+0.0421853
+0.0433356
+0.044564
+0.0458641
+0.0472302
+0.0486566
+0.0501381
+0.0516701
+0.0532481
+0.0548682
+0.0565222
+0.0582115
+0.0599333
+0.0616848
+0.0634636
+0.0652675
+0.0670944
+0.0689425
+0.0899645
+0.0897066
+0.0895016
+0.0893498
+0.0892516
+0.0892071
+0.0892163
+0.0892794
+0.0893933
+0.0895531
+0.0892323
+0.0889378
+0.0886965
+0.0885088
+0.0876325
+0.0860631
+0.0845143
+0.0829925
+0.0815012
+0.080042
+0.0786169
+0.0771617
+0.0756812
+0.0742296
+0.0727997
+0.0711245
+0.0694778
+0.067862
+0.0662792
+0.0647319
+0.0632225
+0.0617541
+0.0603294
+0.0589518
+0.0576245
+0.0563511
+0.0551284
+0.0539641
+0.052865
+0.0518352
+0.050879
+0.0500005
+0.049204
+0.0484934
+0.0478726
+0.0473449
+0.0469056
+0.0465653
+0.0463261
+0.0461898
+0.0461571
+0.0462284
+0.0454483
+0.0440352
+0.0426877
+0.0414124
+0.040216
+0.0391059
+0.0380895
+0.0371745
+0.0363624
+0.0356469
+0.0350539
+0.0345897
+0.0342596
+0.0340674
+0.0340155
+0.0341046
+0.0343334
+0.0346994
+0.0351981
+0.0358174
+0.036556
+0.0367751
+0.0370131
+0.0373781
+0.0378667
+0.0384739
+0.0391685
+0.03995
+0.0408343
+0.0418148
+0.0428848
+0.0440313
+0.0452408
+0.0465221
+0.0478694
+0.0492772
+0.0507406
+0.0522549
+0.0538158
+0.0554193
+0.0570574
+0.0587313
+0.0604382
+0.0621755
+0.0639407
+0.0657315
+0.0675458
+0.0693819
+0.0911831
+0.0909287
+0.0907264
+0.0905767
+0.0904798
+0.0904359
+0.0904441
+0.090496
+0.0906009
+0.0907585
+0.0907885
+0.0904991
+0.090262
+0.0895675
+0.0879804
+0.0864173
+0.084875
+0.0833598
+0.0818752
+0.0804228
+0.0790045
+0.0775806
+0.0761144
+0.0746711
+0.073265
+0.0718982
+0.0702737
+0.0686766
+0.067113
+0.0655854
+0.0640961
+0.0626481
+0.0612443
+0.0598877
+0.0585816
+0.0573295
+0.0561281
+0.054985
+0.0539067
+0.0528972
+0.0519605
+0.0511007
+0.0503215
+0.0496269
+0.0490205
+0.0485019
+0.0480731
+0.0477411
+0.0475079
+0.0473749
+0.0473431
+0.0474126
+0.0467465
+0.0453738
+0.0440674
+0.0428331
+0.0416776
+0.0406074
+0.0396295
+0.038751
+0.0379602
+0.0372754
+0.0367087
+0.0362657
+0.035951
+0.0357679
+0.0357184
+0.0358033
+0.0360213
+0.0363703
+0.0368464
+0.0374449
+0.0375699
+0.0376768
+0.0379091
+0.0382657
+0.038743
+0.0393367
+0.0400336
+0.0407986
+0.0416649
+0.0426263
+0.0436764
+0.0448092
+0.0460121
+0.0472724
+0.0485989
+0.0499863
+0.0514295
+0.0529241
+0.0544658
+0.0560507
+0.0576708
+0.0593274
+0.0610177
+0.062739
+0.0644887
+0.0662647
+0.0680648
+0.0698873
+0.0924376
+0.0921866
+0.0919872
+0.0918395
+0.091744
+0.0916914
+0.0916902
+0.0917415
+0.0918449
+0.0920004
+0.0922077
+0.0920835
+0.091556
+0.0899613
+0.0883813
+0.0868254
+0.0852905
+0.0837828
+0.0823058
+0.0808612
+0.0794507
+0.0780587
+0.0766016
+0.0751678
+0.0737711
+0.0724138
+0.0710981
+0.0695507
+0.0680072
+0.0665001
+0.0650318
+0.0636051
+0.0622229
+0.0608881
+0.0596039
+0.0583738
+0.0571943
+0.0560729
+0.055016
+0.0540272
+0.0531105
+0.0522695
+0.0515081
+0.0508297
+0.0502377
+0.0497284
+0.0493103
+0.0489867
+0.0487595
+0.0486299
+0.0485989
+0.0486666
+0.0481095
+0.0467769
+0.0455107
+0.0443166
+0.0432008
+0.0421693
+0.0412285
+0.0403788
+0.0396148
+0.038959
+0.0384172
+0.0379941
+0.0376938
+0.0375192
+0.0374721
+0.0375529
+0.0377609
+0.038094
+0.0385488
+0.0385695
+0.0385763
+0.0386817
+0.038908
+0.0392555
+0.0397209
+0.0403002
+0.0409886
+0.0417451
+0.0425921
+0.043533
+0.0445618
+0.0456726
+0.0468587
+0.0481014
+0.0494097
+0.0507758
+0.0521972
+0.0536704
+0.0551913
+0.056756
+0.0583601
+0.0599977
+0.0616696
+0.0633732
+0.0651059
+0.0668654
+0.0686498
+0.0704571
+0.0937266
+0.093479
+0.0932823
+0.0931293
+0.0930251
+0.0929724
+0.0929713
+0.0930218
+0.0931238
+0.0932772
+0.0934817
+0.0936048
+0.0919934
+0.0904065
+0.0888344
+0.0872866
+0.08576
+0.0842607
+0.0827922
+0.0813562
+0.0799545
+0.0785837
+0.077148
+0.0757245
+0.0743383
+0.0729916
+0.0716865
+0.0704253
+0.0689594
+0.0674736
+0.066027
+0.0646222
+0.0632622
+0.0619498
+0.0606881
+0.0594804
+0.0583233
+0.0572241
+0.0561888
+0.055221
+0.0543244
+0.0535025
+0.0527589
+0.0520968
+0.0515171
+0.0510196
+0.0506122
+0.0502969
+0.0500756
+0.0499495
+0.0499193
+0.0499852
+0.0495319
+0.0482386
+0.0470118
+0.0458569
+0.0447794
+0.0437851
+0.0428798
+0.0420523
+0.0413192
+0.0406909
+0.0401725
+0.0397681
+0.0394813
+0.0393146
+0.0392697
+0.0393468
+0.0395454
+0.0398635
+0.039785
+0.0396753
+0.0396781
+0.039782
+0.0400021
+0.0403401
+0.0407932
+0.0413575
+0.0420285
+0.0427806
+0.0436097
+0.0445291
+0.0455354
+0.046623
+0.0477856
+0.0490047
+0.0502896
+0.0516355
+0.053037
+0.0544875
+0.0559862
+0.0575293
+0.0591133
+0.060735
+0.0623914
+0.064076
+0.0657902
+0.067532
+0.0692992
+0.07109
+0.0950485
+0.0947989
+0.0945951
+0.0944417
+0.0943389
+0.0942869
+0.0942858
+0.0943356
+0.0944362
+0.0945875
+0.0947891
+0.0940746
+0.0924715
+0.0908929
+0.0893389
+0.0878
+0.0862825
+0.0847925
+0.0833334
+0.0819069
+0.0805147
+0.0791536
+0.0777485
+0.0763401
+0.0749653
+0.07363
+0.0723364
+0.0710868
+0.0698836
+0.0685033
+0.0670789
+0.0656967
+0.0643594
+0.0630698
+0.061831
+0.060646
+0.0595115
+0.0584347
+0.0574212
+0.0564746
+0.0555982
+0.0547955
+0.0540696
+0.0534237
+0.0528554
+0.0523706
+0.0519738
+0.0516668
+0.0514514
+0.0513287
+0.0512993
+0.0513634
+0.0510088
+0.0497538
+0.0485653
+0.0474482
+0.0464077
+0.0454491
+0.044572
+0.0437715
+0.0430677
+0.0424653
+0.0419687
+0.0415818
+0.0413076
+0.0411483
+0.0411054
+0.0411791
+0.0413688
+0.0411875
+0.0409792
+0.040865
+0.0408677
+0.0409699
+0.0411837
+0.0415121
+0.0419525
+0.0425014
+0.0431503
+0.0438822
+0.0447095
+0.0456088
+0.0465918
+0.0476552
+0.0487932
+0.0499878
+0.051248
+0.0525694
+0.0539473
+0.0553777
+0.0568545
+0.0583746
+0.0599363
+0.0615363
+0.0631718
+0.06484
+0.0665386
+0.0682623
+0.0700111
+0.0717841
+0.0963887
+0.0961383
+0.0959374
+0.0957861
+0.0956848
+0.0956336
+0.0956325
+0.0956816
+0.0957808
+0.0959299
+0.0961288
+0.0945921
+0.092998
+0.0914284
+0.0898849
+0.0883648
+0.0868572
+0.0853772
+0.0839282
+0.0825121
+0.0811303
+0.0797796
+0.0783974
+0.0770131
+0.0756505
+0.0743275
+0.0730463
+0.0718091
+0.0706181
+0.0694758
+0.068185
+0.0668257
+0.0655114
+0.064245
+0.0630293
+0.0618672
+0.0607556
+0.0597012
+0.0587096
+0.0577841
+0.0569278
+0.0561441
+0.0554359
+0.0548049
+0.0542491
+0.053777
+0.0533906
+0.0530918
+0.0528822
+0.0527628
+0.0527342
+0.0527966
+0.0525355
+0.0513179
+0.0501665
+0.0490858
+0.0480808
+0.0471561
+0.0463013
+0.0455312
+0.044855
+0.0442769
+0.0438009
+0.0434303
+0.0431678
+0.0430155
+0.0429744
+0.0430449
+0.0427643
+0.0424508
+0.0422462
+0.042135
+0.0421376
+0.0422381
+0.0424455
+0.0427643
+0.0431919
+0.0437252
+0.044351
+0.0450634
+0.0458694
+0.0467642
+0.0477253
+0.0487641
+0.0498768
+0.051046
+0.0522808
+0.0535766
+0.0549293
+0.0563347
+0.0577891
+0.0592887
+0.0608271
+0.0624042
+0.0640175
+0.0656643
+0.0673421
+0.0690486
+0.0707818
+0.0725378
+0.0977555
+0.0975086
+0.0973105
+0.0971614
+0.0970615
+0.097011
+0.0970099
+0.0970584
+0.0971561
+0.0973032
+0.096763
+0.0951572
+0.0935727
+0.092013
+0.0904795
+0.0889734
+0.087483
+0.0860137
+0.0845757
+0.0831705
+0.0817999
+0.0804601
+0.0791016
+0.0777379
+0.0763924
+0.0750825
+0.0738144
+0.0725903
+0.0714123
+0.070283
+0.0692046
+0.0680065
+0.0667155
+0.0654724
+0.0642799
+0.0631409
+0.0620521
+0.06102
+0.0600502
+0.0591457
+0.0583095
+0.0575446
+0.0568538
+0.0562357
+0.0556942
+0.0552344
+0.0548583
+0.0545676
+0.0543637
+0.0542475
+0.0542197
+0.0542804
+0.0541079
+0.0529264
+0.0518107
+0.0507651
+0.049794
+0.0488966
+0.0480682
+0.0473269
+0.0466767
+0.0461214
+0.0456647
+0.0453093
+0.0450578
+0.0449118
+0.0448725
+0.0445012
+0.0440913
+0.0437872
+0.0435862
+0.0434784
+0.0434809
+0.0435769
+0.0437779
+0.044087
+0.0445019
+0.0450198
+0.0456254
+0.0463182
+0.0471027
+0.0479745
+0.0489189
+0.0499328
+0.0510207
+0.0521748
+0.0533834
+0.0546532
+0.0559799
+0.0573596
+0.0587885
+0.0602633
+0.0617805
+0.0633361
+0.0649263
+0.0665505
+0.0682065
+0.0698919
+0.0716047
+0.0733429
+0.0991518
+0.0989085
+0.0987132
+0.0985662
+0.0984677
+0.0984179
+0.0984169
+0.0984646
+0.098561
+0.0987059
+0.0973648
+0.0957675
+0.0941931
+0.0926439
+0.0911209
+0.0896257
+0.0881587
+0.0867009
+0.0852745
+0.0838811
+0.0825222
+0.0811832
+0.0798598
+0.0785092
+0.0771894
+0.0758933
+0.0746389
+0.0734285
+0.0722643
+0.0711484
+0.0700833
+0.0690459
+0.0679689
+0.0667491
+0.0655798
+0.0644638
+0.0633977
+0.062388
+0.0614398
+0.060556
+0.0597395
+0.0589931
+0.0583192
+0.0577142
+0.0571868
+0.056739
+0.0563729
+0.0560901
+0.0558917
+0.0557788
+0.0557517
+0.0558107
+0.055722
+0.0545755
+0.0534942
+0.0524822
+0.0515434
+0.0506677
+0.0498688
+0.0491546
+0.0485289
+0.0479951
+0.0475563
+0.0472152
+0.0469739
+0.0468339
+0.0463802
+0.0458825
+0.0454851
+0.0451904
+0.0449929
+0.0448886
+0.044891
+0.04498
+0.0451748
+0.0454744
+0.0458768
+0.0463793
+0.0469674
+0.0476407
+0.0484038
+0.0492526
+0.0501769
+0.0511659
+0.0522281
+0.0533592
+0.0545519
+0.055795
+0.0570952
+0.0584485
+0.0598515
+0.0613007
+0.0627929
+0.064325
+0.0658937
+0.0674947
+0.069128
+0.0707915
+0.072483
+0.0742006
+0.100577
+0.100337
+0.100144
+0.0999992
+0.0999022
+0.0998531
+0.0998521
+0.0998991
+0.0999941
+0.0996168
+0.0980064
+0.0964189
+0.0948554
+0.0933171
+0.0918054
+0.0903214
+0.0888667
+0.0874377
+0.0860235
+0.0846423
+0.0832899
+0.0819579
+0.0806635
+0.0793335
+0.0780353
+0.0767559
+0.0755159
+0.0743197
+0.0731697
+0.0720679
+0.0710166
+0.0699944
+0.0690113
+0.0680725
+0.0669263
+0.0658331
+0.0647895
+0.0638018
+0.0628749
+0.0620116
+0.0612146
+0.0604864
+0.0598265
+0.0592369
+0.0587231
+0.0582872
+0.0579309
+0.0576556
+0.0574627
+0.0573528
+0.0573265
+0.0573839
+0.0573743
+0.0562616
+0.0552133
+0.0542333
+0.0533204
+0.0524705
+0.0516995
+0.0510109
+0.0504083
+0.0498946
+0.0494726
+0.0491448
+0.048913
+0.0483848
+0.0478077
+0.047325
+0.0469397
+0.0466543
+0.0464604
+0.0463594
+0.0463584
+0.0464442
+0.0466329
+0.0469232
+0.0473132
+0.0478006
+0.0483714
+0.0490254
+0.0497673
+0.0505932
+0.0514973
+0.0524614
+0.053498
+0.0546027
+0.0557717
+0.0569982
+0.0582715
+0.0595982
+0.0609747
+0.0623978
+0.0638643
+0.0653714
+0.0669155
+0.0684927
+0.0701028
+0.0717436
+0.0734132
+0.0751096
+0.102028
+0.101792
+0.101602
+0.101459
+0.101364
+0.101315
+0.101314
+0.101361
+0.101454
+0.100291
+0.0986917
+0.0971154
+0.0955633
+0.0940366
+0.0925366
+0.0910646
+0.0896219
+0.0882101
+0.0868213
+0.08545
+0.0841023
+0.0827834
+0.0815021
+0.0802093
+0.0789255
+0.0776675
+0.0764422
+0.0752608
+0.0741254
+0.073038
+0.0720008
+0.0709978
+0.0700288
+0.0691157
+0.0682606
+0.0672459
+0.0662246
+0.0652586
+0.0643527
+0.0635095
+0.0627314
+0.0620211
+0.0613749
+0.0608003
+0.0602999
+0.0598754
+0.0595286
+0.0592608
+0.0590731
+0.0589663
+0.0589407
+0.0589965
+0.0590618
+0.0579814
+0.0569648
+0.0560154
+0.0551236
+0.0543019
+0.0535572
+0.0528928
+0.0523119
+0.051817
+0.0514109
+0.0510955
+0.0505
+0.0498511
+0.0492912
+0.0488232
+0.0484499
+0.0481733
+0.0479831
+0.0478853
+0.0478806
+0.0479637
+0.0481464
+0.0484277
+0.0488057
+0.0492783
+0.0498322
+0.0504673
+0.0511883
+0.0519916
+0.0528736
+0.053815
+0.054826
+0.0559045
+0.0570468
+0.0582491
+0.0595053
+0.060805
+0.0621549
+0.0635515
+0.064992
+0.0664735
+0.0679926
+0.0695453
+0.0711316
+0.0727493
+0.0743963
+0.0760707
+0.103506
+0.103273
+0.103086
+0.102945
+0.102851
+0.102803
+0.102802
+0.102848
+0.102618
+0.101008
+0.0994205
+0.097856
+0.0963158
+0.0948012
+0.0933135
+0.0918539
+0.0904239
+0.0890248
+0.0876581
+0.0862968
+0.0849634
+0.0836581
+0.0823904
+0.0811347
+0.0798658
+0.0786295
+0.0774195
+0.0762533
+0.0751328
+0.0740602
+0.0730376
+0.0720539
+0.0710993
+0.0702001
+0.069353
+0.0685564
+0.0677001
+0.0667555
+0.0658701
+0.0650466
+0.0642872
+0.0635921
+0.0629615
+0.0624015
+0.061914
+0.0615007
+0.0611631
+0.0609025
+0.0607199
+0.0606159
+0.060591
+0.0606453
+0.0607786
+0.059732
+0.0587457
+0.0578209
+0.0569539
+0.0561589
+0.0554392
+0.0547977
+0.0542371
+0.05376
+0.0533687
+0.0527006
+0.051999
+0.051369
+0.0508258
+0.0503721
+0.0500103
+0.0497425
+0.0495559
+0.0494611
+0.0494531
+0.0495335
+0.0497105
+0.0499829
+0.0503493
+0.0508075
+0.051345
+0.0519615
+0.0526621
+0.0534433
+0.0543017
+0.0552224
+0.056208
+0.0572605
+0.0583763
+0.0595518
+0.0607835
+0.0620658
+0.0633887
+0.0647588
+0.066173
+0.0676287
+0.0691224
+0.0706503
+0.0722123
+0.0738063
+0.0754302
+0.0770822
+0.105009
+0.104779
+0.104595
+0.104456
+0.104363
+0.104316
+0.104315
+0.10436
+0.103366
+0.101768
+0.100192
+0.0986396
+0.0971119
+0.0956099
+0.094135
+0.0926884
+0.0912714
+0.0898855
+0.0885321
+0.0871905
+0.0858718
+0.0845805
+0.0833269
+0.0821082
+0.0808545
+0.0796403
+0.0784459
+0.0772951
+0.0761899
+0.0751324
+0.0741205
+0.0731567
+0.0722204
+0.0713332
+0.0704909
+0.0697069
+0.0689436
+0.0682421
+0.0674246
+0.0666203
+0.065879
+0.0651983
+0.0645835
+0.0640376
+0.0635627
+0.0631602
+0.0628315
+0.0625779
+0.0624001
+0.062299
+0.0622748
+0.0623276
+0.0624573
+0.0615108
+0.0605535
+0.0596489
+0.0588088
+0.0580393
+0.0573432
+0.0567232
+0.0561818
+0.0557214
+0.0549768
+0.0542218
+0.0535456
+0.0529341
+0.0524072
+0.0519673
+0.0516166
+0.0513572
+0.0511741
+0.0510824
+0.0510711
+0.051149
+0.0513204
+0.0515844
+0.0519394
+0.0523838
+0.0529052
+0.0535038
+0.0541844
+0.054944
+0.0557793
+0.0566795
+0.0576402
+0.058667
+0.0597565
+0.0609054
+0.0621103
+0.063368
+0.0646733
+0.0660167
+0.0674046
+0.0688342
+0.0703023
+0.0718051
+0.0733425
+0.0749124
+0.0765129
+0.078142
+0.106536
+0.106309
+0.106127
+0.105991
+0.105899
+0.105853
+0.105852
+0.105761
+0.104153
+0.102567
+0.101004
+0.0994644
+0.0979495
+0.0964606
+0.0949989
+0.0935657
+0.0921622
+0.0907899
+0.0894502
+0.0881295
+0.0868259
+0.0855491
+0.0843099
+0.0831099
+0.0818899
+0.0806924
+0.0795193
+0.0783843
+0.0772947
+0.0762492
+0.0752489
+0.0742997
+0.0733805
+0.0725063
+0.0716777
+0.0708999
+0.0701495
+0.0694602
+0.0688338
+0.0682281
+0.0675033
+0.0668378
+0.0662381
+0.0657061
+0.0652433
+0.0648512
+0.0645311
+0.0642842
+0.0641112
+0.0640127
+0.0639892
+0.0640406
+0.0641668
+0.0633155
+0.0623814
+0.0615006
+0.0606862
+0.0599408
+0.059267
+0.0586673
+0.0581441
+0.0573297
+0.0565217
+0.0557876
+0.0551308
+0.0545423
+0.054031
+0.0536045
+0.0532646
+0.0530129
+0.0528336
+0.0527448
+0.0527306
+0.052806
+0.052972
+0.0532278
+0.053572
+0.0540029
+0.0545088
+0.05509
+0.0557512
+0.0564897
+0.0573025
+0.0581826
+0.0591189
+0.0601204
+0.0611841
+0.0623066
+0.0634849
+0.064716
+0.0659968
+0.0673225
+0.0686839
+0.0700874
+0.0715298
+0.0730073
+0.07452
+0.0760656
+0.0776423
+0.0792482
+0.108085
+0.107862
+0.107683
+0.107548
+0.107458
+0.107412
+0.107411
+0.106574
+0.104979
+0.103405
+0.101855
+0.100328
+0.0988265
+0.097351
+0.0959029
+0.0944833
+0.0930937
+0.0917353
+0.0904096
+0.0891125
+0.0878241
+0.0865623
+0.0853378
+0.0841524
+0.0829703
+0.0817886
+0.080638
+0.0795189
+0.0784424
+0.0774084
+0.0764233
+0.0754889
+0.0745844
+0.0737256
+0.072911
+0.0721382
+0.0714009
+0.0707238
+0.0701086
+0.069557
+0.0690705
+0.068502
+0.0679171
+0.0673983
+0.0669471
+0.0665651
+0.0662533
+0.0660128
+0.0658444
+0.0657485
+0.0657256
+0.0657756
+0.0658985
+0.0651439
+0.064229
+0.0633739
+0.0625839
+0.0618613
+0.0612087
+0.0606282
+0.0597468
+0.0588944
+0.0581081
+0.0573943
+0.0567561
+0.0561856
+0.0556894
+0.0552757
+0.0549462
+0.0547025
+0.0545306
+0.0544426
+0.0544276
+0.0545007
+0.0546616
+0.0549094
+0.0552431
+0.0556611
+0.0561521
+0.0567164
+0.0573589
+0.058077
+0.0588679
+0.0597269
+0.0606394
+0.0616162
+0.0626545
+0.0637511
+0.0649032
+0.0661079
+0.0673622
+0.0686629
+0.0700005
+0.0713803
+0.0727998
+0.0742548
+0.0757425
+0.0772637
+0.0788164
+0.0803989
+0.109656
+0.109436
+0.10926
+0.109127
+0.109038
+0.108993
+0.108992
+0.107425
+0.105843
+0.104282
+0.102745
+0.101232
+0.0997439
+0.0982822
+0.0968479
+0.0954424
+0.094067
+0.0927229
+0.0914115
+0.0901343
+0.088865
+0.0876186
+0.086409
+0.0852386
+0.0840938
+0.0829282
+0.0818
+0.080695
+0.07963
+0.0786117
+0.0776418
+0.0767223
+0.0758325
+0.0749888
+0.0741885
+0.0734152
+0.0726909
+0.0720259
+0.0714219
+0.0708806
+0.0704032
+0.0699804
+0.0696202
+0.0691141
+0.0686743
+0.0683019
+0.0679981
+0.0677638
+0.0675997
+0.0675063
+0.067484
+0.0675327
+0.0676524
+0.0669896
+0.0660976
+0.065267
+0.0644822
+0.0636792
+0.0629423
+0.0622243
+0.0613281
+0.0604979
+0.0597328
+0.0590386
+0.0584183
+0.0578643
+0.0573826
+0.0569811
+0.0566615
+0.0564253
+0.0562618
+0.0561734
+0.0561588
+0.0562296
+0.0563856
+0.0566259
+0.0569496
+0.0573551
+0.0578317
+0.0583798
+0.0590042
+0.0597025
+0.0604721
+0.0613087
+0.0621979
+0.0631507
+0.0641641
+0.0652354
+0.0663617
+0.0675403
+0.0687686
+0.0700431
+0.0713549
+0.0727089
+0.074103
+0.0755349
+0.0770025
+0.0785037
+0.0800333
+0.0815922
+0.111249
+0.111032
+0.110858
+0.110727
+0.110639
+0.110595
+0.109904
+0.108314
+0.106745
+0.105198
+0.103674
+0.102175
+0.100701
+0.0992529
+0.0978329
+0.0964418
+0.0950808
+0.0937512
+0.0924544
+0.0911918
+0.0899401
+0.088708
+0.0875135
+0.086358
+0.0852432
+0.0841087
+0.0829935
+0.0819085
+0.0808596
+0.0798569
+0.0789024
+0.0779977
+0.0771226
+0.0762935
+0.0755029
+0.0747346
+0.0740232
+0.0733703
+0.0727775
+0.0722463
+0.071778
+0.0713633
+0.0710115
+0.0707257
+0.0704272
+0.0700641
+0.069768
+0.0695397
+0.0693798
+0.0692888
+0.069267
+0.0693145
+0.0694311
+0.0687057
+0.0677583
+0.0668652
+0.0660329
+0.0652634
+0.0645561
+0.0638194
+0.0629458
+0.0621372
+0.0613926
+0.0607173
+0.0601144
+0.0595762
+0.0591084
+0.0587187
+0.0584087
+0.0581795
+0.058024
+0.0579352
+0.0579211
+0.0579898
+0.058141
+0.0583741
+0.0586881
+0.0590817
+0.0595445
+0.060077
+0.0606839
+0.0613631
+0.0621122
+0.0629269
+0.0637936
+0.0647229
+0.0657121
+0.0667585
+0.0678596
+0.0690126
+0.0702151
+0.0714639
+0.07275
+0.0740786
+0.0754473
+0.0768542
+0.0782971
+0.079774
+0.0812832
+0.0828211
+0.0926352
+0.0907629
+0.0889051
+0.0870628
+0.085237
+0.0834288
+0.0816393
+0.0798698
+0.0781217
+0.0763964
+0.0746923
+0.0730138
+0.071363
+0.069742
+0.0681529
+0.0665979
+0.0650795
+0.0636003
+0.0621631
+0.060771
+0.0594247
+0.0581208
+0.0568715
+0.0556803
+0.0545511
+0.0534878
+0.0524945
+0.0515751
+0.0507338
+0.0499743
+0.0493006
+0.0487162
+0.0482243
+0.0478278
+0.0475226
+0.0473037
+0.0471857
+0.0471693
+0.0472545
+0.0474408
+0.0477271
+0.0481115
+0.0485917
+0.0491649
+0.049828
+0.0505773
+0.0514091
+0.0523194
+0.0532984
+0.0543389
+0.0554466
+0.0566174
+0.0578474
+0.0591331
+0.0604708
+0.0618572
+0.0632891
+0.0647632
+0.0662753
+0.0678246
+0.0694084
+0.0710244
+0.0726706
+0.0743449
+0.0760454
+0.0777704
+0.0795184
+0.0812879
+0.0830774
+0.0848857
+0.0867117
+0.0885542
+0.0904123
+0.0922849
+0.0939794
+0.0955819
+0.0972074
+0.0988547
+0.100523
+0.10221
+0.103889
+0.105551
+0.107232
+0.108464
+0.108884
+0.10934
+0.109835
+0.110372
+0.11095
+0.111567
+0.112223
+0.112877
+0.11357
+0.114299
+0.115054
+0.115845
+0.116669
+0.117528
+0.118406
+0.119285
+0.0917307
+0.0898396
+0.0879623
+0.0860999
+0.0842532
+0.0824234
+0.0806116
+0.0788191
+0.0770471
+0.0752972
+0.0735708
+0.0718685
+0.0701908
+0.0685421
+0.0669245
+0.0653402
+0.0637919
+0.0622822
+0.0608139
+0.0593901
+0.0580141
+0.0566863
+0.0554046
+0.0541811
+0.05302
+0.0519254
+0.0509016
+0.049953
+0.0490838
+0.0482984
+0.047601
+0.0469955
+0.0464853
+0.0460738
+0.0457636
+0.0455365
+0.0454139
+0.0453968
+0.0454853
+0.0456789
+0.0459761
+0.046375
+0.046873
+0.047467
+0.0481534
+0.0489284
+0.0497877
+0.0507272
+0.0517363
+0.0528076
+0.0539467
+0.0551494
+0.0564114
+0.0577291
+0.0590986
+0.0605165
+0.0619793
+0.0634838
+0.0650257
+0.066604
+0.0682162
+0.0698598
+0.0715328
+0.0732331
+0.0749588
+0.0767083
+0.07848
+0.0802723
+0.082084
+0.0839137
+0.0857604
+0.0876229
+0.0895003
+0.091255
+0.0928528
+0.0944744
+0.0961186
+0.0977843
+0.0994702
+0.101148
+0.102808
+0.104487
+0.106185
+0.107265
+0.107689
+0.108148
+0.108649
+0.109191
+0.109775
+0.110399
+0.111063
+0.111765
+0.112506
+0.113262
+0.11403
+0.114828
+0.115662
+0.116531
+0.117434
+0.118313
+0.0908701
+0.0889607
+0.0870645
+0.0851824
+0.0833154
+0.0814645
+0.0796309
+0.0778158
+0.0760204
+0.0742463
+0.072495
+0.0707681
+0.0690676
+0.067392
+0.0657461
+0.0641328
+0.0625546
+0.0610142
+0.0595146
+0.058059
+0.0566507
+0.0552933
+0.0539833
+0.0527269
+0.0515331
+0.0504062
+0.0493509
+0.0483718
+0.0474737
+0.0466613
+0.045939
+0.0453112
+0.0447819
+0.0443546
+0.0440323
+0.0438075
+0.04368
+0.0436622
+0.0437543
+0.0439554
+0.0442642
+0.0446785
+0.0451952
+0.0458109
+0.0465218
+0.0473235
+0.0482114
+0.049181
+0.0502211
+0.0513242
+0.0524955
+0.0537306
+0.0550252
+0.0563753
+0.0577769
+0.0592264
+0.0607203
+0.0622553
+0.0638269
+0.0654341
+0.0670744
+0.0687453
+0.0704448
+0.0721707
+0.0739212
+0.0756947
+0.0774896
+0.0793043
+0.0811376
+0.0829882
+0.084855
+0.0867369
+0.0885551
+0.0901476
+0.0917647
+0.0934052
+0.0950679
+0.0967516
+0.0984281
+0.100085
+0.101762
+0.103458
+0.105173
+0.106097
+0.106523
+0.106987
+0.107493
+0.108042
+0.108632
+0.109262
+0.109933
+0.110643
+0.111391
+0.112177
+0.113001
+0.11384
+0.114685
+0.115483
+0.116288
+0.117129
+0.0900528
+0.0881256
+0.086211
+0.0843099
+0.0824232
+0.0805518
+0.078697
+0.0768598
+0.0750415
+0.0732437
+0.0714678
+0.0697155
+0.0679886
+0.0662892
+0.0646192
+0.0629784
+0.0613705
+0.0597996
+0.0582688
+0.0567813
+0.0553405
+0.0539501
+0.0526067
+0.0513166
+0.0500892
+0.048929
+0.0478411
+0.0468305
+0.0459023
+0.0450615
+0.0443132
+0.043662
+0.0431125
+0.0426685
+0.0423333
+0.0421096
+0.0419889
+0.0419704
+0.0420661
+0.0422753
+0.0425963
+0.0430266
+0.0435629
+0.0442014
+0.0449377
+0.0457671
+0.0466847
+0.0476854
+0.0487574
+0.0498928
+0.0510969
+0.052365
+0.0536926
+0.0550754
+0.0565092
+0.0579904
+0.0595154
+0.0610806
+0.0626817
+0.0643175
+0.0659856
+0.0676834
+0.0694088
+0.0711599
+0.0729347
+0.0747316
+0.076549
+0.0783855
+0.0802398
+0.0821107
+0.083997
+0.085881
+0.0874683
+0.0890803
+0.0907164
+0.0923755
+0.0940564
+0.0957313
+0.0973848
+0.0990592
+0.100753
+0.102354
+0.103811
+0.104954
+0.105388
+0.105859
+0.106371
+0.106925
+0.107521
+0.108158
+0.108835
+0.109552
+0.110308
+0.111102
+0.111933
+0.11275
+0.113534
+0.114308
+0.115114
+0.115955
+0.0892777
+0.0873334
+0.0854011
+0.0834816
+0.0815757
+0.0796844
+0.0778088
+0.0759502
+0.0741096
+0.0722886
+0.0704887
+0.0687114
+0.0669586
+0.0652324
+0.0635347
+0.0618681
+0.060235
+0.0586383
+0.0570797
+0.0555605
+0.0540872
+0.0526639
+0.0512867
+0.0499626
+0.048701
+0.047507
+0.0463858
+0.0453427
+0.0443834
+0.0435132
+0.0427378
+0.0420623
+0.0414916
+0.04103
+0.0406814
+0.0404485
+0.0403335
+0.0403266
+0.0404262
+0.0406439
+0.0409776
+0.0414247
+0.0419815
+0.0426437
+0.0434064
+0.0442646
+0.0452127
+0.0462452
+0.0473498
+0.0485182
+0.0497556
+0.051057
+0.0524177
+0.0538332
+0.0552993
+0.056812
+0.0583678
+0.059963
+0.0615931
+0.0632571
+0.0649524
+0.0666765
+0.0684274
+0.0702029
+0.0720014
+0.073821
+0.0756603
+0.0775178
+0.0793924
+0.0812827
+0.0831878
+0.0848166
+0.0864235
+0.0880545
+0.0897094
+0.0913868
+0.0930596
+0.094709
+0.0963801
+0.0978894
+0.0993155
+0.100769
+0.102249
+0.103754
+0.104274
+0.104756
+0.105282
+0.105841
+0.106443
+0.107087
+0.107771
+0.108495
+0.109258
+0.110019
+0.110766
+0.111552
+0.11234
+0.113118
+0.113931
+0.114778
+0.0885449
+0.0865895
+0.0846401
+0.0827029
+0.0807787
+0.0788683
+0.0769728
+0.0750935
+0.0732314
+0.071388
+0.0695648
+0.0677633
+0.0659853
+0.0642329
+0.0625081
+0.0608133
+0.0591511
+0.0575243
+0.0559361
+0.0543869
+0.0528823
+0.0514271
+0.0500255
+0.0486695
+0.0473735
+0.0461451
+0.04499
+0.0439138
+0.0429225
+0.0420222
+0.0412187
+0.0405179
+0.0399251
+0.0394452
+0.0390824
+0.03884
+0.0387201
+0.0387241
+0.0388407
+0.0390672
+0.0394143
+0.0398789
+0.040457
+0.0411437
+0.0419337
+0.0428214
+0.0438007
+0.0448657
+0.0460035
+0.0472052
+0.0484761
+0.049811
+0.0512048
+0.052653
+0.054151
+0.0556949
+0.0572811
+0.0589057
+0.0605643
+0.0622558
+0.0639776
+0.0657273
+0.0675028
+0.069302
+0.0711232
+0.0729648
+0.0748251
+0.0767029
+0.0785969
+0.0805059
+0.0821962
+0.083796
+0.085422
+0.0870719
+0.088745
+0.0904151
+0.0920598
+0.0934684
+0.0948597
+0.0962808
+0.0977303
+0.099207
+0.10071
+0.102237
+0.103194
+0.103681
+0.104212
+0.104787
+0.105401
+0.10605
+0.106741
+0.107407
+0.108084
+0.1088
+0.109556
+0.110349
+0.111172
+0.111937
+0.112725
+0.113535
+0.0878552
+0.0858854
+0.0839265
+0.0819755
+0.0800337
+0.0781051
+0.0761907
+0.0742915
+0.0724089
+0.070544
+0.0686983
+0.0668735
+0.0650712
+0.0632935
+0.0615424
+0.0598202
+0.0581297
+0.0564735
+0.0548548
+0.0532741
+0.0517372
+0.0502489
+0.0488134
+0.0474358
+0.0461119
+0.044849
+0.0436596
+0.0425497
+0.0415259
+0.0405946
+0.0397623
+0.0390353
+0.0384196
+0.0379207
+0.0375432
+0.0372908
+0.037166
+0.0371701
+0.0373031
+0.0375521
+0.0379131
+0.0383959
+0.0389959
+0.0397079
+0.040526
+0.0414438
+0.0424549
+0.0435528
+0.0447241
+0.0459592
+0.0472636
+0.0486318
+0.0500585
+0.0515388
+0.0530683
+0.0546429
+0.0562587
+0.057912
+0.0595982
+0.0613164
+0.0630639
+0.0648382
+0.0666374
+0.0684594
+0.0703024
+0.0721649
+0.0740453
+0.0759424
+0.0778549
+0.07961
+0.0812017
+0.0828207
+0.0844655
+0.0861337
+0.0877787
+0.0890973
+0.0904497
+0.0918345
+0.0932502
+0.0946954
+0.0961688
+0.0976691
+0.0991951
+0.100746
+0.102149
+0.102642
+0.103178
+0.103758
+0.104381
+0.104952
+0.105553
+0.106196
+0.106881
+0.107605
+0.108369
+0.109171
+0.109909
+0.110653
+0.111435
+0.112254
+0.0872152
+0.0852305
+0.0832562
+0.081293
+0.0793417
+0.0773964
+0.075464
+0.0735461
+0.0716439
+0.0697585
+0.0678915
+0.0660444
+0.0642189
+0.0624169
+0.0606405
+0.058892
+0.0571739
+0.0554892
+0.0538409
+0.0522296
+0.050661
+0.0491401
+0.0476713
+0.0462596
+0.0449105
+0.0436233
+0.0423995
+0.0412557
+0.040199
+0.0392362
+0.0383744
+0.0376206
+0.0369814
+0.0364628
+0.03607
+0.0358072
+0.0356772
+0.0356815
+0.03582
+0.0360912
+0.0364691
+0.0369708
+0.0375936
+0.0383316
+0.0391784
+0.0401271
+0.0411706
+0.0423018
+0.0435141
+0.0447857
+0.0461234
+0.0475244
+0.0489834
+0.0504952
+0.0520554
+0.0536596
+0.0553042
+0.0569852
+0.0586981
+0.0604418
+0.0622139
+0.0640118
+0.0658336
+0.0676772
+0.069541
+0.0714233
+0.0733227
+0.075238
+0.0770617
+0.0786439
+0.0802547
+0.0818925
+0.0835121
+0.0847839
+0.0860926
+0.0874366
+0.0888144
+0.0902242
+0.0916648
+0.0931346
+0.0946323
+0.0961566
+0.0977063
+0.0992801
+0.100877
+0.101639
+0.102149
+0.102651
+0.103172
+0.103738
+0.104346
+0.104997
+0.105688
+0.106421
+0.107193
+0.107916
+0.10863
+0.109382
+0.110173
+0.111002
+0.0866258
+0.0846273
+0.0826386
+0.0806603
+0.0786933
+0.0767385
+0.0747945
+0.072859
+0.0709383
+0.0690337
+0.0671465
+0.0652783
+0.0634308
+0.0616057
+0.0598052
+0.0580315
+0.0562873
+0.0545752
+0.0528984
+0.0512575
+0.0496582
+0.0481056
+0.0466042
+0.0451592
+0.0437762
+0.0424612
+0.0412153
+0.0400378
+0.038948
+0.0379535
+0.0370619
+0.0362808
+0.0356176
+0.0350789
+0.0346704
+0.0343969
+0.0342615
+0.034266
+0.0344102
+0.0346924
+0.0350892
+0.0356103
+0.0362565
+0.0370212
+0.0378973
+0.0388772
+0.0399534
+0.0411181
+0.0423642
+0.0436771
+0.0450513
+0.0464882
+0.0479821
+0.0495266
+0.0511163
+0.0527491
+0.0544212
+0.0561277
+0.057866
+0.0596341
+0.0614294
+0.0632497
+0.0650928
+0.0669568
+0.0688401
+0.0707411
+0.0726583
+0.074555
+0.0761263
+0.0777275
+0.0793118
+0.0805374
+0.0817967
+0.0830948
+0.0844297
+0.0857998
+0.0872034
+0.0886389
+0.0901048
+0.0915997
+0.0931221
+0.0946707
+0.0962442
+0.0978415
+0.0994615
+0.100466
+0.10095
+0.101449
+0.101977
+0.102549
+0.103164
+0.103822
+0.104522
+0.105263
+0.105976
+0.106658
+0.107379
+0.108141
+0.10894
+0.109778
+0.0860881
+0.0840769
+0.0820748
+0.0800826
+0.0781011
+0.076131
+0.0741733
+0.072229
+0.0702939
+0.0683714
+0.0664654
+0.0645775
+0.0627093
+0.0608626
+0.0590395
+0.0572421
+0.055473
+0.053735
+0.0520311
+0.050362
+0.0487333
+0.0471502
+0.0456174
+0.0441401
+0.0427241
+0.0413757
+0.0401017
+0.0389052
+0.0377827
+0.0367567
+0.0358353
+0.0350269
+0.0343395
+0.0337804
+0.033356
+0.0330716
+0.0329308
+0.0329355
+0.0330855
+0.0333789
+0.0337951
+0.0343358
+0.0350055
+0.035797
+0.0367023
+0.0377133
+0.0388217
+0.0400194
+0.0412987
+0.0426444
+0.0440508
+0.0455193
+0.0470439
+0.0486195
+0.0502413
+0.0519048
+0.0536062
+0.0553403
+0.0571026
+0.0588936
+0.0607108
+0.062552
+0.0644151
+0.0662981
+0.0681996
+0.070118
+0.0720518
+0.0736529
+0.0751854
+0.0763566
+0.0775717
+0.0788182
+0.0801046
+0.0814296
+0.0827913
+0.0841881
+0.0856181
+0.0870798
+0.0885715
+0.0900918
+0.0916392
+0.0932125
+0.0948103
+0.0964313
+0.0980745
+0.0992952
+0.0997826
+0.10028
+0.100814
+0.101393
+0.102015
+0.10268
+0.103388
+0.104089
+0.104737
+0.105426
+0.106156
+0.106926
+0.107735
+0.108582
+0.0856032
+0.0835802
+0.081566
+0.0795611
+0.0775662
+0.0755822
+0.0736099
+0.0716503
+0.0697044
+0.0677734
+0.0658502
+0.0639441
+0.0620568
+0.0601901
+0.058346
+0.0565265
+0.0547343
+0.0529721
+0.0512429
+0.0495472
+0.0478908
+0.0462789
+0.0447162
+0.0432081
+0.0417605
+0.04038
+0.0390735
+0.0378488
+0.0367113
+0.0356544
+0.0347038
+0.0338684
+0.033157
+0.0325776
+0.0321373
+0.0318421
+0.0316958
+0.0317006
+0.0318565
+0.0321611
+0.0325969
+0.0331572
+0.0338502
+0.0346681
+0.0356021
+0.0366435
+0.0377833
+0.0390129
+0.0403241
+0.0417012
+0.0431384
+0.0446369
+0.0461907
+0.0477945
+0.0494433
+0.0511328
+0.0528591
+0.0546187
+0.0564056
+0.058218
+0.0600557
+0.0619164
+0.063798
+0.0656987
+0.0676171
+0.0695515
+0.071157
+0.0722607
+0.0734132
+0.0746123
+0.0758487
+0.0771224
+0.0784366
+0.0797893
+0.0811786
+0.0826027
+0.0840597
+0.085548
+0.087066
+0.0886122
+0.090185
+0.0917833
+0.0934055
+0.0950505
+0.0966972
+0.0981031
+0.0986174
+0.0991459
+0.0996862
+0.100271
+0.1009
+0.101573
+0.102258
+0.10287
+0.103526
+0.104223
+0.104961
+0.10574
+0.106558
+0.107415
+0.0851718
+0.0831384
+0.0811132
+0.0790968
+0.0770899
+0.0750933
+0.0731078
+0.0711344
+0.069174
+0.0672279
+0.0652972
+0.0633801
+0.0614756
+0.0595907
+0.0577273
+0.0558878
+0.0540744
+0.0522899
+0.0505374
+0.0488172
+0.0471351
+0.0454965
+0.0439059
+0.042369
+0.0408917
+0.0394808
+0.0381435
+0.036888
+0.0357228
+0.0346557
+0.033677
+0.0328155
+0.0320807
+0.0314814
+0.0310257
+0.0307197
+0.0305681
+0.0305731
+0.0307346
+0.0310503
+0.0315057
+0.032085
+0.0328007
+0.0336441
+0.0346058
+0.0356762
+0.036846
+0.0381059
+0.0394472
+0.0408539
+0.0423199
+0.0438464
+0.0454273
+0.047057
+0.0487308
+0.0504441
+0.0521932
+0.0539746
+0.0557821
+0.0576141
+0.0594705
+0.0613489
+0.0632474
+0.0651642
+0.0670978
+0.0682706
+0.0693511
+0.0704831
+0.0716566
+0.0728719
+0.074132
+0.0754347
+0.0767779
+0.0781593
+0.0795771
+0.0810293
+0.0825141
+0.0840298
+0.0855747
+0.0871474
+0.0887462
+0.0903698
+0.0920061
+0.0936515
+0.0953177
+0.0968875
+0.0974082
+0.097967
+0.0985323
+0.0991429
+0.0997978
+0.100489
+0.101065
+0.101684
+0.102347
+0.103053
+0.103799
+0.104587
+0.105414
+0.106279
+0.0847949
+0.0827522
+0.0807173
+0.0786907
+0.0766732
+0.0746655
+0.0726683
+0.0706826
+0.0687094
+0.0667497
+0.0648048
+0.0628761
+0.060965
+0.0590664
+0.057186
+0.0553284
+0.0534961
+0.0516916
+0.0499181
+0.0481758
+0.0464706
+0.0448076
+0.0431917
+0.0416284
+0.0401239
+0.0386849
+0.0373192
+0.0360349
+0.0348412
+0.0337476
+0.0327489
+0.0318623
+0.031105
+0.0304866
+0.0300157
+0.0296994
+0.0295425
+0.0295477
+0.0297148
+0.0300412
+0.030516
+0.0311138
+0.0318513
+0.0327191
+0.0337072
+0.0348053
+0.0360034
+0.0372917
+0.0386614
+0.040104
+0.0416008
+0.0431527
+0.0447581
+0.0464113
+0.0481075
+0.0498423
+0.0516118
+0.0534126
+0.0552384
+0.057088
+0.0589609
+0.060855
+0.0627685
+0.0643661
+0.0653812
+0.0664505
+0.0675597
+0.0687078
+0.0699057
+0.0711509
+0.072441
+0.0737736
+0.0751464
+0.0765573
+0.0780042
+0.0794851
+0.0809982
+0.0825418
+0.084114
+0.0857135
+0.0873364
+0.0889603
+0.0906081
+0.0922785
+0.093969
+0.095679
+0.0962337
+0.0968076
+0.0973905
+0.0980081
+0.0986706
+0.0993225
+0.0999051
+0.100532
+0.101203
+0.101916
+0.102671
+0.103467
+0.104303
+0.105174
+0.0844731
+0.0824224
+0.0803792
+0.0783439
+0.0763172
+0.0742998
+0.0722926
+0.0702962
+0.0683118
+0.0663404
+0.0643832
+0.0624414
+0.0605167
+0.0586106
+0.0567241
+0.0548509
+0.0530021
+0.0511802
+0.0493883
+0.0476266
+0.045901
+0.0442166
+0.0425783
+0.0409916
+0.0394628
+0.0379989
+0.0366075
+0.0352974
+0.0340778
+0.0329589
+0.0319356
+0.0310257
+0.0302475
+0.0296112
+0.0291262
+0.0288
+0.0286382
+0.0286436
+0.0288159
+0.0291524
+0.0296473
+0.0302686
+0.0310263
+0.0319166
+0.0329287
+0.034052
+0.0352756
+0.0365896
+0.0379845
+0.0394519
+0.0409837
+0.0425606
+0.0441874
+0.0458613
+0.0475771
+0.0493306
+0.0511178
+0.0529353
+0.0547771
+0.0566417
+0.0585289
+0.0604366
+0.0615165
+0.062508
+0.06355
+0.0646468
+0.0657728
+0.0669515
+0.0681803
+0.0694564
+0.0707774
+0.0721407
+0.073544
+0.074985
+0.0764617
+0.0779719
+0.0795138
+0.0810856
+0.0826856
+0.0842928
+0.0859184
+0.0875686
+0.0892421
+0.0909375
+0.0926526
+0.0943849
+0.0950952
+0.0956713
+0.0962516
+0.096878
+0.0975496
+0.0981914
+0.0987807
+0.0994148
+0.100093
+0.100814
+0.101577
+0.102381
+0.103222
+0.104097
+0.0842069
+0.0821498
+0.0800996
+0.078057
+0.0760227
+0.0739973
+0.0719816
+0.0699764
+0.0679826
+0.0660014
+0.0640337
+0.0620811
+0.0601448
+0.0582266
+0.0563282
+0.0544518
+0.0525947
+0.0507583
+0.0489509
+0.0471729
+0.04543
+0.0437275
+0.0420702
+0.0404636
+0.038914
+0.0374286
+0.0360152
+0.0346828
+0.0334408
+0.0322998
+0.0312549
+0.0303246
+0.0295279
+0.0288758
+0.0283782
+0.0280434
+0.0278772
+0.0278826
+0.0280597
+0.0284051
+0.0289128
+0.029562
+0.0303373
+0.0312472
+0.0322804
+0.0334254
+0.0346712
+0.0360072
+0.0374239
+0.0389115
+0.040461
+0.0420675
+0.0437193
+0.0454104
+0.0471426
+0.0489117
+0.0507136
+0.0525451
+0.0544002
+0.0562773
+0.0577957
+0.0586921
+0.0596555
+0.0606692
+0.0617392
+0.0628533
+0.0640109
+0.0652215
+0.0664822
+0.0677903
+0.0691431
+0.070538
+0.0719726
+0.0734444
+0.0749515
+0.0764915
+0.0780627
+0.0796529
+0.0812532
+0.0828806
+0.0845333
+0.08621
+0.0879094
+0.0896226
+0.0913445
+0.093086
+0.0939866
+0.0945472
+0.0951344
+0.0957682
+0.0964475
+0.0970966
+0.0976925
+0.0983336
+0.099019
+0.0997478
+0.100519
+0.101328
+0.102172
+0.103014
+0.0839936
+0.0819347
+0.0798791
+0.0778307
+0.0757903
+0.0737586
+0.0717361
+0.0697239
+0.0677227
+0.0657336
+0.0637577
+0.0617963
+0.0598509
+0.0579229
+0.0560142
+0.054127
+0.0522634
+0.0504261
+0.0486076
+0.0468174
+0.0450608
+0.0433438
+0.0416712
+0.0400486
+0.0384823
+0.0369795
+0.0355483
+0.0341976
+0.0329374
+0.0317784
+0.0307157
+0.0297686
+0.0289566
+0.0282913
+0.0277832
+0.0274411
+0.0272713
+0.0272769
+0.0274578
+0.0278107
+0.028329
+0.0289992
+0.0297891
+0.0307153
+0.0317658
+0.0329287
+0.0341925
+0.035546
+0.0369771
+0.0384798
+0.0400459
+0.0416684
+0.043341
+0.0450579
+0.0468067
+0.048588
+0.0504015
+0.0522386
+0.054102
+0.0550229
+0.0558966
+0.056823
+0.0578108
+0.0588471
+0.0599379
+0.0610858
+0.0622762
+0.0635199
+0.0648137
+0.0661548
+0.0675404
+0.0689677
+0.0704342
+0.0719376
+0.0734755
+0.0750459
+0.0766173
+0.0782183
+0.0798474
+0.0815028
+0.0831829
+0.0848758
+0.0865812
+0.088308
+0.090055
+0.091821
+0.0927636
+0.0933489
+0.0939816
+0.0946608
+0.0953829
+0.0960393
+0.0966417
+0.0972897
+0.0979824
+0.0987189
+0.0994944
+0.100306
+0.101079
+0.1018
+0.0838364
+0.0817742
+0.0797181
+0.0776656
+0.0756208
+0.0735843
+0.071557
+0.0695395
+0.0675329
+0.065538
+0.0635561
+0.0615883
+0.059636
+0.0577008
+0.0557846
+0.0538893
+0.0520172
+0.0501708
+0.0483428
+0.0465442
+0.0447806
+0.0430563
+0.0413761
+0.0397457
+0.0381713
+0.0366561
+0.0352117
+0.0338476
+0.0325739
+0.0314014
+0.0303255
+0.0293658
+0.0285424
+0.0278672
+0.0273512
+0.0270037
+0.0268311
+0.0268368
+0.0270206
+0.0273791
+0.0279055
+0.0285856
+0.0293867
+0.0303251
+0.0313887
+0.032565
+0.0338425
+0.0352094
+0.0366537
+0.0381691
+0.0397475
+0.0413817
+0.0430653
+0.0447929
+0.0465594
+0.0483482
+0.0501647
+0.0514397
+0.0522675
+0.0531348
+0.0540197
+0.0549775
+0.0559771
+0.0570386
+0.0581633
+0.0593465
+0.0605711
+0.0618491
+0.0631771
+0.0645523
+0.0659715
+0.067432
+0.0689312
+0.0704667
+0.072016
+0.0735868
+0.0751885
+0.0768194
+0.0784775
+0.0801473
+0.0818339
+0.0835439
+0.085276
+0.0870286
+0.0888008
+0.0905912
+0.0915766
+0.0921695
+0.0928102
+0.0934979
+0.0942316
+0.0950101
+0.0956295
+0.0962843
+0.0969842
+0.0977244
+0.0985021
+0.0992004
+0.0998746
+0.100592
+0.0837362
+0.0816715
+0.0796135
+0.077562
+0.0755144
+0.073475
+0.0714445
+0.0694238
+0.0674138
+0.0654153
+0.0634295
+0.0614576
+0.0595011
+0.0575614
+0.0556403
+0.0537399
+0.0518624
+0.0500104
+0.0481762
+0.0463712
+0.0446008
+0.0428692
+0.0411814
+0.0395429
+0.0379602
+0.0364405
+0.0349919
+0.0336239
+0.0323464
+0.0311708
+0.0300902
+0.0291228
+0.0282922
+0.0276109
+0.0270901
+0.0267391
+0.0265648
+0.0265705
+0.0267563
+0.0271182
+0.0276496
+0.0283358
+0.0291437
+0.0300898
+0.0311613
+0.032346
+0.0336318
+0.035007
+0.0364592
+0.0379824
+0.0395682
+0.0412095
+0.0429
+0.0446339
+0.0464065
+0.0480892
+0.0487772
+0.0495509
+0.0503852
+0.0512504
+0.0521673
+0.0531327
+0.0541614
+0.0552577
+0.0564179
+0.057638
+0.0588981
+0.0602116
+0.061575
+0.0629851
+0.0644389
+0.0659333
+0.0674567
+0.0689921
+0.0705621
+0.0721645
+0.0737972
+0.0754404
+0.0771055
+0.0787964
+0.0805113
+0.0822488
+0.0840076
+0.0857862
+0.0875835
+0.0893983
+0.0904272
+0.0910275
+0.0916762
+0.0923724
+0.0931149
+0.0939026
+0.0946572
+0.0953187
+0.0960218
+0.0967587
+0.0973512
+0.0979891
+0.0986716
+0.0993976
+0.0836933
+0.0816275
+0.0795684
+0.0775151
+0.0754664
+0.073426
+0.0713944
+0.0693725
+0.0673612
+0.0653614
+0.0633742
+0.0614009
+0.0594428
+0.0575015
+0.0555788
+0.0536765
+0.0517971
+0.049943
+0.0481089
+0.0463013
+0.0445281
+0.0427936
+0.0411027
+0.0394609
+0.0378748
+0.0363515
+0.0348993
+0.0335274
+0.0322461
+0.0310667
+0.030001
+0.0290433
+0.0282104
+0.0275271
+0.0270047
+0.0266526
+0.0264777
+0.0264835
+0.0266698
+0.0270329
+0.0275659
+0.0282542
+0.0290644
+0.0300129
+0.0310871
+0.0322745
+0.033563
+0.0349409
+0.0363958
+0.0379215
+0.0395098
+0.0411534
+0.0428461
+0.0445821
+0.0454995
+0.0461321
+0.0468436
+0.0476347
+0.0484987
+0.0493912
+0.0503183
+0.0513099
+0.0523743
+0.0535073
+0.0547046
+0.0559621
+0.0572601
+0.0586103
+0.0600101
+0.0614561
+0.0629452
+0.0644422
+0.0659751
+0.0675442
+0.0691471
+0.0707596
+0.0723998
+0.0740685
+0.0757637
+0.0774839
+0.0792272
+0.0809923
+0.0827777
+0.0845822
+0.0864045
+0.0882436
+0.0893166
+0.0899244
+0.090581
+0.0912855
+0.0920218
+0.0927888
+0.0936008
+0.0943902
+0.0950136
+0.0955667
+0.0961666
+0.0968123
+0.097503
+0.0982376
+0.0837009
+0.0816391
+0.0795793
+0.0775233
+0.0754748
+0.0734346
+0.0714033
+0.0693817
+0.0673706
+0.0653711
+0.0633842
+0.0614112
+0.0594535
+0.0575125
+0.0555902
+0.0536883
+0.0518093
+0.0499557
+0.0481305
+0.046335
+0.0445631
+0.04283
+0.0411406
+0.0395004
+0.0379159
+0.0363944
+0.034944
+0.0335739
+0.0322945
+0.0311169
+0.030053
+0.0291153
+0.0282879
+0.0276065
+0.0270856
+0.0267346
+0.0265602
+0.026566
+0.0267517
+0.0271138
+0.0276452
+0.0283365
+0.0291499
+0.0300957
+0.0311671
+0.0323515
+0.0336371
+0.0350121
+0.0364641
+0.0379871
+0.0395727
+0.0412139
+0.0425201
+0.0429736
+0.0435328
+0.0441878
+0.0449252
+0.0457396
+0.0466387
+0.0475392
+0.0484886
+0.0495168
+0.050619
+0.0517904
+0.0530265
+0.0543228
+0.0556601
+0.0570481
+0.0584853
+0.0599474
+0.0614361
+0.0629659
+0.0645334
+0.0661103
+0.0677214
+0.0693642
+0.0710367
+0.0727366
+0.0744622
+0.0762117
+0.0779835
+0.0797761
+0.0815882
+0.0834184
+0.0852656
+0.0871287
+0.0881185
+0.0887344
+0.0893998
+0.0901135
+0.0908744
+0.0916813
+0.0925203
+0.0933387
+0.0938505
+0.0944105
+0.0950176
+0.0956711
+0.09637
+0.0971132
+0.0837547
+0.0816943
+0.0796409
+0.0775907
+0.0755468
+0.0735085
+0.0714793
+0.0694599
+0.0674512
+0.0654541
+0.0634699
+0.0614996
+0.0595448
+0.0576069
+0.0556878
+0.0537894
+0.0519141
+0.0500644
+0.0482432
+0.046454
+0.0447005
+0.0429783
+0.0412949
+0.0396611
+0.0380833
+0.0365687
+0.0351255
+0.0337628
+0.0324908
+0.0313206
+0.0302639
+0.029333
+0.0285119
+0.0278359
+0.0273194
+0.0269714
+0.0267986
+0.0268043
+0.0269884
+0.0273473
+0.0278743
+0.02856
+0.0293909
+0.0303293
+0.0313927
+0.0325689
+0.0338462
+0.0352136
+0.0366609
+0.0381783
+0.0397565
+0.0401656
+0.0405272
+0.0410028
+0.0415885
+0.0422623
+0.0430267
+0.043872
+0.0448019
+0.0457032
+0.04669
+0.0477569
+0.0488988
+0.0501104
+0.051387
+0.0527236
+0.0541014
+0.0555208
+0.0569568
+0.0584396
+0.0599617
+0.0614998
+0.0630764
+0.0646889
+0.0663345
+0.0680109
+0.0697157
+0.0714471
+0.0732031
+0.074982
+0.0767822
+0.0786022
+0.0804407
+0.0822964
+0.0841683
+0.0860551
+0.0869566
+0.0875807
+0.0882547
+0.0889776
+0.0897482
+0.0905651
+0.0914273
+0.0922066
+0.0927247
+0.0932914
+0.0939058
+0.0945669
+0.0952739
+0.0960217
+0.0838657
+0.0818081
+0.0797576
+0.0777105
+0.0756713
+0.0736407
+0.0716196
+0.0696071
+0.0676027
+0.0656103
+0.0636309
+0.0616658
+0.0597164
+0.0577843
+0.0558712
+0.0539793
+0.0521108
+0.0502683
+0.0484548
+0.0466737
+0.0449288
+0.0432245
+0.0415642
+0.0399415
+0.0383752
+0.0368726
+0.0354417
+0.0340917
+0.0328325
+0.0316748
+0.0306304
+0.0297109
+0.0289006
+0.028234
+0.0277248
+0.027382
+0.0272118
+0.0272174
+0.0273988
+0.0277524
+0.0282718
+0.0289481
+0.0297706
+0.0307008
+0.0317517
+0.0329151
+0.0341795
+0.035534
+0.0369688
+0.0377474
+0.0379034
+0.0381756
+0.0385558
+0.0390554
+0.0396627
+0.0403639
+0.0411521
+0.0420083
+0.0429505
+0.0438998
+0.0449262
+0.046034
+0.0472176
+0.0484713
+0.0497898
+0.0511683
+0.0525523
+0.0539783
+0.0554458
+0.0569373
+0.0584729
+0.0600491
+0.0616629
+0.0633113
+0.0649918
+0.0667019
+0.0684395
+0.0702023
+0.0719887
+0.0737969
+0.0756252
+0.0774724
+0.0793371
+0.0812181
+0.0831142
+0.0849987
+0.0858214
+0.0864536
+0.0871363
+0.0878684
+0.0886485
+0.0894755
+0.090348
+0.0910937
+0.0916206
+0.0921966
+0.0928203
+0.0934821
+0.0941898
+0.0949428
+0.0840337
+0.0819803
+0.0799342
+0.0778918
+0.0758574
+0.073832
+0.0718163
+0.0698111
+0.0678174
+0.0658362
+0.0638667
+0.0619091
+0.0599676
+0.0580438
+0.0561396
+0.0542571
+0.0523985
+0.0505665
+0.0487641
+0.0469947
+0.0452621
+0.0435709
+0.0419259
+0.0403329
+0.0387888
+0.0373028
+0.0358892
+0.0345566
+0.033315
+0.0321747
+0.031147
+0.0302433
+0.0294476
+0.0287936
+0.0282946
+0.0279587
+0.0277921
+0.0277975
+0.0279751
+0.0283215
+0.0288307
+0.0294942
+0.0303019
+0.0312219
+0.0322559
+0.0334017
+0.0346483
+0.035806
+0.0357262
+0.035757
+0.0359216
+0.0362087
+0.0366094
+0.0371326
+0.0377292
+0.0384415
+0.0392494
+0.0401368
+0.0411184
+0.0421332
+0.0432015
+0.0443525
+0.0455627
+0.0468429
+0.0481888
+0.0495949
+0.0510006
+0.0524355
+0.0539213
+0.0554539
+0.0570294
+0.0586444
+0.0602958
+0.0619806
+0.0636962
+0.0654402
+0.0672104
+0.0690046
+0.0708212
+0.0726584
+0.0745148
+0.0763888
+0.0782665
+0.0801445
+0.082038
+0.0839459
+0.0847243
+0.0853647
+0.086056
+0.0867971
+0.0875868
+0.0884237
+0.0893066
+0.0900193
+0.0905525
+0.0911348
+0.0917565
+0.0924255
+0.0931413
+0.0939027
+0.0842519
+0.0822068
+0.0801694
+0.0781341
+0.0761062
+0.0740876
+0.072079
+0.0700813
+0.0680955
+0.0661227
+0.064164
+0.0622208
+0.0602945
+0.0583845
+0.0564918
+0.0546213
+0.0527756
+0.0509571
+0.049169
+0.0474148
+0.0456982
+0.0440237
+0.0423963
+0.0408216
+0.0393058
+0.0378417
+0.0364496
+0.035139
+0.0339194
+0.0328009
+0.0317942
+0.0309102
+0.0301442
+0.0295057
+0.0290189
+0.0286915
+0.0285291
+0.0285345
+0.0287075
+0.0290452
+0.0295419
+0.0301898
+0.0309793
+0.0318802
+0.0328968
+0.0340227
+0.0340116
+0.0338344
+0.0337578
+0.0337913
+0.0339655
+0.034269
+0.0346544
+0.0351566
+0.0357862
+0.0365332
+0.0373678
+0.038291
+0.0392983
+0.0403263
+0.0414405
+0.0426325
+0.0438889
+0.0452165
+0.0466093
+0.0480115
+0.0494361
+0.0509152
+0.0524441
+0.0540185
+0.0556347
+0.0572891
+0.0589784
+0.0606998
+0.0624506
+0.0642285
+0.0660311
+0.0678565
+0.0697031
+0.071569
+0.0734247
+0.075296
+0.0771841
+0.0790877
+0.0810059
+0.082922
+0.0836702
+0.0843185
+0.0850184
+0.0857685
+0.0865676
+0.0874142
+0.0882777
+0.0889554
+0.0895249
+0.0901045
+0.0907328
+0.0914093
+0.0921308
+0.0928725
+0.0845195
+0.0824834
+0.080453
+0.0784312
+0.076417
+0.0744068
+0.0724071
+0.0704187
+0.0684427
+0.0664802
+0.0645323
+0.0626005
+0.0606863
+0.0587914
+0.0569178
+0.0550675
+0.0532402
+0.0514382
+0.0496674
+0.0479314
+0.046234
+0.0445796
+0.0429733
+0.0414205
+0.0399275
+0.0384871
+0.0371192
+0.0358331
+0.0346379
+0.0335434
+0.0325596
+0.031697
+0.0309656
+0.0303595
+0.0298866
+0.0295689
+0.0294113
+0.0294165
+0.0295843
+0.0299121
+0.0303947
+0.0310247
+0.0317936
+0.032672
+0.0327878
+0.0323734
+0.0320545
+0.0318553
+0.031798
+0.0318551
+0.0320132
+0.0322834
+0.0326754
+0.0332076
+0.0338734
+0.034643
+0.0355087
+0.0364775
+0.0374829
+0.0385549
+0.0397189
+0.0409561
+0.0422623
+0.0436394
+0.0450371
+0.0464497
+0.0479208
+0.0494452
+0.0510181
+0.0526352
+0.0542926
+0.0559867
+0.0577142
+0.0594722
+0.0612581
+0.0630695
+0.0649043
+0.0667474
+0.068591
+0.0704544
+0.0723362
+0.0742349
+0.0761493
+0.0780766
+0.0799305
+0.081801
+0.0825491
+0.0832508
+0.0840004
+0.0847486
+0.0855462
+0.0863564
+0.087151
+0.0878374
+0.088489
+0.0890954
+0.0897158
+0.0903691
+0.0910704
+0.0918186
+0.0848341
+0.082806
+0.0807863
+0.0787758
+0.0767751
+0.0747851
+0.0727996
+0.0708223
+0.0688579
+0.0669075
+0.0649725
+0.0630541
+0.0611541
+0.0592742
+0.0574163
+0.0555826
+0.0537757
+0.0519983
+0.0502535
+0.0485415
+0.0468662
+0.0452349
+0.0436527
+0.042125
+0.0406578
+0.0392443
+0.0379037
+0.0366452
+0.0354773
+0.0344095
+0.0334512
+0.0326122
+0.0319018
+0.0313287
+0.0308856
+0.0305782
+0.0304259
+0.0304309
+0.0305932
+0.0309103
+0.0313775
+0.0319882
+0.0321888
+0.0315003
+0.0309139
+0.0304634
+0.030117
+0.0299057
+0.0298447
+0.0298938
+0.0300294
+0.030308
+0.0307252
+0.0312906
+0.0319812
+0.0327831
+0.0336879
+0.0346614
+0.0357021
+0.036826
+0.0380429
+0.0393302
+0.0406887
+0.0420806
+0.0434789
+0.0449404
+0.0464593
+0.0480301
+0.0496479
+0.0513083
+0.0530071
+0.054741
+0.0565066
+0.058301
+0.0601217
+0.061935
+0.0637671
+0.0656213
+0.0674956
+0.0693884
+0.0712983
+0.0732239
+0.0750837
+0.0769473
+0.0788278
+0.0807239
+0.0814038
+0.0821151
+0.0828287
+0.0835873
+0.0843959
+0.0852532
+0.0860654
+0.0867603
+0.0874214
+0.0880097
+0.0886301
+0.0892914
+0.0900011
+0.0907581
+0.085204
+0.0831848
+0.0811746
+0.0791739
+0.0771836
+0.0752044
+0.0732372
+0.0712831
+0.0693398
+0.0674033
+0.065483
+0.0635801
+0.0616962
+0.0598333
+0.0579933
+0.0561785
+0.0543914
+0.0526348
+0.0509118
+0.049226
+0.0475814
+0.0459824
+0.0444299
+0.0429298
+0.0414912
+0.040107
+0.0387962
+0.0375676
+0.0364293
+0.0353903
+0.0344593
+0.0336454
+0.0329572
+0.0324028
+0.0319879
+0.0316913
+0.0315443
+0.0315492
+0.0317057
+0.0320118
+0.0321461
+0.031218
+0.0304035
+0.0296974
+0.0290769
+0.0285829
+0.0282134
+0.0279918
+0.0279266
+0.0279288
+0.0280738
+0.0283642
+0.0288096
+0.029405
+0.0301241
+0.030957
+0.0318912
+0.0328819
+0.0339667
+0.0351461
+0.0364191
+0.0377597
+0.0391313
+0.0405271
+0.0419771
+0.0434891
+0.045057
+0.046675
+0.0483382
+0.050042
+0.0517825
+0.053556
+0.0553457
+0.0571371
+0.0589556
+0.0607986
+0.062664
+0.0645498
+0.0664543
+0.068376
+0.0702441
+0.0720997
+0.0739737
+0.0758645
+0.0777712
+0.0796064
+0.0802741
+0.0809818
+0.0816988
+0.0824678
+0.0832874
+0.0841559
+0.0850223
+0.0857257
+0.0863365
+0.0869368
+0.0875853
+0.0882549
+0.0889728
+0.0897386
+0.0855013
+0.0835094
+0.0815277
+0.0795569
+0.0775979
+0.0756517
+0.0737191
+0.0717897
+0.0698638
+0.067954
+0.0660615
+0.0641765
+0.0623107
+0.0604667
+0.0586466
+0.0568526
+0.0550874
+0.0533537
+0.0516547
+0.049994
+0.0483755
+0.0468036
+0.0452831
+0.0438195
+0.0424185
+0.0410685
+0.0397894
+0.0385924
+0.0374853
+0.0364763
+0.0355738
+0.034786
+0.0341208
+0.0335857
+0.0331868
+0.0329077
+0.0327662
+0.0327709
+0.0327347
+0.0315742
+0.0304933
+0.02953
+0.028653
+0.0278835
+0.0272216
+0.0267234
+0.0263545
+0.0261215
+0.0260249
+0.0259965
+0.0261522
+0.026459
+0.0269359
+0.0275484
+0.0283018
+0.0291753
+0.0300957
+0.0311433
+0.0322866
+0.0335252
+0.0348556
+0.0361987
+0.0375987
+0.0390347
+0.0405381
+0.0421019
+0.0437195
+0.0453853
+0.047094
+0.0488412
+0.050587
+0.052358
+0.0541597
+0.0559891
+0.0578437
+0.059721
+0.061619
+0.0635358
+0.0654134
+0.0672595
+0.0691258
+0.0710106
+0.0729125
+0.0748302
+0.0767615
+0.0785032
+0.0791802
+0.0798779
+0.0806048
+0.0813843
+0.0822127
+0.0830814
+0.0839982
+0.0847351
+0.085294
+0.0859017
+0.0865605
+0.0872567
+0.0879762
+0.0885811
+0.0858395
+0.0838556
+0.0818823
+0.0799202
+0.0779704
+0.0760337
+0.0741111
+0.0722038
+0.070313
+0.0684401
+0.0665866
+0.0647542
+0.0629446
+0.0611599
+0.0593735
+0.0576022
+0.0558607
+0.0541517
+0.0524786
+0.0508448
+0.0492542
+0.0477113
+0.0462207
+0.0447877
+0.043418
+0.0421128
+0.0408665
+0.039702
+0.0386267
+0.0376483
+0.0367745
+0.036013
+0.0353709
+0.0348549
+0.0344707
+0.0342213
+0.0339674
+0.0325771
+0.0312614
+0.030044
+0.0289074
+0.0278791
+0.0269231
+0.0261134
+0.0254132
+0.0248788
+0.0244773
+0.024196
+0.0240636
+0.0241084
+0.0242756
+0.0246014
+0.0250912
+0.0257438
+0.026496
+0.0273443
+0.0283243
+0.029435
+0.0306622
+0.0319713
+0.0332906
+0.0346839
+0.0361182
+0.0376108
+0.0391689
+0.0407852
+0.0424463
+0.0441457
+0.0458578
+0.0476031
+0.0493839
+0.0511965
+0.0530377
+0.0549045
+0.0567945
+0.0587054
+0.0605935
+0.0624284
+0.0642856
+0.0661633
+0.0680596
+0.0699732
+0.0719018
+0.0738393
+0.0757906
+0.0774372
+0.0781177
+0.078814
+0.0795389
+0.0803171
+0.0811469
+0.0820269
+0.0829554
+0.0837063
+0.0842684
+0.0848833
+0.0855303
+0.0861938
+0.0867829
+0.0873912
+0.0862318
+0.0842574
+0.0822937
+0.0803417
+0.0784023
+0.0764766
+0.0745654
+0.07267
+0.0707917
+0.0689318
+0.0670908
+0.0652685
+0.0634694
+0.0616956
+0.0599494
+0.0582333
+0.05655
+0.0549025
+0.0532941
+0.0517285
+0.0502097
+0.0486985
+0.0472396
+0.0458391
+0.0445024
+0.0432338
+0.0420207
+0.0408891
+0.0398459
+0.0388981
+0.0380531
+0.0373176
+0.0366984
+0.0362014
+0.0357434
+0.0341714
+0.0326492
+0.031188
+0.0298012
+0.0285153
+0.0273447
+0.0262586
+0.0252648
+0.0244001
+0.0236528
+0.0230523
+0.022589
+0.0222785
+0.0221374
+0.0221879
+0.0224524
+0.0227907
+0.0233029
+0.0239116
+0.024675
+0.02557
+0.0266154
+0.0277851
+0.0290582
+0.030403
+0.0317494
+0.0331859
+0.0346909
+0.0362247
+0.0378232
+0.0394785
+0.0411681
+0.0428805
+0.0446347
+0.046426
+0.0482503
+0.0501039
+0.0519838
+0.0538872
+0.0557873
+0.0576087
+0.059455
+0.061324
+0.0632137
+0.0651223
+0.0670476
+0.0689823
+0.0709319
+0.0728952
+0.0748711
+0.0763617
+0.0770455
+0.0777586
+0.0784933
+0.0792818
+0.0801224
+0.0810136
+0.0819537
+0.0826637
+0.0831771
+0.0837447
+0.0843653
+0.0850379
+0.0856269
+0.0862406
+0.0866599
+0.0846953
+0.082742
+0.0808009
+0.0788729
+0.076959
+0.0750601
+0.0731776
+0.0713127
+0.0694668
+0.0676415
+0.0658385
+0.0640597
+0.0623028
+0.0605741
+0.0588762
+0.0572118
+0.0555839
+0.0539958
+0.0524511
+0.0509539
+0.0495083
+0.048119
+0.0467912
+0.04553
+0.0443413
+0.043228
+0.0421567
+0.0411456
+0.0402285
+0.039412
+0.0387024
+0.0379954
+0.0362567
+0.0345694
+0.0329414
+0.0313531
+0.0298366
+0.0283838
+0.0270306
+0.0257928
+0.024667
+0.0236357
+0.0227149
+0.0219398
+0.0212672
+0.0207487
+0.0204156
+0.0202579
+0.020313
+0.0205447
+0.0209571
+0.0214517
+0.0220874
+0.0229036
+0.0238649
+0.0249604
+0.0261876
+0.0275109
+0.0288491
+0.0302647
+0.031754
+0.0332789
+0.0348748
+0.0365324
+0.0382023
+0.0399216
+0.0416852
+0.0434877
+0.0453243
+0.0471912
+0.0490849
+0.0509986
+0.0528035
+0.0546365
+0.0564951
+0.0583766
+0.0602791
+0.0622005
+0.0641318
+0.0660792
+0.0680414
+0.0700172
+0.0720054
+0.0740051
+0.0753283
+0.0760213
+0.0767439
+0.0774883
+0.0782869
+0.0791381
+0.0800402
+0.0809915
+0.0815104
+0.082031
+0.0826065
+0.0832357
+0.0839173
+0.084509
+0.0851233
+0.0868722
+0.085184
+0.0832422
+0.0813131
+0.0793975
+0.0774965
+0.0756112
+0.0737428
+0.0718925
+0.0700619
+0.0682525
+0.0664661
+0.0647045
+0.0629699
+0.0612645
+0.0595908
+0.0579489
+0.0563423
+0.0547762
+0.0532542
+0.0517801
+0.0503583
+0.0489931
+0.0476896
+0.0464528
+0.0452841
+0.0441904
+0.0431803
+0.0422597
+0.0414346
+0.0406502
+0.0388189
+0.0369998
+0.0352134
+0.0334752
+0.0317929
+0.0301477
+0.0285721
+0.0270698
+0.0256474
+0.0243392
+0.0231473
+0.0220456
+0.0210684
+0.0202392
+0.0195473
+0.0189816
+0.0185974
+0.0184205
+0.0184595
+0.018686
+0.0190737
+0.0195885
+0.0203107
+0.0211646
+0.0222026
+0.0233751
+0.0246289
+0.025975
+0.0273824
+0.0288391
+0.0303523
+0.0319442
+0.0335869
+0.0352592
+0.0369856
+0.038759
+0.0405731
+0.0424228
+0.0443037
+0.0462102
+0.0480171
+0.0498336
+0.0516792
+0.0535507
+0.0554457
+0.0573617
+0.0592891
+0.0612338
+0.0631946
+0.06517
+0.0671588
+0.0691598
+0.071172
+0.0731944
+0.074345
+0.0750471
+0.075779
+0.0765327
+0.0773412
+0.0782027
+0.0790988
+0.079929
+0.0804002
+0.080928
+0.0815112
+0.0821488
+0.0828394
+0.0834135
+0.0840312
+0.0858098
+0.0848485
+0.0837968
+0.0818807
+0.0799787
+0.0780919
+0.0762213
+0.0743681
+0.0725339
+0.0707199
+0.0689278
+0.0671593
+0.0654164
+0.0637011
+0.0620158
+0.060363
+0.0587454
+0.0571659
+0.0556279
+0.054134
+0.0526845
+0.0512878
+0.0499451
+0.0486607
+0.0474428
+0.0462965
+0.0452273
+0.0442409
+0.0433428
+0.0417198
+0.0398172
+0.0379457
+0.0361093
+0.0342766
+0.0324883
+0.0307388
+0.0290307
+0.0273913
+0.0258338
+0.0243739
+0.0229812
+0.0216927
+0.0205098
+0.0194552
+0.0185943
+0.0179005
+0.0173105
+0.0168636
+0.0166335
+0.0166652
+0.0168724
+0.0172266
+0.0177958
+0.0185864
+0.0195159
+0.0206091
+0.0217731
+0.0230725
+0.0244821
+0.0259615
+0.0274585
+0.0290437
+0.0306704
+0.032345
+0.0340783
+0.0358616
+0.0376879
+0.0395512
+0.0414264
+0.0432559
+0.0450513
+0.0468804
+0.0487393
+0.0506247
+0.0525338
+0.0544563
+0.0563975
+0.0583563
+0.0603311
+0.0623203
+0.0643226
+0.0663368
+0.0683619
+0.070327
+0.0722511
+0.0734139
+0.0741227
+0.07484
+0.0756139
+0.0764428
+0.077277
+0.0781531
+0.0788575
+0.079335
+0.0798698
+0.0804607
+0.0811065
+0.0817854
+0.082357
+0.0829826
+0.0847876
+0.0838145
+0.0828852
+0.0820038
+0.0806153
+0.0787437
+0.0768889
+0.0750523
+0.0732352
+0.071439
+0.0696654
+0.0679161
+0.0661931
+0.0644985
+0.0628346
+0.0612027
+0.0596066
+0.0580494
+0.0565341
+0.0550643
+0.0536438
+0.0522721
+0.0509562
+0.0497
+0.0485082
+0.0473877
+0.0463437
+0.0449522
+0.0429768
+0.0410233
+0.0390891
+0.0371804
+0.0352986
+0.0334121
+0.0315649
+0.0297644
+0.0280157
+0.0263129
+0.024687
+0.0231301
+0.0216649
+0.0203145
+0.0190474
+0.0179502
+0.0169905
+0.0162172
+0.0156163
+0.0151247
+0.0148694
+0.0148631
+0.0150674
+0.0154692
+0.0160914
+0.0168709
+0.0178432
+0.0189562
+0.0202038
+0.0215784
+0.0230794
+0.0246145
+0.0261886
+0.0277931
+0.0294684
+0.0312076
+0.0330007
+0.0348345
+0.0366721
+0.0385291
+0.0402969
+0.0421046
+0.0439471
+0.0458202
+0.0477205
+0.0496365
+0.051573
+0.0535291
+0.0555027
+0.057492
+0.0594955
+0.0615117
+0.0635351
+0.0654789
+0.0674137
+0.0693468
+0.0712907
+0.0725367
+0.073204
+0.0739301
+0.0747134
+0.0755383
+0.0763716
+0.0772579
+0.0778328
+0.0783166
+0.0788583
+0.0794567
+0.080109
+0.0807643
+0.0813432
+0.0819739
+0.0838101
+0.0828256
+0.0818851
+0.0809928
+0.0801502
+0.0793556
+0.0775774
+0.0757585
+0.0739598
+0.0721826
+0.0704277
+0.068697
+0.0669931
+0.0653181
+0.0636745
+0.0620601
+0.0604817
+0.0589424
+0.0574455
+0.0559943
+0.0545925
+0.0532439
+0.0519527
+0.0507232
+0.0495602
+0.0484478
+0.0464145
+0.0443961
+0.0423948
+0.0404131
+0.0384508
+0.0365078
+0.0345876
+0.03266
+0.0307677
+0.0289176
+0.0271182
+0.0253507
+0.0236416
+0.0220013
+0.0204556
+0.0190369
+0.0176876
+0.0165038
+0.0154818
+0.0146483
+0.0139774
+0.0135144
+0.0131932
+0.0130892
+0.0133201
+0.0137218
+0.0143364
+0.0152052
+0.0162109
+0.0173846
+0.018737
+0.0201891
+0.0217281
+0.0233693
+0.0249688
+0.0266416
+0.028379
+0.0301423
+0.0319585
+0.0337672
+0.0355817
+0.0373606
+0.0391812
+0.041038
+0.0429263
+0.0448338
+0.0467639
+0.048716
+0.0506877
+0.0526766
+0.054681
+0.0566834
+0.0586811
+0.060639
+0.0625745
+0.0645148
+0.0664554
+0.0684094
+0.0703686
+0.0716548
+0.0723317
+0.073068
+0.073862
+0.0746706
+0.0755134
+0.0764097
+0.0768525
+0.0773424
+0.0778909
+0.0784967
+0.0791559
+0.0797841
+0.0803674
+0.0809969
+0.0828791
+0.0818834
+0.0809319
+0.080029
+0.0791762
+0.0783716
+0.0776206
+0.0765072
+0.0747265
+0.0729682
+0.0712338
+0.0695216
+0.0678339
+0.0661757
+0.0645493
+0.062957
+0.0614017
+0.0598861
+0.0584134
+0.0569869
+0.05561
+0.0542867
+0.0530209
+0.0518168
+0.0500938
+0.0480323
+0.0459805
+0.0439422
+0.0419058
+0.0398811
+0.0378749
+0.0358902
+0.033931
+0.0320017
+0.0301083
+0.0282158
+0.0263447
+0.0245094
+0.0227371
+0.0210259
+0.0193966
+0.0178544
+0.0164492
+0.0151764
+0.0140711
+0.0131522
+0.0124099
+0.0118749
+0.0114755
+0.0113773
+0.0115172
+0.0119517
+0.0127173
+0.0136036
+0.0146718
+0.0159568
+0.0173599
+0.0188753
+0.020513
+0.0221185
+0.0237795
+0.0255144
+0.0272274
+0.0289968
+0.0308203
+0.0326622
+0.0344525
+0.0362868
+0.0381587
+0.0400543
+0.0419755
+0.0439219
+0.0458904
+0.0478781
+0.0498526
+0.0518358
+0.0538351
+0.0558093
+0.0577404
+0.0596895
+0.0616301
+0.0635814
+0.0655469
+0.0675089
+0.0694846
+0.0708183
+0.0715032
+0.072248
+0.0730509
+0.073857
+0.0747089
+0.0754862
+0.0759217
+0.0764176
+0.0769727
+0.0775857
+0.0782526
+0.07885
+0.0794311
+0.0800679
+0.0819913
+0.0809895
+0.0800274
+0.0791142
+0.0782514
+0.0774372
+0.076677
+0.0759723
+0.0753248
+0.0738065
+0.072086
+0.0703916
+0.0687253
+0.0670892
+0.0654854
+0.0639165
+0.0623851
+0.060894
+0.0594463
+0.0580451
+0.056694
+0.0553966
+0.0539281
+0.0518354
+0.0497512
+0.0476766
+0.0456072
+0.0435342
+0.0414733
+0.0394264
+0.0373958
+0.0353843
+0.0333953
+0.0314332
+0.0294724
+0.0275456
+0.0256612
+0.0238102
+0.0219486
+0.0201533
+0.0184436
+0.0168456
+0.0153623
+0.0140179
+0.012802
+0.0117845
+0.0110009
+0.0103159
+0.00987747
+0.00972418
+0.00983411
+0.0103334
+0.0111834
+0.01213
+0.0133138
+0.0146389
+0.0160956
+0.0176333
+0.0191827
+0.0208474
+0.0225634
+0.0242774
+0.0260551
+0.0278901
+0.0297732
+0.0315807
+0.033429
+0.0353074
+0.0372157
+0.0391536
+0.0411129
+0.0430528
+0.0450157
+0.0469988
+0.0489995
+0.0509927
+0.0529182
+0.0548636
+0.0568172
+0.0587651
+0.0607295
+0.0626968
+0.0646712
+0.066659
+0.0686592
+0.0699872
+0.07068
+0.0714334
+0.0722278
+0.0730331
+0.0738946
+0.0746027
+0.0750434
+0.0755451
+0.0761065
+0.0767264
+0.0774007
+0.0779571
+0.0785447
+0.0791887
+0.0810208
+0.0800644
+0.0791457
+0.07825
+0.0773775
+0.0765541
+0.075785
+0.075072
+0.0744166
+0.0738205
+0.0729824
+0.0713105
+0.0696675
+0.0680553
+0.0664762
+0.0649327
+0.0634272
+0.0619627
+0.0605409
+0.0591656
+0.0578396
+0.0558082
+0.0536994
+0.0515975
+0.0495033
+0.0474041
+0.0453071
+0.0432195
+0.0411426
+0.0390781
+0.0370281
+0.0349951
+0.0329824
+0.0309779
+0.0289857
+0.0270242
+0.0251007
+0.0232245
+0.0213274
+0.0194714
+0.0176867
+0.0159854
+0.0144048
+0.0129646
+0.0116756
+0.0105805
+0.00967878
+0.00894028
+0.00840202
+0.00819045
+0.00833941
+0.00890992
+0.0097206
+0.010833
+0.0119739
+0.0133622
+0.0147808
+0.016307
+0.0179711
+0.0196221
+0.0213396
+0.0231337
+0.0249912
+0.0268988
+0.0287558
+0.0306083
+0.0324972
+0.0343993
+0.0363014
+0.0382343
+0.0401938
+0.0421759
+0.0441778
+0.0461648
+0.0481114
+0.0500519
+0.0520123
+0.0539635
+0.055925
+0.0578993
+0.0598715
+0.0618584
+0.0638586
+0.0658596
+0.067857
+0.0692102
+0.0699108
+0.0706655
+0.071432
+0.0722461
+0.0731169
+0.0737738
+0.0742194
+0.0747266
+0.0752941
+0.0759206
+0.07658
+0.077116
+0.07771
+0.0783608
+0.0800979
+0.0791353
+0.0782128
+0.0773341
+0.0765081
+0.075724
+0.0749464
+0.0742254
+0.0735625
+0.0729594
+0.0724176
+0.0719384
+0.0706586
+0.0690695
+0.0675142
+0.0659949
+0.0645143
+0.0630749
+0.0616799
+0.059865
+0.0577421
+0.0556244
+0.0535127
+0.0514075
+0.0493096
+0.0472022
+0.0450952
+0.0429932
+0.0409004
+0.0388185
+0.0367371
+0.0346659
+0.0326103
+0.0305735
+0.0285595
+0.0265726
+0.0246138
+0.0226975
+0.0207948
+0.0188865
+0.0170463
+0.0152987
+0.0136716
+0.0121515
+0.0107752
+0.00951418
+0.00846652
+0.00767588
+0.00704403
+0.0067692
+0.00690645
+0.0074937
+0.00838438
+0.00955007
+0.0107355
+0.0120475
+0.0135298
+0.0151137
+0.0167296
+0.0184519
+0.0202648
+0.0221462
+0.0240598
+0.0258776
+0.027739
+0.0296313
+0.0315166
+0.0334391
+0.0353928
+0.0373728
+0.0393751
+0.0413489
+0.0433249
+0.0452589
+0.0472147
+0.0491811
+0.0511383
+0.0531137
+0.0550892
+0.0570744
+0.0590741
+0.0610684
+0.0630674
+0.0650787
+0.0670854
+0.0684945
+0.0691953
+0.0699249
+0.0706949
+0.0715174
+0.0723969
+0.0730011
+0.0734514
+0.0739639
+0.0745372
+0.0751701
+0.075787
+0.0763286
+0.0769287
+0.077586
+0.0792248
+0.0782515
+0.077321
+0.0764321
+0.0755962
+0.0748152
+0.0740907
+0.0734244
+0.0727643
+0.0721545
+0.0716066
+0.071122
+0.0707019
+0.0699871
+0.0684482
+0.0669456
+0.0654819
+0.0640243
+0.061889
+0.0597577
+0.0576308
+0.0555089
+0.0533926
+0.0512825
+0.0491544
+0.0470297
+0.0449113
+0.0428002
+0.0406976
+0.0386047
+0.0365112
+0.0344264
+0.0323555
+0.0303016
+0.0282682
+0.0262593
+0.0242752
+0.0223299
+0.0204342
+0.0184983
+0.0166083
+0.0147801
+0.0130473
+0.0114018
+0.00987546
+0.00855551
+0.00739403
+0.00652317
+0.00583489
+0.00553286
+0.00562235
+0.00623709
+0.00726537
+0.00833345
+0.00947286
+0.010922
+0.0123332
+0.01392
+0.0156449
+0.0174744
+0.0193552
+0.021173
+0.0229978
+0.0248817
+0.026773
+0.0286788
+0.0306228
+0.0325981
+0.0345884
+0.0365551
+0.0385311
+0.040491
+0.0424389
+0.0444016
+0.046375
+0.0483465
+0.0503293
+0.0523117
+0.05431
+0.0562956
+0.0582936
+0.060305
+0.0623284
+0.0643499
+0.0663771
+0.0678349
+0.0685089
+0.0692389
+0.07001
+0.0708405
+0.0717283
+0.0722867
+0.0727414
+0.0732588
+0.0738376
+0.0744764
+0.0750496
+0.0755964
+0.0762023
+0.0768659
+0.0784033
+0.0774196
+0.0764791
+0.0755803
+0.0747349
+0.0739448
+0.0732116
+0.0725373
+0.0719234
+0.0713702
+0.0708541
+0.0703643
+0.0699397
+0.0695815
+0.0692742
+0.0678444
+0.0661388
+0.063999
+0.0618628
+0.0597306
+0.0576027
+0.0554797
+0.0533547
+0.0512168
+0.0490836
+0.0469557
+0.0448338
+0.0427189
+0.040612
+0.0385128
+0.0364115
+0.0343215
+0.0322448
+0.0301843
+0.0281432
+0.0261256
+0.0241165
+0.0221221
+0.0201676
+0.0182379
+0.0163408
+0.0144969
+0.0126534
+0.010914
+0.00925697
+0.00778933
+0.00661185
+0.00554454
+0.00481073
+0.00443912
+0.00453389
+0.0051744
+0.0061689
+0.00723225
+0.00843635
+0.00973554
+0.0112628
+0.0129282
+0.0147233
+0.0165809
+0.0183394
+0.0201827
+0.0220895
+0.0239743
+0.0259008
+0.0278664
+0.0298343
+0.0317928
+0.0337674
+0.0357515
+0.0376932
+0.0396486
+0.0416275
+0.0436084
+0.0455943
+0.0475765
+0.0495668
+0.0515463
+0.0535423
+0.055553
+0.0575767
+0.0596123
+0.0616488
+0.0636823
+0.0657213
+0.067206
+0.0678863
+0.0686093
+0.0693875
+0.0702253
+0.0711208
+0.0716321
+0.0720909
+0.072613
+0.0731969
+0.0738413
+0.0743694
+0.0749212
+0.0755325
+0.0762006
+0.0776349
+0.0766414
+0.0756913
+0.074783
+0.0739285
+0.0731296
+0.0723883
+0.0717062
+0.0710851
+0.0705267
+0.070031
+0.0695889
+0.0692132
+0.0688599
+0.068539
+0.0682869
+0.0661868
+0.0640487
+0.0619142
+0.0597838
+0.0576579
+0.0555205
+0.0533795
+0.0512426
+0.0491105
+0.0469824
+0.0448557
+0.0427354
+0.0406226
+0.0385185
+0.0364224
+0.0343329
+0.0322474
+0.0301756
+0.02811
+0.0260522
+0.024018
+0.0220139
+0.0200488
+0.0180911
+0.0161798
+0.0143312
+0.0124554
+0.0106237
+0.00895488
+0.00737637
+0.00599535
+0.00485459
+0.00401462
+0.00355269
+0.00364981
+0.00423541
+0.0051718
+0.00618555
+0.00731114
+0.00868293
+0.0103091
+0.0121088
+0.0138455
+0.0156047
+0.0174466
+0.0193261
+0.0212412
+0.0232019
+0.0251358
+0.0270749
+0.0290417
+0.0310251
+0.0329922
+0.034936
+0.0369075
+0.0389024
+0.0408894
+0.042878
+0.0448541
+0.0468279
+0.0488202
+0.0508288
+0.0528518
+0.0548878
+0.0569352
+0.05897
+0.0610091
+0.0630585
+0.065117
+0.0666432
+0.0673222
+0.0680445
+0.068829
+0.0696736
+0.0705761
+0.0710391
+0.0715017
+0.0720281
+0.0726167
+0.073253
+0.0737481
+0.0743045
+0.0749194
+0.075582
+0.0769167
+0.0759184
+0.0749593
+0.074042
+0.0731788
+0.0723717
+0.0716225
+0.0709331
+0.0703051
+0.0697404
+0.0692404
+0.0688052
+0.0684254
+0.0681138
+0.0678666
+0.067612
+0.066307
+0.0641731
+0.0620429
+0.0599111
+0.0577619
+0.0556159
+0.0534736
+0.0513353
+0.0492016
+0.0470731
+0.0449507
+0.0428351
+0.0407275
+0.0386203
+0.0365195
+0.0344299
+0.032348
+0.0302662
+0.0281956
+0.0261446
+0.0241182
+0.0221163
+0.0201304
+0.018159
+0.0161959
+0.014299
+0.0124986
+0.0106612
+0.00889154
+0.00726713
+0.00576045
+0.00454313
+0.00358686
+0.00299433
+0.00295238
+0.0035765
+0.00443255
+0.00527542
+0.00643934
+0.00796887
+0.00962306
+0.01119
+0.0129393
+0.0147461
+0.0166421
+0.0185755
+0.020524
+0.0224327
+0.0243803
+0.0263589
+0.0283563
+0.0302824
+0.0322407
+0.0342272
+0.0362359
+0.0382281
+0.0401859
+0.0421505
+0.0441365
+0.046141
+0.0481617
+0.0501966
+0.0522442
+0.0542906
+0.0563288
+0.058378
+0.0604372
+0.0624805
+0.0645184
+0.0661483
+0.0668183
+0.0675461
+0.0683363
+0.0691869
+0.0699001
+0.0705092
+0.0709753
+0.0715055
+0.0720984
+0.0726882
+0.0731871
+0.0737462
+0.0743548
+0.0750223
+0.0762485
+0.0752441
+0.0742847
+0.0733589
+0.0724876
+0.0716727
+0.0709161
+0.0702198
+0.0695854
+0.0690148
+0.0685095
+0.068071
+0.067697
+0.067382
+0.067137
+0.0669628
+0.0664156
+0.0642937
+0.0621765
+0.0600623
+0.0579186
+0.0557787
+0.0536428
+0.0515115
+0.0493855
+0.0472653
+0.0451519
+0.0430383
+0.0409298
+0.0388304
+0.0367386
+0.0346478
+0.0325701
+0.0304885
+0.0284123
+0.0263546
+0.0243202
+0.0223154
+0.0203437
+0.0183548
+0.0164152
+0.014547
+0.0127117
+0.0109193
+0.0091554
+0.0074816
+0.00598174
+0.00462211
+0.00351408
+0.00277432
+0.00252544
+0.00302097
+0.00382626
+0.00466522
+0.00598174
+0.00732482
+0.00875266
+0.0104255
+0.0122355
+0.0141245
+0.0160242
+0.0179269
+0.0198259
+0.0217713
+0.0237596
+0.0257199
+0.0276543
+0.0296243
+0.0316235
+0.0336226
+0.0355796
+0.0375297
+0.0395049
+0.0415019
+0.0435174
+0.0455491
+0.0475949
+0.0496494
+0.0516888
+0.0537364
+0.0557948
+0.0578434
+0.0598789
+0.0619249
+0.0639805
+0.0657155
+0.066383
+0.0671154
+0.0679107
+0.0685846
+0.0692605
+0.0699984
+0.070513
+0.0710466
+0.0716433
+0.0721854
+0.0726863
+0.0732381
+0.0738508
+0.0745228
+0.0756304
+0.0746252
+0.0736525
+0.0727315
+0.0718566
+0.0710344
+0.070271
+0.0695681
+0.0689278
+0.0683517
+0.0678415
+0.0673987
+0.0670208
+0.0667026
+0.0664552
+0.0662792
+0.0661754
+0.0644704
+0.0623494
+0.0602333
+0.0581228
+0.0560185
+0.0539006
+0.05178
+0.0496654
+0.0475506
+0.0454403
+0.0433364
+0.0412372
+0.0391314
+0.0370289
+0.0349373
+0.0328585
+0.0307895
+0.028735
+0.0267022
+0.0246965
+0.0227017
+0.0207058
+0.0187535
+0.0168413
+0.0149853
+0.0131379
+0.0112879
+0.00952258
+0.00783774
+0.0062442
+0.00476846
+0.00358482
+0.00279738
+0.0024746
+0.0027243
+0.00345075
+0.00455623
+0.00568052
+0.00679319
+0.00825303
+0.00997758
+0.0117706
+0.0135933
+0.015474
+0.0173544
+0.0193004
+0.02127
+0.0231958
+0.0251335
+0.0271097
+0.0290684
+0.0310383
+0.032989
+0.0349463
+0.0369298
+0.0389355
+0.0409568
+0.0429922
+0.0450422
+0.0471013
+0.0491447
+0.0512002
+0.0532531
+0.0552839
+0.0573196
+0.0593651
+0.0614066
+0.0633723
+0.065168
+0.0660175
+0.066754
+0.0673701
+0.0679939
+0.0686756
+0.0694197
+0.0701161
+0.0706528
+0.0712527
+0.0717445
+0.0722371
+0.0727923
+0.0734087
+0.0740848
+0.0750619
+0.0740528
+0.0730718
+0.0721434
+0.0712702
+0.0704544
+0.0696888
+0.06898
+0.0683341
+0.067753
+0.0672382
+0.0667914
+0.0664101
+0.066089
+0.0658392
+0.0656616
+0.0655568
+0.0647018
+0.0625887
+0.060481
+0.0583795
+0.0562847
+0.0541975
+0.0521189
+0.0500192
+0.0479122
+0.0457961
+0.0436847
+0.0415817
+0.0394881
+0.0374056
+0.0353363
+0.0332825
+0.0312415
+0.0292189
+0.0272223
+0.0252177
+0.0232309
+0.0212654
+0.019348
+0.0174304
+0.0155358
+0.0136756
+0.0117809
+0.0100079
+0.00821689
+0.00655778
+0.00507514
+0.00384461
+0.00305191
+0.00269172
+0.0028195
+0.00348631
+0.00433247
+0.00545258
+0.0066789
+0.00811312
+0.00972529
+0.0114553
+0.0132302
+0.0150285
+0.0169196
+0.0188756
+0.0208083
+0.0227556
+0.0246466
+0.026583
+0.0285563
+0.0304933
+0.0324504
+0.0344312
+0.036436
+0.0384611
+0.0405034
+0.0425605
+0.0446047
+0.0466552
+0.0487147
+0.0507289
+0.0527571
+0.0547978
+0.0568497
+0.0588665
+0.0608768
+0.0627261
+0.0645397
+0.0657231
+0.066227
+0.0667831
+0.0674058
+0.0680933
+0.0688438
+0.069655
+0.0703249
+0.0709257
+0.0713567
+0.0718519
+0.0724101
+0.0730297
+0.0737093
+0.0745489
+0.0735339
+0.0725526
+0.0716175
+0.0707379
+0.0699158
+0.0691534
+0.0684527
+0.0678061
+0.0672204
+0.0667015
+0.066251
+0.0658666
+0.0655428
+0.065291
+0.0651119
+0.0650062
+0.0649742
+0.0629034
+0.0608067
+0.0587168
+0.0566345
+0.0545607
+0.0524964
+0.0504138
+0.0483057
+0.0462052
+0.0441135
+0.0420318
+0.0399618
+0.0379054
+0.0358649
+0.0338432
+0.0318382
+0.0298326
+0.0278307
+0.0258594
+0.0239015
+0.0219021
+0.0199274
+0.0180029
+0.0161284
+0.0141847
+0.0123044
+0.0104922
+0.00874586
+0.00713512
+0.00565044
+0.00441399
+0.003507
+0.00294191
+0.00290615
+0.00346481
+0.00437743
+0.00540466
+0.00666432
+0.00814007
+0.00966357
+0.0112406
+0.0129663
+0.0147967
+0.0166336
+0.0184959
+0.0204235
+0.0223145
+0.0242393
+0.0261768
+0.0280987
+0.0300469
+0.0320265
+0.0340319
+0.0360589
+0.0380921
+0.0401167
+0.0421578
+0.044208
+0.0462427
+0.0482606
+0.0502929
+0.052338
+0.0543823
+0.0563812
+0.0583914
+0.0603445
+0.0621504
+0.0639803
+0.0652044
+0.0656961
+0.0662567
+0.0668843
+0.0675772
+0.0683332
+0.0691505
+0.0700268
+0.0706014
+0.0710343
+0.0715318
+0.0720925
+0.0727148
+0.0733973
+0.0740971
+0.0730758
+0.0720963
+0.0711552
+0.0702697
+0.0694422
+0.0686745
+0.0679689
+0.0673257
+0.0667442
+0.0662301
+0.0657792
+0.0653921
+0.0650659
+0.0648122
+0.0646318
+0.0645252
+0.064493
+0.0632925
+0.061208
+0.0591295
+0.0570594
+0.0549987
+0.0529484
+0.0508802
+0.0487922
+0.0467136
+0.0446457
+0.04259
+0.0405486
+0.0385235
+0.0364951
+0.0344625
+0.0324504
+0.0304629
+0.0284863
+0.026459
+0.0244598
+0.0224964
+0.0205552
+0.0186129
+0.0167184
+0.0148435
+0.0130341
+0.0112447
+0.00957036
+0.00800038
+0.00657881
+0.00531622
+0.00415017
+0.00332462
+0.00316064
+0.00368236
+0.00459094
+0.00557392
+0.00676977
+0.00815691
+0.00975547
+0.0113197
+0.0129388
+0.0146276
+0.0164341
+0.0182669
+0.0201212
+0.0220289
+0.0239278
+0.0258361
+0.0277812
+0.0297503
+0.0317483
+0.0337326
+0.0357367
+0.0377604
+0.0398018
+0.0418435
+0.0438502
+0.0458687
+0.0479024
+0.0499493
+0.0519501
+0.0539473
+0.055959
+0.0579837
+0.0598261
+0.0616472
+0.0634917
+0.0647393
+0.0652345
+0.065799
+0.066431
+0.0671285
+0.0678896
+0.0687121
+0.0695939
+0.0703438
+0.0707784
+0.0712776
+0.0718402
+0.0724647
+0.0731495
+0.0737012
+0.0726809
+0.071704
+0.0707577
+0.0698672
+0.0690348
+0.0682626
+0.0675526
+0.0669054
+0.0663203
+0.0658029
+0.0653549
+0.0649777
+0.0646597
+0.0644044
+0.0642228
+0.0641156
+0.0640832
+0.0637435
+0.0616727
+0.0596104
+0.0575576
+0.0554934
+0.0534265
+0.0513699
+0.0493248
+0.0472927
+0.0452754
+0.043228
+0.041183
+0.0391539
+0.0371391
+0.0351438
+0.0331517
+0.0311198
+0.0291111
+0.0271305
+0.0251486
+0.0231772
+0.0212487
+0.0193761
+0.0175124
+0.0157095
+0.0139699
+0.012304
+0.0106087
+0.0090767
+0.00755025
+0.00617101
+0.00489733
+0.00407132
+0.00381615
+0.00423898
+0.00495932
+0.0058985
+0.00694386
+0.00832337
+0.00983805
+0.0113891
+0.0129846
+0.0146552
+0.0163468
+0.0181454
+0.0200109
+0.0218558
+0.0237459
+0.0256586
+0.027574
+0.0295222
+0.0314878
+0.0334813
+0.0354981
+0.0375344
+0.0395501
+0.0415511
+0.0435652
+0.0455942
+0.0476104
+0.0495889
+0.0515846
+0.0535954
+0.0556199
+0.0575748
+0.0593841
+0.0612183
+0.0630753
+0.0643455
+0.0648437
+0.0654116
+0.0660472
+0.0667488
+0.0675142
+0.0683412
+0.0692277
+0.0701411
+0.0705769
+0.0710776
+0.0716418
+0.072268
+0.0729547
+0.0733577
+0.0723325
+0.07136
+0.0704195
+0.0695247
+0.0686882
+0.067912
+0.0671983
+0.0665491
+0.0659662
+0.0654462
+0.0649958
+0.0646165
+0.0643096
+0.0640689
+0.0638864
+0.0637787
+0.0637461
+0.0637887
+0.0622065
+0.0601309
+0.0580638
+0.056006
+0.0539588
+0.0519232
+0.0499008
+0.0478932
+0.0459023
+0.0438807
+0.0418628
+0.0398507
+0.0378427
+0.0358383
+0.0338322
+0.0318327
+0.0298296
+0.0278541
+0.0259045
+0.0239953
+0.0221382
+0.0203034
+0.018483
+0.0167374
+0.0150758
+0.013373
+0.0116733
+0.0100294
+0.00851172
+0.00713917
+0.00595873
+0.00503867
+0.00463724
+0.00486983
+0.00564141
+0.00636048
+0.00736874
+0.00856661
+0.0100027
+0.0114997
+0.0131492
+0.0147762
+0.0164554
+0.0181794
+0.0199603
+0.0218042
+0.0236568
+0.0255311
+0.0274468
+0.0293883
+0.0313626
+0.033364
+0.0353878
+0.0373606
+0.0393433
+0.041347
+0.0433688
+0.045341
+0.0473129
+0.0493033
+0.0513101
+0.0533313
+0.0553235
+0.0571749
+0.0590201
+0.0608654
+0.0627328
+0.0640242
+0.064525
+0.0650956
+0.0657343
+0.0664392
+0.0672081
+0.0680388
+0.0689292
+0.0698764
+0.0704425
+0.0709441
+0.0715093
+0.0721367
+0.0728246
+0.0730782
+0.0720491
+0.0710727
+0.0701459
+0.0692476
+0.0684077
+0.0676283
+0.0669116
+0.0662596
+0.0656742
+0.0651573
+0.0647089
+0.0643279
+0.0640196
+0.0637852
+0.0636237
+0.0635155
+0.0634828
+0.0635256
+0.0627408
+0.0606834
+0.0586358
+0.0565989
+0.0545738
+0.0525621
+0.0505652
+0.048585
+0.0466155
+0.0445893
+0.0425794
+0.0405641
+0.0385616
+0.0365696
+0.0345633
+0.0325808
+0.0306267
+0.0287061
+0.0268185
+0.0249731
+0.0231114
+0.0212946
+0.0195546
+0.0179118
+0.0161553
+0.0143888
+0.0126788
+0.0110967
+0.00960131
+0.00823394
+0.00706617
+0.00615946
+0.00567565
+0.00584642
+0.00640244
+0.00709044
+0.00797642
+0.00911301
+0.0104011
+0.0118366
+0.0134299
+0.015072
+0.0167187
+0.0183804
+0.0200992
+0.0218397
+0.0236551
+0.0255294
+0.0274352
+0.0293775
+0.0313525
+0.0333545
+0.0352963
+0.03726
+0.0392478
+0.0412376
+0.0431746
+0.0451349
+0.0471155
+0.0491139
+0.0511281
+0.0531314
+0.0549693
+0.0568322
+0.0587177
+0.0605896
+0.0624652
+0.0637741
+0.0642768
+0.0648496
+0.0654907
+0.0661982
+0.0669698
+0.0678035
+0.068697
+0.069637
+0.070376
+0.0708781
+0.0714438
+0.0720718
+0.0727603
+0.0728542
+0.0718248
+0.0708482
+0.0699154
+0.0690275
+0.0681965
+0.0674146
+0.0666956
+0.0660415
+0.0654542
+0.0649355
+0.0644871
+0.0641105
+0.0638036
+0.0635683
+0.063408
+0.063323
+0.0632943
+0.0633372
+0.0633463
+0.0613093
+0.0592833
+0.0572694
+0.0552689
+0.0532834
+0.0513146
+0.0493592
+0.0473467
+0.0453267
+0.0433227
+0.0413377
+0.0393374
+0.0373513
+0.0353894
+0.0334559
+0.031556
+0.0296909
+0.0278236
+0.0259763
+0.0241764
+0.022446
+0.0207943
+0.0189632
+0.0171586
+0.0154542
+0.0138482
+0.0122423
+0.0107811
+0.00948516
+0.00831379
+0.00747139
+0.00700363
+0.00698208
+0.00734644
+0.00797424
+0.00874531
+0.00986733
+0.0109853
+0.012342
+0.0138758
+0.0154299
+0.0170627
+0.0186969
+0.0203299
+0.0220565
+0.0238555
+0.0257081
+0.027598
+0.0295296
+0.0314921
+0.0333869
+0.0353044
+0.037252
+0.0392119
+0.0411277
+0.0430697
+0.0450346
+0.0470194
+0.0490141
+0.0510013
+0.0528533
+0.0547006
+0.0565724
+0.0584663
+0.0603803
+0.0622737
+0.0635865
+0.0640906
+0.0646651
+0.065308
+0.0660174
+0.0667911
+0.067627
+0.0685228
+0.0694652
+0.0703776
+0.0708797
+0.0714455
+0.0720734
+0.0727619
+0.0726919
+0.0716604
+0.0706816
+0.0697465
+0.0688565
+0.0680254
+0.0672554
+0.0665448
+0.0658931
+0.0653069
+0.0647871
+0.0643377
+0.0639601
+0.0636558
+0.0634257
+0.0632657
+0.0631806
+0.0631713
+0.0632152
+0.0633341
+0.0620063
+0.0600038
+0.0580149
+0.0560411
+0.0540791
+0.0521271
+0.0501117
+0.048111
+0.0461244
+0.0441387
+0.0421512
+0.0401848
+0.0382427
+0.036329
+0.0344482
+0.0325779
+0.0307221
+0.0288895
+0.0271059
+0.0253861
+0.0236676
+0.0218123
+0.0200249
+0.0183169
+0.016614
+0.0149714
+0.0134491
+0.012059
+0.0107732
+0.00972188
+0.0089379
+0.00842648
+0.00823128
+0.00845891
+0.00898882
+0.00979995
+0.0106529
+0.0117737
+0.0130803
+0.0144888
+0.0159814
+0.0175485
+0.0191528
+0.0207501
+0.0224477
+0.0242245
+0.0260633
+0.0278793
+0.0297457
+0.0316021
+0.0334784
+0.035391
+0.0373133
+0.039219
+0.0411344
+0.0430762
+0.0450301
+0.0469865
+0.0489264
+0.0508304
+0.052665
+0.0545187
+0.0563965
+0.0582961
+0.0602155
+0.0621529
+0.0634739
+0.0639789
+0.0645544
+0.0651984
+0.065909
+0.066684
+0.0675212
+0.0684184
+0.0693622
+0.0703592
+0.070949
+0.0715142
+0.0721416
+0.0728294
+0.0725829
+0.071553
+0.0705761
+0.0696462
+0.0687548
+0.0679225
+0.0671513
+0.0664434
+0.0658004
+0.0652154
+0.0646988
+0.0642527
+0.0638787
+0.0635764
+0.063346
+0.0631908
+0.0631113
+0.0631046
+0.0631633
+0.0632823
+0.062772
+0.060794
+0.0588255
+0.056873
+0.0549131
+0.052913
+0.0509287
+0.0489485
+0.0469714
+0.0450023
+0.0430547
+0.0411315
+0.0392363
+0.0373582
+0.0354892
+0.0336556
+0.0318375
+0.0300692
+0.028351
+0.0265542
+0.0247215
+0.0229515
+0.0211958
+0.0194469
+0.0177956
+0.0162476
+0.0147364
+0.0134023
+0.0122021
+0.0111596
+0.0103231
+0.00978993
+0.00955072
+0.00969334
+0.0101093
+0.0108379
+0.011668
+0.0127238
+0.0139563
+0.0152773
+0.0166737
+0.0181791
+0.019704
+0.0213024
+0.0229763
+0.0246496
+0.0263985
+0.0281928
+0.0299972
+0.0318442
+0.0336775
+0.0355271
+0.0373897
+0.0392862
+0.0412081
+0.0431337
+0.0450414
+0.0468985
+0.0487832
+0.0506926
+0.0525674
+0.0544244
+0.0563053
+0.0582079
+0.0595702
+0.0609227
+0.0623161
+0.0637544
+0.064518
+0.0651623
+0.0658733
+0.0666487
+0.0674864
+0.068384
+0.0693283
+0.0703257
+0.0710858
+0.07165
+0.0722761
+0.0729627
+0.0725399
+0.0715094
+0.0705319
+0.0696096
+0.0687229
+0.0678902
+0.0671186
+0.0664104
+0.0657676
+0.065192
+0.0646792
+0.0642331
+0.0638589
+0.0635565
+0.0633261
+0.0631708
+0.0630913
+0.0630878
+0.0631603
+0.0633013
+0.0635005
+0.0616378
+0.0596969
+0.0577309
+0.0557458
+0.0537734
+0.0517995
+0.0498357
+0.0478842
+0.0459543
+0.0440487
+0.0421637
+0.0402794
+0.0384276
+0.0366131
+0.0348117
+0.0330573
+0.0313162
+0.0294838
+0.0276716
+0.0258537
+0.0240438
+0.0223024
+0.0206344
+0.0190257
+0.0174989
+0.0160995
+0.0147734
+0.0135894
+0.0125805
+0.0118076
+0.011303
+0.0110559
+0.0110711
+0.011379
+0.0119749
+0.0128048
+0.0137725
+0.014906
+0.0161698
+0.0175372
+0.0189416
+0.0204515
+0.0219897
+0.0235603
+0.0251948
+0.0268779
+0.0285937
+0.0303542
+0.0321241
+0.0339133
+0.0357257
+0.0375785
+0.0394658
+0.0413722
+0.0431648
+0.0449927
+0.0468517
+0.0487382
+0.0506493
+0.052561
+0.0544105
+0.0556414
+0.0569236
+0.0582479
+0.0596234
+0.0610465
+0.062514
+0.0640228
+0.0651999
+0.0659105
+0.0666855
+0.0675227
+0.0684198
+0.0693636
+0.0703605
+0.0712897
+0.0718523
+0.0724767
+0.0731613
+0.0725578
+0.0715275
+0.0705502
+0.0696282
+0.0687608
+0.0679285
+0.0671574
+0.0664496
+0.0658072
+0.065232
+0.0647259
+0.064288
+0.0639142
+0.0636121
+0.0633818
+0.0632267
+0.0631473
+0.0631438
+0.0632162
+0.0633571
+0.0635707
+0.0625468
+0.0605761
+0.0586055
+0.0566357
+0.0546774
+0.0527265
+0.0507915
+0.0488782
+0.0469885
+0.0450929
+0.0432252
+0.0413893
+0.0395894
+0.0378057
+0.0360396
+0.0342846
+0.0324386
+0.0305476
+0.0286994
+0.0269026
+0.0251678
+0.0234906
+0.0218875
+0.0203582
+0.0188746
+0.0174628
+0.0162
+0.0150963
+0.0141656
+0.0134176
+0.012882
+0.0125695
+0.0124938
+0.0127481
+0.0132638
+0.0140224
+0.0149305
+0.0159929
+0.0171588
+0.018444
+0.0197678
+0.0211944
+0.0227102
+0.0242427
+0.0258492
+0.0274556
+0.0291186
+0.0307977
+0.0324963
+0.0342505
+0.0360492
+0.037861
+0.0396853
+0.0414351
+0.0432251
+0.0450505
+0.0469072
+0.0487917
+0.0507007
+0.0518779
+0.0530755
+0.054317
+0.0556172
+0.0569719
+0.0583774
+0.0598302
+0.0613268
+0.0628641
+0.0644386
+0.0659907
+0.0667786
+0.0676284
+0.0685256
+0.069468
+0.0704635
+0.0715122
+0.0721205
+0.0727426
+0.0734249
+0.0726236
+0.071605
+0.0706288
+0.0697079
+0.0688443
+0.0680374
+0.0672676
+0.066561
+0.0659196
+0.0653454
+0.0648402
+0.0644055
+0.0640429
+0.0637425
+0.0635128
+0.063358
+0.0632787
+0.0632752
+0.0633475
+0.0634885
+0.0637017
+0.0634449
+0.0614818
+0.0595216
+0.0575781
+0.0556395
+0.0537202
+0.0518224
+0.0499229
+0.0480433
+0.046191
+0.0443696
+0.042583
+0.0407986
+0.039029
+0.0372001
+0.0352972
+0.0334245
+0.0315926
+0.0298092
+0.0280765
+0.0264013
+0.0247992
+0.0232631
+0.0217167
+0.0202651
+0.018939
+0.0177489
+0.0167094
+0.0157692
+0.0149928
+0.0144195
+0.0141003
+0.0139965
+0.0141532
+0.0145594
+0.0152024
+0.016062
+0.0171103
+0.0182554
+0.0193934
+0.0206846
+0.0220456
+0.0234386
+0.0249174
+0.0264683
+0.0280876
+0.0296609
+0.0313047
+0.0329588
+0.0346582
+0.0364074
+0.0381575
+0.0398714
+0.0416134
+0.043396
+0.0452146
+0.0470648
+0.0482986
+0.0494065
+0.0505553
+0.0517646
+0.0530369
+0.0543676
+0.0557528
+0.0571883
+0.0586705
+0.0601959
+0.0617614
+0.0633633
+0.0649913
+0.0666511
+0.0676005
+0.0685101
+0.069477
+0.0704986
+0.0715609
+0.0724541
+0.0730734
+0.0737525
+0.0727404
+0.0717257
+0.0707643
+0.0698561
+0.0689944
+0.0681922
+0.0674488
+0.066744
+0.0661044
+0.0655319
+0.0650281
+0.0645947
+0.0642332
+0.0639408
+0.0637118
+0.0635574
+0.0634784
+0.0634749
+0.063547
+0.0636943
+0.0639075
+0.0641941
+0.0624279
+0.0604956
+0.0585716
+0.0566669
+0.0547651
+0.0528761
+0.0510112
+0.0491731
+0.0473651
+0.0455872
+0.0437919
+0.0419856
+0.0400723
+0.0381887
+0.0363377
+0.0345214
+0.032751
+0.0310211
+0.0293492
+0.0277421
+0.0261405
+0.0245969
+0.0231367
+0.0217731
+0.0205265
+0.0193138
+0.018222
+0.0172852
+0.0165331
+0.0159685
+0.0156067
+0.0154382
+0.0155374
+0.0158507
+0.016442
+0.0172259
+0.0182076
+0.0192216
+0.0203502
+0.0215968
+0.0228622
+0.0241884
+0.0256335
+0.0271474
+0.028652
+0.0302055
+0.0318069
+0.0334375
+0.0351145
+0.0367771
+0.038458
+0.0401763
+0.0419056
+0.0436763
+0.0446854
+0.0457522
+0.0468972
+0.0481028
+0.0492749
+0.0505148
+0.0518178
+0.0531791
+0.0545943
+0.0560595
+0.0575708
+0.0591246
+0.0607177
+0.0623464
+0.0640003
+0.0656852
+0.0673993
+0.06854
+0.0695064
+0.0705277
+0.0715887
+0.0727
+0.073468
+0.0741435
+0.0729229
+0.0719107
+0.0709518
+0.0700484
+0.0692025
+0.068414
+0.0676758
+0.0669898
+0.0663526
+0.0657822
+0.0652803
+0.0648487
+0.0644885
+0.0642012
+0.0639852
+0.0638315
+0.0637528
+0.0637494
+0.0638211
+0.0639679
+0.0641875
+0.0644729
+0.0634273
+0.0615199
+0.0596166
+0.05772
+0.055845
+0.0539937
+0.0521687
+0.0503729
+0.0485818
+0.0467945
+0.0448723
+0.0429758
+0.0411086
+0.0392748
+0.0374775
+0.0357104
+0.0339879
+0.0323222
+0.0306577
+0.0290238
+0.0274675
+0.0259815
+0.0245533
+0.0231734
+0.0219057
+0.0207664
+0.0197434
+0.0188309
+0.0180782
+0.0174692
+0.0170939
+0.016923
+0.016974
+0.0172474
+0.0177457
+0.0184558
+0.0193749
+0.0203222
+0.0213936
+0.0225633
+0.02378
+0.0250557
+0.0264475
+0.0278625
+0.0293556
+0.0308547
+0.0323937
+0.0339969
+0.0356134
+0.037218
+0.0388798
+0.0404754
+0.0413097
+0.0422348
+0.0432511
+0.0443525
+0.0455326
+0.0467856
+0.0480602
+0.0493307
+0.0506641
+0.0520556
+0.0535006
+0.0549949
+0.0565346
+0.0581162
+0.0597358
+0.061383
+0.0630627
+0.064773
+0.0665115
+0.068276
+0.0696041
+0.0706239
+0.0716835
+0.0727934
+0.0739254
+0.0745968
+0.0731705
+0.0721618
+0.0712063
+0.0703061
+0.0694633
+0.0686801
+0.0679525
+0.0672668
+0.0666461
+0.0660847
+0.0655852
+0.0651555
+0.0647971
+0.0645111
+0.0642986
+0.0641601
+0.0640963
+0.0640975
+0.0641689
+0.0643149
+0.0645349
+0.0648245
+0.0644751
+0.0625724
+0.0606891
+0.0588271
+0.0569885
+0.0551757
+0.0533911
+0.0515887
+0.0496916
+0.0477855
+0.0459048
+0.0440528
+0.0422333
+0.0404476
+0.0386879
+0.0369744
+0.0352768
+0.0335819
+0.0319473
+0.0303818
+0.0288461
+0.027332
+0.0259149
+0.0246044
+0.0234009
+0.0223104
+0.0213257
+0.0204037
+0.0196323
+0.0190613
+0.0186684
+0.0184572
+0.01846
+0.0186971
+0.0191429
+0.0197512
+0.0205222
+0.021446
+0.0224888
+0.023626
+0.0248171
+0.0260419
+0.0273338
+0.02869
+0.0301223
+0.0315746
+0.033078
+0.0346191
+0.0361971
+0.0375729
+0.0382324
+0.0389917
+0.039857
+0.0408217
+0.0418789
+0.0430179
+0.0442336
+0.0455224
+0.0468782
+0.0482171
+0.0495804
+0.0510015
+0.0524755
+0.0539982
+0.0555656
+0.0571674
+0.0588043
+0.0604763
+0.0621806
+0.0639145
+0.0656757
+0.067462
+0.0692716
+0.0707878
+0.071845
+0.0729524
+0.0741081
+0.0750818
+0.0734826
+0.0724783
+0.071527
+0.0706309
+0.069792
+0.0690126
+0.0682886
+0.0676064
+0.0669888
+0.0664378
+0.065955
+0.0655342
+0.0651779
+0.0648936
+0.0646823
+0.0645447
+0.0644812
+0.0644922
+0.0645775
+0.0647342
+0.0649528
+0.0652443
+0.0655414
+0.0636705
+0.0618207
+0.0599939
+0.0581922
+0.056418
+0.054525
+0.0526116
+0.0507206
+0.0488547
+0.0470168
+0.0452104
+0.0434318
+0.041683
+0.0399563
+0.0382242
+0.0365347
+0.0349009
+0.0332774
+0.0316999
+0.030173
+0.028729
+0.0273802
+0.0261288
+0.0249559
+0.0238869
+0.0228903
+0.0219887
+0.0212365
+0.020679
+0.020258
+0.0200336
+0.0200287
+0.0202079
+0.0205518
+0.0210787
+0.021796
+0.0226689
+0.0236555
+0.0247399
+0.02587
+0.0270826
+0.028323
+0.029634
+0.0309939
+0.0323978
+0.0338405
+0.0350929
+0.035534
+0.0361028
+0.0367887
+0.0375771
+0.0384743
+0.0394728
+0.0405652
+0.0417404
+0.0429923
+0.0443172
+0.0457087
+0.0471571
+0.0485608
+0.0500108
+0.0515132
+0.0530635
+0.0546533
+0.0562781
+0.0579402
+0.0596364
+0.061364
+0.0631203
+0.0649031
+0.0667101
+0.0685396
+0.0703896
+0.0720728
+0.0731768
+0.0743289
+0.0753077
+0.0738584
+0.0728593
+0.0719131
+0.0710218
+0.0701876
+0.0694126
+0.068693
+0.0680148
+0.067401
+0.0668534
+0.0663737
+0.0659632
+0.0656233
+0.0653473
+0.0651374
+0.0650008
+0.0649378
+0.0649487
+0.0650334
+0.0651917
+0.065423
+0.0657239
+0.0660846
+0.0648241
+0.0630082
+0.0612168
+0.059369
+0.0574499
+0.0555509
+0.0536741
+0.0518219
+0.0499971
+0.0482028
+0.0464301
+0.0446742
+0.0429108
+0.0411884
+0.0395098
+0.0378151
+0.0361708
+0.0345871
+0.0330602
+0.0315963
+0.0302188
+0.0289174
+0.0276837
+0.0265405
+0.025456
+0.0244519
+0.0235959
+0.022868
+0.0222829
+0.0218823
+0.0216643
+0.0216216
+0.0217235
+0.022007
+0.0224903
+0.0231372
+0.0239351
+0.0248265
+0.0258515
+0.0269916
+0.0281854
+0.0294072
+0.030623
+0.0318938
+0.0330776
+0.0332857
+0.0336351
+0.0340972
+0.0346896
+0.0354078
+0.0362399
+0.0371694
+0.038202
+0.0393296
+0.0405407
+0.0418285
+0.0431891
+0.0446158
+0.0460986
+0.0476116
+0.0490897
+0.0506194
+0.0521963
+0.0538117
+0.0554612
+0.057147
+0.0588661
+0.0606157
+0.062393
+0.064196
+0.0660224
+0.0678704
+0.0697382
+0.0715541
+0.0731624
+0.0746134
+0.0751575
+0.0742862
+0.0732932
+0.0723527
+0.0714669
+0.070638
+0.0698679
+0.0691587
+0.0684909
+0.0678815
+0.0673378
+0.0668615
+0.066454
+0.0661166
+0.0658505
+0.0656564
+0.0655242
+0.0654618
+0.0654726
+0.0655566
+0.0657136
+0.0659431
+0.0662436
+0.0666023
+0.0660303
+0.0642124
+0.0622977
+0.0603921
+0.0585066
+0.056643
+0.0548036
+0.0529909
+0.0512037
+0.0494273
+0.0476384
+0.0458843
+0.0441518
+0.0424331
+0.0407396
+0.0390955
+0.0375074
+0.0359773
+0.034498
+0.0330976
+0.0317427
+0.0304696
+0.0292464
+0.0280937
+0.0270108
+0.0260559
+0.0252179
+0.0245195
+0.0239665
+0.0235776
+0.0233072
+0.0231994
+0.0232665
+0.0235182
+0.0239425
+0.0245167
+0.0252189
+0.0260549
+0.0270421
+0.0281361
+0.0293298
+0.0304916
+0.0316658
+0.0315904
+0.031657
+0.0318744
+0.0322395
+0.0327361
+0.0333526
+0.034099
+0.0349669
+0.0359365
+0.0370102
+0.0381796
+0.0394263
+0.0407494
+0.0421448
+0.0436057
+0.0451217
+0.0466829
+0.0482505
+0.049806
+0.0514078
+0.0530473
+0.0547198
+0.0564278
+0.0581682
+0.0599381
+0.061735
+0.0635566
+0.0654008
+0.0672659
+0.0689753
+0.0705744
+0.0722045
+0.0738637
+0.0750661
+0.0747703
+0.0737836
+0.0728493
+0.0719697
+0.0711466
+0.0703821
+0.0696782
+0.0690333
+0.0684287
+0.0678894
+0.067417
+0.0670129
+0.0666783
+0.0664144
+0.066222
+0.0661016
+0.0660429
+0.0660536
+0.0661369
+0.0662926
+0.0665201
+0.0668186
+0.0671867
+0.0671528
+0.0652419
+0.0633492
+0.0614763
+0.059625
+0.0577975
+0.055996
+0.0541888
+0.052375
+0.0505911
+0.0488355
+0.0471063
+0.0453773
+0.0436881
+0.0420451
+0.0404542
+0.0389148
+0.0374233
+0.0360034
+0.0346085
+0.0332828
+0.0320209
+0.0307985
+0.029653
+0.0286293
+0.0277139
+0.0269066
+0.0262223
+0.0256626
+0.0252378
+0.024938
+0.0248127
+0.0248561
+0.0250494
+0.0254015
+0.0259336
+0.0265915
+0.0273855
+0.0283269
+0.029373
+0.0305297
+0.0305335
+0.030318
+0.0302447
+0.0303143
+0.0305412
+0.0309221
+0.0314512
+0.0321096
+0.0328842
+0.0337833
+0.0347859
+0.0358941
+0.0370986
+0.0383905
+0.0397607
+0.0411899
+0.0426835
+0.0442318
+0.0458234
+0.0474627
+0.049077
+0.0507019
+0.0523634
+0.0540571
+0.0557854
+0.0575452
+0.0593337
+0.0611483
+0.0629869
+0.0648474
+0.0664409
+0.068029
+0.0696498
+0.0713011
+0.0729808
+0.074687
+0.0753148
+0.0743352
+0.073408
+0.0725351
+0.0717186
+0.0709602
+0.0702621
+0.0696157
+0.0690289
+0.0684943
+0.0680261
+0.0676256
+0.0672942
+0.0670327
+0.066842
+0.0667227
+0.0666753
+0.0666998
+0.0667841
+0.0669383
+0.0671635
+0.0674592
+0.0678245
+0.0681998
+0.0663192
+0.0644581
+0.0626183
+0.0608018
+0.0589642
+0.0571341
+0.0553285
+0.0535471
+0.0517968
+0.0500569
+0.0483383
+0.0466559
+0.0450147
+0.043422
+0.0418754
+0.0403745
+0.0389211
+0.037492
+0.0361393
+0.0348347
+0.0335676
+0.0323757
+0.0312878
+0.0302962
+0.0294054
+0.028606
+0.0279079
+0.0273552
+0.0269094
+0.0265931
+0.0264515
+0.0264566
+0.0266104
+0.0269421
+0.0274318
+0.0280607
+0.028814
+0.0297101
+0.0301966
+0.0296574
+0.029272
+0.0290472
+0.0289866
+0.0290679
+0.0293045
+0.0297012
+0.0302518
+0.0309479
+0.0317716
+0.0327011
+0.0337385
+0.0348799
+0.0361183
+0.037444
+0.0388476
+0.0403093
+0.0418343
+0.0434164
+0.0450495
+0.0467203
+0.0484284
+0.0500818
+0.0517633
+0.0534759
+0.0552224
+0.0569996
+0.0588047
+0.0606352
+0.0624182
+0.0639561
+0.0655313
+0.0671409
+0.0687827
+0.0704543
+0.0721537
+0.073879
+0.0759186
+0.0749469
+0.0740274
+0.0731619
+0.0723524
+0.0716008
+0.0709031
+0.0702595
+0.0696788
+0.069162
+0.0686983
+0.0683018
+0.0679736
+0.0677148
+0.067526
+0.067408
+0.067361
+0.0673853
+0.0674807
+0.0676418
+0.0678646
+0.0681572
+0.0685186
+0.0689478
+0.0674454
+0.0656194
+0.0637584
+0.0619145
+0.0600897
+0.058289
+0.0565157
+0.0547712
+0.0530244
+0.0513116
+0.0496364
+0.0480005
+0.0464069
+0.0448546
+0.0433245
+0.0418305
+0.0404
+0.0390015
+0.0376455
+0.0363549
+0.0351429
+0.0340044
+0.0329422
+0.0319746
+0.0310672
+0.0302891
+0.0296195
+0.0290339
+0.0285736
+0.0282651
+0.0281023
+0.0281071
+0.0282519
+0.0285645
+0.029016
+0.0295976
+0.0303127
+0.02979
+0.0290842
+0.0285244
+0.0281232
+0.0278887
+0.0278253
+0.0279128
+0.0281591
+0.0285718
+0.0291437
+0.0298648
+0.0307233
+0.0317073
+0.0327856
+0.0339711
+0.0352471
+0.0366043
+0.038039
+0.0395305
+0.0410845
+0.0426943
+0.044354
+0.0460543
+0.0477921
+0.0495509
+0.0512498
+0.0529791
+0.0547389
+0.0565271
+0.0583426
+0.0600068
+0.0615271
+0.0630868
+0.0646831
+0.0663133
+0.0679751
+0.0696661
+0.0713843
+0.0731277
+0.0765803
+0.0756171
+0.0747058
+0.0738483
+0.0730464
+0.0723005
+0.0716024
+0.0709651
+0.0703903
+0.0698794
+0.0694332
+0.0690409
+0.0687163
+0.0684602
+0.0682735
+0.0681568
+0.0681103
+0.0681343
+0.0682287
+0.0683931
+0.0686226
+0.068912
+0.0692695
+0.069694
+0.0685673
+0.0667102
+0.0648712
+0.0630548
+0.0612628
+0.0594975
+0.0577457
+0.0560059
+0.0542988
+0.0526276
+0.0509956
+0.0494004
+0.0478108
+0.0462564
+0.044753
+0.0432971
+0.0418577
+0.0404788
+0.0391737
+0.0379282
+0.0367671
+0.0356582
+0.0346127
+0.0336339
+0.0327726
+0.0320025
+0.0313212
+0.0307392
+0.0302877
+0.0299761
+0.0298226
+0.0298153
+0.0299519
+0.0302362
+0.030655
+0.0306667
+0.0296847
+0.0288054
+0.0280682
+0.0274863
+0.0270696
+0.026826
+0.0267601
+0.0268732
+0.0271426
+0.0275704
+0.0281626
+0.0289071
+0.0297932
+0.0308099
+0.0319393
+0.033155
+0.0344673
+0.0358655
+0.0373339
+0.0388546
+0.0404367
+0.0420735
+0.0437569
+0.0454799
+0.0472388
+0.0490326
+0.0508142
+0.0525532
+0.0543249
+0.0561263
+0.0576612
+0.0591606
+0.060702
+0.0622824
+0.0638988
+0.0655485
+0.0672292
+0.0689385
+0.0706744
+0.0724349
+0.0772981
+0.076344
+0.0754415
+0.0745924
+0.0737986
+0.0730521
+0.0723613
+0.0717307
+0.0711621
+0.0706568
+0.0702162
+0.0698409
+0.06952
+0.0692669
+0.0690824
+0.0689671
+0.0689211
+0.0689449
+0.0690381
+0.0692006
+0.0694319
+0.0697275
+0.0700808
+0.0705004
+0.069669
+0.0678395
+0.066032
+0.0642484
+0.0624907
+0.0607326
+0.0589995
+0.0572979
+0.0556304
+0.0539938
+0.0523604
+0.0507684
+0.0492086
+0.0476846
+0.0461881
+0.0447461
+0.0433484
+0.0420185
+0.0407587
+0.0395404
+0.0383633
+0.0372695
+0.0362752
+0.0353294
+0.0344755
+0.0336996
+0.033051
+0.0324803
+0.0320405
+0.0317462
+0.0316013
+0.031579
+0.031708
+0.0319627
+0.0309857
+0.0298538
+0.0288442
+0.0279496
+0.0271896
+0.0265885
+0.0261575
+0.0259053
+0.0258371
+0.0259542
+0.0262542
+0.0266989
+0.0273101
+0.0280793
+0.0289939
+0.0300406
+0.0312049
+0.0324664
+0.0338054
+0.0352299
+0.0367279
+0.0382732
+0.0398785
+0.0415373
+0.0432423
+0.0449885
+0.0467721
+0.0485891
+0.0504287
+0.0522139
+0.0539571
+0.0553874
+0.0568644
+0.0583843
+0.0599457
+0.0615455
+0.0631807
+0.0648487
+0.0665471
+0.0682734
+0.0700258
+0.0718022
+0.0780631
+0.0771185
+0.0762251
+0.0753849
+0.0745995
+0.0738611
+0.0731779
+0.0725544
+0.0719923
+0.0714929
+0.0710575
+0.0706874
+0.0703828
+0.0701329
+0.0699506
+0.0698367
+0.0697913
+0.0698148
+0.0699068
+0.0700673
+0.0702958
+0.0705915
+0.0709505
+0.071365
+0.0706001
+0.0688737
+0.067172
+0.0654844
+0.06373
+0.0620034
+0.0603069
+0.0586366
+0.0569678
+0.0553356
+0.0537413
+0.0521632
+0.0506095
+0.0491044
+0.0476524
+0.0462475
+0.0448966
+0.043598
+0.0423138
+0.0411062
+0.0399705
+0.038924
+0.0379345
+0.0370345
+0.0361838
+0.0354453
+0.0348027
+0.0342528
+0.0338361
+0.0335575
+0.0334149
+0.0333934
+0.0329519
+0.0315874
+0.03032
+0.0291623
+0.0281279
+0.0272097
+0.026436
+0.0258254
+0.0253875
+0.0251276
+0.0250572
+0.0251749
+0.0254655
+0.0259384
+0.026584
+0.0273769
+0.0283143
+0.0293854
+0.0305761
+0.0318731
+0.033251
+0.0347096
+0.0362351
+0.0378101
+0.0394342
+0.0411109
+0.0428329
+0.0445951
+0.0463939
+0.0482251
+0.050078
+0.051797
+0.0531951
+0.0546453
+0.0561419
+0.0576808
+0.0592607
+0.0608785
+0.0625312
+0.0642161
+0.0659307
+0.0676728
+0.0694404
+0.0712314
+0.0788815
+0.0779468
+0.0770631
+0.076232
+0.0754555
+0.0747255
+0.0740503
+0.0734343
+0.0728789
+0.0723856
+0.0719557
+0.0715902
+0.0712902
+0.0710558
+0.0708759
+0.0707635
+0.0707187
+0.0707418
+0.0708327
+0.0709911
+0.0712166
+0.0715085
+0.071866
+0.0720759
+0.0703151
+0.0685792
+0.0668699
+0.0651895
+0.0635402
+0.0619244
+0.0603449
+0.0588046
+0.0573067
+0.0558545
+0.0544518
+0.0531015
+0.0518053
+0.0505708
+0.0491704
+0.0477876
+0.0464391
+0.0451294
+0.04389
+0.0427192
+0.0416252
+0.0405887
+0.0396328
+0.0387538
+0.0379391
+0.037228
+0.0365898
+0.0360672
+0.0356717
+0.0353955
+0.0352394
+0.0339451
+0.0324748
+0.0310895
+0.0298009
+0.0286222
+0.0275675
+0.0266301
+0.0258389
+0.0252139
+0.0247666
+0.0245001
+0.0244279
+0.0245472
+0.0248451
+0.0253297
+0.0259904
+0.0268143
+0.0277869
+0.0288786
+0.0300894
+0.0314066
+0.0328067
+0.0342841
+0.0358347
+0.0374493
+0.0391049
+0.0407979
+0.0425326
+0.0443067
+0.0461167
+0.0479585
+0.0497361
+0.0510967
+0.0525135
+0.053982
+0.0554965
+0.0570528
+0.0586497
+0.0602838
+0.0619524
+0.0636526
+0.065382
+0.0671384
+0.0689196
+0.0707238
+0.0796232
+0.0788274
+0.0779536
+0.0771322
+0.0763648
+0.0756428
+0.0749758
+0.0743674
+0.0738191
+0.0733321
+0.0729077
+0.072547
+0.072251
+0.0720204
+0.0718497
+0.0717387
+0.0716946
+0.0717174
+0.071807
+0.0719633
+0.0721857
+0.0724737
+0.0728265
+0.0718613
+0.0700951
+0.0683536
+0.0666386
+0.0649521
+0.0632966
+0.0616745
+0.0600884
+0.0585414
+0.0570365
+0.0555773
+0.0541674
+0.0528098
+0.0515063
+0.0502644
+0.049089
+0.0479848
+0.046957
+0.0460105
+0.0451506
+0.0443618
+0.0432942
+0.0422939
+0.0413775
+0.0405093
+0.0397234
+0.039033
+0.0384188
+0.0379214
+0.0375236
+0.0368072
+0.035184
+0.0336253
+0.0321404
+0.0307399
+0.0294361
+0.0282422
+0.0271727
+0.0262212
+0.0254173
+0.0247816
+0.0243272
+0.0240565
+0.0239829
+0.024103
+0.0244063
+0.0248994
+0.0255713
+0.0264083
+0.0273953
+0.028502
+0.0297281
+0.0310606
+0.0324863
+0.0339934
+0.035558
+0.0371846
+0.0388666
+0.0405906
+0.0423435
+0.0441253
+0.0459425
+0.0477873
+0.0491042
+0.0504819
+0.0519154
+0.0533964
+0.0549248
+0.0564969
+0.058109
+0.059758
+0.0614408
+0.0631548
+0.0648975
+0.0666666
+0.0684601
+0.0702761
+0.0801735
+0.0797584
+0.0788949
+0.0780834
+0.0773244
+0.0766095
+0.075951
+0.0753506
+0.0748094
+0.0743289
+0.0739103
+0.0735545
+0.0732625
+0.0730351
+0.0728699
+0.0727605
+0.072717
+0.0727394
+0.0728278
+0.0729819
+0.0732012
+0.0734852
+0.0735055
+0.0717129
+0.0699431
+0.0681977
+0.0664786
+0.064788
+0.0631282
+0.0615016
+0.059911
+0.0583592
+0.0568496
+0.0553854
+0.0539705
+0.0526078
+0.0512991
+0.0500522
+0.0488716
+0.0477624
+0.0467297
+0.0457785
+0.0449142
+0.0441417
+0.043461
+0.0428702
+0.0423845
+0.0420075
+0.0415409
+0.040847
+0.0402605
+0.0397794
+0.0383303
+0.0366437
+0.0350129
+0.0334462
+0.0319529
+0.0305439
+0.0292313
+0.0280287
+0.0269507
+0.0259911
+0.0251799
+0.024538
+0.0240791
+0.023807
+0.0237326
+0.0238525
+0.024159
+0.024657
+0.0253353
+0.0261798
+0.0271752
+0.0282905
+0.0295254
+0.0308666
+0.0323008
+0.0338162
+0.0354024
+0.0370478
+0.0387357
+0.0404719
+0.0422504
+0.0440522
+0.0458723
+0.0472311
+0.0485604
+0.0499488
+0.0513931
+0.0528887
+0.0544314
+0.0560173
+0.0576429
+0.0593048
+0.0610001
+0.0627262
+0.0644804
+0.0662607
+0.0680649
+0.0698912
+0.0807699
+0.0804825
+0.0798852
+0.0790839
+0.0783317
+0.0776261
+0.0769763
+0.0763839
+0.0758501
+0.0753762
+0.0749634
+0.0746127
+0.0743249
+0.0741007
+0.0739408
+0.0738331
+0.0737903
+0.0738124
+0.0738995
+0.0740513
+0.0742675
+0.0745475
+0.0734259
+0.0716314
+0.0698594
+0.0681119
+0.0663906
+0.0646977
+0.0630355
+0.0614064
+0.0598133
+0.0582589
+0.0567466
+0.0552797
+0.053862
+0.0524966
+0.051185
+0.0499352
+0.0487518
+0.0476399
+0.0466044
+0.0456506
+0.0447838
+0.044009
+0.0433263
+0.0427336
+0.0422463
+0.0418681
+0.041602
+0.0414501
+0.0414137
+0.0400355
+0.0382988
+0.0366107
+0.0349784
+0.0334101
+0.0319151
+0.0305044
+0.02919
+0.0279856
+0.0269059
+0.0259442
+0.0251308
+0.0244868
+0.0240257
+0.0237558
+0.0236813
+0.0238016
+0.0241089
+0.024608
+0.0252876
+0.0261337
+0.0271307
+0.0282477
+0.0294845
+0.0308275
+0.0322634
+0.0337805
+0.0353683
+0.0370177
+0.0387207
+0.0404595
+0.0422386
+0.0440549
+0.0454863
+0.0467608
+0.0481014
+0.0495027
+0.0509596
+0.0524676
+0.0540224
+0.0556199
+0.0572568
+0.0589296
+0.0606354
+0.0623716
+0.0641355
+0.0659251
+0.0677382
+0.0695731
+0.0814208
+0.0811357
+0.080909
+0.0801318
+0.0793867
+0.0786905
+0.0780496
+0.0774653
+0.0769391
+0.076472
+0.0760651
+0.0757194
+0.0754359
+0.075215
+0.0750575
+0.0749545
+0.0749122
+0.074934
+0.0750198
+0.0751694
+0.0753824
+0.0752275
+0.0734116
+0.0716167
+0.0698444
+0.0680965
+0.0663748
+0.0646815
+0.0630189
+0.0613894
+0.0597958
+0.0582409
+0.0567281
+0.0552608
+0.0538426
+0.0524766
+0.0511646
+0.0499142
+0.0487303
+0.0476178
+0.0465819
+0.0456277
+0.0447604
+0.0439852
+0.0433021
+0.042709
+0.0422215
+0.0418431
+0.0415768
+0.0414248
+0.0413884
+0.0401239
+0.0383911
+0.0367073
+0.0350795
+0.0335159
+0.0320259
+0.0306203
+0.0293111
+0.0281119
+0.0270126
+0.0260481
+0.0252373
+0.0245956
+0.0241363
+0.0238668
+0.0237927
+0.0239154
+0.0242283
+0.0247321
+0.0254154
+0.0262641
+0.027262
+0.0283746
+0.029606
+0.0309438
+0.0323746
+0.0338867
+0.0354697
+0.0371146
+0.0388134
+0.0405482
+0.0423236
+0.04386
+0.0450946
+0.0463876
+0.0477387
+0.0491503
+0.0506174
+0.0521353
+0.0536996
+0.0553065
+0.0569524
+0.0586339
+0.0603481
+0.0620922
+0.0638639
+0.0656609
+0.0674811
+0.0693228
+0.082125
+0.0818424
+0.0816177
+0.0812252
+0.0804874
+0.0798008
+0.0791689
+0.078593
+0.0780743
+0.0776141
+0.0772132
+0.0768727
+0.0765934
+0.0763759
+0.0762208
+0.0761223
+0.0760808
+0.0761022
+0.0761867
+0.076334
+0.0765437
+0.0752773
+0.0734627
+0.0716691
+0.0698981
+0.0681515
+0.0664313
+0.0647395
+0.0630783
+0.0614504
+0.0598584
+0.0583053
+0.0567942
+0.0553286
+0.0539122
+0.052548
+0.0512378
+0.0499893
+0.0488072
+0.0476966
+0.0466623
+0.0457098
+0.0448441
+0.0440704
+0.0433886
+0.0427968
+0.0423102
+0.0419326
+0.0416669
+0.0415153
+0.0414789
+0.0403096
+0.0385852
+0.0369102
+0.0352918
+0.033738
+0.0322583
+0.0308632
+0.0295648
+0.0283763
+0.0272874
+0.026333
+0.0255313
+0.0248971
+0.0244435
+0.0241762
+0.024103
+0.0242254
+0.0245344
+0.025032
+0.0257073
+0.0265467
+0.0275352
+0.0286574
+0.0298881
+0.0312137
+0.0326327
+0.0341334
+0.0357055
+0.03734
+0.039029
+0.0407546
+0.0423764
+0.0435429
+0.0447863
+0.0461002
+0.047472
+0.0488913
+0.050366
+0.0518912
+0.0534627
+0.0550765
+0.056728
+0.0584133
+0.0601311
+0.0618789
+0.063654
+0.0654525
+0.0672731
+0.0691152
+0.0828812
+0.0826012
+0.0823785
+0.0822136
+0.0816321
+0.0809553
+0.0803324
+0.0797649
+0.0792539
+0.0788005
+0.0784058
+0.0780705
+0.0777955
+0.0775814
+0.0774287
+0.0773346
+0.0772937
+0.0773149
+0.077398
+0.077543
+0.0772223
+0.0753908
+0.073579
+0.0717883
+0.0700203
+0.0682769
+0.0665599
+0.0648714
+0.0632137
+0.0615894
+0.0600011
+0.0584518
+0.0569446
+0.0554829
+0.0540705
+0.0527105
+0.0514044
+0.0501601
+0.0489821
+0.0478755
+0.0468452
+0.0458965
+0.0450344
+0.044264
+0.0435849
+0.0429961
+0.0425118
+0.042136
+0.0418716
+0.0417207
+0.0416845
+0.0406127
+0.0389016
+0.0372409
+0.0356375
+0.0340995
+0.0326362
+0.0312579
+0.0299766
+0.0288051
+0.0277331
+0.0267946
+0.0260071
+0.0253848
+0.02494
+0.0246769
+0.0246052
+0.0247263
+0.0250292
+0.0255171
+0.0261799
+0.0270046
+0.027977
+0.0290821
+0.0302997
+0.031608
+0.0330101
+0.0344943
+0.0360507
+0.0376702
+0.039345
+0.0410685
+0.0421622
+0.0433344
+0.0445836
+0.0459034
+0.0472782
+0.0487031
+0.0501833
+0.0517139
+0.0532864
+0.0548989
+0.0565503
+0.0582367
+0.059955
+0.0617031
+0.0634787
+0.0652795
+0.0671035
+0.0689488
+0.0836879
+0.0834106
+0.0831901
+0.0830268
+0.082819
+0.0821519
+0.0815382
+0.0809792
+0.0804759
+0.0800294
+0.0796407
+0.0793106
+0.07904
+0.0788292
+0.078679
+0.0785893
+0.0785491
+0.0785699
+0.0786517
+0.0787944
+0.077395
+0.0755677
+0.0737602
+0.071974
+0.0702107
+0.0684721
+0.0667601
+0.0650768
+0.0634246
+0.0618058
+0.0602232
+0.0586797
+0.0571785
+0.055723
+0.0543169
+0.0529631
+0.0516634
+0.0504255
+0.0492539
+0.0481535
+0.0471293
+0.0461818
+0.0453181
+0.0445456
+0.0438689
+0.0432927
+0.0428194
+0.0424463
+0.0421839
+0.0420341
+0.0419982
+0.0410306
+0.0393377
+0.0376962
+0.036113
+0.0345962
+0.0331548
+0.031799
+0.0305404
+0.0293914
+0.0283416
+0.0274239
+0.026655
+0.0260482
+0.0256149
+0.0253576
+0.0252878
+0.0254069
+0.0257017
+0.0261772
+0.0268237
+0.0276292
+0.0285803
+0.029663
+0.0308576
+0.0321432
+0.0335229
+0.0349854
+0.0365208
+0.0381204
+0.0397763
+0.0409696
+0.042061
+0.0432245
+0.044456
+0.0457592
+0.0471283
+0.0485577
+0.0500422
+0.051577
+0.0531576
+0.0547726
+0.0564262
+0.0581153
+0.0598369
+0.0615884
+0.0633672
+0.065171
+0.066998
+0.0688462
+0.0845437
+0.0842692
+0.0840509
+0.0838893
+0.0837847
+0.0833827
+0.0827781
+0.0822275
+0.0817319
+0.0812923
+0.0809097
+0.0805848
+0.0803184
+0.080111
+0.0799632
+0.0798751
+0.0798448
+0.0798652
+0.0799457
+0.0794694
+0.0776291
+0.0758075
+0.0740058
+0.0722257
+0.0704687
+0.0687366
+0.0670314
+0.0653551
+0.0637101
+0.0620987
+0.0605238
+0.0589882
+0.057495
+0.0560477
+0.05465
+0.0533047
+0.0520135
+0.0507841
+0.049617
+0.0485184
+0.0474954
+0.0465531
+0.0456965
+0.0449305
+0.0442597
+0.0436886
+0.0432197
+0.0428501
+0.0425901
+0.0424418
+0.0424062
+0.0415599
+0.0398896
+0.0382717
+0.0367134
+0.0352224
+0.0338076
+0.0324792
+0.031248
+0.030126
+0.0291027
+0.0282097
+0.0274628
+0.0268743
+0.0264536
+0.0262043
+0.0261368
+0.0262526
+0.0265386
+0.0269993
+0.0276266
+0.0284093
+0.0293351
+0.0303909
+0.031558
+0.0328162
+0.0341687
+0.0356047
+0.0371145
+0.0386895
+0.0399522
+0.040947
+0.0420171
+0.0431719
+0.0444048
+0.0457095
+0.0470801
+0.0485109
+0.0499967
+0.0515329
+0.0531148
+0.0547311
+0.0563859
+0.0580762
+0.0597989
+0.0615515
+0.0633313
+0.0651361
+0.066964
+0.0688131
+0.0854471
+0.0851755
+0.0849595
+0.0847996
+0.0846961
+0.0846492
+0.0840547
+0.0835125
+0.0830245
+0.0825918
+0.0822153
+0.0818956
+0.0816335
+0.0814294
+0.081284
+0.0811974
+0.0811698
+0.0811971
+0.0812763
+0.0797576
+0.0779241
+0.0761096
+0.0743152
+0.0725427
+0.0707936
+0.0690697
+0.0673729
+0.0657053
+0.0640692
+0.0624672
+0.0609017
+0.0593759
+0.0578928
+0.0564557
+0.0550683
+0.0537301
+0.0524434
+0.0512182
+0.0500588
+0.0489701
+0.0479568
+0.0470237
+0.0461759
+0.0454179
+0.0447544
+0.0441897
+0.0437262
+0.0433609
+0.043104
+0.0429574
+0.0429223
+0.0421965
+0.0405524
+0.038962
+0.0374324
+0.0359713
+0.0345872
+0.0332899
+0.0320898
+0.0309982
+0.0300047
+0.0291394
+0.028417
+0.0278486
+0.0274418
+0.0272015
+0.0271364
+0.027248
+0.0275248
+0.0279693
+0.0285752
+0.0293327
+0.0302302
+0.0312558
+0.0323917
+0.0336188
+0.0349402
+0.0363457
+0.037826
+0.0391125
+0.0400316
+0.0410087
+0.0420772
+0.0432304
+0.0444617
+0.0457648
+0.0471337
+0.0485629
+0.0500472
+0.0515819
+0.0531624
+0.0547772
+0.0564306
+0.0581196
+0.0598411
+0.0615925
+0.0633712
+0.0651749
+0.0670018
+0.0688498
+0.0863966
+0.086128
+0.0859144
+0.0857563
+0.085654
+0.0856076
+0.0853684
+0.0848346
+0.0843543
+0.0839284
+0.0835579
+0.0832434
+0.0829855
+0.0827848
+0.0826417
+0.0825566
+0.0825295
+0.0825605
+0.0819373
+0.0800938
+0.0782682
+0.0764618
+0.074676
+0.0729122
+0.0711722
+0.0694576
+0.0677705
+0.066113
+0.0644873
+0.0628959
+0.0613414
+0.0598268
+0.0583551
+0.0569297
+0.0555541
+0.0542269
+0.0529523
+0.0517391
+0.0505917
+0.0495147
+0.0485127
+0.0475906
+0.046753
+0.0460046
+0.0453497
+0.0447925
+0.0443352
+0.043975
+0.0437217
+0.0435773
+0.0435426
+0.0429355
+0.0413208
+0.0397612
+0.0382636
+0.0368354
+0.0354851
+0.0342218
+0.0330555
+0.031997
+0.0310354
+0.0301997
+0.0295032
+0.0289561
+0.028564
+0.0283333
+0.0282708
+0.0283779
+0.0286449
+0.0290722
+0.0296557
+0.0303862
+0.0312535
+0.0322466
+0.0333488
+0.0345418
+0.0358292
+0.0372012
+0.0385045
+0.0393229
+0.0402142
+0.0411869
+0.0422509
+0.0433995
+0.0446261
+0.0459245
+0.0472888
+0.0487135
+0.0501933
+0.0517237
+0.0533
+0.0549107
+0.0565603
+0.0582455
+0.0599634
+0.0617113
+0.0634866
+0.0652872
+0.067111
+0.0689561
+0.0873907
+0.0871251
+0.086914
+0.0867578
+0.0866566
+0.0866107
+0.0866203
+0.0861921
+0.0857194
+0.0853004
+0.0849358
+0.0846264
+0.0843728
+0.0841754
+0.0840347
+0.0839509
+0.0839243
+0.0836678
+0.0821889
+0.0804876
+0.0786711
+0.0768742
+0.0750982
+0.0733445
+0.071615
+0.0699113
+0.0682355
+0.0665895
+0.0649757
+0.0633966
+0.0618547
+0.0603529
+0.0588944
+0.0574823
+0.0561203
+0.0548069
+0.0535461
+0.0523466
+0.0512128
+0.0501492
+0.0491601
+0.0482504
+0.0474244
+0.0466868
+0.0460416
+0.0454929
+0.0450427
+0.0446882
+0.044439
+0.0442968
+0.0442628
+0.0437718
+0.0421891
+0.0406629
+0.0391997
+0.0378069
+0.0364925
+0.0352653
+0.0341348
+0.0331107
+0.0321825
+0.0313773
+0.0307075
+0.0301823
+0.0298053
+0.0295842
+0.0295244
+0.029627
+0.0298838
+0.0302937
+0.030854
+0.0315568
+0.0323928
+0.033352
+0.0344188
+0.035576
+0.0368273
+0.038129
+0.038842
+0.03964
+0.0405082
+0.041474
+0.0425308
+0.043672
+0.0448912
+0.0461822
+0.0475391
+0.0489565
+0.0504292
+0.0519526
+0.0535223
+0.0551311
+0.0567742
+0.0584533
+0.0601653
+0.0619074
+0.0636773
+0.0654726
+0.0672914
+0.0691317
+0.0884279
+0.0881655
+0.0879569
+0.0878024
+0.0877025
+0.0876572
+0.0876666
+0.0875833
+0.0871182
+0.086706
+0.0863473
+0.086043
+0.0857935
+0.0855994
+0.0854611
+0.0853787
+0.0853205
+0.0838134
+0.082337
+0.0808578
+0.0791327
+0.0773465
+0.0755815
+0.0738394
+0.0721217
+0.0704303
+0.0687671
+0.0671342
+0.0655338
+0.0639684
+0.0624406
+0.0609533
+0.0595095
+0.0581124
+0.0567655
+0.0554673
+0.0542219
+0.0530377
+0.051919
+0.0508701
+0.0498954
+0.0489993
+0.0481862
+0.0474604
+0.0468259
+0.0462864
+0.0458441
+0.0454958
+0.045251
+0.0451114
+0.045078
+0.0446999
+0.0431513
+0.0416603
+0.0402334
+0.0388776
+0.0376007
+0.0364109
+0.035317
+0.0343283
+0.0334338
+0.0326595
+0.0320166
+0.0315132
+0.0311513
+0.0309399
+0.0308827
+0.0309808
+0.0312275
+0.0316199
+0.0321572
+0.0328321
+0.0336364
+0.034561
+0.0355916
+0.0367119
+0.0379257
+0.0385322
+0.0392399
+0.0400201
+0.0409011
+0.0418578
+0.0429052
+0.0440367
+0.0452461
+0.0465272
+0.0478744
+0.0492821
+0.0507454
+0.0522595
+0.0538203
+0.0554237
+0.0570662
+0.0587409
+0.0604459
+0.0621802
+0.0639425
+0.0657306
+0.0675424
+0.0693761
+0.0895067
+0.0892475
+0.0890414
+0.0888889
+0.0887901
+0.0887454
+0.0887547
+0.0888181
+0.0885491
+0.0881436
+0.0877908
+0.0874915
+0.0872462
+0.0870553
+0.0869193
+0.0868383
+0.0855097
+0.0840059
+0.0825329
+0.0810917
+0.079561
+0.0778775
+0.0761249
+0.0743955
+0.0726909
+0.0710131
+0.0693638
+0.0677453
+0.0661597
+0.0646095
+0.0630972
+0.0616258
+0.0601981
+0.0588174
+0.057487
+0.0562055
+0.0549768
+0.0538092
+0.0527069
+0.051674
+0.0507147
+0.0498333
+0.0490341
+0.048321
+0.0476979
+0.0471685
+0.0467345
+0.0463929
+0.0461529
+0.046016
+0.0459832
+0.0457143
+0.0442012
+0.0427468
+0.0413574
+0.0400397
+0.0388011
+0.0376492
+0.0365924
+0.035639
+0.0347783
+0.0340346
+0.0334182
+0.0329361
+0.0325892
+0.0323871
+0.0323325
+0.0324262
+0.0326629
+0.0330383
+0.0335529
+0.0342002
+0.0349731
+0.0358633
+0.0368575
+0.0379404
+0.0384461
+0.0390443
+0.0397429
+0.0405134
+0.0413856
+0.0423517
+0.0433872
+0.0445064
+0.0457034
+0.046972
+0.0483067
+0.0497022
+0.0511535
+0.0526559
+0.0542053
+0.0557976
+0.0574294
+0.0590938
+0.0607906
+0.0625181
+0.0642739
+0.0660556
+0.0678613
+0.0696885
+0.0906256
+0.0903696
+0.0901661
+0.0900155
+0.089918
+0.0898738
+0.089883
+0.0899456
+0.0900106
+0.0896117
+0.0892647
+0.0889704
+0.0887292
+0.0885415
+0.0884077
+0.087283
+0.0857544
+0.084255
+0.0827864
+0.0813504
+0.0798588
+0.0783621
+0.0767269
+0.0750114
+0.0733212
+0.0716581
+0.0700241
+0.0684211
+0.0668516
+0.0653178
+0.0638223
+0.062368
+0.0609577
+0.0595945
+0.0582819
+0.0570183
+0.0558075
+0.0546577
+0.0535728
+0.0525569
+0.051614
+0.0507483
+0.0499637
+0.049264
+0.048653
+0.0481341
+0.0477054
+0.0473708
+0.0471358
+0.0470018
+0.0469697
+0.0468092
+0.0453327
+0.0439158
+0.0425646
+0.0412855
+0.0400853
+0.0389714
+0.0379514
+0.0370331
+0.0362055
+0.0354917
+0.034901
+0.0344388
+0.0341072
+0.0339142
+0.033862
+0.0339515
+0.0341785
+0.0345375
+0.03503
+0.0356506
+0.0363926
+0.0372489
+0.0382071
+0.0386092
+0.0390823
+0.0396709
+0.0403587
+0.0411177
+0.0419774
+0.0429317
+0.0439731
+0.0450778
+0.0462599
+0.0475137
+0.0488337
+0.0502145
+0.0516514
+0.0531397
+0.0546754
+0.0562544
+0.0578733
+0.0595253
+0.0612101
+0.0629261
+0.0646708
+0.0664419
+0.0682374
+0.0700553
+0.0917832
+0.0915305
+0.0913295
+0.0911808
+0.0910846
+0.091041
+0.09105
+0.0911118
+0.0912262
+0.0911088
+0.0907676
+0.0904781
+0.0902409
+0.0900564
+0.0891273
+0.0875776
+0.0860542
+0.0845601
+0.083097
+0.0816664
+0.0802118
+0.0787254
+0.0772688
+0.0756858
+0.074011
+0.0723638
+0.070746
+0.0691598
+0.0676074
+0.0660911
+0.0646136
+0.0631775
+0.0617856
+0.0604412
+0.0591473
+0.0579026
+0.0567107
+0.0555795
+0.054513
+0.053515
+0.0525893
+0.0517399
+0.0509705
+0.0502849
+0.0496865
+0.0491783
+0.0487555
+0.0484282
+0.0481983
+0.0480672
+0.0480359
+0.0479792
+0.0465398
+0.0451609
+0.043848
+0.0426075
+0.0414456
+0.0403693
+0.0393855
+0.0385014
+0.037706
+0.0370212
+0.0364553
+0.0360122
+0.0356952
+0.0355108
+0.035461
+0.0355464
+0.0357642
+0.0361074
+0.0365788
+0.0371735
+0.0378858
+0.038709
+0.0390184
+0.0393649
+0.0398291
+0.0404068
+0.0410823
+0.0418281
+0.0426735
+0.0436126
+0.0446396
+0.045747
+0.0469123
+0.0481491
+0.0494521
+0.0508161
+0.0522364
+0.0537086
+0.0552284
+0.0567921
+0.0583961
+0.0600337
+0.0617047
+0.0634073
+0.0651391
+0.0668977
+0.0686813
+0.0704878
+0.0929781
+0.0927285
+0.0925302
+0.0923834
+0.0922884
+0.0922454
+0.0922543
+0.0923153
+0.0924198
+0.0925744
+0.092298
+0.0920133
+0.0917801
+0.0910328
+0.0894694
+0.0879257
+0.0864085
+0.0849207
+0.0834638
+0.0820396
+0.0806149
+0.0791442
+0.0776964
+0.0762831
+0.0747586
+0.0731282
+0.0715278
+0.0699593
+0.068425
+0.0669273
+0.0654686
+0.0640517
+0.0626793
+0.0613544
+0.0600802
+0.0588552
+0.057683
+0.0565713
+0.0555238
+0.0545443
+0.0536364
+0.0528038
+0.0520502
+0.0513789
+0.0507934
+0.0502931
+0.0498797
+0.0495598
+0.0493352
+0.0492072
+0.0491765
+0.0492152
+0.047813
+0.0464718
+0.0451971
+0.0439946
+0.0428703
+0.0418307
+0.0408821
+0.040031
+0.039266
+0.0386044
+0.0380575
+0.0376304
+0.0373271
+0.0371508
+0.0371033
+0.0371849
+0.0373949
+0.0377312
+0.0381903
+0.0387605
+0.0394441
+0.0396531
+0.0398739
+0.0402131
+0.0406675
+0.0412335
+0.0419065
+0.0426393
+0.0434689
+0.0443912
+0.0454006
+0.0464913
+0.0476565
+0.0488745
+0.0501586
+0.051504
+0.0529058
+0.0543599
+0.055862
+0.0574084
+0.0589956
+0.0606171
+0.0622723
+0.0639599
+0.0656771
+0.0674217
+0.0691918
+0.0709853
+0.0942087
+0.0939624
+0.0937667
+0.0936219
+0.0935281
+0.0934856
+0.093488
+0.0935382
+0.0936397
+0.0937922
+0.0938546
+0.0935747
+0.0930014
+0.0914203
+0.0898636
+0.0883269
+0.0868167
+0.085336
+0.0838863
+0.0824694
+0.0810751
+0.0796129
+0.0781738
+0.0767693
+0.0754023
+0.0739497
+0.0723674
+0.0708176
+0.0693023
+0.0678239
+0.066385
+0.064988
+0.0636358
+0.0623312
+0.0610774
+0.0598728
+0.0587209
+0.0576293
+0.0566014
+0.0556408
+0.0547511
+0.0539357
+0.0531981
+0.0525416
+0.0519691
+0.051477
+0.0510732
+0.0507608
+0.0505415
+0.0504166
+0.0503867
+0.0504519
+0.0491464
+0.0478426
+0.0466054
+0.0454402
+0.0443526
+0.0433485
+0.0424338
+0.0416088
+0.0408677
+0.0402324
+0.039708
+0.0392988
+0.0390085
+0.0388399
+0.0387944
+0.0388725
+0.0390734
+0.0393953
+0.0398353
+0.0403895
+0.0405088
+0.0406091
+0.0408248
+0.0411561
+0.0416003
+0.0421537
+0.0428123
+0.0435458
+0.0443584
+0.0452626
+0.046253
+0.047324
+0.0484705
+0.0496833
+0.0509497
+0.0522747
+0.0536564
+0.0550906
+0.0565733
+0.0581008
+0.0596696
+0.0612732
+0.0629112
+0.0645821
+0.0662832
+0.0680123
+0.0697673
+0.0715464
+0.0954737
+0.0952307
+0.0950376
+0.0948947
+0.0947975
+0.0947458
+0.0947447
+0.0947943
+0.0948944
+0.0950449
+0.0952456
+0.095019
+0.0934321
+0.0918584
+0.0903093
+0.0887803
+0.0872779
+0.0858052
+0.0843636
+0.0829548
+0.0815781
+0.0801388
+0.0787093
+0.0773145
+0.0759574
+0.0746398
+0.073263
+0.0717325
+0.0702369
+0.0687787
+0.0673601
+0.0659838
+0.0646524
+0.0633688
+0.0621359
+0.0609523
+0.0598211
+0.0587499
+0.057742
+0.0568007
+0.0559295
+0.0551315
+0.0544101
+0.0537684
+0.0532069
+0.0527253
+0.0523312
+0.0520264
+0.0518125
+0.0516906
+0.0516614
+0.0517251
+0.0505397
+0.0492728
+0.0480723
+0.0469435
+0.0458916
+0.0449219
+0.0440399
+0.0432347
+0.042522
+0.0419118
+0.0414086
+0.0410164
+0.0407384
+0.0405769
+0.0405333
+0.0406081
+0.0408005
+0.0411089
+0.0415307
+0.0415567
+0.0415593
+0.0416585
+0.0418688
+0.0421919
+0.0426253
+0.0431656
+0.0438089
+0.0445416
+0.0453364
+0.0462215
+0.0471917
+0.048242
+0.0493671
+0.0505583
+0.0518047
+0.0531122
+0.0544758
+0.055889
+0.057351
+0.0588583
+0.0604075
+0.0619953
+0.0636189
+0.0652719
+0.0669555
+0.0686677
+0.0704064
+0.0721697
+0.0967717
+0.096532
+0.0963386
+0.096188
+0.0960871
+0.0960361
+0.096035
+0.0960839
+0.0961827
+0.0963312
+0.0965292
+0.0954851
+0.0939061
+0.0923464
+0.0908056
+0.0892852
+0.0877914
+0.0863274
+0.0848947
+0.0834949
+0.0821272
+0.0807205
+0.0793017
+0.0779175
+0.0765711
+0.0752643
+0.0739993
+0.0727019
+0.0712267
+0.0697892
+0.0683915
+0.0670364
+0.0657263
+0.0644641
+0.0632526
+0.0620902
+0.0609802
+0.0599297
+0.058942
+0.0580202
+0.0571675
+0.0563871
+0.055682
+0.055055
+0.0545037
+0.0540337
+0.0536492
+0.0533519
+0.0531433
+0.0530245
+0.0529961
+0.0530581
+0.0519879
+0.0507571
+0.0495927
+0.0484993
+0.0474818
+0.0465453
+0.0456893
+0.0449087
+0.0442229
+0.0436365
+0.0431534
+0.0427772
+0.0425107
+0.042356
+0.0423143
+0.0423859
+0.0425702
+0.0428659
+0.0428032
+0.042694
+0.0426965
+0.0427944
+0.0429991
+0.0433138
+0.043736
+0.0442628
+0.0448904
+0.0456017
+0.0463973
+0.0472625
+0.0482118
+0.0492403
+0.0503431
+0.0515118
+0.0527356
+0.0540206
+0.0553624
+0.0567571
+0.0581989
+0.0596848
+0.0612131
+0.0627806
+0.0643844
+0.066022
+0.067691
+0.0693861
+0.0711072
+0.0728536
+0.0981003
+0.0978544
+0.097657
+0.0975084
+0.0974089
+0.0973585
+0.0973575
+0.0974057
+0.0975031
+0.0976497
+0.0975894
+0.095995
+0.0944245
+0.0928791
+0.0913518
+0.0898407
+0.0883563
+0.0869018
+0.0854788
+0.0840887
+0.0827307
+0.0813457
+0.0799498
+0.078577
+0.077242
+0.0759468
+0.0746934
+0.0734838
+0.0722694
+0.070853
+0.0694768
+0.0681432
+0.0668548
+0.0656143
+0.0644245
+0.0632836
+0.0621949
+0.0611653
+0.0601978
+0.0592955
+0.0584615
+0.0576985
+0.0570096
+0.0563962
+0.0558563
+0.0553979
+0.0550229
+0.054733
+0.0545297
+0.054414
+0.0543862
+0.0544467
+0.0534867
+0.0522912
+0.0511617
+0.0501025
+0.0491183
+0.0482135
+0.0473778
+0.0466255
+0.0459653
+0.0454014
+0.0449373
+0.0445762
+0.0443205
+0.0441721
+0.0441321
+0.0442008
+0.0443776
+0.0442142
+0.0440178
+0.0439112
+0.0439137
+0.0440101
+0.0442092
+0.0445153
+0.0449263
+0.0454393
+0.0460508
+0.0467395
+0.0475171
+0.0483804
+0.0493081
+0.0503142
+0.0513941
+0.0525393
+0.0537397
+0.0550012
+0.0563197
+0.0576913
+0.0591123
+0.0605791
+0.0620855
+0.0636315
+0.0652145
+0.0668318
+0.0684809
+0.0701597
+0.0718661
+0.0735963
+0.0994436
+0.099201
+0.0990063
+0.0988597
+0.0987615
+0.0987119
+0.0987109
+0.0987584
+0.0988545
+0.098999
+0.0981373
+0.096552
+0.0949906
+0.0934546
+0.0919451
+0.0904458
+0.0889715
+0.0875273
+0.0861145
+0.0847349
+0.0833874
+0.0820247
+0.0806508
+0.0792916
+0.0779688
+0.0766859
+0.0754447
+0.0742474
+0.0730962
+0.0719678
+0.0706133
+0.0693016
+0.0680352
+0.0668166
+0.0656485
+0.0645293
+0.063462
+0.0624532
+0.061506
+0.0606232
+0.0598077
+0.0590621
+0.0583893
+0.0577877
+0.0572609
+0.0568138
+0.0564482
+0.0561657
+0.0559676
+0.0558548
+0.0558278
+0.0558867
+0.0550318
+0.0538707
+0.052775
+0.0517488
+0.0507965
+0.0499171
+0.049106
+0.0483805
+0.0477447
+0.047202
+0.0467558
+0.0464088
+0.0461633
+0.0460208
+0.0459824
+0.0460484
+0.0457916
+0.0454989
+0.0453054
+0.0452018
+0.0452042
+0.0452992
+0.0454926
+0.0457902
+0.0461898
+0.0466889
+0.0472816
+0.0479504
+0.0487087
+0.0495522
+0.050475
+0.0514583
+0.0525146
+0.0536367
+0.0548131
+0.0560504
+0.0573448
+0.0586924
+0.0600897
+0.0615333
+0.0630199
+0.0645457
+0.0661067
+0.0677027
+0.0693312
+0.0709899
+0.0726768
+0.0743899
+0.100817
+0.100577
+0.100385
+0.100241
+0.100144
+0.100095
+0.100094
+0.100141
+0.100236
+0.100327
+0.0987308
+0.0971551
+0.0956036
+0.0940776
+0.0925783
+0.0910996
+0.0896361
+0.0882027
+0.086801
+0.0854324
+0.084091
+0.0827561
+0.0813945
+0.0800597
+0.0787499
+0.0774798
+0.0762516
+0.0750672
+0.0739287
+0.0728384
+0.0717891
+0.070509
+0.0692647
+0.0680681
+0.0669219
+0.0658244
+0.0647783
+0.0637904
+0.0628634
+0.0619999
+0.0612027
+0.0604744
+0.0598172
+0.0592275
+0.0587136
+0.0582776
+0.0579212
+0.057646
+0.057453
+0.0573431
+0.0573168
+0.0573742
+0.0566196
+0.0554917
+0.0544286
+0.0534343
+0.0525125
+0.0516532
+0.0508698
+0.0501699
+0.049557
+0.0490344
+0.048605
+0.0482713
+0.0480353
+0.0478984
+0.0478615
+0.0475188
+0.0471351
+0.0468508
+0.0466604
+0.0465598
+0.0465621
+0.0466518
+0.0468397
+0.0471287
+0.0475171
+0.0480024
+0.0485778
+0.049229
+0.0499679
+0.0507906
+0.0516931
+0.0526558
+0.0536885
+0.0547894
+0.0559517
+0.0571644
+0.0584341
+0.0597571
+0.0611301
+0.0625496
+0.0640127
+0.0655163
+0.0670579
+0.0686326
+0.0702395
+0.0718772
+0.0735437
+0.0752372
+0.102218
+0.101982
+0.101793
+0.10165
+0.101555
+0.101506
+0.101505
+0.101552
+0.101645
+0.100953
+0.0993639
+0.0977984
+0.0962573
+0.0947418
+0.0932531
+0.0917926
+0.0903489
+0.088927
+0.0875369
+0.08618
+0.0848392
+0.083532
+0.08219
+0.0808783
+0.0795835
+0.078327
+0.0771123
+0.0759413
+0.0748162
+0.073739
+0.0727018
+0.0716889
+0.0705409
+0.0693663
+0.0682419
+0.0671659
+0.0661411
+0.0651739
+0.0642668
+0.0634224
+0.0626433
+0.0619319
+0.0612876
+0.0607122
+0.060211
+0.0597859
+0.0594386
+0.0591704
+0.0589824
+0.0588754
+0.0588497
+0.0589056
+0.0582465
+0.0571507
+0.0561191
+0.0551552
+0.0542578
+0.0534228
+0.0526657
+0.05199
+0.0513988
+0.0508951
+0.0504815
+0.0501603
+0.0499332
+0.0498016
+0.0493802
+0.048913
+0.0485404
+0.0482644
+0.048077
+0.0479794
+0.0479817
+0.0480651
+0.0482474
+0.048528
+0.0489053
+0.049377
+0.0499366
+0.0505703
+0.0512899
+0.0520917
+0.052972
+0.0539155
+0.0549246
+0.0560013
+0.0571416
+0.0583393
+0.059584
+0.0608821
+0.0622302
+0.0636252
+0.0650641
+0.066544
+0.0680622
+0.0696163
+0.0712014
+0.0728175
+0.074463
+0.076136
+0.103647
+0.103414
+0.103227
+0.103087
+0.102993
+0.102945
+0.102944
+0.10299
+0.103082
+0.101618
+0.10004
+0.0984851
+0.0969549
+0.0954505
+0.0939731
+0.0925239
+0.0911044
+0.089699
+0.088321
+0.0869677
+0.0856369
+0.0843421
+0.0830356
+0.0817374
+0.080464
+0.0792214
+0.0780206
+0.0768635
+0.075752
+0.0746883
+0.0736684
+0.0726689
+0.0717225
+0.0707085
+0.0696058
+0.0685512
+0.0675474
+0.0666006
+0.0657132
+0.0648877
+0.0641264
+0.0634317
+0.0628
+0.0622386
+0.0617498
+0.0613354
+0.0609969
+0.0607356
+0.0605524
+0.0604482
+0.0604232
+0.0604777
+0.0599094
+0.0588446
+0.0578431
+0.0569085
+0.0560308
+0.0552226
+0.0544905
+0.0538377
+0.053267
+0.0527811
+0.0523825
+0.052073
+0.0518543
+0.0513611
+0.0508178
+0.050364
+0.0500022
+0.0497343
+0.0495501
+0.0494553
+0.0494545
+0.0495349
+0.0497118
+0.0499843
+0.0503506
+0.0508089
+0.0513529
+0.0519694
+0.0526698
+0.0534509
+0.0543092
+0.0552335
+0.0562189
+0.0572712
+0.0583868
+0.0595621
+0.0607911
+0.062064
+0.063387
+0.0647571
+0.0661713
+0.067627
+0.0691215
+0.0706523
+0.0722146
+0.0738086
+0.0754324
+0.0770844
+0.105102
+0.104872
+0.104688
+0.10455
+0.104457
+0.10441
+0.104409
+0.104454
+0.103916
+0.102326
+0.100759
+0.0992155
+0.0976967
+0.0962039
+0.0947382
+0.093301
+0.0918935
+0.0905171
+0.0891448
+0.0878007
+0.0864828
+0.0852008
+0.0839298
+0.0826458
+0.081393
+0.0801648
+0.0789783
+0.0778355
+0.0767381
+0.0756883
+0.0746867
+0.0737011
+0.072768
+0.0718897
+0.0710111
+0.0699777
+0.0689947
+0.068068
+0.0672
+0.0663929
+0.0656491
+0.0649686
+0.0643515
+0.0638037
+0.063327
+0.062923
+0.0625931
+0.0623384
+0.06216
+0.0620585
+0.0620342
+0.0620872
+0.0616053
+0.0605703
+0.0595978
+0.0586865
+0.0578324
+0.0570497
+0.0563414
+0.0557102
+0.0551589
+0.0546899
+0.0543052
+0.0540068
+0.0534483
+0.0528357
+0.0523077
+0.0518669
+0.0515157
+0.0512557
+0.0510746
+0.0509827
+0.0509784
+0.0510564
+0.0512281
+0.0514925
+0.0518482
+0.0522934
+0.0528221
+0.0534216
+0.0541032
+0.0548639
+0.0557005
+0.0566056
+0.0575675
+0.0585956
+0.0596865
+0.0608366
+0.0620429
+0.0632996
+0.0645973
+0.0659423
+0.0673317
+0.0687628
+0.0702331
+0.0717401
+0.0732793
+0.0748506
+0.0764523
+0.0780827
+0.106582
+0.106356
+0.106174
+0.106038
+0.105946
+0.1059
+0.105899
+0.105943
+0.104654
+0.103076
+0.10152
+0.0999885
+0.0984817
+0.097001
+0.0955475
+0.0941226
+0.0927275
+0.0913637
+0.0900102
+0.0886801
+0.0873754
+0.0861067
+0.0848712
+0.0836016
+0.0823698
+0.0811564
+0.0799847
+0.0788564
+0.0777734
+0.0767377
+0.0757473
+0.0747831
+0.0738638
+0.0729968
+0.0721739
+0.0713933
+0.0704803
+0.0695734
+0.0687244
+0.0679355
+0.0672087
+0.0665416
+0.0659393
+0.0654048
+0.0649398
+0.0645459
+0.0642243
+0.0639762
+0.0638023
+0.0637034
+0.0636797
+0.0637314
+0.0633315
+0.0623252
+0.0613806
+0.0604883
+0.0596601
+0.0589017
+0.0582159
+0.0576053
+0.0570723
+0.0566191
+0.0562476
+0.055627
+0.0549542
+0.0543586
+0.0538455
+0.0534175
+0.0530764
+0.0528241
+0.0526461
+0.052557
+0.0525495
+0.0526252
+0.0527918
+0.0530484
+0.0533938
+0.0538261
+0.0543399
+0.0549229
+0.0555861
+0.0563268
+0.0571419
+0.058028
+0.0589667
+0.0599708
+0.0610371
+0.0621623
+0.0633433
+0.064577
+0.0658583
+0.0671781
+0.0685424
+0.0699487
+0.0713946
+0.0728777
+0.0743933
+0.0759415
+0.0775208
+0.0791291
+0.108087
+0.107863
+0.107684
+0.10755
+0.107459
+0.107414
+0.107413
+0.107021
+0.105433
+0.103866
+0.102323
+0.100803
+0.0993088
+0.0978406
+0.0963998
+0.0949876
+0.0936055
+0.0922546
+0.0909201
+0.0896041
+0.0883133
+0.0870583
+0.0858408
+0.0846035
+0.0833873
+0.0821945
+0.0810377
+0.0799243
+0.078856
+0.0778314
+0.0768517
+0.0759124
+0.0750062
+0.0741435
+0.0733334
+0.0725604
+0.0718275
+0.0711145
+0.0702841
+0.0695128
+0.0688016
+0.0681488
+0.0675607
+0.0670392
+0.0665856
+0.0662015
+0.065888
+0.0656462
+0.0654768
+0.0653804
+0.0653573
+0.0654076
+0.0650857
+0.0641069
+0.0631845
+0.0623151
+0.0615114
+0.0607761
+0.0601117
+0.0595206
+0.0590049
+0.0585667
+0.0578711
+0.0571543
+0.0565049
+0.0559258
+0.0554273
+0.0550115
+0.0546804
+0.0544353
+0.0542607
+0.0541742
+0.0541637
+0.0542371
+0.0543988
+0.0546478
+0.0549831
+0.0554031
+0.0559024
+0.0564692
+0.0571145
+0.0578356
+0.0586297
+0.059494
+0.0604129
+0.0613934
+0.0624354
+0.0635358
+0.0646917
+0.0659002
+0.0671585
+0.0684616
+0.0698009
+0.0711824
+0.0726037
+0.0740625
+0.0755544
+0.0770793
+0.0786357
+0.0802217
+0.109614
+0.109394
+0.109218
+0.109085
+0.108996
+0.108951
+0.10895
+0.107825
+0.106249
+0.104695
+0.103163
+0.101657
+0.100175
+0.0987195
+0.0972917
+0.0958927
+0.0945238
+0.0931863
+0.0918733
+0.0905716
+0.0892952
+0.0880541
+0.0868506
+0.0856496
+0.0844485
+0.0832772
+0.0821357
+0.0810374
+0.0799813
+0.0789675
+0.078002
+0.0770769
+0.0761844
+0.0753364
+0.0745394
+0.0737723
+0.0730515
+0.0723898
+0.0717889
+0.0711227
+0.0704253
+0.0697877
+0.0692136
+0.0687045
+0.0682621
+0.0678874
+0.0675818
+0.067346
+0.0671809
+0.0670869
+0.0670644
+0.0671135
+0.0668657
+0.0659133
+0.0650093
+0.0641646
+0.0633844
+0.0626711
+0.062027
+0.0614543
+0.060955
+0.060191
+0.0594215
+0.0587236
+0.0580969
+0.0575338
+0.0570493
+0.0566454
+0.056324
+0.0560838
+0.0559144
+0.0558304
+0.0558171
+0.0558884
+0.0560453
+0.0562871
+0.0566127
+0.0570206
+0.0575059
+0.0580571
+0.0586849
+0.0593869
+0.0601606
+0.0610031
+0.0619029
+0.0628601
+0.0638782
+0.0649542
+0.0660853
+0.0672688
+0.0685019
+0.0697819
+0.0711046
+0.0724613
+0.073858
+0.0752925
+0.0767605
+0.0782619
+0.0797952
+0.0813586
+0.111164
+0.110947
+0.110773
+0.110642
+0.110554
+0.11051
+0.110252
+0.108667
+0.107103
+0.105561
+0.104043
+0.102549
+0.10108
+0.0996378
+0.0982234
+0.0968379
+0.0954825
+0.0941586
+0.0928675
+0.091581
+0.0903195
+0.0890927
+0.0879034
+0.0867384
+0.0855527
+0.0844029
+0.0832769
+0.0821917
+0.0811464
+0.0801473
+0.0791963
+0.0782853
+0.0774067
+0.0765735
+0.0757894
+0.0750256
+0.0743169
+0.0736666
+0.0730762
+0.0725472
+0.0720762
+0.0714534
+0.0708927
+0.0703959
+0.0699641
+0.0695986
+0.0693005
+0.0690706
+0.0689096
+0.068818
+0.0687961
+0.0688439
+0.0686694
+0.0677381
+0.0668561
+0.0660351
+0.0652772
+0.0645848
+0.06396
+0.0634047
+0.0625765
+0.0617609
+0.0610112
+0.0603317
+0.0597238
+0.0591762
+0.0587052
+0.0583129
+0.0580006
+0.0577685
+0.057604
+0.0575207
+0.0575065
+0.0575757
+0.057728
+0.0579628
+0.058279
+0.0586753
+0.0591471
+0.0596831
+0.060294
+0.0609775
+0.0617312
+0.0625526
+0.063433
+0.0643675
+0.0653621
+0.066414
+0.0675207
+0.0686794
+0.0698877
+0.0711428
+0.0724425
+0.0737775
+0.0751518
+0.0765641
+0.0780094
+0.0794873
+0.0809974
+0.082538
+0.112735
+0.112521
+0.112349
+0.11222
+0.112134
+0.11209
+0.111118
+0.109545
+0.107994
+0.106465
+0.10496
+0.103479
+0.102024
+0.100596
+0.0991947
+0.097823
+0.0964814
+0.0951714
+0.0938943
+0.0926311
+0.0913841
+0.0901718
+0.0889969
+0.087861
+0.0866981
+0.0855679
+0.0844579
+0.0833835
+0.0823533
+0.0813691
+0.0804325
+0.0795356
+0.078671
+0.0778525
+0.0770697
+0.0763171
+0.0756206
+0.0749816
+0.0744016
+0.0738821
+0.0734233
+0.0730156
+0.0725921
+0.0721069
+0.0716855
+0.0713288
+0.0710379
+0.0708137
+0.0706567
+0.0705674
+0.070546
+0.0705926
+0.070495
+0.0695815
+0.0687231
+0.0679246
+0.0671881
+0.0665156
+0.0658706
+0.06502
+0.0641628
+0.0633676
+0.0626371
+0.0619754
+0.0613838
+0.0608512
+0.0603933
+0.060012
+0.0597086
+0.0594844
+0.0593263
+0.0592425
+0.0592287
+0.0592959
+0.0594438
+0.0596718
+0.059979
+0.0603642
+0.0608228
+0.0613442
+0.0619387
+0.0626043
+0.0633387
+0.0641395
+0.0649984
+0.0659107
+0.0668823
+0.0679107
+0.0689934
+0.0701278
+0.0713115
+0.072542
+0.0738171
+0.0751277
+0.0764777
+0.0778659
+0.0792904
+0.0807492
+0.0822399
+0.0837581
+0.093299
+0.0914403
+0.0895966
+0.0877689
+0.0859581
+0.0841653
+0.0823919
+0.0806389
+0.0789078
+0.0772
+0.0755141
+0.0738543
+0.0722227
+0.0706214
+0.0690525
+0.0675183
+0.066021
+0.0645634
+0.0631482
+0.0617782
+0.0604544
+0.0591732
+0.0579465
+0.0567779
+0.055671
+0.0546295
+0.0536573
+0.0527582
+0.051936
+0.0511945
+0.050537
+0.0499671
+0.0494876
+0.0491013
+0.0488086
+0.0485956
+0.0484807
+0.0484647
+0.0485477
+0.0487291
+0.0490078
+0.0493822
+0.0498502
+0.0504091
+0.051056
+0.0517875
+0.0526002
+0.0534903
+0.054454
+0.0554799
+0.0565652
+0.0577133
+0.0589205
+0.0601832
+0.0614981
+0.0628619
+0.0642714
+0.0657237
+0.067216
+0.0687448
+0.0703079
+0.0719037
+0.0735302
+0.0751853
+0.0768673
+0.0785743
+0.0803048
+0.0820573
+0.0838304
+0.0856228
+0.0874334
+0.089261
+0.0911046
+0.0929633
+0.0948362
+0.0965639
+0.0981731
+0.0998044
+0.101457
+0.103129
+0.104821
+0.106483
+0.10815
+0.109835
+0.110663
+0.111112
+0.1116
+0.112128
+0.112697
+0.113305
+0.113952
+0.114637
+0.115356
+0.116076
+0.116827
+0.117606
+0.118421
+0.11927
+0.120151
+0.121034
+0.0924011
+0.090524
+0.0886612
+0.0868137
+0.0849826
+0.0831689
+0.0813736
+0.0795983
+0.077844
+0.0761124
+0.074405
+0.0727222
+0.0710647
+0.0694367
+0.0678404
+0.0662781
+0.0647522
+0.0632654
+0.0618204
+0.0604204
+0.0590684
+0.0577584
+0.056501
+0.0553018
+0.0541647
+0.0530937
+0.0520929
+0.0511663
+0.0503181
+0.0495523
+0.0488728
+0.0482832
+0.0477868
+0.0473866
+0.0470851
+0.0468771
+0.046758
+0.0467414
+0.0468274
+0.0470154
+0.0473042
+0.047692
+0.0481764
+0.0487545
+0.0494231
+0.0501784
+0.0510167
+0.051934
+0.052926
+0.053981
+0.0550958
+0.0562739
+0.0575113
+0.0588043
+0.0601494
+0.061543
+0.062982
+0.0644634
+0.0659842
+0.0675409
+0.0691312
+0.0707536
+0.0724059
+0.0740862
+0.0757925
+0.0775232
+0.0792766
+0.0810513
+0.082846
+0.0846593
+0.08649
+0.0883371
+0.0901997
+0.0920766
+0.0938633
+0.0954678
+0.0970952
+0.0987443
+0.100414
+0.102104
+0.103765
+0.105429
+0.107112
+0.108813
+0.109488
+0.109939
+0.110432
+0.110966
+0.11154
+0.112155
+0.112808
+0.1135
+0.11423
+0.114997
+0.1158
+0.116604
+0.117426
+0.118282
+0.119126
+0.119947
+0.0915437
+0.0896486
+0.0877672
+0.0859005
+0.0840495
+0.0822152
+0.0803987
+0.0786013
+0.0768243
+0.0750692
+0.0733375
+0.0716309
+0.0699514
+0.0683006
+0.0666782
+0.065088
+0.0635336
+0.0620175
+0.0605428
+0.0591125
+0.0577299
+0.0563888
+0.0551001
+0.0538698
+0.0527018
+0.0516005
+0.0505701
+0.0496151
+0.0487399
+0.0479489
+0.0472463
+0.0466362
+0.0461221
+0.0457073
+0.0453946
+0.0451861
+0.0450758
+0.0450586
+0.0451478
+0.0453428
+0.0456422
+0.046044
+0.0465456
+0.0471437
+0.0478348
+0.0486148
+0.0494796
+0.0504248
+0.051446
+0.0525306
+0.0536756
+0.0548842
+0.0561522
+0.0574758
+0.0588512
+0.0602749
+0.0617435
+0.0632538
+0.0648031
+0.0663875
+0.0680048
+0.0696534
+0.0713312
+0.0730362
+0.0747665
+0.0765204
+0.0782963
+0.0800927
+0.0819084
+0.0837419
+0.0855923
+0.0874584
+0.0893393
+0.0911875
+0.092787
+0.0944098
+0.0960551
+0.0977218
+0.0994089
+0.101068
+0.102729
+0.104384
+0.105813
+0.107268
+0.108342
+0.108798
+0.109296
+0.109835
+0.110415
+0.111036
+0.111696
+0.112395
+0.113132
+0.113906
+0.114717
+0.115564
+0.116398
+0.117156
+0.11795
+0.118778
+0.0907284
+0.0888159
+0.0869166
+0.0850312
+0.0831609
+0.0813065
+0.0794692
+0.0776503
+0.075851
+0.0740728
+0.0723173
+0.0705861
+0.068881
+0.0672042
+0.0655576
+0.0639437
+0.062365
+0.0608229
+0.0593186
+0.057858
+0.0564447
+0.0550723
+0.0537521
+0.0524902
+0.0512908
+0.0501585
+0.0490979
+0.0481136
+0.0472106
+0.0463936
+0.0456671
+0.0450355
+0.0445029
+0.0440729
+0.0437485
+0.0435321
+0.0434252
+0.0434212
+0.0435138
+0.043716
+0.0440265
+0.0444429
+0.0449624
+0.0455813
+0.0462956
+0.0471012
+0.0479933
+0.0489672
+0.0500181
+0.0511331
+0.0523086
+0.0535481
+0.054847
+0.0562014
+0.0576072
+0.0590609
+0.0605589
+0.0620981
+0.0636754
+0.0652872
+0.0669311
+0.0686055
+0.0703084
+0.0720375
+0.0737913
+0.0755678
+0.0773656
+0.0791831
+0.0810192
+0.0828724
+0.0847418
+0.0866262
+0.0885247
+0.0901325
+0.0917505
+0.0933912
+0.0950542
+0.0967381
+0.0983946
+0.0999623
+0.101359
+0.102784
+0.104235
+0.105712
+0.107213
+0.107684
+0.108192
+0.108737
+0.109323
+0.109949
+0.110616
+0.111321
+0.112065
+0.112847
+0.113634
+0.11441
+0.11521
+0.115968
+0.116762
+0.117592
+0.0899592
+0.08803
+0.0861133
+0.0842099
+0.0823209
+0.0804472
+0.0785898
+0.0767501
+0.0749292
+0.0731286
+0.0713498
+0.0695946
+0.0678646
+0.066162
+0.0644888
+0.0628475
+0.0612405
+0.0596698
+0.0581369
+0.0566472
+0.0552043
+0.0538119
+0.052461
+0.0511672
+0.0499361
+0.0487723
+0.0476808
+0.0466668
+0.0457352
+0.0448913
+0.0441401
+0.0434863
+0.0429345
+0.0424887
+0.0421521
+0.0419274
+0.0418164
+0.0418201
+0.0419305
+0.0421404
+0.0424624
+0.042894
+0.043432
+0.0440723
+0.0448108
+0.0456425
+0.0465626
+0.0475658
+0.048647
+0.0497927
+0.0509992
+0.0522697
+0.0535996
+0.0549847
+0.0564208
+0.0579043
+0.0594315
+0.0609991
+0.0626042
+0.0642428
+0.0659127
+0.0676124
+0.0693396
+0.0710924
+0.0728689
+0.0746673
+0.0764863
+0.0783242
+0.0801799
+0.0820521
+0.0839398
+0.0858418
+0.0875067
+0.0891189
+0.0907549
+0.0924134
+0.0940936
+0.0955869
+0.0969478
+0.0983387
+0.0997583
+0.101205
+0.102679
+0.104178
+0.1057
+0.106594
+0.107111
+0.10767
+0.108263
+0.108896
+0.109569
+0.110281
+0.110988
+0.111686
+0.112422
+0.113195
+0.114006
+0.114795
+0.115594
+0.116397
+0.0892371
+0.0872919
+0.0853586
+0.0834381
+0.0815312
+0.0796389
+0.0777622
+0.0759024
+0.0740607
+0.0722385
+0.0704372
+0.0686586
+0.0669045
+0.0651768
+0.0634776
+0.0618094
+0.0601748
+0.0585755
+0.0570132
+0.0554934
+0.0540196
+0.0525959
+0.0512263
+0.0499054
+0.0486423
+0.0474468
+0.0463241
+0.0452797
+0.0443189
+0.0434475
+0.0426709
+0.0419943
+0.0414226
+0.0409603
+0.0406111
+0.0403778
+0.0402626
+0.0402664
+0.0403892
+0.0406218
+0.0409558
+0.0414031
+0.0419601
+0.0426227
+0.0433858
+0.0442443
+0.0451928
+0.0462258
+0.0473376
+0.0485142
+0.0497517
+0.0510533
+0.0524141
+0.0538297
+0.0552958
+0.0568087
+0.0583645
+0.0599601
+0.0615922
+0.0632571
+0.0649524
+0.0666765
+0.0684274
+0.0702029
+0.0720013
+0.0738209
+0.0756602
+0.0775178
+0.0793923
+0.0812827
+0.0831878
+0.0849128
+0.0865178
+0.0881481
+0.0898018
+0.0912647
+0.0925855
+0.0939388
+0.0953233
+0.0967375
+0.0981803
+0.0996503
+0.101146
+0.102667
+0.104212
+0.105537
+0.106059
+0.106624
+0.10723
+0.107877
+0.108483
+0.109109
+0.109775
+0.11048
+0.111224
+0.112007
+0.112809
+0.113546
+0.114308
+0.115106
+0.088555
+0.086601
+0.084654
+0.0827171
+0.0807932
+0.0788832
+0.0769881
+0.0751091
+0.0732474
+0.0714044
+0.0695816
+0.0677806
+0.0660031
+0.0642511
+0.0625269
+0.0608326
+0.059171
+0.0575438
+0.0559527
+0.0544032
+0.0528992
+0.0514444
+0.0500433
+0.0487004
+0.0474136
+0.0461863
+0.0450322
+0.0439571
+0.0429668
+0.0420674
+0.0412648
+0.0405648
+0.0399727
+0.0394934
+0.039131
+0.0388889
+0.0387692
+0.0387732
+0.0389007
+0.0391505
+0.0395037
+0.0399673
+0.0405441
+0.0412293
+0.0420178
+0.0429037
+0.0438812
+0.0449443
+0.0460871
+0.0473027
+0.0485711
+0.0499034
+0.0512948
+0.0527404
+0.054236
+0.0557776
+0.0573614
+0.0589841
+0.0606425
+0.0623328
+0.0640525
+0.0658003
+0.0675738
+0.0693712
+0.0711906
+0.0730305
+0.0748892
+0.0767654
+0.0786579
+0.0805654
+0.0823537
+0.0839505
+0.0855736
+0.0870036
+0.0882794
+0.0895907
+0.0909358
+0.0923133
+0.0937217
+0.0951598
+0.0966261
+0.0981194
+0.0996385
+0.101182
+0.10275
+0.104339
+0.105043
+0.105613
+0.10613
+0.106679
+0.107271
+0.107904
+0.108577
+0.10929
+0.110042
+0.110833
+0.111531
+0.112265
+0.113035
+0.113843
+0.08792
+0.0859516
+0.0839942
+0.0820483
+0.0801083
+0.0781815
+0.076269
+0.0743719
+0.0724913
+0.0706286
+0.0687852
+0.0669627
+0.0651629
+0.0633878
+0.0616393
+0.05992
+0.0582323
+0.0565782
+0.0549591
+0.0533808
+0.0518471
+0.050362
+0.0489299
+0.0475556
+0.0462443
+0.0449952
+0.0438097
+0.0427038
+0.0416838
+0.0407561
+0.0399271
+0.0392032
+0.0385902
+0.0380935
+0.0377177
+0.0374665
+0.0373423
+0.0373463
+0.0374787
+0.037738
+0.0381077
+0.0385881
+0.0391852
+0.0398938
+0.0407081
+0.0416219
+0.0426288
+0.0437224
+0.0448963
+0.0461444
+0.0474531
+0.0488194
+0.050244
+0.051721
+0.0532453
+0.0548148
+0.0564256
+0.0580745
+0.0597581
+0.0614727
+0.0632158
+0.0649861
+0.0667813
+0.0685994
+0.0704388
+0.0722977
+0.0741748
+0.0760686
+0.077978
+0.0798328
+0.0814201
+0.0828059
+0.0840328
+0.0852968
+0.0865978
+0.0879342
+0.0893043
+0.0907066
+0.0921396
+0.093602
+0.0950924
+0.0966094
+0.0981519
+0.0997187
+0.101309
+0.102921
+0.10391
+0.104408
+0.104923
+0.105479
+0.106078
+0.106718
+0.107398
+0.108119
+0.10888
+0.109568
+0.110271
+0.111012
+0.111791
+0.112608
+0.0873353
+0.0853535
+0.0833821
+0.0814219
+0.0794738
+0.0775355
+0.0756066
+0.0736924
+0.071794
+0.0699128
+0.06805
+0.0662073
+0.0643864
+0.0625892
+0.0608178
+0.0590746
+0.057362
+0.0556821
+0.0540361
+0.0524301
+0.0508677
+0.0493531
+0.0478908
+0.0464858
+0.0451435
+0.0438695
+0.0426648
+0.0415284
+0.0404787
+0.0395227
+0.0386673
+0.0379194
+0.0372853
+0.036771
+0.0363815
+0.036121
+0.0359921
+0.0359964
+0.0361337
+0.0364025
+0.0367893
+0.0372867
+0.0379043
+0.0386364
+0.0394767
+0.0404183
+0.0414545
+0.0425782
+0.0437828
+0.0450617
+0.046401
+0.0477974
+0.0492516
+0.0507587
+0.0523141
+0.0539137
+0.0555537
+0.0572305
+0.0589387
+0.0606756
+0.062441
+0.0642326
+0.0660482
+0.067886
+0.0697442
+0.0716212
+0.0735155
+0.0754259
+0.0773512
+0.0786797
+0.0798497
+0.0810606
+0.082312
+0.083602
+0.084929
+0.0862912
+0.0876869
+0.0891147
+0.0905729
+0.0920602
+0.0935751
+0.0951164
+0.0966827
+0.0982729
+0.0998859
+0.101515
+0.102731
+0.103226
+0.103747
+0.10431
+0.104915
+0.105562
+0.10625
+0.106978
+0.107656
+0.108327
+0.109037
+0.109787
+0.110575
+0.111401
+0.0868021
+0.0848078
+0.0828234
+0.0808497
+0.0788874
+0.0769374
+0.0750008
+0.0730724
+0.0711574
+0.0692589
+0.067378
+0.0655164
+0.0636758
+0.0618579
+0.060065
+0.0582992
+0.0565632
+0.0548588
+0.0531874
+0.0515549
+0.0499651
+0.0484223
+0.0469311
+0.0454964
+0.044124
+0.0428197
+0.0415899
+0.0404375
+0.0393588
+0.0383749
+0.0374933
+0.0367215
+0.0360663
+0.0355344
+0.0351312
+0.0348613
+0.0347278
+0.0347322
+0.0348745
+0.035153
+0.0355571
+0.0360714
+0.0367095
+0.037465
+0.0383309
+0.0393001
+0.0403649
+0.0415181
+0.0427526
+0.0440614
+0.0454303
+0.0468555
+0.0483381
+0.0498728
+0.051455
+0.0530806
+0.0547455
+0.0564463
+0.0581799
+0.0599435
+0.0617301
+0.0635418
+0.0653766
+0.0672328
+0.0691085
+0.0710023
+0.0729128
+0.0746401
+0.0757525
+0.0769031
+0.0780982
+0.0793358
+0.0806139
+0.0819307
+0.0832843
+0.084673
+0.0860949
+0.0875487
+0.0890326
+0.0905451
+0.092085
+0.0936508
+0.0952412
+0.0968551
+0.0984709
+0.100106
+0.101582
+0.102078
+0.102605
+0.103173
+0.103785
+0.104439
+0.105134
+0.105796
+0.106433
+0.107111
+0.10783
+0.108588
+0.109385
+0.110219
+0.0863211
+0.0843154
+0.0823192
+0.0803331
+0.0783579
+0.0763944
+0.0744436
+0.0725066
+0.0705831
+0.0686686
+0.0667712
+0.0648922
+0.0630333
+0.0611964
+0.0593835
+0.0575968
+0.055839
+0.0541117
+0.0524165
+0.0507593
+0.0491438
+0.0475743
+0.0460556
+0.0445928
+0.0431917
+0.0418583
+0.0405995
+0.0394222
+0.0383314
+0.0373205
+0.0364134
+0.0356181
+0.0349423
+0.034393
+0.0339763
+0.0336971
+0.033559
+0.0335635
+0.0337107
+0.0339988
+0.0344204
+0.0349514
+0.0356096
+0.0363879
+0.0372788
+0.0382746
+0.0393672
+0.0405488
+0.0418119
+0.0431493
+0.0445462
+0.0459988
+0.0475081
+0.0490688
+0.0506762
+0.0523259
+0.0540141
+0.0557372
+0.0574922
+0.0592763
+0.0610824
+0.0629127
+0.0647654
+0.0666386
+0.0685306
+0.0704399
+0.0717363
+0.0728377
+0.0739688
+0.0751467
+0.0763693
+0.0776344
+0.0789401
+0.0802844
+0.0816653
+0.083081
+0.0845298
+0.0860099
+0.0875199
+0.0890582
+0.0906233
+0.092214
+0.0938161
+0.0954303
+0.0970672
+0.0987255
+0.10036
+0.100911
+0.10146
+0.102053
+0.102689
+0.10335
+0.103995
+0.104597
+0.105242
+0.105928
+0.106654
+0.107421
+0.108226
+0.109069
+0.0858934
+0.0838775
+0.0818705
+0.0798733
+0.0778864
+0.0759107
+0.0739472
+0.0719968
+0.0700605
+0.0681397
+0.0662313
+0.0643365
+0.0624611
+0.0606069
+0.0587758
+0.0569701
+0.0551922
+0.0534441
+0.051727
+0.0500469
+0.0484077
+0.0468135
+0.0452693
+0.0437803
+0.0423523
+0.0409916
+0.0397053
+0.0385007
+0.0373858
+0.0363635
+0.0354319
+0.0346141
+0.0339183
+0.0333521
+0.0329222
+0.0326341
+0.0324914
+0.0324961
+0.0326481
+0.0329454
+0.0333808
+0.0339281
+0.0346057
+0.0354061
+0.0363212
+0.0373425
+0.0384616
+0.0396702
+0.0409604
+0.0423247
+0.0437538
+0.0452321
+0.0467662
+0.0483508
+0.0499812
+0.0516532
+0.0533626
+0.0551062
+0.0568806
+0.0586833
+0.0605071
+0.0623543
+0.0642231
+0.0661117
+0.067818
+0.0688494
+0.0699282
+0.0710484
+0.0722075
+0.0734137
+0.0746646
+0.0759582
+0.0772922
+0.0786646
+0.0800734
+0.0815168
+0.0829929
+0.0845
+0.0860365
+0.0876008
+0.0891874
+0.0907782
+0.0923936
+0.0940322
+0.095693
+0.0973747
+0.0990729
+0.0997294
+0.100304
+0.100904
+0.101547
+0.102234
+0.102822
+0.103431
+0.104083
+0.104776
+0.105511
+0.106285
+0.107099
+0.107951
+0.0855196
+0.0834947
+0.0814783
+0.0794712
+0.077474
+0.0754876
+0.0735127
+0.0715505
+0.0696018
+0.067668
+0.0657503
+0.0638501
+0.0619611
+0.0600914
+0.0582442
+0.0564214
+0.0546258
+0.0528589
+0.0511222
+0.0494215
+0.0477608
+0.0461443
+0.0445769
+0.043064
+0.0416114
+0.0402257
+0.038914
+0.0376842
+0.0365443
+0.0354978
+0.0345429
+0.0337035
+0.0329885
+0.0324061
+0.0319635
+0.0316666
+0.0315195
+0.0315244
+0.0316811
+0.0319874
+0.0324391
+0.0330098
+0.0337058
+0.0345271
+0.0354649
+0.0365101
+0.037654
+0.0388877
+0.040203
+0.0415922
+0.043048
+0.04456
+0.0461164
+0.0477226
+0.0493738
+0.0510656
+0.0527941
+0.0545558
+0.0563476
+0.0581668
+0.0600063
+0.0618685
+0.0637515
+0.064976
+0.0659817
+0.0670314
+0.068132
+0.0692821
+0.0704703
+0.0717057
+0.0729859
+0.0743087
+0.0756718
+0.0770731
+0.0785105
+0.0799821
+0.081486
+0.0830204
+0.0845838
+0.0861534
+0.0877446
+0.0893611
+0.0910016
+0.0926649
+0.0943438
+0.096031
+0.0977381
+0.0985826
+0.0991664
+0.0997746
+0.100427
+0.10111
+0.101682
+0.102298
+0.102957
+0.103658
+0.104401
+0.105184
+0.106006
+0.106862
+0.0852006
+0.0831679
+0.0811434
+0.0791278
+0.0771217
+0.0751259
+0.0731413
+0.0711688
+0.0692094
+0.0672643
+0.0653347
+0.0634221
+0.0615281
+0.0596521
+0.0577907
+0.0559533
+0.0541421
+0.0523589
+0.050605
+0.0488863
+0.0472068
+0.0455707
+0.0439829
+0.0424487
+0.0409743
+0.0395663
+0.0382321
+0.0369795
+0.0358173
+0.0347489
+0.0337728
+0.0329138
+0.0321812
+0.0315839
+0.0311296
+0.0308247
+0.0306736
+0.0306786
+0.0308396
+0.0311542
+0.0316177
+0.0322145
+0.0329273
+0.0337675
+0.0347258
+0.0357927
+0.0369587
+0.0382149
+0.0395526
+0.0409638
+0.0424412
+0.0439782
+0.0455628
+0.0471879
+0.0488571
+0.0505662
+0.0523112
+0.0540887
+0.0558955
+0.0577288
+0.0595819
+0.0612303
+0.0621544
+0.0631357
+0.0641535
+0.0652291
+0.0663596
+0.0675407
+0.068759
+0.0700246
+0.071335
+0.0726878
+0.0740808
+0.0755116
+0.0769781
+0.0784784
+0.0800106
+0.0815606
+0.0831242
+0.0847156
+0.0863332
+0.0879757
+0.0896329
+0.0913019
+0.0929927
+0.0947039
+0.0964346
+0.0974638
+0.0980335
+0.0986486
+0.0993083
+0.099999
+0.100578
+0.1012
+0.101867
+0.102575
+0.103325
+0.104116
+0.104942
+0.105803
+0.0849368
+0.0828977
+0.0808664
+0.0788437
+0.0768302
+0.0748267
+0.0728339
+0.0708529
+0.0688845
+0.0669299
+0.0649904
+0.0630674
+0.0611624
+0.0592771
+0.0574135
+0.0555676
+0.0537434
+0.0519465
+0.0501782
+0.0484444
+0.046749
+0.0450963
+0.0434911
+0.041939
+0.040446
+0.039019
+0.0376653
+0.0363933
+0.0352117
+0.0341243
+0.0331299
+0.0322537
+0.0315058
+0.0308955
+0.0304309
+0.0301189
+0.0299643
+0.0299694
+0.0301341
+0.030456
+0.0309301
+0.0315494
+0.032279
+0.0331356
+0.0341117
+0.0351971
+0.0363823
+0.0376577
+0.0390145
+0.0404436
+0.0419365
+0.0434885
+0.0450936
+0.0467463
+0.0484341
+0.0501576
+0.0519164
+0.0537069
+0.0555261
+0.0573713
+0.0584741
+0.0593603
+0.0603106
+0.0612971
+0.062345
+0.0634512
+0.0646128
+0.0658262
+0.0670756
+0.0683723
+0.0697138
+0.0710975
+0.072521
+0.073982
+0.0754783
+0.0770055
+0.0785376
+0.0801002
+0.0816918
+0.0833105
+0.0849431
+0.0865918
+0.088264
+0.0899585
+0.091674
+0.0934094
+0.0951636
+0.0962821
+0.0968957
+0.0975546
+0.0982259
+0.0989241
+0.0995091
+0.100139
+0.100812
+0.101528
+0.102285
+0.10308
+0.10391
+0.104681
+0.0847289
+0.0826847
+0.080648
+0.0786197
+0.0766003
+0.0745906
+0.0725914
+0.0706035
+0.068628
+0.0666659
+0.0647185
+0.0627871
+0.0608733
+0.0589788
+0.0571055
+0.0552555
+0.0534266
+0.0516193
+0.0498427
+0.0480983
+0.0463902
+0.0447243
+0.0431053
+0.0415387
+0.0400308
+0.0385884
+0.0372191
+0.0359313
+0.034734
+0.0336312
+0.0326217
+0.0317315
+0.030971
+0.0303499
+0.0298769
+0.029559
+0.0294014
+0.0294066
+0.0295745
+0.0299024
+0.0303851
+0.0310154
+0.0317611
+0.0326314
+0.033622
+0.0347228
+0.0359236
+0.0372147
+0.0385861
+0.0400284
+0.0415362
+0.0431027
+0.0447216
+0.0463875
+0.0480955
+0.0498412
+0.0516116
+0.0534112
+0.054879
+0.0557167
+0.0565979
+0.057513
+0.0584653
+0.0594824
+0.0605617
+0.0616999
+0.0628938
+0.0641404
+0.0654222
+0.0667511
+0.0681245
+0.0695399
+0.0709946
+0.0724863
+0.0739909
+0.0755206
+0.0770822
+0.0786738
+0.0802784
+0.0819037
+0.0835549
+0.0852304
+0.0869288
+0.0886488
+0.0903892
+0.0921488
+0.0939265
+0.0950886
+0.0957098
+0.0963768
+0.0970887
+0.0978445
+0.0984776
+0.0991136
+0.0997937
+0.100517
+0.101277
+0.102075
+0.102777
+0.103479
+0.0845773
+0.0825293
+0.0804887
+0.0784563
+0.0764326
+0.0744183
+0.0724143
+0.0704215
+0.0684407
+0.0664731
+0.0645199
+0.0625824
+0.0606621
+0.0587607
+0.0568802
+0.0550226
+0.0531858
+0.05137
+0.0495845
+0.0478327
+0.0461184
+0.0444459
+0.0428203
+0.041247
+0.0397322
+0.0382786
+0.0368978
+0.0355983
+0.0343895
+0.0332752
+0.0322546
+0.031354
+0.0305841
+0.029955
+0.0294756
+0.0291534
+0.0289936
+0.0289988
+0.0291691
+0.0295015
+0.0299906
+0.030629
+0.031384
+0.0322644
+0.033266
+0.0343782
+0.0355906
+0.0368934
+0.0382763
+0.0397298
+0.0412485
+0.0428255
+0.0444545
+0.0461301
+0.0478472
+0.0496017
+0.0513846
+0.0521728
+0.0529713
+0.0538387
+0.054745
+0.0556618
+0.0566446
+0.0576938
+0.0588059
+0.0599775
+0.061205
+0.0624853
+0.0638012
+0.0651632
+0.0665694
+0.0680171
+0.0694921
+0.0709835
+0.0725105
+0.0740707
+0.0756431
+0.0772418
+0.0788689
+0.0805227
+0.0822016
+0.0839041
+0.0856289
+0.0873745
+0.0891398
+0.0909235
+0.0927248
+0.093931
+0.0945598
+0.0952349
+0.0959553
+0.0967199
+0.0974845
+0.098127
+0.0988138
+0.0995392
+0.100283
+0.100903
+0.101566
+0.102271
+0.0844811
+0.0824318
+0.0803888
+0.0783538
+0.0763273
+0.0743103
+0.0723033
+0.0703072
+0.0683232
+0.0663521
+0.0643952
+0.0624538
+0.0605294
+0.0586238
+0.0567387
+0.0548764
+0.0530345
+0.0512133
+0.0494221
+0.0476643
+0.0459437
+0.0442647
+0.0426322
+0.0410517
+0.0395294
+0.0380724
+0.0366883
+0.0353859
+0.0341744
+0.0330609
+0.0320334
+0.0311265
+0.0303508
+0.0297167
+0.0292334
+0.0289085
+0.0287473
+0.0287526
+0.0289244
+0.0292595
+0.0297527
+0.030396
+0.0311566
+0.0320433
+0.0330516
+0.0341708
+0.0353903
+0.0367002
+0.0380901
+0.0395505
+0.0410758
+0.0426592
+0.0442943
+0.0459757
+0.0476984
+0.0488377
+0.049512
+0.0502667
+0.0510862
+0.0519852
+0.0528913
+0.0538354
+0.0548509
+0.0559338
+0.0570802
+0.0582865
+0.0595489
+0.060864
+0.0622152
+0.0636111
+0.0650508
+0.0664978
+0.0679843
+0.0695081
+0.0710433
+0.072611
+0.0742103
+0.0758391
+0.0774957
+0.0791782
+0.080885
+0.0826147
+0.0843658
+0.086137
+0.0879271
+0.089735
+0.0915596
+0.0928107
+0.0934471
+0.0941301
+0.0948589
+0.0956227
+0.0964108
+0.0971797
+0.0978681
+0.0985033
+0.0990854
+0.0997122
+0.100383
+0.101097
+0.0844381
+0.0823871
+0.0803432
+0.0783073
+0.0762799
+0.0742618
+0.0722537
+0.0702566
+0.0682713
+0.0662989
+0.0643407
+0.062398
+0.0604722
+0.058565
+0.0566784
+0.0548143
+0.0529734
+0.05115
+0.0493565
+0.0475963
+0.0458732
+0.0441915
+0.0425562
+0.0409727
+0.0394474
+0.0379872
+0.0366
+0.0352943
+0.0340795
+0.0329657
+0.0319612
+0.0310522
+0.0302746
+0.0296389
+0.0291543
+0.0288285
+0.0286669
+0.0286722
+0.0288444
+0.0291805
+0.0296749
+0.0303199
+0.0310824
+0.0319711
+0.0329816
+0.0341031
+0.035325
+0.0366372
+0.0380294
+0.039492
+0.0410196
+0.042605
+0.0442421
+0.0457611
+0.0462866
+0.0469049
+0.0476002
+0.0483756
+0.0492265
+0.0501347
+0.0510598
+0.0520372
+0.0530871
+0.0542052
+0.0553874
+0.0566297
+0.0579283
+0.0592794
+0.0606668
+0.0620745
+0.0635134
+0.0649922
+0.0664861
+0.0680177
+0.0695847
+0.0711845
+0.0728152
+0.0744745
+0.0761607
+0.0778721
+0.0796069
+0.0813638
+0.0831412
+0.084938
+0.0867528
+0.0885847
+0.0904325
+0.0916494
+0.0922937
+0.0929852
+0.0937228
+0.0945054
+0.0953119
+0.0961525
+0.0967896
+0.0973326
+0.0979217
+0.0985559
+0.0992344
+0.0999564
+0.0844459
+0.0823948
+0.0803511
+0.0783154
+0.0762882
+0.0742703
+0.0722625
+0.0702656
+0.0682806
+0.0663085
+0.0643506
+0.0624081
+0.0604827
+0.0585758
+0.0566895
+0.0548259
+0.0529872
+0.0511763
+0.0493881
+0.0476291
+0.0459072
+0.0442268
+0.0425928
+0.0410108
+0.0394869
+0.0380282
+0.0366426
+0.0353384
+0.0341252
+0.033013
+0.0320122
+0.031124
+0.0303483
+0.0297142
+0.0292309
+0.0289059
+0.0287447
+0.02875
+0.0289218
+0.029257
+0.0297501
+0.0303936
+0.0311624
+0.0320489
+0.033057
+0.034176
+0.0353954
+0.0367051
+0.0380948
+0.039555
+0.0410802
+0.0426634
+0.0433614
+0.0438062
+0.0443549
+0.0449891
+0.0456951
+0.0464894
+0.0473425
+0.04828
+0.0492576
+0.0502701
+0.0513561
+0.0525111
+0.0537306
+0.0550103
+0.0563375
+0.0577114
+0.0591103
+0.0605345
+0.061981
+0.0634701
+0.064999
+0.0665649
+0.0681653
+0.0697977
+0.0714599
+0.0731501
+0.0748661
+0.0766064
+0.0783693
+0.0801533
+0.081957
+0.0837791
+0.0856185
+0.0874742
+0.0893449
+0.0904798
+0.0911324
+0.0918326
+0.0925794
+0.0933716
+0.0942081
+0.0950878
+0.0956482
+0.0961977
+0.0967936
+0.0974352
+0.0981215
+0.0988515
+0.0845077
+0.0824608
+0.0804187
+0.0783847
+0.0763594
+0.0743434
+0.0723376
+0.0703429
+0.0683601
+0.0663904
+0.064435
+0.0624951
+0.0605724
+0.0586685
+0.0567853
+0.0549249
+0.0530896
+0.0512823
+0.049506
+0.0477624
+0.0460455
+0.0443704
+0.0427419
+0.0411655
+0.0396476
+0.0381951
+0.0368157
+0.0355179
+0.0343111
+0.0332051
+0.0322102
+0.0313277
+0.0305571
+0.0299274
+0.0294476
+0.0291251
+0.0289651
+0.0289704
+0.0291408
+0.0294735
+0.0299631
+0.0306021
+0.0313813
+0.0322714
+0.0332728
+0.0343848
+0.035597
+0.0368995
+0.0382832
+0.0397387
+0.040795
+0.0410552
+0.041409
+0.0418746
+0.0424062
+0.0430412
+0.0437767
+0.0445908
+0.0454787
+0.0464468
+0.0474611
+0.0485104
+0.0496343
+0.0508222
+0.0520653
+0.0533694
+0.0547301
+0.0561434
+0.0575402
+0.0589788
+0.0604625
+0.0619882
+0.0635527
+0.0651534
+0.0667876
+0.0684528
+0.070147
+0.071868
+0.0736139
+0.0753831
+0.0771739
+0.0789849
+0.0808147
+0.0826621
+0.0845258
+0.0863795
+0.088248
+0.0893413
+0.0900021
+0.090711
+0.0914669
+0.0922687
+0.093115
+0.0940049
+0.0945343
+0.0950927
+0.0956979
+0.0963468
+0.0970337
+0.0977647
+0.0846177
+0.0825747
+0.0805395
+0.0785126
+0.0764933
+0.0744809
+0.0724789
+0.0704882
+0.0685096
+0.0665443
+0.0645936
+0.0626587
+0.0607411
+0.0588427
+0.0569652
+0.0551108
+0.053282
+0.0514815
+0.0497123
+0.0479778
+0.0462821
+0.0446211
+0.0430021
+0.0414357
+0.0399281
+0.0384862
+0.0371176
+0.0358307
+0.0346348
+0.0335394
+0.0325548
+0.0316819
+0.0309202
+0.030298
+0.0298241
+0.0295057
+0.0293478
+0.029353
+0.0295213
+0.0298497
+0.0303333
+0.0309646
+0.0317349
+0.0326208
+0.0336118
+0.0347129
+0.035914
+0.0372055
+0.0385782
+0.038685
+0.0388372
+0.0391104
+0.0394528
+0.0398947
+0.0404505
+0.0411158
+0.041875
+0.0427158
+0.0436346
+0.0446306
+0.0456512
+0.0467412
+0.0479066
+0.0491322
+0.050417
+0.0517626
+0.0531645
+0.0545576
+0.0559871
+0.0574645
+0.0589864
+0.0605492
+0.06215
+0.0637859
+0.0654542
+0.0671526
+0.0688787
+0.0706306
+0.0724064
+0.0742044
+0.076023
+0.0778607
+0.0797038
+0.0815486
+0.0834103
+0.0852875
+0.0871794
+0.0882336
+0.0889026
+0.0896202
+0.0903853
+0.0911965
+0.0920527
+0.0929316
+0.0934482
+0.094013
+0.0946228
+0.0952717
+0.0959662
+0.0967053
+0.0847842
+0.0827453
+0.0807144
+0.078692
+0.0766789
+0.0746757
+0.0726834
+0.0707011
+0.0687287
+0.0667698
+0.0648258
+0.0628981
+0.0609881
+0.0590976
+0.0572284
+0.0553829
+0.0535634
+0.0517726
+0.0500137
+0.0482901
+0.0466058
+0.0449651
+0.0433716
+0.0418191
+0.0403258
+0.0388986
+0.037545
+0.0362734
+0.0350925
+0.0340119
+0.0330414
+0.0321816
+0.031432
+0.0308202
+0.0303545
+0.0300417
+0.0298866
+0.0298917
+0.0300569
+0.0303796
+0.0308549
+0.0314757
+0.0322338
+0.0331117
+0.0340884
+0.0351746
+0.0363605
+0.0367458
+0.0366962
+0.0367454
+0.0368884
+0.0371277
+0.0374711
+0.0379361
+0.0385202
+0.0392146
+0.0399973
+0.0408638
+0.0418233
+0.0428172
+0.043876
+0.045009
+0.0462179
+0.0474831
+0.0488113
+0.0501973
+0.0515885
+0.0530075
+0.0544777
+0.055995
+0.0575558
+0.0591564
+0.0607939
+0.0624653
+0.064168
+0.0658995
+0.0676576
+0.0694403
+0.0712458
+0.0730723
+0.0748908
+0.0767263
+0.07858
+0.0804507
+0.0823372
+0.0842383
+0.0861533
+0.0871669
+0.087844
+0.0885702
+0.0893442
+0.0901648
+0.0910308
+0.091836
+0.0924013
+0.09297
+0.0935791
+0.0942351
+0.0949372
+0.0956843
+0.0850069
+0.0829734
+0.0809482
+0.0789318
+0.076925
+0.0749284
+0.072943
+0.0709697
+0.0690094
+0.0670635
+0.065131
+0.0632126
+0.0613124
+0.0594322
+0.0575739
+0.0557398
+0.0539323
+0.0521542
+0.0504087
+0.048699
+0.0470293
+0.045404
+0.0438278
+0.0423064
+0.0408325
+0.0394243
+0.03809
+0.0368379
+0.0356764
+0.0346147
+0.0336622
+0.0328203
+0.0320856
+0.0314865
+0.0310308
+0.0307249
+0.0305733
+0.0305783
+0.0307398
+0.0310554
+0.0315204
+0.0321284
+0.0328714
+0.0337332
+0.0346956
+0.0352814
+0.0349826
+0.0347944
+0.034742
+0.0347901
+0.0349067
+0.0351536
+0.035514
+0.0360042
+0.0366192
+0.0373316
+0.0381435
+0.0390469
+0.040012
+0.0410403
+0.0421357
+0.0433142
+0.044569
+0.0458794
+0.0472451
+0.0486356
+0.0500424
+0.0515041
+0.053016
+0.0545739
+0.0561742
+0.0578131
+0.0594876
+0.0611946
+0.0629317
+0.0646963
+0.0664862
+0.0682866
+0.0700897
+0.0719143
+0.0737588
+0.0756218
+0.077502
+0.079398
+0.0813089
+0.0831957
+0.0850509
+0.0861204
+0.0868278
+0.0875624
+0.0883453
+0.0891694
+0.0899846
+0.0907006
+0.0913774
+0.0919597
+0.0925754
+0.0932299
+0.0939119
+0.0946396
+0.0852815
+0.0832586
+0.0812405
+0.0792315
+0.0772325
+0.0752441
+0.0732672
+0.0713028
+0.069352
+0.067416
+0.065496
+0.0635934
+0.06171
+0.0598451
+0.0580001
+0.0561799
+0.0543871
+0.0526244
+0.0508949
+0.0492022
+0.0475502
+0.0459432
+0.0443862
+0.0428846
+0.0414313
+0.0400441
+0.0387313
+0.0375005
+0.0363602
+0.035319
+0.0343861
+0.0335704
+0.0328724
+0.0322879
+0.0318437
+0.0315457
+0.031398
+0.0314029
+0.0315602
+0.0318677
+0.032321
+0.0329142
+0.0336399
+0.03437
+0.0338334
+0.0333848
+0.0330689
+0.0328732
+0.0328177
+0.0328256
+0.0329491
+0.0332044
+0.0335857
+0.0341037
+0.0347377
+0.0354835
+0.0363226
+0.0372532
+0.0382305
+0.0392963
+0.040439
+0.0416655
+0.0429684
+0.0443128
+0.0456968
+0.0470945
+0.048546
+0.0500514
+0.0516058
+0.0532051
+0.0548453
+0.0565228
+0.0582343
+0.0599771
+0.0617484
+0.0635153
+0.0653031
+0.0671148
+0.0689485
+0.0708025
+0.0726753
+0.0745654
+0.0764715
+0.0783672
+0.0802144
+0.0820785
+0.0839583
+0.0849782
+0.0857015
+0.0864349
+0.0872172
+0.088047
+0.0889109
+0.0896043
+0.0903252
+0.0909046
+0.0915071
+0.0921487
+0.0928365
+0.0935707
+0.085602
+0.0835922
+0.0815894
+0.0795904
+0.0776006
+0.0756219
+0.0736551
+0.0717014
+0.0697618
+0.0678374
+0.0659297
+0.06404
+0.0621702
+0.0603219
+0.0584973
+0.0566986
+0.0549255
+0.0531806
+0.0514699
+0.0497967
+0.0481651
+0.0465794
+0.0450444
+0.0435654
+0.0421356
+0.0407724
+0.0394838
+0.0382772
+0.0371607
+0.0361426
+0.0352315
+0.0344359
+0.0337639
+0.0332148
+0.0327831
+0.0324937
+0.0323504
+0.0323551
+0.0325078
+0.0328064
+0.0332469
+0.0338239
+0.0332299
+0.0325293
+0.0319638
+0.0315263
+0.0311917
+0.0309877
+0.0309129
+0.030889
+0.0310201
+0.0312872
+0.0316915
+0.0322331
+0.0328903
+0.033663
+0.0345335
+0.0354502
+0.0364756
+0.0375991
+0.0387918
+0.0400688
+0.041404
+0.0427626
+0.044167
+0.0456065
+0.0471039
+0.048654
+0.0502517
+0.0518927
+0.0535731
+0.0552891
+0.0570245
+0.0587648
+0.0605344
+0.0623307
+0.0641516
+0.0659949
+0.0678589
+0.0697419
+0.0716423
+0.073548
+0.0753859
+0.0772422
+0.0791157
+0.081005
+0.0829092
+0.0838476
+0.0845533
+0.0852966
+0.0860892
+0.0869298
+0.087817
+0.0885487
+0.0892341
+0.0898151
+0.0904409
+0.091092
+0.0917878
+0.0925302
+0.0859685
+0.0839678
+0.0819767
+0.0799961
+0.0780268
+0.0760609
+0.0741059
+0.0721643
+0.0702375
+0.0683265
+0.0664328
+0.0645579
+0.0627035
+0.0608714
+0.0590638
+0.0572829
+0.0555313
+0.0538119
+0.0521278
+0.0504794
+0.0488705
+0.0473085
+0.0457979
+0.0443441
+0.0429402
+0.0416034
+0.0403413
+0.0391612
+0.0380706
+0.0370776
+0.03619
+0.0354159
+0.0347628
+0.0342377
+0.033835
+0.0335547
+0.0334159
+0.0334205
+0.0335683
+0.0338576
+0.0332066
+0.0322715
+0.0314469
+0.0307257
+0.0301264
+0.0296727
+0.0293266
+0.029075
+0.0289607
+0.0289885
+0.0291282
+0.0294082
+0.029838
+0.0303913
+0.0310846
+0.0318555
+0.032709
+0.0336754
+0.0347532
+0.0359324
+0.0371933
+0.0385169
+0.0398518
+0.0412492
+0.0426895
+0.0441772
+0.0457214
+0.0473167
+0.0489549
+0.0506254
+0.0523268
+0.0540408
+0.0557882
+0.0575659
+0.0593712
+0.0612017
+0.0630552
+0.0649296
+0.0668233
+0.0687347
+0.0705671
+0.0724144
+0.0742804
+0.0761636
+0.078063
+0.0799772
+0.081904
+0.0827413
+0.0834433
+0.0841965
+0.0849994
+0.0858508
+0.086743
+0.0875353
+0.0881715
+0.0887594
+0.0893972
+0.090076
+0.0907796
+0.0915105
+0.0863708
+0.0843983
+0.0824176
+0.0804479
+0.0784899
+0.0765445
+0.0746126
+0.0726903
+0.0707778
+0.0688818
+0.0670038
+0.0651454
+0.0633081
+0.0614941
+0.0597053
+0.0579441
+0.0562132
+0.0545153
+0.0528536
+0.0512318
+0.0496537
+0.0481235
+0.0466423
+0.0452156
+0.0438397
+0.0425311
+0.0412974
+0.0401454
+0.0390823
+0.0381156
+0.0372528
+0.0365012
+0.0358679
+0.0353592
+0.034977
+0.0347059
+0.0345717
+0.0345761
+0.0337938
+0.0326542
+0.0315827
+0.0305894
+0.0297182
+0.0289584
+0.0283217
+0.0278061
+0.0274154
+0.0271486
+0.0270284
+0.0270698
+0.027281
+0.0275752
+0.0280122
+0.0285988
+0.0292525
+0.0300373
+0.0309321
+0.0319523
+0.0330863
+0.034304
+0.0356135
+0.0369496
+0.0383165
+0.0397572
+0.0412598
+0.0427824
+0.0443609
+0.0459897
+0.0476635
+0.0493508
+0.0510707
+0.0528255
+0.0546118
+0.0564266
+0.0582672
+0.0601313
+0.0620168
+0.0639217
+0.06576
+0.0675967
+0.0694539
+0.0713301
+0.0732237
+0.0751335
+0.0770571
+0.0789897
+0.0809354
+0.0816577
+0.0823689
+0.0831257
+0.0839278
+0.0847789
+0.0856776
+0.0865654
+0.0871367
+0.0877316
+0.0883768
+0.0890711
+0.0897157
+0.0903089
+0.0867056
+0.0847419
+0.0827897
+0.0808497
+0.0789228
+0.0770101
+0.0751125
+0.0732313
+0.0713677
+0.0695018
+0.067641
+0.0658005
+0.0639821
+0.0621878
+0.0604195
+0.0586798
+0.0569712
+0.0552965
+0.0536591
+0.0520624
+0.0505102
+0.0490068
+0.0475569
+0.0461653
+0.0448282
+0.0435494
+0.0423453
+0.0412226
+0.040188
+0.0392486
+0.0384112
+0.0376828
+0.0370697
+0.0365777
+0.0362117
+0.0359538
+0.034916
+0.0335402
+0.0322546
+0.0310704
+0.0299707
+0.0289573
+0.028054
+0.027251
+0.0265604
+0.0259783
+0.0255461
+0.0252654
+0.0251386
+0.0251831
+0.0253979
+0.0257444
+0.0262133
+0.0267483
+0.0274363
+0.0282622
+0.0292115
+0.0302823
+0.0314544
+0.0327314
+0.0340648
+0.035412
+0.0368359
+0.0383254
+0.0398397
+0.0414145
+0.0430433
+0.0447056
+0.0463909
+0.0481168
+0.0498793
+0.0516745
+0.0534993
+0.0553505
+0.0572258
+0.0591227
+0.0609675
+0.0627915
+0.0646383
+0.066506
+0.0683929
+0.0702973
+0.0722173
+0.0741465
+0.0760899
+0.0780464
+0.0798907
+0.0806011
+0.0813101
+0.0820715
+0.0828838
+0.0837456
+0.0846553
+0.085582
+0.086121
+0.0866693
+0.0872692
+0.0879195
+0.0885458
+0.0891421
+0.0870942
+0.0851395
+0.0831966
+0.0812664
+0.0793496
+0.0774474
+0.0755608
+0.073691
+0.0718394
+0.0700073
+0.0681954
+0.0664034
+0.0646359
+0.062895
+0.0611831
+0.059487
+0.0578023
+0.0561525
+0.0545407
+0.0529706
+0.0514458
+0.0499706
+0.0485494
+0.0471872
+0.045887
+0.0446386
+0.0434647
+0.0423716
+0.0413658
+0.0404537
+0.0396418
+0.0389364
+0.0383433
+0.0378679
+0.0366328
+0.0350749
+0.0335717
+0.0321384
+0.0307944
+0.0295517
+0.0284067
+0.0273472
+0.0263839
+0.0255351
+0.0248334
+0.0242074
+0.0237319
+0.0234229
+0.0232775
+0.023322
+0.0235147
+0.0238826
+0.0243172
+0.0249159
+0.0256572
+0.02652
+0.0275304
+0.0286564
+0.0298924
+0.031173
+0.0325432
+0.0339461
+0.0354098
+0.0369137
+0.0384835
+0.0401117
+0.0417612
+0.0434501
+0.0451822
+0.0469527
+0.0487572
+0.0505923
+0.0524547
+0.0543416
+0.0561933
+0.058002
+0.0598362
+0.0616937
+0.0635724
+0.0654705
+0.0673859
+0.0693111
+0.0712517
+0.0732064
+0.0751742
+0.0771539
+0.0788426
+0.0795628
+0.080281
+0.0810521
+0.0818746
+0.0827469
+0.0836674
+0.0844577
+0.0849603
+0.085516
+0.0861239
+0.0867829
+0.0874131
+0.0880144
+0.0875284
+0.0855837
+0.0836512
+0.0817317
+0.0798262
+0.0779357
+0.0760612
+0.0742041
+0.0723657
+0.0705458
+0.0687452
+0.0669678
+0.0652156
+0.0634907
+0.0617952
+0.0601318
+0.0585032
+0.0569122
+0.0553622
+0.0538568
+0.0523997
+0.0509951
+0.0496137
+0.0482821
+0.0470149
+0.0458025
+0.0446593
+0.0435962
+0.0426192
+0.0417346
+0.0409481
+0.0402655
+0.0388275
+0.0371292
+0.0354654
+0.0338538
+0.0323104
+0.0308287
+0.0294249
+0.0281219
+0.0269144
+0.0257792
+0.0247596
+0.0238889
+0.0231538
+0.0224903
+0.0219824
+0.0216331
+0.0214713
+0.0214976
+0.0216893
+0.0220122
+0.0224748
+0.0231212
+0.0239171
+0.0248404
+0.0259163
+0.0270705
+0.0283022
+0.0296332
+0.0310541
+0.0325233
+0.0340137
+0.0355766
+0.0372004
+0.0388406
+0.0405329
+0.042271
+0.0440495
+0.0458636
+0.0477094
+0.0495833
+0.0514425
+0.0532323
+0.0550511
+0.0568961
+0.0587648
+0.0606551
+0.062565
+0.0644853
+0.0664224
+0.0683748
+0.0703412
+0.0723205
+0.0743117
+0.0763138
+0.077842
+0.0785714
+0.0792986
+0.0800792
+0.0809115
+0.0817941
+0.0827188
+0.0833292
+0.0838385
+0.0844016
+0.0850175
+0.085685
+0.0863121
+0.0869092
+0.0880014
+0.0860674
+0.084146
+0.0822381
+0.0803446
+0.0784665
+0.0766051
+0.0747615
+0.0729371
+0.0711334
+0.069352
+0.0675946
+0.0658632
+0.0641557
+0.0624783
+0.0608335
+0.0592242
+0.0576531
+0.0561236
+0.0546392
+0.0532035
+0.0518207
+0.0504951
+0.0492314
+0.0480343
+0.046905
+0.04585
+0.0448773
+0.0439462
+0.0430888
+0.0414689
+0.0396418
+0.0378502
+0.0360961
+0.0343758
+0.0327109
+0.0311112
+0.0295874
+0.0281363
+0.0267596
+0.0254694
+0.0242769
+0.0231876
+0.0222556
+0.0214914
+0.0208221
+0.0203006
+0.0198783
+0.0196803
+0.0197123
+0.0198706
+0.0201954
+0.0207002
+0.0214004
+0.0222267
+0.0231805
+0.0242753
+0.0254537
+0.0267504
+0.0281463
+0.0296385
+0.0311519
+0.0327049
+0.0343112
+0.0359498
+0.0376445
+0.0393882
+0.0411747
+0.0429985
+0.0448456
+0.0467003
+0.0484883
+0.0502878
+0.0521172
+0.0539736
+0.0558542
+0.0577567
+0.0596713
+0.0616039
+0.0635533
+0.065518
+0.0674965
+0.0694878
+0.0714907
+0.0735044
+0.0754957
+0.0768909
+0.0776234
+0.0783651
+0.0791549
+0.0799969
+0.0808598
+0.0817562
+0.0822435
+0.0827595
+0.08333
+0.0839537
+0.0846296
+0.0852352
+0.0858398
+0.0874783
+0.0865328
+0.0846946
+0.0827993
+0.080919
+0.0790546
+0.0772073
+0.0753784
+0.0735693
+0.0717815
+0.0700166
+0.0682763
+0.0665627
+0.0648777
+0.0632238
+0.0616034
+0.0600165
+0.0584668
+0.0569591
+0.055497
+0.0540841
+0.0527244
+0.0514222
+0.0501795
+0.0489993
+0.0478903
+0.0468575
+0.0459061
+0.0444186
+0.0425239
+0.0406422
+0.0387681
+0.0369289
+0.0351301
+0.033377
+0.0316603
+0.0300043
+0.0284169
+0.0268828
+0.0254451
+0.0240945
+0.022827
+0.0217042
+0.0207053
+0.0198523
+0.019145
+0.018625
+0.0181638
+0.0179484
+0.0179188
+0.0180929
+0.0184599
+0.018988
+0.0196551
+0.0205276
+0.0215442
+0.0226535
+0.0239124
+0.0252838
+0.0267538
+0.0282749
+0.0298784
+0.0314619
+0.0330965
+0.0347923
+0.0365408
+0.0383308
+0.0401352
+0.0419401
+0.0437726
+0.0455532
+0.0473628
+0.0492035
+0.0510718
+0.0529649
+0.0548723
+0.0567992
+0.0587446
+0.0607068
+0.0626841
+0.0646751
+0.0666756
+0.0686622
+0.0706608
+0.0725953
+0.0745422
+0.0759842
+0.076684
+0.0774395
+0.078249
+0.0790786
+0.0799349
+0.080736
+0.0812025
+0.0817251
+0.0823027
+0.0829341
+0.0836144
+0.0842016
+0.0848136
+0.0864758
+0.0855193
+0.0846086
+0.0834144
+0.0815482
+0.0796985
+0.0778665
+0.0760535
+0.0742608
+0.0724901
+0.0707428
+0.0690209
+0.0673262
+0.0656608
+0.0640271
+0.0624276
+0.0608648
+0.0593418
+0.0578617
+0.0564269
+0.0550358
+0.0536945
+0.0524104
+0.0511879
+0.0500315
+0.0489459
+0.0476627
+0.0456994
+0.0437508
+0.0418245
+0.0399061
+0.0379958
+0.0361173
+0.0342759
+0.0324778
+0.0307143
+0.0289903
+0.0273274
+0.0257287
+0.0242228
+0.0228222
+0.0214798
+0.0202814
+0.019223
+0.018312
+0.0175725
+0.0169703
+0.01653
+0.0162481
+0.0161527
+0.0163323
+0.0166602
+0.0172351
+0.0179812
+0.0189168
+0.0199355
+0.0211294
+0.0224721
+0.0238985
+0.0254017
+0.0269991
+0.0286577
+0.0302835
+0.0319707
+0.0336919
+0.0354189
+0.0371857
+0.0389955
+0.04084
+0.0426411
+0.0444614
+0.0463138
+0.0481945
+0.0500925
+0.052012
+0.0539521
+0.0559108
+0.0578861
+0.0598627
+0.0618353
+0.0638221
+0.0658218
+0.0677679
+0.069712
+0.0716608
+0.073607
+0.0750865
+0.0757958
+0.0765605
+0.0773782
+0.0781918
+0.0790577
+0.0797337
+0.0802061
+0.0807351
+0.0813197
+0.0819587
+0.0826397
+0.0832055
+0.0838201
+0.0855177
+0.0845503
+0.0836291
+0.0827557
+0.0819295
+0.0803935
+0.0785768
+0.0767796
+0.0750034
+0.0732496
+0.0715199
+0.069816
+0.0681401
+0.066494
+0.0648802
+0.063301
+0.0617592
+0.0602576
+0.0587949
+0.0573779
+0.0560107
+0.054697
+0.053441
+0.0522466
+0.0511182
+0.049142
+0.0471315
+0.0451286
+0.0431439
+0.0411801
+0.0392404
+0.0373284
+0.0354227
+0.0335432
+0.0316915
+0.0298633
+0.0280871
+0.026367
+0.0247063
+0.0231274
+0.0216212
+0.0202404
+0.0189665
+0.0178411
+0.0168493
+0.0160622
+0.0153938
+0.0148713
+0.0145455
+0.0144666
+0.0145629
+0.0149202
+0.0155496
+0.0164039
+0.0173414
+0.018447
+0.0197292
+0.0211118
+0.0225879
+0.0241727
+0.0257295
+0.0273468
+0.0290393
+0.0307488
+0.0324727
+0.0342441
+0.0360616
+0.0379186
+0.0397572
+0.0415883
+0.0434527
+0.0453381
+0.0472476
+0.0491805
+0.0511342
+0.0530794
+0.0550335
+0.0570048
+0.0589916
+0.0609924
+0.0629515
+0.0648919
+0.0668478
+0.068795
+0.0707522
+0.0727227
+0.0742315
+0.0749492
+0.0757235
+0.0765306
+0.0773531
+0.0782284
+0.0787761
+0.0792541
+0.0797895
+0.080381
+0.0810274
+0.0816821
+0.0822497
+0.0828649
+0.0846055
+0.0836275
+0.0826961
+0.0818127
+0.0809768
+0.0801903
+0.0793039
+0.0775255
+0.0757688
+0.074035
+0.0723251
+0.0706407
+0.0689804
+0.0673504
+0.0657531
+0.0641907
+0.062666
+0.0611818
+0.059741
+0.0583469
+0.0570029
+0.0557127
+0.05448
+0.0527984
+0.0507355
+0.0486837
+0.0466446
+0.0446198
+0.0426114
+0.0406219
+0.0386542
+0.0367117
+0.0347729
+0.0328649
+0.0309942
+0.0291458
+0.0272965
+0.0255013
+0.0237724
+0.0221256
+0.02058
+0.0191267
+0.0177855
+0.0165754
+0.0155061
+0.0146614
+0.0139377
+0.0133167
+0.0129568
+0.0128213
+0.0129115
+0.0133042
+0.0140046
+0.0148851
+0.0159122
+0.0171081
+0.0184049
+0.019827
+0.0213288
+0.0228377
+0.0244499
+0.0261401
+0.0278089
+0.0295361
+0.0313204
+0.0331534
+0.0350276
+0.0369081
+0.03875
+0.0406179
+0.0425137
+0.0444345
+0.0463389
+0.0482676
+0.0502178
+0.0521871
+0.0541734
+0.0561749
+0.0581488
+0.0600846
+0.0620373
+0.063996
+0.0659502
+0.0679187
+0.0698908
+0.0718678
+0.0734017
+0.0741275
+0.0749102
+0.0757194
+0.0765507
+0.077435
+0.0778683
+0.0783519
+0.0788934
+0.0794915
+0.0801451
+0.0807677
+0.0813351
+0.0819571
+0.0836978
+0.0827525
+0.081811
+0.080918
+0.0800728
+0.0792773
+0.0785349
+0.0778471
+0.0765801
+0.0748616
+0.0731659
+0.0714972
+0.0698572
+0.0682482
+0.0666723
+0.0651321
+0.0636299
+0.0621687
+0.0607513
+0.0593809
+0.0580609
+0.0566202
+0.0545417
+0.0524558
+0.0503788
+0.0483119
+0.0462563
+0.0442138
+0.042186
+0.0401754
+0.0381846
+0.0361924
+0.0342233
+0.0322828
+0.0303763
+0.0285107
+0.0266277
+0.0247841
+0.0230014
+0.021295
+0.0196623
+0.0181334
+0.0167084
+0.0154348
+0.0142901
+0.0133782
+0.0125576
+0.0118991
+0.0114635
+0.0112851
+0.0114015
+0.011848
+0.0125537
+0.0134828
+0.0145947
+0.0157677
+0.0171287
+0.0185274
+0.0200076
+0.0216089
+0.0232368
+0.0249017
+0.0266361
+0.0284336
+0.0302829
+0.0321751
+0.034062
+0.0359001
+0.0377758
+0.0396629
+0.041555
+0.0434752
+0.0454198
+0.047386
+0.049371
+0.051368
+0.0533452
+0.0552932
+0.0572418
+0.0592049
+0.0611634
+0.0631292
+0.0651073
+0.0670822
+0.0690701
+0.07107
+0.0725952
+0.0733289
+0.0741116
+0.0748966
+0.0757369
+0.0765828
+0.0770122
+0.0775011
+0.0780485
+0.0786531
+0.0793136
+0.0798962
+0.0804697
+0.0810983
+0.0827496
+0.081811
+0.0809122
+0.0800631
+0.0792191
+0.0784149
+0.0776643
+0.0769687
+0.0763296
+0.0757337
+0.074058
+0.0724098
+0.070791
+0.0692037
+0.0676501
+0.0661326
+0.0646537
+0.0632161
+0.0618228
+0.0604767
+0.0584949
+0.0563848
+0.0542812
+0.0521847
+0.0500963
+0.048017
+0.045948
+0.0438908
+0.0418473
+0.0398032
+0.037773
+0.0357619
+0.0337731
+0.0318083
+0.0298715
+0.0279723
+0.026052
+0.0241617
+0.0223264
+0.0205608
+0.0188793
+0.0172813
+0.0158015
+0.0144559
+0.0132656
+0.0121663
+0.0112996
+0.0105783
+0.0100775
+0.0098574
+0.00996614
+0.0104302
+0.0111496
+0.0121606
+0.0133137
+0.0145212
+0.0158227
+0.0172699
+0.0188295
+0.0203872
+0.0220452
+0.0237862
+0.0255963
+0.0274619
+0.0293612
+0.0311685
+0.0330223
+0.0349152
+0.0368013
+0.0387093
+0.0406458
+0.042607
+0.0445895
+0.046575
+0.0485504
+0.0505225
+0.0524653
+0.0544221
+0.0563931
+0.0583578
+0.0603355
+0.0623142
+0.0643003
+0.0662992
+0.068288
+0.0702865
+0.0718465
+0.0725812
+0.0733362
+0.0741294
+0.0749783
+0.0757755
+0.0762094
+0.0767035
+0.0772565
+0.0778672
+0.0785344
+0.0790757
+0.0796551
+0.0802902
+0.0818462
+0.0809044
+0.0799963
+0.0791374
+0.0783304
+0.0775769
+0.0768462
+0.0761431
+0.0754971
+0.0749096
+0.074382
+0.0733688
+0.0717729
+0.070209
+0.0686795
+0.0671866
+0.0657328
+0.0643207
+0.0625218
+0.0604128
+0.0583098
+0.0561973
+0.054083
+0.0519751
+0.0498744
+0.0477817
+0.0456968
+0.0436109
+0.0415359
+0.0394733
+0.0374253
+0.0353944
+0.0333837
+0.0313946
+0.0294306
+0.0275009
+0.0256132
+0.0236929
+0.0218182
+0.0200077
+0.0182516
+0.0165922
+0.0150266
+0.0135587
+0.0122548
+0.0111234
+0.0101064
+0.00935403
+0.00879936
+0.00853414
+0.00863696
+0.00911838
+0.00994279
+0.0110331
+0.0120774
+0.0132573
+0.0146604
+0.0160946
+0.0176208
+0.0192636
+0.0210066
+0.0228269
+0.0246824
+0.0264977
+0.0283183
+0.0301882
+0.0320911
+0.0339812
+0.0359054
+0.0378586
+0.0398365
+0.0418065
+0.0437771
+0.0457523
+0.0477132
+0.0496618
+0.0516287
+0.0536093
+0.0555833
+0.0575682
+0.0595513
+0.0615448
+0.0635288
+0.0655259
+0.0675351
+0.0695553
+0.0711507
+0.0718604
+0.0726153
+0.0734164
+0.0742734
+0.0750235
+0.0754618
+0.0759607
+0.076519
+0.0771356
+0.0777802
+0.078308
+0.0788931
+0.0795342
+0.080992
+0.0800401
+0.0791222
+0.0782537
+0.0774375
+0.0766752
+0.0759685
+0.0753188
+0.0747196
+0.0741259
+0.0735927
+0.0731212
+0.0727127
+0.07126
+0.0697535
+0.068284
+0.0666593
+0.0645368
+0.062419
+0.060305
+0.058175
+0.0560498
+0.0539298
+0.0518157
+0.0497082
+0.0476082
+0.0455153
+0.0434208
+0.0413361
+0.0392631
+0.0372035
+0.0351598
+0.0331348
+0.0311298
+0.029148
+0.0271982
+0.025288
+0.0233433
+0.0214397
+0.0195869
+0.0177828
+0.0160342
+0.0143862
+0.0128107
+0.0113822
+0.0101633
+0.00911427
+0.00834544
+0.0076872
+0.00739744
+0.00746879
+0.00797713
+0.00882256
+0.00988658
+0.0109703
+0.0122222
+0.0135121
+0.0149793
+0.0165926
+0.0182907
+0.0200844
+0.0219265
+0.0236933
+0.025526
+0.0274112
+0.0293091
+0.0312138
+0.0331539
+0.0351235
+0.0370719
+0.0390318
+0.0410082
+0.0429928
+0.0449313
+0.0468919
+0.0488721
+0.0508588
+0.0528447
+0.0548287
+0.056812
+0.0587924
+0.0607873
+0.0627953
+0.0648151
+0.0668456
+0.068886
+0.0704833
+0.0711985
+0.0719486
+0.072757
+0.0736217
+0.0743285
+0.0747708
+0.0752743
+0.0758377
+0.0764598
+0.0770619
+0.0775945
+0.0781849
+0.0788318
+0.0801885
+0.0792271
+0.0782997
+0.077422
+0.0765969
+0.0758262
+0.0751115
+0.0744543
+0.0738564
+0.0733188
+0.0728319
+0.0723845
+0.0719718
+0.0716201
+0.0706602
+0.0687625
+0.066635
+0.0645117
+0.0623834
+0.0602473
+0.0581152
+0.0559877
+0.0538653
+0.0517485
+0.0496382
+0.0475351
+0.0454329
+0.043335
+0.0412468
+0.0391697
+0.0371057
+0.0350571
+0.0330267
+0.031007
+0.02899
+0.0269994
+0.0250423
+0.0231075
+0.0211974
+0.0193232
+0.0174963
+0.0156823
+0.0139307
+0.0123085
+0.0108166
+0.00952006
+0.00836267
+0.00742629
+0.00677761
+0.00643855
+0.00651002
+0.00698317
+0.00785174
+0.00881654
+0.00990534
+0.0110954
+0.0124364
+0.0139694
+0.0156597
+0.0174556
+0.0192024
+0.0209699
+0.0228008
+0.0246622
+0.0265657
+0.0284969
+0.0304632
+0.0323856
+0.034329
+0.0362993
+0.0382832
+0.040241
+0.0421921
+0.0441657
+0.0461588
+0.0481506
+0.0501398
+0.0521099
+0.054085
+0.0560762
+0.0580818
+0.0601003
+0.0621304
+0.0641711
+0.0662191
+0.0682527
+0.0698783
+0.0705865
+0.071343
+0.0721582
+0.07303
+0.0736921
+0.0741382
+0.0746459
+0.0752141
+0.0758413
+0.0763996
+0.0769369
+0.0775323
+0.0781835
+0.0794374
+0.0784667
+0.0775304
+0.0766439
+0.0758104
+0.0750315
+0.0743091
+0.0736449
+0.0730403
+0.0724969
+0.0720158
+0.0715871
+0.071222
+0.0709092
+0.0705977
+0.0688087
+0.0666827
+0.0645436
+0.0624046
+0.0602692
+0.058138
+0.0560113
+0.0538868
+0.0517655
+0.0496504
+0.047542
+0.0454415
+0.0433442
+0.0412564
+0.0391744
+0.0371014
+0.0350369
+0.0329749
+0.0309305
+0.0289075
+0.0269108
+0.0249467
+0.022988
+0.0210654
+0.0191973
+0.0173444
+0.0154712
+0.0136927
+0.0120502
+0.010442
+0.00901788
+0.00778079
+0.00679663
+0.00604689
+0.00564274
+0.00572842
+0.00614449
+0.00698215
+0.00795649
+0.00888383
+0.0100806
+0.0115401
+0.0131779
+0.0148903
+0.0165387
+0.0183013
+0.0201034
+0.0219748
+0.0238914
+0.0258368
+0.0277684
+0.0296895
+0.0316454
+0.0336241
+0.0356068
+0.0375431
+0.039506
+0.0414917
+0.043497
+0.0454921
+0.0474475
+0.0494148
+0.0514002
+0.0534016
+0.0554174
+0.0574459
+0.059486
+0.0615364
+0.0635772
+0.0656194
+0.067671
+0.069336
+0.0700376
+0.0708
+0.0716213
+0.0724996
+0.0731158
+0.0735653
+0.074077
+0.0746495
+0.0752814
+0.0757949
+0.0763364
+0.0769354
+0.0775807
+0.0787355
+0.0777607
+0.0768159
+0.075921
+0.0750795
+0.074293
+0.0735634
+0.0728923
+0.0722814
+0.0717322
+0.0712462
+0.0708245
+0.0704567
+0.0701541
+0.0699188
+0.0689191
+0.0667723
+0.0646285
+0.0624879
+0.060351
+0.058218
+0.0560894
+0.0539659
+0.0518479
+0.0497362
+0.0476316
+0.0455268
+0.0434286
+0.04134
+0.0392595
+0.0371787
+0.0351057
+0.0330479
+0.0310083
+0.0289907
+0.0270002
+0.0250126
+0.0230506
+0.0210912
+0.019178
+0.0173307
+0.0155264
+0.0136991
+0.0119771
+0.0103645
+0.0088504
+0.00753994
+0.00649278
+0.00567137
+0.00512785
+0.00508684
+0.00557507
+0.00631932
+0.00714284
+0.00812254
+0.00944045
+0.0110124
+0.0124087
+0.0140067
+0.0157336
+0.0175388
+0.0194103
+0.0213323
+0.0232478
+0.0251484
+0.0270715
+0.0290274
+0.0310147
+0.0329665
+0.0349117
+0.0368845
+0.0388806
+0.0408878
+0.0428379
+0.0447933
+0.0467697
+0.0487643
+0.0507751
+0.0528003
+0.0548381
+0.0568872
+0.0589379
+0.0609781
+0.0630285
+0.065088
+0.0671283
+0.0688469
+0.0695534
+0.0703211
+0.0711479
+0.0718708
+0.0725822
+0.0730538
+0.073569
+0.0741454
+0.074764
+0.0752492
+0.0757934
+0.0763856
+0.0770356
+0.0780829
+0.0771024
+0.0761577
+0.075255
+0.0744059
+0.0736123
+0.0728758
+0.0721983
+0.0715815
+0.071027
+0.0705361
+0.0701103
+0.0697448
+0.0694391
+0.0692014
+0.0690324
+0.066908
+0.0647686
+0.0626328
+0.060501
+0.0583735
+0.0562508
+0.0541336
+0.0520224
+0.0499105
+0.0478039
+0.0457052
+0.0436156
+0.0415253
+0.0394449
+0.0373721
+0.0353063
+0.0332422
+0.0311955
+0.0291696
+0.0271694
+0.0251977
+0.0232097
+0.0212614
+0.0193651
+0.0175375
+0.0157264
+0.0139341
+0.0121658
+0.0105223
+0.00904424
+0.00769241
+0.00650118
+0.00554643
+0.00488992
+0.00470719
+0.00507976
+0.00581477
+0.00663491
+0.0076764
+0.00905784
+0.0102539
+0.0117239
+0.0133733
+0.0151502
+0.0170099
+0.0188631
+0.0207395
+0.0226288
+0.0245476
+0.0265087
+0.028497
+0.0304126
+0.0323631
+0.0343425
+0.0363196
+0.0382924
+0.0402375
+0.0421997
+0.0441835
+0.0461859
+0.0482047
+0.0502348
+0.0522761
+0.0543291
+0.0563803
+0.0584278
+0.0604852
+0.0625289
+0.0645653
+0.0666054
+0.0684245
+0.0691353
+0.0699075
+0.0705884
+0.0712488
+0.0719664
+0.0726047
+0.0731231
+0.073703
+0.0742753
+0.0747625
+0.0752991
+0.0758951
+0.0765492
+0.0774794
+0.076489
+0.0755391
+0.0746414
+0.0737913
+0.0729909
+0.0722482
+0.0715647
+0.0709424
+0.0703828
+0.0698874
+0.0694576
+0.0690887
+0.0687801
+0.0685401
+0.0683695
+0.0671149
+0.0649823
+0.0628538
+0.0607297
+0.0586105
+0.0564967
+0.0543821
+0.052272
+0.050169
+0.0480734
+0.0459789
+0.0438838
+0.0417907
+0.0397076
+0.0376306
+0.0355665
+0.0335185
+0.0314897
+0.0294841
+0.0274985
+0.0255016
+0.0235393
+0.0216209
+0.0197467
+0.0178854
+0.0160728
+0.0142741
+0.012571
+0.0109052
+0.00933015
+0.00783473
+0.00655021
+0.00560662
+0.00491363
+0.00466305
+0.00486606
+0.00545653
+0.00643767
+0.0075077
+0.00860413
+0.00984236
+0.0113275
+0.013006
+0.014759
+0.0165429
+0.0184116
+0.0202627
+0.0221462
+0.0240763
+0.0260476
+0.0279689
+0.0299183
+0.0318498
+0.0337995
+0.0357723
+0.0377124
+0.0396786
+0.0416645
+0.0436669
+0.0456866
+0.0477214
+0.0497695
+0.0518292
+0.0538796
+0.0559328
+0.0579715
+0.0599949
+0.0620296
+0.0640746
+0.0661138
+0.0680318
+0.0687844
+0.0693981
+0.0699975
+0.0706599
+0.0713833
+0.072166
+0.0727405
+0.0733234
+0.0738472
+0.0743258
+0.0748656
+0.075465
+0.0761229
+0.0769246
+0.07593
+0.074973
+0.0740684
+0.0732182
+0.0724244
+0.071682
+0.0709931
+0.0703658
+0.0698015
+0.069302
+0.0688685
+0.0684964
+0.0681851
+0.067943
+0.067771
+0.0673388
+0.0652375
+0.0631423
+0.0610362
+0.0589216
+0.0568112
+0.0547046
+0.0526027
+0.0504915
+0.0483867
+0.0462898
+0.0442021
+0.0421249
+0.0400591
+0.0380013
+0.0359585
+0.0339342
+0.0319318
+0.029932
+0.0279374
+0.0259743
+0.0240358
+0.0221419
+0.0202849
+0.0184018
+0.0165412
+0.0146895
+0.0129441
+0.0112693
+0.0096288
+0.00814819
+0.00681569
+0.00583361
+0.00515812
+0.00484679
+0.00496305
+0.00556853
+0.00633692
+0.0073262
+0.00850291
+0.00974842
+0.0112102
+0.0128074
+0.0145007
+0.016245
+0.0180088
+0.0198578
+0.0217702
+0.0236964
+0.0256078
+0.0275262
+0.0294363
+0.0313831
+0.033339
+0.03527
+0.0372297
+0.0392138
+0.0412189
+0.0432419
+0.0452806
+0.0473252
+0.0493599
+0.0514075
+0.0534647
+0.0554794
+0.057507
+0.0595462
+0.0615957
+0.0636108
+0.0656218
+0.0674303
+0.0682825
+0.068822
+0.0694264
+0.0700941
+0.0708234
+0.0716122
+0.0724221
+0.0730076
+0.0734705
+0.0739516
+0.074494
+0.0750964
+0.0757574
+0.0764241
+0.0754305
+0.0744671
+0.0735563
+0.0727001
+0.0719005
+0.0711594
+0.0704786
+0.0698531
+0.0692847
+0.0687814
+0.0683446
+0.0679696
+0.0676559
+0.0674119
+0.0672385
+0.0671361
+0.0655395
+0.0634543
+0.0613763
+0.0592915
+0.0571749
+0.0550641
+0.0529598
+0.0508628
+0.0487741
+0.0466946
+0.0446259
+0.0425693
+0.0405262
+0.0384934
+0.0364782
+0.0344843
+0.032479
+0.0304917
+0.0285218
+0.0265865
+0.0246528
+0.0227268
+0.0208498
+0.0189767
+0.0170656
+0.0152111
+0.0133943
+0.0116803
+0.010083
+0.00859181
+0.00730388
+0.00625651
+0.00548544
+0.0051086
+0.00507037
+0.00554099
+0.00637365
+0.00731372
+0.00843814
+0.0097567
+0.0112381
+0.012755
+0.0143267
+0.0160308
+0.0178158
+0.0196358
+0.0214646
+0.0233526
+0.0252682
+0.0271622
+0.0290946
+0.0309944
+0.0329266
+0.0348803
+0.0368607
+0.0388637
+0.0408859
+0.0428981
+0.0449197
+0.0469564
+0.0490065
+0.0510347
+0.0530513
+0.0550811
+0.0571228
+0.0591572
+0.0611545
+0.0631646
+0.0650733
+0.0668951
+0.0677677
+0.0683113
+0.0689202
+0.0695928
+0.0703272
+0.0711215
+0.0719738
+0.0727371
+0.0731574
+0.0736406
+0.0741853
+0.0747902
+0.0754539
+0.0759834
+0.0749878
+0.0740225
+0.0731062
+0.0722447
+0.07144
+0.0706941
+0.0700088
+0.0693829
+0.0688188
+0.0683203
+0.0678874
+0.0675099
+0.067194
+0.0669483
+0.0667737
+0.0666706
+0.065913
+0.0638399
+0.061774
+0.0596885
+0.0575865
+0.0554914
+0.0534039
+0.0513251
+0.0492559
+0.0471977
+0.045152
+0.0431206
+0.0411049
+0.0391022
+0.037091
+0.0350929
+0.0331191
+0.0311527
+0.0291462
+0.0271681
+0.0252253
+0.0233263
+0.0213989
+0.0194848
+0.0176253
+0.0158206
+0.0140424
+0.0123727
+0.0107967
+0.00934687
+0.00807863
+0.00704144
+0.00605879
+0.00542245
+0.00530377
+0.00574975
+0.00653438
+0.00754911
+0.00853464
+0.00984894
+0.0112512
+0.0128291
+0.0143927
+0.0160333
+0.017698
+0.0194672
+0.0212877
+0.0231169
+0.0249892
+0.0269086
+0.0287884
+0.0307071
+0.0326561
+0.0346251
+0.0365996
+0.0385821
+0.0405829
+0.0426015
+0.0446363
+0.0466799
+0.0486806
+0.0506961
+0.0527256
+0.0547675
+0.0567577
+0.0587549
+0.0607654
+0.0627808
+0.0645929
+0.0664279
+0.0673203
+0.0678675
+0.0684804
+0.0691572
+0.0698962
+0.0706954
+0.0715528
+0.0724662
+0.0729082
+0.0733929
+0.0739395
+0.0745464
+0.0752122
+0.0755974
+0.0746031
+0.0736405
+0.0727194
+0.0718532
+0.0710441
+0.070294
+0.0696047
+0.0689752
+0.0684077
+0.0679062
+0.0674722
+0.0671069
+0.0668007
+0.0665536
+0.0663779
+0.0662742
+0.0662428
+0.0642871
+0.0622344
+0.0601627
+0.0580779
+0.0560012
+0.0539335
+0.0518758
+0.0498295
+0.0477961
+0.0457771
+0.0437451
+0.0417206
+0.0397137
+0.0377273
+0.0357387
+0.0337204
+0.031725
+0.0297571
+0.027812
+0.025858
+0.023945
+0.022057
+0.0201997
+0.0183927
+0.016607
+0.0149097
+0.0132832
+0.0117573
+0.010359
+0.00901105
+0.00774053
+0.00667945
+0.00603486
+0.00591468
+0.00631506
+0.00697037
+0.00782378
+0.00877492
+0.01
+0.0114139
+0.0129359
+0.0144847
+0.0160729
+0.01775
+0.0194191
+0.0211835
+0.023021
+0.0248712
+0.0267284
+0.0286321
+0.0305319
+0.0324554
+0.0344006
+0.0363665
+0.0383567
+0.0403677
+0.0423965
+0.0444141
+0.0464111
+0.0484197
+0.0504435
+0.0524499
+0.0544288
+0.0564233
+0.058432
+0.0604532
+0.0623598
+0.0641838
+0.0660301
+0.0669417
+0.0674919
+0.0681082
+0.0687887
+0.0695316
+0.0703349
+0.0711966
+0.0721146
+0.072712
+0.0731981
+0.0737461
+0.0743546
+0.0750221
+0.0752625
+0.0742637
+0.0733141
+0.0723888
+0.0715187
+0.0707057
+0.069952
+0.0692593
+0.0686296
+0.0680645
+0.0675607
+0.0671244
+0.0667572
+0.0664602
+0.066229
+0.0660525
+0.0659483
+0.0659167
+0.0647858
+0.0627191
+0.060661
+0.0586126
+0.0565748
+0.0545459
+0.0525122
+0.0504651
+0.0484284
+0.0464052
+0.044394
+0.0424005
+0.0403981
+0.0383747
+0.0363708
+0.0343897
+0.0324134
+0.0304395
+0.0284973
+0.0265937
+0.0247235
+0.0228729
+0.021071
+0.0193178
+0.017621
+0.015943
+0.0143371
+0.0127865
+0.0112867
+0.00986548
+0.00860933
+0.00761349
+0.0069646
+0.00664104
+0.0068892
+0.00754123
+0.00838517
+0.00921642
+0.010333
+0.0116092
+0.013068
+0.0145881
+0.0162194
+0.0178509
+0.0195114
+0.0212538
+0.0230053
+0.0248259
+0.0266862
+0.0285297
+0.0304192
+0.0323386
+0.0342831
+0.0362556
+0.0382519
+0.0402684
+0.0422462
+0.0442269
+0.0462265
+0.0482428
+0.050208
+0.0521799
+0.0541687
+0.0561725
+0.0581898
+0.0601319
+0.0619945
+0.0638472
+0.0657029
+0.066633
+0.0671857
+0.0678048
+0.0684883
+0.0692344
+0.0700412
+0.0709064
+0.0718281
+0.0725815
+0.0730685
+0.0736174
+0.074227
+0.0748956
+0.0749901
+0.0739877
+0.0730371
+0.0721227
+0.0712494
+0.0704333
+0.0696766
+0.0689812
+0.0683489
+0.0677816
+0.0672809
+0.0668467
+0.0664779
+0.0661797
+0.0659529
+0.0657983
+0.0656938
+0.0656622
+0.065299
+0.063249
+0.0612088
+0.0591793
+0.0571617
+0.0551573
+0.0531459
+0.0511192
+0.0491056
+0.0471007
+0.0450963
+0.0430833
+0.0410754
+0.0390856
+0.0370861
+0.0351067
+0.0331484
+0.031221
+0.0293306
+0.0274808
+0.025642
+0.0238355
+0.0220837
+0.0204048
+0.0186887
+0.017024
+0.0153706
+0.0137487
+0.0122831
+0.0109069
+0.00967436
+0.00865093
+0.00791126
+0.00755405
+0.00769485
+0.00823631
+0.00893639
+0.00980611
+0.0108379
+0.0120475
+0.0134032
+0.0148657
+0.0164742
+0.0181549
+0.0197774
+0.0214259
+0.0231644
+0.0248974
+0.0266847
+0.0285283
+0.0304165
+0.0323288
+0.0342738
+0.0362468
+0.0382436
+0.040194
+0.0421573
+0.0441419
+0.0461214
+0.0480613
+0.050022
+0.052001
+0.0539963
+0.0560063
+0.0579561
+0.0598062
+0.0616786
+0.0635714
+0.0654475
+0.0663912
+0.0669459
+0.0675671
+0.068253
+0.0690017
+0.0698112
+0.0706792
+0.0715994
+0.072517
+0.0730044
+0.0735538
+0.0741638
+0.0748331
+0.0747719
+0.0737693
+0.0728187
+0.0719009
+0.0710378
+0.0702282
+0.0694692
+0.0687717
+0.0681375
+0.0675684
+0.0670661
+0.066632
+0.0662676
+0.0659707
+0.0657432
+0.0655882
+0.065506
+0.0654799
+0.0655215
+0.0638497
+0.0618293
+0.0598209
+0.0578257
+0.0558452
+0.053846
+0.0518247
+0.0498177
+0.0478055
+0.0458052
+0.0438051
+0.0418017
+0.039818
+0.0378572
+0.0359203
+0.0340089
+0.0321332
+0.0302997
+0.0284423
+0.0266288
+0.0248761
+0.023198
+0.0215065
+0.0197496
+0.0180264
+0.016377
+0.0148658
+0.0133692
+0.0120257
+0.0108441
+0.0098358
+0.00909503
+0.00874104
+0.00881896
+0.00918128
+0.00982804
+0.0105674
+0.011536
+0.0126904
+0.0139271
+0.0153245
+0.0168851
+0.0184646
+0.0200815
+0.0217628
+0.0233838
+0.0250878
+0.0268624
+0.0286946
+0.0305642
+0.0324671
+0.0344043
+0.0363702
+0.0382784
+0.0402013
+0.0421504
+0.0441024
+0.0460232
+0.0479671
+0.0499315
+0.0519139
+0.0539063
+0.0558673
+0.0577013
+0.0595593
+0.0614393
+0.0633392
+0.0652574
+0.0662109
+0.0667672
+0.06739
+0.0680777
+0.0688283
+0.0696398
+0.07051
+0.0714323
+0.0724007
+0.073006
+0.0735554
+0.0741654
+0.0748347
+0.074614
+0.0736092
+0.0726566
+0.0717367
+0.0708716
+0.0700644
+0.0693171
+0.0686254
+0.0679936
+0.0674258
+0.0669224
+0.0664874
+0.0661221
+0.0658278
+0.0656054
+0.0654507
+0.0653683
+0.0653594
+0.0654027
+0.0645193
+0.0625205
+0.060535
+0.0585642
+0.0565783
+0.0545679
+0.0525511
+0.0505487
+0.04856
+0.0465551
+0.0445676
+0.0426001
+0.0406554
+0.0387369
+0.0368464
+0.0349856
+0.033128
+0.0312793
+0.0294775
+0.0277318
+0.0260534
+0.0243058
+0.0225031
+0.0207752
+0.0191337
+0.0175624
+0.0159874
+0.0145725
+0.0132738
+0.012082
+0.0111327
+0.0104576
+0.010082
+0.0100485
+0.0103351
+0.0108449
+0.0115092
+0.0124097
+0.0134354
+0.0146146
+0.0159905
+0.017427
+0.0189702
+0.0205421
+0.0221558
+0.0237532
+0.025439
+0.0271969
+0.0290138
+0.0308663
+0.0327346
+0.0346165
+0.0364698
+0.0383583
+0.0402774
+0.0422064
+0.0441087
+0.0460292
+0.0479729
+0.0499282
+0.0518849
+0.0538003
+0.0556892
+0.0575288
+0.0593923
+0.0612774
+0.0631822
+0.0646989
+0.0660854
+0.06666
+0.0672838
+0.0679726
+0.0687244
+0.069537
+0.0704085
+0.0713321
+0.0723019
+0.0730733
+0.0736222
+0.0742317
+0.0749003
+0.0745085
+0.0735056
+0.072555
+0.0716391
+0.0707729
+0.0699646
+0.0692161
+0.0685296
+0.0679044
+0.0673371
+0.0668369
+0.0664052
+0.0660434
+0.0657505
+0.0655278
+0.0653777
+0.0653009
+0.065295
+0.0653525
+0.0652555
+0.06328
+0.0613183
+0.0593381
+0.0573224
+0.0553192
+0.0533307
+0.0513358
+0.0493463
+0.0473747
+0.0454231
+0.0434943
+0.0415914
+0.039718
+0.0378506
+0.0359957
+0.0341617
+0.0323721
+0.0306347
+0.0289588
+0.0271245
+0.0253331
+0.023609
+0.0219497
+0.0202809
+0.0186895
+0.0172174
+0.0158424
+0.0145608
+0.0134832
+0.0125666
+0.0119242
+0.0114745
+0.011279
+0.0114353
+0.0118623
+0.0125692
+0.0133717
+0.0143372
+0.0154814
+0.0167597
+0.0181429
+0.0195843
+0.0211309
+0.022674
+0.0242746
+0.0259547
+0.027661
+0.0293942
+0.0311767
+0.033002
+0.0348331
+0.0366846
+0.038536
+0.0403947
+0.0422699
+0.0441741
+0.0460989
+0.0480256
+0.0499101
+0.0517779
+0.0536702
+0.0555843
+0.0574395
+0.0593057
+0.0607114
+0.0620323
+0.0634014
+0.0648156
+0.066272
+0.0672489
+0.067938
+0.0686901
+0.0695032
+0.0703751
+0.0712992
+0.0722694
+0.0732061
+0.073754
+0.0743624
+0.0750299
+0.0744666
+0.0734631
+0.0725119
+0.0716085
+0.0707419
+0.0699332
+0.0691844
+0.0684976
+0.0678745
+0.0673169
+0.066818
+0.0663862
+0.0660242
+0.0657312
+0.0655084
+0.0653584
+0.0652815
+0.0652781
+0.0653482
+0.065485
+0.0640963
+0.0621099
+0.0601096
+0.0581206
+0.0561366
+0.0541465
+0.0521722
+0.050216
+0.0482798
+0.0463663
+0.0444785
+0.0426122
+0.0407425
+0.0388987
+0.0370789
+0.0353012
+0.0335724
+0.031829
+0.0299985
+0.0282194
+0.0265003
+0.0247705
+0.0230876
+0.0214755
+0.0199685
+0.0185083
+0.0171716
+0.0159879
+0.0149018
+0.0139866
+0.0132852
+0.0128313
+0.0126436
+0.0127516
+0.0130753
+0.0136791
+0.0144641
+0.0153666
+0.0164346
+0.0176845
+0.0189938
+0.0203715
+0.0218341
+0.0233386
+0.0249026
+0.0265144
+0.0281479
+0.0298529
+0.031584
+0.0333455
+0.0351323
+0.0369331
+0.0387359
+0.0405695
+0.0424369
+0.0443339
+0.046212
+0.0480239
+0.0498661
+0.0517355
+0.0536293
+0.0555448
+0.0568665
+0.0581096
+0.0594075
+0.0607567
+0.0621539
+0.0635959
+0.0650796
+0.0666024
+0.0679741
+0.0687258
+0.0695384
+0.0704099
+0.0713335
+0.0723033
+0.0733257
+0.0739505
+0.0745574
+0.0752231
+0.0744841
+0.0734809
+0.07253
+0.0716334
+0.0707787
+0.0699704
+0.0692221
+0.0685356
+0.0679129
+0.0673557
+0.0668656
+0.0664394
+0.0660777
+0.065785
+0.0655624
+0.0654124
+0.0653356
+0.0653322
+0.0654023
+0.065539
+0.064911
+0.0629236
+0.0609436
+0.0589628
+0.056987
+0.0550275
+0.053086
+0.0511647
+0.0492658
+0.0473916
+0.0455137
+0.0436625
+0.0418297
+0.0400233
+0.038257
+0.0365367
+0.0347281
+0.0329131
+0.0311464
+0.029376
+0.0276236
+0.025938
+0.024311
+0.0227397
+0.0212339
+0.0198561
+0.0185585
+0.0173629
+0.0163174
+0.0154499
+0.0147843
+0.0143735
+0.0141488
+0.0141469
+0.0143894
+0.0149042
+0.0156039
+0.016512
+0.0175174
+0.018645
+0.0198971
+0.0212396
+0.0226255
+0.0241055
+0.0256195
+0.0271627
+0.0287657
+0.0304062
+0.0320837
+0.0337876
+0.0355142
+0.0372551
+0.0390412
+0.0408611
+0.0427006
+0.0444929
+0.0462684
+0.0480781
+0.0499183
+0.0517859
+0.0531929
+0.0543455
+0.0555587
+0.0568305
+0.0581569
+0.0595345
+0.0609597
+0.0624292
+0.06394
+0.0654893
+0.0670744
+0.0686884
+0.0696392
+0.0705127
+0.071435
+0.0724034
+0.0734244
+0.0742112
+0.074816
+0.0754794
+0.0745559
+0.0735564
+0.0726064
+0.0717108
+0.0708717
+0.0700762
+0.0693289
+0.0686435
+0.0680218
+0.0674655
+0.0669763
+0.0665556
+0.0662036
+0.0659115
+0.0656893
+0.0655397
+0.065463
+0.0654596
+0.0655295
+0.065666
+0.0657631
+0.0637851
+0.0618149
+0.0598531
+0.0579077
+0.0559804
+0.0540731
+0.0521881
+0.0503033
+0.0484384
+0.0466019
+0.0447832
+0.0429893
+0.0412337
+0.039499
+0.037659
+0.035858
+0.0340161
+0.0322179
+0.0304711
+0.0287782
+0.027145
+0.0255615
+0.0240483
+0.0226149
+0.0212267
+0.0199593
+0.0188382
+0.0178402
+0.0170243
+0.0164002
+0.0159153
+0.0156546
+0.0155883
+0.0157981
+0.0162181
+0.0168939
+0.0176964
+0.0186682
+0.019769
+0.020921
+0.0221559
+0.0234749
+0.0248922
+0.0263397
+0.0278627
+0.0294261
+0.0310407
+0.0326572
+0.0342849
+0.0359552
+0.0376668
+0.0394042
+0.0411849
+0.0429289
+0.044659
+0.0464281
+0.0482318
+0.0495271
+0.0506815
+0.0518871
+0.0530661
+0.0543079
+0.0556082
+0.0569632
+0.0583689
+0.0598219
+0.0613187
+0.0628562
+0.0644315
+0.066042
+0.0676806
+0.0693454
+0.0704958
+0.0714358
+0.0724298
+0.073471
+0.0745354
+0.0751376
+0.0757982
+0.0746697
+0.0736816
+0.0727461
+0.071855
+0.0710175
+0.0702384
+0.0695047
+0.0688211
+0.068201
+0.0676461
+0.0671582
+0.0667387
+0.0663888
+0.0661034
+0.0658819
+0.0657327
+0.0656563
+0.0656529
+0.0657226
+0.0658651
+0.0660712
+0.0646897
+0.0627412
+0.0608093
+0.0588954
+0.0570016
+0.0551121
+0.0532354
+0.0513835
+0.0495592
+0.0477551
+0.0459727
+0.0442239
+0.0424397
+0.0405773
+0.0387121
+0.0368826
+0.0350945
+0.0333545
+0.0316576
+0.0300213
+0.0284406
+0.0269251
+0.0254179
+0.0239895
+0.0226708
+0.0214757
+0.0204067
+0.0194609
+0.018644
+0.01796
+0.0174648
+0.01719
+0.0170933
+0.0172101
+0.0175434
+0.0180806
+0.0188585
+0.0197732
+0.0208645
+0.0219524
+0.0231335
+0.0243982
+0.025734
+0.0270968
+0.0285628
+0.0300914
+0.0316296
+0.0331883
+0.0348042
+0.0364445
+0.0381206
+0.0398214
+0.0414946
+0.0432122
+0.0449315
+0.0459854
+0.0470227
+0.0481374
+0.0493243
+0.0505783
+0.0518477
+0.0531179
+0.0544467
+0.0558299
+0.0572634
+0.0587437
+0.0602673
+0.061831
+0.0634318
+0.0650647
+0.0667237
+0.0684126
+0.0701293
+0.0714644
+0.0724581
+0.0734981
+0.074581
+0.0755214
+0.0761787
+0.0748475
+0.0738618
+0.0729285
+0.0720498
+0.0712277
+0.0704537
+0.0697372
+0.0690628
+0.0684448
+0.067892
+0.0674059
+0.0669879
+0.0666393
+0.0663613
+0.0661464
+0.0659977
+0.0659216
+0.0659183
+0.0659877
+0.0661296
+0.0663421
+0.0656485
+0.0637294
+0.0618283
+0.0599354
+0.0580493
+0.0561852
+0.0543456
+0.0525328
+0.050742
+0.0489704
+0.0472034
+0.0453348
+0.0434528
+0.0416011
+0.0397839
+0.038006
+0.0362694
+0.0345748
+0.0329362
+0.0313569
+0.0298147
+0.0282812
+0.0268257
+0.0254654
+0.0242176
+0.0230726
+0.0219728
+0.020993
+0.0201536
+0.0195023
+0.0190043
+0.0186827
+0.0185275
+0.0186064
+0.0188848
+0.0193843
+0.0200719
+0.0209227
+0.0219367
+0.0229329
+0.0240866
+0.0253287
+0.0265614
+0.0278837
+0.0293104
+0.0307735
+0.0322735
+0.0338025
+0.0353555
+0.0369639
+0.0386122
+0.0402289
+0.041884
+0.0426908
+0.0435928
+0.0445843
+0.0456595
+0.0468082
+0.048028
+0.0493149
+0.0506639
+0.0519931
+0.0533499
+0.0547608
+0.0562216
+0.0577286
+0.0592783
+0.060867
+0.0624844
+0.0641353
+0.0658177
+0.0675293
+0.0692679
+0.0710315
+0.0725517
+0.0735905
+0.074672
+0.0758014
+0.0766199
+0.0750888
+0.0741062
+0.0731761
+0.0723004
+0.0714812
+0.0707203
+0.0700046
+0.0693392
+0.0687356
+0.0681852
+0.0677011
+0.067285
+0.066938
+0.0666612
+0.0664555
+0.0663216
+0.0662584
+0.0662551
+0.0663241
+0.0664653
+0.0666783
+0.0666656
+0.0647701
+0.0628763
+0.0610024
+0.0591503
+0.057322
+0.0555201
+0.0537416
+0.0519559
+0.0501099
+0.0482204
+0.046357
+0.0445183
+0.0427128
+0.0409449
+0.0392107
+0.0375211
+0.0358818
+0.0342792
+0.0326796
+0.0311509
+0.0296866
+0.0283158
+0.0269505
+0.0256823
+0.0245247
+0.0234747
+0.0225328
+0.0217141
+0.0210278
+0.0204995
+0.0201655
+0.0200201
+0.020058
+0.0202971
+0.0207224
+0.0213473
+0.0221493
+0.0230482
+0.0240584
+0.0251377
+0.0263074
+0.0275153
+0.0287922
+0.0301577
+0.0315447
+0.0330085
+0.0344854
+0.03601
+0.0375718
+0.0390783
+0.0397173
+0.040452
+0.0412867
+0.0422188
+0.0432418
+0.0443495
+0.0455316
+0.0467847
+0.0481049
+0.0494869
+0.0509244
+0.0523161
+0.0537541
+0.0552416
+0.0567746
+0.0583485
+0.0599532
+0.061594
+0.0632681
+0.064973
+0.0667063
+0.0684657
+0.0702495
+0.0720556
+0.0737478
+0.074827
+0.0759542
+0.0771209
+0.075393
+0.0744144
+0.0734882
+0.0726163
+0.0718007
+0.0710432
+0.0703309
+0.0696686
+0.0690696
+0.0685353
+0.0680657
+0.0676518
+0.0673066
+0.0670314
+0.0668268
+0.0666937
+0.0666323
+0.0666429
+0.0667255
+0.0668712
+0.0670828
+0.0673651
+0.0658316
+0.0639692
+0.0621283
+0.0603108
+0.0585188
+0.0567517
+0.0549065
+0.0530069
+0.0511305
+0.0492801
+0.0474584
+0.0456641
+0.0439012
+0.0421719
+0.0404873
+0.0388384
+0.0371767
+0.0355724
+0.0340309
+0.0325487
+0.031067
+0.0296665
+0.0283624
+0.0271463
+0.0260524
+0.0250359
+0.0241112
+0.023265
+0.0225892
+0.0220919
+0.0217355
+0.0215508
+0.0215531
+0.0217625
+0.0221562
+0.0227009
+0.0233752
+0.0242128
+0.025188
+0.0262302
+0.0273873
+0.0285669
+0.029794
+0.0310665
+0.0324146
+0.0338215
+0.035256
+0.0366765
+0.0371062
+0.0376512
+0.038314
+0.0390884
+0.0399535
+0.0409159
+0.0419707
+0.0431111
+0.0443263
+0.0456124
+0.0469656
+0.0483802
+0.0498496
+0.0513429
+0.0528074
+0.0543208
+0.0558791
+0.0574775
+0.0591058
+0.0607696
+0.0624658
+0.064192
+0.0659458
+0.067725
+0.0695277
+0.0713522
+0.0731967
+0.0750457
+0.0761696
+0.0773392
+0.0757593
+0.0747856
+0.073864
+0.0729966
+0.0721852
+0.0714319
+0.0707236
+0.0700651
+0.0694694
+0.0689382
+0.0684731
+0.0680753
+0.0677442
+0.0674707
+0.0672675
+0.0671352
+0.0670742
+0.0670848
+0.0671668
+0.06732
+0.0675441
+0.0678363
+0.0669479
+0.0651175
+0.06331
+0.0615274
+0.0597196
+0.0578121
+0.0559254
+0.0540616
+0.0522232
+0.0504129
+0.04863
+0.0468704
+0.0451485
+0.0434689
+0.0417643
+0.0401042
+0.0384973
+0.0369449
+0.0353833
+0.0338781
+0.032451
+0.0311114
+0.0298556
+0.0286983
+0.0276004
+0.0266195
+0.0256764
+0.0248623
+0.0241931
+0.0236889
+0.0233223
+0.023127
+0.0231249
+0.0232859
+0.023593
+0.0240578
+0.0246959
+0.0254753
+0.0264004
+0.0274069
+0.0285144
+0.0296265
+0.0308471
+0.0320903
+0.0333946
+0.0347095
+0.0349321
+0.0352656
+0.0357253
+0.0362911
+0.0369782
+0.0377801
+0.0386854
+0.0396848
+0.0407776
+0.0419507
+0.0431985
+0.0445172
+0.0459027
+0.047349
+0.0488495
+0.0503905
+0.0519359
+0.053474
+0.0550563
+0.0566778
+0.0583285
+0.0600138
+0.0617308
+0.063477
+0.06525
+0.0670477
+0.0688681
+0.0707096
+0.0725705
+0.0742796
+0.0758934
+0.0772974
+0.07618
+0.075212
+0.0742958
+0.0734334
+0.072627
+0.0718782
+0.0711816
+0.0705274
+0.0699356
+0.069408
+0.068946
+0.068551
+0.068224
+0.0679661
+0.067776
+0.0676447
+0.0675842
+0.0675947
+0.0676761
+0.0678282
+0.0680505
+0.0683418
+0.0681165
+0.0663184
+0.0645445
+0.0626319
+0.0607368
+0.0588623
+0.0570103
+0.0551832
+0.0533834
+0.0516061
+0.0498552
+0.0481404
+0.0464155
+0.0447135
+0.0430556
+0.0414284
+0.0398128
+0.0382527
+0.0367354
+0.0352879
+0.03392
+0.032626
+0.0314142
+0.0302573
+0.0291839
+0.0281653
+0.0272622
+0.0264905
+0.0258244
+0.0253
+0.0249403
+0.0247492
+0.0247196
+0.0248094
+0.0250634
+0.0254889
+0.0260697
+0.0268038
+0.0276181
+0.0285518
+0.0296001
+0.0307572
+0.0319652
+0.0331516
+0.0333104
+0.0333735
+0.0335798
+0.0339266
+0.0344096
+0.0350153
+0.035727
+0.0365563
+0.0374912
+0.0385216
+0.0396464
+0.0408578
+0.0421483
+0.0435048
+0.0449215
+0.0463984
+0.0479287
+0.0494984
+0.0511137
+0.0527046
+0.0543093
+0.0559525
+0.057624
+0.0593293
+0.0610656
+0.0628302
+0.064621
+0.0664357
+0.0682725
+0.0701296
+0.0717319
+0.0733363
+0.0749704
+0.0766323
+0.0766522
+0.0756899
+0.0747795
+0.0739228
+0.0731218
+0.0723781
+0.0716938
+0.0710542
+0.0704669
+0.0699433
+0.0694849
+0.0690929
+0.0687685
+0.0685126
+0.0683261
+0.0682082
+0.0681482
+0.0681585
+0.0682393
+0.0683901
+0.0686106
+0.0689001
+0.0692563
+0.0674629
+0.0655611
+0.0636779
+0.0618149
+0.0599741
+0.0581575
+0.0563676
+0.0545957
+0.0528531
+0.0511024
+0.0493742
+0.0476815
+0.0459967
+0.0443311
+0.0427129
+0.0411478
+0.0396289
+0.0381654
+0.0367743
+0.0354491
+0.0341743
+0.0329748
+0.031834
+0.0307371
+0.0297499
+0.0288714
+0.0281043
+0.0274657
+0.0269732
+0.0266254
+0.0263891
+0.0262944
+0.0263573
+0.0265809
+0.0269651
+0.0274807
+0.0281305
+0.0288883
+0.0297824
+0.0308034
+0.0319171
+0.0322897
+0.032086
+0.0320311
+0.0321023
+0.0323167
+0.0326769
+0.0331781
+0.0338141
+0.0345694
+0.0354258
+0.0363898
+0.0374505
+0.0386065
+0.0398496
+0.0411717
+0.0425652
+0.0440125
+0.0455189
+0.0470791
+0.0486879
+0.0503299
+0.0520117
+0.0536416
+0.0553046
+0.0569951
+0.0587186
+0.0604724
+0.0622539
+0.0640608
+0.0658909
+0.0676691
+0.0692291
+0.0708225
+0.072447
+0.0741008
+0.0757817
+0.0771833
+0.0762278
+0.0753239
+0.0744735
+0.0736784
+0.0729405
+0.0722614
+0.0716314
+0.0710536
+0.0705344
+0.0700798
+0.0696912
+0.0693696
+0.0691159
+0.068931
+0.0688154
+0.0687694
+0.0687867
+0.0688667
+0.0690162
+0.0692347
+0.0695216
+0.069876
+0.0685052
+0.0666332
+0.0647811
+0.0629508
+0.0611442
+0.0593607
+0.0575965
+0.055824
+0.0540692
+0.0523447
+0.0506268
+0.0489227
+0.0472586
+0.0456391
+0.0440689
+0.042546
+0.0410696
+0.0396592
+0.0382938
+0.0369873
+0.0357284
+0.0345358
+0.0333777
+0.0323236
+0.0313764
+0.0305228
+0.0297905
+0.0291683
+0.0286723
+0.0282818
+0.0280146
+0.0279057
+0.027944
+0.0281281
+0.0284421
+0.028919
+0.0295306
+0.030253
+0.0311079
+0.031972
+0.0314626
+0.0310996
+0.030888
+0.0308311
+0.0309087
+0.0311313
+0.031505
+0.0320246
+0.032683
+0.0334702
+0.0343783
+0.0353755
+0.0364767
+0.0376655
+0.0389386
+0.0402906
+0.0417136
+0.0431894
+0.0447236
+0.0463105
+0.0479451
+0.0496213
+0.0513318
+0.0530559
+0.0547367
+0.0564442
+0.0581841
+0.0599535
+0.06175
+0.0635685
+0.0652312
+0.0667763
+0.0683566
+0.0699698
+0.0716138
+0.0732863
+0.0749855
+0.0777726
+0.0768244
+0.0759276
+0.075084
+0.0742955
+0.0735637
+0.0728833
+0.0722573
+0.0716928
+0.071183
+0.0707325
+0.0703475
+0.0700289
+0.0697777
+0.0695945
+0.06948
+0.0694344
+0.069458
+0.0695505
+0.069703
+0.0699193
+0.0702034
+0.0705543
+0.0696009
+0.0677591
+0.0659387
+0.0641414
+0.0623618
+0.060564
+0.0587837
+0.0570292
+0.0552968
+0.0535686
+0.0518686
+0.0502066
+0.0485865
+0.0470128
+0.0454813
+0.0439943
+0.0425681
+0.0411695
+0.0398212
+0.0385344
+0.0372823
+0.0360854
+0.0349757
+0.0339712
+0.0330542
+0.0322268
+0.0314986
+0.0308547
+0.0303557
+0.029953
+0.0296692
+0.0295452
+0.0295509
+0.029689
+0.0299866
+0.0304386
+0.0310098
+0.0317044
+0.0315768
+0.0309058
+0.0303783
+0.0300018
+0.0297822
+0.0297228
+0.0298247
+0.0300556
+0.0304425
+0.0309799
+0.0316599
+0.032471
+0.0334063
+0.0344556
+0.0355858
+0.0368115
+0.0381238
+0.0395115
+0.0409615
+0.0424635
+0.0440229
+0.0456343
+0.0472923
+0.0489908
+0.0507226
+0.0524887
+0.0542514
+0.0559713
+0.0577212
+0.0595004
+0.0613062
+0.0628515
+0.0643791
+0.0659441
+0.0675439
+0.0691761
+0.0708384
+0.0725289
+0.0742454
+0.0784187
+0.0774784
+0.0765892
+0.075753
+0.0749715
+0.0742434
+0.0735638
+0.0729436
+0.0723845
+0.0718878
+0.0714465
+0.0710653
+0.07075
+0.0705013
+0.07032
+0.0702067
+0.0701616
+0.0701849
+0.0702765
+0.0704361
+0.0706553
+0.0709364
+0.0712837
+0.0707475
+0.0689363
+0.0671358
+0.0653142
+0.0635155
+0.0617381
+0.0599869
+0.0582497
+0.0565255
+0.0548313
+0.0531716
+0.0515517
+0.0499752
+0.0484369
+0.0469412
+0.0454931
+0.0440593
+0.0426899
+0.0413744
+0.0400786
+0.0388514
+0.0376959
+0.0366239
+0.0356398
+0.0347334
+0.0339
+0.0331749
+0.0325643
+0.0320256
+0.0316088
+0.0313329
+0.0311861
+0.0311915
+0.0313223
+0.0316045
+0.0320256
+0.0324132
+0.0314717
+0.0306422
+0.0299503
+0.0294057
+0.0290166
+0.0287895
+0.028728
+0.0288334
+0.0291038
+0.0295047
+0.0300589
+0.0307581
+0.0315924
+0.0325529
+0.0336289
+0.0348075
+0.0360597
+0.0373983
+0.0388146
+0.0402968
+0.0418245
+0.043409
+0.0450443
+0.0467247
+0.0484445
+0.0502009
+0.0519855
+0.0537994
+0.0555665
+0.0573288
+0.0590702
+0.0605367
+0.062044
+0.063591
+0.065175
+0.0667932
+0.0684433
+0.070123
+0.0718303
+0.0735631
+0.0791202
+0.0781883
+0.0773073
+0.076479
+0.0757049
+0.0749756
+0.0743026
+0.0736887
+0.0731353
+0.0726437
+0.0722153
+0.0718428
+0.0715309
+0.0712849
+0.0711057
+0.0709936
+0.070949
+0.070972
+0.0710626
+0.0712205
+0.0714452
+0.0717288
+0.0720723
+0.0719191
+0.0700848
+0.0682691
+0.0664733
+0.0647018
+0.0629567
+0.061212
+0.059493
+0.0578058
+0.056151
+0.0545316
+0.0529532
+0.0514092
+0.0498918
+0.0484021
+0.0469675
+0.0455579
+0.0441859
+0.042879
+0.0416265
+0.0404537
+0.0393323
+0.0382925
+0.0373052
+0.0363988
+0.0356043
+0.0348906
+0.0342532
+0.0337219
+0.0333133
+0.0330303
+0.0328911
+0.032889
+0.0330129
+0.0332796
+0.0327022
+0.0316318
+0.0306736
+0.0298289
+0.0291248
+0.0285682
+0.0281676
+0.0279336
+0.0278703
+0.0279789
+0.0282468
+0.0286739
+0.0292472
+0.0299667
+0.0308254
+0.0318121
+0.0329151
+0.0341234
+0.0354258
+0.0367892
+0.038228
+0.039735
+0.041285
+0.0428894
+0.0445438
+0.0462424
+0.0479795
+0.0497523
+0.0515573
+0.0533904
+0.0552413
+0.0568511
+0.0582927
+0.0597783
+0.0613042
+0.0628695
+0.0644711
+0.0661066
+0.0677734
+0.0694693
+0.0711923
+0.0729403
+0.0798706
+0.0789476
+0.0780752
+0.0772551
+0.0764868
+0.075764
+0.0750981
+0.0744908
+0.0739433
+0.0734572
+0.0730335
+0.0726734
+0.0723697
+0.0721266
+0.0719495
+0.0718387
+0.0717946
+0.0718174
+0.0719069
+0.0720629
+0.0722851
+0.0725726
+0.0729183
+0.0730407
+0.0712305
+0.0694422
+0.0676775
+0.0659293
+0.0641871
+0.0624731
+0.0607897
+0.0591396
+0.057524
+0.0559443
+0.0543676
+0.0528225
+0.0513245
+0.0498642
+0.0484239
+0.0470334
+0.0457057
+0.0444374
+0.0432299
+0.0420888
+0.0409774
+0.0399517
+0.0389838
+0.0381047
+0.0373077
+0.036592
+0.035978
+0.0354542
+0.0350517
+0.0347829
+0.0346507
+0.0346348
+0.0345709
+0.0332729
+0.0320722
+0.03098
+0.030001
+0.0291368
+0.0284156
+0.0278484
+0.0274418
+0.0272015
+0.0271365
+0.0272463
+0.027515
+0.0279533
+0.0285534
+0.0293053
+0.030187
+0.0311939
+0.0323181
+0.0335478
+0.0348717
+0.0362656
+0.0377349
+0.0392714
+0.0408533
+0.0424766
+0.0441465
+0.0458598
+0.0476108
+0.0493969
+0.0512144
+0.0530593
+0.0547175
+0.0561284
+0.057588
+0.0590914
+0.0606346
+0.0622167
+0.0638347
+0.0654861
+0.0671683
+0.0688791
+0.0706165
+0.0723784
+0.0806707
+0.079757
+0.0788935
+0.078082
+0.077322
+0.076607
+0.0759485
+0.075348
+0.0748068
+0.0743263
+0.0739076
+0.0735519
+0.0732599
+0.0730244
+0.0728494
+0.07274
+0.0726964
+0.0727189
+0.0728073
+0.0729614
+0.0731808
+0.0734649
+0.073813
+0.073361
+0.0716319
+0.0699286
+0.0682532
+0.0666077
+0.0649943
+0.0634156
+0.0618742
+0.0603729
+0.0589014
+0.0573207
+0.0557714
+0.0542513
+0.0527592
+0.0513168
+0.0499108
+0.0485629
+0.0472782
+0.0460354
+0.0448211
+0.0436742
+0.0426043
+0.0416161
+0.0406738
+0.0398079
+0.039015
+0.0383311
+0.0377262
+0.0372195
+0.0368364
+0.0365807
+0.0364484
+0.0355189
+0.0341165
+0.0328006
+0.0315819
+0.0304722
+0.0294763
+0.0285962
+0.027861
+0.0272823
+0.0268685
+0.026623
+0.0265565
+0.0266674
+0.0269419
+0.0273893
+0.0280015
+0.0287679
+0.0296766
+0.0307093
+0.0318506
+0.0330977
+0.0344392
+0.0358587
+0.0373439
+0.0388959
+0.0405069
+0.0421639
+0.0438551
+0.0455794
+0.0473408
+0.0491367
+0.0509635
+0.0526798
+0.0540551
+0.0554828
+0.056959
+0.0584784
+0.0600374
+0.0616348
+0.0632677
+0.0649335
+0.0666297
+0.068354
+0.0701043
+0.0718788
+0.0815218
+0.0806177
+0.0797636
+0.078961
+0.0782095
+0.0775028
+0.076852
+0.0762586
+0.0757239
+0.0752492
+0.0748357
+0.0744844
+0.0741961
+0.0739716
+0.0738033
+0.0736953
+0.0736524
+0.0736746
+0.0737618
+0.073914
+0.0741305
+0.074411
+0.0747546
+0.0731502
+0.0714159
+0.0697074
+0.0680265
+0.0663754
+0.0647562
+0.0631716
+0.0616241
+0.0601166
+0.0586522
+0.0572341
+0.055866
+0.0545476
+0.0532865
+0.0520872
+0.0509538
+0.0498909
+0.048833
+0.0475892
+0.0464113
+0.0453017
+0.0442664
+0.0432808
+0.042382
+0.041528
+0.0407686
+0.0401002
+0.0395026
+0.039019
+0.0386537
+0.0382634
+0.0367047
+0.0352134
+0.0337983
+0.0324694
+0.0312379
+0.0301155
+0.0291074
+0.0282158
+0.0274704
+0.0268833
+0.0264646
+0.0262153
+0.0261478
+0.0262591
+0.0265378
+0.0269919
+0.0276129
+0.0283898
+0.0293102
+0.0303554
+0.0315095
+0.0327696
+0.034124
+0.0355618
+0.0370733
+0.0386411
+0.0402623
+0.0419354
+0.0436542
+0.0454005
+0.047171
+0.0489731
+0.0507494
+0.0520836
+0.0534742
+0.0549131
+0.0564005
+0.0579325
+0.0595058
+0.0611171
+0.0627635
+0.0644423
+0.0661511
+0.0678875
+0.0696496
+0.0714354
+0.0822675
+0.0815283
+0.0806838
+0.0798904
+0.0791456
+0.0784472
+0.0778043
+0.0772183
+0.0766903
+0.0762217
+0.0758134
+0.0754666
+0.0751821
+0.0749605
+0.0747969
+0.0746903
+0.074648
+0.0746698
+0.074756
+0.0749061
+0.0751198
+0.0753966
+0.0747661
+0.0730045
+0.0712667
+0.0695545
+0.0678698
+0.0662148
+0.0645916
+0.0630028
+0.0614511
+0.0599392
+0.0584704
+0.0570478
+0.0556751
+0.054352
+0.0530864
+0.0518824
+0.0507444
+0.0496771
+0.0486849
+0.0477727
+0.0469451
+0.0462066
+0.0455518
+0.0449885
+0.0441105
+0.0432853
+0.0425507
+0.0418904
+0.0413187
+0.0408566
+0.0397307
+0.0381061
+0.0365407
+0.0350424
+0.0336201
+0.0322839
+0.031045
+0.0299153
+0.0289003
+0.0280021
+0.0272509
+0.0266589
+0.0262371
+0.0259865
+0.0259184
+0.0260294
+0.0263105
+0.0267685
+0.0273945
+0.0281774
+0.0291045
+0.0301569
+0.0313183
+0.0325858
+0.0339475
+0.0353925
+0.036911
+0.0384943
+0.0401348
+0.0418141
+0.0435378
+0.0453018
+0.0470955
+0.0489073
+0.0502234
+0.051567
+0.0529672
+0.0544196
+0.0559201
+0.0574649
+0.0590507
+0.0606741
+0.0623321
+0.0640223
+0.065742
+0.067489
+0.0692612
+0.0710567
+0.0828488
+0.082487
+0.0816524
+0.0808686
+0.08013
+0.0794403
+0.0788055
+0.0782269
+0.0777058
+0.0772433
+0.0768405
+0.0764984
+0.0762177
+0.0759991
+0.0758407
+0.0757357
+0.0756939
+0.0757154
+0.0758004
+0.0759484
+0.0761592
+0.0764322
+0.0746878
+0.0729244
+0.0711846
+0.0694704
+0.0677836
+0.0661264
+0.064501
+0.06291
+0.0613558
+0.0598416
+0.0583703
+0.0569452
+0.05557
+0.0542443
+0.0529761
+0.0517695
+0.0506291
+0.0495592
+0.0485647
+0.0476502
+0.0468204
+0.0460799
+0.0454233
+0.0448583
+0.0443943
+0.0440346
+0.0437817
+0.0436374
+0.0431024
+0.0413783
+0.0397003
+0.0380744
+0.0365077
+0.0350079
+0.0335842
+0.0322465
+0.0310061
+0.029875
+0.0288584
+0.0279586
+0.0272056
+0.0266118
+0.0261881
+0.0259399
+0.0258717
+0.0259827
+0.0262645
+0.0267233
+0.0273504
+0.0281346
+0.029063
+0.0301168
+0.0312798
+0.0325487
+0.0339119
+0.0353583
+0.0368782
+0.0384629
+0.0401047
+0.0417968
+0.0435264
+0.045291
+0.0470914
+0.0484856
+0.0497798
+0.0511351
+0.0525468
+0.0540105
+0.055522
+0.0570776
+0.0586738
+0.0603074
+0.0619753
+0.0636749
+0.0654037
+0.0671595
+0.0689402
+0.0707439
+0.0834835
+0.0832055
+0.0826677
+0.0818936
+0.0811615
+0.0804807
+0.0798542
+0.0792832
+0.0787691
+0.0783129
+0.0779157
+0.0775783
+0.0773015
+0.077086
+0.0769323
+0.0768292
+0.076788
+0.0768093
+0.076893
+0.077039
+0.0772468
+0.0764597
+0.0746738
+0.07291
+0.0711699
+0.0694553
+0.0677682
+0.0661106
+0.0644848
+0.0628933
+0.0613388
+0.0598241
+0.0583523
+0.0569268
+0.0555511
+0.054225
+0.0529563
+0.0517493
+0.0506083
+0.0495381
+0.0485431
+0.0476282
+0.046798
+0.0460571
+0.0454002
+0.0448349
+0.0443707
+0.0440108
+0.0437577
+0.0436133
+0.0431855
+0.0414649
+0.0397906
+0.0381685
+0.0366058
+0.0351102
+0.0336908
+0.0323576
+0.0311215
+0.029984
+0.0289528
+0.0280551
+0.027304
+0.0267119
+0.0262896
+0.0260418
+0.0259739
+0.026087
+0.0263742
+0.0268377
+0.0274687
+0.0282558
+0.0291856
+0.0302359
+0.0313944
+0.0326589
+0.0340177
+0.0354598
+0.0369755
+0.0385562
+0.0401941
+0.0418826
+0.0436088
+0.0453702
+0.0468608
+0.0481181
+0.0494294
+0.050794
+0.0522149
+0.0536877
+0.0552081
+0.0567723
+0.0583768
+0.0600185
+0.0616942
+0.0634013
+0.0651374
+0.0669002
+0.0686876
+0.0704977
+0.0841705
+0.0838948
+0.0836755
+0.0829628
+0.0822385
+0.0815667
+0.0809486
+0.0803854
+0.0798784
+0.0794286
+0.0790369
+0.0787043
+0.0784315
+0.0782192
+0.0780677
+0.077969
+0.0779284
+0.0779494
+0.0780319
+0.0781757
+0.0783141
+0.0765087
+0.074724
+0.0729614
+0.0712226
+0.0695093
+0.0678235
+0.0661673
+0.0645429
+0.0629529
+0.0613999
+0.0598867
+0.0584165
+0.0569927
+0.0556186
+0.0542941
+0.0530271
+0.0518217
+0.0506824
+0.0496137
+0.0486203
+0.0477069
+0.0468781
+0.0461385
+0.0454827
+0.0449185
+0.0444552
+0.0440959
+0.0438434
+0.0436993
+0.0433592
+0.0416458
+0.039979
+0.038365
+0.0368106
+0.0353237
+0.0339132
+0.032589
+0.0313622
+0.0302319
+0.0292094
+0.0283198
+0.0275759
+0.0269898
+0.0265719
+0.0263256
+0.0262584
+0.0263714
+0.0266556
+0.0271143
+0.027739
+0.0285187
+0.029441
+0.0304932
+0.0316605
+0.0329148
+0.0342634
+0.0356956
+0.0372017
+0.0387732
+0.0404023
+0.0420825
+0.0438008
+0.0453695
+0.0465641
+0.0478293
+0.0491596
+0.0505399
+0.0519677
+0.0534473
+0.0549743
+0.056545
+0.0581558
+0.059803
+0.061482
+0.0631924
+0.0649316
+0.0666957
+0.0684832
+0.0702936
+0.0849085
+0.0846351
+0.0844178
+0.0840738
+0.0833592
+0.0826965
+0.0820869
+0.0815316
+0.0810317
+0.0805883
+0.0802023
+0.0798746
+0.0796058
+0.0793966
+0.0792474
+0.0791531
+0.0791131
+0.0791337
+0.079215
+0.0793566
+0.0784232
+0.0766204
+0.0748383
+0.0730785
+0.0713425
+0.0696322
+0.0679494
+0.0662964
+0.0646752
+0.0630886
+0.061539
+0.0600293
+0.0585627
+0.0571425
+0.0557721
+0.0544514
+0.0531881
+0.0519864
+0.0508508
+0.0497858
+0.0487958
+0.0478857
+0.0470601
+0.0463234
+0.0456703
+0.0451084
+0.0446471
+0.0442894
+0.0440379
+0.0438945
+0.0436411
+0.0419392
+0.0402846
+0.0386833
+0.0371422
+0.0356691
+0.0342728
+0.0329631
+0.0317507
+0.0306347
+0.0296262
+0.0287495
+0.028017
+0.0274403
+0.0270294
+0.0267861
+0.0267201
+0.0268324
+0.0271117
+0.0275628
+0.0281775
+0.0289454
+0.0298546
+0.0308926
+0.032047
+0.0332948
+0.0346286
+0.0360463
+0.0375384
+0.0390963
+0.0407125
+0.0423804
+0.0440461
+0.0451695
+0.0463692
+0.0476396
+0.048975
+0.0503521
+0.0517851
+0.0532697
+0.0548017
+0.0563753
+0.0579846
+0.0596304
+0.0613097
+0.0630203
+0.0647597
+0.0665259
+0.0683166
+0.07013
+0.0856961
+0.0854253
+0.08521
+0.0850506
+0.0845218
+0.0838683
+0.0832672
+0.0827199
+0.0822272
+0.0817903
+0.08141
+0.0810872
+0.0808224
+0.0806164
+0.0804694
+0.0803794
+0.08034
+0.0803603
+0.0804403
+0.0804114
+0.0785932
+0.0767944
+0.0750165
+0.0732609
+0.0715294
+0.0698236
+0.0681456
+0.0664974
+0.0648813
+0.0632998
+0.0617555
+0.0602513
+0.0587902
+0.0573756
+0.056011
+0.054696
+0.0534385
+0.0522426
+0.0511127
+0.0500532
+0.0490686
+0.0481593
+0.0473317
+0.0465926
+0.0459461
+0.0453962
+0.0449433
+0.044588
+0.0443382
+0.0441957
+0.0440303
+0.042344
+0.0407059
+0.0391218
+0.0375987
+0.0361442
+0.0347671
+0.0334767
+0.0322836
+0.0311867
+0.0301966
+0.0293369
+0.0286195
+0.0280552
+0.027653
+0.0274145
+0.02735
+0.0274606
+0.0277338
+0.028175
+0.0287766
+0.0295289
+0.0304207
+0.03144
+0.032575
+0.0338033
+0.0351178
+0.0365165
+0.0379901
+0.0395302
+0.0411294
+0.042781
+0.0439493
+0.0450743
+0.0462566
+0.0475104
+0.0488305
+0.0502114
+0.0516483
+0.0531368
+0.0546725
+0.0562516
+0.0578636
+0.0595119
+0.0611943
+0.0629079
+0.0646504
+0.0664195
+0.068213
+0.0700291
+0.086532
+0.0862638
+0.0860506
+0.0858928
+0.0857244
+0.0850801
+0.0844877
+0.0839483
+0.0834629
+0.0830325
+0.0826579
+0.08234
+0.0820793
+0.0818764
+0.0817317
+0.0816456
+0.0816073
+0.0816273
+0.0817061
+0.0806368
+0.0788238
+0.0770304
+0.075258
+0.0735082
+0.0717827
+0.0700831
+0.0684114
+0.0667698
+0.0651604
+0.0635859
+0.0620487
+0.0605517
+0.0590981
+0.0576911
+0.056334
+0.0550268
+0.053777
+0.0525888
+0.0514627
+0.0504043
+0.0494204
+0.0485155
+0.0476942
+0.0469607
+0.0463194
+0.045774
+0.0453248
+0.0449725
+0.0447249
+0.0445837
+0.044524
+0.0428572
+0.0412394
+0.0396766
+0.0381756
+0.036744
+0.0353902
+0.0341234
+0.0329537
+0.0318799
+0.030912
+0.0300728
+0.0293733
+0.0288238
+0.0284314
+0.0281995
+0.0281368
+0.0282444
+0.0285111
+0.0289404
+0.0295265
+0.0302601
+0.0311309
+0.0321278
+0.0332393
+0.0344439
+0.0357349
+0.0371103
+0.0385612
+0.0400794
+0.0416575
+0.0428951
+0.0439178
+0.0450239
+0.0462074
+0.0474626
+0.0487839
+0.0501661
+0.0516043
+0.053094
+0.0546309
+0.0562112
+0.0578243
+0.0594737
+0.0611571
+0.0628718
+0.0646153
+0.0663852
+0.0681796
+0.0699966
+0.0874148
+0.0871494
+0.0869383
+0.0867821
+0.086681
+0.0863227
+0.0857388
+0.0852073
+0.0847292
+0.0843052
+0.0839363
+0.0836232
+0.0833666
+0.0831668
+0.0830244
+0.0829396
+0.0829125
+0.0829328
+0.0827459
+0.0809209
+0.0791144
+0.0773277
+0.0755623
+0.0738198
+0.0721016
+0.0704097
+0.068746
+0.0671126
+0.0655117
+0.0639457
+0.0624174
+0.0609295
+0.0594851
+0.0580875
+0.0567399
+0.055439
+0.0541929
+0.0530081
+0.0518888
+0.0508393
+0.0498639
+0.0489672
+0.0481536
+0.0474273
+0.0467923
+0.0462525
+0.045808
+0.0454595
+0.0452145
+0.0450748
+0.0450414
+0.0434747
+0.0418808
+0.0403429
+0.0388677
+0.0374625
+0.0361356
+0.0348959
+0.033753
+0.0327054
+0.0317627
+0.0309465
+0.0302673
+0.0297343
+0.029353
+0.0291285
+0.0290678
+0.0291719
+0.0294312
+0.0298474
+0.0304159
+0.0311286
+0.0319758
+0.0329471
+0.0340319
+0.0352094
+0.0364732
+0.0378218
+0.0392465
+0.0407391
+0.0420063
+0.042954
+0.0439752
+0.0450799
+0.046262
+0.0475158
+0.0488356
+0.0502164
+0.0516532
+0.0531415
+0.0546771
+0.0562561
+0.0578679
+0.0595161
+0.0611984
+0.062912
+0.0646543
+0.0664233
+0.0682167
+0.0700327
+0.0883432
+0.0880805
+0.0878717
+0.0877172
+0.0876171
+0.0875717
+0.0870271
+0.0865035
+0.0860326
+0.0856151
+0.0852519
+0.0849436
+0.0846909
+0.0844943
+0.0843541
+0.0842707
+0.0842441
+0.0842724
+0.0830731
+0.0812554
+0.0794565
+0.0776777
+0.0759205
+0.0741863
+0.0724769
+0.070794
+0.0691395
+0.0675156
+0.0659245
+0.0643686
+0.0628505
+0.0613732
+0.0599395
+0.0585526
+0.057213
+0.0559207
+0.0546856
+0.0535116
+0.0524031
+0.051364
+0.0503989
+0.0495119
+0.0487073
+0.0479894
+0.047362
+0.0468287
+0.0463898
+0.0460456
+0.0458038
+0.0456659
+0.0456329
+0.0441924
+0.0426253
+0.0411153
+0.0396688
+0.038293
+0.0369959
+0.035786
+0.0346724
+0.0336535
+0.0327381
+0.0319469
+0.0312894
+0.0307741
+0.0304048
+0.0301881
+0.0301296
+0.03023
+0.0304814
+0.0308833
+0.0314332
+0.0321233
+0.0329449
+0.0338884
+0.034944
+0.0360918
+0.0373258
+0.0386446
+0.04004
+0.0413248
+0.0421961
+0.0431242
+0.0441415
+0.0452421
+0.0464201
+0.0476697
+0.0489854
+0.0503621
+0.0517948
+0.0532792
+0.0548109
+0.0563862
+0.0579944
+0.0596391
+0.061318
+0.0630283
+0.0647675
+0.0665334
+0.068324
+0.0701372
+0.0893156
+0.0890558
+0.0888493
+0.0886965
+0.0885975
+0.0885527
+0.0883509
+0.0878353
+0.0873715
+0.0869604
+0.0866028
+0.0862994
+0.0860507
+0.0858572
+0.0857192
+0.0856371
+0.085611
+0.0852784
+0.0834529
+0.0816436
+0.0798534
+0.0780837
+0.0763358
+0.0746113
+0.0729118
+0.0712392
+0.0695953
+0.0679822
+0.0664023
+0.0648579
+0.0633516
+0.0618862
+0.0604646
+0.0590901
+0.057763
+0.0564832
+0.0552607
+0.0540993
+0.053003
+0.0519759
+0.0510224
+0.0501464
+0.0493522
+0.0486437
+0.0480249
+0.0474991
+0.0470664
+0.0467272
+0.0464889
+0.0463531
+0.0463205
+0.0450053
+0.0434676
+0.0419878
+0.0405725
+0.0392284
+0.0379633
+0.0367852
+0.0357028
+0.0347141
+0.0338274
+0.0330623
+0.0324274
+0.0319305
+0.0315738
+0.0313652
+0.0313088
+0.0314055
+0.0316485
+0.0320358
+0.0325662
+0.0332328
+0.0340276
+0.0349419
+0.0359666
+0.0370827
+0.0382848
+0.0395717
+0.0408674
+0.0416394
+0.0424799
+0.0434019
+0.0444129
+0.0455069
+0.0466782
+0.047921
+0.0492301
+0.0506001
+0.0520263
+0.0535042
+0.0550297
+0.0565988
+0.058203
+0.059842
+0.0615154
+0.0632203
+0.0649545
+0.0667154
+0.0685012
+0.0703098
+0.0903307
+0.0900739
+0.0898697
+0.0897186
+0.0896208
+0.0895764
+0.0895857
+0.0892009
+0.0887443
+0.0883396
+0.0879876
+0.087689
+0.0874442
+0.0872538
+0.0871181
+0.0870373
+0.0869011
+0.085422
+0.0838881
+0.0820884
+0.0803082
+0.0785487
+0.0768114
+0.0750978
+0.0734096
+0.0717485
+0.0701166
+0.0685158
+0.0669485
+0.065417
+0.0639238
+0.0624718
+0.0610639
+0.0597032
+0.05839
+0.0571243
+0.0559158
+0.0547683
+0.0536856
+0.0526719
+0.0517312
+0.0508674
+0.0500846
+0.0493867
+0.0487773
+0.0482596
+0.0478338
+0.0475002
+0.0472658
+0.0471322
+0.0471001
+0.0459085
+0.044402
+0.0429545
+0.0415721
+0.0402614
+0.0390298
+0.0378849
+0.0368348
+0.0358773
+0.0350201
+0.0342816
+0.0336697
+0.0331914
+0.0328475
+0.032647
+0.0325928
+0.0326857
+0.0329202
+0.0332927
+0.0338034
+0.0344461
+0.0352135
+0.0360978
+0.0370905
+0.0381738
+0.0393426
+0.040578
+0.0412617
+0.0420094
+0.0428512
+0.0437688
+0.0447715
+0.045857
+0.0470196
+0.0482536
+0.0495539
+0.0509152
+0.0523328
+0.0538023
+0.0553196
+0.0568807
+0.0584823
+0.060121
+0.0617899
+0.0634875
+0.0652145
+0.0669686
+0.0687478
+0.0705501
+0.0913871
+0.0911332
+0.0909314
+0.0907821
+0.0906854
+0.0906416
+0.0906507
+0.090599
+0.0901494
+0.089751
+0.0894046
+0.0891108
+0.0888699
+0.0886825
+0.088549
+0.0884695
+0.0870872
+0.0856111
+0.0841662
+0.082589
+0.0808198
+0.0790717
+0.0773461
+0.0756446
+0.0739689
+0.0723207
+0.0707019
+0.0691147
+0.0675613
+0.066044
+0.0645654
+0.0631281
+0.0617352
+0.0603896
+0.0590917
+0.0578413
+0.0566481
+0.0555157
+0.0544479
+0.0534487
+0.0525218
+0.0516713
+0.0509009
+0.0502143
+0.049615
+0.0491062
+0.0486879
+0.0483601
+0.0481299
+0.0479986
+0.0479672
+0.0468967
+0.045423
+0.0440091
+0.0426608
+0.0413847
+0.0401875
+0.0390765
+0.0380593
+0.0371334
+0.0363059
+0.0355941
+0.0350051
+0.0345447
+0.0342141
+0.0340217
+0.0339697
+0.0340589
+0.0342848
+0.0346427
+0.0351337
+0.0357525
+0.0364925
+0.0373465
+0.0383069
+0.0393567
+0.0404913
+0.0410647
+0.0417404
+0.0424796
+0.0433123
+0.0442378
+0.0452336
+0.0463082
+0.0474598
+0.0486827
+0.0499717
+0.051322
+0.0527286
+0.0541874
+0.0556942
+0.0572451
+0.0588368
+0.0604659
+0.0621271
+0.0638184
+0.0655394
+0.0672876
+0.0690611
+0.0708574
+0.0924833
+0.0922324
+0.0920331
+0.0918855
+0.09179
+0.0917467
+0.0917557
+0.091817
+0.0915854
+0.0911933
+0.0908524
+0.0905632
+0.0903262
+0.0901419
+0.0900105
+0.088829
+0.0873274
+0.0858555
+0.0844148
+0.0829232
+0.0813871
+0.0796515
+0.0779387
+0.0762505
+0.0745884
+0.0729542
+0.0713498
+0.0697773
+0.068239
+0.0667371
+0.0652741
+0.0638529
+0.0624761
+0.0611468
+0.0598653
+0.0586314
+0.0574546
+0.0563384
+0.0552866
+0.0543027
+0.0533907
+0.0525543
+0.051797
+0.0511224
+0.0505339
+0.0500345
+0.0496223
+0.0493007
+0.0490749
+0.0489462
+0.0489154
+0.0479647
+0.0465248
+0.0451454
+0.0438321
+0.0425911
+0.0414287
+0.040352
+0.0393678
+0.0384734
+0.0376752
+0.0369898
+0.0364234
+0.0359803
+0.035663
+0.0354784
+0.0354286
+0.0355141
+0.0357317
+0.0360752
+0.036547
+0.0371423
+0.0378551
+0.038679
+0.0396071
+0.0406234
+0.0411008
+0.0416609
+0.0423271
+0.0430563
+0.043878
+0.0447919
+0.0457924
+0.0468576
+0.047996
+0.0492056
+0.0504813
+0.0518182
+0.0532118
+0.0546577
+0.0561518
+0.0576905
+0.0592701
+0.0608877
+0.0625377
+0.0642182
+0.0659287
+0.0676669
+0.0694307
+0.0712182
+0.0936179
+0.0933701
+0.0931732
+0.0930274
+0.0929331
+0.0928903
+0.0928992
+0.0929598
+0.0930507
+0.0926649
+0.0923294
+0.0920449
+0.0918117
+0.0916304
+0.0906433
+0.0891184
+0.0876219
+0.086155
+0.0847194
+0.0832655
+0.0817736
+0.0802869
+0.078588
+0.076914
+0.0752665
+0.0736474
+0.0720584
+0.0705018
+0.0689796
+0.0674942
+0.066048
+0.0646437
+0.0632842
+0.0619723
+0.0607082
+0.0594918
+0.0583323
+0.0572333
+0.0561981
+0.0552306
+0.0543341
+0.0535124
+0.0527689
+0.0521069
+0.0515297
+0.0510398
+0.0506326
+0.0503175
+0.0500963
+0.0499702
+0.04994
+0.0491072
+0.0477018
+0.0463575
+0.0450795
+0.0438737
+0.0427463
+0.0417036
+0.040752
+0.0398887
+0.0391194
+0.0384597
+0.0379153
+0.037489
+0.0371846
+0.0370076
+0.0369599
+0.0370418
+0.0372513
+0.037581
+0.0380341
+0.0386064
+0.0392927
+0.0400871
+0.0409833
+0.0413696
+0.0418115
+0.0423622
+0.0430176
+0.0437352
+0.0445444
+0.0454449
+0.0464314
+0.0474984
+0.0486251
+0.0498194
+0.0510798
+0.0524014
+0.0537799
+0.0552109
+0.0566905
+0.0582149
+0.0597807
+0.0613848
+0.0630218
+0.0646897
+0.0663881
+0.0681145
+0.069867
+0.0716436
+0.0947896
+0.0945449
+0.0943504
+0.0942064
+0.0941133
+0.0940711
+0.0940798
+0.0941396
+0.0942503
+0.0941644
+0.0938343
+0.0935543
+0.093325
+0.0925246
+0.0909797
+0.0894606
+0.0879698
+0.0865089
+0.0850792
+0.0836538
+0.0821791
+0.0807265
+0.0792925
+0.0776337
+0.0760018
+0.0743987
+0.0728261
+0.0712862
+0.0697811
+0.0683132
+0.0668847
+0.0654984
+0.0641569
+0.0628632
+0.0616174
+0.0604193
+0.059278
+0.0581968
+0.0571792
+0.0562285
+0.0553482
+0.0545417
+0.0538124
+0.0531635
+0.0525978
+0.0521148
+0.051716
+0.0514075
+0.051191
+0.0510677
+0.0510381
+0.0503192
+0.0489486
+0.0476394
+0.0463968
+0.0452262
+0.0441333
+0.0431241
+0.0422046
+0.0413716
+0.0406305
+0.0399957
+0.0394725
+0.0390623
+0.0387703
+0.0386006
+0.0385548
+0.0386334
+0.0388351
+0.0391514
+0.0395866
+0.0401367
+0.0407973
+0.0415629
+0.0418612
+0.0421843
+0.0426178
+0.0431582
+0.0438017
+0.0445117
+0.045307
+0.0461927
+0.0471635
+0.0482144
+0.0493402
+0.0505208
+0.0517641
+0.0530688
+0.0544303
+0.0558447
+0.0573079
+0.0588163
+0.0603665
+0.0619554
+0.0635777
+0.0652315
+0.0669161
+0.0686292
+0.0703689
+0.0721331
+0.095997
+0.0957553
+0.0955633
+0.0954212
+0.0953292
+0.0952876
+0.0952962
+0.0953515
+0.095451
+0.0956006
+0.0953658
+0.0950904
+0.0944632
+0.0929058
+0.0913675
+0.0898549
+0.0883708
+0.0869166
+0.0854937
+0.0840974
+0.0826306
+0.0811867
+0.0797752
+0.0783994
+0.0767926
+0.0752063
+0.073651
+0.0721287
+0.0706416
+0.0691918
+0.0677819
+0.0664143
+0.0650917
+0.063817
+0.0625902
+0.0614111
+0.0602885
+0.0592258
+0.0582261
+0.0572928
+0.0564291
+0.0556383
+0.0549236
+0.0542879
+0.0537341
+0.0532582
+0.052868
+0.0525663
+0.0523546
+0.052234
+0.0522051
+0.0515932
+0.0502575
+0.0489833
+0.0477756
+0.0466396
+0.0455806
+0.0446042
+0.0437158
+0.0429143
+0.0421973
+0.0415823
+0.0410751
+0.0406797
+0.0403994
+0.0402365
+0.0401926
+0.040268
+0.040462
+0.040773
+0.0411971
+0.041726
+0.0423618
+0.0425621
+0.0427679
+0.0430842
+0.0435087
+0.0440382
+0.044669
+0.0453808
+0.0461611
+0.0470307
+0.0479845
+0.0490178
+0.0501256
+0.051303
+0.052531
+0.053817
+0.0551601
+0.0565562
+0.0580015
+0.0594923
+0.0610254
+0.0625976
+0.0642036
+0.0658417
+0.067511
+0.0692095
+0.0709349
+0.0726854
+0.0972388
+0.0970002
+0.0968106
+0.0966704
+0.0965796
+0.0965364
+0.0965353
+0.096584
+0.0966822
+0.09683
+0.0969226
+0.0964623
+0.0948872
+0.0933369
+0.0918059
+0.0903007
+0.088824
+0.0873773
+0.0859621
+0.08458
+0.0831375
+0.0817025
+0.0803
+0.0789333
+0.0776045
+0.0760684
+0.0745311
+0.0730272
+0.0715587
+0.070128
+0.0687372
+0.067389
+0.066086
+0.0648308
+0.0636235
+0.0624639
+0.0613606
+0.0603168
+0.0593355
+0.0584199
+0.0575731
+0.0567983
+0.0560983
+0.0554761
+0.054932
+0.0544658
+0.0540843
+0.0537894
+0.0535826
+0.0534647
+0.0534365
+0.0529221
+0.0516207
+0.050381
+0.0492077
+0.0481055
+0.0470795
+0.0461348
+0.0452765
+0.0444937
+0.0438014
+0.0432093
+0.0427213
+0.0423413
+0.042072
+0.0419157
+0.0418735
+0.0419459
+0.0421322
+0.0424309
+0.0428398
+0.0433555
+0.0434696
+0.0435644
+0.0437655
+0.0440747
+0.0444898
+0.0450077
+0.0456251
+0.0463372
+0.0471017
+0.0479542
+0.0488901
+0.0499046
+0.0509931
+0.0521509
+0.0533667
+0.0546368
+0.0559633
+0.0573398
+0.0587658
+0.0602377
+0.0617523
+0.0633064
+0.0648972
+0.0665184
+0.0681712
+0.0698536
+0.0715635
+0.073299
+0.0985136
+0.0982781
+0.098091
+0.0979522
+0.0978531
+0.097803
+0.097802
+0.09785
+0.097947
+0.0980928
+0.0982873
+0.0969246
+0.0953597
+0.0938172
+0.0922942
+0.0907971
+0.0893286
+0.0878902
+0.0864834
+0.0851098
+0.0836986
+0.0822733
+0.0808807
+0.0795241
+0.0782053
+0.0769262
+0.0754646
+0.0739797
+0.0725305
+0.0711193
+0.0697483
+0.06842
+0.067137
+0.0659018
+0.0647145
+0.0635748
+0.0624912
+0.0614665
+0.0605039
+0.0596062
+0.0587766
+0.0580178
+0.0573327
+0.0567241
+0.0561891
+0.0557333
+0.0553606
+0.0550725
+0.0548705
+0.0547554
+0.0547279
+0.0543068
+0.0530394
+0.0518337
+0.0506939
+0.0496248
+0.0486309
+0.0477169
+0.0468823
+0.0461219
+0.0454545
+0.0448841
+0.0444146
+0.0440492
+0.0437904
+0.0436403
+0.0435998
+0.0436693
+0.0438482
+0.0441354
+0.0445285
+0.0445556
+0.0445581
+0.0446519
+0.0448481
+0.0451499
+0.0455551
+0.0460611
+0.0466645
+0.0473601
+0.0481237
+0.0489584
+0.0498754
+0.0508703
+0.0519386
+0.0530758
+0.0542708
+0.0555203
+0.0568267
+0.0581863
+0.0595936
+0.0610455
+0.0625405
+0.0640756
+0.0656478
+0.0672547
+0.0688937
+0.0705599
+0.0722531
+0.0739725
+0.0998202
+0.0995878
+0.0993951
+0.0992491
+0.0991513
+0.0991019
+0.0991009
+0.0991483
+0.099244
+0.0993879
+0.0989983
+0.0974269
+0.0958799
+0.094346
+0.0928316
+0.0913434
+0.0898838
+0.0884545
+0.0870568
+0.0856923
+0.0843048
+0.0828982
+0.0815162
+0.0801703
+0.0788623
+0.0775941
+0.0763677
+0.0749841
+0.0735547
+0.0721635
+0.0708127
+0.0695048
+0.0682422
+0.0670274
+0.0658603
+0.0647408
+0.063677
+0.0626718
+0.0617279
+0.0608483
+0.0600358
+0.0592932
+0.058623
+0.0580267
+0.0575021
+0.0570569
+0.0566928
+0.0564116
+0.0562143
+0.056102
+0.0560752
+0.0557433
+0.0545093
+0.0533368
+0.0522299
+0.0511928
+0.0502299
+0.0493456
+0.0485293
+0.0477952
+0.0471514
+0.0466018
+0.0461498
+0.0457982
+0.0455494
+0.045405
+0.0453661
+0.0454329
+0.045605
+0.0458811
+0.0458257
+0.0457233
+0.0457257
+0.0458183
+0.0460096
+0.0463038
+0.046699
+0.0471927
+0.0477819
+0.0484566
+0.0492071
+0.0500384
+0.050936
+0.0519105
+0.0529578
+0.0540736
+0.0552471
+0.0564749
+0.0577598
+0.0590979
+0.0604859
+0.0619202
+0.0633947
+0.0649096
+0.0664621
+0.0680497
+0.0696701
+0.0713209
+0.0730002
+0.0747041
+0.101151
+0.100913
+0.100721
+0.100577
+0.100481
+0.100432
+0.100431
+0.100478
+0.100572
+0.100714
+0.0995384
+0.0979757
+0.0964375
+0.0949224
+0.0934174
+0.0919386
+0.0904887
+0.089069
+0.0876811
+0.0863264
+0.0849601
+0.0835758
+0.0822052
+0.0808708
+0.0795743
+0.0783176
+0.0771028
+0.0759316
+0.0746291
+0.0732583
+0.0719282
+0.0706409
+0.0693989
+0.0682047
+0.0670582
+0.065959
+0.0649152
+0.0639294
+0.0630044
+0.0621429
+0.0613475
+0.0606209
+0.0599656
+0.0593799
+0.0588674
+0.0584326
+0.0580771
+0.0578026
+0.0576102
+0.0575006
+0.0574744
+0.0572276
+0.0560263
+0.0548862
+0.0538112
+0.0528052
+0.0518722
+0.0510114
+0.0502179
+0.0495088
+0.0488876
+0.0483578
+0.0479223
+0.0475838
+0.0473444
+0.0472055
+0.0471681
+0.0472323
+0.0473979
+0.0472502
+0.0470639
+0.0469641
+0.0469665
+0.0470579
+0.0472441
+0.0475307
+0.0479158
+0.0483971
+0.0489718
+0.0496257
+0.0503587
+0.0511751
+0.0520671
+0.0530209
+0.0540467
+0.0551405
+0.0562917
+0.0574972
+0.0587597
+0.0600756
+0.0614415
+0.062854
+0.0643101
+0.065806
+0.0673378
+0.0689053
+0.070506
+0.0721377
+0.0737983
+0.075486
+0.102501
+0.102266
+0.102077
+0.101935
+0.10184
+0.101791
+0.10179
+0.101837
+0.10193
+0.1017
+0.100124
+0.0985702
+0.0970413
+0.0955383
+0.0940505
+0.0925819
+0.0911422
+0.0897328
+0.0883554
+0.0870111
+0.0856664
+0.084295
+0.0829464
+0.0816241
+0.0803397
+0.0790952
+0.0778925
+0.0767334
+0.0756201
+0.0744016
+0.0730922
+0.0718258
+0.0706047
+0.0694312
+0.0683053
+0.0672265
+0.0662027
+0.0652364
+0.0643301
+0.0634866
+0.0627083
+0.0619977
+0.0613568
+0.060782
+0.0602814
+0.0598568
+0.0595099
+0.059242
+0.0590543
+0.0589474
+0.0589218
+0.0587561
+0.0575867
+0.0564781
+0.0554339
+0.0544579
+0.0535538
+0.0527115
+0.051944
+0.0512588
+0.050659
+0.0501479
+0.0497281
+0.049402
+0.0491715
+0.0490377
+0.0490017
+0.0490636
+0.0488277
+0.0485534
+0.0483696
+0.0482726
+0.0482748
+0.0483649
+0.0485462
+0.0488251
+0.0492001
+0.0496689
+0.0502291
+0.0508622
+0.0515777
+0.0523751
+0.0532507
+0.0541933
+0.0551973
+0.0562687
+0.0574009
+0.0585837
+0.0598232
+0.0611162
+0.0624593
+0.0638493
+0.0652833
+0.0667583
+0.0682718
+0.0698191
+0.0713993
+0.0730111
+0.0746523
+0.0763211
+0.10388
+0.103648
+0.103461
+0.103321
+0.103227
+0.10318
+0.103179
+0.103224
+0.103316
+0.102318
+0.100751
+0.0992071
+0.0976882
+0.0961953
+0.0947295
+0.0932722
+0.0918433
+0.0904449
+0.0890784
+0.0877353
+0.0864163
+0.0850633
+0.0837383
+0.0824287
+0.0811571
+0.0799253
+0.0787352
+0.0775888
+0.0764879
+0.0754345
+0.0743027
+0.0730572
+0.0718571
+0.0707044
+0.069599
+0.0685406
+0.0675367
+0.0665897
+0.0657022
+0.0648765
+0.0641151
+0.0634202
+0.0627912
+0.0622296
+0.0617408
+0.0613263
+0.0609878
+0.0607264
+0.0605432
+0.060439
+0.060414
+0.0603254
+0.059187
+0.0581089
+0.0570946
+0.0561475
+0.0552662
+0.0544467
+0.053704
+0.0530415
+0.0524622
+0.0519688
+0.0515638
+0.0512494
+0.0510272
+0.0508983
+0.0508636
+0.0505462
+0.0501856
+0.0499187
+0.0497376
+0.0496432
+0.0496454
+0.0497296
+0.0499059
+0.0501773
+0.0505422
+0.0509987
+0.0515444
+0.0521615
+0.0528594
+0.0536377
+0.0544931
+0.0554181
+0.0564003
+0.0574493
+0.0585615
+0.0597307
+0.060947
+0.0622166
+0.0635364
+0.0649034
+0.0663145
+0.0677671
+0.0692586
+0.0707864
+0.072348
+0.073939
+0.0755601
+0.0772093
+0.105286
+0.105057
+0.104873
+0.104735
+0.104642
+0.104595
+0.104594
+0.104639
+0.104554
+0.102975
+0.101417
+0.0998842
+0.0983757
+0.0968934
+0.0954383
+0.0940084
+0.0925909
+0.091204
+0.0898486
+0.0885069
+0.0871996
+0.0858806
+0.0845694
+0.0832818
+0.0820234
+0.0808049
+0.0796279
+0.0784945
+0.0774065
+0.0763658
+0.0753439
+0.0743329
+0.0731536
+0.0720217
+0.0709369
+0.0698987
+0.0689146
+0.0679868
+0.0671177
+0.0663097
+0.0655649
+0.0648855
+0.0642682
+0.0637197
+0.0632424
+0.0628378
+0.0625074
+0.0622525
+0.0620738
+0.0619721
+0.0619478
+0.0619324
+0.0608242
+0.0597756
+0.0587901
+0.0578707
+0.0570078
+0.0562137
+0.0554947
+0.0548538
+0.0542938
+0.0538172
+0.0534263
+0.0531229
+0.0529085
+0.0527843
+0.0523916
+0.0519515
+0.0516008
+0.0513413
+0.0511628
+0.0510711
+0.0510732
+0.0511517
+0.051323
+0.051587
+0.051942
+0.0523863
+0.0529177
+0.053519
+0.0541994
+0.0549588
+0.0557939
+0.0567012
+0.0576615
+0.058688
+0.0597771
+0.0609256
+0.0621276
+0.0633736
+0.0646698
+0.0660133
+0.0674012
+0.0688309
+0.0702998
+0.0718054
+0.0733456
+0.0749169
+0.0765173
+0.0781463
+0.106719
+0.106493
+0.106312
+0.106175
+0.106084
+0.106037
+0.106036
+0.106081
+0.105243
+0.103673
+0.102127
+0.100604
+0.0991069
+0.0976356
+0.0961918
+0.0947765
+0.093384
+0.092009
+0.0906551
+0.0893256
+0.0880305
+0.0867456
+0.0854476
+0.0841797
+0.082935
+0.08173
+0.0805666
+0.0794465
+0.0783717
+0.0773441
+0.0763399
+0.0753759
+0.0744639
+0.0733807
+0.0723163
+0.0712982
+0.0703337
+0.0694249
+0.068574
+0.0677833
+0.0670549
+0.0663888
+0.0657851
+0.0652493
+0.0647832
+0.0643883
+0.064066
+0.0638172
+0.063643
+0.0635438
+0.0635201
+0.0635718
+0.0624952
+0.0614752
+0.0605173
+0.05962
+0.0587795
+0.0580096
+0.0573131
+0.0566928
+0.0561511
+0.0556905
+0.0553128
+0.0550198
+0.0548128
+0.054351
+0.0538379
+0.0534098
+0.0530687
+0.0528164
+0.0526407
+0.0525515
+0.0525508
+0.0526265
+0.0527931
+0.0530497
+0.053395
+0.0538273
+0.0543446
+0.0549303
+0.0555934
+0.056334
+0.057149
+0.0580353
+0.0589771
+0.0599811
+0.0610471
+0.0621722
+0.063353
+0.0645842
+0.0658566
+0.0671764
+0.0685407
+0.0699471
+0.071393
+0.0728761
+0.0743942
+0.0759437
+0.0775229
+0.0791312
+0.108177
+0.107954
+0.107775
+0.107641
+0.10755
+0.107505
+0.107504
+0.107548
+0.105972
+0.104413
+0.102878
+0.101367
+0.0998808
+0.0984211
+0.0969889
+0.0955855
+0.0942121
+0.0928477
+0.0915069
+0.0901901
+0.0889075
+0.0876567
+0.0863725
+0.0851246
+0.0838939
+0.0827028
+0.0815533
+0.080447
+0.0793857
+0.0783714
+0.0773851
+0.0764343
+0.075535
+0.0746875
+0.073735
+0.0727368
+0.0717916
+0.0709015
+0.0700686
+0.0692949
+0.0685826
+0.067929
+0.067339
+0.0668157
+0.0663607
+0.0659752
+0.0656606
+0.065418
+0.065248
+0.0651512
+0.0651281
+0.0651786
+0.0641975
+0.063205
+0.0622737
+0.0613945
+0.0605786
+0.0598318
+0.0591568
+0.058556
+0.0580318
+0.0575861
+0.0572209
+0.0569378
+0.0564127
+0.0558326
+0.0553332
+0.0549168
+0.0545851
+0.0543398
+0.0541668
+0.0540802
+0.0540762
+0.0541498
+0.0543117
+0.0545612
+0.054897
+0.0553176
+0.055821
+0.0563914
+0.0570375
+0.0577596
+0.0585548
+0.0594201
+0.0603436
+0.0613252
+0.0623683
+0.0634699
+0.064627
+0.0658367
+0.067094
+0.0683899
+0.0697305
+0.0711133
+0.072536
+0.0739962
+0.0754917
+0.0770192
+0.0785768
+0.0801639
+0.10966
+0.10944
+0.109263
+0.10913
+0.109041
+0.108996
+0.108996
+0.10831
+0.106741
+0.105194
+0.10367
+0.102171
+0.100696
+0.0992487
+0.0978286
+0.0964374
+0.0950763
+0.0937301
+0.0924025
+0.091099
+0.0898295
+0.0885959
+0.0873425
+0.0861094
+0.0848984
+0.0837217
+0.0825864
+0.0814941
+0.0804466
+0.0794426
+0.0784775
+0.0775401
+0.0766538
+0.0758087
+0.0750166
+0.0742122
+0.073286
+0.0724143
+0.071599
+0.070842
+0.0701442
+0.0695041
+0.0689276
+0.0684164
+0.0679721
+0.0675958
+0.0672888
+0.0670521
+0.0668862
+0.0667919
+0.0667693
+0.0668185
+0.0659287
+0.0649626
+0.0640525
+0.063195
+0.0624027
+0.061678
+0.0610235
+0.0604412
+0.0599335
+0.0595021
+0.0591487
+0.0585657
+0.0579244
+0.0573596
+0.0568736
+0.0564685
+0.056146
+0.0559073
+0.0557373
+0.0556531
+0.0556461
+0.0557176
+0.055875
+0.0561175
+0.0564441
+0.0568532
+0.0573432
+0.0578985
+0.058528
+0.0592319
+0.0600076
+0.0608523
+0.0617576
+0.0627171
+0.0637374
+0.0648157
+0.0659492
+0.0671351
+0.0683706
+0.0696511
+0.0709679
+0.0723271
+0.0737264
+0.0751634
+0.0766362
+0.0781413
+0.0796769
+0.0812426
+0.111166
+0.110949
+0.110774
+0.110643
+0.110556
+0.110511
+0.11051
+0.109106
+0.107549
+0.106014
+0.104502
+0.103014
+0.101552
+0.100117
+0.0987096
+0.097331
+0.0959826
+0.0946549
+0.0933408
+0.0920512
+0.0907949
+0.0895747
+0.0883562
+0.0871374
+0.0859471
+0.084785
+0.083664
+0.082586
+0.08155
+0.0805559
+0.0796098
+0.0786872
+0.0778097
+0.0769758
+0.0761945
+0.0754333
+0.0747285
+0.073961
+0.0731629
+0.0724223
+0.0717376
+0.0711117
+0.0705484
+0.0700491
+0.0696152
+0.0692478
+0.0689482
+0.0687171
+0.0685553
+0.0684633
+0.0684412
+0.0684893
+0.0676865
+0.0667458
+0.0658533
+0.0650196
+0.0642497
+0.0635461
+0.062911
+0.0623464
+0.0618543
+0.0614363
+0.0607854
+0.0601031
+0.0594784
+0.0589285
+0.0584555
+0.0580615
+0.0577479
+0.0575137
+0.0573485
+0.0572666
+0.0572568
+0.0573263
+0.0574792
+0.057715
+0.0580326
+0.0584306
+0.0589075
+0.0594482
+0.0600615
+0.0607476
+0.0615042
+0.0623286
+0.0632159
+0.0641536
+0.0651514
+0.0662067
+0.0673168
+0.068479
+0.0696906
+0.0709493
+0.0722506
+0.0735861
+0.0749618
+0.0763757
+0.0778255
+0.079308
+0.0808215
+0.0823654
+0.112694
+0.11248
+0.112308
+0.112179
+0.112092
+0.112049
+0.111505
+0.109938
+0.108392
+0.106869
+0.10537
+0.103895
+0.102445
+0.101023
+0.099628
+0.0982623
+0.0969269
+0.0956211
+0.0943205
+0.0930451
+0.0918025
+0.0905958
+0.0894122
+0.0882079
+0.0870383
+0.0858909
+0.0847846
+0.083719
+0.082693
+0.0817128
+0.0807802
+0.0798712
+0.079008
+0.078187
+0.0774115
+0.0766623
+0.0759689
+0.0753329
+0.0747557
+0.0740334
+0.0733617
+0.0727499
+0.0721993
+0.0717115
+0.0712877
+0.070929
+0.0706365
+0.070411
+0.0702531
+0.0701632
+0.0701418
+0.0701887
+0.0694689
+0.0685485
+0.0676771
+0.0668661
+0.0661177
+0.0654342
+0.0648176
+0.0642697
+0.0637925
+0.0630743
+0.0623403
+0.0616755
+0.0610714
+0.060536
+0.0600757
+0.0596923
+0.0593873
+0.0591576
+0.058997
+0.0589174
+0.0589049
+0.0589724
+0.0591211
+0.0593504
+0.0596593
+0.0600465
+0.0605106
+0.0610372
+0.0616346
+0.0623034
+0.0630413
+0.0638459
+0.0647146
+0.0656317
+0.0666074
+0.06764
+0.0687269
+0.0698657
+0.0710537
+0.0722886
+0.0735681
+0.074888
+0.0762403
+0.0776308
+0.0790576
+0.0805175
+0.0820086
+0.0835306
+0.114244
+0.114033
+0.113863
+0.113736
+0.113651
+0.113607
+0.112362
+0.110807
+0.109273
+0.107763
+0.106276
+0.104814
+0.103377
+0.101967
+0.100586
+0.0992333
+0.0979111
+0.0966205
+0.0953403
+0.0940796
+0.0928509
+0.091658
+0.0905024
+0.0893193
+0.0881683
+0.087038
+0.085945
+0.0848893
+0.0838776
+0.0829115
+0.0819925
+0.0810971
+0.0802482
+0.07944
+0.0786662
+0.0779291
+0.0772471
+0.0766217
+0.0760542
+0.0755461
+0.0750147
+0.0744164
+0.0738783
+0.0734016
+0.0729876
+0.0726374
+0.0723518
+0.0721316
+0.0719775
+0.0718898
+0.0718688
+0.0719146
+0.0712741
+0.0703706
+0.069522
+0.0687328
+0.068005
+0.0673407
+0.0667416
+0.0662097
+0.0654298
+0.0646484
+0.0639325
+0.0632844
+0.0626986
+0.0621772
+0.0617292
+0.0613561
+0.0610595
+0.060836
+0.0606798
+0.0606009
+0.0605874
+0.0606531
+0.0607977
+0.0610206
+0.0613211
+0.0616979
+0.0621497
+0.0626624
+0.0632445
+0.0638965
+0.0646162
+0.0654014
+0.0662497
+0.0671488
+0.0681028
+0.0691131
+0.0701772
+0.0712928
+0.0724574
+0.0736688
+0.0749247
+0.0762228
+0.0775562
+0.0789255
+0.0803306
+0.0817677
+0.0832365
+0.0847364
+0.0940093
+0.0921649
+0.090336
+0.0885235
+0.0867284
+0.084952
+0.0831953
+0.0814596
+0.0797463
+0.0780569
+0.0763899
+0.0747495
+0.0731379
+0.0715571
+0.0700092
+0.0684964
+0.067021
+0.0655856
+0.0641929
+0.0628449
+0.0615357
+0.0602775
+0.0590738
+0.0579279
+0.0568434
+0.0558238
+0.0548728
+0.053994
+0.0531909
+0.052467
+0.0518257
+0.0512701
+0.0508029
+0.0504267
+0.0501434
+0.0499502
+0.0498384
+0.0498229
+0.0499035
+0.05008
+0.0503513
+0.0507158
+0.0511716
+0.0517162
+0.0523469
+0.0530607
+0.0538541
+0.0547238
+0.0556662
+0.0566776
+0.0577453
+0.0588704
+0.0600543
+0.0612937
+0.0625853
+0.0639258
+0.0653124
+0.066742
+0.0682121
+0.06972
+0.0712633
+0.0728383
+0.0744444
+0.0760796
+0.0777422
+0.0794304
+0.0811427
+0.0828774
+0.0846334
+0.0864091
+0.0882036
+0.0900155
+0.091844
+0.0936881
+0.0955467
+0.0974192
+0.0991778
+0.100793
+0.102429
+0.104086
+0.105762
+0.107452
+0.109104
+0.110775
+0.11232
+0.1129
+0.11338
+0.1139
+0.114459
+0.115058
+0.115695
+0.11637
+0.117082
+0.11783
+0.118609
+0.119382
+0.120184
+0.121021
+0.121892
+0.122779
+0.0931138
+0.0912513
+0.0894037
+0.0875719
+0.085757
+0.0839599
+0.082182
+0.0804245
+0.0786887
+0.076976
+0.0752882
+0.0736269
+0.0719937
+0.0703881
+0.0688139
+0.0672742
+0.0657714
+0.0643082
+0.0628872
+0.0615106
+0.0601724
+0.0588851
+0.0576523
+0.0564775
+0.0553646
+0.0543173
+0.0533394
+0.0524349
+0.0516075
+0.0508611
+0.0501993
+0.0496255
+0.0491427
+0.0487536
+0.0484606
+0.0482653
+0.0481642
+0.0481481
+0.0482316
+0.0484142
+0.0486947
+0.0490715
+0.0495425
+0.0501048
+0.0507556
+0.0514914
+0.0523086
+0.0532036
+0.0541724
+0.0552112
+0.0563067
+0.05746
+0.0586724
+0.0599404
+0.0612604
+0.0626294
+0.064044
+0.0655013
+0.0669986
+0.0685332
+0.0701027
+0.0717032
+0.0733341
+0.0749936
+0.0766797
+0.0783908
+0.0801253
+0.0818816
+0.0836584
+0.0854544
+0.0872685
+0.0890995
+0.0909464
+0.0928083
+0.0946842
+0.0965006
+0.0981109
+0.0997433
+0.101397
+0.10307
+0.104759
+0.106407
+0.107867
+0.109295
+0.110748
+0.111745
+0.11223
+0.112756
+0.113321
+0.113926
+0.114569
+0.11525
+0.115969
+0.116725
+0.117516
+0.118343
+0.119204
+0.120014
+0.120789
+0.121599
+0.0922604
+0.0903803
+0.0885146
+0.086664
+0.0848296
+0.0830125
+0.0812139
+0.0794349
+0.077677
+0.0759416
+0.0742302
+0.0725447
+0.0708868
+0.0692585
+0.0676619
+0.0660994
+0.0645712
+0.0630809
+0.0616317
+0.0602264
+0.058859
+0.0575423
+0.0562801
+0.0550761
+0.0539343
+0.0528586
+0.0518532
+0.0509223
+0.05007
+0.0493003
+0.0486173
+0.0480245
+0.0475255
+0.0471231
+0.0468198
+0.0466176
+0.0465178
+0.0465163
+0.0466027
+0.0467916
+0.0470818
+0.0474715
+0.0479581
+0.0485388
+0.0492103
+0.0499688
+0.0508106
+0.0517315
+0.0527274
+0.0537941
+0.0549178
+0.0560996
+0.0573408
+0.0586376
+0.0599864
+0.0613837
+0.0628264
+0.0643113
+0.0658357
+0.0673968
+0.0689921
+0.0706178
+0.0722732
+0.0739565
+0.0756657
+0.0773992
+0.0791554
+0.0809328
+0.08273
+0.0845458
+0.0863789
+0.0882284
+0.0900932
+0.0919723
+0.0938484
+0.095454
+0.0970817
+0.0987311
+0.100401
+0.102087
+0.103455
+0.104851
+0.106274
+0.107723
+0.109196
+0.110621
+0.111112
+0.111643
+0.112214
+0.112824
+0.113474
+0.114162
+0.114887
+0.11565
+0.116449
+0.11726
+0.118062
+0.118831
+0.119606
+0.120416
+0.0914516
+0.0895545
+0.0876712
+0.0858024
+0.0839492
+0.0821126
+0.0802938
+0.078494
+0.0767145
+0.0749568
+0.0732225
+0.0715132
+0.0698308
+0.0681773
+0.0665548
+0.0649657
+0.0634102
+0.0618923
+0.0604158
+0.0589837
+0.057599
+0.0562528
+0.054961
+0.0537275
+0.0525564
+0.0514519
+0.0504185
+0.0494605
+0.0485826
+0.047789
+0.047084
+0.0464717
+0.0459558
+0.0455395
+0.0452256
+0.0450163
+0.044913
+0.0449164
+0.0450215
+0.045217
+0.0455173
+0.0459202
+0.0464231
+0.0470227
+0.0477155
+0.0484975
+0.0493643
+0.0503117
+0.0513351
+0.0524302
+0.0535826
+0.0547932
+0.0560633
+0.057389
+0.0587664
+0.0601921
+0.0616626
+0.0631749
+0.064726
+0.0663132
+0.067934
+0.0695844
+0.0712639
+0.0729704
+0.0747022
+0.0764576
+0.0782349
+0.0800328
+0.0818497
+0.0836846
+0.0855362
+0.0874035
+0.0892855
+0.0911813
+0.0928237
+0.0944467
+0.0960915
+0.0977576
+0.0990888
+0.10045
+0.10184
+0.103258
+0.104703
+0.106173
+0.107668
+0.109186
+0.110019
+0.110562
+0.111139
+0.111755
+0.112411
+0.113105
+0.113838
+0.114582
+0.1153
+0.116054
+0.116845
+0.117646
+0.118428
+0.119246
+0.0906885
+0.0887751
+0.0868748
+0.0849886
+0.0831172
+0.0812619
+0.0794236
+0.0776036
+0.0758032
+0.0740239
+0.0722671
+0.0705347
+0.0688284
+0.0671502
+0.0655023
+0.063887
+0.0623045
+0.0607591
+0.0592543
+0.0577935
+0.0563799
+0.0550173
+0.0536989
+0.0524357
+0.0512351
+0.0501015
+0.0490396
+0.0480542
+0.0471501
+0.0463319
+0.0456045
+0.044972
+0.0444387
+0.0440081
+0.0436832
+0.0434664
+0.0433594
+0.0433629
+0.043477
+0.0436955
+0.0440062
+0.0444228
+0.0449424
+0.0455616
+0.0462763
+0.0470821
+0.0479746
+0.0489488
+0.0500002
+0.0511238
+0.052305
+0.0535445
+0.0548435
+0.056198
+0.0576039
+0.0590576
+0.0605557
+0.062095
+0.0636724
+0.0652853
+0.0669309
+0.0686055
+0.0703083
+0.0720375
+0.0737912
+0.0755678
+0.0773655
+0.0791831
+0.0810191
+0.0828724
+0.0847417
+0.0866261
+0.0885247
+0.090223
+0.0918398
+0.0934752
+0.0947652
+0.0960879
+0.0974418
+0.0988258
+0.100238
+0.101679
+0.103146
+0.104638
+0.106154
+0.107693
+0.108952
+0.109502
+0.110092
+0.110719
+0.111381
+0.112031
+0.11268
+0.113367
+0.114093
+0.114855
+0.115654
+0.116439
+0.117192
+0.117971
+0.0899722
+0.0880433
+0.0861269
+0.0842239
+0.0823352
+0.0804618
+0.0786048
+0.0767653
+0.0749448
+0.0731446
+0.0713663
+0.0696114
+0.0678819
+0.0661797
+0.064507
+0.0628661
+0.0612573
+0.0596847
+0.0581522
+0.0566629
+0.0552204
+0.0538285
+0.052491
+0.0512046
+0.0499744
+0.0488115
+0.0477209
+0.0467077
+0.045777
+0.0449339
+0.0441834
+0.0435303
+0.0429791
+0.0425337
+0.0421974
+0.041973
+0.0418621
+0.0418658
+0.0419839
+0.0422155
+0.0425474
+0.0429782
+0.0435151
+0.0441543
+0.0448914
+0.0457216
+0.0466401
+0.0476417
+0.0487212
+0.0498737
+0.0510894
+0.0523577
+0.0536855
+0.0550684
+0.0565025
+0.0579838
+0.059509
+0.0610746
+0.0626777
+0.0643155
+0.0659854
+0.0676833
+0.0694088
+0.0711598
+0.0729346
+0.0747316
+0.076549
+0.0783855
+0.0802397
+0.0821106
+0.0839969
+0.0858977
+0.0876547
+0.0892508
+0.0904949
+0.0917745
+0.0930881
+0.0944343
+0.0958116
+0.0972187
+0.0986545
+0.100118
+0.101607
+0.103121
+0.104659
+0.106221
+0.107804
+0.108474
+0.10907
+0.109629
+0.110205
+0.110821
+0.111477
+0.112172
+0.112904
+0.113675
+0.114444
+0.115158
+0.11591
+0.116698
+0.0893029
+0.0873603
+0.0854286
+0.0835097
+0.0816044
+0.0797138
+0.077839
+0.075981
+0.0741413
+0.0723211
+0.0705219
+0.0687455
+0.0669937
+0.0652683
+0.0635716
+0.061906
+0.0602715
+0.0586726
+0.0571129
+0.0555958
+0.0541248
+0.0527039
+0.0513372
+0.0500291
+0.0487773
+0.0475852
+0.0464659
+0.0454247
+0.0444671
+0.0435987
+0.0428248
+0.0421507
+0.0415812
+0.0411206
+0.0407727
+0.0405404
+0.0404256
+0.0404294
+0.0405517
+0.0407914
+0.0411381
+0.0415834
+0.0421381
+0.0427979
+0.0435579
+0.0444131
+0.0453581
+0.0463874
+0.0474954
+0.0486769
+0.0499266
+0.0512319
+0.0525912
+0.0540041
+0.0554657
+0.056974
+0.0585255
+0.0601168
+0.0617447
+0.0634066
+0.0650998
+0.0668203
+0.0685674
+0.0703394
+0.0721345
+0.0739508
+0.0757869
+0.0776415
+0.0795131
+0.0814006
+0.083303
+0.0850986
+0.0862914
+0.0875228
+0.0887912
+0.090095
+0.0914328
+0.0928029
+0.0942041
+0.0956349
+0.097094
+0.0985803
+0.100092
+0.101629
+0.10319
+0.104773
+0.106377
+0.107375
+0.107878
+0.108419
+0.109001
+0.109624
+0.110287
+0.110989
+0.11173
+0.112488
+0.113173
+0.113895
+0.114655
+0.115451
+0.0886733
+0.0867221
+0.0847811
+0.0828472
+0.0809264
+0.0790196
+0.0771279
+0.0752524
+0.0733943
+0.0715551
+0.0697362
+0.0679393
+0.0661661
+0.0644186
+0.0626989
+0.0610094
+0.0593503
+0.0577258
+0.0561398
+0.0545957
+0.0530971
+0.0516479
+0.0502524
+0.0489153
+0.0476415
+0.04643
+0.0452821
+0.044213
+0.0432286
+0.0423348
+0.0415374
+0.040842
+0.040254
+0.0397781
+0.0394183
+0.039178
+0.0390592
+0.0390631
+0.0391897
+0.0394377
+0.0397995
+0.0402596
+0.0408323
+0.0415128
+0.042296
+0.0431762
+0.0441477
+0.0452045
+0.0463408
+0.047551
+0.0488296
+0.0501634
+0.0515509
+0.0529927
+0.0544844
+0.0560221
+0.057602
+0.0592209
+0.0608755
+0.0625603
+0.064274
+0.0660158
+0.0677837
+0.0695757
+0.0713899
+0.0732247
+0.0750786
+0.0769502
+0.0788383
+0.0807416
+0.082165
+0.0833422
+0.0845598
+0.085816
+0.0871093
+0.0884379
+0.0898003
+0.091195
+0.0926205
+0.0940754
+0.0955584
+0.0970682
+0.0986035
+0.100163
+0.101746
+0.103344
+0.104949
+0.106181
+0.10669
+0.107237
+0.107825
+0.108455
+0.109125
+0.109834
+0.110583
+0.111238
+0.11193
+0.112661
+0.113429
+0.114234
+0.0880937
+0.0861293
+0.0841761
+0.0822348
+0.0803024
+0.0783804
+0.0764729
+0.0745809
+0.0727058
+0.0708487
+0.0690112
+0.0671948
+0.0654014
+0.0636329
+0.0618914
+0.0601793
+0.0584966
+0.0568478
+0.0552366
+0.0536665
+0.0521411
+0.0506646
+0.0492413
+0.047876
+0.0465737
+0.0453399
+0.0441753
+0.0430788
+0.0420678
+0.0411488
+0.0403279
+0.0396113
+0.0390048
+0.0385134
+0.0381418
+0.0378933
+0.0377705
+0.0377745
+0.0379054
+0.0381618
+0.038539
+0.039014
+0.0396047
+0.040306
+0.0411121
+0.0420171
+0.0430148
+0.0440988
+0.0452629
+0.0465011
+0.0478078
+0.0491693
+0.0505841
+0.0520526
+0.0535705
+0.0551337
+0.0567384
+0.0583812
+0.060059
+0.0617689
+0.0635084
+0.0652739
+0.0670613
+0.0688721
+0.0707044
+0.0725565
+0.0744271
+0.0763147
+0.0781188
+0.0792438
+0.0804041
+0.0816068
+0.0828499
+0.0841317
+0.0854504
+0.0868044
+0.0881921
+0.0896118
+0.0910621
+0.0925415
+0.0940486
+0.0955823
+0.0971411
+0.0987239
+0.100308
+0.101913
+0.10354
+0.105019
+0.105533
+0.106086
+0.106681
+0.107317
+0.107994
+0.108711
+0.109351
+0.110011
+0.110711
+0.11145
+0.112226
+0.11304
+0.087565
+0.0855885
+0.0836226
+0.0816682
+0.0797261
+0.0777972
+0.0758756
+0.0739683
+0.0720772
+0.0702035
+0.0683486
+0.0665142
+0.064702
+0.0629138
+0.0611518
+0.0594184
+0.0577135
+0.0560416
+0.0544066
+0.0528118
+0.051261
+0.0497584
+0.0483084
+0.0469159
+0.0455862
+0.044325
+0.0431382
+0.0420282
+0.0409913
+0.0400476
+0.0392037
+0.0384661
+0.0378412
+0.0373346
+0.0369511
+0.0366945
+0.0365677
+0.0365719
+0.036707
+0.0369717
+0.0373632
+0.0378543
+0.0384628
+0.0391845
+0.0400132
+0.0409426
+0.0419658
+0.0430762
+0.0442672
+0.0455325
+0.0468661
+0.0482543
+0.0496951
+0.0511892
+0.0527319
+0.0543192
+0.0559473
+0.0576127
+0.0593122
+0.0610431
+0.0628026
+0.0645874
+0.0663934
+0.0682218
+0.0700711
+0.0719396
+0.0738258
+0.0752185
+0.0763267
+0.0774786
+0.0786649
+0.0798937
+0.0811631
+0.0824711
+0.083816
+0.085196
+0.0866094
+0.0880546
+0.0895301
+0.0910344
+0.0925661
+0.0941239
+0.0956922
+0.0972753
+0.0988816
+0.10051
+0.102159
+0.103827
+0.104398
+0.104969
+0.10557
+0.106213
+0.106897
+0.10752
+0.108147
+0.108815
+0.109522
+0.110269
+0.111054
+0.111876
+0.0870883
+0.0851007
+0.0831233
+0.0811569
+0.0792022
+0.0772602
+0.0753319
+0.073416
+0.0715103
+0.0696213
+0.0677505
+0.0658994
+0.0640698
+0.0622635
+0.0604826
+0.0587294
+0.0570039
+0.0553106
+0.0536532
+0.0520354
+0.0504607
+0.0489336
+0.0474584
+0.0460402
+0.0446844
+0.043397
+0.0421841
+0.0410523
+0.0400059
+0.0390384
+0.0381721
+0.0374143
+0.0367715
+0.0362499
+0.0358548
+0.0355904
+0.0354596
+0.0354639
+0.0356032
+0.0358761
+0.0362794
+0.036788
+0.0374139
+0.0381554
+0.039006
+0.0399588
+0.0410065
+0.0421422
+0.0433589
+0.04465
+0.0460092
+0.0474229
+0.0488882
+0.0504062
+0.0519722
+0.053582
+0.0552318
+0.0569181
+0.0586378
+0.060388
+0.0621661
+0.0639686
+0.0657916
+0.0676363
+0.0695012
+0.0712989
+0.0723345
+0.073421
+0.074556
+0.0757355
+0.0769488
+0.0782045
+0.0795009
+0.0808358
+0.0822074
+0.083614
+0.0850537
+0.0865249
+0.088026
+0.0895556
+0.0911061
+0.092664
+0.0942471
+0.095854
+0.0974838
+0.0991306
+0.100785
+0.10246
+0.103228
+0.103811
+0.104437
+0.105104
+0.105748
+0.106341
+0.106975
+0.10765
+0.108365
+0.109119
+0.109912
+0.110743
+0.0866643
+0.0846668
+0.082679
+0.0807018
+0.0787358
+0.076782
+0.0748413
+0.0729148
+0.0710036
+0.0691037
+0.0672185
+0.0653524
+0.0635069
+0.0616841
+0.059886
+0.0581148
+0.0563705
+0.0546576
+0.0529798
+0.0513407
+0.0497441
+0.0481942
+0.0466957
+0.0452536
+0.0438736
+0.0425616
+0.0413242
+0.0401682
+0.0391008
+0.0381133
+0.0372255
+0.036448
+0.0357878
+0.0352517
+0.0348453
+0.0345731
+0.0344385
+0.0344429
+0.0345864
+0.0348672
+0.035282
+0.0358092
+0.0364518
+0.0372125
+0.0380842
+0.0390595
+0.0401307
+0.0412905
+0.0425315
+0.043847
+0.0452303
+0.0466755
+0.0481675
+0.0497075
+0.0512948
+0.0529253
+0.0545949
+0.0563003
+0.0580383
+0.059806
+0.0616009
+0.0634195
+0.0652578
+0.0671172
+0.0684602
+0.0694691
+0.0705316
+0.0716455
+0.0728082
+0.0740163
+0.0752572
+0.0765408
+0.0778648
+0.0792273
+0.0806263
+0.0820599
+0.0835264
+0.0850241
+0.0865513
+0.0880838
+0.0896406
+0.0912236
+0.0928312
+0.0944552
+0.0960905
+0.0977475
+0.0994251
+0.101122
+0.102092
+0.102681
+0.103314
+0.103988
+0.104595
+0.105194
+0.105835
+0.106517
+0.10724
+0.108002
+0.108803
+0.109642
+0.0862939
+0.0842876
+0.0822907
+0.0803038
+0.0783279
+0.0763637
+0.0744121
+0.0724742
+0.070551
+0.0686439
+0.0667541
+0.0648747
+0.0630153
+0.0611778
+0.0593643
+0.0575771
+0.055816
+0.0540855
+0.0523894
+0.0507313
+0.0491149
+0.0475445
+0.0460248
+0.044561
+0.0431588
+0.0418244
+0.0405645
+0.0393862
+0.0382971
+0.0372882
+0.0363804
+0.0355844
+0.0349079
+0.034358
+0.0339409
+0.0336614
+0.0335231
+0.0335277
+0.033675
+0.0339634
+0.0343891
+0.0349403
+0.0355986
+0.0363772
+0.0372684
+0.0382644
+0.0393573
+0.0405392
+0.0418026
+0.0431403
+0.0445456
+0.0460123
+0.0475346
+0.0490967
+0.0507031
+0.052352
+0.0540394
+0.0557618
+0.057516
+0.0592993
+0.0611091
+0.0629419
+0.0647051
+0.0656449
+0.0666244
+0.0676608
+0.0687513
+0.0698935
+0.0710848
+0.0723225
+0.0735921
+0.0749041
+0.0762566
+0.0776473
+0.0790743
+0.0805355
+0.0820293
+0.0835396
+0.0850669
+0.0866226
+0.0882052
+0.0898035
+0.091417
+0.0930541
+0.0947136
+0.0963943
+0.0980951
+0.099815
+0.100944
+0.101542
+0.102183
+0.102866
+0.103475
+0.104081
+0.104728
+0.105418
+0.106148
+0.106918
+0.107727
+0.108568
+0.0859777
+0.0839639
+0.081959
+0.079964
+0.0779794
+0.0760062
+0.0740452
+0.0720974
+0.070164
+0.068246
+0.066345
+0.0644624
+0.0625964
+0.0607463
+0.0589195
+0.0571184
+0.0553427
+0.0535969
+0.0518849
+0.0502101
+0.0485763
+0.0469879
+0.0454496
+0.0439667
+0.0425449
+0.0411907
+0.0399107
+0.0387126
+0.0376039
+0.036576
+0.03565
+0.0348373
+0.034146
+0.0335837
+0.0331568
+0.0328707
+0.032729
+0.0327337
+0.0328846
+0.0331798
+0.0336155
+0.0341862
+0.0348624
+0.035657
+0.0365658
+0.0375805
+0.0386927
+0.0398943
+0.0411775
+0.0425348
+0.0439595
+0.0454451
+0.0469854
+0.0485737
+0.0502001
+0.051865
+0.0535677
+0.0553048
+0.0570731
+0.0588698
+0.0606924
+0.0619486
+0.0628563
+0.0638034
+0.0648108
+0.0658756
+0.0669952
+0.0681668
+0.0693879
+0.0706557
+0.071955
+0.0732964
+0.074678
+0.0760976
+0.0775531
+0.0790379
+0.0805313
+0.082056
+0.0836103
+0.0851796
+0.0867684
+0.088383
+0.090022
+0.091684
+0.0933678
+0.0950723
+0.0967964
+0.098539
+0.0998208
+0.100436
+0.101084
+0.101775
+0.10239
+0.103002
+0.103656
+0.104353
+0.10509
+0.105868
+0.106679
+0.107526
+0.0857164
+0.0836962
+0.0816848
+0.0796829
+0.0776912
+0.0757104
+0.0737416
+0.0717855
+0.0698435
+0.0679165
+0.066006
+0.0641134
+0.0622404
+0.0603888
+0.0585534
+0.0567406
+0.0549528
+0.0531942
+0.0514687
+0.0497799
+0.0481316
+0.046528
+0.044974
+0.0434748
+0.0420364
+0.0406652
+0.0393682
+0.038153
+0.0370276
+0.0359832
+0.0350415
+0.0342144
+0.0335103
+0.0329371
+0.0325017
+0.0322098
+0.0320652
+0.0320699
+0.032224
+0.0325252
+0.0329695
+0.0335512
+0.0342507
+0.0350592
+0.0359831
+0.0370137
+0.0381425
+0.0393609
+0.0406609
+0.0420341
+0.0434724
+0.0449714
+0.0465254
+0.0481289
+0.0497772
+0.0514659
+0.0531822
+0.0549315
+0.0567114
+0.0583132
+0.0591835
+0.060098
+0.0610093
+0.0619847
+0.0630211
+0.0641157
+0.0652655
+0.0664676
+0.0677193
+0.0690177
+0.0703482
+0.0717196
+0.073131
+0.07458
+0.0760408
+0.07753
+0.0790519
+0.0805881
+0.0821489
+0.083738
+0.0853537
+0.0869945
+0.0886592
+0.0903462
+0.0920545
+0.0937829
+0.0955302
+0.0972955
+0.0986215
+0.0992689
+0.0999602
+0.100694
+0.10134
+0.101959
+0.10262
+0.103323
+0.104068
+0.104847
+0.105664
+0.106367
+0.0855104
+0.0834853
+0.0814687
+0.0794613
+0.0774638
+0.0754771
+0.073502
+0.0715394
+0.0695905
+0.0676563
+0.0657383
+0.0638378
+0.0619564
+0.060096
+0.0582586
+0.0564363
+0.0546406
+0.0528748
+0.0511419
+0.0494431
+0.0477832
+0.0461675
+0.0446009
+0.0430888
+0.0416371
+0.0402522
+0.0389415
+0.0377125
+0.0365736
+0.0355158
+0.0345614
+0.0337225
+0.0330079
+0.0324258
+0.0319835
+0.0316868
+0.0315398
+0.0315447
+0.0317013
+0.0320074
+0.0324588
+0.0330495
+0.0337601
+0.0345801
+0.0355164
+0.0365602
+0.0377026
+0.0389347
+0.0402485
+0.0416347
+0.0430864
+0.0445984
+0.0461649
+0.0477805
+0.0494404
+0.0511403
+0.0528763
+0.0546435
+0.0556096
+0.0564366
+0.0573353
+0.0582459
+0.0591858
+0.0601907
+0.0612575
+0.062383
+0.0635642
+0.0647978
+0.0660811
+0.0674112
+0.0687735
+0.0701758
+0.0716038
+0.0730521
+0.0745366
+0.0760349
+0.0775636
+0.0791235
+0.0807126
+0.0823294
+0.0839722
+0.0856396
+0.08733
+0.0890423
+0.0907751
+0.0925274
+0.094298
+0.0960859
+0.0974566
+0.0981117
+0.0988111
+0.0995538
+0.100328
+0.100952
+0.10162
+0.10233
+0.103076
+0.103827
+0.104471
+0.105157
+0.0853602
+0.0833313
+0.0813109
+0.0792996
+0.077298
+0.0753069
+0.0733272
+0.0713598
+0.0694058
+0.0674663
+0.0655427
+0.0636364
+0.0617489
+0.059882
+0.0580379
+0.0562083
+0.0544052
+0.0526315
+0.0508902
+0.0491849
+0.0475194
+0.0458981
+0.0443258
+0.0428078
+0.0413501
+0.0399553
+0.0386345
+0.0373954
+0.0362466
+0.035179
+0.0342151
+0.0333675
+0.0326452
+0.0320565
+0.031609
+0.0313088
+0.03116
+0.0311649
+0.0313234
+0.0316332
+0.0320898
+0.0326872
+0.0334055
+0.034234
+0.0351796
+0.0362331
+0.0373854
+0.0386277
+0.0399515
+0.0413477
+0.0428091
+0.0443306
+0.0459062
+0.0475306
+0.0491989
+0.0509069
+0.0522278
+0.0529439
+0.0537279
+0.0545641
+0.0554661
+0.0564181
+0.0573879
+0.0584238
+0.0595223
+0.06068
+0.0618936
+0.0631599
+0.0644758
+0.0658383
+0.0672309
+0.0686316
+0.0700725
+0.0715274
+0.073019
+0.0745452
+0.0761039
+0.077693
+0.0793108
+0.0809556
+0.0826258
+0.0843197
+0.0860361
+0.0877736
+0.089531
+0.0913072
+0.093101
+0.0949114
+0.0963275
+0.0969903
+0.0976977
+0.0984488
+0.099238
+0.0999837
+0.100658
+0.101369
+0.102015
+0.102624
+0.103275
+0.103969
+0.0852659
+0.0832348
+0.081212
+0.0791981
+0.0771939
+0.0752001
+0.0732175
+0.0712471
+0.0692899
+0.0673471
+0.06542
+0.0635099
+0.0616186
+0.0597477
+0.0578992
+0.0560652
+0.0542573
+0.0524785
+0.050732
+0.0490212
+0.04735
+0.0457227
+0.0441441
+0.0426196
+0.0411554
+0.039758
+0.0384347
+0.0371935
+0.0360428
+0.0349763
+0.0340067
+0.0331538
+0.0324267
+0.031834
+0.0313833
+0.0310809
+0.030931
+0.030936
+0.0310956
+0.0314076
+0.0318675
+0.032469
+0.033192
+0.0340257
+0.0349769
+0.0360363
+0.0371947
+0.0384432
+0.0397732
+0.0411754
+0.0426427
+0.0441699
+0.0457511
+0.0473808
+0.0490542
+0.0496604
+0.0502993
+0.0510242
+0.0518245
+0.0526832
+0.0536156
+0.0546149
+0.0556182
+0.0566864
+0.0578179
+0.0590091
+0.0602473
+0.061534
+0.0628707
+0.0642542
+0.0656673
+0.0670747
+0.0685232
+0.0700103
+0.0715336
+0.0730908
+0.0746798
+0.0762987
+0.0779454
+0.0796184
+0.081316
+0.0830367
+0.0847791
+0.0865419
+0.0883238
+0.0901237
+0.0919406
+0.0937735
+0.0952005
+0.095871
+0.0965866
+0.0973462
+0.0981218
+0.0989385
+0.0997284
+0.100265
+0.100837
+0.101453
+0.102113
+0.102814
+0.0852225
+0.0831906
+0.0811669
+0.0791522
+0.077147
+0.0751522
+0.0731685
+0.071197
+0.0692387
+0.0672948
+0.0653664
+0.0634551
+0.0615623
+0.05969
+0.05784
+0.0560074
+0.0541975
+0.0524168
+0.0506682
+0.0489551
+0.0472815
+0.0456518
+0.0440706
+0.0425436
+0.0410766
+0.0396765
+0.0383504
+0.0371063
+0.0359528
+0.0348989
+0.0339388
+0.0330841
+0.0323554
+0.0317613
+0.0313096
+0.0310065
+0.0308562
+0.0308612
+0.0310212
+0.031334
+0.031795
+0.0323978
+0.0331224
+0.0339577
+0.0349108
+0.0359722
+0.0371326
+0.0383831
+0.0397151
+0.0411193
+0.0425885
+0.0441176
+0.0457006
+0.0466468
+0.0471282
+0.0477004
+0.0483651
+0.0491169
+0.0499365
+0.0508226
+0.0517829
+0.0527917
+0.0538282
+0.0549306
+0.056097
+0.0573142
+0.0585834
+0.0599058
+0.061278
+0.0626886
+0.0640865
+0.0655278
+0.0670098
+0.0685297
+0.0700852
+0.0716739
+0.0732936
+0.0749424
+0.0766184
+0.0783197
+0.0800448
+0.0817923
+0.0835606
+0.0853485
+0.0871549
+0.0889784
+0.0908182
+0.0926612
+0.094024
+0.0947029
+0.0954272
+0.096196
+0.0970082
+0.0978626
+0.0985823
+0.0991155
+0.099694
+0.100317
+0.100984
+0.101693
+0.08523
+0.0831982
+0.0811747
+0.0791602
+0.0771552
+0.0751606
+0.0731772
+0.0712059
+0.0692479
+0.0673042
+0.0653761
+0.063465
+0.0615726
+0.0597006
+0.057851
+0.056026
+0.0542263
+0.0524465
+0.0506989
+0.048987
+0.0473145
+0.0456859
+0.044106
+0.0425802
+0.0411146
+0.0397158
+0.038391
+0.0371484
+0.0359962
+0.0349435
+0.0339996
+0.0331529
+0.0324258
+0.031833
+0.0313824
+0.0310799
+0.0309301
+0.030935
+0.0310947
+0.0314067
+0.0318666
+0.0324681
+0.0331974
+0.034031
+0.034982
+0.0360413
+0.0371996
+0.0384479
+0.0397777
+0.0411798
+0.0426469
+0.0439591
+0.0442731
+0.0446674
+0.0451645
+0.0457613
+0.0464537
+0.0472223
+0.0480668
+0.0489832
+0.0499702
+0.0509848
+0.0520553
+0.0531945
+0.0543981
+0.0556489
+0.0569552
+0.0583145
+0.0597163
+0.0611092
+0.0625424
+0.0640185
+0.0655346
+0.067088
+0.0686762
+0.0702967
+0.0719475
+0.0736264
+0.0753316
+0.0770614
+0.0788141
+0.0805882
+0.0823824
+0.0841953
+0.0860259
+0.0878479
+0.0896858
+0.0915392
+0.0928828
+0.0935699
+0.0943029
+0.0950807
+0.0959023
+0.0967665
+0.0974594
+0.0980011
+0.0985862
+0.0992162
+0.0998903
+0.100603
+0.0852937
+0.0832635
+0.0812416
+0.0792288
+0.0772256
+0.0752328
+0.0732514
+0.0712822
+0.0693263
+0.0673849
+0.0654591
+0.0635506
+0.0616608
+0.0597916
+0.0579448
+0.0561229
+0.0543281
+0.0525634
+0.0508242
+0.0491166
+0.0474488
+0.0458249
+0.04425
+0.0427293
+0.041269
+0.0398756
+0.0385563
+0.0373192
+0.0361724
+0.0351251
+0.0341862
+0.0333442
+0.0326213
+0.0320322
+0.0315844
+0.0312839
+0.031135
+0.0311399
+0.0312985
+0.0316085
+0.0320656
+0.0326634
+0.0333945
+0.0342435
+0.0351888
+0.036242
+0.0373941
+0.0386361
+0.0399596
+0.0413563
+0.041769
+0.0419806
+0.0422903
+0.0427029
+0.0432226
+0.0438458
+0.044558
+0.045354
+0.0462215
+0.0471738
+0.0481585
+0.0492053
+0.0503137
+0.0514915
+0.0527323
+0.0540211
+0.0553658
+0.0567518
+0.0581446
+0.0595685
+0.0610379
+0.0625496
+0.0641004
+0.0656877
+0.0673089
+0.0689616
+0.0706436
+0.0723527
+0.0740873
+0.0758454
+0.0776256
+0.0794263
+0.0812338
+0.0830447
+0.0848735
+0.0867191
+0.0885804
+0.0904565
+0.0917656
+0.092461
+0.0932027
+0.0939896
+0.0948206
+0.0956945
+0.0963564
+0.0969043
+0.0974983
+0.098133
+0.0988074
+0.0995255
+0.0854111
+0.0833863
+0.0813675
+0.0793578
+0.077358
+0.0753687
+0.0733909
+0.0714256
+0.0694737
+0.0675365
+0.0656153
+0.0637114
+0.0618265
+0.0599624
+0.0581211
+0.0563049
+0.0545161
+0.0527577
+0.0510328
+0.0493433
+0.0476834
+0.0460678
+0.0445014
+0.0429897
+0.0415385
+0.0401544
+0.0388447
+0.037617
+0.0364796
+0.0354413
+0.034511
+0.0336772
+0.0329616
+0.0323787
+0.0319357
+0.0316386
+0.0314914
+0.0314962
+0.031653
+0.0319596
+0.0324117
+0.0330033
+0.033727
+0.034573
+0.0355096
+0.0365536
+0.0376961
+0.0389284
+0.0396396
+0.039687
+0.0397892
+0.0400109
+0.0403291
+0.0407615
+0.0413057
+0.0419534
+0.0426859
+0.0435052
+0.0444077
+0.0453662
+0.0463795
+0.047458
+0.0486063
+0.0498244
+0.0511057
+0.0524342
+0.0538025
+0.0551946
+0.056608
+0.0580697
+0.059576
+0.0611238
+0.06271
+0.0643316
+0.0659861
+0.0676711
+0.0693843
+0.0711238
+0.0728876
+0.074674
+0.0764544
+0.0782532
+0.0800716
+0.0819082
+0.0837618
+0.0856314
+0.0875158
+0.0894143
+0.0906874
+0.091391
+0.0921414
+0.0929373
+0.0937776
+0.0946612
+0.0952911
+0.095845
+0.0964409
+0.0970776
+0.0977593
+0.098485
+0.0855761
+0.0835565
+0.0815457
+0.0795445
+0.077552
+0.0755679
+0.0735955
+0.0716357
+0.0696898
+0.0677587
+0.0658439
+0.0639469
+0.0620692
+0.0602126
+0.0583792
+0.0565712
+0.0547912
+0.0530419
+0.0513265
+0.0496485
+0.0480118
+0.0464129
+0.0448586
+0.0433593
+0.0419209
+0.0405499
+0.0392533
+0.0380388
+0.0369145
+0.0358888
+0.0349704
+0.0341477
+0.0334422
+0.0328678
+0.0324316
+0.032139
+0.0319941
+0.0319989
+0.0321532
+0.0324551
+0.0329003
+0.0334833
+0.0341969
+0.0350332
+0.0359611
+0.0369923
+0.0379339
+0.037759
+0.0377107
+0.0377229
+0.0378304
+0.0380596
+0.0383927
+0.0388466
+0.0394173
+0.0400794
+0.0408432
+0.0416883
+0.0426162
+0.0435834
+0.0446347
+0.0457489
+0.046939
+0.0481993
+0.0495225
+0.0508708
+0.0522617
+0.053663
+0.0551157
+0.0566159
+0.0581599
+0.0597444
+0.0613662
+0.0630224
+0.0647104
+0.0664278
+0.0681723
+0.0699293
+0.0716911
+0.0734759
+0.0752822
+0.0771084
+0.0789531
+0.0808152
+0.0826933
+0.0845865
+0.0864937
+0.0883442
+0.0896499
+0.0903616
+0.0911204
+0.0919251
+0.0927747
+0.0935787
+0.0942646
+0.0948198
+0.0954171
+0.0960606
+0.0967494
+0.0974644
+0.0857967
+0.0837824
+0.0817772
+0.0797818
+0.0777968
+0.0758232
+0.0738619
+0.071912
+0.0699737
+0.0680507
+0.0661444
+0.0642562
+0.0623878
+0.060541
+0.0587179
+0.0569207
+0.0551519
+0.0534144
+0.0517114
+0.0500463
+0.0484231
+0.0468461
+0.045319
+0.0438354
+0.0424132
+0.0410586
+0.0397786
+0.0385806
+0.0374726
+0.0364625
+0.035559
+0.0347503
+0.0340573
+0.0334934
+0.0330654
+0.0327785
+0.0326364
+0.0326411
+0.0327924
+0.0330885
+0.0335253
+0.0340976
+0.0347986
+0.0356207
+0.0365371
+0.0363354
+0.0360453
+0.0358628
+0.0358037
+0.0357831
+0.0358964
+0.0361343
+0.036485
+0.0369624
+0.0375476
+0.038239
+0.0390255
+0.0398938
+0.0408077
+0.0418165
+0.0429135
+0.0440824
+0.0453163
+0.0466205
+0.0479573
+0.0493286
+0.0507362
+0.0521784
+0.0536713
+0.0552108
+0.056793
+0.0584146
+0.0600723
+0.0617632
+0.0634847
+0.0652045
+0.0669473
+0.0687156
+0.0705077
+0.0723218
+0.0741562
+0.0760095
+0.0778802
+0.0797673
+0.0816696
+0.083526
+0.085374
+0.0872379
+0.0885702
+0.0892993
+0.0900567
+0.0908606
+0.0916978
+0.0924647
+0.0931634
+0.0937901
+0.0943964
+0.0950211
+0.0956883
+0.0964007
+0.0860725
+0.0840648
+0.0820665
+0.0800783
+0.0781009
+0.0761352
+0.0741821
+0.0722426
+0.0703179
+0.0684091
+0.0665158
+0.0646384
+0.0627814
+0.0609465
+0.0591359
+0.0573517
+0.0555967
+0.0538735
+0.0521855
+0.050536
+0.0489291
+0.0473689
+0.0458603
+0.0443964
+0.0429933
+0.0416582
+0.0403978
+0.0392194
+0.0381305
+0.037139
+0.036253
+0.0354781
+0.0347995
+0.0342479
+0.0338294
+0.0335491
+0.0334103
+0.0334149
+0.0335627
+0.033852
+0.0342791
+0.034839
+0.0355254
+0.0354058
+0.034887
+0.034489
+0.0341813
+0.0339597
+0.0338582
+0.0338738
+0.0339935
+0.034241
+0.0346108
+0.0351067
+0.0357111
+0.0364315
+0.037217
+0.0380741
+0.0390306
+0.0400842
+0.0412273
+0.0424513
+0.0437364
+0.0450626
+0.0464161
+0.0478164
+0.0492608
+0.050745
+0.0522788
+0.0538581
+0.0554784
+0.0571262
+0.0588095
+0.0605074
+0.0622275
+0.0639763
+0.0657516
+0.0675512
+0.0693734
+0.0712164
+0.0730785
+0.0749584
+0.0768548
+0.0787178
+0.0805569
+0.0824132
+0.0842856
+0.086173
+0.0874244
+0.0881435
+0.0889107
+0.0897249
+0.0905847
+0.0913896
+0.0920965
+0.0927075
+0.0933118
+0.0939456
+0.0946204
+0.0953408
+0.0864029
+0.0844031
+0.082413
+0.0804334
+0.0784649
+0.0765086
+0.0745653
+0.072636
+0.070722
+0.0688245
+0.0669449
+0.0650847
+0.0632458
+0.0614275
+0.0596314
+0.0578626
+0.0561235
+0.0544171
+0.0527464
+0.051115
+0.0495269
+0.0479862
+0.0464976
+0.0450544
+0.0436724
+0.0423587
+0.0411198
+0.0399627
+0.0388946
+0.0379231
+0.0370559
+0.0363002
+0.0356612
+0.0351231
+0.0347152
+0.034442
+0.0343068
+0.0343113
+0.0344553
+0.0347371
+0.0351535
+0.0350508
+0.0342828
+0.0336042
+0.033057
+0.0326028
+0.0322623
+0.0320274
+0.0319217
+0.0319568
+0.0321273
+0.0323852
+0.032776
+0.0332798
+0.0339167
+0.0346012
+0.0354006
+0.0362954
+0.0372976
+0.0383987
+0.039582
+0.0408399
+0.0421741
+0.0435039
+0.0448851
+0.0463286
+0.047829
+0.0493439
+0.0509076
+0.052516
+0.0541654
+0.0558449
+0.0575375
+0.0592628
+0.0610179
+0.0628004
+0.064608
+0.0664387
+0.0682906
+0.070162
+0.0720514
+0.0739214
+0.0757503
+0.0775979
+0.0794629
+0.0813442
+0.0832406
+0.0851512
+0.086299
+0.0870274
+0.0878044
+0.0886287
+0.0894991
+0.0903549
+0.0910634
+0.0916328
+0.0922507
+0.0929094
+0.0935917
+0.0943199
+0.0867816
+0.0847967
+0.0828161
+0.0808463
+0.0788882
+0.0769426
+0.0750105
+0.073093
+0.0711913
+0.0693066
+0.0674405
+0.0655944
+0.0637701
+0.0619695
+0.0601949
+0.0584485
+0.0567301
+0.0550424
+0.0533914
+0.0517803
+0.0502132
+0.0486942
+0.047228
+0.0458078
+0.0444493
+0.0431592
+0.041944
+0.0408102
+0.0397649
+0.0388152
+0.0379683
+0.0372312
+0.0366105
+0.0361101
+0.0357134
+0.035448
+0.0353167
+0.035321
+0.0354609
+0.035289
+0.034283
+0.033365
+0.0325598
+0.0318445
+0.0312413
+0.0307471
+0.0303758
+0.0301305
+0.0300202
+0.0300575
+0.0302537
+0.030557
+0.0309677
+0.0314814
+0.032068
+0.0327908
+0.0336232
+0.0345641
+0.035615
+0.03675
+0.0379752
+0.0392846
+0.0406159
+0.0419777
+0.0434074
+0.0448969
+0.0464036
+0.0479631
+0.0495703
+0.0512208
+0.0528854
+0.0545819
+0.0563125
+0.0580741
+0.0598641
+0.06168
+0.0635195
+0.0653807
+0.0672617
+0.0691393
+0.0709562
+0.0727936
+0.0746501
+0.0765243
+0.0784149
+0.0803207
+0.0822395
+0.0841671
+0.0852049
+0.0859427
+0.0867295
+0.0875539
+0.0884244
+0.0893402
+0.0900203
+0.0905962
+0.0912211
+0.091894
+0.0925983
+0.0932355
+0.0871983
+0.0852264
+0.0832654
+0.0813162
+0.0793696
+0.0774361
+0.0755167
+0.0736124
+0.0717244
+0.0698541
+0.068003
+0.0661726
+0.0643647
+0.0625813
+0.0608245
+0.0590967
+0.0574005
+0.0557388
+0.0541147
+0.0525286
+0.0509845
+0.0494892
+0.0480472
+0.046652
+0.0453188
+0.0440542
+0.0428643
+0.0417555
+0.0407345
+0.039808
+0.0389826
+0.038265
+0.0376614
+0.0371772
+0.0368044
+0.0365469
+0.0364195
+0.0360054
+0.0348109
+0.0336983
+0.0326566
+0.0317135
+0.0308553
+0.0301303
+0.0294637
+0.0289299
+0.0285323
+0.0282734
+0.0281489
+0.0281886
+0.0283673
+0.0286779
+0.0291022
+0.0296043
+0.0302524
+0.0310105
+0.0318789
+0.0328706
+0.0339644
+0.0351502
+0.0364198
+0.0377268
+0.0390997
+0.0405125
+0.0419809
+0.0434782
+0.0450324
+0.0466377
+0.0482821
+0.0499428
+0.051643
+0.0533789
+0.0551473
+0.056945
+0.0587694
+0.0606181
+0.0624888
+0.0643748
+0.0661774
+0.0680028
+0.0698492
+0.071715
+0.0735988
+0.075499
+0.0774136
+0.0793375
+0.0812749
+0.0832248
+0.0841429
+0.0848788
+0.0856645
+0.0864985
+0.0873796
+0.0883061
+0.0889941
+0.0895766
+0.0901859
+0.0908154
+0.0914745
+0.0920564
+0.0876178
+0.0856751
+0.0837447
+0.0818194
+0.079895
+0.0779846
+0.0760826
+0.0741928
+0.07232
+0.0704656
+0.0686309
+0.0668177
+0.0650278
+0.0632631
+0.0615257
+0.0598182
+0.058143
+0.0565031
+0.0549017
+0.0533422
+0.0518283
+0.0503643
+0.0489509
+0.0475822
+0.0462757
+0.045038
+0.0438748
+0.0427923
+0.0417966
+0.0408941
+0.0400911
+0.0393937
+0.0388076
+0.038338
+0.0379834
+0.0373187
+0.0359014
+0.0345648
+0.0333187
+0.0321592
+0.0310735
+0.0300705
+0.0291809
+0.0284132
+0.0277366
+0.027165
+0.0267355
+0.026449
+0.0263154
+0.0263467
+0.026514
+0.0268378
+0.027231
+0.027767
+0.0284619
+0.0292607
+0.0301795
+0.0312252
+0.0323752
+0.0335701
+0.0348475
+0.036198
+0.037626
+0.0390885
+0.0405743
+0.0421217
+0.0437241
+0.0453582
+0.0470201
+0.0487238
+0.050465
+0.0522402
+0.0540458
+0.055879
+0.057737
+0.0596177
+0.0614175
+0.0632285
+0.0650629
+0.0669187
+0.0687943
+0.0706879
+0.0725975
+0.074517
+0.0764509
+0.0783984
+0.0803585
+0.0823301
+0.0830954
+0.0838406
+0.084636
+0.0854801
+0.0863716
+0.0873089
+0.087901
+0.0884383
+0.0890262
+0.0896639
+0.0903275
+0.090912
+0.0880024
+0.0860684
+0.084147
+0.082239
+0.0803454
+0.0784674
+0.0766059
+0.0747622
+0.0729378
+0.071134
+0.0693224
+0.0675278
+0.0657572
+0.0640125
+0.0622961
+0.0606103
+0.0589576
+0.0573411
+0.0557637
+0.054229
+0.0527406
+0.0513026
+0.0499194
+0.0485926
+0.0473141
+0.0461043
+0.0449687
+0.0439131
+0.0429434
+0.0420655
+0.0412853
+0.0406084
+0.0400401
+0.0391584
+0.0375775
+0.0360603
+0.0345954
+0.0332063
+0.0319073
+0.030677
+0.029526
+0.0284709
+0.0275434
+0.0267635
+0.0260614
+0.0254664
+0.0249909
+0.0246771
+0.024526
+0.0245507
+0.0247068
+0.0249878
+0.025411
+0.0259845
+0.0267258
+0.027574
+0.0285286
+0.0296038
+0.0307414
+0.0319817
+0.0333071
+0.0347158
+0.0362024
+0.0377014
+0.0392397
+0.0408377
+0.042459
+0.0441213
+0.0458281
+0.0475744
+0.0493563
+0.0511699
+0.053012
+0.0548797
+0.0566812
+0.0584748
+0.0602946
+0.0621384
+0.064004
+0.0658897
+0.0677933
+0.0697073
+0.0716371
+0.0735816
+0.0755395
+0.0775099
+0.0794919
+0.0813657
+0.0820882
+0.0828425
+0.0836474
+0.0845014
+0.085403
+0.0862699
+0.086762
+0.0873063
+0.0879018
+0.0885475
+0.0892174
+0.0898017
+0.0884396
+0.0865154
+0.0846041
+0.0827067
+0.0808241
+0.0789574
+0.0771077
+0.0752738
+0.0734584
+0.071664
+0.0698923
+0.0681448
+0.0664237
+0.0647309
+0.0630689
+0.0614399
+0.0598414
+0.0582493
+0.0566973
+0.0551885
+0.0537267
+0.0523158
+0.0509601
+0.0496641
+0.0484141
+0.0472325
+0.0461247
+0.0450961
+0.0441524
+0.0432991
+0.0425415
+0.0414536
+0.0397266
+0.0380435
+0.0364146
+0.0348472
+0.0333491
+0.0319019
+0.0305391
+0.0292507
+0.0280472
+0.0269374
+0.0259552
+0.0251145
+0.0243847
+0.0237884
+0.0232825
+0.0229153
+0.022741
+0.0227581
+0.0228954
+0.0231971
+0.0236538
+0.0242689
+0.024994
+0.0258676
+0.0268708
+0.0279593
+0.0291539
+0.0304569
+0.031841
+0.0333118
+0.0348313
+0.0363933
+0.0379821
+0.03959
+0.0412515
+0.0429606
+0.0447116
+0.0465
+0.0483187
+0.0501208
+0.0519419
+0.0537471
+0.055549
+0.057378
+0.0592315
+0.0611074
+0.0630035
+0.0649109
+0.0668356
+0.0687763
+0.0707316
+0.0727002
+0.0746813
+0.0766737
+0.078658
+0.0803966
+0.0811277
+0.0818908
+0.082705
+0.0835686
+0.0844611
+0.0851654
+0.0856638
+0.086215
+0.086818
+0.0874718
+0.0881283
+0.0887132
+0.0889108
+0.0869971
+0.0850966
+0.0832105
+0.0813396
+0.0794851
+0.0776481
+0.0758298
+0.0740318
+0.0722538
+0.0704969
+0.0687648
+0.0670596
+0.0653833
+0.0637383
+0.0621269
+0.0605519
+0.0590162
+0.057523
+0.0560756
+0.0546776
+0.0533331
+0.052046
+0.0507966
+0.0495862
+0.0484332
+0.0473535
+0.0463522
+0.0454346
+0.0441266
+0.0422935
+0.0404959
+0.0387387
+0.0370131
+0.0353363
+0.0337186
+0.0321495
+0.0306457
+0.0292289
+0.0278784
+0.0266108
+0.0254684
+0.0244325
+0.0235239
+0.0227593
+0.0221192
+0.021616
+0.02122
+0.0210329
+0.0209838
+0.0211292
+0.0214517
+0.0219104
+0.0225195
+0.0232917
+0.0242258
+0.0252423
+0.026378
+0.027641
+0.0290122
+0.0304515
+0.0319468
+0.0335187
+0.035155
+0.0367582
+0.0384173
+0.0401274
+0.041874
+0.0436124
+0.0453775
+0.0471782
+0.0490066
+0.0508324
+0.0526429
+0.0544813
+0.056345
+0.0582314
+0.060131
+0.0620493
+0.0639851
+0.0659369
+0.0679032
+0.0698811
+0.0718458
+0.0738232
+0.0758123
+0.0777984
+0.0794632
+0.0801925
+0.0809745
+0.0818078
+0.0826413
+0.0835186
+0.0841035
+0.0846081
+0.0851662
+0.0857766
+0.0864382
+0.0870739
+0.0876658
+0.0891668
+0.0875278
+0.0856392
+0.0837652
+0.081907
+0.0800656
+0.0782422
+0.0764381
+0.0746547
+0.0728935
+0.0711562
+0.0694445
+0.0677604
+0.0661019
+0.0644752
+0.0628827
+0.0613271
+0.0598113
+0.0583384
+0.0569118
+0.0555349
+0.0542116
+0.0529459
+0.051742
+0.0505993
+0.0495262
+0.0485282
+0.0471524
+0.0452359
+0.043339
+0.0414711
+0.0396362
+0.0378393
+0.0360777
+0.0343443
+0.0326648
+0.0310337
+0.0294732
+0.0279972
+0.0266069
+0.0252722
+0.0240632
+0.0229795
+0.02202
+0.0212156
+0.0205134
+0.0199915
+0.0195544
+0.0193162
+0.0192273
+0.019363
+0.0196477
+0.0201452
+0.0208421
+0.0216773
+0.022623
+0.0236822
+0.0248892
+0.0262224
+0.027631
+0.0291063
+0.0306672
+0.0322867
+0.0338742
+0.0355259
+0.0372334
+0.038939
+0.0406675
+0.0424361
+0.0442425
+0.0460823
+0.0479407
+0.04976
+0.0516082
+0.0534822
+0.0553718
+0.0572819
+0.0592115
+0.0611587
+0.06311
+0.0650579
+0.0670208
+0.0689974
+0.0709865
+0.0729863
+0.0749231
+0.0768735
+0.0785458
+0.0792835
+0.0800744
+0.0808993
+0.0817366
+0.0826235
+0.0830858
+0.0835966
+0.0841613
+0.0847789
+0.0854445
+0.0860591
+0.0866579
+0.0881835
+0.0872457
+0.0862339
+0.0843732
+0.0825287
+0.0807015
+0.0788928
+0.0771039
+0.0753363
+0.0735914
+0.0718709
+0.0701767
+0.0685106
+0.0668747
+0.0652714
+0.0637031
+0.0621699
+0.0606751
+0.0592237
+0.0578189
+0.0564642
+0.0551616
+0.0539125
+0.0527249
+0.0516029
+0.050401
+0.0484342
+0.0464875
+0.0445634
+0.0426495
+0.04075
+0.0388811
+0.0370438
+0.035221
+0.0334423
+0.0317149
+0.030032
+0.0284166
+0.0268694
+0.0253962
+0.0240317
+0.0227569
+0.021613
+0.0205818
+0.0197229
+0.0189787
+0.0183995
+0.0178994
+0.0176222
+0.0175524
+0.0176257
+0.0179291
+0.0184654
+0.0192233
+0.0200992
+0.0210968
+0.0222288
+0.0235088
+0.0248766
+0.0263239
+0.0278685
+0.0293868
+0.0309681
+0.0326198
+0.0343124
+0.0359997
+0.0377327
+0.0395113
+0.0413294
+0.0431821
+0.0450652
+0.0469045
+0.0487625
+0.0506392
+0.0525387
+0.0544601
+0.056377
+0.0583029
+0.0602469
+0.0622073
+0.0641826
+0.0661714
+0.0681709
+0.070119
+0.0720663
+0.0740271
+0.075979
+0.0776729
+0.0784203
+0.0792212
+0.0800299
+0.0808762
+0.0816482
+0.0821095
+0.0826264
+0.0831977
+0.0838224
+0.0844948
+0.0850835
+0.0856825
+0.0872441
+0.0862961
+0.0853938
+0.0845385
+0.0832034
+0.0813914
+0.0795984
+0.0778257
+0.0760748
+0.0743473
+0.0726447
+0.0709689
+0.0693219
+0.0677056
+0.0661225
+0.0645748
+0.0630653
+0.0615967
+0.0601721
+0.0587871
+0.0574498
+0.0561661
+0.0549398
+0.0537749
+0.0518555
+0.0498498
+0.0478604
+0.0458893
+0.043939
+0.0420124
+0.0400909
+0.0381972
+0.0363369
+0.0344814
+0.0326503
+0.0308555
+0.029115
+0.027439
+0.0258401
+0.0243227
+0.0228952
+0.0215621
+0.0203494
+0.0192519
+0.0183303
+0.0175682
+0.0168782
+0.016339
+0.0160391
+0.0159186
+0.0159969
+0.0163155
+0.016903
+0.0177278
+0.0186242
+0.0196963
+0.0209024
+0.0221806
+0.0235786
+0.0250539
+0.0265318
+0.0281029
+0.0297525
+0.0313982
+0.0330861
+0.0348263
+0.0366149
+0.0384452
+0.0403114
+0.0422088
+0.0440744
+0.0459298
+0.0478135
+0.0496975
+0.0515937
+0.0535123
+0.0554512
+0.0574082
+0.0593815
+0.0613695
+0.0633614
+0.065329
+0.0672723
+0.0692302
+0.0711925
+0.0731511
+0.0751227
+0.076845
+0.0776004
+0.0784077
+0.0792108
+0.0800657
+0.0807133
+0.0811799
+0.0817026
+0.0822804
+0.082912
+0.0835917
+0.0841469
+0.0847483
+0.0863502
+0.0853922
+0.0844802
+0.0836156
+0.0827962
+0.0820272
+0.0803415
+0.0785847
+0.0768502
+0.0751395
+0.0734543
+0.0717964
+0.0701678
+0.0685704
+0.0670066
+0.0654745
+0.0639803
+0.0625273
+0.0611182
+0.0597563
+0.0584448
+0.0571871
+0.0554986
+0.0534501
+0.0514133
+0.0493897
+0.0473809
+0.045389
+0.0434163
+0.0414441
+0.0394938
+0.0375701
+0.0356771
+0.03382
+0.0319434
+0.0301065
+0.02832
+0.0265939
+0.0249409
+0.0233747
+0.0218846
+0.0204702
+0.0191982
+0.018035
+0.0170483
+0.0162109
+0.0154801
+0.0148911
+0.0145347
+0.01438
+0.0144707
+0.014836
+0.0154738
+0.016259
+0.0172591
+0.0183697
+0.0195618
+0.0209054
+0.0222901
+0.0237379
+0.0252928
+0.026901
+0.0285227
+0.0302091
+0.0319559
+0.0337544
+0.0355969
+0.037477
+0.0393501
+0.0411852
+0.0430536
+0.0449507
+0.0468342
+0.0487433
+0.0506752
+0.0526274
+0.0545977
+0.0565841
+0.0585666
+0.0605434
+0.0624944
+0.064448
+0.0664109
+0.0683772
+0.0703461
+0.0723269
+0.0743037
+0.0760189
+0.0767824
+0.0775803
+0.0783918
+0.0792556
+0.0798275
+0.0802993
+0.0808277
+0.0814117
+0.08205
+0.0826989
+0.0832531
+0.0838609
+0.0854263
+0.0845091
+0.0836141
+0.0827404
+0.0819123
+0.0811349
+0.0804096
+0.0793742
+0.0776593
+0.0759652
+0.0742947
+0.0726519
+0.0710386
+0.069457
+0.0679092
+0.0663976
+0.0649247
+0.0634933
+0.0621062
+0.0607664
+0.0593163
+0.0572366
+0.0551654
+0.0531038
+0.051053
+0.0490143
+0.0469893
+0.0449798
+0.0429765
+0.040982
+0.0390087
+0.0370597
+0.0351392
+0.0332522
+0.0313462
+0.0294698
+0.0276396
+0.0258656
+0.0241492
+0.0225078
+0.0209562
+0.0195067
+0.018171
+0.0169655
+0.0159043
+0.0149738
+0.0141707
+0.013529
+0.0131187
+0.0129501
+0.013044
+0.0134216
+0.0140453
+0.0148726
+0.0159455
+0.0170909
+0.0183105
+0.0196054
+0.0210294
+0.0225582
+0.0240865
+0.0256964
+0.0273806
+0.0291321
+0.0309397
+0.0327941
+0.0346741
+0.0364814
+0.0383286
+0.0402104
+0.0421066
+0.0440027
+0.045925
+0.0478704
+0.0498361
+0.05182
+0.0537905
+0.0557668
+0.0577368
+0.0596837
+0.0616422
+0.0636159
+0.0655875
+0.0675666
+0.0695477
+0.0715342
+0.0735295
+0.0752404
+0.0760057
+0.0767774
+0.0775973
+0.0784698
+0.0789926
+0.0794694
+0.0800033
+0.0805932
+0.081238
+0.0818479
+0.0824079
+0.0830218
+0.0844998
+0.0835786
+0.0826989
+0.0818684
+0.0810779
+0.0802924
+0.0795595
+0.0788806
+0.0782572
+0.0768248
+0.0751734
+0.0735502
+0.0719571
+0.0703961
+0.0688694
+0.0673793
+0.0659284
+0.0645193
+0.0631547
+0.0611697
+0.059074
+0.0569854
+0.0549047
+0.052833
+0.0507577
+0.0486915
+0.0466367
+0.0445948
+0.0425677
+0.0405577
+0.0385673
+0.0365961
+0.03465
+0.0327347
+0.030831
+0.0289211
+0.0270539
+0.0252388
+0.0234878
+0.0218163
+0.0202234
+0.0187187
+0.0172851
+0.0159914
+0.0148076
+0.0137939
+0.0129394
+0.0122532
+0.0118019
+0.0115659
+0.0116542
+0.0120625
+0.012752
+0.0136469
+0.0147821
+0.0158454
+0.0170461
+0.0184212
+0.0198686
+0.0213507
+0.0229391
+0.0246169
+0.0263701
+0.0281812
+0.0300234
+0.0318363
+0.0336533
+0.0355126
+0.0374077
+0.0393008
+0.0412096
+0.0431451
+0.045104
+0.0470833
+0.0490386
+0.0510084
+0.0529857
+0.0549425
+0.0568956
+0.0588654
+0.0608502
+0.0628267
+0.064813
+0.0667966
+0.0687842
+0.0707686
+0.072765
+0.0745121
+0.0752539
+0.0760292
+0.0768571
+0.0777379
+0.0782102
+0.0786917
+0.0792308
+0.0798265
+0.0804774
+0.0810473
+0.0816127
+0.0822326
+0.0836153
+0.0826865
+0.0817972
+0.0809574
+0.0801688
+0.0794327
+0.0787507
+0.0780753
+0.0774454
+0.0768727
+0.076105
+0.0745021
+0.0729298
+0.0713901
+0.0698851
+0.0684172
+0.0669887
+0.0652004
+0.0630836
+0.060972
+0.0588662
+0.0567669
+0.0546747
+0.0525859
+0.0504994
+0.0484222
+0.0463555
+0.0443006
+0.0422595
+0.040234
+0.0382268
+0.0362371
+0.0342705
+0.0323328
+0.0304294
+0.0285192
+0.0266191
+0.0247671
+0.0229589
+0.0212154
+0.0195532
+0.0179551
+0.0164461
+0.0150741
+0.0138442
+0.012735
+0.0118432
+0.0111353
+0.0106514
+0.0103976
+0.0104619
+0.0108514
+0.0115745
+0.0125231
+0.0136405
+0.0146958
+0.0159731
+0.0172964
+0.0187258
+0.0202805
+0.0219344
+0.0236548
+0.0254476
+0.02728
+0.0290517
+0.0308772
+0.0327475
+0.034649
+0.0365423
+0.0384632
+0.0404115
+0.0423724
+0.0443179
+0.0462783
+0.0482566
+0.0502316
+0.0521771
+0.0541412
+0.0561222
+0.0581131
+0.0600988
+0.062084
+0.0640618
+0.0660429
+0.0680368
+0.0700424
+0.0720589
+0.0738101
+0.0745506
+0.075331
+0.0761665
+0.0770551
+0.0774818
+0.0779678
+0.0785119
+0.079113
+0.0797697
+0.0802984
+0.080869
+0.0814946
+0.0827794
+0.0818412
+0.0809426
+0.0800939
+0.0792966
+0.0785524
+0.0778627
+0.0772289
+0.0766526
+0.0761093
+0.07559
+0.0751311
+0.0739481
+0.0724313
+0.0709497
+0.0693284
+0.0671989
+0.0650733
+0.0629523
+0.0608361
+0.0587255
+0.0566209
+0.0545231
+0.0524282
+0.0503353
+0.048251
+0.0461766
+0.0441134
+0.0420632
+0.0400278
+0.0380096
+0.0360079
+0.0340282
+0.0320758
+0.0301562
+0.0282054
+0.0262888
+0.0244184
+0.022588
+0.0207823
+0.0190422
+0.0173732
+0.0157863
+0.0143216
+0.0130208
+0.0119138
+0.0109097
+0.010146
+0.00959124
+0.00933515
+0.00939013
+0.00982499
+0.0105287
+0.0114939
+0.0125112
+0.013636
+0.0148848
+0.0162089
+0.0176864
+0.0192999
+0.0210176
+0.0228073
+0.0245632
+0.0263354
+0.0281595
+0.0300083
+0.0319003
+0.0338142
+0.0357566
+0.0377089
+0.0396374
+0.0415871
+0.0435597
+0.0455438
+0.047495
+0.049451
+0.051426
+0.0534178
+0.0554129
+0.0574026
+0.059368
+0.0613442
+0.0633345
+0.0653376
+0.0673524
+0.0693779
+0.0714131
+0.073167
+0.0739013
+0.0746886
+0.0755312
+0.0763786
+0.0768091
+0.0772993
+0.0778481
+0.0784542
+0.0790837
+0.0796028
+0.0801784
+0.0808093
+0.0819934
+0.0810463
+0.0801388
+0.0792815
+0.0784759
+0.0777238
+0.0770267
+0.0763861
+0.0758033
+0.0752799
+0.0748077
+0.0743939
+0.0740129
+0.0734987
+0.0714131
+0.0692783
+0.0671471
+0.0650199
+0.062897
+0.0607789
+0.0586662
+0.0565594
+0.054458
+0.0523551
+0.0502597
+0.0481727
+0.0460954
+0.0440291
+0.0419754
+0.0399362
+0.037911
+0.0358808
+0.0338702
+0.0318832
+0.0299247
+0.0279872
+0.0260668
+0.0241785
+0.022337
+0.0205042
+0.018691
+0.0169672
+0.0153628
+0.0138558
+0.0124723
+0.0112102
+0.0101851
+0.0093129
+0.00873726
+0.0084198
+0.00848703
+0.0088908
+0.0095957
+0.0105237
+0.0115289
+0.0125768
+0.0138011
+0.0152198
+0.0167845
+0.018477
+0.0202096
+0.021896
+0.0236651
+0.0254644
+0.0273199
+0.0292217
+0.0311461
+0.0331
+0.035016
+0.0369498
+0.0389108
+0.0408895
+0.0428614
+0.0448055
+0.0467714
+0.0487564
+0.0507584
+0.0527565
+0.0547102
+0.0566794
+0.0586643
+0.0606634
+0.0626754
+0.0646989
+0.066733
+0.0687767
+0.0708291
+0.0725758
+0.0733118
+0.0741053
+0.0749545
+0.0757594
+0.0761934
+0.0766875
+0.0772406
+0.0778515
+0.0784385
+0.0789618
+0.0795421
+0.0801772
+0.081259
+0.0803033
+0.0793873
+0.0785218
+0.0777084
+0.0769488
+0.0762445
+0.0755973
+0.0750084
+0.0744794
+0.0740114
+0.0735963
+0.0732412
+0.0729501
+0.0714316
+0.0692974
+0.0671668
+0.0650402
+0.062918
+0.0607964
+0.0586796
+0.0565684
+0.0544635
+0.0523626
+0.0502675
+0.0481809
+0.0461016
+0.0440278
+0.0419641
+0.0398992
+0.0378484
+0.0358142
+0.0337996
+0.0318082
+0.0298448
+0.0278855
+0.0259558
+0.0240709
+0.0222298
+0.0203432
+0.0185143
+0.0167723
+0.0151313
+0.0135224
+0.0120641
+0.0107915
+0.00966756
+0.00876115
+0.00814023
+0.00777954
+0.00774995
+0.00816841
+0.00890448
+0.00979011
+0.0106398
+0.0116913
+0.0129992
+0.0144966
+0.016127
+0.0176604
+0.0193209
+0.0210711
+0.0228715
+0.0247275
+0.0266342
+0.0285648
+0.0304811
+0.0323894
+0.0343257
+0.0362873
+0.0382738
+0.0402199
+0.042172
+0.0441465
+0.0461405
+0.0481516
+0.0500982
+0.0520575
+0.0540346
+0.0560276
+0.0580348
+0.0600549
+0.0620866
+0.0641286
+0.06618
+0.0682249
+0.0702687
+0.0720421
+0.0727835
+0.0735827
+0.0744378
+0.0751989
+0.0756361
+0.0761339
+0.076691
+0.0773062
+0.0778496
+0.0783769
+0.0789606
+0.0795896
+0.0805728
+0.0796137
+0.0786897
+0.0778164
+0.0769955
+0.0762288
+0.0755179
+0.0748643
+0.0742696
+0.0737353
+0.0732626
+0.0728527
+0.0724972
+0.0722032
+0.0715069
+0.069371
+0.0672387
+0.0651102
+0.062986
+0.0608665
+0.0587522
+0.0566438
+0.0545418
+0.0524389
+0.0503428
+0.048255
+0.046174
+0.0440959
+0.0420215
+0.0399595
+0.037912
+0.0358814
+0.0338708
+0.0318839
+0.0298995
+0.0279371
+0.0259876
+0.0240649
+0.0221919
+0.0203823
+0.0185542
+0.0167586
+0.0150678
+0.0134618
+0.0119446
+0.0105833
+0.00942984
+0.00846303
+0.00772265
+0.00729324
+0.00723731
+0.00762946
+0.00829581
+0.00915236
+0.00993585
+0.0110831
+0.0124762
+0.0138685
+0.0153149
+0.0169087
+0.018622
+0.0204198
+0.0222647
+0.0241619
+0.0260364
+0.0279381
+0.0298372
+0.0317738
+0.0337416
+0.0357176
+0.0376482
+0.0396059
+0.0415868
+0.0435757
+0.0455462
+0.0474912
+0.0494567
+0.0514405
+0.0534404
+0.0554548
+0.057482
+0.0595178
+0.0615632
+0.0636182
+0.0656637
+0.0677139
+0.0697727
+0.0715715
+0.0723177
+0.073122
+0.0738539
+0.0745463
+0.0751386
+0.0756397
+0.0762004
+0.0768195
+0.0773183
+0.0778484
+0.0784251
+0.0790583
+0.0799352
+0.0789711
+0.0780473
+0.0771667
+0.0763389
+0.0755655
+0.0748483
+0.0741888
+0.0735887
+0.0730494
+0.0725722
+0.0721584
+0.071801
+0.0715041
+0.0712733
+0.0695015
+0.0673733
+0.0652492
+0.0631297
+0.0610152
+0.0589063
+0.0567961
+0.0546914
+0.0525939
+0.0505042
+0.048417
+0.0463353
+0.0442591
+0.0421927
+0.0401395
+0.0380897
+0.0360519
+0.0340331
+0.0320369
+0.0300639
+0.0280785
+0.026126
+0.0242143
+0.0223537
+0.0205584
+0.0187396
+0.0169636
+0.0152115
+0.0135832
+0.0121112
+0.0107306
+0.00948439
+0.00840782
+0.00761359
+0.00705008
+0.00689442
+0.00720298
+0.00780619
+0.00857106
+0.00952354
+0.0107158
+0.011958
+0.0132516
+0.0147378
+0.0163672
+0.0181154
+0.0199511
+0.0217625
+0.0236212
+0.0255001
+0.027393
+0.0293275
+0.0312832
+0.0332309
+0.0351615
+0.037121
+0.0390761
+0.0410334
+0.042998
+0.0449465
+0.0469164
+0.0489051
+0.0509077
+0.0529231
+0.054952
+0.0569928
+0.0590444
+0.0611044
+0.0631506
+0.0652063
+0.0672387
+0.0692685
+0.0711652
+0.0719157
+0.0726013
+0.0732487
+0.0739469
+0.0747021
+0.075206
+0.07577
+0.0763709
+0.076845
+0.0773671
+0.0779474
+0.0785844
+0.0793451
+0.0783685
+0.0774416
+0.0765662
+0.0757399
+0.0749604
+0.0742373
+0.0735724
+0.0729672
+0.0724232
+0.0719419
+0.0715244
+0.0711639
+0.0708643
+0.0706314
+0.0697007
+0.0675788
+0.0654614
+0.063349
+0.0612351
+0.0591261
+0.0570234
+0.0549274
+0.0528347
+0.0507451
+0.0486644
+0.0465788
+0.0444984
+0.0424291
+0.0403726
+0.038331
+0.0363068
+0.034303
+0.0323235
+0.0303303
+0.0283636
+0.0264322
+0.0245444
+0.0226972
+0.0208426
+0.0190594
+0.0172997
+0.0156193
+0.0139858
+0.0124221
+0.0109166
+0.00956053
+0.00847846
+0.00767839
+0.00707037
+0.00685148
+0.00702888
+0.0075544
+0.00834513
+0.00943509
+0.0104814
+0.0115917
+0.0129101
+0.0144054
+0.0160597
+0.017785
+0.0195382
+0.0213724
+0.0231969
+0.0250461
+0.0269466
+0.0288881
+0.0308467
+0.0327791
+0.0346849
+0.0366148
+0.0385725
+0.0405265
+0.0424734
+0.0444394
+0.0464255
+0.0484293
+0.0504486
+0.0524817
+0.0545269
+0.0565782
+0.0586193
+0.0606708
+0.0627091
+0.0647327
+0.0667668
+0.0688105
+0.0708244
+0.0714295
+0.0720121
+0.072656
+0.0733598
+0.0741216
+0.074834
+0.0754008
+0.0759548
+0.0764203
+0.0769453
+0.0775287
+0.0781692
+0.0788041
+0.077823
+0.0768896
+0.0760078
+0.0751796
+0.0744066
+0.0736864
+0.0730165
+0.0724066
+0.0718584
+0.0713733
+0.0709525
+0.0705891
+0.070287
+0.0700522
+0.0698853
+0.0678544
+0.0657394
+0.0636289
+0.061524
+0.0594242
+0.0573271
+0.0552222
+0.0531241
+0.0510339
+0.0489524
+0.0468789
+0.0448124
+0.0427583
+0.0407184
+0.0386951
+0.0366909
+0.0346974
+0.0326999
+0.0307288
+0.0287893
+0.0268777
+0.0250072
+0.0231468
+0.0213016
+0.0194742
+0.0176626
+0.0159417
+0.0143051
+0.0127129
+0.0112131
+0.00984809
+0.00868993
+0.00784723
+0.00730796
+0.00702086
+0.00712564
+0.00763313
+0.00835512
+0.00923025
+0.0103028
+0.0115146
+0.0128288
+0.0143076
+0.0158952
+0.0175641
+0.0192854
+0.0210232
+0.0228382
+0.0247143
+0.0266264
+0.0285093
+0.0304334
+0.0323347
+0.0342569
+0.0362096
+0.0381328
+0.0400723
+0.0420364
+0.0440219
+0.046026
+0.0480465
+0.0500812
+0.0521084
+0.0541407
+0.0561848
+0.0582394
+0.0602537
+0.06228
+0.064317
+0.0663639
+0.0683741
+0.0703385
+0.0708699
+0.071457
+0.0721059
+0.072815
+0.0735825
+0.0744066
+0.0750937
+0.0755886
+0.0760563
+0.0765838
+0.07717
+0.0778134
+0.0783156
+0.0773357
+0.0763963
+0.0755088
+0.074675
+0.0738968
+0.0731759
+0.0725141
+0.0719084
+0.0713565
+0.0708679
+0.0704441
+0.070078
+0.0697737
+0.0695372
+0.0693691
+0.068186
+0.0660778
+0.0639716
+0.06186
+0.0597541
+0.0576545
+0.0555619
+0.0534772
+0.0514013
+0.0493354
+0.0472786
+0.0452304
+0.0431962
+0.041178
+0.0391784
+0.0371762
+0.035183
+0.0332147
+0.0312632
+0.0293451
+0.0274662
+0.0255643
+0.0237046
+0.0218059
+0.0199618
+0.0181506
+0.0163669
+0.0146623
+0.0130728
+0.0115853
+0.0102346
+0.00910185
+0.00825001
+0.00757009
+0.00728963
+0.00725022
+0.00767951
+0.0083457
+0.00926859
+0.0103356
+0.0114756
+0.0128463
+0.0143362
+0.0158491
+0.0174171
+0.0191053
+0.0208581
+0.022663
+0.0244653
+0.0263205
+0.0282238
+0.0301011
+0.0320138
+0.0339222
+0.0358339
+0.0377727
+0.0397297
+0.04171
+0.0437103
+0.0457201
+0.0477228
+0.0497413
+0.0517738
+0.0538187
+0.0558452
+0.05786
+0.0598871
+0.0619254
+0.0639483
+0.065946
+0.0679557
+0.0698256
+0.0703741
+0.0709653
+0.0716187
+0.0723325
+0.0731051
+0.0739345
+0.0748189
+0.0752844
+0.075754
+0.0762836
+0.076872
+0.0775179
+0.0778857
+0.0769078
+0.0759631
+0.0750705
+0.0742318
+0.0734488
+0.0727235
+0.0720575
+0.071448
+0.0709004
+0.0704166
+0.0699982
+0.0696321
+0.0693259
+0.0690878
+0.0689186
+0.0685552
+0.0664448
+0.0643398
+0.0622406
+0.060148
+0.0580627
+0.0559854
+0.0539171
+0.0518588
+0.0498118
+0.0477756
+0.0457497
+0.0437396
+0.0417473
+0.0397419
+0.0377544
+0.035782
+0.0338364
+0.0318948
+0.0299521
+0.028031
+0.0261523
+0.0242215
+0.0223267
+0.0204909
+0.018678
+0.0169325
+0.0152644
+0.0136937
+0.0122199
+0.0108899
+0.00976208
+0.00885973
+0.00809206
+0.00757304
+0.00746743
+0.00783181
+0.0085005
+0.00947491
+0.0104563
+0.0115591
+0.0129151
+0.014347
+0.0159122
+0.0174745
+0.019129
+0.0207766
+0.0225171
+0.0243279
+0.0261281
+0.0279794
+0.0298673
+0.0317684
+0.0336599
+0.0355857
+0.0375372
+0.0394955
+0.0414603
+0.0434383
+0.0454356
+0.0474501
+0.0494794
+0.051522
+0.0535234
+0.055536
+0.0575616
+0.0595966
+0.0615796
+0.0635763
+0.0655854
+0.0675523
+0.0693781
+0.0699434
+0.0705382
+0.0711955
+0.0719136
+0.0726906
+0.0735247
+0.0744139
+0.0750409
+0.075512
+0.0760433
+0.0766335
+0.0772814
+0.0775091
+0.0765393
+0.07559
+0.0746929
+0.0738499
+0.0730629
+0.0723337
+0.0716641
+0.0710521
+0.0705014
+0.0700149
+0.0695941
+0.06924
+0.0689448
+0.0687054
+0.0685352
+0.0684348
+0.0668711
+0.0647799
+0.0626956
+0.0606187
+0.0585501
+0.0564907
+0.0544416
+0.0524039
+0.0503791
+0.0483668
+0.046365
+0.0443518
+0.0423563
+0.040381
+0.0384014
+0.0363989
+0.0344194
+0.032467
+0.0305469
+0.0286232
+0.0267074
+0.0248132
+0.0229672
+0.0211651
+0.0193735
+0.0176703
+0.0160372
+0.014515
+0.0130838
+0.0117925
+0.0105969
+0.0094831
+0.0086031
+0.00805177
+0.00794176
+0.00835098
+0.0089723
+0.00976044
+0.0107356
+0.0117645
+0.0130699
+0.0145072
+0.0160339
+0.0175812
+0.0191644
+0.0208447
+0.0224985
+0.0242368
+0.0260433
+0.027897
+0.0297346
+0.0316091
+0.0335152
+0.0354122
+0.0373414
+0.0392841
+0.0412499
+0.0432373
+0.0452436
+0.0472661
+0.0492848
+0.0512768
+0.0532821
+0.0553014
+0.0572993
+0.0592783
+0.0612716
+0.063278
+0.0652963
+0.0671612
+0.0689973
+0.069579
+0.0701769
+0.0708376
+0.0715592
+0.0723401
+0.0731781
+0.0740716
+0.0748503
+0.0753226
+0.0758552
+0.0764469
+0.0770964
+0.0771825
+0.0762089
+0.0752715
+0.0743705
+0.0735238
+0.0727333
+0.0720008
+0.071328
+0.0707168
+0.0701684
+0.0696798
+0.0692569
+0.0689011
+0.0686134
+0.0683911
+0.0682201
+0.0681192
+0.067366
+0.0652907
+0.0632232
+0.0611642
+0.0591147
+0.0570757
+0.0550484
+0.0530319
+0.0509996
+0.048981
+0.0469778
+0.044992
+0.0429955
+0.0409833
+0.0389904
+0.0370198
+0.0350724
+0.0331121
+0.0311824
+0.0292895
+0.0274042
+0.0255599
+0.0237547
+0.0219711
+0.0202494
+0.0185972
+0.0170136
+0.015509
+0.0141435
+0.0127415
+0.0113772
+0.0102484
+0.00939976
+0.0088569
+0.00868628
+0.00896777
+0.00951423
+0.0102641
+0.0111281
+0.0121182
+0.0133225
+0.014675
+0.0161406
+0.0176798
+0.0192985
+0.0209325
+0.0225789
+0.0243114
+0.0260628
+0.0278566
+0.0296967
+0.0315475
+0.03341
+0.0353102
+0.0372322
+0.0391788
+0.0411499
+0.0431422
+0.0451529
+0.0471345
+0.0491134
+0.0511097
+0.0531213
+0.0550806
+0.0570523
+0.0590396
+0.0610407
+0.0630545
+0.0649538
+0.0668256
+0.0686843
+0.069282
+0.0698825
+0.0705459
+0.0712705
+0.0720545
+0.0728958
+0.0737927
+0.0747235
+0.0751966
+0.0757301
+0.0763228
+0.0769733
+0.076917
+0.0759399
+0.0750137
+0.0741116
+0.0732619
+0.0724685
+0.0717332
+0.071058
+0.0704444
+0.069894
+0.0694086
+0.0689877
+0.0686305
+0.0683417
+0.0681221
+0.0679724
+0.0678729
+0.0678423
+0.0658603
+0.0638216
+0.0617826
+0.0597509
+0.0577094
+0.0556789
+0.053658
+0.0516503
+0.0496582
+0.0476503
+0.0456331
+0.0436325
+0.0416511
+0.0396785
+0.0377031
+0.0357528
+0.0338319
+0.0319458
+0.0300754
+0.0282356
+0.0264344
+0.0246732
+0.0229573
+0.0212932
+0.0196408
+0.0180735
+0.0165123
+0.0150142
+0.0136045
+0.0123415
+0.0112788
+0.0103954
+0.00977505
+0.00953194
+0.00965591
+0.0101277
+0.0108815
+0.0116658
+0.0126287
+0.0137626
+0.0150456
+0.0164409
+0.0179184
+0.0195212
+0.0212293
+0.0228468
+0.0244846
+0.0262034
+0.027964
+0.0297283
+0.0315462
+0.0334088
+0.0353053
+0.0372237
+0.0391707
+0.0411422
+0.0431348
+0.0450919
+0.0470548
+0.049037
+0.051008
+0.0529502
+0.054911
+0.0568887
+0.0588815
+0.0608878
+0.0627922
+0.0646523
+0.0665327
+0.0684315
+0.069048
+0.0696505
+0.0703161
+0.0710431
+0.0718295
+0.0726735
+0.073573
+0.0745152
+0.0751343
+0.0756683
+0.0762614
+0.0769124
+0.0767042
+0.0757271
+0.0747922
+0.073898
+0.0730585
+0.0722691
+0.0715318
+0.0708546
+0.0702393
+0.0696873
+0.0692004
+0.0687798
+0.0684268
+0.0681394
+0.0679191
+0.067769
+0.0676895
+0.0676659
+0.0664374
+0.0644237
+0.0624174
+0.0603865
+0.0583645
+0.0563543
+0.054355
+0.0523496
+0.05033
+0.0483253
+0.0463374
+0.0443455
+0.0423631
+0.0404002
+0.0384618
+0.036552
+0.0346755
+0.0328216
+0.03099
+0.0291912
+0.0274317
+0.0257293
+0.0240268
+0.0223617
+0.0206996
+0.0190548
+0.0175002
+0.0160643
+0.0146665
+0.0134312
+0.0123397
+0.0114793
+0.010838
+0.010538
+0.010666
+0.0110687
+0.0116842
+0.0124538
+0.0133298
+0.014391
+0.0156006
+0.0169195
+0.0183453
+0.0199102
+0.0215083
+0.0231214
+0.0248148
+0.0264445
+0.0281336
+0.029888
+0.0316967
+0.0335509
+0.035432
+0.0373439
+0.0392849
+0.0412509
+0.0431715
+0.0450986
+0.0470488
+0.0489945
+0.0509192
+0.0528647
+0.0548286
+0.0568091
+0.0587995
+0.0607117
+0.0625571
+0.064424
+0.0663108
+0.0682158
+0.0688748
+0.0694787
+0.070146
+0.0708747
+0.0716629
+0.0725089
+0.0734104
+0.0743547
+0.0751359
+0.0756698
+0.076263
+0.076914
+0.0765503
+0.0755713
+0.0746343
+0.0737382
+0.0728969
+0.0721124
+0.0713864
+0.0707127
+0.0700997
+0.069549
+0.0690611
+0.0686397
+0.0682859
+0.068001
+0.0677857
+0.067636
+0.0675563
+0.0675476
+0.0670812
+0.0650873
+0.0630965
+0.0610848
+0.0590675
+0.0570629
+0.0550533
+0.0530549
+0.0510492
+0.0490481
+0.047064
+0.0450989
+0.0431511
+0.0412257
+0.0393281
+0.0374625
+0.0356257
+0.0337844
+0.0319737
+0.0302134
+0.0285127
+0.0268396
+0.0250993
+0.0233795
+0.0216994
+0.0201111
+0.0186251
+0.0171487
+0.0158187
+0.0146304
+0.0135514
+0.0126662
+0.0120761
+0.0117886
+0.0118307
+0.0121004
+0.0126304
+0.0132972
+0.01411
+0.0151607
+0.0162757
+0.0175227
+0.0189111
+0.0204125
+0.02196
+0.0235624
+0.0251818
+0.0267779
+0.0284532
+0.0301946
+0.0319912
+0.0338296
+0.0356929
+0.0375915
+0.0394776
+0.0413448
+0.0432423
+0.0451664
+0.0470989
+0.0490001
+0.0509247
+0.0528699
+0.0548264
+0.0567834
+0.0586783
+0.0605479
+0.0623981
+0.0642697
+0.0658178
+0.0671812
+0.0685874
+0.0693758
+0.070044
+0.0707737
+0.0715631
+0.0724102
+0.0733129
+0.0742584
+0.0752013
+0.0757348
+0.0763274
+0.0769779
+0.0764483
+0.0754712
+0.0745406
+0.0736433
+0.0728009
+0.0720153
+0.0712885
+0.0706221
+0.0700132
+0.0694631
+0.0689783
+0.0685601
+0.0682097
+0.0679256
+0.06771
+0.0675649
+0.0674905
+0.0674853
+0.0675418
+0.0658173
+0.0638246
+0.0617992
+0.0597854
+0.0577846
+0.0557889
+0.0537857
+0.0517977
+0.0498267
+0.0478748
+0.0459445
+0.0440341
+0.0421491
+0.040295
+0.0384431
+0.0366007
+0.0347986
+0.0330435
+0.0313433
+0.0296558
+0.0278559
+0.0261147
+0.0244452
+0.0228406
+0.0212733
+0.0197514
+0.0183651
+0.017065
+0.0158626
+0.0148464
+0.0140391
+0.0134776
+0.0131512
+0.0131021
+0.0132825
+0.0136759
+0.0143397
+0.0151365
+0.0160049
+0.0170799
+0.0182917
+0.0196503
+0.0210602
+0.0225402
+0.0240874
+0.0256743
+0.0272748
+0.0289213
+0.0306361
+0.0324082
+0.0341809
+0.0359872
+0.0378342
+0.0396762
+0.0415344
+0.0434018
+0.0452689
+0.0471538
+0.0490641
+0.0509912
+0.0529188
+0.0547841
+0.0566607
+0.058559
+0.060463
+0.0619024
+0.0631984
+0.0645427
+0.0659324
+0.0673647
+0.068837
+0.0700104
+0.0707405
+0.0715302
+0.0723777
+0.0732809
+0.0742268
+0.0752231
+0.0758629
+0.0764546
+0.077104
+0.0764075
+0.0754298
+0.0745038
+0.0736135
+0.0727708
+0.0719849
+0.0712577
+0.070591
+0.0699866
+0.0694448
+0.06896
+0.0685416
+0.0681912
+0.067907
+0.0676914
+0.0675461
+0.0674718
+0.0674685
+0.0675363
+0.0665565
+0.0645424
+0.0625403
+0.0605512
+0.0585498
+0.0565595
+0.0545846
+0.0526268
+0.0506881
+0.0487707
+0.0468773
+0.0450065
+0.0431463
+0.0412904
+0.0394592
+0.0376665
+0.035918
+0.0342203
+0.0324545
+0.0306614
+0.0289231
+0.0272487
+0.0256066
+0.0239849
+0.0224332
+0.020995
+0.01963
+0.0183512
+0.0172436
+0.0162641
+0.0154969
+0.0149032
+0.0145038
+0.0143359
+0.0144572
+0.0148218
+0.015401
+0.016193
+0.0170075
+0.0180236
+0.0192177
+0.0204657
+0.0218277
+0.0232441
+0.02475
+0.0262689
+0.0278352
+0.0294801
+0.0311292
+0.0328256
+0.0345761
+0.0363409
+0.0381344
+0.0399396
+0.0417589
+0.0435754
+0.0454249
+0.0473036
+0.0492081
+0.0510631
+0.0528902
+0.054744
+0.0566219
+0.0581363
+0.0593528
+0.0606241
+0.0619469
+0.0633178
+0.0647338
+0.066192
+0.0676898
+0.0692244
+0.0707751
+0.0715644
+0.0724115
+0.0733143
+0.0742597
+0.0752556
+0.076054
+0.0766442
+0.077292
+0.0764247
+0.0754473
+0.0745215
+0.0736489
+0.0728066
+0.072021
+0.0712942
+0.0706279
+0.0700238
+0.0694835
+0.0690086
+0.0685932
+0.068243
+0.067959
+0.0677435
+0.0675984
+0.0675241
+0.0675208
+0.0675886
+0.0673165
+0.0653259
+0.0633343
+0.0613429
+0.0593654
+0.0574035
+0.0554587
+0.0535328
+0.0516281
+0.049747
+0.0478826
+0.0460182
+0.0441714
+0.0423515
+0.0405683
+0.0388268
+0.0371298
+0.0353023
+0.0335184
+0.0317854
+0.0300999
+0.028399
+0.0267582
+0.0251862
+0.0237126
+0.0222816
+0.020948
+0.0197544
+0.0186651
+0.0176984
+0.0168922
+0.0162979
+0.0158945
+0.0157386
+0.0158147
+0.0160885
+0.0165963
+0.0172783
+0.0181264
+0.0190681
+0.0201649
+0.0214007
+0.0227161
+0.0240911
+0.0255121
+0.027003
+0.0285532
+0.0301088
+0.0317144
+0.033381
+0.0350547
+0.0367805
+0.0385136
+0.0402739
+0.0420423
+0.0438471
+0.0456856
+0.0475492
+0.0493185
+0.0511141
+0.0529395
+0.0544672
+0.0556729
+0.0568577
+0.058101
+0.0593992
+0.0607486
+0.0621459
+0.063588
+0.0650719
+0.0665949
+0.0681542
+0.0697475
+0.0713722
+0.0725115
+0.073413
+0.0743573
+0.0753518
+0.0763075
+0.0768958
+0.0775414
+0.0764973
+0.0755208
+0.0745959
+0.0737245
+0.0729082
+0.0721238
+0.071398
+0.0707326
+0.0701294
+0.06959
+0.0691158
+0.0687082
+0.068365
+0.0680815
+0.0678664
+0.0677216
+0.0676474
+0.0676441
+0.0677118
+0.0678443
+0.0661431
+0.064164
+0.0621991
+0.0602498
+0.0583176
+0.0564043
+0.0545119
+0.0526417
+0.0507702
+0.0489178
+0.0470799
+0.045271
+0.0434971
+0.0417629
+0.0400048
+0.0381892
+0.0364149
+0.0346882
+0.0329393
+0.0312333
+0.0295911
+0.0280098
+0.0264604
+0.0249869
+0.0236248
+0.0223466
+0.0211382
+0.0200662
+0.0191304
+0.0183687
+0.0177935
+0.017433
+0.0172436
+0.0172266
+0.0174305
+0.0178632
+0.0184831
+0.0192809
+0.020233
+0.0212485
+0.0224025
+0.0236399
+0.0249696
+0.0263291
+0.0277616
+0.0292787
+0.0307959
+0.0323812
+0.0339888
+0.0356323
+0.0372818
+0.0389515
+0.0406633
+0.0424156
+0.0441836
+0.0459879
+0.0477114
+0.0494684
+0.0507977
+0.0519238
+0.0531164
+0.0543712
+0.0556361
+0.0569061
+0.0582309
+0.0596067
+0.0610302
+0.0624981
+0.0640073
+0.065555
+0.0671384
+0.0687553
+0.0703988
+0.0720682
+0.0734077
+0.0743753
+0.0753943
+0.0764523
+0.0772087
+0.0778518
+0.0766131
+0.0756504
+0.0747345
+0.0738647
+0.0730503
+0.0722928
+0.0715687
+0.070905
+0.0703032
+0.0697651
+0.0692921
+0.0688856
+0.0685467
+0.0682678
+0.0680534
+0.0679089
+0.0678349
+0.0678317
+0.0678991
+0.068037
+0.0670096
+0.0650569
+0.0631198
+0.0611998
+0.0592985
+0.0574179
+0.0555434
+0.053681
+0.05184
+0.0500113
+0.0482128
+0.0464479
+0.0447208
+0.0429108
+0.0411068
+0.0393421
+0.0375476
+0.0357928
+0.0340884
+0.0324299
+0.030816
+0.0292642
+0.0277666
+0.0263661
+0.0249998
+0.0237296
+0.0225926
+0.0215559
+0.0206762
+0.0199532
+0.0194062
+0.0189696
+0.0187393
+0.018684
+0.0188576
+0.0192177
+0.0198074
+0.0205369
+0.0213931
+0.0224065
+0.0235286
+0.0246635
+0.0258895
+0.0272061
+0.0285973
+0.030006
+0.0314874
+0.0330204
+0.0346186
+0.0361858
+0.0377998
+0.0394514
+0.0411233
+0.0428326
+0.0445396
+0.0462497
+0.0473379
+0.0483518
+0.0494421
+0.0505991
+0.0518223
+0.0531076
+0.0544508
+0.0557716
+0.0571227
+0.0585246
+0.0599738
+0.0614669
+0.0630008
+0.0645726
+0.0661774
+0.0678092
+0.0694717
+0.0711628
+0.0728806
+0.0744029
+0.0754215
+0.0764784
+0.0775815
+0.0782223
+0.0767864
+0.0758259
+0.0749171
+0.074062
+0.0732573
+0.0725023
+0.0718043
+0.0711428
+0.0705431
+0.0700068
+0.0695355
+0.0691304
+0.0687927
+0.0685231
+0.0683094
+0.0681655
+0.0680918
+0.0680886
+0.0681558
+0.0682932
+0.0679357
+0.0660104
+0.0641021
+0.0622124
+0.0603322
+0.0584589
+0.0566083
+0.0547794
+0.0529616
+0.051173
+0.0494168
+0.0476681
+0.045842
+0.0440187
+0.0421918
+0.0404011
+0.0386517
+0.0369454
+0.0352833
+0.0336734
+0.0321121
+0.0306075
+0.0291432
+0.0277329
+0.0264193
+0.0252187
+0.0241207
+0.0231488
+0.0222863
+0.0215638
+0.0209461
+0.0205222
+0.0202742
+0.0201852
+0.0202795
+0.0205611
+0.0210213
+0.021694
+0.0225473
+0.0235109
+0.0245617
+0.0256432
+0.0268406
+0.0281111
+0.0293983
+0.0307548
+0.0322032
+0.0337143
+0.0352174
+0.0367545
+0.0383389
+0.0399495
+0.0415963
+0.0432521
+0.0441374
+0.0450104
+0.0459714
+0.0470148
+0.0481354
+0.0493234
+0.0505773
+0.0518935
+0.0532673
+0.0546944
+0.0560766
+0.0575041
+0.0589783
+0.060496
+0.0620539
+0.0636422
+0.0652638
+0.0669179
+0.068602
+0.0703141
+0.072052
+0.0738141
+0.0755115
+0.0765672
+0.077669
+0.0786521
+0.0770216
+0.076064
+0.0751581
+0.0743058
+0.0735089
+0.0727693
+0.0720648
+0.0714186
+0.0708252
+0.0702911
+0.0698217
+0.0694183
+0.069082
+0.0688138
+0.0686146
+0.0684849
+0.0684179
+0.0684147
+0.0684815
+0.0686183
+0.0688246
+0.067022
+0.0651374
+0.0632546
+0.0613923
+0.0595523
+0.0577355
+0.0559279
+0.0541487
+0.0524006
+0.0506082
+0.0487356
+0.0468878
+0.0450708
+0.0432883
+0.0415449
+0.0398369
+0.0381749
+0.036565
+0.0350009
+0.0334808
+0.0319731
+0.0305357
+0.0291839
+0.0279323
+0.0267753
+0.0257324
+0.0247171
+0.0238283
+0.0230814
+0.0225005
+0.0220498
+0.0217525
+0.0216193
+0.0216837
+0.0219353
+0.0223683
+0.0229682
+0.0237242
+0.0246417
+0.0256249
+0.0266633
+0.0278357
+0.0290566
+0.0302838
+0.0316007
+0.033006
+0.0344336
+0.0359223
+0.0374196
+0.0389505
+0.0405348
+0.041248
+0.0419684
+0.0427809
+0.043681
+0.0446706
+0.0457437
+0.0468947
+0.0481133
+0.049398
+0.0507448
+0.0521488
+0.0536057
+0.0550828
+0.0565353
+0.0580342
+0.059576
+0.0611573
+0.0627682
+0.0644119
+0.0660872
+0.067792
+0.069524
+0.0712812
+0.0730619
+0.0748644
+0.076687
+0.0778181
+0.0789633
+0.0773182
+0.0763643
+0.0754621
+0.0746132
+0.0738196
+0.0730831
+0.0723818
+0.0717385
+0.0711569
+0.0706384
+0.0701752
+0.0697738
+0.0694393
+0.0691725
+0.0689743
+0.0688453
+0.0687858
+0.0687961
+0.0688755
+0.0690115
+0.0692166
+0.068065
+0.066193
+0.0643411
+0.0625112
+0.0607051
+0.0589078
+0.0571374
+0.0553721
+0.0534852
+0.0516215
+0.0497844
+0.047977
+0.0462028
+0.0444638
+0.0427572
+0.0410966
+0.039483
+0.0379171
+0.0363637
+0.0348486
+0.0333907
+0.0320096
+0.0307187
+0.0294635
+0.028291
+0.0272173
+0.0262448
+0.025374
+0.0246442
+0.0240099
+0.0235475
+0.0232441
+0.0231172
+0.0231457
+0.0233543
+0.02373
+0.0242891
+0.024997
+0.0258231
+0.0267461
+0.0277991
+0.0288804
+0.0300642
+0.0312647
+0.032542
+0.0338712
+0.0352482
+0.0366877
+0.0381456
+0.0387306
+0.0392541
+0.0398903
+0.0406347
+0.0414815
+0.0424171
+0.0434412
+0.0445441
+0.0457253
+0.0469742
+0.0482892
+0.0496661
+0.0510998
+0.0525857
+0.0541101
+0.055636
+0.0571584
+0.0587232
+0.0603269
+0.0619594
+0.0636239
+0.0653195
+0.0670438
+0.0687947
+0.0705701
+0.0723682
+0.0741875
+0.0760264
+0.0778835
+0.0791706
+0.0776754
+0.076726
+0.0758281
+0.0749834
+0.0741937
+0.073461
+0.0727635
+0.0721236
+0.0715451
+0.0710294
+0.070578
+0.0701921
+0.0698634
+0.0695983
+0.0694013
+0.0692731
+0.069214
+0.0692242
+0.0693037
+0.0694523
+0.0696694
+0.0691454
+0.0673034
+0.0654829
+0.0636858
+0.0618993
+0.0601371
+0.0582545
+0.0563826
+0.0545306
+0.0527039
+0.0509059
+0.0491398
+0.0474028
+0.045701
+0.0440414
+0.0424266
+0.0408078
+0.0392296
+0.0377087
+0.0362445
+0.0348148
+0.0334277
+0.0321289
+0.0309036
+0.0297878
+0.0287521
+0.0278005
+0.0269423
+0.0261802
+0.0255759
+0.0251289
+0.0248102
+0.0246455
+0.0246476
+0.0248361
+0.0251848
+0.025685
+0.0262835
+0.027046
+0.0279283
+0.0289215
+0.0299838
+0.0311552
+0.0323181
+0.0335519
+0.0348126
+0.0361538
+0.0366284
+0.0369465
+0.0373905
+0.0379515
+0.0386091
+0.0393778
+0.0402511
+0.0412146
+0.0422678
+0.0434061
+0.0446229
+0.0459115
+0.0472561
+0.0486622
+0.0501247
+0.0516386
+0.0531902
+0.0547842
+0.0563543
+0.0579407
+0.0595655
+0.0612183
+0.0629025
+0.064617
+0.0663595
+0.068128
+0.0699203
+0.0717348
+0.0735697
+0.0754236
+0.0770333
+0.0786516
+0.0780893
+0.0771453
+0.0762523
+0.0754123
+0.0746272
+0.0738988
+0.0732087
+0.0725728
+0.0719978
+0.0714855
+0.071037
+0.0706536
+0.0703364
+0.0700862
+0.0698944
+0.0697671
+0.0697084
+0.0697186
+0.0697975
+0.069945
+0.0701606
+0.0702774
+0.0684659
+0.0666772
+0.0649008
+0.0630405
+0.0611581
+0.0592969
+0.0574589
+0.0556427
+0.0538538
+0.052094
+0.0503601
+0.0486631
+0.0470058
+0.0453455
+0.0437117
+0.0421284
+0.0405964
+0.0390856
+0.037601
+0.0361881
+0.0348556
+0.0335976
+0.0324279
+0.0313333
+0.0303309
+0.0293831
+0.0285181
+0.0277786
+0.0271812
+0.0267189
+0.0263944
+0.0262215
+0.0262215
+0.0263678
+0.0266474
+0.0270597
+0.0276324
+0.0283424
+0.0291839
+0.0301181
+0.0311468
+0.0322511
+0.0333916
+0.034618
+0.035082
+0.0351425
+0.0353385
+0.0356681
+0.0361279
+0.0367128
+0.0374125
+0.0382052
+0.0391047
+0.0400958
+0.0411776
+0.0423452
+0.0435917
+0.0449105
+0.0462952
+0.04773
+0.0492202
+0.0507611
+0.0523458
+0.0539648
+0.055623
+0.0572315
+0.0588758
+0.0605475
+0.0622498
+0.0639818
+0.0657412
+0.0675258
+0.0693337
+0.0711631
+0.0729369
+0.0745153
+0.0761242
+0.0777614
+0.07855
+0.0776113
+0.0767237
+0.075889
+0.0751089
+0.0743851
+0.0737164
+0.0730848
+0.072514
+0.0720053
+0.0715601
+0.0711795
+0.0708646
+0.0706164
+0.0704354
+0.0703168
+0.0702586
+0.0702687
+0.070347
+0.0704933
+0.0707073
+0.0709882
+0.0696779
+0.0678424
+0.0659516
+0.0640798
+0.0622289
+0.0604007
+0.0585973
+0.0568166
+0.0550571
+0.0533296
+0.0516373
+0.0499515
+0.0482747
+0.0466406
+0.0450537
+0.0434809
+0.0419314
+0.0404326
+0.0389993
+0.0376389
+0.0363468
+0.0351416
+0.0339825
+0.032915
+0.0318956
+0.0309462
+0.0301213
+0.0294086
+0.0288038
+0.0283345
+0.0280071
+0.0278371
+0.0278176
+0.0278979
+0.028129
+0.0285087
+0.0290366
+0.0296974
+0.0304666
+0.0313178
+0.032293
+0.033359
+0.0340963
+0.0339034
+0.0338515
+0.0339229
+0.0341258
+0.0344671
+0.0349426
+0.0355471
+0.0362737
+0.0371132
+0.0380415
+0.0390667
+0.0401774
+0.0413732
+0.0426481
+0.0439952
+0.0454079
+0.0468698
+0.0483865
+0.0499532
+0.0515654
+0.0532189
+0.0549036
+0.0565982
+0.0582604
+0.0599492
+0.061668
+0.0634159
+0.0651906
+0.0669899
+0.0688119
+0.0704769
+0.0720427
+0.0736403
+0.0752678
+0.0769233
+0.0790684
+0.078136
+0.0772544
+0.0764254
+0.0756509
+0.0749324
+0.0742714
+0.0736544
+0.073088
+0.0725833
+0.0721416
+0.0717641
+0.0714519
+0.0712056
+0.0710262
+0.0709139
+0.0708682
+0.0708781
+0.0709558
+0.0711009
+0.071313
+0.0715916
+0.0707595
+0.068879
+0.0670174
+0.0651762
+0.0633573
+0.0615627
+0.0597865
+0.0580344
+0.056313
+0.0546084
+0.0528978
+0.0512238
+0.04959
+0.0479539
+0.0463586
+0.0448106
+0.0433007
+0.041851
+0.0404679
+0.0391482
+0.0378962
+0.0366942
+0.0355675
+0.0344764
+0.0334561
+0.0325472
+0.0317353
+0.0310315
+0.0304421
+0.0299981
+0.0296798
+0.0294744
+0.02939
+0.0294497
+0.0296508
+0.0300031
+0.0304714
+0.0310714
+0.0317712
+0.0325863
+0.033525
+0.0333074
+0.0329644
+0.0327646
+0.0327107
+0.0327925
+0.0330024
+0.0333552
+0.0338463
+0.03447
+0.0352178
+0.0360819
+0.0370556
+0.0381134
+0.0392603
+0.0404933
+0.0417982
+0.0431718
+0.0446105
+0.0460978
+0.047639
+0.0492295
+0.0508647
+0.0525402
+0.0542481
+0.0559887
+0.0577216
+0.0594257
+0.0611593
+0.0629213
+0.0647069
+0.0665156
+0.068069
+0.06962
+0.0712046
+0.0728207
+0.0744661
+0.076139
+0.0796438
+0.0787181
+0.0778431
+0.0770205
+0.076252
+0.0755392
+0.0748752
+0.074266
+0.073714
+0.0732137
+0.0727758
+0.0724017
+0.0720922
+0.0718481
+0.0716703
+0.0715591
+0.0715148
+0.0715377
+0.0716265
+0.0717702
+0.0719803
+0.0722563
+0.0718208
+0.0699688
+0.068137
+0.0663269
+0.0645405
+0.0627688
+0.0610237
+0.0592954
+0.0575631
+0.0558605
+0.054183
+0.0525028
+0.0508616
+0.0492631
+0.0477116
+0.0461986
+0.0447354
+0.0433337
+0.0419913
+0.0406878
+0.0394525
+0.0382655
+0.0371166
+0.0360387
+0.0350636
+0.034175
+0.0333818
+0.0327077
+0.0321428
+0.0316934
+0.0313363
+0.0310954
+0.0309996
+0.0310338
+0.0312106
+0.0314939
+0.0319253
+0.0324909
+0.033162
+0.0334049
+0.0327714
+0.0322744
+0.0319203
+0.031714
+0.0316582
+0.0317539
+0.0319897
+0.0323535
+0.0328596
+0.0335017
+0.0342696
+0.0351571
+0.0361556
+0.0372564
+0.0384316
+0.0396904
+0.0410275
+0.0424358
+0.0439031
+0.0454151
+0.0469806
+0.0485939
+0.0502497
+0.0519452
+0.0536719
+0.0554307
+0.0572192
+0.0589726
+0.0607151
+0.0624858
+0.0642233
+0.065719
+0.0672528
+0.0688222
+0.0704248
+0.0720583
+0.0737208
+0.0754102
+0.0802748
+0.0793565
+0.0784886
+0.0776728
+0.0769108
+0.0761998
+0.0755377
+0.0749339
+0.0743897
+0.0739037
+0.07347
+0.0730993
+0.0727928
+0.0725511
+0.072375
+0.0722649
+0.072221
+0.0722437
+0.0723327
+0.0724876
+0.0726971
+0.0729703
+0.0729324
+0.0711095
+0.0693078
+0.0675266
+0.0657618
+0.0640125
+0.0622572
+0.0605303
+0.0588214
+0.0571096
+0.0554316
+0.0537905
+0.0521898
+0.0506332
+0.0491156
+0.0476413
+0.0462238
+0.044851
+0.0435208
+0.0422383
+0.0410116
+0.0398111
+0.0386842
+0.0376512
+0.0367071
+0.035846
+0.0350879
+0.0344118
+0.0338286
+0.0333711
+0.0329996
+0.0327488
+0.0326368
+0.0326456
+0.0327712
+0.033041
+0.0334525
+0.0339824
+0.0333056
+0.0325229
+0.0318719
+0.0313606
+0.0309961
+0.0307836
+0.0307261
+0.0308247
+0.0310777
+0.0314658
+0.0319859
+0.0326451
+0.0334351
+0.0343462
+0.0353686
+0.0364932
+0.0377115
+0.0389941
+0.0403543
+0.0417852
+0.0432782
+0.0448118
+0.0463977
+0.0480312
+0.0497075
+0.051421
+0.0531694
+0.0549495
+0.0567579
+0.0585879
+0.0603421
+0.0619576
+0.0634333
+0.0649472
+0.0664988
+0.0680856
+0.0697051
+0.0713551
+0.0730336
+0.0747386
+0.0809602
+0.0800497
+0.0791895
+0.078381
+0.0776254
+0.0769133
+0.0762575
+0.0756594
+0.0751205
+0.074642
+0.0742223
+0.0738554
+0.073552
+0.0733128
+0.0731385
+0.0730296
+0.0729862
+0.0730086
+0.0730967
+0.0732502
+0.0734686
+0.0737409
+0.0740751
+0.0722985
+0.0705212
+0.0687548
+0.0669773
+0.0652233
+0.0634877
+0.0617614
+0.0600535
+0.0583779
+0.0567374
+0.0551352
+0.0535746
+0.0520492
+0.0505655
+0.0491347
+0.0477335
+0.0463691
+0.0450649
+0.0437904
+0.0425605
+0.0413926
+0.0403099
+0.0393131
+0.038398
+0.0375452
+0.0367754
+0.0360956
+0.0355352
+0.0350357
+0.0346552
+0.0344061
+0.0342725
+0.0342781
+0.0343977
+0.0346549
+0.0344725
+0.0334588
+0.0325431
+0.0317481
+0.0310875
+0.03057
+0.030198
+0.0299798
+0.0299208
+0.030022
+0.0302666
+0.0306655
+0.0312135
+0.0318929
+0.0327011
+0.0336328
+0.034678
+0.0358268
+0.0370696
+0.0383951
+0.0397858
+0.041241
+0.0427544
+0.0443087
+0.045912
+0.0475621
+0.0492545
+0.0509832
+0.0527461
+0.05454
+0.0563619
+0.0582055
+0.0597655
+0.0612168
+0.0627099
+0.0642409
+0.0658092
+0.0674122
+0.0690475
+0.0707129
+0.0724062
+0.0741256
+0.0816969
+0.0807947
+0.0799425
+0.0791417
+0.0783872
+0.0776821
+0.0770328
+0.0764408
+0.0759074
+0.0754339
+0.0750214
+0.0746681
+0.074368
+0.0741315
+0.0739591
+0.0738514
+0.0738085
+0.0738306
+0.0739177
+0.0740695
+0.0742857
+0.0745655
+0.0748984
+0.073498
+0.0717042
+0.0699305
+0.0681785
+0.0664435
+0.0647151
+0.0630122
+0.0613392
+0.0596997
+0.0580965
+0.0565328
+0.0550009
+0.0535093
+0.0520651
+0.0506279
+0.0492462
+0.0479067
+0.0465964
+0.0453406
+0.0441522
+0.043025
+0.0419623
+0.0409893
+0.0400563
+0.0392136
+0.0384679
+0.0378113
+0.0372122
+0.0367237
+0.0363511
+0.0360919
+0.0359646
+0.0359669
+0.0360802
+0.0350143
+0.0338754
+0.0328433
+0.0319099
+0.0310988
+0.0304241
+0.0298951
+0.0295157
+0.0292924
+0.0292321
+0.029335
+0.0295847
+0.0299928
+0.0305529
+0.0312568
+0.032095
+0.0330486
+0.0341117
+0.035279
+0.0365405
+0.0378845
+0.0392932
+0.0407711
+0.0423108
+0.0438998
+0.0455266
+0.0471902
+0.0488954
+0.0506364
+0.052411
+0.054216
+0.0560484
+0.0576565
+0.0590784
+0.0605462
+0.0620554
+0.0636022
+0.0651858
+0.0668038
+0.0684537
+0.0701331
+0.0718402
+0.0735728
+0.0824792
+0.0815857
+0.0807418
+0.0799491
+0.0792023
+0.0785045
+0.077862
+0.0772764
+0.0767488
+0.0762806
+0.0758727
+0.0755261
+0.075239
+0.0750052
+0.0748349
+0.0747284
+0.074686
+0.0747079
+0.074794
+0.074944
+0.0751576
+0.0754342
+0.0757732
+0.0746603
+0.0728903
+0.0711437
+0.0694018
+0.067678
+0.065982
+0.0643133
+0.0626751
+0.0610714
+0.0595052
+0.0579678
+0.0564601
+0.0549739
+0.0535361
+0.0521183
+0.0507345
+0.0494091
+0.0481341
+0.0469194
+0.0457736
+0.0446694
+0.0436413
+0.0426446
+0.0417393
+0.0409226
+0.0401792
+0.0395119
+0.0389291
+0.0384477
+0.0380769
+0.0378296
+0.0377081
+0.0371552
+0.0358169
+0.0345658
+0.0334116
+0.0323647
+0.0314171
+0.0305929
+0.0299068
+0.0293685
+0.0289834
+0.028756
+0.0286945
+0.0287982
+0.0290525
+0.0294679
+0.0300378
+0.0307535
+0.0316051
+0.032582
+0.0336623
+0.0348446
+0.0361212
+0.0374825
+0.038918
+0.0404095
+0.0419625
+0.0435703
+0.045227
+0.0469149
+0.0486325
+0.0503826
+0.0521658
+0.053979
+0.0556401
+0.0570282
+0.0584654
+0.0599468
+0.0614685
+0.0630297
+0.0646273
+0.066259
+0.067922
+0.0696143
+0.0713338
+0.0730784
+0.0833119
+0.0824274
+0.0815922
+0.0808078
+0.0800691
+0.0793788
+0.0787435
+0.0781645
+0.077643
+0.0771801
+0.076777
+0.0764346
+0.0761537
+0.0759321
+0.0757639
+0.0756587
+0.0756168
+0.0756384
+0.0757234
+0.0758716
+0.0760826
+0.0763559
+0.0762087
+0.0744813
+0.0727787
+0.071103
+0.0694558
+0.0678395
+0.0662562
+0.0647082
+0.0631984
+0.0617293
+0.0603041
+0.0589258
+0.0575949
+0.0563169
+0.0549914
+0.0535923
+0.0522475
+0.0509611
+0.0497207
+0.0485458
+0.0473874
+0.0462995
+0.0452915
+0.0443376
+0.0434434
+0.0426236
+0.041884
+0.0412477
+0.0406724
+0.0402029
+0.0398484
+0.0396121
+0.0382904
+0.0368633
+0.035514
+0.0342518
+0.0330866
+0.032029
+0.0310713
+0.0302376
+0.0295433
+0.0289982
+0.0286094
+0.028379
+0.0283167
+0.0284205
+0.0286781
+0.0290989
+0.0296758
+0.0304001
+0.0312613
+0.0322486
+0.0333397
+0.0345331
+0.0358208
+0.0371931
+0.0386409
+0.0401561
+0.0417264
+0.043343
+0.0450081
+0.0467166
+0.0484581
+0.0502231
+0.0520118
+0.0537269
+0.055076
+0.0564742
+0.0579215
+0.0594143
+0.0609493
+0.0625234
+0.0641337
+0.0657776
+0.0674525
+0.0691563
+0.0708869
+0.0726422
+0.0841933
+0.0833182
+0.082492
+0.0817162
+0.080985
+0.0803027
+0.0796747
+0.0791025
+0.0785872
+0.07813
+0.0777318
+0.0773936
+0.0771161
+0.0769001
+0.0767381
+0.0766342
+0.0765929
+0.0766142
+0.0766982
+0.0768445
+0.0770528
+0.0773227
+0.0760689
+0.0743382
+0.0726323
+0.0709531
+0.0693024
+0.0676824
+0.0660953
+0.0645435
+0.0630297
+0.0615566
+0.0601273
+0.0587449
+0.0574097
+0.0561275
+0.0549028
+0.0537395
+0.0526417
+0.0516136
+0.0506595
+0.0497834
+0.0489898
+0.0479452
+0.046952
+0.0460232
+0.0451482
+0.0443426
+0.0436323
+0.0429983
+0.0424416
+0.0419918
+0.0412001
+0.0396358
+0.0381332
+0.0367
+0.0353444
+0.0340759
+0.0329045
+0.0318409
+0.0308773
+0.0300383
+0.0293393
+0.0287903
+0.0283999
+0.0281678
+0.028105
+0.0282083
+0.0284679
+0.0288918
+0.0294727
+0.0302018
+0.0310686
+0.0320618
+0.0331591
+0.0343587
+0.0356527
+0.0370312
+0.0384851
+0.0400062
+0.0415871
+0.0432212
+0.0448952
+0.0466078
+0.0483591
+0.0501449
+0.0519256
+0.0532263
+0.0545839
+0.0559944
+0.0574538
+0.0589584
+0.060505
+0.0620904
+0.0637117
+0.0653661
+0.0670514
+0.0687651
+0.0705052
+0.0722699
+0.0849333
+0.0842566
+0.0834397
+0.0826728
+0.0819473
+0.081273
+0.0806527
+0.0800874
+0.0795785
+0.079127
+0.0787338
+0.0783999
+0.0781261
+0.0779129
+0.0777559
+0.0776534
+0.0776126
+0.0776336
+0.0777165
+0.0778609
+0.0780665
+0.0777476
+0.075992
+0.0742595
+0.0725518
+0.0708706
+0.069218
+0.0675959
+0.0660067
+0.0644528
+0.0629368
+0.0614615
+0.06003
+0.0586453
+0.0573078
+0.0560233
+0.0547962
+0.0536306
+0.0525305
+0.0515002
+0.0505439
+0.0496658
+0.0488703
+0.0481613
+0.0475287
+0.0469891
+0.0465464
+0.0461012
+0.0454133
+0.0447799
+0.0442456
+0.0427912
+0.0411708
+0.0396053
+0.0381015
+0.036667
+0.0353103
+0.0340405
+0.0328678
+0.031803
+0.0308381
+0.0299978
+0.0292972
+0.0287467
+0.0283549
+0.028125
+0.0280621
+0.0281653
+0.0284255
+0.0288499
+0.0294317
+0.0301618
+0.0310297
+0.0320241
+0.0331226
+0.0343236
+0.0356189
+0.0369986
+0.0384537
+0.039976
+0.041558
+0.0431933
+0.0448759
+0.0465973
+0.0483491
+0.0501354
+0.0514966
+0.0528079
+0.054176
+0.0555968
+0.0570664
+0.058581
+0.0601373
+0.0617321
+0.0633625
+0.0650259
+0.0667197
+0.0684418
+0.0701899
+0.0719623
+0.0855526
+0.0852409
+0.0844335
+0.0836743
+0.0829563
+0.0822903
+0.0816776
+0.0811195
+0.0806171
+0.0801715
+0.0797835
+0.079454
+0.0791838
+0.0789734
+0.0788214
+0.0787203
+0.0786801
+0.0787009
+0.0787826
+0.078925
+0.0791279
+0.0777341
+0.0759782
+0.0742454
+0.0725373
+0.0708558
+0.0692028
+0.0675804
+0.0659909
+0.0644366
+0.0629202
+0.0614445
+0.0600125
+0.0586274
+0.0572895
+0.0560045
+0.0547771
+0.0536111
+0.0525106
+0.0514799
+0.0505232
+0.0496447
+0.0488488
+0.0481395
+0.0475067
+0.0469668
+0.0465238
+0.0461807
+0.0459396
+0.0458021
+0.0445412
+0.042875
+0.0412579
+0.0396959
+0.0381957
+0.0367649
+0.0354118
+0.0341458
+0.0329764
+0.0318939
+0.0309265
+0.0300877
+0.0293886
+0.0288394
+0.0284486
+0.0282192
+0.0281565
+0.0282615
+0.0285268
+0.0289559
+0.0295417
+0.0302749
+0.0311445
+0.0321361
+0.0332309
+0.034428
+0.0357196
+0.0370956
+0.038547
+0.0400658
+0.0416444
+0.0432763
+0.0449558
+0.0466744
+0.0484234
+0.0498734
+0.0511506
+0.0524777
+0.0538542
+0.0552833
+0.056761
+0.0582835
+0.0598476
+0.0614499
+0.0630876
+0.064758
+0.0664587
+0.0681873
+0.0699418
+0.0717203
+0.0862231
+0.085954
+0.085472
+0.0847194
+0.0840103
+0.0833527
+0.0827479
+0.0821971
+0.0817013
+0.0812616
+0.0808788
+0.0805538
+0.0802873
+0.0800799
+0.079932
+0.0798331
+0.0797934
+0.0798139
+0.0798945
+0.0800349
+0.0795588
+0.0777823
+0.0760275
+0.0742959
+0.072589
+0.0709087
+0.069257
+0.0676359
+0.0660477
+0.0644948
+0.0629798
+0.0615055
+0.060075
+0.0586913
+0.0573549
+0.0560715
+0.0548455
+0.053681
+0.052582
+0.0515527
+0.0505973
+0.0497202
+0.0489256
+0.0482174
+0.0475856
+0.0470465
+0.0466044
+0.0462618
+0.0460211
+0.0458839
+0.0447116
+0.0430521
+0.0414419
+0.0398871
+0.0383943
+0.0369712
+0.035626
+0.0343679
+0.0332042
+0.032127
+0.0311668
+0.0303347
+0.0296414
+0.0290969
+0.0287097
+0.0284813
+0.0284192
+0.0285243
+0.0287872
+0.0292125
+0.0297932
+0.0305204
+0.031384
+0.0323731
+0.0334764
+0.0346709
+0.0359537
+0.0373211
+0.0387641
+0.0402746
+0.0418454
+0.0434698
+0.0451421
+0.0468538
+0.0483759
+0.0495948
+0.050879
+0.0522234
+0.0536111
+0.0550465
+0.0565304
+0.058059
+0.0596289
+0.061237
+0.0628801
+0.0645535
+0.066257
+0.0679867
+0.0697412
+0.0715197
+0.0869436
+0.0866767
+0.0864645
+0.0858077
+0.0851076
+0.0844586
+0.0838618
+0.0833183
+0.0828293
+0.0823956
+0.0820181
+0.0816976
+0.0814349
+0.0812303
+0.0810845
+0.0809899
+0.0809508
+0.080971
+0.0810504
+0.0811889
+0.0796662
+0.0778922
+0.0761399
+0.0744109
+0.0727067
+0.0710292
+0.0693804
+0.0677622
+0.066177
+0.0646272
+0.0631154
+0.0616444
+0.0602171
+0.0588368
+0.0575038
+0.0562238
+0.0550012
+0.05384
+0.0527443
+0.0517183
+0.050766
+0.0498919
+0.0491
+0.0483944
+0.0477649
+0.0472279
+0.0467875
+0.0464463
+0.0462066
+0.0460699
+0.044985
+0.0433359
+0.0417367
+0.0401933
+0.0387124
+0.0373014
+0.0359685
+0.0347228
+0.0335715
+0.0325065
+0.0315578
+0.0307362
+0.0300522
+0.0295153
+0.0291337
+0.0289075
+0.0288463
+0.0289509
+0.02921
+0.0296292
+0.0302019
+0.0309195
+0.0317723
+0.0327496
+0.0338407
+0.035035
+0.0363073
+0.0376618
+0.0390923
+0.0405906
+0.0421496
+0.0437627
+0.0454242
+0.047035
+0.0481883
+0.0494119
+0.0507006
+0.0520409
+0.0534287
+0.0548689
+0.0563574
+0.0578906
+0.0594645
+0.061071
+0.0627117
+0.064385
+0.0660886
+0.0678201
+0.0695775
+0.0713589
+0.087713
+0.0874484
+0.0872381
+0.0869376
+0.0862467
+0.0856063
+0.0850175
+0.0844815
+0.0839992
+0.0835716
+0.0831994
+0.0828835
+0.0826245
+0.082423
+0.0822793
+0.0821888
+0.0821503
+0.0821702
+0.0822484
+0.0816242
+0.0798336
+0.0780634
+0.076315
+0.07459
+0.0728901
+0.0712169
+0.0695725
+0.0679589
+0.0663784
+0.0648334
+0.0633265
+0.0618605
+0.0604384
+0.0590633
+0.0577355
+0.0564607
+0.0552434
+0.0540874
+0.0529968
+0.0519757
+0.0510283
+0.0501545
+0.0493604
+0.0486521
+0.0480333
+0.0475076
+0.0470719
+0.0467328
+0.0464946
+0.0463587
+0.0453627
+0.0437278
+0.0421435
+0.0406155
+0.0391506
+0.037756
+0.0364397
+0.0352107
+0.0340759
+0.0330271
+0.0320938
+0.0312864
+0.0306146
+0.0300878
+0.0297125
+0.0294907
+0.0294308
+0.0295336
+0.0297883
+0.0301995
+0.0307616
+0.0314665
+0.0323048
+0.0332665
+0.0343412
+0.0355186
+0.0367742
+0.0381121
+0.0395263
+0.0410087
+0.0425524
+0.0441508
+0.0457982
+0.0469444
+0.0480895
+0.0492968
+0.0505702
+0.0519049
+0.0532962
+0.0547398
+0.0562318
+0.0577683
+0.0593459
+0.0609553
+0.0625989
+0.0642751
+0.0659815
+0.0677157
+0.0694758
+0.0712597
+0.0885299
+0.0882678
+0.0880594
+0.0879052
+0.0874258
+0.0867941
+0.0862134
+0.0856849
+0.0852094
+0.0847879
+0.0844211
+0.0841098
+0.0838546
+0.083656
+0.0835144
+0.083428
+0.08339
+0.0834096
+0.0834867
+0.0818462
+0.0800606
+0.0782955
+0.0765525
+0.0748329
+0.0731386
+0.0714713
+0.0698329
+0.0682254
+0.0666513
+0.0651127
+0.0636125
+0.0621532
+0.0607379
+0.0593698
+0.058049
+0.0567812
+0.0555709
+0.0544219
+0.0533345
+0.052314
+0.0513666
+0.0504966
+0.049708
+0.0490048
+0.0483905
+0.0478687
+0.0474377
+0.0471012
+0.0468648
+0.04673
+0.045842
+0.0442249
+0.042659
+0.0411502
+0.039705
+0.0383305
+0.0370347
+0.0358262
+0.0347114
+0.0336825
+0.0327679
+0.0319774
+0.0313205
+0.0308057
+0.0304383
+0.0302218
+0.0301633
+0.0302637
+0.0305133
+0.0309149
+0.0314642
+0.0321536
+0.0329745
+0.0339172
+0.0349719
+0.0361288
+0.0373638
+0.0386814
+0.0400755
+0.0415384
+0.043063
+0.0446432
+0.0458443
+0.046905
+0.0480422
+0.0492507
+0.0505252
+0.0518611
+0.0532535
+0.0546983
+0.0561913
+0.0577289
+0.0593076
+0.060918
+0.0625625
+0.0642397
+0.065947
+0.0676822
+0.0694431
+0.0712278
+0.089393
+0.0891334
+0.0889271
+0.0887743
+0.0886409
+0.0880179
+0.0874454
+0.0869244
+0.0864557
+0.0860403
+0.0856789
+0.0853721
+0.0851207
+0.0849251
+0.0847856
+0.0847026
+0.0846684
+0.0846877
+0.083925
+0.0821261
+0.0803467
+0.0785881
+0.0768516
+0.075139
+0.0734517
+0.0717916
+0.0701607
+0.068561
+0.0669947
+0.0654642
+0.0639722
+0.0625213
+0.0611146
+0.059755
+0.058443
+0.0571808
+0.0559735
+0.0548272
+0.0537457
+0.0527332
+0.0517935
+0.0509308
+0.050149
+0.049452
+0.0488434
+0.0483265
+0.0478996
+0.0475664
+0.0473323
+0.0471989
+0.0464199
+0.0448236
+0.0432794
+0.041793
+0.0403708
+0.0390198
+0.0377477
+0.0365627
+0.0354711
+0.0344648
+0.0335715
+0.0328005
+0.0321604
+0.0316593
+0.0313009
+0.0310904
+0.0310336
+0.0311311
+0.0313748
+0.0317655
+0.0323003
+0.0329723
+0.0337733
+0.0346943
+0.035726
+0.0368593
+0.0380706
+0.0393645
+0.0407352
+0.0421752
+0.0436777
+0.0449219
+0.0458994
+0.0469588
+0.0480948
+0.0493019
+0.0505752
+0.0519097
+0.0533009
+0.0547444
+0.0562363
+0.0577727
+0.0593502
+0.0609594
+0.0626029
+0.064279
+0.0659853
+0.0677195
+0.0694794
+0.0712633
+0.090301
+0.090044
+0.0898398
+0.0896886
+0.0895908
+0.0892734
+0.0887089
+0.0881954
+0.0877335
+0.0873241
+0.086968
+0.0866659
+0.0864182
+0.0862255
+0.0860882
+0.0860064
+0.0859804
+0.0860023
+0.0842506
+0.0824589
+0.0806868
+0.0789357
+0.0772071
+0.0755025
+0.0738236
+0.0721721
+0.0705499
+0.0689592
+0.0674022
+0.0658812
+0.0643988
+0.0629578
+0.061561
+0.0602104
+0.0589024
+0.0576479
+0.0564506
+0.0553141
+0.0542424
+0.0532393
+0.0523087
+0.0514547
+0.050681
+0.0499914
+0.0493894
+0.0488783
+0.0484562
+0.0481269
+0.0478956
+0.0477637
+0.0470927
+0.04552
+0.0440003
+0.0425391
+0.0411426
+0.0398179
+0.0385721
+0.0374132
+0.0363471
+0.0353658
+0.0344959
+0.0337459
+0.0331241
+0.0326378
+0.0322893
+0.0320853
+0.0320302
+0.0321248
+0.032362
+0.0327408
+0.03326
+0.033913
+0.0346922
+0.0355894
+0.036596
+0.0377031
+0.0388882
+0.0401557
+0.0415003
+0.0429146
+0.0441823
+0.0450846
+0.0460587
+0.0471145
+0.0482468
+0.0494503
+0.0507198
+0.0520507
+0.0534382
+0.0548781
+0.0563664
+0.0578993
+0.0594735
+0.0610794
+0.0627198
+0.0643929
+0.0660962
+0.0678276
+0.0695848
+0.071366
+0.0912526
+0.0909983
+0.0907962
+0.0906466
+0.0905498
+0.0905059
+0.090008
+0.0895019
+0.0890468
+0.0886435
+0.0882927
+0.0879951
+0.0877512
+0.0875615
+0.0874262
+0.0873457
+0.0873201
+0.0864274
+0.0846251
+0.0828414
+0.0810777
+0.0793353
+0.0776156
+0.0759201
+0.0742506
+0.0726088
+0.0709966
+0.0694162
+0.0678696
+0.0663594
+0.0648879
+0.063458
+0.0620725
+0.0607333
+0.0594367
+0.0581937
+0.0570079
+0.0558828
+0.0548222
+0.0538299
+0.0529097
+0.0520655
+0.051301
+0.0506199
+0.0500255
+0.0495209
+0.0491044
+0.0487794
+0.0485512
+0.0484211
+0.0478564
+0.0463097
+0.0448167
+0.043383
+0.0420146
+0.0407182
+0.0395009
+0.03837
+0.0373313
+0.0363765
+0.0355313
+0.0348037
+0.0342012
+0.0337304
+0.0333924
+0.0331952
+0.0331419
+0.0332333
+0.0334635
+0.0338301
+0.0343328
+0.0349657
+0.035722
+0.036594
+0.0375736
+0.0386527
+0.0398096
+0.0410487
+0.0423649
+0.043645
+0.0444713
+0.0453528
+0.0463212
+0.0473712
+0.0484975
+0.0496948
+0.0509583
+0.0522831
+0.0536646
+0.0550986
+0.0565811
+0.0581083
+0.059677
+0.0612776
+0.0629128
+0.0645809
+0.0662794
+0.0680061
+0.0697588
+0.0715357
+0.0922464
+0.0919949
+0.091795
+0.091647
+0.0915513
+0.0915078
+0.0913412
+0.0908425
+0.0903941
+0.0899969
+0.0896514
+0.0893584
+0.0891182
+0.0889313
+0.0887982
+0.0887189
+0.0885073
+0.0868478
+0.0850543
+0.0832798
+0.0815256
+0.079793
+0.0780833
+0.0763983
+0.0747394
+0.0731086
+0.0715077
+0.0699388
+0.0684041
+0.0669059
+0.0654467
+0.0640293
+0.0626564
+0.0613299
+0.0600463
+0.0588162
+0.0576431
+0.0565307
+0.0554825
+0.0545022
+0.0535936
+0.0527603
+0.052006
+0.0513342
+0.0507482
+0.0502509
+0.0498405
+0.0495203
+0.0492955
+0.0491674
+0.0487067
+0.0471879
+0.0457236
+0.0443193
+0.0429807
+0.0417143
+0.0405269
+0.0394255
+0.0384153
+0.0374882
+0.0366686
+0.035964
+0.0353812
+0.0349261
+0.0345992
+0.0344089
+0.0343575
+0.0344457
+0.0346687
+0.0350227
+0.0355085
+0.0361208
+0.0368534
+0.0376992
+0.0386509
+0.0397007
+0.0408278
+0.042037
+0.0432895
+0.0440178
+0.0448219
+0.0457049
+0.046666
+0.0477084
+0.048827
+0.0500164
+0.051272
+0.0525888
+0.0539625
+0.0553888
+0.0568637
+0.0583836
+0.059945
+0.0615448
+0.0631801
+0.0648424
+0.0665342
+0.0682545
+0.070001
+0.0717719
+0.093281
+0.0930323
+0.0928347
+0.0926884
+0.0925937
+0.0925508
+0.0925597
+0.0922157
+0.091774
+0.0913828
+0.0910426
+0.090754
+0.0905175
+0.0903336
+0.0902025
+0.0901244
+0.0886907
+0.0872417
+0.0855375
+0.0837733
+0.0820296
+0.0803078
+0.0786094
+0.0769359
+0.0752889
+0.0736702
+0.0720818
+0.0705257
+0.069004
+0.0675191
+0.0660735
+0.0646698
+0.0633108
+0.0619983
+0.0607288
+0.0595128
+0.0583538
+0.0572551
+0.0562204
+0.0552532
+0.0543571
+0.0535358
+0.0527926
+0.0521309
+0.0515539
+0.0510645
+0.0506607
+0.0503457
+0.0501246
+0.0499986
+0.0496393
+0.0481499
+0.0467157
+0.0453421
+0.0440347
+0.0427995
+0.041643
+0.0405719
+0.039591
+0.038692
+0.0378985
+0.0372172
+0.0366543
+0.0362144
+0.0358992
+0.0357158
+0.0356663
+0.0357513
+0.0359671
+0.0363083
+0.0367772
+0.0373687
+0.0380773
+0.0388966
+0.0398196
+0.0408394
+0.0419359
+0.0431016
+0.0437459
+0.0444668
+0.0452629
+0.0461494
+0.0471095
+0.0481423
+0.049251
+0.0504305
+0.0516759
+0.0529828
+0.0543465
+0.055763
+0.0572282
+0.0587387
+0.0602909
+0.0618818
+0.0635084
+0.0651665
+0.0668527
+0.0685675
+0.0703087
+0.0720739
+0.0943552
+0.0941094
+0.093914
+0.0937694
+0.0936758
+0.0936333
+0.0936422
+0.0936199
+0.0931849
+0.0927996
+0.0924646
+0.0921805
+0.0919477
+0.0917666
+0.0916376
+0.0904016
+0.0889266
+0.0874816
+0.08599
+0.0843207
+0.0825886
+0.0808788
+0.0791926
+0.0775317
+0.0758976
+0.0742922
+0.0727174
+0.0711751
+0.0696676
+0.0681972
+0.0667663
+0.0653774
+0.0640334
+0.0627361
+0.0614818
+0.060281
+0.059137
+0.0580532
+0.057033
+0.0560798
+0.0551972
+0.0543885
+0.0536571
+0.0530062
+0.0524389
+0.0519578
+0.0515609
+0.0512515
+0.0510343
+0.0509106
+0.0506494
+0.0491906
+0.0477877
+0.0464458
+0.0451703
+0.0439671
+0.0428421
+0.0418018
+0.0408504
+0.0399798
+0.0392123
+0.0385542
+0.0380112
+0.0375863
+0.0372827
+0.0371061
+0.0370585
+0.0371403
+0.0373489
+0.0376776
+0.0381296
+0.0387005
+0.0393852
+0.0401777
+0.041072
+0.0420614
+0.0431269
+0.0436701
+0.0443061
+0.045018
+0.0458046
+0.0466807
+0.0476416
+0.048671
+0.0497679
+0.0509354
+0.0521688
+0.0534636
+0.0548154
+0.05622
+0.0576737
+0.0591728
+0.0607139
+0.062294
+0.0639101
+0.065558
+0.0672345
+0.0689397
+0.0706717
+0.0724286
+0.0954676
+0.0952246
+0.0950315
+0.0948886
+0.0947961
+0.0947542
+0.0947629
+0.0948223
+0.0946256
+0.0942461
+0.0939163
+0.0936366
+0.0934074
+0.0932292
+0.0921849
+0.090686
+0.0892157
+0.0877755
+0.0863212
+0.0848254
+0.0832016
+0.0815046
+0.0798317
+0.0781843
+0.0765642
+0.074973
+0.0734128
+0.0718855
+0.0703932
+0.0689382
+0.067523
+0.0661501
+0.0648221
+0.0635409
+0.0623028
+0.0611181
+0.0599901
+0.058922
+0.0579171
+0.0569787
+0.0561102
+0.0553149
+0.0545959
+0.0539564
+0.0533991
+0.0529266
+0.0525339
+0.0522303
+0.0520172
+0.0518958
+0.0517327
+0.0503053
+0.0489344
+0.0476248
+0.0463817
+0.0452107
+0.0441175
+0.0431079
+0.042186
+0.0413435
+0.0406019
+0.0399667
+0.0394431
+0.039033
+0.0387407
+0.0385709
+0.038525
+0.0386037
+0.0388052
+0.0391217
+0.0395572
+0.0401078
+0.0407688
+0.041535
+0.0424006
+0.0433598
+0.0438138
+0.0443397
+0.0449662
+0.0456678
+0.0464433
+0.0473077
+0.0482561
+0.0492837
+0.0503749
+0.0515286
+0.0527482
+0.0540291
+0.055367
+0.056758
+0.0581983
+0.0596842
+0.0612124
+0.06278
+0.0643838
+0.06602
+0.067685
+0.0693792
+0.0711005
+0.072847
+0.0966169
+0.0963768
+0.096186
+0.0960448
+0.0959534
+0.095912
+0.0959206
+0.0959793
+0.0960878
+0.0957209
+0.0953962
+0.0951208
+0.0948952
+0.0940365
+0.0925158
+0.0910223
+0.0895576
+0.0881229
+0.0866969
+0.0852175
+0.0837592
+0.0821841
+0.0805253
+0.0788924
+0.0772871
+0.0757112
+0.0741665
+0.072655
+0.0711788
+0.0697403
+0.0683417
+0.0669855
+0.0656744
+0.0644102
+0.0631891
+0.0620214
+0.0609101
+0.0598584
+0.0588695
+0.0579465
+0.0570927
+0.0563113
+0.0556052
+0.0549774
+0.0544306
+0.053964
+0.0535789
+0.0532812
+0.0530724
+0.0529534
+0.0528845
+0.0514891
+0.0501505
+0.0488735
+0.0476631
+0.0465243
+0.0454627
+0.0444837
+0.0435909
+0.0427761
+0.0420597
+0.0414468
+0.0409421
+0.0405464
+0.0402652
+0.0401018
+0.0400577
+0.0401334
+0.040328
+0.0406327
+0.0410521
+0.0415829
+0.0422209
+0.0429612
+0.0437986
+0.0441748
+0.0445889
+0.0451057
+0.0457218
+0.046412
+0.0471753
+0.0480265
+0.0489609
+0.049974
+0.051061
+0.0522071
+0.0534112
+0.0546765
+0.055999
+0.0573747
+0.0587998
+0.0602709
+0.0617847
+0.063338
+0.0649281
+0.0665509
+0.0682029
+0.0698845
+0.0715937
+0.0733285
+0.0978017
+0.0975645
+0.0973761
+0.0972366
+0.0971463
+0.0971054
+0.097114
+0.0971719
+0.0972779
+0.0972227
+0.096903
+0.0966319
+0.0959515
+0.0944117
+0.0928971
+0.0914099
+0.0899514
+0.0885232
+0.087125
+0.0856541
+0.0842059
+0.0827878
+0.081272
+0.0796544
+0.0780648
+0.0765049
+0.0749766
+0.0734818
+0.0720226
+0.0706012
+0.06922
+0.0678814
+0.066588
+0.0653414
+0.064138
+0.0629879
+0.061894
+0.0608593
+0.0598869
+0.0589798
+0.0581412
+0.057374
+0.0566812
+0.0560655
+0.0555294
+0.055069
+0.0546917
+0.0544002
+0.0541956
+0.0540791
+0.0540512
+0.0527374
+0.0514313
+0.0501869
+0.0490089
+0.0479022
+0.0468717
+0.0459228
+0.0450585
+0.0442707
+0.0435789
+0.0429877
+0.0425013
+0.0421195
+0.0418488
+0.0416917
+0.0416493
+0.041722
+0.0419093
+0.0422033
+0.0426073
+0.0431189
+0.0437345
+0.0444496
+0.0447338
+0.0450364
+0.0454426
+0.0459499
+0.0465547
+0.0472461
+0.0479961
+0.048833
+0.0497523
+0.0507496
+0.0518204
+0.0529602
+0.0541547
+0.0554031
+0.0567086
+0.0580675
+0.0594761
+0.0609308
+0.0624285
+0.0639663
+0.0655411
+0.0671491
+0.0687867
+0.0704544
+0.0721501
+0.0738718
+0.0990208
+0.0987866
+0.0986004
+0.0984627
+0.0983736
+0.0983332
+0.0983416
+0.0983898
+0.0984863
+0.0986313
+0.0984355
+0.0979203
+0.096369
+0.0948361
+0.0933283
+0.0918481
+0.0903967
+0.0889756
+0.0875862
+0.0861431
+0.0847032
+0.0832936
+0.0819183
+0.0804689
+0.0788957
+0.0773526
+0.0758413
+0.0743639
+0.0729224
+0.0715189
+0.0701557
+0.0688353
+0.0675602
+0.0663318
+0.0651468
+0.0640148
+0.0629387
+0.0619215
+0.060966
+0.0600753
+0.0592522
+0.0584996
+0.0578202
+0.0572168
+0.0566894
+0.0562377
+0.0558683
+0.0555829
+0.0553827
+0.0552687
+0.0552415
+0.0540443
+0.0527706
+0.0515586
+0.0504126
+0.0493374
+0.0483376
+0.0474179
+0.0465822
+0.045821
+0.0451508
+0.0445767
+0.0441039
+0.0437359
+0.0434752
+0.043324
+0.0432832
+0.0433532
+0.0435335
+0.0438226
+0.0442163
+0.0447096
+0.0453035
+0.045496
+0.0456886
+0.0459848
+0.0463828
+0.0468799
+0.0474729
+0.0481584
+0.0489014
+0.0497231
+0.0506262
+0.0516066
+0.05266
+0.053782
+0.0549684
+0.0562055
+0.057493
+0.0588338
+0.0602244
+0.0616615
+0.0631419
+0.0646627
+0.066221
+0.0678128
+0.0694348
+0.0710873
+0.0727682
+0.0744757
+0.100273
+0.100042
+0.0998579
+0.0997219
+0.0996339
+0.0995868
+0.0995858
+0.0996329
+0.0997282
+0.0998714
+0.0999464
+0.0983783
+0.0968343
+0.0953089
+0.0938087
+0.0923362
+0.0908926
+0.0894793
+0.0880979
+0.0866848
+0.085254
+0.0838536
+0.0824877
+0.0811579
+0.0797782
+0.0782524
+0.0767589
+0.0752995
+0.0738762
+0.0724912
+0.0711467
+0.069845
+0.0685886
+0.067379
+0.0662127
+0.0650993
+0.0640414
+0.063042
+0.0621038
+0.0612296
+0.0604222
+0.0596843
+0.0590186
+0.0584275
+0.0579083
+0.0574662
+0.0571047
+0.0568255
+0.0566298
+0.0565183
+0.0564916
+0.055401
+0.0541592
+0.052979
+0.0518644
+0.0508199
+0.0498498
+0.0489586
+0.0481455
+0.0474054
+0.0467563
+0.046202
+0.045746
+0.0453913
+0.0451403
+0.0449946
+0.0449553
+0.0450227
+0.0451963
+0.0454749
+0.0458566
+0.0463388
+0.0464483
+0.0465383
+0.0467266
+0.0470163
+0.0474056
+0.0478921
+0.0484727
+0.0491442
+0.0498865
+0.0506922
+0.0515784
+0.0525411
+0.053576
+0.0546792
+0.0558466
+0.0570647
+0.0583366
+0.0596618
+0.061035
+0.0624535
+0.0639155
+0.0654183
+0.066959
+0.0685352
+0.0701443
+0.0717815
+0.0734465
+0.0751386
+0.101557
+0.101329
+0.101147
+0.101007
+0.100911
+0.100863
+0.100862
+0.100908
+0.101002
+0.101144
+0.100435
+0.0988826
+0.0973467
+0.0958294
+0.0943376
+0.0928734
+0.0914383
+0.0900336
+0.0886608
+0.0872735
+0.0858571
+0.0844668
+0.0831109
+0.0817913
+0.0805096
+0.0792027
+0.0777274
+0.0762865
+0.074882
+0.0735159
+0.0721905
+0.070908
+0.0696708
+0.0684803
+0.0673331
+0.0662385
+0.0651991
+0.0642177
+0.0632969
+0.0624394
+0.0616479
+0.0609249
+0.0602729
+0.059693
+0.0591832
+0.0587507
+0.0583972
+0.0581242
+0.0579328
+0.0578238
+0.0577978
+0.0568098
+0.0555995
+0.0544505
+0.0533666
+0.0523521
+0.0514109
+0.0505473
+0.0497507
+0.0490348
+0.0484076
+0.0478724
+0.0474325
+0.0470905
+0.0468486
+0.0467082
+0.0466704
+0.0467353
+0.0469026
+0.0471711
+0.0475392
+0.0475672
+0.0475695
+0.0476586
+0.0478425
+0.0481255
+0.0485059
+0.0489814
+0.0495493
+0.0502064
+0.0509352
+0.051736
+0.0526047
+0.0535489
+0.0545647
+0.0556483
+0.0567958
+0.0579939
+0.0592459
+0.0605512
+0.0619065
+0.0633087
+0.0647516
+0.0662354
+0.0677576
+0.0693155
+0.070907
+0.0725296
+0.0741815
+0.0758589
+0.102872
+0.102642
+0.102454
+0.102312
+0.102218
+0.10217
+0.102169
+0.102215
+0.102307
+0.102447
+0.100968
+0.0994274
+0.0979054
+0.096397
+0.094914
+0.0934589
+0.0920329
+0.0906375
+0.089274
+0.0879067
+0.0865116
+0.0851319
+0.0837868
+0.082478
+0.0812072
+0.0799761
+0.0787449
+0.077323
+0.0759376
+0.0745909
+0.0732849
+0.0720219
+0.0708042
+0.0696331
+0.0685052
+0.0674296
+0.0664089
+0.0654456
+0.0645423
+0.0637016
+0.0629259
+0.0622178
+0.0615795
+0.0610093
+0.0605106
+0.0600876
+0.059742
+0.0594752
+0.0592882
+0.0591817
+0.0591562
+0.0582669
+0.0570875
+0.055969
+0.0549152
+0.0539298
+0.0530167
+0.0521747
+0.0513992
+0.0507066
+0.0501003
+0.0495834
+0.0491588
+0.0488289
+0.0485956
+0.0484603
+0.0484238
+0.0484864
+0.0486477
+0.0489066
+0.0488573
+0.0487612
+0.0487634
+0.0488515
+0.0490309
+0.0493071
+0.0496784
+0.0501428
+0.0506977
+0.0513397
+0.0520486
+0.0528389
+0.0537007
+0.054626
+0.0556221
+0.0566855
+0.0578124
+0.0589899
+0.0602211
+0.0615058
+0.0628405
+0.0642223
+0.0656481
+0.0671141
+0.0686168
+0.0701557
+0.0717285
+0.073333
+0.0749671
+0.0766291
+0.104205
+0.103973
+0.103787
+0.103647
+0.103554
+0.103506
+0.103505
+0.103551
+0.103643
+0.1031
+0.101545
+0.100013
+0.0985068
+0.0970107
+0.0955373
+0.0940918
+0.0926755
+0.0912899
+0.0899363
+0.0885895
+0.087209
+0.0858478
+0.0845141
+0.0832167
+0.0819573
+0.0807378
+0.0795598
+0.078407
+0.0770411
+0.0757141
+0.0744278
+0.0731845
+0.0719864
+0.0708349
+0.0697264
+0.06867
+0.0676679
+0.0667228
+0.0658371
+0.0650131
+0.0642533
+0.06356
+0.062935
+0.0623747
+0.061887
+0.0614735
+0.0611358
+0.0608751
+0.0606924
+0.0605884
+0.0605635
+0.0597688
+0.0586197
+0.057531
+0.0565063
+0.0555491
+0.054663
+0.0538381
+0.0530869
+0.0524166
+0.0518303
+0.0513308
+0.0509208
+0.0506024
+0.0503773
+0.0502468
+0.0502116
+0.050272
+0.0504275
+0.0502937
+0.0501163
+0.0500226
+0.0500248
+0.0501118
+0.0502867
+0.050556
+0.0509183
+0.0513715
+0.0519132
+0.052536
+0.0532289
+0.054002
+0.0548516
+0.0557683
+0.0567445
+0.0577872
+0.058893
+0.0600493
+0.0612593
+0.0625226
+0.0638361
+0.0651967
+0.0666017
+0.0680481
+0.0695335
+0.0710534
+0.0726067
+0.0741923
+0.0758079
+0.0774519
+0.105561
+0.105333
+0.105149
+0.105011
+0.104919
+0.104872
+0.104871
+0.104916
+0.105006
+0.103711
+0.102165
+0.100643
+0.0991464
+0.0976697
+0.0962063
+0.0947711
+0.0933651
+0.0919899
+0.0906447
+0.089315
+0.0879519
+0.0866132
+0.0852915
+0.0840061
+0.0827587
+0.0815511
+0.0803851
+0.0792625
+0.0781852
+0.0768832
+0.0756168
+0.0743934
+0.0732151
+0.0720832
+0.0709943
+0.069957
+0.0689736
+0.0680467
+0.0671784
+0.0663711
+0.065627
+0.0649483
+0.0643342
+0.0637862
+0.0633094
+0.0629053
+0.0625753
+0.0623206
+0.0621421
+0.0620405
+0.0620162
+0.0613123
+0.0601925
+0.0591328
+0.0581364
+0.0572065
+0.0563418
+0.0555381
+0.0548102
+0.0541612
+0.053594
+0.0531111
+0.052715
+0.0524074
+0.0521901
+0.0520642
+0.0520303
+0.0520885
+0.0518712
+0.051613
+0.0514379
+0.0513466
+0.0513487
+0.0514337
+0.0516041
+0.0518666
+0.0522197
+0.0526617
+0.0531903
+0.0537949
+0.0544718
+0.0552274
+0.0560585
+0.0569618
+0.0579213
+0.0589432
+0.0600277
+0.0611689
+0.0623571
+0.0635986
+0.0648903
+0.0662293
+0.0676128
+0.0690381
+0.0705027
+0.0720041
+0.0735398
+0.0751057
+0.0767021
+0.0783273
+0.106945
+0.10672
+0.106539
+0.106403
+0.106311
+0.106265
+0.106264
+0.106308
+0.105918
+0.104359
+0.102823
+0.101311
+0.0998244
+0.0983638
+0.0969203
+0.0954958
+0.0941007
+0.0927363
+0.0913918
+0.0900731
+0.0887426
+0.0874194
+0.0861176
+0.0848447
+0.0836098
+0.0824147
+0.0812611
+0.0801508
+0.0790855
+0.0780502
+0.07685
+0.0756465
+0.074488
+0.0733758
+0.0723063
+0.071288
+0.0703234
+0.0694144
+0.0685634
+0.0677726
+0.0670441
+0.0663799
+0.0657766
+0.0652408
+0.0647746
+0.0643797
+0.0640573
+0.0638085
+0.0636342
+0.063535
+0.0635113
+0.0628941
+0.0618031
+0.0607714
+0.0598023
+0.0588987
+0.0580511
+0.0572714
+0.0565659
+0.0559373
+0.0553882
+0.0549211
+0.0545381
+0.0542409
+0.054031
+0.0539094
+0.0538766
+0.0535816
+0.0532416
+0.0529901
+0.0528172
+0.0527284
+0.0527304
+0.0528098
+0.0529758
+0.0532316
+0.0535757
+0.0540066
+0.0545222
+0.0551121
+0.0557731
+0.0565113
+0.0573238
+0.0582074
+0.05915
+0.0601511
+0.0612142
+0.0623362
+0.0635116
+0.0647309
+0.0660005
+0.0673174
+0.068679
+0.0700826
+0.0715258
+0.0730062
+0.0745215
+0.0760698
+0.0776478
+0.0792536
+0.108356
+0.108133
+0.107955
+0.10782
+0.10773
+0.107685
+0.107684
+0.107728
+0.106598
+0.105049
+0.103523
+0.102021
+0.100545
+0.0990951
+0.0976728
+0.0962649
+0.0948811
+0.0935249
+0.0921848
+0.0908777
+0.0895799
+0.0882693
+0.0869875
+0.0857276
+0.0845056
+0.0833234
+0.0821825
+0.0810848
+0.080032
+0.0790121
+0.0780196
+0.0769415
+0.0758029
+0.0747102
+0.0736601
+0.0726608
+0.0717146
+0.0708235
+0.0699897
+0.0692152
+0.068502
+0.0678501
+0.0672594
+0.0667355
+0.0662799
+0.065894
+0.065579
+0.065336
+0.0651658
+0.065069
+0.0650458
+0.0645116
+0.0634483
+0.0624439
+0.0615011
+0.0606184
+0.0597919
+0.0590352
+0.058351
+0.0577418
+0.0572101
+0.056758
+0.0563874
+0.0561
+0.0558971
+0.0557795
+0.0554125
+0.0549967
+0.0546655
+0.0544205
+0.05425
+0.0541635
+0.0541655
+0.0542396
+0.0544012
+0.0546503
+0.0549855
+0.0554055
+0.0559081
+0.0564836
+0.0571287
+0.0578496
+0.0586436
+0.0595076
+0.0604333
+0.0614134
+0.062455
+0.0635551
+0.0647107
+0.0659166
+0.0671638
+0.0684583
+0.0697976
+0.0711792
+0.0726006
+0.0740595
+0.0755537
+0.0770813
+0.0786399
+0.0802259
+0.109792
+0.109573
+0.109396
+0.109264
+0.109175
+0.10913
+0.109129
+0.108879
+0.107318
+0.105779
+0.104264
+0.102773
+0.101308
+0.0998691
+0.0984579
+0.0970758
+0.0957014
+0.0943506
+0.0930228
+0.0917275
+0.0904626
+0.0891649
+0.0879022
+0.0866555
+0.0854469
+0.0842778
+0.0831501
+0.0820653
+0.0810252
+0.0800224
+0.0790426
+0.0781119
+0.0771575
+0.0760843
+0.0750534
+0.0740729
+0.073145
+0.0722716
+0.0714546
+0.0706961
+0.069998
+0.0693578
+0.0687801
+0.0682678
+0.0678225
+0.0674454
+0.0671377
+0.0669004
+0.0667342
+0.0666396
+0.066617
+0.066162
+0.0651257
+0.0641476
+0.0632302
+0.0623644
+0.0615614
+0.0608267
+0.0601628
+0.0595722
+0.059057
+0.0586191
+0.0582604
+0.0579823
+0.057786
+0.0573525
+0.0568664
+0.0564613
+0.0561388
+0.0559003
+0.0557321
+0.0556479
+0.0556473
+0.0557188
+0.0558762
+0.0561187
+0.0564452
+0.0568544
+0.0573443
+0.0579055
+0.058535
+0.0592388
+0.0600144
+0.060859
+0.0617676
+0.0627269
+0.063747
+0.0648252
+0.0659585
+0.0671442
+0.0683775
+0.0696495
+0.0709663
+0.0723256
+0.0737248
+0.0751619
+0.0766347
+0.0781411
+0.079679
+0.0812447
+0.111253
+0.111037
+0.110863
+0.110732
+0.110644
+0.1106
+0.110599
+0.109627
+0.108077
+0.10655
+0.105046
+0.103566
+0.102112
+0.100685
+0.0992852
+0.0979147
+0.0965577
+0.0952194
+0.0939043
+0.0926214
+0.091373
+0.0901049
+0.0888561
+0.0876285
+0.0864334
+0.0852779
+0.0841635
+0.083092
+0.0820649
+0.0810793
+0.0801124
+0.0791943
+0.0783267
+0.077496
+0.0764841
+0.0755222
+0.0746123
+0.0737562
+0.0729559
+0.0722132
+0.0715288
+0.0709011
+0.0703361
+0.0698353
+0.0694
+0.0690315
+0.068731
+0.0684992
+0.0683368
+0.0682445
+0.0682224
+0.0678431
+0.0668329
+0.0658801
+0.0649828
+0.0641378
+0.0633572
+0.0626436
+0.0619992
+0.0614262
+0.0609267
+0.0605024
+0.0601549
+0.0598856
+0.0593907
+0.05884
+0.0583664
+0.0579717
+0.0576576
+0.0574252
+0.0572597
+0.0571777
+0.0571741
+0.0572437
+0.0573968
+0.0576329
+0.057951
+0.0583496
+0.0588271
+0.0593743
+0.0599883
+0.0606752
+0.0614327
+0.062258
+0.0631486
+0.0640883
+0.0650871
+0.0661435
+0.0672546
+0.0684178
+0.0696306
+0.0708883
+0.0721826
+0.0735193
+0.0748963
+0.0763113
+0.0777623
+0.0792473
+0.0807642
+0.0823092
+0.112738
+0.112524
+0.112352
+0.112223
+0.112137
+0.112093
+0.111975
+0.110414
+0.108876
+0.107359
+0.105867
+0.104399
+0.102957
+0.101541
+0.100154
+0.0987951
+0.0974557
+0.09613
+0.0948283
+0.093558
+0.0923223
+0.0910879
+0.0898527
+0.0886449
+0.0874637
+0.0863219
+0.0852212
+0.0841632
+0.0831468
+0.0821721
+0.0812273
+0.0803219
+0.0794584
+0.0786421
+0.0778655
+0.0770066
+0.0761144
+0.0752754
+0.0744914
+0.0737642
+0.073092
+0.0724778
+0.0719252
+0.0714355
+0.0710101
+0.07065
+0.0703563
+0.0701299
+0.0699713
+0.0698811
+0.0698596
+0.0695525
+0.0685675
+0.0676391
+0.0667585
+0.0659362
+0.0651772
+0.0644837
+0.0638579
+0.0633017
+0.0628171
+0.0624056
+0.0620688
+0.0615176
+0.0609073
+0.0603704
+0.0599089
+0.0595244
+0.0592186
+0.0589902
+0.0588292
+0.0587494
+0.0587428
+0.0588106
+0.0589597
+0.0591896
+0.0594993
+0.0598876
+0.0603529
+0.0608864
+0.0614853
+0.0621557
+0.0628953
+0.0637017
+0.0645724
+0.0654947
+0.0664724
+0.0675071
+0.0685961
+0.069737
+0.0709272
+0.0721642
+0.073444
+0.0747582
+0.0761128
+0.0775056
+0.0789347
+0.080398
+0.0818936
+0.0834176
+0.114245
+0.114034
+0.113865
+0.113737
+0.113652
+0.113609
+0.112787
+0.111238
+0.109711
+0.108206
+0.106725
+0.105269
+0.103839
+0.102436
+0.101061
+0.0997146
+0.0983943
+0.0970815
+0.0957934
+0.0945362
+0.0933134
+0.0921125
+0.0908912
+0.0897033
+0.0885362
+0.0874085
+0.0863216
+0.0852752
+0.0842681
+0.0833065
+0.0823786
+0.0814852
+0.0806323
+0.0798279
+0.0790567
+0.0783233
+0.0776447
+0.076827
+0.076059
+0.0753465
+0.0746867
+0.0740858
+0.0735452
+0.0730664
+0.0726505
+0.0722986
+0.0720116
+0.0717904
+0.0716356
+0.0715475
+0.0715264
+0.0712883
+0.0703276
+0.0694186
+0.0685582
+0.0677577
+0.0670194
+0.0663452
+0.0657371
+0.0651969
+0.0647265
+0.0643272
+0.0637171
+0.0630591
+0.0624639
+0.0619405
+0.0614908
+0.0611163
+0.0608184
+0.0605941
+0.0604373
+0.0603597
+0.0603504
+0.0604163
+0.0605615
+0.0607853
+0.0610869
+0.0614652
+0.0619187
+0.0624388
+0.0630229
+0.0636772
+0.0643993
+0.0651871
+0.0660382
+0.0669433
+0.0679001
+0.0689134
+0.0699805
+0.0710992
+0.0722669
+0.0734815
+0.0747405
+0.0760401
+0.0773722
+0.0787427
+0.0801498
+0.0815913
+0.0830654
+0.0845683
+0.115775
+0.115566
+0.115399
+0.115273
+0.115189
+0.115147
+0.113634
+0.112096
+0.110581
+0.109089
+0.10762
+0.106176
+0.104758
+0.103368
+0.102005
+0.100672
+0.0993685
+0.0980726
+0.0967986
+0.0955545
+0.0943449
+0.0931712
+0.0919702
+0.0907999
+0.0896494
+0.0885359
+0.0874616
+0.0864245
+0.085431
+0.0844826
+0.0835677
+0.0826872
+0.0818479
+0.0810556
+0.0802901
+0.079568
+0.0789002
+0.0782879
+0.0776568
+0.0769569
+0.076311
+0.0757229
+0.0751942
+0.0747259
+0.0743193
+0.0739753
+0.0736949
+0.0734788
+0.0733274
+0.0732414
+0.0732208
+0.0730485
+0.0721112
+0.0712184
+0.07038
+0.0696006
+0.0688819
+0.0682261
+0.0676349
+0.0671101
+0.0666532
+0.065977
+0.0652757
+0.0646381
+0.0640576
+0.0635473
+0.063109
+0.0627442
+0.0624541
+0.0622338
+0.0620811
+0.0620055
+0.0619937
+0.0620578
+0.0621992
+0.0624171
+0.0627109
+0.0630794
+0.0635214
+0.0640285
+0.0645983
+0.0652367
+0.0659418
+0.0667114
+0.0675432
+0.0684313
+0.0693676
+0.0703598
+0.0714053
+0.072502
+0.0736475
+0.0748396
+0.0760762
+0.077355
+0.0786725
+0.0800207
+0.0814057
+0.0828254
+0.0842778
+0.0857596
+0.0947592
+0.0929297
+0.0911161
+0.0893195
+0.0875408
+0.0857811
+0.0840417
+0.0823239
+0.080629
+0.0789585
+0.077314
+0.0756969
+0.0741066
+0.0725469
+0.0710206
+0.0695297
+0.0680768
+0.0666641
+0.0652916
+0.0639573
+0.0626711
+0.0614362
+0.0602556
+0.0591326
+0.0580706
+0.0570729
+0.0561431
+0.0552844
+0.0545004
+0.0537941
+0.0531689
+0.0526274
+0.0521724
+0.0518061
+0.0515304
+0.0513468
+0.0512538
+0.0512387
+0.0513171
+0.0514888
+0.0517526
+0.0521073
+0.0525511
+0.0530815
+0.0536962
+0.0543923
+0.0551666
+0.0560159
+0.0569369
+0.0579261
+0.0589802
+0.0600851
+0.0612456
+0.0624613
+0.0637292
+0.0650462
+0.0664093
+0.0678159
+0.0692631
+0.0707486
+0.07227
+0.0738251
+0.0754111
+0.0770259
+0.0786684
+0.0803372
+0.0820305
+0.0837469
+0.085485
+0.0872434
+0.089021
+0.0908167
+0.0926294
+0.0944581
+0.0963019
+0.0981599
+0.100031
+0.101819
+0.103439
+0.10508
+0.106741
+0.10842
+0.10997
+0.111371
+0.112797
+0.114247
+0.115173
+0.115685
+0.116236
+0.116826
+0.117453
+0.118118
+0.11882
+0.119557
+0.12033
+0.121137
+0.121962
+0.122786
+0.12364
+0.124431
+0.0938697
+0.0920225
+0.0901907
+0.0883752
+0.0865771
+0.0847975
+0.0830375
+0.0812984
+0.0795817
+0.0778887
+0.0762211
+0.0745806
+0.072969
+0.0713882
+0.0698397
+0.0683242
+0.0668462
+0.0654078
+0.0640083
+0.0626466
+0.061333
+0.0600706
+0.0588626
+0.0577125
+0.0566239
+0.0556003
+0.0546453
+0.0537628
+0.0529562
+0.0522291
+0.0515848
+0.0510266
+0.0505571
+0.0501791
+0.0498944
+0.0497047
+0.0496111
+0.0496118
+0.0496928
+0.04987
+0.0501424
+0.0505084
+0.0509661
+0.0515129
+0.0521461
+0.0528625
+0.0536589
+0.0545317
+0.0554773
+0.0564921
+0.0575725
+0.0587039
+0.0598911
+0.0611338
+0.0624287
+0.0637725
+0.0651623
+0.0665952
+0.0680684
+0.0695794
+0.0711258
+0.0727053
+0.0743153
+0.0759533
+0.0776186
+0.0793095
+0.0810243
+0.0827615
+0.0845198
+0.086298
+0.0880947
+0.0899088
+0.0917394
+0.0935855
+0.0954462
+0.0973206
+0.0991641
+0.10078
+0.102417
+0.104074
+0.105589
+0.106957
+0.108352
+0.109773
+0.11122
+0.11269
+0.114042
+0.114559
+0.115116
+0.115711
+0.116344
+0.117015
+0.117723
+0.118468
+0.119248
+0.120062
+0.120897
+0.121704
+0.122463
+0.123254
+0.0930233
+0.0911589
+0.0893094
+0.0874756
+0.0856586
+0.0838595
+0.0820794
+0.0803196
+0.0785815
+0.0768665
+0.0751763
+0.0735124
+0.0718768
+0.0702715
+0.0686978
+0.0671566
+0.0656522
+0.0641875
+0.062765
+0.0613862
+0.060045
+0.0587549
+0.0575193
+0.0563418
+0.0552262
+0.0541761
+0.0531957
+0.0522886
+0.051459
+0.0507104
+0.0500466
+0.049471
+0.0489866
+0.0485963
+0.0483023
+0.0481064
+0.0480097
+0.0480129
+0.0481134
+0.0482964
+0.0485776
+0.0489553
+0.0494274
+0.049991
+0.0506432
+0.0513806
+0.0521996
+0.0530964
+0.0540672
+0.0551079
+0.0562149
+0.0573731
+0.0585873
+0.059857
+0.0611789
+0.0625496
+0.063966
+0.0654251
+0.0669241
+0.0684603
+0.0700314
+0.0716351
+0.0732686
+0.0749295
+0.0766171
+0.0783295
+0.0800653
+0.0818229
+0.083601
+0.0853982
+0.0872135
+0.0890456
+0.0908936
+0.0927565
+0.0946335
+0.0965237
+0.098146
+0.0997783
+0.101253
+0.102586
+0.103948
+0.105337
+0.106754
+0.108196
+0.109663
+0.111154
+0.112668
+0.113464
+0.114026
+0.114627
+0.115266
+0.115944
+0.116658
+0.117409
+0.118189
+0.118925
+0.119697
+0.120504
+0.121273
+0.122072
+0.0922211
+0.0903402
+0.0884736
+0.0866221
+0.0847869
+0.0829688
+0.0811692
+0.0793892
+0.0776303
+0.0758938
+0.0741814
+0.0724947
+0.0708356
+0.0692061
+0.0676076
+0.066041
+0.0645107
+0.0630193
+0.0615699
+0.0601652
+0.0588087
+0.0574926
+0.0562293
+0.0550242
+0.0538813
+0.0528045
+0.0517981
+0.0508662
+0.0500129
+0.0492423
+0.0485585
+0.047965
+0.0474653
+0.0470624
+0.0467587
+0.0465563
+0.0464564
+0.0464597
+0.0465661
+0.0467725
+0.0470628
+0.0474526
+0.0479394
+0.0485203
+0.0491921
+0.0499509
+0.0507929
+0.0517141
+0.0527104
+0.0537774
+0.0549111
+0.0560963
+0.0573375
+0.0586344
+0.0599832
+0.0613806
+0.0628233
+0.0643084
+0.0658328
+0.0673939
+0.0689893
+0.0706166
+0.0722732
+0.0739564
+0.0756657
+0.0773992
+0.0791554
+0.0809328
+0.08273
+0.0845457
+0.0863789
+0.0882284
+0.0900931
+0.0919723
+0.0938649
+0.0955395
+0.0969718
+0.0982648
+0.0995891
+0.100944
+0.102327
+0.103738
+0.105176
+0.10664
+0.108128
+0.10964
+0.111174
+0.112392
+0.112967
+0.113575
+0.11422
+0.114903
+0.115595
+0.116265
+0.116973
+0.117716
+0.118496
+0.119311
+0.120079
+0.120847
+0.0914644
+0.0895676
+0.0876845
+0.0858161
+0.0839632
+0.0821269
+0.0803084
+0.078509
+0.0767298
+0.0749725
+0.0732385
+0.0715296
+0.0698476
+0.0681945
+0.0665717
+0.0649801
+0.0634242
+0.0619067
+0.0604306
+0.0589988
+0.0576148
+0.0562821
+0.054996
+0.0537633
+0.052593
+0.0514893
+0.0504566
+0.0494994
+0.0486222
+0.0478292
+0.0471249
+0.0465131
+0.0459976
+0.0455817
+0.0452682
+0.045059
+0.0449558
+0.0449592
+0.0450692
+0.045285
+0.0455985
+0.0460007
+0.0465027
+0.0471013
+0.047793
+0.0485737
+0.0494392
+0.0503852
+0.0514072
+0.0525007
+0.0536614
+0.0548772
+0.0561454
+0.0574692
+0.0588448
+0.0602686
+0.0617373
+0.0632478
+0.0647972
+0.0663827
+0.0680018
+0.0696522
+0.0713311
+0.0730361
+0.0747664
+0.0765203
+0.0782962
+0.0800927
+0.0819083
+0.0837419
+0.0855923
+0.0874583
+0.0893392
+0.0912339
+0.0927514
+0.0940003
+0.0952832
+0.0965988
+0.0979456
+0.0993226
+0.100728
+0.102162
+0.103622
+0.105107
+0.106616
+0.108149
+0.109705
+0.111281
+0.111928
+0.112548
+0.113147
+0.113747
+0.114386
+0.115063
+0.115778
+0.11653
+0.117317
+0.118062
+0.118795
+0.119564
+0.0907543
+0.0888424
+0.0869436
+0.0850588
+0.0831891
+0.0813353
+0.0794987
+0.0776805
+0.075882
+0.0741045
+0.0723497
+0.0706193
+0.0689151
+0.0672391
+0.0655927
+0.0639767
+0.0623958
+0.0608527
+0.0593503
+0.0578918
+0.0564807
+0.0551206
+0.0538153
+0.0525612
+0.0513635
+0.0502329
+0.0491738
+0.0481912
+0.0472896
+0.046474
+0.0457487
+0.0451183
+0.0445867
+0.0441575
+0.0438338
+0.0436178
+0.0435111
+0.0435146
+0.0436283
+0.0438512
+0.0441778
+0.0445928
+0.0451105
+0.0457274
+0.0464396
+0.0472426
+0.0481321
+0.0491032
+0.0501513
+0.0512717
+0.0524596
+0.0537106
+0.0550128
+0.0563651
+0.057767
+0.0592167
+0.0607109
+0.0622463
+0.06382
+0.0654292
+0.0670713
+0.0687441
+0.0704447
+0.0721706
+0.0739211
+0.0756946
+0.0774895
+0.0793042
+0.0811375
+0.0829881
+0.0848549
+0.0867369
+0.0886008
+0.0898006
+0.0910372
+0.0923093
+0.0936154
+0.094954
+0.0963239
+0.0977237
+0.0991521
+0.100608
+0.10209
+0.103597
+0.105129
+0.106683
+0.108259
+0.109841
+0.11084
+0.111367
+0.111934
+0.11254
+0.113186
+0.11387
+0.114592
+0.115351
+0.116085
+0.11679
+0.117531
+0.118308
+0.0900919
+0.0881656
+0.0862519
+0.0843517
+0.0824659
+0.0805955
+0.0787417
+0.0769055
+0.0750884
+0.0732917
+0.071517
+0.069766
+0.0680404
+0.0663422
+0.064673
+0.0630335
+0.0614283
+0.0598602
+0.0583323
+0.0568478
+0.0554101
+0.054023
+0.0526905
+0.0514168
+0.0501997
+0.0490421
+0.0479568
+0.0469487
+0.0460228
+0.0451843
+0.044438
+0.0437887
+0.0432408
+0.0427981
+0.042464
+0.042241
+0.0421308
+0.0421345
+0.0422518
+0.042482
+0.0428222
+0.0432502
+0.0437838
+0.0444191
+0.0451519
+0.0459774
+0.0468909
+0.0478872
+0.0489614
+0.0501083
+0.0513232
+0.0526012
+0.0539302
+0.05531
+0.0567408
+0.058219
+0.0597408
+0.0613033
+0.0629032
+0.064536
+0.0662003
+0.0678937
+0.0696139
+0.0713599
+0.0731299
+0.0749221
+0.076735
+0.0785672
+0.0804173
+0.0822841
+0.0841665
+0.085675
+0.08686
+0.0880834
+0.0893439
+0.0906397
+0.0919695
+0.0933318
+0.0947251
+0.0961482
+0.0975997
+0.0990784
+0.100583
+0.102112
+0.103666
+0.105233
+0.106809
+0.108407
+0.109641
+0.110173
+0.110746
+0.111359
+0.112012
+0.112703
+0.113432
+0.114158
+0.114832
+0.115545
+0.116294
+0.117079
+0.089474
+0.0875384
+0.0856107
+0.0836959
+0.081795
+0.0799089
+0.0780388
+0.0761857
+0.074351
+0.0725361
+0.0707424
+0.0689717
+0.0672257
+0.0655064
+0.0638154
+0.0621532
+0.0605247
+0.0589326
+0.0573799
+0.0558701
+0.0544066
+0.0529932
+0.0516341
+0.0503337
+0.0490967
+0.047922
+0.0468108
+0.0457774
+0.0448273
+0.043966
+0.0431987
+0.0425305
+0.0419662
+0.0415099
+0.0411653
+0.0409352
+0.0408215
+0.0408253
+0.0409464
+0.0411838
+0.0415356
+0.041979
+0.0425285
+0.0431823
+0.0439357
+0.0447837
+0.045721
+0.0467423
+0.0478422
+0.0490153
+0.0502566
+0.0515611
+0.0529162
+0.0543218
+0.055778
+0.0572809
+0.0588271
+0.0604131
+0.062036
+0.0636929
+0.0653811
+0.0670985
+0.0688414
+0.0706065
+0.0723949
+0.0742048
+0.0760348
+0.0778835
+0.0797494
+0.0816139
+0.0827525
+0.0839307
+0.0851399
+0.0863877
+0.0876725
+0.0889927
+0.0903468
+0.0917331
+0.0931504
+0.0945972
+0.0960721
+0.0975739
+0.0991014
+0.100652
+0.102206
+0.103782
+0.10538
+0.106999
+0.108472
+0.109009
+0.109589
+0.110208
+0.110867
+0.111566
+0.112278
+0.112922
+0.113604
+0.114323
+0.11508
+0.115874
+0.0888996
+0.0869534
+0.0850191
+0.0830927
+0.0811777
+0.079277
+0.0773915
+0.0755226
+0.0736714
+0.0718392
+0.0700277
+0.0682385
+0.0664732
+0.064734
+0.0630222
+0.0613385
+0.0596878
+0.0580727
+0.0564965
+0.0549624
+0.053474
+0.0520354
+0.0506506
+0.0493243
+0.0480613
+0.0468667
+0.045741
+0.0446829
+0.043709
+0.0428252
+0.0420371
+0.0413501
+0.0407694
+0.0402996
+0.0399446
+0.0397074
+0.0395902
+0.0395941
+0.039719
+0.0399637
+0.0403261
+0.0407859
+0.0413513
+0.0420234
+0.0427972
+0.0436674
+0.0446281
+0.0456738
+0.0467988
+0.0479974
+0.0492644
+0.0505945
+0.0519749
+0.0534052
+0.0548857
+0.0564124
+0.0579817
+0.0595903
+0.061235
+0.0629129
+0.0646216
+0.0663586
+0.0681218
+0.0699066
+0.0717125
+0.0735393
+0.0753854
+0.0772496
+0.0787204
+0.0798402
+0.0810038
+0.0822077
+0.0834419
+0.0847147
+0.0860245
+0.0873696
+0.0887484
+0.0901594
+0.091601
+0.0930718
+0.0945706
+0.0960959
+0.0976305
+0.0991827
+0.100759
+0.102357
+0.103974
+0.105598
+0.107243
+0.107878
+0.108463
+0.109089
+0.109755
+0.110453
+0.111063
+0.111714
+0.112403
+0.11313
+0.113895
+0.114697
+0.0883757
+0.0864177
+0.0844712
+0.0825369
+0.0806152
+0.0787009
+0.0768013
+0.0749177
+0.0730511
+0.071203
+0.0693749
+0.0675684
+0.0657852
+0.0640272
+0.062296
+0.0605922
+0.0589205
+0.0572839
+0.0556853
+0.0541282
+0.0526162
+0.0511534
+0.0497441
+0.048393
+0.047105
+0.0458855
+0.0447401
+0.0436709
+0.0426739
+0.0417682
+0.0409598
+0.0402544
+0.0396577
+0.0391746
+0.0388092
+0.0385651
+0.0384444
+0.0384484
+0.038577
+0.0388289
+0.0392018
+0.039678
+0.040259
+0.040949
+0.0417428
+0.0426344
+0.0436179
+0.0446873
+0.0458365
+0.0470596
+0.0483511
+0.0497057
+0.0511101
+0.0525639
+0.0540675
+0.0556167
+0.0572078
+0.0588375
+0.0605027
+0.0622004
+0.0639281
+0.0656835
+0.0674643
+0.0692661
+0.0710882
+0.0729306
+0.0747918
+0.0758431
+0.0769424
+0.0780877
+0.079277
+0.0805075
+0.0817673
+0.0830658
+0.0844012
+0.0857718
+0.0871758
+0.0886118
+0.0900782
+0.0915735
+0.0930884
+0.0946137
+0.0961647
+0.0977401
+0.0993333
+0.100937
+0.102563
+0.104209
+0.105875
+0.106729
+0.107338
+0.107987
+0.108676
+0.109261
+0.109878
+0.110536
+0.111232
+0.111967
+0.11274
+0.11355
+0.0879034
+0.0859346
+0.0839769
+0.0820309
+0.0800976
+0.0781778
+0.0762695
+0.0743724
+0.0724918
+0.0706291
+0.0687857
+0.0669633
+0.0651635
+0.0633883
+0.0616392
+0.0599167
+0.0582256
+0.0565688
+0.0549495
+0.0533709
+0.0518369
+0.0503515
+0.048919
+0.0475444
+0.0462328
+0.0449897
+0.0438209
+0.0427325
+0.0417232
+0.0407964
+0.0399683
+0.0392451
+0.0386328
+0.0381367
+0.0377613
+0.0375104
+0.0373863
+0.0373904
+0.0375226
+0.0377815
+0.0381647
+0.0386541
+0.0392502
+0.0399577
+0.0407708
+0.0416832
+0.0426886
+0.0437807
+0.0449531
+0.0461996
+0.0475145
+0.0488923
+0.0503257
+0.0518017
+0.0533268
+0.0548969
+0.0565083
+0.0581576
+0.0598417
+0.0615576
+0.0633029
+0.0650751
+0.0668721
+0.0686895
+0.0705265
+0.0719576
+0.0729839
+0.0740608
+0.0751862
+0.0763578
+0.0775736
+0.0788314
+0.0801176
+0.0814424
+0.082804
+0.0842006
+0.0856304
+0.0870919
+0.0885835
+0.0900793
+0.0916023
+0.0931519
+0.0947185
+0.0962995
+0.097904
+0.0995308
+0.101179
+0.102847
+0.104535
+0.105585
+0.1062
+0.106857
+0.107518
+0.108101
+0.108725
+0.109389
+0.110093
+0.110835
+0.111616
+0.112434
+0.0874834
+0.085505
+0.0835371
+0.0815807
+0.0796364
+0.0777053
+0.0757882
+0.0738864
+0.0719948
+0.0701189
+0.0682618
+0.0664249
+0.0646102
+0.0628194
+0.0610539
+0.0593144
+0.0576057
+0.0559306
+0.0542922
+0.0526939
+0.0511396
+0.0496333
+0.0481795
+0.0467832
+0.0454496
+0.0441845
+0.0429938
+0.0418839
+0.0408536
+0.0399066
+0.0390597
+0.0383194
+0.037692
+0.0371833
+0.0367982
+0.0365406
+0.0364133
+0.0364175
+0.0365532
+0.036819
+0.0372121
+0.0377236
+0.0383342
+0.0390583
+0.0398896
+0.0408218
+0.0418479
+0.0429614
+0.0441555
+0.0454239
+0.0467606
+0.04816
+0.0496166
+0.0511221
+0.0526668
+0.054256
+0.0558859
+0.0575531
+0.0592543
+0.0609868
+0.062748
+0.0645354
+0.0663471
+0.0681784
+0.0691459
+0.070145
+0.0711975
+0.072301
+0.0734533
+0.0746522
+0.0758953
+0.0771806
+0.0784944
+0.0798462
+0.0812345
+0.0826576
+0.0841137
+0.0855851
+0.0870765
+0.0885969
+0.0901338
+0.0916891
+0.09327
+0.0948751
+0.0965033
+0.0981533
+0.0998242
+0.101515
+0.103224
+0.104447
+0.10507
+0.105735
+0.106384
+0.106973
+0.107603
+0.108274
+0.108985
+0.109735
+0.110524
+0.11135
+0.0871164
+0.0851295
+0.0831528
+0.0811871
+0.0792332
+0.0772919
+0.0753644
+0.0734516
+0.0715548
+0.0696739
+0.0678046
+0.065955
+0.0641269
+0.0623223
+0.0605423
+0.0587877
+0.0570632
+0.0553716
+0.0537162
+0.0521003
+0.0505277
+0.0490026
+0.0475295
+0.0461135
+0.04476
+0.0434748
+0.0422641
+0.0411345
+0.040085
+0.0391194
+0.038255
+0.0374989
+0.0368575
+0.0363372
+0.035943
+0.0356793
+0.0355488
+0.0355531
+0.0356921
+0.0359643
+0.0363666
+0.0368948
+0.0375238
+0.0382632
+0.0391115
+0.0400617
+0.0411069
+0.0422399
+0.0434538
+0.0447422
+0.0460986
+0.0475174
+0.0489932
+0.0505208
+0.0520907
+0.053697
+0.0553434
+0.0570264
+0.0587429
+0.06049
+0.0622652
+0.0640661
+0.0654496
+0.0663598
+0.0673289
+0.0683545
+0.0694341
+0.0705653
+0.0717455
+0.0729724
+0.0742437
+0.0755571
+0.0768994
+0.0782787
+0.0796943
+0.0811377
+0.0825932
+0.0840805
+0.0855837
+0.0871102
+0.0886644
+0.0902451
+0.0918509
+0.0934804
+0.0951324
+0.0968058
+0.0984995
+0.100213
+0.101944
+0.103325
+0.103955
+0.104627
+0.105283
+0.105878
+0.106515
+0.107193
+0.107911
+0.108669
+0.109465
+0.110292
+0.0868033
+0.084809
+0.0828246
+0.0808509
+0.0788887
+0.0769388
+0.0750021
+0.0730799
+0.0711731
+0.0692832
+0.0674114
+0.065555
+0.0637154
+0.0618987
+0.0601063
+0.0583385
+0.0566003
+0.0548945
+0.0532242
+0.0515929
+0.0500044
+0.0484628
+0.0469728
+0.0455395
+0.0441684
+0.0428654
+0.041637
+0.04049
+0.0394233
+0.0384411
+0.0375611
+0.0367907
+0.0361368
+0.0356059
+0.0352036
+0.0349342
+0.034801
+0.0348053
+0.0349473
+0.0352252
+0.0356359
+0.0361748
+0.0368261
+0.0375792
+0.0384426
+0.039409
+0.040471
+0.0416213
+0.0428528
+0.0441586
+0.0455325
+0.0469684
+0.0484603
+0.0500018
+0.0515903
+0.0532215
+0.0548829
+0.0565796
+0.0583093
+0.060069
+0.0617896
+0.0626705
+0.0636025
+0.0645387
+0.0655348
+0.066588
+0.0676958
+0.0688555
+0.0700645
+0.0713203
+0.0726206
+0.0739628
+0.0753343
+0.0767417
+0.0781597
+0.0796093
+0.0810744
+0.0825679
+0.084092
+0.085645
+0.0872254
+0.0888317
+0.0904626
+0.0921166
+0.0937927
+0.0954896
+0.0972062
+0.0989416
+0.100695
+0.102173
+0.102845
+0.103554
+0.104217
+0.104818
+0.105461
+0.106146
+0.106871
+0.107636
+0.108433
+0.109261
+0.0865444
+0.084544
+0.0825533
+0.080573
+0.0786038
+0.0766466
+0.0747024
+0.0727722
+0.0708572
+0.0689586
+0.0670778
+0.0652163
+0.0633759
+0.0615503
+0.0597474
+0.0579687
+0.0562191
+0.0545013
+0.0528186
+0.0511744
+0.0495724
+0.048017
+0.0465127
+0.0450648
+0.0436788
+0.0423608
+0.0411173
+0.0399553
+0.038874
+0.0378775
+0.0369841
+0.0362014
+0.0355367
+0.0349967
+0.0345872
+0.0343131
+0.0341774
+0.0341819
+0.0343264
+0.0346093
+0.0350272
+0.0355753
+0.0362455
+0.0370104
+0.0378868
+0.038867
+0.0399434
+0.0411084
+0.0423548
+0.0436756
+0.0450625
+0.0465103
+0.0480145
+0.0495698
+0.0511717
+0.0528159
+0.0544985
+0.0562148
+0.0579553
+0.0590654
+0.0599019
+0.0608036
+0.0617682
+0.0627412
+0.0637654
+0.0648474
+0.0659844
+0.0671737
+0.0684124
+0.069698
+0.0710241
+0.0723845
+0.0737848
+0.0751914
+0.0766128
+0.0780687
+0.0795584
+0.0810799
+0.0826314
+0.0842114
+0.0858182
+0.0874503
+0.0891065
+0.0907852
+0.0924854
+0.0942059
+0.0959455
+0.0977033
+0.0994782
+0.101002
+0.101681
+0.102403
+0.103166
+0.103793
+0.104443
+0.105134
+0.105866
+0.106631
+0.107388
+0.108055
+0.0863404
+0.0843352
+0.0823394
+0.0803538
+0.0783791
+0.0764162
+0.074466
+0.0725295
+0.0706079
+0.0687024
+0.0668143
+0.0649453
+0.063097
+0.0612662
+0.059455
+0.0576701
+0.0559142
+0.0541898
+0.0525003
+0.0508468
+0.0492342
+0.0476677
+0.0461521
+0.0446925
+0.0432946
+0.0419645
+0.0407089
+0.0395349
+0.0384418
+0.0374338
+0.0365296
+0.0357369
+0.0350634
+0.034516
+0.0341008
+0.0338227
+0.033685
+0.0336895
+0.0338362
+0.0341232
+0.0345469
+0.0351025
+0.0357816
+0.0365562
+0.0374432
+0.0384347
+0.0395229
+0.0407
+0.0419585
+0.0432914
+0.0446902
+0.0461497
+0.0476652
+0.0492316
+0.0508442
+0.0524986
+0.0541911
+0.0556187
+0.0563604
+0.0571647
+0.0580285
+0.0589542
+0.0599444
+0.0609572
+0.0620103
+0.063122
+0.064289
+0.0655
+0.0667573
+0.0680619
+0.0694112
+0.0708025
+0.0722079
+0.0736206
+0.0750707
+0.076556
+0.0780745
+0.0796243
+0.0812037
+0.0828109
+0.0844443
+0.0861025
+0.0877841
+0.0894877
+0.091212
+0.0929561
+0.0947186
+0.0964988
+0.0982955
+0.0998646
+0.100552
+0.101282
+0.102053
+0.102805
+0.10346
+0.104158
+0.10489
+0.105546
+0.10618
+0.106855
+0.0861916
+0.0841828
+0.0821833
+0.0801939
+0.0782151
+0.076248
+0.0742934
+0.0723523
+0.0704258
+0.0685153
+0.0666219
+0.0647474
+0.0628932
+0.0610563
+0.0592387
+0.0574471
+0.0556841
+0.0539524
+0.0522552
+0.050596
+0.0489785
+0.0474071
+0.0458865
+0.0444219
+0.0430187
+0.0416798
+0.0404154
+0.0392326
+0.0381308
+0.0371144
+0.0362021
+0.0354021
+0.0347221
+0.0341692
+0.0337498
+0.0334687
+0.0333296
+0.0333342
+0.0334824
+0.0337724
+0.0342005
+0.0347617
+0.0354472
+0.036229
+0.0371238
+0.0381236
+0.0392204
+0.0404063
+0.0416737
+0.0430154
+0.0444229
+0.0458909
+0.0474147
+0.0489891
+0.0506094
+0.0522713
+0.0530091
+0.0536974
+0.0544581
+0.0552852
+0.0561702
+0.0571246
+0.0581246
+0.0591546
+0.0602393
+0.061383
+0.0625825
+0.0638226
+0.0651124
+0.0664493
+0.0678306
+0.0692333
+0.0706375
+0.072081
+0.0735615
+0.0750766
+0.0766245
+0.078203
+0.0798105
+0.0814452
+0.0831055
+0.0847899
+0.086497
+0.0882254
+0.089974
+0.0917415
+0.093527
+0.0953294
+0.0971477
+0.098763
+0.0994578
+0.100196
+0.100949
+0.101743
+0.102515
+0.103208
+0.103763
+0.104362
+0.105003
+0.105686
+0.0860983
+0.0840873
+0.0820855
+0.0800936
+0.0781123
+0.0761425
+0.0741851
+0.0722411
+0.0703116
+0.0683978
+0.0665012
+0.0646231
+0.0627653
+0.0609245
+0.0591028
+0.057307
+0.0555396
+0.0538032
+0.0521012
+0.0504369
+0.0488141
+0.0472372
+0.045711
+0.0442406
+0.0428318
+0.0414909
+0.0402246
+0.0390404
+0.0379439
+0.0369223
+0.0360052
+0.0352007
+0.0345168
+0.0339605
+0.0335385
+0.0332556
+0.0331156
+0.0331202
+0.0332694
+0.0335612
+0.033992
+0.0345565
+0.0352461
+0.0360322
+0.0369318
+0.0379367
+0.0390387
+0.04023
+0.0415028
+0.0428498
+0.0442626
+0.0457357
+0.0472646
+0.0488438
+0.049914
+0.0504546
+0.0510835
+0.0517954
+0.0525734
+0.0534208
+0.0543352
+0.0553149
+0.0563196
+0.057379
+0.0584966
+0.0596737
+0.0609041
+0.0621772
+0.0635004
+0.0648706
+0.06627
+0.0676648
+0.069101
+0.0705759
+0.0720872
+0.0736327
+0.0752103
+0.0768179
+0.0784538
+0.0801162
+0.0818035
+0.0835141
+0.0852468
+0.087
+0.0887728
+0.0905638
+0.092372
+0.0941845
+0.0960011
+0.0975871
+0.0982902
+0.0990368
+0.0998258
+0.100654
+0.101498
+0.102044
+0.102606
+0.103211
+0.10386
+0.10455
+0.0860553
+0.0840435
+0.0820409
+0.0800481
+0.0780659
+0.0760952
+0.0741368
+0.0721918
+0.0702612
+0.0683463
+0.0664485
+0.0645692
+0.0627101
+0.0608713
+0.059048
+0.0572505
+0.0554812
+0.053743
+0.052039
+0.0503726
+0.0487477
+0.0471686
+0.0456401
+0.0441673
+0.0427561
+0.0414127
+0.0401441
+0.0389573
+0.0378603
+0.0368597
+0.035941
+0.0351351
+0.0344498
+0.0338925
+0.0334695
+0.0331861
+0.0330458
+0.0330504
+0.0331999
+0.0334923
+0.033924
+0.0344896
+0.0351805
+0.0359681
+0.0368692
+0.0378757
+0.0389795
+0.0401726
+0.0414471
+0.0427959
+0.0442104
+0.0456852
+0.047126
+0.0474965
+0.0479644
+0.0485267
+0.0491802
+0.0499063
+0.0507115
+0.051581
+0.0525274
+0.0535048
+0.0545417
+0.05563
+0.0567821
+0.057994
+0.0592587
+0.0605664
+0.061924
+0.06331
+0.0647038
+0.0661317
+0.0676005
+0.0691074
+0.0706502
+0.0722264
+0.0738341
+0.075471
+0.0771355
+0.0788257
+0.08054
+0.0822769
+0.084035
+0.0858131
+0.0876098
+0.0893996
+0.0912063
+0.0930294
+0.0948681
+0.0964398
+0.0971512
+0.0979064
+0.0987045
+0.0995444
+0.100391
+0.100914
+0.101483
+0.102095
+0.10275
+0.103447
+0.0860627
+0.0840511
+0.0820486
+0.080056
+0.0780741
+0.0761035
+0.0741454
+0.0722006
+0.0702702
+0.0683556
+0.066458
+0.064579
+0.0627202
+0.0608835
+0.0590709
+0.0572777
+0.0555093
+0.053772
+0.052069
+0.0504036
+0.0487797
+0.0472017
+0.0456742
+0.0442026
+0.0427926
+0.0414504
+0.0401829
+0.0389974
+0.0379015
+0.0369032
+0.0360057
+0.0352012
+0.0345172
+0.033961
+0.033539
+0.0332562
+0.0331161
+0.0331208
+0.0332699
+0.0335617
+0.0339925
+0.034557
+0.0352489
+0.0360372
+0.0369367
+0.0379414
+0.0390433
+0.0402345
+0.0415071
+0.042854
+0.0442666
+0.0448731
+0.0451622
+0.0455487
+0.0460363
+0.0466219
+0.0472918
+0.0480428
+0.048868
+0.0497696
+0.050723
+0.0517241
+0.0527892
+0.053913
+0.0551009
+0.056349
+0.0576496
+0.0589929
+0.060363
+0.0617563
+0.0631749
+0.0646365
+0.0661385
+0.067678
+0.0692526
+0.07086
+0.0724979
+0.0741644
+0.0758575
+0.0775755
+0.0793169
+0.08108
+0.0828514
+0.0846277
+0.0864231
+0.0882362
+0.0900662
+0.091912
+0.0937726
+0.0953177
+0.0960374
+0.0968012
+0.0976083
+0.0984575
+0.0992762
+0.099808
+0.100385
+0.101006
+0.101664
+0.102362
+0.0861258
+0.0841157
+0.0821148
+0.0801239
+0.0781436
+0.0761749
+0.0742186
+0.0722758
+0.0703475
+0.068435
+0.0665397
+0.0646631
+0.0628068
+0.0609726
+0.0591628
+0.0573795
+0.0556238
+0.0538902
+0.052191
+0.0505296
+0.0489099
+0.0473362
+0.0458133
+0.0443463
+0.0429409
+0.0416035
+0.0403409
+0.0391601
+0.0380689
+0.0370751
+0.0361819
+0.0353814
+0.034701
+0.0341478
+0.0337281
+0.0334468
+0.0333076
+0.0333122
+0.0334605
+0.0337507
+0.0341791
+0.0347406
+0.0354289
+0.0362367
+0.0371335
+0.038133
+0.0392296
+0.0404152
+0.0416823
+0.0426205
+0.0427157
+0.0429226
+0.0432202
+0.0436239
+0.0441329
+0.0447391
+0.0454267
+0.0462034
+0.0470541
+0.0479799
+0.0489391
+0.0499758
+0.0510706
+0.0522313
+0.0534566
+0.0547422
+0.0560799
+0.0574318
+0.0588243
+0.0602322
+0.0616858
+0.063182
+0.0647177
+0.0662902
+0.067897
+0.0695357
+0.0712041
+0.0729001
+0.074622
+0.0763678
+0.0781096
+0.0798712
+0.0816535
+0.0834553
+0.0852753
+0.0871124
+0.0889655
+0.0908336
+0.0927159
+0.0942293
+0.0949572
+0.0957297
+0.0965457
+0.0974042
+0.0981936
+0.0987313
+0.0993144
+0.0999353
+0.100598
+0.101303
+0.0862445
+0.0842372
+0.0822393
+0.0802515
+0.0782744
+0.0763091
+0.0743563
+0.0724172
+0.0704928
+0.0685844
+0.0666933
+0.0648211
+0.0629695
+0.0611402
+0.0593355
+0.0575576
+0.055809
+0.0540926
+0.0524043
+0.0507499
+0.0491375
+0.0475714
+0.0460562
+0.0445972
+0.0432
+0.0418709
+0.0406165
+0.039444
+0.0383609
+0.0373749
+0.036489
+0.0356954
+0.0350211
+0.034473
+0.0340573
+0.0337788
+0.033641
+0.0336455
+0.0337924
+0.0340797
+0.034504
+0.0350603
+0.0357424
+0.0365433
+0.0374393
+0.038431
+0.0395192
+0.0406964
+0.0406964
+0.0406783
+0.040778
+0.0409935
+0.0413031
+0.0417254
+0.0422572
+0.0428749
+0.0435919
+0.0443888
+0.0452555
+0.0461672
+0.0471632
+0.0482381
+0.0493868
+0.0505886
+0.0518528
+0.0531772
+0.054514
+0.0558961
+0.057306
+0.0587503
+0.0602397
+0.0617708
+0.0633407
+0.0649466
+0.0665859
+0.0682561
+0.069955
+0.0716683
+0.0733883
+0.0751329
+0.0769002
+0.0786889
+0.0804974
+0.0823245
+0.084169
+0.0860297
+0.0879056
+0.0897958
+0.0916763
+0.0931797
+0.0939157
+0.0946967
+0.0955216
+0.0963892
+0.0971403
+0.0976918
+0.0982742
+0.0988991
+0.0995684
+0.100281
+0.0864162
+0.0844155
+0.0824219
+0.0804385
+0.0784662
+0.0765058
+0.0745582
+0.0726245
+0.0707057
+0.0688032
+0.0669183
+0.0650526
+0.0632077
+0.0613856
+0.0595883
+0.0578181
+0.0560777
+0.0543698
+0.0526976
+0.0510634
+0.0494612
+0.0479056
+0.0464014
+0.0449536
+0.0435678
+0.0422503
+0.0410075
+0.0398465
+0.0387746
+0.0377994
+0.0369237
+0.0361397
+0.0354738
+0.0349329
+0.0345227
+0.034248
+0.034112
+0.0341165
+0.0342614
+0.0345448
+0.0349634
+0.0355125
+0.0361861
+0.0369774
+0.0378679
+0.0388485
+0.0390393
+0.0388478
+0.038756
+0.0387625
+0.0388671
+0.0390902
+0.0394146
+0.0398569
+0.0403996
+0.041043
+0.0417832
+0.0425796
+0.0434395
+0.0443885
+0.0454234
+0.0465385
+0.0477282
+0.0489778
+0.050287
+0.0516151
+0.0529795
+0.0543847
+0.0558323
+0.0573138
+0.0588395
+0.0604062
+0.0620107
+0.0636417
+0.065304
+0.0669946
+0.0686919
+0.0704165
+0.0721664
+0.0739397
+0.0757349
+0.0775505
+0.079385
+0.0812371
+0.0831057
+0.0849897
+0.0868772
+0.0887095
+0.0905576
+0.0921685
+0.0929127
+0.0936921
+0.0945041
+0.0953241
+0.0960177
+0.096669
+0.0972697
+0.097901
+0.0985527
+0.0992464
+0.0866347
+0.0846403
+0.082656
+0.0806823
+0.0787186
+0.0767646
+0.0748237
+0.072897
+0.0709856
+0.0690908
+0.067214
+0.0653567
+0.0635207
+0.0617078
+0.0599202
+0.0581601
+0.0564302
+0.0547333
+0.0530726
+0.0514516
+0.0498741
+0.048337
+0.0468466
+0.045413
+0.0440417
+0.0427388
+0.0415106
+0.0403641
+0.0393063
+0.0383446
+0.0374817
+0.0367096
+0.0360542
+0.0355221
+0.0351188
+0.0348488
+0.0347152
+0.0347196
+0.0348619
+0.0351405
+0.0355522
+0.0360923
+0.0367553
+0.0375346
+0.0378323
+0.0374258
+0.0371154
+0.0369114
+0.0368164
+0.0368468
+0.0369873
+0.0372183
+0.0375588
+0.0380156
+0.0385745
+0.039242
+0.0399545
+0.0407647
+0.0416595
+0.0426481
+0.0437243
+0.044881
+0.0460984
+0.0473858
+0.0487301
+0.0500629
+0.0514545
+0.0529003
+0.0543958
+0.0559079
+0.05746
+0.0590525
+0.0606824
+0.0623466
+0.0640258
+0.0657267
+0.067456
+0.0692114
+0.070991
+0.072793
+0.0746158
+0.0764579
+0.078318
+0.0801947
+0.0820871
+0.0839123
+0.0857519
+0.0876077
+0.0894787
+0.0910068
+0.0917501
+0.0925393
+0.0933732
+0.0942467
+0.0949323
+0.0956125
+0.0961967
+0.0968143
+0.0974692
+0.0981687
+0.0869078
+0.0849199
+0.0829422
+0.0809755
+0.0790205
+0.0770783
+0.0751497
+0.0732341
+0.0713317
+0.0694464
+0.0675794
+0.0657325
+0.0639072
+0.0621056
+0.0603298
+0.058582
+0.056865
+0.0551815
+0.0535347
+0.0519281
+0.0503655
+0.0488513
+0.0473786
+0.0459621
+0.0446083
+0.043323
+0.0421124
+0.0409833
+0.0399426
+0.0389972
+0.0381543
+0.0373992
+0.0367562
+0.0362344
+0.0358391
+0.0355746
+0.0354437
+0.035448
+0.0355874
+0.0358604
+0.0362639
+0.0367936
+0.0371428
+0.0365174
+0.0359802
+0.0355474
+0.0352201
+0.035005
+0.0349066
+0.0349386
+0.0351076
+0.035383
+0.035741
+0.0362029
+0.0367689
+0.0374007
+0.038148
+0.0389856
+0.0399203
+0.040951
+0.0420634
+0.0432491
+0.0445112
+0.0458432
+0.0471695
+0.0485452
+0.0499791
+0.0514663
+0.0529696
+0.0545173
+0.0561078
+0.0577377
+0.0593971
+0.0610698
+0.0627744
+0.0645084
+0.0662695
+0.0680555
+0.0698645
+0.0716948
+0.0735449
+0.0754131
+0.0772984
+0.0791275
+0.0809573
+0.0828046
+0.0846684
+0.0865474
+0.0884408
+0.089873
+0.0906256
+0.0914245
+0.0922685
+0.0931564
+0.0938855
+0.0945204
+0.0951195
+0.0957585
+0.0964211
+0.0971281
+0.0872351
+0.0852548
+0.0832851
+0.0813267
+0.0793804
+0.0774471
+0.075528
+0.073624
+0.0717363
+0.0698663
+0.0680135
+0.0661787
+0.0643661
+0.0625777
+0.0608156
+0.0590822
+0.0573802
+0.0557122
+0.0540816
+0.0524917
+0.0509465
+0.04945
+0.0479957
+0.046598
+0.0452632
+0.043997
+0.0428055
+0.0416952
+0.0406727
+0.0397447
+0.038918
+0.0381992
+0.037573
+0.0370627
+0.0366763
+0.0364179
+0.03629
+0.0362943
+0.0364304
+0.0366971
+0.0370414
+0.036189
+0.0354235
+0.0347513
+0.0341683
+0.0337019
+0.0333609
+0.0331337
+0.0330284
+0.0330622
+0.0332314
+0.0334989
+0.0339023
+0.0343514
+0.0349155
+0.0355877
+0.0363676
+0.0372399
+0.0382181
+0.0392881
+0.0404365
+0.0416686
+0.0429764
+0.0443029
+0.0456607
+0.0470805
+0.0485522
+0.0500448
+0.0515872
+0.0531751
+0.0548046
+0.0564538
+0.0581287
+0.0598369
+0.0615756
+0.0633425
+0.065135
+0.0669513
+0.0687894
+0.0706476
+0.0725243
+0.0743575
+0.0761759
+0.0780135
+0.0798688
+0.0817407
+0.0836282
+0.0855301
+0.0874439
+0.0887727
+0.0895346
+0.0903432
+0.0911938
+0.092082
+0.0928786
+0.0934666
+0.0940724
+0.0947251
+0.0954111
+0.0961255
+0.087616
+0.0856445
+0.083684
+0.0817351
+0.0797988
+0.0778759
+0.0759676
+0.0740749
+0.072199
+0.0703413
+0.0685034
+0.0666867
+0.0648931
+0.0631223
+0.0613759
+0.0596588
+0.0579736
+0.0563232
+0.0547108
+0.0531398
+0.0516139
+0.0501374
+0.0487037
+0.0473268
+0.0460132
+0.0447682
+0.0435978
+0.0425082
+0.0415057
+0.0405967
+0.0397877
+0.0390849
+0.0384942
+0.0379993
+0.0376226
+0.0373707
+0.0372462
+0.0372503
+0.0373829
+0.0363755
+0.0353904
+0.0344953
+0.0337063
+0.0330174
+0.0324024
+0.0319002
+0.0315332
+0.0312907
+0.0311739
+0.0312088
+0.0313616
+0.0316429
+0.0320255
+0.0324871
+0.033083
+0.0338106
+0.0346113
+0.0355268
+0.0365508
+0.0376687
+0.0388648
+0.0400932
+0.0413984
+0.042765
+0.0441981
+0.0456557
+0.0471382
+0.0486741
+0.0502586
+0.0518872
+0.053528
+0.0552047
+0.0569163
+0.0586599
+0.0604325
+0.0622318
+0.0640555
+0.0659015
+0.067768
+0.0696054
+0.0714104
+0.0732365
+0.075082
+0.0769457
+0.0788262
+0.0807223
+0.0826317
+0.0845504
+0.0864819
+0.0877055
+0.0884661
+0.0892739
+0.0901278
+0.0910264
+0.0918716
+0.092436
+0.0930485
+0.0937083
+0.094381
+0.0949797
+0.0880497
+0.0860882
+0.084138
+0.0821999
+0.0802748
+0.0783636
+0.0764674
+0.0745874
+0.0727248
+0.0708809
+0.0690573
+0.0672556
+0.0654776
+0.0637253
+0.0620009
+0.0603068
+0.0586429
+0.0570119
+0.0554195
+0.0538692
+0.0523646
+0.0509098
+0.0494985
+0.0481444
+0.0468536
+0.0456316
+0.044484
+0.0434166
+0.0424355
+0.0415469
+0.0407568
+0.040071
+0.039495
+0.0390336
+0.0386694
+0.0384244
+0.0383032
+0.0370913
+0.0359196
+0.0348075
+0.0337803
+0.0328566
+0.0320311
+0.0313225
+0.0306762
+0.0301501
+0.0297473
+0.0294901
+0.0293652
+0.0293859
+0.0295337
+0.0298146
+0.0301754
+0.030666
+0.0312966
+0.0320648
+0.0329072
+0.0338688
+0.0349302
+0.0360522
+0.0372446
+0.0385238
+0.0398688
+0.0412861
+0.0427687
+0.0442576
+0.0457853
+0.0473651
+0.0489851
+0.0506227
+0.0523008
+0.0540156
+0.0557637
+0.0575422
+0.0593482
+0.0611794
+0.0630335
+0.0648751
+0.0666642
+0.0684767
+0.0703106
+0.0721645
+0.0740368
+0.0759261
+0.0778302
+0.079744
+0.0816717
+0.0836124
+0.0855652
+0.0866502
+0.08742
+0.0882375
+0.0891013
+0.0900103
+0.090852
+0.0913719
+0.0919411
+0.0925587
+0.0932236
+0.0938225
+0.0885194
+0.0865776
+0.0846463
+0.0827201
+0.0808074
+0.0789091
+0.0770264
+0.0751603
+0.0733122
+0.0714835
+0.0696757
+0.0678904
+0.0661295
+0.064395
+0.062689
+0.061014
+0.0593726
+0.0577676
+0.0562023
+0.0546767
+0.053195
+0.0517635
+0.0503761
+0.0490462
+0.0477799
+0.0465821
+0.0454585
+0.0444145
+0.043456
+0.0425887
+0.0418183
+0.0411502
+0.0405895
+0.0401406
+0.0397934
+0.0383675
+0.0369904
+0.0356899
+0.0344466
+0.0332817
+0.0322016
+0.0312312
+0.0303881
+0.0296697
+0.0290052
+0.0284587
+0.028019
+0.027718
+0.0275709
+0.0275948
+0.0277234
+0.0279899
+0.0283738
+0.0288962
+0.0295646
+0.0303426
+0.0312165
+0.0322022
+0.0332845
+0.0344337
+0.0356805
+0.0370052
+0.0384033
+0.0398727
+0.0413926
+0.0429257
+0.0444991
+0.0461058
+0.0477416
+0.0494204
+0.051138
+0.0528905
+0.0546747
+0.0564874
+0.058317
+0.0601252
+0.0619417
+0.0637378
+0.065558
+0.0674002
+0.0692627
+0.0711439
+0.0730416
+0.0749496
+0.0768727
+0.0788098
+0.0807598
+0.0827219
+0.0846952
+0.0856288
+0.0864077
+0.0872347
+0.0881084
+0.0890274
+0.0896972
+0.0902238
+0.0908002
+0.0914254
+0.0920985
+0.0927
+0.0889554
+0.0870425
+0.0851431
+0.0832579
+0.0813881
+0.0795113
+0.0776431
+0.0757923
+0.07396
+0.0721477
+0.0703569
+0.0685893
+0.0668468
+0.0651314
+0.0634453
+0.0617908
+0.0601706
+0.0585875
+0.0570446
+0.0555453
+0.0540931
+0.0526921
+0.0513323
+0.0500278
+0.0487869
+0.0476146
+0.0465158
+0.0454962
+0.0445609
+0.0437155
+0.0429653
+0.0423153
+0.0417339
+0.0401352
+0.0385946
+0.037103
+0.0356736
+0.0343212
+0.0330269
+0.0318136
+0.0306981
+0.0296787
+0.0287818
+0.028003
+0.0273155
+0.0267845
+0.0262913
+0.0259667
+0.0258107
+0.0258105
+0.0259316
+0.0262212
+0.0266307
+0.0271832
+0.0278263
+0.028623
+0.0295472
+0.0305698
+0.031666
+0.0328719
+0.0341757
+0.0355567
+0.0370095
+0.0385011
+0.0400554
+0.0416665
+0.0432567
+0.0448895
+0.0465681
+0.0482877
+0.0500441
+0.051807
+0.0535708
+0.0553643
+0.0571819
+0.0590249
+0.0608285
+0.0626566
+0.0645072
+0.0663786
+0.0682685
+0.0701696
+0.0720871
+0.0740197
+0.0759664
+0.077926
+0.0798976
+0.0818633
+0.0838334
+0.0846517
+0.0854396
+0.0862758
+0.0871591
+0.0880786
+0.0885813
+0.0891144
+0.0896979
+0.0903308
+0.0910121
+0.0916012
+0.0893879
+0.0874845
+0.0855949
+0.0837199
+0.0818606
+0.0800181
+0.0781935
+0.0763857
+0.0745974
+0.0728311
+0.0710884
+0.0693505
+0.0676276
+0.0659325
+0.0642674
+0.0626346
+0.0610368
+0.0594767
+0.0579575
+0.0564824
+0.055055
+0.0536791
+0.0523583
+0.0510801
+0.0498654
+0.048719
+0.0476458
+0.0466508
+0.0457391
+0.0449159
+0.0441009
+0.0423693
+0.0406773
+0.039035
+0.0374437
+0.0358944
+0.0344149
+0.0330146
+0.0316649
+0.0303972
+0.029239
+0.0281757
+0.0272292
+0.0264047
+0.0256888
+0.0251234
+0.0246336
+0.0242868
+0.0241116
+0.0240395
+0.0241665
+0.0244426
+0.0248462
+0.0254248
+0.0261249
+0.0269719
+0.0279351
+0.0289654
+0.03012
+0.0313853
+0.032747
+0.0341704
+0.0356444
+0.037189
+0.0387959
+0.0404161
+0.0420391
+0.0437117
+0.0454284
+0.0471313
+0.048863
+0.0506297
+0.0524284
+0.0542559
+0.0561094
+0.0579387
+0.0597749
+0.0616342
+0.0635146
+0.0654071
+0.0673177
+0.0692448
+0.0711872
+0.0731429
+0.0750862
+0.0770427
+0.0790115
+0.0809918
+0.0829699
+0.0837206
+0.0845171
+0.0853624
+0.0862239
+0.0870181
+0.0875059
+0.0880456
+0.0886362
+0.0892766
+0.0899612
+0.0905342
+0.0898644
+0.0879714
+0.0860925
+0.0842287
+0.0823809
+0.0805504
+0.0787354
+0.0769393
+0.0751642
+0.0734115
+0.0716829
+0.0699802
+0.0683053
+0.0666604
+0.0650476
+0.0634695
+0.0619287
+0.060428
+0.0589378
+0.0574879
+0.056086
+0.054736
+0.0534417
+0.0521924
+0.0510042
+0.049884
+0.0488363
+0.0478661
+0.0468277
+0.044998
+0.0432019
+0.041439
+0.0397017
+0.0380065
+0.0363566
+0.0347589
+0.033229
+0.0317765
+0.0303911
+0.029065
+0.0278484
+0.0267466
+0.0257529
+0.0248767
+0.024133
+0.0234908
+0.0230118
+0.0225988
+0.0223862
+0.0223085
+0.0224122
+0.0226649
+0.0230995
+0.0237143
+0.0245013
+0.0253767
+0.0263523
+0.0274421
+0.0286582
+0.0299837
+0.0313783
+0.0328314
+0.0343628
+0.0359443
+0.037505
+0.0391262
+0.0408005
+0.0424924
+0.044192
+0.0459294
+0.0477042
+0.0495122
+0.0513501
+0.0532147
+0.0550716
+0.056916
+0.0587841
+0.0606663
+0.0625682
+0.0644884
+0.0664153
+0.0683392
+0.0702788
+0.0722327
+0.0741998
+0.0761791
+0.0781697
+0.0801546
+0.0820332
+0.0827978
+0.0836129
+0.0844421
+0.0853009
+0.085979
+0.0864727
+0.0870188
+0.0876163
+0.0882641
+0.0889285
+0.0895082
+0.0903783
+0.0884963
+0.0866288
+0.0847767
+0.0829412
+0.0811233
+0.0793242
+0.0775453
+0.0757879
+0.0740522
+0.0723389
+0.0706521
+0.0689935
+0.0673653
+0.0657699
+0.0642095
+0.0626869
+0.0612048
+0.0597662
+0.0583745
+0.0570329
+0.0557452
+0.0545151
+0.0533467
+0.0522101
+0.0511163
+0.0498876
+0.0479746
+0.0460863
+0.0442259
+0.0423971
+0.0405808
+0.0388005
+0.0370642
+0.03537
+0.0337257
+0.0321466
+0.0306243
+0.0291763
+0.0278212
+0.0265476
+0.0253913
+0.0243334
+0.0234073
+0.0226311
+0.021945
+0.021395
+0.0209478
+0.0207053
+0.020637
+0.020699
+0.0209629
+0.0214319
+0.0220887
+0.0229362
+0.0238257
+0.0248619
+0.0260142
+0.0272924
+0.0286492
+0.0300745
+0.0315856
+0.033075
+0.0346264
+0.0362439
+0.0379189
+0.0395742
+0.0412754
+0.043019
+0.0448019
+0.0466196
+0.0484681
+0.0503441
+0.0522309
+0.0540834
+0.0559527
+0.0578436
+0.0597335
+0.0616324
+0.0635501
+0.0654849
+0.0674354
+0.0694001
+0.0713781
+0.0733681
+0.0753566
+0.0773049
+0.0792573
+0.0811448
+0.0819178
+0.0827361
+0.083555
+0.0844228
+0.0849819
+0.0854814
+0.0860338
+0.086638
+0.0872912
+0.0879307
+0.0885169
+0.0899122
+0.0889926
+0.0872168
+0.0853775
+0.0835552
+0.0817509
+0.079966
+0.0782017
+0.0764594
+0.0747407
+0.0730473
+0.071381
+0.0697437
+0.0681335
+0.0665564
+0.0650149
+0.0635116
+0.0620492
+0.0606307
+0.0592592
+0.0579382
+0.056671
+0.0554605
+0.0543067
+0.0531327
+0.0511771
+0.0492414
+0.0473278
+0.0454202
+0.0435379
+0.0416723
+0.0398203
+0.0380044
+0.0362133
+0.0344648
+0.0327695
+0.0311362
+0.0295748
+0.0280763
+0.0266699
+0.025344
+0.0241297
+0.0230137
+0.0220316
+0.0212291
+0.0205045
+0.0198599
+0.0193852
+0.0191265
+0.019016
+0.0190837
+0.0193542
+0.0198613
+0.0205683
+0.0214403
+0.0223819
+0.0234816
+0.0246967
+0.0259618
+0.0273419
+0.0287972
+0.0302508
+0.0317891
+0.0334003
+0.0350307
+0.036685
+0.0383871
+0.0401366
+0.0419276
+0.043755
+0.0456145
+0.0475021
+0.0493594
+0.0512107
+0.0530878
+0.0549804
+0.0568692
+0.058779
+0.0607077
+0.0626537
+0.0646154
+0.0665913
+0.0685803
+0.0705607
+0.0725263
+0.0744751
+0.0764342
+0.0784017
+0.0802956
+0.081078
+0.0818854
+0.0827127
+0.0835762
+0.084027
+0.0845321
+0.0850906
+0.0857015
+0.0863618
+0.0869761
+0.0875602
+0.088991
+0.0880618
+0.0871778
+0.0860299
+0.0842217
+0.082432
+0.0806621
+0.0789134
+0.0771872
+0.0754851
+0.0738088
+0.07216
+0.0705408
+0.0689531
+0.0673993
+0.0658816
+0.0644003
+0.0629585
+0.061561
+0.0602098
+0.0589049
+0.0576536
+0.0564597
+0.0546023
+0.0526101
+0.0506344
+0.048677
+0.0467218
+0.0447871
+0.0428769
+0.0409948
+0.039142
+0.0372736
+0.0354421
+0.0336536
+0.0319153
+0.0302358
+0.0286255
+0.0270913
+0.0256292
+0.0242422
+0.0229702
+0.0217935
+0.0207543
+0.0198871
+0.0191007
+0.0184367
+0.0179192
+0.0176096
+0.017476
+0.0175496
+0.0178615
+0.0184099
+0.0191217
+0.0199911
+0.0210419
+0.0221514
+0.0233559
+0.0246874
+0.026062
+0.0274857
+0.0290052
+0.030597
+0.0321816
+0.0338304
+0.0355342
+0.0372889
+0.0390876
+0.0409246
+0.0427948
+0.0446568
+0.0464889
+0.0483508
+0.0502393
+0.0521311
+0.0540307
+0.0559516
+0.0578916
+0.059849
+0.061822
+0.0638092
+0.06578
+0.067756
+0.069709
+0.0716628
+0.0736286
+0.075601
+0.0775721
+0.079476
+0.0802664
+0.0810781
+0.0819136
+0.0826631
+0.0831188
+0.0836294
+0.0841939
+0.0848113
+0.0854785
+0.0860581
+0.0866462
+0.0881148
+0.0871762
+0.0862831
+0.085435
+0.0846333
+0.0831653
+0.0814113
+0.079679
+0.0779698
+0.0762851
+0.0746268
+0.0729965
+0.0713963
+0.0698281
+0.0682941
+0.0667957
+0.0653364
+0.0639189
+0.0625419
+0.0612099
+0.0599267
+0.0582384
+0.0562044
+0.0541825
+0.0521743
+0.0501813
+0.0481877
+0.0462105
+0.0442534
+0.0423192
+0.0404111
+0.0385331
+0.0366559
+0.034792
+0.0329682
+0.0311896
+0.0294539
+0.0277821
+0.0261823
+0.0246673
+0.0232391
+0.0219091
+0.0206939
+0.019605
+0.0186579
+0.0178077
+0.0170934
+0.0165202
+0.0161815
+0.0160271
+0.0161245
+0.0164455
+0.016992
+0.0177017
+0.0186244
+0.019734
+0.0208744
+0.0221015
+0.0233918
+0.0247995
+0.0262917
+0.0278114
+0.0293829
+0.0310226
+0.0327259
+0.0344844
+0.0362898
+0.0381357
+0.0400013
+0.0418078
+0.0436496
+0.0455222
+0.0474221
+0.0493118
+0.0512222
+0.0531543
+0.0551058
+0.0570746
+0.0590533
+0.061018
+0.062993
+0.0649621
+0.0669098
+0.0688719
+0.0708474
+0.0728244
+0.0748045
+0.0767873
+0.078671
+0.0794579
+0.0802505
+0.0810944
+0.0817985
+0.082259
+0.0827749
+0.0833452
+0.0839688
+0.0846426
+0.0851843
+0.0857784
+0.0871756
+0.086277
+0.0854251
+0.0845787
+0.0837687
+0.0830087
+0.0821852
+0.0804686
+0.0787756
+0.0771076
+0.0754664
+0.0738536
+0.0722672
+0.070713
+0.0691933
+0.0677104
+0.0662667
+0.0648649
+0.0635077
+0.0620331
+0.0599676
+0.0579112
+0.055865
+0.0538275
+0.0517912
+0.0497679
+0.0477594
+0.0457677
+0.0437946
+0.0418392
+0.0399083
+0.0380055
+0.036089
+0.0341921
+0.0323325
+0.0305167
+0.0287533
+0.0270524
+0.0254114
+0.0238475
+0.02237
+0.0210039
+0.0197302
+0.018536
+0.017472
+0.0165758
+0.0158448
+0.0152098
+0.0148216
+0.0146255
+0.0147051
+0.0150503
+0.0156412
+0.0164111
+0.0173843
+0.0185495
+0.0196235
+0.020837
+0.0221935
+0.0236491
+0.0250992
+0.026648
+0.0282755
+0.0299748
+0.0317345
+0.0335374
+0.0353721
+0.0371828
+0.0389969
+0.0408479
+0.042731
+0.0446316
+0.0465279
+0.0484491
+0.0503923
+0.052355
+0.05432
+0.0562784
+0.058248
+0.0602268
+0.0621794
+0.0641366
+0.0661084
+0.0680936
+0.0700748
+0.0720621
+0.0740459
+0.0760286
+0.0779134
+0.0786742
+0.0794746
+0.0803267
+0.0809839
+0.081449
+0.08197
+0.0825459
+0.0831755
+0.0838115
+0.0843584
+0.0849583
+0.0862701
+0.0853623
+0.0845011
+0.0836885
+0.0829258
+0.0821854
+0.0814695
+0.0808067
+0.079616
+0.0779622
+0.0763354
+0.0747375
+0.0731702
+0.0716356
+0.0701359
+0.0686734
+0.0672504
+0.0658695
+0.063872
+0.0617874
+0.0597033
+0.0576247
+0.0555548
+0.0534944
+0.0514449
+0.0494074
+0.0473837
+0.0453754
+0.0433846
+0.0414098
+0.0394578
+0.0375322
+0.0356372
+0.0337204
+0.0318332
+0.0299873
+0.0281908
+0.0264455
+0.0247538
+0.023146
+0.021591
+0.0201222
+0.0187695
+0.0175584
+0.0164234
+0.0154599
+0.0146915
+0.0140085
+0.0136277
+0.0134088
+0.0134866
+0.0137928
+0.0143877
+0.0152573
+0.0162665
+0.0173461
+0.0184494
+0.0197269
+0.0210843
+0.0224863
+0.0240003
+0.0256087
+0.0272857
+0.0290196
+0.0308117
+0.0326377
+0.0344125
+0.0362328
+0.0380921
+0.0399802
+0.0418765
+0.0437863
+0.0457178
+0.0476716
+0.0496188
+0.0515665
+0.0535299
+0.0555094
+0.0574772
+0.0594277
+0.0613944
+0.0633758
+0.0653699
+0.0673554
+0.0693415
+0.0713149
+0.0732963
+0.0752894
+0.0771801
+0.0779432
+0.078751
+0.0796109
+0.0802209
+0.0806904
+0.0812163
+0.0817975
+0.0824328
+0.0830298
+0.0835818
+0.0841872
+0.085404
+0.0844869
+0.0836168
+0.0827955
+0.0820245
+0.0813052
+0.080639
+0.0800208
+0.0794063
+0.0788479
+0.077253
+0.0756745
+0.074127
+0.0726126
+0.0711335
+0.0696919
+0.0678689
+0.065765
+0.063667
+0.0615754
+0.0594839
+0.0573973
+0.0553189
+0.0532495
+0.0511901
+0.0491421
+0.0471069
+0.0450864
+0.0430821
+0.0410929
+0.0391251
+0.0371822
+0.0352684
+0.0333549
+0.0314429
+0.0295684
+0.0277325
+0.0259399
+0.0242129
+0.0225296
+0.0209165
+0.0193809
+0.0179438
+0.0166444
+0.015496
+0.0144777
+0.013666
+0.0129576
+0.0125033
+0.0122941
+0.0123474
+0.0126846
+0.0133217
+0.0141714
+0.0151757
+0.0162494
+0.0173943
+0.018664
+0.0199897
+0.0214305
+0.02299
+0.0246458
+0.026373
+0.0281632
+0.0299259
+0.0317011
+0.0335206
+0.0353606
+0.0372385
+0.0391449
+0.0410689
+0.0430183
+0.0449591
+0.0468926
+0.0488475
+0.0508215
+0.0528057
+0.0547521
+0.0567117
+0.0586877
+0.0606783
+0.0626761
+0.0646647
+0.0666278
+0.0686048
+0.0705943
+0.0725954
+0.0746072
+0.0764996
+0.0772604
+0.0780752
+0.0789425
+0.079511
+0.0799846
+0.0805151
+0.0811013
+0.0817421
+0.082299
+0.0828559
+0.0834665
+0.0845857
+0.0836598
+0.082781
+0.0819513
+0.0811723
+0.0804454
+0.079772
+0.0791536
+0.0785914
+0.0780798
+0.0775978
+0.0766626
+0.0751355
+0.0736419
+0.0719772
+0.0698597
+0.0677468
+0.065639
+0.0635368
+0.0614408
+0.0593446
+0.057253
+0.0551691
+0.0530938
+0.0510282
+0.0489734
+0.0469309
+0.0449024
+0.0428896
+0.040891
+0.0389129
+0.0369589
+0.0350176
+0.0330783
+0.0311534
+0.0292659
+0.0274229
+0.0255871
+0.0237951
+0.0220752
+0.0203892
+0.0188016
+0.0173164
+0.0159661
+0.0147822
+0.0136819
+0.0127682
+0.0120545
+0.0115446
+0.0113177
+0.0113662
+0.0116936
+0.0123282
+0.0131953
+0.0141569
+0.0152092
+0.0163163
+0.0175532
+0.0189447
+0.0204592
+0.0220875
+0.0238061
+0.0255485
+0.0272567
+0.0290298
+0.0308271
+0.0326718
+0.034557
+0.036472
+0.0384049
+0.0403529
+0.0422697
+0.0442118
+0.0461762
+0.0481549
+0.0501191
+0.0520687
+0.0540368
+0.0560215
+0.0580209
+0.0600181
+0.0619736
+0.0639443
+0.0659288
+0.0679261
+0.0699349
+0.0719544
+0.0739836
+0.075867
+0.0766341
+0.0774555
+0.0783296
+0.0788555
+0.0793331
+0.0798679
+0.0804588
+0.0811046
+0.0816204
+0.0821819
+0.0827975
+0.0838167
+0.0828823
+0.0819952
+0.0811575
+0.0803707
+0.0796365
+0.0789563
+0.0783314
+0.0777633
+0.0772531
+0.0767951
+0.0763921
+0.07605
+0.0740521
+0.0719289
+0.0698099
+0.0676955
+0.065586
+0.0634821
+0.0613788
+0.0592785
+0.057185
+0.0550991
+0.0530216
+0.0509536
+0.0488962
+0.046851
+0.0448195
+0.0427835
+0.0407602
+0.038755
+0.0367709
+0.0348117
+0.0328725
+0.0309451
+0.0290483
+0.0271836
+0.0253554
+0.0235082
+0.0217249
+0.0200226
+0.0184237
+0.0169163
+0.0154697
+0.0141596
+0.0130262
+0.0120669
+0.0112785
+0.0107345
+0.010455
+0.0105213
+0.0108767
+0.0114665
+0.0123255
+0.01331
+0.0142422
+0.0153341
+0.0166441
+0.0181057
+0.0196849
+0.0213632
+0.022965
+0.0246575
+0.0264202
+0.0282168
+0.0300621
+0.031951
+0.0338716
+0.0358108
+0.0377164
+0.0396395
+0.0415838
+0.0435491
+0.045535
+0.0474772
+0.0494339
+0.0514095
+0.0534019
+0.0554093
+0.05736
+0.0593221
+0.0612998
+0.0632915
+0.0652959
+0.067312
+0.0693386
+0.0713749
+0.0734201
+0.0752929
+0.0760658
+0.0768933
+0.0777737
+0.0782559
+0.0787371
+0.0792759
+0.0798712
+0.0804853
+0.0809954
+0.0815612
+0.082181
+0.0830984
+0.082156
+0.0812609
+0.0804155
+0.0796214
+0.0788803
+0.0781934
+0.0775624
+0.0769886
+0.0764733
+0.0760176
+0.0756156
+0.07527
+0.0740699
+0.0719473
+0.0698276
+0.0677096
+0.0655964
+0.0634885
+0.0613852
+0.0592852
+0.0571919
+0.0551062
+0.053029
+0.0509545
+0.0488902
+0.0468245
+0.0447693
+0.0427277
+0.0407015
+0.0386933
+0.0367059
+0.034743
+0.0327833
+0.0308488
+0.0289509
+0.0270947
+0.0252255
+0.0233679
+0.021573
+0.0198577
+0.0182092
+0.0166094
+0.0151314
+0.0138019
+0.0126012
+0.0116044
+0.0107989
+0.0102156
+0.00986501
+0.00984298
+0.010176
+0.0108115
+0.0116378
+0.0124735
+0.0134217
+0.0146046
+0.0159746
+0.0175022
+0.0189696
+0.0205244
+0.0221799
+0.0239169
+0.0257149
+0.0275536
+0.0294405
+0.0313568
+0.0332499
+0.0351499
+0.037068
+0.0390147
+0.0409861
+0.0429535
+0.0448936
+0.0468558
+0.0488374
+0.0508345
+0.0527977
+0.0547481
+0.056716
+0.0586997
+0.0606976
+0.0627084
+0.0647309
+0.0667639
+0.0688039
+0.0708521
+0.0729056
+0.0747786
+0.0755567
+0.0763897
+0.0771644
+0.0777134
+0.078198
+0.0787405
+0.0793398
+0.0799115
+0.0804253
+0.0809945
+0.0816078
+0.0824274
+0.081482
+0.0805794
+0.0797268
+0.0789259
+0.0781781
+0.077485
+0.0768482
+0.076269
+0.0757488
+0.0752887
+0.0748899
+0.0745435
+0.0741338
+0.0720092
+0.0698887
+0.0677726
+0.0656614
+0.0635557
+0.0614557
+0.0593546
+0.0572602
+0.0551729
+0.0530918
+0.0510159
+0.0489407
+0.0468759
+0.0448231
+0.042784
+0.0407607
+0.0387555
+0.0367715
+0.0347896
+0.0328272
+0.0308848
+0.0289557
+0.0270665
+0.0252262
+0.023405
+0.0215926
+0.0198301
+0.018161
+0.0165592
+0.0150404
+0.0136392
+0.0124235
+0.0113822
+0.0105022
+0.00982221
+0.00947028
+0.0093566
+0.00966633
+0.010233
+0.0110855
+0.0118401
+0.0128352
+0.0140727
+0.0154984
+0.0168051
+0.0182719
+0.0198679
+0.0215639
+0.0233341
+0.0251705
+0.0270394
+0.0288881
+0.030777
+0.0326626
+0.0345798
+0.0365278
+0.0385019
+0.0404369
+0.042379
+0.0443443
+0.0463148
+0.0482768
+0.0502352
+0.0521894
+0.0541617
+0.0561502
+0.0581532
+0.0601667
+0.0621907
+0.0642257
+0.0662706
+0.0683245
+0.0703783
+0.0724276
+0.0743253
+0.0751081
+0.0758484
+0.0765228
+0.0772293
+0.0777169
+0.0782628
+0.0788657
+0.0793941
+0.0799106
+0.0804725
+0.0810897
+0.0817991
+0.0808522
+0.0799522
+0.0790929
+0.0782854
+0.0775315
+0.0768326
+0.0761903
+0.0756061
+0.0750812
+0.074617
+0.0742146
+0.073865
+0.0735764
+0.072135
+0.0700182
+0.0679062
+0.0657993
+0.0636908
+0.061588
+0.0594915
+0.0574022
+0.0553177
+0.0532352
+0.051157
+0.0490877
+0.0470295
+0.0449837
+0.0429487
+0.0409184
+0.0389054
+0.0369126
+0.0349392
+0.0329562
+0.0310013
+0.02908
+0.0271994
+0.0253687
+0.0235718
+0.0217539
+0.0200012
+0.0182748
+0.0166578
+0.0151781
+0.0137905
+0.012518
+0.0113747
+0.0104222
+0.00969055
+0.00922466
+0.00908332
+0.00933917
+0.00983338
+0.010536
+0.0114857
+0.012509
+0.0137739
+0.014935
+0.0162837
+0.0177719
+0.0193939
+0.0211188
+0.0229234
+0.0247078
+0.0265463
+0.0284191
+0.0302881
+0.0321851
+0.0341099
+0.036065
+0.0380064
+0.0399465
+0.0418804
+0.043822
+0.045786
+0.0477363
+0.0496922
+0.0516648
+0.0536518
+0.0556541
+0.0576701
+0.0596984
+0.0617378
+0.0637872
+0.0658429
+0.0678882
+0.0699423
+0.0719664
+0.0739342
+0.0746242
+0.0752581
+0.0759379
+0.0766742
+0.0772949
+0.0778437
+0.0784499
+0.0789334
+0.0794418
+0.080007
+0.0806278
+0.0812176
+0.0802638
+0.0793591
+0.0785051
+0.0777015
+0.0769418
+0.0762375
+0.0755902
+0.0750013
+0.0744722
+0.0740042
+0.0735984
+0.0732459
+0.0729548
+0.0723269
+0.0702159
+0.0681032
+0.0659956
+0.0638935
+0.0617977
+0.0597071
+0.0576169
+0.0555344
+0.0534603
+0.0513823
+0.0493099
+0.0472482
+0.0451986
+0.0431629
+0.0411431
+0.0391417
+0.0371616
+0.0351777
+0.033209
+0.0312699
+0.0293662
+0.0275053
+0.0256609
+0.0238356
+0.0220768
+0.0203205
+0.0186237
+0.0170327
+0.015502
+0.0140057
+0.0126134
+0.0114318
+0.010484
+0.0097194
+0.00923706
+0.00904007
+0.00919829
+0.00963496
+0.0103343
+0.011312
+0.012373
+0.0134598
+0.0146212
+0.0159835
+0.0174891
+0.0191276
+0.0208319
+0.0225614
+0.0243649
+0.0261639
+0.0279885
+0.0298624
+0.0317769
+0.033725
+0.0356428
+0.0375616
+0.0394724
+0.0414109
+0.0433735
+0.0453048
+0.0472546
+0.0492246
+0.0512125
+0.0532164
+0.0552345
+0.0572652
+0.0593074
+0.0613441
+0.0633831
+0.0654319
+0.0674697
+0.0694928
+0.0715257
+0.0734701
+0.0740366
+0.0746631
+0.0753481
+0.0760901
+0.0768873
+0.0774844
+0.0780671
+0.07852
+0.0790311
+0.0795992
+0.0802231
+0.0806913
+0.0797313
+0.0788204
+0.0779605
+0.0771533
+0.0764003
+0.0757012
+0.0750492
+0.074456
+0.073923
+0.0734515
+0.0730427
+0.0726875
+0.0723942
+0.0721662
+0.070468
+0.0683631
+0.0662637
+0.0641702
+0.0620757
+0.0599798
+0.0578884
+0.0558046
+0.0537258
+0.0516545
+0.0495935
+0.047544
+0.0455078
+0.0434865
+0.0414825
+0.0394954
+0.0374975
+0.0355224
+0.033574
+0.0316573
+0.0297709
+0.0279113
+0.0260595
+0.0242421
+0.0224403
+0.0206725
+0.0189717
+0.0173438
+0.015759
+0.0142521
+0.0128953
+0.0116472
+0.0106616
+0.00992113
+0.00944695
+0.00920282
+0.0093014
+0.0097144
+0.0104088
+0.0112173
+0.0122047
+0.0133349
+0.0145626
+0.0159161
+0.0174053
+0.0189864
+0.0206378
+0.0223366
+0.0240588
+0.0258464
+0.027692
+0.0295847
+0.0314483
+0.0333468
+0.0352671
+0.0371667
+0.0390968
+0.0410219
+0.0429502
+0.0448953
+0.0468621
+0.048848
+0.0508507
+0.0528683
+0.0548942
+0.0569113
+0.0589408
+0.0609814
+0.0630322
+0.0650465
+0.0670711
+0.0691058
+0.0711497
+0.0729261
+0.0734968
+0.0741279
+0.0748178
+0.075565
+0.0763677
+0.0771856
+0.0777108
+0.0781658
+0.0786792
+0.0792498
+0.0798765
+0.0802215
+0.0792557
+0.0783394
+0.0774741
+0.0766617
+0.0759039
+0.0752022
+0.0745574
+0.0739679
+0.0734352
+0.0729605
+0.0725489
+0.0721913
+0.0718959
+0.0716664
+0.070785
+0.0686822
+0.0665758
+0.0644751
+0.0623805
+0.0602928
+0.0582126
+0.0561408
+0.0540749
+0.0520176
+0.0499715
+0.0479383
+0.0459195
+0.0439172
+0.0419194
+0.0399227
+0.0379473
+0.0359968
+0.0340657
+0.0321656
+0.0303047
+0.0284347
+0.0265714
+0.0246998
+0.0228791
+0.0211289
+0.0193786
+0.0176825
+0.0160942
+0.0146042
+0.0132183
+0.0120012
+0.011024
+0.010241
+0.0097016
+0.00947514
+0.0094351
+0.00979375
+0.0103808
+0.0112635
+0.012203
+0.0133178
+0.0145349
+0.0159328
+0.0174343
+0.0189444
+0.0205098
+0.0221813
+0.0239147
+0.0257072
+0.0274846
+0.0293154
+0.0311898
+0.0330644
+0.0349522
+0.0368736
+0.0387676
+0.0406875
+0.0426308
+0.0445898
+0.0465696
+0.0485674
+0.0505593
+0.0525612
+0.0545766
+0.056605
+0.0586452
+0.0606699
+0.0626827
+0.0647071
+0.0667419
+0.0687546
+0.0707523
+0.0724444
+0.0730188
+0.073654
+0.0743483
+0.0751002
+0.0759078
+0.0767694
+0.0774149
+0.0778716
+0.0783869
+0.0789597
+0.0795886
+0.0798027
+0.0788382
+0.0779169
+0.0770469
+0.07623
+0.0754678
+0.0747621
+0.0741135
+0.0735204
+0.0729883
+0.0725185
+0.0721122
+0.0717585
+0.0714614
+0.0712305
+0.0710664
+0.0690252
+0.0669296
+0.0648404
+0.062758
+0.0606832
+0.0586169
+0.05656
+0.05451
+0.0524696
+0.0504419
+0.0484284
+0.046431
+0.0444273
+0.0424354
+0.0404633
+0.038505
+0.0365731
+0.0346719
+0.0327515
+0.0308644
+0.0289965
+0.0270979
+0.0252289
+0.0233859
+0.0215901
+0.0198668
+0.0181994
+0.0166506
+0.0151587
+0.0137855
+0.0125932
+0.0115855
+0.0107595
+0.0101142
+0.00974152
+0.00964331
+0.0099394
+0.0105469
+0.0114054
+0.0124285
+0.0134055
+0.0146145
+0.015989
+0.0174435
+0.0190001
+0.0205613
+0.0222253
+0.0238603
+0.0255786
+0.0273644
+0.0291574
+0.0309869
+0.0328517
+0.0347511
+0.0366367
+0.0385383
+0.0404691
+0.0424141
+0.0443633
+0.0463249
+0.0483023
+0.0502973
+0.052308
+0.0543326
+0.0563696
+0.0583755
+0.0603853
+0.0624071
+0.0644295
+0.0664128
+0.0684087
+0.0704162
+0.0720261
+0.0726039
+0.0732426
+0.0739408
+0.0746967
+0.0755087
+0.0763748
+0.0771768
+0.077635
+0.0781518
+0.0787263
+0.0793571
+0.0794353
+0.0784774
+0.0775518
+0.0766776
+0.0758567
+0.0750907
+0.0743814
+0.0737304
+0.0731358
+0.0726009
+0.0721285
+0.0717201
+0.0713765
+0.0710918
+0.0708596
+0.0706946
+0.0694357
+0.0673529
+0.0652772
+0.0632092
+0.0611497
+0.0590997
+0.0570602
+0.0550288
+0.0530085
+0.0510022
+0.0490076
+0.0470056
+0.045018
+0.043044
+0.0410919
+0.0391394
+0.0371767
+0.0352409
+0.0333367
+0.0314265
+0.0295078
+0.0276281
+0.0257976
+0.0239911
+0.0222268
+0.0205275
+0.0188965
+0.0173511
+0.0159039
+0.0145722
+0.0134222
+0.0123332
+0.0113391
+0.0105845
+0.010124
+0.0100319
+0.0103604
+0.0109242
+0.0117664
+0.0126847
+0.0136462
+0.0147987
+0.0161462
+0.0176021
+0.0191318
+0.0206782
+0.0222577
+0.0239213
+0.0255825
+0.0273001
+0.0290814
+0.0309154
+0.0327562
+0.0346073
+0.0364945
+0.0383912
+0.0402969
+0.0422274
+0.0441709
+0.0461365
+0.0481216
+0.0501238
+0.0521412
+0.0541599
+0.0561481
+0.0581504
+0.0601659
+0.0621565
+0.0641352
+0.0661273
+0.0681316
+0.0701341
+0.0716723
+0.0722529
+0.0728948
+0.0735962
+0.0743557
+0.0751713
+0.0760413
+0.0769638
+0.0774508
+0.0779689
+0.0785447
+0.0791769
+0.0791166
+0.0781671
+0.0772414
+0.0763637
+0.0755393
+0.0747701
+0.0740577
+0.0734038
+0.07281
+0.0722775
+0.0718033
+0.071393
+0.0710478
+0.0707689
+0.0705549
+0.0703892
+0.0699125
+0.0678443
+0.0657841
+0.0637325
+0.0616906
+0.0596592
+0.0576394
+0.0556292
+0.053623
+0.051614
+0.0496204
+0.0476441
+0.0456555
+0.0436559
+0.0416757
+0.0397175
+0.0377848
+0.0358532
+0.033938
+0.0320348
+0.030155
+0.0283183
+0.0265132
+0.0247197
+0.0229951
+0.0213387
+0.0197508
+0.0182538
+0.0168338
+0.0155452
+0.0142721
+0.0130382
+0.0120335
+0.0113091
+0.0108382
+0.0107396
+0.0109739
+0.0114966
+0.0122092
+0.0130768
+0.0139748
+0.0150925
+0.0163513
+0.017752
+0.0192214
+0.0207735
+0.0223829
+0.0240183
+0.0256538
+0.027367
+0.0291289
+0.0309
+0.0327219
+0.0345747
+0.0364187
+0.038295
+0.0402026
+0.042127
+0.0440751
+0.0460451
+0.0480342
+0.0500401
+0.0520247
+0.0540022
+0.0559956
+0.0580016
+0.0599574
+0.0619289
+0.0639146
+0.0659134
+0.067924
+0.0697863
+0.071384
+0.071967
+0.0726113
+0.0733155
+0.0740778
+0.0748965
+0.0757696
+0.0766953
+0.0773283
+0.0778472
+0.0784239
+0.0790571
+0.0788576
+0.0779049
+0.076992
+0.0761115
+0.0752844
+0.0745125
+0.0737977
+0.0731414
+0.0725454
+0.0720112
+0.0715401
+0.0711319
+0.0707855
+0.0705055
+0.0702926
+0.0701476
+0.0700527
+0.0684023
+0.0663594
+0.0643263
+0.0623038
+0.0602833
+0.0582568
+0.0562427
+0.0542423
+0.0522571
+0.0502549
+0.0482471
+0.0462558
+0.0442834
+0.0423325
+0.0403704
+0.0384305
+0.0365191
+0.0346343
+0.0327576
+0.0309222
+0.0291182
+0.027336
+0.0256002
+0.0239331
+0.0223134
+0.0207529
+0.0192774
+0.0178509
+0.0164266
+0.0150819
+0.0139094
+0.0129505
+0.0122384
+0.0117172
+0.0115212
+0.0116795
+0.0121148
+0.0128193
+0.0136066
+0.014468
+0.015555
+0.0167364
+0.0180651
+0.0194975
+0.0209845
+0.0225822
+0.0242725
+0.0259043
+0.0275522
+0.0292547
+0.0310186
+0.0327822
+0.0345783
+0.0364176
+0.0382939
+0.0401959
+0.0421194
+0.0440679
+0.0460382
+0.0480276
+0.0499899
+0.0519525
+0.0539326
+0.0558967
+0.0578407
+0.0598017
+0.0617782
+0.0637686
+0.0657718
+0.0676372
+0.0695059
+0.0711555
+0.0717403
+0.0723867
+0.0730931
+0.0738577
+0.0746787
+0.0755544
+0.0764779
+0.0772677
+0.077787
+0.0783641
+0.0789978
+0.07865
+0.0776975
+0.0767765
+0.0759057
+0.0750887
+0.0743187
+0.0736019
+0.0729439
+0.0723463
+0.0718106
+0.0713381
+0.0709302
+0.070588
+0.0703093
+0.0700959
+0.0699505
+0.0698735
+0.0690254
+0.066994
+0.0649584
+0.0629308
+0.0609136
+0.0589089
+0.0569178
+0.0549061
+0.0528934
+0.0508954
+0.0489138
+0.0469438
+0.0449674
+0.0430118
+0.0410798
+0.0391752
+0.0373019
+0.0354315
+0.0335993
+0.0317986
+0.0300325
+0.0283048
+0.0266322
+0.0249676
+0.0233665
+0.0217933
+0.0202258
+0.0187685
+0.0173675
+0.0161016
+0.0149884
+0.013992
+0.0132151
+0.0126837
+0.0124471
+0.0125472
+0.0129247
+0.0135925
+0.0142807
+0.0151628
+0.0161437
+0.0172939
+0.0185437
+0.0199274
+0.0213852
+0.0229548
+0.0245649
+0.0261749
+0.0278549
+0.0295129
+0.0311898
+0.0329271
+0.0347157
+0.0365481
+0.0384171
+0.0403072
+0.0422257
+0.0441695
+0.0461354
+0.0480657
+0.0499961
+0.0519472
+0.0538878
+0.0558157
+0.0577624
+0.059726
+0.0617049
+0.0636936
+0.0655642
+0.0674191
+0.0692936
+0.0709625
+0.0715736
+0.0722214
+0.0729294
+0.0736957
+0.0745185
+0.0753961
+0.0763215
+0.0772692
+0.0777885
+0.0783656
+0.0789993
+0.0785
+0.0775455
+0.0766228
+0.0757502
+0.0749315
+0.0741685
+0.0734617
+0.072806
+0.0722108
+0.0716764
+0.071203
+0.0707943
+0.0704514
+0.0701753
+0.0699666
+0.0698216
+0.0697445
+0.0696587
+0.0676324
+0.0656143
+0.0636068
+0.0616119
+0.059597
+0.0575815
+0.0555793
+0.0535919
+0.0516061
+0.0496222
+0.0476562
+0.0457106
+0.0437881
+0.041892
+0.040026
+0.0381696
+0.0363434
+0.034548
+0.0327834
+0.0310681
+0.029375
+0.027685
+0.0260385
+0.024386
+0.0227744
+0.0212634
+0.0198209
+0.0184404
+0.0172022
+0.0160723
+0.0151227
+0.014339
+0.0138003
+0.013566
+0.0136526
+0.0139708
+0.014479
+0.0151851
+0.0159246
+0.0168667
+0.0180124
+0.0191565
+0.0204615
+0.0218755
+0.0234094
+0.0249712
+0.0265712
+0.0282235
+0.0298177
+0.0314837
+0.0332107
+0.0349891
+0.0368087
+0.0386587
+0.0405368
+0.0424449
+0.0443466
+0.0462247
+0.0481293
+0.0500573
+0.0519859
+0.0538929
+0.0558207
+0.0577672
+0.0597246
+0.0616594
+0.0635595
+0.0654125
+0.0669896
+0.0683296
+0.0697127
+0.0711363
+0.0721224
+0.0728313
+0.0735986
+0.0744225
+0.0753012
+0.0762277
+0.0771982
+0.0778517
+0.0784283
+0.0790615
+0.0784014
+0.0774489
+0.0765315
+0.0756578
+0.0748381
+0.0740742
+0.0733677
+0.0727203
+0.0721268
+0.071593
+0.0711227
+0.0707172
+0.0703776
+0.0701017
+0.0698929
+0.0697522
+0.0696802
+0.0696757
+0.0683269
+0.0663293
+0.0643147
+0.0623021
+0.0602974
+0.0582987
+0.0562995
+0.0543152
+0.0523466
+0.050392
+0.0484571
+0.046545
+0.0446585
+0.042801
+0.040959
+0.0391331
+0.0373247
+0.0355593
+0.0338437
+0.0321678
+0.0304548
+0.0287361
+0.0270391
+0.0254068
+0.0238642
+0.0223748
+0.0209336
+0.0196123
+0.0184194
+0.0173002
+0.0163383
+0.0155945
+0.0150948
+0.0148507
+0.0148655
+0.015091
+0.0155296
+0.0161603
+0.0168571
+0.0177499
+0.0187751
+0.0198917
+0.0211649
+0.0225621
+0.0239938
+0.025516
+0.0270671
+0.0286954
+0.0302647
+0.0319074
+0.0336126
+0.0353713
+0.0371759
+0.0389901
+0.0408187
+0.0426815
+0.0445234
+0.0463944
+0.0482743
+0.0501479
+0.0520405
+0.0539557
+0.0558846
+0.0578
+0.0596621
+0.0615459
+0.063147
+0.0644179
+0.0657373
+0.0671023
+0.0685101
+0.0699583
+0.0714442
+0.072799
+0.0735667
+0.0743909
+0.0752699
+0.0761969
+0.0771677
+0.0779764
+0.0785521
+0.0791843
+0.0783616
+0.0774086
+0.0765028
+0.0756288
+0.0748088
+0.0740445
+0.0733378
+0.0726902
+0.0721033
+0.0715753
+0.0711049
+0.0706993
+0.0703596
+0.0700837
+0.0698748
+0.0697341
+0.0696621
+0.0696589
+0.0690377
+0.0670266
+0.0650272
+0.0630262
+0.0610247
+0.0590366
+0.0570633
+0.0551065
+0.0531672
+0.0512438
+0.0493424
+0.047466
+0.0456176
+0.0437707
+0.0419335
+0.0401317
+0.0383704
+0.0366554
+0.0349936
+0.033213
+0.0314631
+0.0297717
+0.0281343
+0.0265694
+0.0250093
+0.0235251
+0.0221584
+0.0208573
+0.0196486
+0.0185812
+0.0176975
+0.0170123
+0.0165135
+0.0162206
+0.0161294
+0.0162563
+0.0166025
+0.0171585
+0.0179209
+0.0187206
+0.0196734
+0.0207728
+0.0219895
+0.0233098
+0.0247096
+0.0261541
+0.0276912
+0.0292286
+0.0308002
+0.0324437
+0.0341314
+0.0358195
+0.0375595
+0.039337
+0.0411311
+0.042948
+0.0447667
+0.0465935
+0.0484268
+0.0502888
+0.0521763
+0.0540867
+0.0559224
+0.057762
+0.0594597
+0.0606497
+0.0618944
+0.0631905
+0.064535
+0.0659249
+0.0673574
+0.0688297
+0.0703396
+0.0718844
+0.0734621
+0.0744238
+0.0753025
+0.076229
+0.0771995
+0.0781623
+0.0787367
+0.0793674
+0.0783785
+0.0774258
+0.0765239
+0.0756633
+0.0748436
+0.0740797
+0.0733733
+0.072726
+0.0721394
+0.0716151
+0.071154
+0.0707493
+0.0704098
+0.0701341
+0.0699253
+0.0697848
+0.0697128
+0.0697096
+0.0697707
+0.067778
+0.0657751
+0.0637846
+0.0618077
+0.0598456
+0.0578999
+0.0559724
+0.0540642
+0.0521739
+0.0503076
+0.0484574
+0.0466014
+0.0447731
+0.0429787
+0.0412226
+0.03951
+0.0377946
+0.0360009
+0.0342534
+0.0325595
+0.0309196
+0.0292946
+0.0277065
+0.0261915
+0.0247778
+0.0234198
+0.022143
+0.0210091
+0.0199948
+0.0191358
+0.0184581
+0.0179158
+0.0175492
+0.0174057
+0.0175057
+0.0178167
+0.0183054
+0.0189936
+0.0197853
+0.0206917
+0.0217453
+0.0229221
+0.0241992
+0.0255306
+0.0269306
+0.0284047
+0.0298996
+0.0314505
+0.0330617
+0.0346659
+0.0363292
+0.0380417
+0.0397585
+0.04152
+0.043278
+0.0450565
+0.0468476
+0.0486714
+0.0505243
+0.0523742
+0.0541571
+0.0557112
+0.0569088
+0.0581643
+0.0594252
+0.0606951
+0.0620163
+0.0633857
+0.0648002
+0.066257
+0.0677533
+0.0692866
+0.0708544
+0.0724545
+0.0740849
+0.0753986
+0.076324
+0.0772933
+0.0783118
+0.0789816
+0.0796103
+0.0784493
+0.0774974
+0.0765963
+0.0757479
+0.0749425
+0.0741796
+0.0734741
+0.0728277
+0.072242
+0.0717185
+0.0712584
+0.0708632
+0.070528
+0.0702528
+0.0700444
+0.0699041
+0.0698322
+0.069829
+0.0698946
+0.0685539
+0.0665744
+0.0646085
+0.0626575
+0.0607229
+0.0588063
+0.0569094
+0.0550337
+0.053172
+0.0513123
+0.0494641
+0.047645
+0.0458583
+0.0441081
+0.0423988
+0.0406226
+0.0388359
+0.0370925
+0.0353989
+0.0337235
+0.0320652
+0.0304556
+0.0289187
+0.0274706
+0.0260596
+0.0247299
+0.0235242
+0.022435
+0.021434
+0.0205542
+0.0198411
+0.01933
+0.0189692
+0.0188346
+0.0188892
+0.0191217
+0.0195645
+0.0201481
+0.0209142
+0.0218051
+0.0227968
+0.0239154
+0.0251305
+0.0264293
+0.0277964
+0.0291906
+0.0306682
+0.0321899
+0.0337192
+0.035301
+0.0369373
+0.0385796
+0.0402708
+0.0419626
+0.0436663
+0.0454117
+0.0471942
+0.0489865
+0.0507694
+0.0521233
+0.0532265
+0.0543906
+0.0556166
+0.0569006
+0.0582387
+0.0595522
+0.0608982
+0.0622922
+0.063731
+0.0652117
+0.0667314
+0.0682876
+0.0698779
+0.0714956
+0.07314
+0.0748123
+0.0763342
+0.0773273
+0.0783657
+0.0792863
+0.0799127
+0.0785695
+0.0776308
+0.0767313
+0.0758844
+0.0750919
+0.0743439
+0.07364
+0.0729951
+0.0724107
+0.0718884
+0.0714295
+0.0710352
+0.0707066
+0.0704339
+0.070226
+0.070086
+0.0700144
+0.0700112
+0.0700766
+0.0693903
+0.0674353
+0.0654953
+0.0635716
+0.0616656
+0.0597792
+0.0579131
+0.0560439
+0.0541919
+0.0523537
+0.0505435
+0.0487647
+0.0470206
+0.0453024
+0.0434873
+0.0417083
+0.0399701
+0.0382666
+0.036549
+0.0348821
+0.033266
+0.031714
+0.0301995
+0.0287507
+0.0274005
+0.0261365
+0.0249193
+0.0238244
+0.0228464
+0.0220139
+0.0213367
+0.0208289
+0.020504
+0.0203393
+0.0203109
+0.0204888
+0.0208581
+0.0214234
+0.0221291
+0.0229898
+0.02397
+0.0249987
+0.0261688
+0.0273961
+0.0286775
+0.0300297
+0.0314503
+0.0329115
+0.0344226
+0.0359758
+0.0375692
+0.0391942
+0.0408013
+0.0424497
+0.0441256
+0.0458282
+0.0475702
+0.0487451
+0.0497304
+0.0507911
+0.0519226
+0.0531155
+0.0543703
+0.055683
+0.0570497
+0.0584665
+0.0598394
+0.0612575
+0.0627201
+0.0642241
+0.0657666
+0.067343
+0.0689472
+0.0705829
+0.072248
+0.0739406
+0.0756587
+0.0773539
+0.0783911
+0.0794677
+0.0802736
+0.0787385
+0.0778021
+0.0769167
+0.0760838
+0.0752933
+0.0745589
+0.0738705
+0.0732277
+0.0726452
+0.0721245
+0.0716671
+0.0712741
+0.0709466
+0.0706813
+0.0704742
+0.0703347
+0.0702633
+0.0702601
+0.0703253
+0.070285
+0.0683557
+0.0664425
+0.064547
+0.0626708
+0.0608017
+0.0589388
+0.0570943
+0.0552658
+0.0534645
+0.0516933
+0.0499554
+0.0481877
+0.0463821
+0.0446109
+0.0428779
+0.0411174
+0.0394
+0.0377318
+0.0361033
+0.0345129
+0.0329764
+0.031503
+0.0301169
+0.0287786
+0.0275065
+0.0263527
+0.025295
+0.0243549
+0.0235597
+0.0229131
+0.0224308
+0.0220361
+0.0218278
+0.0217804
+0.0219265
+0.0222443
+0.0227512
+0.0233742
+0.0241799
+0.0250809
+0.0261349
+0.0272857
+0.0284009
+0.0296353
+0.0309418
+0.0322833
+0.0336661
+0.0351311
+0.0366504
+0.0381858
+0.0397289
+0.0413291
+0.0429492
+0.0445959
+0.0456434
+0.0464881
+0.0474192
+0.0484314
+0.04952
+0.0506799
+0.0519013
+0.0531848
+0.0545261
+0.055921
+0.0573657
+0.0588297
+0.0602716
+0.0617575
+0.0632843
+0.0648493
+0.0664455
+0.0680708
+0.0697271
+0.0714122
+0.073124
+0.0748609
+0.076621
+0.0784028
+0.0795531
+0.0806737
+0.0789679
+0.0780342
+0.0771515
+0.0763214
+0.0755458
+0.0748194
+0.0741325
+0.0735011
+0.0729208
+0.0724022
+0.0719465
+0.071555
+0.0712288
+0.0709688
+0.0707756
+0.0706499
+0.0705793
+0.0705762
+0.070641
+0.0707736
+0.0693331
+0.0674476
+0.0655759
+0.0637058
+0.0618534
+0.0600163
+0.0581971
+0.0564044
+0.0546407
+0.0529088
+0.051098
+0.0493015
+0.0475138
+0.0457216
+0.0439656
+0.0422502
+0.0405718
+0.0389412
+0.0373445
+0.0358061
+0.0343143
+0.0328842
+0.0314884
+0.0301794
+0.0289689
+0.0278564
+0.0268448
+0.0259595
+0.0251744
+0.024519
+0.0239598
+0.023585
+0.0233609
+0.0232745
+0.0233565
+0.0235997
+0.0240017
+0.024593
+0.0253604
+0.026246
+0.0272548
+0.0282513
+0.0293604
+0.0305691
+0.0318353
+0.033092
+0.0344423
+0.0358757
+0.0373453
+0.0388446
+0.0403624
+0.041907
+0.0428284
+0.0435226
+0.0443143
+0.0451966
+0.046159
+0.0471985
+0.0483148
+0.049503
+0.0507527
+0.0520645
+0.0534339
+0.0548566
+0.0563287
+0.0578394
+0.059348
+0.0608564
+0.0624053
+0.0639918
+0.0656088
+0.0672544
+0.0689303
+0.0706344
+0.0723647
+0.0741193
+0.0758966
+0.0776951
+0.0795132
+0.0808172
+0.0792572
+0.078327
+0.0774476
+0.0766207
+0.0758481
+0.0751248
+0.0744408
+0.0738154
+0.0732502
+0.0727431
+0.0722896
+0.0719
+0.0715754
+0.0713166
+0.0711244
+0.0709993
+0.0709416
+0.0709516
+0.071023
+0.0711549
+0.070364
+0.0684848
+0.0666246
+0.0647846
+0.0629552
+0.0611449
+0.0593604
+0.0576038
+0.0558453
+0.0540291
+0.0521907
+0.0503744
+0.048589
+0.046838
+0.0451234
+0.0434428
+0.0418094
+0.0402154
+0.03867
+0.0371712
+0.0356864
+0.0342642
+0.0329197
+0.0316659
+0.0305006
+0.0294333
+0.0284598
+0.0275268
+0.0267127
+0.0260483
+0.025516
+0.0251052
+0.0248293
+0.0247127
+0.0247661
+0.0249953
+0.0253772
+0.0259113
+0.0265855
+0.0274115
+0.0283789
+0.0293402
+0.0304095
+0.0315701
+0.0327879
+0.0340103
+0.0353241
+0.0367104
+0.0381108
+0.0395799
+0.0403891
+0.0409116
+0.0415223
+0.042238
+0.0430533
+0.0439609
+0.0449498
+0.0460218
+0.0471713
+0.0483926
+0.0496742
+0.0510138
+0.0524106
+0.0538604
+0.0553589
+0.0568954
+0.0584706
+0.0600218
+0.0615917
+0.0631986
+0.0648354
+0.0665001
+0.0681946
+0.0699166
+0.0716642
+0.0734356
+0.0752291
+0.0770431
+0.0788762
+0.0807272
+0.0796058
+0.0786797
+0.0778042
+0.0769812
+0.0762123
+0.0754926
+0.0748119
+0.0741897
+0.0736274
+0.0731264
+0.0726881
+0.0723098
+0.071987
+0.0717297
+0.0715386
+0.0714142
+0.0713569
+0.0713668
+0.0714439
+0.071588
+0.0714096
+0.0695586
+0.0677279
+0.0659086
+0.0641069
+0.0623301
+0.0605805
+0.0587644
+0.0569049
+0.0550698
+0.0532616
+0.0514831
+0.0497375
+0.0480221
+0.046343
+0.0447073
+0.0431166
+0.0415648
+0.0400343
+0.038534
+0.037091
+0.0357186
+0.0344289
+0.0332233
+0.0320638
+0.0309706
+0.029962
+0.0290682
+0.0282686
+0.0275924
+0.0270172
+0.0266071
+0.0263273
+0.0262144
+0.0262359
+0.0264201
+0.0267583
+0.0272589
+0.0278979
+0.0286504
+0.0295038
+0.0304677
+0.0315192
+0.0326351
+0.0338293
+0.0350239
+0.0362918
+0.0375932
+0.0383724
+0.0386762
+0.0391006
+0.0396417
+0.0402931
+0.0410302
+0.0418691
+0.0428018
+0.0438169
+0.0449159
+0.0460929
+0.0473421
+0.0486579
+0.0500349
+0.0514588
+0.0529346
+0.0544586
+0.0560212
+0.0576203
+0.0592565
+0.0608462
+0.0624722
+0.0641276
+0.0658102
+0.067522
+0.0692607
+0.0710245
+0.0728114
+0.0746199
+0.0764484
+0.078218
+0.0798123
+0.0800126
+0.0790915
+0.0782206
+0.077402
+0.0766374
+0.0759218
+0.075245
+0.0746264
+0.0740674
+0.0735695
+0.0731338
+0.0727614
+0.0724535
+0.0722069
+0.0720171
+0.0718935
+0.0718366
+0.0718464
+0.071923
+0.0720662
+0.0722754
+0.070684
+0.0688747
+0.0670812
+0.0653118
+0.0635196
+0.0616479
+0.0597978
+0.0579715
+0.0561712
+0.0543996
+0.0526588
+0.0509443
+0.0492674
+0.0476303
+0.046037
+0.0444661
+0.0429106
+0.0414076
+0.0399581
+0.0385633
+0.0371957
+0.0358998
+0.034669
+0.0335354
+0.0324862
+0.0315148
+0.0306231
+0.0298199
+0.0291332
+0.0285863
+0.0281762
+0.0278902
+0.027741
+0.0277428
+0.0279145
+0.0282258
+0.0286795
+0.0292293
+0.0299169
+0.0307346
+0.031659
+0.0326626
+0.0337426
+0.0348929
+0.0360683
+0.0368849
+0.036951
+0.0371374
+0.0374512
+0.0378893
+0.0384474
+0.0391205
+0.0399013
+0.0407676
+0.0417253
+0.0427662
+0.0438916
+0.0450953
+0.0463714
+0.047714
+0.0491174
+0.0505671
+0.0520682
+0.0536169
+0.055209
+0.056841
+0.0585005
+0.0601712
+0.061815
+0.0634875
+0.0651866
+0.0669143
+0.0686685
+0.0704471
+0.0722483
+0.0740705
+0.0757394
+0.0773227
+0.0789351
+0.0804627
+0.0795466
+0.0786808
+0.0778671
+0.077107
+0.0764022
+0.0757391
+0.0751245
+0.0745693
+0.0740747
+0.073642
+0.0732722
+0.0729664
+0.0727253
+0.0725496
+0.0724303
+0.0723738
+0.0723836
+0.0724596
+0.0726017
+0.0728095
+0.071852
+0.0700662
+0.0682901
+0.066412
+0.0645512
+0.0627103
+0.0608925
+0.0591001
+0.0573353
+0.0555963
+0.0538861
+0.0522118
+0.0505741
+0.0489588
+0.0473483
+0.045786
+0.0442708
+0.042804
+0.0413369
+0.039936
+0.0386087
+0.0373495
+0.0361673
+0.0350794
+0.0340463
+0.0330993
+0.0321917
+0.0314042
+0.0307304
+0.0301915
+0.029763
+0.029472
+0.0293167
+0.0293185
+0.0294515
+0.0297107
+0.0300812
+0.0305994
+0.0312535
+0.0320187
+0.0328947
+0.0338428
+0.0348791
+0.0359456
+0.0357627
+0.0357135
+0.0357822
+0.0359746
+0.0362985
+0.0367503
+0.0373255
+0.0380184
+0.0388205
+0.0397271
+0.0407184
+0.0417938
+0.0429533
+0.0441839
+0.0454855
+0.0468535
+0.048282
+0.049756
+0.0512809
+0.0528526
+0.0544671
+0.0561206
+0.0578076
+0.0595248
+0.0612291
+0.0629172
+0.0646313
+0.0663735
+0.0681416
+0.0699335
+0.0717477
+0.073308
+0.0748787
+0.0764798
+0.0781096
+0.0809689
+0.0800586
+0.0791984
+0.07839
+0.0776351
+0.0769351
+0.07629
+0.0756821
+0.075131
+0.0746401
+0.0742107
+0.0738438
+0.0735403
+0.0733011
+0.0731268
+0.0730178
+0.0729657
+0.0729754
+0.0730508
+0.0731918
+0.0733979
+0.0730606
+0.0711888
+0.06932
+0.0674706
+0.0656398
+0.0638303
+0.0620453
+0.060287
+0.0585503
+0.0568446
+0.055173
+0.0535229
+0.051869
+0.0502563
+0.0486887
+0.0471637
+0.0456283
+0.0441463
+0.0427252
+0.0413714
+0.0400815
+0.0388679
+0.0377199
+0.0366304
+0.0356261
+0.034654
+0.0337823
+0.0330091
+0.0323601
+0.0318058
+0.0313815
+0.0310802
+0.030927
+0.0309156
+0.0309883
+0.0312002
+0.0315426
+0.0320283
+0.0326286
+0.0333469
+0.0341404
+0.0350373
+0.035182
+0.0348575
+0.0346686
+0.0346176
+0.0347051
+0.0349107
+0.0352444
+0.0357096
+0.0363012
+0.0370126
+0.0378358
+0.0387654
+0.039794
+0.0409008
+0.0420857
+0.0433491
+0.0446842
+0.0460812
+0.0475329
+0.0490295
+0.0505762
+0.0521692
+0.0538042
+0.0554775
+0.0571834
+0.0589188
+0.0606836
+0.0624186
+0.0641461
+0.0658985
+0.0676754
+0.0694068
+0.0709286
+0.0724846
+0.0740727
+0.075691
+0.0773374
+0.0815308
+0.0806269
+0.0797728
+0.0789703
+0.0782209
+0.0775263
+0.0768779
+0.0762847
+0.0757403
+0.0752534
+0.0748275
+0.0744636
+0.0741627
+0.0739255
+0.0737527
+0.0736446
+0.0736016
+0.0736238
+0.0737024
+0.0738421
+0.0740464
+0.0741037
+0.0722438
+0.070403
+0.0685828
+0.0667825
+0.0650048
+0.0632465
+0.0615149
+0.0598134
+0.0581413
+0.0564528
+0.0547998
+0.0531857
+0.0516013
+0.0500264
+0.048486
+0.046992
+0.0455544
+0.0441786
+0.0428627
+0.0416156
+0.0404248
+0.039288
+0.0382141
+0.0371801
+0.036236
+0.0353888
+0.0346328
+0.0339806
+0.0334406
+0.0330327
+0.0327424
+0.0325621
+0.0324861
+0.0325431
+0.0327252
+0.0330502
+0.0334816
+0.034029
+0.0346912
+0.0352744
+0.034675
+0.0342057
+0.0338718
+0.0336774
+0.0336249
+0.033715
+0.0339465
+0.0342979
+0.0347758
+0.035383
+0.0361116
+0.0369548
+0.0379061
+0.0389574
+0.040101
+0.0413137
+0.0426
+0.0439579
+0.0453809
+0.0468602
+0.0483791
+0.0499478
+0.0515619
+0.0532172
+0.0549091
+0.0566346
+0.0583888
+0.0601691
+0.0619758
+0.063719
+0.0654817
+0.0671037
+0.0686066
+0.0701457
+0.0717187
+0.0733234
+0.0749578
+0.07662
+0.0821474
+0.0812502
+0.0804028
+0.0796067
+0.0788633
+0.0781686
+0.0775234
+0.0769351
+0.0764052
+0.0759249
+0.0755027
+0.0751422
+0.074844
+0.074609
+0.0744377
+0.0743306
+0.074288
+0.07431
+0.0743965
+0.0745451
+0.0747474
+0.0750131
+0.0733491
+0.0715367
+0.0697461
+0.0679709
+0.0662179
+0.0644917
+0.0627944
+0.0610855
+0.0593998
+0.0577481
+0.0561112
+0.0544905
+0.0529109
+0.0513716
+0.0498678
+0.0484165
+0.0470224
+0.0456847
+0.0444042
+0.0431708
+0.0419933
+0.0408638
+0.0397663
+0.0387615
+0.0378431
+0.0370137
+0.0362801
+0.0356503
+0.0351359
+0.0347281
+0.0343987
+0.0341793
+0.0340943
+0.0341252
+0.034296
+0.0345539
+0.0349475
+0.0354723
+0.0351744
+0.0344403
+0.0338262
+0.0333449
+0.0330023
+0.0328028
+0.0327489
+0.0328414
+0.033079
+0.0334449
+0.033939
+0.034561
+0.0353081
+0.0361727
+0.0371465
+0.0382212
+0.0393886
+0.0406405
+0.041952
+0.0433302
+0.0447732
+0.0462744
+0.0478132
+0.0493999
+0.0510313
+0.0527033
+0.0544112
+0.0561519
+0.0579232
+0.0597223
+0.0615468
+0.0633637
+0.0648646
+0.066348
+0.0678676
+0.0694231
+0.0710122
+0.0726325
+0.0742821
+0.075959
+0.0828173
+0.0819275
+0.0810871
+0.0802978
+0.079559
+0.0788643
+0.0782248
+0.0776419
+0.0771168
+0.0766508
+0.076235
+0.0758779
+0.0755826
+0.0753499
+0.0751803
+0.0750743
+0.0750321
+0.0750539
+0.0751396
+0.0752889
+0.0754998
+0.0757629
+0.0745024
+0.0727183
+0.0709474
+0.0692004
+0.0674794
+0.0657539
+0.0640441
+0.0623615
+0.0606813
+0.0590235
+0.0574015
+0.0558183
+0.0542774
+0.0527688
+0.051306
+0.0498965
+0.0485404
+0.0472175
+0.0459558
+0.0447281
+0.0435486
+0.0424079
+0.0413519
+0.0403853
+0.0394939
+0.0386837
+0.0379824
+0.0373542
+0.0368229
+0.0363941
+0.036054
+0.0358305
+0.0357281
+0.0357406
+0.0358561
+0.0361029
+0.0362887
+0.0353205
+0.0344504
+0.0337005
+0.0330789
+0.032593
+0.0322435
+0.0320392
+0.031984
+0.0320787
+0.0323086
+0.0326827
+0.0331974
+0.0338463
+0.0346138
+0.0354953
+0.0364872
+0.0375808
+0.0387674
+0.0400388
+0.0413829
+0.0427887
+0.0442582
+0.0457797
+0.047342
+0.0489439
+0.0505901
+0.0522762
+0.0539976
+0.0557512
+0.0575348
+0.0593457
+0.0611815
+0.0626975
+0.0641573
+0.0656568
+0.067192
+0.0687628
+0.0703667
+0.0720016
+0.0736653
+0.075356
+0.0835392
+0.0826572
+0.0818244
+0.0810422
+0.0803024
+0.0796142
+0.0789808
+0.0784035
+0.0778836
+0.0774222
+0.0770204
+0.0766692
+0.0763769
+0.0761466
+0.0759789
+0.075874
+0.0758322
+0.0758538
+0.0759385
+0.0760863
+0.0762967
+0.0765679
+0.0756983
+0.0739338
+0.0721927
+0.0704473
+0.0687167
+0.067013
+0.0652991
+0.0636108
+0.0619539
+0.0603312
+0.0587452
+0.0571993
+0.0556858
+0.0542131
+0.0527902
+0.0514121
+0.0500645
+0.0487649
+0.0475077
+0.0462824
+0.0451055
+0.0440051
+0.0429884
+0.0420468
+0.0411802
+0.0403989
+0.039673
+0.0390411
+0.0385235
+0.03806
+0.03771
+0.0374834
+0.0373608
+0.0373663
+0.0374768
+0.0368038
+0.035722
+0.034738
+0.033853
+0.0330895
+0.0324562
+0.0319609
+0.0316054
+0.031397
+0.0313407
+0.0314373
+0.0316708
+0.0320523
+0.032577
+0.033238
+0.0340275
+0.0349367
+0.0359495
+0.0370589
+0.0382617
+0.0395494
+0.0409096
+0.0423311
+0.043816
+0.0453581
+0.0469518
+0.0485798
+0.0502406
+0.051938
+0.0536703
+0.0554343
+0.0572278
+0.0590481
+0.0606114
+0.0620429
+0.0635178
+0.065032
+0.0665816
+0.0681665
+0.0697841
+0.0714323
+0.073109
+0.0748123
+0.0843059
+0.083432
+0.0826069
+0.0818322
+0.0810983
+0.0804169
+0.0797898
+0.0792185
+0.0787039
+0.0782473
+0.0778498
+0.0775121
+0.0772253
+0.0769975
+0.0768316
+0.0767278
+0.0766866
+0.0767079
+0.0767917
+0.0769378
+0.0771459
+0.0774155
+0.0769292
+0.0751668
+0.0734167
+0.0716799
+0.0699551
+0.0682413
+0.0665555
+0.0648999
+0.0632768
+0.0616889
+0.0601388
+0.058618
+0.0571369
+0.0557026
+0.0542995
+0.052923
+0.0516028
+0.0503151
+0.0490565
+0.0478516
+0.0467132
+0.0456516
+0.0446524
+0.043737
+0.0428548
+0.0420682
+0.0413629
+0.0407569
+0.0401921
+0.0397402
+0.0393983
+0.0391593
+0.039042
+0.0388462
+0.0375682
+0.0363774
+0.0352824
+0.0342859
+0.0333889
+0.0326145
+0.0319718
+0.0314688
+0.0311089
+0.0308971
+0.0308399
+0.0309373
+0.0311742
+0.0315617
+0.0320944
+0.0327652
+0.0335658
+0.0344872
+0.0355167
+0.0366392
+0.0378554
+0.0391564
+0.0405341
+0.041981
+0.0434797
+0.0450334
+0.0466382
+0.0482891
+0.0499758
+0.0516905
+0.0534309
+0.0552025
+0.0570033
+0.0586148
+0.060014
+0.0614581
+0.0629433
+0.0644687
+0.0660316
+0.0676293
+0.0692595
+0.0709199
+0.0726084
+0.0743232
+0.0851207
+0.0842552
+0.0834383
+0.0826714
+0.0819449
+0.0812707
+0.0806503
+0.080085
+0.0795761
+0.0791245
+0.0787314
+0.0783975
+0.0781236
+0.0779007
+0.0777367
+0.0776342
+0.0775934
+0.0776145
+0.0776973
+0.0778417
+0.0780474
+0.0783139
+0.0775492
+0.0758523
+0.0741812
+0.0725378
+0.0709241
+0.0693419
+0.0677937
+0.0662364
+0.0646469
+0.0630934
+0.0615666
+0.0600783
+0.0586341
+0.0571973
+0.0558062
+0.0544485
+0.0531253
+0.0518448
+0.0506244
+0.0494671
+0.0483514
+0.047307
+0.046327
+0.0453893
+0.0445398
+0.0437785
+0.0430801
+0.0424435
+0.0419014
+0.0414566
+0.041113
+0.040884
+0.0399333
+0.038567
+0.0372795
+0.0360791
+0.0349748
+0.0339693
+0.0330636
+0.0322815
+0.0316321
+0.0311236
+0.0307607
+0.0305465
+0.0304887
+0.030586
+0.0308256
+0.0312174
+0.0317559
+0.0324337
+0.0332423
+0.0341724
+0.0352111
+0.0363431
+0.0375688
+0.0388794
+0.0402667
+0.0417228
+0.043241
+0.0448135
+0.046426
+0.0480841
+0.0497835
+0.05152
+0.0532785
+0.055057
+0.0567172
+0.0580759
+0.0594842
+0.0609388
+0.0624363
+0.0639739
+0.0655486
+0.0671578
+0.0687992
+0.0704704
+0.0721694
+0.0738943
+0.0859836
+0.0851269
+0.0843184
+0.0835596
+0.0828409
+0.082174
+0.0815605
+0.0810016
+0.0804984
+0.0800521
+0.0796635
+0.0793335
+0.0790629
+0.0788523
+0.0786923
+0.0785911
+0.0785508
+0.0785716
+0.0786534
+0.0787961
+0.0789993
+0.0791359
+0.0774118
+0.0757118
+0.0740376
+0.0723909
+0.0707738
+0.0691882
+0.0676365
+0.0661209
+0.064644
+0.0632086
+0.0618175
+0.0604716
+0.0591746
+0.0579315
+0.0567457
+0.055621
+0.0545611
+0.0534111
+0.0522273
+0.0510956
+0.0500096
+0.0489759
+0.04799
+0.0470855
+0.0462486
+0.045476
+0.0447836
+0.0441743
+0.0436379
+0.0432006
+0.0427313
+0.0412252
+0.0397827
+0.038411
+0.037118
+0.0359122
+0.0348027
+0.033792
+0.0328815
+0.0320949
+0.0314416
+0.03093
+0.030566
+0.0303504
+0.0302922
+0.030389
+0.0306301
+0.0310244
+0.0315662
+0.032248
+0.0330611
+0.0339962
+0.0350401
+0.0361774
+0.0374086
+0.0387246
+0.0401172
+0.0415786
+0.0431019
+0.0446806
+0.0463092
+0.0479784
+0.0496814
+0.0514213
+0.0531946
+0.0549228
+0.0562395
+0.0576094
+0.0590289
+0.0604944
+0.0620027
+0.0635507
+0.0651356
+0.0667548
+0.0684059
+0.0700865
+0.0717946
+0.0735283
+0.0868931
+0.0860455
+0.0852458
+0.0844935
+0.0837825
+0.0831231
+0.0825167
+0.0819643
+0.0814671
+0.0810261
+0.0806422
+0.0803163
+0.080049
+0.0798409
+0.0796852
+0.0795852
+0.0795454
+0.0795659
+0.0796468
+0.0797876
+0.0799883
+0.079062
+0.0773362
+0.0756345
+0.0739585
+0.0723101
+0.0706911
+0.0691037
+0.06755
+0.0660324
+0.0645535
+0.063116
+0.0617228
+0.0603748
+0.0590757
+0.0578305
+0.0566426
+0.0555158
+0.0544538
+0.0534605
+0.0525399
+0.0516958
+0.0509319
+0.0502483
+0.0496416
+0.0487844
+0.0479506
+0.0471928
+0.046526
+0.0459227
+0.0454018
+0.0442674
+0.042703
+0.0411959
+0.0397523
+0.0383795
+0.0370855
+0.0358786
+0.034768
+0.0337562
+0.0328447
+0.0320569
+0.0314023
+0.0308893
+0.030525
+0.0303109
+0.0302526
+0.030349
+0.0305907
+0.0309855
+0.0315279
+0.0322105
+0.0330246
+0.0339607
+0.0350056
+0.036144
+0.0373763
+0.0386934
+0.0400871
+0.0415496
+0.0430738
+0.0446536
+0.0462831
+0.0479574
+0.0496714
+0.0514121
+0.0531858
+0.0545174
+0.0558437
+0.0572231
+0.0586519
+0.0601266
+0.0616439
+0.0632007
+0.0647942
+0.0664217
+0.0680808
+0.0697693
+0.071485
+0.073226
+0.0876276
+0.0870096
+0.0862188
+0.0854725
+0.0847697
+0.084118
+0.0835188
+0.0829731
+0.082482
+0.0820464
+0.0816673
+0.0813455
+0.0810816
+0.0808762
+0.0807253
+0.0806266
+0.0805873
+0.0806076
+0.0806873
+0.0808264
+0.0807973
+0.0790487
+0.0773226
+0.0756206
+0.0739444
+0.0722956
+0.0706763
+0.0690885
+0.0675344
+0.0660165
+0.0645373
+0.0630994
+0.0617058
+0.0603574
+0.059058
+0.0578123
+0.0566241
+0.0554969
+0.0544345
+0.0534409
+0.05252
+0.0516755
+0.0509114
+0.0502274
+0.0496204
+0.0491038
+0.0486803
+0.0483525
+0.0481222
+0.0476202
+0.0459612
+0.0443484
+0.0427871
+0.0412829
+0.0398425
+0.038473
+0.0371822
+0.0359785
+0.0348623
+0.0338379
+0.0329276
+0.0321411
+0.0314876
+0.0309756
+0.0306122
+0.0303985
+0.0303403
+0.0304383
+0.0306849
+0.0310842
+0.0316305
+0.0323165
+0.0331325
+0.0340663
+0.0351081
+0.0362433
+0.0374723
+0.0387862
+0.0401766
+0.0416359
+0.0431571
+0.0447339
+0.0463607
+0.0480322
+0.0497436
+0.0514819
+0.052896
+0.0541905
+0.0555316
+0.0569186
+0.0583548
+0.0598368
+0.0613613
+0.0629251
+0.0645254
+0.0661595
+0.067825
+0.0695197
+0.0712414
+0.0729883
+0.0882824
+0.0880177
+0.087236
+0.0864958
+0.0858014
+0.0851576
+0.0845658
+0.0840269
+0.0835419
+0.0831119
+0.0827377
+0.0824201
+0.0821596
+0.0819569
+0.0818108
+0.0817134
+0.0816747
+0.0816947
+0.0817734
+0.0819106
+0.0808437
+0.0790962
+0.0773711
+0.0756702
+0.0739951
+0.0723475
+0.0707293
+0.0691428
+0.06759
+0.0660733
+0.0645953
+0.0631588
+0.0617666
+0.0604196
+0.0591214
+0.0578772
+0.0566903
+0.0555644
+0.0545034
+0.0535111
+0.0525913
+0.051748
+0.050985
+0.050302
+0.049696
+0.0491801
+0.0487573
+0.04843
+0.0482001
+0.0477816
+0.0461285
+0.0445218
+0.0429667
+0.0414691
+0.0400354
+0.0386727
+0.0373887
+0.036192
+0.0350757
+0.0340577
+0.0331535
+0.0323724
+0.0317237
+0.0312156
+0.030855
+0.030642
+0.0305843
+0.0306825
+0.0309271
+0.0313233
+0.0318656
+0.0325465
+0.0333577
+0.0342899
+0.0353335
+0.0364741
+0.0376955
+0.0390019
+0.0403849
+0.041837
+0.0433511
+0.0449211
+0.0465413
+0.0482066
+0.049912
+0.0513931
+0.0526334
+0.0539342
+0.055291
+0.0566854
+0.0581274
+0.0596151
+0.0611451
+0.0627142
+0.0643198
+0.065959
+0.0676274
+0.0693229
+0.0710444
+0.0727911
+0.0889862
+0.0887255
+0.0882958
+0.087562
+0.0868761
+0.0862404
+0.085656
+0.085124
+0.0846454
+0.084221
+0.0838517
+0.0835383
+0.0832814
+0.0830814
+0.0829388
+0.0828439
+0.0828057
+0.0828255
+0.0829031
+0.0827159
+0.0809494
+0.0792042
+0.0774816
+0.0757831
+0.0741105
+0.0724655
+0.0708501
+0.0692663
+0.0677163
+0.0662026
+0.0647276
+0.063294
+0.0619048
+0.0605609
+0.0592659
+0.0580247
+0.0568409
+0.0557181
+0.05466
+0.0536706
+0.0527537
+0.051913
+0.0511524
+0.0504717
+0.0498677
+0.0493537
+0.0489323
+0.0486062
+0.0483772
+0.0480375
+0.0463935
+0.0447963
+0.0432511
+0.0417637
+0.0403405
+0.0389884
+0.0377152
+0.0365292
+0.0354235
+0.0344158
+0.0335213
+0.032749
+0.0321079
+0.0316059
+0.0312493
+0.0310385
+0.0309816
+0.0310793
+0.031321
+0.0317123
+0.032248
+0.0329211
+0.0337233
+0.0346456
+0.0356788
+0.0368135
+0.038038
+0.039333
+0.0407048
+0.0421458
+0.0436493
+0.0452089
+0.0468192
+0.0484749
+0.0500372
+0.0512166
+0.0524611
+0.053766
+0.0551104
+0.0565077
+0.0579542
+0.0594462
+0.0609804
+0.0625538
+0.0641579
+0.0657944
+0.0674624
+0.0691596
+0.0708838
+0.0726331
+0.089738
+0.0894795
+0.089274
+0.0886696
+0.0879923
+0.0873647
+0.0867878
+0.0862628
+0.0857905
+0.0853719
+0.0850076
+0.0846985
+0.084445
+0.0842478
+0.0841072
+0.0840164
+0.0839787
+0.0839982
+0.0840747
+0.0828771
+0.0811142
+0.0793725
+0.0776537
+0.0759591
+0.0742904
+0.0726495
+0.0710383
+0.0694588
+0.0679132
+0.0664039
+0.0649335
+0.0635046
+0.0621201
+0.0607809
+0.0594907
+0.0582543
+0.0570753
+0.0559572
+0.0549037
+0.0539188
+0.0530061
+0.0521654
+0.0514024
+0.0507226
+0.0501294
+0.0496234
+0.0492044
+0.0488801
+0.0486523
+0.0483914
+0.0467598
+0.0451755
+0.0436438
+0.0421702
+0.0407612
+0.0394236
+0.0381649
+0.0369933
+0.0359019
+0.034908
+0.0340264
+0.0332659
+0.0326349
+0.0321412
+0.0317896
+0.0315824
+0.0315264
+0.0316225
+0.031861
+0.0322458
+0.0327728
+0.0334353
+0.0342254
+0.0351346
+0.0361538
+0.037274
+0.0384839
+0.0397644
+0.0411218
+0.0425487
+0.0440384
+0.0455847
+0.0471821
+0.0488256
+0.0499513
+0.0511146
+0.0523438
+0.0536344
+0.0549819
+0.0563824
+0.057832
+0.0593271
+0.0608643
+0.0624406
+0.0640476
+0.0656869
+0.0673575
+0.0690572
+0.0707839
+0.0725357
+0.0905367
+0.0902804
+0.0900767
+0.0898169
+0.0891483
+0.0885289
+0.0879597
+0.0874417
+0.0869758
+0.0865629
+0.0862037
+0.0858988
+0.085649
+0.0854545
+0.0853159
+0.085229
+0.0851919
+0.0852111
+0.0848741
+0.0830958
+0.0813376
+0.0796009
+0.077887
+0.0761976
+0.0745343
+0.0728989
+0.0712933
+0.0697196
+0.0681799
+0.0666767
+0.0652124
+0.0637897
+0.0624116
+0.0610788
+0.059795
+0.058565
+0.0573923
+0.0562805
+0.0552297
+0.0542449
+0.0533319
+0.0524945
+0.0517363
+0.051061
+0.0504717
+0.0499717
+0.0495573
+0.0492353
+0.0490092
+0.048841
+0.047225
+0.0456568
+0.0441418
+0.0426854
+0.041294
+0.0399742
+0.0387334
+0.0375795
+0.0365057
+0.0355287
+0.0346629
+0.0339166
+0.033298
+0.0328142
+0.032469
+0.0322662
+0.0322114
+0.0323054
+0.0325399
+0.0329167
+0.0334331
+0.0340828
+0.0348583
+0.0357513
+0.0367534
+0.0378559
+0.0390478
+0.0403104
+0.0416499
+0.0430594
+0.044532
+0.0460618
+0.0476432
+0.048812
+0.0499058
+0.0510701
+0.0523004
+0.053592
+0.0549406
+0.0563421
+0.0577927
+0.0592888
+0.060827
+0.0624042
+0.0640121
+0.0656523
+0.0673238
+0.0690243
+0.0707518
+0.0725044
+0.0913808
+0.0911269
+0.0909251
+0.0907757
+0.0903426
+0.0897315
+0.08917
+0.0886591
+0.0881996
+0.0877924
+0.0874383
+0.0871377
+0.0868914
+0.0866998
+0.0865632
+0.0864802
+0.0864436
+0.0864625
+0.085144
+0.0833715
+0.0816192
+0.0798886
+0.0781811
+0.0764982
+0.0748416
+0.073213
+0.0716144
+0.0700479
+0.0685156
+0.0670199
+0.0655633
+0.0641484
+0.0627782
+0.0614533
+0.0601775
+0.0589525
+0.0577822
+0.0566725
+0.055627
+0.0546493
+0.0537431
+0.0529122
+0.0521602
+0.0514904
+0.0509061
+0.0504104
+0.0499997
+0.0496805
+0.0494565
+0.0493288
+0.0477861
+0.046237
+0.0447416
+0.0433055
+0.0419346
+0.0406356
+0.0394157
+0.0382823
+0.0372288
+0.0362713
+0.0354236
+0.0346937
+0.0340892
+0.0336168
+0.033279
+0.0330811
+0.0330277
+0.0331194
+0.0333491
+0.0337169
+0.0342212
+0.0348562
+0.0356148
+0.0364894
+0.0374717
+0.0385537
+0.0397247
+0.0409664
+0.0422852
+0.0436741
+0.0451267
+0.0466369
+0.0478465
+0.0488637
+0.0499563
+0.0511196
+0.0523487
+0.0536391
+0.0549865
+0.0563869
+0.0578364
+0.0593314
+0.0608685
+0.0624446
+0.0640515
+0.0656907
+0.0673613
+0.0690609
+0.0707875
+0.0725392
+0.0922693
+0.0920178
+0.091818
+0.0916701
+0.0915693
+0.0909664
+0.0904126
+0.0899087
+0.0894557
+0.0890542
+0.0887051
+0.0884089
+0.0881661
+0.0879773
+0.0878427
+0.0877625
+0.0877321
+0.087253
+0.0854681
+0.0837024
+0.0819572
+0.0802339
+0.0785338
+0.0768587
+0.07521
+0.0735896
+0.0719994
+0.0704414
+0.0689179
+0.0674311
+0.0659836
+0.0645779
+0.0632169
+0.0618955
+0.0606238
+0.0594057
+0.0582445
+0.0571438
+0.056107
+0.0551378
+0.0542398
+0.0534167
+0.0526718
+0.0520086
+0.0514302
+0.0509396
+0.0505332
+0.0502174
+0.0499958
+0.0498695
+0.0484399
+0.0469125
+0.0454393
+0.0440259
+0.0426781
+0.0414025
+0.0402058
+0.0390954
+0.0380644
+0.0371284
+0.0363008
+0.0355889
+0.0349998
+0.0345399
+0.0342103
+0.0340179
+0.0339659
+0.0340551
+0.0342794
+0.0346373
+0.0351284
+0.0357473
+0.0364874
+0.0373415
+0.038302
+0.0393612
+0.0405088
+0.0417272
+0.0430227
+0.0443885
+0.0458184
+0.0470654
+0.0479993
+0.0490134
+0.0501028
+0.0512627
+0.0524884
+0.0537755
+0.0551196
+0.0565167
+0.0579629
+0.0594547
+0.0609887
+0.0625618
+0.0641658
+0.0658021
+0.0674699
+0.0691669
+0.0708909
+0.0726401
+0.0932008
+0.0929518
+0.092754
+0.0926076
+0.0925128
+0.0922337
+0.0916875
+0.0911907
+0.0907441
+0.0903484
+0.0900043
+0.0897123
+0.0894731
+0.089287
+0.0891544
+0.0890754
+0.0890503
+0.0876146
+0.0858372
+0.0840792
+0.082342
+0.0806269
+0.0789354
+0.0772689
+0.0756292
+0.074018
+0.0724372
+0.0708888
+0.0693751
+0.0678983
+0.066461
+0.0650656
+0.0637151
+0.0624042
+0.0611431
+0.0599355
+0.0587848
+0.0576944
+0.0566677
+0.0557083
+0.0548196
+0.0540053
+0.0532687
+0.052613
+0.0520414
+0.0515565
+0.051155
+0.0508431
+0.0506242
+0.0504995
+0.0491827
+0.0476791
+0.0462303
+0.0448418
+0.0435194
+0.0422691
+0.0410977
+0.040012
+0.0390052
+0.0380924
+0.0372862
+0.0365934
+0.0360208
+0.0355741
+0.0352533
+0.0350666
+0.0350162
+0.0351027
+0.0353212
+0.0356687
+0.0361458
+0.0367475
+0.0374679
+0.0383002
+0.0392372
+0.0402718
+0.0413942
+0.0425872
+0.0438573
+0.0451979
+0.0464631
+0.0473223
+0.0482512
+0.0492601
+0.0503442
+0.0514986
+0.0527189
+0.0540005
+0.0553391
+0.0567308
+0.0581717
+0.0596583
+0.0611872
+0.0627553
+0.0643544
+0.0659861
+0.0676494
+0.0693419
+0.0710617
+0.0728068
+0.094174
+0.0939277
+0.0937319
+0.093587
+0.0934932
+0.0934507
+0.0929966
+0.0925068
+0.0920666
+0.0916766
+0.0913375
+0.0910498
+0.0908141
+0.0906308
+0.0905001
+0.0904223
+0.0898168
+0.0880293
+0.0862604
+0.0845112
+0.0827831
+0.0810774
+0.0793954
+0.0777388
+0.0761092
+0.0745083
+0.0729382
+0.0714007
+0.0698981
+0.0684326
+0.0670067
+0.0656229
+0.0642841
+0.0629851
+0.0617358
+0.0605401
+0.0594011
+0.0583222
+0.0573067
+0.0563582
+0.05548
+0.0546755
+0.053948
+0.0533007
+0.0527365
+0.0522581
+0.051862
+0.0515544
+0.0513385
+0.0512155
+0.0500105
+0.0485325
+0.04711
+0.0457482
+0.0444528
+0.0432295
+0.0420849
+0.0410253
+0.040044
+0.0391554
+0.0383715
+0.0376987
+0.0371431
+0.0367094
+0.0363985
+0.0362176
+0.0361688
+0.0362526
+0.0364651
+0.0368017
+0.0372643
+0.0378483
+0.0385481
+0.0393575
+0.04027
+0.0412786
+0.0423744
+0.0435406
+0.0447836
+0.0460428
+0.0468122
+0.0476631
+0.0485855
+0.0495875
+0.0506646
+0.0518119
+0.0530249
+0.0542993
+0.0556308
+0.0570153
+0.0584492
+0.0599289
+0.0614511
+0.0630127
+0.0646108
+0.0662421
+0.0678991
+0.0695855
+0.0712995
+0.0730389
+0.0951877
+0.094944
+0.0947503
+0.094607
+0.0945142
+0.0944722
+0.0943384
+0.0938557
+0.0934218
+0.0930374
+0.0927033
+0.0924199
+0.0921877
+0.0920071
+0.0918784
+0.0917715
+0.0902745
+0.0884962
+0.0867369
+0.0849975
+0.0832795
+0.0815841
+0.0799128
+0.0782672
+0.0766488
+0.0750595
+0.0735011
+0.0719756
+0.0704852
+0.0690322
+0.067619
+0.066248
+0.064922
+0.063636
+0.0623998
+0.0612171
+0.0600909
+0.0590246
+0.0580215
+0.0570848
+0.0562179
+0.0554241
+0.0547066
+0.0540684
+0.0535123
+0.0530409
+0.0526507
+0.0523477
+0.0521351
+0.052014
+0.0509192
+0.0494683
+0.0480735
+0.0467398
+0.0454726
+0.0442776
+0.0431607
+0.0421282
+0.0411732
+0.0403095
+0.0395484
+0.038896
+0.0383578
+0.0379371
+0.0376364
+0.0374615
+0.0374143
+0.0374953
+0.0377016
+0.0380273
+0.0384752
+0.0390411
+0.0397198
+0.0405058
+0.041393
+0.0423749
+0.043443
+0.0445813
+0.0457685
+0.0464723
+0.0472346
+0.0480847
+0.0490116
+0.0500051
+0.0510734
+0.0522117
+0.0534156
+0.0546809
+0.0560033
+0.0573789
+0.0588039
+0.0602749
+0.0617885
+0.0633418
+0.0649318
+0.066556
+0.0682112
+0.0698926
+0.0716016
+0.0733357
+0.0962406
+0.0959996
+0.0958081
+0.0956663
+0.0955746
+0.095533
+0.0955417
+0.0952358
+0.0948082
+0.0944295
+0.0941003
+0.0938211
+0.0935924
+0.0934145
+0.0932878
+0.0919995
+0.0905506
+0.0890147
+0.0872658
+0.0855372
+0.0838302
+0.0821462
+0.0804866
+0.0788529
+0.0772468
+0.07567
+0.0741244
+0.0726121
+0.0711351
+0.0696956
+0.0682961
+0.066939
+0.065627
+0.0643551
+0.0631329
+0.0619642
+0.0608518
+0.0597991
+0.0588092
+0.0578852
+0.0570306
+0.0562482
+0.0555413
+0.0549128
+0.0543654
+0.0539014
+0.0535175
+0.0532195
+0.0530104
+0.0528913
+0.0519044
+0.0504819
+0.0491159
+0.0478113
+0.0465732
+0.0454072
+0.0443188
+0.0433139
+0.0423856
+0.0415471
+0.0408092
+0.0401772
+0.0396564
+0.0392489
+0.0389582
+0.0387893
+0.0387438
+0.038822
+0.039022
+0.0393368
+0.03977
+0.0403176
+0.0409753
+0.0417376
+0.0425992
+0.0435539
+0.0445938
+0.045696
+0.0463042
+0.047
+0.0477539
+0.0485949
+0.0495187
+0.0505143
+0.051572
+0.0526996
+0.0538926
+0.055147
+0.0564584
+0.0578232
+0.0592375
+0.060698
+0.0622014
+0.0637446
+0.0653248
+0.0669394
+0.0685853
+0.0702578
+0.0719581
+0.0736843
+0.0973315
+0.0970932
+0.0969038
+0.0967636
+0.0966729
+0.0966318
+0.0966404
+0.0966458
+0.0962245
+0.0958514
+0.0955271
+0.0952521
+0.0950269
+0.0948517
+0.0937525
+0.092279
+0.0908345
+0.0893788
+0.0878461
+0.0861292
+0.0844342
+0.0827624
+0.0811154
+0.0794947
+0.0779018
+0.0763386
+0.0748068
+0.0733085
+0.0718458
+0.0704209
+0.0690361
+0.0676938
+0.0663967
+0.0651399
+0.0639327
+0.0627789
+0.0616812
+0.0606429
+0.059667
+0.0587565
+0.0579147
+0.0571445
+0.0564488
+0.0558305
+0.0552921
+0.0548359
+0.0544571
+0.0541642
+0.0539588
+0.0538418
+0.052962
+0.0515687
+0.0502322
+0.0489574
+0.047749
+0.0466124
+0.0455528
+0.0445758
+0.0436743
+0.042861
+0.0421461
+0.0415345
+0.0410309
+0.0406364
+0.0403558
+0.0401927
+0.0401488
+0.0402242
+0.0404181
+0.0407221
+0.0411407
+0.0416703
+0.042307
+0.0430458
+0.0438816
+0.044809
+0.0458204
+0.0463363
+0.0469362
+0.0476227
+0.0483669
+0.0491975
+0.0501101
+0.0511005
+0.052158
+0.0532731
+0.0544536
+0.0556953
+0.0569942
+0.0583464
+0.0597484
+0.0611967
+0.0626881
+0.0642196
+0.0657884
+0.0673919
+0.069027
+0.0706891
+0.0723793
+0.0740957
+0.098459
+0.0982234
+0.0980362
+0.0978977
+0.097808
+0.0977674
+0.0977759
+0.0978334
+0.0976694
+0.0973019
+0.0969824
+0.0967116
+0.0964897
+0.0955737
+0.0940778
+0.0926095
+0.0911703
+0.0897438
+0.0882589
+0.0867724
+0.0850903
+0.0834317
+0.0817982
+0.0801912
+0.0786124
+0.0770636
+0.0755466
+0.0740633
+0.0726158
+0.0712062
+0.069837
+0.0685104
+0.0672291
+0.0659881
+0.0647967
+0.0636585
+0.0625763
+0.0615531
+0.0605918
+0.0596955
+0.0588671
+0.0581095
+0.0574255
+0.0568179
+0.0562889
+0.0558379
+0.0554658
+0.0551783
+0.0549767
+0.0548618
+0.0540877
+0.0527241
+0.0514177
+0.050173
+0.0489946
+0.0478876
+0.0468568
+0.0459075
+0.0450327
+0.0442445
+0.0435522
+0.0429607
+0.042474
+0.0420923
+0.0418214
+0.0416641
+0.0416217
+0.0416945
+0.0418819
+0.0421758
+0.04258
+0.043092
+0.0437079
+0.0444234
+0.0452338
+0.0461341
+0.0465749
+0.0470699
+0.0476606
+0.0483368
+0.0490702
+0.0498891
+0.0507893
+0.0517666
+0.0528167
+0.0539297
+0.0550961
+0.0563236
+0.0576083
+0.0589465
+0.0603345
+0.061769
+0.0632469
+0.0647652
+0.0663211
+0.067912
+0.069535
+0.0711851
+0.0728638
+0.0745691
+0.0996219
+0.0993891
+0.0992041
+0.0990672
+0.0989786
+0.0989385
+0.0989468
+0.0990037
+0.0991089
+0.0987796
+0.098465
+0.0981982
+0.0974594
+0.0959429
+0.0944528
+0.0929905
+0.0915572
+0.0901544
+0.0886827
+0.0872305
+0.0857973
+0.0841527
+0.0825334
+0.080941
+0.0793772
+0.0778436
+0.076342
+0.0748745
+0.073443
+0.0720496
+0.0706967
+0.0693866
+0.0681218
+0.0668973
+0.0657225
+0.0646005
+0.0635344
+0.0625269
+0.0615808
+0.0606991
+0.0598845
+0.05914
+0.0584681
+0.0578713
+0.0573521
+0.0569065
+0.0565415
+0.0562595
+0.0560618
+0.0559491
+0.0552773
+0.0539438
+0.0526677
+0.0514532
+0.0503049
+0.0492273
+0.0482251
+0.0473033
+0.0464548
+0.0456911
+0.0450211
+0.0444491
+0.0439787
+0.0436097
+0.0433483
+0.0431965
+0.0431556
+0.0432258
+0.0434067
+0.0436909
+0.0440813
+0.0445761
+0.0451717
+0.0458644
+0.0466498
+0.0470096
+0.0473989
+0.0478854
+0.0484661
+0.0491378
+0.0498599
+0.050666
+0.0515526
+0.0525157
+0.0535512
+0.0546549
+0.0558172
+0.0570292
+0.0582984
+0.059621
+0.0609937
+0.0624131
+0.0638761
+0.0653798
+0.0669214
+0.0684984
+0.0701077
+0.0717447
+0.0734106
+0.0751034
+0.100819
+0.100589
+0.100406
+0.100271
+0.100183
+0.100144
+0.100152
+0.100208
+0.100306
+0.100283
+0.0999736
+0.0994052
+0.0978705
+0.0963605
+0.094877
+0.0934213
+0.0919947
+0.0905986
+0.0891551
+0.0877108
+0.0862947
+0.0849115
+0.0833198
+0.0817427
+0.0801945
+0.0786768
+0.0771915
+0.0757404
+0.0743256
+0.0729491
+0.0716132
+0.0703201
+0.0690724
+0.0678651
+0.0667073
+0.0656022
+0.0645526
+0.0635612
+0.0626308
+0.061764
+0.0609637
+0.0602325
+0.059573
+0.0589874
+0.058476
+0.0580382
+0.0576804
+0.057404
+0.0572102
+0.0570998
+0.0565268
+0.0552235
+0.0539776
+0.0527933
+0.0516747
+0.0506263
+0.0496525
+0.0487576
+0.0479349
+0.0471951
+0.0465468
+0.0459937
+0.0455387
+0.0451823
+0.0449301
+0.0447837
+0.0447443
+0.044812
+0.0449864
+0.0452615
+0.0456384
+0.0461164
+0.0466925
+0.0473629
+0.0476348
+0.047919
+0.048301
+0.0487785
+0.0493487
+0.0500085
+0.0507319
+0.0515244
+0.0523965
+0.0533444
+0.0543641
+0.0554516
+0.056603
+0.0578092
+0.0590616
+0.0603676
+0.0617236
+0.0631266
+0.0645735
+0.0660613
+0.0675873
+0.0691491
+0.0707437
+0.0723663
+0.0740182
+0.0756975
+0.102049
+0.101822
+0.101641
+0.101508
+0.101421
+0.101382
+0.101386
+0.101432
+0.101525
+0.101666
+0.101402
+0.0998563
+0.0983287
+0.0968258
+0.0953495
+0.0939012
+0.092482
+0.0910934
+0.0896786
+0.0882428
+0.0868353
+0.0854609
+0.0841211
+0.0825947
+0.0810628
+0.0795617
+0.0780932
+0.0766592
+0.0752616
+0.0739026
+0.0725842
+0.0713088
+0.0700786
+0.068889
+0.0677487
+0.0666609
+0.0656282
+0.0646533
+0.0637388
+0.0628873
+0.0621015
+0.0613839
+0.0607368
+0.0601625
+0.0596584
+0.0592294
+0.0588788
+0.058608
+0.0584182
+0.0583101
+0.0578322
+0.0565589
+0.0553431
+0.0541886
+0.0530995
+0.0520797
+0.0511336
+0.0502651
+0.0494677
+0.0487511
+0.0481222
+0.0475843
+0.0471417
+0.0467975
+0.0465541
+0.0464128
+0.0463747
+0.0464401
+0.0466084
+0.0468787
+0.0472458
+0.0477077
+0.0482647
+0.0484504
+0.0486313
+0.0489097
+0.049284
+0.0497521
+0.0503113
+0.0509586
+0.0516822
+0.0524603
+0.0533171
+0.0542489
+0.0552519
+0.0563222
+0.0574562
+0.0586499
+0.0598885
+0.0611801
+0.06252
+0.0639055
+0.0653351
+0.0668059
+0.0683154
+0.0698609
+0.0714402
+0.0730483
+0.0746851
+0.0763497
+0.103311
+0.103087
+0.102908
+0.102776
+0.102688
+0.10264
+0.102639
+0.102685
+0.102777
+0.102916
+0.101891
+0.100353
+0.0988334
+0.0973383
+0.0958699
+0.0944295
+0.0930184
+0.091638
+0.090251
+0.0888256
+0.0874276
+0.0860626
+0.0847323
+0.0834383
+0.0819805
+0.0804965
+0.0790453
+0.0776289
+0.0762491
+0.074908
+0.0736076
+0.0723503
+0.0711381
+0.0699665
+0.068844
+0.0677738
+0.0667584
+0.0658002
+0.0649019
+0.0640659
+0.0632947
+0.0625907
+0.0619562
+0.0613923
+0.0608967
+0.0604764
+0.0601331
+0.059868
+0.0596822
+0.0595764
+0.0591831
+0.0579396
+0.0567534
+0.0556282
+0.0545677
+0.0535759
+0.0526567
+0.0518138
+0.051037
+0.0503394
+0.0497286
+0.0492078
+0.0487799
+0.0484475
+0.0482123
+0.0480759
+0.0480392
+0.0481023
+0.0482648
+0.0485258
+0.0488837
+0.0493363
+0.0494417
+0.0495274
+0.0497044
+0.0499769
+0.0503433
+0.0508016
+0.0513493
+0.0519837
+0.0526978
+0.0534696
+0.0543105
+0.0552255
+0.0562111
+0.0572635
+0.0583793
+0.0595544
+0.0607746
+0.0620477
+0.0633711
+0.0647415
+0.0661532
+0.0676063
+0.0690982
+0.0706266
+0.0721892
+0.0737836
+0.0754081
+0.0770588
+0.104604
+0.104382
+0.104204
+0.104065
+0.103972
+0.103925
+0.103924
+0.103969
+0.10406
+0.103966
+0.102424
+0.100895
+0.0993838
+0.0978971
+0.0964372
+0.0950054
+0.093603
+0.0922313
+0.0908634
+0.0894583
+0.0880703
+0.0867155
+0.0853953
+0.0841115
+0.0828657
+0.0814794
+0.0800461
+0.0786477
+0.0772861
+0.0759633
+0.0746813
+0.0734423
+0.0722485
+0.0710952
+0.0699908
+0.0689384
+0.0679404
+0.0669991
+0.0661171
+0.0652966
+0.0645402
+0.0638499
+0.0632281
+0.0626729
+0.0621875
+0.061776
+0.06144
+0.0611805
+0.0609987
+0.0608952
+0.0605832
+0.059369
+0.0582119
+0.0571154
+0.0560831
+0.0551186
+0.0542255
+0.0534026
+0.0526452
+0.0519692
+0.0513778
+0.0508739
+0.0504601
+0.0501388
+0.0499116
+0.0497799
+0.0497444
+0.0498053
+0.0499623
+0.0502145
+0.0505604
+0.0505893
+0.0505915
+0.0506764
+0.0508493
+0.0511157
+0.051474
+0.0519223
+0.0524584
+0.0530795
+0.0537748
+0.05454
+0.0553728
+0.0562705
+0.0572381
+0.058272
+0.0593688
+0.0605247
+0.0617257
+0.0629797
+0.0642838
+0.0656352
+0.067031
+0.0684674
+0.069941
+0.0714513
+0.0729962
+0.0745734
+0.076181
+0.0778171
+0.105926
+0.105698
+0.105515
+0.105378
+0.105286
+0.105239
+0.105238
+0.105283
+0.105373
+0.104526
+0.102993
+0.101482
+0.0999792
+0.0985014
+0.0970507
+0.095628
+0.0942349
+0.0928725
+0.0915242
+0.0901354
+0.0887625
+0.0874184
+0.086109
+0.084836
+0.083601
+0.0824058
+0.0810937
+0.0797137
+0.0783706
+0.0770664
+0.0758031
+0.0745828
+0.0734075
+0.0722727
+0.0711866
+0.0701521
+0.0691716
+0.0682473
+0.0673816
+0.0665767
+0.065835
+0.0651585
+0.064549
+0.0640029
+0.0635276
+0.0631249
+0.0627961
+0.0625423
+0.0623644
+0.0622632
+0.062029
+0.0608437
+0.0597152
+0.0586468
+0.057642
+0.056704
+0.0558362
+0.0550289
+0.0542942
+0.053639
+0.0530662
+0.0525784
+0.0521782
+0.0518675
+0.0516479
+0.0515207
+0.0514864
+0.0515452
+0.051697
+0.0519407
+0.0518967
+0.0518063
+0.0518084
+0.0518924
+0.0520613
+0.0523215
+0.0526716
+0.0531098
+0.053634
+0.0542417
+0.054918
+0.0556675
+0.0564922
+0.0573802
+0.0583294
+0.0593442
+0.0604216
+0.0615577
+0.062739
+0.063973
+0.0652574
+0.066589
+0.0679651
+0.0693832
+0.0708406
+0.072333
+0.0738594
+0.0754186
+0.0770086
+0.0786274
+0.107261
+0.107036
+0.106855
+0.106719
+0.106629
+0.106583
+0.106582
+0.106626
+0.106677
+0.105129
+0.103604
+0.102104
+0.100619
+0.0991505
+0.0977094
+0.0962965
+0.0949132
+0.0935607
+0.0922267
+0.0908543
+0.089503
+0.0881702
+0.0868721
+0.0856105
+0.0843868
+0.0832029
+0.0820603
+0.0808251
+0.0795008
+0.0782154
+0.0769709
+0.0757694
+0.0746128
+0.0734966
+0.0724289
+0.0714124
+0.0704494
+0.0695421
+0.0686927
+0.0679034
+0.0671763
+0.0665134
+0.0659139
+0.0653792
+0.0649141
+0.06452
+0.0641983
+0.0639501
+0.0637761
+0.0636772
+0.0635175
+0.0623605
+0.0612599
+0.060219
+0.0592408
+0.0583285
+0.0574807
+0.0566932
+0.0559803
+0.0553451
+0.0547901
+0.0543179
+0.0539306
+0.05363
+0.0534177
+0.0532946
+0.0532615
+0.0533184
+0.0534651
+0.0533435
+0.053174
+0.0530858
+0.0530878
+0.0531708
+0.0533357
+0.0535897
+0.0539316
+0.0543597
+0.0548719
+0.055466
+0.0561234
+0.0568571
+0.0576647
+0.0585432
+0.0594813
+0.0604769
+0.0615344
+0.0626503
+0.0638113
+0.0650251
+0.066289
+0.0676003
+0.0689563
+0.0703544
+0.0717921
+0.0732671
+0.0747769
+0.0763173
+0.077889
+0.0794898
+0.108623
+0.108401
+0.108223
+0.108089
+0.107999
+0.107954
+0.107953
+0.107996
+0.10731
+0.105771
+0.104256
+0.102765
+0.1013
+0.0998435
+0.0984125
+0.0970098
+0.0956368
+0.0942902
+0.092961
+0.09162
+0.0902858
+0.0889695
+0.0876833
+0.0864335
+0.0852217
+0.0840495
+0.0829186
+0.0818308
+0.0806745
+0.0794082
+0.0781827
+0.0770001
+0.0758623
+0.0747647
+0.0737153
+0.0727169
+0.0717714
+0.070881
+0.0700479
+0.069274
+0.0685614
+0.0679121
+0.0673225
+0.0667991
+0.0663439
+0.0659583
+0.0656437
+0.0654009
+0.0652309
+0.0651341
+0.0650458
+0.0639164
+0.0628431
+0.0618288
+0.0608765
+0.0599891
+0.0591572
+0.0583923
+0.0577004
+0.0570843
+0.0565464
+0.056089
+0.055714
+0.0554231
+0.0552176
+0.0550986
+0.0550665
+0.0551216
+0.0549208
+0.054677
+0.0545095
+0.0544234
+0.0544254
+0.0545056
+0.0546665
+0.0549143
+0.055248
+0.0556659
+0.0561663
+0.0567451
+0.0573873
+0.058105
+0.0588955
+0.0597559
+0.0606812
+0.0616574
+0.062695
+0.0637909
+0.06494
+0.066133
+0.0673761
+0.0686667
+0.070002
+0.0713796
+0.0727971
+0.0742521
+0.0757426
+0.0772664
+0.0788204
+0.0804028
+0.110012
+0.109793
+0.109617
+0.109485
+0.109396
+0.109351
+0.109351
+0.109393
+0.107981
+0.106452
+0.104946
+0.103465
+0.10201
+0.100579
+0.099159
+0.0977671
+0.0964048
+0.0950591
+0.0937408
+0.0924312
+0.0911089
+0.0898144
+0.0885405
+0.087303
+0.0861034
+0.0849434
+0.0838245
+0.0827486
+0.0817144
+0.0806428
+0.0794364
+0.0782727
+0.0771537
+0.0760747
+0.0750437
+0.0740632
+0.0731351
+0.0722615
+0.0714445
+0.0706859
+0.0699877
+0.0693498
+0.068772
+0.0682597
+0.0678143
+0.0674372
+0.0671295
+0.0668921
+0.0667259
+0.0666313
+0.0666086
+0.0655086
+0.0644618
+0.0634734
+0.0625462
+0.0616784
+0.0608663
+0.0601231
+0.0594514
+0.0588536
+0.0583321
+0.0578887
+0.0575255
+0.0572438
+0.0570449
+0.0569297
+0.0568987
+0.0566238
+0.0563022
+0.0560644
+0.0558989
+0.055815
+0.0558169
+0.055892
+0.0560489
+0.0562906
+0.0566162
+0.0570241
+0.0575126
+0.058078
+0.0587056
+0.0594074
+0.0601808
+0.0610231
+0.0619315
+0.0628895
+0.063907
+0.0649826
+0.0661132
+0.067294
+0.0685161
+0.0697855
+0.0710999
+0.0724566
+0.0738534
+0.075288
+0.0767584
+0.0782624
+0.0797983
+0.0813641
+0.111427
+0.111211
+0.111037
+0.110907
+0.110819
+0.110775
+0.110774
+0.110233
+0.108691
+0.107173
+0.105677
+0.104207
+0.102762
+0.101344
+0.0999479
+0.0985672
+0.0972098
+0.0958719
+0.0945649
+0.0932869
+0.0919769
+0.0907006
+0.0894393
+0.0882144
+0.0870273
+0.0858798
+0.0847734
+0.0837096
+0.0826902
+0.0816851
+0.0807255
+0.0795854
+0.078485
+0.0774246
+0.0764118
+0.075449
+0.0745382
+0.0736813
+0.0728802
+0.0721367
+0.0714527
+0.0708256
+0.0702599
+0.0697585
+0.0693228
+0.0689539
+0.068653
+0.0684209
+0.0682584
+0.068166
+0.0681438
+0.0671346
+0.0661135
+0.0651502
+0.0642471
+0.0633953
+0.0626055
+0.0618832
+0.0612308
+0.0606505
+0.0601445
+0.0597147
+0.0593626
+0.0590897
+0.058897
+0.0587854
+0.0584416
+0.0580474
+0.0577337
+0.0575019
+0.0573384
+0.0572565
+0.0572585
+0.0573286
+0.0574816
+0.0577173
+0.0580349
+0.0584329
+0.0589097
+0.0594619
+0.060075
+0.060761
+0.0615174
+0.0623416
+0.063231
+0.0641727
+0.0651702
+0.0662253
+0.067335
+0.0684969
+0.0697062
+0.0709544
+0.0722475
+0.073583
+0.0749588
+0.0763727
+0.0778226
+0.0793064
+0.0808225
+0.0823688
+0.112867
+0.112654
+0.112482
+0.112353
+0.112267
+0.112223
+0.112222
+0.110972
+0.109441
+0.107933
+0.106449
+0.104989
+0.103555
+0.102148
+0.100768
+0.0994014
+0.0980531
+0.0967275
+0.0954322
+0.0941701
+0.0928884
+0.0916252
+0.0903823
+0.0891703
+0.0879962
+0.0868614
+0.0857676
+0.0847164
+0.0837093
+0.0827208
+0.0817733
+0.0808741
+0.0798543
+0.0788123
+0.0778176
+0.0768724
+0.0759786
+0.0751381
+0.0743527
+0.0736241
+0.0729529
+0.0723376
+0.0717839
+0.0712932
+0.0708669
+0.0705061
+0.0702118
+0.0699849
+0.0698261
+0.0697357
+0.0697141
+0.0687919
+0.0677958
+0.0668567
+0.0659728
+0.0651405
+0.0643722
+0.0636699
+0.063036
+0.0624725
+0.0619814
+0.0615644
+0.0612229
+0.0609583
+0.0607716
+0.0603637
+0.0599021
+0.0595176
+0.0592117
+0.0589854
+0.0588243
+0.0587445
+0.058744
+0.0588117
+0.0589608
+0.0591907
+0.0595004
+0.0598887
+0.060354
+0.0608931
+0.0614919
+0.0621623
+0.0629018
+0.0637081
+0.0645787
+0.0655041
+0.0664817
+0.0675162
+0.0686051
+0.0697458
+0.0709358
+0.0721709
+0.0734425
+0.0747567
+0.0761113
+0.0775042
+0.0789332
+0.0803966
+0.0818925
+0.083419
+0.114331
+0.11412
+0.113951
+0.113823
+0.113738
+0.113695
+0.113292
+0.11175
+0.11023
+0.108732
+0.107259
+0.10581
+0.104388
+0.102992
+0.101624
+0.100274
+0.0989375
+0.0976247
+0.0963415
+0.0950915
+0.0938423
+0.092592
+0.091368
+0.0901693
+0.0890083
+0.0878867
+0.0868058
+0.0857673
+0.0847702
+0.0838009
+0.0828658
+0.0819786
+0.0811328
+0.0802358
+0.0792589
+0.0783311
+0.0774542
+0.0766299
+0.0758599
+0.0751459
+0.0744862
+0.0738837
+0.0733416
+0.0728614
+0.0724443
+0.0720914
+0.0718037
+0.0715818
+0.0714265
+0.0713381
+0.071317
+0.0704783
+0.0695064
+0.0685907
+0.0677225
+0.066912
+0.0661642
+0.0654812
+0.064865
+0.0643176
+0.0638406
+0.0634358
+0.0631045
+0.0628478
+0.0623805
+0.0618564
+0.061406
+0.061031
+0.0607327
+0.0605101
+0.0603531
+0.0602753
+0.0602719
+0.0603379
+0.0604833
+0.0607074
+0.0610094
+0.0613881
+0.0618422
+0.0623684
+0.0629532
+0.0636081
+0.0643311
+0.0651197
+0.0659717
+0.0668807
+0.0678385
+0.0688526
+0.0699207
+0.0710403
+0.072209
+0.0734245
+0.0746827
+0.0759755
+0.0773087
+0.0786803
+0.0800884
+0.0815311
+0.0830065
+0.0845129
+0.115818
+0.115609
+0.115442
+0.115317
+0.115232
+0.11519
+0.114096
+0.112565
+0.111056
+0.10957
+0.108108
+0.106671
+0.10526
+0.103875
+0.102519
+0.101186
+0.0998622
+0.0985625
+0.0972917
+0.096054
+0.0948371
+0.0936001
+0.0923952
+0.09121
+0.0900625
+0.0889541
+0.0878864
+0.0868588
+0.0858703
+0.0849239
+0.084001
+0.0831211
+0.0822828
+0.0814948
+0.0807278
+0.0798234
+0.078963
+0.0781546
+0.0773998
+0.0766998
+0.0760517
+0.0754616
+0.074931
+0.0744611
+0.074053
+0.0737078
+0.0734264
+0.0732094
+0.0730576
+0.0729712
+0.0729505
+0.0721918
+0.0712433
+0.0703461
+0.0694972
+0.0687077
+0.0679797
+0.0673151
+0.0667158
+0.0661837
+0.0657203
+0.0653271
+0.0650054
+0.0644831
+0.0639012
+0.0633897
+0.0629503
+0.0625845
+0.0622937
+0.0620747
+0.0619217
+0.0618459
+0.0618397
+0.0619041
+0.0620458
+0.0622642
+0.0625587
+0.0629281
+0.0633712
+0.0638847
+0.0644558
+0.0650957
+0.0658022
+0.0665734
+0.067407
+0.0682999
+0.069238
+0.070232
+0.0712794
+0.072378
+0.0735254
+0.0747195
+0.075958
+0.0772371
+0.0785489
+0.0798993
+0.0812863
+0.082708
+0.0841628
+0.0856489
+0.117326
+0.117121
+0.116956
+0.116832
+0.116749
+0.116475
+0.114934
+0.113414
+0.111916
+0.110442
+0.108992
+0.107566
+0.106167
+0.104795
+0.103451
+0.102136
+0.100826
+0.0995397
+0.0982815
+0.0970565
+0.0958658
+0.0946482
+0.0934601
+0.092291
+0.091157
+0.0900621
+0.0890063
+0.0879874
+0.0870117
+0.0860789
+0.085168
+0.0843009
+0.0834744
+0.0826955
+0.0819361
+0.0812286
+0.0805031
+0.0797104
+0.0789704
+0.0782823
+0.0776474
+0.0770696
+0.0765501
+0.0760902
+0.0756909
+0.0753532
+0.0750779
+0.0748658
+0.0747173
+0.0746328
+0.0746126
+0.0739305
+0.0730046
+0.0721228
+0.0712951
+0.0705257
+0.0698166
+0.0691697
+0.0685866
+0.0680691
+0.0676187
+0.0672366
+0.0666635
+0.0660281
+0.0654599
+0.0649607
+0.064532
+0.0641752
+0.0638916
+0.0636763
+0.0635271
+0.0634532
+0.0634444
+0.0635072
+0.0636453
+0.0638583
+0.0641455
+0.0645058
+0.064938
+0.0654393
+0.065997
+0.066622
+0.0673125
+0.0680666
+0.0688822
+0.069757
+0.0706778
+0.0716517
+0.0726787
+0.0737564
+0.0748828
+0.0760555
+0.0772726
+0.078532
+0.07983
+0.0811591
+0.0825249
+0.0839257
+0.0853597
+0.0868253
+0.0955523
+0.0937383
+0.0919407
+0.0901605
+0.0883987
+0.0866565
+0.084935
+0.0832356
+0.0815597
+0.0799086
+0.078284
+0.0766876
+0.0751212
+0.0735848
+0.0720815
+0.0706142
+0.0691851
+0.0677914
+0.0664351
+0.0651242
+0.0638615
+0.06265
+0.0614927
+0.0603928
+0.0593533
+0.0583776
+0.0574688
+0.0566303
+0.0558651
+0.0551763
+0.0545669
+0.0540395
+0.0535964
+0.0532399
+0.0529717
+0.0527931
+0.052705
+0.0527075
+0.0527838
+0.0529507
+0.0532073
+0.0535524
+0.0539842
+0.0545008
+0.0550996
+0.0557782
+0.0565335
+0.0573626
+0.0582623
+0.0592294
+0.0602606
+0.0613527
+0.0624909
+0.0636829
+0.0649269
+0.0662201
+0.0675596
+0.0689426
+0.0703667
+0.0718294
+0.0733284
+0.0748614
+0.0764265
+0.0780218
+0.0796442
+0.0812929
+0.0829667
+0.0846641
+0.0863837
+0.0881242
+0.0898844
+0.0916632
+0.0934595
+0.0952722
+0.0971006
+0.0989436
+0.100801
+0.102671
+0.104485
+0.10611
+0.107752
+0.109093
+0.110461
+0.111856
+0.113275
+0.114719
+0.116187
+0.117485
+0.118027
+0.118608
+0.119226
+0.119881
+0.120572
+0.121299
+0.122061
+0.122857
+0.123687
+0.124542
+0.12532
+0.1261
+0.0946703
+0.092839
+0.0910236
+0.0892251
+0.0874445
+0.0856829
+0.0839414
+0.0822215
+0.0805244
+0.0788517
+0.0772049
+0.0755857
+0.073996
+0.0724357
+0.0709081
+0.0694159
+0.0679616
+0.0665477
+0.0651743
+0.0638375
+0.0625488
+0.0613114
+0.0601284
+0.059003
+0.0579386
+0.0569386
+0.0560066
+0.0551458
+0.0543597
+0.0536516
+0.0530247
+0.0524817
+0.0520254
+0.0516581
+0.0513816
+0.0511974
+0.0511066
+0.0511096
+0.051206
+0.051378
+0.0516425
+0.0519979
+0.0524426
+0.0529741
+0.0535901
+0.0542875
+0.0550632
+0.0559141
+0.0568368
+0.0578277
+0.0588835
+0.0600007
+0.061164
+0.0623814
+0.0636509
+0.0649694
+0.0663342
+0.0677423
+0.069191
+0.0706781
+0.0722009
+0.0737574
+0.0753455
+0.0769631
+0.0786074
+0.0802774
+0.081972
+0.0836895
+0.0854288
+0.0871883
+0.0889671
+0.0907638
+0.0925775
+0.0944072
+0.096252
+0.098111
+0.0999835
+0.101852
+0.103461
+0.104765
+0.106099
+0.107461
+0.10885
+0.110264
+0.111704
+0.113168
+0.114656
+0.116165
+0.116924
+0.11751
+0.118134
+0.118795
+0.119492
+0.120225
+0.120994
+0.121797
+0.122561
+0.123349
+0.12413
+0.12491
+0.0938311
+0.0919831
+0.0901505
+0.0883342
+0.0865352
+0.0847547
+0.0829938
+0.0812538
+0.0795361
+0.0778422
+0.0761735
+0.074532
+0.0729192
+0.0713354
+0.0697837
+0.068267
+0.0667877
+0.0653483
+0.0639517
+0.0626005
+0.0612864
+0.060023
+0.058814
+0.057663
+0.0565734
+0.0555489
+0.054593
+0.0537096
+0.0529022
+0.0521744
+0.0515294
+0.0509706
+0.0505006
+0.0501221
+0.0498371
+0.0496472
+0.0495535
+0.0495566
+0.0496564
+0.049852
+0.0501245
+0.0504907
+0.0509485
+0.0514955
+0.0521289
+0.0528456
+0.0536422
+0.0545153
+0.0554612
+0.0564763
+0.0575569
+0.0586993
+0.0598879
+0.0611307
+0.0624256
+0.0637695
+0.0651594
+0.0665923
+0.0680656
+0.0695767
+0.0711231
+0.0727027
+0.0743133
+0.0759529
+0.0776186
+0.0793094
+0.0810242
+0.0827615
+0.0845198
+0.0862979
+0.0880946
+0.0899088
+0.0917394
+0.0935855
+0.0954462
+0.0973206
+0.0992079
+0.10049
+0.101785
+0.103111
+0.104466
+0.105849
+0.107258
+0.108694
+0.110154
+0.111639
+0.113146
+0.114675
+0.115851
+0.116443
+0.117072
+0.117739
+0.118443
+0.119172
+0.119862
+0.120588
+0.121349
+0.122145
+0.122956
+0.123728
+0.0930359
+0.0911718
+0.0893225
+0.0874891
+0.0856723
+0.0838735
+0.0820937
+0.0803342
+0.0785964
+0.0768818
+0.0751919
+0.0735284
+0.0718931
+0.0702862
+0.0687108
+0.0671698
+0.0656658
+0.0642013
+0.0627792
+0.0614022
+0.0600736
+0.0587878
+0.0575529
+0.0563761
+0.0552612
+0.0542119
+0.053232
+0.0523256
+0.0514965
+0.0507485
+0.0500852
+0.0495101
+0.0490261
+0.0486361
+0.0483424
+0.0481466
+0.04805
+0.0480532
+0.0481561
+0.0483582
+0.0486555
+0.0490326
+0.0495039
+0.0500667
+0.0507179
+0.0514542
+0.0522721
+0.0531677
+0.0541371
+0.0551766
+0.0562821
+0.05745
+0.0586659
+0.059934
+0.0612542
+0.0626233
+0.064038
+0.0654955
+0.0669929
+0.0685276
+0.0700972
+0.0716994
+0.073332
+0.0749931
+0.0766796
+0.0783907
+0.0801252
+0.0818815
+0.0836584
+0.0854544
+0.0872685
+0.0890995
+0.0909464
+0.0928082
+0.0946842
+0.0962743
+0.0975273
+0.098813
+0.10013
+0.101477
+0.102854
+0.104258
+0.105689
+0.107145
+0.108627
+0.110132
+0.111659
+0.113209
+0.114775
+0.115403
+0.116042
+0.116677
+0.1173
+0.11796
+0.118658
+0.119391
+0.12016
+0.120963
+0.121691
+0.122442
+0.0922858
+0.0904063
+0.0885411
+0.0866911
+0.0848573
+0.0830408
+0.0812427
+0.0794644
+0.0777072
+0.0759725
+0.0742618
+0.072577
+0.0709199
+0.0692904
+0.0676918
+0.0661271
+0.0645988
+0.0631096
+0.0616622
+0.0602597
+0.0589054
+0.0576025
+0.0563466
+0.055144
+0.0540037
+0.0529294
+0.0519254
+0.0509958
+0.0501447
+0.0493762
+0.0486942
+0.0481024
+0.0476042
+0.0472024
+0.0468997
+0.0466979
+0.0465982
+0.0466015
+0.0467077
+0.046916
+0.0472251
+0.0476136
+0.0480988
+0.0486778
+0.0493474
+0.0501039
+0.0509434
+0.051862
+0.0528554
+0.0539196
+0.0550504
+0.0562438
+0.057496
+0.0587946
+0.0601398
+0.0615337
+0.0629729
+0.0644545
+0.0659755
+0.0675334
+0.0691255
+0.0707497
+0.0724038
+0.0740857
+0.0757924
+0.0775231
+0.0792765
+0.0810512
+0.0828459
+0.0846592
+0.0864899
+0.088337
+0.0901996
+0.0920765
+0.093332
+0.0945733
+0.0958485
+0.0971564
+0.0984956
+0.099865
+0.101263
+0.102689
+0.104142
+0.10562
+0.107122
+0.108648
+0.110196
+0.111748
+0.113319
+0.114322
+0.114874
+0.115465
+0.116095
+0.116762
+0.117466
+0.118207
+0.118983
+0.119694
+0.120417
+0.121176
+0.0915821
+0.0896878
+0.0878073
+0.0859415
+0.0840914
+0.082258
+0.0804425
+0.078646
+0.0768701
+0.075116
+0.0733854
+0.07168
+0.0700016
+0.0683503
+0.0667291
+0.0651413
+0.0635894
+0.0620759
+0.0606039
+0.0591764
+0.0577966
+0.0564682
+0.0551947
+0.0539728
+0.0528071
+0.051708
+0.0506798
+0.0497269
+0.0488537
+0.0480646
+0.0473637
+0.0467551
+0.0462423
+0.0458286
+0.0455167
+0.0453088
+0.0452061
+0.0452095
+0.0453189
+0.0455335
+0.0458519
+0.0462549
+0.0467542
+0.0473497
+0.0480378
+0.0488146
+0.0496759
+0.0506174
+0.0516348
+0.0527236
+0.0538795
+0.0550983
+0.056376
+0.0577007
+0.0590737
+0.0604948
+0.0619608
+0.0634686
+0.0650152
+0.0665964
+0.0682104
+0.0698559
+0.0715306
+0.0732318
+0.0749576
+0.0767071
+0.0784788
+0.0802712
+0.0820829
+0.0839126
+0.0857593
+0.0876219
+0.0891996
+0.0904001
+0.0916287
+0.0928927
+0.0941907
+0.0955213
+0.0968831
+0.098275
+0.0996955
+0.101144
+0.102618
+0.104117
+0.105641
+0.107178
+0.108726
+0.110296
+0.111887
+0.113118
+0.113676
+0.114273
+0.114909
+0.115583
+0.116295
+0.117043
+0.117744
+0.118439
+0.11917
+0.119936
+0.0909257
+0.0890174
+0.0871225
+0.0852417
+0.083376
+0.0815265
+0.0796944
+0.0778807
+0.0760869
+0.0743143
+0.0725646
+0.0708395
+0.0691407
+0.0674682
+0.0658254
+0.0642152
+0.0626403
+0.0611034
+0.0596073
+0.0581553
+0.0567508
+0.0553972
+0.0540986
+0.0528589
+0.0516757
+0.050552
+0.0494998
+0.0485237
+0.0476285
+0.0468187
+0.0460989
+0.0454734
+0.044946
+0.0445203
+0.0441992
+0.0439849
+0.0438792
+0.0438827
+0.0439954
+0.0442164
+0.0445443
+0.0449619
+0.0454754
+0.0460874
+0.0467941
+0.0475912
+0.0484743
+0.0494387
+0.0504798
+0.051593
+0.0527737
+0.0540175
+0.05532
+0.0566695
+0.0580668
+0.059512
+0.0610017
+0.0625326
+0.0641018
+0.0657066
+0.0673444
+0.0690129
+0.0707099
+0.0724316
+0.074176
+0.0759435
+0.0777326
+0.0795418
+0.0813697
+0.0832152
+0.085077
+0.0862824
+0.08747
+0.0886946
+0.0899465
+0.0912338
+0.092555
+0.0939088
+0.0952937
+0.0967084
+0.0981516
+0.0996221
+0.101119
+0.102637
+0.104161
+0.105708
+0.107278
+0.108866
+0.110462
+0.111942
+0.112506
+0.11311
+0.113752
+0.114433
+0.115152
+0.115842
+0.116507
+0.117209
+0.117947
+0.118721
+0.0903177
+0.0883963
+0.0864877
+0.0845928
+0.0827125
+0.0808479
+0.0789999
+0.0771699
+0.0753592
+0.0735691
+0.0718013
+0.0700573
+0.0683391
+0.0666465
+0.0649829
+0.0633513
+0.0617544
+0.0601949
+0.0586757
+0.0572
+0.0557714
+0.0543935
+0.0530703
+0.051806
+0.050605
+0.0494661
+0.0483903
+0.0473914
+0.0464744
+0.0456441
+0.0449055
+0.0442631
+0.0437211
+0.0432833
+0.042953
+0.0427325
+0.0426236
+0.0426272
+0.0427432
+0.0429707
+0.043308
+0.0437405
+0.0442682
+0.0448967
+0.0456218
+0.046439
+0.0473435
+0.0483305
+0.049395
+0.0505321
+0.051737
+0.0530051
+0.054332
+0.0557054
+0.0571263
+0.0585947
+0.0601071
+0.0616602
+0.0632511
+0.0648769
+0.0665352
+0.0682235
+0.0699396
+0.0716817
+0.0734477
+0.0752326
+0.0770381
+0.0788632
+0.0807066
+0.0822483
+0.0833783
+0.0845499
+0.0857615
+0.0870108
+0.0882865
+0.0895977
+0.0909427
+0.0923201
+0.0937285
+0.0951665
+0.0966327
+0.098126
+0.0996276
+0.101149
+0.102695
+0.104259
+0.105834
+0.10743
+0.109047
+0.110683
+0.111367
+0.111977
+0.112626
+0.113313
+0.113989
+0.114623
+0.115294
+0.116004
+0.11675
+0.117532
+0.0897517
+0.0878244
+0.0859041
+0.0839961
+0.0821021
+0.0802233
+0.0783606
+0.0765153
+0.0746887
+0.0728822
+0.0710973
+0.0693356
+0.067599
+0.0658875
+0.0642042
+0.0625523
+0.0609344
+0.0593533
+0.057812
+0.0563138
+0.0548621
+0.0534608
+0.0521139
+0.0508258
+0.049601
+0.0484444
+0.0473562
+0.046335
+0.0453966
+0.0445463
+0.0437892
+0.0431301
+0.0425737
+0.042124
+0.0417845
+0.0415578
+0.0414459
+0.0414496
+0.0415689
+0.0418028
+0.0421494
+0.0425968
+0.0431385
+0.0437832
+0.0445264
+0.0453634
+0.0462889
+0.047298
+0.0483852
+0.0495455
+0.0507738
+0.0520653
+0.0534155
+0.0548119
+0.0562554
+0.0577459
+0.05928
+0.0608542
+0.0624656
+0.0641114
+0.0657889
+0.0674959
+0.0692301
+0.0709895
+0.0727724
+0.0745734
+0.0763946
+0.0782347
+0.079378
+0.0804886
+0.081643
+0.0828391
+0.0840754
+0.08535
+0.0866502
+0.0879858
+0.0893551
+0.0907566
+0.0921888
+0.0936505
+0.0951304
+0.0966234
+0.0981426
+0.0996801
+0.101231
+0.102805
+0.104402
+0.106019
+0.107657
+0.109315
+0.110249
+0.110876
+0.111531
+0.112191
+0.112792
+0.113433
+0.114111
+0.114828
+0.115582
+0.116372
+0.0892329
+0.0872941
+0.0853675
+0.0834526
+0.081546
+0.0796541
+0.0777778
+0.0759183
+0.074077
+0.0722552
+0.0704544
+0.0686762
+0.0669225
+0.0651932
+0.0634915
+0.0618206
+0.0601831
+0.0585817
+0.0570195
+0.0554999
+0.0540263
+0.0526027
+0.0512333
+0.0499225
+0.048675
+0.0474958
+0.0463902
+0.0453599
+0.0444009
+0.0435311
+0.042756
+0.0420808
+0.0415103
+0.041049
+0.0407005
+0.0404678
+0.0403528
+0.0403566
+0.0404791
+0.0407193
+0.041075
+0.0415354
+0.0420907
+0.0427512
+0.0435121
+0.0443681
+0.0453141
+0.0463443
+0.0474534
+0.0486359
+0.0498866
+0.0512005
+0.052573
+0.0539926
+0.0554574
+0.0569688
+0.0585232
+0.0601173
+0.0617479
+0.0634123
+0.0651079
+0.0668323
+0.0685832
+0.0703589
+0.0721573
+0.0739733
+0.0754837
+0.0765254
+0.0776151
+0.0787506
+0.07993
+0.0811514
+0.082413
+0.0837129
+0.0850388
+0.0863993
+0.0877933
+0.0892194
+0.0906748
+0.0921359
+0.0936254
+0.0951326
+0.0966572
+0.098207
+0.0997808
+0.101378
+0.102996
+0.104635
+0.106295
+0.107973
+0.109098
+0.109737
+0.110416
+0.111018
+0.111626
+0.112273
+0.112958
+0.113682
+0.114444
+0.115241
+0.0887651
+0.0868159
+0.0848785
+0.0829536
+0.0810423
+0.0791414
+0.0772527
+0.0753803
+0.0735255
+0.0716897
+0.0698743
+0.068081
+0.0663115
+0.0645658
+0.0628472
+0.0611587
+0.0595029
+0.0578827
+0.0563012
+0.0547616
+0.0532676
+0.0518232
+0.0504326
+0.0491004
+0.0478315
+0.046631
+0.0455043
+0.0444566
+0.0434781
+0.0425895
+0.0417969
+0.0411059
+0.0405217
+0.040049
+0.0396917
+0.039453
+0.0393351
+0.039339
+0.0394646
+0.039711
+0.0400757
+0.0405526
+0.0411212
+0.0417971
+0.042575
+0.0434495
+0.044415
+0.0454656
+0.0465956
+0.0477994
+0.0490714
+0.0504066
+0.0518001
+0.0532472
+0.0547355
+0.0562663
+0.0578396
+0.059452
+0.0611004
+0.062782
+0.0644941
+0.0662344
+0.0680008
+0.0697913
+0.071604
+0.0726764
+0.0736927
+0.0747594
+0.0758744
+0.0770356
+0.0782409
+0.0794883
+0.0807758
+0.0821017
+0.0834539
+0.0848397
+0.086259
+0.0876923
+0.0891484
+0.0906218
+0.0921168
+0.0936393
+0.0951878
+0.0967611
+0.098358
+0.0999775
+0.101618
+0.10328
+0.10496
+0.10666
+0.107969
+0.108616
+0.109303
+0.109876
+0.11049
+0.111144
+0.111837
+0.112568
+0.113336
+0.114142
+0.0883492
+0.0863906
+0.0844434
+0.0825084
+0.0805866
+0.0786787
+0.076786
+0.0749025
+0.0730356
+0.0711871
+0.0693585
+0.0675515
+0.0657679
+0.0640073
+0.0622733
+0.0605688
+0.0588964
+0.0572591
+0.0556598
+0.054102
+0.0525893
+0.0511257
+0.0497156
+0.0483636
+0.0470749
+0.0458546
+0.0447084
+0.0436416
+0.0426443
+0.0417379
+0.0409289
+0.040223
+0.0396258
+0.0391422
+0.0387766
+0.0385323
+0.0384115
+0.0384155
+0.0385441
+0.0387963
+0.0391695
+0.0396605
+0.0402478
+0.040938
+0.041732
+0.0426238
+0.0436076
+0.0446772
+0.0458266
+0.0470501
+0.0483418
+0.0496966
+0.0511095
+0.0525756
+0.0540907
+0.0556413
+0.0572317
+0.0588608
+0.0605253
+0.0622224
+0.0639495
+0.0657043
+0.0674846
+0.0689421
+0.0698936
+0.0708822
+0.0719238
+0.0730164
+0.0741576
+0.0753453
+0.0765771
+0.0778512
+0.0791654
+0.0805177
+0.0818968
+0.0832998
+0.0847181
+0.0861533
+0.0876151
+0.0891067
+0.0906267
+0.0921738
+0.0937465
+0.0953436
+0.0969639
+0.0986062
+0.10027
+0.101953
+0.103655
+0.105375
+0.10684
+0.107494
+0.108188
+0.108767
+0.109387
+0.110047
+0.110747
+0.111485
+0.112261
+0.113074
+0.0879858
+0.086019
+0.0840632
+0.0821193
+0.0801881
+0.0782705
+0.0763677
+0.0744807
+0.0726084
+0.0707488
+0.0689086
+0.0670895
+0.0652932
+0.0635195
+0.0617718
+0.060053
+0.0583659
+0.0567132
+0.0550981
+0.053524
+0.0519944
+0.0505136
+0.049086
+0.0477162
+0.0464094
+0.0451711
+0.0440071
+0.0429229
+0.0419085
+0.0409859
+0.0401617
+0.0394421
+0.0388329
+0.0383394
+0.037966
+0.0377164
+0.037593
+0.0375971
+0.0377285
+0.0379861
+0.0383672
+0.0388683
+0.0394767
+0.0401802
+0.0409888
+0.0418965
+0.042897
+0.0439839
+0.045151
+0.0463922
+0.0477018
+0.0490743
+0.0505045
+0.0519877
+0.0535195
+0.0550953
+0.056702
+0.0583459
+0.0600246
+0.0617355
+0.0634759
+0.0652434
+0.0661454
+0.0671018
+0.0680966
+0.0691108
+0.0701788
+0.0712981
+0.0724664
+0.0736813
+0.0749362
+0.0762267
+0.0775577
+0.0789271
+0.0803328
+0.0817341
+0.0831581
+0.0846149
+0.0861028
+0.0876202
+0.0891655
+0.0907375
+0.0923347
+0.0939558
+0.0955996
+0.097265
+0.0989508
+0.100656
+0.10238
+0.104121
+0.105742
+0.106404
+0.107105
+0.10769
+0.108317
+0.108983
+0.10969
+0.110435
+0.111218
+0.112032
+0.0876758
+0.0857018
+0.0837386
+0.0817869
+0.0798477
+0.0779218
+0.0760102
+0.0741141
+0.0722347
+0.0703732
+0.0685258
+0.0666963
+0.0648891
+0.063104
+0.0613444
+0.0596134
+0.0579135
+0.0562475
+0.0546186
+0.0530302
+0.051486
+0.0499902
+0.0485471
+0.0471617
+0.0458391
+0.044585
+0.0434053
+0.0423056
+0.0412761
+0.040339
+0.0395013
+0.0387694
+0.0381495
+0.037647
+0.0372667
+0.0370124
+0.0368866
+0.0368907
+0.0370247
+0.0372872
+0.0376754
+0.0381855
+0.0388127
+0.0395294
+0.0403511
+0.0412728
+0.042288
+0.0433902
+0.0445728
+0.0458297
+0.0471549
+0.0485428
+0.0499877
+0.0514835
+0.0530276
+0.054616
+0.0562448
+0.0579093
+0.0596004
+0.0613231
+0.0625092
+0.0633752
+0.0642973
+0.06528
+0.0662895
+0.067331
+0.0684263
+0.0695734
+0.0707697
+0.0720016
+0.0732784
+0.0745976
+0.0759572
+0.0773548
+0.0787537
+0.0801708
+0.0816221
+0.0831058
+0.0846202
+0.0861637
+0.0877347
+0.0893319
+0.0909537
+0.092599
+0.0942665
+0.095955
+0.0976635
+0.0993909
+0.101136
+0.102899
+0.104564
+0.105266
+0.106009
+0.106648
+0.10728
+0.107953
+0.108666
+0.109419
+0.110202
+0.110964
+0.0874195
+0.0854396
+0.0834702
+0.0815122
+0.0795662
+0.0776334
+0.0757145
+0.0738108
+0.0719234
+0.0700537
+0.0682031
+0.0663724
+0.0645558
+0.0627623
+0.0609928
+0.0592515
+0.0575409
+0.0558638
+0.0542234
+0.0526231
+0.0510666
+0.0495581
+0.0481021
+0.0467034
+0.0453675
+0.0441
+0.0429069
+0.0417942
+0.0407517
+0.0398023
+0.0389531
+0.0382107
+0.0375815
+0.0370713
+0.0366851
+0.0364267
+0.0362989
+0.0363031
+0.0364392
+0.0367059
+0.0371001
+0.0376181
+0.0382546
+0.0389865
+0.0398193
+0.0407531
+0.0417809
+0.0428961
+0.044092
+0.0453622
+0.0467007
+0.0480997
+0.0495556
+0.0510641
+0.0526205
+0.0542208
+0.0558611
+0.0575381
+0.0590359
+0.0598038
+0.0606358
+0.061521
+0.0624706
+0.0634632
+0.0644876
+0.0655573
+0.0666817
+0.0678583
+0.0690813
+0.0703429
+0.0716492
+0.0729979
+0.0743867
+0.0757827
+0.0771922
+0.0786374
+0.0801165
+0.0816275
+0.0831689
+0.0847388
+0.0863358
+0.0879583
+0.0896051
+0.0912747
+0.0929659
+0.0946776
+0.0964087
+0.0981582
+0.0999251
+0.101708
+0.10342
+0.10413
+0.104881
+0.105641
+0.106279
+0.106959
+0.107678
+0.108429
+0.109095
+0.109752
+0.0872175
+0.0852329
+0.0832587
+0.0812955
+0.0793443
+0.0774058
+0.0754812
+0.0735715
+0.0716778
+0.0698015
+0.067944
+0.0661062
+0.0642821
+0.0624815
+0.0607066
+0.0589596
+0.0572432
+0.0555602
+0.0539136
+0.0523046
+0.0507384
+0.0492198
+0.0477535
+0.0463443
+0.0449977
+0.0437195
+0.0425158
+0.0413925
+0.0403397
+0.0393803
+0.0385218
+0.0377709
+0.0371343
+0.0366179
+0.0362268
+0.0359651
+0.0358357
+0.0358399
+0.0359778
+0.0362478
+0.036647
+0.0371713
+0.0378154
+0.0385555
+0.0393975
+0.040341
+0.0413791
+0.0425048
+0.0437114
+0.0449924
+0.0463416
+0.0477511
+0.0492174
+0.0507358
+0.052302
+0.0539118
+0.0555612
+0.0564141
+0.0571382
+0.0579273
+0.058777
+0.0596897
+0.0606634
+0.0616588
+0.062709
+0.0638084
+0.0649632
+0.0661703
+0.0674219
+0.0687139
+0.0700506
+0.0714295
+0.0728223
+0.0742233
+0.0756618
+0.0771358
+0.0786431
+0.0801819
+0.0817505
+0.0833472
+0.0849703
+0.0866184
+0.0882902
+0.0899842
+0.0916992
+0.0934341
+0.0951879
+0.0969594
+0.0987477
+0.100551
+0.10231
+0.103027
+0.103786
+0.104563
+0.105314
+0.106
+0.106699
+0.107282
+0.107905
+0.10857
+0.0870702
+0.0850822
+0.0831044
+0.0811375
+0.0791823
+0.0772398
+0.0753109
+0.0733968
+0.0714985
+0.0696173
+0.0677548
+0.0659117
+0.0640821
+0.0622757
+0.0604947
+0.0587415
+0.0570185
+0.0553286
+0.053675
+0.052061
+0.0504904
+0.0489676
+0.0474969
+0.0460836
+0.0447323
+0.0434463
+0.0422348
+0.0411038
+0.0400434
+0.0390767
+0.0382114
+0.0374543
+0.0368122
+0.0362912
+0.0358966
+0.0356325
+0.0355018
+0.0355061
+0.0356453
+0.0359178
+0.0363207
+0.0368495
+0.0374991
+0.0382454
+0.0390941
+0.0400448
+0.0410903
+0.0422237
+0.0434382
+0.0447269
+0.0460839
+0.0475011
+0.0489748
+0.0505006
+0.0520739
+0.0532467
+0.053843
+0.0545184
+0.0552581
+0.0560698
+0.0569417
+0.0578834
+0.0588547
+0.0598802
+0.0609551
+0.0620856
+0.0632718
+0.0645106
+0.0657936
+0.067117
+0.0684841
+0.0698707
+0.0712655
+0.0726965
+0.0741647
+0.0756678
+0.0772038
+0.0787707
+0.0803669
+0.0819905
+0.0836399
+0.0853138
+0.0870106
+0.088729
+0.0904678
+0.0922259
+0.0940022
+0.0957839
+0.0975707
+0.0993736
+0.101167
+0.101893
+0.10266
+0.103458
+0.104279
+0.104982
+0.105529
+0.106117
+0.106748
+0.107419
+0.0869779
+0.0849877
+0.0830076
+0.0810383
+0.0790807
+0.0771357
+0.0752041
+0.0732872
+0.0713859
+0.0695018
+0.0676361
+0.0657897
+0.0639565
+0.0621465
+0.0603617
+0.0586045
+0.0568774
+0.0551832
+0.053525
+0.0519063
+0.050331
+0.0488031
+0.0473274
+0.0459088
+0.0445528
+0.0432653
+0.0420525
+0.0409212
+0.0398655
+0.0388944
+0.0380249
+0.037264
+0.0366186
+0.0360948
+0.035698
+0.0354324
+0.035301
+0.0353053
+0.0354453
+0.0357193
+0.0361244
+0.0366561
+0.0373091
+0.0380591
+0.0389118
+0.0398668
+0.0409169
+0.042055
+0.0432742
+0.0445677
+0.0459294
+0.0473512
+0.0488294
+0.0503573
+0.0507988
+0.0513301
+0.0519484
+0.0526359
+0.0534016
+0.0542313
+0.0551323
+0.0560815
+0.0570727
+0.0581269
+0.0592303
+0.0603932
+0.0616119
+0.0628835
+0.0641988
+0.0655501
+0.0669258
+0.0683201
+0.0697428
+0.0712044
+0.0727027
+0.0742354
+0.0758004
+0.0773958
+0.0790197
+0.0806704
+0.0823463
+0.0840459
+0.0857678
+0.0875107
+0.0892732
+0.0910303
+0.0928052
+0.0945976
+0.0964063
+0.0982307
+0.100013
+0.100747
+0.101522
+0.102339
+0.103196
+0.103838
+0.104391
+0.104986
+0.105623
+0.106302
+0.0869353
+0.0849444
+0.0829635
+0.0809934
+0.0790349
+0.077089
+0.0751565
+0.0732385
+0.0713363
+0.0694511
+0.0675843
+0.0657374
+0.0639058
+0.0620944
+0.0603081
+0.0585492
+0.0568204
+0.0551244
+0.0534645
+0.0518439
+0.0502666
+0.0487367
+0.0472589
+0.0458382
+0.0444801
+0.0431904
+0.0419754
+0.040842
+0.0397969
+0.038835
+0.0379641
+0.037202
+0.0365555
+0.0360307
+0.0356332
+0.0353671
+0.0352355
+0.0352398
+0.0353801
+0.0356546
+0.0360604
+0.036593
+0.0372471
+0.0379984
+0.0388524
+0.0398089
+0.0408605
+0.0420001
+0.0432208
+0.0445159
+0.045879
+0.0473024
+0.0480621
+0.0484255
+0.0488844
+0.0494363
+0.0500681
+0.0507781
+0.0515647
+0.05242
+0.0533387
+0.0542915
+0.0553146
+0.0564007
+0.0575373
+0.0587336
+0.0599862
+0.0612914
+0.062632
+0.063994
+0.0653888
+0.0668021
+0.0682564
+0.0697492
+0.071278
+0.0728407
+0.0744351
+0.0760591
+0.077711
+0.0793889
+0.0810913
+0.0828167
+0.0845517
+0.086293
+0.0880544
+0.0898347
+0.0916327
+0.0934475
+0.0952781
+0.0971237
+0.0988878
+0.0996299
+0.100414
+0.10124
+0.102106
+0.102723
+0.103284
+0.103887
+0.104532
+0.105213
+0.0869426
+0.0849518
+0.0829711
+0.0810012
+0.079043
+0.0770972
+0.0751649
+0.0732472
+0.0713452
+0.0694602
+0.0675936
+0.0657471
+0.0639223
+0.0621195
+0.0603339
+0.0585759
+0.0568479
+0.0551527
+0.0534936
+0.051874
+0.0502976
+0.0487687
+0.0472919
+0.0458722
+0.0445151
+0.0432265
+0.0420126
+0.0408801
+0.0398361
+0.0388875
+0.0380265
+0.0372657
+0.0366203
+0.0360965
+0.0356997
+0.0354342
+0.0353028
+0.0353071
+0.0354471
+0.0357211
+0.0361261
+0.0366578
+0.0373108
+0.0380638
+0.0389164
+0.0398713
+0.0409213
+0.0420593
+0.0432783
+0.0445717
+0.0456632
+0.0458568
+0.0461382
+0.0465166
+0.0469942
+0.0475635
+0.0482108
+0.0489476
+0.0497528
+0.0506182
+0.0515281
+0.0525138
+0.0535709
+0.0546954
+0.0558788
+0.0571099
+0.0583973
+0.0597308
+0.0610739
+0.0624646
+0.0638762
+0.0653222
+0.0668088
+0.0683332
+0.069893
+0.071486
+0.0731099
+0.0747627
+0.0764426
+0.0781478
+0.0798507
+0.0815747
+0.0833207
+0.0850872
+0.086873
+0.088677
+0.090498
+0.0923351
+0.0941874
+0.0960539
+0.0977901
+0.0985404
+0.0993334
+0.100168
+0.101043
+0.10163
+0.102197
+0.102806
+0.103451
+0.104137
+0.0870051
+0.0850157
+0.0830366
+0.0810683
+0.0791117
+0.0771676
+0.0752372
+0.0733213
+0.0714213
+0.0695384
+0.067674
+0.0658297
+0.0640072
+0.0622085
+0.0604357
+0.0586843
+0.0569596
+0.0552679
+0.0536124
+0.0519965
+0.0504239
+0.048899
+0.0474262
+0.0460107
+0.0446578
+0.0433733
+0.0421637
+0.0410354
+0.0399954
+0.0390507
+0.0381934
+0.037436
+0.0367936
+0.0362723
+0.0358774
+0.0356132
+0.0354825
+0.0354868
+0.035626
+0.0358987
+0.0363018
+0.0368309
+0.0374808
+0.0382454
+0.0391033
+0.0400537
+0.0410991
+0.0422322
+0.0434464
+0.0436534
+0.0437463
+0.0439484
+0.0442391
+0.0446336
+0.0451311
+0.0457095
+0.0463827
+0.0471382
+0.0479426
+0.048805
+0.0497481
+0.0507683
+0.051861
+0.0530218
+0.0542437
+0.0555151
+0.0568426
+0.0581719
+0.0595425
+0.0609538
+0.0624039
+0.0638832
+0.0654025
+0.0669589
+0.0685501
+0.0701677
+0.0718126
+0.073486
+0.075175
+0.076879
+0.0786071
+0.0803578
+0.0821296
+0.0839212
+0.0857313
+0.0875588
+0.0894026
+0.0912618
+0.0931354
+0.0950226
+0.0967295
+0.097488
+0.0982894
+0.0991328
+0.100017
+0.100573
+0.101145
+0.101753
+0.102403
+0.103096
+0.0871226
+0.085136
+0.0831597
+0.0811944
+0.0792409
+0.0773001
+0.075373
+0.0734608
+0.0715644
+0.0696853
+0.067825
+0.0659849
+0.0641669
+0.0623728
+0.0606047
+0.0588651
+0.0571552
+0.0554695
+0.0538201
+0.0522106
+0.0506447
+0.0491266
+0.0476609
+0.0462526
+0.0449069
+0.0436299
+0.0424275
+0.0413064
+0.0402734
+0.0393354
+0.0384845
+0.0377329
+0.0370956
+0.0365786
+0.0361871
+0.0359251
+0.0357956
+0.0357998
+0.0359379
+0.0362082
+0.0366078
+0.0371326
+0.0377774
+0.038536
+0.0393964
+0.04034
+0.0413781
+0.0417987
+0.041712
+0.0417388
+0.0418563
+0.0420663
+0.0423681
+0.0427799
+0.0432854
+0.0438865
+0.0445763
+0.0453109
+0.0461292
+0.047024
+0.0480021
+0.0490586
+0.0501886
+0.0513791
+0.0526286
+0.0539381
+0.0552767
+0.0566249
+0.0580246
+0.059472
+0.0609638
+0.0624736
+0.0640164
+0.0655961
+0.0672101
+0.068856
+0.0705295
+0.0722102
+0.0739177
+0.07565
+0.0774055
+0.0791828
+0.0809803
+0.0827967
+0.0846309
+0.0864817
+0.088348
+0.0902289
+0.0920804
+0.0939134
+0.0957074
+0.0964739
+0.0972837
+0.0981245
+0.0988867
+0.0995523
+0.100122
+0.100735
+0.101392
+0.102085
+0.0872949
+0.0853124
+0.0833402
+0.0813793
+0.0794304
+0.0774943
+0.0755722
+0.0736651
+0.0717742
+0.0699007
+0.0680462
+0.0662123
+0.0644007
+0.0626133
+0.0608522
+0.0591199
+0.057419
+0.0557522
+0.0541158
+0.0525154
+0.0509588
+0.0494504
+0.0479946
+0.0465963
+0.0452609
+0.0439941
+0.042802
+0.041691
+0.0406677
+0.039739
+0.0388969
+0.0381534
+0.0375233
+0.0370123
+0.0366254
+0.0363666
+0.0362386
+0.0362429
+0.0363792
+0.0366463
+0.0370412
+0.0375599
+0.0381974
+0.0389479
+0.0398039
+0.0403694
+0.0400742
+0.0398853
+0.0397959
+0.039824
+0.0399724
+0.0402138
+0.0405292
+0.0409523
+0.0414716
+0.0420756
+0.0427411
+0.0435068
+0.0443489
+0.0452789
+0.0462939
+0.0473885
+0.0485432
+0.0497675
+0.0510564
+0.0523964
+0.0537276
+0.0551138
+0.0565508
+0.058035
+0.0595369
+0.0610753
+0.0626526
+0.0642658
+0.0659124
+0.067574
+0.0692571
+0.070968
+0.0727046
+0.0744651
+0.076248
+0.0780516
+0.0798746
+0.0817156
+0.0835735
+0.0854472
+0.0873036
+0.0891271
+0.0909668
+0.0928217
+0.0946057
+0.0953713
+0.0961806
+0.0970327
+0.0977841
+0.0984938
+0.0990946
+0.0996957
+0.100333
+0.101012
+0.0875195
+0.0855445
+0.0835779
+0.0816226
+0.0796796
+0.0777498
+0.0758342
+0.0739338
+0.0720499
+0.0701838
+0.068337
+0.0665111
+0.0647079
+0.0629292
+0.0611773
+0.0594544
+0.0577633
+0.0561067
+0.0544879
+0.0529091
+0.0513646
+0.0498684
+0.0484251
+0.0470397
+0.0457172
+0.0444634
+0.0432842
+0.0421859
+0.041175
+0.040258
+0.0394269
+0.0386937
+0.0380725
+0.037569
+0.0371879
+0.036933
+0.036807
+0.0368111
+0.0369454
+0.0372084
+0.0375974
+0.0381086
+0.038737
+0.0394336
+0.0389207
+0.0385058
+0.0382
+0.0380018
+0.0379096
+0.0379391
+0.0380948
+0.0383396
+0.0386942
+0.0391358
+0.0396318
+0.0402353
+0.0409311
+0.041727
+0.0426022
+0.0435701
+0.0446219
+0.0457414
+0.0469365
+0.0482015
+0.0495204
+0.050854
+0.0522245
+0.0536495
+0.0551238
+0.0566126
+0.0581459
+0.0597201
+0.0613322
+0.0629775
+0.0646318
+0.0663173
+0.0680315
+0.0697724
+0.071538
+0.0733266
+0.0751364
+0.0769661
+0.0788142
+0.0806794
+0.082541
+0.0843536
+0.0861839
+0.0880305
+0.0898927
+0.0917694
+0.0934642
+0.094239
+0.0950581
+0.0959201
+0.0967185
+0.0974209
+0.0980023
+0.0986207
+0.0992666
+0.0999535
+0.0877898
+0.0858224
+0.083866
+0.0819214
+0.0799881
+0.0780659
+0.0761582
+0.0742662
+0.0723909
+0.0705339
+0.0686965
+0.0668804
+0.0650874
+0.0633194
+0.0615785
+0.0598672
+0.0581881
+0.056544
+0.0549381
+0.0533737
+0.0518548
+0.0503748
+0.048947
+0.0475772
+0.0462706
+0.0450328
+0.0438694
+0.0427867
+0.0417909
+0.0408878
+0.0400699
+0.0393486
+0.0387379
+0.0382431
+0.0378688
+0.0376186
+0.0374949
+0.0374989
+0.0376308
+0.037889
+0.0382711
+0.0387734
+0.0383156
+0.0376604
+0.037118
+0.0366784
+0.0363578
+0.0361453
+0.0360433
+0.0360743
+0.0362229
+0.0364667
+0.0368383
+0.0372533
+0.0377741
+0.0384129
+0.0391545
+0.039966
+0.040879
+0.0418868
+0.0429802
+0.0441414
+0.0453672
+0.0466301
+0.0479538
+0.0493334
+0.0507701
+0.0522242
+0.053704
+0.0552311
+0.0568017
+0.0584122
+0.0600498
+0.0617049
+0.0633924
+0.06511
+0.0668552
+0.0686259
+0.0704203
+0.0722366
+0.0740731
+0.0759284
+0.0777952
+0.0795954
+0.0814147
+0.0832519
+0.0851058
+0.0869754
+0.0888596
+0.0907577
+0.0923584
+0.0931426
+0.0939712
+0.0948433
+0.0956913
+0.096349
+0.0969368
+0.0975703
+0.0982376
+0.0989317
+0.0881139
+0.0861538
+0.0842051
+0.0822686
+0.0803451
+0.0784357
+0.0765413
+0.0746614
+0.0727963
+0.0709499
+0.0691236
+0.067319
+0.065538
+0.0637824
+0.0620546
+0.0603568
+0.0586917
+0.0570621
+0.0554712
+0.0539223
+0.0524192
+0.0509556
+0.0495445
+0.0481918
+0.0469023
+0.0456816
+0.0445352
+0.0434691
+0.0424892
+0.0416018
+0.0408127
+0.0401126
+0.0395137
+0.0390288
+0.0386621
+0.038417
+0.0382959
+0.0382999
+0.038429
+0.0386819
+0.0381653
+0.0373254
+0.0365975
+0.0359293
+0.0353547
+0.0348928
+0.0345435
+0.0343195
+0.034212
+0.0342392
+0.0343743
+0.0346311
+0.0349724
+0.0354062
+0.0359538
+0.0366244
+0.0374008
+0.0382495
+0.0392025
+0.0402523
+0.0413773
+0.0425332
+0.0437683
+0.0450715
+0.0464334
+0.0478569
+0.0493366
+0.0508178
+0.0523375
+0.0539033
+0.0555114
+0.0571402
+0.0587955
+0.0604849
+0.0622056
+0.063955
+0.0657309
+0.0675311
+0.0693538
+0.0711973
+0.0730599
+0.0748552
+0.0766618
+0.078488
+0.0803324
+0.0821938
+0.084071
+0.0859631
+0.0878676
+0.0897813
+0.0912839
+0.0920699
+0.0928981
+0.0937701
+0.0946849
+0.0953103
+0.0959045
+0.0965448
+0.0972302
+0.097912
+0.088491
+0.0865395
+0.0845996
+0.0826724
+0.0807585
+0.0788591
+0.0769751
+0.0751078
+0.0732584
+0.0714283
+0.069617
+0.0678255
+0.0660581
+0.0643168
+0.0626037
+0.0609213
+0.059272
+0.0576588
+0.0560848
+0.0545534
+0.0530682
+0.051623
+0.0502306
+0.0488968
+0.0476265
+0.0464248
+0.0452972
+0.0442495
+0.0432873
+0.0424166
+0.0416429
+0.040972
+0.0403936
+0.0399194
+0.0395609
+0.0393215
+0.0392031
+0.039207
+0.0385493
+0.0374947
+0.0365336
+0.0356812
+0.0349236
+0.0342345
+0.0336415
+0.0331519
+0.0327752
+0.0325317
+0.0324184
+0.0324363
+0.0325682
+0.0328139
+0.033142
+0.0336005
+0.034177
+0.0348819
+0.0356953
+0.0365705
+0.0375434
+0.0386162
+0.0397367
+0.0409392
+0.0422199
+0.0435608
+0.0449684
+0.0464368
+0.0479569
+0.0494686
+0.0510284
+0.0526332
+0.0542514
+0.0559064
+0.0575972
+0.0593208
+0.0610742
+0.0628551
+0.0646612
+0.0664904
+0.0683046
+0.070129
+0.0719285
+0.0737417
+0.075575
+0.0774267
+0.0792958
+0.081181
+0.0830798
+0.0849884
+0.0869102
+0.0888445
+0.0902218
+0.0910141
+0.0918518
+0.0927337
+0.0936586
+0.0942907
+0.094866
+0.0954646
+0.0961095
+0.0967421
+0.0889205
+0.0869786
+0.0850488
+0.0831319
+0.0812289
+0.0793407
+0.0774685
+0.0756133
+0.0737766
+0.0719597
+0.0701641
+0.0683916
+0.0666439
+0.0649208
+0.0632241
+0.0615585
+0.0599268
+0.0583317
+0.0567764
+0.0552641
+0.0537985
+0.0523735
+0.0510017
+0.0496886
+0.048439
+0.047258
+0.0461508
+0.0451228
+0.0441797
+0.0433269
+0.0425698
+0.0419137
+0.0413633
+0.040908
+0.0405583
+0.0403247
+0.0394648
+0.0382211
+0.0370454
+0.0359456
+0.0349419
+0.0340497
+0.0332742
+0.032567
+0.0319731
+0.0314581
+0.0310356
+0.030761
+0.0306266
+0.0306481
+0.0307561
+0.0310109
+0.0313579
+0.0318432
+0.0324509
+0.0331522
+0.0339653
+0.0348822
+0.0359009
+0.0369766
+0.0381403
+0.0393917
+0.0407212
+0.0421098
+0.0435644
+0.0450606
+0.0466021
+0.0481811
+0.0497746
+0.051387
+0.0530409
+0.0547326
+0.0564585
+0.0582158
+0.0600016
+0.0617668
+0.0635524
+0.0653626
+0.0671954
+0.0690168
+0.0708368
+0.0726772
+0.0745366
+0.0764136
+0.0783058
+0.0802083
+0.0821251
+0.0840554
+0.0859981
+0.0879524
+0.0891902
+0.0899916
+0.0908388
+0.0917305
+0.092643
+0.093153
+0.0937113
+0.0943173
+0.0949699
+0.0956063
+0.0894016
+0.0874704
+0.0855517
+0.0836463
+0.0817553
+0.0798795
+0.0780202
+0.0761785
+0.0743558
+0.0725533
+0.0707728
+0.0690159
+0.0672845
+0.0655805
+0.0639062
+0.062264
+0.0606537
+0.0590783
+0.0575431
+0.0560515
+0.0546071
+0.0532037
+0.0518539
+0.0505629
+0.0493355
+0.0481764
+0.0470908
+0.0460839
+0.0451608
+0.0443268
+0.0435872
+0.0429466
+0.0424096
+0.0419803
+0.0408644
+0.0394496
+0.0381057
+0.0368052
+0.0355859
+0.0344628
+0.0334181
+0.0324783
+0.0316388
+0.0309061
+0.0302797
+0.0297683
+0.0293187
+0.029028
+0.0288864
+0.0288708
+0.0289792
+0.029245
+0.0296097
+0.0301035
+0.0307099
+0.0314337
+0.0322901
+0.0332526
+0.0342743
+0.0353913
+0.0366055
+0.0379076
+0.0392874
+0.0407179
+0.042193
+0.0437258
+0.0453127
+0.0469437
+0.0485513
+0.0502031
+0.0518948
+0.0536183
+0.055324
+0.0570588
+0.0588241
+0.0606172
+0.0624356
+0.0642773
+0.066122
+0.0679489
+0.0697967
+0.0716639
+0.0735482
+0.0754434
+0.0773542
+0.0792796
+0.0812183
+0.0831696
+0.0851169
+0.0870686
+0.0881982
+0.0890085
+0.089865
+0.0907663
+0.0915106
+0.0920268
+0.0925919
+0.0932052
+0.0938655
+0.0945025
+0.0899279
+0.088014
+0.0861074
+0.0842146
+0.0823366
+0.0804744
+0.0786292
+0.0768021
+0.0749945
+0.0732078
+0.0714436
+0.0697036
+0.0679897
+0.0663038
+0.0646483
+0.0630254
+0.0614377
+0.0598881
+0.0583796
+0.0569124
+0.0554904
+0.0541099
+0.0527833
+0.0515156
+0.0503114
+0.0491754
+0.0481123
+0.0471272
+0.046225
+0.0454106
+0.0446888
+0.0440643
+0.0427505
+0.0411728
+0.0396483
+0.0381886
+0.0368014
+0.035453
+0.0341854
+0.0330147
+0.0319311
+0.0309526
+0.0300738
+0.0293146
+0.0286535
+0.02813
+0.0276689
+0.0273581
+0.0271688
+0.0271048
+0.0272175
+0.0274572
+0.0278171
+0.0283407
+0.0290061
+0.0297772
+0.0306799
+0.0316446
+0.0327048
+0.0338737
+0.0351404
+0.0364934
+0.0379027
+0.0393604
+0.040882
+0.0424621
+0.0440524
+0.0456513
+0.0472977
+0.0489866
+0.0506779
+0.0523858
+0.0541262
+0.0558982
+0.057699
+0.059526
+0.0613768
+0.0632464
+0.0650803
+0.0669357
+0.0688103
+0.0706968
+0.0726004
+0.0745197
+0.0764536
+0.0783763
+0.0803124
+0.0822614
+0.0842222
+0.0861941
+0.0872499
+0.088069
+0.0889345
+0.0898238
+0.090417
+0.0909394
+0.0915113
+0.0921317
+0.0927997
+0.0934173
+0.0903793
+0.0884973
+0.0866297
+0.0847776
+0.0829421
+0.0811241
+0.079294
+0.0774826
+0.0756912
+0.0739214
+0.0721746
+0.0704527
+0.0687574
+0.0670909
+0.0654552
+0.0638528
+0.0622863
+0.0607583
+0.059272
+0.0578305
+0.0564371
+0.0550884
+0.0537859
+0.0525424
+0.0513623
+0.05025
+0.0492102
+0.0482475
+0.0473666
+0.0465722
+0.0450611
+0.0433541
+0.0416905
+0.0400661
+0.0384977
+0.0369927
+0.035559
+0.0341776
+0.0328583
+0.0316358
+0.0305196
+0.0294954
+0.028571
+0.0277852
+0.0270669
+0.0264959
+0.0260206
+0.0256561
+0.0254589
+0.0253937
+0.0254732
+0.0257013
+0.0260854
+0.0266372
+0.0273441
+0.0281937
+0.0290871
+0.0300975
+0.0312103
+0.032433
+0.0337525
+0.0351352
+0.0365708
+0.0380778
+0.0396277
+0.0411654
+0.04276
+0.0444054
+0.0460836
+0.0477574
+0.0494671
+0.051213
+0.0529919
+0.0548007
+0.0566364
+0.0584965
+0.0603789
+0.0622338
+0.0640966
+0.0659724
+0.067867
+0.0697705
+0.0716713
+0.0735882
+0.07552
+0.0774656
+0.079424
+0.0813942
+0.0833754
+0.0853668
+0.0863359
+0.0871729
+0.0880059
+0.0888842
+0.0893638
+0.0898923
+0.0904708
+0.0910983
+0.0917728
+0.0923714
+0.0908579
+0.088986
+0.0871289
+0.085287
+0.0834595
+0.0816498
+0.0798592
+0.0780889
+0.0763405
+0.0746155
+0.0729155
+0.0712423
+0.0695857
+0.0679395
+0.0663248
+0.0647439
+0.0631995
+0.0616941
+0.0602309
+0.0588128
+0.0574434
+0.056126
+0.0548498
+0.053631
+0.0524753
+0.0513872
+0.0503708
+0.0494307
+0.0477504
+0.0459421
+0.0441606
+0.0424174
+0.0407153
+0.0390503
+0.0374395
+0.0358901
+0.0343879
+0.0329596
+0.0316118
+0.0303392
+0.0291738
+0.0280966
+0.0271221
+0.0262944
+0.0255491
+0.0249396
+0.0244001
+0.0240089
+0.0237923
+0.0237249
+0.0237787
+0.0240131
+0.0244238
+0.0250097
+0.0257613
+0.0266324
+0.0275708
+0.0286345
+0.0298019
+0.0310787
+0.0324268
+0.0338306
+0.0353111
+0.0367848
+0.0383113
+0.0398997
+0.0415429
+0.0431858
+0.0448592
+0.0465717
+0.0483228
+0.0501086
+0.0519253
+0.05377
+0.0556397
+0.0575321
+0.0593787
+0.0612405
+0.0631235
+0.0650129
+0.0669054
+0.0688156
+0.0707421
+0.0726835
+0.0746388
+0.0766068
+0.0785865
+0.0805772
+0.0825562
+0.0845045
+0.0854361
+0.0862609
+0.0871018
+0.0878692
+0.0883523
+0.0888869
+0.0894719
+0.0901063
+0.0907836
+0.0913622
+0.0913692
+0.089508
+0.087662
+0.0858323
+0.0840198
+0.0822257
+0.0804485
+0.0786916
+0.0769569
+0.075246
+0.0735605
+0.0719023
+0.0702732
+0.0686754
+0.0671111
+0.0655827
+0.0640927
+0.0626438
+0.0612391
+0.0598593
+0.0585143
+0.0572216
+0.0559729
+0.0547791
+0.0536482
+0.0525843
+0.0507547
+0.0488756
+0.0470112
+0.0451656
+0.0433522
+0.0415732
+0.039819
+0.0381101
+0.0364527
+0.0348543
+0.033316
+0.0318396
+0.0304494
+0.0291292
+0.0279125
+0.0267845
+0.0257601
+0.0248867
+0.0241249
+0.0234459
+0.0228637
+0.0224457
+0.0222169
+0.0221134
+0.0221713
+0.0224092
+0.0228487
+0.0234741
+0.0242733
+0.0251589
+0.0261502
+0.0272691
+0.0284829
+0.0297463
+0.0311128
+0.0325522
+0.0339865
+0.0354981
+0.0370776
+0.0386943
+0.0403178
+0.0419888
+0.043704
+0.0454601
+0.0472524
+0.0490771
+0.0509307
+0.0528101
+0.0546601
+0.0565076
+0.0583788
+0.0602716
+0.0621603
+0.0640621
+0.0659819
+0.0679181
+0.0698693
+0.0718343
+0.0738121
+0.0757988
+0.0777724
+0.079736
+0.0816879
+0.0836477
+0.0845813
+0.0853901
+0.0862394
+0.0868912
+0.0873798
+0.0879202
+0.0885116
+0.0891529
+0.0898168
+0.0903907
+0.0916606
+0.0900772
+0.0882431
+0.0864257
+0.0846259
+0.082845
+0.0810841
+0.0793447
+0.0776281
+0.0759344
+0.0742646
+0.0726224
+0.0710099
+0.0694291
+0.0678821
+0.0663714
+0.0648995
+0.0634691
+0.0620831
+0.0607444
+0.0594564
+0.0582223
+0.0570454
+0.0559026
+0.0539585
+0.0520176
+0.0500958
+0.0481969
+0.0463238
+0.0444726
+0.0426127
+0.0407857
+0.0389961
+0.0372494
+0.035552
+0.0339111
+0.0323354
+0.030826
+0.0293865
+0.0280203
+0.0267485
+0.0255616
+0.0244864
+0.0235646
+0.0227593
+0.0220391
+0.0214118
+0.0209678
+0.0206914
+0.0205723
+0.0206342
+0.0209083
+0.0213787
+0.0220426
+0.0228165
+0.0237429
+0.0248282
+0.0259368
+0.0271502
+0.0284728
+0.0298357
+0.0312448
+0.0327364
+0.0343032
+0.0358686
+0.037486
+0.0391533
+0.04087
+0.0426302
+0.0444287
+0.0462611
+0.0481234
+0.0499762
+0.0518054
+0.0536617
+0.0555425
+0.0574408
+0.0593322
+0.0612435
+0.063173
+0.065119
+0.0670801
+0.069055
+0.0710328
+0.0730038
+0.0749788
+0.0769305
+0.0788867
+0.080855
+0.0828321
+0.0837571
+0.0845661
+0.0854236
+0.0859575
+0.0864513
+0.0869975
+0.0875952
+0.0882431
+0.0888824
+0.0894521
+0.0907572
+0.0898462
+0.0888745
+0.0870702
+0.0852841
+0.0835172
+0.0817708
+0.0800463
+0.078345
+0.0766686
+0.0750188
+0.0733972
+0.0718059
+0.070243
+0.0687143
+0.0672223
+0.0657695
+0.0643584
+0.0629919
+0.061673
+0.0604044
+0.0591848
+0.0573849
+0.0554062
+0.0534281
+0.0514657
+0.0495224
+0.0476007
+0.0457031
+0.0438329
+0.0419593
+0.0401025
+0.038281
+0.0365002
+0.0347661
+0.0330845
+0.0314532
+0.0298868
+0.0284004
+0.0269805
+0.0256571
+0.0244426
+0.0233196
+0.0223515
+0.0214758
+0.0206988
+0.0200428
+0.0195411
+0.019246
+0.0191107
+0.0192004
+0.0194851
+0.0199617
+0.0206083
+0.0214061
+0.0223906
+0.0235221
+0.0246612
+0.0258935
+0.0271805
+0.0285717
+0.0300404
+0.0315528
+0.0330917
+0.0346973
+0.0363605
+0.0380772
+0.0398403
+0.0416441
+0.0434834
+0.0453376
+0.0471433
+0.0489803
+0.0508454
+0.0527356
+0.054632
+0.0565325
+0.0584532
+0.0603924
+0.0623482
+0.0643192
+0.0662861
+0.0682523
+0.0702273
+0.072192
+0.0741437
+0.0761085
+0.0780853
+0.0800665
+0.0820473
+0.0829345
+0.0837514
+0.0846172
+0.0850699
+0.0855689
+0.0861207
+0.0867244
+0.0873788
+0.0879823
+0.0885576
+0.0898728
+0.0889784
+0.0881035
+0.0872715
+0.085993
+0.084241
+0.0825099
+0.0808011
+0.0791162
+0.0774565
+0.0758237
+0.0742198
+0.0726464
+0.0711058
+0.0696
+0.0681314
+0.0667001
+0.0653088
+0.0639578
+0.0626542
+0.0610056
+0.0589854
+0.0569778
+0.0549752
+0.0529795
+0.0509999
+0.0490381
+0.0470966
+0.0451779
+0.043285
+0.0413747
+0.0394887
+0.0376357
+0.0358209
+0.0340503
+0.0323295
+0.0306583
+0.029049
+0.0275175
+0.0260621
+0.0247057
+0.0234283
+0.0222799
+0.0211849
+0.0202602
+0.019444
+0.0187631
+0.0182074
+0.0178653
+0.0176985
+0.0177707
+0.0180596
+0.0185727
+0.0192666
+0.0201176
+0.021142
+0.0223236
+0.023407
+0.0246289
+0.0259721
+0.0274248
+0.0288597
+0.030377
+0.0319658
+0.0336214
+0.0353352
+0.0370993
+0.0388964
+0.0407253
+0.0425343
+0.0443458
+0.0461903
+0.0480638
+0.0499631
+0.0518561
+0.0537654
+0.0556955
+0.0576442
+0.0596096
+0.0615633
+0.0635219
+0.0654933
+0.0674733
+0.0694223
+0.0713826
+0.0733559
+0.0753412
+0.0773261
+0.0793142
+0.0812982
+0.0821255
+0.0829504
+0.0837804
+0.08423
+0.0847339
+0.0852912
+0.0859006
+0.0865613
+0.0871278
+0.0877088
+0.0889445
+0.0880639
+0.0872295
+0.0864333
+0.0856409
+0.0848976
+0.0832958
+0.0816027
+0.0799336
+0.0782904
+0.0766745
+0.0750877
+0.073532
+0.0720093
+0.0705218
+0.0690677
+0.067653
+0.0662805
+0.0647812
+0.0627179
+0.0606635
+0.058619
+0.0565854
+0.054564
+0.0525562
+0.0505636
+0.0485866
+0.0466263
+0.0446874
+0.0427728
+0.0408685
+0.038958
+0.0370785
+0.035235
+0.0334334
+0.0316808
+0.029986
+0.0283559
+0.026785
+0.0252736
+0.0238291
+0.0224861
+0.0212664
+0.0201323
+0.019119
+0.0182508
+0.0175294
+0.0169612
+0.0166014
+0.0164226
+0.0164904
+0.0167826
+0.0172986
+0.0180283
+0.0189673
+0.0200291
+0.021083
+0.0222168
+0.0234938
+0.0248735
+0.026256
+0.0277403
+0.0293072
+0.03095
+0.0326418
+0.0343848
+0.0361765
+0.0379978
+0.0397747
+0.0415911
+0.043442
+0.0453196
+0.047208
+0.0491129
+0.0510365
+0.0529754
+0.0549318
+0.0568691
+0.0588189
+0.060785
+0.0627653
+0.0647273
+0.0666816
+0.0686502
+0.0706319
+0.0726256
+0.0746137
+0.0765999
+0.0785703
+0.080552
+0.0813675
+0.0822
+0.0829853
+0.0834392
+0.0839479
+0.0845103
+0.0851253
+0.0857861
+0.0863205
+0.0869069
+0.0880521
+0.0871625
+0.0863193
+0.0855239
+0.0847778
+0.084082
+0.0833933
+0.082426
+0.0807736
+0.0791439
+0.0775419
+0.0759694
+0.074428
+0.0729199
+0.0714472
+0.070012
+0.0686168
+0.0665847
+0.0645047
+0.0624322
+0.0603681
+0.0583133
+0.0562687
+0.0542355
+0.052215
+0.0502088
+0.0482173
+0.0462413
+0.0442856
+0.0423528
+0.0404464
+0.0385447
+0.036644
+0.0347752
+0.0329447
+0.0311471
+0.0293995
+0.027715
+0.0260864
+0.0245144
+0.0230175
+0.0216247
+0.020325
+0.0191601
+0.0180905
+0.0171919
+0.0164782
+0.0158693
+0.015449
+0.0152795
+0.0153273
+0.0156002
+0.0161476
+0.0169126
+0.0178455
+0.0188947
+0.0199947
+0.0211655
+0.0224349
+0.0237574
+0.0251896
+0.0267094
+0.0283172
+0.0299949
+0.031732
+0.0335223
+0.0352896
+0.0370669
+0.0388831
+0.0407164
+0.0425836
+0.0444802
+0.0463936
+0.0483269
+0.0502812
+0.0522105
+0.0541507
+0.0561092
+0.0580844
+0.0600647
+0.0620112
+0.0639735
+0.0659502
+0.06794
+0.0699397
+0.0719237
+0.0738888
+0.0758663
+0.0778552
+0.0798547
+0.080658
+0.0814978
+0.0822408
+0.0826989
+0.083212
+0.0837794
+0.0843998
+0.0850226
+0.0855617
+0.0861532
+0.0872037
+0.0863054
+0.0854538
+0.0846503
+0.0838963
+0.0831932
+0.0825423
+0.0819448
+0.0813789
+0.0800293
+0.0784454
+0.0768913
+0.0753689
+0.07388
+0.0724268
+0.0705724
+0.0684809
+0.066388
+0.0643016
+0.0622224
+0.0601511
+0.0580886
+0.0560358
+0.0539938
+0.051964
+0.0499477
+0.0479454
+0.0459577
+0.0439893
+0.042043
+0.0401218
+0.0381995
+0.0362817
+0.0343962
+0.0325431
+0.030719
+0.0289455
+0.0272026
+0.0255242
+0.023894
+0.0223408
+0.0208784
+0.0195291
+0.0183216
+0.0172452
+0.0162754
+0.015484
+0.0148323
+0.0144146
+0.0142328
+0.0142752
+0.0145678
+0.0151177
+0.0158892
+0.0168482
+0.0178291
+0.0189276
+0.0200765
+0.0213203
+0.0226927
+0.0241709
+0.0257509
+0.027415
+0.0291488
+0.0308968
+0.0326192
+0.0343948
+0.0361908
+0.0380278
+0.0399005
+0.0418041
+0.0437247
+0.0456659
+0.0476
+0.0495269
+0.0514749
+0.0534417
+0.0554204
+0.0573789
+0.0593326
+0.0613024
+0.0632867
+0.0652841
+0.0672791
+0.0692374
+0.0712093
+0.0731936
+0.0751894
+0.0771957
+0.0792033
+0.0799984
+0.080845
+0.0815485
+0.0820104
+0.0825278
+0.0830998
+0.0837253
+0.084309
+0.0848527
+0.0854491
+0.0864026
+0.0854959
+0.0846361
+0.0838248
+0.0830633
+0.0823531
+0.0816955
+0.0810917
+0.0805431
+0.080046
+0.0793991
+0.077864
+0.0763609
+0.0746606
+0.0725552
+0.0704551
+0.0683599
+0.0662632
+0.0641728
+0.0620893
+0.0600134
+0.0579459
+0.0558879
+0.0538403
+0.0518045
+0.0497817
+0.0477724
+0.0457773
+0.0438008
+0.0418334
+0.0398822
+0.0379517
+0.0360272
+0.034128
+0.0322657
+0.0304219
+0.0285972
+0.0268274
+0.0250989
+0.0234266
+0.02184
+0.0203416
+0.0189543
+0.0176965
+0.0165222
+0.0155083
+0.0146562
+0.013991
+0.0135127
+0.0133099
+0.0133682
+0.0136359
+0.0142165
+0.014958
+0.015885
+0.0168867
+0.0179021
+0.0190363
+0.0203438
+0.0217778
+0.0233141
+0.0249484
+0.0266511
+0.0282928
+0.0300047
+0.0317749
+0.0335687
+0.0354061
+0.0372818
+0.0391901
+0.0411161
+0.0430529
+0.0449614
+0.0468944
+0.0488442
+0.0508121
+0.0527946
+0.0547366
+0.0566968
+0.0586732
+0.0606644
+0.0626689
+0.0646226
+0.0665869
+0.068565
+0.0705557
+0.0725579
+0.0745707
+0.0765932
+0.0785925
+0.0793937
+0.0802467
+0.0809095
+0.081375
+0.0818965
+0.0824729
+0.0831031
+0.0836468
+0.0841947
+0.0847958
+0.0856501
+0.0847353
+0.0838677
+0.0830489
+0.0822802
+0.0815632
+0.0808992
+0.0802894
+0.0797352
+0.0792377
+0.0787934
+0.0784006
+0.0767254
+0.074614
+0.0725073
+0.0704047
+0.0683009
+0.0662028
+0.0641108
+0.0620257
+0.0599481
+0.0578788
+0.0558188
+0.0537691
+0.051731
+0.0496932
+0.047661
+0.0456436
+0.0436428
+0.0416612
+0.0397015
+0.0377612
+0.035829
+0.0339262
+0.0320461
+0.0302076
+0.0283533
+0.0265339
+0.0247746
+0.0230893
+0.0214954
+0.0199609
+0.0184912
+0.0171615
+0.0159472
+0.0148891
+0.0139901
+0.0132885
+0.0127843
+0.0125422
+0.0126081
+0.0128801
+0.0134088
+0.0142058
+0.0151232
+0.0160052
+0.0170117
+0.0182014
+0.0195648
+0.021052
+0.0226376
+0.0241856
+0.0257982
+0.0274879
+0.0292378
+0.0310344
+0.0328675
+0.0347421
+0.0366517
+0.0385706
+0.0404738
+0.0423802
+0.0443102
+0.0462634
+0.048237
+0.0501979
+0.0521446
+0.0541099
+0.056092
+0.058089
+0.0600527
+0.062007
+0.0639767
+0.0659603
+0.0679566
+0.0699646
+0.0719832
+0.0740117
+0.0760489
+0.0780385
+0.0788453
+0.0797041
+0.0803252
+0.0807941
+0.0813193
+0.0818998
+0.0825343
+0.083037
+0.083589
+0.0841941
+0.0849474
+0.0840249
+0.0831499
+0.0823239
+0.0815485
+0.080825
+0.0801548
+0.0795394
+0.0789799
+0.0784776
+0.0780336
+0.0776442
+0.0767403
+0.0746256
+0.0725154
+0.0704101
+0.0683067
+0.0662088
+0.064117
+0.0620321
+0.0599547
+0.0578814
+0.0558153
+0.0537503
+0.051692
+0.0496451
+0.0476109
+0.0455912
+0.0435881
+0.0416038
+0.0396413
+0.0376813
+0.0357434
+0.0338364
+0.0319657
+0.030113
+0.0282371
+0.0264097
+0.0246416
+0.0229465
+0.021293
+0.0196999
+0.0182092
+0.0168413
+0.0155806
+0.0144922
+0.0135902
+0.012835
+0.0122782
+0.0119881
+0.0119579
+0.0122353
+0.0128002
+0.0135766
+0.0144073
+0.0152356
+0.016318
+0.0175778
+0.018986
+0.0204304
+0.0218817
+0.0234415
+0.0250913
+0.0268187
+0.0286074
+0.0304327
+0.0322993
+0.0341858
+0.0360635
+0.0379592
+0.0398624
+0.0417938
+0.0437497
+0.0457269
+0.0476611
+0.0496106
+0.0515795
+0.0535608
+0.0555261
+0.0574797
+0.0594379
+0.0614118
+0.0634
+0.0654011
+0.0674139
+0.0694351
+0.0714652
+0.0735046
+0.0755524
+0.0775423
+0.0783543
+0.0791361
+0.0797969
+0.0802688
+0.0807974
+0.0813816
+0.0819801
+0.082481
+0.0830364
+0.0836347
+0.0842956
+0.0833661
+0.0824841
+0.0816514
+0.0808695
+0.0801398
+0.0794639
+0.0788431
+0.0782786
+0.0777718
+0.0773238
+0.0769355
+0.0765962
+0.0746827
+0.0725742
+0.0704707
+0.0683719
+0.0662728
+0.0641799
+0.062093
+0.0600119
+0.0579377
+0.0558619
+0.0537952
+0.0517386
+0.0496936
+0.0476615
+0.045644
+0.0436433
+0.0416617
+0.0396818
+0.0377195
+0.0357823
+0.0338488
+0.0319485
+0.0300878
+0.0282681
+0.0264424
+0.0246459
+0.0229088
+0.0212557
+0.0196566
+0.0181369
+0.0167083
+0.0154372
+0.0143237
+0.0133556
+0.0125722
+0.0119508
+0.0116189
+0.0115027
+0.0117478
+0.0122559
+0.0130485
+0.0138295
+0.0146904
+0.0158098
+0.0171009
+0.0184243
+0.0197804
+0.0212671
+0.0228595
+0.0245364
+0.026289
+0.0281031
+0.0299466
+0.031784
+0.0336548
+0.0355335
+0.0374318
+0.0393606
+0.041309
+0.0432678
+0.0451944
+0.0471441
+0.0490967
+0.0510458
+0.0530137
+0.0549609
+0.0569214
+0.0588982
+0.0608875
+0.0628884
+0.0649015
+0.0669257
+0.0689602
+0.0710039
+0.0730561
+0.0751149
+0.0771053
+0.0778509
+0.0785106
+0.0792229
+0.0798002
+0.0803319
+0.0809195
+0.0814758
+0.0819794
+0.0825273
+0.0831292
+0.0836741
+0.0827487
+0.0818714
+0.0810325
+0.0802445
+0.0795092
+0.0788278
+0.0782019
+0.0776328
+0.0771218
+0.07667
+0.0762784
+0.0759361
+0.074804
+0.0726983
+0.0705919
+0.0684908
+0.0663955
+0.0643065
+0.0622239
+0.0601414
+0.058062
+0.0559908
+0.053929
+0.0518778
+0.0498385
+0.0478125
+0.0457917
+0.0437835
+0.0417937
+0.0398201
+0.0378393
+0.0358829
+0.0339552
+0.0320612
+0.0302074
+0.0284016
+0.0265822
+0.0247873
+0.0230526
+0.0213481
+0.0197398
+0.0182531
+0.0168369
+0.0155663
+0.0143702
+0.0133042
+0.0124727
+0.0117893
+0.0114054
+0.0112729
+0.0114801
+0.0119186
+0.0125518
+0.0134174
+0.0143977
+0.0155386
+0.0167362
+0.017953
+0.0193235
+0.0208249
+0.0224401
+0.0241461
+0.0259251
+0.0276865
+0.0295021
+0.0313656
+0.0332072
+0.035076
+0.0369801
+0.0389143
+0.0408745
+0.0428098
+0.0447235
+0.0466496
+0.0485981
+0.0505621
+0.0525025
+0.054459
+0.0564326
+0.0584218
+0.0604248
+0.0624405
+0.0644676
+0.0665051
+0.068552
+0.0705952
+0.0726388
+0.0746907
+0.0766546
+0.0772599
+0.077922
+0.0786397
+0.0793893
+0.0799238
+0.0805143
+0.0810272
+0.0815226
+0.0820735
+0.0826787
+0.0831057
+0.0821738
+0.0812904
+0.0804568
+0.0796749
+0.0789343
+0.0782479
+0.0776174
+0.077044
+0.076529
+0.0760736
+0.075679
+0.075334
+0.0749822
+0.072876
+0.0707749
+0.0686794
+0.06659
+0.0645006
+0.0624171
+0.0603407
+0.0582685
+0.0562022
+0.0541371
+0.0520821
+0.0500387
+0.0480083
+0.0459926
+0.0439936
+0.0420138
+0.0400306
+0.0380608
+0.0361164
+0.0342018
+0.0323223
+0.0304843
+0.0286531
+0.0268524
+0.0250914
+0.0233302
+0.0216476
+0.0200633
+0.0185444
+0.017098
+0.0156841
+0.0144215
+0.0133752
+0.0125334
+0.0118141
+0.0114087
+0.0112289
+0.0113562
+0.0117556
+0.0123811
+0.0132422
+0.014266
+0.0153343
+0.0164371
+0.0176745
+0.0190637
+0.0205772
+0.022204
+0.0238872
+0.0256024
+0.0273809
+0.0291581
+0.0309613
+0.0328117
+0.0347018
+0.0366253
+0.038536
+0.0404577
+0.0423638
+0.0442842
+0.0462286
+0.048169
+0.0501031
+0.0520575
+0.0540301
+0.0560188
+0.0580221
+0.0600386
+0.0620668
+0.0641028
+0.0661293
+0.068166
+0.0702119
+0.0722488
+0.0742709
+0.0760703
+0.0766802
+0.0773474
+0.0780703
+0.0788475
+0.0795738
+0.0801669
+0.0806245
+0.0811224
+0.0816759
+0.0822841
+0.0825915
+0.0816538
+0.0807646
+0.0799256
+0.0791384
+0.0784045
+0.0777254
+0.0770906
+0.0765133
+0.0759947
+0.0755361
+0.0751387
+0.0747912
+0.0745062
+0.0731189
+0.071025
+0.0689319
+0.0668429
+0.0647585
+0.0626729
+0.060591
+0.0585167
+0.0564512
+0.0543954
+0.0523506
+0.0503181
+0.0482995
+0.0462965
+0.0443112
+0.0423183
+0.0403413
+0.0383874
+0.0364605
+0.034565
+0.0327016
+0.0308408
+0.0290106
+0.0272177
+0.025438
+0.0237051
+0.0220206
+0.0204002
+0.0188148
+0.0173112
+0.0159137
+0.0146606
+0.0135513
+0.012693
+0.012
+0.0115788
+0.0113881
+0.0114828
+0.0118352
+0.0124881
+0.0132424
+0.0141284
+0.0151825
+0.0163865
+0.0176275
+0.0190069
+0.0205031
+0.0220795
+0.023718
+0.0253971
+0.0271086
+0.0288736
+0.0306935
+0.0325591
+0.0344153
+0.0362908
+0.0381999
+0.0401048
+0.0420141
+0.0439369
+0.0458497
+0.0477841
+0.0497332
+0.0517016
+0.0536872
+0.0556882
+0.057703
+0.0597141
+0.0617292
+0.0637559
+0.0657931
+0.0678398
+0.0698539
+0.0718766
+0.0739089
+0.0755451
+0.0761592
+0.0768309
+0.0775587
+0.0783409
+0.0791761
+0.0798367
+0.0802796
+0.0807796
+0.0813355
+0.0819462
+0.0821325
+0.0811895
+0.0802952
+0.0794512
+0.0786592
+0.0779208
+0.0772375
+0.0766084
+0.0760348
+0.0755202
+0.0750588
+0.0746587
+0.074309
+0.0740221
+0.0734174
+0.0713163
+0.0692207
+0.0671312
+0.0650484
+0.0629725
+0.0609008
+0.0588374
+0.0567836
+0.0547403
+0.0527089
+0.0506908
+0.0486876
+0.0466948
+0.0446966
+0.0427173
+0.0407596
+0.0388268
+0.0369156
+0.035033
+0.0331739
+0.0313268
+0.0294747
+0.0276379
+0.0258386
+0.0241041
+0.0224102
+0.0207258
+0.01914
+0.0176363
+0.0162298
+0.0149625
+0.0138677
+0.0130257
+0.0123
+0.0118547
+0.0116626
+0.0116222
+0.0119152
+0.0124583
+0.0132322
+0.0141628
+0.0152001
+0.0163363
+0.0176078
+0.0190231
+0.0205324
+0.0220406
+0.023604
+0.0252607
+0.0269808
+0.0287536
+0.0305195
+0.0323293
+0.0341792
+0.0360503
+0.0379161
+0.039815
+0.041725
+0.0436248
+0.0455508
+0.0474972
+0.0494576
+0.0514365
+0.0534216
+0.0554087
+0.0574085
+0.0594209
+0.0614455
+0.063481
+0.0655055
+0.0675163
+0.069538
+0.0715696
+0.073573
+0.0750802
+0.075698
+0.0763738
+0.0771059
+0.0778927
+0.0787326
+0.0795487
+0.0799932
+0.080495
+0.0810528
+0.0816656
+0.0817297
+0.0807819
+0.0798831
+0.0790347
+0.0782385
+0.0774961
+0.076809
+0.0761764
+0.0755995
+0.0750821
+0.0746255
+0.0742308
+0.0738887
+0.0736002
+0.073376
+0.0716467
+0.0695611
+0.0674822
+0.0654105
+0.0633464
+0.0612874
+0.0592375
+0.057198
+0.0551701
+0.0531551
+0.0511546
+0.0491543
+0.0471586
+0.0451809
+0.0432238
+0.0412809
+0.0393633
+0.0374757
+0.0355986
+0.0337249
+0.0318397
+0.0299725
+0.0281519
+0.0263241
+0.0245478
+0.0228322
+0.0211802
+0.0196202
+0.0181308
+0.0167305
+0.015498
+0.0143884
+0.013507
+0.0127429
+0.0121946
+0.0119156
+0.0118247
+0.0120766
+0.0126307
+0.0133731
+0.0143418
+0.0153428
+0.0164096
+0.0176847
+0.0190708
+0.0205404
+0.022091
+0.023651
+0.0253047
+0.0269473
+0.0286479
+0.0304113
+0.0321998
+0.0340067
+0.0358553
+0.0377308
+0.0396321
+0.0415121
+0.0434212
+0.0453558
+0.0472859
+0.0492372
+0.0511959
+0.0531726
+0.0551654
+0.0571728
+0.0591931
+0.0612252
+0.0632336
+0.0652405
+0.0672576
+0.0692717
+0.0712549
+0.0732499
+0.0746766
+0.0752978
+0.0759771
+0.076713
+0.0775038
+0.0783479
+0.0792436
+0.0797616
+0.0802648
+0.0808242
+0.0814388
+0.0813748
+0.0804284
+0.0795255
+0.0786733
+0.0778734
+0.0771275
+0.0764371
+0.0758037
+0.0752255
+0.0747055
+0.0742466
+0.0738498
+0.0735162
+0.0732413
+0.073016
+0.0720422
+0.0699684
+0.067902
+0.0658436
+0.0637935
+0.0617494
+0.0597153
+0.0576927
+0.0556828
+0.0536871
+0.0516826
+0.0496918
+0.0477169
+0.0457544
+0.0438135
+0.0418973
+0.0399669
+0.0380594
+0.0361763
+0.0342596
+0.0323593
+0.030498
+0.0286696
+0.0268698
+0.0251247
+0.0234294
+0.0218121
+0.0202565
+0.01879
+0.0174253
+0.0161911
+0.0151228
+0.0141627
+0.0132974
+0.0126174
+0.0122376
+0.0121576
+0.0124263
+0.0129463
+0.0136898
+0.0146006
+0.0155527
+0.0166248
+0.0178549
+0.0192293
+0.0206823
+0.0222299
+0.0237755
+0.0253521
+0.0270029
+0.0286695
+0.0303705
+0.032131
+0.0339416
+0.0357854
+0.0376217
+0.0394864
+0.041383
+0.0432724
+0.0451846
+0.0471145
+0.0490601
+0.0510254
+0.0530085
+0.0550073
+0.0570202
+0.0590376
+0.0610238
+0.0630235
+0.0650356
+0.0670196
+0.068998
+0.0709889
+0.0729911
+0.0743355
+0.0749595
+0.0756418
+0.0763809
+0.0771751
+0.0780228
+0.0789222
+0.0795824
+0.0800867
+0.0806474
+0.0812632
+0.0810637
+0.0801291
+0.0792229
+0.0783674
+0.0775643
+0.0768154
+0.0761221
+0.0754861
+0.0749088
+0.0743914
+0.0739307
+0.0735322
+0.0731972
+0.0729264
+0.0727203
+0.0725019
+0.0704416
+0.0683894
+0.0663461
+0.0643121
+0.062285
+0.060269
+0.0582656
+0.0562693
+0.0542699
+0.0522823
+0.0503071
+0.0483505
+0.0463815
+0.0444147
+0.0424698
+0.04055
+0.0386466
+0.036722
+0.0348185
+0.0329505
+0.0311246
+0.0293206
+0.0275426
+0.0258207
+0.0241665
+0.022565
+0.0210567
+0.0196188
+0.0182794
+0.0171001
+0.0159059
+0.0148267
+0.0139251
+0.0132714
+0.0128868
+0.0128109
+0.0130249
+0.0135281
+0.0142024
+0.0149885
+0.0159071
+0.0169014
+0.0180979
+0.0194021
+0.020833
+0.022307
+0.0238683
+0.0254706
+0.0271069
+0.0287336
+0.0304311
+0.0321883
+0.0339533
+0.0357539
+0.0375917
+0.0394413
+0.0412965
+0.0431831
+0.0450952
+0.0470225
+0.0489719
+0.0509409
+0.0529274
+0.0549293
+0.0569163
+0.0588925
+0.0608835
+0.0628808
+0.0648375
+0.0668086
+0.0687931
+0.0707897
+0.0727585
+0.0740576
+0.0746839
+0.0753687
+0.0761105
+0.0769075
+0.0777581
+0.0786605
+0.0794632
+0.0799682
+0.0805297
+0.0811465
+0.0808109
+0.0798796
+0.0789798
+0.0781216
+0.077316
+0.0765647
+0.0758691
+0.075231
+0.0746517
+0.0741326
+0.0736751
+0.0732788
+0.0729425
+0.0726708
+0.0724644
+0.0723237
+0.0709792
+0.0689431
+0.0669167
+0.0649005
+0.0628924
+0.0608828
+0.058877
+0.0568849
+0.0549078
+0.0529127
+0.0509154
+0.0489347
+0.0469726
+0.0450316
+0.0430953
+0.0411673
+0.0392652
+0.0373724
+0.0355039
+0.0336741
+0.0318664
+0.030073
+0.0283355
+0.0266649
+0.0250327
+0.0234802
+0.0220117
+0.0206001
+0.0193131
+0.0179223
+0.0166707
+0.0156068
+0.0147521
+0.0140972
+0.0136968
+0.0135672
+0.0137414
+0.0141292
+0.0147707
+0.0155952
+0.0163905
+0.0173608
+0.0185026
+0.0197354
+0.0211027
+0.0225642
+0.0240586
+0.0256509
+0.027325
+0.0289575
+0.0306259
+0.032315
+0.0340613
+0.0358437
+0.0376212
+0.0394403
+0.0412955
+0.0431821
+0.0450882
+0.0470158
+0.0489654
+0.0509347
+0.0529214
+0.054888
+0.0568503
+0.0588288
+0.060787
+0.0627324
+0.0646935
+0.0666689
+0.0686574
+0.0706319
+0.0724895
+0.073836
+0.0744642
+0.075151
+0.0758949
+0.0766941
+0.077547
+0.0784518
+0.0793959
+0.0799096
+0.0804715
+0.0810888
+0.0806084
+0.0796716
+0.0787719
+0.0779234
+0.0771277
+0.076376
+0.0756787
+0.075039
+0.0744582
+0.0739377
+0.073479
+0.073083
+0.0727509
+0.0724806
+0.0722736
+0.0721326
+0.0715799
+0.0695613
+0.0675378
+0.065516
+0.0635054
+0.061507
+0.0595223
+0.0575159
+0.0555114
+0.0535214
+0.0515477
+0.0495922
+0.0476309
+0.0456842
+0.0437606
+0.0418632
+0.0399799
+0.0381145
+0.0362856
+0.0344825
+0.0327013
+0.0309563
+0.0292713
+0.0276277
+0.0260401
+0.0244983
+0.0230379
+0.0215565
+0.020139
+0.0188046
+0.0176269
+0.0165938
+0.0157585
+0.015052
+0.0145942
+0.0144198
+0.014511
+0.0148617
+0.0154541
+0.0161867
+0.017003
+0.0179516
+0.0190314
+0.0202325
+0.0215303
+0.022937
+0.024409
+0.0259809
+0.0276307
+0.0292378
+0.0309013
+0.0325761
+0.0342535
+0.0359762
+0.0377475
+0.0395608
+0.0414106
+0.0432894
+0.0451875
+0.047111
+0.0490569
+0.0510226
+0.0529607
+0.0548938
+0.0568457
+0.0587819
+0.0607125
+0.0626603
+0.0646236
+0.0666011
+0.0685794
+0.070423
+0.0721173
+0.0734944
+0.0743035
+0.0749918
+0.0757373
+0.0765382
+0.0773928
+0.0782993
+0.0792453
+0.0799111
+0.080473
+0.0810902
+0.080462
+0.0795235
+0.078622
+0.0777719
+0.0769747
+0.0762321
+0.0755425
+0.0749049
+0.0743266
+0.0738074
+0.0733478
+0.0729512
+0.0726184
+0.0723505
+0.0721482
+0.0720076
+0.0719328
+0.0701852
+0.0681715
+0.066169
+0.0641788
+0.0621643
+0.060155
+0.0581589
+0.0561773
+0.0542093
+0.0522321
+0.0502727
+0.0483331
+0.0464159
+0.0445239
+0.0426511
+0.0407902
+0.0389637
+0.0371634
+0.0353938
+0.0336582
+0.0319655
+0.0303082
+0.0286732
+0.0270941
+0.0255016
+0.0239647
+0.0225344
+0.0211418
+0.0198738
+0.0187028
+0.0176644
+0.0167981
+0.0161034
+0.0156297
+0.0154232
+0.0155183
+0.0158239
+0.0163762
+0.0170143
+0.0178037
+0.0186741
+0.0197143
+0.0208834
+0.0220962
+0.0234346
+0.0248725
+0.026414
+0.0280013
+0.0295946
+0.0312443
+0.0328684
+0.0345262
+0.0362401
+0.0379998
+0.0398016
+0.0416407
+0.0435033
+0.0453924
+0.0473075
+0.0492214
+0.0511082
+0.0530184
+0.0549496
+0.056875
+0.0587866
+0.0607171
+0.0626647
+0.0646229
+0.0665383
+0.0682117
+0.0695282
+0.0708878
+0.0722884
+0.0737274
+0.0748964
+0.0756428
+0.0764447
+0.0773003
+0.078208
+0.079155
+0.0799726
+0.0805341
+0.0811508
+0.0803667
+0.0794355
+0.078533
+0.0776819
+0.0768838
+0.0761403
+0.0754532
+0.0748235
+0.0742449
+0.0737265
+0.0732699
+0.0728763
+0.0725468
+0.0722787
+0.0720762
+0.0719398
+0.07187
+0.070862
+0.0688681
+0.0668484
+0.0648362
+0.0628361
+0.060849
+0.058867
+0.056883
+0.0549147
+0.0529639
+0.0510326
+0.049123
+0.0472379
+0.0453766
+0.043522
+0.0417001
+0.0399048
+0.0381366
+0.0364138
+0.0347272
+0.0330221
+0.0313756
+0.0297275
+0.0280806
+0.0265125
+0.0250304
+0.0235839
+0.0222213
+0.020976
+0.0198276
+0.0188135
+0.0179553
+0.0172811
+0.0168117
+0.0166199
+0.0166648
+0.0169158
+0.0173547
+0.0179631
+0.0186425
+0.0194755
+0.0204853
+0.021594
+0.0227722
+0.024075
+0.0254817
+0.0269641
+0.0284961
+0.0300707
+0.0316967
+0.0332745
+0.034913
+0.0366093
+0.0383557
+0.0401457
+0.0419738
+0.043819
+0.0456645
+0.0475265
+0.0493809
+0.0512618
+0.0531515
+0.0550304
+0.0569292
+0.0588482
+0.0607788
+0.062673
+0.064442
+0.0656878
+0.0669822
+0.0683223
+0.0697056
+0.0711294
+0.0725913
+0.0740893
+0.0756117
+0.0764139
+0.0772699
+0.0781779
+0.0791253
+0.080094
+0.0806546
+0.0812704
+0.0803279
+0.0793985
+0.0785051
+0.0776536
+0.0768552
+0.0761115
+0.0754241
+0.0747946
+0.0742244
+0.0737093
+0.0732526
+0.0728589
+0.0725293
+0.0722612
+0.0720586
+0.0719222
+0.0718524
+0.0715612
+0.0695474
+0.0675446
+0.0655517
+0.0635542
+0.0615699
+0.0595979
+0.057639
+0.0556975
+0.0537751
+0.051874
+0.0499965
+0.0481456
+0.0462999
+0.0444832
+0.0426794
+0.0409105
+0.0391843
+0.0375065
+0.0357985
+0.03409
+0.0323875
+0.030727
+0.0291366
+0.0276286
+0.0261374
+0.0247215
+0.0234061
+0.0222063
+0.021061
+0.020056
+0.0192066
+0.0185765
+0.0181402
+0.0179201
+0.0179219
+0.0181178
+0.0184692
+0.0189762
+0.0196763
+0.0204808
+0.0213639
+0.0224072
+0.0235615
+0.0248371
+0.0262115
+0.027632
+0.0291024
+0.0306406
+0.0322143
+0.0337891
+0.0354294
+0.0371038
+0.038828
+0.040559
+0.042329
+0.044128
+0.0459441
+0.0477789
+0.0496078
+0.0514401
+0.0532869
+0.0551588
+0.0570534
+0.0589615
+0.0607015
+0.0619575
+0.063215
+0.0644846
+0.0658027
+0.0671664
+0.0685729
+0.0700197
+0.0715044
+0.0730246
+0.0745782
+0.0761632
+0.0773016
+0.0782092
+0.0791562
+0.0801511
+0.0808344
+0.0814488
+0.0803446
+0.0794154
+0.0785363
+0.0776872
+0.0768891
+0.0761457
+0.0754586
+0.0748294
+0.0742595
+0.0737503
+0.0733008
+0.0729074
+0.072578
+0.0723101
+0.0721077
+0.0719713
+0.0719016
+0.0718985
+0.0702693
+0.0682693
+0.0662813
+0.0643064
+0.062346
+0.0603994
+0.0584674
+0.0565543
+0.0546621
+0.0527929
+0.0509493
+0.0491067
+0.0472738
+0.0454725
+0.0437068
+0.0419812
+0.0403009
+0.0385726
+0.0368168
+0.0351099
+0.0334511
+0.0318461
+0.0303052
+0.0287606
+0.0273045
+0.0259519
+0.0246503
+0.0234351
+0.0223361
+0.0214008
+0.0206095
+0.0200058
+0.0195599
+0.0192888
+0.0191753
+0.0192693
+0.0195819
+0.0200586
+0.0207162
+0.0215226
+0.0223577
+0.0233537
+0.0244848
+0.0257128
+0.0270055
+0.0283855
+0.0298129
+0.0313141
+0.032833
+0.034383
+0.0359962
+0.0376409
+0.0393004
+0.0410098
+0.0427536
+0.0445044
+0.0462871
+0.0480694
+0.0498601
+0.0516704
+0.0535092
+0.0553736
+0.0570115
+0.0581824
+0.0594109
+0.0606937
+0.0620274
+0.0633344
+0.0646759
+0.0660628
+0.0674923
+0.0689618
+0.0704688
+0.0720109
+0.0735859
+0.0751917
+0.0768205
+0.0783018
+0.0792477
+0.0802414
+0.0810729
+0.0816856
+0.0804136
+0.0794852
+0.0786069
+0.0777805
+0.0769854
+0.0762429
+0.0755567
+0.0749283
+0.0743591
+0.0738506
+0.0734039
+0.0730202
+0.0726927
+0.0724253
+0.0722231
+0.072087
+0.0720174
+0.0720143
+0.071018
+0.0690397
+0.0670745
+0.0651237
+0.0631887
+0.0612688
+0.0593651
+0.0574819
+0.0556212
+0.0537767
+0.0519237
+0.0500981
+0.0483028
+0.0465414
+0.0448179
+0.0431367
+0.0413473
+0.0395933
+0.0378849
+0.0362283
+0.0346162
+0.0330067
+0.0314438
+0.0299579
+0.028563
+0.0272089
+0.025934
+0.0247818
+0.0237448
+0.0228235
+0.0220637
+0.021416
+0.0209425
+0.0206099
+0.0204841
+0.0205691
+0.0208404
+0.0212566
+0.0218718
+0.0226059
+0.0234351
+0.0243915
+0.0254578
+0.0266447
+0.0279241
+0.029256
+0.0306431
+0.0320828
+0.0335626
+0.0351037
+0.0366605
+0.0382489
+0.039886
+0.0415487
+0.0432379
+0.0449558
+0.0466817
+0.0484175
+0.0501889
+0.0519921
+0.0534943
+0.0545698
+0.0557103
+0.0569079
+0.0581634
+0.0594731
+0.0608335
+0.06224
+0.0636046
+0.0650144
+0.0664664
+0.0679581
+0.0694869
+0.0710503
+0.0726419
+0.0742609
+0.0759086
+0.0775831
+0.0792738
+0.0802903
+0.0813447
+0.0819803
+0.080538
+0.0796153
+0.0787385
+0.0779134
+0.0771417
+0.0764028
+0.075718
+0.075091
+0.074523
+0.0740156
+0.07357
+0.0731872
+0.0728679
+0.0726014
+0.0723998
+0.072264
+0.0721945
+0.0721914
+0.0718257
+0.0698702
+0.0679291
+0.0660036
+0.0640951
+0.0622032
+0.060329
+0.0584753
+0.0566156
+0.0547711
+0.052953
+0.0511641
+0.0494076
+0.047687
+0.0459534
+0.0441651
+0.0424145
+0.0407065
+0.0390434
+0.037381
+0.0357537
+0.0341742
+0.0326654
+0.0312374
+0.029838
+0.0285151
+0.0273007
+0.0261981
+0.025174
+0.0242503
+0.023463
+0.0228296
+0.0223615
+0.0220503
+0.0219312
+0.0219703
+0.0221718
+0.0225471
+0.023077
+0.0237559
+0.0245812
+0.0255129
+0.0265371
+0.0276548
+0.0288768
+0.0301571
+0.0315118
+0.0328923
+0.0343308
+0.0358429
+0.0373558
+0.0389256
+0.0405346
+0.0421506
+0.0437906
+0.0454401
+0.04712
+0.0488365
+0.0502084
+0.0511656
+0.0521971
+0.0532988
+0.0544659
+0.0556903
+0.0569726
+0.058309
+0.059696
+0.06113
+0.0625823
+0.0640146
+0.0654889
+0.0670024
+0.0685524
+0.0701352
+0.0717438
+0.0733826
+0.0750495
+0.0767428
+0.0784607
+0.0802017
+0.0813691
+0.0823322
+0.0807029
+0.0797895
+0.0789264
+0.0781076
+0.0773378
+0.076623
+0.0759423
+0.0753171
+0.0747508
+0.074245
+0.0738007
+0.0734191
+0.0731013
+0.0728415
+0.0726405
+0.0725052
+0.0724359
+0.0724329
+0.072496
+0.0707589
+0.0688429
+0.0669436
+0.0650627
+0.0631995
+0.0613337
+0.0594805
+0.0576444
+0.0558339
+0.0540516
+0.0523003
+0.0505832
+0.0488003
+0.0470181
+0.0452718
+0.0435657
+0.0418715
+0.0401908
+0.0385514
+0.0369616
+0.035436
+0.0339509
+0.0325216
+0.0311808
+0.029923
+0.0287038
+0.0275926
+0.0265845
+0.0256916
+0.0249336
+0.0243279
+0.0238804
+0.0235821
+0.0234357
+0.0233971
+0.0235565
+0.0238793
+0.0243879
+0.0250239
+0.0258056
+0.0267226
+0.0276982
+0.0287605
+0.0299217
+0.03114
+0.0324021
+0.0337472
+0.0351567
+0.0365751
+0.0380581
+0.0395791
+0.0411604
+0.0427208
+0.0443176
+0.0459548
+0.0471804
+0.0480118
+0.0489221
+0.049904
+0.0509611
+0.0520889
+0.0532825
+0.0545335
+0.0558424
+0.0572052
+0.0586183
+0.060078
+0.0615767
+0.0630698
+0.0645656
+0.0661002
+0.0676709
+0.0692738
+0.070902
+0.0725598
+0.0742452
+0.0759564
+0.0776918
+0.0794496
+0.0812284
+0.0825474
+0.0809267
+0.0800159
+0.0791552
+0.0783464
+0.077591
+0.0768755
+0.0762071
+0.075586
+0.0750218
+0.0745178
+0.0740751
+0.073695
+0.0733783
+0.0731259
+0.0729384
+0.0728115
+0.0727425
+0.0727395
+0.0728024
+0.0717036
+0.0698134
+0.0679413
+0.0660737
+0.0642143
+0.0623677
+0.0605399
+0.0587369
+0.0569612
+0.0552152
+0.0534824
+0.051676
+0.0499004
+0.048159
+0.0464386
+0.044711
+0.0430256
+0.0413875
+0.0397914
+0.0382289
+0.0367055
+0.0352518
+0.0338774
+0.0325609
+0.0312876
+0.0301193
+0.0290442
+0.0280632
+0.0272164
+0.0264917
+0.0259044
+0.0254574
+0.0251104
+0.0249187
+0.0248772
+0.0250026
+0.0252883
+0.0257177
+0.0262705
+0.0269902
+0.0278433
+0.0287964
+0.0298799
+0.0309607
+0.0321207
+0.0333613
+0.0346461
+0.0359476
+0.0373232
+0.0387738
+0.0402823
+0.041785
+0.0433106
+0.0444606
+0.0451297
+0.0458937
+0.0467479
+0.0476824
+0.0486942
+0.049782
+0.0509408
+0.0521643
+0.0534415
+0.0547765
+0.0561652
+0.0576038
+0.0590886
+0.0606117
+0.0621699
+0.0637043
+0.0652591
+0.0668496
+0.0684717
+0.0701186
+0.0717945
+0.0734974
+0.0752257
+0.0769774
+0.0787512
+0.0805455
+0.0823589
+0.081209
+0.0803014
+0.0794438
+0.078638
+0.0778854
+0.0771727
+0.076507
+0.0758987
+0.0753491
+0.0748491
+0.0744084
+0.07403
+0.0737147
+0.0734635
+0.0732769
+0.0731555
+0.0730995
+0.0731092
+0.0731731
+0.0727019
+0.0708353
+0.0689651
+0.0671143
+0.0652742
+0.0634545
+0.0616589
+0.0598897
+0.0581491
+0.0563747
+0.0545761
+0.0528071
+0.0510517
+0.0492908
+0.0475656
+0.0458783
+0.0442263
+0.0426101
+0.041038
+0.039511
+0.0380383
+0.036634
+0.0352523
+0.033947
+0.0327277
+0.0316061
+0.030565
+0.0296301
+0.0288139
+0.0281073
+0.0274907
+0.0269925
+0.0266556
+0.0264463
+0.0263644
+0.026437
+0.026652
+0.0270086
+0.0275354
+0.0282229
+0.0290281
+0.0299433
+0.0309495
+0.031965
+0.0330946
+0.0343121
+0.0355457
+0.0368061
+0.0381508
+0.039569
+0.0410048
+0.0420914
+0.0425945
+0.0432029
+0.0438921
+0.0446773
+0.0455544
+0.0465128
+0.0475496
+0.0486629
+0.0498478
+0.0510991
+0.0524121
+0.0537787
+0.0551926
+0.0566559
+0.0581649
+0.0597116
+0.0612927
+0.0629075
+0.0644816
+0.0660908
+0.0677311
+0.0693955
+0.0710884
+0.0728079
+0.0745521
+0.0763194
+0.078108
+0.0799168
+0.0817442
+0.0815492
+0.0806454
+0.0797916
+0.0789893
+0.0782401
+0.0775308
+0.0768682
+0.0762627
+0.0757158
+0.0752288
+0.0748027
+0.074428
+0.0741145
+0.0738646
+0.073679
+0.0735582
+0.0735026
+0.0735122
+0.0735871
+0.073727
+0.0718737
+0.0700311
+0.0681976
+0.0663857
+0.0645973
+0.0628344
+0.0610992
+0.0592878
+0.0574969
+0.05569
+0.0539026
+0.0521459
+0.0504233
+0.0487321
+0.0470783
+0.0454651
+0.043886
+0.0423573
+0.0408698
+0.0394152
+0.0380057
+0.0366676
+0.0354124
+0.034241
+0.0331494
+0.0321593
+0.0312401
+0.0303839
+0.0296403
+0.0290317
+0.0285481
+0.0281662
+0.0279108
+0.0278072
+0.027852
+0.0280588
+0.0284033
+0.0288793
+0.0294931
+0.0302451
+0.0311246
+0.0320681
+0.0330734
+0.0341664
+0.0353106
+0.0365238
+0.0377503
+0.0390612
+0.0401601
+0.0404505
+0.0408565
+0.0413746
+0.0420007
+0.0427301
+0.0435372
+0.0444368
+0.0454188
+0.04648
+0.0476184
+0.0488286
+0.0501054
+0.0514438
+0.052839
+0.0542778
+0.0557651
+0.0572976
+0.0588717
+0.0604821
+0.0621208
+0.0637698
+0.0653965
+0.0670538
+0.0687346
+0.0704434
+0.0721783
+0.0739374
+0.0757189
+0.0775215
+0.0793436
+0.0810155
+0.0819466
+0.0810473
+0.0801977
+0.0793995
+0.0786542
+0.0779488
+0.0772898
+0.0766876
+0.0761438
+0.0756595
+0.0752359
+0.074874
+0.0745748
+0.0743281
+0.0741436
+0.0740236
+0.0739683
+0.0739779
+0.0740523
+0.0741913
+0.0729612
+0.0711357
+0.0693314
+0.06755
+0.0657933
+0.0640276
+0.0622025
+0.0603695
+0.058561
+0.0567794
+0.0550274
+0.0533071
+0.0516141
+0.0499597
+0.048346
+0.0467658
+0.045232
+0.0437217
+0.0422387
+0.0408086
+0.0394439
+0.0381557
+0.0369447
+0.0358048
+0.0347315
+0.0336963
+0.0327693
+0.0319291
+0.0311985
+0.0305641
+0.0300429
+0.0296739
+0.0294137
+0.0293116
+0.0293278
+0.0294927
+0.0298009
+0.0302512
+0.0308372
+0.0315288
+0.0323161
+0.0332054
+0.0342053
+0.0352552
+0.036389
+0.0375843
+0.038725
+0.0387888
+0.0389664
+0.0392657
+0.0396837
+0.040217
+0.0408608
+0.0416095
+0.0424566
+0.0433879
+0.0443987
+0.0454906
+0.0466534
+0.047888
+0.0491892
+0.0505519
+0.0519711
+0.0534332
+0.0549434
+0.0564982
+0.0580939
+0.0597274
+0.0613952
+0.0630904
+0.064769
+0.0664419
+0.0681378
+0.0698612
+0.0716102
+0.0733829
+0.0751776
+0.0769928
+0.0785642
+0.0801516
+0.0823893
+0.0814949
+0.08065
+0.0798563
+0.0791153
+0.0784258
+0.0777708
+0.0771724
+0.076632
+0.0761508
+0.07573
+0.0753705
+0.0750732
+0.0748389
+0.0746675
+0.0745483
+0.0744934
+0.0745029
+0.0745768
+0.0747149
+0.0740869
+0.0722899
+0.0705152
+0.0687644
+0.0669286
+0.0650811
+0.0632556
+0.061454
+0.0596784
+0.0579312
+0.0562107
+0.0545198
+0.0528655
+0.0512487
+0.0496718
+0.048131
+0.0465931
+0.0450982
+0.0436514
+0.0422649
+0.0409487
+0.0396749
+0.0384401
+0.0372925
+0.0362258
+0.0352323
+0.0343116
+0.0334939
+0.0327378
+0.0321094
+0.0316137
+0.0312335
+0.0309738
+0.030837
+0.0308386
+0.0309952
+0.031278
+0.0316932
+0.0322005
+0.0328264
+0.0335833
+0.034437
+0.0353947
+0.0364092
+0.0375082
+0.0376464
+0.0375994
+0.037677
+0.0378599
+0.0381678
+0.0385977
+0.0391458
+0.039807
+0.0405742
+0.0414425
+0.0424062
+0.0434506
+0.0445678
+0.0457627
+0.0470294
+0.048355
+0.0497405
+0.0511822
+0.0526663
+0.0541978
+0.0557734
+0.0573893
+0.0590423
+0.0607289
+0.0624426
+0.0641854
+0.0658972
+0.0676067
+0.0693434
+0.0711051
+0.07289
+0.0746162
+0.0761599
+0.0777347
+0.0793387
+0.0828837
+0.0819947
+0.081155
+0.0803663
+0.0796301
+0.0789478
+0.0783102
+0.077716
+0.0771794
+0.0767016
+0.0762838
+0.0759269
+0.0756319
+0.0753993
+0.0752298
+0.0751231
+0.0750686
+0.075078
+0.0751513
+0.0752883
+0.0752596
+0.0734913
+0.0716778
+0.0698186
+0.0679791
+0.066161
+0.0643661
+0.0625964
+0.060854
+0.059134
+0.0574456
+0.055792
+0.0541731
+0.0525941
+0.051008
+0.0494642
+0.0479638
+0.0465129
+0.0450825
+0.0436919
+0.042369
+0.0411082
+0.0399171
+0.0388131
+0.0377721
+0.0368009
+0.0358904
+0.0350491
+0.0343272
+0.0337085
+0.033218
+0.0328172
+0.0325535
+0.0324125
+0.0324141
+0.0325365
+0.0327772
+0.0331168
+0.0335888
+0.0341895
+0.0348982
+0.0357197
+0.0366024
+0.0370913
+0.0367837
+0.0366047
+0.0365565
+0.0366393
+0.0368504
+0.0371667
+0.0376081
+0.0381703
+0.038848
+0.0396331
+0.0405215
+0.0415067
+0.0425818
+0.0437299
+0.0449471
+0.0462361
+0.0475911
+0.0490065
+0.050473
+0.0519785
+0.0535314
+0.0551262
+0.0567605
+0.0584313
+0.0601351
+0.0618652
+0.0636238
+0.0654084
+0.0671404
+0.0688853
+0.070655
+0.0722799
+0.0738074
+0.0753677
+0.0769587
+0.0785785
+0.0834328
+0.0825496
+0.0817157
+0.0809324
+0.0802014
+0.079524
+0.0788907
+0.078308
+0.0777754
+0.0773014
+0.0768868
+0.0765328
+0.07624
+0.0760093
+0.0758412
+0.0757361
+0.0756943
+0.0757122
+0.0757849
+0.0759207
+0.0761194
+0.0745768
+0.0727257
+0.070894
+0.0690831
+0.0672949
+0.065531
+0.0637907
+0.0620743
+0.0603886
+0.0587353
+0.0571158
+0.05549
+0.0538966
+0.0523463
+0.0508354
+0.04934
+0.0478726
+0.0464623
+0.0451142
+0.0438264
+0.0426054
+0.0414573
+0.0403604
+0.0393441
+0.0383765
+0.0374633
+0.0366488
+0.035932
+0.0353367
+0.0348247
+0.0344359
+0.0341577
+0.0340184
+0.0340131
+0.0340801
+0.0342757
+0.0345877
+0.0350341
+0.0355881
+0.0362619
+0.037004
+0.0366108
+0.0361666
+0.035851
+0.0356674
+0.0356178
+0.0357029
+0.0359216
+0.0362677
+0.0367199
+0.0372955
+0.0379888
+0.0387926
+0.0397002
+0.0407052
+0.041801
+0.0429806
+0.0442251
+0.0455345
+0.0469097
+0.0483452
+0.0498342
+0.0513589
+0.05293
+0.0545438
+0.0561967
+0.0578849
+0.0596047
+0.0613545
+0.0631319
+0.0649314
+0.0667314
+0.0684868
+0.0700027
+0.0715118
+0.0730554
+0.0746314
+0.0762377
+0.0778726
+0.0840353
+0.0831586
+0.0823308
+0.0815535
+0.080828
+0.0801489
+0.0795198
+0.0789464
+0.0784253
+0.0779552
+0.0775441
+0.0771931
+0.0769029
+0.0766741
+0.0765075
+0.0764033
+0.0763619
+0.0763833
+0.0764675
+0.0766085
+0.0768054
+0.075648
+0.0738238
+0.0720199
+0.0702381
+0.06848
+0.0667415
+0.0650292
+0.0633464
+0.0616938
+0.0600371
+0.0584034
+0.0568072
+0.0552518
+0.0537069
+0.0521784
+0.0506985
+0.0492716
+0.0479025
+0.0465901
+0.0453396
+0.0441604
+0.0430115
+0.041945
+0.0409112
+0.0399358
+0.0390591
+0.0382697
+0.0375623
+0.0369517
+0.0364557
+0.0360768
+0.0358111
+0.0356516
+0.0355825
+0.0356373
+0.0358037
+0.0361019
+0.0365065
+0.0370092
+0.0370759
+0.0363801
+0.0358051
+0.0353536
+0.0350307
+0.0348427
+0.034792
+0.0348791
+0.0350946
+0.0354393
+0.0359145
+0.0365077
+0.0372158
+0.038037
+0.0389643
+0.0399902
+0.0411073
+0.0423084
+0.0435867
+0.0449289
+0.0463221
+0.0477752
+0.0492828
+0.0508262
+0.0524132
+0.0540425
+0.0557103
+0.0574128
+0.0591463
+0.0609093
+0.0626993
+0.064514
+0.0663362
+0.0677884
+0.0692787
+0.0708032
+0.0723619
+0.0739527
+0.0755734
+0.0772224
+0.0846903
+0.0838204
+0.0829992
+0.0822282
+0.0815055
+0.0808276
+0.0802038
+0.0796353
+0.0791235
+0.0786646
+0.0782573
+0.0779094
+0.0776219
+0.0773953
+0.0772302
+0.077127
+0.077086
+0.0771072
+0.0771906
+0.0773359
+0.0775379
+0.0767668
+0.0749697
+0.0731942
+0.0714375
+0.0697029
+0.0679946
+0.0663146
+0.0646356
+0.0629688
+0.061335
+0.0597368
+0.0581406
+0.056578
+0.0550448
+0.0535545
+0.0521137
+0.0507267
+0.0493935
+0.0481161
+0.0468957
+0.0457133
+0.0445961
+0.0435017
+0.0424723
+0.041533
+0.0406686
+0.0398888
+0.0392084
+0.0386172
+0.0381429
+0.0377732
+0.0374669
+0.0372656
+0.0371892
+0.0372177
+0.0373746
+0.0376202
+0.0379821
+0.0372145
+0.0363897
+0.0356806
+0.0350941
+0.0346365
+0.0343069
+0.034115
+0.0340632
+0.0341521
+0.034369
+0.0347208
+0.0352058
+0.0358183
+0.0365521
+0.0373934
+0.0383362
+0.0393785
+0.0405125
+0.0417308
+0.0430261
+0.0443859
+0.0458042
+0.0472816
+0.0488125
+0.0503805
+0.0519837
+0.053626
+0.0553064
+0.057021
+0.058766
+0.0605401
+0.0623407
+0.0641655
+0.0656448
+0.067112
+0.0686169
+0.0701558
+0.0717286
+0.0733331
+0.0749673
+0.0766293
+0.0853965
+0.0845338
+0.0837196
+0.0829553
+0.0822314
+0.0815595
+0.0809413
+0.0803781
+0.079871
+0.0794211
+0.0790247
+0.0786803
+0.0783956
+0.0781712
+0.0780078
+0.0779056
+0.077865
+0.077886
+0.0779685
+0.0781125
+0.0783174
+0.0779311
+0.0761579
+0.0744043
+0.0726745
+0.0709701
+0.0692753
+0.0675809
+0.0659157
+0.0642785
+0.0626393
+0.0610348
+0.0594676
+0.0579351
+0.0564361
+0.0549835
+0.0535812
+0.0522302
+0.0509286
+0.0496645
+0.0484538
+0.0472881
+0.0461431
+0.0450681
+0.0440759
+0.0431563
+0.0423142
+0.0415587
+0.0408993
+0.04032
+0.0398331
+0.0394288
+0.0391151
+0.0389132
+0.0388196
+0.0388359
+0.0389432
+0.0386347
+0.0376055
+0.0366621
+0.0358246
+0.0351041
+0.0345078
+0.0340423
+0.0337079
+0.0335126
+0.0334598
+0.0335504
+0.0337701
+0.0341281
+0.0346213
+0.0352441
+0.0359896
+0.0368504
+0.0378187
+0.0388783
+0.0400265
+0.0412591
+0.0425689
+0.0439449
+0.0453771
+0.0468679
+0.0484119
+0.0500043
+0.051635
+0.0532964
+0.0549869
+0.0567111
+0.0584654
+0.0602484
+0.0620574
+0.0635799
+0.0650199
+0.0665009
+0.0680177
+0.0695698
+0.0711556
+0.0727727
+0.0744192
+0.0760931
+0.0861496
+0.0852945
+0.0844877
+0.0837263
+0.0830087
+0.0823432
+0.0817309
+0.0811732
+0.0806711
+0.0802257
+0.079838
+0.0795041
+0.0792223
+0.0790003
+0.0788386
+0.0787375
+0.0786973
+0.078718
+0.0787997
+0.0789421
+0.079145
+0.0791297
+0.0773814
+0.0756562
+0.0739461
+0.0722307
+0.0705392
+0.0688642
+0.067194
+0.0655545
+0.0639481
+0.0623772
+0.0608443
+0.0593394
+0.0578768
+0.0564614
+0.055095
+0.0537575
+0.0524702
+0.0512186
+0.0500127
+0.0488309
+0.0477159
+0.0466771
+0.0457153
+0.0448225
+0.0440012
+0.0432751
+0.0425945
+0.0420066
+0.041526
+0.0410952
+0.0407713
+0.0405632
+0.0404506
+0.0404558
+0.0393635
+0.0382286
+0.0371883
+0.036234
+0.0353864
+0.0346567
+0.0340526
+0.0335807
+0.0332428
+0.0330447
+0.0329912
+0.033083
+0.0333048
+0.0336678
+0.0341676
+0.0347985
+0.0355534
+0.0364245
+0.0374038
+0.0384749
+0.0396347
+0.0408792
+0.0422007
+0.0435923
+0.0450475
+0.0465537
+0.0481078
+0.0497099
+0.0513555
+0.0530405
+0.0547502
+0.0564846
+0.0582458
+0.0600352
+0.0616016
+0.0630093
+0.0644588
+0.0659491
+0.0674778
+0.069042
+0.0706396
+0.0722683
+0.073926
+0.0756109
+0.0869471
+0.0861
+0.0853007
+0.0845467
+0.0838361
+0.0831772
+0.0825711
+0.0820191
+0.0815222
+0.0810815
+0.0806979
+0.0803722
+0.0801004
+0.0798808
+0.0797209
+0.0796209
+0.0795812
+0.0796017
+0.0796825
+0.0798233
+0.0800239
+0.0802838
+0.0786388
+0.0769053
+0.0751957
+0.0734902
+0.071794
+0.0701252
+0.0684858
+0.066878
+0.065304
+0.0637666
+0.0622563
+0.0607849
+0.0593579
+0.0579756
+0.0566147
+0.0552966
+0.0540195
+0.0527722
+0.0515647
+0.050415
+0.0493358
+0.0483319
+0.0473924
+0.0465204
+0.0456919
+0.0449504
+0.0442854
+0.0437147
+0.0431887
+0.0427685
+0.0424529
+0.0422312
+0.0416268
+0.0403179
+0.039088
+0.0379449
+0.0368965
+0.0359345
+0.0350797
+0.0343435
+0.0337338
+0.0332574
+0.0329172
+0.0327172
+0.0326631
+0.0327549
+0.0329787
+0.0333453
+0.0338499
+0.0344866
+0.0352481
+0.0361266
+0.0371138
+0.038193
+0.0393611
+0.040614
+0.0419439
+0.0433437
+0.044807
+0.0463277
+0.0479003
+0.0495108
+0.0511628
+0.052854
+0.0545807
+0.0563343
+0.0581079
+0.059715
+0.0610856
+0.0625029
+0.0639638
+0.0654655
+0.0670051
+0.0685802
+0.0701883
+0.0718272
+0.0734949
+0.0751894
+0.087792
+0.0869531
+0.0861618
+0.0854154
+0.0847121
+0.08406
+0.0834603
+0.0829143
+0.0824228
+0.0819869
+0.0816076
+0.0812855
+0.0810214
+0.0808112
+0.0806531
+0.0805543
+0.080515
+0.0805353
+0.0806151
+0.0807544
+0.0809526
+0.0804872
+0.0787927
+0.0771231
+0.0754802
+0.0738658
+0.0722816
+0.0707299
+0.0692127
+0.0677324
+0.0662914
+0.0648924
+0.0635369
+0.0622267
+0.0608668
+0.059481
+0.0581446
+0.0568499
+0.0555669
+0.0543377
+0.0531577
+0.0520432
+0.0509869
+0.0499975
+0.0490612
+0.0481769
+0.0473773
+0.0466528
+0.0460023
+0.0453971
+0.0448908
+0.0444777
+0.0441576
+0.0428676
+0.0414822
+0.0401686
+0.0389341
+0.0377863
+0.0367334
+0.035767
+0.034908
+0.0341682
+0.0335552
+0.0330763
+0.0327353
+0.0325341
+0.0324798
+0.032571
+0.0327961
+0.0331646
+0.033672
+0.034312
+0.0350773
+0.03596
+0.0369516
+0.0380354
+0.0392082
+0.0404658
+0.0418004
+0.0432049
+0.0446727
+0.0461978
+0.0477748
+0.0493985
+0.0510635
+0.0527578
+0.0544876
+0.0562495
+0.0579306
+0.0592615
+0.0606423
+0.0620697
+0.0635406
+0.0650521
+0.0666013
+0.0681857
+0.0698029
+0.0714506
+0.0731269
+0.0748297
+0.088683
+0.0878527
+0.0870695
+0.0863302
+0.0856344
+0.0849894
+0.0843964
+0.0838564
+0.0833705
+0.0829396
+0.0825646
+0.0822463
+0.0819853
+0.0817821
+0.0816277
+0.0815301
+0.0814912
+0.0815113
+0.0815902
+0.0817277
+0.0819237
+0.0804146
+0.0787184
+0.0770473
+0.0754027
+0.0737866
+0.0722007
+0.0706472
+0.0691282
+0.067646
+0.0662032
+0.0648023
+0.0634448
+0.0621327
+0.0608711
+0.0596634
+0.0585127
+0.0574226
+0.0563965
+0.0554381
+0.0545509
+0.0536858
+0.052656
+0.0516629
+0.0507293
+0.0498745
+0.0490879
+0.0483586
+0.0477047
+0.0471213
+0.0466206
+0.0458008
+0.0442907
+0.0428394
+0.0414531
+0.0401386
+0.038903
+0.0377543
+0.0367005
+0.0357332
+0.0348734
+0.0341325
+0.0335184
+0.0330383
+0.0326978
+0.0324974
+0.0324431
+0.0325337
+0.0327592
+0.0331282
+0.0336361
+0.0342767
+0.0350429
+0.0359264
+0.0369189
+0.0380036
+0.0391774
+0.0404359
+0.0417715
+0.043177
+0.0446457
+0.0461717
+0.0477495
+0.049374
+0.0510409
+0.0527462
+0.054479
+0.0562413
+0.0575465
+0.058886
+0.0602754
+0.0617113
+0.0631906
+0.0647102
+0.0662674
+0.0678596
+0.0694844
+0.0711395
+0.0728229
+0.0745327
+0.0896187
+0.0887971
+0.0880224
+0.0872886
+0.0866005
+0.0859627
+0.0853764
+0.0848427
+0.0843624
+0.0839366
+0.0835661
+0.0832516
+0.0829938
+0.0827931
+0.0826433
+0.0825469
+0.0825086
+0.0825284
+0.0826063
+0.0827422
+0.0821213
+0.0804015
+0.0787051
+0.0770337
+0.0753888
+0.0737723
+0.0721862
+0.0706323
+0.069113
+0.0676305
+0.0661873
+0.0647861
+0.0634283
+0.0621158
+0.0608539
+0.0596458
+0.0584948
+0.0574043
+0.056378
+0.0554192
+0.0545316
+0.0537188
+0.0529842
+0.052323
+0.0517406
+0.0512453
+0.0507873
+0.0500725
+0.0494445
+0.0488661
+0.0474399
+0.0458792
+0.0443717
+0.0429232
+0.0415397
+0.0402279
+0.0389953
+0.037849
+0.0367799
+0.0358104
+0.0349515
+0.0342115
+0.0335984
+0.033119
+0.0327794
+0.0325793
+0.032525
+0.032617
+0.0328472
+0.0332206
+0.0337323
+0.0343763
+0.0351446
+0.0360262
+0.0370161
+0.038098
+0.039269
+0.0405247
+0.0418574
+0.0432601
+0.0447261
+0.0462494
+0.0478246
+0.0494467
+0.0511113
+0.0528142
+0.0545449
+0.0559268
+0.0572366
+0.0585901
+0.0599863
+0.061429
+0.0629149
+0.064441
+0.0660046
+0.0676029
+0.0692337
+0.0708947
+0.0725838
+0.0742991
+0.0903478
+0.0897851
+0.089019
+0.0882909
+0.0876106
+0.0869803
+0.0864009
+0.0858735
+0.0853991
+0.0849785
+0.0846125
+0.0843019
+0.0840473
+0.0838492
+0.083704
+0.0836088
+0.0835709
+0.0835905
+0.0836674
+0.0838016
+0.082167
+0.0804482
+0.0787528
+0.0770823
+0.0754386
+0.0738232
+0.0722381
+0.0706854
+0.0691672
+0.0676859
+0.066244
+0.064844
+0.0634874
+0.0621762
+0.0609155
+0.0597086
+0.0585589
+0.0574696
+0.0564444
+0.0554868
+0.0546004
+0.0537886
+0.0530549
+0.0523946
+0.0518131
+0.0513185
+0.0509134
+0.0506001
+0.0503801
+0.0492076
+0.047604
+0.0460488
+0.0445471
+0.0431044
+0.0417269
+0.0404213
+0.0391947
+0.0380481
+0.0369822
+0.0360182
+0.0351644
+0.034429
+0.0338197
+0.0333436
+0.0330061
+0.0328066
+0.0327527
+0.032845
+0.0330736
+0.0334444
+0.0339528
+0.0345927
+0.035357
+0.0362378
+0.0372268
+0.0383156
+0.0394821
+0.0407312
+0.0420574
+0.0434536
+0.0449133
+0.0464305
+0.0479998
+0.0496161
+0.0512752
+0.0529728
+0.0544195
+0.0556785
+0.056994
+0.0583603
+0.059762
+0.06121
+0.0627011
+0.0642323
+0.0658008
+0.067404
+0.0690395
+0.0707018
+0.0723905
+0.0741054
+0.0910357
+0.0907808
+0.0900561
+0.0893356
+0.0886634
+0.0880406
+0.0874683
+0.0869474
+0.0864788
+0.0860635
+0.0857022
+0.0853955
+0.0851442
+0.0849486
+0.084808
+0.0847141
+0.0846767
+0.084696
+0.0847719
+0.0840096
+0.082271
+0.0805544
+0.0788613
+0.0771932
+0.0755518
+0.0739389
+0.0723564
+0.0708063
+0.0692907
+0.0678121
+0.0663729
+0.0649757
+0.063622
+0.0623135
+0.0610557
+0.0598517
+0.0587047
+0.0576182
+0.0565957
+0.0556407
+0.0547568
+0.0539473
+0.0532158
+0.0525576
+0.0519778
+0.0514848
+0.0510811
+0.0507688
+0.0505495
+0.0494561
+0.0478609
+0.0463143
+0.0448215
+0.0433879
+0.0420197
+0.0407235
+0.0395062
+0.038369
+0.0373123
+0.036357
+0.0355113
+0.0347833
+0.0341803
+0.0337093
+0.0333746
+0.0331773
+0.033124
+0.0332155
+0.0334423
+0.033809
+0.034312
+0.0349454
+0.0357021
+0.0365746
+0.0375547
+0.0386343
+0.0398053
+0.0410531
+0.0423692
+0.0437555
+0.0452054
+0.0467132
+0.0482732
+0.0498808
+0.0515313
+0.0530504
+0.0542528
+0.0555156
+0.0568268
+0.0581829
+0.0595888
+0.0610408
+0.0625359
+0.0640711
+0.0656434
+0.0672457
+0.0688785
+0.0705416
+0.0722329
+0.0739503
+0.0917707
+0.0915179
+0.0911333
+0.0904214
+0.0897574
+0.0891422
+0.088577
+0.0880626
+0.0876
+0.08719
+0.0868334
+0.0865308
+0.0862828
+0.0860898
+0.0859522
+0.085861
+0.0858241
+0.0858431
+0.0859181
+0.0841684
+0.0824331
+0.0807199
+0.0790303
+0.0773659
+0.0757283
+0.0741192
+0.0725406
+0.0709945
+0.0694831
+0.0680087
+0.0665737
+0.0651808
+0.0638314
+0.0625274
+0.061274
+0.0600743
+0.0589317
+0.0578494
+0.0568311
+0.0558801
+0.055
+0.0541903
+0.0534562
+0.0528028
+0.0522333
+0.0517435
+0.0513418
+0.051031
+0.0508129
+0.0497999
+0.048216
+0.0466812
+0.0452005
+0.0437793
+0.0424238
+0.0411403
+0.0399357
+0.038811
+0.0377667
+0.0368232
+0.0359885
+0.0352703
+0.0346759
+0.0342116
+0.033881
+0.0336867
+0.0336342
+0.0337243
+0.0339486
+0.0343099
+0.0348057
+0.0354302
+0.0361768
+0.0370381
+0.0380063
+0.0390734
+0.0402316
+0.0414666
+0.04277
+0.0441437
+0.0455813
+0.047077
+0.0486254
+0.0502216
+0.0518306
+0.0529607
+0.054148
+0.0553965
+0.0567022
+0.0580613
+0.0594699
+0.0609248
+0.0624227
+0.0639606
+0.0655356
+0.0671404
+0.0687758
+0.0704413
+0.0721349
+0.0738546
+0.0925518
+0.0923011
+0.0921019
+0.0915468
+0.0908909
+0.0902835
+0.0897254
+0.0892177
+0.0887611
+0.0883566
+0.0880047
+0.0877061
+0.0874614
+0.087271
+0.0871353
+0.0870479
+0.0870115
+0.0870303
+0.0861355
+0.0843837
+0.0826529
+0.0809444
+0.0792597
+0.0776001
+0.0759676
+0.0743637
+0.0727904
+0.0712497
+0.0697438
+0.068275
+0.0668458
+0.0654586
+0.0641151
+0.062817
+0.0615694
+0.0603756
+0.0592388
+0.0581623
+0.0571461
+0.0561948
+0.055314
+0.0545071
+0.0537773
+0.0531279
+0.0525619
+0.0520819
+0.0516829
+0.0513742
+0.0511576
+0.0502369
+0.0486672
+0.0471471
+0.0456815
+0.0442758
+0.0429359
+0.0416682
+0.0404794
+0.0393702
+0.0383411
+0.0374121
+0.0365909
+0.0358847
+0.0353006
+0.0348447
+0.0345193
+0.0343286
+0.0342771
+0.0343654
+0.0345865
+0.0349412
+0.0354282
+0.0360419
+0.036776
+0.0376236
+0.0385771
+0.0396289
+0.0407714
+0.0419905
+0.0432781
+0.0446361
+0.0460583
+0.047539
+0.0490729
+0.050655
+0.0517949
+0.0529177
+0.054106
+0.0553555
+0.0566621
+0.0580221
+0.0594317
+0.0608875
+0.0623863
+0.063925
+0.0655009
+0.0671066
+0.0687427
+0.070409
+0.0721034
+0.0738238
+0.0933777
+0.0931293
+0.0929318
+0.0927102
+0.0920627
+0.091463
+0.0909122
+0.0904111
+0.0899606
+0.0895615
+0.0892143
+0.0889198
+0.0886784
+0.0884907
+0.0883568
+0.0882733
+0.0882374
+0.0881675
+0.0864015
+0.0846552
+0.0829301
+0.0812274
+0.0795486
+0.0778953
+0.076269
+0.0746716
+0.073105
+0.0715711
+0.0700721
+0.0686103
+0.0671882
+0.0658083
+0.064472
+0.0631812
+0.061941
+0.0607516
+0.0596166
+0.0585417
+0.0575301
+0.0565853
+0.0557107
+0.0549096
+0.0541852
+0.0535408
+0.0529791
+0.052503
+0.0521072
+0.051801
+0.0515862
+0.0507648
+0.049212
+0.0477092
+0.0462614
+0.0448739
+0.0435524
+0.0423031
+0.0411327
+0.0400416
+0.0390302
+0.038118
+0.0373123
+0.0366201
+0.0360479
+0.0356016
+0.0352823
+0.0350957
+0.0350453
+0.0351317
+0.0353488
+0.035696
+0.0361728
+0.0367741
+0.0374939
+0.0383256
+0.0392621
+0.040296
+0.04142
+0.0426206
+0.0438897
+0.0452294
+0.0466336
+0.0480965
+0.0496131
+0.0507916
+0.0518437
+0.0529654
+0.0541527
+0.0554011
+0.0567067
+0.0580656
+0.0594742
+0.060929
+0.0624268
+0.0639645
+0.0655394
+0.0671442
+0.0687795
+0.0704449
+0.0721384
+0.073858
+0.0942474
+0.0940012
+0.0938056
+0.0936608
+0.0932712
+0.0926794
+0.0921358
+0.0916414
+0.091197
+0.0908033
+0.0904609
+0.0901704
+0.0899324
+0.0897473
+0.0896153
+0.0895355
+0.0895001
+0.0884817
+0.086722
+0.0849824
+0.083264
+0.0815683
+0.0798967
+0.0782507
+0.076632
+0.0750423
+0.0734835
+0.0719577
+0.070467
+0.0690136
+0.0675999
+0.0662286
+0.0648985
+0.0636114
+0.0623747
+0.0611914
+0.0600648
+0.058998
+0.0579944
+0.0570573
+0.05619
+0.0553958
+0.0546779
+0.0540393
+0.0534829
+0.0530113
+0.0526193
+0.0523162
+0.0521035
+0.0513807
+0.0498471
+0.0483641
+0.0469365
+0.0455695
+0.0442688
+0.0430404
+0.0418905
+0.0408197
+0.0398281
+0.0389346
+0.0381461
+0.0374693
+0.0369103
+0.0364745
+0.036162
+0.03598
+0.0359309
+0.0360152
+0.0362278
+0.0365667
+0.0370322
+0.0376198
+0.0383237
+0.0391378
+0.0400553
+0.0410692
+0.0421727
+0.0433524
+0.0446007
+0.0459197
+0.0473033
+0.0487462
+0.0499606
+0.0509356
+0.0519848
+0.0531036
+0.0542878
+0.0555331
+0.0568357
+0.0581916
+0.0595972
+0.0610491
+0.062544
+0.0640789
+0.0656511
+0.0672532
+0.0688859
+0.0705488
+0.0722398
+0.0739571
+0.0951595
+0.0949157
+0.094722
+0.0945786
+0.0944858
+0.0939245
+0.0933882
+0.0929005
+0.0924621
+0.0920738
+0.0917362
+0.0914498
+0.0912151
+0.0910326
+0.0909025
+0.090825
+0.0906115
+0.08884
+0.0870875
+0.0853553
+0.0836447
+0.0819568
+0.0802933
+0.0786556
+0.0770454
+0.0754644
+0.0739146
+0.0723978
+0.0709163
+0.0694723
+0.0680682
+0.0667065
+0.0653838
+0.0641065
+0.0628795
+0.0617059
+0.0605889
+0.0595315
+0.058537
+0.0576087
+0.0567499
+0.0559636
+0.0552531
+0.0546213
+0.0540709
+0.0536044
+0.0532168
+0.0529171
+0.0527068
+0.0520816
+0.0505692
+0.049108
+0.0477027
+0.0463583
+0.0450804
+0.0438746
+0.0427472
+0.0416984
+0.0407282
+0.0398549
+0.039085
+0.0384247
+0.0378798
+0.0374549
+0.0371503
+0.0369731
+0.0369253
+0.0370074
+0.0372152
+0.0375451
+0.0379987
+0.0385715
+0.0392584
+0.0400535
+0.0409504
+0.0419427
+0.0430238
+0.0441808
+0.0454063
+0.0467025
+0.0480637
+0.0493106
+0.0502027
+0.0511731
+0.0522175
+0.0533314
+0.0545106
+0.055751
+0.0570486
+0.0583996
+0.0598003
+0.0612474
+0.0627375
+0.0642679
+0.0658355
+0.0674332
+0.0690617
+0.0707204
+0.0724075
+0.0741209
+0.0961129
+0.0958716
+0.0956798
+0.0955378
+0.095446
+0.0952028
+0.0946738
+0.0941927
+0.0937604
+0.0933775
+0.0930446
+0.0927622
+0.0925309
+0.0923509
+0.0922227
+0.0921464
+0.0910125
+0.0892489
+0.0875047
+0.0857809
+0.0840789
+0.0824
+0.0807456
+0.0791172
+0.0775166
+0.0759454
+0.0744056
+0.0728991
+0.071428
+0.0699945
+0.0686011
+0.0672502
+0.0659384
+0.064672
+0.063456
+0.0622933
+0.061187
+0.0601401
+0.0591559
+0.0582374
+0.057388
+0.0566106
+0.0559083
+0.0552839
+0.0547402
+0.0542795
+0.0538967
+0.0536008
+0.0533932
+0.052864
+0.0513747
+0.049937
+0.0485557
+0.0472356
+0.0459821
+0.0448006
+0.0436971
+0.0426717
+0.0417241
+0.0408721
+0.0401217
+0.0394787
+0.0389486
+0.0385347
+0.0382386
+0.0380665
+0.0380201
+0.0380998
+0.0383025
+0.0386231
+0.0390642
+0.0396216
+0.0402906
+0.0410657
+0.041941
+0.0429104
+0.0439677
+0.0451005
+0.0463017
+0.0475735
+0.0488196
+0.0496407
+0.050527
+0.0514913
+0.0525293
+0.0536367
+0.0548094
+0.0560432
+0.0573342
+0.0586786
+0.0600728
+0.0615134
+0.0629973
+0.0645215
+0.0660831
+0.0676797
+0.0693063
+0.0709593
+0.0726408
+0.0743489
+0.0971064
+0.0968675
+0.0966777
+0.0965372
+0.0964463
+0.0964051
+0.0959922
+0.0955177
+0.0950914
+0.0947139
+0.0943857
+0.0941074
+0.0938793
+0.093702
+0.0935756
+0.0932373
+0.0914642
+0.0897095
+0.0879744
+0.0862601
+0.0845677
+0.0828986
+0.0812544
+0.0796365
+0.0780465
+0.0764862
+0.0749575
+0.0734623
+0.0720027
+0.0705809
+0.0691993
+0.0678603
+0.0665606
+0.0653062
+0.0641022
+0.0629514
+0.0618569
+0.0608215
+0.0598485
+0.0589409
+0.0581017
+0.057334
+0.0566407
+0.0560245
+0.055488
+0.0550336
+0.0546561
+0.0543643
+0.0541596
+0.0537244
+0.0522596
+0.050847
+0.0494911
+0.0481966
+0.0469687
+0.0458127
+0.0447342
+0.0437331
+0.042809
+0.041979
+0.0412487
+0.0406236
+0.0401086
+0.0397061
+0.0394188
+0.0392519
+0.0392069
+0.0392841
+0.0394815
+0.0397927
+0.0402209
+0.0407625
+0.0414131
+0.0421676
+0.0430205
+0.0439661
+0.0449985
+0.046106
+0.0472817
+0.0484866
+0.0492248
+0.0500412
+0.0509369
+0.0518935
+0.0529237
+0.054023
+0.0551875
+0.056413
+0.0576957
+0.0590319
+0.0604179
+0.0618505
+0.0633265
+0.064843
+0.066397
+0.0679862
+0.069608
+0.0712603
+0.0729374
+0.0746405
+0.0981387
+0.0979024
+0.0977146
+0.0975756
+0.0974856
+0.0974449
+0.097342
+0.0968742
+0.0964539
+0.0960817
+0.0957581
+0.0954838
+0.0952591
+0.0950843
+0.0949598
+0.0936214
+0.0919659
+0.090221
+0.0884959
+0.0867919
+0.08511
+0.0834519
+0.0818187
+0.0802122
+0.0786338
+0.0770855
+0.0755688
+0.074086
+0.0726389
+0.0712299
+0.0698611
+0.068535
+0.0672483
+0.066007
+0.0648161
+0.0636782
+0.0625963
+0.0615734
+0.0606125
+0.0597165
+0.0588884
+0.058131
+0.0574473
+0.0568399
+0.0563112
+0.0558634
+0.0554916
+0.0552042
+0.0550027
+0.0546591
+0.0532201
+0.0518336
+0.0505042
+0.0492364
+0.0480351
+0.0469054
+0.0458525
+0.0448764
+0.0439763
+0.0431688
+0.042459
+0.041852
+0.0413523
+0.0409612
+0.0406828
+0.0405211
+0.0404774
+0.0405523
+0.0407443
+0.0410459
+0.0414612
+0.0419868
+0.0426187
+0.0433522
+0.0441822
+0.0451035
+0.0461105
+0.0471919
+0.048319
+0.0489926
+0.0497233
+0.0505316
+0.0514206
+0.0523844
+0.053405
+0.0544947
+0.0556493
+0.0568649
+0.0581376
+0.0594638
+0.0608401
+0.0622629
+0.0637294
+0.0652365
+0.0667814
+0.0683616
+0.0699747
+0.0716185
+0.0732874
+0.0749831
+0.0992087
+0.0989749
+0.0987891
+0.0986517
+0.0985627
+0.0985224
+0.0985308
+0.0982607
+0.0978464
+0.0974795
+0.0971606
+0.0968903
+0.0966688
+0.0964966
+0.0953445
+0.0938961
+0.0924391
+0.0907825
+0.0890683
+0.0873754
+0.085705
+0.0840585
+0.0824374
+0.0808432
+0.0792774
+0.0777418
+0.0762383
+0.0747687
+0.0733351
+0.0719397
+0.0705847
+0.0692725
+0.0679997
+0.0667724
+0.0655953
+0.0644712
+0.0634029
+0.0623932
+0.0614451
+0.0605614
+0.059745
+0.0589987
+0.0583251
+0.0577269
+0.0572064
+0.0567656
+0.0563997
+0.056117
+0.0559187
+0.0556644
+0.054252
+0.0528926
+0.0515905
+0.0503501
+0.049176
+0.0480731
+0.0470464
+0.0460955
+0.0452197
+0.0444348
+0.0437455
+0.0431566
+0.0426722
+0.0422926
+0.042023
+0.0418665
+0.0418243
+0.0418967
+0.0420832
+0.0423754
+0.0427777
+0.0432874
+0.0439005
+0.044613
+0.04542
+0.0463166
+0.0472978
+0.0483497
+0.0489249
+0.0495903
+0.0503124
+0.0511114
+0.0519904
+0.0529456
+0.0539711
+0.0550496
+0.0561928
+0.0573968
+0.058658
+0.0599728
+0.0613376
+0.0627492
+0.0642045
+0.0657007
+0.0672349
+0.0688047
+0.0704077
+0.0720416
+0.073701
+0.0753873
+0.100315
+0.100084
+0.0999002
+0.0997642
+0.0996763
+0.0996364
+0.0996447
+0.0996761
+0.0992677
+0.0989061
+0.0985918
+0.0983254
+0.0981072
+0.0971359
+0.0956645
+0.0942209
+0.0927941
+0.0913042
+0.0896905
+0.0880095
+0.0863514
+0.0847175
+0.0831093
+0.0815282
+0.0799758
+0.0784539
+0.0769643
+0.0755088
+0.0740896
+0.0727086
+0.0713682
+0.0700707
+0.0688127
+0.0676002
+0.0664377
+0.0653281
+0.064274
+0.0632783
+0.0623436
+0.0614728
+0.0606687
+0.0599339
+0.059271
+0.0586824
+0.0581704
+0.0577341
+0.0573743
+0.0570964
+0.0569016
+0.0567365
+0.0553515
+0.0540198
+0.0527455
+0.0515328
+0.0503863
+0.0493105
+0.0483101
+0.0473846
+0.0465331
+0.0457706
+0.0451018
+0.0445309
+0.0440615
+0.0436933
+0.0434324
+0.043281
+0.0432402
+0.0433102
+0.0434907
+0.0437741
+0.0441638
+0.0446576
+0.0452522
+0.0459437
+0.0467277
+0.0475997
+0.048555
+0.0490532
+0.0496203
+0.0502765
+0.0509888
+0.0517774
+0.0526453
+0.0535888
+0.0546039
+0.0556852
+0.0568156
+0.0580067
+0.0592549
+0.0605567
+0.0619086
+0.0633075
+0.0647503
+0.0662341
+0.0677563
+0.0693143
+0.0709058
+0.0725285
+0.0741769
+0.0758526
+0.101457
+0.101228
+0.101047
+0.100912
+0.100825
+0.100786
+0.100794
+0.10085
+0.100717
+0.10036
+0.100051
+0.099788
+0.0989919
+0.0974992
+0.0960333
+0.0945954
+0.0931868
+0.0917159
+0.0902602
+0.0886933
+0.0870482
+0.0854277
+0.083833
+0.0822658
+0.0807277
+0.0792202
+0.0777453
+0.0763047
+0.0749005
+0.0735348
+0.0722097
+0.0709276
+0.0696851
+0.068488
+0.0673409
+0.0662464
+0.0652072
+0.0642259
+0.0633052
+0.0624478
+0.0616564
+0.0609335
+0.0602816
+0.059703
+0.0591998
+0.0587683
+0.0584149
+0.058142
+0.0579506
+0.0578417
+0.0565145
+0.0552109
+0.0539647
+0.0527801
+0.0516612
+0.0506125
+0.0496384
+0.0487381
+0.0479106
+0.0471705
+0.0465218
+0.0459685
+0.0455134
+0.0451569
+0.0449045
+0.0447581
+0.0447186
+0.0447864
+0.0449609
+0.0452358
+0.045613
+0.0460913
+0.0466676
+0.0473384
+0.0480997
+0.0489473
+0.0493749
+0.0498421
+0.0504003
+0.0510465
+0.0517492
+0.0525263
+0.0533821
+0.0543128
+0.0553146
+0.0563838
+0.0575151
+0.0586921
+0.059926
+0.0612135
+0.0625512
+0.063936
+0.065365
+0.0668352
+0.068344
+0.0698889
+0.0714675
+0.0730777
+0.0747141
+0.076378
+0.102632
+0.102406
+0.102227
+0.102094
+0.102008
+0.101969
+0.101977
+0.102032
+0.102135
+0.101841
+0.101536
+0.100909
+0.0993967
+0.0979102
+0.0964505
+0.0950189
+0.0936167
+0.0921728
+0.0907244
+0.0893023
+0.0877942
+0.0861876
+0.0846073
+0.0830547
+0.0815314
+0.0800391
+0.0785796
+0.0771546
+0.0757662
+0.0744163
+0.0731072
+0.0718411
+0.0706147
+0.0694336
+0.0683024
+0.0672236
+0.0661997
+0.0652333
+0.064327
+0.0634835
+0.0627051
+0.0619945
+0.0613538
+0.0607854
+0.0602893
+0.0598648
+0.0595179
+0.0592501
+0.0590623
+0.0589555
+0.0577372
+0.0564618
+0.0552439
+0.0540873
+0.0529961
+0.0519743
+0.0510262
+0.0501508
+0.049347
+0.0486288
+0.0479998
+0.0474637
+0.0470225
+0.0466775
+0.0464334
+0.0462917
+0.0462536
+0.0463191
+0.0464879
+0.0467544
+0.0471195
+0.0475826
+0.0481411
+0.0487916
+0.0495306
+0.0498744
+0.0502415
+0.0507008
+0.0512496
+0.0518852
+0.0525899
+0.0533548
+0.0541975
+0.0551144
+0.0561019
+0.0571564
+0.0582742
+0.0594503
+0.0606688
+0.0619409
+0.0632632
+0.0646328
+0.0660466
+0.067502
+0.0689962
+0.0705268
+0.0720915
+0.0736881
+0.0753112
+0.0769622
+0.103841
+0.103618
+0.10344
+0.103309
+0.103224
+0.103186
+0.103194
+0.103246
+0.103338
+0.103346
+0.102883
+0.101353
+0.0998479
+0.0983682
+0.0969154
+0.0954908
+0.0940956
+0.0926792
+0.0912388
+0.0898249
+0.0884427
+0.0869961
+0.0854308
+0.0838934
+0.0823857
+0.0809091
+0.0794655
+0.0780567
+0.0766846
+0.0753512
+0.0740587
+0.0728091
+0.0715992
+0.0704347
+0.0693198
+0.0682571
+0.0672489
+0.0662978
+0.0654063
+0.0645769
+0.0638119
+0.0631136
+0.0624845
+0.0619265
+0.0614368
+0.0610203
+0.06068
+0.0604173
+0.0602332
+0.0601284
+0.059016
+0.0577688
+0.056579
+0.0554503
+0.0543864
+0.0533913
+0.0524687
+0.0516178
+0.0508373
+0.0501404
+0.0495306
+0.0490112
+0.0485834
+0.0482496
+0.0480135
+0.0478765
+0.0478396
+0.047903
+0.0480662
+0.0483247
+0.0486779
+0.0491264
+0.0496675
+0.0502983
+0.0505591
+0.050827
+0.0511873
+0.0516381
+0.0521771
+0.0528015
+0.0535072
+0.0542591
+0.055088
+0.0559903
+0.0569627
+0.0580015
+0.0591033
+0.0602646
+0.0614793
+0.0627363
+0.0640423
+0.0653955
+0.0667932
+0.0682326
+0.0697112
+0.0712264
+0.0727761
+0.074358
+0.0759667
+0.0776038
+0.105082
+0.104861
+0.104685
+0.104556
+0.104472
+0.104433
+0.104432
+0.104477
+0.104568
+0.104705
+0.103365
+0.101843
+0.100345
+0.0988726
+0.0974274
+0.0960104
+0.0946228
+0.0932344
+0.0918026
+0.0903976
+0.0890242
+0.0876841
+0.086302
+0.0847805
+0.0832887
+0.0818285
+0.0804014
+0.0790093
+0.077654
+0.0763376
+0.075062
+0.0738294
+0.0726365
+0.0714889
+0.0703907
+0.0693444
+0.0683523
+0.0674168
+0.0665403
+0.0657251
+0.0649736
+0.064288
+0.0636705
+0.0631218
+0.0626399
+0.0622314
+0.0618979
+0.0616404
+0.0614599
+0.0613572
+0.0603472
+0.0591281
+0.0579662
+0.056865
+0.0558281
+0.0548591
+0.0539617
+0.0531347
+0.0523768
+0.0517006
+0.0511086
+0.0506028
+0.0501869
+0.0498637
+0.0496353
+0.0495028
+0.0494672
+0.0495284
+0.0496863
+0.0499399
+0.0502836
+0.0507179
+0.0512422
+0.0514217
+0.0515922
+0.0518547
+0.0522079
+0.05265
+0.0531787
+0.0537916
+0.0544856
+0.0552356
+0.05605
+0.0569371
+0.0578935
+0.0589159
+0.0600009
+0.0611452
+0.0623428
+0.0635846
+0.0648766
+0.0662159
+0.0675968
+0.0690195
+0.0704815
+0.0719805
+0.0735143
+0.0750806
+0.0766776
+0.0783015
+0.106353
+0.106134
+0.105961
+0.105833
+0.105742
+0.105696
+0.105695
+0.105739
+0.105829
+0.105423
+0.103892
+0.102377
+0.100887
+0.0994228
+0.0979857
+0.0965768
+0.0951976
+0.0938292
+0.092415
+0.0910193
+0.0896555
+0.088325
+0.0870293
+0.0857143
+0.0842391
+0.0827956
+0.0813855
+0.0800105
+0.0786725
+0.0773734
+0.0761152
+0.0748999
+0.0737244
+0.0725939
+0.0715127
+0.0704831
+0.0695072
+0.0685874
+0.0677261
+0.0669254
+0.0661875
+0.0655146
+0.0649087
+0.064368
+0.0638955
+0.0634951
+0.0631682
+0.0629159
+0.0627391
+0.0626385
+0.0617216
+0.0605303
+0.0593958
+0.0583216
+0.057311
+0.0563675
+0.0554945
+0.0546907
+0.0539514
+0.053292
+0.0527154
+0.0522244
+0.0518215
+0.0515086
+0.0512875
+0.0511593
+0.0511248
+0.0511841
+0.0513368
+0.0515823
+0.0519191
+0.0523455
+0.0524473
+0.0525292
+0.0526961
+0.0529532
+0.0532991
+0.0537322
+0.0542504
+0.0548512
+0.055532
+0.056275
+0.0570799
+0.0579513
+0.0588912
+0.0598966
+0.0609642
+0.0620907
+0.0632704
+0.0644943
+0.0657684
+0.0670899
+0.068456
+0.0698631
+0.0713079
+0.0727899
+0.074307
+0.0758569
+0.0774379
+0.0790479
+0.107653
+0.107438
+0.10726
+0.107125
+0.107035
+0.106989
+0.106988
+0.107032
+0.10712
+0.105979
+0.104461
+0.102955
+0.101474
+0.100018
+0.0985895
+0.0971894
+0.095819
+0.0944692
+0.0930728
+0.0916893
+0.0903356
+0.0890152
+0.0877297
+0.0864805
+0.0852352
+0.0838089
+0.0824161
+0.0810586
+0.0797382
+0.0784567
+0.0772161
+0.0760185
+0.0748605
+0.0737475
+0.0726834
+0.0716706
+0.0707111
+0.0698072
+0.0689611
+0.0681749
+0.0674507
+0.0667906
+0.0661961
+0.0656637
+0.0652006
+0.0648082
+0.064488
+0.0642409
+0.0640678
+0.0639692
+0.0631414
+0.0619773
+0.0608699
+0.0598221
+0.0588373
+0.0579187
+0.0570694
+0.0562798
+0.0555616
+0.0549215
+0.0543622
+0.0538863
+0.0534958
+0.0531928
+0.0529787
+0.0528547
+0.0528212
+0.0528786
+0.0530265
+0.0532642
+0.0535904
+0.0536201
+0.0536221
+0.0537032
+0.0538665
+0.054118
+0.0544566
+0.0548805
+0.055388
+0.0559766
+0.0566414
+0.0573684
+0.0581689
+0.0590293
+0.0599524
+0.0609403
+0.0619898
+0.0630981
+0.0642593
+0.0654647
+0.0667203
+0.0680233
+0.069371
+0.0707609
+0.0721905
+0.0736555
+0.0751551
+0.076688
+0.0782521
+0.0798457
+0.108978
+0.108756
+0.108579
+0.108445
+0.108356
+0.10831
+0.108309
+0.108353
+0.108101
+0.106573
+0.10507
+0.103576
+0.102104
+0.100657
+0.099238
+0.0978472
+0.0964861
+0.0951488
+0.0937692
+0.0924063
+0.0910633
+0.0897536
+0.0884788
+0.0872404
+0.0860399
+0.0848666
+0.0834915
+0.0821517
+0.0808492
+0.0795856
+0.0783629
+0.077183
+0.0760428
+0.0749473
+0.0739006
+0.0729046
+0.0719616
+0.0710736
+0.0702428
+0.0694711
+0.0687605
+0.0681131
+0.0675278
+0.0670059
+0.0665522
+0.0661678
+0.0658542
+0.0656122
+0.0654427
+0.0653463
+0.0646043
+0.0634671
+0.062386
+0.0613642
+0.0604046
+0.0595101
+0.0586794
+0.0579082
+0.0572105
+0.056589
+0.0560464
+0.0555848
+0.0552064
+0.0549128
+0.0547055
+0.0545853
+0.0545529
+0.0546085
+0.0547517
+0.0549819
+0.0549427
+0.0548573
+0.0548593
+0.0549396
+0.0550992
+0.0553451
+0.0556762
+0.056091
+0.0565876
+0.0571638
+0.0578109
+0.0585234
+0.0593084
+0.0601629
+0.0610737
+0.0620438
+0.063075
+0.0641644
+0.0653067
+0.0664931
+0.0677297
+0.0690136
+0.0703424
+0.0717134
+0.0731244
+0.0745731
+0.076057
+0.077572
+0.0791187
+0.0806952
+0.110319
+0.1101
+0.109925
+0.109793
+0.109705
+0.10966
+0.109659
+0.109702
+0.108728
+0.10721
+0.105715
+0.10424
+0.102777
+0.10134
+0.0999303
+0.0985493
+0.097198
+0.095862
+0.0945113
+0.093167
+0.0918374
+0.090539
+0.0892754
+0.0880482
+0.0868589
+0.0857091
+0.0846004
+0.0832882
+0.0820037
+0.0807581
+0.0795535
+0.0783915
+0.0772691
+0.0761913
+0.0751619
+0.0741829
+0.0732563
+0.0723842
+0.0715686
+0.0708113
+0.0701144
+0.0694795
+0.0689034
+0.068392
+0.0679475
+0.0675711
+0.067264
+0.0670271
+0.0668612
+0.0667668
+0.0661074
+0.0649965
+0.0639413
+0.0629447
+0.0620096
+0.0611386
+0.0603225
+0.0595726
+0.0588946
+0.0582911
+0.0577645
+0.0573167
+0.0569498
+0.0566653
+0.0564644
+0.056348
+0.0563166
+0.0563704
+0.0565092
+0.0563986
+0.0562362
+0.0561527
+0.0561547
+0.0562342
+0.0563901
+0.0566304
+0.056954
+0.0573595
+0.0578452
+0.0584091
+0.0590386
+0.0597365
+0.0605057
+0.0613435
+0.0622472
+0.0632035
+0.0642161
+0.0652865
+0.0664099
+0.067577
+0.068794
+0.0700585
+0.0713678
+0.0727195
+0.0741113
+0.0755411
+0.0770066
+0.0785059
+0.0800358
+0.0815946
+0.111687
+0.111471
+0.111298
+0.111168
+0.11108
+0.111036
+0.111035
+0.110922
+0.10939
+0.107881
+0.106396
+0.104935
+0.103492
+0.102065
+0.100666
+0.0992948
+0.097947
+0.0966184
+0.0952979
+0.0939649
+0.0926569
+0.0913701
+0.0901182
+0.0889026
+0.0877249
+0.0865866
+0.0854893
+0.0844346
+0.0831998
+0.0819725
+0.0807859
+0.0796419
+0.0785374
+0.0774772
+0.0764651
+0.075503
+0.0745929
+0.0737366
+0.072936
+0.0721931
+0.0715097
+0.0708854
+0.0703203
+0.0698193
+0.069384
+0.0690154
+0.0687148
+0.0684829
+0.0683205
+0.0682282
+0.0676481
+0.0665629
+0.0655329
+0.0645609
+0.0636495
+0.062797
+0.0619996
+0.0612701
+0.0606111
+0.0600249
+0.0595136
+0.0590791
+0.0587232
+0.0584473
+0.0582526
+0.0581397
+0.0581094
+0.0581615
+0.0579755
+0.0577446
+0.057584
+0.0575024
+0.0575043
+0.0575803
+0.0577326
+0.0579674
+0.0582836
+0.0586799
+0.0591548
+0.0597063
+0.0603209
+0.0610041
+0.0617575
+0.0625786
+0.0634647
+0.0644062
+0.0654002
+0.0664515
+0.0675576
+0.0687136
+0.0699108
+0.0711554
+0.0724449
+0.0737769
+0.0751492
+0.0765595
+0.0780059
+0.0794864
+0.080999
+0.0825421
+0.113081
+0.112868
+0.112697
+0.112568
+0.112482
+0.112438
+0.112437
+0.111614
+0.110092
+0.108592
+0.107117
+0.105666
+0.104242
+0.102832
+0.101443
+0.100083
+0.098736
+0.0974182
+0.0961281
+0.0948068
+0.0935179
+0.0922431
+0.0910032
+0.0897996
+0.0886338
+0.0875073
+0.0864217
+0.0853785
+0.0843587
+0.0832268
+0.0820583
+0.0809323
+0.0798457
+0.0788031
+0.0778082
+0.0768629
+0.0759691
+0.0751285
+0.0743429
+0.0736142
+0.0729441
+0.0723299
+0.0717761
+0.0712854
+0.0708591
+0.0704982
+0.0702039
+0.069977
+0.0698181
+0.0697277
+0.0692238
+0.0681637
+0.0671583
+0.0662102
+0.0653218
+0.0644841
+0.0637078
+0.0629981
+0.0623574
+0.0617877
+0.0612911
+0.0608693
+0.060524
+0.0602563
+0.0600674
+0.059958
+0.0599286
+0.0596718
+0.0593667
+0.0591412
+0.0589823
+0.0589028
+0.0589046
+0.0589758
+0.0591245
+0.0593538
+0.0596626
+0.0600498
+0.060514
+0.0610532
+0.0616544
+0.062323
+0.0630607
+0.063865
+0.0647335
+0.0656598
+0.0666351
+0.0676673
+0.0687538
+0.0698921
+0.0710777
+0.0723022
+0.0735715
+0.0748835
+0.0762358
+0.0776265
+0.0790533
+0.0805145
+0.0820082
+0.0835326
+0.1145
+0.11429
+0.114121
+0.113994
+0.113908
+0.113865
+0.113864
+0.112344
+0.110832
+0.109343
+0.107878
+0.106438
+0.105023
+0.103636
+0.10226
+0.100902
+0.099567
+0.0982603
+0.0969855
+0.0956913
+0.0944147
+0.0931577
+0.0919301
+0.0907388
+0.0895852
+0.0884709
+0.0873972
+0.0863658
+0.0853619
+0.0843872
+0.0833689
+0.0822609
+0.081192
+0.0801669
+0.0791892
+0.0782606
+0.0773829
+0.0765578
+0.0757871
+0.0750724
+0.0744143
+0.0738111
+0.0732686
+0.0727879
+0.0723704
+0.0720171
+0.0717291
+0.071507
+0.0713515
+0.071263
+0.0708323
+0.0697966
+0.068815
+0.06789
+0.0670197
+0.0662007
+0.0654447
+0.0647541
+0.0641309
+0.0635772
+0.0630946
+0.062685
+0.0623497
+0.0620899
+0.0619066
+0.0618005
+0.0614775
+0.0611029
+0.060805
+0.0605846
+0.0604278
+0.0603501
+0.0603519
+0.0604185
+0.0605637
+0.0607875
+0.0610891
+0.0614674
+0.0619208
+0.0624479
+0.0630358
+0.0636899
+0.0644119
+0.0651996
+0.0660505
+0.0669616
+0.0679182
+0.0689312
+0.0699981
+0.0711165
+0.0722839
+0.0734963
+0.0747454
+0.0760371
+0.0773693
+0.0787399
+0.0801469
+0.0815886
+0.0830629
+0.0845683
+0.115943
+0.115735
+0.115568
+0.115443
+0.115359
+0.115316
+0.114636
+0.113112
+0.111611
+0.110132
+0.108678
+0.107248
+0.105845
+0.104468
+0.103108
+0.101762
+0.100439
+0.0991437
+0.0978804
+0.0966175
+0.0953533
+0.0941144
+0.0928994
+0.0917207
+0.0905797
+0.0894777
+0.0884163
+0.0873969
+0.0864091
+0.0854463
+0.0845294
+0.0836257
+0.0825745
+0.0815668
+0.080606
+0.0796939
+0.0788322
+0.0780224
+0.0772663
+0.0765654
+0.075918
+0.0753269
+0.0747954
+0.0743246
+0.0739158
+0.0735699
+0.0732879
+0.0730706
+0.0729184
+0.0728319
+0.0724712
+0.0714593
+0.0705009
+0.0695983
+0.0687428
+0.0679445
+0.0672082
+0.0665359
+0.0659296
+0.065391
+0.064922
+0.064524
+0.0641982
+0.063946
+0.063768
+0.0633832
+0.0629438
+0.062578
+0.0622871
+0.0620701
+0.061917
+0.0618412
+0.0618408
+0.0619052
+0.0620468
+0.0622653
+0.0625598
+0.0629292
+0.0633722
+0.0638873
+0.0644621
+0.0651019
+0.0658084
+0.0665795
+0.0674131
+0.0683067
+0.0692469
+0.0702407
+0.071288
+0.0723864
+0.0735338
+0.0747277
+0.0759643
+0.0772356
+0.0785475
+0.0798979
+0.0812849
+0.0827067
+0.0841615
+0.0856476
+0.11741
+0.117204
+0.117039
+0.116915
+0.116832
+0.11679
+0.115431
+0.113917
+0.112426
+0.110959
+0.109515
+0.108097
+0.106705
+0.10534
+0.103996
+0.102661
+0.101351
+0.100067
+0.0988158
+0.097584
+0.0963325
+0.0951119
+0.0939099
+0.092744
+0.0916157
+0.0905263
+0.0894774
+0.0884683
+0.087498
+0.0865479
+0.0856428
+0.0847798
+0.083958
+0.0830008
+0.0820569
+0.0811611
+0.0803151
+0.0795204
+0.0787787
+0.078091
+0.0774546
+0.0768753
+0.0763545
+0.0758934
+0.0754931
+0.0751545
+0.0748785
+0.0746658
+0.0745169
+0.0744322
+0.0741387
+0.0731498
+0.0722139
+0.0713289
+0.0704919
+0.0697136
+0.0689962
+0.0683415
+0.0677513
+0.0672273
+0.0667712
+0.0663843
+0.0660677
+0.0658226
+0.0653803
+0.0648805
+0.0644512
+0.064094
+0.0638101
+0.0635963
+0.0634469
+0.063373
+0.0633698
+0.0634326
+0.0635709
+0.0637842
+0.0640716
+0.0644324
+0.0648651
+0.0653685
+0.0659304
+0.066556
+0.0672473
+0.0680021
+0.0688184
+0.069694
+0.0706186
+0.0715933
+0.0726211
+0.0736997
+0.0748269
+0.0760005
+0.0772185
+0.078477
+0.0797685
+0.0810985
+0.0824654
+0.0838671
+0.0853021
+0.0867687
+0.118898
+0.118695
+0.118532
+0.11841
+0.118328
+0.117784
+0.11626
+0.114758
+0.113278
+0.111822
+0.11039
+0.108983
+0.107602
+0.106248
+0.104922
+0.103599
+0.102301
+0.10103
+0.0997905
+0.0985842
+0.0973512
+0.0961466
+0.0949601
+0.0938073
+0.0926919
+0.0916154
+0.0905776
+0.0895766
+0.0886184
+0.0876881
+0.086794
+0.0859368
+0.0851262
+0.0843514
+0.08354
+0.0826603
+0.0818298
+0.08105
+0.0803224
+0.0796459
+0.079022
+0.0784543
+0.077944
+0.0774924
+0.0771004
+0.0767689
+0.0764987
+0.0762905
+0.0761448
+0.0760619
+0.0758327
+0.0748663
+0.0739521
+0.0730817
+0.072265
+0.071506
+0.0708068
+0.0701689
+0.0695943
+0.0690843
+0.0686405
+0.0682642
+0.0679564
+0.0674606
+0.0669046
+0.0664162
+0.0659969
+0.0656482
+0.065371
+0.0651605
+0.0650147
+0.0649425
+0.0649367
+0.064998
+0.065133
+0.0653411
+0.0656218
+0.0659741
+0.0663968
+0.0668886
+0.0674378
+0.0680496
+0.0687258
+0.0694646
+0.0702639
+0.0711217
+0.0720307
+0.0729866
+0.0739951
+0.0750539
+0.0761611
+0.0773144
+0.078512
+0.0797518
+0.0810303
+0.08234
+0.0836865
+0.0850682
+0.0864832
+0.0879301
+0.0963887
+0.0945907
+0.0928096
+0.0910464
+0.0893021
+0.0875778
+0.0858749
+0.0841944
+0.0825379
+0.0809069
+0.0793028
+0.0777268
+0.0761792
+0.0746639
+0.0731827
+0.0717379
+0.0703317
+0.068963
+0.0676301
+0.0663428
+0.0651038
+0.0639159
+0.062782
+0.061705
+0.060688
+0.0597341
+0.0588463
+0.0580276
+0.0572811
+0.0566096
+0.0560157
+0.0555021
+0.0550708
+0.0547239
+0.054463
+0.0542893
+0.0542036
+0.0542064
+0.0542977
+0.0544615
+0.054711
+0.0550467
+0.0554669
+0.0559698
+0.0565531
+0.0572144
+0.057951
+0.0587601
+0.0596387
+0.0605838
+0.0615924
+0.0626614
+0.0637869
+0.0649554
+0.0661755
+0.0674447
+0.0687604
+0.0701197
+0.0715204
+0.07296
+0.0744361
+0.0759469
+0.07749
+0.0790638
+0.0806664
+0.0822958
+0.0839496
+0.0856276
+0.0873282
+0.0890503
+0.0907925
+0.0925538
+0.0943331
+0.0961294
+0.0979418
+0.0997693
+0.101611
+0.103467
+0.105335
+0.10699
+0.108296
+0.109631
+0.110992
+0.11238
+0.113793
+0.115231
+0.116692
+0.118175
+0.11968
+0.120404
+0.121013
+0.121658
+0.122339
+0.123055
+0.123806
+0.124591
+0.12541
+0.126206
+0.126998
+0.127761
+0.0955144
+0.0936996
+0.0919012
+0.0901202
+0.0883576
+0.0866146
+0.0848923
+0.083192
+0.0815152
+0.0798632
+0.0782377
+0.0766398
+0.0750699
+0.0735317
+0.0720272
+0.0705588
+0.0691285
+0.067739
+0.066392
+0.0650803
+0.0638167
+0.0626044
+0.0614462
+0.0603454
+0.0593051
+0.0583286
+0.0574191
+0.0565798
+0.0558139
+0.0551245
+0.0545145
+0.0539866
+0.0535431
+0.0531862
+0.0529177
+0.0527389
+0.0526508
+0.0526537
+0.0527476
+0.0529321
+0.0531905
+0.0535356
+0.0539676
+0.0544843
+0.0550834
+0.0557621
+0.0565176
+0.0573469
+0.0582469
+0.0592142
+0.0602458
+0.0613382
+0.0624876
+0.0636799
+0.064924
+0.0662172
+0.0675567
+0.0689399
+0.070364
+0.0718267
+0.0733258
+0.0748589
+0.076424
+0.0780193
+0.0796429
+0.0812929
+0.0829667
+0.0846641
+0.0863837
+0.0881242
+0.0898844
+0.0916632
+0.0934594
+0.0952722
+0.0971005
+0.0989436
+0.100801
+0.102671
+0.104028
+0.105325
+0.106652
+0.108007
+0.109389
+0.110797
+0.11223
+0.113687
+0.115167
+0.11667
+0.118195
+0.119322
+0.119936
+0.120587
+0.121275
+0.121997
+0.122755
+0.12347
+0.124213
+0.124991
+0.125802
+0.126583
+0.0946826
+0.0928516
+0.0910365
+0.0892382
+0.0874579
+0.0856965
+0.0839554
+0.0822358
+0.080539
+0.0788666
+0.0772201
+0.0756007
+0.0740087
+0.072448
+0.0709206
+0.0694287
+0.0679747
+0.0665611
+0.0651904
+0.0638655
+0.0625799
+0.0613431
+0.0601607
+0.0590359
+0.0579721
+0.0569727
+0.0560412
+0.055181
+0.0543954
+0.0536878
+0.0530613
+0.0525187
+0.0520627
+0.0516957
+0.0514194
+0.0512353
+0.0511446
+0.0511476
+0.0512443
+0.0514342
+0.0517163
+0.0520723
+0.0525163
+0.0530471
+0.0536622
+0.0543587
+0.0551335
+0.0559833
+0.0569048
+0.0578946
+0.0589492
+0.0600652
+0.0612391
+0.0624552
+0.0637232
+0.0650403
+0.0664036
+0.0678102
+0.0692576
+0.0707432
+0.0722647
+0.0738199
+0.0754066
+0.077023
+0.0786671
+0.0803371
+0.0820304
+0.0837468
+0.0854849
+0.0872433
+0.089021
+0.0908166
+0.0926293
+0.094458
+0.0963018
+0.0981599
+0.0998171
+0.101074
+0.102362
+0.10368
+0.105027
+0.106403
+0.107805
+0.109234
+0.110687
+0.112164
+0.113665
+0.115187
+0.116725
+0.11827
+0.118891
+0.119548
+0.120223
+0.120867
+0.121548
+0.122264
+0.123015
+0.1238
+0.124595
+0.12533
+0.0938947
+0.092048
+0.0902167
+0.0884018
+0.0866042
+0.0848251
+0.0830657
+0.0813273
+0.0796112
+0.0779188
+0.0762519
+0.0746115
+0.072998
+0.0714151
+0.0698651
+0.0683502
+0.0668728
+0.0654353
+0.0640406
+0.0626913
+0.0613906
+0.060133
+0.0589263
+0.0577775
+0.0566901
+0.0556677
+0.054714
+0.0538326
+0.053027
+0.0523009
+0.0516576
+0.0511001
+0.0506313
+0.0502538
+0.0499696
+0.0497802
+0.0496867
+0.0496898
+0.0497894
+0.0499848
+0.0502751
+0.0506437
+0.0511002
+0.0516456
+0.0522771
+0.0529918
+0.0537863
+0.0546571
+0.0556006
+0.0566132
+0.0576912
+0.0588311
+0.0600293
+0.0612824
+0.0625761
+0.0639169
+0.0653036
+0.0667334
+0.0682037
+0.0697117
+0.0712553
+0.072832
+0.0744398
+0.0760767
+0.0777408
+0.0794303
+0.0811426
+0.0828773
+0.0846333
+0.086409
+0.0882035
+0.0900155
+0.0918439
+0.093688
+0.0955466
+0.0968834
+0.0981286
+0.0994065
+0.100716
+0.102055
+0.103424
+0.104821
+0.106244
+0.107693
+0.109167
+0.110664
+0.112185
+0.113708
+0.115252
+0.116817
+0.117822
+0.118399
+0.119013
+0.119664
+0.120351
+0.121074
+0.121832
+0.122608
+0.123314
+0.124055
+0.0931516
+0.0912898
+0.089443
+0.0876121
+0.085798
+0.0840018
+0.0822248
+0.0804682
+0.0787334
+0.0770218
+0.075335
+0.0736742
+0.0720396
+0.0704353
+0.0688632
+0.0673258
+0.0658253
+0.0643645
+0.062946
+0.0615728
+0.060248
+0.0589748
+0.0577487
+0.0565759
+0.055465
+0.0544196
+0.0534436
+0.0525408
+0.0517152
+0.0509704
+0.05031
+0.0497375
+0.0492558
+0.0488676
+0.0485752
+0.0483804
+0.0482842
+0.0482874
+0.0483898
+0.0485909
+0.0488895
+0.0492712
+0.0497402
+0.0503004
+0.0509486
+0.0516817
+0.052496
+0.0533878
+0.0543533
+0.0553887
+0.0564901
+0.0576538
+0.058876
+0.0601531
+0.0614741
+0.062841
+0.0642535
+0.0657087
+0.0672038
+0.0687346
+0.0702996
+0.0718973
+0.0735255
+0.0751823
+0.0768659
+0.0785738
+0.0803043
+0.0820568
+0.0838299
+0.0856223
+0.0874329
+0.0892605
+0.0911042
+0.0927429
+0.093951
+0.0951932
+0.0964602
+0.0977599
+0.099091
+0.100452
+0.101842
+0.10326
+0.104705
+0.106175
+0.10767
+0.109176
+0.110696
+0.112239
+0.113802
+0.115371
+0.116615
+0.117197
+0.117817
+0.118475
+0.119169
+0.119899
+0.120665
+0.121344
+0.122057
+0.122806
+0.0924544
+0.0905784
+0.0887167
+0.0868705
+0.0850406
+0.0832281
+0.0814342
+0.0796601
+0.0779073
+0.0761771
+0.0744712
+0.0727907
+0.0711359
+0.0695106
+0.0679172
+0.0663579
+0.064835
+0.0633513
+0.0619096
+0.0605129
+0.0591643
+0.0578673
+0.0566253
+0.0554349
+0.0543006
+0.0532324
+0.0522342
+0.0513102
+0.0504644
+0.0497009
+0.0490234
+0.0484356
+0.0479408
+0.0475419
+0.0472414
+0.047041
+0.0469421
+0.0469454
+0.0470507
+0.0472575
+0.0475644
+0.0479595
+0.0484412
+0.0490162
+0.0496812
+0.0504327
+0.0512668
+0.0521797
+0.0531672
+0.0542252
+0.0553498
+0.0565369
+0.0577827
+0.0590835
+0.0604279
+0.0618179
+0.0632532
+0.0647309
+0.0662481
+0.0678021
+0.0693905
+0.0710109
+0.0726613
+0.0743396
+0.0760417
+0.0777668
+0.0795149
+0.0812844
+0.083074
+0.0848824
+0.0867084
+0.088551
+0.0898339
+0.0910279
+0.0922585
+0.0935237
+0.0948131
+0.0961351
+0.0974884
+0.0988717
+0.100284
+0.101723
+0.10319
+0.104676
+0.106171
+0.107689
+0.109227
+0.110774
+0.112343
+0.113932
+0.115433
+0.116021
+0.116648
+0.117312
+0.118013
+0.11875
+0.11942
+0.120104
+0.120825
+0.121581
+0.0918043
+0.0899146
+0.088039
+0.0861782
+0.0843333
+0.0825052
+0.0806953
+0.0789046
+0.0771346
+0.0753867
+0.0736625
+0.0719631
+0.0702888
+0.0686435
+0.0670295
+0.065449
+0.0639045
+0.0623987
+0.0609344
+0.0595148
+0.0581431
+0.0568228
+0.0555575
+0.054351
+0.053201
+0.0521103
+0.0510901
+0.050145
+0.0492793
+0.0484971
+0.0478026
+0.0471996
+0.0466917
+0.046282
+0.0459732
+0.0457673
+0.0456657
+0.045669
+0.0457773
+0.0459898
+0.0463051
+0.0467137
+0.0472082
+0.047798
+0.0484797
+0.0492495
+0.0501034
+0.051037
+0.0520462
+0.0531266
+0.0542739
+0.055484
+0.056753
+0.0580769
+0.059444
+0.0608565
+0.062314
+0.0638134
+0.0653519
+0.0669267
+0.0685354
+0.0701756
+0.0718451
+0.073542
+0.0752645
+0.0770107
+0.0787781
+0.0805638
+0.082369
+0.0841926
+0.085799
+0.086938
+0.0881168
+0.0893337
+0.0905873
+0.091876
+0.0931884
+0.0945331
+0.095909
+0.0973147
+0.0987491
+0.100211
+0.10168
+0.103171
+0.104682
+0.106205
+0.107751
+0.109319
+0.110908
+0.112517
+0.114146
+0.114875
+0.115508
+0.116179
+0.116887
+0.117541
+0.118197
+0.118889
+0.119617
+0.12038
+0.0912021
+0.0892997
+0.0874109
+0.0855364
+0.0836773
+0.0818347
+0.0800095
+0.0782032
+0.0764169
+0.0746522
+0.0729106
+0.0711933
+0.0695004
+0.0678361
+0.0662023
+0.0646016
+0.0630363
+0.0615093
+0.0600234
+0.0585817
+0.0571876
+0.0558447
+0.0545567
+0.0533276
+0.0521616
+0.0510575
+0.0500159
+0.0490501
+0.0481647
+0.0473641
+0.0466527
+0.0460347
+0.0455138
+0.0450934
+0.0447764
+0.044565
+0.0444606
+0.044464
+0.0445753
+0.0447935
+0.0451171
+0.0455393
+0.0460464
+0.0466509
+0.0473491
+0.048137
+0.0490103
+0.0499643
+0.0509947
+0.0520969
+0.0532664
+0.054499
+0.0557903
+0.0571365
+0.0585256
+0.0599597
+0.0614385
+0.0629588
+0.0645176
+0.0661124
+0.0677404
+0.0693993
+0.0710871
+0.0728017
+0.0745412
+0.076304
+0.0780874
+0.0798885
+0.0817087
+0.0829358
+0.0840565
+0.0852188
+0.0864211
+0.0876616
+0.0889387
+0.090251
+0.0915872
+0.0929551
+0.094354
+0.0957826
+0.0972282
+0.0986894
+0.10017
+0.101666
+0.103187
+0.104732
+0.106299
+0.107888
+0.109498
+0.111128
+0.112777
+0.11376
+0.114399
+0.115076
+0.115716
+0.11634
+0.117002
+0.117701
+0.118436
+0.119207
+0.0906487
+0.0887347
+0.0868335
+0.0849463
+0.083074
+0.0812177
+0.0793784
+0.0775573
+0.0757558
+0.0739754
+0.0722174
+0.0704832
+0.0687729
+0.0670905
+0.0654381
+0.0638182
+0.0622333
+0.060686
+0.0591794
+0.0577166
+0.0563011
+0.0549365
+0.0536267
+0.0523759
+0.0511882
+0.0500683
+0.0490161
+0.0480302
+0.0471256
+0.0463071
+0.0455792
+0.0449464
+0.0444128
+0.0439819
+0.0436568
+0.0434399
+0.0433328
+0.0433363
+0.0434504
+0.0436743
+0.0440062
+0.0444419
+0.0449613
+0.0455803
+0.0462947
+0.0471002
+0.0479923
+0.0489662
+0.0500172
+0.0511404
+0.0523314
+0.0535854
+0.0548982
+0.0562657
+0.0576758
+0.0591305
+0.0606296
+0.0621696
+0.0637478
+0.0653613
+0.0670076
+0.0686842
+0.0703892
+0.0721204
+0.0738759
+0.0756542
+0.0774525
+0.0790346
+0.0800901
+0.081191
+0.0823355
+0.0835218
+0.0847481
+0.0860127
+0.087314
+0.0886503
+0.0900109
+0.0914024
+0.0928216
+0.0942494
+0.0956955
+0.0971619
+0.0986551
+0.100174
+0.101717
+0.103284
+0.104873
+0.106484
+0.108115
+0.109765
+0.111434
+0.11263
+0.113291
+0.113945
+0.114537
+0.115168
+0.115836
+0.116542
+0.117285
+0.118064
+0.0901351
+0.0882161
+0.0863079
+0.084409
+0.0825245
+0.0806555
+0.078803
+0.0769684
+0.0751528
+0.0733577
+0.0715846
+0.0698347
+0.068108
+0.0664088
+0.064739
+0.0631012
+0.0614978
+0.0599315
+0.0584055
+0.0569228
+0.0554871
+0.0541019
+0.0527714
+0.0514998
+0.0502914
+0.049151
+0.0480835
+0.0470844
+0.0461613
+0.0453253
+0.0445814
+0.0439342
+0.0433881
+0.042947
+0.042614
+0.0423918
+0.042282
+0.0422856
+0.0424026
+0.0426319
+0.0429718
+0.0434182
+0.0439499
+0.0445829
+0.045313
+0.0461357
+0.0470461
+0.0480392
+0.04911
+0.0502536
+0.051465
+0.0527396
+0.054073
+0.0554609
+0.0568976
+0.0583719
+0.0598899
+0.0614485
+0.0630447
+0.0646757
+0.066339
+0.0680322
+0.0697531
+0.0714996
+0.0732701
+0.0750627
+0.0762322
+0.0772638
+0.0783432
+0.0794683
+0.0806372
+0.0818481
+0.0830991
+0.0843885
+0.0857138
+0.0870652
+0.0884501
+0.089857
+0.0912651
+0.092698
+0.0941601
+0.09565
+0.0971665
+0.0987083
+0.100274
+0.101863
+0.103474
+0.105106
+0.106758
+0.108429
+0.110118
+0.111503
+0.112171
+0.11279
+0.113388
+0.114025
+0.114701
+0.115414
+0.116164
+0.11695
+0.089672
+0.087743
+0.0858265
+0.0839234
+0.0820298
+0.0801492
+0.0782848
+0.0764377
+0.0746092
+0.0728007
+0.0710137
+0.0692494
+0.0675078
+0.065793
+0.0641072
+0.0624528
+0.0608323
+0.0592485
+0.0577044
+0.0562032
+0.0547486
+0.0533443
+0.0519944
+0.0507033
+0.0494755
+0.0483158
+0.0472294
+0.0462118
+0.0452709
+0.0444182
+0.0436588
+0.0429978
+0.0424396
+0.0419885
+0.0416479
+0.0414205
+0.0413081
+0.0413118
+0.0414315
+0.0416662
+0.042014
+0.042472
+0.0430224
+0.0436688
+0.044414
+0.045253
+0.0461808
+0.0471921
+0.0482817
+0.0494444
+0.0506752
+0.0519692
+0.0533219
+0.0547288
+0.0561859
+0.0576865
+0.059222
+0.0607978
+0.0624106
+0.0640578
+0.0657367
+0.067445
+0.0691805
+0.0709412
+0.0724401
+0.0734435
+0.0744563
+0.0755118
+0.0766155
+0.0777652
+0.0789584
+0.0801842
+0.0814506
+0.0827555
+0.0840973
+0.0854742
+0.0868845
+0.0882803
+0.0897074
+0.0911648
+0.0926511
+0.0941648
+0.0957048
+0.0972698
+0.0988585
+0.10047
+0.102103
+0.103756
+0.105429
+0.107121
+0.108831
+0.110373
+0.111049
+0.111667
+0.112271
+0.112914
+0.113596
+0.114316
+0.115073
+0.115866
+0.0892603
+0.0873222
+0.0853962
+0.0834833
+0.0815844
+0.0797
+0.0778249
+0.0759666
+0.0741264
+0.0723059
+0.0705063
+0.068729
+0.0669738
+0.065245
+0.0635447
+0.0618753
+0.0602392
+0.0586394
+0.0570788
+0.0555607
+0.0540888
+0.052667
+0.0512992
+0.0499901
+0.0487444
+0.0475669
+0.046463
+0.0454283
+0.0444708
+0.0436024
+0.0428286
+0.0421545
+0.041585
+0.0411245
+0.0407767
+0.0405444
+0.0404296
+0.0404334
+0.0405557
+0.0407954
+0.0411505
+0.0416181
+0.0421884
+0.0428473
+0.0436065
+0.0444608
+0.0454048
+0.046433
+0.04754
+0.0487204
+0.049969
+0.0512809
+0.0526512
+0.0540756
+0.0555498
+0.0570701
+0.0586285
+0.0602198
+0.0618477
+0.0635095
+0.0652025
+0.0669245
+0.0686731
+0.0696439
+0.0706201
+0.0716225
+0.0726584
+0.0737396
+0.0748694
+0.0760455
+0.0772627
+0.078515
+0.0798078
+0.0811392
+0.0825073
+0.0839102
+0.0853035
+0.0867243
+0.0881766
+0.0896588
+0.0911697
+0.0927077
+0.0942715
+0.0958598
+0.0974715
+0.0991055
+0.100761
+0.102436
+0.10413
+0.105843
+0.107572
+0.109268
+0.109951
+0.110575
+0.111185
+0.111835
+0.112523
+0.11325
+0.114014
+0.114814
+0.0889007
+0.0869545
+0.0850203
+0.0830987
+0.0811909
+0.0792976
+0.07742
+0.075556
+0.0737056
+0.0718744
+0.0700638
+0.0682749
+0.0665078
+0.0647665
+0.0630533
+0.0613705
+0.0597206
+0.0581065
+0.0565312
+0.054998
+0.0535107
+0.052073
+0.0506893
+0.049364
+0.048102
+0.0469085
+0.0457887
+0.0447383
+0.0437657
+0.0428831
+0.042096
+0.0414101
+0.0408302
+0.0403611
+0.0400066
+0.0397698
+0.0396528
+0.0396567
+0.0397813
+0.0400257
+0.0403876
+0.0408639
+0.0414506
+0.0421239
+0.0428959
+0.043764
+0.0447227
+0.0457663
+0.046889
+0.0480854
+0.0493501
+0.0506779
+0.0520642
+0.0535042
+0.0549938
+0.0565286
+0.0581039
+0.0597166
+0.0613579
+0.0630326
+0.0647381
+0.0659882
+0.0668743
+0.0678196
+0.068806
+0.0698228
+0.0708825
+0.0719905
+0.0731473
+0.0743506
+0.0755924
+0.0768719
+0.0781919
+0.0795504
+0.0809438
+0.0823357
+0.0837495
+0.0851962
+0.0866741
+0.0881816
+0.0897173
+0.0912798
+0.0928677
+0.0944796
+0.0961145
+0.0977711
+0.0994484
+0.101145
+0.102861
+0.104594
+0.106344
+0.108111
+0.108866
+0.109516
+0.110132
+0.110788
+0.111483
+0.112216
+0.112987
+0.113787
+0.0885938
+0.0866408
+0.0846994
+0.0827704
+0.0808547
+0.0789534
+0.0770674
+0.0751979
+0.0733463
+0.0715075
+0.0696873
+0.0678885
+0.0661111
+0.0643591
+0.0626347
+0.0609404
+0.0592785
+0.057652
+0.0560639
+0.0545177
+0.0530168
+0.0515654
+0.0501676
+0.0488282
+0.047552
+0.0463443
+0.0452105
+0.0441464
+0.0431605
+0.0422652
+0.0414664
+0.0407699
+0.0401808
+0.039704
+0.0393436
+0.0391028
+0.0389838
+0.0389877
+0.0391145
+0.039363
+0.0397309
+0.040215
+0.040811
+0.0415036
+0.0422869
+0.0431673
+0.044139
+0.045196
+0.0463326
+0.0475429
+0.0488217
+0.0501635
+0.051563
+0.0530144
+0.0545151
+0.0560614
+0.0576494
+0.0592758
+0.0609376
+0.062485
+0.0632832
+0.0641348
+0.0650462
+0.0660147
+0.0670022
+0.0680443
+0.0691283
+0.0702639
+0.0714487
+0.0726802
+0.0739493
+0.0752568
+0.0766046
+0.0779863
+0.0793779
+0.080784
+0.0822245
+0.0836975
+0.0852014
+0.0867346
+0.0882955
+0.0898826
+0.0914947
+0.0931305
+0.0947886
+0.096468
+0.0981675
+0.0998862
+0.101623
+0.103377
+0.105148
+0.106934
+0.107723
+0.108492
+0.109113
+0.109775
+0.110476
+0.111216
+0.111986
+0.112659
+0.0883402
+0.0863815
+0.0844341
+0.0824989
+0.0805768
+0.0786687
+0.0767757
+0.074899
+0.0730397
+0.0711994
+0.0693739
+0.0675669
+0.0657833
+0.0640241
+0.0622904
+0.0605864
+0.0589146
+0.0572778
+0.055679
+0.0541217
+0.0526096
+0.0511466
+0.0497371
+0.0483858
+0.0470976
+0.0458779
+0.0447323
+0.0436566
+0.0426593
+0.0417533
+0.0409445
+0.0402389
+0.0396419
+0.0391586
+0.0387931
+0.0385489
+0.0384281
+0.0384321
+0.0385608
+0.0388128
+0.0391859
+0.0396766
+0.0402806
+0.0409843
+0.0417774
+0.0426683
+0.0436511
+0.0447196
+0.045868
+0.0470903
+0.048381
+0.0497348
+0.0511442
+0.0526071
+0.0541192
+0.0556764
+0.0572751
+0.0589119
+0.0598587
+0.0606124
+0.0614293
+0.0623033
+0.063241
+0.0642072
+0.0652222
+0.0662868
+0.0673991
+0.0685634
+0.069777
+0.0710375
+0.0723352
+0.0736714
+0.0750402
+0.0764312
+0.0778289
+0.0792625
+0.0807301
+0.0822299
+0.0837602
+0.0853193
+0.0869056
+0.0885177
+0.0901542
+0.0918138
+0.0934953
+0.0951975
+0.0969193
+0.0986597
+0.100418
+0.102192
+0.103961
+0.105746
+0.106612
+0.10739
+0.108129
+0.108797
+0.109504
+0.110211
+0.110818
+0.111465
+0.0881404
+0.086177
+0.0842249
+0.0822848
+0.0803576
+0.0784442
+0.0765457
+0.0746632
+0.0727979
+0.0709512
+0.0691192
+0.0673054
+0.0655147
+0.0637489
+0.0620103
+0.0603011
+0.058624
+0.0569818
+0.0553775
+0.0538121
+0.0522911
+0.0508189
+0.0494001
+0.0480392
+0.0467415
+0.0455123
+0.0443572
+0.0432722
+0.0422658
+0.0413512
+0.0405344
+0.0398215
+0.0392182
+0.0387296
+0.03836
+0.038113
+0.0379909
+0.0379949
+0.038125
+0.0383799
+0.0387572
+0.0392532
+0.0398637
+0.0405746
+0.0413755
+0.0422749
+0.0432666
+0.0443445
+0.0455023
+0.0467342
+0.0480345
+0.0493977
+0.0508165
+0.0522886
+0.0538096
+0.0553755
+0.0566375
+0.0572795
+0.057984
+0.0587616
+0.0595952
+0.0604956
+0.0614414
+0.0624244
+0.0634678
+0.0645558
+0.0656974
+0.0668913
+0.0681347
+0.069425
+0.0707522
+0.0721067
+0.0734903
+0.0748853
+0.0763113
+0.077773
+0.0792682
+0.0807951
+0.082352
+0.0839372
+0.0855492
+0.0871864
+0.0888474
+0.090531
+0.0922359
+0.0939609
+0.0957049
+0.0974555
+0.0992122
+0.100986
+0.102776
+0.104581
+0.105508
+0.106279
+0.107078
+0.107854
+0.108461
+0.109034
+0.109648
+0.110301
+0.0879946
+0.086028
+0.0840724
+0.0821287
+0.0801977
+0.0782804
+0.0763778
+0.074491
+0.0726213
+0.0707701
+0.0689332
+0.0671144
+0.0653185
+0.0635472
+0.0618029
+0.0600879
+0.0584046
+0.056756
+0.0551452
+0.0535755
+0.0520507
+0.0505748
+0.0491523
+0.0477879
+0.046486
+0.0452499
+0.0440879
+0.0429961
+0.0419832
+0.0410622
+0.0402396
+0.0395214
+0.0389134
+0.0384209
+0.0380483
+0.0377993
+0.0376761
+0.0376802
+0.0378114
+0.0380684
+0.0384487
+0.0389487
+0.0395638
+0.0402801
+0.0410867
+0.0419923
+0.0429905
+0.0440751
+0.0452398
+0.0464787
+0.0477859
+0.049156
+0.0505816
+0.0520604
+0.0535879
+0.0541657
+0.054752
+0.0554042
+0.0561322
+0.0569269
+0.0577859
+0.0586987
+0.0596463
+0.0606583
+0.0617314
+0.0628535
+0.0640254
+0.0652499
+0.0665241
+0.067845
+0.0691876
+0.070557
+0.0719547
+0.0733723
+0.0748272
+0.0763172
+0.0778404
+0.0793948
+0.0809786
+0.0825902
+0.0842279
+0.0858903
+0.0875759
+0.0892835
+0.0910117
+0.0927359
+0.0944788
+0.0962399
+0.0980184
+0.0998133
+0.101624
+0.103449
+0.104356
+0.105151
+0.105985
+0.106772
+0.10731
+0.107889
+0.108509
+0.109169
+0.0879032
+0.0859345
+0.0839767
+0.0820307
+0.0800974
+0.0781776
+0.0762725
+0.0743831
+0.0725106
+0.0706564
+0.0688165
+0.0669945
+0.0651953
+0.0634206
+0.0616727
+0.059954
+0.0582668
+0.0566142
+0.0549992
+0.0534252
+0.051896
+0.0504156
+0.0489885
+0.0476194
+0.0463135
+0.0450763
+0.0439136
+0.0428304
+0.0418135
+0.0408887
+0.0400625
+0.0393411
+0.0387303
+0.0382354
+0.037861
+0.0376107
+0.037487
+0.0374911
+0.0376229
+0.0378812
+0.0382634
+0.0387658
+0.0393838
+0.0401032
+0.0409133
+0.0418227
+0.0428248
+0.0439135
+0.0450824
+0.0463255
+0.0476369
+0.0490112
+0.0504409
+0.051328
+0.0517613
+0.0522828
+0.0528801
+0.0535528
+0.0543042
+0.0551171
+0.0559814
+0.05689
+0.0578672
+0.0589097
+0.0600142
+0.0611771
+0.0623856
+0.0636417
+0.0649473
+0.0662816
+0.0676362
+0.0690337
+0.0704468
+0.0718942
+0.0733784
+0.0748972
+0.0764487
+0.0780308
+0.0796418
+0.0812799
+0.0829435
+0.0846311
+0.0863297
+0.0880359
+0.089763
+0.0915101
+0.0932758
+0.0950593
+0.0968594
+0.0986754
+0.100506
+0.102351
+0.103237
+0.10404
+0.104883
+0.105648
+0.106191
+0.106776
+0.107403
+0.10807
+0.0878611
+0.0858916
+0.0839331
+0.0819863
+0.0800522
+0.0781316
+0.0762255
+0.0743352
+0.0724617
+0.0706065
+0.0687694
+0.0669462
+0.0651456
+0.0633695
+0.0616202
+0.0598999
+0.0582112
+0.056557
+0.0549403
+0.0533646
+0.0518336
+0.0503514
+0.0489223
+0.0475514
+0.0462435
+0.0450044
+0.0438398
+0.0427558
+0.0417582
+0.0408322
+0.0400048
+0.0392823
+0.0386706
+0.038175
+0.0378
+0.0375493
+0.0374253
+0.0374294
+0.0375615
+0.0378202
+0.0382029
+0.0387061
+0.0393251
+0.0400456
+0.0408568
+0.0417674
+0.0427709
+0.0438609
+0.0450312
+0.0462756
+0.0475884
+0.0488113
+0.0490782
+0.0494341
+0.0498838
+0.05042
+0.0510312
+0.0517279
+0.0524955
+0.0533056
+0.0541706
+0.055109
+0.0561173
+0.0571917
+0.0583287
+0.0595245
+0.0607673
+0.0620597
+0.0633909
+0.0647319
+0.0661073
+0.0675236
+0.0689756
+0.0704532
+0.0719671
+0.0735151
+0.0750952
+0.0767015
+0.0783318
+0.0799888
+0.0816709
+0.0833587
+0.085068
+0.0867989
+0.0885502
+0.0903207
+0.0921093
+0.0939149
+0.0957366
+0.0975734
+0.0994246
+0.101289
+0.102139
+0.102951
+0.103802
+0.10454
+0.105091
+0.105684
+0.106318
+0.106985
+0.0878683
+0.085899
+0.0839407
+0.0819941
+0.0800601
+0.0781397
+0.0762338
+0.0743437
+0.0724704
+0.0706155
+0.0687803
+0.0669665
+0.0651695
+0.0633942
+0.0616455
+0.059926
+0.058238
+0.0565846
+0.0549687
+0.0533938
+0.0518637
+0.0503823
+0.0489542
+0.0475842
+0.0462773
+0.0450391
+0.0438754
+0.0427922
+0.041796
+0.0408913
+0.0400652
+0.0393438
+0.0387331
+0.0382382
+0.0378639
+0.0376136
+0.0374899
+0.0374939
+0.0376258
+0.037884
+0.0382662
+0.0387685
+0.0393865
+0.0401077
+0.0409177
+0.041827
+0.042829
+0.0439176
+0.0450864
+0.0463294
+0.0467315
+0.0469207
+0.0471957
+0.0475658
+0.0480329
+0.0485763
+0.0492103
+0.0499174
+0.0506693
+0.051494
+0.0523888
+0.0533585
+0.0543992
+0.0555069
+0.0566759
+0.0578939
+0.059168
+0.0604946
+0.0618287
+0.063189
+0.064595
+0.0660438
+0.0675325
+0.0690405
+0.0705758
+0.0721449
+0.0737457
+0.0753762
+0.0770345
+0.0787084
+0.0803972
+0.0821097
+0.0838445
+0.0856002
+0.0873756
+0.0891694
+0.0909806
+0.0928081
+0.0946511
+0.0965086
+0.0983799
+0.100253
+0.101076
+0.101897
+0.102757
+0.103466
+0.104023
+0.10462
+0.105253
+0.105928
+0.0879301
+0.0859622
+0.0840054
+0.0820603
+0.0801279
+0.0782092
+0.0763051
+0.0744167
+0.0725454
+0.0706924
+0.0688592
+0.0670476
+0.0652591
+0.0634944
+0.0617486
+0.060032
+0.0583471
+0.0566969
+0.0550843
+0.0535128
+0.0519862
+0.0505084
+0.049084
+0.0477176
+0.0464145
+0.04518
+0.0440201
+0.0429406
+0.0419478
+0.0410465
+0.0402236
+0.0395052
+0.0388969
+0.0384042
+0.0380315
+0.0377823
+0.0376591
+0.0376632
+0.0377944
+0.0380516
+0.038432
+0.0389323
+0.0395477
+0.040273
+0.0410955
+0.0420008
+0.0429989
+0.0440832
+0.0446873
+0.0447123
+0.0448445
+0.0450574
+0.0453409
+0.045726
+0.0461987
+0.0467624
+0.0473951
+0.0480867
+0.0488664
+0.0497128
+0.050639
+0.0516416
+0.0527163
+0.0538516
+0.0550449
+0.0562983
+0.0576077
+0.0589429
+0.0602888
+0.0616831
+0.0631226
+0.0646044
+0.0661051
+0.0676361
+0.0692025
+0.070802
+0.0724325
+0.0740901
+0.0757552
+0.0774465
+0.0791622
+0.0809008
+0.082661
+0.0844413
+0.0862405
+0.0880574
+0.0898911
+0.0917403
+0.0936043
+0.0954822
+0.0973014
+0.0991346
+0.100051
+0.100879
+0.101748
+0.102428
+0.102988
+0.103585
+0.104224
+0.104905
+0.0880464
+0.0860812
+0.0841271
+0.0821849
+0.0802555
+0.0783399
+0.076439
+0.0745541
+0.0726863
+0.070837
+0.0690077
+0.0672
+0.0654157
+0.0636568
+0.0619255
+0.0602176
+0.0585381
+0.0568933
+0.0552865
+0.0537209
+0.0522004
+0.0507289
+0.0493108
+0.0479509
+0.0466543
+0.0454264
+0.0442728
+0.0431997
+0.042213
+0.0413175
+0.0405001
+0.0397866
+0.0391828
+0.0386937
+0.0383238
+0.0380765
+0.0379543
+0.0379583
+0.0380885
+0.0383437
+0.0387213
+0.0392178
+0.0398288
+0.0405491
+0.041373
+0.0422763
+0.0430526
+0.0428768
+0.0427922
+0.0428184
+0.0429564
+0.0431933
+0.0435084
+0.0439111
+0.0443877
+0.0449326
+0.0455603
+0.0462797
+0.0470878
+0.0479653
+0.0489248
+0.0499618
+0.0510591
+0.0522243
+0.053454
+0.0547438
+0.0560708
+0.0574091
+0.0587901
+0.0602191
+0.0616929
+0.0631813
+0.0647072
+0.0662705
+0.0678684
+0.0694987
+0.0711476
+0.0728141
+0.0745076
+0.0762266
+0.0779691
+0.0797338
+0.0815192
+0.0833239
+0.0851467
+0.0869865
+0.0888422
+0.0907129
+0.0925347
+0.0943588
+0.0961983
+0.0980521
+0.0990054
+0.0998334
+0.10065
+0.10134
+0.101983
+0.102585
+0.10321
+0.103871
+0.088217
+0.0862556
+0.0843056
+0.0823676
+0.0804426
+0.0785315
+0.0766354
+0.0747554
+0.0728928
+0.0710489
+0.0692251
+0.0674233
+0.0656451
+0.0638925
+0.0621677
+0.0604731
+0.05881
+0.0571731
+0.0555744
+0.0540172
+0.0525052
+0.0510425
+0.0496334
+0.0482825
+0.0469951
+0.0457763
+0.0446318
+0.0435675
+0.0425894
+0.0417019
+0.0408922
+0.0401857
+0.0395879
+0.0391039
+0.0387379
+0.0384933
+0.0383724
+0.0383764
+0.0385052
+0.0387576
+0.0391313
+0.0396226
+0.0402275
+0.0409407
+0.0417569
+0.0414846
+0.0411974
+0.0410095
+0.0409196
+0.0409469
+0.0410862
+0.0413081
+0.0416375
+0.0420497
+0.042512
+0.0430806
+0.0437517
+0.0445017
+0.0453234
+0.0462344
+0.0472295
+0.048303
+0.049437
+0.0506396
+0.0518871
+0.0531757
+0.0545132
+0.0559026
+0.057336
+0.0587934
+0.0602712
+0.0617913
+0.0633508
+0.0649467
+0.0665764
+0.0682189
+0.0698865
+0.0715823
+0.0733043
+0.0750508
+0.0768201
+0.0786106
+0.0804209
+0.0822497
+0.0840958
+0.085958
+0.0877825
+0.0895963
+0.0914266
+0.0932724
+0.0951328
+0.097007
+0.0978662
+0.0987037
+0.0995673
+0.100264
+0.100898
+0.101497
+0.102127
+0.102795
+0.0884415
+0.0864852
+0.0845404
+0.082608
+0.0806887
+0.0787836
+0.0768937
+0.0750202
+0.0731643
+0.0713274
+0.069511
+0.0677168
+0.0659465
+0.0642021
+0.0624859
+0.0608001
+0.0591475
+0.0575308
+0.0559466
+0.0544001
+0.052899
+0.0514475
+0.0500498
+0.0487106
+0.0474347
+0.0462275
+0.0450945
+0.0440414
+0.043074
+0.0421967
+0.0413967
+0.0406989
+0.0401088
+0.0396312
+0.0392701
+0.0390288
+0.0389096
+0.0389135
+0.0390406
+0.0392895
+0.0396581
+0.0401431
+0.0407402
+0.0405973
+0.0400802
+0.0396734
+0.0393649
+0.0391653
+0.0390712
+0.0390997
+0.0392293
+0.0394545
+0.0397942
+0.040184
+0.0406678
+0.0412618
+0.041962
+0.0427429
+0.0435977
+0.044544
+0.045576
+0.0466877
+0.0478391
+0.0490385
+0.0503047
+0.0516253
+0.0529999
+0.054428
+0.0559055
+0.0573808
+0.0588941
+0.0604488
+0.062042
+0.0636689
+0.0653057
+0.0669742
+0.0686721
+0.0703971
+0.0721475
+0.0739213
+0.0757169
+0.0775329
+0.0793678
+0.0812203
+0.0830474
+0.0848493
+0.086669
+0.0885056
+0.0903579
+0.0922251
+0.0941063
+0.0959587
+0.0967631
+0.0976102
+0.0984986
+0.0992255
+0.0998152
+0.100431
+0.101079
+0.101754
+0.0887172
+0.0867695
+0.0848313
+0.0829056
+0.0809934
+0.0790956
+0.0772134
+0.0753478
+0.0735002
+0.0716719
+0.0698644
+0.0680795
+0.0663189
+0.0645846
+0.0628788
+0.0612039
+0.0595625
+0.0579574
+0.0563917
+0.0548678
+0.0533799
+0.0519419
+0.0505578
+0.0492324
+0.0479704
+0.0467771
+0.0456577
+0.0446179
+0.0436633
+0.0427981
+0.0420095
+0.0413221
+0.040741
+0.0402709
+0.0399156
+0.0396782
+0.039561
+0.0395648
+0.0396898
+0.0399347
+0.0402974
+0.0401951
+0.0395004
+0.0388666
+0.0383279
+0.0378972
+0.0375681
+0.0373586
+0.03726
+0.0372786
+0.037401
+0.0376371
+0.0379434
+0.0383525
+0.0388595
+0.0394809
+0.0402121
+0.0410256
+0.0419155
+0.0428908
+0.0439423
+0.0450541
+0.0462219
+0.0474622
+0.0487632
+0.0501206
+0.0515353
+0.0530029
+0.0545132
+0.0560183
+0.0575674
+0.059157
+0.0607746
+0.0624104
+0.0640794
+0.065779
+0.0675069
+0.069261
+0.0710393
+0.0728402
+0.0746618
+0.0764878
+0.0783054
+0.0801205
+0.0819281
+0.083754
+0.0855971
+0.0874562
+0.0893303
+0.0912185
+0.0931183
+0.0948759
+0.0956884
+0.0965353
+0.0974241
+0.0981924
+0.0987693
+0.0993911
+0.100057
+0.100749
+0.0890379
+0.0870986
+0.0851715
+0.0832575
+0.0813559
+0.0794668
+0.0775936
+0.0757374
+0.0738995
+0.0720813
+0.0702844
+0.0685104
+0.0667612
+0.0650387
+0.0633451
+0.0616828
+0.0600545
+0.0584629
+0.0569111
+0.0554026
+0.0539311
+0.0525085
+0.0511403
+0.0498309
+0.0485849
+0.0474075
+0.0463039
+0.0452795
+0.0443396
+0.04349
+0.042726
+0.0420503
+0.0414794
+0.0410177
+0.040669
+0.040436
+0.040321
+0.0403248
+0.0404474
+0.0402323
+0.0393381
+0.0385479
+0.0378387
+0.0371766
+0.0366229
+0.0361602
+0.0358151
+0.0355816
+0.0354651
+0.0354837
+0.0355964
+0.0358186
+0.0361307
+0.0365604
+0.0370926
+0.037743
+0.0384892
+0.039314
+0.0402255
+0.0412285
+0.0423011
+0.0434327
+0.0446432
+0.0459264
+0.0472689
+0.048668
+0.0501237
+0.0516233
+0.053155
+0.0547095
+0.0562947
+0.0579014
+0.0595356
+0.0612045
+0.0629055
+0.064636
+0.0663936
+0.0681764
+0.0699601
+0.0717425
+0.0735468
+0.0753717
+0.0772069
+0.0790204
+0.0808527
+0.0827023
+0.0845683
+0.0864495
+0.0883435
+0.0902471
+0.0921634
+0.0938094
+0.0946224
+0.0954787
+0.0963772
+0.0971596
+0.0977425
+0.0983708
+0.0990082
+0.0996707
+0.0894111
+0.0874801
+0.0855616
+0.0836565
+0.0817657
+0.0798902
+0.0780311
+0.076188
+0.0743612
+0.0725546
+0.0707697
+0.0690082
+0.0672719
+0.0655628
+0.0638831
+0.0622353
+0.0606218
+0.0590455
+0.0575094
+0.0560169
+0.054562
+0.0531564
+0.0518053
+0.0505131
+0.0492844
+0.0481241
+0.0470373
+0.0460292
+0.045105
+0.04427
+0.0435293
+0.0428781
+0.0423184
+0.041866
+0.0415244
+0.0412963
+0.0411836
+0.0408147
+0.0396992
+0.0386688
+0.0377376
+0.0369109
+0.0361669
+0.0354982
+0.0349542
+0.0344517
+0.034064
+0.0338126
+0.0336899
+0.0337054
+0.0337983
+0.0340322
+0.0343621
+0.0348137
+0.0353731
+0.0360091
+0.0367591
+0.0376218
+0.0385727
+0.0395986
+0.0406874
+0.0418627
+0.0431173
+0.0444445
+0.0458307
+0.0472722
+0.048748
+0.0502718
+0.0518435
+0.0534586
+0.0550526
+0.0566842
+0.0583525
+0.0600543
+0.061787
+0.0635173
+0.0652549
+0.0670191
+0.0688079
+0.0706193
+0.0724517
+0.0743034
+0.0761278
+0.0779664
+0.0798229
+0.0816959
+0.083583
+0.0854804
+0.0873914
+0.0893153
+0.0912512
+0.0927701
+0.0935921
+0.0944578
+0.095366
+0.0960927
+0.0966341
+0.0972219
+0.0978551
+0.0985216
+0.0898362
+0.0879145
+0.0860057
+0.0841107
+0.0822303
+0.0803657
+0.0785178
+0.0766881
+0.0748777
+0.0730882
+0.071319
+0.0695714
+0.0678495
+0.0661554
+0.0644912
+0.0628592
+0.0612622
+0.0597028
+0.0581841
+0.0567094
+0.0552727
+0.0538856
+0.0525532
+0.0512798
+0.05007
+0.0489284
+0.0478598
+0.0468694
+0.0459621
+0.0451429
+0.0444169
+0.0437884
+0.0432522
+0.0428097
+0.0424756
+0.0418895
+0.0405865
+0.0393624
+0.0382247
+0.0371671
+0.0361949
+0.0353081
+0.0345375
+0.0338394
+0.0332682
+0.0327674
+0.0323595
+0.0320956
+0.0319664
+0.0319321
+0.0320279
+0.0322724
+0.0325881
+0.0330375
+0.033618
+0.0342939
+0.0350805
+0.0359835
+0.0369582
+0.0379964
+0.0391299
+0.0403505
+0.0416507
+0.043022
+0.0444402
+0.0459016
+0.0474157
+0.0489811
+0.0505928
+0.0521883
+0.053813
+0.0554766
+0.0571758
+0.0588665
+0.0605804
+0.0623229
+0.064093
+0.0658883
+0.067707
+0.069547
+0.0714069
+0.0732519
+0.0750971
+0.0769604
+0.0788395
+0.0807294
+0.0826342
+0.0845528
+0.0864843
+0.0884138
+0.0903473
+0.0917645
+0.0925954
+0.0934704
+0.0943881
+0.0949509
+0.0954987
+0.0960934
+0.0967341
+0.0974065
+0.0903124
+0.0884011
+0.0865031
+0.0846191
+0.0827503
+0.0808977
+0.0790623
+0.0772454
+0.0754485
+0.0736728
+0.07192
+0.0701918
+0.0684901
+0.0668146
+0.0651672
+0.0635526
+0.0619734
+0.0604324
+0.0589325
+0.057477
+0.05606
+0.0546928
+0.0533806
+0.0521275
+0.0509378
+0.049816
+0.0487669
+0.0477953
+0.0469059
+0.0461036
+0.0453928
+0.0447781
+0.0442634
+0.0434086
+0.0419654
+0.0405885
+0.0392423
+0.0379749
+0.0367943
+0.0356946
+0.034684
+0.0337701
+0.0329616
+0.0322426
+0.0316369
+0.0311462
+0.0307168
+0.0304103
+0.0302343
+0.0301767
+0.030278
+0.0304871
+0.0308131
+0.031288
+0.0318955
+0.0326355
+0.0334612
+0.0343808
+0.0353721
+0.0364556
+0.0376355
+0.038903
+0.0402488
+0.0416462
+0.04309
+0.044592
+0.0461491
+0.0477134
+0.0492909
+0.0509138
+0.0525779
+0.054258
+0.0559441
+0.0576604
+0.0594078
+0.0611837
+0.0629858
+0.0648118
+0.0666598
+0.0685281
+0.0703949
+0.0722466
+0.0741161
+0.0759972
+0.0778944
+0.0798067
+0.0817101
+0.0836265
+0.085556
+0.0874978
+0.0894512
+0.0908006
+0.0916403
+0.0925243
+0.0933401
+0.0938463
+0.0944005
+0.0950021
+0.0956501
+0.0963138
+0.090839
+0.088939
+0.0870527
+0.0851809
+0.0833247
+0.0814851
+0.0796633
+0.0778605
+0.076078
+0.0743174
+0.0725801
+0.0708681
+0.069183
+0.0675269
+0.0659021
+0.0643109
+0.0627531
+0.0612317
+0.0597519
+0.0583168
+0.0569207
+0.0555748
+0.0542839
+0.0530521
+0.0518836
+0.0507827
+0.049754
+0.048802
+0.0479314
+0.0471464
+0.0464517
+0.045387
+0.0437901
+0.0422464
+0.040762
+0.0393417
+0.0379656
+0.0366517
+0.0354247
+0.0342938
+0.0332455
+0.0322862
+0.0314418
+0.0306954
+0.0300338
+0.029513
+0.029048
+0.0287215
+0.0285362
+0.0284817
+0.0285422
+0.028751
+0.0290948
+0.0295958
+0.0302336
+0.0310133
+0.0318822
+0.0328167
+0.0338536
+0.0349841
+0.036212
+0.0375264
+0.0388983
+0.0403204
+0.0418071
+0.0433303
+0.044848
+0.0464195
+0.0480395
+0.0497033
+0.0513542
+0.0530403
+0.0547599
+0.0565121
+0.0582939
+0.0601028
+0.0619364
+0.0637924
+0.0656691
+0.0675536
+0.0694036
+0.071273
+0.0731601
+0.0750472
+0.0769424
+0.0788529
+0.0807776
+0.0827156
+0.0846659
+0.0866277
+0.0886002
+0.0898798
+0.0907281
+0.0915882
+0.0922682
+0.0927802
+0.0933408
+0.0939492
+0.0946044
+0.0952492
+0.0914125
+0.0895273
+0.0876536
+0.085795
+0.0839524
+0.0821268
+0.0803195
+0.0785318
+0.0767649
+0.0750204
+0.0732998
+0.071605
+0.0699377
+0.0682999
+0.0666939
+0.065122
+0.0635867
+0.0620908
+0.0606371
+0.0592258
+0.0578517
+0.0565279
+0.0552593
+0.0540497
+0.0529032
+0.0518241
+0.0508165
+0.0498847
+0.0490333
+0.0477735
+0.0460629
+0.0443849
+0.0427506
+0.0411679
+0.0396408
+0.0381576
+0.0367452
+0.0354033
+0.0341314
+0.0329562
+0.0318642
+0.0308562
+0.0299715
+0.0292015
+0.0285051
+0.027939
+0.0274259
+0.0270785
+0.0268819
+0.0268151
+0.0268627
+0.0270741
+0.027439
+0.0279689
+0.0286429
+0.0294648
+0.0303474
+0.0313277
+0.0324121
+0.0335911
+0.0348667
+0.0362017
+0.0375889
+0.0390498
+0.0405103
+0.0420156
+0.0435791
+0.0451947
+0.0468263
+0.0484745
+0.0501598
+0.0518823
+0.053639
+0.0554267
+0.0572423
+0.0590834
+0.0609476
+0.0628329
+0.0646744
+0.0665324
+0.06841
+0.0703054
+0.0721922
+0.0740956
+0.0760145
+0.0779478
+0.0798943
+0.0818532
+0.0838236
+0.0858046
+0.0877892
+0.0889771
+0.0898059
+0.0906669
+0.0912364
+0.0917541
+0.092321
+0.092936
+0.0935972
+0.0942233
+0.0918857
+0.0900352
+0.0882002
+0.0863811
+0.0845772
+0.082792
+0.0810266
+0.079258
+0.0775077
+0.0757803
+0.0740774
+0.0724007
+0.0707521
+0.0691337
+0.0675475
+0.065996
+0.0644815
+0.0630068
+0.0615748
+0.0601884
+0.0588495
+0.0575487
+0.0563031
+0.0551164
+0.0539926
+0.0529356
+0.0519496
+0.0505154
+0.048704
+0.0469251
+0.0451761
+0.0434569
+0.0417819
+0.0401566
+0.0385872
+0.0370652
+0.0356095
+0.0342322
+0.0329165
+0.0316954
+0.0305577
+0.0295053
+0.0285785
+0.0277918
+0.0270592
+0.026413
+0.0258837
+0.0255152
+0.0253092
+0.0252109
+0.0252615
+0.0254746
+0.0258621
+0.0264236
+0.027136
+0.0280022
+0.0288972
+0.0299251
+0.0310583
+0.0322692
+0.033533
+0.0348888
+0.0363155
+0.0377339
+0.0392234
+0.0407763
+0.0423809
+0.0439775
+0.0456218
+0.0473067
+0.0490316
+0.0507925
+0.0525856
+0.0544079
+0.0562564
+0.0581287
+0.0599724
+0.0618164
+0.0636824
+0.0655684
+0.0674631
+0.069358
+0.0712698
+0.0731972
+0.0751391
+0.0770943
+0.0790619
+0.0810409
+0.0830179
+0.0849932
+0.0869549
+0.088095
+0.0889186
+0.089771
+0.0902439
+0.0907673
+0.0913403
+0.0919619
+0.0926275
+0.0932303
+0.0924013
+0.0905613
+0.0887366
+0.0869263
+0.0851339
+0.0833606
+0.0816075
+0.0798761
+0.0781677
+0.0764838
+0.0748263
+0.0731967
+0.0715972
+0.0700261
+0.0684606
+0.0669302
+0.0654374
+0.0639847
+0.062575
+0.0612113
+0.0598967
+0.0586226
+0.0574003
+0.0562368
+0.0551358
+0.0535261
+0.0516604
+0.0498102
+0.0479579
+0.0461345
+0.0443443
+0.0425916
+0.0408812
+0.0392186
+0.0376101
+0.0360629
+0.0345733
+0.033152
+0.0318008
+0.0305308
+0.0293364
+0.028235
+0.0272654
+0.0264273
+0.0256566
+0.0249857
+0.0244174
+0.024029
+0.0237771
+0.0236685
+0.0237224
+0.0239683
+0.0243797
+0.024975
+0.0256918
+0.0265308
+0.0275064
+0.0286154
+0.0297245
+0.0309444
+0.0322602
+0.0336119
+0.0350115
+0.0364807
+0.0380193
+0.039576
+0.0411647
+0.0428027
+0.0444865
+0.0462128
+0.0479771
+0.0497752
+0.0516037
+0.0534594
+0.0553045
+0.0571312
+0.0589827
+0.0608566
+0.0627511
+0.0646444
+0.0665473
+0.0684675
+0.0704035
+0.0723541
+0.074318
+0.0762942
+0.0782623
+0.0802336
+0.0822109
+0.0841585
+0.0861177
+0.0872416
+0.0880731
+0.0888135
+0.0892915
+0.0898205
+0.0903994
+0.0910274
+0.0916998
+0.0922766
+0.0929528
+0.091124
+0.0893114
+0.0875162
+0.0857393
+0.083982
+0.0822427
+0.080525
+0.0788306
+0.0771612
+0.0755185
+0.0739043
+0.0723203
+0.0707688
+0.0692518
+0.0677716
+0.0663308
+0.0649319
+0.0635777
+0.0622712
+0.0610033
+0.0597551
+0.0585565
+0.0567416
+0.0548103
+0.0528992
+0.0510106
+0.049147
+0.0472769
+0.0454261
+0.0436069
+0.0418233
+0.0400801
+0.0383828
+0.0367377
+0.0351503
+0.0336113
+0.0321471
+0.0307342
+0.0294166
+0.0282034
+0.0270563
+0.0260429
+0.0251596
+0.0243367
+0.0236321
+0.0230313
+0.0225829
+0.0223149
+0.0221983
+0.0222718
+0.0225322
+0.0229654
+0.023556
+0.0242646
+0.0251373
+0.0261649
+0.0272932
+0.0284501
+0.0296862
+0.0309705
+0.0323471
+0.0337994
+0.0353056
+0.036818
+0.0383953
+0.0400248
+0.0417057
+0.043432
+0.0451986
+0.047001
+0.0488351
+0.0506802
+0.0524849
+0.0543181
+0.0561768
+0.0580587
+0.0599604
+0.0618523
+0.0637634
+0.0656919
+0.0676364
+0.0695955
+0.071568
+0.0735254
+0.075491
+0.0774676
+0.0794282
+0.0813833
+0.0833501
+0.0853279
+0.0864353
+0.0872744
+0.0879002
+0.0883832
+0.0889175
+0.0895023
+0.0901366
+0.0907997
+0.0913573
+0.0925415
+0.0916483
+0.0899353
+0.0881527
+0.086389
+0.0846451
+0.0829225
+0.0812224
+0.0795463
+0.0778944
+0.0762675
+0.0746694
+0.073102
+0.0715674
+0.0700677
+0.0686052
+0.0671822
+0.0658014
+0.0644656
+0.0631774
+0.06194
+0.0601845
+0.0582025
+0.056236
+0.0542867
+0.0523565
+0.0504476
+0.0485625
+0.0466788
+0.0448019
+0.0429546
+0.0411411
+0.039366
+0.037629
+0.035937
+0.0343012
+0.0327223
+0.0312172
+0.0297799
+0.0284278
+0.027153
+0.0259948
+0.0249223
+0.0239416
+0.0230914
+0.022353
+0.0217134
+0.0212339
+0.020925
+0.0207789
+0.0208404
+0.0210941
+0.0215509
+0.0221828
+0.0229302
+0.0238518
+0.0249109
+0.026084
+0.0271934
+0.0284215
+0.0297548
+0.0311852
+0.032628
+0.0341185
+0.0356779
+0.0372974
+0.0389728
+0.0406971
+0.0424645
+0.0442571
+0.0460815
+0.047889
+0.0496985
+0.0515376
+0.0534033
+0.0552928
+0.0571914
+0.0590908
+0.0610097
+0.0629463
+0.0648991
+0.0668602
+0.06881
+0.0707697
+0.0727427
+0.0747195
+0.0766696
+0.0786322
+0.0806067
+0.082592
+0.0845799
+0.0856058
+0.086453
+0.0870325
+0.0875202
+0.0880598
+0.0886503
+0.0892906
+0.0899187
+0.0904817
+0.091642
+0.0907876
+0.0899391
+0.0888388
+0.0870889
+0.0853593
+0.0836514
+0.0819665
+0.0803059
+0.0786713
+0.0770644
+0.0754868
+0.0739404
+0.0724236
+0.0709419
+0.0694978
+0.0680935
+0.0667316
+0.0654147
+0.0637833
+0.0617643
+0.0597575
+0.057764
+0.0557854
+0.0538208
+0.0518733
+0.0499459
+0.0480411
+0.0461268
+0.0442264
+0.0423541
+0.0405137
+0.0387098
+0.0369478
+0.0352338
+0.0335734
+0.031959
+0.0304161
+0.0289401
+0.0275553
+0.0262249
+0.0249954
+0.0238335
+0.0228059
+0.0218819
+0.0211275
+0.020443
+0.0199447
+0.0196136
+0.0194584
+0.019523
+0.0197848
+0.0202538
+0.0208914
+0.0217153
+0.0226746
+0.0237825
+0.0248373
+0.0259921
+0.0272683
+0.0286553
+0.0300314
+0.0314924
+0.0330275
+0.0346324
+0.0362986
+0.0380008
+0.0397502
+0.0415416
+0.0433593
+0.0451378
+0.0469511
+0.0487955
+0.0506646
+0.0525436
+0.054444
+0.0563567
+0.0582889
+0.0602349
+0.062181
+0.0641207
+0.0660743
+0.0680423
+0.0700232
+0.0719805
+0.0739378
+0.0759079
+0.0778898
+0.0798826
+0.0818734
+0.0838559
+0.0848223
+0.0856773
+0.0862117
+0.0867041
+0.0872487
+0.0878446
+0.0884908
+0.0890828
+0.0896511
+0.0907283
+0.0898652
+0.0890476
+0.0882768
+0.0875279
+0.0861234
+0.0844309
+0.0827618
+0.0811176
+0.0794997
+0.0779098
+0.0763497
+0.0748212
+0.0733262
+0.071867
+0.0704457
+0.0690579
+0.0675181
+0.0654678
+0.0634268
+0.0613961
+0.0593769
+0.0573702
+0.0553774
+0.0533979
+0.0514343
+0.0494898
+0.0475668
+0.0456678
+0.0437532
+0.0418597
+0.0399966
+0.0381683
+0.03638
+0.034638
+0.032933
+0.0312853
+0.0296982
+0.028159
+0.0266898
+0.025309
+0.0240378
+0.0228667
+0.0217536
+0.0208087
+0.0200179
+0.0193021
+0.0187875
+0.0184445
+0.0182874
+0.0183459
+0.0185738
+0.0190441
+0.0197093
+0.0205749
+0.0215552
+0.0226388
+0.0237191
+0.0249191
+0.0262127
+0.027528
+0.0289495
+0.0304473
+0.0320173
+0.0336548
+0.0353478
+0.037093
+0.0388833
+0.040654
+0.0424327
+0.0442464
+0.0460747
+0.0479333
+0.049819
+0.0517266
+0.0536468
+0.0555868
+0.0575373
+0.0594651
+0.0614105
+0.0633719
+0.0653478
+0.0673213
+0.0692717
+0.0712361
+0.0732134
+0.0752024
+0.0772024
+0.0791839
+0.0811506
+0.0831286
+0.0840887
+0.084951
+0.0854392
+0.085936
+0.0864855
+0.0870866
+0.0877383
+0.0882934
+0.0888667
+0.0898518
+0.0889802
+0.0881544
+0.0873758
+0.0866455
+0.0859649
+0.0852446
+0.0835909
+0.0819623
+0.0803606
+0.0787871
+0.0772437
+0.0757283
+0.0742467
+0.0728008
+0.0713928
+0.0693196
+0.0672529
+0.0651942
+0.0631443
+0.0611043
+0.0590751
+0.0570578
+0.0550537
+0.0530621
+0.0510856
+0.0491273
+0.0471895
+0.0452747
+0.0433739
+0.0414601
+0.039575
+0.037723
+0.0359014
+0.034116
+0.0323805
+0.0306993
+0.0290578
+0.0274667
+0.0259521
+0.0245092
+0.0231657
+0.0219463
+0.0208321
+0.0198419
+0.0190067
+0.0182838
+0.0177067
+0.017342
+0.0171918
+0.0172349
+0.0174805
+0.0179866
+0.0186604
+0.0195225
+0.0205047
+0.0215356
+0.0226554
+0.0238474
+0.0250956
+0.0264539
+0.0279049
+0.0294475
+0.0310681
+0.0327551
+0.0344988
+0.0362503
+0.0379826
+0.0397602
+0.0415552
+0.0433862
+0.0452493
+0.0471405
+0.0490545
+0.0509811
+0.0529282
+0.0548519
+0.0567863
+0.0587387
+0.0607073
+0.062686
+0.06464
+0.0665969
+0.0685679
+0.0705519
+0.0725478
+0.074541
+0.0765017
+0.0784744
+0.0804585
+0.0824531
+0.0833996
+0.084269
+0.0847163
+0.0852173
+0.0857714
+0.0863775
+0.0870248
+0.0875517
+0.0881298
+0.0890206
+0.0881408
+0.0873071
+0.0865208
+0.0857833
+0.0850958
+0.0844595
+0.0838756
+0.0828285
+0.08124
+0.0796802
+0.0781507
+0.0766532
+0.0751898
+0.0732966
+0.0712104
+0.0691308
+0.0670581
+0.0649933
+0.0629369
+0.0608899
+0.0588533
+0.0568281
+0.0548157
+0.0528151
+0.050829
+0.0488605
+0.0469116
+0.044985
+0.0430559
+0.0411312
+0.0392344
+0.0373698
+0.0355306
+0.0337256
+0.0319432
+0.0302106
+0.0285346
+0.0268925
+0.0253336
+0.0238534
+0.0224707
+0.0212113
+0.020096
+0.0190225
+0.0181182
+0.0173691
+0.0167829
+0.0163678
+0.0162085
+0.0162479
+0.0165053
+0.0169884
+0.0176859
+0.0185519
+0.0195046
+0.0205416
+0.0216085
+0.0227688
+0.0240729
+0.0254858
+0.0269889
+0.028581
+0.030248
+0.031965
+0.0336328
+0.0353576
+0.0371316
+0.0389245
+0.040756
+0.0426214
+0.0445165
+0.0464352
+0.048367
+0.0502926
+0.0522121
+0.0541522
+0.056106
+0.0580757
+0.0600506
+0.0619976
+0.0639603
+0.0659374
+0.0679275
+0.0699297
+0.0718858
+0.0738519
+0.0758304
+0.0778202
+0.0798205
+0.0818306
+0.0827617
+0.0835937
+0.0840443
+0.0845494
+0.0851078
+0.0857186
+0.0863278
+0.0868589
+0.0874416
+0.088236
+0.0873483
+0.0865069
+0.0857133
+0.0849688
+0.0842746
+0.0836321
+0.0830424
+0.0825067
+0.0820235
+0.0806193
+0.0791079
+0.077375
+0.0752788
+0.0731836
+0.0710941
+0.0690109
+0.0669346
+0.0648658
+0.0628053
+0.0607539
+0.0587125
+0.0566823
+0.0546645
+0.0526582
+0.050666
+0.0486807
+0.0467073
+0.0447542
+0.0428209
+0.040893
+0.0389927
+0.0371122
+0.0352657
+0.0334273
+0.0316243
+0.0298467
+0.0281241
+0.0264707
+0.0248891
+0.0233771
+0.021973
+0.020649
+0.0194063
+0.018333
+0.017395
+0.0165708
+0.0159768
+0.0155262
+0.015322
+0.0153809
+0.0156431
+0.0161405
+0.0168102
+0.0176826
+0.0186645
+0.0196048
+0.0206456
+0.0218571
+0.0232125
+0.0246747
+0.0262243
+0.0278601
+0.0294556
+0.0311036
+0.0328145
+0.0345726
+0.0363676
+0.038196
+0.0400608
+0.0419572
+0.0438784
+0.0458009
+0.0477024
+0.0496208
+0.051559
+0.0535167
+0.0554917
+0.0574477
+0.0593992
+0.0613668
+0.0633491
+0.0653446
+0.0673099
+0.0692674
+0.0712384
+0.0732219
+0.075217
+0.0772226
+0.079238
+0.0812625
+0.0821774
+0.0829705
+0.0834245
+0.0839333
+0.0844958
+0.0851109
+0.0856812
+0.0862162
+0.0868033
+0.0874992
+0.0866039
+0.0857553
+0.0849546
+0.0842034
+0.0835029
+0.0828544
+0.0822591
+0.0817183
+0.081233
+0.0808015
+0.0794297
+0.0773257
+0.0752241
+0.0731277
+0.071037
+0.0689525
+0.0668748
+0.0648045
+0.0627424
+0.0606894
+0.0586463
+0.0566072
+0.0545687
+0.0525424
+0.0505299
+0.0485329
+0.0465532
+0.0445933
+0.0426522
+0.0407163
+0.0388075
+0.0369181
+0.0350613
+0.033214
+0.0313706
+0.0295745
+0.0278351
+0.0261635
+0.0245736
+0.0230184
+0.0215345
+0.0201796
+0.0189197
+0.0177895
+0.0168126
+0.0159694
+0.0153399
+0.0148744
+0.0146596
+0.0146717
+0.014897
+0.0154164
+0.0161162
+0.0169863
+0.0178255
+0.018759
+0.0198739
+0.0211297
+0.0225289
+0.0240365
+0.0255362
+0.0270685
+0.0286834
+0.0303645
+0.0321071
+0.033901
+0.0357214
+0.0375813
+0.0394751
+0.0413704
+0.043269
+0.0451647
+0.0470825
+0.0490232
+0.0509841
+0.0529601
+0.0548963
+0.0568509
+0.0588222
+0.0608085
+0.0627791
+0.0647288
+0.0666901
+0.0686652
+0.070653
+0.0726525
+0.0746628
+0.0766828
+0.0787096
+0.0807443
+0.0816477
+0.0824008
+0.082858
+0.0833702
+0.0839365
+0.0845557
+0.085086
+0.0856248
+0.0862158
+0.0868115
+0.085909
+0.0850534
+0.0842461
+0.0834885
+0.0827819
+0.0821278
+0.0815272
+0.0809815
+0.0804917
+0.0800589
+0.0794358
+0.0773308
+0.0752293
+0.0731331
+0.0710426
+0.0689582
+0.0668807
+0.0648084
+0.062741
+0.0606766
+0.0586159
+0.056565
+0.0545249
+0.052497
+0.0504826
+0.0484836
+0.0465018
+0.0445397
+0.0425794
+0.0406389
+0.0387251
+0.0368421
+0.0349926
+0.0331149
+0.0312656
+0.0294632
+0.0277167
+0.0260375
+0.0243803
+0.0227924
+0.0212928
+0.0198989
+0.0185988
+0.0174434
+0.0164402
+0.0155744
+0.0149084
+0.0143766
+0.0141274
+0.0140863
+0.0143266
+0.0148459
+0.0155277
+0.0163415
+0.0171378
+0.0181068
+0.0192738
+0.020579
+0.0220125
+0.0233658
+0.0248326
+0.0263956
+0.0280427
+0.0297579
+0.0315247
+0.0333418
+0.0351947
+0.0370578
+0.0389203
+0.0408103
+0.0426988
+0.044615
+0.0465554
+0.0485172
+0.0504671
+0.0524038
+0.0543598
+0.0563256
+0.05828
+0.0602467
+0.062195
+0.0641589
+0.066137
+0.0681282
+0.0701291
+0.0721397
+0.0741606
+0.0761908
+0.0782296
+0.0802765
+0.0811191
+0.0818087
+0.0823458
+0.0828612
+0.0834309
+0.0840539
+0.0845435
+0.0850856
+0.0856696
+0.086172
+0.0852647
+0.0844026
+0.083589
+0.0828254
+0.0821131
+0.0814536
+0.080848
+0.0802977
+0.0798037
+0.0793671
+0.0789872
+0.0773879
+0.0752901
+0.0731928
+0.071101
+0.0690145
+0.0669336
+0.0648599
+0.0627845
+0.0607163
+0.058657
+0.0566075
+0.0545691
+0.0525428
+0.0505303
+0.0485333
+0.0465536
+0.0445754
+0.0426132
+0.0406743
+0.0387432
+0.0368349
+0.0349597
+0.0331232
+0.0312936
+0.0294889
+0.0277091
+0.0259921
+0.0243512
+0.0227543
+0.021234
+0.0197864
+0.0184789
+0.01731
+0.0162771
+0.0153701
+0.0146319
+0.0140896
+0.0137728
+0.0136629
+0.013863
+0.0143283
+0.0150169
+0.0157804
+0.0166275
+0.0176245
+0.0188154
+0.0201503
+0.0213988
+0.0227885
+0.0242839
+0.0258687
+0.0275366
+0.0292735
+0.0310678
+0.0328886
+0.0347086
+0.0365685
+0.0384396
+0.0403202
+0.042224
+0.044146
+0.0460919
+0.0480446
+0.0499791
+0.0519143
+0.0538506
+0.0558056
+0.0577655
+0.0597144
+0.0616778
+0.0636538
+0.0656434
+0.0676455
+0.0696589
+0.0716827
+0.0737161
+0.0757582
+0.0778084
+0.0798563
+0.0805089
+0.0812037
+0.0818891
+0.0824074
+0.0829802
+0.0835631
+0.0840544
+0.0845888
+0.0851762
+0.0855641
+0.0846593
+0.083802
+0.0829846
+0.0822153
+0.0814978
+0.0808332
+0.0802229
+0.0796683
+0.0791704
+0.0787303
+0.0783472
+0.0774977
+0.0753981
+0.0733038
+0.0712154
+0.0691323
+0.0670518
+0.0649718
+0.0628992
+0.0608349
+0.0587798
+0.0567348
+0.054701
+0.0526799
+0.0506698
+0.0486657
+0.0466784
+0.0447049
+0.0427259
+0.0407686
+0.0388362
+0.0369326
+0.0350626
+0.0332319
+0.0314297
+0.0296072
+0.0278349
+0.026115
+0.0244277
+0.0228261
+0.0213296
+0.019899
+0.0186047
+0.0173796
+0.0162631
+0.0153042
+0.0145357
+0.0139131
+0.0135787
+0.0134629
+0.0136368
+0.0140271
+0.0146117
+0.0153686
+0.0163574
+0.0173743
+0.0185907
+0.019722
+0.0209893
+0.0223792
+0.0238896
+0.0254988
+0.0271894
+0.0289447
+0.0306888
+0.0324843
+0.0343258
+0.0361491
+0.0379995
+0.0398844
+0.041799
+0.0437396
+0.0456796
+0.0475985
+0.0495096
+0.0514431
+0.0533964
+0.0553411
+0.0572844
+0.0592449
+0.0612211
+0.0632114
+0.0652145
+0.0672293
+0.0692548
+0.0712901
+0.0733331
+0.0753661
+0.0774077
+0.0792714
+0.079917
+0.0806169
+0.0813698
+0.0820095
+0.0825851
+0.083126
+0.0836089
+0.0841462
+0.0847366
+0.0850083
+0.0840975
+0.0832345
+0.0824206
+0.0816574
+0.080937
+0.0802678
+0.0796532
+0.0790946
+0.078593
+0.0781497
+0.0777638
+0.0774277
+0.0755695
+0.0734801
+0.0713928
+0.0693088
+0.0672307
+0.0651564
+0.0630899
+0.061032
+0.0589759
+0.0569271
+0.0548892
+0.0528635
+0.0508515
+0.0488549
+0.0468756
+0.0448925
+0.0429222
+0.0409742
+0.039052
+0.0371595
+0.0353015
+0.0334838
+0.0316656
+0.0298763
+0.0281024
+0.0263603
+0.0246898
+0.0231064
+0.0216026
+0.0201739
+0.018763
+0.017449
+0.0163235
+0.015374
+0.014587
+0.0139384
+0.013586
+0.013418
+0.0135246
+0.0138897
+0.01447
+0.0152255
+0.0162009
+0.0172244
+0.0183321
+0.0194521
+0.0207411
+0.0221489
+0.0236679
+0.0252856
+0.0269522
+0.0286557
+0.0304135
+0.032172
+0.0339565
+0.0357862
+0.0376544
+0.0395557
+0.0414588
+0.0433617
+0.0452826
+0.0471859
+0.0491131
+0.0510539
+0.0529797
+0.0549191
+0.0568768
+0.0588509
+0.0608398
+0.0628422
+0.0648567
+0.0668823
+0.0689054
+0.07093
+0.0729643
+0.0750073
+0.0770428
+0.0787066
+0.0793567
+0.0800615
+0.0808196
+0.0816294
+0.0822465
+0.0827335
+0.0832187
+0.0837585
+0.0843516
+0.0845056
+0.0835894
+0.082721
+0.0819021
+0.081134
+0.0804183
+0.0797564
+0.07914
+0.0785777
+0.0780729
+0.0776266
+0.077238
+0.0768997
+0.075801
+0.0737114
+0.0716278
+0.0695508
+0.067469
+0.0653927
+0.0633241
+0.0612639
+0.0592132
+0.0571728
+0.055144
+0.0531281
+0.0511265
+0.049141
+0.0471551
+0.0451772
+0.0432199
+0.0412861
+0.0393791
+0.0375032
+0.035654
+0.0338004
+0.0319895
+0.0302178
+0.0284571
+0.0267527
+0.0250814
+0.0234676
+0.0218825
+0.0203802
+0.0189578
+0.017666
+0.0165053
+0.0155057
+0.0147414
+0.0140999
+0.0137291
+0.0135629
+0.0136672
+0.0139776
+0.0145557
+0.0152734
+0.0161086
+0.0170928
+0.0181927
+0.0194094
+0.0206982
+0.0220997
+0.023601
+0.0251739
+0.0268022
+0.0284658
+0.0301682
+0.0319144
+0.0337125
+0.0355547
+0.0374035
+0.0392585
+0.0411465
+0.0430537
+0.0449491
+0.0468702
+0.0487713
+0.0506911
+0.0526299
+0.0545818
+0.0565512
+0.0585363
+0.0605355
+0.0625445
+0.0645458
+0.0665589
+0.0685828
+0.0706166
+0.0726596
+0.0746732
+0.0766939
+0.0781991
+0.0788534
+0.0795627
+0.0803254
+0.0811402
+0.0819651
+0.0823975
+0.0828846
+0.0834265
+0.084022
+0.0840571
+0.0831359
+0.0822628
+0.0814392
+0.0806668
+0.0799469
+0.079281
+0.0786668
+0.0781084
+0.0776077
+0.0771621
+0.0767713
+0.0764309
+0.0760767
+0.0739863
+0.0719018
+0.0698224
+0.0677473
+0.0656798
+0.0636206
+0.0615704
+0.0595302
+0.0575011
+0.0554843
+0.0534811
+0.0514933
+0.0494949
+0.0475135
+0.0455512
+0.0436107
+0.041695
+0.0398025
+0.0379367
+0.0360752
+0.0342444
+0.032414
+0.0306076
+0.0288272
+0.0271069
+0.0254541
+0.0237832
+0.0222002
+0.0206874
+0.0192681
+0.0179568
+0.0168008
+0.0158176
+0.0150238
+0.014398
+0.0140194
+0.013851
+0.0138104
+0.0140578
+0.014569
+0.0152568
+0.0161585
+0.0170976
+0.0182076
+0.0193733
+0.0206882
+0.0221155
+0.0236304
+0.0251372
+0.026699
+0.0283442
+0.0300534
+0.0318059
+0.033566
+0.0353556
+0.0371864
+0.0390483
+0.0408999
+0.0427785
+0.0446856
+0.046583
+0.0484904
+0.0504208
+0.0523696
+0.0543308
+0.0563089
+0.0582795
+0.0602631
+0.0622603
+0.06427
+0.0662913
+0.0683229
+0.0703498
+0.0723586
+0.0743777
+0.0764063
+0.07775
+0.0784081
+0.0791213
+0.0798883
+0.0807075
+0.0815773
+0.0821185
+0.0826073
+0.083151
+0.0837484
+0.0836635
+0.082738
+0.0818606
+0.081033
+0.0802566
+0.079533
+0.0788636
+0.0782462
+0.0776847
+0.0771813
+0.0767372
+0.0763534
+0.0760223
+0.0757419
+0.0743048
+0.0722296
+0.0701598
+0.0680951
+0.0660385
+0.0639907
+0.0619528
+0.0599256
+0.0579104
+0.0559083
+0.053912
+0.0519142
+0.0499327
+0.0479693
+0.0460265
+0.0440998
+0.0421966
+0.0403226
+0.0384652
+0.0365968
+0.0347266
+0.0328774
+0.0310725
+0.0292953
+0.0275364
+0.0258262
+0.024181
+0.0226175
+0.0211312
+0.0197091
+0.0184291
+0.0172753
+0.0162759
+0.0154515
+0.0147781
+0.014308
+0.014071
+0.0140089
+0.0142301
+0.014733
+0.0154012
+0.0162929
+0.0172768
+0.0182911
+0.0194432
+0.0207632
+0.0221571
+0.0236375
+0.0251836
+0.0267426
+0.0283853
+0.0300366
+0.0317229
+0.0334676
+0.0352518
+0.0370394
+0.0388683
+0.0407281
+0.0426143
+0.0445028
+0.0463923
+0.0483073
+0.0502296
+0.0521628
+0.0541121
+0.0560716
+0.0580476
+0.0600385
+0.0620429
+0.0640595
+0.0660872
+0.0680964
+0.0700999
+0.0721142
+0.0741213
+0.0761042
+0.0773604
+0.0780218
+0.0787385
+0.0795092
+0.0803322
+0.081206
+0.0818917
+0.0823818
+0.082927
+0.0835261
+0.0833209
+0.0823915
+0.0815104
+0.0806791
+0.0798993
+0.0791725
+0.0785
+0.0778835
+0.0773208
+0.076815
+0.0763688
+0.0759831
+0.0756589
+0.0753932
+0.0746863
+0.0726219
+0.0705637
+0.0685111
+0.0664674
+0.0644333
+0.0624098
+0.060398
+0.0583991
+0.0563971
+0.0544024
+0.0524234
+0.0504616
+0.0485112
+0.0465822
+0.0446773
+0.0427829
+0.0408893
+0.0390261
+0.0371325
+0.0352524
+0.033406
+0.0315721
+0.0297865
+0.0280581
+0.0263656
+0.0247462
+0.0232117
+0.0217238
+0.0203229
+0.0190579
+0.017911
+0.0169358
+0.0160762
+0.0153011
+0.0146949
+0.0143743
+0.0143028
+0.0145281
+0.0150159
+0.0156769
+0.0165539
+0.0175122
+0.0184837
+0.0196403
+0.0209235
+0.0223039
+0.0237646
+0.0253279
+0.0268729
+0.0284474
+0.0300865
+0.0317586
+0.0334461
+0.035189
+0.0369797
+0.0388114
+0.0406462
+0.0424935
+0.0443698
+0.046264
+0.0481571
+0.0500744
+0.0520038
+0.0539509
+0.055916
+0.0578974
+0.0598933
+0.0619024
+0.0639181
+0.0659028
+0.0679002
+0.0699092
+0.0718876
+0.0738656
+0.0758552
+0.0770312
+0.0776953
+0.078415
+0.0791889
+0.0800152
+0.0808924
+0.0817171
+0.0822083
+0.0827546
+0.0833549
+0.083023
+0.0820994
+0.0812151
+0.0803808
+0.0795981
+0.0788684
+0.0781934
+0.0775744
+0.0770127
+0.0765095
+0.0760617
+0.0756744
+0.0753489
+0.0750859
+0.0748861
+0.0730779
+0.0710329
+0.0689943
+0.0669653
+0.0649468
+0.0629398
+0.060944
+0.0589404
+0.0569505
+0.0549737
+0.0530082
+0.0510611
+0.0491345
+0.0471978
+0.0452669
+0.0433602
+0.0414574
+0.0395389
+0.0376502
+0.0357959
+0.0339791
+0.032175
+0.0304136
+0.0287023
+0.0270532
+0.0254452
+0.0239133
+0.0224697
+0.0211114
+0.0198587
+0.0187609
+0.017652
+0.0166735
+0.0158622
+0.0152758
+0.0149309
+0.0148621
+0.0150923
+0.0155781
+0.0161866
+0.0169423
+0.0178517
+0.0187838
+0.0198759
+0.02113
+0.0224658
+0.0239115
+0.0253957
+0.0269639
+0.0285605
+0.0301975
+0.031817
+0.0335016
+0.0352418
+0.0370141
+0.0387963
+0.0406185
+0.042467
+0.0443112
+0.0461786
+0.0480732
+0.0499882
+0.0519186
+0.053869
+0.0558372
+0.0578215
+0.0598201
+0.061809
+0.0637841
+0.0657729
+0.0677629
+0.0697201
+0.0716909
+0.0736741
+0.0756688
+0.076763
+0.0774295
+0.0781516
+0.078928
+0.0797571
+0.0806371
+0.0815644
+0.0820929
+0.0826399
+0.0832411
+0.0827762
+0.0818579
+0.080978
+0.0801412
+0.0793562
+0.0786243
+0.0779471
+0.0773261
+0.0767626
+0.0762579
+0.0758132
+0.0754281
+0.0751016
+0.0748377
+0.0746372
+0.0735963
+0.0715661
+0.0695431
+0.0675306
+0.0655295
+0.0635319
+0.0615345
+0.0595469
+0.0575708
+0.0556109
+0.05363
+0.0516605
+0.0497095
+0.0477792
+0.0458676
+0.0439466
+0.0420348
+0.040144
+0.0382851
+0.0364631
+0.0346603
+0.0328742
+0.0311388
+0.0294643
+0.02783
+0.0262692
+0.0247842
+0.0233589
+0.0220164
+0.0208182
+0.0195181
+0.0183756
+0.017395
+0.0166273
+0.0160296
+0.0156963
+0.0156068
+0.01577
+0.0161792
+0.0167566
+0.0175067
+0.0183551
+0.0192416
+0.0203088
+0.0214911
+0.0227609
+0.0241556
+0.0256362
+0.027135
+0.0287221
+0.0303843
+0.0320193
+0.0336937
+0.0353818
+0.0371132
+0.0388908
+0.0406724
+0.0424738
+0.0443103
+0.0461777
+0.0480721
+0.0499818
+0.0519125
+0.0538631
+0.0558315
+0.057816
+0.0597862
+0.0617483
+0.0637253
+0.0656785
+0.0676251
+0.0695863
+0.0715608
+0.0735475
+0.0754824
+0.0765479
+0.0772162
+0.0779404
+0.0787189
+0.0795501
+0.0804324
+0.0813588
+0.0820358
+0.0825833
+0.0831848
+0.0825785
+0.081655
+0.0807773
+0.0799501
+0.0791741
+0.0784406
+0.0777618
+0.0771393
+0.0765745
+0.0760685
+0.0756227
+0.075238
+0.0749154
+0.074653
+0.074452
+0.0741758
+0.0721619
+0.0701561
+0.0681439
+0.0661407
+0.0641496
+0.062172
+0.060172
+0.0581765
+0.0561955
+0.0542306
+0.0522837
+0.0503441
+0.0484074
+0.0464932
+0.0445992
+0.0427141
+0.0408558
+0.0390316
+0.0372233
+0.0354302
+0.0336841
+0.0319927
+0.0303441
+0.0287528
+0.0272218
+0.025767
+0.024375
+0.0229923
+0.0216139
+0.0203624
+0.019246
+0.0183045
+0.0175574
+0.0169713
+0.0165505
+0.0164123
+0.0165311
+0.0168583
+0.0173858
+0.018147
+0.0188982
+0.0197812
+0.0208213
+0.0219561
+0.0232101
+0.0245445
+0.0259663
+0.0274494
+0.029022
+0.0306704
+0.0323073
+0.0339545
+0.0356205
+0.0373228
+0.0390331
+0.0407892
+0.0425857
+0.0444176
+0.0462806
+0.0481665
+0.0500713
+0.0519987
+0.0539462
+0.0559117
+0.0578563
+0.0597917
+0.0617441
+0.0636767
+0.0656096
+0.0675582
+0.0695213
+0.0714976
+0.0733194
+0.0746743
+0.0760682
+0.0770613
+0.0777869
+0.0785669
+0.0793997
+0.0802837
+0.0812118
+0.0820372
+0.0825847
+0.0831862
+0.0824356
+0.0815104
+0.0806312
+0.0798024
+0.0790257
+0.0783026
+0.0776292
+0.077009
+0.0764465
+0.0759418
+0.0754953
+0.0751099
+0.0747868
+0.0745267
+0.0743303
+0.0741938
+0.0727764
+0.0707686
+0.068772
+0.0667876
+0.064778
+0.062776
+0.0607869
+0.0588123
+0.0568534
+0.0548928
+0.0529412
+0.051009
+0.0490985
+0.0472124
+0.0453303
+0.0434737
+0.0416497
+0.0398473
+0.0380668
+0.0363153
+0.0346139
+0.0329577
+0.0313449
+0.0297709
+0.0282567
+0.0267493
+0.0252884
+0.0238772
+0.0225511
+0.0213679
+0.0202925
+0.0193467
+0.0185391
+0.017925
+0.0175237
+0.0173432
+0.017423
+0.0177148
+0.0182337
+0.01891
+0.0196351
+0.0205176
+0.0214775
+0.0225704
+0.0237781
+0.0250741
+0.0264364
+0.0278916
+0.0294381
+0.0310426
+0.0326306
+0.0342743
+0.0359272
+0.0375773
+0.0392772
+0.0410229
+0.0428096
+0.0446323
+0.0464861
+0.0483587
+0.0502563
+0.0521769
+0.0541006
+0.0559944
+0.0579091
+0.0598428
+0.0617655
+0.063681
+0.0656138
+0.0675623
+0.0694814
+0.0707742
+0.0721104
+0.0734876
+0.0749036
+0.0763562
+0.077695
+0.0784759
+0.0793096
+0.0801946
+0.0811237
+0.0820947
+0.0826442
+0.0832453
+0.0823434
+0.0814246
+0.0805444
+0.0797148
+0.0789372
+0.0782133
+0.0775445
+0.0769302
+0.0763671
+0.0758632
+0.0754195
+0.0750372
+0.0747169
+0.0744565
+0.0742599
+0.0741276
+0.0734302
+0.0714408
+0.069424
+0.0674176
+0.0654229
+0.0634413
+0.0614738
+0.059497
+0.0575348
+0.0555896
+0.0536633
+0.0517581
+0.0498763
+0.0480037
+0.0461507
+0.0443285
+0.0425286
+0.0407564
+0.0390151
+0.0373082
+0.0356491
+0.0339963
+0.0323975
+0.0308086
+0.0292224
+0.0277187
+0.0262982
+0.0249221
+0.0236338
+0.0224433
+0.021368
+0.0204308
+0.0196424
+0.0190281
+0.018603
+0.0184298
+0.018516
+0.0187867
+0.0192166
+0.0197987
+0.0205063
+0.0212854
+0.0222144
+0.0233117
+0.0244451
+0.0256765
+0.0270103
+0.0284362
+0.0299546
+0.031499
+0.0330793
+0.0347145
+0.0362991
+0.0379334
+0.0396216
+0.0413568
+0.0431336
+0.0449469
+0.0467888
+0.048649
+0.0505205
+0.0523802
+0.0542456
+0.0561346
+0.0580315
+0.0599154
+0.0618195
+0.0637412
+0.0656737
+0.0670054
+0.0682748
+0.06959
+0.0709485
+0.0723478
+0.0737857
+0.0752598
+0.0767682
+0.0783088
+0.07928
+0.0801653
+0.0810947
+0.0820661
+0.0827617
+0.0833619
+0.0823055
+0.0813976
+0.0805172
+0.0796872
+0.0789094
+0.0781852
+0.0775162
+0.0769038
+0.0763493
+0.0758465
+0.0754027
+0.0750203
+0.0746999
+0.0744395
+0.0742429
+0.0741105
+0.0740427
+0.0720932
+0.0700947
+0.068108
+0.0661287
+0.0641449
+0.0621749
+0.0602203
+0.0582823
+0.056363
+0.0544641
+0.0525879
+0.0507254
+0.0488774
+0.0470588
+0.0452631
+0.043492
+0.0417607
+0.040061
+0.0383673
+0.0366991
+0.0350622
+0.0334059
+0.0317986
+0.0302646
+0.0288044
+0.0273556
+0.0260061
+0.0247547
+0.0235948
+0.0225388
+0.0216225
+0.0208371
+0.020249
+0.0198498
+0.0196699
+0.0197036
+0.0199047
+0.0202805
+0.0208113
+0.0214634
+0.022209
+0.0231009
+0.0241157
+0.0252064
+0.0264052
+0.0277243
+0.0291338
+0.0305628
+0.0320726
+0.0336104
+0.0352092
+0.0367961
+0.0384109
+0.0400789
+0.0417952
+0.0435541
+0.0453323
+0.0471213
+0.0489403
+0.0507735
+0.0526197
+0.0544583
+0.0562958
+0.0581533
+0.0600334
+0.0619339
+0.0632053
+0.064487
+0.0658167
+0.067118
+0.0684554
+0.069836
+0.0712572
+0.0727166
+0.074212
+0.0757413
+0.0773023
+0.0788934
+0.0801958
+0.0811249
+0.0820959
+0.0829368
+0.0835358
+0.0823219
+0.0814153
+0.0805495
+0.0797199
+0.0789424
+0.0782185
+0.0775498
+0.0769377
+0.0763835
+0.0758885
+0.0754496
+0.0750674
+0.0747472
+0.074487
+0.0742905
+0.0741582
+0.0740904
+0.0728052
+0.0708111
+0.0688267
+0.066852
+0.0648903
+0.0629437
+0.0610136
+0.0591017
+0.0572098
+0.05534
+0.0534881
+0.0516461
+0.0498322
+0.0480323
+0.0462631
+0.0445309
+0.0428377
+0.0411329
+0.0394569
+0.0377405
+0.0360607
+0.034438
+0.0328812
+0.0313958
+0.029908
+0.028511
+0.0272001
+0.0259907
+0.0248279
+0.023791
+0.0228778
+0.0221369
+0.0215754
+0.0211938
+0.0209979
+0.0209906
+0.0211129
+0.021413
+0.0218518
+0.0224855
+0.0232757
+0.0240732
+0.0250152
+0.0260818
+0.0272585
+0.0285265
+0.0298696
+0.0312769
+0.0327248
+0.03425
+0.0357896
+0.0373421
+0.038956
+0.0406226
+0.0422899
+0.0439922
+0.0457361
+0.0475033
+0.0492801
+0.0510781
+0.0528804
+0.0546805
+0.0565063
+0.0583506
+0.0594986
+0.0607006
+0.0619567
+0.0632637
+0.0646186
+0.0660136
+0.067373
+0.0687753
+0.070218
+0.0716985
+0.0732147
+0.0747644
+0.0763454
+0.0779501
+0.0795817
+0.0812142
+0.0821842
+0.0831694
+0.0837667
+0.0823893
+0.0814834
+0.0806269
+0.0798127
+0.0790361
+0.0783131
+0.0776452
+0.0770338
+0.0764804
+0.075986
+0.075552
+0.0751782
+0.0748586
+0.0745988
+0.0744025
+0.0742704
+0.0742028
+0.0735301
+0.0715542
+0.0695909
+0.0676385
+0.0657003
+0.0637784
+0.0618744
+0.0599899
+0.058127
+0.0562858
+0.0544486
+0.0526193
+0.0508187
+0.0490497
+0.0473161
+0.0456219
+0.0439337
+0.0421735
+0.0404554
+0.0387814
+0.0371483
+0.0355753
+0.0340368
+0.0325219
+0.0310876
+0.0297457
+0.0284436
+0.0272215
+0.0261024
+0.0251184
+0.0242662
+0.0235691
+0.0230235
+0.0226083
+0.0223364
+0.0222272
+0.0223056
+0.0225933
+0.0230092
+0.0235873
+0.0243301
+0.0251214
+0.0260255
+0.0270517
+0.0282047
+0.0294424
+0.0307253
+0.0320818
+0.0334948
+0.0349734
+0.0364646
+0.0380068
+0.0395936
+0.041201
+0.0428346
+0.0445161
+0.0462163
+0.0479407
+0.049682
+0.0514343
+0.0531955
+0.0549185
+0.0559667
+0.0570797
+0.0582528
+0.0594799
+0.0607612
+0.0620934
+0.0634733
+0.0648978
+0.0663397
+0.0677634
+0.0692272
+0.0707285
+0.072265
+0.0738346
+0.0754288
+0.0770515
+0.0787017
+0.0803778
+0.0820781
+0.0832609
+0.0840541
+0.0825148
+0.0816103
+0.0807552
+0.0799509
+0.0791904
+0.0784688
+0.0778022
+0.0771921
+0.0766397
+0.0761464
+0.0757133
+0.0753414
+0.0750295
+0.0747703
+0.0745745
+0.0744427
+0.0743752
+0.0743105
+0.0723559
+0.070415
+0.0684861
+0.0665725
+0.0646766
+0.0627998
+0.060944
+0.0591024
+0.0572542
+0.055431
+0.0536353
+0.0518699
+0.0501381
+0.0484435
+0.0466982
+0.0449395
+0.0432203
+0.0415455
+0.0399149
+0.0383172
+0.0367265
+0.035191
+0.033728
+0.0323473
+0.0309993
+0.029725
+0.0285577
+0.0274927
+0.0265363
+0.0257065
+0.0250018
+0.0244083
+0.0239703
+0.0236802
+0.0235675
+0.0236415
+0.0238824
+0.0242444
+0.0247895
+0.025443
+0.0262472
+0.0271221
+0.0280996
+0.0291858
+0.0303851
+0.031643
+0.0329774
+0.0343586
+0.0357583
+0.037233
+0.0387561
+0.0402789
+0.0418478
+0.043461
+0.0450975
+0.0467611
+0.048442
+0.0501191
+0.0517231
+0.0526528
+0.0536558
+0.0547281
+0.0558658
+0.0570638
+0.058316
+0.0596223
+0.0609794
+0.0623839
+0.0638327
+0.0653206
+0.0667997
+0.0682841
+0.0698057
+0.0713621
+0.0729511
+0.0745643
+0.0762054
+0.0778735
+0.079567
+0.0812843
+0.0830238
+0.0843558
+0.0826786
+0.0817873
+0.0809425
+0.0801401
+0.0793901
+0.0786852
+0.0780205
+0.077412
+0.0768613
+0.0763694
+0.0759375
+0.0755668
+0.075258
+0.0750034
+0.0748082
+0.0746768
+0.0746096
+0.0746066
+0.0732144
+0.0712969
+0.0693925
+0.0675047
+0.0656356
+0.0637871
+0.0619298
+0.0600887
+0.0582717
+0.0564814
+0.0547201
+0.0529909
+0.0512917
+0.0495022
+0.0477463
+0.0460276
+0.0443506
+0.0427094
+0.0410634
+0.0394596
+0.0379079
+0.036422
+0.0350101
+0.0336191
+0.0323025
+0.0310815
+0.0299654
+0.0289281
+0.0279727
+0.027124
+0.0264049
+0.0258437
+0.0254091
+0.0251357
+0.0250281
+0.0250556
+0.0252336
+0.0255564
+0.0260384
+0.0266547
+0.0274009
+0.0282737
+0.0292392
+0.0302761
+0.0314041
+0.032623
+0.0338996
+0.0352179
+0.0365886
+0.0380132
+0.0394834
+0.0409864
+0.0425311
+0.0441107
+0.0457231
+0.0473161
+0.0487654
+0.0495702
+0.0504571
+0.0514144
+0.0524458
+0.053547
+0.0547127
+0.0559355
+0.0572123
+0.0585433
+0.0599248
+0.0613534
+0.062826
+0.0643372
+0.0658801
+0.0673991
+0.0689403
+0.0705158
+0.0721234
+0.0737547
+0.0754134
+0.0770987
+0.0788088
+0.0805423
+0.0822975
+0.0840732
+0.0828971
+0.0820081
+0.0811686
+0.0803801
+0.0796409
+0.0789388
+0.078283
+0.0776766
+0.0771278
+0.0766376
+0.0762073
+0.0758378
+0.0755301
+0.0752849
+0.0751029
+0.0749743
+0.0749073
+0.0749044
+0.0741277
+0.0722345
+0.0703555
+0.0684942
+0.0666356
+0.0647819
+0.0629479
+0.0611375
+0.0593527
+0.0575959
+0.0558698
+0.0541237
+0.0523394
+0.0505871
+0.0488702
+0.0471918
+0.0455069
+0.0438556
+0.042239
+0.0406754
+0.0391719
+0.0377109
+0.0362974
+0.0349588
+0.0336946
+0.0324901
+0.0313656
+0.0303305
+0.0293945
+0.0285811
+0.0278919
+0.0273399
+0.0269425
+0.0266647
+0.0265251
+0.0264861
+0.0266278
+0.0269181
+0.0273689
+0.0279583
+0.0286726
+0.0295076
+0.0304091
+0.0314371
+0.0325298
+0.0336832
+0.0348714
+0.0361411
+0.0374801
+0.0388403
+0.0402363
+0.0417007
+0.0432135
+0.0447467
+0.0461359
+0.0467841
+0.0475215
+0.048347
+0.049256
+0.0502362
+0.0512913
+0.0524168
+0.0536081
+0.0548612
+0.0561717
+0.0575274
+0.0589328
+0.0603849
+0.0618805
+0.0634142
+0.0649791
+0.0665745
+0.0681343
+0.069728
+0.0713534
+0.0730018
+0.0746773
+0.0763788
+0.0781047
+0.0798535
+0.0816235
+0.0834135
+0.0831727
+0.0822868
+0.0814501
+0.0806643
+0.0799308
+0.0792283
+0.07858
+0.0779878
+0.0774479
+0.0769598
+0.0765313
+0.0761634
+0.075857
+0.0756129
+0.0754316
+0.0753137
+0.0752593
+0.0752647
+0.0750939
+0.0732256
+0.0713597
+0.0695034
+0.0676556
+0.0658288
+0.0640249
+0.0622458
+0.0604937
+0.058771
+0.0569835
+0.0552047
+0.0534565
+0.051742
+0.0500335
+0.0483353
+0.0466779
+0.0450601
+0.0434875
+0.0419492
+0.0404467
+0.0390094
+0.0376447
+0.0363435
+0.0350716
+0.0338922
+0.032798
+0.0317917
+0.030894
+0.0301111
+0.0294522
+0.0289181
+0.0284994
+0.0281899
+0.0280112
+0.0279743
+0.0280835
+0.0283439
+0.028712
+0.0292082
+0.0298572
+0.0306493
+0.0315377
+0.03253
+0.0335846
+0.0346615
+0.0358355
+0.0370812
+0.0383438
+0.0396363
+0.0410052
+0.042443
+0.043837
+0.0443203
+0.0449054
+0.0455883
+0.0463479
+0.047194
+0.0481247
+0.0491275
+0.0502059
+0.0513551
+0.0525706
+0.0538478
+0.0551824
+0.0565703
+0.0579993
+0.0594743
+0.0609922
+0.0625501
+0.0641402
+0.0657608
+0.0673899
+0.0690008
+0.0706429
+0.0723076
+0.0739987
+0.0757155
+0.0774562
+0.0792193
+0.0810032
+0.0828066
+0.0835049
+0.0826225
+0.0817893
+0.0810068
+0.0802765
+0.0795771
+0.0789317
+0.0783421
+0.0778099
+0.077336
+0.0769164
+0.0765503
+0.0762455
+0.0760026
+0.0758223
+0.0757049
+0.0756508
+0.0756602
+0.0757329
+0.0742392
+0.0723886
+0.0705483
+0.0687286
+0.0669312
+0.0651577
+0.0634104
+0.0616669
+0.0598669
+0.0580938
+0.0563501
+0.0546164
+0.0528837
+0.0511861
+0.0495272
+0.047898
+0.0462981
+0.0447477
+0.0432314
+0.041775
+0.040385
+0.0390221
+0.0377193
+0.0364939
+0.0353619
+0.0343014
+0.0333274
+0.0324701
+0.0317142
+0.0310723
+0.0304871
+0.0300386
+0.0297318
+0.0295314
+0.0294542
+0.0295195
+0.0297137
+0.030034
+0.0305087
+0.0311306
+0.0318654
+0.0327044
+0.0336622
+0.0346479
+0.0356926
+0.0368382
+0.0380497
+0.0392683
+0.0405301
+0.0418686
+0.0422516
+0.0426404
+0.0431371
+0.043738
+0.0444389
+0.0452336
+0.046111
+0.0470634
+0.0480931
+0.0491941
+0.0503665
+0.0516052
+0.0529057
+0.0542635
+0.0556743
+0.0571258
+0.0586227
+0.0601621
+0.0617409
+0.0633562
+0.0650051
+0.0666775
+0.0683361
+0.0699939
+0.0716736
+0.0733793
+0.0751103
+0.0768647
+0.078641
+0.0804377
+0.0822536
+0.083893
+0.0830148
+0.0821856
+0.0814068
+0.0806801
+0.0799844
+0.0793423
+0.0787559
+0.0782264
+0.0777551
+0.0773429
+0.076991
+0.0766946
+0.0764531
+0.0762739
+0.0761572
+0.0761035
+0.0761128
+0.0761851
+0.0752907
+0.0734578
+0.071645
+0.0698539
+0.0680861
+0.0663436
+0.0645642
+0.0627709
+0.0610035
+0.0592256
+0.0574647
+0.0557342
+0.0540364
+0.052367
+0.0507372
+0.0491342
+0.047576
+0.0460562
+0.0445845
+0.0431555
+0.0417568
+0.0404241
+0.0391679
+0.0379893
+0.0368815
+0.0358635
+0.034933
+0.0340753
+0.0332769
+0.0325994
+0.0320369
+0.0315837
+0.0312343
+0.0309957
+0.0309024
+0.0309404
+0.0311266
+0.0314422
+0.0318701
+0.0324359
+0.0331223
+0.0339309
+0.0348178
+0.0357727
+0.0368191
+0.0379055
+0.0390615
+0.0402687
+0.0406616
+0.0408311
+0.0411167
+0.0415162
+0.0420262
+0.0426427
+0.0433611
+0.0441746
+0.04508
+0.0460666
+0.0471219
+0.0482536
+0.0494548
+0.0507161
+0.0520388
+0.0534187
+0.0548512
+0.0563239
+0.0578416
+0.0594013
+0.0609998
+0.0626341
+0.0643016
+0.0659965
+0.0677186
+0.0694079
+0.0711014
+0.0728206
+0.0745645
+0.0763315
+0.0781199
+0.0798464
+0.0814088
+0.0843288
+0.0834551
+0.0826303
+0.0818558
+0.0811331
+0.0804494
+0.079811
+0.079228
+0.0787017
+0.0782333
+0.0778237
+0.0774739
+0.0771847
+0.0769568
+0.0767853
+0.0766694
+0.076616
+0.0766253
+0.0766971
+0.0763821
+0.0745761
+0.0727911
+0.0710289
+0.0692893
+0.0674793
+0.0656799
+0.0638715
+0.0620877
+0.0603307
+0.058603
+0.0569029
+0.0552331
+0.0536009
+0.0520003
+0.0504354
+0.0489141
+0.0474258
+0.045958
+0.0445391
+0.0431811
+0.0418938
+0.040677
+0.039529
+0.0384626
+0.0374427
+0.0364793
+0.0356053
+0.0348298
+0.034158
+0.033556
+0.033082
+0.032738
+0.0325022
+0.0324089
+0.0324208
+0.0325701
+0.0328539
+0.0332629
+0.0338049
+0.0344452
+0.0351673
+0.0360015
+0.0369258
+0.0379428
+0.0390024
+0.0395581
+0.0395134
+0.0395901
+0.0397764
+0.0400696
+0.0404794
+0.0410023
+0.041634
+0.0423686
+0.0432008
+0.0441262
+0.045139
+0.0462276
+0.0473806
+0.0486051
+0.0498958
+0.0512476
+0.0526515
+0.0541044
+0.0555969
+0.0571338
+0.0587123
+0.0603291
+0.0619811
+0.0636657
+0.0653771
+0.0671151
+0.068879
+0.0705927
+0.0723239
+0.0740796
+0.0758551
+0.0774819
+0.0790304
+0.0806086
+0.0848119
+0.0839433
+0.0831233
+0.0823534
+0.0816351
+0.0809698
+0.0803367
+0.0797575
+0.0792348
+0.0787695
+0.0783627
+0.0780153
+0.0777282
+0.0775019
+0.077337
+0.0772294
+0.0771764
+0.0771855
+0.0772568
+0.0773901
+0.0757412
+0.0739844
+0.0722131
+0.070377
+0.0685525
+0.06675
+0.0649714
+0.0632187
+0.0614939
+0.0597923
+0.058123
+0.0564893
+0.0548905
+0.0533215
+0.0517966
+0.0502767
+0.0487962
+0.0473606
+0.0459816
+0.0446676
+0.0434192
+0.0422154
+0.0410564
+0.0399717
+0.038957
+0.0380209
+0.0371563
+0.036381
+0.035686
+0.0351063
+0.0346535
+0.0342981
+0.03406
+0.0339334
+0.0339349
+0.0340775
+0.0343384
+0.0347212
+0.0351897
+0.0357668
+0.0364627
+0.037261
+0.0381574
+0.0390302
+0.0387379
+0.0385681
+0.0385223
+0.0386009
+0.0388033
+0.0391172
+0.0395369
+0.0400721
+0.0407182
+0.0414683
+0.0423182
+0.0432624
+0.044295
+0.0454098
+0.0465934
+0.047838
+0.0491488
+0.0505206
+0.0519487
+0.0534258
+0.0549378
+0.0564943
+0.0580918
+0.0597268
+0.0613965
+0.0630967
+0.0648258
+0.0665783
+0.068356
+0.0701428
+0.0718815
+0.0736444
+0.0751708
+0.0767033
+0.0782672
+0.0798605
+0.0853485
+0.0844854
+0.0836707
+0.082906
+0.0821925
+0.081531
+0.0809126
+0.0803378
+0.0798188
+0.079357
+0.0789532
+0.0786084
+0.0783235
+0.0780989
+0.0779353
+0.0778331
+0.0777924
+0.0778025
+0.0778732
+0.0780055
+0.0769511
+0.0750999
+0.073262
+0.071444
+0.0696474
+0.0678741
+0.0661257
+0.0644014
+0.0627018
+0.0610334
+0.0593981
+0.0577971
+0.0562302
+0.054686
+0.0531552
+0.0516643
+0.0502148
+0.0488181
+0.047454
+0.0461349
+0.0448729
+0.0436746
+0.0425553
+0.0415042
+0.0405155
+0.0395879
+0.0387227
+0.0379443
+0.0372784
+0.0367065
+0.0362509
+0.0358789
+0.0356379
+0.0355087
+0.0355101
+0.0356233
+0.0358492
+0.036163
+0.0365959
+0.037148
+0.0378124
+0.0385718
+0.0385738
+0.0381525
+0.0378534
+0.0376796
+0.0376327
+0.0377132
+0.0379203
+0.0382482
+0.0386821
+0.0392289
+0.0398887
+0.040656
+0.0415248
+0.0424889
+0.043542
+0.0446774
+0.0458885
+0.0471603
+0.0484894
+0.0498794
+0.0513252
+0.0528219
+0.0543519
+0.0559247
+0.057538
+0.0591883
+0.0608728
+0.0625873
+0.0643306
+0.0661005
+0.067895
+0.0697121
+0.0714365
+0.0729181
+0.0744326
+0.07598
+0.0775584
+0.079166
+0.0859377
+0.0850805
+0.0842716
+0.0835123
+0.0828041
+0.0821399
+0.0815261
+0.080967
+0.0804522
+0.079994
+0.0795935
+0.0792515
+0.0789688
+0.0787461
+0.0785839
+0.0784824
+0.0784421
+0.0784629
+0.0785449
+0.078677
+0.0779947
+0.0761637
+0.0743521
+0.0725614
+0.0707932
+0.0690493
+0.0673255
+0.0656284
+0.0639614
+0.062325
+0.0607222
+0.0591327
+0.0575567
+0.0560221
+0.0545239
+0.0530634
+0.0516089
+0.0502079
+0.048865
+0.0475791
+0.046352
+0.0451929
+0.0441015
+0.0430619
+0.0421058
+0.0411637
+0.0403137
+0.0395454
+0.038882
+0.0383325
+0.0378564
+0.037494
+0.0372385
+0.0371108
+0.0371064
+0.0371729
+0.0373549
+0.0376413
+0.038052
+0.0385693
+0.0390076
+0.0383469
+0.0378018
+0.0373758
+0.0370705
+0.0368929
+0.036845
+0.0369272
+0.0371296
+0.0374556
+0.0379055
+0.0384751
+0.0391531
+0.0399345
+0.0408187
+0.0417991
+0.0428691
+0.0440222
+0.045252
+0.0465525
+0.0479104
+0.0493247
+0.0507887
+0.0523012
+0.0538488
+0.0554359
+0.057063
+0.0587267
+0.060424
+0.0621509
+0.0639061
+0.0656874
+0.0674929
+0.0692672
+0.0707271
+0.0722233
+0.073752
+0.0753134
+0.0769055
+0.0785265
+0.0865782
+0.0857275
+0.0849247
+0.0841714
+0.0834642
+0.0828023
+0.0821934
+0.0816389
+0.0811397
+0.0806855
+0.0802884
+0.0799494
+0.0796692
+0.0794485
+0.0792877
+0.0791871
+0.0791472
+0.0791678
+0.079249
+0.0793906
+0.0790803
+0.077275
+0.0754901
+0.073727
+0.0719856
+0.0702645
+0.0685702
+0.0669047
+0.0652679
+0.0636458
+0.0620298
+0.06045
+0.0589092
+0.0573978
+0.0558844
+0.0544171
+0.0529998
+0.0516366
+0.0503275
+0.0490744
+0.0478856
+0.0467457
+0.0456613
+0.0446432
+0.0436497
+0.0427369
+0.0419171
+0.0411752
+0.040514
+0.0399422
+0.0394837
+0.0391293
+0.0388845
+0.0387425
+0.0386792
+0.0387322
+0.0388853
+0.0391606
+0.0395427
+0.0391394
+0.0383561
+0.037684
+0.0371291
+0.0366962
+0.0363852
+0.0362043
+0.0361555
+0.0362393
+0.0364445
+0.0367765
+0.0372347
+0.0378144
+0.0385102
+0.0393159
+0.0402196
+0.0412143
+0.0422991
+0.0434673
+0.0447124
+0.0460281
+0.0474011
+0.0488301
+0.050314
+0.051848
+0.0534225
+0.05503
+0.0566687
+0.0583437
+0.0600519
+0.0617891
+0.0635543
+0.0653453
+0.0671599
+0.0686053
+0.0700791
+0.0715888
+0.0731308
+0.0747052
+0.07631
+0.0779433
+0.0872691
+0.0864252
+0.085629
+0.0848809
+0.0841731
+0.0835168
+0.0829133
+0.0823635
+0.0818688
+0.0814299
+0.0810366
+0.0807008
+0.0804232
+0.0802045
+0.0800452
+0.0799457
+0.0799061
+0.0799265
+0.080007
+0.0801472
+0.080211
+0.0784317
+0.0766738
+0.074934
+0.0732166
+0.0715251
+0.0698612
+0.0682121
+0.0665628
+0.0649454
+0.0633626
+0.061808
+0.0602549
+0.0587334
+0.0572553
+0.0558241
+0.0544434
+0.0531143
+0.0518361
+0.0506204
+0.0494425
+0.0483192
+0.0472451
+0.0461967
+0.0452286
+0.0443405
+0.0435289
+0.0427949
+0.0421526
+0.0416033
+0.0411633
+0.0408165
+0.0405397
+0.0403537
+0.0402844
+0.040311
+0.040456
+0.0405012
+0.0395144
+0.0386146
+0.0378204
+0.0371386
+0.0365755
+0.0361366
+0.035821
+0.0356373
+0.0355877
+0.0356728
+0.0358803
+0.0362175
+0.0366826
+0.0372709
+0.0379767
+0.0387934
+0.0397144
+0.0407309
+0.0418282
+0.0430092
+0.0442672
+0.0455958
+0.0469884
+0.0484296
+0.0499254
+0.051471
+0.053062
+0.0546945
+0.0563541
+0.0580409
+0.0597577
+0.0615033
+0.0632765
+0.0650751
+0.0665602
+0.0680077
+0.0694916
+0.0710115
+0.0725657
+0.0741521
+0.0757686
+0.0774134
+0.088009
+0.0871722
+0.0863829
+0.0856342
+0.0849327
+0.0842823
+0.0836843
+0.0831396
+0.0826495
+0.0822148
+0.0818365
+0.0815041
+0.0812293
+0.0810128
+0.0808551
+0.0807565
+0.0807173
+0.0807376
+0.0808172
+0.0809561
+0.0811539
+0.0796298
+0.0778927
+0.0761791
+0.0744904
+0.0728216
+0.0711442
+0.0694954
+0.0678772
+0.0662751
+0.0646865
+0.0631335
+0.0616064
+0.0601191
+0.058676
+0.0572802
+0.0559339
+0.0546338
+0.0533853
+0.0521748
+0.0510166
+0.049887
+0.0487959
+0.0477804
+0.0468381
+0.0459684
+0.0451706
+0.0444636
+0.0438394
+0.0433043
+0.0428559
+0.0424726
+0.0421815
+0.0419961
+0.0419118
+0.0419315
+0.0411971
+0.0401141
+0.0391175
+0.0382083
+0.0374055
+0.036716
+0.0361463
+0.0357021
+0.0353837
+0.0351976
+0.0351474
+0.0352336
+0.0354427
+0.035784
+0.0362547
+0.0368499
+0.0375635
+0.0383891
+0.0393195
+0.0403459
+0.0414535
+0.0426449
+0.0439133
+0.0452523
+0.0466557
+0.048118
+0.0496306
+0.051185
+0.0527847
+0.0544255
+0.0561039
+0.0578113
+0.0595427
+0.0612945
+0.0630735
+0.0645975
+0.0660121
+0.0674682
+0.0689632
+0.0704945
+0.0720599
+0.0736572
+0.0752843
+0.0769394
+0.0887899
+0.0879606
+0.0871784
+0.0864365
+0.0857415
+0.0850973
+0.084505
+0.0839657
+0.0834805
+0.0830501
+0.0826757
+0.0823578
+0.0820859
+0.0818717
+0.0817157
+0.0816181
+0.0815793
+0.0815994
+0.0816782
+0.0818156
+0.0820113
+0.0808601
+0.07915
+0.0774642
+0.0757654
+0.0740898
+0.0724418
+0.0707992
+0.0691758
+0.0675844
+0.0660273
+0.0645002
+0.0630051
+0.0615517
+0.0601429
+0.0587815
+0.0574624
+0.056176
+0.0549409
+0.0537388
+0.0525662
+0.0514388
+0.0503816
+0.0493989
+0.0484802
+0.0476294
+0.0468571
+0.0461752
+0.0455394
+0.04499
+0.0445374
+0.0441392
+0.0438378
+0.0436443
+0.0433647
+0.0421099
+0.0409339
+0.0398438
+0.0388403
+0.0379245
+0.0371155
+0.0364205
+0.0358461
+0.0353982
+0.035078
+0.0348903
+0.0348396
+0.0349265
+0.0351365
+0.0354807
+0.0359554
+0.0365554
+0.0372747
+0.0381066
+0.0390437
+0.0400772
+0.041192
+0.0423907
+0.0436665
+0.0450129
+0.0464236
+0.047893
+0.0494158
+0.0509873
+0.0525972
+0.0542437
+0.0559275
+0.0576454
+0.0593945
+0.0611617
+0.0627226
+0.0641037
+0.065529
+0.0669956
+0.0685008
+0.0700423
+0.0716175
+0.0732245
+0.074861
+0.0765253
+0.0896175
+0.0887959
+0.0880211
+0.0872863
+0.0865982
+0.0859605
+0.0853742
+0.0848404
+0.0843601
+0.0839343
+0.0835638
+0.0832493
+0.0829914
+0.0827797
+0.0826254
+0.0825289
+0.0824906
+0.0825104
+0.0825883
+0.0827242
+0.0829178
+0.0818749
+0.0802097
+0.0785702
+0.0769582
+0.0753702
+0.0737172
+0.0720929
+0.0704993
+0.0689385
+0.0674117
+0.0659104
+0.064448
+0.0630278
+0.0616527
+0.0603045
+0.0589974
+0.0577274
+0.0564984
+0.0552889
+0.0541297
+0.0530356
+0.0520108
+0.0510529
+0.050159
+0.0493292
+0.048561
+0.0478543
+0.0472302
+0.0466908
+0.0461986
+0.045806
+0.0455134
+0.0445572
+0.043226
+0.041967
+0.0407869
+0.0396928
+0.0386854
+0.0377658
+0.0369533
+0.0362552
+0.0356781
+0.0352281
+0.0349073
+0.0347187
+0.0346678
+0.0347541
+0.0349651
+0.0353111
+0.035788
+0.0363908
+0.0371132
+0.0379486
+0.0388896
+0.0399271
+0.0410459
+0.0422488
+0.0435288
+0.0448792
+0.046294
+0.0477674
+0.0492941
+0.0508693
+0.0524888
+0.0541484
+0.0558367
+0.0575573
+0.0593089
+0.0609475
+0.0622909
+0.0636814
+0.0651159
+0.0665916
+0.0681058
+0.069656
+0.0712398
+0.0728551
+0.0744997
+0.0761719
+0.0904905
+0.0896769
+0.0889098
+0.0881825
+0.0875014
+0.0868703
+0.0862901
+0.0857621
+0.085287
+0.0848659
+0.0844994
+0.0841884
+0.0839334
+0.083735
+0.0835825
+0.0834871
+0.0834492
+0.0834688
+0.0835458
+0.0836802
+0.0834944
+0.0818034
+0.0801367
+0.0784958
+0.0768822
+0.0752978
+0.0737444
+0.0722241
+0.070739
+0.0692913
+0.0678834
+0.0665175
+0.0651935
+0.0639173
+0.0626917
+0.0615197
+0.0604044
+0.0592798
+0.0580492
+0.056862
+0.0557354
+0.0546735
+0.0536717
+0.0527328
+0.0518365
+0.0510003
+0.0502443
+0.0495538
+0.0489374
+0.0483689
+0.047894
+0.047386
+0.045928
+0.0445301
+0.0431981
+0.0419382
+0.0407573
+0.0396623
+0.0386541
+0.0377338
+0.0369206
+0.0362216
+0.0356436
+0.0351924
+0.0348727
+0.0346845
+0.0346335
+0.0347192
+0.0349306
+0.0352768
+0.0357542
+0.0363576
+0.0370807
+0.0379168
+0.0388585
+0.0398968
+0.0410165
+0.0422202
+0.043501
+0.0448523
+0.0462679
+0.0477421
+0.0492696
+0.0508456
+0.0524658
+0.0541261
+0.0558231
+0.0575493
+0.0592802
+0.0605825
+0.0619338
+0.0633321
+0.0647744
+0.0662577
+0.0677793
+0.0693368
+0.0709278
+0.07255
+0.0742014
+0.0758802
+0.0914077
+0.0906024
+0.0898432
+0.0891215
+0.0884476
+0.0878233
+0.0872495
+0.0867273
+0.0862575
+0.0858411
+0.0854789
+0.0851715
+0.0849194
+0.0847233
+0.0845747
+0.0844804
+0.084443
+0.0844623
+0.0845384
+0.0846712
+0.0834818
+0.0817906
+0.0801236
+0.0784824
+0.0768686
+0.0752839
+0.0737302
+0.0722096
+0.0707242
+0.0692762
+0.067868
+0.0665017
+0.0651775
+0.0639009
+0.062675
+0.0615026
+0.060387
+0.0593314
+0.0583389
+0.0574129
+0.0565566
+0.0557733
+0.0550661
+0.0543937
+0.0535077
+0.052698
+0.0519567
+0.0512664
+0.0506358
+0.0500866
+0.048972
+0.0474617
+0.0460061
+0.0446106
+0.0432811
+0.0420238
+0.0408453
+0.0397455
+0.0387264
+0.0378069
+0.0369944
+0.0362961
+0.0357187
+0.0352682
+0.0349494
+0.0347614
+0.0347105
+0.0347973
+0.0350131
+0.0353636
+0.0358448
+0.0364515
+0.0371769
+0.0380114
+0.0389508
+0.0399867
+0.041104
+0.0423052
+0.0435835
+0.0449323
+0.0463455
+0.0478173
+0.0493424
+0.0509162
+0.0525342
+0.0541924
+0.0558874
+0.0576116
+0.0589646
+0.060288
+0.0616525
+0.0630571
+0.0645055
+0.0659948
+0.0675224
+0.0690857
+0.0706823
+0.07231
+0.0739668
+0.0756507
+0.0923678
+0.0915709
+0.0908178
+0.0901034
+0.089437
+0.0888196
+0.0882523
+0.087736
+0.0872717
+0.0868602
+0.0865022
+0.0861984
+0.0859494
+0.0857556
+0.0856114
+0.0855183
+0.0854813
+0.0855004
+0.0855756
+0.0852398
+0.0835267
+0.0818365
+0.0801704
+0.0785302
+0.0769173
+0.0753337
+0.0737811
+0.0722615
+0.0707772
+0.0693303
+0.0679232
+0.0665581
+0.065235
+0.0639596
+0.0627348
+0.0615636
+0.0604491
+0.0593945
+0.0584031
+0.0574782
+0.0566229
+0.0558405
+0.0551341
+0.0544949
+0.053936
+0.0534611
+0.0530724
+0.0527718
+0.0522889
+0.0506881
+0.0491329
+0.0476276
+0.0461773
+0.0447872
+0.043463
+0.0422111
+0.0410379
+0.0399328
+0.0389186
+0.0380037
+0.0371955
+0.0365011
+0.035927
+0.0354791
+0.0351617
+0.0349745
+0.034924
+0.0350107
+0.0352256
+0.035574
+0.0360523
+0.0366556
+0.0373777
+0.0382119
+0.0391511
+0.0401879
+0.0413076
+0.0425031
+0.0437756
+0.0451187
+0.0465262
+0.0479924
+0.0495122
+0.0510807
+0.0526937
+0.0543471
+0.0560373
+0.0574535
+0.0587292
+0.0600577
+0.0614313
+0.0628408
+0.0642941
+0.0657882
+0.0673205
+0.0688883
+0.0704894
+0.0721209
+0.0737771
+0.0754605
+0.0930916
+0.0925811
+0.0918338
+0.0911274
+0.0904685
+0.0898582
+0.0892975
+0.0887873
+0.0883285
+0.0879219
+0.0875683
+0.0872682
+0.0870223
+0.0868309
+0.0866911
+0.0865992
+0.0865626
+0.0865815
+0.0866558
+0.08534
+0.083629
+0.0819409
+0.080277
+0.078639
+0.0770284
+0.0754471
+0.0738969
+0.0723798
+0.0708979
+0.0694535
+0.068049
+0.0666864
+0.0653659
+0.0640931
+0.0628709
+0.0617023
+0.0605904
+0.0595383
+0.0585494
+0.0576267
+0.0567737
+0.0559934
+0.055289
+0.0546516
+0.0540943
+0.0536208
+0.0532332
+0.0529336
+0.0525229
+0.0509295
+0.0493818
+0.0478844
+0.046442
+0.0450601
+0.0437442
+0.0425006
+0.0413356
+0.0402387
+0.0392324
+0.038325
+0.0375237
+0.0368355
+0.0362667
+0.0358231
+0.0355078
+0.0353225
+0.0352724
+0.0353583
+0.0355719
+0.035917
+0.0363908
+0.0369886
+0.0377043
+0.0385315
+0.039463
+0.0404918
+0.0416106
+0.0428123
+0.0440759
+0.0454101
+0.0468088
+0.0482665
+0.0497779
+0.0513383
+0.0529434
+0.0545892
+0.0560729
+0.0572956
+0.0585748
+0.0598914
+0.061258
+0.0626714
+0.0641285
+0.0656264
+0.0671624
+0.0687338
+0.0703344
+0.0719638
+0.0736224
+0.0753082
+0.0938105
+0.0935632
+0.0928904
+0.0921921
+0.0915409
+0.0909378
+0.0903838
+0.0898797
+0.0894266
+0.089025
+0.0886757
+0.0883794
+0.0881366
+0.0879477
+0.0878122
+0.0877215
+0.0876854
+0.087704
+0.0872257
+0.0854963
+0.0837885
+0.0821036
+0.0804431
+0.0788086
+0.0772015
+0.0756238
+0.0740773
+0.072564
+0.0710859
+0.0696454
+0.0682449
+0.0668863
+0.0655698
+0.0643011
+0.0630829
+0.0619183
+0.0608103
+0.0597621
+0.0587769
+0.0578579
+0.0570084
+0.0562275
+0.0555204
+0.0548916
+0.0543405
+0.0538692
+0.0534834
+0.0531852
+0.0528467
+0.0512633
+0.0497261
+0.0482393
+0.0468079
+0.0454371
+0.0441325
+0.0429001
+0.0417463
+0.0406605
+0.0396649
+0.0387676
+0.0379757
+0.0372957
+0.0367341
+0.0362962
+0.0359842
+0.0358013
+0.035752
+0.0358367
+0.0360483
+0.0363889
+0.0368567
+0.037447
+0.0381541
+0.0389717
+0.039893
+0.040911
+0.0420186
+0.0432089
+0.0444651
+0.0457879
+0.0471755
+0.0486221
+0.0501228
+0.0516728
+0.0532678
+0.0548321
+0.0559797
+0.0571883
+0.058454
+0.0597732
+0.0611425
+0.0625585
+0.0640182
+0.0655186
+0.067057
+0.0686309
+0.0702338
+0.0718655
+0.0735263
+0.0752142
+0.0945747
+0.0943294
+0.0939862
+0.0932961
+0.0926526
+0.0920568
+0.0915096
+0.0910118
+0.0905643
+0.0901678
+0.089823
+0.0895304
+0.0892907
+0.0891043
+0.0889713
+0.0888836
+0.088848
+0.0888663
+0.0874335
+0.0857083
+0.0840048
+0.0823244
+0.0806684
+0.0790385
+0.0774362
+0.0758634
+0.0743219
+0.0728136
+0.0713408
+0.0699055
+0.0685103
+0.0671571
+0.065846
+0.0645827
+0.0633699
+0.0622107
+0.061108
+0.060065
+0.0590816
+0.058162
+0.0573114
+0.0565329
+0.0558297
+0.0552044
+0.0546599
+0.0541971
+0.0538137
+0.0535173
+0.0532587
+0.051688
+0.0501637
+0.0486904
+0.0472726
+0.0459157
+0.0446251
+0.0434067
+0.0422667
+0.0411946
+0.0402122
+0.0393274
+0.038547
+0.0378773
+0.0373244
+0.0368935
+0.0365858
+0.0364059
+0.0363574
+0.0364407
+0.0366497
+0.0369847
+0.037445
+0.0380262
+0.0387228
+0.0395286
+0.0404372
+0.0414418
+0.0425356
+0.0437119
+0.044954
+0.0462629
+0.0476366
+0.0490696
+0.0505571
+0.0520941
+0.0536766
+0.0547906
+0.0559391
+0.0571485
+0.0584151
+0.0597352
+0.0611053
+0.0625221
+0.0639826
+0.0654839
+0.0670231
+0.0685977
+0.0702014
+0.0718338
+0.0734954
+0.075184
+0.0953832
+0.0951399
+0.0949467
+0.094438
+0.0938024
+0.0932139
+0.0926735
+0.092182
+0.0917402
+0.0913488
+0.0910085
+0.0907198
+0.0904832
+0.0902992
+0.090168
+0.090084
+0.0900488
+0.0894361
+0.0876956
+0.0859756
+0.0842775
+0.0826027
+0.0809524
+0.0793283
+0.077732
+0.0761653
+0.07463
+0.0731281
+0.0716617
+0.070233
+0.0688444
+0.0674979
+0.0661936
+0.064937
+0.063731
+0.0625756
+0.0614743
+0.0604325
+0.0594531
+0.0585393
+0.0576943
+0.0569211
+0.0562227
+0.0556019
+0.0550612
+0.0546018
+0.0542213
+0.0539272
+0.0537208
+0.0522012
+0.0506924
+0.0492348
+0.0478332
+0.0464927
+0.0452185
+0.0440166
+0.0428928
+0.0418367
+0.0408698
+0.0399995
+0.0392325
+0.0385747
+0.0380319
+0.0376091
+0.0373066
+0.0371301
+0.0370825
+0.0371642
+0.03737
+0.0376986
+0.0381503
+0.0387209
+0.0394052
+0.0401974
+0.0410912
+0.0420802
+0.0431578
+0.0443176
+0.0455432
+0.0468356
+0.0481929
+0.0496099
+0.0510816
+0.0526034
+0.053754
+0.0548367
+0.0559843
+0.0571927
+0.0584583
+0.0597774
+0.0611466
+0.0625625
+0.0640221
+0.0655224
+0.0670608
+0.0686345
+0.0702374
+0.071869
+0.0735297
+0.0752176
+0.0962347
+0.0959936
+0.0958021
+0.0956165
+0.0949887
+0.0944077
+0.0938741
+0.0933889
+0.0929529
+0.0925666
+0.0922308
+0.0919459
+0.0917125
+0.091531
+0.0914016
+0.0913211
+0.0912865
+0.0897458
+0.0880114
+0.0862978
+0.0846061
+0.0829379
+0.0812944
+0.0796773
+0.0780882
+0.0765287
+0.0750009
+0.0735065
+0.0720479
+0.070627
+0.0692463
+0.0679077
+0.066609
+0.0653556
+0.0641526
+0.0630027
+0.061909
+0.0608746
+0.0599024
+0.0589956
+0.0581573
+0.0573903
+0.0566977
+0.0560821
+0.0555462
+0.0550908
+0.0547137
+0.0544222
+0.0542177
+0.0528004
+0.0513092
+0.0498697
+0.0484864
+0.0471644
+0.0459089
+0.0447255
+0.04362
+0.042582
+0.0416323
+0.0407784
+0.0400263
+0.0393818
+0.0388503
+0.0384365
+0.0381396
+0.0379671
+0.0379206
+0.0380004
+0.0382025
+0.038524
+0.0389662
+0.039525
+0.0401956
+0.0409725
+0.0418498
+0.0428212
+0.0438807
+0.0450218
+0.0462287
+0.0475025
+0.0488413
+0.05024
+0.0516938
+0.0528788
+0.0538901
+0.0549701
+0.0561149
+0.0573206
+0.0585835
+0.0598998
+0.0612663
+0.0626795
+0.0641364
+0.0656341
+0.0671699
+0.0687412
+0.0703416
+0.0719708
+0.0736293
+0.0753149
+0.0971281
+0.0968893
+0.0966995
+0.0965591
+0.0962092
+0.0956356
+0.0951089
+0.0946301
+0.0941998
+0.0938186
+0.0934873
+0.0932063
+0.092976
+0.092797
+0.0926694
+0.0925934
+0.0918491
+0.0901019
+0.0883745
+0.086668
+0.0849838
+0.0833231
+0.0816874
+0.0800782
+0.0784972
+0.076946
+0.0754266
+0.0739409
+0.072491
+0.071079
+0.0697072
+0.068374
+0.067082
+0.0658376
+0.0646435
+0.0635026
+0.0624176
+0.0613918
+0.0604279
+0.0595291
+0.0586984
+0.0579386
+0.0572526
+0.056643
+0.0561125
+0.0556617
+0.0552885
+0.0550001
+0.0547978
+0.0534826
+0.052011
+0.0505915
+0.0492285
+0.047927
+0.046692
+0.045529
+0.0444434
+0.0434251
+0.0424943
+0.041658
+0.040922
+0.0402919
+0.0397726
+0.0393677
+0.0390779
+0.0389095
+0.0388641
+0.0389421
+0.0391401
+0.0394539
+0.0398858
+0.0404319
+0.0410877
+0.041848
+0.0427073
+0.0436597
+0.0446993
+0.04582
+0.0470065
+0.0482597
+0.0495781
+0.0509566
+0.0521732
+0.0531076
+0.0541146
+0.0551902
+0.0563306
+0.0575318
+0.0587901
+0.0601019
+0.0614638
+0.0628726
+0.0643252
+0.0658186
+0.0673501
+0.0689173
+0.0705137
+0.0721391
+0.0737937
+0.0754757
+0.0980624
+0.0978259
+0.0976379
+0.0974988
+0.0974088
+0.0968914
+0.0963716
+0.095899
+0.0954744
+0.0950984
+0.0947715
+0.0944943
+0.0942672
+0.0940906
+0.0939648
+0.0938899
+0.0922447
+0.0905052
+0.0887856
+0.0870872
+0.0854112
+0.083759
+0.082132
+0.0805317
+0.0789597
+0.0774179
+0.0759079
+0.0744318
+0.0729916
+0.0715895
+0.0702277
+0.0689045
+0.0676227
+0.0663884
+0.0652044
+0.0640734
+0.0629984
+0.0619821
+0.0610276
+0.0601378
+0.0593155
+0.0585637
+0.0578851
+0.0572823
+0.0567577
+0.0563121
+0.0559433
+0.0556582
+0.0554583
+0.0542449
+0.0527945
+0.0513966
+0.0500556
+0.0487761
+0.0475631
+0.0464219
+0.0453578
+0.0443604
+0.0434497
+0.0426322
+0.0419133
+0.0412983
+0.0407918
+0.0403963
+0.040114
+0.03995
+0.0399058
+0.0399817
+0.0401753
+0.0404811
+0.0409022
+0.0414349
+0.0420751
+0.0428179
+0.0436581
+0.0445902
+0.0456085
+0.0467075
+0.0478719
+0.0491031
+0.0503994
+0.0516329
+0.0524881
+0.053417
+0.0544183
+0.0554881
+0.0566224
+0.0578175
+0.0590697
+0.0603755
+0.0617314
+0.0631342
+0.0645809
+0.0660685
+0.0675944
+0.0691561
+0.0707511
+0.0723733
+0.0740227
+0.0756996
+0.0990363
+0.0988021
+0.098616
+0.0984783
+0.0983892
+0.09818
+0.097667
+0.0972008
+0.0967819
+0.096411
+0.0960886
+0.0958152
+0.0955912
+0.0954171
+0.0952929
+0.0944405
+0.0926904
+0.0909594
+0.0892486
+0.0875592
+0.0858924
+0.0842496
+0.0826323
+0.0810418
+0.07948
+0.0779484
+0.0764489
+0.0749835
+0.0735541
+0.0721629
+0.0708121
+0.0695001
+0.0682295
+0.0670064
+0.0658335
+0.0647135
+0.0636492
+0.0626435
+0.0616992
+0.0608192
+0.0600064
+0.0592633
+0.0585928
+0.0579974
+0.0574793
+0.0570394
+0.0566752
+0.0563939
+0.0561966
+0.0550837
+0.053656
+0.0522812
+0.0509634
+0.0497073
+0.0485177
+0.0473994
+0.0463577
+0.0453824
+0.0444925
+0.0436945
+0.0429934
+0.0423941
+0.0419008
+0.0415152
+0.0412406
+0.041081
+0.041038
+0.0411119
+0.0413009
+0.0415985
+0.0420083
+0.0425272
+0.0431511
+0.0438757
+0.044696
+0.0456069
+0.0466031
+0.0476791
+0.0488204
+0.0500282
+0.0512314
+0.0520163
+0.0528803
+0.0538049
+0.0547991
+0.0558615
+0.0569884
+0.058176
+0.0594207
+0.0607189
+0.0620673
+0.0634627
+0.064902
+0.0663825
+0.0679013
+0.0694561
+0.0710444
+0.072664
+0.0743129
+0.075986
+0.100049
+0.0998169
+0.0996327
+0.0994964
+0.0994082
+0.0993682
+0.098994
+0.098534
+0.0981208
+0.097755
+0.097437
+0.0971674
+0.0969466
+0.0967749
+0.0966525
+0.0949265
+0.0931855
+0.0914639
+0.0897627
+0.0880831
+0.0864265
+0.084794
+0.0831873
+0.0816076
+0.0800568
+0.0785365
+0.0770485
+0.0755946
+0.074177
+0.0727977
+0.071459
+0.070159
+0.0689006
+0.0676896
+0.0665287
+0.0654207
+0.0643681
+0.0633738
+0.0624406
+0.0615712
+0.0607683
+0.0600347
+0.059373
+0.0587854
+0.0582743
+0.0578404
+0.0574814
+0.057204
+0.0570095
+0.0559957
+0.0545919
+0.0532412
+0.0519478
+0.0507161
+0.0495507
+0.0484563
+0.0474378
+0.0464851
+0.0456168
+0.0448388
+0.0441559
+0.0435725
+0.0430928
+0.0427172
+0.0424503
+0.0422954
+0.0422536
+0.0423253
+0.0425097
+0.0427988
+0.0431973
+0.043702
+0.0443095
+0.0450154
+0.0458153
+0.0467044
+0.0476776
+0.0487299
+0.0498471
+0.0509953
+0.0517106
+0.0524883
+0.0533446
+0.054276
+0.0552641
+0.0563178
+0.0574358
+0.0586143
+0.0598499
+0.061139
+0.0624783
+0.0638647
+0.0652952
+0.0667669
+0.0682772
+0.0698236
+0.0714037
+0.0730153
+0.0746565
+0.0763225
+0.101099
+0.100869
+0.100687
+0.100552
+0.100465
+0.100425
+0.100351
+0.0998975
+0.09949
+0.0991292
+0.0988157
+0.0985499
+0.0983321
+0.0981628
+0.09696
+0.0954603
+0.0937293
+0.0920178
+0.090327
+0.0886581
+0.0870124
+0.0853912
+0.0837959
+0.0822279
+0.0806891
+0.0791809
+0.0777052
+0.0762639
+0.0748589
+0.0734924
+0.0721666
+0.0708796
+0.0696341
+0.0684362
+0.0672882
+0.0661928
+0.0651527
+0.0641706
+0.0632491
+0.062391
+0.0615988
+0.0608753
+0.0602227
+0.0596435
+0.0591399
+0.0587124
+0.0583587
+0.0580855
+0.057894
+0.0569774
+0.0555984
+0.0542728
+0.0530046
+0.051798
+0.0506574
+0.0495875
+0.0485927
+0.0476631
+0.0468167
+0.0460589
+0.0453944
+0.0448271
+0.0443609
+0.0439955
+0.0437364
+0.043586
+0.0435455
+0.0436151
+0.0437943
+0.0440755
+0.0444625
+0.044953
+0.0455438
+0.0462309
+0.0470101
+0.047877
+0.0488268
+0.0498549
+0.0509302
+0.0515698
+0.0522772
+0.0530466
+0.0538941
+0.0548161
+0.0558089
+0.0568549
+0.0579625
+0.0591305
+0.0603555
+0.061634
+0.0629628
+0.0643388
+0.065759
+0.0672206
+0.0687209
+0.0702575
+0.0718281
+0.0734304
+0.0750624
+0.0767197
+0.102184
+0.101957
+0.101777
+0.101644
+0.101557
+0.101518
+0.101526
+0.10129
+0.100888
+0.100532
+0.100223
+0.0999612
+0.0997465
+0.0987221
+0.0972746
+0.0958474
+0.0943207
+0.0926202
+0.0909406
+0.0892832
+0.0876492
+0.08604
+0.0844569
+0.0829015
+0.0813753
+0.0798801
+0.0784176
+0.0769896
+0.0755982
+0.0742453
+0.0729331
+0.0716599
+0.0704283
+0.069244
+0.0681096
+0.0670277
+0.0660008
+0.0650315
+0.0641223
+0.0632761
+0.0624951
+0.061782
+0.0611392
+0.0605688
+0.0600729
+0.0596504
+0.0593023
+0.0590335
+0.0588451
+0.0580253
+0.0566717
+0.0553718
+0.0541294
+0.0529484
+0.0518332
+0.050788
+0.0498172
+0.0489109
+0.0480864
+0.047349
+0.0467028
+0.0461517
+0.0456987
+0.0453436
+0.0450923
+0.0449465
+0.0449072
+0.0449746
+0.0451484
+0.0454219
+0.0457975
+0.0462739
+0.046848
+0.0475163
+0.0482748
+0.0491193
+0.0500456
+0.0510491
+0.0515986
+0.0522299
+0.0529286
+0.0536886
+0.0545261
+0.0554376
+0.0564195
+0.0574681
+0.0585665
+0.0597227
+0.0609358
+0.0622024
+0.0635193
+0.0648835
+0.066292
+0.067742
+0.0692311
+0.0707566
+0.0723163
+0.0739081
+0.0755298
+0.077177
+0.103305
+0.103081
+0.102903
+0.102771
+0.102685
+0.102647
+0.102655
+0.102709
+0.102314
+0.101963
+0.101659
+0.1014
+0.100549
+0.0990795
+0.0976373
+0.0962234
+0.0947534
+0.0932701
+0.0916025
+0.0899573
+0.0883358
+0.0867393
+0.0851692
+0.083627
+0.0821144
+0.0806329
+0.0791842
+0.0777703
+0.0763931
+0.0750545
+0.0737568
+0.072498
+0.0712809
+0.070111
+0.0689909
+0.067923
+0.0669098
+0.0659539
+0.0650577
+0.0642237
+0.0634544
+0.0627522
+0.0621194
+0.0615581
+0.0610702
+0.060652
+0.0603096
+0.0600453
+0.0598601
+0.0591357
+0.0578082
+0.0565344
+0.0553181
+0.0541631
+0.0530734
+0.0520531
+0.0511063
+0.0502233
+0.0494207
+0.0487035
+0.0480755
+0.0475403
+0.0471001
+0.0467556
+0.0465119
+0.0463705
+0.0463324
+0.0463978
+0.0465663
+0.0468322
+0.0471966
+0.047659
+0.0482166
+0.0488661
+0.049604
+0.0504263
+0.051329
+0.0518129
+0.0523501
+0.0529725
+0.0536615
+0.0544113
+0.0552379
+0.0561378
+0.0571076
+0.0581438
+0.059243
+0.0603886
+0.0615885
+0.062842
+0.0641458
+0.0654969
+0.0668925
+0.0683298
+0.0698063
+0.0713195
+0.0728672
+0.0744472
+0.0760574
+0.0776935
+0.10446
+0.104238
+0.104062
+0.103931
+0.103847
+0.103809
+0.103817
+0.103871
+0.103767
+0.103421
+0.10312
+0.102437
+0.100947
+0.0994839
+0.0980477
+0.0966398
+0.0951957
+0.0937435
+0.0923116
+0.0906793
+0.0890709
+0.0874878
+0.0859315
+0.0844032
+0.0829047
+0.0814376
+0.0800035
+0.0786043
+0.077242
+0.0759184
+0.0746357
+0.073392
+0.0721899
+0.071035
+0.0699297
+0.0688764
+0.0678774
+0.0669353
+0.0660524
+0.0652312
+0.0644739
+0.063783
+0.0631605
+0.0626085
+0.0621269
+0.061715
+0.0613786
+0.0611189
+0.0609369
+0.0603054
+0.0590042
+0.0577567
+0.0565667
+0.0554377
+0.0543736
+0.0533782
+0.0524553
+0.0515954
+0.0508144
+0.0501172
+0.0495071
+0.0489875
+0.0485598
+0.0482258
+0.0479896
+0.0478526
+0.0478156
+0.047879
+0.0480423
+0.0483007
+0.0486541
+0.0491028
+0.0496442
+0.0502753
+0.0509927
+0.051793
+0.0522018
+0.052644
+0.0531727
+0.0537856
+0.0544727
+0.0552115
+0.0560263
+0.0569137
+0.0578705
+0.0588933
+0.0599787
+0.0611234
+0.0623115
+0.0635507
+0.0648402
+0.0661772
+0.0675587
+0.0689822
+0.070445
+0.0719448
+0.0734793
+0.0750464
+0.076644
+0.0782678
+0.105648
+0.105429
+0.105254
+0.105125
+0.105042
+0.105004
+0.105012
+0.105065
+0.105164
+0.104904
+0.104382
+0.102874
+0.101392
+0.0999347
+0.0985051
+0.0971038
+0.0956861
+0.0942414
+0.0928216
+0.0914321
+0.0898535
+0.0882844
+0.0867423
+0.0852287
+0.0837449
+0.0822928
+0.0808739
+0.07949
+0.0781431
+0.076835
+0.0755678
+0.0743398
+0.0731533
+0.0720139
+0.0709238
+0.0698855
+0.0689011
+0.0679732
+0.0671039
+0.0662957
+0.0655508
+0.0648713
+0.0642593
+0.0637169
+0.0632411
+0.0628365
+0.0625061
+0.0622511
+0.0620725
+0.0615308
+0.060256
+0.0590351
+0.0578713
+0.0567683
+0.0557296
+0.0547588
+0.0538596
+0.0530224
+0.0522629
+0.0515852
+0.0509927
+0.0504884
+0.0500729
+0.049749
+0.04952
+0.0493873
+0.0493515
+0.0494129
+0.0495712
+0.0498222
+0.0501649
+0.0506002
+0.0511257
+0.0517388
+0.0524362
+0.0527655
+0.0531127
+0.0535473
+0.0540673
+0.0546701
+0.0553532
+0.0560859
+0.0568881
+0.0577623
+0.0587053
+0.0597138
+0.0607846
+0.0619144
+0.0631
+0.0643263
+0.0656006
+0.0669223
+0.0682888
+0.0696973
+0.0711454
+0.0726308
+0.0741511
+0.0757043
+0.0772883
+0.0788988
+0.106868
+0.106651
+0.106478
+0.106351
+0.106268
+0.106231
+0.106238
+0.106284
+0.106374
+0.106382
+0.104858
+0.103357
+0.101881
+0.100431
+0.0990088
+0.0976148
+0.0962239
+0.0947874
+0.0933758
+0.0919948
+0.0906457
+0.0891278
+0.0876005
+0.0861019
+0.0846335
+0.0831968
+0.0817936
+0.0804256
+0.0790946
+0.0778026
+0.0765514
+0.0753394
+0.0741689
+0.0730453
+0.0719709
+0.0709478
+0.0699785
+0.069065
+0.0682097
+0.0674147
+0.0666822
+0.0660144
+0.0654131
+0.0648793
+0.0644105
+0.0640133
+0.0636891
+0.0634388
+0.0632635
+0.0628087
+0.0615604
+0.0603659
+0.0592283
+0.058151
+0.0571374
+0.056191
+0.0553151
+0.0545002
+0.0537615
+0.053103
+0.0525276
+0.0520382
+0.0516346
+0.0513206
+0.0510986
+0.05097
+0.0509353
+0.0509948
+0.0511482
+0.0513921
+0.0517244
+0.0521467
+0.0526568
+0.0532522
+0.053503
+0.0537562
+0.054097
+0.0545238
+0.0550345
+0.0556269
+0.0562983
+0.0570311
+0.0578202
+0.0586805
+0.059609
+0.0606025
+0.0616578
+0.0627719
+0.0639416
+0.0651588
+0.0664202
+0.067729
+0.0690796
+0.0704724
+0.0719049
+0.0733749
+0.0748801
+0.0764184
+0.077988
+0.0795852
+0.108118
+0.107903
+0.107733
+0.107607
+0.107525
+0.107483
+0.107482
+0.107525
+0.107614
+0.106894
+0.105377
+0.103883
+0.102415
+0.100973
+0.0995583
+0.098172
+0.0968033
+0.0953806
+0.093978
+0.0926059
+0.0912658
+0.089959
+0.0885046
+0.0870216
+0.0855689
+0.0841483
+0.0827612
+0.0814094
+0.0800948
+0.0788191
+0.0775844
+0.0763887
+0.0752345
+0.0741271
+0.0730686
+0.0720612
+0.071107
+0.0702082
+0.0693669
+0.0685854
+0.0678656
+0.0672095
+0.066619
+0.0660923
+0.0656322
+0.0652425
+0.0649244
+0.0646789
+0.064507
+0.064136
+0.0629141
+0.0617457
+0.060634
+0.0595821
+0.0585933
+0.0576708
+0.0568177
+0.0560247
+0.0553064
+0.0546665
+0.0541073
+0.0536304
+0.0532381
+0.0529336
+0.0527185
+0.0525938
+0.0525602
+0.0526179
+0.0527665
+0.0530054
+0.0533283
+0.053738
+0.0542331
+0.0544071
+0.0545683
+0.0548166
+0.0551508
+0.0555695
+0.0560707
+0.0566522
+0.0573117
+0.0580408
+0.0588191
+0.0596651
+0.0605785
+0.0615563
+0.0625955
+0.0636932
+0.0648463
+0.0660468
+0.0672916
+0.0685837
+0.0699206
+0.0712989
+0.0727151
+0.074169
+0.0756584
+0.0771813
+0.0787356
+0.0803196
+0.109397
+0.109185
+0.109017
+0.108888
+0.108799
+0.108754
+0.108753
+0.108796
+0.108884
+0.107447
+0.105938
+0.104453
+0.102993
+0.101559
+0.100153
+0.0987747
+0.0974217
+0.0960201
+0.0946269
+0.0932644
+0.0919339
+0.0906368
+0.0893746
+0.0879862
+0.0865497
+0.0851454
+0.0837749
+0.0824397
+0.0811418
+0.0798828
+0.0786648
+0.0774858
+0.0763482
+0.0752572
+0.0742148
+0.0732231
+0.0722843
+0.0714003
+0.0705733
+0.0698052
+0.0690981
+0.0684539
+0.067874
+0.0673548
+0.0669034
+0.0665211
+0.0662091
+0.0659685
+0.0657999
+0.0655051
+0.0643092
+0.0631666
+0.0620804
+0.0610534
+0.0600888
+0.0591896
+0.0583588
+0.0575869
+0.0568852
+0.0562602
+0.0557143
+0.05525
+0.0548693
+0.0545739
+0.0543653
+0.0542444
+0.0542118
+0.0542677
+0.0544118
+0.0546435
+0.0549615
+0.0553645
+0.055463
+0.0555415
+0.0556994
+0.0559426
+0.0562702
+0.0566806
+0.0571721
+0.0577425
+0.0583896
+0.0591015
+0.0598789
+0.0607127
+0.0616106
+0.0625723
+0.0635949
+0.0646756
+0.0658115
+0.0669948
+0.0682222
+0.069497
+0.0708167
+0.0721788
+0.0735808
+0.0750187
+0.0764916
+0.0779982
+0.0795366
+0.081105
+0.110705
+0.110494
+0.110319
+0.110187
+0.110099
+0.110055
+0.110054
+0.110096
+0.10955
+0.108043
+0.106542
+0.105065
+0.103614
+0.102189
+0.100791
+0.099422
+0.0980779
+0.0966955
+0.0953219
+0.0939694
+0.092649
+0.0913621
+0.09011
+0.0888943
+0.0875744
+0.0861868
+0.084833
+0.0835148
+0.0822338
+0.0809919
+0.0797907
+0.0786287
+0.0775078
+0.0764333
+0.0754072
+0.0744314
+0.073508
+0.0726389
+0.0718262
+0.0710717
+0.0703773
+0.0697448
+0.0691733
+0.068664
+0.0682213
+0.0678464
+0.0675405
+0.0673046
+0.0671394
+0.0669163
+0.0657461
+0.064629
+0.0635677
+0.0625652
+0.0616242
+0.0607478
+0.0599342
+0.0591793
+0.0584968
+0.0578891
+0.0573588
+0.0569079
+0.0565383
+0.0562517
+0.0560493
+0.055932
+0.0559004
+0.0559547
+0.0560944
+0.0563192
+0.0566278
+0.0566581
+0.05666
+0.0567378
+0.0568924
+0.0571306
+0.0574514
+0.0578534
+0.058335
+0.0588942
+0.0595288
+0.0602233
+0.0609864
+0.0618177
+0.0627023
+0.0636475
+0.0646531
+0.0657164
+0.0668346
+0.0680001
+0.0692097
+0.0704667
+0.0717685
+0.0731128
+0.0744973
+0.0759198
+0.0773779
+0.0788675
+0.0803893
+0.0819413
+0.112032
+0.111817
+0.111644
+0.111514
+0.111427
+0.111383
+0.111382
+0.111424
+0.110169
+0.108671
+0.107187
+0.10572
+0.104277
+0.102861
+0.101473
+0.100113
+0.098775
+0.0974153
+0.0960617
+0.0947198
+0.0934101
+0.0921338
+0.0908923
+0.0896873
+0.08852
+0.0872707
+0.085934
+0.0846329
+0.0833691
+0.0821443
+0.0809603
+0.0798153
+0.0787113
+0.0776535
+0.0766437
+0.0756839
+0.0747759
+0.0739218
+0.0731233
+0.0723823
+0.0717006
+0.0710799
+0.0705168
+0.0700173
+0.0695832
+0.0692157
+0.0689159
+0.0686847
+0.0685228
+0.0683687
+0.0672237
+0.0661315
+0.0650948
+0.0641161
+0.0631983
+0.0623439
+0.0615438
+0.0608089
+0.0601449
+0.0595541
+0.0590387
+0.0586007
+0.0582419
+0.0579637
+0.0577673
+0.0576535
+0.0576229
+0.0576755
+0.0578111
+0.0580292
+0.0579942
+0.0579133
+0.0579151
+0.0579923
+0.0581435
+0.0583766
+0.0586906
+0.0590841
+0.0595558
+0.0601036
+0.0607241
+0.0614028
+0.0621514
+0.0629673
+0.063848
+0.0647789
+0.0657673
+0.0668129
+0.067913
+0.0690603
+0.0702516
+0.0714903
+0.0727738
+0.0740999
+0.0754663
+0.0768708
+0.0783115
+0.0797862
+0.0812921
+0.0828272
+0.11338
+0.113167
+0.112996
+0.112868
+0.112782
+0.112738
+0.112737
+0.112337
+0.110824
+0.109335
+0.10787
+0.106415
+0.104982
+0.103576
+0.102197
+0.100847
+0.0995092
+0.0981787
+0.0968358
+0.0955146
+0.0942159
+0.0929507
+0.0917203
+0.0905262
+0.0893699
+0.0882528
+0.0870762
+0.0857924
+0.084546
+0.0833385
+0.0821716
+0.0810437
+0.0799567
+0.0789156
+0.0779222
+0.0769783
+0.0760858
+0.0752465
+0.0744622
+0.0737347
+0.0730656
+0.0724548
+0.071902
+0.0714121
+0.0709865
+0.0706263
+0.0703326
+0.0701061
+0.0699475
+0.0698572
+0.0687394
+0.0676716
+0.0666588
+0.0657035
+0.0648081
+0.063971
+0.0631884
+0.0624729
+0.0618267
+0.0612521
+0.0607511
+0.0603256
+0.0599771
+0.059707
+0.0595163
+0.0594059
+0.0593762
+0.0594272
+0.0595589
+0.0594581
+0.059302
+0.0592229
+0.0592247
+0.0593011
+0.059449
+0.059677
+0.0599842
+0.0603693
+0.060831
+0.0613674
+0.0619715
+0.0626367
+0.0633707
+0.0641712
+0.0650356
+0.0659608
+0.0669317
+0.0679594
+0.0690413
+0.0701728
+0.0713456
+0.0725656
+0.0738305
+0.0751379
+0.0764857
+0.0778719
+0.0792943
+0.0807512
+0.0822406
+0.0837608
+0.114753
+0.114543
+0.114374
+0.114247
+0.114163
+0.11412
+0.114119
+0.11302
+0.111517
+0.110037
+0.108582
+0.10715
+0.105728
+0.104331
+0.102963
+0.101614
+0.100286
+0.0989847
+0.0976529
+0.0963524
+0.0950652
+0.0938114
+0.0925924
+0.0914098
+0.0902648
+0.0891589
+0.0880937
+0.0869917
+0.0857626
+0.0845725
+0.0834229
+0.0823122
+0.0812422
+0.0802177
+0.0792406
+0.0783126
+0.0774355
+0.076611
+0.0758408
+0.0751266
+0.0744701
+0.0738686
+0.0733264
+0.0728462
+0.072429
+0.072076
+0.0717882
+0.0715663
+0.0714109
+0.0713225
+0.0702906
+0.0692468
+0.0682574
+0.0673247
+0.0664512
+0.065628
+0.0648654
+0.0641685
+0.0635396
+0.0629806
+0.0624935
+0.0620799
+0.0617413
+0.0614789
+0.0612938
+0.0611866
+0.0611577
+0.0612073
+0.0610346
+0.0608153
+0.0606608
+0.0605834
+0.0605852
+0.0606575
+0.060802
+0.061025
+0.0613254
+0.0617022
+0.062154
+0.0626791
+0.0632702
+0.0639219
+0.0646413
+0.0654262
+0.0662743
+0.067183
+0.0681389
+0.0691486
+0.0702122
+0.0713272
+0.0724893
+0.0736904
+0.0749363
+0.0762247
+0.0775537
+0.0789211
+0.080325
+0.0817634
+0.0832347
+0.0847371
+0.116152
+0.115944
+0.115777
+0.115652
+0.115568
+0.115526
+0.115257
+0.113741
+0.112248
+0.110778
+0.109332
+0.107911
+0.106513
+0.105127
+0.103766
+0.102421
+0.101104
+0.0998177
+0.0985119
+0.097223
+0.0959528
+0.0947108
+0.0935036
+0.0923326
+0.0911992
+0.0901048
+0.0890509
+0.0880328
+0.0870174
+0.0858447
+0.0847124
+0.0836188
+0.0825657
+0.0815579
+0.080597
+0.0796848
+0.078823
+0.0780131
+0.0772569
+0.076556
+0.0759107
+0.0753196
+0.0747879
+0.0743171
+0.0739082
+0.0735623
+0.0732803
+0.073063
+0.0729108
+0.0728243
+0.0718752
+0.0708547
+0.0698881
+0.0689775
+0.068121
+0.0673154
+0.0665721
+0.0658933
+0.065281
+0.0647371
+0.0642633
+0.0638611
+0.063532
+0.0632771
+0.0630972
+0.0629931
+0.0629651
+0.0627247
+0.0624345
+0.0622199
+0.0620672
+0.0619916
+0.0619933
+0.0620611
+0.0622024
+0.0624203
+0.0627141
+0.0630826
+0.0635245
+0.0640384
+0.0646171
+0.0652554
+0.0659603
+0.0667296
+0.0675613
+0.068453
+0.0693942
+0.070386
+0.0714311
+0.0725274
+0.0736725
+0.0748624
+0.0760891
+0.0773584
+0.0786682
+0.0800165
+0.0814015
+0.0828213
+0.0842741
+0.0857582
+0.117574
+0.117369
+0.117205
+0.117081
+0.116998
+0.116956
+0.116006
+0.1145
+0.113017
+0.111557
+0.110121
+0.108711
+0.107327
+0.105957
+0.104602
+0.103269
+0.101963
+0.100687
+0.0994118
+0.0981347
+0.0968819
+0.095652
+0.0944568
+0.0932978
+0.0921762
+0.0910936
+0.0900512
+0.0890486
+0.0880602
+0.0871157
+0.0860383
+0.0849618
+0.0839255
+0.0829343
+0.0819895
+0.081093
+0.0802463
+0.0794509
+0.0787085
+0.0780206
+0.0773854
+0.0768056
+0.0762843
+0.0758228
+0.0754221
+0.0750832
+0.0748069
+0.074594
+0.0744449
+0.0743602
+0.0734909
+0.0724932
+0.0715487
+0.0706595
+0.0698169
+0.0690311
+0.0683065
+0.0676451
+0.0670488
+0.0665193
+0.0660583
+0.0656671
+0.0653471
+0.0650993
+0.0649245
+0.0648233
+0.0645193
+0.0641625
+0.0638788
+0.0636672
+0.063518
+0.0634441
+0.0634458
+0.0635093
+0.0636474
+0.0638604
+0.0641475
+0.0645078
+0.0649401
+0.0654429
+0.0660093
+0.0666342
+0.0673246
+0.0680786
+0.068894
+0.0697686
+0.0706952
+0.0716689
+0.0726956
+0.0737731
+0.0748992
+0.0760717
+0.0772868
+0.0785367
+0.0798272
+0.0811563
+0.0825222
+0.083923
+0.085357
+0.0868227
+0.119021
+0.118818
+0.118655
+0.118533
+0.118451
+0.118308
+0.116791
+0.115296
+0.113823
+0.112373
+0.110948
+0.109548
+0.108175
+0.106821
+0.105477
+0.104156
+0.102861
+0.101597
+0.100351
+0.0990864
+0.0978513
+0.0966337
+0.0954508
+0.094304
+0.0931945
+0.0921239
+0.0910933
+0.0901023
+0.0891295
+0.0881964
+0.0873084
+0.0863395
+0.08532
+0.0843451
+0.0834163
+0.0825353
+0.0817035
+0.0809225
+0.0801937
+0.0795183
+0.0788934
+0.0783247
+0.0778136
+0.0773612
+0.0769685
+0.0766365
+0.0763658
+0.0761573
+0.0760113
+0.0759283
+0.0751357
+0.0741602
+0.0732371
+0.0723647
+0.0715397
+0.070773
+0.0700664
+0.0694218
+0.0688409
+0.0683253
+0.0678766
+0.067496
+0.0671847
+0.0669436
+0.0667737
+0.06641
+0.0659908
+0.0656419
+0.0653647
+0.0651561
+0.0650103
+0.0649381
+0.0649378
+0.064999
+0.065134
+0.0653422
+0.0656228
+0.0659751
+0.0663978
+0.0668896
+0.0674438
+0.0680556
+0.0687317
+0.0694704
+0.0702697
+0.0711274
+0.0720392
+0.072995
+0.0740034
+0.0750621
+0.0761691
+0.0773224
+0.0785198
+0.0797579
+0.0810289
+0.0823386
+0.0836852
+0.0850668
+0.0864819
+0.0879288
+0.120489
+0.120289
+0.120128
+0.120008
+0.119927
+0.119118
+0.117612
+0.116127
+0.114665
+0.113226
+0.111812
+0.110423
+0.10906
+0.107723
+0.10639
+0.105081
+0.103798
+0.102545
+0.101324
+0.100077
+0.0988571
+0.0976546
+0.0964843
+0.0953499
+0.0942528
+0.0931942
+0.0921742
+0.0911908
+0.0902393
+0.0893178
+0.0884391
+0.0875969
+0.0867473
+0.0857886
+0.0848757
+0.08401
+0.0831929
+0.082426
+0.0817107
+0.0810458
+0.0804328
+0.0798751
+0.079374
+0.0789305
+0.0785456
+0.0782203
+0.0779551
+0.0777508
+0.0776078
+0.0775265
+0.0768078
+0.0758538
+0.0749516
+0.074093
+0.0732875
+0.0725393
+0.0718501
+0.0712216
+0.0706555
+0.0701532
+0.0697162
+0.0693457
+0.0690428
+0.0688083
+0.0683889
+0.0679112
+0.0675012
+0.0671603
+0.0668893
+0.0666836
+0.0665412
+0.0664707
+0.0664677
+0.0665276
+0.0666594
+0.0668629
+0.0671372
+0.0674815
+0.0678948
+0.0683759
+0.0689182
+0.069517
+0.070179
+0.0709026
+0.0716859
+0.0725269
+0.0734237
+0.0743621
+0.0753521
+0.0763922
+0.0774802
+0.0786142
+0.0797923
+0.0810125
+0.0822714
+0.0835616
+0.0848888
+0.0862512
+0.0876471
+0.0890751
+0.0972673
+0.0954858
+0.0937217
+0.091976
+0.0902496
+0.0885439
+0.0868598
+0.0851988
+0.0835622
+0.0819516
+0.0803667
+0.0788101
+0.0772842
+0.0757909
+0.0743323
+0.0729102
+0.071527
+0.0701834
+0.0688742
+0.0676106
+0.0663952
+0.0652308
+0.0641201
+0.063066
+0.0620713
+0.061139
+0.0602719
+0.0594729
+0.0587447
+0.0580901
+0.0575116
+0.0570114
+0.0565916
+0.0562541
+0.0560003
+0.0558314
+0.0557481
+0.0557508
+0.0558396
+0.0560139
+0.0562599
+0.0565864
+0.0569952
+0.0574847
+0.0580528
+0.0586972
+0.0594155
+0.0602049
+0.0610627
+0.0619861
+0.0629723
+0.0640182
+0.065121
+0.0662759
+0.0674721
+0.0687174
+0.0700091
+0.0713447
+0.0727218
+0.074138
+0.0755912
+0.0770793
+0.0786003
+0.0801522
+0.0817335
+0.0833423
+0.0849771
+0.0866357
+0.088317
+0.0900201
+0.0917439
+0.0934873
+0.0952492
+0.0970285
+0.0988244
+0.100636
+0.102462
+0.104303
+0.106156
+0.107583
+0.108882
+0.110209
+0.111564
+0.112945
+0.114351
+0.115782
+0.117236
+0.118712
+0.120211
+0.12173
+0.122812
+0.123448
+0.124119
+0.124825
+0.125566
+0.12634
+0.127089
+0.127849
+0.128642
+0.129434
+0.0964009
+0.0946031
+0.0928223
+0.0910593
+0.0893152
+0.0875912
+0.0858885
+0.0842084
+0.0825522
+0.0809214
+0.0793159
+0.0777383
+0.0761909
+0.0746758
+0.0731949
+0.0717503
+0.0703443
+0.0689793
+0.0676576
+0.0663721
+0.0651336
+0.0639463
+0.0628129
+0.0617364
+0.06072
+0.0597666
+0.0588793
+0.0580611
+0.057315
+0.0566439
+0.0560504
+0.0555371
+0.0551061
+0.0547594
+0.0544986
+0.054325
+0.0542395
+0.0542423
+0.0543335
+0.0545126
+0.0547789
+0.0551176
+0.0555372
+0.0560395
+0.0566221
+0.0572825
+0.0580183
+0.0588265
+0.0597041
+0.0606482
+0.0616557
+0.0627236
+0.0638489
+0.0650263
+0.0662451
+0.067513
+0.0688273
+0.0701854
+0.0715848
+0.0730231
+0.074498
+0.0760075
+0.0775495
+0.0791221
+0.0807235
+0.0823521
+0.0840062
+0.0856836
+0.0873831
+0.0891041
+0.0908453
+0.0926056
+0.094384
+0.0961793
+0.0979907
+0.0998174
+0.101658
+0.103378
+0.104637
+0.105927
+0.107247
+0.108594
+0.109969
+0.111369
+0.112795
+0.114245
+0.115718
+0.117214
+0.118724
+0.120244
+0.121752
+0.122393
+0.12307
+0.123782
+0.124448
+0.125148
+0.125881
+0.126649
+0.127449
+0.128229
+0.0955769
+0.0937633
+0.0919662
+0.0901865
+0.0884252
+0.0866835
+0.0849626
+0.0832638
+0.0815884
+0.0799379
+0.0783123
+0.076714
+0.0751456
+0.073609
+0.0721062
+0.0706394
+0.0692108
+0.0678229
+0.0664783
+0.0651795
+0.0639204
+0.0627101
+0.0615539
+0.0604551
+0.0594167
+0.058442
+0.0575343
+0.0566967
+0.0559325
+0.0552445
+0.0546359
+0.0541091
+0.0536666
+0.0533106
+0.0530427
+0.0528643
+0.0527764
+0.0527793
+0.052873
+0.0530571
+0.0533306
+0.0536816
+0.0541124
+0.0546278
+0.0552252
+0.0559022
+0.0566559
+0.0574832
+0.0583811
+0.0593463
+0.0603755
+0.0614656
+0.0626135
+0.0638159
+0.0650687
+0.0663591
+0.0676958
+0.0690762
+0.0704976
+0.0719576
+0.0734539
+0.0749844
+0.076547
+0.0781398
+0.0797609
+0.0814088
+0.0830816
+0.0847773
+0.0864947
+0.088233
+0.0899911
+0.0917678
+0.093562
+0.0953729
+0.0971993
+0.0990405
+0.100444
+0.101701
+0.102981
+0.104292
+0.105631
+0.106999
+0.108394
+0.109815
+0.11126
+0.11273
+0.114223
+0.115718
+0.117236
+0.118774
+0.120318
+0.121341
+0.12194
+0.122575
+0.123246
+0.123953
+0.124693
+0.125468
+0.126221
+0.126945
+0.0947963
+0.0929676
+0.0911547
+0.0893589
+0.087581
+0.0858221
+0.0840836
+0.0823666
+0.0806726
+0.0790031
+0.0773578
+0.0757394
+0.0741503
+0.0725926
+0.0710683
+0.0695796
+0.0681289
+0.0667185
+0.0653511
+0.0640295
+0.0627565
+0.0615268
+0.060348
+0.0592268
+0.0581665
+0.0571705
+0.0562423
+0.0553852
+0.0546025
+0.0538976
+0.0532736
+0.0527332
+0.0522791
+0.0519136
+0.0516384
+0.0514552
+0.0513648
+0.0513678
+0.0514641
+0.0516532
+0.0519341
+0.052297
+0.0527392
+0.0532678
+0.0538803
+0.054574
+0.0553458
+0.0561924
+0.0571106
+0.0580968
+0.0591478
+0.0602602
+0.0614305
+0.0626557
+0.0639324
+0.0652499
+0.0666114
+0.0680161
+0.0694616
+0.0709438
+0.072461
+0.0740121
+0.0755948
+0.0772072
+0.0788475
+0.080514
+0.0822051
+0.0839185
+0.0856531
+0.0874082
+0.0891825
+0.090975
+0.0927846
+0.0946103
+0.0963053
+0.0975185
+0.0987654
+0.100044
+0.101346
+0.102677
+0.104037
+0.105426
+0.106841
+0.108282
+0.109748
+0.111225
+0.112717
+0.11423
+0.115752
+0.117295
+0.118859
+0.120129
+0.120735
+0.121376
+0.122054
+0.122767
+0.123515
+0.124258
+0.124954
+0.125686
+0.0940604
+0.092217
+0.0903891
+0.0885777
+0.0867838
+0.0850085
+0.083253
+0.0815185
+0.0798065
+0.0781184
+0.0764541
+0.0748161
+0.0732071
+0.0716289
+0.0700836
+0.0685735
+0.067101
+0.0656686
+0.0642788
+0.0629347
+0.0616392
+0.0603953
+0.0591986
+0.0580552
+0.0569731
+0.0559559
+0.0550072
+0.0541305
+0.0533295
+0.0526075
+0.051968
+0.0514139
+0.050948
+0.0505728
+0.0502904
+0.0501022
+0.0500094
+0.0500124
+0.0501114
+0.0503056
+0.050594
+0.050969
+0.0514226
+0.0519646
+0.0525923
+0.0533028
+0.0540927
+0.0549586
+0.055897
+0.0569044
+0.057977
+0.0591114
+0.060304
+0.0615516
+0.0628507
+0.0641905
+0.0655739
+0.0670004
+0.0684673
+0.0699721
+0.0715123
+0.0730857
+0.0746902
+0.0763239
+0.0779849
+0.0796689
+0.0813761
+0.083106
+0.0848572
+0.0866284
+0.0884184
+0.090226
+0.0920503
+0.0934045
+0.0946042
+0.0958389
+0.0971073
+0.0984082
+0.099731
+0.101084
+0.102465
+0.103875
+0.105311
+0.106766
+0.108232
+0.109717
+0.111215
+0.112735
+0.114276
+0.115839
+0.117422
+0.118943
+0.119554
+0.120202
+0.120886
+0.121606
+0.122341
+0.12301
+0.123714
+0.124452
+0.09337
+0.0915127
+0.0896705
+0.0878443
+0.0860351
+0.084244
+0.0824722
+0.080721
+0.0789917
+0.0772858
+0.0756031
+0.0739463
+0.0723179
+0.0707199
+0.0691543
+0.0676235
+0.0661298
+0.0646758
+0.0632643
+0.0618982
+0.0605804
+0.0593144
+0.0581034
+0.0569439
+0.0558402
+0.054802
+0.0538329
+0.0529368
+0.0521174
+0.0513785
+0.0507234
+0.0501556
+0.0496779
+0.0492931
+0.0490032
+0.0488101
+0.0487148
+0.0487179
+0.0488195
+0.0490188
+0.0493147
+0.0497022
+0.0501672
+0.0507226
+0.0513655
+0.0520927
+0.0529007
+0.0537858
+0.0547443
+0.0557725
+0.0568664
+0.0580225
+0.0592371
+0.0605066
+0.0618278
+0.0631892
+0.0645941
+0.0660418
+0.0675295
+0.0690547
+0.0706149
+0.0722079
+0.0738315
+0.0754838
+0.0771629
+0.0788671
+0.0805948
+0.0823434
+0.0841105
+0.0858971
+0.087702
+0.0893697
+0.0905168
+0.0917019
+0.0929235
+0.0941803
+0.0954708
+0.0967936
+0.0981388
+0.099513
+0.100916
+0.102347
+0.103784
+0.105239
+0.106709
+0.108204
+0.109722
+0.111262
+0.112824
+0.114406
+0.116008
+0.11763
+0.118402
+0.119056
+0.119747
+0.120469
+0.121108
+0.121784
+0.122495
+0.123241
+0.0927262
+0.0908558
+0.089
+0.0871597
+0.085336
+0.0835299
+0.0817427
+0.0799755
+0.0782297
+0.0765068
+0.0748067
+0.0731318
+0.0714848
+0.0698677
+0.0682826
+0.0667318
+0.0652177
+0.063743
+0.0623103
+0.0609228
+0.0595835
+0.0582958
+0.0570631
+0.0558892
+0.0547715
+0.0537127
+0.0527236
+0.0518083
+0.0509708
+0.0502149
+0.0495445
+0.048963
+0.0484736
+0.0480791
+0.0477819
+0.0475838
+0.047486
+0.0474893
+0.0475934
+0.0477979
+0.0481013
+0.0485012
+0.0489776
+0.0495463
+0.0502043
+0.0509481
+0.0517739
+0.052678
+0.0536563
+0.0547049
+0.0558198
+0.0569971
+0.0582331
+0.0595241
+0.0608665
+0.062249
+0.0636746
+0.0651428
+0.0666506
+0.0681954
+0.0697748
+0.0713866
+0.0730284
+0.0746985
+0.0763948
+0.0781158
+0.0798597
+0.0816252
+0.0834088
+0.0852101
+0.0865137
+0.0876435
+0.0888129
+0.0900204
+0.0912646
+0.0925438
+0.0938568
+0.0952021
+0.09657
+0.0979663
+0.0993782
+0.1008
+0.10224
+0.103706
+0.105198
+0.106713
+0.108252
+0.109813
+0.111395
+0.112998
+0.11462
+0.11626
+0.117279
+0.117939
+0.118637
+0.119257
+0.119903
+0.120585
+0.121303
+0.122056
+0.0921301
+0.0902473
+0.0883787
+0.0865252
+0.0846879
+0.0828677
+0.0810658
+0.0792835
+0.0775222
+0.0757832
+0.0740664
+0.0723744
+0.0707098
+0.0690746
+0.0674709
+0.065901
+0.0643673
+0.0628726
+0.0614197
+0.0600115
+0.0586514
+0.0573428
+0.0560892
+0.0548945
+0.0537625
+0.0526919
+0.0516833
+0.0507493
+0.049894
+0.0491216
+0.048436
+0.047841
+0.04734
+0.046936
+0.0466315
+0.0464285
+0.0463283
+0.0463316
+0.0464384
+0.0466479
+0.0469588
+0.047369
+0.0478588
+0.0484407
+0.0491135
+0.0498735
+0.0507168
+0.0516394
+0.052637
+0.0537055
+0.0548407
+0.0560387
+0.0572953
+0.0586069
+0.0599699
+0.0613726
+0.0628181
+0.0643058
+0.0658328
+0.0673964
+0.0689941
+0.0706236
+0.0722829
+0.0739697
+0.0756824
+0.0774192
+0.0791785
+0.0809589
+0.0826072
+0.083675
+0.084786
+0.0859384
+0.0871307
+0.0883612
+0.0896273
+0.0909204
+0.0922475
+0.093607
+0.0949976
+0.0964045
+0.0978112
+0.0992464
+0.100709
+0.102197
+0.10371
+0.105247
+0.106807
+0.108389
+0.109992
+0.111614
+0.113256
+0.114916
+0.116178
+0.116853
+0.117458
+0.118073
+0.118725
+0.119414
+0.120139
+0.120899
+0.0915825
+0.0896882
+0.0878077
+0.0859419
+0.0840918
+0.0822584
+0.0804429
+0.0786465
+0.0768706
+0.0751165
+0.0733842
+0.0716761
+0.0699949
+0.0683425
+0.0667212
+0.0651332
+0.063581
+0.0620674
+0.0605952
+0.0591674
+0.0577874
+0.0564588
+0.0551851
+0.0539704
+0.0528186
+0.0517339
+0.0507164
+0.0497642
+0.0488917
+0.0481032
+0.0474029
+0.0467948
+0.0462824
+0.0458691
+0.0455575
+0.0453497
+0.0452471
+0.0452505
+0.0453598
+0.0455743
+0.0458924
+0.0463121
+0.0468128
+0.0474075
+0.0480948
+0.0488707
+0.049731
+0.0506715
+0.0516878
+0.0527756
+0.0539304
+0.055148
+0.0564245
+0.0577559
+0.0591385
+0.0605628
+0.0620272
+0.0635334
+0.0650785
+0.0666598
+0.0682747
+0.0699211
+0.0715965
+0.0732992
+0.0750272
+0.0767788
+0.0785525
+0.0797891
+0.0808344
+0.0819249
+0.0830589
+0.0842346
+0.085447
+0.0866918
+0.0879735
+0.0892907
+0.0906416
+0.0920249
+0.0934298
+0.09483
+0.0962597
+0.0977176
+0.0992025
+0.100713
+0.102248
+0.103807
+0.105388
+0.106991
+0.108614
+0.110257
+0.111919
+0.113599
+0.115044
+0.115714
+0.116297
+0.116918
+0.117577
+0.118272
+0.119004
+0.119772
+0.0910811
+0.0891794
+0.087288
+0.0854108
+0.083549
+0.0817034
+0.0798753
+0.0780658
+0.0762763
+0.0745083
+0.0727615
+0.0710384
+0.0693417
+0.0676735
+0.0660357
+0.0644308
+0.0628613
+0.0613299
+0.0598395
+0.0583933
+0.0569946
+0.055647
+0.0543544
+0.0531206
+0.05195
+0.0508468
+0.0498129
+0.0488431
+0.0479539
+0.0471497
+0.046435
+0.045814
+0.0452906
+0.0448682
+0.0445496
+0.044337
+0.0442321
+0.0442356
+0.0443474
+0.0445667
+0.044892
+0.045321
+0.0458385
+0.0464457
+0.047147
+0.0479382
+0.048815
+0.0497728
+0.0508071
+0.0519133
+0.0530869
+0.0543235
+0.0556189
+0.0569691
+0.0583703
+0.059819
+0.0613044
+0.0628279
+0.0643899
+0.0659877
+0.0676187
+0.0692806
+0.0709713
+0.0726886
+0.0744307
+0.075964
+0.0769601
+0.077991
+0.0790601
+0.0801747
+0.0813331
+0.0825334
+0.083768
+0.0850374
+0.0863437
+0.0876853
+0.0890606
+0.0904634
+0.0918565
+0.0932804
+0.0947335
+0.0962145
+0.0977222
+0.0992554
+0.100813
+0.102393
+0.103996
+0.10562
+0.107264
+0.108927
+0.110609
+0.112308
+0.113922
+0.114577
+0.115166
+0.115793
+0.116458
+0.11716
+0.117899
+0.118674
+0.0906228
+0.0887145
+0.0868194
+0.0849329
+0.0830604
+0.0812037
+0.079364
+0.0775426
+0.0757408
+0.07396
+0.0721999
+0.0704631
+0.0687522
+0.0670693
+0.0654164
+0.063796
+0.0622104
+0.0606626
+0.0591554
+0.0576921
+0.0562759
+0.0549107
+0.0536003
+0.0523488
+0.0511605
+0.0500399
+0.048989
+0.0480026
+0.0470974
+0.0462784
+0.04555
+0.0449168
+0.0443828
+0.0439517
+0.0436263
+0.0434093
+0.0433021
+0.0433057
+0.0434199
+0.0436438
+0.043976
+0.0444138
+0.04495
+0.045569
+0.0462836
+0.0470893
+0.0479816
+0.0489558
+0.050007
+0.0511304
+0.0523216
+0.0535758
+0.0548889
+0.0562566
+0.0576752
+0.0591409
+0.0606502
+0.0621916
+0.0637692
+0.0653822
+0.067028
+0.0687042
+0.0704086
+0.0721393
+0.0731712
+0.0741522
+0.0751605
+0.0762129
+0.0773065
+0.0784461
+0.0796297
+0.0808552
+0.0821132
+0.0834078
+0.0847392
+0.0861058
+0.0874987
+0.0888916
+0.090309
+0.0917569
+0.0932337
+0.0947382
+0.096269
+0.0978249
+0.0994048
+0.101007
+0.102632
+0.104277
+0.105942
+0.107626
+0.109327
+0.111046
+0.112781
+0.113471
+0.114065
+0.114699
+0.11537
+0.116079
+0.116825
+0.117606
+0.0902155
+0.0882983
+0.0863941
+0.0845038
+0.082627
+0.0807603
+0.0789104
+0.0770782
+0.0752653
+0.0734729
+0.0717009
+0.0699517
+0.068228
+0.0665318
+0.0648653
+0.0632307
+0.0616306
+0.0600678
+0.0585453
+0.0570663
+0.0556343
+0.0542529
+0.0529262
+0.0516583
+0.0504538
+0.0493172
+0.0482506
+0.0472487
+0.0463288
+0.0454959
+0.0447549
+0.0441102
+0.0435664
+0.043127
+0.0427955
+0.0425742
+0.0424649
+0.0424685
+0.0425849
+0.0428133
+0.0431518
+0.0435979
+0.0441483
+0.0447824
+0.0455093
+0.0463285
+0.0472352
+0.0482244
+0.0492912
+0.0504307
+0.0516379
+0.0529084
+0.0542376
+0.0556214
+0.0570557
+0.0585369
+0.0600615
+0.0616258
+0.0632184
+0.0648451
+0.0665041
+0.0681932
+0.0694939
+0.0704041
+0.0713682
+0.072349
+0.0733821
+0.0744548
+0.0755739
+0.0767392
+0.0779487
+0.0792003
+0.0804839
+0.0818043
+0.0831615
+0.0845435
+0.085936
+0.0873465
+0.0887886
+0.0902608
+0.0917617
+0.09329
+0.0948442
+0.0964231
+0.0980255
+0.0996504
+0.101297
+0.102963
+0.104649
+0.106353
+0.108075
+0.109813
+0.111567
+0.112397
+0.112997
+0.113636
+0.114314
+0.115029
+0.115782
+0.116569
+0.0898597
+0.0879348
+0.0860225
+0.0841239
+0.0822398
+0.0803712
+0.0785152
+0.0766736
+0.0748509
+0.0730484
+0.0712658
+0.0695056
+0.0677706
+0.0660627
+0.0643839
+0.0627368
+0.0611238
+0.0595478
+0.0580116
+0.0565186
+0.0550723
+0.0536765
+0.0523352
+0.0510527
+0.0498335
+0.0486824
+0.0476015
+0.0465857
+0.0456525
+0.044807
+0.0440544
+0.0433994
+0.0428465
+0.0423997
+0.0420624
+0.0418372
+0.041726
+0.0417296
+0.0418481
+0.0420805
+0.0424249
+0.0428785
+0.043438
+0.0440907
+0.0448289
+0.0456603
+0.04658
+0.0475828
+0.0486637
+0.0498174
+0.0510392
+0.0523242
+0.0536679
+0.055066
+0.0565145
+0.0580091
+0.0595452
+0.0611212
+0.0627341
+0.064378
+0.0659686
+0.06679
+0.0676656
+0.0686
+0.0695619
+0.0705678
+0.0716236
+0.0727203
+0.0738656
+0.0750575
+0.0762936
+0.0775719
+0.0788819
+0.0802286
+0.0815988
+0.0829908
+0.0843936
+0.0858294
+0.0872966
+0.0887936
+0.0903189
+0.0918711
+0.093449
+0.0950511
+0.0966763
+0.0983234
+0.0999914
+0.101679
+0.103386
+0.105111
+0.106852
+0.10861
+0.110373
+0.111329
+0.111961
+0.112606
+0.11329
+0.114012
+0.11477
+0.115557
+0.0895561
+0.0876245
+0.0857054
+0.0837995
+0.081908
+0.0800316
+0.0781717
+0.0763293
+0.0744986
+0.0726874
+0.0708957
+0.0691261
+0.0673813
+0.0656633
+0.0639741
+0.0623161
+0.0606919
+0.0591044
+0.0575564
+0.0560513
+0.0545926
+0.0531842
+0.0518301
+0.0505348
+0.0493028
+0.048139
+0.0470457
+0.0460176
+0.0450726
+0.0442161
+0.0434532
+0.0427889
+0.0422281
+0.0417746
+0.0414323
+0.0412036
+0.0410907
+0.0410944
+0.0412148
+0.0414507
+0.0418002
+0.0422606
+0.0428282
+0.0434982
+0.0442463
+0.0450884
+0.0460195
+0.0470343
+0.0481275
+0.0492938
+0.0505283
+0.051826
+0.0531819
+0.0545903
+0.0560488
+0.0575539
+0.0591018
+0.0606893
+0.0623134
+0.0633352
+0.0641216
+0.0649594
+0.0658594
+0.0668022
+0.0677783
+0.0688102
+0.0698875
+0.0710109
+0.0721834
+0.0734026
+0.0746661
+0.0759718
+0.0773088
+0.0786659
+0.0800553
+0.0814516
+0.0828805
+0.0843421
+0.0858347
+0.0873567
+0.0889067
+0.0904831
+0.0920847
+0.0937101
+0.0953582
+0.0970277
+0.0987176
+0.100427
+0.102155
+0.103899
+0.105639
+0.107396
+0.109169
+0.110211
+0.110959
+0.11161
+0.1123
+0.113026
+0.113741
+0.114371
+0.0893052
+0.0873681
+0.0854432
+0.0835314
+0.0816336
+0.0797508
+0.0778842
+0.0760348
+0.0742025
+0.0723835
+0.0705856
+0.0688105
+0.0670599
+0.0653349
+0.063637
+0.06197
+0.0603366
+0.0587394
+0.0571815
+0.0556663
+0.0541972
+0.0527783
+0.0514135
+0.0501074
+0.0488646
+0.0476902
+0.0465863
+0.0455479
+0.0445929
+0.043727
+0.0429554
+0.0422833
+0.0417157
+0.0412566
+0.0409099
+0.0406783
+0.040564
+0.0405677
+0.0406896
+0.0409285
+0.0412825
+0.0417486
+0.042323
+0.043001
+0.0437575
+0.0446089
+0.0455498
+0.0465748
+0.0476785
+0.0488556
+0.0501008
+0.0514093
+0.052776
+0.0541949
+0.0556638
+0.057179
+0.0587368
+0.0600736
+0.0607456
+0.0614884
+0.0622898
+0.0631518
+0.0640597
+0.065003
+0.0660055
+0.0670647
+0.0681775
+0.0693287
+0.0705291
+0.0717764
+0.0730681
+0.0744018
+0.0757457
+0.0771214
+0.0785216
+0.0799428
+0.0813982
+0.0828859
+0.0844042
+0.0859516
+0.0875265
+0.0891273
+0.0907529
+0.0924017
+0.0940727
+0.0957646
+0.0974764
+0.0991958
+0.100922
+0.102666
+0.104427
+0.106204
+0.107996
+0.109114
+0.109893
+0.110648
+0.111342
+0.11196
+0.112558
+0.113195
+0.0891075
+0.087166
+0.0852365
+0.08332
+0.0814173
+0.0795294
+0.0776574
+0.0758025
+0.0739644
+0.0721394
+0.0703353
+0.0685537
+0.0667964
+0.0650655
+0.063363
+0.0616913
+0.060053
+0.0584509
+0.0568881
+0.0553653
+0.0538881
+0.0524608
+0.0510875
+0.0497729
+0.0485215
+0.0473385
+0.0462263
+0.0451796
+0.0442167
+0.0433432
+0.0425647
+0.0418864
+0.0413132
+0.0408496
+0.0404994
+0.0402655
+0.04015
+0.0401538
+0.0402769
+0.0405183
+0.0408758
+0.0413465
+0.0419264
+0.0426107
+0.043374
+0.0442328
+0.0451815
+0.0462147
+0.0473268
+0.0485124
+0.0497663
+0.0510833
+0.0524585
+0.0538857
+0.0553629
+0.056886
+0.0575857
+0.0582058
+0.0588991
+0.0596616
+0.0604818
+0.0613452
+0.0622526
+0.0632228
+0.0642531
+0.0653407
+0.0664827
+0.0676755
+0.0689048
+0.0701809
+0.0715014
+0.072836
+0.0742002
+0.075603
+0.0770177
+0.0784662
+0.0799484
+0.0814626
+0.083007
+0.0845799
+0.0861799
+0.0878053
+0.0894548
+0.0911272
+0.0928178
+0.0945123
+0.096223
+0.0979528
+0.0997007
+0.101466
+0.103247
+0.105044
+0.106856
+0.107978
+0.108791
+0.109622
+0.110238
+0.110802
+0.111406
+0.112049
+0.0889634
+0.0870186
+0.0850858
+0.0831658
+0.0812595
+0.0793678
+0.0774919
+0.0756329
+0.0737906
+0.0719612
+0.0701525
+0.0683662
+0.066604
+0.0648679
+0.0631601
+0.0614829
+0.0598389
+0.0582309
+0.056662
+0.0551355
+0.053655
+0.0522245
+0.0508482
+0.0495305
+0.0482755
+0.0470863
+0.045968
+0.0449152
+0.0439465
+0.0430676
+0.042284
+0.0416011
+0.041024
+0.0405571
+0.0402043
+0.0399687
+0.0398523
+0.0398561
+0.0399802
+0.0402233
+0.0405834
+0.0410574
+0.0416414
+0.0423303
+0.0430986
+0.0439627
+0.0449172
+0.0459563
+0.0470745
+0.0482663
+0.0495264
+0.0508497
+0.052231
+0.0536643
+0.0546623
+0.0551564
+0.0557225
+0.0563613
+0.057077
+0.0578544
+0.0586688
+0.0595363
+0.0604708
+0.0614692
+0.0625284
+0.0636454
+0.0648173
+0.0660378
+0.0673003
+0.0686096
+0.0699417
+0.071292
+0.0726734
+0.0740937
+0.0755474
+0.0770235
+0.078533
+0.080074
+0.0816446
+0.0832414
+0.0848591
+0.0865021
+0.0881688
+0.0898518
+0.0915447
+0.0932583
+0.0949916
+0.0967434
+0.0985128
+0.100299
+0.102101
+0.103917
+0.105748
+0.106853
+0.107674
+0.108532
+0.109105
+0.109675
+0.110285
+0.110935
+0.088873
+0.0869262
+0.0849913
+0.0830691
+0.0811605
+0.0792665
+0.0773881
+0.0755266
+0.0736816
+0.0718495
+0.0700379
+0.0682485
+0.0664832
+0.0647438
+0.0630327
+0.061352
+0.0597044
+0.0580927
+0.0565199
+0.0549895
+0.053505
+0.0520704
+0.0506899
+0.049368
+0.0481096
+0.0469197
+0.0458038
+0.0447567
+0.0437845
+0.0429022
+0.0421155
+0.0414299
+0.0408503
+0.0403814
+0.0400271
+0.0397904
+0.0396735
+0.0396773
+0.039802
+0.0400462
+0.0404079
+0.0408839
+0.0414704
+0.042162
+0.0429333
+0.0438007
+0.0447586
+0.0458014
+0.0469233
+0.0481188
+0.0493826
+0.0507096
+0.0520366
+0.0523724
+0.0527971
+0.0533036
+0.053882
+0.0545423
+0.0552634
+0.0560292
+0.0568591
+0.0577538
+0.0587167
+0.0597444
+0.0608337
+0.0619812
+0.0631762
+0.0644204
+0.065714
+0.0670542
+0.0683845
+0.0697546
+0.0711658
+0.0726156
+0.0741019
+0.0756083
+0.0771373
+0.0786976
+0.0802873
+0.0819047
+0.0835483
+0.0852165
+0.0868907
+0.088586
+0.0903027
+0.0920395
+0.0937952
+0.095569
+0.0973597
+0.0991665
+0.100989
+0.102825
+0.104675
+0.105751
+0.10658
+0.107448
+0.107997
+0.108574
+0.109193
+0.109848
+0.0888313
+0.0868838
+0.0849482
+0.0830252
+0.0811158
+0.079221
+0.0773418
+0.0754794
+0.0736351
+0.0718044
+0.0699916
+0.068201
+0.0664344
+0.0646938
+0.0629813
+0.0612992
+0.0596501
+0.0580369
+0.0564626
+0.0549306
+0.0534444
+0.0520081
+0.0506259
+0.0493023
+0.0480422
+0.0468507
+0.0457331
+0.044695
+0.0437317
+0.0428483
+0.0420606
+0.0413741
+0.0407937
+0.0403242
+0.0399694
+0.0397323
+0.0396152
+0.0396191
+0.0397439
+0.0399885
+0.0403507
+0.0408274
+0.0414146
+0.0421072
+0.0428795
+0.043748
+0.044707
+0.0457509
+0.046874
+0.0480708
+0.0493359
+0.0499084
+0.0501695
+0.0505177
+0.0509578
+0.0514698
+0.0520687
+0.0527238
+0.0534361
+0.0542266
+0.0550771
+0.0560003
+0.0569928
+0.058051
+0.0591703
+0.0603381
+0.0615616
+0.0628377
+0.0641633
+0.0654945
+0.066852
+0.0682529
+0.0696945
+0.0711743
+0.0726741
+0.0741988
+0.0757563
+0.0773444
+0.0789613
+0.0806054
+0.0822651
+0.0839395
+0.0856372
+0.0873569
+0.0890972
+0.090857
+0.0926353
+0.0944308
+0.0962427
+0.0980701
+0.0999121
+0.101768
+0.103637
+0.104679
+0.105517
+0.106371
+0.106913
+0.107496
+0.108117
+0.108773
+0.0888385
+0.0868911
+0.0849557
+0.0830329
+0.0811237
+0.079229
+0.07735
+0.0754878
+0.0736437
+0.0718191
+0.0700139
+0.0682239
+0.0664579
+0.0647179
+0.063006
+0.0613246
+0.0596763
+0.0580638
+0.0564902
+0.054959
+0.0534736
+0.0520381
+0.0506567
+0.049334
+0.0480747
+0.046884
+0.0457672
+0.0447299
+0.0437777
+0.0429055
+0.0421189
+0.0414333
+0.0408538
+0.040385
+0.0400307
+0.039794
+0.0396771
+0.039681
+0.0398056
+0.0400498
+0.0404114
+0.0408874
+0.0414738
+0.042166
+0.0429375
+0.0438048
+0.0447627
+0.0458053
+0.0469271
+0.0477017
+0.0478256
+0.0480491
+0.0483295
+0.0486909
+0.0491347
+0.049664
+0.0502406
+0.0508939
+0.051632
+0.0524468
+0.0533256
+0.0542786
+0.055302
+0.0563859
+0.0575267
+0.0587271
+0.0599835
+0.0612925
+0.0626234
+0.0639678
+0.0653571
+0.0667893
+0.0682618
+0.0697507
+0.0712706
+0.0728248
+0.0744109
+0.0760272
+0.0776716
+0.0793233
+0.0809993
+0.0826993
+0.084422
+0.0861659
+0.0879298
+0.0897126
+0.091513
+0.0933302
+0.095163
+0.0970107
+0.0988725
+0.100718
+0.102537
+0.103643
+0.104489
+0.105316
+0.105863
+0.106448
+0.10707
+0.107733
+0.0888996
+0.0869536
+0.0850196
+0.0830983
+0.0811906
+0.0792976
+0.0774202
+0.0755598
+0.0737174
+0.0718947
+0.070093
+0.068314
+0.0665535
+0.0648161
+0.0631069
+0.0614282
+0.0597827
+0.0581732
+0.0566027
+0.0550746
+0.0535924
+0.0521602
+0.0507821
+0.0494627
+0.0482068
+0.0470194
+0.0459059
+0.0448719
+0.0439228
+0.0430538
+0.0422699
+0.0415868
+0.0410095
+0.0405424
+0.0401895
+0.0399538
+0.0398374
+0.0398412
+0.0399653
+0.0402085
+0.0405688
+0.041043
+0.0416272
+0.0423169
+0.0431069
+0.0439709
+0.0449252
+0.045881
+0.0458007
+0.0458251
+0.0459539
+0.0461616
+0.0464565
+0.0468521
+0.0472826
+0.0477946
+0.0484003
+0.0490902
+0.0498531
+0.0506827
+0.0515921
+0.052577
+0.0536335
+0.0547463
+0.0559206
+0.0571547
+0.0584187
+0.0597259
+0.0610753
+0.0624725
+0.0639022
+0.0653632
+0.0668394
+0.0683539
+0.0699042
+0.0714881
+0.0731032
+0.074743
+0.0763939
+0.0780713
+0.0797735
+0.0814992
+0.0832467
+0.0850147
+0.086802
+0.0886075
+0.0904299
+0.0922684
+0.0941219
+0.0959714
+0.0977805
+0.0996049
+0.101444
+0.102643
+0.103496
+0.104201
+0.104844
+0.10543
+0.106058
+0.106728
+0.0890146
+0.0870712
+0.0851398
+0.0832213
+0.0813165
+0.0794265
+0.0775523
+0.0756951
+0.0738561
+0.0720368
+0.0702388
+0.0684636
+0.0667131
+0.064988
+0.0632835
+0.0616096
+0.0599691
+0.0583647
+0.0567995
+0.0552768
+0.0538002
+0.0523737
+0.0510014
+0.0496878
+0.0484377
+0.0472561
+0.0461484
+0.0451198
+0.0441761
+0.0433122
+0.0425331
+0.0418543
+0.0412807
+0.0408167
+0.0404662
+0.0402321
+0.0401165
+0.0401203
+0.0402435
+0.0404851
+0.0408429
+0.0413139
+0.0418944
+0.0425797
+0.043365
+0.0442364
+0.0442032
+0.0440229
+0.0439392
+0.0439646
+0.0440891
+0.0442944
+0.0446017
+0.0449812
+0.0454208
+0.0459535
+0.0465832
+0.0473061
+0.0480903
+0.0489498
+0.0498908
+0.0509087
+0.051999
+0.0531465
+0.0543274
+0.0555595
+0.0568491
+0.0581832
+0.0595676
+0.0609993
+0.062475
+0.0639457
+0.0654538
+0.0669996
+0.0685805
+0.0701943
+0.0718272
+0.0734783
+0.0751569
+0.0768613
+0.0785898
+0.0803409
+0.082113
+0.0839049
+0.0857154
+0.0875432
+0.0893874
+0.0912404
+0.0930383
+0.0948528
+0.0966828
+0.0985276
+0.100386
+0.101506
+0.10236
+0.103108
+0.103804
+0.104385
+0.105
+0.10565
+0.0891833
+0.0872437
+0.0853162
+0.0834017
+0.0815012
+0.0796155
+0.0777458
+0.0758934
+0.0740593
+0.0722452
+0.0704525
+0.0686828
+0.0669381
+0.0652203
+0.0635315
+0.0618681
+0.0602346
+0.0586375
+0.0570798
+0.0555647
+0.054096
+0.0526775
+0.0513133
+0.0500079
+0.048766
+0.0475926
+0.0464929
+0.0454721
+0.0445359
+0.0436791
+0.0429066
+0.0422338
+0.0416654
+0.0412058
+0.0408587
+0.0406269
+0.0405123
+0.0405161
+0.0406381
+0.0408774
+0.0412318
+0.0416984
+0.0422736
+0.0429529
+0.0430616
+0.042677
+0.0423851
+0.0421967
+0.0421094
+0.0421336
+0.0422489
+0.0424581
+0.0427669
+0.0431305
+0.0435896
+0.0441443
+0.0447995
+0.0455507
+0.0463641
+0.047255
+0.048229
+0.049277
+0.0503803
+0.0515205
+0.0527272
+0.0539958
+0.0553134
+0.0566833
+0.0581034
+0.0595703
+0.061072
+0.0625727
+0.0641131
+0.0656905
+0.0673022
+0.0689274
+0.0705782
+0.0722578
+0.0739641
+0.0756954
+0.0774499
+0.0792262
+0.0810227
+0.0828382
+0.0846715
+0.0864856
+0.0883133
+0.0901164
+0.0919363
+0.093772
+0.0956228
+0.0974876
+0.0993657
+0.100395
+0.101259
+0.102051
+0.102706
+0.103305
+0.103935
+0.104592
+0.0894054
+0.0874707
+0.0855483
+0.0836392
+0.0817441
+0.0798642
+0.0780005
+0.0761542
+0.0743266
+0.0725192
+0.0707334
+0.0689709
+0.0672337
+0.0655236
+0.0638429
+0.0621939
+0.0605782
+0.0589904
+0.0574423
+0.0559371
+0.0544784
+0.0530701
+0.0517163
+0.0504213
+0.0491898
+0.0480268
+0.0469372
+0.0459264
+0.0449995
+0.0441517
+0.0433877
+0.0427225
+0.0421607
+0.0417065
+0.0413636
+0.0411346
+0.0410215
+0.0410252
+0.0411457
+0.041382
+0.0417322
+0.0421933
+0.0424167
+0.0418252
+0.0413196
+0.0409084
+0.0406037
+0.0404034
+0.0403123
+0.040327
+0.0404385
+0.0406464
+0.0409333
+0.0413131
+0.0417929
+0.0423713
+0.0430534
+0.0438333
+0.0446668
+0.0455741
+0.046565
+0.047635
+0.0487412
+0.0499191
+0.0511638
+0.0524696
+0.0538227
+0.0552295
+0.0566861
+0.0581881
+0.0597122
+0.0612473
+0.0628202
+0.0644275
+0.0660455
+0.0676958
+0.0693759
+0.0710839
+0.0728178
+0.0745756
+0.0763559
+0.0781542
+0.0799339
+0.0817336
+0.083552
+0.0853878
+0.0872065
+0.089032
+0.0908737
+0.0927305
+0.0946016
+0.0964861
+0.0983814
+0.0993155
+0.100184
+0.101031
+0.101643
+0.102247
+0.102895
+0.10357
+0.0896805
+0.0877518
+0.0858357
+0.0839331
+0.0820449
+0.080172
+0.0783156
+0.0764769
+0.0746573
+0.072858
+0.0710807
+0.0693271
+0.067599
+0.0658984
+0.0642275
+0.0625887
+0.0609846
+0.0594179
+0.0578854
+0.0563921
+0.0549455
+0.0535495
+0.0522081
+0.0509256
+0.0497067
+0.048556
+0.0474786
+0.0464795
+0.0455639
+0.0447268
+0.0439728
+0.0433165
+0.0427625
+0.0423149
+0.0419769
+0.0417513
+0.0416398
+0.0416435
+0.0417622
+0.0419951
+0.0421838
+0.0414478
+0.0407551
+0.0401422
+0.0396194
+0.0391825
+0.0388473
+0.0386248
+0.0385175
+0.0385346
+0.0386322
+0.038837
+0.0391365
+0.0395335
+0.0400356
+0.0406389
+0.0413256
+0.0420949
+0.042962
+0.0439041
+0.0449319
+0.0459998
+0.0471444
+0.0483612
+0.0496449
+0.0509898
+0.0523811
+0.0538256
+0.055307
+0.0568239
+0.0583835
+0.0599727
+0.0615688
+0.0631841
+0.0648332
+0.0665135
+0.0682228
+0.069959
+0.0717113
+0.0734512
+0.0752146
+0.0769999
+0.0788057
+0.0806306
+0.0824733
+0.0843101
+0.0861413
+0.0879889
+0.0898519
+0.0917294
+0.0936188
+0.0955177
+0.0974126
+0.0982446
+0.099118
+0.100032
+0.100608
+0.101219
+0.101873
+0.102569
+0.0900058
+0.0880865
+0.0861779
+0.084283
+0.0824028
+0.0805382
+0.0786905
+0.0768608
+0.0750504
+0.0732608
+0.0714935
+0.0697503
+0.0680329
+0.0663435
+0.0646841
+0.0630571
+0.0614652
+0.0599111
+0.0583978
+0.0569196
+0.0554872
+0.0541056
+0.0527788
+0.051511
+0.0503067
+0.0491705
+0.0481074
+0.0471222
+0.0462198
+0.0454004
+0.0446578
+0.0440117
+0.0434666
+0.0430262
+0.0426939
+0.0424721
+0.0423625
+0.0423661
+0.0424077
+0.0414447
+0.0405765
+0.0397874
+0.0390738
+0.0384556
+0.0379398
+0.0374602
+0.0371039
+0.0368716
+0.0367592
+0.0367613
+0.0368464
+0.0370611
+0.0373817
+0.0377844
+0.0382982
+0.038903
+0.0395982
+0.0404004
+0.0413029
+0.0422817
+0.0433064
+0.0444124
+0.0455969
+0.046854
+0.0481779
+0.0495622
+0.0509866
+0.0524506
+0.0539588
+0.0555125
+0.0571081
+0.058733
+0.0603406
+0.0619839
+0.0636602
+0.0653635
+0.0670571
+0.0687755
+0.0705197
+0.0722882
+0.0740793
+0.0758913
+0.0777229
+0.0795726
+0.0814286
+0.0832655
+0.0851191
+0.0869884
+0.0888709
+0.0907634
+0.0926691
+0.0945871
+0.0963655
+0.0972065
+0.0980892
+0.0990125
+0.0995671
+0.100138
+0.100753
+0.101411
+0.090375
+0.088465
+0.0865684
+0.0846859
+0.0828171
+0.0809621
+0.0791243
+0.0773048
+0.0755051
+0.0737265
+0.0719707
+0.0702393
+0.0685342
+0.0668574
+0.0652111
+0.0635976
+0.0620196
+0.0604797
+0.058981
+0.0575178
+0.0561006
+0.0547345
+0.0534233
+0.0521712
+0.0509825
+0.0498618
+0.0488137
+0.047843
+0.0469545
+0.046153
+0.0454381
+0.0448033
+0.044268
+0.0438357
+0.0435095
+0.0432919
+0.0431421
+0.0419925
+0.0409182
+0.0399196
+0.0390012
+0.0381796
+0.0374452
+0.0367997
+0.0362752
+0.0357834
+0.0354103
+0.0351675
+0.0350414
+0.0349917
+0.0350791
+0.0352971
+0.0355871
+0.035999
+0.0365367
+0.0371845
+0.0379188
+0.0387557
+0.039694
+0.0406707
+0.0417316
+0.0428783
+0.044104
+0.0454024
+0.0467663
+0.0481738
+0.0496232
+0.051121
+0.0526673
+0.054258
+0.0558315
+0.0574367
+0.0590795
+0.060757
+0.0624382
+0.064133
+0.0658545
+0.067603
+0.0693767
+0.0711737
+0.0729921
+0.0748305
+0.0766874
+0.0785615
+0.0804062
+0.0822659
+0.0841403
+0.0860253
+0.0879245
+0.089837
+0.091749
+0.0936649
+0.0953484
+0.0961983
+0.0970902
+0.0978857
+0.0984172
+0.0989943
+0.0996163
+0.100282
+0.0907955
+0.0888946
+0.0870073
+0.0851346
+0.0832773
+0.0814367
+0.0796137
+0.077808
+0.0760202
+0.074254
+0.0725109
+0.0707927
+0.0691013
+0.0674386
+0.0658068
+0.0642083
+0.0626457
+0.0611216
+0.059639
+0.0581923
+0.056792
+0.055443
+0.0541489
+0.052914
+0.0517424
+0.0506384
+0.0496068
+0.0486519
+0.0477785
+0.046991
+0.0462939
+0.0456864
+0.0451615
+0.0447378
+0.0443719
+0.0430326
+0.0417652
+0.0405767
+0.0394641
+0.0384278
+0.0374856
+0.0366279
+0.035874
+0.0351997
+0.034628
+0.0341648
+0.0337512
+0.033471
+0.0333058
+0.0332536
+0.0333449
+0.0335266
+0.0338275
+0.0342606
+0.0348208
+0.0354999
+0.0362938
+0.0371652
+0.0380961
+0.0391125
+0.0402146
+0.0414032
+0.0426714
+0.0440109
+0.0453981
+0.0468301
+0.0483151
+0.0498522
+0.0513937
+0.0529522
+0.0545542
+0.0561959
+0.0578654
+0.0595304
+0.0612257
+0.0629504
+0.0647033
+0.0664821
+0.068285
+0.0701099
+0.0719552
+0.0738194
+0.0757011
+0.0775652
+0.07943
+0.0813062
+0.0831973
+0.0850826
+0.0869798
+0.0888905
+0.0908139
+0.0927491
+0.0943703
+0.0952289
+0.0961298
+0.096765
+0.0973026
+0.0978863
+0.0985153
+0.0991887
+0.0912668
+0.0893759
+0.087499
+0.085637
+0.0837909
+0.0819617
+0.0801507
+0.0783591
+0.0765883
+0.0748396
+0.0731128
+0.0714091
+0.0697326
+0.0680854
+0.0664695
+0.0648873
+0.0633414
+0.0618345
+0.0603694
+0.0589406
+0.0575585
+0.0562279
+0.0549523
+0.0537359
+0.0525825
+0.0514966
+0.0504825
+0.0495445
+0.0486871
+0.0479146
+0.0472311
+0.0466406
+0.0460026
+0.0445357
+0.0431235
+0.0417548
+0.0404453
+0.0392146
+0.0380703
+0.0370033
+0.0360179
+0.0351266
+0.0343521
+0.0336276
+0.0330247
+0.032528
+0.032087
+0.0317904
+0.0316176
+0.0315715
+0.0316169
+0.0318085
+0.0321206
+0.0325764
+0.0331608
+0.0338732
+0.0347095
+0.0355885
+0.0365596
+0.0376174
+0.038762
+0.0399939
+0.041304
+0.0426669
+0.0440777
+0.0455471
+0.0470475
+0.0485478
+0.0500991
+0.0516966
+0.0533363
+0.0549775
+0.0566423
+0.058338
+0.0600657
+0.0618228
+0.0636067
+0.0654154
+0.0672469
+0.0690992
+0.0709708
+0.072848
+0.0746954
+0.0765609
+0.0784432
+0.0803358
+0.0822258
+0.0841304
+0.0860486
+0.0879796
+0.0899225
+0.0918765
+0.0934333
+0.0943005
+0.0951849
+0.0956813
+0.096225
+0.0968152
+0.0974511
+0.0981318
+0.0917879
+0.089908
+0.0880424
+0.0861921
+0.0843582
+0.0825416
+0.0807436
+0.0789654
+0.0772085
+0.0754742
+0.0737643
+0.0720803
+0.0704243
+0.0687958
+0.067197
+0.0656324
+0.0641045
+0.0626159
+0.0611696
+0.0597599
+0.0583972
+0.0570861
+0.0558302
+0.0546332
+0.0534993
+0.0524324
+0.0514367
+0.0505164
+0.0496758
+0.0489189
+0.0480739
+0.046466
+0.0449075
+0.0433966
+0.0419317
+0.0405325
+0.0391953
+0.0379241
+0.0367395
+0.035633
+0.0346034
+0.0336747
+0.032866
+0.0321202
+0.0314885
+0.0309311
+0.0304663
+0.0301539
+0.0299732
+0.0299069
+0.0299495
+0.0301428
+0.030471
+0.0309511
+0.0315656
+0.0323132
+0.0331809
+0.0340798
+0.0350927
+0.0361932
+0.0373814
+0.038656
+0.0399772
+0.0413538
+0.0427983
+0.0442474
+0.0457347
+0.0472767
+0.0488683
+0.0504895
+0.0521139
+0.0537762
+0.055473
+0.0572033
+0.0589643
+0.0607532
+0.0625677
+0.0644056
+0.0662649
+0.068144
+0.0699809
+0.0718352
+0.073708
+0.0755979
+0.0774898
+0.0793871
+0.0812992
+0.083225
+0.0851637
+0.0871142
+0.089076
+0.0910482
+0.0925348
+0.0933706
+0.0941341
+0.0946359
+0.0951856
+0.0957823
+0.096425
+0.097096
+0.092358
+0.09049
+0.0886366
+0.086799
+0.0849782
+0.0831752
+0.0813912
+0.0796275
+0.0778854
+0.0761666
+0.0744725
+0.072805
+0.0711658
+0.069557
+0.0679807
+0.0664392
+0.0649325
+0.0634634
+0.0620368
+0.0606473
+0.059305
+0.0580144
+0.056779
+0.0556025
+0.0544887
+0.0534416
+0.052465
+0.0515631
+0.0505303
+0.048808
+0.0471195
+0.0454739
+0.0438759
+0.042326
+0.0408228
+0.0393842
+0.0380174
+0.0367052
+0.0354793
+0.0343324
+0.0332617
+0.0322941
+0.0314496
+0.0306882
+0.0300155
+0.0294069
+0.0289202
+0.0285909
+0.0284027
+0.0283084
+0.0283535
+0.0285471
+0.0288934
+0.0293993
+0.0300455
+0.03083
+0.0317091
+0.0326485
+0.0337044
+0.0348486
+0.0360571
+0.0373213
+0.0386684
+0.0400846
+0.0414898
+0.0429608
+0.0444911
+0.0460748
+0.0476582
+0.0492786
+0.0509373
+0.0526344
+0.0543668
+0.0561313
+0.0579249
+0.0597449
+0.0615891
+0.0634553
+0.0652936
+0.0671344
+0.0689956
+0.0708757
+0.0727732
+0.0746639
+0.0765686
+0.0784882
+0.0804216
+0.082368
+0.0843263
+0.0862958
+0.0882758
+0.0902445
+0.0916231
+0.092467
+0.0931229
+0.0936302
+0.0941857
+0.0947887
+0.095437
+0.0960858
+0.0929538
+0.0911209
+0.0892807
+0.0874566
+0.0856498
+0.0838612
+0.0820921
+0.0803438
+0.0786176
+0.0769152
+0.0752379
+0.0735877
+0.0719664
+0.0703758
+0.0688183
+0.067296
+0.0658115
+0.0643673
+0.0629662
+0.0615999
+0.0602788
+0.0590095
+0.0577954
+0.05664
+0.055547
+0.0545202
+0.0533073
+0.0514869
+0.0496964
+0.0479391
+0.0462189
+0.0445401
+0.0429074
+0.0413263
+0.0398025
+0.0383268
+0.0369207
+0.0355735
+0.0343071
+0.0331138
+0.0319945
+0.0309877
+0.030103
+0.0293142
+0.0285933
+0.0279563
+0.0274436
+0.0270956
+0.0268636
+0.0267651
+0.0268128
+0.0270348
+0.0274002
+0.0279332
+0.0286126
+0.0293778
+0.0302648
+0.0312773
+0.0323896
+0.0335137
+0.0347387
+0.0360492
+0.0373918
+0.0387836
+0.0402343
+0.0417496
+0.0432984
+0.0448623
+0.0464753
+0.0481304
+0.0498268
+0.0515604
+0.0533278
+0.0551255
+0.0569507
+0.058801
+0.0606396
+0.0624639
+0.0643111
+0.0661792
+0.0680666
+0.0699648
+0.0718604
+0.0737724
+0.0756996
+0.0776406
+0.0795947
+0.0815608
+0.0835344
+0.0854978
+0.0874684
+0.0894414
+0.090751
+0.091603
+0.0921484
+0.092661
+0.0932223
+0.0938315
+0.0944862
+0.0951122
+0.0934686
+0.0916471
+0.0898421
+0.0880546
+0.0862856
+0.0845365
+0.0828083
+0.0811025
+0.0794035
+0.0777183
+0.0760588
+0.0744267
+0.0728241
+0.0712527
+0.0697147
+0.0682125
+0.0667483
+0.0653248
+0.0639447
+0.0626109
+0.0613143
+0.0600669
+0.0588746
+0.0577408
+0.0563291
+0.0544713
+0.0526043
+0.0507587
+0.0489415
+0.0471562
+0.0454063
+0.0436962
+0.0420308
+0.0404155
+0.0388566
+0.0373464
+0.0358955
+0.0344969
+0.033184
+0.0319676
+0.0308072
+0.0297602
+0.028841
+0.0279981
+0.0272371
+0.0265853
+0.0260383
+0.0256383
+0.0253909
+0.0252885
+0.0253498
+0.0255865
+0.0259726
+0.0265176
+0.0271756
+0.0279577
+0.0288851
+0.0299443
+0.03107
+0.0322402
+0.0334792
+0.0347615
+0.0361265
+0.0375654
+0.0390614
+0.0405569
+0.0421086
+0.0437113
+0.0453614
+0.0470556
+0.0487894
+0.0505586
+0.0523598
+0.0541896
+0.0560273
+0.0578311
+0.0596609
+0.0615142
+0.0633891
+0.0652836
+0.0671795
+0.0690821
+0.0710014
+0.0729359
+0.0748846
+0.0768462
+0.07881
+0.080768
+0.0827345
+0.084712
+0.0866693
+0.0886271
+0.0899227
+0.0907479
+0.0912159
+0.0917337
+0.0923007
+0.0929158
+0.093577
+0.0941757
+0.0940186
+0.0922109
+0.0904195
+0.0886436
+0.0868867
+0.0851498
+0.0834344
+0.0817416
+0.080073
+0.0784301
+0.0768145
+0.0752281
+0.0736726
+0.0721501
+0.0706628
+0.0691862
+0.0677431
+0.0663409
+0.0649824
+0.0636703
+0.062398
+0.0611727
+0.0595545
+0.0576342
+0.0557338
+0.0538555
+0.0519841
+0.0501157
+0.0482744
+0.0464634
+0.0446864
+0.0429448
+0.0412382
+0.0395792
+0.037972
+0.0364204
+0.0349373
+0.0335141
+0.0321619
+0.0308946
+0.0297208
+0.0286345
+0.0276511
+0.02677
+0.0259587
+0.0252628
+0.0246874
+0.0242651
+0.0239945
+0.0238639
+0.0239175
+0.0241448
+0.0245532
+0.0251151
+0.0258082
+0.0266304
+0.0276013
+0.0286864
+0.029853
+0.0309818
+0.0322146
+0.0335402
+0.0349529
+0.0364018
+0.0378704
+0.0394057
+0.040995
+0.0426376
+0.0443277
+0.04606
+0.0478291
+0.0496189
+0.0514398
+0.053246
+0.0550538
+0.0568885
+0.0587476
+0.0606288
+0.0625289
+0.0644229
+0.0663322
+0.0682584
+0.0702002
+0.0721562
+0.0741082
+0.0760588
+0.078021
+0.079995
+0.0819668
+0.08392
+0.0858846
+0.0878599
+0.0891118
+0.0898543
+0.0903269
+0.0908498
+0.0914222
+0.0920432
+0.0927106
+0.0932751
+0.0943429
+0.0928153
+0.0910364
+0.0892759
+0.0875347
+0.0858142
+0.0841128
+0.082434
+0.0807797
+0.0791515
+0.077551
+0.0759799
+0.0744401
+0.0729337
+0.0714626
+0.0700292
+0.0686358
+0.0672849
+0.065979
+0.064721
+0.0629939
+0.0610246
+0.0590708
+0.0571342
+0.0552167
+0.0533201
+0.0514074
+0.0495158
+0.0476499
+0.0458127
+0.044008
+0.0422397
+0.0405127
+0.0388271
+0.0371874
+0.0356016
+0.0340829
+0.0326242
+0.0312491
+0.0299387
+0.0287258
+0.02756
+0.0264959
+0.0255604
+0.0247243
+0.0240189
+0.0233972
+0.0229512
+0.022649
+0.0225113
+0.0225681
+0.0228002
+0.0232235
+0.0238111
+0.024545
+0.0254089
+0.0264065
+0.0275385
+0.0286022
+0.0297723
+0.0310476
+0.032421
+0.0338111
+0.0352516
+0.036763
+0.0383367
+0.0399685
+0.0416485
+0.0433615
+0.0451158
+0.0469069
+0.0487219
+0.0505016
+0.0523124
+0.0541514
+0.0560137
+0.0578848
+0.0597777
+0.0616844
+0.0636056
+0.0655437
+0.0674958
+0.0694324
+0.071375
+0.0733317
+0.0753012
+0.0772825
+0.079236
+0.0811958
+0.083167
+0.085149
+0.087141
+0.0883051
+0.0890056
+0.0894827
+0.0900105
+0.0905882
+0.0912149
+0.0918665
+0.0924176
+0.093429
+0.0925911
+0.0917009
+0.0899533
+0.0882256
+0.0865188
+0.0848342
+0.0831732
+0.0815372
+0.0799264
+0.0783417
+0.0767868
+0.0752636
+0.073774
+0.07232
+0.0709039
+0.069528
+0.0681948
+0.0665613
+0.0645549
+0.0625608
+0.0605803
+0.0586119
+0.0566596
+0.0547254
+0.0528112
+0.0509067
+0.0489958
+0.0471093
+0.0452502
+0.043422
+0.0416288
+0.0398754
+0.0381672
+0.0365106
+0.0349013
+0.0333505
+0.0318355
+0.0303853
+0.0290149
+0.0277447
+0.0265774
+0.0254549
+0.0244575
+0.023587
+0.0228474
+0.0221993
+0.0217533
+0.0214433
+0.0212982
+0.021355
+0.0215707
+0.0219828
+0.0225718
+0.0233423
+0.0242638
+0.02529
+0.0263723
+0.0274626
+0.0286734
+0.0299946
+0.0313043
+0.0327085
+0.0341954
+0.0357372
+0.0373415
+0.0389976
+0.0407042
+0.0424553
+0.0442456
+0.0460187
+0.0477986
+0.0496103
+0.0514345
+0.0532864
+0.055163
+0.0570621
+0.0589751
+0.060903
+0.0628481
+0.0647881
+0.0667221
+0.0686716
+0.0706351
+0.0726117
+0.0745796
+0.0765332
+0.0784993
+0.080477
+0.0824655
+0.0844639
+0.086445
+0.0875458
+0.0882032
+0.0886845
+0.0892171
+0.0897999
+0.0904321
+0.0910485
+0.0916046
+0.0925278
+0.0916816
+0.0908804
+0.0901253
+0.088965
+0.0872727
+0.0856029
+0.0839571
+0.0823368
+0.0807433
+0.0791784
+0.0776437
+0.0761412
+0.0746691
+0.0732329
+0.0718348
+0.070285
+0.0682475
+0.0662197
+0.0642027
+0.0621974
+0.0602049
+0.0582237
+0.056258
+0.0543095
+0.0523801
+0.0504721
+0.0485691
+0.0466653
+0.0447878
+0.0429399
+0.0411258
+0.0393389
+0.0375892
+0.0358879
+0.0342422
+0.0326352
+0.0310784
+0.0295892
+0.0281832
+0.0268461
+0.0256202
+0.0244817
+0.0234504
+0.0225489
+0.0218176
+0.021143
+0.0206459
+0.0202948
+0.0201666
+0.0202086
+0.0204163
+0.0208534
+0.021475
+0.0222604
+0.0231874
+0.024198
+0.0252682
+0.0264022
+0.0276248
+0.0288759
+0.0302234
+0.0316532
+0.0331662
+0.0347515
+0.0363997
+0.0381025
+0.039853
+0.0416071
+0.0433468
+0.0451257
+0.0469199
+0.0487464
+0.0506017
+0.0524829
+0.0543873
+0.056306
+0.0582398
+0.0601842
+0.062107
+0.0640471
+0.0660028
+0.0679729
+0.0699515
+0.071902
+0.0738614
+0.0758335
+0.0778173
+0.0798119
+0.0818036
+0.0837661
+0.0857397
+0.0868334
+0.0874483
+0.0879338
+0.0884709
+0.0890586
+0.089696
+0.0902763
+0.0908371
+0.0916685
+0.0908144
+0.0900054
+0.0892429
+0.0885281
+0.0878621
+0.0864204
+0.0847904
+0.0831863
+0.0816094
+0.0800614
+0.0785441
+0.0770591
+0.0756084
+0.0741456
+0.072084
+0.0700303
+0.0679851
+0.0659493
+0.0639237
+0.0619093
+0.0599073
+0.0579159
+0.0559394
+0.0539794
+0.0520377
+0.0501167
+0.0482122
+0.0462925
+0.0443964
+0.0425286
+0.0406899
+0.0388775
+0.0371061
+0.0353798
+0.0336815
+0.032043
+0.0304369
+0.0289032
+0.0274404
+0.0260652
+0.0248007
+0.0236518
+0.022593
+0.0216413
+0.0208324
+0.0201392
+0.0196168
+0.0192666
+0.0191309
+0.019167
+0.019386
+0.0198458
+0.0204487
+0.0212525
+0.0221961
+0.0231693
+0.0242395
+0.0253409
+0.0265189
+0.0278197
+0.029216
+0.0306928
+0.0322508
+0.033879
+0.0355676
+0.0372939
+0.0389799
+0.040714
+0.0424902
+0.0442828
+0.0461097
+0.047967
+0.0498513
+0.0517598
+0.0536829
+0.0556217
+0.0575388
+0.0594665
+0.0614118
+0.0633687
+0.0653398
+0.0673087
+0.0692595
+0.0712242
+0.0732018
+0.0751912
+0.0771915
+0.0791495
+0.0811171
+0.0830958
+0.0850849
+0.0861653
+0.0867422
+0.0872316
+0.087773
+0.0883653
+0.0890077
+0.089551
+0.0901163
+0.090854
+0.0899921
+0.0891757
+0.088406
+0.0876843
+0.0870119
+0.0863897
+0.085645
+0.084056
+0.0824912
+0.0809555
+0.0794505
+0.077978
+0.0760426
+0.073969
+0.0719024
+0.0698433
+0.0677925
+0.0657507
+0.0637188
+0.0616977
+0.0596886
+0.0576897
+0.0557051
+0.0537366
+0.0517859
+0.0498551
+0.0479209
+0.0459911
+0.0440857
+0.042208
+0.0403612
+0.0385354
+0.0367253
+0.0349551
+0.0332351
+0.0315483
+0.0299113
+0.0283492
+0.0268562
+0.0254494
+0.0241528
+0.022971
+0.0218604
+0.0208506
+0.0200091
+0.0192824
+0.0187516
+0.0183531
+0.0182045
+0.0182586
+0.0184614
+0.0188945
+0.0195446
+0.0203223
+0.0212485
+0.0222485
+0.0232462
+0.0243285
+0.0255532
+0.0269008
+0.0283424
+0.0298624
+0.0314616
+0.0331286
+0.034755
+0.0364268
+0.0381511
+0.0399159
+0.0417092
+0.0435338
+0.0453907
+0.0472763
+0.0491871
+0.0511131
+0.0530296
+0.0549408
+0.0568678
+0.058812
+0.0607729
+0.062749
+0.0647011
+0.0666562
+0.0686255
+0.0706079
+0.0726023
+0.0745688
+0.0765288
+0.0785009
+0.0804843
+0.0824782
+0.0844819
+0.0855481
+0.086086
+0.0865792
+0.0871246
+0.0877213
+0.0883548
+0.0888738
+0.0894434
+0.0900853
+0.089216
+0.0883924
+0.0876159
+0.0868877
+0.086209
+0.085581
+0.0850048
+0.0844816
+0.0833986
+0.0818799
+0.0801052
+0.0780165
+0.0759337
+0.073857
+0.0717872
+0.0697247
+0.0676703
+0.0656247
+0.0635888
+0.0615635
+0.0595498
+0.0575461
+0.055548
+0.0535588
+0.051586
+0.0496314
+0.0476962
+0.0457639
+0.0438559
+0.0419679
+0.0401056
+0.0382748
+0.0364465
+0.0346365
+0.0328729
+0.0311636
+0.0295179
+0.027944
+0.0264246
+0.0249938
+0.0236321
+0.0223477
+0.0212047
+0.0201863
+0.0192945
+0.0185435
+0.0179805
+0.0175672
+0.017377
+0.0174366
+0.0176731
+0.0181186
+0.0187177
+0.0195344
+0.0204515
+0.021371
+0.022354
+0.0234775
+0.0247443
+0.0261337
+0.0276153
+0.0291732
+0.0307309
+0.0323139
+0.0339639
+0.0356654
+0.0374176
+0.0392115
+0.0410302
+0.0428837
+0.0447676
+0.0466783
+0.0485791
+0.0504805
+0.0523869
+0.0543148
+0.0562619
+0.0582263
+0.0601962
+0.0621385
+0.0640969
+0.0660699
+0.0680562
+0.0700312
+0.0719814
+0.0739449
+0.075921
+0.0779085
+0.0799066
+0.0819146
+0.0839317
+0.0849829
+0.085481
+0.0859776
+0.0865268
+0.0871277
+0.0877231
+0.0882458
+0.0888194
+0.0893638
+0.0884874
+0.087657
+0.0868739
+0.0861394
+0.0854547
+0.0848211
+0.0842398
+0.0837118
+0.0832381
+0.082148
+0.0800531
+0.0779634
+0.0758794
+0.0738017
+0.0717306
+0.0696669
+0.0676111
+0.0655641
+0.0635241
+0.0614808
+0.059448
+0.0574268
+0.0554184
+0.0534244
+0.0514464
+0.0494864
+0.0475448
+0.0456061
+0.0436912
+0.0417962
+0.0399259
+0.0380845
+0.0362239
+0.0344023
+0.032626
+0.030903
+0.0292427
+0.0276563
+0.0260855
+0.0245915
+0.0232083
+0.0219266
+0.0207394
+0.019686
+0.0187705
+0.0179977
+0.0174168
+0.0169898
+0.0167817
+0.0167595
+0.0169571
+0.0174299
+0.0180665
+0.0188842
+0.0197212
+0.0205688
+0.0216062
+0.0227925
+0.0240954
+0.0255201
+0.0269972
+0.0284509
+0.0299914
+0.031603
+0.0332809
+0.0350154
+0.036798
+0.0386129
+0.0404585
+0.0423353
+0.04421
+0.0460957
+0.0479878
+0.0498932
+0.0518212
+0.0537693
+0.0557355
+0.0576831
+0.0596269
+0.0615872
+0.0635626
+0.0655212
+0.0674831
+0.0694357
+0.0714021
+0.0733812
+0.075372
+0.0773736
+0.079383
+0.0814009
+0.0834275
+0.084429
+0.0849282
+0.085428
+0.0859807
+0.0865854
+0.0871419
+0.0876681
+0.0882454
+0.0886905
+0.0878074
+0.0869705
+0.0861811
+0.0854407
+0.0847504
+0.0841115
+0.0835252
+0.0829926
+0.0825148
+0.0820927
+0.080058
+0.0779685
+0.0758846
+0.073807
+0.0717356
+0.069667
+0.0676031
+0.0655405
+0.0634865
+0.0614419
+0.0594078
+0.0573852
+0.0553753
+0.0533797
+0.0514
+0.0494381
+0.0474776
+0.045535
+0.043616
+0.0417237
+0.039862
+0.037998
+0.036133
+0.0343066
+0.0325251
+0.0307965
+0.0291233
+0.0274701
+0.0258863
+0.0243801
+0.0229673
+0.021636
+0.0204214
+0.0193503
+0.0184237
+0.0176076
+0.0169673
+0.016492
+0.0162668
+0.0162312
+0.0164439
+0.0168994
+0.0174871
+0.0183064
+0.0190839
+0.0199586
+0.0210261
+0.0222412
+0.0235857
+0.024946
+0.0263308
+0.0278115
+0.0293793
+0.0310207
+0.0327194
+0.0344736
+0.0362753
+0.0381178
+0.0399573
+0.0418115
+0.043691
+0.0455693
+0.0474707
+0.0493961
+0.0513399
+0.0532933
+0.0552295
+0.0571728
+0.0591234
+0.0610669
+0.0630265
+0.0649828
+0.0669366
+0.0689047
+0.070884
+0.0728738
+0.0748749
+0.0768862
+0.0789071
+0.0809369
+0.0829748
+0.0837857
+0.0844286
+0.0849314
+0.0854873
+0.0860954
+0.0866123
+0.0871416
+0.087712
+0.0880628
+0.0871771
+0.0863341
+0.0855389
+0.0847928
+0.0840972
+0.0834534
+0.0828624
+0.0823255
+0.0818438
+0.0814182
+0.080114
+0.0780233
+0.0759372
+0.0738563
+0.0717821
+0.0697081
+0.0676388
+0.0655773
+0.0635245
+0.0614812
+0.0594483
+0.0574271
+0.0554188
+0.0534248
+0.0514468
+0.04947
+0.0475079
+0.0455667
+0.0436386
+0.0417241
+0.0398381
+0.0379848
+0.0361576
+0.0343321
+0.0325386
+0.0307792
+0.0290785
+0.027445
+0.025852
+0.0243313
+0.0228699
+0.0215326
+0.0203122
+0.0192196
+0.0182513
+0.0174272
+0.016725
+0.016217
+0.0159265
+0.0158315
+0.0159985
+0.0164313
+0.0170352
+0.0177593
+0.0186054
+0.0195163
+0.0206067
+0.0218452
+0.0231118
+0.0244041
+0.0258159
+0.0273119
+0.0288966
+0.0305563
+0.0322794
+0.0340563
+0.0358569
+0.0376609
+0.039504
+0.0413737
+0.0432308
+0.0451099
+0.0470159
+0.0489458
+0.0508968
+0.0528437
+0.0547623
+0.0566859
+0.0586283
+0.0605876
+0.0625348
+0.0644846
+0.0664493
+0.0684278
+0.0704189
+0.0724215
+0.0744346
+0.0764576
+0.0784895
+0.0805298
+0.0825165
+0.0831951
+0.0839249
+0.0844886
+0.0850474
+0.0856555
+0.0861351
+0.0866568
+0.0872302
+0.087468
+0.0865832
+0.0857451
+0.0849483
+0.084197
+0.0834965
+0.0828479
+0.0822526
+0.0817118
+0.0812264
+0.0807975
+0.0802155
+0.0781275
+0.0760442
+0.0739654
+0.071885
+0.0698115
+0.0677453
+0.0656871
+0.0636379
+0.0615983
+0.0595695
+0.0575525
+0.0555487
+0.053551
+0.0515658
+0.0495924
+0.047615
+0.045657
+0.0437212
+0.0418104
+0.0399285
+0.0380796
+0.0362688
+0.0344493
+0.0326459
+0.0308926
+0.0291849
+0.0275115
+0.0259153
+0.0244115
+0.0229707
+0.0216396
+0.0204103
+0.0192624
+0.0182017
+0.0173389
+0.0166145
+0.0160549
+0.0157527
+0.015653
+0.0158029
+0.0161518
+0.016675
+0.0173762
+0.0182767
+0.0192843
+0.0203871
+0.0215685
+0.0227378
+0.0240329
+0.0254453
+0.0269618
+0.028566
+0.0302415
+0.0319755
+0.0337085
+0.0354865
+0.0373084
+0.0391152
+0.0409487
+0.0428158
+0.0447123
+0.0466346
+0.0485678
+0.0504879
+0.0523968
+0.0543158
+0.0562547
+0.0582062
+0.0601366
+0.0620844
+0.0640479
+0.0660256
+0.0680165
+0.0700192
+0.0720329
+0.0740566
+0.0760896
+0.0781211
+0.0801525
+0.0819219
+0.0826048
+0.0833397
+0.0841006
+0.084662
+0.0852293
+0.0857005
+0.0862247
+0.086801
+0.0869244
+0.086034
+0.0851905
+0.0843955
+0.0836504
+0.0829492
+0.0822964
+0.0816971
+0.0811525
+0.0806637
+0.0802318
+0.0798539
+0.0782912
+0.0762069
+0.0741275
+0.0720519
+0.0699833
+0.0679223
+0.0658697
+0.0638239
+0.0617805
+0.0597475
+0.057726
+0.0557173
+0.0537229
+0.0517443
+0.0497616
+0.0477912
+0.0458407
+0.043913
+0.042011
+0.0401384
+0.0382997
+0.0364998
+0.0346871
+0.0328968
+0.0311305
+0.0294047
+0.0277445
+0.0261625
+0.0246708
+0.0232285
+0.0218291
+0.0204977
+0.0193014
+0.0182729
+0.0173996
+0.0166459
+0.0160805
+0.015767
+0.0156075
+0.0156992
+0.0160327
+0.0165591
+0.0172483
+0.0181401
+0.0191313
+0.0202092
+0.0213068
+0.0224897
+0.0238158
+0.0252373
+0.0267603
+0.0283708
+0.0300241
+0.0317177
+0.033458
+0.0352006
+0.0369687
+0.03878
+0.0406286
+0.0425098
+0.0444054
+0.0462908
+0.0482021
+0.0501111
+0.0520222
+0.0539546
+0.0558738
+0.0578051
+0.0597485
+0.0617085
+0.0636836
+0.0656723
+0.0676735
+0.0696861
+0.0717079
+0.0737207
+0.0757433
+0.077775
+0.0798152
+0.0813755
+0.0820629
+0.0828027
+0.0835933
+0.0843318
+0.0848467
+0.0853199
+0.0858464
+0.0864252
+0.0864329
+0.0855374
+0.084689
+0.0838892
+0.0831395
+0.0824413
+0.0817952
+0.0811968
+0.0806488
+0.080157
+0.0797224
+0.0793421
+0.0785056
+0.0764272
+0.0743539
+0.0722785
+0.0702077
+0.0681444
+0.0660893
+0.0640432
+0.062007
+0.0599817
+0.0579684
+0.0559684
+0.0539832
+0.0520032
+0.0500251
+0.0480655
+0.0461267
+0.0442115
+0.0423229
+0.0404649
+0.0386175
+0.0367828
+0.0349891
+0.033236
+0.0314894
+0.0297843
+0.0281466
+0.0265367
+0.0249577
+0.0234511
+0.0220162
+0.0206827
+0.0194817
+0.0184102
+0.017516
+0.0167843
+0.016223
+0.0158905
+0.0157322
+0.0158232
+0.0161271
+0.0166364
+0.0173344
+0.0181311
+0.0190268
+0.0200713
+0.0212282
+0.0224528
+0.0237729
+0.0251931
+0.0266989
+0.0282691
+0.0298893
+0.0315402
+0.0332339
+0.0349653
+0.0367447
+0.0385665
+0.0404077
+0.042245
+0.044114
+0.0460114
+0.0478955
+0.0497994
+0.0517135
+0.0536174
+0.0555425
+0.0574847
+0.0594386
+0.0614085
+0.0633929
+0.0653905
+0.0673861
+0.0693869
+0.0713979
+0.0734192
+0.0754499
+0.0774893
+0.0795022
+0.0808847
+0.0815763
+0.0823204
+0.0831156
+0.0839605
+0.084519
+0.084994
+0.0855225
+0.0861036
+0.0859945
+0.0850943
+0.0842414
+0.0834374
+0.0826836
+0.0819814
+0.0813317
+0.0807323
+0.0801882
+0.0797006
+0.0792702
+0.0788877
+0.0785565
+0.0766859
+0.0746088
+0.0725384
+0.0704753
+0.06842
+0.0663735
+0.0643364
+0.0623098
+0.0602946
+0.0582921
+0.0563037
+0.0543111
+0.0523286
+0.0503634
+0.0484175
+0.0464934
+0.0445939
+0.0427191
+0.040859
+0.0390067
+0.0371912
+0.0353805
+0.0336006
+0.0318368
+0.030129
+0.0284875
+0.02685
+0.0252697
+0.0237507
+0.0223229
+0.0209813
+0.0197673
+0.0187015
+0.0178225
+0.0170693
+0.01652
+0.0161912
+0.0160401
+0.0159993
+0.0162134
+0.0167002
+0.0173038
+0.0181252
+0.0190582
+0.0200812
+0.021209
+0.0224252
+0.0237732
+0.0252094
+0.0267285
+0.0282342
+0.0297947
+0.0314305
+0.0331297
+0.0348662
+0.0366212
+0.0383933
+0.0402068
+0.0420529
+0.0438982
+0.0457599
+0.0476483
+0.0495582
+0.0514486
+0.053362
+0.0552959
+0.0572465
+0.0592082
+0.0611722
+0.0631406
+0.0651232
+0.0671188
+0.0691261
+0.0711443
+0.0731724
+0.0752009
+0.077208
+0.0792247
+0.0804506
+0.0811459
+0.081894
+0.0826933
+0.0835424
+0.084247
+0.0847236
+0.0852538
+0.0858366
+0.0856098
+0.0847055
+0.0838487
+0.0830409
+0.0822835
+0.0815779
+0.0809249
+0.0803224
+0.0797756
+0.0792855
+0.0788532
+0.0784797
+0.078159
+0.0769933
+0.0749247
+0.0728633
+0.0708096
+0.0687644
+0.0667284
+0.0647025
+0.0626877
+0.0606851
+0.0586928
+0.0566942
+0.0547104
+0.0527429
+0.0507937
+0.0488649
+0.0469539
+0.0450647
+0.043204
+0.0413434
+0.0394947
+0.0376471
+0.0358146
+0.0340246
+0.032284
+0.0305467
+0.0288421
+0.027203
+0.0256374
+0.0241398
+0.0227123
+0.0213938
+0.0201895
+0.019129
+0.0182313
+0.0174458
+0.0168524
+0.0164417
+0.0162358
+0.0161811
+0.0163929
+0.0168341
+0.0174439
+0.0182596
+0.0191997
+0.020235
+0.0212821
+0.0224944
+0.0238468
+0.0252463
+0.0267348
+0.0282774
+0.0298356
+0.0314693
+0.0331275
+0.0348019
+0.036531
+0.0383073
+0.0400822
+0.0418928
+0.0437382
+0.0456064
+0.0474957
+0.0493763
+0.0512761
+0.0531908
+0.0551072
+0.0570433
+0.0589909
+0.060951
+0.0629263
+0.0649155
+0.0669172
+0.0689304
+0.0709542
+0.0729631
+0.0749644
+0.0769761
+0.0789769
+0.0800742
+0.0807727
+0.0815241
+0.082327
+0.0831799
+0.0840248
+0.0845026
+0.0850342
+0.0856185
+0.0852737
+0.0843658
+0.0835055
+0.0826943
+0.0819337
+0.0812251
+0.0805698
+0.0799691
+0.0794212
+0.0789289
+0.0784947
+0.0781195
+0.0778042
+0.0773615
+0.0753031
+0.0732523
+0.0712098
+0.0691764
+0.0671529
+0.0651402
+0.0631394
+0.0611406
+0.0591436
+0.0571608
+0.0551937
+0.0532441
+0.051307
+0.04939
+0.0474967
+0.04563
+0.0437514
+0.041876
+0.0399974
+0.038152
+0.0363264
+0.0345087
+0.0327367
+0.0310159
+0.0293345
+0.0277161
+0.0261795
+0.0246874
+0.0232693
+0.0219656
+0.020786
+0.0197111
+0.0188169
+0.0180225
+0.0173339
+0.0168012
+0.0165251
+0.016457
+0.0166528
+0.0170867
+0.017704
+0.0184928
+0.0194385
+0.0204086
+0.0214617
+0.0226775
+0.0239996
+0.0253775
+0.0268505
+0.0284154
+0.0299705
+0.0315432
+0.0331728
+0.034845
+0.0365254
+0.0382535
+0.040027
+0.04184
+0.0436774
+0.0455128
+0.0473708
+0.0492562
+0.0511444
+0.0530443
+0.0549645
+0.0568946
+0.058843
+0.0608079
+0.0627877
+0.0647812
+0.0667869
+0.0688012
+0.0707846
+0.0727799
+0.0747861
+0.0767595
+0.078737
+0.0797561
+0.0804574
+0.0812118
+0.0820177
+0.0828737
+0.0837783
+0.0843334
+0.0848661
+0.0854516
+0.0849915
+0.0840805
+0.0832173
+0.0824033
+0.0816399
+0.0809287
+0.080271
+0.0796681
+0.0791213
+0.0786316
+0.0781959
+0.0778193
+0.0775028
+0.0772471
+0.0757429
+0.0737043
+0.0716748
+0.0696549
+0.0676458
+0.0656482
+0.0636451
+0.0616514
+0.0596715
+0.0577059
+0.0557507
+0.0538136
+0.0518968
+0.0499905
+0.0480813
+0.0461971
+0.0442981
+0.0423949
+0.0405209
+0.0386801
+0.0368542
+0.0350638
+0.0333185
+0.0316094
+0.0299547
+0.028371
+0.0268236
+0.0253584
+0.0239711
+0.0226853
+0.0215226
+0.0204864
+0.0194704
+0.0185862
+0.0178466
+0.0173157
+0.0170115
+0.0169483
+0.0171506
+0.0176104
+0.0181843
+0.0189478
+0.0197816
+0.0207269
+0.0217215
+0.0228832
+0.0241789
+0.0255378
+0.0269944
+0.0284863
+0.03006
+0.0316521
+0.0332822
+0.034903
+0.0365766
+0.0383025
+0.0400737
+0.0418469
+0.0436517
+0.045488
+0.0473367
+0.0491868
+0.0510639
+0.052965
+0.054882
+0.0568152
+0.0587664
+0.0607339
+0.0627163
+0.064712
+0.0667026
+0.0686767
+0.0706637
+0.0726471
+0.0746049
+0.0765753
+0.0785574
+0.0794971
+0.0802007
+0.0809575
+0.0817659
+0.0826246
+0.0835318
+0.0842209
+0.0847543
+0.0853405
+0.0847493
+0.0838468
+0.0829859
+0.0821696
+0.0814041
+0.0806908
+0.0800311
+0.0794264
+0.0788779
+0.0783869
+0.0779543
+0.0775798
+0.0772624
+0.0770059
+0.0762432
+0.0742183
+0.0722032
+0.0701986
+0.0682014
+0.0661999
+0.0642108
+0.0622325
+0.0602649
+0.0583132
+0.0563791
+0.0544261
+0.0524865
+0.0505673
+0.0486708
+0.0467452
+0.0448389
+0.0429598
+0.0411115
+0.0392984
+0.0374932
+0.0357239
+0.0339934
+0.0323182
+0.0306852
+0.0291127
+0.0276073
+0.0261695
+0.0248112
+0.0235516
+0.022404
+0.0212204
+0.0201595
+0.0192584
+0.0185585
+0.0180213
+0.0177292
+0.0176646
+0.0178108
+0.0182172
+0.0187581
+0.0194679
+0.0202798
+0.0211538
+0.0221291
+0.0232625
+0.0244895
+0.0258037
+0.0272188
+0.0287091
+0.0302136
+0.0317979
+0.0334508
+0.0350875
+0.0367528
+0.0384537
+0.0401721
+0.0419345
+0.0437302
+0.045516
+0.0473359
+0.049186
+0.0510631
+0.0529628
+0.0548762
+0.0568096
+0.0587609
+0.0607287
+0.0627112
+0.0646844
+0.0666463
+0.0686221
+0.070571
+0.0725187
+0.0744798
+0.0764535
+0.0784386
+0.0792882
+0.0799936
+0.0807523
+0.0815628
+0.0824236
+0.0833327
+0.0841653
+0.084699
+0.0852856
+0.0845533
+0.0836487
+0.0827922
+0.0819852
+0.0812267
+0.0805118
+0.0798507
+0.0792446
+0.0786948
+0.0782026
+0.077769
+0.077395
+0.0770815
+0.0768264
+0.0766311
+0.074793
+0.0727938
+0.0707951
+0.0687994
+0.0668117
+0.064835
+0.0628686
+0.0608826
+0.0589112
+0.0569557
+0.055018
+0.0530995
+0.0511733
+0.0492609
+0.0473595
+0.045479
+0.0436274
+0.0418086
+0.0400037
+0.0382154
+0.036471
+0.0347772
+0.0331275
+0.0315246
+0.0299925
+0.0285213
+0.0271038
+0.0257701
+0.0244819
+0.0231704
+0.0219994
+0.0209692
+0.0201084
+0.019406
+0.0188829
+0.0185592
+0.0184361
+0.0185724
+0.0188651
+0.0193727
+0.0200605
+0.0208503
+0.021676
+0.022631
+0.0237413
+0.0249204
+0.0262038
+0.0275769
+0.0290092
+0.0305014
+0.032074
+0.0337156
+0.0353819
+0.0370151
+0.0386734
+0.0403824
+0.0420959
+0.0438389
+0.0456205
+0.0474363
+0.0492827
+0.0511562
+0.0530475
+0.0549578
+0.0568884
+0.0588371
+0.0608024
+0.0627523
+0.0646896
+0.0666426
+0.068572
+0.0705069
+0.0724563
+0.0744191
+0.0758991
+0.0772709
+0.0786798
+0.0798441
+0.0806042
+0.0814162
+0.0822785
+0.0831892
+0.0841368
+0.0847004
+0.085287
+0.0844137
+0.0835076
+0.0826496
+0.0818413
+0.0810841
+0.0803795
+0.0797215
+0.0791177
+0.0785703
+0.0780794
+0.0776451
+0.0772705
+0.0769564
+0.0767037
+0.0765129
+0.0754059
+0.0734047
+0.0714146
+0.0694365
+0.0674327
+0.0654386
+0.0634574
+0.0614904
+0.0595391
+0.0575972
+0.0556542
+0.0537303
+0.0518275
+0.0499381
+0.0480598
+0.0462091
+0.0443893
+0.0425825
+0.0407897
+0.0390374
+0.0373315
+0.0356718
+0.0340477
+0.0324827
+0.0309762
+0.0295265
+0.0281126
+0.0266919
+0.0253238
+0.0240776
+0.0229355
+0.0219336
+0.0211123
+0.0203672
+0.0198133
+0.0194529
+0.0193128
+0.019388
+0.0196678
+0.0201367
+0.0208009
+0.0215205
+0.0223494
+0.0232919
+0.0243256
+0.0254832
+0.0267185
+0.0280545
+0.0294581
+0.0309263
+0.0324761
+0.0340891
+0.0356772
+0.0373154
+0.0389918
+0.0406325
+0.0423224
+0.0440564
+0.0458295
+0.0476374
+0.0494762
+0.0513406
+0.0532221
+0.0551264
+0.0570513
+0.0589829
+0.0608825
+0.0628011
+0.0647369
+0.0666572
+0.0685761
+0.0705108
+0.0720653
+0.073378
+0.0747319
+0.0761247
+0.0775544
+0.079019
+0.0805154
+0.0813283
+0.0821915
+0.0831032
+0.0840517
+0.0847584
+0.0853446
+0.0843307
+0.0834238
+0.0825649
+0.0817558
+0.0809978
+0.0802925
+0.0796412
+0.079041
+0.0784931
+0.0780029
+0.0775715
+0.0771998
+0.076888
+0.0766351
+0.0764441
+0.0760371
+0.0740515
+0.0720408
+0.0700408
+0.0680525
+0.0660771
+0.0641157
+0.0621556
+0.0602003
+0.0582617
+0.0563416
+0.0544419
+0.0525598
+0.050684
+0.0488344
+0.0470142
+0.0452124
+0.0434324
+0.0416761
+0.0399628
+0.0382978
+0.0366591
+0.0350697
+0.0335108
+0.0319994
+0.0304753
+0.0290365
+0.0276307
+0.0263114
+0.0251143
+0.0240154
+0.0229989
+0.0221276
+0.0214067
+0.0208446
+0.0204721
+0.0203148
+0.0203892
+0.0206387
+0.0210859
+0.0216917
+0.0223616
+0.0231449
+0.024019
+0.0250373
+0.0261811
+0.0273428
+0.0286173
+0.0299743
+0.0314184
+0.032945
+0.0345168
+0.0360935
+0.0377231
+0.0393351
+0.0409655
+0.0426461
+0.0443713
+0.046136
+0.0479358
+0.0497655
+0.0516142
+0.053486
+0.0553812
+0.0572416
+0.059116
+0.0610115
+0.0629124
+0.0648025
+0.066711
+0.0682804
+0.0696066
+0.0709027
+0.0722365
+0.0736114
+0.075025
+0.0764753
+0.0779601
+0.0794777
+0.081026
+0.0821629
+0.0830749
+0.0840238
+0.084873
+0.0854584
+0.0842937
+0.0833975
+0.0825384
+0.0817289
+0.0809707
+0.0802651
+0.0796136
+0.0790175
+0.0784769
+0.0779867
+0.0775551
+0.0771834
+0.0768716
+0.0766185
+0.0764275
+0.0762989
+0.0746807
+0.0726873
+0.0707056
+0.0687366
+0.0667621
+0.0647977
+0.0628482
+0.0609151
+0.059
+0.0571048
+0.0552308
+0.053359
+0.0515123
+0.0496936
+0.0478939
+0.0461198
+0.0443743
+0.0426568
+0.0409844
+0.0393311
+0.0377056
+0.0361206
+0.0345135
+0.03296
+0.0314824
+0.0300692
+0.0286897
+0.0274028
+0.0261993
+0.025095
+0.0241052
+0.0232595
+0.0225311
+0.0219786
+0.0216113
+0.0214624
+0.0215203
+0.0217517
+0.0221131
+0.0226421
+0.0233076
+0.023997
+0.0248412
+0.025827
+0.0269292
+0.0280544
+0.0292981
+0.0306357
+0.0320529
+0.0335237
+0.0350429
+0.0366015
+0.0382008
+0.0397958
+0.0414081
+0.0430714
+0.0447802
+0.0465294
+0.0483146
+0.0501273
+0.0519335
+0.0537682
+0.055615
+0.0574624
+0.0593138
+0.0611582
+0.0630248
+0.0644934
+0.0657501
+0.0670547
+0.0684047
+0.0697895
+0.0711441
+0.0725397
+0.0739738
+0.0754443
+0.0769491
+0.0784861
+0.0800536
+0.0816488
+0.0831044
+0.0840529
+0.0850438
+0.0856281
+0.0843098
+0.0834248
+0.0825699
+0.0817608
+0.0810029
+0.0802976
+0.0796463
+0.0790504
+0.0785112
+0.0780297
+0.0776007
+0.0772292
+0.0769175
+0.0766646
+0.0764737
+0.0763452
+0.0753683
+0.0733913
+0.0714076
+0.0694363
+0.0674786
+0.0655356
+0.0636088
+0.0616995
+0.0598096
+0.0579408
+0.0560775
+0.0542349
+0.0524191
+0.050623
+0.0488498
+0.0471116
+0.0454023
+0.0437176
+0.0420334
+0.0403977
+0.0387425
+0.0371077
+0.0355328
+0.0340261
+0.0325648
+0.0311329
+0.0297934
+0.0285375
+0.0273689
+0.0262838
+0.0253209
+0.0244598
+0.0237683
+0.0232457
+0.0228986
+0.0227292
+0.0227584
+0.0229174
+0.023251
+0.02371
+0.0243053
+0.0250087
+0.0258235
+0.0267258
+0.0277488
+0.0288656
+0.0300781
+0.0313933
+0.0327762
+0.0342039
+0.0356682
+0.0371998
+0.0387652
+0.0403222
+0.0419358
+0.0435998
+0.0452915
+0.0469896
+0.0487247
+0.0504928
+0.0522805
+0.0540778
+0.0558877
+0.0576999
+0.0595137
+0.0608623
+0.0620406
+0.0632701
+0.0645505
+0.0658789
+0.0672525
+0.0686685
+0.0701011
+0.071517
+0.0729712
+0.0744615
+0.0759857
+0.0775419
+0.0791242
+0.0807321
+0.0823668
+0.0840269
+0.0851321
+0.0858533
+0.0843756
+0.0834913
+0.0826556
+0.0818513
+0.0810942
+0.0803898
+0.0797392
+0.079144
+0.0786054
+0.0781245
+0.0777024
+0.077337
+0.0770258
+0.0767733
+0.0765826
+0.0764543
+0.0760847
+0.0741084
+0.0721444
+0.0701939
+0.0682579
+0.0663378
+0.0644349
+0.0625509
+0.0606874
+0.0588336
+0.0569959
+0.055184
+0.0533878
+0.0516163
+0.049878
+0.0481733
+0.0464746
+0.0447869
+0.0430953
+0.0414029
+0.0397568
+0.0381655
+0.0366361
+0.0351485
+0.033684
+0.0323017
+0.0309941
+0.0297777
+0.0286017
+0.0275328
+0.0265836
+0.0257631
+0.0251076
+0.0245989
+0.024252
+0.0240775
+0.0240278
+0.0241162
+0.024386
+0.0247812
+0.0253455
+0.0260522
+0.0268649
+0.0277099
+0.0286968
+0.0297865
+0.0309702
+0.0322389
+0.0335579
+0.0349487
+0.0363824
+0.0378791
+0.0393964
+0.0409385
+0.0425288
+0.0441705
+0.045803
+0.0474805
+0.0491983
+0.0509258
+0.0526783
+0.0544387
+0.0562105
+0.0574132
+0.0584987
+0.0596449
+0.0608468
+0.0620999
+0.063404
+0.0647559
+0.0661528
+0.0675918
+0.0690698
+0.0705365
+0.0720106
+0.0735203
+0.0750637
+0.0766385
+0.0782391
+0.0798648
+0.081517
+0.083194
+0.0848944
+0.0861337
+0.0844982
+0.0836151
+0.0827807
+0.0819963
+0.0812446
+0.0805414
+0.0798921
+0.0792981
+0.0787605
+0.0782806
+0.0778593
+0.0774977
+0.0771923
+0.0769404
+0.0767501
+0.0766221
+0.0765565
+0.0748828
+0.0729397
+0.071011
+0.0690979
+0.0672018
+0.0653241
+0.0634664
+0.0616222
+0.05979
+0.0579686
+0.0561686
+0.0543972
+0.0526574
+0.0509524
+0.0492722
+0.0475324
+0.0458057
+0.0441195
+0.0424667
+0.0408634
+0.0393169
+0.0377809
+0.03629
+0.0348732
+0.0335396
+0.0322372
+0.0310098
+0.0298759
+0.0288542
+0.0279597
+0.0271808
+0.0265531
+0.0260498
+0.0256646
+0.0253938
+0.0252879
+0.0253569
+0.0256137
+0.0259862
+0.0265019
+0.0271741
+0.02794
+0.0287652
+0.0297192
+0.0307733
+0.0319156
+0.0331609
+0.0344613
+0.0357965
+0.0371975
+0.0386536
+0.0401263
+0.041661
+0.0432179
+0.0447933
+0.0464077
+0.0480634
+0.0497243
+0.0514249
+0.0531296
+0.0541752
+0.055155
+0.0562032
+0.0573148
+0.0584843
+0.0597095
+0.060986
+0.0623134
+0.0636885
+0.0651083
+0.0665699
+0.0680701
+0.0695993
+0.0711045
+0.0726331
+0.0741949
+0.0757878
+0.077406
+0.0790488
+0.0807176
+0.0824109
+0.0841272
+0.085865
+0.0846649
+0.0837947
+0.0829635
+0.0821808
+0.0814496
+0.0807522
+0.0801047
+0.0795122
+0.0789761
+0.0784975
+0.0780774
+0.0777168
+0.0774166
+0.0771669
+0.0769773
+0.0768496
+0.0767842
+0.0757127
+0.0737914
+0.0718856
+0.0699964
+0.0681253
+0.0662737
+0.0644349
+0.0625908
+0.0607698
+0.0589738
+0.0572054
+0.0554672
+0.053762
+0.0520523
+0.0502899
+0.0485625
+0.0468738
+0.0452263
+0.0436146
+0.0420303
+0.0404589
+0.0389474
+0.0375029
+0.0361337
+0.0347905
+0.0335167
+0.0323379
+0.0312518
+0.0302694
+0.0293876
+0.0286329
+0.0279536
+0.027424
+0.027014
+0.026757
+0.0266544
+0.0267198
+0.0269269
+0.0272565
+0.0277424
+0.0283328
+0.0290628
+0.029905
+0.0308132
+0.0318257
+0.0329291
+0.0341241
+0.0353779
+0.0366936
+0.0380633
+0.039452
+0.0409008
+0.0424062
+0.0439193
+0.0454757
+0.0470693
+0.0486834
+0.0503158
+0.0511749
+0.0520347
+0.0529679
+0.0539696
+0.0550403
+0.056176
+0.057373
+0.0586274
+0.0599315
+0.0612818
+0.0626795
+0.0641216
+0.0656052
+0.067127
+0.0686772
+0.070255
+0.0718017
+0.0733812
+0.0749914
+0.0766264
+0.0782856
+0.0799704
+0.0816791
+0.0834105
+0.0851629
+0.0848783
+0.0840103
+0.083191
+0.0824218
+0.0816941
+0.0810087
+0.0803632
+0.0797727
+0.0792383
+0.0787613
+0.0783426
+0.0779833
+0.0776841
+0.0774457
+0.0772659
+0.0771387
+0.0770736
+0.0765962
+0.0746977
+0.0728156
+0.0709512
+0.0691059
+0.0672522
+0.0654141
+0.0635984
+0.061807
+0.0600421
+0.0583062
+0.0566017
+0.0548451
+0.053085
+0.0513582
+0.0496679
+0.0480175
+0.0463826
+0.0447635
+0.0431808
+0.0416525
+0.0401856
+0.0387871
+0.0374029
+0.0360913
+0.0348652
+0.0337336
+0.0326854
+0.0317089
+0.0308108
+0.0300335
+0.0293784
+0.0288704
+0.0284676
+0.0282238
+0.0281254
+0.0281437
+0.0283006
+0.0285848
+0.0290165
+0.029594
+0.0302678
+0.0310741
+0.0319901
+0.0329794
+0.0340186
+0.035163
+0.0363758
+0.0376458
+0.0389331
+0.0402984
+0.0417157
+0.0431452
+0.0446292
+0.0461416
+0.0477067
+0.048476
+0.0491931
+0.049991
+0.0508708
+0.051825
+0.0528483
+0.0539413
+0.0550997
+0.0563196
+0.057597
+0.0589281
+0.0603094
+0.0617297
+0.0631935
+0.0646984
+0.0662416
+0.0678134
+0.0694173
+0.0710282
+0.0726245
+0.0742511
+0.075902
+0.0775767
+0.0792766
+0.081
+0.0827455
+0.0845118
+0.0851475
+0.0842823
+0.0834657
+0.082699
+0.0819764
+0.0812909
+0.0806592
+0.0800823
+0.07955
+0.0790748
+0.0786579
+0.0783
+0.078002
+0.0777646
+0.0775883
+0.0774737
+0.0774208
+0.0774209
+0.0756566
+0.0737989
+0.071945
+0.0700931
+0.0682612
+0.0664511
+0.0646646
+0.0629035
+0.0611703
+0.0594548
+0.0576691
+0.0559121
+0.0541867
+0.0524961
+0.0508332
+0.0491664
+0.0475363
+0.045944
+0.0444028
+0.0429181
+0.0414759
+0.0400761
+0.0387356
+0.0374707
+0.0362775
+0.0351386
+0.0340834
+0.033118
+0.0322572
+0.0315015
+0.0308765
+0.0303693
+0.0300108
+0.0297506
+0.0296119
+0.0295769
+0.0297039
+0.0299689
+0.0303733
+0.0309055
+0.0315589
+0.0323094
+0.0331618
+0.034107
+0.0351634
+0.0362925
+0.0374198
+0.038615
+0.0398906
+0.0411848
+0.0425039
+0.0438926
+0.0453448
+0.0460805
+0.0466435
+0.0473014
+0.0480499
+0.0488767
+0.0497762
+0.050751
+0.0517956
+0.0529103
+0.0540908
+0.0553329
+0.0566325
+0.0579858
+0.059389
+0.0608309
+0.0623158
+0.0638414
+0.0654047
+0.0670033
+0.0686328
+0.0702863
+0.0719266
+0.0735686
+0.0752346
+0.0769238
+0.0786377
+0.0803749
+0.0821337
+0.0839128
+0.085472
+0.0846102
+0.0837967
+0.0830331
+0.0823136
+0.0816309
+0.0810018
+0.0804275
+0.0799091
+0.0794476
+0.0790326
+0.0786764
+0.0783798
+0.0781436
+0.0779682
+0.0778541
+0.0778015
+0.0778106
+0.0766569
+0.0748002
+0.072955
+0.0711293
+0.0693249
+0.0675433
+0.0657864
+0.0640562
+0.062301
+0.0605199
+0.0587665
+0.0570433
+0.0553533
+0.0536542
+0.0519837
+0.0503465
+0.0487476
+0.0471962
+0.0456812
+0.044197
+0.0427735
+0.041417
+0.0401281
+0.0388571
+0.0376687
+0.0365601
+0.0355342
+0.0345949
+0.033769
+0.0330428
+0.0324323
+0.0319481
+0.0315523
+0.031273
+0.0311049
+0.0310716
+0.0311679
+0.0313999
+0.0317263
+0.032176
+0.0327663
+0.0334897
+0.0343379
+0.0352533
+0.0362763
+0.0372823
+0.0383805
+0.0395654
+0.0408149
+0.0420506
+0.0433433
+0.0440862
+0.044459
+0.0449356
+0.0455127
+0.0461867
+0.0469522
+0.047805
+0.0487386
+0.0497372
+0.0508107
+0.0519512
+0.053153
+0.0544165
+0.0557375
+0.057112
+0.0585362
+0.0599985
+0.0615036
+0.0630488
+0.0646313
+0.0662485
+0.0678979
+0.0695757
+0.0712788
+0.0729456
+0.0746254
+0.0763281
+0.0780552
+0.079805
+0.0815761
+0.0833671
+0.0858513
+0.0849932
+0.0841835
+0.0834234
+0.0827074
+0.0820281
+0.081402
+0.0808305
+0.0803148
+0.0798558
+0.0794545
+0.0791117
+0.0788168
+0.0785818
+0.0784074
+0.0782939
+0.0782417
+0.0782507
+0.077674
+0.0758354
+0.074016
+0.0722172
+0.0704406
+0.068688
+0.0669611
+0.0651701
+0.0633939
+0.0616444
+0.0599239
+0.0582011
+0.0564934
+0.05482
+0.0531843
+0.0515801
+0.0500021
+0.0484623
+0.0469637
+0.0455213
+0.0441405
+0.0427963
+0.0414951
+0.0402654
+0.0391198
+0.0380476
+0.0370443
+0.0361442
+0.0353419
+0.0346484
+0.0340459
+0.033502
+0.0330944
+0.0328122
+0.032619
+0.0325447
+0.0326036
+0.0327818
+0.0330729
+0.0335045
+0.0340718
+0.0347455
+0.035521
+0.0364049
+0.0373949
+0.038365
+0.039433
+0.0405883
+0.041785
+0.0425618
+0.0427267
+0.0429998
+0.0433819
+0.0438702
+0.0444612
+0.0451508
+0.0459329
+0.0468043
+0.0477603
+0.0487941
+0.0498879
+0.0510523
+0.0522825
+0.0535737
+0.0549154
+0.05631
+0.0577539
+0.0592356
+0.0607595
+0.0623232
+0.0639237
+0.0655583
+0.0672246
+0.0689189
+0.0706377
+0.0723821
+0.0740761
+0.0757911
+0.0775301
+0.0792915
+0.0810738
+0.0827049
+0.0862803
+0.0854266
+0.084621
+0.0838649
+0.0831571
+0.0824815
+0.0818589
+0.0812906
+0.0807778
+0.0803214
+0.0799225
+0.079582
+0.0793005
+0.0790784
+0.0789051
+0.0787923
+0.0787404
+0.0787493
+0.0787324
+0.0769191
+0.0751259
+0.0733544
+0.071606
+0.0698542
+0.0680593
+0.0662881
+0.0645427
+0.0627915
+0.0610548
+0.0593481
+0.05767
+0.0560231
+0.0544055
+0.0528211
+0.0512797
+0.0497695
+0.0483116
+0.046904
+0.0455151
+0.0441871
+0.0429281
+0.0417407
+0.0406251
+0.0395847
+0.0386196
+0.0377554
+0.0369453
+0.0362039
+0.035578
+0.0350582
+0.0346268
+0.0343077
+0.0340829
+0.0339978
+0.0340305
+0.0341999
+0.0344879
+0.0348796
+0.0354009
+0.0360351
+0.0367832
+0.0376133
+0.0385071
+0.0394943
+0.0405505
+0.0414973
+0.0414548
+0.0415278
+0.041716
+0.0419996
+0.0423907
+0.0428903
+0.0434946
+0.0441988
+0.0449972
+0.0458863
+0.0468611
+0.0479163
+0.049043
+0.050227
+0.051477
+0.0527884
+0.0541566
+0.0555776
+0.0570434
+0.0585439
+0.0600861
+0.0616669
+0.063284
+0.0649348
+0.0666167
+0.068326
+0.0700594
+0.0718178
+0.0735879
+0.075314
+0.0770611
+0.0788299
+0.0803649
+0.0819174
+0.0867525
+0.0859035
+0.0851024
+0.0843507
+0.0836495
+0.0829903
+0.0823715
+0.0818068
+0.0812972
+0.0808438
+0.0804475
+0.0801092
+0.0798296
+0.0796093
+0.0794488
+0.0793402
+0.0792886
+0.0792976
+0.079367
+0.0780492
+0.0762827
+0.0745386
+0.0727553
+0.0709661
+0.0691906
+0.0674052
+0.0656443
+0.06391
+0.0622044
+0.0605228
+0.0588742
+0.0572591
+0.0556697
+0.0541223
+0.0526082
+0.0511373
+0.0496886
+0.0482796
+0.0469276
+0.0456408
+0.0444198
+0.0432653
+0.0421797
+0.0411793
+0.0402039
+0.0393005
+0.0384799
+0.0377589
+0.0371245
+0.0365657
+0.0361312
+0.0358079
+0.0355925
+0.0355064
+0.0355147
+0.035651
+0.0359146
+0.0362891
+0.0367905
+0.0373909
+0.0380571
+0.0388357
+0.0397017
+0.0406599
+0.0407163
+0.0405547
+0.0405111
+0.0405859
+0.0407785
+0.041087
+0.0414912
+0.0420015
+0.0426184
+0.0433364
+0.0441504
+0.0450563
+0.0460487
+0.047122
+0.048271
+0.049485
+0.0507533
+0.0520829
+0.0534692
+0.054908
+0.0563939
+0.0579116
+0.059471
+0.0610692
+0.0627031
+0.0643702
+0.066067
+0.0677916
+0.0695424
+0.0713163
+0.0731101
+0.0748861
+0.0765726
+0.0780776
+0.0796145
+0.0811814
+0.0872772
+0.0864334
+0.0856372
+0.0848902
+0.0841935
+0.0835465
+0.0829367
+0.0823759
+0.0818698
+0.0814196
+0.0810261
+0.0806902
+0.0804126
+0.0801939
+0.0800346
+0.079935
+0.0798894
+0.0798982
+0.0799671
+0.0792239
+0.0774764
+0.075672
+0.0738594
+0.0720564
+0.0702756
+0.0685184
+0.0667869
+0.0650802
+0.0633987
+0.0617492
+0.0601333
+0.0585437
+0.0569901
+0.0554746
+0.0539756
+0.052508
+0.0510824
+0.0497101
+0.0483981
+0.0471479
+0.0459628
+0.0448255
+0.043726
+0.0426914
+0.0417342
+0.0408422
+0.0400385
+0.0393002
+0.0386559
+0.0381195
+0.037701
+0.0373683
+0.0371482
+0.03703
+0.0370314
+0.0371622
+0.037405
+0.0377601
+0.0381963
+0.0387318
+0.0393754
+0.040124
+0.0405602
+0.0401597
+0.0398757
+0.0397107
+0.0396662
+0.0397426
+0.0399392
+0.040243
+0.0406621
+0.0411881
+0.041817
+0.0425495
+0.0433804
+0.0443042
+0.0453151
+0.0464074
+0.0475756
+0.0488143
+0.050115
+0.0514611
+0.0528637
+0.0543185
+0.0558213
+0.0573561
+0.0589302
+0.0605426
+0.0621904
+0.0638708
+0.0655805
+0.0673176
+0.0690805
+0.0708672
+0.0726761
+0.0743601
+0.075848
+0.0773671
+0.0789178
+0.0804983
+0.0878534
+0.0870152
+0.0862244
+0.0854825
+0.0847907
+0.0841408
+0.0835417
+0.0829897
+0.0824875
+0.0820406
+0.0816501
+0.0813168
+0.0810413
+0.0808243
+0.0806663
+0.0805675
+0.0805282
+0.0805485
+0.0806223
+0.0803924
+0.0785562
+0.0767385
+0.0749408
+0.0731645
+0.0714113
+0.0696828
+0.0679751
+0.0662946
+0.0646448
+0.0630262
+0.0614394
+0.0598808
+0.0583589
+0.0568357
+0.0553572
+0.0539176
+0.052528
+0.0511945
+0.0499051
+0.0486423
+0.047438
+0.046306
+0.0452414
+0.0442331
+0.0432886
+0.0424176
+0.041593
+0.0408693
+0.0402483
+0.0397199
+0.0392894
+0.0389464
+0.0387244
+0.0386052
+0.0386065
+0.0387119
+0.0389248
+0.0392174
+0.039617
+0.0401276
+0.0407496
+0.0403369
+0.039819
+0.039414
+0.0391246
+0.0389565
+0.0389111
+0.038989
+0.0391814
+0.0394904
+0.0399175
+0.0404588
+0.0411098
+0.0418607
+0.042705
+0.043643
+0.0446689
+0.0457767
+0.0469606
+0.048215
+0.0495346
+0.0509054
+0.0523305
+0.053807
+0.0553259
+0.0568795
+0.0584665
+0.0600914
+0.0617512
+0.0634433
+0.0651642
+0.0669121
+0.0686854
+0.0704821
+0.0722122
+0.0736789
+0.0751803
+0.0767126
+0.0782763
+0.0798694
+0.0884801
+0.0876479
+0.0868629
+0.0861264
+0.0854341
+0.0847876
+0.0841931
+0.0836518
+0.0831582
+0.082715
+0.0823277
+0.0819971
+0.081724
+0.0815088
+0.0813521
+0.0812541
+0.0812151
+0.0812353
+0.0813144
+0.081446
+0.0796341
+0.0778416
+0.07607
+0.0743207
+0.0725935
+0.0708871
+0.0692081
+0.0675583
+0.0659377
+0.0643503
+0.0627913
+0.0612333
+0.0597128
+0.0582261
+0.0567802
+0.0553531
+0.0539603
+0.052622
+0.051338
+0.0501058
+0.0489376
+0.0478411
+0.0467921
+0.0458137
+0.0448723
+0.0439846
+0.0431898
+0.0424704
+0.0418534
+0.0413406
+0.0408976
+0.0405575
+0.0403214
+0.0402035
+0.0402005
+0.0402665
+0.0404367
+0.0407018
+0.0410818
+0.041091
+0.0403456
+0.0397071
+0.039181
+0.0387702
+0.038476
+0.038305
+0.0382588
+0.038338
+0.0385328
+0.038847
+0.039281
+0.039831
+0.0404921
+0.0412591
+0.0421262
+0.0430832
+0.0441221
+0.0452433
+0.0464408
+0.0477089
+0.0490421
+0.0504263
+0.0518645
+0.053354
+0.0548904
+0.0564701
+0.058079
+0.0597171
+0.0613871
+0.0630889
+0.0648192
+0.0665762
+0.0683582
+0.0701353
+0.0715776
+0.073057
+0.0745708
+0.0761154
+0.0776911
+0.079296
+0.0891563
+0.0883304
+0.0875515
+0.0868187
+0.0861268
+0.0854856
+0.084896
+0.0843592
+0.0838762
+0.0834415
+0.0830576
+0.0827299
+0.0824592
+0.0822459
+0.0820906
+0.0819935
+0.0819549
+0.0819748
+0.0820533
+0.0821901
+0.080757
+0.07899
+0.0772448
+0.0755181
+0.0738144
+0.0721369
+0.0704874
+0.0688655
+0.0672749
+0.0656751
+0.0641103
+0.062583
+0.0610866
+0.0596016
+0.0581456
+0.0567368
+0.0553789
+0.0540728
+0.0528178
+0.0516209
+0.0504877
+0.0493895
+0.0483644
+0.0473763
+0.0464334
+0.0455764
+0.0447947
+0.0441015
+0.0434802
+0.0429478
+0.0425218
+0.0421884
+0.0419615
+0.0418345
+0.0417761
+0.0418257
+0.0419694
+0.0422246
+0.0414484
+0.0405914
+0.0398366
+0.0391899
+0.0386567
+0.0382412
+0.0379429
+0.0377695
+0.0377227
+0.037803
+0.0379996
+0.0383181
+0.0387581
+0.0393154
+0.039985
+0.0407616
+0.041639
+0.0426112
+0.0436656
+0.0447982
+0.0460073
+0.047287
+0.0486318
+0.0500363
+0.0514877
+0.0529877
+0.0545345
+0.0561241
+0.0577532
+0.0594133
+0.0610992
+0.062809
+0.0645468
+0.066311
+0.0680999
+0.0695508
+0.0710024
+0.0724907
+0.0740139
+0.0755699
+0.0771567
+0.0787725
+0.0898807
+0.0890615
+0.0882891
+0.0875553
+0.0868693
+0.0862336
+0.0856491
+0.0851171
+0.0846384
+0.084214
+0.0838383
+0.0835137
+0.0832455
+0.0830343
+0.0828805
+0.0827843
+0.0827461
+0.0827658
+0.0828435
+0.082979
+0.0819232
+0.0801809
+0.0784561
+0.076755
+0.0750793
+0.0734299
+0.0718076
+0.0701778
+0.0685758
+0.067007
+0.0654731
+0.0639431
+0.0624346
+0.0609676
+0.059545
+0.0581701
+0.0568449
+0.0555661
+0.0543455
+0.0531765
+0.0520417
+0.0509742
+0.0499316
+0.0489393
+0.0480266
+0.0471838
+0.046414
+0.0457263
+0.0451174
+0.0446046
+0.0441931
+0.0438674
+0.043616
+0.0434432
+0.0433796
+0.0434051
+0.043064
+0.0420292
+0.0410702
+0.0402051
+0.039443
+0.0387897
+0.0382509
+0.0378315
+0.0375303
+0.037355
+0.0373076
+0.0373888
+0.0375867
+0.0379087
+0.0383534
+0.0389164
+0.0395929
+0.040377
+0.0412626
+0.0422434
+0.0433067
+0.0444485
+0.0456668
+0.0469558
+0.0483098
+0.0497235
+0.0511919
+0.05271
+0.0542647
+0.055862
+0.0574985
+0.0591708
+0.060876
+0.0626015
+0.0643479
+0.0661174
+0.0676009
+0.0690234
+0.0704854
+0.0719844
+0.073518
+0.0750843
+0.0766812
+0.0783068
+0.0906482
+0.0898361
+0.0890687
+0.0883401
+0.0876603
+0.0870303
+0.0864512
+0.0859242
+0.08545
+0.0850297
+0.0846639
+0.0843472
+0.0840817
+0.0838725
+0.0837202
+0.083625
+0.0835872
+0.0836067
+0.0836836
+0.0838178
+0.0831273
+0.0814059
+0.0797076
+0.0780338
+0.0763847
+0.0747303
+0.0730967
+0.0714929
+0.069921
+0.0683538
+0.0668076
+0.0652918
+0.0638152
+0.0623806
+0.060991
+0.059649
+0.0583495
+0.0571044
+0.0559029
+0.0547368
+0.0536258
+0.0525295
+0.0514942
+0.0505326
+0.049635
+0.0488102
+0.048057
+0.0473903
+0.0467999
+0.0463036
+0.0458883
+0.0455238
+0.0452523
+0.0450811
+0.0450048
+0.0439381
+0.0428124
+0.0417713
+0.0408062
+0.0399355
+0.0391681
+0.0385101
+0.0379673
+0.0375447
+0.0372422
+0.0370655
+0.0370178
+0.0370997
+0.0372981
+0.0376226
+0.0380706
+0.0386378
+0.039319
+0.0401084
+0.0409999
+0.0419868
+0.0430565
+0.0442047
+0.0454296
+0.0467251
+0.0480856
+0.0495057
+0.0509804
+0.0525051
+0.0540756
+0.0556849
+0.0573265
+0.0590037
+0.0607136
+0.0624535
+0.0642161
+0.0657385
+0.0671291
+0.0685615
+0.0700331
+0.0715415
+0.0730845
+0.0746599
+0.0762656
+0.0778999
+0.091459
+0.0906541
+0.0898937
+0.0891719
+0.0884984
+0.0878744
+0.087301
+0.0867791
+0.0863096
+0.0858935
+0.0855314
+0.0852242
+0.084966
+0.0847591
+0.0846084
+0.0845142
+0.0844767
+0.0844961
+0.0845722
+0.0847049
+0.084366
+0.0826704
+0.0809986
+0.079324
+0.0776635
+0.0760298
+0.0744232
+0.0728147
+0.0712373
+0.0696917
+0.06817
+0.0666852
+0.0652401
+0.0638376
+0.0624803
+0.0611631
+0.0598929
+0.0586584
+0.0574649
+0.0563094
+0.0551715
+0.0540985
+0.0530943
+0.0521551
+0.0512811
+0.0504702
+0.0497421
+0.0490926
+0.0485034
+0.0479879
+0.047557
+0.0471903
+0.0469084
+0.0462888
+0.0450089
+0.0438012
+0.0426718
+0.0416272
+0.0406587
+0.0397848
+0.0390144
+0.0383538
+0.0378088
+0.0373844
+0.0370815
+0.036904
+0.0368562
+0.0369381
+0.0371367
+0.0374626
+0.0379125
+0.038482
+0.0391659
+0.0399584
+0.0408531
+0.0418435
+0.0429167
+0.0440686
+0.0452972
+0.0465964
+0.0479605
+0.0493842
+0.0508624
+0.0523906
+0.0539644
+0.05558
+0.0572338
+0.0589175
+0.0606299
+0.0623722
+0.0639721
+0.0653268
+0.066726
+0.0681668
+0.0696468
+0.0711634
+0.0727144
+0.0742976
+0.075911
+0.0775528
+0.0923146
+0.0915172
+0.090764
+0.0900492
+0.0893824
+0.0887646
+0.088197
+0.0876804
+0.0872158
+0.086804
+0.0864457
+0.0861418
+0.0858926
+0.0856925
+0.0855434
+0.0854503
+0.0854132
+0.0854324
+0.0855076
+0.0856389
+0.0848894
+0.0832268
+0.0815892
+0.079978
+0.078395
+0.0768418
+0.0753203
+0.0738324
+0.0723803
+0.0709661
+0.0695747
+0.0681205
+0.0667066
+0.0653355
+0.064003
+0.0627001
+0.0614439
+0.0602144
+0.059022
+0.0578547
+0.0567478
+0.0557052
+0.0547304
+0.0538111
+0.0529548
+0.0521694
+0.0514528
+0.0507784
+0.0501907
+0.0496818
+0.0492195
+0.0488512
+0.0476098
+0.0462627
+0.044982
+0.0437736
+0.0426435
+0.0415982
+0.040629
+0.0397544
+0.0389834
+0.038322
+0.0377762
+0.0373508
+0.0370493
+0.0368719
+0.036824
+0.0369052
+0.0371042
+0.0374304
+0.0378806
+0.0384506
+0.0391351
+0.0399282
+0.0408235
+0.0418146
+0.0428886
+0.0440412
+0.0452705
+0.0465705
+0.0479354
+0.0493598
+0.0508387
+0.0523675
+0.053942
+0.0555582
+0.0572127
+0.0589022
+0.0606224
+0.0623085
+0.0636244
+0.0649864
+0.0663927
+0.0678407
+0.0693276
+0.070851
+0.0724087
+0.0739985
+0.0756183
+0.0772662
+0.0932139
+0.0924243
+0.0916779
+0.0909702
+0.0903102
+0.0896988
+0.0891371
+0.088626
+0.0881664
+0.087759
+0.0874047
+0.0871041
+0.0868577
+0.0866657
+0.0865183
+0.0864262
+0.0863896
+0.0864085
+0.0864829
+0.0865634
+0.0848771
+0.0832142
+0.0815763
+0.0799649
+0.0783816
+0.0768281
+0.0753064
+0.0738182
+0.0723658
+0.0709513
+0.0695771
+0.0682424
+0.0669526
+0.0657106
+0.064519
+0.0633808
+0.0622988
+0.0612761
+0.0603156
+0.0594205
+0.0583638
+0.0573505
+0.0563959
+0.0555012
+0.0546465
+0.0538539
+0.0531302
+0.0524774
+0.0518913
+0.0513556
+0.0505527
+0.049091
+0.0476852
+0.0463403
+0.0450618
+0.0438556
+0.0427275
+0.0416687
+0.0406978
+0.0398238
+0.0390533
+0.0383925
+0.0378471
+0.0374222
+0.0371218
+0.0369445
+0.0368966
+0.0369787
+0.0371819
+0.0375121
+0.0379661
+0.0385394
+0.0392262
+0.040018
+0.0409114
+0.0419004
+0.0429723
+0.0441227
+0.0453498
+0.0466475
+0.0480102
+0.0494325
+0.0509093
+0.052436
+0.0540085
+0.0556228
+0.0572755
+0.0589632
+0.0606816
+0.0620084
+0.063344
+0.0647184
+0.0661304
+0.0675839
+0.0690764
+0.0706053
+0.0721683
+0.0737632
+0.0753881
+0.0770409
+0.0941556
+0.0933739
+0.0926327
+0.0919324
+0.0912793
+0.0906745
+0.0901188
+0.0896133
+0.0891588
+0.088756
+0.0884057
+0.0881085
+0.0878649
+0.0876754
+0.0875321
+0.087441
+0.0874048
+0.0874235
+0.0874971
+0.0866067
+0.0849212
+0.0832593
+0.0816223
+0.0800118
+0.0784295
+0.076877
+0.0753561
+0.073869
+0.0724176
+0.0710042
+0.069631
+0.0682974
+0.0670086
+0.0657676
+0.0645771
+0.0634399
+0.062359
+0.0613373
+0.0603778
+0.0594836
+0.0586575
+0.0579026
+0.0572189
+0.0566021
+0.0560642
+0.0555508
+0.0548412
+0.054188
+0.0535857
+0.0522187
+0.0507104
+0.0492534
+0.0478523
+0.0465123
+0.0452387
+0.0440373
+0.0429043
+0.0418474
+0.0408807
+0.0400108
+0.0392439
+0.0385863
+0.0380437
+0.0376211
+0.0373214
+0.0371451
+0.0370975
+0.0371791
+0.037382
+0.0377105
+0.0381621
+0.0387325
+0.0394166
+0.0402086
+0.0411021
+0.0420909
+0.0431671
+0.0443124
+0.0455344
+0.0468271
+0.0481847
+0.0496019
+0.0510738
+0.0525958
+0.0541637
+0.0557735
+0.0574218
+0.0591053
+0.060494
+0.0617846
+0.0631249
+0.0645048
+0.0659214
+0.0673795
+0.0688763
+0.0704096
+0.0719768
+0.0735759
+0.0752019
+0.0768541
+0.0951384
+0.0943648
+0.093629
+0.0929362
+0.0922903
+0.0916921
+0.0911427
+0.0906429
+0.0901935
+0.0897954
+0.0894492
+0.0891554
+0.0889147
+0.0887274
+0.0885884
+0.0884984
+0.0884627
+0.0884811
+0.0884111
+0.0867054
+0.0850219
+0.0833619
+0.081727
+0.0801186
+0.0785384
+0.0769881
+0.0754695
+0.0739847
+0.0725356
+0.0711245
+0.0697536
+0.0684224
+0.0671361
+0.0658975
+0.0647094
+0.0635746
+0.062496
+0.0614765
+0.0605192
+0.0596271
+0.0588031
+0.0580501
+0.0573681
+0.056753
+0.0562165
+0.055761
+0.0553884
+0.0551005
+0.0540014
+0.0524529
+0.0509516
+0.0495017
+0.0481078
+0.0467751
+0.0455089
+0.0443148
+0.0431891
+0.0421394
+0.0411796
+0.040316
+0.0395551
+0.0389028
+0.0383647
+0.0379456
+0.0376477
+0.0374729
+0.0374257
+0.0375067
+0.0377086
+0.0380342
+0.0384821
+0.0390478
+0.0397265
+0.0405123
+0.0413994
+0.0423812
+0.0434513
+0.0446035
+0.0458232
+0.0471079
+0.0484576
+0.0498671
+0.0513314
+0.052846
+0.0544066
+0.0560095
+0.057651
+0.0591032
+0.0603441
+0.0616304
+0.0629593
+0.0643353
+0.0657556
+0.0672172
+0.0687176
+0.0702543
+0.0718249
+0.0734239
+0.0750502
+0.0767046
+0.095857
+0.0953958
+0.0946656
+0.0939805
+0.0933417
+0.0927503
+0.0922072
+0.0917132
+0.0912691
+0.0908757
+0.0905336
+0.0902434
+0.0900056
+0.0898206
+0.0896858
+0.0895969
+0.0895616
+0.0895798
+0.088562
+0.0868592
+0.0851787
+0.0835219
+0.0818902
+0.0802851
+0.0787082
+0.0771613
+0.0756462
+0.0741649
+0.0727194
+0.0713119
+0.0699447
+0.0686173
+0.0673346
+0.0660998
+0.0649153
+0.0637842
+0.0627092
+0.0616933
+0.0607394
+0.0598506
+0.0590297
+0.058276
+0.057594
+0.0569877
+0.0564535
+0.0559999
+0.0556289
+0.0553423
+0.0543164
+0.0527772
+0.0512853
+0.0498451
+0.0484612
+0.0471384
+0.0458822
+0.0446981
+0.0435823
+0.0425423
+0.0415918
+0.040737
+0.0399841
+0.0393389
+0.0388068
+0.0383925
+0.0380973
+0.0379246
+0.037878
+0.037958
+0.0381583
+0.0384802
+0.0389229
+0.0394823
+0.0401536
+0.0409313
+0.0418094
+0.0427818
+0.0438422
+0.0449843
+0.0462017
+0.0474764
+0.0488159
+0.0502153
+0.0516698
+0.0531747
+0.054726
+0.0563197
+0.0578365
+0.059007
+0.0602345
+0.0615155
+0.0628468
+0.0642253
+0.0656479
+0.0671119
+0.0686146
+0.0701536
+0.0717264
+0.0733275
+0.0749559
+0.0766123
+0.096605
+0.0963649
+0.0957411
+0.0950637
+0.0944323
+0.0938477
+0.093311
+0.0928229
+0.0923841
+0.0919955
+0.0916576
+0.0913709
+0.091136
+0.0909534
+0.0908227
+0.090735
+0.0907001
+0.0904866
+0.0887667
+0.0870679
+0.0853915
+0.0837389
+0.0821115
+0.0805108
+0.0789384
+0.0773961
+0.0758857
+0.0744092
+0.0729685
+0.071566
+0.0702037
+0.0688812
+0.0676036
+0.0663738
+0.0651943
+0.0640681
+0.0629979
+0.0619868
+0.0610343
+0.0601445
+0.0593224
+0.0585707
+0.0578922
+0.0572894
+0.0567649
+0.0563179
+0.0559491
+0.0556641
+0.0547174
+0.0531897
+0.0517098
+0.0502817
+0.0489101
+0.0475999
+0.0463562
+0.0451845
+0.044081
+0.0430531
+0.0421141
+0.0412701
+0.0405271
+0.0398907
+0.0393661
+0.0389577
+0.0386661
+0.0384959
+0.03845
+0.0385288
+0.0387269
+0.0390441
+0.0394805
+0.0400321
+0.0406943
+0.0414619
+0.042329
+0.0432897
+0.044338
+0.0454676
+0.0466724
+0.0479346
+0.0492617
+0.0506488
+0.0520911
+0.0535842
+0.055124
+0.0566863
+0.0577972
+0.0589685
+0.0601967
+0.0614786
+0.0628107
+0.0641899
+0.0656133
+0.067078
+0.0685815
+0.0701211
+0.0716947
+0.0732965
+0.0749256
+0.0765826
+0.0973966
+0.0971584
+0.0968542
+0.0961846
+0.0955606
+0.094983
+0.0944527
+0.0939706
+0.0935372
+0.0931534
+0.0928196
+0.0925366
+0.0923047
+0.0921243
+0.0919958
+0.0919112
+0.0918768
+0.0907398
+0.0890248
+0.087331
+0.0856598
+0.0840125
+0.0823905
+0.0807953
+0.0792286
+0.0776921
+0.0761875
+0.0747169
+0.0732823
+0.0718859
+0.0705298
+0.0692136
+0.0679422
+0.0667186
+0.0655454
+0.0644225
+0.0633533
+0.0623429
+0.061394
+0.0605095
+0.0596924
+0.0589454
+0.0582713
+0.0576725
+0.0571515
+0.0567076
+0.0563413
+0.0560582
+0.0552024
+0.0536886
+0.0522228
+0.0508092
+0.0494522
+0.0481567
+0.0469277
+0.0457707
+0.0446817
+0.0436679
+0.0427424
+0.0419111
+0.0411796
+0.0405535
+0.0400375
+0.0396361
+0.0393487
+0.0391815
+0.0391364
+0.0392138
+0.0394093
+0.039721
+0.04015
+0.0406926
+0.0413442
+0.0421
+0.0429542
+0.0439012
+0.0449352
+0.0460502
+0.0472401
+0.0484875
+0.0497999
+0.0511724
+0.0526004
+0.0540794
+0.0556055
+0.0567309
+0.0578408
+0.0590113
+0.0602387
+0.0615196
+0.0628509
+0.0642292
+0.0656518
+0.0671157
+0.0686183
+0.0701572
+0.0717299
+0.0733309
+0.0749593
+0.0766156
+0.0982306
+0.0979945
+0.0978068
+0.0973419
+0.0967254
+0.0961548
+0.095631
+0.0951548
+0.0947269
+0.0943479
+0.0940184
+0.093739
+0.0935101
+0.093332
+0.0932051
+0.0931241
+0.0927745
+0.0910451
+0.0893359
+0.0876482
+0.0859831
+0.0843421
+0.0827266
+0.081138
+0.079578
+0.0780484
+0.0765508
+0.0750874
+0.07366
+0.0722708
+0.0709222
+0.0696133
+0.068347
+0.0671261
+0.0659553
+0.0648374
+0.0637752
+0.0627716
+0.0618292
+0.0609511
+0.06014
+0.0593986
+0.0587297
+0.0581356
+0.0576188
+0.0571785
+0.0568153
+0.0565346
+0.0557694
+0.0542714
+0.0528217
+0.0514246
+0.0500843
+0.0488056
+0.0475934
+0.0464529
+0.0453803
+0.0443824
+0.0434721
+0.042655
+0.0419366
+0.0413219
+0.0408157
+0.0404216
+0.0401394
+0.0399755
+0.0399313
+0.0400072
+0.0401996
+0.0405052
+0.040926
+0.0414584
+0.0420982
+0.0428406
+0.0436804
+0.044612
+0.0456299
+0.0467284
+0.0479014
+0.049132
+0.0504276
+0.0517835
+0.0531951
+0.054658
+0.0558164
+0.0568598
+0.0579673
+0.0591353
+0.0603602
+0.0616386
+0.0629673
+0.0643432
+0.0657632
+0.0672247
+0.068725
+0.0702615
+0.071832
+0.0734307
+0.0750569
+0.0767112
+0.0991061
+0.098872
+0.0986861
+0.0985344
+0.0979254
+0.0973618
+0.0968446
+0.0963743
+0.0959518
+0.0955777
+0.0952525
+0.0949767
+0.0947507
+0.094575
+0.0944498
+0.0943723
+0.0931218
+0.091399
+0.0896965
+0.0880157
+0.0863577
+0.084724
+0.0831158
+0.0815349
+0.0799826
+0.0784609
+0.0769714
+0.075516
+0.0740969
+0.0727161
+0.0713734
+0.0700682
+0.0688081
+0.0675954
+0.0664329
+0.0653232
+0.0642691
+0.0632732
+0.0623385
+0.0614676
+0.0606634
+0.0599286
+0.0592656
+0.058677
+0.0581649
+0.0577288
+0.057369
+0.0570911
+0.0564158
+0.0549354
+0.0535037
+0.0521248
+0.050803
+0.0495429
+0.0483492
+0.047227
+0.0461723
+0.045192
+0.0442983
+0.0434967
+0.0427924
+0.0421902
+0.0416945
+0.041308
+0.041032
+0.0408717
+0.0408284
+0.0409026
+0.0410916
+0.0413907
+0.0418025
+0.0423239
+0.0429508
+0.0436788
+0.0445027
+0.0454175
+0.0464177
+0.0474979
+0.0486524
+0.0498645
+0.0511415
+0.052479
+0.0538724
+0.0550612
+0.0560332
+0.0570727
+0.0581761
+0.0593399
+0.0605607
+0.061835
+0.0631595
+0.0645313
+0.0659473
+0.0674048
+0.0689011
+0.0704338
+0.0720005
+0.0735957
+0.0752183
+0.076869
+0.100022
+0.09979
+0.0996057
+0.0994694
+0.0991561
+0.0985996
+0.0980889
+0.0976247
+0.0972076
+0.0968383
+0.0965173
+0.0962452
+0.0960222
+0.0958488
+0.0957253
+0.095247
+0.093512
+0.0917965
+0.0901016
+0.0884285
+0.0867784
+0.0851527
+0.0835528
+0.0819803
+0.0804366
+0.0789236
+0.077443
+0.0759967
+0.0745868
+0.0732152
+0.0718818
+0.070586
+0.0693353
+0.068132
+0.0669789
+0.0658784
+0.0648332
+0.0638462
+0.0629199
+0.0620572
+0.0612608
+0.0605332
+0.0598769
+0.0592943
+0.0587877
+0.0583562
+0.0580003
+0.0577254
+0.0571389
+0.0556777
+0.0542656
+0.0529066
+0.0516048
+0.0503647
+0.049191
+0.0480884
+0.0470531
+0.0460915
+0.0452156
+0.0444306
+0.0437413
+0.0431523
+0.0426678
+0.0422895
+0.0420199
+0.0418634
+0.0418212
+0.0418936
+0.0420789
+0.042371
+0.0427734
+0.0432831
+0.0438963
+0.0446088
+0.0454159
+0.0463126
+0.0472939
+0.0483546
+0.0494891
+0.0506812
+0.0519381
+0.0532556
+0.0544667
+0.0553624
+0.0563292
+0.0573633
+0.0584613
+0.0596195
+0.0608347
+0.0621033
+0.0634223
+0.0647885
+0.066199
+0.0676511
+0.0691421
+0.0706695
+0.0722311
+0.0738247
+0.0754429
+0.0770889
+0.100977
+0.100747
+0.100565
+0.10043
+0.100342
+0.0998662
+0.099362
+0.0989037
+0.0984921
+0.0981276
+0.0978108
+0.0975423
+0.0973223
+0.0971513
+0.0970294
+0.0956788
+0.0939518
+0.0922444
+0.0905579
+0.0888933
+0.0872521
+0.0856354
+0.0840447
+0.0824815
+0.0809474
+0.0794441
+0.0779734
+0.0765371
+0.0751373
+0.073776
+0.0724529
+0.0711675
+0.0699272
+0.0687343
+0.0675914
+0.066501
+0.0654658
+0.0644885
+0.0635716
+0.0627179
+0.0619299
+0.0612102
+0.0605613
+0.0599854
+0.0594846
+0.0590583
+0.0587066
+0.0584351
+0.0579358
+0.0564953
+0.0551042
+0.0537663
+0.0524859
+0.0512671
+0.0501145
+0.0490327
+0.0480178
+0.0470758
+0.0462186
+0.0454509
+0.0447774
+0.0442022
+0.0437293
+0.0433596
+0.0430967
+0.0429441
+0.0429029
+0.0429735
+0.0431549
+0.0434397
+0.0438323
+0.0443298
+0.0449288
+0.0456252
+0.0464146
+0.0472924
+0.0482537
+0.0492937
+0.0504071
+0.051578
+0.0528136
+0.054008
+0.0548406
+0.0557368
+0.0566971
+0.0577246
+0.0588159
+0.0599673
+0.0611755
+0.0624373
+0.0637493
+0.0651087
+0.0665124
+0.0679578
+0.0694422
+0.0709632
+0.0725184
+0.0741058
+0.0757234
+0.0773691
+0.10197
+0.101743
+0.101562
+0.101428
+0.101342
+0.101164
+0.100667
+0.100214
+0.0998081
+0.0994484
+0.0991359
+0.0988709
+0.0986539
+0.0984852
+0.0978956
+0.0961585
+0.0944403
+0.0927419
+0.0910646
+0.0894095
+0.0877778
+0.086171
+0.0845904
+0.0830375
+0.0815139
+0.0800212
+0.0785613
+0.077136
+0.0757472
+0.0743971
+0.0730852
+0.0718112
+0.0705821
+0.0694005
+0.0682688
+0.0671894
+0.066165
+0.0651981
+0.0642913
+0.0634473
+0.0626685
+0.0619574
+0.0613164
+0.0607476
+0.0602532
+0.0598323
+0.0594853
+0.0592173
+0.0588036
+0.0573849
+0.0560159
+0.0547003
+0.0534423
+0.0522458
+0.0511153
+0.0500551
+0.0490613
+0.0481398
+0.0473019
+0.0465521
+0.0458946
+0.0453337
+0.0448727
+0.0445118
+0.0442557
+0.0441071
+0.0440671
+0.0441358
+0.0443129
+0.0445905
+0.0449731
+0.0454581
+0.0460424
+0.0467222
+0.0474934
+0.0483516
+0.0492923
+0.0503108
+0.0514022
+0.0525509
+0.0537136
+0.0544627
+0.0552885
+0.0561876
+0.0571467
+0.0581663
+0.0592494
+0.0603926
+0.0615924
+0.0628458
+0.0641495
+0.0655005
+0.0668961
+0.0683333
+0.0698097
+0.0713229
+0.0728705
+0.0744504
+0.0760606
+0.0776992
+0.103
+0.102775
+0.102596
+0.102464
+0.102378
+0.102339
+0.102002
+0.101555
+0.101154
+0.1008
+0.100491
+0.10023
+0.100016
+0.0998494
+0.0984133
+0.0966855
+0.0949768
+0.0932882
+0.0916209
+0.089976
+0.0883548
+0.0867587
+0.085189
+0.0836472
+0.0821349
+0.0806537
+0.0792055
+0.077792
+0.0764151
+0.075077
+0.0737772
+0.0725153
+0.0712984
+0.0701289
+0.0690091
+0.0679415
+0.0669286
+0.0659729
+0.0650769
+0.0642432
+0.0634742
+0.0627722
+0.0621396
+0.0615784
+0.0610907
+0.0606756
+0.0603334
+0.0600692
+0.0597392
+0.0583432
+0.0569972
+0.0557049
+0.05447
+0.0532966
+0.0521889
+0.051151
+0.0501789
+0.0492783
+0.04846
+0.0477284
+0.0470874
+0.0465408
+0.0460919
+0.04574
+0.0454908
+0.0453463
+0.0453073
+0.0453742
+0.0455465
+0.0458173
+0.0461897
+0.0466621
+0.0472315
+0.0478944
+0.048647
+0.0494852
+0.0504047
+0.0514012
+0.0524699
+0.0535657
+0.0542594
+0.0550011
+0.0558189
+0.0567096
+0.0576698
+0.0586865
+0.0597601
+0.0608937
+0.0620839
+0.0633276
+0.0646215
+0.0659629
+0.0673488
+0.0687766
+0.0702437
+0.0717477
+0.0732864
+0.0748575
+0.0764591
+0.0780893
+0.104066
+0.103844
+0.103666
+0.103535
+0.103451
+0.103412
+0.103366
+0.102925
+0.10253
+0.10218
+0.101876
+0.101618
+0.101407
+0.100331
+0.0989036
+0.097259
+0.0955605
+0.0938824
+0.0922259
+0.090592
+0.088982
+0.0873973
+0.0858393
+0.0843094
+0.0828092
+0.0813403
+0.0799045
+0.0785036
+0.0771395
+0.0758141
+0.0745272
+0.0732782
+0.0720742
+0.0709174
+0.0698103
+0.0687551
+0.0677544
+0.0668105
+0.0659259
+0.0651031
+0.0643443
+0.063652
+0.0630282
+0.062475
+0.0619944
+0.0615851
+0.061248
+0.0609877
+0.0607394
+0.0593669
+0.0580447
+0.0567762
+0.0555652
+0.0544154
+0.0533309
+0.0523156
+0.0513656
+0.0504862
+0.0496878
+0.0489745
+0.0483501
+0.0478179
+0.0473805
+0.0470381
+0.0467959
+0.0466554
+0.0466175
+0.0466825
+0.04685
+0.047114
+0.0474762
+0.0479359
+0.0484904
+0.0491363
+0.0498701
+0.0506881
+0.0515862
+0.0525604
+0.0535934
+0.0542015
+0.0548872
+0.0556205
+0.0564293
+0.0573106
+0.0582609
+0.0592769
+0.0603461
+0.0614689
+0.0626482
+0.0638808
+0.0651638
+0.0664943
+0.0678693
+0.0692864
+0.0707429
+0.0722366
+0.073765
+0.0753261
+0.076918
+0.0785387
+0.105167
+0.104947
+0.104772
+0.104642
+0.104558
+0.10452
+0.104528
+0.104323
+0.103933
+0.103588
+0.103288
+0.103034
+0.102129
+0.100683
+0.0992638
+0.0977946
+0.0961906
+0.0945237
+0.0928786
+0.0912564
+0.0896584
+0.0880858
+0.0865402
+0.0850229
+0.0835355
+0.0820797
+0.080657
+0.0792694
+0.0779187
+0.0766068
+0.0753334
+0.074098
+0.0729076
+0.0717642
+0.0706704
+0.0696282
+0.0686402
+0.0677087
+0.066836
+0.0660245
+0.0652765
+0.0645941
+0.0639795
+0.0634346
+0.0629613
+0.0625557
+0.0622238
+0.0619677
+0.0617882
+0.0604528
+0.0591548
+0.0579106
+0.0567238
+0.055598
+0.054537
+0.0535446
+0.0526168
+0.0517586
+0.0509802
+0.0502853
+0.0496773
+0.0491595
+0.0487335
+0.0484007
+0.0481653
+0.0480288
+0.047992
+0.0480552
+0.0482179
+0.048475
+0.0488272
+0.0492743
+0.0498138
+0.0504428
+0.0511579
+0.0519556
+0.0528322
+0.0537838
+0.0543174
+0.0549175
+0.0555943
+0.0563184
+0.0571174
+0.0579881
+0.0589275
+0.0599323
+0.0609992
+0.0621161
+0.0632833
+0.0645038
+0.0657746
+0.067093
+0.068456
+0.0698612
+0.071306
+0.072788
+0.0743051
+0.0758552
+0.0774361
+0.0790462
+0.106302
+0.106084
+0.105911
+0.105782
+0.105699
+0.105662
+0.10567
+0.105723
+0.105364
+0.105023
+0.104727
+0.103988
+0.102521
+0.101081
+0.0996675
+0.0982232
+0.0967676
+0.0952111
+0.0935781
+0.0919682
+0.0903828
+0.0888231
+0.0872905
+0.0857865
+0.0843126
+0.0828703
+0.0814615
+0.0800878
+0.0787511
+0.0774533
+0.0761941
+0.0749729
+0.0737966
+0.0726672
+0.0715872
+0.0705586
+0.0695838
+0.068665
+0.0678047
+0.0670049
+0.0662679
+0.0655959
+0.0649907
+0.0644544
+0.0639867
+0.0635869
+0.0632605
+0.0630085
+0.062832
+0.0615974
+0.060324
+0.0591045
+0.0579421
+0.0568405
+0.0558031
+0.0548337
+0.053928
+0.053091
+0.0523324
+0.0516557
+0.051064
+0.0505604
+0.0501457
+0.0498224
+0.0495937
+0.0494612
+0.0494254
+0.0494868
+0.0496448
+0.0498952
+0.0502374
+0.0506721
+0.0511969
+0.051809
+0.0525056
+0.0532831
+0.0541382
+0.0546059
+0.0551159
+0.0557074
+0.0563777
+0.0570919
+0.0578802
+0.0587396
+0.0596672
+0.0606597
+0.061714
+0.0628271
+0.0639871
+0.0651945
+0.0664521
+0.0677572
+0.0691072
+0.0704994
+0.0719314
+0.0734008
+0.0749055
+0.0764433
+0.0780124
+0.0796108
+0.107469
+0.107254
+0.107082
+0.106955
+0.106873
+0.106836
+0.106844
+0.106897
+0.10682
+0.106484
+0.105905
+0.104419
+0.102959
+0.101524
+0.100117
+0.0986986
+0.0972501
+0.0958247
+0.0943232
+0.0927263
+0.0911541
+0.0896078
+0.0880889
+0.0865987
+0.0851389
+0.0837109
+0.0823164
+0.0809573
+0.0796352
+0.078352
+0.0771075
+0.075901
+0.0747392
+0.0736244
+0.0725585
+0.0715439
+0.0705827
+0.0696772
+0.0688294
+0.0680417
+0.0673161
+0.0666546
+0.0660592
+0.0655316
+0.0650691
+0.0646759
+0.064355
+0.0641074
+0.0639339
+0.0627976
+0.0615491
+0.0603543
+0.0592165
+0.0581389
+0.0571252
+0.0561785
+0.0552949
+0.0544789
+0.0537399
+0.0530811
+0.0525055
+0.0520159
+0.0516123
+0.0512982
+0.0510762
+0.0509475
+0.0509128
+0.0509723
+0.0511257
+0.0513695
+0.051702
+0.0521244
+0.0526347
+0.0532304
+0.0539086
+0.0546662
+0.0550579
+0.0554773
+0.0559794
+0.0565618
+0.0572223
+0.0579379
+0.0587148
+0.0595622
+0.0604772
+0.0614566
+0.0624975
+0.0635969
+0.0647517
+0.0659507
+0.0671942
+0.0684852
+0.0698211
+0.0711993
+0.0726175
+0.0740733
+0.0755646
+0.0770893
+0.0786455
+0.0802313
+0.108668
+0.108455
+0.108285
+0.10816
+0.108079
+0.108042
+0.10805
+0.108102
+0.108194
+0.107877
+0.106374
+0.104895
+0.103441
+0.102013
+0.100613
+0.0992201
+0.0977793
+0.0963617
+0.0949735
+0.0935296
+0.0919711
+0.0904388
+0.0889341
+0.0874583
+0.086013
+0.0845998
+0.0832203
+0.0818761
+0.0805691
+0.079301
+0.0780716
+0.0768803
+0.0757335
+0.0746335
+0.0735823
+0.072582
+0.0716347
+0.0707427
+0.0699079
+0.0691324
+0.0684184
+0.0677676
+0.0671821
+0.0666623
+0.0662062
+0.0658199
+0.0655046
+0.0652613
+0.0650909
+0.0640502
+0.0628266
+0.0616566
+0.0605433
+0.0594898
+0.0584994
+0.0575754
+0.0567135
+0.0559183
+0.0551986
+0.0545574
+0.0539975
+0.0535215
+0.0531288
+0.0528237
+0.0526081
+0.0524832
+0.0524495
+0.0525073
+0.0526562
+0.0528935
+0.0532165
+0.053627
+0.0541231
+0.0547026
+0.0553627
+0.055679
+0.0560081
+0.0564204
+0.0569141
+0.0574871
+0.0581371
+0.0588533
+0.0596184
+0.0604531
+0.0613548
+0.0623204
+0.0633471
+0.064432
+0.0655721
+0.0667647
+0.0679988
+0.0692748
+0.0705957
+0.0719591
+0.0733626
+0.0748039
+0.0762809
+0.0777916
+0.079334
+0.0809063
+0.109898
+0.109687
+0.109519
+0.109395
+0.109315
+0.109279
+0.109283
+0.109326
+0.109413
+0.108382
+0.106885
+0.105414
+0.103967
+0.102547
+0.101154
+0.0997849
+0.0983544
+0.0969453
+0.0955656
+0.0942166
+0.0928326
+0.0913148
+0.0898247
+0.0883639
+0.0869336
+0.0855356
+0.0841714
+0.0828427
+0.0815512
+0.0802986
+0.0790847
+0.0779089
+0.0767775
+0.0756927
+0.0746564
+0.0736706
+0.0727376
+0.0718592
+0.0710375
+0.0702745
+0.0695722
+0.0689324
+0.0683568
+0.0678436
+0.0673954
+0.0670159
+0.0667063
+0.0664674
+0.0663001
+0.0653523
+0.0641536
+0.0630082
+0.0619192
+0.0608895
+0.0599223
+0.0590205
+0.0581801
+0.0574051
+0.0567043
+0.0560803
+0.0555358
+0.0550729
+0.054691
+0.0543946
+0.0541853
+0.054064
+0.0540313
+0.0540874
+0.054232
+0.054463
+0.0547767
+0.0551756
+0.055658
+0.0562216
+0.0564634
+0.0567034
+0.0570266
+0.0574316
+0.0579167
+0.0584799
+0.0591189
+0.0598314
+0.0605877
+0.0614092
+0.062297
+0.0632483
+0.0642602
+0.0653299
+0.0664546
+0.0676316
+0.0688508
+0.0701142
+0.0714225
+0.0727723
+0.0741604
+0.0755865
+0.0770485
+0.0785444
+0.0800723
+0.0816304
+0.111157
+0.110948
+0.110783
+0.11066
+0.110579
+0.110535
+0.110534
+0.110577
+0.11044
+0.108928
+0.107439
+0.105975
+0.104536
+0.103124
+0.101739
+0.10038
+0.0989747
+0.0975745
+0.0962038
+0.094864
+0.0935562
+0.0922345
+0.0907595
+0.089314
+0.0878992
+0.0865168
+0.0851683
+0.0838554
+0.0825797
+0.081343
+0.0801449
+0.0789848
+0.0778691
+0.0767997
+0.0757785
+0.0748076
+0.0738889
+0.0730243
+0.0722159
+0.0714655
+0.070775
+0.0701462
+0.0695804
+0.069074
+0.0686339
+0.0682613
+0.0679574
+0.0677229
+0.0675587
+0.066701
+0.0655269
+0.0644059
+0.063341
+0.0623348
+0.0613903
+0.0605104
+0.059691
+0.0589359
+0.0582535
+0.0576463
+0.0571166
+0.0566654
+0.0562945
+0.0560066
+0.0558034
+0.0556856
+0.0556539
+0.0557083
+0.0558487
+0.0560742
+0.0563789
+0.0567666
+0.0572355
+0.0574045
+0.0575573
+0.0577927
+0.0581099
+0.0585074
+0.0589836
+0.0595367
+0.0601645
+0.0608642
+0.0616193
+0.0624276
+0.0633011
+0.0642375
+0.0652341
+0.0662881
+0.0673968
+0.0685576
+0.0697606
+0.0710078
+0.0722999
+0.0736345
+0.0750094
+0.0764204
+0.0778668
+0.0793473
+0.08086
+0.0824032
+0.112445
+0.112239
+0.112075
+0.111945
+0.111859
+0.111815
+0.111814
+0.111856
+0.111019
+0.109515
+0.108035
+0.106579
+0.105148
+0.103744
+0.102367
+0.101017
+0.0996322
+0.0982486
+0.0968875
+0.0955572
+0.094259
+0.0929944
+0.0917372
+0.0903072
+0.0889083
+0.0875418
+0.0862094
+0.0849125
+0.083653
+0.0824324
+0.0812504
+0.0801063
+0.0790064
+0.0779526
+0.0769467
+0.0759907
+0.0750865
+0.0742359
+0.0734408
+0.0727031
+0.0720244
+0.0714066
+0.0708485
+0.0703513
+0.0699192
+0.0695535
+0.0692552
+0.0690251
+0.068864
+0.0680899
+0.0669402
+0.0658433
+0.0648019
+0.0638188
+0.0628966
+0.0620381
+0.0612415
+0.0605031
+0.0598356
+0.0592417
+0.0587236
+0.0582833
+0.0579225
+0.0576427
+0.0574452
+0.0573308
+0.0573
+0.0573529
+0.0574893
+0.0577086
+0.0580098
+0.0583918
+0.0584874
+0.0585628
+0.0587125
+0.0589434
+0.0592544
+0.0596442
+0.0601115
+0.0606543
+0.0612706
+0.0619541
+0.0626961
+0.063505
+0.0643642
+0.0652853
+0.0662661
+0.0673039
+0.0683962
+0.0695404
+0.0707266
+0.0719571
+0.0732324
+0.0745504
+0.0759087
+0.0773052
+0.0787376
+0.080202
+0.0816989
+0.0832265
+0.11376
+0.113549
+0.113379
+0.113251
+0.113166
+0.113122
+0.113121
+0.113135
+0.111634
+0.110143
+0.108671
+0.107224
+0.105802
+0.104406
+0.103039
+0.101697
+0.100331
+0.0989666
+0.0976155
+0.0962952
+0.0950072
+0.0937526
+0.0925329
+0.0913423
+0.0899594
+0.0886092
+0.087293
+0.0860125
+0.0847693
+0.083565
+0.0823992
+0.0812713
+0.0801874
+0.0791493
+0.0781589
+0.0772179
+0.0763282
+0.0754916
+0.0747098
+0.0739848
+0.073318
+0.0727111
+0.0721608
+0.0716727
+0.0712486
+0.0708898
+0.0705971
+0.0703714
+0.0702135
+0.0695177
+0.068392
+0.0673187
+0.0663005
+0.0653399
+0.0644395
+0.0636019
+0.0628178
+0.062098
+0.0614479
+0.0608697
+0.0603656
+0.0599373
+0.0595865
+0.0593146
+0.0591227
+0.0590115
+0.0589816
+0.059033
+0.0591655
+0.0593786
+0.0596714
+0.0597023
+0.0597041
+0.0597789
+0.0599256
+0.0601518
+0.0604566
+0.0608388
+0.0612969
+0.0618293
+0.0624341
+0.0631012
+0.0638299
+0.0646246
+0.065483
+0.0663889
+0.0673536
+0.0683749
+0.0694503
+0.0705774
+0.0717465
+0.0729598
+0.0742179
+0.0755187
+0.0768598
+0.0782394
+0.0796553
+0.0811056
+0.0825874
+0.0840989
+0.115089
+0.114879
+0.114711
+0.114585
+0.1145
+0.114457
+0.114456
+0.113776
+0.112283
+0.110811
+0.109348
+0.107909
+0.106496
+0.10511
+0.103752
+0.102412
+0.101072
+0.0997203
+0.0983869
+0.0970771
+0.0957996
+0.0945555
+0.0933463
+0.0921733
+0.091038
+0.0897173
+0.0884176
+0.0871536
+0.0859269
+0.0847391
+0.0835897
+0.0824781
+0.0814103
+0.080388
+0.079413
+0.078487
+0.0776118
+0.0767892
+0.0760209
+0.0753084
+0.0746534
+0.0740557
+0.0735149
+0.0730359
+0.0726198
+0.0722678
+0.0719807
+0.0717594
+0.0716045
+0.0709844
+0.0698823
+0.0688323
+0.0678368
+0.0668983
+0.0660191
+0.0651976
+0.0644299
+0.0637283
+0.063095
+0.062532
+0.0620414
+0.0616248
+0.0612836
+0.0610193
+0.0608328
+0.0607248
+0.0606957
+0.0607456
+0.0608744
+0.0610815
+0.0610504
+0.0609735
+0.0609753
+0.0610495
+0.0611931
+0.0614147
+0.0617132
+0.0620876
+0.0625366
+0.0630586
+0.0636516
+0.0643026
+0.0650178
+0.0657981
+0.0666414
+0.0675453
+0.0684939
+0.0694985
+0.0705568
+0.0716664
+0.0728181
+0.0740138
+0.0752543
+0.0765374
+0.077861
+0.0792231
+0.0806217
+0.082055
+0.0835212
+0.0850185
+0.116442
+0.116235
+0.116069
+0.115944
+0.11586
+0.115818
+0.115817
+0.114451
+0.112967
+0.111507
+0.110063
+0.108635
+0.107231
+0.105855
+0.104504
+0.103167
+0.101855
+0.100514
+0.0992007
+0.0979018
+0.0966352
+0.095402
+0.0942037
+0.0930415
+0.0919168
+0.0908311
+0.0895817
+0.0883344
+0.0871243
+0.085953
+0.0848201
+0.0837248
+0.0826731
+0.0816666
+0.080707
+0.0797961
+0.0789355
+0.0781268
+0.0773717
+0.0766718
+0.0760286
+0.0754395
+0.0749087
+0.0744387
+0.0740305
+0.0736851
+0.0734036
+0.0731866
+0.0730347
+0.0724876
+0.0714087
+0.0703815
+0.0694083
+0.0684913
+0.0676328
+0.0668241
+0.0660753
+0.0653914
+0.0647743
+0.0642261
+0.0637485
+0.0633431
+0.0630113
+0.0627542
+0.0625729
+0.0624678
+0.0624396
+0.0624881
+0.0626133
+0.0625214
+0.0623711
+0.0622958
+0.0622976
+0.0623707
+0.0625113
+0.0627282
+0.0630205
+0.0633872
+0.0638271
+0.0643385
+0.0649195
+0.0655551
+0.0662568
+0.0670227
+0.0678508
+0.0687388
+0.0696791
+0.0706669
+0.0717079
+0.0728
+0.073939
+0.0751169
+0.0763395
+0.0776047
+0.0789104
+0.0802547
+0.0816356
+0.0830514
+0.0845002
+0.0859805
+0.117821
+0.117616
+0.117452
+0.117328
+0.117246
+0.117204
+0.11666
+0.115163
+0.113689
+0.112238
+0.110811
+0.109399
+0.108006
+0.106639
+0.10529
+0.103963
+0.102665
+0.101349
+0.100048
+0.0987661
+0.0975107
+0.0962888
+0.0951016
+0.0939505
+0.0928369
+0.091762
+0.0907273
+0.0895532
+0.0883598
+0.0872051
+0.0860886
+0.0850097
+0.0839741
+0.0829834
+0.0820392
+0.0811432
+0.080297
+0.0795022
+0.0787603
+0.0780728
+0.0774402
+0.0768608
+0.0763399
+0.0758787
+0.0754783
+0.0751397
+0.0748636
+0.0746509
+0.0745019
+0.0740251
+0.072969
+0.0719641
+0.0710125
+0.0701165
+0.0692742
+0.0684821
+0.0677516
+0.0670848
+0.0664834
+0.0659494
+0.0654844
+0.0650898
+0.0647669
+0.0645169
+0.0643405
+0.0642383
+0.0642108
+0.0642581
+0.0640975
+0.0638884
+0.0637397
+0.0636661
+0.0636678
+0.0637366
+0.0638742
+0.0640865
+0.0643726
+0.0647317
+0.0651625
+0.0656635
+0.0662328
+0.066856
+0.0675442
+0.0682957
+0.0691085
+0.0699805
+0.0709072
+0.0718781
+0.0729018
+0.0739763
+0.0750994
+0.076267
+0.0774714
+0.0787184
+0.080006
+0.0813321
+0.0826951
+0.084093
+0.0855242
+0.0869871
+0.119224
+0.119021
+0.118859
+0.118737
+0.118655
+0.118614
+0.1174
+0.115913
+0.114448
+0.113007
+0.11159
+0.110198
+0.108819
+0.107456
+0.106115
+0.104798
+0.103511
+0.102224
+0.100934
+0.099669
+0.0984251
+0.0972146
+0.0960389
+0.0948992
+0.0937968
+0.0927331
+0.0917094
+0.0907045
+0.0896318
+0.0884937
+0.0873937
+0.0863311
+0.0853115
+0.0843365
+0.0834076
+0.0825265
+0.0816946
+0.0809135
+0.0801847
+0.0795095
+0.0788863
+0.0783176
+0.0778065
+0.077354
+0.0769613
+0.0766292
+0.0763585
+0.0761499
+0.076004
+0.0755949
+0.074561
+0.0735778
+0.0726474
+0.0717718
+0.0709425
+0.0701693
+0.0694565
+0.0688062
+0.06822
+0.0676997
+0.0672468
+0.0668626
+0.0665483
+0.066305
+0.0661334
+0.066034
+0.0660073
+0.0657818
+0.0655052
+0.0652988
+0.0651533
+0.0650813
+0.065083
+0.0651476
+0.0652822
+0.0654899
+0.0657699
+0.0661214
+0.0665432
+0.0670339
+0.0675917
+0.0682024
+0.0688772
+0.0696143
+0.0704119
+0.0712679
+0.0721803
+0.0731348
+0.0741412
+0.075198
+0.0763031
+0.0774543
+0.0786481
+0.0798767
+0.0811459
+0.0824537
+0.0837984
+0.0851783
+0.0865915
+0.0880366
+0.12065
+0.12045
+0.12029
+0.120169
+0.120088
+0.119676
+0.118176
+0.116699
+0.115244
+0.113812
+0.112406
+0.111024
+0.109661
+0.108308
+0.106978
+0.105672
+0.104396
+0.103138
+0.10186
+0.100611
+0.0993794
+0.0981807
+0.0970167
+0.0958886
+0.0947977
+0.0937453
+0.0927328
+0.091743
+0.090784
+0.0898172
+0.0887336
+0.0876873
+0.0866836
+0.0857242
+0.0848106
+0.0839442
+0.0831265
+0.082359
+0.0816431
+0.0809797
+0.0803661
+0.079808
+0.0793065
+0.0788626
+0.0784774
+0.0781518
+0.0778864
+0.0776819
+0.0775388
+0.0771949
+0.0761827
+0.0752207
+0.0743109
+0.0734512
+0.0726386
+0.0718836
+0.0711881
+0.0705537
+0.0699822
+0.0694751
+0.0690338
+0.0686596
+0.0683536
+0.0681167
+0.0679497
+0.067853
+0.0675662
+0.0672256
+0.066955
+0.0667513
+0.066609
+0.0665385
+0.0665401
+0.0666007
+0.0667324
+0.0669356
+0.0672096
+0.0675536
+0.0679665
+0.068447
+0.0689934
+0.0695918
+0.0702532
+0.070976
+0.0717585
+0.0725987
+0.0734946
+0.0744349
+0.0754239
+0.076463
+0.07755
+0.078683
+0.0798601
+0.0810777
+0.0823283
+0.0836177
+0.084944
+0.0863055
+0.0877006
+0.0891277
+0.122099
+0.121901
+0.121743
+0.121624
+0.121544
+0.120477
+0.118987
+0.11752
+0.116075
+0.114655
+0.113258
+0.111887
+0.11054
+0.109197
+0.107879
+0.106584
+0.105319
+0.104085
+0.102824
+0.10159
+0.100372
+0.0991857
+0.0980336
+0.0969174
+0.0958382
+0.0947974
+0.0937949
+0.0928216
+0.0918738
+0.0909689
+0.0901065
+0.0890767
+0.0880889
+0.0871449
+0.0862464
+0.0853945
+0.0845909
+0.0838367
+0.0831335
+0.0824802
+0.0818778
+0.0813301
+0.080838
+0.0804026
+0.0800248
+0.0797055
+0.0794453
+0.0792448
+0.0791046
+0.0788234
+0.0778323
+0.076891
+0.0760011
+0.0751546
+0.0743606
+0.0736232
+0.0729443
+0.0723253
+0.0717679
+0.0712735
+0.0708434
+0.0704788
+0.0701808
+0.0699501
+0.0697874
+0.0694431
+0.0690423
+0.0687089
+0.0684442
+0.0682431
+0.0681039
+0.068035
+0.0680348
+0.0680933
+0.0682221
+0.0684209
+0.068689
+0.0690256
+0.0694297
+0.0699002
+0.0704353
+0.0710216
+0.0716698
+0.0723785
+0.0731459
+0.0739703
+0.0748498
+0.0757759
+0.0767477
+0.0777691
+0.0788381
+0.0799529
+0.0811115
+0.0823122
+0.0835515
+0.0848223
+0.08613
+0.0874731
+0.0888498
+0.0902588
+0.0981868
+0.0964224
+0.0946757
+0.0929479
+0.09124
+0.0895531
+0.0878884
+0.0862472
+0.0846305
+0.0830382
+0.0814737
+0.0799387
+0.0784348
+0.0769639
+0.0755278
+0.0741287
+0.0727687
+0.07145
+0.0701646
+0.0689246
+0.0677328
+0.0665918
+0.0655042
+0.0644727
+0.0635001
+0.062589
+0.0617423
+0.0609626
+0.0602525
+0.0596144
+0.0590508
+0.0585637
+0.0581552
+0.0578268
+0.0575799
+0.0574157
+0.0573347
+0.0573373
+0.0574236
+0.0575932
+0.0578453
+0.0581678
+0.0585657
+0.0590421
+0.0595954
+0.0602233
+0.0609235
+0.0616936
+0.0625311
+0.0634331
+0.0643971
+0.0654202
+0.0664998
+0.0676332
+0.0688141
+0.0700355
+0.0713033
+0.0726151
+0.0739686
+0.0753614
+0.0767914
+0.0782567
+0.0797552
+0.0812851
+0.0828447
+0.0844324
+0.0860465
+0.0876857
+0.0893485
+0.0910323
+0.0927373
+0.0944624
+0.0962064
+0.0979684
+0.0997473
+0.101542
+0.103353
+0.105177
+0.106946
+0.108217
+0.109509
+0.110828
+0.112176
+0.113549
+0.114948
+0.116371
+0.117818
+0.119287
+0.12077
+0.122264
+0.123779
+0.125251
+0.125912
+0.126609
+0.127339
+0.128041
+0.128758
+0.129508
+0.130291
+0.131105
+0.0973286
+0.0955483
+0.0937854
+0.0920409
+0.0903158
+0.0886113
+0.0869285
+0.0852689
+0.0836333
+0.0820217
+0.0804374
+0.0788822
+0.0773578
+0.075866
+0.0744088
+0.0729882
+0.0716065
+0.070266
+0.068969
+0.0677086
+0.066495
+0.0653324
+0.0642235
+0.0631711
+0.0621781
+0.0612474
+0.0603818
+0.0595843
+0.0588575
+0.0582042
+0.0576268
+0.0571276
+0.0567087
+0.0563719
+0.0561186
+0.0559501
+0.055867
+0.0558697
+0.0559583
+0.0561322
+0.0563908
+0.056726
+0.0571339
+0.0576222
+0.0581889
+0.0588319
+0.0595485
+0.0603361
+0.0611921
+0.0621136
+0.0630978
+0.0641416
+0.0652424
+0.0663972
+0.0676033
+0.0688542
+0.0701434
+0.0714765
+0.072851
+0.0742648
+0.0757156
+0.0772012
+0.0787198
+0.0802695
+0.0818485
+0.0834551
+0.0850878
+0.086745
+0.0884255
+0.0901266
+0.0918485
+0.0935899
+0.0953499
+0.0971274
+0.0989214
+0.100731
+0.102556
+0.104019
+0.10528
+0.106571
+0.107883
+0.109222
+0.110589
+0.111982
+0.1134
+0.114842
+0.116306
+0.117775
+0.119266
+0.120764
+0.122283
+0.123822
+0.124871
+0.125492
+0.126147
+0.126837
+0.127561
+0.128319
+0.129109
+0.129844
+0.0965126
+0.0947169
+0.0929382
+0.0911775
+0.0894357
+0.0877141
+0.0860138
+0.0843362
+0.0826821
+0.0810516
+0.079448
+0.0778731
+0.0763285
+0.0748161
+0.0733381
+0.0718964
+0.0704933
+0.0691312
+0.0678124
+0.0665397
+0.0653069
+0.0641227
+0.0629925
+0.0619192
+0.0609058
+0.0599553
+0.0590708
+0.0582554
+0.0575118
+0.056843
+0.0562516
+0.0557401
+0.0553107
+0.0549653
+0.0547056
+0.0545326
+0.0544474
+0.0544502
+0.054541
+0.0547195
+0.0549848
+0.0553309
+0.055749
+0.0562493
+0.0568297
+0.0574878
+0.058221
+0.0590264
+0.0599011
+0.0608422
+0.0618465
+0.0629112
+0.0640331
+0.0652093
+0.066437
+0.0677133
+0.0690278
+0.0703844
+0.0717821
+0.0732174
+0.0746885
+0.0761942
+0.0777325
+0.0793014
+0.0808993
+0.0825244
+0.0841751
+0.08585
+0.0875477
+0.0892655
+0.0910037
+0.092761
+0.0945364
+0.0963289
+0.0981375
+0.0998848
+0.101102
+0.102353
+0.103634
+0.104945
+0.106277
+0.107637
+0.109023
+0.110436
+0.111874
+0.113321
+0.114783
+0.116257
+0.117752
+0.119269
+0.120807
+0.122365
+0.12366
+0.124286
+0.124948
+0.125645
+0.126376
+0.12714
+0.127861
+0.128576
+0.0957396
+0.0939292
+0.0921353
+0.090359
+0.0886011
+0.086863
+0.0851457
+0.0834506
+0.0817786
+0.0801297
+0.0785073
+0.0769131
+0.0753488
+0.0738164
+0.0723179
+0.0708555
+0.0694313
+0.0680479
+0.0667078
+0.0654136
+0.0641681
+0.062966
+0.0618147
+0.0607205
+0.0596868
+0.0587166
+0.0578132
+0.0569797
+0.0562193
+0.0555349
+0.0549294
+0.0544055
+0.0539655
+0.0536114
+0.0533451
+0.0531677
+0.0530802
+0.0530831
+0.0531763
+0.0533594
+0.0536314
+0.0539886
+0.054417
+0.0549295
+0.0555237
+0.0561971
+0.0569469
+0.0577701
+0.0586635
+0.0596241
+0.0606486
+0.061734
+0.0628769
+0.0640744
+0.0653234
+0.066621
+0.0679566
+0.0693341
+0.0707527
+0.0722098
+0.0737033
+0.0752309
+0.0767906
+0.0783805
+0.0799988
+0.0816419
+0.0833101
+0.0850015
+0.0867144
+0.0884484
+0.0902023
+0.0919749
+0.0937652
+0.0955722
+0.0969921
+0.0981968
+0.0994352
+0.100706
+0.102008
+0.10334
+0.104693
+0.106073
+0.10748
+0.108904
+0.110336
+0.111782
+0.113252
+0.114745
+0.11626
+0.117797
+0.119354
+0.12093
+0.122469
+0.123102
+0.12377
+0.124473
+0.125211
+0.125924
+0.126611
+0.127333
+0.095011
+0.0931864
+0.0913779
+0.0895865
+0.0878132
+0.0860592
+0.0843255
+0.0826136
+0.0809243
+0.0792577
+0.077617
+0.0760041
+0.0744207
+0.0728688
+0.0713504
+0.0698677
+0.0684231
+0.0670189
+0.0656577
+0.0643424
+0.0630758
+0.0618608
+0.0606931
+0.0595783
+0.0585244
+0.0575346
+0.0566123
+0.0557609
+0.0549837
+0.0542837
+0.0536641
+0.0531277
+0.052677
+0.0523143
+0.0520413
+0.0518594
+0.0517698
+0.0517727
+0.0518683
+0.0520559
+0.0523347
+0.0527031
+0.053142
+0.0536667
+0.0542747
+0.0549634
+0.0557298
+0.0565707
+0.0574828
+0.0584628
+0.0595073
+0.0606131
+0.0617767
+0.0629951
+0.0642651
+0.0655837
+0.06694
+0.068338
+0.0697768
+0.0712539
+0.072767
+0.0743138
+0.0758924
+0.0775008
+0.0791371
+0.0807996
+0.0824869
+0.0841973
+0.0859281
+0.0876776
+0.0894466
+0.0912339
+0.0929581
+0.0941125
+0.0953032
+0.096529
+0.0977885
+0.0990804
+0.100404
+0.10175
+0.103124
+0.104526
+0.105929
+0.107345
+0.108787
+0.110253
+0.111744
+0.113256
+0.114791
+0.116347
+0.117923
+0.119518
+0.121132
+0.121944
+0.122618
+0.123328
+0.124029
+0.124689
+0.125383
+0.126112
+0.0943276
+0.0924895
+0.0906671
+0.0888614
+0.0870733
+0.0853041
+0.0835548
+0.0818267
+0.0801209
+0.0784371
+0.0767789
+0.075148
+0.0735462
+0.0719755
+0.0704378
+0.0689355
+0.0674709
+0.0660464
+0.0646648
+0.0633289
+0.0620416
+0.060806
+0.0596252
+0.0584959
+0.0574221
+0.056413
+0.0554721
+0.0546029
+0.0538089
+0.0530935
+0.0524598
+0.051911
+0.0514496
+0.0510781
+0.0507985
+0.0506122
+0.0505203
+0.0505233
+0.0506213
+0.0508135
+0.0510991
+0.0514763
+0.0519282
+0.052465
+0.0530868
+0.0537907
+0.0545736
+0.055432
+0.0563625
+0.0573616
+0.0584259
+0.0595517
+0.0607357
+0.0619746
+0.063265
+0.064604
+0.0659805
+0.0673984
+0.0688569
+0.0703533
+0.0718853
+0.0734507
+0.0750475
+0.0766735
+0.0783271
+0.0800065
+0.0817101
+0.0834365
+0.0851842
+0.086952
+0.0887355
+0.0901094
+0.0912472
+0.0924229
+0.0936334
+0.094872
+0.0961446
+0.0974497
+0.0987863
+0.100153
+0.101548
+0.10295
+0.104361
+0.105798
+0.10726
+0.108747
+0.110258
+0.11179
+0.113345
+0.11492
+0.116516
+0.11813
+0.119762
+0.120814
+0.121495
+0.122183
+0.122813
+0.123479
+0.12418
+0.124916
+0.0936904
+0.0918396
+0.0900041
+0.0881848
+0.0863827
+0.084599
+0.0828348
+0.0810914
+0.0793697
+0.0776697
+0.0759948
+0.0743467
+0.0727272
+0.0711384
+0.0695822
+0.068061
+0.0665772
+0.0651332
+0.0637318
+0.0623759
+0.0610685
+0.0598128
+0.058612
+0.0574698
+0.0563834
+0.0553554
+0.0543962
+0.0535095
+0.052699
+0.0519683
+0.0513208
+0.0507596
+0.0502877
+0.0499076
+0.0496213
+0.0494306
+0.0493365
+0.0493396
+0.0494399
+0.0496367
+0.049929
+0.050315
+0.0507799
+0.0513287
+0.0519641
+0.052683
+0.0534821
+0.0543577
+0.0553063
+0.0563242
+0.0574077
+0.0585531
+0.0597569
+0.0610156
+0.0623259
+0.0636847
+0.0650806
+0.0665177
+0.067995
+0.06951
+0.0710602
+0.0726434
+0.0742575
+0.0759005
+0.0775706
+0.079266
+0.0809852
+0.0827267
+0.0844891
+0.0861623
+0.0872412
+0.0883613
+0.089521
+0.0907188
+0.0919474
+0.0932084
+0.0945033
+0.0958309
+0.0971896
+0.0985784
+0.0999782
+0.101383
+0.102815
+0.104273
+0.105756
+0.107264
+0.108795
+0.110349
+0.111923
+0.113518
+0.115133
+0.116766
+0.118418
+0.119714
+0.120387
+0.120988
+0.121624
+0.122297
+0.123005
+0.123748
+0.0931004
+0.0912377
+0.0893898
+0.0875577
+0.0857425
+0.0839451
+0.0821669
+0.080409
+0.0786724
+0.076957
+0.0752662
+0.0736018
+0.0719656
+0.0703596
+0.0687858
+0.0672466
+0.0657444
+0.0642817
+0.0628613
+0.0614862
+0.0601595
+0.0588843
+0.0576643
+0.0565029
+0.0554037
+0.0543655
+0.0533885
+0.0524848
+0.0516583
+0.0509126
+0.0502515
+0.0496783
+0.049196
+0.0488074
+0.0485146
+0.0483195
+0.0482233
+0.0482264
+0.048329
+0.0485304
+0.0488292
+0.0492239
+0.0497016
+0.0502622
+0.0509109
+0.0516445
+0.0524594
+0.0533518
+0.054318
+0.0553541
+0.0564562
+0.0576205
+0.0588434
+0.0601212
+0.0614506
+0.0628283
+0.0642428
+0.0656983
+0.0671936
+0.0687263
+0.0702938
+0.0718938
+0.0735244
+0.0751834
+0.0768691
+0.0785796
+0.0803135
+0.0820693
+0.0833263
+0.0843863
+0.0854876
+0.0866304
+0.0878129
+0.0890337
+0.090283
+0.0915669
+0.0928847
+0.0942351
+0.0956166
+0.0970141
+0.0984121
+0.0998386
+0.101292
+0.102772
+0.104277
+0.105806
+0.107358
+0.108932
+0.110526
+0.112141
+0.113776
+0.115428
+0.117098
+0.118601
+0.119215
+0.119821
+0.120464
+0.121143
+0.121857
+0.122607
+0.0925586
+0.0906847
+0.0888253
+0.0869813
+0.0851538
+0.0833438
+0.0815524
+0.079781
+0.0780305
+0.0763006
+0.0745949
+0.0729152
+0.0712632
+0.069641
+0.0680506
+0.0664944
+0.0649748
+0.0634943
+0.062056
+0.0606626
+0.0593174
+0.0580238
+0.0567853
+0.0556055
+0.0544883
+0.0534375
+0.0524466
+0.0515264
+0.0506842
+0.049924
+0.0492496
+0.0486646
+0.0481721
+0.0477752
+0.0474761
+0.0472767
+0.0471783
+0.0471816
+0.0472864
+0.0474922
+0.0477975
+0.0482007
+0.0486889
+0.049261
+0.0499227
+0.0506706
+0.0515009
+0.0524097
+0.0533929
+0.0544466
+0.0555667
+0.0567492
+0.0579905
+0.0592867
+0.0606344
+0.0620302
+0.0634695
+0.0649424
+0.0664548
+0.0680041
+0.0695878
+0.0712038
+0.0728498
+0.0745238
+0.0762241
+0.0779488
+0.079501
+0.080502
+0.0815474
+0.0826286
+0.083753
+0.0849191
+0.0861252
+0.0873689
+0.0886415
+0.0899489
+0.0912901
+0.0926636
+0.094056
+0.0954497
+0.0968702
+0.0983191
+0.099795
+0.101297
+0.102823
+0.104373
+0.105946
+0.107541
+0.109156
+0.110791
+0.112445
+0.114116
+0.115806
+0.117487
+0.118071
+0.118683
+0.119332
+0.120017
+0.120739
+0.121495
+0.0920657
+0.0901815
+0.0883115
+0.0864566
+0.0846177
+0.082796
+0.0809925
+0.0792086
+0.0774451
+0.0757019
+0.0739824
+0.0722885
+0.0706218
+0.0689845
+0.0673787
+0.0658065
+0.0642706
+0.0627736
+0.0613183
+0.0599078
+0.0585453
+0.0572343
+0.0559783
+0.0547811
+0.0536467
+0.0525791
+0.0515717
+0.0506356
+0.0497783
+0.0490041
+0.0483169
+0.0477204
+0.0472181
+0.0468131
+0.0465078
+0.0463042
+0.0462038
+0.0462071
+0.0463141
+0.0465242
+0.0468359
+0.0472472
+0.0477529
+0.0483361
+0.0490103
+0.0497719
+0.050617
+0.0515413
+0.0525408
+0.0536112
+0.0547484
+0.0559483
+0.0572069
+0.0585205
+0.0598854
+0.0612983
+0.0627559
+0.0642524
+0.0657806
+0.0673454
+0.0689443
+0.070575
+0.0722354
+0.0739233
+0.075637
+0.0767235
+0.0776985
+0.0787224
+0.0797866
+0.0808913
+0.0820396
+0.0832297
+0.0844599
+0.0857277
+0.0870242
+0.0883555
+0.0897205
+0.0911028
+0.0924961
+0.0939102
+0.0953537
+0.0968253
+0.0983236
+0.0998475
+0.101396
+0.102968
+0.104562
+0.106177
+0.107812
+0.109467
+0.111141
+0.112832
+0.11454
+0.116264
+0.116957
+0.117575
+0.11823
+0.118922
+0.11965
+0.120413
+0.0916162
+0.0897289
+0.0878494
+0.0859845
+0.0841353
+0.0823029
+0.0804884
+0.0786931
+0.0769178
+0.0751623
+0.0734302
+0.0717232
+0.0700431
+0.068392
+0.0667718
+0.0651851
+0.0636342
+0.0621218
+0.0606509
+0.0592245
+0.0578459
+0.0565186
+0.0552463
+0.054033
+0.0528825
+0.0517992
+0.0507763
+0.0498253
+0.0489538
+0.0481664
+0.047467
+0.0468597
+0.0463481
+0.0459354
+0.0456242
+0.0454167
+0.0453143
+0.0453177
+0.0454268
+0.0456409
+0.0459586
+0.0463777
+0.0468955
+0.0474943
+0.0481803
+0.0489548
+0.0498137
+0.0507527
+0.0517674
+0.0528535
+0.0540066
+0.0552226
+0.0564974
+0.0578272
+0.0592081
+0.0606367
+0.0621098
+0.0636242
+0.0651732
+0.0667522
+0.068365
+0.0700092
+0.0716826
+0.0730285
+0.07396
+0.0749182
+0.0759164
+0.0769639
+0.0780476
+0.0791765
+0.0803493
+0.0815641
+0.082819
+0.0841115
+0.0854325
+0.0867882
+0.0881594
+0.0895523
+0.0909595
+0.0923971
+0.0938639
+0.0953584
+0.0968795
+0.0984257
+0.0999961
+0.101589
+0.103205
+0.104841
+0.106497
+0.108172
+0.109865
+0.111576
+0.113303
+0.115046
+0.115874
+0.116497
+0.117158
+0.117856
+0.118591
+0.119361
+0.0912133
+0.0893175
+0.0874355
+0.085566
+0.0837075
+0.0818655
+0.0800411
+0.0782355
+0.0764496
+0.0746831
+0.0729396
+0.0712209
+0.0695286
+0.067865
+0.0662319
+0.0646319
+0.0630674
+0.0615412
+0.060056
+0.0586151
+0.0572219
+0.0558798
+0.0545926
+0.0533644
+0.0521992
+0.0511014
+0.0500642
+0.0490994
+0.0482148
+0.0474151
+0.0467045
+0.0460871
+0.0455669
+0.045147
+0.0448304
+0.0446192
+0.0445149
+0.0445183
+0.0446294
+0.0448474
+0.0451707
+0.045597
+0.0461236
+0.0467401
+0.047437
+0.0482235
+0.0490952
+0.0500476
+0.0510764
+0.0521768
+0.0533446
+0.0545753
+0.0558649
+0.0572093
+0.0586048
+0.0600478
+0.061535
+0.0630632
+0.0646293
+0.0662262
+0.0678515
+0.0694818
+0.070324
+0.0712235
+0.0721638
+0.073134
+0.0741561
+0.075224
+0.0763318
+0.0774857
+0.0786837
+0.0799238
+0.0812041
+0.0825219
+0.0838654
+0.0852271
+0.0866193
+0.0880188
+0.0894501
+0.0909116
+0.092402
+0.0939198
+0.0954637
+0.0970326
+0.0986251
+0.10024
+0.101877
+0.103534
+0.105211
+0.106906
+0.108619
+0.110349
+0.112084
+0.113825
+0.114822
+0.115451
+0.116118
+0.116823
+0.117564
+0.118338
+0.0908614
+0.0889581
+0.0870684
+0.0851931
+0.0833331
+0.0814847
+0.0796515
+0.0778369
+0.0760416
+0.0742654
+0.0725119
+0.0707828
+0.0690798
+0.0674051
+0.0657606
+0.0641489
+0.0625723
+0.0610336
+0.0595358
+0.0580821
+0.0566757
+0.0553203
+0.0540198
+0.0527783
+0.0515999
+0.050489
+0.049439
+0.0484617
+0.0475653
+0.0467545
+0.0460337
+0.0454072
+0.0448791
+0.0444527
+0.0441311
+0.0439165
+0.0438106
+0.0438141
+0.043927
+0.0441484
+0.0444767
+0.0449097
+0.0454442
+0.0460768
+0.0467846
+0.0475818
+0.0484651
+0.0494297
+0.050471
+0.0515844
+0.0527653
+0.0540092
+0.055312
+0.0566695
+0.058078
+0.0595334
+0.0610311
+0.0625697
+0.0641463
+0.065758
+0.0668462
+0.0676532
+0.0685178
+0.0694215
+0.0703611
+0.0713556
+0.0724028
+0.0735003
+0.0746409
+0.0758206
+0.0770444
+0.0783105
+0.0796167
+0.0809554
+0.082305
+0.0836869
+0.0850893
+0.0865136
+0.0879693
+0.0894551
+0.0909693
+0.0925106
+0.0940777
+0.0956693
+0.0972841
+0.0989211
+0.100579
+0.102257
+0.103955
+0.105669
+0.107381
+0.10911
+0.110855
+0.112616
+0.113803
+0.114438
+0.115111
+0.115821
+0.116566
+0.117287
+0.0905612
+0.0886515
+0.086755
+0.0848728
+0.0830057
+0.0811547
+0.0793206
+0.0774982
+0.0756949
+0.0739104
+0.0721482
+0.0704102
+0.068698
+0.0670137
+0.0653594
+0.0637375
+0.0621505
+0.0606011
+0.0590923
+0.0576274
+0.0562096
+0.0548428
+0.0535307
+0.0522775
+0.0510875
+0.0499653
+0.0489041
+0.0479159
+0.0470091
+0.0461884
+0.0454586
+0.0448242
+0.044289
+0.0438569
+0.0435309
+0.0433134
+0.043206
+0.0432095
+0.043324
+0.0435485
+0.0438813
+0.0443201
+0.0448616
+0.0455023
+0.0462244
+0.0470312
+0.0479246
+0.0488998
+0.0499522
+0.0510769
+0.0522693
+0.0535247
+0.054839
+0.0562073
+0.057625
+0.0590899
+0.0605986
+0.0621479
+0.0635383
+0.0642488
+0.0650204
+0.0658467
+0.0667094
+0.0676157
+0.06858
+0.0696
+0.0706732
+0.0717972
+0.0729697
+0.0741827
+0.0754332
+0.0767258
+0.0780582
+0.0793932
+0.0807656
+0.0821707
+0.0835888
+0.0850381
+0.0865187
+0.088029
+0.0895673
+0.0911323
+0.0927227
+0.0943371
+0.0959744
+0.0976334
+0.0993112
+0.101001
+0.102697
+0.104412
+0.106144
+0.107892
+0.109657
+0.111437
+0.112722
+0.113458
+0.114136
+0.11485
+0.115478
+0.116099
+0.0903131
+0.088398
+0.086496
+0.084608
+0.0827349
+0.0808778
+0.0790378
+0.0772103
+0.0754002
+0.0736108
+0.0718436
+0.0701004
+0.0683829
+0.066692
+0.0650295
+0.0633992
+0.0618035
+0.0602452
+0.0587273
+0.057253
+0.0558257
+0.0544492
+0.0531274
+0.0518645
+0.0506648
+0.049533
+0.0484623
+0.0474649
+0.0465493
+0.0457204
+0.0449831
+0.0443418
+0.0438008
+0.0433638
+0.043034
+0.042814
+0.0427053
+0.0427089
+0.0428247
+0.0430518
+0.0433884
+0.0438321
+0.0443796
+0.0450272
+0.0457568
+0.0465717
+0.0474737
+0.048458
+0.0495198
+0.0506541
+0.0518562
+0.0531214
+0.0544454
+0.0558234
+0.0572506
+0.0587248
+0.0602427
+0.061036
+0.0616976
+0.062429
+0.0632145
+0.0640323
+0.0649021
+0.0658333
+0.0668234
+0.0678698
+0.0689699
+0.0701212
+0.0713212
+0.0725592
+0.0738403
+0.0751633
+0.0764961
+0.0778524
+0.0792404
+0.0806642
+0.0821192
+0.0835941
+0.0850998
+0.0866348
+0.0881974
+0.089786
+0.0913929
+0.0930236
+0.0946769
+0.0963517
+0.0980341
+0.0997325
+0.10145
+0.103185
+0.104937
+0.106706
+0.108489
+0.110288
+0.111612
+0.112416
+0.113176
+0.113725
+0.114313
+0.114941
+0.0901176
+0.0881983
+0.0862919
+0.0843993
+0.0825215
+0.0806595
+0.0788143
+0.0769815
+0.0751659
+0.0733708
+0.0715977
+0.0698484
+0.0681245
+0.0664282
+0.0647615
+0.0631269
+0.0615268
+0.0599641
+0.0584418
+0.0569604
+0.0555256
+0.0541415
+0.052812
+0.0515413
+0.050334
+0.0491946
+0.0481163
+0.0471116
+0.046189
+0.0453535
+0.0446101
+0.0439634
+0.0434176
+0.0429768
+0.042644
+0.042422
+0.0423123
+0.0423159
+0.0424328
+0.0426619
+0.0430017
+0.0434493
+0.0440016
+0.0446546
+0.0453902
+0.0462115
+0.0471205
+0.048112
+0.0491813
+0.0503232
+0.051533
+0.052806
+0.0541377
+0.0555233
+0.056958
+0.0580531
+0.0585908
+0.0591986
+0.0598805
+0.0606129
+0.0613901
+0.0622243
+0.0631191
+0.0640762
+0.065093
+0.0661668
+0.0672947
+0.0684716
+0.06969
+0.0709552
+0.0722647
+0.0736045
+0.0749432
+0.0763213
+0.0777368
+0.0791875
+0.0806717
+0.0821768
+0.0837005
+0.0852532
+0.0868334
+0.0884397
+0.0900706
+0.0917248
+0.0933951
+0.0950754
+0.0967762
+0.0984963
+0.100235
+0.101991
+0.103763
+0.105551
+0.107354
+0.109171
+0.11048
+0.111317
+0.11203
+0.112585
+0.113179
+0.113813
+0.089975
+0.0880526
+0.086143
+0.0842471
+0.0823658
+0.0805002
+0.0786513
+0.0768146
+0.074995
+0.0731957
+0.0714182
+0.0696643
+0.0679358
+0.0662346
+0.064563
+0.0629232
+0.0613178
+0.0597497
+0.0582217
+0.0567372
+0.0552996
+0.0539128
+0.0525807
+0.0513075
+0.0500968
+0.0489519
+0.0478682
+0.0468582
+0.0459305
+0.0450902
+0.0443424
+0.0436917
+0.0431425
+0.0426988
+0.0423639
+0.0421403
+0.0420299
+0.0420336
+0.0421512
+0.0423819
+0.0427238
+0.0431743
+0.0437301
+0.0443871
+0.0451271
+0.0459531
+0.0468671
+0.0478639
+0.0489385
+0.050086
+0.0513014
+0.05258
+0.0539173
+0.0553084
+0.0557303
+0.0562099
+0.0567588
+0.057386
+0.0580593
+0.0587887
+0.0595874
+0.0604417
+0.0613624
+0.0623466
+0.0633911
+0.0644932
+0.065643
+0.0668413
+0.0680889
+0.0693833
+0.0707219
+0.0720498
+0.0734169
+0.0748231
+0.0762664
+0.0777445
+0.0792436
+0.0807631
+0.082313
+0.0838914
+0.0854968
+0.0871277
+0.0887827
+0.0904439
+0.092126
+0.093829
+0.0955519
+0.0972937
+0.0990532
+0.10083
+0.102622
+0.10443
+0.106252
+0.108088
+0.109375
+0.110221
+0.110913
+0.111475
+0.112076
+0.112716
+0.0898857
+0.0879613
+0.0860497
+0.0841516
+0.0822682
+0.0804003
+0.078549
+0.0767099
+0.0748877
+0.0730858
+0.0713056
+0.0695489
+0.0678174
+0.0661132
+0.0644384
+0.0627953
+0.0611866
+0.059615
+0.0580835
+0.0565953
+0.0551541
+0.0537635
+0.0524276
+0.0511506
+0.0499371
+0.0487919
+0.0477195
+0.0467062
+0.0457754
+0.0449323
+0.0441818
+0.0435287
+0.0429774
+0.042532
+0.0421957
+0.0419713
+0.0418604
+0.0418641
+0.0419822
+0.0422138
+0.0425571
+0.0430094
+0.0435672
+0.0442267
+0.0449693
+0.0457982
+0.0467151
+0.0477151
+0.0487931
+0.0499439
+0.0511626
+0.0524446
+0.0531575
+0.0534862
+0.053902
+0.054386
+0.054953
+0.0555568
+0.0562337
+0.0569868
+0.0578065
+0.0586868
+0.0596346
+0.0606467
+0.0617195
+0.0628399
+0.0640156
+0.0652438
+0.0665214
+0.0678457
+0.0691742
+0.0705289
+0.0719249
+0.0733598
+0.0748312
+0.0763205
+0.0778354
+0.079382
+0.0809582
+0.0825626
+0.0841933
+0.0858421
+0.0875029
+0.0891866
+0.0908919
+0.0926176
+0.0943627
+0.096126
+0.0979065
+0.0997034
+0.101516
+0.103343
+0.105184
+0.107038
+0.108295
+0.109149
+0.109814
+0.110382
+0.11099
+0.111633
+0.0898445
+0.0879194
+0.0860071
+0.0841084
+0.0822241
+0.0803554
+0.0785034
+0.0766677
+0.0748445
+0.0730414
+0.0712602
+0.0695023
+0.0677696
+0.0660642
+0.0643881
+0.0627437
+0.0611337
+0.0595606
+0.0580277
+0.0565381
+0.0550953
+0.0537032
+0.0523658
+0.0510872
+0.0498722
+0.0487255
+0.0476519
+0.0466565
+0.0457249
+0.0448808
+0.0441294
+0.0434756
+0.0429236
+0.0424776
+0.042141
+0.0419162
+0.0418052
+0.0418089
+0.0419272
+0.0421591
+0.0425028
+0.0429556
+0.0435142
+0.0441744
+0.0449179
+0.0457477
+0.0466657
+0.0476667
+0.0487457
+0.0498976
+0.0508207
+0.0510237
+0.0512907
+0.0516493
+0.052077
+0.0525423
+0.0530939
+0.0537292
+0.0544306
+0.0552072
+0.0560432
+0.0569513
+0.057928
+0.0589699
+0.0600658
+0.0612164
+0.0624227
+0.0636816
+0.0649585
+0.0662788
+0.0676394
+0.0690427
+0.0704695
+0.0719333
+0.0734082
+0.074918
+0.0764608
+0.0780346
+0.0796375
+0.0812679
+0.0829114
+0.0845731
+0.0862583
+0.0879658
+0.0896944
+0.0914427
+0.0932098
+0.0949944
+0.0967958
+0.0986129
+0.100445
+0.102291
+0.104151
+0.105967
+0.107249
+0.108112
+0.108748
+0.109322
+0.10993
+0.110576
+0.0898515
+0.0879267
+0.0860145
+0.0841159
+0.0822318
+0.0803633
+0.0785115
+0.0766775
+0.0748627
+0.0730628
+0.0712821
+0.0695247
+0.0677926
+0.0660878
+0.0644123
+0.0627686
+0.0611592
+0.0595868
+0.0580546
+0.0565657
+0.0551236
+0.0537323
+0.0523955
+0.0511178
+0.0499035
+0.0487575
+0.0476846
+0.0466899
+0.0457785
+0.044936
+0.0441855
+0.0435325
+0.0429813
+0.0425359
+0.0421997
+0.0419753
+0.0418644
+0.0418681
+0.0419862
+0.0422178
+0.042561
+0.0430132
+0.043571
+0.0442304
+0.0449733
+0.0458021
+0.046719
+0.0477189
+0.0487967
+0.0488361
+0.0489549
+0.0491459
+0.049423
+0.0497951
+0.0502018
+0.0506843
+0.0512559
+0.0519137
+0.0526546
+0.0534415
+0.0543047
+0.0552413
+0.0562477
+0.0573202
+0.0584473
+0.0596292
+0.0608336
+0.0620912
+0.063397
+0.064744
+0.0661362
+0.0675708
+0.0690447
+0.0705118
+0.0720157
+0.0735541
+0.0751249
+0.0767261
+0.0783558
+0.0799934
+0.0816557
+0.0833423
+0.085052
+0.0867832
+0.0885349
+0.0903057
+0.0920945
+0.0939004
+0.0957224
+0.0975595
+0.0994109
+0.101229
+0.103039
+0.104863
+0.106238
+0.107074
+0.107716
+0.108289
+0.108901
+0.109553
+0.089912
+0.0879884
+0.0860776
+0.0841805
+0.0822979
+0.0804309
+0.0785806
+0.0767483
+0.0749352
+0.0731428
+0.0713712
+0.0696161
+0.0678864
+0.0661839
+0.064511
+0.0628698
+0.0612631
+0.0596935
+0.058164
+0.056678
+0.0552389
+0.0538505
+0.0525168
+0.051242
+0.0500308
+0.0488877
+0.0478178
+0.046826
+0.0459172
+0.0450781
+0.04433
+0.0436791
+0.0431298
+0.042686
+0.0423509
+0.0421273
+0.0420169
+0.0420205
+0.0421382
+0.042369
+0.042711
+0.0431616
+0.0437175
+0.0443748
+0.0451288
+0.0459609
+0.0468747
+0.0470473
+0.046969
+0.0469928
+0.0471043
+0.047295
+0.047583
+0.0479326
+0.0483531
+0.0488539
+0.0494467
+0.0501282
+0.0508951
+0.0517083
+0.0525999
+0.0535664
+0.0546036
+0.0557065
+0.0568318
+0.0580107
+0.0592472
+0.0605365
+0.0618683
+0.0632479
+0.0646723
+0.0661386
+0.0676333
+0.0691304
+0.0706637
+0.0722309
+0.0738299
+0.0754539
+0.0770895
+0.0787521
+0.0804399
+0.0821516
+0.0838855
+0.0856403
+0.0874149
+0.0892079
+0.0910183
+0.0928452
+0.0946688
+0.0964921
+0.0983061
+0.100121
+0.101951
+0.103794
+0.105156
+0.105966
+0.106667
+0.107286
+0.107886
+0.108519
+0.0900257
+0.0881046
+0.0861964
+0.0843019
+0.0824221
+0.080558
+0.0787107
+0.0768815
+0.0750716
+0.0732826
+0.0715158
+0.0697732
+0.0680506
+0.0663523
+0.0646837
+0.0630471
+0.0614449
+0.0598801
+0.0583556
+0.0568745
+0.0554405
+0.0540573
+0.0527288
+0.0514593
+0.0502533
+0.0491155
+0.0480506
+0.0470637
+0.0461596
+0.0453249
+0.044581
+0.0439338
+0.0433877
+0.0429466
+0.0426136
+0.0423914
+0.0422816
+0.0422852
+0.0424022
+0.0426315
+0.0429715
+0.0434194
+0.0439721
+0.0446255
+0.0453754
+0.0456884
+0.0454158
+0.0452371
+0.0451557
+0.0451734
+0.0452792
+0.0454744
+0.0457562
+0.0460963
+0.0465342
+0.0470543
+0.0476694
+0.0483761
+0.04917
+0.0500109
+0.0509264
+0.0519076
+0.0529613
+0.0540611
+0.0552124
+0.0564254
+0.057696
+0.0590151
+0.0603804
+0.0617932
+0.0632504
+0.0647489
+0.0662643
+0.0677917
+0.0693546
+0.0709507
+0.0725667
+0.0742012
+0.0758639
+0.0775527
+0.0792662
+0.0810026
+0.0827606
+0.0845388
+0.086336
+0.0881264
+0.0899222
+0.0917352
+0.0935644
+0.0953945
+0.0972143
+0.0990492
+0.100898
+0.102761
+0.104038
+0.104893
+0.1056
+0.106191
+0.106803
+0.107445
+0.0901925
+0.0882751
+0.0863706
+0.08448
+0.0826043
+0.0807444
+0.0789015
+0.0770768
+0.0752716
+0.0734874
+0.0717257
+0.0699883
+0.0682769
+0.0665924
+0.06493
+0.0632997
+0.0617041
+0.060146
+0.0586284
+0.0571544
+0.0557276
+0.0543517
+0.0530306
+0.0517685
+0.0505699
+0.0494393
+0.0483816
+0.0474015
+0.046504
+0.0456756
+0.0449375
+0.0442956
+0.043754
+0.0433166
+0.0429864
+0.0427662
+0.0426574
+0.0426609
+0.0427769
+0.0430042
+0.0433412
+0.0437854
+0.0443335
+0.0447976
+0.0443219
+0.0439317
+0.0436481
+0.0434534
+0.0433609
+0.0433761
+0.0434788
+0.0436608
+0.0439382
+0.0442922
+0.0447485
+0.0452891
+0.0459279
+0.0466534
+0.0474375
+0.0483069
+0.049243
+0.0502571
+0.0513233
+0.0524432
+0.0536293
+0.0548773
+0.056183
+0.0575368
+0.0589364
+0.060383
+0.0618688
+0.06338
+0.0649301
+0.0664982
+0.0680908
+0.0696976
+0.0713306
+0.0729929
+0.0746824
+0.0763974
+0.0781361
+0.0798972
+0.0816476
+0.0834103
+0.0851929
+0.0869941
+0.0888128
+0.090648
+0.0924951
+0.09432
+0.0961601
+0.0980147
+0.0998829
+0.101764
+0.102954
+0.103843
+0.10453
+0.105117
+0.105747
+0.106404
+0.0904121
+0.0884994
+0.0865999
+0.0847144
+0.082844
+0.0809896
+0.0791524
+0.0773336
+0.0755346
+0.0737567
+0.0720016
+0.070271
+0.0685667
+0.0668907
+0.0652452
+0.0636267
+0.0620396
+0.0604901
+0.0589814
+0.0575165
+0.0560989
+0.0547323
+0.0534206
+0.0521679
+0.0509787
+0.0498574
+0.0488087
+0.0478374
+0.0469482
+0.0461278
+0.0453971
+0.0447617
+0.0442258
+0.0437931
+0.0434666
+0.0432488
+0.0431412
+0.0431448
+0.0432594
+0.0434842
+0.0438175
+0.0442569
+0.0436862
+0.0431254
+0.0426216
+0.0421997
+0.0418838
+0.0416761
+0.0415766
+0.0415925
+0.0416767
+0.0418666
+0.0421556
+0.0425245
+0.0430003
+0.0435626
+0.0441972
+0.0449173
+0.0457311
+0.046632
+0.0476009
+0.0486287
+0.0497128
+0.0508683
+0.0520902
+0.0533742
+0.0547157
+0.0561051
+0.0575389
+0.0590047
+0.0605082
+0.0620526
+0.063635
+0.0652508
+0.0668489
+0.0684798
+0.0701412
+0.071831
+0.0735472
+0.0752487
+0.0769709
+0.0787165
+0.0804837
+0.0822714
+0.0840781
+0.0859027
+0.0877441
+0.0896012
+0.0914389
+0.0932845
+0.0951447
+0.0970187
+0.0989038
+0.100798
+0.101879
+0.102769
+0.103485
+0.104078
+0.104715
+0.105392
+0.0906841
+0.0887773
+0.0868838
+0.0850047
+0.0831408
+0.0812931
+0.079463
+0.0776515
+0.07586
+0.0740899
+0.0723429
+0.0706206
+0.068925
+0.0672579
+0.0656217
+0.0640185
+0.0624502
+0.0609111
+0.0594131
+0.0579591
+0.0565526
+0.0551972
+0.0538969
+0.0526555
+0.0514776
+0.0503674
+0.0493295
+0.0483687
+0.0474894
+0.0466786
+0.0459566
+0.0453291
+0.0448
+0.0443729
+0.0440507
+0.0438357
+0.0437296
+0.0437331
+0.0438462
+0.044068
+0.0434312
+0.0426871
+0.0420079
+0.0414336
+0.0409264
+0.0404822
+0.0401527
+0.0399366
+0.0398328
+0.0398236
+0.0399022
+0.0401005
+0.0403908
+0.0407542
+0.041231
+0.0418126
+0.0424736
+0.0432224
+0.0440675
+0.0450013
+0.045985
+0.047028
+0.0481482
+0.0493403
+0.0505992
+0.05192
+0.0532972
+0.0547121
+0.0561655
+0.0576597
+0.0591974
+0.0607751
+0.0623787
+0.0639697
+0.0655952
+0.0672528
+0.0689402
+0.0706223
+0.0723237
+0.0740492
+0.0757986
+0.0775706
+0.0793634
+0.0811757
+0.0830063
+0.0848539
+0.0867176
+0.0885726
+0.0904236
+0.0922894
+0.0941676
+0.0960557
+0.0979564
+0.099869
+0.100831
+0.10173
+0.102456
+0.103055
+0.10366
+0.1043
+0.0910081
+0.0891082
+0.0872219
+0.0853502
+0.083494
+0.0816543
+0.0798324
+0.0780295
+0.0762469
+0.074486
+0.0727486
+0.0710361
+0.0693506
+0.067694
+0.0660686
+0.0644766
+0.0629206
+0.0614033
+0.0599192
+0.0584782
+0.057085
+0.055743
+0.0544561
+0.0532283
+0.0520637
+0.0509665
+0.0499411
+0.0489922
+0.0481244
+0.0473244
+0.0466124
+0.0459938
+0.0454725
+0.0450518
+0.0447344
+0.0445228
+0.0444183
+0.0444218
+0.0436541
+0.0427122
+0.0418487
+0.041084
+0.0403788
+0.039781
+0.0392754
+0.0388123
+0.0384686
+0.0382436
+0.0381032
+0.0380576
+0.038138
+0.0383308
+0.0386016
+0.0389817
+0.0394799
+0.040083
+0.0407922
+0.0415739
+0.0424519
+0.0433967
+0.0443971
+0.0454766
+0.0466341
+0.0478639
+0.0491606
+0.050518
+0.0519162
+0.053355
+0.0548384
+0.0563679
+0.0579398
+0.0594936
+0.0610812
+0.0627051
+0.0643626
+0.0660348
+0.0677116
+0.0694137
+0.0711423
+0.0728957
+0.0746722
+0.0764702
+0.0782883
+0.0801249
+0.081979
+0.0838493
+0.0857224
+0.0875788
+0.0894488
+0.0913294
+0.0932235
+0.0951187
+0.0970176
+0.0989285
+0.0998153
+0.100723
+0.101346
+0.101907
+0.102511
+0.103159
+0.0913812
+0.0894915
+0.0876134
+0.0857503
+0.0839029
+0.0820725
+0.08026
+0.0784669
+0.0766945
+0.0749442
+0.0732175
+0.0715163
+0.0698424
+0.0681978
+0.0665846
+0.0650053
+0.0634622
+0.0619582
+0.0604878
+0.0590606
+0.0576814
+0.0563537
+0.055081
+0.0538675
+0.052717
+0.0516339
+0.0506225
+0.0496872
+0.0488323
+0.0480615
+0.0473606
+0.0467519
+0.0462391
+0.0458254
+0.0455135
+0.0453055
+0.044361
+0.0432379
+0.0421805
+0.0412125
+0.0403178
+0.0395216
+0.0388017
+0.0381665
+0.0376364
+0.0371792
+0.0367948
+0.036538
+0.0363818
+0.036334
+0.0364095
+0.0365759
+0.0368558
+0.0372537
+0.0377736
+0.0384006
+0.0391403
+0.0399775
+0.0408621
+0.0418255
+0.0428624
+0.0439796
+0.0451755
+0.0464439
+0.047778
+0.0491566
+0.0505782
+0.0520485
+0.0535681
+0.0550895
+0.0566311
+0.0582142
+0.0598357
+0.0614925
+0.0631406
+0.064817
+0.0665208
+0.0682523
+0.0700095
+0.0717906
+0.0735938
+0.0754175
+0.0772603
+0.0791209
+0.0809979
+0.0828651
+0.0847207
+0.0865919
+0.0884777
+0.090368
+0.0922606
+0.0941661
+0.0960838
+0.0979568
+0.0988328
+0.0996945
+0.100216
+0.100783
+0.101394
+0.102049
+0.0917972
+0.0899174
+0.0880521
+0.086202
+0.0843668
+0.0825466
+0.0807448
+0.0789627
+0.0772017
+0.0754631
+0.0737486
+0.07206
+0.070399
+0.0687677
+0.0671682
+0.0656029
+0.0640742
+0.062585
+0.0611295
+0.0597178
+0.0583541
+0.057042
+0.0557851
+0.0545871
+0.0534522
+0.0523843
+0.0513877
+0.0504665
+0.0496251
+0.0488674
+0.0481968
+0.0475988
+0.0470953
+0.0466891
+0.0455449
+0.0442391
+0.0430054
+0.04185
+0.0407679
+0.0397614
+0.0388325
+0.0380073
+0.0372613
+0.0365872
+0.0360328
+0.035538
+0.0351343
+0.0348604
+0.034702
+0.034659
+0.0346958
+0.0348704
+0.0351583
+0.0355752
+0.0361165
+0.0367717
+0.0375435
+0.0384103
+0.0393117
+0.0403121
+0.0413868
+0.0425428
+0.0437779
+0.0450845
+0.0464397
+0.0478409
+0.0492955
+0.0507761
+0.0522612
+0.0537946
+0.0553722
+0.0569903
+0.0586226
+0.0602667
+0.0619418
+0.0636471
+0.0653813
+0.0671422
+0.0689278
+0.0707361
+0.0725655
+0.0744144
+0.0762815
+0.0781522
+0.0799971
+0.081859
+0.0837368
+0.0856295
+0.0875193
+0.0894185
+0.0913307
+0.0932552
+0.0951913
+0.097005
+0.0978896
+0.0985944
+0.0991221
+0.0996952
+0.100313
+0.100974
+0.0922633
+0.0903932
+0.0885379
+0.0866982
+0.0848752
+0.0830699
+0.0812836
+0.0795158
+0.0777673
+0.0760416
+0.0743405
+0.0726656
+0.0710188
+0.069402
+0.0678175
+0.0662676
+0.0647546
+0.0632813
+0.0618423
+0.0604472
+0.0591004
+0.0578052
+0.0565652
+0.0553842
+0.0542659
+0.0532144
+0.0522336
+0.0513276
+0.0505005
+0.0497561
+0.0490983
+0.0485299
+0.0471585
+0.0457092
+0.0443209
+0.0429878
+0.041717
+0.0405249
+0.0394067
+0.0383599
+0.0373962
+0.0365386
+0.0357725
+0.0350698
+0.0344862
+0.0339402
+0.0335172
+0.0332319
+0.0330658
+0.0329999
+0.0330385
+0.0332169
+0.033515
+0.0339521
+0.0345188
+0.0352038
+0.0360092
+0.0368869
+0.0378246
+0.0388634
+0.0399769
+0.0411724
+0.0424462
+0.043756
+0.0451237
+0.0465543
+0.0479936
+0.0494653
+0.0509886
+0.0525591
+0.0541707
+0.055774
+0.0574156
+0.0590891
+0.0607955
+0.062532
+0.0642963
+0.0660862
+0.0678995
+0.0697345
+0.0715895
+0.073463
+0.0752959
+0.0771469
+0.0790152
+0.0808997
+0.0827962
+0.084688
+0.0865939
+0.088513
+0.0904444
+0.0923873
+0.0943412
+0.0960937
+0.0969527
+0.097531
+0.0980645
+0.0986437
+0.0992679
+0.0999362
+0.0927788
+0.0909194
+0.089075
+0.0872466
+0.0854353
+0.0836421
+0.0818683
+0.0801151
+0.0783839
+0.0766763
+0.0749918
+0.0733317
+0.0717002
+0.0700992
+0.0685308
+0.0669973
+0.0655012
+0.0640451
+0.0626237
+0.0612463
+0.0599175
+0.0586403
+0.0574184
+0.0562553
+0.0551547
+0.0541204
+0.0531563
+0.0522664
+0.0514543
+0.050724
+0.0491814
+0.0476071
+0.0460712
+0.0445866
+0.0431622
+0.0418035
+0.040495
+0.0392652
+0.0381109
+0.0370259
+0.0360262
+0.0351348
+0.034353
+0.0336207
+0.0329736
+0.0324118
+0.0319685
+0.0316706
+0.0314922
+0.031406
+0.0314466
+0.0316245
+0.0319375
+0.0323959
+0.0329894
+0.0337055
+0.0345458
+0.0354335
+0.0364087
+0.0374867
+0.0386397
+0.0398464
+0.0411108
+0.0424506
+0.0438578
+0.0452522
+0.0467074
+0.0482184
+0.0497799
+0.0513555
+0.0529534
+0.0545902
+0.0562624
+0.0579692
+0.0597076
+0.0614749
+0.0632687
+0.0650867
+0.0669271
+0.0687881
+0.0706215
+0.0724594
+0.0743165
+0.0761912
+0.0780824
+0.0799778
+0.0818761
+0.0837887
+0.0857145
+0.0876529
+0.0896028
+0.0915636
+0.0935347
+0.0951701
+0.0960136
+0.0965057
+0.0970448
+0.0976301
+0.0982607
+0.0989329
+0.0933429
+0.0914949
+0.0896624
+0.0878462
+0.0860475
+0.0842674
+0.082507
+0.0807677
+0.0790508
+0.0773579
+0.0756905
+0.0740503
+0.0724393
+0.0708572
+0.069306
+0.06779
+0.0663118
+0.0648739
+0.063471
+0.0621125
+0.0608025
+0.0595444
+0.0583414
+0.0571971
+0.0561149
+0.0550987
+0.0541521
+0.0532787
+0.0515626
+0.0498711
+0.0482199
+0.0466131
+0.0450556
+0.0435454
+0.0420858
+0.0406918
+0.0393504
+0.0380836
+0.036887
+0.0357613
+0.0347255
+0.0338002
+0.0329802
+0.0322191
+0.0315389
+0.0309468
+0.0304843
+0.0301684
+0.0299511
+0.0298621
+0.0299048
+0.0301073
+0.030436
+0.0309167
+0.031538
+0.0322627
+0.0330834
+0.0340121
+0.0350533
+0.036165
+0.037304
+0.038533
+0.0398391
+0.0411744
+0.0425592
+0.0439949
+0.0454905
+0.0470323
+0.0485748
+0.0501655
+0.0517959
+0.0534657
+0.0551721
+0.0569116
+0.0586813
+0.0604786
+0.0623011
+0.0641466
+0.0659797
+0.0678018
+0.0696453
+0.0715083
+0.0733894
+0.0752872
+0.0771808
+0.0790856
+0.0810048
+0.0829374
+0.0848826
+0.0868395
+0.0888073
+0.0907728
+0.0927365
+0.0942824
+0.0950203
+0.0955176
+0.0960622
+0.0966534
+0.0972904
+0.0979619
+0.0939547
+0.092119
+0.0902991
+0.088496
+0.0867108
+0.0849446
+0.0831985
+0.081474
+0.0797723
+0.078095
+0.0764437
+0.0748201
+0.073226
+0.0716634
+0.0701345
+0.0686414
+0.0671841
+0.0657653
+0.0643818
+0.0630429
+0.0617527
+0.0605143
+0.059331
+0.0582061
+0.0571431
+0.0560976
+0.0542824
+0.0524958
+0.050741
+0.0490212
+0.0473403
+0.0457026
+0.044113
+0.0425765
+0.0410834
+0.0396525
+0.0382658
+0.036957
+0.0357347
+0.0345661
+0.0334934
+0.032533
+0.031681
+0.0308807
+0.0301687
+0.0295576
+0.0290605
+0.0287028
+0.0284717
+0.0283805
+0.0284321
+0.028645
+0.0289947
+0.0294988
+0.0301148
+0.0308314
+0.0316747
+0.0326436
+0.0337271
+0.0348506
+0.0360312
+0.0372725
+0.0385532
+0.0399088
+0.041336
+0.042813
+0.0443052
+0.0458348
+0.0474148
+0.0490381
+0.0507041
+0.0524088
+0.0541484
+0.0559198
+0.0577199
+0.0595445
+0.0613777
+0.0631807
+0.0650075
+0.0668562
+0.068725
+0.0706123
+0.0725125
+0.0744077
+0.0763188
+0.0782445
+0.0801839
+0.0821358
+0.0840996
+0.0860553
+0.0880134
+0.0899815
+0.0919598
+0.0934341
+0.0940653
+0.0945675
+0.0951176
+0.0957147
+0.0963578
+0.097007
+0.0945696
+0.0927697
+0.0909842
+0.0891949
+0.087424
+0.0856725
+0.0839416
+0.0822326
+0.0805469
+0.0788861
+0.0772517
+0.0756454
+0.0740691
+0.0725247
+0.0710143
+0.0695402
+0.0681046
+0.06671
+0.0653534
+0.0640348
+0.062765
+0.061547
+0.0603839
+0.0591617
+0.0572927
+0.05543
+0.0535922
+0.0517818
+0.0500019
+0.0482558
+0.0465473
+0.0448779
+0.0432476
+0.0416649
+0.0401365
+0.0386713
+0.0372543
+0.0359086
+0.0346472
+0.0334601
+0.0323507
+0.0313554
+0.0304461
+0.0296037
+0.0288601
+0.0282087
+0.0276839
+0.027308
+0.0270705
+0.026952
+0.0269994
+0.0272062
+0.0275693
+0.0280824
+0.028732
+0.0294728
+0.0303539
+0.0313593
+0.0324664
+0.0336278
+0.0347715
+0.0360079
+0.0373273
+0.0387258
+0.0401794
+0.0416301
+0.0431433
+0.0447088
+0.0463234
+0.0479837
+0.0496851
+0.0514235
+0.0531918
+0.0549816
+0.0567995
+0.0586047
+0.060411
+0.062242
+0.0640955
+0.0659698
+0.0678621
+0.0697586
+0.0716612
+0.0735784
+0.0755105
+0.0774563
+0.0794144
+0.0813579
+0.0833104
+0.0852746
+0.0872496
+0.089217
+0.0911728
+0.0926299
+0.0931519
+0.0936591
+0.0942145
+0.0948172
+0.0954664
+0.0960872
+0.0951183
+0.093329
+0.0915571
+0.0898037
+0.0880699
+0.0863569
+0.0846659
+0.0829983
+0.0813554
+0.0797295
+0.0781128
+0.0765246
+0.0749668
+0.0734413
+0.0719501
+0.0704955
+0.0690798
+0.0677053
+0.0663747
+0.0650811
+0.0638321
+0.0623944
+0.0604849
+0.0585951
+0.056704
+0.0548201
+0.0529598
+0.0511257
+0.0493208
+0.0475482
+0.0458113
+0.0441073
+0.0424474
+0.0408338
+0.039273
+0.0377748
+0.0363309
+0.0349643
+0.0336558
+0.032434
+0.0313024
+0.0302117
+0.0292442
+0.0283726
+0.0276192
+0.0269414
+0.0263741
+0.0259792
+0.0256993
+0.025575
+0.025625
+0.0258352
+0.0262173
+0.0267443
+0.0274277
+0.0282051
+0.0291236
+0.030154
+0.0312979
+0.032374
+0.0335556
+0.0348302
+0.0361926
+0.0375938
+0.0390176
+0.0405094
+0.042057
+0.0436597
+0.0453117
+0.0470016
+0.0487234
+0.0504815
+0.0522723
+0.0540851
+0.0558658
+0.0576746
+0.0595092
+0.0613657
+0.0632303
+0.0651152
+0.0670177
+0.0689299
+0.0708579
+0.0728007
+0.0747506
+0.0766849
+0.0786314
+0.0805905
+0.0825613
+0.0845427
+0.0864932
+0.088455
+0.0904272
+0.0918125
+0.0922816
+0.0927935
+0.093354
+0.0939623
+0.0946174
+0.0952046
+0.095709
+0.0939338
+0.0921758
+0.0904344
+0.088713
+0.0870126
+0.0853346
+0.0836803
+0.0820511
+0.0804486
+0.0788744
+0.0773302
+0.0758179
+0.0743394
+0.0728967
+0.071492
+0.0701099
+0.068756
+0.0674462
+0.0658087
+0.063851
+0.0619089
+0.059984
+0.0580779
+0.0561651
+0.0542625
+0.0523824
+0.0505274
+0.0487002
+0.0469042
+0.0451431
+0.0434211
+0.041743
+0.0401052
+0.0385149
+0.036986
+0.0355109
+0.0341025
+0.0327411
+0.0314723
+0.0302847
+0.0291558
+0.0281443
+0.0272115
+0.0264277
+0.0257184
+0.0251444
+0.0247434
+0.0244478
+0.0243177
+0.0243703
+0.0245833
+0.024953
+0.0254895
+0.0261742
+0.0270197
+0.0279801
+0.0290403
+0.0301046
+0.0312184
+0.032437
+0.0337538
+0.0350845
+0.0364747
+0.0379406
+0.0394703
+0.0410469
+0.0426726
+0.044346
+0.0460629
+0.0478185
+0.0496087
+0.0513836
+0.0531645
+0.0549747
+0.0567956
+0.0586418
+0.060511
+0.0624011
+0.0643093
+0.0662272
+0.0681612
+0.0701103
+0.0720418
+0.0739808
+0.0759335
+0.0778989
+0.079876
+0.0818393
+0.0837954
+0.0857629
+0.087741
+0.0897289
+0.0909888
+0.0914554
+0.0919719
+0.0925374
+0.093151
+0.0938118
+0.0943647
+0.0952294
+0.0944075
+0.0928328
+0.091107
+0.0894015
+0.0877176
+0.0860539
+0.0844137
+0.0827989
+0.0812112
+0.0796521
+0.0781232
+0.0766266
+0.0751639
+0.0737374
+0.0723491
+0.0710012
+0.0693664
+0.0673723
+0.0653899
+0.0634193
+0.0614636
+0.0595242
+0.0576029
+0.0557014
+0.0537883
+0.0518911
+0.0500178
+0.0481714
+0.0463549
+0.0445721
+0.0428271
+0.0411191
+0.0394484
+0.0378308
+0.0362555
+0.0347285
+0.0332588
+0.0318619
+0.0305543
+0.0293229
+0.0281695
+0.027098
+0.0261609
+0.0253456
+0.0246271
+0.024027
+0.0236007
+0.0232854
+0.0231679
+0.023213
+0.0233941
+0.0237765
+0.0243335
+0.0250499
+0.0259088
+0.0268745
+0.0279185
+0.0290169
+0.0301609
+0.0313901
+0.0326595
+0.0339984
+0.0354114
+0.0369003
+0.0384565
+0.040072
+0.0417401
+0.0434545
+0.0452101
+0.046966
+0.0487113
+0.0504914
+0.0522849
+0.0541077
+0.0559568
+0.0578298
+0.0597244
+0.0616376
+0.0635606
+0.0655001
+0.067435
+0.0693644
+0.0713089
+0.0732673
+0.0752383
+0.0772156
+0.0791647
+0.0811262
+0.0830991
+0.0850827
+0.0870762
+0.0890667
+0.090204
+0.0906747
+0.0911956
+0.0917659
+0.0923846
+0.0930242
+0.0935686
+0.0943439
+0.0935142
+0.0927288
+0.0918232
+0.0901313
+0.0884612
+0.0868144
+0.085192
+0.0835956
+0.0820252
+0.0804818
+0.0789691
+0.0774887
+0.0760427
+0.074633
+0.0730786
+0.0710536
+0.0690387
+0.0670349
+0.0650423
+0.0630608
+0.0610936
+0.0591421
+0.0572079
+0.0552929
+0.0533991
+0.0514858
+0.0495947
+0.0477293
+0.0458926
+0.0440806
+0.0423001
+0.0405598
+0.0388651
+0.0372105
+0.0355987
+0.0340254
+0.0325236
+0.0310768
+0.0297094
+0.0284414
+0.027272
+0.0261805
+0.0252068
+0.0243586
+0.023628
+0.0229764
+0.0225199
+0.022207
+0.0220859
+0.0221199
+0.0223205
+0.022721
+0.0232959
+0.0240046
+0.0248775
+0.0258491
+0.0268535
+0.0279564
+0.0290894
+0.03028
+0.0315779
+0.0329608
+0.0344164
+0.0359466
+0.0375423
+0.0391955
+0.0408993
+0.0426322
+0.0443316
+0.0460726
+0.0478505
+0.0496428
+0.0514659
+0.0533166
+0.0551923
+0.0570903
+0.0590076
+0.0609348
+0.0628722
+0.0647894
+0.0667234
+0.0686728
+0.070632
+0.0726042
+0.0745683
+0.0765221
+0.0784885
+0.0804665
+0.0824552
+0.0844539
+0.0864135
+0.0883823
+0.089466
+0.0899406
+0.0904657
+0.0910406
+0.0916642
+0.0922686
+0.0928173
+0.0935013
+0.092664
+0.0918714
+0.0911245
+0.0904245
+0.0892525
+0.0876205
+0.0860133
+0.0844324
+0.0828793
+0.0813554
+0.0798626
+0.0784026
+0.0769237
+0.0748745
+0.0728336
+0.0708016
+0.0687793
+0.0667677
+0.0647669
+0.0627767
+0.0608003
+0.0588391
+0.0568946
+0.0549687
+0.0530566
+0.051133
+0.0492316
+0.0473533
+0.045501
+0.0436694
+0.0418714
+0.0401111
+0.0383721
+0.0366815
+0.0350327
+0.0334228
+0.0318822
+0.0304047
+0.0290057
+0.0277055
+0.0265036
+0.0254153
+0.0243743
+0.023472
+0.0227033
+0.0220563
+0.021571
+0.0212255
+0.021103
+0.0211373
+0.021336
+0.0217321
+0.0223085
+0.0230476
+0.0239127
+0.0248602
+0.0258879
+0.0269299
+0.0280412
+0.0292745
+0.0306151
+0.0320396
+0.0335351
+0.0351037
+0.0367361
+0.038424
+0.0400722
+0.0417609
+0.0434944
+0.0452645
+0.0470564
+0.0488777
+0.0507283
+0.052605
+0.0545051
+0.0564251
+0.0583554
+0.0602652
+0.0621856
+0.064119
+0.0660677
+0.0680312
+0.0700081
+0.071957
+0.0739149
+0.0758856
+0.0778681
+0.0798614
+0.081829
+0.0837909
+0.0857639
+0.0877472
+0.0887759
+0.0892542
+0.0897833
+0.0903625
+0.0909908
+0.0915591
+0.0921121
+0.0927029
+0.0918583
+0.0910586
+0.090305
+0.0895987
+0.0889407
+0.0883321
+0.0868772
+0.0853115
+0.0837738
+0.0822656
+0.0807888
+0.0788147
+0.0767535
+0.0746997
+0.0726538
+0.0706167
+0.068589
+0.0665716
+0.0645647
+0.0625681
+0.0605849
+0.0586164
+0.0566643
+0.0547303
+0.0527921
+0.0508584
+0.0489464
+0.0470587
+0.0451984
+0.043365
+0.0415345
+0.039737
+0.0379809
+0.0362682
+0.034577
+0.0329449
+0.0313808
+0.0298786
+0.0284537
+0.0271271
+0.0258782
+0.0247043
+0.0236601
+0.0227218
+0.0218964
+0.021232
+0.0207195
+0.0203595
+0.0202043
+0.0202593
+0.0204619
+0.0208566
+0.0214381
+0.0221643
+0.0230395
+0.0240064
+0.0249689
+0.0259795
+0.0271298
+0.0284027
+0.0297825
+0.031245
+0.0327768
+0.0343801
+0.0359759
+0.0375933
+0.0392665
+0.0409832
+0.042742
+0.0445353
+0.0463522
+0.0482001
+0.0500757
+0.051976
+0.053897
+0.0558026
+0.0577027
+0.0596197
+0.0615549
+0.0635067
+0.0654736
+0.0674386
+0.0693857
+0.071347
+0.0733212
+0.0753075
+0.077283
+0.0792363
+0.0812017
+0.0831785
+0.0851656
+0.0871626
+0.0881349
+0.0886166
+0.0891496
+0.0897328
+0.0903655
+0.0908968
+0.0914538
+0.0919497
+0.0910981
+0.0902917
+0.0895317
+0.0888192
+0.0881553
+0.0875413
+0.0869782
+0.0861997
+0.0846745
+0.0828572
+0.0807803
+0.0787096
+0.0766456
+0.0745888
+0.0725398
+0.0704994
+0.0684682
+0.0664472
+0.0644364
+0.0624286
+0.0604276
+0.0584403
+0.056468
+0.0545124
+0.0525754
+0.0506401
+0.0487261
+0.0468324
+0.0449581
+0.0431137
+0.0412843
+0.039453
+0.0376601
+0.0359114
+0.0342136
+0.0325747
+0.031004
+0.0294827
+0.028016
+0.0266304
+0.0253266
+0.0241258
+0.0230458
+0.022083
+0.0212314
+0.0205471
+0.0200076
+0.019637
+0.0194616
+0.0195217
+0.0197049
+0.0201132
+0.0206741
+0.0214262
+0.0223105
+0.0231839
+0.024109
+0.0251839
+0.0263689
+0.0276768
+0.0290911
+0.030587
+0.0321051
+0.0336234
+0.0352121
+0.036856
+0.0385542
+0.0403
+0.0420873
+0.0439
+0.0457421
+0.0476138
+0.0495116
+0.0513939
+0.0532921
+0.0551884
+0.0571057
+0.059042
+0.0609955
+0.0629647
+0.0649102
+0.0668592
+0.0688227
+0.0707996
+0.0727672
+0.0747252
+0.0766811
+0.0786494
+0.0806292
+0.0826196
+0.0846199
+0.0866294
+0.087544
+0.088029
+0.0885655
+0.0891526
+0.0897721
+0.0902829
+0.0908437
+0.0912429
+0.0903847
+0.0895718
+0.0888056
+0.0880872
+0.0874179
+0.0867986
+0.0862306
+0.0857148
+0.08489
+0.0828065
+0.0807287
+0.078657
+0.0765919
+0.074534
+0.0724838
+0.0704422
+0.0683961
+0.0663581
+0.0643302
+0.0623133
+0.0603086
+0.0583172
+0.0563406
+0.0543804
+0.0524384
+0.0504973
+0.0485773
+0.0466785
+0.044798
+0.0429466
+0.041088
+0.0392475
+0.0374448
+0.0356855
+0.0339765
+0.0323255
+0.0307305
+0.0291591
+0.0276576
+0.0262532
+0.0249557
+0.0237263
+0.0226089
+0.0216266
+0.0207563
+0.0200558
+0.0195026
+0.0190751
+0.0188896
+0.0188639
+0.0190463
+0.0194681
+0.0200537
+0.0208214
+0.0216363
+0.0224467
+0.0234009
+0.0245143
+0.0257528
+0.0270905
+0.0285338
+0.02993
+0.031398
+0.0329409
+0.0345538
+0.0362274
+0.0379532
+0.0397179
+0.0415232
+0.043364
+0.0452248
+0.0470822
+0.0489553
+0.0508428
+0.0527361
+0.0546516
+0.0565871
+0.0585406
+0.0605002
+0.0624331
+0.0643826
+0.0663449
+0.0682936
+0.0702566
+0.0722098
+0.0741674
+0.0761376
+0.0781196
+0.0801106
+0.0821106
+0.0841201
+0.0861385
+0.0870043
+0.0874923
+0.088032
+0.0886227
+0.0892043
+0.0897183
+0.0902826
+0.0905836
+0.0897191
+0.0889001
+0.0881281
+0.0874041
+0.0867295
+0.0861053
+0.0855327
+0.0850127
+0.0845462
+0.0828113
+0.0807336
+0.078662
+0.0765934
+0.0745298
+0.0724657
+0.0704093
+0.0683611
+0.0663221
+0.0642931
+0.062275
+0.0602689
+0.0582762
+0.0562982
+0.0543365
+0.0523758
+0.0504316
+0.0485085
+0.0466089
+0.044736
+0.0428827
+0.0410079
+0.0391637
+0.0373569
+0.0355933
+0.0338796
+0.0322077
+0.0305616
+0.0289811
+0.0274699
+0.0260427
+0.0246829
+0.0234305
+0.0223102
+0.0213047
+0.0204083
+0.0196715
+0.0190557
+0.0186245
+0.0184183
+0.0183833
+0.0185615
+0.0189589
+0.0194958
+0.0202459
+0.0210687
+0.0218679
+0.0228464
+0.0239855
+0.0252401
+0.026611
+0.0279133
+0.0293216
+0.0308139
+0.0323826
+0.0340133
+0.035704
+0.0374466
+0.0392341
+0.0410607
+0.042884
+0.0447265
+0.0465952
+0.0484678
+0.0503551
+0.052263
+0.0541831
+0.0561231
+0.0580808
+0.0600138
+0.0619499
+0.0638824
+0.0658312
+0.0677947
+0.0697414
+0.071698
+0.0736658
+0.0756459
+0.0776373
+0.0796391
+0.0816507
+0.0836712
+0.0857001
+0.086481
+0.0870074
+0.0875502
+0.088144
+0.0886869
+0.0892039
+0.0897615
+0.0899673
+0.0891023
+0.0882777
+0.0875001
+0.086771
+0.0860913
+0.0854625
+0.0848855
+0.0843615
+0.0838915
+0.0828606
+0.0807799
+0.0787052
+0.0766325
+0.0745622
+0.072499
+0.0704435
+0.0683964
+0.0663584
+0.0643305
+0.0623137
+0.0603089
+0.0583175
+0.056341
+0.0543653
+0.0524034
+0.0504602
+0.0485346
+0.0466153
+0.0447209
+0.0428548
+0.0410208
+0.0391863
+0.0373804
+0.0355967
+0.0338545
+0.0321672
+0.0305395
+0.0289498
+0.0274288
+0.0259569
+0.0245923
+0.0233354
+0.0221962
+0.0211737
+0.0202528
+0.0194859
+0.0188402
+0.0183557
+0.018089
+0.0180055
+0.0181471
+0.0185371
+0.0190915
+0.0197668
+0.0205615
+0.021465
+0.022461
+0.0236188
+0.0248919
+0.0261037
+0.02743
+0.0288494
+0.030354
+0.031938
+0.0335903
+0.0353013
+0.0370628
+0.0388455
+0.0406349
+0.0424619
+0.0443219
+0.0461577
+0.0480222
+0.0499131
+0.0518277
+0.0537634
+0.0557167
+0.0576361
+0.0595475
+0.0614775
+0.0634245
+0.0653783
+0.0673169
+0.0692707
+0.0712381
+0.0732183
+0.0752102
+0.0772128
+0.0792254
+0.0812472
+0.0832775
+0.0851848
+0.0858977
+0.0865753
+0.0871207
+0.0877175
+0.0882209
+0.0887306
+0.0892907
+0.0893852
+0.0885195
+0.0876999
+0.0869229
+0.0861888
+0.0855046
+0.0848714
+0.0842904
+0.0837627
+0.0832893
+0.082871
+0.0808806
+0.0788008
+0.0767265
+0.0746588
+0.0725984
+0.0705457
+0.0685017
+0.066467
+0.0644425
+0.0624292
+0.0604283
+0.0584384
+0.0564548
+0.05448
+0.0525058
+0.0505474
+0.0486088
+0.0466926
+0.0448015
+0.0429389
+0.0411086
+0.0393039
+0.0374796
+0.0356948
+0.0339576
+0.0322602
+0.0305981
+0.0290064
+0.0274971
+0.0260487
+0.0246892
+0.0234402
+0.0222572
+0.0211562
+0.020192
+0.0193999
+0.0187095
+0.0182083
+0.0179307
+0.0178433
+0.017975
+0.018292
+0.0187672
+0.0194233
+0.020233
+0.0212288
+0.0222542
+0.0234221
+0.0245406
+0.0257613
+0.027089
+0.0285182
+0.0300394
+0.031637
+0.0333
+0.0350179
+0.0367413
+0.0385039
+0.0403084
+0.0421003
+0.0439184
+0.0457693
+0.0476489
+0.0495541
+0.0514804
+0.0533856
+0.0553067
+0.057212
+0.0591371
+0.0610801
+0.0630121
+0.0649476
+0.0668987
+0.0688643
+0.0708431
+0.072834
+0.0748361
+0.0768485
+0.0788703
+0.080901
+0.0829221
+0.0846028
+0.0853205
+0.086088
+0.0867445
+0.0873368
+0.0877969
+0.0883087
+0.0888715
+0.0888533
+0.0879823
+0.0871578
+0.0863809
+0.085653
+0.0849703
+0.0843331
+0.0837483
+0.0832172
+0.0827406
+0.0823196
+0.0810296
+0.078953
+0.0768828
+0.0748195
+0.0727636
+0.0707158
+0.0686768
+0.0666405
+0.0646119
+0.0625941
+0.0605884
+0.058596
+0.0566182
+0.0546359
+0.0526656
+0.0507134
+0.0487814
+0.0468722
+0.0449887
+0.0431342
+0.0413126
+0.0395143
+0.0377002
+0.0359265
+0.0341712
+0.0324591
+0.0308078
+0.0292274
+0.0277302
+0.026291
+0.0249018
+0.0235592
+0.0223121
+0.0212184
+0.0202647
+0.0194604
+0.0187346
+0.0182342
+0.0179431
+0.0177972
+0.0178777
+0.018187
+0.0186643
+0.0193078
+0.0201202
+0.0210935
+0.0220899
+0.0231977
+0.0243101
+0.0255419
+0.0268936
+0.0283278
+0.0298539
+0.0314586
+0.0331008
+0.0347856
+0.0365111
+0.0382403
+0.039994
+0.041789
+0.0436202
+0.0454831
+0.0473713
+0.0492406
+0.0511355
+0.0530531
+0.054952
+0.0568692
+0.0587871
+0.0607063
+0.0626418
+0.0645884
+0.06655
+0.0685256
+0.0705139
+0.0725139
+0.0745245
+0.0765349
+0.0785462
+0.0805668
+0.0825961
+0.0840738
+0.084796
+0.0855682
+0.086389
+0.0869637
+0.0874254
+0.0879393
+0.0885045
+0.0883725
+0.0874968
+0.0866676
+0.0858863
+0.0851542
+0.0844726
+0.0838408
+0.0832594
+0.0827261
+0.0822467
+0.0818232
+0.0812367
+0.0791656
+0.0770992
+0.0750336
+0.0729752
+0.0709248
+0.0688829
+0.0668506
+0.0648285
+0.0628177
+0.0608194
+0.0588348
+0.0568551
+0.0548771
+0.0529157
+0.0509731
+0.0490514
+0.0471531
+0.0452812
+0.0434392
+0.0416007
+0.0397829
+0.0380045
+0.0362466
+0.0344984
+0.0328035
+0.0311704
+0.0296094
+0.0280379
+0.0265278
+0.025079
+0.0237204
+0.0224822
+0.0213611
+0.0203695
+0.0195651
+0.0188604
+0.0183543
+0.0180517
+0.0179067
+0.0179867
+0.0182816
+0.0187421
+0.0194075
+0.0201499
+0.0210032
+0.0219855
+0.0230677
+0.0242759
+0.0255094
+0.0268529
+0.0282876
+0.0297969
+0.0313648
+0.0329785
+0.0346189
+0.0363018
+0.0380238
+0.039787
+0.041591
+0.0434235
+0.0452464
+0.0470982
+0.048978
+0.05086
+0.0527478
+0.0546583
+0.056562
+0.0584722
+0.0604015
+0.0623463
+0.0643018
+0.066272
+0.0682556
+0.070246
+0.0722353
+0.0742348
+0.0762437
+0.0782623
+0.0802899
+0.0823259
+0.0835989
+0.0843251
+0.0851016
+0.0859269
+0.086644
+0.0871074
+0.0876232
+0.0881904
+0.0879437
+0.0870637
+0.0862303
+0.085445
+0.0847091
+0.0840239
+0.0833887
+0.0828042
+0.0822738
+0.0817986
+0.0813797
+0.0810081
+0.079409
+0.0773429
+0.075284
+0.0732326
+0.0711896
+0.0691556
+0.0671315
+0.0651182
+0.0631166
+0.0611281
+0.0591408
+0.0571579
+0.0551907
+0.053241
+0.0513107
+0.0494022
+0.047518
+0.0456595
+0.0437991
+0.0419622
+0.0401608
+0.0383678
+0.0366058
+0.0348618
+0.0331652
+0.0315285
+0.029911
+0.0283427
+0.026822
+0.0253881
+0.0240242
+0.0227615
+0.0216295
+0.0206535
+0.0198252
+0.0191468
+0.0186579
+0.0183674
+0.0182296
+0.0181886
+0.0183772
+0.0188206
+0.0193821
+0.0201381
+0.0210488
+0.021994
+0.0230949
+0.0242347
+0.0254883
+0.0268613
+0.0283042
+0.0298266
+0.0313313
+0.0328908
+0.034519
+0.0362065
+0.0379327
+0.039683
+0.04144
+0.0432367
+0.0450671
+0.0469053
+0.0487558
+0.0506273
+0.0525235
+0.0544224
+0.05632
+0.0582381
+0.0601749
+0.0621267
+0.0640782
+0.0660381
+0.0680068
+0.0699887
+0.0719827
+0.0739878
+0.0760032
+0.078028
+0.080057
+0.0820632
+0.0831789
+0.0839088
+0.0846891
+0.0855184
+0.0863787
+0.0868436
+0.0873609
+0.0879298
+0.0875675
+0.0866836
+0.0858466
+0.0850577
+0.0843184
+0.08363
+0.082992
+0.0824046
+0.0818716
+0.0813942
+0.0809732
+0.0806095
+0.0797058
+0.0776477
+0.075597
+0.0735544
+0.0715206
+0.0694963
+0.0674824
+0.0654799
+0.0634897
+0.0614929
+0.0595077
+0.0575374
+0.0555837
+0.0536482
+0.0517331
+0.0498371
+0.0479615
+0.046101
+0.0442513
+0.0424186
+0.0405939
+0.038777
+0.0370005
+0.0352707
+0.0335706
+0.0318739
+0.0302403
+0.028674
+0.0271671
+0.0257312
+0.0243865
+0.0231441
+0.0220157
+0.0210475
+0.020235
+0.0194824
+0.0189528
+0.0185861
+0.0184043
+0.0183542
+0.0185411
+0.0189534
+0.0195088
+0.0202661
+0.0211742
+0.0221378
+0.0231822
+0.0242999
+0.0255569
+0.0269337
+0.0283374
+0.0298323
+0.031372
+0.0329296
+0.0345559
+0.0362197
+0.0378841
+0.0395998
+0.0413604
+0.0431328
+0.0449273
+0.0467556
+0.0486118
+0.0504886
+0.0523654
+0.0542541
+0.0561624
+0.0580676
+0.0599882
+0.0619267
+0.0638726
+0.0658332
+0.0678079
+0.0697954
+0.0717948
+0.073805
+0.0758252
+0.0778337
+0.0798331
+0.0818424
+0.0828149
+0.0835479
+0.0843316
+0.0851644
+0.0860449
+0.0866269
+0.0871455
+0.0877158
+0.0872378
+0.0863505
+0.0855102
+0.0847182
+0.0839759
+0.0832847
+0.0826457
+0.0820603
+0.0815264
+0.0810469
+0.0806241
+0.0802589
+0.079952
+0.0780129
+0.075972
+0.0739398
+0.0719169
+0.069904
+0.0679022
+0.0659068
+0.0639086
+0.0619233
+0.0599524
+0.0579972
+0.0560595
+0.0541357
+0.0522307
+0.0503489
+0.0484917
+0.0466258
+0.0447589
+0.0428947
+0.0410626
+0.0392674
+0.0374713
+0.0357119
+0.0339954
+0.0323206
+0.0307105
+0.0291621
+0.0276766
+0.0262372
+0.0249074
+0.023694
+0.0225673
+0.0215803
+0.0207412
+0.0200064
+0.0194011
+0.0189267
+0.0186852
+0.0186137
+0.0187926
+0.0191782
+0.0197614
+0.0204826
+0.0213869
+0.0223641
+0.0233467
+0.0244691
+0.0257237
+0.0270609
+0.0284555
+0.0299389
+0.0315028
+0.0330682
+0.0346395
+0.0362611
+0.0379237
+0.0396077
+0.041323
+0.0430815
+0.0448781
+0.0467083
+0.0485389
+0.0503836
+0.0522521
+0.0541442
+0.056028
+0.0579334
+0.0598539
+0.0617867
+0.0637361
+0.0657008
+0.0676793
+0.0696705
+0.0716734
+0.0736863
+0.0756685
+0.0776619
+0.0796657
+0.0816346
+0.0825074
+0.0832432
+0.0840296
+0.0848654
+0.085749
+0.0864619
+0.0869815
+0.0875528
+0.0869619
+0.0860718
+0.0852288
+0.0844342
+0.0836894
+0.0829957
+0.0823545
+0.081767
+0.0812343
+0.0807574
+0.0803333
+0.0799667
+0.0796587
+0.0784375
+0.076408
+0.0743877
+0.0723773
+0.0703776
+0.0683771
+0.066381
+0.0643974
+0.0624277
+0.0604733
+0.0585287
+0.0566019
+0.054695
+0.0528101
+0.0509197
+0.0490467
+0.0471618
+0.0452828
+0.0434228
+0.0415816
+0.0397627
+0.0379831
+0.0362486
+0.0345463
+0.032892
+0.0313036
+0.0297718
+0.0282896
+0.0268772
+0.025568
+0.0243547
+0.0232506
+0.0222937
+0.0213574
+0.0205513
+0.0198639
+0.0193879
+0.0191167
+0.019058
+0.0192381
+0.0196462
+0.0201924
+0.0209212
+0.0217459
+0.0226795
+0.0236262
+0.0246985
+0.025912
+0.0272379
+0.0286155
+0.0300803
+0.0315785
+0.0331538
+0.034742
+0.0363624
+0.037991
+0.0396553
+0.0413687
+0.0431253
+0.044904
+0.0466934
+0.0485157
+0.0503612
+0.0522056
+0.0540666
+0.0559514
+0.0578578
+0.0597766
+0.061712
+0.0636639
+0.0656309
+0.0676116
+0.0696049
+0.0715969
+0.0735701
+0.0755554
+0.0775331
+0.0794914
+0.0814614
+0.082257
+0.0829951
+0.0837839
+0.084622
+0.0855081
+0.0863521
+0.0868724
+0.0874444
+0.0867272
+0.0858455
+0.0850029
+0.0842061
+0.0834593
+0.0827637
+0.0821207
+0.0815315
+0.0809973
+0.0805191
+0.0800981
+0.0797337
+0.0794248
+0.0789207
+0.0769039
+0.074897
+0.0729006
+0.0708968
+0.068904
+0.0669235
+0.064955
+0.0629962
+0.0610532
+0.0591276
+0.0572128
+0.0552926
+0.0533896
+0.0514907
+0.0495733
+0.0476794
+0.045812
+0.0439745
+0.0421574
+0.0403637
+0.0386035
+0.0368851
+0.0352105
+0.0335835
+0.0320034
+0.0304798
+0.0290338
+0.0276572
+0.0263597
+0.0251776
+0.0240788
+0.0229842
+0.0220069
+0.0211824
+0.0205162
+0.020045
+0.0197828
+0.019726
+0.0198807
+0.0202456
+0.0207777
+0.0214476
+0.0222087
+0.0231097
+0.0240112
+0.0250669
+0.0262466
+0.0275101
+0.0288582
+0.0302891
+0.0317823
+0.0332958
+0.0348777
+0.0365226
+0.0381606
+0.0398178
+0.0415245
+0.0432366
+0.0449857
+0.046772
+0.0485653
+0.0503703
+0.0522048
+0.0540658
+0.0559507
+0.057854
+0.0597713
+0.0617068
+0.0636589
+0.065626
+0.0676069
+0.0695826
+0.0715444
+0.0735191
+0.0754643
+0.0774128
+0.079374
+0.0810552
+0.0820539
+0.0827938
+0.0835845
+0.0844246
+0.0853128
+0.0862417
+0.0868185
+0.0873909
+0.0865357
+0.085652
+0.0848157
+0.0840282
+0.0832863
+0.0825892
+0.0819448
+0.0813543
+0.080819
+0.0803397
+0.0799177
+0.0795538
+0.0792488
+0.0790008
+0.0774587
+0.0754604
+0.0734607
+0.0714722
+0.0694928
+0.0675236
+0.0655684
+0.0636246
+0.0616629
+0.0597172
+0.0577891
+0.0558803
+0.0539645
+0.052049
+0.050153
+0.0482818
+0.0464387
+0.0446269
+0.0428233
+0.0410455
+0.0393046
+0.0376109
+0.0359625
+0.0343521
+0.032809
+0.0313253
+0.0298929
+0.0285337
+0.02727
+0.0260443
+0.0248156
+0.0237258
+0.0227586
+0.0219644
+0.0213078
+0.0208322
+0.0205585
+0.020483
+0.0206058
+0.020907
+0.0213784
+0.022024
+0.0228321
+0.0236077
+0.024503
+0.0255388
+0.0266836
+0.0279029
+0.0292166
+0.0306169
+0.0320624
+0.0335619
+0.035134
+0.0367695
+0.0384544
+0.0400815
+0.041733
+0.0434321
+0.0451636
+0.0468949
+0.0486632
+0.0504647
+0.0522959
+0.0541538
+0.0560356
+0.0579314
+0.0598462
+0.0617794
+0.0637292
+0.0656942
+0.0676487
+0.0695876
+0.0715411
+0.0734678
+0.0754043
+0.0771667
+0.0785163
+0.0799033
+0.0813256
+0.0826493
+0.0834414
+0.084283
+0.0851726
+0.0861031
+0.0868198
+0.0873922
+0.0863993
+0.0855142
+0.0846766
+0.0838878
+0.0831493
+0.0824612
+0.081819
+0.0812308
+0.0806977
+0.0802198
+0.0797972
+0.0794327
+0.0791273
+0.0788815
+0.0780588
+0.0760644
+0.0740767
+0.0720995
+0.0701239
+0.068138
+0.0661652
+0.0642064
+0.0622631
+0.0603368
+0.0584056
+0.0564904
+0.0545853
+0.0526926
+0.0508205
+0.0489749
+0.0471589
+0.0453518
+0.0435627
+0.0418119
+0.0401044
+0.0384441
+0.0368119
+0.0352403
+0.0337233
+0.0322709
+0.0308608
+0.0295343
+0.0281645
+0.0268621
+0.0256726
+0.0245954
+0.0236639
+0.0228893
+0.022257
+0.0217415
+0.0214135
+0.0213069
+0.0213969
+0.0216507
+0.0220932
+0.0227005
+0.0234457
+0.0242225
+0.0251169
+0.0261283
+0.0272269
+0.0284182
+0.029691
+0.0310536
+0.0324743
+0.0339556
+0.0355103
+0.0371292
+0.0387314
+0.0403652
+0.042049
+0.0436931
+0.0453748
+0.0470983
+0.0488592
+0.0506537
+0.0524783
+0.05433
+0.0562022
+0.0580914
+0.0600011
+0.0619294
+0.0638677
+0.0657722
+0.067694
+0.0696316
+0.0715499
+0.0733969
+0.0746884
+0.0760189
+0.0773886
+0.0787954
+0.0802373
+0.0817126
+0.0832193
+0.0841981
+0.0850886
+0.08602
+0.0868764
+0.0874484
+0.0863183
+0.0854324
+0.0845939
+0.0838044
+0.0830651
+0.0823775
+0.0817428
+0.0811561
+0.0806225
+0.0801453
+0.0797255
+0.079364
+0.0790603
+0.0788143
+0.0786286
+0.0766982
+0.0746944
+0.0727014
+0.0707201
+0.0687515
+0.0667967
+0.0648531
+0.0629054
+0.0609741
+0.0590609
+0.0571677
+0.0552796
+0.0534095
+0.0515646
+0.0497478
+0.0479433
+0.0461507
+0.0443938
+0.0426771
+0.0410056
+0.0393619
+0.0377694
+0.0362218
+0.0347267
+0.033292
+0.0318298
+0.0304137
+0.0290556
+0.0278041
+0.0266545
+0.0256108
+0.0247063
+0.023882
+0.0232161
+0.0227063
+0.0223841
+0.0222404
+0.0223087
+0.0225516
+0.0229615
+0.0235612
+0.0242354
+0.0249945
+0.0258735
+0.0268214
+0.0278812
+0.0290606
+0.0302802
+0.0315875
+0.0329629
+0.0344211
+0.0359536
+0.0375434
+0.0391209
+0.0407423
+0.0423802
+0.0440068
+0.0456806
+0.0473965
+0.0491502
+0.0509364
+0.0527512
+0.0545932
+0.0564521
+0.0583332
+0.0602353
+0.0621089
+0.0639907
+0.0658916
+0.0677959
+0.0695436
+0.0708461
+0.0721916
+0.0735672
+0.0749177
+0.0763071
+0.0777335
+0.0791947
+0.080689
+0.0822145
+0.0837696
+0.0850609
+0.0859926
+0.0869645
+0.0875595
+0.0862916
+0.0854067
+0.084568
+0.0837782
+0.0830387
+0.0823508
+0.0817159
+0.0811352
+0.0806068
+0.0801295
+0.0797096
+0.079348
+0.0790443
+0.0787982
+0.0786125
+0.0773058
+0.0753182
+0.0733421
+0.0713786
+0.069419
+0.0674608
+0.0655173
+0.0635899
+0.06168
+0.0597894
+0.0579081
+0.0560401
+0.0541962
+0.052379
+0.0505776
+0.0487982
+0.0470381
+0.0453157
+0.0436353
+0.0419857
+0.0403768
+0.0387955
+0.0372618
+0.0357151
+0.0342163
+0.032792
+0.031394
+0.0300803
+0.028872
+0.0277316
+0.02669
+0.0257597
+0.0249678
+0.0242956
+0.0237843
+0.0234453
+0.0233082
+0.0233764
+0.0236071
+0.0239991
+0.0245114
+0.0251375
+0.0258461
+0.0266478
+0.0275693
+0.028629
+0.0297614
+0.0309364
+0.0322157
+0.0335683
+0.0350012
+0.0365074
+0.0380336
+0.0396076
+0.0412081
+0.0428081
+0.0444191
+0.0460779
+0.0477796
+0.0495197
+0.0512944
+0.0531002
+0.0549339
+0.0567604
+0.0586078
+0.0604577
+0.0623124
+0.064172
+0.0658292
+0.0670608
+0.0683404
+0.0696654
+0.0710333
+0.0724417
+0.0738648
+0.0752737
+0.0767193
+0.0781995
+0.0797125
+0.0812563
+0.0828285
+0.0844227
+0.0860211
+0.0869926
+0.0877251
+0.0863075
+0.0854372
+0.0845988
+0.0838093
+0.08307
+0.0823825
+0.0817478
+0.0811673
+0.0806422
+0.0801731
+0.079754
+0.0793925
+0.0790889
+0.078843
+0.0786574
+0.0779702
+0.076
+0.0740273
+0.0720612
+0.0701083
+0.0681699
+0.0662472
+0.0643417
+0.0624548
+0.060581
+0.0587162
+0.0568747
+0.0550588
+0.0532594
+0.0514837
+0.0497349
+0.0480092
+0.0463229
+0.0446703
+0.0430266
+0.0414291
+0.0398246
+0.0382359
+0.0367092
+0.0352508
+0.0338353
+0.0324595
+0.0311764
+0.029965
+0.0288392
+0.0278119
+0.0269198
+0.0261156
+0.025469
+0.0249647
+0.0246419
+0.0245115
+0.0245445
+0.024741
+0.0250579
+0.0255382
+0.0261274
+0.0267916
+0.0275658
+0.0284576
+0.0294654
+0.0305391
+0.0316876
+0.032942
+0.0342867
+0.0357029
+0.0371329
+0.0386344
+0.0401631
+0.0417409
+0.0433188
+0.0449316
+0.0465749
+0.0482591
+0.0499825
+0.0517262
+0.0534871
+0.0552719
+0.0570783
+0.0588922
+0.0607272
+0.0622721
+0.0634258
+0.0646311
+0.0658851
+0.0671871
+0.0685345
+0.0699245
+0.0713547
+0.0728227
+0.0742792
+0.0757438
+0.0772427
+0.078774
+0.0803359
+0.0819249
+0.0835363
+0.0851736
+0.0868352
+0.087945
+0.0863718
+0.0855081
+0.0846863
+0.0838976
+0.0831591
+0.0824723
+0.0818383
+0.0812585
+0.080734
+0.0802658
+0.0798551
+0.0794974
+0.0791942
+0.0789487
+0.0787633
+0.0786385
+0.0766985
+0.0747384
+0.0727914
+0.0708587
+0.0689414
+0.0670408
+0.0651585
+0.0632926
+0.0614321
+0.059594
+0.0577805
+0.0559841
+0.0542092
+0.0524656
+0.0507489
+0.049059
+0.0473749
+0.0457204
+0.0440862
+0.0424311
+0.0408265
+0.0392785
+0.0377942
+0.0363288
+0.0349138
+0.0335822
+0.0323231
+0.0311475
+0.0300413
+0.0290389
+0.0281278
+0.0273537
+0.0267372
+0.0262597
+0.025952
+0.0257952
+0.0258108
+0.0259502
+0.026236
+0.0266152
+0.0271469
+0.0278272
+0.0286083
+0.0294307
+0.0303645
+0.0314102
+0.0325539
+0.0337722
+0.0350766
+0.0364338
+0.0378459
+0.039296
+0.0408123
+0.0423506
+0.0438931
+0.0454855
+0.0471261
+0.0487875
+0.0504608
+0.0521725
+0.0539189
+0.0556679
+0.0574428
+0.0589025
+0.0599641
+0.0610828
+0.0622586
+0.063486
+0.0647622
+0.0660863
+0.0674557
+0.0688675
+0.0703192
+0.0718084
+0.0733263
+0.0748187
+0.0763358
+0.077885
+0.0794643
+0.0810704
+0.0826985
+0.084352
+0.0860295
+0.0877297
+0.0864915
+0.0856291
+0.0848144
+0.0840429
+0.0833057
+0.0826201
+0.0819873
+0.0814085
+0.080885
+0.0804177
+0.0800077
+0.0796559
+0.0793567
+0.0791116
+0.0789266
+0.0788021
+0.077447
+0.0755063
+0.0735797
+0.0716682
+0.0697731
+0.0678959
+0.0660379
+0.0641826
+0.0623486
+0.0605383
+0.0587446
+0.0569713
+0.0552279
+0.053515
+0.0518214
+0.0501222
+0.0484513
+0.0467505
+0.0450867
+0.0434697
+0.0419049
+0.0403983
+0.0389093
+0.0374637
+0.0360932
+0.0347883
+0.0335664
+0.0323803
+0.0312871
+0.0303103
+0.0294318
+0.0286929
+0.0280985
+0.0276389
+0.0273192
+0.027149
+0.0270726
+0.0271407
+0.0273808
+0.0277472
+0.028255
+0.0288914
+0.0296755
+0.0304644
+0.0313675
+0.0323778
+0.0334908
+0.034698
+0.0359511
+0.0372675
+0.03864
+0.0400615
+0.0415377
+0.0430317
+0.0445677
+0.0461369
+0.0477463
+0.0493578
+0.0510124
+0.0527023
+0.0543976
+0.0557366
+0.0566906
+0.0577109
+0.0587951
+0.0599398
+0.0611415
+0.0623969
+0.0636949
+0.0650408
+0.0664316
+0.0678648
+0.0693375
+0.0708473
+0.0723853
+0.073947
+0.0754816
+0.077048
+0.0786442
+0.0802666
+0.0819107
+0.0835798
+0.0852725
+0.0869875
+0.0866611
+0.0858058
+0.0849928
+0.0842291
+0.0835096
+0.0828257
+0.0821944
+0.0816171
+0.0810949
+0.0806289
+0.08022
+0.0798691
+0.0795762
+0.079332
+0.0791475
+0.0790233
+0.0782497
+0.0763294
+0.0744241
+0.0725349
+0.070663
+0.0688101
+0.0669634
+0.0651341
+0.0633208
+0.0615214
+0.059748
+0.0580032
+0.0562896
+0.0546086
+0.0528927
+0.0511594
+0.0494623
+0.0477957
+0.0461696
+0.0445919
+0.0430663
+0.0415341
+0.0400632
+0.0386605
+0.0373336
+0.036031
+0.0347995
+0.033654
+0.0326036
+0.03167
+0.0308364
+0.030132
+0.0295546
+0.0290768
+0.0286965
+0.0284547
+0.0283568
+0.0284183
+0.0286476
+0.0289855
+0.0294465
+0.030057
+0.0307613
+0.031567
+0.0324403
+0.0334204
+0.0344858
+0.0356414
+0.0368907
+0.0381759
+0.0395238
+0.0409149
+0.0423273
+0.0438
+0.0453223
+0.046842
+0.0484014
+0.0499952
+0.0516292
+0.0528217
+0.0536551
+0.0545638
+0.0555379
+0.056579
+0.0576844
+0.0588507
+0.0600743
+0.0613517
+0.0626797
+0.0640531
+0.0654649
+0.0669188
+0.0684118
+0.0699417
+0.0714992
+0.0730879
+0.074682
+0.0762648
+0.077877
+0.0795151
+0.0811744
+0.0828583
+0.0845655
+0.0862945
+0.0868695
+0.0860217
+0.0852217
+0.0844655
+0.0837543
+0.0830785
+0.0824492
+0.0818737
+0.0813531
+0.0808886
+0.080481
+0.0801312
+0.0798401
+0.0796082
+0.0794282
+0.0793045
+0.0791049
+0.0772059
+0.0753227
+0.0734566
+0.0716089
+0.069771
+0.0679321
+0.0661129
+0.064317
+0.0625462
+0.0608027
+0.0590891
+0.0574079
+0.0556434
+0.0539094
+0.0522098
+0.0505478
+0.0489167
+0.0473291
+0.0457497
+0.0442019
+0.0427105
+0.0412815
+0.0399216
+0.0385824
+0.037309
+0.0361211
+0.0350186
+0.0340103
+0.0330899
+0.0322777
+0.0315569
+0.030934
+0.0304558
+0.0300689
+0.0298382
+0.0297437
+0.0298023
+0.0299824
+0.0302817
+0.0307198
+0.0312624
+0.0319308
+0.0327034
+0.0335838
+0.0345267
+0.035561
+0.0366758
+0.0378666
+0.0391158
+0.0404236
+0.0417682
+0.0431485
+0.0445788
+0.0460554
+0.0475525
+0.0490905
+0.0501906
+0.0508969
+0.0516756
+0.0525272
+0.0534551
+0.054449
+0.0555105
+0.0566368
+0.0578243
+0.0590691
+0.0603678
+0.0617169
+0.0631132
+0.0645463
+0.0660204
+0.0675333
+0.0690826
+0.0706659
+0.0722768
+0.0739138
+0.075537
+0.0771644
+0.0788173
+0.080491
+0.0821889
+0.0839097
+0.085652
+0.0871326
+0.0862873
+0.0854898
+0.0847415
+0.0840287
+0.0833601
+0.0827441
+0.0821754
+0.0816567
+0.0811939
+0.0807879
+0.0804394
+0.0801494
+0.0799184
+0.0797469
+0.0796353
+0.0795819
+0.078134
+0.0762738
+0.0744315
+0.072581
+0.0707457
+0.0689312
+0.0671391
+0.0653714
+0.0636299
+0.061917
+0.060192
+0.0584288
+0.0566954
+0.0549946
+0.0533296
+0.0516991
+0.0500739
+0.0484741
+0.0469137
+0.0454054
+0.0439546
+0.0425671
+0.0411886
+0.0398812
+0.0386511
+0.0375057
+0.0364447
+0.0354479
+0.0345208
+0.0336947
+0.0329708
+0.0323752
+0.031903
+0.0315338
+0.0313139
+0.0312216
+0.0312338
+0.0313677
+0.0316266
+0.0320173
+0.0325511
+0.0331762
+0.0339205
+0.0347672
+0.0357207
+0.0367085
+0.0377715
+0.0389288
+0.0401328
+0.0413733
+0.0426622
+0.0440209
+0.0454017
+0.0468071
+0.0478687
+0.0484109
+0.049045
+0.0497676
+0.0505731
+0.0514584
+0.0524052
+0.053425
+0.0545091
+0.0556558
+0.0568637
+0.0581291
+0.0594483
+0.0608179
+0.0622344
+0.0636872
+0.0651807
+0.0667127
+0.0682806
+0.069882
+0.0715147
+0.0731765
+0.0748588
+0.0765079
+0.0781747
+0.0798618
+0.0815729
+0.0833064
+0.085061
+0.0874498
+0.0866076
+0.0858131
+0.0850676
+0.0843576
+0.0836917
+0.0830782
+0.0825183
+0.0820132
+0.081557
+0.0811527
+0.0808059
+0.0805172
+0.0802872
+0.0801165
+0.0800055
+0.0799543
+0.0791119
+0.0772607
+0.0754121
+0.0735822
+0.0717725
+0.0699847
+0.0682203
+0.0664813
+0.0647697
+0.0630049
+0.0612443
+0.0595122
+0.0578113
+0.0561443
+0.0544873
+0.0528448
+0.0512329
+0.0496626
+0.0481407
+0.0466721
+0.045243
+0.0438532
+0.0425156
+0.0412502
+0.0400621
+0.0389147
+0.0378445
+0.0368561
+0.0359513
+0.0351501
+0.034453
+0.0338746
+0.0334113
+0.0330771
+0.0328388
+0.0327008
+0.0326692
+0.0327842
+0.0330286
+0.0333948
+0.0338796
+0.0344636
+0.0351521
+0.0359611
+0.0368439
+0.037824
+0.0389028
+0.0399799
+0.0411228
+0.0423311
+0.0436113
+0.0448708
+0.045952
+0.0463097
+0.0467675
+0.0473223
+0.0479709
+0.0487088
+0.0495313
+0.0504357
+0.0514176
+0.0524577
+0.0535663
+0.0547401
+0.0559724
+0.0572575
+0.0585964
+0.0599853
+0.0614211
+0.0628927
+0.0644046
+0.0659546
+0.0675401
+0.0691587
+0.070808
+0.0724861
+0.0741872
+0.075909
+0.0775887
+0.0792883
+0.0810114
+0.0827567
+0.0845228
+0.0878205
+0.0869819
+0.0861908
+0.0854486
+0.084742
+0.0840791
+0.0834684
+0.0829112
+0.0824084
+0.0819612
+0.0815703
+0.0812298
+0.0809426
+0.0807138
+0.0805441
+0.0804336
+0.0803827
+0.0801062
+0.0782634
+0.076439
+0.0746343
+0.0728508
+0.0710901
+0.0693538
+0.0676261
+0.0658433
+0.0640858
+0.0623557
+0.0606554
+0.0589773
+0.057296
+0.0556481
+0.0540285
+0.0524503
+0.0509176
+0.0494227
+0.0479542
+0.0465425
+0.0451929
+0.0439112
+0.0426426
+0.041447
+0.0403283
+0.0392838
+0.0383141
+0.0374446
+0.0366699
+0.036002
+0.0354326
+0.0349899
+0.0346133
+0.0343589
+0.0341993
+0.034169
+0.0342547
+0.0344589
+0.0347553
+0.0351663
+0.0357072
+0.0363721
+0.0371546
+0.0380177
+0.0389682
+0.0399711
+0.0409973
+0.0421126
+0.0433065
+0.044478
+0.0446494
+0.0449107
+0.0452767
+0.0457448
+0.0463119
+0.0469744
+0.047727
+0.0485662
+0.0494882
+0.0504885
+0.0515625
+0.0526899
+0.0538828
+0.055137
+0.0564483
+0.057813
+0.0592222
+0.060676
+0.0621653
+0.0636944
+0.0652613
+0.0668633
+0.0684979
+0.0701627
+0.0718558
+0.0735715
+0.0753116
+0.0770605
+0.0787715
+0.0805057
+0.0822617
+0.0840381
+0.088243
+0.0874085
+0.0866213
+0.0858828
+0.0851809
+0.0845215
+0.0839141
+0.0833598
+0.0828598
+0.0824149
+0.0820262
+0.0816944
+0.0814203
+0.0811973
+0.0810286
+0.0809188
+0.0808682
+0.0808769
+0.0793139
+0.0775143
+0.0757352
+0.0739782
+0.072245
+0.0704828
+0.0687042
+0.0669501
+0.0652224
+0.0635233
+0.0618108
+0.0601258
+0.0584743
+0.0568554
+0.0552712
+0.0537187
+0.0521883
+0.0507052
+0.0492749
+0.0479022
+0.0465737
+0.0452739
+0.0440408
+0.0428842
+0.0417969
+0.0407755
+0.0398393
+0.0390014
+0.038249
+0.0376008
+0.0370302
+0.0365308
+0.0361573
+0.0358957
+0.0357084
+0.0356343
+0.035685
+0.0358471
+0.0361219
+0.0365175
+0.0370386
+0.0376602
+0.0383782
+0.0392005
+0.0401229
+0.0410935
+0.0420959
+0.0431827
+0.0434199
+0.0434896
+0.0436694
+0.0439541
+0.044328
+0.0448059
+0.0453847
+0.0460605
+0.0468271
+0.0476822
+0.0486209
+0.0496387
+0.0507307
+0.0518907
+0.0531016
+0.0543738
+0.0557031
+0.0570856
+0.0585174
+0.0599928
+0.0614994
+0.0630462
+0.0646302
+0.0662488
+0.0678995
+0.0695795
+0.0712864
+0.0730164
+0.0747694
+0.0765449
+0.0783099
+0.0800511
+0.0817363
+0.0832633
+0.0887048
+0.0878747
+0.0870917
+0.0863573
+0.0856725
+0.0850181
+0.0844142
+0.0838633
+0.0833662
+0.0829241
+0.0825378
+0.0822081
+0.0819356
+0.081721
+0.0815644
+0.0814553
+0.081405
+0.0814137
+0.0804104
+0.0786359
+0.0768828
+0.0751526
+0.073359
+0.0715849
+0.0698344
+0.0681094
+0.0663757
+0.0646612
+0.0629763
+0.0613229
+0.0596937
+0.0580882
+0.0565221
+0.0549893
+0.0534942
+0.0520484
+0.0506561
+0.0492789
+0.0479551
+0.0466938
+0.0454992
+0.0443773
+0.043318
+0.0423254
+0.0414242
+0.040608
+0.0398437
+0.0391573
+0.0385708
+0.0380919
+0.0376783
+0.0373782
+0.037172
+0.0370934
+0.037122
+0.0372774
+0.0375394
+0.0379033
+0.0383837
+0.0389765
+0.0396692
+0.040447
+0.0412929
+0.042215
+0.0427154
+0.0425614
+0.0425199
+0.0425912
+0.0427746
+0.0430689
+0.0434597
+0.0439471
+0.0445371
+0.0452256
+0.0460082
+0.0468802
+0.0478366
+0.048872
+0.0499812
+0.0511598
+0.0524003
+0.0536891
+0.055035
+0.0564338
+0.0578818
+0.0593749
+0.0608979
+0.0624595
+0.064058
+0.0656907
+0.0673551
+0.0690484
+0.0707682
+0.0725133
+0.0742821
+0.0760729
+0.0778821
+0.0794886
+0.0809987
+0.0825393
+0.089218
+0.0883927
+0.0876144
+0.0868843
+0.0862038
+0.0855679
+0.0849679
+0.0844206
+0.0839269
+0.0834877
+0.083104
+0.0827766
+0.082506
+0.0822928
+0.0821376
+0.0820402
+0.0819903
+0.0819989
+0.0815511
+0.0798019
+0.0780436
+0.0762526
+0.074483
+0.0727298
+0.0709658
+0.0692262
+0.0675128
+0.0658249
+0.064163
+0.0625336
+0.0609269
+0.0593548
+0.0578207
+0.0563156
+0.0548566
+0.0534283
+0.0520279
+0.0506812
+0.049395
+0.0481706
+0.047011
+0.0459094
+0.0448867
+0.0439298
+0.0430061
+0.0421509
+0.0413868
+0.0407131
+0.0401058
+0.039589
+0.039188
+0.0388822
+0.038684
+0.038604
+0.0386093
+0.0387347
+0.0389812
+0.0393266
+0.0397897
+0.0403533
+0.0409774
+0.0417015
+0.0425222
+0.0421843
+0.0419141
+0.0417571
+0.0417148
+0.0417874
+0.0419686
+0.0422572
+0.0426566
+0.0431635
+0.0437699
+0.0444703
+0.045266
+0.046152
+0.0471233
+0.0481746
+0.049301
+0.0504973
+0.0517588
+0.0530803
+0.0544469
+0.0558605
+0.0573229
+0.0588306
+0.0603698
+0.0619448
+0.0635562
+0.0652015
+0.066878
+0.0685831
+0.0703143
+0.0720704
+0.0738498
+0.0756508
+0.0772973
+0.0787908
+0.080314
+0.0818675
+0.0897818
+0.0889617
+0.0881884
+0.0874631
+0.0867871
+0.086151
+0.0855642
+0.0850207
+0.0845305
+0.0840945
+0.0837136
+0.0833885
+0.0831199
+0.0829084
+0.0827543
+0.082658
+0.0826197
+0.082638
+0.0827046
+0.0809476
+0.0791617
+0.0773711
+0.0755884
+0.0738278
+0.0720906
+0.0703788
+0.0686884
+0.0670259
+0.0653944
+0.0637897
+0.0622129
+0.0606741
+0.0591646
+0.0576869
+0.0562308
+0.0548142
+0.0534479
+0.0521379
+0.0508862
+0.0496958
+0.0485588
+0.0474867
+0.0464356
+0.0454516
+0.0445464
+0.043701
+0.0429454
+0.0422449
+0.0416427
+0.0411453
+0.0407503
+0.0404427
+0.0402379
+0.0401269
+0.0401282
+0.0402489
+0.0404764
+0.0408078
+0.0412164
+0.0417149
+0.0423144
+0.0423466
+0.0418537
+0.0414679
+0.0411929
+0.0410332
+0.0409901
+0.0410641
+0.0412475
+0.0415412
+0.0419473
+0.0424628
+0.0430835
+0.0438052
+0.0446191
+0.0455177
+0.0465022
+0.0475673
+0.0487077
+0.0499183
+0.051194
+0.0525298
+0.0539121
+0.0553464
+0.056829
+0.0583562
+0.0599146
+0.0615038
+0.0631265
+0.0647827
+0.0664698
+0.0681851
+0.0699261
+0.0716918
+0.0734804
+0.0751695
+0.0766422
+0.0781482
+0.0796837
+0.0812492
+0.0903951
+0.0895806
+0.0888127
+0.0880926
+0.0874145
+0.0867827
+0.086202
+0.0856716
+0.0851852
+0.0847526
+0.0843746
+0.0840521
+0.0837856
+0.0835758
+0.0834229
+0.0833274
+0.0832894
+0.083309
+0.0833862
+0.0820423
+0.0802438
+0.0784653
+0.0767081
+0.0749737
+0.0732619
+0.0715715
+0.0699088
+0.068276
+0.0666726
+0.0650929
+0.0635483
+0.0620375
+0.0605302
+0.059063
+0.0576323
+0.0562491
+0.0549186
+0.0536433
+0.0524152
+0.0512059
+0.0500633
+0.0489837
+0.0479627
+0.0470042
+0.0460998
+0.0452657
+0.0444939
+0.0438181
+0.0432361
+0.0427453
+0.0423364
+0.0420183
+0.0418127
+0.0417008
+0.041702
+0.041802
+0.0420023
+0.0422781
+0.0426492
+0.0430656
+0.0423549
+0.0417472
+0.0412471
+0.0408564
+0.0405773
+0.0404152
+0.0403715
+0.0404465
+0.0406319
+0.04093
+0.0413421
+0.041865
+0.0424945
+0.043226
+0.0440544
+0.0449744
+0.0459772
+0.0470542
+0.0482068
+0.0494296
+0.0507176
+0.0520656
+0.0534599
+0.0549061
+0.0564003
+0.0579388
+0.0595182
+0.0611304
+0.0627702
+0.0644357
+0.0661317
+0.0678555
+0.0696048
+0.0713784
+0.073111
+0.07456
+0.076044
+0.0775592
+0.0791062
+0.0806829
+0.091057
+0.0902485
+0.0894863
+0.0887682
+0.0880917
+0.0874648
+0.0868887
+0.0863642
+0.0858908
+0.0854617
+0.0850869
+0.0847671
+0.0845029
+0.0842948
+0.0841433
+0.0840486
+0.0840109
+0.0840303
+0.0841069
+0.0831328
+0.0813584
+0.0796047
+0.0778732
+0.0761609
+0.0744718
+0.0728095
+0.0711756
+0.0695697
+0.067992
+0.0664427
+0.0649145
+0.0633973
+0.0619205
+0.0604778
+0.0590801
+0.0577183
+0.056384
+0.0551017
+0.0538654
+0.0526894
+0.0515797
+0.0505273
+0.0495249
+0.0485778
+0.0476744
+0.0468398
+0.0460918
+0.0454184
+0.044842
+0.044355
+0.0439424
+0.0436256
+0.0434062
+0.0432967
+0.0432952
+0.0433607
+0.0435189
+0.0437675
+0.0434067
+0.0425892
+0.0418704
+0.0412556
+0.0407494
+0.0403548
+0.0400722
+0.039908
+0.0398637
+0.0399397
+0.0401266
+0.0404284
+0.0408456
+0.0413748
+0.0420116
+0.0427514
+0.0435888
+0.0445184
+0.0455342
+0.0466214
+0.0477844
+0.0490177
+0.0503163
+0.0516751
+0.0530895
+0.0545502
+0.0560539
+0.0576017
+0.05919
+0.0608159
+0.0624762
+0.0641587
+0.0658647
+0.0675954
+0.0693512
+0.071128
+0.072548
+0.0740052
+0.0754979
+0.0770239
+0.0785814
+0.0801684
+0.0917665
+0.0909643
+0.0902081
+0.0894888
+0.0888178
+0.088196
+0.0876247
+0.0871047
+0.086637
+0.0862207
+0.0858492
+0.0855323
+0.0852704
+0.0850642
+0.084914
+0.0848202
+0.0847829
+0.0848021
+0.084878
+0.0842661
+0.0825161
+0.0807866
+0.0790749
+0.0773874
+0.0757257
+0.0740907
+0.0724832
+0.0709068
+0.0693365
+0.0677854
+0.0662695
+0.0647841
+0.0633279
+0.061882
+0.0604809
+0.0591278
+0.0578245
+0.0565679
+0.0553642
+0.0542208
+0.0531271
+0.0520834
+0.0511088
+0.0501444
+0.0492545
+0.0484405
+0.0476997
+0.0470493
+0.0464636
+0.0459658
+0.0455678
+0.0452529
+0.0450414
+0.0449273
+0.0448732
+0.0449194
+0.0449602
+0.043964
+0.0430457
+0.0422212
+0.041496
+0.0408756
+0.0403646
+0.0399671
+0.0396818
+0.039516
+0.0394712
+0.039548
+0.0397358
+0.0400405
+0.0404618
+0.0409959
+0.0416385
+0.0423848
+0.0432293
+0.0441664
+0.0451901
+0.0462855
+0.0474567
+0.0486983
+0.0500052
+0.0513722
+0.0527948
+0.0542685
+0.0557894
+0.0573463
+0.0589416
+0.0605741
+0.0622408
+0.0639392
+0.065662
+0.0674054
+0.0691661
+0.0706124
+0.0720421
+0.0735093
+0.0750118
+0.0765475
+0.0781145
+0.0797109
+0.0925211
+0.0917255
+0.09097
+0.0902568
+0.0895915
+0.0889752
+0.0884089
+0.0878936
+0.0874301
+0.0870193
+0.0866602
+0.0863462
+0.0860869
+0.0858826
+0.0857339
+0.0856409
+0.085604
+0.0856231
+0.0856982
+0.0854405
+0.0837116
+0.0820025
+0.0803168
+0.0786559
+0.0770202
+0.0754115
+0.0738109
+0.0722229
+0.0706673
+0.0691443
+0.0676431
+0.0661465
+0.0646894
+0.0632746
+0.0619051
+0.0605833
+0.0593043
+0.0580796
+0.056908
+0.0557737
+0.0546928
+0.0536655
+0.0526579
+0.0517185
+0.0508562
+0.0500572
+0.0493249
+0.0486736
+0.048099
+0.0476183
+0.0472292
+0.0469245
+0.0466953
+0.0465339
+0.0464751
+0.0457981
+0.0447192
+0.0437175
+0.0427939
+0.0419645
+0.0412348
+0.0406104
+0.040096
+0.0396961
+0.0394094
+0.0392424
+0.0391974
+0.0392747
+0.0394629
+0.0397698
+0.0401938
+0.0407314
+0.0413782
+0.0421291
+0.0429786
+0.0439211
+0.0449504
+0.0460514
+0.0472284
+0.0484759
+0.0497886
+0.0511614
+0.0525897
+0.054069
+0.0555954
+0.0571649
+0.0587738
+0.0604108
+0.0620819
+0.0637846
+0.0655162
+0.0672744
+0.0687618
+0.0701609
+0.0715996
+0.0730757
+0.074587
+0.0761312
+0.0777066
+0.0793112
+0.0933156
+0.0925268
+0.0917779
+0.091071
+0.0904118
+0.0898011
+0.08924
+0.0887295
+0.0882704
+0.0878635
+0.0875097
+0.0872076
+0.0869509
+0.0867486
+0.0866014
+0.0865094
+0.0864728
+0.0864917
+0.086566
+0.0866486
+0.0849421
+0.0832583
+0.0815985
+0.0799623
+0.078336
+0.0767167
+0.0751263
+0.0735668
+0.0720328
+0.0704934
+0.068989
+0.0675222
+0.0660955
+0.0647115
+0.0633729
+0.0620746
+0.0608269
+0.0596336
+0.0584646
+0.0573507
+0.0562705
+0.0552184
+0.0542344
+0.0533195
+0.0524658
+0.051679
+0.0509682
+0.0503326
+0.0497771
+0.0493128
+0.0489254
+0.0485809
+0.0483266
+0.0480579
+0.0468264
+0.0456668
+0.0445847
+0.0435799
+0.0426533
+0.0418211
+0.0410889
+0.0404622
+0.039946
+0.0395445
+0.0392576
+0.03909
+0.0390448
+0.0391224
+0.0393104
+0.0396184
+0.0400441
+0.0405837
+0.0412328
+0.0419863
+0.0428386
+0.0437841
+0.0448166
+0.0459208
+0.0471011
+0.0483519
+0.0496678
+0.0510439
+0.0524754
+0.0539578
+0.0554872
+0.0570597
+0.0586719
+0.0603205
+0.0620001
+0.0637049
+0.0654387
+0.0670035
+0.0683683
+0.0697753
+0.0712218
+0.0727056
+0.0742243
+0.075776
+0.0773586
+0.0789703
+0.0941544
+0.0933727
+0.0926306
+0.0919303
+0.0912772
+0.0906723
+0.0901167
+0.0896112
+0.0891566
+0.0887538
+0.0884035
+0.0881063
+0.087861
+0.0876609
+0.0875151
+0.0874241
+0.0873879
+0.0874066
+0.0874801
+0.0876084
+0.0862108
+0.084552
+0.0829036
+0.0812572
+0.0796369
+0.0780446
+0.0764688
+0.0749042
+0.0733638
+0.0718527
+0.0703774
+0.0689401
+0.0675434
+0.0661896
+0.0648747
+0.0636064
+0.0623812
+0.0611866
+0.0600424
+0.0589121
+0.0578255
+0.0568027
+0.0558452
+0.0549434
+0.0541082
+0.0533397
+0.0526513
+0.052031
+0.0514832
+0.0509978
+0.0505861
+0.0502465
+0.0493315
+0.0480328
+0.0468006
+0.0456403
+0.0445576
+0.0435522
+0.042625
+0.0417922
+0.0410594
+0.0404321
+0.0399151
+0.0395127
+0.0392274
+0.0390598
+0.0390145
+0.0390918
+0.0392797
+0.0395879
+0.0400139
+0.0405539
+0.0412035
+0.0419575
+0.0428104
+0.0437565
+0.0447896
+0.0458945
+0.0470754
+0.0483269
+0.0496435
+0.0510202
+0.0524524
+0.0539355
+0.0554654
+0.0570385
+0.0586513
+0.0603005
+0.0619833
+0.0636969
+0.0653435
+0.0666716
+0.0680431
+0.0694566
+0.0709097
+0.0723998
+0.0739249
+0.0754827
+0.0770714
+0.0786889
+0.0950362
+0.0942619
+0.0935268
+0.0928333
+0.0921866
+0.0915878
+0.0910377
+0.0905373
+0.0900874
+0.0896888
+0.0893422
+0.0890481
+0.0888071
+0.0886177
+0.0884736
+0.0883835
+0.0883477
+0.0883662
+0.0884389
+0.0879643
+0.0863054
+0.0846706
+0.0830614
+0.0814794
+0.0799261
+0.0784032
+0.0769126
+0.0754561
+0.0740359
+0.0726539
+0.0713102
+0.0700084
+0.0687518
+0.0675428
+0.0663841
+0.0651549
+0.0639384
+0.0627558
+0.0615881
+0.0604703
+0.0594122
+0.0584171
+0.0574802
+0.0566026
+0.0557826
+0.0550375
+0.0543592
+0.0537214
+0.0531662
+0.0526851
+0.0521774
+0.0507625
+0.0494043
+0.0481075
+0.0468773
+0.0457189
+0.0446321
+0.0436172
+0.0426906
+0.0418582
+0.0411258
+0.0404988
+0.0399822
+0.0395802
+0.0392959
+0.0391284
+0.0390832
+0.0391608
+0.0393531
+0.0396653
+0.0400948
+0.0406381
+0.0412901
+0.042043
+0.0428943
+0.0438386
+0.0448697
+0.0459727
+0.0471517
+0.0484011
+0.0497158
+0.0510906
+0.0525208
+0.054002
+0.0555302
+0.0571015
+0.0587125
+0.06036
+0.0620412
+0.0637533
+0.0650573
+0.0664038
+0.0677858
+0.0692045
+0.0706628
+0.072158
+0.0736881
+0.0752508
+0.0768442
+0.0784665
+0.09596
+0.0951932
+0.0944635
+0.0937769
+0.0931368
+0.0925441
+0.0919997
+0.0915046
+0.0910595
+0.0906652
+0.0903223
+0.0900314
+0.089793
+0.0896076
+0.0894651
+0.0893761
+0.0893406
+0.0893589
+0.0894309
+0.088007
+0.0863488
+0.0847149
+0.0831066
+0.0815254
+0.079973
+0.078451
+0.0769614
+0.0755058
+0.0740865
+0.0727055
+0.0713628
+0.070062
+0.0688063
+0.0675983
+0.0664406
+0.0653359
+0.0642868
+0.0632962
+0.0623669
+0.0615016
+0.060703
+0.0599739
+0.0591483
+0.0582877
+0.0574861
+0.0567331
+0.0560385
+0.05542
+0.0548612
+0.0537949
+0.052332
+0.0509214
+0.0495675
+0.0482751
+0.0470493
+0.0458925
+0.044799
+0.0437879
+0.042865
+0.0420361
+0.0413069
+0.0406827
+0.0401684
+0.0397683
+0.0394845
+0.0393179
+0.0392729
+0.0393501
+0.0395423
+0.0398529
+0.0402805
+0.0408214
+0.041471
+0.0422244
+0.0430762
+0.0440206
+0.0450518
+0.0461548
+0.0473293
+0.0485742
+0.0498843
+0.0512546
+0.0526803
+0.0541572
+0.0556811
+0.0572482
+0.0588552
+0.0604989
+0.0621763
+0.06354
+0.064844
+0.0661948
+0.0675806
+0.0690036
+0.070466
+0.0719653
+0.0734994
+0.0750661
+0.0766629
+0.0782843
+0.0969245
+0.0961654
+0.0954408
+0.0947612
+0.0941278
+0.0935414
+0.0930028
+0.0925131
+0.0920729
+0.0916829
+0.0913438
+0.0910562
+0.0908205
+0.0906372
+0.0904989
+0.0904108
+0.0903758
+0.0903939
+0.0897832
+0.088104
+0.0864478
+0.0848157
+0.0832094
+0.0816302
+0.0800798
+0.0785599
+0.0770724
+0.075619
+0.0742018
+0.072823
+0.0714825
+0.0701839
+0.0689304
+0.0677247
+0.0665692
+0.0654666
+0.0644197
+0.0634312
+0.0625038
+0.0616404
+0.0608437
+0.0601163
+0.0594542
+0.0588608
+0.0583437
+0.057905
+0.0575463
+0.0570762
+0.0555271
+0.0540223
+0.0525658
+0.0511616
+0.0498143
+0.0485285
+0.0473092
+0.0461589
+0.0450719
+0.044067
+0.0431501
+0.0423268
+0.0416026
+0.040983
+0.0404725
+0.0400754
+0.0397931
+0.0396277
+0.0395831
+0.0396597
+0.0398511
+0.0401594
+0.0405838
+0.0411206
+0.0417656
+0.0425138
+0.0433599
+0.0442983
+0.0453232
+0.0464289
+0.0476072
+0.048845
+0.050148
+0.0515113
+0.0529301
+0.0544002
+0.0559174
+0.0574782
+0.0590789
+0.0607165
+0.0621402
+0.0633973
+0.06469
+0.06603
+0.0674145
+0.068841
+0.0703067
+0.0718094
+0.0733467
+0.0749166
+0.0765141
+0.0781375
+0.0979097
+0.0971749
+0.0964579
+0.0957855
+0.0951589
+0.0945789
+0.0940463
+0.093562
+0.0931268
+0.0927412
+0.092406
+0.0921217
+0.0918888
+0.0917076
+0.0915734
+0.0914864
+0.0914518
+0.0914696
+0.0899318
+0.0882554
+0.0866021
+0.084973
+0.0833697
+0.0817936
+0.0802464
+0.0787297
+0.0772454
+0.0757953
+0.0743815
+0.0730061
+0.071669
+0.0703738
+0.0691238
+0.0679215
+0.0667694
+0.0656702
+0.0646266
+0.0636413
+0.062717
+0.0618566
+0.0610627
+0.0603344
+0.0596759
+0.0590872
+0.0585721
+0.058135
+0.0577778
+0.0573744
+0.0558334
+0.0543372
+0.0528893
+0.051494
+0.0501556
+0.0488787
+0.0476684
+0.046527
+0.0454488
+0.0444525
+0.0435437
+0.0427279
+0.0420107
+0.0413971
+0.0408918
+0.0404989
+0.0402187
+0.0400551
+0.040011
+0.0400867
+0.0402769
+0.040582
+0.041002
+0.0415334
+0.0421721
+0.0429132
+0.0437516
+0.0446817
+0.045698
+0.0467949
+0.0479668
+0.0492044
+0.0504981
+0.0518522
+0.0532619
+0.0547231
+0.0562317
+0.0577839
+0.0593764
+0.0608502
+0.0620413
+0.0632857
+0.0645806
+0.0659228
+0.0673095
+0.0687381
+0.0702061
+0.0717108
+0.0732503
+0.0748221
+0.0764216
+0.0780469
+0.0986421
+0.0982229
+0.0975136
+0.0968486
+0.0962289
+0.0956553
+0.0951288
+0.09465
+0.0942198
+0.0938388
+0.0935075
+0.0932265
+0.0929964
+0.0928173
+0.0926872
+0.0926012
+0.092567
+0.0918277
+0.0901334
+0.0884608
+0.0868114
+0.0851863
+0.0835871
+0.0820152
+0.0804722
+0.0789599
+0.07748
+0.0760344
+0.0746251
+0.0732543
+0.0719218
+0.0706313
+0.0693859
+0.0681882
+0.0670406
+0.065946
+0.0649068
+0.0639258
+0.0630026
+0.0621411
+0.0613457
+0.0606191
+0.0599638
+0.0593821
+0.0588762
+0.058444
+0.0580886
+0.0577541
+0.0562236
+0.054738
+0.053301
+0.0519168
+0.0505895
+0.0493239
+0.0481248
+0.0469945
+0.0459273
+0.0449415
+0.0440428
+0.0432365
+0.0425279
+0.0419218
+0.041423
+0.0410351
+0.0407579
+0.0405965
+0.0405529
+0.0406276
+0.0408161
+0.0411171
+0.0415317
+0.0420564
+0.0426873
+0.0434196
+0.0442484
+0.0451683
+0.0461739
+0.0472597
+0.0484204
+0.0496467
+0.0509292
+0.0522721
+0.0536708
+0.0551211
+0.0566191
+0.058161
+0.0596778
+0.0608129
+0.0620046
+0.0632498
+0.0645454
+0.0658883
+0.0672757
+0.0687051
+0.0701737
+0.0716791
+0.0732192
+0.0747917
+0.0763918
+0.0780178
+0.0994175
+0.0991842
+0.0986066
+0.0979491
+0.0973364
+0.0967694
+0.096249
+0.0957758
+0.0953507
+0.0949741
+0.0946469
+0.0943693
+0.0941419
+0.0939651
+0.0938389
+0.093754
+0.0937203
+0.0920772
+0.0903876
+0.0887199
+0.0870753
+0.0854553
+0.0838611
+0.0822945
+0.0807569
+0.07925
+0.0777756
+0.0763356
+0.074932
+0.0735668
+0.0722402
+0.0709554
+0.0697158
+0.0685239
+0.0673821
+0.0662903
+0.0652518
+0.0642712
+0.0633511
+0.0624944
+0.0617036
+0.0609812
+0.0603299
+0.0597517
+0.059249
+0.0588195
+0.0584664
+0.0581938
+0.0566958
+0.0552229
+0.0537989
+0.0524277
+0.0511138
+0.0498615
+0.0486756
+0.0475584
+0.0465041
+0.0455309
+0.044644
+0.0438487
+0.0431502
+0.042553
+0.0420616
+0.0416796
+0.041406
+0.0412472
+0.0412043
+0.0412778
+0.0414641
+0.0417604
+0.0421687
+0.0426856
+0.0433073
+0.0440293
+0.0448468
+0.0457547
+0.0467477
+0.0478205
+0.0489678
+0.0501807
+0.0514499
+0.0527796
+0.0541652
+0.0556026
+0.057088
+0.0586175
+0.0597201
+0.0608544
+0.0620453
+0.0632897
+0.0645845
+0.0659266
+0.0673133
+0.0687418
+0.0702096
+0.0717144
+0.0732537
+0.0748255
+0.0764249
+0.0780501
+0.100235
+0.100003
+0.0997359
+0.0990858
+0.0984802
+0.0979198
+0.0974055
+0.096938
+0.096518
+0.0961461
+0.0958228
+0.0955486
+0.095324
+0.0951494
+0.0950249
+0.0949434
+0.094083
+0.0923781
+0.090694
+0.0890321
+0.0873934
+0.0857793
+0.0841914
+0.082631
+0.0810997
+0.0795993
+0.0781315
+0.0766982
+0.0753014
+0.073943
+0.0726232
+0.0713454
+0.0701104
+0.0689207
+0.0677809
+0.0666936
+0.0656615
+0.0646871
+0.0637731
+0.0629221
+0.0621367
+0.0614194
+0.0607727
+0.0601989
+0.0596999
+0.0592737
+0.0589233
+0.0586528
+0.0572479
+0.0557896
+0.0543804
+0.0530244
+0.0517256
+0.0504884
+0.0493176
+0.0482153
+0.0471757
+0.0462166
+0.0453432
+0.0445604
+0.0438731
+0.0432859
+0.042803
+0.0424269
+0.0421582
+0.0420022
+0.0419601
+0.0420323
+0.0422159
+0.042507
+0.0429082
+0.0434163
+0.0440277
+0.0447381
+0.0455429
+0.0464371
+0.0474158
+0.0484738
+0.0496061
+0.0508038
+0.0520578
+0.0533723
+0.0547429
+0.0561655
+0.0576364
+0.0587704
+0.0598426
+0.0609746
+0.0621633
+0.0634054
+0.0646978
+0.0660376
+0.067422
+0.0688483
+0.0703139
+0.0718164
+0.0733536
+0.0749233
+0.0765207
+0.0781439
+0.101093
+0.100863
+0.100681
+0.100258
+0.099659
+0.0991053
+0.0985972
+0.0981354
+0.0977205
+0.0973531
+0.0970339
+0.0967632
+0.0965414
+0.096369
+0.0962461
+0.0961467
+0.0944282
+0.0927296
+0.0910521
+0.0893967
+0.0877649
+0.0861578
+0.0845769
+0.0830238
+0.0814999
+0.080007
+0.0785468
+0.0771212
+0.0757322
+0.0743808
+0.0730637
+0.0717893
+0.0705599
+0.0693779
+0.0682458
+0.067166
+0.0661412
+0.065174
+0.0642669
+0.0634226
+0.0626434
+0.0619321
+0.0612908
+0.0607218
+0.0602272
+0.0598047
+0.0594575
+0.0591894
+0.0578778
+0.0564357
+0.0550431
+0.0537038
+0.0524218
+0.0512015
+0.0500474
+0.0489615
+0.0479381
+0.0469945
+0.0461358
+0.0453667
+0.0446919
+0.0441156
+0.0436418
+0.0432723
+0.0430089
+0.042856
+0.0428147
+0.0428855
+0.0430662
+0.0433516
+0.043745
+0.0442435
+0.0448436
+0.0455413
+0.0463321
+0.0472114
+0.0481744
+0.0492161
+0.0503317
+0.0515125
+0.0527496
+0.0540473
+0.0554012
+0.0568074
+0.057971
+0.0589764
+0.0600448
+0.0611731
+0.062358
+0.0635963
+0.0648849
+0.066221
+0.0676016
+0.0690242
+0.0704861
+0.0719851
+0.0735187
+0.075085
+0.0766789
+0.0782989
+0.101991
+0.101763
+0.101583
+0.101449
+0.100872
+0.100325
+0.0998228
+0.0993666
+0.0989569
+0.0985942
+0.0982789
+0.0980116
+0.0977927
+0.0976225
+0.0975012
+0.0965247
+0.094813
+0.0931215
+0.0914512
+0.0898032
+0.0881788
+0.0865794
+0.0850064
+0.0834612
+0.0819455
+0.0804609
+0.0790091
+0.077592
+0.0762115
+0.0748688
+0.0735604
+0.0722948
+0.0710741
+0.0699008
+0.0687773
+0.067706
+0.0666896
+0.0657304
+0.0648311
+0.0639942
+0.0632221
+0.0625173
+0.0618821
+0.0613186
+0.0608288
+0.0604106
+0.0600668
+0.0598015
+0.0585828
+0.0571586
+0.055784
+0.0544629
+0.0531992
+0.0519972
+0.0508611
+0.049793
+0.048787
+0.0478602
+0.0470173
+0.0462629
+0.0456013
+0.0450366
+0.0445726
+0.0442102
+0.0439524
+0.0438028
+0.0437624
+0.0438317
+0.0440092
+0.0442885
+0.0446737
+0.0451619
+0.04575
+0.046434
+0.0472099
+0.0480732
+0.0490192
+0.0500434
+0.0511409
+0.0523034
+0.0535223
+0.0548017
+0.0561374
+0.0573256
+0.0582597
+0.0592602
+0.0603236
+0.0614468
+0.0626265
+0.0638596
+0.065143
+0.0664738
+0.0678493
+0.0692668
+0.0707238
+0.0722178
+0.0737466
+0.0753081
+0.0768993
+0.0785148
+0.102928
+0.102702
+0.102523
+0.102391
+0.102112
+0.101572
+0.101076
+0.100626
+0.100221
+0.0998628
+0.0995516
+0.0992877
+0.0990716
+0.0989036
+0.0986739
+0.0969507
+0.0952468
+0.0935631
+0.0919007
+0.090261
+0.088645
+0.0870542
+0.0854899
+0.0839536
+0.0824469
+0.0809715
+0.079529
+0.0781214
+0.0767504
+0.0754173
+0.0741186
+0.0728626
+0.0716517
+0.070488
+0.069374
+0.0683121
+0.0673047
+0.0663545
+0.0654637
+0.064635
+0.0638707
+0.0631731
+0.0625446
+0.0619871
+0.0615026
+0.061089
+0.0607491
+0.0604867
+0.0593604
+0.0579553
+0.0566001
+0.0552984
+0.0540543
+0.0528717
+0.0517548
+0.0507055
+0.049718
+0.0488089
+0.0479827
+0.0472436
+0.046596
+0.0460435
+0.0455898
+0.0452349
+0.0449829
+0.0448367
+0.0447973
+0.044865
+0.0450391
+0.0453121
+0.0456886
+0.0461661
+0.0467415
+0.0474113
+0.0481714
+0.0490178
+0.0499459
+0.0509514
+0.0520298
+0.0531729
+0.0543723
+0.0556321
+0.0568178
+0.0576872
+0.0586156
+0.05961
+0.0606674
+0.0617843
+0.0629577
+0.0641844
+0.0654614
+0.0667859
+0.0681551
+0.0695664
+0.0710172
+0.0725051
+0.074028
+0.0755837
+0.0771703
+0.0787858
+0.103902
+0.103679
+0.103502
+0.10337
+0.103285
+0.102848
+0.102359
+0.101914
+0.101515
+0.101161
+0.100854
+0.100593
+0.10038
+0.100214
+0.0991391
+0.0974242
+0.0957287
+0.0940536
+0.0924001
+0.0907693
+0.0891626
+0.0875811
+0.0860264
+0.0844999
+0.0830032
+0.0815378
+0.0801055
+0.0787082
+0.0773476
+0.076025
+0.0747368
+0.0734914
+0.072291
+0.0711378
+0.0700341
+0.0689824
+0.067985
+0.0670443
+0.0661629
+0.065343
+0.0645871
+0.0638973
+0.063276
+0.062725
+0.0622463
+0.0618376
+0.0615019
+0.0612427
+0.0602077
+0.0588228
+0.057488
+0.056207
+0.0549834
+0.0538212
+0.0527245
+0.0516948
+0.0507266
+0.0498359
+0.049027
+0.0483039
+0.0476707
+0.0471308
+0.0466876
+0.0463405
+0.0460946
+0.0459519
+0.0459135
+0.0459795
+0.0461495
+0.0464165
+0.0467841
+0.0472506
+0.0478129
+0.0484679
+0.0492117
+0.0500405
+0.05095
+0.0519361
+0.0529944
+0.0541171
+0.0552961
+0.0564532
+0.0572503
+0.058119
+0.0590506
+0.0600378
+0.0610877
+0.0621971
+0.0633629
+0.0645819
+0.0658512
+0.067168
+0.0685296
+0.0699333
+0.0713766
+0.0728572
+0.0743729
+0.0759216
+0.0775012
+0.0791099
+0.104913
+0.104692
+0.104517
+0.104387
+0.104303
+0.104155
+0.103672
+0.103233
+0.102839
+0.10249
+0.102186
+0.101929
+0.101719
+0.101375
+0.0996504
+0.0979444
+0.096258
+0.0945923
+0.0929484
+0.0913274
+0.0897306
+0.0881594
+0.0866151
+0.0850991
+0.0836131
+0.0821586
+0.0807374
+0.0793511
+0.0780018
+0.0766904
+0.0754137
+0.0741796
+0.0729905
+0.0718485
+0.0707559
+0.0697151
+0.0687283
+0.067798
+0.0669265
+0.0661161
+0.0653691
+0.0646877
+0.064074
+0.0635299
+0.0630573
+0.062654
+0.0623226
+0.0620669
+0.0611218
+0.0597581
+0.0584447
+0.0571851
+0.0559829
+0.0548419
+0.0537659
+0.0527566
+0.0518082
+0.0509365
+0.0501453
+0.0494386
+0.0488201
+0.0482931
+0.0478603
+0.0475214
+0.0472816
+0.0471426
+0.0471051
+0.0471694
+0.0473352
+0.0475962
+0.0479548
+0.04841
+0.048959
+0.0495988
+0.0503259
+0.0511366
+0.052027
+0.052993
+0.0540307
+0.0551323
+0.0562483
+0.0569727
+0.0577626
+0.0586238
+0.0595531
+0.0605419
+0.0615832
+0.0626839
+0.0638407
+0.0650508
+0.0663111
+0.067619
+0.0689716
+0.0703665
+0.0718011
+0.0732732
+0.0747804
+0.0763208
+0.0778923
+0.0794932
+0.10596
+0.105741
+0.105567
+0.105439
+0.105356
+0.105318
+0.105014
+0.104581
+0.104192
+0.103847
+0.103548
+0.103294
+0.103087
+0.101922
+0.100207
+0.0985105
+0.096834
+0.0951784
+0.0935448
+0.0919343
+0.0903483
+0.088788
+0.0872548
+0.0857501
+0.0842756
+0.0828327
+0.0814232
+0.0800489
+0.0787115
+0.0774122
+0.0761475
+0.0749256
+0.0737485
+0.0726184
+0.0715376
+0.0705083
+0.0695328
+0.0686134
+0.0677523
+0.0669519
+0.0662144
+0.0655418
+0.0649361
+0.0643993
+0.0639332
+0.0635354
+0.0632087
+0.0629565
+0.0620997
+0.060758
+0.0594667
+0.0582292
+0.057049
+0.0559297
+0.0548751
+0.0538866
+0.0529584
+0.0521059
+0.0513328
+0.0506427
+0.050039
+0.049525
+0.0491025
+0.0487722
+0.0485386
+0.0484032
+0.0483666
+0.0484293
+0.0485908
+0.0488457
+0.0491952
+0.049639
+0.0501746
+0.0507991
+0.0515093
+0.0523016
+0.0531725
+0.0541181
+0.0551345
+0.0561894
+0.0568542
+0.0575709
+0.0583527
+0.0592053
+0.0601257
+0.0611108
+0.0621521
+0.0632428
+0.0643896
+0.0655895
+0.0668397
+0.0681374
+0.06948
+0.0708649
+0.0722896
+0.0737519
+0.0752496
+0.0767805
+0.0783428
+0.0799346
+0.107042
+0.106825
+0.106653
+0.106526
+0.106443
+0.106406
+0.106385
+0.105957
+0.105573
+0.105233
+0.104938
+0.104688
+0.103731
+0.102308
+0.100808
+0.0991219
+0.0974559
+0.095811
+0.0941883
+0.0925891
+0.0910145
+0.0894658
+0.0879444
+0.0864518
+0.0849894
+0.0835589
+0.0821618
+0.0808001
+0.0794753
+0.0781887
+0.0769368
+0.0757276
+0.0745631
+0.0734456
+0.0723771
+0.0713599
+0.0703962
+0.0694882
+0.0686382
+0.0678482
+0.0671205
+0.0664571
+0.0658599
+0.0653307
+0.0648712
+0.0644776
+0.0641557
+0.0639073
+0.0631386
+0.0618194
+0.0605507
+0.0593358
+0.0581781
+0.057081
+0.056048
+0.0550806
+0.0541729
+0.0533397
+0.0525848
+0.0519113
+0.0513226
+0.0508215
+0.0504093
+0.0500876
+0.0498602
+0.0497283
+0.0496928
+0.0497538
+0.049911
+0.0501598
+0.0505002
+0.0509326
+0.0514547
+0.0520639
+0.0527571
+0.053531
+0.0543821
+0.055307
+0.0563011
+0.0568803
+0.0575371
+0.0582454
+0.0590183
+0.0598615
+0.0607719
+0.0617466
+0.0627827
+0.063872
+0.0650076
+0.0661964
+0.0674353
+0.0687218
+0.0700532
+0.071427
+0.0728407
+0.0742921
+0.0757791
+0.0772996
+0.0788516
+0.0804334
+0.108157
+0.107942
+0.107772
+0.107646
+0.107564
+0.107527
+0.107535
+0.107361
+0.106982
+0.106646
+0.106355
+0.105562
+0.104118
+0.102699
+0.101255
+0.0997776
+0.0981227
+0.0964892
+0.0948782
+0.0932907
+0.0917282
+0.0901917
+0.0886828
+0.0872028
+0.0857532
+0.0843357
+0.0829517
+0.0816031
+0.0802917
+0.0790183
+0.0777798
+0.0765839
+0.0754326
+0.0743282
+0.0732726
+0.072268
+0.0713165
+0.0704204
+0.0695818
+0.0688026
+0.0680851
+0.0674312
+0.0668427
+0.0663213
+0.0658669
+0.0654786
+0.0651616
+0.0649171
+0.0642353
+0.0629391
+0.0616935
+0.0605016
+0.0593666
+0.0582918
+0.0572807
+0.0563345
+0.0554473
+0.0546336
+0.0538967
+0.0532399
+0.052666
+0.0521779
+0.0517758
+0.0514627
+0.0512414
+0.0511131
+0.0510785
+0.0511378
+0.0512908
+0.0515335
+0.0518649
+0.0522861
+0.0527948
+0.0533887
+0.0540649
+0.0548203
+0.0556518
+0.0565559
+0.0570748
+0.0576462
+0.0582944
+0.0589937
+0.0597569
+0.0605897
+0.0614894
+0.0624529
+0.0634775
+0.0645602
+0.065693
+0.0668696
+0.0680963
+0.0693705
+0.0706897
+0.0720513
+0.073453
+0.0748926
+0.0763679
+0.0778769
+0.0794176
+0.0809883
+0.109304
+0.109092
+0.108924
+0.108799
+0.108718
+0.108682
+0.108689
+0.108741
+0.108416
+0.108085
+0.107451
+0.105987
+0.104548
+0.103136
+0.101716
+0.100264
+0.0988336
+0.0972121
+0.0956132
+0.0940382
+0.0924882
+0.0909647
+0.0894688
+0.088002
+0.0865658
+0.0851618
+0.0837914
+0.0824566
+0.0811589
+0.0798994
+0.0786747
+0.0774926
+0.0763551
+0.0752642
+0.0742219
+0.0732303
+0.0722916
+0.0714077
+0.0705807
+0.0698128
+0.0691058
+0.0684616
+0.067882
+0.0673687
+0.0669188
+0.0665367
+0.0662247
+0.0659841
+0.0653871
+0.0641142
+0.0628919
+0.0617231
+0.060611
+0.0595587
+0.0585695
+0.0576443
+0.0567776
+0.0559833
+0.0552644
+0.054624
+0.0540648
+0.0535894
+0.0531975
+0.0528928
+0.0526775
+0.0525527
+0.0525191
+0.0525768
+0.0527255
+0.0529623
+0.0532848
+0.0536948
+0.0541903
+0.0547691
+0.0554284
+0.0561655
+0.0569773
+0.057426
+0.0579112
+0.0584744
+0.0591135
+0.0598128
+0.0605657
+0.0613876
+0.0622757
+0.0632273
+0.0642395
+0.0653095
+0.0664346
+0.0676071
+0.0688206
+0.0700817
+0.0713877
+0.0727363
+0.074125
+0.0755518
+0.0770145
+0.078511
+0.0800396
+0.0815983
+0.110483
+0.110273
+0.110107
+0.109983
+0.109904
+0.109867
+0.109875
+0.109926
+0.109875
+0.109395
+0.107913
+0.106455
+0.105023
+0.103617
+0.102222
+0.100778
+0.0993545
+0.0979597
+0.0963924
+0.0948304
+0.0932936
+0.0917834
+0.090301
+0.088848
+0.0874257
+0.0860357
+0.0846795
+0.0833589
+0.0820755
+0.0808302
+0.0796199
+0.0784521
+0.0773287
+0.0762517
+0.075223
+0.0742448
+0.0733191
+0.0724477
+0.0716328
+0.0708762
+0.0701799
+0.0695457
+0.0689752
+0.0684691
+0.0680251
+0.0676491
+0.0673424
+0.0671058
+0.0665911
+0.0653417
+0.0641427
+0.0629971
+0.0619079
+0.060878
+0.0599106
+0.0590065
+0.0581601
+0.0573849
+0.0566838
+0.0560596
+0.0555149
+0.055052
+0.05467
+0.0543735
+0.0541641
+0.0540428
+0.0540101
+0.0540662
+0.0542109
+0.0544417
+0.0547555
+0.0551546
+0.0556371
+0.056201
+0.0568437
+0.0575627
+0.057939
+0.0583376
+0.0588152
+0.0593699
+0.0599995
+0.0607
+0.061442
+0.0622523
+0.0631283
+0.0640672
+0.0650663
+0.066123
+0.0672345
+0.068398
+0.0696064
+0.0708535
+0.0721455
+0.0734802
+0.0748552
+0.0762683
+0.0777175
+0.0792007
+0.0807162
+0.0822621
+0.111693
+0.111485
+0.11132
+0.111198
+0.111119
+0.111084
+0.111091
+0.111141
+0.111226
+0.109893
+0.108418
+0.106967
+0.105541
+0.104143
+0.102771
+0.101336
+0.0999205
+0.0985338
+0.0971767
+0.0956662
+0.094143
+0.0926467
+0.0911784
+0.0897395
+0.0883316
+0.0869561
+0.0856145
+0.0843085
+0.0830398
+0.0818092
+0.0806135
+0.0794603
+0.0783514
+0.0772886
+0.076274
+0.0753094
+0.0743969
+0.0735384
+0.0727356
+0.0719907
+0.0713053
+0.0706811
+0.0701199
+0.0696197
+0.069183
+0.0688134
+0.0685119
+0.0682793
+0.0678445
+0.0666185
+0.065443
+0.0643205
+0.0632541
+0.0622465
+0.0613007
+0.0604174
+0.059591
+0.0588347
+0.0581511
+0.0575428
+0.0570123
+0.0565612
+0.0561893
+0.0559009
+0.0556973
+0.0555793
+0.0555475
+0.055602
+0.0557427
+0.0559678
+0.0562731
+0.0566615
+0.0571313
+0.0576805
+0.058307
+0.0586114
+0.0589241
+0.0593161
+0.0597859
+0.0603317
+0.0609513
+0.0616426
+0.062383
+0.0631812
+0.0640445
+0.0649701
+0.0659556
+0.0669983
+0.0680954
+0.0692445
+0.070443
+0.0716789
+0.0729592
+0.074281
+0.0756414
+0.0770401
+0.078475
+0.0799442
+0.0814459
+0.0829782
+0.112932
+0.112727
+0.112564
+0.112443
+0.112365
+0.11233
+0.112329
+0.112371
+0.111923
+0.110432
+0.108964
+0.10752
+0.106102
+0.104711
+0.103347
+0.101938
+0.100531
+0.099153
+0.0978044
+0.0964868
+0.0950354
+0.0935533
+0.0920995
+0.0906752
+0.0892821
+0.0879214
+0.0865948
+0.0853038
+0.0840501
+0.0828345
+0.0816539
+0.0805155
+0.0794213
+0.0783731
+0.0773727
+0.076422
+0.0755229
+0.0746773
+0.073887
+0.0731537
+0.0724793
+0.0718654
+0.0713132
+0.0708193
+0.0703901
+0.0700269
+0.0697306
+0.0695021
+0.0691445
+0.067942
+0.0667898
+0.0656904
+0.0646465
+0.063661
+0.0627365
+0.0618737
+0.0610671
+0.0603292
+0.0596627
+0.05907
+0.0585533
+0.0581137
+0.0577518
+0.0574713
+0.0572732
+0.0571584
+0.0571275
+0.0571806
+0.0573174
+0.0575369
+0.0578339
+0.0582118
+0.0586692
+0.0592042
+0.0594378
+0.0596659
+0.0599731
+0.0603583
+0.0608201
+0.0613566
+0.061966
+0.0626461
+0.0633857
+0.0641715
+0.0650216
+0.0659335
+0.0669048
+0.0679329
+0.0690152
+0.0701493
+0.0713325
+0.0725533
+0.0738184
+0.075126
+0.0764741
+0.0778585
+0.0792787
+0.0807333
+0.0822205
+0.0837386
+0.1142
+0.113997
+0.113835
+0.113716
+0.113633
+0.11359
+0.113589
+0.11363
+0.112495
+0.111011
+0.109551
+0.108115
+0.106705
+0.105322
+0.103965
+0.102578
+0.101186
+0.0998164
+0.0984769
+0.0971684
+0.0958921
+0.094502
+0.093063
+0.0916537
+0.0902757
+0.0889302
+0.0876189
+0.0863432
+0.0851048
+0.0839045
+0.0827392
+0.081616
+0.0805367
+0.0795032
+0.0785172
+0.0775805
+0.076695
+0.0758625
+0.0750846
+0.0743632
+0.0736998
+0.0730961
+0.072551
+0.0720656
+0.0716439
+0.071287
+0.070996
+0.0707716
+0.0704887
+0.0693095
+0.0681804
+0.0671038
+0.0660823
+0.0651185
+0.064215
+0.0633723
+0.062585
+0.0618652
+0.0612155
+0.060638
+0.0601347
+0.0597062
+0.0593541
+0.0590811
+0.0588884
+0.0587768
+0.0587468
+0.0587984
+0.0589314
+0.0591454
+0.0594344
+0.0598022
+0.0602476
+0.0604121
+0.0605572
+0.0607811
+0.0610827
+0.061461
+0.0619145
+0.0624416
+0.0630405
+0.0637092
+0.0644349
+0.0652203
+0.0660569
+0.0669548
+0.0679115
+0.0689245
+0.0699915
+0.07111
+0.0722775
+0.0734826
+0.0747319
+0.0760239
+0.0773563
+0.0787271
+0.0801341
+0.0815734
+0.0830456
+0.084549
+0.115495
+0.115294
+0.11513
+0.115004
+0.11492
+0.114877
+0.114876
+0.114604
+0.113106
+0.11163
+0.110178
+0.108751
+0.107349
+0.105974
+0.104626
+0.103257
+0.101883
+0.100523
+0.0991933
+0.0978943
+0.0966276
+0.0953943
+0.0940677
+0.0926737
+0.0913111
+0.0899811
+0.0886853
+0.0874252
+0.0862023
+0.0850175
+0.0838676
+0.0827598
+0.0816956
+0.0806769
+0.0797055
+0.0787829
+0.0779111
+0.0770917
+0.0763263
+0.0756168
+0.0749645
+0.0743711
+0.0738331
+0.0733561
+0.0729419
+0.0725914
+0.0723056
+0.0720853
+0.071872
+0.0707159
+0.0696096
+0.0685554
+0.0675558
+0.0666134
+0.0657304
+0.0649091
+0.0641409
+0.0634365
+0.0628003
+0.0622347
+0.0617417
+0.061323
+0.0609802
+0.0607145
+0.0605271
+0.0604185
+0.0603892
+0.0604394
+0.0605689
+0.0607771
+0.0610632
+0.0614261
+0.0615191
+0.0615917
+0.0617341
+0.0619537
+0.0622496
+0.0626209
+0.0630661
+0.0635836
+0.0641719
+0.0648289
+0.0655386
+0.0663129
+0.0671478
+0.0680313
+0.068973
+0.0699707
+0.071022
+0.0721245
+0.0732758
+0.0744648
+0.0756979
+0.0769736
+0.0782899
+0.0796446
+0.081036
+0.082462
+0.0839199
+0.0854078
+0.116814
+0.116608
+0.116442
+0.116317
+0.116234
+0.116192
+0.116191
+0.115238
+0.113756
+0.112289
+0.110846
+0.109427
+0.108034
+0.106668
+0.105326
+0.103978
+0.102617
+0.101272
+0.0999525
+0.0986635
+0.0974068
+0.0961835
+0.0949951
+0.0937338
+0.0923868
+0.0910725
+0.0897925
+0.0885481
+0.087341
+0.0861719
+0.0850376
+0.0839451
+0.0828962
+0.0818925
+0.0809356
+0.0800272
+0.0791691
+0.0783628
+0.07761
+0.0769123
+0.0762711
+0.0756862
+0.0751571
+0.0746886
+0.0742818
+0.0739377
+0.0736571
+0.0734409
+0.0732895
+0.0721582
+0.0710744
+0.0700422
+0.0690642
+0.0681426
+0.0672797
+0.0664738
+0.065721
+0.0650333
+0.0644128
+0.0638615
+0.0633811
+0.0629734
+0.0626396
+0.062381
+0.0621986
+0.0620929
+0.0620645
+0.0621133
+0.0622393
+0.0624419
+0.0627204
+0.0627518
+0.0627535
+0.0628256
+0.0629652
+0.0631805
+0.0634707
+0.0638349
+0.0642717
+0.0647796
+0.0653571
+0.065999
+0.0666961
+0.067457
+0.0682798
+0.0691604
+0.070087
+0.071069
+0.0721043
+0.0731905
+0.0743253
+0.0754978
+0.0767143
+0.0779734
+0.079273
+0.0806113
+0.0819862
+0.083396
+0.084839
+0.0863134
+0.118148
+0.117943
+0.11778
+0.117657
+0.117574
+0.117532
+0.117393
+0.115906
+0.114441
+0.112986
+0.111552
+0.110142
+0.108759
+0.107402
+0.10606
+0.104739
+0.103389
+0.102063
+0.100754
+0.0994751
+0.0982287
+0.0970158
+0.0958377
+0.0946955
+0.0935015
+0.0922031
+0.090939
+0.0897105
+0.0885192
+0.0873659
+0.0862473
+0.0851704
+0.0841367
+0.083148
+0.0822057
+0.0813115
+0.0804671
+0.079674
+0.0789337
+0.0782477
+0.0776176
+0.0770407
+0.076521
+0.0760609
+0.0756615
+0.0753236
+0.0750483
+0.074836
+0.0746875
+0.0736375
+0.0725757
+0.0715653
+0.0706083
+0.0697071
+0.0688639
+0.0680698
+0.0673348
+0.0666638
+0.0660586
+0.0655212
+0.0650531
+0.0646558
+0.0643308
+0.064079
+0.0639014
+0.0637986
+0.0637709
+0.0638185
+0.0639411
+0.0641383
+0.0641106
+0.0640374
+0.0640391
+0.0641106
+0.0642475
+0.0644585
+0.064743
+0.0651
+0.0655283
+0.0660266
+0.0665933
+0.06722
+0.0679045
+0.0686521
+0.0694607
+0.0703283
+0.0712509
+0.0722171
+0.0732362
+0.0743058
+0.0754239
+0.0765795
+0.0777791
+0.0790212
+0.0803039
+0.0816252
+0.0829834
+0.0843765
+0.085803
+0.0872612
+0.119506
+0.119305
+0.119143
+0.119021
+0.11894
+0.118898
+0.118088
+0.116609
+0.115153
+0.113721
+0.112297
+0.110896
+0.109522
+0.108171
+0.106834
+0.105527
+0.1042
+0.102889
+0.101596
+0.100328
+0.0990922
+0.0978901
+0.0967225
+0.095591
+0.0944967
+0.0933714
+0.0921233
+0.0909108
+0.0897355
+0.088598
+0.0874952
+0.0864338
+0.0854154
+0.0844416
+0.083514
+0.082634
+0.0818032
+0.0810231
+0.0802953
+0.0796211
+0.0790009
+0.078433
+0.0779226
+0.0774708
+0.0770787
+0.0767471
+0.0764769
+0.0762686
+0.0761228
+0.0751515
+0.0741115
+0.0731222
+0.0721859
+0.0713047
+0.0704765
+0.0696981
+0.0689805
+0.0683257
+0.0677353
+0.0672113
+0.066755
+0.066368
+0.0660514
+0.0658062
+0.0656333
+0.0655332
+0.0655062
+0.0655525
+0.0656719
+0.0655877
+0.0654429
+0.0653712
+0.0653729
+0.0654426
+0.0655766
+0.0657834
+0.0660622
+0.0664121
+0.066832
+0.0673207
+0.0678765
+0.0684893
+0.0691612
+0.0698953
+0.0706898
+0.0715425
+0.0724514
+0.0734052
+0.074408
+0.075461
+0.0765623
+0.0777079
+0.0788904
+0.0801153
+0.0813807
+0.0826849
+0.0840259
+0.085402
+0.0868117
+0.0882532
+0.12089
+0.12069
+0.12053
+0.12041
+0.120329
+0.120289
+0.118819
+0.11735
+0.115903
+0.11448
+0.113079
+0.111688
+0.110323
+0.108974
+0.107648
+0.10635
+0.105051
+0.103751
+0.102474
+0.101217
+0.0999924
+0.0988012
+0.0976445
+0.0965238
+0.0954402
+0.094395
+0.093344
+0.0921476
+0.0909883
+0.0898666
+0.0887795
+0.0877337
+0.0867306
+0.0857717
+0.0848586
+0.0839927
+0.0831755
+0.0824084
+0.0816929
+0.0810304
+0.0804189
+0.0798611
+0.0793599
+0.0789164
+0.0785315
+0.078206
+0.0779408
+0.0777365
+0.0775935
+0.0766983
+0.0756794
+0.074711
+0.0737948
+0.072933
+0.0721171
+0.0713565
+0.0706558
+0.0700166
+0.0694407
+0.0689296
+0.0684848
+0.0681076
+0.0677991
+0.0675602
+0.0673918
+0.0672943
+0.0672681
+0.0673131
+0.0671636
+0.0669623
+0.0668204
+0.0667502
+0.0667518
+0.0668175
+0.0669488
+0.0671513
+0.0674245
+0.0677674
+0.068179
+0.068658
+0.0692031
+0.0698042
+0.0704636
+0.0711843
+0.0719645
+0.0728023
+0.0736957
+0.0746363
+0.0756227
+0.0766591
+0.0777434
+0.0788736
+0.0800462
+0.0812537
+0.0825017
+0.0837884
+0.085112
+0.0864708
+0.0878633
+0.0892879
+0.122297
+0.1221
+0.121941
+0.121822
+0.121743
+0.121068
+0.119586
+0.118126
+0.116689
+0.115275
+0.113887
+0.112515
+0.111153
+0.109815
+0.108499
+0.107211
+0.105941
+0.104652
+0.103391
+0.102145
+0.100932
+0.0997519
+0.0986064
+0.0974967
+0.096424
+0.0953896
+0.0943859
+0.0934026
+0.092276
+0.0911702
+0.0900989
+0.0890685
+0.0880806
+0.0871366
+0.086238
+0.085386
+0.0845823
+0.0838281
+0.0831248
+0.0824734
+0.081871
+0.0813232
+0.0808311
+0.0803957
+0.0800178
+0.0796985
+0.0794383
+0.0792378
+0.0790975
+0.0782757
+0.0772777
+0.0763295
+0.075433
+0.0745863
+0.0737862
+0.073043
+0.0723586
+0.0717346
+0.0711726
+0.070674
+0.0702403
+0.0698725
+0.0695719
+0.0693391
+0.069175
+0.0690801
+0.0690545
+0.0688426
+0.0685783
+0.0683794
+0.0682405
+0.0681718
+0.0681734
+0.0682351
+0.0683637
+0.068562
+0.0688296
+0.0691655
+0.0695688
+0.0700384
+0.0705728
+0.0711623
+0.0718092
+0.0725166
+0.0732826
+0.0741055
+0.0749834
+0.0759106
+0.0768807
+0.0779003
+0.0789676
+0.0800805
+0.0812374
+0.0824346
+0.083665
+0.084934
+0.0862401
+0.0875814
+0.0889565
+0.0903638
+0.123726
+0.123531
+0.123375
+0.123258
+0.123179
+0.12186
+0.120387
+0.118937
+0.11751
+0.116107
+0.114728
+0.113371
+0.11202
+0.110693
+0.109387
+0.10811
+0.106863
+0.10559
+0.104343
+0.103112
+0.10191
+0.100741
+0.0996071
+0.0985087
+0.0974472
+0.0964237
+0.0954346
+0.0944622
+0.0935311
+0.0925073
+0.0914517
+0.0904367
+0.0894639
+0.0885347
+0.0876504
+0.0868123
+0.0860219
+0.0852804
+0.0845892
+0.0839472
+0.0833554
+0.0828174
+0.0823342
+0.0819068
+0.081536
+0.0812226
+0.0809673
+0.0807706
+0.080633
+0.0798821
+0.0789044
+0.077976
+0.0770987
+0.0762643
+0.075482
+0.0747557
+0.0740871
+0.0734778
+0.0729292
+0.0724427
+0.0720196
+0.071661
+0.0713678
+0.071141
+0.0709811
+0.0708885
+0.0706176
+0.0702918
+0.070033
+0.0698365
+0.0697005
+0.0696332
+0.0696348
+0.0696927
+0.0698186
+0.0700128
+0.0702748
+0.0706039
+0.070999
+0.0714592
+0.0719831
+0.0725611
+0.0731957
+0.0738898
+0.0746417
+0.0754498
+0.0763122
+0.077226
+0.0781798
+0.0791827
+0.0802329
+0.0813286
+0.0824679
+0.0836491
+0.0848689
+0.0861202
+0.0874085
+0.0887322
+0.0900898
+0.0914796
+0.0991463
+0.0973992
+0.0956704
+0.0939609
+0.0922717
+0.090604
+0.0889589
+0.0873365
+0.0857385
+0.0841672
+0.0826241
+0.0811108
+0.079629
+0.0781806
+0.0767673
+0.0753912
+0.0740544
+0.0727589
+0.0714974
+0.070281
+0.0691126
+0.0679948
+0.06693
+0.0659208
+0.0649698
+0.0640797
+0.0632529
+0.062492
+0.0617995
+0.0611776
+0.0606285
+0.0601542
+0.0597565
+0.059437
+0.0591968
+0.0590371
+0.0589583
+0.0589609
+0.0590448
+0.0592097
+0.059455
+0.0597759
+0.0601631
+0.060627
+0.061166
+0.0617779
+0.0624607
+0.0632121
+0.0640297
+0.0649109
+0.0658532
+0.0668541
+0.0679109
+0.0690211
+0.0701821
+0.0713915
+0.0726406
+0.0739286
+0.0752584
+0.0766278
+0.0780346
+0.079477
+0.0809529
+0.0824606
+0.0839984
+0.0855647
+0.0871578
+0.0887765
+0.0904192
+0.0920848
+0.0937714
+0.0954778
+0.0972036
+0.0989478
+0.100709
+0.102488
+0.104281
+0.10609
+0.10761
+0.108873
+0.110166
+0.111487
+0.112826
+0.114192
+0.115583
+0.116999
+0.118434
+0.119875
+0.121326
+0.122799
+0.124293
+0.125808
+0.127342
+0.128404
+0.129056
+0.12973
+0.130438
+0.131179
+0.131952
+0.132752
+0.0982965
+0.096534
+0.0947894
+0.0930637
+0.0913579
+0.0896733
+0.0880108
+0.0863705
+0.0847543
+0.0831644
+0.0816024
+0.0800698
+0.0785684
+0.0771
+0.0756666
+0.0742701
+0.0729127
+0.0715966
+0.0703241
+0.0690885
+0.0678996
+0.0667614
+0.0656767
+0.0646479
+0.063678
+0.0627695
+0.0619252
+0.0611478
+0.0604399
+0.0598038
+0.059242
+0.0587565
+0.0583493
+0.058022
+0.057776
+0.0576123
+0.0575316
+0.0575342
+0.0576202
+0.0577892
+0.0580405
+0.0583715
+0.0587679
+0.0592428
+0.0597942
+0.06042
+0.061118
+0.0618857
+0.0627205
+0.0636199
+0.0645811
+0.0656014
+0.066678
+0.0678084
+0.0689898
+0.0702198
+0.0714957
+0.0728074
+0.0741595
+0.0755496
+0.0769762
+0.078438
+0.0799331
+0.0814597
+0.083016
+0.0846005
+0.0862114
+0.0878475
+0.0895073
+0.0911895
+0.0928924
+0.0946147
+0.0963559
+0.0981152
+0.0998915
+0.101684
+0.10348
+0.104701
+0.105954
+0.107237
+0.108549
+0.10989
+0.111249
+0.112634
+0.114044
+0.115458
+0.116882
+0.118329
+0.119799
+0.12129
+0.122803
+0.124336
+0.125888
+0.127205
+0.127852
+0.128533
+0.129247
+0.129995
+0.130775
+0.131475
+0.0974885
+0.0957112
+0.0939513
+0.0922099
+0.090488
+0.0887868
+0.0871075
+0.0854498
+0.0838159
+0.0822078
+0.0806273
+0.0790758
+0.0775551
+0.0760672
+0.0746139
+0.0731974
+0.0718197
+0.0704832
+0.0691903
+0.0679434
+0.0667365
+0.0655781
+0.0644734
+0.0634252
+0.0624362
+0.0615094
+0.0606476
+0.0598536
+0.0591302
+0.0584799
+0.0579052
+0.0574084
+0.0569916
+0.0566565
+0.0564045
+0.0562368
+0.0561541
+0.0561568
+0.0562449
+0.056418
+0.0566753
+0.0570157
+0.0574224
+0.0579083
+0.0584723
+0.0591121
+0.0598254
+0.0606094
+0.0614616
+0.0623791
+0.0633591
+0.0643988
+0.0654952
+0.0666457
+0.0678474
+0.0690976
+0.0703939
+0.0717257
+0.0730979
+0.0745092
+0.0759574
+0.0774406
+0.0789567
+0.0805038
+0.0820803
+0.0836825
+0.0853108
+0.0869638
+0.0886402
+0.0903381
+0.092056
+0.0937936
+0.0955498
+0.0973236
+0.0991141
+0.100595
+0.101804
+0.103046
+0.104318
+0.105615
+0.106939
+0.108291
+0.109671
+0.111076
+0.112475
+0.113894
+0.115337
+0.116804
+0.118292
+0.119803
+0.121334
+0.122885
+0.124455
+0.126011
+0.126664
+0.127351
+0.128072
+0.128827
+0.129518
+0.130223
+0.0967234
+0.0949317
+0.0931571
+0.0914006
+0.0896632
+0.087946
+0.0862503
+0.0845759
+0.0829247
+0.0812991
+0.0797005
+0.0781306
+0.0765912
+0.0750841
+0.0736115
+0.0721752
+0.0707777
+0.0694211
+0.068108
+0.0668409
+0.0656225
+0.0644476
+0.0633231
+0.0622555
+0.0612477
+0.0603026
+0.0594233
+0.0586127
+0.0578738
+0.0572092
+0.0566216
+0.0561135
+0.055687
+0.0553439
+0.055086
+0.0549142
+0.0548295
+0.0548323
+0.0549226
+0.0550998
+0.0553633
+0.0557117
+0.0561302
+0.0566272
+0.0572038
+0.0578576
+0.0585862
+0.0593866
+0.0602561
+0.0611917
+0.0621904
+0.0632493
+0.0643653
+0.0655356
+0.0667572
+0.0680275
+0.0693438
+0.0706955
+0.0720872
+0.0735179
+0.0749853
+0.0764873
+0.0780219
+0.0795872
+0.0811815
+0.082803
+0.0844503
+0.0861217
+0.087816
+0.0895299
+0.091263
+0.0930154
+0.0947861
+0.0965496
+0.0977103
+0.098906
+0.10013
+0.101384
+0.102669
+0.103984
+0.105329
+0.106702
+0.108102
+0.109499
+0.110913
+0.112351
+0.113814
+0.1153
+0.116807
+0.118337
+0.119886
+0.121456
+0.123044
+0.124651
+0.125501
+0.126194
+0.126922
+0.127603
+0.128282
+0.128994
+0.0960022
+0.0941968
+0.0924081
+0.0906371
+0.0888847
+0.0871522
+0.0854408
+0.0837502
+0.0820824
+0.0804397
+0.0788236
+0.0772359
+0.0756783
+0.0741528
+0.0726612
+0.0712058
+0.0697888
+0.0684127
+0.0670798
+0.065793
+0.0645548
+0.0633682
+0.0622287
+0.061142
+0.0601155
+0.0591523
+0.0582557
+0.0574286
+0.0566742
+0.0559954
+0.055395
+0.0548755
+0.0544393
+0.0540883
+0.0538243
+0.0536486
+0.0535619
+0.0535647
+0.0536571
+0.0538385
+0.0541081
+0.0544645
+0.054895
+0.0554031
+0.0559923
+0.0566601
+0.0574038
+0.0582205
+0.0591072
+0.0600607
+0.0610779
+0.0621557
+0.063291
+0.0644808
+0.0657221
+0.067012
+0.0683478
+0.0697188
+0.0711297
+0.0725792
+0.0740652
+0.0755855
+0.0771381
+0.078721
+0.0803324
+0.0819708
+0.0836344
+0.0853218
+0.0870317
+0.0887627
+0.0905136
+0.0922823
+0.093671
+0.0948163
+0.095998
+0.0972147
+0.0984573
+0.0997322
+0.101039
+0.102375
+0.103741
+0.105134
+0.10653
+0.107938
+0.109372
+0.11083
+0.112313
+0.113818
+0.115345
+0.116893
+0.118462
+0.12005
+0.121657
+0.123282
+0.124365
+0.125065
+0.125733
+0.126383
+0.127068
+0.127788
+0.0953259
+0.0935074
+0.0917053
+0.0899204
+0.0881538
+0.0864067
+0.0846801
+0.082974
+0.0812903
+0.0796313
+0.0779985
+0.0763937
+0.0748186
+0.0732751
+0.0717653
+0.0702913
+0.0688555
+0.0674603
+0.0661083
+0.0648021
+0.0635447
+0.0623388
+0.0611877
+0.0600878
+0.0590429
+0.058062
+0.0571482
+0.0563049
+0.0555352
+0.0548423
+0.0542291
+0.0536984
+0.0532525
+0.0528937
+0.0526237
+0.0524439
+0.0523552
+0.0523581
+0.0524526
+0.0526382
+0.0529139
+0.0532783
+0.0537208
+0.0542398
+0.0548416
+0.0555232
+0.056282
+0.0571147
+0.0580183
+0.0589894
+0.0600248
+0.0611211
+0.0622753
+0.0634841
+0.0647445
+0.0660535
+0.0674083
+0.0687981
+0.0702274
+0.0716952
+0.0731992
+0.0747371
+0.0763069
+0.0779067
+0.0795347
+0.0811891
+0.0828684
+0.0845711
+0.0862959
+0.0880413
+0.0897169
+0.0908064
+0.0919353
+0.093102
+0.0943052
+0.0955419
+0.0968057
+0.0981021
+0.0994299
+0.100788
+0.102175
+0.103568
+0.10497
+0.106399
+0.107853
+0.109332
+0.110834
+0.112359
+0.113906
+0.115474
+0.117061
+0.118668
+0.120294
+0.121937
+0.123257
+0.123911
+0.124533
+0.12519
+0.125882
+0.126608
+0.0946954
+0.0928647
+0.0910498
+0.0892518
+0.0874717
+0.0857107
+0.0839698
+0.082249
+0.0805501
+0.0788755
+0.0772268
+0.0756055
+0.0740136
+0.072453
+0.0709257
+0.0694339
+0.0679801
+0.0665665
+0.0651959
+0.0638711
+0.0625949
+0.0613705
+0.0602008
+0.0590892
+0.0580333
+0.0570349
+0.0561045
+0.0552452
+0.0544606
+0.0537538
+0.0531281
+0.0525862
+0.0521308
+0.0517642
+0.0514883
+0.0513045
+0.0512139
+0.0512168
+0.0513134
+0.0515031
+0.0517849
+0.0521572
+0.0526116
+0.0531415
+0.0537555
+0.0544508
+0.0552243
+0.0560727
+0.0569928
+0.0579811
+0.0590341
+0.0601486
+0.0613211
+0.0625483
+0.0638272
+0.0651546
+0.0665277
+0.0679355
+0.0693826
+0.0708679
+0.0723891
+0.0739438
+0.0755301
+0.077146
+0.0787897
+0.0804595
+0.0821537
+0.0838709
+0.0856098
+0.0868848
+0.087956
+0.089067
+0.0902177
+0.0914063
+0.0926315
+0.0938901
+0.0951759
+0.0964942
+0.0978437
+0.099223
+0.100614
+0.10201
+0.103433
+0.104883
+0.106358
+0.107857
+0.10938
+0.110925
+0.112491
+0.114078
+0.115685
+0.117311
+0.118955
+0.120616
+0.122142
+0.122733
+0.123361
+0.124024
+0.124722
+0.125455
+0.0941118
+0.0922694
+0.0904426
+0.0886323
+0.0868395
+0.0850654
+0.083311
+0.0815763
+0.0798631
+0.0781738
+0.0765099
+0.0748732
+0.0732654
+0.0716885
+0.0701445
+0.0686358
+0.0671646
+0.0657335
+0.0643452
+0.0630025
+0.0617084
+0.060466
+0.0592785
+0.0581493
+0.0570819
+0.0560745
+0.0551278
+0.0542531
+0.0534539
+0.0527337
+0.0520957
+0.051543
+0.0510783
+0.0507041
+0.0504224
+0.0502347
+0.0501421
+0.0501451
+0.0502438
+0.0504375
+0.0507252
+0.0511052
+0.0515678
+0.0521083
+0.0527343
+0.0534429
+0.0542308
+0.0550945
+0.0560307
+0.0570356
+0.0581058
+0.0592377
+0.0604279
+0.0616729
+0.0629696
+0.0643147
+0.0657054
+0.0671334
+0.0685974
+0.0700994
+0.0716368
+0.0732076
+0.0748095
+0.0764406
+0.0780992
+0.0797834
+0.0814916
+0.0830501
+0.0840659
+0.0851228
+0.0862147
+0.0873479
+0.0885209
+0.089732
+0.0909798
+0.0922608
+0.093569
+0.0949096
+0.0962786
+0.0976638
+0.0990578
+0.100475
+0.10192
+0.103391
+0.104887
+0.106407
+0.10795
+0.109515
+0.111102
+0.112708
+0.114334
+0.115979
+0.117642
+0.119321
+0.120986
+0.121583
+0.122217
+0.122886
+0.123591
+0.12433
+0.0935757
+0.0917226
+0.0898847
+0.0880629
+0.0862583
+0.084472
+0.0827051
+0.0809573
+0.0792308
+0.0775277
+0.0758497
+0.0741983
+0.0725756
+0.0709833
+0.0694237
+0.067899
+0.0664115
+0.0649638
+0.0635587
+0.062199
+0.0608878
+0.0596283
+0.0584238
+0.0572777
+0.0561938
+0.0551709
+0.0542084
+0.0533186
+0.0525052
+0.0517718
+0.0511217
+0.0505584
+0.0500846
+0.0497029
+0.0494154
+0.0492239
+0.0491294
+0.0491326
+0.0492332
+0.0494309
+0.0497244
+0.050112
+0.0505901
+0.0511411
+0.0517788
+0.0525003
+0.0533021
+0.0541806
+0.0551323
+0.0561533
+0.05724
+0.0583887
+0.0595958
+0.0608579
+0.0621715
+0.0635336
+0.064941
+0.0663908
+0.0678739
+0.0693915
+0.0709443
+0.07253
+0.0741466
+0.075792
+0.0774644
+0.0791621
+0.0802758
+0.0812672
+0.082305
+0.0833799
+0.0844944
+0.0856504
+0.0868463
+0.0880804
+0.0893512
+0.0906552
+0.0919861
+0.0933443
+0.0947216
+0.0961152
+0.0975261
+0.0989654
+0.100432
+0.101924
+0.103441
+0.104983
+0.106546
+0.108132
+0.109738
+0.111365
+0.11301
+0.114674
+0.116355
+0.118053
+0.119766
+0.120462
+0.121101
+0.121777
+0.122488
+0.123233
+0.0930882
+0.0912252
+0.0893771
+0.0875447
+0.0857292
+0.0839316
+0.082153
+0.0803933
+0.0786544
+0.0769386
+0.0752474
+0.0735825
+0.0719459
+0.0703394
+0.0687652
+0.0672255
+0.0657228
+0.0642596
+0.0628387
+0.0614631
+0.0601359
+0.0588602
+0.0576397
+0.0564777
+0.0553781
+0.0543399
+0.0533624
+0.0524583
+0.0516313
+0.0508853
+0.0502238
+0.0496502
+0.0491677
+0.0487788
+0.0484859
+0.0482907
+0.0481944
+0.0481975
+0.0483002
+0.0485016
+0.0488007
+0.0491956
+0.049684
+0.0502508
+0.0508997
+0.0516334
+0.0524485
+0.0533411
+0.0543075
+0.0553437
+0.056446
+0.0576105
+0.0588336
+0.0601117
+0.0614413
+0.0628192
+0.0642422
+0.0657075
+0.0672122
+0.0687461
+0.0703132
+0.0719129
+0.073543
+0.0752016
+0.0765879
+0.077523
+0.078488
+0.0795016
+0.080562
+0.0816586
+0.0827963
+0.0839756
+0.085195
+0.0864528
+0.0877472
+0.0890745
+0.0904208
+0.0917896
+0.0931828
+0.0945867
+0.09602
+0.0974815
+0.0989699
+0.100484
+0.102023
+0.103585
+0.105169
+0.106775
+0.108402
+0.110048
+0.111713
+0.113396
+0.115095
+0.116811
+0.118542
+0.11937
+0.120015
+0.120697
+0.121414
+0.122167
+0.0926499
+0.0907779
+0.0889205
+0.0870785
+0.0852531
+0.0834452
+0.0816561
+0.0798854
+0.0781352
+0.0764077
+0.0747045
+0.0730273
+0.0713779
+0.0697583
+0.0681707
+0.0666173
+0.0651005
+0.063623
+0.0621876
+0.0607973
+0.0594552
+0.0581646
+0.0569291
+0.0557524
+0.0546382
+0.0535856
+0.0525941
+0.0516765
+0.0508369
+0.050079
+0.0494067
+0.0488236
+0.0483327
+0.0479371
+0.047639
+0.0474403
+0.0473423
+0.0473455
+0.04745
+0.047655
+0.0479594
+0.0483612
+0.0488579
+0.0494416
+0.050101
+0.0508463
+0.0516737
+0.0525795
+0.0535596
+0.0546101
+0.0557269
+0.0569061
+0.058144
+0.0594369
+0.0607813
+0.0621738
+0.0636113
+0.0650908
+0.0666094
+0.0681643
+0.0697452
+0.0713576
+0.0730002
+0.0738838
+0.0747839
+0.0757203
+0.0767079
+0.0777447
+0.0788288
+0.0799582
+0.0811218
+0.0823251
+0.0835686
+0.0848505
+0.0861689
+0.0875093
+0.0888656
+0.0902534
+0.0916576
+0.0930845
+0.0945406
+0.0960246
+0.0975353
+0.0990713
+0.100632
+0.102215
+0.103821
+0.105447
+0.107094
+0.10876
+0.110444
+0.112146
+0.113853
+0.115568
+0.117299
+0.118309
+0.11896
+0.119648
+0.120371
+0.12113
+0.0922523
+0.0903783
+0.0885158
+0.0866652
+0.0848309
+0.0830138
+0.0812152
+0.0794347
+0.0776743
+0.0759363
+0.0742223
+0.072534
+0.0708731
+0.0692417
+0.067642
+0.0660761
+0.0645466
+0.0630562
+0.0616076
+0.0602038
+0.0588482
+0.057544
+0.0562949
+0.0551046
+0.053977
+0.0529113
+0.051907
+0.050977
+0.0501256
+0.0493569
+0.0486746
+0.0480826
+0.0475841
+0.0471822
+0.0468793
+0.0466774
+0.0465777
+0.046581
+0.0466872
+0.0468956
+0.0472048
+0.047613
+0.0481175
+0.0487154
+0.0493866
+0.0501425
+0.0509814
+0.0518992
+0.052892
+0.0539554
+0.0550855
+0.0562782
+0.0575296
+0.058836
+0.0601938
+0.0615996
+0.0630502
+0.0645425
+0.0660736
+0.0676394
+0.0692391
+0.0703802
+0.0712117
+0.0720738
+0.0729793
+0.0739386
+0.0749497
+0.0760104
+0.0771189
+0.0782729
+0.0794707
+0.0807004
+0.0819685
+0.083275
+0.0846078
+0.0859527
+0.0873319
+0.088739
+0.09016
+0.0916102
+0.0930893
+0.0945961
+0.0961292
+0.0976873
+0.0992694
+0.100874
+0.102501
+0.104148
+0.105814
+0.107494
+0.109183
+0.110884
+0.112601
+0.114335
+0.116085
+0.117279
+0.117936
+0.11863
+0.119359
+0.120121
+0.0919044
+0.0900232
+0.0881563
+0.0863046
+0.0844634
+0.0826383
+0.0808313
+0.0790422
+0.0772728
+0.0755256
+0.0738021
+0.0721039
+0.0704329
+0.0687911
+0.0671806
+0.0656037
+0.0640629
+0.0625609
+0.0611006
+0.0596849
+0.0583172
+0.0570009
+0.0557397
+0.0545372
+0.0533977
+0.0523202
+0.0513042
+0.0503632
+0.0495012
+0.0487226
+0.0480313
+0.0474312
+0.0469259
+0.0465183
+0.046211
+0.0460062
+0.0459051
+0.0459084
+0.0460161
+0.0462276
+0.0465412
+0.0469551
+0.0474666
+0.0480726
+0.0487603
+0.0495257
+0.0503749
+0.0513036
+0.0523076
+0.0533827
+0.0545247
+0.0557294
+0.0569928
+0.0583113
+0.059681
+0.0610982
+0.0625585
+0.0640604
+0.0656011
+0.0670387
+0.0677824
+0.0685742
+0.0693962
+0.0702679
+0.0711963
+0.0721793
+0.0732147
+0.0743003
+0.0754338
+0.0766133
+0.0778328
+0.0790891
+0.0803855
+0.0817194
+0.0830533
+0.0844145
+0.0858083
+0.0872348
+0.0886911
+0.0901649
+0.0916674
+0.0931972
+0.0947529
+0.0963333
+0.0979318
+0.0995518
+0.101193
+0.102855
+0.104534
+0.106219
+0.107922
+0.109642
+0.111379
+0.113131
+0.114899
+0.116282
+0.116944
+0.117643
+0.118376
+0.119013
+0.0916076
+0.0897202
+0.0878468
+0.0859884
+0.0841461
+0.0823186
+0.0805042
+0.0787087
+0.0769317
+0.0751765
+0.0734448
+0.0717381
+0.0700584
+0.0684076
+0.0667879
+0.0652015
+0.063651
+0.062139
+0.0606685
+0.0592426
+0.0578644
+0.0565375
+0.0552657
+0.0540528
+0.0529028
+0.051815
+0.0507889
+0.0498381
+0.0489669
+0.0481796
+0.0474805
+0.0468734
+0.0463619
+0.0459493
+0.0456382
+0.0454308
+0.0453284
+0.0453318
+0.0454409
+0.045655
+0.0459726
+0.0463915
+0.0469092
+0.0475223
+0.048221
+0.0489949
+0.0498531
+0.0507913
+0.0518053
+0.0528906
+0.0540429
+0.0552581
+0.0565321
+0.0578611
+0.0592403
+0.0606662
+0.0621366
+0.0636485
+0.0645234
+0.0652232
+0.0659651
+0.0667519
+0.0675897
+0.0684844
+0.0694367
+0.0704443
+0.0715048
+0.0726159
+0.0737754
+0.0749734
+0.0762138
+0.0774964
+0.0788189
+0.0801552
+0.0815041
+0.0828889
+0.0843079
+0.0857594
+0.0872418
+0.0887459
+0.090265
+0.0918112
+0.0933832
+0.0949798
+0.0965996
+0.0982416
+0.0999047
+0.101575
+0.103262
+0.104967
+0.10669
+0.10843
+0.110186
+0.111957
+0.113743
+0.115225
+0.115985
+0.116657
+0.117231
+0.117842
+0.0913623
+0.0894697
+0.087591
+0.0857271
+0.0838791
+0.0820456
+0.080225
+0.0784233
+0.0766419
+0.0748821
+0.0731457
+0.0714342
+0.0697496
+0.0680925
+0.0664651
+0.0648708
+0.0633122
+0.061792
+0.060313
+0.0588784
+0.0574915
+0.0561559
+0.0548752
+0.0536534
+0.0524946
+0.0513982
+0.0503637
+0.0494047
+0.0485257
+0.0477312
+0.0470254
+0.0464123
+0.0458957
+0.0454789
+0.0451646
+0.0449549
+0.0448515
+0.0448549
+0.0449651
+0.0451815
+0.0455023
+0.0459256
+0.0464485
+0.0470675
+0.0477729
+0.0485539
+0.0494198
+0.0503661
+0.0513885
+0.0524824
+0.0536435
+0.0548676
+0.0561504
+0.0574882
+0.0588761
+0.0603106
+0.0614814
+0.0620609
+0.0627117
+0.0634
+0.0641434
+0.0649489
+0.0658066
+0.0667252
+0.0677022
+0.0687352
+0.0698217
+0.0709572
+0.0721337
+0.0733567
+0.0746241
+0.0759335
+0.0772706
+0.078608
+0.0799829
+0.0813937
+0.0828383
+0.0843151
+0.0858134
+0.0873286
+0.0888719
+0.090442
+0.0920374
+0.0936569
+0.0952992
+0.0969575
+0.0986258
+0.100314
+0.102022
+0.103747
+0.10549
+0.107249
+0.109024
+0.110814
+0.112618
+0.114118
+0.114963
+0.115504
+0.116083
+0.116701
+0.0911691
+0.0892724
+0.0873895
+0.0855212
+0.0836685
+0.0818304
+0.0800049
+0.0781981
+0.0764114
+0.0746463
+0.0729042
+0.0711869
+0.0694963
+0.0678343
+0.066203
+0.0646048
+0.0630423
+0.0615181
+0.0600352
+0.058594
+0.0572002
+0.0558576
+0.0545699
+0.0533411
+0.0521754
+0.0510721
+0.0500309
+0.0490654
+0.0481802
+0.0473799
+0.0466687
+0.0460509
+0.0455302
+0.04511
+0.0447931
+0.0445817
+0.0444774
+0.0444808
+0.044592
+0.0448101
+0.0451337
+0.0455604
+0.0460874
+0.0467112
+0.0474219
+0.0482086
+0.0490806
+0.0500333
+0.0510623
+0.0521631
+0.0533312
+0.0545622
+0.0558521
+0.0571968
+0.0585916
+0.0591358
+0.0596577
+0.0602548
+0.0608818
+0.0615781
+0.0623436
+0.0631672
+0.0640488
+0.0649922
+0.0659949
+0.0670542
+0.0681614
+0.0693161
+0.07052
+0.0717705
+0.0730654
+0.0743957
+0.0757279
+0.077092
+0.0784935
+0.0799305
+0.0814011
+0.0828906
+0.0844014
+0.0859415
+0.0875093
+0.0891033
+0.0907223
+0.0923649
+0.094016
+0.0956854
+0.0973755
+0.0990852
+0.100813
+0.102559
+0.104322
+0.106101
+0.107895
+0.109703
+0.111525
+0.113011
+0.113835
+0.114381
+0.114967
+0.11559
+0.0910282
+0.0891285
+0.0872424
+0.0853709
+0.083515
+0.0816734
+0.0798443
+0.0780338
+0.0762432
+0.0744741
+0.0727279
+0.0710064
+0.0693113
+0.0676447
+0.0660088
+0.0644058
+0.0628384
+0.0613091
+0.059821
+0.0583772
+0.056981
+0.0556361
+0.0543462
+0.0531154
+0.0519467
+0.0508384
+0.0497923
+0.0488221
+0.0479324
+0.0471279
+0.0464129
+0.0457916
+0.0452679
+0.0448452
+0.0445265
+0.0443138
+0.0442089
+0.0442123
+0.0443242
+0.0445436
+0.0448691
+0.0452983
+0.0458282
+0.0464556
+0.0471701
+0.047961
+0.0488374
+0.0497947
+0.0508286
+0.0519343
+0.0531074
+0.0543435
+0.0556385
+0.0564638
+0.0568623
+0.0573153
+0.0578215
+0.0584054
+0.0590581
+0.0597756
+0.0605635
+0.0614047
+0.0623117
+0.0632815
+0.0643113
+0.0653928
+0.0665234
+0.0677061
+0.0689381
+0.0702101
+0.0715042
+0.0728351
+0.0742049
+0.075609
+0.0770375
+0.0785012
+0.0799776
+0.0814835
+0.0830199
+0.0845851
+0.0861776
+0.0877958
+0.089437
+0.0910849
+0.0927554
+0.0944471
+0.0961589
+0.0978899
+0.0996389
+0.101405
+0.103188
+0.104985
+0.106798
+0.108625
+0.110464
+0.111923
+0.112726
+0.113279
+0.113872
+0.114504
+0.0909398
+0.0890383
+0.0871503
+0.0852767
+0.0834187
+0.0815749
+0.0797435
+0.0779307
+0.0761377
+0.0743661
+0.0726173
+0.0708931
+0.0691953
+0.0675258
+0.0658869
+0.0642809
+0.0627103
+0.0611779
+0.0596865
+0.0582393
+0.0568397
+0.0554914
+0.0541981
+0.0529638
+0.0517929
+0.0506896
+0.0496493
+0.0486762
+0.0477839
+0.0469768
+0.0462594
+0.0456361
+0.0451106
+0.0446864
+0.0443665
+0.0441531
+0.0440478
+0.0440512
+0.0441635
+0.0443837
+0.0447103
+0.045141
+0.0456729
+0.0463023
+0.0470192
+0.0478125
+0.0486916
+0.0496518
+0.0506885
+0.0517972
+0.0529734
+0.0540059
+0.0542582
+0.0545973
+0.0550011
+0.0554442
+0.0559672
+0.0565703
+0.0572509
+0.0579991
+0.0587954
+0.0596615
+0.0605946
+0.0615914
+0.062649
+0.0637591
+0.0649181
+0.0661226
+0.0673527
+0.0686307
+0.069949
+0.0713069
+0.0727054
+0.0741423
+0.0756124
+0.077079
+0.0785794
+0.0801116
+0.0816737
+0.0832643
+0.0848815
+0.0865172
+0.0881653
+0.0898366
+0.0915298
+0.0932437
+0.0949773
+0.0967293
+0.098499
+0.100285
+0.102087
+0.103904
+0.105735
+0.10758
+0.10942
+0.110868
+0.111645
+0.112203
+0.112802
+0.113432
+0.0908992
+0.0889969
+0.0871082
+0.085234
+0.0833752
+0.0815329
+0.0797029
+0.0778891
+0.0760952
+0.0743225
+0.0725727
+0.0708474
+0.0691484
+0.0674778
+0.0658378
+0.0642305
+0.0626587
+0.0611249
+0.0596322
+0.0581837
+0.0567827
+0.055433
+0.0541383
+0.0529027
+0.0517303
+0.0506256
+0.0495932
+0.0486288
+0.0477355
+0.0469276
+0.0462095
+0.0455854
+0.0450594
+0.0446347
+0.0443144
+0.0441008
+0.0439953
+0.0439988
+0.0441112
+0.0443317
+0.0446587
+0.0450898
+0.0456223
+0.0462524
+0.04697
+0.0477642
+0.0486441
+0.0496052
+0.0506429
+0.0517526
+0.0519651
+0.0521435
+0.0524048
+0.0527525
+0.0531381
+0.0535973
+0.0541382
+0.0547614
+0.0554642
+0.0562356
+0.0570566
+0.0579487
+0.0589089
+0.0599338
+0.0610201
+0.0621525
+0.0633081
+0.0645175
+0.0657776
+0.0670818
+0.0684264
+0.0698139
+0.0712418
+0.0727076
+0.0741966
+0.0756907
+0.077218
+0.0787767
+0.0803648
+0.0819807
+0.0836102
+0.0852582
+0.0869302
+0.0886248
+0.0903407
+0.0920768
+0.0938319
+0.095605
+0.097395
+0.0992012
+0.101023
+0.102854
+0.104672
+0.106497
+0.108307
+0.109846
+0.110596
+0.11116
+0.111757
+0.112392
+0.0909061
+0.089004
+0.0871155
+0.0852415
+0.0833828
+0.0815407
+0.0797162
+0.0779092
+0.0761157
+0.0743435
+0.0725942
+0.0708694
+0.069171
+0.067501
+0.0658614
+0.0642548
+0.0626836
+0.0611504
+0.0596583
+0.0582105
+0.0568102
+0.0554611
+0.0541671
+0.0529321
+0.0517605
+0.0506565
+0.0496247
+0.0486696
+0.0477876
+0.0469806
+0.0462633
+0.04564
+0.0451145
+0.0446904
+0.0443705
+0.0441571
+0.0440518
+0.0440553
+0.0441675
+0.0443877
+0.0447143
+0.045145
+0.0456768
+0.0463062
+0.047023
+0.0478163
+0.0486953
+0.0496554
+0.0500071
+0.0500287
+0.0501296
+0.0503075
+0.0505783
+0.0509015
+0.051301
+0.0517772
+0.0523368
+0.0529813
+0.0537074
+0.0545032
+0.0553498
+0.0562691
+0.0572546
+0.0582939
+0.0593893
+0.0605186
+0.061705
+0.0629453
+0.064236
+0.0655658
+0.0669409
+0.0683585
+0.0698162
+0.0713113
+0.0728192
+0.0743409
+0.0758955
+0.0774807
+0.0790949
+0.0807175
+0.0823651
+0.0840375
+0.0857333
+0.0874511
+0.0891896
+0.0909477
+0.0927241
+0.094518
+0.0963196
+0.0981122
+0.0999207
+0.101744
+0.103582
+0.105399
+0.107228
+0.108816
+0.10952
+0.110143
+0.110745
+0.111386
+0.0909659
+0.0890651
+0.0871779
+0.0853052
+0.083448
+0.0816073
+0.0797843
+0.0779803
+0.0761965
+0.074429
+0.0726817
+0.0709591
+0.0692629
+0.0675951
+0.0659579
+0.0643537
+0.0627849
+0.0612543
+0.0597648
+0.0583196
+0.056922
+0.0555757
+0.0542844
+0.0530521
+0.0518832
+0.0507818
+0.0497526
+0.0488001
+0.0479219
+0.0471172
+0.046402
+0.0457806
+0.0452568
+0.044834
+0.0445152
+0.0443025
+0.0441975
+0.0442009
+0.0443128
+0.0445323
+0.0448579
+0.0452872
+0.0458173
+0.0464448
+0.0471658
+0.0479685
+0.048455
+0.0482838
+0.0482075
+0.0482203
+0.048318
+0.0484996
+0.0487591
+0.0490784
+0.0494927
+0.0499868
+0.0505663
+0.051233
+0.0519835
+0.0527848
+0.0536551
+0.0545873
+0.0555902
+0.0566548
+0.0577545
+0.0589151
+0.0601332
+0.0614053
+0.0627277
+0.0640888
+0.065495
+0.0669433
+0.068431
+0.0699392
+0.0714813
+0.073032
+0.0746138
+0.0762211
+0.0778406
+0.0794874
+0.08116
+0.0828568
+0.0845762
+0.0863171
+0.088078
+0.089844
+0.0916062
+0.0933865
+0.0951839
+0.0969975
+0.0988264
+0.10067
+0.102502
+0.104335
+0.106183
+0.107692
+0.108437
+0.109089
+0.109683
+0.11031
+0.0910783
+0.0891799
+0.0872952
+0.085425
+0.0835705
+0.0817326
+0.0799125
+0.0781114
+0.0763307
+0.0745718
+0.0728351
+0.0711162
+0.0694238
+0.06776
+0.0661269
+0.0645269
+0.0629624
+0.0614362
+0.0599513
+0.0585107
+0.0571177
+0.0557761
+0.0544896
+0.0532621
+0.0520978
+0.0510011
+0.0499764
+0.0490283
+0.0481542
+0.0473534
+0.0466419
+0.0460237
+0.0455027
+0.0450822
+0.0447652
+0.0445537
+0.0444492
+0.0444527
+0.0445639
+0.0447822
+0.0451059
+0.0455329
+0.0460602
+0.0466844
+0.04733
+0.0469648
+0.0466883
+0.0465001
+0.046411
+0.0464252
+0.046516
+0.0466862
+0.0469552
+0.0472866
+0.0477165
+0.0482295
+0.0488298
+0.0495068
+0.0502463
+0.0510692
+0.0519677
+0.0529296
+0.0539597
+0.055026
+0.0561576
+0.0573505
+0.0586011
+0.0599057
+0.0612607
+0.0626537
+0.0640913
+0.0655624
+0.067062
+0.0685988
+0.0701703
+0.0717661
+0.0733641
+0.0749812
+0.0766269
+0.0782994
+0.0799968
+0.0817177
+0.083441
+0.0851667
+0.0869132
+0.0886795
+0.0904644
+0.0922667
+0.0940856
+0.0959199
+0.097769
+0.0996162
+0.101455
+0.103307
+0.105173
+0.1066
+0.107387
+0.108
+0.108613
+0.109253
+0.0912432
+0.0893483
+0.0874672
+0.0856008
+0.0837502
+0.0819163
+0.0801004
+0.0783036
+0.0765274
+0.0747731
+0.0730425
+0.0713371
+0.0696533
+0.0679951
+0.0663678
+0.0647737
+0.0632154
+0.0616954
+0.0602169
+0.0587828
+0.0573964
+0.0560615
+0.0547816
+0.0535608
+0.0524032
+0.051313
+0.0502947
+0.0493527
+0.0484845
+0.0476892
+0.0469828
+0.0463691
+0.0458521
+0.0454348
+0.0451202
+0.0449104
+0.0448068
+0.0448102
+0.0449206
+0.0451371
+0.0454583
+0.045882
+0.0464053
+0.0461165
+0.0456215
+0.0452234
+0.0449287
+0.0447337
+0.0446411
+0.0446546
+0.0447247
+0.0449018
+0.045181
+0.0455297
+0.045967
+0.0464936
+0.0470974
+0.0477738
+0.0485398
+0.0493911
+0.0503192
+0.05131
+0.0523387
+0.0534373
+0.0546018
+0.0558281
+0.057112
+0.0584499
+0.0598371
+0.0612575
+0.0627139
+0.0642053
+0.0657359
+0.067303
+0.068904
+0.0705099
+0.0721211
+0.0737622
+0.0754312
+0.0771247
+0.0788091
+0.0805156
+0.0822443
+0.0839945
+0.0857649
+0.0875544
+0.0893617
+0.0911859
+0.0930258
+0.0948807
+0.0967441
+0.0985877
+0.100445
+0.102316
+0.104197
+0.105525
+0.106367
+0.106944
+0.107563
+0.108223
+0.0914602
+0.0895699
+0.0876936
+0.0858322
+0.0839866
+0.082158
+0.0803475
+0.0785564
+0.0767861
+0.0750379
+0.0733134
+0.0716145
+0.069943
+0.0682997
+0.0666798
+0.0650934
+0.0635429
+0.062031
+0.0605606
+0.0591348
+0.057757
+0.0564305
+0.0551592
+0.053947
+0.0527978
+0.051716
+0.0507057
+0.0497715
+0.0489107
+0.0481225
+0.0474225
+0.0468146
+0.0463025
+0.0458894
+0.0455779
+0.0453702
+0.0452677
+0.0452711
+0.0453803
+0.0455947
+0.0459127
+0.0455993
+0.0449641
+0.044428
+0.0439285
+0.0435149
+0.0432086
+0.0430064
+0.04291
+0.042883
+0.0429544
+0.043137
+0.0434035
+0.0437419
+0.0441864
+0.0447331
+0.0453696
+0.0460799
+0.0468735
+0.0477545
+0.0487115
+0.0496992
+0.0507605
+0.0518926
+0.053091
+0.0543513
+0.0556693
+0.05704
+0.0584464
+0.0598903
+0.0613721
+0.0628953
+0.064457
+0.0660411
+0.0676169
+0.0692261
+0.0708665
+0.072536
+0.0742103
+0.0758958
+0.0776036
+0.0793352
+0.081089
+0.0828637
+0.0846578
+0.0864701
+0.0882997
+0.0901453
+0.0920061
+0.0938811
+0.0957349
+0.0975976
+0.0994717
+0.101356
+0.103252
+0.104468
+0.10533
+0.105913
+0.106538
+0.107202
+0.0917291
+0.0898445
+0.087974
+0.0861186
+0.0842794
+0.0824573
+0.0806535
+0.0788693
+0.0771061
+0.0753654
+0.0736486
+0.0719576
+0.0702942
+0.0686604
+0.0670584
+0.0654848
+0.0639438
+0.0624416
+0.0609811
+0.0595654
+0.0581977
+0.0568816
+0.0556206
+0.0544186
+0.0532797
+0.0522078
+0.0512073
+0.0502823
+0.0494305
+0.0486507
+0.0479584
+0.0473574
+0.0468512
+0.046443
+0.0461352
+0.04593
+0.0458288
+0.0458321
+0.04594
+0.0455384
+0.0447295
+0.0439941
+0.0433354
+0.0427789
+0.0422812
+0.0418513
+0.0415328
+0.0413178
+0.0411705
+0.0411283
+0.0412027
+0.041374
+0.0416285
+0.0419812
+0.0424442
+0.0430094
+0.043671
+0.0444294
+0.045252
+0.0461571
+0.0471138
+0.0481341
+0.0492292
+0.0503957
+0.0516288
+0.052924
+0.0542756
+0.0556656
+0.0570951
+0.0585657
+0.0600802
+0.0616353
+0.0631714
+0.0647429
+0.0663495
+0.0679887
+0.0696524
+0.0713114
+0.0729967
+0.0747066
+0.0764411
+0.0781984
+0.0799772
+0.0817759
+0.0835933
+0.0854283
+0.0872797
+0.0891464
+0.0910276
+0.0928869
+0.0947488
+0.0966245
+0.0985131
+0.100402
+0.102296
+0.103445
+0.104285
+0.10483
+0.105418
+0.106047
+0.0920494
+0.0901714
+0.0883079
+0.0864597
+0.0846278
+0.0828134
+0.0810176
+0.0792416
+0.0774869
+0.0757548
+0.0740471
+0.0723654
+0.0707116
+0.0690877
+0.0674958
+0.0659383
+0.0644167
+0.0629258
+0.0614769
+0.0600729
+0.058717
+0.0574128
+0.0561637
+0.0549736
+0.0538464
+0.052786
+0.0517967
+0.0508824
+0.0500408
+0.0492707
+0.0485872
+0.0479941
+0.0474947
+0.047092
+0.0467886
+0.0465863
+0.0464864
+0.0459401
+0.0449464
+0.0440255
+0.0431865
+0.0424372
+0.04175
+0.0411495
+0.0406571
+0.0402021
+0.0398469
+0.039609
+0.0394613
+0.0394172
+0.0394792
+0.0396328
+0.0398948
+0.0402627
+0.0407453
+0.0413299
+0.0420181
+0.0428074
+0.0436728
+0.0445755
+0.0455654
+0.0466195
+0.0477493
+0.0489511
+0.0502198
+0.0515492
+0.0529202
+0.0543328
+0.0557902
+0.0572942
+0.0587979
+0.0603242
+0.0618904
+0.0634936
+0.0651311
+0.0667712
+0.0684299
+0.0701147
+0.0718264
+0.0735635
+0.0753243
+0.0771071
+0.0789104
+0.0807329
+0.0825733
+0.0844304
+0.0863032
+0.0881654
+0.0900183
+0.0918861
+0.0937679
+0.0956625
+0.0975507
+0.0994514
+0.101364
+0.102451
+0.103141
+0.103692
+0.104286
+0.104922
+0.0924205
+0.0905502
+0.0886946
+0.0868547
+0.0850313
+0.0832257
+0.0814389
+0.0796724
+0.0779273
+0.0762053
+0.0745079
+0.0728369
+0.071194
+0.0695813
+0.068001
+0.0664553
+0.0649467
+0.06347
+0.0620341
+0.0606434
+0.059301
+0.0580103
+0.0567748
+0.0555983
+0.0544844
+0.0534371
+0.0524605
+0.0515585
+0.0507352
+0.0499791
+0.0493054
+0.0487211
+0.0482292
+0.0478327
+0.047534
+0.0467967
+0.0456321
+0.0445375
+0.0435135
+0.042554
+0.0416874
+0.0409198
+0.0401921
+0.0395679
+0.0390476
+0.038561
+0.0381892
+0.037934
+0.0377885
+0.037744
+0.0377778
+0.0379383
+0.0382056
+0.0385897
+0.0390928
+0.0397003
+0.0404162
+0.0412362
+0.0421119
+0.0430473
+0.0440715
+0.0451604
+0.0463258
+0.0475636
+0.0488671
+0.0502158
+0.0516085
+0.0530451
+0.0545138
+0.0559855
+0.057503
+0.0590628
+0.0606616
+0.0622854
+0.0639104
+0.0655671
+0.0672519
+0.068965
+0.0707046
+0.0724686
+0.0742553
+0.0760632
+0.0778907
+0.0797365
+0.0815994
+0.0834643
+0.0853068
+0.0871654
+0.0890391
+0.090927
+0.0928211
+0.0947153
+0.0966221
+0.0985407
+0.10047
+0.101494
+0.102031
+0.102588
+0.103188
+0.103831
+0.0928397
+0.0909802
+0.0891336
+0.0873028
+0.085489
+0.0836933
+0.0819167
+0.0801607
+0.0784265
+0.0767157
+0.0750299
+0.0733707
+0.0717401
+0.07014
+0.0685725
+0.06704
+0.0655449
+0.0640819
+0.0626601
+0.0612836
+0.0599555
+0.0586792
+0.0574581
+0.0562958
+0.055196
+0.0541625
+0.0531992
+0.05231
+0.0514986
+0.0507689
+0.0501092
+0.0495343
+0.0490506
+0.0481103
+0.0467805
+0.0455102
+0.0443119
+0.043184
+0.0421232
+0.041131
+0.0402337
+0.0394378
+0.0386917
+0.0380429
+0.0374759
+0.0369641
+0.036576
+0.0363114
+0.0361594
+0.0360937
+0.0361291
+0.0362951
+0.0365681
+0.0369691
+0.037494
+0.038127
+0.0388719
+0.0397238
+0.0406092
+0.0415784
+0.0426379
+0.0437624
+0.044964
+0.0462371
+0.0475373
+0.0488973
+0.050316
+0.0517468
+0.0532048
+0.0547118
+0.0562636
+0.0578569
+0.0594509
+0.0610727
+0.0627263
+0.0644108
+0.066125
+0.0678666
+0.0696336
+0.0714241
+0.0732363
+0.0750687
+0.0769199
+0.0787873
+0.0806176
+0.0824655
+0.0843298
+0.0862095
+0.0881036
+0.0899967
+0.0918969
+0.0938098
+0.0957346
+0.0976706
+0.0996171
+0.100438
+0.100956
+0.101519
+0.102126
+0.102775
+0.0933006
+0.0914518
+0.0896183
+0.0878013
+0.0860002
+0.0842153
+0.08245
+0.0807056
+0.0789834
+0.0772849
+0.0756117
+0.0739656
+0.0723484
+0.0707621
+0.0692087
+0.0676906
+0.0662102
+0.0647622
+0.0633556
+0.0619946
+0.0606821
+0.0594214
+0.0582159
+0.057069
+0.0559844
+0.0549657
+0.0540168
+0.0531412
+0.0523427
+0.0516249
+0.0509912
+0.0498238
+0.0483552
+0.0469429
+0.0455906
+0.0442856
+0.0430526
+0.0418923
+0.0407956
+0.03977
+0.038841
+0.0380157
+0.0372546
+0.0365804
+0.0359553
+0.0354306
+0.0350256
+0.0347511
+0.0345828
+0.0345037
+0.0345406
+0.0347057
+0.0349911
+0.03541
+0.0359577
+0.0366172
+0.0373922
+0.0382609
+0.0391714
+0.0401753
+0.0412708
+0.0424314
+0.0436365
+0.044901
+0.0462348
+0.0476306
+0.0490194
+0.0504612
+0.0519553
+0.0534974
+0.055066
+0.0566439
+0.0582611
+0.059911
+0.0615946
+0.0633092
+0.0650524
+0.066822
+0.0686159
+0.0704323
+0.0722693
+0.0741257
+0.0759548
+0.0777901
+0.0796434
+0.0815134
+0.083399
+0.0852983
+0.0871908
+0.089097
+0.091016
+0.0929471
+0.0948894
+0.0968423
+0.0987354
+0.0993946
+0.0999181
+0.100487
+0.101099
+0.101756
+0.0938104
+0.0919718
+0.090149
+0.0883428
+0.0865545
+0.084785
+0.0830356
+0.0813058
+0.0795966
+0.0779115
+0.0762521
+0.0746202
+0.0730174
+0.0714459
+0.0699077
+0.0684051
+0.0669405
+0.0655087
+0.0641185
+0.062774
+0.0614782
+0.0602341
+0.0590452
+0.0579148
+0.0568463
+0.0558434
+0.0549096
+0.0540485
+0.0532636
+0.0519162
+0.0503321
+0.0487946
+0.0472955
+0.0458506
+0.0444667
+0.0431303
+0.0418632
+0.0406642
+0.0395325
+0.0384733
+0.0375122
+0.0366534
+0.0358751
+0.0351536
+0.0345055
+0.0339564
+0.0335354
+0.0332442
+0.0330405
+0.0329593
+0.032998
+0.0331816
+0.0334832
+0.0339207
+0.0344921
+0.0351791
+0.0359424
+0.0368045
+0.0377688
+0.0388329
+0.0399439
+0.041095
+0.0423274
+0.0436299
+0.0449589
+0.0463342
+0.0477609
+0.0492395
+0.0507696
+0.0522991
+0.0538689
+0.0554787
+0.0571249
+0.0588067
+0.060521
+0.0622652
+0.0640369
+0.0658338
+0.0676539
+0.0694954
+0.0713236
+0.0731439
+0.074984
+0.0768425
+0.078718
+0.0806095
+0.0825072
+0.0844054
+0.0863175
+0.0882426
+0.0901798
+0.0921284
+0.0940876
+0.0960568
+0.0978324
+0.0983887
+0.0989175
+0.0994917
+0.100111
+0.100771
+0.0943683
+0.0925408
+0.0907294
+0.0889351
+0.0871589
+0.0854019
+0.0836654
+0.0819506
+0.0802591
+0.0785922
+0.0769496
+0.0753327
+0.0737454
+0.0721898
+0.0706678
+0.0691817
+0.0677339
+0.0663192
+0.0649464
+0.0636194
+0.0623411
+0.0611146
+0.0599432
+0.05883
+0.0577785
+0.056792
+0.055874
+0.0543542
+0.0526613
+0.0510063
+0.049393
+0.0478257
+0.0463074
+0.04483
+0.0434126
+0.0420393
+0.0407339
+0.039507
+0.0383306
+0.0372375
+0.0362439
+0.0353539
+0.0345393
+0.0337864
+0.0331271
+0.0325483
+0.0320965
+0.0317737
+0.0315559
+0.0314736
+0.0315176
+0.0317097
+0.0320313
+0.0324883
+0.03308
+0.0337444
+0.0345171
+0.0354082
+0.0364095
+0.0375122
+0.038634
+0.0398229
+0.041066
+0.0423453
+0.0436931
+0.045107
+0.0465714
+0.0480608
+0.0495713
+0.051131
+0.0527315
+0.0543726
+0.0560514
+0.0577644
+0.0595088
+0.0612818
+0.0630811
+0.0649005
+0.0667306
+0.0685329
+0.0703571
+0.0722018
+0.0740653
+0.0759462
+0.0778434
+0.0797387
+0.0816426
+0.0835605
+0.0854915
+0.0874348
+0.0893895
+0.0913506
+0.0933022
+0.0952618
+0.0969299
+0.0974174
+0.0979515
+0.0985314
+0.0991563
+0.0998224
+0.0949735
+0.0931579
+0.0913587
+0.089577
+0.0878137
+0.0860701
+0.0843474
+0.0826468
+0.0809698
+0.0793178
+0.0776925
+0.0760955
+0.0745287
+0.0729919
+0.071487
+0.0700183
+0.0685881
+0.0671914
+0.0658368
+0.0645281
+0.0632682
+0.06206
+0.0609067
+0.0598115
+0.0587775
+0.0571091
+0.0553271
+0.0535754
+0.0518571
+0.0501756
+0.0485347
+0.046936
+0.0453745
+0.043866
+0.042414
+0.0410038
+0.0396644
+0.0384033
+0.0372103
+0.0360832
+0.0350569
+0.0341406
+0.0332711
+0.0324821
+0.0317877
+0.0311841
+0.0307005
+0.030362
+0.0301403
+0.030042
+0.0300846
+0.030275
+0.0306018
+0.0310736
+0.0316671
+0.0323609
+0.0331654
+0.0340919
+0.0351248
+0.0362494
+0.0374065
+0.0385622
+0.0398014
+0.0411158
+0.0425026
+0.0439548
+0.0453955
+0.0468895
+0.0484351
+0.0500253
+0.0516596
+0.0533337
+0.0550441
+0.0567875
+0.058555
+0.0603448
+0.0621603
+0.0639645
+0.0657696
+0.0675974
+0.0694463
+0.0713145
+0.0732002
+0.0750904
+0.0769927
+0.0789046
+0.0808281
+0.0827649
+0.084714
+0.0866645
+0.0886092
+0.0905644
+0.0925302
+0.0945059
+0.0959939
+0.0964861
+0.0970253
+0.0976107
+0.0982414
+0.0989137
+0.0956251
+0.0938221
+0.0920359
+0.0902675
+0.088518
+0.0867886
+0.0850804
+0.0833947
+0.0817331
+0.0800968
+0.0784876
+0.0769072
+0.0753573
+0.0738398
+0.0723569
+0.0709106
+0.0695009
+0.0681229
+0.0667872
+0.0654975
+0.0642565
+0.0630674
+0.0619328
+0.0601354
+0.0582801
+0.0564488
+0.054644
+0.0528684
+0.0511217
+0.0494061
+0.0477294
+0.0460958
+0.0445049
+0.0429658
+0.0414844
+0.0400541
+0.0386895
+0.0373885
+0.0361601
+0.0350237
+0.0339449
+0.0329414
+0.0320544
+0.031234
+0.0305287
+0.0298869
+0.0293761
+0.0290165
+0.0287599
+0.0286461
+0.0286908
+0.0288836
+0.0292259
+0.029711
+0.0303312
+0.0310579
+0.0318953
+0.0328535
+0.0339119
+0.0350535
+0.0361505
+0.0373412
+0.0386151
+0.0399686
+0.0413786
+0.0427886
+0.0442622
+0.0457895
+0.0473672
+0.0489922
+0.0506597
+0.0523574
+0.0540861
+0.0558473
+0.0576379
+0.0594489
+0.0612303
+0.0630375
+0.0648683
+0.06672
+0.0685789
+0.070457
+0.0723526
+0.0742603
+0.0761793
+0.0781127
+0.0800593
+0.082002
+0.0839396
+0.0858894
+0.0878506
+0.0898223
+0.0917987
+0.0937518
+0.0950991
+0.0955959
+0.0961401
+0.0967308
+0.0973673
+0.0980103
+0.0962502
+0.0944824
+0.0927325
+0.0910018
+0.0892705
+0.0875559
+0.085863
+0.084193
+0.0825474
+0.0809277
+0.0793353
+0.0777721
+0.0762398
+0.0747403
+0.0732755
+0.0718478
+0.0704592
+0.0691113
+0.067795
+0.0665249
+0.0652555
+0.0633563
+0.0614421
+0.0595469
+0.0576727
+0.0558215
+0.0539957
+0.0521981
+0.0504315
+0.0486994
+0.047005
+0.0453459
+0.0437277
+0.0421603
+0.0406503
+0.0391896
+0.0377994
+0.0364712
+0.0352108
+0.0340051
+0.032863
+0.0318254
+0.0308768
+0.0300289
+0.0293064
+0.0286368
+0.0281187
+0.0277416
+0.0274731
+0.0273545
+0.0274013
+0.0275961
+0.0279509
+0.0284395
+0.0290605
+0.0298243
+0.0307191
+0.031705
+0.0328005
+0.0338508
+0.0349826
+0.036207
+0.0375194
+0.0388675
+0.0402463
+0.0416946
+0.0432041
+0.0447657
+0.0463669
+0.0480115
+0.0496983
+0.0514231
+0.0531822
+0.0549723
+0.0567488
+0.0585304
+0.060339
+0.0621575
+0.063999
+0.0658619
+0.0677444
+0.0696449
+0.0715577
+0.073482
+0.0754209
+0.0773679
+0.0792978
+0.0812408
+0.0831961
+0.0851629
+0.0871404
+0.0890999
+0.0910582
+0.0930268
+0.0942467
+0.094748
+0.095297
+0.095893
+0.0965349
+0.0971453
+0.096839
+0.095082
+0.0933435
+0.0916243
+0.0899256
+0.0882486
+0.0865945
+0.0849648
+0.0833607
+0.0817839
+0.0802339
+0.0786885
+0.0771744
+0.0756934
+0.0742475
+0.0728388
+0.0714695
+0.0701418
+0.0686411
+0.0666946
+0.0647637
+0.0628498
+0.0609451
+0.0590339
+0.0571429
+0.055274
+0.0534295
+0.0516121
+0.0498248
+0.0480708
+0.046354
+0.0446787
+0.0430479
+0.041455
+0.0399077
+0.0384009
+0.0369471
+0.0355597
+0.0342562
+0.0330311
+0.0318811
+0.0307803
+0.0298001
+0.0289342
+0.0281837
+0.0274868
+0.0269504
+0.0265801
+0.0263006
+0.0261772
+0.026226
+0.0263982
+0.0267367
+0.0272387
+0.0278805
+0.0286757
+0.0295828
+0.0305874
+0.0316565
+0.0327474
+0.033911
+0.0351615
+0.036443
+0.0377773
+0.0391765
+0.0406456
+0.0421774
+0.0437652
+0.0454033
+0.0470863
+0.0488096
+0.0505665
+0.0523264
+0.0540762
+0.0558571
+0.0576501
+0.0594698
+0.0613138
+0.0631799
+0.0650662
+0.0669711
+0.0688884
+0.0708175
+0.0727614
+0.0746887
+0.0766233
+0.0785714
+0.080532
+0.0825037
+0.0844759
+0.0864279
+0.0883911
+0.0903647
+0.0923482
+0.0934379
+0.0939435
+0.0944972
+0.0950982
+0.0957455
+0.0963223
+0.0970444
+0.0957259
+0.0940015
+0.0922945
+0.0906084
+0.0889443
+0.0873034
+0.0856871
+0.0840969
+0.0825341
+0.0810004
+0.0794975
+0.0780272
+0.0765914
+0.0751919
+0.0738309
+0.0721954
+0.0702117
+0.0682397
+0.0662814
+0.0643381
+0.0624112
+0.0605022
+0.0585984
+0.0566929
+0.0548086
+0.0529479
+0.0511134
+0.049308
+0.0475324
+0.0457814
+0.0440696
+0.042402
+0.0407785
+0.0391896
+0.0376453
+0.0361611
+0.0347469
+0.0333871
+0.0321149
+0.0309339
+0.0298192
+0.0288124
+0.0279093
+0.0271457
+0.0264538
+0.0258735
+0.0254532
+0.025161
+0.0250577
+0.0250966
+0.0252642
+0.0256187
+0.0261499
+0.0268179
+0.0276152
+0.028534
+0.0295241
+0.0305648
+0.0316822
+0.0328484
+0.0340485
+0.0353438
+0.0367158
+0.0381539
+0.0396609
+0.0412293
+0.0428523
+0.0445239
+0.0462389
+0.0479766
+0.0496864
+0.0514327
+0.0532119
+0.055004
+0.056824
+0.0586693
+0.0605376
+0.0624269
+0.0643354
+0.0662565
+0.0681897
+0.0701188
+0.072043
+0.0739819
+0.0759346
+0.0778957
+0.0798688
+0.0818289
+0.0837853
+0.085753
+0.0877313
+0.0897195
+0.0917168
+0.0926739
+0.0931836
+0.0937418
+0.0943476
+0.095
+0.0955424
+0.0961756
+0.0953618
+0.0945917
+0.0930052
+0.0913352
+0.0896876
+0.0880611
+0.086459
+0.0848832
+0.0833352
+0.0818165
+0.0803289
+0.0788741
+0.0774539
+0.0758957
+0.073883
+0.0718807
+0.0698881
+0.0679066
+0.0659384
+0.0639847
+0.0620468
+0.0601263
+0.0582248
+0.0563101
+0.0544103
+0.0525331
+0.0506811
+0.0488533
+0.0470494
+0.0452797
+0.0435482
+0.0418542
+0.0401906
+0.0385736
+0.0369902
+0.0354692
+0.0340064
+0.0326157
+0.0313121
+0.0300997
+0.0289846
+0.0279478
+0.0270073
+0.0261881
+0.025471
+0.0248677
+0.0244418
+0.0241374
+0.0240292
+0.0240611
+0.0242364
+0.0246058
+0.0251361
+0.0257942
+0.0266169
+0.0275511
+0.0285165
+0.0295664
+0.0306406
+0.0317732
+0.0330124
+0.0343468
+0.0357571
+0.0372322
+0.0387751
+0.0403779
+0.0420338
+0.0437367
+0.0454009
+0.0471023
+0.0488428
+0.0506168
+0.0524074
+0.054226
+0.0560713
+0.0579406
+0.0598316
+0.0617426
+0.0636665
+0.0655964
+0.0675073
+0.0694347
+0.0713732
+0.0733255
+0.0752909
+0.0772667
+0.0792146
+0.0811749
+0.0831467
+0.0851291
+0.0871216
+0.08909
+0.0910536
+0.0919557
+0.0924694
+0.0930319
+0.0936422
+0.0942696
+0.0948068
+0.0953492
+0.0945283
+0.0937514
+0.0930196
+0.0921018
+0.0904681
+0.0888585
+0.0872741
+0.0857164
+0.0841856
+0.0826826
+0.0812109
+0.0797254
+0.0776883
+0.0756598
+0.0736407
+0.0716316
+0.0696318
+0.0676429
+0.0656668
+0.0637047
+0.061758
+0.0598282
+0.0579102
+0.0559819
+0.0540735
+0.0521874
+0.0503258
+0.0484826
+0.0466644
+0.0448784
+0.043109
+0.04138
+0.0396966
+0.0380363
+0.0364274
+0.0348819
+0.0333933
+0.031976
+0.0306453
+0.0294053
+0.0282738
+0.0271858
+0.0261972
+0.0253498
+0.0246062
+0.0240116
+0.0235342
+0.0232179
+0.0231008
+0.0231472
+0.0233173
+0.0236617
+0.0242003
+0.024889
+0.0256873
+0.026613
+0.0276119
+0.0285986
+0.0296474
+0.0308164
+0.0320927
+0.0334638
+0.0349097
+0.0364192
+0.0379951
+0.0396294
+0.041252
+0.0428943
+0.0445838
+0.0463122
+0.0480757
+0.0498681
+0.0516833
+0.0535265
+0.055395
+0.0572864
+0.0591984
+0.061123
+0.063026
+0.0649347
+0.0668596
+0.0688004
+0.0707558
+0.0727247
+0.0746855
+0.0766364
+0.0785999
+0.0805751
+0.0825612
+0.0845371
+0.086493
+0.08846
+0.0904373
+0.0912845
+0.0918019
+0.0923685
+0.0929832
+0.0935753
+0.0941165
+0.0945663
+0.0937386
+0.0929551
+0.092217
+0.0915254
+0.0908813
+0.0896997
+0.0881305
+0.0865882
+0.0850744
+0.0835907
+0.0816103
+0.0795612
+0.0775198
+0.0754868
+0.0734629
+0.0714488
+0.0694438
+0.0674493
+0.0654674
+0.0634992
+0.061546
+0.0595978
+0.0576652
+0.0557312
+0.053814
+0.0519184
+0.0500469
+0.0482023
+0.0463624
+0.0445443
+0.0427611
+0.0410104
+0.0392886
+0.0376157
+0.0359894
+0.0344236
+0.032914
+0.0314761
+0.0301233
+0.0288252
+0.0276028
+0.0265054
+0.0255123
+0.0246229
+0.0238335
+0.0232211
+0.0227255
+0.0223971
+0.0222397
+0.0222957
+0.0224811
+0.0228591
+0.0233834
+0.024051
+0.0248764
+0.0257954
+0.0267368
+0.0277055
+0.0287869
+0.0299895
+0.0312994
+0.0327038
+0.0341819
+0.0357222
+0.0372855
+0.0388485
+0.0404698
+0.0421375
+0.0438501
+0.0456036
+0.0473934
+0.0492042
+0.0510429
+0.0529084
+0.0547981
+0.0567048
+0.058598
+0.060496
+0.062404
+0.0643301
+0.0662726
+0.0682301
+0.0702014
+0.072145
+0.074098
+0.076064
+0.0780419
+0.0800168
+0.0819715
+0.0839301
+0.0858999
+0.0878801
+0.0898702
+0.0906612
+0.0911822
+0.0917526
+0.0923714
+0.0929274
+0.0934724
+0.0938281
+0.0929938
+0.0922039
+0.0914598
+0.0907624
+0.0901129
+0.0895123
+0.0889616
+0.0874896
+0.0856329
+0.0835676
+0.0815088
+0.0794571
+0.077413
+0.0753771
+0.0733502
+0.0713329
+0.0693185
+0.0673085
+0.0653101
+0.0633244
+0.0613527
+0.0593964
+0.0574569
+0.0555203
+0.0536014
+0.0517032
+0.0498197
+0.0479621
+0.0461337
+0.0442875
+0.0424727
+0.040695
+0.0389593
+0.0372716
+0.0356386
+0.0340683
+0.0325454
+0.0310531
+0.0296476
+0.028331
+0.0270863
+0.025955
+0.0249265
+0.0240183
+0.0232135
+0.0225767
+0.0220659
+0.0217294
+0.0215672
+0.0215972
+0.0217509
+0.0221215
+0.0226733
+0.0233612
+0.0242176
+0.0250573
+0.0259156
+0.0269252
+0.0280636
+0.0292959
+0.0306355
+0.032069
+0.0335661
+0.0350212
+0.0365492
+0.0381355
+0.0397791
+0.0414733
+0.0432122
+0.0449905
+0.0467979
+0.0486299
+0.0504896
+0.0523722
+0.0542396
+0.0561304
+0.0580199
+0.0599267
+0.0618524
+0.0637951
+0.0657534
+0.0677101
+0.0696497
+0.0716037
+0.0735711
+0.0755279
+0.0774934
+0.0794439
+0.0814044
+0.0833763
+0.0853588
+0.0873514
+0.0893513
+0.0900869
+0.0906112
+0.0911851
+0.0918078
+0.092327
+0.0928755
+0.0931356
+0.092295
+0.0914991
+0.0907492
+0.0900463
+0.0893916
+0.0887861
+0.0882309
+0.0876558
+0.0855835
+0.0835173
+0.0814576
+0.0794049
+0.0773598
+0.0753136
+0.0732715
+0.0712383
+0.0692147
+0.0672016
+0.0652
+0.0632108
+0.0612355
+0.0592752
+0.0573317
+0.0553892
+0.0534649
+0.0515617
+0.0496752
+0.047812
+0.0459593
+0.0441046
+0.0422819
+0.0404958
+0.0387512
+0.037054
+0.035411
+0.0338077
+0.0322374
+0.0307302
+0.0293092
+0.0279877
+0.0267242
+0.0255606
+0.0245133
+0.0235993
+0.0227797
+0.0221195
+0.0215705
+0.0211813
+0.0210056
+0.020978
+0.0211488
+0.021528
+0.0220794
+0.0227811
+0.0235671
+0.0243768
+0.0252582
+0.0262931
+0.027464
+0.0287351
+0.0301023
+0.0314887
+0.0328898
+0.0343664
+0.0359154
+0.0375283
+0.0391968
+0.0409079
+0.0426629
+0.0444566
+0.0462844
+0.0481386
+0.0499794
+0.0518423
+0.0537248
+0.0556063
+0.0575097
+0.0594328
+0.0613735
+0.0633205
+0.0652658
+0.0672045
+0.0691538
+0.071093
+0.0730465
+0.0750093
+0.076958
+0.0789194
+0.0808911
+0.0828723
+0.0848637
+0.0868648
+0.0888748
+0.0895625
+0.0900899
+0.0906671
+0.0912725
+0.091775
+0.0923267
+0.0924897
+0.0916432
+0.0908417
+0.0900862
+0.0893781
+0.0887185
+0.0881084
+0.0875489
+0.0870409
+0.0855881
+0.0835199
+0.0814561
+0.0793913
+0.0773329
+0.0752819
+0.0732389
+0.0712048
+0.0691802
+0.0671661
+0.0651633
+0.063173
+0.0611964
+0.0592349
+0.0572741
+0.0553286
+0.053402
+0.0514966
+0.0496147
+0.0477557
+0.0458878
+0.04403
+0.0422041
+0.0404145
+0.0386663
+0.0369652
+0.0352945
+0.0336543
+0.0320765
+0.0305613
+0.029123
+0.0277411
+0.0264602
+0.0252844
+0.0242248
+0.0232844
+0.0224313
+0.0217416
+0.0211645
+0.0207692
+0.0205781
+0.0205208
+0.0206806
+0.0210334
+0.02154
+0.0222212
+0.0230252
+0.0238257
+0.0247268
+0.025783
+0.0269711
+0.0282604
+0.0295735
+0.0309062
+0.0323326
+0.0338317
+0.0353957
+0.0370233
+0.0387065
+0.0404384
+0.0422129
+0.0440249
+0.0458332
+0.0476624
+0.0495209
+0.0513896
+0.0532602
+0.0551456
+0.0570529
+0.0589798
+0.0609245
+0.0628792
+0.0648011
+0.0667231
+0.0686611
+0.0706139
+0.0725689
+0.0745138
+0.0764719
+0.0784423
+0.0804241
+0.0824165
+0.0844187
+0.0864301
+0.08845
+0.0890889
+0.0896191
+0.0901993
+0.090767
+0.0912722
+0.0918174
+0.0918845
+0.0910395
+0.0902326
+0.089472
+0.088759
+0.0880948
+0.0874803
+0.0869168
+0.0864051
+0.085629
+0.0835573
+0.0814863
+0.0794217
+0.077364
+0.0753139
+0.0732718
+0.0712386
+0.069215
+0.0672019
+0.0652003
+0.0632112
+0.0612358
+0.0592611
+0.0572993
+0.0553546
+0.053429
+0.0515079
+0.0496069
+0.0477307
+0.0458824
+0.0440504
+0.0422251
+0.0404337
+0.0386612
+0.0369336
+0.0352575
+0.0336346
+0.0320477
+0.0305263
+0.0290462
+0.0276606
+0.026376
+0.0251963
+0.024116
+0.0231483
+0.0222899
+0.0215529
+0.0209517
+0.0205054
+0.0202574
+0.0201825
+0.0203048
+0.020654
+0.0211748
+0.0218055
+0.0225336
+0.0234245
+0.0243712
+0.0254422
+0.0266454
+0.0278719
+0.0291178
+0.030467
+0.0318953
+0.0334064
+0.0349894
+0.0366351
+0.0383353
+0.0400832
+0.04185
+0.0436262
+0.0454385
+0.047283
+0.0491056
+0.0509564
+0.0528332
+0.0547333
+0.0566544
+0.0585944
+0.060521
+0.0624316
+0.0643497
+0.0662847
+0.0682352
+0.0701718
+0.0721147
+0.0740714
+0.0760409
+0.0780222
+0.0800145
+0.0820168
+0.0840285
+0.086049
+0.0878754
+0.0886207
+0.0891996
+0.0897826
+0.0903117
+0.0908099
+0.0913573
+0.0913146
+0.0904673
+0.0896656
+0.0889076
+0.08819
+0.0875215
+0.086903
+0.0863356
+0.0858205
+0.0853585
+0.0836436
+0.0815747
+0.0795124
+0.0774571
+0.0754095
+0.0733702
+0.0713397
+0.0693191
+0.0673091
+0.0653108
+0.0633251
+0.0613403
+0.0593664
+0.0573979
+0.0554392
+0.0534985
+0.0515778
+0.0496795
+0.0478062
+0.0459609
+0.0441472
+0.0423281
+0.0405201
+0.0387515
+0.0370281
+0.0353395
+0.0336869
+0.0320988
+0.0305852
+0.0291309
+0.0277495
+0.0264732
+0.0252667
+0.0241467
+0.0230997
+0.0222185
+0.0214613
+0.0208189
+0.0203697
+0.0201114
+0.0200337
+0.0201511
+0.0204429
+0.0208796
+0.0214953
+0.022233
+0.0231519
+0.0241756
+0.0252549
+0.0264013
+0.0275397
+0.0288
+0.0301536
+0.0315961
+0.0331187
+0.0347108
+0.0363651
+0.0380692
+0.0397841
+0.0415331
+0.0433223
+0.0451006
+0.0469048
+0.0487407
+0.0506048
+0.0524941
+0.0544061
+0.0563047
+0.0582169
+0.0601284
+0.0620403
+0.0639702
+0.0659025
+0.0678314
+0.0697707
+0.0717244
+0.0736916
+0.075671
+0.0776617
+0.0796629
+0.0816739
+0.0836939
+0.0857142
+0.0873112
+0.0880614
+0.0888322
+0.0894176
+0.0898978
+0.0903977
+0.0909475
+0.090794
+0.0899419
+0.0891354
+0.0883759
+0.0876646
+0.0869995
+0.0863773
+0.0858065
+0.0852882
+0.0848232
+0.083787
+0.0817218
+0.0796633
+0.077612
+0.0755686
+0.0735336
+0.0715058
+0.069481
+0.0674667
+0.0654636
+0.063473
+0.061496
+0.0595142
+0.0575442
+0.0555906
+0.0536554
+0.0517405
+0.0498484
+0.0479816
+0.0461434
+0.0443372
+0.0425236
+0.0407243
+0.038965
+0.0372213
+0.0355212
+0.0338774
+0.0322987
+0.030795
+0.0293511
+0.0279639
+0.0266184
+0.0253438
+0.0241889
+0.0231709
+0.0222798
+0.0215078
+0.0208443
+0.0203953
+0.0201188
+0.0199872
+0.0200589
+0.020349
+0.0207872
+0.0213933
+0.0221293
+0.0230382
+0.0240102
+0.025082
+0.0261872
+0.0273346
+0.0286039
+0.0299735
+0.0314198
+0.0329483
+0.0345466
+0.0361812
+0.0378563
+0.0395693
+0.0412886
+0.0430297
+0.0448101
+0.0466256
+0.0484721
+0.0503461
+0.0522076
+0.0540873
+0.0559895
+0.0578956
+0.059802
+0.0617183
+0.0636246
+0.0655486
+0.0674875
+0.0694364
+0.0713993
+0.0733752
+0.0753629
+0.0773615
+0.07937
+0.0813705
+0.0833802
+0.0853989
+0.0867988
+0.0875533
+0.0883557
+0.0890842
+0.089535
+0.0900369
+0.090589
+0.0903236
+0.089467
+0.0886562
+0.0878926
+0.0871773
+0.0865116
+0.0858936
+0.0853262
+0.0848091
+0.0843415
+0.0839286
+0.0819272
+0.0798683
+0.0778144
+0.0757683
+0.0737304
+0.0717016
+0.0696825
+0.0676742
+0.0656775
+0.0636935
+0.0617136
+0.0597357
+0.0577732
+0.0558276
+0.0539009
+0.0519951
+0.0501125
+0.048256
+0.0464287
+0.0445995
+0.0427969
+0.041031
+0.0392577
+0.037522
+0.0358361
+0.0342075
+0.0326447
+0.0311217
+0.0296077
+0.0281483
+0.0267719
+0.0254937
+0.0243337
+0.0232857
+0.0223718
+0.0216198
+0.0209599
+0.0204962
+0.0202158
+0.0200847
+0.0201561
+0.0204438
+0.0208653
+0.0214815
+0.0221975
+0.0230125
+0.0239252
+0.024964
+0.0260879
+0.0273042
+0.0285749
+0.0299367
+0.0313828
+0.0328949
+0.034461
+0.0360692
+0.0377007
+0.0393738
+0.0410882
+0.0428374
+0.0446255
+0.0464482
+0.0482593
+0.0500963
+0.05196
+0.0538396
+0.0557126
+0.057608
+0.0595222
+0.0614185
+0.0633338
+0.0652664
+0.0672133
+0.0691699
+0.0711402
+0.073123
+0.0751021
+0.0770889
+0.0790859
+0.0810929
+0.0831092
+0.0851342
+0.0863388
+0.0870974
+0.0879039
+0.0887573
+0.0892246
+0.0897282
+0.0902821
+0.0899041
+0.0890434
+0.0882288
+0.0874614
+0.0867426
+0.0860735
+0.0854523
+0.084882
+0.0843647
+0.0839014
+0.083493
+0.0821586
+0.0801035
+0.0780559
+0.0760163
+0.0739852
+0.0719636
+0.0699521
+0.0679517
+0.0659634
+0.063981
+0.0619981
+0.0600296
+0.0580771
+0.0561421
+0.0542266
+0.0523327
+0.0504628
+0.0486126
+0.0467596
+0.0449369
+0.0431485
+0.0413714
+0.0396218
+0.0378987
+0.0362118
+0.0345774
+0.0329669
+0.0313966
+0.0298869
+0.0284325
+0.0270753
+0.0257798
+0.0245917
+0.0235469
+0.0226437
+0.0218604
+0.0212394
+0.0207993
+0.0205467
+0.020399
+0.0203782
+0.0205467
+0.0209443
+0.0214826
+0.0221726
+0.0230205
+0.0239545
+0.0249691
+0.0260914
+0.0272716
+0.0285589
+0.0299514
+0.0313996
+0.0329247
+0.0344287
+0.0359873
+0.037609
+0.0392859
+0.041004
+0.04275
+0.0444938
+0.0462756
+0.0480912
+0.0499235
+0.0517607
+0.0536198
+0.0555002
+0.0574026
+0.0592923
+0.0611957
+0.0631177
+0.0650567
+0.0670004
+0.0689506
+0.0709084
+0.0728773
+0.0748585
+0.076851
+0.0788541
+0.0808669
+0.0828887
+0.0849179
+0.0859323
+0.0866944
+0.0875047
+0.0883619
+0.088967
+0.089472
+0.0900276
+0.0895349
+0.0886707
+0.0878525
+0.0870819
+0.0863599
+0.0856879
+0.0850652
+0.0844923
+0.0839726
+0.0835071
+0.0830968
+0.0824455
+0.0803979
+0.0783579
+0.0763263
+0.0743038
+0.072291
+0.0702889
+0.0682984
+0.0663061
+0.0643203
+0.0623481
+0.0603911
+0.0584506
+0.0565284
+0.0546265
+0.0527447
+0.0508819
+0.0490204
+0.0471834
+0.0453656
+0.0435561
+0.041759
+0.039995
+0.0382751
+0.0366043
+0.0349172
+0.0332889
+0.0317225
+0.0302088
+0.0287669
+0.0273973
+0.0261192
+0.0249532
+0.0239033
+0.0230146
+0.0222334
+0.0215493
+0.0210717
+0.0207382
+0.0205754
+0.0205309
+0.0206981
+0.0210791
+0.0215985
+0.0222849
+0.0231512
+0.024074
+0.0250969
+0.0261643
+0.0273357
+0.0286271
+0.0300135
+0.0314299
+0.0329299
+0.0344668
+0.0360238
+0.0376439
+0.0393127
+0.0409686
+0.0426728
+0.0444196
+0.0461898
+0.04797
+0.0497829
+0.0516251
+0.0534889
+0.0553664
+0.0572399
+0.0591353
+0.0610417
+0.0629478
+0.0648718
+0.0668102
+0.0687568
+0.0707177
+0.0726917
+0.0746778
+0.076675
+0.0786826
+0.0806996
+0.0827075
+0.0847052
+0.08558
+0.0863451
+0.0871587
+0.0880192
+0.0887544
+0.0892606
+0.0898174
+0.0892124
+0.088345
+0.0875238
+0.0867502
+0.0860255
+0.0853508
+0.0847274
+0.0841565
+0.083636
+0.0831686
+0.0827567
+0.0824009
+0.0807506
+0.0787198
+0.0766978
+0.0746853
+0.0726831
+0.0706911
+0.0686923
+0.0667055
+0.0647319
+0.0627727
+0.0608293
+0.0589033
+0.0569924
+0.0550991
+0.0532285
+0.0513687
+0.0495218
+0.0476688
+0.0458182
+0.0439988
+0.0422148
+0.0404541
+0.0387063
+0.036994
+0.0353255
+0.0337169
+0.0321644
+0.0306725
+0.029232
+0.027873
+0.0266251
+0.0254638
+0.0244122
+0.0235028
+0.0226939
+0.0220241
+0.0214808
+0.0210656
+0.0208421
+0.0207772
+0.0209416
+0.0212896
+0.0218446
+0.0225096
+0.0233356
+0.0243008
+0.0252809
+0.0263211
+0.0274916
+0.0287764
+0.0301251
+0.0315365
+0.0330292
+0.034592
+0.036166
+0.037736
+0.0393509
+0.0410053
+0.0426922
+0.0443965
+0.0461419
+0.0479238
+0.0497384
+0.0515715
+0.0534061
+0.0552593
+0.0571363
+0.0590236
+0.060914
+0.062824
+0.0647448
+0.0666797
+0.06863
+0.0705944
+0.0725718
+0.0745611
+0.0765613
+0.0785718
+0.0805542
+0.0825459
+0.0845464
+0.0852824
+0.0860503
+0.0868666
+0.08773
+0.0885933
+0.0891005
+0.0896583
+0.0889427
+0.0880726
+0.0872489
+0.0864728
+0.0857457
+0.0850688
+0.0844434
+0.0838705
+0.0833513
+0.0828866
+0.0824734
+0.0821164
+0.0811609
+0.0791406
+0.0771296
+0.0751287
+0.0731311
+0.0711333
+0.0691473
+0.067174
+0.0652146
+0.0632704
+0.0613373
+0.0594208
+0.057524
+0.0556487
+0.0537824
+0.0519114
+0.0500279
+0.0481683
+0.0463377
+0.0445047
+0.0426979
+0.0409287
+0.0392021
+0.0375073
+0.0358564
+0.0342653
+0.0327435
+0.0312506
+0.029822
+0.0284796
+0.0272433
+0.02609
+0.0250501
+0.0241516
+0.0232975
+0.0225364
+0.0219114
+0.0214836
+0.0212392
+0.0211841
+0.0213463
+0.0217122
+0.0222351
+0.0229024
+0.0237217
+0.024616
+0.0255767
+0.0265703
+0.027702
+0.0289554
+0.0303034
+0.0316971
+0.0331686
+0.0346717
+0.036245
+0.0378301
+0.0394453
+0.0410805
+0.0427368
+0.0444394
+0.0461831
+0.0479635
+0.049742
+0.0515497
+0.053385
+0.0552331
+0.0570795
+0.0589494
+0.0608408
+0.062751
+0.0646719
+0.0666091
+0.0685615
+0.070528
+0.0725073
+0.0744985
+0.0764917
+0.0784642
+0.080448
+0.0824207
+0.0843196
+0.0850397
+0.0858098
+0.0866283
+0.0874941
+0.088405
+0.088994
+0.0895525
+0.0887151
+0.0878533
+0.0870283
+0.0862502
+0.0855212
+0.0848425
+0.0842154
+0.0836409
+0.0831203
+0.0826544
+0.0822443
+0.0818895
+0.0815887
+0.0796195
+0.077621
+0.0756192
+0.0736239
+0.0716399
+0.0696683
+0.0677097
+0.06576
+0.063826
+0.061909
+0.0600108
+0.0581091
+0.0562196
+0.0543367
+0.0524319
+0.0505502
+0.0486943
+0.0468619
+0.0450432
+0.0432589
+0.0415128
+0.0397956
+0.0381205
+0.0364967
+0.0349296
+0.0333926
+0.0319283
+0.0305282
+0.0292143
+0.0279814
+0.0268598
+0.0258309
+0.0247974
+0.0239095
+0.0231255
+0.0225168
+0.0220784
+0.0218406
+0.0217871
+0.0219448
+0.0223047
+0.0228212
+0.0234326
+0.0241743
+0.0250244
+0.025939
+0.0269193
+0.0280368
+0.0292544
+0.0305461
+0.0319211
+0.0333627
+0.0348574
+0.0363807
+0.0379605
+0.0395985
+0.0412374
+0.0428876
+0.0445844
+0.0463056
+0.0480428
+0.0498158
+0.0516204
+0.053412
+0.0552324
+0.0570788
+0.0589487
+0.0608401
+0.0627463
+0.0646669
+0.0666043
+0.0685569
+0.0705235
+0.0725029
+0.074481
+0.0764426
+0.0784163
+0.0803582
+0.0823017
+0.0836833
+0.0848426
+0.0856144
+0.0864348
+0.0873025
+0.0882154
+0.0889414
+0.0895002
+0.0885279
+0.0876643
+0.0868474
+0.0860785
+0.0853524
+0.0846723
+0.0840439
+0.0834683
+0.0829465
+0.0824797
+0.0820687
+0.0817144
+0.0814174
+0.0801535
+0.078151
+0.076159
+0.0741781
+0.0722074
+0.0702459
+0.0682984
+0.066366
+0.0644448
+0.0625103
+0.0605918
+0.0586924
+0.0567738
+0.0548661
+0.0529803
+0.0511188
+0.0492843
+0.0474747
+0.0456745
+0.0439081
+0.0421755
+0.0404832
+0.0388377
+0.0372228
+0.0356693
+0.0341661
+0.0327287
+0.0313578
+0.0300553
+0.0288584
+0.0276921
+0.0265397
+0.0255063
+0.0246059
+0.0238732
+0.0232601
+0.0228253
+0.022588
+0.0225281
+0.0226447
+0.0229657
+0.0234158
+0.0240119
+0.0247628
+0.0255805
+0.026424
+0.0273872
+0.0284866
+0.0296576
+0.0309053
+0.0322455
+0.0336663
+0.0351235
+0.0366287
+0.0382003
+0.0398303
+0.0415094
+0.0431493
+0.0447978
+0.0464882
+0.0482189
+0.0499561
+0.0517125
+0.053501
+0.0553185
+0.0571621
+0.0590294
+0.0609172
+0.0628176
+0.0647362
+0.0666715
+0.0686222
+0.070587
+0.0725454
+0.0744857
+0.0764396
+0.0783639
+0.0798025
+0.0811674
+0.082568
+0.0840023
+0.0854687
+0.0862965
+0.0871656
+0.0880799
+0.0889427
+0.0895015
+0.0883946
+0.0875297
+0.0867115
+0.0859414
+0.0852206
+0.0845475
+0.0839212
+0.0833478
+0.0828284
+0.0823629
+0.0819513
+0.0815964
+0.0812991
+0.0807223
+0.0787344
+0.0767542
+0.0747836
+0.0728256
+0.0708701
+0.0689058
+0.0669556
+0.0650206
+0.0631024
+0.0611901
+0.0592713
+0.0573644
+0.055477
+0.0536127
+0.0517739
+0.0499635
+0.0481606
+0.046377
+0.044629
+0.0429217
+0.0412601
+0.0396255
+0.038044
+0.0365249
+0.0350512
+0.0336323
+0.0322729
+0.0310068
+0.029702
+0.0284625
+0.0273427
+0.026333
+0.0254652
+0.0247296
+0.0241336
+0.0237077
+0.0234149
+0.0233175
+0.0234254
+0.0236648
+0.0240899
+0.0246484
+0.0253823
+0.0261451
+0.0269932
+0.0279378
+0.0290163
+0.0301513
+0.0313839
+0.0326868
+0.0340698
+0.0354999
+0.0369897
+0.0385466
+0.0401626
+0.0417915
+0.0434218
+0.0450931
+0.0467586
+0.0484329
+0.0501471
+0.051897
+0.0536794
+0.055491
+0.057329
+0.0591911
+0.0610696
+0.0629652
+0.0648794
+0.0668106
+0.0687545
+0.0706631
+0.0725876
+0.0745268
+0.0759793
+0.0773466
+0.0786932
+0.080077
+0.0814963
+0.0829491
+0.0844338
+0.0859487
+0.0870835
+0.0879987
+0.0889487
+0.0895564
+0.0883154
+0.0874497
+0.0866308
+0.08586
+0.0851385
+0.0844678
+0.0838485
+0.083275
+0.0827551
+0.0822903
+0.0818815
+0.0815295
+0.0812335
+0.0809941
+0.0793642
+0.077381
+0.0753954
+0.0734214
+0.0714601
+0.0695125
+0.0675798
+0.0656453
+0.0637217
+0.061816
+0.0599172
+0.0580317
+0.0561667
+0.0543261
+0.0525123
+0.0507037
+0.0489142
+0.0471585
+0.0454406
+0.043765
+0.0421191
+0.0405165
+0.0389684
+0.0374666
+0.0360298
+0.0346259
+0.0332524
+0.0318648
+0.0305713
+0.029376
+0.0282658
+0.0272838
+0.0264472
+0.0257034
+0.0250859
+0.0246167
+0.0243275
+0.024208
+0.0242728
+0.0244977
+0.0248887
+0.0254439
+0.0261495
+0.0268618
+0.0277034
+0.0286316
+0.0296457
+0.0307591
+0.0319655
+0.033235
+0.0345773
+0.03597
+0.0374393
+0.0389763
+0.0405734
+0.0421557
+0.0437727
+0.0454324
+0.0470555
+0.048723
+0.0504306
+0.0521729
+0.0539462
+0.0557491
+0.0575789
+0.0594316
+0.0612997
+0.0631884
+0.065096
+0.0669807
+0.0688687
+0.0707742
+0.0721307
+0.0734527
+0.0748155
+0.0762169
+0.0776299
+0.0790323
+0.08047
+0.0819411
+0.0834437
+0.0849762
+0.0865371
+0.0879719
+0.0889222
+0.0896648
+0.0882906
+0.0874246
+0.0866055
+0.0858344
+0.0851128
+0.0844418
+0.0838227
+0.0832568
+0.0827399
+0.082275
+0.081866
+0.081514
+0.0812179
+0.0809785
+0.0799647
+0.0779833
+0.0760134
+0.074056
+0.072111
+0.0701596
+0.0682226
+0.0663014
+0.0643975
+0.0625101
+0.0606255
+0.0587622
+0.0569222
+0.0551078
+0.0533051
+0.0515128
+0.0497524
+0.0480273
+0.0463417
+0.0446884
+0.04307
+0.0414982
+0.0399707
+0.0384838
+0.0370076
+0.0355632
+0.0341514
+0.0328018
+0.0315467
+0.0303921
+0.0293178
+0.0283452
+0.0274703
+0.0267154
+0.0261019
+0.0256429
+0.025335
+0.0252082
+0.0252704
+0.0254855
+0.025849
+0.0263865
+0.0270123
+0.0277162
+0.0284955
+0.0293717
+0.0303685
+0.0314864
+0.0326282
+0.0338455
+0.0351547
+0.0365256
+0.0379733
+0.0394896
+0.0410402
+0.0426105
+0.0442243
+0.0458318
+0.0474413
+0.0490957
+0.0507908
+0.0525225
+0.0542875
+0.0560824
+0.0579046
+0.0597485
+0.0615987
+0.0634565
+0.0653057
+0.0671694
+0.0684165
+0.0696712
+0.0709714
+0.0723146
+0.0736985
+0.0751207
+0.0765792
+0.0780269
+0.0794827
+0.0809717
+0.082492
+0.0840419
+0.0856197
+0.0872183
+0.0888417
+0.0898266
+0.0883144
+0.0874544
+0.0866355
+0.0858648
+0.0851434
+0.0844727
+0.0838538
+0.083288
+0.0827764
+0.0823179
+0.0819092
+0.0815573
+0.0812614
+0.0810221
+0.0806072
+0.0786421
+0.0766828
+0.0747223
+0.0727749
+0.0708417
+0.0689239
+0.0670228
+0.06514
+0.0632594
+0.0613979
+0.0595587
+0.0577441
+0.0559431
+0.0541639
+0.052401
+0.0506714
+0.0489788
+0.0473211
+0.045691
+0.0440999
+0.0425318
+0.0409877
+0.0394458
+0.0379678
+0.0365495
+0.035164
+0.0338548
+0.0326246
+0.0314664
+0.0303963
+0.0294239
+0.0285822
+0.0278254
+0.0272194
+0.0267482
+0.0264472
+0.0263257
+0.0263861
+0.0265978
+0.0269212
+0.027374
+0.0279535
+0.0286278
+0.0293558
+0.030207
+0.0311771
+0.032267
+0.0333634
+0.034557
+0.0358401
+0.0372003
+0.0386244
+0.0400875
+0.0415976
+0.0431449
+0.0447248
+0.0463287
+0.0479242
+0.0495625
+0.0512421
+0.0529591
+0.05471
+0.0564904
+0.0582693
+0.0600703
+0.0618918
+0.0637193
+0.0648539
+0.0660352
+0.0672645
+0.0685403
+0.0698616
+0.0712257
+0.0726303
+0.0740731
+0.0755518
+0.0770598
+0.0785406
+0.0800472
+0.0815847
+0.0831515
+0.0847458
+0.0863606
+0.0879999
+0.0896627
+0.0883772
+0.0875333
+0.086721
+0.0859509
+0.0852303
+0.0845603
+0.0839421
+0.0833769
+0.0828658
+0.0824097
+0.0820097
+0.0816594
+0.0813639
+0.0811249
+0.0809445
+0.079325
+0.0773694
+0.0754268
+0.073498
+0.0715844
+0.069687
+0.0678074
+0.0659337
+0.064075
+0.0622378
+0.0604242
+0.058625
+0.056848
+0.0550966
+0.0533644
+0.0516671
+0.0500072
+0.0483576
+0.046738
+0.0451488
+0.0435339
+0.0419712
+0.0404669
+0.0390205
+0.0375998
+0.0362345
+0.0349532
+0.0337371
+0.0325945
+0.0315395
+0.0305993
+0.0297522
+0.0290214
+0.0284291
+0.0279751
+0.0276875
+0.0275611
+0.0275852
+0.0277488
+0.0280357
+0.0284703
+0.0289968
+0.0296465
+0.03035
+0.0311742
+0.0320891
+0.033093
+0.0341866
+0.0353547
+0.0366145
+0.0379547
+0.0393434
+0.0407726
+0.0422359
+0.0437598
+0.045317
+0.0468661
+0.04846
+0.0500989
+0.0517769
+0.0534546
+0.0551604
+0.0568994
+0.0586658
+0.0604223
+0.0614586
+0.0625546
+0.0637071
+0.064913
+0.066165
+0.0674617
+0.0688036
+0.0701883
+0.0716133
+0.0730761
+0.0745746
+0.076102
+0.0776489
+0.0791724
+0.0807266
+0.0823097
+0.0839201
+0.0855504
+0.0872049
+0.0888826
+0.0884942
+0.0876515
+0.0868558
+0.0860928
+0.0853733
+0.0847045
+0.0840873
+0.0835231
+0.0830129
+0.0825577
+0.0821584
+0.0818158
+0.0815224
+0.0812839
+0.0811038
+0.080049
+0.0781115
+0.0761877
+0.0742788
+0.0723858
+0.07051
+0.0686437
+0.0667885
+0.0649542
+0.0631426
+0.0613461
+0.0595697
+0.0578219
+0.0560992
+0.0543991
+0.0527213
+0.0510521
+0.0494236
+0.0477641
+0.0461369
+0.044558
+0.0430328
+0.0415652
+0.0400986
+0.0386974
+0.0373722
+0.0361105
+0.0349293
+0.0338069
+0.0327735
+0.0318255
+0.030989
+0.0302881
+0.0297252
+0.0292912
+0.0290075
+0.0288646
+0.0288721
+0.0289802
+0.0292054
+0.0295596
+0.0300392
+0.0306585
+0.0313985
+0.0322065
+0.0330619
+0.0340364
+0.0350994
+0.0362543
+0.0374774
+0.0387733
+0.0401167
+0.0415146
+0.0429526
+0.0444461
+0.0459623
+0.0474986
+0.0490719
+0.050691
+0.0523229
+0.0539756
+0.0556654
+0.0573362
+0.0582681
+0.0592612
+0.0603175
+0.0614339
+0.062607
+0.0638337
+0.0651111
+0.0664361
+0.0678
+0.0692047
+0.0706495
+0.0721319
+0.0736497
+0.0751958
+0.0767705
+0.0783492
+0.0799194
+0.0815182
+0.0831439
+0.0847892
+0.0864582
+0.0881501
+0.0886652
+0.0878241
+0.08703
+0.0862843
+0.0855723
+0.0849049
+0.0842893
+0.0837264
+0.0832175
+0.0827634
+0.0823651
+0.0820233
+0.0817363
+0.0814984
+0.0813188
+0.0808258
+0.0789074
+0.0770036
+0.0751153
+0.0732439
+0.0713852
+0.0695341
+0.0677034
+0.0658945
+0.0641014
+0.0623266
+0.060579
+0.0588606
+0.0571668
+0.0554634
+0.0537901
+0.0521019
+0.0504243
+0.0487875
+0.0471957
+0.0456534
+0.044166
+0.042676
+0.0412461
+0.0398852
+0.0385825
+0.0373559
+0.0361622
+0.03505
+0.0340427
+0.0331288
+0.032326
+0.0316547
+0.0311052
+0.0306851
+0.0303926
+0.0302006
+0.0301223
+0.0301802
+0.0303963
+0.0307393
+0.0312
+0.0317789
+0.0324934
+0.0332758
+0.0341046
+0.0350504
+0.036082
+0.0372132
+0.0384122
+0.0396789
+0.0409927
+0.0423461
+0.0437569
+0.0452188
+0.0466924
+0.0482175
+0.0497728
+0.0513444
+0.0529407
+0.0545069
+0.0553149
+0.0561967
+0.0571472
+0.0581595
+0.0592355
+0.0603718
+0.0615652
+0.0628122
+0.06411
+0.0654553
+0.0668453
+0.0682705
+0.0697346
+0.071236
+0.0727724
+0.0743417
+0.0759355
+0.0775572
+0.0791645
+0.0807783
+0.0824186
+0.0840781
+0.085761
+0.0874664
+0.0888702
+0.0880416
+0.0872589
+0.0865151
+0.0858197
+0.0851543
+0.0845404
+0.0839793
+0.0834718
+0.0830191
+0.0826221
+0.0822814
+0.0819979
+0.081771
+0.0815921
+0.0814716
+0.0797556
+0.0778725
+0.0760058
+0.0741548
+0.0723083
+0.0704815
+0.0686727
+0.0668755
+0.0651013
+0.0633525
+0.0616319
+0.0599419
+0.0582412
+0.0565154
+0.054809
+0.0531321
+0.0514882
+0.0498863
+0.0483306
+0.0468059
+0.0452942
+0.04384
+0.042449
+0.0411277
+0.0398249
+0.0385901
+0.0374354
+0.0363622
+0.0353923
+0.034522
+0.0337523
+0.0331038
+0.0325608
+0.0321073
+0.0317406
+0.0315221
+0.0314314
+0.0314869
+0.031694
+0.0320037
+0.0324197
+0.0329752
+0.0336234
+0.0343864
+0.0352223
+0.0361328
+0.0371316
+0.0382122
+0.0393803
+0.0406166
+0.0419011
+0.0432395
+0.0446157
+0.0460152
+0.0474715
+0.0489714
+0.050485
+0.0519308
+0.0526138
+0.0533773
+0.0542176
+0.0551182
+0.0560883
+0.0571206
+0.0582157
+0.0593716
+0.0605847
+0.0618515
+0.063169
+0.0645339
+0.0659434
+0.0673876
+0.0688705
+0.0703904
+0.0719449
+0.0735317
+0.075149
+0.0767933
+0.0784583
+0.0800915
+0.0817456
+0.0834185
+0.0851144
+0.0868325
+0.0891273
+0.0883011
+0.087522
+0.0867906
+0.0860877
+0.0854353
+0.0848326
+0.0842734
+0.0837678
+0.0833167
+0.082921
+0.0825816
+0.0822991
+0.0820741
+0.0819072
+0.0817986
+0.0806544
+0.0787927
+0.0769484
+0.0751078
+0.0732769
+0.0714595
+0.0696636
+0.0678909
+0.0661432
+0.0644227
+0.0627314
+0.060999
+0.0592598
+0.0575514
+0.0558767
+0.0542313
+0.0526217
+0.0510554
+0.0494804
+0.047953
+0.0464787
+0.0450627
+0.0437106
+0.0423747
+0.0411017
+0.0399064
+0.0387907
+0.037756
+0.0368102
+0.0359535
+0.0351953
+0.0345042
+0.0339355
+0.0334833
+0.0331317
+0.0329225
+0.0328345
+0.0328877
+0.0330458
+0.0333185
+0.0337167
+0.0342218
+0.0348343
+0.0355476
+0.0363711
+0.0372857
+0.038256
+0.039306
+0.0404194
+0.0416184
+0.0428599
+0.044162
+0.0454759
+0.0468549
+0.0482748
+0.049689
+0.0502116
+0.0508232
+0.0515209
+0.0522997
+0.053157
+0.0540895
+0.0550811
+0.0561378
+0.0572589
+0.0584365
+0.0596685
+0.0609545
+0.0622909
+0.0636747
+0.0651027
+0.0665652
+0.068066
+0.0696034
+0.0711751
+0.0727788
+0.0744124
+0.076074
+0.0777597
+0.0794592
+0.0811262
+0.0828116
+0.0845197
+0.0862496
+0.0894374
+0.0886141
+0.0878378
+0.0871091
+0.0864089
+0.0857589
+0.0851603
+0.0846142
+0.0841197
+0.0836705
+0.0832765
+0.0829386
+0.0826573
+0.0824333
+0.0822671
+0.0821589
+0.0816021
+0.0797625
+0.0779149
+0.0760821
+0.0742688
+0.0724763
+0.0707062
+0.0689603
+0.0672404
+0.0655421
+0.0637763
+0.0620376
+0.0603283
+0.058651
+0.0570086
+0.0553943
+0.0537795
+0.0521963
+0.0506558
+0.0491647
+0.0477276
+0.0463466
+0.0449758
+0.0436719
+0.0424384
+0.0412819
+0.0402079
+0.0391911
+0.0382475
+0.0373753
+0.0366041
+0.0359352
+0.0353894
+0.0349425
+0.0346057
+0.0344054
+0.0343155
+0.0343254
+0.0344403
+0.0346784
+0.0350351
+0.0355236
+0.0361163
+0.0368011
+0.0375945
+0.03848
+0.0394326
+0.0404491
+0.0415319
+0.0426911
+0.0438733
+0.0451099
+0.0464019
+0.0477255
+0.048189
+0.0486291
+0.0491629
+0.0497875
+0.0504992
+0.0512931
+0.0521669
+0.0531168
+0.0541387
+0.0552168
+0.0563563
+0.0575566
+0.058814
+0.0601238
+0.0614783
+0.06288
+0.0643257
+0.0658054
+0.0673232
+0.0688772
+0.0704651
+0.0720845
+0.0737335
+0.0754101
+0.0771103
+0.0788332
+0.0805616
+0.0822586
+0.0839779
+0.0857188
+0.0897999
+0.08898
+0.0882068
+0.0874814
+0.0867841
+0.086137
+0.085541
+0.0849974
+0.084507
+0.0840709
+0.0836879
+0.0833516
+0.0830718
+0.0828489
+0.0826835
+0.0825759
+0.0825263
+0.0807373
+0.0789093
+0.0771002
+0.0753113
+0.0735442
+0.0718005
+0.0700818
+0.0683454
+0.0665819
+0.0648444
+0.0631351
+0.0614563
+0.0598089
+0.0581593
+0.0565363
+0.0549429
+0.0533918
+0.0518868
+0.0504321
+0.0490143
+0.0476307
+0.0462979
+0.0450322
+0.0438371
+0.0426941
+0.0416117
+0.0406003
+0.0396643
+0.0388251
+0.0380708
+0.0374282
+0.0368877
+0.0364627
+0.0361466
+0.0359286
+0.0357914
+0.0357625
+0.0358676
+0.0360949
+0.0364292
+0.0368741
+0.0373994
+0.0380348
+0.0387837
+0.0396341
+0.0405467
+0.0415549
+0.0426116
+0.0436856
+0.044841
+0.0460559
+0.0465869
+0.0468462
+0.0471971
+0.0476464
+0.0481911
+0.0488281
+0.0495529
+0.0503617
+0.0512514
+0.0522179
+0.0532571
+0.0543647
+0.0555234
+0.0567413
+0.0580164
+0.059345
+0.0607236
+0.0621488
+0.0636141
+0.0651105
+0.0666441
+0.0682136
+0.0698166
+0.0714507
+0.073114
+0.0748045
+0.0765182
+0.0782541
+0.0800123
+0.0817605
+0.0834902
+0.085241
+0.0902142
+0.089398
+0.0886285
+0.0879067
+0.0872128
+0.0865689
+0.0859759
+0.085435
+0.0849472
+0.0845134
+0.0841343
+0.0838109
+0.0835416
+0.08332
+0.0831556
+0.0830486
+0.0829993
+0.081756
+0.0799513
+0.0781663
+0.0764024
+0.0746612
+0.0729441
+0.0711732
+0.0694123
+0.0676766
+0.0659679
+0.0642885
+0.0626159
+0.0609563
+0.0593247
+0.057725
+0.0561653
+0.0546489
+0.0531717
+0.0517168
+0.0503153
+0.0489717
+0.0476839
+0.0464296
+0.045228
+0.0440998
+0.0430365
+0.0420467
+0.0411395
+0.0403279
+0.0396008
+0.038975
+0.0384484
+0.0380388
+0.0376803
+0.0374467
+0.0372943
+0.0372666
+0.0373434
+0.0375242
+0.0377955
+0.0381738
+0.0386726
+0.0392874
+0.0400129
+0.0408205
+0.0417071
+0.0426878
+0.0436747
+0.0447232
+0.0454056
+0.0454723
+0.0456443
+0.0459201
+0.0462878
+0.0467457
+0.0473008
+0.0479496
+0.0486868
+0.0495098
+0.0504145
+0.0513968
+0.0524522
+0.0535765
+0.0547653
+0.056
+0.0572916
+0.0586366
+0.0600315
+0.0614727
+0.0629562
+0.0644683
+0.0660182
+0.0676036
+0.069222
+0.0708711
+0.0725489
+0.0742522
+0.0759806
+0.0777322
+0.0795022
+0.0812924
+0.083049
+0.0846445
+0.090668
+0.089856
+0.0890904
+0.0883726
+0.0876942
+0.0870538
+0.0864641
+0.0859263
+0.0854413
+0.08501
+0.0846332
+0.0843117
+0.084046
+0.0838368
+0.0836805
+0.0835742
+0.0835253
+0.0828202
+0.0810392
+0.0792787
+0.0775401
+0.0758029
+0.0740226
+0.0722647
+0.0705312
+0.0688236
+0.0671341
+0.0654412
+0.0637771
+0.0621424
+0.0605379
+0.0589712
+0.0574389
+0.0559235
+0.054454
+0.0530344
+0.0516686
+0.0503537
+0.0490552
+0.0478192
+0.0466534
+0.0455533
+0.0445173
+0.0435514
+0.0426761
+0.0418837
+0.041184
+0.0405738
+0.0400319
+0.0395703
+0.0392258
+0.0389731
+0.038798
+0.0387235
+0.0387687
+0.0389175
+0.0391785
+0.0395436
+0.0400253
+0.0406021
+0.0412689
+0.0420386
+0.0429
+0.0438245
+0.0447324
+0.0445854
+0.0445458
+0.0446138
+0.044789
+0.0450671
+0.0454418
+0.045914
+0.046479
+0.0471391
+0.0478905
+0.0487288
+0.0496497
+0.0506486
+0.0517212
+0.0528627
+0.054069
+0.0553355
+0.0566422
+0.0580023
+0.0594121
+0.060868
+0.0623669
+0.0638947
+0.0654582
+0.0670568
+0.068688
+0.0703497
+0.0720397
+0.0737548
+0.0754945
+0.0772571
+0.0790412
+0.0808452
+0.0824178
+0.0839323
+0.0911701
+0.0903626
+0.0896014
+0.0888877
+0.0882226
+0.0875908
+0.0870048
+0.0864703
+0.0859884
+0.0855598
+0.0851855
+0.084866
+0.0846021
+0.0843943
+0.0842429
+0.0841444
+0.0840957
+0.0839281
+0.0821711
+0.0804354
+0.0786677
+0.0768912
+0.0751366
+0.0734055
+0.0716965
+0.0699752
+0.0682809
+0.0666154
+0.0649812
+0.063372
+0.0617845
+0.0602348
+0.0587098
+0.0572281
+0.055793
+0.0544083
+0.053047
+0.0517269
+0.0504638
+0.0492631
+0.0481323
+0.0470605
+0.0460455
+0.0451123
+0.0442658
+0.0434942
+0.0427702
+0.0421314
+0.0415791
+0.0411227
+0.0407369
+0.0404529
+0.0402624
+0.040189
+0.0402145
+0.0403579
+0.0405978
+0.0409382
+0.0413833
+0.0419383
+0.042585
+0.043317
+0.0441115
+0.044218
+0.0439602
+0.0438106
+0.0437703
+0.0438395
+0.0440129
+0.0442882
+0.0446694
+0.0451538
+0.045738
+0.046415
+0.0471779
+0.0480286
+0.0489627
+0.0499754
+0.051062
+0.052218
+0.0534389
+0.0547202
+0.0560561
+0.0574369
+0.0588669
+0.0603368
+0.0618486
+0.0633916
+0.0649672
+0.0665776
+0.0682203
+0.0698931
+0.0715939
+0.0733194
+0.0750692
+0.0768416
+0.0786351
+0.0802466
+0.081745
+0.0832718
+0.0917219
+0.0909193
+0.0901628
+0.0894535
+0.0887916
+0.0881697
+0.0875903
+0.0870594
+0.0865807
+0.0861551
+0.0857834
+0.0854662
+0.0852041
+0.0849978
+0.0848475
+0.0847536
+0.0847162
+0.0847274
+0.0833418
+0.0815495
+0.079777
+0.0780258
+0.0762935
+0.0745495
+0.0728296
+0.0711355
+0.0694635
+0.06782
+0.0662016
+0.0646093
+0.0630529
+0.061526
+0.0600338
+0.0585855
+0.0571751
+0.0557824
+0.0544404
+0.0531549
+0.0519265
+0.0507605
+0.0496489
+0.048607
+0.0476254
+0.0467217
+0.045842
+0.045034
+0.0443197
+0.0436871
+0.0431035
+0.042623
+0.0422509
+0.0419601
+0.0417764
+0.0417017
+0.0417044
+0.0418206
+0.0420507
+0.0423728
+0.042803
+0.0433337
+0.0439219
+0.0443735
+0.0439033
+0.043535
+0.0432732
+0.0431212
+0.0430802
+0.0431506
+0.0433258
+0.0436055
+0.0439926
+0.0444843
+0.0450773
+0.0457675
+0.0465507
+0.0474194
+0.0483653
+0.0493902
+0.0504895
+0.0516583
+0.052892
+0.0541863
+0.055535
+0.0569285
+0.0583709
+0.0598588
+0.0613888
+0.0629532
+0.0645468
+0.0661675
+0.0678202
+0.0695026
+0.0712127
+0.0729472
+0.0747057
+0.0764865
+0.0781377
+0.0796158
+0.0811258
+0.0826641
+0.0923223
+0.091525
+0.0907736
+0.0900691
+0.0894047
+0.0887871
+0.0882196
+0.0876952
+0.08722
+0.0867976
+0.0864286
+0.0861137
+0.0858537
+0.0856489
+0.0854997
+0.0854065
+0.0853695
+0.0853886
+0.0844466
+0.0826782
+0.0809083
+0.0791447
+0.0774029
+0.0756845
+0.0739891
+0.0723157
+0.0706706
+0.0690542
+0.0674581
+0.0658962
+0.0643681
+0.062867
+0.0614074
+0.0599626
+0.0585539
+0.0571931
+0.055885
+0.0546323
+0.0534356
+0.0522924
+0.0512107
+0.0501872
+0.0491808
+0.0482529
+0.0473843
+0.0465905
+0.0458654
+0.0452099
+0.0446447
+0.044181
+0.0438065
+0.0435205
+0.0433288
+0.043224
+0.0432252
+0.0433372
+0.0435516
+0.043861
+0.0442473
+0.0447121
+0.0443814
+0.0438019
+0.0433254
+0.042953
+0.0426876
+0.0425335
+0.042492
+0.0425633
+0.0427402
+0.0430236
+0.0434159
+0.0439141
+0.0445147
+0.0452135
+0.0460061
+0.0468878
+0.0478536
+0.0488941
+0.0500043
+0.0511842
+0.0524291
+0.0537345
+0.0550961
+0.0565005
+0.0579536
+0.0594519
+0.0609921
+0.0625711
+0.0641861
+0.0658249
+0.0674888
+0.0691793
+0.0708971
+0.0726392
+0.074405
+0.0760964
+0.077551
+0.0790373
+0.0805559
+0.0821048
+0.0929706
+0.0921788
+0.0914327
+0.0907288
+0.090067
+0.0894539
+0.0888907
+0.0883781
+0.0879093
+0.0874901
+0.0871241
+0.0868118
+0.0865538
+0.0863507
+0.0862027
+0.0861103
+0.0860735
+0.0860925
+0.0855547
+0.0837744
+0.0820139
+0.0802745
+0.0785578
+0.0768607
+0.0751873
+0.0735412
+0.0719239
+0.0703281
+0.0687615
+0.0672299
+0.0657241
+0.0642363
+0.0627793
+0.0613567
+0.0599795
+0.0586517
+0.0573767
+0.056153
+0.0549775
+0.0538258
+0.0527335
+0.0516994
+0.0507219
+0.0497984
+0.0489457
+0.0481446
+0.0474196
+0.0467843
+0.0462384
+0.0457805
+0.0453904
+0.0450939
+0.044902
+0.0447962
+0.0447973
+0.0448931
+0.0450827
+0.0453439
+0.0453863
+0.044605
+0.0439193
+0.0433335
+0.0428519
+0.0424762
+0.0422078
+0.0420519
+0.0420099
+0.042082
+0.0422601
+0.0425467
+0.0429434
+0.043447
+0.0440539
+0.0447599
+0.0455605
+0.0464506
+0.0474253
+0.048475
+0.0495946
+0.050784
+0.0520385
+0.0533534
+0.0547245
+0.0561476
+0.0576166
+0.0591234
+0.060672
+0.0622591
+0.0638819
+0.0655378
+0.0672196
+0.0689239
+0.0706482
+0.0723963
+0.0741261
+0.0755529
+0.0770156
+0.0785121
+0.0800406
+0.0815993
+0.0936655
+0.0928797
+0.092138
+0.0914339
+0.0907772
+0.090169
+0.0896102
+0.0891019
+0.0886447
+0.0882317
+0.0878687
+0.0875591
+0.0873033
+0.0871019
+0.0869552
+0.0868636
+0.0868272
+0.086846
+0.0866563
+0.0848991
+0.0831624
+0.0814466
+0.0797492
+0.0780763
+0.0764295
+0.0748099
+0.0732165
+0.0716462
+0.0701091
+0.0685936
+0.0670882
+0.0656213
+0.0641867
+0.0627951
+0.06145
+0.0601501
+0.0588694
+0.0576294
+0.0564468
+0.0553258
+0.0542627
+0.0532444
+0.0522846
+0.0513794
+0.050511
+0.0497241
+0.0490178
+0.0483851
+0.0478445
+0.0473801
+0.0469941
+0.0466977
+0.0464929
+0.0463906
+0.0463902
+0.0464554
+0.0466031
+0.0459196
+0.0450411
+0.0442538
+0.0435625
+0.0429719
+0.0424862
+0.042108
+0.0418373
+0.04168
+0.0416376
+0.0417104
+0.0418892
+0.0421784
+0.0425785
+0.0430863
+0.0436983
+0.0444099
+0.0452166
+0.0461134
+0.0470951
+0.048152
+0.0492789
+0.0504758
+0.0517377
+0.0530601
+0.0544386
+0.055869
+0.0573475
+0.0588703
+0.0604296
+0.0620229
+0.0636518
+0.0653135
+0.0670057
+0.0687258
+0.0704633
+0.0722189
+0.073631
+0.0750672
+0.0765391
+0.0780448
+0.0795823
+0.0811498
+0.0944062
+0.0936266
+0.0928841
+0.0921857
+0.0915344
+0.0909313
+0.0903772
+0.0898732
+0.08942
+0.0890184
+0.0886612
+0.0883544
+0.0881009
+0.0879013
+0.087756
+0.0876652
+0.0876291
+0.0876478
+0.0877211
+0.0860649
+0.0843488
+0.0826528
+0.0809807
+0.0793337
+0.0777122
+0.0761182
+0.074548
+0.0730063
+0.0714729
+0.069961
+0.0684856
+0.0670403
+0.0656251
+0.0642309
+0.0628822
+0.0615814
+0.0603235
+0.0591141
+0.0579618
+0.0568706
+0.0558126
+0.05482
+0.0538652
+0.0529472
+0.0521053
+0.0513262
+0.0506276
+0.0500152
+0.0494611
+0.0489938
+0.0486176
+0.0483217
+0.0481237
+0.0480208
+0.0479704
+0.0476862
+0.046651
+0.0456836
+0.0448006
+0.0440089
+0.0433138
+0.0427197
+0.0422311
+0.0418514
+0.041579
+0.0414208
+0.0413781
+0.0414514
+0.0416304
+0.0419214
+0.0423239
+0.0428348
+0.0434503
+0.044166
+0.044977
+0.0458785
+0.0468651
+0.0479271
+0.0490591
+0.0502612
+0.0515284
+0.0528561
+0.0542398
+0.0556753
+0.0571587
+0.0586864
+0.0602551
+0.0618616
+0.0634964
+0.0651621
+0.0668581
+0.0685821
+0.0703321
+0.0717915
+0.0731982
+0.0746427
+0.0761228
+0.0776365
+0.079182
+0.0807572
+0.0951864
+0.0944133
+0.0936755
+0.092983
+0.0923374
+0.0917395
+0.0911904
+0.0906909
+0.0902417
+0.0898438
+0.0894978
+0.0891964
+0.0889453
+0.0887477
+0.0886037
+0.0885138
+0.088478
+0.0884965
+0.0885692
+0.0872644
+0.0855701
+0.0838989
+0.0822521
+0.0806291
+0.0790332
+0.0774594
+0.0758846
+0.074341
+0.0728281
+0.0713447
+0.0698671
+0.0684192
+0.0670115
+0.0656468
+0.0643278
+0.0630491
+0.0618211
+0.0606415
+0.0595135
+0.0584196
+0.0573886
+0.0563849
+0.0554221
+0.0545304
+0.0537128
+0.0529509
+0.0522573
+0.0516358
+0.0510945
+0.0506422
+0.0502728
+0.0499866
+0.0497764
+0.0496255
+0.0486746
+0.0475601
+0.0465221
+0.045552
+0.0446663
+0.0438722
+0.0431749
+0.0425789
+0.0420886
+0.0417078
+0.0414351
+0.0412764
+0.0412336
+0.0413071
+0.0414859
+0.0417779
+0.0421818
+0.0426944
+0.0433118
+0.0440297
+0.0448433
+0.0457474
+0.0467367
+0.0478016
+0.0489366
+0.0501416
+0.0514117
+0.0527423
+0.0541289
+0.0555673
+0.0570535
+0.058584
+0.0601553
+0.0617644
+0.0634083
+0.0650841
+0.0667821
+0.068508
+0.0700407
+0.0714147
+0.0728286
+0.0742803
+0.0757675
+0.0772882
+0.0788405
+0.0804224
+0.0960088
+0.0952424
+0.094511
+0.0938248
+0.093185
+0.0925926
+0.0920485
+0.0915537
+0.0911088
+0.0907147
+0.090372
+0.0900812
+0.0898352
+0.0896395
+0.089497
+0.089408
+0.0893726
+0.0893909
+0.0894628
+0.0884998
+0.0868296
+0.0851829
+0.083559
+0.0819588
+0.0803527
+0.0787748
+0.0772268
+0.0757074
+0.0741901
+0.0726963
+0.0712384
+0.0698189
+0.06844
+0.0671044
+0.0658077
+0.0645578
+0.063359
+0.062197
+0.0610726
+0.0600043
+0.0589516
+0.0579482
+0.0570113
+0.0561354
+0.0553239
+0.0545729
+0.0539002
+0.0532926
+0.0527683
+0.0523305
+0.0519676
+0.0516429
+0.0510892
+0.0498363
+0.0486498
+0.0475347
+0.0464961
+0.0455254
+0.0446393
+0.0438447
+0.0431468
+0.0425503
+0.0420593
+0.0416777
+0.0414067
+0.0412478
+0.041205
+0.0412785
+0.0414568
+0.041749
+0.0421531
+0.0426661
+0.0432839
+0.0440023
+0.0448164
+0.045721
+0.0467109
+0.0477763
+0.0489119
+0.0501175
+0.0513882
+0.0527194
+0.0541066
+0.0555456
+0.0570324
+0.0585634
+0.0601353
+0.0617449
+0.0633893
+0.0650659
+0.0667723
+0.068384
+0.0697232
+0.0711034
+0.0725234
+0.0739811
+0.0754742
+0.0770007
+0.0785586
+0.0801462
+0.0968738
+0.0961143
+0.0953896
+0.0947097
+0.0940759
+0.0934892
+0.0929504
+0.0924603
+0.0920199
+0.0916297
+0.0912904
+0.0910026
+0.0907668
+0.0905756
+0.0904346
+0.0903465
+0.0903115
+0.0903296
+0.0904007
+0.089397
+0.0877651
+0.086158
+0.0845772
+0.083024
+0.0815002
+0.0800073
+0.0785471
+0.0770474
+0.0755465
+0.0740799
+0.0726499
+0.0712585
+0.069908
+0.0685953
+0.0673259
+0.0661047
+0.0649147
+0.0637628
+0.0626563
+0.0615587
+0.0605192
+0.0595422
+0.0586217
+0.0577632
+0.0569629
+0.0562335
+0.0555766
+0.0549868
+0.0544762
+0.0540177
+0.0536231
+0.0524723
+0.0511595
+0.0499083
+0.0487236
+0.0476101
+0.0465596
+0.0455876
+0.0447019
+0.0439076
+0.04321
+0.0426137
+0.042123
+0.0417417
+0.0414717
+0.0413131
+0.0412703
+0.0413437
+0.0415263
+0.0418223
+0.0422299
+0.0427461
+0.0433663
+0.0440839
+0.0448964
+0.0457994
+0.0467877
+0.0478515
+0.0489853
+0.0501891
+0.0514581
+0.0527875
+0.054173
+0.0556102
+0.0570953
+0.0586247
+0.060195
+0.061803
+0.0634459
+0.0651211
+0.0667986
+0.0681107
+0.0694671
+0.0708545
+0.0722795
+0.073742
+0.0752398
+0.076771
+0.0783335
+0.0799255
+0.0977802
+0.0970275
+0.0963094
+0.095636
+0.0950084
+0.0944274
+0.093894
+0.0934089
+0.092973
+0.0925868
+0.092251
+0.0919662
+0.0917329
+0.0915493
+0.0914098
+0.0913226
+0.091288
+0.0913059
+0.0910935
+0.0894389
+0.0878078
+0.0862016
+0.0846215
+0.0830692
+0.0815462
+0.0800541
+0.0785948
+0.0771701
+0.075782
+0.0744309
+0.0731191
+0.07185
+0.0706261
+0.0694498
+0.0683235
+0.0672497
+0.066231
+0.0652699
+0.0642011
+0.0631295
+0.0621168
+0.0611638
+0.060262
+0.0594183
+0.0586376
+0.0579293
+0.0572857
+0.0566809
+0.056155
+0.0554128
+0.0539938
+0.0526278
+0.051319
+0.0500718
+0.048891
+0.0477692
+0.0467196
+0.045751
+0.0448685
+0.0440773
+0.0433824
+0.0427885
+0.0422998
+0.0419201
+0.0416505
+0.0414925
+0.04145
+0.0415231
+0.0417056
+0.0420003
+0.0424063
+0.0429203
+0.0435387
+0.0442569
+0.0450703
+0.0459738
+0.0469621
+0.0480265
+0.0491562
+0.050356
+0.0516209
+0.0529462
+0.0543276
+0.0557609
+0.0572421
+0.0587676
+0.0603342
+0.0619386
+0.063578
+0.0652498
+0.0665909
+0.067907
+0.0692673
+0.0706583
+0.0720871
+0.0735534
+0.0750551
+0.0765899
+0.078156
+0.079749
+0.098727
+0.0979792
+0.0972681
+0.0966014
+0.0959801
+0.095405
+0.0948771
+0.0943971
+0.0939657
+0.0935836
+0.0932514
+0.0929697
+0.0927389
+0.0925594
+0.0924218
+0.0923356
+0.0923013
+0.092319
+0.0911873
+0.0895345
+0.0879051
+0.0863007
+0.0847225
+0.083172
+0.0816509
+0.0801609
+0.0787035
+0.0772808
+0.0758947
+0.0745457
+0.0732359
+0.0719689
+0.0707471
+0.0695728
+0.0684485
+0.0673767
+0.0663599
+0.0654008
+0.0645017
+0.0636654
+0.0628944
+0.0621909
+0.0615475
+0.0609745
+0.0603454
+0.0596279
+0.0589657
+0.0583782
+0.057096
+0.0556337
+0.0542204
+0.0528603
+0.0515573
+0.0503161
+0.0491411
+0.0480251
+0.0469813
+0.0460182
+0.0451409
+0.0443546
+0.0436641
+0.043074
+0.0425887
+0.0422115
+0.0419431
+0.0417863
+0.041744
+0.0418166
+0.0419986
+0.0422912
+0.0426944
+0.043205
+0.0438194
+0.0445331
+0.0453415
+0.0462397
+0.0472225
+0.0482847
+0.0494213
+0.0506173
+0.0518758
+0.0531948
+0.0545699
+0.0559969
+0.057472
+0.0589917
+0.0605524
+0.0621512
+0.0637852
+0.0651829
+0.0664478
+0.0677531
+0.0691031
+0.0704954
+0.0719274
+0.0733969
+0.0749017
+0.0764396
+0.0780088
+0.0796048
+0.0997128
+0.0989702
+0.0982663
+0.0976064
+0.0969915
+0.0964225
+0.0959002
+0.0954253
+0.0949986
+0.0946207
+0.0942922
+0.0940135
+0.0937853
+0.0936078
+0.0934742
+0.093389
+0.0933551
+0.093006
+0.0913336
+0.0896834
+0.0880569
+0.0864552
+0.0848799
+0.0833324
+0.0818143
+0.0803272
+0.078873
+0.0774534
+0.0760704
+0.0747246
+0.0734179
+0.0721542
+0.0709355
+0.0697644
+0.0686433
+0.0675745
+0.0665608
+0.0656046
+0.0647084
+0.0638748
+0.0631063
+0.0624018
+0.061764
+0.0611931
+0.0606958
+0.0602742
+0.0599297
+0.0588941
+0.057394
+0.0559395
+0.0545342
+0.053182
+0.0518872
+0.050654
+0.0494871
+0.0483791
+0.0473431
+0.0463874
+0.0455173
+0.0447375
+0.0440531
+0.0434683
+0.0429874
+0.0426138
+0.0423472
+0.0421918
+0.0421499
+0.0422218
+0.0424029
+0.0426927
+0.0430922
+0.0435981
+0.044207
+0.0449145
+0.0457162
+0.0466072
+0.0475824
+0.0486368
+0.0497653
+0.0509631
+0.0522181
+0.0535286
+0.0548954
+0.0563141
+0.0577812
+0.0592929
+0.0608459
+0.0624372
+0.0638721
+0.0650815
+0.0663413
+0.0676486
+0.0690007
+0.070395
+0.071829
+0.0733005
+0.0748072
+0.076347
+0.0779181
+0.0795159
+0.100686
+0.0999994
+0.0993027
+0.0986498
+0.0980415
+0.0974786
+0.096962
+0.0964923
+0.0960703
+0.0956967
+0.0953718
+0.0950964
+0.0948708
+0.0946953
+0.0945656
+0.0944814
+0.0944479
+0.093201
+0.0915321
+0.0898856
+0.0882627
+0.0866649
+0.0850934
+0.0835499
+0.0820358
+0.0805528
+0.0791027
+0.0776873
+0.0763086
+0.0749671
+0.0736647
+0.0724052
+0.0711909
+0.0700241
+0.0689071
+0.0678426
+0.0668329
+0.0658806
+0.0649852
+0.0641503
+0.0633801
+0.0626771
+0.0620435
+0.0614815
+0.060993
+0.0605745
+0.0602318
+0.0592641
+0.0577736
+0.0563289
+0.0549336
+0.0535915
+0.0523068
+0.0510837
+0.0499269
+0.0488288
+0.0478025
+0.0468563
+0.045995
+0.0452235
+0.0445465
+0.0439683
+0.0434929
+0.0431237
+0.0428595
+0.0427061
+0.0426647
+0.0427357
+0.0429153
+0.0432017
+0.0435965
+0.0440966
+0.0446987
+0.0453986
+0.0461919
+0.0470738
+0.0480396
+0.0490841
+0.0502026
+0.0513902
+0.052635
+0.0539354
+0.0552921
+0.056701
+0.0581583
+0.0596604
+0.0612041
+0.0626795
+0.0638364
+0.0650466
+0.066307
+0.067615
+0.0689677
+0.0703627
+0.0717974
+0.0732695
+0.0747768
+0.0763173
+0.0778889
+0.0794873
+0.101445
+0.101066
+0.100376
+0.0997304
+0.0991288
+0.0985721
+0.0980612
+0.0975969
+0.0971797
+0.0968103
+0.0964892
+0.0962169
+0.0959939
+0.0958205
+0.0956948
+0.0956115
+0.0951326
+0.0934469
+0.0917824
+0.0901405
+0.0885223
+0.0869293
+0.0853627
+0.0838241
+0.082315
+0.0808372
+0.0793923
+0.0779822
+0.0766087
+0.0752725
+0.0739756
+0.0727215
+0.0715125
+0.070351
+0.0692394
+0.0681774
+0.067168
+0.0662158
+0.0653232
+0.0644926
+0.0637266
+0.0630274
+0.0623974
+0.0618386
+0.061353
+0.060937
+0.0605963
+0.0597122
+0.0582332
+0.0568002
+0.0554167
+0.0540866
+0.052814
+0.0516029
+0.050458
+0.0493718
+0.048357
+0.0474218
+0.046571
+0.0458092
+0.045141
+0.0445705
+0.0441016
+0.043737
+0.0434764
+0.0433251
+0.0432843
+0.0433543
+0.043532
+0.0438144
+0.0442037
+0.0446971
+0.0452912
+0.0459821
+0.0467655
+0.0476368
+0.0485913
+0.0496243
+0.0507309
+0.0519063
+0.0531391
+0.0544275
+0.0557722
+0.0571692
+0.0586149
+0.0601056
+0.0616199
+0.0627198
+0.063876
+0.0650854
+0.0663451
+0.0676523
+0.0690043
+0.0703986
+0.0718325
+0.073304
+0.0748106
+0.0763504
+0.0779213
+0.0795191
+0.102246
+0.10202
+0.101486
+0.100847
+0.100252
+0.0997017
+0.0991967
+0.0987376
+0.0983253
+0.0979602
+0.0976429
+0.0973739
+0.0971535
+0.0969822
+0.0968601
+0.0967781
+0.0954238
+0.0937433
+0.0920842
+0.0904478
+0.0888352
+0.0872479
+0.0856871
+0.0841544
+0.0826514
+0.0811797
+0.079741
+0.0783372
+0.0769701
+0.0756403
+0.0743497
+0.073102
+0.0718972
+0.0707376
+0.0696276
+0.0685696
+0.0675661
+0.0666196
+0.0657324
+0.0649071
+0.064146
+0.0634515
+0.0628257
+0.0622708
+0.0617885
+0.0613755
+0.0610372
+0.0602367
+0.0587709
+0.0573513
+0.0559815
+0.0546652
+0.0534063
+0.052209
+0.0510776
+0.0500049
+0.0490032
+0.0480806
+0.0472416
+0.0464908
+0.0458325
+0.0452708
+0.0448092
+0.0444497
+0.0441933
+0.0440445
+0.0440044
+0.0440732
+0.0442488
+0.0445266
+0.0449097
+0.0453954
+0.0459805
+0.0466612
+0.0474334
+0.0482926
+0.0492345
+0.0502542
+0.0513472
+0.0525089
+0.0537278
+0.0550024
+0.0563334
+0.0577168
+0.0591491
+0.0606267
+0.0617386
+0.0628365
+0.0639906
+0.0651979
+0.0664554
+0.0677605
+0.0691104
+0.0705025
+0.0719344
+0.0734038
+0.0749084
+0.0764462
+0.0780152
+0.0796112
+0.103088
+0.102863
+0.10263
+0.101999
+0.10141
+0.100866
+0.100367
+0.0999134
+0.099506
+0.0991452
+0.0988317
+0.098566
+0.0983483
+0.098179
+0.0980584
+0.0974592
+0.0957643
+0.0940898
+0.092437
+0.0908069
+0.0892008
+0.0876201
+0.0860661
+0.0845403
+0.0830443
+0.0815796
+0.0801481
+0.0787515
+0.0773918
+0.0760674
+0.07478
+0.0735354
+0.0723356
+0.0711831
+0.0700802
+0.0690291
+0.0680324
+0.0670925
+0.0662116
+0.0653924
+0.0646371
+0.0639478
+0.063327
+0.0627764
+0.0622981
+0.0618885
+0.061553
+0.0608356
+0.0593846
+0.0579801
+0.0566254
+0.0553244
+0.0540809
+0.0528989
+0.0517826
+0.0507247
+0.0497376
+0.0488289
+0.048003
+0.0472643
+0.0466169
+0.0460647
+0.0456112
+0.0452574
+0.0450056
+0.0448594
+0.04482
+0.0448877
+0.0450607
+0.0453336
+0.0457099
+0.0461872
+0.0467624
+0.0474318
+0.0481917
+0.0490377
+0.0499654
+0.0509706
+0.0520485
+0.0531949
+0.0543984
+0.0556577
+0.0569734
+0.0583416
+0.0597589
+0.0608994
+0.0619347
+0.0630292
+0.0641798
+0.0653835
+0.0666376
+0.0679392
+0.0692856
+0.0706743
+0.0721028
+0.0735688
+0.0750701
+0.0766047
+0.0781705
+0.0797633
+0.103969
+0.103745
+0.103568
+0.103184
+0.102602
+0.102065
+0.101571
+0.101123
+0.10072
+0.100364
+0.100054
+0.0997919
+0.0995769
+0.0994097
+0.0992906
+0.0978347
+0.0961464
+0.0944787
+0.0928328
+0.0912098
+0.0896109
+0.0880375
+0.086491
+0.0849729
+0.0834846
+0.0820278
+0.0806042
+0.0792157
+0.077864
+0.0765447
+0.0752654
+0.0740289
+0.0728373
+0.0716929
+0.0705979
+0.0695547
+0.0685656
+0.067633
+0.0667594
+0.0659469
+0.065198
+0.0645148
+0.0638994
+0.0633539
+0.0628799
+0.0624741
+0.0621419
+0.0615068
+0.060072
+0.0586839
+0.0573459
+0.0560616
+0.0548348
+0.0536694
+0.0525695
+0.0515278
+0.0505563
+0.0496626
+0.0488508
+0.0481251
+0.0474894
+0.0469475
+0.0465026
+0.046155
+0.0459081
+0.0457648
+0.0457262
+0.0457925
+0.0459628
+0.0462303
+0.0465995
+0.0470677
+0.0476323
+0.0482897
+0.0490362
+0.0498679
+0.0507805
+0.0517698
+0.0528314
+0.0539612
+0.055148
+0.0563905
+0.0576895
+0.0590412
+0.060208
+0.0611766
+0.0622073
+0.0632971
+0.0644429
+0.0656419
+0.0668911
+0.0681878
+0.0695294
+0.0709133
+0.0723371
+0.0737985
+0.0752952
+0.0768253
+0.0783867
+0.0799752
+0.104888
+0.104667
+0.104491
+0.104361
+0.103827
+0.103295
+0.102808
+0.102365
+0.101968
+0.101616
+0.10131
+0.10105
+0.100838
+0.100673
+0.0999557
+0.098255
+0.0965741
+0.0949139
+0.0932757
+0.0916605
+0.0900697
+0.0885044
+0.0869662
+0.0854565
+0.0839768
+0.0825287
+0.081114
+0.0797343
+0.0783916
+0.0770812
+0.075811
+0.0745836
+0.073401
+0.0722655
+0.0711793
+0.0701447
+0.0691641
+0.0682397
+0.0673739
+0.066569
+0.0658271
+0.0651505
+0.0645412
+0.0640011
+0.063532
+0.0631304
+0.0628016
+0.0622479
+0.0608305
+0.0594601
+0.05814
+0.0568737
+0.0556647
+0.0545171
+0.0534346
+0.0524101
+0.0514553
+0.0505775
+0.0497806
+0.0490687
+0.0484454
+0.0479143
+0.0474784
+0.0471373
+0.0468956
+0.0467554
+0.0467176
+0.0467825
+0.0469496
+0.0472118
+0.0475733
+0.0480321
+0.0485854
+0.0492301
+0.0499626
+0.0507791
+0.0516756
+0.0526481
+0.0536924
+0.0548044
+0.0559733
+0.0571979
+0.0584789
+0.0596542
+0.0605525
+0.0615156
+0.0625408
+0.0636248
+0.0647648
+0.0659579
+0.0672013
+0.0684922
+0.0698279
+0.071206
+0.0726241
+0.0740798
+0.0755709
+0.0770955
+0.0786516
+0.0802372
+0.105844
+0.105625
+0.105451
+0.105322
+0.105076
+0.104551
+0.104069
+0.103632
+0.103239
+0.102892
+0.10259
+0.102334
+0.102124
+0.101961
+0.100415
+0.0987222
+0.0970494
+0.0953975
+0.0937677
+0.0921611
+0.0905791
+0.0890228
+0.0874937
+0.0859933
+0.084523
+0.0830844
+0.0816793
+0.0803093
+0.0789764
+0.0776759
+0.0764156
+0.075198
+0.0740252
+0.0728994
+0.0718228
+0.0707977
+0.0698262
+0.0689107
+0.0680535
+0.0672566
+0.0665225
+0.065853
+0.0652503
+0.0647161
+0.0642522
+0.0638551
+0.0635301
+0.0630564
+0.0616576
+0.060306
+0.0590048
+0.0577574
+0.0565674
+0.0554384
+0.0543743
+0.0533678
+0.0524305
+0.0515692
+0.0507879
+0.0500903
+0.0494799
+0.04896
+0.0485335
+0.0481993
+0.047963
+0.0478259
+0.0477889
+0.0478523
+0.0480157
+0.0482728
+0.0486264
+0.0490753
+0.049617
+0.0502485
+0.0509663
+0.051767
+0.0526467
+0.0536016
+0.0546276
+0.055721
+0.0568711
+0.0580767
+0.059228
+0.0600682
+0.0609737
+0.0619303
+0.0629486
+0.0640258
+0.0651588
+0.0663448
+0.0675811
+0.0688648
+0.0701935
+0.0715645
+0.0729756
+0.0744244
+0.0759088
+0.0774267
+0.0789763
+0.0805556
+0.106837
+0.10662
+0.106447
+0.10632
+0.106237
+0.105837
+0.105361
+0.104929
+0.104541
+0.104198
+0.1039
+0.103647
+0.10344
+0.102623
+0.10092
+0.0992356
+0.0975716
+0.0959287
+0.094308
+0.0927109
+0.0911383
+0.0895918
+0.0880726
+0.0865822
+0.085122
+0.0836938
+0.082299
+0.0809396
+0.0796172
+0.0783273
+0.0770777
+0.0758707
+0.0747085
+0.0735932
+0.0725269
+0.0715118
+0.0705502
+0.0696442
+0.0687961
+0.068008
+0.067282
+0.0666201
+0.0660244
+0.0654966
+0.0650382
+0.064646
+0.0643249
+0.0639297
+0.0625505
+0.0612186
+0.0599373
+0.0587097
+0.0575394
+0.0564298
+0.0553848
+0.054397
+0.0534777
+0.0526336
+0.0518683
+0.0511854
+0.0505882
+0.0500799
+0.0496623
+0.0493358
+0.0491049
+0.048971
+0.0489349
+0.0489969
+0.0491564
+0.0494082
+0.0497537
+0.0501926
+0.0507223
+0.0513402
+0.052043
+0.0528273
+0.0536897
+0.0546263
+0.0556335
+0.0567074
+0.0578379
+0.0589598
+0.0597234
+0.0605567
+0.0614568
+0.0624191
+0.0634296
+0.0644987
+0.0656236
+0.0668013
+0.0680293
+0.0693047
+0.0706251
+0.071988
+0.0733909
+0.0748317
+0.0763082
+0.0778183
+0.0793602
+0.080932
+0.107865
+0.10765
+0.107479
+0.107353
+0.107271
+0.107152
+0.106683
+0.106256
+0.105873
+0.105534
+0.105239
+0.10499
+0.104786
+0.103164
+0.101469
+0.0997944
+0.0981399
+0.0965066
+0.0948959
+0.0933088
+0.0917465
+0.0902104
+0.0887018
+0.0872221
+0.0857729
+0.0843556
+0.082972
+0.0816237
+0.0803126
+0.0790341
+0.0777958
+0.0766002
+0.0754492
+0.074345
+0.0732896
+0.0722853
+0.0713341
+0.0704382
+0.0695997
+0.0688208
+0.0681035
+0.0674497
+0.0668614
+0.0663402
+0.0658878
+0.0655006
+0.0651837
+0.0648654
+0.0635065
+0.0621951
+0.0609342
+0.0597271
+0.0585771
+0.0574876
+0.0564622
+0.0554936
+0.0545927
+0.0537661
+0.0530172
+0.0523493
+0.0517656
+0.0512689
+0.0508605
+0.0505417
+0.0503163
+0.0501857
+0.0501505
+0.0502109
+0.0503666
+0.050613
+0.0509503
+0.051379
+0.0518966
+0.0525007
+0.0531881
+0.0539558
+0.0548004
+0.0557184
+0.0567061
+0.0577602
+0.0588339
+0.059538
+0.0602944
+0.0611199
+0.0620118
+0.0629674
+0.063982
+0.065042
+0.0661576
+0.0673261
+0.0685446
+0.0698107
+0.0711216
+0.0724752
+0.0738688
+0.0753005
+0.0767679
+0.0782692
+0.0798024
+0.0813656
+0.108928
+0.108715
+0.108546
+0.108421
+0.10834
+0.108303
+0.108032
+0.107611
+0.107233
+0.106898
+0.106607
+0.106361
+0.105355
+0.103748
+0.102063
+0.100398
+0.0987535
+0.0971306
+0.0955304
+0.093954
+0.0924026
+0.0908776
+0.0893803
+0.087912
+0.0864743
+0.0850688
+0.0836969
+0.0823605
+0.0810613
+0.0797948
+0.0785685
+0.0773848
+0.0762457
+0.0751532
+0.0741093
+0.0731162
+0.072176
+0.0712907
+0.0704624
+0.0696931
+0.0689849
+0.0683395
+0.0677589
+0.0672447
+0.0667984
+0.0664162
+0.0661037
+0.0658606
+0.0645227
+0.0632323
+0.0619926
+0.0608065
+0.0596773
+0.0586083
+0.0576028
+0.0566537
+0.0557716
+0.0549627
+0.0542303
+0.0535775
+0.0530073
+0.0525224
+0.0521232
+0.0518122
+0.0515924
+0.051465
+0.0514306
+0.0514896
+0.0516414
+0.0518823
+0.0522115
+0.0526299
+0.0531353
+0.0537254
+0.0543974
+0.0551483
+0.0559749
+0.0568739
+0.0578419
+0.0588592
+0.0594941
+0.0601905
+0.0609387
+0.0617557
+0.0626386
+0.0635847
+0.0645913
+0.065654
+0.0667594
+0.0679175
+0.0691256
+0.0703811
+0.0716817
+0.0730248
+0.0744082
+0.0758297
+0.0772871
+0.0787785
+0.0803019
+0.0818556
+0.110024
+0.109813
+0.109645
+0.109522
+0.109441
+0.109405
+0.109409
+0.108993
+0.108619
+0.108289
+0.108002
+0.107158
+0.105735
+0.104291
+0.1027
+0.101045
+0.0994117
+0.0977997
+0.0962106
+0.0946455
+0.0931057
+0.0915924
+0.0901069
+0.0886507
+0.0872252
+0.0858319
+0.0844725
+0.0831485
+0.0818618
+0.0806079
+0.0793942
+0.078223
+0.0770962
+0.0760159
+0.0749841
+0.0740028
+0.0730739
+0.0721996
+0.0713818
+0.0706226
+0.0699238
+0.0692872
+0.0687146
+0.0682075
+0.0677658
+0.0673884
+0.0670804
+0.0668429
+0.0655963
+0.0643275
+0.0631093
+0.0619446
+0.0608365
+0.0597882
+0.0588029
+0.0578735
+0.0570103
+0.0562192
+0.0555034
+0.0548658
+0.0543091
+0.0538359
+0.053446
+0.0531427
+0.0529284
+0.0528042
+0.0527707
+0.0528282
+0.0529762
+0.0532116
+0.0535326
+0.0539407
+0.054434
+0.0550102
+0.0556667
+0.0564007
+0.0572092
+0.0580891
+0.0590372
+0.0595997
+0.0602268
+0.0609149
+0.0616543
+0.0624618
+0.0633349
+0.0642708
+0.0652668
+0.0663203
+0.0674269
+0.0685737
+0.0697705
+0.0710147
+0.0723038
+0.0736356
+0.0750077
+0.076418
+0.0778645
+0.079345
+0.0808577
+0.082401
+0.111152
+0.110943
+0.110778
+0.110655
+0.110576
+0.11054
+0.110547
+0.110401
+0.110032
+0.109706
+0.109019
+0.107577
+0.106159
+0.104739
+0.103283
+0.101736
+0.100113
+0.0985129
+0.0969355
+0.0953823
+0.0938546
+0.0923536
+0.0908805
+0.0894369
+0.0880241
+0.0866437
+0.0852972
+0.0839863
+0.0827126
+0.0814718
+0.0802711
+0.0791129
+0.077999
+0.0769314
+0.075912
+0.0749428
+0.0740258
+0.0731628
+0.072356
+0.0716071
+0.0709179
+0.0702903
+0.069726
+0.0692263
+0.0687887
+0.0684169
+0.0681136
+0.0678797
+0.0667246
+0.0654777
+0.0642813
+0.0631382
+0.0620515
+0.061024
+0.060059
+0.0591493
+0.058305
+0.0575317
+0.0568324
+0.0562099
+0.0556667
+0.0552051
+0.0548243
+0.0545287
+0.0543199
+0.0541989
+0.0541663
+0.0542223
+0.0543665
+0.0545965
+0.0549094
+0.0553073
+0.0557886
+0.0563509
+0.0569919
+0.057709
+0.0584995
+0.0593602
+0.0598608
+0.0604059
+0.0610248
+0.0617085
+0.0624385
+0.0632361
+0.0640986
+0.0650235
+0.0660082
+0.06705
+0.0681463
+0.0692931
+0.0704776
+0.0717096
+0.0729864
+0.074306
+0.075666
+0.0770642
+0.0784987
+0.0799675
+0.0814687
+0.0830006
+0.112312
+0.112105
+0.111941
+0.11182
+0.111741
+0.111706
+0.111713
+0.111764
+0.111471
+0.110936
+0.109475
+0.108038
+0.106627
+0.10523
+0.103782
+0.102353
+0.100858
+0.0992694
+0.0977042
+0.0961635
+0.0946483
+0.0931601
+0.0917
+0.0902695
+0.0888699
+0.0875029
+0.0861698
+0.0848724
+0.0836122
+0.0823849
+0.0811977
+0.0800529
+0.0789523
+0.0778978
+0.0768912
+0.0759345
+0.0750295
+0.0741783
+0.0733826
+0.0726443
+0.0719651
+0.0713467
+0.0707907
+0.0702977
+0.0698653
+0.0694993
+0.0692007
+0.0689705
+0.0679049
+0.06668
+0.0655056
+0.0643843
+0.0633189
+0.0623124
+0.0613675
+0.0604776
+0.0596521
+0.0588965
+0.0582136
+0.057606
+0.057076
+0.0566257
+0.0562543
+0.0559662
+0.0557628
+0.0556449
+0.0556132
+0.0556677
+0.0558082
+0.0560328
+0.0563377
+0.0567256
+0.0571949
+0.0577436
+0.0583693
+0.0590697
+0.0598422
+0.0602735
+0.0607359
+0.0612732
+0.0618834
+0.0625644
+0.0632889
+0.0640759
+0.0649272
+0.0658405
+0.0668131
+0.0678426
+0.0689263
+0.0700618
+0.0712452
+0.072464
+0.0737279
+0.0750344
+0.0763814
+0.0777668
+0.0791885
+0.0806447
+0.0821336
+0.0836533
+0.113502
+0.113297
+0.113135
+0.113015
+0.112938
+0.112902
+0.11291
+0.112959
+0.112905
+0.111427
+0.109972
+0.108542
+0.107137
+0.10576
+0.104324
+0.102903
+0.10151
+0.100068
+0.0985156
+0.0969878
+0.0954857
+0.0940107
+0.0925641
+0.0911471
+0.0897612
+0.088408
+0.0870887
+0.0858052
+0.0845589
+0.0833456
+0.0821723
+0.0810413
+0.0799543
+0.0789131
+0.0779196
+0.0769757
+0.0760832
+0.0752438
+0.0744595
+0.073732
+0.0730629
+0.0724539
+0.0719065
+0.0714188
+0.0709932
+0.0706331
+0.0703393
+0.0701129
+0.0691344
+0.0679317
+0.0667793
+0.0656797
+0.0646357
+0.06365
+0.0627254
+0.0618549
+0.061048
+0.06031
+0.0596433
+0.0590504
+0.0585335
+0.0580939
+0.057732
+0.0574513
+0.0572531
+0.0571383
+0.0571074
+0.0571605
+0.0572974
+0.0575167
+0.0578138
+0.0581919
+0.0586494
+0.0591846
+0.0597952
+0.0604791
+0.0608413
+0.0612211
+0.0616764
+0.0622055
+0.0628067
+0.0634778
+0.0642028
+0.0649787
+0.0658184
+0.0667195
+0.0676795
+0.068696
+0.0697664
+0.0708885
+0.0720596
+0.0732758
+0.0745263
+0.0758191
+0.0771523
+0.0785241
+0.0799324
+0.0813753
+0.0828511
+0.0843578
+0.114721
+0.114519
+0.114359
+0.11424
+0.114163
+0.114128
+0.114136
+0.114179
+0.11343
+0.111958
+0.11051
+0.109087
+0.10769
+0.106319
+0.104909
+0.103496
+0.102111
+0.100754
+0.0993687
+0.0978542
+0.0963656
+0.0949043
+0.0934715
+0.0920685
+0.0906967
+0.0893576
+0.0880526
+0.0867833
+0.0855513
+0.0843523
+0.0831932
+0.0820762
+0.0810031
+0.0799756
+0.0789955
+0.0780645
+0.0771846
+0.0763574
+0.0755846
+0.074868
+0.0742092
+0.0736096
+0.0730707
+0.0725887
+0.07217
+0.0718158
+0.0715269
+0.0713042
+0.0704107
+0.0692302
+0.0680997
+0.0670218
+0.065999
+0.065034
+0.0641293
+0.0632782
+0.0624897
+0.0617688
+0.061118
+0.0605396
+0.0600355
+0.0596065
+0.0592538
+0.0589804
+0.0587874
+0.0586756
+0.0586455
+0.0586971
+0.0588304
+0.0590446
+0.059334
+0.0597025
+0.0601486
+0.0606705
+0.0612663
+0.06156
+0.0618578
+0.0622314
+0.0626793
+0.0632001
+0.0637918
+0.0644527
+0.0651776
+0.065942
+0.0667695
+0.067658
+0.0686048
+0.0696078
+0.0706645
+0.0717725
+0.0729295
+0.0741313
+0.0753699
+0.0766511
+0.0779727
+0.0793311
+0.0807253
+0.0821543
+0.0836162
+0.0851095
+0.11597
+0.11577
+0.115611
+0.115493
+0.115417
+0.115379
+0.115378
+0.115419
+0.113994
+0.11253
+0.111089
+0.109674
+0.108284
+0.106921
+0.105533
+0.104132
+0.102755
+0.101407
+0.100089
+0.0987616
+0.0972869
+0.0958396
+0.094421
+0.0930324
+0.091675
+0.0903504
+0.08906
+0.0878052
+0.0865877
+0.0854033
+0.0842586
+0.083156
+0.0820969
+0.0810833
+0.0801168
+0.079199
+0.0783318
+0.0775168
+0.0767558
+0.0760502
+0.0754017
+0.0748117
+0.0742792
+0.0738051
+0.0733934
+0.0730451
+0.0727611
+0.0725421
+0.0717311
+0.0705727
+0.0694641
+0.0684077
+0.067406
+0.0664613
+0.0655763
+0.0647443
+0.0639738
+0.0632699
+0.0626347
+0.0620704
+0.0615789
+0.0611602
+0.0608165
+0.0605501
+0.0603621
+0.0602532
+0.0602239
+0.0602743
+0.0604041
+0.0606128
+0.0608951
+0.0612542
+0.0616891
+0.0621981
+0.0624243
+0.0626414
+0.0629342
+0.0633014
+0.0637418
+0.064254
+0.0648361
+0.0654864
+0.0662005
+0.0669631
+0.0677782
+0.0686536
+0.0695869
+0.0705759
+0.0716183
+0.0727118
+0.073854
+0.0750411
+0.0762649
+0.0775313
+0.0788382
+0.0801837
+0.0815656
+0.0829801
+0.0844278
+0.0859069
+0.117245
+0.117048
+0.116891
+0.116772
+0.116689
+0.116647
+0.116646
+0.116077
+0.114597
+0.113141
+0.111708
+0.1103
+0.108919
+0.107564
+0.106193
+0.10481
+0.103442
+0.102103
+0.100794
+0.0995159
+0.0982484
+0.0968155
+0.0954114
+0.0940374
+0.0926948
+0.0913849
+0.0901093
+0.0888694
+0.0876667
+0.086497
+0.085367
+0.0842788
+0.0832341
+0.0822345
+0.0812816
+0.0803772
+0.0795229
+0.0787202
+0.0779709
+0.0772764
+0.0766383
+0.0760579
+0.0755319
+0.0750658
+0.074661
+0.0743186
+0.0740395
+0.0738244
+0.0730934
+0.0719569
+0.07087
+0.0698348
+0.0688539
+0.0679294
+0.0670638
+0.0662504
+0.0654976
+0.0648103
+0.0641903
+0.0636398
+0.0631605
+0.0627519
+0.0624169
+0.0621574
+0.0619743
+0.0618683
+0.0618397
+0.0618887
+0.0620152
+0.0622185
+0.0624941
+0.062844
+0.0632679
+0.0634283
+0.0635666
+0.0637799
+0.0640674
+0.0644282
+0.0648609
+0.0653643
+0.0659367
+0.0665762
+0.0672753
+0.0680298
+0.0688418
+0.0697038
+0.0706233
+0.071598
+0.0726257
+0.0737042
+0.0748313
+0.0760031
+0.0772117
+0.0784628
+0.0797544
+0.0810847
+0.0824518
+0.0838538
+0.0852878
+0.0867523
+0.118548
+0.118351
+0.118188
+0.118065
+0.117983
+0.117942
+0.117941
+0.11671
+0.115239
+0.113791
+0.112366
+0.110967
+0.109594
+0.108247
+0.106894
+0.105526
+0.10417
+0.102841
+0.101541
+0.100273
+0.0990364
+0.0978308
+0.0964414
+0.0950823
+0.0937546
+0.0924598
+0.0911992
+0.0899743
+0.0887866
+0.0876318
+0.0865167
+0.0854432
+0.0844128
+0.0834273
+0.0824883
+0.0815972
+0.0807558
+0.0799655
+0.0792279
+0.0785446
+0.0779168
+0.0773443
+0.0768267
+0.0763684
+0.0759706
+0.0756342
+0.0753599
+0.0751486
+0.0744935
+0.0733787
+0.0723132
+0.071299
+0.0703384
+0.0694337
+0.0685871
+0.0677938
+0.0670579
+0.0663849
+0.0657772
+0.0652374
+0.0647672
+0.0643682
+0.0640417
+0.0637889
+0.0636104
+0.0635071
+0.0634793
+0.0635271
+0.0636503
+0.0638484
+0.0641208
+0.0644665
+0.0645571
+0.0646272
+0.0647629
+0.0649722
+0.0652545
+0.0656087
+0.0660338
+0.0665283
+0.0670907
+0.0677194
+0.0684033
+0.0691455
+0.0699485
+0.0708063
+0.0717116
+0.0726717
+0.0736844
+0.0747477
+0.0758593
+0.0770154
+0.0782084
+0.0794438
+0.0807197
+0.0820344
+0.0833859
+0.0847724
+0.0861923
+0.087644
+0.119869
+0.119668
+0.119506
+0.119385
+0.119304
+0.119263
+0.118852
+0.117381
+0.115918
+0.114479
+0.113063
+0.111673
+0.110308
+0.108965
+0.107635
+0.106276
+0.104939
+0.10362
+0.10233
+0.101071
+0.0998449
+0.0986519
+0.0974935
+0.0961657
+0.0948532
+0.0935736
+0.0923282
+0.0911185
+0.0899459
+0.0888062
+0.087706
+0.0866472
+0.0856314
+0.0846601
+0.0837348
+0.0828572
+0.0820287
+0.0812508
+0.080525
+0.0798527
+0.0792353
+0.0786703
+0.0781615
+0.0777111
+0.0773201
+0.0769896
+0.0767202
+0.0765126
+0.0759273
+0.0748339
+0.0737893
+0.0727957
+0.0718552
+0.0709698
+0.0701417
+0.0693623
+0.0686412
+0.067983
+0.0673897
+0.0668629
+0.0664043
+0.0660152
+0.0656969
+0.0654504
+0.0652765
+0.0651759
+0.0651488
+0.0651953
+0.0653153
+0.0655084
+0.0657739
+0.0658058
+0.0658075
+0.0658771
+0.0660102
+0.0662156
+0.0664926
+0.0668403
+0.0672575
+0.0677431
+0.0682955
+0.0689132
+0.0695821
+0.0703119
+0.0711016
+0.0719495
+0.0728496
+0.0737949
+0.0747924
+0.0758401
+0.076936
+0.0780761
+0.0792531
+0.0804725
+0.0817324
+0.083031
+0.0843665
+0.0857372
+0.0871414
+0.0885775
+0.121208
+0.121009
+0.12085
+0.12073
+0.120649
+0.120609
+0.119539
+0.118078
+0.116635
+0.115204
+0.113798
+0.112416
+0.111061
+0.109719
+0.108401
+0.107066
+0.105745
+0.104439
+0.103159
+0.101911
+0.100695
+0.0995117
+0.0983635
+0.097251
+0.0959893
+0.094725
+0.093495
+0.0923005
+0.0911431
+0.0900186
+0.0889334
+0.0878894
+0.0868881
+0.085931
+0.0850196
+0.0841553
+0.0833397
+0.0825742
+0.0818601
+0.0811989
+0.0805908
+0.0800343
+0.0795342
+0.0790916
+0.0787075
+0.0783828
+0.0781182
+0.0779143
+0.0773966
+0.0763242
+0.0753003
+0.0743269
+0.073406
+0.0725395
+0.0717257
+0.070961
+0.0702563
+0.0696134
+0.0690341
+0.06852
+0.0680725
+0.067693
+0.0673826
+0.0671423
+0.0669728
+0.0668747
+0.0668483
+0.0668936
+0.0670106
+0.0671988
+0.0671743
+0.0671044
+0.0671061
+0.0671752
+0.0673058
+0.0675072
+0.0677789
+0.06812
+0.0685295
+0.0690061
+0.0695485
+0.0701529
+0.070809
+0.0715263
+0.0723028
+0.0731367
+0.0740261
+0.074965
+0.0759471
+0.0769791
+0.078059
+0.0791833
+0.080344
+0.0815471
+0.0827906
+0.0840729
+0.0853921
+0.0867466
+0.0881347
+0.0895549
+0.122573
+0.122376
+0.122218
+0.122099
+0.12202
+0.121735
+0.120261
+0.118809
+0.11738
+0.115967
+0.11457
+0.113198
+0.111846
+0.11051
+0.109203
+0.107894
+0.106584
+0.105295
+0.104026
+0.102788
+0.101583
+0.10041
+0.0992725
+0.0981704
+0.0971051
+0.0959126
+0.094698
+0.093519
+0.0923768
+0.0912675
+0.0901973
+0.0891681
+0.0881813
+0.0872384
+0.0863408
+0.0854899
+0.0846871
+0.0839339
+0.0832315
+0.0825813
+0.0819814
+0.0814343
+0.0809429
+0.080508
+0.0801307
+0.0798118
+0.079552
+0.0793518
+0.0788993
+0.0778476
+0.076844
+0.0758904
+0.0749887
+0.0741408
+0.0733383
+0.0725905
+0.0719018
+0.0712738
+0.0707081
+0.0702062
+0.0697696
+0.0693993
+0.0690966
+0.0688623
+0.0686971
+0.0686014
+0.0685757
+0.0686199
+0.0687339
+0.0686554
+0.068517
+0.0684486
+0.0684501
+0.0685168
+0.0686449
+0.0688424
+0.0691089
+0.0694434
+0.0698451
+0.0703129
+0.0708452
+0.0714372
+0.0720817
+0.0727864
+0.0735496
+0.0743695
+0.0752443
+0.0761711
+0.0771379
+0.0781542
+0.079218
+0.0803275
+0.0814792
+0.0826658
+0.0838927
+0.0851584
+0.0864611
+0.0877991
+0.0891708
+0.0905748
+0.12396
+0.123766
+0.12361
+0.123492
+0.123414
+0.122483
+0.121018
+0.119576
+0.118156
+0.116761
+0.115378
+0.114012
+0.112665
+0.11134
+0.110042
+0.108761
+0.107461
+0.106188
+0.10493
+0.103703
+0.102508
+0.101346
+0.100219
+0.0991271
+0.0980723
+0.0970554
+0.095936
+0.0947723
+0.0936455
+0.0925514
+0.0914962
+0.0904818
+0.0895095
+0.0885807
+0.0876968
+0.0868592
+0.0860692
+0.0853282
+0.0846374
+0.0839977
+0.0834063
+0.0828687
+0.0823857
+0.0819586
+0.081588
+0.0812748
+0.0810197
+0.0808231
+0.0804336
+0.0794023
+0.0784186
+0.0774843
+0.0766014
+0.0757677
+0.0749802
+0.074249
+0.0735758
+0.0729622
+0.0724097
+0.0719197
+0.0714935
+0.0711323
+0.0708369
+0.0706084
+0.0704473
+0.070354
+0.0703289
+0.070372
+0.0702324
+0.0700383
+0.0699027
+0.0698355
+0.0698371
+0.0698999
+0.0700255
+0.0702191
+0.0704804
+0.0708085
+0.0712025
+0.0716613
+0.0721838
+0.0727649
+0.0733977
+0.0740898
+0.0748398
+0.0756457
+0.0765059
+0.0774186
+0.0783716
+0.0793721
+0.0804198
+0.0815129
+0.0826497
+0.0838268
+0.085037
+0.0862859
+0.0875718
+0.0888931
+0.0902482
+0.0916356
+0.125371
+0.125179
+0.125024
+0.124908
+0.124743
+0.123266
+0.121811
+0.120378
+0.118968
+0.117582
+0.116217
+0.114857
+0.113521
+0.112206
+0.110918
+0.109659
+0.108375
+0.107115
+0.105871
+0.104655
+0.103471
+0.10232
+0.101204
+0.100123
+0.0990784
+0.098072
+0.0970805
+0.0960593
+0.0949477
+0.0938688
+0.0928286
+0.0918289
+0.090871
+0.0899563
+0.0890861
+0.0882617
+0.0874843
+0.0867554
+0.086076
+0.0854451
+0.0848639
+0.0843355
+0.083861
+0.0834414
+0.0830775
+0.0827699
+0.0825194
+0.0823264
+0.0819977
+0.0809863
+0.0800221
+0.0791068
+0.0782422
+0.0774201
+0.0766496
+0.0759345
+0.0752763
+0.0746767
+0.074137
+0.0736585
+0.0732424
+0.0728898
+0.0726016
+0.0723787
+0.0722215
+0.0721305
+0.072106
+0.0719065
+0.0716536
+0.0714616
+0.0713287
+0.0712629
+0.0712644
+0.0713235
+0.0714465
+0.0716364
+0.0718925
+0.0722141
+0.0726005
+0.0730506
+0.0735632
+0.0741335
+0.0747547
+0.0754344
+0.0761711
+0.0769631
+0.0778088
+0.0787063
+0.0796464
+0.0806311
+0.0816626
+0.0827394
+0.0838595
+0.0850214
+0.0862217
+0.0874537
+0.0887227
+0.0900271
+0.0913654
+0.0927361
+0.100144
+0.0984151
+0.0967045
+0.0950136
+0.0933434
+0.0916949
+0.0900677
+0.0884648
+0.0868876
+0.0853374
+0.0838159
+0.0823245
+0.080865
+0.0794391
+0.0780486
+0.0766955
+0.0753818
+0.0741096
+0.0728715
+0.0716784
+0.0705331
+0.0694381
+0.0683958
+0.0674086
+0.0664789
+0.0656092
+0.064802
+0.0640595
+0.0633841
+0.0627779
+0.0622429
+0.061781
+0.0613939
+0.0610829
+0.0608493
+0.0606938
+0.0606172
+0.0606197
+0.0607014
+0.0608618
+0.0611004
+0.0614163
+0.0617947
+0.0622465
+0.0627715
+0.0633679
+0.0640338
+0.0647669
+0.0655651
+0.066426
+0.0673471
+0.0683261
+0.0693605
+0.0704479
+0.0715857
+0.0727718
+0.0740037
+0.0752792
+0.0765885
+0.0779353
+0.0793189
+0.0807383
+0.0821916
+0.083677
+0.0851928
+0.0867375
+0.0883095
+0.0899074
+0.0915299
+0.0931756
+0.0948433
+0.096532
+0.0982395
+0.0999656
+0.10171
+0.103471
+0.105248
+0.10704
+0.108313
+0.109562
+0.110839
+0.112144
+0.113477
+0.114836
+0.11622
+0.117627
+0.119024
+0.120446
+0.12189
+0.123356
+0.124844
+0.126352
+0.127879
+0.129426
+0.130765
+0.131431
+0.132129
+0.132861
+0.133624
+0.134384
+0.0993032
+0.097559
+0.095833
+0.0941265
+0.0924403
+0.0907754
+0.0891314
+0.0875113
+0.0859166
+0.0843486
+0.0828089
+0.0812991
+0.0798208
+0.0783759
+0.0769662
+0.0755937
+0.0742605
+0.0729688
+0.0717206
+0.0705095
+0.069345
+0.0682309
+0.0671698
+0.0661643
+0.0652169
+0.0643302
+0.0635067
+0.0627489
+0.0620592
+0.0614399
+0.0608932
+0.060421
+0.0600251
+0.059707
+0.0594679
+0.0593089
+0.0592305
+0.0592331
+0.0593166
+0.0594808
+0.0597249
+0.060048
+0.0604372
+0.060899
+0.0614356
+0.0620448
+0.0627248
+0.063473
+0.0642873
+0.065165
+0.0661037
+0.0671009
+0.0681539
+0.0692602
+0.0704172
+0.0716226
+0.072874
+0.0741689
+0.0754974
+0.0768647
+0.0782693
+0.0797095
+0.0811832
+0.0826887
+0.0842243
+0.0857865
+0.0873756
+0.0889903
+0.0906292
+0.0922909
+0.0939744
+0.095678
+0.0974002
+0.099141
+0.100899
+0.102674
+0.104185
+0.105398
+0.106635
+0.107902
+0.109199
+0.110524
+0.111875
+0.113254
+0.114657
+0.11605
+0.117467
+0.118907
+0.12037
+0.121854
+0.12336
+0.124886
+0.126431
+0.127995
+0.129567
+0.130239
+0.130944
+0.131682
+0.132433
+0.133123
+0.0985035
+0.0967448
+0.0950041
+0.0932823
+0.0915806
+0.0898998
+0.0882395
+0.0866028
+0.084991
+0.0834056
+0.0818482
+0.0803203
+0.0788236
+0.0773601
+0.0759316
+0.0745401
+0.0731877
+0.0718766
+0.0706092
+0.0693878
+0.0682065
+0.0670735
+0.0659938
+0.0649701
+0.064005
+0.0631013
+0.0622615
+0.0614884
+0.0607844
+0.060152
+0.0595934
+0.0591109
+0.0587061
+0.0583808
+0.0581363
+0.0579736
+0.0578934
+0.0578961
+0.0579815
+0.0581494
+0.0583991
+0.0587295
+0.0591297
+0.0596017
+0.0601498
+0.0607719
+0.0614659
+0.0622293
+0.0630597
+0.0639542
+0.0649105
+0.0659257
+0.0669971
+0.0681222
+0.0692983
+0.0705228
+0.0717933
+0.0731074
+0.0744549
+0.0758409
+0.0772642
+0.0787227
+0.0802146
+0.0817379
+0.083291
+0.0848723
+0.0864801
+0.088113
+0.0897698
+0.0914489
+0.0931471
+0.0948647
+0.0966015
+0.0983564
+0.100119
+0.101286
+0.102487
+0.103718
+0.104975
+0.106262
+0.107578
+0.108923
+0.110294
+0.111691
+0.113083
+0.114495
+0.11593
+0.117389
+0.11887
+0.120373
+0.121897
+0.123441
+0.125004
+0.126586
+0.128186
+0.129071
+0.129782
+0.130526
+0.131189
+0.131886
+0.0977463
+0.0959738
+0.0942188
+0.0924825
+0.0907657
+0.0890696
+0.0873935
+0.0857406
+0.0841123
+0.08251
+0.0809353
+0.0793899
+0.0778754
+0.0763937
+0.0749467
+0.0735366
+0.0721654
+0.0708354
+0.069549
+0.0683087
+0.0671169
+0.0659686
+0.0648705
+0.0638288
+0.0628462
+0.0619255
+0.0610696
+0.0602812
+0.0595629
+0.0589174
+0.058347
+0.0578541
+0.0574405
+0.057108
+0.056858
+0.0566916
+0.0566096
+0.0566123
+0.0566997
+0.0568714
+0.0571267
+0.0574644
+0.0578756
+0.0583577
+0.0589174
+0.0595524
+0.0602605
+0.061039
+0.0618852
+0.0627966
+0.0637702
+0.0648032
+0.0658929
+0.0670365
+0.0682313
+0.0694747
+0.070764
+0.0720968
+0.0734628
+0.0748673
+0.0763087
+0.0777852
+0.0792947
+0.0808353
+0.0824055
+0.0840034
+0.0856275
+0.0872764
+0.0889487
+0.0906431
+0.0923584
+0.0940934
+0.0958462
+0.0972463
+0.0983989
+0.0995862
+0.100807
+0.102058
+0.103335
+0.104642
+0.105978
+0.107343
+0.108731
+0.110123
+0.111529
+0.11296
+0.114415
+0.115893
+0.117393
+0.118915
+0.120457
+0.122019
+0.1236
+0.1252
+0.126817
+0.127929
+0.128647
+0.129296
+0.129966
+0.130669
+0.0970327
+0.0952469
+0.0934783
+0.0917279
+0.0899968
+0.0882858
+0.0865946
+0.0849262
+0.0832819
+0.0816634
+0.0800721
+0.0785096
+0.0769778
+0.0754785
+0.0740136
+0.0725854
+0.0711958
+0.0698474
+0.0685425
+0.0672836
+0.0660734
+0.0649145
+0.0638027
+0.0627432
+0.0617433
+0.060806
+0.059934
+0.0591305
+0.0583981
+0.0577395
+0.0571574
+0.0566541
+0.0562317
+0.055892
+0.0556365
+0.0554665
+0.0553827
+0.0553854
+0.0554748
+0.0556503
+0.0559111
+0.0562561
+0.0566785
+0.0571707
+0.0577419
+0.0583897
+0.0591117
+0.0599051
+0.0607672
+0.061695
+0.0626857
+0.0637363
+0.064844
+0.0660058
+0.0672189
+0.0684806
+0.0697883
+0.0711394
+0.0725235
+0.0739457
+0.0754048
+0.0768986
+0.0784252
+0.0799826
+0.0815691
+0.0831831
+0.084823
+0.0864872
+0.0881745
+0.0898835
+0.0916129
+0.0932878
+0.094387
+0.0955237
+0.0966968
+0.0979048
+0.0991465
+0.100418
+0.101715
+0.103043
+0.1044
+0.105779
+0.107171
+0.108571
+0.109997
+0.111447
+0.112921
+0.114419
+0.115938
+0.117478
+0.119039
+0.12062
+0.122219
+0.123837
+0.125471
+0.126815
+0.127451
+0.128093
+0.128769
+0.129478
+0.0963636
+0.0945652
+0.0927836
+0.0910199
+0.089275
+0.0875499
+0.0858442
+0.0841609
+0.0825014
+0.0808672
+0.0792599
+0.0776811
+0.0761327
+0.0746164
+0.0731343
+0.0716885
+0.0702812
+0.0689149
+0.067592
+0.066315
+0.0650868
+0.0639101
+0.0627877
+0.0617163
+0.0606995
+0.0597458
+0.0588582
+0.0580397
+0.0572933
+0.056622
+0.0560283
+0.0555147
+0.0550835
+0.0547367
+0.0544759
+0.0543022
+0.0542166
+0.0542194
+0.0543106
+0.0544899
+0.0547562
+0.0551085
+0.055542
+0.0560442
+0.0566267
+0.0572872
+0.0580228
+0.0588309
+0.0597085
+0.0606526
+0.06166
+0.0627278
+0.063853
+0.0650325
+0.0662634
+0.067543
+0.0688685
+0.0702373
+0.0716388
+0.0730782
+0.0745543
+0.0760648
+0.0776078
+0.0791813
+0.0807836
+0.0824129
+0.0840678
+0.0857467
+0.0874483
+0.0891712
+0.0904624
+0.0915431
+0.092663
+0.0938206
+0.0950147
+0.0962439
+0.0975067
+0.0987988
+0.100117
+0.101466
+0.102836
+0.104226
+0.105621
+0.107041
+0.108487
+0.109957
+0.111451
+0.112968
+0.114506
+0.116066
+0.117646
+0.119245
+0.120862
+0.122497
+0.12415
+0.125654
+0.126268
+0.126916
+0.127598
+0.128314
+0.09574
+0.0939296
+0.0921357
+0.0903594
+0.0886015
+0.0868631
+0.0851436
+0.0834461
+0.0817722
+0.0801231
+0.0785006
+0.0769062
+0.0753418
+0.0738092
+0.0723106
+0.070848
+0.0694237
+0.0680402
+0.0666999
+0.0654055
+0.0641599
+0.0629659
+0.0618264
+0.0607446
+0.0597179
+0.0587482
+0.0578453
+0.0570123
+0.0562523
+0.0555683
+0.0549632
+0.0544396
+0.0539999
+0.0536461
+0.0533799
+0.0532026
+0.0531152
+0.0531181
+0.0532112
+0.0533942
+0.053666
+0.0540253
+0.0544699
+0.0549819
+0.0555756
+0.0562483
+0.0569974
+0.0578199
+0.0587126
+0.0596724
+0.0606961
+0.0617806
+0.0629227
+0.0641193
+0.0653674
+0.0666642
+0.0680068
+0.0693926
+0.0708108
+0.0722668
+0.0737591
+0.0752856
+0.0768442
+0.078433
+0.0800503
+0.0816942
+0.0833634
+0.0850562
+0.0866199
+0.0876491
+0.0887163
+0.089818
+0.0909591
+0.0921382
+0.0933537
+0.0946045
+0.0958889
+0.0972023
+0.0985422
+0.0999022
+0.101285
+0.102679
+0.104093
+0.105534
+0.107
+0.108491
+0.110005
+0.111541
+0.113099
+0.114678
+0.116276
+0.117894
+0.11953
+0.121183
+0.122853
+0.124493
+0.125112
+0.125766
+0.126454
+0.127177
+0.0951628
+0.0933412
+0.0915358
+0.0897475
+0.0879774
+0.0862264
+0.0844939
+0.0827832
+0.0810955
+0.0794324
+0.0777955
+0.0761864
+0.0746069
+0.0730589
+0.0715445
+0.070066
+0.0686255
+0.0672255
+0.0658686
+0.0645576
+0.0632953
+0.0620846
+0.0609287
+0.0598306
+0.0587937
+0.0578095
+0.0568917
+0.0560445
+0.0552712
+0.0545749
+0.0539587
+0.0534253
+0.0529771
+0.0526164
+0.052345
+0.0521642
+0.0520751
+0.052078
+0.052173
+0.0523595
+0.0526367
+0.053003
+0.053456
+0.0539782
+0.0545827
+0.0552676
+0.0560298
+0.0568663
+0.0577737
+0.0587488
+0.0597884
+0.060889
+0.0620475
+0.0632607
+0.0645254
+0.0658388
+0.0671979
+0.0686001
+0.0700415
+0.0715133
+0.073021
+0.0745625
+0.076136
+0.0777393
+0.0793707
+0.0810284
+0.082711
+0.0838429
+0.0848491
+0.0858993
+0.0869902
+0.0881135
+0.0892764
+0.0904774
+0.091715
+0.0929878
+0.0942943
+0.0956295
+0.0969785
+0.0983527
+0.0997474
+0.101155
+0.10259
+0.104052
+0.105538
+0.107049
+0.108583
+0.11014
+0.111717
+0.113315
+0.114932
+0.116569
+0.118223
+0.119894
+0.121582
+0.123286
+0.123984
+0.124643
+0.125338
+0.126067
+0.0946327
+0.0928007
+0.0909846
+0.0891853
+0.0874038
+0.0856411
+0.0838965
+0.0821733
+0.0804729
+0.0787966
+0.0771462
+0.0755232
+0.0739296
+0.0723671
+0.070838
+0.0693443
+0.0678885
+0.066473
+0.0651005
+0.0637737
+0.0624955
+0.0612691
+0.0600974
+0.0589839
+0.0579319
+0.0569327
+0.0560005
+0.0551397
+0.0543535
+0.0536453
+0.0530183
+0.0524753
+0.0520189
+0.0516516
+0.051375
+0.0511908
+0.0511
+0.051103
+0.0511998
+0.0513899
+0.0516722
+0.0520454
+0.0525073
+0.053045
+0.0536601
+0.0543566
+0.0551314
+0.0559813
+0.0569028
+0.0578927
+0.0589473
+0.0600634
+0.0612375
+0.0624664
+0.0637469
+0.065076
+0.0664507
+0.0678683
+0.0693262
+0.0708195
+0.0723417
+0.0738974
+0.0754847
+0.0771016
+0.0787462
+0.0801468
+0.0810805
+0.082062
+0.0830898
+0.084162
+0.0852771
+0.086431
+0.0876162
+0.0888397
+0.0900998
+0.091395
+0.092724
+0.0940651
+0.0954278
+0.0968207
+0.0982265
+0.0996556
+0.101112
+0.102595
+0.104102
+0.105633
+0.107188
+0.108764
+0.110361
+0.111978
+0.113615
+0.11527
+0.116942
+0.118632
+0.120336
+0.122038
+0.122884
+0.12355
+0.124251
+0.124986
+0.0941507
+0.0923091
+0.0904831
+0.0886736
+0.0868817
+0.0851081
+0.0833524
+0.0816177
+0.0799054
+0.078217
+0.0765541
+0.0749183
+0.0733115
+0.0717356
+0.0701927
+0.068685
+0.0672149
+0.0657849
+0.0643978
+0.0630562
+0.0617632
+0.0605218
+0.0593355
+0.0582074
+0.057141
+0.0561278
+0.055182
+0.0543082
+0.0535098
+0.0527903
+0.052153
+0.0516009
+0.0511367
+0.050763
+0.0504816
+0.0502941
+0.0502016
+0.0502047
+0.0503032
+0.0504967
+0.050784
+0.0511636
+0.0516334
+0.0521872
+0.0528123
+0.0535199
+0.0543066
+0.0551692
+0.0561041
+0.0571077
+0.0581766
+0.0593072
+0.060496
+0.0617396
+0.0630349
+0.0643787
+0.065768
+0.0672
+0.0686721
+0.0701816
+0.0717229
+0.0732918
+0.0748919
+0.0765213
+0.0774384
+0.0783432
+0.0792981
+0.0803015
+0.0813515
+0.0824463
+0.0835842
+0.0847635
+0.0859798
+0.0872262
+0.0885093
+0.0898275
+0.0911606
+0.092514
+0.093899
+0.0953077
+0.0967313
+0.0981822
+0.0996601
+0.101164
+0.102692
+0.104245
+0.105819
+0.107416
+0.109033
+0.110669
+0.112325
+0.113994
+0.115679
+0.117367
+0.119072
+0.120792
+0.121814
+0.122486
+0.123193
+0.123934
+0.0937174
+0.0918671
+0.0900321
+0.0882134
+0.0864119
+0.0846285
+0.0828626
+0.0811175
+0.0793944
+0.0776949
+0.0760206
+0.074373
+0.0727542
+0.0711659
+0.0696104
+0.0680898
+0.0666066
+0.0651633
+0.0637626
+0.0624073
+0.0611006
+0.0598455
+0.0586455
+0.0575039
+0.0564242
+0.0553979
+0.0544394
+0.0535535
+0.0527437
+0.0520136
+0.0513666
+0.050806
+0.0503345
+0.0499547
+0.0496687
+0.0494782
+0.0493842
+0.0493873
+0.0494875
+0.0496841
+0.0499761
+0.0503618
+0.050839
+0.0514053
+0.052043
+0.0527608
+0.0535587
+0.0544332
+0.0553805
+0.056397
+0.0574791
+0.0586231
+0.0598255
+0.0610828
+0.0623917
+0.0637491
+0.0651518
+0.0665971
+0.0680822
+0.0696045
+0.0711618
+0.0727471
+0.0739343
+0.0747604
+0.0756337
+0.0765598
+0.0775367
+0.0785625
+0.0796355
+0.0807536
+0.081915
+0.083118
+0.0843527
+0.0856254
+0.0869347
+0.0882691
+0.0896112
+0.0909781
+0.0923767
+0.0938057
+0.095263
+0.0967359
+0.0982356
+0.0997608
+0.101311
+0.102884
+0.104475
+0.106085
+0.107716
+0.109367
+0.111036
+0.112715
+0.114405
+0.116112
+0.117835
+0.119573
+0.120775
+0.121452
+0.122165
+0.122913
+0.0933312
+0.0914754
+0.0896324
+0.0878054
+0.0859954
+0.0842032
+0.0824282
+0.0806737
+0.0789409
+0.0772314
+0.0755468
+0.0738887
+0.072259
+0.0706596
+0.0690927
+0.0675605
+0.0660654
+0.06461
+0.063197
+0.0618293
+0.0605101
+0.0592426
+0.05803
+0.0568761
+0.0557843
+0.0547459
+0.0537758
+0.0528788
+0.0520585
+0.0513187
+0.0506628
+0.0500943
+0.0496161
+0.0492307
+0.0489405
+0.0487472
+0.0486517
+0.0486549
+0.0487566
+0.0489561
+0.0492524
+0.0496438
+0.0501278
+0.050702
+0.0513556
+0.052083
+0.0528911
+0.0537764
+0.0547351
+0.0557634
+0.0568575
+0.0580138
+0.0592286
+0.0604983
+0.0618196
+0.0631892
+0.0646041
+0.0660613
+0.067558
+0.0690902
+0.0705695
+0.0713194
+0.0721143
+0.0729552
+0.0738499
+0.074798
+0.0757976
+0.0768467
+0.0779433
+0.0790853
+0.0802677
+0.0814864
+0.0827453
+0.0840424
+0.0853759
+0.0867091
+0.0880666
+0.0894571
+0.0908792
+0.0923313
+0.0938122
+0.0953153
+0.0968305
+0.0983711
+0.099936
+0.101524
+0.103134
+0.104765
+0.106417
+0.108084
+0.109758
+0.11145
+0.113159
+0.114885
+0.116626
+0.118382
+0.119766
+0.120449
+0.121168
+0.121917
+0.0929873
+0.0911285
+0.0892847
+0.0874505
+0.085633
+0.083833
+0.08205
+0.0802872
+0.0785459
+0.0768276
+0.0751339
+0.0734665
+0.0718273
+0.070218
+0.0686411
+0.0670985
+0.0655929
+0.0641267
+0.0627029
+0.0613242
+0.0599939
+0.0587152
+0.0574915
+0.0563265
+0.0552239
+0.0541748
+0.0531943
+0.0522872
+0.0514575
+0.0507089
+0.0500451
+0.0494695
+0.0489851
+0.0485948
+0.0483008
+0.0481048
+0.0480082
+0.0480113
+0.0481144
+0.0483166
+0.0486168
+0.0490132
+0.0495034
+0.0500848
+0.0507536
+0.0514894
+0.0523067
+0.0532017
+0.0541706
+0.0552094
+0.0563143
+0.0574815
+0.0587073
+0.0599881
+0.0613203
+0.0627006
+0.0641244
+0.0655904
+0.067096
+0.0680437
+0.0687446
+0.0695
+0.0703112
+0.0711716
+0.0720884
+0.0730595
+0.0740825
+0.0751556
+0.0762764
+0.0774362
+0.0786378
+0.0798815
+0.0811652
+0.0824871
+0.0838211
+0.0851682
+0.0865499
+0.0879644
+0.0894102
+0.0908858
+0.0923836
+0.093895
+0.0954327
+0.0969955
+0.0985822
+0.100192
+0.101823
+0.103475
+0.105135
+0.10681
+0.108504
+0.110215
+0.111943
+0.113687
+0.115446
+0.11722
+0.118789
+0.119478
+0.120157
+0.120754
+0.092694
+0.0908291
+0.0889791
+0.0871449
+0.0853216
+0.0835149
+0.081727
+0.0799589
+0.0782103
+0.0764845
+0.074783
+0.0731076
+0.0714601
+0.0698424
+0.0682567
+0.0667053
+0.0651906
+0.0637152
+0.0622819
+0.0608937
+0.0595538
+0.0582654
+0.0570321
+0.0558576
+0.0547454
+0.053687
+0.0526975
+0.0517817
+0.0509438
+0.0501875
+0.0495167
+0.0489348
+0.0484452
+0.0480505
+0.0477531
+0.0475549
+0.0474571
+0.0474603
+0.0475645
+0.0477691
+0.0480727
+0.0484735
+0.0489692
+0.0495568
+0.0502331
+0.0509771
+0.0518025
+0.052706
+0.0536838
+0.0547319
+0.0558463
+0.057023
+0.0582585
+0.0595489
+0.0608908
+0.0622796
+0.0637128
+0.0649449
+0.0655663
+0.0662133
+0.0669259
+0.0677018
+0.0685288
+0.0694114
+0.0703511
+0.0713458
+0.0723931
+0.0734893
+0.0746259
+0.0758088
+0.0770358
+0.0783049
+0.079614
+0.0809475
+0.0822845
+0.0836564
+0.0850626
+0.0865014
+0.0879713
+0.0894611
+0.0909682
+0.0925027
+0.0940632
+0.0956484
+0.0972571
+0.0988882
+0.100537
+0.102194
+0.10387
+0.105566
+0.107279
+0.109009
+0.110756
+0.112519
+0.114296
+0.116087
+0.117757
+0.118432
+0.118998
+0.1196
+0.0924516
+0.0905818
+0.0887266
+0.0868871
+0.0850582
+0.0832458
+0.081452
+0.0796781
+0.0779253
+0.0761953
+0.0744894
+0.0728096
+0.0711575
+0.0695338
+0.0679409
+0.0663821
+0.0648599
+0.0633768
+0.0619357
+0.0605395
+0.0591916
+0.0578951
+0.0566538
+0.0554712
+0.0543512
+0.0532849
+0.0522878
+0.0513647
+0.0505198
+0.0497571
+0.0490805
+0.0484934
+0.0479992
+0.0476008
+0.0473006
+0.0471005
+0.0470017
+0.047005
+0.0471102
+0.0473167
+0.0476232
+0.0480278
+0.048528
+0.0491209
+0.0498031
+0.0505534
+0.0513856
+0.0522964
+0.0532817
+0.0543375
+0.0554598
+0.0566446
+0.0578881
+0.0591866
+0.0605365
+0.0619333
+0.0625753
+0.0631153
+0.063726
+0.0643916
+0.0651241
+0.0659212
+0.066767
+0.067673
+0.068637
+0.0696565
+0.0707258
+0.0718393
+0.0730016
+0.0742103
+0.0754633
+0.0767456
+0.0780539
+0.0793941
+0.0807714
+0.0821751
+0.0836062
+0.0850697
+0.0865474
+0.0880499
+0.0895808
+0.0911387
+0.0927221
+0.0943299
+0.0959607
+0.0976049
+0.0992623
+0.10094
+0.102637
+0.104353
+0.106086
+0.107835
+0.109601
+0.111381
+0.113176
+0.114985
+0.116652
+0.117297
+0.117868
+0.118476
+0.0922607
+0.0903869
+0.0885276
+0.0866839
+0.0848506
+0.0830337
+0.0812352
+0.0794564
+0.0776987
+0.0759635
+0.0742523
+0.0725669
+0.0709092
+0.0692811
+0.0676847
+0.0661224
+0.0645966
+0.0631099
+0.0616653
+0.0602629
+0.0589086
+0.0576058
+0.0563581
+0.0551692
+0.0540429
+0.0529705
+0.0519672
+0.0510384
+0.050188
+0.0494202
+0.0487389
+0.0481476
+0.0476498
+0.0472485
+0.046946
+0.0467444
+0.0466449
+0.0466482
+0.0467542
+0.0469623
+0.0472711
+0.0476787
+0.0481825
+0.0487796
+0.0494665
+0.0502219
+0.0510595
+0.0519759
+0.0529672
+0.0540292
+0.0551577
+0.0563489
+0.0575988
+0.0589037
+0.0598055
+0.0602264
+0.0607082
+0.0612646
+0.0618937
+0.0625931
+0.0633465
+0.0641513
+0.0650199
+0.0659499
+0.0669387
+0.0679837
+0.0690792
+0.0702188
+0.0714075
+0.0726295
+0.0738811
+0.0751758
+0.0765045
+0.0778713
+0.0792751
+0.080714
+0.0821808
+0.083647
+0.0851443
+0.0866712
+0.088226
+0.0898074
+0.0914139
+0.0930442
+0.0946836
+0.0963414
+0.0980202
+0.0997188
+0.101436
+0.103172
+0.104924
+0.106693
+0.108477
+0.110276
+0.112088
+0.113914
+0.115562
+0.116187
+0.116765
+0.117381
+0.0921214
+0.0902447
+0.0883825
+0.0865357
+0.0846992
+0.082879
+0.081077
+0.0792947
+0.0775333
+0.0757943
+0.0740792
+0.0723898
+0.0707279
+0.0690956
+0.0674948
+0.065928
+0.0643975
+0.0629062
+0.0614568
+0.0600523
+0.058696
+0.0573912
+0.0561417
+0.0549511
+0.0538221
+0.0527452
+0.0517376
+0.0508045
+0.0499502
+0.0491787
+0.0484939
+0.0478996
+0.0473993
+0.0469958
+0.0466917
+0.046489
+0.0463889
+0.0463922
+0.0464988
+0.046708
+0.0470185
+0.0474283
+0.0479347
+0.0485348
+0.0492252
+0.0499842
+0.0508257
+0.0517463
+0.0527419
+0.0538083
+0.0549414
+0.0561372
+0.0572396
+0.0575612
+0.057939
+0.0583663
+0.0588634
+0.0594371
+0.0600852
+0.0608054
+0.0615804
+0.0624079
+0.0633005
+0.0642554
+0.0652698
+0.0663412
+0.0674636
+0.0686162
+0.0698023
+0.0710362
+0.0723155
+0.0736318
+0.074987
+0.076381
+0.0778117
+0.0792771
+0.0807613
+0.0822528
+0.0837751
+0.0853264
+0.0869053
+0.0885103
+0.0901385
+0.0917738
+0.0934319
+0.0951116
+0.0968117
+0.0985311
+0.100269
+0.102024
+0.103796
+0.105584
+0.107386
+0.109203
+0.111033
+0.112855
+0.114498
+0.115096
+0.11568
+0.1163
+0.0920341
+0.0901556
+0.0882915
+0.0864427
+0.0846043
+0.0827819
+0.0809778
+0.0791933
+0.0774296
+0.0756882
+0.0739706
+0.0722787
+0.0706142
+0.0689791
+0.0673756
+0.0658059
+0.0642726
+0.0627783
+0.0613258
+0.0599183
+0.0585589
+0.057251
+0.0559984
+0.0548047
+0.0536739
+0.05261
+0.0516
+0.0506644
+0.0498077
+0.0490339
+0.0483471
+0.047751
+0.047249
+0.0468443
+0.0465392
+0.0463358
+0.0462354
+0.0462387
+0.0463457
+0.0465556
+0.0468671
+0.0472781
+0.0477862
+0.0483881
+0.0490806
+0.0498418
+0.0506856
+0.0516087
+0.052607
+0.053676
+0.0548119
+0.0551522
+0.0553993
+0.0557229
+0.0560881
+0.05653
+0.057043
+0.0576349
+0.0583031
+0.059045
+0.0598423
+0.0606935
+0.061611
+0.0625916
+0.0636322
+0.0647175
+0.0658344
+0.0669983
+0.0682128
+0.0694751
+0.0707782
+0.0721204
+0.0735035
+0.0749251
+0.076383
+0.0778754
+0.0793769
+0.0808939
+0.0824413
+0.0840173
+0.0856203
+0.0872421
+0.0888768
+0.0905349
+0.0922153
+0.0939168
+0.0956381
+0.0973783
+0.0991363
+0.100911
+0.102702
+0.104509
+0.106303
+0.108108
+0.109926
+0.111759
+0.113467
+0.114038
+0.114625
+0.115245
+0.0919939
+0.0901148
+0.08825
+0.0864006
+0.084566
+0.0827428
+0.0809378
+0.0791524
+0.0773877
+0.0756454
+0.0739268
+0.0722339
+0.0705683
+0.0689322
+0.0673275
+0.0657567
+0.0642222
+0.0627267
+0.061273
+0.0598642
+0.0585035
+0.0571944
+0.0559405
+0.0547455
+0.0536135
+0.0525484
+0.0515545
+0.0506188
+0.0497613
+0.0489868
+0.0482993
+0.0477026
+0.0472001
+0.0467949
+0.0464895
+0.0462859
+0.0461854
+0.0461887
+0.0462958
+0.0465059
+0.0468178
+0.0472292
+0.0477378
+0.0483404
+0.0490335
+0.0497954
+0.05064
+0.051564
+0.052563
+0.0530693
+0.0531632
+0.0533298
+0.0535853
+0.0538848
+0.0542624
+0.0547197
+0.0552496
+0.0558604
+0.0565496
+0.0573142
+0.0581348
+0.0590064
+0.0599354
+0.060929
+0.0619842
+0.063075
+0.0642142
+0.065407
+0.0666504
+0.0679417
+0.0692738
+0.0706446
+0.072056
+0.0735056
+0.0749912
+0.0765006
+0.0780294
+0.0795721
+0.0811447
+0.0827454
+0.0843601
+0.0859938
+0.0876517
+0.0893326
+0.0910352
+0.0927583
+0.0945007
+0.0962615
+0.0980396
+0.0998022
+0.101581
+0.103375
+0.105184
+0.107008
+0.108845
+0.110685
+0.112386
+0.11301
+0.113596
+0.114222
+0.0920008
+0.0901218
+0.0882572
+0.0864079
+0.084575
+0.0827594
+0.0809571
+0.0791721
+0.0774079
+0.075666
+0.073948
+0.0722555
+0.0705904
+0.0689548
+0.0673507
+0.0657804
+0.0642465
+0.0627515
+0.0612985
+0.0598903
+0.0585302
+0.0572217
+0.0559684
+0.054774
+0.0536426
+0.0525781
+0.0515848
+0.0506667
+0.0498113
+0.0490376
+0.0483508
+0.0477548
+0.0472528
+0.0468481
+0.046543
+0.0463396
+0.0462393
+0.0462426
+0.0463495
+0.0465594
+0.0468709
+0.0472819
+0.0477899
+0.0483918
+0.0490843
+0.0498454
+0.0506892
+0.0513332
+0.0512576
+0.0512705
+0.0513639
+0.0515203
+0.0517669
+0.0520741
+0.0524647
+0.0529382
+0.0534857
+0.0541165
+0.0548274
+0.0555825
+0.0564126
+0.0573091
+0.0582652
+0.0592868
+0.0603485
+0.0614602
+0.0626288
+0.0638511
+0.0651243
+0.0664453
+0.0678068
+0.0692068
+0.0706469
+0.0721227
+0.073619
+0.0751495
+0.0767119
+0.0782894
+0.0798872
+0.081494
+0.0831263
+0.0847837
+0.0864648
+0.0881684
+0.089893
+0.0916342
+0.0933626
+0.09511
+0.0968755
+0.098658
+0.100457
+0.102271
+0.104099
+0.105941
+0.107796
+0.109629
+0.111287
+0.111997
+0.112575
+0.113188
+0.0920598
+0.0901821
+0.0883188
+0.0864708
+0.0846392
+0.082825
+0.0810294
+0.0792524
+0.07749
+0.07575
+0.0740339
+0.0723434
+0.0706805
+0.069047
+0.067445
+0.065877
+0.0643454
+0.0628528
+0.0614021
+0.0599964
+0.0586387
+0.0573327
+0.0560819
+0.05489
+0.053761
+0.0526989
+0.0517079
+0.0507921
+0.0499411
+0.0491694
+0.0484845
+0.0478901
+0.0473896
+0.0469861
+0.0466819
+0.0464791
+0.0463791
+0.0463823
+0.046489
+0.0466983
+0.0470088
+0.0474186
+0.0479252
+0.0485254
+0.049216
+0.0499914
+0.0497285
+0.0495507
+0.0494671
+0.0494804
+0.0495608
+0.0497206
+0.049976
+0.0502936
+0.0506979
+0.0511884
+0.0517545
+0.0523879
+0.0530873
+0.0538668
+0.0547229
+0.0556463
+0.0566305
+0.0576595
+0.0587404
+0.0598819
+0.0610807
+0.0623335
+0.063637
+0.0649882
+0.0663798
+0.0678082
+0.0692669
+0.0707558
+0.0722804
+0.0738386
+0.0754282
+0.0770429
+0.0786455
+0.0802759
+0.0819324
+0.0836132
+0.0853062
+0.0869977
+0.0887085
+0.0904397
+0.0921905
+0.0939597
+0.0957464
+0.0975496
+0.0993683
+0.101202
+0.103049
+0.10491
+0.106757
+0.108607
+0.110222
+0.110894
+0.111491
+0.112115
+0.0921709
+0.0902955
+0.0884345
+0.086589
+0.08476
+0.0829484
+0.0811556
+0.0793827
+0.0776312
+0.0758971
+0.0741845
+0.0724975
+0.0708382
+0.0692084
+0.0676103
+0.0660462
+0.0645186
+0.0630301
+0.0615836
+0.0601821
+0.0588287
+0.057527
+0.0562805
+0.0550929
+0.0539682
+0.0529103
+0.0519233
+0.0510113
+0.050164
+0.0493958
+0.0487141
+0.0481226
+0.0476245
+0.047223
+0.0469203
+0.0467186
+0.046619
+0.0466223
+0.0467284
+0.0469366
+0.0472456
+0.0476534
+0.0481574
+0.0487548
+0.0486297
+0.0482565
+0.0479805
+0.0477966
+0.0477099
+0.0477133
+0.0477789
+0.0479446
+0.0482091
+0.0485296
+0.0489306
+0.0494256
+0.0500079
+0.0506588
+0.0513818
+0.0521867
+0.05307
+0.0540212
+0.0550136
+0.0560599
+0.057171
+0.0583433
+0.059573
+0.0608568
+0.0621913
+0.0635723
+0.064985
+0.0664328
+0.0679132
+0.0694311
+0.0709842
+0.0725702
+0.074159
+0.075756
+0.077382
+0.0790353
+0.0807142
+0.08239
+0.0840822
+0.0857949
+0.0875289
+0.089283
+0.091056
+0.0928469
+0.0946546
+0.0964781
+0.0983167
+0.100169
+0.102036
+0.103897
+0.105752
+0.10762
+0.109182
+0.109822
+0.110425
+0.111068
+0.0923338
+0.0904618
+0.0886044
+0.0867625
+0.0849371
+0.0831294
+0.0813406
+0.0795718
+0.0778246
+0.0761002
+0.0743993
+0.0727173
+0.0710631
+0.0694386
+0.0678459
+0.0662874
+0.0647655
+0.0632828
+0.0618422
+0.0604466
+0.0590994
+0.0578038
+0.0565633
+0.0553818
+0.0542631
+0.053211
+0.0522297
+0.0513232
+0.0504811
+0.0497178
+0.0490406
+0.048453
+0.0479584
+0.0475597
+0.0472592
+0.0470589
+0.0469601
+0.0469633
+0.0470687
+0.0472754
+0.0475821
+0.0479871
+0.0479382
+0.0474279
+0.046943
+0.0465562
+0.04627
+0.04608
+0.0459824
+0.0459446
+0.0460112
+0.0461817
+0.0464274
+0.0467439
+0.0471601
+0.0476735
+0.0482737
+0.0489623
+0.0497142
+0.0505458
+0.0514572
+0.052417
+0.0534246
+0.0545014
+0.0556437
+0.0568474
+0.0581088
+0.0594243
+0.0607892
+0.0621879
+0.0636233
+0.0650939
+0.066604
+0.0681512
+0.0697177
+0.0712795
+0.0728737
+0.0744982
+0.0761511
+0.0778178
+0.0794875
+0.0811798
+0.0828946
+0.0846314
+0.0863888
+0.0881656
+0.0899606
+0.0917729
+0.0936013
+0.095445
+0.0973031
+0.0991747
+0.101052
+0.102912
+0.104779
+0.106658
+0.108115
+0.108784
+0.109393
+0.110042
+0.0925484
+0.0906807
+0.0888279
+0.0869907
+0.0851703
+0.0833676
+0.081584
+0.0798207
+0.0780789
+0.0763604
+0.0746665
+0.0729991
+0.0713546
+0.0697369
+0.0681512
+0.0665998
+0.0650852
+0.0636099
+0.0621769
+0.0607891
+0.0594496
+0.0581617
+0.0569291
+0.0557554
+0.0546442
+0.0535997
+0.0526256
+0.051726
+0.0508906
+0.0501336
+0.049462
+0.0488795
+0.0483893
+0.0479941
+0.0476964
+0.047498
+0.0474
+0.0474033
+0.0475076
+0.0477124
+0.0476372
+0.0469274
+0.0463105
+0.0457813
+0.0452994
+0.0448985
+0.0445949
+0.0443831
+0.0442421
+0.0442028
+0.044272
+0.0444248
+0.0446651
+0.044994
+0.0454263
+0.0459582
+0.046578
+0.0472913
+0.0480887
+0.0489478
+0.0498611
+0.0508413
+0.0518795
+0.0529877
+0.0541619
+0.0553978
+0.0566915
+0.058038
+0.0594208
+0.0608419
+0.0623011
+0.0638021
+0.0653417
+0.0668621
+0.068419
+0.0700098
+0.0716323
+0.0732843
+0.0749304
+0.0766001
+0.0782926
+0.0800093
+0.0817486
+0.0835092
+0.0852897
+0.0870889
+0.0889057
+0.090739
+0.0925879
+0.0944513
+0.0963286
+0.0981839
+0.100043
+0.101916
+0.1038
+0.105693
+0.107083
+0.107759
+0.108334
+0.108947
+0.0928141
+0.0909519
+0.0891047
+0.0872734
+0.085459
+0.0836626
+0.0818854
+0.0801286
+0.0783938
+0.0766822
+0.0749956
+0.0733357
+0.0717043
+0.0701024
+0.0685251
+0.0669824
+0.0654766
+0.0640104
+0.0625866
+0.061208
+0.0598779
+0.0585995
+0.0573763
+0.0562119
+0.0551099
+0.0540744
+0.053109
+0.0522178
+0.0513904
+0.0506408
+0.0499761
+0.0493996
+0.0489146
+0.0485237
+0.0482292
+0.048033
+0.0479362
+0.0479393
+0.0477469
+0.0468721
+0.046085
+0.0453645
+0.0447086
+0.0441483
+0.0436732
+0.0432356
+0.0429055
+0.0426803
+0.0425435
+0.0425026
+0.0425531
+0.0426957
+0.0429423
+0.0432843
+0.0437335
+0.0442822
+0.0449252
+0.0456643
+0.0464949
+0.0473685
+0.0483014
+0.0493125
+0.0503822
+0.0515226
+0.0527294
+0.0539982
+0.0553236
+0.0566879
+0.0580925
+0.0595385
+0.0610288
+0.0625166
+0.0640292
+0.0655801
+0.0671667
+0.0687865
+0.0704191
+0.0720605
+0.0737287
+0.075422
+0.0771404
+0.0788821
+0.0806458
+0.0824299
+0.0842333
+0.0860546
+0.0878928
+0.0897468
+0.0916156
+0.0934732
+0.0953237
+0.0971882
+0.0990662
+0.100957
+0.102849
+0.104745
+0.106075
+0.106611
+0.107189
+0.107808
+0.0931306
+0.0912749
+0.0894344
+0.0876099
+0.0858026
+0.0840136
+0.082244
+0.0804951
+0.0787683
+0.077065
+0.075387
+0.0737359
+0.0721135
+0.0705219
+0.0689631
+0.0674341
+0.0659386
+0.0644829
+0.0630697
+0.061702
+0.0603827
+0.0591152
+0.0579029
+0.0567493
+0.055658
+0.0546328
+0.0536775
+0.0527959
+0.0519777
+0.0512367
+0.0505798
+0.0500103
+0.0495313
+0.0491453
+0.0488546
+0.0486609
+0.048311
+0.0472673
+0.0462874
+0.0453863
+0.0445748
+0.043829
+0.0431463
+0.0425654
+0.042051
+0.0415951
+0.0412507
+0.0410114
+0.0408769
+0.040831
+0.0408622
+0.0410106
+0.0412606
+0.0416164
+0.0420834
+0.0426529
+0.0433201
+0.0440861
+0.0449459
+0.0458287
+0.0467924
+0.0478353
+0.0489372
+0.0501106
+0.0513506
+0.0526515
+0.0539944
+0.0553735
+0.0567995
+0.0582588
+0.0597186
+0.0612219
+0.0627658
+0.0643472
+0.0659631
+0.0675707
+0.0692102
+0.0708764
+0.0725702
+0.0742899
+0.0760338
+0.0778004
+0.079588
+0.0813954
+0.0832211
+0.0850641
+0.0869232
+0.0887829
+0.0906232
+0.0924787
+0.0943487
+0.0962321
+0.0981284
+0.10002
+0.101921
+0.103834
+0.104951
+0.105492
+0.106076
+0.106702
+0.0934974
+0.0916492
+0.0898163
+0.0879997
+0.0862006
+0.08442
+0.0826591
+0.0809191
+0.0792016
+0.0775079
+0.0758397
+0.0741986
+0.0725866
+0.0710055
+0.0694576
+0.0679451
+0.0664628
+0.0650192
+0.0636183
+0.062263
+0.0609563
+0.0597014
+0.0585017
+0.0573605
+0.0562815
+0.0552683
+0.0543247
+0.0534541
+0.0526497
+0.0519183
+0.0512701
+0.0507084
+0.050236
+0.0498555
+0.0493036
+0.0481
+0.0469641
+0.0458897
+0.0448758
+0.0439458
+0.0431071
+0.0423438
+0.0416367
+0.0410343
+0.0404732
+0.0399993
+0.039641
+0.0393937
+0.0392536
+0.0391882
+0.0392208
+0.0393754
+0.0396282
+0.0399985
+0.0404842
+0.0410759
+0.0417682
+0.0425621
+0.0434363
+0.0443437
+0.045339
+0.0464145
+0.0475493
+0.048756
+0.0500263
+0.0513205
+0.0526739
+0.0540823
+0.0555056
+0.0569517
+0.0584441
+0.0599794
+0.0615544
+0.0631417
+0.0647451
+0.0663811
+0.0680457
+0.0697393
+0.07146
+0.0732058
+0.074975
+0.0767659
+0.0785771
+0.0804072
+0.0822548
+0.0841163
+0.0859448
+0.0877899
+0.0896506
+0.0915259
+0.0934149
+0.0953117
+0.0972068
+0.099114
+0.101033
+0.102962
+0.10386
+0.104407
+0.104997
+0.105629
+0.0939139
+0.092074
+0.0902497
+0.0884421
+0.0866522
+0.084881
+0.0831299
+0.0814
+0.0796928
+0.0780098
+0.0763525
+0.0747227
+0.0731223
+0.0715531
+0.0700172
+0.068517
+0.0670475
+0.0656167
+0.0642289
+0.0628867
+0.0615932
+0.0603516
+0.059165
+0.0580369
+0.0569707
+0.05597
+0.0550384
+0.0541793
+0.0533964
+0.0526822
+0.0520436
+0.0514903
+0.0507257
+0.0493788
+0.0480768
+0.0468411
+0.0456754
+0.0445681
+0.0435226
+0.0425628
+0.041696
+0.0409177
+0.0401856
+0.0395381
+0.0389542
+0.0384621
+0.0380893
+0.0378337
+0.0376746
+0.0376014
+0.0376353
+0.0377896
+0.0380519
+0.0384374
+0.0389426
+0.0395573
+0.0402757
+0.0410985
+0.041981
+0.0429192
+0.0439468
+0.0450554
+0.0462236
+0.0474272
+0.0486919
+0.0500206
+0.0514066
+0.0527906
+0.0542206
+0.0557
+0.0572251
+0.0587872
+0.0603474
+0.0619457
+0.0635766
+0.0652392
+0.0669322
+0.0686533
+0.0704006
+0.072172
+0.0739659
+0.0757807
+0.0776148
+0.0794671
+0.0812924
+0.0831253
+0.0849752
+0.0868409
+0.0887215
+0.090616
+0.0925115
+0.0944119
+0.0963247
+0.0982491
+0.100184
+0.10213
+0.102804
+0.103357
+0.103953
+0.104591
+0.0943774
+0.0925488
+0.090734
+0.0889363
+0.0871565
+0.0853958
+0.0836554
+0.0819366
+0.0802409
+0.0785696
+0.0769244
+0.075307
+0.0737192
+0.072163
+0.0706404
+0.0691537
+0.0676979
+0.0662813
+0.0649076
+0.0635798
+0.0623007
+0.0610734
+0.0599012
+0.0587872
+0.0577349
+0.0567476
+0.055829
+0.0549823
+0.0542109
+0.0535182
+0.0525367
+0.0510521
+0.0496199
+0.0482446
+0.0469125
+0.0456454
+0.0444443
+0.0433047
+0.0422275
+0.0412375
+0.0403423
+0.0395395
+0.0387849
+0.0380986
+0.0374907
+0.0369807
+0.0365945
+0.0363207
+0.0361314
+0.0360566
+0.036092
+0.0362599
+0.036539
+0.0369403
+0.0374656
+0.0381042
+0.038834
+0.0396424
+0.0405393
+0.0415324
+0.0426151
+0.0437256
+0.0448866
+0.0461217
+0.0474212
+0.048745
+0.0501122
+0.051531
+0.052995
+0.0545077
+0.0560327
+0.0575841
+0.0591756
+0.0608007
+0.0624603
+0.0641518
+0.0658728
+0.0676209
+0.0693941
+0.0711906
+0.0730086
+0.0748466
+0.0766707
+0.0784892
+0.0803264
+0.0821808
+0.0840515
+0.0859373
+0.0878372
+0.0897308
+0.0916365
+0.0935547
+0.0954847
+0.0974257
+0.099377
+0.101271
+0.101785
+0.102343
+0.102945
+0.10359
+0.0948814
+0.093064
+0.0912629
+0.0894793
+0.0877126
+0.0859633
+0.0842347
+0.082528
+0.0808446
+0.079186
+0.0775539
+0.0759499
+0.0743758
+0.0728337
+0.0713254
+0.0698533
+0.0684124
+0.0670109
+0.0656525
+0.06434
+0.0630764
+0.0618645
+0.0607075
+0.0596086
+0.058571
+0.0575981
+0.0566932
+0.0558596
+0.0546898
+0.0530981
+0.0515503
+0.0500467
+0.048584
+0.0471777
+0.0458162
+0.0445138
+0.0432831
+0.0421005
+0.0409908
+0.0399705
+0.0390465
+0.0382126
+0.0374248
+0.0367179
+0.0360879
+0.0355573
+0.0351428
+0.0348437
+0.0346426
+0.0345676
+0.0346052
+0.0347804
+0.0350786
+0.0354965
+0.0360429
+0.0366784
+0.0374
+0.038224
+0.0391534
+0.0401808
+0.041299
+0.0424193
+0.043615
+0.0448596
+0.0461379
+0.0474791
+0.0488816
+0.0503353
+0.051822
+0.0533159
+0.0548567
+0.0564383
+0.0580573
+0.0597129
+0.0614019
+0.0631218
+0.06487
+0.0666445
+0.068443
+0.0702579
+0.0720855
+0.073887
+0.0757091
+0.0775502
+0.079409
+0.0812844
+0.0831752
+0.0850741
+0.0869715
+0.0888825
+0.090806
+0.0927414
+0.0946879
+0.0966449
+0.098599
+0.100282
+0.100801
+0.101365
+0.101972
+0.102622
+0.0954331
+0.0936264
+0.0918363
+0.090064
+0.0883105
+0.0865769
+0.0848645
+0.0831728
+0.0815027
+0.0798579
+0.0782397
+0.0766501
+0.0750907
+0.0735635
+0.0720705
+0.070614
+0.069189
+0.0678034
+0.0664612
+0.0651651
+0.0639177
+0.0627221
+0.0615812
+0.0604982
+0.0594762
+0.0585183
+0.0571774
+0.0554841
+0.0538268
+0.0522087
+0.0506338
+0.0490971
+0.0476057
+0.0461604
+0.0447609
+0.0434269
+0.0421645
+0.0409686
+0.0398274
+0.0387765
+0.0378234
+0.0369495
+0.0361263
+0.0353908
+0.0347329
+0.0341777
+0.033732
+0.0334241
+0.0332141
+0.0331336
+0.0331723
+0.0333493
+0.0336462
+0.0340815
+0.0346256
+0.0352841
+0.0360234
+0.0368781
+0.0378406
+0.038896
+0.0400345
+0.0411881
+0.0423535
+0.043595
+0.0449053
+0.0462822
+0.04772
+0.0491654
+0.050643
+0.0521707
+0.0537402
+0.0553515
+0.0570014
+0.0586867
+0.0604044
+0.0621519
+0.0639188
+0.0657086
+0.067522
+0.0693254
+0.0711294
+0.0729545
+0.0747992
+0.0766622
+0.078542
+0.0804261
+0.082325
+0.0842319
+0.0861516
+0.0880805
+0.0900212
+0.0919731
+0.0939155
+0.0958627
+0.0978201
+0.0993293
+0.0998531
+0.100422
+0.101035
+0.101691
+0.0960315
+0.0942363
+0.0924581
+0.090698
+0.088957
+0.0872362
+0.0855369
+0.0838605
+0.0822082
+0.0805816
+0.0789804
+0.077406
+0.0758621
+0.0743508
+0.0728739
+0.0714338
+0.0700254
+0.0686568
+0.0673316
+0.0660525
+0.0648222
+0.0636436
+0.0625196
+0.0614531
+0.0599627
+0.0581856
+0.0564376
+0.054718
+0.0530282
+0.0513763
+0.0497653
+0.0481951
+0.0466748
+0.0452078
+0.0437891
+0.0424253
+0.0411313
+0.0398991
+0.0387464
+0.0376654
+0.0366585
+0.0357313
+0.0348869
+0.0341272
+0.0334456
+0.03286
+0.0323961
+0.0320598
+0.0318277
+0.0317224
+0.0317628
+0.0319415
+0.0322514
+0.0327021
+0.0332665
+0.0339537
+0.0347213
+0.0356074
+0.0365965
+0.0376771
+0.0388166
+0.0399304
+0.0411284
+0.0424018
+0.0437478
+0.04516
+0.0465634
+0.0480211
+0.0495314
+0.0510875
+0.0526888
+0.0543312
+0.0560112
+0.0577151
+0.0594495
+0.0612131
+0.0630036
+0.064813
+0.0665951
+0.0684008
+0.0702285
+0.072076
+0.0739301
+0.0758022
+0.0776909
+0.0795947
+0.0815066
+0.0834316
+0.0853693
+0.0873191
+0.0892548
+0.0911961
+0.0931486
+0.0951114
+0.097084
+0.098416
+0.0989447
+0.0995188
+0.100138
+0.100799
+0.096676
+0.0948929
+0.0931273
+0.09138
+0.0896522
+0.0879451
+0.0862598
+0.0845977
+0.0829601
+0.0813486
+0.0797646
+0.07821
+0.0766864
+0.0751936
+0.0737337
+0.0723106
+0.0709197
+0.0695686
+0.0682612
+0.0669998
+0.0657873
+0.0646263
+0.0629758
+0.0611282
+0.059304
+0.0575053
+0.0557347
+0.053995
+0.052286
+0.0506099
+0.0489737
+0.0473772
+0.0458298
+0.0443355
+0.0428884
+0.0415065
+0.0401812
+0.0389176
+0.0377382
+0.036588
+0.0355241
+0.0345665
+0.0336726
+0.0328968
+0.0321977
+0.0315883
+0.0311067
+0.0307551
+0.0305131
+0.0304037
+0.0304458
+0.0306259
+0.0309489
+0.0314075
+0.0319864
+0.0326819
+0.0335052
+0.034422
+0.0354339
+0.0365489
+0.0376066
+0.0387526
+0.0399816
+0.0412903
+0.0426525
+0.0440218
+0.0454554
+0.0469475
+0.0484877
+0.0500761
+0.0516955
+0.0533558
+0.0550532
+0.0567844
+0.0585464
+0.0603364
+0.0621142
+0.0638964
+0.0657033
+0.0675201
+0.0693576
+0.0712151
+0.073091
+0.074984
+0.0768924
+0.078809
+0.0807388
+0.0826816
+0.0846209
+0.0865553
+0.0885017
+0.0904592
+0.0924273
+0.0944051
+0.0963613
+0.0975434
+0.0980768
+0.098656
+0.0992801
+0.0999445
+0.0973654
+0.0955953
+0.0938428
+0.0921091
+0.0903953
+0.0887025
+0.0870318
+0.0853847
+0.0837625
+0.0821667
+0.0805989
+0.0790606
+0.0775538
+0.0760802
+0.0746417
+0.0732406
+0.0718696
+0.0705368
+0.0692476
+0.0680046
+0.0662035
+0.0642994
+0.0624141
+0.0605494
+0.0587072
+0.0568897
+0.0550993
+0.0533388
+0.0516113
+0.0499202
+0.0482681
+0.0466479
+0.0450755
+0.0435561
+0.0420822
+0.0406545
+0.0392759
+0.0379736
+0.036745
+0.0355865
+0.0344869
+0.0334719
+0.032553
+0.03175
+0.031025
+0.0303933
+0.0299091
+0.0295553
+0.0293034
+0.0291901
+0.0292339
+0.029413
+0.0297166
+0.0301766
+0.0307627
+0.0314852
+0.0323402
+0.0332819
+0.0343182
+0.0354016
+0.0364853
+0.0376609
+0.0389244
+0.0402176
+0.0415516
+0.0429468
+0.0443992
+0.0459103
+0.0474744
+0.0490864
+0.0507419
+0.0524366
+0.0541654
+0.0559241
+0.0576878
+0.0594412
+0.0612228
+0.0630155
+0.0648326
+0.0666722
+0.0685325
+0.0704117
+0.0723085
+0.0742211
+0.0761418
+0.0780761
+0.0800185
+0.0819445
+0.0838834
+0.0858345
+0.0877968
+0.0897691
+0.0917371
+0.0936915
+0.0956561
+0.0967126
+0.0972506
+0.0978346
+0.0984639
+0.0990963
+0.098
+0.0962643
+0.0945474
+0.0928506
+0.0911747
+0.0895071
+0.0878517
+0.0862203
+0.0846141
+0.0830347
+0.0814835
+0.0799623
+0.0784728
+0.0770167
+0.0755961
+0.074213
+0.0728695
+0.0714956
+0.0695599
+0.0676399
+0.0657367
+0.0638247
+0.0619249
+0.060045
+0.0581868
+0.0563525
+0.0545445
+0.0527656
+0.0510186
+0.0493072
+0.0476231
+0.04598
+0.0443841
+0.0428157
+0.0412965
+0.0398279
+0.0384213
+0.0370883
+0.0358136
+0.0346244
+0.0334925
+0.0324495
+0.0315168
+0.0306867
+0.0299667
+0.0293122
+0.0288099
+0.0284075
+0.0281461
+0.0280525
+0.0280908
+0.0282406
+0.0285582
+0.029038
+0.0296487
+0.0303977
+0.031253
+0.0322094
+0.0332259
+0.0342942
+0.0354226
+0.0366062
+0.0378222
+0.0391152
+0.0404782
+0.0419017
+0.0433891
+0.0449342
+0.0465311
+0.0481747
+0.0498604
+0.0515841
+0.0533254
+0.0550434
+0.056794
+0.0585742
+0.060366
+0.0621834
+0.0640242
+0.0658864
+0.0677682
+0.0696681
+0.0715841
+0.0735084
+0.0754466
+0.077369
+0.0792988
+0.0812418
+0.0831968
+0.0851598
+0.0871336
+0.0890904
+0.0910489
+0.0930177
+0.0949963
+0.0959246
+0.096467
+0.0970557
+0.0976901
+0.0982897
+0.098627
+0.0969025
+0.0951971
+0.093512
+0.0918483
+0.090207
+0.0885895
+0.0869972
+0.0854313
+0.0838934
+0.082385
+0.0809078
+0.0794415
+0.0780036
+0.0766013
+0.0750435
+0.0730705
+0.0711103
+0.0691638
+0.0672325
+0.0653175
+0.0634203
+0.0615099
+0.0596169
+0.0577449
+0.055896
+0.0540704
+0.0522654
+0.0504884
+0.048745
+0.0470391
+0.0453749
+0.0437395
+0.0421445
+0.0405884
+0.0390932
+0.0376459
+0.0362634
+0.0349585
+0.0337392
+0.0326048
+0.0315348
+0.0305722
+0.0297156
+0.0289695
+0.0282824
+0.0277403
+0.0273556
+0.027084
+0.0269811
+0.0270098
+0.0271792
+0.027509
+0.0280068
+0.0286127
+0.0293565
+0.0302363
+0.0311997
+0.0321875
+0.0332709
+0.0343696
+0.0355184
+0.0367619
+0.038091
+0.0394893
+0.0409472
+0.0424681
+0.0440454
+0.0456734
+0.0473468
+0.049061
+0.0507374
+0.0524488
+0.0541946
+0.0559716
+0.0577612
+0.0595775
+0.0614183
+0.0632813
+0.0651647
+0.0670668
+0.0689855
+0.0709126
+0.0728356
+0.074754
+0.076687
+0.0786295
+0.0805847
+0.0825516
+0.0845227
+0.0864736
+0.0884358
+0.0904085
+0.092391
+0.0943827
+0.0951806
+0.0957271
+0.0963204
+0.0969596
+0.0975256
+0.098022
+0.0972237
+0.0958925
+0.0942198
+0.0925688
+0.0909405
+0.0893363
+0.0877575
+0.0862054
+0.0846816
+0.0831875
+0.0817249
+0.0802953
+0.078734
+0.0767332
+0.0747408
+0.0727596
+0.0707907
+0.0688352
+0.0668944
+0.0649694
+0.0630618
+0.0611461
+0.0592394
+0.057353
+0.0554889
+0.0536485
+0.0518265
+0.0500339
+0.0482742
+0.0465461
+0.0448425
+0.043183
+0.0415541
+0.0399667
+0.0384387
+0.0369634
+0.0355544
+0.0342225
+0.032976
+0.0318206
+0.0307469
+0.0297313
+0.0288301
+0.0280439
+0.0273652
+0.0268047
+0.0263803
+0.0260985
+0.0259989
+0.0260302
+0.0261918
+0.0265321
+0.0270136
+0.0276416
+0.0284109
+0.0292755
+0.0302195
+0.031241
+0.0322661
+0.0333435
+0.0345265
+0.0358045
+0.0371677
+0.0385995
+0.0400898
+0.041642
+0.0432495
+0.0449064
+0.0465487
+0.0482097
+0.0499115
+0.0516489
+0.0534159
+0.0552074
+0.0570209
+0.0588601
+0.0607225
+0.0626063
+0.0645094
+0.0664297
+0.0683525
+0.0702567
+0.0721733
+0.0741045
+0.0760498
+0.078008
+0.0799784
+0.0819358
+0.0838897
+0.085855
+0.087831
+0.0898169
+0.091793
+0.0937512
+0.0944814
+0.095032
+0.0956296
+0.0962733
+0.096805
+0.0972113
+0.0964063
+0.0956446
+0.0949274
+0.0933317
+0.09172
+0.0901302
+0.0885655
+0.0870278
+0.0855187
+0.0840395
+0.0825482
+0.080523
+0.0785066
+0.0764999
+0.0745012
+0.0725135
+0.0705377
+0.0685751
+0.0666266
+0.0646937
+0.0627708
+0.0608387
+0.0589248
+0.0570308
+0.0551587
+0.0533102
+0.0514772
+0.0496711
+0.0478784
+0.0461201
+0.0444003
+0.0427134
+0.041054
+0.0394465
+0.0378974
+0.0364002
+0.0349685
+0.0336135
+0.0323435
+0.0311539
+0.0300265
+0.0289962
+0.0280599
+0.0272379
+0.0265264
+0.0259806
+0.0255094
+0.0252179
+0.0250929
+0.025143
+0.02531
+0.0256333
+0.0261313
+0.0267631
+0.0275214
+0.0283982
+0.0293571
+0.0303337
+0.0313245
+0.0324331
+0.0336481
+0.0349582
+0.0363533
+0.0378159
+0.0393359
+0.0409167
+0.0425121
+0.0441075
+0.0457522
+0.047438
+0.0491612
+0.0509203
+0.0527117
+0.0545205
+0.0563561
+0.0582162
+0.0600986
+0.0620013
+0.063911
+0.0658131
+0.0677131
+0.0696301
+0.0715629
+0.0735101
+0.0754707
+0.0774419
+0.0793855
+0.0813416
+0.0833095
+0.0852882
+0.0872691
+0.0892209
+0.0911817
+0.0931527
+0.0938283
+0.0943826
+0.0949843
+0.0955993
+0.096129
+0.0964436
+0.095632
+0.0948642
+0.0941411
+0.0934637
+0.0925352
+0.0909622
+0.0894151
+0.0878954
+0.0864032
+0.084427
+0.0823897
+0.0803604
+0.0783399
+0.0763288
+0.0743255
+0.0723329
+0.0703521
+0.0683841
+0.0664202
+0.0644687
+0.0625331
+0.0606019
+0.0586857
+0.0567847
+0.0549043
+0.0530462
+0.0512038
+0.0493695
+0.0475655
+0.0457853
+0.0440323
+0.0423201
+0.0406539
+0.0390395
+0.0374716
+0.0359545
+0.0345097
+0.0331289
+0.0318009
+0.0305405
+0.0293895
+0.0283433
+0.0273906
+0.0265352
+0.0258089
+0.0252265
+0.0247519
+0.0244474
+0.0243022
+0.0243539
+0.0245287
+0.0248776
+0.0253593
+0.0259761
+0.0267586
+0.0276423
+0.0285453
+0.0294649
+0.0305113
+0.0316485
+0.0328924
+0.0342315
+0.035655
+0.0371451
+0.038675
+0.040184
+0.0417534
+0.0433719
+0.0450375
+0.0467465
+0.0484942
+0.0502766
+0.0520843
+0.0539138
+0.0557694
+0.0576485
+0.0595385
+0.0614225
+0.0633176
+0.0652167
+0.0671335
+0.0690667
+0.0710148
+0.0729766
+0.0749308
+0.0768755
+0.078833
+0.0808025
+0.0827676
+0.0847317
+0.0866833
+0.088646
+0.0906192
+0.0926022
+0.093222
+0.09378
+0.0943855
+0.0949652
+0.0954985
+0.0957198
+0.0949021
+0.0941283
+0.0933995
+0.0927167
+0.092081
+0.0914933
+0.0903043
+0.08843
+0.086376
+0.0843289
+0.0822892
+0.0802574
+0.0782342
+0.0762153
+0.0741981
+0.0721909
+0.0701948
+0.0682106
+0.0662395
+0.0642825
+0.0623411
+0.0604034
+0.0584807
+0.0565774
+0.0546879
+0.0528197
+0.0509773
+0.0491347
+0.047303
+0.045503
+0.0437387
+0.0420145
+0.0403357
+0.038708
+0.0371383
+0.0356005
+0.0341012
+0.0326799
+0.0313474
+0.0300745
+0.0289008
+0.0278171
+0.0268458
+0.0259724
+0.02523
+0.0246339
+0.0241476
+0.0238373
+0.0236883
+0.0236824
+0.0238226
+0.0241615
+0.0246908
+0.0253276
+0.0261292
+0.0269593
+0.0277775
+0.0287218
+0.0297974
+0.0309852
+0.0322547
+0.0336192
+0.0350675
+0.036497
+0.0379656
+0.0394951
+0.0410843
+0.0427268
+0.0444166
+0.0461486
+0.0479123
+0.0497096
+0.0515374
+0.0533879
+0.0552539
+0.0571116
+0.0589917
+0.0608775
+0.062774
+0.064689
+0.066621
+0.0685686
+0.0705305
+0.0724652
+0.0744098
+0.0763677
+0.0783138
+0.0802709
+0.0822306
+0.0841831
+0.0861471
+0.0881218
+0.090105
+0.0920964
+0.0926636
+0.0932249
+0.093834
+0.0943778
+0.0949143
+0.0950411
+0.0942175
+0.093438
+0.0927037
+0.0920158
+0.0913752
+0.090783
+0.09024
+0.0883819
+0.086327
+0.0842791
+0.0822328
+0.0801874
+0.0781499
+0.0761209
+0.0741011
+0.0720913
+0.0700923
+0.0681052
+0.0661309
+0.0641706
+0.0622257
+0.0602815
+0.058354
+0.0564457
+0.0545562
+0.0526835
+0.050836
+0.0489699
+0.0471317
+0.045325
+0.0435534
+0.0418216
+0.0401347
+0.0384985
+0.0368885
+0.0353192
+0.0338074
+0.0323732
+0.0310276
+0.0297407
+0.0285324
+0.0274417
+0.026449
+0.0255802
+0.0248061
+0.0241844
+0.0236574
+0.0233031
+0.0231313
+0.0231062
+0.0232641
+0.0236093
+0.0241339
+0.024748
+0.0255318
+0.0263397
+0.0271575
+0.0281226
+0.0292203
+0.030425
+0.0317253
+0.0331145
+0.0344496
+0.0358689
+0.0373558
+0.0389091
+0.0405208
+0.0421782
+0.0438824
+0.0456282
+0.0474109
+0.0492266
+0.0510663
+0.0528959
+0.054752
+0.0566261
+0.0584997
+0.0603914
+0.062302
+0.0642208
+0.0661566
+0.0681078
+0.0700498
+0.0719864
+0.0739162
+0.0758603
+0.0778174
+0.0797714
+0.0817228
+0.0836843
+0.0856569
+0.0876398
+0.0896325
+0.0916341
+0.0921539
+0.0927183
+0.0933307
+0.0938378
+0.0943774
+0.0944083
+0.0935791
+0.0927943
+0.0920549
+0.091362
+0.0907168
+0.0901203
+0.0895733
+0.0883816
+0.0863173
+0.0842571
+0.0822037
+0.0801576
+0.0781193
+0.0760895
+0.0740689
+0.0720582
+0.0700582
+0.0680701
+0.0660947
+0.0641333
+0.0621725
+0.0602258
+0.0582964
+0.0563862
+0.054497
+0.0526312
+0.0507712
+0.0489027
+0.0470619
+0.0452524
+0.0434779
+0.0417429
+0.0400482
+0.0383831
+0.0367479
+0.0351724
+0.0336539
+0.0322066
+0.0308074
+0.0295036
+0.0282852
+0.0271843
+0.0261818
+0.0252671
+0.0244831
+0.0238143
+0.0232827
+0.0229225
+0.0227349
+0.0226685
+0.0228127
+0.0231294
+0.0236105
+0.0242336
+0.0250071
+0.025801
+0.0266547
+0.0276373
+0.0287536
+0.0299771
+0.0312959
+0.0325612
+0.033918
+0.0353572
+0.0368565
+0.0384223
+0.0400467
+0.041723
+0.0434451
+0.0452077
+0.0470064
+0.0488009
+0.0506176
+0.0524629
+0.0543275
+0.0561771
+0.0580505
+0.0599453
+0.0618598
+0.0637919
+0.0657403
+0.0676741
+0.0695857
+0.0715132
+0.0734555
+0.0754114
+0.0773512
+0.0792997
+0.0812607
+0.083233
+0.085216
+0.087209
+0.0892113
+0.0911756
+0.0916937
+0.0922609
+0.0928522
+0.0933461
+0.0938795
+0.0938137
+0.092988
+0.0921981
+0.0914539
+0.0907565
+0.0901069
+0.0895063
+0.0889556
+0.088411
+0.0863452
+0.0842857
+0.082233
+0.0801877
+0.0781502
+0.0761212
+0.0741014
+0.0720916
+0.0700926
+0.0681055
+0.0661312
+0.0641574
+0.0621957
+0.0602497
+0.0583212
+0.0564015
+0.054495
+0.0526107
+0.0507511
+0.0489188
+0.047081
+0.045272
+0.0434884
+0.0417307
+0.0400156
+0.0383491
+0.0367301
+0.0351456
+0.0336241
+0.0321373
+0.0307348
+0.029428
+0.0282065
+0.0270868
+0.026071
+0.0251417
+0.0243536
+0.0236422
+0.0230675
+0.0226629
+0.0224282
+0.0223607
+0.0224688
+0.0227849
+0.0232761
+0.0238501
+0.0245417
+0.0253772
+0.0263241
+0.0273186
+0.0284473
+0.0296844
+0.0308688
+0.0321479
+0.0335091
+0.0349504
+0.0364665
+0.0380483
+0.0396881
+0.0413789
+0.0431147
+0.0448672
+0.0466314
+0.0484304
+0.0502605
+0.0520709
+0.053909
+0.0557724
+0.0576589
+0.0595662
+0.0614925
+0.0634143
+0.0653353
+0.067242
+0.0691655
+0.0711044
+0.0730464
+0.0749789
+0.0769251
+0.0788842
+0.0808552
+0.0828372
+0.0848295
+0.0868314
+0.0888421
+0.090592
+0.0912837
+0.0918535
+0.0924072
+0.0928943
+0.0934295
+0.0932556
+0.0924261
+0.0916415
+0.0909018
+0.0902001
+0.0895465
+0.0889421
+0.0883879
+0.0878847
+0.0864286
+0.0843712
+0.0823207
+0.0802775
+0.0782424
+0.0762158
+0.0741986
+0.0721915
+0.0701954
+0.0682113
+0.0662278
+0.0642546
+0.0622911
+0.0603321
+0.0583897
+0.0564654
+0.0545612
+0.0526792
+0.0508221
+0.0489924
+0.0471862
+0.0453611
+0.0435687
+0.0418143
+0.0401029
+0.0384218
+0.0367772
+0.0351922
+0.0336751
+0.0322159
+0.030817
+0.0295139
+0.0282854
+0.0271424
+0.0260514
+0.025084
+0.0242614
+0.0235401
+0.0229435
+0.0225367
+0.0222942
+0.0222241
+0.02233
+0.0226015
+0.0230038
+0.0235669
+0.024266
+0.0251106
+0.0260989
+0.0271408
+0.0282745
+0.0293739
+0.0305587
+0.0318502
+0.0332243
+0.0346755
+0.0361992
+0.0377885
+0.0394354
+0.0411276
+0.0428348
+0.0445718
+0.0463472
+0.0481133
+0.0499047
+0.0517269
+0.0535767
+0.0554514
+0.0573484
+0.0592419
+0.0611408
+0.0630586
+0.0649616
+0.0668789
+0.0688096
+0.0707283
+0.0726612
+0.0746036
+0.0765594
+0.0785276
+0.0805074
+0.0824977
+0.084498
+0.0865075
+0.0885257
+0.0900449
+0.0908253
+0.0914967
+0.0920029
+0.0924914
+0.0930289
+0.0927459
+0.0919118
+0.0911228
+0.09038
+0.0896846
+0.0890365
+0.0884285
+0.0878711
+0.087365
+0.0865675
+0.0845134
+0.0824664
+0.080427
+0.0783957
+0.0763732
+0.0743541
+0.0723427
+0.0703421
+0.0683531
+0.0663768
+0.0643956
+0.0624259
+0.0604713
+0.0585334
+0.056614
+0.054715
+0.0528385
+0.0509872
+0.0491637
+0.0473617
+0.0455436
+0.0437587
+0.0420123
+0.0402788
+0.038589
+0.0369518
+0.0353746
+0.0338658
+0.0324154
+0.0310256
+0.0296804
+0.0283899
+0.0271879
+0.0261146
+0.0251555
+0.0243218
+0.023573
+0.0229692
+0.0225598
+0.0222975
+0.0221773
+0.0222419
+0.0225166
+0.0229201
+0.0234852
+0.02417
+0.0250164
+0.0259733
+0.0269673
+0.0280747
+0.0291816
+0.0303739
+0.031673
+0.0330567
+0.0345129
+0.0360434
+0.0376361
+0.0392644
+0.0409305
+0.0426324
+0.0443439
+0.0460736
+0.0478412
+0.0496424
+0.0514739
+0.0533325
+0.055189
+0.0570545
+0.0589425
+0.0608461
+0.0627394
+0.0646515
+0.0665591
+0.0684708
+0.0703987
+0.0723403
+0.0742911
+0.0762549
+0.0782308
+0.0802178
+0.0822152
+0.084213
+0.0862132
+0.0882214
+0.089548
+0.0903327
+0.0911633
+0.0916485
+0.0921388
+0.0926784
+0.0922854
+0.0914472
+0.0906541
+0.0899074
+0.0892083
+0.0885578
+0.087953
+0.087399
+0.0868966
+0.0864411
+0.0847103
+0.0826607
+0.0806184
+0.0785842
+0.0765586
+0.0745424
+0.0725363
+0.0705411
+0.0685579
+0.0665779
+0.0646003
+0.062637
+0.0606892
+0.0587586
+0.0568468
+0.0549558
+0.0530878
+0.0512455
+0.0494315
+0.047611
+0.0458222
+0.0440476
+0.0422815
+0.0405568
+0.0388791
+0.0372547
+0.0356909
+0.034196
+0.0326902
+0.0312233
+0.0298331
+0.0285238
+0.0273277
+0.0262314
+0.0252468
+0.0244065
+0.0236773
+0.0230763
+0.0226475
+0.022385
+0.0222653
+0.0223296
+0.0226071
+0.0230012
+0.0235616
+0.0242498
+0.025035
+0.0258992
+0.0268804
+0.0279509
+0.0291244
+0.0303466
+0.0316468
+0.0330232
+0.0344785
+0.0359929
+0.0375575
+0.0391611
+0.0407851
+0.0424496
+0.0441573
+0.0458941
+0.0476683
+0.0494758
+0.0512813
+0.0531059
+0.0549548
+0.0568281
+0.0586911
+0.0605725
+0.0624741
+0.0643791
+0.0662812
+0.0682006
+0.070136
+0.0720845
+0.0740421
+0.0760124
+0.0779863
+0.0799611
+0.0819467
+0.0839425
+0.0859478
+0.0879619
+0.0891023
+0.0898909
+0.0907255
+0.0913452
+0.0918372
+0.0923785
+0.0918749
+0.0910328
+0.0902361
+0.089486
+0.0887836
+0.0881299
+0.0875222
+0.0869654
+0.0864605
+0.0860085
+0.0849322
+0.082888
+0.0808515
+0.0788234
+0.0768041
+0.0747944
+0.0727953
+0.0708074
+0.0688294
+0.0668467
+0.0648774
+0.0629227
+0.0609841
+0.0590631
+0.0571615
+0.0552813
+0.0534247
+0.051576
+0.0497368
+0.0479273
+0.0461507
+0.044388
+0.0426496
+0.0409448
+0.0392665
+0.0376332
+0.03603
+0.0344583
+0.032951
+0.0314856
+0.0301085
+0.0288151
+0.0275837
+0.0264766
+0.0254986
+0.0246648
+0.0239232
+0.0233474
+0.0229438
+0.0226847
+0.0225665
+0.0225523
+0.0227203
+0.0230805
+0.0235996
+0.0242294
+0.0250232
+0.025939
+0.0268911
+0.0279709
+0.0291042
+0.0303199
+0.0316349
+0.0330419
+0.0344955
+0.0360228
+0.0375261
+0.039084
+0.0407003
+0.0423681
+0.044079
+0.0458187
+0.0475533
+0.0493219
+0.0511232
+0.052951
+0.0547743
+0.0566233
+0.0584895
+0.0603772
+0.0622768
+0.0641665
+0.0660747
+0.068
+0.0699377
+0.071875
+0.0738261
+0.0757825
+0.0777513
+0.0797318
+0.0817229
+0.0837241
+0.0857345
+0.0877535
+0.0887084
+0.0895005
+0.0903388
+0.0910936
+0.0915869
+0.0921297
+0.0915124
+0.090667
+0.0898671
+0.0891138
+0.0884084
+0.0877521
+0.0871442
+0.086585
+0.086078
+0.0856239
+0.0852098
+0.0831725
+0.0811431
+0.0791224
+0.077111
+0.0751096
+0.073119
+0.071131
+0.0691449
+0.0671716
+0.0652121
+0.0632678
+0.0613401
+0.0594306
+0.0575411
+0.0556729
+0.0538128
+0.0519605
+0.0501355
+0.0483315
+0.0465342
+0.0447568
+0.0430042
+0.0412934
+0.0396299
+0.0379695
+0.0363458
+0.0347797
+0.0332609
+0.0318147
+0.0304245
+0.0291199
+0.027916
+0.026813
+0.0258388
+0.0250181
+0.0242637
+0.0236384
+0.0232039
+0.0228977
+0.0227503
+0.0227088
+0.0228601
+0.0232113
+0.0237064
+0.0243334
+0.0251364
+0.0260476
+0.0270099
+0.0280759
+0.0291706
+0.0303841
+0.0317026
+0.0330944
+0.0345234
+0.0360276
+0.0375618
+0.0391182
+0.0407331
+0.0423997
+0.0440551
+0.0457492
+0.0474839
+0.0492519
+0.0510193
+0.0528184
+0.0546461
+0.0564994
+0.0583695
+0.0602371
+0.0621183
+0.0640191
+0.0659201
+0.0678306
+0.0697576
+0.0716951
+0.0736429
+0.075604
+0.0775774
+0.0795622
+0.0815575
+0.0835626
+0.0855768
+0.0875841
+0.0883671
+0.0891622
+0.0900037
+0.0908849
+0.0913793
+0.0919233
+0.0911969
+0.0903485
+0.0895458
+0.0887898
+0.0880818
+0.087423
+0.0868145
+0.0862574
+0.0857497
+0.0852939
+0.0848922
+0.0835135
+0.0814926
+0.0794808
+0.0774786
+0.075487
+0.0734911
+0.0715035
+0.069528
+0.0675659
+0.0656181
+0.0636862
+0.0617716
+0.0598732
+0.0579911
+0.0561314
+0.05427
+0.0524338
+0.0505951
+0.0487633
+0.0469559
+0.0451823
+0.0434469
+0.0417159
+0.0400078
+0.0383453
+0.0367382
+0.0351833
+0.0336826
+0.0322384
+0.0308647
+0.0295803
+0.0283826
+0.0272888
+0.0263102
+0.0254686
+0.0246864
+0.0240721
+0.023576
+0.0232141
+0.0230047
+0.0229459
+0.0230957
+0.0234157
+0.0239277
+0.0245568
+0.0253239
+0.0262442
+0.0272327
+0.0282217
+0.0293166
+0.0305248
+0.0318375
+0.0331957
+0.0346205
+0.0361201
+0.0376821
+0.0392526
+0.0408328
+0.0424419
+0.0440892
+0.0457786
+0.0474732
+0.049207
+0.0509759
+0.0527765
+0.0546056
+0.0564333
+0.058276
+0.0601387
+0.0620228
+0.0639059
+0.0658019
+0.0677154
+0.0696367
+0.0715735
+0.0735245
+0.0754887
+0.077465
+0.0794526
+0.0814506
+0.0834583
+0.0854414
+0.087329
+0.088079
+0.0888767
+0.0897208
+0.09061
+0.0912229
+0.0917678
+0.0909331
+0.0900822
+0.0892771
+0.0885188
+0.0878086
+0.0871478
+0.0865373
+0.0859784
+0.085472
+0.0850189
+0.0846161
+0.0839103
+0.0818992
+0.0798976
+0.0779029
+0.0759043
+0.0739166
+0.0719407
+0.0699776
+0.0680284
+0.0660944
+0.0641726
+0.0622663
+0.0603793
+0.0585135
+0.0566548
+0.0547927
+0.0529202
+0.0510719
+0.0492517
+0.04745
+0.0456547
+0.0438953
+0.0421748
+0.0404833
+0.0388409
+0.0372493
+0.0357167
+0.0342275
+0.0327828
+0.0314246
+0.0301544
+0.0289807
+0.0278784
+0.0269077
+0.026054
+0.0252786
+0.0245566
+0.0239843
+0.0235965
+0.0233743
+0.0233222
+0.0234696
+0.0238005
+0.0243035
+0.0249155
+0.0256801
+0.0265842
+0.027529
+0.0284875
+0.029546
+0.0307243
+0.0320093
+0.0333736
+0.0347816
+0.0362585
+0.0377657
+0.0393372
+0.0409198
+0.0425305
+0.0441712
+0.0458205
+0.0475136
+0.0492459
+0.0510135
+0.0527965
+0.0545909
+0.0564133
+0.0582567
+0.060101
+0.0619573
+0.0638347
+0.0657315
+0.0676441
+0.0695676
+0.0715064
+0.0734593
+0.0754254
+0.0774034
+0.0793927
+0.0813869
+0.0833587
+0.0853412
+0.087091
+0.087843
+0.0886428
+0.0894891
+0.0903806
+0.0911189
+0.0916645
+0.0907123
+0.0898686
+0.0890614
+0.0883013
+0.0875894
+0.0869269
+0.0863149
+0.0857545
+0.0852467
+0.0847925
+0.0843928
+0.084047
+0.0823621
+0.0803628
+0.0783657
+0.0763792
+0.0744042
+0.0724416
+0.0704925
+0.0685524
+0.0666274
+0.0647193
+0.0628296
+0.060953
+0.0590731
+0.0571945
+0.0553156
+0.0534463
+0.0516016
+0.0497642
+0.0479554
+0.0461798
+0.0444412
+0.0427322
+0.041058
+0.0394335
+0.0378661
+0.0363361
+0.0348577
+0.0334385
+0.0320979
+0.0308416
+0.0296757
+0.0286001
+0.02764
+0.0266673
+0.025843
+0.0251094
+0.0245494
+0.0241394
+0.0239221
+0.0238712
+0.0240152
+0.0243562
+0.0248487
+0.0254476
+0.0261757
+0.0269641
+0.0278876
+0.0288137
+0.0298604
+0.0310267
+0.0322788
+0.0335935
+0.0349902
+0.0364362
+0.0379363
+0.0394676
+0.0410456
+0.0426776
+0.0443172
+0.0459612
+0.0476493
+0.0493769
+0.0511049
+0.052866
+0.0546581
+0.0564599
+0.0582674
+0.0601004
+0.0619566
+0.0638341
+0.0657309
+0.0676394
+0.069563
+0.0715019
+0.073455
+0.0754211
+0.0773993
+0.0793793
+0.0813408
+0.0833137
+0.0849477
+0.0863425
+0.0876521
+0.0884537
+0.0893018
+0.0901951
+0.0910675
+0.0916134
+0.0905292
+0.0896849
+0.0888866
+0.088135
+0.0874245
+0.0867607
+0.0861476
+0.0855861
+0.0850773
+0.0846222
+0.0842217
+0.0838765
+0.0828655
+0.0808709
+0.0788866
+0.0769136
+0.0749517
+0.0729982
+0.0710585
+0.0691339
+0.0672255
+0.0653154
+0.0634135
+0.0615258
+0.0596092
+0.057712
+0.0558363
+0.0539844
+0.0521588
+0.0503417
+0.0485545
+0.0467957
+0.0450716
+0.0433817
+0.0417336
+0.0401272
+0.0385657
+0.0370483
+0.0355994
+0.0342102
+0.0328889
+0.0316475
+0.0305124
+0.0293957
+0.0283261
+0.0273435
+0.0265056
+0.0258068
+0.0252517
+0.0248517
+0.0246407
+0.0245902
+0.0246984
+0.024993
+0.0254523
+0.0260219
+0.0267303
+0.0275027
+0.0283738
+0.0292755
+0.0303062
+0.0314464
+0.0326532
+0.0339249
+0.0352864
+0.0367238
+0.0381906
+0.0397004
+0.0412712
+0.0428964
+0.0445695
+0.0462055
+0.047867
+0.0495495
+0.0512704
+0.0530216
+0.0547673
+0.0565441
+0.058349
+0.0601795
+0.0620334
+0.0639086
+0.0658007
+0.0677056
+0.0696274
+0.0715645
+0.073516
+0.0754805
+0.0774423
+0.0793839
+0.0811274
+0.0824704
+0.0838492
+0.085262
+0.086707
+0.0881829
+0.0891678
+0.0900625
+0.0909951
+0.0916146
+0.0903989
+0.0895533
+0.0887538
+0.0880016
+0.0872979
+0.0866389
+0.0860279
+0.0854686
+0.0849622
+0.0845084
+0.0841073
+0.0837616
+0.0834159
+0.0814347
+0.0794622
+0.0774986
+0.0755474
+0.0736098
+0.0716756
+0.069734
+0.0678075
+0.0658976
+0.0639887
+0.0620712
+0.0601719
+0.0582931
+0.0564367
+0.0546052
+0.0527984
+0.0509964
+0.049225
+0.0474811
+0.0457754
+0.0441125
+0.0424787
+0.0408902
+0.0393591
+0.0378739
+0.0364405
+0.0350714
+0.0337682
+0.0325603
+0.0313105
+0.0301373
+0.0290796
+0.0281232
+0.0273092
+0.0266209
+0.0260584
+0.025671
+0.0254346
+0.0253579
+0.0254572
+0.0256988
+0.0260951
+0.0266341
+0.0273147
+0.0281013
+0.028902
+0.0297985
+0.030812
+0.0319327
+0.0331068
+0.0343702
+0.0357001
+0.037097
+0.038537
+0.0400337
+0.041592
+0.0432052
+0.0448568
+0.046484
+0.0481434
+0.0498166
+0.0514959
+0.0532015
+0.0549416
+0.0567129
+0.0585126
+0.0603381
+0.0621873
+0.0640579
+0.0659416
+0.0678426
+0.0697605
+0.0716941
+0.0736421
+0.075555
+0.0772407
+0.0785989
+0.079994
+0.0813975
+0.0827941
+0.0842246
+0.0856872
+0.0871803
+0.0887024
+0.0899831
+0.0909165
+0.0916683
+0.0903215
+0.0894752
+0.088675
+0.0879221
+0.0872177
+0.0865631
+0.0859573
+0.0853976
+0.0848907
+0.0844377
+0.0840393
+0.0836964
+0.0834076
+0.0820446
+0.0800844
+0.0781194
+0.076153
+0.0741992
+0.072259
+0.0703335
+0.0684157
+0.066499
+0.0645875
+0.0626884
+0.0608084
+0.0589499
+0.0571149
+0.0553058
+0.0535011
+0.0517156
+0.0499623
+0.0482448
+0.046567
+0.0449208
+0.0433111
+0.0417543
+0.0402477
+0.0387882
+0.0373767
+0.0360237
+0.0347232
+0.0333902
+0.0321436
+0.0310012
+0.0299508
+0.0290258
+0.0282341
+0.027562
+0.0270009
+0.0265575
+0.0262897
+0.0262029
+0.0262717
+0.0264814
+0.0268563
+0.027372
+0.0280347
+0.0287694
+0.029562
+0.0304632
+0.0314531
+0.032515
+0.0336757
+0.0349036
+0.0362027
+0.037581
+0.0389914
+0.0404696
+0.04201
+0.043606
+0.0451963
+0.0468118
+0.0484697
+0.0501102
+0.0517721
+0.0534707
+0.0552023
+0.0569655
+0.0587574
+0.0605756
+0.0624177
+0.0642785
+0.0661548
+0.0680498
+0.069962
+0.0718561
+0.0734582
+0.0747568
+0.0760962
+0.0774745
+0.0788895
+0.0803393
+0.0817788
+0.0832268
+0.0847066
+0.0862167
+0.0877555
+0.0893215
+0.0908906
+0.0917742
+0.0902972
+0.0894507
+0.0886502
+0.0878971
+0.0871926
+0.0865377
+0.0859338
+0.0853817
+0.0848758
+0.0844227
+0.0840242
+0.0836813
+0.0833924
+0.0826542
+0.0806794
+0.0787161
+0.076765
+0.0748271
+0.0728901
+0.0709601
+0.0690456
+0.0671468
+0.0652544
+0.0633754
+0.0615164
+0.0596799
+0.0578681
+0.0560583
+0.0542685
+0.0525091
+0.0507832
+0.0490944
+0.0474396
+0.0458136
+0.0442364
+0.0427016
+0.0412193
+0.039789
+0.0383816
+0.0369628
+0.035585
+0.0342918
+0.0330933
+0.0319652
+0.0309455
+0.0300512
+0.0292334
+0.0285241
+0.0279569
+0.0275288
+0.0272559
+0.027138
+0.0271966
+0.0273992
+0.0277486
+0.0282531
+0.028901
+0.0295753
+0.0303563
+0.0312238
+0.0321632
+0.0332097
+0.0343473
+0.0355339
+0.0367855
+0.038115
+0.0395045
+0.0409641
+0.0424866
+0.0440595
+0.0456262
+0.0472379
+0.0488648
+0.0504727
+0.052123
+0.0538119
+0.0555358
+0.0572917
+0.0590766
+0.060888
+0.0627232
+0.0645716
+0.0664395
+0.0683084
+0.0698138
+0.0710447
+0.0723202
+0.0736388
+0.0749982
+0.0763963
+0.0778309
+0.0793001
+0.080799
+0.0822692
+0.0837659
+0.0852927
+0.0868479
+0.08843
+0.0900337
+0.0916596
+0.090326
+0.0894798
+0.0886796
+0.0879268
+0.0872224
+0.0865678
+0.0859641
+0.0854123
+0.0849134
+0.0844645
+0.0840663
+0.0837235
+0.0834348
+0.0832018
+0.0813163
+0.0793687
+0.0774159
+0.0754744
+0.0735469
+0.0716346
+0.0697386
+0.0678521
+0.0659747
+0.0641171
+0.0622812
+0.0604689
+0.0586676
+0.0568756
+0.0551123
+0.0533807
+0.051684
+0.0500234
+0.0483851
+0.046792
+0.0452347
+0.0437163
+0.0422324
+0.0407377
+0.0393083
+0.0379004
+0.0365579
+0.0353004
+0.0341374
+0.0330446
+0.0320203
+0.0310944
+0.0302858
+0.0295942
+0.0290253
+0.0285884
+0.028307
+0.0281935
+0.0282499
+0.0284543
+0.0287803
+0.0292544
+0.0298117
+0.0304836
+0.0311949
+0.0320108
+0.0329278
+0.0339616
+0.0350929
+0.0362274
+0.0374554
+0.038761
+0.0401308
+0.0415684
+0.0430622
+0.0445792
+0.046142
+0.0477232
+0.0493338
+0.0509268
+0.0525629
+0.0542381
+0.0559489
+0.0576922
+0.0594651
+0.061265
+0.0630679
+0.0648836
+0.0663182
+0.0674775
+0.0686852
+0.069936
+0.0712314
+0.0725698
+0.0739489
+0.0753664
+0.0768202
+0.0783084
+0.0798259
+0.0813594
+0.0828725
+0.0844154
+0.0859865
+0.0875841
+0.0892031
+0.0908439
+0.0903912
+0.0895625
+0.0887631
+0.0880109
+0.0873073
+0.0866533
+0.0860502
+0.0854989
+0.0850006
+0.084556
+0.0841653
+0.083823
+0.0835346
+0.0833018
+0.0819845
+0.0800339
+0.0780961
+0.0761719
+0.0742626
+0.0723691
+0.0704883
+0.0686131
+0.066757
+0.0649218
+0.0631094
+0.0613086
+0.0595298
+0.0577645
+0.0560292
+0.0543268
+0.0526605
+0.0510152
+0.0494089
+0.0478232
+0.0462775
+0.0447078
+0.0431876
+0.0417272
+0.0403139
+0.0389388
+0.0376333
+0.036386
+0.035214
+0.0341208
+0.033115
+0.0322207
+0.0314169
+0.0307257
+0.030167
+0.0297395
+0.0294691
+0.0293601
+0.0294045
+0.0295897
+0.0298743
+0.0302827
+0.0308176
+0.0314605
+0.0321324
+0.0329251
+0.0338173
+0.0348202
+0.0358787
+0.0369941
+0.0381999
+0.0394904
+0.0408521
+0.0422688
+0.0437037
+0.045197
+0.0467213
+0.0482835
+0.0498545
+0.051449
+0.053086
+0.0547487
+0.0564441
+0.0581598
+0.0598918
+0.0616531
+0.0629929
+0.0640627
+0.0651885
+0.0663675
+0.067597
+0.0688743
+0.0701941
+0.0715519
+0.0729502
+0.0743868
+0.0758594
+0.077366
+0.0789017
+0.0804635
+0.0820279
+0.0835864
+0.0851728
+0.0867854
+0.088419
+0.0900741
+0.0905056
+0.0896818
+0.0889005
+0.0881495
+0.087447
+0.086794
+0.0861919
+0.0856415
+0.085144
+0.0847002
+0.0843111
+0.0839773
+0.0836895
+0.0834571
+0.0826852
+0.0807515
+0.0788313
+0.0769256
+0.0750354
+0.0731608
+0.0712885
+0.0694349
+0.0676014
+0.0657898
+0.0639906
+0.0622127
+0.060459
+0.0587216
+0.0570154
+0.0553434
+0.0536952
+0.0520577
+0.050461
+0.0488467
+0.0472566
+0.0457163
+0.0442308
+0.0427943
+0.0413698
+0.0400131
+0.0387327
+0.0375137
+0.0363578
+0.0352813
+0.0343037
+0.0334148
+0.032619
+0.0319539
+0.0314131
+0.0310028
+0.0307435
+0.0306157
+0.0306373
+0.0307733
+0.0310372
+0.0314202
+0.0318718
+0.0324652
+0.0331767
+0.0339514
+0.0347908
+0.0357189
+0.0367496
+0.0378588
+0.0390459
+0.0403033
+0.0416336
+0.0430004
+0.0444158
+0.0458674
+0.047376
+0.0489123
+0.0504495
+0.0520258
+0.0536452
+0.0553027
+0.0569531
+0.058639
+0.0598818
+0.0608509
+0.0618801
+0.0629687
+0.0641138
+0.0653122
+0.0665612
+0.067858
+0.0691998
+0.0705841
+0.0720019
+0.073457
+0.0749479
+0.0764725
+0.078028
+0.079607
+0.0812144
+0.0828071
+0.0844081
+0.086035
+0.0876826
+0.0893513
+0.0906728
+0.0898505
+0.0890745
+0.0883422
+0.0876412
+0.0869897
+0.0863889
+0.0858398
+0.0853435
+0.0849007
+0.0845125
+0.0841795
+0.0838978
+0.0836661
+0.0834375
+0.0815217
+0.07962
+0.0777336
+0.0758636
+0.0739969
+0.0721463
+0.0703153
+0.0685054
+0.0667087
+0.0649313
+0.0631798
+0.0614523
+0.0597438
+0.0580677
+0.0563904
+0.0547454
+0.0531037
+0.0514588
+0.049856
+0.0482993
+0.0467935
+0.0453255
+0.0438726
+0.0424829
+0.0411629
+0.0398992
+0.0387136
+0.0375784
+0.0365204
+0.0355435
+0.0346583
+0.0338918
+0.0332521
+0.032729
+0.0323354
+0.0320687
+0.0319395
+0.0319264
+0.0319952
+0.0321991
+0.0325325
+0.0329689
+0.033537
+0.0342148
+0.0350168
+0.0358143
+0.0367165
+0.0377152
+0.0387988
+0.0399715
+0.0411988
+0.0424794
+0.0438187
+0.0452023
+0.0466297
+0.0481041
+0.0496002
+0.0511315
+0.0526874
+0.0542871
+0.0558923
+0.0570105
+0.0578665
+0.0587917
+0.0597785
+0.0608258
+0.061933
+0.0630969
+0.0643142
+0.0655823
+0.066898
+0.0682587
+0.0696617
+0.0710979
+0.0725712
+0.0740799
+0.075622
+0.0771954
+0.0787984
+0.0804256
+0.0820754
+0.0836937
+0.0853343
+0.0869952
+0.0886768
+0.0908796
+0.0900695
+0.0892982
+0.0885715
+0.0878853
+0.0872357
+0.0866366
+0.0860891
+0.0855942
+0.0851528
+0.0847657
+0.0844337
+0.0841574
+0.0839317
+0.0837573
+0.0823429
+0.0804607
+0.0785945
+0.0767348
+0.0748878
+0.0730598
+0.0712522
+0.0694586
+0.0676825
+0.0659313
+0.0642071
+0.0625066
+0.060809
+0.0591246
+0.0574559
+0.0557674
+0.0541149
+0.0525017
+0.0509317
+0.0494089
+0.0479223
+0.0464472
+0.0450305
+0.0436777
+0.0423767
+0.0411443
+0.0399465
+0.0388191
+0.0377852
+0.0368456
+0.0359924
+0.0352548
+0.0346402
+0.0341281
+0.0337364
+0.0334658
+0.0332584
+0.033178
+0.0332305
+0.0334269
+0.0337492
+0.0341687
+0.0346986
+0.0353541
+0.0360872
+0.0368929
+0.0377701
+0.0387478
+0.0398032
+0.0409262
+0.0421331
+0.0434086
+0.0447203
+0.0460665
+0.0474679
+0.0488971
+0.0503683
+0.0518822
+0.0534074
+0.0543636
+0.0551033
+0.0559176
+0.0568048
+0.0577515
+0.0587602
+0.0598319
+0.0609584
+0.0621405
+0.0633763
+0.0646627
+0.0659968
+0.0673757
+0.0687967
+0.0702506
+0.0717412
+0.0732671
+0.0748259
+0.0764158
+0.0780347
+0.079681
+0.0813523
+0.0830311
+0.0846845
+0.0863579
+0.0880517
+0.0911311
+0.0903232
+0.0895617
+0.0888397
+0.0881532
+0.0875161
+0.0869218
+0.0863761
+0.0858828
+0.0854429
+0.0850571
+0.0847262
+0.0844509
+0.0842317
+0.084069
+0.0832137
+0.0813517
+0.0794992
+0.0776561
+0.0758315
+0.0740261
+0.0722292
+0.0704546
+0.068704
+0.0669779
+0.0652793
+0.0635797
+0.0618731
+0.0601591
+0.058474
+0.0568157
+0.0551945
+0.0536138
+0.0520774
+0.0505536
+0.0490596
+0.0476196
+0.0462385
+0.0449218
+0.0436188
+0.0423813
+0.0412192
+0.0401277
+0.0391284
+0.0382273
+0.0374072
+0.0366969
+0.0360953
+0.035561
+0.0351292
+0.0347943
+0.0345951
+0.0345102
+0.0345607
+0.0347496
+0.035035
+0.0354144
+0.0359236
+0.0365229
+0.0372265
+0.0380236
+0.0389029
+0.0398323
+0.0408562
+0.0419508
+0.0431273
+0.0443532
+0.0456313
+0.0469597
+0.0483244
+0.0497117
+0.0511461
+0.0520422
+0.0526326
+0.0533066
+0.0540601
+0.0548899
+0.0557934
+0.0567672
+0.0577991
+0.0588886
+0.0600383
+0.0612448
+0.0625011
+0.0638052
+0.0651568
+0.0665531
+0.0679913
+0.0694621
+0.0709693
+0.0725114
+0.0740861
+0.0756915
+0.0773256
+0.0789867
+0.0806724
+0.082379
+0.0840868
+0.0857718
+0.087477
+0.0914344
+0.0906292
+0.0898703
+0.0891509
+0.0884668
+0.0878321
+0.0872477
+0.0867147
+0.0862261
+0.085788
+0.0854037
+0.0850742
+0.0848
+0.0845817
+0.0844197
+0.0841326
+0.0822873
+0.0804485
+0.0786247
+0.0768089
+0.0750131
+0.0732388
+0.0714876
+0.0697612
+0.0680616
+0.0663563
+0.0646128
+0.0628972
+0.0612119
+0.0595552
+0.0579278
+0.0563387
+0.0547759
+0.0532201
+0.0517104
+0.0502508
+0.0488459
+0.0475005
+0.0461674
+0.0448947
+0.0436933
+0.0425668
+0.0415106
+0.0405442
+0.0396496
+0.0388492
+0.0381178
+0.0374759
+0.036953
+0.0365227
+0.0362006
+0.0360092
+0.0359267
+0.0359752
+0.0361151
+0.0363656
+0.0367255
+0.0371918
+0.0377679
+0.0384311
+0.039198
+0.0400551
+0.0409974
+0.0419947
+0.0430438
+0.0441717
+0.0453759
+0.0466121
+0.0478848
+0.0491968
+0.0500936
+0.0505171
+0.0510312
+0.0516331
+0.05232
+0.0530868
+0.0539316
+0.0548509
+0.0558411
+0.0568984
+0.0580096
+0.0591764
+0.0604001
+0.0616774
+0.063005
+0.0643797
+0.0657932
+0.0672477
+0.0687344
+0.0702572
+0.0718145
+0.0734042
+0.0750242
+0.0766726
+0.0783475
+0.0800467
+0.0817664
+0.0835081
+0.085238
+0.0869536
+0.091789
+0.090987
+0.090231
+0.0895147
+0.0888334
+0.0882013
+0.0876193
+0.0870887
+0.0866102
+0.0861847
+0.0858049
+0.085477
+0.0852041
+0.0849868
+0.0848256
+0.0847207
+0.083253
+0.0814225
+0.0796102
+0.0778174
+0.0760454
+0.0742958
+0.0725701
+0.0708701
+0.0691267
+0.0673836
+0.0656673
+0.06398
+0.062324
+0.0606962
+0.0590911
+0.0574943
+0.0559282
+0.0544051
+0.052929
+0.0515037
+0.0501271
+0.0487641
+0.0474632
+0.046227
+0.0450612
+0.0439735
+0.0429417
+0.0419839
+0.0410766
+0.0402658
+0.0395388
+0.0389204
+0.0384127
+0.0379914
+0.0376819
+0.0374979
+0.0374097
+0.0374163
+0.0375167
+0.0377378
+0.0380658
+0.0385159
+0.0390749
+0.0397145
+0.040457
+0.0412856
+0.0421653
+0.0431357
+0.0441935
+0.0452979
+0.0464246
+0.0476068
+0.048542
+0.0488015
+0.0491402
+0.0495718
+0.0500956
+0.0507087
+0.0514074
+0.0521874
+0.0530466
+0.0539809
+0.0549868
+0.0560602
+0.0571975
+0.0583838
+0.0596238
+0.0609173
+0.0622611
+0.0636519
+0.0650868
+0.0665608
+0.0680631
+0.0696018
+0.0711748
+0.0727797
+0.0744145
+0.0760769
+0.0777647
+0.0794764
+0.0812082
+0.0829616
+0.0847354
+0.0864826
+0.0921943
+0.0913958
+0.0906433
+0.0899304
+0.0892523
+0.0886231
+0.088044
+0.0875159
+0.0870397
+0.0866164
+0.0862466
+0.0859311
+0.0856622
+0.0854461
+0.0852858
+0.0851815
+0.0842413
+0.0824327
+0.0806432
+0.0788738
+0.0771261
+0.0754016
+0.0736897
+0.0719237
+0.0701817
+0.0684655
+0.066777
+0.0651184
+0.0634824
+0.061846
+0.0602383
+0.0586636
+0.0571295
+0.0556394
+0.0541969
+0.052789
+0.05141
+0.050082
+0.0488162
+0.0476151
+0.0464759
+0.0453814
+0.0443498
+0.0433914
+0.0425129
+0.04172
+0.0410176
+0.0404205
+0.0399138
+0.0395214
+0.0392206
+0.0390198
+0.0388831
+0.0388565
+0.0389532
+0.0391661
+0.0394735
+0.0398817
+0.0403594
+0.0409489
+0.0416454
+0.0424437
+0.04332
+0.0442651
+0.0452965
+0.0463139
+0.0474053
+0.0474733
+0.047638
+0.0479024
+0.0482615
+0.0487009
+0.0492339
+0.0498576
+0.0505686
+0.0513632
+0.0522375
+0.0531869
+0.0542076
+0.0552962
+0.0564488
+0.0576617
+0.0589187
+0.0602274
+0.0615863
+0.062992
+0.0644415
+0.0659316
+0.0674489
+0.0690014
+0.0705877
+0.0722057
+0.0738532
+0.0755283
+0.0772284
+0.0789523
+0.0806989
+0.0824667
+0.0842539
+0.086054
+0.0926414
+0.0918468
+0.091098
+0.0903961
+0.0897227
+0.0890968
+0.0885208
+0.0879956
+0.087522
+0.087101
+0.0867333
+0.0864196
+0.0861604
+0.0859564
+0.0857994
+0.0856958
+0.0852745
+0.0834883
+0.0817218
+0.0799764
+0.0782533
+0.0765081
+0.0747445
+0.0730041
+0.0712885
+0.0695995
+0.0679389
+0.066272
+0.0646317
+0.0630152
+0.0614335
+0.0598903
+0.0583884
+0.0569267
+0.0554838
+0.0540912
+0.0527528
+0.0514594
+0.0502178
+0.0490111
+0.0478743
+0.046796
+0.0457895
+0.044851
+0.0440016
+0.0432328
+0.0425553
+0.041965
+0.0414764
+0.0410837
+0.040752
+0.040534
+0.0403898
+0.0403633
+0.040429
+0.0405945
+0.0408444
+0.0411947
+0.0416574
+0.0422288
+0.0429045
+0.0436609
+0.0444932
+0.0454138
+0.0464045
+0.0466245
+0.0465866
+0.0466516
+0.0468192
+0.0470788
+0.0474376
+0.047894
+0.0484421
+0.0490759
+0.049798
+0.0506047
+0.0514921
+0.052456
+0.0534923
+0.0545968
+0.0557656
+0.0569946
+0.0582801
+0.0596101
+0.0609827
+0.062402
+0.0638649
+0.0653685
+0.0669008
+0.0684657
+0.0700642
+0.071694
+0.073353
+0.0750392
+0.0767502
+0.0784846
+0.0802414
+0.0820191
+0.0838163
+0.0853589
+0.0931329
+0.0923426
+0.0915978
+0.0908998
+0.0902438
+0.0896216
+0.089049
+0.0885269
+0.0880562
+0.0876377
+0.0872723
+0.0869605
+0.086703
+0.0865002
+0.0863525
+0.0862529
+0.0862055
+0.0845874
+0.0828444
+0.0811231
+0.0793473
+0.0775865
+0.075848
+0.0741334
+0.0724446
+0.0707603
+0.0690879
+0.0674418
+0.0658207
+0.0642335
+0.0626826
+0.0611674
+0.0596662
+0.0582088
+0.0567985
+0.0554389
+0.0541338
+0.0528384
+0.0516
+0.0504264
+0.0493155
+0.0482662
+0.0472766
+0.0463682
+0.0455444
+0.0447948
+0.0441386
+0.0435642
+0.0430472
+0.0426183
+0.0422986
+0.0420522
+0.0418831
+0.0418141
+0.0418542
+0.0419921
+0.042241
+0.04258
+0.0430278
+0.0435635
+0.0441878
+0.0449082
+0.0457184
+0.046266
+0.0460197
+0.0458769
+0.0458383
+0.0459045
+0.0460706
+0.0463337
+0.0466982
+0.0471618
+0.0477215
+0.048374
+0.0491131
+0.0499309
+0.05083
+0.0518062
+0.0528552
+0.0539728
+0.0551548
+0.0563972
+0.057696
+0.0590443
+0.0604363
+0.0618745
+0.0633558
+0.0648728
+0.0664204
+0.0679965
+0.0696057
+0.071246
+0.0729152
+0.0746114
+0.0763319
+0.0780756
+0.0798414
+0.0816278
+0.0832067
+0.0847095
+0.0936731
+0.0928873
+0.092147
+0.0914531
+0.0908046
+0.0901931
+0.0896241
+0.0891053
+0.0886377
+0.088222
+0.087859
+0.0875493
+0.0872935
+0.0870921
+0.0869455
+0.0868538
+0.0868136
+0.0857284
+0.0839837
+0.0822053
+0.0804473
+0.078711
+0.0769979
+0.0752966
+0.0735944
+0.0719185
+0.070271
+0.0686514
+0.0670596
+0.0654919
+0.0639504
+0.0624392
+0.0609694
+0.0595439
+0.0581659
+0.0568187
+0.0555018
+0.0542371
+0.0530315
+0.0518903
+0.0508077
+0.0497769
+0.0488167
+0.0479374
+0.0471316
+0.0464077
+0.0457192
+0.0451158
+0.0445996
+0.0441601
+0.043801
+0.0435309
+0.0433539
+0.0432848
+0.0433078
+0.0434404
+0.0436619
+0.0439819
+0.0443965
+0.0449143
+0.0455248
+0.0462165
+0.045966
+0.0456137
+0.0453639
+0.0452189
+0.0451799
+0.0452469
+0.0454148
+0.0456816
+0.0460513
+0.0465213
+0.0470886
+0.0477497
+0.0485009
+0.049338
+0.0502548
+0.0512419
+0.0523023
+0.0534315
+0.0546252
+0.0558793
+0.0571899
+0.0585498
+0.0599533
+0.0614028
+0.0628953
+0.0644277
+0.0659972
+0.0675922
+0.0692136
+0.0708629
+0.0725409
+0.0742457
+0.0759745
+0.0777263
+0.0794998
+0.0811156
+0.0825985
+0.0841108
+0.0942611
+0.0934803
+0.0927447
+0.0920553
+0.0914042
+0.0908001
+0.0902418
+0.0897266
+0.0892623
+0.0888495
+0.0884891
+0.0881816
+0.0879277
+0.0877277
+0.0875821
+0.0874911
+0.0874549
+0.0868548
+0.0850801
+0.0833252
+0.0815913
+0.0798719
+0.0781464
+0.0764448
+0.0747687
+0.073118
+0.0714899
+0.0698808
+0.068304
+0.0667611
+0.0652415
+0.063761
+0.0623223
+0.0609268
+0.059542
+0.0582043
+0.0569194
+0.055687
+0.0545134
+0.0533962
+0.0523373
+0.0513354
+0.050405
+0.0495428
+0.0487037
+0.0479439
+0.0472729
+0.0466618
+0.0461144
+0.0456657
+0.0453171
+0.0450407
+0.0448697
+0.0447988
+0.0448
+0.0449081
+0.0451225
+0.045426
+0.0458276
+0.0463293
+0.0464229
+0.0458691
+0.0454144
+0.0450586
+0.0448057
+0.0446589
+0.0446193
+0.0446872
+0.0448564
+0.0451265
+0.0455007
+0.0459763
+0.0465503
+0.047219
+0.0479785
+0.0488245
+0.0497527
+0.0507585
+0.0518296
+0.0529688
+0.0541727
+0.0554371
+0.0567579
+0.0581312
+0.059547
+0.0610062
+0.0625081
+0.0640498
+0.0656284
+0.0672413
+0.0688815
+0.0705456
+0.0722312
+0.0739431
+0.0756788
+0.0774373
+0.0790899
+0.0805479
+0.0820385
+0.08356
+0.0948961
+0.0941205
+0.09339
+0.0926996
+0.092052
+0.0914523
+0.0909014
+0.0903968
+0.0899359
+0.0895262
+0.0891685
+0.0888634
+0.0886114
+0.088413
+0.0882685
+0.0881782
+0.0881423
+0.08797
+0.0862183
+0.0844679
+0.0827222
+0.080998
+0.079297
+0.077616
+0.0759593
+0.0743303
+0.0727211
+0.0711398
+0.0695915
+0.0680695
+0.0665798
+0.0651297
+0.0637018
+0.0623003
+0.0609444
+0.0596381
+0.0583847
+0.0571825
+0.0560342
+0.0549388
+0.0539103
+0.0529192
+0.0519657
+0.0510805
+0.050253
+0.0495031
+0.0488073
+0.0481888
+0.047659
+0.0472249
+0.0468682
+0.046601
+0.0464206
+0.0463212
+0.0463223
+0.0464269
+0.0466298
+0.0469189
+0.047287
+0.0466367
+0.0459812
+0.0454221
+0.0449628
+0.0446042
+0.0443487
+0.0442004
+0.0441604
+0.0442291
+0.0443992
+0.0446721
+0.04505
+0.0455304
+0.0461099
+0.0467849
+0.0475513
+0.0484048
+0.0493409
+0.050355
+0.0514344
+0.0525822
+0.0537948
+0.0550678
+0.0563972
+0.0577792
+0.0592099
+0.060686
+0.0621958
+0.063745
+0.0653309
+0.066951
+0.0686028
+0.0702838
+0.0719838
+0.0737044
+0.0754457
+0.0771318
+0.078565
+0.0800326
+0.0815326
+0.0830633
+0.095577
+0.0948071
+0.0940793
+0.0933899
+0.0927471
+0.0921519
+0.0916052
+0.0911079
+0.0906574
+0.090251
+0.0898962
+0.0895936
+0.0893436
+0.0891468
+0.0890036
+0.088914
+0.0888784
+0.0888968
+0.087327
+0.0855835
+0.083861
+0.0821598
+0.0804774
+0.07882
+0.0771891
+0.0755816
+0.0739966
+0.0724432
+0.07092
+0.0694223
+0.0679522
+0.0665044
+0.0650893
+0.0637174
+0.0623922
+0.0611169
+0.0598902
+0.0587172
+0.0575895
+0.0564892
+0.0554409
+0.0544438
+0.0535104
+0.0526267
+0.051816
+0.0510492
+0.0503661
+0.0497655
+0.0492526
+0.0488236
+0.04845
+0.0481723
+0.0479909
+0.0478919
+0.047893
+0.0479852
+0.0481649
+0.0478955
+0.0470539
+0.0463009
+0.0456406
+0.0450772
+0.0446144
+0.0442538
+0.0439962
+0.0438468
+0.0438065
+0.0438756
+0.0440463
+0.0443214
+0.0447023
+0.0451863
+0.0457702
+0.0464501
+0.047222
+0.0480814
+0.0490236
+0.0500441
+0.0511301
+0.0522846
+0.0535039
+0.0547837
+0.0561199
+0.0575085
+0.0589458
+0.0604283
+0.0619529
+0.0635144
+0.0651059
+0.0667314
+0.0683885
+0.0700749
+0.0717885
+0.0735229
+0.0752502
+0.0766561
+0.0780981
+0.0795742
+0.0810827
+0.0826218
+0.096303
+0.0955389
+0.0948101
+0.0941261
+0.0934883
+0.0928978
+0.0923556
+0.0918624
+0.091419
+0.0910228
+0.090671
+0.090371
+0.0901232
+0.0899281
+0.0897861
+0.0896973
+0.089662
+0.0896803
+0.0884608
+0.0867401
+0.0850376
+0.0833557
+0.0816979
+0.0800657
+0.0784592
+0.0768721
+0.0753143
+0.0737886
+0.0722847
+0.07079
+0.0693322
+0.067905
+0.066519
+0.0651772
+0.0638824
+0.062634
+0.0613973
+0.060209
+0.059078
+0.0580021
+0.0569738
+0.0560011
+0.0550724
+0.0541992
+0.0533768
+0.0526327
+0.0519638
+0.0513674
+0.0508584
+0.0504142
+0.0500516
+0.0497731
+0.0495809
+0.0494851
+0.0494857
+0.0495506
+0.048599
+0.0476693
+0.0468237
+0.0460669
+0.0454032
+0.0448369
+0.0443716
+0.0440097
+0.0437507
+0.0436004
+0.0435599
+0.0436295
+0.0438003
+0.0440769
+0.0444599
+0.0449466
+0.0455335
+0.0462169
+0.0469926
+0.0478561
+0.0488027
+0.0498277
+0.0509183
+0.0520775
+0.0533015
+0.0545861
+0.055927
+0.0573202
+0.0587622
+0.0602493
+0.0617783
+0.0633461
+0.06495
+0.0665833
+0.0682439
+0.0699338
+0.0716508
+0.073393
+0.0748267
+0.0762404
+0.0776901
+0.0791738
+0.0806898
+0.0822362
+0.0970706
+0.0963092
+0.0955856
+0.0949071
+0.0942746
+0.0936891
+0.0931515
+0.0926625
+0.092223
+0.0918337
+0.0914917
+0.0911944
+0.0909488
+0.0907555
+0.0906148
+0.0905268
+0.0904919
+0.0905099
+0.0896335
+0.0879304
+0.0862493
+0.0845914
+0.0829583
+0.0813495
+0.0797643
+0.0782027
+0.0766719
+0.0751504
+0.0736487
+0.0721822
+0.0707444
+0.0693459
+0.0679859
+0.0666411
+0.0653421
+0.0640831
+0.0628692
+0.0617093
+0.0606064
+0.0595499
+0.0585388
+0.057581
+0.0566517
+0.0557794
+0.0549753
+0.0542352
+0.0535746
+0.0529963
+0.0524703
+0.05203
+0.0516723
+0.0513939
+0.0512078
+0.0511148
+0.0505502
+0.049478
+0.0484753
+0.0475432
+0.0466953
+0.0459363
+0.0452707
+0.0447027
+0.044236
+0.0438738
+0.043614
+0.0434632
+0.0434226
+0.0434924
+0.0436629
+0.0439404
+0.0443246
+0.0448127
+0.0454014
+0.0460868
+0.0468646
+0.0477304
+0.0486795
+0.049707
+0.0508002
+0.051962
+0.0531887
+0.0544759
+0.0558195
+0.0572154
+0.0586599
+0.0601495
+0.0616809
+0.0632512
+0.0648575
+0.0664971
+0.0681677
+0.0698611
+0.0715799
+0.073083
+0.0744653
+0.0758857
+0.077342
+0.0788323
+0.0803548
+0.0819075
+0.0978772
+0.0971221
+0.0964046
+0.0957319
+0.0951049
+0.0945246
+0.0939917
+0.0935071
+0.0930716
+0.0926858
+0.0923504
+0.0920626
+0.0918193
+0.0916279
+0.0914885
+0.0914014
+0.0913667
+0.0913846
+0.0908367
+0.0891566
+0.087499
+0.0858651
+0.0842544
+0.0826703
+0.0811067
+0.0795586
+0.0780262
+0.0765227
+0.0750483
+0.0735954
+0.0721557
+0.0707546
+0.0693943
+0.0680774
+0.0667996
+0.065568
+0.0643821
+0.0632499
+0.0621547
+0.0611081
+0.0601187
+0.0591373
+0.05822
+0.0573717
+0.0565852
+0.0558648
+0.0552068
+0.054613
+0.0541015
+0.0536746
+0.0533227
+0.0530529
+0.0528585
+0.0516697
+0.0505263
+0.0494535
+0.0484504
+0.0475178
+0.0466694
+0.04591
+0.045244
+0.0446754
+0.0442081
+0.0438452
+0.0435871
+0.0434362
+0.0433955
+0.0434653
+0.0436353
+0.043913
+0.0442974
+0.0447858
+0.0453748
+0.0460606
+0.0468388
+0.0477051
+0.0486547
+0.0496827
+0.0507764
+0.0519388
+0.053166
+0.0544538
+0.0557978
+0.0571943
+0.0586393
+0.0601294
+0.0616614
+0.0632321
+0.0648388
+0.0664789
+0.06815
+0.0698498
+0.0714296
+0.0727788
+0.0741668
+0.0755928
+0.0770547
+0.0785505
+0.0800783
+0.0816362
+0.0987258
+0.0979772
+0.0972661
+0.0965994
+0.0959781
+0.095403
+0.0948751
+0.094395
+0.0939636
+0.0935816
+0.0932494
+0.0929676
+0.0927334
+0.0925439
+0.0924058
+0.0923196
+0.0922853
+0.092303
+0.0920763
+0.0904192
+0.0887844
+0.0871726
+0.0855865
+0.0840027
+0.0824365
+0.0808993
+0.0793889
+0.0778963
+0.0764121
+0.0749625
+0.0735496
+0.0721755
+0.0708425
+0.0695475
+0.0682957
+0.0670915
+0.0659331
+0.0648029
+0.0637245
+0.0626907
+0.0616717
+0.0607133
+0.0598197
+0.0589797
+0.0582018
+0.0574881
+0.056844
+0.0562675
+0.0557712
+0.0553569
+0.0550108
+0.0542167
+0.0529471
+0.0517392
+0.0505974
+0.0495211
+0.0485095
+0.0475773
+0.0467293
+0.0459701
+0.0453043
+0.0447359
+0.0442687
+0.043906
+0.043649
+0.0434983
+0.0434577
+0.0435274
+0.0437014
+0.0439827
+0.0443705
+0.044862
+0.0454534
+0.0461385
+0.0469155
+0.0477803
+0.0487284
+0.049755
+0.0508471
+0.0520079
+0.0532335
+0.0545197
+0.0558622
+0.057257
+0.0587005
+0.0601891
+0.0617196
+0.0632889
+0.0648942
+0.0665329
+0.0682027
+0.0698446
+0.0711679
+0.0725327
+0.0739258
+0.0753563
+0.0768227
+0.0783229
+0.0798551
+0.0814173
+0.0996154
+0.0988735
+0.0981689
+0.0975084
+0.0968929
+0.0963233
+0.0958004
+0.095325
+0.0948979
+0.0945195
+0.0941907
+0.0939118
+0.0936833
+0.093502
+0.0933654
+0.0932801
+0.0932461
+0.0932636
+0.0925296
+0.0909011
+0.0892968
+0.0877178
+0.0861655
+0.0846415
+0.0831473
+0.0816845
+0.0802549
+0.0788602
+0.0775015
+0.0761795
+0.0748982
+0.0736342
+0.0723236
+0.0710532
+0.0698285
+0.0686484
+0.0674893
+0.0663823
+0.0652969
+0.0642432
+0.0632478
+0.0623136
+0.0614289
+0.060607
+0.0598418
+0.0591479
+0.0585173
+0.0579575
+0.0574758
+0.057046
+0.0556923
+0.0543689
+0.053103
+0.0518987
+0.0507546
+0.0496716
+0.0486631
+0.0477339
+0.0468887
+0.0461322
+0.0454687
+0.0449024
+0.044437
+0.0440756
+0.0438189
+0.0436688
+0.0436284
+0.0436978
+0.0438718
+0.044152
+0.0445383
+0.045028
+0.0456178
+0.0463038
+0.0470819
+0.0479474
+0.0488959
+0.0499224
+0.0510119
+0.052169
+0.0533909
+0.0546734
+0.0560122
+0.0574034
+0.0588433
+0.0603283
+0.0618554
+0.0634213
+0.0650234
+0.0666589
+0.0683256
+0.0696459
+0.070973
+0.0723412
+0.0737377
+0.0751718
+0.0766418
+0.0781455
+0.079681
+0.0812463
+0.100545
+0.0998081
+0.0991101
+0.0984559
+0.0978464
+0.0972824
+0.0967647
+0.0962941
+0.0958712
+0.0954968
+0.0951713
+0.0948952
+0.0946691
+0.0944916
+0.0943564
+0.094272
+0.0942384
+0.0942557
+0.0926219
+0.0909951
+0.0893925
+0.0878152
+0.0862647
+0.0847425
+0.0832501
+0.0817891
+0.0803613
+0.0789685
+0.0776117
+0.0762916
+0.0750123
+0.0737758
+0.0725844
+0.0714403
+0.0703459
+0.0693034
+0.0683153
+0.067384
+0.0665118
+0.0657011
+0.0648566
+0.0639345
+0.0630719
+0.0622608
+0.0615162
+0.0608414
+0.0602239
+0.0596544
+0.0587047
+0.0572835
+0.055912
+0.054594
+0.0533334
+0.0521345
+0.0509956
+0.0499178
+0.0489144
+0.0479901
+0.0471495
+0.0463972
+0.0457375
+0.0451746
+0.044712
+0.0443529
+0.0440972
+0.043948
+0.0439078
+0.0439768
+0.0441504
+0.0444288
+0.0448128
+0.0452995
+0.0458858
+0.0465679
+0.0473416
+0.0482025
+0.049146
+0.0501676
+0.0512624
+0.0524212
+0.0536374
+0.0549141
+0.0562472
+0.0576327
+0.059067
+0.0605466
+0.0620683
+0.063629
+0.0652259
+0.0668565
+0.0682307
+0.0695025
+0.0708192
+0.0721784
+0.0735777
+0.0750149
+0.0764878
+0.0779945
+0.0795329
+0.0811014
+0.101513
+0.100781
+0.10009
+0.0994422
+0.0988387
+0.0982804
+0.097768
+0.0973023
+0.0968838
+0.0965133
+0.0961912
+0.0959181
+0.0956944
+0.0955204
+0.0953875
+0.0953039
+0.0952707
+0.094413
+0.0927659
+0.0911417
+0.0895417
+0.0879671
+0.0864193
+0.0848998
+0.0834103
+0.0819522
+0.0805273
+0.0791374
+0.0777835
+0.0764664
+0.07519
+0.0739565
+0.0727681
+0.071627
+0.0705354
+0.0694958
+0.0685105
+0.0675818
+0.0667122
+0.065904
+0.0651594
+0.0644774
+0.0638568
+0.0633047
+0.0628242
+0.0624169
+0.0619072
+0.060455
+0.0589946
+0.0575805
+0.0562163
+0.0549056
+0.0536523
+0.0524607
+0.0513291
+0.0502584
+0.0492619
+0.0483442
+0.0475099
+0.0467634
+0.046109
+0.0455507
+0.045092
+0.0447359
+0.0444817
+0.0443338
+0.0442939
+0.0443624
+0.0445351
+0.0448112
+0.0451919
+0.0456746
+0.0462561
+0.0469328
+0.0477006
+0.0485551
+0.049492
+0.0505065
+0.0515941
+0.0527504
+0.0539708
+0.0552407
+0.0565661
+0.057944
+0.0593708
+0.060843
+0.0623574
+0.0639111
+0.0655011
+0.0669009
+0.068127
+0.0694007
+0.0707193
+0.0720803
+0.0734815
+0.0749205
+0.0763953
+0.0779037
+0.079444
+0.0810141
+0.102519
+0.101792
+0.101108
+0.100467
+0.0998693
+0.0993168
+0.0988097
+0.0983489
+0.0979349
+0.0975684
+0.0972498
+0.0969797
+0.0967585
+0.0965864
+0.0964573
+0.0963747
+0.0962705
+0.0946051
+0.0929614
+0.0913406
+0.0897441
+0.0881731
+0.086629
+0.0851133
+0.0836276
+0.0821733
+0.0807523
+0.0793664
+0.0780165
+0.0767034
+0.075431
+0.0742015
+0.0730171
+0.0718799
+0.0707922
+0.0697564
+0.0687749
+0.0678498
+0.0669808
+0.066171
+0.0654247
+0.0647439
+0.0641307
+0.0635871
+0.0631124
+0.062707
+0.0623103
+0.0608155
+0.059364
+0.0579589
+0.0566038
+0.0553023
+0.0540582
+0.0528757
+0.0517532
+0.0506915
+0.0497037
+0.0487943
+0.0479678
+0.0472286
+0.0465807
+0.0460281
+0.0455742
+0.0452217
+0.0449697
+0.0448235
+0.0447841
+0.0448517
+0.0450232
+0.0452963
+0.045673
+0.0461507
+0.0467263
+0.0473963
+0.0481566
+0.0490032
+0.0499317
+0.0509374
+0.0520161
+0.0531632
+0.0543743
+0.0556354
+0.0569516
+0.0583204
+0.0597382
+0.0612015
+0.0627073
+0.0642525
+0.0656903
+0.0668669
+0.0680936
+0.0693679
+0.0706871
+0.0720488
+0.0734506
+0.0748902
+0.0763655
+0.0778745
+0.0794153
+0.0809861
+0.10348
+0.10284
+0.102162
+0.101528
+0.100937
+0.10039
+0.0998886
+0.0994328
+0.0990234
+0.0986609
+0.0983458
+0.0980788
+0.09786
+0.0976899
+0.0975645
+0.0974829
+0.0965086
+0.0948473
+0.0932079
+0.0915915
+0.0899994
+0.088433
+0.0868935
+0.0853825
+0.0839015
+0.0824521
+0.081036
+0.079655
+0.0783101
+0.077002
+0.0757346
+0.0745101
+0.0733307
+0.0721984
+0.0711157
+0.0700821
+0.0691006
+0.0681753
+0.0673087
+0.066503
+0.0657604
+0.0650831
+0.0644731
+0.0639325
+0.0634627
+0.0630595
+0.0627303
+0.0612523
+0.0598114
+0.0584171
+0.0570728
+0.0557823
+0.0545491
+0.0533775
+0.0522657
+0.0512147
+0.0502372
+0.0493376
+0.0485204
+0.0477897
+0.0471495
+0.0466036
+0.0461554
+0.0458068
+0.045558
+0.0454136
+0.0453747
+0.0454415
+0.0456115
+0.0458811
+0.046253
+0.0467247
+0.0472934
+0.0479554
+0.0487071
+0.0495443
+0.0504627
+0.0514581
+0.0525261
+0.0536623
+0.0548624
+0.0561125
+0.0574178
+0.0587757
+0.0601828
+0.0616356
+0.063131
+0.0646057
+0.0657287
+0.0669046
+0.0681307
+0.0694043
+0.0707228
+0.0720838
+0.0734849
+0.0749239
+0.0763986
+0.077907
+0.0794471
+0.0810173
+0.104265
+0.103923
+0.103253
+0.102625
+0.10204
+0.1015
+0.101004
+0.100553
+0.100148
+0.0997895
+0.099478
+0.099214
+0.0989977
+0.0988296
+0.098708
+0.0984729
+0.0967957
+0.0951394
+0.0935051
+0.091894
+0.0903072
+0.0887462
+0.0872123
+0.0857069
+0.0842316
+0.0827879
+0.0813777
+0.0800026
+0.0786636
+0.0773615
+0.0761001
+0.0748816
+0.0737059
+0.0725751
+0.0714937
+0.0704637
+0.0694876
+0.0685676
+0.067706
+0.066905
+0.0661669
+0.0654938
+0.0648877
+0.0643506
+0.0638838
+0.0634834
+0.0631564
+0.0617637
+0.060335
+0.0589531
+0.0576214
+0.0563434
+0.0551228
+0.0539636
+0.0528642
+0.0518252
+0.0508595
+0.0499712
+0.0491645
+0.0484435
+0.0478121
+0.0472738
+0.046832
+0.0464878
+0.0462427
+0.0461005
+0.0460621
+0.0461279
+0.0462961
+0.0465617
+0.0469282
+0.0473932
+0.0479539
+0.048607
+0.0493487
+0.0501752
+0.0510823
+0.0520659
+0.0531216
+0.0542453
+0.0554328
+0.0566703
+0.057963
+0.0593085
+0.0607032
+0.0621439
+0.0636273
+0.064719
+0.0658401
+0.067014
+0.0682382
+0.0695098
+0.0708263
+0.0721854
+0.0735845
+0.0750216
+0.0764944
+0.0780009
+0.0795393
+0.0811076
+0.105091
+0.10487
+0.104378
+0.103757
+0.103178
+0.102644
+0.102153
+0.101708
+0.101307
+0.100953
+0.100645
+0.100384
+0.10017
+0.100004
+0.0998859
+0.0988028
+0.0971313
+0.0954809
+0.0938525
+0.0922474
+0.0906669
+0.0891122
+0.0875846
+0.0860858
+0.0846171
+0.0831801
+0.0817766
+0.0804083
+0.0790763
+0.0777792
+0.0765206
+0.0753047
+0.0741336
+0.0730095
+0.0719345
+0.070911
+0.0699411
+0.0690271
+0.0681713
+0.0673759
+0.066643
+0.0659748
+0.0653732
+0.06484
+0.0643768
+0.0639795
+0.063655
+0.062348
+0.060933
+0.0595649
+0.0582472
+0.0569832
+0.0557767
+0.0546314
+0.0535456
+0.0525202
+0.0515674
+0.0506915
+0.0498965
+0.0491862
+0.0485645
+0.0480347
+0.0475999
+0.0472606
+0.0470195
+0.0468797
+0.046842
+0.0469067
+0.0470727
+0.047334
+0.0476945
+0.0481522
+0.0487041
+0.0493472
+0.050078
+0.0508927
+0.0517872
+0.0527576
+0.0537998
+0.0549096
+0.0560831
+0.0573066
+0.0585852
+0.0599167
+0.0612976
+0.0627246
+0.0638438
+0.064906
+0.066024
+0.0671947
+0.0684156
+0.069684
+0.0709973
+0.0723531
+0.0737491
+0.075183
+0.0766527
+0.0781562
+0.0796916
+0.081257
+0.105955
+0.105736
+0.105536
+0.104922
+0.10435
+0.103822
+0.103337
+0.102896
+0.1025
+0.10215
+0.101846
+0.101588
+0.101377
+0.101213
+0.100861
+0.0991758
+0.0975107
+0.0958667
+0.0942451
+0.0926468
+0.0910732
+0.0895255
+0.0880052
+0.0865136
+0.0850522
+0.0836228
+0.0822269
+0.0808662
+0.0795376
+0.078246
+0.076995
+0.0757867
+0.0746232
+0.0735066
+0.072439
+0.0714227
+0.0704598
+0.0695527
+0.0687034
+0.0679142
+0.0671872
+0.0665245
+0.0659279
+0.0653992
+0.0649401
+0.0645461
+0.0642246
+0.063003
+0.0616031
+0.0602503
+0.0589478
+0.0576992
+0.0565079
+0.0553778
+0.054307
+0.0532962
+0.0523575
+0.0514951
+0.0507126
+0.0500139
+0.0494026
+0.0488819
+0.0484547
+0.0481208
+0.0478841
+0.0477468
+0.0477098
+0.0477733
+0.0479369
+0.0481935
+0.0485477
+0.0489974
+0.0495399
+0.0501723
+0.0508912
+0.0516931
+0.052574
+0.0535302
+0.0545576
+0.0556523
+0.0568104
+0.0580186
+0.0592819
+0.060598
+0.0619637
+0.0631086
+0.0641083
+0.0651663
+0.0662798
+0.0674461
+0.0686625
+0.0699264
+0.0712353
+0.0725867
+0.0739782
+0.0754078
+0.0768732
+0.0783724
+0.0799036
+0.081465
+0.106857
+0.10664
+0.106467
+0.10612
+0.105554
+0.105032
+0.104553
+0.104117
+0.103726
+0.10338
+0.10308
+0.102825
+0.102616
+0.102454
+0.101269
+0.0995905
+0.0979325
+0.0962957
+0.0946814
+0.0930906
+0.0915246
+0.0899847
+0.0884722
+0.0869887
+0.0855355
+0.0841142
+0.0827266
+0.0813742
+0.0800541
+0.0787709
+0.0775284
+0.0763286
+0.0751735
+0.0740652
+0.0730058
+0.0719974
+0.0710424
+0.0701428
+0.0693007
+0.0685184
+0.0677979
+0.0671412
+0.0665501
+0.0660264
+0.0655716
+0.0651815
+0.0648631
+0.0637267
+0.062343
+0.0610066
+0.0597207
+0.0584885
+0.0573137
+0.0561997
+0.0551449
+0.0541497
+0.0532261
+0.052378
+0.0516089
+0.0509225
+0.0503222
+0.0498111
+0.049392
+0.0490639
+0.0488317
+0.0486971
+0.0486608
+0.0487231
+0.0488835
+0.0491358
+0.0494832
+0.0499245
+0.050457
+0.0510781
+0.0517844
+0.0525727
+0.0534391
+0.05438
+0.0553917
+0.0564702
+0.0576119
+0.0588036
+0.0600504
+0.0613501
+0.0625062
+0.0634397
+0.0644342
+0.0654869
+0.0665951
+0.067756
+0.0689669
+0.0702253
+0.0715287
+0.0728747
+0.0742608
+0.0756851
+0.0771452
+0.0786393
+0.0801654
+0.0817217
+0.107796
+0.107581
+0.10741
+0.107283
+0.106788
+0.106272
+0.105798
+0.105368
+0.104981
+0.10464
+0.104343
+0.104091
+0.103885
+0.103412
+0.101722
+0.100051
+0.0984012
+0.0967724
+0.0951661
+0.0935836
+0.092026
+0.0904946
+0.0889908
+0.087516
+0.0860717
+0.0846595
+0.0832809
+0.0819378
+0.0806268
+0.0793529
+0.0781197
+0.0769291
+0.0757831
+0.0746838
+0.0736333
+0.0726337
+0.0716871
+0.0707957
+0.0699615
+0.0691867
+0.0684732
+0.067823
+0.0672379
+0.0667197
+0.0662697
+0.0658837
+0.0655687
+0.0645167
+0.0631503
+0.0618313
+0.0605629
+0.0593483
+0.0581908
+0.0570939
+0.0560559
+0.0550772
+0.0541694
+0.0533363
+0.0525812
+0.0519077
+0.051319
+0.0508179
+0.0504067
+0.050085
+0.0498576
+0.0497257
+0.0496902
+0.0497512
+0.0499084
+0.0501561
+0.0504965
+0.050929
+0.0514511
+0.0520603
+0.0527535
+0.0535275
+0.0543787
+0.0553037
+0.0562987
+0.0573602
+0.0584845
+0.0596588
+0.0608881
+0.0620335
+0.0629125
+0.0638418
+0.0648302
+0.0658766
+0.0669783
+0.0681326
+0.069337
+0.0705888
+0.0718856
+0.073225
+0.0746047
+0.0760225
+0.0774762
+0.078964
+0.080484
+0.0820342
+0.108771
+0.108558
+0.108388
+0.108263
+0.108048
+0.107537
+0.107069
+0.106644
+0.106262
+0.105924
+0.105631
+0.105383
+0.105179
+0.103902
+0.10222
+0.100558
+0.0989162
+0.097296
+0.0956986
+0.094125
+0.0925765
+0.0910544
+0.08956
+0.0880947
+0.0866601
+0.0852576
+0.0838889
+0.0825556
+0.0812546
+0.0799907
+0.0787675
+0.0775868
+0.0764507
+0.0753611
+0.0743202
+0.07333
+0.0723925
+0.0715099
+0.0706841
+0.0699173
+0.0692113
+0.0685681
+0.0679895
+0.067477
+0.067032
+0.0666505
+0.0663391
+0.0653705
+0.0640224
+0.0627218
+0.0614717
+0.0602754
+0.059136
+0.058057
+0.0570366
+0.056075
+0.0551836
+0.054366
+0.0536255
+0.0529652
+0.0523884
+0.0518976
+0.0514945
+0.0511796
+0.0509571
+0.0508281
+0.0507933
+0.050853
+0.0510068
+0.0512498
+0.051583
+0.0520064
+0.0525179
+0.0531148
+0.0537944
+0.0545536
+0.0553891
+0.0562975
+0.0572752
+0.058319
+0.0594251
+0.0605812
+0.0616997
+0.0625067
+0.0633791
+0.0643144
+0.0652973
+0.0663363
+0.0674305
+0.0685772
+0.0697739
+0.0710181
+0.0723072
+0.0736389
+0.0750109
+0.0764212
+0.0778675
+0.079348
+0.0808607
+0.0824039
+0.109781
+0.10957
+0.109402
+0.109278
+0.109197
+0.108832
+0.108369
+0.107949
+0.107572
+0.107239
+0.106949
+0.106703
+0.106128
+0.104436
+0.102763
+0.10111
+0.0994768
+0.0978659
+0.0962779
+0.094714
+0.0931753
+0.0916631
+0.0901788
+0.0887238
+0.0872994
+0.0859074
+0.0845492
+0.0832265
+0.0819362
+0.080683
+0.0794704
+0.0783003
+0.0771747
+0.0760955
+0.0750648
+0.0740845
+0.0731567
+0.0722834
+0.0714666
+0.0707082
+0.0700102
+0.0693744
+0.0688026
+0.0682962
+0.0678566
+0.0674797
+0.0671722
+0.0662858
+0.0649567
+0.0636751
+0.0624442
+0.0612668
+0.0601463
+0.0590857
+0.0580833
+0.0571394
+0.0562649
+0.0554632
+0.0547375
+0.0540909
+0.0535261
+0.0530459
+0.052651
+0.0523431
+0.0521255
+0.0519994
+0.0519654
+0.0520237
+0.0521741
+0.0524122
+0.0527381
+0.0531523
+0.0536529
+0.0542373
+0.0549031
+0.0556471
+0.0564664
+0.0573577
+0.0583177
+0.0593431
+0.0604306
+0.0615203
+0.0622525
+0.0630524
+0.0639174
+0.0648449
+0.0658322
+0.0668647
+0.0679504
+0.0690885
+0.0702765
+0.0715119
+0.0727922
+0.0741152
+0.0754786
+0.0768803
+0.0783182
+0.0797902
+0.0812947
+0.0828298
+0.110825
+0.110616
+0.11045
+0.110327
+0.110247
+0.110155
+0.109698
+0.109283
+0.108911
+0.108581
+0.108295
+0.108053
+0.106696
+0.105013
+0.103349
+0.101705
+0.100082
+0.0984813
+0.0969034
+0.0953497
+0.0938214
+0.0923198
+0.0908462
+0.0894021
+0.0879887
+0.0866077
+0.0852607
+0.0839492
+0.0826702
+0.0814283
+0.0802269
+0.0790681
+0.0779535
+0.0768853
+0.0758653
+0.0748955
+0.0739778
+0.0731144
+0.0723069
+0.0715575
+0.0708679
+0.0702399
+0.0696751
+0.0691751
+0.0687411
+0.0683691
+0.0680656
+0.06726
+0.0659505
+0.0646887
+0.0634774
+0.0623196
+0.0612183
+0.0601766
+0.0591927
+0.0582667
+0.0574094
+0.0566239
+0.0559133
+0.0552804
+0.0547279
+0.0542584
+0.0538718
+0.0535709
+0.0533583
+0.0532351
+0.0532019
+0.0532589
+0.0534058
+0.053639
+0.0539575
+0.0543624
+0.0548519
+0.0554238
+0.0560754
+0.0568041
+0.0576069
+0.0584809
+0.0594227
+0.0604294
+0.061467
+0.062152
+0.0628769
+0.0636689
+0.0645256
+0.0654445
+0.0664229
+0.0674584
+0.0685363
+0.0696649
+0.0708432
+0.0720689
+0.0733395
+0.0746528
+0.0760066
+0.0773987
+0.0788271
+0.0802899
+0.0817852
+0.0833112
+0.111902
+0.111695
+0.111531
+0.111409
+0.11133
+0.111294
+0.111054
+0.110644
+0.110277
+0.109951
+0.109669
+0.108774
+0.107305
+0.105632
+0.103978
+0.102344
+0.100732
+0.0991412
+0.097574
+0.0960312
+0.0945139
+0.0930235
+0.0915612
+0.0901285
+0.0887268
+0.0873574
+0.0860221
+0.0847224
+0.0834553
+0.0822252
+0.0810357
+0.0798886
+0.0787856
+0.0777288
+0.07672
+0.0757612
+0.0748541
+0.0740009
+0.0732032
+0.0724631
+0.0717822
+0.0711622
+0.0706048
+0.0701114
+0.0696817
+0.0693148
+0.0690154
+0.0682907
+0.0670013
+0.0657596
+0.0645684
+0.0634305
+0.0623489
+0.0613264
+0.0603612
+0.0594534
+0.0586135
+0.0578444
+0.0571489
+0.0565299
+0.0559897
+0.0555308
+0.0551526
+0.0548587
+0.0546512
+0.0545309
+0.0544985
+0.0545541
+0.0546975
+0.0549258
+0.0552369
+0.0556325
+0.0561109
+0.05667
+0.0573075
+0.0580207
+0.058807
+0.0596633
+0.0605868
+0.0615691
+0.0621764
+0.0628537
+0.0635706
+0.0643541
+0.0652018
+0.0661113
+0.06708
+0.0681054
+0.0691851
+0.0703049
+0.0714727
+0.0726877
+0.0739477
+0.0752504
+0.0765936
+0.0779752
+0.0793933
+0.0808458
+0.082331
+0.0838471
+0.113012
+0.112807
+0.112644
+0.112523
+0.112445
+0.11241
+0.112417
+0.112032
+0.111669
+0.111347
+0.110609
+0.109187
+0.107765
+0.106293
+0.104649
+0.103026
+0.101424
+0.0998449
+0.0982889
+0.0967574
+0.0952517
+0.0937731
+0.0923227
+0.090902
+0.0895123
+0.0881552
+0.0868322
+0.0855448
+0.08429
+0.0830723
+0.0818951
+0.0807601
+0.0796693
+0.0786244
+0.0776272
+0.0766797
+0.0757836
+0.074941
+0.0741534
+0.0734229
+0.0727509
+0.0721393
+0.0715895
+0.071103
+0.0706769
+0.0703151
+0.0700201
+0.0693752
+0.0681063
+0.0668852
+0.0657144
+0.0645967
+0.0635349
+0.0625318
+0.0615855
+0.0606961
+0.0598735
+0.0591208
+0.0584406
+0.0578353
+0.0573075
+0.0568592
+0.0564893
+0.0562025
+0.0559999
+0.0558825
+0.0558509
+0.0559052
+0.0560451
+0.0562685
+0.0565722
+0.0569585
+0.0574259
+0.0579723
+0.0585956
+0.0592934
+0.060063
+0.0609016
+0.0618066
+0.0623542
+0.062954
+0.0636231
+0.0643315
+0.0651058
+0.0659439
+0.0668433
+0.0678015
+0.0688162
+0.0698848
+0.071005
+0.0721631
+0.0733667
+0.0746153
+0.0759065
+0.0772383
+0.0786086
+0.0800154
+0.0814568
+0.0829311
+0.0844365
+0.114153
+0.11395
+0.113788
+0.113669
+0.113592
+0.113557
+0.113564
+0.113445
+0.113086
+0.112498
+0.111057
+0.109642
+0.108243
+0.106791
+0.105358
+0.10375
+0.102159
+0.100591
+0.0990471
+0.0975275
+0.0960339
+0.0945675
+0.0931295
+0.0917212
+0.0903442
+0.0889998
+0.0876895
+0.0864149
+0.0851729
+0.083968
+0.0828035
+0.0816812
+0.0806028
+0.0795701
+0.078585
+0.0776491
+0.0767644
+0.0759326
+0.0751555
+0.0744348
+0.0737721
+0.0731689
+0.0726269
+0.0721465
+0.0717252
+0.0713688
+0.0710781
+0.0705111
+0.069263
+0.0680626
+0.0669124
+0.0658151
+0.0647733
+0.0637897
+0.0628624
+0.0619912
+0.0611861
+0.0604497
+0.0597846
+0.0591931
+0.0586775
+0.0582392
+0.0578781
+0.0575982
+0.0574006
+0.0572861
+0.0572552
+0.0573082
+0.0574447
+0.0576632
+0.0579595
+0.0583367
+0.0587931
+0.059327
+0.0599362
+0.0606185
+0.0613715
+0.0621925
+0.0626742
+0.063195
+0.0637869
+0.0644478
+0.0651571
+0.0659218
+0.0667496
+0.0676383
+0.0685854
+0.0695887
+0.0706456
+0.0717539
+0.0729112
+0.0741043
+0.0753407
+0.0766197
+0.0779393
+0.0792975
+0.0806923
+0.0821218
+0.0835843
+0.0850781
+0.115324
+0.115123
+0.114963
+0.114845
+0.114769
+0.114734
+0.114741
+0.11479
+0.114441
+0.112982
+0.111548
+0.110138
+0.108754
+0.107318
+0.105892
+0.104493
+0.102936
+0.10138
+0.0998476
+0.0983404
+0.0968593
+0.0954056
+0.0939804
+0.0925851
+0.0912211
+0.0898898
+0.0885927
+0.0873312
+0.0861025
+0.0849108
+0.0837594
+0.0826501
+0.0815845
+0.0805644
+0.0795915
+0.0786677
+0.0777946
+0.0769739
+0.0762074
+0.0754967
+0.0748434
+0.074249
+0.0737149
+0.0732393
+0.0728243
+0.0724733
+0.072187
+0.0716959
+0.0704689
+0.0692894
+0.0681599
+0.067083
+0.0660611
+0.065097
+0.0641886
+0.0633356
+0.0625479
+0.0618277
+0.0611775
+0.0605996
+0.0600961
+0.0596678
+0.0593154
+0.0590422
+0.0588495
+0.0587378
+0.0587077
+0.0587593
+0.0588925
+0.0591062
+0.0593953
+0.0597634
+0.060209
+0.0607304
+0.0613257
+0.0619927
+0.0627292
+0.0631445
+0.0635861
+0.0640994
+0.064683
+0.0653348
+0.0660452
+0.0667997
+0.0676168
+0.0684942
+0.0694297
+0.0704209
+0.0714655
+0.0725613
+0.0737059
+0.0748971
+0.0761222
+0.0773883
+0.078695
+0.0800404
+0.0814224
+0.0828394
+0.0842895
+0.085771
+0.116524
+0.116325
+0.116167
+0.11605
+0.115975
+0.115941
+0.115948
+0.115996
+0.114958
+0.113506
+0.112078
+0.110675
+0.109298
+0.107887
+0.106469
+0.105077
+0.103713
+0.102209
+0.100689
+0.099195
+0.0977269
+0.0962862
+0.0948743
+0.0934923
+0.0921418
+0.090824
+0.0895403
+0.0882924
+0.0870773
+0.0858991
+0.0847611
+0.0836651
+0.0826126
+0.0816054
+0.0806451
+0.0797334
+0.0788721
+0.0780628
+0.077307
+0.0766065
+0.0759628
+0.0753772
+0.074851
+0.0743805
+0.073972
+0.0736264
+0.0733447
+0.0729274
+0.0717214
+0.0705628
+0.069454
+0.0683975
+0.0673956
+0.0664508
+0.0655611
+0.0647263
+0.0639557
+0.0632515
+0.0626162
+0.0620517
+0.06156
+0.0611414
+0.0607976
+0.0605311
+0.0603431
+0.0602342
+0.0602049
+0.0602552
+0.0603851
+0.0605939
+0.0608761
+0.0612353
+0.0616702
+0.0621794
+0.0627609
+0.0634129
+0.0637621
+0.0641245
+0.0645594
+0.0650651
+0.06564
+0.0662824
+0.0669904
+0.0677371
+0.068543
+0.0694087
+0.070332
+0.0713107
+0.0723425
+0.0734252
+0.0745565
+0.0757343
+0.0769525
+0.0782077
+0.0795036
+0.0808358
+0.0822045
+0.0836082
+0.0850452
+0.0865138
+0.117753
+0.117556
+0.1174
+0.117284
+0.11721
+0.117176
+0.117181
+0.116983
+0.115515
+0.11407
+0.112649
+0.111254
+0.109884
+0.108496
+0.107087
+0.105703
+0.104347
+0.10302
+0.101571
+0.10009
+0.0986355
+0.0972083
+0.0958099
+0.0944417
+0.0931049
+0.0918009
+0.0905311
+0.0892971
+0.0880958
+0.0869314
+0.0858071
+0.0847246
+0.0836855
+0.0826913
+0.0817438
+0.0808445
+0.0799951
+0.0791973
+0.0784525
+0.0777623
+0.0771282
+0.0765515
+0.0760312
+0.0755681
+0.0751661
+0.074826
+0.0745488
+0.074203
+0.0730181
+0.0718805
+0.0707924
+0.0697561
+0.068774
+0.0678484
+0.0669773
+0.0661603
+0.0654066
+0.0647182
+0.0640974
+0.0635461
+0.0630661
+0.062657
+0.0623216
+0.0620617
+0.0618783
+0.0617721
+0.0617435
+0.0617926
+0.0619192
+0.0621228
+0.0623986
+0.0627491
+0.0631737
+0.0636708
+0.0642388
+0.0645226
+0.0648068
+0.0651635
+0.0655914
+0.0660892
+0.0666554
+0.0672881
+0.0679855
+0.0687315
+0.0695259
+0.0703795
+0.0712903
+0.072256
+0.0732745
+0.0743436
+0.0754611
+0.0766251
+0.0778293
+0.0790706
+0.0803525
+0.0816731
+0.0830302
+0.0844202
+0.0858435
+0.0872987
+0.11901
+0.118815
+0.118661
+0.118546
+0.118472
+0.11843
+0.118429
+0.117571
+0.11611
+0.114673
+0.11326
+0.111872
+0.110509
+0.109138
+0.107746
+0.106371
+0.105024
+0.103705
+0.102417
+0.101025
+0.099584
+0.0981706
+0.0967861
+0.0954319
+0.0941091
+0.0928193
+0.0915636
+0.0903437
+0.0891564
+0.0880061
+0.0868958
+0.085827
+0.0848013
+0.0838204
+0.0828858
+0.081999
+0.0811618
+0.0803755
+0.0796417
+0.0789619
+0.0783375
+0.0777698
+0.0772555
+0.0767998
+0.0764043
+0.0760697
+0.0757971
+0.0755207
+0.0743568
+0.07324
+0.0721723
+0.0711562
+0.0701936
+0.0692871
+0.0684343
+0.0676349
+0.0668978
+0.0662249
+0.0656184
+0.0650799
+0.0646113
+0.0642116
+0.0638843
+0.0636308
+0.0634519
+0.0633484
+0.0633205
+0.0633684
+0.0634919
+0.0636905
+0.06396
+0.064302
+0.0647163
+0.0652017
+0.0654211
+0.0656284
+0.0659078
+0.0662586
+0.0666795
+0.0671692
+0.0677263
+0.0683492
+0.0690359
+0.0697732
+0.0705632
+0.0714044
+0.0723022
+0.0732546
+0.0742594
+0.0753145
+0.0764179
+0.0775675
+0.0787573
+0.0799842
+0.0812517
+0.0825579
+0.0839009
+0.0852791
+0.0866896
+0.0881307
+0.120294
+0.120101
+0.119948
+0.119828
+0.119747
+0.119706
+0.119671
+0.118196
+0.116743
+0.115314
+0.113909
+0.112529
+0.111175
+0.10982
+0.108444
+0.107079
+0.105741
+0.104432
+0.103152
+0.101904
+0.100571
+0.0991719
+0.0978016
+0.0964616
+0.0951532
+0.0938777
+0.0926364
+0.0914308
+0.0902579
+0.0891217
+0.0880255
+0.0869706
+0.0859586
+0.084991
+0.0840694
+0.0831953
+0.0823701
+0.0815955
+0.0808728
+0.0802035
+0.0795888
+0.0790284
+0.0785219
+0.0780736
+0.0776845
+0.0773555
+0.0770874
+0.0768783
+0.0757352
+0.074639
+0.0735917
+0.0725954
+0.0716522
+0.0707643
+0.0699295
+0.0691474
+0.0684266
+0.0677689
+0.0671763
+0.0666504
+0.0661928
+0.0658024
+0.0654831
+0.0652358
+0.0650613
+0.0649603
+0.0649331
+0.0649798
+0.0651002
+0.065294
+0.0655574
+0.065891
+0.0662955
+0.0664521
+0.0665841
+0.0667877
+0.0670624
+0.0674071
+0.0678209
+0.0683025
+0.0688504
+0.0694631
+0.0701375
+0.0708615
+0.0716452
+0.072481
+0.0733657
+0.0743044
+0.0752952
+0.076336
+0.0774248
+0.0785596
+0.0797346
+0.0809468
+0.0821994
+0.0834908
+0.084819
+0.0861825
+0.0875796
+0.0890087
+0.121603
+0.121407
+0.121248
+0.121128
+0.121048
+0.121008
+0.120326
+0.118859
+0.117414
+0.115993
+0.114596
+0.113225
+0.111879
+0.110541
+0.109175
+0.107827
+0.106499
+0.105199
+0.103929
+0.102689
+0.101483
+0.100211
+0.0988553
+0.0975298
+0.0962359
+0.0949749
+0.0937481
+0.092557
+0.0913985
+0.0902767
+0.0891947
+0.0881538
+0.0871555
+0.0862014
+0.0852928
+0.0844314
+0.0836185
+0.0828555
+0.0821439
+0.081485
+0.0808801
+0.0803266
+0.0798283
+0.0793874
+0.0790047
+0.0786813
+0.0784177
+0.0782146
+0.0771504
+0.0760746
+0.0750473
+0.0740705
+0.0731464
+0.0722768
+0.0714606
+0.0706955
+0.0699904
+0.0693463
+0.0687648
+0.0682487
+0.0677994
+0.0674184
+0.0671067
+0.0668654
+0.0666952
+0.0665967
+0.0665702
+0.0666157
+0.0667332
+0.0669222
+0.0671821
+0.0675122
+0.0676006
+0.0676683
+0.067798
+0.067998
+0.0682677
+0.0686064
+0.069013
+0.0694863
+0.070025
+0.0706275
+0.0712876
+0.0720001
+0.0727715
+0.0736001
+0.0744784
+0.0754032
+0.0763798
+0.077406
+0.07848
+0.0795998
+0.0807596
+0.0819566
+0.0831941
+0.0844702
+0.0857833
+0.0871317
+0.0885138
+0.089928
+0.122926
+0.12273
+0.122572
+0.122454
+0.122375
+0.122335
+0.121012
+0.119558
+0.118122
+0.116709
+0.115321
+0.113958
+0.112614
+0.111288
+0.109944
+0.108614
+0.107296
+0.106005
+0.104745
+0.103516
+0.102319
+0.101155
+0.0999458
+0.098635
+0.0973558
+0.0961095
+0.0948974
+0.0937209
+0.092577
+0.0914696
+0.0904019
+0.089375
+0.0883905
+0.0874499
+0.0865545
+0.0857057
+0.084905
+0.0841537
+0.0834531
+0.0828046
+0.0822084
+0.0816629
+0.0811728
+0.0807392
+0.080363
+0.0800451
+0.079786
+0.0795864
+0.0785968
+0.077541
+0.0765334
+0.0755759
+0.0746704
+0.0738188
+0.0730192
+0.0722682
+0.0715763
+0.0709454
+0.0703771
+0.0698728
+0.0694341
+0.0690621
+0.0687579
+0.0685224
+0.0683563
+0.0682602
+0.0682343
+0.0682787
+0.0683933
+0.0685778
+0.0688315
+0.0688638
+0.0688654
+0.0689327
+0.06906
+0.0692563
+0.0695212
+0.0698538
+0.0702532
+0.0707182
+0.0712475
+0.0718398
+0.0724857
+0.0731865
+0.0739456
+0.0747612
+0.0756314
+0.076549
+0.0775111
+0.0785226
+0.0795815
+0.080686
+0.0818305
+0.083012
+0.0842339
+0.0854946
+0.0867922
+0.0881251
+0.0894919
+0.0908909
+0.124271
+0.124077
+0.123921
+0.123804
+0.123726
+0.123181
+0.121725
+0.120291
+0.118866
+0.117462
+0.116083
+0.114729
+0.113386
+0.112069
+0.110751
+0.10943
+0.108131
+0.106851
+0.105601
+0.104382
+0.103194
+0.102041
+0.100921
+0.0997761
+0.0985117
+0.0972802
+0.0960829
+0.094921
+0.0937918
+0.092699
+0.0916455
+0.0906327
+0.0896621
+0.0887349
+0.0878526
+0.0870165
+0.0862279
+0.0854883
+0.0847987
+0.0841606
+0.0835721
+0.0830355
+0.0825536
+0.0821273
+0.0817575
+0.0814449
+0.0811903
+0.0809942
+0.080077
+0.079041
+0.0780528
+0.0771141
+0.0762269
+0.0753928
+0.0746038
+0.0738689
+0.0731922
+0.0725754
+0.0720199
+0.0715272
+0.0710987
+0.0707354
+0.0704384
+0.0702086
+0.0700465
+0.0699527
+0.0699275
+0.0699708
+0.0700827
+0.0702627
+0.070241
+0.0701742
+0.0701758
+0.0702426
+0.0703675
+0.0705603
+0.0708202
+0.0711468
+0.0715389
+0.0719956
+0.0725157
+0.0730977
+0.0737294
+0.0744185
+0.0751651
+0.0759676
+0.0768242
+0.0777332
+0.078685
+0.0796815
+0.0807252
+0.0818143
+0.0829453
+0.0841112
+0.0853174
+0.0865622
+0.0878441
+0.0891613
+0.0905124
+0.0918959
+0.12564
+0.125448
+0.125294
+0.125179
+0.125101
+0.123921
+0.122474
+0.121048
+0.119645
+0.118251
+0.116881
+0.115528
+0.114194
+0.112887
+0.111595
+0.110285
+0.109001
+0.107731
+0.106491
+0.105283
+0.104106
+0.102962
+0.101853
+0.100779
+0.0997023
+0.0984857
+0.0973033
+0.0961562
+0.0950416
+0.0939633
+0.0929242
+0.0919255
+0.0909686
+0.0900549
+0.0891856
+0.0883621
+0.0875857
+0.0868576
+0.0861791
+0.0855509
+0.0849703
+0.0844426
+0.0839688
+0.0835497
+0.0831862
+0.0828791
+0.0826289
+0.0824362
+0.0815892
+0.0805726
+0.0796034
+0.0786832
+0.0778139
+0.0769933
+0.0762185
+0.0754993
+0.0748373
+0.0742342
+0.0736912
+0.0732098
+0.0727911
+0.0724364
+0.0721464
+0.071922
+0.0717638
+0.0716723
+0.0716476
+0.0716899
+0.0717991
+0.0717257
+0.0715933
+0.0715277
+0.0715293
+0.0715931
+0.0717157
+0.0719048
+0.0721599
+0.0724804
+0.0728654
+0.0733138
+0.0738246
+0.0743963
+0.0750165
+0.0756938
+0.076428
+0.0772174
+0.0780603
+0.078955
+0.0798948
+0.0808764
+0.0819049
+0.0829785
+0.0840954
+0.0852525
+0.0864428
+0.0876717
+0.0889375
+0.0902388
+0.091574
+0.0929417
+0.127032
+0.126842
+0.12669
+0.126576
+0.126155
+0.124695
+0.123256
+0.12184
+0.120448
+0.119075
+0.117707
+0.116363
+0.115039
+0.113741
+0.112471
+0.111176
+0.109904
+0.108648
+0.107419
+0.10622
+0.105054
+0.103921
+0.102822
+0.101758
+0.100731
+0.0997248
+0.0985572
+0.0974249
+0.096325
+0.0952612
+0.0942364
+0.0932518
+0.0923087
+0.0914083
+0.0905521
+0.0897411
+0.0889767
+0.0882601
+0.0875924
+0.0869725
+0.0864015
+0.0858826
+0.0854167
+0.0850048
+0.0846476
+0.0843457
+0.0840999
+0.0839106
+0.0831316
+0.0821341
+0.0811835
+0.0802815
+0.0794296
+0.0786199
+0.0778613
+0.0771574
+0.0765098
+0.0759199
+0.0753891
+0.0749186
+0.0745096
+0.074163
+0.0738798
+0.0736607
+0.0735063
+0.0734169
+0.0733928
+0.0734341
+0.0733038
+0.0731161
+0.0729862
+0.072922
+0.0729235
+0.0729837
+0.0731039
+0.0732894
+0.0735398
+0.0738543
+0.0742321
+0.0746724
+0.0751739
+0.0757355
+0.0763447
+0.0770104
+0.0777322
+0.0785084
+0.0793376
+0.080218
+0.0811457
+0.0821123
+0.0831255
+0.0841836
+0.0852847
+0.0864274
+0.0876085
+0.0888213
+0.090071
+0.0913561
+0.0926752
+0.0940269
+0.10118
+0.0994689
+0.0977767
+0.0961047
+0.0944526
+0.092822
+0.0912149
+0.0896325
+0.0880762
+0.0865473
+0.0850474
+0.0835781
+0.0821408
+0.0807374
+0.0793697
+0.0780395
+0.0767488
+0.0754996
+0.0742847
+0.0731146
+0.0719923
+0.0709198
+0.0698996
+0.0689339
+0.0680251
+0.0671754
+0.0663872
+0.0656627
+0.0650039
+0.0644129
+0.0638916
+0.0634418
+0.0630648
+0.0627621
+0.0625348
+0.0623835
+0.062309
+0.0623115
+0.0623909
+0.062547
+0.0627792
+0.0630866
+0.06346
+0.0639
+0.0644116
+0.0649929
+0.0656423
+0.0663577
+0.067137
+0.0679779
+0.0688783
+0.0698358
+0.0708482
+0.071913
+0.0730281
+0.0741911
+0.0753998
+0.0766521
+0.0779457
+0.0792712
+0.080634
+0.0820327
+0.0834654
+0.0849304
+0.0864262
+0.0879493
+0.0895
+0.0910771
+0.092679
+0.0943047
+0.0959528
+0.0976223
+0.099312
+0.101021
+0.102747
+0.10449
+0.10625
+0.107769
+0.108986
+0.11023
+0.111499
+0.112797
+0.114122
+0.115473
+0.11685
+0.118246
+0.119639
+0.121053
+0.12249
+0.123949
+0.12543
+0.126931
+0.128452
+0.129991
+0.13155
+0.133126
+0.133826
+0.134548
+0.135301
+0.136032
+0.100348
+0.0986219
+0.0969149
+0.0952277
+0.0935601
+0.0919137
+0.0902904
+0.0886916
+0.0871185
+0.0855725
+0.0840552
+0.0825682
+0.081113
+0.0796915
+0.0783056
+0.076957
+0.0756478
+0.0743801
+0.0731561
+0.0719691
+0.0708286
+0.0697382
+0.0687005
+0.0677177
+0.0667923
+0.0659268
+0.0651234
+0.0643847
+0.0637127
+0.0631096
+0.0625775
+0.0621181
+0.0617331
+0.0614238
+0.0611915
+0.0610369
+0.0609608
+0.0609633
+0.0610444
+0.061204
+0.0614412
+0.0617553
+0.0621389
+0.0625882
+0.0631103
+0.0637036
+0.064366
+0.0650954
+0.0658896
+0.0667463
+0.0676631
+0.0686376
+0.0696673
+0.0707499
+0.071883
+0.0730643
+0.0742913
+0.075562
+0.076874
+0.0782176
+0.0795984
+0.081015
+0.0824654
+0.0839479
+0.0854608
+0.0870026
+0.0885718
+0.0901669
+0.0917865
+0.0934295
+0.095094
+0.0967779
+0.0984809
+0.100203
+0.101943
+0.1037
+0.104876
+0.106081
+0.107318
+0.10858
+0.109869
+0.111186
+0.11253
+0.1139
+0.115288
+0.116681
+0.11809
+0.119522
+0.120978
+0.122455
+0.123953
+0.125472
+0.12701
+0.128567
+0.130142
+0.131736
+0.132654
+0.133382
+0.134105
+0.134786
+0.0995563
+0.0978166
+0.0960953
+0.0943935
+0.0927109
+0.0910491
+0.0894101
+0.0877952
+0.0862058
+0.0846431
+0.0831089
+0.0816046
+0.080132
+0.0786928
+0.0772889
+0.0759222
+0.0745949
+0.073309
+0.0720668
+0.0708705
+0.0697143
+0.0686063
+0.0675511
+0.0665513
+0.0656095
+0.0647282
+0.0639098
+0.0631568
+0.0624716
+0.0618565
+0.0613135
+0.0608445
+0.0604514
+0.0601356
+0.0598982
+0.0597403
+0.0596625
+0.059665
+0.059748
+0.059911
+0.0601533
+0.0604741
+0.060868
+0.0613266
+0.0618594
+0.0624645
+0.0631399
+0.0638833
+0.0646924
+0.0655647
+0.0664978
+0.0674891
+0.0685361
+0.0696363
+0.0707873
+0.0719865
+0.0732316
+0.0745203
+0.0758503
+0.0772118
+0.0786103
+0.0800443
+0.081512
+0.0830115
+0.0845412
+0.0860995
+0.0876848
+0.0892957
+0.0909309
+0.092589
+0.0942689
+0.0959694
+0.0976894
+0.0994266
+0.100836
+0.101995
+0.103188
+0.104413
+0.105669
+0.10695
+0.108258
+0.109594
+0.110958
+0.112338
+0.11373
+0.115133
+0.116561
+0.118012
+0.119486
+0.120981
+0.122498
+0.124034
+0.12559
+0.127164
+0.128757
+0.130367
+0.131507
+0.132218
+0.132873
+0.133561
+0.0988073
+0.0970541
+0.095319
+0.0936031
+0.091906
+0.0902294
+0.0885753
+0.0869449
+0.0853396
+0.0837608
+0.08221
+0.080689
+0.0791994
+0.0777429
+0.0763215
+0.0749373
+0.0735922
+0.0722884
+0.0710284
+0.0698143
+0.0686487
+0.0675264
+0.0664541
+0.0654376
+0.0644795
+0.0635825
+0.0627492
+0.0619821
+0.0612838
+0.0606566
+0.0601027
+0.0596243
+0.0592231
+0.0589006
+0.0586583
+0.058497
+0.0584175
+0.0584202
+0.0585049
+0.0586713
+0.0589188
+0.0592463
+0.0596504
+0.0601183
+0.0606617
+0.0612787
+0.061967
+0.0627243
+0.0635482
+0.064436
+0.0653852
+0.0663931
+0.0674571
+0.0685747
+0.0697431
+0.07096
+0.0722228
+0.0735292
+0.0748768
+0.0762557
+0.0776714
+0.0791224
+0.0806069
+0.0821229
+0.0836689
+0.0852431
+0.0868441
+0.0884703
+0.0901205
+0.0917932
+0.0934874
+0.0952018
+0.0968756
+0.0979836
+0.0991275
+0.100306
+0.101519
+0.102763
+0.104039
+0.105341
+0.106669
+0.108024
+0.109395
+0.110787
+0.112185
+0.113607
+0.115054
+0.116524
+0.118016
+0.11953
+0.121064
+0.122619
+0.124192
+0.125784
+0.127394
+0.129021
+0.130377
+0.131004
+0.131666
+0.13236
+0.0981014
+0.0963353
+0.0945871
+0.0928576
+0.0911467
+0.0894559
+0.0877872
+0.0861418
+0.0845213
+0.0829269
+0.0813603
+0.0798231
+0.0783169
+0.0768438
+0.0754054
+0.074004
+0.0726417
+0.0713206
+0.0700431
+0.0688117
+0.0676288
+0.0664971
+0.0654121
+0.0643791
+0.0634051
+0.0624926
+0.0616446
+0.0608636
+0.0601523
+0.0595132
+0.0589486
+0.0584607
+0.0580514
+0.0577224
+0.0574751
+0.0573105
+0.0572294
+0.0572321
+0.0573185
+0.0574884
+0.0577409
+0.0580751
+0.0584894
+0.0589667
+0.0595207
+0.0601493
+0.0608504
+0.0616215
+0.0624599
+0.0633629
+0.0643279
+0.0653522
+0.0664329
+0.0675674
+0.0687529
+0.069987
+0.0712671
+0.0725907
+0.0739554
+0.0753511
+0.0767835
+0.078251
+0.0797517
+0.0812837
+0.0828453
+0.0844349
+0.0860509
+0.0876918
+0.0893564
+0.0910432
+0.092751
+0.094056
+0.0951463
+0.0962741
+0.0974381
+0.0986371
+0.0998697
+0.101135
+0.102431
+0.103753
+0.1051
+0.106462
+0.10785
+0.109244
+0.110661
+0.112103
+0.113569
+0.115058
+0.116569
+0.118101
+0.119654
+0.121226
+0.122818
+0.124428
+0.126055
+0.127699
+0.129183
+0.129817
+0.130484
+0.131184
+0.0974396
+0.0956614
+0.0939006
+0.0921582
+0.0904341
+0.0887297
+0.0870471
+0.0853875
+0.0837523
+0.082143
+0.0805612
+0.0790084
+0.0774864
+0.0759971
+0.0745425
+0.0731246
+0.0717455
+0.0704076
+0.0691132
+0.0678649
+0.0666652
+0.0655169
+0.0644226
+0.0633788
+0.0623891
+0.0614616
+0.0605991
+0.0598044
+0.0590804
+0.0584295
+0.0578544
+0.0573572
+0.05694
+0.0566045
+0.0563523
+0.0561844
+0.0561017
+0.0561044
+0.0561926
+0.0563659
+0.0566234
+0.0569641
+0.0573865
+0.0578752
+0.0584395
+0.0590796
+0.0597933
+0.0605778
+0.0614304
+0.0623484
+0.0633289
+0.064369
+0.0654659
+0.0666169
+0.0678191
+0.0690698
+0.0703666
+0.0717068
+0.073088
+0.0745
+0.0759484
+0.0774318
+0.078948
+0.0804953
+0.082072
+0.0836762
+0.0853066
+0.0869616
+0.0886398
+0.0901988
+0.0912401
+0.0923216
+0.0934364
+0.0945846
+0.0957691
+0.0969887
+0.098242
+0.0995277
+0.100845
+0.102186
+0.103538
+0.104916
+0.106313
+0.107724
+0.109161
+0.110622
+0.112107
+0.113615
+0.115145
+0.116696
+0.118267
+0.119858
+0.121467
+0.123095
+0.124739
+0.1264
+0.128016
+0.128655
+0.129328
+0.130035
+0.0968229
+0.0950332
+0.0932605
+0.091506
+0.0897693
+0.088052
+0.0863562
+0.0846831
+0.083034
+0.0814105
+0.0798142
+0.0782466
+0.0767095
+0.0752048
+0.0737346
+0.0723008
+0.0709057
+0.0695516
+0.068241
+0.0669765
+0.0657606
+0.0645962
+0.063486
+0.0624329
+0.0614337
+0.0604916
+0.059615
+0.0588071
+0.0580706
+0.0574083
+0.0568228
+0.0563165
+0.0558915
+0.0555498
+0.0552927
+0.0551216
+0.0550373
+0.0550401
+0.05513
+0.0553065
+0.055569
+0.0559161
+0.0563463
+0.0568425
+0.0574169
+0.0580684
+0.0587943
+0.0595919
+0.0604585
+0.061391
+0.0623865
+0.0634421
+0.0645548
+0.0657217
+0.06694
+0.0682069
+0.0695197
+0.070876
+0.0722732
+0.0737042
+0.075168
+0.0766664
+0.0781975
+0.0797594
+0.0813503
+0.0829685
+0.0846125
+0.0862808
+0.0874176
+0.0884374
+0.0894992
+0.0906015
+0.0917429
+0.0929159
+0.0941214
+0.0953621
+0.0966365
+0.0979433
+0.0992807
+0.100622
+0.101991
+0.103389
+0.104796
+0.106227
+0.107684
+0.109165
+0.110669
+0.112197
+0.113746
+0.115316
+0.116905
+0.118514
+0.120142
+0.121787
+0.123449
+0.125127
+0.126821
+0.127521
+0.1282
+0.128913
+0.0962522
+0.0944516
+0.0926678
+0.0909018
+0.0891534
+0.087424
+0.0857158
+0.0840299
+0.0823678
+0.0807309
+0.0791208
+0.0775392
+0.0759878
+0.0744686
+0.0729835
+0.0715346
+0.0701243
+0.0687548
+0.0674288
+0.0661487
+0.0649173
+0.0637375
+0.062612
+0.061544
+0.0605303
+0.0595738
+0.0586836
+0.0578627
+0.057114
+0.0564405
+0.0558449
+0.0553296
+0.054897
+0.054549
+0.0542872
+0.0541129
+0.054027
+0.0540298
+0.0541214
+0.0543013
+0.0545686
+0.054922
+0.0553599
+0.0558713
+0.0564556
+0.0571181
+0.0578559
+0.0586663
+0.0595463
+0.0604929
+0.061503
+0.0625735
+0.0637013
+0.0648836
+0.0661173
+0.0673996
+0.0687279
+0.0700995
+0.0715119
+0.0729627
+0.0744438
+0.0759565
+0.0775017
+0.0790773
+0.0806816
+0.082313
+0.0837074
+0.0846585
+0.0856551
+0.0866956
+0.0877785
+0.0889021
+0.0900651
+0.0912658
+0.0924964
+0.0937585
+0.0950544
+0.0963827
+0.097716
+0.0990768
+0.100466
+0.101876
+0.103303
+0.104754
+0.106231
+0.107732
+0.109257
+0.110803
+0.112372
+0.11396
+0.115569
+0.117196
+0.118842
+0.120501
+0.122175
+0.12386
+0.125553
+0.126414
+0.127099
+0.127818
+0.0957282
+0.0939175
+0.0921234
+0.0903468
+0.0885874
+0.0868467
+0.0851269
+0.0834291
+0.0817548
+0.0801054
+0.0784825
+0.0768877
+0.0753229
+0.07379
+0.072291
+0.070828
+0.0694033
+0.0680193
+0.0666786
+0.0653839
+0.0641378
+0.0629433
+0.0618034
+0.0607212
+0.0596935
+0.0587234
+0.0578201
+0.0569867
+0.0562264
+0.0555421
+0.0549367
+0.0544129
+0.0539729
+0.0536189
+0.0533526
+0.0531753
+0.0530878
+0.0530907
+0.0531839
+0.0533669
+0.0536388
+0.0539984
+0.0544437
+0.0549704
+0.0555641
+0.0562371
+0.0569863
+0.0578089
+0.0587018
+0.0596618
+0.0606857
+0.0617703
+0.0629126
+0.0641094
+0.0653577
+0.0666547
+0.0679975
+0.0693835
+0.0708102
+0.0722751
+0.073776
+0.0753037
+0.076862
+0.0784504
+0.0800673
+0.0809996
+0.0819236
+0.0828952
+0.0839127
+0.0849746
+0.0860791
+0.0872246
+0.0884096
+0.0896284
+0.0908801
+0.0921668
+0.0934872
+0.094822
+0.0961694
+0.0975428
+0.0989457
+0.100377
+0.101835
+0.103307
+0.104804
+0.106326
+0.10787
+0.109436
+0.111021
+0.112624
+0.114245
+0.115886
+0.117544
+0.119219
+0.120898
+0.122593
+0.124303
+0.125336
+0.126027
+0.126752
+0.0952516
+0.0934318
+0.0916281
+0.0898417
+0.0880722
+0.0863212
+0.0845907
+0.0828819
+0.0811963
+0.0795353
+0.0779006
+0.0762936
+0.0747164
+0.0731708
+0.0716588
+0.0701826
+0.0687445
+0.067347
+0.0659927
+0.0646842
+0.0634244
+0.0622162
+0.0610628
+0.0599672
+0.0589263
+0.0579434
+0.0570277
+0.0561826
+0.0554112
+0.0547168
+0.0541021
+0.0535701
+0.0531232
+0.0527635
+0.0524928
+0.0523126
+0.0522237
+0.0522266
+0.0523213
+0.0525073
+0.0527837
+0.053149
+0.0536015
+0.0541388
+0.0547458
+0.0554287
+0.0561887
+0.0570228
+0.0579278
+0.0589004
+0.0599373
+0.0610353
+0.062191
+0.0634015
+0.0646635
+0.0659741
+0.0673305
+0.0687299
+0.0701699
+0.0716479
+0.0731617
+0.0747087
+0.0762799
+0.0774771
+0.0783207
+0.0792154
+0.0801599
+0.0811527
+0.0821918
+0.0832756
+0.0844023
+0.0855703
+0.0867705
+0.0880083
+0.0892827
+0.0905921
+0.0919327
+0.0932656
+0.0946304
+0.0960259
+0.0974506
+0.0989033
+0.100383
+0.101885
+0.103397
+0.104932
+0.106491
+0.108072
+0.109673
+0.111295
+0.112936
+0.114595
+0.116263
+0.117943
+0.11964
+0.121352
+0.12308
+0.124288
+0.124984
+0.125715
+0.0948234
+0.0929951
+0.0911828
+0.0893875
+0.0876089
+0.0858484
+0.0841081
+0.0823894
+0.0806935
+0.0790219
+0.0773763
+0.0757583
+0.0741696
+0.0726124
+0.0710885
+0.0696002
+0.0681499
+0.0667399
+0.065373
+0.0640518
+0.0627793
+0.0615585
+0.0603925
+0.0592845
+0.0582315
+0.0572366
+0.0563095
+0.0554534
+0.0546717
+0.0539678
+0.0533445
+0.0528048
+0.0523514
+0.0519863
+0.0517116
+0.0515286
+0.0514384
+0.0514413
+0.0515375
+0.0517264
+0.0520069
+0.0523776
+0.0528366
+0.0533817
+0.054004
+0.0546962
+0.0554662
+0.056311
+0.0572273
+0.0582116
+0.0592605
+0.0603708
+0.0615391
+0.0627621
+0.0640367
+0.0653598
+0.0667287
+0.0681406
+0.0695927
+0.0710827
+0.0726083
+0.0740924
+0.0748579
+0.0756739
+0.0765368
+0.0774521
+0.0784179
+0.0794324
+0.0804937
+0.0816
+0.0827469
+0.0839297
+0.0851524
+0.0864134
+0.0877109
+0.0890435
+0.0903747
+0.0917302
+0.0931176
+0.0945354
+0.0959822
+0.0974568
+0.098954
+0.100462
+0.101995
+0.103551
+0.10513
+0.106731
+0.108352
+0.109994
+0.111651
+0.113314
+0.114996
+0.116694
+0.118409
+0.120139
+0.121883
+0.123269
+0.123971
+0.124708
+0.094444
+0.0926082
+0.0907882
+0.088985
+0.0871981
+0.0854292
+0.0836802
+0.0819524
+0.0802473
+0.0785663
+0.0769109
+0.0752828
+0.073684
+0.0721162
+0.0705816
+0.0690824
+0.067621
+0.0661998
+0.0648215
+0.0634888
+0.0622048
+0.0609725
+0.0597951
+0.0586758
+0.0576116
+0.0566058
+0.0556682
+0.0548021
+0.054011
+0.0532983
+0.0526672
+0.0521205
+0.051661
+0.051291
+0.0510126
+0.0508271
+0.0507356
+0.0507386
+0.0508361
+0.0510275
+0.0513119
+0.0516876
+0.0521527
+0.0527048
+0.0533413
+0.0540426
+0.0548218
+0.0556764
+0.0566029
+0.0575979
+0.0586578
+0.0597793
+0.0609589
+0.0621933
+0.0634793
+0.0648139
+0.0661941
+0.067617
+0.06908
+0.0705791
+0.0715499
+0.0722761
+0.0730607
+0.0738911
+0.0747745
+0.0757111
+0.0766988
+0.0777357
+0.0788199
+0.0799432
+0.0811077
+0.0823141
+0.0835604
+0.084845
+0.0861662
+0.0874979
+0.0888434
+0.0902219
+0.0916321
+0.0930725
+0.0945418
+0.0960317
+0.0975358
+0.0990654
+0.10062
+0.102197
+0.103797
+0.105418
+0.107059
+0.10871
+0.110374
+0.112057
+0.113757
+0.115473
+0.117206
+0.118953
+0.120715
+0.122281
+0.122989
+0.123674
+0.0941088
+0.0922717
+0.090445
+0.0886347
+0.0868406
+0.0850643
+0.0833076
+0.081572
+0.0798588
+0.0781694
+0.0765054
+0.0748685
+0.0732606
+0.0716836
+0.0701396
+0.0686307
+0.0671594
+0.0657282
+0.0643398
+0.062997
+0.0617027
+0.0604602
+0.0592726
+0.0581433
+0.0570691
+0.0560537
+0.0551066
+0.0542316
+0.053432
+0.0527115
+0.0520732
+0.0515202
+0.0510554
+0.050681
+0.0503991
+0.0502114
+0.0501187
+0.0501218
+0.0502205
+0.0504143
+0.0507021
+0.0510823
+0.0515528
+0.0521113
+0.0527549
+0.05347
+0.0542574
+0.0551208
+0.0560565
+0.057061
+0.0581307
+0.0592621
+0.0604518
+0.0616964
+0.0629925
+0.0643372
+0.0657259
+0.067157
+0.0684204
+0.0690465
+0.0697301
+0.0704752
+0.0712798
+0.0721298
+0.073035
+0.073994
+0.0750043
+0.0760634
+0.077162
+0.0783066
+0.0794951
+0.0807255
+0.081996
+0.0832869
+0.0846054
+0.0859551
+0.0873388
+0.0887421
+0.0901754
+0.0916387
+0.0931175
+0.0946172
+0.0961433
+0.0976948
+0.0992703
+0.100869
+0.102489
+0.104131
+0.105777
+0.107443
+0.109127
+0.110828
+0.112547
+0.114281
+0.116031
+0.117796
+0.119575
+0.121324
+0.121921
+0.122509
+0.0938189
+0.0919769
+0.0901477
+0.0883311
+0.0865318
+0.0847509
+0.0829897
+0.0812489
+0.0795287
+0.0778321
+0.0761608
+0.0745164
+0.0729007
+0.0713157
+0.0697635
+0.0682463
+0.0667666
+0.0653268
+0.0639297
+0.062578
+0.0612749
+0.0600235
+0.0588271
+0.0576891
+0.0566063
+0.0555824
+0.0546272
+0.0537443
+0.0529374
+0.0522101
+0.0515656
+0.0510071
+0.0505375
+0.0501593
+0.0498745
+0.0496847
+0.0495911
+0.0495942
+0.0496939
+0.0498898
+0.0501806
+0.0505647
+0.05104
+0.0516041
+0.0522539
+0.0529757
+0.0537704
+0.0546414
+0.0555852
+0.0565981
+0.0576764
+0.0588166
+0.0600151
+0.0612685
+0.0625735
+0.063927
+0.0653245
+0.0659887
+0.066573
+0.0672238
+0.067932
+0.0686966
+0.0695088
+0.0703795
+0.0713069
+0.0722888
+0.073323
+0.0744059
+0.0755287
+0.0766977
+0.0779107
+0.0791471
+0.0804167
+0.0817238
+0.0830626
+0.0844369
+0.0858452
+0.0872857
+0.0887489
+0.0902156
+0.0917103
+0.0932326
+0.0947811
+0.0963544
+0.0979516
+0.0995713
+0.101209
+0.102855
+0.104521
+0.106206
+0.107909
+0.10963
+0.111367
+0.113119
+0.114887
+0.116669
+0.118465
+0.120222
+0.120779
+0.121373
+0.0935795
+0.0917327
+0.0898985
+0.0880768
+0.0862722
+0.0844858
+0.0827189
+0.0809727
+0.0792486
+0.077548
+0.0758726
+0.0742241
+0.0726042
+0.0710135
+0.0694546
+0.0679305
+0.0664437
+0.0649968
+0.0635924
+0.0622334
+0.0609229
+0.0596642
+0.0584604
+0.0573151
+0.0562251
+0.0551941
+0.054232
+0.0533426
+0.0525296
+0.0517965
+0.0511468
+0.0505837
+0.0501101
+0.0497287
+0.0494414
+0.04925
+0.0491555
+0.0491586
+0.0492593
+0.0494568
+0.0497501
+0.0501376
+0.0506169
+0.0511856
+0.0518407
+0.0525682
+0.0533689
+0.0542464
+0.0551969
+0.0562168
+0.0573023
+0.0584498
+0.0596557
+0.0609165
+0.0622289
+0.063155
+0.0636148
+0.0641461
+0.0647471
+0.065416
+0.0661507
+0.0669286
+0.0677616
+0.0686545
+0.0696049
+0.0706104
+0.0716689
+0.0727766
+0.0739242
+0.0750987
+0.0763099
+0.077564
+0.0788587
+0.0801854
+0.0815494
+0.0829488
+0.0843819
+0.085847
+0.0873271
+0.0888164
+0.0903343
+0.0918794
+0.0934503
+0.0950457
+0.0966645
+0.0982969
+0.0999428
+0.101609
+0.103295
+0.105
+0.106723
+0.108462
+0.110217
+0.111988
+0.113773
+0.115573
+0.117385
+0.119103
+0.119666
+0.120265
+0.0933909
+0.0915402
+0.0897021
+0.0878763
+0.0860675
+0.0842768
+0.0825054
+0.0807546
+0.0790258
+0.0773203
+0.0756398
+0.0739861
+0.0723609
+0.0707662
+0.0692041
+0.0676768
+0.0661869
+0.0647367
+0.0633291
+0.0619644
+0.0606481
+0.0593835
+0.0581739
+0.0570228
+0.0559272
+0.0548906
+0.0539231
+0.0530285
+0.0522106
+0.0514729
+0.0508191
+0.0502523
+0.0497756
+0.0493915
+0.0491023
+0.0489095
+0.0488145
+0.0488176
+0.0489189
+0.0491178
+0.0494132
+0.0498032
+0.0502858
+0.0508582
+0.0515174
+0.0522494
+0.053055
+0.0539376
+0.0548934
+0.0559188
+0.05701
+0.0581632
+0.0593749
+0.0605385
+0.0608929
+0.0613053
+0.0617791
+0.062326
+0.0629444
+0.0636323
+0.0643873
+0.0651859
+0.0660409
+0.0669567
+0.0679308
+0.0689608
+0.0700442
+0.0711573
+0.0723018
+0.0734937
+0.0747309
+0.0760111
+0.0773254
+0.078678
+0.0800676
+0.0814925
+0.0829507
+0.0844407
+0.0859367
+0.0874498
+0.088991
+0.090559
+0.0921524
+0.0937699
+0.0953967
+0.0970424
+0.0987092
+0.100396
+0.102102
+0.103827
+0.105568
+0.107326
+0.1091
+0.110889
+0.112691
+0.114495
+0.116296
+0.118
+0.118569
+0.119176
+0.0932533
+0.0913999
+0.0895589
+0.0877301
+0.0859182
+0.0841243
+0.0823497
+0.0805955
+0.0788631
+0.0771541
+0.0754699
+0.0738124
+0.0721833
+0.0705845
+0.0690183
+0.0674869
+0.0659926
+0.0645381
+0.0631262
+0.0617597
+0.0604417
+0.0591755
+0.0579644
+0.056812
+0.0557138
+0.0546732
+0.0537018
+0.0528035
+0.051982
+0.0512411
+0.0505842
+0.0500148
+0.0495358
+0.0491499
+0.0488592
+0.0486655
+0.0485699
+0.048573
+0.0486749
+0.0488748
+0.0491716
+0.0495635
+0.0500484
+0.0506235
+0.0512858
+0.052021
+0.05283
+0.0537163
+0.0546761
+0.0557055
+0.0568007
+0.0579581
+0.0584046
+0.0587065
+0.0590532
+0.0594786
+0.0599673
+0.0605305
+0.0611671
+0.0618747
+0.062651
+0.0634709
+0.0643487
+0.0652865
+0.0662723
+0.067315
+0.0684026
+0.0695236
+0.0706947
+0.0719134
+0.0731775
+0.0744844
+0.0758244
+0.0772032
+0.078619
+0.0800696
+0.0815533
+0.0830637
+0.0845803
+0.0861171
+0.0876818
+0.0892728
+0.0908873
+0.0925094
+0.0941546
+0.0958216
+0.0975093
+0.0992167
+0.100943
+0.102686
+0.104447
+0.106224
+0.107998
+0.109775
+0.111567
+0.113372
+0.115191
+0.116927
+0.117501
+0.11811
+0.0931671
+0.0913119
+0.0894691
+0.0876384
+0.0858246
+0.0840287
+0.082252
+0.0804957
+0.0787612
+0.0770498
+0.0753634
+0.0737034
+0.0720718
+0.0704706
+0.0689018
+0.0673677
+0.0658707
+0.0644135
+0.0629987
+0.0616294
+0.0603086
+0.0590395
+0.0578256
+0.0566704
+0.0555776
+0.054543
+0.0535693
+0.0526687
+0.0518451
+0.0511022
+0.0504435
+0.0498725
+0.0493921
+0.049005
+0.0487135
+0.0485192
+0.0484233
+0.0484265
+0.0485286
+0.0487291
+0.0490268
+0.0494199
+0.0499061
+0.0504828
+0.051147
+0.0518841
+0.0526953
+0.0535838
+0.0545459
+0.0555777
+0.0562029
+0.0563603
+0.056591
+0.0568805
+0.0572383
+0.0576772
+0.0581815
+0.0587618
+0.0594174
+0.0601456
+0.0609239
+0.0617599
+0.0626547
+0.0636059
+0.0646174
+0.0656781
+0.0667729
+0.0679208
+0.069119
+0.070365
+0.0716564
+0.0729907
+0.0743575
+0.0757631
+0.0772053
+0.078682
+0.0801786
+0.0817036
+0.0832583
+0.0848202
+0.0864083
+0.0880156
+0.0896362
+0.0912805
+0.0929475
+0.0946357
+0.0963442
+0.0980719
+0.0998177
+0.101559
+0.103307
+0.105072
+0.106852
+0.108648
+0.110457
+0.112281
+0.114117
+0.115885
+0.116461
+0.117071
+0.0931273
+0.0912716
+0.0894309
+0.0876015
+0.0857869
+0.0839902
+0.0822126
+0.0804555
+0.07872
+0.0770078
+0.0753204
+0.0736595
+0.0720269
+0.0704246
+0.0688547
+0.0673196
+0.0658215
+0.0643632
+0.0629473
+0.0615768
+0.0602548
+0.0589846
+0.0577695
+0.0566132
+0.0555193
+0.0544915
+0.0535261
+0.0526248
+0.0518005
+0.0510569
+0.0503977
+0.0498261
+0.0493453
+0.0489578
+0.048666
+0.0484715
+0.0483756
+0.0483787
+0.048481
+0.0486817
+0.0489797
+0.0493731
+0.0498598
+0.0504371
+0.0511018
+0.0518396
+0.0526515
+0.0535407
+0.054306
+0.0543182
+0.0544041
+0.0545497
+0.0547826
+0.0550811
+0.0554505
+0.0559035
+0.0564242
+0.0570225
+0.0576924
+0.0584104
+0.0592009
+0.0600609
+0.0609803
+0.0619572
+0.0629881
+0.064054
+0.0651761
+0.0663515
+0.0675776
+0.0688515
+0.0701708
+0.0715328
+0.0729271
+0.0743597
+0.0758232
+0.07731
+0.0788296
+0.0803802
+0.0819601
+0.0835605
+0.0851598
+0.0867784
+0.0884217
+0.0900882
+0.0917768
+0.0934861
+0.0951874
+0.096902
+0.0986354
+0.100387
+0.102155
+0.103939
+0.105739
+0.107553
+0.109381
+0.111222
+0.113075
+0.114843
+0.115448
+0.116063
+0.0931341
+0.0912785
+0.089438
+0.0876137
+0.085805
+0.0840088
+0.0822316
+0.0804748
+0.0787398
+0.0770281
+0.0753411
+0.0736806
+0.0720485
+0.0704467
+0.0688774
+0.0673427
+0.0658452
+0.0643874
+0.0629721
+0.0616022
+0.0602807
+0.059011
+0.0577965
+0.0566408
+0.0555474
+0.0545201
+0.0535628
+0.0526721
+0.0518485
+0.0511057
+0.0504471
+0.0498761
+0.0493957
+0.0490087
+0.0487171
+0.0485229
+0.048427
+0.0484302
+0.0485323
+0.0487328
+0.0490305
+0.0494235
+0.0499097
+0.0504864
+0.0511505
+0.0518876
+0.0526987
+0.0526068
+0.0525281
+0.0525406
+0.0526091
+0.0527597
+0.0530005
+0.053311
+0.0536926
+0.054154
+0.0546894
+0.0552926
+0.0559557
+0.0566957
+0.0575097
+0.0583947
+0.0593395
+0.0603372
+0.061371
+0.0624644
+0.0636146
+0.0648184
+0.0660729
+0.0673753
+0.0687229
+0.0701121
+0.0715297
+0.0729806
+0.0744597
+0.0759732
+0.0775191
+0.0790954
+0.0807004
+0.0822926
+0.0839063
+0.0855457
+0.0872094
+0.0888954
+0.0905728
+0.0922704
+0.0939871
+0.0957231
+0.0974775
+0.0992492
+0.101037
+0.102841
+0.104659
+0.106492
+0.108338
+0.110196
+0.112065
+0.113769
+0.114381
+0.114988
+0.0931925
+0.091338
+0.0894988
+0.0876756
+0.0858697
+0.0840821
+0.0823089
+0.0805538
+0.0788206
+0.0771106
+0.0754255
+0.0737669
+0.0721367
+0.070537
+0.0689697
+0.0674371
+0.0659417
+0.0644861
+0.063073
+0.0617053
+0.0603861
+0.0591187
+0.0579065
+0.0567529
+0.0556617
+0.0546366
+0.0536814
+0.0527957
+0.0519741
+0.0512331
+0.0505761
+0.0500066
+0.0495275
+0.0491415
+0.0488508
+0.048657
+0.0485614
+0.0485646
+0.0486664
+0.0488664
+0.0491632
+0.0495553
+0.0500402
+0.0506154
+0.0512777
+0.0512973
+0.0510378
+0.0508638
+0.0507823
+0.0507766
+0.0508369
+0.0509913
+0.0512389
+0.051532
+0.0519099
+0.0523768
+0.0529295
+0.0535583
+0.0542518
+0.0550148
+0.0558533
+0.0567641
+0.057731
+0.0587288
+0.0597904
+0.0609122
+0.0620911
+0.0633239
+0.0646074
+0.0659388
+0.0673142
+0.0687197
+0.0701598
+0.0716301
+0.0731365
+0.0746768
+0.076249
+0.0778221
+0.0794058
+0.0810178
+0.0826564
+0.0843202
+0.0859892
+0.0876675
+0.0893655
+0.0910842
+0.0928229
+0.0945803
+0.0963554
+0.0981474
+0.0999553
+0.101778
+0.103615
+0.105466
+0.107329
+0.109205
+0.111065
+0.112712
+0.1133
+0.113927
+0.0933022
+0.09145
+0.089613
+0.0877923
+0.0859888
+0.0842037
+0.0824382
+0.0806922
+0.078962
+0.0772552
+0.0755733
+0.073918
+0.0722913
+0.070695
+0.0691313
+0.0676024
+0.0661107
+0.0646589
+0.0632497
+0.0618859
+0.0605706
+0.0593072
+0.0580989
+0.0569492
+0.0558618
+0.0548405
+0.0538888
+0.0530066
+0.0521884
+0.0514504
+0.0507963
+0.0502293
+0.0497523
+0.0493681
+0.0490787
+0.0488858
+0.0487907
+0.0487938
+0.0488952
+0.0490942
+0.0493897
+0.0497799
+0.0502627
+0.0504236
+0.0499678
+0.0496046
+0.0493361
+0.0491566
+0.0490462
+0.0490107
+0.0490732
+0.0492331
+0.0494582
+0.0497577
+0.0501489
+0.050632
+0.0512006
+0.0518503
+0.0525833
+0.0533709
+0.0542348
+0.0551622
+0.0561334
+0.0571592
+0.0582493
+0.0594003
+0.0606086
+0.0618709
+0.063184
+0.0645437
+0.0659356
+0.0673633
+0.0688236
+0.0703219
+0.0718558
+0.0734062
+0.0749552
+0.0765355
+0.0781453
+0.0797828
+0.0814424
+0.083097
+0.084775
+0.086474
+0.0881947
+0.0899358
+0.0916962
+0.0934748
+0.0952706
+0.0970826
+0.0989099
+0.100752
+0.102607
+0.104476
+0.106354
+0.108206
+0.110071
+0.111658
+0.112251
+0.112884
+0.0934632
+0.0916142
+0.0897806
+0.0879633
+0.0861634
+0.084382
+0.0826203
+0.0808795
+0.0791611
+0.0774614
+0.0757841
+0.0741336
+0.0725117
+0.0709204
+0.0693617
+0.067838
+0.0663517
+0.0649052
+0.0635015
+0.0621432
+0.0608335
+0.0595756
+0.0583729
+0.0572287
+0.0561468
+0.0551307
+0.0541842
+0.0533068
+0.0524932
+0.0517596
+0.0511095
+0.050546
+0.050072
+0.0496902
+0.0494027
+0.0492112
+0.0491167
+0.0491198
+0.0492205
+0.0494182
+0.0497117
+0.0498807
+0.0492981
+0.0487906
+0.0483277
+0.0479483
+0.0476509
+0.0474528
+0.0473172
+0.0472804
+0.0473451
+0.0474818
+0.0477096
+0.0480177
+0.048423
+0.0489231
+0.0495082
+0.0501798
+0.0509369
+0.0517674
+0.0526471
+0.0535777
+0.054577
+0.0556315
+0.056751
+0.0579317
+0.05917
+0.0604624
+0.0618044
+0.0631806
+0.0645943
+0.0660432
+0.0675321
+0.0690554
+0.0705639
+0.0721074
+0.0736837
+0.0752907
+0.0769266
+0.078566
+0.0802201
+0.0818973
+0.0835974
+0.0853198
+0.0870633
+0.0888266
+0.0906086
+0.0924081
+0.0942242
+0.0960559
+0.0979024
+0.0997628
+0.101636
+0.103488
+0.105345
+0.107214
+0.109095
+0.110625
+0.111224
+0.111856
+0.0936751
+0.0918304
+0.0900012
+0.0881885
+0.0863933
+0.0846167
+0.08286
+0.0811244
+0.0794112
+0.0777221
+0.0760575
+0.0744131
+0.0727974
+0.0712124
+0.0696603
+0.0681433
+0.0666638
+0.0652243
+0.0638275
+0.0624763
+0.0611738
+0.059923
+0.0587274
+0.0575903
+0.0565153
+0.0555059
+0.0545659
+0.0536948
+0.0528872
+0.0521591
+0.051514
+0.050955
+0.0504849
+0.0501062
+0.0498211
+0.0496312
+0.0495375
+0.0495405
+0.0496404
+0.0497488
+0.0490029
+0.0483035
+0.0476849
+0.04716
+0.0466868
+0.0462777
+0.0459694
+0.0457531
+0.0456278
+0.0455897
+0.0456303
+0.0457632
+0.0459961
+0.0463156
+0.0467356
+0.0472532
+0.0478563
+0.0485508
+0.0493328
+0.0501973
+0.0510786
+0.0520372
+0.0530654
+0.0541493
+0.0552988
+0.0565099
+0.0577787
+0.0591005
+0.0604589
+0.0618565
+0.0632923
+0.0647704
+0.0662438
+0.0677441
+0.0692811
+0.0708526
+0.0724562
+0.0740818
+0.0757071
+0.07736
+0.0790362
+0.0807371
+0.0824611
+0.0842068
+0.0859729
+0.0877581
+0.0895613
+0.0913815
+0.0932176
+0.0950687
+0.096934
+0.0987873
+0.100635
+0.102497
+0.104371
+0.106258
+0.108153
+0.10954
+0.110103
+0.110706
+0.0939376
+0.0920982
+0.0902744
+0.0884673
+0.0866779
+0.0849073
+0.0831567
+0.0814274
+0.0797208
+0.0780383
+0.0763817
+0.0747526
+0.0731476
+0.0715704
+0.0700262
+0.0685173
+0.067046
+0.0656149
+0.0642266
+0.062884
+0.0615901
+0.060348
+0.059161
+0.0580324
+0.0569657
+0.0559644
+0.0550323
+0.0541687
+0.0533682
+0.0526468
+0.0520077
+0.0514541
+0.0509886
+0.0506137
+0.0503315
+0.0501435
+0.0500507
+0.0500299
+0.0490998
+0.0482513
+0.0474887
+0.0467587
+0.0461193
+0.0455731
+0.0450631
+0.044638
+0.0443172
+0.0440917
+0.0439666
+0.0439195
+0.0439486
+0.0440866
+0.0443216
+0.044653
+0.0450886
+0.0456248
+0.0462491
+0.0469674
+0.0477754
+0.0486484
+0.0495572
+0.0505448
+0.0516025
+0.0527166
+0.0538967
+0.0551386
+0.0564371
+0.0577742
+0.0591423
+0.0605588
+0.0620098
+0.0634589
+0.0649496
+0.0664791
+0.0680447
+0.0696441
+0.071245
+0.0728678
+0.0745179
+0.0761937
+0.077895
+0.0796203
+0.0813679
+0.0831366
+0.0849249
+0.0867317
+0.0885558
+0.0903962
+0.092252
+0.0941069
+0.0959451
+0.0977978
+0.0996642
+0.101544
+0.103435
+0.10533
+0.107227
+0.108407
+0.108975
+0.109585
+0.0942504
+0.0924172
+0.0905998
+0.0887993
+0.0870167
+0.0852532
+0.0835098
+0.081788
+0.0800891
+0.0784145
+0.076766
+0.0751452
+0.0735539
+0.0719933
+0.0704584
+0.0689589
+0.0674973
+0.0660759
+0.0646975
+0.0633649
+0.062081
+0.0608489
+0.0596718
+0.0585531
+0.0574961
+0.0565042
+0.0555811
+0.0547262
+0.053934
+0.0532203
+0.0525882
+0.0520407
+0.0515805
+0.0512099
+0.050931
+0.0507452
+0.0496571
+0.0486283
+0.0476708
+0.0467964
+0.0460097
+0.0452633
+0.0446025
+0.0440242
+0.0434842
+0.0430435
+0.0427107
+0.0424783
+0.0423484
+0.0422833
+0.0423135
+0.0424568
+0.0426938
+0.0430377
+0.0434895
+0.0440452
+0.0446916
+0.0454345
+0.0462692
+0.0471504
+0.0480876
+0.0491047
+0.0501927
+0.0513373
+0.0525484
+0.0538129
+0.0551052
+0.0564529
+0.0578523
+0.0592689
+0.0607044
+0.0621839
+0.0637045
+0.0652631
+0.0668441
+0.0684309
+0.0700504
+0.071697
+0.0733718
+0.0750732
+0.0767994
+0.0785487
+0.0803197
+0.0821109
+0.0839211
+0.085749
+0.0875936
+0.0894498
+0.0912766
+0.0931192
+0.0949765
+0.0968477
+0.0987321
+0.100629
+0.102523
+0.104425
+0.106338
+0.107307
+0.107881
+0.108496
+0.0946129
+0.0927868
+0.0909768
+0.0891839
+0.0874092
+0.0856537
+0.0839187
+0.0822054
+0.0805153
+0.0788498
+0.0772106
+0.0755993
+0.0740178
+0.072468
+0.070952
+0.0694649
+0.0680145
+0.0666045
+0.0652377
+0.0639167
+0.0626445
+0.0614239
+0.0602581
+0.0591504
+0.0581043
+0.057123
+0.05621
+0.0553648
+0.0545819
+0.0538768
+0.0532524
+0.0527118
+0.0522576
+0.0518685
+0.0506305
+0.0494586
+0.0483411
+0.0472819
+0.0462963
+0.0453952
+0.0445835
+0.0438227
+0.0431399
+0.0425109
+0.0419603
+0.0415034
+0.0411582
+0.0409186
+0.0407674
+0.0406992
+0.0407306
+0.0408757
+0.0411183
+0.0414753
+0.0419439
+0.0425198
+0.043189
+0.0439573
+0.0448128
+0.0457084
+0.0466746
+0.0477218
+0.0488405
+0.0500134
+0.0512186
+0.0524833
+0.0538076
+0.0551852
+0.0565649
+0.0579845
+0.0594511
+0.060961
+0.0625113
+0.0640615
+0.0656425
+0.0672566
+0.0689
+0.0705732
+0.072274
+0.0740006
+0.0757512
+0.0775242
+0.0793181
+0.0811314
+0.082963
+0.0848116
+0.0866336
+0.0884643
+0.0903111
+0.0921729
+0.0940489
+0.0959383
+0.0978371
+0.0997323
+0.101639
+0.103558
+0.105487
+0.10624
+0.10682
+0.107442
+0.0950244
+0.0932065
+0.0914048
+0.0896205
+0.0878545
+0.0861081
+0.0843825
+0.0826788
+0.0809986
+0.0793432
+0.0777144
+0.0761138
+0.0745432
+0.0730045
+0.0714999
+0.0700245
+0.0685859
+0.0671879
+0.0658332
+0.0645244
+0.0632644
+0.0620562
+0.0609029
+0.0598075
+0.0587735
+0.057804
+0.0569024
+0.0560719
+0.0553091
+0.0546133
+0.0539975
+0.0533927
+0.052025
+0.0506966
+0.0494293
+0.0482264
+0.0470773
+0.0459883
+0.0449744
+0.0440462
+0.0432092
+0.0424393
+0.0417177
+0.0410588
+0.0404884
+0.0400162
+0.0396596
+0.0394006
+0.0392235
+0.0391541
+0.0391866
+0.0393414
+0.0396013
+0.0399719
+0.0404579
+0.0410547
+0.0417474
+0.0425094
+0.0433541
+0.0442841
+0.0453011
+0.0463994
+0.0475093
+0.0486786
+0.049916
+0.051213
+0.0525323
+0.0538924
+0.0553045
+0.0567557
+0.0582532
+0.059774
+0.0613091
+0.062883
+0.0644902
+0.0661298
+0.0678006
+0.0695002
+0.0712267
+0.0729781
+0.0747526
+0.0765487
+0.0783649
+0.0801998
+0.0820202
+0.0838372
+0.0856717
+0.0875226
+0.0893888
+0.0912695
+0.0931637
+0.0950607
+0.0969607
+0.0988727
+0.100796
+0.10273
+0.104666
+0.105209
+0.105794
+0.106422
+0.0954845
+0.0936755
+0.091883
+0.0901082
+0.088352
+0.0866156
+0.0849002
+0.0832072
+0.0815378
+0.0798937
+0.0782763
+0.0766874
+0.0751288
+0.0736024
+0.0721102
+0.0706476
+0.0692219
+0.0678371
+0.0664956
+0.0652001
+0.0639534
+0.0627585
+0.0616183
+0.0605359
+0.0595145
+0.0585573
+0.0576674
+0.0568481
+0.0561024
+0.0552844
+0.053792
+0.0523428
+0.0509465
+0.0495939
+0.048296
+0.0470619
+0.0458744
+0.0447511
+0.0437087
+0.0427533
+0.0418852
+0.0410876
+0.0403375
+0.0396734
+0.03907
+0.0385805
+0.0381968
+0.0379171
+0.0377311
+0.0376608
+0.0376947
+0.0378555
+0.0381342
+0.0385189
+0.039023
+0.0396374
+0.0403122
+0.0410805
+0.0419466
+0.0429072
+0.0439561
+0.045079
+0.046206
+0.0474075
+0.0486534
+0.0499307
+0.0512662
+0.0526591
+0.0541035
+0.055586
+0.0570672
+0.0585912
+0.0601561
+0.0617553
+0.06339
+0.0650573
+0.0667549
+0.0684805
+0.070232
+0.0720076
+0.0738055
+0.0756166
+0.0774419
+0.0792428
+0.0810629
+0.0829008
+0.0847556
+0.086626
+0.0885112
+0.0904101
+0.0923048
+0.0942094
+0.0961262
+0.0980545
+0.0999936
+0.101943
+0.103665
+0.104213
+0.104804
+0.105437
+0.0959904
+0.0941931
+0.0924107
+0.0906462
+0.0889006
+0.0871752
+0.085471
+0.0837895
+0.082132
+0.0805
+0.0788951
+0.0773189
+0.0757733
+0.0742601
+0.0727814
+0.0713325
+0.0699208
+0.0685501
+0.0672228
+0.0659416
+0.0647093
+0.0635285
+0.0624024
+0.0613339
+0.060326
+0.0593819
+0.0585046
+0.0574965
+0.0558988
+0.0543425
+0.0528249
+0.0513479
+0.049914
+0.0485238
+0.0471945
+0.0459311
+0.044733
+0.0435803
+0.0425093
+0.0415263
+0.040635
+0.0397913
+0.0390177
+0.0383268
+0.0377026
+0.0371838
+0.0367745
+0.0364924
+0.036292
+0.0362204
+0.0362617
+0.0364276
+0.0366996
+0.0370992
+0.0376066
+0.0382242
+0.0389181
+0.0397106
+0.0406059
+0.0415975
+0.0426713
+0.0438131
+0.0449718
+0.0461453
+0.0473888
+0.0486956
+0.0500641
+0.0514895
+0.0529388
+0.0544021
+0.0559129
+0.0574655
+0.0590564
+0.0606846
+0.0623473
+0.0640418
+0.0657656
+0.0675165
+0.0692829
+0.0710727
+0.0728843
+0.074687
+0.07649
+0.0783127
+0.0801539
+0.0820123
+0.0838867
+0.0857655
+0.0876586
+0.0895624
+0.0914753
+0.0934003
+0.0953349
+0.0972788
+0.099228
+0.101168
+0.102697
+0.10325
+0.103846
+0.104485
+0.0965358
+0.0947501
+0.0929817
+0.0912317
+0.0894996
+0.0877859
+0.0860938
+0.0844247
+0.0827799
+0.0811609
+0.0795693
+0.0780068
+0.0764751
+0.0749761
+0.0735118
+0.0720776
+0.0706808
+0.0693251
+0.0680129
+0.0667469
+0.0655297
+0.064364
+0.0632527
+0.0621988
+0.0612052
+0.0600277
+0.0583349
+0.0566729
+0.0550432
+0.0534515
+0.0519003
+0.0503966
+0.0489421
+0.0475287
+0.0461707
+0.0448786
+0.0436476
+0.0424819
+0.0413824
+0.040372
+0.0394278
+0.0385624
+0.0377525
+0.0370366
+0.0363885
+0.0358513
+0.0354266
+0.0351127
+0.0349009
+0.0348027
+0.0348394
+0.0350065
+0.0352895
+0.0357049
+0.036229
+0.0368697
+0.0375903
+0.0384102
+0.0393352
+0.040349
+0.0414476
+0.0425852
+0.0437129
+0.0449169
+0.0461897
+0.0475294
+0.0489305
+0.0503412
+0.0517852
+0.0532802
+0.054818
+0.0563984
+0.0580186
+0.0596751
+0.061364
+0.0630742
+0.0648133
+0.066579
+0.0683693
+0.0701774
+0.07196
+0.0737646
+0.0755896
+0.0774335
+0.0792833
+0.0811502
+0.0830329
+0.0849303
+0.0868387
+0.0887562
+0.090686
+0.0926274
+0.0945757
+0.0965095
+0.098454
+0.100409
+0.101766
+0.102325
+0.102927
+0.103571
+0.0971275
+0.0953528
+0.0935959
+0.0918575
+0.0901389
+0.0884412
+0.0867655
+0.0851116
+0.0834803
+0.0818752
+0.0802977
+0.0787496
+0.0772327
+0.0757487
+0.0742996
+0.0728809
+0.0714998
+0.0701599
+0.0688637
+0.0676136
+0.0664122
+0.0652623
+0.0641666
+0.0628226
+0.061049
+0.0593032
+0.0575822
+0.0558932
+0.0542401
+0.0526241
+0.0510478
+0.0495182
+0.0480378
+0.0466026
+0.045228
+0.0439056
+0.0426399
+0.0414514
+0.040326
+0.0392411
+0.0382511
+0.0373463
+0.0365172
+0.035802
+0.0351242
+0.0345551
+0.0341143
+0.0337838
+0.0335637
+0.0334619
+0.0335002
+0.0336681
+0.0339622
+0.0343906
+0.0349277
+0.0355798
+0.0363386
+0.0371889
+0.0381372
+0.0391753
+0.0402955
+0.0413695
+0.042527
+0.0437596
+0.0450651
+0.0464373
+0.0478003
+0.0492213
+0.0506973
+0.05222
+0.0537876
+0.0553945
+0.0570312
+0.0587041
+0.0604101
+0.0621465
+0.0639108
+0.0657008
+0.0674796
+0.0692624
+0.0710679
+0.0728831
+0.0747172
+0.07657
+0.0784403
+0.0803267
+0.0822283
+0.0841409
+0.0860627
+0.087997
+0.0899431
+0.0918758
+0.0938141
+0.0957633
+0.0977227
+0.0996918
+0.100875
+0.101438
+0.102045
+0.102696
+0.0977647
+0.0960018
+0.0942569
+0.092531
+0.0908252
+0.0891405
+0.0874782
+0.0858397
+0.0842263
+0.0826394
+0.0810788
+0.0795459
+0.0780444
+0.0765761
+0.075143
+0.0737405
+0.0723758
+0.0710525
+0.0697728
+0.0685393
+0.0673545
+0.0658395
+0.0639996
+0.0621824
+0.06039
+0.0586247
+0.056889
+0.0551856
+0.0535147
+0.0518761
+0.0502763
+0.0487225
+0.0472178
+0.0457569
+0.0443562
+0.0430057
+0.0417049
+0.0404739
+0.0392976
+0.0381835
+0.0371654
+0.0362078
+0.035352
+0.034614
+0.0339112
+0.0333343
+0.0328916
+0.0325482
+0.0323197
+0.0322145
+0.0322542
+0.0324226
+0.0327181
+0.0331364
+0.0336832
+0.0343444
+0.0351299
+0.0360317
+0.0370004
+0.0380615
+0.0391313
+0.0402339
+0.0414189
+0.0426836
+0.0439955
+0.0453242
+0.0467179
+0.0481592
+0.0496525
+0.051196
+0.0527854
+0.0544164
+0.0560857
+0.0577894
+0.0595216
+0.0612832
+0.06305
+0.0648065
+0.0665886
+0.068381
+0.0701959
+0.0720318
+0.073887
+0.0757602
+0.0776499
+0.0795551
+0.0814715
+0.0833973
+0.0853358
+0.0872711
+0.0892019
+0.0911444
+0.093098
+0.0950618
+0.0970346
+0.098999
+0.100024
+0.100592
+0.101204
+0.10186
+0.0984465
+0.0966961
+0.094964
+0.0932512
+0.0915587
+0.0898878
+0.0882396
+0.0866155
+0.0850167
+0.0834449
+0.0819016
+0.0803882
+0.0789067
+0.0774567
+0.0760402
+0.0746546
+0.0733069
+0.0720007
+0.0707382
+0.0690724
+0.0671781
+0.0653025
+0.063447
+0.0616135
+0.0598041
+0.0580209
+0.0562666
+0.0545438
+0.0528557
+0.0512056
+0.0495897
+0.0480137
+0.0464687
+0.0449683
+0.043512
+0.0421129
+0.0407836
+0.0395239
+0.0383352
+0.0371896
+0.0361178
+0.0351499
+0.034282
+0.0335203
+0.0327998
+0.032203
+0.0317464
+0.0313896
+0.0311532
+0.0310575
+0.031098
+0.0312407
+0.0315281
+0.0319633
+0.0325234
+0.0332076
+0.0340194
+0.0349162
+0.0359053
+0.0369465
+0.0380365
+0.0391733
+0.0403659
+0.0415996
+0.0428907
+0.044246
+0.0456571
+0.0471279
+0.0486529
+0.0502271
+0.0518461
+0.0535058
+0.0552026
+0.0569332
+0.0586773
+0.060402
+0.0621561
+0.0639371
+0.0657287
+0.0675439
+0.0693808
+0.0712377
+0.0731131
+0.0750055
+0.0769138
+0.0788336
+0.0807628
+0.0827002
+0.0846218
+0.0865563
+0.0885026
+0.0904596
+0.0924241
+0.0943986
+0.0963525
+0.0983128
+0.099214
+0.0997866
+0.100404
+0.101057
+0.0991721
+0.0974347
+0.0957159
+0.0940168
+0.0923384
+0.0906818
+0.0890484
+0.0874392
+0.0858559
+0.0842997
+0.0827723
+0.0812752
+0.0798101
+0.0783789
+0.0769835
+0.0756211
+0.074291
+0.0724444
+0.0705348
+0.0686306
+0.0667239
+0.064835
+0.0629658
+0.0611179
+0.0592933
+0.0574943
+0.0557234
+0.053975
+0.0522561
+0.0505738
+0.0489316
+0.0473224
+0.0457487
+0.0442137
+0.042733
+0.0413133
+0.0399384
+0.0386334
+0.0374095
+0.0362606
+0.0351654
+0.0341757
+0.0332716
+0.0324863
+0.0317833
+0.0311482
+0.0306568
+0.0302829
+0.0300378
+0.0299513
+0.029985
+0.0301285
+0.0304264
+0.0308772
+0.0314617
+0.0321613
+0.03297
+0.0338813
+0.0348624
+0.035882
+0.036987
+0.0381115
+0.039273
+0.0405198
+0.0418442
+0.0432323
+0.0446755
+0.0461775
+0.0477328
+0.0493364
+0.0509838
+0.0526707
+0.0543935
+0.0560796
+0.0577988
+0.059549
+0.0613274
+0.0631172
+0.0649315
+0.0667683
+0.068626
+0.0705027
+0.0723972
+0.0743079
+0.0762303
+0.0781623
+0.0800795
+0.082004
+0.0839414
+0.0858874
+0.0878449
+0.0898132
+0.0917802
+0.0937337
+0.0956974
+0.0976708
+0.0984461
+0.099023
+0.0996449
+0.100266
+0.0998153
+0.0981117
+0.0964277
+0.0947645
+0.0931231
+0.0915048
+0.0899032
+0.0883097
+0.0867422
+0.0852022
+0.0836913
+0.0822109
+0.0807628
+0.0793488
+0.0779098
+0.075948
+0.0739992
+0.0720642
+0.0701443
+0.0682406
+0.0663342
+0.064432
+0.0625487
+0.060686
+0.0588459
+0.0570263
+0.0552287
+0.0534604
+0.0517245
+0.0500242
+0.0483547
+0.0467172
+0.0451132
+0.0435491
+0.0420371
+0.0405743
+0.0391734
+0.0378422
+0.0365918
+0.0354189
+0.034321
+0.0333062
+0.0323733
+0.0315458
+0.0308126
+0.0301592
+0.0296515
+0.0292712
+0.0290175
+0.0289275
+0.0289563
+0.029103
+0.0294113
+0.0298774
+0.0304468
+0.0311468
+0.0319819
+0.0329096
+0.033864
+0.0349053
+0.03596
+0.0370595
+0.038253
+0.0395319
+0.0408883
+0.0423078
+0.0437815
+0.0453132
+0.0468972
+0.0485284
+0.0502022
+0.0518597
+0.0535352
+0.0552467
+0.0569909
+0.0587608
+0.0605515
+0.0623635
+0.0641991
+0.0660563
+0.0679334
+0.0698288
+0.071741
+0.0736652
+0.0755817
+0.077494
+0.079417
+0.0813532
+0.083302
+0.0852626
+0.0872341
+0.0891886
+0.0911449
+0.0931118
+0.0950883
+0.0970741
+0.0977212
+0.0983024
+0.0989288
+0.0995174
+0.0998823
+0.0987865
+0.0971143
+0.095463
+0.0938339
+0.092228
+0.0906465
+0.0890909
+0.0875625
+0.0860627
+0.084593
+0.0831551
+0.0815906
+0.0795991
+0.0776182
+0.0756489
+0.0736921
+0.0717489
+0.0698203
+0.0679076
+0.0659873
+0.0640773
+0.062185
+0.0603112
+0.0584594
+0.0566244
+0.0548135
+0.0530314
+0.0512766
+0.049542
+0.0478449
+0.0461867
+0.044549
+0.0429605
+0.0414271
+0.0399419
+0.0385181
+0.0371633
+0.0358893
+0.0346927
+0.0335963
+0.0325224
+0.0315489
+0.0306985
+0.0299451
+0.0292979
+0.0287764
+0.0283555
+0.0280936
+0.0279978
+0.0280317
+0.0281818
+0.0284736
+0.0289227
+0.0295279
+0.0302411
+0.0310527
+0.0319779
+0.0329631
+0.0339552
+0.0349806
+0.03611
+0.0373338
+0.0386432
+0.0400297
+0.0414786
+0.0429807
+0.0445399
+0.0461505
+0.0477695
+0.0493895
+0.051052
+0.0527518
+0.054483
+0.0562463
+0.0580378
+0.0598457
+0.0616784
+0.0635338
+0.0654099
+0.0673051
+0.0692177
+0.0711293
+0.0730304
+0.0749396
+0.0768637
+0.0788017
+0.0807527
+0.0827156
+0.0846829
+0.0866302
+0.0885889
+0.0905582
+0.0925375
+0.0945202
+0.0964728
+0.0970404
+0.0976257
+0.0982563
+0.0988114
+0.0990869
+0.0982972
+0.0975503
+0.0962064
+0.09459
+0.0929971
+0.091429
+0.089887
+0.0883723
+0.0868865
+0.0853902
+0.0833764
+0.0813713
+0.0793742
+0.0773876
+0.0754123
+0.0734492
+0.0714993
+0.0695638
+0.0676368
+0.0657017
+0.0637833
+0.0618828
+0.0600022
+0.0581433
+0.0563048
+0.0544827
+0.0526716
+0.0508903
+0.0491421
+0.0474306
+0.0457372
+0.0440828
+0.0424769
+0.0409253
+0.0394213
+0.0379779
+0.0366032
+0.035309
+0.0340672
+0.0328937
+0.031826
+0.0308403
+0.0299588
+0.0291493
+0.0284856
+0.0279568
+0.0275172
+0.0272445
+0.0271154
+0.0271618
+0.0273213
+0.027638
+0.0281005
+0.0286821
+0.0293926
+0.030227
+0.031147
+0.0321028
+0.0330617
+0.034114
+0.0352711
+0.036523
+0.0378604
+0.0392746
+0.0407504
+0.0422783
+0.0438454
+0.045394
+0.0469937
+0.0486365
+0.0503186
+0.0520386
+0.0537928
+0.055578
+0.0573847
+0.0592126
+0.0610643
+0.0629378
+0.0648312
+0.0667264
+0.0686228
+0.0705182
+0.0724272
+0.0743518
+0.0762907
+0.078243
+0.0802075
+0.0821594
+0.0841081
+0.0860685
+0.0880397
+0.0900116
+0.0919723
+0.0939267
+0.0958618
+0.0964045
+0.0969937
+0.0976284
+0.0981492
+0.0983338
+0.097538
+0.0967852
+0.0960766
+0.0953871
+0.0938107
+0.0922569
+0.0907289
+0.0892285
+0.0872628
+0.0852369
+0.0832195
+0.0812104
+0.0792093
+0.0772184
+0.0752387
+0.0732623
+0.0712962
+0.0693435
+0.0674055
+0.0654725
+0.0635521
+0.0616497
+0.0597619
+0.0578917
+0.0560448
+0.0542079
+0.0523873
+0.0505839
+0.0488066
+0.0470641
+0.0453606
+0.0437004
+0.0420889
+0.040525
+0.0390036
+0.0375484
+0.0361347
+0.0347966
+0.0335071
+0.0323134
+0.0312216
+0.0302111
+0.0293089
+0.0284851
+0.0278088
+0.0272534
+0.0268041
+0.0265191
+0.0263853
+0.026433
+0.0265829
+0.026887
+0.0273636
+0.0279395
+0.0286685
+0.0295362
+0.030404
+0.031269
+0.0322598
+0.0333649
+0.0345471
+0.0358244
+0.0371869
+0.0386257
+0.0401287
+0.041592
+0.0431102
+0.0446796
+0.0462982
+0.0479622
+0.0496672
+0.051409
+0.0531839
+0.0549845
+0.0568087
+0.0586545
+0.060523
+0.0623973
+0.0642722
+0.066164
+0.0680541
+0.0699619
+0.0718857
+0.0738244
+0.0757768
+0.0777402
+0.0796766
+0.0816257
+0.0835869
+0.0855422
+0.0875021
+0.089459
+0.0914147
+0.0933808
+0.0952685
+0.0958146
+0.0964073
+0.0970096
+0.0975317
+0.097624
+0.0968224
+0.0960641
+0.09535
+0.0946813
+0.0940589
+0.0931214
+0.0912466
+0.0892036
+0.0871679
+0.0851398
+0.0831172
+0.0810941
+0.0790799
+0.0770754
+0.0750813
+0.0730985
+0.0711278
+0.0691704
+0.0672274
+0.0652888
+0.0633629
+0.0614546
+0.059561
+0.0576843
+0.0558305
+0.0539912
+0.052146
+0.0503285
+0.0485418
+0.0467895
+0.0450756
+0.0434046
+0.0417816
+0.0402125
+0.0386625
+0.0371575
+0.0357235
+0.0343694
+0.033083
+0.0318728
+0.0307447
+0.029718
+0.0288004
+0.0279617
+0.0272723
+0.0267058
+0.026247
+0.0259411
+0.0258041
+0.0257812
+0.025914
+0.0262258
+0.0267143
+0.0273136
+0.0280588
+0.0288666
+0.0296844
+0.0305698
+0.0315826
+0.0327109
+0.0339381
+0.0352374
+0.0366218
+0.0380413
+0.0394529
+0.0409268
+0.0424625
+0.0440537
+0.0456944
+0.0473797
+0.0490992
+0.0508546
+0.0526427
+0.0544601
+0.0563042
+0.0581537
+0.0600061
+0.0618758
+0.0637575
+0.0656439
+0.0675486
+0.0694702
+0.0714073
+0.0733509
+0.0753029
+0.0772381
+0.0791863
+0.0811224
+0.0830711
+0.0850316
+0.0869835
+0.0889396
+0.0909052
+0.0928794
+0.0947222
+0.0952713
+0.0958674
+0.0964346
+0.0969598
+0.0969586
+0.0961515
+0.0953878
+0.0946686
+0.0939951
+0.0933681
+0.0927885
+0.0911996
+0.0891533
+0.0871051
+0.0850641
+0.0830306
+0.0810054
+0.078989
+0.0769821
+0.0749855
+0.0730001
+0.0710267
+0.0690664
+0.0671204
+0.0651747
+0.0632446
+0.0613319
+0.0594384
+0.0575596
+0.0557016
+0.0538412
+0.0519907
+0.0501676
+0.048375
+0.0466164
+0.0448959
+0.0432179
+0.0415876
+0.0399719
+0.0384036
+0.0368881
+0.0354432
+0.034078
+0.0327673
+0.0315285
+0.0303909
+0.0293478
+0.0284218
+0.0275718
+0.0268534
+0.0262471
+0.0257594
+0.0254343
+0.0252681
+0.0252452
+0.0253921
+0.0257087
+0.0261866
+0.0267497
+0.0274764
+0.0283144
+0.0290893
+0.0299922
+0.0310239
+0.0321718
+0.0334075
+0.0347343
+0.0360751
+0.0374328
+0.0388664
+0.0403617
+0.0419175
+0.0435218
+0.0451754
+0.046873
+0.0486101
+0.0503825
+0.0521868
+0.054013
+0.055832
+0.0576769
+0.0595442
+0.0614131
+0.0632927
+0.0651824
+0.0670904
+0.0690153
+0.0709555
+0.0729099
+0.07484
+0.0767607
+0.0786954
+0.0806433
+0.0826033
+0.0845453
+0.0864983
+0.0884624
+0.0904369
+0.0924211
+0.0942236
+0.0947756
+0.0953748
+0.0959062
+0.0964343
+0.0963384
+0.095526
+0.0947573
+0.0940334
+0.0933552
+0.0927239
+0.0921403
+0.0911819
+0.0891265
+0.0870777
+0.085036
+0.0830019
+0.0809759
+0.0789587
+0.0769511
+0.0749537
+0.0729674
+0.0709931
+0.0690318
+0.0670708
+0.0651232
+0.0631915
+0.0612772
+0.059382
+0.0575078
+0.0556464
+0.0537801
+0.0519274
+0.050102
+0.048307
+0.0465458
+0.0448226
+0.0431302
+0.0414712
+0.0398422
+0.0382686
+0.0367475
+0.0352928
+0.0338794
+0.0325521
+0.0313049
+0.0301589
+0.0291073
+0.0281582
+0.0272816
+0.0265553
+0.0259065
+0.025412
+0.0250824
+0.0248844
+0.0248237
+0.0249542
+0.0252415
+0.025701
+0.0262745
+0.027009
+0.0277687
+0.0286204
+0.0295377
+0.0305847
+0.0317485
+0.0330001
+0.0342763
+0.0355678
+0.0369441
+0.0383868
+0.0398926
+0.0414594
+0.0430808
+0.0447506
+0.0464638
+0.0482156
+0.050002
+0.0517839
+0.053589
+0.055422
+0.0572739
+0.0591125
+0.0609744
+0.0628574
+0.0647599
+0.06668
+0.0686163
+0.0705558
+0.0724676
+0.074385
+0.0763171
+0.0782628
+0.0802078
+0.0821471
+0.0840987
+0.0860617
+0.0880356
+0.0900194
+0.0920127
+0.0937735
+0.0943282
+0.0949303
+0.0954252
+0.0959473
+0.0957541
+0.0949465
+0.0941736
+0.0934451
+0.0927627
+0.0921272
+0.0915399
+0.0910015
+0.0891535
+0.0871054
+0.0850643
+0.0830309
+0.0810057
+0.0789893
+0.0769824
+0.0749858
+0.0730004
+0.071027
+0.0690539
+0.0670923
+0.0651453
+0.0632143
+0.0612959
+0.0593849
+0.057494
+0.055625
+0.0537803
+0.0519449
+0.0501199
+0.0483253
+0.0465488
+0.044804
+0.0431
+0.0414417
+0.039826
+0.0382436
+0.0367218
+0.0352295
+0.0338134
+0.0324834
+0.0312338
+0.0300824
+0.0290129
+0.0280458
+0.0271655
+0.0264069
+0.0257477
+0.0251961
+0.0248263
+0.0246006
+0.0245392
+0.0246376
+0.0249262
+0.02539
+0.0259186
+0.0265787
+0.027352
+0.0282709
+0.0292361
+0.0302935
+0.0314681
+0.0326729
+0.033884
+0.0351852
+0.0365606
+0.0380125
+0.0395325
+0.0411131
+0.0427476
+0.04443
+0.0461546
+0.0478948
+0.0496481
+0.0514349
+0.0532519
+0.0550509
+0.056877
+0.058728
+0.0606017
+0.062496
+0.0644091
+0.0663262
+0.0682389
+0.0701518
+0.0720643
+0.0739921
+0.0759339
+0.0778609
+0.0797971
+0.081746
+0.083707
+0.085679
+0.0876615
+0.0896536
+0.0916548
+0.0933324
+0.0939298
+0.094507
+0.0949835
+0.095507
+0.0952074
+0.0943951
+0.093627
+0.0929042
+0.0922184
+0.0915792
+0.0909883
+0.0904466
+0.0892344
+0.0871881
+0.085149
+0.0831177
+0.0810946
+0.0790805
+0.077076
+0.0750819
+0.0730991
+0.0711168
+0.0691443
+0.067185
+0.0652259
+0.063282
+0.0613547
+0.0594456
+0.0575566
+0.0556898
+0.0538473
+0.0520318
+0.0502132
+0.0484022
+0.0466239
+0.044882
+0.043181
+0.0415065
+0.0398688
+0.0382864
+0.0367665
+0.0353022
+0.0338891
+0.0325622
+0.0313162
+0.0301368
+0.0290335
+0.0279979
+0.0271
+0.0263273
+0.0256336
+0.0250796
+0.024708
+0.0244783
+0.0244146
+0.0245111
+0.0247657
+0.0251335
+0.0256582
+0.0263242
+0.0271048
+0.0280345
+0.0290694
+0.0301327
+0.031254
+0.03237
+0.033592
+0.0349088
+0.0362979
+0.0377562
+0.0392825
+0.0408693
+0.0425098
+0.0441914
+0.0458919
+0.0476182
+0.0493812
+0.0511362
+0.052916
+0.0547256
+0.0565622
+0.0584232
+0.0603064
+0.0621948
+0.0640811
+0.0659861
+0.0678985
+0.0698038
+0.0717255
+0.0736404
+0.0755635
+0.0774996
+0.0794446
+0.081402
+0.083371
+0.0853508
+0.0873407
+0.08934
+0.0913481
+0.0928014
+0.093581
+0.0941119
+0.0945895
+0.0951152
+0.0947082
+0.0938916
+0.0931194
+0.0923926
+0.0917125
+0.0910786
+0.0904863
+0.0899416
+0.0893688
+0.0873257
+0.0852899
+0.083262
+0.0812425
+0.0792302
+0.0772216
+0.0752231
+0.0732357
+0.0712601
+0.0692794
+0.06731
+0.0653546
+0.0634146
+0.0614915
+0.0595868
+0.0577025
+0.0558405
+0.0540031
+0.0521931
+0.0503781
+0.0485733
+0.0468015
+0.0450664
+0.043342
+0.0416613
+0.0400299
+0.0384541
+0.0369411
+0.0354857
+0.0340802
+0.0327491
+0.0314414
+0.0302069
+0.0290801
+0.028062
+0.0271663
+0.0263833
+0.0256589
+0.0251054
+0.0247268
+0.0244783
+0.0243675
+0.0244264
+0.0246803
+0.0250572
+0.0255832
+0.0262349
+0.0270167
+0.0279365
+0.0288957
+0.0299525
+0.0310734
+0.0321957
+0.033424
+0.0347472
+0.0361425
+0.0376068
+0.0391389
+0.040727
+0.0423497
+0.044008
+0.0457004
+0.0474033
+0.0491244
+0.0508803
+0.0526687
+0.0544865
+0.0563309
+0.0581826
+0.0600351
+0.0619096
+0.0638043
+0.0656915
+0.0675911
+0.0695078
+0.0714078
+0.0733239
+0.075255
+0.0771989
+0.0791512
+0.0811157
+0.0830915
+0.0850778
+0.0870713
+0.0890621
+0.0910613
+0.0923194
+0.0931323
+0.0937655
+0.0942448
+0.0947723
+0.0942573
+0.0934368
+0.0926607
+0.0919304
+0.0912468
+0.0906096
+0.0900186
+0.0894774
+0.0889868
+0.0875127
+0.0854741
+0.0834433
+0.0814207
+0.079407
+0.077403
+0.0754093
+0.0734269
+0.0714469
+0.0694698
+0.0675059
+0.0655563
+0.0636225
+0.0617059
+0.059808
+0.0579308
+0.0560764
+0.0542471
+0.0524407
+0.050633
+0.0488398
+0.0470695
+0.0453152
+0.0436005
+0.0419301
+0.0403096
+0.0387452
+0.0372441
+0.0357754
+0.0343024
+0.0329011
+0.0315671
+0.0303328
+0.0292012
+0.0281685
+0.027243
+0.0264661
+0.0257568
+0.0252054
+0.0248057
+0.024558
+0.0244476
+0.0245063
+0.0247594
+0.0251466
+0.0256601
+0.0263084
+0.0270676
+0.0278998
+0.0288237
+0.0298585
+0.0309598
+0.0321699
+0.0333992
+0.0347229
+0.0361117
+0.0375746
+0.0390909
+0.0406542
+0.0422539
+0.0438713
+0.0455284
+0.0472288
+0.048956
+0.0507177
+0.0525117
+0.0543119
+0.0561241
+0.0579605
+0.0598199
+0.0616814
+0.0635498
+0.0654382
+0.0673449
+0.0692417
+0.0711488
+0.0730717
+0.0750093
+0.0769593
+0.0789175
+0.0808849
+0.0828495
+0.0848241
+0.086809
+0.0888036
+0.0908073
+0.0918871
+0.0927038
+0.093469
+0.0939499
+0.0944791
+0.0938554
+0.0930313
+0.0922519
+0.0915182
+0.0908315
+0.0901915
+0.0895977
+0.0890539
+0.0885609
+0.0877275
+0.085694
+0.0836685
+0.0816515
+0.0796437
+0.0776457
+0.0756585
+0.0736808
+0.0716984
+0.0697284
+0.067772
+0.0658304
+0.0639048
+0.0619969
+0.0601083
+0.0582408
+0.0563966
+0.0545543
+0.052728
+0.0509305
+0.0491649
+0.0474089
+0.0456677
+0.0439668
+0.0423108
+0.0406953
+0.0390985
+0.0375261
+0.0360147
+0.0345468
+0.033152
+0.0318387
+0.0305969
+0.0294402
+0.0284045
+0.0274863
+0.0266906
+0.0260068
+0.0254693
+0.0250765
+0.0248315
+0.0247223
+0.0247293
+0.0248969
+0.025226
+0.0257289
+0.0263078
+0.0270521
+0.0279169
+0.0288515
+0.0298605
+0.0309789
+0.0321332
+0.0333774
+0.0347148
+0.0361299
+0.0375918
+0.0391185
+0.0406237
+0.042181
+0.0437925
+0.0454525
+0.0471556
+0.0488854
+0.0506175
+0.0523743
+0.0541626
+0.0559796
+0.0577968
+0.0596329
+0.0614896
+0.0633637
+0.0652575
+0.0671488
+0.0690442
+0.0709565
+0.0728845
+0.0748134
+0.0767526
+0.0787023
+0.0806594
+0.0826283
+0.084608
+0.0865979
+0.0885972
+0.0906055
+0.0915052
+0.0923253
+0.0931896
+0.0937052
+0.0942357
+0.0934994
+0.0926722
+0.0918897
+0.0911531
+0.0904637
+0.0898224
+0.0892286
+0.0886825
+0.0881875
+0.0877444
+0.0859692
+0.0839503
+0.0819402
+0.0799397
+0.0779493
+0.0759653
+0.0739793
+0.0720051
+0.0700438
+0.0680965
+0.0661644
+0.0642489
+0.0623516
+0.060474
+0.0586182
+0.0567583
+0.054918
+0.0531042
+0.051313
+0.0495271
+0.0477674
+0.0460252
+0.0443227
+0.0426649
+0.0410286
+0.0394092
+0.0378436
+0.0363208
+0.0348692
+0.0334648
+0.0321391
+0.0308976
+0.0297605
+0.0287195
+0.0278122
+0.0270174
+0.0263198
+0.0257445
+0.0253461
+0.0250625
+0.024928
+0.0248869
+0.0250251
+0.0253517
+0.0258281
+0.0264048
+0.0271466
+0.0280319
+0.0289565
+0.0299674
+0.0310517
+0.0321943
+0.0334416
+0.0347802
+0.0361782
+0.0376177
+0.0391253
+0.0406568
+0.0422128
+0.0438232
+0.045482
+0.0471431
+0.0488283
+0.0505523
+0.0523113
+0.0540742
+0.0558608
+0.0576753
+0.0595152
+0.0613755
+0.0632441
+0.065112
+0.0669996
+0.0689035
+0.0708013
+0.0727155
+0.074645
+0.0765817
+0.0785305
+0.0804918
+0.0824646
+0.0844482
+0.0864417
+0.0884446
+0.090397
+0.0911744
+0.0919974
+0.0928648
+0.0935013
+0.0940331
+0.0931906
+0.0923606
+0.0915755
+0.0908364
+0.0901445
+0.0895009
+0.0889066
+0.0883626
+0.0878671
+0.0874224
+0.0862991
+0.0842882
+0.0822863
+0.0802944
+0.0783023
+0.0763142
+0.0743375
+0.0723731
+0.070422
+0.0684855
+0.0665647
+0.064661
+0.0627747
+0.0609034
+0.0590427
+0.0571919
+0.055366
+0.0535403
+0.0517263
+0.04993
+0.0481664
+0.0464391
+0.044736
+0.0430335
+0.0413766
+0.0397714
+0.0382148
+0.0367074
+0.0352583
+0.0338678
+0.0325586
+0.0313336
+0.0301902
+0.0291643
+0.0282506
+0.0274403
+0.0267099
+0.0261432
+0.0256872
+0.0253674
+0.0251721
+0.0251184
+0.0252553
+0.0255526
+0.0260226
+0.0266256
+0.0273431
+0.0281976
+0.0291751
+0.0301616
+0.0311888
+0.0323272
+0.0335695
+0.0349052
+0.0362709
+0.0377068
+0.039211
+0.0407723
+0.0423386
+0.0439297
+0.045534
+0.0471749
+0.0488591
+0.0505525
+0.0522759
+0.0540332
+0.0558212
+0.057637
+0.0594669
+0.0613006
+0.0631503
+0.065021
+0.0669073
+0.0687904
+0.0706913
+0.0726054
+0.0745295
+0.0764679
+0.0784195
+0.0803835
+0.0823589
+0.084345
+0.0863409
+0.0883461
+0.0901154
+0.0908952
+0.0917207
+0.0925907
+0.0933485
+0.0938811
+0.0929325
+0.0921001
+0.0913127
+0.0905715
+0.0898776
+0.089232
+0.0886359
+0.0880903
+0.0875961
+0.087154
+0.0866832
+0.0846813
+0.082689
+0.0806906
+0.0787018
+0.0767241
+0.0747582
+0.0728051
+0.070866
+0.0689419
+0.0670311
+0.0651349
+0.0632576
+0.0613985
+0.0595403
+0.0576904
+0.0558345
+0.0539971
+0.052187
+0.0504071
+0.0486291
+0.0468789
+0.0451621
+0.043476
+0.0418366
+0.0402496
+0.0387066
+0.0372191
+0.0357664
+0.0343864
+0.0330941
+0.0318904
+0.0307558
+0.0297178
+0.0288092
+0.0279868
+0.027271
+0.0266038
+0.0260764
+0.025722
+0.0255188
+0.0254692
+0.0256042
+0.0259057
+0.0263694
+0.0269563
+0.0276733
+0.028518
+0.0294534
+0.0304105
+0.0314338
+0.0325446
+0.0337603
+0.0350709
+0.0364479
+0.0378684
+0.0393497
+0.0408603
+0.0424304
+0.0440106
+0.0456174
+0.0472629
+0.0489061
+0.0505907
+0.0523129
+0.054069
+0.0558557
+0.0576382
+0.0594479
+0.0612822
+0.06313
+0.0649736
+0.0668381
+0.0687218
+0.0706233
+0.0725377
+0.0744636
+0.0764038
+0.0783572
+0.0803228
+0.0822999
+0.0842874
+0.0862825
+0.0882537
+0.0898836
+0.0906654
+0.091493
+0.0923651
+0.0932468
+0.09378
+0.0927183
+0.0918911
+0.0911019
+0.090359
+0.0896634
+0.0890163
+0.0884188
+0.0878718
+0.0873763
+0.0869333
+0.0865434
+0.0851239
+0.0831257
+0.0811375
+0.07916
+0.0771939
+0.0752403
+0.0733001
+0.07137
+0.069454
+0.0675547
+0.0656735
+0.0638121
+0.0619401
+0.0600613
+0.0581924
+0.0563468
+0.0545165
+0.0526887
+0.0508896
+0.0491224
+0.0473904
+0.0456888
+0.0440176
+0.0423933
+0.040822
+0.0393034
+0.0378141
+0.0363799
+0.0350148
+0.0337362
+0.032535
+0.0314143
+0.0303987
+0.0294925
+0.0285829
+0.0278012
+0.0271206
+0.0266002
+0.0262214
+0.0260215
+0.0259729
+0.0261053
+0.0264193
+0.0268907
+0.0274489
+0.0281631
+0.0289384
+0.0298147
+0.0307473
+0.0317303
+0.0328302
+0.0340358
+0.0353148
+0.0366494
+0.0380624
+0.0395135
+0.0410181
+0.0425562
+0.0441324
+0.0457593
+0.0473993
+0.0490379
+0.0507182
+0.0524362
+0.0541711
+0.0559214
+0.0577019
+0.0595097
+0.0613087
+0.0631294
+0.064973
+0.0668375
+0.0687212
+0.0706223
+0.0725333
+0.0744593
+0.0763996
+0.0783531
+0.0803189
+0.082296
+0.0842776
+0.086239
+0.0876233
+0.08903
+0.090468
+0.0913097
+0.0921836
+0.0930997
+0.0937301
+0.0925392
+0.0917134
+0.0909329
+0.0901968
+0.0895023
+0.0888541
+0.0882555
+0.0877075
+0.0872111
+0.0867672
+0.0863766
+0.0856037
+0.083617
+0.0816408
+0.0796757
+0.0777226
+0.0757772
+0.0738456
+0.0719288
+0.070028
+0.0681402
+0.066247
+0.0643727
+0.0624695
+0.0605827
+0.058717
+0.0568745
+0.0550442
+0.0532346
+0.0514546
+0.0497073
+0.0479854
+0.0462973
+0.0446484
+0.0430479
+0.0414903
+0.0399627
+0.0384989
+0.0370905
+0.0357526
+0.0344819
+0.0332999
+0.0322059
+0.031156
+0.0301383
+0.0292294
+0.0284369
+0.0277719
+0.0272601
+0.02689
+0.0266951
+0.0266477
+0.0267735
+0.0270455
+0.02749
+0.0280347
+0.028702
+0.0294497
+0.0303057
+0.0311881
+0.0321575
+0.0332432
+0.0344181
+0.0356587
+0.0369575
+0.0383365
+0.0397877
+0.0412623
+0.0427758
+0.0443452
+0.0459648
+0.0476299
+0.0492669
+0.0509396
+0.0526151
+0.0543273
+0.0560727
+0.0578267
+0.0595928
+0.0613863
+0.0632047
+0.0650462
+0.0669087
+0.0687905
+0.0706861
+0.072595
+0.0745195
+0.0764583
+0.0784103
+0.0803747
+0.0823395
+0.0837727
+0.0851675
+0.0865588
+0.0879826
+0.0894374
+0.0909217
+0.0920539
+0.0929712
+0.0937313
+0.0924117
+0.0915847
+0.0908031
+0.090068
+0.0893805
+0.0887352
+0.0881386
+0.0875928
+0.0870987
+0.0866561
+0.086265
+0.085928
+0.0841625
+0.0821979
+0.0802414
+0.0782973
+0.0763665
+0.0744502
+0.0725335
+0.0706204
+0.0687188
+0.0668056
+0.064897
+0.0630067
+0.0611365
+0.0592882
+0.057464
+0.0556532
+0.0538605
+0.0520953
+0.0503622
+0.0486589
+0.0469959
+0.045364
+0.0437706
+0.042229
+0.0407293
+0.0392923
+0.0379055
+0.0365835
+0.0353361
+0.0341837
+0.0329862
+0.0318747
+0.0308598
+0.0299601
+0.0291974
+0.0285463
+0.0280224
+0.0276625
+0.0274533
+0.0274018
+0.0274951
+0.0277567
+0.028124
+0.0286359
+0.0292835
+0.0300639
+0.0308474
+0.0317014
+0.0326559
+0.0337259
+0.034872
+0.0360837
+0.0373667
+0.0387259
+0.040135
+0.0415831
+0.0430854
+0.0446446
+0.0462551
+0.0479116
+0.0495506
+0.0511995
+0.0528667
+0.0545628
+0.0562608
+0.0579918
+0.059753
+0.0615418
+0.0633558
+0.0651929
+0.0670514
+0.0689285
+0.0708173
+0.0727228
+0.0746439
+0.0765795
+0.0785286
+0.079879
+0.0812522
+0.0826605
+0.0841024
+0.0855346
+0.0869751
+0.0884465
+0.0899472
+0.0914757
+0.0928943
+0.0937838
+0.092336
+0.0915083
+0.090726
+0.0899903
+0.0893022
+0.088663
+0.0880698
+0.0875236
+0.0870291
+0.0865872
+0.0861988
+0.0858645
+0.0847535
+0.0827994
+0.0808575
+0.0789117
+0.0769656
+0.0750329
+0.0731148
+0.0712097
+0.0692889
+0.0673795
+0.0654876
+0.0636148
+0.061763
+0.0599341
+0.0581286
+0.0563268
+0.0545491
+0.052799
+0.0510829
+0.0494044
+0.0477591
+0.0461444
+0.0445789
+0.0430666
+0.0415944
+0.0401677
+0.038799
+0.0374974
+0.0362482
+0.0349663
+0.033778
+0.0326924
+0.0316977
+0.0308252
+0.0300665
+0.0294259
+0.0289179
+0.0285345
+0.0282854
+0.0282048
+0.0282941
+0.0284954
+0.0288533
+0.0293369
+0.0299562
+0.0307079
+0.0314633
+0.0323265
+0.0332636
+0.0343146
+0.0354226
+0.0366088
+0.0378673
+0.0391906
+0.0405827
+0.0420158
+0.0435032
+0.045048
+0.0466445
+0.0482442
+0.0498583
+0.0515112
+0.05317
+0.0548253
+0.0565154
+0.0582388
+0.0599928
+0.0617746
+0.063582
+0.0654128
+0.0672651
+0.0691327
+0.0710158
+0.0729161
+0.0748263
+0.0761015
+0.0774177
+0.0787728
+0.0801649
+0.0815921
+0.0830525
+0.0845431
+0.0860035
+0.0874912
+0.089008
+0.0905523
+0.0921229
+0.0937165
+0.0923122
+0.0914843
+0.0907019
+0.0899659
+0.0892777
+0.0886383
+0.0880487
+0.087509
+0.0870145
+0.0865726
+0.0861841
+0.0858497
+0.0853715
+0.0834035
+0.0814468
+0.0795024
+0.0775711
+0.075649
+0.0737261
+0.071815
+0.069911
+0.0680191
+0.0661455
+0.0642919
+0.0624602
+0.0606523
+0.0588459
+0.0570594
+0.0553019
+0.0535765
+0.0518861
+0.0502311
+0.0485998
+0.047014
+0.0454779
+0.0439813
+0.0425353
+0.0411288
+0.0397827
+0.0384164
+0.0370926
+0.0358484
+0.0346872
+0.0336075
+0.0326392
+0.0317925
+0.03105
+0.0303832
+0.0298519
+0.0294514
+0.0292101
+0.0291044
+0.0291591
+0.0293504
+0.0296883
+0.0301604
+0.0307705
+0.0314733
+0.0322108
+0.0330614
+0.0339796
+0.0349797
+0.0360616
+0.037241
+0.0384665
+0.0397495
+0.0410955
+0.0425005
+0.0439698
+0.0454972
+0.047077
+0.0486523
+0.0502597
+0.0518999
+0.0535117
+0.0551581
+0.0568413
+0.058558
+0.0603054
+0.062081
+0.0638821
+0.065705
+0.0675482
+0.0694052
+0.0712486
+0.072458
+0.0737094
+0.0750036
+0.0763387
+0.0777127
+0.0791234
+0.080569
+0.0820477
+0.0835562
+0.0850772
+0.0865808
+0.0881133
+0.089673
+0.0912587
+0.0928672
+0.0923404
+0.0915128
+0.0907306
+0.0899949
+0.0893069
+0.0886676
+0.0880783
+0.0875398
+0.0870531
+0.0866134
+0.0862251
+0.0858909
+0.0856091
+0.0840197
+0.0820778
+0.0801387
+0.0782035
+0.0762821
+0.0743755
+0.0724816
+0.0705944
+0.0687217
+0.0668683
+0.0650356
+0.0632256
+0.061415
+0.0596249
+0.0578625
+0.0561302
+0.054431
+0.052768
+0.0511251
+0.0495232
+0.0479655
+0.0464447
+0.0449764
+0.0435502
+0.042104
+0.0406886
+0.0393193
+0.038027
+0.0368197
+0.0356845
+0.0346358
+0.033697
+0.0328193
+0.0320429
+0.0313961
+0.0308604
+0.0304709
+0.030208
+0.0301017
+0.0301546
+0.0303396
+0.0306548
+0.0311122
+0.0317033
+0.0323441
+0.0330745
+0.033851
+0.0347285
+0.0357102
+0.0367962
+0.0379363
+0.0391111
+0.0403707
+0.0416979
+0.0430832
+0.0445333
+0.046042
+0.0475757
+0.0491422
+0.0507337
+0.0523473
+0.0539403
+0.055574
+0.0572449
+0.0589499
+0.0606861
+0.0624508
+0.0642418
+0.0660569
+0.0678133
+0.0689474
+0.0701317
+0.0713636
+0.0726407
+0.0739543
+0.075308
+0.0767005
+0.0781295
+0.0795932
+0.0810896
+0.0826156
+0.0841656
+0.0857168
+0.0872644
+0.0888391
+0.0904394
+0.0920621
+0.0924133
+0.0915937
+0.0908121
+0.0900771
+0.0893897
+0.0887511
+0.0881623
+0.0876243
+0.0871381
+0.0867046
+0.0863217
+0.0859878
+0.0857064
+0.0846738
+0.0827286
+0.080796
+0.0788769
+0.0769723
+0.0750832
+0.0731977
+0.0713263
+0.0694737
+0.0676413
+0.0658308
+0.0640297
+0.062239
+0.0604734
+0.0587364
+0.0570307
+0.0553591
+0.0537104
+0.0520959
+0.0505197
+0.0489777
+0.0474696
+0.0459562
+0.0444787
+0.0430577
+0.0416576
+0.0403212
+0.039062
+0.0378864
+0.0367621
+0.0357164
+0.0347548
+0.0339038
+0.0331428
+0.0324883
+0.0319605
+0.0315573
+0.0313026
+0.0312
+0.031251
+0.0314457
+0.0317433
+0.0321422
+0.032665
+0.0332823
+0.0339624
+0.0347168
+0.0355729
+0.0365319
+0.0375943
+0.0386882
+0.0398427
+0.0410817
+0.0423914
+0.043767
+0.0451961
+0.0466535
+0.0481571
+0.0496958
+0.0512611
+0.0528555
+0.0544502
+0.0560725
+0.057729
+0.05942
+0.0611429
+0.0628945
+0.0645651
+0.0656092
+0.0667089
+0.0678615
+0.0690645
+0.0703151
+0.0716108
+0.0729494
+0.0743276
+0.0757381
+0.0771849
+0.0786662
+0.0801799
+0.0817229
+0.0832895
+0.0848837
+0.0864627
+0.0880517
+0.0896661
+0.0913026
+0.0925252
+0.0917195
+0.0909464
+0.0902125
+0.0895261
+0.0888885
+0.0883006
+0.0877635
+0.0872781
+0.0868452
+0.0864657
+0.0861393
+0.0858577
+0.0853524
+0.083423
+0.0815069
+0.0796049
+0.0777181
+0.0758379
+0.0739685
+0.0721172
+0.0702854
+0.0684747
+0.0666743
+0.0648957
+0.0631284
+0.0613883
+0.059678
+0.058
+0.0563474
+0.054723
+0.0531295
+0.0515568
+0.0499919
+0.0484394
+0.0469379
+0.0454923
+0.0440834
+0.0427155
+0.041403
+0.0401535
+0.0389706
+0.0378592
+0.036827
+0.0358916
+0.0350511
+0.0342933
+0.0336613
+0.0331393
+0.0327506
+0.0325053
+0.0324065
+0.0324335
+0.0326001
+0.032854
+0.0332256
+0.0337186
+0.0343072
+0.034963
+0.0356962
+0.0365294
+0.0374531
+0.0384418
+0.0395151
+0.0406548
+0.0418697
+0.0431617
+0.0445191
+0.045912
+0.0473418
+0.0488048
+0.0503207
+0.0518733
+0.053417
+0.0549955
+0.0566148
+0.0582714
+0.0599429
+0.0615296
+0.062477
+0.0634798
+0.0645415
+0.0656591
+0.0668298
+0.068051
+0.0693199
+0.0706339
+0.0719907
+0.0733877
+0.0748167
+0.076281
+0.0777794
+0.0793101
+0.0808712
+0.0824609
+0.0840722
+0.0857079
+0.0873122
+0.08894
+0.0905896
+0.0926888
+0.0918845
+0.0911258
+0.0904007
+0.0897158
+0.0890796
+0.088493
+0.087957
+0.0874727
+0.0870408
+0.0866621
+0.0863374
+0.0860608
+0.0858349
+0.0841688
+0.08227
+0.0803861
+0.0785116
+0.0766448
+0.0747956
+0.0729653
+0.0711554
+0.0693564
+0.0675776
+0.0658221
+0.0640803
+0.0623668
+0.0606841
+0.0590292
+0.057386
+0.0557704
+0.05417
+0.0525584
+0.05099
+0.0494688
+0.0479977
+0.0465571
+0.0451438
+0.0437945
+0.0425145
+0.0412903
+0.0401269
+0.0390333
+0.038026
+0.0371029
+0.0362558
+0.0355237
+0.034914
+0.0344158
+0.0340416
+0.0338008
+0.0336782
+0.0336979
+0.0338111
+0.0340474
+0.0343718
+0.0347851
+0.0353297
+0.0359872
+0.0367505
+0.0375538
+0.0384152
+0.0393797
+0.0404264
+0.0415529
+0.0427466
+0.0440039
+0.0453186
+0.0466793
+0.0480823
+0.0495234
+0.0510145
+0.0525297
+0.0540616
+0.0556218
+0.0572234
+0.0587118
+0.0595574
+0.0604627
+0.0614269
+0.0624521
+0.0635314
+0.0646665
+0.0658549
+0.0670938
+0.0683804
+0.0697122
+0.0710865
+0.072501
+0.0739471
+0.0754283
+0.0769434
+0.0784903
+0.0800674
+0.0816727
+0.0833047
+0.0849608
+0.0866218
+0.0882624
+0.0899244
+0.0928972
+0.0921013
+0.0913444
+0.0906342
+0.0899569
+0.0893224
+0.0887373
+0.0882029
+0.0877199
+0.0872892
+0.0869117
+0.0865879
+0.0863185
+0.0860938
+0.0849644
+0.0830838
+0.0812155
+0.0793519
+0.0775053
+0.0756771
+0.0738686
+0.0720718
+0.0702935
+0.068539
+0.0668074
+0.065092
+0.0634059
+0.0617334
+0.060075
+0.0584482
+0.0567891
+0.0551671
+0.0535857
+0.0520484
+0.0505593
+0.0490888
+0.0476498
+0.0462699
+0.044954
+0.043689
+0.0424971
+0.041354
+0.0402741
+0.0392755
+0.038352
+0.0375331
+0.0368264
+0.0362381
+0.0357489
+0.035388
+0.0351365
+0.0350186
+0.0349702
+0.0350244
+0.0352108
+0.0355268
+0.0359269
+0.0364514
+0.0370761
+0.0378174
+0.0386092
+0.0394475
+0.0403874
+0.0414056
+0.042508
+0.0436914
+0.0449308
+0.0461998
+0.0475353
+0.0489017
+0.0503196
+0.0517818
+0.0532599
+0.0547774
+0.0561443
+0.0568611
+0.0576507
+0.0585116
+0.0594408
+0.0604288
+0.0614717
+0.062574
+0.0637323
+0.0649392
+0.0661952
+0.067499
+0.0688478
+0.0702391
+0.0716703
+0.0731328
+0.0746302
+0.0761611
+0.0777237
+0.0793159
+0.0809362
+0.0825828
+0.0842541
+0.0859461
+0.0876343
+0.089308
+0.0931432
+0.092353
+0.0916083
+0.0908954
+0.0902245
+0.089599
+0.0890158
+0.088483
+0.0880015
+0.0875722
+0.0871959
+0.0868732
+0.0866047
+0.086391
+0.0858086
+0.0839467
+0.0820866
+0.0802431
+0.0784176
+0.0766111
+0.074817
+0.0730398
+0.0712856
+0.0695561
+0.0678493
+0.0661579
+0.0644644
+0.0628016
+0.0611145
+0.0594492
+0.0578188
+0.0562266
+0.0546758
+0.05317
+0.0516821
+0.0502219
+0.0488164
+0.0474703
+0.0461709
+0.0449336
+0.0437325
+0.0425927
+0.0415372
+0.0405726
+0.0396828
+0.0388919
+0.0382104
+0.0376343
+0.0371634
+0.0367955
+0.0365117
+0.0363218
+0.0362408
+0.0362889
+0.0364688
+0.0367687
+0.0371534
+0.0376394
+0.0382446
+0.0389341
+0.0397154
+0.0405415
+0.0414573
+0.0424508
+0.0435157
+0.0446526
+0.045866
+0.0471275
+0.0484376
+0.0497911
+0.0511731
+0.0525806
+0.0538997
+0.05447
+0.0551215
+0.0558509
+0.0566544
+0.0575303
+0.0584751
+0.0594856
+0.0605523
+0.061671
+0.0628462
+0.0640747
+0.0653536
+0.066678
+0.068043
+0.0694504
+0.0708975
+0.0723757
+0.0738884
+0.0754344
+0.0770117
+0.0786184
+0.0802527
+0.081913
+0.0835978
+0.0853028
+0.0870289
+0.0887414
+0.09344
+0.0926523
+0.09191
+0.0911996
+0.090531
+0.0899108
+0.08934
+0.0888163
+0.0883366
+0.087909
+0.0875341
+0.0872126
+0.0869452
+0.0867323
+0.0865743
+0.0848462
+0.0830063
+0.0811837
+0.0793798
+0.0775846
+0.0758087
+0.0740551
+0.0723253
+0.0706197
+0.0689225
+0.0672272
+0.0655119
+0.0638196
+0.0621498
+0.0605129
+0.0589121
+0.0573502
+0.0558306
+0.0543078
+0.0528291
+0.0514013
+0.0500287
+0.048716
+0.0474129
+0.0461731
+0.0450048
+0.0438981
+0.0428747
+0.041941
+0.0410874
+0.0403241
+0.0396595
+0.039077
+0.0385757
+0.0381632
+0.0378551
+0.037672
+0.0375922
+0.0376386
+0.037812
+0.0380732
+0.0384254
+0.0388952
+0.0394526
+0.0401049
+0.0408499
+0.0416857
+0.0425871
+0.0435481
+0.0445884
+0.0456986
+0.0468676
+0.048099
+0.0493673
+0.0506906
+0.0520207
+0.0524286
+0.0529242
+0.0535048
+0.054168
+0.0549094
+0.0557265
+0.0566167
+0.0575765
+0.0586025
+0.0596914
+0.060832
+0.0620231
+0.0632676
+0.0645625
+0.0659048
+0.0672916
+0.0687203
+0.0701847
+0.0716775
+0.0732047
+0.0747648
+0.0763559
+0.0779762
+0.0796237
+0.0812969
+0.0829941
+0.0847113
+0.0864492
+0.0882073
+0.093787
+0.0930022
+0.0922628
+0.0915553
+0.0908893
+0.0902715
+0.089703
+0.0891848
+0.0887176
+0.0882988
+0.0879255
+0.0876055
+0.0873393
+0.0871273
+0.0869701
+0.0857923
+0.0839731
+0.0821604
+0.0803647
+0.0785891
+0.076835
+0.0751037
+0.073397
+0.0717143
+0.0699678
+0.0682462
+0.0665521
+0.064886
+0.0632441
+0.0616363
+0.0600653
+0.0585053
+0.0569671
+0.0554728
+0.0540261
+0.0526307
+0.0512905
+0.0499603
+0.0486878
+0.0474814
+0.0463459
+0.0452719
+0.0442803
+0.0433605
+0.0425212
+0.0417602
+0.0410617
+0.0404666
+0.0399828
+0.0395711
+0.0392741
+0.0390972
+0.0390198
+0.0390645
+0.039189
+0.0394206
+0.0397481
+0.0401793
+0.0407239
+0.0413457
+0.0420595
+0.0428695
+0.043758
+0.04472
+0.0457275
+0.0467908
+0.0479306
+0.0491302
+0.0503571
+0.0507658
+0.0511033
+0.0515185
+0.0520226
+0.0526133
+0.0532874
+0.0540403
+0.0548704
+0.0557743
+0.0567483
+0.0577891
+0.0588929
+0.0600564
+0.0612673
+0.0625269
+0.0638368
+0.065194
+0.0665956
+0.068039
+0.0695203
+0.0710279
+0.0725699
+0.0741446
+0.07575
+0.0773841
+0.079045
+0.0807309
+0.0824398
+0.0841711
+0.0859214
+0.0876901
+0.0941837
+0.0934023
+0.092666
+0.0919617
+0.0912987
+0.0906837
+0.0901178
+0.089602
+0.089137
+0.0887236
+0.0883626
+0.0880512
+0.0877863
+0.0875754
+0.087419
+0.086766
+0.0849547
+0.0831617
+0.0813881
+0.0796354
+0.0779048
+0.0761978
+0.0744793
+0.0727325
+0.0710103
+0.0693146
+0.0676473
+0.0660076
+0.0643943
+0.0627996
+0.0612168
+0.0596679
+0.0581603
+0.0566973
+0.0552824
+0.0539095
+0.0525533
+0.0512549
+0.0500164
+0.0488428
+0.0477409
+0.0466993
+0.0457152
+0.0447936
+0.0439421
+0.0431751
+0.0424967
+0.0419219
+0.0414432
+0.0410477
+0.0407614
+0.0405882
+0.0405045
+0.0405025
+0.0405954
+0.040803
+0.0411066
+0.0415237
+0.0420419
+0.0426524
+0.0433273
+0.0440951
+0.0449455
+0.045857
+0.0468534
+0.0479293
+0.049004
+0.0494904
+0.0496484
+0.0499022
+0.0502444
+0.0506727
+0.0511852
+0.0517854
+0.0524702
+0.0532365
+0.0540807
+0.0549992
+0.0559884
+0.0570447
+0.0581643
+0.0593433
+0.0605779
+0.0618549
+0.0631788
+0.0645498
+0.0659651
+0.0674219
+0.0689176
+0.0704395
+0.0719942
+0.0735812
+0.0751986
+0.0768444
+0.0785168
+0.0802138
+0.0819335
+0.0836752
+0.0854376
+0.0872194
+0.0946243
+0.0938465
+0.0931138
+0.0924183
+0.0917586
+0.0911467
+0.0905837
+0.0900705
+0.089608
+0.0891968
+0.0888378
+0.0885315
+0.0882786
+0.0880758
+0.0879202
+0.0877694
+0.0859793
+0.0842081
+0.0824571
+0.0807275
+0.0790208
+0.0772689
+0.0755231
+0.073801
+0.0721044
+0.070435
+0.0687946
+0.0671628
+0.0655447
+0.0639512
+0.0623933
+0.0608743
+0.0593973
+0.0579656
+0.0565662
+0.0551915
+0.0538676
+0.0526016
+0.0513955
+0.0502541
+0.0491517
+0.0481064
+0.0471293
+0.0462179
+0.0453931
+0.044641
+0.0439852
+0.0434223
+0.0429502
+0.0425858
+0.0422982
+0.0421096
+0.0419758
+0.0419511
+0.0420408
+0.0422413
+0.0425256
+0.0428942
+0.0433387
+0.0438882
+0.0445388
+0.0452862
+0.0461255
+0.0470231
+0.0479953
+0.0486737
+0.0486374
+0.0486997
+0.0488577
+0.0491059
+0.0494499
+0.0498879
+0.0504174
+0.0510331
+0.051728
+0.052505
+0.0533608
+0.0542915
+0.0552934
+0.0563627
+0.0574956
+0.0586884
+0.0599376
+0.0612397
+0.0625869
+0.0639742
+0.065402
+0.066871
+0.0683787
+0.0699149
+0.071481
+0.0730792
+0.0747074
+0.0763638
+0.0780465
+0.0797535
+0.0814829
+0.083234
+0.0850056
+0.0867962
+0.0951056
+0.0943318
+0.0936029
+0.0929199
+0.0922682
+0.0916598
+0.0911
+0.0905897
+0.0901298
+0.089721
+0.0893641
+0.0890596
+0.0888082
+0.0886102
+0.088466
+0.0883655
+0.087047
+0.085298
+0.0835698
+0.0818471
+0.0800812
+0.0783368
+0.0766153
+0.0749184
+0.0732476
+0.0715952
+0.0699428
+0.0683172
+0.0667174
+0.0651519
+0.0636234
+0.0621346
+0.0606866
+0.0592543
+0.0578694
+0.0565293
+0.0552375
+0.0540036
+0.0527958
+0.0516494
+0.0505607
+0.0495381
+0.0485753
+0.0476916
+0.0468905
+0.0461628
+0.0455263
+0.0449697
+0.044514
+0.044136
+0.0438274
+0.0436197
+0.0434857
+0.0434596
+0.0435149
+0.0436688
+0.0439003
+0.0442263
+0.0446576
+0.0451911
+0.0458232
+0.0465329
+0.0473181
+0.0481847
+0.0480908
+0.0479541
+0.0479173
+0.0479805
+0.0481401
+0.048392
+0.0487411
+0.0491854
+0.0497223
+0.0503489
+0.0510619
+0.0518559
+0.0527222
+0.053664
+0.0546774
+0.0557585
+0.0569034
+0.0581084
+0.0593698
+0.0606841
+0.0620433
+0.0634451
+0.0648906
+0.0663769
+0.0679014
+0.0694527
+0.0710317
+0.0726397
+0.0742776
+0.0759434
+0.0776352
+0.079351
+0.081089
+0.0828485
+0.0846281
+0.0861766
+0.0956346
+0.0948651
+0.0941403
+0.0934613
+0.0928255
+0.0922214
+0.091665
+0.0911579
+0.0907009
+0.0902947
+0.0899401
+0.0896376
+0.0893877
+0.0891911
+0.0890478
+0.0889584
+0.0881562
+0.0864296
+0.0846773
+0.0829139
+0.0811712
+0.0794508
+0.077754
+0.0760824
+0.0744032
+0.0727486
+0.071116
+0.0695116
+0.0679399
+0.0664033
+0.0649034
+0.063415
+0.0619683
+0.0605663
+0.0592122
+0.0579093
+0.056623
+0.0553826
+0.0542024
+0.0530823
+0.0520171
+0.051012
+0.0500755
+0.0492187
+0.0484336
+0.0477294
+0.0471064
+0.0465687
+0.0460734
+0.045673
+0.0453748
+0.0451338
+0.0449699
+0.0449057
+0.0449414
+0.0450699
+0.045304
+0.045624
+0.0460392
+0.0465387
+0.0471295
+0.0478057
+0.04804
+0.0477025
+0.0474636
+0.0473251
+0.0472877
+0.0473518
+0.0475128
+0.047768
+0.0481216
+0.0485716
+0.0491152
+0.0497494
+0.0504709
+0.0512758
+0.0521604
+0.0531195
+0.0541431
+0.0552346
+0.0563902
+0.0576059
+0.058878
+0.0602031
+0.0615729
+0.0629852
+0.064441
+0.0659375
+0.0674719
+0.0690417
+0.0706402
+0.0722638
+0.0739103
+0.0755841
+0.0772838
+0.0790073
+0.0807527
+0.0825193
+0.0841022
+0.0855879
+0.0962107
+0.0954458
+0.0947255
+0.0940504
+0.0934121
+0.0928212
+0.0922692
+0.0917654
+0.0913114
+0.0909079
+0.0905557
+0.0902553
+0.0900072
+0.0898118
+0.0896696
+0.0895808
+0.0893053
+0.0875258
+0.0857649
+0.0840243
+0.0823052
+0.0806089
+0.0789146
+0.0772303
+0.0755716
+0.0739387
+0.0723305
+0.0707536
+0.0692088
+0.0676746
+0.066176
+0.0647169
+0.0632999
+0.0619281
+0.0605932
+0.0592791
+0.0580133
+0.0568033
+0.0556532
+0.0545594
+0.0535171
+0.0525339
+0.051625
+0.050792
+0.0500252
+0.049338
+0.0486868
+0.0481138
+0.0476301
+0.0472053
+0.0468696
+0.0466116
+0.0464464
+0.0463805
+0.0464017
+0.0465235
+0.0467305
+0.0470328
+0.0474207
+0.0479058
+0.0484773
+0.0479473
+0.0475124
+0.0471719
+0.0469304
+0.0467902
+0.0467525
+0.0468173
+0.0469794
+0.0472374
+0.047595
+0.0480499
+0.0485993
+0.0492402
+0.049969
+0.0507819
+0.051675
+0.0526441
+0.0536822
+0.0547829
+0.0559478
+0.0571729
+0.0584545
+0.0597889
+0.0611727
+0.0625986
+0.0640632
+0.0655683
+0.0671112
+0.0686892
+0.0703002
+0.0719416
+0.0736033
+0.0752869
+0.0769932
+0.078723
+0.0804746
+0.0820892
+0.0835523
+0.0850466
+0.0968328
+0.0960729
+0.0953573
+0.0946801
+0.0940462
+0.0934592
+0.0929202
+0.0924208
+0.09197
+0.0915694
+0.0912198
+0.0909215
+0.0906752
+0.0904813
+0.0903402
+0.090252
+0.0902169
+0.0886325
+0.0868941
+0.0851766
+0.0834644
+0.081756
+0.0800712
+0.0784114
+0.0767782
+0.0751656
+0.0735716
+0.072009
+0.070473
+0.0689657
+0.0674957
+0.0660657
+0.0646784
+0.0633057
+0.0619718
+0.0606876
+0.0594518
+0.0582716
+0.0571497
+0.0560761
+0.055057
+0.0541018
+0.0532197
+0.0523911
+0.0515927
+0.0508761
+0.0502408
+0.0496503
+0.0491362
+0.0487153
+0.0483824
+0.0481236
+0.0479636
+0.0478948
+0.0478958
+0.047997
+0.0481976
+0.048485
+0.0488614
+0.0486821
+0.0480546
+0.0475198
+0.047081
+0.0467381
+0.0464943
+0.0463529
+0.0463148
+0.0463802
+0.046543
+0.0468035
+0.0471643
+0.0476233
+0.0481777
+0.0488241
+0.049559
+0.0503785
+0.0512786
+0.0522551
+0.0533007
+0.0544092
+0.0555819
+0.0568149
+0.0581044
+0.0594467
+0.0608382
+0.0622757
+0.0637561
+0.0652706
+0.0668203
+0.0684051
+0.0700226
+0.0716705
+0.0733469
+0.0750453
+0.0767636
+0.0784989
+0.0801444
+0.0815836
+0.0830556
+0.0845587
+0.0975003
+0.0967456
+0.0960314
+0.0953561
+0.0947266
+0.0941439
+0.0936089
+0.0931223
+0.0926757
+0.0922782
+0.0919312
+0.0916353
+0.0913909
+0.0911986
+0.0910585
+0.090971
+0.0909362
+0.0897791
+0.0880471
+0.0863181
+0.0846106
+0.0829248
+0.0812582
+0.079617
+0.077998
+0.0764003
+0.0748327
+0.0732956
+0.0717806
+0.0703013
+0.0688599
+0.0674472
+0.0660522
+0.0647007
+0.0633962
+0.0621415
+0.0609351
+0.0597826
+0.0586754
+0.0576303
+0.0566397
+0.0556896
+0.054783
+0.0539311
+0.0531474
+0.0524323
+0.0517674
+0.0511819
+0.0506834
+0.0502754
+0.0499343
+0.0496836
+0.0495133
+0.0494185
+0.0494196
+0.0495176
+0.0497103
+0.0498893
+0.049082
+0.0483605
+0.0477287
+0.0471903
+0.0467484
+0.0464038
+0.0461582
+0.0460158
+0.0459774
+0.0460433
+0.0462065
+0.0464689
+0.0468323
+0.0472945
+0.0478527
+0.0485034
+0.0492431
+0.0500678
+0.0509734
+0.0519556
+0.0530072
+0.0541216
+0.0553004
+0.0565396
+0.0578352
+0.0591836
+0.0605812
+0.0620247
+0.0635109
+0.065037
+0.0666002
+0.0681902
+0.0698127
+0.0714655
+0.0731465
+0.0748539
+0.0765855
+0.078274
+0.0796867
+0.081134
+0.082614
+0.084125
+0.0982121
+0.0974624
+0.0967475
+0.0960772
+0.0954525
+0.0948742
+0.0943433
+0.0938606
+0.0934267
+0.0930332
+0.092689
+0.0923955
+0.0921532
+0.0919624
+0.0918235
+0.0917367
+0.0917022
+0.0908992
+0.0891717
+0.087465
+0.0857769
+0.0841098
+0.0824672
+0.0808499
+0.0792492
+0.0776772
+0.0761359
+0.074618
+0.0731304
+0.0716764
+0.070237
+0.0688286
+0.0674616
+0.0661389
+0.0648633
+0.0636341
+0.0624562
+0.0613211
+0.0602422
+0.0591883
+0.058174
+0.0572242
+0.0563227
+0.0554838
+0.0547011
+0.0539753
+0.0533292
+0.0527601
+0.0522766
+0.0518666
+0.0515142
+0.0512531
+0.051081
+0.0509879
+0.0509889
+0.0510779
+0.0505651
+0.0496723
+0.0488614
+0.0481365
+0.0475018
+0.0469608
+0.0465167
+0.0461711
+0.0459243
+0.0457811
+0.0457425
+0.0458088
+0.0459721
+0.0462358
+0.046601
+0.0470655
+0.0476263
+0.0482801
+0.0490232
+0.0498515
+0.0507609
+0.0517472
+0.0528029
+0.0539216
+0.0551047
+0.0563482
+0.0576481
+0.0590007
+0.0604025
+0.0618502
+0.0633405
+0.0648707
+0.0664378
+0.0680393
+0.0696711
+0.0713271
+0.0730114
+0.0747219
+0.0764569
+0.0778669
+0.0792869
+0.0807413
+0.0822284
+0.0837464
+0.0989672
+0.0982169
+0.0975075
+0.0968425
+0.0962227
+0.0956492
+0.0951226
+0.0946438
+0.0942136
+0.0938325
+0.093492
+0.093201
+0.0929608
+0.0927717
+0.092634
+0.092548
+0.0925138
+0.0920411
+0.0903352
+0.0886456
+0.0869782
+0.0853346
+0.083716
+0.0821161
+0.0805405
+0.0789943
+0.0774753
+0.0759806
+0.0745011
+0.0730517
+0.0716313
+0.0702505
+0.0689118
+0.0676175
+0.0663678
+0.0651656
+0.0639749
+0.0628354
+0.0617483
+0.0607111
+0.0597191
+0.0587779
+0.0578917
+0.0570479
+0.0562671
+0.0555618
+0.0549265
+0.0543626
+0.0538819
+0.0534556
+0.0531137
+0.0528511
+0.0526701
+0.0525799
+0.0524503
+0.0514176
+0.0504462
+0.0495512
+0.0487383
+0.0480116
+0.0473752
+0.0468327
+0.0463874
+0.0460416
+0.0457941
+0.0456505
+0.0456118
+0.0456782
+0.0458413
+0.0461057
+0.0464719
+0.0469377
+0.0475
+0.0481556
+0.0489005
+0.0497309
+0.0506425
+0.051631
+0.052689
+0.0538101
+0.0549956
+0.0562415
+0.0575438
+0.0588988
+0.060303
+0.061753
+0.0632456
+0.064778
+0.0663473
+0.067951
+0.0695867
+0.0712522
+0.0729418
+0.0746539
+0.0761298
+0.0775197
+0.0789459
+0.0804065
+0.0818997
+0.0834236
+0.0997587
+0.0990142
+0.0983105
+0.097651
+0.0970364
+0.0964676
+0.0959456
+0.0954709
+0.0950444
+0.0946667
+0.0943383
+0.0940507
+0.0938126
+0.0936252
+0.0934888
+0.0934036
+0.0933697
+0.0932181
+0.0915292
+0.089862
+0.0882176
+0.0865973
+0.0849992
+0.0834206
+0.0818701
+0.0803495
+0.0788389
+0.0773467
+0.0758882
+0.0744575
+0.0730644
+0.0717113
+0.0704003
+0.0691062
+0.0678462
+0.0666289
+0.0654622
+0.064349
+0.0632871
+0.0622618
+0.0612914
+0.0603622
+0.0594636
+0.0586332
+0.0578668
+0.0571642
+0.0565378
+0.0559881
+0.0554892
+0.0550731
+0.0547319
+0.0544691
+0.0542936
+0.0535301
+0.0524272
+0.0513941
+0.0504223
+0.0495268
+0.0487135
+0.0479864
+0.0473496
+0.0468067
+0.0463608
+0.0460149
+0.0457684
+0.0456248
+0.045586
+0.0456525
+0.0458149
+0.0460795
+0.0464459
+0.046912
+0.0474746
+0.0481305
+0.0488758
+0.0497066
+0.0506186
+0.0516076
+0.0526661
+0.0537876
+0.0549736
+0.05622
+0.0575228
+0.0588783
+0.060283
+0.0617334
+0.0632266
+0.0647594
+0.0663291
+0.0679332
+0.0695693
+0.0712353
+0.072929
+0.0744794
+0.0758379
+0.077233
+0.0786644
+0.0801302
+0.0816284
+0.0831573
+0.100591
+0.0998531
+0.0991554
+0.0985015
+0.0978923
+0.0973286
+0.0968111
+0.0963407
+0.0959181
+0.0955438
+0.0952185
+0.0949426
+0.0947075
+0.0945219
+0.0943867
+0.0943023
+0.0942688
+0.0942861
+0.0927595
+0.0911148
+0.0894927
+0.0878939
+0.0863158
+0.0847616
+0.0832362
+0.0817097
+0.0802111
+0.0787444
+0.0773045
+0.075898
+0.0745028
+0.0731466
+0.0718317
+0.0705548
+0.0693197
+0.0681287
+0.0669882
+0.0658965
+0.0648363
+0.0638338
+0.0628619
+0.0619223
+0.0610469
+0.0602344
+0.0594791
+0.0587958
+0.0581663
+0.057603
+0.0571183
+0.0567141
+0.0563778
+0.0559924
+0.0547641
+0.0535971
+0.0524957
+0.051452
+0.0504791
+0.049584
+0.0487709
+0.048044
+0.0474072
+0.0468644
+0.0464186
+0.0460728
+0.0458276
+0.0456841
+0.0456454
+0.0457118
+0.0458779
+0.0461459
+0.0465157
+0.0469848
+0.0475498
+0.048205
+0.0489492
+0.0497788
+0.0506895
+0.0516771
+0.0527343
+0.0538544
+0.0550389
+0.0562838
+0.0575852
+0.0589393
+0.0603425
+0.0617916
+0.0632833
+0.0648148
+0.0663832
+0.0679861
+0.069621
+0.0712857
+0.0728949
+0.0742285
+0.0755997
+0.0769992
+0.0784349
+0.0799048
+0.0814072
+0.0829402
+0.101465
+0.100733
+0.100041
+0.0993931
+0.0987894
+0.0982308
+0.0977181
+0.0972521
+0.0968334
+0.0964627
+0.0961405
+0.0958672
+0.0956434
+0.0954604
+0.0953266
+0.095243
+0.0952097
+0.0952269
+0.0939948
+0.0923922
+0.0908008
+0.0892245
+0.087665
+0.0861097
+0.0845824
+0.0830805
+0.0816071
+0.0801352
+0.0786932
+0.0772864
+0.0759168
+0.0745863
+0.0732928
+0.0720395
+0.0708303
+0.0696652
+0.0685401
+0.0674504
+0.066415
+0.0654002
+0.0644231
+0.0635066
+0.0626508
+0.0618483
+0.0611009
+0.0604214
+0.0598027
+0.059255
+0.0587839
+0.0583885
+0.0574239
+0.0561414
+0.0549163
+0.0537523
+0.0526403
+0.0515968
+0.0506267
+0.0497342
+0.0489236
+0.048199
+0.0475644
+0.0470233
+0.0465791
+0.0462345
+0.0459895
+0.0458465
+0.0458079
+0.0458741
+0.0460402
+0.0463073
+0.0466758
+0.0471433
+0.047707
+0.0483633
+0.0491088
+0.0499392
+0.0508506
+0.0518383
+0.0528931
+0.05401
+0.0551912
+0.0564327
+0.0577307
+0.0590815
+0.0604814
+0.0619272
+0.0634158
+0.0649441
+0.0665095
+0.0681094
+0.0697414
+0.0714033
+0.0727046
+0.0740416
+0.0754131
+0.076816
+0.078255
+0.0797283
+0.0812339
+0.0827701
+0.102377
+0.101651
+0.100966
+0.100324
+0.0997259
+0.0991726
+0.0986648
+0.0982033
+0.0977887
+0.0974216
+0.0971026
+0.096832
+0.0966104
+0.0964345
+0.096302
+0.0962193
+0.0961864
+0.0957101
+0.0940857
+0.0924847
+0.0909082
+0.0893577
+0.0878345
+0.0863399
+0.0848756
+0.0834431
+0.0820441
+0.0806802
+0.0793507
+0.07806
+0.0768101
+0.075603
+0.0744409
+0.0733258
+0.0722599
+0.0712204
+0.0701039
+0.0690388
+0.0679749
+0.0669634
+0.0660091
+0.0651094
+0.064263
+0.0634719
+0.0627417
+0.062079
+0.0614736
+0.0609409
+0.0603501
+0.0589686
+0.0576372
+0.0563595
+0.0551393
+0.0539801
+0.0528727
+0.0518339
+0.0508683
+0.0499801
+0.0491736
+0.0484527
+0.0478215
+0.0472833
+0.0468416
+0.046499
+0.0462546
+0.0461125
+0.0460742
+0.0461399
+0.0463058
+0.0465713
+0.0469378
+0.0474027
+0.0479633
+0.0486162
+0.0493578
+0.0501841
+0.0510911
+0.0520745
+0.0531301
+0.0542536
+0.0554296
+0.056666
+0.0579588
+0.0593043
+0.0606991
+0.0621399
+0.0636234
+0.0651469
+0.0667075
+0.0683028
+0.0699302
+0.0712763
+0.0725609
+0.073888
+0.0752555
+0.0766613
+0.0781032
+0.0795792
+0.0810876
+0.0826266
+0.103328
+0.102607
+0.101928
+0.101292
+0.1007
+0.100152
+0.099649
+0.0991921
+0.0987816
+0.0984182
+0.0981024
+0.0978347
+0.0976154
+0.0974435
+0.0973125
+0.0972306
+0.097198
+0.0958494
+0.0942275
+0.0926289
+0.091055
+0.089507
+0.0879863
+0.0864944
+0.0850327
+0.0836029
+0.0822067
+0.0808455
+0.0795187
+0.0782308
+0.0769837
+0.0757794
+0.07462
+0.0735076
+0.0724444
+0.0714326
+0.0704743
+0.0695719
+0.0687275
+0.0679432
+0.0672212
+0.0665581
+0.0659033
+0.0651266
+0.0644152
+0.0637656
+0.0631763
+0.062054
+0.0606322
+0.0592572
+0.0579324
+0.0566614
+0.0554479
+0.0542952
+0.0531944
+0.052162
+0.0512026
+0.0503203
+0.0495193
+0.0488036
+0.0481769
+0.0476428
+0.0472044
+0.0468644
+0.0466214
+0.0464803
+0.0464423
+0.0465076
+0.0466727
+0.0469362
+0.0472998
+0.0477612
+0.0483177
+0.0489659
+0.0497022
+0.0505229
+0.0514239
+0.0524011
+0.0534502
+0.0545671
+0.0557478
+0.0569825
+0.0582683
+0.0596069
+0.0609948
+0.0624287
+0.0639056
+0.0654224
+0.0669766
+0.0685656
+0.0699358
+0.0711771
+0.0724633
+0.0737922
+0.0751615
+0.076569
+0.0780126
+0.0794903
+0.0810004
+0.082541
+0.104314
+0.1036
+0.102928
+0.102298
+0.101711
+0.101169
+0.100671
+0.100219
+0.0998128
+0.0994531
+0.0991406
+0.0988757
+0.0986587
+0.0984899
+0.0983613
+0.0982803
+0.0976796
+0.0960386
+0.0944199
+0.0928246
+0.091254
+0.0897095
+0.0881923
+0.0867039
+0.0852459
+0.0838197
+0.0824271
+0.0810696
+0.0797466
+0.0784624
+0.0772191
+0.0760185
+0.0748628
+0.0737541
+0.0726945
+0.0716862
+0.0707314
+0.0698323
+0.0689882
+0.0682023
+0.0674784
+0.0668185
+0.0662246
+0.0656983
+0.0652355
+0.0648434
+0.0638628
+0.0624053
+0.0609916
+0.0596249
+0.0583085
+0.0570459
+0.0558407
+0.0546963
+0.0536037
+0.0525794
+0.0516277
+0.0507529
+0.0499588
+0.0492494
+0.0486285
+0.0480994
+0.0476652
+0.047328
+0.0470872
+0.0469476
+0.04691
+0.0469746
+0.0471387
+0.0473997
+0.0477597
+0.0482167
+0.048768
+0.0494103
+0.0501401
+0.0509538
+0.0518473
+0.0528166
+0.0538576
+0.0549663
+0.0561386
+0.0573686
+0.0586459
+0.0599761
+0.0613556
+0.0627813
+0.0642501
+0.065759
+0.0673054
+0.0687088
+0.0699032
+0.0711451
+0.0724319
+0.0737614
+0.0751312
+0.0765393
+0.0779834
+0.0794617
+0.0809723
+0.0825134
+0.105337
+0.10463
+0.103964
+0.10334
+0.10276
+0.102223
+0.10173
+0.101283
+0.100881
+0.100525
+0.100216
+0.0999539
+0.0997392
+0.0995723
+0.0994474
+0.0993672
+0.0979143
+0.0962772
+0.0946626
+0.0930715
+0.0915052
+0.0899649
+0.0884521
+0.0869682
+0.0855147
+0.0840931
+0.0827051
+0.0813522
+0.0800338
+0.0787544
+0.0775157
+0.0763198
+0.0751687
+0.0740646
+0.0730095
+0.0720031
+0.0710481
+0.0701486
+0.0693066
+0.0685244
+0.0678039
+0.0671472
+0.0665562
+0.0660326
+0.0655766
+0.0651865
+0.0642789
+0.062831
+0.0614271
+0.0600704
+0.0587639
+0.0575113
+0.0563161
+0.0551816
+0.0540988
+0.053084
+0.0521415
+0.0512754
+0.0504896
+0.0497878
+0.0491736
+0.0486505
+0.0482213
+0.0478873
+0.0476494
+0.0475114
+0.0474742
+0.047538
+0.0477009
+0.0479588
+0.0483147
+0.0487665
+0.0493116
+0.0499469
+0.050669
+0.0514743
+0.0523589
+0.0533189
+0.0543503
+0.0554491
+0.0566114
+0.0578314
+0.0590988
+0.0604189
+0.0617886
+0.0632045
+0.0646636
+0.0661632
+0.0676017
+0.0687455
+0.0699394
+0.0711806
+0.0724668
+0.0737956
+0.0751648
+0.0765723
+0.0780158
+0.0794935
+0.0810035
+0.082544
+0.106291
+0.105694
+0.105036
+0.104418
+0.103844
+0.103313
+0.102825
+0.102383
+0.101985
+0.101633
+0.101327
+0.101068
+0.100856
+0.100691
+0.100569
+0.0998509
+0.0981973
+0.096565
+0.0949552
+0.0933691
+0.0918079
+0.0902728
+0.0887653
+0.0872867
+0.0858385
+0.0844224
+0.0830399
+0.0816926
+0.0803798
+0.0791059
+0.0778728
+0.0766825
+0.0755348
+0.0744318
+0.0733777
+0.0723746
+0.0714246
+0.0705298
+0.0696925
+0.0689146
+0.0681983
+0.0675454
+0.0669579
+0.0664375
+0.0659843
+0.0655967
+0.0647665
+0.0633297
+0.0619371
+0.0605918
+0.0592969
+0.0580557
+0.0568719
+0.0557487
+0.0546772
+0.0536733
+0.0527414
+0.0518853
+0.0511088
+0.0504157
+0.0498093
+0.0492928
+0.0488693
+0.0485391
+0.0483044
+0.0481683
+0.0481316
+0.0481946
+0.0483559
+0.0486103
+0.0489615
+0.0494074
+0.0499454
+0.0505728
+0.0512861
+0.0520818
+0.0529563
+0.0539057
+0.0549261
+0.0560136
+0.0571644
+0.0583729
+0.0596287
+0.0609373
+0.0622956
+0.0637003
+0.0651483
+0.0666203
+0.0677099
+0.068852
+0.070044
+0.0712834
+0.0725678
+0.0738948
+0.0752622
+0.0766679
+0.0781096
+0.0795856
+0.0810939
+0.0826327
+0.107101
+0.106794
+0.106142
+0.105531
+0.104963
+0.104437
+0.103955
+0.103517
+0.103124
+0.102776
+0.102473
+0.102217
+0.102007
+0.101844
+0.101726
+0.100176
+0.0985281
+0.0969014
+0.0952974
+0.093717
+0.0921617
+0.0906326
+0.0891312
+0.0876587
+0.0862168
+0.084807
+0.0834309
+0.08209
+0.0807837
+0.0795144
+0.0782837
+0.0770957
+0.0759522
+0.0748554
+0.0738073
+0.0728101
+0.0718659
+0.0709767
+0.0701447
+0.0693719
+0.0686603
+0.0680119
+0.0674285
+0.0669117
+0.0664617
+0.0660769
+0.0653239
+0.0638997
+0.0625198
+0.0611872
+0.0599052
+0.0586769
+0.0575059
+0.0563953
+0.0553363
+0.0543446
+0.0534244
+0.0525794
+0.0518134
+0.0511297
+0.0505319
+0.050023
+0.0496056
+0.0492798
+0.0490486
+0.0489146
+0.0488785
+0.0489405
+0.0491
+0.0493505
+0.0496964
+0.0501358
+0.0506662
+0.0512847
+0.0519882
+0.0527734
+0.0536366
+0.0545741
+0.0555823
+0.0566572
+0.0577952
+0.0589907
+0.0602336
+0.0615295
+0.0628749
+0.0642669
+0.0657025
+0.066802
+0.0678887
+0.0690279
+0.0702169
+0.0714533
+0.0727347
+0.0740587
+0.0754232
+0.0768258
+0.0782647
+0.0797378
+0.0812432
+0.0827793
+0.107949
+0.107734
+0.107281
+0.106677
+0.106115
+0.105595
+0.105118
+0.104685
+0.104296
+0.103952
+0.103653
+0.1034
+0.103192
+0.103031
+0.102209
+0.100547
+0.0989047
+0.0972843
+0.0956867
+0.0941129
+0.0925642
+0.0910419
+0.0895473
+0.0880818
+0.0866469
+0.0852442
+0.0838753
+0.0825383
+0.0812353
+0.0799711
+0.0787475
+0.0775666
+0.0764301
+0.0753403
+0.0742991
+0.0733086
+0.0723708
+0.0714879
+0.0706619
+0.0698948
+0.0691887
+0.0685452
+0.0679664
+0.0674537
+0.0670074
+0.0666257
+0.0659494
+0.064539
+0.063173
+0.0618546
+0.0605866
+0.0593725
+0.0582155
+0.0571187
+0.0560733
+0.0550949
+0.0541875
+0.0533546
+0.0525998
+0.0519265
+0.051338
+0.0508371
+0.0504265
+0.0501054
+0.049878
+0.0497462
+0.0497107
+0.0497717
+0.0499288
+0.0501755
+0.0505158
+0.0509481
+0.0514701
+0.0520791
+0.052772
+0.0535457
+0.0543967
+0.0553213
+0.0563161
+0.0573772
+0.0585012
+0.0596826
+0.0609114
+0.0621931
+0.0635245
+0.0649026
+0.0660272
+0.0670549
+0.0681376
+0.0692726
+0.0704575
+0.0716898
+0.072967
+0.0742869
+0.0756472
+0.0770458
+0.0784806
+0.0799497
+0.0814513
+0.0829835
+0.108834
+0.108621
+0.108452
+0.107855
+0.107299
+0.106785
+0.106314
+0.105885
+0.105501
+0.105161
+0.104865
+0.104615
+0.10441
+0.10425
+0.102612
+0.100956
+0.0993206
+0.0977071
+0.0961164
+0.0945498
+0.0930084
+0.0914935
+0.0900064
+0.0885485
+0.0871213
+0.0857264
+0.0843652
+0.0830361
+0.0817411
+0.0804848
+0.0792692
+0.0780961
+0.0769675
+0.0758854
+0.0748518
+0.0738686
+0.0729381
+0.0720621
+0.0712428
+0.0704821
+0.0697818
+0.0691439
+0.0685701
+0.068062
+0.0676197
+0.0672415
+0.066641
+0.0652456
+0.0638948
+0.0625915
+0.0613388
+0.0601399
+0.0589979
+0.0579159
+0.0568852
+0.055921
+0.0550272
+0.0542072
+0.0534644
+0.0528022
+0.0522235
+0.0517312
+0.0513276
+0.0510117
+0.0507885
+0.050659
+0.0506242
+0.050684
+0.0508383
+0.0510812
+0.0514155
+0.0518403
+0.0523534
+0.0529522
+0.0536339
+0.0543953
+0.0552332
+0.0561441
+0.0571245
+0.0581709
+0.0592799
+0.0604461
+0.0616596
+0.0629261
+0.0642423
+0.0653805
+0.0663459
+0.0673688
+0.0684465
+0.0695765
+0.0707563
+0.0719834
+0.0732555
+0.0745703
+0.0759256
+0.0773191
+0.078749
+0.0802132
+0.0817099
+0.0832373
+0.109756
+0.109545
+0.109377
+0.109065
+0.108515
+0.108006
+0.10754
+0.107117
+0.106737
+0.106401
+0.106109
+0.105861
+0.105659
+0.104728
+0.103059
+0.101411
+0.0997828
+0.0981769
+0.096594
+0.0950352
+0.0935018
+0.091995
+0.0905161
+0.0890666
+0.0876479
+0.0862614
+0.0849089
+0.0835885
+0.0823021
+0.0810545
+0.0798476
+0.0786831
+0.077563
+0.0764894
+0.075464
+0.0744889
+0.0735662
+0.0726979
+0.0718858
+0.0711319
+0.0704381
+0.0698062
+0.0692379
+0.0687347
+0.0682968
+0.0679223
+0.0673968
+0.0660174
+0.0646827
+0.0633956
+0.0621591
+0.0609763
+0.0598503
+0.058784
+0.0577688
+0.0568196
+0.0559401
+0.0551337
+0.0544036
+0.053753
+0.0531846
+0.0527013
+0.0523046
+0.0519947
+0.0517756
+0.0516487
+0.0516144
+0.0516732
+0.0518245
+0.0520634
+0.0523915
+0.0528084
+0.0533122
+0.0539004
+0.0545702
+0.0553187
+0.0561428
+0.0570392
+0.0580045
+0.0590353
+0.0601283
+0.0612783
+0.0624757
+0.063726
+0.0648656
+0.0657708
+0.0667306
+0.0677476
+0.0688194
+0.0699433
+0.0711171
+0.0723381
+0.0736041
+0.0749127
+0.0762619
+0.0776494
+0.0790733
+0.0805316
+0.0820225
+0.0835442
+0.110714
+0.110505
+0.110338
+0.110215
+0.109757
+0.109255
+0.108794
+0.108376
+0.108
+0.107668
+0.107379
+0.107135
+0.106892
+0.105212
+0.103551
+0.10191
+0.100291
+0.0986931
+0.0971186
+0.0955684
+0.0940437
+0.0925457
+0.0910758
+0.0896353
+0.0882257
+0.0868485
+0.0855052
+0.0841942
+0.0829172
+0.081679
+0.0804814
+0.0793263
+0.0782154
+0.0771508
+0.0761343
+0.075168
+0.0742537
+0.0733935
+0.0725892
+0.0718427
+0.0711559
+0.0705304
+0.0699679
+0.0694701
+0.0690368
+0.0686664
+0.0682147
+0.0668521
+0.0655344
+0.0642644
+0.0630449
+0.061879
+0.0607698
+0.0597199
+0.0587209
+0.0577873
+0.0569228
+0.0561305
+0.0554135
+0.0547749
+0.0542173
+0.0537432
+0.0533537
+0.0530499
+0.0528352
+0.0527108
+0.0526773
+0.0527348
+0.0528831
+0.0531179
+0.0534394
+0.0538483
+0.0543424
+0.0549195
+0.0555771
+0.0563122
+0.057122
+0.0580032
+0.0589527
+0.0599673
+0.0610436
+0.0621767
+0.0633571
+0.0644721
+0.0653183
+0.0662261
+0.0671844
+0.0681947
+0.0692596
+0.0703765
+0.0715431
+0.072757
+0.0740158
+0.0753173
+0.0766594
+0.0780398
+0.0794567
+0.0809081
+0.0823922
+0.0839072
+0.111707
+0.111499
+0.111334
+0.111212
+0.111026
+0.110529
+0.110074
+0.10966
+0.109289
+0.108961
+0.108676
+0.108434
+0.107411
+0.105739
+0.104087
+0.102455
+0.100844
+0.099255
+0.0976895
+0.0961486
+0.0946332
+0.0931447
+0.0916844
+0.0902536
+0.0888538
+0.0874865
+0.0861532
+0.0848521
+0.0835852
+0.0823571
+0.0811695
+0.0800242
+0.0789232
+0.0778683
+0.0768613
+0.0759042
+0.074999
+0.0741474
+0.0733513
+0.0726127
+0.0719332
+0.0713145
+0.0707583
+0.070266
+0.0698377
+0.0694715
+0.0690923
+0.0677474
+0.0664474
+0.0651952
+0.0639935
+0.0628452
+0.0617533
+0.0607204
+0.0597381
+0.0588207
+0.0579716
+0.0571939
+0.0564904
+0.055864
+0.0553174
+0.0548529
+0.0544707
+0.0541732
+0.053963
+0.0538412
+0.0538083
+0.0538647
+0.0540099
+0.0542403
+0.0545553
+0.0549558
+0.05544
+0.0560059
+0.0566508
+0.0573722
+0.0581672
+0.0590328
+0.059966
+0.0609637
+0.0620227
+0.0631383
+0.0642257
+0.0650013
+0.0658407
+0.0667415
+0.0677012
+0.0687088
+0.0697658
+0.0708748
+0.0720333
+0.0732391
+0.0744897
+0.0757831
+0.077117
+0.0784895
+0.0798984
+0.0813419
+0.0828182
+0.0843256
+0.112733
+0.112527
+0.112364
+0.112243
+0.112165
+0.111832
+0.111382
+0.110974
+0.110607
+0.110283
+0.110001
+0.109653
+0.107972
+0.106309
+0.104666
+0.103043
+0.101441
+0.0998618
+0.098306
+0.0967748
+0.0952694
+0.093791
+0.0923409
+0.0909205
+0.0895311
+0.0881743
+0.0868516
+0.0855611
+0.0843048
+0.0830873
+0.0819104
+0.0807756
+0.079685
+0.0786403
+0.0776433
+0.076696
+0.0758002
+0.0749577
+0.0741703
+0.0734399
+0.0727681
+0.0721567
+0.071607
+0.0711206
+0.0706974
+0.0703357
+0.0700275
+0.0687009
+0.0674193
+0.0661855
+0.0650021
+0.0638719
+0.0627979
+0.0617825
+0.0608173
+0.0599164
+0.0590831
+0.0583201
+0.0576304
+0.0570166
+0.0564811
+0.0560262
+0.0556516
+0.0553604
+0.0551547
+0.0550356
+0.0550035
+0.0550586
+0.0552006
+0.0554267
+0.0557349
+0.056127
+0.0566013
+0.0571556
+0.0577877
+0.0584951
+0.059275
+0.0601247
+0.0610412
+0.0620216
+0.0630629
+0.0641184
+0.064831
+0.0655995
+0.0664313
+0.0673242
+0.0682757
+0.0692835
+0.0703367
+0.0714368
+0.0725864
+0.0737831
+0.0750247
+0.076309
+0.0776339
+0.0789973
+0.0803973
+0.081832
+0.0832997
+0.0847985
+0.113792
+0.113588
+0.113427
+0.113307
+0.113229
+0.113163
+0.112718
+0.112314
+0.111952
+0.111632
+0.111353
+0.110246
+0.108574
+0.10692
+0.105287
+0.103673
+0.102082
+0.100513
+0.0989671
+0.0974463
+0.0959515
+0.0944837
+0.0930444
+0.0916349
+0.0902565
+0.0889108
+0.0875992
+0.0863199
+0.0850748
+0.0838685
+0.0827027
+0.081579
+0.0804992
+0.0794652
+0.0784787
+0.0775416
+0.0766556
+0.0758227
+0.0750444
+0.0743226
+0.0736588
+0.0730548
+0.0725119
+0.0720317
+0.0716135
+0.0712565
+0.0709653
+0.0697102
+0.0684475
+0.0672326
+0.0660679
+0.0649563
+0.0639005
+0.0629029
+0.0619552
+0.0610711
+0.0602537
+0.0595058
+0.05883
+0.0582288
+0.0577046
+0.0572594
+0.0568924
+0.0566075
+0.0564064
+0.0562899
+0.0562585
+0.0563124
+0.0564513
+0.0566729
+0.0569744
+0.057358
+0.0578222
+0.0583649
+0.0589841
+0.0596773
+0.0604419
+0.0612754
+0.062175
+0.0631378
+0.0641416
+0.0647989
+0.0655041
+0.0662647
+0.0670883
+0.0679726
+0.0689151
+0.0699136
+0.0709658
+0.072061
+0.0732008
+0.0743876
+0.0756193
+0.0768937
+0.0782087
+0.0795623
+0.0809525
+0.0823775
+0.0838356
+0.085325
+0.114884
+0.114682
+0.114521
+0.114403
+0.114326
+0.114291
+0.11408
+0.113682
+0.113324
+0.113007
+0.112218
+0.110796
+0.109217
+0.107573
+0.10595
+0.104347
+0.102765
+0.101207
+0.099672
+0.0981622
+0.0966783
+0.0952218
+0.0937939
+0.0923958
+0.0910289
+0.0896948
+0.0883948
+0.0871272
+0.0858938
+0.0846992
+0.0835449
+0.0824327
+0.0813642
+0.0803414
+0.0793658
+0.0784393
+0.0775636
+0.0767404
+0.0759716
+0.0752586
+0.0746032
+0.0740069
+0.0734711
+0.0729971
+0.0725822
+0.0722299
+0.0719427
+0.0707729
+0.0695296
+0.0683339
+0.0671883
+0.0660956
+0.0650582
+0.0640787
+0.0631486
+0.0622815
+0.0614802
+0.0607473
+0.0600855
+0.059497
+0.058984
+0.0585483
+0.0581891
+0.0579107
+0.0577141
+0.0576003
+0.0575696
+0.0576222
+0.057758
+0.0579751
+0.0582699
+0.058645
+0.0590991
+0.0596302
+0.0602363
+0.0609153
+0.0616646
+0.0624818
+0.0633643
+0.0643092
+0.0648958
+0.0655455
+0.0662428
+0.066995
+0.0678097
+0.0686847
+0.0696176
+0.0706062
+0.0716481
+0.0727412
+0.0738751
+0.0750513
+0.0762723
+0.0775359
+0.0788402
+0.0801831
+0.0815628
+0.0829773
+0.084425
+0.0859042
+0.116006
+0.115806
+0.115647
+0.11553
+0.115454
+0.11542
+0.115427
+0.115074
+0.114721
+0.114081
+0.112661
+0.111261
+0.109806
+0.108266
+0.106653
+0.105061
+0.103491
+0.101943
+0.10042
+0.0989213
+0.0974491
+0.0960042
+0.0945881
+0.0932019
+0.0918471
+0.090525
+0.089237
+0.0879816
+0.0867604
+0.0855778
+0.0844356
+0.0833352
+0.0822785
+0.0812672
+0.0803028
+0.0793872
+0.0785221
+0.0777091
+0.07695
+0.0762462
+0.0755994
+0.0750109
+0.0744823
+0.0740139
+0.0736033
+0.073256
+0.0729728
+0.0718867
+0.070663
+0.0694868
+0.0683606
+0.0672868
+0.0662682
+0.0653068
+0.0643944
+0.0635443
+0.0627591
+0.0620414
+0.0613935
+0.0608177
+0.060316
+0.0598894
+0.0595383
+0.0592662
+0.0590742
+0.0589629
+0.058933
+0.0589844
+0.059117
+0.0593297
+0.0596178
+0.0599845
+0.0604285
+0.060948
+0.0615412
+0.0622059
+0.0629399
+0.0637407
+0.0646059
+0.0651339
+0.0657083
+0.06635
+0.0670449
+0.0677883
+0.0685936
+0.0694586
+0.0703813
+0.0713593
+0.0723904
+0.0734724
+0.074603
+0.0757725
+0.076982
+0.0782342
+0.079527
+0.0808585
+0.0822269
+0.0836302
+0.0850668
+0.086535
+0.117159
+0.116961
+0.116803
+0.116687
+0.116612
+0.116578
+0.116585
+0.116491
+0.115997
+0.114558
+0.113144
+0.111754
+0.110318
+0.108887
+0.107397
+0.105816
+0.104257
+0.102721
+0.101209
+0.0997228
+0.0982626
+0.0968299
+0.095426
+0.0940522
+0.0927097
+0.0914001
+0.0901247
+0.0888818
+0.0876731
+0.0865031
+0.0853732
+0.0842851
+0.0832405
+0.0822409
+0.0812881
+0.0803838
+0.0795295
+0.0787269
+0.0779776
+0.0772832
+0.0766451
+0.0760648
+0.0755436
+0.0750795
+0.0746748
+0.0743325
+0.0740535
+0.0730493
+0.0718454
+0.0706888
+0.0695821
+0.0685275
+0.0675275
+0.0665843
+0.0656897
+0.0648566
+0.0640875
+0.0633848
+0.0627508
+0.0621875
+0.0616969
+0.0612795
+0.0609364
+0.0606706
+0.060483
+0.0603743
+0.0603451
+0.0603953
+0.0605248
+0.0607331
+0.0610145
+0.0613729
+0.0618069
+0.062315
+0.0628952
+0.0635458
+0.0642645
+0.065049
+0.0655133
+0.0660117
+0.0665785
+0.067212
+0.0679083
+0.0686423
+0.0694377
+0.0702924
+0.0712042
+0.0721711
+0.0731908
+0.0742611
+0.0753799
+0.076545
+0.0777471
+0.0789871
+0.0802678
+0.0815872
+0.0829435
+0.0843349
+0.0857597
+0.0872163
+0.11834
+0.118145
+0.117989
+0.117874
+0.117799
+0.117766
+0.117773
+0.11782
+0.116507
+0.115075
+0.113667
+0.112284
+0.110871
+0.109448
+0.10805
+0.106611
+0.105064
+0.10354
+0.10204
+0.100566
+0.0991179
+0.0976977
+0.0963065
+0.0949454
+0.0936158
+0.092319
+0.0910565
+0.0898264
+0.0886307
+0.0874734
+0.0863562
+0.0852807
+0.0842484
+0.0832609
+0.08232
+0.0814271
+0.0805838
+0.0797919
+0.0790527
+0.0783678
+0.0777386
+0.0771665
+0.0766526
+0.0761933
+0.0757945
+0.0754573
+0.0751824
+0.0742583
+0.0730743
+0.0719375
+0.0708503
+0.0698148
+0.0688336
+0.0679085
+0.0670316
+0.0662153
+0.0654622
+0.0647744
+0.0641541
+0.0636033
+0.0631237
+0.0627153
+0.0623801
+0.0621205
+0.0619373
+0.0618312
+0.0618026
+0.0618516
+0.0619781
+0.0621816
+0.0624569
+0.0628071
+0.0632312
+0.0637279
+0.0642954
+0.064932
+0.0656355
+0.0660361
+0.0664584
+0.0669498
+0.0675087
+0.0681335
+0.0688224
+0.0695548
+0.0703399
+0.0711838
+0.0720844
+0.0730396
+0.0740473
+0.0751054
+0.0762118
+0.0773644
+0.0785612
+0.0797931
+0.081061
+0.0823678
+0.0837114
+0.0850903
+0.0865026
+0.0879469
+0.119551
+0.119357
+0.119203
+0.119089
+0.119015
+0.118982
+0.118989
+0.118506
+0.117057
+0.115631
+0.11423
+0.112854
+0.111465
+0.110049
+0.108659
+0.107296
+0.105909
+0.104398
+0.102911
+0.101449
+0.100014
+0.0986066
+0.0972283
+0.0958803
+0.0945639
+0.0932803
+0.0920309
+0.0908141
+0.0896315
+0.0884873
+0.0873831
+0.0863204
+0.0853006
+0.0843255
+0.0833966
+0.0825153
+0.0816833
+0.0809021
+0.0801732
+0.0794979
+0.0788778
+0.078314
+0.0778055
+0.077353
+0.0769603
+0.0766282
+0.0763575
+0.0755115
+0.0743474
+0.0732304
+0.0721627
+0.0711463
+0.0701837
+0.0692767
+0.0684173
+0.0676177
+0.0668804
+0.0662074
+0.0656007
+0.0650621
+0.0645933
+0.0641937
+0.0638664
+0.0636128
+0.0634339
+0.0633303
+0.0633024
+0.0633503
+0.0634738
+0.0636725
+0.0639418
+0.0642839
+0.0646984
+0.0651839
+0.0657389
+0.0663615
+0.0666988
+0.0670454
+0.0674614
+0.0679455
+0.0684963
+0.0691122
+0.0697914
+0.0705237
+0.0712981
+0.0721307
+0.0730196
+0.0739628
+0.0749581
+0.0760035
+0.077097
+0.0782366
+0.0794203
+0.0806401
+0.0818975
+0.0831935
+0.0845262
+0.0858919
+0.0872913
+0.0887227
+0.120789
+0.120597
+0.120444
+0.120332
+0.120259
+0.120226
+0.120227
+0.119086
+0.117644
+0.116226
+0.114832
+0.113463
+0.112091
+0.110691
+0.109309
+0.107954
+0.106627
+0.105294
+0.10382
+0.102371
+0.100949
+0.0995553
+0.0981904
+0.0968558
+0.0955528
+0.0942827
+0.0930468
+0.0918434
+0.0906742
+0.0895434
+0.0884524
+0.0874026
+0.0863957
+0.0854331
+0.0845163
+0.0836468
+0.0828262
+0.0820559
+0.0813373
+0.0806718
+0.0800607
+0.0795053
+0.0790023
+0.0785567
+0.07817
+0.0778431
+0.0775767
+0.0768067
+0.0756626
+0.0745653
+0.0735169
+0.0725196
+0.0715754
+0.0706862
+0.0698442
+0.0690612
+0.0683394
+0.0676809
+0.0670875
+0.066561
+0.0661028
+0.065712
+0.0653922
+0.0651446
+0.0649699
+0.0648687
+0.0648415
+0.0648883
+0.0650088
+0.0652028
+0.0654664
+0.0658005
+0.0662055
+0.0666801
+0.0672227
+0.0674974
+0.0677691
+0.0681103
+0.0685198
+0.0689965
+0.069539
+0.0701457
+0.070815
+0.0715413
+0.0723099
+0.0731311
+0.074008
+0.0749387
+0.0759212
+0.0769535
+0.0780337
+0.0791598
+0.0803299
+0.0815361
+0.0827798
+0.0840623
+0.0853817
+0.0867363
+0.0881235
+0.0895416
+0.122054
+0.121864
+0.121713
+0.121601
+0.121524
+0.121484
+0.12116
+0.119704
+0.118269
+0.116859
+0.115472
+0.114111
+0.112756
+0.111372
+0.109998
+0.108652
+0.107333
+0.106044
+0.104767
+0.103332
+0.101923
+0.100543
+0.0991916
+0.0978706
+0.0965813
+0.0953249
+0.0941027
+0.092913
+0.0917574
+0.0906401
+0.0895624
+0.0885258
+0.0875318
+0.0865818
+0.0856773
+0.0848198
+0.0840106
+0.0832513
+0.0825431
+0.0818874
+0.0812854
+0.0807368
+0.0802411
+0.0798024
+0.0794218
+0.0791001
+0.0788379
+0.078142
+0.0770177
+0.0759399
+0.0749108
+0.0739323
+0.0730064
+0.0721348
+0.0713099
+0.0705432
+0.0698367
+0.0691925
+0.0686121
+0.0680974
+0.0676492
+0.0672673
+0.066955
+0.0667131
+0.0665425
+0.0664438
+0.0664172
+0.0664629
+0.0665806
+0.06677
+0.0670279
+0.0673543
+0.06775
+0.0682138
+0.068427
+0.0686252
+0.0688925
+0.0692281
+0.0696311
+0.0701002
+0.0706342
+0.0712316
+0.0718908
+0.0726031
+0.0733682
+0.0741826
+0.0750472
+0.0759652
+0.0769346
+0.0779535
+0.07902
+0.0801323
+0.0812884
+0.0824806
+0.0837103
+0.0849787
+0.086284
+0.0876247
+0.0889992
+0.0904058
+0.123344
+0.123156
+0.123004
+0.122886
+0.122807
+0.122767
+0.121807
+0.120358
+0.118932
+0.117529
+0.116151
+0.114798
+0.113458
+0.112084
+0.110727
+0.109389
+0.10808
+0.106799
+0.105548
+0.104329
+0.102935
+0.101568
+0.100231
+0.0989235
+0.0976481
+0.0964056
+0.0951973
+0.0940214
+0.0928797
+0.091776
+0.0907118
+0.0896885
+0.0887075
+0.0877703
+0.0868782
+0.0860326
+0.0852349
+0.0844866
+0.0837888
+0.0831429
+0.0825502
+0.082008
+0.08152
+0.0810882
+0.0807137
+0.0803971
+0.0801391
+0.0795151
+0.0784105
+0.0773522
+0.0763421
+0.0753821
+0.0744743
+0.0736201
+0.072812
+0.0720613
+0.0713698
+0.0707396
+0.070172
+0.0696688
+0.0692304
+0.0688572
+0.0685521
+0.0683159
+0.0681494
+0.068053
+0.068027
+0.0680716
+0.0681865
+0.0683715
+0.0686238
+0.0689426
+0.0693293
+0.0694825
+0.0696087
+0.0698035
+0.0700663
+0.0703964
+0.0707927
+0.0712542
+0.0717796
+0.0723675
+0.0730164
+0.0737147
+0.0744684
+0.0752783
+0.0761354
+0.0770403
+0.0779964
+0.0790016
+0.0800542
+0.0811523
+0.082294
+0.0834719
+0.0846872
+0.0859411
+0.0872321
+0.0885585
+0.0899186
+0.0913111
+0.124658
+0.124465
+0.12431
+0.124193
+0.124115
+0.123952
+0.122489
+0.121049
+0.11963
+0.118236
+0.116866
+0.11552
+0.114186
+0.112833
+0.111494
+0.110166
+0.108865
+0.107594
+0.106352
+0.105142
+0.103964
+0.10263
+0.101306
+0.100013
+0.098752
+0.0975235
+0.0963293
+0.0951674
+0.0940396
+0.0929497
+0.0918991
+0.0908891
+0.0899213
+0.0889968
+0.0881171
+0.0872835
+0.0864974
+0.08576
+0.0850727
+0.0844367
+0.0838521
+0.0833173
+0.082837
+0.0824122
+0.0820437
+0.0817322
+0.0814785
+0.0809242
+0.0798391
+0.0788
+0.0778087
+0.0768671
+0.0759769
+0.0751396
+0.0743483
+0.0736132
+0.0729365
+0.072319
+0.0717618
+0.0712674
+0.0708373
+0.0704727
+0.0701746
+0.0699438
+0.0697812
+0.069687
+0.0696617
+0.0697052
+0.0698175
+0.0699981
+0.0702467
+0.0705624
+0.0706488
+0.0707144
+0.0708385
+0.0710299
+0.0712882
+0.0716126
+0.0720022
+0.072456
+0.0729727
+0.0735511
+0.0741891
+0.074874
+0.0756161
+0.0764139
+0.0772655
+0.0781621
+0.0791046
+0.0800959
+0.0811343
+0.082218
+0.0833451
+0.0845083
+0.0857089
+0.0869482
+0.0882244
+0.0895361
+0.0908816
+0.0922595
+0.125985
+0.125794
+0.12564
+0.125525
+0.125447
+0.12465
+0.123207
+0.121774
+0.120365
+0.118979
+0.117618
+0.116272
+0.114947
+0.11362
+0.112291
+0.110979
+0.109689
+0.108427
+0.107195
+0.105994
+0.104826
+0.10369
+0.102418
+0.101139
+0.0998917
+0.0986775
+0.0974973
+0.0963496
+0.0952357
+0.0941597
+0.0931227
+0.0921262
+0.0911715
+0.0902598
+0.0893925
+0.0885709
+0.0877964
+0.08707
+0.0863931
+0.0857669
+0.0851894
+0.0846631
+0.0841905
+0.0837725
+0.08341
+0.0831037
+0.0828542
+0.0823626
+0.0812967
+0.0802764
+0.0793036
+0.0783799
+0.0775072
+0.0766871
+0.0759115
+0.0751894
+0.0745247
+0.0739189
+0.0733736
+0.0728901
+0.0724696
+0.0721133
+0.071822
+0.0715966
+0.0714377
+0.0713457
+0.071321
+0.0713635
+0.0714731
+0.0716496
+0.0718925
+0.0719252
+0.0719267
+0.071992
+0.0721138
+0.0723019
+0.0725556
+0.0728744
+0.0732573
+0.0737033
+0.0742114
+0.0747802
+0.0754047
+0.0760786
+0.0768091
+0.0775946
+0.0784335
+0.079324
+0.0802573
+0.0812346
+0.0822586
+0.0833276
+0.08444
+0.0855883
+0.086774
+0.0879982
+0.0892594
+0.0905561
+0.0918867
+0.0932498
+0.127336
+0.127146
+0.126994
+0.12688
+0.126804
+0.125381
+0.12395
+0.122535
+0.121135
+0.119758
+0.118403
+0.117061
+0.115744
+0.114443
+0.113123
+0.111829
+0.110549
+0.109297
+0.108075
+0.106884
+0.105725
+0.104599
+0.103507
+0.102299
+0.101066
+0.0998661
+0.0987002
+0.0975666
+0.0964668
+0.0954046
+0.0943814
+0.0933983
+0.0924567
+0.0915578
+0.0907029
+0.0898933
+0.0891303
+0.0884149
+0.0877484
+0.0871315
+0.0865616
+0.0860436
+0.0855786
+0.0851675
+0.0848109
+0.0845097
+0.0842643
+0.0838335
+0.0827866
+0.0817849
+0.0808302
+0.0799242
+0.0790685
+0.0782611
+0.0774989
+0.0767917
+0.076141
+0.0755483
+0.0750148
+0.0745419
+0.0741308
+0.0737825
+0.0734978
+0.0732776
+0.0731223
+0.0730325
+0.0730083
+0.0730498
+0.0731569
+0.0733294
+0.0733104
+0.0732464
+0.0732478
+0.0733127
+0.0734323
+0.073617
+0.0738663
+0.0741794
+0.0745556
+0.0749939
+0.0754933
+0.0760525
+0.0766637
+0.0773266
+0.0780455
+0.0788186
+0.0796446
+0.0805217
+0.0814483
+0.0824115
+0.0834211
+0.0844754
+0.0855728
+0.0867102
+0.0878807
+0.0890898
+0.0903358
+0.0916172
+0.0929326
+0.0942805
+0.128709
+0.128522
+0.128372
+0.128259
+0.127589
+0.126146
+0.124724
+0.123325
+0.121939
+0.120569
+0.119218
+0.117885
+0.116578
+0.115297
+0.113992
+0.11271
+0.111442
+0.110201
+0.108989
+0.107808
+0.106659
+0.105543
+0.104461
+0.103414
+0.102274
+0.101088
+0.0999366
+0.0988172
+0.0977315
+0.0966832
+0.0956736
+0.094704
+0.0937755
+0.0928893
+0.0920468
+0.0912492
+0.0904975
+0.089793
+0.0891368
+0.0885278
+0.0879668
+0.0874572
+0.0869998
+0.0865954
+0.0862447
+0.0859485
+0.0857073
+0.0853354
+0.0843071
+0.0833237
+0.0823868
+0.0814981
+0.0806591
+0.0798619
+0.0791152
+0.0784226
+0.0777855
+0.0772053
+0.0766834
+0.0762209
+0.0758189
+0.0754783
+0.0752001
+0.0749848
+0.0748331
+0.0747453
+0.0747217
+0.0747623
+0.074867
+0.0747983
+0.0746713
+0.0746085
+0.0746099
+0.0746712
+0.0747887
+0.0749701
+0.0752148
+0.0755224
+0.0758919
+0.0763226
+0.0768133
+0.077363
+0.0779639
+0.0786158
+0.079323
+0.0800838
+0.0808969
+0.0817605
+0.0826732
+0.0836248
+0.0846199
+0.0856594
+0.0867419
+0.0878656
+0.0890277
+0.0902213
+0.0914519
+0.0927179
+0.0940179
+0.0953505
+0.102252
+0.100559
+0.0988857
+0.0972307
+0.0955973
+0.0939866
+0.0923998
+0.090838
+0.0893027
+0.0877952
+0.086317
+0.0848696
+0.0834546
+0.0820737
+0.0807286
+0.0794212
+0.0781533
+0.0769269
+0.0757349
+0.0745876
+0.0734877
+0.0724374
+0.0714389
+0.0704943
+0.0696058
+0.0687757
+0.068006
+0.0672989
+0.0666563
+0.0660801
+0.0655721
+0.0651339
+0.0647668
+0.0644721
+0.0642507
+0.0641036
+0.064031
+0.0640334
+0.0641107
+0.0642626
+0.0644886
+0.064788
+0.0651564
+0.065585
+0.0660835
+0.0666503
+0.0672837
+0.0679818
+0.0687427
+0.0695642
+0.0704443
+0.0713809
+0.0723716
+0.0734144
+0.074507
+0.0756472
+0.076833
+0.0780623
+0.0793331
+0.0806431
+0.0819833
+0.0833593
+0.0847696
+0.0862125
+0.0876864
+0.0891897
+0.0907211
+0.092279
+0.0938622
+0.0954694
+0.097099
+0.0987491
+0.10042
+0.10211
+0.103818
+0.105544
+0.107287
+0.108479
+0.109688
+0.110928
+0.112196
+0.113488
+0.114805
+0.116148
+0.117517
+0.118897
+0.12029
+0.121697
+0.123127
+0.124578
+0.126051
+0.127545
+0.129059
+0.130591
+0.132143
+0.133712
+0.135298
+0.136248
+0.136992
+0.137695
+0.101429
+0.0997216
+0.0980336
+0.096364
+0.0947157
+0.0930897
+0.0914873
+0.0899097
+0.0883583
+0.0868344
+0.0853395
+0.0838753
+0.0824432
+0.0810451
+0.0796826
+0.0783578
+0.0770724
+0.0758285
+0.0746282
+0.073465
+0.0723481
+0.071281
+0.070266
+0.0693054
+0.0684015
+0.0675566
+0.0667729
+0.0660526
+0.0653978
+0.0648104
+0.0642923
+0.0638453
+0.0634707
+0.06317
+0.0629441
+0.0627938
+0.0627198
+0.0627222
+0.0628011
+0.0629562
+0.0631869
+0.0634924
+0.0638704
+0.0643076
+0.0648159
+0.0653937
+0.0660391
+0.0667502
+0.067525
+0.0683612
+0.0692566
+0.070209
+0.071216
+0.0722754
+0.073385
+0.0745424
+0.0757455
+0.0769922
+0.0782803
+0.0796076
+0.080965
+0.082358
+0.0837852
+0.0852447
+0.0867351
+0.0882546
+0.0898019
+0.0913755
+0.0929741
+0.0945964
+0.0962413
+0.0979075
+0.099594
+0.1013
+0.103022
+0.10444
+0.105605
+0.106802
+0.108031
+0.109289
+0.110577
+0.111887
+0.113222
+0.114583
+0.115956
+0.117349
+0.11875
+0.120174
+0.121622
+0.123091
+0.124582
+0.126093
+0.127624
+0.129173
+0.130742
+0.132327
+0.13393
+0.135096
+0.135788
+0.136461
+0.100646
+0.0989253
+0.0972234
+0.0955397
+0.0938769
+0.0922361
+0.0906186
+0.0890256
+0.0874585
+0.0859187
+0.0844076
+0.0829269
+0.0814782
+0.0800632
+0.0786837
+0.0773418
+0.0760392
+0.0747782
+0.0735608
+0.0723892
+0.0712576
+0.0701739
+0.0691427
+0.0681663
+0.0672471
+0.0663875
+0.0655898
+0.0648563
+0.0641893
+0.0635908
+0.0630627
+0.0626069
+0.0622249
+0.0619181
+0.0616876
+0.0615343
+0.0614587
+0.0614612
+0.0615417
+0.0616999
+0.0619353
+0.0622469
+0.0626337
+0.0630803
+0.0635985
+0.0641872
+0.0648447
+0.0655687
+0.0663573
+0.067208
+0.0681186
+0.0690866
+0.0701098
+0.0711857
+0.072312
+0.0734863
+0.0747064
+0.0759702
+0.0772753
+0.0786196
+0.0799937
+0.0814034
+0.082847
+0.0843228
+0.0858291
+0.0873644
+0.0889272
+0.090516
+0.0921295
+0.0937665
+0.0954256
+0.0971058
+0.098806
+0.100479
+0.101595
+0.102745
+0.103929
+0.105145
+0.106393
+0.10767
+0.108977
+0.110305
+0.111656
+0.113023
+0.114414
+0.11581
+0.11723
+0.118673
+0.120138
+0.121626
+0.123134
+0.124662
+0.126211
+0.127778
+0.129363
+0.130965
+0.132584
+0.133924
+0.134571
+0.13525
+0.0999049
+0.0981714
+0.0964562
+0.0947588
+0.0930821
+0.0914271
+0.089795
+0.0881871
+0.0866049
+0.0850496
+0.0835228
+0.0820261
+0.0805611
+0.0791298
+0.0777338
+0.0763751
+0.0750558
+0.0737779
+0.0725437
+0.0713555
+0.0702154
+0.0691186
+0.0680714
+0.0670794
+0.066145
+0.0652709
+0.0644594
+0.063713
+0.0630338
+0.0624242
+0.0618862
+0.0614216
+0.0610322
+0.0607194
+0.0604843
+0.060328
+0.0602509
+0.0602534
+0.0603356
+0.0604969
+0.060737
+0.0610547
+0.061449
+0.0619063
+0.0624342
+0.0630338
+0.0637032
+0.0644401
+0.0652423
+0.0661073
+0.0670329
+0.0680164
+0.0690554
+0.0701475
+0.0712902
+0.072481
+0.0737178
+0.0749982
+0.07632
+0.0776808
+0.0790712
+0.080497
+0.0819566
+0.0834481
+0.08497
+0.0865206
+0.0880983
+0.0897018
+0.0913297
+0.0929807
+0.0946536
+0.0963473
+0.0976551
+0.0987636
+0.0998989
+0.101069
+0.102272
+0.103508
+0.104775
+0.106072
+0.107398
+0.10874
+0.110099
+0.111481
+0.112879
+0.114293
+0.115731
+0.117193
+0.118676
+0.120182
+0.121708
+0.123254
+0.12482
+0.126404
+0.128006
+0.129625
+0.131261
+0.132727
+0.133379
+0.134064
+0.0992069
+0.0974609
+0.095733
+0.0940226
+0.0923325
+0.0906637
+0.0890177
+0.0873955
+0.0857986
+0.0842285
+0.0826865
+0.0811744
+0.0796938
+0.0782466
+0.0768345
+0.0754596
+0.074124
+0.0728298
+0.0715793
+0.0703747
+0.0692186
+0.0681133
+0.0670545
+0.0660472
+0.0650981
+0.0642097
+0.0633847
+0.0626254
+0.0619343
+0.0613138
+0.0607659
+0.0602927
+0.059896
+0.0595772
+0.0593376
+0.0591782
+0.0590996
+0.0591022
+0.0591859
+0.0593505
+0.0595951
+0.0599189
+0.0603206
+0.0607886
+0.0613261
+0.0619365
+0.0626175
+0.0633671
+0.0641827
+0.0650618
+0.066002
+0.0670007
+0.0680552
+0.0691631
+0.0703218
+0.0715288
+0.0727817
+0.0740783
+0.0754162
+0.076793
+0.0781993
+0.0796407
+0.0811156
+0.0826224
+0.0841592
+0.0857244
+0.0873165
+0.0889341
+0.0905758
+0.0922403
+0.0937871
+0.0948396
+0.0959306
+0.0970588
+0.0982228
+0.0994123
+0.100635
+0.101891
+0.103178
+0.104495
+0.105833
+0.107181
+0.108556
+0.109957
+0.111365
+0.112798
+0.114255
+0.115735
+0.117237
+0.118761
+0.120305
+0.121869
+0.123453
+0.125054
+0.126673
+0.128309
+0.129962
+0.131554
+0.132213
+0.132904
+0.0985526
+0.0967948
+0.0950548
+0.0933319
+0.0916291
+0.0899473
+0.0882879
+0.0866521
+0.0850412
+0.0834568
+0.0819003
+0.0803734
+0.0788778
+0.0774153
+0.0759878
+0.0745973
+0.073246
+0.071936
+0.0706697
+0.0694493
+0.0682775
+0.0671567
+0.0660895
+0.0650725
+0.0641089
+0.0632067
+0.0623683
+0.0615965
+0.0608938
+0.0602625
+0.059705
+0.0592234
+0.0588194
+0.0584947
+0.0582507
+0.0580883
+0.0580083
+0.0580109
+0.0580962
+0.0582638
+0.058513
+0.0588427
+0.0592517
+0.0597301
+0.060277
+0.0608979
+0.0615904
+0.0623523
+0.063181
+0.0640739
+0.0650284
+0.0660418
+0.0671114
+0.0682346
+0.0694087
+0.0706314
+0.0719
+0.0732121
+0.0745656
+0.0759577
+0.0773795
+0.0788359
+0.0803256
+0.0818469
+0.083398
+0.0849772
+0.0865831
+0.0882142
+0.089869
+0.0910102
+0.0920423
+0.0931145
+0.0942255
+0.0953738
+0.0965582
+0.0977769
+0.0990202
+0.100296
+0.101603
+0.102935
+0.104274
+0.105641
+0.107032
+0.108445
+0.109874
+0.111326
+0.112802
+0.114301
+0.115822
+0.117364
+0.118926
+0.120508
+0.122109
+0.123728
+0.125364
+0.127015
+0.128679
+0.130359
+0.131073
+0.13177
+0.0979429
+0.096174
+0.0944225
+0.0926879
+0.090973
+0.0892789
+0.0876068
+0.085958
+0.0843339
+0.0827359
+0.0811656
+0.0796247
+0.0781147
+0.0766376
+0.0751954
+0.07379
+0.0724236
+0.0710985
+0.0698169
+0.0685814
+0.0673945
+0.0662588
+0.0651769
+0.0641505
+0.0631729
+0.0622571
+0.0614058
+0.0606217
+0.0599075
+0.0592658
+0.0586988
+0.0582088
+0.0577978
+0.0574673
+0.0572189
+0.0570536
+0.0569721
+0.0569748
+0.0570616
+0.0572322
+0.0574859
+0.0578215
+0.0582377
+0.058725
+0.0592812
+0.0599124
+0.0606163
+0.0613902
+0.0622317
+0.0631381
+0.0641065
+0.0651342
+0.0662185
+0.0673565
+0.0685458
+0.0697835
+0.0710672
+0.0723945
+0.073763
+0.0751704
+0.0766134
+0.0780843
+0.0795881
+0.0811232
+0.0826879
+0.0842804
+0.0858993
+0.0872876
+0.0882546
+0.0892648
+0.0903168
+0.0914093
+0.0925407
+0.0937097
+0.0949143
+0.096147
+0.0974135
+0.0987123
+0.100042
+0.101377
+0.102729
+0.104108
+0.105515
+0.106948
+0.108406
+0.109878
+0.111373
+0.112891
+0.114431
+0.115991
+0.117571
+0.119165
+0.120779
+0.12241
+0.124059
+0.125724
+0.127399
+0.129083
+0.129959
+0.130663
+0.0973787
+0.0955993
+0.0938372
+0.0920915
+0.0903653
+0.0886596
+0.0869756
+0.0853146
+0.083678
+0.0820673
+0.0804839
+0.0789296
+0.0774061
+0.0759153
+0.074459
+0.0730395
+0.0716588
+0.0703192
+0.0690232
+0.0677732
+0.0665719
+0.0654219
+0.064326
+0.0632858
+0.0622946
+0.0613657
+0.0605018
+0.0597059
+0.0589806
+0.0583287
+0.0577525
+0.0572544
+0.0568364
+0.0565004
+0.0562477
+0.0560795
+0.0559966
+0.0559993
+0.0560877
+0.0562613
+0.0565193
+0.0568606
+0.0572837
+0.0577854
+0.0583507
+0.0589918
+0.0597065
+0.0604921
+0.0613459
+0.0622652
+0.0632469
+0.0642884
+0.0653867
+0.066539
+0.0677426
+0.0689947
+0.0702929
+0.0716345
+0.0730172
+0.0744387
+0.0758968
+0.0773874
+0.0789045
+0.0804527
+0.0820301
+0.0836352
+0.084581
+0.0855224
+0.0865091
+0.0875394
+0.088612
+0.0897252
+0.0908776
+0.0920641
+0.0932831
+0.0945371
+0.0958248
+0.0971449
+0.0984825
+0.0998241
+0.101195
+0.102595
+0.104022
+0.105475
+0.106954
+0.108455
+0.109964
+0.111495
+0.113048
+0.114622
+0.116216
+0.117829
+0.11946
+0.121109
+0.122775
+0.124444
+0.126129
+0.12783
+0.128874
+0.129583
+0.0968608
+0.0950717
+0.0932996
+0.0915437
+0.0898069
+0.0880904
+0.0863953
+0.084723
+0.0830747
+0.081452
+0.0798565
+0.0782897
+0.0767535
+0.0752498
+0.0737804
+0.0723475
+0.0709533
+0.0696002
+0.0682905
+0.0670269
+0.065812
+0.0646484
+0.0635392
+0.0624859
+0.0614818
+0.0605404
+0.0596646
+0.0588574
+0.0581215
+0.0574598
+0.0568748
+0.056369
+0.0559444
+0.055603
+0.0553462
+0.0551753
+0.055091
+0.0550938
+0.0551836
+0.05536
+0.0556222
+0.055969
+0.0563988
+0.0569097
+0.0574886
+0.0581392
+0.0588643
+0.059661
+0.0605265
+0.061458
+0.0624525
+0.063507
+0.0646185
+0.0657843
+0.0670014
+0.0682672
+0.0695789
+0.070934
+0.0723301
+0.0737649
+0.075236
+0.0767416
+0.0782763
+0.0798366
+0.0810371
+0.0819021
+0.082816
+0.0837773
+0.0847842
+0.0858353
+0.0869289
+0.0880634
+0.0892305
+0.0904346
+0.0916752
+0.092951
+0.0942603
+0.0955987
+0.0969307
+0.0982935
+0.0996858
+0.101106
+0.102554
+0.104028
+0.105525
+0.10703
+0.108558
+0.110109
+0.111681
+0.113274
+0.114887
+0.116518
+0.118168
+0.119826
+0.121497
+0.123183
+0.124885
+0.126603
+0.127817
+0.128531
+0.0963898
+0.0945919
+0.0928106
+0.0910453
+0.0892988
+0.0875723
+0.085867
+0.0841842
+0.0825252
+0.0808915
+0.0792847
+0.0777064
+0.0761584
+0.0746426
+0.0731611
+0.0717158
+0.0703091
+0.0689433
+0.067621
+0.0663446
+0.0651169
+0.0639407
+0.062819
+0.0617534
+0.0607372
+0.0597841
+0.058897
+0.0580791
+0.0573333
+0.0566624
+0.0560691
+0.0555559
+0.0551251
+0.0547785
+0.0545179
+0.0543443
+0.0542588
+0.0542616
+0.0543528
+0.0545319
+0.054798
+0.05515
+0.0555861
+0.0561045
+0.056698
+0.0573577
+0.0580925
+0.0588996
+0.0597762
+0.0607192
+0.0617255
+0.0627922
+0.0639163
+0.0650946
+0.0663244
+0.0676028
+0.0689272
+0.0702949
+0.0717034
+0.0731504
+0.0746337
+0.0761512
+0.0776281
+0.0784201
+0.0792538
+0.080138
+0.0810718
+0.0820535
+0.0830814
+0.0841537
+0.0852667
+0.086415
+0.087603
+0.0888292
+0.0900919
+0.0913898
+0.0927212
+0.0940504
+0.0954041
+0.0967884
+0.098202
+0.0996438
+0.101112
+0.102603
+0.104104
+0.105629
+0.107178
+0.108748
+0.11034
+0.111952
+0.113583
+0.115232
+0.116886
+0.118557
+0.120245
+0.121949
+0.123668
+0.125402
+0.126788
+0.127509
+0.0959666
+0.0941606
+0.092371
+0.0905971
+0.0888419
+0.0871063
+0.0853917
+0.0836993
+0.0820305
+0.0803867
+0.0787696
+0.0771808
+0.0756221
+0.0740953
+0.0726026
+0.071146
+0.0697278
+0.0683504
+0.0670163
+0.0657282
+0.0644888
+0.063301
+0.0621676
+0.0610907
+0.0600633
+0.0590993
+0.0582019
+0.057374
+0.0566189
+0.0559394
+0.0553384
+0.0548184
+0.0543817
+0.0540304
+0.0537661
+0.0535901
+0.0535033
+0.0535062
+0.0535987
+0.0537803
+0.0540501
+0.054407
+0.054849
+0.0553743
+0.0559804
+0.0566501
+0.0573939
+0.0582108
+0.0590976
+0.0600512
+0.0610686
+0.0621466
+0.0632821
+0.064472
+0.0657134
+0.0670035
+0.0683395
+0.0697187
+0.0711387
+0.0725969
+0.0740913
+0.0750726
+0.0758285
+0.0766388
+0.0774914
+0.0783955
+0.0793498
+0.0803525
+0.0814019
+0.0824904
+0.0836195
+0.0847901
+0.0860005
+0.0872492
+0.0885345
+0.0898327
+0.0911598
+0.0925176
+0.0939037
+0.0953098
+0.096745
+0.0982082
+0.0996879
+0.101185
+0.102707
+0.104253
+0.105821
+0.107412
+0.109023
+0.110654
+0.112299
+0.113953
+0.115625
+0.117314
+0.11902
+0.120741
+0.122477
+0.124228
+0.12579
+0.126516
+0.0955918
+0.0937785
+0.0919815
+0.0901999
+0.0884368
+0.0866931
+0.0849702
+0.0832692
+0.0815916
+0.0799388
+0.0783125
+0.0767142
+0.0751458
+0.0736092
+0.0721064
+0.0706395
+0.069211
+0.0678231
+0.0664784
+0.0651797
+0.0639296
+0.0627312
+0.0615874
+0.0605002
+0.0594626
+0.0584887
+0.0575817
+0.0567448
+0.0559812
+0.0552939
+0.0546857
+0.0541595
+0.0537174
+0.0533617
+0.0530941
+0.0529159
+0.052828
+0.0528309
+0.0529246
+0.0531085
+0.0533817
+0.053743
+0.0541905
+0.054722
+0.0553353
+0.0560193
+0.0567714
+0.0575971
+0.0584932
+0.0594565
+0.0604839
+0.0615721
+0.062718
+0.0639184
+0.0651704
+0.066471
+0.0678175
+0.0692071
+0.0706372
+0.07189
+0.0725582
+0.0732746
+0.0740488
+0.0748675
+0.07574
+0.0766651
+0.0776411
+0.0786659
+0.0797375
+0.080846
+0.0819977
+0.0831911
+0.0844245
+0.0856731
+0.0869578
+0.0882747
+0.0896227
+0.0910034
+0.0924155
+0.0938574
+0.0953161
+0.0967846
+0.0982771
+0.0997954
+0.101338
+0.102905
+0.104494
+0.106104
+0.107735
+0.109375
+0.11103
+0.112703
+0.114393
+0.1161
+0.117823
+0.119562
+0.121315
+0.123082
+0.124822
+0.125427
+0.0952658
+0.0934462
+0.0916427
+0.0898544
+0.0880844
+0.0863336
+0.0846033
+0.0828948
+0.0812095
+0.0795488
+0.0779143
+0.0763077
+0.0747307
+0.0731854
+0.0716737
+0.0701978
+0.0687601
+0.0673629
+0.0660089
+0.0647007
+0.0634412
+0.0622334
+0.0610803
+0.0599838
+0.0589372
+0.0579544
+0.0570389
+0.056194
+0.0554228
+0.0547285
+0.054114
+0.0535821
+0.0531352
+0.0527756
+0.052505
+0.0523248
+0.0522359
+0.0522388
+0.0523335
+0.0525195
+0.0527958
+0.0531611
+0.0536134
+0.0541506
+0.0547703
+0.0554653
+0.0562248
+0.0570584
+0.0579628
+0.0589348
+0.0599711
+0.0610685
+0.0622236
+0.0634334
+0.0646948
+0.0660048
+0.0673606
+0.0687578
+0.0694415
+0.0700656
+0.0707521
+0.0714985
+0.0722794
+0.0731171
+0.0740102
+0.0749567
+0.0759546
+0.0770019
+0.0780964
+0.0792281
+0.0804029
+0.0815956
+0.0828276
+0.0840987
+0.0854046
+0.0867419
+0.0881133
+0.0895173
+0.0909524
+0.0924172
+0.0938937
+0.0953812
+0.0968953
+0.0984349
+0.0999988
+0.101586
+0.103195
+0.104825
+0.106461
+0.108116
+0.10979
+0.111481
+0.11319
+0.114915
+0.116655
+0.118411
+0.120181
+0.121964
+0.123699
+0.124279
+0.0949811
+0.0931559
+0.0913466
+0.0895543
+0.08778
+0.086025
+0.0842904
+0.0825769
+0.0808849
+0.0792174
+0.0775759
+0.0759621
+0.0743779
+0.0728251
+0.0713057
+0.0698221
+0.0683765
+0.0669713
+0.0656092
+0.0642929
+0.0630252
+0.0618093
+0.0606481
+0.0595437
+0.0584891
+0.0574987
+0.0565759
+0.0557239
+0.0549461
+0.0542457
+0.0536257
+0.0530889
+0.0526378
+0.0522748
+0.0520016
+0.0518196
+0.0517299
+0.0517328
+0.0518285
+0.0520163
+0.0522952
+0.0526639
+0.0531205
+0.0536627
+0.0542879
+0.0549889
+0.055755
+0.0565955
+0.0575072
+0.0584868
+0.0595309
+0.0606362
+0.0617994
+0.0630174
+0.0642869
+0.0656051
+0.0665388
+0.0670468
+0.0676221
+0.0682628
+0.0689672
+0.0697329
+0.0705328
+0.071391
+0.0723054
+0.0732739
+0.0742945
+0.0753649
+0.0764828
+0.0776131
+0.0787856
+0.0800009
+0.0812571
+0.082551
+0.0838765
+0.0852377
+0.086633
+0.0880606
+0.0895191
+0.0910069
+0.0924983
+0.0940078
+0.0955437
+0.0971048
+0.0986897
+0.100298
+0.101923
+0.103558
+0.105213
+0.106887
+0.10858
+0.11029
+0.112016
+0.113759
+0.115517
+0.11729
+0.119076
+0.120876
+0.122573
+0.123158
+0.0947446
+0.0929148
+0.0911006
+0.0893034
+0.0875241
+0.0857638
+0.0840238
+0.0823053
+0.0806097
+0.0789385
+0.0772932
+0.0756756
+0.0740874
+0.0725291
+0.0710035
+0.0695134
+0.0680612
+0.0666494
+0.0652805
+0.0639575
+0.0626831
+0.0614603
+0.0602924
+0.0591814
+0.0581203
+0.0571235
+0.0561945
+0.0553366
+0.0545533
+0.0538478
+0.0532231
+0.0526822
+0.0522277
+0.0518617
+0.0515864
+0.0514029
+0.0513125
+0.0513154
+0.0514118
+0.0516011
+0.0518824
+0.052254
+0.0527141
+0.0532604
+0.0538903
+0.0545964
+0.0553679
+0.0562142
+0.057132
+0.0581179
+0.0591685
+0.0602805
+0.0614504
+0.0626752
+0.0638604
+0.0642541
+0.0647118
+0.0652341
+0.0658252
+0.0664833
+0.0672063
+0.0679914
+0.0688116
+0.069691
+0.0706275
+0.0716187
+0.072651
+0.0737337
+0.0748411
+0.0759933
+0.0771906
+0.0784308
+0.0797119
+0.0810283
+0.0823783
+0.0837639
+0.0851833
+0.0866348
+0.0881169
+0.089628
+0.0911342
+0.092666
+0.0942238
+0.0958063
+0.0974124
+0.0990325
+0.100666
+0.102321
+0.103996
+0.105689
+0.1074
+0.109129
+0.110874
+0.112634
+0.11441
+0.116195
+0.11797
+0.119759
+0.121469
+0.122061
+0.0945583
+0.0927247
+0.0909068
+0.0891057
+0.0873223
+0.0855579
+0.0838136
+0.0820907
+0.0803906
+0.0787147
+0.0770647
+0.0754422
+0.073849
+0.0722871
+0.0707586
+0.0692656
+0.0678106
+0.066396
+0.0650241
+0.0636957
+0.062416
+0.0611879
+0.0600147
+0.0588984
+0.0578321
+0.0568303
+0.0558964
+0.0550339
+0.0542462
+0.0535366
+0.0529083
+0.0523641
+0.0519068
+0.0515386
+0.0512615
+0.0510769
+0.0509858
+0.0509888
+0.0510858
+0.0512764
+0.0515593
+0.0519333
+0.0523962
+0.0529458
+0.0535794
+0.0542896
+0.0550653
+0.0559162
+0.0568388
+0.0578297
+0.0588855
+0.0600027
+0.061178
+0.0617014
+0.0620314
+0.0624366
+0.0629082
+0.0634453
+0.0640529
+0.064729
+0.0654714
+0.0662693
+0.0671102
+0.0680035
+0.0689505
+0.0699533
+0.0710096
+0.0720936
+0.0732235
+0.0744009
+0.0756234
+0.0768888
+0.0781952
+0.0795368
+0.0809117
+0.082322
+0.0837658
+0.0852414
+0.08674
+0.0882604
+0.0898029
+0.0913569
+0.0929366
+0.0945407
+0.0961546
+0.0977875
+0.0994418
+0.101117
+0.102811
+0.104523
+0.106254
+0.108
+0.109755
+0.111504
+0.113268
+0.115047
+0.116839
+0.118646
+0.120386
+0.120984
+0.0944224
+0.0925862
+0.0907655
+0.0889615
+0.0871752
+0.0854077
+0.0836603
+0.0819342
+0.0802308
+0.0785515
+0.0768979
+0.0752718
+0.073675
+0.0721093
+0.070577
+0.0690801
+0.067621
+0.0662023
+0.0648266
+0.0634967
+0.0622156
+0.0609862
+0.0598118
+0.0586957
+0.0576258
+0.0566203
+0.0556829
+0.0548171
+0.0540262
+0.0533137
+0.0526827
+0.0521362
+0.0516769
+0.051307
+0.0510286
+0.0508432
+0.0507517
+0.0507547
+0.0508522
+0.0510436
+0.0513279
+0.0517034
+0.0521684
+0.0527204
+0.0533566
+0.0540698
+0.0548486
+0.0557028
+0.0566289
+0.0576234
+0.0586829
+0.0593902
+0.0596042
+0.0598865
+0.0602265
+0.0606438
+0.0611298
+0.0616824
+0.0623072
+0.063002
+0.0637407
+0.0645403
+0.0654034
+0.0663194
+0.0672901
+0.0683173
+0.0693756
+0.0704811
+0.0716365
+0.0728395
+0.0740877
+0.075379
+0.0767111
+0.0780783
+0.0794784
+0.0809137
+0.0823819
+0.0838669
+0.0853823
+0.0869264
+0.0884979
+0.0900821
+0.0916824
+0.0932907
+0.0949223
+0.096576
+0.0982508
+0.0999455
+0.101659
+0.103378
+0.105096
+0.106831
+0.108583
+0.11035
+0.112133
+0.113929
+0.115739
+0.117562
+0.119334
+0.119932
+0.0943373
+0.0924993
+0.0906769
+0.0888711
+0.087083
+0.0853136
+0.0835642
+0.081836
+0.0801305
+0.0784491
+0.0767933
+0.075165
+0.0735658
+0.0719978
+0.070463
+0.0689636
+0.0675021
+0.0660808
+0.0647025
+0.06337
+0.0620862
+0.0608542
+0.0596773
+0.0585586
+0.0575017
+0.0564946
+0.0555551
+0.0546872
+0.0538945
+0.0531802
+0.0525476
+0.0519997
+0.0515391
+0.0511683
+0.0508891
+0.0507032
+0.0506115
+0.0506145
+0.0507122
+0.0509041
+0.0511892
+0.0515658
+0.052032
+0.0525854
+0.0532232
+0.0539381
+0.0547189
+0.055575
+0.0565032
+0.0573713
+0.0574485
+0.0575864
+0.0578071
+0.0580977
+0.0584481
+0.0588779
+0.0593789
+0.0599477
+0.0605803
+0.0612645
+0.0620186
+0.0628401
+0.0637263
+0.0646657
+0.0656608
+0.0666908
+0.0677693
+0.0689005
+0.070082
+0.0713112
+0.0725858
+0.0739033
+0.0752615
+0.0766546
+0.078079
+0.0795325
+0.0810104
+0.0825201
+0.0840597
+0.0856277
+0.0872226
+0.0888344
+0.0904376
+0.0920649
+0.0937152
+0.0953873
+0.0970736
+0.0987579
+0.10046
+0.10218
+0.103918
+0.105672
+0.107443
+0.109229
+0.111029
+0.112843
+0.11467
+0.11651
+0.118308
+0.118909
+0.094298
+0.0924643
+0.0906412
+0.0888346
+0.0870458
+0.0852756
+0.0835254
+0.0817964
+0.0800901
+0.0784078
+0.0767511
+0.0751219
+0.0735218
+0.0719528
+0.070417
+0.0689166
+0.0674541
+0.0660318
+0.0646525
+0.0633189
+0.062034
+0.060801
+0.059623
+0.0585033
+0.0574453
+0.0564526
+0.0555135
+0.054645
+0.0538516
+0.0531367
+0.0525036
+0.0519552
+0.0514943
+0.0511231
+0.0508437
+0.0506576
+0.0505658
+0.0505688
+0.0506666
+0.0508587
+0.051144
+0.051521
+0.0519876
+0.0525414
+0.0531798
+0.0538953
+0.0546766
+0.0555335
+0.0555931
+0.055605
+0.0556618
+0.0558041
+0.0560318
+0.056336
+0.056685
+0.0571129
+0.0576209
+0.0582037
+0.0588473
+0.0595514
+0.0603269
+0.0611711
+0.0620811
+0.0630447
+0.0640434
+0.065092
+0.0661965
+0.0673541
+0.0685623
+0.0698183
+0.0711195
+0.0724637
+0.0738475
+0.0752585
+0.0767023
+0.0781724
+0.0796756
+0.08121
+0.082774
+0.0843659
+0.085944
+0.0875453
+0.0891716
+0.0908216
+0.0924941
+0.094165
+0.0958501
+0.097553
+0.099275
+0.101015
+0.102773
+0.104546
+0.106336
+0.10814
+0.109958
+0.111789
+0.113634
+0.11549
+0.117281
+0.117871
+0.0943048
+0.0924726
+0.0906564
+0.0888522
+0.0870637
+0.0852939
+0.0835441
+0.0818155
+0.0801096
+0.0784277
+0.0767715
+0.0751426
+0.073543
+0.0719745
+0.0704392
+0.0689393
+0.0674772
+0.0660554
+0.0646766
+0.0633435
+0.0620592
+0.0608267
+0.0596491
+0.05853
+0.0574725
+0.0564803
+0.0555567
+0.0546905
+0.0538978
+0.0531836
+0.052551
+0.0520031
+0.0515426
+0.0511718
+0.0508927
+0.0507067
+0.050615
+0.050618
+0.0507157
+0.0509077
+0.0511927
+0.0515692
+0.0520354
+0.0525888
+0.0532266
+0.0539415
+0.0540997
+0.0539345
+0.0538577
+0.053835
+0.0538918
+0.0540375
+0.0542669
+0.0545452
+0.0549024
+0.055344
+0.0558681
+0.0564662
+0.05714
+0.0578705
+0.0586682
+0.0595359
+0.0604706
+0.0614381
+0.0624536
+0.0635284
+0.0646596
+0.0658443
+0.0670797
+0.0683629
+0.0696914
+0.0710616
+0.0724607
+0.0738936
+0.0753548
+0.0768506
+0.0783792
+0.0799385
+0.0814971
+0.0830685
+0.0846675
+0.0862925
+0.087942
+0.0896046
+0.091269
+0.0929538
+0.0946581
+0.0963821
+0.0981247
+0.0998849
+0.101662
+0.103455
+0.105263
+0.107085
+0.10892
+0.110769
+0.11263
+0.114503
+0.116186
+0.116797
+0.0943623
+0.0925313
+0.0907163
+0.0889181
+0.0871367
+0.0853684
+0.0836202
+0.0818932
+0.0801889
+0.0785087
+0.0768543
+0.0752272
+0.0736294
+0.0720628
+0.0705294
+0.0690315
+0.0675714
+0.0661516
+0.0647748
+0.0634439
+0.0621616
+0.0609311
+0.0597557
+0.0586385
+0.057583
+0.0565927
+0.0556711
+0.0548104
+0.0540195
+0.0533069
+0.0526758
+0.0521292
+0.0516698
+0.0512999
+0.0510215
+0.050836
+0.0507445
+0.0507475
+0.050845
+0.0510365
+0.0513207
+0.0516964
+0.0521614
+0.0527135
+0.053001
+0.0526587
+0.0524059
+0.0522358
+0.052114
+0.0520807
+0.0521394
+0.0522887
+0.0524963
+0.0527812
+0.0531502
+0.0536063
+0.0541465
+0.0547613
+0.0554558
+0.0562247
+0.0570455
+0.0579375
+0.0588703
+0.0598592
+0.0609011
+0.0620028
+0.0631614
+0.0643737
+0.0656367
+0.0669476
+0.0683026
+0.0696882
+0.0711089
+0.0725601
+0.0740476
+0.0755693
+0.077105
+0.0786421
+0.0802097
+0.0818059
+0.083429
+0.0850776
+0.0867222
+0.0883866
+0.090071
+0.0917765
+0.0935023
+0.0952472
+0.0970101
+0.0987902
+0.100587
+0.102398
+0.104224
+0.106064
+0.107917
+0.109783
+0.111657
+0.113507
+0.115122
+0.115739
+0.0944707
+0.0926419
+0.090829
+0.0890331
+0.0872553
+0.0854967
+0.0837535
+0.0820294
+0.0803279
+0.0786507
+0.0769993
+0.0753754
+0.0737808
+0.0722174
+0.0706874
+0.0691929
+0.0677363
+0.0663201
+0.0649469
+0.0636195
+0.0623408
+0.061114
+0.0599421
+0.0588285
+0.0577765
+0.0567896
+0.0558712
+0.0550136
+0.0542256
+0.0535158
+0.0528872
+0.0523428
+0.0518853
+0.051517
+0.0512397
+0.0510551
+0.050964
+0.050967
+0.051064
+0.0512546
+0.0515377
+0.0519118
+0.0522885
+0.0518079
+0.0513632
+0.0509916
+0.050712
+0.0505241
+0.050395
+0.0503605
+0.0504213
+0.0505437
+0.0507584
+0.0510503
+0.0514317
+0.0519029
+0.0524577
+0.053092
+0.0538081
+0.0546028
+0.0554617
+0.0563503
+0.0573046
+0.05832
+0.0593888
+0.0605181
+0.0617046
+0.0629449
+0.064236
+0.0655739
+0.0669443
+0.0683513
+0.069791
+0.0712689
+0.0727775
+0.074275
+0.0758063
+0.0773692
+0.0789621
+0.0805829
+0.0822159
+0.0838552
+0.0855184
+0.0872029
+0.0889095
+0.0906369
+0.092384
+0.0941496
+0.0959327
+0.0977324
+0.0995478
+0.101378
+0.103222
+0.10508
+0.10695
+0.108798
+0.110653
+0.112519
+0.114088
+0.11471
+0.0946297
+0.092804
+0.0909943
+0.0892018
+0.0874274
+0.0856723
+0.0839377
+0.0822237
+0.0805264
+0.0788534
+0.0772063
+0.0755868
+0.0739968
+0.0724381
+0.0709128
+0.0694232
+0.0679715
+0.0665603
+0.0651921
+0.0638698
+0.0625963
+0.0613745
+0.0602077
+0.0590991
+0.058052
+0.0570699
+0.0561561
+0.0553029
+0.0545191
+0.0538131
+0.0531881
+0.0526468
+0.052192
+0.0518258
+0.0515502
+0.0513667
+0.0512761
+0.0512791
+0.0513756
+0.051565
+0.0518464
+0.0512583
+0.0506758
+0.0501788
+0.0497104
+0.049326
+0.0490364
+0.0488292
+0.0487139
+0.0486782
+0.0487101
+0.0488347
+0.0490551
+0.0493547
+0.0497491
+0.0502361
+0.0508072
+0.0514619
+0.0522003
+0.0530191
+0.0538907
+0.0548002
+0.055781
+0.0568235
+0.05792
+0.0590774
+0.0602922
+0.061561
+0.0628795
+0.0642327
+0.065624
+0.0670507
+0.0685168
+0.0699783
+0.0714673
+0.0729917
+0.0745493
+0.0761381
+0.0777561
+0.0793676
+0.0810053
+0.0826666
+0.0843511
+0.0860585
+0.0877873
+0.0895364
+0.0913045
+0.0930906
+0.0948936
+0.0967127
+0.0985468
+0.100395
+0.102257
+0.104107
+0.105953
+0.107811
+0.109683
+0.111565
+0.113026
+0.113614
+0.094839
+0.0930174
+0.091212
+0.0894239
+0.087654
+0.0859035
+0.0841736
+0.0824656
+0.080781
+0.0791162
+0.0774747
+0.0758609
+0.0742768
+0.0727241
+0.0712049
+0.0697215
+0.0682762
+0.0668714
+0.0655097
+0.064194
+0.062927
+0.0617118
+0.0605515
+0.0594493
+0.0584085
+0.0574324
+0.0565245
+0.055677
+0.0548985
+0.0541975
+0.0535769
+0.0530396
+0.0525882
+0.0522248
+0.0519513
+0.0517692
+0.0516794
+0.0516823
+0.051778
+0.0511434
+0.0503978
+0.0497088
+0.0491079
+0.0485799
+0.0480861
+0.047688
+0.0473878
+0.0471743
+0.0470574
+0.0470093
+0.0470365
+0.0471654
+0.0473873
+0.0476975
+0.0481055
+0.0486089
+0.0491989
+0.0498747
+0.0506363
+0.0514799
+0.0523595
+0.0532951
+0.054303
+0.0553733
+0.0564979
+0.0576838
+0.0589274
+0.0602239
+0.061552
+0.0629142
+0.0643222
+0.0657658
+0.0672054
+0.0686846
+0.070201
+0.0717524
+0.0733363
+0.0749313
+0.0765386
+0.0781739
+0.0798331
+0.0815173
+0.0832252
+0.0849551
+0.086706
+0.0884764
+0.0902653
+0.0920715
+0.0938941
+0.0957322
+0.0975848
+0.0994354
+0.101272
+0.103122
+0.104985
+0.106861
+0.108748
+0.110646
+0.111886
+0.112479
+0.0950984
+0.0932818
+0.0914816
+0.0896988
+0.0879345
+0.0861897
+0.0844657
+0.0827637
+0.0810853
+0.0794317
+0.0778038
+0.0761971
+0.07462
+0.0730746
+0.0715629
+0.0700871
+0.0686495
+0.0672525
+0.0658987
+0.0645909
+0.0633318
+0.0621246
+0.0609721
+0.0598776
+0.0588444
+0.0578757
+0.0569748
+0.0561341
+0.0553621
+0.054667
+0.0540518
+0.0535193
+0.0530719
+0.0527119
+0.0524409
+0.0522605
+0.0521715
+0.051406
+0.0505012
+0.0496766
+0.0489153
+0.0482051
+0.0475852
+0.0470171
+0.0465067
+0.0460949
+0.0457843
+0.0455648
+0.0454411
+0.0453787
+0.0454069
+0.0455405
+0.0457637
+0.0460848
+0.0465069
+0.0470274
+0.047637
+0.0483347
+0.0491202
+0.0499894
+0.0508765
+0.0518389
+0.0528746
+0.053973
+0.0551262
+0.056341
+0.0576005
+0.0588912
+0.0602339
+0.0616252
+0.063036
+0.064462
+0.06593
+0.0674372
+0.0689811
+0.0705563
+0.072128
+0.0737313
+0.0753625
+0.0770199
+0.0787034
+0.0804113
+0.0821422
+0.0838945
+0.085667
+0.0874585
+0.0892678
+0.0910938
+0.0929356
+0.0947869
+0.0966122
+0.0984524
+0.100307
+0.102174
+0.104054
+0.105947
+0.107843
+0.109741
+0.110777
+0.111376
+0.0954073
+0.0935968
+0.0918028
+0.0900263
+0.0882685
+0.0865305
+0.0848134
+0.0831186
+0.0814474
+0.0798014
+0.0781821
+0.0765913
+0.0750257
+0.0734888
+0.0719858
+0.0705189
+0.0690902
+0.0677023
+0.0663577
+0.0650591
+0.0638093
+0.0626113
+0.0614679
+0.0603825
+0.059358
+0.0583978
+0.0575051
+0.0566723
+0.0559077
+0.0552195
+0.0546105
+0.0540835
+0.0536408
+0.0532846
+0.0530166
+0.0521169
+0.0510463
+0.050039
+0.0491088
+0.0482602
+0.0474845
+0.0467525
+0.0461047
+0.0455005
+0.0449785
+0.0445525
+0.0442311
+0.0440054
+0.0438609
+0.0437971
+0.0438262
+0.0439634
+0.0441891
+0.0445215
+0.0449583
+0.0454966
+0.0461264
+0.0468465
+0.0476566
+0.0485254
+0.0494461
+0.0504358
+0.0514997
+0.0526267
+0.0538009
+0.0550103
+0.0562751
+0.0575955
+0.0589658
+0.06034
+0.0617522
+0.0632072
+0.0647037
+0.0662389
+0.0677844
+0.0693498
+0.0709482
+0.0725745
+0.0742295
+0.0759117
+0.0776192
+0.0793504
+0.0811039
+0.0828782
+0.084672
+0.0864841
+0.0883133
+0.0901587
+0.0919776
+0.0938064
+0.0956504
+0.0975087
+0.0993805
+0.101265
+0.103162
+0.105057
+0.106959
+0.108872
+0.1097
+0.110305
+0.0957654
+0.0939617
+0.0921748
+0.0904057
+0.0886554
+0.0869251
+0.085216
+0.0835293
+0.0818666
+0.0802291
+0.0786187
+0.0770368
+0.0754854
+0.0739657
+0.0724725
+0.0710156
+0.0695972
+0.0682196
+0.0668854
+0.0655973
+0.0643579
+0.0631702
+0.0620372
+0.0609619
+0.0599474
+0.0589968
+0.0581132
+0.0572893
+0.056533
+0.0558525
+0.0552505
+0.0547296
+0.0542922
+0.0532148
+0.0520087
+0.0508526
+0.0497541
+0.0487201
+0.0477642
+0.0468913
+0.0461024
+0.0453525
+0.044662
+0.044038
+0.0434998
+0.0430607
+0.0427295
+0.0424832
+0.0423164
+0.0422516
+0.0422818
+0.0424253
+0.0426688
+0.043013
+0.043465
+0.0440215
+0.0446721
+0.0454055
+0.046204
+0.0470789
+0.0480368
+0.0490738
+0.0501828
+0.0512945
+0.052471
+0.0537104
+0.0550051
+0.0563205
+0.0576745
+0.0590788
+0.0605206
+0.0620045
+0.0635217
+0.065042
+0.0665997
+0.0681912
+0.0698126
+0.0714644
+0.0731446
+0.0748511
+0.0765823
+0.0783364
+0.0801121
+0.0819079
+0.0837225
+0.0855547
+0.0873718
+0.0891874
+0.0910195
+0.0928671
+0.0947294
+0.0966054
+0.0984945
+0.100394
+0.102289
+0.104196
+0.106113
+0.108041
+0.108657
+0.109268
+0.0961721
+0.0943762
+0.0925973
+0.0908364
+0.0890945
+0.0873729
+0.0856727
+0.0839953
+0.0823419
+0.0807141
+0.0791135
+0.0775418
+0.0760007
+0.0744921
+0.0730115
+0.0715659
+0.070159
+0.068793
+0.0674705
+0.0661941
+0.0649665
+0.0637905
+0.0626691
+0.0616052
+0.0606018
+0.0596621
+0.0587889
+0.0579825
+0.0572354
+0.0565633
+0.0559689
+0.0547164
+0.0533677
+0.0520733
+0.0508381
+0.0496514
+0.0485166
+0.0474559
+0.0464742
+0.0455768
+0.0447556
+0.0439772
+0.043274
+0.042631
+0.0420689
+0.0416147
+0.0412571
+0.0409941
+0.0408206
+0.0407541
+0.0407854
+0.0409341
+0.0411961
+0.0415525
+0.0420202
+0.0425956
+0.0432445
+0.0439697
+0.04478
+0.045681
+0.0466676
+0.0477344
+0.0488561
+0.049994
+0.0512003
+0.0524473
+0.0537237
+0.0550544
+0.0564388
+0.0578731
+0.0593443
+0.0608238
+0.062333
+0.0638816
+0.0654643
+0.0670801
+0.0687278
+0.0704051
+0.0721099
+0.0738403
+0.0755946
+0.0773712
+0.079168
+0.0809763
+0.0827996
+0.0845999
+0.0864182
+0.0882534
+0.0901045
+0.0919705
+0.0938506
+0.0957438
+0.0976407
+0.0995406
+0.101451
+0.103373
+0.105305
+0.107073
+0.107649
+0.108265
+0.0966267
+0.0948394
+0.0930694
+0.0913176
+0.0895851
+0.0878731
+0.0861828
+0.0845154
+0.0828724
+0.0812553
+0.0796656
+0.0781049
+0.0765752
+0.0750782
+0.0736094
+0.0721757
+0.0707809
+0.0694271
+0.0681169
+0.0668529
+0.0656376
+0.0644739
+0.0633646
+0.0623125
+0.0613207
+0.0603922
+0.0595298
+0.0587364
+0.058012
+0.0565574
+0.0550933
+0.0536733
+0.0522913
+0.050966
+0.049702
+0.0485017
+0.0473393
+0.0462516
+0.0452438
+0.0443215
+0.0434686
+0.0426641
+0.0419274
+0.0412723
+0.0406914
+0.0402039
+0.0398256
+0.0395603
+0.039373
+0.0393071
+0.0393525
+0.0395066
+0.0397599
+0.0401291
+0.0406051
+0.0411778
+0.0418419
+0.04258
+0.0434163
+0.044345
+0.0453607
+0.0464497
+0.0475898
+0.048757
+0.0499375
+0.0511827
+0.0524864
+0.0538477
+0.0552624
+0.056715
+0.0581658
+0.0596618
+0.0611992
+0.0627719
+0.0643808
+0.0660231
+0.0676965
+0.0693987
+0.0711276
+0.0728795
+0.0746473
+0.076437
+0.0782471
+0.0800492
+0.0818513
+0.083672
+0.08551
+0.0873643
+0.0892339
+0.0911081
+0.0929956
+0.094896
+0.0968036
+0.0987219
+0.100651
+0.102591
+0.104538
+0.106093
+0.106673
+0.107295
+0.0971286
+0.0953507
+0.0935904
+0.0918485
+0.0901263
+0.0884247
+0.0867451
+0.0850888
+0.0834571
+0.0818515
+0.0802736
+0.078725
+0.0772076
+0.0757231
+0.074267
+0.0728463
+0.0714645
+0.070124
+0.0688271
+0.0675763
+0.0663743
+0.0652237
+0.0641274
+0.063088
+0.0621086
+0.061192
+0.0603318
+0.0587262
+0.0571518
+0.0556175
+0.0541284
+0.0526841
+0.0512757
+0.0499235
+0.0486324
+0.0474034
+0.0462269
+0.0451123
+0.0440785
+0.0431313
+0.0422394
+0.0414004
+0.0406385
+0.0399554
+0.0393551
+0.0388514
+0.0384599
+0.0381728
+0.0379778
+0.0378858
+0.0379196
+0.0380769
+0.0383372
+0.0387199
+0.0392125
+0.0398052
+0.040493
+0.0412552
+0.0421178
+0.0430746
+0.0441088
+0.0452221
+0.0463581
+0.0474972
+0.0487062
+0.0499785
+0.0513128
+0.0527045
+0.0541213
+0.0555534
+0.0570338
+0.0585566
+0.0601186
+0.0617189
+0.0633544
+0.0650227
+0.0667178
+0.0684344
+0.0701774
+0.0719449
+0.0737351
+0.0755421
+0.0773251
+0.0791287
+0.0809513
+0.0827917
+0.0846382
+0.0865004
+0.0883777
+0.0902691
+0.0921737
+0.0940854
+0.0960081
+0.0979421
+0.0998866
+0.101828
+0.103766
+0.105147
+0.105733
+0.10636
+0.0976751
+0.0959094
+0.0941595
+0.0924283
+0.0907171
+0.0890268
+0.0873588
+0.0857144
+0.0840948
+0.0825016
+0.0809364
+0.0794007
+0.0778964
+0.0764253
+0.0749829
+0.073576
+0.0722082
+0.0708817
+0.069599
+0.0683623
+0.0671744
+0.0660377
+0.0649551
+0.0639293
+0.0628903
+0.061191
+0.0595237
+0.0578913
+0.0562936
+0.0547352
+0.0532215
+0.0517533
+0.0503288
+0.0489568
+0.0476392
+0.0463739
+0.0451773
+0.0440521
+0.0429717
+0.0419553
+0.0410308
+0.0401697
+0.0393988
+0.0387039
+0.0380693
+0.037542
+0.0371367
+0.0368241
+0.036622
+0.0365268
+0.0365619
+0.0367197
+0.0369896
+0.0373861
+0.037887
+0.0385001
+0.039211
+0.040001
+0.04089
+0.0418663
+0.0429261
+0.0440465
+0.0451377
+0.0463046
+0.0475403
+0.048843
+0.0502075
+0.0515811
+0.0529913
+0.0544532
+0.0559607
+0.0575098
+0.0590995
+0.0607213
+0.0623722
+0.0640554
+0.0657685
+0.0675093
+0.0692756
+0.0710655
+0.0728452
+0.0746284
+0.0764327
+0.0782466
+0.0800777
+0.0819265
+0.0837917
+0.0856724
+0.0875674
+0.0894759
+0.0913915
+0.0933182
+0.0952564
+0.0972014
+0.0991323
+0.101074
+0.103026
+0.104239
+0.104829
+0.105463
+0.09826
+0.0965062
+0.0947706
+0.0930542
+0.0913566
+0.0896785
+0.0880228
+0.086391
+0.0847843
+0.0832044
+0.0816526
+0.0801307
+0.0786403
+0.0771834
+0.0757554
+0.0743632
+0.0730101
+0.0716985
+0.0704305
+0.0692088
+0.0680356
+0.0669136
+0.0656929
+0.0639239
+0.0621817
+0.0604686
+0.0587818
+0.0571283
+0.0555086
+0.0539276
+0.0523905
+0.0508989
+0.0494498
+0.0480568
+0.0467196
+0.0454267
+0.0442045
+0.0430229
+0.0418937
+0.0408505
+0.0398886
+0.0389906
+0.0381972
+0.0374831
+0.0368319
+0.0363011
+0.0358839
+0.0355592
+0.03535
+0.0352517
+0.0352881
+0.0354461
+0.0357255
+0.0361195
+0.0366301
+0.0372417
+0.0379674
+0.0388033
+0.0397359
+0.0407329
+0.041814
+0.0428723
+0.0439902
+0.045183
+0.0464485
+0.0477761
+0.0491002
+0.0504847
+0.0519242
+0.0534021
+0.0549276
+0.0564969
+0.0581064
+0.0597529
+0.0614334
+0.0631422
+0.0648794
+0.0666434
+0.0684128
+0.0701719
+0.0719544
+0.0737465
+0.0755596
+0.0773923
+0.0792431
+0.0811109
+0.0829945
+0.0848928
+0.0868047
+0.0887239
+0.0906544
+0.0925965
+0.0945257
+0.0964606
+0.0984061
+0.100362
+0.102327
+0.103369
+0.103965
+0.104603
+0.0988899
+0.0971475
+0.0954235
+0.0937191
+0.0920353
+0.0903732
+0.088734
+0.0871174
+0.0855244
+0.0839584
+0.0824208
+0.0809133
+0.0794377
+0.0779956
+0.0765828
+0.0752059
+0.0738683
+0.0725721
+0.0713197
+0.0701135
+0.0687235
+0.0668912
+0.065081
+0.0632949
+0.0615349
+0.0598034
+0.0581029
+0.0564362
+0.0547999
+0.0531979
+0.0516391
+0.0501258
+0.0486536
+0.0472121
+0.0458213
+0.0444949
+0.043235
+0.0420412
+0.0409021
+0.0398096
+0.0388102
+0.0379015
+0.0370849
+0.0363489
+0.035677
+0.0351291
+0.0347111
+0.0343875
+0.0341705
+0.034069
+0.0341065
+0.0342565
+0.0345179
+0.0349148
+0.0354342
+0.0360633
+0.0368122
+0.0376737
+0.0386015
+0.0396198
+0.0406807
+0.0417775
+0.0429199
+0.0441315
+0.0453799
+0.0466692
+0.048018
+0.0494185
+0.0508749
+0.0523824
+0.0539368
+0.055534
+0.0571707
+0.0588433
+0.0605491
+0.0622852
+0.0640316
+0.0657619
+0.0675189
+0.0693004
+0.0710919
+0.0729053
+0.0747388
+0.0765911
+0.0784608
+0.0803468
+0.0822479
+0.0841629
+0.0860852
+0.0880191
+0.08995
+0.0918767
+0.093815
+0.0957642
+0.0977229
+0.0996887
+0.101663
+0.102538
+0.103139
+0.103782
+0.099564
+0.0978336
+0.096122
+0.0944302
+0.0927592
+0.0911103
+0.0894847
+0.0878835
+0.0863083
+0.0847605
+0.0832396
+0.0817472
+0.0802869
+0.0788604
+0.0774633
+0.0761023
+0.0747808
+0.0735007
+0.0719602
+0.0700755
+0.0682092
+0.0663626
+0.0645376
+0.0627361
+0.06096
+0.0592116
+0.0574936
+0.0558043
+0.0541435
+0.0525217
+0.0509358
+0.0493791
+0.0478651
+0.0463976
+0.0449844
+0.0436326
+0.0423294
+0.0411005
+0.0399418
+0.0388274
+0.0378052
+0.0368751
+0.0360352
+0.0353114
+0.0346224
+0.0340547
+0.0336059
+0.0332411
+0.033018
+0.0329393
+0.0329747
+0.0331024
+0.0333738
+0.0337853
+0.034329
+0.0349779
+0.0357421
+0.0366034
+0.0375525
+0.0385495
+0.0395954
+0.0407115
+0.0418603
+0.0430346
+0.0442839
+0.0456042
+0.0469835
+0.048414
+0.0498997
+0.0514358
+0.0530179
+0.0546421
+0.0563046
+0.0580023
+0.0597308
+0.061426
+0.0631516
+0.0649054
+0.0666848
+0.0684747
+0.0702872
+0.0721208
+0.0739738
+0.0758447
+0.0777324
+0.0796357
+0.0815532
+0.0834781
+0.0854101
+0.087327
+0.0892566
+0.0911976
+0.0931465
+0.095106
+0.0970753
+0.0990389
+0.100995
+0.101748
+0.102353
+0.103002
+0.100281
+0.0985637
+0.096865
+0.0951864
+0.0935289
+0.0918938
+0.0902823
+0.0886956
+0.087135
+0.0856021
+0.0840983
+0.0826253
+0.0811846
+0.079776
+0.0783952
+0.0770507
+0.0753459
+0.0734464
+0.0715363
+0.0696402
+0.0677618
+0.0659027
+0.0640647
+0.0622494
+0.0604534
+0.058679
+0.0569336
+0.0552199
+0.053541
+0.0518974
+0.0502798
+0.0486973
+0.0471539
+0.0456635
+0.0442159
+0.0428228
+0.041493
+0.0402385
+0.0390542
+0.037938
+0.0368926
+0.0359377
+0.0350754
+0.0343139
+0.0336074
+0.0330075
+0.0325442
+0.0321974
+0.031967
+0.0318773
+0.0319023
+0.0320491
+0.0323293
+0.0327539
+0.0333038
+0.033945
+0.0347128
+0.0355969
+0.0365485
+0.0375305
+0.0385947
+0.0396729
+0.04079
+0.0419917
+0.0432711
+0.0446213
+0.0460302
+0.0474894
+0.0490031
+0.0505664
+0.0521749
+0.0538245
+0.0555116
+0.057181
+0.058868
+0.0605874
+0.0623362
+0.0641092
+0.0658991
+0.0677097
+0.0695422
+0.0713949
+0.0732663
+0.0751548
+0.0770595
+0.0789787
+0.0809055
+0.0828172
+0.0847361
+0.0866643
+0.0886046
+0.0905564
+0.0925188
+0.0944913
+0.0964433
+0.0984017
+0.10037
+0.101
+0.101609
+0.102252
+0.101037
+0.0993367
+0.0976514
+0.0959866
+0.0943432
+0.0927225
+0.0911256
+0.0895538
+0.0880085
+0.0864911
+0.085003
+0.0835459
+0.0821214
+0.0807312
+0.0788423
+0.0769044
+0.0749804
+0.0730714
+0.0711634
+0.0692553
+0.0673643
+0.0654921
+0.0636401
+0.0618088
+0.0599944
+0.058206
+0.056446
+0.0547171
+0.0530146
+0.0513388
+0.0497031
+0.0480893
+0.0465186
+0.0449998
+0.0435262
+0.0421103
+0.0407573
+0.0394794
+0.0382716
+0.0371518
+0.0360887
+0.035091
+0.0341908
+0.0333927
+0.0326898
+0.0320758
+0.0315989
+0.0312173
+0.0309795
+0.0308957
+0.0309248
+0.031061
+0.03135
+0.031771
+0.0323229
+0.0329854
+0.0337751
+0.0346393
+0.0355808
+0.0365967
+0.0376108
+0.0386634
+0.0398089
+0.0410393
+0.0423475
+0.0437263
+0.045163
+0.0466494
+0.0481895
+0.0497784
+0.0514115
+0.0530488
+0.0546878
+0.0563644
+0.058075
+0.0598128
+0.0615793
+0.0633703
+0.0651776
+0.0670077
+0.0688589
+0.0707295
+0.072618
+0.074523
+0.0764432
+0.078354
+0.0802565
+0.0821729
+0.0841028
+0.0860451
+0.0879991
+0.089964
+0.0919277
+0.0938781
+0.0958389
+0.0978095
+0.0997235
+0.100293
+0.100907
+0.101517
+0.101693
+0.100021
+0.0983697
+0.0967399
+0.0951326
+0.093549
+0.0919903
+0.090457
+0.0889274
+0.0874259
+0.085954
+0.084462
+0.0824816
+0.080512
+0.0785542
+0.076609
+0.0746773
+0.0727604
+0.0708356
+0.0689208
+0.0670228
+0.0651432
+0.0632828
+0.0614381
+0.0596125
+0.0578123
+0.056036
+0.0542767
+0.0525498
+0.0508587
+0.0491922
+0.047557
+0.0459681
+0.0444304
+0.0429373
+0.0415014
+0.0401278
+0.0388292
+0.0376006
+0.036456
+0.0353619
+0.0343319
+0.033407
+0.0325874
+0.0318447
+0.0312384
+0.0307333
+0.030334
+0.0300893
+0.0299848
+0.0300267
+0.0301736
+0.0304488
+0.0308692
+0.031437
+0.0321017
+0.0328798
+0.0337592
+0.0347126
+0.0356989
+0.0366755
+0.0377542
+0.0389264
+0.0401839
+0.041519
+0.0429244
+0.0443872
+0.0458986
+0.0474631
+0.0490578
+0.0506366
+0.0522594
+0.0539212
+0.055616
+0.0573445
+0.0591036
+0.0608907
+0.0626962
+0.0645224
+0.0663706
+0.068239
+0.0701262
+0.0720305
+0.0739294
+0.0758287
+0.0777308
+0.0796477
+0.0815785
+0.083522
+0.0854775
+0.0874442
+0.0893941
+0.091346
+0.0933086
+0.0952811
+0.0972587
+0.0990564
+0.0996299
+0.100248
+0.100825
+0.100975
+0.1002
+0.0990912
+0.0974735
+0.0958785
+0.0943074
+0.0927614
+0.0912419
+0.0897501
+0.0882494
+0.0862456
+0.0842501
+0.0822646
+0.0802897
+0.0783263
+0.0763753
+0.0744376
+0.0725072
+0.0705697
+0.0686474
+0.0667417
+0.064854
+0.0629859
+0.0611392
+0.0593086
+0.0574825
+0.0556827
+0.0539119
+0.0521729
+0.0504558
+0.0487704
+0.0471206
+0.0455165
+0.043963
+0.0424534
+0.0410006
+0.0396096
+0.0382935
+0.0370105
+0.0357994
+0.0346846
+0.0336613
+0.0327172
+0.0318576
+0.0310975
+0.030475
+0.0299549
+0.0295466
+0.0292833
+0.0291621
+0.0292053
+0.0293583
+0.0296616
+0.0300974
+0.0306337
+0.0313
+0.0321002
+0.0329852
+0.0339081
+0.0348239
+0.0358499
+0.0369527
+0.0381495
+0.0394318
+0.0407915
+0.0422211
+0.0437074
+0.0452416
+0.0467478
+0.0483027
+0.0499024
+0.0515432
+0.0532237
+0.05494
+0.0566891
+0.058468
+0.0602721
+0.0620922
+0.0639356
+0.0658003
+0.0676845
+0.0695657
+0.071454
+0.0733468
+0.0752479
+0.0771643
+0.079095
+0.0810389
+0.0829951
+0.0849558
+0.086897
+0.0888498
+0.0908135
+0.0927764
+0.0947387
+0.096693
+0.0984336
+0.0990107
+0.0996326
+0.100177
+0.100236
+0.0994556
+0.0987175
+0.0980228
+0.0966683
+0.0951102
+0.0935775
+0.0920714
+0.0901158
+0.0881011
+0.0860938
+0.0840948
+0.0821055
+0.0801191
+0.0781412
+0.076175
+0.0742214
+0.0722814
+0.070347
+0.0684231
+0.0665158
+0.0646238
+0.0627455
+0.0608882
+0.0590536
+0.0572221
+0.0553999
+0.0536033
+0.0518369
+0.0501041
+0.0484083
+0.0467538
+0.0451449
+0.0435847
+0.0420599
+0.0405859
+0.0391549
+0.0377968
+0.0364956
+0.0352669
+0.0341334
+0.0330759
+0.0321134
+0.0312394
+0.0304678
+0.0298275
+0.0292941
+0.0288765
+0.0286086
+0.0284846
+0.0285237
+0.0286402
+0.0289227
+0.0293663
+0.0299345
+0.030616
+0.0314357
+0.0322966
+0.0331198
+0.0340568
+0.0351057
+0.0362564
+0.0374755
+0.0387801
+0.0401618
+0.0416131
+0.0430655
+0.0445335
+0.0460544
+0.0476263
+0.0492455
+0.0509075
+0.0526082
+0.054344
+0.0561074
+0.057899
+0.0597172
+0.0615597
+0.0634163
+0.065278
+0.0671439
+0.0690288
+0.0709134
+0.0728121
+0.0747268
+0.0766562
+0.0785994
+0.0805553
+0.0824989
+0.0844397
+0.0863926
+0.0883382
+0.0902907
+0.0922538
+0.0942038
+0.0961628
+0.0978559
+0.0984363
+0.0990603
+0.0995716
+0.09954
+0.098754
+0.0980106
+0.0973108
+0.0966557
+0.0959558
+0.0940808
+0.0920487
+0.090023
+0.0879951
+0.0859751
+0.0839638
+0.0819616
+0.0799693
+0.0779877
+0.0760175
+0.0740597
+0.0721153
+0.0701761
+0.0682474
+0.066335
+0.064438
+0.0625542
+0.060691
+0.0588503
+0.0569985
+0.0551669
+0.0533623
+0.0515877
+0.0498462
+0.0481414
+0.0464774
+0.0448586
+0.0432885
+0.0417298
+0.0402203
+0.0387758
+0.0374039
+0.0361066
+0.0348642
+0.0336993
+0.0326262
+0.03165
+0.0307628
+0.029979
+0.029328
+0.0287853
+0.0283402
+0.0280451
+0.0279082
+0.0278875
+0.0280204
+0.0283087
+0.0287611
+0.0293288
+0.030024
+0.0308115
+0.031628
+0.0324604
+0.033416
+0.0344844
+0.0356555
+0.0369093
+0.0382353
+0.0396361
+0.0409974
+0.0424234
+0.0439068
+0.0454474
+0.0470396
+0.0486783
+0.0503535
+0.0520666
+0.0538144
+0.0555936
+0.0574012
+0.0592348
+0.0610727
+0.0629165
+0.0647796
+0.0666571
+0.0685337
+0.0704284
+0.0723398
+0.0742589
+0.0761916
+0.0781379
+0.0800865
+0.0820235
+0.0839513
+0.0858917
+0.0878439
+0.0898034
+0.0917508
+0.0937072
+0.0956738
+0.097324
+0.0979076
+0.0984973
+0.0990115
+0.0988875
+0.0980962
+0.0973478
+0.0966432
+0.0959835
+0.0953696
+0.0940243
+0.0919803
+0.0899431
+0.0879133
+0.0858915
+0.0838781
+0.0818738
+0.0798794
+0.0778954
+0.0759229
+0.0739626
+0.0720156
+0.0700687
+0.0681363
+0.06622
+0.0643212
+0.0624391
+0.0605724
+0.058717
+0.0568564
+0.0550201
+0.0532106
+0.0514307
+0.0496837
+0.0479732
+0.046303
+0.0446766
+0.0430574
+0.0414901
+0.0399715
+0.0385177
+0.0371363
+0.0358052
+0.0345425
+0.0333639
+0.0322837
+0.0312912
+0.0304017
+0.0295916
+0.0289186
+0.028329
+0.0278716
+0.0275714
+0.0274134
+0.0273922
+0.02753
+0.0278223
+0.0282526
+0.0287789
+0.0294556
+0.030276
+0.0310554
+0.0319028
+0.0328745
+0.03396
+0.0351459
+0.0364094
+0.0377577
+0.0390569
+0.0404332
+0.0418785
+0.04338
+0.0449321
+0.0465355
+0.0481853
+0.0498766
+0.0516056
+0.0533685
+0.0551621
+0.0569758
+0.0587848
+0.060619
+0.0624761
+0.0643428
+0.0662025
+0.068082
+0.0699795
+0.0718937
+0.0738233
+0.0757671
+0.0777124
+0.079624
+0.0815497
+0.0834884
+0.0854394
+0.0873865
+0.0893311
+0.0912868
+0.0932529
+0.0952289
+0.0968389
+0.0974254
+0.09798
+0.098497
+0.0982795
+0.0974833
+0.0967301
+0.096021
+0.095357
+0.094739
+0.0939989
+0.0919543
+0.0899165
+0.0878862
+0.0858637
+0.0838496
+0.0818447
+0.0798495
+0.0778648
+0.0758914
+0.0739303
+0.0719692
+0.0700208
+0.068087
+0.0661693
+0.064269
+0.0623878
+0.0605226
+0.058661
+0.0567986
+0.0549603
+0.0531488
+0.0513668
+0.0496175
+0.0479046
+0.0462144
+0.0445606
+0.0429371
+0.0413651
+0.0398418
+0.038381
+0.0369557
+0.0356083
+0.0343386
+0.0331528
+0.0320652
+0.0310657
+0.0301387
+0.0293214
+0.0286202
+0.0280137
+0.0275508
+0.0272471
+0.0270404
+0.0269846
+0.0271026
+0.0273659
+0.0277992
+0.0283377
+0.0290247
+0.0297476
+0.0305847
+0.0314759
+0.0324604
+0.0335592
+0.0347588
+0.0360359
+0.0372734
+0.0385889
+0.0399786
+0.0414265
+0.0429375
+0.044505
+0.0461233
+0.0477873
+0.0494923
+0.0512342
+0.0530095
+0.0547796
+0.056574
+0.0583955
+0.0602355
+0.0620637
+0.0639147
+0.0657865
+0.0676775
+0.0695861
+0.0715109
+0.0734458
+0.0753667
+0.0772743
+0.0791965
+0.0811323
+0.0830808
+0.085012
+0.0869544
+0.0889084
+0.0908733
+0.0928482
+0.0948326
+0.096401
+0.0969902
+0.0975092
+0.0980204
+0.0977051
+0.0969137
+0.0961583
+0.095445
+0.094777
+0.0941552
+0.0935805
+0.0919805
+0.0899433
+0.0879136
+0.0858917
+0.0838784
+0.0818741
+0.0798796
+0.0778957
+0.0759231
+0.0739508
+0.0719893
+0.0700414
+0.0681082
+0.0661909
+0.0642761
+0.0623796
+0.0605029
+0.0586479
+0.0568148
+0.0549769
+0.0531657
+0.0513822
+0.0496139
+0.0478806
+0.0461861
+0.044535
+0.042922
+0.0413415
+0.0398177
+0.0383228
+0.0368953
+0.0355456
+0.0342738
+0.0330856
+0.0319798
+0.0309687
+0.0300337
+0.0292134
+0.0284771
+0.0278429
+0.0273336
+0.0269931
+0.0267759
+0.0267194
+0.0268099
+0.0270754
+0.0275133
+0.0280057
+0.0286358
+0.0293574
+0.0302186
+0.0311891
+0.0321824
+0.0332904
+0.0345021
+0.0356701
+0.0369129
+0.0382285
+0.0396193
+0.0410799
+0.0426032
+0.0441826
+0.0458123
+0.0474867
+0.0491997
+0.0509309
+0.0526742
+0.0544498
+0.0562547
+0.0580433
+0.0598582
+0.0616976
+0.0635592
+0.0654413
+0.067342
+0.0692542
+0.0711556
+0.0730733
+0.074979
+0.0768961
+0.0788276
+0.0807545
+0.0826853
+0.0846245
+0.0865756
+0.088538
+0.0905109
+0.0924935
+0.0944854
+0.0960112
+0.0966027
+0.0970772
+0.0975894
+0.0971694
+0.0963736
+0.0956214
+0.0949139
+0.0942443
+0.093619
+0.093041
+0.0920588
+0.0900235
+0.0879955
+0.0859756
+0.0839643
+0.0819621
+0.0799698
+0.0779882
+0.076007
+0.0740351
+0.0720759
+0.0701203
+0.0681752
+0.0662453
+0.0643322
+0.0624373
+0.0605624
+0.0587094
+0.0568804
+0.0550732
+0.0532476
+0.0514502
+0.0496843
+0.0479536
+0.0462618
+0.044593
+0.0429612
+0.0413811
+0.0398588
+0.0383897
+0.0369648
+0.0356177
+0.0343489
+0.0331463
+0.032031
+0.0309476
+0.0299781
+0.0291353
+0.0283879
+0.0277355
+0.0272243
+0.0268823
+0.0266635
+0.0266051
+0.0266937
+0.0269342
+0.0272728
+0.0277649
+0.0284003
+0.0291273
+0.029995
+0.030978
+0.032031
+0.0331284
+0.0342258
+0.0353837
+0.0366362
+0.0379738
+0.0393735
+0.0408394
+0.0423679
+0.0439525
+0.0455873
+0.0472598
+0.0489542
+0.0506708
+0.0524228
+0.0541676
+0.0559368
+0.0577348
+0.0595592
+0.0614075
+0.0632777
+0.0651611
+0.0670355
+0.0689286
+0.0708388
+0.0727432
+0.0746535
+0.0765672
+0.0784796
+0.0804063
+0.0823452
+0.0842922
+0.0862509
+0.0882205
+0.0902003
+0.0921896
+0.0941879
+0.0955788
+0.0962246
+0.0966917
+0.097206
+0.0966803
+0.0958805
+0.0951244
+0.0944131
+0.0937476
+0.0931264
+0.0925502
+0.0920177
+0.0901567
+0.0881319
+0.0861152
+0.0841072
+0.0821028
+0.0801063
+0.0781202
+0.0761453
+0.0741652
+0.0721961
+0.0702401
+0.0682983
+0.0663721
+0.0644627
+0.0625718
+0.060701
+0.0588524
+0.0570279
+0.0552236
+0.0534032
+0.0516112
+0.049851
+0.0481242
+0.0464099
+0.0447371
+0.0431108
+0.0415364
+0.04002
+0.0385603
+0.037142
+0.0358016
+0.0344926
+0.0332405
+0.0320706
+0.0310056
+0.030038
+0.0291956
+0.0284319
+0.027761
+0.0272503
+0.0268965
+0.0266607
+0.0265578
+0.0266118
+0.0268451
+0.0272024
+0.0276956
+0.0283187
+0.0290445
+0.0299134
+0.030859
+0.0318513
+0.0329486
+0.0340609
+0.0352243
+0.0364822
+0.0378253
+0.0392302
+0.0407013
+0.0422348
+0.0438189
+0.0454368
+0.0470882
+0.0487721
+0.0504653
+0.0521807
+0.053926
+0.0557029
+0.0575083
+0.0593396
+0.0611866
+0.0630269
+0.064889
+0.066771
+0.0686565
+0.0705443
+0.0724491
+0.0743578
+0.0762628
+0.0781827
+0.0801165
+0.0820622
+0.0840157
+0.0859807
+0.0879564
+0.089942
+0.0919262
+0.0939151
+0.0951109
+0.0958857
+0.0963545
+0.0968706
+0.0962387
+0.0954352
+0.0946755
+0.0939608
+0.0932921
+0.0926678
+0.09209
+0.091561
+0.0903344
+0.0883067
+0.0862868
+0.0842756
+0.0822734
+0.0802812
+0.0782995
+0.0763196
+0.074343
+0.0723787
+0.0704278
+0.0684914
+0.0665707
+0.0646672
+0.0627825
+0.0609182
+0.0590763
+0.057259
+0.0554591
+0.0536478
+0.0518643
+0.0501007
+0.0483572
+0.0466514
+0.0449876
+0.0433707
+0.041806
+0.0402998
+0.0388506
+0.0373847
+0.0359727
+0.0346201
+0.0333549
+0.0321892
+0.0311105
+0.030131
+0.029267
+0.028522
+0.0278533
+0.0273432
+0.0269691
+0.0267339
+0.0266313
+0.0266851
+0.0269178
+0.0272942
+0.0277681
+0.0283868
+0.0291109
+0.0299244
+0.030796
+0.0317764
+0.0328387
+0.0339846
+0.0352007
+0.0364595
+0.0377994
+0.0392017
+0.040671
+0.042189
+0.0437512
+0.0453474
+0.0469591
+0.0486097
+0.0503015
+0.0520222
+0.0537727
+0.0555545
+0.0573498
+0.05915
+0.0609755
+0.062822
+0.0646803
+0.0665381
+0.0684142
+0.0703084
+0.0722138
+0.0741091
+0.0760203
+0.0779462
+0.0798858
+0.0818368
+0.0837937
+0.0857526
+0.0877165
+0.089691
+0.0916752
+0.0936687
+0.0946914
+0.0955343
+0.0960661
+0.0965837
+0.0958451
+0.0950382
+0.0942754
+0.0935576
+0.092886
+0.092259
+0.0916786
+0.0911472
+0.0905425
+0.0885195
+0.0865047
+0.0844986
+0.0825019
+0.0805152
+0.0785372
+0.0765551
+0.0745848
+0.072627
+0.070683
+0.0687537
+0.0668406
+0.064945
+0.0630686
+0.061213
+0.0593803
+0.0575452
+0.0557309
+0.0539444
+0.0521863
+0.0504197
+0.0486876
+0.0469938
+0.0453426
+0.0437388
+0.0421711
+0.0405984
+0.0390831
+0.0376137
+0.0362049
+0.0348679
+0.033612
+0.0324288
+0.0313398
+0.0303543
+0.0294968
+0.0287406
+0.0280947
+0.0275891
+0.0272183
+0.0269854
+0.0268837
+0.0269084
+0.0270706
+0.0273787
+0.0278511
+0.0284031
+0.0290939
+0.0299127
+0.030829
+0.0317887
+0.0328536
+0.0339821
+0.03517
+0.0364417
+0.0377977
+0.0392195
+0.0406883
+0.0422144
+0.0437214
+0.0452781
+0.0468855
+0.0485385
+0.0502328
+0.0519557
+0.0536856
+0.0554317
+0.0572084
+0.0590129
+0.0608268
+0.0626507
+0.0644975
+0.0663603
+0.0682413
+0.0701403
+0.0720244
+0.0739246
+0.0758404
+0.0777641
+0.0796918
+0.0816328
+0.0835812
+0.0855389
+0.0875076
+0.0894866
+0.0914753
+0.093473
+0.0943209
+0.0951671
+0.0958257
+0.0963446
+0.0954954
+0.0946855
+0.0939198
+0.0931993
+0.0925251
+0.0918982
+0.0913179
+0.0907844
+0.0903009
+0.0887859
+0.0867773
+0.0847776
+0.0827876
+0.0808074
+0.0788216
+0.0768469
+0.0748843
+0.0729346
+0.070999
+0.0690786
+0.0671747
+0.0652889
+0.0634227
+0.061572
+0.0597193
+0.0578901
+0.0560869
+0.0543076
+0.0525321
+0.0507885
+0.0490558
+0.0473609
+0.0457083
+0.044084
+0.0424776
+0.0409126
+0.0393867
+0.0379259
+0.0365147
+0.0351721
+0.0339001
+0.0327254
+0.0316411
+0.030664
+0.0298159
+0.0290444
+0.028396
+0.0278635
+0.0274959
+0.0272315
+0.0271077
+0.0270666
+0.0271937
+0.0274953
+0.0279539
+0.028494
+0.0291827
+0.0300156
+0.0309289
+0.0318892
+0.0329508
+0.0340488
+0.035231
+0.036504
+0.0378577
+0.0392643
+0.0407125
+0.0422231
+0.0437521
+0.0453077
+0.0469141
+0.0485662
+0.0502323
+0.0519097
+0.0536241
+0.0553722
+0.0571337
+0.058909
+0.0607115
+0.0625387
+0.0643887
+0.0662546
+0.0681151
+0.0699902
+0.0718832
+0.0737824
+0.0756847
+0.0776022
+0.0795325
+0.0814697
+0.0834194
+0.0853808
+0.0873531
+0.0893356
+0.0913275
+0.0931946
+0.0939999
+0.094849
+0.0956264
+0.0961464
+0.095193
+0.0943806
+0.0936124
+0.0928895
+0.092213
+0.091584
+0.0910033
+0.090472
+0.089988
+0.0891054
+0.0871041
+0.0851122
+0.0831237
+0.0811354
+0.0791579
+0.0771918
+0.0752381
+0.0732979
+0.0713721
+0.069462
+0.067569
+0.0656941
+0.0638332
+0.0619719
+0.0601315
+0.0583153
+0.0565017
+0.0547043
+0.0529184
+0.0511639
+0.0494443
+0.0477633
+0.0460689
+0.0444171
+0.0428138
+0.0412563
+0.0397434
+0.0382907
+0.0368844
+0.0355557
+0.034298
+0.0331272
+0.0320456
+0.0310809
+0.0302252
+0.0294376
+0.028758
+0.0282324
+0.0278107
+0.0275156
+0.0273432
+0.0272937
+0.0274198
+0.0276979
+0.0281321
+0.0287125
+0.0293859
+0.0301836
+0.0311144
+0.0321103
+0.0331001
+0.0341749
+0.0353524
+0.0366231
+0.037976
+0.0393497
+0.0407949
+0.0423025
+0.0438632
+0.0454261
+0.0470268
+0.0486267
+0.0502622
+0.0519386
+0.0536339
+0.0553481
+0.0570949
+0.0588714
+0.060675
+0.0625033
+0.0643287
+0.0661699
+0.0680281
+0.0699055
+0.0717882
+0.0736762
+0.07558
+0.0774966
+0.079423
+0.0813627
+0.0833149
+0.0852787
+0.0872533
+0.089238
+0.0912321
+0.0929215
+0.0937292
+0.0945807
+0.0954749
+0.0959978
+0.0949403
+0.0941257
+0.0933554
+0.0926305
+0.0919521
+0.0913213
+0.0907389
+0.090206
+0.0897234
+0.0892919
+0.0874847
+0.0854896
+0.0835002
+0.0815211
+0.0795531
+0.077597
+0.0756538
+0.0737245
+0.0718102
+0.0699101
+0.0680235
+0.0661557
+0.064295
+0.0624462
+0.0606075
+0.0587676
+0.0569406
+0.0551401
+0.0533688
+0.051618
+0.0498765
+0.048163
+0.0464824
+0.0448459
+0.0432585
+0.0417122
+0.0402165
+0.038767
+0.0373704
+0.0360519
+0.0348214
+0.0336563
+0.0325789
+0.0316008
+0.030748
+0.0299476
+0.0292798
+0.0286722
+0.0281835
+0.0278572
+0.0276706
+0.0276228
+0.0277474
+0.028024
+0.0284532
+0.029019
+0.0296936
+0.0304831
+0.0314051
+0.0323633
+0.0333308
+0.0344068
+0.0355602
+0.0368067
+0.0381385
+0.039526
+0.0409569
+0.0424419
+0.0439555
+0.0455241
+0.0471024
+0.0487057
+0.0503533
+0.0519931
+0.0536703
+0.0553834
+0.0571291
+0.0589045
+0.0606906
+0.0624887
+0.0643112
+0.0661529
+0.0679973
+0.0698497
+0.0717213
+0.0736105
+0.075516
+0.0774319
+0.07936
+0.0813014
+0.0832551
+0.0852204
+0.0871965
+0.0891826
+0.091178
+0.0926956
+0.0935052
+0.0943588
+0.0952551
+0.0958989
+0.0947325
+0.0939212
+0.0931492
+0.0924227
+0.0917428
+0.0911105
+0.0905268
+0.0899926
+0.0895089
+0.0890765
+0.0879009
+0.0859115
+0.0839321
+0.0819634
+0.0800063
+0.0780616
+0.0761303
+0.07421
+0.0723029
+0.0704123
+0.0685395
+0.0666811
+0.0648204
+0.06295
+0.0610909
+0.0592546
+0.057443
+0.0556321
+0.0538422
+0.052083
+0.0503576
+0.0486574
+0.0469944
+0.0453716
+0.0437975
+0.0422765
+0.0407851
+0.0393373
+0.0379604
+0.0366543
+0.0354322
+0.0342775
+0.033205
+0.0322458
+0.0313819
+0.0305354
+0.0297866
+0.0291524
+0.0286701
+0.0283198
+0.0281349
+0.0280881
+0.0282106
+0.0285015
+0.028937
+0.0294771
+0.0301433
+0.0309352
+0.031763
+0.0327013
+0.0336389
+0.0346784
+0.0358218
+0.0370596
+0.0383596
+0.0397119
+0.0411363
+0.0425938
+0.0441021
+0.0456461
+0.0472208
+0.048843
+0.0504834
+0.0521171
+0.0537905
+0.0554998
+0.0572407
+0.0589813
+0.0607511
+0.0625475
+0.0643554
+0.0661648
+0.0679967
+0.0698492
+0.0717208
+0.0736099
+0.0755139
+0.0774278
+0.079356
+0.0812975
+0.0832513
+0.0852167
+0.0871928
+0.0889396
+0.0903259
+0.0917435
+0.0931911
+0.0941811
+0.0950791
+0.0958501
+0.0945572
+0.0937491
+0.0929857
+0.0922642
+0.0915854
+0.090952
+0.0903673
+0.0898322
+0.0893476
+0.0889143
+0.0883657
+0.086387
+0.0844187
+0.0824617
+0.0805167
+0.0785801
+0.0766564
+0.0747475
+0.0728545
+0.0709785
+0.0691032
+0.0672291
+0.0653449
+0.0634747
+0.0616187
+0.0597782
+0.0579508
+0.0561493
+0.0543765
+0.0526351
+0.0509209
+0.0492343
+0.0475864
+0.0459838
+0.0444314
+0.0429029
+0.0414271
+0.0400033
+0.038642
+0.0373582
+0.0361376
+0.0350044
+0.0339548
+0.0329574
+0.0319961
+0.0311533
+0.0303899
+0.0297686
+0.0292841
+0.02894
+0.028759
+0.0287133
+0.0288331
+0.0291177
+0.0295315
+0.0300646
+0.030688
+0.0314219
+0.0322308
+0.0331351
+0.0340491
+0.0350763
+0.036207
+0.0374102
+0.0386755
+0.0400001
+0.0413937
+0.042854
+0.0443368
+0.0458521
+0.04742
+0.0490357
+0.0506945
+0.0523327
+0.0539993
+0.0556843
+0.0573885
+0.0591248
+0.0608901
+0.0626464
+0.0644293
+0.0662367
+0.0680666
+0.0699173
+0.0717871
+0.0736746
+0.0755732
+0.0774856
+0.0794124
+0.0813526
+0.0833051
+0.0850313
+0.0864337
+0.0878683
+0.0892932
+0.0907269
+0.0921905
+0.0936824
+0.0949533
+0.0958513
+0.0944324
+0.0936233
+0.0928588
+0.0921401
+0.0914672
+0.0908358
+0.0902532
+0.0897202
+0.0892379
+0.088806
+0.0884244
+0.0869151
+0.0849584
+0.0830091
+0.0810722
+0.0791485
+0.077239
+0.0753425
+0.0734389
+0.0715518
+0.069646
+0.0677465
+0.0658652
+0.0640035
+0.0621633
+0.0603395
+0.0585295
+0.0567465
+0.0549894
+0.053261
+0.0515603
+0.0498954
+0.04827
+0.0466789
+0.0451282
+0.0436178
+0.0421671
+0.0407686
+0.0394323
+0.0381523
+0.0369579
+0.0358506
+0.0347193
+0.033659
+0.0326897
+0.0318417
+0.0311232
+0.0305074
+0.0300177
+0.029682
+0.0294965
+0.0294506
+0.0295426
+0.0297894
+0.0301755
+0.0306607
+0.031272
+0.0320135
+0.0328174
+0.0336313
+0.0345403
+0.0355536
+0.03667
+0.0378366
+0.0390716
+0.0403785
+0.0417582
+0.0431815
+0.0446364
+0.0461432
+0.0477031
+0.0493111
+0.0509624
+0.0526209
+0.0542603
+0.0559221
+0.0576193
+0.0593241
+0.0610468
+0.0627988
+0.0645775
+0.0663808
+0.0682069
+0.0700538
+0.0719201
+0.0738021
+0.0756959
+0.0776053
+0.0795292
+0.081198
+0.0825493
+0.0839359
+0.0853562
+0.0868086
+0.0882912
+0.0897428
+0.0912222
+0.0927297
+0.094264
+0.0958132
+0.0943583
+0.0935485
+0.0927835
+0.0920642
+0.0913917
+0.0907672
+0.0901859
+0.0896526
+0.0891699
+0.0887387
+0.0883597
+0.0874882
+0.0855405
+0.0836048
+0.0816821
+0.0797563
+0.0778313
+0.0759207
+0.0740155
+0.0720981
+0.0701966
+0.0683125
+0.0664472
+0.0646023
+0.0627796
+0.0609725
+0.0591761
+0.0574072
+0.0556636
+0.0539497
+0.0522714
+0.0506279
+0.0490098
+0.0474377
+0.0459131
+0.0444293
+0.0429955
+0.0416168
+0.0402903
+0.0390384
+0.0378321
+0.0366058
+0.0354724
+0.0344351
+0.0334882
+0.032661
+0.0319441
+0.031332
+0.0308554
+0.0305201
+0.0303081
+0.0302329
+0.0303162
+0.0305245
+0.0308589
+0.0313318
+0.0319124
+0.03263
+0.0333998
+0.0342186
+0.0351154
+0.0361126
+0.0372121
+0.0383473
+0.0395671
+0.0408509
+0.0421944
+0.043598
+0.0450398
+0.0465336
+0.0480808
+0.0496765
+0.0512982
+0.0529107
+0.0545591
+0.0562327
+0.0578817
+0.0595656
+0.0612816
+0.063027
+0.0647994
+0.0665968
+0.0684171
+0.0702585
+0.0721194
+0.0739926
+0.0758817
+0.0774849
+0.078778
+0.0801101
+0.0814793
+0.0828839
+0.0843219
+0.0857918
+0.0872917
+0.0888015
+0.0902963
+0.091819
+0.0933682
+0.0949427
+0.094335
+0.0935251
+0.0927598
+0.0920403
+0.0913677
+0.090743
+0.0901672
+0.0896385
+0.0891557
+0.0887245
+0.0883454
+0.0880193
+0.0861528
+0.084203
+0.0822654
+0.0803408
+0.0784302
+0.0765121
+0.0745983
+0.0726962
+0.0708108
+0.0689434
+0.0670957
+0.0652691
+0.0634649
+0.0616627
+0.0598804
+0.0581257
+0.0564016
+0.0547108
+0.0530566
+0.0514217
+0.0498294
+0.048284
+0.0467854
+0.0453213
+0.0439064
+0.0425385
+0.0412385
+0.0399327
+0.0386488
+0.0374492
+0.0363387
+0.0353094
+0.034389
+0.0335856
+0.0328788
+0.0322839
+0.031775
+0.031399
+0.0311729
+0.0310997
+0.0311519
+0.0313332
+0.031659
+0.0321039
+0.032678
+0.0333791
+0.0341049
+0.0349096
+0.0358153
+0.0367823
+0.0378252
+0.0389512
+0.0401567
+0.0414069
+0.0427326
+0.0440922
+0.0455101
+0.0469875
+0.0485188
+0.0500991
+0.0516868
+0.0532891
+0.0549262
+0.0565572
+0.0581999
+0.0598777
+0.0615877
+0.0633273
+0.0650939
+0.0668838
+0.0686965
+0.0705306
+0.072382
+0.073899
+0.075133
+0.0764069
+0.0777179
+0.0790679
+0.0804548
+0.081877
+0.0833324
+0.0848195
+0.0863362
+0.0878754
+0.0894144
+0.0909519
+0.0925157
+0.0941045
+0.0943626
+0.0935529
+0.0927879
+0.0920686
+0.0913962
+0.0907717
+0.0901961
+0.0896704
+0.0891949
+0.0887643
+0.0883854
+0.0880594
+0.0867495
+0.0848135
+0.0828879
+0.0809591
+0.079044
+0.077138
+0.0752403
+0.0733549
+0.0714869
+0.0696376
+0.0678088
+0.066002
+0.0641942
+0.062407
+0.0606462
+0.0589144
+0.0572139
+0.0555479
+0.0539038
+0.0522953
+0.0507304
+0.049206
+0.0477246
+0.0462901
+0.0448879
+0.0435188
+0.0421276
+0.0408066
+0.0395629
+0.038393
+0.0372918
+0.0362895
+0.0353946
+0.0345893
+0.0338505
+0.0332399
+0.0327389
+0.0323742
+0.0321359
+0.032036
+0.0320856
+0.0322617
+0.0325687
+0.0329997
+0.0335683
+0.0342323
+0.0349232
+0.0357193
+0.0365717
+0.0375052
+0.0385407
+0.0396541
+0.0408168
+0.0420253
+0.043311
+0.0446542
+0.0460548
+0.0475152
+0.04903
+0.0505844
+0.0521482
+0.0537435
+0.0553701
+0.0569629
+0.0585942
+0.060261
+0.0619604
+0.0636899
+0.065447
+0.0672295
+0.0690356
+0.0704549
+0.0716142
+0.0728211
+0.074073
+0.0753679
+0.0767035
+0.0780732
+0.0794776
+0.0809168
+0.0823893
+0.083893
+0.0854263
+0.0869816
+0.0885635
+0.0901298
+0.0917076
+0.0933101
+0.0944411
+0.093632
+0.0928676
+0.092149
+0.0914772
+0.0908533
+0.0902782
+0.0897529
+0.0892783
+0.0888552
+0.0884796
+0.088154
+0.0873902
+0.0854507
+0.0835236
+0.0816098
+0.0797103
+0.0778202
+0.0759367
+0.0740698
+0.0722211
+0.0703918
+0.0685831
+0.0667731
+0.064983
+0.0632181
+0.0614806
+0.0597729
+0.0580976
+0.0564469
+0.0548255
+0.0532448
+0.0516988
+0.0501954
+0.0487311
+0.0472732
+0.0458382
+0.0444261
+0.0430642
+0.0417728
+0.0405587
+0.0394182
+0.0383464
+0.0373601
+0.0364383
+0.0356182
+0.0349012
+0.0342884
+0.0337985
+0.0334199
+0.0331795
+0.0330828
+0.0331309
+0.0333086
+0.0335953
+0.0340132
+0.0345392
+0.0351319
+0.035833
+0.0365488
+0.0373746
+0.0382885
+0.0393033
+0.0404116
+0.0415361
+0.0427258
+0.043986
+0.0453135
+0.046696
+0.048137
+0.0496215
+0.0511316
+0.0526846
+0.0542521
+0.0558615
+0.0574493
+0.0590672
+0.060721
+0.0624079
+0.0641253
+0.0658708
+0.0671916
+0.0682658
+0.0693926
+0.0705694
+0.0717938
+0.0730633
+0.0743758
+0.0757288
+0.0771204
+0.0785426
+0.0799988
+0.0814878
+0.0830079
+0.0845574
+0.0861342
+0.0877314
+0.0893537
+0.090945
+0.0925608
+0.0945524
+0.0937623
+0.092999
+0.0922813
+0.0916105
+0.0909875
+0.0904132
+0.0898887
+0.0894149
+0.0889924
+0.0886221
+0.0883018
+0.0880271
+0.0861232
+0.0842114
+0.0823137
+0.0804283
+0.078546
+0.07668
+0.0748317
+0.0730023
+0.0711933
+0.0693924
+0.0676028
+0.0658353
+0.0640938
+0.0623807
+0.0606984
+0.059043
+0.0574113
+0.0558178
+0.0542541
+0.0527206
+0.0512052
+0.0496906
+0.0482281
+0.0468113
+0.045421
+0.0440898
+0.0428293
+0.0416335
+0.0404937
+0.0394252
+0.0384355
+0.0375402
+0.036737
+0.0360146
+0.0354133
+0.0349176
+0.034549
+0.0343165
+0.0342229
+0.0342694
+0.0344345
+0.0347039
+0.0350659
+0.0355496
+0.0361225
+0.0367827
+0.0374804
+0.0382861
+0.0391787
+0.0401711
+0.0412177
+0.0423157
+0.0434843
+0.0447296
+0.0460456
+0.0474194
+0.0488364
+0.0502747
+0.051761
+0.0532816
+0.0548332
+0.0563986
+0.0579787
+0.0595975
+0.0612518
+0.0629285
+0.0641323
+0.0651139
+0.0661494
+0.0672403
+0.068384
+0.0695779
+0.0708194
+0.0721061
+0.0734356
+0.0748057
+0.0762142
+0.077653
+0.0791255
+0.0806306
+0.0821666
+0.0837317
+0.0853243
+0.086943
+0.0885832
+0.0902293
+0.0918576
+0.0947124
+0.0939255
+0.0931816
+0.0924654
+0.0917959
+0.0911741
+0.0906011
+0.0900777
+0.0896048
+0.0891832
+0.0888137
+0.0884969
+0.0882252
+0.0868457
+0.0849502
+0.0830693
+0.0811897
+0.0793254
+0.0774782
+0.0756494
+0.0738402
+0.07204
+0.0702608
+0.0684926
+0.0667486
+0.0650316
+0.0633439
+0.0616854
+0.0600456
+0.0584411
+0.0568523
+0.0552917
+0.0537138
+0.0521801
+0.0506947
+0.0492609
+0.0478569
+0.0464835
+0.0451743
+0.0439257
+0.0427339
+0.0416077
+0.0405543
+0.0395857
+0.0387161
+0.037905
+0.0372054
+0.0366167
+0.0361327
+0.0357766
+0.0355521
+0.0354556
+0.0354743
+0.035617
+0.0358521
+0.0361944
+0.0366423
+0.0371597
+0.0377971
+0.0385116
+0.0392983
+0.0401525
+0.0410763
+0.0420937
+0.0431787
+0.0443379
+0.0455597
+0.0468458
+0.0481897
+0.0495684
+0.0509862
+0.052439
+0.0539417
+0.0554763
+0.0570095
+0.0585731
+0.0601759
+0.0612659
+0.062154
+0.0631011
+0.0641005
+0.0651583
+0.0662708
+0.0674315
+0.0686419
+0.0699001
+0.0712034
+0.0725495
+0.073936
+0.0753607
+0.0768155
+0.0783037
+0.0798244
+0.0813755
+0.0829556
+0.0845628
+0.0861958
+0.0878531
+0.0895319
+0.0912017
+0.0949225
+0.0941376
+0.0933972
+0.0927009
+0.0920331
+0.0914129
+0.0908414
+0.0903194
+0.0898478
+0.0894274
+0.0890589
+0.0887429
+0.0884771
+0.087617
+0.0857387
+0.0838645
+0.0820025
+0.0801571
+0.0783295
+0.076521
+0.0747221
+0.0729426
+0.0711856
+0.0694401
+0.0677205
+0.0660288
+0.0643672
+0.0627208
+0.0610891
+0.059493
+0.057872
+0.0562811
+0.0547317
+0.0532273
+0.051766
+0.0503236
+0.048921
+0.0475779
+0.0462982
+0.0450695
+0.0439005
+0.0427927
+0.0417612
+0.04081
+0.0399219
+0.0391358
+0.0384586
+0.0378953
+0.0374278
+0.037084
+0.0368573
+0.036745
+0.036761
+0.036859
+0.0370384
+0.0373434
+0.0377279
+0.0382305
+0.0388415
+0.0395498
+0.0403646
+0.0411667
+0.0420666
+0.043059
+0.0441209
+0.0452632
+0.0464598
+0.0477192
+0.0490193
+0.0503753
+0.0517671
+0.0531987
+0.0546719
+0.0561695
+0.0576936
+0.0586478
+0.059414
+0.0602498
+0.0611526
+0.0621196
+0.0631446
+0.0642182
+0.0653476
+0.0665299
+0.0677624
+0.0690381
+0.0703574
+0.0717193
+0.0731216
+0.0745618
+0.0760319
+0.0775352
+0.0790706
+0.0806363
+0.0822305
+0.0838517
+0.0854983
+0.0871688
+0.0888605
+0.0905718
+0.0951633
+0.0943899
+0.0936598
+0.0929573
+0.0923014
+0.0916841
+0.0911143
+0.0905939
+0.0901237
+0.0897046
+0.0893372
+0.0890223
+0.0887603
+0.0884359
+0.0865675
+0.0847082
+0.0828652
+0.0810395
+0.0792323
+0.0774354
+0.0756562
+0.0738992
+0.0721642
+0.070443
+0.0687485
+0.0670802
+0.0654105
+0.0637725
+0.0621255
+0.060488
+0.0588864
+0.0573238
+0.0558035
+0.054329
+0.0528564
+0.0514296
+0.050058
+0.0487454
+0.0474794
+0.0462815
+0.0451328
+0.0440323
+0.043012
+0.0420636
+0.041202
+0.0404408
+0.0397859
+0.0392325
+0.0387812
+0.0384422
+0.0382091
+0.0380791
+0.0380187
+0.0380648
+0.0382363
+0.0385319
+0.0389066
+0.0393931
+0.0399727
+0.0406613
+0.0414228
+0.0422286
+0.0431082
+0.044076
+0.0451132
+0.0462298
+0.0474028
+0.0486463
+0.0499314
+0.0512604
+0.0526147
+0.0540239
+0.0554671
+0.0563326
+0.0569628
+0.0576692
+0.0584478
+0.0592972
+0.0602143
+0.0611961
+0.0622396
+0.0633372
+0.064482
+0.0656799
+0.0669282
+0.0682239
+0.0695645
+0.0709472
+0.0723644
+0.0738194
+0.075304
+0.0768215
+0.0783709
+0.0799503
+0.0815579
+0.0831922
+0.0848516
+0.0865346
+0.0882384
+0.0899616
+0.0954538
+0.0946828
+0.0939551
+0.0932548
+0.092601
+0.0919947
+0.091437
+0.0909194
+0.0904509
+0.0900333
+0.0896673
+0.0893535
+0.0890925
+0.0888847
+0.0874401
+0.0855998
+0.0837764
+0.0819709
+0.0801765
+0.0783983
+0.0766415
+0.0749076
+0.0731954
+0.071499
+0.0698082
+0.068135
+0.0664647
+0.0647887
+0.0631442
+0.0615338
+0.0599602
+0.0584263
+0.0569354
+0.0554467
+0.0539994
+0.0526036
+0.0512629
+0.0499652
+0.0487238
+0.0475182
+0.0463696
+0.0452962
+0.0443052
+0.0433912
+0.0425565
+0.04182
+0.0411869
+0.0406439
+0.0402037
+0.0398567
+0.0395618
+0.0393862
+0.0393092
+0.0393536
+0.0395195
+0.0397995
+0.0401539
+0.0406037
+0.0411653
+0.0418101
+0.0425392
+0.0433552
+0.0442146
+0.0451522
+0.0461638
+0.0472409
+0.0483894
+0.0496082
+0.0508576
+0.052161
+0.0535039
+0.0543613
+0.0548393
+0.0553999
+0.0560406
+0.0567579
+0.0575488
+0.0584113
+0.0593421
+0.0603381
+0.0613961
+0.0625131
+0.0636801
+0.0648928
+0.0661559
+0.0674665
+0.0688218
+0.0702194
+0.0716567
+0.0731295
+0.0746282
+0.0761603
+0.0777241
+0.0793175
+0.0809388
+0.0825855
+0.0842569
+0.0859515
+0.0876667
+0.0894009
+0.0957935
+0.0950253
+0.0943003
+0.0936026
+0.0929513
+0.0923473
+0.0917917
+0.0912853
+0.0908289
+0.090414
+0.0900495
+0.089737
+0.0894772
+0.0892703
+0.0883584
+0.0865376
+0.0847344
+0.0829412
+0.0811643
+0.0794081
+0.077674
+0.0759624
+0.0742686
+0.072566
+0.0708667
+0.0691674
+0.067489
+0.0658391
+0.0642215
+0.0626388
+0.0610937
+0.059577
+0.0580672
+0.056602
+0.0551848
+0.0538196
+0.0525101
+0.051207
+0.0499653
+0.0487905
+0.0476723
+0.0466289
+0.0456668
+0.0447867
+0.0439784
+0.0432627
+0.0426407
+0.0420679
+0.0416027
+0.0412068
+0.0409216
+0.0407513
+0.0406766
+0.0407195
+0.0408799
+0.0411174
+0.0414472
+0.0418831
+0.0424062
+0.0430138
+0.043713
+0.0444968
+0.0453614
+0.0462891
+0.0472764
+0.0483303
+0.049441
+0.0506159
+0.0518452
+0.052748
+0.0530774
+0.0534808
+0.0539667
+0.0545363
+0.055187
+0.055916
+0.0567198
+0.0575951
+0.0585389
+0.0595483
+0.0606201
+0.0617511
+0.062938
+0.0641708
+0.0654479
+0.0667723
+0.0681415
+0.0695527
+0.0710035
+0.0724912
+0.0740036
+0.0755484
+0.0771246
+0.0787301
+0.0803633
+0.0820225
+0.0837061
+0.0854116
+0.0871389
+0.0888866
+0.0961819
+0.0954168
+0.094695
+0.0940002
+0.0933516
+0.0927503
+0.0921971
+0.0916929
+0.0912386
+0.0908348
+0.0904822
+0.0901722
+0.0899135
+0.0897077
+0.089321
+0.0875136
+0.0857182
+0.0839415
+0.0821848
+0.0804494
+0.0787366
+0.0770481
+0.0753244
+0.0735976
+0.0718962
+0.0702215
+0.0685681
+0.0669447
+0.0653545
+0.0637999
+0.0622425
+0.06072
+0.0592393
+0.0578038
+0.0564168
+0.0550791
+0.0537534
+0.0524812
+0.0512704
+0.0501262
+0.0490382
+0.0480245
+0.0470847
+0.0462128
+0.0454209
+0.044682
+0.0440268
+0.0434723
+0.0430123
+0.0426267
+0.0423511
+0.042186
+0.0421136
+0.042155
+0.0422664
+0.0424819
+0.0427814
+0.0431823
+0.0436896
+0.0442852
+0.0449523
+0.0457148
+0.0465547
+0.0474753
+0.0484538
+0.0494652
+0.0505448
+0.0515216
+0.0516734
+0.0519149
+0.0522404
+0.0526552
+0.0531551
+0.0537333
+0.0543936
+0.0551331
+0.0559487
+0.0568371
+0.0577948
+0.0588187
+0.0599051
+0.0610509
+0.0622527
+0.0635073
+0.0648062
+0.0661435
+0.0675254
+0.0689493
+0.0704125
+0.0719127
+0.0734391
+0.0749956
+0.0765831
+0.0781998
+0.0798438
+0.0815135
+0.0832074
+0.084923
+0.08666
+0.0884172
+0.0966162
+0.0958546
+0.0951374
+0.094447
+0.0938015
+0.093203
+0.0926526
+0.0921509
+0.0916988
+0.091297
+0.0909463
+0.0906472
+0.0904001
+0.0901962
+0.0900443
+0.0885086
+0.0867338
+0.0849783
+0.0832435
+0.0815306
+0.0798337
+0.0780838
+0.0763566
+0.0746538
+0.072977
+0.071327
+0.0696993
+0.0681029
+0.0665165
+0.0649464
+0.0634131
+0.0619194
+0.0604681
+0.0590625
+0.0576935
+0.0563432
+0.055047
+0.0538065
+0.0526262
+0.0515121
+0.0504623
+0.0494562
+0.0485225
+0.0476369
+0.0468365
+0.0461079
+0.0454733
+0.0449365
+0.0444825
+0.0441098
+0.0438436
+0.0436796
+0.0435997
+0.0435904
+0.0436767
+0.043872
+0.0441553
+0.0445439
+0.0450265
+0.0455926
+0.0462192
+0.0469398
+0.0477501
+0.0486235
+0.0495643
+0.0505825
+0.0506962
+0.050756
+0.0509082
+0.0511464
+0.0514768
+0.0518977
+0.0524068
+0.0530017
+0.0536779
+0.0544272
+0.0552532
+0.0561525
+0.0571218
+0.0581575
+0.0592561
+0.0604141
+0.0616284
+0.0628954
+0.0642123
+0.0655702
+0.0669698
+0.0684107
+0.0698852
+0.0713965
+0.0729361
+0.074503
+0.0761008
+0.0777275
+0.0793813
+0.0810606
+0.0827638
+0.0844884
+0.0862341
+0.0879998
+0.0970876
+0.0963297
+0.095616
+0.0949422
+0.0943001
+0.0937048
+0.0931573
+0.0926583
+0.0922087
+0.0918092
+0.0914605
+0.091163
+0.0909174
+0.090724
+0.0905799
+0.0895462
+0.0877923
+0.0860584
+0.0843458
+0.0826168
+0.0808678
+0.0791407
+0.0774371
+0.0757586
+0.0741067
+0.0724803
+0.0708552
+0.0692508
+0.067673
+0.0661302
+0.0646249
+0.0631596
+0.0617374
+0.060345
+0.0589746
+0.0576543
+0.0563882
+0.0551779
+0.0540276
+0.0529255
+0.0518685
+0.0508723
+0.0499364
+0.0490772
+0.0482906
+0.0475843
+0.0469696
+0.0464359
+0.0459948
+0.0456499
+0.0453785
+0.0451984
+0.0450692
+0.0450462
+0.0451297
+0.0453153
+0.0455839
+0.0459181
+0.0463336
+0.046848
+0.0474581
+0.0481601
+0.0489502
+0.0498015
+0.0501721
+0.050041
+0.0500057
+0.0500663
+0.0502199
+0.0504614
+0.0507962
+0.0512227
+0.0517385
+0.052341
+0.0530271
+0.0537939
+0.0546367
+0.055546
+0.0565257
+0.0575721
+0.0586816
+0.0598508
+0.0610763
+0.0623546
+0.0636826
+0.0650515
+0.0664621
+0.0679141
+0.0694048
+0.0709319
+0.0724887
+0.0740718
+0.075679
+0.0773145
+0.078977
+0.0806647
+0.082376
+0.0841086
+0.085862
+0.0876352
+0.0976059
+0.0968521
+0.0961423
+0.0954775
+0.0948467
+0.0942549
+0.0937106
+0.0932146
+0.0927677
+0.0923706
+0.0920239
+0.0917283
+0.0914842
+0.091292
+0.0911521
+0.0906248
+0.0888922
+0.0871802
+0.0854216
+0.0836738
+0.0819473
+0.0802435
+0.0785638
+0.0769099
+0.0752615
+0.0736262
+0.0720133
+0.0704293
+0.0688786
+0.0673634
+0.0658862
+0.0644496
+0.063027
+0.0616489
+0.060308
+0.0590176
+0.0577814
+0.0565818
+0.0554271
+0.0543295
+0.0532892
+0.0523097
+0.0513969
+0.0505625
+0.049798
+0.0491134
+0.0485082
+0.0479862
+0.0475594
+0.0471943
+0.0469058
+0.0467069
+0.0465819
+0.046556
+0.046602
+0.0467446
+0.0469616
+0.0472665
+0.0476703
+0.0481704
+0.0487639
+0.0494321
+0.0501235
+0.0497999
+0.0495712
+0.0494386
+0.0494028
+0.0494642
+0.0496189
+0.0498633
+0.0502021
+0.0506336
+0.0511553
+0.0517646
+0.0524583
+0.0532332
+0.0540858
+0.0550125
+0.056009
+0.0570649
+0.0581841
+0.0593631
+0.0605984
+0.0618866
+0.0632244
+0.0646031
+0.0660232
+0.0674846
+0.0689846
+0.0705208
+0.0720908
+0.0736924
+0.0753155
+0.0769617
+0.0786316
+0.0803266
+0.0820449
+0.0837843
+0.0855445
+0.0870951
+0.0981704
+0.0974209
+0.0967153
+0.096053
+0.0954282
+0.0948448
+0.0943039
+0.093811
+0.093367
+0.0929724
+0.092628
+0.0923343
+0.0920918
+0.0919009
+0.0917619
+0.0916751
+0.0900116
+0.088246
+0.0864998
+0.0847743
+0.0830707
+0.0813904
+0.0797252
+0.0780605
+0.0764211
+0.0748022
+0.073213
+0.0716555
+0.0701319
+0.0686444
+0.067169
+0.0657319
+0.0643373
+0.062988
+0.0616871
+0.0604089
+0.0591668
+0.0579808
+0.0568518
+0.0557736
+0.0547555
+0.0537949
+0.0529077
+0.0520947
+0.0513473
+0.0506835
+0.0500901
+0.0495783
+0.0491087
+0.0487332
+0.0484539
+0.0482176
+0.0480582
+0.0479981
+0.0480301
+0.0481502
+0.0483694
+0.0486737
+0.0490599
+0.049529
+0.0500895
+0.0500351
+0.0496185
+0.049292
+0.0490609
+0.0489268
+0.0488907
+0.0489527
+0.0491083
+0.0493552
+0.0496976
+0.0501334
+0.0506603
+0.0512754
+0.0519757
+0.0527576
+0.0536178
+0.0545524
+0.0555577
+0.0566236
+0.0577514
+0.0589391
+0.0601831
+0.0614799
+0.0628265
+0.0642195
+0.0656545
+0.067124
+0.0686319
+0.0701758
+0.0717533
+0.0733624
+0.0750009
+0.0766627
+0.0783456
+0.080047
+0.0817712
+0.0835163
+0.0850955
+0.0865632
+0.0987802
+0.0980354
+0.0973342
+0.0966697
+0.0960489
+0.0954742
+0.0949417
+0.0944522
+0.0940111
+0.0936193
+0.0932773
+0.0929857
+0.0927449
+0.0925553
+0.0924173
+0.0923311
+0.0910882
+0.0893438
+0.0876195
+0.0859165
+0.084236
+0.0825473
+0.0808805
+0.0792365
+0.0776145
+0.0760209
+0.0744577
+0.0729269
+0.0714063
+0.069919
+0.0684695
+0.0670603
+0.065694
+0.06437
+0.0630582
+0.0617916
+0.0605779
+0.0594201
+0.0583167
+0.0572641
+0.0562615
+0.0553271
+0.0544648
+0.0536671
+0.0529418
+0.0522837
+0.0516677
+0.0511238
+0.0506651
+0.050257
+0.0499418
+0.0496944
+0.0495394
+0.0494763
+0.0494961
+0.0496086
+0.0498027
+0.0500894
+0.0504538
+0.0507397
+0.0501379
+0.0496256
+0.0492056
+0.048877
+0.0486439
+0.0485087
+0.0484723
+0.0485348
+0.0486911
+0.0489401
+0.0492853
+0.0497247
+0.0502559
+0.0508759
+0.0515816
+0.0523695
+0.0532359
+0.0541771
+0.0551892
+0.0562621
+0.057397
+0.0585919
+0.0598431
+0.0611472
+0.0625009
+0.063901
+0.0653446
+0.0668288
+0.0683475
+0.0698977
+0.0714814
+0.0730964
+0.0747408
+0.0764126
+0.0781097
+0.0798233
+0.0815555
+0.0831633
+0.0846079
+0.0860839
+0.0994346
+0.0986947
+0.0979935
+0.0973318
+0.0967152
+0.0961446
+0.0956207
+0.0951395
+0.0947016
+0.0943127
+0.0939732
+0.0936837
+0.0934447
+0.0932566
+0.0931196
+0.0930341
+0.0922043
+0.0904814
+0.0887792
+0.087074
+0.0853817
+0.0837125
+0.0820678
+0.0804478
+0.0788506
+0.0772725
+0.0757229
+0.0741933
+0.072697
+0.0712367
+0.0698146
+0.0684331
+0.0670729
+0.0657424
+0.0644585
+0.0632201
+0.0620343
+0.0609042
+0.0598218
+0.0587878
+0.0578112
+0.0569023
+0.0560621
+0.055261
+0.0545046
+0.0538268
+0.0532218
+0.0526514
+0.0521669
+0.0517707
+0.0514516
+0.0512083
+0.0510579
+0.0509909
+0.050992
+0.051087
+0.0512755
+0.0515485
+0.0511235
+0.0504312
+0.0498257
+0.0493101
+0.0488874
+0.0485574
+0.0483228
+0.0481867
+0.04815
+0.048213
+0.0483695
+0.0486202
+0.0489677
+0.0494099
+0.0499444
+0.0505683
+0.0512782
+0.0520706
+0.052942
+0.0538883
+0.0549058
+0.0559841
+0.0571245
+0.0583249
+0.0595817
+0.0608914
+0.0622507
+0.0636563
+0.0651053
+0.0665949
+0.0681224
+0.0696852
+0.0712758
+0.0728954
+0.0745442
+0.0762203
+0.0779219
+0.0796475
+0.0813033
+0.0827223
+0.0841744
+0.0856579
+0.100133
+0.0993963
+0.0986954
+0.0980384
+0.0974263
+0.0968598
+0.0963399
+0.0958672
+0.0954374
+0.0950515
+0.0947147
+0.0944275
+0.0941904
+0.0940037
+0.0938678
+0.093783
+0.0933584
+0.0916373
+0.0899241
+0.0882321
+0.0865624
+0.0849137
+0.0832864
+0.0816746
+0.0800903
+0.0785352
+0.0770041
+0.0755
+0.0740302
+0.0725967
+0.0711977
+0.0698087
+0.0684613
+0.0671583
+0.065902
+0.0646912
+0.0635328
+0.062419
+0.0613594
+0.0603522
+0.0594014
+0.0584913
+0.0576172
+0.0568077
+0.0560616
+0.055372
+0.0547411
+0.0541868
+0.0537162
+0.0533294
+0.0530042
+0.0527681
+0.0526063
+0.0525159
+0.0525169
+0.0526092
+0.052549
+0.0516904
+0.0509117
+0.0502165
+0.0496083
+0.0490905
+0.0486659
+0.0483351
+0.0480994
+0.0479627
+0.0479258
+0.0479891
+0.0481456
+0.0483974
+0.0487465
+0.0491907
+0.0497276
+0.0503541
+0.051067
+0.0518627
+0.0527375
+0.0536874
+0.0547086
+0.0557908
+0.056935
+0.0581394
+0.0594001
+0.0607137
+0.0620769
+0.0634863
+0.0649392
+0.0664325
+0.0679636
+0.06953
+0.0711294
+0.0727596
+0.0744116
+0.0760906
+0.0777951
+0.0795206
+0.0809115
+0.0823373
+0.083796
+0.0852861
+0.100873
+0.100136
+0.0994405
+0.0987885
+0.0981811
+0.097619
+0.0971031
+0.0966341
+0.0962128
+0.0958347
+0.0955006
+0.0952158
+0.0949806
+0.0947956
+0.0946608
+0.0945767
+0.0944887
+0.0927764
+0.0910841
+0.0894087
+0.0877559
+0.0861271
+0.0845161
+0.0829282
+0.0813683
+0.0798362
+0.0783252
+0.0768469
+0.0754033
+0.0739759
+0.0725736
+0.0712111
+0.0698907
+0.0686149
+0.0673837
+0.0662
+0.06506
+0.0639691
+0.0629356
+0.061912
+0.0609417
+0.060031
+0.0591635
+0.0583654
+0.0576083
+0.0569196
+0.0563048
+0.055766
+0.0553088
+0.054915
+0.0545822
+0.0543359
+0.0541719
+0.0540842
+0.0540851
+0.0533712
+0.0524346
+0.0515741
+0.0507935
+0.0500967
+0.0494871
+0.048968
+0.0485423
+0.0482114
+0.0479751
+0.047838
+0.0478011
+0.0478645
+0.0480207
+0.0482731
+0.0486231
+0.0490685
+0.0496067
+0.0502347
+0.0509492
+0.0517468
+0.0526234
+0.0535754
+0.0545987
+0.055683
+0.0568294
+0.0580359
+0.0592989
+0.0606147
+0.06198
+0.0633917
+0.0648466
+0.066342
+0.0678751
+0.0694436
+0.0710449
+0.072677
+0.0743378
+0.0760238
+0.0777298
+0.0791805
+0.0805774
+0.0820089
+0.0834734
+0.0849692
+0.101651
+0.100918
+0.100228
+0.0995812
+0.0989786
+0.0984211
+0.0979094
+0.0974443
+0.0970265
+0.0966565
+0.09633
+0.0960476
+0.0958145
+0.0956311
+0.0954975
+0.0954141
+0.0953809
+0.0939441
+0.0922685
+0.0906149
+0.0889845
+0.0873749
+0.0857841
+0.0842201
+0.0826846
+0.0811703
+0.0796846
+0.0782202
+0.0767782
+0.0753644
+0.0739884
+0.0726525
+0.0713588
+0.0701081
+0.0689016
+0.0677397
+0.0665969
+0.0655
+0.0644508
+0.0634458
+0.0624941
+0.0615834
+0.0607342
+0.0599214
+0.0591785
+0.0585083
+0.0579033
+0.0573687
+0.056909
+0.0565031
+0.0561798
+0.0559313
+0.0557604
+0.0554145
+0.0543499
+0.0533486
+0.0524116
+0.0515507
+0.0507698
+0.0500726
+0.0494627
+0.0489431
+0.0485169
+0.0481863
+0.0479506
+0.0478135
+0.0477765
+0.04784
+0.0479955
+0.0482481
+0.0485983
+0.0490438
+0.0495823
+0.0502106
+0.0509255
+0.0517234
+0.0526005
+0.0535528
+0.0545766
+0.0556613
+0.0568082
+0.0580151
+0.0592785
+0.0605948
+0.0619605
+0.0633726
+0.064828
+0.0663238
+0.0678573
+0.0694262
+0.0710279
+0.0726604
+0.0743216
+0.0760097
+0.0775331
+0.0788999
+0.0803016
+0.081738
+0.0832073
+0.0847077
+0.102469
+0.101742
+0.101057
+0.100415
+0.0998179
+0.0992651
+0.0987578
+0.0982967
+0.0978825
+0.0975158
+0.097197
+0.0969219
+0.0966909
+0.0965091
+0.0963767
+0.096294
+0.0962612
+0.0951432
+0.0934891
+0.0918574
+0.0902486
+0.0886562
+0.0870887
+0.0855486
+0.0840333
+0.082537
+0.0810537
+0.0796025
+0.0781784
+0.0767904
+0.0754404
+0.0741306
+0.0728624
+0.0716126
+0.0703922
+0.0692197
+0.0680974
+0.0670243
+0.0659907
+0.0650053
+0.0640618
+0.0631609
+0.0623027
+0.0615106
+0.0607786
+0.0601101
+0.0595147
+0.0589897
+0.0585165
+0.058122
+0.0577955
+0.0575468
+0.0566075
+0.0554793
+0.0544118
+0.0534029
+0.0524662
+0.0516056
+0.0508248
+0.0501277
+0.0495178
+0.0489983
+0.0485721
+0.0482418
+0.0480073
+0.0478703
+0.0478334
+0.0478968
+0.0480556
+0.0483116
+0.0486649
+0.0491135
+0.0496543
+0.0502821
+0.050996
+0.0517928
+0.0526687
+0.0536199
+0.0546423
+0.0557258
+0.0568714
+0.058077
+0.0593391
+0.060654
+0.0620185
+0.0634293
+0.0648834
+0.0663779
+0.0679102
+0.0694779
+0.0710785
+0.0727098
+0.0743699
+0.0759491
+0.0772921
+0.0786687
+0.0800745
+0.0815149
+0.0829881
+0.0844924
+0.103326
+0.102605
+0.101926
+0.10129
+0.100698
+0.10015
+0.0996471
+0.0991901
+0.0987797
+0.0984163
+0.0981005
+0.0978327
+0.0976085
+0.0974284
+0.0972973
+0.0972154
+0.0971829
+0.0963771
+0.0947446
+0.0931337
+0.0915431
+0.0899725
+0.0884284
+0.086912
+0.0853959
+0.0839059
+0.0824465
+0.0810131
+0.0796142
+0.0782516
+0.0769031
+0.07559
+0.074314
+0.0730758
+0.0718803
+0.0707324
+0.0696346
+0.0685718
+0.0675536
+0.066592
+0.0656348
+0.0647354
+0.0638986
+0.0631131
+0.0623926
+0.0617415
+0.0611395
+0.0606039
+0.0601433
+0.0597585
+0.0591851
+0.0579416
+0.0567555
+0.0556231
+0.0545487
+0.0535425
+0.0526083
+0.05175
+0.0509714
+0.0502763
+0.0496682
+0.0491504
+0.0487255
+0.0483962
+0.0481618
+0.0480253
+0.0479885
+0.0480517
+0.0482106
+0.0484658
+0.048818
+0.0492652
+0.0498048
+0.0504339
+0.0511492
+0.051947
+0.0528237
+0.0537753
+0.0547957
+0.0558762
+0.0570187
+0.0582213
+0.0594803
+0.0607922
+0.0621536
+0.0635614
+0.0650126
+0.0665042
+0.0680337
+0.0695985
+0.0711964
+0.0728251
+0.0744604
+0.0757664
+0.0771126
+0.0784857
+0.0798947
+0.0813383
+0.0828146
+0.0843221
+0.104222
+0.103508
+0.102835
+0.102204
+0.101617
+0.101074
+0.100576
+0.100124
+0.0997169
+0.0993569
+0.0990441
+0.0987789
+0.0985617
+0.0983877
+0.0982579
+0.0981768
+0.0981446
+0.0971767
+0.0955772
+0.0940016
+0.0924511
+0.0909268
+0.0894303
+0.0879629
+0.0865261
+0.0851214
+0.0837504
+0.0824126
+0.0810286
+0.0796631
+0.078335
+0.077043
+0.0757884
+0.0745747
+0.0734036
+0.0722799
+0.0711835
+0.0701348
+0.0691344
+0.0681405
+0.0672033
+0.0663252
+0.0655052
+0.0647345
+0.0640186
+0.0633678
+0.0627748
+0.0622533
+0.0618051
+0.0606859
+0.0593931
+0.058154
+0.0569722
+0.0558431
+0.0547731
+0.053771
+0.0528408
+0.0519863
+0.0512114
+0.0505196
+0.0499145
+0.0493992
+0.0489765
+0.0486489
+0.0484151
+0.0482793
+0.0482427
+0.0483055
+0.0484643
+0.0487181
+0.0490685
+0.0495134
+0.0500504
+0.0506764
+0.0513883
+0.0521825
+0.0530553
+0.054003
+0.0550215
+0.0561072
+0.0572496
+0.0584474
+0.0597016
+0.0610088
+0.0623655
+0.0637686
+0.0652151
+0.0667022
+0.0682273
+0.0697878
+0.0713814
+0.073006
+0.0743263
+0.0756224
+0.0769591
+0.0783343
+0.079746
+0.0811922
+0.0826712
+0.0841812
+0.105155
+0.104447
+0.10378
+0.103155
+0.102574
+0.102036
+0.101542
+0.101094
+0.100691
+0.100335
+0.100025
+0.0997625
+0.0995474
+0.099377
+0.0992484
+0.0991682
+0.0989339
+0.097314
+0.0957168
+0.0941435
+0.0925953
+0.0910735
+0.0895795
+0.0881145
+0.0866802
+0.085278
+0.0839096
+0.0825744
+0.0812759
+0.0800162
+0.0787974
+0.0776212
+0.0764898
+0.0754049
+0.0743689
+0.0733836
+0.0724512
+0.0715737
+0.0706873
+0.0697151
+0.068799
+0.0679312
+0.0671196
+0.0663577
+0.0656596
+0.0650209
+0.0644431
+0.0636882
+0.0623037
+0.0609664
+0.0596796
+0.0584466
+0.0572709
+0.0561478
+0.0550836
+0.0540873
+0.0531627
+0.0523135
+0.0515435
+0.0508562
+0.0502551
+0.0497433
+0.0493236
+0.0489981
+0.0487656
+0.0486308
+0.0485944
+0.0486568
+0.048815
+0.049067
+0.049415
+0.0498568
+0.0503901
+0.051012
+0.0517192
+0.0525084
+0.0533759
+0.0543179
+0.0553307
+0.0564104
+0.0575533
+0.0587544
+0.0600022
+0.0613029
+0.0626533
+0.0640501
+0.0654904
+0.0669714
+0.0684904
+0.0700451
+0.071633
+0.0729759
+0.074231
+0.0755289
+0.0768672
+0.078244
+0.0796572
+0.081105
+0.0825856
+0.0840971
+0.106124
+0.105422
+0.104762
+0.104143
+0.103567
+0.103034
+0.102546
+0.102102
+0.101703
+0.10135
+0.101044
+0.100784
+0.100571
+0.100404
+0.100277
+0.100198
+0.0991171
+0.0975003
+0.0959062
+0.0943361
+0.0927911
+0.0912726
+0.0897818
+0.0883202
+0.0868893
+0.0854906
+0.0841256
+0.0827939
+0.0814988
+0.0802427
+0.0790274
+0.0778547
+0.0767266
+0.0756452
+0.0746125
+0.0736305
+0.0727012
+0.0718268
+0.0710064
+0.0702431
+0.0695404
+0.0689003
+0.0683245
+0.0678113
+0.0673319
+0.066705
+0.0654519
+0.0640305
+0.0626535
+0.0613239
+0.0600448
+0.0588194
+0.0576513
+0.0565358
+0.0554791
+0.05449
+0.0535723
+0.0527297
+0.0519658
+0.0512842
+0.0506882
+0.0501808
+0.0497648
+0.0494416
+0.0492112
+0.0490776
+0.0490416
+0.0491034
+0.0492608
+0.0495105
+0.0498554
+0.0502933
+0.050822
+0.0514387
+0.0521402
+0.0529231
+0.0537839
+0.0547189
+0.0557244
+0.0567966
+0.0579319
+0.0591265
+0.0603722
+0.0616651
+0.0630077
+0.0643968
+0.0658296
+0.0673031
+0.0688148
+0.0703623
+0.0717341
+0.0729448
+0.0742004
+0.0754988
+0.0768376
+0.0782149
+0.0796287
+0.081077
+0.082558
+0.0840701
+0.107129
+0.106434
+0.10578
+0.105167
+0.104597
+0.10407
+0.103586
+0.103146
+0.102752
+0.102402
+0.102099
+0.101842
+0.101631
+0.101467
+0.101343
+0.100983
+0.0993484
+0.0977353
+0.0961452
+0.094579
+0.0930381
+0.0915237
+0.0900371
+0.0885797
+0.087153
+0.0857586
+0.084398
+0.0830706
+0.0817799
+0.0805282
+0.0793172
+0.0781489
+0.0770251
+0.075948
+0.0749194
+0.0739391
+0.0730094
+0.0721343
+0.0713158
+0.0705559
+0.0698564
+0.0692191
+0.068646
+0.0681384
+0.0676954
+0.067312
+0.0658579
+0.0644455
+0.0630776
+0.0617571
+0.0604871
+0.0592709
+0.0581119
+0.0570053
+0.0559575
+0.054977
+0.0540676
+0.0532328
+0.0524763
+0.0518014
+0.0512115
+0.0507093
+0.0502977
+0.0499772
+0.0497493
+0.0496172
+0.0495816
+0.0496427
+0.049799
+0.0500461
+0.0503872
+0.0508206
+0.0513439
+0.0519544
+0.052649
+0.0534244
+0.0542773
+0.0552039
+0.0562008
+0.0572641
+0.0583902
+0.0595757
+0.0608122
+0.0620959
+0.0634294
+0.0648095
+0.0662333
+0.067698
+0.0692011
+0.0706064
+0.0717693
+0.0729794
+0.0742344
+0.0755322
+0.0768705
+0.0782472
+0.0796604
+0.0811081
+0.0825886
+0.0841001
+0.10817
+0.107481
+0.106833
+0.106227
+0.105662
+0.10514
+0.104661
+0.104226
+0.103836
+0.10349
+0.10319
+0.102935
+0.102727
+0.102565
+0.102444
+0.101258
+0.0996273
+0.0980188
+0.0964333
+0.0948719
+0.0933358
+0.0918263
+0.0903447
+0.0888924
+0.0874708
+0.0860815
+0.0847261
+0.0834039
+0.0821185
+0.080872
+0.0796662
+0.0785031
+0.0773825
+0.0763062
+0.0752783
+0.0743009
+0.0733758
+0.0725051
+0.0716909
+0.0709349
+0.0702392
+0.0696055
+0.0690355
+0.0685309
+0.0680904
+0.0677148
+0.0663339
+0.0649318
+0.0635744
+0.0622644
+0.061005
+0.0597993
+0.0586507
+0.0575545
+0.0565169
+0.0555463
+0.0546463
+0.0538205
+0.0530724
+0.0524052
+0.0518221
+0.0513259
+0.0509192
+0.0506022
+0.0503771
+0.0502466
+0.0502114
+0.0502718
+0.0504268
+0.0506708
+0.0510077
+0.0514359
+0.051953
+0.0525564
+0.0532431
+0.05401
+0.0548538
+0.0557709
+0.0567577
+0.0578108
+0.0589265
+0.0601014
+0.0613273
+0.0626005
+0.0639234
+0.0652931
+0.0667065
+0.0681611
+0.0695985
+0.0707101
+0.0718713
+0.0730797
+0.074333
+0.0756291
+0.0769657
+0.0783408
+0.0797523
+0.0811984
+0.0826773
+0.0841872
+0.109118
+0.108562
+0.107921
+0.107321
+0.106762
+0.106245
+0.105771
+0.105341
+0.104954
+0.104613
+0.104315
+0.104064
+0.103858
+0.103697
+0.103224
+0.101578
+0.0999534
+0.0983503
+0.0967702
+0.0952144
+0.0936839
+0.0921801
+0.0907042
+0.0892577
+0.0878421
+0.0864588
+0.0851094
+0.0837932
+0.0825139
+0.0812717
+0.080068
+0.0789068
+0.07779
+0.0767194
+0.0756972
+0.0747252
+0.0738054
+0.0729399
+0.0721305
+0.0713793
+0.0706879
+0.0700583
+0.069492
+0.0689907
+0.0685532
+0.0681801
+0.0668782
+0.0654878
+0.0641421
+0.062844
+0.0615964
+0.0604026
+0.0592657
+0.0581811
+0.0571548
+0.0561952
+0.0553058
+0.05449
+0.0537512
+0.0530925
+0.052517
+0.0520275
+0.0516264
+0.0513131
+0.0510911
+0.0509624
+0.0509278
+0.0509873
+0.0511406
+0.0513813
+0.0517137
+0.052136
+0.0526462
+0.0532418
+0.0539198
+0.0546772
+0.0555108
+0.0564172
+0.057393
+0.0584346
+0.0595386
+0.0607017
+0.0619157
+0.063177
+0.0644881
+0.065846
+0.0672479
+0.068691
+0.0697725
+0.0708813
+0.0720398
+0.0732454
+0.074496
+0.0757893
+0.0771231
+0.0784954
+0.0799042
+0.0813476
+0.0828238
+0.0843311
+0.10995
+0.109677
+0.109042
+0.108448
+0.107895
+0.107383
+0.106915
+0.106489
+0.106107
+0.105768
+0.105475
+0.105226
+0.105022
+0.104863
+0.103586
+0.101945
+0.100326
+0.0987293
+0.0971554
+0.0956058
+0.0940817
+0.0925843
+0.091115
+0.0896752
+0.0882662
+0.0868896
+0.0855459
+0.0842325
+0.0829561
+0.0817185
+0.0805215
+0.079367
+0.0782567
+0.0771926
+0.0761767
+0.0752109
+0.0742972
+0.0734375
+0.0726336
+0.0718876
+0.0712012
+0.0705761
+0.0700141
+0.0695165
+0.0690824
+0.0687122
+0.0674893
+0.0661118
+0.064779
+0.0634939
+0.0622594
+0.0610785
+0.0599544
+0.0588825
+0.0578687
+0.0569211
+0.0560432
+0.0552383
+0.0545097
+0.0538603
+0.0532931
+0.0528107
+0.0524156
+0.0521064
+0.0518879
+0.0517612
+0.051727
+0.0517856
+0.0519367
+0.0521742
+0.0525016
+0.0529176
+0.0534204
+0.0540074
+0.0546759
+0.055423
+0.0562456
+0.0571403
+0.0581039
+0.059133
+0.0602242
+0.0613743
+0.0625752
+0.0638235
+0.0651216
+0.0664666
+0.0678556
+0.0689614
+0.0700146
+0.0711197
+0.0722743
+0.0734761
+0.0747228
+0.0760122
+0.0773422
+0.0787107
+0.0801157
+0.0815554
+0.0830279
+0.0845315
+0.11082
+0.110611
+0.110195
+0.109607
+0.10906
+0.108554
+0.10809
+0.107669
+0.107291
+0.106957
+0.106666
+0.10642
+0.106218
+0.105637
+0.103984
+0.10235
+0.100737
+0.0991467
+0.0975796
+0.0960368
+0.0945197
+0.0930293
+0.0915672
+0.0901346
+0.0887329
+0.0873637
+0.0860264
+0.0847204
+0.0834515
+0.0822213
+0.0810318
+0.0798846
+0.0787816
+0.0777247
+0.0767159
+0.075757
+0.0748499
+0.0739966
+0.0731989
+0.0724587
+0.0717777
+0.0711577
+0.0706003
+0.0701069
+0.0696764
+0.0693094
+0.0681654
+0.0668018
+0.0654831
+0.0642121
+0.0629916
+0.0618247
+0.0607144
+0.0596562
+0.0586557
+0.0577211
+0.0568556
+0.0560623
+0.0553445
+0.054705
+0.0541467
+0.053672
+0.0532828
+0.0529786
+0.0527636
+0.052639
+0.0526055
+0.0526631
+0.0528116
+0.0530458
+0.0533678
+0.0537772
+0.054272
+0.0548499
+0.0555082
+0.0562443
+0.057055
+0.0579372
+0.0588878
+0.0599035
+0.0609809
+0.0621169
+0.0633038
+0.064538
+0.065822
+0.0671529
+0.0682744
+0.0692688
+0.0703174
+0.0714178
+0.0725676
+0.0737647
+0.0750066
+0.0762912
+0.0776164
+0.0789801
+0.0803804
+0.0818154
+0.0832833
+0.0847824
+0.111726
+0.111518
+0.111353
+0.110797
+0.110256
+0.109756
+0.109297
+0.108881
+0.108507
+0.108176
+0.107889
+0.107646
+0.107446
+0.106072
+0.104425
+0.102798
+0.101193
+0.0996098
+0.09805
+0.0965148
+0.0950052
+0.0935227
+0.0920683
+0.0906436
+0.0892499
+0.0878888
+0.0865596
+0.0852618
+0.084001
+0.0827791
+0.0815976
+0.0804585
+0.0793635
+0.0783145
+0.0773133
+0.0763619
+0.0754621
+0.0746158
+0.0738248
+0.073091
+0.0724159
+0.0718015
+0.0712491
+0.0707602
+0.0703337
+0.0699702
+0.0689045
+0.0675558
+0.0662521
+0.0649961
+0.0637907
+0.0626386
+0.0615431
+0.0604993
+0.059513
+0.0585921
+0.0577396
+0.0569587
+0.0562523
+0.0556232
+0.0550742
+0.0546076
+0.0542246
+0.0539256
+0.0537145
+0.0535921
+0.0535591
+0.0536157
+0.0537616
+0.0539923
+0.0543087
+0.054711
+0.0551974
+0.0557657
+0.0564134
+0.0571378
+0.057936
+0.058805
+0.0597418
+0.0607432
+0.061806
+0.0629271
+0.064099
+0.0653182
+0.0665871
+0.0677156
+0.0686482
+0.0696373
+0.0706804
+0.0717752
+0.0729195
+0.0741108
+0.075347
+0.0766259
+0.0779454
+0.0793035
+0.0806982
+0.0821276
+0.0835901
+0.0850838
+0.112667
+0.112461
+0.112297
+0.112018
+0.111482
+0.110988
+0.110534
+0.110123
+0.109753
+0.109426
+0.109142
+0.108901
+0.108209
+0.10655
+0.104911
+0.103291
+0.101694
+0.100119
+0.0985669
+0.0970398
+0.0955386
+0.0940644
+0.0926186
+0.0912025
+0.0898175
+0.0884651
+0.0871447
+0.0858557
+0.0846038
+0.0833907
+0.082218
+0.0810876
+0.0800012
+0.0789607
+0.0779678
+0.0770245
+0.0761325
+0.0752937
+0.0745099
+0.0737829
+0.0731143
+0.0725057
+0.0719587
+0.0714747
+0.0710525
+0.0706926
+0.0697046
+0.0683717
+0.0670839
+0.0658438
+0.0646541
+0.0635178
+0.0624376
+0.061409
+0.0604376
+0.059531
+0.0586922
+0.0579241
+0.0572296
+0.0566114
+0.0560721
+0.0556138
+0.0552372
+0.0549438
+0.0547366
+0.0546165
+0.0545841
+0.0546397
+0.0547828
+0.0550098
+0.0553203
+0.0557153
+0.0561931
+0.0567514
+0.057388
+0.0581002
+0.0588854
+0.0597406
+0.0606629
+0.0616493
+0.0626968
+0.0638023
+0.0649583
+0.0661617
+0.0672729
+0.0681547
+0.0690895
+0.0700723
+0.0711091
+0.0721974
+0.0733351
+0.0745198
+0.0757493
+0.0770215
+0.0783344
+0.0796858
+0.0810739
+0.0824969
+0.0839529
+0.0854402
+0.113642
+0.113438
+0.113276
+0.113156
+0.112733
+0.112244
+0.111795
+0.111388
+0.111023
+0.1107
+0.110419
+0.110181
+0.108722
+0.107071
+0.105439
+0.103828
+0.102239
+0.100673
+0.0991295
+0.0976112
+0.0961189
+0.0946538
+0.0932171
+0.0918102
+0.0904345
+0.0890915
+0.0877805
+0.086501
+0.0852586
+0.0840549
+0.0828916
+0.0817705
+0.0806934
+0.0796619
+0.0786778
+0.0777431
+0.0768595
+0.0760287
+0.0752526
+0.0745328
+0.073871
+0.0732687
+0.0727274
+0.0722486
+0.0718309
+0.071475
+0.0705637
+0.0692473
+0.0679761
+0.0667526
+0.0655794
+0.0644594
+0.0633953
+0.0623825
+0.0614265
+0.0605346
+0.0597099
+0.0589551
+0.0582729
+0.0576659
+0.0571365
+0.0566869
+0.0563169
+0.0560291
+0.0558259
+0.0557082
+0.0556765
+0.0557309
+0.0558713
+0.0560944
+0.056399
+0.0567865
+0.0572553
+0.0578033
+0.0584284
+0.0591281
+0.0598998
+0.0607408
+0.0616481
+0.062619
+0.0636505
+0.0647397
+0.0658794
+0.0669652
+0.0677802
+0.0686556
+0.0695889
+0.0705728
+0.0716022
+0.0726832
+0.0738134
+0.0749905
+0.0762124
+0.0774771
+0.0787823
+0.0801262
+0.0815068
+0.0829223
+0.084371
+0.0858511
+0.114651
+0.114449
+0.114288
+0.114169
+0.114011
+0.113527
+0.113084
+0.112682
+0.11232
+0.112001
+0.111724
+0.110938
+0.109276
+0.107633
+0.106011
+0.104409
+0.102828
+0.101271
+0.099737
+0.0982282
+0.0967454
+0.0952899
+0.0938629
+0.0924659
+0.0911001
+0.089767
+0.088466
+0.0871966
+0.0859642
+0.0847706
+0.0836173
+0.082506
+0.0814386
+0.0804166
+0.079442
+0.0785163
+0.0776415
+0.0768192
+0.0760512
+0.075339
+0.0746843
+0.0740886
+0.0735534
+0.0730799
+0.0726671
+0.0723153
+0.0714796
+0.0701805
+0.0689264
+0.0677201
+0.066564
+0.0654608
+0.0644132
+0.0634167
+0.0624765
+0.0615999
+0.0607896
+0.0600484
+0.0593787
+0.0587832
+0.0582639
+0.057823
+0.0574598
+0.0571778
+0.0569787
+0.0568634
+0.0568323
+0.0568856
+0.0570231
+0.0572423
+0.0575408
+0.0579207
+0.0583804
+0.058918
+0.0595314
+0.0602183
+0.0609762
+0.0618025
+0.0626945
+0.0636494
+0.0646644
+0.0657369
+0.0667999
+0.067546
+0.0683541
+0.0692222
+0.070148
+0.0711292
+0.0721586
+0.0732313
+0.0743532
+0.0755219
+0.0767354
+0.0779915
+0.0792883
+0.0806237
+0.081996
+0.0834032
+0.0848437
+0.0863157
+0.115693
+0.115492
+0.115333
+0.115215
+0.115139
+0.114838
+0.1144
+0.114002
+0.113645
+0.113329
+0.113055
+0.111524
+0.109871
+0.108238
+0.106624
+0.105031
+0.103461
+0.101913
+0.100389
+0.0988898
+0.0974171
+0.0959718
+0.0945551
+0.0931685
+0.0918131
+0.0904905
+0.0892001
+0.0879413
+0.0867195
+0.0855364
+0.0843935
+0.0832927
+0.0822354
+0.0812235
+0.0802586
+0.0793425
+0.0784769
+0.0776635
+0.0769038
+0.0761996
+0.0755524
+0.0749636
+0.0744347
+0.0739669
+0.073559
+0.0732115
+0.0724503
+0.0711688
+0.0699325
+0.0687438
+0.0676052
+0.0665193
+0.0654887
+0.0645088
+0.0635847
+0.0627236
+0.061928
+0.0612005
+0.0605437
+0.0599597
+0.0594507
+0.0590186
+0.0586623
+0.0583862
+0.0581912
+0.0580783
+0.0580478
+0.0581001
+0.0582347
+0.0584498
+0.0587422
+0.0591144
+0.0595648
+0.0600918
+0.0606934
+0.0613673
+0.0621111
+0.0629225
+0.0637989
+0.0647375
+0.0657358
+0.0667587
+0.0674533
+0.0681922
+0.0689928
+0.0698529
+0.0707704
+0.0717431
+0.0727688
+0.0738404
+0.0749531
+0.0761126
+0.0773168
+0.0785637
+0.0798512
+0.0811774
+0.0825404
+0.0839385
+0.0853699
+0.086833
+0.116766
+0.116568
+0.11641
+0.116293
+0.116218
+0.116176
+0.115742
+0.115349
+0.114996
+0.114684
+0.113812
+0.11215
+0.110507
+0.108883
+0.107279
+0.105696
+0.104135
+0.102597
+0.101084
+0.0995952
+0.0981331
+0.0966985
+0.0952927
+0.0939169
+0.0925725
+0.0912609
+0.0899816
+0.0887338
+0.0875231
+0.086351
+0.0852191
+0.084129
+0.0830824
+0.0820809
+0.0811262
+0.0802201
+0.079364
+0.0785597
+0.0778089
+0.0771129
+0.0764734
+0.0758918
+0.0753694
+0.0749074
+0.0745031
+0.07416
+0.0734734
+0.0722101
+0.0709919
+0.0698213
+0.0687005
+0.0676322
+0.0666188
+0.0656558
+0.0647481
+0.0639026
+0.0631219
+0.0624084
+0.0617643
+0.061192
+0.0606933
+0.0602697
+0.0599208
+0.0596505
+0.0594597
+0.0593491
+0.0593194
+0.0593705
+0.0595022
+0.0597133
+0.0599995
+0.060364
+0.0608052
+0.0613215
+0.0619111
+0.0625719
+0.0633016
+0.0640979
+0.0649584
+0.0658805
+0.0668527
+0.0674836
+0.0681708
+0.0689021
+0.0696945
+0.0705461
+0.0714547
+0.0724182
+0.0734344
+0.0745013
+0.0756118
+0.0767614
+0.0779556
+0.0791924
+0.0804698
+0.081786
+0.083139
+0.0845272
+0.0859488
+0.0874022
+0.117871
+0.117674
+0.117518
+0.117402
+0.117328
+0.117294
+0.11711
+0.116722
+0.116373
+0.115684
+0.114283
+0.112815
+0.111181
+0.109567
+0.107974
+0.106401
+0.104851
+0.103324
+0.101821
+0.100344
+0.0988925
+0.0974691
+0.0960745
+0.0947101
+0.0933771
+0.092077
+0.0908091
+0.0895729
+0.0883737
+0.087213
+0.0860924
+0.0850135
+0.083978
+0.0829873
+0.0820432
+0.0811472
+0.0803011
+0.0795063
+0.0787644
+0.078077
+0.0774455
+0.0768712
+0.0763555
+0.0758986
+0.0754983
+0.0751597
+0.0745469
+0.0733021
+0.0721024
+0.07095
+0.0698474
+0.0687969
+0.0678009
+0.0668549
+0.0659637
+0.065134
+0.0643683
+0.0636687
+0.0630375
+0.0624768
+0.0619885
+0.0615733
+0.0612319
+0.0609673
+0.0607807
+0.0606725
+0.0606434
+0.0606934
+0.0608223
+0.0610293
+0.0613094
+0.0616661
+0.062098
+0.0626037
+0.0631813
+0.063829
+0.0645445
+0.0653257
+0.0661702
+0.0670756
+0.067646
+0.0682696
+0.0689506
+0.0696736
+0.0704574
+0.0712998
+0.072199
+0.0731527
+0.0741588
+0.0752154
+0.0763202
+0.0774667
+0.0786501
+0.0798762
+0.0811428
+0.0824483
+0.0837906
+0.0851682
+0.0865793
+0.0880223
+0.119005
+0.11881
+0.118656
+0.118541
+0.118467
+0.118434
+0.118441
+0.118119
+0.117574
+0.116154
+0.11476
+0.113323
+0.111888
+0.110292
+0.108709
+0.107147
+0.105608
+0.104092
+0.1026
+0.101134
+0.0996942
+0.0982824
+0.0968996
+0.0955469
+0.0942258
+0.0929376
+0.0916816
+0.0904573
+0.0892699
+0.0881211
+0.0870122
+0.0859449
+0.0849206
+0.0839411
+0.0830078
+0.0821224
+0.0812864
+0.0805013
+0.0797687
+0.07909
+0.0784667
+0.0778999
+0.0773911
+0.0769381
+0.0765433
+0.0762093
+0.0756686
+0.0744425
+0.0732615
+0.0721277
+0.0710433
+0.0700108
+0.0690323
+0.0681034
+0.0672288
+0.0664149
+0.0656641
+0.0649785
+0.0643601
+0.0638111
+0.0633331
+0.0629262
+0.0625922
+0.0623334
+0.0621508
+0.0620451
+0.0620166
+0.0620655
+0.0621915
+0.0623943
+0.0626685
+0.0630175
+0.0634402
+0.0639353
+0.064501
+0.0651355
+0.0658368
+0.0666028
+0.0674314
+0.0679409
+0.0684917
+0.0691076
+0.0697869
+0.0705048
+0.0712794
+0.0721123
+0.0730014
+0.0739448
+0.0749403
+0.075986
+0.0770798
+0.0782196
+0.0793991
+0.0806138
+0.081869
+0.083163
+0.084494
+0.0858603
+0.0872602
+0.0886921
+0.120169
+0.119976
+0.119823
+0.11971
+0.119636
+0.119603
+0.11961
+0.119514
+0.118077
+0.116664
+0.115276
+0.113862
+0.112434
+0.111031
+0.109482
+0.107932
+0.106404
+0.104899
+0.103419
+0.101965
+0.100537
+0.0991375
+0.0977668
+0.0964263
+0.0951174
+0.0938414
+0.0925977
+0.0913856
+0.0902105
+0.0890738
+0.0879769
+0.0869214
+0.0859088
+0.0849407
+0.0840185
+0.0831439
+0.0823182
+0.0815431
+0.08082
+0.0801502
+0.0795351
+0.078976
+0.0784739
+0.0780253
+0.077636
+0.0773068
+0.0768364
+0.0756292
+0.074467
+0.0733519
+0.0722859
+0.0712713
+0.0703104
+0.0693986
+0.0685405
+0.0677424
+0.0670064
+0.0663347
+0.0657291
+0.0651916
+0.0647238
+0.0643252
+0.0639985
+0.0637455
+0.0635669
+0.0634636
+0.0634357
+0.0634835
+0.0636068
+0.063805
+0.0640736
+0.064415
+0.0648287
+0.0653132
+0.0658671
+0.0664885
+0.0671757
+0.0679267
+0.0683749
+0.0688526
+0.0693962
+0.0700042
+0.0706748
+0.0713935
+0.0721586
+0.0729815
+0.0738601
+0.0747927
+0.0757771
+0.0768113
+0.0778935
+0.0790216
+0.0801937
+0.0814036
+0.0826469
+0.0839289
+0.085248
+0.0866023
+0.0879904
+0.0894106
+0.121361
+0.12117
+0.121018
+0.120906
+0.120834
+0.120801
+0.120808
+0.120049
+0.118619
+0.117213
+0.115831
+0.11444
+0.113019
+0.111623
+0.110253
+0.108755
+0.107239
+0.105746
+0.104278
+0.102836
+0.101421
+0.100033
+0.098675
+0.097347
+0.0960506
+0.0947872
+0.0935561
+0.0923566
+0.091194
+0.0900697
+0.0889851
+0.0879417
+0.086941
+0.0859845
+0.0850737
+0.08421
+0.0833949
+0.0826299
+0.0819163
+0.0812555
+0.0806489
+0.0800976
+0.0796004
+0.0791582
+0.0787745
+0.0784501
+0.0780482
+0.0768601
+0.0757168
+0.0746203
+0.0735727
+0.0725761
+0.0716327
+0.0707379
+0.0698963
+0.0691139
+0.0683927
+0.0677347
+0.0671417
+0.0666156
+0.0661578
+0.0657675
+0.065448
+0.0652006
+0.065026
+0.064925
+0.0648978
+0.0649445
+0.065065
+0.0652588
+0.0655219
+0.0658558
+0.0662604
+0.0667346
+0.0672768
+0.0678853
+0.0685585
+0.0689456
+0.0693502
+0.0698212
+0.0703573
+0.0709571
+0.0716188
+0.0723377
+0.0730929
+0.0739054
+0.0747732
+0.0756945
+0.0766673
+0.0776897
+0.0787598
+0.0798757
+0.0810354
+0.0822372
+0.0834713
+0.0847432
+0.0860511
+0.087393
+0.0887687
+0.0901767
+0.122581
+0.122392
+0.122242
+0.122131
+0.122059
+0.122026
+0.122033
+0.120622
+0.119199
+0.1178
+0.116424
+0.115052
+0.113644
+0.112256
+0.110894
+0.109558
+0.108112
+0.106632
+0.105176
+0.103746
+0.102343
+0.100969
+0.0996231
+0.0983079
+0.0970244
+0.0957738
+0.0945555
+0.0933689
+0.0922191
+0.0911074
+0.0900353
+0.0890042
+0.0880156
+0.0870709
+0.0861716
+0.085319
+0.0845146
+0.0837598
+0.0830559
+0.0824043
+0.0818062
+0.0812627
+0.0807707
+0.0803349
+0.0799568
+0.0796372
+0.079302
+0.078133
+0.0770086
+0.0759307
+0.0749015
+0.0739228
+0.0729968
+0.072119
+0.0712936
+0.0705267
+0.0698201
+0.0691757
+0.0685952
+0.0680803
+0.0676323
+0.0672503
+0.0669378
+0.0666959
+0.0665253
+0.0664265
+0.0663999
+0.0664456
+0.0665634
+0.0667528
+0.0670106
+0.067337
+0.0677328
+0.0681968
+0.0687274
+0.0693232
+0.0696496
+0.0699816
+0.0703802
+0.0708444
+0.0713728
+0.0719641
+0.0726166
+0.0733288
+0.0740803
+0.074882
+0.0757386
+0.0766483
+0.0776092
+0.0786194
+0.079677
+0.0807802
+0.0819271
+0.083116
+0.0843372
+0.0855963
+0.0868924
+0.0882239
+0.089588
+0.0909833
+0.123827
+0.12364
+0.123491
+0.123382
+0.12331
+0.123276
+0.122671
+0.121232
+0.119816
+0.118424
+0.117056
+0.115699
+0.114307
+0.112927
+0.111573
+0.110246
+0.108947
+0.107554
+0.106111
+0.104694
+0.103304
+0.101943
+0.10061
+0.0993079
+0.0980375
+0.0968
+0.0955948
+0.0944212
+0.0932843
+0.0921855
+0.0911261
+0.0901075
+0.0891311
+0.0881984
+0.0873106
+0.0864693
+0.0856757
+0.0849312
+0.0842372
+0.0835947
+0.0830052
+0.082468
+0.0819828
+0.0815535
+0.0811811
+0.0808663
+0.0805959
+0.0794459
+0.0783404
+0.0772811
+0.07627
+0.0753092
+0.0744004
+0.0735393
+0.0727301
+0.0719785
+0.0712863
+0.0706552
+0.070087
+0.0695832
+0.0691444
+0.0687708
+0.0684653
+0.0682288
+0.068062
+0.0679655
+0.0679395
+0.0679841
+0.0680992
+0.0682845
+0.0685369
+0.0688561
+0.0692432
+0.0696971
+0.0702164
+0.0704828
+0.0707431
+0.07107
+0.0714625
+0.0719197
+0.0724403
+0.0730229
+0.0736661
+0.0743683
+0.0751155
+0.0759093
+0.0767545
+0.0776522
+0.0786008
+0.0795984
+0.0806432
+0.0817334
+0.0828671
+0.0840427
+0.0852506
+0.0864965
+0.0877793
+0.0890974
+0.0904495
+0.0918339
+0.1251
+0.124914
+0.124767
+0.124657
+0.124579
+0.12454
+0.123309
+0.121878
+0.12047
+0.119085
+0.117725
+0.116384
+0.115003
+0.113637
+0.112291
+0.110973
+0.109682
+0.10842
+0.107083
+0.105679
+0.104302
+0.102954
+0.101635
+0.100346
+0.0990886
+0.0978644
+0.0966725
+0.0955122
+0.0943884
+0.0933026
+0.092256
+0.09125
+0.090286
+0.0893653
+0.0884893
+0.0876592
+0.0868765
+0.0861424
+0.0854582
+0.084825
+0.0842441
+0.0837129
+0.0832349
+0.0828121
+0.0824454
+0.0821354
+0.081883
+0.0807969
+0.0797101
+0.0786693
+0.0776763
+0.076733
+0.0758413
+0.0749968
+0.0742035
+0.0734669
+0.0727889
+0.072171
+0.0716148
+0.0711217
+0.0706921
+0.0703267
+0.070028
+0.0697968
+0.0696338
+0.0695395
+0.0695141
+0.0695577
+0.0696702
+0.0698512
+0.0700984
+0.0704106
+0.0707892
+0.0712332
+0.0714408
+0.0716306
+0.0718867
+0.0722084
+0.0725948
+0.0730449
+0.0735575
+0.0741314
+0.074765
+0.075454
+0.0761905
+0.0769823
+0.0778187
+0.0787044
+0.0796404
+0.0806252
+0.0816568
+0.0827336
+0.0838538
+0.0850157
+0.0862101
+0.0874422
+0.0887114
+0.0900159
+0.0913544
+0.0927253
+0.126397
+0.126214
+0.126061
+0.125946
+0.125869
+0.125429
+0.123983
+0.12256
+0.12116
+0.119783
+0.118431
+0.117094
+0.115734
+0.114384
+0.113048
+0.111738
+0.110456
+0.109203
+0.10798
+0.1067
+0.105337
+0.104001
+0.102696
+0.10142
+0.100177
+0.0989659
+0.0977874
+0.0966405
+0.09553
+0.0944573
+0.0934237
+0.0924304
+0.0914788
+0.0905702
+0.089706
+0.0888873
+0.0881155
+0.0873918
+0.0867174
+0.0860935
+0.0855203
+0.084996
+0.0845252
+0.0841089
+0.0837479
+0.0834428
+0.0831943
+0.0821841
+0.0811159
+0.0800933
+0.0791182
+0.0781923
+0.0773175
+0.0764893
+0.0757116
+0.0749898
+0.0743257
+0.0737207
+0.0731762
+0.0726938
+0.0722731
+0.0719157
+0.0716237
+0.0713976
+0.0712383
+0.071146
+0.0711212
+0.0711638
+0.0712738
+0.0714508
+0.0716929
+0.0719982
+0.0723685
+0.0725185
+0.0726395
+0.0728262
+0.0730781
+0.0733946
+0.0737748
+0.0742178
+0.0747223
+0.0752873
+0.0759113
+0.0765869
+0.0773126
+0.0780931
+0.0789266
+0.0798028
+0.0807261
+0.0816977
+0.082716
+0.0837792
+0.0848856
+0.0860336
+0.087214
+0.0884322
+0.0896873
+0.0909778
+0.0923024
+0.0936594
+0.127713
+0.127524
+0.127373
+0.127259
+0.127183
+0.12613
+0.124692
+0.123277
+0.121885
+0.120517
+0.11917
+0.117836
+0.116501
+0.115163
+0.113841
+0.11254
+0.111268
+0.110024
+0.108811
+0.107628
+0.106406
+0.105084
+0.103792
+0.10253
+0.1013
+0.100103
+0.0989382
+0.0978048
+0.0967077
+0.0956482
+0.0946276
+0.0936471
+0.092708
+0.0918116
+0.0909591
+0.0901518
+0.0893909
+0.0886777
+0.0880131
+0.0873985
+0.0868319
+0.0863156
+0.0858521
+0.0854422
+0.0850868
+0.0847866
+0.084542
+0.0836057
+0.0825558
+0.0815513
+0.0805939
+0.0796852
+0.0788269
+0.0780147
+0.0772523
+0.0765451
+0.0758946
+0.0753017
+0.0747671
+0.0742926
+0.0738801
+0.0735306
+0.0732449
+0.0730239
+0.0728681
+0.072778
+0.0727537
+0.0727954
+0.0729029
+0.0730759
+0.0733141
+0.0736166
+0.0737011
+0.0737648
+0.0738838
+0.0740673
+0.0743151
+0.0746263
+0.0750003
+0.075436
+0.0759325
+0.0764885
+0.0771028
+0.0777651
+0.0784799
+0.0792488
+0.0800703
+0.0809428
+0.081856
+0.0828144
+0.0838191
+0.0848685
+0.0859609
+0.0870947
+0.0882609
+0.0894648
+0.0907056
+0.0919819
+0.0932922
+0.094635
+0.129046
+0.128859
+0.128709
+0.128596
+0.128297
+0.126861
+0.125435
+0.124029
+0.122645
+0.121285
+0.119939
+0.118614
+0.117303
+0.115975
+0.114671
+0.11338
+0.112117
+0.110883
+0.109678
+0.108505
+0.107364
+0.106201
+0.104923
+0.103675
+0.102459
+0.101275
+0.100124
+0.0990039
+0.0979203
+0.0968741
+0.0958665
+0.0948988
+0.0939722
+0.093088
+0.0922473
+0.0914514
+0.0907014
+0.0899985
+0.0893438
+0.0887381
+0.0881785
+0.0876701
+0.0872138
+0.0868104
+0.0864606
+0.0861651
+0.0859245
+0.0850558
+0.084024
+0.0830373
+0.0820972
+0.0812053
+0.0803632
+0.079569
+0.0788195
+0.0781242
+0.0774847
+0.0769023
+0.0763783
+0.0759139
+0.0755103
+0.0751683
+0.0748889
+0.0746728
+0.0745204
+0.0744323
+0.0744085
+0.0744493
+0.0745544
+0.0747236
+0.0749565
+0.0749896
+0.074991
+0.0750544
+0.0751713
+0.0753517
+0.0755952
+0.0759012
+0.0762689
+0.0766975
+0.0771858
+0.0777329
+0.0783374
+0.0789864
+0.0796903
+0.0804476
+0.081257
+0.0821169
+0.0830257
+0.0839734
+0.0849644
+0.0859998
+0.087078
+0.0881974
+0.0893492
+0.0905387
+0.091765
+0.0930267
+0.0943225
+0.0956508
+0.130402
+0.130217
+0.130068
+0.129957
+0.129044
+0.127617
+0.126212
+0.124814
+0.12344
+0.122085
+0.120743
+0.119427
+0.118137
+0.116823
+0.11553
+0.114252
+0.112999
+0.111774
+0.11058
+0.109416
+0.108284
+0.107185
+0.106087
+0.104853
+0.10365
+0.10248
+0.101343
+0.100237
+0.0991664
+0.0981335
+0.097139
+0.0961841
+0.09527
+0.0943979
+0.093569
+0.0927844
+0.0920453
+0.0913528
+0.0907079
+0.0901094
+0.0895584
+0.0890579
+0.0886087
+0.0882117
+0.0878675
+0.0875768
+0.08734
+0.0865364
+0.0855225
+0.0845533
+0.0836302
+0.0827548
+0.0819287
+0.081144
+0.0804092
+0.0797278
+0.0791012
+0.0785308
+0.0780177
+0.0775632
+0.0771682
+0.0768336
+0.0765603
+0.0763489
+0.0761999
+0.0761137
+0.0760904
+0.0761303
+0.0762331
+0.0763986
+0.076382
+0.0763206
+0.076322
+0.0763843
+0.0764991
+0.0766765
+0.0769158
+0.0772165
+0.077578
+0.0779994
+0.0784796
+0.0790177
+0.0796104
+0.080249
+0.0809419
+0.0816876
+0.0824849
+0.0833321
+0.0842277
+0.0851667
+0.086144
+0.0871653
+0.0882293
+0.0893343
+0.0904775
+0.0916523
+0.0928639
+0.0941109
+0.095392
+0.0967056
+0.10336
+0.101684
+0.100028
+0.098392
+0.0967782
+0.0951874
+0.0936209
+0.0920799
+0.0905656
+0.0890795
+0.087623
+0.0861975
+0.0848047
+0.0834461
+0.0821235
+0.0808387
+0.0795934
+0.0783895
+0.07722
+0.0760952
+0.0750174
+0.0739888
+0.0730115
+0.0720875
+0.0712189
+0.0704078
+0.0696562
+0.068966
+0.0683391
+0.0677772
+0.067282
+0.0668549
+0.0664973
+0.0662103
+0.0659948
+0.0658516
+0.065781
+0.0657833
+0.0658585
+0.0660064
+0.0662265
+0.066518
+0.06688
+0.0672992
+0.0677851
+0.0683377
+0.0689556
+0.069637
+0.07038
+0.0711826
+0.072043
+0.072959
+0.0739286
+0.0749497
+0.0760202
+0.0771381
+0.0783013
+0.0795079
+0.0807559
+0.0820435
+0.0833682
+0.0847219
+0.0861098
+0.0875306
+0.0889827
+0.0904645
+0.0919746
+0.0935117
+0.0950744
+0.0966614
+0.0982717
+0.0999041
+0.101557
+0.103231
+0.104923
+0.106632
+0.108058
+0.109228
+0.110429
+0.111661
+0.112921
+0.11421
+0.115525
+0.116861
+0.118213
+0.119585
+0.120978
+0.122377
+0.123798
+0.125242
+0.126708
+0.128194
+0.1297
+0.131225
+0.132769
+0.134331
+0.13591
+0.137506
+0.138696
+0.13937
+0.102545
+0.100856
+0.0991854
+0.0975356
+0.0959074
+0.0943019
+0.0927205
+0.0911642
+0.0896345
+0.0881327
+0.0866603
+0.0852187
+0.0838096
+0.0824346
+0.0810955
+0.0797941
+0.0785322
+0.0773119
+0.076135
+0.0749952
+0.0739013
+0.072857
+0.0718643
+0.0709253
+0.0700424
+0.0692175
+0.0684528
+0.0677503
+0.0671121
+0.0665398
+0.0660353
+0.0656002
+0.0652357
+0.0649431
+0.0647234
+0.0645773
+0.0645053
+0.0645077
+0.0645844
+0.0647352
+0.0649596
+0.0652568
+0.0656258
+0.0660549
+0.0665498
+0.0671127
+0.0677418
+0.0684352
+0.0691911
+0.0700074
+0.070882
+0.0718128
+0.0727977
+0.0738344
+0.0749209
+0.0760549
+0.0772345
+0.0784575
+0.079722
+0.0810259
+0.082367
+0.0837369
+0.0851409
+0.0865776
+0.0880454
+0.0895427
+0.0910681
+0.0926202
+0.0941977
+0.0957993
+0.0974238
+0.0990701
+0.100737
+0.102424
+0.10409
+0.105218
+0.106375
+0.107563
+0.108783
+0.110033
+0.111312
+0.112619
+0.113952
+0.115296
+0.11666
+0.118046
+0.119446
+0.120863
+0.122302
+0.123763
+0.125246
+0.126749
+0.128272
+0.129814
+0.131375
+0.132953
+0.134548
+0.13616
+0.137485
+0.13815
+0.101771
+0.100069
+0.0983847
+0.0967212
+0.0950791
+0.0934594
+0.0918635
+0.0902925
+0.0887477
+0.0872306
+0.0857427
+0.0842854
+0.0828604
+0.0814695
+0.0801142
+0.0787966
+0.0775185
+0.0762819
+0.0750889
+0.0739416
+0.0728341
+0.0717742
+0.0707663
+0.0698126
+0.0689154
+0.0680768
+0.0672992
+0.0665846
+0.065935
+0.0653525
+0.0648388
+0.0643955
+0.0640242
+0.063726
+0.0635021
+0.0633532
+0.0632798
+0.0632822
+0.0633604
+0.0635141
+0.0637428
+0.0640456
+0.0644216
+0.0648607
+0.0653647
+0.0659377
+0.0665779
+0.0672833
+0.068052
+0.0688818
+0.0697705
+0.0707159
+0.0717159
+0.072768
+0.0738702
+0.0750201
+0.0762157
+0.0774548
+0.0787354
+0.0800554
+0.0814125
+0.0827981
+0.0842178
+0.08567
+0.0871531
+0.0886654
+0.0902057
+0.0917724
+0.0933642
+0.0949798
+0.0966181
+0.098278
+0.0999582
+0.101264
+0.10238
+0.10353
+0.104711
+0.105918
+0.107156
+0.108425
+0.109723
+0.111048
+0.112387
+0.113741
+0.115121
+0.116524
+0.117935
+0.11937
+0.120827
+0.122306
+0.123806
+0.125326
+0.126866
+0.128425
+0.130002
+0.131597
+0.133209
+0.134837
+0.136284
+0.136954
+0.101038
+0.0993233
+0.0976267
+0.09595
+0.0942944
+0.0926611
+0.0910511
+0.0894658
+0.0879066
+0.0863747
+0.0848717
+0.0833993
+0.0819589
+0.0805523
+0.0791814
+0.077848
+0.0765541
+0.0753017
+0.0740929
+0.0729298
+0.0718148
+0.0707428
+0.0697199
+0.0687517
+0.0678405
+0.0669885
+0.066198
+0.0654714
+0.0648107
+0.0642179
+0.0636951
+0.0632438
+0.0628657
+0.062562
+0.0623339
+0.0621822
+0.0621074
+0.0621099
+0.0621895
+0.0623461
+0.0625791
+0.0628875
+0.0632703
+0.0637195
+0.0642325
+0.0648155
+0.0654666
+0.0661839
+0.0669652
+0.0678083
+0.0687109
+0.0696707
+0.0706854
+0.0717527
+0.0728702
+0.0740357
+0.0752469
+0.0765017
+0.0777979
+0.0791336
+0.0805063
+0.0819072
+0.0833421
+0.0848093
+0.0863071
+0.0878341
+0.0893886
+0.0909694
+0.092575
+0.0942042
+0.0958558
+0.0973911
+0.0984538
+0.0995534
+0.100689
+0.101858
+0.103061
+0.104293
+0.10555
+0.106838
+0.108154
+0.109487
+0.110833
+0.112205
+0.113598
+0.115014
+0.116446
+0.117898
+0.119373
+0.12087
+0.122388
+0.123926
+0.125483
+0.127059
+0.128653
+0.130264
+0.131892
+0.133534
+0.135107
+0.135783
+0.100348
+0.0986211
+0.0969122
+0.0952229
+0.0935545
+0.091908
+0.0902846
+0.0886856
+0.0871124
+0.0855663
+0.0840489
+0.0825618
+0.0811065
+0.0796849
+0.0782988
+0.0769501
+0.0756408
+0.074373
+0.0731489
+0.0719706
+0.0708405
+0.0697609
+0.0687275
+0.0677451
+0.0668201
+0.0659549
+0.0651519
+0.0644135
+0.0637418
+0.0631391
+0.0626072
+0.062148
+0.0617632
+0.061454
+0.0612218
+0.0610673
+0.0609912
+0.0609937
+0.0610748
+0.0612343
+0.0614714
+0.0617854
+0.062175
+0.0626342
+0.063156
+0.0637488
+0.0644107
+0.0651396
+0.0659333
+0.0667894
+0.0677056
+0.0686795
+0.0697086
+0.0707906
+0.0719231
+0.0731037
+0.0743301
+0.0756001
+0.0769115
+0.0782623
+0.07965
+0.0810657
+0.0825152
+0.0839969
+0.085509
+0.0870499
+0.0886182
+0.0902125
+0.0918313
+0.0934735
+0.0946184
+0.0956618
+0.0967435
+0.0978623
+0.0990169
+0.100206
+0.101424
+0.102672
+0.103952
+0.105261
+0.106597
+0.107934
+0.109291
+0.110675
+0.112085
+0.113519
+0.114978
+0.11645
+0.117943
+0.119457
+0.120993
+0.122548
+0.124122
+0.12571
+0.127316
+0.128939
+0.130579
+0.132234
+0.133905
+0.134638
+0.0997012
+0.0979629
+0.0962423
+0.094541
+0.0928604
+0.0912013
+0.0895651
+0.0879531
+0.0863665
+0.0848068
+0.0832756
+0.0817744
+0.0803048
+0.0788688
+0.0774681
+0.0761047
+0.0747806
+0.073498
+0.072259
+0.071066
+0.0699212
+0.0688272
+0.0677863
+0.0667936
+0.0658553
+0.0649773
+0.0641621
+0.0634121
+0.0627297
+0.0621171
+0.0615764
+0.0611095
+0.060718
+0.0604036
+0.0601673
+0.0600101
+0.0599326
+0.0599352
+0.0600177
+0.06018
+0.0604213
+0.0607407
+0.0611369
+0.0616024
+0.0621328
+0.0627353
+0.0634078
+0.0641481
+0.0649539
+0.0658228
+0.0667523
+0.0677398
+0.0687831
+0.0698794
+0.0710264
+0.0722216
+0.0734627
+0.0747475
+0.0760736
+0.0774391
+0.0788417
+0.0802753
+0.0817388
+0.0832342
+0.0847599
+0.0863143
+0.0878957
+0.0895028
+0.0908853
+0.0918666
+0.0928892
+0.0939518
+0.0950529
+0.0961914
+0.0973656
+0.0985677
+0.0998034
+0.101072
+0.102371
+0.1037
+0.105035
+0.106384
+0.107761
+0.109165
+0.110594
+0.112047
+0.113525
+0.115024
+0.116531
+0.118059
+0.119607
+0.121175
+0.122762
+0.124367
+0.12599
+0.12763
+0.129286
+0.130952
+0.132627
+0.133518
+0.0990986
+0.0973495
+0.0956179
+0.0939053
+0.092213
+0.0905421
+0.0888938
+0.0872694
+0.0856701
+0.0840976
+0.0825532
+0.0810386
+0.0795554
+0.0781056
+0.076691
+0.0753135
+0.0739753
+0.0726784
+0.0714252
+0.070218
+0.0690592
+0.0679513
+0.0668968
+0.0658907
+0.0649393
+0.0640488
+0.0632216
+0.0624603
+0.0617674
+0.0611452
+0.0605958
+0.0601213
+0.0597234
+0.0594037
+0.0591634
+0.0590035
+0.0589247
+0.0589273
+0.0590113
+0.0591763
+0.0594216
+0.0597464
+0.0601492
+0.0606279
+0.0611672
+0.0617791
+0.0624619
+0.0632133
+0.0640309
+0.0649121
+0.0658544
+0.0668552
+0.067912
+0.0690222
+0.0701832
+0.0713926
+0.0726479
+0.0739468
+0.075287
+0.0766665
+0.078083
+0.0795346
+0.0810141
+0.0825227
+0.0840613
+0.0856283
+0.0872222
+0.0881803
+0.0891375
+0.0901378
+0.0911798
+0.092262
+0.0933831
+0.0945386
+0.095726
+0.0969485
+0.0982046
+0.0994931
+0.100813
+0.102148
+0.103489
+0.104858
+0.106255
+0.107678
+0.109126
+0.110599
+0.112095
+0.113598
+0.115123
+0.116669
+0.118235
+0.119821
+0.121425
+0.123048
+0.124688
+0.126345
+0.128005
+0.129681
+0.131372
+0.132426
+0.098541
+0.0967819
+0.0950399
+0.0933167
+0.0916136
+0.0899315
+0.0882718
+0.0866357
+0.0850245
+0.0834398
+0.081883
+0.0803558
+0.0788598
+0.077397
+0.0759691
+0.0745783
+0.0732266
+0.0719163
+0.0706496
+0.0694289
+0.0682567
+0.0671356
+0.0660681
+0.0650491
+0.0640852
+0.0631826
+0.062344
+0.0615719
+0.0608688
+0.0602373
+0.0596796
+0.0591977
+0.0587935
+0.0584687
+0.0582246
+0.0580622
+0.0579821
+0.0579847
+0.05807
+0.0582377
+0.058487
+0.0588169
+0.0592261
+0.0597128
+0.0602658
+0.0608867
+0.0615794
+0.0623415
+0.0631703
+0.0640633
+0.065018
+0.0660315
+0.0671013
+0.0682246
+0.069399
+0.0706218
+0.0718905
+0.0732029
+0.0745565
+0.0759492
+0.0773789
+0.0788435
+0.0803411
+0.0818636
+0.0834144
+0.084617
+0.0855019
+0.0864333
+0.0874096
+0.0884295
+0.0894914
+0.0905938
+0.0917291
+0.0929008
+0.0941089
+0.0953521
+0.096629
+0.0979382
+0.0992734
+0.100606
+0.101966
+0.103355
+0.104772
+0.106215
+0.107683
+0.109174
+0.110672
+0.112194
+0.113738
+0.115302
+0.116887
+0.11849
+0.120113
+0.121753
+0.123404
+0.125064
+0.126741
+0.128434
+0.130141
+0.13136
+0.0980292
+0.0962608
+0.0945091
+0.0927761
+0.0910629
+0.0893705
+0.0877001
+0.0860531
+0.0844309
+0.0828348
+0.0812664
+0.0797273
+0.0782194
+0.0767443
+0.0753041
+0.0739008
+0.0725365
+0.0712134
+0.069934
+0.0687006
+0.0675158
+0.0663821
+0.0653023
+0.0642712
+0.0632955
+0.0623814
+0.0615318
+0.0607494
+0.0600368
+0.0593964
+0.0588307
+0.0583418
+0.0579317
+0.057602
+0.0573542
+0.0571893
+0.057108
+0.0571106
+0.0571973
+0.0573675
+0.0576206
+0.0579554
+0.0583706
+0.0588644
+0.0594314
+0.0600611
+0.0607632
+0.0615353
+0.0623748
+0.0632791
+0.0642454
+0.0652709
+0.066353
+0.0674888
+0.0686757
+0.0699111
+0.0711926
+0.0725176
+0.0738837
+0.0752889
+0.0767308
+0.0782076
+0.0797172
+0.0811834
+0.0819978
+0.0828528
+0.0837563
+0.0847069
+0.0857029
+0.0867429
+0.0878234
+0.0889387
+0.0900935
+0.0912862
+0.0925154
+0.0937797
+0.0950733
+0.0963819
+0.0977166
+0.0990814
+0.100468
+0.101878
+0.103315
+0.104778
+0.106258
+0.107753
+0.109272
+0.110813
+0.112375
+0.113958
+0.115561
+0.117183
+0.118824
+0.12047
+0.122132
+0.12381
+0.125504
+0.127212
+0.128936
+0.130323
+0.097564
+0.0957869
+0.0940264
+0.0922844
+0.0905618
+0.0888599
+0.0871797
+0.0855227
+0.0838902
+0.0822836
+0.0807045
+0.0791545
+0.0776354
+0.0761491
+0.0746974
+0.0732825
+0.0719064
+0.0705716
+0.0692803
+0.068035
+0.0668384
+0.0656931
+0.0646017
+0.0635593
+0.0625725
+0.0616477
+0.0607879
+0.0599957
+0.059274
+0.0586253
+0.0580521
+0.0575566
+0.0571408
+0.0568066
+0.0565553
+0.056388
+0.0563056
+0.0563083
+0.0563961
+0.0565688
+0.0568254
+0.0571649
+0.0575858
+0.0580863
+0.0586644
+0.0593048
+0.0600158
+0.0607974
+0.061647
+0.0625618
+0.063539
+0.0645757
+0.0656692
+0.0668167
+0.0680153
+0.0692625
+0.0705558
+0.0718925
+0.0732703
+0.074687
+0.0761404
+0.0776283
+0.0786204
+0.0794029
+0.0802272
+0.0811012
+0.0820244
+0.0829951
+0.0840118
+0.0850728
+0.0861694
+0.0873058
+0.0884819
+0.089696
+0.0909423
+0.0922056
+0.0935032
+0.0948286
+0.0961845
+0.0975707
+0.0989861
+0.100427
+0.101884
+0.103354
+0.104845
+0.106359
+0.107897
+0.109458
+0.111039
+0.112641
+0.114262
+0.115901
+0.117546
+0.119208
+0.120887
+0.122582
+0.124292
+0.126017
+0.127757
+0.129315
+0.0971459
+0.095361
+0.0935925
+0.0918422
+0.0901112
+0.0884006
+0.0867116
+0.0850455
+0.0834036
+0.0817875
+0.0801986
+0.0786386
+0.0771094
+0.0756127
+0.0741505
+0.0727249
+0.0713381
+0.0699924
+0.0686902
+0.0674341
+0.0662266
+0.0650705
+0.0639686
+0.0629156
+0.0619186
+0.0609839
+0.0601145
+0.0593134
+0.0585833
+0.0579269
+0.0573467
+0.056845
+0.056424
+0.0560855
+0.0558309
+0.0556615
+0.055578
+0.0555807
+0.0556697
+0.0558446
+0.0561045
+0.0564484
+0.0568746
+0.0573813
+0.0579664
+0.0586208
+0.0593399
+0.0601303
+0.0609892
+0.0619137
+0.062901
+0.0639481
+0.0650521
+0.0662103
+0.0674197
+0.0686777
+0.0699818
+0.0713292
+0.0727177
+0.074145
+0.0753909
+0.0760924
+0.0768429
+0.0776323
+0.0784741
+0.0793673
+0.0803105
+0.0813017
+0.0823393
+0.0834215
+0.0845398
+0.0856978
+0.0868911
+0.0881036
+0.0893533
+0.0906388
+0.0919543
+0.0933005
+0.0946783
+0.0960863
+0.0975232
+0.0989877
+0.100461
+0.101947
+0.103458
+0.104992
+0.10655
+0.10813
+0.109731
+0.111351
+0.112986
+0.11463
+0.116293
+0.117972
+0.119668
+0.12138
+0.123108
+0.124849
+0.126605
+0.128336
+0.0967756
+0.0949838
+0.0932081
+0.0914505
+0.0897119
+0.0879935
+0.0862965
+0.0846222
+0.082972
+0.0813473
+0.0797496
+0.0781807
+0.0766423
+0.0751363
+0.0736647
+0.0722295
+0.070833
+0.0694776
+0.0681656
+0.0668996
+0.0656823
+0.0645164
+0.0634048
+0.0623424
+0.061336
+0.0603923
+0.0595143
+0.058705
+0.0579672
+0.0573037
+0.0567171
+0.0562099
+0.0557841
+0.0554416
+0.0551841
+0.0550127
+0.0549282
+0.0549309
+0.055021
+0.0551979
+0.0554609
+0.0558087
+0.0562397
+0.0567521
+0.0573437
+0.0580114
+0.058738
+0.0595364
+0.0604037
+0.0613371
+0.0623335
+0.0633899
+0.0645035
+0.0656714
+0.0668905
+0.0681583
+0.0694721
+0.0708293
+0.0722272
+0.0729284
+0.0735881
+0.0743066
+0.0750756
+0.0758824
+0.0767434
+0.0776566
+0.0786202
+0.0796325
+0.0806915
+0.0817956
+0.0829315
+0.0840869
+0.085283
+0.086518
+0.0877903
+0.0890949
+0.0904307
+0.0917993
+0.0931993
+0.0946293
+0.0960879
+0.097574
+0.0990613
+0.100568
+0.102099
+0.103654
+0.105231
+0.106831
+0.10845
+0.11008
+0.111725
+0.113387
+0.115067
+0.116765
+0.118478
+0.120207
+0.121951
+0.123709
+0.12548
+0.127194
+0.0964525
+0.0946555
+0.0928738
+0.0911097
+0.0893645
+0.0876393
+0.0859353
+0.0842539
+0.0825963
+0.080964
+0.0793587
+0.0777819
+0.0762354
+0.0747212
+0.0732412
+0.0717976
+0.0703925
+0.0690284
+0.0677077
+0.066433
+0.065207
+0.0640325
+0.0629123
+0.0618414
+0.0608267
+0.059875
+0.0589893
+0.0581727
+0.0574281
+0.0567583
+0.056166
+0.0556537
+0.0552237
+0.0548777
+0.0546176
+0.0544443
+0.0543589
+0.0543617
+0.0544528
+0.0546315
+0.0548972
+0.0552486
+0.0556839
+0.0562014
+0.0567986
+0.0574733
+0.0582081
+0.0590137
+0.0598886
+0.0608299
+0.0618344
+0.0628993
+0.0640214
+0.0651978
+0.0664257
+0.0677022
+0.0690247
+0.0699645
+0.0705159
+0.0711306
+0.0718069
+0.072543
+0.0733302
+0.074156
+0.0750367
+0.0759704
+0.0769552
+0.0779891
+0.0790614
+0.080165
+0.0813008
+0.0824793
+0.0836984
+0.0849566
+0.0862521
+0.0875764
+0.088935
+0.0903262
+0.0917487
+0.093201
+0.0946816
+0.096189
+0.0976906
+0.0992179
+0.10077
+0.102345
+0.103942
+0.105561
+0.107186
+0.108829
+0.110492
+0.112173
+0.113871
+0.115586
+0.117317
+0.119063
+0.120823
+0.122597
+0.124384
+0.126061
+0.0961698
+0.0943674
+0.0925817
+0.0908138
+0.0890646
+0.0873354
+0.0856273
+0.0839411
+0.0822772
+0.0806385
+0.0790265
+0.0774429
+0.0758896
+0.0743683
+0.0728812
+0.0714303
+0.0700179
+0.0686463
+0.0673181
+0.0660358
+0.0648023
+0.0636203
+0.0624928
+0.0614146
+0.0603927
+0.0594341
+0.0585417
+0.0577188
+0.0569682
+0.0562929
+0.0556957
+0.0551791
+0.0547453
+0.0543963
+0.0541338
+0.053959
+0.0538728
+0.0538757
+0.0539675
+0.0541479
+0.0544159
+0.0547704
+0.0552095
+0.0557313
+0.0563336
+0.0570137
+0.0577544
+0.0585662
+0.0594477
+0.0603959
+0.0614075
+0.0624797
+0.0636092
+0.0647931
+0.0660285
+0.067216
+0.0676593
+0.068159
+0.0687249
+0.0693555
+0.0700489
+0.0708033
+0.0716092
+0.0724547
+0.0733549
+0.0742982
+0.0752935
+0.0763388
+0.0774205
+0.0785349
+0.079694
+0.0808958
+0.0821385
+0.0834202
+0.0847391
+0.0860869
+0.0874686
+0.0888828
+0.090328
+0.0918027
+0.0933029
+0.0948193
+0.0963502
+0.0978984
+0.0994707
+0.101066
+0.10268
+0.104303
+0.105946
+0.107608
+0.10929
+0.110989
+0.112705
+0.114437
+0.116185
+0.117948
+0.1197
+0.121464
+0.123241
+0.124956
+0.0959362
+0.0941293
+0.0923391
+0.0905664
+0.0888124
+0.0870782
+0.0853649
+0.083674
+0.0820067
+0.0803645
+0.0787491
+0.077162
+0.0756051
+0.0740786
+0.0725855
+0.0711286
+0.06971
+0.0683323
+0.0669978
+0.0657094
+0.0644696
+0.0632814
+0.0621477
+0.0610634
+0.0600355
+0.0590711
+0.0581732
+0.0573449
+0.0565894
+0.0559096
+0.0553082
+0.0547879
+0.054351
+0.0539995
+0.053735
+0.053559
+0.0534721
+0.053475
+0.0535675
+0.0537492
+0.0540193
+0.0543763
+0.0548186
+0.0553441
+0.0559505
+0.0566353
+0.0573809
+0.0581979
+0.0590849
+0.0600387
+0.0610563
+0.0621345
+0.0632702
+0.0644603
+0.0650208
+0.0654074
+0.0658634
+0.0663767
+0.0669577
+0.0676047
+0.0683159
+0.0690766
+0.0698837
+0.0707496
+0.0716626
+0.0726279
+0.0736458
+0.0747036
+0.0757947
+0.0769327
+0.0781156
+0.0793413
+0.0806079
+0.0819136
+0.0832564
+0.0846278
+0.0860329
+0.0874704
+0.0889385
+0.0904261
+0.0919377
+0.0934762
+0.0950404
+0.0966106
+0.0982035
+0.0998108
+0.101432
+0.103075
+0.104737
+0.106419
+0.108119
+0.109836
+0.11157
+0.11329
+0.115027
+0.116779
+0.118546
+0.120326
+0.12212
+0.123866
+0.0957522
+0.0939418
+0.0921479
+0.0903714
+0.0886136
+0.0868754
+0.0851581
+0.0834629
+0.0817914
+0.0801448
+0.0785248
+0.0769331
+0.0753714
+0.0738418
+0.0723461
+0.0708866
+0.0694655
+0.0680853
+0.066748
+0.0654546
+0.0642099
+0.0630168
+0.0618783
+0.0607892
+0.0597566
+0.0587876
+0.0578853
+0.0570528
+0.0562934
+0.05561
+0.0550053
+0.0544821
+0.0540427
+0.0536892
+0.0534232
+0.0532461
+0.0531588
+0.0531616
+0.0532547
+0.0534375
+0.0537091
+0.0540681
+0.0545129
+0.0550414
+0.0556511
+0.0563395
+0.057089
+0.0579101
+0.0588014
+0.0597598
+0.0607821
+0.061865
+0.0626257
+0.0629016
+0.0632253
+0.0636229
+0.0640921
+0.0646195
+0.0652161
+0.0658803
+0.0665826
+0.0673484
+0.068176
+0.0690632
+0.069998
+0.070986
+0.0720175
+0.073083
+0.074198
+0.0753601
+0.0765672
+0.0778174
+0.0791084
+0.0804384
+0.0818055
+0.0832009
+0.0846297
+0.0860874
+0.0875643
+0.0890707
+0.0906049
+0.0921657
+0.0937517
+0.0953557
+0.0969559
+0.0985756
+0.100217
+0.101879
+0.103561
+0.105255
+0.106945
+0.108651
+0.110374
+0.112113
+0.113867
+0.115637
+0.117421
+0.119218
+0.121028
+0.122804
+0.095618
+0.093805
+0.0920084
+0.0902293
+0.0884686
+0.0867275
+0.0850072
+0.083309
+0.0816343
+0.0799844
+0.0783611
+0.0767661
+0.0752009
+0.0736677
+0.0721684
+0.0707053
+0.0692805
+0.0678964
+0.0665558
+0.0652611
+0.0640153
+0.0628211
+0.0616817
+0.060593
+0.059557
+0.0585847
+0.0576792
+0.0568437
+0.0560815
+0.0553954
+0.0547884
+0.0542631
+0.0538219
+0.0534669
+0.0531998
+0.053022
+0.0529343
+0.0529372
+0.0530306
+0.0532142
+0.0534869
+0.0538475
+0.0542941
+0.0548246
+0.0554367
+0.0561277
+0.05688
+0.0577041
+0.0585986
+0.0595602
+0.0604973
+0.0606283
+0.0608379
+0.0611224
+0.0614555
+0.0618645
+0.0623435
+0.0628855
+0.0634881
+0.0641413
+0.064862
+0.0656478
+0.0664966
+0.0674059
+0.068363
+0.0693658
+0.0704033
+0.0714929
+0.0726322
+0.073819
+0.0750509
+0.0763259
+0.0776418
+0.0789965
+0.0803871
+0.0818026
+0.0832494
+0.0847192
+0.0862196
+0.087749
+0.089306
+0.0908891
+0.092487
+0.0940789
+0.0956945
+0.0973326
+0.098992
+0.100672
+0.102344
+0.104035
+0.105742
+0.107467
+0.109208
+0.110966
+0.112738
+0.114525
+0.116326
+0.11814
+0.119967
+0.121767
+0.0955339
+0.0937193
+0.091921
+0.0901402
+0.0883777
+0.0866348
+0.0849126
+0.0832125
+0.0815357
+0.0798839
+0.0782585
+0.0766613
+0.075094
+0.0735585
+0.072057
+0.0705915
+0.0691643
+0.067778
+0.0664349
+0.0651378
+0.0638896
+0.062693
+0.0615512
+0.0604673
+0.0594375
+0.0584632
+0.0575558
+0.0567185
+0.0559546
+0.0552669
+0.0546585
+0.0541319
+0.0536897
+0.0533338
+0.053066
+0.0528877
+0.0527998
+0.0528027
+0.0528964
+0.0530804
+0.0533538
+0.0537153
+0.054163
+0.0546948
+0.0553084
+0.0560009
+0.0567549
+0.0575808
+0.0584771
+0.0586658
+0.0587192
+0.0588541
+0.0590701
+0.0593509
+0.0596793
+0.0600858
+0.0605689
+0.0611261
+0.0617491
+0.0624302
+0.0631704
+0.0639771
+0.0648477
+0.0657798
+0.0667526
+0.0677593
+0.068821
+0.0699352
+0.0710995
+0.0723114
+0.0735686
+0.0748688
+0.0762099
+0.0775886
+0.0789936
+0.0804307
+0.0818925
+0.0833861
+0.0849101
+0.0864627
+0.0880424
+0.0896073
+0.0911968
+0.0928109
+0.0944482
+0.0961075
+0.0977726
+0.0994451
+0.101136
+0.102844
+0.104571
+0.106315
+0.108075
+0.10985
+0.111641
+0.113445
+0.115263
+0.117093
+0.118936
+0.120759
+0.0955
+0.0936847
+0.0918858
+0.0901042
+0.088341
+0.0865974
+0.0848745
+0.0831735
+0.081496
+0.0798433
+0.0782171
+0.076619
+0.0750508
+0.0735145
+0.072012
+0.0705456
+0.0691175
+0.0677302
+0.0663861
+0.0650881
+0.0638389
+0.0626414
+0.0614986
+0.0604137
+0.0593898
+0.0584237
+0.0575157
+0.0566778
+0.0559133
+0.0552251
+0.0546162
+0.0540893
+0.0536466
+0.0532905
+0.0530225
+0.0528441
+0.0527561
+0.052759
+0.0528527
+0.0530369
+0.0533105
+0.0536723
+0.0541203
+0.0546526
+0.0552666
+0.0559597
+0.0567141
+0.0570081
+0.0569282
+0.0568977
+0.0569514
+0.0570893
+0.0573013
+0.0575674
+0.0579059
+0.0583248
+0.0588223
+0.0593934
+0.0600343
+0.0607476
+0.0615104
+0.0623385
+0.0632318
+0.064175
+0.0651552
+0.0661862
+0.0672728
+0.0684122
+0.069602
+0.0708395
+0.0721224
+0.0734482
+0.0748138
+0.0762069
+0.0776333
+0.0790861
+0.0805722
+0.0820899
+0.0836375
+0.0851826
+0.0867426
+0.0883294
+0.0899416
+0.0915777
+0.0932342
+0.0948855
+0.096558
+0.0982486
+0.0999586
+0.101687
+0.103433
+0.105196
+0.106974
+0.108768
+0.110576
+0.112397
+0.114231
+0.116078
+0.117937
+0.119679
+0.0955113
+0.0937014
+0.0919028
+0.0901215
+0.0883587
+0.0866154
+0.0848928
+0.0831923
+0.0815151
+0.0798629
+0.0782371
+0.0766394
+0.0750716
+0.0735357
+0.0720337
+0.0705677
+0.0691401
+0.0677532
+0.0664096
+0.0651121
+0.0638633
+0.0626663
+0.061524
+0.0604395
+0.059416
+0.0584568
+0.0575589
+0.0567217
+0.0559578
+0.0552702
+0.0546618
+0.0541353
+0.053693
+0.0533372
+0.0530694
+0.0528911
+0.0528032
+0.0528061
+0.0528998
+0.0530838
+0.0533572
+0.0537186
+0.0541663
+0.0546981
+0.0553116
+0.0557177
+0.0554784
+0.0553035
+0.0551852
+0.0551537
+0.0552092
+0.0553448
+0.055541
+0.055813
+0.056162
+0.0565938
+0.0571065
+0.0576917
+0.0583514
+0.059085
+0.0598845
+0.0607348
+0.0616384
+0.0625887
+0.0635932
+0.0646491
+0.0657611
+0.0669263
+0.068142
+0.0694056
+0.0707145
+0.0720652
+0.0734452
+0.0748595
+0.0763022
+0.0777799
+0.0792905
+0.0808126
+0.0823389
+0.0838946
+0.0854781
+0.0870879
+0.0887226
+0.0903614
+0.0920121
+0.0936836
+0.0953748
+0.0970861
+0.0988162
+0.100564
+0.10233
+0.104111
+0.105907
+0.107719
+0.109544
+0.111382
+0.113233
+0.115096
+0.116966
+0.118606
+0.0955682
+0.0937607
+0.0919699
+0.0901921
+0.0884307
+0.0866888
+0.0849677
+0.0832687
+0.0815931
+0.0799425
+0.0783183
+0.0767223
+0.0751563
+0.0736221
+0.0721219
+0.0706578
+0.069232
+0.067847
+0.0665053
+0.0652097
+0.0639628
+0.0627677
+0.0616272
+0.0605446
+0.059523
+0.0585655
+0.0576737
+0.0568381
+0.0560758
+0.0553897
+0.0547826
+0.0542572
+0.053816
+0.053461
+0.0531939
+0.053016
+0.0529283
+0.0529312
+0.0530246
+0.0532082
+0.053481
+0.0538415
+0.0542882
+0.0548188
+0.0543918
+0.0540411
+0.0537773
+0.0535956
+0.0534752
+0.0534427
+0.0534964
+0.0536098
+0.0538123
+0.0540903
+0.0544504
+0.0548957
+0.0554234
+0.0560241
+0.0567032
+0.0574579
+0.0582851
+0.0591553
+0.060065
+0.0610397
+0.0620693
+0.0631506
+0.0642885
+0.0654799
+0.066722
+0.068012
+0.0693462
+0.0707113
+0.0721122
+0.0735435
+0.0750115
+0.0765067
+0.0779942
+0.0795141
+0.0810648
+0.0826445
+0.0842515
+0.0858783
+0.0875039
+0.0891537
+0.0908239
+0.0925156
+0.0942278
+0.0959595
+0.0977096
+0.0994771
+0.101261
+0.103061
+0.104876
+0.106705
+0.108547
+0.110402
+0.112269
+0.114114
+0.115966
+0.117564
+0.0956752
+0.0938698
+0.0920811
+0.0903101
+0.0885568
+0.0868174
+0.0850989
+0.0834026
+0.0817298
+0.0800819
+0.0784606
+0.0768676
+0.0753046
+0.0737736
+0.0722765
+0.0708155
+0.069393
+0.0680113
+0.0666729
+0.0653806
+0.064137
+0.0629452
+0.061808
+0.0607287
+0.0597102
+0.0587557
+0.0578668
+0.0570341
+0.0562744
+0.0555908
+0.0549859
+0.0544625
+0.054023
+0.0536693
+0.0534032
+0.053226
+0.0531387
+0.0531416
+0.0532347
+0.0534175
+0.0536892
+0.0540484
+0.0536789
+0.0531917
+0.0527414
+0.0523787
+0.0521054
+0.0519078
+0.0518013
+0.0517674
+0.0517921
+0.0519093
+0.0521183
+0.0524008
+0.0527724
+0.0532317
+0.0537746
+0.0543936
+0.0550928
+0.0558692
+0.0567196
+0.0575973
+0.0585312
+0.0595311
+0.0605862
+0.0616936
+0.0628578
+0.0640758
+0.0653446
+0.0666602
+0.0680088
+0.0693944
+0.0708109
+0.0722643
+0.0737189
+0.0751977
+0.0767105
+0.0782554
+0.0798306
+0.0814342
+0.08304
+0.0846634
+0.086311
+0.0879804
+0.0896722
+0.0913851
+0.0931182
+0.0948701
+0.0966399
+0.0984267
+0.10023
+0.102048
+0.10388
+0.105726
+0.107585
+0.109431
+0.111275
+0.113131
+0.114999
+0.116531
+0.0958321
+0.0940298
+0.0922442
+0.0904764
+0.0887275
+0.0869986
+0.0852863
+0.0835937
+0.0819248
+0.080281
+0.0786638
+0.0770749
+0.0755162
+0.0739895
+0.0724969
+0.0710405
+0.0696226
+0.0682455
+0.0669118
+0.0656242
+0.0643854
+0.0631982
+0.0620657
+0.0609909
+0.0599768
+0.0590267
+0.0581419
+0.0573132
+0.0565573
+0.0558771
+0.0552754
+0.0547547
+0.0543175
+0.0539658
+0.0537012
+0.053525
+0.0534381
+0.053441
+0.0535336
+0.0537154
+0.0533266
+0.0526759
+0.0521089
+0.0515829
+0.0511182
+0.0507438
+0.0504618
+0.0502589
+0.0501491
+0.0501002
+0.0501256
+0.0502467
+0.050457
+0.0507484
+0.0511321
+0.051606
+0.0521658
+0.0528037
+0.0535236
+0.0543225
+0.0551933
+0.0560817
+0.0570404
+0.058066
+0.0591471
+0.0602809
+0.0614719
+0.0627169
+0.0640116
+0.0653317
+0.0666886
+0.0680891
+0.069526
+0.0709569
+0.0724258
+0.0739304
+0.0754686
+0.0770384
+0.0786279
+0.080221
+0.0818416
+0.0834863
+0.0851546
+0.0868462
+0.0885596
+0.0902937
+0.0920473
+0.0938192
+0.0956085
+0.0974142
+0.0992354
+0.101071
+0.102921
+0.104768
+0.106602
+0.10845
+0.11031
+0.112182
+0.114066
+0.115384
+0.0960388
+0.0942404
+0.0924589
+0.0906953
+0.0889507
+0.0872263
+0.0855232
+0.0838417
+0.0821778
+0.0805391
+0.0789272
+0.0773438
+0.0757906
+0.0742696
+0.0727827
+0.0713321
+0.0699201
+0.068549
+0.0672213
+0.0659397
+0.0647069
+0.0635258
+0.0623992
+0.0613302
+0.0603219
+0.0593773
+0.0584978
+0.0576743
+0.0569231
+0.0562473
+0.0556496
+0.0551325
+0.0546984
+0.0543491
+0.0540863
+0.0539114
+0.0538252
+0.053828
+0.0533614
+0.0525816
+0.051835
+0.0511653
+0.0505777
+0.0500179
+0.0495385
+0.0491521
+0.0488609
+0.0486527
+0.0485334
+0.0484745
+0.0485009
+0.048626
+0.0488372
+0.0491382
+0.0495343
+0.0500234
+0.0506007
+0.051258
+0.0519994
+0.0528213
+0.0536992
+0.0546119
+0.055596
+0.0566477
+0.0577552
+0.0589158
+0.0601339
+0.0613889
+0.0626782
+0.0640164
+0.0654007
+0.0668061
+0.0682237
+0.0696813
+0.0711765
+0.072707
+0.0742706
+0.0758347
+0.0774232
+0.0790402
+0.0806815
+0.0823485
+0.0840394
+0.085753
+0.0874878
+0.0892427
+0.0910166
+0.0928082
+0.0946166
+0.0964409
+0.0982801
+0.100127
+0.101951
+0.103789
+0.10564
+0.107505
+0.109381
+0.111269
+0.113167
+0.114267
+0.0962949
+0.0945014
+0.0927249
+0.0909665
+0.0892272
+0.0875082
+0.0858107
+0.0841359
+0.0824854
+0.0808558
+0.0792503
+0.0776735
+0.076127
+0.0746129
+0.073133
+0.0716895
+0.0702846
+0.0689208
+0.0676004
+0.0663262
+0.0651007
+0.0639268
+0.0628075
+0.0617455
+0.0607441
+0.0598062
+0.0589331
+0.0581157
+0.0573703
+0.0566999
+0.056107
+0.0555941
+0.0551636
+0.0548173
+0.0545568
+0.0543834
+0.053789
+0.052834
+0.0519538
+0.0511525
+0.0503919
+0.0497027
+0.0490709
+0.0485014
+0.0480068
+0.047608
+0.0473073
+0.0470937
+0.046955
+0.0468949
+0.0469221
+0.0470515
+0.0472634
+0.0475744
+0.0479834
+0.0484881
+0.0490835
+0.0497609
+0.0505242
+0.0513671
+0.0522493
+0.0531917
+0.0542016
+0.0552798
+0.0564141
+0.0575893
+0.0588024
+0.0600673
+0.0613843
+0.062748
+0.064116
+0.065523
+0.0669677
+0.0684521
+0.0699736
+0.0715149
+0.073066
+0.0746492
+0.0762608
+0.0778991
+0.079564
+0.0812538
+0.0829671
+0.0847023
+0.0864583
+0.0882337
+0.0900274
+0.0918383
+0.0936654
+0.0955079
+0.0973241
+0.099151
+0.100992
+0.102848
+0.104716
+0.106596
+0.108488
+0.110386
+0.112283
+0.113181
+0.0966001
+0.0948123
+0.0930417
+0.0912894
+0.0895564
+0.0878438
+0.0861529
+0.084485
+0.0828414
+0.0812236
+0.0796324
+0.0780633
+0.0765247
+0.0750186
+0.0735469
+0.0721117
+0.0707152
+0.0693598
+0.068048
+0.0667823
+0.0655653
+0.0643999
+0.0632889
+0.0622352
+0.0612418
+0.0603116
+0.0594459
+0.0586357
+0.057897
+0.0572327
+0.0566454
+0.0561375
+0.0557111
+0.0553683
+0.0546305
+0.053524
+0.0524729
+0.0514935
+0.05059
+0.0497667
+0.0490042
+0.0482839
+0.0476173
+0.0470309
+0.0465227
+0.0461123
+0.0458031
+0.0455679
+0.04541
+0.0453492
+0.0453774
+0.0455111
+0.0457404
+0.0460617
+0.046484
+0.0470048
+0.0476188
+0.0483167
+0.0490777
+0.0499095
+0.050814
+0.0517955
+0.0528496
+0.0539615
+0.0550811
+0.0562636
+0.0575047
+0.0587975
+0.0601095
+0.0614582
+0.0628542
+0.0642889
+0.0657608
+0.0672718
+0.0687817
+0.0703248
+0.0719016
+0.0735068
+0.0751413
+0.0768035
+0.0784916
+0.080204
+0.0819392
+0.0836958
+0.0854725
+0.0872679
+0.089081
+0.0909096
+0.092725
+0.0945394
+0.0963693
+0.098214
+0.100073
+0.101945
+0.103829
+0.105725
+0.107621
+0.109523
+0.111434
+0.112128
+0.0969537
+0.0951726
+0.0934089
+0.0916636
+0.0899378
+0.0882326
+0.0865493
+0.0848892
+0.0832535
+0.0816439
+0.0800619
+0.0785092
+0.0769828
+0.0754857
+0.0740233
+0.0725975
+0.0712106
+0.0698648
+0.0685626
+0.0673066
+0.0660993
+0.0649435
+0.0638419
+0.0627975
+0.0618131
+0.0608917
+0.0600344
+0.0592322
+0.058501
+0.0578437
+0.0572626
+0.0567603
+0.0558514
+0.0546156
+0.0534257
+0.0522864
+0.05121
+0.0502062
+0.0492794
+0.0484275
+0.0476392
+0.0468923
+0.0462218
+0.0456062
+0.0450812
+0.0446576
+0.0443227
+0.0440741
+0.0439108
+0.043848
+0.0438771
+0.0440154
+0.0442617
+0.0445949
+0.045031
+0.0455684
+0.0461985
+0.0468813
+0.0476463
+0.0484941
+0.0494246
+0.0504331
+0.0515151
+0.0526357
+0.0537828
+0.0549933
+0.0562412
+0.0575169
+0.0588434
+0.0602204
+0.0616445
+0.0631068
+0.0645848
+0.0660807
+0.0676145
+0.0691826
+0.0707814
+0.0724111
+0.0740697
+0.0757554
+0.0774664
+0.079201
+0.0809577
+0.0827351
+0.0845296
+0.0863368
+0.0881583
+0.089958
+0.0917747
+0.0936075
+0.0954553
+0.0973174
+0.0991928
+0.101081
+0.102973
+0.104874
+0.10678
+0.108696
+0.110507
+0.111107
+0.0973554
+0.0955818
+0.0938258
+0.0920884
+0.0903707
+0.0886738
+0.0869991
+0.0853476
+0.083721
+0.0821206
+0.0805479
+0.0790047
+0.0774927
+0.0760075
+0.0745556
+0.0731406
+0.0717645
+0.0704296
+0.0691384
+0.0678934
+0.0666971
+0.0655522
+0.0644614
+0.0634276
+0.0624535
+0.061542
+0.0606959
+0.0599029
+0.0591801
+0.0585303
+0.0574372
+0.0560624
+0.0547407
+0.0534762
+0.0522725
+0.051102
+0.0500002
+0.0489716
+0.0480209
+0.0471472
+0.0463248
+0.0455595
+0.0448618
+0.0442369
+0.0436936
+0.043235
+0.0428835
+0.0426303
+0.0424566
+0.0423954
+0.042437
+0.0425799
+0.0428257
+0.0431686
+0.0436174
+0.0441512
+0.0447857
+0.0454795
+0.0462633
+0.0471361
+0.0480928
+0.0491286
+0.0502305
+0.0513691
+0.0525434
+0.05373
+0.0549766
+0.0562777
+0.0576328
+0.059038
+0.06049
+0.0619332
+0.063416
+0.0649389
+0.0664964
+0.0680877
+0.0697116
+0.0713657
+0.0730481
+0.0747568
+0.0764901
+0.0782427
+0.0800119
+0.0818016
+0.0836104
+0.0854119
+0.0872133
+0.0890321
+0.0908673
+0.092718
+0.0945832
+0.0964533
+0.0983358
+0.100231
+0.102136
+0.104048
+0.105971
+0.107904
+0.109515
+0.110121
+0.0978046
+0.0960392
+0.0942917
+0.092563
+0.0908543
+0.0891667
+0.0875014
+0.0858596
+0.0842429
+0.0826525
+0.0810902
+0.0795575
+0.0780562
+0.076582
+0.0751412
+0.0737373
+0.0723726
+0.0710491
+0.0697694
+0.0685359
+0.067351
+0.0662174
+0.0651377
+0.0641148
+0.0631513
+0.0622501
+0.0614138
+0.0606451
+0.0593445
+0.0578684
+0.0564292
+0.0550292
+0.0536821
+0.052392
+0.051163
+0.0499793
+0.0488522
+0.0477989
+0.0468244
+0.0459306
+0.0450663
+0.0442719
+0.0435536
+0.0428992
+0.0423392
+0.0418658
+0.0415027
+0.0412387
+0.0410569
+0.0409712
+0.0410024
+0.0411504
+0.0413924
+0.0417471
+0.042212
+0.0427636
+0.0434184
+0.0441344
+0.0449417
+0.0458396
+0.0468228
+0.047874
+0.0489997
+0.0501342
+0.051283
+0.0524963
+0.0537682
+0.0550978
+0.0564812
+0.0579032
+0.059325
+0.0607924
+0.062302
+0.0638476
+0.0654299
+0.0670466
+0.068695
+0.0703731
+0.0720733
+0.0737954
+0.0755418
+0.0773108
+0.0791009
+0.0809069
+0.0826904
+0.084493
+0.0863135
+0.0881509
+0.0899943
+0.0918525
+0.093725
+0.095611
+0.0975098
+0.0994187
+0.101335
+0.103262
+0.105199
+0.107147
+0.108555
+0.109166
+0.0983005
+0.0965442
+0.094806
+0.0930869
+0.091388
+0.0897104
+0.0880553
+0.0864241
+0.0848181
+0.0832387
+0.0816876
+0.0801664
+0.0786767
+0.0772143
+0.0757855
+0.0743938
+0.0730413
+0.0717303
+0.0704629
+0.0692417
+0.0680691
+0.0669477
+0.06588
+0.0648688
+0.0639167
+0.0630263
+0.0615599
+0.0599786
+0.0584364
+0.0569368
+0.0554795
+0.0540642
+0.0526933
+0.0513784
+0.0501169
+0.0489138
+0.0477745
+0.0466969
+0.0456743
+0.0447194
+0.0438463
+0.043028
+0.0423048
+0.0416325
+0.0410344
+0.0405457
+0.0401706
+0.0398733
+0.0396856
+0.0395969
+0.0396293
+0.0397785
+0.0400277
+0.0403944
+0.0408668
+0.0414359
+0.0421113
+0.0428525
+0.0436835
+0.0446067
+0.0456062
+0.0466839
+0.0478045
+0.0489099
+0.0500848
+0.051323
+0.0526232
+0.0539811
+0.0553637
+0.0567646
+0.0582141
+0.0597082
+0.0612409
+0.0628125
+0.0644203
+0.0660545
+0.0677171
+0.069409
+0.0711281
+0.0728725
+0.0746405
+0.0764304
+0.0782108
+0.0799944
+0.0817977
+0.0836104
+0.0854389
+0.0872841
+0.0891449
+0.0910204
+0.0929097
+0.0948119
+0.0967244
+0.0986443
+0.100575
+0.102517
+0.104455
+0.10639
+0.107631
+0.108247
+0.0988425
+0.097096
+0.0953678
+0.093659
+0.0919707
+0.0903039
+0.0886599
+0.0870401
+0.0854456
+0.0838781
+0.082339
+0.08083
+0.0793528
+0.0779031
+0.0764872
+0.0751085
+0.0737691
+0.0724712
+0.0712171
+0.070009
+0.0688495
+0.067741
+0.066686
+0.0656872
+0.0640655
+0.0623981
+0.060764
+0.0591614
+0.0575973
+0.0560752
+0.0545956
+0.0531569
+0.051771
+0.050437
+0.0491442
+0.0479167
+0.0467558
+0.0456177
+0.044554
+0.0435746
+0.0426563
+0.0418178
+0.041079
+0.0403832
+0.0397795
+0.0392794
+0.0388922
+0.038584
+0.0383903
+0.0382988
+0.0383322
+0.0384814
+0.038739
+0.0391177
+0.0395924
+0.0401691
+0.0408428
+0.0416209
+0.0424955
+0.0434411
+0.0444633
+0.0455664
+0.0466219
+0.0477526
+0.0489518
+0.0502178
+0.051546
+0.0528788
+0.0542554
+0.0556841
+0.0571576
+0.0586673
+0.0602188
+0.0618091
+0.0634351
+0.0650943
+0.066782
+0.068497
+0.0702385
+0.0720045
+0.0737761
+0.0755373
+0.0773202
+0.0791121
+0.0809236
+0.0827535
+0.0846005
+0.0864636
+0.0883417
+0.0902338
+0.0921393
+0.094055
+0.0959783
+0.0979129
+0.0998541
+0.101782
+0.10372
+0.105668
+0.106743
+0.107365
+0.0994279
+0.0976938
+0.0959764
+0.0942786
+0.0926016
+0.0909464
+0.0893142
+0.0877064
+0.0861243
+0.0845694
+0.0830432
+0.0815472
+0.0800832
+0.0786469
+0.0772447
+0.0758798
+0.0745542
+0.0732702
+0.07203
+0.0708358
+0.06969
+0.0685831
+0.0668188
+0.0650804
+0.06337
+0.0616899
+0.0600374
+0.0584149
+0.0568303
+0.0552871
+0.0537864
+0.0523255
+0.0509169
+0.0495428
+0.0482192
+0.0469595
+0.045758
+0.0446038
+0.0435153
+0.042494
+0.0415478
+0.0406864
+0.0399268
+0.0392105
+0.0385885
+0.0380825
+0.0376965
+0.0373787
+0.037179
+0.0370846
+0.0371192
+0.037268
+0.0375191
+0.0378845
+0.0383716
+0.038956
+0.0396503
+0.0404514
+0.0413532
+0.0423062
+0.0433481
+0.0444252
+0.0455119
+0.0466658
+0.0478921
+0.0491624
+0.0504501
+0.0517933
+0.0531846
+0.0546284
+0.0561206
+0.0576574
+0.0592354
+0.0608514
+0.0625023
+0.0641856
+0.0658987
+0.0676394
+0.0693877
+0.0711226
+0.0728821
+0.0746642
+0.0764556
+0.0782672
+0.0800979
+0.0819462
+0.083811
+0.0856912
+0.0875858
+0.089494
+0.0914127
+0.093339
+0.0952768
+0.0972022
+0.0991332
+0.101075
+0.103026
+0.104986
+0.105894
+0.106521
+0.10005
+0.0983286
+0.0966257
+0.0949429
+0.0932797
+0.0916367
+0.0900171
+0.0884221
+0.086853
+0.0853114
+0.0837986
+0.0823164
+0.0808663
+0.0794442
+0.0780563
+0.0767058
+0.0753948
+0.0741254
+0.0728997
+0.0716254
+0.0698005
+0.0679972
+0.0662172
+0.0644626
+0.0627354
+0.061038
+0.0593728
+0.0577417
+0.0561384
+0.0545739
+0.0530324
+0.0515369
+0.0500788
+0.0486713
+0.0473234
+0.0460391
+0.0448072
+0.0436403
+0.0425124
+0.0414626
+0.0405039
+0.0396296
+0.0388493
+0.0381277
+0.0374877
+0.0369667
+0.0365578
+0.0362228
+0.0360181
+0.0359402
+0.0359753
+0.0360973
+0.0363463
+0.0367245
+0.037228
+0.037831
+0.0385456
+0.0393603
+0.0402582
+0.0412356
+0.0422557
+0.0433229
+0.0444479
+0.0456077
+0.0468016
+0.0480527
+0.0493694
+0.0507412
+0.0521607
+0.053632
+0.0551512
+0.0567143
+0.0583178
+0.0599585
+0.0616333
+0.0633397
+0.0650722
+0.0667755
+0.0685065
+0.0702632
+0.0720434
+0.0738334
+0.0756444
+0.0774751
+0.079324
+0.0811899
+0.0830717
+0.0849683
+0.0868787
+0.0887998
+0.0907288
+0.092655
+0.0945774
+0.0965111
+0.0984551
+0.100407
+0.102368
+0.104338
+0.105084
+0.105715
+0.100717
+0.0990066
+0.0973156
+0.0956449
+0.0939955
+0.0923687
+0.0907656
+0.0891858
+0.0876304
+0.0861027
+0.0846041
+0.0831362
+0.0817007
+0.0802934
+0.0789204
+0.0775849
+0.0762891
+0.0748648
+0.0729894
+0.0711321
+0.0692942
+0.0674773
+0.0656833
+0.063914
+0.0621694
+0.0604454
+0.0587525
+0.0570934
+0.0554713
+0.0538731
+0.052311
+0.050783
+0.0493049
+0.0478812
+0.0464955
+0.0451675
+0.0439087
+0.0427173
+0.0415866
+0.0405169
+0.0395393
+0.0386349
+0.0378341
+0.0371232
+0.0364496
+0.0358971
+0.0354716
+0.0351317
+0.0349206
+0.0348463
+0.034873
+0.0350023
+0.035259
+0.0356488
+0.0361673
+0.0367891
+0.0375009
+0.0383227
+0.0392336
+0.0402081
+0.0412119
+0.0423027
+0.0433999
+0.0445312
+0.0457396
+0.047019
+0.0483639
+0.0497634
+0.05121
+0.0527079
+0.0542529
+0.0558412
+0.057469
+0.0591333
+0.0608309
+0.0625099
+0.0642065
+0.0659321
+0.0676847
+0.0694603
+0.0712495
+0.0730589
+0.0748887
+0.0767373
+0.0786036
+0.0804862
+0.0823841
+0.0842961
+0.0862191
+0.0881455
+0.0900576
+0.0919818
+0.0939145
+0.0958582
+0.0978124
+0.0997765
+0.101749
+0.1037
+0.104313
+0.104949
+0.101426
+0.099728
+0.0980495
+0.0963915
+0.0947552
+0.0931416
+0.091552
+0.0899877
+0.0884499
+0.0869402
+0.0854581
+0.0840052
+0.0825848
+0.0811928
+0.0798353
+0.0782624
+0.0763597
+0.0744575
+0.0725707
+0.0707006
+0.0688493
+0.0670186
+0.0652053
+0.0634125
+0.0616454
+0.0599063
+0.0581977
+0.0565224
+0.0548707
+0.0532533
+0.0516611
+0.0501114
+0.0486061
+0.0471433
+0.0457353
+0.0443846
+0.0431029
+0.0418886
+0.0407503
+0.0396654
+0.0386664
+0.0377393
+0.0369037
+0.0361508
+0.0354731
+0.0349052
+0.0344675
+0.0341204
+0.033903
+0.0338259
+0.033852
+0.0339787
+0.0342431
+0.0346443
+0.0351662
+0.035774
+0.0365033
+0.0373471
+0.038266
+0.0392166
+0.0402514
+0.0412915
+0.0423659
+0.0435242
+0.0447598
+0.0460664
+0.0474383
+0.0488643
+0.0503367
+0.0518598
+0.0534294
+0.0550414
+0.0566923
+0.0583439
+0.0599982
+0.0616861
+0.0634046
+0.0651485
+0.0669176
+0.0687081
+0.0705146
+0.0723424
+0.0741899
+0.0760555
+0.0779381
+0.0798364
+0.0817494
+0.0836735
+0.0855794
+0.0874891
+0.0894116
+0.0913461
+0.0932919
+0.0952484
+0.0972149
+0.0991756
+0.101129
+0.102985
+0.103583
+0.104223
+0.102177
+0.100492
+0.0988265
+0.0971818
+0.095559
+0.0939592
+0.0923837
+0.0908337
+0.0893106
+0.0878156
+0.0863504
+0.0849164
+0.0835153
+0.0817515
+0.0798241
+0.0779106
+0.0760012
+0.0740884
+0.0721911
+0.0703109
+0.0684491
+0.0666072
+0.06478
+0.0629751
+0.0611954
+0.0594431
+0.0577139
+0.0560073
+0.0543355
+0.0526938
+0.0510768
+0.049504
+0.0479796
+0.0464971
+0.0450689
+0.0436975
+0.0423951
+0.0411599
+0.0400009
+0.0389188
+0.0378673
+0.0369047
+0.0360496
+0.0352777
+0.0346036
+0.0340256
+0.0335591
+0.0331938
+0.0329704
+0.0328916
+0.0329203
+0.0330482
+0.0333107
+0.0336954
+0.0342163
+0.0348648
+0.0355974
+0.0364183
+0.0373429
+0.0383163
+0.0393144
+0.0403226
+0.0414222
+0.0426061
+0.0438675
+0.0452
+0.0465973
+0.0480483
+0.049545
+0.0510917
+0.0526842
+0.0543002
+0.0559026
+0.0575438
+0.0592203
+0.0609255
+0.0626606
+0.0644236
+0.0662121
+0.0680164
+0.0698408
+0.0716858
+0.0735497
+0.0754312
+0.077329
+0.0792419
+0.0811436
+0.0830424
+0.0849525
+0.0868758
+0.0888115
+0.0907588
+0.092717
+0.0946853
+0.0966333
+0.098588
+0.100552
+0.102292
+0.102894
+0.103525
+0.102939
+0.101288
+0.0996457
+0.0980147
+0.0964059
+0.0948204
+0.0932595
+0.0917243
+0.0902162
+0.0887365
+0.0872867
+0.0853792
+0.0834205
+0.0814737
+0.0795395
+0.077619
+0.0756904
+0.0737714
+0.071868
+0.0699814
+0.068113
+0.0662636
+0.0644264
+0.0626113
+0.0608175
+0.0590381
+0.0572872
+0.0555675
+0.0538806
+0.0522085
+0.0505759
+0.048987
+0.047446
+0.0459463
+0.0445004
+0.043111
+0.0417903
+0.0405367
+0.0393426
+0.0382056
+0.0371562
+0.0361744
+0.0352916
+0.0344806
+0.0337796
+0.0332086
+0.0327139
+0.0323391
+0.0321075
+0.031998
+0.0320373
+0.0321792
+0.0324517
+0.0328465
+0.0333807
+0.0340017
+0.0347416
+0.0355822
+0.0365028
+0.0374688
+0.0384206
+0.0394516
+0.0405748
+0.0417827
+0.0430683
+0.0444247
+0.0458457
+0.0473198
+0.0488388
+0.0504072
+0.0519461
+0.0535293
+0.0551528
+0.0568109
+0.0585041
+0.0602294
+0.0619841
+0.0637657
+0.0655693
+0.0673888
+0.0692298
+0.0710906
+0.0729698
+0.0748658
+0.0767524
+0.0786494
+0.0805445
+0.0824542
+0.0843776
+0.0863137
+0.0882618
+0.0902209
+0.0921792
+0.0941244
+0.0960802
+0.0980459
+0.100015
+0.101642
+0.102248
+0.102847
+0.102875
+0.101989
+0.10037
+0.0987729
+0.0971992
+0.0956499
+0.0941259
+0.0926288
+0.0911225
+0.0891285
+0.087144
+0.0851696
+0.083206
+0.081254
+0.0793138
+0.0773774
+0.0754416
+0.0735161
+0.071606
+0.0697123
+0.0678364
+0.0659801
+0.0641444
+0.0623071
+0.0604921
+0.0587029
+0.0569417
+0.0551961
+0.0534824
+0.0518046
+0.0501658
+0.0485634
+0.0470072
+0.0454924
+0.0440336
+0.0426291
+0.0412852
+0.0399772
+0.038735
+0.0375796
+0.0365166
+0.0355201
+0.0346205
+0.0337865
+0.0330744
+0.0324768
+0.0319733
+0.0315911
+0.0313416
+0.0312284
+0.0312687
+0.0314159
+0.0316931
+0.0320984
+0.0326111
+0.0332377
+0.0339942
+0.034864
+0.0357565
+0.0366261
+0.0376034
+0.0386802
+0.0398289
+0.0410588
+0.0423663
+0.0437445
+0.0451869
+0.0466828
+0.0481632
+0.0496738
+0.0512308
+0.0528304
+0.0544711
+0.0561493
+0.0578619
+0.0596057
+0.0613782
+0.0631738
+0.0649919
+0.0668272
+0.0686832
+0.0705575
+0.0724263
+0.0743065
+0.0761964
+0.0780896
+0.0799979
+0.0819204
+0.083856
+0.0858039
+0.0877633
+0.0897061
+0.0916515
+0.0936076
+0.0955616
+0.0975171
+0.0994789
+0.101035
+0.101644
+0.102211
+0.10215
+0.101384
+0.10066
+0.0995397
+0.0979784
+0.0964415
+0.0949303
+0.0929845
+0.0909789
+0.0889817
+0.0869871
+0.0849997
+0.0830225
+0.0810563
+0.0791018
+0.0771601
+0.0752246
+0.0732978
+0.0713863
+0.0694905
+0.0676057
+0.0657397
+0.0638943
+0.0620662
+0.0602293
+0.0584169
+0.0566311
+0.0548748
+0.0531507
+0.0514621
+0.0498127
+0.0482063
+0.0466476
+0.0451219
+0.043628
+0.0421864
+0.0408116
+0.039501
+0.0382434
+0.0370726
+0.0359766
+0.0349647
+0.0340505
+0.0332022
+0.0324773
+0.0318684
+0.0313551
+0.0309653
+0.0307122
+0.0305967
+0.0306074
+0.0307161
+0.0309796
+0.0313942
+0.0319514
+0.0325908
+0.0333619
+0.0341868
+0.0350098
+0.0358976
+0.0368942
+0.0379911
+0.0391795
+0.0404292
+0.0417564
+0.0431541
+0.044598
+0.0460171
+0.0474905
+0.0490163
+0.0505911
+0.0522103
+0.0538699
+0.0555663
+0.0572921
+0.0590477
+0.0608317
+0.0626414
+0.0644747
+0.066328
+0.0681757
+0.0700349
+0.0719108
+0.073792
+0.0756819
+0.0775876
+0.079508
+0.081442
+0.0833834
+0.0853344
+0.087273
+0.0892176
+0.0911538
+0.0930988
+0.0950544
+0.0970118
+0.0989636
+0.100472
+0.101085
+0.101618
+0.101467
+0.100696
+0.0999672
+0.0992812
+0.0986392
+0.0969312
+0.0948999
+0.0928752
+0.0908581
+0.0888492
+0.0868492
+0.0848585
+0.0828779
+0.0809082
+0.0789502
+0.0770046
+0.0750648
+0.0731338
+0.0712178
+0.0693177
+0.0674282
+0.0655571
+0.0637064
+0.0618582
+0.060015
+0.0581959
+0.0564032
+0.0546395
+0.0529077
+0.0512111
+0.0495533
+0.0479383
+0.0463603
+0.0448013
+0.043288
+0.0418348
+0.040448
+0.0391348
+0.0378723
+0.0366776
+0.0355636
+0.0345396
+0.0336138
+0.0327542
+0.0320192
+0.0314014
+0.030864
+0.0304359
+0.0301614
+0.0300247
+0.0300055
+0.0301333
+0.0304006
+0.0308216
+0.0313675
+0.0320111
+0.0327676
+0.0335865
+0.0343845
+0.035288
+0.0363013
+0.0374156
+0.0386143
+0.0398883
+0.0412393
+0.0425983
+0.0439729
+0.0454109
+0.0469021
+0.0484465
+0.0500392
+0.0516702
+0.0533411
+0.0550485
+0.056789
+0.0585597
+0.0603581
+0.0621816
+0.0640086
+0.0658431
+0.0676987
+0.0695706
+0.071441
+0.073326
+0.0752198
+0.0771284
+0.0790516
+0.0809884
+0.0829379
+0.0848789
+0.0867986
+0.0887308
+0.0906748
+0.0926298
+0.0945784
+0.0965273
+0.0984863
+0.0999542
+0.100565
+0.101069
+0.100827
+0.100051
+0.0993175
+0.098627
+0.0979806
+0.0968577
+0.0948242
+0.0927977
+0.0907789
+0.0887683
+0.0867664
+0.0847738
+0.0827912
+0.0808193
+0.0788591
+0.0769112
+0.0749633
+0.0730289
+0.0711095
+0.0692062
+0.0673201
+0.0654474
+0.0635935
+0.0617273
+0.0598801
+0.0580567
+0.0562596
+0.0544913
+0.0527547
+0.051053
+0.0493898
+0.0477596
+0.0461447
+0.0445781
+0.043057
+0.0415957
+0.0402006
+0.0388527
+0.0375703
+0.0363578
+0.03524
+0.0342006
+0.0332654
+0.0323932
+0.0316342
+0.0309855
+0.0304262
+0.0299951
+0.0297164
+0.0295653
+0.0295458
+0.0296589
+0.0299271
+0.0303244
+0.0308303
+0.0314629
+0.0322322
+0.0330273
+0.0338473
+0.0347647
+0.0357929
+0.0369225
+0.0381367
+0.0394261
+0.0407342
+0.0420556
+0.0434474
+0.0449017
+0.0464029
+0.0479572
+0.0495597
+0.0512057
+0.0528912
+0.0546126
+0.0563666
+0.0581502
+0.0599523
+0.0617518
+0.0635758
+0.0654224
+0.0672785
+0.0691287
+0.0709983
+0.0728858
+0.0747898
+0.0767091
+0.0786426
+0.0805892
+0.0825044
+0.0844212
+0.086351
+0.088293
+0.0902446
+0.0921809
+0.0941284
+0.0960864
+0.0980542
+0.0994819
+0.100059
+0.100565
+0.100231
+0.0994502
+0.0987121
+0.0980174
+0.097367
+0.0967618
+0.094799
+0.092772
+0.0907526
+0.0887414
+0.0867388
+0.0847456
+0.0827623
+0.0807898
+0.0788288
+0.0768676
+0.0749185
+0.072983
+0.0710623
+0.0691577
+0.0672705
+0.0654021
+0.0635391
+0.0616741
+0.0598252
+0.0580001
+0.0562011
+0.0544309
+0.0526923
+0.0509854
+0.0493003
+0.0476511
+0.0460324
+0.0444619
+0.0429366
+0.0414706
+0.0400355
+0.0386713
+0.0373829
+0.0361642
+0.0350402
+0.0339944
+0.0330394
+0.0321465
+0.0313815
+0.0306975
+0.0301329
+0.0296973
+0.0294
+0.0292016
+0.02915
+0.0292565
+0.0295
+0.0299024
+0.0304188
+0.0310598
+0.0317529
+0.0325507
+0.0334452
+0.0343734
+0.0354129
+0.0365543
+0.0377803
+0.0390274
+0.0402857
+0.0416213
+0.0430174
+0.0444744
+0.0459895
+0.0475573
+0.0491728
+0.0508313
+0.0525289
+0.0542618
+0.0560268
+0.0577862
+0.0595706
+0.0613813
+0.0632102
+0.0650285
+0.0668692
+0.0687304
+0.0706106
+0.0725081
+0.0744218
+0.0763503
+0.0782652
+0.0801792
+0.0820918
+0.0840181
+0.085957
+0.0878926
+0.0898263
+0.0917714
+0.0937274
+0.0956936
+0.0976693
+0.0990557
+0.0995978
+0.100098
+0.0996661
+0.0988904
+0.0981519
+0.0974532
+0.096799
+0.0961902
+0.0948244
+0.092798
+0.0907792
+0.0887685
+0.0867666
+0.084774
+0.0827914
+0.0808196
+0.0788478
+0.0768864
+0.0749377
+0.0730027
+0.0710826
+0.0691684
+0.0672671
+0.0653838
+0.0635204
+0.0616784
+0.0598406
+0.0580158
+0.0562171
+0.0544397
+0.0526829
+0.0509598
+0.0492738
+0.047629
+0.0460183
+0.0444395
+0.0429139
+0.0414167
+0.0399797
+0.0386135
+0.0373234
+0.0361027
+0.034968
+0.0339103
+0.0329435
+0.0320481
+0.0312726
+0.0305642
+0.0299506
+0.0294778
+0.0291623
+0.0289534
+0.0289012
+0.028985
+0.0292307
+0.0296368
+0.0301075
+0.0306945
+0.0313877
+0.0321945
+0.0331269
+0.0341074
+0.0351547
+0.0363043
+0.0374973
+0.0386814
+0.0399469
+0.0412799
+0.0426837
+0.0441517
+0.0456776
+0.0472557
+0.0488807
+0.0505466
+0.0522507
+0.053974
+0.0557082
+0.0574736
+0.0592674
+0.0610461
+0.0628508
+0.0646792
+0.0665296
+0.0684
+0.070289
+0.072195
+0.0740871
+0.0759939
+0.0779078
+0.0798148
+0.081736
+0.0836618
+0.085584
+0.0875179
+0.0894597
+0.0914126
+0.0933761
+0.0953495
+0.0973322
+0.0986764
+0.0991751
+0.0996765
+0.099141
+0.0983612
+0.0976243
+0.0969313
+0.0962775
+0.0956654
+0.0949004
+0.0928756
+0.0908585
+0.0888497
+0.0868496
+0.084859
+0.0828785
+0.0808982
+0.0789269
+0.0769675
+0.0750153
+0.0730691
+0.0711371
+0.0692205
+0.0673206
+0.065439
+0.0635771
+0.0617368
+0.0599201
+0.0581019
+0.056289
+0.0545038
+0.0527492
+0.0510283
+0.0493447
+0.047681
+0.0460545
+0.0444764
+0.042952
+0.0414786
+0.0400438
+0.0386799
+0.0373923
+0.0361708
+0.0350148
+0.0339237
+0.0328961
+0.0319858
+0.0311861
+0.0304666
+0.0298502
+0.0293758
+0.0290592
+0.0288496
+0.0287956
+0.0288775
+0.029106
+0.0294196
+0.0298836
+0.030475
+0.0311725
+0.0319848
+0.0329205
+0.033946
+0.0350162
+0.0361109
+0.0372182
+0.0384109
+0.0396887
+0.0410434
+0.0424523
+0.0439247
+0.0454551
+0.0470377
+0.0486675
+0.0503317
+0.0520207
+0.0537286
+0.0554705
+0.0572062
+0.0589655
+0.060753
+0.062566
+0.0644026
+0.0662607
+0.0681385
+0.0700024
+0.0718841
+0.0737828
+0.0756863
+0.0775886
+0.0795058
+0.0814092
+0.0833258
+0.0852555
+0.0871967
+0.0891454
+0.0911051
+0.0930751
+0.0950547
+0.0970435
+0.0983406
+0.0987978
+0.0993012
+0.0986617
+0.0978781
+0.0971375
+0.0964411
+0.0957897
+0.0951806
+0.0946181
+0.0930048
+0.0909906
+0.0889848
+0.086986
+0.0849913
+0.0830064
+0.0810322
+0.0790525
+0.0770837
+0.0751272
+0.073184
+0.0712551
+0.0693418
+0.0674454
+0.0655673
+0.0637091
+0.0618728
+0.0600602
+0.0582445
+0.0564362
+0.0546558
+0.0529062
+0.0511868
+0.0494815
+0.0478159
+0.046194
+0.0446209
+0.0431016
+0.0416385
+0.0402093
+0.0388513
+0.0375508
+0.0362846
+0.0350798
+0.0339734
+0.0329507
+0.0320419
+0.0312464
+0.0305003
+0.0298759
+0.0294019
+0.0290694
+0.0288444
+0.0287482
+0.0287981
+0.0290137
+0.0293544
+0.0298193
+0.0304119
+0.0310944
+0.0319075
+0.0328348
+0.0337849
+0.0348307
+0.0359396
+0.0370666
+0.038264
+0.0395466
+0.040906
+0.0423195
+0.0437964
+0.0453311
+0.0469116
+0.0485253
+0.0501706
+0.0518469
+0.0535314
+0.0552417
+0.0569775
+0.0587437
+0.0605377
+0.062357
+0.0641984
+0.0660286
+0.067879
+0.0697492
+0.0716328
+0.0735094
+0.0754029
+0.0773122
+0.0792138
+0.081123
+0.0830462
+0.0849823
+0.0869294
+0.088884
+0.0908493
+0.0928248
+0.094805
+0.0967838
+0.0979209
+0.0984678
+0.0989728
+0.0982289
+0.0974418
+0.096698
+0.0959983
+0.0953439
+0.0947319
+0.0941668
+0.0931737
+0.0911565
+0.0891474
+0.087147
+0.0851561
+0.0831751
+0.0811955
+0.0792194
+0.0772548
+0.0753028
+0.0733642
+0.0714402
+0.069532
+0.0676408
+0.0657683
+0.0639161
+0.0620858
+0.0602796
+0.0584689
+0.0566677
+0.0548949
+0.0531396
+0.0514058
+0.0497081
+0.0480503
+0.0464367
+0.044872
+0.0433616
+0.0419074
+0.0404694
+0.0390463
+0.0376805
+0.0363898
+0.0351883
+0.0340776
+0.0330542
+0.0321224
+0.0313134
+0.0305859
+0.0299633
+0.0294838
+0.0291366
+0.0289121
+0.0288161
+0.0288658
+0.029081
+0.029447
+0.0298868
+0.030478
+0.0311564
+0.0319465
+0.0327904
+0.0337221
+0.0347542
+0.0358389
+0.0370216
+0.0382423
+0.0395257
+0.0408792
+0.0422928
+0.0437676
+0.045287
+0.0468483
+0.0484415
+0.0500482
+0.051693
+0.053377
+0.055092
+0.0568324
+0.058603
+0.0603937
+0.062183
+0.0639972
+0.065833
+0.0676859
+0.069536
+0.0714005
+0.0732831
+0.0751823
+0.0770803
+0.0789804
+0.0808951
+0.0828236
+0.0847648
+0.0867156
+0.0886652
+0.0906226
+0.0925869
+0.0945612
+0.0965447
+0.0975134
+0.0981856
+0.0986921
+0.0978433
+0.0970531
+0.0963062
+0.0956037
+0.0949466
+0.094332
+0.0937645
+0.093245
+0.0913627
+0.0893582
+0.0873627
+0.0853768
+0.0833985
+0.0814169
+0.0794463
+0.0774875
+0.0755415
+0.0736092
+0.0716917
+0.0697904
+0.0679065
+0.0660415
+0.0641971
+0.0623751
+0.060547
+0.0587436
+0.0569674
+0.0551974
+0.0534405
+0.0517168
+0.0500296
+0.0483829
+0.0467807
+0.0452279
+0.0436744
+0.0421558
+0.040682
+0.0392647
+0.0379083
+0.0366256
+0.0354247
+0.0343018
+0.0332608
+0.032332
+0.0315284
+0.0308059
+0.0301879
+0.029712
+0.0293674
+0.0291447
+0.0290495
+0.0290893
+0.0292394
+0.0295369
+0.0299754
+0.0305118
+0.0311559
+0.031934
+0.032814
+0.033749
+0.0347538
+0.0358645
+0.0370009
+0.0382162
+0.0395113
+0.0408829
+0.0423103
+0.0437851
+0.0453106
+0.046819
+0.0483753
+0.0499791
+0.0516261
+0.0533122
+0.0550292
+0.056757
+0.0584934
+0.0602595
+0.0620526
+0.0638634
+0.0656761
+0.0675111
+0.0693659
+0.0712349
+0.0731218
+0.0750142
+0.0769029
+0.0788072
+0.080726
+0.0826426
+0.0845726
+0.086515
+0.0884622
+0.0904204
+0.092389
+0.0943673
+0.0963249
+0.0971537
+0.0979494
+0.0984571
+0.0974996
+0.0967066
+0.095957
+0.0952519
+0.0945923
+0.0939792
+0.0934119
+0.0928904
+0.0916208
+0.0896222
+0.0876327
+0.085653
+0.0836704
+0.0816954
+0.0797317
+0.0777801
+0.0758416
+0.0739172
+0.072008
+0.0701153
+0.0682403
+0.0663848
+0.0645352
+0.0626935
+0.0608748
+0.0590815
+0.0573132
+0.0555474
+0.0538128
+0.0520943
+0.0504064
+0.0487586
+0.0471373
+0.0455423
+0.0439799
+0.0424572
+0.0409888
+0.0395721
+0.038213
+0.0369184
+0.0357086
+0.0345844
+0.0335592
+0.0326392
+0.0318189
+0.0310936
+0.0304882
+0.0299929
+0.0296517
+0.0294037
+0.0292891
+0.0292479
+0.0293656
+0.0296451
+0.0300775
+0.0305975
+0.0312398
+0.0320194
+0.0329119
+0.0338423
+0.0348458
+0.0359326
+0.0370622
+0.0382756
+0.0395688
+0.0409384
+0.0423522
+0.0438079
+0.0453209
+0.0468477
+0.0484031
+0.050006
+0.0516521
+0.0533226
+0.054993
+0.0566988
+0.058437
+0.0601971
+0.0619622
+0.0637536
+0.0655692
+0.0674072
+0.0692648
+0.0711264
+0.0729899
+0.0748711
+0.0767687
+0.0786638
+0.0805699
+0.0824902
+0.0844203
+0.0863589
+0.0883094
+0.0902709
+0.0922426
+0.0942241
+0.0960107
+0.0968422
+0.0977157
+0.0982632
+0.0972036
+0.0964081
+0.0956562
+0.0949488
+0.0942871
+0.093672
+0.0931043
+0.0925851
+0.0919305
+0.0899387
+0.0879536
+0.0859654
+0.0839873
+0.08202
+0.0800642
+0.078121
+0.0761911
+0.0742758
+0.072376
+0.0704932
+0.0686286
+0.0667691
+0.0649169
+0.0630863
+0.0612793
+0.0594772
+0.0576944
+0.0559187
+0.0541728
+0.0524604
+0.0507847
+0.0491121
+0.0474651
+0.0458637
+0.0443056
+0.0427884
+0.0413317
+0.0399135
+0.0385664
+0.037284
+0.0360866
+0.034964
+0.0339409
+0.0330317
+0.0322278
+0.0314606
+0.0308256
+0.0303359
+0.0299438
+0.02967
+0.0295172
+0.0294714
+0.0295882
+0.0298499
+0.0302532
+0.0308073
+0.0314423
+0.0321962
+0.0330704
+0.034052
+0.035044
+0.0360611
+0.0371789
+0.0383892
+0.0396837
+0.0410438
+0.0424313
+0.0438844
+0.0453949
+0.0469551
+0.048515
+0.0501144
+0.0517201
+0.0533508
+0.0550203
+0.0567172
+0.0584231
+0.0601604
+0.0619264
+0.0637189
+0.0655355
+0.0673629
+0.0691957
+0.071043
+0.0729086
+0.0747919
+0.0766696
+0.078562
+0.0804695
+0.0823886
+0.0843171
+0.086258
+0.0882107
+0.0901743
+0.0921482
+0.0941316
+0.0957456
+0.0965793
+0.0974552
+0.0981177
+0.0969561
+0.0961585
+0.0954047
+0.0946955
+0.094032
+0.0934152
+0.0928459
+0.0923252
+0.0918538
+0.0902992
+0.0883095
+0.0863295
+0.0843599
+0.0824014
+0.080455
+0.0785214
+0.0766017
+0.0746968
+0.0728071
+0.0709299
+0.0690698
+0.0672096
+0.0653698
+0.0635417
+0.0617169
+0.0598997
+0.0581083
+0.0563451
+0.0546129
+0.0528857
+0.0511754
+0.0495002
+0.0478666
+0.0462791
+0.0447304
+0.0432282
+0.0417749
+0.0403706
+0.0390315
+0.0377709
+0.0365774
+0.0354657
+0.0344449
+0.0335213
+0.0326988
+0.0319384
+0.0313131
+0.0307575
+0.0303025
+0.0300002
+0.0298234
+0.0297781
+0.0298936
+0.0301527
+0.030552
+0.0310991
+0.0317301
+0.0324771
+0.033344
+0.0342951
+0.0352618
+0.0362806
+0.0374001
+0.0385888
+0.0398611
+0.0412093
+0.0426069
+0.0440467
+0.0455349
+0.047051
+0.0486185
+0.050195
+0.0517952
+0.0534374
+0.0550814
+0.0567519
+0.0584567
+0.060193
+0.0619582
+0.0637474
+0.0655349
+0.0673462
+0.0691795
+0.0710272
+0.0728687
+0.0747288
+0.0766065
+0.0785004
+0.0804092
+0.0823266
+0.0842566
+0.0861991
+0.0881532
+0.0901182
+0.0920933
+0.094078
+0.0955071
+0.096361
+0.0972388
+0.098021
+0.0967543
+0.0959584
+0.0952029
+0.0944922
+0.0938273
+0.0932091
+0.0926386
+0.0921167
+0.0916442
+0.0906988
+0.088718
+0.0867473
+0.0847874
+0.0828391
+0.0809032
+0.0789806
+0.0770699
+0.0751715
+0.0732894
+0.0714249
+0.0695647
+0.0677167
+0.0658577
+0.0640081
+0.0621807
+0.0603775
+0.0585914
+0.0568103
+0.0550587
+0.0533386
+0.0516411
+0.0499814
+0.048364
+0.0467889
+0.0452575
+0.0437714
+0.0423124
+0.0409186
+0.0395971
+0.0383466
+0.0371762
+0.0360591
+0.0350411
+0.0341336
+0.0332985
+0.0325183
+0.0317989
+0.0312056
+0.0307565
+0.0304313
+0.0302588
+0.0302142
+0.0303281
+0.0305988
+0.0310031
+0.0315271
+0.0321508
+0.0329018
+0.033741
+0.0346344
+0.03558
+0.0365643
+0.0376505
+0.0388301
+0.0400947
+0.0414116
+0.0427794
+0.0442136
+0.0456765
+0.047188
+0.048737
+0.0503104
+0.0519285
+0.0535691
+0.0551985
+0.0568655
+0.0585671
+0.0603002
+0.062045
+0.063805
+0.0655909
+0.0674007
+0.0692058
+0.0710268
+0.0728681
+0.0747283
+0.076606
+0.0784999
+0.080406
+0.0823227
+0.0842528
+0.0861954
+0.0881496
+0.0901146
+0.0916364
+0.0930531
+0.0944806
+0.0959369
+0.0970664
+0.0979732
+0.0965827
+0.0957917
+0.0950447
+0.0943372
+0.0936734
+0.0930542
+0.0924828
+0.09196
+0.0914867
+0.0910636
+0.0891785
+0.0872182
+0.0852692
+0.0833321
+0.0814043
+0.0794887
+0.0775876
+0.0757022
+0.0738336
+0.0719716
+0.0700963
+0.0682209
+0.0663649
+0.0645299
+0.0626949
+0.0608762
+0.0590827
+0.0573169
+0.0555813
+0.0538746
+0.05219
+0.0505435
+0.0489397
+0.0473828
+0.0458638
+0.0443784
+0.042942
+0.0415616
+0.040253
+0.0390148
+0.0378475
+0.0367507
+0.0357525
+0.0348026
+0.0338936
+0.033091
+0.0323734
+0.0317908
+0.0313307
+0.0310092
+0.03084
+0.0307962
+0.0309079
+0.0311736
+0.0315894
+0.0320991
+0.0326992
+0.033417
+0.0341817
+0.0350611
+0.0359741
+0.0369479
+0.038023
+0.0391888
+0.0404173
+0.0417042
+0.0430507
+0.0444566
+0.0459223
+0.0474121
+0.0489301
+0.0504974
+0.0521097
+0.053763
+0.055402
+0.0570631
+0.0587565
+0.0604535
+0.0621814
+0.0639376
+0.0657041
+0.0674774
+0.0692745
+0.0710937
+0.0729334
+0.074792
+0.0766681
+0.0785602
+0.0804617
+0.0823771
+0.084306
+0.0862473
+0.0877089
+0.0891229
+0.0905679
+0.0920423
+0.0934866
+0.0949582
+0.096457
+0.0978632
+0.0964605
+0.0956685
+0.0949206
+0.0942176
+0.0935579
+0.0929406
+0.0923713
+0.0918506
+0.0913796
+0.0909578
+0.0896902
+0.0877413
+0.0857995
+0.0838698
+0.0819532
+0.0800507
+0.0781633
+0.0762775
+0.0743979
+0.0725074
+0.070617
+0.0687444
+0.0668911
+0.065057
+0.0632303
+0.0614274
+0.0596505
+0.057902
+0.0561772
+0.0544794
+0.0528141
+0.0511876
+0.0496046
+0.048052
+0.0465333
+0.04507
+0.0436558
+0.0422987
+0.0410052
+0.0397758
+0.0386315
+0.0375576
+0.0364877
+0.0354799
+0.0345616
+0.0337607
+0.0330627
+0.0324925
+0.0320385
+0.0317242
+0.0315592
+0.0315167
+0.0316034
+0.0318342
+0.0322126
+0.0327006
+0.0332806
+0.0339862
+0.0347432
+0.0355879
+0.036459
+0.0374204
+0.0384826
+0.0396267
+0.0408209
+0.0420755
+0.0434024
+0.0447973
+0.046235
+0.0476954
+0.0492061
+0.0507665
+0.052372
+0.0540186
+0.0556911
+0.0573252
+0.058982
+0.0606727
+0.0623908
+0.064106
+0.0658494
+0.0676189
+0.0694124
+0.0712281
+0.0730643
+0.0749196
+0.0767926
+0.0786787
+0.0805769
+0.0824897
+0.0838835
+0.0852484
+0.0866473
+0.0880784
+0.0895402
+0.0910313
+0.0925315
+0.094018
+0.0955316
+0.0970711
+0.096388
+0.0955954
+0.0948469
+0.0941433
+0.0934858
+0.092875
+0.0923056
+0.0917846
+0.0913132
+0.0908921
+0.0902465
+0.0883052
+0.086376
+0.0844594
+0.0825559
+0.0806441
+0.0787468
+0.0768392
+0.07493
+0.0730365
+0.0711602
+0.0693022
+0.0674643
+0.0656462
+0.0638364
+0.0620493
+0.0602851
+0.0585497
+0.0568405
+0.0551632
+0.0535206
+0.0519019
+0.0503248
+0.0487898
+0.0472949
+0.0458558
+0.0444604
+0.043125
+0.0418432
+0.0406392
+0.0394741
+0.0383004
+0.0372186
+0.0362169
+0.0353179
+0.0345345
+0.0338575
+0.0332731
+0.0328247
+0.032518
+0.0323286
+0.0322801
+0.0323581
+0.0325722
+0.0328857
+0.0333383
+0.0338973
+0.0345737
+0.0353574
+0.036143
+0.0370043
+0.0379518
+0.0389996
+0.0401264
+0.0412972
+0.0425453
+0.0438504
+0.0452109
+0.0466242
+0.0480731
+0.0495724
+0.0511215
+0.0527162
+0.0543524
+0.0559682
+0.0576124
+0.0592876
+0.0609422
+0.0626205
+0.0643296
+0.0660671
+0.0678309
+0.0696189
+0.0714293
+0.0732606
+0.075111
+0.0769788
+0.0788574
+0.080175
+0.0814843
+0.0828308
+0.0842128
+0.0856286
+0.0870764
+0.0885548
+0.0900622
+0.0915923
+0.0931199
+0.0946479
+0.0962015
+0.0963652
+0.0955725
+0.0948237
+0.09412
+0.0934624
+0.0928518
+0.0922891
+0.0917708
+0.0912993
+0.0908782
+0.0905082
+0.0889195
+0.0869823
+0.0850515
+0.0831337
+0.0812297
+0.079311
+0.0774007
+0.0755057
+0.073627
+0.0717661
+0.0699243
+0.0681031
+0.066297
+0.0645001
+0.0627275
+0.0609762
+0.059254
+0.0575636
+0.0559079
+0.0542738
+0.0526766
+0.0511233
+0.0496135
+0.0481441
+0.0467134
+0.0453384
+0.0440121
+0.0427569
+0.0414916
+0.0402575
+0.0391073
+0.0380446
+0.0370627
+0.0361869
+0.0354122
+0.0347408
+0.0341715
+0.0337308
+0.0333769
+0.0331642
+0.0330954
+0.0331697
+0.0333421
+0.0336485
+0.0340774
+0.034619
+0.0352816
+0.0360241
+0.0367955
+0.0376689
+0.0386005
+0.039629
+0.0407074
+0.0418695
+0.0430932
+0.0443688
+0.0457139
+0.047102
+0.0485309
+0.050015
+0.0515494
+0.0531299
+0.0547254
+0.056326
+0.0579602
+0.0596081
+0.0612473
+0.0629201
+0.0646239
+0.066356
+0.0681127
+0.0698935
+0.071697
+0.0735216
+0.0753656
+0.0765814
+0.0778345
+0.0791285
+0.0804599
+0.0818233
+0.083222
+0.0846543
+0.0861186
+0.0876131
+0.0891364
+0.0906821
+0.0922526
+0.093807
+0.0953742
+0.0963922
+0.0955997
+0.0948512
+0.0941477
+0.0934902
+0.0928798
+0.0923174
+0.0918037
+0.091338
+0.0909171
+0.0905472
+0.0895033
+0.0875733
+0.0856559
+0.0837387
+0.0818228
+0.0799152
+0.0780197
+0.0761401
+0.0742775
+0.0724332
+0.0706088
+0.0688058
+0.0670013
+0.0652175
+0.0634591
+0.0617284
+0.0600278
+0.0583598
+0.0567157
+0.0551022
+0.0535297
+0.0520019
+0.0505109
+0.0490586
+0.0476506
+0.0462868
+0.044974
+0.0436291
+0.0423511
+0.0411428
+0.0400114
+0.0389559
+0.0379976
+0.0371439
+0.0363898
+0.0357011
+0.0351227
+0.0346487
+0.0343042
+0.0340955
+0.0340013
+0.0340482
+0.0342161
+0.0345147
+0.0349226
+0.0354604
+0.0361087
+0.0368086
+0.0375646
+0.0384215
+0.0393326
+0.0403209
+0.0413805
+0.0425253
+0.0437272
+0.0449642
+0.0462719
+0.0476285
+0.0490421
+0.0505111
+0.0520309
+0.0535972
+0.0551645
+0.0567596
+0.0583881
+0.0599931
+0.0616221
+0.063285
+0.0649792
+0.0667023
+0.0684522
+0.0702268
+0.0719974
+0.0731323
+0.0743145
+0.0755417
+0.0768118
+0.0781227
+0.0794724
+0.0808589
+0.0822749
+0.0837234
+0.0852036
+0.0867139
+0.0882528
+0.0898162
+0.0914016
+0.0930101
+0.0945906
+0.096469
+0.0956771
+0.0949292
+0.0942263
+0.0935694
+0.0929595
+0.0923975
+0.0918844
+0.0914208
+0.0910076
+0.0906392
+0.0901311
+0.0881976
+0.0862762
+0.084368
+0.0824666
+0.0805744
+0.0786948
+0.0768317
+0.0749863
+0.0731599
+0.0713541
+0.0695452
+0.0677575
+0.0659941
+0.064257
+0.0625483
+0.0608706
+0.0592191
+0.0575923
+0.0560041
+0.0544571
+0.0529424
+0.0514753
+0.0500478
+0.0486526
+0.0472355
+0.0458524
+0.0445341
+0.0432867
+0.0421144
+0.0409961
+0.0399667
+0.0390332
+0.0381732
+0.0373814
+0.0366989
+0.0361215
+0.0356569
+0.0353152
+0.0350878
+0.0349963
+0.0350417
+0.035205
+0.0354859
+0.0358818
+0.0364055
+0.0370187
+0.0376811
+0.0384183
+0.0392094
+0.0400878
+0.0410582
+0.0421203
+0.0432587
+0.0444008
+0.0456195
+0.0469089
+0.0482488
+0.0496447
+0.0510964
+0.0525993
+0.05412
+0.0556805
+0.0572545
+0.0588634
+0.0604552
+0.062072
+0.0637232
+0.065406
+0.0671182
+0.0688073
+0.0698567
+0.0709582
+0.0721095
+0.0733081
+0.0745519
+0.0758386
+0.077166
+0.0785321
+0.079935
+0.081367
+0.0828314
+0.0843273
+0.0858531
+0.0874071
+0.0889879
+0.0905941
+0.0922195
+0.0938515
+0.0965867
+0.0958046
+0.0950577
+0.0943557
+0.0936997
+0.0930907
+0.0925295
+0.0920171
+0.0915542
+0.0911417
+0.0907801
+0.0904656
+0.0888492
+0.0869423
+0.085049
+0.0831601
+0.081282
+0.0794199
+0.0775749
+0.0757484
+0.0739401
+0.0721324
+0.0703422
+0.0685753
+0.0668335
+0.0651187
+0.0634333
+0.0617764
+0.060139
+0.0585379
+0.0569738
+0.0554404
+0.0539483
+0.0524819
+0.0510053
+0.0495815
+0.0481724
+0.046817
+0.0455267
+0.0443071
+0.0431624
+0.042072
+0.0410464
+0.0400897
+0.039232
+0.0384604
+0.0377839
+0.0372111
+0.0367405
+0.0363903
+0.0361697
+0.0360809
+0.036125
+0.036299
+0.0365618
+0.0369445
+0.0374039
+0.0379646
+0.0386195
+0.0393056
+0.0400792
+0.0409389
+0.0418896
+0.0429312
+0.044023
+0.0451474
+0.0463481
+0.0476194
+0.0489483
+0.050335
+0.0517679
+0.0532211
+0.0547196
+0.0562517
+0.0578055
+0.0593921
+0.0609734
+0.0625913
+0.0642331
+0.0658107
+0.0667696
+0.0677857
+0.0688548
+0.0699722
+0.0711394
+0.0723541
+0.0736141
+0.0749168
+0.0762603
+0.0776424
+0.079061
+0.0805086
+0.0819883
+0.0834993
+0.0850399
+0.0866085
+0.0882036
+0.0898238
+0.0914678
+0.0931334
+0.0967434
+0.0959731
+0.0952364
+0.0945357
+0.093881
+0.0932731
+0.0927131
+0.0922017
+0.0917397
+0.091328
+0.0909672
+0.0906578
+0.0895498
+0.0876581
+0.0857734
+0.0838966
+0.0820354
+0.0801907
+0.078364
+0.0765557
+0.0747556
+0.072967
+0.0711978
+0.0694526
+0.0677333
+0.066042
+0.0643808
+0.0627353
+0.0611237
+0.0595446
+0.0579926
+0.0564703
+0.0549322
+0.0534335
+0.051984
+0.050571
+0.0491891
+0.0478625
+0.0466011
+0.0453884
+0.0442359
+0.0431489
+0.0421344
+0.041203
+0.0403678
+0.0395906
+0.0389212
+0.0383589
+0.0378972
+0.0375578
+0.0373441
+0.0372581
+0.0372949
+0.0374411
+0.0376846
+0.0380173
+0.0384638
+0.0389981
+0.0396294
+0.0402926
+0.0410476
+0.0418874
+0.0428171
+0.0437948
+0.0448527
+0.0459701
+0.0471499
+0.0484001
+0.0497154
+0.0510854
+0.0524814
+0.0539117
+0.0553745
+0.056884
+0.0584332
+0.0599725
+0.0615389
+0.0630042
+0.0638681
+0.0647946
+0.0657796
+0.0668108
+0.0678971
+0.0690358
+0.0702237
+0.0714546
+0.0727301
+0.0740484
+0.0754074
+0.0768048
+0.0782386
+0.0797011
+0.0811956
+0.0827211
+0.0842759
+0.0858584
+0.0874672
+0.0891008
+0.0907579
+0.092437
+0.0969493
+0.0961807
+0.0954562
+0.0947661
+0.0941129
+0.0935066
+0.0929479
+0.0924378
+0.0919771
+0.0915664
+0.0912066
+0.0908981
+0.090298
+0.0884181
+0.0865432
+0.0846834
+0.0828399
+0.0810136
+0.0792058
+0.0774057
+0.0756259
+0.0738571
+0.0721097
+0.0703872
+0.0686913
+0.0670241
+0.0653754
+0.0637552
+0.0621599
+0.060584
+0.0590047
+0.0574452
+0.055928
+0.0544567
+0.0530302
+0.0516219
+0.0502555
+0.0489491
+0.0477014
+0.0465023
+0.0453638
+0.044293
+0.0432972
+0.0423914
+0.041548
+0.0407933
+0.0401441
+0.0395897
+0.0391425
+0.038814
+0.0386072
+0.0385071
+0.0385243
+0.0386466
+0.0388635
+0.0391833
+0.0395683
+0.0400478
+0.04064
+0.0413257
+0.0420966
+0.0429058
+0.0437715
+0.0447278
+0.0457625
+0.0468632
+0.0480337
+0.0492576
+0.0505421
+0.0518707
+0.0532442
+0.054651
+0.0560945
+0.0575837
+0.0590982
+0.0604612
+0.061205
+0.0620166
+0.062894
+0.0638347
+0.0648357
+0.0658928
+0.0669939
+0.0681477
+0.0693516
+0.0706028
+0.0718991
+0.0732353
+0.074609
+0.0760211
+0.0774694
+0.0789462
+0.0804547
+0.081994
+0.0835623
+0.0851581
+0.0867799
+0.0884262
+0.0900957
+0.0917869
+0.0971907
+0.0964336
+0.0957123
+0.0950249
+0.0943788
+0.0937742
+0.0932171
+0.0927085
+0.0922491
+0.0918396
+0.0914809
+0.0911733
+0.0909175
+0.0892188
+0.0873611
+0.0855191
+0.083694
+0.0818867
+0.080088
+0.0783078
+0.0765489
+0.0748008
+0.073076
+0.0713768
+0.069705
+0.068054
+0.0664155
+0.0648028
+0.0631945
+0.0615852
+0.0600128
+0.0584802
+0.0569906
+0.0555379
+0.0540939
+0.0527006
+0.051363
+0.0500832
+0.0488511
+0.0476773
+0.0465578
+0.0455062
+0.0445285
+0.04361
+0.0427795
+0.0420469
+0.0414173
+0.0408857
+0.0404528
+0.040135
+0.0399177
+0.039814
+0.0398241
+0.0398819
+0.0400457
+0.040328
+0.0406937
+0.0411602
+0.0417306
+0.0423906
+0.0431519
+0.0439504
+0.0447959
+0.0457308
+0.0467389
+0.0478187
+0.0489727
+0.0501846
+0.0514396
+0.0527334
+0.054085
+0.0554613
+0.0568843
+0.0582181
+0.0588281
+0.0595126
+0.0602675
+0.0610916
+0.0619821
+0.0629364
+0.0639514
+0.0650245
+0.0661499
+0.0673182
+0.0685366
+0.0698025
+0.0711133
+0.0724667
+0.0738603
+0.0752918
+0.0767551
+0.0782454
+0.0797671
+0.0813194
+0.0829005
+0.0845088
+0.0861428
+0.0878011
+0.0894822
+0.0911848
+0.0974752
+0.0967203
+0.0960013
+0.095316
+0.0946764
+0.0940835
+0.0935335
+0.0930266
+0.0925688
+0.0921608
+0.0918033
+0.0914968
+0.0912419
+0.0900658
+0.0882259
+0.0864023
+0.0845962
+0.0827992
+0.0810194
+0.0792602
+0.0775223
+0.0757961
+0.0740945
+0.0724192
+0.0707507
+0.0691003
+0.0674666
+0.0658162
+0.064198
+0.0626147
+0.0610689
+0.0595636
+0.058092
+0.0566276
+0.0552113
+0.0538469
+0.0525369
+0.0512705
+0.0500674
+0.0489126
+0.0477959
+0.0467552
+0.0457888
+0.0448918
+0.0440855
+0.043375
+0.042765
+0.042242
+0.0418231
+0.0415014
+0.0412855
+0.0411345
+0.0410713
+0.0411138
+0.0412726
+0.0415466
+0.0419034
+0.042356
+0.0428953
+0.0435376
+0.0442528
+0.0450457
+0.0458717
+0.0467857
+0.0477773
+0.0488328
+0.0499448
+0.0511264
+0.0523731
+0.0536534
+0.0549826
+0.0563128
+0.0567744
+0.0573161
+0.0579356
+0.0586301
+0.0593961
+0.060232
+0.0611351
+0.0621024
+0.0631309
+0.0642176
+0.0653598
+0.0665504
+0.0677826
+0.0690624
+0.070387
+0.0717541
+0.0731612
+0.0746062
+0.0760859
+0.0775895
+0.079125
+0.0806908
+0.082285
+0.0839062
+0.0855528
+0.0872233
+0.0889156
+0.0906291
+0.0978079
+0.0970556
+0.0963392
+0.0956563
+0.095019
+0.0944283
+0.093885
+0.0933899
+0.092939
+0.0925327
+0.0921766
+0.0918714
+0.0916175
+0.0909575
+0.0891361
+0.0873315
+0.0855368
+0.0837578
+0.0819988
+0.080261
+0.0785442
+0.076841
+0.0751552
+0.0734731
+0.0718172
+0.0701323
+0.068476
+0.0668504
+0.0652579
+0.063701
+0.0621822
+0.0606961
+0.059215
+0.0577791
+0.0563917
+0.0550556
+0.0537595
+0.0525145
+0.0513045
+0.0501492
+0.0490607
+0.0480474
+0.0471126
+0.046242
+0.0454597
+0.0447709
+0.0441761
+0.043666
+0.0432492
+0.042892
+0.0426181
+0.0424539
+0.0423819
+0.042423
+0.042577
+0.04284
+0.0431679
+0.0435866
+0.0441102
+0.0447154
+0.0453978
+0.046167
+0.0470114
+0.0479016
+0.0488563
+0.0498874
+0.0509764
+0.0521347
+0.0533459
+0.0545966
+0.0550635
+0.0554557
+0.0559244
+0.0564743
+0.0571029
+0.0578078
+0.0585861
+0.0594351
+0.0603517
+0.0613328
+0.0623754
+0.063476
+0.0646314
+0.0658393
+0.0670918
+0.0683844
+0.069722
+0.0711018
+0.0725216
+0.0739791
+0.0754719
+0.076989
+0.0785362
+0.0801135
+0.081719
+0.0833512
+0.0850085
+0.0866895
+0.0883921
+0.0901155
+0.0981883
+0.097439
+0.0967255
+0.0960454
+0.0954107
+0.0948225
+0.0942814
+0.0937884
+0.0933443
+0.0929497
+0.0926003
+0.0922964
+0.0920438
+0.0918427
+0.0900903
+0.088298
+0.0865203
+0.0847619
+0.0830241
+0.081308
+0.0796093
+0.0779085
+0.076223
+0.0745171
+0.0728322
+0.0711713
+0.0695397
+0.0679396
+0.0663732
+0.0648431
+0.0633268
+0.0618309
+0.0603775
+0.0589697
+0.0576109
+0.0563019
+0.0550011
+0.0537578
+0.0525764
+0.0514494
+0.050389
+0.049403
+0.048496
+0.0476547
+0.0468959
+0.0462198
+0.0456084
+0.0450733
+0.0446294
+0.0442579
+0.0439925
+0.0438327
+0.0437629
+0.0438028
+0.0439519
+0.0441691
+0.044477
+0.0448835
+0.0453748
+0.0459474
+0.0466062
+0.0473421
+0.0481646
+0.049055
+0.050005
+0.0510138
+0.0520715
+0.0531884
+0.0537115
+0.0539381
+0.0542515
+0.054651
+0.0551348
+0.0556992
+0.0563365
+0.0570508
+0.0578394
+0.0586991
+0.059627
+0.0606199
+0.0616746
+0.0627881
+0.0639573
+0.0651791
+0.0664507
+0.0677693
+0.06912
+0.0705116
+0.0719431
+0.073412
+0.0749162
+0.0764466
+0.0780045
+0.0795923
+0.0812082
+0.0828504
+0.0845176
+0.0862081
+0.08792
+0.0896525
+0.098616
+0.0978699
+0.0971597
+0.0964827
+0.0958509
+0.0952654
+0.0947268
+0.0942362
+0.0937942
+0.0934014
+0.0930586
+0.0927663
+0.0925199
+0.0923199
+0.091072
+0.0892955
+0.0875366
+0.0857975
+0.0840796
+0.0823841
+0.0806822
+0.0789511
+0.0772433
+0.0755604
+0.0738981
+0.0722617
+0.0706553
+0.0690811
+0.0675322
+0.0659862
+0.0644777
+0.0630092
+0.0615836
+0.060204
+0.0588685
+0.0575467
+0.0562747
+0.0550602
+0.0539073
+0.0528086
+0.051776
+0.0508169
+0.0499165
+0.0490902
+0.0483269
+0.0476232
+0.0470091
+0.0464901
+0.046048
+0.0456881
+0.0454311
+0.0452755
+0.045208
+0.045243
+0.0453466
+0.0455437
+0.0458234
+0.046198
+0.0466724
+0.0472438
+0.0478709
+0.0485876
+0.0493874
+0.0502561
+0.051179
+0.0521657
+0.0527657
+0.0528231
+0.0529699
+0.0531989
+0.0535166
+0.0539216
+0.0544118
+0.054985
+0.0556385
+0.0563689
+0.0571669
+0.0580366
+0.0589749
+0.0599786
+0.0610444
+0.0621692
+0.0633498
+0.0645831
+0.0658662
+0.0671963
+0.0685637
+0.0699721
+0.0714198
+0.0729047
+0.0744203
+0.0759632
+0.0775311
+0.0791284
+0.0807535
+0.0824049
+0.0840809
+0.08578
+0.0875003
+0.0892409
+0.0990785
+0.0983359
+0.0976369
+0.0969675
+0.0963389
+0.0957563
+0.0952206
+0.0947325
+0.0942928
+0.0939022
+0.0935612
+0.0932704
+0.0930304
+0.0928414
+0.0920818
+0.090324
+0.0885855
+0.0868674
+0.0851711
+0.083437
+0.0817055
+0.0799965
+0.0783116
+0.0766521
+0.0750129
+0.0734014
+0.0718205
+0.0702374
+0.0686825
+0.067163
+0.0656815
+0.0642405
+0.0628429
+0.0614788
+0.0601337
+0.0588394
+0.0575972
+0.0564111
+0.0552865
+0.0542222
+0.0532047
+0.0522513
+0.0513463
+0.0505103
+0.0497464
+0.049061
+0.0484651
+0.0479575
+0.0475253
+0.0471767
+0.0469278
+0.0467719
+0.0466953
+0.0466796
+0.0467602
+0.046943
+0.0472105
+0.0475741
+0.0480255
+0.0485473
+0.0491363
+0.0498147
+0.0505789
+0.0514252
+0.0522623
+0.0521365
+0.0521026
+0.0521608
+0.0523087
+0.0525406
+0.0528623
+0.0532722
+0.0537684
+0.0543483
+0.0550095
+0.0557489
+0.0565636
+0.05745
+0.0583977
+0.0594112
+0.060487
+0.0616219
+0.0628128
+0.0640565
+0.0653499
+0.0666903
+0.0680679
+0.0694863
+0.070944
+0.0724386
+0.0739679
+0.0755298
+0.0771141
+0.0787228
+0.0803561
+0.0820154
+0.0836992
+0.085406
+0.0871336
+0.0888814
+0.0995864
+0.0988477
+0.0981523
+0.0974991
+0.096874
+0.0962947
+0.0957619
+0.0952766
+0.0948394
+0.0944511
+0.0941121
+0.093823
+0.0935844
+0.0933965
+0.093131
+0.0913934
+0.0896757
+0.0879669
+0.0862151
+0.0844837
+0.0827741
+0.0810877
+0.0794259
+0.0777898
+0.0761731
+0.0745578
+0.0729654
+0.0714026
+0.0698734
+0.0683803
+0.0669256
+0.0655118
+0.0641239
+0.062759
+0.061442
+0.0601759
+0.0589618
+0.0578037
+0.056702
+0.055635
+0.0546196
+0.0536655
+0.0527761
+0.051961
+0.0512116
+0.0505461
+0.0499663
+0.0494601
+0.0490462
+0.0487183
+0.0484611
+0.0482842
+0.0481632
+0.0481417
+0.0482199
+0.0483923
+0.0486472
+0.0489513
+0.0493413
+0.0498247
+0.0503987
+0.0510603
+0.0518062
+0.0519051
+0.0516857
+0.0515585
+0.0515242
+0.0515831
+0.051732
+0.0519664
+0.0522917
+0.0527061
+0.0532075
+0.0537935
+0.0544614
+0.0552082
+0.0560307
+0.0569257
+0.0578898
+0.0589178
+0.0600025
+0.0611465
+0.0623464
+0.0635992
+0.0649018
+0.0662512
+0.0676394
+0.0690666
+0.070533
+0.0720362
+0.0735738
+0.0751439
+0.0767444
+0.0783693
+0.0800163
+0.0816829
+0.0833734
+0.0850867
+0.0868207
+0.0885747
+0.10014
+0.0994051
+0.0987136
+0.0980637
+0.0974508
+0.0968749
+0.0963454
+0.095863
+0.0954285
+0.0950425
+0.0947057
+0.0944185
+0.0941813
+0.0939947
+0.0938588
+0.0925024
+0.090765
+0.0890143
+0.0872835
+0.0855738
+0.0838864
+0.0822228
+0.0805832
+0.0789398
+0.077319
+0.0757192
+0.0741497
+0.0726123
+0.0711092
+0.0696425
+0.0682144
+0.0668001
+0.0654258
+0.0640887
+0.0627995
+0.0615613
+0.0603689
+0.059207
+0.0581012
+0.057046
+0.0560521
+0.0551142
+0.0542486
+0.0534551
+0.052727
+0.0520808
+0.0515038
+0.0510125
+0.0506113
+0.0502574
+0.0499866
+0.0497956
+0.0496783
+0.0496509
+0.0496896
+0.0498178
+0.0500275
+0.0503138
+0.0506933
+0.0511639
+0.0517231
+0.0521313
+0.0517314
+0.0514179
+0.0511964
+0.051068
+0.0510334
+0.0510928
+0.0512425
+0.0514792
+0.0518075
+0.0522257
+0.0527317
+0.0533229
+0.0539966
+0.0547497
+0.0555791
+0.0564812
+0.0574528
+0.0584885
+0.059581
+0.0607329
+0.0619409
+0.0632017
+0.0645123
+0.0658697
+0.067271
+0.0687137
+0.070188
+0.0716984
+0.0732432
+0.0748202
+0.0764275
+0.0780632
+0.0797251
+0.0814048
+0.083104
+0.0848228
+0.0865621
+0.0881082
+0.100738
+0.100007
+0.0993201
+0.0986678
+0.0980596
+0.0974959
+0.0969698
+0.0964905
+0.0960589
+0.0956755
+0.0953408
+0.0950555
+0.09482
+0.0946346
+0.0944996
+0.093582
+0.0918327
+0.0901028
+0.0883933
+0.0867055
+0.0850406
+0.0833794
+0.0817304
+0.0801028
+0.0784987
+0.0769235
+0.075379
+0.0738672
+0.0723901
+0.0709272
+0.0694988
+0.0681109
+0.066766
+0.0654646
+0.064195
+0.0629513
+0.0617603
+0.0606242
+0.0595348
+0.0585047
+0.0575242
+0.0566107
+0.0557683
+0.0549889
+0.0542813
+0.0536487
+0.0530869
+0.0525937
+0.0521513
+0.0517979
+0.051528
+0.0512978
+0.0511477
+0.0510912
+0.0511198
+0.0512328
+0.0514388
+0.0517281
+0.0520897
+0.0525317
+0.05223
+0.0517384
+0.0513357
+0.0510203
+0.050797
+0.0506676
+0.0506327
+0.0506926
+0.0508428
+0.0510813
+0.0514121
+0.0518335
+0.0523433
+0.0529389
+0.0536174
+0.0543758
+0.0552107
+0.0561188
+0.0570966
+0.0581386
+0.0592375
+0.060396
+0.0616106
+0.062878
+0.0641952
+0.0655592
+0.066967
+0.0684161
+0.0699038
+0.0714263
+0.0729768
+0.0745595
+0.0761722
+0.0778133
+0.0794808
+0.0811733
+0.0828848
+0.0846143
+0.0861879
+0.0876373
+0.101379
+0.100654
+0.0999652
+0.0993166
+0.0987124
+0.0981534
+0.0976394
+0.0971634
+0.0967348
+0.096354
+0.0960218
+0.0957385
+0.0955046
+0.0953206
+0.0951866
+0.0946686
+0.0929399
+0.0912309
+0.089543
+0.0878676
+0.0861932
+0.0845422
+0.082909
+0.0813012
+0.0797211
+0.0781705
+0.0766512
+0.0751442
+0.0736672
+0.0722266
+0.0708243
+0.0694629
+0.0681447
+0.0668386
+0.0655719
+0.0643548
+0.0631903
+0.0620784
+0.061013
+0.0599974
+0.0590408
+0.0581511
+0.0573287
+0.0565656
+0.055878
+0.0552462
+0.0546575
+0.0541437
+0.0536989
+0.0533141
+0.0530149
+0.0527788
+0.0526329
+0.0525724
+0.052591
+0.0526951
+0.052878
+0.0531505
+0.0531768
+0.0525116
+0.0519304
+0.0514359
+0.0510308
+0.0507142
+0.0504896
+0.0503594
+0.0503243
+0.0503845
+0.0505349
+0.0507749
+0.0511077
+0.0515316
+0.0520443
+0.0526433
+0.0533256
+0.054088
+0.0549274
+0.0558401
+0.0568226
+0.0578696
+0.0589735
+0.0601371
+0.0613568
+0.0626293
+0.0639517
+0.0653207
+0.0667336
+0.0681876
+0.0696802
+0.0712088
+0.0727714
+0.0743624
+0.0759793
+0.0776245
+0.079296
+0.0809923
+0.0827118
+0.0843377
+0.0857624
+0.0872189
+0.102064
+0.101341
+0.100653
+0.100009
+0.0994092
+0.0988541
+0.0983447
+0.0978807
+0.0974552
+0.0970773
+0.0967475
+0.0964664
+0.0962343
+0.0960516
+0.0959186
+0.0957931
+0.094085
+0.0923971
+0.0906987
+0.0890214
+0.0873668
+0.0857352
+0.0841244
+0.0825403
+0.080982
+0.0794394
+0.0779207
+0.0764346
+0.0749831
+0.0735682
+0.0721921
+0.070843
+0.0695156
+0.0682317
+0.0669913
+0.0658005
+0.0646621
+0.0635726
+0.0625263
+0.0615311
+0.0605987
+0.0597322
+0.0589243
+0.0581543
+0.0574361
+0.0567933
+0.056203
+0.0556632
+0.0552052
+0.0548309
+0.0545241
+0.0542946
+0.0541527
+0.0540874
+0.0540883
+0.0541779
+0.0543557
+0.0537221
+0.0529732
+0.0523054
+0.0517219
+0.0512254
+0.0508186
+0.0505014
+0.0502758
+0.0501451
+0.0501098
+0.0501703
+0.0503206
+0.0505616
+0.0508958
+0.0513215
+0.0518363
+0.0524376
+0.0531225
+0.0538879
+0.0547303
+0.0556462
+0.0566321
+0.0576826
+0.05879
+0.0599571
+0.0611804
+0.0624566
+0.0637825
+0.0651551
+0.0665715
+0.068029
+0.0695249
+0.0710569
+0.0726227
+0.0742201
+0.0758472
+0.0774971
+0.0791713
+0.0808702
+0.0825623
+0.08396
+0.0853911
+0.0868538
+0.102791
+0.102067
+0.101384
+0.100745
+0.100149
+0.0995981
+0.0990925
+0.098633
+0.0982192
+0.0978443
+0.0975171
+0.0972382
+0.0970079
+0.0968267
+0.0966948
+0.0966124
+0.0952395
+0.093541
+0.0918633
+0.0902077
+0.0885753
+0.0869601
+0.0853615
+0.0837897
+0.082246
+0.0807206
+0.0792265
+0.0777654
+0.0763392
+0.0749499
+0.073569
+0.0722253
+0.0709238
+0.0696658
+0.0684515
+0.0672865
+0.0661683
+0.065096
+0.0640743
+0.0631035
+0.0621948
+0.0613164
+0.0604771
+0.0597065
+0.0589941
+0.0583281
+0.057727
+0.0572016
+0.056756
+0.0563846
+0.0560772
+0.055854
+0.0556987
+0.0556134
+0.0556143
+0.0553412
+0.0544385
+0.0536102
+0.0528597
+0.0521905
+0.0516056
+0.051108
+0.0507003
+0.050383
+0.0501569
+0.0500258
+0.0499905
+0.0500511
+0.0502011
+0.0504427
+0.0507777
+0.0512043
+0.0517203
+0.0523229
+0.0530094
+0.0537763
+0.0546204
+0.0555382
+0.056526
+0.0575783
+0.0586878
+0.0598568
+0.0610821
+0.0623603
+0.0636882
+0.0650628
+0.0664812
+0.0679406
+0.0694385
+0.0709724
+0.07254
+0.0741392
+0.075768
+0.0774245
+0.079107
+0.0808074
+0.0822349
+0.0836381
+0.0850745
+0.0865426
+0.103553
+0.102834
+0.102157
+0.101522
+0.100931
+0.100384
+0.0998827
+0.0994269
+0.0990174
+0.098654
+0.0983295
+0.0980529
+0.0978245
+0.0976448
+0.097514
+0.0974323
+0.0963956
+0.0947152
+0.0930535
+0.0914141
+0.0897947
+0.088193
+0.0866171
+0.0850685
+0.0835416
+0.0820404
+0.0805707
+0.0791344
+0.0777199
+0.0763235
+0.0749651
+0.0736469
+0.0723709
+0.0711381
+0.0699493
+0.0688049
+0.0677035
+0.0666559
+0.0656565
+0.0646682
+0.0637398
+0.0628569
+0.062029
+0.0612609
+0.0605345
+0.0598794
+0.0592929
+0.0587815
+0.0583479
+0.0579686
+0.0576535
+0.0574203
+0.0572636
+0.0571807
+0.0562922
+0.0553194
+0.0544163
+0.0535877
+0.0528369
+0.0521673
+0.0515822
+0.0510842
+0.050676
+0.0503593
+0.0501335
+0.0500024
+0.049967
+0.0500277
+0.0501771
+0.0504187
+0.0507539
+0.0511807
+0.0516969
+0.0522999
+0.0529866
+0.0537539
+0.0545983
+0.0555164
+0.0565046
+0.0575574
+0.0586672
+0.0598367
+0.0610624
+0.062341
+0.0636693
+0.0650443
+0.066463
+0.0679228
+0.0694211
+0.0709553
+0.0725233
+0.0741229
+0.075752
+0.0774089
+0.0790917
+0.0805902
+0.0819647
+0.0833724
+0.0848134
+0.0862859
+0.104356
+0.103642
+0.10297
+0.10234
+0.101754
+0.101212
+0.100714
+0.100262
+0.0998563
+0.0994969
+0.0991836
+0.0989094
+0.098683
+0.0985049
+0.0983752
+0.0982942
+0.097567
+0.0959046
+0.0942639
+0.0926459
+0.0910419
+0.0894625
+0.0879094
+0.0863816
+0.084874
+0.0833968
+0.0819462
+0.0805111
+0.0791034
+0.0777318
+0.0763985
+0.0751054
+0.073854
+0.0726435
+0.0714785
+0.0703508
+0.0692563
+0.0681946
+0.0671778
+0.0662117
+0.065287
+0.0644158
+0.0635921
+0.0628162
+0.062108
+0.0614691
+0.0608923
+0.0603842
+0.0599411
+0.0595559
+0.0592492
+0.0590134
+0.0584748
+0.0573834
+0.0563454
+0.0553718
+0.054469
+0.0536405
+0.0528898
+0.0522202
+0.051635
+0.0511371
+0.0507289
+0.0504127
+0.050188
+0.050057
+0.0500217
+0.0500823
+0.0502345
+0.0504794
+0.0508177
+0.0512474
+0.0517659
+0.0523685
+0.0530543
+0.0538206
+0.0546641
+0.0555811
+0.0565681
+0.0576197
+0.0587284
+0.0598967
+0.0611212
+0.0623985
+0.0637257
+0.0650995
+0.0665171
+0.0679757
+0.0694728
+0.0710059
+0.0725728
+0.0741713
+0.0757994
+0.0774553
+0.0790067
+0.0803584
+0.0817399
+0.0831515
+0.0845962
+0.0860724
+0.105198
+0.10449
+0.103823
+0.103199
+0.102617
+0.10208
+0.101587
+0.101138
+0.100736
+0.10038
+0.10007
+0.0998066
+0.0995823
+0.0994058
+0.0992773
+0.099197
+0.0987707
+0.097129
+0.0955092
+0.0939065
+0.0923242
+0.0907672
+0.0892368
+0.0877256
+0.0862415
+0.0847684
+0.0833241
+0.0819061
+0.0805227
+0.0791757
+0.0778672
+0.0765988
+0.0753688
+0.0741587
+0.0729809
+0.0718507
+0.0707675
+0.0697265
+0.0687249
+0.0677715
+0.0668609
+0.0659864
+0.0651654
+0.0644085
+0.0637081
+0.0630705
+0.0625034
+0.0620008
+0.0615508
+0.0611757
+0.0608627
+0.0597674
+0.0586173
+0.057516
+0.0564777
+0.0555064
+0.0546058
+0.0537794
+0.0530307
+0.0523629
+0.0517793
+0.0512828
+0.0508758
+0.0505605
+0.0503358
+0.0502052
+0.05017
+0.0502304
+0.0503829
+0.050627
+0.0509643
+0.0513928
+0.0519104
+0.0525142
+0.0532015
+0.053969
+0.0548134
+0.055731
+0.0567163
+0.0577652
+0.0588711
+0.0600366
+0.0612583
+0.0625329
+0.0638572
+0.0652282
+0.0666431
+0.068099
+0.0695935
+0.071124
+0.0726884
+0.0742844
+0.07591
+0.0775148
+0.0788312
+0.0801806
+0.0815603
+0.0829749
+0.0844226
+0.0859018
+0.106078
+0.105376
+0.104715
+0.104096
+0.10352
+0.102987
+0.102498
+0.102054
+0.101655
+0.101302
+0.100995
+0.100735
+0.100521
+0.100346
+0.100219
+0.10014
+0.100008
+0.0983868
+0.0967854
+0.0952007
+0.0936402
+0.0921055
+0.0905933
+0.0890911
+0.0876092
+0.0861566
+0.0847294
+0.0833353
+0.081976
+0.0806533
+0.0793518
+0.0780765
+0.0768357
+0.0756362
+0.0744817
+0.0733746
+0.0723134
+0.0712814
+0.0703024
+0.0693547
+0.0684341
+0.0675721
+0.0667649
+0.0660116
+0.0653231
+0.0647015
+0.0641245
+0.0636141
+0.0631755
+0.0624329
+0.061177
+0.0599748
+0.0588267
+0.0577288
+0.0566944
+0.0557269
+0.0548299
+0.0540069
+0.0532614
+0.0525966
+0.0520156
+0.0515213
+0.0511162
+0.0508024
+0.0505782
+0.0504482
+0.0504132
+0.0504733
+0.0506256
+0.0508687
+0.0512043
+0.0516309
+0.052146
+0.0527472
+0.0534315
+0.0541958
+0.0550367
+0.0559507
+0.0569345
+0.0579843
+0.0590947
+0.0602559
+0.0614732
+0.0627434
+0.0640634
+0.0654301
+0.0668407
+0.0682924
+0.0697827
+0.0713092
+0.0728696
+0.0744617
+0.0760836
+0.07738
+0.0786869
+0.0800324
+0.0814146
+0.0828317
+0.0842819
+0.0857635
+0.106996
+0.1063
+0.105645
+0.105031
+0.10446
+0.103932
+0.103448
+0.103007
+0.102612
+0.102262
+0.101959
+0.101701
+0.10149
+0.101321
+0.101195
+0.101116
+0.100401
+0.0988054
+0.0972327
+0.0956843
+0.0941615
+0.0926654
+0.0911974
+0.0897589
+0.0883513
+0.0869761
+0.0856332
+0.0843248
+0.0830536
+0.0818214
+0.0806298
+0.0794808
+0.0783239
+0.0771475
+0.0760161
+0.0749228
+0.0738622
+0.0728521
+0.0718659
+0.0709103
+0.0700102
+0.0691677
+0.068378
+0.0676374
+0.0669526
+0.0663249
+0.0657586
+0.0652609
+0.0640065
+0.0627056
+0.0614552
+0.0602586
+0.059116
+0.0580236
+0.0569945
+0.0560322
+0.0551402
+0.0543219
+0.0535807
+0.0529199
+0.0523426
+0.0518514
+0.0514489
+0.0511365
+0.0509138
+0.0507847
+0.0507499
+0.0508096
+0.0509615
+0.0512029
+0.0515364
+0.0519602
+0.0524722
+0.0530696
+0.0537498
+0.0545096
+0.0553458
+0.0562548
+0.0572333
+0.0582778
+0.0593848
+0.0605508
+0.0617652
+0.0630295
+0.0643436
+0.0657045
+0.0671093
+0.0685553
+0.0700401
+0.071561
+0.073116
+0.0747029
+0.0760208
+0.0772886
+0.0785969
+0.079944
+0.0813277
+0.0827462
+0.0841979
+0.085681
+0.107948
+0.107259
+0.106609
+0.106002
+0.105436
+0.104912
+0.104433
+0.103997
+0.103605
+0.103259
+0.102958
+0.102703
+0.102494
+0.102329
+0.102204
+0.102126
+0.100582
+0.0989889
+0.0974192
+0.0958738
+0.094354
+0.0928611
+0.0913962
+0.0899609
+0.0885564
+0.0871845
+0.0858448
+0.0845397
+0.0832719
+0.0820429
+0.0808546
+0.0797088
+0.0786074
+0.0775522
+0.0765452
+0.0755883
+0.0746834
+0.0738324
+0.0730346
+0.0722927
+0.0716102
+0.070776
+0.0699927
+0.0692619
+0.0685933
+0.0679767
+0.0670749
+0.0656887
+0.0643472
+0.0630532
+0.0618099
+0.0606203
+0.0594846
+0.0583991
+0.0573767
+0.056421
+0.0555352
+0.0547228
+0.0539871
+0.0533314
+0.0527585
+0.0522712
+0.051872
+0.0515616
+0.0513407
+0.0512127
+0.0511782
+0.0512374
+0.0513886
+0.0516281
+0.0519589
+0.0523792
+0.0528871
+0.05348
+0.054155
+0.0549092
+0.0557393
+0.0566421
+0.057614
+0.0586517
+0.0597517
+0.0609107
+0.0621253
+0.0633849
+0.0646918
+0.0660455
+0.0674432
+0.0688823
+0.0703601
+0.0718743
+0.0734226
+0.0747653
+0.0759909
+0.0772592
+0.078568
+0.0799155
+0.0812997
+0.0827188
+0.0841709
+0.0856545
+0.108937
+0.108253
+0.10761
+0.107008
+0.106447
+0.105929
+0.105454
+0.105022
+0.104635
+0.104292
+0.103994
+0.103741
+0.103534
+0.103373
+0.103249
+0.102421
+0.10081
+0.0992204
+0.0976544
+0.0961129
+0.0945969
+0.0931078
+0.0916469
+0.0902156
+0.0888152
+0.0874473
+0.0861117
+0.0848107
+0.083547
+0.0823221
+0.0811379
+0.0799962
+0.0788988
+0.0778475
+0.0768444
+0.0758889
+0.0749834
+0.0741317
+0.0733354
+0.0725966
+0.071917
+0.0712982
+0.0707419
+0.0702495
+0.0698187
+0.0688912
+0.0674712
+0.0660932
+0.0647601
+0.0634746
+0.0622397
+0.0610584
+0.0599311
+0.0588538
+0.0578395
+0.0568915
+0.0560131
+0.0552078
+0.0544787
+0.0538289
+0.0532614
+0.0527788
+0.0523834
+0.0520755
+0.0518568
+0.05173
+0.0516959
+0.0517545
+0.0519048
+0.0521419
+0.0524694
+0.0528857
+0.0533888
+0.0539761
+0.054645
+0.0553926
+0.0562156
+0.0571108
+0.0580749
+0.0591045
+0.0601962
+0.0613468
+0.062553
+0.0638041
+0.0651026
+0.0664479
+0.0678373
+0.0692682
+0.0707379
+0.0722442
+0.0736189
+0.0747991
+0.0760241
+0.0772918
+0.0786002
+0.0799471
+0.0813308
+0.0827493
+0.0842009
+0.085684
+0.10996
+0.109283
+0.108646
+0.108049
+0.107494
+0.106981
+0.106511
+0.106083
+0.1057
+0.10536
+0.105065
+0.104815
+0.10461
+0.104451
+0.10432
+0.102692
+0.101085
+0.0994997
+0.0979382
+0.0964011
+0.0948898
+0.0934054
+0.0919492
+0.0905226
+0.0891271
+0.087764
+0.0864333
+0.0851373
+0.0838784
+0.0826585
+0.0814792
+0.0803423
+0.0792476
+0.0781971
+0.0771944
+0.0762415
+0.0753402
+0.0744925
+0.0737002
+0.0729651
+0.0722889
+0.0716733
+0.0711199
+0.0706302
+0.0702017
+0.0693463
+0.0679358
+0.0665675
+0.0652441
+0.0639683
+0.0627431
+0.0615715
+0.0604537
+0.0593859
+0.0583808
+0.0574418
+0.056572
+0.0557747
+0.0550531
+0.0544102
+0.0538488
+0.0533715
+0.0529805
+0.0526755
+0.0524593
+0.052334
+0.0523002
+0.0523582
+0.0525074
+0.0527417
+0.0530656
+0.0534773
+0.0539748
+0.0545558
+0.0552177
+0.0559576
+0.0567724
+0.057659
+0.058614
+0.0596343
+0.0607166
+0.0618575
+0.0630539
+0.0642952
+0.065584
+0.0669197
+0.0682995
+0.0697209
+0.0711813
+0.0725867
+0.0737183
+0.074897
+0.0761204
+0.0773866
+0.0786933
+0.0800387
+0.0814208
+0.0828378
+0.0842879
+0.0857694
+0.111017
+0.110346
+0.109716
+0.109125
+0.108575
+0.108067
+0.107602
+0.107179
+0.106799
+0.106463
+0.106171
+0.105924
+0.105721
+0.105564
+0.104632
+0.103008
+0.101406
+0.0998262
+0.0982699
+0.0967381
+0.0952321
+0.0937532
+0.0923025
+0.0908814
+0.0894915
+0.088134
+0.0868091
+0.0855187
+0.0842655
+0.0830495
+0.081872
+0.0807367
+0.0796456
+0.0786003
+0.0776029
+0.076655
+0.0757587
+0.0749158
+0.074128
+0.0733971
+0.072725
+0.0721131
+0.0715631
+0.0710764
+0.0706507
+0.0698672
+0.0684674
+0.0671099
+0.0657974
+0.0645326
+0.0633183
+0.0621575
+0.0610505
+0.0599933
+0.0589986
+0.0580695
+0.0572093
+0.056421
+0.0557078
+0.0550725
+0.0545179
+0.0540465
+0.0536605
+0.0533588
+0.0531454
+0.0530217
+0.0529884
+0.0530456
+0.053193
+0.0534247
+0.0537445
+0.054151
+0.0546424
+0.0552164
+0.0558705
+0.0566018
+0.0574075
+0.0582844
+0.0592294
+0.0602393
+0.0613108
+0.0624408
+0.0636263
+0.0648567
+0.0661345
+0.0674593
+0.0688283
+0.070239
+0.0716736
+0.0727535
+0.0738826
+0.0750587
+0.0762795
+0.0775431
+0.0788472
+0.08019
+0.0815696
+0.082984
+0.0844316
+0.0859107
+0.111959
+0.111443
+0.110818
+0.110233
+0.109689
+0.109187
+0.108726
+0.108307
+0.107931
+0.107599
+0.10731
+0.107065
+0.106865
+0.106626
+0.104988
+0.10337
+0.101774
+0.1002
+0.0986492
+0.0971234
+0.0956235
+0.0941506
+0.0927062
+0.0912914
+0.0899078
+0.0885568
+0.0872367
+0.0859491
+0.0846986
+0.0834869
+0.0823156
+0.0811865
+0.0801015
+0.0790623
+0.0780707
+0.0771286
+0.0762379
+0.0754003
+0.0746176
+0.0738916
+0.073224
+0.0726163
+0.0720702
+0.0715869
+0.0711643
+0.0704524
+0.0690644
+0.067719
+0.0664185
+0.0651657
+0.0639634
+0.0628146
+0.0617193
+0.0606738
+0.0596904
+0.0587723
+0.0579225
+0.057144
+0.05644
+0.055813
+0.0552659
+0.0548009
+0.05442
+0.0541222
+0.0539118
+0.0537899
+0.053757
+0.0538134
+0.0539587
+0.0541878
+0.054503
+0.0549039
+0.0553887
+0.055955
+0.0566005
+0.0573226
+0.0581182
+0.0589846
+0.0599185
+0.060917
+0.0619768
+0.0630949
+0.0642683
+0.0654867
+0.0667524
+0.0680652
+0.0694222
+0.0708211
+0.0719094
+0.0729858
+0.0741113
+0.0752838
+0.0765011
+0.077761
+0.0790615
+0.0804008
+0.0817768
+0.0831877
+0.0846318
+0.0861074
+0.112813
+0.112571
+0.111953
+0.111374
+0.110836
+0.110338
+0.109882
+0.109468
+0.109096
+0.108767
+0.108481
+0.108239
+0.108041
+0.107015
+0.105383
+0.103771
+0.102181
+0.100614
+0.0990696
+0.0975504
+0.0960571
+0.094591
+0.0931534
+0.0917455
+0.0903689
+0.089024
+0.0877079
+0.0864273
+0.0851838
+0.0839791
+0.0828148
+0.0816926
+0.0806144
+0.0795819
+0.0785969
+0.0776612
+0.0767766
+0.0759449
+0.0751679
+0.0744473
+0.0737847
+0.0731817
+0.0726398
+0.0721604
+0.0717411
+0.0711003
+0.0697252
+0.0683927
+0.0671053
+0.0658656
+0.0646764
+0.0635404
+0.0624579
+0.0614249
+0.0604538
+0.0595474
+0.0587088
+0.0579409
+0.0572466
+0.0566286
+0.0560895
+0.0556314
+0.0552556
+0.0549623
+0.0547552
+0.0546351
+0.0546028
+0.0546583
+0.0548014
+0.0550275
+0.055338
+0.0557329
+0.0562104
+0.0567686
+0.057405
+0.058117
+0.0589019
+0.0597569
+0.060679
+0.0616651
+0.0627123
+0.0638176
+0.0649779
+0.0661832
+0.0674359
+0.0687356
+0.0700796
+0.0711855
+0.0722063
+0.0732783
+0.0743994
+0.0755674
+0.0767802
+0.0780356
+0.0793317
+0.0806664
+0.082038
+0.0834445
+0.0848842
+0.0863555
+0.113703
+0.113499
+0.113119
+0.112546
+0.112013
+0.111521
+0.111069
+0.11066
+0.110292
+0.109966
+0.109684
+0.109444
+0.10909
+0.107444
+0.105819
+0.104214
+0.10263
+0.10107
+0.0995329
+0.0980209
+0.0965349
+0.0950762
+0.093646
+0.0922457
+0.0908766
+0.0895394
+0.088231
+0.0869581
+0.0857223
+0.0845252
+0.0833685
+0.0822539
+0.0811832
+0.080158
+0.0791801
+0.0782514
+0.0773736
+0.0765484
+0.0757776
+0.0750628
+0.0744057
+0.0738078
+0.0732705
+0.0727952
+0.0723796
+0.0718092
+0.070448
+0.0691294
+0.0678559
+0.0666302
+0.0654549
+0.0643326
+0.0632637
+0.0622441
+0.0612859
+0.060392
+0.0595653
+0.0588087
+0.0581247
+0.0575162
+0.0569854
+0.0565346
+0.0561643
+0.0558758
+0.055672
+0.055554
+0.0555222
+0.0555768
+0.0557175
+0.0559404
+0.0562459
+0.0566344
+0.0571045
+0.057654
+0.0582807
+0.0589821
+0.0597557
+0.0605987
+0.0615081
+0.0624812
+0.0635149
+0.0646064
+0.0657528
+0.0669442
+0.0681829
+0.0694686
+0.0705818
+0.0715441
+0.0725598
+0.0736267
+0.0747426
+0.0759054
+0.0771128
+0.0783629
+0.0796536
+0.0809831
+0.0823493
+0.0837506
+0.0851852
+0.0866514
+0.114628
+0.114425
+0.114265
+0.113748
+0.11322
+0.112733
+0.112287
+0.111882
+0.111518
+0.111196
+0.110917
+0.11068
+0.109555
+0.107916
+0.106298
+0.1047
+0.103124
+0.101571
+0.100042
+0.098538
+0.0970599
+0.0956092
+0.0941871
+0.0927949
+0.091434
+0.0901051
+0.088805
+0.0875405
+0.086313
+0.0851243
+0.0839758
+0.0828694
+0.0818067
+0.0807894
+0.0798193
+0.0788981
+0.0780276
+0.0772094
+0.0764452
+0.0757368
+0.0750855
+0.0744931
+0.0739608
+0.0734899
+0.0730783
+0.0725773
+0.0712308
+0.069927
+0.0686683
+0.0674573
+0.0662966
+0.0651889
+0.0641342
+0.0631287
+0.0621842
+0.0613034
+0.0604891
+0.0597442
+0.0590711
+0.0584724
+0.0579503
+0.0575071
+0.0571426
+0.056859
+0.0566588
+0.0565428
+0.0565116
+0.0565652
+0.0567035
+0.0569231
+0.0572233
+0.0576053
+0.0580674
+0.0586079
+0.0592245
+0.0599149
+0.0606766
+0.0615069
+0.0624032
+0.0633625
+0.0643821
+0.0654591
+0.0665908
+0.0677675
+0.0689914
+0.0700987
+0.0710111
+0.0719677
+0.0729775
+0.0740384
+0.0751482
+0.0763047
+0.0775059
+0.0787498
+0.0800343
+0.0813575
+0.0827176
+0.0841127
+0.0855412
+0.0870014
+0.115587
+0.115386
+0.115227
+0.114978
+0.114456
+0.113975
+0.113533
+0.113132
+0.112773
+0.112454
+0.112178
+0.111711
+0.110061
+0.10843
+0.10682
+0.10523
+0.103662
+0.102117
+0.100597
+0.0991007
+0.0976312
+0.0961891
+0.0947757
+0.0933923
+0.0920403
+0.0907202
+0.0894291
+0.0881735
+0.086955
+0.0857751
+0.0846355
+0.0835378
+0.0824837
+0.0814749
+0.080513
+0.0795998
+0.0787371
+0.0779263
+0.0771693
+0.0764675
+0.0758226
+0.0752359
+0.0747089
+0.0742428
+0.0738354
+0.0734028
+0.0720717
+0.0707834
+0.0695402
+0.0683447
+0.0671993
+0.0661067
+0.0650669
+0.0640761
+0.0631457
+0.0622785
+0.0614771
+0.0607443
+0.0600824
+0.0594939
+0.0589809
+0.0585454
+0.0581869
+0.0579085
+0.0577119
+0.057598
+0.0575673
+0.05762
+0.0577558
+0.0579719
+0.0582667
+0.0586419
+0.0590959
+0.0596271
+0.0602333
+0.0609122
+0.0616616
+0.0624789
+0.0633613
+0.0643063
+0.0653112
+0.0663732
+0.0674896
+0.0686508
+0.0697347
+0.0705858
+0.0714939
+0.072455
+0.0734581
+0.0745122
+0.075615
+0.0767645
+0.0779586
+0.0791954
+0.0804728
+0.0817889
+0.0831419
+0.08453
+0.0859516
+0.087405
+0.116579
+0.11638
+0.116222
+0.116105
+0.115715
+0.115239
+0.114802
+0.114406
+0.11405
+0.113735
+0.113462
+0.11225
+0.110609
+0.108986
+0.107384
+0.105803
+0.104243
+0.102707
+0.101195
+0.0997085
+0.098248
+0.0968151
+0.095411
+0.0940369
+0.0926943
+0.0913837
+0.0901021
+0.088856
+0.087647
+0.0864765
+0.0853463
+0.0842578
+0.0832129
+0.082213
+0.0812599
+0.0803552
+0.0795006
+0.0786977
+0.0779482
+0.0772535
+0.0766152
+0.0760346
+0.0755132
+0.0750521
+0.0746491
+0.0742837
+0.0729687
+0.0716965
+0.0704694
+0.06929
+0.0681605
+0.0670836
+0.0660591
+0.0650834
+0.0641676
+0.0633144
+0.0625263
+0.0618059
+0.0611555
+0.0605774
+0.0600737
+0.0596462
+0.0592939
+0.0590206
+0.0588278
+0.058716
+0.058686
+0.0587376
+0.0588708
+0.0590834
+0.0593726
+0.0597409
+0.0601867
+0.0607083
+0.0613037
+0.061971
+0.0627077
+0.0635115
+0.0643798
+0.0653101
+0.0662997
+0.0673461
+0.0684467
+0.069507
+0.0702926
+0.071137
+0.0720382
+0.072994
+0.0740005
+0.0750469
+0.076142
+0.0772837
+0.0784699
+0.0796987
+0.0809682
+0.0822764
+0.0836215
+0.0850018
+0.0864156
+0.0878613
+0.117603
+0.117406
+0.11725
+0.117134
+0.117002
+0.11653
+0.116099
+0.115707
+0.115355
+0.115044
+0.114482
+0.11283
+0.111197
+0.109583
+0.107989
+0.106417
+0.104867
+0.10334
+0.101838
+0.10036
+0.0989095
+0.0974863
+0.096092
+0.0947279
+0.0933952
+0.0920945
+0.0908229
+0.0895869
+0.0883878
+0.0872274
+0.086107
+0.0850283
+0.0839929
+0.0830024
+0.0820584
+0.0811627
+0.0803167
+0.079522
+0.0787803
+0.078093
+0.0774616
+0.0768875
+0.0763719
+0.075916
+0.0755176
+0.0751791
+0.0739198
+0.0726642
+0.0714538
+0.0702908
+0.0691777
+0.0681168
+0.0671082
+0.0661479
+0.0652471
+0.0644082
+0.0636337
+0.0629259
+0.0622872
+0.0617197
+0.0612254
+0.0608057
+0.0604599
+0.060192
+0.0600029
+0.0598934
+0.0598639
+0.0599145
+0.0600451
+0.060254
+0.0605377
+0.0608989
+0.0613362
+0.0618482
+0.0624328
+0.0630881
+0.0638119
+0.064602
+0.0654558
+0.066371
+0.0673451
+0.0683754
+0.0694154
+0.0701351
+0.0709138
+0.0717509
+0.0726445
+0.0735924
+0.0745926
+0.0756414
+0.076728
+0.0778611
+0.0790386
+0.0802587
+0.0815195
+0.082819
+0.0841554
+0.0855271
+0.0869324
+0.0883696
+0.11866
+0.118464
+0.118309
+0.118194
+0.11812
+0.117849
+0.117422
+0.117034
+0.116686
+0.116379
+0.115092
+0.113449
+0.111824
+0.11022
+0.108636
+0.107073
+0.105533
+0.104015
+0.102523
+0.101056
+0.0996148
+0.0982018
+0.0968178
+0.0954641
+0.0941418
+0.0928516
+0.0915905
+0.090365
+0.0891764
+0.0880263
+0.0869162
+0.0858477
+0.0848223
+0.0838416
+0.0829072
+0.0820207
+0.0811837
+0.0803976
+0.079664
+0.0789844
+0.0783602
+0.0777927
+0.0772831
+0.0768327
+0.0764386
+0.0761042
+0.0749228
+0.0736844
+0.072491
+0.0713449
+0.0702485
+0.0692041
+0.0682115
+0.067267
+0.0663813
+0.0655569
+0.0647961
+0.0641013
+0.0634744
+0.0629176
+0.0624327
+0.0620207
+0.0616818
+0.0614191
+0.0612338
+0.0611265
+0.0610976
+0.0611472
+0.0612752
+0.0614804
+0.0617585
+0.0621126
+0.0625414
+0.0630436
+0.0636172
+0.0642604
+0.0649712
+0.0657473
+0.0665865
+0.0674864
+0.0684445
+0.0694368
+0.0701129
+0.0708255
+0.0715967
+0.0724259
+0.0733112
+0.0742506
+0.0752421
+0.0762837
+0.0773716
+0.0784954
+0.0796636
+0.0808742
+0.0821255
+0.0834156
+0.0847426
+0.0861049
+0.0875009
+0.088929
+0.119747
+0.119553
+0.119399
+0.119285
+0.119212
+0.119179
+0.11877
+0.118387
+0.118044
+0.117306
+0.11574
+0.114106
+0.112491
+0.110896
+0.109322
+0.107769
+0.106239
+0.104732
+0.10325
+0.101793
+0.100363
+0.0989607
+0.0975875
+0.0962445
+0.0949331
+0.0936538
+0.0924037
+0.091189
+0.0900114
+0.0888721
+0.0877727
+0.0867147
+0.0856997
+0.0847292
+0.0838047
+0.0829278
+0.0821
+0.0813228
+0.0805976
+0.079926
+0.0793092
+0.0787485
+0.0782451
+0.0777993
+0.0774089
+0.0770787
+0.0759758
+0.0747548
+0.0735788
+0.07245
+0.0713705
+0.0703427
+0.0693665
+0.0684379
+0.0675676
+0.0667578
+0.0660109
+0.0653289
+0.064714
+0.0641679
+0.0636926
+0.0632882
+0.0629561
+0.0626989
+0.0625173
+0.0624122
+0.0623839
+0.0624325
+0.0625578
+0.0627594
+0.0630318
+0.0633788
+0.0637991
+0.0642914
+0.064854
+0.0654851
+0.0661827
+0.0669448
+0.0677692
+0.0686535
+0.0695956
+0.0702025
+0.0708712
+0.0715763
+0.0723395
+0.0731603
+0.0740368
+0.0749672
+0.0759493
+0.0769813
+0.0780611
+0.0791852
+0.0803434
+0.081544
+0.0827851
+0.084065
+0.085382
+0.0867343
+0.0881203
+0.0895384
+0.120864
+0.120672
+0.120519
+0.120407
+0.120334
+0.120301
+0.120144
+0.119765
+0.11917
+0.11777
+0.116333
+0.114802
+0.113197
+0.111612
+0.110048
+0.108506
+0.106986
+0.10549
+0.104018
+0.102572
+0.101153
+0.0997619
+0.0983998
+0.0970681
+0.095768
+0.0945
+0.0932612
+0.0920579
+0.0908915
+0.0897634
+0.088675
+0.087628
+0.0866236
+0.0856636
+0.0847493
+0.0838822
+0.083064
+0.0822959
+0.0815794
+0.0809159
+0.0803066
+0.079753
+0.079256
+0.0788138
+0.0784284
+0.0781025
+0.0770767
+0.0758734
+0.074715
+0.0736036
+0.0725413
+0.0715304
+0.0705705
+0.069658
+0.0688031
+0.0680081
+0.0672751
+0.066606
+0.066003
+0.0654677
+0.0650019
+0.0646052
+0.0642799
+0.064028
+0.0638502
+0.0637473
+0.0637196
+0.0637672
+0.0638899
+0.0640873
+0.0643545
+0.0646944
+0.0651063
+0.0655888
+0.0661403
+0.0667593
+0.0674437
+0.0681917
+0.0690011
+0.0698699
+0.070421
+0.0710202
+0.0716813
+0.0723857
+0.0731404
+0.0739523
+0.0748196
+0.0757403
+0.0767125
+0.0777344
+0.0788039
+0.0799191
+0.0810767
+0.0822666
+0.083497
+0.0847662
+0.0860724
+0.087414
+0.0887894
+0.090197
+0.12201
+0.12182
+0.121669
+0.121557
+0.121485
+0.121452
+0.121459
+0.121084
+0.119667
+0.118273
+0.116858
+0.115426
+0.11394
+0.112366
+0.110812
+0.109281
+0.107772
+0.106287
+0.104826
+0.103392
+0.101984
+0.100604
+0.0992539
+0.0979338
+0.0966453
+0.095389
+0.0941619
+0.0929703
+0.0918154
+0.0906988
+0.0896218
+0.088586
+0.0875926
+0.0866433
+0.0857395
+0.0848825
+0.084074
+0.0833152
+0.0826075
+0.0819524
+0.0813509
+0.0808044
+0.0803137
+0.0798755
+0.0794952
+0.0791737
+0.0782235
+0.0770381
+0.0758975
+0.0748036
+0.0737586
+0.0727646
+0.0718213
+0.0709248
+0.0700854
+0.0693051
+0.0685859
+0.0679298
+0.0673386
+0.066814
+0.0663576
+0.0659687
+0.0656501
+0.0654035
+0.0652295
+0.0651287
+0.0651016
+0.0651482
+0.0652683
+0.0654615
+0.0657236
+0.0660565
+0.0664599
+0.0669326
+0.0674732
+0.06808
+0.0687513
+0.0694852
+0.0702798
+0.0707721
+0.0713011
+0.0718929
+0.0725461
+0.0732516
+0.0739975
+0.0748001
+0.0756577
+0.0765683
+0.0775301
+0.0785413
+0.0796
+0.0807043
+0.0818523
+0.0830407
+0.0842598
+0.0855177
+0.0868126
+0.0881429
+0.0895071
+0.0909037
+0.123184
+0.122996
+0.122846
+0.122736
+0.122664
+0.122632
+0.122639
+0.121613
+0.120201
+0.118814
+0.117422
+0.115996
+0.114594
+0.113157
+0.111614
+0.110094
+0.108596
+0.107123
+0.105674
+0.104251
+0.102855
+0.101487
+0.100149
+0.0988405
+0.097564
+0.0963196
+0.0951046
+0.0939249
+0.0927819
+0.0916771
+0.0906117
+0.0895873
+0.0886052
+0.0876668
+0.0867737
+0.0859271
+0.0851284
+0.0843791
+0.0836805
+0.0830337
+0.0824402
+0.0819009
+0.0814148
+0.0809825
+0.0806075
+0.0802904
+0.0794142
+0.0782468
+0.0771241
+0.0760479
+0.0750202
+0.0740431
+0.0731163
+0.0722359
+0.0714119
+0.0706462
+0.0699408
+0.0692975
+0.0687181
+0.0682041
+0.0677571
+0.0673758
+0.0670639
+0.0668225
+0.0666522
+0.0665536
+0.0665271
+0.0665726
+0.0666902
+0.0668793
+0.0671363
+0.0674622
+0.0678573
+0.0683204
+0.06885
+0.0694448
+0.070103
+0.0708229
+0.0712563
+0.0717148
+0.0722369
+0.0728211
+0.0734661
+0.0741701
+0.0749089
+0.0757018
+0.0765493
+0.0774494
+0.0784005
+0.0794006
+0.080448
+0.0815407
+0.0826771
+0.0838553
+0.0850722
+0.0863183
+0.0876014
+0.0889199
+0.0902724
+0.0916572
+0.124386
+0.124199
+0.124051
+0.123942
+0.123871
+0.123839
+0.123606
+0.122178
+0.120774
+0.119393
+0.11802
+0.116605
+0.115211
+0.113842
+0.112453
+0.110945
+0.109459
+0.107997
+0.10656
+0.105149
+0.103765
+0.102409
+0.101083
+0.099787
+0.0985228
+0.0972907
+0.0960879
+0.0949205
+0.0937897
+0.0926968
+0.0916433
+0.0906305
+0.0896599
+0.0887327
+0.0878503
+0.0870142
+0.0862256
+0.0854859
+0.0847964
+0.0841583
+0.0835727
+0.0830408
+0.0825593
+0.0821331
+0.0817633
+0.0814508
+0.0806467
+0.0794975
+0.0783927
+0.0773341
+0.0763238
+0.0753636
+0.0744532
+0.0735888
+0.0727801
+0.072029
+0.0713373
+0.0707067
+0.0701389
+0.0696354
+0.0691972
+0.0688239
+0.0685186
+0.0682823
+0.0681157
+0.0680192
+0.0679932
+0.0680378
+0.0681528
+0.0683379
+0.0685899
+0.0689089
+0.0692958
+0.0697493
+0.0702682
+0.0708511
+0.0714964
+0.0718709
+0.0722591
+0.0727113
+0.0732263
+0.0738027
+0.0744391
+0.0751341
+0.0758726
+0.0766556
+0.0774926
+0.0783819
+0.0793218
+0.0803104
+0.0813461
+0.0824269
+0.0835513
+0.0847173
+0.0859222
+0.0871584
+0.0884316
+0.0897402
+0.0910817
+0.0924544
+0.125614
+0.12543
+0.125283
+0.125175
+0.125105
+0.125073
+0.124201
+0.122781
+0.121383
+0.120009
+0.118651
+0.117251
+0.115865
+0.114504
+0.113168
+0.111832
+0.110358
+0.108908
+0.107483
+0.106084
+0.104713
+0.10337
+0.102056
+0.100772
+0.0995206
+0.098301
+0.0971108
+0.0959557
+0.0948373
+0.0937566
+0.0927152
+0.0917143
+0.0907552
+0.0898393
+0.0889679
+0.0881424
+0.087364
+0.086634
+0.0859537
+0.0853242
+0.0847467
+0.0842206
+0.0837455
+0.0833253
+0.0829609
+0.0826529
+0.0819194
+0.0807883
+0.0797013
+0.0786604
+0.0776673
+0.0767239
+0.0758298
+0.0749813
+0.0741878
+0.0734511
+0.0727729
+0.0721549
+0.0715986
+0.0711054
+0.0706759
+0.0703104
+0.0700116
+0.0697804
+0.0696173
+0.0695229
+0.0694975
+0.0695412
+0.0696537
+0.0698348
+0.0700819
+0.0703941
+0.0707728
+0.0712169
+0.0717252
+0.0722964
+0.0726126
+0.0729311
+0.0733137
+0.0737594
+0.0742671
+0.0748355
+0.0754632
+0.0761488
+0.0768855
+0.0776594
+0.0784857
+0.0793639
+0.0802923
+0.0812691
+0.0822927
+0.0833613
+0.0844732
+0.0856267
+0.086819
+0.0880426
+0.0893032
+0.0905992
+0.0919292
+0.0932916
+0.126869
+0.126686
+0.126541
+0.126434
+0.126364
+0.126268
+0.124832
+0.123419
+0.122028
+0.120661
+0.119316
+0.117932
+0.116557
+0.115204
+0.113877
+0.112577
+0.111292
+0.109855
+0.108443
+0.107057
+0.105698
+0.104367
+0.103066
+0.101795
+0.100556
+0.0993494
+0.0981718
+0.0970294
+0.0959235
+0.0948552
+0.093826
+0.092837
+0.0918896
+0.0909852
+0.0901249
+0.08931
+0.0885419
+0.0878218
+0.0871507
+0.0865299
+0.0859605
+0.08544
+0.0849717
+0.0845576
+0.0841984
+0.083895
+0.0832302
+0.0821172
+0.0810481
+0.0800246
+0.0790487
+0.078122
+0.0772441
+0.0764113
+0.0756328
+0.0749103
+0.0742454
+0.0736398
+0.0730948
+0.0726118
+0.0721907
+0.071833
+0.0715406
+0.0713143
+0.0711547
+0.0710624
+0.0710375
+0.0710802
+0.0711903
+0.0713675
+0.0716097
+0.0719153
+0.0722861
+0.072721
+0.0732188
+0.0734776
+0.0737273
+0.074041
+0.0744179
+0.074857
+0.0753573
+0.0759175
+0.0765364
+0.0772125
+0.0779361
+0.0787104
+0.0795268
+0.0803936
+0.0813103
+0.082275
+0.0832862
+0.0843422
+0.0854414
+0.086582
+0.0877613
+0.0889719
+0.0902195
+0.0915026
+0.0928196
+0.0941692
+0.128148
+0.127968
+0.127824
+0.127712
+0.127636
+0.126926
+0.125498
+0.124092
+0.122709
+0.12135
+0.120011
+0.118644
+0.117285
+0.115941
+0.114622
+0.113331
+0.112067
+0.110833
+0.109438
+0.108064
+0.106718
+0.105401
+0.104112
+0.102855
+0.101629
+0.100435
+0.0992699
+0.0981403
+0.097047
+0.0959913
+0.0949743
+0.0939974
+0.0930619
+0.0921689
+0.0913198
+0.0905157
+0.0897579
+0.0890476
+0.0883858
+0.0877738
+0.0872116
+0.0866975
+0.086236
+0.085828
+0.0854742
+0.0851753
+0.0845775
+0.0834824
+0.082431
+0.081425
+0.080466
+0.0795558
+0.0786939
+0.0778767
+0.077113
+0.0764045
+0.0757527
+0.0751592
+0.0746253
+0.0741522
+0.0737396
+0.0733894
+0.0731032
+0.0728818
+0.0727257
+0.0726353
+0.072611
+0.0726528
+0.0727605
+0.0729339
+0.0731713
+0.0734704
+0.0738333
+0.0742592
+0.0744614
+0.0746436
+0.0748894
+0.0751983
+0.0755694
+0.0760019
+0.0764947
+0.0770467
+0.0776565
+0.0783229
+0.0790335
+0.0797971
+0.080613
+0.0814693
+0.0823739
+0.0833264
+0.084325
+0.0853681
+0.0864542
+0.0875816
+0.0887476
+0.089945
+0.0911793
+0.0924491
+0.0937528
+0.0950891
+0.129453
+0.129269
+0.12912
+0.129008
+0.128932
+0.127619
+0.126198
+0.1248
+0.123425
+0.122074
+0.120736
+0.119392
+0.118047
+0.116714
+0.115405
+0.114122
+0.112868
+0.111642
+0.110446
+0.109107
+0.107774
+0.106469
+0.105194
+0.103949
+0.102736
+0.101555
+0.100404
+0.0992871
+0.0982065
+0.0971634
+0.0961588
+0.0951941
+0.0942704
+0.093389
+0.0925511
+0.0917578
+0.0910103
+0.0903099
+0.0896574
+0.0890541
+0.0884981
+0.0879916
+0.087537
+0.087135
+0.0867866
+0.0864922
+0.0859595
+0.0848823
+0.0838484
+0.0828596
+0.0819174
+0.0810235
+0.0801774
+0.0793754
+0.0786263
+0.0779315
+0.0772927
+0.076711
+0.076188
+0.0757247
+0.0753203
+0.0749775
+0.0746974
+0.0744807
+0.0743279
+0.0742396
+0.0742158
+0.0742566
+0.074362
+0.0745317
+0.0747644
+0.0750572
+0.0754125
+0.0755596
+0.0756757
+0.075855
+0.0760969
+0.0764009
+0.0767662
+0.077192
+0.0776772
+0.0782208
+0.0788216
+0.0794761
+0.0801757
+0.0809285
+0.0817331
+0.0825881
+0.0834815
+0.0844215
+0.0854073
+0.0864374
+0.0875102
+0.0886242
+0.0897767
+0.0909605
+0.0921812
+0.0934373
+0.0947274
+0.0960502
+0.13077
+0.130586
+0.130438
+0.130327
+0.129779
+0.128345
+0.126933
+0.125543
+0.124176
+0.122828
+0.121495
+0.120176
+0.118839
+0.117524
+0.116223
+0.11495
+0.113704
+0.112488
+0.111301
+0.110145
+0.108863
+0.107572
+0.10631
+0.105078
+0.103879
+0.102711
+0.101572
+0.100469
+0.0994008
+0.0983704
+0.0973783
+0.0964257
+0.095514
+0.0946441
+0.0938174
+0.0930349
+0.0922978
+0.0916072
+0.090964
+0.0903692
+0.0898197
+0.0893207
+0.0888729
+0.088477
+0.0881338
+0.087844
+0.0873746
+0.086315
+0.0852985
+0.0843267
+0.0834011
+0.0825233
+0.0816927
+0.0809057
+0.0801709
+0.0794897
+0.0788634
+0.0782932
+0.0777795
+0.0773236
+0.0769274
+0.0765918
+0.0763176
+0.0761055
+0.075956
+0.0758695
+0.0758463
+0.0758862
+0.0759894
+0.0761554
+0.0763839
+0.0766738
+0.0767572
+0.0768191
+0.0769333
+0.0771096
+0.0773476
+0.0776467
+0.0780061
+0.0784252
+0.0789029
+0.0794381
+0.0800297
+0.0806716
+0.0813608
+0.0821028
+0.082896
+0.0837391
+0.0846305
+0.0855587
+0.0865315
+0.0875484
+0.0886078
+0.0897081
+0.0908468
+0.0920169
+0.0932238
+0.094466
+0.0957423
+0.0970512
+0.132108
+0.131926
+0.13178
+0.131669
+0.13052
+0.129104
+0.1277
+0.126319
+0.124961
+0.123614
+0.122289
+0.12099
+0.119666
+0.118365
+0.117077
+0.115812
+0.114576
+0.113369
+0.112191
+0.111045
+0.109929
+0.108707
+0.107459
+0.106241
+0.105054
+0.1039
+0.102774
+0.101683
+0.100629
+0.0996109
+0.0986313
+0.0976909
+0.0967911
+0.0959328
+0.0951173
+0.0943456
+0.0936188
+0.092938
+0.0923041
+0.0917161
+0.0911748
+0.0906832
+0.0902421
+0.0898523
+0.0895144
+0.0892291
+0.0888179
+0.0877757
+0.0867763
+0.0858212
+0.0849119
+0.0840499
+0.0832366
+0.0824643
+0.0817414
+0.0810712
+0.0804551
+0.0798944
+0.0793901
+0.0789435
+0.0785554
+0.0782268
+0.0779583
+0.0777507
+0.0776044
+0.0775198
+0.077497
+0.0775361
+0.077637
+0.0777996
+0.0780233
+0.0780566
+0.078058
+0.0781197
+0.078232
+0.0784054
+0.0786394
+0.0789336
+0.0792873
+0.0796996
+0.0801696
+0.0806965
+0.081279
+0.0819082
+0.0825871
+0.0833182
+0.0840999
+0.084931
+0.08581
+0.0867354
+0.0876959
+0.0886995
+0.0897452
+0.0908318
+0.0919568
+0.0931129
+0.0943057
+0.0955339
+0.0967961
+0.098091
+0.1045
+0.102842
+0.101204
+0.0995878
+0.0979937
+0.096423
+0.0948769
+0.0933567
+0.0918635
+0.0903987
+0.0889637
+0.0875601
+0.0861893
+0.0848529
+0.0835526
+0.08229
+0.081067
+0.0798854
+0.0787381
+0.0776352
+0.0765791
+0.0755718
+0.0746152
+0.0737113
+0.0728621
+0.0720695
+0.0713354
+0.0706616
+0.0700499
+0.0695018
+0.069019
+0.0686028
+0.0682543
+0.0679747
+0.0677648
+0.0676253
+0.0675566
+0.0675588
+0.0676321
+0.0677761
+0.0679905
+0.0682744
+0.0686272
+0.0690403
+0.069514
+0.070053
+0.0706559
+0.071321
+0.0720466
+0.0728309
+0.073672
+0.074568
+0.075517
+0.0765169
+0.0775658
+0.0786617
+0.0798028
+0.080987
+0.0822125
+0.0834776
+0.0847804
+0.0861185
+0.0874844
+0.0888832
+0.0903135
+0.0917739
+0.0932628
+0.0947789
+0.0963211
+0.0978879
+0.0994784
+0.101091
+0.102726
+0.10438
+0.106054
+0.107705
+0.108844
+0.110014
+0.111209
+0.112431
+0.113683
+0.114963
+0.116271
+0.117604
+0.118943
+0.120303
+0.121687
+0.123092
+0.124505
+0.125941
+0.127398
+0.128876
+0.130374
+0.131892
+0.133428
+0.134982
+0.136554
+0.138143
+0.139747
+0.141058
+0.103694
+0.102023
+0.100372
+0.0987418
+0.0971338
+0.095549
+0.0939885
+0.0924536
+0.0909456
+0.0894658
+0.0880157
+0.0865966
+0.0852103
+0.0838583
+0.0825423
+0.0812641
+0.0800254
+0.0788282
+0.0776743
+0.0765574
+0.0754862
+0.0744641
+0.0734931
+0.0725752
+0.0717125
+0.0709071
+0.0701608
+0.0694756
+0.0688534
+0.0682957
+0.0678043
+0.0673805
+0.0670258
+0.066741
+0.0665273
+0.0663851
+0.0663151
+0.0663174
+0.066392
+0.0665387
+0.066757
+0.0670463
+0.0674055
+0.0678279
+0.06831
+0.0688585
+0.0694718
+0.0701481
+0.0708857
+0.0716827
+0.0725371
+0.073447
+0.0744102
+0.0754248
+0.0764887
+0.0775998
+0.0787563
+0.079956
+0.0811971
+0.0824777
+0.0837961
+0.0851497
+0.0865308
+0.0879448
+0.0893902
+0.0908653
+0.0923689
+0.0938995
+0.0954558
+0.0970367
+0.0986408
+0.100267
+0.101915
+0.103582
+0.104885
+0.106009
+0.107165
+0.108353
+0.109573
+0.110815
+0.112085
+0.113383
+0.114708
+0.116041
+0.117393
+0.118771
+0.120165
+0.121584
+0.123017
+0.12447
+0.125945
+0.127439
+0.128954
+0.130488
+0.132041
+0.133611
+0.135199
+0.136803
+0.138423
+0.139853
+0.102928
+0.101245
+0.0995807
+0.0979375
+0.0963161
+0.0947176
+0.0931432
+0.0915941
+0.0900717
+0.0885773
+0.0871124
+0.0856784
+0.084277
+0.0829098
+0.0815785
+0.0802849
+0.0790309
+0.0778183
+0.0766492
+0.0755256
+0.0744417
+0.073405
+0.0724198
+0.0714882
+0.0706122
+0.0697941
+0.0690358
+0.0683393
+0.0677066
+0.0671394
+0.0666395
+0.0662083
+0.0658472
+0.0655573
+0.0653397
+0.065195
+0.0651237
+0.065126
+0.065202
+0.0653514
+0.0655736
+0.065868
+0.0662336
+0.0666655
+0.067156
+0.0677138
+0.0683373
+0.0690248
+0.0697743
+0.0705838
+0.0714514
+0.0723749
+0.0733522
+0.0743812
+0.0754598
+0.0765859
+0.0777574
+0.0789723
+0.0802286
+0.0815245
+0.082858
+0.0842267
+0.0856227
+0.0870515
+0.0885114
+0.090001
+0.0915187
+0.0930633
+0.0946334
+0.0962278
+0.0978452
+0.0994845
+0.101009
+0.102081
+0.103188
+0.10433
+0.105505
+0.106711
+0.107942
+0.109204
+0.110494
+0.111813
+0.113149
+0.11449
+0.115853
+0.117242
+0.118655
+0.120091
+0.121549
+0.123021
+0.124512
+0.126024
+0.127556
+0.129106
+0.130675
+0.132258
+0.133857
+0.135472
+0.137104
+0.138672
+0.102204
+0.100508
+0.0988318
+0.0971759
+0.0955416
+0.0939299
+0.0923421
+0.0907793
+0.089243
+0.0877345
+0.0862553
+0.0848068
+0.0833907
+0.0820088
+0.0806626
+0.0793541
+0.0780851
+0.0768576
+0.0756737
+0.0745354
+0.0734447
+0.0723968
+0.0713977
+0.0704525
+0.0695635
+0.0687329
+0.0679628
+0.0672552
+0.0666122
+0.0660356
+0.0655272
+0.0650887
+0.0647213
+0.0644264
+0.0642049
+0.0640576
+0.0639851
+0.0639874
+0.0640648
+0.0642168
+0.064443
+0.0647425
+0.0651145
+0.0655558
+0.0660545
+0.0666215
+0.0672552
+0.0679536
+0.0687147
+0.0695366
+0.0704171
+0.071354
+0.0723451
+0.0733882
+0.0744812
+0.0756219
+0.0768081
+0.0780377
+0.0793089
+0.0806195
+0.0819678
+0.0833511
+0.0847615
+0.0862046
+0.0876786
+0.0891821
+0.0907135
+0.0922716
+0.0938549
+0.0954623
+0.0970924
+0.0982407
+0.0992944
+0.100385
+0.101511
+0.102671
+0.103861
+0.10508
+0.10633
+0.107611
+0.10892
+0.110257
+0.11159
+0.112946
+0.114328
+0.115734
+0.117165
+0.118619
+0.120096
+0.121594
+0.123099
+0.124623
+0.126167
+0.12773
+0.12931
+0.130909
+0.132524
+0.134155
+0.135803
+0.137465
+0.101522
+0.0998143
+0.0981261
+0.0964581
+0.0948114
+0.0931871
+0.0915864
+0.0900105
+0.0884609
+0.0869388
+0.0854458
+0.0839833
+0.0825531
+0.0811569
+0.0797964
+0.0784734
+0.07719
+0.075948
+0.0747497
+0.073597
+0.0724923
+0.0714376
+0.0704288
+0.0694705
+0.0685688
+0.067726
+0.0669442
+0.0662258
+0.0655727
+0.0649869
+0.0644703
+0.0640244
+0.063651
+0.0633511
+0.0631258
+0.062976
+0.0629022
+0.0629046
+0.0629833
+0.0631379
+0.0633679
+0.0636725
+0.0640507
+0.0645001
+0.065007
+0.0655831
+0.0662267
+0.0669358
+0.0677084
+0.0685424
+0.0694354
+0.0703854
+0.07139
+0.0724468
+0.0735538
+0.0747086
+0.0759091
+0.0771531
+0.0784386
+0.0797636
+0.081126
+0.0825237
+0.0839487
+0.0854054
+0.086893
+0.0884099
+0.0899545
+0.0915255
+0.0931215
+0.0944984
+0.0954928
+0.0965267
+0.0975988
+0.0987079
+0.0998528
+0.101025
+0.102231
+0.10347
+0.104739
+0.106039
+0.107367
+0.108701
+0.110049
+0.111423
+0.112824
+0.114249
+0.115698
+0.11717
+0.118665
+0.120167
+0.121688
+0.123229
+0.12479
+0.12637
+0.127967
+0.129582
+0.131214
+0.132861
+0.134519
+0.136185
+0.100882
+0.099164
+0.0974645
+0.095785
+0.0941265
+0.0924902
+0.0908772
+0.0892889
+0.0877264
+0.0861914
+0.0846852
+0.0832094
+0.0817657
+0.0803557
+0.0789814
+0.0776446
+0.0763472
+0.0750913
+0.0738791
+0.0727126
+0.0715942
+0.0705262
+0.069508
+0.0685368
+0.0676226
+0.0667678
+0.0659747
+0.0652456
+0.0645826
+0.0639877
+0.063463
+0.06301
+0.0626305
+0.0623257
+0.0620967
+0.0619444
+0.0618694
+0.0618718
+0.0619518
+0.062109
+0.0623428
+0.0626524
+0.0630367
+0.063494
+0.0640097
+0.0645947
+0.0652481
+0.0659677
+0.0667516
+0.0675973
+0.0685027
+0.0694654
+0.0704831
+0.0715534
+0.0726739
+0.0738425
+0.0750569
+0.0763148
+0.0776141
+0.0789529
+0.0803291
+0.0817409
+0.0831854
+0.0846555
+0.086156
+0.0876856
+0.0892427
+0.090826
+0.0917952
+0.0927669
+0.0937797
+0.0948322
+0.0959233
+0.0970489
+0.098206
+0.0993979
+0.100623
+0.101881
+0.10317
+0.10449
+0.105823
+0.107163
+0.10853
+0.109923
+0.111343
+0.112787
+0.114254
+0.115745
+0.117241
+0.11876
+0.120299
+0.121858
+0.123436
+0.125033
+0.126647
+0.128278
+0.129926
+0.131578
+0.133245
+0.134927
+0.100287
+0.0985581
+0.096848
+0.0951576
+0.093488
+0.0918403
+0.0902157
+0.0886155
+0.087041
+0.0854936
+0.0839749
+0.0824864
+0.0810298
+0.0796068
+0.0782193
+0.0768692
+0.0755586
+0.0742894
+0.0730638
+0.0718841
+0.0707526
+0.0696717
+0.0686408
+0.0676571
+0.0667309
+0.0658646
+0.0650605
+0.064321
+0.0636484
+0.0630447
+0.062512
+0.0620521
+0.0616667
+0.0613571
+0.0611245
+0.0609698
+0.0608935
+0.060896
+0.0609773
+0.061137
+0.0613745
+0.061689
+0.0620792
+0.0625437
+0.0630728
+0.0636664
+0.0643292
+0.065059
+0.0658537
+0.0667108
+0.0676281
+0.0686031
+0.0696333
+0.0707165
+0.0718501
+0.0730319
+0.0742595
+0.0755307
+0.0768433
+0.0781953
+0.0795846
+0.0810093
+0.0824677
+0.083956
+0.0854688
+0.0870105
+0.0882147
+0.0891178
+0.0900651
+0.0910552
+0.0920868
+0.0931585
+0.0942632
+0.0954039
+0.0965807
+0.0977925
+0.0990379
+0.100316
+0.101615
+0.102933
+0.104275
+0.105646
+0.107034
+0.108447
+0.109885
+0.111348
+0.112829
+0.114322
+0.115837
+0.117374
+0.118931
+0.120507
+0.122103
+0.123717
+0.125348
+0.126993
+0.128645
+0.130313
+0.131996
+0.133694
+0.0997359
+0.0979974
+0.0962774
+0.0945768
+0.0928967
+0.0912384
+0.0896028
+0.0879915
+0.0864056
+0.0848467
+0.0833162
+0.0818157
+0.0803469
+0.0789116
+0.0775117
+0.0761491
+0.0748258
+0.0735439
+0.0723057
+0.0711135
+0.0699695
+0.0688763
+0.0678333
+0.0668378
+0.0659001
+0.0650226
+0.064208
+0.0634586
+0.0627767
+0.0621646
+0.0616243
+0.0611577
+0.0607666
+0.0604524
+0.0602163
+0.0600592
+0.0599818
+0.0599844
+0.0600669
+0.060229
+0.0604701
+0.0607892
+0.0611852
+0.0616565
+0.062199
+0.0628009
+0.0634727
+0.0642123
+0.0650173
+0.0658853
+0.0668139
+0.0678006
+0.0688429
+0.0699382
+0.0710843
+0.0722786
+0.0735187
+0.0748025
+0.0761277
+0.0774922
+0.0788939
+0.0803309
+0.0818013
+0.0833034
+0.0847585
+0.0855877
+0.086463
+0.0873845
+0.0883507
+0.0893601
+0.0904114
+0.0914977
+0.0926206
+0.0937812
+0.0949781
+0.0962101
+0.0974663
+0.0987433
+0.100051
+0.101385
+0.102748
+0.104139
+0.105557
+0.106995
+0.108452
+0.109924
+0.111413
+0.112924
+0.114458
+0.116013
+0.117588
+0.119182
+0.120795
+0.122426
+0.124068
+0.12572
+0.127388
+0.129072
+0.130771
+0.132484
+0.0992303
+0.0974828
+0.0957535
+0.0940434
+0.0923537
+0.0906854
+0.0890397
+0.087418
+0.0858215
+0.0842517
+0.0827102
+0.0811985
+0.0797184
+0.0782716
+0.07686
+0.0754856
+0.0741505
+0.0728567
+0.0716067
+0.0704026
+0.0692469
+0.0681421
+0.0670877
+0.0660809
+0.0651323
+0.0642444
+0.0634198
+0.0626609
+0.0619702
+0.0613501
+0.0608025
+0.0603296
+0.0599331
+0.0596145
+0.0593751
+0.0592158
+0.0591373
+0.0591399
+0.0592235
+0.0593879
+0.0596324
+0.059956
+0.0603575
+0.0608352
+0.0613874
+0.0620007
+0.0626811
+0.0634299
+0.0642447
+0.065123
+0.0660623
+0.0670601
+0.0681137
+0.0692206
+0.0703783
+0.0715844
+0.0728364
+0.074132
+0.0754689
+0.0768451
+0.0782584
+0.0797069
+0.0811886
+0.0821902
+0.082987
+0.0838322
+0.0847256
+0.0856657
+0.0866511
+0.0876801
+0.0887513
+0.0898579
+0.091001
+0.092182
+0.0933898
+0.0946205
+0.0958854
+0.0971831
+0.0985069
+0.0998609
+0.101244
+0.102656
+0.104094
+0.105558
+0.107029
+0.108513
+0.110021
+0.111552
+0.113104
+0.114677
+0.11627
+0.117882
+0.119513
+0.121151
+0.122803
+0.124472
+0.126157
+0.127857
+0.129572
+0.131301
+0.0987707
+0.0970149
+0.0952771
+0.0935583
+0.0918597
+0.0901822
+0.0885272
+0.0868959
+0.0852896
+0.0837099
+0.0821582
+0.0806362
+0.0791456
+0.0776881
+0.0762657
+0.0748804
+0.0735343
+0.0722295
+0.0709684
+0.0697533
+0.0685867
+0.067471
+0.066406
+0.0653887
+0.0644299
+0.0635322
+0.0626982
+0.0619305
+0.0612316
+0.0606038
+0.0600495
+0.0595706
+0.059169
+0.0588463
+0.0586037
+0.0584423
+0.0583628
+0.0583654
+0.0584502
+0.0586168
+0.0588645
+0.0591923
+0.0595988
+0.0600826
+0.0606416
+0.0612684
+0.0619568
+0.0627143
+0.0635383
+0.0644262
+0.0653755
+0.0663836
+0.0674478
+0.0685655
+0.0697341
+0.0709511
+0.0722141
+0.0735206
+0.0748685
+0.0762555
+0.0776795
+0.0789189
+0.0796496
+0.0804214
+0.0812343
+0.0820975
+0.0830096
+0.083969
+0.084974
+0.0860231
+0.0871146
+0.088242
+0.0893959
+0.0905748
+0.0917909
+0.0930427
+0.0943288
+0.0956427
+0.0969873
+0.0983622
+0.0997663
+0.101198
+0.102657
+0.104142
+0.105625
+0.107129
+0.108656
+0.110206
+0.111777
+0.113368
+0.114979
+0.116608
+0.118243
+0.119895
+0.121564
+0.12325
+0.124951
+0.126668
+0.128399
+0.130143
+0.0983577
+0.0965944
+0.0948489
+0.0931223
+0.0914155
+0.0897297
+0.0880662
+0.0864262
+0.0848111
+0.0832223
+0.0816613
+0.0801299
+0.0786296
+0.0771624
+0.0757301
+0.0743348
+0.0729787
+0.0716638
+0.0703925
+0.0691673
+0.0679906
+0.066865
+0.0657902
+0.0647632
+0.063795
+0.0628882
+0.0620456
+0.0612697
+0.0605632
+0.0599285
+0.0593678
+0.0588834
+0.0584771
+0.0581505
+0.057905
+0.0577417
+0.0576611
+0.0576638
+0.0577496
+0.0579182
+0.0581689
+0.0585006
+0.0589119
+0.0594012
+0.0599667
+0.060606
+0.0613024
+0.0620678
+0.0629002
+0.0637971
+0.0647556
+0.0657732
+0.0668471
+0.0679747
+0.0691532
+0.0703803
+0.0716534
+0.07297
+0.0743278
+0.0757247
+0.0764445
+0.0771364
+0.0778838
+0.0786726
+0.0795033
+0.0803852
+0.0813165
+0.0822956
+0.0833208
+0.0843904
+0.0854942
+0.0866156
+0.0877773
+0.0889778
+0.0902156
+0.091489
+0.0927936
+0.0941279
+0.0954937
+0.0968899
+0.098315
+0.0997679
+0.101247
+0.10275
+0.104249
+0.105772
+0.107319
+0.108887
+0.110477
+0.112087
+0.113711
+0.115345
+0.116997
+0.118667
+0.120353
+0.122055
+0.123773
+0.125506
+0.127252
+0.129012
+0.097992
+0.096222
+0.0944696
+0.0927359
+0.0910219
+0.0893287
+0.0876576
+0.0860098
+0.0843867
+0.0827897
+0.0812205
+0.0796805
+0.0781716
+0.0766957
+0.0752545
+0.0738503
+0.072485
+0.071161
+0.0698806
+0.0686463
+0.0674605
+0.0663259
+0.0652422
+0.0642065
+0.0632297
+0.0623147
+0.0614642
+0.0606809
+0.0599674
+0.0593263
+0.0587599
+0.0582705
+0.0578598
+0.0575298
+0.0572816
+0.0571165
+0.0570351
+0.0570378
+0.0571245
+0.0572949
+0.0575483
+0.0578836
+0.0582993
+0.0587937
+0.0593649
+0.0600107
+0.0607199
+0.0614926
+0.0623327
+0.0632376
+0.0642045
+0.0652307
+0.0663134
+0.0674499
+0.0686375
+0.0698736
+0.0711557
+0.0724813
+0.0734265
+0.074017
+0.0746671
+0.0753753
+0.07614
+0.0769464
+0.0777955
+0.0786965
+0.0796476
+0.0806372
+0.0816728
+0.0827524
+0.0838533
+0.0849963
+0.0861799
+0.0874023
+0.088662
+0.0899575
+0.0912841
+0.0926401
+0.0940275
+0.0954451
+0.0968915
+0.0983654
+0.0998656
+0.10138
+0.102901
+0.104444
+0.106009
+0.107597
+0.109206
+0.110824
+0.112458
+0.11411
+0.115779
+0.117466
+0.11917
+0.120889
+0.122623
+0.124371
+0.126134
+0.127897
+0.0976723
+0.0958981
+0.0941398
+0.0923999
+0.0906795
+0.0889798
+0.087302
+0.0856474
+0.0840173
+0.0824132
+0.0808366
+0.0792892
+0.0777727
+0.076289
+0.0748401
+0.0734279
+0.0720546
+0.0707226
+0.0694341
+0.0681916
+0.0669978
+0.0658552
+0.0647637
+0.0637202
+0.0627359
+0.0618136
+0.0609561
+0.0601661
+0.0594465
+0.0587997
+0.0582282
+0.0577342
+0.0573197
+0.0569865
+0.056736
+0.0565693
+0.0564871
+0.0564898
+0.0565774
+0.0567495
+0.0570053
+0.0573437
+0.0577633
+0.0582623
+0.0588386
+0.0594901
+0.0602058
+0.060985
+0.061832
+0.0627441
+0.0637185
+0.0647524
+0.065843
+0.0669874
+0.0681831
+0.0694273
+0.070616
+0.0710985
+0.0716413
+0.0722464
+0.0729123
+0.0736374
+0.0744168
+0.0752304
+0.0760983
+0.0770089
+0.0779696
+0.0789794
+0.0800365
+0.0811152
+0.0822379
+0.0834031
+0.0846089
+0.0858538
+0.0871359
+0.0884537
+0.0898026
+0.0911806
+0.09259
+0.0940292
+0.095497
+0.0969869
+0.0984953
+0.100029
+0.101582
+0.103145
+0.10473
+0.106336
+0.10795
+0.109582
+0.111233
+0.112903
+0.114591
+0.116295
+0.118015
+0.119751
+0.121485
+0.123223
+0.124976
+0.126742
+0.097393
+0.0956137
+0.0938517
+0.0921082
+0.0903841
+0.0886806
+0.0869989
+0.0853397
+0.0837036
+0.0820933
+0.0805105
+0.0789567
+0.0774338
+0.0759434
+0.0744878
+0.0730688
+0.0716886
+0.0703496
+0.0690542
+0.0678048
+0.066604
+0.0654546
+0.0643562
+0.063306
+0.0623152
+0.0613865
+0.060523
+0.0597273
+0.0590023
+0.0583506
+0.0577747
+0.0572768
+0.056859
+0.056523
+0.0562705
+0.0561023
+0.0560195
+0.0560222
+0.0561105
+0.056284
+0.0565419
+0.0568831
+0.0573061
+0.057809
+0.0583898
+0.0590463
+0.0597673
+0.0605521
+0.0614051
+0.0623235
+0.0633043
+0.0643449
+0.0654422
+0.0665936
+0.0677962
+0.0683896
+0.0688271
+0.0693226
+0.0698791
+0.0704993
+0.0711816
+0.0719078
+0.0726835
+0.0735163
+0.0744042
+0.075335
+0.0763168
+0.0773482
+0.0784039
+0.0795046
+0.0806498
+0.0818375
+0.0830661
+0.0843337
+0.0856386
+0.0869791
+0.0883506
+0.0897509
+0.0911823
+0.0926435
+0.0941207
+0.0956242
+0.0971537
+0.0987082
+0.100286
+0.101876
+0.103477
+0.105087
+0.106719
+0.108369
+0.110039
+0.111727
+0.113432
+0.115133
+0.116842
+0.118567
+0.120308
+0.122063
+0.123831
+0.125613
+0.0971624
+0.0953787
+0.0936124
+0.0918643
+0.0901355
+0.0884273
+0.0867407
+0.0850771
+0.0834378
+0.0818244
+0.0802383
+0.0786813
+0.077155
+0.0756597
+0.0741985
+0.0727738
+0.071388
+0.0700432
+0.068742
+0.0674869
+0.0662804
+0.0651252
+0.0640211
+0.0629654
+0.0619691
+0.0610352
+0.0601666
+0.0593662
+0.0586367
+0.0579809
+0.0574012
+0.0569
+0.0564795
+0.0561413
+0.055887
+0.0557177
+0.0556342
+0.055637
+0.0557259
+0.0559006
+0.0561603
+0.0565038
+0.0569296
+0.0574358
+0.0580204
+0.0586809
+0.0594064
+0.0601959
+0.0610539
+0.0619774
+0.0629637
+0.0640098
+0.0651128
+0.0659208
+0.0662333
+0.0666129
+0.067062
+0.067571
+0.0681418
+0.0687738
+0.0694464
+0.0701809
+0.0709755
+0.0718282
+0.0727365
+0.0736882
+0.0746917
+0.0757224
+0.076799
+0.0779223
+0.0790904
+0.0803012
+0.081553
+0.0828437
+0.0841717
+0.0855352
+0.0869295
+0.0883509
+0.0898002
+0.0912697
+0.0927676
+0.0942926
+0.0958434
+0.0974188
+0.0990176
+0.100618
+0.102224
+0.103851
+0.105499
+0.107166
+0.108847
+0.110526
+0.112221
+0.113932
+0.115659
+0.117402
+0.119159
+0.120931
+0.122716
+0.124514
+0.0969807
+0.0951937
+0.0934238
+0.0916721
+0.0899397
+0.0882276
+0.0865371
+0.0848695
+0.0832262
+0.0816086
+0.0800182
+0.0784568
+0.0769261
+0.075428
+0.0739644
+0.0725375
+0.0711494
+0.0698024
+0.0684986
+0.0672388
+0.0660278
+0.0648681
+0.0637596
+0.0626995
+0.0616989
+0.0607608
+0.0598883
+0.0590841
+0.0583511
+0.057692
+0.0571094
+0.0566057
+0.0561829
+0.0558429
+0.0555872
+0.055417
+0.0553331
+0.0553359
+0.0554253
+0.0556009
+0.055862
+0.0562073
+0.0566353
+0.0571442
+0.0577317
+0.0583955
+0.0591245
+0.0599177
+0.0607796
+0.0617073
+0.0626978
+0.0636733
+0.0638729
+0.0641467
+0.0644716
+0.0648509
+0.0652988
+0.0658165
+0.0663996
+0.0670378
+0.0677276
+0.0684806
+0.0692947
+0.0701678
+0.0710971
+0.0720704
+0.0730737
+0.0741241
+0.0752236
+0.0763701
+0.0775615
+0.0787959
+0.0800712
+0.0813854
+0.0827368
+0.0841227
+0.0855325
+0.0869731
+0.0884353
+0.089927
+0.0914469
+0.0929936
+0.0945657
+0.0961506
+0.0977319
+0.0993364
+0.100963
+0.10261
+0.104278
+0.105945
+0.107624
+0.10932
+0.111032
+0.112761
+0.114506
+0.116266
+0.11804
+0.119828
+0.121629
+0.123443
+0.0968482
+0.0950587
+0.0932863
+0.091532
+0.0897968
+0.088082
+0.0863887
+0.0847181
+0.0830718
+0.0814511
+0.0798576
+0.078293
+0.0767591
+0.0752576
+0.0737906
+0.0723603
+0.0709687
+0.0696183
+0.0683114
+0.0670506
+0.0658387
+0.0646782
+0.063572
+0.0625093
+0.0615056
+0.0605645
+0.0596891
+0.0588822
+0.0581466
+0.0574852
+0.0569005
+0.0563949
+0.0559705
+0.0556292
+0.0553726
+0.0552017
+0.0551175
+0.0551203
+0.05521
+0.0553864
+0.0556484
+0.0559951
+0.0564247
+0.0569354
+0.057525
+0.0581913
+0.0589227
+0.0597187
+0.0605834
+0.061514
+0.0617771
+0.0619042
+0.0621084
+0.0623711
+0.0626836
+0.0630708
+0.0635312
+0.0640632
+0.0646598
+0.0653226
+0.0660368
+0.0668089
+0.0676431
+0.0685372
+0.0694882
+0.0704618
+0.0714834
+0.0725567
+0.0736796
+0.0748498
+0.0760651
+0.0773233
+0.0786225
+0.0799605
+0.0813347
+0.082734
+0.084165
+0.0856191
+0.087104
+0.0886181
+0.0901601
+0.0917276
+0.0932811
+0.0948596
+0.0964622
+0.0980874
+0.0997343
+0.101394
+0.103054
+0.104733
+0.106429
+0.108143
+0.109874
+0.111621
+0.113383
+0.11516
+0.116951
+0.118756
+0.120573
+0.122402
+0.0967652
+0.0949741
+0.0932001
+0.0914441
+0.0897073
+0.0879907
+0.0862956
+0.0846232
+0.082975
+0.0813524
+0.0797569
+0.0781903
+0.0766543
+0.0751507
+0.0736816
+0.0722491
+0.0708554
+0.0695027
+0.0681936
+0.0669307
+0.0657165
+0.0645538
+0.0634455
+0.0623944
+0.0613899
+0.060447
+0.0595699
+0.0587613
+0.0580242
+0.0573614
+0.0567754
+0.0562687
+0.0558434
+0.0555013
+0.055244
+0.0550728
+0.0549884
+0.0549911
+0.0550811
+0.0552579
+0.0555205
+0.055868
+0.0562985
+0.0568104
+0.0574013
+0.058069
+0.058802
+0.0595995
+0.0599929
+0.059964
+0.060015
+0.0601458
+0.0603422
+0.0605973
+0.060919
+0.0613173
+0.0617907
+0.062337
+0.062948
+0.0636287
+0.0643761
+0.0651679
+0.0660228
+0.0669386
+0.0678856
+0.0688808
+0.0699255
+0.0710224
+0.0721692
+0.0733634
+0.0746029
+0.0758854
+0.0772087
+0.07857
+0.0799577
+0.081378
+0.0828231
+0.0843003
+0.085808
+0.0873446
+0.0888773
+0.0904266
+0.092002
+0.0936022
+0.0952259
+0.0968719
+0.0985153
+0.100175
+0.101854
+0.103551
+0.105266
+0.106998
+0.108747
+0.110512
+0.112292
+0.114086
+0.115893
+0.117714
+0.119547
+0.121392
+0.0967317
+0.09494
+0.0931653
+0.0914087
+0.0896712
+0.0879539
+0.086258
+0.0845849
+0.082936
+0.0813126
+0.0797163
+0.0781489
+0.076612
+0.0751076
+0.0736377
+0.0722043
+0.0708096
+0.0694561
+0.0681461
+0.0668823
+0.0656672
+0.0645036
+0.0633944
+0.0623425
+0.0613508
+0.0604088
+0.0595311
+0.058722
+0.0579844
+0.0573211
+0.0567347
+0.0562276
+0.055802
+0.0554597
+0.0552022
+0.0550308
+0.0549463
+0.0549491
+0.0550392
+0.055216
+0.0554789
+0.0558266
+0.0562575
+0.0567697
+0.0573611
+0.0580292
+0.0585432
+0.0583714
+0.0582593
+0.0582295
+0.058282
+0.0584054
+0.0585913
+0.0588516
+0.0591828
+0.0595927
+0.0600797
+0.0606389
+0.0612668
+0.0619659
+0.0627338
+0.06356
+0.0644363
+0.0653462
+0.0663157
+0.067334
+0.0684023
+0.0695232
+0.0706943
+0.0719131
+0.0731771
+0.0744842
+0.075831
+0.0772058
+0.0786143
+0.0800493
+0.0815179
+0.0830183
+0.084528
+0.0860441
+0.0875888
+0.0891605
+0.0907579
+0.0923796
+0.0940128
+0.0956506
+0.09731
+0.0989878
+0.100685
+0.102401
+0.104135
+0.105886
+0.107653
+0.109436
+0.111233
+0.113044
+0.114868
+0.116704
+0.118553
+0.120413
+0.0967479
+0.0949564
+0.0931821
+0.0914258
+0.0896886
+0.0879716
+0.0862761
+0.0846034
+0.0829548
+0.0813318
+0.0797359
+0.0781688
+0.0766324
+0.0751284
+0.0736589
+0.0722259
+0.0708317
+0.0694786
+0.068169
+0.0669056
+0.0656909
+0.0645278
+0.063419
+0.0623675
+0.0613762
+0.0604481
+0.0595729
+0.0587644
+0.0580273
+0.0573645
+0.0567786
+0.0562719
+0.0558466
+0.0555045
+0.0552473
+0.055076
+0.0549916
+0.0549944
+0.0550844
+0.0552611
+0.0555238
+0.0558712
+0.0563017
+0.0568135
+0.0574045
+0.0570958
+0.0568462
+0.0566693
+0.0565574
+0.0565267
+0.0565721
+0.0566794
+0.0568709
+0.0571366
+0.0574776
+0.0578996
+0.0584008
+0.0589732
+0.0596187
+0.0603369
+0.0611252
+0.0619809
+0.0628568
+0.063789
+0.0647818
+0.0658237
+0.0669161
+0.0680616
+0.0692574
+0.0705009
+0.0717899
+0.0731208
+0.0744811
+0.0758764
+0.0773001
+0.0787591
+0.080242
+0.0817202
+0.0832298
+0.0847691
+0.0863366
+0.0879307
+0.08955
+0.0911645
+0.0928009
+0.0944585
+0.0961361
+0.097834
+0.0995512
+0.101287
+0.103039
+0.104809
+0.106594
+0.108393
+0.110207
+0.112035
+0.113875
+0.115727
+0.117592
+0.119433
+0.0968085
+0.0950234
+0.0932503
+0.0914953
+0.0897594
+0.0880439
+0.0863498
+0.0846785
+0.0830314
+0.0814099
+0.0798156
+0.0782502
+0.0767153
+0.075213
+0.0737451
+0.0723139
+0.0709214
+0.06957
+0.0682622
+0.0670006
+0.0657877
+0.0646263
+0.0635192
+0.0624694
+0.0614798
+0.0605532
+0.0596845
+0.0588775
+0.0581419
+0.0574805
+0.0568957
+0.0563901
+0.0559656
+0.0556243
+0.0553676
+0.0551968
+0.0551125
+0.0551153
+0.0552051
+0.0553814
+0.0556435
+0.0559902
+0.0564198
+0.0562048
+0.0557786
+0.0554357
+0.0551758
+0.0549886
+0.0548883
+0.0548526
+0.0548759
+0.0549865
+0.0551839
+0.0554526
+0.0558039
+0.0562385
+0.0567543
+0.0573429
+0.0580065
+0.0587444
+0.0595538
+0.0604238
+0.0613147
+0.0622699
+0.0632865
+0.0643526
+0.0654695
+0.0666398
+0.0678607
+0.0691294
+0.0704425
+0.0717868
+0.0731643
+0.0745718
+0.0760164
+0.0774648
+0.0789341
+0.0804363
+0.0819696
+0.0835321
+0.0851224
+0.086723
+0.0883331
+0.0899676
+0.091623
+0.0933002
+0.0949982
+0.0967161
+0.0984528
+0.100207
+0.101979
+0.103766
+0.105568
+0.107385
+0.109216
+0.11106
+0.112916
+0.114759
+0.116601
+0.118454
+0.0969141
+0.0951323
+0.0933678
+0.0916172
+0.0898837
+0.0881705
+0.0864789
+0.0848102
+0.0831657
+0.0815469
+0.0799553
+0.0783926
+0.0768607
+0.0753612
+0.0738963
+0.072468
+0.0710786
+0.0697302
+0.0684255
+0.0671669
+0.0659571
+0.0647987
+0.0636947
+0.0626478
+0.061661
+0.0607372
+0.0598712
+0.0590668
+0.0583336
+0.0576743
+0.0570915
+0.0565876
+0.0561647
+0.0558246
+0.0555688
+0.0553986
+0.0553146
+0.0553174
+0.0554068
+0.0555826
+0.0558437
+0.0556572
+0.0551158
+0.0545966
+0.0541577
+0.0538044
+0.0535378
+0.0533449
+0.0532416
+0.0531918
+0.0532158
+0.0533299
+0.05353
+0.0538048
+0.0541668
+0.0546144
+0.0551454
+0.0557509
+0.0564333
+0.0571915
+0.0580226
+0.0588994
+0.059813
+0.0607918
+0.0618328
+0.0629233
+0.0640652
+0.0652607
+0.0665069
+0.0678
+0.0691129
+0.0704652
+0.0718588
+0.0732897
+0.0747127
+0.0761722
+0.077666
+0.0791923
+0.0807492
+0.0823334
+0.0839133
+0.0855201
+0.0871515
+0.0888051
+0.0904814
+0.0921794
+0.0938977
+0.0956354
+0.0973913
+0.0991646
+0.100954
+0.102759
+0.104579
+0.106413
+0.10826
+0.110103
+0.111936
+0.113781
+0.115639
+0.117508
+0.0970691
+0.0952901
+0.0935286
+0.0917856
+0.090061
+0.0883513
+0.0866633
+0.0849981
+0.0833573
+0.0817423
+0.0801546
+0.0785959
+0.077068
+0.0755727
+0.0741119
+0.0726879
+0.0713027
+0.0699587
+0.0686583
+0.0674041
+0.0661986
+0.0650445
+0.0639447
+0.062902
+0.0619192
+0.0609994
+0.0601371
+0.0593363
+0.0586065
+0.0579503
+0.0573703
+0.0568689
+0.0564481
+0.0561097
+0.0558553
+0.0556859
+0.0556024
+0.0556051
+0.0556941
+0.055487
+0.0547743
+0.054141
+0.053565
+0.05303
+0.052578
+0.0522141
+0.05194
+0.0517418
+0.0516264
+0.0515706
+0.0515954
+0.051713
+0.0519136
+0.0521969
+0.05257
+0.053031
+0.0535777
+0.0542008
+0.0549025
+0.0556815
+0.0565348
+0.0574182
+0.0583549
+0.0593578
+0.0604235
+0.0615389
+0.062706
+0.0639269
+0.0651781
+0.066466
+0.0678003
+0.0691782
+0.0705788
+0.0719888
+0.073437
+0.0749214
+0.0764397
+0.0779899
+0.0795496
+0.0811246
+0.0827275
+0.0843549
+0.0860064
+0.0876815
+0.089379
+0.0910975
+0.0928359
+0.094593
+0.0963679
+0.0981597
+0.0999673
+0.10179
+0.103627
+0.10547
+0.107292
+0.109128
+0.110977
+0.112838
+0.114711
+0.116595
+0.0972732
+0.095498
+0.0937404
+0.0920014
+0.0902821
+0.0885835
+0.0869024
+0.085242
+0.083606
+0.0819958
+0.0804132
+0.0788596
+0.0773368
+0.0758468
+0.0743915
+0.0729729
+0.0715932
+0.0702548
+0.06896
+0.0677113
+0.0665114
+0.0653628
+0.0642685
+0.0632311
+0.0622536
+0.0613387
+0.0604813
+0.0596851
+0.0589596
+0.0583074
+0.057731
+0.0572327
+0.0568146
+0.0564784
+0.0562256
+0.0560574
+0.0559745
+0.055661
+0.0548263
+0.0540525
+0.0533207
+0.0526699
+0.0520525
+0.051509
+0.0510436
+0.0506686
+0.0503862
+0.0501831
+0.0500495
+0.0499928
+0.0500184
+0.0501397
+0.0503407
+0.0506328
+0.0510173
+0.0514922
+0.0520551
+0.0526962
+0.0534176
+0.054218
+0.0550757
+0.0559825
+0.0569438
+0.0579711
+0.0590618
+0.0602024
+0.0613784
+0.0625948
+0.0638597
+0.0651736
+0.0665316
+0.0678941
+0.0692963
+0.0707319
+0.0722053
+0.0737145
+0.0752518
+0.0767899
+0.0783591
+0.0799572
+0.08158
+0.083229
+0.0849024
+0.0865989
+0.0883171
+0.0900559
+0.091814
+0.0935903
+0.0953839
+0.0971938
+0.0990191
+0.100859
+0.102673
+0.104498
+0.106337
+0.108189
+0.110054
+0.11193
+0.113818
+0.115716
+0.0975261
+0.0957556
+0.0940028
+0.0922687
+0.0905544
+0.0888611
+0.0871899
+0.0855413
+0.0839111
+0.0823069
+0.0807303
+0.079183
+0.0776666
+0.076183
+0.0747342
+0.0733223
+0.0719493
+0.0706176
+0.0693296
+0.0680877
+0.0668945
+0.0657527
+0.0646649
+0.063634
+0.0626627
+0.061754
+0.0609024
+0.0601118
+0.0593915
+0.0587441
+0.058172
+0.0576775
+0.0572627
+0.0569291
+0.0566784
+0.0562312
+0.0552315
+0.0543019
+0.053446
+0.0526673
+0.0519189
+0.0512276
+0.0505897
+0.0500328
+0.0495548
+0.0491697
+0.0488796
+0.0486542
+0.0485042
+0.0484469
+0.0484733
+0.0485984
+0.0488154
+0.0491165
+0.0495128
+0.0500021
+0.0505815
+0.0512411
+0.0519771
+0.0527672
+0.0536265
+0.0545574
+0.0555591
+0.0566279
+0.0577394
+0.0588686
+0.0600565
+0.0612991
+0.0625902
+0.0638992
+0.065243
+0.0666318
+0.0680602
+0.0695212
+0.0710198
+0.0725271
+0.074057
+0.0756194
+0.0772107
+0.0788293
+0.0804749
+0.082146
+0.0838411
+0.0855586
+0.0872973
+0.089056
+0.0908335
+0.0926286
+0.0944405
+0.0962681
+0.0980797
+0.0998928
+0.101721
+0.103563
+0.105418
+0.107286
+0.109166
+0.111058
+0.112957
+0.114853
+0.0978273
+0.0960624
+0.0943153
+0.0925871
+0.0908788
+0.0891917
+0.0875268
+0.0858855
+0.0842693
+0.0826749
+0.0811055
+0.0795654
+0.0780565
+0.0765804
+0.0751393
+0.0737351
+0.07237
+0.0710462
+0.0697661
+0.0685321
+0.0673468
+0.0662127
+0.0651326
+0.0641093
+0.0631453
+0.0622436
+0.0613988
+0.0606146
+0.0599004
+0.0592585
+0.0586915
+0.0582014
+0.0577903
+0.0572015
+0.0560594
+0.0549696
+0.0539468
+0.0529949
+0.0521169
+0.0513061
+0.0505348
+0.0498295
+0.0491804
+0.0485968
+0.0481044
+0.0477077
+0.0473924
+0.0471565
+0.0470017
+0.0469425
+0.0469697
+0.0470989
+0.0473292
+0.0476445
+0.048053
+0.0485569
+0.0491534
+0.0498122
+0.05054
+0.0513401
+0.0522198
+0.0531753
+0.0542026
+0.0552976
+0.0564173
+0.0575724
+0.0587865
+0.0600352
+0.0613103
+0.062633
+0.0640035
+0.0654186
+0.066873
+0.0683495
+0.0698335
+0.0713539
+0.0729084
+0.0744919
+0.0761052
+0.0777468
+0.0794149
+0.0811078
+0.0828241
+0.0845623
+0.0863211
+0.0880993
+0.0898917
+0.0916979
+0.0935178
+0.0953171
+0.0971324
+0.0989629
+0.100808
+0.102666
+0.104538
+0.106421
+0.108309
+0.110206
+0.112111
+0.113963
+0.0981766
+0.0964181
+0.0946775
+0.0929561
+0.0912547
+0.0895746
+0.087917
+0.0862832
+0.0846745
+0.0830924
+0.0815378
+0.080006
+0.0785055
+0.0770381
+0.0756057
+0.0742103
+0.0728541
+0.0715393
+0.0702681
+0.0690431
+0.0678667
+0.0667415
+0.0656702
+0.0646553
+0.0636996
+0.0628058
+0.0619687
+0.0611918
+0.0604844
+0.0598488
+0.0592874
+0.058518
+0.0572531
+0.0560453
+0.0548691
+0.0537551
+0.0527088
+0.051734
+0.0508349
+0.0500015
+0.0492069
+0.048472
+0.0478169
+0.0472187
+0.0467037
+0.0462749
+0.0459467
+0.0457041
+0.0455421
+0.0454851
+0.045522
+0.0456553
+0.0458928
+0.0462159
+0.0466369
+0.0471407
+0.0477354
+0.0484036
+0.0491408
+0.0499633
+0.0508669
+0.0518473
+0.0529004
+0.0540133
+0.0551505
+0.0563308
+0.0575227
+0.0587706
+0.0600694
+0.061419
+0.0628159
+0.0642572
+0.0657038
+0.0671748
+0.0686841
+0.0702284
+0.0718038
+0.0734108
+0.0750474
+0.0767116
+0.0784017
+0.0801161
+0.0818531
+0.0836062
+0.0853767
+0.0871664
+0.0889739
+0.090775
+0.0925757
+0.0943929
+0.0962256
+0.098073
+0.0999343
+0.101801
+0.103679
+0.105569
+0.10747
+0.109378
+0.111295
+0.112959
+0.0985733
+0.096822
+0.0950888
+0.093375
+0.0916814
+0.0900092
+0.0883598
+0.0867343
+0.0851341
+0.0835608
+0.0820157
+0.0805007
+0.0790114
+0.0775538
+0.0761314
+0.0747462
+0.0734002
+0.0720956
+0.0708344
+0.0696194
+0.0684529
+0.0673375
+0.0662758
+0.0652703
+0.0643237
+0.0634388
+0.0626101
+0.0618413
+0.0611414
+0.0601802
+0.0587879
+0.0574454
+0.0561563
+0.0549244
+0.0537377
+0.0525998
+0.05153
+0.0505325
+0.0496118
+0.048743
+0.0479197
+0.0471666
+0.0464828
+0.0458633
+0.0453335
+0.0448916
+0.0445532
+0.0443073
+0.0441381
+0.0440584
+0.0440874
+0.0442251
+0.0444535
+0.044784
+0.0452183
+0.0457405
+0.0463533
+0.0470414
+0.0477996
+0.0486448
+0.0495724
+0.0505766
+0.0516434
+0.0527797
+0.0539129
+0.05507
+0.056287
+0.0575584
+0.058884
+0.0602601
+0.0616833
+0.0630993
+0.0645553
+0.0660519
+0.0675838
+0.0691501
+0.0707495
+0.0723799
+0.0740393
+0.0757257
+0.0774303
+0.0791571
+0.0809064
+0.0826767
+0.0844667
+0.0862719
+0.0880557
+0.0898575
+0.0916762
+0.0935109
+0.0953516
+0.0972061
+0.0990743
+0.100955
+0.102849
+0.104754
+0.106666
+0.108586
+0.110517
+0.111987
+0.0990169
+0.0972736
+0.0955486
+0.0938431
+0.0921581
+0.0904948
+0.0888544
+0.0872381
+0.0856474
+0.0840836
+0.0825484
+0.0810433
+0.0795641
+0.0781169
+0.0767049
+0.0753302
+0.0739949
+0.072701
+0.0714509
+0.0702468
+0.0690913
+0.0679867
+0.0669356
+0.0659406
+0.0650042
+0.064129
+0.0633175
+0.0621488
+0.0606618
+0.0592144
+0.0578034
+0.0564375
+0.0551249
+0.053867
+0.0526586
+0.0515074
+0.0504144
+0.0493944
+0.0484243
+0.0475247
+0.0466833
+0.045913
+0.0452116
+0.0445745
+0.0440178
+0.0435626
+0.043213
+0.0429294
+0.0427534
+0.0426711
+0.0427011
+0.0428429
+0.0430744
+0.0434154
+0.0438626
+0.0443937
+0.0450248
+0.045736
+0.0465155
+0.0473836
+0.0483354
+0.0493544
+0.0504471
+0.0515677
+0.0526852
+0.053867
+0.0551072
+0.0564053
+0.0577574
+0.0591479
+0.0605404
+0.0619791
+0.0634608
+0.0649792
+0.0665347
+0.0681251
+0.0697481
+0.0713926
+0.073065
+0.0747643
+0.0764886
+0.0782362
+0.0800056
+0.0817954
+0.0835765
+0.0853604
+0.0871628
+0.0889746
+0.0908007
+0.0926427
+0.0944996
+0.0963704
+0.0982545
+0.100151
+0.102059
+0.103974
+0.105899
+0.107833
+0.109778
+0.111049
+0.0995068
+0.0977722
+0.0960562
+0.0943599
+0.0926843
+0.0910306
+0.0893999
+0.0877937
+0.0862132
+0.0846599
+0.0831353
+0.0816411
+0.0801729
+0.0787369
+0.0773363
+0.075973
+0.0746491
+0.0733668
+0.0721282
+0.0709357
+0.0697915
+0.0686982
+0.0676582
+0.0666739
+0.065748
+0.064417
+0.062831
+0.0612822
+0.0597737
+0.0583048
+0.0568756
+0.055496
+0.0541624
+0.0528727
+0.0516409
+0.0504741
+0.0493525
+0.0482717
+0.0472677
+0.0463427
+0.0454666
+0.0446809
+0.0439751
+0.0433107
+0.0427421
+0.0422731
+0.0419119
+0.0416195
+0.0414383
+0.0413533
+0.0413843
+0.041526
+0.0417648
+0.0421163
+0.0425696
+0.0431162
+0.0437486
+0.0444759
+0.0452977
+0.0461898
+0.0471578
+0.0482008
+0.0493058
+0.0503782
+0.0515197
+0.0527242
+0.0539907
+0.055315
+0.0566595
+0.0580291
+0.0594478
+0.0609123
+0.0624136
+0.0639493
+0.0655222
+0.0671298
+0.0687696
+0.0704382
+0.0721328
+0.0738535
+0.0755986
+0.0773663
+0.0791398
+0.0809029
+0.0826861
+0.0844778
+0.0862879
+0.0881153
+0.0899589
+0.0918178
+0.093691
+0.0955777
+0.0974771
+0.0993885
+0.101307
+0.103234
+0.105172
+0.107108
+0.109039
+0.110145
+0.100042
+0.0983171
+0.0966108
+0.0949243
+0.0932589
+0.0916156
+0.0899955
+0.0884001
+0.0868307
+0.0852886
+0.0837755
+0.0822928
+0.0808365
+0.0794125
+0.078024
+0.076673
+0.0753614
+0.0740914
+0.0728651
+0.0716848
+0.0705529
+0.0694715
+0.0684432
+0.0669599
+0.065293
+0.0636567
+0.0620513
+0.0604826
+0.0589536
+0.0574643
+0.0560136
+0.0546123
+0.0532639
+0.0519516
+0.0506931
+0.049486
+0.0483176
+0.0472131
+0.0461861
+0.0452185
+0.0443202
+0.0435137
+0.0427887
+0.0421056
+0.0415269
+0.0410571
+0.0406873
+0.040386
+0.0401997
+0.040112
+0.040144
+0.0402851
+0.0405313
+0.0408732
+0.0413252
+0.0418782
+0.0425248
+0.0432727
+0.0441168
+0.0450455
+0.0460255
+0.047087
+0.0481601
+0.0492555
+0.0504189
+0.051649
+0.0529413
+0.0542329
+0.0555712
+0.0569545
+0.0583873
+0.0598659
+0.0613872
+0.0629479
+0.0645452
+0.0661766
+0.0678394
+0.0695315
+0.0712508
+0.0729954
+0.0747453
+0.0764842
+0.0782457
+0.0800282
+0.0818195
+0.0836297
+0.0854578
+0.0873026
+0.089163
+0.0910381
+0.092927
+0.0948289
+0.0967431
+0.098664
+0.100595
+0.102532
+0.104456
+0.106391
+0.108335
+0.109279
+0.100623
+0.0989075
+0.0972115
+0.0955357
+0.0938811
+0.0922489
+0.0906402
+0.0890563
+0.0874987
+0.0859686
+0.0844676
+0.0829973
+0.0815536
+0.0801423
+0.0787667
+0.0774286
+0.0761301
+0.0748731
+0.0736598
+0.0724925
+0.0713733
+0.0697311
+0.0679966
+0.0662891
+0.0646107
+0.0629631
+0.06134
+0.0597527
+0.0582045
+0.056696
+0.0552213
+0.0537733
+0.0523735
+0.0510293
+0.0497453
+0.0485152
+0.0473532
+0.0462128
+0.0451426
+0.0441551
+0.0432544
+0.0424276
+0.0416837
+0.0409822
+0.0403875
+0.0399043
+0.0395321
+0.0392224
+0.0390335
+0.0389492
+0.0389819
+0.0391082
+0.0393382
+0.0396879
+0.0401542
+0.040716
+0.0413808
+0.042149
+0.0430089
+0.0439324
+0.0449367
+0.0459762
+0.0470611
+0.0481932
+0.0493624
+0.0505726
+0.0518253
+0.0531388
+0.054504
+0.0559137
+0.0573725
+0.0588766
+0.0604228
+0.0620078
+0.0636287
+0.065283
+0.066968
+0.0686816
+0.0704173
+0.0721274
+0.073863
+0.0756222
+0.0774031
+0.0791931
+0.0810028
+0.0828309
+0.0846763
+0.0865377
+0.0884142
+0.0903049
+0.0922088
+0.0941252
+0.0960485
+0.0979816
+0.099903
+0.10183
+0.103767
+0.105714
+0.107667
+0.108449
+0.101245
+0.0995426
+0.0978577
+0.0961932
+0.0945501
+0.0929296
+0.0913329
+0.0897612
+0.088216
+0.0866986
+0.0852105
+0.0837532
+0.0823228
+0.0809249
+0.0795628
+0.0782383
+0.0769534
+0.0757101
+0.0745105
+0.0727254
+0.0709288
+0.0691549
+0.0674056
+0.0656827
+0.0639884
+0.0623158
+0.0606751
+0.0590701
+0.0574921
+0.0559444
+0.0544346
+0.0529679
+0.0515498
+0.0501836
+0.0488603
+0.0475984
+0.0464014
+0.0452591
+0.0441698
+0.0431635
+0.0422353
+0.0413883
+0.0406417
+0.0399475
+0.0393304
+0.038819
+0.0384101
+0.0380913
+0.0378967
+0.0378282
+0.0378624
+0.0379737
+0.0382105
+0.0385704
+0.0390501
+0.0396343
+0.0403168
+0.0410919
+0.0419575
+0.0428972
+0.0438835
+0.0449121
+0.0460183
+0.0471376
+0.0482808
+0.0494946
+0.0507739
+0.052114
+0.0535052
+0.0549406
+0.0564245
+0.0579533
+0.0595234
+0.0611318
+0.0627754
+0.0644515
+0.0661577
+0.0678447
+0.0695491
+0.0712801
+0.0730358
+0.0748136
+0.076602
+0.0784103
+0.0802377
+0.0820829
+0.0839446
+0.0858219
+0.0877137
+0.0896192
+0.0915374
+0.0934625
+0.095384
+0.0973017
+0.0992303
+0.101167
+0.103114
+0.10507
+0.107035
+0.107658
+0.101904
+0.100214
+0.0985434
+0.0968938
+0.0952647
+0.0936565
+0.0920724
+0.0905136
+0.0889815
+0.0874773
+0.0860027
+0.0845591
+0.0831425
+0.0817587
+0.0804107
+0.0791004
+0.0777844
+0.0759179
+0.0740692
+0.0722396
+0.0704306
+0.0686435
+0.0668712
+0.0651242
+0.0634048
+0.0617153
+0.0600582
+0.058428
+0.0568274
+0.0552547
+0.053721
+0.0522342
+0.0507864
+0.0493857
+0.0480377
+0.0467535
+0.0455344
+0.0443815
+0.0432793
+0.0422525
+0.0413034
+0.0404368
+0.0396641
+0.0389437
+0.0383021
+0.0377768
+0.0373727
+0.0370534
+0.0368533
+0.0367742
+0.0367964
+0.0369258
+0.0371693
+0.0375392
+0.0380319
+0.0386098
+0.0392865
+0.0400717
+0.0409584
+0.0419018
+0.0428793
+0.0439289
+0.0449911
+0.0460834
+0.0472521
+0.0484916
+0.0497967
+0.0511624
+0.0525788
+0.0540388
+0.0555469
+0.0570991
+0.0586921
+0.0603226
+0.0619877
+0.0636508
+0.0653177
+0.0670148
+0.0687398
+0.0704888
+0.07226
+0.0740499
+0.0758558
+0.0776815
+0.0795256
+0.0813869
+0.0832642
+0.0851565
+0.0870628
+0.0889822
+0.0909043
+0.0928111
+0.0947268
+0.0966543
+0.0985927
+0.100541
+0.1025
+0.104468
+0.106281
+0.106906
+0.102605
+0.100927
+0.0992682
+0.0976309
+0.0960157
+0.0944237
+0.0928561
+0.0913124
+0.0897939
+0.0883036
+0.086843
+0.0854136
+0.0840114
+0.0826421
+0.081186
+0.079277
+0.0773828
+0.0755048
+0.073644
+0.0718018
+0.0699774
+0.0681693
+0.0663843
+0.0646242
+0.0628911
+0.0611874
+0.0595059
+0.0578522
+0.0562335
+0.0546334
+0.0530755
+0.0515636
+0.0500914
+0.0486707
+0.0473023
+0.0459976
+0.0447579
+0.0435845
+0.0424832
+0.0414367
+0.0404525
+0.0395529
+0.0387463
+0.038023
+0.037374
+0.0368355
+0.0364073
+0.0360709
+0.0358653
+0.035793
+0.0358206
+0.0359382
+0.0361883
+0.0365656
+0.0370462
+0.0376416
+0.0383354
+0.0391398
+0.0400037
+0.0409434
+0.0419438
+0.0429609
+0.0439946
+0.045111
+0.0463042
+0.0475685
+0.0488982
+0.0502883
+0.0517287
+0.053212
+0.0547428
+0.0563173
+0.0579318
+0.0595646
+0.061186
+0.0628419
+0.0645297
+0.066244
+0.0679846
+0.0697506
+0.0715401
+0.0733432
+0.075166
+0.077008
+0.0788679
+0.0807443
+0.0826363
+0.0845426
+0.0864589
+0.0883606
+0.0902645
+0.0921811
+0.0941097
+0.0960495
+0.0979999
+0.0999602
+0.101929
+0.103876
+0.105565
+0.106194
+0.103348
+0.101682
+0.100036
+0.0984113
+0.0968091
+0.0952303
+0.0936762
+0.0921479
+0.0906469
+0.0891743
+0.08773
+0.0863153
+0.0846741
+0.0827567
+0.0808429
+0.0789277
+0.0770267
+0.07514
+0.07327
+0.0714182
+0.0695813
+0.0677626
+0.0659666
+0.064195
+0.0624438
+0.0607121
+0.0590109
+0.0573429
+0.0556928
+0.0540767
+0.0525023
+0.0509735
+0.0494836
+0.048045
+0.0466583
+0.0453351
+0.0440767
+0.0428846
+0.0417736
+0.04069
+0.039675
+0.0387572
+0.0379329
+0.0371768
+0.0365276
+0.0359955
+0.0355239
+0.035179
+0.0349682
+0.0348785
+0.0349145
+0.0350469
+0.0352872
+0.0356506
+0.0361433
+0.0367602
+0.0374482
+0.03824
+0.0391216
+0.0400709
+0.0410643
+0.0420305
+0.0430865
+0.0442258
+0.0454423
+0.0467299
+0.0480828
+0.0494958
+0.0509586
+0.0524637
+0.0540157
+0.0556098
+0.0571755
+0.0587811
+0.0604233
+0.0620955
+0.0637989
+0.0655312
+0.0672902
+0.069074
+0.0708769
+0.0726955
+0.0745342
+0.0763915
+0.078266
+0.0801566
+0.0820597
+0.0839527
+0.0858497
+0.0877534
+0.0896702
+0.0915992
+0.0935398
+0.0954912
+0.0974527
+0.0994088
+0.101357
+0.103315
+0.104889
+0.105522
+0.104131
+0.102478
+0.100845
+0.0992339
+0.0976452
+0.0960801
+0.09454
+0.0930259
+0.0915392
+0.0900813
+0.0882904
+0.0863422
+0.0844059
+0.0824823
+0.0805505
+0.0786281
+0.07672
+0.0748275
+0.0729517
+0.0710938
+0.0692522
+0.0674247
+0.0656163
+0.0638203
+0.0620497
+0.0603066
+0.0585937
+0.0569014
+0.0552338
+0.0536039
+0.0520152
+0.0504716
+0.0489665
+0.0475121
+0.0461094
+0.04477
+0.0434952
+0.0422592
+0.0410861
+0.0399986
+0.0389866
+0.0380481
+0.0371879
+0.0364072
+0.035744
+0.0351994
+0.0347198
+0.0343668
+0.034137
+0.0340331
+0.0340701
+0.0342074
+0.0344681
+0.0348494
+0.0353533
+0.0359346
+0.0366355
+0.0374446
+0.0383345
+0.0392718
+0.0401848
+0.0411942
+0.0422725
+0.0434332
+0.0446713
+0.0459805
+0.0473548
+0.0487889
+0.0502723
+0.0517973
+0.0533136
+0.0548573
+0.0564426
+0.058064
+0.0597216
+0.0614127
+0.0631345
+0.0648845
+0.0666607
+0.0684608
+0.0702748
+0.0721087
+0.073962
+0.0758333
+0.0777203
+0.0795959
+0.0814873
+0.0833783
+0.0852809
+0.087197
+0.0891257
+0.0910663
+0.093018
+0.0949801
+0.0969221
+0.0988711
+0.10083
+0.102791
+0.104255
+0.104875
+0.104787
+0.103278
+0.101679
+0.100098
+0.0985229
+0.096972
+0.0954462
+0.0939468
+0.0920254
+0.0900514
+0.0880877
+0.0861346
+0.084184
+0.0822456
+0.0803143
+0.0783886
+0.0764746
+0.0745758
+0.0726935
+0.0708289
+0.0689834
+0.0671423
+0.0653148
+0.0635103
+0.061729
+0.0599619
+0.0582236
+0.0565168
+0.0548443
+0.0532095
+0.0516159
+0.0500549
+0.0485355
+0.0470691
+0.0456577
+0.0442823
+0.0429624
+0.0416941
+0.0405046
+0.039401
+0.0383644
+0.0374091
+0.0365352
+0.0357437
+0.0350713
+0.0345001
+0.034013
+0.033654
+0.0334167
+0.0333106
+0.0333484
+0.0334813
+0.0337233
+0.0341045
+0.0346141
+0.0352051
+0.0359202
+0.0367522
+0.0376416
+0.0384687
+0.0394003
+0.0404293
+0.0415484
+0.0427323
+0.0439901
+0.0453189
+0.0467127
+0.0481659
+0.049635
+0.0511021
+0.0526168
+0.0541755
+0.0557767
+0.0574168
+0.0590926
+0.0608012
+0.0625398
+0.0643029
+0.0660902
+0.0679011
+0.0697339
+0.0715832
+0.0734475
+0.0753057
+0.0771779
+0.0790647
+0.0809501
+0.0828505
+0.0847649
+0.0866923
+0.0886321
+0.0905832
+0.0925338
+0.0944717
+0.0964204
+0.0983656
+0.100314
+0.102273
+0.103664
+0.104251
+0.104075
+0.103324
+0.102424
+0.10086
+0.0993195
+0.0978038
+0.0958653
+0.0938638
+0.0918685
+0.0898822
+0.0879056
+0.0859395
+0.0839844
+0.0820412
+0.0801048
+0.0781755
+0.0762603
+0.0743604
+0.0724711
+0.0705977
+0.0687431
+0.0669088
+0.065069
+0.0632435
+0.0614418
+0.0596662
+0.0579191
+0.056203
+0.0545209
+0.0528761
+0.0512721
+0.049713
+0.0481839
+0.0466774
+0.045227
+0.043838
+0.0425166
+0.0412377
+0.0400347
+0.0389044
+0.0378508
+0.0368821
+0.0359955
+0.0351919
+0.0345087
+0.033928
+0.0334325
+0.0330672
+0.0328271
+0.0327191
+0.0327028
+0.0328068
+0.0330537
+0.0334425
+0.0339685
+0.034576
+0.0353038
+0.036111
+0.0369331
+0.0377756
+0.0387239
+0.0397704
+0.0409076
+0.0421272
+0.043403
+0.0447493
+0.0461603
+0.0475518
+0.0489825
+0.0504633
+0.0519942
+0.053571
+0.0551897
+0.0568467
+0.0585348
+0.0602542
+0.0620034
+0.0637799
+0.0655815
+0.0674061
+0.0692519
+0.0710884
+0.0729421
+0.07481
+0.0766876
+0.078569
+0.0804659
+0.0823775
+0.0842972
+0.0862275
+0.08817
+0.0901237
+0.0920602
+0.0939872
+0.0959247
+0.0978729
+0.0998311
+0.101781
+0.103115
+0.10367
+0.103405
+0.102648
+0.101933
+0.101261
+0.099779
+0.0977571
+0.0957426
+0.093736
+0.0917379
+0.0897487
+0.0877692
+0.0857999
+0.0838415
+0.081895
+0.0799547
+0.0780217
+0.0761027
+0.0741987
+0.0723055
+0.0704277
+0.0685685
+0.0667236
+0.0648707
+0.0630394
+0.0612318
+0.0594499
+0.0576962
+0.0559732
+0.054284
+0.0526318
+0.0510202
+0.0494354
+0.0478763
+0.0463599
+0.0448991
+0.0434997
+0.0421677
+0.0408938
+0.039667
+0.0385206
+0.0374577
+0.0364744
+0.0355827
+0.0347695
+0.0340708
+0.0334706
+0.0329448
+0.0325442
+0.0322875
+0.0321512
+0.0321332
+0.0322545
+0.0325043
+0.0328985
+0.0334242
+0.0340086
+0.0347216
+0.0355432
+0.0363283
+0.0371846
+0.0381475
+0.0392094
+0.0403624
+0.0415865
+0.0428841
+0.0442498
+0.0455746
+0.0469642
+0.0484123
+0.0499099
+0.0514573
+0.0530448
+0.0546737
+0.0563407
+0.0580425
+0.0597761
+0.0615389
+0.0633284
+0.0651424
+0.0669592
+0.0687847
+0.070631
+0.0724965
+0.0743636
+0.0762314
+0.0781153
+0.0800149
+0.0819289
+0.0838565
+0.0857968
+0.0877488
+0.0896626
+0.0915868
+0.0935227
+0.0954696
+0.0974226
+0.0993639
+0.101315
+0.102611
+0.103132
+0.102777
+0.102016
+0.101296
+0.100619
+0.0997069
+0.0976835
+0.0956675
+0.0936593
+0.0916595
+0.0896686
+0.0876872
+0.085716
+0.0837558
+0.0818071
+0.0798583
+0.0779223
+0.0760002
+0.074093
+0.0722018
+0.0703256
+0.0684636
+0.0666023
+0.0647459
+0.062911
+0.0610996
+0.0593137
+0.0575558
+0.0558286
+0.0541349
+0.052478
+0.0508445
+0.0492332
+0.0476675
+0.0461442
+0.0446764
+0.0432698
+0.0419075
+0.0406062
+0.0393679
+0.0382125
+0.0371405
+0.0361486
+0.0352445
+0.0344089
+0.0336942
+0.0330593
+0.0325334
+0.0321276
+0.0318675
+0.0317226
+0.0316894
+0.031793
+0.0320409
+0.0324118
+0.0328996
+0.0334931
+0.0342169
+0.0350001
+0.0358202
+0.0366884
+0.037664
+0.0387392
+0.0399057
+0.0411434
+0.0424545
+0.0437276
+0.0450678
+0.0464726
+0.0479288
+0.0494351
+0.0509912
+0.0525924
+0.0542349
+0.0559149
+0.0576293
+0.059375
+0.0611494
+0.0629404
+0.064731
+0.0665456
+0.0683821
+0.0702282
+0.0720693
+0.0739294
+0.0758072
+0.0777014
+0.0796108
+0.0815343
+0.083471
+0.0853999
+0.0873082
+0.0892293
+0.0911627
+0.0931074
+0.0950463
+0.0969857
+0.0989357
+0.100895
+0.102142
+0.102638
+0.102192
+0.101426
+0.100703
+0.100022
+0.0993845
+0.0976591
+0.0956425
+0.0936338
+0.0916334
+0.0896419
+0.08766
+0.0856882
+0.0837272
+0.0817661
+0.0798162
+0.0778792
+0.075956
+0.0740476
+0.0721553
+0.0702803
+0.0684139
+0.0665529
+0.0646951
+0.0628587
+0.0610457
+0.0592583
+0.0574987
+0.0557697
+0.0540652
+0.0523876
+0.0507426
+0.049128
+0.0475588
+0.0460319
+0.0445604
+0.0431178
+0.0417394
+0.0404327
+0.0391891
+0.0380283
+0.0369507
+0.0359532
+0.0350179
+0.0341768
+0.0334529
+0.0327895
+0.0322591
+0.0318495
+0.0315577
+0.0313669
+0.0313188
+0.031415
+0.0316419
+0.0320173
+0.0325143
+0.0331148
+0.0337812
+0.0345322
+0.0353999
+0.0363177
+0.0373031
+0.0383884
+0.0395652
+0.0408133
+0.0420282
+0.0433101
+0.0446591
+0.0460641
+0.0475287
+0.0490473
+0.0506152
+0.052228
+0.0538816
+0.0555723
+0.0572969
+0.0590525
+0.0608019
+0.062577
+0.0643777
+0.0661962
+0.0680052
+0.0698362
+0.0716873
+0.0735571
+0.0754442
+0.0773472
+0.0792652
+0.0811764
+0.0830938
+0.0850015
+0.0869184
+0.088848
+0.0907836
+0.0927126
+0.0946492
+0.0965966
+0.0985542
+0.100521
+0.101691
+0.102181
+0.101636
+0.100876
+0.100154
+0.099469
+0.0988281
+0.0976837
+0.0956677
+0.0936595
+0.0916597
+0.0896688
+0.0876875
+0.0857163
+0.083745
+0.0817837
+0.0798343
+0.0778977
+0.075975
+0.0740615
+0.072156
+0.0702673
+0.0683965
+0.0665452
+0.0647095
+0.0628734
+0.0610606
+0.0592734
+0.0575014
+0.0557551
+0.0540411
+0.0523627
+0.0507234
+0.0491147
+0.0475375
+0.0460103
+0.0445112
+0.043066
+0.0416859
+0.0403775
+0.0391323
+0.0379698
+0.0368743
+0.0358666
+0.0349275
+0.0340842
+0.0333306
+0.0326509
+0.0320688
+0.0316277
+0.0313338
+0.0311328
+0.0310843
+0.0311622
+0.0313909
+0.0317694
+0.0322204
+0.0327703
+0.0334381
+0.0341967
+0.0350758
+0.0360623
+0.0370548
+0.0381471
+0.0393312
+0.040485
+0.0416993
+0.042988
+0.0443378
+0.0457527
+0.0472269
+0.0487549
+0.0503316
+0.0519509
+0.0536103
+0.0553068
+0.057023
+0.0587489
+0.0605049
+0.0622885
+0.0640581
+0.0658531
+0.0676713
+0.0695111
+0.0713706
+0.0732485
+0.0751433
+0.0770316
+0.0789281
+0.0808395
+0.0827465
+0.0846578
+0.0865824
+0.0884953
+0.0904209
+0.0923575
+0.0943013
+0.0962558
+0.0982202
+0.100194
+0.101277
+0.101768
+0.101122
+0.100357
+0.099635
+0.0989562
+0.0983174
+0.0977182
+0.095743
+0.0937365
+0.0917383
+0.0897492
+0.0877696
+0.0857902
+0.0838195
+0.08186
+0.0799107
+0.0779635
+0.0760297
+0.0741101
+0.072206
+0.0703185
+0.0684492
+0.0665994
+0.0647709
+0.0629586
+0.0611373
+0.0593362
+0.0575622
+0.0558178
+0.0541058
+0.0524294
+0.0507703
+0.0491483
+0.047572
+0.0460459
+0.0445689
+0.0431256
+0.0417474
+0.040441
+0.0391981
+0.0380168
+0.0369187
+0.0358444
+0.0348734
+0.0340154
+0.0332505
+0.0325589
+0.0319751
+0.0315326
+0.0312379
+0.0310363
+0.0309862
+0.0310623
+0.0312766
+0.0315725
+0.0320113
+0.0325648
+0.0332362
+0.0339993
+0.0348834
+0.0358624
+0.0369176
+0.0379938
+0.0390893
+0.0402266
+0.0414485
+0.0427478
+0.044115
+0.0455337
+0.0470117
+0.0485436
+0.0501245
+0.0517498
+0.0534067
+0.0550907
+0.0567908
+0.0585236
+0.0602508
+0.0620012
+0.0637788
+0.0655814
+0.0674069
+0.0692537
+0.07112
+0.0729802
+0.0748511
+0.076739
+0.0786406
+0.0805328
+0.0824396
+0.0843509
+0.0862577
+0.0881777
+0.0901101
+0.0920531
+0.0940033
+0.0959638
+0.0979341
+0.0999135
+0.100907
+0.1014
+0.100652
+0.0998837
+0.0991581
+0.098476
+0.0978372
+0.0972407
+0.0958684
+0.0938645
+0.0918691
+0.0898777
+0.087894
+0.0859188
+0.0839411
+0.0819727
+0.0800158
+0.0780713
+0.0761401
+0.0742234
+0.0723223
+0.070438
+0.0685719
+0.0667255
+0.0649005
+0.0630946
+0.0612728
+0.0594759
+0.0577061
+0.0559662
+0.0542533
+0.0525563
+0.0508969
+0.0492791
+0.0477071
+0.0461855
+0.0447193
+0.0432811
+0.041908
+0.0406068
+0.0393259
+0.0381033
+0.0369575
+0.0358945
+0.0349249
+0.0340688
+0.0333025
+0.0325846
+0.0320009
+0.0315588
+0.0312448
+0.0310291
+0.0309385
+0.0309849
+0.0311855
+0.0315117
+0.0319513
+0.0325058
+0.0331622
+0.0339258
+0.0348106
+0.0357483
+0.0367391
+0.0378229
+0.038945
+0.0400864
+0.0413125
+0.0426159
+0.0439872
+0.0454099
+0.0468918
+0.0484275
+0.050005
+0.0516149
+0.0532548
+0.0549244
+0.0566009
+0.0583065
+0.0600337
+0.0617902
+0.0635737
+0.065382
+0.067213
+0.0690387
+0.0708783
+0.0727373
+0.0746144
+0.076485
+0.0783679
+0.0802665
+0.0821756
+0.0840747
+0.0859876
+0.0879135
+0.0898516
+0.0918
+0.0937554
+0.095721
+0.0976962
+0.0996662
+0.100584
+0.101079
+0.100228
+0.0994563
+0.0987276
+0.0980424
+0.0974007
+0.0968016
+0.096029
+0.094022
+0.0920233
+0.0900336
+0.0880534
+0.0860739
+0.0840983
+0.0821336
+0.0801806
+0.0782402
+0.0763134
+0.0744011
+0.0725046
+0.0706252
+0.0687641
+0.0669231
+0.0651037
+0.0633018
+0.0614862
+0.0596956
+0.0579326
+0.056185
+0.05446
+0.0527696
+0.0511172
+0.0495066
+0.047942
+0.0464281
+0.0449699
+0.0435399
+0.0421232
+0.0407465
+0.0394345
+0.0382031
+0.0370605
+0.0359949
+0.0350192
+0.0341383
+0.0333782
+0.0326664
+0.0320842
+0.0316307
+0.0313073
+0.031092
+0.0310017
+0.0310479
+0.0312481
+0.0315992
+0.0320151
+0.0325678
+0.0332204
+0.0339827
+0.0348083
+0.0356932
+0.036673
+0.0377293
+0.0388545
+0.0400657
+0.0412924
+0.0425965
+0.0439616
+0.0453849
+0.0468645
+0.0483851
+0.0499455
+0.0515361
+0.0531383
+0.0547779
+0.0564549
+0.0581647
+0.059896
+0.0616565
+0.0634429
+0.0652221
+0.0670257
+0.0688517
+0.0706961
+0.0725397
+0.074396
+0.0762676
+0.0781557
+0.0800593
+0.0819507
+0.0838548
+0.0857727
+0.0877033
+0.0896459
+0.0915889
+0.0935395
+0.0954955
+0.0974601
+0.0994341
+0.100308
+0.100804
+0.0998491
+0.0990749
+0.0983433
+0.0976555
+0.0970118
+0.0964103
+0.0958551
+0.0942219
+0.0922276
+0.0902423
+0.0882639
+0.0862828
+0.0843121
+0.0823525
+0.0804048
+0.07847
+0.0765489
+0.0746427
+0.0727525
+0.0708796
+0.0690254
+0.0671915
+0.0653753
+0.0635579
+0.0617648
+0.0599883
+0.0582175
+0.0564697
+0.0547537
+0.0530726
+0.05143
+0.0498295
+0.0482754
+0.0467533
+0.045232
+0.0437536
+0.0423275
+0.0409573
+0.0396522
+0.0384278
+0.0372728
+0.036199
+0.0352115
+0.0343356
+0.0335799
+0.0328725
+0.032294
+0.0318435
+0.0315223
+0.0313084
+0.0312187
+0.0312647
+0.0314112
+0.0316997
+0.0321086
+0.0326312
+0.0332343
+0.0339682
+0.0348047
+0.0357213
+0.0366865
+0.0377403
+0.0388651
+0.0400317
+0.0412701
+0.0425851
+0.0439699
+0.0454022
+0.0468821
+0.048407
+0.0499168
+0.0514726
+0.0530733
+0.0547148
+0.0563937
+0.0581053
+0.0598311
+0.0615588
+0.0633151
+0.0650978
+0.0669048
+0.0687079
+0.0705321
+0.0723767
+0.0742371
+0.0761126
+0.0780045
+0.0798885
+0.0817838
+0.0836918
+0.0856038
+0.0875233
+0.0894553
+0.0913971
+0.0933451
+0.0953036
+0.0972721
+0.0991489
+0.100002
+0.100573
+0.0995118
+0.0987349
+0.0980008
+0.0973106
+0.096665
+0.0960651
+0.0955102
+0.0944723
+0.0924833
+0.0905037
+0.0885219
+0.0865467
+0.0845821
+0.0826289
+0.0806879
+0.07876
+0.0768462
+0.0749476
+0.0730653
+0.0712006
+0.069355
+0.0675105
+0.0656791
+0.0638704
+0.0620862
+0.0603281
+0.0585713
+0.0568374
+0.0551329
+0.053458
+0.0518143
+0.0501962
+0.048602
+0.0470388
+0.045527
+0.0440458
+0.0426241
+0.0412609
+0.0399488
+0.0387095
+0.0375471
+0.0364792
+0.0355053
+0.0346368
+0.0338419
+0.0331609
+0.0325933
+0.0321306
+0.0318122
+0.0315785
+0.0314718
+0.0314305
+0.03154
+0.0318004
+0.0322078
+0.0327123
+0.0333139
+0.0340461
+0.0348968
+0.0358149
+0.0367736
+0.037825
+0.0389235
+0.0400883
+0.0413251
+0.0426384
+0.0440215
+0.0454414
+0.0469035
+0.0484188
+0.0499437
+0.0514987
+0.0530986
+0.0547394
+0.0564137
+0.0580779
+0.0597759
+0.0615052
+0.063263
+0.0650195
+0.0668008
+0.0686058
+0.0704327
+0.0722798
+0.0741426
+0.0759974
+0.0778676
+0.0797541
+0.0816517
+0.0835472
+0.0854567
+0.0873795
+0.0893092
+0.0912492
+0.0932002
+0.0951618
+0.0971331
+0.0988436
+0.0996996
+0.100383
+0.0992217
+0.0984425
+0.0977063
+0.0970139
+0.0963664
+0.0957646
+0.0952094
+0.0947017
+0.0927901
+0.0908028
+0.0888243
+0.086856
+0.0848986
+0.0829529
+0.0810197
+0.0790999
+0.0771946
+0.0753047
+0.0734316
+0.0715765
+0.0697179
+0.0678754
+0.0660542
+0.064256
+0.0624645
+0.0606904
+0.0589291
+0.0571912
+0.0554854
+0.0538148
+0.0521617
+0.0505192
+0.0489197
+0.0473612
+0.0458405
+0.0443758
+0.0429525
+0.0415884
+0.040287
+0.0390588
+0.0379109
+0.0368395
+0.03587
+0.0350109
+0.0342303
+0.0335047
+0.0329092
+0.0324509
+0.0320847
+0.0318293
+0.0316935
+0.0316508
+0.0317596
+0.032007
+0.0323835
+0.0329018
+0.0335157
+0.0342306
+0.0350541
+0.0359924
+0.0369802
+0.03798
+0.0390429
+0.0401971
+0.0414352
+0.0427497
+0.0441159
+0.0455152
+0.046975
+0.0484881
+0.0500477
+0.051605
+0.0532017
+0.0548141
+0.0564403
+0.0581037
+0.0598011
+0.0615004
+0.063229
+0.0649855
+0.0667677
+0.0685735
+0.0704013
+0.0722248
+0.0740648
+0.0759194
+0.0777915
+0.0796711
+0.0815526
+0.0834493
+0.08536
+0.0872804
+0.0892108
+0.091153
+0.0931062
+0.0950698
+0.0970431
+0.0985861
+0.0994443
+0.100241
+0.0989793
+0.0981982
+0.0974601
+0.0967659
+0.0961167
+0.0955134
+0.0949567
+0.0944476
+0.0931281
+0.0911475
+0.0891767
+0.0872163
+0.0852672
+0.0833301
+0.0814059
+0.0794954
+0.0775998
+0.07572
+0.0738518
+0.0719911
+0.0701398
+0.0683087
+0.0664908
+0.0646787
+0.0628722
+0.0610894
+0.0593339
+0.0576082
+0.0559034
+0.0541976
+0.0525273
+0.0508966
+0.0493094
+0.0477589
+0.0462512
+0.0447947
+0.043378
+0.0420273
+0.0407403
+0.0395255
+0.0383742
+0.037316
+0.0363471
+0.0354731
+0.0346699
+0.0339537
+0.0333662
+0.0328565
+0.032431
+0.0321492
+0.0319789
+0.0319366
+0.0320444
+0.0322896
+0.0326628
+0.0331767
+0.0337858
+0.034495
+0.0353123
+0.0362439
+0.0372134
+0.0381881
+0.0392533
+0.0404092
+0.0416277
+0.0429217
+0.0442819
+0.0456902
+0.0471376
+0.0486286
+0.0501468
+0.0517133
+0.0532882
+0.0548857
+0.0565229
+0.0581707
+0.0598351
+0.0615326
+0.0632603
+0.065016
+0.0667973
+0.0685857
+0.0703867
+0.0722093
+0.0740496
+0.075894
+0.0777435
+0.0796103
+0.0814933
+0.0833913
+0.0853025
+0.0872217
+0.0891534
+0.0910968
+0.0930512
+0.0950159
+0.0968154
+0.0982371
+0.0992313
+0.100132
+0.0987833
+0.0980022
+0.0972626
+0.096567
+0.0959165
+0.0953119
+0.094754
+0.0942438
+0.0935156
+0.0915433
+0.0895812
+0.08763
+0.0856903
+0.0837629
+0.0818489
+0.0799475
+0.0780576
+0.0761838
+0.0743238
+0.072466
+0.0706272
+0.068782
+0.0669416
+0.0651228
+0.0633276
+0.061558
+0.0597915
+0.0580473
+0.0563303
+0.0546374
+0.0529811
+0.0513648
+0.0497924
+0.0482529
+0.0467611
+0.0453039
+0.0438958
+0.042554
+0.0412848
+0.040087
+0.0389477
+0.0378808
+0.0369132
+0.0360529
+0.0352403
+0.0345207
+0.0338334
+0.0332764
+0.0328561
+0.0325532
+0.0323905
+0.0323488
+0.0324552
+0.0327084
+0.0330851
+0.0335926
+0.0341809
+0.0348941
+0.0357033
+0.0365883
+0.037537
+0.0384826
+0.0395161
+0.0406415
+0.0418514
+0.0431387
+0.0444698
+0.0458511
+0.0472936
+0.0487612
+0.0502754
+0.0518288
+0.0534009
+0.0550154
+0.0566562
+0.0582816
+0.059943
+0.0616374
+0.0633623
+0.0651119
+0.066863
+0.0686392
+0.0704389
+0.0722516
+0.0740625
+0.0758934
+0.077743
+0.0796098
+0.0814928
+0.0833908
+0.0852988
+0.0872181
+0.0891498
+0.0910933
+0.0928919
+0.09433
+0.0957966
+0.0972343
+0.0986986
+0.0999645
+0.0986152
+0.0978407
+0.097109
+0.0964153
+0.095766
+0.0951604
+0.0946017
+0.0940906
+0.0936281
+0.0919897
+0.0900373
+0.0880961
+0.0861669
+0.0842478
+0.0823401
+0.0804467
+0.0785688
+0.0767075
+0.0748481
+0.0729823
+0.0711156
+0.0692678
+0.0674407
+0.0656283
+0.0638179
+0.0620322
+0.0602731
+0.0585432
+0.0568381
+0.0551607
+0.0535166
+0.0519121
+0.0503519
+0.0488393
+0.0473468
+0.0458968
+0.0445052
+0.0431748
+0.0419153
+0.0407219
+0.0395916
+0.0385425
+0.0375919
+0.0366858
+0.0358247
+0.0350573
+0.0343808
+0.0338328
+0.0333955
+0.0330941
+0.0329341
+0.0328931
+0.0329977
+0.0332467
+0.0336369
+0.0341322
+0.0347092
+0.0354088
+0.0361601
+0.0369952
+0.0379232
+0.0388482
+0.0398723
+0.0409879
+0.0421839
+0.0434363
+0.0447425
+0.0461076
+0.047524
+0.0489915
+0.05049
+0.0520103
+0.0535772
+0.0551865
+0.0568346
+0.0584744
+0.0601304
+0.0618198
+0.0635218
+0.0652419
+0.0669895
+0.0687626
+0.0705298
+0.0723174
+0.0741267
+0.0759561
+0.0778042
+0.0796696
+0.0815512
+0.0834466
+0.0853513
+0.0872694
+0.0890197
+0.0904133
+0.0918379
+0.0932923
+0.094775
+0.0962665
+0.0977453
+0.0992504
+0.0984956
+0.0977201
+0.096988
+0.0963001
+0.0956529
+0.0950493
+0.0944927
+0.0939838
+0.0935235
+0.0924858
+0.0905441
+0.0886103
+0.0866878
+0.0847783
+0.0828827
+0.0810021
+0.0791354
+0.0772616
+0.0753769
+0.0735057
+0.0716419
+0.0697968
+0.067959
+0.0661399
+0.064344
+0.0625732
+0.0608298
+0.0591119
+0.0574165
+0.0557522
+0.0541253
+0.0525395
+0.0509963
+0.049471
+0.0479972
+0.0465702
+0.0451943
+0.0438848
+0.0426327
+0.0414516
+0.0403418
+0.0393126
+0.0382881
+0.0373355
+0.036469
+0.035696
+0.0350318
+0.0344941
+0.0340641
+0.0337687
+0.0336119
+0.0335717
+0.0336743
+0.0338972
+0.0342529
+0.0347337
+0.0352935
+0.0359596
+0.0366986
+0.0375217
+0.0383983
+0.0393121
+0.0403242
+0.0414276
+0.0425984
+0.0438163
+0.045092
+0.0464362
+0.0478429
+0.0492939
+0.0507592
+0.0522732
+0.0538338
+0.055437
+0.0570793
+0.0587483
+0.0603934
+0.0620456
+0.0637303
+0.065445
+0.0671687
+0.0689043
+0.0706652
+0.0724495
+0.0742556
+0.0760818
+0.0779269
+0.0797895
+0.0816683
+0.0835578
+0.0852532
+0.0865965
+0.0879739
+0.0893838
+0.0908246
+0.092295
+0.0937934
+0.0953152
+0.0968322
+0.0983513
+0.0984246
+0.0976485
+0.0969158
+0.0962274
+0.0955843
+0.0949855
+0.0944285
+0.0939192
+0.0934586
+0.0930261
+0.0910914
+0.0891686
+0.0872584
+0.0853617
+0.0834676
+0.0815771
+0.0796833
+0.0777822
+0.0758967
+0.0740279
+0.0721773
+0.0703463
+0.0685233
+0.0667196
+0.0649397
+0.0631838
+0.0614521
+0.0597439
+0.058067
+0.0564219
+0.0548149
+0.0532356
+0.0516922
+0.050188
+0.0487359
+0.0473307
+0.0459776
+0.0446768
+0.0434408
+0.0422823
+0.0411672
+0.0400431
+0.0390009
+0.0380415
+0.0371865
+0.0364434
+0.0357958
+0.0352435
+0.0348205
+0.0345315
+0.0343612
+0.0343218
+0.0343997
+0.0346119
+0.0349324
+0.0353609
+0.0358966
+0.0365454
+0.0373026
+0.0380938
+0.0389184
+0.0398267
+0.0408264
+0.0419168
+0.0430636
+0.0442674
+0.0455335
+0.0468627
+0.0482377
+0.0496592
+0.0511143
+0.0526181
+0.0541687
+0.0557623
+0.0573953
+0.0590299
+0.0606702
+0.0623362
+0.0640064
+0.0656794
+0.0673821
+0.0691124
+0.0708681
+0.0726474
+0.0744487
+0.0762703
+0.0781109
+0.0799692
+0.0815991
+0.0828922
+0.0842176
+0.0855772
+0.0869708
+0.0883966
+0.0898533
+0.0913393
+0.0928532
+0.0943901
+0.0959499
+0.0974931
+0.0984023
+0.0976261
+0.0968932
+0.0962046
+0.0955613
+0.0949642
+0.0944141
+0.0939058
+0.0934451
+0.0930337
+0.091687
+0.0897769
+0.0878586
+0.0859475
+0.0840449
+0.0821279
+0.0802249
+0.0783369
+0.0764651
+0.0746106
+0.0727748
+0.0709592
+0.0691517
+0.06736
+0.0655923
+0.0638496
+0.0621299
+0.0604406
+0.0587843
+0.0571514
+0.0555506
+0.0539911
+0.0524703
+0.0509891
+0.049555
+0.0481648
+0.0468265
+0.0455435
+0.0443317
+0.0431056
+0.041919
+0.0408156
+0.0397934
+0.0388536
+0.0380169
+0.037278
+0.0366324
+0.0360929
+0.0356799
+0.0353798
+0.0351792
+0.0351144
+0.0351861
+0.0353702
+0.0356591
+0.0360759
+0.0365882
+0.0372158
+0.0379596
+0.0387134
+0.0395455
+0.0404453
+0.04143
+0.042504
+0.0436183
+0.0448017
+0.0460508
+0.0473482
+0.0487095
+0.0501176
+0.0515601
+0.0530506
+0.0545877
+0.0561681
+0.057769
+0.0593693
+0.0610005
+0.0626636
+0.0642995
+0.0659677
+0.0676654
+0.069389
+0.0711379
+0.0729106
+0.0747055
+0.0765211
+0.0780644
+0.0792941
+0.0805646
+0.081874
+0.0832205
+0.0846023
+0.0860117
+0.0874532
+0.0889253
+0.0904266
+0.0919555
+0.0935072
+0.0950815
+0.096677
+0.0984287
+0.0976527
+0.0969201
+0.0962317
+0.0955886
+0.0949916
+0.0944418
+0.0939398
+0.0934829
+0.0930716
+0.0922789
+0.0903551
+0.0884438
+0.0865312
+0.0846153
+0.0827115
+0.0808222
+0.0789485
+0.0770916
+0.0752525
+0.0734328
+0.0716277
+0.0698306
+0.068053
+0.0662974
+0.0645685
+0.0628683
+0.0611993
+0.059556
+0.0579387
+0.0563602
+0.0548238
+0.0533271
+0.0518643
+0.0504426
+0.0490685
+0.0477453
+0.0464835
+0.0451734
+0.0439335
+0.0427699
+0.0416821
+0.04067
+0.039753
+0.0389378
+0.0382079
+0.0375782
+0.037035
+0.036582
+0.0362559
+0.0360602
+0.0359927
+0.036037
+0.0361976
+0.03648
+0.0368754
+0.0373851
+0.0380008
+0.0387172
+0.0394452
+0.0402621
+0.0411691
+0.0421209
+0.0431491
+0.0442481
+0.0454263
+0.0466478
+0.047923
+0.0492487
+0.0506177
+0.0520423
+0.0535186
+0.0550426
+0.0566103
+0.0581894
+0.059784
+0.0614073
+0.06303
+0.0646567
+0.0663158
+0.0680051
+0.0697223
+0.0714654
+0.0732325
+0.0746838
+0.0758418
+0.0770447
+0.0782904
+0.079577
+0.0809024
+0.0822648
+0.0836624
+0.0850882
+0.0865451
+0.0880324
+0.0895486
+0.0910922
+0.0926619
+0.094256
+0.0958681
+0.0985039
+0.0977285
+0.0969964
+0.0963086
+0.095666
+0.0950696
+0.0945201
+0.0940185
+0.0935656
+0.093161
+0.0928002
+0.090967
+0.0890515
+0.0871402
+0.0852382
+0.0833486
+0.0814741
+0.0796158
+0.0777747
+0.0759522
+0.0741497
+0.0723438
+0.0705589
+0.0687976
+0.0670615
+0.0653528
+0.0636735
+0.0620221
+0.0603914
+0.0587971
+0.0572423
+0.0557262
+0.0542459
+0.052804
+0.0513996
+0.0500421
+0.0486781
+0.0473372
+0.0460614
+0.0448532
+0.0437048
+0.0426282
+0.0416392
+0.040744
+0.0399479
+0.0391877
+0.0385372
+0.0379925
+0.037551
+0.0372332
+0.0370208
+0.036934
+0.0369771
+0.0371337
+0.037409
+0.0377851
+0.0382827
+0.0388936
+0.0395572
+0.0402759
+0.0410746
+0.0419243
+0.0428532
+0.0438718
+0.0449742
+0.046119
+0.0472935
+0.0485385
+0.0498483
+0.0512018
+0.0526105
+0.0540714
+0.0555802
+0.0571201
+0.0586814
+0.0602631
+0.0618747
+0.0634699
+0.0650856
+0.0667341
+0.068413
+0.0701202
+0.0714793
+0.0725562
+0.0736825
+0.074856
+0.0760745
+0.0773358
+0.078638
+0.079979
+0.0813568
+0.0827697
+0.0842107
+0.0856825
+0.0871845
+0.0887152
+0.0902731
+0.0918568
+0.0934651
+0.0950966
+0.0986277
+0.0978533
+0.0971222
+0.0964352
+0.0957935
+0.0951978
+0.0946491
+0.0941482
+0.0936959
+0.0932928
+0.0929397
+0.091599
+0.089697
+0.0877998
+0.0859125
+0.0840381
+0.0821793
+0.0803372
+0.0785131
+0.0767074
+0.0748984
+0.0731103
+0.0713446
+0.0696032
+0.0678877
+0.0662003
+0.0645427
+0.062901
+0.0612937
+0.0597236
+0.0581872
+0.0566865
+0.055232
+0.0538081
+0.0523786
+0.0509637
+0.0495878
+0.0482721
+0.0470217
+0.045842
+0.0447156
+0.0436639
+0.0426988
+0.0417878
+0.0409594
+0.0402183
+0.0395788
+0.0390324
+0.0386017
+0.0382685
+0.0380587
+0.0379744
+0.0380163
+0.0381727
+0.0384314
+0.0387973
+0.0392821
+0.0398377
+0.0404643
+0.0411665
+0.0419057
+0.0427389
+0.0436504
+0.0446509
+0.0457345
+0.0468539
+0.048012
+0.0492403
+0.0505259
+0.0518709
+0.0532629
+0.0547064
+0.0561837
+0.0576885
+0.0592338
+0.0607903
+0.0623849
+0.0639779
+0.0655849
+0.0672212
+0.0684532
+0.0694448
+0.0704905
+0.071588
+0.0727333
+0.073922
+0.0751556
+0.0764321
+0.0777494
+0.0791054
+0.0804983
+0.081926
+0.0833815
+0.0848677
+0.0863839
+0.0879285
+0.0895001
+0.0910973
+0.0927187
+0.0943631
+0.0987811
+0.0980269
+0.0972971
+0.0966114
+0.0959708
+0.0953763
+0.0948286
+0.0943287
+0.0938772
+0.0934749
+0.0931224
+0.0922786
+0.0903902
+0.0885029
+0.0866298
+0.0847719
+0.0829303
+0.0811061
+0.0792983
+0.0774927
+0.0757025
+0.0739338
+0.0721883
+0.0704677
+0.0687738
+0.0671087
+0.0654611
+0.0638431
+0.0622601
+0.0607065
+0.0591886
+0.0577014
+0.0562097
+0.054746
+0.053327
+0.0519258
+0.050576
+0.0492867
+0.0480627
+0.0469078
+0.0457934
+0.0447442
+0.0437653
+0.0428693
+0.0420608
+0.0413235
+0.0406827
+0.0401451
+0.0397042
+0.0393804
+0.0391766
+0.0390946
+0.0391353
+0.0392926
+0.0395483
+0.0398772
+0.0403031
+0.0408359
+0.0414432
+0.0421099
+0.0428329
+0.0436483
+0.0445413
+0.0455222
+0.0465609
+0.0476472
+0.0487864
+0.0499958
+0.0512702
+0.052605
+0.0539879
+0.055405
+0.056846
+0.0583268
+0.059842
+0.0613877
+0.0629486
+0.064517
+0.0656106
+0.0665129
+0.0674741
+0.068492
+0.0695532
+0.0706652
+0.0718268
+0.0730357
+0.0742896
+0.0755811
+0.076913
+0.0782835
+0.0796907
+0.0811326
+0.0826021
+0.0841021
+0.0856318
+0.0871898
+0.0887745
+0.0903845
+0.0920184
+0.0936751
+0.0989829
+0.0982301
+0.0975208
+0.0968368
+0.0961977
+0.0956046
+0.0950582
+0.0945595
+0.0941091
+0.0937078
+0.0933562
+0.093005
+0.091121
+0.0892491
+0.087392
+0.0855507
+0.0837262
+0.0819186
+0.0801192
+0.0783314
+0.0765608
+0.0748124
+0.0730879
+0.071389
+0.0697175
+0.0680659
+0.0664391
+0.0648455
+0.0632772
+0.0617331
+0.0601958
+0.0586679
+0.0571832
+0.0557451
+0.0543355
+0.052961
+0.0516383
+0.0503742
+0.0491493
+0.0479863
+0.0468839
+0.0458489
+0.0448877
+0.0440146
+0.0432037
+0.0424784
+0.0418553
+0.0413227
+0.0408945
+0.0405801
+0.0403824
+0.0403029
+0.0403262
+0.0404614
+0.040681
+0.0409903
+0.0414048
+0.0419008
+0.0424672
+0.0431372
+0.0438499
+0.0446468
+0.0455152
+0.0464357
+0.0474395
+0.0485089
+0.0496453
+0.0508345
+0.0520878
+0.0533956
+0.0547488
+0.0561374
+0.057557
+0.0590107
+0.0605088
+0.0620421
+0.0630212
+0.0638097
+0.0646628
+0.0655781
+0.0665529
+0.0675846
+0.0686707
+0.0697968
+0.0709727
+0.0721959
+0.073464
+0.0747749
+0.0761262
+0.0775148
+0.0789357
+0.0803912
+0.081874
+0.083387
+0.0849297
+0.0865003
+0.0880973
+0.0897195
+0.0913653
+0.0930337
+0.0992251
+0.0984817
+0.0977708
+0.0970975
+0.0964602
+0.0958687
+0.0953238
+0.0948265
+0.0943774
+0.0939773
+0.0936267
+0.0933262
+0.0918982
+0.0900424
+0.088202
+0.086378
+0.0845712
+0.0827715
+0.0809911
+0.0792218
+0.0774716
+0.0757442
+0.0740414
+0.0723649
+0.0707106
+0.0690766
+0.0674734
+0.0658823
+0.064308
+0.0627274
+0.0611843
+0.0596818
+0.0582229
+0.0568023
+0.0553905
+0.0540306
+0.0527267
+0.0514786
+0.0502746
+0.0491258
+0.0480404
+0.047022
+0.0460852
+0.0452096
+0.044409
+0.0437037
+0.0430984
+0.0425805
+0.042165
+0.0418602
+0.0416648
+0.0415655
+0.0415814
+0.0416863
+0.0418875
+0.0421614
+0.0425186
+0.0429652
+0.0435177
+0.0441609
+0.0448921
+0.0457033
+0.0465169
+0.0474178
+0.0484006
+0.0494485
+0.0505638
+0.0517394
+0.0529668
+0.054252
+0.0555669
+0.0569355
+0.0583323
+0.0597672
+0.0607151
+0.0613785
+0.0621111
+0.062911
+0.0637762
+0.064704
+0.0656918
+0.0667368
+0.0678366
+0.0689871
+0.0701765
+0.0714134
+0.0726952
+0.0740197
+0.0753845
+0.0767876
+0.078227
+0.0796988
+0.0811944
+0.082721
+0.0842769
+0.0858605
+0.0874698
+0.0891034
+0.0907604
+0.0924397
+0.0995037
+0.0987644
+0.0980536
+0.0973828
+0.0967569
+0.0961763
+0.0956333
+0.0951376
+0.09469
+0.0942911
+0.0939417
+0.0936422
+0.0927206
+0.0908817
+0.0890586
+0.0872525
+0.0854538
+0.0836731
+0.0819122
+0.0801622
+0.078433
+0.0767273
+0.0750468
+0.0733907
+0.0717478
+0.0701208
+0.0685238
+0.0668992
+0.0653078
+0.0637519
+0.0622343
+0.0607558
+0.0593012
+0.0578675
+0.0564823
+0.0551493
+0.0538693
+0.0526345
+0.0514567
+0.0503273
+0.0492587
+0.0482577
+0.0473148
+0.0464473
+0.0456685
+0.0449829
+0.044395
+0.0438911
+0.0434882
+0.0431905
+0.0429835
+0.0428872
+0.0428679
+0.0429136
+0.0430659
+0.0433285
+0.0436779
+0.0441129
+0.0446477
+0.0452652
+0.0459789
+0.0467654
+0.0475675
+0.0484489
+0.0494116
+0.050435
+0.0515305
+0.052692
+0.0539025
+0.0551647
+0.0564581
+0.0578013
+0.0587265
+0.0592503
+0.0598498
+0.0605227
+0.0612658
+0.0620767
+0.0629533
+0.0638931
+0.0648932
+0.0659509
+0.0670636
+0.0682284
+0.0694404
+0.0706901
+0.0719848
+0.0733221
+0.0746997
+0.0761155
+0.0775672
+0.0790528
+0.0805612
+0.0820995
+0.083667
+0.0852619
+0.0868828
+0.0885282
+0.0901968
+0.0918869
+0.0998297
+0.0990927
+0.0983845
+0.0977159
+0.0970922
+0.0965142
+0.0959827
+0.0954979
+0.095052
+0.0946546
+0.0943066
+0.0940083
+0.0935871
+0.0917655
+0.0899604
+0.0881634
+0.086383
+0.0846218
+0.0828811
+0.0811509
+0.0794432
+0.0777596
+0.0760946
+0.0744337
+0.0728009
+0.07115
+0.069518
+0.0679174
+0.0663505
+0.0648198
+0.0633278
+0.0618544
+0.0604018
+0.0589947
+0.0576366
+0.0563287
+0.055062
+0.0538545
+0.0526919
+0.051564
+0.050506
+0.049522
+0.0485977
+0.0477535
+0.0469963
+0.0463305
+0.0457556
+0.0452633
+0.0448718
+0.0445659
+0.0443523
+0.0441957
+0.0441301
+0.0441696
+0.0443175
+0.0445727
+0.0449102
+0.04533
+0.0458337
+0.0464355
+0.047115
+0.0478632
+0.0486748
+0.0495371
+0.0504798
+0.051482
+0.0525464
+0.0536708
+0.0548597
+0.056105
+0.0570595
+0.0574395
+0.0578988
+0.0584301
+0.0590379
+0.05972
+0.0604737
+0.0612965
+0.0621857
+0.0631383
+0.0641517
+0.0652229
+0.0663492
+0.0675277
+0.0687559
+0.0700279
+0.0713347
+0.0726839
+0.0740734
+0.0755009
+0.0769643
+0.0784615
+0.079983
+0.0815322
+0.0831104
+0.0847158
+0.0863469
+0.0880023
+0.0896807
+0.0913804
+0.100202
+0.0994683
+0.0987629
+0.0980969
+0.0974756
+0.0968998
+0.0963704
+0.0958882
+0.0954538
+0.0950673
+0.0947207
+0.0944237
+0.0941768
+0.0926928
+0.0908978
+0.0891181
+0.0873572
+0.085616
+0.0838952
+0.0821861
+0.0805003
+0.078815
+0.0771505
+0.0754791
+0.0738127
+0.0721744
+0.070566
+0.0689897
+0.0674477
+0.0659425
+0.0644553
+0.0629865
+0.0615606
+0.0601806
+0.0588483
+0.0575538
+0.0563058
+0.0550919
+0.0539309
+0.0528294
+0.0517972
+0.0508386
+0.0499438
+0.0491227
+0.048387
+0.0477405
+0.0471753
+0.0466978
+0.0462936
+0.0459356
+0.04568
+0.0455251
+0.045458
+0.0454964
+0.04564
+0.0458879
+0.046193
+0.0465845
+0.0470748
+0.047645
+0.048286
+0.0490132
+0.0498099
+0.0506802
+0.0515944
+0.0525733
+0.0536175
+0.0547199
+0.0557563
+0.0559739
+0.056276
+0.0566613
+0.057128
+0.0576742
+0.058297
+0.0589876
+0.0597506
+0.0605832
+0.0614827
+0.062446
+0.0634704
+0.064553
+0.0656907
+0.0668809
+0.0681207
+0.0694076
+0.0707385
+0.0721045
+0.0735071
+0.0749453
+0.0764194
+0.0779271
+0.079461
+0.0810202
+0.0826081
+0.0842231
+0.0858636
+0.0875282
+0.0892155
+0.0909238
+0.100622
+0.0998905
+0.0991882
+0.098525
+0.0979065
+0.0973333
+0.0968063
+0.0963262
+0.0958938
+0.0955097
+0.0951745
+0.0948879
+0.0946422
+0.0936548
+0.0918763
+0.090116
+0.088375
+0.0866543
+0.0849516
+0.083254
+0.0815625
+0.079869
+0.0781785
+0.0765082
+0.0748647
+0.0732499
+0.0716657
+0.0701141
+0.0685974
+0.0670815
+0.0655982
+0.0641553
+0.0627558
+0.0614025
+0.060094
+0.0587952
+0.0575505
+0.0563635
+0.055229
+0.0541539
+0.0531475
+0.0522136
+0.0513481
+0.0505498
+0.0498302
+0.0491867
+0.0485923
+0.0480904
+0.0476628
+0.0473151
+0.047067
+0.046916
+0.0468508
+0.0468881
+0.0470254
+0.0472268
+0.0475155
+0.0478952
+0.048353
+0.0489013
+0.0495242
+0.0502173
+0.0509952
+0.0518437
+0.0527629
+0.0537304
+0.054751
+0.0548998
+0.0550415
+0.0552619
+0.0555679
+0.055958
+0.0564305
+0.0569834
+0.0576143
+0.0583207
+0.0590998
+0.0599415
+0.0608504
+0.0618237
+0.0628582
+0.0639511
+0.0650994
+0.0663002
+0.0675507
+0.0688482
+0.0701897
+0.0715661
+0.0729823
+0.074436
+0.0759251
+0.0774475
+0.0789934
+0.0805645
+0.0821612
+0.0837848
+0.0854337
+0.0871065
+0.0888019
+0.090518
+0.101078
+0.10035
+0.0996598
+0.0989999
+0.0983843
+0.0978139
+0.0972895
+0.0968118
+0.0963816
+0.0959994
+0.0956659
+0.0953816
+0.0951469
+0.0946488
+0.0928892
+0.0911478
+0.0894253
+0.0877237
+0.0860271
+0.0843061
+0.0825929
+0.0809026
+0.0792331
+0.0775855
+0.0759653
+0.0743744
+0.0728147
+0.0712674
+0.0697354
+0.0682394
+0.0667818
+0.0653651
+0.063992
+0.0626585
+0.0613401
+0.0600683
+0.0588505
+0.0576902
+0.0565821
+0.0555333
+0.0545523
+0.0536329
+0.0527771
+0.0519871
+0.0512482
+0.0505832
+0.0500054
+0.0495179
+0.0490915
+0.0487541
+0.0485133
+0.048366
+0.0483029
+0.0483321
+0.0484291
+0.0486088
+0.0488725
+0.0492239
+0.0496694
+0.0502067
+0.0508107
+0.0514865
+0.0522455
+0.0530684
+0.0539394
+0.0542395
+0.0542069
+0.0542628
+0.0544056
+0.0546285
+0.054938
+0.0553326
+0.0558104
+0.0563694
+0.0570071
+0.0577209
+0.0585082
+0.0593658
+0.0602909
+0.0612733
+0.062317
+0.0634192
+0.0645769
+0.0657873
+0.0670474
+0.0683544
+0.0697054
+0.0710912
+0.0725167
+0.0739795
+0.0754777
+0.0770089
+0.0785715
+0.0801593
+0.0817703
+0.0834018
+0.0850582
+0.0867382
+0.0884406
+0.0901636
+0.101575
+0.100851
+0.10017
+0.0995206
+0.0989083
+0.0983409
+0.0978193
+0.0973443
+0.0969164
+0.0965364
+0.0962048
+0.095922
+0.0956886
+0.0955049
+0.0939302
+0.0922077
+0.0905054
+0.0887917
+0.0870565
+0.0853422
+0.0836502
+0.0819817
+0.0803336
+0.078709
+0.0771125
+0.075539
+0.0739658
+0.0724246
+0.0709177
+0.0694472
+0.0680154
+0.066625
+0.0652651
+0.0639246
+0.062632
+0.0613883
+0.0601972
+0.0590634
+0.0579865
+0.0569593
+0.0559841
+0.0550672
+0.0542001
+0.0534066
+0.0526777
+0.052031
+0.0514695
+0.0509855
+0.0505748
+0.0502473
+0.0500137
+0.0498649
+0.0497907
+0.0497699
+0.0498455
+0.050017
+0.0502709
+0.0506125
+0.0510363
+0.0515189
+0.0520743
+0.0527149
+0.0534377
+0.0540171
+0.0538063
+0.0536841
+0.0536512
+0.0537077
+0.0538513
+0.0540765
+0.0543892
+0.0547877
+0.0552702
+0.0558346
+0.0564783
+0.0571988
+0.0579931
+0.0588583
+0.0597913
+0.0607889
+0.0618431
+0.0629536
+0.0641197
+0.0653385
+0.0666071
+0.0679227
+0.0692825
+0.0706811
+0.0721147
+0.0735855
+0.0750915
+0.0766305
+0.0782006
+0.0797999
+0.0814265
+0.0830717
+0.0847376
+0.0864238
+0.0881323
+0.0898612
+0.102118
+0.101398
+0.10072
+0.100082
+0.099476
+0.0989119
+0.0983933
+0.097921
+0.0974957
+0.0971179
+0.0967883
+0.0965073
+0.0962753
+0.0960927
+0.0950096
+0.093307
+0.0915646
+0.0898295
+0.0881147
+0.0864214
+0.0847509
+0.0831046
+0.0814781
+0.0798696
+0.0782678
+0.0766879
+0.0751386
+0.0736218
+0.0721398
+0.0706945
+0.0692884
+0.0679041
+0.0665446
+0.0652304
+0.0639643
+0.0627469
+0.0615822
+0.0604743
+0.059402
+0.058373
+0.0574032
+0.0564877
+0.0556434
+0.0548615
+0.0541523
+0.0535233
+0.0529704
+0.0524928
+0.052103
+0.0517902
+0.0515455
+0.0513714
+0.0512577
+0.0512375
+0.0513109
+0.0514717
+0.0517127
+0.0519922
+0.0523595
+0.0528152
+0.0533571
+0.0539825
+0.0538501
+0.0535491
+0.0533365
+0.0532133
+0.05318
+0.053237
+0.0533812
+0.0536085
+0.0539238
+0.0543257
+0.0548123
+0.0553814
+0.0560303
+0.0567565
+0.0575569
+0.0584285
+0.0593682
+0.0603729
+0.0614342
+0.062552
+0.0637255
+0.0649517
+0.0662276
+0.0675506
+0.0689178
+0.0703266
+0.0717747
+0.0732549
+0.0747675
+0.0763131
+0.0778895
+0.0794952
+0.0811281
+0.0827869
+0.0844657
+0.0861636
+0.0878775
+0.0896114
+0.102704
+0.101988
+0.101314
+0.100674
+0.100078
+0.0995202
+0.0990048
+0.0985355
+0.0981128
+0.0977374
+0.0974099
+0.0971306
+0.0969002
+0.0967187
+0.0961109
+0.0943577
+0.0926231
+0.0909082
+0.0892142
+0.0875422
+0.0858935
+0.0842601
+0.0826287
+0.0810191
+0.0794335
+0.0778771
+0.076352
+0.0748598
+0.0734027
+0.0719822
+0.0705755
+0.0692042
+0.0678708
+0.0665828
+0.0653428
+0.0641517
+0.0629886
+0.061875
+0.0608075
+0.0597996
+0.0588414
+0.0579486
+0.057126
+0.056364
+0.0556739
+0.0550582
+0.0545109
+0.0540469
+0.053668
+0.0533246
+0.0530695
+0.0528853
+0.0527749
+0.0527409
+0.0527774
+0.0528939
+0.0530935
+0.053367
+0.0537249
+0.0541692
+0.0543299
+0.0538575
+0.0534706
+0.0531674
+0.0529532
+0.0528291
+0.0527956
+0.0528531
+0.0529976
+0.0532265
+0.0535441
+0.0539488
+0.0544388
+0.0550117
+0.055665
+0.0563958
+0.0572013
+0.0580783
+0.0590236
+0.0600339
+0.0611012
+0.0622249
+0.0634045
+0.0646368
+0.0659188
+0.0672478
+0.0686211
+0.0700359
+0.0714899
+0.0729807
+0.074506
+0.0760574
+0.0776391
+0.0792498
+0.0808877
+0.0825513
+0.084239
+0.0859489
+0.0876735
+0.0892175
+0.103334
+0.102622
+0.101946
+0.10131
+0.100718
+0.10017
+0.0996607
+0.0991945
+0.0987746
+0.0984018
+0.0980764
+0.0977991
+0.0975702
+0.09739
+0.0971693
+0.0954356
+0.0937209
+0.0920265
+0.0903534
+0.0887027
+0.0870455
+0.0854109
+0.0837946
+0.0822041
+0.0806417
+0.0791092
+0.0776082
+0.0761407
+0.0746891
+0.0732685
+0.0718866
+0.0705457
+0.0692409
+0.0679788
+0.0667365
+0.065541
+0.064398
+0.0633
+0.0622555
+0.0612614
+0.0603249
+0.0594545
+0.0586499
+0.0579042
+0.0572327
+0.0566266
+0.0560946
+0.0556183
+0.0552001
+0.0548663
+0.0546022
+0.0543797
+0.0542381
+0.0541849
+0.0542105
+0.054317
+0.0545114
+0.0547857
+0.0551271
+0.0546007
+0.0540419
+0.053567
+0.0531781
+0.0528737
+0.0526584
+0.0525335
+0.0524999
+0.0525576
+0.0527024
+0.0529325
+0.0532518
+0.0536588
+0.0541514
+0.0547273
+0.0553839
+0.0561184
+0.0569278
+0.057809
+0.0587586
+0.0597734
+0.0608452
+0.0619736
+0.0631579
+0.0643949
+0.0656817
+0.0670154
+0.0683933
+0.0698127
+0.0712713
+0.0727665
+0.0742963
+0.0758585
+0.0774499
+0.0790644
+0.0807061
+0.0823733
+0.0840646
+0.0857785
+0.0873765
+0.0888065
+0.104006
+0.103295
+0.102621
+0.101989
+0.101401
+0.100856
+0.100357
+0.0998972
+0.0994803
+0.0991101
+0.0987871
+0.0985118
+0.0982845
+0.0981057
+0.0979755
+0.0965511
+0.0948566
+0.0931828
+0.0915113
+0.0898513
+0.0882121
+0.086592
+0.0849973
+0.0834298
+0.0818908
+0.0803821
+0.0788875
+0.07742
+0.0759873
+0.0745914
+0.0732345
+0.0719187
+0.0706205
+0.0693536
+0.0681337
+0.0669632
+0.065844
+0.0647664
+0.0637402
+0.0627642
+0.0618505
+0.0610018
+0.0602105
+0.0594843
+0.0588295
+0.0582227
+0.0576588
+0.0571719
+0.0567397
+0.0563756
+0.0560877
+0.0558646
+0.0557268
+0.0556687
+0.0556863
+0.055783
+0.0559557
+0.0557658
+0.0550448
+0.0544024
+0.0538416
+0.0533648
+0.0529745
+0.0526696
+0.0524534
+0.0523281
+0.0522943
+0.0523523
+0.0524969
+0.052728
+0.0530485
+0.053457
+0.0539515
+0.0545295
+0.0551885
+0.0559256
+0.0567377
+0.0576217
+0.0585744
+0.0595924
+0.0606674
+0.061799
+0.0629866
+0.0642269
+0.065517
+0.066854
+0.0682351
+0.0696578
+0.0711195
+0.0726179
+0.0741507
+0.0757159
+0.0773115
+0.0789356
+0.0805836
+0.0822533
+0.083947
+0.0856081
+0.087012
+0.088448
+0.104718
+0.104007
+0.103337
+0.10271
+0.102126
+0.101586
+0.10109
+0.10064
+0.100229
+0.0998615
+0.0995409
+0.0992677
+0.0990422
+0.0988647
+0.0987355
+0.097703
+0.0960193
+0.0943363
+0.0926735
+0.0910319
+0.0894091
+0.087811
+0.086239
+0.0846944
+0.0831625
+0.0816543
+0.0801775
+0.0787341
+0.0773257
+0.0759545
+0.0746155
+0.073291
+0.072007
+0.070765
+0.0695699
+0.068424
+0.0673262
+0.0662711
+0.0652594
+0.0643065
+0.0634151
+0.0625852
+0.0618093
+0.0610678
+0.0603842
+0.05977
+0.0591962
+0.058684
+0.0582497
+0.0578951
+0.0575993
+0.0573821
+0.0572479
+0.057184
+0.0571848
+0.0572696
+0.0564563
+0.055658
+0.0549355
+0.0542919
+0.0537299
+0.0532522
+0.052861
+0.0525561
+0.0523395
+0.0522139
+0.05218
+0.0522381
+0.0523824
+0.0526139
+0.0529352
+0.0533446
+0.05384
+0.0544192
+0.0550795
+0.055818
+0.0566317
+0.0575174
+0.0584718
+0.0594915
+0.0605683
+0.0617018
+0.0628911
+0.0641333
+0.0654252
+0.066764
+0.068147
+0.0695715
+0.071035
+0.0725351
+0.0740697
+0.0756365
+0.0772337
+0.0788595
+0.080512
+0.0821897
+0.0838865
+0.0852923
+0.0867014
+0.0881424
+0.105466
+0.10476
+0.104095
+0.103473
+0.102893
+0.102357
+0.101865
+0.101418
+0.101017
+0.100655
+0.100337
+0.100066
+0.0998421
+0.0996661
+0.0995379
+0.0988561
+0.0971714
+0.0955073
+0.0938648
+0.0922443
+0.0906433
+0.0890574
+0.0874972
+0.0859592
+0.0844441
+0.0829592
+0.0815061
+0.0800866
+0.0787024
+0.0773327
+0.0759924
+0.0746923
+0.0734328
+0.0722154
+0.0710446
+0.0699225
+0.068839
+0.0678044
+0.066816
+0.0658856
+0.0650158
+0.0641611
+0.0633595
+0.062623
+0.0619382
+0.0612977
+0.0607242
+0.0602249
+0.0598018
+0.0594443
+0.0591528
+0.0589411
+0.0587918
+0.058711
+0.0582469
+0.0573062
+0.0564349
+0.0556363
+0.0549135
+0.0542696
+0.0537074
+0.0532293
+0.0528376
+0.0525336
+0.0523171
+0.0521914
+0.0521576
+0.0522157
+0.0523593
+0.052591
+0.0529124
+0.0533219
+0.0538176
+0.054397
+0.0550576
+0.0557964
+0.0566104
+0.0574964
+0.0584511
+0.0594712
+0.0605484
+0.0616822
+0.0628719
+0.0641144
+0.0654068
+0.066746
+0.0681293
+0.0695542
+0.071018
+0.0725185
+0.0740534
+0.0756206
+0.0772181
+0.0788442
+0.080497
+0.082175
+0.0836503
+0.0850319
+0.0864452
+0.0878904
+0.106254
+0.105554
+0.104894
+0.104276
+0.103701
+0.103169
+0.102681
+0.102237
+0.101839
+0.101487
+0.101174
+0.100905
+0.100683
+0.100509
+0.100382
+0.100022
+0.098357
+0.0967098
+0.0950829
+0.0934693
+0.0918795
+0.0903148
+0.0887759
+0.0872547
+0.0857625
+0.0843008
+0.0828712
+0.0814685
+0.0800776
+0.078723
+0.0774068
+0.0761308
+0.0748956
+0.0737022
+0.072555
+0.0714442
+0.0703841
+0.069373
+0.0684021
+0.067454
+0.0665617
+0.0657074
+0.0649159
+0.0641701
+0.063477
+0.0628509
+0.0622917
+0.0618051
+0.0613903
+0.0610267
+0.0607274
+0.0605061
+0.060356
+0.0593037
+0.0582972
+0.0573568
+0.0564857
+0.0556872
+0.0549644
+0.0543205
+0.0537582
+0.05328
+0.0528884
+0.0525852
+0.0523694
+0.0522439
+0.0522101
+0.0522681
+0.0524144
+0.0526492
+0.0529736
+0.053386
+0.0538839
+0.054463
+0.0551228
+0.0558607
+0.0566738
+0.0575588
+0.0585125
+0.0595316
+0.0606076
+0.0617404
+0.062929
+0.0641704
+0.0654616
+0.0667997
+0.068182
+0.0696058
+0.0710685
+0.072568
+0.0741018
+0.075668
+0.0772646
+0.0788897
+0.0805416
+0.0820674
+0.083427
+0.0848131
+0.08623
+0.0876787
+0.107081
+0.106386
+0.105732
+0.105119
+0.104548
+0.10402
+0.103536
+0.103096
+0.102702
+0.102352
+0.102049
+0.101785
+0.101565
+0.101392
+0.101266
+0.101187
+0.0995526
+0.097924
+0.0963116
+0.0947188
+0.0931503
+0.0916073
+0.0900841
+0.0885854
+0.087116
+0.0856774
+0.0842495
+0.0828473
+0.0814799
+0.0801491
+0.0788566
+0.0776045
+0.0763907
+0.0752211
+0.0740874
+0.0729999
+0.0719436
+0.0709149
+0.0699323
+0.0690003
+0.0681062
+0.0672715
+0.0664714
+0.0657296
+0.0650531
+0.0644412
+0.0638917
+0.0634076
+0.0629796
+0.0626131
+0.0623215
+0.0616169
+0.0604965
+0.0594294
+0.0584251
+0.0574867
+0.0566176
+0.055821
+0.0551
+0.0544577
+0.0538968
+0.0534199
+0.0530293
+0.0527269
+0.0525111
+0.052386
+0.0523522
+0.0524101
+0.0525566
+0.0527907
+0.0531143
+0.0535256
+0.0540227
+0.0546032
+0.0552645
+0.0560037
+0.0568179
+0.0577036
+0.0586557
+0.0596723
+0.0607459
+0.0618761
+0.0630622
+0.0643011
+0.0655897
+0.0669252
+0.068305
+0.0697262
+0.0711865
+0.0726835
+0.074215
+0.0757788
+0.0773731
+0.078996
+0.0805726
+0.0818984
+0.0832502
+0.0846365
+0.0860563
+0.0875079
+0.107947
+0.107257
+0.106608
+0.106
+0.105434
+0.104911
+0.104431
+0.103995
+0.103603
+0.103257
+0.102956
+0.102701
+0.102486
+0.102314
+0.102189
+0.102112
+0.10078
+0.0991692
+0.0975739
+0.096002
+0.0944548
+0.0929307
+0.0914262
+0.0899498
+0.0884898
+0.0870519
+0.0856396
+0.0842605
+0.0829165
+0.081609
+0.0803401
+0.0791082
+0.0779178
+0.0767455
+0.075608
+0.074516
+0.0734649
+0.0724523
+0.0714889
+0.0705595
+0.0696819
+0.0688353
+0.0680487
+0.0673243
+0.0666527
+0.0660437
+0.0655022
+0.0650202
+0.0645911
+0.0642072
+0.0629866
+0.0618196
+0.0606988
+0.0596354
+0.0586346
+0.0576996
+0.0568338
+0.0560402
+0.0553221
+0.0546824
+0.0541238
+0.0536489
+0.05326
+0.0529586
+0.0527435
+0.0526189
+0.0525853
+0.052643
+0.0527894
+0.0530225
+0.0533446
+0.0537542
+0.0542491
+0.0548273
+0.0554859
+0.0562222
+0.0570333
+0.0579159
+0.0588668
+0.0598828
+0.0609606
+0.0620889
+0.063271
+0.0645059
+0.0657905
+0.067122
+0.0684978
+0.0699151
+0.0713715
+0.0728647
+0.0743925
+0.0759527
+0.0775434
+0.0791592
+0.0804372
+0.0817539
+0.0831074
+0.0844961
+0.0859183
+0.0873722
+0.108849
+0.108165
+0.107521
+0.106919
+0.106358
+0.105839
+0.105363
+0.104931
+0.104543
+0.1042
+0.103902
+0.103649
+0.103442
+0.103275
+0.103151
+0.103074
+0.101894
+0.100322
+0.0987739
+0.0972501
+0.0957521
+0.0942813
+0.0927944
+0.09132
+0.0898737
+0.0884522
+0.0870626
+0.0857065
+0.0843854
+0.0831011
+0.081842
+0.0805988
+0.0793957
+0.0782354
+0.0771199
+0.0760489
+0.0750113
+0.0740163
+0.0730618
+0.0721402
+0.0712555
+0.0704278
+0.0696493
+0.0689275
+0.0682685
+0.0676739
+0.0671198
+0.0666323
+0.0657383
+0.0644723
+0.0632569
+0.062095
+0.0609792
+0.0599208
+0.0589248
+0.0579946
+0.0571332
+0.0563438
+0.0556296
+0.0549935
+0.0544381
+0.053966
+0.0535794
+0.0532792
+0.0530654
+0.0529416
+0.0529082
+0.0529655
+0.0531115
+0.0533433
+0.0536635
+0.0540706
+0.0545627
+0.0551375
+0.0557925
+0.0565249
+0.0573316
+0.0582097
+0.0591559
+0.060167
+0.0612398
+0.0623711
+0.0635547
+0.0647841
+0.0660633
+0.0673895
+0.0687599
+0.0701719
+0.0716231
+0.0731112
+0.0746339
+0.0761892
+0.0777751
+0.0790698
+0.0803492
+0.0816673
+0.0830223
+0.0844124
+0.0858359
+0.0872912
+0.109786
+0.109108
+0.10847
+0.107872
+0.107316
+0.106802
+0.106331
+0.105903
+0.105519
+0.105179
+0.104883
+0.104633
+0.104428
+0.104264
+0.104141
+0.103664
+0.102072
+0.100503
+0.0989575
+0.0974365
+0.0959415
+0.0944736
+0.0930342
+0.0916245
+0.090246
+0.088899
+0.0875846
+0.0863059
+0.0850643
+0.0838616
+0.0826995
+0.0815796
+0.0805038
+0.0794738
+0.0784914
+0.0775585
+0.0765726
+0.0755982
+0.0746261
+0.0737062
+0.0728406
+0.0720294
+0.0712644
+0.0705569
+0.0699007
+0.0692944
+0.0687294
+0.0673772
+0.06607
+0.0648105
+0.0636015
+0.062446
+0.0613366
+0.0602845
+0.0592946
+0.0583703
+0.0575145
+0.0567305
+0.0560212
+0.0553895
+0.0548382
+0.0543695
+0.0539858
+0.0536873
+0.0534752
+0.0533523
+0.0533192
+0.053376
+0.0535215
+0.0537515
+0.0540693
+0.0544734
+0.0549619
+0.0555326
+0.056183
+0.0569103
+0.0577116
+0.058584
+0.0595242
+0.0605292
+0.0615957
+0.0627206
+0.0639009
+0.0651329
+0.0664055
+0.0677249
+0.0690887
+0.0704941
+0.0719388
+0.0734205
+0.0749369
+0.076486
+0.0778019
+0.0790411
+0.0803209
+0.0816395
+0.0829949
+0.0843855
+0.0858094
+0.0872651
+0.110758
+0.110086
+0.109454
+0.108862
+0.108311
+0.107801
+0.107334
+0.10691
+0.10653
+0.106193
+0.1059
+0.105652
+0.105449
+0.105289
+0.105167
+0.103885
+0.102297
+0.100731
+0.0991891
+0.0976718
+0.0961804
+0.0947162
+0.0932805
+0.0918746
+0.0904999
+0.0891568
+0.0878463
+0.0865714
+0.0853337
+0.0841348
+0.0829765
+0.0818604
+0.0807883
+0.079762
+0.0787832
+0.0778515
+0.0769692
+0.0761396
+0.0753646
+0.0746459
+0.0739851
+0.0733837
+0.0728433
+0.0721822
+0.071537
+0.0705031
+0.0691162
+0.0677717
+0.0664722
+0.0652205
+0.0640193
+0.0628715
+0.0617697
+0.0607251
+0.0597425
+0.0588252
+0.0579761
+0.0571985
+0.056495
+0.0558687
+0.0553221
+0.0548577
+0.0544774
+0.054181
+0.0539708
+0.0538491
+0.0538162
+0.0538726
+0.0540173
+0.0542452
+0.0545601
+0.0549606
+0.0554448
+0.0560106
+0.0566555
+0.0573768
+0.0581717
+0.0590373
+0.0599704
+0.060968
+0.062027
+0.0631442
+0.0643167
+0.0655409
+0.0668057
+0.0681174
+0.0694735
+0.0708713
+0.0723085
+0.0737827
+0.0752918
+0.0766382
+0.0778343
+0.079073
+0.0803523
+0.0816704
+0.0830253
+0.0844154
+0.0858389
+0.0872941
+0.111765
+0.111099
+0.110472
+0.109885
+0.10934
+0.108835
+0.108373
+0.107953
+0.107576
+0.107242
+0.106952
+0.106707
+0.106506
+0.106349
+0.105758
+0.104152
+0.102568
+0.101006
+0.0994684
+0.0979554
+0.0964684
+0.0950087
+0.0935775
+0.0921761
+0.0908059
+0.0894674
+0.0881615
+0.0868913
+0.0856582
+0.084464
+0.0833102
+0.0821986
+0.081129
+0.0801032
+0.0791246
+0.0781953
+0.0773168
+0.076491
+0.0757196
+0.0750043
+0.0743467
+0.0737483
+0.0732105
+0.0727349
+0.0723178
+0.0709479
+0.0695698
+0.0682343
+0.0669438
+0.0657011
+0.0645088
+0.0633698
+0.0622769
+0.0612409
+0.0602668
+0.0593575
+0.0585162
+0.0577458
+0.0570492
+0.056429
+0.0558879
+0.0554281
+0.0550518
+0.054758
+0.05455
+0.0544295
+0.0543971
+0.0544528
+0.0545964
+0.054822
+0.0551336
+0.05553
+0.0560093
+0.0565694
+0.057208
+0.0579225
+0.05871
+0.0595678
+0.0604927
+0.0614818
+0.0625321
+0.0636405
+0.0648039
+0.0660191
+0.0672749
+0.0685777
+0.0699248
+0.0713138
+0.0727422
+0.0742078
+0.0755838
+0.0767338
+0.0779284
+0.0791656
+0.0804434
+0.08176
+0.0831135
+0.0845021
+0.0859241
+0.087378
+0.112805
+0.112145
+0.111524
+0.110943
+0.110403
+0.109903
+0.109445
+0.109029
+0.108656
+0.108326
+0.108039
+0.107796
+0.107597
+0.107442
+0.106065
+0.104464
+0.102885
+0.101328
+0.0997951
+0.0982871
+0.0968052
+0.0953506
+0.0939246
+0.0925285
+0.0911637
+0.0898305
+0.0885299
+0.087265
+0.0860373
+0.0848467
+0.0836945
+0.0825843
+0.0815178
+0.0804969
+0.0795232
+0.0785986
+0.0777247
+0.0769032
+0.076136
+0.0754246
+0.0747707
+0.0741757
+0.0736411
+0.0731682
+0.0727537
+0.0714571
+0.070089
+0.0687636
+0.0674832
+0.0662506
+0.0650684
+0.0639394
+0.0628564
+0.0618301
+0.0608654
+0.0599652
+0.0591326
+0.0583703
+0.0576812
+0.0570679
+0.0565329
+0.0560784
+0.0557065
+0.0554156
+0.0552101
+0.0550911
+0.055059
+0.0551141
+0.055256
+0.0554794
+0.0557874
+0.0561791
+0.0566529
+0.0572068
+0.0578383
+0.0585451
+0.0593244
+0.0601733
+0.0610891
+0.0620687
+0.0631092
+0.0642076
+0.065361
+0.0665661
+0.0678117
+0.0691043
+0.0704414
+0.0718204
+0.0732389
+0.0746431
+0.075744
+0.0768916
+0.0780838
+0.0793186
+0.080594
+0.0819082
+0.0832593
+0.0846455
+0.0860651
+0.0875166
+0.113878
+0.113224
+0.112609
+0.112034
+0.111498
+0.111004
+0.11055
+0.110139
+0.109769
+0.109442
+0.109158
+0.108918
+0.108721
+0.108034
+0.106417
+0.104821
+0.103247
+0.101696
+0.100169
+0.0986663
+0.0971902
+0.0957415
+0.0943214
+0.0929312
+0.0915724
+0.0902452
+0.0889493
+0.0876869
+0.0864615
+0.0852748
+0.0841284
+0.083024
+0.0819633
+0.080948
+0.0799798
+0.0790605
+0.0781918
+0.0773753
+0.0766128
+0.0759059
+0.0752562
+0.074665
+0.074134
+0.0736643
+0.0732525
+0.0720293
+0.0706724
+0.0693581
+0.0680889
+0.0668674
+0.0656963
+0.0645783
+0.0635062
+0.0624906
+0.0615362
+0.060646
+0.0598228
+0.0590695
+0.0583886
+0.0577828
+0.0572545
+0.0568058
+0.0564382
+0.056151
+0.0559483
+0.0558308
+0.0557991
+0.0558535
+0.0559935
+0.0562146
+0.0565185
+0.0569052
+0.057373
+0.05792
+0.0585438
+0.0592422
+0.0600124
+0.0608518
+0.0617575
+0.0627267
+0.0637565
+0.0648439
+0.0659862
+0.06718
+0.0684145
+0.0696959
+0.0710218
+0.0723898
+0.0737974
+0.0748695
+0.0759671
+0.0771114
+0.0783002
+0.0795317
+0.0808037
+0.0821145
+0.0834623
+0.0848452
+0.0862615
+0.0877097
+0.114813
+0.114335
+0.113726
+0.113156
+0.112626
+0.112137
+0.111688
+0.11128
+0.110915
+0.110591
+0.11031
+0.110072
+0.109877
+0.10842
+0.106809
+0.105219
+0.103651
+0.102106
+0.100585
+0.0990892
+0.0976195
+0.0961772
+0.0947637
+0.0933801
+0.0920279
+0.0907029
+0.0894115
+0.0881557
+0.0869369
+0.0857568
+0.0846169
+0.083519
+0.0824646
+0.0814556
+0.0804935
+0.0795801
+0.0787171
+0.0779062
+0.0771489
+0.076447
+0.0758018
+0.075215
+0.0746879
+0.0742217
+0.073813
+0.0726632
+0.0713183
+0.0700161
+0.0687591
+0.0675497
+0.0663906
+0.0652845
+0.0642242
+0.0632201
+0.062277
+0.0613975
+0.0605845
+0.0598407
+0.0591687
+0.058571
+0.0580499
+0.0576074
+0.0572443
+0.0569613
+0.0567614
+0.0566456
+0.0566144
+0.056668
+0.056806
+0.0570244
+0.0573241
+0.0577054
+0.0581668
+0.0587063
+0.0593219
+0.0600112
+0.0607717
+0.0616007
+0.0624956
+0.0634535
+0.0644717
+0.0655473
+0.0666775
+0.0678591
+0.0690815
+0.0703508
+0.0716646
+0.0730205
+0.0741118
+0.0751567
+0.0762502
+0.0773902
+0.0785749
+0.0798021
+0.0810699
+0.0823765
+0.08372
+0.0850987
+0.0865109
+0.087955
+0.115688
+0.115476
+0.114874
+0.11431
+0.113785
+0.1133
+0.112856
+0.112453
+0.112091
+0.111771
+0.111493
+0.111257
+0.110468
+0.108843
+0.107239
+0.105656
+0.104094
+0.102556
+0.101042
+0.0995525
+0.0980897
+0.0966545
+0.095248
+0.0938716
+0.0925265
+0.0912088
+0.0899247
+0.0886761
+0.0874646
+0.0862917
+0.085159
+0.0840681
+0.0830208
+0.0820185
+0.0810631
+0.0801562
+0.0792995
+0.0784946
+0.0777431
+0.0770465
+0.0764065
+0.0758243
+0.0753014
+0.074839
+0.0744338
+0.0733569
+0.072025
+0.0707358
+0.0694918
+0.0682955
+0.0671493
+0.0660559
+0.0650081
+0.0640163
+0.0630851
+0.062217
+0.0614149
+0.0606813
+0.0600187
+0.0594296
+0.058916
+0.0584801
+0.0581219
+0.0578432
+0.0576464
+0.0575324
+0.0575016
+0.0575544
+0.0576903
+0.0579059
+0.058201
+0.0585766
+0.0590312
+0.0595629
+0.0601697
+0.0608494
+0.0615996
+0.0624176
+0.0633009
+0.0642469
+0.0652526
+0.0663155
+0.0674329
+0.0686015
+0.0698109
+0.0710671
+0.0723679
+0.0734668
+0.0744563
+0.0754964
+0.0765851
+0.0777202
+0.0788999
+0.0801221
+0.0813849
+0.0826866
+0.0840251
+0.0853989
+0.0868062
+0.0882455
+0.116597
+0.116398
+0.116051
+0.115493
+0.114974
+0.114494
+0.114055
+0.113656
+0.113298
+0.112981
+0.112706
+0.112473
+0.110927
+0.109309
+0.107712
+0.106135
+0.104581
+0.10305
+0.101543
+0.100062
+0.0986064
+0.0971788
+0.09578
+0.0944113
+0.0930741
+0.0917642
+0.090488
+0.0892473
+0.0880436
+0.0868785
+0.0857536
+0.0846704
+0.0836306
+0.0826357
+0.0816876
+0.0807877
+0.0799377
+0.0791393
+0.0783939
+0.0777032
+0.0770686
+0.0764915
+0.0759732
+0.075515
+0.0751133
+0.074109
+0.0727909
+0.0715155
+0.0702853
+0.0691027
+0.0679701
+0.0668901
+0.0658556
+0.0648768
+0.0639581
+0.063102
+0.0623113
+0.0615884
+0.0609357
+0.0603554
+0.0598498
+0.0594208
+0.0590678
+0.0587935
+0.0585999
+0.0584877
+0.0584575
+0.0585094
+0.0586431
+0.0588558
+0.0591461
+0.0595158
+0.0599632
+0.0604868
+0.0610844
+0.061754
+0.0624933
+0.0632998
+0.064171
+0.0651043
+0.066097
+0.0671465
+0.0682503
+0.0694051
+0.0706008
+0.0718432
+0.0729466
+0.0738793
+0.0748634
+0.0758979
+0.0769809
+0.0781103
+0.0792842
+0.0805005
+0.0817575
+0.0830533
+0.084386
+0.085754
+0.0871556
+0.0885892
+0.11754
+0.117342
+0.117186
+0.116706
+0.116192
+0.115717
+0.115283
+0.114888
+0.114534
+0.11422
+0.113948
+0.113057
+0.111427
+0.109817
+0.108227
+0.106658
+0.105112
+0.103588
+0.102089
+0.100616
+0.0991688
+0.0977494
+0.0963589
+0.0949985
+0.0936697
+0.0923682
+0.0911005
+0.0898682
+0.088673
+0.0875163
+0.0863997
+0.0853247
+0.0842929
+0.083306
+0.0823655
+0.0814731
+0.0806304
+0.0798389
+0.0791001
+0.0784157
+0.0777869
+0.0772151
+0.0767017
+0.0762478
+0.0758501
+0.0749176
+0.0736139
+0.0723531
+0.0711374
+0.0699692
+0.0688508
+0.0677849
+0.0667643
+0.065799
+0.0648933
+0.0640498
+0.0632709
+0.062559
+0.0619165
+0.0613456
+0.0608482
+0.0604262
+0.0600787
+0.059809
+0.0596187
+0.0595085
+0.0594788
+0.0595298
+0.0596612
+0.0598707
+0.0601562
+0.0605197
+0.0609598
+0.0614748
+0.0620629
+0.0627221
+0.0634501
+0.0642446
+0.0651032
+0.0660232
+0.0670023
+0.0680379
+0.0691274
+0.0702679
+0.0714491
+0.0725307
+0.0734148
+0.0743529
+0.075332
+0.0763601
+0.0774367
+0.0785595
+0.0797268
+0.0809365
+0.0821868
+0.0834759
+0.084802
+0.0861634
+0.0875585
+0.0889856
+0.118515
+0.11832
+0.118164
+0.117944
+0.117436
+0.116966
+0.116536
+0.116146
+0.115795
+0.115485
+0.115216
+0.11359
+0.111968
+0.110366
+0.108784
+0.107223
+0.105685
+0.10417
+0.102679
+0.101215
+0.0997761
+0.0983655
+0.0969838
+0.0956323
+0.0943124
+0.0930199
+0.0917612
+0.090538
+0.0893517
+0.0882039
+0.0870961
+0.0860298
+0.0850066
+0.0840281
+0.0830958
+0.0822113
+0.0813762
+0.080592
+0.0798602
+0.0791823
+0.0785597
+0.0779936
+0.0774854
+0.0770361
+0.0766424
+0.075781
+0.0744924
+0.0732467
+0.072046
+0.0708928
+0.0697892
+0.0687378
+0.0677316
+0.0667803
+0.0658881
+0.0650575
+0.0642908
+0.0635904
+0.0629584
+0.062397
+0.0619081
+0.0614932
+0.0611514
+0.0608865
+0.0606995
+0.0605913
+0.0605621
+0.0606122
+0.0607412
+0.0609476
+0.061228
+0.0615852
+0.0620177
+0.062524
+0.0631024
+0.0637508
+0.0644672
+0.0652493
+0.0660948
+0.0670013
+0.0679663
+0.0689874
+0.0700622
+0.0711876
+0.0722454
+0.0730673
+0.0739449
+0.0748764
+0.0758597
+0.0768821
+0.0779514
+0.0790669
+0.0802268
+0.0814291
+0.082672
+0.0839536
+0.0852723
+0.0866263
+0.088014
+0.0894339
+0.119524
+0.11933
+0.119175
+0.119062
+0.118704
+0.118239
+0.117813
+0.117427
+0.117081
+0.116774
+0.115796
+0.114163
+0.112549
+0.110955
+0.109381
+0.107829
+0.1063
+0.104794
+0.103313
+0.101857
+0.100428
+0.0990262
+0.0976539
+0.0963118
+0.0950013
+0.0937184
+0.0924691
+0.0912554
+0.0900786
+0.0889401
+0.0878416
+0.0867845
+0.0857703
+0.0848006
+0.0838768
+0.0830007
+0.0821736
+0.0813971
+0.0806727
+0.0800016
+0.0793854
+0.0788253
+0.0783224
+0.077878
+0.0774886
+0.0766972
+0.0754242
+0.0741942
+0.0730091
+0.0718713
+0.070783
+0.0697466
+0.0687551
+0.0678182
+0.0669398
+0.0661224
+0.0653682
+0.0646795
+0.0640583
+0.0635066
+0.0630263
+0.0626183
+0.0622827
+0.0620226
+0.0618391
+0.0617328
+0.0617042
+0.0617533
+0.06188
+0.0620831
+0.0623584
+0.0627091
+0.063134
+0.0636314
+0.0641998
+0.0648372
+0.0655418
+0.0663112
+0.0671433
+0.0680358
+0.0689864
+0.0699926
+0.0710521
+0.0720923
+0.07285
+0.0736651
+0.0745357
+0.0754599
+0.0764357
+0.0774612
+0.0785238
+0.0796314
+0.0807832
+0.0819773
+0.083212
+0.0844854
+0.0857959
+0.0871418
+0.0885214
+0.0899333
+0.120563
+0.120371
+0.120218
+0.120105
+0.119998
+0.119538
+0.119117
+0.118735
+0.118393
+0.118041
+0.116399
+0.114775
+0.113169
+0.111584
+0.11002
+0.108477
+0.106957
+0.10546
+0.103988
+0.102542
+0.101122
+0.0997307
+0.0983682
+0.097036
+0.0957354
+0.0944624
+0.0932232
+0.0920194
+0.0908524
+0.0897238
+0.088635
+0.0875875
+0.0865827
+0.0856222
+0.0847074
+0.0838399
+0.0830212
+0.0822527
+0.0815359
+0.080872
+0.0802625
+0.0797085
+0.0792112
+0.0787718
+0.0783868
+0.0776644
+0.0764076
+0.0751936
+0.0740245
+0.0729026
+0.0718299
+0.0708088
+0.0698324
+0.0689101
+0.0680459
+0.0672419
+0.0665004
+0.0658235
+0.0652132
+0.0646714
+0.0641998
+0.0637988
+0.0634694
+0.0632142
+0.0630342
+0.0629299
+0.0629019
+0.0629501
+0.0630744
+0.0632741
+0.0635443
+0.0638885
+0.0643055
+0.0647939
+0.0653522
+0.0659785
+0.066671
+0.0674275
+0.068246
+0.0691243
+0.0700601
+0.0710511
+0.0720614
+0.0727641
+0.0735149
+0.0743227
+0.0751857
+0.076102
+0.0770697
+0.0780869
+0.0791516
+0.0802517
+0.0813947
+0.08258
+0.0838058
+0.0850704
+0.086372
+0.087709
+0.0890799
+0.090483
+0.121633
+0.121442
+0.121291
+0.121179
+0.121107
+0.120863
+0.120447
+0.120069
+0.119731
+0.118673
+0.11704
+0.115424
+0.113828
+0.112253
+0.110697
+0.109164
+0.107654
+0.106167
+0.104705
+0.103269
+0.101859
+0.100478
+0.0991257
+0.0978039
+0.0965137
+0.0952511
+0.0940222
+0.0928288
+0.0916722
+0.0905538
+0.089475
+0.0884374
+0.0874424
+0.0864915
+0.085586
+0.0847275
+0.0839175
+0.0831573
+0.0824483
+0.0817918
+0.0811892
+0.0806416
+0.0801501
+0.079715
+0.0793339
+0.0786807
+0.0774404
+0.0762428
+0.0750901
+0.0739843
+0.0729276
+0.0719221
+0.070961
+0.0700536
+0.0692036
+0.0684132
+0.0676846
+0.0670196
+0.0664203
+0.0658884
+0.0654256
+0.0650317
+0.0647086
+0.0644583
+0.0642818
+0.0641795
+0.064152
+0.0641993
+0.0643212
+0.0645172
+0.0647825
+0.0651201
+0.0655293
+0.0660087
+0.0665568
+0.0671719
+0.0678522
+0.0685957
+0.0694004
+0.0702643
+0.0711851
+0.0721485
+0.0727995
+0.0734951
+0.0742385
+0.0750386
+0.0758934
+0.0768013
+0.0777602
+0.0787685
+0.0798241
+0.0809253
+0.0820601
+0.083236
+0.0844523
+0.0857073
+0.0869994
+0.0883269
+0.0896883
+0.0910821
+0.122733
+0.122544
+0.122394
+0.122283
+0.122211
+0.122179
+0.121802
+0.121428
+0.120784
+0.119342
+0.117718
+0.116112
+0.114526
+0.112959
+0.111414
+0.109891
+0.108391
+0.106914
+0.105463
+0.104037
+0.102638
+0.101267
+0.0999256
+0.0986145
+0.097335
+0.0960832
+0.0948651
+0.0936824
+0.0925365
+0.0914287
+0.0903604
+0.0893331
+0.0883481
+0.087407
+0.0865112
+0.0856619
+0.0848608
+0.0841091
+0.0834082
+0.0827594
+0.0821638
+0.0816228
+0.0811373
+0.0807054
+0.080329
+0.0797443
+0.0785208
+0.0773399
+0.0762038
+0.0751144
+0.0740738
+0.0730841
+0.0721385
+0.071246
+0.0704105
+0.0696338
+0.068918
+0.0682651
+0.0676768
+0.0671549
+0.0667009
+0.0663141
+0.0659972
+0.0657519
+0.0655788
+0.0654786
+0.0654516
+0.0654979
+0.0656174
+0.0658096
+0.0660702
+0.0664013
+0.0668026
+0.0672729
+0.0678108
+0.0684146
+0.0690827
+0.0698131
+0.0706039
+0.0714532
+0.0723589
+0.0729484
+0.0735923
+0.0742836
+0.0750192
+0.075811
+0.0766572
+0.0775561
+0.0785059
+0.0795047
+0.0805507
+0.081642
+0.082777
+0.083944
+0.0851502
+0.0863951
+0.0876771
+0.0889945
+0.0903458
+0.0917296
+0.123861
+0.123674
+0.123526
+0.123416
+0.123345
+0.123312
+0.12318
+0.122674
+0.121275
+0.11986
+0.118423
+0.116837
+0.11526
+0.113704
+0.112169
+0.110657
+0.109167
+0.107701
+0.10626
+0.104845
+0.103457
+0.102097
+0.100767
+0.0994667
+0.0981984
+0.0969577
+0.0957507
+0.0945791
+0.0934442
+0.0923472
+0.0912897
+0.090273
+0.0892984
+0.0883674
+0.0874814
+0.0866417
+0.0858497
+0.0851068
+0.0844141
+0.0837731
+0.0831848
+0.0826504
+0.0821708
+0.0817425
+0.0813709
+0.0808532
+0.0796467
+0.0784829
+0.0773635
+0.0762907
+0.0752664
+0.0742925
+0.0733625
+0.0724851
+0.071664
+0.0709011
+0.0701982
+0.0695573
+0.06898
+0.068468
+0.0680228
+0.0676431
+0.0673325
+0.067092
+0.0669224
+0.0668242
+0.0667978
+0.0668432
+0.0669603
+0.0671486
+0.0674044
+0.067729
+0.0681226
+0.0685838
+0.0691115
+0.069704
+0.0703598
+0.0710771
+0.0718541
+0.0726888
+0.0732219
+0.0737983
+0.0744348
+0.0751276
+0.075855
+0.0766382
+0.0774754
+0.0783649
+0.079305
+0.0802938
+0.0813297
+0.0824108
+0.0835353
+0.0847016
+0.0858983
+0.0871326
+0.0884038
+0.0897106
+0.0910513
+0.0924245
+0.125018
+0.124833
+0.124686
+0.124577
+0.124506
+0.124474
+0.124481
+0.123195
+0.121802
+0.120409
+0.118979
+0.117572
+0.116032
+0.114486
+0.112962
+0.11146
+0.109981
+0.108526
+0.107096
+0.105692
+0.104316
+0.102967
+0.101648
+0.10036
+0.0991026
+0.0978734
+0.0966779
+0.0955177
+0.094394
+0.0933082
+0.0922617
+0.0912558
+0.0902919
+0.0893712
+0.0884952
+0.0876652
+0.0868826
+0.0861485
+0.0854644
+0.0848312
+0.0842504
+0.0837228
+0.0832473
+0.0828245
+0.0824579
+0.0820057
+0.0808164
+0.0796696
+0.0785672
+0.0775111
+0.0765031
+0.0755451
+0.0746307
+0.0737685
+0.0729618
+0.0722125
+0.0715226
+0.0708937
+0.0703274
+0.0698252
+0.0693884
+0.0690161
+0.0687117
+0.0684761
+0.0683099
+0.0682137
+0.0681878
+0.0682323
+0.068347
+0.0685315
+0.0687826
+0.0691007
+0.0694865
+0.0699388
+0.0704563
+0.0710376
+0.0716812
+0.0723854
+0.0731485
+0.0736248
+0.0741335
+0.0747029
+0.0753317
+0.0760185
+0.0767444
+0.0775185
+0.0783463
+0.0792261
+0.0801561
+0.0811345
+0.0821598
+0.0832301
+0.0843437
+0.085499
+0.0866942
+0.0879184
+0.0891785
+0.0904741
+0.0918036
+0.0931657
+0.126203
+0.126019
+0.125873
+0.125765
+0.125696
+0.125664
+0.125163
+0.123754
+0.122367
+0.120995
+0.119573
+0.118173
+0.116797
+0.115304
+0.113791
+0.1123
+0.110832
+0.109389
+0.10797
+0.106578
+0.105213
+0.103876
+0.102569
+0.101292
+0.100047
+0.0988293
+0.0976454
+0.0964968
+0.0953847
+0.0943103
+0.0932751
+0.0922802
+0.0913271
+0.0904169
+0.0895512
+0.0887311
+0.0879579
+0.0872329
+0.0865573
+0.0859322
+0.0853589
+0.0848382
+0.0843669
+0.0839499
+0.0835881
+0.0831999
+0.0820279
+0.0808984
+0.0798129
+0.0787734
+0.0777818
+0.0768398
+0.075941
+0.0750938
+0.0743015
+0.0735659
+0.0728888
+0.0722717
+0.0717163
+0.071224
+0.0707953
+0.0704305
+0.0701322
+0.0699014
+0.0697386
+0.0696444
+0.069619
+0.0696626
+0.0697749
+0.0699557
+0.0702021
+0.0705139
+0.0708919
+0.0713353
+0.0718428
+0.072413
+0.0730444
+0.0737356
+0.0741552
+0.0745958
+0.0750979
+0.07566
+0.076281
+0.0769593
+0.0776853
+0.0784502
+0.0792683
+0.0801379
+0.0810574
+0.0820251
+0.0830394
+0.0840985
+0.0852008
+0.0863446
+0.0875283
+0.0887471
+0.0899978
+0.0912838
+0.0926017
+0.0939522
+0.127414
+0.127232
+0.127087
+0.126981
+0.126911
+0.12688
+0.125751
+0.124348
+0.122968
+0.12161
+0.120203
+0.118811
+0.117443
+0.1161
+0.114656
+0.113176
+0.11172
+0.110288
+0.108882
+0.107501
+0.106148
+0.104823
+0.103528
+0.102263
+0.101029
+0.099824
+0.0986521
+0.0975153
+0.096415
+0.0953522
+0.0943284
+0.0933447
+0.0924026
+0.0915032
+0.0906478
+0.0898377
+0.0890741
+0.0883583
+0.0876914
+0.0870744
+0.0865086
+0.0859933
+0.0855281
+0.0851167
+0.0847599
+0.0844341
+0.0832795
+0.0821671
+0.0810986
+0.0800759
+0.0791005
+0.0781745
+0.0772912
+0.0764589
+0.0756809
+0.0749589
+0.0742944
+0.0736891
+0.0731445
+0.0726618
+0.0722413
+0.0718838
+0.0715916
+0.0713655
+0.071206
+0.0711138
+0.0710889
+0.0711316
+0.0712416
+0.0714187
+0.0716605
+0.0719659
+0.0723364
+0.072771
+0.0732685
+0.0738277
+0.0744471
+0.0748101
+0.0751831
+0.0756178
+0.0761131
+0.0766678
+0.0772807
+0.0779503
+0.0786752
+0.0794314
+0.0802394
+0.0810986
+0.0820074
+0.082964
+0.083967
+0.0850145
+0.086105
+0.087237
+0.0884087
+0.0896156
+0.0908544
+0.0921286
+0.0934368
+0.0947776
+0.128651
+0.128471
+0.128327
+0.128222
+0.128153
+0.127793
+0.126374
+0.124978
+0.123605
+0.122255
+0.120869
+0.119486
+0.118125
+0.11679
+0.115482
+0.114088
+0.112644
+0.111224
+0.109829
+0.108461
+0.10712
+0.105807
+0.104524
+0.103271
+0.10205
+0.100857
+0.0996968
+0.0985721
+0.0974836
+0.0964326
+0.0954204
+0.0944481
+0.0935171
+0.0926285
+0.0917836
+0.0909836
+0.0902298
+0.0895232
+0.088865
+0.0882563
+0.087698
+0.0871879
+0.086729
+0.0863233
+0.0859716
+0.0856744
+0.0845693
+0.0834741
+0.0824225
+0.0814164
+0.0804573
+0.0795471
+0.0786792
+0.0778617
+0.0770979
+0.0763893
+0.0757374
+0.0751437
+0.0746097
+0.0741366
+0.073724
+0.0733737
+0.0730875
+0.072866
+0.0727099
+0.0726195
+0.0725952
+0.0726369
+0.0727447
+0.0729181
+0.0731554
+0.0734546
+0.0738176
+0.0742435
+0.0747312
+0.0752796
+0.0755865
+0.0758925
+0.0762602
+0.0766888
+0.0771772
+0.0777244
+0.0783289
+0.0789897
+0.0797037
+0.0804602
+0.0812581
+0.0821066
+0.0830043
+0.0839496
+0.0849409
+0.0859766
+0.0870551
+0.0881748
+0.0893342
+0.0905288
+0.0917552
+0.0930171
+0.094313
+0.0956415
+0.129913
+0.129734
+0.129593
+0.129488
+0.129417
+0.128443
+0.127032
+0.125643
+0.124278
+0.122935
+0.121564
+0.120196
+0.118844
+0.117518
+0.116217
+0.114943
+0.113602
+0.112194
+0.110812
+0.109456
+0.108127
+0.106826
+0.105556
+0.104315
+0.103107
+0.101926
+0.100778
+0.0996657
+0.0985893
+0.0975503
+0.0965498
+0.095589
+0.0946692
+0.0937915
+0.0929572
+0.0921674
+0.0914233
+0.090726
+0.0900766
+0.0894761
+0.0889247
+0.0884205
+0.0879681
+0.0875682
+0.0872215
+0.0869286
+0.0858956
+0.0848175
+0.0837828
+0.0827932
+0.0818503
+0.0809557
+0.0801031
+0.0793003
+0.0785504
+0.077855
+0.0772155
+0.0766333
+0.0761097
+0.075646
+0.0752413
+0.0748981
+0.0746177
+0.0744008
+0.0742479
+0.0741594
+0.0741356
+0.0741765
+0.074282
+0.0744518
+0.0746847
+0.0749778
+0.0753334
+0.0757508
+0.0762289
+0.0764805
+0.0767205
+0.077022
+0.0773844
+0.0778068
+0.0782882
+0.0788276
+0.0794238
+0.0800755
+0.0807771
+0.0815243
+0.0823224
+0.0831601
+0.0840466
+0.0849802
+0.0859596
+0.0869832
+0.0880494
+0.0891566
+0.0903035
+0.0914853
+0.0926991
+0.0939483
+0.0952315
+0.0965474
+0.131199
+0.131023
+0.13088
+0.130769
+0.130553
+0.129128
+0.127724
+0.126343
+0.124985
+0.123645
+0.122294
+0.120941
+0.119599
+0.118281
+0.116989
+0.115724
+0.114487
+0.113199
+0.111829
+0.110485
+0.109169
+0.107881
+0.106623
+0.105395
+0.104199
+0.10303
+0.101895
+0.100795
+0.0997309
+0.0987039
+0.0977152
+0.096766
+0.0958575
+0.0949908
+0.0941671
+0.0933875
+0.0926532
+0.0919653
+0.0913246
+0.0907324
+0.0901868
+0.0896898
+0.0892438
+0.0888496
+0.0885079
+0.0882193
+0.0872567
+0.0861956
+0.0851777
+0.0842045
+0.0832776
+0.0823984
+0.0815609
+0.0807726
+0.0800366
+0.0793542
+0.0787268
+0.0781559
+0.0776426
+0.0771881
+0.0767911
+0.0764549
+0.0761802
+0.0759677
+0.075818
+0.0757314
+0.075708
+0.0757481
+0.0758514
+0.0760177
+0.0762462
+0.0765333
+0.0768818
+0.0772908
+0.0774882
+0.0776633
+0.0778996
+0.0781965
+0.0785535
+0.0789696
+0.079444
+0.0799756
+0.0805633
+0.0812059
+0.0818949
+0.0826321
+0.0834203
+0.0842574
+0.0851324
+0.0860543
+0.0870216
+0.0880328
+0.0890864
+0.090181
+0.0913149
+0.0924839
+0.0936847
+0.094921
+0.0961912
+0.0974941
+0.132509
+0.132327
+0.132181
+0.132071
+0.131263
+0.129845
+0.12845
+0.127077
+0.125726
+0.124387
+0.123059
+0.121715
+0.120389
+0.11908
+0.117796
+0.11654
+0.115312
+0.114112
+0.112879
+0.111548
+0.110244
+0.108969
+0.107724
+0.106509
+0.105325
+0.104169
+0.103047
+0.101959
+0.100907
+0.0998923
+0.0989154
+0.0979779
+0.0970807
+0.096225
+0.095412
+0.0946427
+0.0939182
+0.0932395
+0.0926077
+0.0920235
+0.091484
+0.0909941
+0.0905545
+0.0901661
+0.0898293
+0.089545
+0.0886511
+0.0876069
+0.0866056
+0.0856486
+0.0847374
+0.0838736
+0.083051
+0.082277
+0.0815545
+0.0808849
+0.0802695
+0.0797096
+0.0792064
+0.0787605
+0.0783715
+0.0780421
+0.077773
+0.0775649
+0.0774183
+0.0773334
+0.0773106
+0.0773498
+0.077451
+0.0776139
+0.0778381
+0.0781193
+0.0784608
+0.0786052
+0.0787168
+0.0788891
+0.0791218
+0.0794142
+0.0797657
+0.0801755
+0.0806428
+0.0811666
+0.0817457
+0.0823791
+0.0830556
+0.0837825
+0.08456
+0.0853866
+0.0862602
+0.0871702
+0.0881253
+0.0891239
+0.0901648
+0.0912464
+0.0923673
+0.0935231
+0.0947108
+0.0959338
+0.0971908
+0.0984805
+0.133829
+0.133649
+0.133505
+0.133396
+0.132005
+0.130596
+0.129208
+0.127843
+0.126495
+0.125162
+0.123854
+0.122523
+0.121212
+0.119913
+0.118639
+0.117391
+0.116172
+0.114982
+0.113821
+0.112643
+0.111353
+0.11009
+0.108858
+0.107655
+0.106485
+0.105342
+0.104232
+0.103156
+0.102117
+0.101114
+0.100149
+0.0992233
+0.0983375
+0.0974928
+0.0966904
+0.0959314
+0.0952167
+0.0945474
+0.0939244
+0.0933466
+0.0928148
+0.0923319
+0.0918988
+0.091516
+0.0911843
+0.0909042
+0.0900771
+0.0890497
+0.0880648
+0.0871238
+0.0862283
+0.0853795
+0.0845715
+0.0838116
+0.0831024
+0.0824454
+0.0818418
+0.0812927
+0.0807984
+0.0803598
+0.0799786
+0.0796558
+0.0793922
+0.0791883
+0.0790447
+0.0789616
+0.0789392
+0.0789776
+0.0790767
+0.0792363
+0.079456
+0.079734
+0.0798164
+0.0798767
+0.0799865
+0.0801561
+0.0803851
+0.0806729
+0.081019
+0.0814225
+0.0818827
+0.0823986
+0.0829691
+0.0835918
+0.0842572
+0.0849739
+0.0857405
+0.0865559
+0.0874185
+0.0883263
+0.089269
+0.0902551
+0.091283
+0.0923515
+0.0934592
+0.0946016
+0.0957759
+0.0969855
+0.098229
+0.0995053